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1
+ 1
2
+ 00:00:10,660 --> 00:00:16,180
3
+ ุจุณู… ุงู„ู„ู‡ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฑุณูˆู„ ุงู„ู„ู‡ ู†ูƒู…ู„ุŒ ูุถู„ูŠ
4
+
5
+ 2
6
+ 00:00:16,180 --> 00:00:22,480
7
+ ูŠุง ู‡ุงู„ุฉ ู‡ู†ุงุŒ ูุถู„ูŠ ู‡ู†ุงุŒ ู‡ู†ุงุŒ ู‡ู†ุงุŒ ูŠู„ู‘ุง ุทุจุนุง ุงู„ู„ูŠ
8
+
9
+ 3
10
+ 00:00:22,480 --> 00:00:25,700
11
+ ุฌุงุจู‡ ู…ุฌู‡ูˆุฏ ุฑุณู… ุงู„ุฎุฑุงูŠุท
12
+
13
+ 4
14
+ 00:00:29,130 --> 00:00:38,710
15
+ ุทุงู„ุจุฉ ุฑู†ุง ุงู„ุดู†ุทุฉ ูˆู†ุดูˆู ุงู„ู…ุฌู‡ูˆุฏ ุชุจุนู‡ุง ูƒุชูŠุฑ ูƒูˆูŠุณุŒ
16
+
17
+ 5
18
+ 00:00:38,710 --> 00:00:45,250
19
+ ู…ุงุฎุฏ ุฌู‡ูˆุฏุŒ ุตุงุจุฑุฉ ูƒุชูŠุฑ ุนู„ู‰ ู…ุฌู‡ูˆุฏู‡ุงุŒ ู‡ุฐุง ุจูŠุฏู„ ุนู„ู‰
20
+
21
+ 6
22
+ 00:00:45,250 --> 00:00:53,360
23
+ ุงู†ู‡ ุงุชู‚ุงู† ุงู„ุนู…ู„ุŒ ุงู† ุงู„ู„ู‡ ูŠุญุจู‡ุŒ ุญุฏูƒู… ุงูŠู‡ ุฏู‡ุŸุงู†ูŠ
24
+
25
+ 7
26
+ 00:00:53,360 --> 00:00:59,780
27
+ ุงุชู‚ู†ู‡ุง ูŠุนู†ูŠ ูƒุชูŠุฑ ู‡ุฐู‡ ุทุจุนุง ุงู† ุดุงุก ุงู„ู„ู‡ ุงุฐุง ุชู… ุงู„ุนู…ู„
28
+
29
+ 8
30
+ 00:00:59,780 --> 00:01:07,600
31
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุญุงุถุฑ ุดูˆู ู†ุธุงู… ุงู„ููŠุฑุฏุงุช ุตุนุจ ุงู†ู‡ ู„ูƒู†
32
+
33
+ 9
34
+ 00:01:07,600 --> 00:01:14,140
35
+ ู…ุนู…ูˆู„ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู‡ูŠ ูƒุฏู‡ ุงู„ููŠุฑุฏุงุช ู„ูƒู†
36
+
37
+ 10
38
+ 00:01:14,140 --> 00:01:20,000
39
+ ุจุงู„ุตุจุฑ ูˆ ุจุงู„ุชุนุงู†ูŠ ุจู†ู†ุฌุฒ ุนู…ู„ุงู† ู…ุดูƒู„ุชู†ุง ุงู† ุงุญู†ุง ู…ุด
40
+
41
+ 11
42
+ 00:01:20,000 --> 00:01:27,980
43
+ ุตุงุจุฑูŠู†ุฑุบู… ุฃู† ุงู„ู‚ุฑุขู† ุจูŠู‚ูˆู„ ุฅู†ู…ุง ูŠูˆูู‰ ุจุบูŠุฑ ุญุณุงุจ ุญุชู‰
44
+
45
+ 12
46
+ 00:01:27,980 --> 00:01:32,100
47
+ ุฃุญุฏ ุงู„ุตุญุงุจุฉ ูƒุงู† ู…ุจุณูˆุท ูƒุชูŠุฑ ุฅุฐุง ูŠุนู†ูŠ ุฃุตูŠุจ ู…ุตูŠุฑ ูˆุตุจุฑ
48
+
49
+ 13
50
+ 00:01:32,100 --> 00:01:37,280
51
+ ูุจู‚ูˆู„ูƒ ุฃู†ุง ุญุณุงุจูŠ ุฃูˆ ุฃุฌุฑูŠ ุนู†ุฏ ุงู„ู„ู‡ ุจู„ุง ุญุฏูˆุฏ ูุงู„ุนู…ู„
52
+
53
+ 14
54
+ 00:01:37,280 --> 00:01:42,960
55
+ ุจุฏู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ ุฅุฐุง ุงุณุชู…ุฑ ุงู„ุนู…ู„ ุจู‡ุฐุง ุงู„ุดูƒู„ ุทุจุนุง
56
+
57
+ 15
58
+ 00:01:42,960 --> 00:01:48,380
59
+ ู‡ุชุงุฎุฏ ุงู„ full mark ู‚ุฏุด ุชู‚ูˆู„ู†ุง ุงู„ full mark ุฎู…ุณ
60
+
61
+ 16
62
+ 00:01:48,380 --> 00:01:59,300
63
+ ุชุงุดุฑูŠู† ู„ู…ู† ุนู…ู„ูˆู†ุดูˆู ุชูŠุฌูŠ ุชุณู„ู… ุงู„ุดุบู„
64
+
65
+ 17
66
+ 00:01:59,300 --> 00:02:07,900
67
+ ุชุจุนู‡ุง ุชุนุงู„ู‰ ุฃุฎุฏู‡ุง ุดุงู†ุชู‡ุง ูู‰ ุงู„ุฏุงุฎู„ ุชูุถู„ูŠ ุงู„ู†ุจุงุช
68
+
69
+ 18
70
+ 00:02:07,900 --> 00:02:14,020
71
+ ุงู„ุทุจูŠุนู‰ ูู‰ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ ุจู‚ูˆู„ู†ุง ู‡ู†ุงูƒ ุงุฑุชุจุงุท ุชุฒุงู…ู†ู‰
72
+
73
+ 19
74
+ 00:02:14,020 --> 00:02:20,540
75
+ ุจูŠู† ุงู„ู…ู†ุงุฎ ูˆุงู„ู†ุจุงู„ ุจุญูŠุซ ุงู† ุงู†ุง ู„ูˆ ุฑูุนุชุงู„ุงู‚ู„ูŠู…
76
+
77
+ 20
78
+ 00:02:20,540 --> 00:02:26,900
79
+ ุงู„ู…ู†ุงุฎูŠ ู‡ูŠุญู„ ู…ุญู„ู‡ ุฅูŠุด ูŠุง ุฃุณู…ุงุกุŸ ุงู‚ู„ูŠู… ู†ุจุงุชูŠุŒ ุงู‚ู„ูŠู…
80
+
81
+ 21
82
+ 00:02:26,900 --> 00:02:34,240
83
+ ู†ุจุงุชูŠ ู‚ู„ู†ุง ููŠ ุงู„ู…ู†ุงุฎ ู„ูˆ ุฃู†ุง ุณุฑุช ู…ู† ุงู„ุดู…ุงู„ ุฅู„ู‰
84
+
85
+ 22
86
+ 00:02:34,240 --> 00:02:38,740
87
+ ุงู„ุฌู†ูˆุจ ููŠ ุขุณูŠุง ูˆู…ู† ุงู„ุฌู†ูˆุจ ุฅู„ู‰ ุงู„ุดู…ุงู„ ุณุฃู…ุฑ ุนู„ู‰
88
+
89
+ 23
90
+ 00:02:38,740 --> 00:02:46,000
91
+ ุฃู‚ุงู„ูŠู… ู…ุชุนุฏุฏุฉ ูˆู…ุชู†ูˆุนุฉ ููŠ ุขุณูŠุง ู„ูˆ ูƒุงู† ู‡ุฐุง ุงู„ูƒู„ุงู…
92
+
93
+ 24
94
+ 00:02:46,000 --> 00:02:52,900
95
+ ุจุฏูŠ ุฃุณู‚ุทู‡ ุนู„ู‰ ุงู„ู†ุจุงุชุชุนุงู„ู‰ ูŠุนู†ูŠุŒ ูุถู‘ู‰ ู†ู…ุดูŠุŒ ูุฅูŠุด
96
+
97
+ 25
98
+ 00:02:52,900 --> 00:02:59,200
99
+ ู…ุนู†ุงู‡ุŸ ุฅู†ู‡ ุฃูŠุถู‹ุง ุณู†ุฌุฏ ู†ุจุงุช ู…ุชู†ูˆุน ูˆู…ุชุนุฏุฏ ููŠ ุงู„ู‚ุงุฑุฉ
100
+
101
+ 26
102
+ 00:03:05,000 --> 00:03:08,260
103
+ ุฅู†ู‡ ุฃูƒุชุฑ ู…ู† ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ู…ุณุงุญุฉ ุงู„ู‚ุงุฑุฉ ุฃุดู…ู„ู‡ุง
104
+
105
+ 27
106
+ 00:03:08,260 --> 00:03:13,200
107
+ ุตุญุฑุงุกุŒ ูŠุนู†ูŠ ุฃูƒุชุฑ ู…ู† ุชู„ุงุชุงุดุฑ ู…ู„ูŠูˆู† ูƒูŠู„ูˆู…ุชุฑ ู…ุฑุจุนุŒ
108
+
109
+ 28
110
+ 00:03:13,200 --> 00:03:19,200
111
+ ู„ูƒู† ุนู†ุฏ ุงู„ู†ุจุงุชุŒ ุจู‚ูˆู„ ู„ูŠ ุจุงุณุชุซู†ุงุก ุงู„ู…ู†ุงุทู‚ ุงู„ุฎุทุจูŠุฉ
112
+
113
+ 29
114
+ 00:03:19,200 --> 00:03:28,000
115
+ ุงู„ู…ุชุฌู…ุฏุฉ ูˆุงู„ุฌุจุงู„ ุงู„ู‚ุงุญู„ุฉุŒ ู„ู… ูŠุบุจ ุงู„ู†ุจุงุช ุนู† ุงู„ู‚ุงุฑุฉ
116
+
117
+ 30
118
+ 00:03:28,960 --> 00:03:33,660
119
+ ุดูˆ ู‡ุฐุง ูŠุนู†ูŠุŸ ุฅู†ู‡ ุญุชู‰ ุงู„ุตุญุฑุงุก ููŠู‡ุง ุฅูŠุดุŸ ู‡ูˆ ุงู„ู…ุนุฑูˆู
120
+
121
+ 31
122
+ 00:03:33,660 --> 00:03:40,720
123
+ ุจุงุณู… ุงู„ู†ุจุงุช ุงู„ุตุญุฑุงูˆูŠุŒ ุงู„ู†ุจุงุช ุงู„ุตุญุฑุงูˆูŠ ุทุจุนุง ุฃู†ุง
124
+
125
+ 32
126
+ 00:03:40,720 --> 00:03:49,920
127
+ ุนู†ุฏูŠ ุชุฃุซูŠุฑ ูˆุงุถุญ ุนู„ู‰ ุงู„ู…ู†ุงุฎุŒ ุนู„ู‰ ุงู„ู†ุจุงุช ู…ู† ุงู„ู…ู†ุงุฎุŒ
128
+
129
+ 33
130
+ 00:03:49,920 --> 00:03:53,440
131
+ ู„ูƒู† ููŠู‡ ุจุชู…ูŠุฒ ุจูŠู† ุงู„ุญุฑุงุฑุฉ ูˆุงู„ู…ุทุฑ
132
+
133
+ 34
134
+ 00:03:55,750 --> 00:04:03,030
135
+ ุงู„ุญุฑุงุฑุฉ ุดูˆ ุจุชุนู…ู„ ููŠ ุงู„ู†ุจุงุชุŸ ุชู†ูˆุน ุญูƒูŠุช ู‡ุฐุง ุงู„ูƒู„ุงู…
136
+
137
+ 35
138
+ 00:04:03,030 --> 00:04:08,550
139
+ ู…ุฑุฉ ูุงุชุฑุฉุŸ ู„ุฃ ุงู„ุญุฑุงุฑุฉ ุชุนู…ู„ ููŠ ุงู„ู†ุจุงุช ุชู†ูˆุน ูŠุนู†ูŠ ุนู„ู‰
140
+
141
+ 36
142
+ 00:04:08,550 --> 00:04:12,030
143
+ ุญุณุจ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูˆุนู„ู‰ ุญุณุจ ุงู„ุฅู‚ู„ูŠู… ุงู„ุญุฑุงุฑูŠ ุจุงุฎุฏ
144
+
145
+ 37
146
+ 00:04:12,030 --> 00:04:19,070
147
+ ุฅู‚ู„ูŠู…ุง ู†ุจุงุชูŠุงู„ูƒู† ุญุณุจ ูƒู…ูŠุฉ ุงู„ู…ุทุฑ ุดูˆ ุจุงุฎุฏุŸ ุชุฏุฑุฌ
148
+
149
+ 38
150
+ 00:04:19,070 --> 00:04:25,030
151
+ ู†ุจุงุชูŠ ุจุงุฎุฏ ุญุณุจ ูƒู…ูŠุฉ ุงู„ู…ุทุฑ ุชุฏุฑุฌ ุจุญุณ ุงู† ูƒู„ู…ุง ุฒุงุฏุช
152
+
153
+ 39
154
+ 00:04:25,030 --> 00:04:31,630
155
+ ุงู„ุฃู…ุทุงุฑ ุงู„ุณุงู‚ุทุฉ ูƒู„ู…ุง ุฒุงุฏุช ุงู„ู†ุจุงุช ุญุฌู…ุง ูˆ ุตู„ุงุจุฉ ูˆ
156
+
157
+ 40
158
+ 00:04:31,630 --> 00:04:35,170
159
+ ูƒุซุงูุฉ ุงู„ุงุฎุฑ ูุงู‡ู…ู†ุงุŸ ู‡ูŠุฌูŠ ู†ุดูˆู
160
+
161
+ 41
162
+ 00:04:38,350 --> 00:04:42,630
163
+ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุฐู„ูƒ ุฅู†ู‡ ุฃูŠุถู‹ุง ูŠุชุฃุซุฑ ุงู„ู†ุจุงุช ููŠ ุฃุณุจู„
164
+
165
+ 42
166
+ 00:04:42,630 --> 00:04:49,810
167
+ ุงู„ุนูˆุงู…ู„ ุงู„ุจุดุฑูŠุฉ ุงู„ุฅู†ุณุงู† ูˆุงู„ุฅู†ุณุงู† ุฒูŠ ๏ฟฝ๏ฟฝุง ู‡ูˆ ุจุงู†ูŠ ู‡ูˆ
168
+
169
+ 43
170
+ 00:04:49,810 --> 00:04:57,870
171
+ ุฃูŠุถู‹ุง ู‡ุฏู… ูˆุญู†ุดูˆู ุงู„ุขู† ู‡ุฏู…ู‡ ู„ู„ู†ุจุงุช ุงู„ุทุจูŠุนูŠ ุฃูƒุซุฑ ู…ู†
172
+
173
+ 44
174
+ 00:04:57,870 --> 00:05:02,650
175
+ ุจู†ุงุกู‡ ู„ู‡ ู…ุงุดูŠุŸ
176
+
177
+ 45
178
+ 00:05:02,650 --> 00:05:05,210
179
+ ุงู„ุฃู‚ุงู„ูŠู… ุงู„ู…ู†ุงุฎูŠุฉ ููŠ ุฃุณูŠุง ุงู„ุฃู‚ุงู„ูŠู… ุงู„ู…ู†ุงุฎูŠุฉ
180
+
181
+ 46
182
+ 00:05:05,210 --> 00:05:13,530
183
+ ุงู„ู†ุจุงุชูŠุฉ ููŠ ุฃุณูŠุงูˆุงุญุฏ ุฅู‚ู„ูŠู… ุงู„ุบุงุจุงุช ุงู„ุงุณุชูˆุงุนูŠ ู‡ูˆ ู‡ูˆ
184
+
185
+ 47
186
+ 00:05:13,530 --> 00:05:21,350
187
+ ู†ูุณ ุญุงู„ุฉ ุงู„ุฅู‚ู„ูŠู… ุงู„ู…ู†ุงุฎูŠ ุงู„ุงุณุชูˆุงุนูŠ ูˆูŠู†ุจูŠุฌุง ููŠ
188
+
189
+ 48
190
+ 00:05:21,350 --> 00:05:27,030
191
+ ุงู„ู†ุทุงู‚ ุงู„ุฌุฒุฑูŠ ููŠ ุฌู†ูˆุจ ุดุฑู‚ ุฃุณุฑู‰ ุงู„ู„ูŠ ู‡ูŠ ุฃู†ุฏูˆู†ุณูŠุง
192
+
193
+ 49
194
+ 00:05:27,030 --> 00:05:33,890
195
+ ูˆุงู„ูู„ูŠุจูŠุง ุงู„ุฎุตุงุฆุต ุงู„ู…ู†ุงุฎูŠุฉุฃุญู†ุง ู‚ู„ู†ุง ู„ูƒู… ููŠ
196
+
197
+ 50
198
+ 00:05:33,890 --> 00:05:38,390
199
+ ุงู„ุงู…ุชุญุงู†ุŒ ู„ูˆ ุฃู†ุง ุจุฏุฃ ุฃุฌูŠุจ ุฅู‚ู„ูŠู… ู†ุจุงุชูŠ ุฃูˆ ุฅู‚ู„ูŠู…
200
+
201
+ 51
202
+ 00:05:38,390 --> 00:05:45,130
203
+ ู…ู†ุงุฎูŠุŒ ุจุฏุฃ ุฃู‚ูˆู„ ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠุŒ ุงู„ู…ูˆู‚ุน ุงู„ูู„ูƒูŠุŒ
204
+
205
+ 52
206
+ 00:05:45,130 --> 00:05:51,090
207
+ ุฎุตุงุฆุต ุงู„ู…ู†ุงุฎุŒ ุญุฑุงุฑุฉ ู…ุทุฑุŒ ุญุฑุงุฑุฉ ุตูŠูุง ูˆ ุดุชุงุกุŒ ู…ุทุฑ
208
+
209
+ 53
210
+ 00:05:51,090 --> 00:05:56,900
211
+ ุตูŠูุง ูˆ ุดุชุงุกุŒ ู‡ุฐู‡ ุงู„ุฅุฌุงุจุฉ ู‡ูŠูƒ ุจุชูƒูˆู†ุงู„ู†ุจุงุช ู†ูุณู‡ุŒ
212
+
213
+ 54
214
+ 00:05:56,900 --> 00:06:03,560
215
+ ุจุฌูŠุจ ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ ูˆุงู„ูู„ูƒูŠ ูˆุงู„ุฎุตุงุฆุต ุงู„ู†ุจุงุชูŠุฉุŒ ุดูˆ
216
+
217
+ 55
218
+ 00:06:03,560 --> 00:06:07,480
219
+ ุงู„ุฎุตุงุฆุต ุงู„ู†ุจุงุชูŠุฉุŸ ุจุชู‚ูˆู„ูŠ ูˆุงู„ู„ู‡ ูƒุซูŠู ูˆู„ุง ู…ุด ูƒุซูŠูุŒ
220
+
221
+ 56
222
+ 00:06:07,480 --> 00:06:11,040
223
+ ู…ุชู‚ุงุฑุจ ูˆู„ุง ู…ุชุจุงุนุฏุŒ ู…ุชุดุงุจูƒ ุงู„ุฃุบุตุงู† ูˆู„ุง ุบูŠุฑ ู…ุชุดุงุจูƒ
224
+
225
+ 57
226
+ 00:06:11,040 --> 00:06:16,520
227
+ ุงู„ุฃุบุตุงู†ุŒ ุฃู†ูˆุงุนู‡ุŒ ูู‡ู…ุชู…ุŸ ุทูŠุจุŒ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู†ุทุงู‚
228
+
229
+ 58
230
+ 00:06:16,520 --> 00:06:21,140
231
+ ุงู„ุฌุฒุฑูŠู†ูŠุŒ ุฃู†ุฏูˆู†ูŠุณุง ูˆุงู„ููŠู„ูŠุจูŠุงุŒ ุทุจ ู„ู…ุง ู†ุฌูŠ ู†ู‚ูˆู„
232
+
233
+ 59
234
+ 00:06:21,140 --> 00:06:28,620
235
+ ุงุญู†ุงูŠุนู†ูŠ ุฎู„ูŠู†ุง ู†ุดูˆู ู‡ู†ุง ู†ุนู…ู„ ู†ูุณ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ
236
+
237
+ 60
238
+ 00:06:28,620 --> 00:06:33,960
239
+ ู‡ูŠููŠุฏู†ุงุŒ ู‡ุงูŠ ุฎุท ุงู„ุงุณุชูˆุงุกุŒ ู‡ุงูŠ ุงู„ูู„ูƒูŠุŒ ุฎู…ุณุฉ ุดู…ุงู„ุง
240
+
241
+ 61
242
+ 00:06:33,960 --> 00:06:38,580
243
+ ูˆุฎู…ุณุฉ ุฌู†ูˆุจุงุŒ ู‡ุฐุง ุงู„ุฃู‚ู„ูŠู… ุงู„ุงุณุชูˆุงุฆูŠ ุณูˆุงุก ูƒุงู† ู…ู†ุงุฎูŠุง
244
+
245
+ 62
246
+ 00:06:38,580 --> 00:06:46,900
247
+ ุฃูˆ ุงู„ุฎุตุงุฆุต ุงู„ู†ุจุงุชูŠุฉ ู†ุจุงุชุงุช ูƒุซูŠูุฉุŒ ู„ูŠู‡ุŸ ุฃู…ุทุงุฑ ุบุฒูŠุฑุฉ
248
+
249
+ 63
250
+ 00:06:46,900 --> 00:06:52,830
251
+ ุทูˆุงู„ ุงู„ุนุงู…ุŒ ุญุฑุงุฑุฉ ุนุงู„ูŠุฉูˆุจุงู„ุชุงู„ูŠ ุจู†ู„ุงู‚ูŠ ุงู„ู†ุจุงุชุงุช
252
+
253
+ 64
254
+ 00:06:52,830 --> 00:06:58,150
255
+ ู‡ู†ุง ุชุฒุฏุงุฏูˆุง ูƒุซุงูุฉ ูˆุชุฒุฏุงุฏูˆุง ุชุดุงุจูƒุฉ ูˆุชุฒุฏุงุฏูˆุง ุทูˆู„ุฉ
256
+
257
+ 65
258
+ 00:06:58,150 --> 00:07:03,950
259
+ ู„ุฏุฑุฌุฉ ุงู†ู‡ ูŠุทู„ู‚ ุนู„ู‰ ุงู„ุบุงุจุฉ ุงู„ุงุณุชูˆุงุฆูŠุฉ ุจุงู„ุบุงุจุฉ
260
+
261
+ 66
262
+ 00:07:03,950 --> 00:07:11,750
263
+ ุงู„ู…ุธู„ู…ุฉ ู„ุนุฏู… ุชูˆุบู„ ุงู„ุถูˆุก ุงู„ูŠู‡ุง ูุชู†ุชุดุฑ ููŠู‡ุง ุงู„ู†ุจุงุชุงุช
264
+
265
+ 67
266
+ 00:07:11,750 --> 00:07:20,390
267
+ ุงู„ู…ุชุณู„ู‚ุฉ ู„ูŠุดุŸ ุนุดุงู† ุชุทู„ุน ู„ุถูˆุก ุงู„ุดู…ุณ ู„ุถูˆุก ุงู„ุดู…ุณ ู†ุนู…ูˆ
268
+
269
+ 68
270
+ 00:07:20,390 --> 00:07:24,630
271
+ ุฃูŠู‡ุŸ ุฃู…ุทุงุฑ ุทูˆู„ ุงู„ุนุงู… ูˆ ุญุฑุงุฑุฉ ุทูˆู„ ุงู„ุนุงู… Yes ูู…ู…ูƒู†
272
+
273
+ 69
274
+ 00:07:24,630 --> 00:07:30,530
275
+ ุชูุณุฑู„ูŠ ูƒูŠู ุชุตูŠุฑ ุฃู…ุทุงุฑ ูˆ ุชูุณุฑ ุงู„ุญุงู„ ู†ุฌู„ุฉ ุชู„ุงุชุฉ ูˆ
276
+
277
+ 70
278
+ 00:07:30,530 --> 00:07:33,910
279
+ ุนุดุฑ ูˆ ู†ุต ู‡ู†ุงุŒ ุดูˆ ู‡ูˆ ุชู„ุงุชุฉ ูˆ ุนุดุฑ ูˆ ู†ุตุŸ ุฃู†ุชูŠ ุงู„ู„ูŠ
280
+
281
+ 71
282
+ 00:07:33,910 --> 00:07:38,430
283
+ ุณุฃู„ุชูŠ ุณู„ุทุงู†ุŒ ู…ุฏุงุฑ ุงู„ุณู„ุทุงู† ุชู„ุงุชุฉ ูˆ ุนุดุฑ ูˆ ู†ุต ูŠุง
284
+
285
+ 72
286
+ 00:07:38,430 --> 00:07:41,250
287
+ ู…ุงู†ุงุŒ ุดูˆ ู‡ูˆุŸ ู…ุฏุงุฑ ุงู„ุณู„ุทุงู†
288
+
289
+ 73
290
+ 00:07:53,940 --> 00:07:57,140
291
+ ุงู„ุดู…ุณ ู„ู…ุง ุจุฏู‡ุง ุชู†ุฒู„ ุนู„ู‰ ุงู„ู…ุฏุงุฑ ุงู„ุฌุงุฐุจูŠ ู„ุงุฒู… ุชู…ุฑ
292
+
293
+ 74
294
+ 00:07:57,140 --> 00:08:02,040
295
+ ูˆูŠู† ูˆ ู„ุงุฒู… ุชุทู„ุน ุนู„ู‰ ุงู„ู…ุฏุงุฑ ุงู„ุณู„ุทุงู† ู„ุงุฒู… ุชู…ุฑ ูˆูŠู†ุŒ
296
+
297
+ 75
298
+ 00:08:02,040 --> 00:08:08,300
299
+ ุฅุฐุง ุงู„ุญุฑุงุฑุฉ ุจูŠู† ุงู„ู…ุฏุงุฑูŠู† ุนู„ู‰ ู…ุฏุงุฑ ุงู„ุนู† ู…ุฑุชูุนุฉ ูƒู…ุงู†
300
+
301
+ 76
302
+ 00:08:08,300 --> 00:08:09,880
303
+ ุงู„ุดู…ุณ ูŠุง ุฃุณุชุงุฐ ุจุชูƒูˆู† ุนู…ูˆุฏูŠุฉุŸ
304
+
305
+ 77
306
+ 00:08:26,530 --> 00:08:31,410
307
+ ุงู„ุฎุฑูŠู ูˆุงู„ุฑุจูŠุนุŒ ุงู„ุฎุฑูŠู ูˆุงู„ุฑุจูŠุน
308
+
309
+ 78
310
+ 00:08:45,350 --> 00:08:50,890
311
+ ูˆุงู„ุญุฑุงุฑุฉ ู…ุฑุชูุนุฉ ุฅุฐุง ุงุชุนุฑุถ ุฅู„ู‰ ุชุณุฎูŠู† ู‡ูˆุงุฆูŠ ุซู… ุชู…ุฏุฏ
312
+
313
+ 79
314
+ 00:08:50,890 --> 00:08:55,870
315
+ ุซู… ุฎู ูˆุฒู†ู‡ ุซู… ุตุนูˆุฏ ุฅู„ู‰ ุฃุนู„ู‰ ูŠุชูƒุงุซู ูˆูŠุณู‚ุท ุงู„ุฃู†ุทุงุฑ
316
+
317
+ 80
318
+ 00:08:55,870 --> 00:08:59,490
319
+ ุฎู„ุงู„ู‡ ุฅุฐุง ู…ุนู†ู‰ ุงู„ู†ุจุงุช ุงู„ู„ูŠ ูŠุธู„ ุนู„ู‰ ู…ุฏุงุฑ ุงู„ุนุงู„ู…
320
+
321
+ 81
322
+ 00:08:59,490 --> 00:09:04,350
323
+ ูŠู†ู…ูˆ ุงุญู†ุง ู…ุง ู†ุดูˆู ููŠ ุจุฏุงูŠุฉ ุงู„ุฑุจูŠุน ูŠุนู†ูŠ ุจุฏุงูŠุฉ
324
+
325
+ 82
326
+ 00:09:04,350 --> 00:09:10,470
327
+ ุงุฑุชูุงุน ุงู„ุญุฑุงุฑุฉ ุชูƒุณูˆุง ุงู„ู†ุจุงุชุงุช ุฎุถุฑุฉ ุฌุฏูŠุฏุฉ
328
+
329
+ 83
330
+ 00:09:12,300 --> 00:09:18,600
331
+ ุฎุถุฑุฉ ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ู…ูˆ ุงู„ุฎุถุฑูŠ ุงู„ุญุฏูŠุซ ุฃุณุชุงุฐุŸ ู†ุนู…
332
+
333
+ 84
334
+ 00:09:18,600 --> 00:09:21,520
335
+ ุงู„ุฃู…ุทุงุฑ ุงู„ู„ูŠ ููŠ ุงู„ู…ู†ุงุทู‚ ุงู„ุงุณุชุจุงู‚ูŠุฉ ู‡ูŠ ุฃู…ุทุงุฑ
336
+
337
+ 85
338
+ 00:09:21,520 --> 00:09:25,980
339
+ ุชุณุนุงุฏูŠุฉ ุทุจ ุงู„ุฃู…ุทุงุฑ ุงู„ุชุณุนุงุฏูŠุฉ ู‡ูŠ ู†ูุณู‡ุง ุงู„ุฅู†ู‚ู„ุงุจูŠุฉุŸ
340
+
341
+ 86
342
+ 00:09:25,980 --> 00:09:30,180
343
+ ู‡ูŠ ู†ูุณู‡ุง ุงู„ุฅู†ู‚ู„ุงุจูŠุฉ ู„ุฅู†ู‡ุง ุชู†ู‚ู„ุจ ุจุนุฏ ู…ุง ุชุตุนุฏ ุฅู„ู‰
344
+
345
+ 87
346
+ 00:09:30,180 --> 00:09:37,660
347
+ ุฃุณูู„ ุจู†ูุณู‡ุง ุงู„ุญุงู„ูŠุฉุŸ ู…ุงููŠุฏุงุด
348
+
349
+ 88
350
+ 00:09:37,660 --> 00:09:39,100
351
+ ู…ู„ุนู‚ุฉ ู…ุญุฏุฏุฉ ุฅู„ุง ุฅุฐุง ูƒุงู†
352
+
353
+ 89
354
+ 00:10:03,040 --> 00:10:08,340
355
+ ุงู„ุบุงุจุฉ ูŠุนู†ูŠ ู…ุชุนุฏุฏุฉ ุงู„ุฃู†ูˆุงุน ุงู„ู†ุจุงุชูŠุฉ
356
+
357
+ 90
358
+ 00:10:19,330 --> 00:10:24,510
359
+ ุงู„ู…ู‡ูˆุจู†ูŠ ู„ุจู†ูˆุณ ุงู„ู…ุทุงุฑ ุงู„ูƒูŠูƒุงูˆู ุงู„ู…ูˆุฒ ุงู„ู…ุงู†ุฌูˆ ุฃุดุฌุงุฑ
360
+
361
+ 91
362
+ 00:10:24,510 --> 00:10:31,430
363
+ ุงู„ุบุงุจุงุช ุงู„ุฃุณุชูˆุงุฆูŠ ุชุชู…ูŠุฒ ุจุตู„ุงุจุฉ ุฃุฎุดุงุจู‡ุง ู†ุนู… ุงุณุชุงุฐุŒ
364
+
365
+ 92
366
+ 00:10:31,430 --> 00:10:35,990
367
+ ุฅูŠุด ู‡ูˆ ุงู„ู…ู‡ูˆุจู†ูŠุŸ ุงู„ู…ู‡ูˆุจู†ูŠ ู†ุจุงุช ูƒุจูŠุฑ ุฒูŠ ุงู„ู„ูŠ ุนู†ุฏู‡ุง
368
+
369
+ 93
370
+ 00:10:35,990 --> 00:10:41,670
371
+ ุงู„ุจู†ุบุงู„ูŠ ุฃู†ุชู…
372
+
373
+ 94
374
+ 00:10:41,670 --> 00:10:44,990
375
+ ู…ู…ูƒู† ุนู„ู‰ ุงู„ุงู†ุชุฑู†ุช ุชุญุทูˆุง ู†ุจุงุช ุงู„ู…ู‡ูˆุจู†ูŠ ู‡ุฌูŠุจู„ูƒู…
376
+
377
+ 95
378
+ 00:10:44,990 --> 00:10:50,040
379
+ ุงู„ุตูˆุฑุฉ ุชุจุนู‡ุง ูŠุนู†ูŠ ูƒุจูŠุฑ ุฒูŠ ุณุฌู„ ุงู„ุฌู…ูŠุณู…ูŠุฒุฉ ุณุฌุฉ
380
+
381
+ 96
382
+ 00:10:50,040 --> 00:10:57,980
383
+ ุงู„ุฌู…ุงู„ ุทูŠุจ ูŠุจู‚ู‰ ุฃู†ู‡ ุดูŠุก ุดูˆู ุฃู† ุงู„ุชู†ูˆุน ู‡ุฐุง ููŠ ูˆู‚ุช
384
+
385
+ 97
386
+ 00:10:57,980 --> 00:11:03,380
387
+ ุงู„ุฅุฒู‡ุงุฑ ุจูŠุฏูŠู† ุฅูŠู‡ุŸ ุฌู…ุงู„ ุฌู…ุงู„ ุฅู„ุง ุฅู† ุงู„ุฅู†ุณุงู†
388
+
389
+ 98
390
+ 00:11:03,380 --> 00:11:10,080
391
+ ุงู„ุฃูˆุฑูˆุจูŠ ุฃุฒุงู„ ู‡ุฐุง ุงู„ุฌู…ุงู„ ู„ูŠุญู„ ู…ุญู„ู‡ ุฒุฑุงุน ู‡ูˆ ู…ุญุชุงุฌุฉ
392
+
393
+ 99
394
+ 00:11:10,080 --> 00:11:14,420
395
+ ุฒูŠ ุงู„ุจู†ุช ุฒูŠ ุงู„ูƒุงูƒุงูˆ
396
+
397
+ 100
398
+ 00:11:23,770 --> 00:11:27,630
399
+ ุฒูŠุฑูˆ ู…ู† ุณุจุนูŠู† ุฃู„ู .. ุซู…ุงู†ูŠุฉ ูˆุณุจุนูŠู† ุฃู„ู ูƒูŠู„ูˆ ุฌุฑุงู…
400
+
401
+ 101
402
+ 00:11:27,630 --> 00:11:34,110
403
+ ุฑุงุจุน ุณู†ุงู†ูŠุฉ ู„ุชู„ุชุฒุงู„ุฉ ุญุฑุจ ุถุฏ ุงู„ู†ุทุงู‚ ุงู„ุฎุถุฑูŠ ุงู„ุบุงุจูŠ
404
+
405
+ 102
406
+ 00:11:34,110 --> 00:11:40,950
407
+ ููŠ ุฅูุฑูŠู‚ูŠุง ุดูˆููˆุง
408
+
409
+ 103
410
+ 00:11:40,950 --> 00:11:47,290
411
+ ุงู„ุฃู…ุฑ ุงู„ู…ุซูŠุฑ ู„ู„ูุฒุนุŒ ุฃุฎุฑ ุณู†ุฉ ู‚ุฑูŠุจุง ุฃู† ุฅู…ูƒุงู†ูŠุฉ ุณุงุนุฏุฉ
412
+
413
+ 104
414
+ 00:11:47,290 --> 00:11:50,750
415
+ ุงู„ุบุงุจุฉ ุฅู„ู‰ ู…ูƒุงู†ุฉ ุนู„ูŠู‡ ุตุนุจ ุฌุฏุง
416
+
417
+ 105
418
+ 00:11:54,250 --> 00:11:59,030
419
+ ุฃู†ุง ุจุนุฏ ู…ุง ุฃู‚ุทุน ุงู„ุบุงุจุฉ ุฑุงุญูŠ ู„ู…ุญู„ู‡ุง ุฒุฑุงุนุฉ ุฃุนูŠุฏู‡ุง
420
+
421
+ 106
422
+ 00:11:59,030 --> 00:12:05,030
423
+ ุชุงู†ูŠ ู„ุฃู†ู‡ุง ุจุฏู‡ุง ุฃู„ุงู ุงู„ุณู†ูŠู† ุจุฏ ุฃู„ุงู ุงู„ุณู†ูŠู†
424
+
425
+ 107
426
+ 00:12:05,030 --> 00:12:11,150
427
+ ูุงู„ุตุนูˆุจุฉ
428
+
429
+ 108
430
+ 00:12:11,150 --> 00:12:14,110
431
+ ูƒุงู†ุช ุดุงุจูˆู†ุฉ ู„ุฃู† ูู‚ุฏุงู†ุฉ ู‡ุฐุง ุงู„ุบุงุจุงุช ูƒุงู†ุช ูู‚ุฏุงู†ุฉ
432
+
433
+ 109
434
+ 00:12:14,110 --> 00:12:17,770
435
+ ุซุฑูˆุฉ ู†ุจุงุชูŠุฉ ูˆุงู„ุฃูŠูˆุงู†ูŠุฉ ุทุจุนุงู‹ ู„ู…ุง ุฃู†ุง ุฃุฒูŠุฏ ุงู„ุทุงู‚ุฉ
436
+
437
+ 110
438
+ 00:12:17,770 --> 00:12:23,330
439
+ ู„ู„ุบุงุจุงุช ู…ุน ู†ู‚ุตุงู† ู…ุจุงุดุฑ ู…ู† ุฅูŠู‡ุŸ ู‡ุงูŠ ุชุดูˆู ุงู„ุฎุฑูŠุทุฉ
440
+
441
+ 111
442
+ 00:12:23,330 --> 00:12:28,790
443
+ ู‡ุฐู‡ู‡ุฐู‡ ุงู„ุฎุฑูŠุทุฉ ุฅูŠุด ู‡ูŠุŸ ุงู„ู†ุจุงุช ุงู„ู†ุจุงุชุŒ ูู‡ูŠ ู…ูˆุฌูˆุฏุฉ
444
+
445
+ 112
446
+ 00:12:28,790 --> 00:12:33,090
447
+ ููŠ ุงู„ู†ุทุงู‚ ุงู„ุฌุฒุฑูŠ ู†ูุณ ุงู„ูƒู„ุงู… ุนู† ู…ู„ุงุญุธุฉ ูˆุงุญุฏ ููŠ
448
+
449
+ 113
450
+ 00:12:33,090 --> 00:12:38,730
451
+ ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ ู‡ูˆ ุงู„ู†ุทุงู‚ ุงู„ุฌุฒุฑูŠ ุฌู†ูˆุจ ู…ุงู„ูŠุณูŠุงุŒ
452
+
453
+ 114
454
+ 00:12:38,730 --> 00:12:43,370
455
+ ุฃู†ุฏูˆู„ูŠุณูŠุง ูˆุงู„ููŠู„ูŠุจูŠู† ุฃู†ุฏูˆู„ูŠุณูŠุง ุฃูŠู‡ุŸ ูˆุงู„ููŠู„ูŠุจูŠู†
456
+
457
+ 115
458
+ 00:12:43,370 --> 00:12:47,270
459
+ ู…ุฏุงู… ุฎุฑุฌุช ุนู†ุฏูŠ ุฃุฎุฏ ุงู„ุบุงุจุงุช ุงู„ู…ูˆุณู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
460
+
461
+ 116
462
+ 00:12:47,270 --> 00:12:52,870
463
+ ุงู„ู…ุฏุงุฑูŠุฉ ูŠุนู†ูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู‡ู†ุฏ ูˆููŠ ุงู„
464
+
465
+ 117
466
+ 00:12:57,700 --> 00:13:03,700
467
+ ุฌู†ูˆุจ ุงู„ุตูŠู† ุงู†ุดุงุก ุงู„ู„ู‡ ุงู„ุงู† ููŠ ุนู†ุฏูŠ ุชุบูŠุฑ ู…ู†ุงุฎูŠ
468
+
469
+ 118
470
+ 00:13:03,700 --> 00:13:09,040
471
+ ุดูˆููˆุง ุงู„ุชุบูŠุฑ ุงู„ู…ู†ุงุฎูŠ ู…ู† ุฃู…ุทุงุฑ ุทูˆุงู„ ุงู„ุนุงู… ุฅู„ู‰ ูุตู„
472
+
473
+ 119
474
+ 00:13:09,040 --> 00:13:16,260
475
+ ุฌูุงู ูุตู„ .. ู‡ุฐุง ุงู„ูุตู„ ู‡ูˆ ุฅูŠุดุŸ ุงู„ุดุชุงุก .. ุฅูŠุดุŸ ุนุดุงู†
476
+
477
+ 120
478
+ 00:13:16,260 --> 00:13:21,620
479
+ ู‡ูŠูƒ ุจู†ู„ุงู‚ูŠ ุฃู† ุงู„ุบุงุจุงุช ู‡ู†ุง ุฃู‚ู„ ูƒุซุงูุฉ ู…ู† ุงู„ุบุงุจุงุช
480
+
481
+ 121
482
+ 00:13:21,620 --> 00:13:26,480
483
+ ุงู„ุณูˆุฏุงู†ูŠุฉ .. ู„ูƒู† ู…ุด ู…ูˆุฌูˆุฏ ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุฃู‚ู„ ูƒุซุงูุฉ
484
+
485
+ 122
486
+ 00:13:26,480 --> 00:13:30,890
487
+ ู…ู† ุงู„ุบุงุจุงุช ุงู„ุณูˆุฏุงู†ูŠุฉุญุฑุงุฑุฉ ุทูˆุงู„ ุงู„ุนุงู…ุŒ ูˆ ู‡ุงู„ุญุฑุงุฑุฉ
488
+
489
+ 123
490
+ 00:13:30,890 --> 00:13:34,090
491
+ ุทูˆุงู„ ุงู„ุนุงู…ุŒ ู„ูƒู† ู‡ู†ุงูƒ ุฃู…ุทุงุฑ ุทูˆุงู„ ุงู„ุนุงู… ูˆ ู‡ุงู„ุฃู…ุทุงุฑ
492
+
493
+ 124
494
+ 00:13:34,090 --> 00:13:38,690
495
+ ุชุณุนุฉ ุดู‡ูˆุฏ ููŠ ุนู†ุฏูŠ ูุงุตุฉ ุฌูุงูุŒ ุฃู†ุง ูˆ ู‡ูˆ ุงูŠู‡ุŸ ูุงุต
496
+
497
+ 125
498
+ 00:13:38,690 --> 00:13:39,890
499
+ ุงู„ุดุชุงุก
500
+
501
+ 126
502
+ 00:13:56,420 --> 00:14:06,060
503
+ ุฃูƒุชุฑ ู…ู† ุนุดุฑูŠู† ู‚ุฏู… ูŠุนู†ูŠ ุนุดุฑูŠู† ู‚ุฏู… ูƒู… ูŠุณุงูˆูŠ ุณุจุนุฉ
504
+
505
+ 127
506
+ 00:14:06,060 --> 00:14:13,600
507
+ ู…ุชุฑ ุน ุชู„ุงุชุฉ ููŠู‡ ูŠุณุงูˆูŠ ุณุจุนุฉ ู…ุชุฑ ุณุจุนุฉ ู…ุชุฑ ูŠุนู†ูŠ ุฃูƒุชุฑ
508
+
509
+ 128
510
+ 00:14:13,600 --> 00:14:19,860
511
+ ู…ู† ุทุจู‚ูŠู† ููŠ ุนู…ุงุฑุฉ ุนู„ู‰
512
+
513
+ 129
514
+ 00:14:19,860 --> 00:14:22,760
515
+ ุงู„ุณูˆุงุญู„ ุงู„ุญุงุฑุฉ ุงู„ุทูŠู†ูŠุฉ ุงู„ุทุฑุจุฉ
516
+
517
+ 130
518
+ 00:14:26,510 --> 00:14:32,910
519
+ ุงู„ุชุฑุจุฉ ุงู„ุฑู…ู„ูŠุฉ ุชุนู…ู„ ุนู„ู‰ ุงุญุชูุงุธ ุจุฑุทูˆุจุฉ ู…ุชุทูˆู„ุŒ ูŠุนู†ูŠ
520
+
521
+ 131
522
+ 00:14:32,910 --> 00:14:35,670
523
+ ุงู„ูŠูˆู… ุงุญู†ุง ุฒุฑุงุน ููŠ ุงู„ุชุฑุจุฉ ุงู„ุฑู…ู„ูŠุฉุŒ ูƒู„ ูŠูˆู… ู†ุณุฌูŠ
524
+
525
+ 132
526
+ 00:14:35,670 --> 00:14:36,070
527
+ ู…ูŠุงู‡
528
+
529
+ 133
530
+ 00:14:54,960 --> 00:14:59,840
531
+ ููŠ ุงู„ุตูŠู†ุŒ ู„ุฃู† ุงู„ู…ู†ุงุฎ ู…ุฏุฎู„ ุฃุจุฑุฏ ุดูˆูŠุฉุŒ ูุงู„ุตุฌุฑ ุฃูุถู„
532
+
533
+ 134
534
+ 00:14:59,840 --> 00:15:05,300
535
+ ู…ู† ุงู„ู‡ู† ูู‚ุฏ ู†ุชุฌ ุนู† ุณู‡ูˆู„ุฉ ุงุฎุชุฑุงูู‡ุงุŒ ุฏูŠ ู…ุงููŠุด
536
+
537
+ 135
538
+ 00:15:05,300 --> 00:15:09,460
539
+ ุฅู…ูƒุงู†ูŠุฉ ู„ู„ุงุฎุชุฑุงูุŒ ู„ูƒู† ุฅู…ูƒุงู†ูŠุงุช ุงู„ุชูƒู†ูˆู„ูˆุฌูŠุง ุงู„ุญุฏูŠุซุฉ
540
+
541
+ 136
542
+ 00:15:09,460 --> 00:15:14,260
543
+ ุฃุฒุงู„ ุงู„ุฅู†ุณุงู† ู†ูุณู‡ ุญุงุณุณ ุนู† ู…ู† ุงู„ุบุงุจุงุช ุงู„ุณูˆูŠุณูŠุฉุŒ ู‡ูŠ
544
+
545
+ 137
546
+ 00:15:14,260 --> 00:15:18,500
547
+ ุณู‡ูˆู„ุฉ ุงุฎุชุฑุงูู‡ุงุŒ ู„ุฃู† ู‡ู†ุง ููŠ ุงุฎุชุตุงุต ููŠ ุงู„ู†ุจุงุชุงุช
548
+
549
+ 138
550
+ 00:15:20,330 --> 00:15:23,730
551
+ ุฃุณุฃู„ู‡ุง ุงู„ุฅู†ุณุงู† ู‡ูˆ ุญู„ ู…ุญู„ุฉ ุฒุฑุงุนุฉ ู…ุฏุงุฑูŠุฉุŒ ุญู„ ุฒุฑุงุน
552
+
553
+ 139
554
+ 00:15:23,730 --> 00:15:27,330
555
+ ุฃูŠู‡ุŸ ู…ุฏุงุฑูŠุฉุŒ ูููŠ ุงู„ุตูŠู† ู…ุซู„ุงุŒ ู„ุฃ
556
+
557
+ 140
558
+ 00:15:29,680 --> 00:15:33,640
559
+ ุงู„ุฐู†ุจ ุนู„ู‰ ู‡ุฐุง ุฃู†ู‡ ููŠ ุฃู†ู‡ุงุฑ ุฒูŠ ุดูู†ุง ุงู„ุฌู†ุฏ ูˆุงู„ุณู†ุฏ
560
+
561
+ 141
562
+ 00:15:33,640 --> 00:15:41,480
563
+ ูˆุงู„ุจุฑุงู‡ู…ุงุชุฑุง ู‡ุฏูˆู„ุฉ ุณู‡ู„ูˆุง ุนู…ู„ูŠุฉ ุงุฎุชุฑุงู‚ ุงู„ุบุงุจุฉ ูˆู‚ุทุน
564
+
565
+ 142
566
+ 00:15:41,480 --> 00:15:47,520
567
+ ุฃุดุฌุงุฑู‡ุง ูˆุฑู…ูŠ ุงู„ุฃุฎุดุงุจ ููŠ ุงู„ู†ู‡ุฑุŒ ูˆุงู„ู†ู‡ุฑ ู…ุง ุนู„ูŠู‡ ุฅู„ุง
568
+
569
+ 143
570
+ 00:15:47,520 --> 00:15:52,700
571
+ ูŠู†ู‚ู„ ู‡ุฐู‡ ุงู„ุฃุฎุดุงุจ ุฅู„ู‰ ู…ู†ุงุทู‚ ุงู„ุชุตู†ูŠุน ูˆุงู„ุชุตุฏูŠู‚
572
+
573
+ 144
574
+ 00:15:54,080 --> 00:15:58,720
575
+ ุนุดุงู† ู‡ูŠูƒ ุจู†ู„ุงู‚ูŠ ุงู† ุงุณุชุบู„ุงู„ ุงู„ุบุงุจุงุช ุงู„ู…ูˆุณู…ูŠุฉ ุฃุณู‡ู„
576
+
577
+ 145
578
+ 00:15:58,720 --> 00:16:07,720
579
+ ู…ู† ุงุณุชุบู„ุงู„ ุงู„ุบุงุจุงุช ุงู„ุงุณุชูˆุงู‡ูŠุฉ ุบุงุจุงุช
580
+
581
+ 146
582
+ 00:16:07,720 --> 00:16:13,540
583
+ ุงู„ุจุญุฑ ุงู„ู…ุชูˆุณุทุŒ ุบุงุจุงุช ุงู„ุจุญุฑุŒ ู†ุฑุฌุน ู„ู„ุฎุฑูŠุทุฉุŒ ุชุดูˆู ูˆูŠู†
584
+
585
+ 147
586
+ 00:16:13,540 --> 00:16:18,520
587
+ ุงู„ุจุญุฑ ุงู„ู…ุชูˆุณุทุŒ ููŠ ุดุฑูŠุท ุถูŠู‚ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชู„ุชุงุช ู‡ู†ุงุŒ
588
+
589
+ 148
590
+ 00:16:18,520 --> 00:16:26,790
591
+ ู‡ุงูŠ ุจู„ุงุฏ ุงู„ุดุงู…ูˆ ุฅูŠุด ู‡ุฐุง ุงู„ู„ูŠ ุญูˆุงู„ูŠ ุงู„ mouseุŸ ู‡ุฐุง
592
+
593
+ 149
594
+ 00:16:26,790 --> 00:16:31,830
595
+ ุจูŠุช ุงู„ุงู†ุงุถูˆู†ุŒ ู‡ุฐุง ุจูŠุช ุงู„ุงู†ุงุถูˆู†ุŒ
596
+
597
+ 150
598
+ 00:16:31,830 --> 00:16:34,450
599
+ ูŠุนู†ูŠ ุจุณ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ุบุงุจุงุชุŒ ุจุญุฑ
600
+
601
+ 151
602
+ 00:16:34,450 --> 00:16:41,860
603
+ ู…ุชูˆุณุทุŒ ูู‡ู…ุชูˆุงุŸุทูŠุจ ุฎู„ู‘ูŠู†ุง ููŠ ู†ูุณ ุฏูˆุงุฆุฑ ุงู„ุนุงุฑุถ ุงู„ู„ูŠ
604
+
605
+ 152
606
+ 00:16:41,860 --> 00:16:44,980
607
+ ู‡ูŠ ุงู„ุบุงุจุงุช ุงู„ู…ุนุชุงุฏู„ุฉ ุฎู„ู‘ูŠู†ูŠ ุฃุทู„ู‚ ุนู„ูŠู‡ุงุŒ ุงู„ุบุงุจุงุช
608
+
609
+ 153
610
+ 00:16:44,980 --> 00:16:50,600
611
+ ุงู„ู…ุนุชุงุฏู„ุฉ ู…ู‚ุณู…ุฉ ู„ู‚ุณู…ูŠู†ุŒ ุจุญุฑ ู…ุชูˆุณุท ููŠ ุงู„ุบุฑุจ ูˆุตูŠู†ูŠ
612
+
613
+ 154
614
+ 00:16:50,600 --> 00:16:54,400
615
+ ููŠ ุงู„ุดุฑู‚ุŒ ู„ูƒู† ุชุนุงู„ู‰ ู†ุดูˆู ุงู„ุตูŠู†ูŠ ู†ูุณ ุงู„ุฏูˆุงุฆุฑุŒ
616
+
617
+ 155
618
+ 00:16:54,400 --> 00:17:02,820
619
+ ุฎู„ู‘ูŠู†ูŠ ุฃุฌูู‡ุงุŒ ุดูˆู ุงู„ุตูŠู†ูŠ ู‡ุงูŠุŒ ู‡ุงูŠ ุงู„ุตูŠู†ุŒ ุดุงูŠููŠู†
620
+
621
+ 156
622
+ 00:17:02,820 --> 00:17:12,400
623
+ ุงู„ุตูŠู†ุŸ ู‡ุงูŠ ุงู„ุตูŠู†ู…ุณุงุญุฉ ุฃูƒุจุฑุŒ ู…ุณุงุญุฉ ุฅูŠู‡ุŸ ุฃูƒุจุฑุŒ ุทุจ
624
+
625
+ 157
626
+ 00:17:12,400 --> 00:17:18,180
627
+ ู„ูŠุด ุฃูƒุจุฑุŸ ุฎู„ู‘ูŠู†ูŠ ุฃุดูˆูุŒ ู‡ู„ุฌูŠุช ู…ู…ูƒู† ุงู„ุขู† ู…ู† ุฎู„ุงู„
628
+
629
+ 158
630
+ 00:17:18,180 --> 00:17:22,420
631
+ ุงู„ุฃุดุฌุงุฑ ููŠ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ุฃุตู ู†ุจุงุชุงุช ุงู„ุจุญุฑ
632
+
633
+ 159
634
+ 00:17:22,420 --> 00:17:28,880
635
+ ุงู„ู…ุชูˆุณุท ุงู„ุบุงุจูŠุฉุŒ ุตุญุŸ ู„ูƒู† ุงู„ู†ุธุฑ ุฅู„ู‰ ูู„ุณุทูŠู† ุนู„ู‰ ุณุจูŠู„
636
+
637
+ 160
638
+ 00:17:28,880 --> 00:17:32,780
639
+ ุงู„ู…ุซุงู„ุŒ ู…ุด ู‡ูŠู„ุงู‚ูŠ ุบุงุจุงุช ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุฒูŠ ู…ุง ุดูู†ุง ุชูˆ
640
+
641
+ 161
642
+ 00:17:32,780 --> 00:17:42,480
643
+ ููŠ ุงู„ุฎุฑูŠุทุฉุŒ ู„ูŠุดุŸู„ุฃู† ุฃูˆู„ุง ูˆุฌูˆุฏ ูุตู„ ุฌูุงู ุทูˆูŠู„ุŒ ูˆู‡ุฐุง
644
+
645
+ 162
646
+ 00:17:42,480 --> 00:17:49,180
647
+ ุงู„ูุตู„ ุงู„ุทูˆูŠู„ ูŠุชู…ุญูˆุฑ ูˆูŠู†ุŸ ููŠ ุงู„ุตูŠูุŒ ูˆู…ู† ุฎุตุงุฆุต ุงู„ุตูŠู
648
+
649
+ 163
650
+ 00:17:49,180 --> 00:17:55,380
651
+ ุงุฑุชูุงุน ุฏุฑุฌ ุงู„ุญุฑุงุฑุฉุŒ ุงุฑุชูุงุน ู…ุนุฏู„ุงุช ุงู„ุชุจุฎุฑุŒ ุญุงุฌุฉ
652
+
653
+ 164
654
+ 00:17:55,380 --> 00:18:01,640
655
+ ุงู„ูƒุงุฆู†ุงุช ุงู„ุญูŠุฉ ุฅู„ู‰ ุงู„ู…ุงุกุŒ ูˆู…ุง ุจู†ู„ุงู‚ูŠุด ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ
656
+
657
+ 165
658
+ 00:18:01,640 --> 00:18:07,750
659
+ ู…ุง ุจู†ู„ุงู‚ูŠุด ู…ูŠุงู‡ู…ุน ูˆุฌูˆุฏ ุญุฑุงุฑุฉ ุนุงู„ูŠุฉ ูˆุชุจุฎุฑ ุนุงู„ูŠุŒ ุฅูŠุด
660
+
661
+ 166
662
+ 00:18:07,750 --> 00:18:13,430
663
+ ุจูŠุตูŠุฑ ู„ู„ู†ุจุงุชุŸ ูŠุฏู…ุฑุŒ ูŠุฏู…ุฑ ูˆูŠู‚ู„ุŒ ุนุดุงู† ู‡ูŠูƒ ู„ู…ุง ุฃู†ู‚ุฏูŠ
664
+
665
+ 167
666
+ 00:18:13,430 --> 00:18:19,170
667
+ ุฃู‚ุงุฑู† ุจูŠู† ุงู„ู…ู†ุทู‚ุชูŠู† ุงู„ุบุงุจูŠุชูŠู† ููŠ ู†ูุณ ุฏูˆุงุฆุฑ ุงู„ุนุฑุถุŒ
668
+
669
+ 168
670
+ 00:18:19,170 --> 00:18:23,170
671
+ ุชู„ุงุชูŠู† ู„ุงุฑุจุนูŠู†ุŒ ุจู„ุงู‚ูŠ ุฃู† ุงู„ู†ุทุงู‚ ุงู„ุบุงุจูŠ ููŠ ุดุฑู‚
672
+
673
+ 169
674
+ 00:18:23,170 --> 00:18:29,510
675
+ ุงู„ุฏูˆุงุฆุฑ ุฃูƒุซุฑ ูˆุฃูƒุซุฑ ู…ู† .. ุฑุบู… ูˆุฌูˆุฏ ู†ูุณ ุงู„ู†ูˆุนุŒ
676
+
677
+ 170
678
+ 00:18:29,510 --> 00:18:34,670
679
+ ุงู„ุจู„ูˆุช ูˆุงู„ูู„ูŠู† ูˆุงู„ุฒูŠุชูˆู† ูˆุงู„ุฃุฑุฒ ุงู„ุฃุฎุฑู‰ู„ูŠุดุŸ ู„ุฃู† ููŠ
680
+
681
+ 171
682
+ 00:18:34,670 --> 00:18:41,070
683
+ ุดุฑู‚ ุงู„ู…๏ฟฝ๏ฟฝูˆุณุท ุงู„ู„ูŠ ุฏูˆุงุฑ ุงู„ุนุฑุถ ุฃู…ุทุงุฑ ุตูŠููŠุฉ ุจู„ ุทูˆุงู„
684
+
685
+ 172
686
+ 00:18:41,070 --> 00:18:47,150
687
+ ุงู„ุนุงู…ุŒ ู…ุงุดูŠุŸ ุงู„ุฌูˆ ุฃูƒุชุฑ ุงุนุชุฏุงู„ุง ูˆุจุงู„ุชุงู„ูŠ ููŠ ุงู„ูˆู‚ุช
688
+
689
+ 173
690
+ 00:18:47,150 --> 00:18:50,610
691
+ ุงู„ู„ูŠ ูŠุญุชุงุฌ ููŠู‡ ุงู„ู†ุจุงุช ููŠ ุงู„ุตูŠู† ุฅู„ู‰ ุงู„ู…ุงุก ููŠ ูุต
692
+
693
+ 174
694
+ 00:18:50,610 --> 00:18:58,550
695
+ ุงู„ุตูŠู ุดูˆู‡ ูŠุฌุฏ ุงู„ุฃู…ุทุงุฑ ุณุงู‚ุทุฉ ุนู„ูŠู‡ุŒ ูู‡ู…ุชูˆุงุŸ ุนุดุงู†
696
+
697
+ 175
698
+ 00:18:58,550 --> 00:19:02,130
699
+ ู‡ูŠูƒุŒ ุญุงุฌุชูŠู†ุŒ ู„ูˆ ุฌุงู†ูŠ ุณุคุงู„ูŠู† ููŠ ุงู„ุงู…ุชุญุงู†
700
+
701
+ 176
702
+ 00:19:05,490 --> 00:19:12,430
703
+ ุจู…ุงุฐุง ู†ูุณู‡ุŸ ุบุงุจุงุช ุดุฑู‚ ุฏูˆุงุฆุฑ ุงู„ุนุฑุถ ุชู„ุงุชูŠู† ู„ุงุฑุจุนูŠู†
704
+
705
+ 177
706
+ 00:19:12,430 --> 00:19:22,230
707
+ ุฃูƒุซุฑ ู…ู† ุบุงุจุงุช ุบุฑุจ ุงู„ุฏูˆุงุฆุฑ ูˆูุตู„
708
+
709
+ 178
710
+ 00:19:22,230 --> 00:19:27,490
711
+ ุฌูุงู ุงู„ุตูŠู ูˆ ู‡ู†ุงูƒ ูุตู„ ุฃู…ุทุงุฑ ููŠ ุงู„ุตูŠู ูู‡ู…ุชูˆุงุŸ ุณุคุงู„
712
+
713
+ 179
714
+ 00:19:27,490 --> 00:19:34,280
715
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ููŠ ุงู„ู…ู†ุงุฎ ุดูˆ ุฌูˆุงุจู‡ุŸูˆู„ู‘ุง ุณู†ุฉ ู†ุญูƒูŠ
716
+
717
+ 180
718
+ 00:19:34,280 --> 00:19:41,180
719
+ ูˆุจุงู„ุชุงู„ูŠ
720
+
721
+ 181
722
+ 00:19:41,180 --> 00:19:45,440
723
+ ู…ุฏุงู… ุงู„ู†ุจุงุช ููŠ ุงู„ูˆู‚ุช ุงู„ู„ูŠ ุจุญุชุงุฌ ููŠู‡ ู„ู„ู…ุงุก ูŠุฌุฏู‡ ููŠ
724
+
725
+ 182
726
+ 00:19:45,440 --> 00:19:49,440
727
+ ุงู„ุฃู…ุทุงุฑ ุฎู„ุงุต ู…ุงููŠ ู…ุดูƒู„ุฉ ุนู†ุฏู‡ ูุจู†ู„ุงู‚ูŠ ุญุฌู…ู‡ ุฃูƒุจุฑ
728
+
729
+ 183
730
+ 00:19:49,440 --> 00:19:57,020
731
+ ูˆูƒุซูุชู‡ ุฃูƒุชุฑ ุฑุบู… ูˆุฌูˆุฏ ู†ูุณ ุงู„ู†ูˆุน ูŠุง ุจู†ุงุช ู‡ุฌูŠุช ุงุญู†ุง
732
+
733
+ 184
734
+ 00:19:57,020 --> 00:20:02,230
735
+ ููŠ ุงู„ู†ุงุญูŠุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉู„ู…ุง ู†ุฌุจ ุฃุญุฏ ุฃูุฑุงุฏ ุงู„ุฃุณุฑุฉ very
736
+
737
+ 185
738
+ 00:20:02,230 --> 00:20:07,230
739
+ very fat ุดูˆ ุจู†ู‚ูˆู„ุŸ ู†ุงูŠู… ููŠ ุงู„ู…ุทุจุฎ ูˆู„ุง ู„ุงุŸ ู„ุฃู†ู‡
740
+
741
+ 186
742
+ 00:20:07,230 --> 00:20:13,090
743
+ ุจูŠุฃูƒู„ ูƒุชูŠุฑ ู†ูุณ ุงู„ู†ุจุงุช ุจุงู„ุธุจุท ุฒูŠ ุงู„ุฅู†ุณุงู† ุงู†ุชุจู‡ูˆุง
744
+
745
+ 187
746
+ 00:20:13,090 --> 00:20:20,610
747
+ ุนูˆุงู…ู„ ุนู„ู…ุงุก ุงู„ุชุฎุฏูŠุฉ ุจูŠู‚ูˆู„ูˆุง ู‡ู†ุงูƒ ู…ูƒูˆู†ุงุช ุบุฏุงุฆูŠุฉ
748
+
749
+ 188
750
+ 00:20:20,610 --> 00:20:26,650
751
+ ู„ุงุฒู… ุงู„ุฅู†ุณุงู† ูˆุงู„ู†ุจุงุช ูˆุงู„ุญูŠูˆุงู† ูŠุงูƒู„ู‡ุง ููŠ ุงู„ุฒู…ู†
752
+
753
+ 189
754
+ 00:20:26,650 --> 00:20:34,120
755
+ ุงู„ุนู…ุฑูŠ ุฅู„ุงุญุชู‰ ู„ูˆ ุงู‚ู„ู‡ุง ููŠู‡ ู…ุงุจุนุฏ ู…ุงุจุชุฌูŠุจุด ู†ุชุงุฆุฌ ุฒูŠ
756
+
757
+ 190
758
+ 00:20:34,120 --> 00:20:40,730
759
+ ู…ุง ุงู†ุชูˆุง ุนุงุฑููŠู† ุจุฏุง ูŠู…ุดูŠ ุงู„ูˆู„ุฏ ุจุฏู‡ ุจูŠุถุงุจุฏุง ูŠุชูƒู„ู…
760
+
761
+ 191
762
+ 00:20:40,730 --> 00:20:45,770
763
+ ุจุฏู‡ ู…ูˆุฒุŒ ู„ุฃู† ุงู„ู…ูˆุฒ ุบู†ูŠ ุฌุฏุง ุจุงู„ูุณูุงุฑุŒ ูˆุงู„ูุณูุงุฑ ุจุฒูŠุฏ
764
+
765
+ 192
766
+ 00:20:45,770 --> 00:20:50,550
767
+ ุงู„ุฐูƒุงุกุŒ ูู‡ู…ุชูˆุงุŸ ูˆุงู† ุฏู‡ ุจุณ ูƒุฏู‡ุŒ ู…ู„ุงู‚ู‰ ู…ู‚ูˆู…ุงุช ู†ู…ูˆ
768
+
769
+ 193
770
+ 00:20:50,550 --> 00:20:56,270
771
+ ูƒู…ุง ูŠุฑูŠุฏ ูŠู†ู…ูˆุŒ ูŠูƒุจุฑ ูˆูŠุตูŠุฑ ุญุฌู…ู‡ ูƒุจูŠุฑุŒ ู…ุงุจู„ุงู‚ูŠุด ุทุจุนุง
772
+
773
+ 194
774
+ 00:20:56,270 --> 00:21:00,310
775
+ ุญูŠุงุฉ ู…ุฑ ูˆูŠู‚ู„ ูˆุฅู„ู‰ ุขุฎุฑุŒ ูˆุงู„ุฅู†ุณุงู† ุฅุฐุง ู…ุงู„ุงู‚ุงุด ุฃูƒู„
776
+
777
+ 195
778
+ 00:21:00,310 --> 00:21:06,410
779
+ ูŠุตุงุจ ุจุงู„ูŠู† ุนุธุงู…ู‡ุŒ ูˆู„ูŠุด ููŠู‡ ุนูŠุงู„ ุงู„ุฅู†ุณุงู†ุŸู„ุฃู†ู‡ ู†ู‚ุต
780
+
781
+ 196
782
+ 00:21:06,410 --> 00:21:11,150
783
+ ุงู„ู…ู†ุงุนุฉ ุงู„ู„ู‰ ู…ุชุนู„ู‚ ุจุงู„ู…ุฑุถ ู…ุด ุนู†ุฏู‡ ููŠุตุงุจู‡ ุงุชุฌุฑุณู‡
784
+
785
+ 197
786
+ 00:21:11,150 --> 00:21:17,550
787
+ ููˆุฑุง ุงู…ุง ุงู„ู„ู‰ ุจูŠุงูƒู„ ุตุญ ุจุนูŠุงุณ ู‡ุชุฌูˆู† ุจุนูŠุงุณ .. ุจุนูŠุงุณ
788
+
789
+ 198
790
+ 00:21:17,550 --> 00:21:23,210
791
+ ูˆ ุงู„ู„ู‰ ุจุนูŠุงุณ ูƒู…ุงู† ู„ุงุฒู… ูŠุณู…ุนูˆู† ุงู„ู…ุดุงูƒู„ ูˆู…ูˆุชุดุฅู„ุง ุฅุฐุง
792
+
793
+ 199
794
+ 00:21:23,210 --> 00:21:28,770
795
+ ูƒุงู† ู…ูˆุชู‡ ุดุทุฑ ุจุทุฑุŒ ุฅูŠุด ุญูƒุงูŠุฉ ุดุทุฑ ุจุทุฑุŸ ูˆุงุญุฏ ูู„ุงุญุŒ
796
+
797
+ 200
798
+ 00:21:28,770 --> 00:21:32,130
799
+ ุฎู„ุจุงู†ุŒ ูู‚ูŠุฑุŒ ุดุญุงู„ุŒ ุจูŠุฌูŠ ู„ู„ุบู†ูŠ ูƒู„ ูŠูˆู… ุจูŠุงุฎุฏ ู…ู†ู‡
800
+
801
+ 201
802
+ 00:21:32,130 --> 00:21:37,750
803
+ ุฅูŠู‡ุŸ ุตุฏู‚ุฉุŒ ูŠูˆู… ุฅูŠุฌูŠ ูŠุงุฎุฏ ุงู„ุตุฏู‚ุฉ ู„ู‚ุงู…ูŠู‡ุŒ ุงุณุชุบุฑุจุŒ
804
+
805
+ 202
806
+ 00:21:37,750 --> 00:21:43,570
807
+ ู„ูŠุด ูŠู…ูˆุช ู‡ุฐุงุŸ ู‡ุฐุง ูƒู„ ุฅูŠุด ุนู†ุฏู‡ู…ุŸ ูƒู„ ุฅูŠุด ุนู†ุฏู‡ู…ุŸ ูŠุนู†ูŠ
808
+
809
+ 203
810
+ 00:21:43,570 --> 00:21:48,350
811
+ ุญูŠุงุชู‡ู… ุจุบุฏุฉ ุฏู‡ู‚ุงู„ ู„ู‡ ูˆุงู„ู„ู‡ ู…ูˆุชูƒ ุดุทุฑ ุจุทุฑุŒ ูŠุนู†ูŠ ุฃู†ุง
812
+
813
+ 204
814
+ 00:21:48,350 --> 00:21:51,730
815
+ ู…ุด ู‡ูู„ุงู‚ูŠ ุญุงุฌุฉ ุชุดูˆูู‡ุง ููŠ ุงู„ุญูŠุงุฉ ุฅู„ุง ุฃู†ูƒ ุงุชุฌุฑุจ
816
+
817
+ 205
818
+ 00:21:51,730 --> 00:21:55,410
819
+ ุงู„ู…ูˆุชุŒ ุทุจุนุง ุจูŠุนุฑูุด ู‡ุฏููƒ ุชู…ุงู…ุŒ ูุงู‡ู…ู†ุงุŸ ู†ุดูˆู ุงู„ุบุงุจุงุช
820
+
821
+ 206
822
+ 00:21:55,410 --> 00:22:02,710
823
+ ุงู„ู…ุชูˆุณุทูŠู† ุณุคุงู„ ุงู„ุชุงู†ูŠุŒ ูƒูˆูŠุณ ุงู„ู„ูŠ ุงู†ุชูˆุง ุตุญูŠุงุชุŒ
824
+
825
+ 207
826
+ 00:22:02,710 --> 00:22:11,170
827
+ ุงู„ุญู…ุฏ ู„ู„ู‡ุŒ ููŠุจุฏุง ู†ูุณุฑ ุณู‚ูˆุท ุงู„ุฃู…ุทุงุฑ ุนู„ู‰ ุดุฑู‚ ุงู„ุฏูˆุงุฆุฑ
828
+
829
+ 208
830
+ 00:22:11,170 --> 00:22:12,210
831
+ ุชู„ุงุชูŠู† ูˆุงุฑุจุนูŠู†
832
+
833
+ 209
834
+ 00:22:15,080 --> 00:22:18,520
835
+ ูŠุฎุชู„ู ุนู† ุณู‚ูˆุท ุงู„ุฃู…ุทุงุฑ ุนู„ู‰ ุบุฑุจ ุงู„ุฏูˆุงุฑ ุชู„ุงุชูŠู†
836
+
837
+ 210
838
+ 00:22:18,520 --> 00:22:26,980
839
+ ู„ุฃุฑุจุนูŠู† ุจุฏู†ุงุด
840
+
841
+ 211
842
+ 00:22:26,980 --> 00:22:33,620
843
+ ุฃู†ุช ุฃุณู…ุงู‡ ุชุฌุงูˆุจุŒ ู…ูŠู† ุชุฌุงูˆุจุŸ
844
+
845
+ 212
846
+ 00:22:37,240 --> 00:22:41,880
847
+ ูุถู„ ูŠุง ุฃุณู…ุงุก ู„ุฃู†ู‡ ููŠ ุดุฑุท ุงู„ุฏูˆุงุฆุฑ ููŠ ูุตู„ .. ููŠ ูุตู„
848
+
849
+ 213
850
+ 00:22:41,880 --> 00:22:45,040
851
+ ุงู„ุดูŠุทุงู† ุจูŠูƒูˆู† ุฏุงุฎู„ ุฏุงุฎู„ ุฌูˆ ู…ุฑุชูุน ูˆุจู†ุนุฑููŠู† ุงู„ุฑูŠุงุญ
852
+
853
+ 214
854
+ 00:22:45,040 --> 00:22:48,740
855
+ ุจุชู†ู‚ู„ ุจุชูƒูˆู† ุฌุงูุฉ ู…ุง ุชุฏุฎู„ direct ุนู„ู‰ ุงู„ุฅุฌุงุจุฉ ูŠุง
856
+
857
+ 215
858
+ 00:22:48,740 --> 00:22:55,180
859
+ ุฃุณู…ุงุก ุนุฏุฏ ู‡ุฐุง ุงู„ู„ูŠ ุจุชุนุจู† ููŠ ุงู„ุชุตุญูŠุญ ุจุตูŠุฑ ุฃุฏูˆุฑ ูˆูŠู†
860
+
861
+ 216
862
+ 00:22:55,180 --> 00:22:58,780
863
+ ุงู„ุฅุฌุงุจุฉ ุงู„ direct ู„ุฃู† ุฃูุถู„ ููŠ ูุตู„ ุงู„ุณูู† ุฑูŠุงุญ
864
+
865
+ 217
866
+ 00:22:58,780 --> 00:23:04,840
867
+ ู…ุจุณู…ูŠุฉ ุจุณ ุจูŠู†ู…ุง ููŠ ุบุฑุจ ุงู„ุฏูˆุงุฆุฑ ุฑูŠุงุญ ุฌู†ูˆุจูŠุฉ ุบุฑุจูŠุฉ
868
+
869
+ 218
870
+ 00:23:04,840 --> 00:23:09,660
871
+ ุนูƒุณูŠุฉูŠุนู†ูŠ ุฅู† ู‚ูˆู„ ุทุงู‚ุชูƒ ู…ุฑุชูุน ุฃูˆ ุทุงู‚ุชูƒ ู…ุชุฎูุช ..
872
+
873
+ 219
874
+ 00:23:09,660 --> 00:23:16,920
875
+ ุฅุฌุงุจุชูƒ ุฅูŠู‡ุŸ ุจุชุชุนุจูŠู† ููŠ ุงู„ุชุตุฑูŠุญุŸ
876
+
877
+ 220
878
+ 00:23:16,920 --> 00:23:24,980
879
+ ู„ุฃ ู…ุง ู‡ูˆ ุงู†ุชุจู‡ูˆุง ุงู„ุฅุณู‡ุงุจูˆุง ููŠ ุฅุฌุงุจุฉ ุงู„ุฃุณุฆู„ุฉ
880
+
881
+ 221
882
+ 00:23:24,980 --> 00:23:28,240
883
+ ุงู„ู…ู‚ู†ู†ุฉ ุบู„ุท
884
+
885
+ 222
886
+ 00:23:30,060 --> 00:23:35,780
887
+ ููŠ ุฃุณุฆู„ุฉ ู…ู‚ู†ู†ุฉ ุชุญุชุงุฌ ุฅู„ู‰ ุฅุฌุงุจุฉ ู…ู‚ู†ู†ุฉ ูุงู‡ู…ุชูˆุงุŸ ูู…ุง
888
+
889
+ 223
890
+ 00:23:35,780 --> 00:23:42,780
891
+ ู†ู‚ูˆู„ุด ูŠุนู†ูŠ ู‡ูŠ ูƒู„ุงู…ู‡ุง ุตุญ ููŠ ุฏุฑุณ ุจุฏู‡ ุดุฑุญ ู…ุด ููŠ
892
+
893
+ 224
894
+ 00:23:42,780 --> 00:23:47,300
895
+ ุงู…ุชุญุงู† ุจุฏู‡ ูˆู‚ุช ูุงู‡ู…ุชูˆุงุŸ ูƒู„ุงู… ุงู„ู„ูŠ ู„ูˆ ุงู†ู†ุง ุจุชุดุฑุญ
896
+
897
+ 225
898
+ 00:23:47,300 --> 00:23:51,740
899
+ ู„ุตุญ ู…ูŠุฉ ุจุงู„ู…ูŠุฉ ู…ุฏุฑุณุฉ ู…ูŠุฉ ุจุงู„ู…ูŠุฉ ู„ูƒู† ุงุญู†ุง ููŠ ุงู…ุชุญุงู†
900
+
901
+ 226
902
+ 00:23:51,740 --> 00:23:56,600
903
+ ุจู†ุญุงูุธ ุนู„ู‰ ุงู„ูˆู‚ุช ูˆุนุงู„ุฌู‡ูˆุฏ ูˆู„ุง ู…ุด ุตุญูŠุฉุŸ ุทูŠุจ
904
+
905
+ 227
906
+ 00:23:59,700 --> 00:24:04,120
907
+ ุงู„ู€ .. ูˆููŠ
908
+
909
+ 228
910
+ 00:24:04,120 --> 00:24:07,320
911
+ ุงู„ุฌู‡ุงุช ุงู„ู„ูŠ ุงุชู‚ู„ ุงู„ุฃู…ุทุงุฑู‡ุง ุจุดูƒู„ ูƒุจูŠุฑ ูุงุตู„ ุฌูุงู
912
+
913
+ 229
914
+ 00:24:07,320 --> 00:24:10,780
915
+ ุทูˆูŠู„ ุชู†ุธุฑ ุงู„ุญูŠุงุฉ ู„ุฅูŠู‡ุŸ ุงู„ู†ุจุงุชูŠุŒ ุงู„ู†ุจุงุชูŠุŒ ุงู„ู†ุจุงุชูŠ
916
+
917
+ 230
918
+ 00:24:10,780 --> 00:24:18,520
919
+ ุญุชู‰ ุชุชุญูˆู„ ุฅู„ู‰ ุดุฌูŠุฑุงุช ุฃุตุบุฑ ุดูˆูŠุฉุŒ ุฅู„ุง ุฃู†ู‡ ุฃุฒุงู„
920
+
921
+ 231
922
+ 00:24:18,520 --> 00:24:23,410
923
+ ุงู„ุฅู†ุณุงู† ู…ุง ุณุญุงุด ูŠุณูŠุนูˆุญ ุงู„ู…ุญู„ ู‡ุฒุฑุงุนู‡ุงู„ู…ูˆุงู„ุญ
924
+
925
+ 232
926
+ 00:24:23,410 --> 00:24:29,770
927
+ ูˆุงู„ุฒูŠุชูˆู† ูˆุงู„ูƒุฑูˆ .. ุงู„ู…ูˆุงู„ุญ ูˆุงู„ุฒูŠุชูˆู† ูˆุงู„ูƒุฑูˆ .. ุฅูŠุด
928
+
929
+ 233
930
+ 00:24:29,770 --> 00:24:36,850
931
+ ู‡ูŠ ุงู„ู…ูˆุงู„ุญุŸ .. ู‡ูŠ ุฃู†ุง ุจุณุฃู„ู‡ ู‡ูŠ .. ุทูŠุจ .. ุงู„ุบุงุจุงุช
932
+
933
+ 234
934
+ 00:24:36,850 --> 00:24:42,910
935
+ ุงู„ุฅู‚ู„ูŠู… ุงู„ุตูŠู†ูŠ .. ุบุงุจุงุช ุงู„ุฅู‚ู„ูŠู… ุงู„ุตูŠู†ูŠ
936
+
937
+ 235
938
+ 00:24:45,390 --> 00:24:50,390
939
+ ุฃูŠู† ูŠู‚ุน ุงู„ุฃู‚ู„ูŠู… ุงู„ุตูŠู†ูŠุŸ ุดุฑุท ุฏูˆุงุฆุฑ ุงู„ุนุฑุถุŒ ุชู„ุงุชูŠู†
940
+
941
+ 236
942
+ 00:24:50,390 --> 00:24:55,870
943
+ ุฅู„ู‰ ุฃุฑุจุนูŠู†ุŒ ุถุฑูˆุฑูŠ ู†ุญูุธ ุฏูˆุงุฆุฑ ุงู„ุนุฑุถุŒ ูˆู…ุงููŠุด ู…ุณุงู‚
944
+
945
+ 237
946
+ 00:24:55,870 --> 00:25:00,350
947
+ ุฌุบุฑุงููŠ ุฅู„ุง ูŠุฏุฎู„ ุฏูˆุงุฆุฑ ุงู„ุนุฑุถ ูˆุฎุทูˆุทุŒ ูู…ุงููŠ ู…ุดูƒู„ุฉ ุฃู†
948
+
949
+ 238
950
+ 00:25:00,350 --> 00:25:05,950
951
+ ุงู†ุง ุงูƒูˆู† ุงู†ุง ุงูŠู‡ุŸ ุญูุธ ู‡ู†ุงุชุบุฒู„ ุงู„ุฃู…ุทุงุฑ ูƒู…ูŠุฉ ุชูˆุถุน ููŠ
952
+
953
+ 239
954
+ 00:25:05,950 --> 00:25:09,530
955
+ ุดู‡ูˆุฑ ุงู„ุตูŠู ู‚ู„ู†ุง ู„ุฃู† ู‡ุฐุง ุงู„ุงู‚ู„ูŠู…ูŠ ูŠู‚ุน ููŠ ุดุฑู‚ ุงู„ู‚ุงุฑุฉ
956
+
957
+ 240
958
+ 00:25:09,530 --> 00:25:15,190
959
+ ูˆุฅู† ุงู„ุฃู…ุทุงุฑ ุดุฑู‚ ุงู„ู‚ุงุฑุงุช ุฃู…ุทุงุฑ ุชูˆู„ุน ูˆ ุชุฒูŠุฏ ุตูŠูุงู‹
960
+
961
+ 241
962
+ 00:25:15,190 --> 00:25:19,170
963
+ ูˆุจุงู„ุชุงู„ูŠ ู…ุงุนู†ุฏู‡ ู…ุดูƒู„ุฉ ุงู„ู†ุจุงุช ูุฅู† ุงู„ู†ุจุงุชุงุช ู‡ู†ุง ุชูƒูˆู†
964
+
965
+ 242
966
+ 00:25:19,170 --> 00:25:23,250
967
+ ุฃูƒุซุฑ ูƒุซุงูุฉ ู…ู† ุงู„ู†ุจุงุชุงุช ุงู„ู…ุชูˆุณุทุฉ ูƒูŠู ุฃู…ุทุงุฑ ุดุฑู‚
968
+
969
+ 243
970
+ 00:25:23,250 --> 00:25:25,910
971
+ ุงู„ู‚ุงุฑุฉ ุชุฒุฏุงุฏ ุฃู…ุทุงุฑ ูƒู…ูŠุฉ ุนุงู…ุฉุŸ ู…ู† ุฒู…ุงู† ุญูƒูŠู†ุง ุฏู‡
972
+
973
+ 244
974
+ 00:25:25,910 --> 00:25:30,750
975
+ ุงู„ูƒู„ุงู… ููŠ ุงู„ุดุชุงู… ู‡ูˆ ุดุฑู‚ ุงู„ู‚ูŠุงู…ุฉ
976
+
977
+ 245
978
+ 00:25:33,520 --> 00:25:42,220
979
+ ุงู„ุตูŠู† ู†ุชูุฉ ู†ุชูุฉ ุนุงุฑููŠู† ู†ุชูุฉ ู†ุชูุฉุŸ ุญูƒูŠุชู„ูƒู… ู‡ุฐูŠ CNN
980
+
981
+ 246
982
+ 00:25:42,220 --> 00:25:50,600
983
+ CNN ุญูƒูŠุชู‡ุง ูŠู…ูƒู† ููŠ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ ููŠ ุงู„ุชุณุนูŠู† ู„ู…ุง
984
+
985
+ 247
986
+ 00:25:50,600 --> 00:25:55,630
987
+ ุตุงุฑุช ุญุฑุจ ุงู„ุฎู„ูŠุฌ ุงู„ุนุฑุจูŠูˆุฃู…ุฑูŠูƒุง ุฅุฌุช ูˆูƒุงู„ุฉ ุงู„ุฃู†ุจุงุก
988
+
989
+ 248
990
+ 00:25:55,630 --> 00:26:01,510
991
+ ุงู„ุฅุฎุจุงุฑูŠุฉ ููŠ ุงู„ูˆุทู† ุงู„ุฃู…ุฑูŠูƒูŠ ุงุณู…ู‡ุง CNN CNN ู‡ุฐู‡
992
+
993
+ 249
994
+ 00:26:01,510 --> 00:26:05,970
995
+ ูˆูƒุงู„ุฉ ุนุงู„ู…ูŠุฉ ูŠุนู†ูŠ ุญุชู‰ ุงู„ุตุญุงูุฉ ููŠู‡ุง ู…ู† ุฃุบู„ู‰
996
+
997
+ 250
998
+ 00:26:05,970 --> 00:26:10,270
999
+ ุงู„ุตุญุงููŠู† ููŠ ุงู„ุนุงู„ู… ุจุฑูู‚ ุงู„ุฌูŠุด ุงู„ุฃู…ุฑูŠูƒูŠ ููŠ ุทู„ุนุงุช
1000
+
1001
+ 251
1002
+ 00:26:11,150 --> 00:26:15,230
1003
+ ูˆุงุญุฏ ููŠ ู…ุตุฑ ุจูŠู‚ูˆู„ ูŠุง ุฃุฎูŠ ุฃู†ุง ุจุณู…ุน ุงู„ุฃุฎุจุงุฑ ุจุณ ุญูƒุงูŠุฉ
1004
+
1005
+ 252
1006
+ 00:26:15,230 --> 00:26:19,430
1007
+ CNN ู‡ุงุฏูŠุฉ ู…ุด ูุงู‡ู…ู‡ุง ูˆุงุญุฏ ุชุงู†ูŠ ุฑุฏ ุนู„ูŠู‡ ุตุงุญุจู‡ ุทุจุนุง
1008
+
1009
+ 253
1010
+ 00:26:19,430 --> 00:26:23,650
1011
+ ุฒูŠู‡ ู…ุตุทูˆู„ ู‚ุงู„ู‡ ูŠุง ุฑุงุฌู„ ู…ุงุดูŠ ุจุชุณู…ุนู‡ุง ู†ุฏูุฉ ู†ุฏูุฉุŸ
1012
+
1013
+ 254
1014
+ 00:26:23,650 --> 00:26:29,570
1015
+ ู‚ุงู„ู‡ .. ู‚ุงู„ู‡ ู‡ูŠ ุณุงู†ู‡ ุญุฏุณูƒู… ู†ุฏูุฉ ู†ุฏูุฉ ุงู‡ .. ุงู‡ ูŠุง
1016
+
1017
+ 255
1018
+ 00:26:29,570 --> 00:26:35,630
1019
+ ุงุณู…ุน ุญุงูƒูŠู†ุงู‡ุง ุฒู…ุงู† ุฃู† ุฃู…ุทุงุฑ .. ุบุฑุจ ุงู„ู‚ุงุฑุฉ ุฃู…ุทุงุฑ
1020
+
1021
+ 256
1022
+ 00:26:35,630 --> 00:26:39,540
1023
+ ุทูˆุงู„ ุงู„ุนุงู… ุชุฒูŠุฏ ุดุชุงุกุดุฑุฎ ุงู„ู‚ุงุฑุงุช ุฃู…ุชุงุฑ ุทูˆุงู„ ุนุงู…
1024
+
1025
+ 257
1026
+ 00:26:39,540 --> 00:26:45,900
1027
+ ูˆุชุฒูŠุฏ ุตูŠูุงุŒ ุฅุฐุง ูƒุงู† ุบุฑุจ ุงู„ู‚ุงุฑุงุช ูŠุฒูŠุฏ ุดุชุงุก ูุฅู† ููŠ
1028
+
1029
+ 258
1030
+ 00:26:45,900 --> 00:26:51,800
1031
+ ุงู„ุตูŠู ุฃู…ุชุงุฑ ู‚ู„ูŠู„ุฉ ุฌุฏุงุฃู…ุทุงุฑ ู‚ู„ูŠู„ุงุŒ ุฌุฏุงุŸ ุบุฑุจ ุฃุณูŠุงุŒ
1032
+
1033
+ 259
1034
+ 00:26:51,800 --> 00:26:56,200
1035
+ ู…ุด ูˆุงุญุฏ ููŠ ุดุฑู‚ ุฃูˆุฑูˆุจุงุŒ ููŠ ุฃู…ุทุงุฑ ูˆู…ุง ู†ุทู„ุด .. ุฅุฐุง
1036
+
1037
+ 260
1038
+ 00:26:56,200 --> 00:27:05,440
1039
+ ุงู„ุณุจุจ ู‡ู†ุง ู…ุญู„ูŠ ู…ุชุนู„ู‚ ุจุบุฑุจ ุฃุณูŠุง ู„ุงู„ุชุตุงู‚ู‡ ุจุงู„ูŠุงุจุณ
1040
+
1041
+ 261
1042
+ 00:27:05,440 --> 00:27:12,060
1043
+ ุงู„ุฃูˆุฑูˆุจูŠ ูˆุงู„ุฃูุฑูŠู‚ูŠุŒ ุฅุฐุง ุจูŠุถุงู„ ู‡ู†ุง ุฅูŠุดุŸ ู‡ุฌูŠุช ุนู†ุง ููŠ
1044
+
1045
+ 262
1046
+ 00:27:12,060 --> 00:27:15,720
1047
+ ุงู„ูู‚ู‡ ุงู„ุฅุณู„ุงู…ูŠ ุทู„ุน ูู‚ู‡ ุงู„ุญุงู„ ูˆูู‚ู‡ ุงู„ูˆุงู‚ุนุŒ ุตุญุŸ
1048
+
1049
+ 263
1050
+ 00:27:17,680 --> 00:27:21,260
1051
+ ุณุฃู‚ูˆู„ู‡ุง ุงู„ุตุญูŠุญุŒ ูุญุณุจ ุงู„ุญุงู„ุฉ ุจูŠุฌูŠู† ุงู„ุดูŠุฎ ุจูŠูุชูŠุฑ
1052
+
1053
+ 264
1054
+ 00:27:21,260 --> 00:27:25,320
1055
+ ูˆูŠู‚ูˆู„ูŠ okay yes or noุŒ ุจูŠู†ู…ุง ุงู„ .. ุงู„ geography
1056
+
1057
+ 265
1058
+ 00:27:25,320 --> 00:27:30,740
1059
+ ู†ูุณ ุงู„ูƒู„ุงู…ุŒ ู†ูุณ ุงู„ูƒู„ุงู…ุŒ ู„ุฅู† ุบุฑุจ ุฃุณูŠุง ู…ู†ุชุตู‚
1060
+
1061
+ 266
1062
+ 00:27:30,740 --> 00:27:37,960
1063
+ ุจุฃูˆุฑูˆุจุงุŒ ูุงู†ุนุฏู… ุงู„ู…ุทุฑ ููŠู‡ุตุญุŸ ูˆู„ุฃู†ู‡ ู‚ูŠู… ุงู„ุจุญุฑ ู…ุชูˆุณุท
1064
+
1065
+ 267
1066
+ 00:27:37,960 --> 00:27:43,280
1067
+ ุฃูŠุถู‹ุง ู…ุญุฏูˆุฏ ุงู„ู…ุณุงุญุฉ ูˆู…ุญุชุถู† ุจุฅูุฑูŠู‚ูŠุง ูˆุฃูˆุฑูˆุจุง ุฃู…ุทุงุฑ
1068
+
1069
+ 268
1070
+ 00:27:43,280 --> 00:27:46,900
1071
+ ู…ุญุฏูˆุฏุฉุŒ ูู‡ู…ุชูˆุงุŸ ุฃูŠุถู‹ุง ูŠุง ุฃุณุชุงุฐุŒ ุจุนุถ ุนู† ุงู„ู…ุคุซุฑุงุช
1072
+
1073
+ 269
1074
+ 00:27:46,900 --> 00:27:50,080
1075
+ ุงู„ุจุญุฑูŠุฉ ูŠุง ุฒุงุฆุฏุŒ ุจุนุถ ุนู† ุงู„ู…ุคุซุฑุงุช ุงู„ุจุญุฑูŠุฉุŒ bravo
1076
+
1077
+ 270
1078
+ 00:27:50,080 --> 00:27:52,080
1079
+ ุนู„ูŠูƒ ูŠุง ุฏู†ูŠุงุŒ ุทูŠุจ
1080
+
1081
+ 271
1082
+ 00:27:54,690 --> 00:27:59,650
1083
+ ูˆูŠูˆุฌุฏ ุฃู†ูˆุงุน ุฃุฎุฑู‰ ุฒูŠ ุงู„ุจุชูˆู„ุฉ ูˆุงู„ุงุณูู„ุฏุงู† ูˆุงู„ุจู†ูˆุช
1084
+
1085
+ 272
1086
+ 00:27:59,650 --> 00:28:04,570
1087
+ ูˆุงู„ูู„ูŠู† ุทุจุนุง ูˆู‚ุฏ ุฃุฒุงู„ ุงู„ุฅู†ุณุงู† ู…ุณุงุญุงุช ุดุงุณุนุฉ ูˆุญู„
1088
+
1089
+ 273
1090
+ 00:28:04,570 --> 00:28:10,370
1091
+ ู…ุญู„ุฉ ุฒุฑุงุนุฉ ุงู„ุฎุทุจู† ูˆุงู„ุฃุฑุณ ุฅุฐุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงุฎุชู„ุทุช
1092
+
1093
+ 274
1094
+ 00:28:10,370 --> 00:28:15,530
1095
+ ุงู„ุนูˆุงู…ู„ ุงู„ุทุจูŠุนูŠุฉ ุจุงู„ุนูˆุงู…ู„ ุงู„ุจุดุฑูŠุฉ ุฅู† ุงู„ุฅู†ุณุงู† ู…ุฏู…ุฑ
1096
+
1097
+ 275
1098
+ 00:28:15,530 --> 00:28:22,530
1099
+ ู„ู„ุจูŠุฆุฉ ุงู„ุทุจูŠุนูŠุฉ ุฃุฒุงู„ ุฃุฒุงู„ุงู„ุบุงุจุงุช ุงู„ู…ุฎุฑูˆุทูŠุฉุŒ
1100
+
1101
+ 276
1102
+ 00:28:22,530 --> 00:28:28,190
1103
+ ุฃุฎุฏู†ุงู‡ุง ููŠ ุฃูˆุฑูˆุจุงุŒ ุตุญุŸ ู‡ูŠ ู†ูุณู‡ุง ุงู„ู„ูŠ ููŠ ุฃูˆุฑูˆุจุงุŒ
1104
+
1105
+ 277
1106
+ 00:28:28,190 --> 00:28:35,390
1107
+ ู„ูƒู† ุงู„ู„ูŠ ูŠุฎุชู„ู ู‡ูˆ .. ุดูˆ ุงู„ู„ูŠ ุจูŠุฎุชู„ูุŸ ุงู„ู…ูˆู‚ุน
1108
+
1109
+ 278
1110
+ 00:28:35,390 --> 00:28:40,490
1111
+ ุงู„ุฌุบุฑุงููŠุŒ ุงู„ู„ูŠ ูŠุฎุชู„ู ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ ุฃูˆุฑุงู‚ ุนุฑูŠุถุฉุŒ
1112
+
1113
+ 279
1114
+ 00:28:40,490 --> 00:28:46,410
1115
+ ุฃุฎุดุงุจ ุตู„ุจุฉุŒ ู…ู†ุงุทู‚ ุฏุงูุฆุฉุŒ ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ
1116
+
1117
+ 280
1118
+ 00:28:50,140 --> 00:28:54,560
1119
+ ุจูŠู† ุฏูˆุฑ ุนุฑุถ 40 ุฅู„ู‰ 60 ุชุชู…ูŠุฒ ุจูŠู‡ ู…ุนุชุงุฏู„ุฉ ุจุงุฑุฏุฉ ุดูƒู„
1120
+
1121
+ 281
1122
+ 00:28:54,560 --> 00:28:59,840
1123
+ ู…ุฎุฑูˆุทูŠ ุนุดุงู† ุชุฑุงูƒู… ุงู„ุชู„ูˆุฌ ุฃูˆ ุฑุงู ู†ุงุนู…ุฉ ุฅุจุงุฑูŠุฉ ุงู„ุดูƒู„
1124
+
1125
+ 282
1126
+ 00:28:59,840 --> 00:29:05,700
1127
+ ูˆู‚ุฏ ุฃุฒุงู„ุฉ ุชุณุชุฎุฏู… ู…ุณุงุญุงุช ุดุงุณุฉ ู„ูŠุญุจ ู…ุญุงู„ุฉ ุฅูŠู‡ ูˆู„ูˆ
1128
+
1129
+ 283
1130
+ 00:29:05,700 --> 00:29:08,780
1131
+ ุชุณุชุฎุฏู… ู…ุณุงุญุงุช ู„ูŠู‡ ู„ุฃู†ู‡ ู†ุถุฑุฉ ุงู„ุณูƒุงู† ู„ุฃู†ู‡ ู…ู†ุงุทู‚
1132
+
1133
+ 284
1134
+ 00:29:08,780 --> 00:29:14,320
1135
+ ุฏุงุฎู„ูŠุฉ ููŠ ุงู„ู‚ุงุฑุฉ ู…ู†ุงุทู‚ ุฏุงุฎู„ูŠุฉ ุจุงู„ู‚ุงุฑุฉ ูˆุงุชุฌุงู‡
1136
+
1137
+ 285
1138
+ 00:29:14,320 --> 00:29:20,860
1139
+ ุฃู†ู‡ุงุฑู‡ุง ู„ู„ุฃุฌุฒุงุก ูˆูŠู† ู‚ู„ู†ุงู…ู† ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ุชู†ุชู‡ูŠ ููŠ
1140
+
1141
+ 286
1142
+ 00:29:20,860 --> 00:29:24,380
1143
+ ุงู„ู…ุญูŠุท ุงู„ู…ุชุฌู…ุฏ ุงู„ุดู…ุงู„ูŠ ูˆู‡ุฐุง ู…ู† ุงู„ุนูˆุงู…ู„ ุงู„ุชูŠ ุณุงุนุฏุช
1144
+
1145
+ 287
1146
+ 00:29:24,380 --> 00:29:30,060
1147
+ ุนู„ู‰ ุนุฏู… ุงุณุชุบู„ุงู„ ุงู„ุบุงุจุงุช ุงู„ู…ุฎู„ูˆุทูŠุฉ ููŠ ุงู„ุฃุณูŠุง ุทุจ ุจุฏูŠ
1148
+
1149
+ 288
1150
+ 00:29:30,060 --> 00:29:37,740
1151
+ ุฃุณุฃู„ ุณุคุงู„ ูŠุชุนู„ู‚ ุจุงู„ู…ูˆุถูˆุนุŒ ุฅุฐุง ู‡ุฐู‡ ุงู„ุฃู†ู‡ุงุฑ ุฃูŠุถุง
1152
+
1153
+ 289
1154
+ 00:29:37,740 --> 00:29:44,040
1155
+ ุชุญุฏุฏุช ุงู„ุทุจูŠุนุฉุŒ ูƒู†ุง ุชุญุฏุฏ ุงู„ุทุจูŠุนุฉ ุฅู† ู‡ูŠ ุตุงุฑุช ุนูƒุณ
1156
+
1157
+ 290
1158
+ 00:29:44,040 --> 00:29:50,660
1159
+ ุงู„ุทุจูŠุนุฉ ููŠ ุงู„ุงุณุชุบู„ุงู„ุŒ ุตุญุŸู‡ู„ ูˆู‚ูุช ุงู„ุญูƒูˆู…ุฉ ุงู„ุฑูˆุณูŠุฉ
1160
+
1161
+ 291
1162
+ 00:29:50,660 --> 00:29:59,320
1163
+ ุนุงุฌุฒุฉ ุฃู…ุงู… ู‡ุฐุง ุงู„ู…ุนูŠู‚ุงุชุŸ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1164
+
1165
+ 292
1166
+ 00:29:59,320 --> 00:29:59,320
1167
+ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1168
+
1169
+ 293
1170
+ 00:29:59,320 --> 00:29:59,500
1171
+ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1172
+
1173
+ 294
1174
+ 00:29:59,500 --> 00:30:01,220
1175
+ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1176
+
1177
+ 295
1178
+ 00:30:01,220 --> 00:30:01,640
1179
+ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1180
+
1181
+ 296
1182
+ 00:30:01,640 --> 00:30:10,500
1183
+ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ ู„ุฃุŒ
1184
+
1185
+ 297
1186
+ 00:30:10,500 --> 00:30:17,480
1187
+ ู„ุฃ
1188
+
1189
+ 298
1190
+ 00:30:17,940 --> 00:30:23,800
1191
+ ุงู„ูƒู‡ุฑุจุงุกุŒ ูู‡ู…ุชูˆุงุŸ ุทูŠุจ ุงู„ุบุงุจุงุช
1192
+
1193
+ 299
1194
+ 00:30:23,800 --> 00:30:28,700
1195
+ ุงู„ู†ูุถูŠุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุงุทู‚ ุงู„ุฏุงูุนุฉุŒ ุจุฏูŠ ูˆุงุญุฏ
1196
+
1197
+ 300
1198
+ 00:30:28,700 --> 00:30:35,080
1199
+ ุฃุชูู‡ู…ู†ูŠ ุงู„ุณุทุฑ ุงู„ุฃูˆู„ ุจุฏูŠ
1200
+
1201
+ 301
1202
+ 00:30:35,080 --> 00:30:39,980
1203
+ ูˆุงุญุฏ ุฃุชูู‡ู…ู†ูŠ ุงู„ุณุทุฑ ุงู„ุฃูˆู„ุŒ ุชู†ุชุดุฑุŒ ู…ุชู†ุงู‚ุฑุฉุŒ ูŠุนู†ูŠ ู‡ู†ุง
1204
+
1205
+ 302
1206
+ 00:30:39,980 --> 00:30:44,660
1207
+ ูˆ ู‡ู†ุงูƒุŒ ู‡ู†ุง ูˆ ู‡ู†ุงูƒุŒ ุจุนูƒุณ ุฃูˆุฑูˆุจุงุŒ ุงู„ู„ูŠ ู‡ูˆ ู‚ู„ูŠู„
1208
+
1209
+ 303
1210
+ 00:30:44,660 --> 00:30:52,800
1211
+ ู…ุชุตู„ุŒ ู‡ุงู‡ุŸู…ู† ุฃูˆุณุท ูˆุดุฑู‚ ุฃุณูŠุงุŒ ู‚ู„ูŠู„ ู…ู†ุดูˆุฑูŠุงุŒ
1212
+
1213
+ 304
1214
+ 00:30:52,800 --> 00:30:59,160
1215
+ ูƒุงู…ูŠุชุดูŠูƒุงุŒ ุดู…ุงู„ ุงู„ุตูŠู†ุŒ ู…ุงุนู„ูŠู†ุง ุฎู„ุงูุŒ ู„ูƒู† ุฃู† ู†ุฌุฏ
1216
+
1217
+ 305
1218
+ 00:30:59,160 --> 00:31:04,600
1219
+ ูˆุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑูŠ ูˆูˆุณุท ูˆูˆุณุท ุงู„ุงุชุญุงุฏูŠุฉ ุชุตูŠุฑ ู…ู† ุงู„ุบุฑุจ
1220
+
1221
+ 306
1222
+ 00:31:04,600 --> 00:31:10,360
1223
+ ุงู„ุณูŠุจูŠุฑูŠุŒ ุงู‡ุŒ ู…ูŠู† ูู‡ู…ู†ุง ู‡ุฐู‡ ุงู„ุนุจุงุฑุฉุŸ ุงูŠู† ูŠู‚ุน ุงู„ุบุฑุจ
1224
+
1225
+ 307
1226
+ 00:31:10,360 --> 00:31:13,840
1227
+ ุงู„ุณูŠุจูŠุฑูŠุŸ
1228
+
1229
+ 308
1230
+ 00:31:13,840 --> 00:31:19,690
1231
+ ุงู‡ ูŠู‚ุน .. ูŠู‚ุน ..ุทูŠุจุŒ ู‡ูˆ ูŠุนู†ูŠ ูŠูุชุฑุถ ุฃู† ูŠูƒูˆู† ุงู„ุบุฑุจ
1232
+
1233
+ 309
1234
+ 00:31:19,690 --> 00:31:26,610
1235
+ ุงู„ุณูŠุจูŠุฑูŠ ู‡ูˆ ู‚ุงุฑูŠ ุตุญุŸ ู‚ุงุฑูŠ ูˆ ู…ุชุฌู…ู„ ู„ูƒู† ู…ูˆุฌูˆุฏ ููŠ
1236
+
1237
+ 310
1238
+ 00:31:26,610 --> 00:31:29,450
1239
+ ุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑูŠุŒ ูŠุนู†ูŠ ููŠู‡ ู…ู† ุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑูŠุŸ ููŠ
1240
+
1241
+ 311
1242
+ 00:31:29,450 --> 00:31:38,050
1243
+ ู„ูŠู†ุฌุฑุงุฏุŒ ุงู„ู…ุฏู† ุงู„ุฑูˆุณูŠุฉ ุงู„ุชูŠ ุชู‚ุน ุนู„ู‰ ุงู„ุจุญุฑ ุงู„ุจู†ู‚ูŠุŒ
1244
+
1245
+ 312
1246
+ 00:31:38,050 --> 00:31:44,040
1247
+ ู„ุฃู† ู‡ุฐุง ุงู„ู…ู†ุทู‚ุฉ ู†ุทุงู‚ ุฏุงูุน ููŠ ุฃูˆุฑูˆุจุงุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑูŠ
1248
+
1249
+ 313
1250
+ 00:31:44,040 --> 00:31:48,300
1251
+ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰ ุงู„ุจุญุฑ ุงู„ุจู„ุทูŠ ุฒูŠ ู…ุฏูŠู†ุฉ ู„ูŠู†ุฌุฑุงุฏุŒ ุงู„ู„ูŠ
1252
+
1253
+ 314
1254
+ 00:31:48,300 --> 00:31:54,720
1255
+ ุนู†ุฏ ุงู„ุฌู…ู‡ูˆุฑูŠุงุช ุงู„ุณูˆููŠูŠุชูŠุฉุŒ ุงุณุชุงู†ูŠุงุŒ ู„ุงุฏูŠููŠุงุŒ ู‡ุฏูˆู„ุฉ
1256
+
1257
+ 315
1258
+ 00:31:54,720 --> 00:31:58,300
1259
+ ุงู„ู„ูŠ ู…ุณุงุญุงุชู‡ู… ู„ุง ุชุชุนุฏู‰ ุณุจุนูŠู† ุฃู„ู ูƒูŠู„ูˆู…ุชุฑ ู…ุฑุจุนุŒ
1260
+
1261
+ 316
1262
+ 00:31:58,300 --> 00:32:03,720
1263
+ ุงู„ุชู„ุงุช ุฌู…ู‡ูˆุฑูŠุงุชุŒ ุงู„ู„ูŠ
1264
+
1265
+ 317
1266
+ 00:32:03,720 --> 00:32:08,870
1267
+ ุงุณุชู‚ู„ูˆุง .. ุฃูˆู„ ู…ุง ุงุณุชู‚ู„ูˆุง ุงุชุญุฏูˆุง ุงู„ุณูˆููŠูŠุชุชุชุณุงู‚ุท
1268
+
1269
+ 318
1270
+ 00:32:08,870 --> 00:32:13,510
1271
+ ุฃูˆุฑุงู‚ู‡ุง ุทุจุนุง ูˆ ุชุจุฏูˆ ุงู„ุฃุฎุดุงุจ ุฌุฑุฏุงุก ููŠ ูุตู„ ุงู„ุฎุฑูŠู
1272
+
1273
+ 319
1274
+ 00:32:13,510 --> 00:32:19,010
1275
+ ูˆุงู„ุดุชุงุก ู„ุฅู†ู‡ุง ู…ุงููŠุด ู…ุทุฑ ูˆ ุฃูˆุฑุงู‚ู‡ุง ุนุฑูŠุถุฉ ุชุชุฃุซุฑ
1276
+
1277
+ 320
1278
+ 00:32:19,010 --> 00:32:24,510
1279
+ ุจุชุบูŠุฑุงุช ุงู„ู…ู†ุงุฎูŠุฉ ูˆ ู‚ุฏ ุฃุฒูŠู„ุช ู…ุณุงุญุงุช ุดุงุณุฉ ู„ุชุญูŠู„
1280
+
1281
+ 321
1282
+ 00:32:24,510 --> 00:32:30,030
1283
+ ู…ุญู„ู‡ุง ุฒุฑุงุน ุฃุณุจุงุจ ุชุถู‡ูˆุฑ ุงู„ุบุงุจุงุช ููŠ ุฃุณูŠุง
1284
+
1285
+ 322
1286
+ 00:32:32,580 --> 00:32:42,220
1287
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1288
+
1289
+ 323
1290
+ 00:32:42,220 --> 00:32:42,220
1291
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1292
+
1293
+ 324
1294
+ 00:32:42,220 --> 00:32:42,740
1295
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1296
+
1297
+ 325
1298
+ 00:32:42,740 --> 00:32:43,240
1299
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1300
+
1301
+ 326
1302
+ 00:32:43,240 --> 00:32:43,240
1303
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1304
+
1305
+ 327
1306
+ 00:32:43,240 --> 00:32:43,940
1307
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1308
+
1309
+ 328
1310
+ 00:32:43,940 --> 00:32:45,120
1311
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1312
+
1313
+ 329
1314
+ 00:32:45,120 --> 00:32:45,140
1315
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน ..
1316
+
1317
+ 330
1318
+ 00:32:45,140 --> 00:32:53,540
1319
+ ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุน
1320
+
1321
+ 331
1322
+ 00:32:53,540 --> 00:33:02,690
1323
+ .. ุงู‚ุชู„ุงุน .. ุงู‚ุชู„ุงุนูˆููŠ ุฃู…ุฑูŠูƒุง ูˆ ุงู„ู„ูŠ ุจุฒูŠุฏ ู…ู†
1324
+
1325
+ 332
1326
+ 00:33:02,690 --> 00:33:10,210
1327
+ ุงู„ุญุฑุงุฆู‚ ุงู†ู‡ ู‡ุงุฌูˆุง ุงู„ู†ุงุฑ ุจูŠู†ุดู ุงู„ุตุฌุฑุŒ ุชุฃูƒุฏูˆุง ุชู…ุงู…ุง
1328
+
1329
+ 333
1330
+ 00:33:10,210 --> 00:33:14,890
1331
+ ุงู† ุงู„ุตุฌุฑ ุจูŠุฎุงู ุฒูŠ ุจู†ูŠ ุนุฏุง
1332
+
1333
+ 334
1334
+ 00:33:17,730 --> 00:33:23,150
1335
+ ุจุฎุงู ุฒูŠ ุจู†ูŠ ุขุฏู… ุตุฏู‚ูˆู†ูŠ ููŠ ู…ู†ุงุทู‚ ุงู„ุชุฌุฑูŠุจ ู„ู…ุง ุจุฏุช
1336
+
1337
+ 335
1338
+ 00:33:23,150 --> 00:33:27,190
1339
+ ุฅุณุฑุงุฆูŠู„ ุชุฌุฑู ุนู†ุฏู†ุง ุงู„ู†ุทุงู‚ ุงู„ุฃุฎุถุฑ ุฃู† ุงู„ุดุฌุฑ ุงู„ู„ูŠ
1340
+
1341
+ 336
1342
+ 00:33:27,190 --> 00:33:31,770
1343
+ ุงุชู…ุฑ ุฌู†ุจูŠู‡ุง ุงู„ุฏุจุงุจุฉ ู…ุง ู†ู…ุช ุจุนุฏ ุงุญู†ุง ู„ุงุญุธู†ุงู‡ุง ุนู†ุฏู†ุง
1344
+
1345
+ 337
1346
+ 00:33:31,770 --> 00:33:36,150
1347
+ ููŠ ุงู„ุดุฌุฑ ุญุชู‰ ู…ู† ุนู… ูŠู‚ูˆู„ ูˆุงู„ู„ู‡ ุฃู† ุงู„ุดุฌุฑ ุจูŠุฎุงู ู…ู†
1348
+
1349
+ 338
1350
+ 00:33:36,150 --> 00:33:41,030
1351
+ ุงู„ุฏุจุงุจุงุช ุฒูŠ ุงู„ุจู†ุงุฏูŠ ุจูŠุฌุงู ุญุงู„ู‡ ุจูŠุฌุงู ูŠุนู†ูŠ ุจุงู„ุดุฌุฑ
1352
+
1353
+ 339
1354
+ 00:33:41,030 --> 00:33:45,650
1355
+ ุงู„ู„ูŠ ุจุนูŠุฏOkay ุทุจูŠุนูŠุŒ ู„ูƒู† ุงู„ู„ูŠ ุฌู†ุจู‡ุง ุงู„ุฏุจุงุจุฉุŒ
1356
+
1357
+ 340
1358
+ 00:33:45,650 --> 00:33:49,470
1359
+ ุชู‚ูˆู„ูˆู„ูŠ ูƒูŠู ุญุงุฌุฉ ูƒู„ุฑูŠูƒูŠุฉุŒ ุญุงุฌุฉ ู…ุงุนุฑูุด ุนุถูˆูŠุฉ ููŠ
1360
+
1361
+ 341
1362
+ 00:33:49,470 --> 00:33:55,750
1363
+ ุงู„ู†ุจุงุชุงุชุŒ ุงุตู„ุง ู…ุงุงูƒุชุดูู†ุงุด ุงุญู†ุงุŒ ูู‡ู…ุชูˆุงุŸ ูุงุดุชุบุงู„
1364
+
1365
+ 342
1366
+ 00:33:55,750 --> 00:34:00,330
1367
+ ุงู„ุญุฑุงูŠู‚ ูˆุงู„ุขูุงุชุŒ ุงู†ุชุดุงุฑ ุงู„ุฃู…ุฑุงุถ ุงู„ูŠูˆู… ููŠ ุงู„ุฃุดุฌุงุฑ
1368
+
1369
+ 343
1370
+ 00:34:00,330 --> 00:34:06,270
1371
+ ุฃูŠุถุง ุชุฏู‡ูˆุฑุŒ ุงู†ุชุดุงุฑ ุงู„ุฃู…ุฑุงุถูƒุซูŠุฑ ู…ู† ุงู„ุฃู…ุฑุงุถ ุทุจุนุง ุฒูŠ
1372
+
1373
+ 344
1374
+ 00:34:06,270 --> 00:34:09,950
1375
+ ุงู„ุฃูุงุฏ ุงู„ู„ูŠ ู‡ูŠ ุชู†ุชุดุฑ ููŠู‡ ูŠุนู†ูŠ ุงู„ูŠูˆู… ู…ู† ุฃุฎุทุฑ
1376
+
1377
+ 345
1378
+ 00:34:09,950 --> 00:34:13,850
1379
+ ุงู„ุฃู…ุฑุงุถ ุงู„ู„ูŠ ุชุชุตูŠุจ ุงู„ุญู…ุถูŠุงุช ููŠ ุฎุทุฉ ุบุฒุฉ ุงู„ู„ูŠ
1380
+
1381
+ 346
1382
+ 00:34:13,850 --> 00:34:17,770
1383
+ ุจูŠุณู…ูˆู‡ุง ุฏูˆุช ุงู„ู†ูู‚ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชูˆู‚ู ุงู„ู†ู…ูˆ ุงู„ุฌุฏูŠุฏุฉ
1384
+
1385
+ 347
1386
+ 00:34:17,770 --> 00:34:23,530
1387
+ ุฃุชุฏุงุก ู…ู† ู…ุงูŠูˆ ูˆูŠูˆู†ูŠูˆ ูˆูŠูˆู„ูŠูˆ ูˆ ุฃูƒุชูˆุจุฑ ู‡ุฐู‡ ุงู„ุจุฑุงู…ุฌ
1388
+
1389
+ 348
1390
+ 00:34:23,530 --> 00:34:30,290
1391
+ ุงู„ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ู‡ุชุชู…ูˆุง ุตุญ ุจุณุจุจ ุงู„ุฃู…ุฑุงุถ ุงู„ุญุฑุงู‚ ุจุชูƒูˆู†
1392
+
1393
+ 349
1394
+ 00:34:30,290 --> 00:34:36,530
1395
+ ุฅูŠุดุŸ ุจู„ุงุด ุงุญู†ุง ุนู„ู‰ ุงู„ู‡ูˆุงุก ู…ุจุงุดุฑุฉู‡ุฏุนูŠู„ูƒ ุฏู‡ ูˆ ุชุฎุงูุŸ
1396
+
1397
+ 350
1398
+ 00:34:36,530 --> 00:34:40,010
1399
+ ุนู† ุดุฏ ุฃู†ุง ุจุญุจ ูƒูŠูุŸ ุฅูŠุด ุฑุงุญ ูŠูุนู„ุŸ ุฒูŠ ุนู†ุฏู†ุง ูƒุงุฆู† ุฒูŠ
1400
+
1401
+ 351
1402
+ 00:34:40,010 --> 00:34:43,050
1403
+ .. ููŠ ุงู„ุจู„ุงุฏ ุงู„ู„ูŠ ุชุญุช ุงู„ุฃู…ุฑูŠูƒูŠุฉ ุจูŠุจู‚ูˆุง ุจูŠุณุชุฎุฏู…ูˆุง
1404
+
1405
+ 352
1406
+ 00:34:43,050 --> 00:34:49,270
1407
+ ุงู„ุญุฑุงุฆู‚ ุนุดุงู† ุชู‚ุถูŠ ุนู„ู‰ ุงู„ .. ุงู„ู†ุจุงุชุงุช ุงู„ู„ูŠ .. ุงู„ู„ูŠ
1408
+
1409
+ 353
1410
+ 00:34:49,270 --> 00:34:53,970
1411
+ ู…ุด ูƒูˆูŠุณุฉ ูŠุนู†ูŠุŒ ุงู„ู„ูŠ ุทูˆูŠู„ุฉ ุนู„ู‰ ุงู„ูุงุถูŠุฉุŒ ููƒุงู†ูˆุง
1412
+
1413
+ 354
1414
+ 00:34:53,970 --> 00:34:58,170
1415
+ ุจูŠู‚ุถูˆุง ุนู„ูŠู‡ุง ุนุดุงู† ูŠุฎู„ูˆุง ุงู„ู†ุจุงุชุงุช ุงู„ู‚ุตูŠุฑุฉ ุชู†ู…ูˆุง ูˆ
1416
+
1417
+ 355
1418
+ 00:34:58,170 --> 00:35:02,170
1419
+ ุชุจูŠู† ูˆ ุช .. ุชุฒู‡ุฑ ู„ู„ุดู…ุณ ูŠุนู†ูŠ ูˆ ุชู†ู…ูˆุง ุฃูƒุชุฑุŒ ู„ุฅู† ู‡ุฐู‡
1420
+
1421
+ 356
1422
+ 00:35:02,170 --> 00:35:07,910
1423
+ ูƒุงู†ุช ู…ุฎุจูŠุงู‡ุงุŒ ุงู„ู†ุจุงุชุงุช ุงู„ู„ูŠ ..ุฒูŠ ุจู‚ู‰ุŒ ู…ุฏุงู… ุงู„ููƒุฑุฉ
1424
+
1425
+ 357
1426
+ 00:35:07,910 --> 00:35:12,910
1427
+ ูˆุตู‘ุช ููŠูƒุŒ ุงุญู†ุง ู…ูˆุงูู‚ูŠู† ูŠุนู†ูŠุŒ ู…ูˆุงูู‚ูŠู†ุŒ ุจุณ ุฃู†ุง ูƒู„
1428
+
1429
+ 358
1430
+ 00:35:12,910 --> 00:35:16,090
1431
+ ุนู„ู…ูŠ ุฅู† ุฃุดุฌุงุฑ ุงู„ุตู†ุงุจุฑ ุงู„ู„ูŠ ููŠ ุฃูˆุฑูˆุจุง ุนุดุงู† ุงู„ุฌูˆ
1432
+
1433
+ 359
1434
+ 00:35:16,090 --> 00:35:19,350
1435
+ ุจุงุฑุฏุŒ ูˆ ู‡ูŠ ุนูุดุฉ ูƒุชูŠุฑุŒ ุจู†ู‚ูˆู„ ููŠ ุงู„ู„ุบุฉ ุงู„ุนุงู…ูŠุฉุŒ ุนูุดุฉ
1436
+
1437
+ 360
1438
+ 00:35:19,350 --> 00:35:24,290
1439
+ ูƒุชูŠุฑุŒ ูˆ ูƒู„ ุนุจู‡ุง ู†ุงุดู ูˆ ุฅุดูŠุŒ ูู‡ู… ุจุชุฎู„ุตูˆุง ู…ู†ู‡ุงุŒ ู„ุฅู†
1440
+
1441
+ 361
1442
+ 00:35:24,290 --> 00:35:28,570
1443
+ ุนูˆุงู… ุงู„ุฌูˆ ู‡ู†ุงูƒ ู„ุง ุชุณุงุนุฏ ุนู„ู‰ ุฅุชุดุงุฑ ุงู„ุญุฑุงูŠู‚ุŒ ูุชุฌุฏุฏ
1444
+
1445
+ 362
1446
+ 00:35:28,570 --> 00:35:31,570
1447
+ ุจุฑุงุนู…ุง ููŠู…ุง ุจุนุฏุŒ ุฃู…ุง ุงู„ู…ุนู„ูˆู…ุฉ ุฃู†ุง ุงู„ุฃูˆู„ ู…ุฑุฉ
1448
+
1449
+ 363
1450
+ 00:35:31,570 --> 00:35:37,600
1451
+ ุฃุณู…ุนู‡ุงุŒ ุฃู†ุง ุดูƒุฑูƒ ุนู„ูŠู‡ุงู„ .. ุงู„ุญุดุงุฆุด ุชู„ู…ูˆ .. ู…ุชู‰
1452
+
1453
+ 364
1454
+ 00:35:37,600 --> 00:35:44,180
1455
+ ุชู„ู…ูˆ ุงู„ุญุดุงุฆุดุŸ ู…ุชู‰ ุชู„ู…ูˆ ุงู„ุญุดุงุฆุดุŸ ุนู†ุฏู…ุง ุชุณู…ุญ ุงู„ุฃู…ุทุงุฑ
1456
+
1457
+ 365
1458
+ 00:35:44,180 --> 00:35:49,960
1459
+ ุจู†ู…ูˆู‡ุง ุฃูˆ ู„ุงุชุณู…ุญ ุงู„ุฃู…ุทุงุฑ ุจู†ู…ูˆ ุงู„ุบุงุจุงุช .. ุจู†ู…ูˆ
1460
+
1461
+ 366
1462
+ 00:35:49,960 --> 00:35:55,620
1463
+ ุงู„ุบุงุจุงุช .. ุงู„ุญุดุงุฆุด ุนู†ุฏ ุงู„ุณูู†ุฉ .. ุจู†ุฎู„ุต ู…ู† ุงู„ุฃู‚ู„ูŠู…
1464
+
1465
+ 367
1466
+ 00:35:55,620 --> 00:36:04,230
1467
+ ุงู„ุบุงุจูŠููŠ ุงู„ุฏุงุฎู„ ุชู‚ู„ ุงู„ุฃู…ุทุงุฑ ูุชุจุฏุฃ ู†ู…ูˆ ุงู„ุณูุงู†ุฉ ุฃูˆ
1468
+
1469
+ 368
1470
+ 00:36:04,230 --> 00:36:11,200
1471
+ ุงู„ุญุดุงุดุŒ ุทุจุนุง ู‡ุฐู‡ ุงู„ุณูุงู†ุฉ ุฎุดู†ุฉูˆุฅู† ูƒุงู†ุช ุชุณุชุฎุฏู… ู„ู„ุฑุนูŠ
1472
+
1473
+ 369
1474
+ 00:36:11,200 --> 00:36:15,700
1475
+ ุทุจุนุง ูƒู…ูŠุฉ ุงู„ุฃู…ุทุงุฑ ุจูŠู†ู…ุง ุชุฎุชููŠ ุฎู„ุงู„ ุดู‡ูˆุฑ ุงู„ุดุชุงุก ู„ุฅู†
1476
+
1477
+ 370
1478
+ 00:36:15,700 --> 00:36:22,820
1479
+ ู†ูุณ ุงู„ุบุงุจุงุช ู„ุฅู† ููŠ ุนู†ุฏูŠ ูุตู„ ุงู„ุฌูุงู ุงู„ุณุจุงู†ุฉ ุทูˆู„ู‡ุง
1480
+
1481
+ 371
1482
+ 00:36:22,820 --> 00:36:27,720
1483
+ ู…ู† ู…ุชุฑูŠู† ู„ุชู„ุงุชุฉ ู…ุชุฑ ุทุจุนุง .. ู‡ุฐูŠ ุณุจุงู†ุฉ ุดุฌุฑูŠุฉ ..
1484
+
1485
+ 372
1486
+ 00:36:27,720 --> 00:36:33,520
1487
+ ู‚ู„ุชู„ูƒู… ู‚ุจู„ ู‡ูŠูƒ ุณุฌู†ุฉ ู…ุฎุจุฒุฉ ุณู†ุฉ ุฌุงูŠุฉ ุจูŠุตูŠ ุณุฌู†ูู…ุจุงู†ุง
1488
+
1489
+ 373
1490
+ 00:36:33,520 --> 00:36:38,600
1491
+ ุฅุฐุง ูƒุงู†ุช ุงู„ุนุดุงุจ ุฃุตู„ุง ู…ุฎูŠุฉ ู„ู„ุฌูˆ ุงู„ู…ุฏุงุฑูŠ ูู‚ุฏ ุฃุฒูŠู„ุช
1492
+
1493
+ 374
1494
+ 00:36:38,600 --> 00:36:42,740
1495
+ ู…ุณุงุญุงุช ุดุงุณุฑ ููŠ ู‡ุฐู‡ ุงู„ู…ุญู„ุฉ ุฌุฑุงุนุฉ ุงู„ู‚ุทู† ูˆุงู„ุฏุฑุงุฌ
1496
+
1497
+ 375
1498
+ 00:36:42,740 --> 00:36:48,560
1499
+ Steps ููŠ ู†ุทุงู‚ ุงู„ู…ุนุชุฏู„ ู…ู† ุชู„ุงุชูŠู† ุฅู„ู‰ ุงูŠู‡ุŸ ุงู„ุฑุจุนูŠู†
1500
+
1501
+ 376
1502
+ 00:36:48,560 --> 00:36:52,020
1503
+ ูˆู…ู† ุงู„ุฑุจุนูŠู† ู„ุฎู…ุณุฉ ูˆุฎู…ุณูŠู† ููŠ ุงู„ุฏุงุฎู„
1504
+
1505
+ 377
1506
+ 00:36:54,560 --> 00:37:01,320
1507
+ ุชู†ู…ูˆ ุงู„ุญุดุงุด ูˆุชุฎุชู„ู ุนู† ุงู„ุณูุงู†ุฉุŒ ุชุฎุชู„ู ู„ุฃู†ู‡ ู…ู†ุทู‚
1508
+
1509
+ 378
1510
+ 00:37:01,320 --> 00:37:06,640
1511
+ ู…ุนุชุฏูŠุŒ ู„ุงุŒ ูˆุงู„ุณูุงู†ุฉ ุงู„ steps ุฒูŠ ุงู„ุญุดูŠุด ุฃูˆ ุงู„ุดุนูŠุฑ
1512
+
1513
+ 379
1514
+ 00:37:06,640 --> 00:37:13,840
1515
+ ุฃูˆ ุงู„ู‚ู…ุญุŒ ุนุดุงุจ ู†ุงุนู…ุŒ ุนุดุงุจุชุณุชุฎุฏู… ู„ู„ุฑุงุนูŠ ุฃูŠุถู‹ุง ุฃุฒุงู„
1516
+
1517
+ 380
1518
+ 00:37:13,840 --> 00:37:19,280
1519
+ ุงู„ุฅู†ุณุงู† ู…ุณุงุญุงุช ุดุงุณุนุฉ ู„ูŠุญู„ ู…ุญู„ ุญุดุงุด ุงู„ุชู†ุฏุฑุฉ ููŠ
1520
+
1521
+ 381
1522
+ 00:37:19,280 --> 00:37:27,780
1523
+ ุงู„ุดู…ุงู„ ุงู„ู‚ุงุฑุฉ ุงู„ู„ูŠ ู‚ู„ู†ุง ุนู†ู‡ ุตูŠูู‡ ู‚ุตูŠุฑ ุดู‡ุฑูŠู† ุฐูˆุจุงู†
1524
+
1525
+ 382
1526
+ 00:37:27,780 --> 00:37:34,260
1527
+ ุงู„ุฌู„ูŠุฏ ูŠุนู…ู„ ุนู„ู‰ ู†ู…ูˆ ุงู„ุชุญุงู„ุจ ุงู„ุฌู„ูŠุฏ๏ฟฝ๏ฟฝุฉ ุงู„ู„ูŠ ุชุนูŠุด
1528
+
1529
+ 383
1530
+ 00:37:34,260 --> 00:37:35,820
1531
+ ุนู„ูŠู‡ุง ุญูŠูˆุงู†ุงุช ุงู„ุชู†ุฏุฑุฉ
1532
+
1533
+ 384
1534
+ 00:37:38,980 --> 00:37:43,240
1535
+ ู…ุงุดูŠุŸ ูˆู†ุดูˆู ุงู„ุณุญุงุฑูŠ ุจุงู„ู‚ุงุฑุฉุŒ ู‚ูˆู„ู†ุง ุชู„ุงุชูŠู† ููŠ ุงู„ู…ุฆุฉ
1536
+
1537
+ 385
1538
+ 00:37:43,240 --> 00:37:48,300
1539
+ ู…ู† ู…ุณุงุญุฉ ุงู„ู‚ุงุฑุฉ ุฅูŠู‡ุŸ ุณุญุงุฑูŠุŒ ู‡ู†ู‚ุณู… ุฅู„ู‰ ุณุญุงุฑูŠ ุญุงุฑุฉ
1540
+
1541
+ 386
1542
+ 00:37:48,300 --> 00:37:54,380
1543
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ู…ู†ุงุฎุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุซุงุฑ ุจุงู„ู‡ู†ุฏ ูˆุดุจู„ุช
1544
+
1545
+ 387
1546
+ 00:37:54,380 --> 00:37:58,820
1547
+ ุฅุณูŠุฑุฉ ุงู„ุนุฑุจูŠุฉุŒ ุทุจุนุง ู‡ู„ ููŠุด ููŠู‡ู… ู†ุจุงุชุŸ ู„ุง ููŠู‡ู… ู†ุจุงุช
1548
+
1549
+ 388
1550
+ 00:37:58,820 --> 00:38:03,660
1551
+ ุตุญุฑุงูˆูŠุงู„ู†ุจุงุช ุงู„ุตุญุฑุงูˆูŠ ุทุจุนุง ูŠุชุญุงูŠู„ ุฒูŠ ุงู„ู†ุจุงุช
1552
+
1553
+ 389
1554
+ 00:38:03,660 --> 00:38:09,780
1555
+ ุงู„ู…ุชูˆุณุท ุนู„ู‰ ุงู„ุฌูุงูุŒ ุฅู…ุง ุฎุงุฒู† ู„ู„ู…ุงุก ุฒูŠ ุงู„ุตุจุฑุŒ ูŠุนู†ูŠ
1556
+
1557
+ 390
1558
+ 00:38:09,780 --> 00:38:15,120
1559
+ ุชุนุงู„ูŠ ุดูˆู ุนู†ุฏู‰ ููŠ ุบุฒุงู† ุฃูƒุชุฑ ู…ู†ุทู‚ุฉ ุชุฒุฑุน ุตุจุฑ ูˆูŠู†ุŸ ููŠ
1560
+
1561
+ 391
1562
+ 00:38:15,120 --> 00:38:21,120
1563
+ ุฑูุญ ู„ุฃู† ู…ู†ุงุฎู‡ุง ุดุจู‡ ุตุญุฑุงูˆูŠุŒ
1564
+
1565
+ 392
1566
+ 00:38:21,120 --> 00:38:23,460
1567
+ ูุจุฏูŠู†ุง ุงู„ุตุจุฑ ูƒู„ู‡ ู…ู† ุงู„ุฌู†ูˆุจ
1568
+
1569
+ 393
1570
+ 00:38:25,870 --> 00:38:30,390
1571
+ ุงู…ุชุตุงุต ู…ุง ุชุญุชุงุฌู‡ ู…ู† ุงู„ู†ุฏู‰ ู„ุฃู† ูƒุซูŠุฑ ู…ู† ุงู„ุจุฎุงุฑ ุงู„ู…ุงุก
1572
+
1573
+ 394
1574
+ 00:38:30,390 --> 00:38:33,610
1575
+ ุงู„ุนุงู„ู‚ ููŠ ุงู„ู‡ูˆุงุก ูŠุชุญูˆู„ ููŠ ุงู„ู„ูŠู„ ู…ุน ุงู†ุฎูุงุถ ุฏุฑุฌุฉ
1576
+
1577
+ 395
1578
+ 00:38:33,610 --> 00:38:40,590
1579
+ ุงู„ุญุฑุงุฑุฉ ุฅู„ู‰ ู‚ุทุฑุงุช ู†ุฏู‰ ุจูŠู…ุชุตู‡ุง ุงู„ู†ุจุงุช ุฒูŠุงุฏุฉ ุงู„ู…ุฌู…ูˆุน
1580
+
1581
+ 396
1582
+ 00:38:40,590 --> 00:38:44,390
1583
+ ุงู„ุฌุฒุฑูŠ ุนุดุงู† ุชุงุฎุฏ ูƒู„ ุงู„ุฑุทูˆุจุฉ ุงู„ู„ูŠ ููŠู‡ ููŠ ุงู„ุฃุฑุถ
1584
+
1585
+ 397
1586
+ 00:38:44,390 --> 00:38:47,690
1587
+ ุชุจุงุนุฏ
1588
+
1589
+ 398
1590
+ 00:38:47,690 --> 00:38:55,150
1591
+ ุงู„ู†ุจุงุชุงุช ุนู† ุจุนุถู‡ุง ุงู„ุจุนุถูˆู‚ุจู„ ุฐู„ูƒ ู‚ู„ุชู„ูƒู… ู…ุซู„ ุงู„ุดุฌุฑุฉ
1592
+
1593
+ 399
1594
+ 00:38:55,150 --> 00:39:04,150
1595
+ ุจุชู‚ูˆู„ ุฎุฏ ุฃุฎุชูŠ ุนู†ูŠ ู‚ู„ุช ู‡ุฐุง ุงู„ู…ุซุงู„ุŸ ู‡ุฌูŠุช ุงู„ุดุฌุฑ ู„ุงุฒู…
1596
+
1597
+ 400
1598
+ 00:39:04,150 --> 00:39:09,570
1599
+ ู†ุฒุฑุน ู…ุชุจุงุนุฏ ุนู† ุจุนุถู‡ ุงู„ู…ุซู…ุฑ ุจุงู„ุฐุงุช ูุงู„ุดุฌุฑุฉ ุจุชู‚ูˆู„
1600
+
1601
+ 401
1602
+ 00:39:09,570 --> 00:39:14,390
1603
+ ุงุจุนุฏ ุฃุฎุชูŠ ุนู†ูŠ ูˆ ุฎุฏ ุญู…ู„ู‡ุง ู…ู†ูŠ ูŠุนู†ูŠ ุนุดุงู† ุชูƒุงุซู ุจุญุช
1604
+
1605
+ 402
1606
+ 00:39:14,390 --> 00:39:20,290
1607
+ ู…ู† ู‚ุถูŠุฉ ุงู„ุฅู†ุชุงุฌ ุงู„ุณุญุงุฑ ุงู„ู…ุนุชุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ูˆุฌูˆุฏุฉ
1608
+
1609
+ 403
1610
+ 00:39:20,290 --> 00:39:23,990
1611
+ ููŠ ุงู„ู†ุทุงู‚ ุงู„ู…ุชุฒู…ุฉุงู„ุตุญุงุฑ ุงู„ุจุงุฑุฏ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฌู„ุฏูŠุฉุŒ
1612
+
1613
+ 404
1614
+ 00:39:23,990 --> 00:39:29,170
1615
+ ู„ูŠู‡ุŸ ุงู„ุฌู„ุฏูŠุฉุŒ ู†ุจุงุชุงุช ุงู„ุฌุจุงู„ุŒ ู†ุจุงุชุงุช ุงู„ุฌุจู„ ุจุงู„ุธุจุท
1616
+
1617
+ 405
1618
+ 00:39:29,170 --> 00:39:35,030
1619
+ ุฒูŠ ุงู„ุทุจูŠุนุฉ ูƒู„ู…ุง ุงุฑุชูุนู†ุง ุฅู„ู‰ ุฃุนู„ู‰ ุชุฎู„ุท ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
1620
+
1621
+ 406
1622
+ 00:39:35,030 --> 00:39:40,010
1623
+ ูˆุจุงู„ุชุงู„ูŠ ุชู†ู…ูˆ ู†ุจุงุชุงุช ุญุณุจ ุฏุฑุฌุฉ ุญุชู‰ ู†ุตู„ ุฅู„ู‰ ุฎุท ุงู„ุซู„ุฌ
1624
+
1625
+ 407
1626
+ 00:39:40,010 --> 00:39:46,760
1627
+ ุงู„ุฏุงุฆู… ูˆุงู„ู„ูŠ ุจุชุฏูˆุจ ุชู†ู…ูˆ ููŠ ุทุญุงู„ุจ ุงู„ุฌู„ุฏูŠุฉู…ุงุฐุง ุจู‚ู‰
1628
+
1629
+ 408
1630
+ 00:39:46,760 --> 00:39:51,740
1631
+ ู†ุฑุณู… ุงู„ุฎุฑูŠุทุฉ ุจุชุงุนุฉ ุงู„ู†ุจุงุช ุนู„ุดุงู† ู…ุงู†ู„ุงู‚ูŠุด ููŠู‡ุง ุฅูŠุด
1632
+
1633
+ 409
1634
+ 00:39:51,740 --> 00:40:03,100
1635
+ ุตุนูˆุจุฉ ุตุญุŸ ู…ุงุดูŠุŸ ุงู†ุชุจู‡ูˆุง ุฌูŠุฏุง ู†ุฑุณู… ุงู„ุฎุฑูŠุทุฉ ู‡ุงูŠ
1636
+
1637
+ 410
1638
+ 00:40:03,100 --> 00:40:11,800
1639
+ ุงู„ุจุญุฑ ุงู„ุฅูŠุดุŸ ุงู„ุฃุญู…ุฑ ู‚ุงุณูŠุฉ
1640
+
1641
+ 411
1642
+ 00:40:11,800 --> 00:40:12,700
1643
+ ุนู„ุดุงู†
1644
+
1645
+ 412
1646
+ 00:40:15,450 --> 00:40:23,350
1647
+ ู†ูˆุถุญ ุงู„ุฃู‚ุงู„ูŠู… ุงู„ู…ู†ุงุฎูŠุฉ ุตุญุŸ ุทูŠุจ
1648
+
1649
+ 413
1650
+ 00:40:23,350 --> 00:40:32,790
1651
+ ุฎู„ูŠู†ุง ู‡ุฐู‡ ุงู„ุฃูˆู„ ูˆ ู†ุฑุณู… ุงู„ุฎุฑูŠุทูŠู† ู…ุน ุจุนุถ ูŠุนู†ูŠ ู‡ุงูŠ
1652
+
1653
+ 414
1654
+ 00:40:32,790 --> 00:40:41,770
1655
+ ุงู„ุจุญุฑ ุงู„ุฃุญู…ุฑ ูุงู„ุทูŠุจ ู…ุชูˆุงุฒูŠ ุฃูŠู‡ุŸ ุดูˆู‡ุง ุฏู‡ุŸ ุงู„ู
1656
+
1657
+ 415
1658
+ 00:40:41,770 --> 00:40:48,150
1659
+ ูƒูŠู„ูˆู…ุชุฑ ุทูˆู„ุงู„ุจุญุฑ ุงู„ุฃุญู…ุฑ ุฃู„ููŠู† ูƒูŠู„ูˆู…ุชุฑุŒ ุงู„ู‡ู†ุฏ ุฌุฏุงุด
1660
+
1661
+ 416
1662
+ 00:40:48,150 --> 00:40:54,290
1663
+ ู…ุณุงุญุชู‡ุง ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ ู…ู„ูŠูˆู† ู…ูŠู„ุŒ ู†ูŠุฌูŠ ู„ู„ู…ุงู„ูŠุฒูŠุงุŒ
1664
+
1665
+ 417
1666
+ 00:40:54,290 --> 00:41:00,690
1667
+ ู…ู‡ุงุชูŠุฑ ู…ุญู…ุฏุŒ ุญุจุฒุฉ ู„ูˆ ุงุชุญุดู… ุฃุฏู…ุบุงุชูƒู… ุจุนู„ู… ุจูŠุซุฑ
1668
+
1669
+ 418
1670
+ 00:41:00,690 --> 00:41:06,100
1671
+ ุงู„ู…ุงุฏุฉ ุงู„ุนู„ู…ูŠุฉุŒ ูƒู„ ู…ูˆู‚ู ุชูŠุฌูŠ ููŠ ุนู†ุฏู‡ ุชุญูƒูŠุฅุฏู‘ูˆุง
1672
+
1673
+ 419
1674
+ 00:41:06,100 --> 00:41:12,440
1675
+ ู…ุนู„ูˆู…ุฉ ุฎุงุทูุฉ ูƒุฏู‡ุŒ ู…ุงุดูŠุŸ ุฌุงูˆุฉุŒ ุณูˆู…ุงุชุฑุงุŒ ุงู„ูู„ุจูŠู†ุŒ ุฎุท
1676
+
1677
+ 420
1678
+ 00:41:12,440 --> 00:41:16,920
1679
+ ุงู„ุงุณุชูˆุงุก ููŠ ู†ุต ุฌุงูˆุฉ ุจุงู„ุธุจุท ูŠุง ุจู†ุงุชูŠุŒ ููŠ ู†ุต ุฌุงูˆุฉ
1680
+
1681
+ 421
1682
+ 00:41:16,920 --> 00:41:20,060
1683
+ ุทูŠุจุŒ
1684
+
1685
+ 422
1686
+ 00:41:20,060 --> 00:41:25,940
1687
+ ููŠุชู†ุงู…ุŒ curve ุตุบูŠุฑุŒ ุซู… ุงู„ุตูŠู† curve ูƒุจูŠุฑุŒ ุซู… ูƒูˆุฑูŠุงุŒ
1688
+
1689
+ 423
1690
+ 00:41:25,940 --> 00:41:31,280
1691
+ ุงูˆู‡ ูˆู„ุนุช ูƒูˆุฑูŠุงุŒ ุฏูŠ ุงู„ุณู†ุฉ ูƒุงู†ุช ุฌูˆู„ุฉ ููŠ ุงู„ 52 ูˆ 51ุŒ
1692
+
1693
+ 424
1694
+ 00:41:31,280 --> 00:41:34,160
1695
+ ูˆู„ุนุช ูƒูˆุฑูŠุงุŒ ุจูŠู† ูƒูˆุฑูŠุง ุงู„ุดู…ุงู„ูŠุฉ ูˆ ูƒูˆุฑูŠุง ุงู„ุฌู†ูˆุจูŠุฉ
1696
+
1697
+ 425
1698
+ 00:41:35,030 --> 00:41:39,470
1699
+ ู„ู„ูŠูˆู… ุงู„ู…ุซู„ ุนู†ุฏู†ุง ุงูŠ ุงู‚ุชู„ ูˆูˆู„ุนุช ูƒูˆุฑูŠุง ู…ู† ู‡ู†ุง ุญุฑุจ
1700
+
1701
+ 426
1702
+ 00:41:39,470 --> 00:41:42,530
1703
+ ุงู„ูƒูˆุฑูŠุฉ ุชุงูŠู†ุŒ ู„ู„ูŠูˆู… ููŠ ุญุฑุจ ุจูŠู† ุงู„ุดู…ุงู„ ูˆ ุงู„ุฌู†ูˆุจ
1704
+
1705
+ 427
1706
+ 00:41:42,530 --> 00:41:48,110
1707
+ ุงู„ุฌู†ูˆุจ ู…ุญุชู„ ู…ู† ุฃู…ุฑูŠูƒุง ูˆุงู„ุดู…ุงู„ ุทุจุนุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‚ุถูŠุฉ
1708
+
1709
+ 428
1710
+ 00:41:48,110 --> 00:41:52,350
1711
+ ุงู„ู†ูˆูˆูŠุฉ ู‡ุฐู‡ ูู‡ู…ุชูˆุงุŸ
1712
+
1713
+ 429
1714
+ 00:41:52,350 --> 00:41:58,710
1715
+ ุทูŠุจ ู†ุทู„ุน ููˆู‚ุŒ ุฅูŠุด ุจู†ู„ุงู‚ูŠ ู‡ุงุฏูŠู†ุŸ ูƒู…ูŠุชุดูŠูƒุง ุจู†ุฎู„ุต
1716
+
1717
+ 430
1718
+ 00:41:58,710 --> 00:42:06,590
1719
+ ู„ู…ุถูŠู‚ ุฅูŠุด ุงุณู…ู‡ ู‡ู†ุงุŸ ุจุงุฑู†ุฌุŒ ู…ุถูŠู‚ ุจุงุฑู†ุฌู†ุฌูŠ ู„ู…ูŠู†ุŸ
1720
+
1721
+ 431
1722
+ 00:42:06,590 --> 00:42:11,650
1723
+ ู„ู„ุงู†ุงุฏูˆู„ ุงู„ู„ูŠ ุญุงูƒูŠู†ุง ุนู†ู‡ุง ุงุฏู‰ ุดูˆ ู‡ุฐุงุŸ ู…ุถูŠู‚
1724
+
1725
+ 432
1726
+ 00:42:11,650 --> 00:42:16,410
1727
+ ุงู„ุจุณูุงุฑุฉุŒ ู…ุงุฑู…ุฑุงุŒ ุงู„ุฏุฑุฏุงู†ูŠู„ุŒ ุทุจุนุง ู…ุงุฑู…ุฑุง ู…ุนุฑูˆู ุดูˆ
1728
+
1729
+ 433
1730
+ 00:42:16,410 --> 00:42:24,550
1731
+ ู‡ูˆุŸ ุงู„ู„ูŠ ู…ุญุจูˆุณ ููŠ ู…ูŠู†ุŸ ู‚ุงุนุฏ ุงู„ุชูˆุฑุง ุงู„ูƒุฑุฏูŠุฉุŒ
1732
+
1733
+ 434
1734
+ 00:42:24,550 --> 00:42:29,270
1735
+ ุนุจุฏุงู„ู„ู‡ ุฌูˆู„ุงู†ุŒ ุนุจุฏุงู„ู„ู‡ ู…ุณุงุญุชู‡ ุฃู„ู ูƒูŠู„ูˆู…ุชุฑ ุฒูŠ ุงู„ุจุญุฑ
1736
+
1737
+ 435
1738
+ 00:42:29,270 --> 00:42:34,670
1739
+ ุงู„ู…ูŠุช ุนู†ุฏ ูู„ุณุทูŠู†ุขู‡ ุงู„ู‚ุฑู…ุŒ ุขู‡ ุงู„ู‚ุฑู… ู‡ุฏูŠ ุฒุงุจุทุฉ ูƒุชูŠุฑ
1740
+
1741
+ 436
1742
+ 00:42:34,670 --> 00:42:40,830
1743
+ ู…ุนุงูŠุง ุงู„ู‚ุฑู… ุฃู†ุง ู‡ุฏูŠู‡ ุฃูƒูŠุฏ ุชุนุฑููŠู†ุง ุญุฑุจ ุงู„ู‚ุฑู… ุงู„ู„ูŠ
1744
+
1745
+ 437
1746
+ 00:42:40,830 --> 00:42:43,870
1747
+ ุงู†ุชุตุฑ ููŠู‡ุง ู…ุญู…ุฏ ุนู„ูŠ ุนู„ู‰ ุฏูŠูˆุด ุงู„ุฃูˆุฑูˆุจูŠุฉ ููŠ ุนู‚ุฑ
1748
+
1749
+ 438
1750
+ 00:42:43,870 --> 00:42:49,010
1751
+ ุฃูˆุฑูˆุจุง ูˆุฏูƒุงุฐุจุช
1752
+
1753
+ 439
1754
+ 00:42:49,010 --> 00:42:51,970
1755
+ ุนู„ูŠู‡ ุงู„ุฏูˆู„ ุงู„ุฃูˆุฑูˆุจูŠุฉ ู…ุฑุฉ ุฃุฎุฑู‰ ูˆุฏู…ุฑ ุงู„ุฃุณุทูˆู„ ุชุจุนู‡
1756
+
1757
+ 440
1758
+ 00:42:51,970 --> 00:42:59,190
1759
+ ูˆุงู†ุชู‡ุช ุจุตู„ุญ ูƒูˆุชุงู‡ูŠุง ูˆุจุฏุฃุช
1760
+
1761
+ 441
1762
+ 00:42:59,190 --> 00:43:00,970
1763
+ ุงู„ุฎู„ุงูุงุช ู…ุน ุงู„ุณู„ุทุงู† ุงู„ุนุซู…ุงู†ูŠ
1764
+
1765
+ 442
1766
+ 00:43:04,220 --> 00:43:08,800
1767
+ ุดูˆ ุฏู‡ ุจุญุฑ ู‚ุฒูˆูŠู„ ุจุญุฑ ู‚ุฒูˆูŠู„ ู†ุฌูŠ ู„ู„ุฃู‚ุงู„ูŠู… ุงู„ู…ู†ุงุฎูŠุฉ
1768
+
1769
+ 443
1770
+ 00:43:08,800 --> 00:43:19,060
1771
+ ู‚ูˆู„ู†ุง ู‡ุงูŠ ูˆุงุญุฏ ุงู„ุงุณุชูˆุงุฆูŠ ุงู†ุง ู‡ู‚ูˆู„ ูˆุงุญุฏ ู†ุฌูŠ
1772
+
1773
+ 444
1774
+ 00:43:19,060 --> 00:43:25,980
1775
+ ู„ู„ุดูƒู„ ู‡ุงูŠ ุฎู…ุณุฉ ุดู…ุงู„ุง ูˆุฎู…ุณุฉ ุฌู†ูˆุจุง ูˆุงุญุฏ ูˆู„ุง ู…ุณุชุญูŠู„ุŸ
1776
+
1777
+ 445
1778
+ 00:43:25,980 --> 00:43:29,000
1779
+ ุฎู„ุตู†ุง
1780
+
1781
+ 446
1782
+ 00:43:29,000 --> 00:43:32,500
1783
+ ุงุชู†ูŠู†
1784
+
1785
+ 447
1786
+ 00:43:33,550 --> 00:43:51,690
1787
+ ุงู„ู…ุฏุงุฑูŠ ุตุญุŸ ู‡ุงูŠ ุงุชู†ูŠู† ุดุงูŠููŠู†ุŸ
1788
+
1789
+ 448
1790
+ 00:43:51,690 --> 00:43:55,890
1791
+ ุบูŠุฑ
1792
+
1793
+ 449
1794
+ 00:43:55,890 --> 00:44:05,650
1795
+ ูŠู…ู†ุŒ ู„ูŠุด ู„ุฃุŸ ุงุชู†ูŠู†ู…ู† ุฎู…ุณุฉ ุฅู„ู‰ ุทู…ู†ุชุงุด ู‡ุฐู‡ ุฎู…ุณุฉ ุฅู„ู‰
1796
+
1797
+ 450
1798
+ 00:44:05,650 --> 00:44:11,150
1799
+ ุทู…ู†ุชุงุด ู‡ุฐู‡ ุทู…ู†ุชุงุด ุดู†ู†ุง ููŠ ู…ุฏุงุฑ ุงู„ุณู„ุทุงู† ุงู„ุขู† ูˆู…ุฏุงุฑ
1800
+
1801
+ 451
1802
+ 00:44:11,150 --> 00:44:17,330
1803
+ ุงู„ุฌุฏู„ ุงู„ุขู† ู…ู† ุฎู…ุณุฉ ุฅู„ู‰ ุงูŠู‡ุŸ ุทู…ู†ุชุงุด ุดู…ุงู„ุฉ ูˆุฌู†ุจู‡ุงุŒ
1804
+
1805
+ 452
1806
+ 00:44:17,330 --> 00:44:24,150
1807
+ ู‡ุฐู‡ ู…ุฏุงุฑุŒ ุงุชู†ูŠู† ุฎู„ูŠู†ูŠ
1808
+
1809
+ 453
1810
+ 00:44:24,150 --> 00:44:34,770
1811
+ ุนู„ู‰ ุงู„ุดู…ุงู„ ุจุณุŒ ู…ุงุดูŠุŸ ุทูŠุจุŒ ุชู„ุงุชุฉุงู‡ ุจุญุฑ ู…ุชูˆุณุท ุตุญุŸ
1812
+
1813
+ 454
1814
+ 00:44:34,770 --> 00:44:40,710
1815
+ ู‡ุงูŠ ุงู„ุจุญุฑ ู…ุชูˆุณุทุŒ ู‡ุงูŠ ุชู„ุงุชุฉ
1816
+
1817
+ 455
1818
+ 00:44:40,710 --> 00:44:46,710
1819
+ ูˆู„ุง
1820
+
1821
+ 456
1822
+ 00:44:46,710 --> 00:44:55,450
1823
+ ู„ุงุŸ ุฃุฑุจุนุฉ ุงู„ุตูŠู†ูŠ ุตุญุŸ ู‡ุงูŠ ุฃุฑุจุนุฉ
1824
+
1825
+ 457
1826
+ 00:45:04,250 --> 00:45:09,530
1827
+ ูˆุงุญู†ุง ุดูู†ุง ุฅู† ุงู„ุตูŠู†ูŠ ุฃูƒุชุฑ ู…ู† ูˆูŠู‡ุŸ ู…ู† ุชู„ุงุชุฉุŒ ุตุญุŸ ุทุจ
1828
+
1829
+ 458
1830
+ 00:45:09,530 --> 00:45:14,890
1831
+ ู„ูŠุด ุฃู†ุง ู…ุงู‚ู„ุชุด ุชู„ุงุชุฉ ุงุชุดุฌุช ุชุงู†ูŠุฉุŸ ู…ุงุฏุงู… ุงู„ุชู†ููŠ ุฏู‡
1832
+
1833
+ 459
1834
+ 00:45:14,890 --> 00:45:20,230
1835
+ ูˆุฑุง ุนุฑุถ ู…ุงูƒุงู†
1836
+
1837
+ 460
1838
+ 00:45:20,230 --> 00:45:26,450
1839
+ ุญุทูŠุช ุชู„ุงุชุฉ ุฃู„ู ูˆุชู„ุงุชุฉ ุจุงู‡ุŒ ุตุญุŸ ู„ูƒู† ุญุทูŠู†ุง ุงู„ุชุตู†ูŠู
1840
+
1841
+ 461
1842
+ 00:45:26,450 --> 00:45:30,910
1843
+ ุงู„ู„ูŠ .. ุงู„ู„ูŠ ุงุญู†ุง ุจุชุดูˆูู‡ ุงู„ูƒุชุจ ุชู„ุงุชุฉ ูˆุงุฑุจุนุฉุŒ ู„ุฃู†ู‡
1844
+
1845
+ 462
1846
+ 00:45:30,910 --> 00:45:37,160
1847
+ ุฃุฑุจุนุฉ ุจูŠุฎุชู„ู ุชู…ุงู…ุง ุนู†ููŠ ุงู„ุธุฑูˆู ูˆ ู„ุง ู„ุง ููŠ ุงู„ุธุฑูˆู
1848
+
1849
+ 463
1850
+ 00:45:37,160 --> 00:45:40,560
1851
+ ู…ุด ุงุญู†ุง ุจูŠู‚ูˆู„ูˆุง ุงู„ุฎูˆุงุชุจ ุชู†ุชู‚ู„ ู„ุง ู„ุง ุจุฎุชู„ููˆุง ุนู† ุจุนุถ
1852
+
1853
+ 464
1854
+ 00:45:40,560 --> 00:45:46,500
1855
+ ูˆู„ุง ู…ุด ุตุญูŠุญ ู†ูุณ ุงู„ูƒู„ุงู… ุจุงู„ู†ุณุจุงู„ูŠ ุทูŠุจ ู…ู† ุชู…ู†ุชุงุด
1856
+
1857
+ 465
1858
+ 00:45:46,500 --> 00:45:54,240
1859
+ ู„ุงุชู„ุงุชูŠู† ูˆ ู…ู† ุชู„ุงุชูŠู† ู„ุงุฑุจุนูŠู† ู‡ุงูŠ ู‡ุงูŠ ู†ู…ุดูŠู†ุง ู‡ุฐุง ูƒู„
1860
+
1861
+ 466
1862
+ 00:45:54,240 --> 00:46:00,960
1863
+ ุงู„ูƒู„ุงู… ู‡ุงูŠู†ุง ุฌุณู…ู†ุง ุฌุณู…ูŠู† ุชู„ุงุชุฉ ุฃุฑุจุนุฉ
1864
+
1865
+ 467
1866
+ 00:46:04,330 --> 00:46:08,810
1867
+ ูˆู„ุง ู„ุง ูŠุง ุจู†ุงุชุŸ ุทูŠุจ ู…ู† ุชู…ุชุงุดุฑ ุชู„ุงุชูŠู† ุฅูŠุด ุนู…ู„ู†ุงู‡ุง
1868
+
1869
+ 468
1870
+ 00:46:08,810 --> 00:46:16,510
1871
+ ุฒู…ุงู†ุŸ ู‚ูˆู„ู†ุง ุงู…ุชุฏุงุฏ ู„ู„ู…ุฏุงุฑูŠุŒ ุตุญุŸ ู‡ุงู‡ุŸ ุฅุฐุง ู‡ุฐู‡
1872
+
1873
+ 469
1874
+ 00:46:16,510 --> 00:46:23,850
1875
+ ุงู„ู…ู†ุทู‚ุฉ ุฅูŠุด ุนู…ู„ู‡ุงุŸ ุฅุชู†ูŠู† ูู‡ู…ุชูˆุงุŸ
1876
+
1877
+ 470
1878
+ 00:46:23,850 --> 00:46:27,370
1879
+ ุฎู…ุณุฉ
1880
+
1881
+ 471
1882
+ 00:46:27,370 --> 00:46:31,310
1883
+ ู…ุฎุฑูˆุทูŠ
1884
+
1885
+ 472
1886
+ 00:46:33,350 --> 00:46:37,730
1887
+ ุฃูŠู‡ุŸ ุดูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ ุงู„ู…ุฎุฑูˆุท ุฃูŠู‡ุŸ ุฎู…ุณุฉุŒ ู„ูƒู† ุจุฏูŠุด ู‡ุฏูŠ
1888
+
1889
+ 473
1890
+ 00:46:37,730 --> 00:46:43,890
1891
+ ุงู„ู…ุฎุฑูˆุทุŒ ุจุฏูŠ ู‡ุฏูŠ ุดูƒู„ ุงู„ู…ุฎุฑูˆุท ุชุจุนู‡ ู…ุดูƒู„ุฉ
1892
+
1893
+ 474
1894
+ 00:46:43,890 --> 00:46:48,770
1895
+ ุงู„ู…ุฎุฑูˆุท ุฃูŠู‡ุŸ ู‡ูŠูƒ
1896
+
1897
+ 475
1898
+ 00:46:48,770 --> 00:46:51,630
1899
+ ูˆู„ุง ู„ุงุŸ ู‡ุง ู‡ูŠ ุฎู…ุณุฉ
1900
+
1901
+ 476
1902
+ 00:47:06,490 --> 00:47:15,910
1903
+ ุทูŠุจ ุถุงูŠู‚ ุดูŠุกุŸ ุงู‡ ุดูˆ ุถุงูŠู‚ูŠู†ุŸ ุณุชุฉ ุงู„ู†ูุถูŠูŠู† ู…ุงุดูŠุŸ ู‡ุงูŠ
1904
+
1905
+ 477
1906
+ 00:47:15,910 --> 00:47:27,350
1907
+ ุณุชุฉ ุจุนุฏ ุงู„ุตูŠู† ูƒูˆุฑูŠุง ุงู„ูŠุงุจุงู† ุทุจุนุง ูˆูŠู†
1908
+
1909
+ 478
1910
+ 00:47:27,350 --> 00:47:34,870
1911
+ ู†ูŠุฌูŠ ูŠุง ุจู†ุงุชุŸ ุจู†ุง ู†ูŠุฌูŠ ู‡ุงู† ุดูˆุŸ
1912
+
1913
+ 479
1914
+ 00:47:34,870 --> 00:47:43,690
1915
+ ุงู‡ุŸู‡ูŠ ู„ูŠู†ุฌุฑุงุฏ ู‡ู†ุงุŒ ุณุชุฉุŒ ู‡ู‰ ุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑู‰ุŒ ู‡ู‰
1916
+
1917
+ 480
1918
+ 00:47:43,690 --> 00:47:50,210
1919
+ ุงู„ุบุฑุจ ุงู„ุณูŠุจูŠุฑู‰ุŒ ุฎู„ุตู†ุง ุฅูŠุดุŸ ุงู„ุบุงุจุงุชุŒ ู†ูŠุฌูŠ ู„ู‚ู„ุจ
1920
+
1921
+ 481
1922
+ 00:47:50,210 --> 00:48:01,630
1923
+ ุงู„ู‚ุงุฑุฉุŒ ุจุชู‚ูˆู„ ุฃู†ุง ุฅูŠุดุŸ ุณุจุงู†ุฉู„ูŠู‡ ุณุจุงู†ุฉุŸ ู„ุฃู† ูƒู„ ู…ุง
1924
+
1925
+ 482
1926
+ 00:48:01,630 --> 00:48:06,350
1927
+ ุชุบู„ู†ุง ููŠ ุงู„ุฏุงุฎู„ ุดูˆ ุชู‚ู„ ุงู„ุฃู…ุทุงุฑุŒ ู„ุง ุชุณู…ุญ ุจู†ู…ูˆ ุบุจุทุŒ
1928
+
1929
+ 483
1930
+ 00:48:06,350 --> 00:48:10,070
1931
+ ู„ู…ุง ุชุณู…ุญ ุจู†ู…ูˆุŒ ูˆ ู„ู…ุง ูƒุงู† ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ ุจูƒู„ ุญุงุฑุŒ
1932
+
1933
+ 484
1934
+ 00:48:10,070 --> 00:48:14,090
1935
+ ูุงู„ู†ุจุงุชุงุช ู‡ูŠ ุญุงุฑุฉุŒ ูˆ ู…ุฏุงู… ู‚ุงู„ ู†ูˆุน ุงู„ู†ุจุงุชุงุช ููŠ
1936
+
1937
+ 485
1938
+ 00:48:14,090 --> 00:48:22,070
1939
+ ุงู„ุญุงุฑุฉ ูู‡ูŠ ุฅูŠู‡ุŒ ุจุณุŒ ู‡ุงูŠ ุณุจุงู†ุฉุŒ ุณุจุงู†ุฉุŒ
1940
+
1941
+ 486
1942
+ 00:48:22,070 --> 00:48:26,130
1943
+ ุณุจุงู†ุฉุŒ ู„ูˆ ุฃูƒุชุดุŒ ู„ุฃ ุฎู„ุงุต ู…ุนูŠู†ุŒ ู‡ุงูŠ ุณุจุงู†ุฉ
1944
+
1945
+ 487
1946
+ 00:48:29,970 --> 00:48:35,670
1947
+ ุฎู„ุตู†ุง ุงู„ seven ุทูŠุจ ู…ู† ุชู„ุงุชูŠู† ู„ุงุฑุจูŠู† ู‡ุงูŠู† ุดุงูŠููŠู†
1948
+
1949
+ 488
1950
+ 00:48:35,670 --> 00:48:42,170
1951
+ ู‡ุงูŠ ุชู„ุงุชูŠู† ุฏู‡ ูˆุฑุง ุงู„ุนุฑุถ ุฎู„ุตู†ุง ู‡ุงู† ุทุจ ู‡ุฐุง ุงูŠุด ู‡ูˆ ุงุณ
1952
+
1953
+ 489
1954
+ 00:48:42,170 --> 00:48:55,990
1955
+ ุชุจุณ ูˆู„ุง ู„ุง ู‡ ุงุณ ุชุจุณ ุทุจ ูˆ ุงู„ู„ูŠ ู‡ู†ุง ุจุณ
1956
+
1957
+ 490
1958
+ 00:48:55,990 --> 00:48:59,450
1959
+ ู„ุฃ ูƒู…ุงู† ู‡ู†ุง ุชู†ุฏุฑุฉ
1960
+
1961
+ 491
1962
+ 00:49:14,660 --> 00:49:16,560
1963
+ ูˆ ูƒู…ุงู† honey steps ูŠุง ุจู†ุงุฏู‰
1964
+
1965
+ 492
1966
+ 00:49:49,590 --> 00:49:59,050
1967
+ ู…ุชูŠุฑ ุตุนุจุฉุŸ ุงู‡
1968
+
1969
+ 493
1970
+ 00:49:59,050 --> 00:50:04,610
1971
+ ูุงู‡ู…ูŠู† ุงู†ุง ู…ุด ูุงู‡ู…ูŠู†ุŸ
1972
+
1973
+ 494
1974
+ 00:50:04,610 --> 00:50:10,370
1975
+ ู„ู…ุง ุฌูŠู†ุง ุงู„ุณุคุงู„ุŒ ุงุฑุณู… ู‚ุงุฑูŠุทุฉ ุฃุณูŠุง ู…ูˆุถุญุง ุนู„ูŠู‡ุงุŒ
1976
+
1977
+ 495
1978
+ 00:50:10,370 --> 00:50:15,950
1979
+ ุชู‚ุฑูŠุจุง ุงุณุชูˆุงุฆูŠ ุจุฑุณู… ุงู„ู‚ุงุฑุฉุŒ ู…ูˆุถุญ ุนู„ูŠู‡ุง ุจุณ ุงุณุชูˆุงุฆูŠุŒ
1980
+
1981
+ 496
1982
+ 00:50:15,950 --> 00:50:22,150
1983
+ ุจุฑุณู… ุนู„ูŠู‡ุฃุฎุฏู… ุงู„ู…ู†ุงุฎูŠุฉ ูˆ ุฃุทู„ุน ุฃุฎุฏู… ุงู„ู†ุจุงุชูŠุฉ ูˆ ุฃุฑุณู…
1984
+
1985
+ 497
1986
+ 00:50:22,150 --> 00:50:27,410
1987
+ ุฒู‡ูŠุฑ ุตุนุจ ูƒุชูŠุฑ ูˆู„ุง ู…ุด ุตุนุจ ุงู†ุง ุฃู†ุง ู‡ุฌูŠุจ ููŠ ุงู„ุงู…ุชุญุงู†
1988
+
1989
+ 498
1990
+ 00:50:27,410 --> 00:50:34,490
1991
+ ุงู†ุง ู…ุฏุฑุฌุฉ ููŠ ุงู„ุงู…ุชุญุงู† ุจู„ูˆุฑุชูŠ ู„ุณู‡ ุนู„ู‰ู‡ู… ู„ูƒู† ู‡ูŠูƒูˆู†
1992
+
1993
+ 499
1994
+ 00:50:34,490 --> 00:50:40,810
1995
+ ููŠ ุชู„ุช ุฎุฑุงุฆุท ู…ูˆุถุน ุนู„ูŠู‡ู… ุจูŠุงู†ุงุช ุงู†ุง ู‡ูˆุถุนู‡ุง ูŠุนู†ูŠ ู„ู…
1996
+
1997
+ 500
1998
+ 00:50:40,810 --> 00:50:44,010
1999
+ ูŠุจู‚ู‰ ุงู„ุง ุงู† ุงู†ุง ุงุทุจุน ุงู„ุงู…ุชุญุงู† ูˆ ุงู‚ูˆู„ูƒู… ุงู†ุช ุชูุถู„ูˆุง
2000
+
2001
+ 501
2002
+ 00:50:44,010 --> 00:50:49,670
2003
+ ุงู„ groupุจู†ู‚ูˆู„ูƒูˆุง bye bye ู…ุน ุงู„ุณู„ุงู…ุŒ ุจุชูุนู„ุŒ ูŠุณุฑ ูˆู„ุง
2004
+
2005
+ 502
2006
+ 00:50:49,670 --> 00:50:59,110
2007
+ ุชุนุณุฑุŒ ุงุฌุฑูˆุง ุฃูˆู„ ุจุฃูˆู„ุŒ ููŠ ุญุฏ ู‚ุงุฏุฑ ุณูุณุงู†ุŸ ูˆุฅู„ู‰ ู„ู‚ุงุก
2008
+
2009
+ 503
2010
+ 00:50:59,110 --> 00:50:59,790
2011
+ ุขุฎุฑ
2012
+
PL9fwy3NUQKwZ3iK_Rs37EyfqgMSsqBUx4/kZhZkVZmLWQ_postprocess.srt ADDED
@@ -0,0 +1,1532 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:11,420 --> 00:00:15,580
3
+ ุจุณู… ุงู„ู„ู‡ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฑุณูˆู„ ุงู„ู„ู‡ ุงู„ูŠูˆู… ุงู†
4
+
5
+ 2
6
+ 00:00:15,580 --> 00:00:21,580
7
+ ุดุงุก ุงู„ู„ู‡ ู…ูˆุถูˆุนู†ุง ุฃุฎุตุงู… ุงู„ุชุฑุจุฉ ููŠ ู‚ุงุฑุฉ ุฃูˆุฑุงุณูŠุง ุงู†
8
+
9
+ 3
10
+ 00:00:21,580 --> 00:00:27,020
11
+ ูŠูุชุฑุถ ุงู† ูŠูƒูˆู† ููŠ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง ูˆููŠ ู‚ุงุฑุฉุฃุณูŠุง ู„ูƒู†
12
+
13
+ 4
14
+ 00:00:27,020 --> 00:00:34,740
15
+ ู„ู„ุชุญู…ู„ ุงู„ูƒุชู„ุชูŠู† ุงู„ูŠุงุจุณุชูŠู† ุงุฑุชู‚ูŠู†ุง ุงู† ุชูƒูˆู† ุงู„ุชุฑุจุฉ
16
+
17
+ 5
18
+ 00:00:34,740 --> 00:00:42,460
19
+ ู…ุน ุจุนุถ ููŠ ุฎุงุฑุชูŠู† ุฃูˆุฑุงุณูŠุง ุฃูˆุฑูˆุจุง ูˆุฃุณูŠุงุทุจุนุง ูƒู„ูƒู…
20
+
21
+ 6
22
+ 00:00:42,460 --> 00:00:46,860
23
+ ุนุงุฑููŠู† ุฅูŠุด ู…ุง ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ุชุฑุจุฉ ู‡ูŠ ุงู„ุทุจู‚ุฉ ุงู„ุฑู‚ูŠู‚ุฉ
24
+
25
+ 7
26
+ 00:00:46,860 --> 00:00:50,580
27
+ ุงู„ู…ููƒุฑุฉ ุงู„ุชูŠ ุชุนู„ูˆ ุณุทุญ ุงู„ุฃุฑุถ ูˆ ุงู„ุชูŠ ูŠุบุฑุณ ููŠู‡ุง
28
+
29
+ 8
30
+ 00:00:50,580 --> 00:00:54,680
31
+ ุงู„ู†ุจุงุช ูŠุฏูˆุฑู‡ุง ูˆ ูŠุงุฎุฏ ู…ู†ู‡ุง ุงุญุชุฌุงุชู‡ ุงู„ุบุฐุงุฆูŠุฉ ุงู‚ุณุงู…
32
+
33
+ 9
34
+ 00:00:54,680 --> 00:00:59,820
35
+ ุงู„ุชุฑุจุฉ ููŠ ุฃูˆุฑุงุณูŠุง ุงุฒู…ู„ุชูƒู… ุฏูŠู†ุง ุจุฏุฃุช ุชุดุฑุญู„ู†ุง ู†ูˆุน
36
+
37
+ 10
38
+ 00:00:59,820 --> 00:01:04,940
39
+ ูˆุงุญุฏ ู…ู† ุฃู†ูˆุงุน ุงู„ุชุฑุจุฉ ููŠ ุฃูˆุฑุงุณูŠุง ูˆ ู†ูƒู…ู„ ุจุนุฏู‡ุง
40
+
41
+ 11
42
+ 00:01:04,940 --> 00:01:06,360
43
+ ุชูุถู„ูŠุง ุฏูŠู†ุง
44
+
45
+ 12
46
+ 00:01:12,550 --> 00:01:24,190
47
+ ุนู„ู‰ ุงู„ุณุฑูŠุนุŒ ุงุชูุถู„ ุงูˆู„ุง
48
+
49
+ 13
50
+ 00:01:24,190 --> 00:01:27,090
51
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฑุณูˆู„ู†ุง
52
+
53
+ 14
54
+ 00:01:27,090 --> 00:01:31,090
55
+ ุงู„ู…ุจุนูˆุซ ุฑุญู…ุฉ ู„ู„ุนุงู„ู…ูŠู† ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุนู„ู‰ ุขู„ู‡ ูˆุตุญุจู‡
56
+
57
+ 15
58
+ 00:01:31,090 --> 00:01:35,030
59
+ ุฃุฌู…ุนูŠู† ุฃู…ุง ุจุนุฏ ุฃุฎูˆุงุชูŠ ููŠ ุงู„ู„ู‡ ุฃุญูŠูˆูƒู†ุง ุฌู…ูŠุนุง ุจุชุญูŠุฉ
60
+
61
+ 16
62
+ 00:01:35,030 --> 00:01:38,390
63
+ ุงู„ุฅุณู„ุงู… ุงู„ุนุธูŠู… ูุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
64
+
65
+ 17
66
+ 00:01:38,940 --> 00:01:42,600
67
+ ุจุฏุงูŠุฉ ุงุญู†ุง ูˆุตู„ู†ุง ู„ู„ูุตู„ ุงู„ุณุงุฏุณ ุฃู‚ุณุงู… ุงู„ุชุฑุจุฉ ููŠ
68
+
69
+ 18
70
+ 00:01:42,600 --> 00:01:47,780
71
+ ุฃูˆุฑุงุณูŠุง ู‚ุจู„ ุฃู† ุฃุจุฏุฃ ููŠ ู‡ุฐุง ุดุฑุญ ุฃูˆู„ ุชุฑุจุฉ ูู‚ุท ุฃูˆุฌู‡
72
+
73
+ 19
74
+ 00:01:47,780 --> 00:01:51,700
75
+ .. ุฃูˆุฏ ุฃู† ุฃูˆุฌู‡ ุชุญูŠุฉ ุฅู„ู‰ ูˆุงู„ุฏูŠ ุงู„ุนุฒูŠุฒ ูุฃู‚ูˆู„ ู„ู‡
76
+
77
+ 20
78
+ 00:01:51,700 --> 00:01:54,980
79
+ ุงู„ุญู…ุฏ ู„ู„ู‡ ุนู„ู‰ ุณู„ุงู…ุชูƒ ูˆุฃุนุงุฏูƒ ุงู„ู„ู‡ ุฅู„ูŠู†ุง ุณุงู„ู…ุง ุฅู†
80
+
81
+ 21
82
+ 00:01:54,980 --> 00:01:59,290
83
+ ุดุงุก ุงู„ู„ู‡ุจุฏุงูŠุฉ ุฃู‚ุณู… ุงู„ุชุฑุจุฉ ููŠ ุฃูˆุฑุงุณูŠุงุŒ ุชุนุฑูŠู ุงู„ุชุฑุจุฉ
84
+
85
+ 22
86
+ 00:01:59,290 --> 00:02:03,030
87
+ ููŠ ุงู„ุจุฏุงูŠุฉุŒ ุงู„ุชุฑุจุฉ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู‚ุดุฑุฉ ุงู„ุฑู‚ูŠู‚ุฉ ู…ู†
88
+
89
+ 23
90
+ 00:02:03,030 --> 00:02:07,810
91
+ ุณุทุญ ุงู„ุฃุฑุถ ุงู„ุชูŠ ุชุบุทูŠ ุงู„ุณุทุญ ุงู„ูŠุงุจุณุฉุŒ ุฃูŠุถุง ุงู„ุชูŠ ูŠู…ุฏ
92
+
93
+ 24
94
+ 00:02:07,810 --> 00:02:13,210
95
+ ุงู„ู†ุจุงุช ุจู‡ุง ุฌุฒูˆุฑู‡ ูˆูŠุฃุฎุฐ ู…ู†ู‡ุง ุงู„ู…ูˆุงุฏุงู„ุนุถูˆูŠุฉ ุงู„ู„ุงุฒู…ุฉ
96
+
97
+ 25
98
+ 00:02:13,210 --> 00:02:17,230
99
+ ู„ู‡ ุงูŠุถุง ููŠ ู‡ุฐู‡ ุงู„ุชุฑุจุฉ ุงู„ุชูุงุนู„ ุนู…ูŠู‚ ู…ุง ุจูŠู†
100
+
101
+ 26
102
+ 00:02:17,230 --> 00:02:20,810
103
+ ุงู„ุชูุงุชูŠุทุงุช ุงู„ุณุฎุฑูŠุฉ ูˆุนู†ุงุตุฑ ุงู„ู…ู†ุงุฎ ูˆุงูŠุถุง ู…ุง ุจูŠู†
104
+
105
+ 27
106
+ 00:02:20,810 --> 00:02:26,570
107
+ ุงู„ุชุฏุฎู„ ุงู„ุจุดุฑูŠ ู…ู† ุงู„ู…ูˆุงุฏ ุงู„ุฃุณู…ุฏุฉ ูˆู†ุธุงู… ุงู„ุฑุงูŠ ูˆุฎู„ุท
108
+
109
+ 28
110
+ 00:02:26,570 --> 00:02:30,410
111
+ ุงู„ุจู‚ุงูŠุง ุงู„ุนุถูˆูŠุฉ ุงู„ู†ุจุงุชูŠุฉ ูˆ ุงู„ุญูŠูˆุงู†ูŠุฉ ู„ูŠู…ุฏ ุงู„ุชุฑุจุฉ
112
+
113
+ 29
114
+ 00:02:30,410 --> 00:02:34,190
115
+ ุจุงู„ุนู†ุงุตุฑ ุงู„ู„ุงุฒู…ุฉ ู„ู‡ุง ู‡ุฐุง ูˆูŠู…ูƒู† ุชู‚ุณูŠู… ุงู„ุชุฑุจุฉ ููŠ
116
+
117
+ 30
118
+ 00:02:34,190 --> 00:02:37,530
119
+ ุฃูˆุฑุงุณูŠุง ุทุจุนุง ุฃูˆุฑุงุณูŠุง ุฒูŠ ู…ุง ุงุชูุถู„ ุงู„ุฃุณุชุงุฐ ุฃุญูƒู‰ ุงู†
120
+
121
+ 31
122
+ 00:02:37,530 --> 00:02:42,910
123
+ ุฃูˆุฑุงุณูŠุงู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง ูˆ ุขุณูŠุง ู†ุชูŠุฌุฉ ู„ุงู„ุชุณุงู‚ ูˆ ุงู„ุชุญุงู…
124
+
125
+ 32
126
+ 00:02:42,910 --> 00:02:48,650
127
+ ุงู„ู‚ุงุฑุชูŠู† ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถ ุฃุทู„ู‚ู†ุง ูƒู„ู…ุงุช Orasia
128
+
129
+ 33
130
+ 00:02:48,650 --> 00:02:56,440
131
+ ู„ุงู„ุชุญุงู… ู‡ู…ุง ุฃูˆู„ ู†ูˆุน ู‡ูˆ ุชุฑุจุทุชุฑุจุฉ ุงู„ุจูˆุฒู„ ุชู†ุชุดุฑ ู‡ุฐู‡
132
+
133
+ 34
134
+ 00:02:56,440 --> 00:03:00,480
135
+ ุงู„ุชุฑุจุฉ ููŠ ู†ุทุงู‚ ุงู„ุบุงุฏุงุช ุงู„ุตู†ุงุจุฑูŠุฉ ูƒู„ู…ุฉ ุงู„ุจูˆุฒู„ ู‡ูŠ
136
+
137
+ 35
138
+ 00:03:00,480 --> 00:03:05,060
139
+ ูƒู„ู…ุฉ ุฑูˆุณูŠุฉ ุชุนู†ูŠ ู‡ุด ุจุณุจุจ ู‡ุดู‡ุดุฉ ุงู„ุชุฑุจุฉ ู†ุชูŠุฌุฉ ุชุฑุงูƒู…
140
+
141
+ 36
142
+ 00:03:05,060 --> 00:03:10,300
143
+ ุงู„ู…ุฎู„ูุงุช .. ู…ุฎู„ูุงุช ุงู„ุบุงุฏุงุช ุงู„ุตู†ุงุจุฑูŠุฉ ุนู„ูŠู‡ุง ุชุนุชุจุฑ
144
+
145
+ 37
146
+ 00:03:10,300 --> 00:03:14,280
147
+ ุชุฑุจุฉ ุงู„ุจูˆุฒู„ ู…ู† ุฃูู‚ุฑ ุฃู†ูˆุงุน ุงู„ุชุฑุจ ููŠ ุงู„ .. ุงู„ุชุฑุจุงุช
148
+
149
+ 38
150
+ 00:03:14,280 --> 00:03:18,940
151
+ ููŠ ุงู„ุนุงู„ู… ุฅูŠุด ู‡ูˆ ุงู„ุณุจุจุŸ ุฅู†ู‡ุง ุชุฑุจุฉ ุงู„ุจูˆุฒู„ ูู‚ูŠุฑุฉ ุณุจุจ
152
+
153
+ 39
154
+ 00:03:18,940 --> 00:03:24,490
155
+ ุฃูู‚ุฑ ุชุฑุจุฉ ุงู„ุจูˆุฒู„ุจุณุจุจ ู‚ู„ุฉ ุณู…ูƒ ุทุจู‚ุฉ ุงู„ุฏูˆุจุงู„ ูˆุทุจู‚ุฉ
156
+
157
+ 40
158
+ 00:03:24,490 --> 00:03:29,570
159
+ ุงู„ุฏูˆุจุงู„ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุชุญู„ู„ ุงู„ู…ูˆุงุฏ ุงู„ู†ุจุงุชูŠุฉ ูˆ
160
+
161
+ 41
162
+ 00:03:29,570 --> 00:03:34,350
163
+ ุงู„ุญูŠูˆุงู†ูŠุฉ ูุชู†ุชุฌ ู…ุงุฏุฉ ุงู„ุฏูŠุฏุงู† ูˆ ุชุญู„ู„ ู‡ุฐู‡ ุงู„ู…ุงุฏุฉ ุชู…ุฏ
164
+
165
+ 42
166
+ 00:03:34,350 --> 00:03:41,940
167
+ ุงู„ุทุจู‚ุฉ ุจุงู„ุฎุตูˆุจุฉุชุฑุจุฉ ุงู„ุจูˆ๏ฟฝ๏ฟฝุฒูŠู„ ู„ุง ุชุณู…ุญ ุจุญูŠุงุฉ ุงู„ุฏูŠุฏุงู†
168
+
169
+ 43
170
+ 00:03:41,940 --> 00:03:47,360
171
+ ู„ุฐู„ูƒ ู‡ูŠ ุฃูŠุถุง ู…ู† ุฃูู‚ุฑ ุฃู†ูˆุงุน ุงู„ุชุฑุจุงุช ูุงู„ุฏูŠุฏุงู† ุชุณุจุจ
172
+
173
+ 44
174
+ 00:03:47,360 --> 00:03:52,140
175
+ ุฎุตูˆุจุฉ ู„ู„ุชุฑุจุฉ ูู‡ูŠ ุชุนู…ู„ ุนู„ู‰ ุชู‡ูˆูŠุฉ ุงู„ุชุฑุจุฉ ุฃูŠุถุง ุชุชูƒูˆู†
176
+
177
+ 45
178
+ 00:03:52,140 --> 00:03:56,480
179
+ ุชุฑุจุฉ ุงู„ุจูˆุฏุฒูŠู„ ู…ู† ุทุจู‚ุชูŠู† ุงู„ุทุจู‚ุฉ ุงู„ุณุทุญูŠุฉ ุทุจู‚ุฉ ุฑู‚ูŠู‚ุฉ
180
+
181
+ 46
182
+ 00:03:56,480 --> 00:04:02,740
183
+ ูŠู…ูŠู„ ู„ูˆู†ู‡ุง ุฅู„ู‰ ุงู„ุฃุฎุถุฑ ู†ุชูŠุฌุฉ ู„ุชุชูƒูˆู† ูŠุนู†ูŠ ู…ู† ู„ูˆู†ู‡
184
+
185
+ 47
186
+ 00:04:02,740 --> 00:04:07,960
187
+ ุฃุฎุถุฑ ู†ุชูŠุฌุฉ ู„ุชุญู„ู„ ุงู„ุฃูˆุฑุงู‚ ุงู„ุบุงุจุงุช ูˆุงู„ู†ุจุงุชุงุช ุฃูŠุถุง ู‡ูŠ
188
+
189
+ 48
190
+ 00:04:07,960 --> 00:04:12,340
191
+ ุบูŠุฑ ู…ุชุญู„ู„ุฉ ู†ุชูŠุฌุฉ ุงู†ุฎูุงุถ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุงู„ุทุจู‚ุฉ
192
+
193
+ 49
194
+ 00:04:12,340 --> 00:04:16,660
195
+ ุงู„ุณุทุญูŠุฉ ุชุฎุชุฑู‚ู‡ุง ุงู„ .. ุชุฎุชุฑู‚ ุงู„ .. ูˆุชุตู„ ุฅู„ูŠู‡ุง
196
+
197
+ 50
198
+ 00:04:16,660 --> 00:04:22,080
199
+ ุงู„ุฃู…ุทุงุฑ ู‡ุฐู‡ ุงู„ุฃู…ุทุงุฑ ุชุนู…ู„ ุจุนุฏ ูุชุฑุฉ ุชูƒูˆู† ู…ุญู„ูˆู„ ุดุฏูŠุฏ
200
+
201
+ 51
202
+ 00:04:22,080 --> 00:04:26,570
203
+ ุงู„ุญู…ุถูŠุฉ ู„ุฐู„ูƒ ู‡ูŠ ุฃูŠุถุง ู…ู† ุฃูู‚ุฑ ุฃู†ูˆุงุน ุงู„ุทุฑุงุจุฃูŠุถุง ุฃู…ุง
204
+
205
+ 52
206
+ 00:04:26,570 --> 00:04:31,130
207
+ ุงู„ุทุจู‚ุฉ ุงู„ุณูู„ูŠุฉ ูู‡ูŠ ุทุจู‚ุฉ ู…ุชุฌู…ุฏุฉ ู„ุง ุชุตู„ู‡ุง ู„ุง ุชุตู„ู‡ุง
208
+
209
+ 53
210
+ 00:04:31,130 --> 00:04:36,020
211
+ ู…ูŠุฉ ุงู„ุฃู…ุชุงุฑ ู„ูˆู†ู‡ุง ูŠู…ูŠู„ ุฅู„ู‰ ุงู„ุฑู…ุงุฏูŠู„ูƒู† ู‡ู†ุงูƒ ู†ูˆุน ู…ู†
212
+
213
+ 54
214
+ 00:04:36,020 --> 00:04:39,980
215
+ ุฃู†ูˆุงุน ุงู„ุชุฑุจุงุชุŒ ุชุฑุจุฉ ุงู„ุจูˆุฏุฒูŠู„ุŒ ุบู†ู‰ ุจุงู„ู…ูˆุงุฏ ุงู„ู…ูƒูˆู†ุฉ
216
+
217
+ 55
218
+ 00:04:39,980 --> 00:04:43,720
219
+ ู„ู‡ุง ุชูˆุฌุฏ ููŠ ู†ุทู‚ ุงู„ุบุงุจุงุช ุงู„ู…ุฎุฑูˆุทูŠุฉ ุงู„ุฌู†ูˆุจูŠุฉุŒ ุดูˆ
220
+
221
+ 56
222
+ 00:04:43,720 --> 00:04:47,700
223
+ ุงู„ุณุจุจุŸ ุงู†ู‡ ุทุจุนุง ุงุญู†ุง ุญูƒูŠู†ุง ุงู† ุชุฑุจุฉ ุงู„ุจูˆุฏุฒูŠู„ ู‡ูŠ
224
+
225
+ 57
226
+ 00:04:47,700 --> 00:04:51,380
227
+ ุชุฑุจุฉ ูู‚ูŠุฑุฉุŒ ู„ูƒู† ู‡ู†ุงูƒ ู†ูˆุน ู…ู†ู‡ุง ู‡ูŠ ุชุฑุจุฉ ุบู†ูŠุฉุŒ ุดูˆ
228
+
229
+ 58
230
+ 00:04:51,380 --> 00:04:54,940
231
+ ุงู„ุณุจุจุŸ ููŠ ุณุจุจูŠู†ุŒ ุงุชูุถู„ ูŠุง ุฃุณู…ุงุก ู‡ูˆ ุงุญุชูˆู‰ ุงู† ุงู„ู…ุฏุฑุณ
232
+
233
+ 59
234
+ 00:04:54,940 --> 00:04:58,440
235
+ ุงู„ู…ุชุจู‚ู‰ุŒ ุงู„ู…ูุชุงุญ ุนู† ูƒุฑุฏู†ุงุช ุงู„ูƒุฑุฏุณูŠุฉุŒ ู‡ุฏุนู…ู„ ุนู„ู‰ ุบุถุจ
236
+
237
+ 60
238
+ 00:04:58,440 --> 00:05:03,330
239
+ ู…ุณุชูˆู‰ ุญู…ูˆู…ุฉ ุงู„ุชุฑุจุงุช ุตุญูŠุญู„ุฃ ุฃุณู…ุญ ู„ูƒ ุฃูˆู„ ุญุงุฌุฉ ุฅู†ู‡
240
+
241
+ 61
242
+ 00:05:03,330 --> 00:05:07,430
243
+ ุงู„ู†ุจุงุช ูŠุญุชูˆูŠ ุนู„ู‰ ูƒู…ูŠุฉ ู…ุฑุชูุนุฉ ู…ู† ุงู„ูƒุฑุจูˆู†ุงุช ุงู„
244
+
245
+ 62
246
+ 00:05:07,430 --> 00:05:12,470
247
+ calcium ู‡ุฐุง ุนู…ู„ ุนู„ู‰ ู…ู‚ุงูˆู…ุฉ ุงู„ุญู…ุถูŠุฉ ููŠ ุงู„ุชุฑุจุงุด ูˆ
248
+
249
+ 63
250
+ 00:05:12,470 --> 00:05:17,910
251
+ ุงู„ุณุจุจ ุงู„ุชุงู†ูŠ ุงุชูุถู„ูŠ ุงู„ุงุฑุชูุงุน ุงู„ู†ุณุจูŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
252
+
253
+ 64
254
+ 00:05:17,910 --> 00:05:21,700
255
+ ุงู„ุชูŠ ุชุนู…ู„ ุนู„ู‰ ุชุญู„ู„ ุฃูˆุฑุงู‚ ุงู„ุชุฑุจุงุดุตุญูŠุญ ุงู„ุณุจุจ ุงู„ุชุงู†ูŠ
256
+
257
+ 65
258
+ 00:05:21,700 --> 00:05:25,120
259
+ ุฃูŠุถุง ู‡ูˆ ุงุฑุชูุงุน ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูุนู…ู„ ุนู„ู‰ ุชุญู„ู„
260
+
261
+ 66
262
+ 00:05:25,120 --> 00:05:28,800
263
+ ุงู„ู…ู‚ูˆู†ุงุชุŒ ู…ู‚ูˆู†ุงุช ุงู„ุฃูˆุฑุงู‚ ูˆุงู„ู†ุจุงุชุงุช ูู…ุงุฏุฉ ุงู„ุชุฑุจุฉ
264
+
265
+ 67
266
+ 00:05:28,800 --> 00:05:33,440
267
+ ุฃูŠุถุง ุจุงู„ุนู†ุงุตุฑ ุงู„ู„ุงุฒู…ุฉ ุทุจุนุง ุฃู†ุง ุงู„ุฃุณุชุงุฐ ุฑุงุญ ูŠูƒู…ู„
268
+
269
+ 68
270
+ 00:05:33,440 --> 00:05:38,930
271
+ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ุทุจุนุง ุจุฑูƒ ุงู„ู„ู‡ ููŠูƒูŠ
272
+
273
+ 69
274
+ 00:05:38,930 --> 00:05:46,810
275
+ ูˆ ูƒู…ุง ุฏุนุช ู„ุฃุจูŠู‡ุง ุงูŠุถุง ู‚ุณู… ุงู„ุฌุบุฑุงููŠุง ูŠุฏุนูˆ ุจุงู„ุณู„ุงู…ุฉ
276
+
277
+ 70
278
+ 00:05:46,810 --> 00:05:53,770
279
+ ู„ุฃุจูŠู‡ุง ููŠ ุงู„ู‚ุฑูŠุจ ุงู„ุนุงุฌู„ ูˆ ุงู† ุงู„ู„ู‡ ูŠุชุบู…ุฏู‡ ุจุงู„ุดูุงุก
280
+
281
+ 71
282
+ 00:05:53,770 --> 00:05:58,770
283
+ ูู‚ุงู„ุช ุงุฒู…ู„ุชูƒู… ุชุฑุจุฉ ุงู„ุจูˆุฒู„ ู‡ูŠ ุงู„ุชุฑุจุฉ ุงู„ุญุดุฉ ูŠุนู†ูŠ
284
+
285
+ 72
286
+ 00:05:58,770 --> 00:06:02,190
287
+ ุจุงู„ุฑูˆุณูŠุง ู…ุนู†ุงู‡ุง ุญุดุฉ ู…ูˆุฌูˆุฏ ูˆูŠู† ู‡ุฐุง ุงู„ู†ุทุงู‚ุŸ ููŠ ู†ุทุงู‚
288
+
289
+ 73
290
+ 00:06:02,190 --> 00:06:09,750
291
+ ุงู„ุณู†ูˆุจุฑูŠ ูˆ ู‡ู†ุง ุนุงุฑููŠู† ุงู† ู†ุทุงู‚ ุงู„ุณู†ูˆุจุฑูŠูŠุจุฏุฃ ู…ู† ุดุฑู‚
292
+
293
+ 74
294
+ 00:06:09,750 --> 00:06:18,910
295
+ ุฃูˆุฑูˆุจุง ูˆูŠู†ุชู‡ูŠ ุญุชู‰ ุดุฑู‚ ุฃุณูŠุง ุญุฒุงู… ุนุฑุถูŠ ุทูˆูŠู„ ููŠ ุฏูˆุงุฆุฑ
296
+
297
+ 75
298
+ 00:06:18,910 --> 00:06:25,170
299
+ ุนุฑุถ ุงู„ุจุงุฑุฏุฉ ู…ู† ุฎู…ุณุฉ ูˆุฎู…ุณูŠู† ู„ุฎู…ุณุฉ ูˆุณุชูŠู† ู‡ุฐุง ุงู„ู†ุทุงู‚
300
+
301
+ 76
302
+ 00:06:25,170 --> 00:06:31,010
303
+ ูƒู„ู‡ ู†ุทุงู‚ ุณู†ูˆุจุฑูŠ ุทุจุนุง ุจูŠุตูŠุฑ ุชุณุงู‚ุท ู„ู„ุฃูˆุฑุงู‚ ูˆ ู„ู„ุฃู‚ุตุงุฏ
304
+
305
+ 77
306
+ 00:06:31,670 --> 00:06:35,790
307
+ ูˆุงู„ุชุฑุงูƒู… ู„ู…ุง ู†ูŠุฌูŠ ูŠู…ุณูŠ ุงู„ุฅู†ุณุงู† ุนู„ูŠู‡ ุจูŠูƒูˆู† ู‡ุงุดุŒ
308
+
309
+ 78
310
+ 00:06:35,790 --> 00:06:41,290
311
+ ูŠุนู†ูŠ ุจู†ุณู…ุน ุตูˆุช ุงู„ุฎุดุงุด ูˆ ุงุญู†ุง ู…ุงุดูŠูŠู† ู‡ุฐุง ุงู„ุชุฑุจุฉ
312
+
313
+ 79
314
+ 00:06:41,290 --> 00:06:46,330
315
+ ู„ุฃู†ู‡ ู…ู†ุทู‚ุฉ ุจุงุฑุฏุฉุŒ ุฃู…ุทุงุฑู‡ุง ุชุณุงู‚ุท ุฌู„ูŠุฏูŠุŒ ุตุนุจ ููŠู‡ุง
316
+
317
+ 80
318
+ 00:06:46,330 --> 00:06:51,700
319
+ ุงู„ุชุจุฎุฑู„ูƒู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฌู†ูˆุจูŠุฉ ู…ู† ู‡ุฐู‡ ุงู„ุชุฑุจุฉ ู„ุฃู†ู‡ุง
320
+
321
+ 81
322
+ 00:06:51,700 --> 00:06:58,140
323
+ ู‚ุฑูŠุจุฉ ู…ู†ู‡ุง ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฏุงูุนุฉ ุจูŠูƒูˆู† ููŠู‡ุง ู†ุณุจุฉ ุชุญู„ู„ ู…ู†
324
+
325
+ 82
326
+ 00:06:58,140 --> 00:07:02,060
327
+ ุงู„ู…ูƒูˆู†ุงุช ุงู„ุชุฑุจุฉ ูุชุตู„ุญ ู„ู„ุฒุฑุงุนุฉ ุนุดุงู† ู‡ูŠูƒ ู„ูˆ ุฌูŠู†ุง
328
+
329
+ 83
330
+ 00:07:02,060 --> 00:07:06,640
331
+ ุณุคุงู„ ุงุญู†ุง ุฏุงูŠู…ุง ุจู†ุญุท ุณุคุงู„ ููŠ ู‡ุฐุง ุงู„ู…ูˆู‚ุน ุงู†ู‡ ุนุฏู…
332
+
333
+ 84
334
+ 00:07:06,640 --> 00:07:11,560
335
+ ุตู„ุงุญูŠุฉ ุชุฑุจุฉ ุงู„ pods ู„ู„ุฒุฑุงุนุฉ ู‡ุงูŠ ุงู„ุณุคุงู„ ุงู„ุณุคุงู„
336
+
337
+ 85
338
+ 00:07:11,560 --> 00:07:17,100
339
+ ุงู„ุชุงู†ูŠ ุงู†ู‡ ู„ูˆ ุฌูŠุจู†ุง ุตุญ ูˆุฎุทุฃูˆู‡ุฐุง ูŠู…ูƒู† ูŠูƒูˆู† ูˆุงุฑุฏ ุฃู†
340
+
341
+ 86
342
+ 00:07:17,100 --> 00:07:22,880
343
+ ุชุฑุจุฉ ุงู„ุจูˆุฒู„ ุบูŠุฑ ุตุงู„ุญ ู„ู„ุฒุฑุงุนุฉ ู„ุฃู† ุงู„ู‡ุงู…ุด ุงู„ุฌู†ูˆุจูŠ ู…ู†
344
+
345
+ 87
346
+ 00:07:22,880 --> 00:07:30,660
347
+ ุชุฑุจุฉ ุงู„ุจูˆุฒู„ ุตุงู„ุญ ู„ู„ุฒุฑุงุนุฉุŒ ุดูุชูˆุง ูƒูŠูุŸ ุฅุฐู† ุฃูŠ ุฅุฌุงุจุฉ
348
+
349
+ 88
350
+ 00:07:30,660 --> 00:07:36,240
351
+ ู„ู„ุณุคุงู„ ุจุฏูŠ ุชูƒูˆู† ูƒุชูŠุฑ ู…ุชุฃู†ูŠุฉุŒ ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ ู…ู†
352
+
353
+ 89
354
+ 00:07:36,240 --> 00:07:41,500
355
+ ุงู„ุชุฑุจุงุช ู‡ูŠ ุชุฑุจุฉ ุงู„ู€ Chernosimู‡ุฐู‡ ุงู„ุชุฑุจุฉ ู…ูˆุฌูˆุฏุฉ
356
+
357
+ 90
358
+ 00:07:41,500 --> 00:07:49,080
359
+ ูˆูŠู†ุŸ ุจุชูˆุน ุงู„ุณูˆุฏุงุกุŒ ู…ู† ูˆูŠู† ุงู„ุณูˆุฏุงุก ุฌุงูŠุŸ ุงู„ุนุดุงุจุŒ
360
+
361
+ 91
362
+ 00:07:49,080 --> 00:07:57,300
363
+ ุงู„ุนุดุงุจ ู„ู…ุง ุชู†ุถุฌ ูŠู…ูŠู„ ู„ูˆู†ู‡ุง ุฅู„ู‰ ุงู„ุฅุณูุฑุงุฑุŒ ุญุชู‰ ุฃู†
364
+
365
+ 92
366
+ 00:07:57,300 --> 00:08:03,160
367
+ ุงู„ู‚ู…ุญ ุฃุญูŠุงู†ุง ู†ุทู„ู‚ ุนู„ูŠู‡ ุจุงู„ุฐู‡ุจ ุงู„ุฃุตูุฑุŒ ู„ูƒู† ู„ู…ุง ุชู…ูˆุช
368
+
369
+ 93
370
+ 00:08:03,160 --> 00:08:11,260
371
+ ูˆุฃุดุนุฉ ุงู„ุดู…ุณ ุตู„ุช ุนู„ูŠู‡ุง ุจุชุณูˆุฏูุชุชุณุงู‚ุท ุทุจุนุง ู‡ุดุฉ ุนู„ู‰
372
+
373
+ 94
374
+ 00:08:11,260 --> 00:08:17,720
375
+ ุงู„ุฃุฑุถ ุชุฏู‘ูŠ ุงู„ุชุฑุจุฉ ุงู„ู„ูˆู† ุงู„ุฃุณูˆุฏ ุชุจุนู‡ุง ู…ูˆุฌูˆุฏุฉ ูˆูŠู†ุŸ
376
+
377
+ 95
378
+ 00:08:17,720 --> 00:08:23,650
379
+ ููŠ ู†ุทุงู‚ ุนุฑุถูŠ ููŠ ุดุฑู‚ ุงู„ู‚ุงุฑุฉ ุดู…ุงู„ ุงู„ุจุญุฑ ุงู„ุฃุณูˆุฏููŠ
380
+
381
+ 96
382
+ 00:08:23,650 --> 00:08:27,310
383
+ ุชุฑุจุฉ ุชุณู…ู‰ ุจู‡ุฐุง ุงู„ุงุณู… ุชุฑุจุฉ ุชุดูŠุฑู†ูˆุฒู… ููŠ ู…ู†ุทู‚ุฉ
384
+
385
+ 97
386
+ 00:08:27,310 --> 00:08:32,270
387
+ ุฃูƒูˆุฑุงู†ูŠุง ุงู„ุชูŠ ุชุนุชุจุฑ ู…ู† ุฃุตู„ุญ ุฃู†ูˆุงุน ุชุฑุจุงุช ุฒุฑุงุนุฉ
388
+
389
+ 98
390
+ 00:08:32,270 --> 00:08:39,050
391
+ ุงู„ู‚ู…ุญ ุทุจุนุง ู‡ุฐู‡ ุบู†ูŠุฉ ุฌุฏุง ุจู…ูƒูˆู†ุงุชู‡ุง ุงู†ุชุจู‡ูˆุง ู…ุงุฏุงู… ููŠ
392
+
393
+ 99
394
+ 00:08:39,050 --> 00:08:44,490
395
+ ุนุดุงุจ ุฅุฐุง ู‡ูƒูˆู† ููŠ ุนู†ุฏู‡ ุฅูŠุด ุญูŠูˆุงู†ุงุช ุฃูƒู„ุฉ ุงู„ุนุดุจ ูˆ ู„ุง
396
+
397
+ 100
398
+ 00:08:44,490 --> 00:08:48,550
399
+ ู„ุง ูˆ ู…ุงุฏุงู… ุนู†ุฏู‡ ุญูŠูˆุงู†ุงุช ุฃูƒู„ุฉ ุงู„ุนุดุจ ูู‡ูŠูƒูˆู† ุญูŠูˆุงู†ุงุช
400
+
401
+ 101
402
+ 00:08:48,550 --> 00:08:55,640
403
+ ุฃูƒู„ุฉ ุงู„ู„ุญูˆู… ุฏูˆุฑุฉ ุญูŠุงุชูŠุฉุชุชู… ููŠ ุงู„ู†ู‡ุงูŠุฉ ุชุชุญู„ู„ ู‡ุฐู‡
404
+
405
+ 102
406
+ 00:08:55,640 --> 00:09:00,200
407
+ ุงู„ุฏูˆุฑุฉ ุงู„ุญูŠุงุชูŠุฉ ูˆ ุชุฏุฎู„ ููŠ ู…ูƒูˆู†ุงุช ุงู„ุชุฑุจุฉ ุงู„ุบุฐุงุฆูŠุฉ
408
+
409
+ 103
410
+ 00:09:00,200 --> 00:09:08,100
411
+ ู„ู„ู†ุจุงุช ูˆ ุจูŠูƒูˆู† ุนู†ุฏ ุงู„ู†ุจุงุช ู…ุฎุตุจ ุฌุฏุง ุทุจุนุง ุงู„ุฃู…ุทุงุฑ
412
+
413
+ 104
414
+ 00:09:08,100 --> 00:09:12,940
415
+ ู‡ู†ุง ู…ู† ุนุดุฑุฉ ู„ุนุดุฑูŠู† ุจูˆุตุฉ ุณู†ูˆูŠุง ูˆ ุนุงุฑููŠู† ุงุญู†ุง ุงู„ุจูˆุตุฉ
416
+
417
+ 105
418
+ 00:09:12,940 --> 00:09:16,720
419
+ ูƒุงู… centimeter ูƒุงู… ุณู†ุฉ ุงู„ุจูˆุตุฉ ูŠุง ุจู†ุงุชุŸ
420
+
421
+ 106
422
+ 00:09:19,440 --> 00:09:23,440
423
+ ูƒู… ุจูˆุตุฉุŸ ูŠุนู†ูŠ ุงู„ูŠูˆู… ุฃู†ุง ุจุดูˆู ุงู„ุชู„ูŠูุฒูŠูˆู† ุจู‚ูˆู„ 24
424
+
425
+ 107
426
+ 00:09:23,440 --> 00:09:28,140
427
+ ุจูˆุตุฉุŒ ุจุดูˆู ุงู„ู…ุณุทุฑ ุงู„ู„ูŠ ุจูŠู† ูŠุฏูŠ ูˆ ุงู„ู„ูŠ ุจู‚ูŠุณ ููŠู‡ุง
428
+
429
+ 108
430
+ 00:09:28,140 --> 00:09:36,270
431
+ ุงู„ู…ุณุงูุงุช ู…ูƒุชูˆุจุฉ ุจุงู„ centimeter ูˆ ุจุงู„ุจูˆุตุฉูƒู„ ุจูˆุณ
432
+
433
+ 109
434
+ 00:09:36,270 --> 00:09:40,790
435
+ ุงุชู†ุงุดุฑ ุจูˆุณุฉ ุงู„ู…ุตุทุฑุงุก ุงุชู†ุงุดุฑ ุจูˆุณุฉ ุชู„ุงุชูŠู† ุนู„ู‰ ุงุชู†ุงุด
436
+
437
+ 110
438
+ 00:09:40,790 --> 00:09:47,770
439
+ ุจุฏูŠู†ูŠ ุชู‚ุฑูŠุจุง ุงุชู†ูŠู† ูˆ ู†ุต ุณุงู†ุชูŠ ู„ูƒู„ ุจูˆุณุฉ ุงุชู†ูŠู† ูˆ ู†ุต
440
+
441
+ 111
442
+ 00:09:47,770 --> 00:09:53,230
443
+ ุณุงู†ุชูŠ ู„ูƒู„ ุจูˆุณุฉ ูˆุจุงู„ุชุงู„ูŠ
444
+
445
+ 112
446
+ 00:09:53,230 --> 00:10:00,680
447
+ ุจุณ ุชุตู„ุญ ู„ุฒุฑุงุนุฉ ุงู„ู‚ู…ุญู„ุฃู† ูƒู…ูŠุฉ ุงู„ุฃู…ุทุงุฑ ุงู„ู„ูŠ ุณุงู‚ุทุฉ
448
+
449
+ 113
450
+ 00:10:00,680 --> 00:10:04,120
451
+ ู„ุงุชููŠ ู„ู„ู…ุชุทู„ุจุงุช ุงู„ู†ุจุงุชูŠุฉ ุงู„ู„ูŠ ุชุญุชุงุฌ ุฅู„ู‰ ู…ูŠุงู‡ ูˆููŠุฑุฉ
452
+
453
+ 114
454
+ 00:10:04,120 --> 00:10:09,000
455
+ ุฒูŠ ุงู„ู‚ุทู† ู…ุซู„ุง ุฃูˆ ู‚ุตุจ ุงู„ุณูƒุฑ ูˆุจุงู„ุชุงู„ูŠ ุจู†ุฒุฑุนู‡ุง ุจุงู„ู‚ู…ุญ
456
+
457
+ 115
458
+ 00:10:09,000 --> 00:10:15,240
459
+ ู„ู‡ุฐุง ูŠุนุชุจุฑ ุงู„ุงู‚ู„ูŠู… ู…ู† ุงูƒุซุฑ ู…ู†ุงุทู‚ ูˆู‡ูŠ ุชุดุจู‡ ุงู‚ู„ูŠู…
460
+
461
+ 116
462
+ 00:10:15,240 --> 00:10:21,480
463
+ ุงู„ุจุฑุงุฑูŠ ููŠ ุงู„ูˆู„ุงูŠุงุช ุงู„ู…ุชุญุฏุฉ ุงู„ุฃู…ุฑูŠูƒูŠุฉุงู„ุชุฑุจุฉ
464
+
465
+ 117
466
+ 00:10:21,480 --> 00:10:25,080
467
+ ุงู„ุชุงู†ูŠุฉ ุชุฑุจุฉ ุงู„ู€ Loess ูˆ ุงุญู†ุง ุฏุงูŠู…ุง ุจู†ู‚ูˆู„ูƒู… ุฏูŠุฑูˆุง
468
+
469
+ 118
470
+ 00:10:25,080 --> 00:10:29,060
471
+ ุจุงู„ูƒู… ู…ูŠุฒ ุจูŠู† ุงู„ Loess ูˆ ุงู„ Loess ู‡ุฐู‡ ู…ุฎู„ูุงุช
472
+
473
+ 119
474
+ 00:10:29,060 --> 00:10:35,220
475
+ ุฌู„ูŠุฏูŠุฉ ุฌุงุก ุจู‡ุง ุงู„ุฌู„ูŠุฏ ูˆ ูˆุถุนู‡ุง ุฃู…ุงู…ู‡ ููŠ ู…ู‚ุฏู…ุงุช
476
+
477
+ 120
478
+ 00:10:35,220 --> 00:10:40,730
479
+ ุงู„ุฒุญู ุงู„ุฌู„ูŠุฏูŠ ูˆ ู„ู…ุง ุงู†ุญุตู„ ุงู„ุฌู„ูŠุฏ ูˆ ุชุฑุงุฌุนุชุฑูƒุช ู‡ุฐู‡
480
+
481
+ 121
482
+ 00:10:40,730 --> 00:10:46,430
483
+ ุงู„ู…ุฎู„ูุงุช ูˆุนู…ู„ูŠุฉ ุงู„ weathering ุชุญู„ู„ุช ูˆ ุฌุงุกุช ุงู„ุฑูŠุงุญ
484
+
485
+ 122
486
+ 00:10:46,430 --> 00:10:53,850
487
+ ูˆ ุณูˆู‘ุชู‡ุง ุจุงู„ุฃุฑุถ ุญุชู‰ ุฅู† ุณู…ูƒู‡ุง ุฃูƒุชุฑ ู…ู† 200 ู…ุชุฑ ูŠุนู†ูŠ
488
+
489
+ 123
490
+ 00:10:53,850 --> 00:11:00,950
491
+ ู…ู† 100 ุฅู„ู‰ 300 ู…ุชุฑ ูˆู‡ุฐุง ูŠุฏู„ู„ ุนู„ู‰ ุนู…ู‚ ุณู…ูƒ ุงู„ุทุจู‚ุฉ
492
+
493
+ 124
494
+ 00:11:00,950 --> 00:11:06,710
495
+ ุงู„ุชุฑุจุฉ ููŠ ุงู„ ice ูˆุนุดุง๏ฟฝ๏ฟฝ ู†ู‚ูŠุณ ุฐู„ูƒ ู„ู…ุง ู†ุฌูŠ ู„ู„ุชุฑุจุฉ
496
+
497
+ 125
498
+ 00:11:06,710 --> 00:11:12,730
499
+ ุงู„ููŠุถูŠุฉ ููŠ ู†ู‡ุฑ ุงู„ู†ูŠู„ูŠุนู†ูŠ ู„ุง ุชุชุฌูˆุฒ ุณู†ุชูŠู† ู…ุชุฑ ุณู…ูƒ
500
+
501
+ 126
502
+ 00:11:12,730 --> 00:11:16,010
503
+ ุงู„ุทุจู‚ ุงู„ููŠุถูŠุฉ ุงู„ู„ูŠ ุฌุจู‡ุงู„ ุงู„ู†ู‡ุฑ ู…ู† ู‡ุฐุง ุจุชู„ุญุงูุดุฉ
504
+
505
+ 127
506
+ 00:11:16,010 --> 00:11:22,310
507
+ ูŠุฏูˆุจ ุชู„ุงุชูŠู† ู…ุชุฑ ูˆุชุญุช ุงู„ุชู„ุงุชูŠู† ุฑู…ุงู„ ุตุญุฑุงูˆูŠุฉ ูŠุนู†ูŠ
508
+
509
+ 128
510
+ 00:11:22,310 --> 00:11:27,550
511
+ ุดูˆููˆุง ุนูˆุงู…ู„ ุงู„ุทุจูŠุนุฉ ููŠ ุชุดูƒูŠู„ ุงู„ุชุฑุจุฉ ุนู„ู‰ ุณุทุญ ุงู„ุฃุฑุถ
512
+
513
+ 129
514
+ 00:11:27,550 --> 00:11:32,170
515
+ ุทุจุนุง ู‡ุฐู‡ ุงู„ุชุฑุจุฉ ุฃูŠุถุง ุบู†ูŠุฉ ุฌุฏุง ุจุงู„ู…ูƒูˆู†ุงุช ูˆุตุงู„ุญุฉ ุฌุฏุง
516
+
517
+ 130
518
+ 00:11:32,170 --> 00:11:35,350
519
+ ู„ู„ุฒุฑุงุนุฉ ุงู„ุชุฑุจุฉ ุงู„ุณู…ุฑุงุก
520
+
521
+ 131
522
+ 00:11:39,210 --> 00:11:45,990
523
+ ููŠ ุธุฑูˆู ู…ู†ุงุฎูŠุฉ ุฐุงุช ุฃู…ุทุงุฑ ุตูŠููŠุฉุŒ ุฐุงุช ุฃู…ุทุงุฑ ุตูŠููŠุฉุŒ
524
+
525
+ 132
526
+ 00:11:45,990 --> 00:11:50,450
527
+ ู…ู† ุงู„ุตุนุจ ุนู„ูŠู†ุง ุฃู† ู†ู…ูŠุฒ ุจูŠู† ุงู„ุชุฑุจุฉ ุงู„ู€ Chernosum
528
+
529
+ 133
530
+ 00:11:50,450 --> 00:11:55,870
531
+ ุงู„ุณูˆุฏุงุก ูˆุงู„ุชุฑุจุฉ ุงู„ุณู…ุฑุงุกุŒ ู…ุฏุงู… ุงู„ู…ุณู…ูŠุงุช ุฎุฑูŠุจุฉุŒ ู„ุฃู†
532
+
533
+ 134
534
+ 00:11:55,870 --> 00:12:01,390
535
+ ุณูˆุฏุงุก ูˆุณู…ุฑุงุก ู†ูุณ ุงู„ู…ุนู†ู‰ุŒ ุตุญุŸ ู„ูƒู† ุงู„ุฃูˆู„ู‰ ุถู…ู† ู…ู†ุงุฎุงุช
536
+
537
+ 135
538
+ 00:12:01,390 --> 00:12:09,420
539
+ ู…ุนุชุฏู„ุฉุงู„ุดุฑู†ูˆุฒู… ุถู…ู† ู…ู†ุงุฎุงุช ู…ุนุชุงุฏู„ุฉุŒ ุฃู…ุง ุงู„ุณู…ุฑุงุก
540
+
541
+ 136
542
+ 00:12:09,420 --> 00:12:17,060
543
+ ูุถู…ู† ู…ู†ุงุฎุงุช ุญุงุฑุฉุŒ ุจุฎุงุตุฉ ุฅู†ู‡ุง ุฐุงุช ุงู„ุฃู…ุทุงุฑ ุงู„ุตูŠููŠุฉุŒ
544
+
545
+ 137
546
+ 00:12:17,060 --> 00:12:20,600
547
+ ู…ุนู†ุงู‡ุง ุฒูŠ ุฅู†ู‡ ุชู†ู…ูˆ ุงู„ุฃุนุดุงุจุŒ ู†ูุณ ุงู„ุฏูˆุฑุฉ ุงู„ู„ูŠ ุญูŠุงุชู‡ุง
548
+
549
+ 138
550
+ 00:12:20,600 --> 00:12:27,020
551
+ ุชุณูŠุฑ ููŠ ุงู„ุดุฑู†ูˆุฒู… ูˆุชุณูˆุฏุŒ ูˆุจุงู„ุชุงู„ูŠู‡ุฐู‡ ุงู„ุชุฑุจุฉ ุทุจุนุง
552
+
553
+ 139
554
+ 00:12:27,020 --> 00:12:32,040
555
+ ุตุงู„ุญุฉ ู„ู„ุฒุฑุงุนุฉ ุตุงู„ุญุฉ ุงูŠู‡ุŸ ู„ุฃู† ุงู„ุฒุฑุงุนุฉ ุบู†ูŠุฉ ุฌุฏุง
556
+
557
+ 140
558
+ 00:12:32,040 --> 00:12:37,980
559
+ ุจุงู„ู…ูƒูˆู†ุงุช ุงู„ุญูŠุงุชูŠุฉ ุงู„ุชูŠ ุนู„ูŠู‡ุง ุชุฑุจุฉ ุตุญุฑุงูˆูŠุฉ ุงุญู†ุง
560
+
561
+ 141
562
+ 00:12:37,980 --> 00:12:43,040
563
+ ุดูู†ุง ุตุญุฑุงุก ููŠ ุงุณูŠุง ูƒุงู… ุชุณุงูˆูŠ ุชู„ุชุงุดุฑ ู…ู„ูŠูˆู† ูƒูŠู„ูˆู…ุชุฑ
564
+
565
+ 142
566
+ 00:12:43,040 --> 00:12:48,160
567
+ ู…ุฑุจุน ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุชู„ุงุชูŠู† ู…ู† ู…ุณุงุญุฉ ุงู„ู‚ุงุฑุฉ ูุงู„ุชุฑุจุฉ ุงูˆ
568
+
569
+ 143
570
+ 00:12:48,160 --> 00:12:53,950
571
+ ูƒู„ู‡ุง ุนู†ุฏูŠ ุชู„ุช ู†ูˆุน ู…ู† ุงู„ุตุญุงุฑุฉ ุฌู„ูŠุฏูŠุฉ ุจุงุฑุฏุฉู…ุนุชุฏู„ุฉ ููŠ
572
+
573
+ 144
574
+ 00:12:53,950 --> 00:13:00,750
575
+ ู‚ู„ุจ ุงู„ู‚ุงุฑุฉ ุญุงุฑุฉ ููŠ ุงู„ุฌู†ูˆุจ ูู‡ุฐู‡ ุงู„ุชุฑุจุฉ ุบู†ูŠุฉ ุจุงู„ู…ูˆุงุฏ
576
+
577
+ 145
578
+ 00:13:00,750 --> 00:13:06,410
579
+ ุงู„ู…ุนุฏู†ูŠุฉ ุทุจ ู„ูŠุด ุบู†ูŠุฉ ุจุงู„ู…ูˆุงุฏ ุงู„ู…ุนุฏู†ูŠุฉ ูŠุง ุจู†ุงุชุŸ ู„ุฃู†
580
+
581
+ 146
582
+ 00:13:06,410 --> 00:13:12,790
583
+ ุทุจูŠุนุฉ ุงู„ุชูƒูˆูŠู† ุงู„ุตุฎุฑูŠ ุงู„ู…ุนุฏู† ุฌุฒุก ุฃุณุงุณูŠ ู…ู†ู‡ ู„ูƒู†
584
+
585
+ 147
586
+ 00:13:12,790 --> 00:13:18,920
587
+ ูู‚ูŠุฑุฉ ุจุงู„ู†ูˆุงุญูŠ ุงู„ุนุถูˆูŠุฉ ูˆุงู„ุนุถูˆูŠุฉ ู…ู†ูŠู† ุจุฌูŠุจู‡ุง ุฃู†ุงุŸู…ู†
588
+
589
+ 148
590
+ 00:13:18,920 --> 00:13:22,780
591
+ ุงู„ู†ุจุงุช ูˆุงู„ุญูŠูˆุงู†ุงุช ูˆู„ู…ู‘ุง ูƒุงู†ุช ุงู„ุตุญุฑุงุก ุฌุงูุฉ ู…ุงููŠ
592
+
593
+ 149
594
+ 00:13:22,780 --> 00:13:27,640
595
+ ู†ุจุงุช ู…ุงููŠ ุญูŠูˆุงู† ุฅู„ุง ุฅู†ู‡ ุตุงู„ุญ ู„ู„ุฒุฑุงุนุฉ ุฅุฐุง ุชูˆูุฑุช
596
+
597
+ 150
598
+ 00:13:27,640 --> 00:13:35,460
599
+ ุงู„ู…ูŠุงู‡ ูู…ู…ูƒู† ุฒุฑุงุนุชู‡ุง ุจุงู„ุฑุฃูŠ ุงู„ุชู†ู‚ูŠุฏ ุฅุฐุง ุชูˆูุฑุช
600
+
601
+ 151
602
+ 00:13:35,460 --> 00:13:37,280
603
+ ุงู„ุฅู…ูƒุงู†ูŠุฉ
604
+
605
+ 152
606
+ 00:13:39,430 --> 00:13:47,370
607
+ ุทุฑุจุฉ ุงู„ุฎุทุจูŠุฉ ุชู‚ุชุฑุจ ุชู‚ุฑูŠุจุง ู…ู† ุทุฑุจุฉ ุงู„ุจูˆุฏุฒู„ ู„ูƒู†
608
+
609
+ 153
610
+ 00:13:47,370 --> 00:13:55,470
611
+ ุดู…ุงู„ู‡ุง ุชู‚ุน ุทุฑุจุฉ ู…ุชุฌู…ุฏุฉ ููŠ ู…ุนุธู… ุดู‡ูˆุฑ ุงู„ุณู†ุฉ ุจุณุจุจ
612
+
613
+ 154
614
+ 00:13:55,470 --> 00:14:01,700
615
+ ุงู†ุบูุงุฑ ุงู„ุฏุฑุฌุงุชู„ู‡ุฐุง ู„ุง ุชุตู„ุญ ููŠู‡ุง ุงู„ุฒุฑุงุน ู„ุฃู†ู‡ ุฒุฑุงุนู‡
616
+
617
+ 155
618
+ 00:14:01,700 --> 00:14:06,520
619
+ ุจุฏู‡ ุชุฑุจุฉ ุฑุฎูˆุฉ ูŠู…ุฏ ููŠู‡ุง ุงู„ู†ุจุงุช ูˆุฌุฒูˆุฑู‡ ูˆู…ุงููŠ ู…ุชุฌู…ุฏุฉ
620
+
621
+ 156
622
+ 00:14:06,520 --> 00:14:13,100
623
+ ู…ู† ู‡ู†ุง ุชุฑุจุฉ ูู‚ูŠุฑุฉ ู„ุชุตู„ุญ ู„ู„ุฒุฑุงุน ู„ู‡ุฐุง ุชุนูŠุด ุญูŠูˆุงู†ุงุช
624
+
625
+ 157
626
+ 00:14:13,100 --> 00:14:19,780
627
+ ุงู„ุฑู†ุน ุนู„ูŠู‡ุง ุจุณุจุจ ุฃู†ู‡ ุชู†ู…ูˆ ุงู„ุชุญุงู„ุจ ุงู„ุฌู„ุฏูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
628
+
629
+ 158
630
+ 00:14:19,780 --> 00:14:22,600
631
+ ุฒูŠ ุงู„ุฑูŠู… ุงู„ุฃุฎุถุฑ ุงู„ู„ูŠ ุจู†ุดูˆูู‡ ููŠ ุงู„ุจุญุฑ ูŠุนูŠุด ุนู„ูŠู‡ุง
632
+
633
+ 159
634
+ 00:14:22,600 --> 00:14:26,680
635
+ ุงู„ุญูŠูˆุงู†ุงุช ุทุจุนุง ู‡ุฐุง ุบุฒุงู„ ู„ู‡ ุงูŠู‡ุŸู‚ุฑูˆู† .. ุจุชุดูˆููˆู‡ ููŠ
636
+
637
+ 160
638
+ 00:14:26,680 --> 00:14:33,300
639
+ ุงู„ุชู„ูŠูุฒูŠูˆู† ุทุจุนุง ู‡ุฐุง ุจูŠุนูŠุด ููŠ ู…ู†ุงุทู‚ ุงู„ุฎู„ุงุก ู„ุฃู† ู„ูˆ
640
+
641
+ 161
642
+ 00:14:33,300 --> 00:14:36,820
643
+ ุจุฏูŠุฌูŠ ุนู„ู‰ ู…ู†ุงุทู‚ ู‚ุฑูŠุจุฉ ู…ู† ุงู„ Sonobari ุงู„ู„ูŠ ู‡ูŠ
644
+
645
+ 162
646
+ 00:14:36,820 --> 00:14:42,360
647
+ ุงู„ุฌุงู†ุจ ู…ู†ู‡ ู…ู…ูƒู† ู‚ุฑูˆู†ู‡ ุชุนูŠู‚ ุญุฑูƒุฉ ุงู„ุบุฒุงู„ ูˆุงู„ุณุฑุนุฉ
648
+
649
+ 163
650
+ 00:14:42,360 --> 00:14:50,320
651
+ ูู‡ู…ุชูˆุงุŸ ูŠุชูƒุณุจ ุงู„ู†ูˆุน ุงู„ุณุงุจุน ู…ู† ุชุฑุจุฉ ุงู„ุจุญุฑ ุงู„ู…ุชูˆุณุท
652
+
653
+ 164
654
+ 00:14:51,890 --> 00:14:55,170
655
+ ู‡ุฐู‡ ุงู„ุณู…ุงุนุฉ ุชุฑุจุท ุงู„ุชูŠุฑุงุฑูˆุณุฉุŒ ู†ุนู… ูŠุง ุณู…ุงุนุฉุŒ ูŠุง
656
+
657
+ 165
658
+ 00:14:55,170 --> 00:15:00,390
659
+ ุฃุณู…ุงุกุŒ ู†ุนู… ุจุณ
660
+
661
+ 166
662
+ 00:15:00,390 --> 00:15:04,870
663
+ ููŠ ุงู„ุตูŠูุŒ ุงู„ู„ูŠ ู‡ูˆ ูƒุฏู‡ ู…ุฏุฉ ุงู„ุตูŠู ููŠู‡ุง ูŠุง ุฃุณู…ุงุกุŸ
664
+
665
+ 167
666
+ 00:15:04,870 --> 00:15:12,810
667
+ ุดู‡ุฑูŠู†ุŒ ุดู‡ุฑูŠู†ุŒ ูˆุฅู† ู‡ู†ุงูƒ ุนุดุฑ ุดู‡ูˆุฑุŒ ุนุดุฑ ุดู‡ูˆุฑุŒ ุฃู‡ุŒ ู„ูƒู†
668
+
669
+ 168
670
+ 00:15:12,810 --> 00:15:17,750
671
+ ู„ู…ุง ู†ู‚ูˆู„ ุฅู†ู‡ ููŠ ุณุช ุดู‡ูˆุฑุŒ ู†ู‡ุงุฑุŒ ุณุช ุดู‡ูˆุฑุŒ ู„ูŠู„ุŒ ู…ุชู‰
672
+
673
+ 169
674
+ 00:15:17,750 --> 00:15:18,750
675
+ ูŠูƒูˆู† ูŠุง ุฃุณู…ุงุกุŸ
676
+
677
+ 170
678
+ 00:15:21,760 --> 00:15:25,520
679
+ ู„ู…ุง ุชูƒูˆู† ุนู„ู‰ ู…ุฏุงุฑ ุงู„ุณู„ุทุงู† ุจูŠูƒูˆู† ุฏุฎู„ู†ุง ููŠ ุณุช ุดู‡ูˆุฑ
680
+
681
+ 171
682
+ 00:15:25,520 --> 00:15:29,160
683
+ ุงู„ู†ู‡ุงุฑุŒ ู„ู…ุง ุชูƒูˆู† ุงู„ุดู…ุณ ุนู„ู‰ ู…ุฏุงุฑ ุงู„ุฌุฏูŠ ุฏุฎู„ู†ุง ููŠ ุณุช
684
+
685
+ 172
686
+ 00:15:29,160 --> 00:15:36,180
687
+ ุดู‡ูˆุฑ ุงู„ู„ูŠู„ุŒ ู…ุงุดูŠุŸ ุทูŠุจุŒ ุงู„ู…ุชูˆุณุท ู…ุนู†ุงู‡ ุชูŠุฑุงุฑ ุงู„ุณุงุนุฉ
688
+
689
+ 173
690
+ 00:15:36,180 --> 00:15:43,610
691
+ ุงู„ู„ูŠ ู‡ูŠ ุชุฑุจุฉ ู„ุฅู†ู‡ ุบู†ูŠุฉ ุงู„ู…ู†ุทู‚ุฉ ุจุงู„ุฌูŠุจูˆุงู„ูƒุงู„ุณูŠูˆู…
692
+
693
+ 174
694
+ 00:15:43,610 --> 00:15:48,690
695
+ ูˆุฅู† ู‡ูŠ ุชุฑุจุฉ ุฃูŠุถุง ู…ุดุชู‚ุฉ ู…ู† ู‡ุฐู‡ ุงู„ุตุฎูˆุฑ ูุณู…ูŠุช ุจู‡ุฐู‡
696
+
697
+ 175
698
+ 00:15:48,690 --> 00:15:54,890
699
+ ุงู„ุฃุณุงู…ูŠ ู„ูƒู† ุชู†ู‚ุณู… ุชุฑุจุฉ ุงู„ู…ุชูˆุณุท ุฅู„ู‰ ู‚ุณู…ูŠู† ููŠ ุดุฑู‚
700
+
701
+ 176
702
+ 00:15:54,890 --> 00:15:59,330
703
+ ุงู„ู…ุชูˆุณุท ุงู„ุชุฑุจุฉ ุชู…ูŠู„ ู„ู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ูˆุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ
704
+
705
+ 177
706
+ 00:15:59,330 --> 00:16:05,760
707
+ ู…ุนู†ุงู‡ ุงุฑุชูุงุน ู†ุณุจุฉ ุงู„ูƒุณูŠุฏ ุงู„ุญุฏูŠุฏุฃู…ุง ููŠ ุบุฑุจ ุงู„ู…ุชูˆุณุท
708
+
709
+ 178
710
+ 00:16:05,760 --> 00:16:10,740
711
+ ุชู…ูŠู„ ุงู„ุชุฑุจุฉ ุฅู„ู‰ ุงู„ู„ูˆู† ุงู„ุฃุณูˆุฏ ู„ุฃู† ุงู„ุญูŠุงุฉ ุงู„ู…ุทุฑูŠุฉ
712
+
713
+ 179
714
+ 00:16:10,740 --> 00:16:17,620
715
+ ู‡ู†ุงูƒ ุฃูƒุซุฑ ู…ู† ุดุฑู‚ ุงู„ู…ุชูˆุณุท ุดุฑู‚ ุงู„ู…ุชูˆุณุท ูƒู…ูŠุฉ ุงู„ุฃู…ุทุงุฑ
716
+
717
+ 180
718
+ 00:16:17,620 --> 00:16:23,960
719
+ ุฃู‚ู„ ุจูƒุซูŠุฑ ู…ู† ุบุฑุจู‡ ูˆุจุงู„ุชุงู„ูŠ ุงู„ุญูŠุงุฉ ุงู„ุญูŠุงุชูŠุฉ ููŠ ุบุฑุจู‡
720
+
721
+ 181
722
+ 00:16:23,960 --> 00:16:30,780
723
+ ุฃูƒุซุฑ ูุชุคุซุฑ ุนู„ู‰ ู„ูˆู† ุงู„ุชุฑุจุฉูˆู„ูˆ ุฌุงู†ุง ุณุคุงู„ ู…ุง ู†ูุณุฑ ุดุฑู‚
724
+
725
+ 182
726
+ 00:16:30,780 --> 00:16:37,220
727
+ ุงู„ู…ุชูˆุณุท ุชุฑุจุฉ ุญู…ุฑุงุก ูˆุบุฑุจู‡ ุชุฑุจุฉ ุณู…ุฑุงุก ุจู†ู‚ูˆู„ ุจุณุจุจ
728
+
729
+ 183
730
+ 00:16:37,220 --> 00:16:44,660
731
+ ุงู„ุญูŠุงุฉ ุนู„ู‰ ุณุทุญ ู‡ุฐุง ุงู„ู…ู†ุทู‚ุฉ ุงู† ุบุฑุจู‡ ูู‚ูŠุฑ ู„ุฃ ุบู†ูŠ
732
+
733
+ 184
734
+ 00:16:44,660 --> 00:16:50,320
735
+ ุฃุบู†ู‰ ู…ู† ุดุฑู‚ู‡ ุจุงู„ุญูŠุงุฉ ุงู„ุญูŠุงุชูŠุฉ ุงู„ุชูŠ ุชุฃุซุฑ ู„ุฃู† ู…ุง ุนู„ู‰
736
+
737
+ 185
738
+ 00:16:50,320 --> 00:17:01,350
739
+ ุงู„ุงู„ุชุฑุจุฉ ู‡ูŠ ู†ุชุงุฌ ู„ู…ูƒูˆู†ุงุช ุงู„ุชุฑุจุฉ ุงู„ุชุฑุจุฉ
740
+
741
+ 186
742
+ 00:17:01,350 --> 00:17:09,970
743
+ ุงู„ููŠุถูŠุฉ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุฌู…ูŠุน ุฃู†ู‡ุงุฑ ุงู„ู‚ุงุฑุฉ ูˆู‡ูŠ ุชุฑุจุฉ ุบู†ูŠุฉ
744
+
745
+ 187
746
+ 00:17:09,970 --> 00:17:11,090
747
+ ุจู…ูƒูˆู†ุงุชู‡ุง
748
+
749
+ 188
750
+ 00:17:13,670 --> 00:17:19,830
751
+ ุงู„ุณุทุญ ุจูŠุญู„ู„ ู…ูƒูˆู†ุงุช ุงู„ุณุทุญ ุงู„ุตุฎุฑูŠุฉ ูˆ ุจูŠุญู…ู„ ู…ุนุงู‡
752
+
753
+ 189
754
+ 00:17:19,830 --> 00:17:23,730
755
+ ุงู„ุฑู…ุงู„ ุงู„ุฏู‚ูŠู‚ุฉ ุฌุฏุง ูˆ ุจูŠุฑุณูู‡ุง ุงู…ุง ุนู„ู‰ ุฌุงู†ุจูŠู‡ ู‡ุฐุง
756
+
757
+ 190
758
+ 00:17:23,730 --> 00:17:30,210
759
+ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ ุงู„ูˆุฏูŠ ุงูˆ ููŠ ุฏู„ุชุง ุงูˆ ููŠ ุฏู„ุชุง ู„ูƒู† ุดูู†ุง
760
+
761
+ 191
762
+ 00:17:30,210 --> 00:17:36,430
763
+ ุงู† ุจุนุถ ุงู„ุฃู†ู‡ุงุฑ ู„ูŠุณ ู„ู‡ุง ุฏู„ุชูˆุงุช ููŠ ุฃุณูŠุง ุงู†ู…ุง ู„ู‡ุง
764
+
765
+ 192
766
+ 00:17:36,430 --> 00:17:39,550
767
+ ุฌุงู†ุจูŠู‡
768
+
769
+ 193
770
+ 00:17:39,550 --> 00:17:41,510
771
+ ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง ููŠ ุงู„ุฌูŠู…ูˆูู„ูˆุฌูŠุง ุฎุฏุชูˆุง
772
+
773
+ 194
774
+ 00:17:41,510 --> 00:17:45,860
775
+ ุงู„ุฌูŠู…ูˆูู„ูˆุฌูŠุง ุงู†ุชูˆุงุจุชุงุฎุฏ ููŠู‡ุง .. ุจูŠุณู…ูŠู‡ุง ุงู„ู…ุตุงุทุจ
776
+
777
+ 195
778
+ 00:17:45,860 --> 00:17:49,260
779
+ ุงู„ู†ู‡ุฑูŠุฉุŒ ุฎุฏุชูˆู‡ุง ุงู„ู…ุตุงุทุจ ุงู„ู†ู‡ุฑูŠุฉุŸ ุฎุฏุชูˆุง ุงู„ุฃุณุฑ
780
+
781
+ 196
782
+ 00:17:49,260 --> 00:17:53,560
783
+ ุงู„ู†ู‡ุฑูŠุŸ ุทูŠุจ ู‡ูŠ ุฅูŠู‡ุŸ ูŠุนู†ูŠ ุฅูŠู‡ุŸ ูˆุฑุงู‡ุงุŒ ุงู„ู…ุตุงุทุจ
784
+
785
+ 197
786
+ 00:17:53,560 --> 00:17:56,240
787
+ ุงู„ู†ู‡ุฑูŠุฉุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ุฏุฑุฌุงุช
788
+
789
+ 198
790
+ 00:18:03,610 --> 00:18:08,670
791
+ ุดุจู‡ ุจุงู„ู…ุฏุฑุฌุงุชุŒ ุจุณ ุนู„ู‰ ุฌุงู†ุจูŠ ุงู„ู…ุฌุฑุฉุŒ ู„ู‡ุฐุง ุงุญู†ุง ูƒู†ุง
792
+
793
+ 199
794
+ 00:18:08,670 --> 00:18:12,850
795
+ ุฒู…ุงู† ููŠ ุงู„ุชุงุฑูŠุฎ ู†ุฏุฑุณ ุงู† ุงู„ูู„ุงุญ ุงู„ู…ุตุฑูŠ ูƒุงู† ูุต ุงู„ุตูŠู
796
+
797
+ 200
798
+ 00:18:12,850 --> 00:18:17,570
799
+ ูŠุฒุฑุน ุนู„ู‰ ุงู„ู‡ุถุจุฉุŒ ู„ูŠุดุŸ ู„ุฃู† ููŠุถุงุก ู†ู‡ุฑ ุงู„ู†ูŠู„ ุจูŠุฑูุน
800
+
801
+ 201
802
+ 00:18:17,570 --> 00:18:21,620
803
+ ู…ุณุฆูˆุจ ุงู„ู…ูŠุงู‡ ููŠู‡ูˆ ููŠ ูุตู„ ุงู„ุดุชุงุก ุจูŠู†ุฒู„ ุงู„ู‰ ุงู„ูˆุงุฏูŠ
804
+
805
+ 202
806
+ 00:18:21,620 --> 00:18:27,740
807
+ ู„ุฒุฑุงุนุฉ ุนู„ู‰ ุงู„ู…ุณุงุทุจ ุงู„ู†ู‡ุฑูŠุฉ ุงูŠุถุง ุชุฑุจุฉ ุบู†ูŠุฉ ุฌุฏุง ูˆ
808
+
809
+ 203
810
+ 00:18:27,740 --> 00:18:33,400
811
+ ู„ุงู† ุงู„ุชุฑุจุฉ ู…ุชูˆูุฑุฉ ูˆ ุงู„ุฒุฑุงุนุฉ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู…ูŠุงู‡ ุนู„ู‰
812
+
813
+ 204
814
+ 00:18:33,400 --> 00:18:39,880
815
+ ู…ุฏุงุฑ ุงู„ุนุงู… ูู‚ุฏ ู‚ุงู…ุช ุงู„ุญุถุงุฑุงุช ุนู„ู‰ ุฏูุงู ุงู„ุฃู†ู‡ุงุฑ
816
+
817
+ 205
818
+ 00:18:39,880 --> 00:18:45,210
819
+ ุนุงุฑููŠู† ุงู„ุญุถุงุฑุงุช ุงู„ู„ูŠ ู‚ุงู…ุช ููŠ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠุŸุฃู†ุง
820
+
821
+ 206
822
+ 00:18:45,210 --> 00:18:49,470
823
+ ู‚ุจู„ูŠู† ุณุฃู„ูƒู… ุณุคุงู„ ุงู„ุญุถุงุฑุฉ ุงู„ู„ุชูŠ ู‚ุงู…ุช ุนู„ู‰ ุฌุจุงู„
824
+
825
+ 207
826
+ 00:18:49,470 --> 00:18:54,310
827
+ ุงู„ุฃู†ุฏูŠุฒ ููŠ ุฃู…ุฑูŠูƒุง ุงู„ุฌู†ูˆุจูŠุฉ ุญุถุฑุช ุจุนุฏูŠู† ุจู†ู‚ูˆู„ูƒ ู‡ุฐุง
828
+
829
+ 208
830
+ 00:18:54,310 --> 00:19:03,330
831
+ ุงู‡ ุชูุถู„ูŠ ูŠุง ุฃุณู…ุงุก ุงู„ุงู†ูƒุง ุงู„ุงู†ูƒุง
832
+
833
+ 209
834
+ 00:19:03,330 --> 00:19:08,770
835
+ ุนู„ู‰ ุฌุจุงู„ ุงู„ุฃู†ุฏูŠุฒ ุงู„ุชุฑุจุฉ ุงู„ุจุฑูƒุงู†ูŠุฉ ุทุจุนุง ุนุงุฑููŠู†
836
+
837
+ 210
838
+ 00:19:08,770 --> 00:19:15,770
839
+ ุงู†ุชูˆุง ุงู„ุจุฑูƒุงู† ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู…ุตู‡ูˆุฑุงุชู…ุนุฏู†ูŠุฉ ูˆุณุฎุฑูŠุฉ ููŠ
840
+
841
+ 211
842
+ 00:19:15,770 --> 00:19:18,990
843
+ ุจุงุทู‰ ุงู„ุฃุฑุถ ู†ุชูŠุฌุฉ ุงู„ุงุฑุชูุงุน ุงู„ุญุฑุงุฑู‰ ุณู†ุฉ ุญุชู‰ ุชู„ู‡ุง
844
+
845
+ 212
846
+ 00:19:18,990 --> 00:19:22,850
847
+ ุงู„ูุฑุตุฉ ุชุทู„ุน ุนู„ู‰ ุณุทุญ ุงู„ุฃุฑุถ ุบู†ูŠุฉ ุฌุฏุง ุจุงู„ู…ุนุฏู† ุนุดุงู† ู‡ูŠ
848
+
849
+ 213
850
+ 00:19:22,850 --> 00:19:28,600
851
+ ุชุตู„ ู„ุฒุฑุงุนุฉ ุงู„ู‚ุทู† ููŠ ุงู„ู‡ู†ุฏูˆุฒุฑุงุนุฉ ุงู„ุจูˆู† ููŠ ุงู„ูŠู…ู†
852
+
853
+ 214
854
+ 00:19:28,600 --> 00:19:33,340
855
+ ูˆุฒุฑุงุนุฉ ุงู„ุจูˆู† ููŠ ุงู„ูŠู…ู† ูˆุงุญู†ุง ุจู†ุดูˆู ุทุจุนุง ู…ุง ูŠู‚ูˆู„ูˆุง
856
+
857
+ 215
858
+ 00:19:33,340 --> 00:19:38,620
859
+ ููŠู‡ ุจุฑูƒุงู† ุณูŠู†ูุฌุฑ ุญุชู‰ ูƒุงู…ูŠุฑุงุช ุงู„ุฅุนู„ุงู… ุนู„ู‰ ุทูˆู„ ุจุชุตูˆุฑ
860
+
861
+ 216
862
+ 00:19:38,620 --> 00:19:42,900
863
+ ู‡ุฐุง ุงู„ู…ุดู‡ุฏ ูˆุงู„ุฏูˆู„ุฉ ุชุญุฐุฑ ุงู„ุณูƒุงู† ู„ุฅู‚ุชุฑุงุญู‡ ู…ู† ู…ู†ุทู‚ุงุช
864
+
865
+ 217
866
+ 00:19:42,900 --> 00:19:48,240
867
+ ู„ุฃู†ู‡ ุจุชุทู„ุน ู…ู†ู‡ ุญู…ุงู… ุฏุฑุฌุงุช ุญุฑุงุฑุฉ ุฃูƒุชุฑ ู…ู† 2000 ุฏุฑุฌุฉ
868
+
869
+ 218
870
+ 00:19:48,240 --> 00:19:52,480
871
+ ู…ุฆูˆูŠุฉ ู„ูƒู† ู…ุง ูŠุชู„ู…ุณ ุงู„ู‡ูˆุงูŠ ุงู„ุณุทุญูŠ ูˆุงู„ุฃุฑุถ ุญุชู‰ ุชุจุฏุฃ
872
+
873
+ 219
874
+ 00:19:53,190 --> 00:19:57,410
875
+ ุชุจุฑุฏ ูˆ ู‡ูŠ ุชุฑุจุฉ ุบู†ูŠุฉ ุฌุฏุง ู„ู„ุฒุฑุงุน ุงู„ุชุฑุจุฉ ุงู„ light red
876
+
877
+ 220
878
+ 00:19:57,410 --> 00:20:04,430
879
+ ุงู„ุญู…ุฑุงุก ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ู†ุงุทู‚ ุงู„ุงุณุชูˆุงุนูŠุฉ ุงู†ุชุจู‡ูˆุง ูŠุนู†ูŠ
880
+
881
+ 221
882
+ 00:20:04,430 --> 00:20:07,590
883
+ ู…ู…ูƒู† ุงู†ุง ุงู…ูŠุฒ ุงู„ุชุฑุจุฉ ุงู„ู„ุชูŠ ุชู‚ุน ููŠ ุงุณุณ ุฒูŠ ุงู„ light
884
+
885
+ 222
886
+ 00:20:07,590 --> 00:20:11,950
887
+ red ู…ุซู„ุง ุชู‚ุน ุนู„ู‰ ุฎุท ุงู„ุงุณุชูˆุงุน ู†ุชูŠุฌุฉ ุงู„ุฃู…ุทุงุฑ ุงู„ุบุฒูŠุฑุฉ
888
+
889
+ 223
890
+ 00:20:11,950 --> 00:20:18,990
891
+ ุชุนู…ู„ ุนู„ู‰ ุบุณูŠู„ ู…ูƒูˆู†ุงุช ุงู„ุชุฑุจุฉ ุบุณูŠู„ ู…ูƒูˆู†ุงุช ูˆู„ู… ูŠุจู‚ู‰
892
+
893
+ 224
894
+ 00:20:18,990 --> 00:20:23,700
895
+ ู…ู† ู‡ุฐู‡ ุงู„ู…ูƒูˆู†ุงุช ุณูˆุงุก ุงูŠุดุงู„ุญุฏูŠุฏ ู„ุงู† ู‡ูˆ ุจูŠู‚ุงูˆู…
896
+
897
+ 225
898
+ 00:20:23,700 --> 00:20:29,700
899
+ ุนู…ู„ูŠุงุช ุงู„ุตุฏู‚ ุงูˆ ุนู…ู„ูŠุงุช ุงู„ุงุฐุงุจุฉ ู…ุฏุฉ ุฃุทูˆู„ุŒ ูุฃุตุจุญ ู…ูŠู„
900
+
901
+ 226
902
+ 00:20:29,700 --> 00:20:34,860
903
+ ุงู„ุชุฑุจุฉ ุฅู„ู‰ ุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑุŒ ูˆู‡ูŠ ุชุฑุจุฉ ุทุจุนุง ูู‚ูŠุฑุฉ ู„ุฃู†
904
+
905
+ 227
906
+ 00:20:34,860 --> 00:20:39,870
907
+ ูƒู„ ุงู„ุนู†ุงุต ุงู„ู…ุชูƒูˆู†ุฉ ุงู†ู‡ุง ุชุชุญู„ู„ุชู†ุฒู„ ุฅู„ู‰ ุงูŠู‡ุŸ ู…ุง
908
+
909
+ 228
910
+ 00:20:39,870 --> 00:20:46,050
911
+ ุงู„ูุฑู‚ ุจูŠู† ุจุทู† ุงู„ุชุฑุจุฉ ู‡ู†ุง ูˆุงู„ุจูˆุฒู„ ุงู† ุงู„ุจูˆุฒู„ ู…ู†ุทู‚ุฉ
912
+
913
+ 229
914
+ 00:20:46,050 --> 00:20:50,870
915
+ ู…ุชุฌู…ุฏุฉ ุงู„ุทุจู‚ ุงู„ุณูู„ูŠุฉ ู…ู† ุงู„ุจูˆุฒู„ ู…ุชุฌู…ุฏุฉ ุจุณุจุจ ุงุชุฎูุงุก
916
+
917
+ 230
918
+ 00:20:50,870 --> 00:20:56,770
919
+ ุงู„ุฏุฑุฌุงุช ู„ูƒู† ููŠู‡ ุงู„ light ray ุญุฑุงุฑุฉ ุนุงู„ูŠุฉ ูˆุจุงู„ุชุงู„ูŠ
920
+
921
+ 231
922
+ 00:20:56,770 --> 00:21:01,470
923
+ ู…ู…ูƒู† ุชุชุณุฑุจ ู…ูƒูˆู†ุงุช ุงู„ุชุฑุจุฉ ุงู„ู…ุญู„ู„ุฉ ุฅู„ู‰ ุจุทู† ูŠุนู†ูŠ ุชุจุนุฏ
924
+
925
+ 232
926
+ 00:21:01,470 --> 00:21:05,010
927
+ ุนู† ุงู„ุณุทุญ ุงู„ู„ูŠ ู‚ุงุจู„ ู„ู„ุฒุฑุงุนุฉ ุนุดุงู† ู‡ูŠูƒ ุชู†ุดู‰ ุงู„ุฒุฑุงุนุฉ
928
+
929
+ 233
930
+ 00:21:06,030 --> 00:21:12,430
931
+ ุงู„ุจุฏุงุฆูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุงุทู‚ ุฃูˆ ุงู„ุฒุฑุงุน ุงู„ู…ุชู†ู‚ู„ุฉ ู…ุงุดูŠุŸ
932
+
933
+ 234
934
+ 00:21:12,430 --> 00:21:20,110
935
+ ููŠ ุญุฏ ุนู†ุฏู‡ ุณูุณุงู‡ุฉ ุนู† ุงู„ุชุฑุจุฉ
936
+
937
+ 235
938
+ 00:21:20,110 --> 00:21:23,250
939
+ ูู‡ู…ุช
940
+
941
+ 236
942
+ 00:21:23,250 --> 00:21:29,730
943
+ ุงู„ุชุฑุจุฉ ูŠุนู†ูŠ ู‚ู„ู†ุง ู„ูƒู… ุงู†ู‡ ู…ู…ูƒู† ุชุงุฎุฏูˆู‡ุง ููŠ ุงู„ุทุจูŠุนูŠุฉ
944
+
945
+ 237
946
+ 00:21:30,580 --> 00:21:33,500
947
+ ู…ู…ูƒู† ุชุงุฎุฏูˆู‡ุง ููŠ ุงู„ุนุงู„ู… ุงู„ุฅุณู„ุงู…ูŠุŒ ู…ู…ูƒู† ุชุงุฎุฏูˆู‡ุง ููŠ
948
+
949
+ 238
950
+ 00:21:33,500 --> 00:21:37,860
951
+ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠุŒ ูˆุฅู† ุฃุฎุฏู‡ุง ููŠ ุงู„ุนุงู„ู… .. ูŠุนู†ูŠ ูŠุชูƒุฑุฑ
952
+
953
+ 239
954
+ 00:21:37,860 --> 00:21:45,040
955
+ ุงู„ุนู„ู… ูˆุงู„ุชูƒุฑุงุฑ ู„ุงุฒู… ูŠุนู„ู… ุงู„ุดุชุงุก ู†ุงุฎุฏ ุงู„ุณูƒุงู† ููŠ
956
+
957
+ 240
958
+ 00:21:45,040 --> 00:21:51,080
959
+ ุงู„ู‚ุงุฑุฉ ุฃุณูŠุง ุงู„ุณูƒุงู† ููŠ ู‚ุงุฑุฉ ุฃุณูŠุง ุงู„ู„ูŠ ุนู†ุฏู‡ ุชุนุฑุถ
960
+
961
+ 241
962
+ 00:21:51,080 --> 00:21:56,620
963
+ ู…ู…ูƒู† ูŠุฑูˆุญ ูŠุชูุถู„ ูŠุฑูˆุญ ู…ุงุดูŠ ุญุงุถุฑ ุจุงุฑูƒ ุงู„ู„ู‡ ููŠ ุญุณู†ุงุชูƒ
964
+
965
+ 242
966
+ 00:21:56,620 --> 00:22:03,970
967
+ ุด ุงุณู… ู‚ู„ุชูŠ ู„ูŠู‡ุŸุฑุงู†ูŠุง ุฃุจูˆ ุฑู…ูŠุฉ ู…ู† ุงู„ุนู†ู‚ูˆู…
968
+
969
+ 243
970
+ 00:22:03,970 --> 00:22:09,630
971
+ ุงู„ู„ุงุดุนุจ ููŠ ุฌู‡ุงุฏ ุฃู†ุชู… ูุนู„ุง ุงู„ู…ุฑุฃุฉ ุงู„ูู„ุณุทูŠู†ูŠุฉ ููŠ
972
+
973
+ 244
974
+ 00:22:09,630 --> 00:22:13,990
975
+ ุฌู‡ุงุฏ ุฒูŠ ู…ุง ู‚ู„ุชู„ูƒู… ุฏุงุฆู…ุง ุจุชุฐูƒุฑ ูƒู„ุงู… ุงู„ุฏูƒุชูˆุฑ ู„ู…ุง
976
+
977
+ 245
978
+ 00:22:13,990 --> 00:22:19,430
979
+ ูŠู‚ูˆู„ ู„ูŠ ุฃู† ู…ุฑุฃุฉ ุฌุฒุงุฆุฑูŠุฉ ุฎู„ุฏุช ููŠ ุฌู…ูŠู„ุฉ ุฃุจูˆ ุญุฑูŠุฏ ู„ูƒู†
980
+
981
+ 246
982
+ 00:22:19,430 --> 00:22:27,490
983
+ ุงู„ูู„ุณุทูŠู†ูŠุงุช ุฃู„ุงู ุงู„ุฌู…ูŠู„ุฉ ุฃุจูˆ ุญุฑูŠุฏ ุงู„ุณูƒุงู†
984
+
985
+ 247
986
+ 00:22:28,340 --> 00:22:32,380
987
+ ุงู„ู…ูˆุทู† ุงู„ุฃุตู„ูŠ ู„ู„ุณู„ุงู„ุฉ ุงู„ุณูุฑุงุก ุนุงุฑููŠู† ุงู„ุณู„ุงู„ุฉ
988
+
989
+ 248
990
+ 00:22:32,380 --> 00:22:38,080
991
+ ุงู„ุณูุฑุงุกุŸ ูˆู‚ู„ู†ุง ููŠ ุงู„ู†ู‡ุฑ ุงู„ุฃุตูุฑ ูŠุง ุฑูŠู… ููŠ ุขุณูŠุง ุตุญ
992
+
993
+ 249
994
+ 00:22:38,080 --> 00:22:43,600
995
+ ูˆู„ุง ู„ุงุŸ ููŠ ุงู„ุณู„ุงู„ุฉ ุงู„ุณูุฑุงุก ูˆููŠ ุงู„ู†ู‡ุฑ ุงู„ุฃุตูุฑ ุชู‚ุฏุฑ
996
+
997
+ 250
998
+ 00:22:43,600 --> 00:22:50,600
999
+ ูŠุง ุฃุจูˆ ุดุนุจุงู† ุชู‚ูˆู„ูŠู† ู„ูŠู‡ ุณู…ูŠุช ุงู„ุณู„ุงู„ุฉ ุงู„ุณูุฑุงุกุŸ
1000
+
1001
+ 251
1002
+ 00:22:55,560 --> 00:22:59,640
1003
+ ู„ุฃู† ุงู„ู„ูˆู† ุงู„ุฃุตูุฑ ูŠุนู†ูŠ ุงุญู†ุง ุจู†ุดูˆู ุงู„ุณู„ุงู„ุฉ ูŠุนู†ูŠ
1004
+
1005
+ 252
1006
+ 00:22:59,640 --> 00:23:04,280
1007
+ ุงู„ู„ูˆู† ููŠ ุฃูˆุฑูˆุจุง ูŠุบู„ุจ ุนู„ูŠู‡ ุงู„ุจูŠุงุฑ ููŠ ุฃุณูŠุง ุฃูˆ ุดุฑู‚ู‡ุง
1008
+
1009
+ 253
1010
+ 00:23:04,280 --> 00:23:08,840
1011
+ ุงู„ู„ูˆู† ุงู„ุฃุตูุฑ ุนู†ุฏู†ุง ููŠ ุงู„ู…ุชูˆุณุท ุงู„ุจู† ุงู„ุจู† ุงู„ูุงุชุญ
1012
+
1013
+ 254
1014
+ 00:23:08,840 --> 00:23:12,160
1015
+ ุงู„ู„ูŠ ู…ู…ูƒู† ู„ูˆ ุงู†ุญุจุณู„ู‡ ุณู†ุชูŠู† ูŠุทู„ุน ุนุจูŠุฏ ูˆุฅุฐุง ุทู„ุน
1016
+
1017
+ 255
1018
+ 00:23:12,160 --> 00:23:16,800
1019
+ ู„ู„ุดู…ุณ ุซุงู†ูŠู‡ู… ุจูŠุนูˆุฏ ุฅู„ู‰ ุงู„ุจู†ูŠ ุชุจุนู‡ ู…ุงุดูŠุŸ ูˆ ุฃูุฑูŠู‚ูŠุง
1020
+
1021
+ 256
1022
+ 00:23:16,800 --> 00:23:20,980
1023
+ ุงู„ู„ูˆู† ุงู„ุฃุณูˆุฏ ู„ูƒู† ููŠ ุฃูุฑูŠู‚ูŠุง ุจูŠู‚ูˆู„ูˆุด ุนู† ุงู„ุฃุณูˆุฏ ูŠุง
1024
+
1025
+ 257
1026
+ 00:23:20,980 --> 00:23:26,670
1027
+ ุจู†ุงุช ุฅูŠุด ุจูŠู‚ูˆู„ูˆุง ุนู†ู‡ ุงู„ู„ูˆู† ู„ูŠุดุŸ ุงู„ุฃุฒุฑู‚ุงู„ู„ูˆู† ุงู„ุฃุฒุฑู‚
1028
+
1029
+ 258
1030
+ 00:23:26,670 --> 00:23:31,450
1031
+ ุฃู†ุง ุฃู‚ูˆู„ูƒู… ู…ุซุงู„ ูŠุนู†ูŠ ู…ุดู‡ูˆุฏ ุนู†ุง ู‡ู„ ุฌูŠุช ุงุญู†ุง ู„ู…ุง
1032
+
1033
+ 259
1034
+ 00:23:31,450 --> 00:23:38,190
1035
+ ู†ุดูˆู ุงู„ุบุงุฒ ุญุงู…ูŠ ู…ุชูˆุงู‡ุฏ ุฌุฏุงุŒ ุดูˆ ุจู†ู‚ูˆู„ ุนู†ู‡ุŸ ูˆู„ุง ู„ุงุŒ
1036
+
1037
+ 260
1038
+ 00:23:38,190 --> 00:23:43,430
1039
+ ู„ูˆู†ู‡ ุฃุฒุฑู‚ ุฏุงูˆูŠุŒ ุตุญุŸ ุฅุฐุง ูƒู„ู…ุง ุฒุงุฏ ุงู„ู„ูˆู† ุฏูƒุงู†ุฉ ุฅู„ู‰
1040
+
1041
+ 261
1042
+ 00:23:43,430 --> 00:23:49,650
1043
+ ุงู„ุฅุณู…ุฑุงุฑุŒ ู†ุฒุฑู‚ู‡ุŒ ู†ู‚ูˆู„ ุนู†ู‡ ุฃุฒุฑู‚ ุฃุฒุฑู‚ ุฒูŠ ุงู„ู„ูŠู„
1044
+
1045
+ 262
1046
+ 00:23:49,650 --> 00:23:55,970
1047
+ ุงู„ุฏุงูˆูŠุŒ ูˆู„ุง ู…ุตุญูŠุญุŸ ุฃู‡ุงู„ู…ู„ุนูƒ ูƒุงู† ููŠู‡ ุนู†ุฏู†ุง ูˆูู‚ ููŠ
1048
+
1049
+ 263
1050
+ 00:23:55,970 --> 00:24:00,470
1051
+ ุงู„ู…ู„ุนุจุŒ ุงู„ู„ูŠ ู‡ู… ุจูŠุทู„ุน ููŠ .. ููŠ ุจุดุฑุชู‡ู… ู…ุด ุฃุณู…ุฑ ุฃุณู…ุฑ
1052
+
1053
+ 264
1054
+ 00:24:00,470 --> 00:24:05,470
1055
+ ุทุจ ุงุญู†ุง ุนู†ุฏู†ุง .. ุนู†ุฏู†ุง .. ู„ุฃ ู„ุฃ ู„ุฃ ู„ุฃ ุนู†ุฏู†ุง ูŠุนู†ูŠ
1056
+
1057
+ 265
1058
+ 00:24:05,470 --> 00:24:09,450
1059
+ ู†ุงุณ ุฃูุงุถู„ ู…ู† ุงู„ุจุฏูˆ ูˆ ุงุญู†ุง ู…ุงุฎุฏูŠู† ููƒุฑุฉ ุฃู†ู‡ ุงู„ุจุฏูˆ
1060
+
1061
+ 266
1062
+ 00:24:09,450 --> 00:24:17,270
1063
+ ุฏุงูŠู…ุง ุณู…ุฑุŒ ู„ูƒู† ู‡ูŠ ุณู…ูŠุฉ ุจูŠุถุฉ ู…ุด ุณู…ุฑุฉ ูˆู„ุง ู„ุฃุŸุณุญุฑ ุงู‡
1064
+
1065
+ 267
1066
+ 00:24:17,270 --> 00:24:23,490
1067
+ ุณุญุฑ ู‡ูŠ ุงุชุนู…ู„ ุงู„ู‰ ุงู„ุจูŠุงุถ ูˆู„ูŠุณ ุงู„ุณูˆุงู„ ููŠุนู†ูŠ ููŠ ู…ู†
1068
+
1069
+ 268
1070
+ 00:24:23,490 --> 00:24:29,370
1071
+ ูˆู…ู† ุนูŠู„ุฉ
1072
+
1073
+ 269
1074
+ 00:24:29,370 --> 00:24:35,750
1075
+ ู…ู…ุฏูŠู† ุจุฏูˆุง ู„ูƒู† ู‡ูŠ ุจุชู‚ูˆู„ ุฒู…ู„ุชูƒู… ุดุฌุฑ ูˆุนูŠู†ู‡ู… ู„ูˆู†ูŠู† ู…ู†
1076
+
1077
+ 270
1078
+ 00:24:35,750 --> 00:24:42,590
1079
+ ุฃูŠู† ุฌุงุกุช ู„ู†ุง ู‡ุฐู‡ ุงู„ุฃู„ูˆุงู† ู†ุชูŠุฌุฉ ู„ุงุฎุชู„ุงุท ุงู„ุฃู†ุณุจ ููŠ
1080
+
1081
+ 271
1082
+ 00:24:42,590 --> 00:24:49,680
1083
+ ุฃุณูŠุงูุฌุงุกุช ุงู„ูŠู‡ ู„ูƒู† ุนู†ุฏู‰ ูู‰ ูู„ุณุทูŠู† ุงู„ุญุฑูˆุจ ุงู„ุตู„ูŠุจูŠุฉ
1084
+
1085
+ 272
1086
+ 00:24:49,680 --> 00:24:54,420
1087
+ ู…ุชูŠู† ุณู†ุฉ ู‚ุนุฏุช ุฌุฒุก ูƒุจูŠุฑ ู…ู† ุงู„ุตู„ูŠุจูŠูŠู† ุฃุนู„ู†ูˆุง ุฅุณู„ุงู…ู‡ู…
1088
+
1089
+ 273
1090
+ 00:24:54,420 --> 00:24:59,040
1091
+ ูˆุธู„ูˆุง ูู‰ ุงู„ุจู„ุงุฏ ูˆุจุงู„ุชุงู„ูŠ ุธู‡ุฑุช ุนู†ุฏ ุงู„ุณู„ุงู„ุฉ ุงู„ุจูŠุถุงุก
1092
+
1093
+ 274
1094
+ 00:24:59,040 --> 00:25:03,780
1095
+ ุงู„ู…ู‚ูˆู„ ู„ู…ุง ุฌุงุก ุฌุฒุก ูƒุจูŠุฑ ู…ู†ู‡ ุฃุนู„ู† ุฅุณู„ุงู…ู‡ ูˆุธู„ ูู‰
1096
+
1097
+ 275
1098
+ 00:25:03,780 --> 00:25:09,320
1099
+ ูู„ุณุทูŠู† ูุฌุงุช ุงู„ุณู„ุงู„ุฉ ุงู„ุตูุฑุงุก ุงู„ุชุฒูˆุฌ ุจูŠู†ู‡ู…ุง ุฌุงุจ
1100
+
1101
+ 276
1102
+ 00:25:09,320 --> 00:25:11,980
1103
+ ู„ุณู„ุงู„ุฉ ุฅูŠุด ูˆู‡ุฐุง ุงู„ู„ู‰ ุจูŠุณู…ูŠู‡ ุงุญู†ุง ูู‰ ุงู„ู„ุบุฉ ุงู„ุนู„ู…ูŠุฉ
1104
+
1105
+ 277
1106
+ 00:25:11,980 --> 00:25:16,670
1107
+ ุงู„ุชู‡ุฌูŠู† ูˆู„ุง ู„ุงุงู„ู„ูŠ ุจุงู„ุฏูŠู† ุจูŠุงุฎุฏ ุตูุงุช ุญูุณู†ุฉ ู…ู† ู‡ู†ุง
1108
+
1109
+ 278
1110
+ 00:25:16,670 --> 00:25:21,610
1111
+ ูˆุตูุงุช ูƒูˆูŠุณุฉ ู…ู† ู‡ู†ุง ุจูŠุงุฎุฏ ุตูุงุช ูƒุชูŠุฑ ู…ู…ุชุงุฒุฉ ูุงุฎุชู„ุทุช
1112
+
1113
+ 279
1114
+ 00:25:21,610 --> 00:25:25,990
1115
+ ุงู„ุฃู†ุซู‰ ููŠ ู‚ุงุฑุฉ ุขุณูŠุงุŒ ุงู„ุฏู†ูŠ ุทุจุนุง ุชูˆู„ูุฉ ู…ู† ุงู„ุณูƒุงู†ุŒ
1116
+
1117
+ 280
1118
+ 00:25:25,990 --> 00:25:30,830
1119
+ ุฅู„ุง ุฃู†ู‡ ุธู„ุช ุงู„ุตูุงุช ุงู„ุฃุณุงุณูŠุฉ ููŠ ุขุณูŠุงุŒ ุจู†ุงุก ุนู„ู‰ ุฅูŠุดุŸ
1120
+
1121
+ 281
1122
+ 00:25:30,830 --> 00:25:34,930
1123
+ ุณุงุฆุฏุฉุŒ ุจู†ุงุก ุนู„ู‰ ุงู„ุจุนุฏ ุงู„ุฌุบุฑุงููŠุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ู†ู„ุงู‚ูŠ
1124
+
1125
+ 282
1126
+ 00:25:34,930 --> 00:25:38,770
1127
+ ุงู„ุชูƒุงุชู„ ุงู„ุตูŠู†ูŠุŒ ุจุชู…ูŠุฒุด ุญุฏุง ู…ู† ุญุฏุง ููŠ ุงู„ุตูŠู†ุŒ ูˆู„ุง
1128
+
1129
+ 283
1130
+ 00:25:38,770 --> 00:25:44,760
1131
+ ู„ุฃุŸ ูƒู„ู‡ู… ุนู†ุฏู†ุง ุฅูŠุดุŸ one groupูƒู„ู‡ู… ู‡ู†ุง ุฅูŠุดุŸ ุงู„ู‡ูˆุงู†
1132
+
1133
+ 284
1134
+ 00:25:44,760 --> 00:25:48,360
1135
+ ุฌูˆู‡ุŒ ู„ุง ุจุฏ ู…ุง ูŠุฒูƒูˆุฑุง ูˆู„ุง ูŠู†ุงุณุงุŒ ูƒู„ู‡ู… ู†ูุณ ุงู„ุดุงู…ุŒ
1136
+
1137
+ 285
1138
+ 00:25:48,360 --> 00:25:56,740
1139
+ ูƒุฐู„ูƒ ุงู„ูƒูˆุฑูŠูŠู† ุฃูˆ ุงู„ูŠุงุจุงู†ุŒ ูŠู…ูƒู† ุงู„ู‡ู†ูˆุฏ ุดูˆูŠุฉ ู„ุฃู†ู‡
1140
+
1141
+ 286
1142
+ 00:25:56,740 --> 00:25:58,900
1143
+ ู‚ุฑูŠุจูŠู† ุงู„ุณู„ุงู„ุฉ ุงู„ู…ุชูˆุณุทูŠุฉ
1144
+
1145
+ 287
1146
+ 00:26:01,220 --> 00:26:05,540
1147
+ ูุธู„ุช ุงู„ุตูุงุช ุงู„ุณุงุฆุฏุฉ ููŠ ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุณูƒุงู†ูŠุฉ ุงู„ุฑุฆูŠุณูŠุฉ
1148
+
1149
+ 288
1150
+ 00:26:05,540 --> 00:26:10,220
1151
+ ู†ุธุฑุง ู„ุจุนุฏ ุงู„ู‚ุงุฑุฉ ุงู„ู‚ุงุฑุฉ ู…ุงููŠู‡ุง ุชูˆุงุตู„ ุฌูŠะพะณั€ะฐั„ูŠ ู„ุง
1152
+
1153
+ 289
1154
+ 00:26:10,220 --> 00:26:13,700
1155
+ ุดุฑู‚ุง ูˆู„ุง ุบุฑุจุง ูˆู„ุง ุดู…ุงู„ุง ูˆู„ุง ุฌู†ูˆุจุง ุจุณุจุจ ูƒุจุฑู‰
1156
+
1157
+ 290
1158
+ 00:26:13,700 --> 00:26:21,800
1159
+ ูˆุงู„ู…ูˆุงู†ุน ุงู„ุทุจูŠุนูŠุฉ ูˆุงู„ู…ูˆุงู†ุน ุฃูƒุจุฑ ุงู„ู‚ุงุฑุงุช ู…ู† ุญูŠุซ ุนุฏุฏ
1160
+
1161
+ 291
1162
+ 00:26:21,800 --> 00:26:29,030
1163
+ ุงู„ุณูƒุงู† ุฃูƒุชุฑ ู…ู† ๏ฟฝ๏ฟฝุฑุจุน ู…ู„ูŠุงุฑ ู†ุณู…ุฉูŠุนู†ูŠ ุงูƒุชุฑ ู…ู† 64% ู…ู†
1164
+
1165
+ 292
1166
+ 00:26:29,030 --> 00:26:37,670
1167
+ ุงู„ุณูƒุงู† ููŠ ุงู„ุนุงู„ู… ู…ูˆุฌูˆุฏ ููŠ ุฃุณูŠุง ุฏูˆู„ุชูŠู† ุจูŠุชุฒุนู…ุง
1168
+
1169
+ 293
1170
+ 00:26:37,670 --> 00:26:42,900
1171
+ ุณูƒุงู† ุงู„ุนุงู„ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ุตูŠู† ูˆุงู„ู‡ู†ุฏูˆุงู„ูŠูˆู… ุจุฏุฃุช ุงู„ู‡ู†ุฏ
1172
+
1173
+ 294
1174
+ 00:26:42,900 --> 00:26:48,060
1175
+ ุชู‚ุชุฑุจ ู…ู† ุนุฏุฏ ุงู„ุตูŠู† ู„ุฃู†ู‡ ุทุจุนุง ู„ูŠุณ ุนู†ุฏู‡ ู…ุชุญุฏูŠุฏ ู†ุณู„
1176
+
1177
+ 295
1178
+ 00:26:48,060 --> 00:26:53,800
1179
+ ููŠ ุงู„ู‡ู†ุฏ ุฒูŠ ุงู„ุตูŠู† ูˆุจุงู„ุชุงู„ูŠ ุจุฏุฃ ุงู„ุงู†ูุฌุงุฑ ุงู„ุณูƒุงู†ูŠ
1180
+
1181
+ 296
1182
+ 00:26:53,800 --> 00:26:58,100
1183
+ ุงู„ุขู† ู„ูƒู† ู…ุง ูŠู…ูŠุฒ ุงู„ุตูŠู† ุนู† ุงู„ู‡ู†ุฏ ู‡ูˆ ุงู„ู…ุณุงุญุฉ
1184
+
1185
+ 297
1186
+ 00:26:58,100 --> 00:27:03,000
1187
+ ุงู„ุฌูŠะพะณั€ะฐั„ูŠุฉ ุจู†ู‡ุง ุงู„ุตูŠู† ุชู‚ุฑูŠุจุง ุชุณุนุฉ ู…ู„ูŠูˆู† ูƒูŠู„ูˆู…ุชุฑ
1188
+
1189
+ 298
1190
+ 00:27:03,000 --> 00:27:09,630
1191
+ ู…ุฑุจุนุงู„ุตูŠู† ูˆูƒู†ุฏุง ูˆุงู„ูˆู„ุงูŠุงุช ุงู„ู…ุชุญุฏุฉ ุงู„ุฃู…ุฑูŠูƒูŠุฉ ู‡ุฏูˆู„
1192
+
1193
+ 299
1194
+ 00:27:09,630 --> 00:27:15,150
1195
+ ุฐุงุช ุงู„ู…ุณุงุญุงุช ุงู„ุนู…ู„ุงู‚ุฉุŒ ุทุจุนุง ุฑูˆุณูŠุง ุฎุงุฑุฌ ุงู„ู†ุทุงู‚ุŒ
1196
+
1197
+ 300
1198
+ 00:27:15,150 --> 00:27:19,310
1199
+ ุฑูˆุณูŠุง 17 ู…ู„ูŠูˆู† ูŠุนู†ูŠ ุฎุงุฑุฌ ุงู„ู†ุทุงู‚ุŒ ุจุณ ู‡ุฐู‡ ุงู„ูƒุชู„
1200
+
1201
+ 301
1202
+ 00:27:19,310 --> 00:27:23,170
1203
+ ุงู„ุฌุบุฑุงููŠุฉ ุฐุงุช ุงู„ู…ุณุงุญุฉ ุงู„ูƒุจูŠุฑุฉุŒ ูƒู†ุฏุงุŒ ุงู„ูˆู„ุงูŠุงุช
1204
+
1205
+ 302
1206
+ 00:27:23,170 --> 00:27:28,150
1207
+ ุงู„ู…ุชุญุฏุฉุŒ ุงู„ุตูŠู†ุŒ ุงู„ุจุฑุงุฒูŠู„ ุชู‚ุชุฑุจ ูŠุนู†ูŠ ุฃูƒุชุฑ ู…ู† ู‚ุงุฑุฉ
1208
+
1209
+ 303
1210
+ 00:27:29,260 --> 00:27:33,360
1211
+ ุงู„ู…ุณุงุญุฉ ุชู‚ุชุฑุจ ู…ู† ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง ุงู„ู„ูŠ ููŠู‡ุง ู…ู„ูŠุงุฑุŒ ุจุณ
1212
+
1213
+ 304
1214
+ 00:27:33,360 --> 00:27:38,000
1215
+ ุงู„ู‡ู†ุฏ ุดูุช ู…ุณุงุญุชู‡ุง ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ ู…ู„ูŠูˆู† ู…ูŠู„ ู…ุฑุจุนุŒ
1216
+
1217
+ 305
1218
+ 00:27:38,000 --> 00:27:43,200
1219
+ ูŠุนู†ูŠ ุงู„ุตูŠู† ุฌุฏ ุงู„ู‡ู†ุฏ ุฃูƒุชุฑ ู…ู† ุฃุฑุจุน ู…ุฑุงุช ููŠ ุงู„ู…ุณุงุญุฉ
1220
+
1221
+ 306
1222
+ 00:27:46,130 --> 00:27:50,550
1223
+ ุงู„ุฒูŠุงุฏุฉ ุงู„ุณูƒุงู†ูŠุฉ ููŠ ุขุณูŠุง ูŠุนูˆุฏ ุฅู„ู‰ ุฃูŠุดุŸ ุฃุนูˆุงู…
1224
+
1225
+ 307
1226
+ 00:27:50,550 --> 00:27:55,870
1227
+ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ ู„ุงุฒุงู„ุช ุขุณูŠุง ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ู†ุธุงู… ุงู„ู‚ุจู„ูŠุŒ
1228
+
1229
+ 308
1230
+ 00:27:55,870 --> 00:28:01,130
1231
+ ุนุฏุฏ ุงู„ุณูƒุงู† ุงู„ูƒุจูŠุฑุŒ ุงู„ุนุฒูˆุฉ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ุง ุงุญู†ุง ูŠุนู†ูŠุŒ
1232
+
1233
+ 309
1234
+ 00:28:01,130 --> 00:28:09,570
1235
+ ุฃุนูˆุงู… ุงู„ุฏูŠู†ูŠุฉุŒ ูŠุนู†ูŠ ุงู„ุฅุณู„ุงู… ุทุจุนุงุŒ ูˆุงู„ุฏูŠุงู†ุฉ ุงู„ุจูˆุฐูŠุฉ
1236
+
1237
+ 310
1238
+ 00:28:11,580 --> 00:28:16,340
1239
+ ู„ุงุฒุงู„ุช ุชุคุซุฑ ููŠ ุงู„ู†ู…ูˆ ุงู„ุณูƒุงู†ูŠ ููŠ ุฃุณูŠุงุŒ ุนุงู…ู„
1240
+
1241
+ 311
1242
+ 00:28:16,340 --> 00:28:22,880
1243
+ ุงู‚ุชุตุงุฏูŠุฉุŒ ุงู„ูู‚ุฑุŒ ู„ุง ู†ู‚ูˆู„ ุงู„ุบู†ูŠ ูŠุง ุจู†ุงุชุŒ ุงู„ูู‚ุฑ ู…ู†
1244
+
1245
+ 312
1246
+ 00:28:22,880 --> 00:28:27,840
1247
+ ุฃุณุจุงุจ ุงู„ุฒูŠุงุฏุฉ ุงู„ุณูƒุงู†ูŠุฉุฒู…ุงู† ููŠ ุจุฏุงูŠุฉ ุงู„ุซูˆุฑุฉ
1248
+
1249
+ 313
1250
+ 00:28:27,840 --> 00:28:31,100
1251
+ ุงู„ุตู†ุงุนูŠุฉ ููŠ ุฃูˆุฑูˆุจุง ูƒุงู† ุงู„ุนู…ู„ ุงู„ุงู‚ุชุตุงุฏูŠุŒ ุงู†ู‡ ุตุงุฑ
1252
+
1253
+ 314
1254
+ 00:28:31,100 --> 00:28:35,820
1255
+ ููŠู‡ ุซุฑุงุก ุงู‚ุชุตุงุฏูŠุŒ ุตุงุฑ ููŠู‡ ุบู†ุงูŠ ุงู‚ุชุตุงุฏูŠุŒ ูˆุจุงู„ุชุงู„ูŠ
1256
+
1257
+ 315
1258
+ 00:28:35,820 --> 00:28:40,260
1259
+ ุตุงุฑ ููŠู‡ ุชุญุณู† ุตุญูŠุŒ ุตุงุฑ ููŠู‡ ุชุญุณู† ุบุฒุงุฆูŠุŒ ุตุงุฑ ุฒูŠุงุฏุฉ
1260
+
1261
+ 316
1262
+ 00:28:40,260 --> 00:28:44,600
1263
+ ุงู„ุณูƒุงู†ูŠู†ุŒ ู…ุญุฏุด ูŠู…ูˆุชุŒ ู„ูƒู† ุงู„ูŠูˆู… ุงู†ู‚ู„ุจุช ุงู„ู…ูˆุงุฒูŠู†ุŒ
1264
+
1265
+ 317
1266
+ 00:28:44,600 --> 00:28:52,440
1267
+ ุฃูˆุฑูˆุจุง ู‡ุฑู…ุฉุŒ ุงู„ูŠุงุจุงู† ููŠ ุงู„ุฃู„ููŠุฉ ุงู„ุชุงู„ุชุฉ ุณุชูƒูˆู† ูˆุงุญุฏ
1268
+
1269
+ 318
1270
+ 00:28:52,440 --> 00:28:59,400
1271
+ ู†ุณุจุฉุงู„ูŠุงุจุงู† ุงู„ุตูŠู† ุจุฏุฃุช ุชุฎู„ุต ู„ุฃู†ู‡ ูƒู„ ุงุชู†ูŠู† ุจูŠุฌูŠุจูˆุง
1272
+
1273
+ 319
1274
+ 00:28:59,400 --> 00:29:03,780
1275
+ ูˆุงุญุฏ ู…ุน ู†ู‡ุงุฒุฉ ุงู† ุงู„ุฏูˆู„ ุงู„ู…ุชุฎู„ูุฉ ู‡ูŠ ุงู„ุฏูˆู„ ุงู„ู„ุชูŠ ุงูŠู‡
1276
+
1277
+ 320
1278
+ 00:29:03,780 --> 00:29:09,240
1279
+ ุงูƒุชุฑ in Japan ู„ุฏุฑุฌุฉ ุงู† ุงู„ูŠูˆู… ุจูŠู† ุฏูˆู„ ู…ุชู‚ุฏู…ุฉ
1280
+
1281
+ 321
1282
+ 00:29:09,240 --> 00:29:16,040
1283
+ ู…ุณุชู†ูŠุฑุฉ 20% ู…ู† ุณูƒุงู† ุงู„ุนุงู„ู… ูˆุงู„ุฏูˆู„ ุงู„ู…ุชุฎู„ูุฉ 80% ู…ู†
1284
+
1285
+ 322
1286
+ 00:29:16,040 --> 00:29:18,620
1287
+ ุณูƒุงู† ุงู„ุนุงู„ู… ุจู…ุนู†ู‰ ุงู† ุงู„ุฏูˆู„ ุงู„ุบู†ูŠุฉ ุชุฒุฏุงุฏ ุบู†ุงู„
1288
+
1289
+ 323
1290
+ 00:29:18,620 --> 00:29:21,520
1291
+ ูˆุงู„ุฏูˆู„ ุงู„ูู‚ูŠุฑุฉ ุงูŠู‡ ุชุฒุฏุงุฏ
1292
+
1293
+ 324
1294
+ 00:29:26,640 --> 00:29:32,300
1295
+ ู…ู‡ู†ูŠ ุงู„ุซู‚ุงูุฉ ูˆุงู„ุนู„ู…ุŒ ุงู„ุซู‚ุงูุฉ ูˆุงู„ุนู„ู… ูˆุฑุงู‡ ุฒุงู„ุฉุŒ
1296
+
1297
+ 325
1298
+ 00:29:32,300 --> 00:29:42,300
1299
+ ุงู„ูƒุซุงูุฉ ุงู„ุณูƒุงู†ูŠุฉ ููŠ ุฃูˆุฑูˆุจุง ุฑุบู… ุฃู† ู‡ู†ุงูƒ ู…ู†ุงุทู‚ ุดุงุณุนุฉ
1300
+
1301
+ 326
1302
+ 00:29:42,300 --> 00:29:45,780
1303
+ ุฎุงู„ูŠุฉ ู…ู† ุงู„ุณูƒุงู† ุฅู„ุง ุฅู† ู‡ู†ุงูƒ ู…ู†ุงุทู‚ููŠู‡ุง
1304
+
1305
+ 327
1306
+ 00:29:45,780 --> 00:29:50,580
1307
+ overpopulation ุงูŠุด ูŠุนู†ูŠ overpopulation ุงู†ูุฌุงุฑ ุณูƒุงู†
1308
+
1309
+ 328
1310
+ 00:29:50,580 --> 00:29:56,820
1311
+ ุงู†ูุฌุงุฑ ุณูƒุงู†ูŠ ุชุฑูƒุฒ ุงู„ุณูƒุงู† ููŠ ุฏูˆู„ุชูŠู† ุงู„ู‡ู†ุฏ ูˆุงู„ุตูŠู†
1312
+
1313
+ 329
1314
+ 00:29:56,820 --> 00:30:04,100
1315
+ ูŠุนุชุจุฑ ู…ุดูƒู„ุฉ ููŠ ุงู„ูƒุซุงูุฉ ุงู„ุณูƒุงู†ูŠุฉ ููŠ ู…ู†ุงุทู‚ ุทุจุนุง ุญุณุจ
1316
+
1317
+ 330
1318
+ 00:30:04,100 --> 00:30:09,020
1319
+ ุงู„ุณุทุญ ูˆุงู„ู…ู†ุงุฎ ูˆุงู„ู…ูˆุงุฑุฏ ุงู„ุชุฑุจุฉ ุงู„ุทุจูŠุนูŠุฉ ู†ุดูˆู
1320
+
1321
+ 331
1322
+ 00:30:09,020 --> 00:30:11,780
1323
+ ุงู„ุฎุฑูŠุทุฉ ุนู†ุฏู‰ ุงูŠุด ุจุชุฏูŠู†ูŠ
1324
+
1325
+ 332
1326
+ 00:30:16,180 --> 00:30:20,780
1327
+ ุจุงู‚ูŠ ุฃุณู‡ู„ุŒ ุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ู‡ุฐุง ู‡ูˆ ุฅูŠุดุŸ ูุงุถูŠ ู…ู†
1328
+
1329
+ 333
1330
+ 00:30:20,780 --> 00:30:25,440
1331
+ ุงู„ุณูƒุงู†ุŒ ุฎุงู„ูŠุฉ ู…ู† ุงู„ุณูƒุงู†ุŒ ุงู„ู…ู†ุงุทู‚ ุงู„ุฌู„ุฏูŠุฉ ุฎุงู„ูŠุฉ ู…ู†
1332
+
1333
+ 334
1334
+ 00:30:25,440 --> 00:30:31,240
1335
+ ุงู„ุณูƒุงู†ุŒ ุงู„ู…ู†ุงุทู‚ ุงู„ุฌุจู„ูŠุฉ ุงู„ุชูŠ ุชู‚ุน ููŠ ุธู„ ุงู„ู…ุทุฑ ุฎุงู„ูŠุฉ
1336
+
1337
+ 335
1338
+ 00:30:31,240 --> 00:30:35,580
1339
+ ู…ู† ุงู„ุณูƒุงู†ุŒ ูู‚ุท ูˆูŠู† ููŠ ุฃู†ู‡ุงุฑ ููŠ ุงู„ู‚ุงุฑุฉุŒ ู„ุงุญุธูˆุง
1340
+
1341
+ 336
1342
+ 00:30:35,580 --> 00:30:40,320
1343
+ ุงู„ู„ูˆู† ุงู„ุจูˆู† ุงู„ุฏุงูƒู†ุŒ ููˆู‚ 160 ู†ุณู…ุฉ ู„ูƒู„ ูƒูŠู„ูˆู…ุชุฑ ู…ุฑุจุน
1344
+
1345
+ 337
1346
+ 00:30:41,090 --> 00:30:45,510
1347
+ ูˆูŠู† ููŠู‡ ุฃู†ู‡ุงุฑ ูˆูŠู† ููŠู‡ ุฃู…ุทุงุฑ ุจู„ุงู‚ูŠ ุฃู†ุง ููŠ ุนู†ุฏูŠ ุชุฑูƒุฒ
1348
+
1349
+ 338
1350
+ 00:30:45,510 --> 00:30:51,430
1351
+ ุณูƒุงู†ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู‚ุงุฑุฉ ูŠุนู†ูŠ ู†ุดูˆู ุนู†ุฏูŠ ููŠ ุงู„ุฎุฑูŠุทุฉ
1352
+
1353
+ 339
1354
+ 00:30:51,430 --> 00:30:59,110
1355
+ ุนุดุงู† ู†ุดูˆู ูˆ ู†ุฑุงุฌุน ู…ุง ูŠู…ูƒู† ุงุณุชุฑุฌุงุนู‡ ู„ุญุธุฉ ุงู„ mouse
1356
+
1357
+ 340
1358
+ 00:30:59,110 --> 00:31:00,890
1359
+ ู‡ุงูŠ ุดูˆู ุฌู†ูˆุจ ุงู„ูŠุงุจุงู†
1360
+
1361
+ 341
1362
+ 00:31:03,660 --> 00:31:08,780
1363
+ ู…ู†ุงุทู‚ ู…ูƒุชุฏุฉ ุฌุฏุง ูˆู„ุญุธุฉ ุงู†ุง ู‚ู„ุชู„ูƒู… ูŠุง ุจู†ุงุช ุงู† ุดุฑู‚
1364
+
1365
+ 342
1366
+ 00:31:08,780 --> 00:31:13,660
1367
+ ุงู„ูŠุงุจุงู† ูˆุบุฑุจ ุงู„ูŠุงุจุงู† ุงู…ุทุงุฑ ุตุญุŸ ุงูŠู‡ ุงู„ุณุจุจ ุบุฑุจ
1368
+
1369
+ 343
1370
+ 00:31:13,660 --> 00:31:18,680
1371
+ ุงู„ูŠุงุจุงู† ุงู…ุทุงุฑ ุดุชูˆูŠุฉ ูƒู†ุช ุงุฌูŠุจ ู‡ุฐุง ุงู„ุณุคุงู„ ููŠ
1372
+
1373
+ 344
1374
+ 00:31:18,680 --> 00:31:21,820
1375
+ ุงู„ุงู…ุชุญุงู† ูŠู‚ูˆู„ูˆุง ุงู† ู‡ุฐุง ุงู„ุชู‚ุน ุนู„ู‰ ุงู„ุจุญุฑ ุงู„ู…ุชูˆุณุท
1376
+
1377
+ 345
1378
+ 00:31:21,820 --> 00:31:26,640
1379
+ ู„ุงู†ู‡ ู…ุงุฏุงู… ุงู…ุทุงุฑ ุดุชูˆูŠุฉ ููŠ ุฐู‡ู†ู‡ ุงู†ู‡ ุฌู†ูˆุจูŠุฉ ุบุฑุจูŠุฉ
1380
+
1381
+ 346
1382
+ 00:31:26,640 --> 00:31:29,980
1383
+ ุนูƒุณูŠุฉ ุทุจุนุง ุบู„ุท
1384
+
1385
+ 347
1386
+ 00:31:32,410 --> 00:31:36,810
1387
+ ููŠ ุงู„ุฃู†ู‡ุงุฑ ุงู„ุชู„ุงุชุฉ ููŠ ุงู„ุตูŠู† ูˆููŠ ุงู„ู…ู†ุงุทู‚ ุงู„ู‡ุถุจูŠุฉ
1388
+
1389
+ 348
1390
+ 00:31:36,810 --> 00:31:42,070
1391
+ ู„ุฃู† ููŠู‡ุง ุงู†ุฏูŠ ุงู„ุฒุฑุงุน ุฃู‚ู„ ุดูˆูŠุฉ ุงู„ู†ู‡ุฑ ุงู„ุฌู†ุฌ
1392
+
1393
+ 349
1394
+ 00:31:42,070 --> 00:31:46,090
1395
+ ูˆุงู„ุจุฑุงู‡ู…ุงุชุฑุง ู‡ูŠ ุณุงุนุชู‡ ููŠ ุงู„ู‡ู†ุฏ ูˆุงุญู†ุง ุฃุฎุฏู†ุง ุงู„ุฌู†ุฌ
1396
+
1397
+ 350
1398
+ 00:31:46,090 --> 00:31:50,730
1399
+ ูˆู‚ู„ู†ุง ูƒุงู… ู…ุฏูŠู†ุฉ ุนู„ู‰ ู†ู‡ุฑ ุฌู†ุฌ ูˆูƒุฃู†ู†ูŠ ุฃู…ุงู… ู†ู‡ุฑ ุงู„ุฏู†ูˆุจ
1400
+
1401
+ 351
1402
+ 00:31:50,730 --> 00:31:52,610
1403
+ ููŠ ุฃูˆุฑูˆุจุง
1404
+
1405
+ 352
1406
+ 00:31:57,760 --> 00:32:01,680
1407
+ ู…ู†ุงุทู‚ ุฎุงู„ูŠุฉ ู…ู† ุงู„ุณูƒุงู† ู‡ู‰ ุงู„ุฌุจุงู„ ุงู„ู„ู‰ ุชู‚ุน ูู‰ ุธู„
1408
+
1409
+ 353
1410
+ 00:32:01,680 --> 00:32:06,760
1411
+ ุงู„ู…ุทุฑ ู‡ู‰ ุธู„ ุงู„ู…ุทุฑ ุนู†ุฏู‰ ุงู„ุณุญุฑุงุก ุงู„ุดู…ุงู„ูŠุฉ ุงู„ุฌุงู„ูŠุฏูŠุฉ
1412
+
1413
+ 354
1414
+ 00:32:06,760 --> 00:32:11,580
1415
+ ุงู„ุณุญุฑุงูˆูŠุฉ ุงู„ุญุงุฑุฉ ูˆุฎุงุตุฉ ููŠ ุงู‚ู„ูŠู… ุงู„ุซุงุฑ ูู‰ ุงู„ู‡ู†ุฏ
1416
+
1417
+ 355
1418
+ 00:32:11,580 --> 00:32:15,360
1419
+ ูˆุดุจู‡ ุงู„ุฌุฒูŠุฑุฉ ุงู„ุนุฑุจูŠุฉ ุฏู‰ ู…ุด ููŠู‡ุง ุณูƒุงู† ุทุจุนุง ูˆุงู„ุฑุจุน
1420
+
1421
+ 356
1422
+ 00:32:15,360 --> 00:32:21,980
1423
+ ุงู„ุฎุงู„ู‰ ู‚ู„ูŠู„ุฉ ุจุงู„ุณูƒุงู† ู…ู† 11-99 ุจุนุถ ุงู„ุฌู‡ุงุช ุงู„ู„ู‰ ููŠู‡ุง
1424
+
1425
+ 357
1426
+ 00:32:23,210 --> 00:32:29,350
1427
+ ุชุนุฏูŠู† ููŠู‡ุง ุฒุฑุงุนุฉ ุฎููŠูุฉ ุจู„ุงู‚ูŠ ููŠู‡ุง ุชุฑูƒุฒ ุงู„ุณูƒุงู†
1428
+
1429
+ 358
1430
+ 00:32:29,350 --> 00:32:33,950
1431
+ ู…ุชูˆุณุทุฉ ุงู„ูƒุซุงูุฉ ู…ู† 100 ุฅู„ู‰ 500 ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ
1432
+
1433
+ 359
1434
+ 00:32:33,950 --> 00:32:37,990
1435
+ ุงุณุชุตู„ุงุญ ุงู„ุฒุฑุงุนุฉ ูˆู…ู†ุงุทู‚ ููŠู‡ุง ู…ุทุฑ ูˆููŠุฑ ูŠุนู…ู„ ุนู„ู‰ ูˆุฌูˆุฏ
1436
+
1437
+ 360
1438
+ 00:32:37,990 --> 00:32:43,390
1439
+ ุญูŠุงุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ู†ุงุทู‚ ุฌู‡ุงุช ุบุฑุจูŠ ุดุจู„ ุงู„ุฌุฒูŠุฑุฉ ุงู„ู‡ู†ุฏูŠุฉ
1440
+
1441
+ 361
1442
+ 00:32:43,390 --> 00:32:50,030
1443
+ ุจูŠุณู…ูŠู‡ุง ุงู„ุฌู‡ุงุช ุงู„ุบุฑุจูŠุฉ ูŠุง ุจู†ุงุช ููŠ ุงู„ุฌุจุงู„ ุชุงูŠู„ุงู†ุฏ
1444
+
1445
+ 362
1446
+ 00:32:50,030 --> 00:32:56,520
1447
+ ูˆู…ูŠู†ู…ุงุฑุฌู†ูˆุจ ุงู„ุตูŠู† ูˆุดู…ุงู„ู‡ุง ู„ุฌู†ุฉ ุงู„ุบุฑุจูŠุฉ ู…ู† ุจูˆุฑู†ูŠูˆ
1448
+
1449
+ 363
1450
+ 00:32:56,520 --> 00:32:59,920
1451
+ ุจุนุถ
1452
+
1453
+ 364
1454
+ 00:32:59,920 --> 00:33:05,740
1455
+ ู…ู†ุงุทู‚ ุชุฑูƒูŠุง ูˆุฅูŠุฑุงู† ูˆุงู„ู‡ู„ุงู„ ุงู„ุฎุตูŠู ู‚ู„ูŠู… ูƒุซูŠูุฉ ุฌุฏุง
1456
+
1457
+ 365
1458
+ 00:33:05,740 --> 00:33:11,620
1459
+ ุงู„ู…ุฏู† ุงู„ู‚ู„ูŠู… ูƒุซูŠูุฉ ุฌุฏุง ุงู„ู…ุฏู† ุงู„ุฑุฆูŠุณูŠุฉ ููŠ ุงู„ุนุงู„ู… ุฒูŠ
1460
+
1461
+ 366
1462
+ 00:33:11,620 --> 00:33:19,810
1463
+ ุจูŠูƒูŠู† ุฒูŠ ุดุงู†ุฌู‡ุงูŠ ุฒูŠ ุชุงูƒูŠูˆ ุจุณุจุจ ู‡ุงูŠ ุดูˆููŠุนูˆุฏ ุฅู„ู‰ ุฃู†
1464
+
1465
+ 367
1466
+ 00:33:19,810 --> 00:33:25,170
1467
+ ู‡ุฐู‡ ุงู„ู…ู†ุงุทู‚ ุตู†ุงุนูŠุฉ ูŠุฑุฌุน ุงู„ูƒุซุงูุฉ ุงู„ูƒุจูŠุฑุฉ ู„ุชู‚ุฏู…
1468
+
1469
+ 368
1470
+ 00:33:25,170 --> 00:33:29,230
1471
+ ุงู„ุตู†ุงุนุฉ ุงู„ูƒุจูŠุฑุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู‚ุงุฑุฉ ูƒู…ุง ู‡ูŠ ููŠ
1472
+
1473
+ 369
1474
+ 00:33:29,230 --> 00:33:33,990
1475
+ ุงู„ูŠุงุจุงู† ูˆ ููŠ ุงู„ู‡ู†ุฏ ูˆ ูƒูˆุฑูŠุง ูˆ ุชุงูŠูˆุงู† ุงู„ุงุณุชุญุงุจ ุฅู„ู‰
1476
+
1477
+ 370
1478
+ 00:33:33,990 --> 00:33:36,550
1479
+ ุธู‡ูˆุฑ ูˆุงุถุญ ููŠ ุงู„ู…ุฏู† ุงู„ูƒุจุฑู‰ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง ุงู„
1480
+
1481
+ 371
1482
+ 00:33:36,550 --> 00:33:43,650
1483
+ ู…ุชูˆุจุฑู„ูŠุงู† ููŠ ุงู„ุณูƒุงู† ูˆ ููŠ ุงู„ุนู…ุฑุงู† ู„ุฏุฑุฌุฉ ุงู† ุงู„ู‚ุงุฑุฉ
1484
+
1485
+ 372
1486
+ 00:33:43,650 --> 00:33:48,770
1487
+ ููŠู‡ุง ุงูƒุซุฑ ู…ู† ุฎู…ุณูŠู† ู…ุฏูŠู†ุฉ ู…ู„ูŠูˆู†ูŠุฉุฃูƒุชุฑ ู…ู† ุฎู…ุณูŠู†
1488
+
1489
+ 373
1490
+ 00:33:48,770 --> 00:33:53,770
1491
+ ู…ุฏูŠู†ุฉ ู…ู„ูŠูˆู†ูŠุฉุฃู…ุง ุงู„ุขู† ูŠู…ูƒู† ุชู‚ุณูŠู… ุฃูˆุฑูˆุจุง ู„ู…ุฌู…ูˆุนุงุช
1492
+
1493
+ 374
1494
+ 00:33:53,770 --> 00:33:57,850
1495
+ ุฃุณูŠุง ู…ุฌู…ูˆุนุฉ ุงู„ุฃูˆู„ู‰ ูƒุซูŠูุฉ ุจุงู„ุณูƒุงู† ู…ุฌู…ูˆุนุฉ ุชุงู†ูŠุฉ
1496
+
1497
+ 375
1498
+ 00:33:57,850 --> 00:34:01,810
1499
+ ู…ุฌู…ูˆุนุฉ ุชุงู„ุชุฉ ู…ุฌู…ูˆุนุฉ ุงู„ุฑุงุจุนุฉ ุฏูˆู„ ู…ุช๏ฟฝ๏ฟฝูุถุฉ ู…ุฌู…ูˆุนุฉ
1500
+
1501
+ 376
1502
+ 00:34:01,810 --> 00:34:05,050
1503
+ ุฎู…ุณูŠุฉ ุงู„ูƒุซุงูุฉ ููŠู‡ุง ูƒุซูŠุฑ ู‡ุฐู‡ ุจุณ ุฌูŠุจุชู‡ุง ุงู„ุงูƒุชู…ุงุน
1504
+
1505
+ 377
1506
+ 00:34:05,050 --> 00:34:11,310
1507
+ ู„ู„ู…ุงุฏุฉ ุงู„ุนู„ู…ูŠุฉ ููŠ ุงู„ุณูƒุงู† ูู‚ุท ูˆุจู†ู‚ู ู„ุนู†ุฏ ุงู„ู†ุดุงุท
1508
+
1509
+ 378
1510
+ 00:34:11,310 --> 00:34:16,930
1511
+ ุงู„ุงู‚ุชุตุงุฏูŠ ู„ู‚ุงุฑุฉ ุฃุณูŠุง ุงุนุชู‚ุฏ ุงู„ู…ุญุงุถุฑุฉ ุฎููŠูุฉ ุฌุฏุง
1512
+
1513
+ 379
1514
+ 00:34:18,630 --> 00:34:25,130
1515
+ ูˆุจุณูŠุทุฉ ุฌุฏุง ู„ุฃู† ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุงุญู†ุง ุฏู‡ ู…ุนู„ูˆู…ุฉ ุจุงู„ุชุฑุงูƒู…
1516
+
1517
+ 380
1518
+ 00:34:25,130 --> 00:34:29,970
1519
+ ู„ู…ุง ู†ุงุฎุฏู†ุง ุงู„ุณูƒุงู† ููŠ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง ุนุงุฑููŠู† ุฃู†ู‡ ุณุจุจ
1520
+
1521
+ 381
1522
+ 00:34:29,970 --> 00:34:33,970
1523
+ ุงู„ุชุฒุงุญู… ุงู„ุชู‚ุฏู… ุงู„ุตู†ุงุนูŠ ุณุจุจ ุงู„ุฎูุงุถ ู†ุชูŠุฌุฉ ู„ุฃู† ููŠ
1524
+
1525
+ 382
1526
+ 00:34:33,970 --> 00:34:39,850
1527
+ ู‡ู†ุงูƒ ุนูˆุงู…ู„ ุทุจูŠุนูŠุฉ ุฃุฎุฑู‰ ูˆุฅู„ู‰ ู„ู‚ุงุก ุขุฎุฑ ุงู† ุดุงุก ุงู„ู„ู‡
1528
+
1529
+ 383
1530
+ 00:34:39,850 --> 00:34:40,550
1531
+ ูุงู‡ู…ู†ุงุŸ
1532
+
PL9fwy3NUQKwZ3iK_Rs37EyfqgMSsqBUx4/pLHoFyNqfrM.srt ADDED
@@ -0,0 +1,767 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:11,660 --> 00:00:15,340
3
+ ุจุณู… ุงู„ู„ู‡ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฑุณูˆู„ ุงู„ู„ู‡ุŒ ุงู„ูŠูˆู… ุฅู†
4
+
5
+ 2
6
+ 00:00:15,340 --> 00:00:21,040
7
+ ุดุงุก ุงู„ู„ู‡ุŒ ุฏุฑุณู†ุง ู…ุธุงู‡ุฑ ุงู„ุณุทุญ ููŠ ู‚ุงุฑุฉ ุฅูุฑูŠู‚ูŠุงุŒ ูˆู„ู…ุง ุฏุฑุณู†ุง
8
+
9
+ 3
10
+ 00:00:21,040 --> 00:00:26,450
11
+ ู…ุธุงู‡ุฑ ุงู„ุณุทุญ ููŠ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุงุŒ ู‚ู„ู†ุง ุฑุบู… ุงู„ุชู†ุงู‚ุถ ุงู„ุฐูŠ
12
+
13
+ 4
14
+ 00:00:26,450 --> 00:00:32,990
15
+ ุจูŠู†ู‡ุง ุนู„ู‰ ุงู„ุฎุฑูŠุทุฉุŒ ุฅู„ุง ุฃู†ู‡ุง ุชุณูŠุฑ ููŠ ุชู†ุงุบู… ู„ุง ูŠูุณุฏ
16
+
17
+ 5
18
+ 00:00:32,990 --> 00:00:38,390
19
+ ู„ู„ุทุจูŠุนุฉ ู…ุธู‡ุฑู‡ุงุŒ ุงู„ุฎู„ุงู ูƒุฐู„ูƒ ููŠ ู‚ุงุฑุฉ ุขุณูŠุงุŒ ุงู„ูŠูˆู… ููŠ
20
+
21
+ 6
22
+ 00:00:38,390 --> 00:00:44,910
23
+ ุฅูุฑูŠู‚ูŠุง ุงู„ุฃู…ุฑ ูŠุฎุชู„ู ุนู† ู‚ุงุฑุฉ ุขุณูŠุง ูˆู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง.
24
+
25
+ 7
26
+ 00:00:44,910 --> 00:00:52,010
27
+ ูุฅูุฑูŠู‚ูŠุงุŒ ุฒูŠ ู…ุง ุดูู†ุงุŒ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ูƒุชู„ุฉ ู…ู†ุฏู…ุฌุฉุŒ ู‡ูŠ
28
+
29
+ 8
30
+ 00:00:52,010 --> 00:00:58,350
31
+ ุฌุฒุก ู…ู† ู‚ุงุฑุฉ ุฌู†ุฏูˆุงู†ุง ุงู„ู‚ุฏูŠู…ุฉุŒ ุงู„ุชูŠ ู‡ูŠ ุฌุฒุก ู…ู† ู‚ุงุฑุฉ
32
+
33
+ 9
34
+ 00:00:58,350 --> 00:01:09,270
35
+ Arctis ุงู„ู‚ุฏูŠู…ุฉุŒ ุชู…ุชุฏ ู…ู† ุงู„ุตูˆู…ุงู„ ุดุฑู‚ุงู‹ ุฅู„ู‰ ุบุงู†ุง ุบุฑุจุงู‹
36
+
37
+ 10
38
+ 00:01:09,270 --> 00:01:12,310
39
+ ูˆู…ู† ุงู„ุฃุทุฑุงู ุงู„ุฌู†ูˆุจูŠุฉ ู„ุฌุจุงู„ ุฃุทู„ุณ
40
+
41
+ 11
42
+ 00:01:15,880 --> 00:01:20,380
43
+ ูˆุงู„ุฃุทุฑุงู ุงู„ุดู…ุงู„ูŠุฉ ู„ุฌุจุงู„ ุงู„ูƒุงุจ ุงู„ุชูŠ ู†ุณู…ูŠู‡ุง
44
+
45
+ 12
46
+ 00:01:20,380 --> 00:01:25,440
47
+ DrakensbergุŒ ุฌุจุงู„ Drakensberg ุฃูˆ ุฌุจุงู„ ุงู„ูƒุงุจ.
48
+
49
+ 13
50
+ 00:01:25,440 --> 00:01:29,900
51
+ ูˆูŽุฏุฑุณู’ุชู ู„ูƒู… ุงู„ู…ุฑุฉ ุงู„ุชูŠ ูุงุชุชุŒ ูˆุฏุฑุณุช ู„ูƒู… ุฃู† ุฌุจุงู„ ุฃุทู„ุณ
52
+
53
+ 14
54
+ 00:01:29,900 --> 00:01:35,100
55
+ ููŠ ุดู…ุงู„ ุบุฑุจ ุงู„ู‚ุงุฑุฉ ู„ูŠุณุช ุฌุฒุกุงู‹ ู…ู† ุงู„ู‡ุถุจุฉ ุฃูˆ ู…ู† ุงู„ูƒุชู„ุฉ
56
+
57
+ 15
58
+ 00:01:35,860 --> 00:01:41,480
59
+ ุฅู†ู…ุง ู‡ูŠ ุฌุฒุก ู…ู† ุงู„ู‚ุงุฑุฉุŒ ุฌุฒุก ู…ู† ุงู„ู‚ุงุฑุฉุŒ ูˆู‡ุฐู‡ ุงู„ูƒู„ุงู… ู„ูˆ
60
+
61
+ 16
62
+ 00:01:41,480 --> 00:01:45,480
63
+ ูƒู†ุช ุฃุฌูŠุจ ุตุญ ูˆุฎุทุฃุŒ ูƒู†ุช ุฃุญุท ุฌุจุงู„ ุฃุทู„ุณ ุฌุฒุก ู…ู† ุงู„ุฌูุฒุก
64
+
65
+ 17
66
+ 00:01:45,480 --> 00:01:52,020
67
+ ู…ู† ูƒุชู„ุฉ ุฅูุฑูŠู‚ูŠุงุŸ ู„ุงุŒ ู‡ูŠ ู…ู† ุงู„ู‚ุงุฑุฉุŒ ู„ุฃู† ุงู„ูƒุชู„ุฉ ู‡ูŠ
68
+
69
+ 18
70
+ 00:01:52,020 --> 00:01:57,000
71
+ ุงู„ุนู‚ุฏุฉ ุงู„ู‚ุฏูŠู…ุฉ ุงู„ุชูŠ ู†ู…ุช ุญูˆู„ู‡ุง ุงู„ุฌุจุงู„ ุงู„ุฃู„ุจูŠุฉ
72
+
73
+ 19
74
+ 00:01:57,000 --> 00:02:03,140
75
+ ุงู„ุฌู†ูˆุจูŠุฉ ุงู„ุดุฑู‚ูŠุฉ ูˆุงู„ุดู…ุงู„ูŠุฉ ุงู„ุบุฑุจูŠุฉุŒ ุทุจุนุงู‹ ููŠ
76
+
77
+ 20
78
+ 00:02:03,140 --> 00:02:07,080
79
+ ุงุฎุชู„ุงู ุจูŠู† ุฌุจุงู„ุŒ ุงู„ุชูŠ ู‡ูŠ ุฃุทู„ุณุŒ ูˆุงู„ุฌุจุงู„ ุงู„ูƒุงุจุŒ ู„ุฃู†
80
+
81
+ 21
82
+ 00:02:07,080 --> 00:02:12,860
83
+ ุงู„ูƒุงุจ ุฃู‚ุฏู… ุดูˆูŠุฉ ููŠ ุชูƒูˆูŠู†ุงุชู‡ุง ุงู„ุฌุจู„ูŠุฉุŒ ุฃู…ุง ุจุงู‚ูŠ
84
+
85
+ 22
86
+ 00:02:12,860 --> 00:02:19,140
87
+ ุงู„ู…ุฑุชูุนุงุช ููŠ ุงู„ู‚ุงุฑุฉ ูู‡ูŠ ู…ุฑุชูุนุงุช ุทุจุนุงู‹ ู‚ุฏูŠู…ุฉุŒ ุชุฑุฌุน
88
+
89
+ 23
90
+ 00:02:19,140 --> 00:02:23,660
91
+ ุฅู„ู‰ ุงู„ุฒู…ู† ุงู„ุฃูˆู„ุŒ ุฒูŠ ู…ุง ุดูู†ุงุŒ ุจุณุจุจ ุฃู†ู‡ ุฃูƒู„ุช ุนู„ูŠู‡ุง
92
+
93
+ 24
94
+ 00:02:23,660 --> 00:02:27,700
95
+ ุนูˆุงู…ู„ ุงู„ุชุนุฑูŠุฉุŒ ูˆุงู†ุชุดุฑุช ููŠ ุงู„ุตุญุฑุงุกุŒ ุงู„ุชูŠ ู‡ูŠ ุฌุจุงู„
96
+
97
+ 25
98
+ 00:02:27,700 --> 00:02:31,360
99
+ ุชูŠููŠุณุชูŠุŒ ูˆุงู„ุฃุญุฌุงุฑุŒ ูˆุงู„ุนูŠูˆู†ุงุชุŒ ูˆุฏุงุฑููˆุฑุŒ ุงูู‡ู…ู†ุงุŸ
100
+
101
+ 26
102
+ 00:02:31,360 --> 00:02:37,260
103
+ ุทูŠุจุŒ ูˆู‡ุฐู‡ ุทุจุนุงู‹ ุงุฑุชูุงุนุงุชู‡ุง ู…ุฎุชู„ูุฉุŒ ูˆุบุงู„ุจุงู‹ ููŠ ุชูƒูˆู†
104
+
105
+ 27
106
+ 00:02:37,260 --> 00:02:45,040
107
+ ููŠู‡ุง ุงู„ู„ุงูุง ุงู„ุจุฑูƒุงู†ูŠุŒ ูˆู‡ูˆ ุณุจุจ ุงู„ุงุฑุชูุงุนุงุช ููŠ ุฌุจุงู„
108
+
109
+ 28
110
+ 00:02:45,040 --> 00:02:50,830
111
+ ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰. ูŠุจุฏูˆ ู…ู…ุง ุณุจู‚ ุฃู† ู‡ุฐู‡ ุงู„ุงุฑุชูุงุนุงุช
112
+
113
+ 29
114
+ 00:02:50,830 --> 00:02:55,810
115
+ ุฒู…ุงู†ุŒ ุงู„ู„ูŠ ุจุญูƒูŠ ู„ู‡ุŒ ุฃู† ู‡ูŠ ู†ุชูŠุฌุฉ ู„ู†ุดุงุท ุจุฑูƒุงู†ูŠ ูƒุงู† ููŠ
116
+
117
+ 30
118
+ 00:02:55,810 --> 00:03:04,330
119
+ ุงู„ู‚ุงุฑุฉุŒ ูุฒุงุฏุช ุงู„ุงุฑุชูุงุนุงุชุŒ ู‡ุฐู‡ ุชูƒูˆู†ุช ุจูุนู„ ุนูˆุงู…ู„
120
+
121
+ 31
122
+ 00:03:04,330 --> 00:03:09,090
123
+ ุงู„ุชุนุฑูŠุฉุŒ ุจุนุฏ ุฐู„ูƒ ุทุจุนุงู‹ ุดูู†ุง ุงุญู†ุง ู„ู…ุง ุฏุฑุณู†ุง ุงู„ุชุนุฑูŠุฉ
124
+
125
+ 32
126
+ 00:03:09,090 --> 00:03:19,360
127
+ ุฃู†ู‡ ุนุงุฑูŠุฉ ู…ู† ุงู„ุฑุณูˆุจูŠุงุชุŒ ุจุณุจุจ ุนู…ู„ูŠุงุช ุงู„ุชุนุฑูŠุฉุŒ ู‚ู„ู†ุง
128
+
129
+ 33
130
+ 00:03:19,360 --> 00:03:27,680
131
+ ุงู„ุชุฌูˆูŠุฉ ูˆุงู„ุชุนุฑูŠุฉ ุฃุฒุงู„ุชู‡ุง ูˆุฌุนู„ุชู‡ุง ุนุจุงุฑุฉ ุนู† ุตุฎูˆุฑ
132
+
133
+ 34
134
+ 00:03:27,680 --> 00:03:33,440
135
+ ุฌุฑุฏุงุกุŒ ุงู†ุชู‡ุช ุงู„ุญุฑูƒุงุช ููŠ ุงู„ู‚ุงุฑุฉุŒ ูˆุงุณุชูˆุช ุนู„ู‰ ู…ุง ู‡ูŠ ุนู„ูŠู‡.
136
+
137
+ 35
138
+ 00:03:33,440 --> 00:03:40,000
139
+ ุทุจุนุงู‹ ููŠ ุงู„ุฒู…ู† ุงู„ุซุงู„ุซุŒ ูƒุจุงู‚ูŠ ุงู„ู‚ุงุฑุงุช ููŠ ุงู„ุนุงู„ู…ุŒ ู‚ู„ู†ุง
140
+
141
+ 36
142
+ 00:03:40,000 --> 00:03:44,750
143
+ ุจุฏุงูŠุฉ ุฒุญุฒุญุฉ ุงู„ู‚ุงุฑุงุช ุธู‡ุฑุช ููŠ ุงู„ุฒู…ู† ุงู„ุซุงู†ูŠุŒ ููŠ ุงู„ุซุงู„ุซุŒ
144
+
145
+ 37
146
+ 00:03:44,750 --> 00:03:49,710
147
+ ุจุฏุฃุช ุชุชุดูƒู„ ุงู„ู…ุนุงู„ู… ุงู„ุฑุฆูŠุณูŠุฉ ู„ู„ู‚ุงุฑุฉ ููŠ ุงู„ุฒู…ู† ุงู„ุฑุงุจุนุŒ
148
+
149
+ 38
150
+ 00:03:49,710 --> 00:03:56,310
151
+ ุงู†ุชู‡ุช ูƒู„ ุงู„ู…ุนุงู„ู… ุงู„ุชุดูƒู„ูŠุฉ ู„ู„ู‚ุงุฑุงุช ูƒู„ู‡ุงุŒ ูˆุธู‡ุฑุช ุนู„ู‰
152
+
153
+ 39
154
+ 00:03:56,310 --> 00:04:01,990
155
+ ู…ุง ู‡ูŠ ุนู„ูŠู‡ ุงู„ุขู†. ุฃุนู„ู‰
156
+
157
+ 40
158
+ 00:04:01,990 --> 00:04:06,490
159
+ ุฌุจุงู„ ุงู„ู‚ุงุฑุฉุŒ ุทุจุนุงู‹ ุนู†ุฏูŠ ุฌุจู„ Kilimanjaro ููŠ ูƒูŠู†ูŠุงุŒ
160
+
161
+ 41
162
+ 00:04:06,490 --> 00:04:14,050
163
+ ูˆุงู„ุฐูŠ ูŠุนุชุจุฑ ู…ู† ุฃูƒุซุฑ ุฌุจุงู„ ุงู„ู‚ุงุฑุฉ ุงุฑุชูุงุนุงู‹ุŒ ูˆุงู„ุฐูŠ
164
+
165
+ 42
166
+ 00:04:14,050 --> 00:04:19,090
167
+ ูŠุชุฑุงูƒู… ุนู„ูŠู‡ ุงู„ุฌู„ูŠุฏุŒ ูˆู‚ู„ู†ุง ุฃู† ุงู„ู‚ุงุฑุฉ ู‡ูŠ ู…ู† ุฃูƒุซุฑ
168
+
169
+ 43
170
+ 00:04:19,090 --> 00:04:23,770
171
+ ู‚ุงุฑุงุช ุงู„ุนุงู„ู… ุญุฑุงุฑุฉุŒ ู„ูƒู† ุงู„ุฌู„ูŠุฏ ูŠูุบุทูŠู‡ุงุŒ ุฏูŠ ููŠ ุงู„ู…ุชู†ุงู‚ุถุงุช.
172
+
173
+ 44
174
+ 00:04:23,770 --> 00:04:29,250
175
+ ู‚ู„ู†ุง ุงู„ู…ุชู†ุงู‚ุถุงุช ุงู„ุชูŠ ุฏุฑุณู†ุงู‡ุง ููŠ ุขุณูŠุงุŒ ุฃู† ู‡ูŠ ู‚ุงุฑุฉ
176
+
177
+ 45
178
+ 00:04:29,250 --> 00:04:34,090
179
+ ู…ุชู†ุงู‚ุถุงุชุŒ ุฃูˆ ุฑุฏู†ุง ุญูˆุงู„ูŠ ุนุดุฑ ู…ุชู†ุงู‚ุถุงุช ููŠ ุขุณูŠุงุŒ ูƒุฐู„ูƒ
180
+
181
+ 46
182
+ 00:04:34,090 --> 00:04:37,430
183
+ ู‚ู„ู†ุง ุฅุฐุง ูƒุงู†ุช ุขุณูŠุง ู‚ุงุฑุฉ ู…ุชู†ุงู‚ุถุฉุŒ ูุฅู† ุฅูุฑูŠู‚ูŠุง ุฃูŠุถุงู‹
184
+
185
+ 47
186
+ 00:04:37,430 --> 00:04:42,480
187
+ ู‚ุงุฑุฉุŒ ูˆุฌุจู†ุง ุงู„ู…ุชู†ุงู‚ุถุงุช ููŠู‡ุงุŒ ุฃู†ู‡ุง ุฑุบู… ุงู…ุชุฏุงุฏ ู…ู†ุงุทู‚
188
+
189
+ 48
190
+ 00:04:42,480 --> 00:04:45,880
191
+ ุงู„ุนุงู„ู…ุŒ ุฅู„ุง ุฃู† ุนู„ูŠู‡ุง ุชุฑุงูƒู… ุฌู„ูŠุฏ ููŠ ุงู„ู…ู†ุงุทู‚
192
+
193
+ 49
194
+ 00:04:45,880 --> 00:04:51,880
195
+ ุงู„ุจุงุฑุฏุฉ. ู„ุงุญุธูˆุง ุงู„ุขู† ู„ู…ุง ุฌุฆู†ุง ู†ุฏุฑุณ ุงู„ุชุถุงุฑูŠุณุŒ ุฌุณู…ู†ุงู‡ุง
196
+
197
+ 50
198
+ 00:04:51,880 --> 00:04:58,560
199
+ ุฅู„ู‰ ุธูˆุงู‡ุฑ ุจุดูƒู„ ูŠุฎุชู„ู ุนู† ุขุณูŠุง ูˆุฃูˆุฑูˆุจุงุŒ ุงู„ุธุงู‡ุฑุฉ
200
+
201
+ 51
202
+ 00:04:58,560 --> 00:05:05,020
203
+ ุงู„ุฃูˆู„ู‰ ุงู„ุชูŠ ุชูƒู„ู…ู†ุง ุนู†ู‡ุง ู‡ูŠ ุธุงู‡ุฑุฉ ุงู„ุฌุจุงู„ุŒ ุงู„ุฌุจุงู„
204
+
205
+ 52
206
+ 00:05:05,020 --> 00:05:09,940
207
+ ุงู„ุญุฏูŠุซุฉุŒ ุงู„ุฌุจุงู„ ุงู„ู‚ุฏูŠู…ุฉุŒ ุนุดุงู† ุจุณ ุฃูˆุถุญ ุงู„ู…ุนู„ูˆู…ุฉ
208
+
209
+ 53
210
+ 00:05:09,940 --> 00:05:15,340
211
+ ุงู„ู…ูุตู„ุฉ ู„ูƒู…ุŒ ู‚ู„ู†ุง ุงู„ุญุฏูŠุซุฉ: ุฃุทู„ุณ ูˆุงู„ูƒุงุจุŒ ูˆุงู„ู‚ุฏูŠู…ุฉ: ุชูŠุจุณุชูŠ
212
+
213
+ 54
214
+ 00:05:15,340 --> 00:05:23,480
215
+ ูˆุงู„ุฃุญุฌุงุฑ ูˆุฏุงุฑููˆุฑ ูˆู…ุงุดูŠุŒ ูˆุงู„ุนูŠูˆู†ุงุชุŒ ุงู„ุธุงู‡ุฑุฉ ุงู„ุซุงู†ูŠุฉ ููŠ
216
+
217
+ 55
218
+ 00:05:23,480 --> 00:05:31,020
219
+ ุงู„ู‚ุงุฑุฉ ู‡ูŠ ุงู„ู‡ุถุงุจุŒ ู‡ูŠ ุงู„ู‚ุงุฑุฉ ูƒูƒู„ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู‡ุถุจุฉ
220
+
221
+ 56
222
+ 00:05:31,020 --> 00:05:39,680
223
+ ู…ูุฑุชูŽูุนุฉ ุงู„ุฃุทุฑุงูุŒ 62% ู…ู† ู‡ุฐู‡ ุงู„ู‡ุถุจุฉ ุนู„ู‰ ุงุฑุชูุงุน 1200
224
+
225
+ 57
226
+ 00:05:39,680 --> 00:05:46,020
227
+ ู‚ุฏู…ุŒ ุฅุญู†ุง ูˆุฌุฏู†ุง 62% ู…ู† ู…ุณุงุญุฉ ุฃูˆุฑูˆุจุง ุนู„ู‰ ุงุฑุชูุงุน 200
228
+
229
+ 58
230
+ 00:05:46,020 --> 00:05:54,080
231
+ ู…ุชุฑุŒ 200 ู…ุชุฑุŒ 200 ู…ุชุฑุŒ ู‡ู†ุง 62% ุนู„ู‰ ุงุฑุชูุงุน 1200 ู‚ุฏู…ุŒ
232
+
233
+ 59
234
+ 00:05:54,080 --> 00:05:58,660
235
+ ู‡ุฐู‡ ุงู„ู†ุณุจุฉ ููŠ ุฌู†ูˆุจ ุฎุท ุงู„ุงุณุชูˆุงุกุŒ ุฃูƒุซุฑ ู…ู† 80% ุนู„ู‰
236
+
237
+ 60
238
+ 00:05:58,660 --> 00:06:03,750
239
+ ุงุฑุชูุงุน 3000 ู‚ุฏู…ุŒ ูˆุฅุญู†ุง ู‚ู„ู†ุง ุฃู† ู‡ุถุจุฉ ู‡ูŠ ู…ูƒุงู† ู…ุฑุชูุน
240
+
241
+ 61
242
+ 00:06:03,750 --> 00:06:11,350
243
+ ุณุทุญู‡ ุดุจู‡ ู…ุณุชูˆูุŒ ูุงู„ู‚ุงุฑุฉ ุจู‡ุฐุง ุงู„ุชุนุฑูŠูุŒ ุฅุฐุง ุฃูƒุซุฑ ู…ู† 80
244
+
245
+ 62
246
+ 00:06:11,350 --> 00:06:20,090
247
+ % ููŠ ุฌู†ูˆุจ ุฎุท ุงู„ุงุณุชูˆุงุก ุงุฑุชูุงุนู‡ุง ูŠุฒูŠุฏ ุนู† 3000 ู‚ุฏู…ุŒ ู„ุง
248
+
249
+ 63
250
+ 00:06:20,090 --> 00:06:23,550
251
+ ุชู‚ู„ ุนู† 47%ุŒ ูˆุฃุนู„ู‰ ู‡ุถุงุจ ุงู„ู‚ุงุฑุฉ ุชูˆุฌุฏ ููŠ ุดุฑู‚ ุงู„ู‚ุงุฑุฉ
252
+
253
+ 64
254
+ 00:06:23,550 --> 00:06:28,110
255
+ ุนู†ุฏ ู‡ุถุจุฉ ุดุฑู‚ ุฃูุฑูŠู‚ูŠุงุŒ ุงู„ุชูŠ ู‡ูŠ ู‡ุถุจุฉ ุชู†ุฒุงู†ูŠุงุŒ ูˆู‡ุถุจุฉ
256
+
257
+ 65
258
+ 00:06:28,110 --> 00:06:28,890
259
+ ุงู„ุญุจุดุฉ.
260
+
261
+ 66
262
+ 00:06:33,080 --> 00:06:37,040
263
+ ู‡ูŠ ุชู†ุงู‚ุถ ุงุฑุชูุงุน ุงู„ู‡ุถุจุฉ ููŠ ุดู…ุงู„ ุฎุท ุงู„ุงุณุชูˆุงุกุŒ ุจุงู„ุตูุฉ
264
+
265
+ 67
266
+ 00:06:37,040 --> 00:06:42,540
267
+ ุงู„ุนุงู…ุฉุŒ ูุนู„ู‰ ุงู…ุชุฏุงุฏ ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ุŒ ุนุดุงู† ุงู„ู„ุญุธุฉ ู‡ูŠ
268
+
269
+ 68
270
+ 00:06:42,540 --> 00:06:48,480
271
+ ู‡ุถุจุฉ ุดู…ุงู„ ุฃูุฑูŠู‚ูŠุง ูŠูุณู…ูŠู‡ุงุŒ ู„ูƒู† ู„ูƒูˆู†ู‡ ูŠุบู„ุจ ุนู„ูŠู‡ุง
272
+
273
+ 69
274
+ 00:06:48,480 --> 00:06:54,160
275
+ ุงู„ุตุญุฑุงุกุŒ ูู†ุทู„ู‚ ุนู„ูŠู‡ุง ุงุณู… ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ุŒ ูŠุนู†ูŠ ู‡ูŠ ููŠ
276
+
277
+ 70
278
+ 00:06:54,160 --> 00:06:58,920
279
+ ุงู„ุฃุตู„ ู‡ุถุจุฉ ุงู„ุดู…ุงู„ุŒ ูˆู‡ุถุจุฉ ุฌู†ูˆุจ ุฃูุฑูŠู‚ูŠุงุŒ ู„ูƒู† ู„ุบุงู„ุจูŠุฉ
280
+
281
+ 71
282
+ 00:06:58,920 --> 00:07:02,620
283
+ ุงู„ุตุญุฑุงุก ุนู„ูŠู‡ุงุŒ ุณู…ูŠู†ุงู‡ุง ุตุญุฑุงุก ูƒุจุฑู‰ุŒ ูˆุฃุญูŠุงู†ุงู‹
284
+
285
+ 72
286
+ 00:07:02,620 --> 00:07:09,100
287
+ ู†ุณู…ูŠู‡ุง ู‡ุถุจุฉ ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ ุฃูŠุถุงู‹ุŒ ุนุดุงู† ู†ู‚ุณู…ู‡ุง ุฅู„ู‰
288
+
289
+ 73
290
+ 00:07:09,100 --> 00:07:16,880
291
+ ุฅูุฑูŠู‚ูŠุง ุงู„ุนู„ูŠุงุŒ ูˆุฅูุฑูŠู‚ูŠุง ุงู„ุณูู„ู‰ุŒ ู‡ุฐู‡
292
+
293
+ 74
294
+ 00:07:16,880 --> 00:07:23,640
295
+ ุงู„ู‚ุงุฑุฉ ุดุงูŠููŠู†ู‡ุงุŸ ู„ู…ุง ู†ู†ุธุฑ ู†ู„ุงุญุธ ููŠ ุดู…ุงู„ ุงู„ู‚ุงุฑุฉุŒ
296
+
297
+ 75
298
+ 00:07:23,640 --> 00:07:29,960
299
+ ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ ูˆู„ูŠุณุช ู‡ุถุจุฉ ุดู…ุงู„ ุฃูุฑูŠู‚ูŠุงุŒ ู‡ุถุจุฉุŒ
300
+
301
+ 76
302
+ 00:07:29,960 --> 00:07:35,220
303
+ ูˆูƒุฃู†ู‡ุง ู…ู‚ุตูˆุตุฉุŒ ู‚ุต ู…ู† ุงู„ูƒุชู„ุฉ ุงู„ู‚ุฏูŠู…ุฉ ุฃูˆ ู…ู† ุงู„ู‚ุงุฑุฉ
304
+
305
+ 77
306
+ 00:07:35,220 --> 00:07:41,500
307
+ ุงู„ู‚ุฏูŠู…ุฉุŒ ุชู†ุญุฏุฑ ู‡ุฐู‡ ุงู„ู‡ุถุจุฉ ู…ู† ุงู„ุฌู†ูˆุจ ุฅู„ู‰ ุงู„ุดู…ุงู„ุŒ
308
+
309
+ 78
310
+ 00:07:41,500 --> 00:07:42,620
311
+ ุงู„ุฏู„ูŠู„ ุนู†ุฏูŠ ู‡ูˆ
312
+
313
+ 79
314
+ 00:07:46,870 --> 00:07:54,110
315
+ ุงู„ู†ู‡ุฑ ุงู„ูˆุญูŠุฏ ููŠ ุงู„ู‚ุงุฑุฉ ุงู„ุฐูŠ ูŠู†ุจุน ู…ู† ุงู„ุฌู†ูˆุจ ู„ูŠุณูŠุฑ
316
+
317
+ 80
318
+ 00:07:54,110 --> 00:07:57,870
319
+ ููŠ ุงู„ุดู…ุงู„ุŒ ูˆูƒุฃู†ู‡
320
+
321
+ 81
322
+ 00:07:57,870 --> 00:08:06,110
323
+ ูˆุญูŠุฏุŒ ูˆู‡ุฐุง ูŠุฏู„ ุนู„ู‰ ุฃู† ุงู„ู‡ุถุจุฉ ุงู„ุดู…ุงู„ูŠุฉ ุชู†ุญุฏุฑ ู…ู† ุฌู†ูˆุจ
324
+
325
+ 82
326
+ 00:08:06,110 --> 00:08:10,410
327
+ ุฎุท ุงู„ุงุณุชูˆุงุกุŒ ูุงู„ู‡ุถุจุฉ ุชู†ุญุฏุฑ ู†ุญูˆ ุงู„ุฃุทุฑุงูุŒ ูˆู‡ุฐุง ุฅู† ุดุงุก
328
+
329
+ 83
330
+ 00:08:10,410 --> 00:08:23,830
331
+ ุงู„ู„ู‡ ุณู†๏ฟฝ๏ฟฝุงู‡ุฏู‡ ููŠ ุงู„ุชุตุฑูŠู ุงู„ู…ุงุฆูŠ ู„ู„ู‚ุงุฑุฉุŒ ุงู„ุธุงู‡ุฑุฉ
332
+
333
+ 84
334
+ 00:08:23,830 --> 00:08:29,710
335
+ ุงู„ุซุงู„ุซุฉ ููŠ ุงู„ู‚ุงุฑุฉ ู‡ูŠ ุธุงู‡ุฑุฉ ุงู„ุฃุญูˆุงุถุŒ ุธุงู‡ุฑุฉ
336
+
337
+ 85
338
+ 00:08:29,710 --> 00:08:35,050
339
+ ุงู„ุฃุญูˆุงุถุŒ ูˆุงู„ุธุงู‡ุฑุฉ
340
+
341
+ 86
342
+ 00:08:35,050 --> 00:08:39,010
343
+ ุงู„ุฃูˆู„ู‰: ุงู„ุฌุจุงู„ุŒ ุธุงู‡ุฑุฉ ุซุงู†ูŠุฉ: ุงู„ู‡ุถุงุจุŒ ูˆุธุงู‡ุฑุฉ ุซุงู„ุซุฉ:
344
+
345
+ 87
346
+ 00:08:39,010 --> 00:08:46,950
347
+ ุงู„ุฃุญูˆุงุถุŒ ุงู„ู‚ุงุฑุฉ ุทุจุนุงู‹ ุชุชูุงูˆุช
348
+
349
+ 88
350
+ 00:08:46,950 --> 00:08:52,610
351
+ ููŠู‡ุง ุงู„ุงุฑุชูุงุนุงุช ูˆุงู„ุงู†ุฎูุงุถุงุชุŒ ูˆุงู„ุชูŠ ุชุญุตุฑ ุจูŠู†ู‡ุง ู…ุง ูŠุณู…ู‰
352
+
353
+ 89
354
+ 00:08:52,610 --> 00:08:58,170
355
+ ุงู„ู…ู†ุฎูุถุงุช ุฃูˆ ุงู„ูˆุงุญุงุช ู†ุณู…ูŠู‡ุงุŒ ูˆุงู„ุชูŠ ุชู†ุชุดุฑ ุจุตูˆุฑุฉ
356
+
357
+ 90
358
+ 00:08:58,170 --> 00:09:07,350
359
+ ูƒุจูŠุฑุฉ ููŠ ุงู„ุตุญุฑุงุกุŒ ุดูู†ุง ุฅุญู†ุง ุงู„ุฃุญูˆุงุถ ููŠ ุขุณูŠุงุŒ ุฒูŠ ุญูˆุถ
360
+
361
+ 91
362
+ 00:09:07,350 --> 00:09:15,320
363
+ ุชุงุฑูŠู…ุŒ ุญูˆุถ ุทุงุณูŠุฏุงู…ุŒ ู‡ุฐู‡ ุงู„ุฃุญูˆุงุถ ุงู„ุชูŠ ุดูู†ุงู‡ุง ููŠ ุขุณูŠุงุŒ
364
+
365
+ 92
366
+ 00:09:15,320 --> 00:09:21,960
367
+ ุงู„ูŠูˆู… ู‡ู†ุดูˆู ุฃุดู‡ุฑ ุญูˆุถูŠู† ููŠ ุงู„ู‚ุงุฑุฉุŒ ูˆุงู„ู„ุฐูŠู† ุชูƒูˆู†ุง
368
+
369
+ 93
370
+ 00:09:21,960 --> 00:09:31,640
371
+ ุงู„ูƒูˆู†ุบูˆ ููŠ ุงู„ุฒู…ู† ุงู„ุฃูˆู„ุŒ ูˆุชุดุงุฏ ููŠ ุงู„ุฒู…ู† ุงู„ุฑุงุจุนุŒ ูŠุนู†ูŠ
372
+
373
+ 94
374
+ 00:09:31,640 --> 00:09:38,200
375
+ ู†ุดูˆู ุงู„ุฃุญูˆุงุถ ูƒุงู„ุชุงู„ูŠุŒ ู‡ู†ุดูˆู ูˆุงุญุฏ: ุญูˆุถ ู†ู‡ุฑ ุงู„ูƒูˆู†ุบูˆุŒ
376
+
377
+ 95
378
+ 00:09:41,510 --> 00:09:47,470
379
+ ู†ุดุฃ ููŠ ุงู„ุฒู…ู† ุงู„ุฃูˆู„ุŒ ูˆุญูˆุถ ุชุดุงุฏ ููŠ ุงู„ุฒู…ู† ุงู„ุฑุงุจุนุŒ ุทุจ ุดูˆ
380
+
381
+ 96
382
+ 00:09:47,470 --> 00:09:52,630
383
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู…ุŸ ุงู„ุฒู…ู† ุงู„ุฃูˆู„ ู†ุชูŠุฌุฉ ู„ู„ุญุฑูƒุงุช ุงู„ุชูƒุชูˆู†ูŠุฉ
384
+
385
+ 97
386
+ 00:09:52,630 --> 00:10:00,050
387
+ ุงู„ุชูŠ ุฃุตุงุจุช ุจุทู† ุงู„ู‚ุดุฑุฉ ุงู„ุฃุฑุถูŠุฉุŒ ุงู„ุญุฑูƒุงุช
388
+
389
+ 98
390
+ 00:10:00,050 --> 00:10:06,120
391
+ ุงู„ุชูƒุชูˆู†ูŠุฉ ุงู„ุชูŠ ุฃุตุงุจุช ุทุจู‚ุงุช ุงู„ุฃุฑุถ ููŠ ุงู„ุฒู…ู† ุงู„ุฑุงุจุนุŒ ู†ุชูŠุฌุฉ
392
+
393
+ 99
394
+ 00:10:06,120 --> 00:10:15,140
395
+ ู„ู„ุฃู…ุทุงุฑุŒ ู†ุชูŠุฌุฉ ู„ู‡ุทูˆู„ ุงู„ุฃู…ุทุงุฑุŒ ุญูŠุซ ุงู…ุชู„ุฃุช ุงู„ู…ู†ุฎูุถุงุช ุจุงู„ู…ูŠุงู‡ุŒ ูุดูƒู„ุช
396
+
397
+ 100
398
+ 00:10:15,140 --> 00:10:20,140
399
+ ุฃุญูˆุงุถุŒ ุทุจุนุงู‹
400
+
401
+ 101
402
+ 00:10:20,140 --> 00:10:26,100
403
+ ุงู„ุชุตุฑูŠู ุงู„ู…ุงุฆูŠ ู„ู‡ุฐู‡ ุงู„ุฃุญูˆุงุถ ุฏุงุฎู„ูŠุŒ ุชุตุฑูŠู ุงู„ู…ุงุก ู„ู‡ุฐู‡
404
+
405
+ 102
406
+ 00:10:26,100 --> 00:10:32,900
407
+ ุงู„ุฃุญูˆุงุถ ูƒุงู† ุฏุงุฎู„ูŠุŒ ู„ูƒู† ุจุงู…ุชู„ุงุฆู‡ุง ุจุงู„ู…ูŠุงู‡ ูˆุจุงู„ุฑูˆุงุณุจ
408
+
409
+ 103
410
+ 00:10:34,090 --> 00:10:41,530
411
+ ูุชุญุช ุทุฑู‚ ุฎุงุฑุฌูŠุฉ ู„ุชุตุฑูŠู ุงู„ู…ูŠุงู‡ ููŠ ุฎุงุฑุฌ ุงู„ู…ู†ุทู‚ุฉุŒ ุจุงู„ุถุจุท
412
+
413
+ 104
414
+ 00:10:41,530 --> 00:10:50,050
415
+ ุฒูŠ ู…ุง ุดูู†ุง ููŠ ุขุณูŠุงุŒ ู…ู†ุทู‚ุฉ ุชุตุฑูŠู ุฏุงุฎู„ูŠ ู‡ูŠ ุจุญุฑ ุขุฑุงู„ุŒ
416
+
417
+ 105
418
+ 00:10:50,050 --> 00:10:58,470
419
+ ุจุญุฑ ุขุฑุงู„ ูŠูุตุฑู ููŠู‡ ู†ู‡ุฑูŠู‘ู† ุฑุฆูŠุณูŠู‘ูŠู† ู‡ู…ุง ุณูŠุญูˆู†
420
+
421
+ 106
422
+ 00:10:58,470 --> 00:11:06,010
423
+ ูˆุฌูŠุญูˆู† (ุณูุฑุฏุงุฑูŠุง ูˆู…ูุฑุฏุงุฑูŠุง)ุŒ ูู‡ู…ุชูˆุงุŸ ุฃูŠู‡ ุณุจุจ ุชุตุฑูŠูู‡
424
+
425
+ 107
426
+ 00:11:06,010 --> 00:11:10,330
427
+ ุงู„ุฏุงุฎู„ูŠุŸ ู„ุฃู† ุงู„ู…ู†ุทู‚ุฉ ู…ู†ุฎูุถุฉุŒ ูˆุฃู† ุฃุทุฑุงูู‡ุง ุนุงู„ูŠุฉุŒ ู†ูุณ
428
+
429
+ 108
430
+ 00:11:10,330 --> 00:11:15,610
431
+ ุงู„ูƒู„ุงู… ู‡ู†ุงุŒ ูƒุงู† ุงู„ุชุตุฑูŠู ุฏุงุฎู„ูŠุŒ ุฅู„ุง ุฃู† ุงู…ุชู„ุงุฆู‡ุง
432
+
433
+ 109
434
+ 00:11:15,610 --> 00:11:24,390
435
+ ุจุงู„ู…ูŠุงู‡ ูˆุจุงู„ุฑูˆุงุณุจ ุฃุฏู‰ ุฅู„ู‰ ุฃู† ู‡ู†ุงูƒ ูุชุญุงุชุŒ ุงู„ูƒูˆู†ุบูˆ
436
+
437
+ 110
438
+ 00:11:24,390 --> 00:11:29,870
439
+ ู†ุฌุญ ุจุฃู† ูŠูƒูˆู† ุชุตุฑูŠูู‡
440
+
441
+ 111
442
+ 00:11:29,870 --> 00:11:31,110
443
+ ุฎุงุฑุฌูŠุงู‹.
444
+
445
+ 112
446
+ 00:11:33,540 --> 00:11:41,980
447
+ ูุตุจุช ู…ูŠุงู‡ู‡ ููŠ ุงู„ู…ุญูŠุท ุงู„ุฃุทู„ุณูŠุŒ ุฃู…ุง ุชุดุงุฏ ู„ุฃู†ู‡ุง ุชู‚ุน ููŠ
448
+
449
+ 113
450
+ 00:11:41,980 --> 00:11:47,540
451
+ ู‚ู„ุจ ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ุŒ ุธู„ ุชุตุฑูŠูู‡ุง ุฏุงุฎู„ูŠุงู‹.
452
+
453
+ 114
454
+ 00:11:47,540 --> 00:11:54,780
455
+ ู‡ูŠ ุณุจุจ: ูˆุงุญุฏ ุงู…ุชู„ุฃ ุจุงู„ู…ูŠุงู‡ุŒ ุงุซู†ูŠู† ุฒุงุฏุช ุงู„ุฑูˆุงุณุจ. ุงู„ุธุงู‡ุฑุฉ ุงู„ุฑุงุจุนุฉ ููŠ ุฃูุฑูŠู‚ูŠุง ู‡ูŠ ู‚ู„ุฉ
456
+
457
+ 115
458
+ 00:11:54,780 --> 00:12:01,680
459
+ ุงู„ุฃุฑุงุถูŠ ุงู„ุณู‡ู„ูŠุฉุŒ ู‚ู„ุฉ ุงู„ุฃุฑุงุถูŠ ุงู„ุณู‡ู„ูŠุฉุŒ ู„ูˆ ุฅุญู†ุง ู†ุธุฑู†ุง
460
+
461
+ 116
462
+ 00:12:01,680 --> 00:12:08,800
463
+ ุฅู„ู‰ ู‚ุงุฑุฉ ุขุณูŠุง ูˆู‚ุงุฑุฉ ุฃูˆุฑูˆุจุงุŒ ุจู†ู„ุงู‚ูŠ ุฃูƒุซุฑ ู…ู† 60% ู…ู†
464
+
465
+ 117
466
+ 00:12:08,800 --> 00:12:14,840
467
+ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุง ุณู‡ูˆู„ุŒ ูˆุฃูƒุซุฑ ู…ู† 30% ู…ู† ุขุณูŠุง ุณู‡ูˆู„ุŒ ู„ูƒู† ููŠ
468
+
469
+ 118
470
+ 00:12:14,840 --> 00:12:24,060
471
+ ุฅูุฑูŠู‚ูŠุง ุนุจุงุฑุฉ ุนู† ูƒุชู„ุฉ ู…ู†ุฏู…ุฌุฉุŒ ู‚ู„ูŠู„ุฉ ุงู„ุณู‡ูˆู„ุŒ ุณูˆุงุก ูƒุงู†ุช
472
+
473
+ 119
474
+ 00:12:24,060 --> 00:12:30,530
475
+ ุณุงุญู„ูŠุฉ ุฃูˆ ููŠุถูŠุฉุŒ ูˆู‡ุฐู‡ ุฃูƒุจุฑ ู…ุดูƒู„ุฉ ุชุนุงู†ูŠ ู…ู†ู‡ุง ุงู„ู‚ุงุฑุฉ.
476
+
477
+ 120
478
+ 00:12:30,530 --> 00:12:34,630
479
+ ุนุดุงู† ู‡ูŠูƒ ุจู†ู„ุงู‚ูŠ ุจุนุถ ุงู„ุณู‡ูˆู„ ุงู„ุถูŠู‚ุฉ ุงู„ุชูŠ
480
+
481
+ 121
482
+ 00:12:34,630 --> 00:12:43,070
483
+ ุชุญุงุฐู‰ ุงู„ุณูˆุงุญู„ ุฃูˆ ุงู„ุดุฑุงูŠูŠู† ูˆุงู„ุฃู†ู‡ุงุฑุŒ ูˆุชุนูˆุฏ ุชู„ูƒ
484
+
485
+ 122
486
+ 00:12:43,070 --> 00:12:50,590
487
+ ุงู„ุธุงู‡ุฑุฉ ุฅู„ู‰ ุฃู†ู‡ ู…ุง ููŠ ุณู‡ูˆู„ ุฅู„ุง ุฃู†ู‡ุง ู‡ุถุจุฉ ุงู†ูƒุณุงุฑูŠุฉุŒ ู‡ุฐุง
488
+
489
+ 123
490
+ 00:12:50,590 --> 00:12:55,750
491
+ ุจุณุจุจ ุงู†ูƒุณุงุฑูŠุฉุŒ ูˆู„ุง ุชุชุฑูƒ ุจูŠู†ู‡ุง ูˆุจูŠู† ุงู„ู…ุงุก ุฅู„ุง ุณู‡ู„ุงู‹
492
+
493
+ 124
494
+ 00:12:55,750 --> 00:13:02,090
495
+ ุณุงุญู„ูŠุงู‹ ุถูŠู‚ุงู‹ุŒ ุฃู‚ู„ ู…ู† ุนุดุฑูŠู† ู…ูŠู„ุงู‹ุŒ ุนุดุฑูŠู† ู…ูŠู„ุงู‹ุŒ ูˆู‚ู„ู†ุง ุงู„ู…ูŠู„
496
+
497
+ 125
498
+ 00:13:02,090 --> 00:13:09,170
499
+ ูƒู… ูŠุง ุจู†ุงุชุŸ 1.7 ูƒูŠู„ูˆ ู…ุชุฑุŒ ุทูŠุจุŒ
500
+
501
+ 126
502
+ 00:13:09,170 --> 00:13:16,750
503
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชูŠ ููŠู‡ุง ุณู‡ู„ ู…ุชุณุน ูŠุฒูŠุฏ ุนู† ุนุดุฑูŠู† ู…ูŠู„ุงู‹ ู‡ูŠ
504
+
505
+ 127
506
+ 00:13:16,750 --> 00:13:21,630
507
+ ูˆุณุท ู…ูˆุฒู…ุจูŠู‚ุŒ ูˆุณุท ู…ูˆุฒู…ุจูŠู‚ุŒ ุฃูŠู† ู…ูˆุฒู…ุจูŠู‚ ุชู‚ุนุŸ ุนู„ู‰ ุงู„ู…ุญูŠุท
508
+
509
+ 128
510
+ 00:13:22,640 --> 00:13:29,180
511
+ ุงู„ู‡ู†ุฏูŠุŒ ููŠ ู†ุตู ุงู„ู‚ุงุฑุฉ ุงู„ุฌู†ูˆุจูŠุŒ ู‚ุจุงู„ุฉ ุฌุฒูŠุฑุฉ ู…ุฏุบุดู‚ุฑ.
512
+
513
+ 129
514
+ 00:13:29,180 --> 00:13:38,600
515
+ ุงูƒุชุจูˆุง
516
+
517
+ 130
518
+ 00:13:38,600 --> 00:13:42,100
519
+ ุนู„ู‰ ุงู„ุฎุฑูŠุทุฉุŒ ููŠ ู…ุถูŠู‚ ู…ูˆุฒู…ุจูŠู‚ุŒ ุฌู†ูˆุจ ุชู†ุฒุงู†ูŠุงุŒ ูˆุงู„ุญูˆุถ
520
+
521
+ 131
522
+ 00:13:50,340 --> 00:13:51,660
523
+ ุงู„ุฃุฏู†ู‰ ู„ู„ู†ูŠุฌุฑ.
524
+
525
+ 132
526
+ 00:13:53,890 --> 00:14:02,830
527
+ ู…ุงุดูŠุŸ ู‡ุงุชูŠู† ุงู„ู…ู†ุทู‚ุชูŠู† ุงู„ู„ุชูŠู† ููŠู‡ู…ุง ุงุชุณุงุนุŒ ุฃู…ุง
528
+
529
+ 133
530
+ 00:14:02,830 --> 00:14:07,250
531
+ ู…ุณุงุญุฉ ุญูˆุถ ู†ู‡ุฑ ุงู„ู†ูŠู„ ุทุจุนุงู‹ ุณุชุฉ ุนุดุฑ ุฃู„ู ู…ูŠู„ ู…ุฑุจุนุŒ ูˆุฏู„ุชุง
532
+
533
+ 134
534
+ 00:14:07,250 --> 00:14:18,330
535
+ ู†ู‡ุฑ ุงู„ู†ูŠู„ ุนุดุฑ ุขู„ุงู ู…ูŠู„ ู…ุฑุจุนุŒ ุงู„ุฃุฑู‚ุงู… ู†ุญูุธู‡ุง ูˆู„ุง ู„ุงุŸ
536
+
537
+ 135
538
+ 00:14:18,330 --> 00:14:26,720
539
+ ู…ู„ูŠุงู† ุงู„ูƒุชุงุจ ุฃุฑู‚ุงู…ุŒ ุงู„ูŠูˆู… ู„ู…ุง ู†ุฌูŠ ู†ู‚ูˆู„ ุฏุงุฆู…ุงู‹ ู†ูƒุฑุฑ
540
+
541
+ 136
542
+ 00:14:26,720 --> 00:14:29,960
543
+ ู‡ุฐุง ุงู„ู…ุซุงู„ุŒ ูƒุฏู‡ ุณุนุฑ ุงู„ุฏูŠู†ุงุฑ ูˆุงู„ุฏูˆู„ุงุฑุŸ ุจู†ู‚ูˆู„ ู„ูƒู… ูˆุงู„ู„ู‡
544
+
545
+ 137
546
+ 00:14:29,960 --> 00:14:34,520
547
+ ุงุฑุชูุน ุฌุฏุงู‹ุŒ ุงู†ุฎูุถ ุงู„ูŠูˆู…ุŒ ุฅุชู‘ูู‡ู… ุฏู‡ ุฅูŠุด ูŠุนู†ูŠุŸ ู„ูƒู† ู„ู…ุง
548
+
549
+ 138
550
+ 00:14:34,520 --> 00:14:42,820
551
+ ู†ุฌูŠุจ ุฑู‚ู… ูŠูุฏู„ู„ ุนู„ู‰ ุงู„ุตุฏู‚ ุงู„ูƒุงู…ู„ุŒ ูู„ุงุจุฏ ุฃู† ุฃู†ุง
552
+
553
+ 139
554
+ 00:14:42,820 --> 00:14:48,600
555
+ ุฃู‚ู„ ุดูŠุกุŒ ุฃู‚ู„ ุดูŠุกุŒ ุฃูˆ ุฃุฏู†ู‰ ุดูŠุกุŒ ููŠ ุจุนุถ ุงู„ุฃุฑู‚ุงู… ุถุฑูˆุฑูŠุฉ
556
+
557
+ 140
558
+ 00:14:48,600 --> 00:14:54,420
559
+ ู„ู„ุญูุธุŒ ู„ูƒู† ุนุดุงู† ู‡ูŠูƒ ุฌู…ูŠุน ุงู„ุฃุฑู‚ุงู… ุงู„ุชูŠ ููŠ ุงู„ูƒุชุจ ู…ูƒุชูˆุจ
560
+
561
+ 141
562
+ 00:14:54,420 --> 00:14:59,240
563
+ ุฌุงู†ุจู‡ุง ุชู‚ุฑูŠุจุงู‹ุŒ ุฅุญู†ุง ู…ุง ู†ุจุญุซ ุนู† ุงู„ุฏู‚ุฉ ุงู„ุชุงู…ุฉ ููŠ ุงู„ุฑู‚ู…ุŒ
564
+
565
+ 142
566
+ 00:14:59,240 --> 00:15:05,600
567
+ ู„ูƒู† ุชูุฏู„ู„ ุนู„ู‰ ุฃู†ู‡ ู…ุฑุชูุน ุฃูˆ ู…ู†ุฎูุถุŒ ูู‡ู…ุชูˆุงุŸ ูู„ุง ุดูƒ
568
+
569
+ 143
570
+ 00:15:05,600 --> 00:15:11,000
571
+ ุฃู† ุจุนุถ ุงู„ุฃุฑู‚ุงู… ู…ุทู„ูˆุจุฉ ููŠ ุญูุธู‡ุง.
572
+
573
+ 144
574
+ 00:15:22,220 --> 00:15:27,340
575
+ ุดุงูŠููŠู†ุŸ ุจุชู‚ูˆู„ ู„ูŠ ุดู…ุงู„ ู„ูŠุจูŠุง ุงู„ุตุญุฑุงูˆูŠุŒ ูˆุดู…ุงู„ ู…ุตุฑ
576
+
577
+ 145
578
+ 00:15:27,340 --> 00:15:31,680
579
+ ุงู„ุตุญุฑุงูˆูŠุŒ ุฅุญู†ุง ุจู†ู‚ูˆู„ ุฃุญูŠุงู†ุงู‹ ุฃู† ุงู„ุตุญุฑุงุก ุงู„ูƒุจุฑู‰ ููŠ
580
+
581
+ 146
582
+ 00:15:31,680 --> 00:15:37,840
583
+ ู„ูŠุจูŠุง ูˆู…ุตุฑ ุชูุดุฑู ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ุจุญุฑุŒ ูู‡ู„ ูŠู…ูƒู†
584
+
585
+ 147
586
+ 00:15:37,840 --> 00:15:42,000
587
+ ุงุนุชุจุงุฑู‡ู… ุณู‡ูˆู„ุงู‹ุŸ ูˆุฅุญู†ุง ุจู†ู‚ูˆู„ ุฃู† ุงู„ุชุนุฑูŠู ุงู„ุฌุบุฑุงููŠ
588
+
589
+ 148
590
+ 00:15:42,000 --> 00:15:48,560
591
+ ู„ู„ุณู‡ูˆู„ ู‡ูŠ ู…ู†ุงุทู‚ ู…ู†ุจุณุทุฉุŒ ู…ู†ุงุทู‚ ู…ู†ุจุณุทุฉุŒ ู„ูƒู† ู„ูŠุด
592
+
593
+ 149
594
+ 00:15:48,560 --> 00:15:53,580
595
+ ุจู†ุนุชุจุฑู‡ู… ุณู‡ูˆู„ุงู‹ุŸ ุฃูˆู„ุงู‹ ู…ุง ููŠุด ุฃู…ุทุงุฑุŒ ู…ุง ููŠุด ุฒุฑุงุนุฉุŒ
596
+
597
+ 150
598
+ 00:15:53,580 --> 00:15:54,880
599
+ ุฒุฑุงุนุฉุŒ
600
+
601
+ 151
602
+ 00:15:57,170 --> 00:16:02,070
603
+ ู„ูƒู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ู…ุญุงุฐูŠุฉ ู„ู†ู‡ุฑ ุงู„ู†ูŠู„ุŒ ุนุดุงู† ู„ู…ุง ู‡ูŠูƒ
604
+
605
+ 152
606
+ 00:16:02,070 --> 00:16:08,710
607
+ ุงุฌุฃ ู‡ูŠุฑูˆุฏูˆุช ูˆุดุงู ุงู„ุตุญุฑุงุก ู…ู† ูŠู…ูŠู† ุงู„ู†ู‡ุฑ ูˆูŠุณุงุฑ ุงู„ู†ู‡ุฑุŒ
608
+
609
+ 153
610
+ 00:16:08,710 --> 00:16:18,490
611
+ ู‚ุงู„ ูˆุงู„ู„ู‡ ู„ูˆ ู„ู… ุชูƒู† ู…ุตุฑ. ูู‡ู…ุชูˆุงุŸ ู†ุนู… ูŠุง...
612
+
613
+ 154
614
+ 00:16:18,490 --> 00:16:22,610
615
+ ุงู„ุธุงู‡ุฑุฉ ุงู„ุฎุงู…ุณุฉ ุงู„ุชูŠ ููŠ ุฅูุฑูŠู‚ูŠุง ู‡ูŠ ู‚ู„ุฉ ุงู„ุชุนุฑูŠุฌ
616
+
617
+ 155
618
+ 00:16:22,610 --> 00:16:28,800
619
+ ููŠ ุงู„ู‚ุงุฑุฉุŒ ู‚ู„ุฉ ุงู„ุชุนุฑูŠุฌุŒ ูˆุงู„ุธุงู‡ุฑุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ ุฅูŠุดุŸ ุงุซู†ูŠู†ุŒ
620
+
621
+ 156
622
+ 00:16:28,800 --> 00:16:35,440
623
+ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุณู‡ูˆู„ุŒ ู‚ู„ุฉ ุงู„ุณู‡ูˆู„ุŒ ู…ุงุดูŠุŒ ุฅู„ุง ููŠ
624
+
625
+ 157
626
+ 00:16:35,440 --> 00:16:40,720
627
+ ู…ู†ุทู‚ุชูŠู†: ู…ูˆุฒู…ุจูŠู‚ุŒ ูˆุญูˆุถ ุงู„ุฃุฏู†ู‰ุŒ ุงู„ุฐูŠ ู†ุนุฑูู‡ ุงู„ู†ูŠุฌุฑ.
628
+
629
+ 158
630
+ 00:16:40,720 --> 00:16:48,930
631
+ ุงู„ุธุงู‡ุฑุฉ ุงู„ุฎุงู…ุณุฉ ุนู†ุฏูŠ ู‡ูŠ ู‚ู„ุฉ ุงู„ุชุนุฑูŠุฌุŒ ู†ู†ุธุฑ ุฅู„ู‰ ุฃูˆุฑูˆุจุง
632
+
633
+ 159
634
+ 00:16:48,930 --> 00:16:53,710
635
+ ูˆู†ู†ุธุฑ ุฅู„ู‰ ุขุณูŠุงุŒ ู†ุฌุฏ ุงู„ุชุนุฑูŠุฌ ูˆุงุถุญุฉ ุนู„ู‰ ุงู„ุณูˆุงุญู„ุŒ
636
+
637
+ 160
638
+ 00:16:53,710 --> 00:16:59,910
639
+ ู…ุงุดูŠุŸ ุจูŠู†ู…ุง ููŠ ุฅูุฑูŠู‚ูŠุง ุชุฎู„ูˆ ุชู…ุงู…ุงู‹ ู…ู† ุฃูŠ ุฎู„ูŠุฌ ูŠุฏุฎู„
640
+
641
+ 161
642
+ 00:16:59,910 --> 00:17:06,610
643
+ ููŠ ุชูŽุถุงุฑูŠุณู‡ุง ุฃูˆ ููŠ ู‚ู„ุจู‡ุงุŒ ุญุชู‰ ู‡ุฐุง ูŠูุนุงูƒุณ ุนู„ู‰ ุทูˆู„ ุงู„ุณุงุญู„ุŒ
644
+
645
+ 162
646
+ 00:17:06,610 --> 00:17:13,030
647
+ ุนูƒุณ ุนู„ู‰ ุทูˆู„ ุงู„ุณูˆุงุญู„ุŒ ูุณุงุญู„ ุฃูุฑูŠู‚ูŠุง ุณุจุนุฉ ุนุดุฑ ุฃู„ู ู…ูŠู„ุŒ
648
+
649
+ 163
650
+ 00:17:15,580 --> 00:17:23,860
651
+ ููŠ ุขุณูŠุง ุณุชุฉ ูˆุซู„ุงุซูŠู† ุฃู„ู ู…ูŠู„ุŒ ู…ุงุดูŠุŸ ุนุดุงู† ุฅูŠุด ุจู†ู„ุงู‚ูŠ
652
+
653
+ 164
654
+ 00:17:23,860 --> 00:17:28,220
655
+ ุงู„ู‚ุงุฑุฉ ู…ู† ุฃูƒุซุฑ ู‚ุงุฑุงุช ุงู„ุนุงู„ู… ู…ูุนุงู†ุงุชู‡ุง ููŠ ุจู†ุงุก ุงู„ู…ูˆุงู†ุฆ
656
+
657
+ 165
658
+ 00:17:28,220 --> 00:17:34,220
659
+ ุงู„ุทุจูŠุนูŠุฉุŒ ูุบุงู„ุจูŠุฉ ู…ูˆุงู†ุฆ ุฃูุฑูŠู‚ูŠุง ู‡ูŠ ู…ูˆุงู†ุฆ ุตู†ุงุนูŠุฉุŒ
660
+
661
+ 166
662
+ 00:17:34,220 --> 00:17:38,400
663
+ ุฅูŠุด ูŠุนู†ูŠ ุตู†ุงุนูŠุฉุŸ ูŠุนู†ูŠ ู‡ู… ุจูุตู†ุนูˆู‡ุง.
664
+
665
+ 167
666
+ 00:17:46,960 --> 00:17:57,960
667
+ ุงู„ูŠูˆู… ุฃู†ุง ุนู†ุฏูŠ ู‚ุทุงุน ุบุฒุฉ ุนู„ู‰ ุงู„ุจุญุฑ ู…ุงุดูŠุŒ ู‡ูŠ
668
+
669
+ 168
670
+ 00:17:57,960 --> 00:18:06,660
671
+ ู‚ุทุงุน ุบุฒุฉ ุจุฏู†ุง ู†ุนู…ู„ู‡
672
+
673
+ 223
674
+ 00:23:30,380 --> 00:23:34,600
675
+ ุชุงูƒุฑุงุฏูŠ ููŠ ุบุงู†ุง
676
+
677
+ 224
678
+ 00:23:39,880 --> 00:23:42,460
679
+ ู‡ูŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ุชูŠ ุชุชุณุงุนุฏ ููŠู‡ุง ู…ู† ุงู„ุฑุตูŠู
680
+
681
+ 225
682
+ 00:23:42,460 --> 00:23:47,000
683
+ ุงู„ู‚ุงุฑูŠุŒ ู‡ุฐู‡ ุงู„ุธุงู‡ุฑุฉุŒ ุงู„ุธุงู‡ุฑุฉ ุงู„ุฃุฎูŠุฑุฉุŒ ุงู„ุธุงู‡ุฑุฉ
684
+
685
+ 226
686
+ 00:23:47,000 --> 00:23:53,680
687
+ ุงู„ุณุงุญู„ูŠุฉ ุงู„ุฑุตูŠู ุงู„ู‚ุงุฑูŠุŒ ุนุงุฑููŠู† ุงู„ุฑุตูŠู ุงู„ู‚ุงุฑูŠุŸ ู‡ูˆ
688
+
689
+ 227
690
+ 00:23:53,680 --> 00:23:58,460
691
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ุงุญู†ุง ู†ุฏุฎู„ ููŠู‡ุง ููŠ ุงู„ู…ูŠุฉุŒ ู‡ุฐุง ุงู„ุฑุตูŠู
692
+
693
+ 228
694
+ 00:23:58,460 --> 00:24:05,130
695
+ ุงู„ู‚ุงุฑูŠุŒ ูู…ุฏุงู… ุงู„ู‚ุงุฑุฉ ุธุงู‡ุฑุฉ ุงู†ูƒุณุงุฑูŠุฉ ู…ุน ุฏูˆู…ุฉ ุงู„ุฑุตูŠู
696
+
697
+ 229
698
+ 00:24:05,130 --> 00:24:08,710
699
+ ุงู„ู‚ุงุฑูŠุŒ ูŠุนู†ูŠ ู…ุงููŠุด ููŠู‡ ุฅูŠู‡ ุฑุตูŠู ู‚ุงุฑูŠุŒ ูˆู‚ู„ู†ุง ู‡ุฐู‡
700
+
701
+ 230
702
+ 00:24:08,710 --> 00:24:13,610
703
+ ู…ู† ู…ุนูŠู‚ุงุช ุงูƒุชุดุงู ุงู„ู‚ุงุฑุฉุŒ ุฃู† ู…ุงููŠุด ู…ูƒุงู† ุชุฑุณ ููŠู‡
704
+
705
+ 231
706
+ 00:24:13,610 --> 00:24:23,290
707
+ ุงู„ุณูู† ูุงู„ุฑุตูŠู ุงู„ู‚ุงุฑูŠ ุงู„ุนู…ู‚ ู…ุฆุฉ ู‚ุงู…ุฉุŒ ู…ุฆุฉ ู‚ุงู…ุฉุŒ ู‡ุฐุง
708
+
709
+ 232
710
+ 00:24:23,290 --> 00:24:27,840
711
+ ุงู„ู„ูŠ ุจูŠุญุฏุฏู‡ ุฅู†ู‡ ููŠ ุฑุตูŠู ูˆู„ุง ู„ุฃุŒ ุงู„ู…ุฆุฉ ู‚ุงู…ุฉ ู‡ุฐุง ูƒู„
712
+
713
+ 233
714
+ 00:24:27,840 --> 00:24:32,180
715
+ ุฑุตูŠู ุจูŠู† ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ู…ูŠู„ ุจู„ ูŠุถูŠู‚ ููŠ ุจุนุถ ุงู„ู…ู†ุงุทู‚
716
+
717
+ 234
718
+ 00:24:32,180 --> 00:24:39,360
719
+ ุนู† ู‡ุฐุง ุงู„ุฑู‚ู… ู…ู† ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ู…ูŠู„ุŒ ุงู„ู…ู†ุทู‚ุชูŠู† ุงู„ู„ูŠ
720
+
721
+ 235
722
+ 00:24:39,360 --> 00:24:47,340
723
+ ููŠู‡ู… ุฑุตูŠู ู‚ุงุฑูŠ ุจุณ ุจุงู„ู‚ุงุฑุฉ ูˆุงู„ู„ูŠ ูŠู…ูƒู† ุฃู† ูŠุตูŠุฑ ููŠู‡ุง
724
+
725
+ 236
726
+ 00:24:47,340 --> 00:24:55,640
727
+ ุตูŠุฏ ุณู…ูƒูŠ ู‡ูŠ Cape Agulhas ุฌู†ูˆุจ ุฃูุฑูŠู‚ูŠุงุŒ ุงู„ุฑุตูŠู
728
+
729
+ 237
730
+ 00:24:55,640 --> 00:24:59,870
731
+ ุงู„ู‚ุงุฑูŠ ุงู„ู…ุชุณุนุŒ ุงู„ู…ูˆุงุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ ุงู„ู…ูˆุงุฌู‡ุฉ ู„ุบูŠู†ูŠุง
732
+
733
+ 238
734
+ 00:24:59,870 --> 00:25:08,010
735
+ ู…ุฆุฉ ู‚ุงู…ุฉุŒ 120 ู…ูŠู„ุŒ ุงู„ุฃูˆู„ู‰ 230 ู…ูŠู„ุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ู†ู…ุดูŠ 230
736
+
737
+ 239
738
+ 00:25:08,010 --> 00:25:12,290
739
+ ู…ูŠู„ ูˆ ู†ู‚ูˆู„ ู‡ุฐุง ุฑุตูŠู ู‚ุงุฑูŠ ุตุงู„ุญ ู„ุนู…ู„ูŠุฉ ุตูŠุฏ ุงู„ุฃุณู…ุงูƒ
740
+
741
+ 240
742
+ 00:25:12,290 --> 00:25:20,110
743
+ ุนุดุงู† ู‡ูŠูƒ ู‚ู„ุฉ ุงู„ุฑุตูŠู ุงู„ู‚ุงุฑูŠ ุฃุซุฑุช ุนู„ู‰ ุฃู† ุงู„ู‚ุงุฑุฉ ู„ุง
744
+
745
+ 241
746
+ 00:25:20,110 --> 00:25:25,920
747
+ ุชุชุจูˆุฃ ู…ูƒุงู†ุงู‹ ููŠ ุตูŠุฏ ุงู„ุฃุณู…ุงูƒ ุงู„ุนุงู„ู…ูŠุŒ ู…ุง ููŠุด ู‡ุฐุง ุงู„ุฃุซุฑ
748
+
749
+ 242
750
+ 00:25:25,920 --> 00:25:32,540
751
+ ุนู„ู‰ ุฃู†ู‡ ู…ุงููŠุด ู…ู†ุงุทู‚ ุตูŠุฏ ูƒุซูŠุฑุฉ ุจุงู„ู‚ุงุฑุฉ ูˆุฅู†ู‡ุง ูู‚ูŠุฑุฉ
752
+
753
+ 243
754
+ 00:25:32,540 --> 00:25:40,120
755
+ ุจุฅู†ุชุงุฌ ุงู„ุซุฑูˆุฉ ุงู„ุณู…ูƒูŠุฉุŒ ูุถู„ุงู‹ ุนู† ุงู„ู…ู†ุทู‚ุฉ ุงู„ุตุบูŠุฑุฉ ุทุจุนุงู‹ ุฒูŠ
756
+
757
+ 244
758
+ 00:25:40,120 --> 00:25:46,660
759
+ ู…ุง ู‚ู„ู†ุง ููŠู‡ ุฃุฌู„ู‡ุง ุฃุณูˆุฏุŒ ู†ุฌู ู„ุนู†ุฏ ู…ุตุจุงุช ุงู„ุฃู†ู‡ุงุฑ ููŠ
760
+
761
+ 245
762
+ 00:25:46,660 --> 00:25:50,930
763
+ ุงู„ู‚ุงุฑุฉุŒ ุฅู† ุดุงุก ุงู„ู„ู‡ ูŠูˆู… ุงู„ุซู„ุงุซุงุก ุงู„ู‚ุงุฏู…ุŒุทุจ ูˆุฅู„ู‰
764
+
765
+ 246
766
+ 00:25:50,930 --> 00:25:52,990
767
+ ุฏู‚ุงุฆู‚ ุฃุฎุฑ ุฅู† ุดุงุก ุงู„ู„ู‡
PL9fwy3NUQKwZ3iK_Rs37EyfqgMSsqBUx4/qMfr7-tXxs8.srt ADDED
@@ -0,0 +1,1159 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:11,220 --> 00:00:18,480
3
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฑุณูˆู„ ุงู„ู„ู‡ ุฃู…ุง ุจุนุฏ ูุทุจุนุงู‹ ู†ูƒู…ู„
4
+
5
+ 2
6
+ 00:00:18,480 --> 00:00:24,960
7
+ ุฌุบุฑุงููŠุฉ ุงู„ุนุงู„ู… ุงู„ู‚ุฏูŠู… ุงู„ุขู† ู…ูˆุถูˆุนู†ุง ู‚ุงุฑุฉ ุฃูุฑูŠู‚ูŠุง
8
+
9
+ 3
10
+ 00:00:26,000 --> 00:00:33,980
11
+ ุงู„ู‚ุงุฑุฉ ุงู„ุชูŠ ุชุนุจุชุŒ ูˆ ุฃุชุนุจุชุŒ ูˆ ุชุนุจ ุงู„ุนุงู„ู… ู…ู† ุฃุฌู„ู‡ุง
12
+
13
+ 4
14
+ 00:00:33,980 --> 00:00:43,080
15
+ ุฅู†ู‡ุง ุงู„ู‚ุงุฑุฉ ุงู„ู…ุธู„ู…ุฉุŒ ู„ูƒู† ุญุฏูŠุซ ุงู„ุณุงุนุฉ ู‡ูˆ ุงู„ุงู…ุชุญุงู†
16
+
17
+ 5
18
+ 00:00:43,080 --> 00:00:51,580
19
+ ู„ุฃู† ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุงู…ุชุญุงู† ู†ุตููŠุŒ ุทุจูŠุนุฉ ุงู„ุงู…ุชุญุงู† ูŠุง
20
+
21
+ 6
22
+ 00:00:51,580 --> 00:00:59,360
23
+ ุจู†ุงุชุŒ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ู‡ูŠูƒูˆู†: ุจู…ุงุฐุง ู†ูุณุฑุŸ ุจู…ุงุฐุง ู†ูุณุฑุŸ ูˆ
24
+
25
+ 7
26
+ 00:00:59,360 --> 00:01:04,740
27
+ ุจู…ุงุฐุง ู†ูุณุฑ ู„ุง ูŠุนุชู…ุฏ ุนู„ู‰ ุฃู†ูŠ ุฃุญูุธ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ
28
+
29
+ 8
30
+ 00:01:04,740 --> 00:01:11,000
31
+ ุซู„ุงุซุฉุŒ ุฃูˆ ูู‚ุฑุฉ ู…ู† ุซู„ุงุซ ุฃุณุทุฑ ูˆุฃุญุทู‡ุงุŒ ูŠุนุชู…ุฏ ุนู„ู‰
32
+
33
+ 9
34
+ 00:01:11,000 --> 00:01:16,440
35
+ ุงู„ูู‡ู…ุŒ ู‡ูˆ ุฃุตู„ุงู‹ ูู‡ู… ูˆุงุณุชูŠุนุงุจ ููŠ ุงู„ุชู‚ูŠูŠู… ุงู„ุชุฑุจูˆูŠ
36
+
37
+ 10
38
+ 00:01:16,440 --> 00:01:19,900
39
+ ุชุจุนูƒู… ุงู„ู„ูŠ ุจุชุฏุฑุณูˆู‡ุŒ ุฅุฐุง ุฃู†ุชู… ุจุชุฏุฑุณูˆุง ุชุฑุจูŠุฉุŒ ุฃุณุฆู„ุฉ
40
+
41
+ 11
42
+ 00:01:19,900 --> 00:01:23,820
43
+ ุจู…ุงุฐุง ู†ูุณุฑ ู‡ูˆ ู„ู„ูู‡ู… ูˆู„ู„ุงุณุชูŠุนุงุจุŒ ุฃู†ุง ูุงู‡ู… ุจุฌุงูˆุจุŒ ู…ุด
44
+
45
+ 12
46
+ 00:01:23,820 --> 00:01:32,380
47
+ ูุงู‡ู… ู…ุง ุจุฌุงูˆุจุดุŒ ู…ุงุดูŠุŸ ู†ุฌูŠุจ ุณุคุงู„ .. ู†ุฌูŠุจ ุณุคุงู„ ู„ูˆ ุฌุงุกู†ุง
48
+
49
+ 13
50
+ 00:01:32,380 --> 00:01:38,800
51
+ ุณุคุงู„ ุจู…ุงุฐุง ู†ูุณุฑุŒ ู…ุซู„ุงู‹: ุชูˆุบู„ ุงู„ุฑูŠุงุญ ุงู„ุนูƒุณูŠุฉ ุญุชู‰ ุดุฑู‚
52
+
53
+ 14
54
+ 00:01:38,800 --> 00:01:45,010
55
+ ุฃูˆุฑูˆุจุง ูˆุขุณูŠุง. ุทุจุนุงู‹ ุจู†ู‚ูˆู„: ู„ุนุฏู… ูˆุฌูˆุฏ ู…ูˆุงู†ุน ุทุจูŠุนูŠุฉุŒ ุฃูˆ
56
+
57
+ 15
58
+ 00:01:45,010 --> 00:01:51,750
59
+ ุฎู„ูˆุฉ ุงู„ุณู‡ู„ ุงู„ุฃูˆุฑูˆุจูŠ ู…ู† ุงู„ุฌุจุงู„ุŒ ุตุญุŸ ุจู…ุนู†ู‰ ุฃู†ูŠ ุฃุญุท
60
+
61
+ 16
62
+ 00:01:51,750 --> 00:01:56,070
63
+ ุงู„ุณุคุงู„ ู‚ุฏุงู… ุนูŠู†ูŠุŒ ูˆุฃุญุท ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฌุบุฑุงููŠุฉ ู‚ุฏุงู…
64
+
65
+ 17
66
+ 00:01:56,070 --> 00:02:04,970
67
+ ุนูŠู†ูŠุŒ ูˆุฃู‚ุงุฑู†ุŒ ู…ุงุดูŠุŸ ูƒู…ุงู† ุณุคุงู„: ุงู„ูŠูˆู… ุงุญู†ุง ุฃุฎุฐู†ุง
68
+
69
+ 18
70
+ 00:02:04,970 --> 00:02:11,240
71
+ ุงู…ุชุฏุงุฏ ุฌุจุงู„ ุงู„ู‚ู„ุจ ุงู„ุฃูˆุฑูˆุจูŠุฉุŒ ู‚ู„ู†ุง ู…ู† ุงู„ุบุฑุจ ุญุชู‰ ุงู„ุดุฑู‚
72
+
73
+ 19
74
+ 00:02:11,240 --> 00:02:17,880
75
+ ู„ูˆ ู‚ู„ู†ุง ู„ูƒู…: ุงู„ู†ุชุงุฆุฌ ุงู„ู…ุชุฑุชุจุฉ ุนู„ู‰ ุฐู„ูƒุŒ ุจุฏูŠ ุฃุนุฑู ุฃู†ู‡
76
+
77
+ 20
78
+ 00:02:17,880 --> 00:02:23,940
79
+ ุชู…ู†ุน ู…ู† ุงู„ุดู…ุงู„ ู„ู„ุฌู†ูˆุจุŒ ูˆู…ู† ุงู„ุฌู†ูˆุจ ู„ู„ุดู…ุงู„ุŒ ูŠุนู†ูŠ ุฃููƒุฑ
80
+
81
+ 21
82
+ 00:02:23,940 --> 00:02:30,220
83
+ ุจุฃุนู…ู„ุŒ ู„ูˆ ุฌูŠู†ุง ู„ุณุคุงู„ ู†ุฌูŠุจูู‡: ุฅู† ุงุฎุชู„ุงู ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ููŠ
84
+
85
+ 22
86
+ 00:02:30,220 --> 00:02:36,220
87
+ ู†ูุณ ุงู„ู…ู†ุทู‚ุฉ ุจูŠู† ุงู„ูŠุงุจุณ ูˆุงู„ุฃุทู„ุณูŠุŒ ููŠ ู†ูุณ ุงู„ู…ู†ุทู‚ุฉุŒ ู„ูˆ
88
+
89
+ 23
90
+ 00:02:36,220 --> 00:02:43,300
91
+ ุฃู†ุง ูˆู‚ูุช ุนู„ู‰ ุงู„ูŠุงุจุณุฉ ูˆุจู†ุธุฑ ู„ู„ุจุญุฑุŒ ุญุฑุงุฑุชูŠ ุจุชุฎุชู„ู ุนู†
92
+
93
+ 24
94
+ 00:02:43,300 --> 00:02:49,880
95
+ ุงู„ู„ูŠ ููŠ ุงู„ุจุญุฑุŒ ุทุจุนุงู‹ุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุงู„ุชูŠุงุฑ ุงู„ุฎู„ูŠุฌูŠ
96
+
97
+ 25
98
+ 00:02:49,880 --> 00:02:59,620
99
+ ุงู„ุฏุงูุฆ ู‡ูˆ ุงู„ุฐูŠ ูŠุฏูุฆ ุงู„ู…ู†ุทู‚ุฉุŒ ูŠุฏูุฆ ุงู„ู…ู†ุทู‚ุฉุŒ ู…ุงุดูŠุŸ ูŠุนู†ูŠ ..
100
+
101
+ 26
102
+ 00:03:06,350 --> 00:03:14,450
103
+ ุทูŠุจุŒ ู…ุงุดูŠุŒ ุงูู‡ู…ู†ุงุŸ ุทูŠุจุŒ ู‡ุฐุง ุจุฏุฃ ู†ูุณุฑุŒ ุจุฏุฃ ุฅูŠู‡ุŸ
104
+
105
+ 27
106
+ 00:03:14,450 --> 00:03:24,270
107
+ ู†ูุณุฑ ุนุดุฑ ุฃุณุฆู„ุฉ ุนู„ูŠู‡ุง ุงุซู†ุชุง ุนุดุฑุฉ ุฅุฌุงุจุฉุŒ ุงุซู†ุชุง ุนุดุฑุฉ ุฏุฑุฌุฉุŒ
108
+
109
+ 28
110
+ 00:03:24,270 --> 00:03:30,590
111
+ ุจู…ุง ุฃู† ู†ูุณุฑ ุนุดุฑ ุชูุณูŠุฑุงุชุŒ ุนู„ูŠู‡ุง ุงุซู†ุชุง ุนุดุฑุฉ ุฏุฑุฌุฉ. ุณุคุงู„
112
+
113
+ 29
114
+ 00:03:30,590 --> 00:03:38,570
115
+ ุงู„ุซุงู†ูŠ ูˆุงู„ุซุงู„ุซ ูˆุงู„ุฑุงุจุน: ุซู„ุงุซ ุฎุฑุงุฆุทุŒ ุงุฑุณู… ุฎุฑูŠุทุฉ ู„ู‚ุงุฑุฉ
116
+
117
+ 30
118
+ 00:03:38,570 --> 00:03:42,390
119
+ ุฃูˆุฑูˆุจุง ู…ูˆุถุญุงู‹ ุนู„ูŠู‡ุง ุงู„ู…ุนุงู„ู… ุงู„ุฏุฑุงุณูŠุฉุŒ ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุจูŠุฌูŠ ุฃุจูˆ
120
+
121
+ 31
122
+ 00:03:42,390 --> 00:03:47,450
123
+ ุดู…ุงู„ุง ุจุชู‚ูˆู„ูŠ: ุงุฑุณู… ู„ูŠ ู‡ุฐู‡ ุงู„ุฎุฑูŠุทุฉุŒ ุทุจุนุงู‹ ุงุญู†ุง ู‚ู„ู†ุง ูŠุง
124
+
125
+ 32
126
+ 00:03:47,450 --> 00:03:48,250
127
+ ุจู†ุงุช
128
+
129
+ 33
130
+ 00:03:50,630 --> 00:03:56,310
131
+ ุญุงุถุฑุŒ ุญุงุถุฑุŒ ุญุงุถุฑุŒ ู‚ู„ู†ุง ูŠุง ุจู†ุงุช ุฃู† ุงู„ูƒุชุงุจ ุฃุจูŠุถ ูˆุฃุณูˆุฏ
132
+
133
+ 34
134
+ 00:03:56,310 --> 00:04:02,130
135
+ ูˆุจุงู„ุชุงู„ูŠ ู„ุงุฒู… ูŠูƒูˆู† ู…ุนู‡ ุฃุทู„ุณุŒ ู…ุนู‡ ุฃุทู„ุณ ุนุดุงู† ุขุฎุฐ
136
+
137
+ 35
138
+ 00:04:02,130 --> 00:04:08,470
139
+ ุจุงู„ุฃู„ูˆุงู†ุŒ ู‡ู†ุฑุณู… ุงุญู†ุง ุฃูˆุฑูˆุจุง ูˆู†ูˆุฒุน ุนู„ูŠู‡ุงุŒ ูˆุฅุฐุง ุงุญู†ุง
140
+
141
+ 36
142
+ 00:04:08,470 --> 00:04:14,570
143
+ ู„ู„ูŠูˆู… ู…ุด ุนุงุฑููŠู† ู†ุฑุณู… ุฃูˆุฑูˆุจุงุŒ ุญุฑุงู…ุŒ ุจูƒุฑุง ู†ูƒูˆู† ู…ุฏุฑุณูŠู†
144
+
145
+ 37
146
+ 00:04:14,570 --> 00:04:19,710
147
+ ู‡ุงูŠุŒ ู‚ู„ู†ุง ุฅูŠู‡ ุงู„ุดุงู‡ุฏ ุงู„ู„ูŠ ุจูŠู…ุดูŠุŒ ุฃู†ุง ุนู†ุฏู‡
148
+
149
+ 38
150
+ 00:04:23,170 --> 00:04:29,110
151
+ ุฅุณุจุงู†ูŠุง: 1600 ูƒูŠู„ูˆู…ุชุฑ ุนู„ู‰ ุงู„ุจุญุฑ ุงู„ู…ุชูˆุณุทุŒ ุทูˆู„ ู…ุถูŠู‚
152
+
153
+ 39
154
+ 00:04:29,110 --> 00:04:35,050
155
+ ุฌุจู„ ุทุงุฑู‚ ููŠ: 14 ูƒูŠู„ูˆู…ุชุฑุŒ ุงู„ุณุงุญู„ ุงู„ูุฑู†ุณูŠ ุนู„ู‰
156
+
157
+ 40
158
+ 00:04:35,050 --> 00:04:38,930
159
+ ุงู„ู…ุชูˆุณุท: ู…ูŠู†ุงุก ุทูˆู„ูˆู†ุŒ ุงู„ู„ูŠ ุฎุฑุฌ ู…ู†ู‡ ู†ุงุจู„ูŠูˆู† ุจูˆู†ุงุจุฑุช
160
+
161
+ 41
162
+ 00:04:38,930 --> 00:04:45,930
163
+ ุณู†ุฉ 1798ุŒ ูŠุงุฑูŠุช ุงุญู†ุง ู†ุญุด ู…ุฎู†ุง ุจูƒุซูŠุฑ ู…ู† ุงู„ู…ุนู„ูˆู…ุงุช
164
+
165
+ 42
166
+ 00:04:45,930 --> 00:04:50,740
167
+ ูˆุงู„ุจูŠุงู†ุงุชุŒ ูˆุฃู†ุง ู…ุงุดูŠ ุจู‚ุนุฏ ุฃุญูƒูŠ ูˆู„ุง ู…ุด ุตุญุŸ ู„ู…ุง ุชู‚ู
168
+
169
+ 43
170
+ 00:04:50,740 --> 00:04:55,040
171
+ ููŠ ุงู„ู„ูŠ ุฌุงูŠ ู…ู‚ุงุจู„ุฉ ุจูƒุฑุฉ ุชุฏุฑูŠุณุŒ ุณุชูˆุจุŒ ูˆุงุญุฏ ุจูŠุณุฃู„ูƒู…
172
+
173
+ 44
174
+ 00:04:55,040 --> 00:05:01,180
175
+ ุงู„ุญุงู„ ูŠุบู†ูŠ ุนู† ุงู„ุณุคุงู„ุŒ ูˆุงู„ุณุคุงู„ ุตุญ ูˆู„ุง ู„ุงุŸ ุทูŠุจ
176
+
177
+ 45
178
+ 00:05:01,180 --> 00:05:05,680
179
+ ุฅูŠุทุงู„ูŠุง ุทุจุนุงู‹ ูƒู„ูƒู… ุนุงุฑููŠู† ุงู„ูˆุตู ุงู„ุทุจูŠุนูŠ
180
+
181
+ 46
182
+ 00:05:05,680 --> 00:05:13,820
183
+ ู„ุฅูŠุทุงู„ูŠุง: ู…ุณูŠู†ุง ูˆุตู‚ู„ูŠุฉ ูˆุณุฑุฏูŠู†ูŠุง ูˆุจูˆุฑูŠุณุงุฑุฏูŠู†ูŠุง
184
+
185
+ 47
186
+ 00:05:13,820 --> 00:05:18,720
187
+ ุณุฑุฏูŠู†ูŠุง ูˆูƒูˆุฑุณูŠูƒุงุŒ ู…ุง ู‡ูŠ ุณุฑุฏูŠู†ูŠุงุŸ ุณุฑุฏูŠู†ูŠุง ูˆุจูˆุฑูŠุณุงุฑุฏูŠู†ูŠุง
188
+
189
+ 48
190
+ 00:05:18,720 --> 00:05:22,810
191
+ ุจูˆุฑูŠุณุงุฑุฏูŠู†ูŠุง ูˆูƒูˆุฑุณูŠูƒุงุŒ ูˆุงุญุฏุฉ ู„ุฅุณุจุงู†ูŠุงุŒ ูˆูˆุงุญุฏุฉ
192
+
193
+ 49
194
+ 00:05:22,810 --> 00:05:30,170
195
+ ู„ุฅูŠุทุงู„ูŠุงุŒ ุนู„ู‰ ููƒุฑุฉ ูŠุนู†ูŠุŒ ุทูŠุจ ู†ุฌูŠ ู„ู„ุจู„ู‚ุงู†ุŒ ุญุฑุจ ุงู„ุจู„ู‚ุงู†
196
+
197
+ 50
198
+ 00:05:30,170 --> 00:05:35,950
199
+ ูƒู„ู‡ุงุŒ ุญุฑุจ ุงู„ุจู„ู‚ุงู†ุŒ ุงู„ู‚ุฑู…ุŒ ู…ุงุดูŠุŒ ุงู„ุจุณููˆุฑ ูˆุงู„ุฏุฑุฏู†ูŠู„ุŒ ูˆ
200
+
201
+ 51
202
+ 00:05:35,950 --> 00:05:45,570
203
+ ู…ุงุฑู…ุงุฑุงุŒ ุงู„ู‚ุฑู…ุŒ Is of ุงู„ุจุญุฑ ุงู„ุฃุณูˆุฏุŒ ู…ุงุดูŠุŸ ุฌู†ูˆุจ ุฃูˆุฑูˆุจุง
204
+
205
+ 52
206
+ 00:05:45,570 --> 00:05:53,780
207
+ ู…ุถูŠู‚ ุจูŠุณูƒุงูŠุŒ ู…ุงุดูŠุŸ ูุฑู†ุณุงุŒ ู‡ูˆู„ู†ุฏุงุŒ ุจู„ุฌูŠูƒุงุŒ ุงู„ุฏู†ู…ุงุฑูƒุŒ
208
+
209
+ 53
210
+ 00:05:53,780 --> 00:06:01,780
211
+ ุงู„ุจุญุฑ ุงู„ุจู„ุทูŠุŒ ุจูˆู„ูˆู†ูŠุงุŒ ูู†ู„ู†ุฏุงุŒ ุงู„ุณูˆูŠุฏ ูˆุงู„ู†ุฑูˆูŠุฌุŒ
212
+
213
+ 54
214
+ 00:06:01,780 --> 00:06:05,520
215
+ ุฎู„ุตู†ุง ู…ู† ุฎุฑูŠุทุฉ ุฃูˆุฑูˆุจุงุŒ ุดูˆ ุถุงูŠู„ุŸ ุฃู‡ู… ุงู„ู…ุนุงู„ู…
216
+
217
+ 55
218
+ 00:06:05,520 --> 00:06:12,900
219
+ ุงู„ุฏุฑุงุณูŠุฉ: ุงู„ุจุฑุงู†ุณุŒ ูƒุงู†ุชุงุจุฑูŠุงุŒ ุณูŠูŠุฑุง ู†ูŠูุงุฏุงุŒ ู‡ุฐุง
220
+
221
+ 56
222
+ 00:06:12,900 --> 00:06:20,100
223
+ ุจุชู„ู…ูŠุธุฉุŒ ุตุนุจุฉุŸ ุฅูŠุทุงู„ูŠุง ุงู„ูƒุจูŠุฑุฉุŒ ุงู„ู‚ู„ุจ ุงู„ู„ูŠ ููŠ
224
+
225
+ 57
226
+ 00:06:20,100 --> 00:06:25,120
227
+ ุงู„ุดู…ุงู„ุŒ ุงู„ู€ .. ุงู„ุฏูŠู†ุงุฑูŠุฉุŒ ุงู„ู€ .. ุงู„ู€ BenignุŒ ุงู„ู€ ุฅูŠู‡ุŸ ุงู„ู€
228
+
229
+ 58
230
+ 00:06:25,120 --> 00:06:28,860
231
+ Ben .. ุงู„ู€ Apennine ุงู„ุฅูŠุทุงู„ูŠุฉุŒ ุงู„ุฃุชุฑูˆุณูƒุงู†ูŠุฉ
232
+
233
+ 59
234
+ 00:06:28,860 --> 00:06:34,380
235
+ ูˆุงู„ู„ูŠุฌูˆุฑูŠุฉุŒ ุงู„ุฃุชุฑูˆุณูƒุงู†ูŠุฉ ูˆุงู„ู„ูŠุฌูˆุฑูŠุฉุŒ ุฎู„ุตู†ุงุŒ ุงู„ุฃุณ
236
+
237
+ 60
238
+ 00:06:34,380 --> 00:06:42,160
239
+ ุงู„ู…ู‚ู„ูˆุจุฉุŒ ุงู„ูƒุงุฑุจุงุชุŒ ุงู„ู€ .. ุงู„ู‚ู„ุจ ุงู„ุฏูŠู†ุงุฑูŠุฉ ููŠู‡ ุงู„ู€
240
+
241
+ 61
242
+ 00:06:42,160 --> 00:06:50,440
243
+ ุชุฑุงู†ุณู„ูุงู†ูŠุงุŒ ุงู„ู‚ูˆู‚ุงุฒุŒ ุจูŠู† ู‚ุฒูˆูŠู† ูˆุจูŠู† ุงู„ู€ .. ุญุงุถุฑุŒ
244
+
245
+ 62
246
+ 00:06:50,440 --> 00:06:56,710
247
+ ุญุงุถุฑุŒ ุญุงุถุฑุŒ ุฎู„ุตุชุŸ ุฃู†ุง ู…ุนูŠ ู‚ู„ู… ุฃุฎุถุฑุŒ ุจู‚ูˆู„ ุฃู† ู‡ุฐุง ูƒู„ู‡
248
+
249
+ 63
250
+ 00:06:56,710 --> 00:07:03,150
251
+ ุงู„ุณู‡ู„ ุงู„ุฃูˆุฑูˆุจูŠ ุงู„ุนุธูŠู…ุŒ ุฎู„ุตุชุŸ ู„ุงุŒ ู„ุณู‡ ุถุงูŠู„ุŒ ููŠ ุนู†ุฏูŠ
252
+
253
+ 64
254
+ 00:07:03,150 --> 00:07:07,250
255
+ ู‡ุงู†ุŒ ุตู‚ู„ูŠุฉุŒ ุฌุจุงู„ ุฅุณูƒู†ุฏู†ุงููŠุงุŒ ุจุญุทู‡ุง ููŠ ุนู†ุฏูŠุŒ ู‡ุงู†
256
+
257
+ 65
258
+ 00:07:07,250 --> 00:07:15,870
259
+ ุจุฑูŠุทุงู†ูŠุงุŒ ู‚ุงุนุฏุฉ ุนู„ู‰ ูƒุฑุณูŠ ู…ุฑุชุงุญุฉุŒ ุฅูŠุฑู„ู†ุฏุงุŒ ุฃูŠุณู„ู†ุฏุง
260
+
261
+ 66
262
+ 00:07:15,870 --> 00:07:25,890
263
+ ูƒุชูŠุฑุŸ ู…ุด ูƒุชูŠุฑุŒ ุฌุจุงู„ ุฃูˆุฑุงู„ุŒ ููˆู‚ ุจุญุฑ ู‚ุฒูˆูŠู† ุจุงู„ุถุจุทุŒ
264
+
265
+ 67
266
+ 00:07:25,890 --> 00:07:30,890
267
+ ูุชุญุฉ ุฎู…ุณู…ุงุฆุฉ ู…ุชุฑ ุจูŠู† ู‚ุฒูˆูŠู† ูˆุงู„ุฃูˆุฑุงู„ุŒ ู…ุง ุชุจู‚ู‰ุŒ
268
+
269
+ 68
270
+ 00:07:30,890 --> 00:07:40,260
271
+ ุจุญุท ูƒู„ู‡ ุฅูŠุดุŸ ุงู„ุณู‡ู„ ุงู„ุฑูˆุณูŠุŒ ู…ุง ู„ุง ู„ุงุŒ ุงู„ุตุนุจุฉ ู‡ุฐู‡
272
+
273
+ 69
274
+ 00:07:40,260 --> 00:07:45,580
275
+ ุฎู„ุตู†ุง ู…ู† ุงู„ุชุฏุฑูŠุณุŒ ุงู„ู‡ุถุงุจ: ุนู†ุฏู‡ุง ู‡ุถุจุฉุŒ ูˆุนู†ุฏู‡ุง
276
+
277
+ 70
278
+ 00:07:45,580 --> 00:07:50,140
279
+ ู‡ุถุจุฉุŒ ูˆุนู†ุฏู‡ุง ู‡ุถุจุฉุŒ ุงู„ููˆุฌุŒ ูˆุงู„ุบุงุจุฉุŒ ูˆุงู„ู€ .. ู‡ุถุจุฉ
280
+
281
+ 71
282
+ 00:07:50,140 --> 00:07:55,780
283
+ ุงู„ู€ .. ุฅูŠุด ุงุณู…ู‡ุŸ ุงู„ุฃุฑุฏู†ุŒ ุฌุจุงู„ุŒ ุชู„ุงู„ุŒ ุงู„ู‡ุถุงุจ
284
+
285
+ 72
286
+ 00:07:55,780 --> 00:07:59,940
287
+ ุงู„ู‡ุฑุณูŠู†ูŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ูŠู‚ุทุฑ ููŠู‡ุง ุงู„ูุญู…ุŒ ูŠู‚ุน ู…ู†ูƒ
288
+
289
+ 73
290
+ 00:07:59,940 --> 00:08:07,030
291
+ ุญุฑูุŒ ูˆุจุงู„ุชุงู„ูŠ ุจุฏูŠ ุฃู‚ุฑุง ุจูุฑูˆุงูŠุฉุŒ ุฃู‚ุฑุง ุฅูŠุดุŸ ุจูุฑูˆุงูŠุฉุŒ ูŠุนู†ูŠ
292
+
293
+ 74
294
+ 00:08:07,030 --> 00:08:17,150
295
+ ุทุงู„ุจ ุจูŠู‚ูˆู„ ู„ูŠ: ุฌูŠุช ุฃู„ุฎุต ุงู„ู…ุงุฏุฉ ุจุชุถู„ ุฒูŠ ู…ุง ู‡ูŠ ูŠุง
296
+
297
+ 75
298
+ 00:08:17,150 --> 00:08:21,810
299
+ ุฃุณุชุงุฐ ุฃุจูˆ ุญู…ุฒุฉุŒ ุจูŠู‚ูˆู„ ู„ูŠ: ุฃูŠ ูƒุชุงุจ ููŠ ุฃูŠ ู…ู‚ุฑุฑ ุจุนู…ู„ู‡
300
+
301
+ 76
302
+ 00:08:21,810 --> 00:08:27,710
303
+ ูุฑุฎูŠู† ุจุญูุธู‡ู…ุŒ ุจุญู„ ุงู„ุงู…ุชุญุงู†ุŒ ุงู„ุนุงู„ู… ุงู„ู‚ุฏูŠู… ุฌูŠุช ุฃู„ุฎุตู‡
304
+
305
+ 77
306
+ 00:08:27,710 --> 00:08:37,870
307
+ ู…ุง ุนุฑูุชุด ุฃุฌูŠุจู‡ุŒ ู…ุญุฑูุŒ ูƒู„ู‡ุง ุฒูŠ ู…ุง ู‡ูŠุŒ ูุฑุฌุนุช ู„ู„ูƒุชุงุจุŒ ูู„ุง
308
+
309
+ 78
310
+ 00:08:37,870 --> 00:08:41,370
311
+ ูŠู…ูƒู† ุงู„ุงุณุชุบู†ุงุก ุนู† ุณุทุฑ ุนู† ุญุฑูุŒ ุฅู„ุง ุฅุฐุง ู…ุง ุจุฏูŠุด ุฃุญูุธู‡
312
+
313
+ 79
314
+ 00:08:41,370 --> 00:08:49,850
315
+ ุฎู„ุตู†ุง ู‡ุฐู‡ุŒ ุฎู„ุตู†ุง ู‡ุฐู‡ุŒ ู†ุฌูŠ ู„ู„ุฃู‚ุงู„ูŠู…ุŒ ุตุญุŸ ุฎู„ุตู†ุง
316
+
317
+ 80
318
+ 00:08:49,850 --> 00:08:55,310
319
+ ุงู„ุฃู‚ุงู„ูŠู…ุŒ ุทุจุนุงู‹ ู…ุนู†ุง ู‚ู„ู… ุงู„ุฑุตุงุต ู„ุฃู†ู†ุง ู…ูˆุณูŠู‚ูŠูˆู† ู‚ุจู„ ุฃู†
320
+
321
+ 81
322
+ 00:08:55,310 --> 00:09:02,620
323
+ ุชุฎุฑุฌูˆุง ู„ู„ุดุงุฑุนุŒ ุตุญ ูˆู„ุง ู…ุด ุตุญูŠุญุŸ ู‡ุŸ ุญุงุถุฑุŒ ูƒู…ุงู† ุญุงุถุฑุŒ ูƒู„
324
+
325
+ 82
326
+ 00:09:02,620 --> 00:09:09,520
327
+ ุดูŠุก ุฃู†ุง ู‡ุฌูŠุจู‡ ู„ูƒู…ุŒ ุฅูŠู‡ ุฃู†ุงุŒ ุชุตุฑูŠู ุงู„ู†ู‡ุฑ ุฅูŠู‡ุŸ ุงู„ุชุตุฑูŠู
328
+
329
+ 83
330
+ 00:09:09,520 --> 00:09:13,480
331
+ ุงู„ู†ู‡ุฑ ุฅูŠู‡ุŸ ุฃู†ู‡ุงุฑ ุฅูŠุจูŠุฑูŠุง ุงู„ุงุซู†ูŠู† ุฃูˆ ุงู„ุซู„ุงุซุฉ ุงู„ุฃุตุบุฑ
332
+
333
+ 84
334
+ 00:09:13,480 --> 00:09:22,460
335
+ ุงู„ูˆุงุฏ ุงู„ูƒุจูŠุฑ ูˆุฅูŠุจุฑุงุŒ ุตุญุŸ ุงู„ู†ู‡ุฑ ุงู„ุนุธูŠู…ุŒ ูˆูŠู† ู‡ุฐุงุŸ
336
+
337
+ 85
338
+ 00:09:24,210 --> 00:09:29,290
339
+ ููŠ ู„ูˆู…ุจุงุฑุฏูŠุงุŒ ููŠ ุณู‡ู„ ู„ูˆู…ุจุงุฑุฏูŠุงุŒ ู†ู‡ุฑ ุจูˆุŒ ูˆุจุนุฏูŠู†
340
+
341
+ 86
342
+ 00:09:29,290 --> 00:09:34,830
343
+ ู†ู‡ุฑ ุงู„ุฑุงูŠู†ุŒ ู†ู‡ุฑ ุงู„ุนูˆุงุตู…ุŒ ุงู„ู…ูุณุชู„ู‚ูŠุŒ ุฎู…ุณ ุนุดุฑุฉ ู…ุฏูŠู†ุฉ
344
+
345
+ 87
346
+ 00:09:34,830 --> 00:09:39,210
347
+ ุงู‚ุชุตุงุฏูŠุฉุŒ ูˆุนุดุฑ ุนูˆุงุตู… ุฑุฆูŠุณูŠุฉุŒ ูˆุนุดุฑ ุฏูˆู„ุŒ ูˆู„ู…ุง
348
+
349
+ 88
350
+ 00:09:39,210 --> 00:09:43,790
351
+ ุงู„ุตุญูŠุญุŒ ู†ู‡ุฑ ุงู„ุฏุงู†ูˆุจุŒ ุฃุนุธู… ุฃู†ู‡ุงุฑ ุฃูˆุฑูˆุจุงุŒ ูˆู„ุง
352
+
353
+ 89
354
+ 00:09:43,790 --> 00:09:48,710
355
+ ูŠููˆุชู‡ ุฃุนุธู… ุฅู„ุง ุงู„ุฑุงูŠู†ุŒ ู„ุฃู†ู‡ ููŠ ุฃู„ู…ุงู†ูŠุงุŒ ูˆุนู†ุฏ
356
+
357
+ 90
358
+ 00:09:48,710 --> 00:09:57,330
359
+ ุฃู„ู…ุงู†ูŠุง ู†ูˆู‚ูู‡ุŒ ูˆุจุนุฏูŠู† ุงู„ุฃู†ู‡ุงุฑ ุงู„ุตุบูŠุฑุฉ: ุงู„ุฌูˆุงุฑ
360
+
361
+ 91
362
+ 00:09:57,330 --> 00:10:02,030
363
+ ูˆุงู„ุณูŠู† ูˆุงู„ู„ูˆุงุฑ ููŠ ูุฑู†ุณุงุŒ ูˆุฃุฑูŠู†ุงูƒู… ู†ู‡ุฑ ุงู„ุณูŠู†
364
+
365
+ 92
366
+ 00:10:02,030 --> 00:10:09,430
367
+ ูƒู†ู…ูˆุฐุฌ ู„ุฃู†ู‡ุงุฑ ุฃูˆุฑูˆุจุง ุงู„ุชูŠ ุชูุนุชุจุฑ ุดุจูƒุฉ ุนู†ูƒุจูˆุชูŠุฉุŒ ู†ู‡ุฑ
368
+
369
+ 93
370
+ 00:10:09,430 --> 00:10:15,730
371
+ ุงู„ููˆู„ุบุงุŒ ุงู„ุฏุงู†ุณุชุฑุŒ ุงู„ู„ูŠ ุจูŠุตุจ ู„ูˆูŠู†ุŸ ููŠ ุจุญุฑ ู‚ุฒูˆูŠู†ุŒ ุนู†ุฏ
372
+
373
+ 94
374
+ 00:10:15,730 --> 00:10:21,920
375
+ ู…ุฏูŠู†ุฉ ุงุณู…ู‡ุง ุฃุณุชุฑุฎุงู†ุŒ ุฃูŠ ูˆุงู„ู„ู‡ุŒ ูˆุฃู†ุง ููŠ ุงู„ุฌุงู…ุนุฉ ุญูุธุช
376
+
377
+ 95
378
+ 00:10:21,920 --> 00:10:27,420
379
+ ุงู„ุฏูƒุชูˆุฑ ุฑุญู…ู‡ ุงู„ู„ู‡ ุนู„ูŠู‡ ู…ุญู…ุฏ ุฎู…ูŠุณ ุงู„ุฒูˆูƒุงุŒ ู†ู‚ู ุฅุฌู„ุงู„ุงู‹
380
+
381
+ 96
382
+ 00:10:27,420 --> 00:10:31,680
383
+ ูˆุงุญุชุฑุงู…ุงู‹ ูˆุชู‚ุฏูŠุฑุงู‹ุŒ ูˆู†ุฏุนูˆ ุงู„ู„ู‡ ุฃู† ูŠุฑุญู…ู‡ุŒ ุนู† ูƒู„ ุญุฑู
384
+
385
+ 97
386
+ 00:10:31,680 --> 00:10:35,440
387
+ ุนู„ู…ู†ุงุŒ ู…ุญู…ุฏ ุฎู…ูŠุณ ุงู„ุฒูˆูƒุงุŒ ู…ุงุช ุณู†ุฉ ุฃู„ู ูˆุชุณุนู…ุงุฆุฉ ูˆุชุณุนูŠู†
388
+
389
+ 98
390
+ 00:10:35,440 --> 00:10:38,480
391
+ ุนู„ู…ู†ุง
392
+
393
+ 99
394
+ 00:10:38,480 --> 00:10:46,060
395
+ ุงู„ุฌุบุฑุงููŠุงุŒ ุงู„ุนุงู„ู… ุงู„ู‚ุฏูŠู…ุŒ ู…ุด ุฅูŠู‡ุŸ ูˆูƒุงู†ุช ู…ุด ูƒุชุงุจ ุฒูŠ
396
+
397
+ 100
398
+ 00:10:46,060 --> 00:10:54,470
399
+ ู‡ุฐุงุŒ ูƒุจูŠุฑุŒ ุตุบูŠุฑุŒ 92 ูˆุฑู‚ุฉุŒ 92 ูˆุฑู‚ุฉุŒ ุทูŠุจุŒ ุฎู„ุงุตุŒ ุงู„ุฃู†ู‡ุงุฑ
400
+
401
+ 101
402
+ 00:10:54,470 --> 00:11:00,130
403
+ ู†ูŠุฌูŠ ู„ุฅู‚ู„ูŠู… ูŠุง ุจู†ุงุชุŒ ู†ูŠุฌูŠ ู„ุฅู‚ู„ูŠู…ุŒ ู…ู† ุงู„ุณู‡ู„ ุฌุฏุงู‹ ุฃู†
404
+
405
+ 102
406
+ 00:11:00,130 --> 00:11:06,390
407
+ ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ุญุฏูˆุฏ ุงู„ู…ุชูˆุณุท ู‡ูŠ ุฅูŠุดุŸ ุจุญุฑ ู…ุชูˆุณุทุŒ ูˆุจู‚ู‰
408
+
409
+ 103
410
+ 00:11:06,390 --> 00:11:13,790
411
+ ู…ูŠุฒูˆุŒ ุตุญุŸ ู…ุงุดูŠุŸ ูˆุจุนุฏูŠู†ุŒ ุฎุตุงุฆุต ุฌุบุฑุงููŠุฉ ุงู„ู…ูˆู‚ุน
412
+
413
+ 104
414
+ 00:11:13,790 --> 00:11:19,950
415
+ ุงู„ุฌุบุฑุงููŠุŒ ุฌู†ูˆุจ ุฃูˆุฑูˆุจุงุŒ ู…ู…ุชุงุฒุŒ ุฃุฌูŠุจ ุฏูˆุฑุฉ ุนุฑุถุŒ ู„ูƒู† ุงู„ุฃูƒุซุฑ
416
+
417
+ 105
418
+ 00:11:19,950 --> 00:11:25,410
419
+ ุงู…ุชูŠุงุฒุงู‹ ุฃู† ู…ุง ููŠุด ุฏูˆุฑุฉ ุนุฑุถ ู…ุญุฏุฏุฉ ู„ุฅู‚ู„ูŠู… ุงู„ู…ุชูˆุณุท ููŠ
420
+
421
+ 106
422
+ 00:11:25,410 --> 00:11:29,450
423
+ ุฌู†ูˆุจ ุฃูˆุฑูˆุจุงุŒ ู„ุฃู†ู‡ ุญุณุจ ุงู„ู…ูˆู‚ุน ุงู„ุฌุบุฑุงููŠ ุงู„ู…ุญู„ูŠ
424
+
425
+ 107
426
+ 00:11:29,450 --> 00:11:36,930
427
+ ุฃู‚ูˆู„: ุงู„ุฎุตุงุฆุต ุงู„ู…ู†ุงุฎูŠุฉ: ุญุฑุงุฑุฉ ูˆู…ุทุฑุŒ ุญุฑุงุฑุฉ ุตูŠูุงู‹
428
+
429
+ 108
430
+ 00:11:36,930 --> 00:11:43,330
431
+ ูˆุญุฑุงุฑุฉ ุดุชุงุกู‹ุŒ ู…ุทุฑ ุตูŠูุงู‹ ูˆู…ุทุฑ ุดุชุงุกู‹ุŒ ู‡ุฐุง ุงู„ุฅู‚ู„ูŠู… ุญุฑุงุฑุชู‡
432
+
433
+ 109
434
+ 00:11:43,330 --> 00:11:47,590
435
+ ููŠ ุงู„ุตูŠู ู†ุงุฑุŒ ูˆุฃู†ุชู… ุนุงุฑููŠู†ุŒ ุฃู‡ุŸ ู…ุซู„ ุงู„ู†ู‘ุงุฌูŠุŒ ูˆูŠู†
436
+
437
+ 110
438
+ 00:11:47,590 --> 00:11:54,950
439
+ ุงู„ูƒู‡ุฑุจุงุŒ ูˆูŠู†ุŸ ุญุฑุงุฑุชู‡ ููŠ ุงู„ุดุชุงุก ุฃูƒุซุฑ ู…ู† ู‡ูŠูƒ ู…ุง ููŠุŒ ู…ุง ุดุงุก ุงู„ู„ู‡ ูƒู„ู‡ุง ููŠ ุงู„ู…ูŠุฉ ุบุงุทุณุฉุŒ ุตุญุŸ ูˆุงู„ู„ูŠ ู…ุด ุบุงุทุณ ููŠ
440
+
441
+ 111
442
+ 00:11:54,950 --> 00:11:58,570
443
+ ุงู„ู…ูŠุฉุŒ ุงู„ู…ูŠุฉ ุบุงุทุณุฉ ุนู†ุฏู‡ุŒ ุชู‚ุฏุฑูˆุง ุชู‚ูˆู„ูˆุง: ูŠุงุจุณ ูˆู…ูŠุฉุŒ ุตุญ
444
+
445
+ 112
446
+ 00:11:58,570 --> 00:12:02,170
447
+ ูˆู„ุง ู„ุงุŸ ุฃู…ุง ูŠุงุจุณ ูˆู…ูŠุฉุŒ ูˆุงู„ู…ูŠุฉ ู‡ูŠุŸ ุฃู‡ุŒ ูˆุจูŠุฏูŠู‡ ุฃุญุณู†
448
+
449
+ 113
450
+ 00:12:02,170 --> 00:12:06,430
451
+ ู…ู† ู‡ูŠู‡ุŸ ู…ุทุฑุŒ ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุฌูŠ ููŠ ูุตู„ ุงู„ุดุชุงุก ุจุณุจุจ
452
+
453
+ 114
454
+ 00:12:06,430 --> 00:12:15,320
455
+ ุงู„ู…ู†ุฎูุถุงุช ุงู„ุฌูˆูŠุฉ ุงู„ุชูŠ ุชุนุจุฑ ุงู„ู‚ุงุฑุจ ุจูุฏุฃ ุงู„ู…ู†ุทู‚ุฉุŒ
456
+
457
+ 115
458
+ 00:12:15,320 --> 00:12:21,460
459
+ ู…ุง ููŠู‡ุง ู…ุทุฑ ุดุชุงุกุŒ ู‡ูŠ ู„ูˆู…ุจุงุฑุฏูŠุงุŒ ุงู„ู„ูŠ ุฐุงุช ุฅู‚ู„ูŠู… ู…ู†ุงุฎ
460
+
461
+ 116
462
+ 00:12:21,460 --> 00:12:29,260
463
+ ู…ุญู„ูŠุŒ ุฎู„ุตู†ุง ุฅู‚ู„ูŠู… ุบุฑุจ ุฃูˆุฑูˆุจุงุŒ ู†ูุณ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุฃู†ุง
464
+
465
+ 117
466
+ 00:12:29,260 --> 00:12:33,680
467
+ ุจุญูƒูŠู‡ุŒ ุฅู‚ู„ูŠู… ูˆุณุท ุฃูˆุฑูˆุจุงุŒ ุฅู‚ู„ูŠู… ู…ุนุชุฏู„ ุงู„ุจุฑุฏ ุดูˆูŠุฉุŒ
468
+
469
+ 118
470
+ 00:12:33,680 --> 00:12:39,700
471
+ ุฅู‚ู„ูŠู… ุดุฑู‚ ุฃูˆุฑูˆุจุงุŒ ู†ูุณ ุงู„ู†ู…ูˆุฐุฌ ููŠ ุงู„ุฅุฌุงุจุฉ ุนู† ุงู„ู…ุชูˆุณุท
472
+
473
+ 119
474
+ 00:12:39,700 --> 00:12:46,900
475
+ ุจุฏุง ู†ุณุชุฎุฏู…ู‡ ููŠ ุจุงู‚ูŠ ุงู„ุฃู‚ุงู„ูŠู…ุŒ
476
+
477
+ 120
478
+ 00:12:46,900 --> 00:12:50,160
479
+ ุฒูŠ ู…ุง ู‡ูˆ ููŠ ุงู„ูƒุชุงุจุŒ ุฃู†ุง ุฃุฑุฏ ูˆุฃู‚ูˆู„ ู„ูƒ ูŠุง ุฃุณุชุงุฐ ู‡ู†ุง
480
+
481
+ 121
482
+ 00:12:56,250 --> 00:12:59,050
483
+ ุฃู†ุง ู‡ุฐุง ููŠ ุงู„ูƒุชุงุจุŒ ู‡ุฃู‚ูˆู„ ู„ูƒ: ูŠุณุŒ ู‡ุฐู‡ ุงู„ุฃู‚ุงู„ูŠู…
484
+
485
+ 122
486
+ 00:12:59,050 --> 00:13:02,730
487
+ ุงู„ู…ู†ุงุฎูŠุฉุŒ ููŠ ุฃู‚ุงู„ูŠู… ุงุณู…ู‡ู… ุฃู‚ุงู„ูŠู… ุฌุจู„ูŠุฉุŒ ู…ุง ู„ู†ุงุด
488
+
489
+ 123
490
+ 00:13:02,730 --> 00:13:09,550
491
+ ุนู„ุงู‚ุฉ ููŠู‡ุงุŒ ุฎู„ูŠู†ุง ู†ุชุจุณุท ููŠ ุงู„ุนู„ู… ูˆู„ุง ู†ุนุณุฑู‡ุŒ ูŠุนู†ูŠุŒ
492
+
493
+ 124
494
+ 00:13:09,550 --> 00:13:14,910
495
+ ูŠุณุฑูˆุง ูˆู„ุง ุชุนุณุฑูˆุงุŒ ู…ุง ุจุฏู†ุง ุฅูŠุงู‡ุŒ
496
+
497
+ 125
498
+ 00:13:22,690 --> 00:13:27,230
499
+ ุฃู†ุง ุนู†ุฏูŠ ุณุชุฉ ุฃู‚ุงู„ูŠู… ู…ู†ุงุฎูŠุฉุŒ ุตุญุŸ ุณุชุฉ ุฃู‚ุงู„ูŠู… ู…ู†ุงุฎูŠุฉุŒ ุญุทูˆุง
500
+
501
+ 126
502
+ 00:13:27,230 --> 00:13:30,670
503
+ ุงู„ุณุชุฉ ุนู„ู‰ ุงู„ุฎุฑูŠุทุฉ ููŠ ู…ูˆู‚ุนู‡ู… ุงู„ุตุญูŠุญ ุฃูˆ ุงู„ุฃู‚ุฑุจ ู„ู„ุตุญูŠุญ
504
+
505
+ 127
506
+ 00:13:30,670 --> 00:13:37,190
507
+ ู‡ู†ู‚ูˆู„ ู„ูƒู…: ุจุงุตุŒ ุทุจุนุงู‹ุŒ ููŠ ุงู„ุดู…ุงู„ ุนู†ุฏูŠ ุฅูŠุดุŸ ุงู„ู…ุชุฌู…ุฏ
508
+
509
+ 128
510
+ 00:13:37,190 --> 00:13:42,650
511
+ ุงู„ุดู…ุงู„ูŠุŒ ุงู„ู„ูŠ ู‡ูˆ ุดูู†ุงู‡ ุฃู†ู‡ ุตูŠูู‡ ู‚ุตูŠุฑ ุฌุฏุงู‹ุŒ ุดู‡ุฑูŠู†ุŒ ุตุญ ูŠุง
512
+
513
+ 129
514
+ 00:13:42,650 --> 00:13:49,910
515
+ ุฏูŠู†ุงุŸ ุฃูˆูƒูŠุŒ ุถุงูŠุน ุงู„ุดูŠุกุŸ ุถุงูŠุน ุงู„ู†ุจุงุชุŒ ุดุบู„ุŸ
516
+
517
+ 130
518
+ 00:13:49,910 --> 00:13:51,890
519
+ ู…ุฑุฉ ูƒู…ุงู†
520
+
521
+ 131
522
+ 00:13:56,880 --> 00:14:06,320
523
+ ู…ุฑุฉ ูƒู…ุงู†ุŒ ู†ู†ุณุงู‡ุง ูƒู„ู‡ุงุŒ ู„ุฃุŒ ุฃุฎุจุทู†ุง ุงู„ุฏู†ูŠุงุŒ ู†ุนู…
524
+
525
+ 132
526
+ 00:14:06,320 --> 00:14:13,120
527
+ ู†ุนู…ุŒ ุฃู†ุชู… ุจุญุซ ุขุฎุฑ ุงู„ุฎุฑูŠุทุฉุŒ ู‡ุงูŠ ุฅุณุจุงู†ูŠุงุŒ ู‡ุงูŠ ุฅูŠุทุงู„ูŠุง
528
+
529
+ 133
530
+ 00:14:14,040 --> 00:14:20,960
531
+ ู‡ุฐู‡ ุงู„ูŠูˆู†ุงู†ุŒ ู‡ุฐู‡ ุงู„ุจุณููˆุฑุŒ ู…ุฑู…ุฑุฉุŒ ุฏุฑุฏู†ูŠู„ุŒ ู‚ุฑู…ุŒ ุฅูŠุฒูˆู
532
+
533
+ 134
534
+ 00:14:20,960 --> 00:14:27,340
535
+ ุงู„ุฃุณูˆุฏุŒ ุณูˆุงุก ุงู„ู„ู‡ ุญูŠุงุฉ ุงู„ุฃุนุฏุงุกุŒ ุจุณูƒุงูŠุŒ ูˆุตูŠู†ุง ู„ู„ุฏู†ู…ุงุฑูƒ
536
+
537
+ 135
538
+ 00:14:27,340 --> 00:14:33,620
539
+ ู†ูŠุงู„ู‡ุง ุงู„ุฏู†ู…ุงุฑูƒุŒ ู‡ุฐู‡ ุฅูŠุดุŒ ุฎู„ุตู†ุงุŒ ู…ุงุดูŠุŸ ู‡ุฐุง ุฃูˆู„ ุดูŠุก
540
+
541
+ 136
542
+ 00:14:33,620 --> 00:14:40,480
543
+ ุงู„ู…ุชูˆุณุทุŒ ู‡ุฐุง ู‡ูˆุŒ ุฃู†ุง ุฃู…ุงู… ู‚ู„ู… ุฑุตุงุต ู…ุง ููŠู‡ ุฃู„ูˆุงู† ู„ูƒู†
544
+
545
+ 137
546
+ 00:14:40,480 --> 00:14:46,070
547
+ ุจู‚ู„ู… ุงู„ุฑุตุงุต ุฃุณุชุทูŠุน ุฃู† ุฃู„ูˆู† ููŠู‡ุŒ ุฅูŠุดุŒ ุฎู„ุงุตุŒ ุทูŠุจุŒ ุบุฑุจ
548
+
549
+ 138
550
+ 00:14:46,070 --> 00:14:53,590
551
+ ุฃูˆุฑูˆุจุงุŒ ุจุญุท ุนู„ูŠู‡ ุฒุงุฆุฏุŒ ูˆุฃู†ุง ู…ุณุชุญูŠู„ ู…ุน ุจุฑูŠุทุงู†ูŠุงุŒ ู…ุงุดูŠุŒ
552
+
553
+ 139
554
+ 00:14:53,590 --> 00:15:01,330
555
+ ู‡ุงูŠ ุบุฑุจ ุฃูˆุฑูˆุจุงุŒ ู‡ุฐุง ุนู†ุฏูŠ ูˆุณุท ุฃูˆุฑูˆุจุงุŒ ูˆุนู†ุฏูŠ ุงู„ุจุงุฑุฏ ููŠ
556
+
557
+ 140
558
+ 00:15:01,330 --> 00:15:11,570
559
+ ุฃูˆุฑูˆุจุงุŒ ูˆู‡ุงูŠ ุดุฑู‚ ุฃูˆุฑูˆุจุงุŒ ูˆู‡ุงูŠ ุงู„ู…ุชุฌู…ุฏ ุงู„ุดู…ุงู„ูŠุŒ ู‡ูŠ
560
+
561
+ 141
562
+ 00:15:11,570 --> 00:15:18,220
563
+ ุชู†ุฏุฑุงุŒ ู‡ูˆ ุงู„ู…ุชุฌู…ุฏุŒ ุงู„ู…ุชุฌู…ุฏ ู‡ูˆ ุงู„ุชู†ุฏุฑุงุŒ ุจุณ ุชู†ุฏุฑุง
564
+
565
+ 142
566
+ 00:15:18,220 --> 00:15:24,940
567
+ ู†ุจุงุชูŠุŒ ุชู†ุฏุฑุง ู†ุจุงุชูŠุŒ ุชู†ุฏุฑุง ู†ุจุงุชูŠุŒ ูู‡ู…ุชูˆุงุŸ ุตุนุจุฉ ู‡ุฐู‡
568
+
569
+ 143
570
+ 00:15:24,940 --> 00:15:29,360
571
+ ุงู„ู‚ุงุฑุฉุŸ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉ ุฃู‚ุงู„ูŠู…
572
+
573
+ 144
574
+ 00:15:29,360 --> 00:15:34,500
575
+ ู…ู†ุงุฎูŠุฉ ู…ุนูŠู†ุฉุŒ ุณุชุฉ ุฃู‚ุงู„ูŠู… ู…ู†ุงุฎูŠุฉ ู…ุนูŠู†ุฉ ููŠ ุงู„ูƒุชุงุจุŒ
576
+
577
+ 145
578
+ 00:15:34,500 --> 00:15:41,150
579
+ ุตุนุจุฉุŸ ู„ุฃุŒ ู‚ูŠู…ุฉ .. ุฅูŠู‡ ุงู„ู…ูˆุถูˆุนุŸ ุญุทู‡ ุฅูŠุดุŸ ู†ุจุงุชุŒ ุญุทู‡
580
+
581
+ 146
582
+ 00:15:41,150 --> 00:15:48,690
583
+ ู†ุจุงุชุŒ ุทุจ ุฃุฌูŠ ุฃู‚ูˆู„: ู‡ุงูŠ ู‡ุฐุง ุจุญุฑ ู…ุชูˆุณุทุŒ ุขู‡ุŒ ุฃู†ุง ุฃู…ุงู…
584
+
585
+ 147
586
+ 00:15:48,690 --> 00:15:55,210
587
+ ุญุงุฌุชูŠู†: ุบุงุจุงุช ู…ุชูˆุณุทูŠุฉุŒ ูˆุนู†ุฏ ุณุชุจุณุŒ ูˆู„ุง ู„ุฃุŸ ู…ุชู‰
588
+
589
+ 148
590
+ 00:15:55,210 --> 00:16:00,750
591
+ ูŠู†ู…ูˆ ุงู„ุณุชุจุณุŸ ุนู†ุฏู…ุง ู„ุง ุชุณู…ุญ ูƒู…ูŠุฉ ุงู„ุฃู…ุทุงุฑุŒ ุจูŠู†ู…ุง ู‡ูˆ
592
+
593
+ 149
594
+ 00:16:00,750 --> 00:16:07,640
595
+ ุงู„ุบุงุจุงุชุŒ ุตุญุŸ ุฒูŠ ู…ุง ุดูู†ุง ููŠ ุขุณูŠุงุŒ ููŠ ุงู„ุณุงูุงู†ุงุŒ ููŠ ุณุงูุงู†ุง
596
+
597
+ 150
598
+ 00:16:07,640 --> 00:16:11,420
599
+ ุทูˆูŠู„ุฉุŒ ู„ุฃู† ูƒู…ูŠุฉ ุงู„ุฃู…ุทุงุฑ ุดูˆูŠุฉ ุบุฒูŠุฑุฉุŒ ููŠ ุณุงูุงู†ุง ู‚ุตูŠุฑุฉ
600
+
601
+ 151
602
+ 00:16:11,420 --> 00:16:17,400
603
+ ู‚ู„ุช ุงู„ุฃู…ุทุงุฑุŒ ูุตุบุฑุช ุงู„ุณุงูุงู†ุงุŒ ุนู†ุฏ ุฃู…ุทุงุฑ ุฎู„ุตุช ุงู„ุณุงูุงู†ุง
604
+
605
+ 152
606
+ 00:16:17,400 --> 00:16:23,940
607
+ ู‚ุตูŠุฑุฉุŒ ู†ูŠุฌูŠ ู„ู„ุตุญุฑุงุกุŒ ูˆู„ุง ู…ุด ุตุญูŠุญุŸ ุงู„ุงู…ุชุญุงู† ุฃู†ุง ุจุฏูŠ
608
+
609
+ 153
610
+ 00:16:23,940 --> 00:16:30,000
611
+ ุฃุทู…ุฆู†ูƒู…: ุณู‡ู„ุŒ ู…ุง ุชุชุฑุจูƒูˆุงุŒ ู…ุง ุชุชุฑุจูƒูˆุงุŒ ุฃู†ุง ุนุงุฑู ุฃู† ุงู„ู…ุงุฏุฉ
612
+
613
+ 154
614
+ 00:16:30,000 --> 00:16:36,740
615
+ ุตุนุจุฉุŒ ูˆุณูŠูƒูˆู† ู‡ู†ุงูƒ ู…ูุงุฌุฃุฉ ููŠ ุงู„ุงู…ุชุญุงู†ุŒ ูŠู„ุง
616
+
617
+ 155
618
+ 00:16:36,740 --> 00:16:41,960
619
+ ู„ู„ุงุทู…ุฆู†ุงู†ุŒ ู…ูุงุฌุฃุฉุŸ
620
+
621
+ 156
622
+ 00:16:41,960 --> 00:16:45,140
623
+ ุฅู„ู‡ูŠ
624
+
625
+ 157
626
+ 00:16:45,140 --> 00:16:48,160
627
+ ู„ุง ูŠู‡ุฏูŠ ู„ูƒ ุฅู„ุง ุงู„ูุงู„ุŒ ุทุจุนุงู‹ ู„ุงุŒ ูˆุฅูŠุด ูุงุฆุฏุฉ
628
+
629
+ 158
630
+ 00:16:48,160 --> 00:16:53,320
631
+ ุงู„ุงู…ุชุญุงู†ุŸ ุฎุทุงูŠุงุŸ ู„ุง ู„ุง ู„ุงุŒ ุจุณ ูŠุนู†ูŠ ุฅู† ุดุงุก ุงู„ู„ู‡
632
+
633
+ 159
634
+ 00:16:53,320 --> 00:16:56,120
635
+ ุณู†ุฑุฌุน ุฏูˆู† .. ูˆุงู„ู„ู‡ ุงู„ุนุธูŠู… ูƒู†ุง ููŠ ุงู„ุงู…ุชุญุงู† ูˆุงุญู†ุง
636
+
637
+ 160
638
+ 00:16:56,120 --> 00:17:00,990
639
+ ููŠ ู…ุตุฑุŒ ุณุฌู‘ู„ ุณุงุนุชูŠู† ุจุณุŒ ุฅูŠุฏูŠู†ุง ุชุนุจุงู†ู‡ุŒ ูŠุฑูˆุญู†ุง ู†ูƒุชุจุŒ ู„ุฃู†ู‡
640
+
641
+ 161
642
+ 00:17:00,990 --> 00:17:04,910
643
+ ู‡ู†ุงูƒ ูŠุนุชู…ุฏูˆุง ุนู„ู‰ ุงู„ุญูุธุŒ ุงู„ูุตู„ ูŠุญุทูˆุง ุนู†ูˆุงู† ุณุคุงู„ุŒ ุฏุฑุณุช ุงู„ุฃู‚ุงู„ูŠู… ุงู„ู…ู†ุงุฎูŠุฉ ุฃูˆ ุงู„ู…ู†ุงุฎ ููŠ ู‚ุงุฑุฉ
644
+
645
+ 162
646
+ 00:17:04,910 --> 00:17:08,890
647
+ ุฃูˆุฑูˆุจุงุŒ ุงูƒุชุจ ุฐู„ูƒ ุฃูˆ ุงุดุฑุญ ุฐู„ูƒุŒ ุชู„ุงู‚ูŠู†ุง ุจุนุฏ ู…ุฏุฉ ู†ุนู…ู„
648
+
649
+ 163
650
+ 00:17:08,890 --> 00:17:12,910
651
+ ุฅูŠุฏูŠู†ุง ุฅ
652
+
653
+ 223
654
+ 00:23:31,820 --> 00:23:34,620
655
+ ุงู„โ€ฆ
656
+
657
+ 224
658
+ 00:23:38,850 --> 00:23:42,630
659
+ ููŠโ€ฆ ููŠ ุจุนุถ ุงู„ุทู„ุงุจ ุงู„ู„ูŠ ูƒุงู†ูˆุง ูŠุฏุฎู„ูˆุง ุงู„โ€ฆ
660
+
661
+ 225
662
+ 00:23:42,630 --> 00:23:49,470
663
+ ุงู„ุงู…ุชุญุงู† ุงู„ุดููˆูŠ ู„ู„โ€ฆ ููŠ ู…ุตุฑุŒ ุนุงุฑููŠู† ุฃู† ุงู„ู…ุฏุฑุณ
664
+
665
+ 226
666
+ 00:23:49,470 --> 00:23:54,470
667
+ ูƒุงู† ูŠุญูุธ ุงู„ุฃุณุฆู„ุฉ ูŠุง ูƒุงุชุจู‡ุง ู‚ุฏุงู…ู‡ ูŠุง ุญุงุทุทู‡ุง ููŠ ู…ุฎู‡
668
+
669
+ 227
670
+ 00:23:54,470 --> 00:23:59,890
671
+ ุงู„ู…ุฏุฑุณ ูŠู‚ูˆู„ ู„ู‡ ูŠุฎุชุจุฑ ุงู„ุทุงู„ุจ ููŠ ุฅูŠุดุŸ ุนุงูŠุฒ ุฃุณุฃู„ูƒโ€ฆ
672
+
673
+ 228
674
+ 00:23:59,890 --> 00:24:03,110
675
+ ููŠู‚ูˆู„ ู„ู‡ ููŠ ูƒู„ ุดูŠุกุŒ ุฃู†ุง ู…ู† ุงู„ุฌู„ุฏุฉ ู„ู„ุฌู„ุฏุฉุŒ ุญุงูุธุŒ
676
+
677
+ 229
678
+ 00:24:03,110 --> 00:24:06,690
679
+ ู…ุง ุฃุนุฑู ุฃู† ุงู„ู…ุฏุฑุณ ุณูŠุทุฑุญ ุดูˆูŠุฉ ุฃุณุฆู„ุฉุŒ ูˆุงู„ู„ูŠ ุจุฑุฌุน ุงู„ู„ูŠ
680
+
681
+ 230
682
+ 00:24:06,690 --> 00:24:10,650
683
+ ุจูŠู‚ูˆู„ ุฅูŠู‡ ุณุฃู„ูƒุŸ ุฅูŠู‡ ุณุฃู„ูƒุŸ ุตุญุŸ ู„ูƒู† ุงู„ุทุงู„ุจ ุงู„ู„ูŠ ุฌุงุฑูŠ
684
+
685
+ 231
686
+ 00:24:10,650 --> 00:24:14,190
687
+ ุจุงู„ุญุฑูุŒ ูˆุฌุงุฑูŠ ุจุงู„ูƒู„ู…ุฉุŒ ูˆุฌุงุฑูŠ ุจุงู„ุณุทุฑุŒ ูˆุฌุงุฑูŠ
688
+
689
+ 232
690
+ 00:24:14,190 --> 00:24:20,370
691
+ ุจุงู„ู…ูˆุถูˆุนุŒ ุจู‡ู…ุด ูŠุง ูŠุงุณูŠุจุŒ ุจูŠุฌุงูˆุจโ€ฆ ุจูŠุฌุงูˆุจ ู‚ู„ุช ู„ูƒู… ุฃู†ุง
692
+
693
+ 233
694
+ 00:24:20,370 --> 00:24:26,150
695
+ ุงู…ุชุญุงู†ุงุชูŠ ูˆูƒุชุงุจูŠ ูˆุดุฑุญูŠ ูŠุฎุชู„ู ุนู† ุฌู…ูŠุน ุงู„ู…ุฏุฑุณูŠู†ุŒ ูˆ
696
+
697
+ 234
698
+ 00:24:26,150 --> 00:24:30,190
699
+ ุฃู†ุชู… ุชู„ุงุญุธูˆู† ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ ุฃู†ุง ู„ุง ุฃูƒุชุจ ูˆุชู†ูƒุณุฑ
700
+
701
+ 235
702
+ 00:24:30,190 --> 00:24:35,210
703
+ ุฃูŠุฏูŠูƒู…ุŒ ูˆู†ูƒุชุจ ูˆู„ุงุดูŠุกุŒ ููŠู‡ ูƒู„ ุดูŠุก ู…ูู‚ู†ู‘ู† ูŠุฏู„ ุนู„ู‰ ู…ุฏู‰
704
+
705
+ 236
706
+ 00:24:35,210 --> 00:24:39,870
707
+ ูู‡ูŽู…ูŠ ูˆุงุณุชูŠุนุงุจูŠุŒ ุฅุฐุง ุฌูŽุฑู‘ูŠุช ุจุฏูŠ ุฃูู‡ู… ูˆุฅุฐุง ุงุณุชู…ุนุช
708
+
709
+ 237
710
+ 00:24:39,870 --> 00:24:40,450
711
+ ูู‡ู…ุช
712
+
713
+ 238
714
+ 00:24:56,900 --> 00:25:01,060
715
+ ู…ูŠุฒุฉ ู‚ู„ุช ู„ู‡ุง ู‡ุชูู„ุบู‰
716
+
717
+ 239
718
+ 00:25:09,750 --> 00:25:16,450
719
+ ูŠุง ู…ุณุงูƒูŠู†ุŒ ูุนู„ุงู‹ ุฃู†ุชู… ุชูุฎุทููˆู† ุงู„ู‚ู„ุจุŒ
720
+
721
+ 240
722
+ 00:25:16,450 --> 00:25:19,390
723
+ ู…ุง ุฃุญู†ุง ู„ู„ุฃุณู ุงู„ุดุฏูŠุฏุŒ ุฅุฐุง ู†ุญู† ุจุฏู†ุง ูŠุง ุจู†ุงุช ู†ุชุนู„ู…
724
+
725
+ 241
726
+ 00:25:19,390 --> 00:25:24,310
727
+ ู…ู† ุฃุฌู„ ุงู„ุงู…ุชุญุงู† ูุนู„ูŠู†ุง ุงู„ุณู„ุงู…ุŒ ูŠุนู†ูŠ ูŠุฌุจ ุฃู† ู†ุชุนู„ู…
728
+
729
+ 242
730
+ 00:25:24,310 --> 00:25:28,010
731
+ ู…ู† ุฃุฌู„ ุงู„ุชุนู„ู…ุŒ ูŠุนู†ูŠ ุฃู†ุชู… ููŠ ู…ุฑุญู„ุฉ ุจู†ุงุก
732
+
733
+ 243
734
+ 00:25:28,010 --> 00:25:29,230
735
+ ู…ุนุฑูุฉุŒ ุชูุถู„ูŠ
736
+
737
+ 244
738
+ 00:25:45,050 --> 00:25:51,570
739
+ ู…ุง ู…ุฏุฑุณ ุฏุฑุณู†ุง ุฅูŠุงู‡ุงุŒ ูˆุฃู†ุง ุดุงูŠู ุฌู…ูŠุน ุงู„ู…ุฏุฑุณูŠู† ูŠู†ุทูˆู†
740
+
741
+ 245
742
+ 00:25:51,570 --> 00:25:57,070
743
+ ุนู†ู‡ุง ู„ุฃู†ู‡ุง ู…ุนู‚ุฏุฉ ูˆุตุนุจุฉุŒ ู…ุนู‚ุฏุฉ ุฃู†ุง ุนุงุฑู ุฃู†ู‡ุง ูƒุงู†ุช ุจุณ
744
+
745
+ 246
746
+ 00:25:57,070 --> 00:26:04,990
747
+ ุฃู†ุง ู„ู…ุง ุดุฑุญุชู‡ุงโ€ฆ ุฃู†ุง ู„ู…ุง ุดุฑุญุชู‡ุง ุถู…ู†โ€ฆ ุถู…ู† ุงู„ุฏูƒุชูˆุฑ ุฑุญู…ุฉ
748
+
749
+ 247
750
+ 00:26:04,990 --> 00:26:09,290
751
+ ุงู„ู„ู‡ ุนู„ูŠู‡ ู‚ุงู„ ู„ู†ุง: ูƒู„ ู…ุฏุฑุณ ุจูŠู‚ูˆู„ ู‡ุฐุง ู…ุด ู…ุทู„ูˆุจุŒ ุจูŠู‚ูˆู„
752
+
753
+ 248
754
+ 00:26:09,290 --> 00:26:18,670
755
+ ู…ุด ุนุงุฑู ูŠุดุฑุญู‡ุŒ ูƒู„ ู…ุฏุฑุณ ุฃู†ุง ุนุงุฑู ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ ู„ูƒู†
756
+
757
+ 249
758
+ 00:26:18,670 --> 00:26:24,150
759
+ ุงู„ุจู†ูŠุฉ ุงู„ุฌูŠูˆู„ูˆุฌูŠุฉ ู…ุซู„ุงู‹ุŒ ุฃูŠ ูƒู„ุงู… ุจุฏู‡ ุงุญูƒูŠู‡ ุจุฏู‡ ูŠุญู„
760
+
761
+ 250
762
+ 00:26:24,150 --> 00:26:25,090
763
+ ุณุคุงู„ ููŠ ุงู„ุงู…ุชุญุงู†
764
+
765
+ 251
766
+ 00:26:30,480 --> 00:26:34,320
767
+ ู„ุง ูŠุง ุณูŠุฏุชูŠุŒ ุฌุงูŠ ูˆู…ุด ุฌุงูŠุŒ ู‡ุฐู‡ ู‚ุถูŠุฉ ุจุชุดูˆูู‡ุง ููŠ
768
+
769
+ 252
770
+ 00:26:34,320 --> 00:26:44,500
771
+ ุงู„ุงู…ุชุญุงู†ุŒ maybe ุงุฑุณู…ูŠ
772
+
773
+ 253
774
+ 00:26:44,500 --> 00:26:49,140
775
+ ุฎุฑูŠุทุฉ ุฃูˆุฑูˆุจุง ุงู„ุชุฏุฑูŠุณูŠุฉ ุซู… ุชุญุฏุซูŠ ุนู† ู…ุซู„ุงู‹ ุฌุจุงู„ ุงู„ู‚ู„ุจ
776
+
777
+ 254
778
+ 00:26:49,140 --> 00:26:54,300
779
+ ุฃูˆ ุงู„ู†ุชุงุฆุฌ ุงู„ู…ุชุฑุชุจุฉ ุนู„ู‰ ุงู…ุชุฏุงุฏ ุฌุจุงู„ ุงู„ู‚ู„ุจ ู…ู† ูƒุฐุง
780
+
781
+ 255
782
+ 00:26:54,300 --> 00:26:56,240
783
+ ู„ูƒุฐุงุŒ ุตุนุจุฉุŸ
784
+
785
+ 256
786
+ 00:27:09,940 --> 00:27:14,980
787
+ ุนุดุงู† ู…ุง ุชู‚ูˆู„ูˆู†ูŠุด ุจุฏู†ุง ุฒู…ู† ุฅุถุงููŠุŒ ูŠุนู†ูŠ ุฃู†ุง ุจุฏูŠ
788
+
789
+ 257
790
+ 00:27:14,980 --> 00:27:20,340
791
+ ุฃู‚ูˆู„ ู„ูƒู… ู‚ุงุนุฏุฉุŒ ุจุฑุถู‡ ุงู„ู…ุนู„ู… ูŠุถุน ุงู„ุงู…ุชุญุงู† ูˆูŠุถุน ููŠ
792
+
793
+ 258
794
+ 00:27:20,340 --> 00:27:24,680
795
+ ุงุนุชุจุงุฑู‡ ุฃู† ุงู„ุทู„ุงุจ ูŠุญู„ูˆู‡ ุนุดุงู† ูŠุญุท ุฏุฑุฌุงุชุŒ ู„ุฃู†ู‡ ู…ุด
796
+
797
+ 259
798
+ 00:27:24,680 --> 00:27:30,380
799
+ ู‚ุงุตุฏ ูŠุณู‚ุทุŒ ุฅุฐุง ู‚ุงุตุฏ ุงู„ู…ุฏุฑุณ ูŠูุฑูŽุณูู‘ุจุŒ ู…ุนู†ุงู‡ ู…ุด ู…ุนู„ู…
800
+
801
+ 260
802
+ 00:27:31,890 --> 00:27:36,410
803
+ ุงู„ู…ุนู„ู…ุŒ ู…ุนู†ุงู‡ ุฃู†ู‡ ูŠุนุทูŠ ุนู„ู…ุŒ ู„ูƒู† ุงู„ู…ุนู†ูู‘ู ู‡ูˆ ุงู„ู„ูŠ ุจุฏูŠ
804
+
805
+ 261
806
+ 00:27:36,410 --> 00:27:41,250
807
+ ุฃุฑุณู…ุŒ ุฃุถุบุท ุงู„ู„ู‡ ุฃู† ุฃู†ุง ุฃูƒูˆู† ู…ุนู„ู…ุงู‹ ู„ุง ู…ุนู†ูุงู‹ุŒ ุถูŠุนุช
808
+
809
+ 262
810
+ 00:27:41,250 --> 00:27:44,550
811
+ ุงู„ู…ุญุงุถุฑุฉุŒ ุฃู†ุง ู‚ุจู„ู‡ุงุŒ ุฃุถุบุทูŠ ุงู„ู…ุญุงุถุฑุฉ ุนู„ู‰ ุงู„ู‡ูˆุงุก ู…ุจุงุดุฑุฉ
812
+
813
+ 263
814
+ 00:27:44,550 --> 00:27:51,610
815
+ ู„ู…ุฑุงุฌุนุฉ ุงู„ุงู…ุชุญุงู†ุงุชุŒ ุฎุฐูŠ ุงุฑุฌุนูŠ ู„ุจุงุณุฉ ููŠ ุฐู„ูƒ ุฃู†ุง
816
+
817
+ 264
818
+ 00:27:51,610 --> 00:27:54,850
819
+ ุฃุญูƒูŠู„ูƒู…
820
+
821
+ 265
822
+ 00:27:54,850 --> 00:28:02,210
823
+ ุฃุณุฆู„ุฉ ุฃูƒุซุฑ ู…ู† ู‡ุฐู‡ ุงู„ุฃุณุฆู„ุฉ ู‚ุฏุงู… ุนูŠู†ูŠูƒู…ุŒ ูŠุนู†ูŠ ุฃู†ุง ุจุฏุฃุช
824
+
825
+ 266
826
+ 00:28:02,210 --> 00:28:05,370
827
+ ุฃู‚ูˆู„ ู„ูƒู… ู…ุนู„ูˆู…ุฉโ€ฆ ู…ุนู„ูˆู…ุฉ ุตุบูŠุฑุฉุŒ ู…ุฑุฉ ุฃุณุชุงุฐ ู„ุบุฉ ุนุฑุจูŠุฉ
828
+
829
+ 267
830
+ 00:28:05,370 --> 00:28:10,330
831
+ ุฎุจุฑุฉุŒ ุฌุงุจ ุฃุณุฆู„ุฉ ู„ุทู„ุงุจ ุงู„ุนุงุดุฑุŒ ุฌุงุจู‡ุง ุฃุณุฆู„ุฉ ุตุนุจุฉุŒ
832
+
833
+ 268
834
+ 00:28:10,330 --> 00:28:14,810
835
+ ุฃุณุฆู„ุฉ ุตุนุจุฉุŒ ู…ู† ุงู„ู„ูŠ ุฃุฌุงุจ ุนู„ู‰ ุงู„ุฃุณุฆู„ุฉุŸ ุงู„ุทู„ุงุจ
836
+
837
+ 269
838
+ 00:28:14,810 --> 00:28:18,210
839
+ ุงู„ู…ู…ุชุงุฒูŠู†ุŒ ุงู„ุฎู…ุณุฉ ุฃูˆ ุงู„ุณุชุฉ ุงู„ู„ูŠ ุจูŠุชู†ุงูุณูˆุง ุนู„ู‰ ุงู„ุฏุฑุฌุฉุŒ
840
+
841
+ 270
842
+ 00:28:18,210 --> 00:28:22,050
843
+ ุจูŠุชู†ุงูุณูˆุง ุนู„ู‰ ุงู„ุฏุฑุฌุฉุŒ ู‚ุงู„ ูŠุง ุฃุณุชุงุฐ ุบูŠุฑู‡ู…ุŒ ุทุจุนุงู‹
844
+
845
+ 271
846
+ 00:28:22,050 --> 00:28:25,810
847
+ ุงู„ุณุงู‚ุทูŠู† ูƒู„ู‡ู… ู‚ุงู„ูˆุง ุฅูŠุดุŸ ุฎู„ูŠู‡ ุฒูŠ ู…ุง ู‡ูˆุŒ ุฎู„ูŠู‡ ุฒูŠ ู…ุง
848
+
849
+ 272
850
+ 00:28:25,810 --> 00:28:31,290
851
+ ู‡ูˆุŒ ุนุดุงู† ุฃุฏูŠูƒู… ุฃุณุฆู„ุฉุŒ ูŠุนู†ูŠ ูŠูุชุฑุถ ุฃู†ู†ุง ู…ุง ู†ูุนุทููŠ
852
+
853
+ 273
854
+ 00:28:31,290 --> 00:28:35,350
855
+ ุฃุณุฆู„ุฉ ููŠ ุงู„ุฌุงู…ุนุฉุŒ ูŠูุชุฑุถ ู…ุง ู†ูุนุทููŠ ุฃุณุฆู„ุฉ ููŠ ุงู„ุฌุงู…ุนุฉ
856
+
857
+ 274
858
+ 00:28:35,350 --> 00:28:40,470
859
+ ู„ุฃู†ู‡ ุฅุฐุง ุฃู†ุชู… ูƒู†ุชู… ุชุนุชู…ุฏูˆุง ุนู„ู‰ ุงู„ูƒุงุจุณูˆู„ุงุช ุงู„ู„ูŠ
860
+
861
+ 275
862
+ 00:28:40,470 --> 00:28:44,850
863
+ ูƒู†ุชู… ุชุฃุฎุฐูˆู‡ุง ููŠ ุงู„ุซุงู†ูˆูŠุฉ ุงู„ุนุงู…ุฉุŒ ุชุจู‚ู‰ ุงู„ุฌุงู…ุนุฉ ูู‚ุฏุช
864
+
865
+ 276
866
+ 00:28:44,850 --> 00:28:50,070
867
+ ุฑุณุงู„ุชู‡ุงุŒ ุจู†ุงุชุŒ ุญุฑุงู… ุนู„ูŠูƒู…
868
+
869
+ 277
870
+ 00:28:50,070 --> 00:29:02,630
871
+ ุตุญูŠุญุŒ ุตุญูŠุญุŒ ุตุญูŠุญุŒ ู„ู…ุง ุฃุฑุณู„ุช ุงู„ูƒุชุงุจ ู„ู„ุชู‚ูŠูŠู…โ€ฆ ู„ู„ุชู‚ูŠูŠู… ู…ู†
872
+
873
+ 278
874
+ 00:29:02,630 --> 00:29:09,410
875
+ ุงู„ู…ู‚ูŠู…ูŠู†ุŒ ู‚ุงู„ูˆุง: ู‚ู„ู…ุง ู†ุฌุฏ ุฌู‡ุฏุงู‹ ููŠ ุงู„ุฅู‚ู„ูŠู…ูŠุงุช ูƒู‡ุฐุง
876
+
877
+ 279
878
+ 00:29:09,410 --> 00:29:18,590
879
+ ุงู„ุฌู‡ุฏุŒ ุจุญูŠุซ ุฃู† ู‡ุฐุง ุงู„ุฌู‡ุฏ
880
+
881
+ 280
882
+ 00:29:18,590 --> 00:29:25,180
883
+ ูŠูุณุชุทุงุน ุงู„ุซู†ุงุก ุนู„ูŠู‡ุŒ ูˆูŠูƒููŠ ุฃู† ูˆุงุญุฏ ุจูุฑุณูู„ ููŠ ุงู„ุชู‚ูŠูŠู…
884
+
885
+ 281
886
+ 00:29:25,180 --> 00:29:30,680
887
+ ุฃู†ู‡ ู‚ุงู„: ู„ู…ุง ู†ุฌุฏ ุฌู‡ุฏุงู‹โ€ฆ ุฃู†ุช ุจุชุฑูˆุญ ุงู„ู…ูƒุชุจุงุชุŒ ุงู„ูƒุชุจ ุงู„ู„ูŠ
888
+
889
+ 282
890
+ 00:29:30,680 --> 00:29:34,800
891
+ ุจุชุณู…ูŠู‡ุง ู…ุฑุงุฌุนุŒ ุจุชุณู…ูŠู‡ุง ู…ูุตู’ุฏูŽุฑูŽุงุช ุฃุญูŠุงู†ุงู‹ุŒ ุจุชู‚ูˆู„ ุทุจ ู„ูŠุด ู‡ุฐุง
892
+
893
+ 283
894
+ 00:29:34,800 --> 00:29:39,840
895
+ ุญุงุทุทู‡ุง ููŠ ุงู„โ€ฆ ููŠ ุงู„ูƒุชุงุจุŸ ูˆุจุนุฏูŠู† ู„ูˆ ู„ุบูŠู†ุง ุฃุณุทุฑุŒ ูˆู…ูˆุงุถูŠุนุŒ ูˆู„ุง ุจุชู†ู‚ุต ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ู„ูŠ ููŠ ู…ุฎูŠุŒ ุดูŠุก ุตุญ ูˆู„ุง
896
+
897
+ 284
898
+ 00:29:39,840 --> 00:29:43,080
899
+ ู„ุงุŸ ุฎู„ุตู†ุงุŸ
900
+
901
+ 285
902
+ 00:29:43,080 --> 00:29:47,000
903
+ ู„ุงุŸ ุฎู„ุตู†ุงุŸ
904
+
905
+ 286
906
+ 00:29:48,780 --> 00:29:53,040
907
+ ุฃูŠุถุงู‹ ุฃุทู…ุฆู†ู‘ูƒู…ุŒ ุฃูŠุถุงู‹ ุฃุทู…ุฆู†ู‘ูƒู…ุŒ ุฃูŠุถุงู‹ ุฃุทู…ุฆู†ู‘ูƒู…ุŒ ุฃูŠุถุงู‹ ุฃุทู…ุฆู†ู‘ูƒู…
908
+
909
+ 287
910
+ 00:29:53,040 --> 00:29:58,240
911
+ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู†
912
+
913
+ 288
914
+ 00:29:58,240 --> 00:30:07,800
915
+ ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉุŒ ุฃุชู„ูˆู‘ู† ุงู„ุฎุฑูŠุทุฉ
916
+
917
+ 289
918
+ 00:30:07,800 --> 00:30:11,980
919
+ ุฃุชู„ูˆู‘ู†
920
+
921
+ 290
922
+ 00:30:11,980 --> 00:30:18,380
923
+ ุงู„ุฎุฑูŠุทุฉ
924
+
925
+ 291
926
+ 00:30:18,740 --> 00:30:22,420
927
+ ุฃุฌูŠุชุŒ ู„ูˆ ุฃู†ุง ุฑุณู…ุช ุดุฎุตูŠุฉุŒ ูƒู†ุช ุฃู†ุง ุจุดูˆู ุจุนุถ ุงู„ุฑุณุงู…ูŠู†
928
+
929
+ 292
930
+ 00:30:22,420 --> 00:30:27,620
931
+ ุจุฑุณู… ุงู„ุดุฎุตูŠุฉ ุจุงู„ุฑุตุงุต ุฃุฌู…ู„ ู…ู† ุงู„ุฃู„ูˆุงู†ุŒ ุจุงู„ุฑุตุงุต ุฃุฌู…ู„
932
+
933
+ 293
934
+ 00:30:27,620 --> 00:30:33,160
935
+ ู…ู† ุงู„ุฃู„ูˆุงู†ุŒ ู†ุนู…ุŒ ุฃู†ุง ู„ู…ุง ูƒู†ุช ุฃุฑุณู…ุŒ ู‚ุงู„ ู„ูŠ: ุฃุญุท ูˆุงุญุฏ
936
+
937
+ 294
938
+ 00:30:33,160 --> 00:30:37,100
939
+ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุญุณุจ ุงู„ู…ูุชุงุญุŒ ุงู„ุฎุฑูŠุทุฉุŒ ุฃุญุท ูˆุงุญุฏ ูˆุงุซู†ูŠู†ุŒ ูˆ
940
+
941
+ 295
942
+ 00:30:37,100 --> 00:30:40,660
943
+ ุซู„ุงุซุฉุŒ ูˆุฃุฑุจุนุฉุŒ ูˆุฎู…ุณุฉุŒ ูˆุณุชุฉ ุนู„ู‰ ุงู„ุฎุฑูŠุทุฉุŒ ูู‡ูŠูƒ ุชุทู„ุน
944
+
945
+ 296
946
+ 00:30:40,660 --> 00:30:45,500
947
+ ุฅูŠุดุŸ ู‚ุงู„ ู„ูŠ ู…ูุตู„ุฉุŒ ู‡ุงู‡ุŸ ู‡ูŠูƒ ูƒุฃู†ู‡ ู„ูˆโ€ฆ yes ุญุงุถุฑ
948
+
949
+ 297
950
+ 00:30:52,400 --> 00:31:05,940
951
+ ู…ุธุจูˆุทุŒ ูƒู„ุงู… ุณู„ูŠู…ุŒ ุฎู„ุตุชู‡ุŒ ู…ุง ุฃุนุฑู
952
+
953
+ 298
954
+ 00:31:05,940 --> 00:31:13,140
955
+ ุจุนุฑูุŒ ุญูƒุช ุฅู†ู‡ ุงู„ู†ุดุงุท ุงู„ุงู‚ุชุตุงุฏูŠ ูˆุงู„ุณูƒุงู†ุŒ ูƒุฏู‡ ุฑูƒุฒ ูˆู„ุง
956
+
957
+ 299
958
+ 00:31:13,140 --> 00:31:15,840
959
+ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฌูˆุฑุŒ ูˆู„ุง ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฌูˆุฑ
960
+
961
+ 300
962
+ 00:31:21,530 --> 00:31:27,510
963
+ ู…ุง ูŠูู…ูƒู†ุŒ ุจูŠุจู‚ู‰ ู„ู†ุง ู†ูุณุฑุŒ ู†ูุฌูŠุจุŒ ุฃู†ุง
964
+
965
+ 301
966
+ 00:31:27,510 --> 00:31:31,830
967
+ ู‚ุตุฏ ู…ู† ุงู„ุงู…ุชุญุงู† ุงู„ุฑุณุงู„ุฉ ุงู„ู…ุฑุงุฏ ุชูˆุตูŠู„ู‡ุงุŒ ุงู…ุชุญุงู† ุฃู†
968
+
969
+ 302
970
+ 00:31:31,830 --> 00:31:37,210
971
+ ุฃุนุฑู ุฃุฑุณู… ุงู„ุฎุฑุงุฆุท ุงู„ุซู„ุงุซ ุงู„ู„ูŠ ูŠูุนุชุจูŽุฑูˆู† ุฃู‡ู… ุฎุฑุงุฆุท ููŠ
972
+
973
+ 303
974
+ 00:31:37,210 --> 00:31:41,370
975
+ ุฎุฑูŠุทุฉ ุฃูˆุฑูˆุจุงุŒ ุฅุฐุง ุฃู†ุง ูˆุตู„ุช ู„ู‚ู†ุงุนุฉ ุฃู† ุฃู†ุง ุฃุฑุณู…ู‡ู…ุŒ ุฃู†ุง
976
+
977
+ 304
978
+ 00:31:41,370 --> 00:31:46,920
979
+ ูˆุตู„ุช ู…ุนู„ูˆู…ุฉ ู…ู…ุชุงุฒุฉ ุฎู„ุงู„ ูุชุฑุฉ ุงู„ุงู…ุชุญุงู†ุŒ ุฅู† ุจูƒุฑุง ู„ู…ุง
980
+
981
+ 305
982
+ 00:31:46,920 --> 00:31:51,060
983
+ ุฃุชุฌู‡ ุฅู„ู‰ ุงู„ู„ูˆุญุŒ ู‡ุชูŽุฌู’ุฑููˆู„ ุงู„ูุชุญุฉุŒ ู„ู…ุง ุฃู†ุง ู…ูˆุช ุนู„ู…ู†ุง ูƒูŠู
984
+
985
+ 306
986
+ 00:31:51,060 --> 00:31:58,740
987
+ ู†ุฑุณู… ุงู„ุฎุฑูŠุทุฉุŒ ูˆุงู„ู„ู‡ ุบ๏ฟฝ๏ฟฝุฑ ุงู„ูุชุญุฉ ุชูุตูู„ู’ู†ูŠ ู„ุฅูŠุดุŸ ู„ุฃู†ู‡ ููŠ
988
+
989
+ 307
990
+ 00:31:58,740 --> 00:32:04,760
991
+ ุธู‡ุฑ ุงู„ุบูŠุจุŒ ูˆุงู„ุฏุนุงุก ููŠ ุธู‡ุฑ ุงู„ุบูŠุจ ุนู„ู‰ ุทูˆู„ ุฑุจู†ุง ุจูŠุณู…ุน
992
+
993
+ 308
994
+ 00:32:04,760 --> 00:32:11,500
995
+ ุงู„ู„ู‡ ูŠูƒุฑู…ูƒ ูŠุงโ€ฆ ุจู‚ู‰ ุฃู†ุช ูŠุง ุฑูŠู…ุŒ ูˆ
996
+
997
+ 309
998
+ 00:32:11,500 --> 00:32:12,540
999
+ ุงู„ู„ู‡ ูŠุทู…ุฆู†ู‘ู‡ุง
1000
+
1001
+ 310
1002
+ 00:32:16,460 --> 00:32:24,240
1003
+ ู…ุง ุจุนุฑูุŒ ู‡ุฐู‡ ุฑุฏุฉ ูุนู„ ุงู„ุงู…ุชุญุงู†ุŒ ุฃุญูˆุงู„ ู†ูุณูŠุฉุŒ ู‡ุชุฃุฎุฐ
1004
+
1005
+ 311
1006
+ 00:32:24,240 --> 00:32:29,800
1007
+ ูˆุฑู‚ุฉ ุงู„ุฅุฌุงุจุฉุŒ ุงู„ู†ุตููŠ ูŠููˆุฒูŽู‘ุนุŒ ุฃูŠ ุงุนุชุฑุงุถ ู„ุฏูŠูƒ ุนู„ู‰
1008
+
1009
+ 312
1010
+ 00:32:29,800 --> 00:32:35,280
1011
+ ุงู„ุชุตุญูŠุญุŒ ู†ุฃุฎุฐู‡ ู‡ู†ุง ุนู„ู‰ ุงู„ู…ู„ุฃ ู…ุจุงุดุฑุฉู‹ุŒ ู†ุดูˆูุŒ ู‚ุถูŠุฉ
1012
+
1013
+ 313
1014
+ 00:32:35,280 --> 00:32:39,480
1015
+ ุชู‚ู†ุนุŒ ุฃู‚ู†ุนุชู†ูŠุŒ
1016
+
1017
+ 314
1018
+ 00:32:39,480 --> 00:32:45,300
1019
+ ู„ุงุŒ ู„ุงุŒ ู„ุงุŒ ุฅุฐุง ุฏู…ุช ุนู„ู‰ ุญู‚ุŒ ูู‚ูˆู„ูŠ ุฃู†ุช ุนู„ู‰ ุจุงุทู„ุŒ
1020
+
1021
+ 315
1022
+ 00:32:45,300 --> 00:32:46,200
1023
+ ุจุฑุถู‡ุŸ
1024
+
1025
+ 316
1026
+ 00:32:50,140 --> 00:32:54,720
1027
+ ูŠุง ุจู†ุงุชุŒ ูƒู„ ุดูŠุก ุฃู…ุงู†ุฉุŒ ุญุชู‰ ู„ูˆ ุฃู†ุง ุบู…ุถุช ุนูŠู†ูŠ ุนู† ูˆุฑู‚ุฉ
1028
+
1029
+ 317
1030
+ 00:32:54,720 --> 00:32:57,520
1031
+ ููŠ ุงู„ู‡ุฏู‰ุŒ ูˆุตุฏู‚ูˆู†ูŠ ุฃู†ุง ุจุฃูุตู„ูุญู‡ุงุŒ ุจุฃุนุฑูุด ู…ูŠู† ุงู„ู„ูŠ ู‚ุฏุงู…ูŠ
1032
+
1033
+ 318
1034
+ 00:32:57,520 --> 00:33:01,660
1035
+ ุจุฃูุตู„ูุญู‡ุงุŒ ุฅู„ุง ุฅุฐุง ูƒุงู†ุช ูˆุฑู‚ุฉ ู…ู…ูŠุฒุฉุŒ ู…ู…ูƒู† ู†ุทู„ุน ุนู„ู‰
1036
+
1037
+ 319
1038
+ 00:33:01,660 --> 00:33:04,780
1039
+ ุงุณู…ู‡ุงุŒ ู…ูŠู† ู‡ูŠุŒ ูˆุงู„ู‘ุง ุงู„ุจุงู‚ูŠุŒ ูˆุจุนุฏูŠู† ุจุฃูุตู„ูุญ ุณุคุงู„
1040
+
1041
+ 320
1042
+ 00:33:04,780 --> 00:33:09,280
1043
+ ุณุคุงู„ุŒ ุนุดุงู† ุชูƒูˆู† ุงู„ุฅุฌุงุจุฉ ู…ุฑูƒุฒุฉ ุถู…ู† ุงู„ุฃุณุฆู„ุฉ ู‡ุฐู‡ุŒ ูˆ
1044
+
1045
+ 321
1046
+ 00:33:09,280 --> 00:33:13,320
1047
+ ุจุนุฏูŠู† ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ูˆุฃุนุชู‚ุฏ ุฃุญูŠุงู†ุงู‹ ุจุฃุฎู„ูŠ ุงู„ุทู„ุงุจ ูŠุฌู…ุนูˆุง
1048
+
1049
+ 322
1050
+ 00:33:13,320 --> 00:33:16,160
1051
+ ู„ูŠุŒ ูŠุนู†ูŠ ู…ุน ูƒุซุฑุฉ ู‡ุฐุงุŒ ุจู‚ูˆู„ูˆุง: ุชุนุงู„ูˆุง ุงุฌู…ุนูˆุงุŒ ุฃูˆ ุฃู†ุง
1052
+
1053
+ 323
1054
+ 00:33:16,160 --> 00:33:22,460
1055
+ ุจุฌู…ุนุŒ ุฃูˆ ุฅูŠู‡ ุงู„ู…ู‡ู… ุจุญูŠุซ ุฃู†ู‡ ู„ุง ุชุจู‚ู‰ ุฏุฑุฌุฉ ูˆุงุญุฏุฉ ู„ูƒู…
1056
+
1057
+ 324
1058
+ 00:33:22,460 --> 00:33:26,540
1059
+ ุนู†ุฏ ูŠูˆู… ุงู„ู‚ูŠุงู…ุฉ ุชุญุงุฌู‘ูˆู† ููŠู‡ุงุŒ ู…ุง ุจุฏูŠ ุฃุดูˆู ูˆุฌู‡ูƒ ูŠูˆู…
1060
+
1061
+ 325
1062
+ 00:33:26,540 --> 00:33:30,120
1063
+ ุงู„ู‚ูŠุงู…ุฉุŒ ู„ุฃู† ูŠูˆู… ุงู„ู‚ูŠุงู…ุฉ ู…ุด ูุงุถุญ ู„ูƒู…ุŒ ู†ูุณูŠุŒ ู†ูุณูŠ
1064
+
1065
+ 326
1066
+ 00:33:30,120 --> 00:33:34,140
1067
+ ูู‡ู…ุชูˆุงุŸ ูˆุฃุนุชู‚ุฏ ุฃู† ุงู„ุธู„ู…ุŒ ู„ุฃู† ุงู„ุธู„ู… ุธู„ู…ุงุช ูŠูˆู…
1068
+
1069
+ 327
1070
+ 00:33:34,140 --> 00:33:42,800
1071
+ ุงู„ู‚ูŠุงู…ุฉุŒ ุขู‡ ู†ุฃุฎุฐ ุฃูุฑูŠู‚ูŠุง ุงู„ุชูŠ ุทุงู„ ุงู†ุชุธุงุฑู‡ุง
1072
+
1073
+ 328
1074
+ 00:33:45,170 --> 00:33:55,370
1075
+ ู‡ูŠ ูŠุง ุฃุจูˆ ุญู…ุฒุฉุŸ ู…ุฆุฉ
1076
+
1077
+ 329
1078
+ 00:33:55,370 --> 00:34:00,590
1079
+ ู…ุฑุฉ ุฌุงูˆุจู†ุง ู‡ุฐุง ุงู„ุณุคุงู„ุŒ ุฃุญู†ุง
1080
+
1081
+ 330
1082
+ 00:34:00,590 --> 00:34:04,570
1083
+ ู‚ู„ู†ุง ุดูŠุก ุซุงู†ูŠุŒ ุขู‡ ู„ุฃู† ุฃู†ุง ููŠ ุงู„ุตูŠูุŒ ุดูŠุก ููŠู‡ุŸ
1084
+
1085
+ 331
1086
+ 00:34:09,250 --> 00:34:12,110
1087
+ ุตุนูˆุจุฉ ุงู„ุชุญุฏูŠุฏ ุงู„ู„ูŠ ู‚ุงูŠู„ูŠู† ููŠ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุงุŒ ู‡ูˆ ู…ุด ููŠ
1088
+
1089
+ 332
1090
+ 00:34:12,110 --> 00:34:15,270
1091
+ ู‚ุงุฑุฉ ุฃูˆุฑูˆุจุงุŒ ุฃุชูŠ ุงู„ุณุคุงู„ ู‡ุฐุงุŒ ุฃู†ุง ุจุฐูƒุฑู‡ุŒ ููŠ ุฃูุฑูŠู‚ูŠุง
1092
+
1093
+ 333
1094
+ 00:34:16,400 --> 00:34:20,200
1095
+ ู‡ูˆ ุตุนุจ ุงู„ุชุญุฏูŠุฏุŒ ุงู„ุฏุฑุงุณูŠ ููŠ ุฑูˆุณูŠุงุŒ ุขู‡ ู„ุฃู† ุฒูŠ ู…ุง ู‚ู„ุช
1096
+
1097
+ 334
1098
+ 00:34:20,200 --> 00:34:26,320
1099
+ ูƒุฑุงุณู†ูˆูŠุงุฑุณูƒุŒ ูˆู‡ุงุฏูˆู„ ุงู„ู…ุฏูŠู†ุชูŠู† ุนู„ู‰ ู†ู‡ุฑ ูŠู†ูŠุณูŠุŒ ูˆุนู„ูŠู‡ู… ู‡ู…
1100
+
1101
+ 335
1102
+ 00:34:26,320 --> 00:34:33,300
1103
+ ู‚ุงู„ูˆุง ู„ูŠ ุฎุท ูˆู‡ู…ูŠุŒ ุฃู…ุง ุงู„ุดุฑู‚ ุทุจุนุงู‹ ู…ุนุฑูˆู ููŠู‡ ุฌุจุงู„ุŒ ูˆ
1104
+
1105
+ 336
1106
+ 00:34:33,300 --> 00:34:38,540
1107
+ ุงู„ุดู…ุงู„ ู…ูˆุฌูˆุฏุŒ ูˆุงู„ุดุฑู‚ ู…ูˆุฌูˆุฏุŒ ููŽุด ู„ู„ุฌู†ูˆุจ ุงู„ู„ูŠ ู…ุด ู…ูˆุฌูˆุฏ
1108
+
1109
+ 337
1110
+ 00:34:38,540 --> 00:34:40,220
1111
+ ู…ุซู„ู‡ุŒ ู‡ูˆ ู†ุนู…
1112
+
1113
+ 338
1114
+ 00:34:52,920 --> 00:34:56,820
1115
+ ุจุณ ุฃู†ุง ุจุฏูŠ ุฃู‚ูˆู„ ู„ูƒู… ุงู„ุจู†ูŠุฉ ุงู„ุฌูŠูˆู„ูˆุฌูŠุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ูƒู„
1116
+
1117
+ 339
1118
+ 00:34:56,820 --> 00:35:01,080
1119
+ ุงู„ูƒุชุจ ุงู„ุฌุบุฑุงููŠุฉุŒ ุชุฌุฏูˆู†ู‡ุงุŒ ุจุณ ู„ูˆ ุฃู† ูƒู„ ู…ุฏุฑุณ ุจูŠุดุฑุญู‡ุง
1120
+
1121
+ 340
1122
+ 00:35:01,080 --> 00:35:06,060
1123
+ ู„ุญูุธู†ุงู‡ุง ุฒู…ุงู†ุŒ ุจุณ ูƒู„ ู…ุฏุฑุณ ุจูŠุฑุฌุน ู„ู‡ุงุŒ ุชู‚ุน ููŠ ุฑุฃุณ ุงู„ู„ูŠ
1124
+
1125
+ 341
1126
+ 00:35:06,060 --> 00:35:06,640
1127
+ ุจูŠุดุฑุญู‡ุง
1128
+
1129
+ 342
1130
+ 00:35:27,730 --> 00:35:34,850
1131
+ ุขู‡ ุฎู„ุงุตุŒ ุฏูˆุฑู‡ ููŠ ุงู„ุฃุณุฆู„ุฉุŒ ูˆู„ุณู‡ ุฃุถุงูŠู‚ ุจูƒุฑุฉ ูˆูŠูˆู…
1132
+
1133
+ 343
1134
+ 00:35:34,850 --> 00:35:40,130
1135
+ ุงู„ุฃุญุฏุŒ ู„ุณู‡ ุนุดุฑุฉ ูˆู†ุตุŒ ุฃูŠ ุณุคุงู„ุŒ ุงุณุชุตุฑููˆุง ุนู„ูŠูƒู…ุŒ ุฃู†ุง
1136
+
1137
+ 344
1138
+ 00:35:40,130 --> 00:35:40,630
1139
+ ู…ูˆุฌูˆุฏ
1140
+
1141
+ 345
1142
+ 00:35:43,660 --> 00:35:49,220
1143
+ ูˆุงู„ู„ู‡ ู„ุฃ ุฃุตุญุญ ุงู„ุทู„ุงุจุŒ ูˆู…ุง ุฃุตุญุญุด ุงู„ุทู„ุจุงุช ุจู†ูุณูŠุŒ ุฃูุถู„
1144
+
1145
+ 346
1146
+ 00:35:49,220 --> 00:35:52,540
1147
+ ุนุดุงู† ุนู†ุฏูŠ ุดูˆูŠุฉ ุดุบู„ ููŠ ุงู„ุจูŠุชุŒ ุจุฏูŠโ€ฆ ุจุณ ุฅู† ุดุงุก ุงู„ู„ู‡
1148
+
1149
+ 347
1150
+ 00:35:52,540 --> 00:35:57,160
1151
+ ุฃุตู„ุญู‡ู…ุŒ ุฎู„ุตู†ุงุŸ
1152
+
1153
+ 348
1154
+ 00:35:57,160 --> 00:36:03,360
1155
+ ูŠุนู†ูŠ ุจุชูƒูˆู†ุด ุชุฃุฎุฐ ูุฑูŠู‚ูŠุงู‹ุŸ ู†ูุณูƒู… ู…ุด ู…ู‡ูŠุฆุฉ ู„ู„ุงุณุชู‚ุจุงู„ุŒ
1156
+
1157
+ 349
1158
+ 00:36:03,360 --> 00:36:07,240
1159
+ ู…ุงุดูŠุŸ ูˆุฅู„ู‰ ุงู„ู„ู‚ุงุก ุขุฎุฑ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุดูƒุฑุงู‹ ู„ูƒู…
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/-vf2iYBhTKU.srt ADDED
@@ -0,0 +1,2009 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,040 --> 00:00:07,260
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูŠุง ุฑุจู‘ูƒ ุงู„ุนููˆ ูŠุง ุดุจุงุจ
4
+
5
+ 2
6
+ 00:00:07,260 --> 00:00:11,260
7
+ ุงู„ูŠูˆู… ู†ูƒู…ู„ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุงู„ู€ summation ุจุนุฏ ู…ุง
8
+
9
+ 3
10
+ 00:00:11,260 --> 00:00:14,960
11
+ ุฎู„ุตู†ุง ุงู„ู€ sequence ูˆุงู„ู€ stringุŒ ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ู€
12
+
13
+ 4
14
+ 00:00:14,960 --> 00:00:18,000
15
+ sequence ูˆุงุชูƒู„ู…ู†ุง ุนู† ุงู„ู€ stringุŒ ุนุดุงู† ู†ู†ุชู‚ู„ ุฅู„ู‰
16
+
17
+ 5
18
+ 00:00:18,000 --> 00:00:20,600
19
+ ู…ูˆุถูˆุน ุงู„ู€ summationุŒ ูˆุงู„ู€ summation ู‡ูˆ ุงู„ุญู‚ูŠู‚ุฉ ุดูˆูŠุฉ
20
+
21
+ 6
22
+ 00:00:20,600 --> 00:00:25,260
23
+ ู…ุฑุชุจุท ุจุฌุฒุฆูŠุฉ ุงู„ู€ sequenceุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู†ู‘ ุงุญู†ุง ู‡ู†ุนู…ู„
24
+
25
+ 7
26
+ 00:00:25,260 --> 00:00:28,760
27
+ summation ู„ู€ sequence of elementsุŒ ู…ุฌู…ูˆุนุฉ elements
28
+
29
+ 8
30
+ 00:00:28,760 --> 00:00:32,700
31
+ ุจุฏู†ุง ู†ุนู…ู„ู‡ู… ุนู…ู„ูŠุฉ summation ูˆู†ุดูˆู ุฅูŠุด ุจุชุทู„ุน
32
+
33
+ 9
34
+ 00:00:32,700 --> 00:00:35,160
35
+ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุฃูˆ ุฅูŠุด ุจุชุทู„ุน ุนู…ู„ูŠุฉ ุงู„ู€ summation ู‡ุฐู‡ุŒ ูƒูŠู
36
+
37
+ 10
38
+ 00:00:35,160 --> 00:00:41,380
39
+ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุนุงู‡ุงุŸ ูุนู„ูŠุงู‹ ุฃู†ุง ุจูุชุนุงู…ู„ ู…ุน sequence ุฃูˆ
40
+
41
+ 11
42
+ 00:00:41,380 --> 00:00:44,940
43
+ seriesุŒ ุณู„ุณู„ุฉ ู…ู† ุงู„ุจูŠุงู†ุงุชุŒ ุฃูˆ ุณู„ุณู„ุฉ ู…ู† ุงู„ู…ุนู„ูˆู…ุงุชุŒ ุฃูˆ
44
+
45
+ 12
46
+ 00:00:44,940 --> 00:00:50,520
47
+ ุณู„ุณู„ุฉ ู…ู† ุงู„ุฃุฑู‚ุงู…ุŒ ู‡ู†ุง ุนุจุงุฑุฉ ุนู† a<sub>m</sub>ุŒ ุจุฏุฃ ู…ู† ุงู„ู€ index
48
+
49
+ 13
50
+ 00:00:50,520 --> 00:00:58,100
51
+ ู…ูˆุฌูˆุฏ. ูุฅุฐุง ุฃู†ุง ุจุชูƒู„ู… ุนู† series ุฃูˆ sequenceุŒ ุงู„ุฅู†ุชุงุฌ
52
+
53
+ 14
54
+ 00:00:58,100 --> 00:01:03,830
55
+ ูŠุชุจุน ู„ู„ู€ lower boundุŒ ุจู…ุนู†ู‰ ู…ู† ุฅู…ุชู‰ ุจุจุฏุฃุŸ ุฃูƒูŠุฏ ู„ุงุฒู…
56
+
57
+ 15
58
+ 00:01:03,830 --> 00:01:07,710
59
+ ูŠุจุฏุฃ ู…ู† ู‚ูŠู…ุฉ ุงู„ู€ indexุŒ ู„ุงุฒู… ูŠุจุฏุฃ ู…ู† ู‚ูŠู…ุฉ ุนู…ู„ูŠุฉ ุงู„ู€
60
+
61
+ 16
62
+ 00:01:07,710 --> 00:01:10,910
63
+ summation. ุนุดุงู† ุฃุถุญู‘ูƒูƒู… ุฃูƒุซุฑุŒ ุฎู„ูŠู†ุง ู†ูƒุชุจู‡ุง ู‡ู†ุง ูˆ
64
+
65
+ 17
66
+ 00:01:10,910 --> 00:01:17,090
67
+ ู†ูุตู„ู‡ุง ุฃูƒุซุฑุŒ ู‡ุงูŠ a<sub>1</sub>ุŒ a<sub>2</sub>ุŒ ุฃูˆ a<sub>i</sub>ุŒ in generalุŒ zeroุŒ ู„ุฃู†ู‘
68
+
69
+ 18
70
+ 00:01:17,090 --> 00:01:20,090
71
+ ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ู€ zeroุŒ ู…ุด ู‡ูŠูƒ ูƒู†ุชูˆุง ุจุชู‚ูˆู„ูˆุงุŸ ุฏู‡ ู…ู† ู‡ูŠูƒ
72
+
73
+ 19
74
+ 00:01:20,090 --> 00:01:22,670
75
+ ูƒู†ุชูˆุง ุจุชู‚ุฏุฑูˆุง ุชุณุชุฎุฏู…ูˆู‡ ููŠ ุงู„ู€ arrayุŒ ู…ุซู„ุงู‹ ุงู„ู€ array
76
+
77
+ 20
78
+ 00:01:22,670 --> 00:01:25,910
79
+ ุงู„ู„ูŠ ู‡ูŠ ุจุฑู…ุฌูŠุงู‹ ุชู…ุซู„ ุงู„ู€ sequence ุนู†ุฏู†ุงุŒ ุฃูˆ ุงู„ู€ series
80
+
81
+ 21
82
+ 00:01:25,910 --> 00:01:30,730
83
+ ุนู†ุฏู†ุง. ูุฅุฐุง ู…ู…ูƒู† ู†ุจุฏุฃ ุจู‡ุฐุง ุงู„ุดูƒู„.
84
+
85
+ 22
86
+ 00:01:35,380 --> 00:01:39,000
87
+ ูˆู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุนุงู‡ุŒ ูƒูˆูŠุณุŒ ุจุงู„ุดูƒู„ ู‡ุฐุง.
88
+
89
+ 23
90
+ 00:01:39,000 --> 00:01:44,840
91
+ ุงู„ู€ summation ู„ุงุฒู… ุชูƒูˆู† ุจู†ุฌู…ุน ู…ุฌู…ูˆุนุฉ elements ู…ู†
92
+
93
+ 24
94
+ 00:01:44,840 --> 00:01:50,360
95
+ ุฏุงุฎู„ ุงู„ู€ set ู‡ุฐู‡ุŒ ู‚ุฏ ูŠูƒูˆู† ูƒู„ู‡ู…ุŒ ู‚ุฏ ูŠูƒูˆู† ุฌุฒุก ู…ู†ู‡ู…ุŒ
96
+
97
+ 25
98
+ 00:01:50,360 --> 00:01:53,720
99
+ ู…ุด ู‡ูŠูƒุŸ ุฃูƒูŠุฏุŒ ุทูŠุจุŒ ูุฅุฐุง ู„ู…ุง ู†ุจุฏุฃุŒ ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ูˆูŠู†
100
+
101
+ 26
102
+ 00:01:54,480 --> 00:01:58,260
103
+ ุงู„ู€ lower boundุŒ ุฃูˆ ุงู„ู€ startุŒ ุงู„ู€ start ุงู„ุทุจูŠุนูŠ
104
+
105
+ 27
106
+ 00:01:58,260 --> 00:02:03,620
107
+ ูŠุจุฏุฃ ู…ู† index 0ุŒ ูุฃูƒุซุฑุŒ ูŠุนู†ูŠ ูŠู…ูƒู† ุฃู‚ูˆู„ ู„ูƒ ุงุจุฏุฃ ู…ู†
108
+
109
+ 28
110
+ 00:02:03,620 --> 00:02:09,580
111
+ ุจุฏุงูŠุชู‡ุŒ okayุŒ ุฎู„ุงุต ู…ุนู†ุงุชู‡ ุงู„ู€ j = 0. ูุฅุฐุง ุจุฏูŠ ุฃุจุฏุฃ ู…ู† j
112
+
113
+ 29
114
+ 00:02:09,580 --> 00:02:13,720
115
+ ุจุชุณุงูˆูŠ 0ุŒ ูƒุฃู†ูŠ ุจุฏูŠ ุฃุจุฏุฃ ู…ู† ุฃูˆู„ ุงู„ู€ string ุฃูˆ ุงู„ู€
116
+
117
+ 30
118
+ 00:02:13,720 --> 00:02:18,160
119
+ sequence ูƒุงู…ู„ุŒ ุฃูˆ ุฃู‚ูˆู„ ู„ูƒ ู„ุฃุŒ ุจุฏูŠุด ุฃุจุฏุฃ ู…ู† ุงู„ุฃูˆู„ุŒ ุจุฏูŠ
120
+
121
+ 31
122
+ 00:02:18,160 --> 00:02:24,370
123
+ ุฃุจุฏุฃ ู…ู† ุงู„ุงุซู†ูŠู† ูˆูƒู…ู„ ุจุนุฏู‡ุŒ ุฎู„ุงุต ุตุงุฑุช ุงู„ู€ j ู‡ู†ุง
124
+
125
+ 32
126
+ 00:02:24,370 --> 00:02:28,470
127
+ ุจุชุณุงูˆูŠ ุงุซู†ูŠู†ุŒ ุงู„ู€ j ุฃุตุจุญุช ููŠ ุงู„ุญุงู„ุฉ ุจุชุณุงูˆูŠ ุงุซู†ูŠู†.
128
+
129
+ 33
130
+ 00:02:28,470 --> 00:02:36,410
131
+ ุชู…ุงู…ุŒ ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู†ู‘ู‡ ุงู„ู€ lower bound ุฃูˆ ุงู„ู€ limit j ู‡ูŠ
132
+
133
+ 34
134
+ 00:02:36,410 --> 00:02:41,390
135
+ ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุตูุฑุŒ ูุฃู†ุง ุฅู…ุง ุจุจุฏุฃ ู…ู† ุงู„ู€ index
136
+
137
+ 35
138
+ 00:02:41,390 --> 00:02:47,360
139
+ ุตูุฑ ุฃูˆ ุฃูƒุซุฑุŒ ู…ุง ููŠุด ุฃู‚ู„ ู…ู† ุจุงู„ุธุจุท ู‡ู†ุง ููŠ ุนู†ุฏูƒ ุฃุฌู„ ู…ู†
140
+
141
+ 36
142
+ 00:02:47,360 --> 00:02:52,160
143
+ ุงู„ุตูุฑ ูƒู€ indexุŒ ูุดุŒ ูุทุจูŠุนูŠ ุจุฏุงูŠุฉ ุงู„ู€ summation ุจุฏู‡ุง
144
+
145
+ 37
146
+ 00:02:52,160 --> 00:02:56,580
147
+ ุชุจุฏุฃ ู…ู† ุงู„ู€ index ุงู„ุฃูˆู„ ุฃูˆ ู…ุง ุจุนุฏู‡ ุฃูˆ ู…ุง ุจุนุฏู‡ุŒ ุทูŠุจ ุงู„ู€
148
+
149
+ 38
150
+ 00:02:56,580 --> 00:03:01,900
151
+ upper boundุŒ ุทุจูŠุนูŠ ุญุชูƒูˆู† kุŒ ุงู„ู€ k ู‡ุฐู‡ ุนุดุงู† ูŠูƒูˆู† ููŠ
152
+
153
+ 39
154
+ 00:03:01,900 --> 00:03:06,600
155
+ ุนู†ุฏูƒ ุญุงุฌุฉ ุชุญุณุจู‡ุงุŒ ุจุฏู‡ุง ุชูƒูˆู†ุŒ ุฅุฐุง ุงู„ู€ j ูุนู„ุงู‹ ุฃูƒุจุฑ ู…ู†
156
+
157
+ 40
158
+ 00:03:06,600 --> 00:03:10,480
159
+ ุฃูˆ ูŠุณุงูˆูŠ ุตูุฑุŒ ูุงู„ู€ k ู‡ุฐู‡ุŒ ุงู„ู€ k ุณู…ู‘ูŠู†ุงู‡ุง ูƒู…ูŠุฉุŒ ุขู‡ ู…ุธุจูˆุทุŒ
160
+
161
+ 41
162
+ 00:03:10,480 --> 00:03:15,210
163
+ ุฃูƒุจุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุงู„ู€ jุŒ ุงู„ู€ startุŒ ุจุญูŠุซ ุฅู†ู‘ ู„ูˆ ุจุชุณุงูˆูŠู‡ุง
164
+
165
+ 42
166
+ 00:03:15,210 --> 00:03:21,570
167
+ ู…ุนู†ุงุชู‡ ุฃุตู„ุงู‹ ู…ุด ุฃู†ู‘ู‡ุง ุนู†ุตุฑ ๏ฟฝ๏ฟฝุงุญุฏุŒ ู‡ูŠ a<sub>j</sub> ุจุณุŒ a<sub>j</sub> ูู‚ุท ู„ุง
168
+
169
+ 43
170
+ 00:03:21,570 --> 00:03:24,250
171
+ ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ุŒ ุฃู…ุง ุฅุฐุง ูƒุงู† ุฃูƒุจุฑุŒ ู…ุนู†ุงุชู‡ ููŠู‡ ุนุฏุฉ ุนู†ุงุตุฑ
172
+
173
+ 44
174
+ 00:03:24,250 --> 00:03:27,890
175
+ ุจุฏู†ุง ู†ุฌู…ุน ู…ุฌู…ูˆุนุฉ ุงู„ุนู†ุงุตุฑ ู‡ุฐู‡ุŒ ุจุณ ู„ุง ูŠุฌูˆุฒ ุฅู†ู‘ k ุชูƒูˆู†
176
+
177
+ 45
178
+ 00:03:27,890 --> 00:03:33,590
179
+ ุฃู‚ู„ุŒ ุชู‚ูˆู„ ู„ูŠ ุฌู…ุงู„ูŠ ู…ู† ุงุซู†ูŠู† ู„ุตูุฑุŸ ู„ุฃุŒ ู‡ูŠ ุงู„ู…ูุฑูˆุถ
180
+
181
+ 46
182
+ 00:03:33,590 --> 00:03:36,550
183
+ ุนูƒุณุชู‡ุง ู…ู† ุตูุฑ ู„ู„ุงุซู†ูŠู†ุŒ ู…ูู‡ูˆู…ุฉุŒ ุจุณ ู…ู† ุงุซู†ูŠู† ู„ุตูุฑ ู„ุฃุŒ
184
+
185
+ 47
186
+ 00:03:36,550 --> 00:03:41,460
187
+ ุจุชู†ุธุจุทุดุŒ ุชู…ุงู…. ูˆุงู„ุดุบู„ุฉ ุงู„ุซุงู†ูŠุฉ ูˆุงู„ู…ู‡ู…ุฉุŒ ุฃู†ู‘ k ู„ุงุฒู…
188
+
189
+ 48
190
+ 00:03:41,460 --> 00:03:47,580
191
+ ุชูƒูˆู† ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ nุŒ ู…ุธุจูˆุทุŸ
192
+
193
+ 49
194
+ 00:03:47,580 --> 00:03:53,620
195
+ nุŒ ุฅุฐุง ู‡ูŠ limited ุฃูˆ finite seriesุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง
196
+
197
+ 50
198
+ 00:03:53,620 --> 00:03:58,560
199
+ ู…ุง ุจู‚ุฏุฑ ุฃุทู„ุน ุฃุนุฏู‘ูŠู‡ุง ู‡ุฐู‡ุŒ ู„ุงุฒู… ููŠ ุงู„ู†ู‡ุงูŠุฉ ุจุฑุถู‡ k ุชูƒูˆู†
200
+
201
+ 51
202
+ 00:03:58,560 --> 00:04:06,610
203
+ ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ nุŒ ุจูƒูˆู† ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ nุŸ ุฌูŠุฏุŒ ูุฃุตุจุญ
204
+
205
+ 52
206
+ 00:04:06,610 --> 00:04:11,190
207
+ ููŠ ุงู„ุขุฎุฑ ุนู†ุฏูŠุŒ ูƒุฃู†ูŠ ุจุนู…ู„ summation ู„ู„ู€ sequence ุฃูˆ
208
+
209
+ 53
210
+ 00:04:11,190 --> 00:04:17,900
211
+ ุงู„ู€ series ุชุจุนู‘ุชู†ุงุŒ from jุŒ ุจู†ุนู…ู„ู‡ุง summation j to kุŒ ูˆ
212
+
213
+ 54
214
+ 00:04:17,900 --> 00:04:24,460
215
+ ุจู†ุญุทู‘ู‡ุง a<sub>i</sub>ุŒ ุจุญูŠุซ ุฃู†ู‘ ุงู„ู€ index ุชุจุนู†ุง ูŠุจุฏุฃ ู…ู† j ุฅู„ู‰ k.
216
+
217
+ 55
218
+ 00:04:24,460 --> 00:04:30,640
219
+ ูƒุฃู†ู‘ูŠ ุจู‚ูˆู„ ู‡ุฐู‡ equivalent ู„ู€ a<sub>j</sub> + a<sub>j+1</sub> + a<sub>
220
+
221
+ 56
222
+ 00:04:30,640 --> 00:04:36,660
223
+ j+2</sub> ู„ุนู†ุฏ a<sub>k</sub>ุŒ ุจู†ุฑุฌุนุŒ ุฎู„ุงุต ุจุฏูŠ ุฃุฌู…ุน ู…ุฌู…ูˆุนุฉ
224
+
225
+ 57
226
+ 00:04:36,660 --> 00:04:40,460
227
+ ุงู„ุนู†ุงุตุฑ ู‡ุฐู‡ุŒ ุจุญูŠุซ ุฃู†ู‘ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู€ i ู‡ู†ุง ุงู„ู€ index
228
+
229
+ 58
230
+ 00:04:40,460 --> 00:04:45,430
231
+ of summation. ููŠ ุงู„ู€ continuousุŒ ุจุนูŠุฏุงู‹ ุนู† ุงู„ู€ cุŒ ุนู† ุงู„ู€
232
+
233
+ 59
234
+ 00:04:45,430 --> 00:04:48,950
235
+ discreteุŒ ูƒู†ุช ุจุชุณู…ู‘ูˆู‡ุง integrationุŒ ูƒู†ุช ุจุชู‚ูˆู„ู‡
236
+
237
+ 60
238
+ 00:04:48,950 --> 00:04:56,470
239
+ integration from j to kุŒ ูˆ a<sub>i</sub> ุนู„ู‰ ุทูˆู„ุŒ ู‡ุฐู‡ ุตุงุฑุช i
240
+
241
+ 61
242
+ 00:04:57,660 --> 00:05:01,120
243
+ from j to kุŒ ูƒู†ุชูˆุง ู‡ูŠูƒ ุชูƒุชุจูˆู‡ุง ุจุงู„ุดูƒู„ ู‡ุฐุงุŸ ู„ุฃุŒ ุงุญู†ุง
244
+
245
+ 62
246
+ 00:05:01,120 --> 00:05:05,500
247
+ ู…ุงุนู†ุฏู†ุงุด continuousุŒ ูˆุงู„ู€ functionุŒ ู„ุฃุŒ ุฃู†ุง ุจุชูƒู„ู… ุนู†
248
+
249
+ 63
250
+ 00:05:05,500 --> 00:05:09,620
251
+ ู„ุฃุŒ ุฃู†ุง ุจุชูƒู„ู… ุนู† discreteุŒ completely discreteุŒ ุฒูŠ ู…ุง
252
+
253
+ 64
254
+ 00:05:09,620 --> 00:05:12,600
255
+ ุงุญู†ุง ุดุงูŠููŠู†ุŒ ุงู„ู…ุตุงู‚ ุทุจุนุงู‹ ูƒู„ู‡ discrete ุฃุตู„ุงู‹ุŒ ูููŠ ุงู„ู€
256
+
257
+ 65
258
+ 00:05:12,600 --> 00:05:18,120
259
+ discrete summationุŒ ูุถู„ ุงู„ู€ index
260
+
261
+ 66
262
+ 00:05:18,120 --> 00:05:23,190
263
+ ุงู„ู€ index ู„ุขุฎุฑ element ุจุฏู‘ูŠ ุฃุฌู…ุนู‡ุŒ ุงู„ู€ index ู„ุขุฎุฑ
264
+
265
+ 67
266
+ 00:05:23,190 --> 00:05:27,210
267
+ element ุจุฏู‘ูŠ ุฃุฌู…ุนู‡ุŒ ูˆุงู„ู€ j ุฃูˆู„ element ุจุฏู‘ูŠ ุฃุฌู…ุนู‡ ู…ู†
268
+
269
+ 68
270
+ 00:05:27,210 --> 00:05:32,710
271
+ ุงู„ู€ seriesุŒ ุงู„ู€ indexุŒ ุงู„ู€ index ุชู…ุงู…ุŒ ุงู„ู„ูŠ ู‡ูˆ ุตูุฑุŒ ูˆุงุญุฏุŒ
272
+
273
+ 69
274
+ 00:05:32,710 --> 00:05:38,490
275
+ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ to nุŒ ู‡ุฐุง ุงู„ู€ indexุŒ okayุŒ generalized
276
+
277
+ 70
278
+ 00:05:38,490 --> 00:05:42,030
279
+ summationsุŒ ู…ู…ูƒู† ุฃู‚ูˆู„ ุฃู†ู‘ู‡ ู…ู…ูƒู† ู‚ุฏ ูŠูƒูˆู† ููŠ ุจุนุถ
280
+
281
+ 71
282
+ 00:05:42,030 --> 00:05:45,670
283
+ ุงู„ุฃุญูˆุงู„ ููŠ ุนู†ุฏูŠ infinite sequenceุŒ ุขู‡ุŒ ู…ู…ูƒู† ูŠูƒูˆู† ููŠ
284
+
285
+ 72
286
+ 00:05:45,670 --> 00:05:48,450
287
+ ุนู†ุฏูŠ infinite sequence ูˆุจู†ู‡ุง ุนู„ูŠู‡ุŒ ุจุฏู‘ูŠ ุฃุฌูŠุจ ุงู„ู€
288
+
289
+ 73
290
+ 00:05:48,450 --> 00:05:51,780
291
+ summation ู„ู„ู€ infinite sequenceุŒ ู…ู…ูƒู†ุŒ ู‚ุฏ ูŠูƒูˆู† ุชุนู…ู„ู‡
292
+
293
+ 74
294
+ 00:05:51,780 --> 00:05:55,360
295
+ ููŠ ุงู„ุขุฎุฑ limitุŒ ู‚ุฏ ูŠูƒูˆู† ุชุนู…ู„ู‡ ุฃู†ู‘ู‡ ูŠู‚ูˆู„ ู„ู€ infinityุŒ
296
+
297
+ 75
298
+ 00:05:55,360 --> 00:05:58,740
299
+ ู‚ุฏ ุชุนู…ู„ู‡ ุฃู†ู‘ู‡ ูŠู‚ูˆู„ ู„ูƒุŒ ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ุชุนู…ู„ู‡ ุจุดูƒู„
300
+
301
+ 76
302
+ 00:05:58,740 --> 00:06:05,240
303
+ limit ูˆูŠุทู„ุน ู„ู„ู‚ูŠู…ุฉุŒ ูˆุทู„ุน ู„ู„ู‚ูŠู…ุฉุŒ ุจู†ูƒุชุจู‡ุง ุจุงู„ุตูŠุบุฉ j
304
+
305
+ 77
306
+ 00:06:05,240 --> 00:06:11,260
307
+ ุฒูŠ ู…ุง ู‡ูŠ jุŒ ู„ูƒู† ุงู„ู€ kุŒ ู…ุฏุงู… infiniteุŒ to infinityุŒ ุงู„ู€ k
308
+
309
+ 78
310
+ 00:06:11,260 --> 00:06:15,900
311
+ ู…ุงู„ู‡ุงุด limitุŒ ุฎู„ุงุตุŒ to infinityุŒ ู„ู†ูุณ ุงู„ุนู†ุตุฑ ู‡ูˆ ู‡ูˆุŒ ูˆ
312
+
313
+ 79
314
+ 00:06:15,900 --> 00:06:20,400
315
+ ู‡ู†ุง ellipsesุŒ ูˆุจู†ูˆู‚ูุด ููŠ ุขุฎุฑู‡ุŒ ุฎู„ุงุต ุงู„ู€ ellipses ุจุชุธู„ู‘ ..
316
+
317
+ 80
318
+ 00:06:20,400 --> 00:06:25,080
319
+ ุงู„ู€ ellipses ุจุชุธู„ู‘ ุดุบู‘ุงู„ุฉุŒ ุทูŠุจุŒ ู…ู…ูƒู† ุงู„ู€ summation ู†ุชุนุงู…ู„
320
+
321
+ 81
322
+ 00:06:25,080 --> 00:06:28,680
323
+ ู…ุนุงู‡ุง ูˆู†ุณุชุจุฏู„ู‡ุง ุจุญุงุฌุฉ ุงุณู…ู‡ุง summation functionุŒ
324
+
325
+ 82
326
+ 00:06:28,680 --> 00:06:32,140
327
+ ุจู…ุนู†ู‰ ุฃู†ู‘ู‡ ุงู„ุนู†ุตุฑ ู†ูุณู‡ ู‡ุฐุง ุฃุชุนุงู…ู„ ู…ุนุงู‡ ุฃู†ู‘ู‡ functionุŒ
328
+
329
+ 83
330
+ 00:06:32,140 --> 00:06:36,140
331
+ ู‡ู†ุงุฎุฏ ุนุฏุฉ ุฃู…ุซู„ุฉุŒ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุนู‡ุงุŒ ุงู„ู€ summation ู„ู€
332
+
333
+ 84
334
+ 00:06:36,140 --> 00:06:41,200
335
+ functionุŒ ุฒูŠ to sum a function over all members of
336
+
337
+ 85
338
+ 00:06:41,200 --> 00:06:46,040
339
+ a setุŒ X ุงู„ูƒุจูŠ๏ฟฝ๏ฟฝุฉุŒ ู…ุซู„ุงู‹ุŒ ูŠุนู†ูŠ ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ุฃู†ู‘ู‡ ุนู†ุฏูƒ set
340
+
341
+ 86
342
+ 00:06:47,310 --> 00:06:52,330
343
+ ูˆุฎู„ุงุตุŒ ุงู„ู€ set ู‡ุฐู‡ ู„ู‡ุง indexุŒ ู„ูƒู† ู…ุด ุถุฑูˆุฑูŠ ูŠูƒูˆู† ู…ุฑุชู‘ุจุŒ
344
+
345
+ 87
346
+ 00:06:52,330 --> 00:06:57,350
347
+ ู…ุด ุถุฑูˆุฑูŠ .. ู…ุฏุงู… ุญูƒูŠุช setุŒ ุชู‚ูˆู‰ ู„ู…ุง ุนุฑูู†ุงู‡ุง ููŠ ุงู„ู€
348
+
349
+ 88
350
+ 00:06:57,350 --> 00:07:01,230
351
+ slide ุงู„ู„ูŠ ูุงุชุŒ ู‚ู„ู†ุง seriesุŒ ูˆุนุฑูู†ุง ุฃู†ู‘ ุงู„ู€ series
352
+
353
+ 89
354
+ 00:07:01,230 --> 00:07:08,530
355
+ ู‡ู†ุง ุฌุงู„ูŠ setุŒ setุŒ ูˆุจุฏู†ุง ู†ุฌู…ุน ุนู†ุงุตุฑ ุงู„ู€ setุŒ ุจุบุถู‘ ุงู„ู†ุธุฑ
356
+
357
+ 90
358
+ 00:07:08,530 --> 00:07:14,470
359
+ ุชุฑุชูŠุจู‡ู… ูƒูŠูุŸ ูู‡ู†ุง ุจุชู‚ูˆู„ summation ู„ู€ f(x)ุŒ ูˆ x
360
+
361
+ 91
362
+ 00:07:14,470 --> 00:07:19,480
363
+ belong to X ุงู„ูƒุจูŠุฑุฉุŒ ูˆ ุฎู„ุงุตุŒ ู…ูŠู† ุฅุฌุช ู‚ุจู„ ุงู„ู€ x ุงู„ู„ูŠ ุฌุงุจู‡ุงุŒ
364
+
365
+ 92
366
+ 00:07:19,480 --> 00:07:23,460
367
+ ุงู„ุชุงู†ูŠุฉ ู…ุง ุจุชูุฑู‚ุด ู…ุนุงู‡ุŒ x belong to X ุงู„ูƒุจูŠุฑุฉุŒ ุฎู„ุงุตุŒ
368
+
369
+ 93
370
+ 00:07:23,460 --> 00:07:27,780
371
+ ู…ูŠู† ุฅุฌุช ู‚ุจู„ ู…ูŠู†ุŒ ุงู„ู…ู‡ู… ุฃู†ู‘ู‡ ูƒู„ ุงู„ุนู†ุงุตุฑ ุจุชุชุฌู…ุน ู…ุน
372
+
373
+ 94
374
+ 00:07:27,780 --> 00:07:32,060
375
+ ุจุนุถุŒ ูˆุฎู„ุงุตุŒ ูู‡ุฐู‡ ูƒุฃู†ู‘ู‡ f(x<sub>1</sub>)ุŒ f(x<sub>2</sub>)ุŒ ูˆุงุญุฏ
376
+
377
+ 95
378
+ 00:07:32,060 --> 00:07:36,800
379
+ ูŠู‚ูˆู„ ู„ูŠ f(x<sub>2</sub>) ุฒูŠ f(x<sub>1</sub>)ุŒ okayุŒ ู…ุงุดูŠุŒ ูู„ูŠูƒู†
380
+
381
+ 96
382
+ 00:07:36,800 --> 00:07:42,930
383
+ ู‡ูŠ unorderedุŒ ู‡ูŠ ู…ุด ู…ุฑุชู‘ุจุฉุŒ ุชู…ุงู…ุŒ ุฃูˆ ู…ู…ูƒู† ู†ู‚ูˆู„ู‡ุงุŒ ุฅุฐุง
384
+
385
+ 97
386
+ 00:07:42,930 --> 00:07:50,590
387
+ ูƒุงู† XุŒ ุงู„ู€ set X ู‡ูŠ ุนุจุงุฑุฉ ุนู† set of elementsุŒ ูˆูƒู„ู‘
388
+
389
+ 98
390
+ 00:07:50,590 --> 00:07:56,730
391
+ element x such that p(x)ุŒ ุจู…ุนู†ู‰ ุฃู†ู‘ู‡ ู‡ุฐู‡ ู…ุฌู…ูˆุนุฉ
392
+
393
+ 99
394
+ 00:07:56,730 --> 00:08:03,490
395
+ ุงู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ุจุชุญู‚ู‘ู‚ ุงู„ู…ุนุงุฏู„ุฉ p(x)ุŒ ู…ุฌู…ูˆุนุฉ ุงู„ุนู†ุงุตุฑ
396
+
397
+ 100
398
+ 00:08:03,490 --> 00:08:06,990
399
+ ุงู„ู„ูŠ ุจุชุญู‚ู‘ู‚ ู…ุนุงุฏู„ุฉ p(x)ุŒ ุฃูˆ predicate p(x)ุŒ ู…ุซู„ุงู‹ุŒ
400
+
401
+ 101
402
+ 00:08:06,990 --> 00:08:12,380
403
+ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู‡ู†ุงุŒ ุจู†ูƒุชุจู‡ุง ูƒุงู„ุชุงู„ูŠุŒ summation of p(x)ุŒ
404
+
405
+ 102
406
+ 00:08:12,380 --> 00:08:17,620
407
+ ูŠุนู†ูŠ summation ู„ู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ุจุชุญู‚ู‘ู‚ ุงู„ู€ function p of
408
+
409
+ 103
410
+ 00:08:17,620 --> 00:08:21,740
411
+ xุŒ ุฎู„ุงุตุŒ ู„ู„ู€ f(x)ุŒ ุฎู„ู‘ุตู†ุงุŒ ุจู†ูƒุชุจู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ููƒุฃู†ูŠ
412
+
413
+ 104
414
+ 00:08:21,740 --> 00:08:25,680
415
+ ุจุฑุถู‡ ุจุฑุฌุน f(x<sub>1</sub>)ุŒ x<sub>2</sub>ุŒ x<sub>3</sub>ุŒ ุงู„ู„ูŠ ู‡ู… ุงู„ู„ูŠ
416
+
417
+ 105
418
+ 00:08:25,680 --> 00:08:31,610
419
+ ุจูŠุญู‚ู‘ู‚ูˆุงุŒ ุจูŠุญู‚ู‘ู‚ูˆุง ุงู„ุดุฑุท ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ p(x)ุŒ ููƒู„ู‘ ุนู†ุตุฑ
420
+
421
+ 106
422
+ 00:08:31,610 --> 00:08:34,870
423
+ ุจูŠุญู‚ู‘ู‚ p(x)ุŒ ู‡ู‚ูˆู„ ูŠุง ู‡ุฐุง x<sub>1</sub>ุŒ ุงู„ู„ูŠ ูˆุฑุงู‡ ุญู‚ู‘ู‚ x<sub>
424
+
425
+ 107
426
+ 00:08:34,870 --> 00:08:39,230
427
+ 2</sub>ุŒ ุจุบุถู‘ ุงู„ู†ุธุฑ ุชุฑุชูŠุจู‡ู…ุŒ ูƒู…ุงู† ุจุบุถู‘ ุงู„ู†ุธุฑ ูƒูŠู ุชุฑุชูŠุจู‡ู…ุŒ
428
+
429
+ 108
430
+ 00:08:39,230 --> 00:08:46,370
431
+ ู…ุซุงู„ุŒ ู…ุซุงู„ ูˆุงุถุญุŒ ุจุณ ุณุฑูŠุนุŒ ู†ุดุทู‘ ุญุงู„ู†ุง ููŠ ุงู„ู…ูˆุถูˆุนุŒ ุงู„ู€
432
+
433
+ 109
434
+ 00:08:46,370 --> 00:08:50,050
435
+ summationุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ summation from two to
436
+
437
+ 110
438
+ 00:08:50,050 --> 00:08:55,630
439
+ fourุŒ ูุฃู†ุง ุจู‚ูˆู„ ู‡ู†ุง ุงู„ู€ index iุŒ ุงู„ุงู†ุฏูƒุณ iุŒ ุงู„ู€ lower
440
+
441
+ 111
442
+ 00:08:55,630 --> 00:09:02,670
443
+ bound ุงุซู†ูŠู†ุŒ ุงู„ู€ upper bound ุฃุฑุจุนุฉุŒ ุงู„ู€ function i
444
+
445
+ 112
446
+ 00:09:02,670 --> 00:09:06,670
447
+ ุชุฑุจูŠุน + ูˆุงุญุฏุŒ ุงู„ู€ function ู‡ู†ุง i ุชุฑุจูŠุน + ูˆุงุญุฏุŒ
448
+
449
+ 113
450
+ 00:09:06,670 --> 00:09:10,590
451
+ ุจุญูŠุซ ุฃู†ู‘ู‡ ู„ู…ุง ุจุฏู‘ูŠ ุขุฌูŠ ุฃุนูˆู‘ุถุŒ ุจู†ุนูˆู‘ุถ element by elementุŒ
452
+
453
+ 114
454
+ 00:09:10,590 --> 00:09:15,950
455
+ ูุจุจุฏุฃ ู…ู† jุŒ ุงู„ุนู†ุตุฑ
456
+
457
+ 115
458
+ 00:09:15,950 --> 00:09:19,010
459
+ iุŒ ุจุจุฏุฃ ู…ู† ุงุซู†ูŠู†ุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ jุŒ ู‚ูŠู…ุฉ ุงู„ู€ j ูุนู„ูŠุงู‹ุŒ ูู‡ู†ุง
460
+
461
+ 116
462
+ 00:09:19,010 --> 00:09:26,540
463
+ ูƒุฃู†ู‘ู‡ j = 2ุŒ ูˆู‡ู†ุง ูƒุฃู†ู‘ู‡ k = 4ุŒ ู‡ู†ุจุชุฏุฃ
464
+
465
+ 117
466
+ 00:09:26,540 --> 00:09:30,760
467
+ ุจู€ i = 2ุŒ ุงู„ู„ูŠ ู‡ูŠ ุชู…ุซู‘ู„ ู‚ูŠู…ุฉ ุงู„ู€ jุŒ ูˆู‡ูŠ
468
+
469
+ 118
470
+ 00:09:30,760 --> 00:09:36,500
471
+ ุนูˆู‘ุถู†ุงุŒ ุทูŠุจ ุงู„ู„ูŠ ูˆุฑุงู‡ุง ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุขู‡ุŒ ูˆุตู„ู†ุง ุงู„ู€ upper
472
+
473
+ 119
474
+ 00:09:36,500 --> 00:09:41,200
475
+ ูˆู‚ู ุนู†ุฏ ุงู„ุฃุฑุจุนุฉุŒ ุฎู„ุงุตุŒ ุงุซู†ูŠู† ูˆุซู„ุงุซุฉ ูˆุฃุฑุจุนุฉุŒ ุจู†ุฌู…ุน
476
+
477
+ 120
478
+ 00:09:41,200 --> 00:09:43,480
479
+ ุทุจุนุงู‹ ู„ุงุญุธ ุฃู†ู‘ ุงุญู†ุง ุจู†ุฌู…ุน ุงู„ู€ function ูƒู„ู‘ู‡ุงุŒ ุงู„ู€
480
+
481
+ 121
482
+ 00:09:43,480 --> 00:09:47,610
483
+ function ูƒู„ู‘ู‡ุง ูƒุงู…ู„ุฉ ู…ุน ุจุนุถุŒ ู…ุด ุจุชุดุชุบู„ ุนู„ู‰ ุงู„ู€ i
484
+
485
+ 122
486
+ 00:09:47,610 --> 00:09:51,330
487
+ ู„ู„ุชู‘ุฑุจูŠุฉ ู„ุญุงู„ู‡ุงุŒ ูˆุจุนุฏูŠู† ุชุถูŠู ู„ู…ุฑุฉ ูˆุงุญุฏุฉ ุงู„ูˆุงุญุฏุŒ ูƒู„ู‘
488
+
489
+ 123
490
+ 00:09:51,330 --> 00:09:55,010
491
+ ุนู„ู‰ ุจุนุถุŒ function ูƒุงู…ู„ุฉุŒ ุนุดุงู† ู‡ูŠูƒ ู‚ู„ุช ู„ูƒู… ูƒุงู…ู„ุฉ ุนู„ู‰
492
+
493
+ 124
494
+ 00:09:55,010 --> 00:09:59,250
495
+ ุจุนุถู‡ุงุŒ function ู‡ูŠ ูƒุงู…ู„ุฉ ูƒุงู…ู„ุฉ ูƒุงู…ู„ุฉุŒ ุฎู„ู‘ุตู†ุงุŒ ุจุนุฏู‡ุง
496
+
497
+ 125
498
+ 00:09:59,250 --> 00:10:04,370
499
+ ุตุงุฑุช ุนู…ู„ูŠุฉ ุญุณุงุจูŠุฉ ู„ุง ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ู‘ุŒ ู…ูˆุถูˆุน ุจุณูŠุท ูƒุชูŠุฑุŒ
500
+
501
+ 126
502
+ 00:10:04,370 --> 00:10:10,100
503
+ ูˆู…ุฑู‘ ุนู„ูŠูƒู… ุฃูƒูŠุฏ ู…ู† ุฒู…ุงู†ุŒ ุชู…ุงู…ุŒ ู…ุงุฒู„ู†ุง ููŠ ุงู„ู€ infinite
504
+
505
+ 127
506
+ 00:10:10,100 --> 00:10:12,980
507
+ seriesุŒ ุง๏ฟฝ๏ฟฝู€ infinite seriesุŒ ุญุชู„ุงู‚ูŠ ุฃู†ู‘ ุจุนุถ ุงู„ู€
508
+
509
+ 128
510
+ 00:10:12,980 --> 00:10:17,500
511
+ summationsุŒ ุฒูŠ ู…ุซู„ุงู‹ summation 2<sup>-i</sup>ุŒ
512
+
513
+ 129
514
+ 00:10:17,500 --> 00:10:22,480
515
+ to the power -iุŒ from zero to infinityุŒ
516
+
517
+ 130
518
+ 00:10:24,120 --> 00:10:27,820
519
+ ู„ูˆ ุฌูŠู†ุง ุนูˆู‘ุถู†ุง ุจู‚ู‰ ูƒู… ู…ู† term ููŠ ุงู„ุจุฏุงูŠุฉุŒ as a
520
+
521
+ 131
522
+ 00:10:27,820 --> 00:10:33,300
523
+ sequenceุŒ ุฎู„ู‘ูŠู†ูŠ ุฃูุชุฑุถ ุจุฏู‘ูŠ ุฃุนูˆู‘ุถ ุจุงู„ุตูุฑุŒ ูู‡ุฐุง ุญุชุทู„ุน
524
+
525
+ 132
526
+ 00:10:33,300 --> 00:10:35,980
527
+ ุงุซู†ูŠู† to the power of zeroุŒ + ุงุซู†ูŠู† to the power
528
+
529
+ 133
530
+ 00:10:35,980 --> 00:10:38,420
531
+ of minus oneุŒ ุงุซู†ูŠู† to the power of minus twoุŒ ุนุดุงู†
532
+
533
+ 134
534
+ 00:10:38,420 --> 00:10:42,440
535
+ ุฃุดูˆู ุดูƒู„ ุงู„ู€ behavior ู„ู„ู€ seriesุŒ ูƒูŠู ุดูƒู„ู‡ุงุŒ ูˆู…ู…ูƒู†
536
+
537
+ 135
538
+ 00:10:42,440 --> 00:10:46,200
539
+ ุชุนุทูŠู†ุง ุฃูŠู‘ ุญู‚ู‘ ู„ู„ุฌู…ุนุŒ ูˆูŠู† ุจุฏู‘ู‡ ูŠุฑูˆุญุŒ ูƒูŠู ุจู†ุง ู†ุนู…ู„ ุชุฌู…ูŠุนุŒ
540
+
541
+ 136
542
+ 00:10:46,200 --> 00:10:52,790
543
+ ูู‡ุฐู‡ ุญุชุณุงูˆูŠ ูˆุงุญุฏุŒ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ู†ุตุŒ ูƒุฃู†ู‘ูƒ ุจุชุฌูŠุจู‡ุงุŒ
544
+
545
+ 137
546
+ 00:10:52,790 --> 00:10:56,230
547
+ ู…ุฏุงู… ููŠ minus ู‡ู†ุงุŒ ูƒุฃู†ู‘ูƒ ุจุชุนูƒุณุŒ ุจุชุฌูŠุจ ูˆุงุญุฏ ุนู„ู‰ ุงุซู†ูŠู†ุŒ
548
+
549
+ 138
550
+ 00:10:56,230 --> 00:11:00,050
551
+ ูˆุงุญุฏ ุนู„ู‰ ุฃุฑุจุนุฉุŒ ูˆุงุญุฏ ุนู„ู‰ ุซู…ุงู†ูŠุฉุŒ ูˆุงุญุฏ ุนู„ู‰ ุณุชู‘ุฉ ุนุดุฑุŒ ูˆุงุญุฏ
552
+
553
+ 139
554
+ 00:11:00,050 --> 00:11:05,730
555
+ ุนู„ู‰ ุงุซู†ูŠู† ูˆุซู„ุงุซูŠู†ุŒ ู„ุงุญุธ ุนู†ุฏูƒ ูˆุงุญุฏุŒ ุนุดุงู† ุชุตู„ ู„ู„ุงุซู†ูŠู†ุŒ
556
+
557
+ 140
558
+ 00:11:05,730 --> 00:11:10,730
559
+ ู…ุญุชุงุฌ ูˆุงุญุฏ ูƒุงู…ู„ุŒ ุฃุฎุฐ ู†ุตู‘ู‡ุŒ ูุตุงุฑ ุงู„ู…ุฌู…ูˆุนุฉ ูˆุงุญุฏ ูˆู†ุตู‘ุŒ
560
+
561
+ 141
562
+ 00:11:10,730 --> 00:11:15,390
563
+ ุฌูŠุฏุŒ ุถุงูŠู„ ุงู„ู†ุตุŒ ุงู„ู†ุตู‘ุŒ ู‡ุงุฎุฏ ู†ุตู‘ู‡ุŒ ู…ุนู†ุงุชู‡ ุถุงูŠู„ ุงู„ู†ุตู‘
564
+
565
+ 142
566
+ 00:11:15,390 --> 00:11:19,530
567
+ ุงู„ุซุงู†ูŠุŒ ุทูŠุจุŒ ุงู„ู†ุตู‘ ุงู„ุซุงู†ูŠ ู‡ุงุฎุฏ ู†ุตู‘ู‡ุŒ ูˆุงุญุฏ ุนู„ู‰ ุซู…ุงู†ูŠุฉุŒ
568
+
569
+ 143
570
+ 00:11:20,500 --> 00:11:24,240
571
+ ุงู„ูˆุงุญุฏ ุนู„ู‰ ุซู…ุงู†ูŠุฉ ู‡ุงุฎุฏ ู†ุตู‘ู‡ุŒ ูˆุงุญุฏ ุนู„ู‰ ุณุชู‘ุฉ ุนุดุฑุŒ ุจุณู‘
572
+
573
+ 144
574
+ 00:11:24,240 --> 00:11:29,940
575
+ for infinityุŒ ุญุชูƒู…ู„ ุจุชุตู„ ู„ู„ุงุซู†ูŠู†ุŒ for infinity ุญุชูƒู…ู„
576
+
577
+ 145
578
+ 00:11:29,940 --> 00:11:33,480
579
+ ู…ุนูƒ ู„ู„ุงุซู†ูŠู†ุŒ ูุนุดุงู† ู‡ูŠ ูƒูˆูŠุณุฉ ุฅู†ู‘ูƒ ุจุชุนู…ู„ุŒ ุฃูƒู…ู„
580
+
581
+ 146
582
+ 00:11:33,480 --> 00:11:35,860
583
+ element ููŠ ุงู„ุจุฏุงูŠุฉุŒ ุจุชุดูˆู behavior ุจุชุงุนุฉ ุงู„ู€
584
+
585
+ 147
586
+ 00:11:35,860 --> 00:11:40,170
587
+ summationุŒ ูƒูŠู ุฑุงูŠุญุฉุŒ ู„ุงุญุธุชู‡ุง ูƒูŠูุŸ ู‡ุฐุง ูˆุงุญุฏุŒ ุฎู„ุงุตุŒ ูˆุงุญุฏ
588
+
589
+ 148
590
+ 00:11:40,170 --> 00:11:43,850
591
+ ุตุญูŠุญุŒ ุงู„ูƒุงู…ู„ุŒ ุงู„ุจุงู‚ูŠุŒ ู‡ู„ ุจูŠูƒู…ู„ ุงู„ูˆุงุญุฏุŸ ุญุฃุฌุฏ ุฃู†ู‘ู‡ ููŠู‡ ู†ุตู‘
592
+
593
+ 149
594
+ 00:11:43,850 --> 00:11:47,090
595
+ ู…ุญุชุงุฌ ูƒู…ุงู† ู†ุตู‘ุŸ ู„ุฃุŒ ู…ุง ุฃุนุทุงู†ูŠุด ู†ุตู‘ุŒ ุฃุนุทุงู†ูŠ ูƒู…ุงู† ุฑุจุนุŒ
596
+
597
+ 150
598
+ 00:11:47,090 --> 00:11:50,670
599
+ ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ ูƒู…ุงู† ุฑุจุนุŒ ุงู„ู„ูŠ ูˆุฑุงู‡ ู‡ูˆ ู…ุด ุฑุจุนุŒ ู†ุตู‘ ุงู„ุฑุจุนุŒ
600
+
601
+ 151
602
+ 00:11:50,670 --> 00:11:54,210
603
+ ูˆุงุญุฏ ุนู„ู‰ ุซู…ุงู†ูŠุฉุŒ ู„ุณู‡ ู…ุญุชุงุฌ ูƒู…ุงู† ูˆุงุญุฏ ุนู„ู‰
604
+
605
+ 152
606
+ 00:11:54,210 --> 00:11:57,790
607
+ ุซู…ุงู†ูŠุฉุŒ ุงู„ู„ูŠ ูˆุฑุงู‡ุŸ ู„ุฃุŒ ู‡ูˆ ู†ุตู‘ ุงู„ูˆุงุญุฏ ุนู„ู‰ ุซู…ุงู†ูŠุฉุŒ ุฃุนุทุงู†ูŠ
608
+
609
+ 153
610
+ 00:11:57,790 --> 00:12:00,150
611
+ ูˆุงุญุฏ ุนู„ู‰ ุณุชู‘ุฉ ุนุดุฑุŒ ุทุจุŒ ุถุงูŠู„ ุฅูŠุดุŸ ูˆุงุญุฏ ุนู„ู‰ ุณุชู‘ุฉ ุนุดุฑุŒ
612
+
613
+ 154
614
+ 00:12:00,150 --> 00:12:04,370
615
+ ุทุจ ู†ุตู‘ู‡ุŒ ู†ุตู‘ู‡ุŒ ู†ุตู‘ู‡ุŒ ุจุณู‘ ููŠ ุงู„ู€ infinityุŒ ุฅุฐุง ูˆุตู„ู†ุง ูˆู‚ุฏุฑู†ุง
616
+
617
+ 155
618
+ 00:12:04,370 --> 00:12:07,710
619
+ ู†ุซุจุช ุฃู†ู‘ ู†ุตู„ ู„ู‡ุง infinityุŒ ุจู†ูƒูˆู† ุณูƒู‘ุฑู†ุง ุงู„ู€ summationุŒ
620
+
621
+ 156
622
+ 00:12:07,710 --> 00:12:13,590
623
+ ูˆ limit to ุงุซู†ูŠู†ุŒ ุจุตูŠุฑ ู‡ู†ุง ู‚ูŠู…ุชู‡ ุจุงุซู†ูŠู†ุŒ ูุฅุฐุง ู‡ุฐู‡
624
+
625
+ 157
626
+ 00:12:13,590 --> 00:12:15,830
627
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ู€ functions ุงู„ู„ูŠุŒ ุขู‡ุŒ ุฑุบู… ุฃู†ู‘ ู‡ูŠ infiniteุŒ
628
+
629
+ 158
630
+ 00:12:15,830 --> 00:12:22,650
631
+ ุจุณ ู„ู‡ุง ู‚ูŠู…ุฉุŒ ู„ู‡ุง ู‚ูŠู…ุฉ ูˆุงุถุญุฉุŒ ู‚ูŠู…ุชู‡ุง ุจุงูŠู†ุฉุŒ ุชู…ุงู…ุŒ ุทุจุŒ ุญุฏู‘
632
+
633
+ 159
634
+ 00:12:22,650 --> 00:12:26,230
635
+ ู…ู†ูƒู… ู‡ูŠูƒ ูŠุฏู‘ุนูŠ ูŠู‚ูˆู„ ู„ู†ุง ู…ุซู„ุงู‹ ู„ูŠุด ู‡ุฐู‡ ูุนู„ุงู‹ ู„ู‡ุง ู‚ูŠู…ุฉุŒ
636
+
637
+ 160
638
+ 00:12:28,880 --> 00:12:33,680
639
+ ูƒูŠู ุฃุนุฑู ุฅู†ู‘ู‡ุง ู„ู‡ุง ู‚ูŠู…ุฉ ูˆู„ุง ู…ุง ู„ู‡ุงุด ู‚ูŠู…ุฉุŸ ู…ุงุดูŠุŒ ุขู‡ุŒ ุงู„ู€
640
+
641
+ 161
642
+ 00:12:33,680 --> 00:12:38,560
643
+ limit ู„ุงุฒู… ุชุณุงูˆูŠ ุงุซู†ูŠู†ุŒ ุทุจุŒ ุฃูƒุชุจ .. ุฃูƒุชุจ ู„ูƒู… ุฅูŠุงู‡ุงุŒ
644
+
645
+ 162
646
+ 00:12:38,560 --> 00:12:45,540
647
+ ู‡ูˆ ุฃูˆุถุญ ู„ูƒู… ุฅูŠุงู‡ุงุŒ ู‡ู†ุชุนุงู…ู„
648
+
649
+ 163
650
+ 00:12:45,540 --> 00:12:51,600
651
+ ู…ุนู‡ุง ู‡ูŠูƒุŒ ุงู„ู€ function ุจุชุนู…ู„ convergenceุŒ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡
652
+
653
+ 164
654
+ 00:12:51,600 --> 00:12:56,680
655
+ ุจุชุชู„ุงู‚ู‰ ู…ุน ุงู„ุตูุฑ ููŠ ุงู„ู€ infinity
656
+
657
+ 223
658
+ 00:17:24,550 --> 00:17:28,970
659
+ ุฃูƒุซุฑ ู…ู†ู‡ ุงุนู…ู„ splitting ูˆุฎุฐ ุงู„ู€ limit ุงู„ู„ูŠ ุฃู†ุชูŽ
660
+
661
+ 224
662
+ 00:17:28,970 --> 00:17:32,910
663
+ ู…ุญุชุงุฌู‡ ุจุญูŠุซ ูŠุชูู‚ ู…ุน ุงู„ู‚ุงู†ูˆู†ุŒ ุฃู†ุชูŽ ุจุชู‚ุฏุฑ ุนู„ู‰ ุทูˆู„ ุชู†ูุฐ
664
+
665
+ 225
666
+ 00:17:32,910 --> 00:17:37,190
667
+ ุฃูˆ ุชุฌูŠุจ ุงู„ู…ุนุงุฏู„ุฉุŒ ุงู„ุญู„ ุนู„ู‰ ุงู„ุณุฑูŠุนุŒ ููŠู‡ ุจุชุนู…ู„ ูุชุฑุชูŠู†
668
+
669
+ 226
670
+ 00:17:37,190 --> 00:17:43,450
671
+ splitting ูุตู„ู†ุงู‡ุงุŒ ูู‡ูŠ ู…ู† j ุฅู„ู‰ kุŒ ุงู„ู€ splitting ุฃูˆ
672
+
673
+ 227
674
+ 00:17:43,450 --> 00:17:47,870
675
+ ุงู„ุญุฏ ุงู„ู„ูŠ ุจุชุนู…ู„ ุนู†ุฏู‡ ุนู…ู„ูŠุฉ splitting ู„ุงุฒู… ูŠูƒูˆู† ู…ุง
676
+
677
+ 228
678
+ 00:17:47,870 --> 00:17:52,410
679
+ ุจูŠู† ุงู„ู€ j ูˆุงู„ู€ kุŒ ู…ู†ุทู‚ูŠ ุตุญูŠุญุŸ ุฃู†ุง ุนู†ุฏูŠ ู…ุณุงูุฉ ู…ู† ุตูุฑ
680
+
681
+ 229
682
+ 00:17:52,410 --> 00:17:55,430
683
+ ุฅู„ู‰ ุนุดุฑุฉุŒ ุจุฏูŠ ุฃุนู…ู„ splittingุŒ ู…ุง ุญุฏุง ู‡ูŠุฌูŠ ูŠู‚ูˆู„ ุจุฏูŠ ุฃุนู…ู„
684
+
685
+ 230
686
+ 00:17:55,430 --> 00:17:59,100
687
+ splitting ุนุฏุฏ 11ุŒ ุฃูƒูŠุฏ ุจุชูƒูˆู† ู…ุง ุจูŠู† ุงู„ุตูุฑ ูˆุงู„ุนุดุฑุฉ
688
+
689
+ 231
690
+ 00:17:59,100 --> 00:18:02,260
691
+ ุนู†ุฏ ุงู„ุฎู…ุณุฉุŒ ุนู†ุฏ ุงู„ุณุจุนุฉุŒ ุนู†ุฏ ุงู„ุซู…ุงู†ูŠุฉุŒ ุนู†ุฏ ุงู„ุฃุฑุจุนุฉุŒ ุนู†ุฏ
692
+
693
+ 232
694
+ 00:18:02,260 --> 00:18:05,240
695
+ ... okay ุงุนู…ู„ splitting ูˆุฌูŠุจ ู‡ุฐุง ู…ุฌู…ูˆุญู‡ ู„ุญุงู„ู‡ุŒ ูˆ
696
+
697
+ 233
698
+ 00:18:05,240 --> 00:18:08,840
699
+ ุฌูŠุจ ู‡ุฏูˆู„ ู…ุฌู…ูˆุญู‡ ู„ุญุงู„ู‡ุŒ ู…ุง ููŠ ู…ุดูƒู„ุฉุŒ ูุจู†ุนู…ู„ู‡ุง ู„ู€ M ูˆ M
700
+
701
+ 234
702
+ 00:18:08,840 --> 00:18:12,800
703
+ ุงุชูู‚ู†ุง ุฃู† ู‡ูŠ ุจูŠู† ุงู„ู€ I ูˆุงู„ู€ K ุจุญูŠุซ ุฃู† ูŠุตุจุญ ุนู†ุฏูŠ
704
+
705
+ 235
706
+ 00:18:12,800 --> 00:18:19,320
707
+ summation from J to MุŒ ุฎู„ุตู†ุง ู„ุนู†ุฏ MุŒ ุงู„ู„ูŠ ู…ุชุจู‚ูŠ ุฒุงุฆุฏ
708
+
709
+ 236
710
+ 00:18:19,320 --> 00:18:24,170
711
+ ูˆุงุญุฏุŒ ุฅุญู†ุง ุจู†ุชูƒู„ู… discrete ... discrete ุจุงู„ุถุจุทุŒ ู…ุง ุจุนุฏ
712
+
713
+ 237
714
+ 00:18:24,170 --> 00:18:28,330
715
+ ู„ุฃู† ุฅุฐุง ุญุทูŠุชู‡ุง ู…ู† M ู…ุนู†ุงุชู‡ ุงู„ู€ M ุงู†ุฌู…ุน ู…ุฑุชูŠู†ุŒ ู…ู† M
716
+
717
+ 238
718
+ 00:18:28,330 --> 00:18:31,770
719
+ ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูˆุฃู†ุง ุจู†ุชูƒู„ู… ุนู† discreteุŒ ูŠุนู†ูŠ ู…ุฏุงู… ุฎู„ุตุช
720
+
721
+ 239
722
+ 00:18:31,770 --> 00:18:34,690
723
+ ุงู„ู€ M ุจุฑูˆุญ ู„ู€ M ุฒุงุฆุฏ ูˆุงุญุฏุŒ ู…ุง ููŠ ุจูŠู†ู‡ู… ุดูŠุกุŒ ู‡ุฐู‡
724
+
725
+ 240
726
+ 00:18:34,690 --> 00:18:38,230
727
+ discrete ุชู…ุงู…ุŒ it's okayุŒ ูุจู†ูƒูˆู† ุนุงู…ู„ูŠู† ุนู…ู„ูŠุฉ
728
+
729
+ 241
730
+ 00:18:38,230 --> 00:18:43,150
731
+ splitting ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุงุŒ ุงู„ู€ reversal order
732
+
733
+ 242
734
+ 00:18:43,150 --> 00:18:48,830
735
+ reversalุŒ ุฃู†ูƒ ู…ู…ูƒู† ุจุดูˆูŠุฉ ู…ู‡ุงุฑุฉ ุจุฏู„ ู…ุง ุชุฌู…ุน ู…ู†
736
+
737
+ 243
738
+ 00:18:48,830 --> 00:18:54,510
739
+ ุงู„ุฃุตุบุฑ ู„ู„ุฃูƒุจุฑุŒ ุชุฌู…ุน ู…ู† ุงู„ุฃูƒุจุฑ ู„ู„ุฃุตุบุฑุŒ ุจุณ ู‡ูŠ ูƒู„ ุงู„ู„ูŠ
740
+
741
+ 244
742
+ 00:18:54,510 --> 00:18:57,450
743
+ ุจุฏูƒ ุชุนู…ู„ู‡ุŒ ูƒุชุงู„ูŠ: ู‡ุชุนู…ู„ ุฃูˆู„ ุดุบู„ุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ function
744
+
745
+ 245
746
+ 00:18:57,450 --> 00:19:02,670
747
+ ู†ูุณู‡ุง ุจุฏูƒ ุชุนู…ู„ู‡ุง flipุŒ ุชุนูƒุณู‡ุงุŒ ู„ุฃู†ู‡ ุจุชุตูŠุฑ ุงู„ุนุฏ ุจุชุงุนู‡ุง
748
+
749
+ 246
750
+ 00:19:02,670 --> 00:19:07,770
751
+ ุชู†ุงุฒู„ูŠ ู…ุด ุชุตุงุนุฏูŠุŒ ูู‡ุฐู‡ ุชุงุฎุฏ ุจุงู„ูƒ ู…ู†ู‡ุงุŒ ุจุฏู„ ู…ุง ูƒุงู†ุช I
752
+
753
+ 247
754
+ 00:19:07,770 --> 00:19:14,420
755
+ ุจุชุตูŠุฑ minus IุŒ ู‡ุชุตุจุญ minus I ูˆุจุนุฏูŠู† ู‡ุชุญุท ุงู„ู€ upper
756
+
757
+ 248
758
+ 00:19:14,420 --> 00:19:17,520
759
+ ููŠ ุงู„ุฃูˆู„ุŒ ู„ุฃู†ู‡ ุจุฏู‡ ูŠุตูŠุฑ ุงู„ู€ reference ุชุจุนูƒ ู‡ูˆ ุงู„ู€
760
+
761
+ 249
762
+ 00:19:17,520 --> 00:19:23,780
763
+ upperุŒ ุจุฏูƒ ุชุจุฏุฃ ู…ู†ู‡ุŒ ุจุฏูƒ ุชุจุฏุฃ ู…ู†ู‡ุŒ ูˆุงุชุฎู„ูŠู‡ุง ุฒูŠ ู…ุง
764
+
765
+ 250
766
+ 00:19:23,780 --> 00:19:29,080
767
+ ู‡ูŠุŒ ุงู„ู€ lower ุชุทุฑุญู‡ ู…ู† ุงู„ู†ุงุญูŠุชูŠู†ุŒ ุทุฑุญู†ุง ู…ู† ุงู„ู†ุงุญูŠุชูŠู†
768
+
769
+ 251
770
+ 00:19:29,080 --> 00:19:37,180
771
+ ุจุญูŠุซ ุฅู† ู„ูˆ ุนูˆุถู†ุง ุตูุฑ ู‡ูŠ ุตูุฑุŒ ุฌูŠุจู†ุง F of KุŒ ุขุฎุฑ ุนู†ุตุฑ
772
+
773
+ 252
774
+ 00:19:37,180 --> 00:19:45,050
775
+ ูƒุงู† ู‡ู†ุงุŒ ูƒุงู† ุขุฎุฑ ุนู†ุตุฑุŒ ุทูŠุจ ู„ูˆ ุนูˆุถู†ุง ุจุงู„ู€ upper ู…ูƒุงู† ุงู„ู€
776
+
777
+ 253
778
+ 00:19:45,050 --> 00:19:49,490
779
+ JุŒ ู‡ุชู„ุงู‚ูŠ ุฃู† ุงู„ู€ K ู…ุน ุงู„ู€ K ู‡ูŠุฑูˆุญุŒ ูˆู‡ุชุจู‚ู‰ ู„ู„ู€ J ุฃูˆู„
780
+
781
+ 254
782
+ 00:19:49,490 --> 00:19:54,370
783
+ ุนู†ุตุฑ ูƒุงู† ู‡ู†ุงุŒ ูุนูƒุณู†ุงู‡ู…ุŒ ุจุฏู„ ู…ุง ูƒู†ุง ุจู†ุฌู…ุน ู…ู† ุงู„ุฃุตุบุฑ
784
+
785
+ 255
786
+ 00:19:54,370 --> 00:19:58,030
787
+ ู„ู„ุฃูƒุจุฑุŒ ุฃูˆ ู…ู† ุงู„ู€ lower ู„ู„ู€ upperุŒ ุตุฑู†ุง ู†ุฌู…ุน ู…ู† ุงู„ู€
788
+
789
+ 256
790
+ 00:19:58,030 --> 00:20:01,650
791
+ upper ู„ู„ู€ lowerุŒ ู„ูƒู† ุงู„ู€ elements ู‡ูŠ ู‡ูŠ ุงู„ู€ elements
792
+
793
+ 257
794
+ 00:20:01,650 --> 00:20:06,520
795
+ ู‡ูŠ ู‡ูŠูƒุŒ ูƒูˆูŠุณุŒ ุฅูŠุด ููŠู‡ ูƒู…ุงู† ุถุงูŠู„ ู‡ู†ุงุŸ ุถุงูŠู„ ู‡ู†ุงุŒ ุงู‡ ุงู„ู€
796
+
797
+ 258
798
+ 00:20:06,520 --> 00:20:11,160
799
+ groupingุŒ ุฃู† ุฃู†ุง ู…ู…ูƒู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ุฃุนู…ู„ grouping ู„ู„ู€
800
+
801
+ 259
802
+ 00:20:11,160 --> 00:20:15,440
803
+ summation ุจูƒู„ ุจุณุงุทุฉุŒ ูˆุฃุจุณุท ู†ูˆุน ู…ู† ุงู„ุฃู†ูˆุงุนุŒ ุญุฏ ุฃู†ูŠ
804
+
805
+ 260
806
+ 00:20:15,440 --> 00:20:22,520
807
+ ุฃุนู…ู„ู‡ ู…ุซู„ุงู‹ ู„ู„ู€ odd ูˆุงู„ู€ evenุŒ ุฃุฌู…ุน ูƒู„ ุงู„ู€ odd
808
+
809
+ 261
810
+ 00:20:22,520 --> 00:20:27,580
811
+ indicesุŒ ุงู„ู€ index odd ุฃุฌู…ุญู‡ู… ู…ุน ุจุนุถุŒ ูˆุงู„ู€ indices
812
+
813
+ 262
814
+ 00:20:27,580 --> 00:20:33,400
815
+ ุชุจุนุชู‡ even ุฃุฌู…ุญู‡ู… ู…ุน ุจุนุถุŒ ุจูƒู„ ุจุณุงุทุฉุŒ ู…ู† ุตูุฑ ุฅู„ู‰ ุงุชู†ูŠู†
816
+
817
+ 263
818
+ 00:20:33,400 --> 00:20:39,090
819
+ KุŒ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฏูŠ ุฃุนู…ู„ู‡ุง ู„ู€ K ูˆุงุญุฏุฉุŒ ู‡ุนู…ู„ู‡ุง ู„ู€ K
820
+
821
+ 264
822
+ 00:20:39,090 --> 00:20:43,110
823
+ ูˆุงุญุฏุฉุŒ ู…ุด ู‡ุถุทุฑ ุฃุนู…ู„ summation ูƒุชูŠุฑุŒ ู‡ุนู…ู„ ู†ุต ุนู…ู„ูŠุฉ ุงู„ู€
824
+
825
+ 265
826
+ 00:20:43,110 --> 00:20:45,950
827
+ summationุŒ ุจุณ ุจุฏูŠ ุฃูƒูˆู† ุนุงุฑู ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฃู† ุฃู†ุง
828
+
829
+ 266
830
+ 00:20:45,950 --> 00:20:51,600
831
+ ู…ุฏุงู… ุจุนุฏ ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ุจุฏูŠ ุฃุนุฏ ุฒูˆุฌูŠ ุงุชู†ูŠู† ุงุชู†ูŠู†ุŒ ุจุชูƒุชุดู
832
+
833
+ 267
834
+ 00:20:51,600 --> 00:20:55,840
835
+ ุชุนุฏ ุจุณุฑุนุฉุŒ ุฒูŠ ุฃู‚ูˆู„ ู„ูƒ ุงู„ู„ูŠ ุจูŠุนุฏ ุงู„ูู„ูˆุณ ุจุชุดูˆูู‡ ุฃุตู„ุงู‹
836
+
837
+ 268
838
+ 00:20:55,840 --> 00:20:59,540
839
+ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจุŒ ุงู„ู„ูŠ ุจุชุดูˆูู‡ ุจูŠุชุนุฏ ุจุดูƒู„ ุณุฑูŠุนุŒ ู‡ุฐู‡ ุจูƒู„
840
+
841
+ 269
842
+ 00:20:59,540 --> 00:21:02,320
843
+ ุจุณุงุทุฉุŒ ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ู‡ุงุฑุงุช ู…ู…ูƒู† ุงู„ู„ูŠ ุชุณุชุฎุฏู… ููŠ ู‡ูŠูƒ ุญุงู„ุฉ
844
+
845
+ 270
846
+ 00:21:02,320 --> 00:21:05,900
847
+ ุฃู†ูƒ ุจุฏู„ ู…ุง ุชุนุฏู‡ุง ูˆุฑู‚ุฉ ูˆ ูˆุฑู‚ุฉุŒ ุชุนุฏู‡ู… ูˆุฑู‚ุชูŠู† ูˆ ูˆุฑู‚ุชูŠู†
848
+
849
+ 271
850
+ 00:21:05,900 --> 00:21:13,180
851
+ ุนุฏู‡ู… ุชู„ุงุชุฉ ุชู„ุงุชุฉุŒ groupingุŒ ููƒู„ ูˆุฑู‚ุชูŠู† ุจุชุนุฏ ูˆุงุญุฏุŒ ูƒู„
852
+
853
+ 272
854
+ 00:21:13,180 --> 00:21:17,360
855
+ ูˆุฑู‚ุชูŠู† ุจุชุนุฏ ูˆุงุญุฏุŒ ุดูˆู ูƒุฏู‡ ู‡ุชุตูŠุฑ ุฃุณุฑุนุŒ ุฅุฐุง ุนู†ุฏูƒ
856
+
857
+ 273
858
+ 00:21:17,360 --> 00:21:20,360
859
+ ุฅู…ูƒุงู†ูŠุฉ ุชุนุฏ ุฃูƒุซุฑ ู…ู† ู‡ูŠูƒุŒ ุนุฏ ุฃูƒุซุฑ ู…ู† ู‡ูŠูƒุŒ ุจุฏูƒ ุชุนุฏู‡ู…
860
+
861
+ 274
862
+ 00:21:20,360 --> 00:21:23,100
863
+ ุชู„ุงุชุฉ ุชู„ุงุชุฉุŒ ุนุฏู‡ู… ุชู„ุงุชุฉ ุชู„ุงุชุฉุŒ ูˆุฌุฏ ุงู„ุฑู‚ู… ุงู„ู„ูŠ
864
+
865
+ 275
866
+ 00:21:23,100 --> 00:21:28,880
867
+ ุจุชุญุตู„ ุนู„ูŠู‡ุŒ ุงู‚ุณู…ู‡ ุนู„ู‰ ุชู„ุงุชุฉุŒ ูˆุฎู„ุงุต ุฎู„ุตุชุŒ ู‡ูŠ ูƒู„ ุงู„ููƒุฑุฉ
868
+
869
+ 276
870
+ 00:21:28,880 --> 00:21:31,900
871
+ ูƒู„ู‡ุงุŒ ุฃู† ุฃู†ุชูŽ ุฌุฏู‘ูŠุด ุจุชู‚ุฏุฑ ุชุนู…ู„ groupingุŒ ุฌุฏู‘ูŠุด ุจุชู‚ุฏุฑ ุชุนู…ู„
872
+
873
+ 277
874
+ 00:21:31,900 --> 00:21:36,680
875
+ ู†ูุณ ุงู„ููƒุฑุฉ ู‡ูŠู‡ุงุŒ ู…ุง ุจุฏูŠุด ุฃุนู…ู„ summation ูƒุชูŠุฑุŒ ู…ุฏู„ ู…ุง
876
+
877
+ 278
878
+ 00:21:36,680 --> 00:21:40,540
879
+ ุฃุนู…ู„ summation ู„ู€ 2kุŒ ุจุฏูŠ ุฃุนู…ู„ู‡ุง ู„ู€ k ูˆุงุญุฏุฉุŒ ุจุณ ุฃู†ุง
880
+
881
+ 279
882
+ 00:21:40,540 --> 00:21:45,070
883
+ ุนุงุฑู ุฅู†ูŠ ุจุนุฏูŠ 2ุŒ 2ุŒ ุจุงุฎุฏ ุงุชู†ูŠู† ุงุชู†ูŠู†ุŒ ูˆ ูˆุฑู‚ุชูŠู† ูˆุจุนุฏูŠู†
884
+
885
+ 280
886
+ 00:21:45,070 --> 00:21:50,610
887
+ ู…ุฑุฉุŒ ูู‡ูŠ ู…ู† ุตูุฑ ุฅู„ู‰ K ูˆุงุญุฏุฉุŒ ุจุณ ุฃู†ุง ุนุงุฑู ุฃู† ู…ุฑุฉ ุงุชู†ูŠู†
888
+
889
+ 281
890
+ 00:21:50,610 --> 00:22:00,110
891
+ IุŒ ุงู„ู€ evenุŒ ูˆ2I ุฒุงุฆุฏ ูˆุงุญุฏ ุงู„ู€ oddุŒ ุจุณ ูุฌู…ุนู†ุง two
892
+
893
+ 282
894
+ 00:22:00,110 --> 00:22:04,310
895
+ ู…ุน ุจุนุถุŒ ู„ุงุญุธุช ุงู„ููƒุฑุฉ ูƒูŠู ุจุชุตูŠุฑุŸ ูู‡ูŠ ุนู…ู„ูŠุฉ grouping
896
+
897
+ 283
898
+ 00:22:04,310 --> 00:22:09,780
899
+ ุนู…ู„ูŠุฉ groupingุŒ ุทูŠุจ ู†ุจุฏุฃ ู†ุดูˆู ุจุนุถ ุงู„ู€ submissions
900
+
901
+ 284
902
+ 00:22:09,780 --> 00:22:14,920
903
+ ุงู„ู…ู‡ู…ุฉุŒ ูŠู…ูƒู† Leonhard Euler ูƒุงู† ุฃูˆู„ ูˆุงุญุฏ ุฌุงุจ ู„ู†ุง
904
+
905
+ 285
906
+ 00:22:14,920 --> 00:22:18,220
907
+ ุฅูŠุงู‡ ูˆูƒุงู† ุนู…ุฑู‡ ุฅุซู†ุง ุนุดุฑ ุณู†ุฉุŒ ูŠุนู†ูŠ ู†ุชูƒู„ู… ููŠ ูˆุงุญุฏ ููˆู‚
908
+
909
+ 286
910
+ 00:22:18,220 --> 00:22:24,040
911
+ ุงู„ุฃุนุฏุงุฏ ู…ุซู„ุงู‹ุŒ ูŠุนู†ูŠ ุงู„ููƒุฑุฉ ูƒุงู† ุฅู†ู‡ ู‡ูˆ ู…ุนุงู‚ุจุŒ ูˆุฑูˆุญ ู‚ุฏู‘ู„
912
+
913
+ 287
914
+ 00:22:24,040 --> 00:22:27,200
915
+ ุงู„ุฃุนุฏุงุฏ ู…ู† ูˆุงุญุฏ ู„ู…ุฆุฉุŒ ุงุฑุฌุน ูˆุฑุง ูˆู‚ุฏู‘ ุงู„ุฃุนุฏุงุฏ ู…ู† ูˆุงุญุฏ
916
+
917
+ 288
918
+ 00:22:27,200 --> 00:22:31,060
919
+ ู„ู…ุฆุฉุŒ ุนู…ู„ ุดุบุจ ู„ู„ู…ุนู„ู…ุฉุŒ ุงุฑุฌุน ู„ูŠู†ูƒ ุจุนุฏ ุฏู‚ูŠู‚ุฉ ูˆุงุญุฏุฉ
920
+
921
+ 289
922
+ 00:22:31,060 --> 00:22:35,850
923
+ ุงู„ู„ูŠ ู‡ูˆ ุฑุงุฌุน ุจูŠู‚ูˆู„ ู„ู‡ุง ุงู„ู†ุชูŠุฌุฉ ูƒุฐุงุŒ ู…ุง ุตุฏู‚ุชุŒ ู‡ุชุดูˆู
924
+
925
+ 290
926
+ 00:22:35,850 --> 00:22:39,550
927
+ ู‡ุชุชุฃูƒุฏุŒ ู†ุดูˆูุŒ ุฃูƒุฏ ุนู„ูŠู‡ุงุŒ ู„ุฃ ุฃู†ุง ู…ุชุฃูƒุฏ ุฅู†ู‡ ุญู„ ุตุญุŒ ุฃุฎุฏูˆู‡ุง
928
+
929
+ 291
930
+ 00:22:39,550 --> 00:22:43,150
931
+ ุนู„ู‰ ุงู„ู…ุฏูŠุฑุŒ ุงู‡ ุงู‡ุŒ ูˆุงู„ู„ู‡ ุตุญุŒ ุทุจ ูƒูŠู ุฌุจุชู‡ุง ุฃู†ุชูŽุŸ ุบุดุดุชู‡ุงุŸ
932
+
933
+ 292
934
+ 00:22:43,150 --> 00:22:46,510
935
+ ู„ุฃ ูˆุงู„ู„ู‡ ู…ุง ุบุดุชุŒ ูˆุงู„ู„ู‡ ู…ุง ุนู…ู„ุชุŒ ุนู…ู„ุชู‡ุง ุจุงู„ุทุฑูŠู‚ุฉ
936
+
937
+ 293
938
+ 00:22:46,510 --> 00:22:49,950
939
+ ุงู„ูู„ุงู†ูŠุฉุŒ ุชู„ูƒ ุงู„ู„ูŠ ู‡ูŠ ุทู„ุนุช ู‚ุงู†ูˆู†ุŒ ูˆุฏู„ ุงุณู…ู‡ุŒ ุนู…ุฑู‡ 12
940
+
941
+ 294
942
+ 00:22:49,950 --> 00:22:55,210
943
+ ุณู†ุฉุŒ ูู€ Euler ู‡ุฐุง ู…ู…ูƒู† ุชุณุชุฎุฏู…ู‡ ุฃู† ุฃู†ุชูŽ ุฒูŠ ู…ุง ุจู‚ูˆู„ ู„ูƒ
944
+
945
+ 295
946
+ 00:22:55,210 --> 00:22:57,770
947
+ ุชุจู‡ุฑ ุนุฒูŠุฒูŠ ุงู„ุนู„ู‘ุงู… ุงู„ู„ูŠ ุฅุญู†ุง ูƒุชุจู†ุงู‡ุŒ ุชุจู‡ุฑ ุฃุตุฏู‚ุงุฆูƒ
948
+
949
+ 296
950
+ 00:22:57,770 --> 00:23:02,850
951
+ ุฃู† ุฃู†ุชูŽ ุจุชุนุฑู ุชุนุฏ ุฃูˆ ุชุฌู…ุน ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑ ู…ุชู„ุงุญู‚ุฉ ูˆุฑุง
952
+
953
+ 297
954
+ 00:23:02,850 --> 00:23:06,850
955
+ ุจุนุถุŒ ุฒูŠ ุชู‚ูˆู„ ู„ูŠ ูˆุงู„ู„ู‡ ุจุฏูŠ ุฃุฌู…ุนุŒ ุฃุฌู…ุน ู„ูƒ ุฅุดุฑุงูƒุŒ ุฃุฌู…ุน ู„ูƒ ู…ู†
956
+
957
+ 298
958
+ 00:23:06,850 --> 00:23:11,650
959
+ ูˆุงุญุฏ ู„ุนุดุฑุฉ ุจุณุฑุนุฉุŒ ู‡ูŠูƒ ุฃุตุญุงุจูƒุŒ ุจูŠู† ุฃุตุญุงุจูƒ ูˆู„ุง ุนู„ู‰ ุฃุฎูˆูƒ
960
+
961
+ 299
962
+ 00:23:11,650 --> 00:23:15,550
963
+ ู…ุน ุฃุฎูˆูƒ ุงู„ุตุบูŠุฑุŒ ุฅุดุฑุงูƒุŒ ุฃุฌู…ุน ู„ูƒ ู…ู† ูˆุงุญุฏ ู„ู…ุฆุฉุŒ ุนู„ู‰ ุงู„ุณุฑูŠุนุŒ
964
+
965
+ 300
966
+ 00:23:15,550 --> 00:23:19,290
967
+ okayุŒ ู†ูุณ ุงู„ููƒุฑุฉ ู‡ุฐู‡ุŒ ู…ู‡ุงุฑุงุช ู‡ุฐู‡ุŒ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ุนู…ู„ู‡ุง
968
+
969
+ 301
970
+ 00:23:19,290 --> 00:23:25,410
971
+ ููƒุฃู†ูƒ ุฃู†ุชูŽ ุจุชู‚ูˆู„ ุจุฏูƒ ุฃุฌู…ุน ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑ ุชุจุฏุฃ ู…ู†
972
+
973
+ 302
974
+ 00:23:25,410 --> 00:23:29,610
975
+ ูˆุงุญุฏ ู„ุฃูŠ ุฑู‚ู… ุจุฏูƒ ุฅูŠุงู‡ุŒ ุชู‚ูˆู„ ู„ูŠ ูˆุงู„ู„ู‡ ุฅุดุฑุงูƒ ุฃุฌู…ุน ู„ูƒ ู…ู†
976
+
977
+ 303
978
+ 00:23:29,610 --> 00:23:34,510
979
+ ูˆุงุญุฏ ู„ู…ุฆุฉุŒ ุจูƒู„ ุจุณุงุทุฉุŒ ุฌุงุจ ู„ู‡ุง formulaุŒ ุงู„ู€ formula ู‡ุฐู‡
980
+
981
+ 304
982
+ 00:23:34,510 --> 00:23:39,350
983
+ ูƒุงู„ุชุงู„ูŠุŒ ู‡ู†ุดูˆูุŒ ู†ุชุฎูŠู„ู‡ุง ุนุดุงู† ู†ุนุฑู ุฅูŠุด ุงู„ู€ formula
984
+
985
+ 305
986
+ 00:23:39,350 --> 00:23:43,270
987
+ ุงู„ู„ูŠ ุธู‡ุฑุช ู…ุนู‡ุŒ ู‡ุชู‚ูˆู„ ูˆุงุญุฏ ุฒุงุฆุฏ ุงุชู†ูŠู† ุฒุงุฆุฏ ุชู„ุงุชุฉ
988
+
989
+ 306
990
+ 00:23:43,270 --> 00:23:48,490
991
+ ุฒุงุฆุฏ ุฃุฑุจุนุฉุŒ ู„ุนู†ุฏ ู…ุง ุชุตู„ ู„ู…ูŠู†ุŸ ู„ุฃู† ู…ู†ุทู‚ูŠุงู‹ ู‡ูŠูƒ ุงู„ู…ู†ุทู‚
992
+
993
+ 307
994
+ 00:23:48,490 --> 00:23:53,610
995
+ ุงู„ู„ูŠ ูŠู‚ูˆู„ ุทูŠุจุŒ ู„ูƒู† ู‡ูˆ ู„ุงุญุธ ุดุบู„ุฉุŒ ู„ุงุญุธ ุฃู†ู‡ ููŠ ุฃุฒูˆุงุฌ
996
+
997
+ 308
998
+ 00:23:53,610 --> 00:24:00,490
999
+ ู…ุชุณุงูˆูŠุฉุŒ ููŠ ุฃุฒูˆุงุฌ ู…ุชุณุงูˆูŠุฉ ูƒุชูŠุฑุŒ ุจูŠู† ุฃู† ุฃู†ุชูŽ ุฃูˆู„ ุนู†ุตุฑ ูˆ
1000
+
1001
+ 309
1002
+ 00:24:00,490 --> 00:24:08,470
1003
+ ุขุฎุฑ ุนู†ุตุฑุŒ ู…ุฌู…ูˆุญู‡ู… N ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุทูŠุจ ุงู„ุซุงู†ูŠ ู…ุน ู…ุง ู‚ุจู„
1004
+
1005
+ 310
1006
+ 00:24:08,470 --> 00:24:15,330
1007
+ ุงู„ุฃุฎูŠุฑุŒ ุทูŠุจ ู„ู…ุง ู†ุตู„ ู„ุนู†ุฏ ุงู„ู…ู†ุชุตูุŒ ู‡ู†ุตู„ ุนู†ุฏ ุงู„ู€ N ุนู„ู‰
1008
+
1009
+ 311
1010
+ 00:24:15,330 --> 00:24:20,430
1011
+ ุงุชู†ูŠู†ุŒ ูˆN ุนู„ู‰ ุงุชู†ูŠู† ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุจุฑุถู‡ ู…ุฌู…ูˆุญู‡ู… N ุฒุงุฆุฏ
1012
+
1013
+ 312
1014
+ 00:24:20,430 --> 00:24:25,030
1015
+ ูˆุงุญุฏุŒ ูุฌู„ู‘ูƒ ุฎู„ุงุตุŒ ู…ุนู†ุงุชู‡ ู‡ูŠ ุงู„ููƒุฑุฉ ูƒู„ู‡ุง ุฃู† ุฃู†ุง ุนู†ุฏูŠ
1016
+
1017
+ 313
1018
+ 00:24:25,030 --> 00:24:29,170
1019
+ ุฃุฒูˆุงุฌ ู…ุฌู…ุนุฉ ุจุชุนุทูŠู†ูŠ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ N ุฒุงุฆุฏ
1020
+
1021
+ 314
1022
+ 00:24:29,170 --> 00:24:36,490
1023
+ ูˆุงุญุฏุŒ ูƒู… ู…ุฑุฉ ูƒุฑุฑุชุŸ N ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุฎู„ุงุต ู…ุนู†ุงุชู‡ N ุฒุงุฆุฏ
1024
+
1025
+ 315
1026
+ 00:24:36,490 --> 00:24:42,730
1027
+ ูˆุงุญุฏ ููŠ N ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุฎู„ุงุต ุฃู†ุง ุนู†ุฏูŠ ู…ุฌู…ูˆุญู‡ู… N ุฒุงุฆุฏ
1028
+
1029
+ 316
1030
+ 00:24:42,730 --> 00:24:46,210
1031
+ ูˆุงุญุฏุŒ ูƒู… ู…ุฑุฉ ูƒุฑุฑุชุŸ N ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุฎู„ุงุต ู…ุนู†ุงุชู‡ N ุนู„ู‰
1032
+
1033
+ 317
1034
+ 00:24:46,210 --> 00:24:51,340
1035
+ ุงุชู†ูŠู† ููŠ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุงู†ุชู‡ู‰ุŒ ุทูŠุจ ู…ุน ุงู„ุชุฑุชูŠุจุŒ N ุนู„ู‰
1036
+
1037
+ 318
1038
+ 00:24:51,340 --> 00:24:57,160
1039
+ ุงุชู†ูŠู† ููŠ n ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุจุชุฑุชูŠุจู‡ ุจุณูŠุทุฉุŒ ุญุทู‡ุง ุจุชุตูŠุฑ N ููŠ
1040
+
1041
+ 319
1042
+ 00:24:57,160 --> 00:25:02,340
1043
+ N ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู†ุŒ ูŠุนู†ูŠ ุจุฏูƒ ุชุฌู…ุน ู…ุฆุฉุŒ ู…ุฆุฉ ููŠ
1044
+
1045
+ 320
1046
+ 00:25:02,340 --> 00:25:06,840
1047
+ ู…ุฆุฉ ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู†ุŒ ู„ุนู†ุฏ ุนุดุฑุฉุŒ ุนุดุฑุฉ ููŠ ุฃุญุฏ ุนุดุฑ ุนู„ู‰
1048
+
1049
+ 321
1050
+ 00:25:06,840 --> 00:25:13,000
1051
+ ุงุชู†ูŠู†ุŒ ุฎู„ุต ุฃู†ุชูŽ ุงู†ุชู‡ู‰ุŒ ูุนุดุฑุฉ ููŠ ุฃุญุฏ ุนุดุฑุŒ ู…ุฆุฉ ูˆุนุดุฑุฉุŒ ู†ุตู‡ุง
1052
+
1053
+ 322
1054
+ 00:25:13,000 --> 00:25:16,420
1055
+ ุฎู…ุณุฉ ูˆุฎู…ุณูŠู†ุŒ ูŠู‚ูˆู„ูˆุง ูŠู„ุง ู‡ูŠ ุนู†ุฏูƒุŒ ุฅูŠู‡ ุงู„ู„ูŠ ุญุงุณุจุŒ ุฃุฌู…ุน
1056
+
1057
+ 323
1058
+ 00:25:16,420 --> 00:25:21,950
1059
+ ู‡ุงู†ูŠ ุฌู…ุนุช ู„ูƒ ุฅูŠุงู‡ู… ููŠ ู„ุญุธุฉุŒ ุชู…ุงู…ุŒ ูู‡ูŠ ุงู„ููƒุฑุฉ ุจูƒู„ ุจุณุงุทุฉ ู‡ูŠ
1060
+
1061
+ 324
1062
+ 00:25:21,950 --> 00:25:25,410
1063
+ ุฃูˆู„ series ุฃูˆ trick ู…ู† ุงู„ู€ tricks ุงู„ู„ูŠ ู‡ู†ุชูƒู„ู… ุนู†ู‡ู…
1064
+
1065
+ 325
1066
+ 00:25:25,410 --> 00:25:30,610
1067
+ ุงู„ูŠูˆู…ุŒ ุฃูˆู„ ูˆุงุญุฏุฉ ู„ู€ EulerุŒ ูˆุงู„ู„ูŠ ุนู…ู„ู‡ุง ุนู…ุฑู‡ ุฅุซู†ุง ุนุดุฑ
1068
+
1069
+ 326
1070
+ 00:25:30,610 --> 00:25:33,270
1071
+ ุณู†ุฉุŒ ูˆุฎู„ุตู‡ุงุŒ ุทูŠุจุŒ ู†ู‚ุทุฉ ุซุงู†ูŠุฉ ู…ู† ุงู„ู€ series ุงู„ู„ูŠ
1072
+
1073
+ 327
1074
+ 00:25:33,270 --> 00:25:39,430
1075
+ ู…ุญุชุงุฌูŠู† ุจุฑุถู‡ ู†ุฌุจ ู„ู‡ุง summation
1076
+
1077
+ 328
1078
+ 00:25:41,060 --> 00:25:44,700
1079
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ Geometric ProgressionุŒ ุนุงุฑููŠู† ู‡ุงู„ู€
1080
+
1081
+ 329
1082
+ 00:25:44,700 --> 00:25:49,940
1083
+ ู…ุชุณู„ุณู„ ุงู„ู‡ู†ุฏุณูŠุฉุŸ ู…ุชุณู„ุณู„ ู‡ู†ุฏุณูŠุŒ ู…ุง ุชุนุชู…ุฏุด ุฃู†ูŠ ุจุฌู…ุน
1084
+
1085
+ 330
1086
+ 00:25:49,940 --> 00:25:55,380
1087
+ ุนู†ุตุฑ ูˆุงุญุฏ ุจูŠู† ูƒู„ element ูˆ ุงู„ุซุงู†ูŠุŒ ู„ุฃุŒ ุจู†ุถุฑุจ ููŠ ุนู†ุตุฑ
1088
+
1089
+ 331
1090
+ 00:25:56,160 --> 00:25:59,680
1091
+ ูƒู„ ู…ุฑุฉุŒ ุจู†ุถุฑุจ ููŠ ุนู†ุตุฑุŒ ุชู…ุงู…ุŒ ุงู„ุนู†ุตุฑ ู‡ูˆ ุงู„ู„ูŠ ุจู†ุถุฑุจ ููŠู‡
1092
+
1093
+ 332
1094
+ 00:25:59,680 --> 00:26:03,300
1095
+ ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู…ุฉ RุŒ ู‚ูŠู…ุฉ RุŒ ูุงู„ู€ summationุŒ ุฅู†ุฏูŠ ูุนู„ุงู‹ ูƒุฃู†ู‡
1096
+
1097
+ 333
1098
+ 00:26:03,300 --> 00:26:06,760
1099
+ ุฃูˆู„ element AุŒ ููŠ ุนู†ุฏูƒ constantุŒ ุนู†ุฏูƒ constant ู…ุนูŠู†
1100
+
1101
+ 334
1102
+ 00:26:06,760 --> 00:26:10,740
1103
+ AุŒ ุชุถุฑุจู‡ ููŠ R ุนุดุงู† ุชุฌูŠุจ ุงู„ู€ element ุงู„ู„ูŠ ูˆุฑุงุก ุงู„ู€
1104
+
1105
+ 335
1106
+ 00:26:10,740 --> 00:26:13,340
1107
+ element ูƒู„ู‡ ุนู„ู‰ ุจุนุถู‡ุŒ ุชุถุฑุจู‡ ููŠ R ุนุดุงู† ุชุฌูŠุจ ุงู„ู€
1108
+
1109
+ 336
1110
+ 00:26:13,340 --> 00:26:16,020
1111
+ element ุงู„ุซุงู„ุซุŒ ุงู„ู€ element ุงู„ุซุงู„ุซุŒ ุชุถุฑุจ ููŠ R ุนุดุงู†
1112
+
1113
+ 337
1114
+ 00:26:16,020 --> 00:26:20,900
1115
+ ุชุฌูŠุจ ุงู„ุฑุงุจุนุŒ ูˆู‡ูƒุฐุงุŒ ูู€ totally ุจุชู‚ุฏุฑ ุชุญุทู‡ ููŠ ู…ุนุงุฏู„ุฉ
1116
+
1117
+ 338
1118
+ 00:26:20,900 --> 00:26:26,650
1119
+ A R to the power KุŒ ุญุณุจ ุฃู†ุชูŽ ุฃูŠ index ูˆุตู„ุช ู„ู„ู€ index
1120
+
1121
+ 339
1122
+ 00:26:26,650 --> 00:26:29,450
1123
+ ุงู„ู„ูŠ ุฃู†ุชูŽ ... ุจุณ ู„ุงุญุธ ู‡ู†ุง ุฃู† ุฃู†ุชูŽ ุจุฏุฃุช ุงู„ู€ index ุชุจุนูƒ
1124
+
1125
+ 340
1126
+ 00:26:29,450 --> 00:26:34,650
1127
+ ุจุงู„ู€ zeroุŒ ุจู…ุนู†ู‰ ... ูˆู‡ุฐุง ู…ู‡ู… ุฌุฏุงู‹ุŒ ุชุฑูƒุฒ ููŠู‡ุงุŒ ู„ุฅู†ู‡
1128
+
1129
+ 341
1130
+ 00:26:34,650 --> 00:26:38,230
1131
+ ู‡ู†ุญุชุงุฌ ุนุงุฏุงู‹ ู‡ู†ุงุŒ ุฃู†ุชูŽ ุจุฏุฃุช ุจู€ R to the power ุตูุฑุŒ ูˆู‡ุฐุง
1132
+
1133
+ 342
1134
+ 00:26:38,230 --> 00:26:43,350
1135
+ R to the power ูˆุงุญุฏุŒ ุฃูˆ ุชุทุจุน ุตูุฑุŒ ุงู„ุจูˆูŠุฉ ู‡ุชุฎู„ุตุŒ ู…ุด
1136
+
1137
+ 343
1138
+ 00:26:43,350 --> 00:26:47,450
1139
+ ูุงุฑู‚ุฉุŒ ู…ุด ู‡ุชูุฑู‚ ูƒุชูŠุฑ ู…ุนุงู†ุงุŒ ุชู…ุงู…ุŒ ูุจู‡ุฐุง ุงู„ุดูƒู„ ูุฃู†ุชูŽ
1140
+
1141
+ 344
1142
+ 00:26:47,450 --> 00:26:51,850
1143
+ ุจุฏุฃ ุงู„ู€ index ุชุจุนูƒ ูุนู„ูŠุงู‹ ู…ู† ุงู„ุตูุฑุŒ ุนุดุงู† ู‡ูŠูƒ ู…ู…ูƒู†
1144
+
1145
+ 345
1146
+ 00:26:51,850 --> 00:26:54,950
1147
+ ู†ู‚ูˆู„ ุณุงุนุชู‡ุง ุงู„ู€ summation ุชุจุนู†ุง ุจูŠุจุฏุฃ ู…ู† zero
1148
+
1149
+ 346
1150
+ 00:27:04,490 --> 00:27:08,350
1151
+ ู…ุนุงู…ู„ ุงู„ุฒูŠุงุฏุฉุŒ ุฃูˆ ู…ุนุงู…ู„ ุงู„ุถุฑุจ ููŠ ุงู„ุขุฎุฑุŒ ู„ุฃู† ูƒู„ ู…ุฑุฉ
1152
+
1153
+ 347
1154
+ 00:27:08,350 --> 00:27:12,710
1155
+ ุจุถุฑุจู‡ุŒ R to the power IุŒ ุจุฏู†ุง ุงู„ู€ summation ู‡ุฐู‡ุŒ ู‚ุฏ ุฅูŠุด
1156
+
1157
+ 348
1158
+ 00:27:12,710 --> 00:27:19,530
1159
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ุŒ ู‡ุงุช ู„ูŠ closed formulaุŒ ุจุฏู†ุง formula ุฒูŠ ุทูˆูŠ
1160
+
1161
+ 349
1162
+ 00:27:19,530 --> 00:27:23,250
1163
+ ุจุฏู„ ู…ุง ุชู‚ูˆู„ ุฌู…ุน ู„ูŠ ู…ู† ูˆุงุญุฏ ู„ู€ NุŒ ุนู„ู‰ ุทูˆู„ ุงุนุทูŠู†ูŠ ู‚ุงู†ูˆู†
1164
+
1165
+ 350
1166
+ 00:27:24,100 --> 00:27:30,840
1167
+ closed formulaุŒ ุญู„ ููŠู‡ ู…ุจุงุดุฑุฉ ุจุดูƒู„ ุณุฑูŠุนุŒ ุจุฏู†ุง ุงู„ุญู„
1168
+
1169
+ 351
1170
+ 00:27:30,840 --> 00:27:34,080
1171
+ ุงู„ุณุฑูŠุน
1172
+
1173
+ 352
1174
+ 00:27:34,080 --> 00:27:34,500
1175
+ ุชุจุนู‡ุง
1176
+
1177
+ 353
1178
+ 00:27:38,740 --> 00:27:41,960
1179
+ ุฃู†ุง ู…ุง ุจููˆุชุด ู…ุนุงู†ุง ุฅุซุจุงุชู‡ุงุŒ ู„ูƒู† ุจุฏู†ุง ู†ุชุนู„ู… ู†ุดูˆู
1180
+
1181
+ 354
1182
+ 00:27:41,960 --> 00:27:45,820
1183
+ ุฅุซุจุงุชู‡ุงุŒ ู‡ู†ุดูˆู ุฅุซุจุงุชู‡ุง ุนุดุงู† ู†ุฌูŠุจ ุงู„ู‚ุงู†ูˆู† ุงู„ู†ู‡ุงุฆูŠุŒ
1184
+
1185
+ 355
1186
+ 00:27:45,820 --> 00:27:48,420
1187
+ ุฃู†ุง ุจู‡ู…ู†ูŠ ุงู„ู‚ุงู†ูˆู† ุงู„ู†ู‡ุงุฆูŠุŒ ู„ุง ูŠู…ู†ุน ุฃู† ุฅุญู†ุง ุจุฏู†ุง
1188
+
1189
+ 356
1190
+ 00:27:48,420 --> 00:27:52,500
1191
+ ู†ุดูˆูู‡ุŒ ู„ูƒู† ุฃู‚ูˆู„ ู„ูƒ ุงุญูุธู‡ุŒ ู…ุด ู…ุทู„ูˆุจ ุญูุธ ุฅุซุจุงุชู‡ ูƒุฅุซุจุงุชุŒ
1192
+
1193
+ 357
1194
+ 00:27:52,500 --> 00:27:55,820
1195
+ ุฑุบู… ุฃู† ู‡ูˆ ุจุณูŠุท ูˆู…ู†ุทู‚ูŠ ุฌุฏุงู‹ุŒ ูˆู‡ู†ุดูˆูู‡ ุงู„ุขู†ุŒ ู‚ุฏ ุฅูŠุด ู‡ูˆ
1196
+
1197
+ 358
1198
+ 00:27:55,820 --> 00:27:59,720
1199
+ ู…ู†ุทู‚ูŠุŒ ุงู„ุขู† ู‡ุชุจุฏุฃ ุจุงู„ู€ summation ุงู„ุฃุตู„ูŠุฉุŒ ู‡ูŠ ุฏู‡ ุงู„ู€
1200
+
1201
+ 359
1202
+ 00:27:59,720 --> 00:28:05,940
1203
+ summation ุฃุณุงุณุงู‹ุŒ ู…ุนุงู…ู„ ุงู„ุฒูŠุงุฏุฉ ูˆุงุญุฏุŒ ูˆู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู†
1204
+
1205
+ 360
1206
+ 00:28:05,940 --> 00:28:08,760
1207
+ ุงู„ู€ strategies ุงู„ู„ูŠ ู‡ู†ุชุนู„ู…ู‡ุง ู„ู‚ุฏุงู…ุŒ ุฃู† ุฃู†ุชูŽ ุฏุงุฆู…ุงู‹
1208
+
1209
+ 361
1210
+ 00:28:08,760 --> 00:28:15,860
1211
+ ุจุชุญุงูˆู„ ุชูุชุฑุถุŒ ุชุฌูŠุจ ุงู„ุนู†ุตุฑ ุงู„ู„ูŠ ุจุนุฏู‡ุงุŒ ุนุดุงู† ุชุดูˆู ู‚ุฏ ุฅูŠุด
1212
+
1213
+ 362
1214
+ 00:28:15,860 --> 00:28:20,200
1215
+ ู…ู‚ุฏุงุฑ ุงู„ุฒูŠุงุฏุฉ ุงู„ู„ูŠ ุตุงุฑุชุŒ ู‡ุฐู‡ ุงู„ู€ strategy ู‡ู†ุงุฎุฏู‡ุง
1216
+
1217
+ 363
1218
+ 00:28:20,200 --> 00:28:25,590
1219
+ ู‚ุฏุงู… ููŠ ุงู„ู€ inductionุŒ ูˆู‡ู†ุนู…ู„ ุนู„ูŠู‡ุง ุฅุซุจุงุชุงุชุŒ ุจุณ ู„ุณู‡
1220
+
1221
+ 364
1222
+ 00:28:25,590 --> 00:28:28,310
1223
+ ุจุฏุฑูŠ ุนู„ูŠู‡ุงุŒ ูŠู…ูƒู† ููŠ ุงู„ู†ุต ุงู„ุซุงู†ูŠ ู…ู† ุงู„ู€ courseุŒ ูƒูˆูŠุณ
1224
+
1225
+ 365
1226
+ 00:28:28,310 --> 00:28:31,610
1227
+ ู‡ู†ุงุฎุฏ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ู€ inductionุŒ ู‡ุชูƒูˆู† ุจุชุนุชู…ุฏ ุนู„ู‰ ู‡ูŠูƒ
1228
+
1229
+ 366
1230
+ 00:28:31,610 --> 00:28:35,710
1231
+ ุฃู† ุฃู†ุง ุฅุฐุง ุฃู†ุง ุนุงุฑู ุฃู† ุงู„ู€ summation ุนู†ุฏ ุงู„ุนู†ุตุฑ
1232
+
1233
+ 367
1234
+ 00:28:35,710 --> 00:28:40,730
1235
+ ุงู„ู„ูŠ ุฃู†ุง ู…ูˆุฌูˆุฏ ููŠู‡ ุฅูŠู‡ุŒ ู‚ูŠู…ุฉ ู…ุญุฏุฏุฉุŒ ุจุฌูŠุจู‡ ุงู„ุนู†ุตุฑ
1236
+
1237
+ 368
1238
+ 00:28:40,730 --> 00:28:44,410
1239
+ ุงู„ู„ูŠ ูˆุฑุงู‡ ุจุฏู„ุงู„ุชู‡ุŒ ุทูŠุจ ุฃู†ุชูŽ ุนุดุงู† ุชุฌูŠุจ ุงู„ุนู†ุตุฑ ุงู„ู„ูŠ
1240
+
1241
+ 369
1242
+ 00:28:44,410 --> 00:28:49,610
1243
+ ุจุนุฏ ู‡ุฐุงุŒ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุถุฑุจ RุŒ ู…ุด ู‡ูŠูƒุŸ ุฅุญู†ุง ุฅูŠุด ุงู„ูุฑู‚
1244
+
1245
+ 370
1246
+ 00:28:49,610 --> 00:28:52,810
1247
+ ุจูŠู† ูƒู„ ุนู†ุตุฑ ูˆ ุงู„ุซุงู†ูŠุŸ ุชุถุฑุจ ูƒู„ ู…ุฑุฉ ููŠ RุŒ ุจุณ ุงุถุฑุจ
1248
+
1249
+ 371
1250
+ 00:28:52,810 --> 00:28:57,100
1251
+ ุงู„ุทุฑููŠู† ููŠ RุŒ ุบูŠุฑู†ุง ุงู„ู…ุนุงุฏู„ุฉุŸ ู…ุง ุบูŠุฑู†ุงุด ุงู„ู…ุนุงุฏู„ุฉุŒ ู‡ูŠ ู‡ูŠ
1252
+
1253
+ 372
1254
+ 00:28:57,100 --> 00:29:00,100
1255
+ ูู‡ุฐู‡ ุงุณุชุฑุงุชูŠุฌูŠุฉ ู‡ู†ุชูƒู„ู… ุนู†ู‡ุง ุจุฑุถู‡ ู„ุงุญู‚ุงู‹ ุฒูŠ ู…ุง
1256
+
1257
+ 373
1258
+ 00:29:00,100 --> 00:29:05,980
1259
+ ู‚ู„ุช ู„ูƒู…ุŒ ู‡ูŠ ุถุฑุจู†ุง ููŠ ุงู„ู€ R ุงู„ุขู†ุŒ ุจุณ ุจุฏู†ุง ู†ุฑุชุจ ุงู„ุฃู…ูˆุฑ
1260
+
1261
+ 374
1262
+ 00:29:05,980 --> 00:29:09,020
1263
+ ุจุนุฏ ู…ุง ู†ุถุฑุจ ููŠ ุงู„ู€ RุŒ ูƒู„ ุงู„ู„ูŠ ุจุงู‚ูŠ ุงู„ุขู† ูƒูŠู ู†ุฑุชุจ
1264
+
1265
+ 375
1266
+ 00:29:09,020 --> 00:29:14,720
1267
+ ุงู„ุฃู…ูˆุฑ ุจุญูŠุซ ุฅู†ู‡ ู…ู† ู‡ู†ุงุŒ ุงู„ู„ูŠ ุฒุงุฏุชุŒ ู‡ุฐู‡ ุงู„ู„ูŠ ุตุงุฑุช N
1268
+
1269
+ 376
1270
+ 00:29:14,720 --> 00:29:21,140
1271
+ ุฒุงุฆุฏ ูˆุงุญุฏุŒ ู‡ูŠูƒ ุชุนุชุจุฑ ู‡ุฐู‡ุŒ ุจุฏูŠ ุฃุฌูŠุจ ู…ู†ู‡ุง ุงู„ู€ S ู†ูุณู‡ุงุŒ ุจุญูŠุซ
1272
+
1273
+ 377
1274
+ 00:29:21,140 --> 00:29:22,840
1275
+ ุฃู†ู‡ ูŠูƒูˆู† ู„ุบุงูŠุฉ ุงู„ู€ summation
1276
+
1277
+ 378
1278
+ 00:29:25,530 --> 00:29:31,470
1279
+ ู„ุงุญุธูˆุง ูƒู€ strategyุŒ ุฃู†ุง ุนู†ุฏูŠ ุนู†ุตุฑ ุฃู†ุง ู…ูˆุฌูˆุฏ ุงู„ุขู† ููŠู‡
1280
+
1281
+ 379
1282
+ 00:29:31,470 --> 00:29:36,370
1283
+ ูˆู‡ุฐุง ุงู„ุนู†ุตุฑ summationุŒ ูˆ ู…ุง ุจุฏูŠุด ุฃุถุญูŠ ุจุงู„ู€ summationุŒ ุจุฏูŠ
1284
+
1285
+ 380
1286
+ 00:29:36,370 --> 00:29:43,330
1287
+ ุฃุฌูŠุจ ุงู„ุนู†ุตุฑ ุงู„ู„ูŠ ูˆุฑุงู‡ ุจุฏู„ุงู„ุชู‡ุŒ ุฌุจู†ุงู‡ ุจุฏู„ุงู„ุชู‡ุŒ ุทู„ุนุช
1288
+
1289
+ 381
1290
+ 00:29:43,330 --> 00:29:47,190
1291
+ ุดูˆูŠุฉ ุฃุฑู‚ุงู…ุŒ ู„ุฃู† ุจุญุงูˆู„ ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„ู€ formula ุงู„ู„ูŠ
1292
+
1293
+ 382
1294
+ 00:29:47,190 --> 00:29:55,620
1295
+ ุธู‡ุฑุช ู„ุฏูŠุŒ ููŠ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุฃุทู„ุน summation ู„ุญุงู„ู‡ุŒ ุจุญูŠุซ
1296
+
1297
+ 383
1298
+ 00:29:55,620 --> 00:29:58,280
1299
+ ุฃู†ู‡ ูŠุฎุชุตุฑ ู…ุน ุงู„ุซุงู†ูŠุŒ ู…ุน ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ุทุฑู
1300
+
1301
+ 384
1302
+ 00:29:58,280 --> 00:30:02,040
1303
+ ุงู„ุซุงู†ูŠุŒ ูุจุชูƒูˆู† ู„ุบุงูŠุฉ ุงู„ู€ summation ู…ู† ุงู„ู…ูˆุถูˆุนุŒ ูˆุถู„ู‘ ash
1304
+
1305
+ 385
1306
+ 0
1307
+
1308
+ 445
1309
+ 00:34:31,830 --> 00:34:37,610
1310
+ ุงู„ู€ N ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฏูŠ ุฃุทู„ุน ุงู„ู€ summation ุชุจุน ุงู„ู€ N ุจุณ
1311
+
1312
+ 446
1313
+ 00:34:37,610 --> 00:34:42,330
1314
+ ุฅุฐุง ุงู„ููƒุฑุฉ ู‡ุฐูŠุŒ ุงู„ู€ strategy ู‡ุฐูŠ ูˆุงุถุญุฉ ุนู†ุฏูƒ ูƒู„ู‘
1315
+
1316
+ 447
1317
+ 00:34:42,330 --> 00:34:46,230
1318
+ ุงู„ุฎุทูˆุงุช ู‡ุฐูŠุŒ ุฃู†ุช ุนุงุฑู ู„ูŠุด ุนู…ู„ู†ุงู‡ุง ุฃุตู„ุงู‹ุŸ ู„ุฃู† ูˆุตู„ุช ุฃู†ุง
1319
+
1320
+ 448
1321
+ 00:34:46,230 --> 00:34:50,450
1322
+ ุฃูˆู„ ุดุบู„ ุจุฏู‡ ูˆุงุญุฏุŒ ุงู„ู€ function ุนู…ู„ู†ุง shift ุจุฏู‡ ูˆุงุญุฏ
1323
+
1324
+ 449
1325
+ 00:34:50,450 --> 00:34:54,970
1326
+ ุงู„ู€ upper ุนู…ู„ู†ุง ุนู…ู„ูŠุฉ ุนูƒุณูŠุฉ ู„ู„ู€ splittingุŒ ุชุนูˆูŠุถ ู„ุขุฎุฑ
1327
+
1328
+ 450
1329
+ 00:34:54,970 --> 00:34:59,690
1330
+ ุนู†ุตุฑุŒ ุจุฏู†ุง ุงู„ู€ lower ุถูู†ุง ุนู†ุตุฑุŒ ูˆู…ุง ุจูŠู†ูุนุด ุฃุถูŠูู‡ ูˆุฃุณูƒุช
1331
+
1332
+ 451
1333
+ 00:34:59,690 --> 00:35:04,870
1334
+ ุถูุชู‡ ูˆุทุฑุญุชู‡ุŒ ู‡ุฐู‡ ุงู„ู…ุนุงู„ุฌุงุช ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ู…
1335
+
1336
+ 452
1337
+ 00:35:04,870 --> 00:35:10,090
1338
+ ู…ุง ุนู…ู„ู†ุงุด ุบูŠุฑู‡ู…ุŒ ูู…ุง ูŠุบุฑูƒุด ุฅู† ุงู„ู„ูŠ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ู‡
1339
+
1340
+ 453
1341
+ 00:35:10,090 --> 00:35:13,210
1342
+ ุฃุฎุฐ ุดูˆูŠุฉ ูˆู‚ุชุŒ ู„ุฃู†ู‡ ุฃู†ุง ุจูุณุฑ ููŠุฒูŠุงุฆูŠุงู‹ ุฏู‡ ุนู† ุงู„ู„ุฒูˆู…
1343
+
1344
+ 454
1345
+ 00:35:13,210 --> 00:35:19,550
1346
+ ุฃูƒุซุฑุŒ ูˆุงู†ุชู‡ูŠู†ุงุŒ ูˆูˆุตู„ู†ุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ู„ู‡ุงุŒ ู‡ุฐู‡ ู‡ูŠู‡ุง ุฎู„ุงุต
1347
+
1348
+ 455
1349
+ 00:35:19,550 --> 00:35:22,590
1350
+ ู…ู† ุตูุฑ ุฒุงุฆุฏ ูˆุงุญุฏ ูˆุฎู„ุตู†ุงุŒ ู‡ุฐู‡ ุงู„ู€ termsุŒ ูู‡ู†ุง ุฒุจุทุช
1351
+
1352
+ 456
1353
+ 00:35:22,590 --> 00:35:26,030
1354
+ ู‡ูŠู‡ุง ุตุงุฑุช ู…ู† ุตูุฑ to N ู„ู†ูุณ ุงู„ู€ function ุงู„ู€
1355
+
1356
+ 457
1357
+ 00:35:26,030 --> 00:35:32,360
1358
+ function ูˆุงุญุฏุฉุŒ ู‡ุฐู‡ ู‚ูŠู…ุฉ SุŒ ู‡ุฐู‡ ู†ูุณู‡ุง S ุงู„ู„ูŠ ุจุฏุฃู†ุง
1359
+
1360
+ 458
1361
+ 00:35:32,360 --> 00:35:35,340
1362
+ ููŠู‡ุง ููŠ ุงู„ุฃูˆู„ุŒ ุงู„ู€ summation ุงู„ุฃุตู„ูŠุŒ ุงู„ู€ summation
1363
+
1364
+ 459
1365
+ 00:35:35,340 --> 00:35:41,300
1366
+ ุงู„ุฃุตู„ูŠุŒ ุชู…ุงู…. ูุฃู†ุช ุฃุตุจุญ ุนู†ุฏูƒ S ุฒุงุฆุฏ ุงู„ู€ term ุงู„ู„ูŠ
1367
+
1368
+ 460
1369
+ 00:35:41,300 --> 00:35:45,020
1370
+ ุงู†ูุฑุฒ ุนู†ุฏูƒ ุฌุฏูŠุฏุŒ ุงู„ู„ูŠ ู‡ู… ู…ุฌู…ูˆุนุฉ ุงู„ุงุซู†ูŠู†ุŒ ุงู„ู€ upper ูˆุงู„ู€
1371
+
1372
+ 461
1373
+ 00:35:45,020 --> 00:35:47,340
1374
+ ุงู„ู€ lower ู„ู…ุง ุฃุฎุฐู†ุงู‡ุงุŒ ู„ู…ุง ูุตู„ู†ุงู‡ุง ู„ุญุงู„ู‡ุงุŒ ู„ู…ุง
1375
+
1376
+ 462
1377
+ 00:35:47,340 --> 00:35:52,460
1378
+ ุทุฑุญู†ุงู‡ุง ู„ุญุงู„ู‡ุงุŒ ู„ู…ุง ุทุฑุญู†ุงู‡ุง ู„ุญุงู„ู‡ุงุŒ ุชู…ุงู…. ู…ุฌุฑุฏ ุชุตููŠุฉ
1379
+
1380
+ 463
1381
+ 00:35:52,460 --> 00:35:55,300
1382
+ ู„ู„ู…ูˆุถูˆุน ุนุดุงู† ูŠูˆุตู„ ุนู†ุฏูŠ ุงู„ู€ SุŒ ูˆุงู„ู€ S ุงู„ู„ูŠ ูŠุฏูŠุฑ ุจุงู„ูƒ
1383
+
1384
+ 464
1385
+ 00:35:55,300 --> 00:35:59,880
1386
+ ู‡ูŠ ูƒู„ู‡ุง ุชุณุงูˆูŠ R ููŠ SุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ูƒู„ู‡ ุจุฏู‡ ูŠู†ุทุฑุญุŒ ุจุฏู‡
1387
+
1388
+ 465
1389
+ 00:35:59,880 --> 00:36:05,900
1390
+ ูŠู†ู‚ุณู… ุนู„ู‰
1391
+
1392
+ 466
1393
+ 00:36:05,900 --> 00:36:10,580
1394
+ ุงู„ุทุฑู ุงู„ุขุฎุฑุŒ ู„ุงุฒู… ู‡ุฐุง ู†ุงู‚ุตู‡ ุนู„ู‰ ุงู„ุทุฑู ุงู„ุซุงู†ูŠ ุนุดุงู†
1395
+
1396
+ 467
1397
+ 00:36:10,580 --> 00:36:15,760
1398
+ ุชุตูŠุฑ RS ู†ุงู‚ุต SุŒ ูู€ R ู†ุงู‚ุต ูˆุงุญุฏุŒ ู†ู‚ุณู…ู‡ุง ุนู„ู‰ ุงู„ุทุฑู ุงู„ู„ูŠ
1399
+
1400
+ 468
1401
+ 00:36:15,760 --> 00:36:21,240
1402
+ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒุŒ ุตุงุฑ ุนู†ุฏูƒ closed loopุŒ ุฃุตุจุญุช ุงู„ู€ S ุงู„ู„ูŠ
1403
+
1404
+ 469
1405
+ 00:36:21,240 --> 00:36:24,520
1406
+ ุงุญู†ุง ุนุงุฑููŠู† ุฃู† ู‡ูŠ ุงู„ู€ summation ู‡ูŠ ูุนู„ูŠุงู‹ ุชุณุงูˆูŠ ุงู„ู€
1407
+
1408
+ 470
1409
+ 00:36:24,520 --> 00:36:27,480
1410
+ constant ุงู„ู„ูŠ ุฃู†ุช ุจุชุญูƒูŠ ุนู†ู‡ุŒ ุงู„ู„ูŠ ุจุฏุฃุช ููŠู‡ ุงู„ู€
1411
+
1412
+ 471
1413
+ 00:36:27,480 --> 00:36:32,460
1414
+ constant ู…ุถุฑูˆุจ ูƒู„ู‡ ููŠ R to the power N ุฒุงุฆุฏ ูˆุงุญุฏ
1415
+
1416
+ 472
1417
+ 00:36:32,460 --> 00:36:37,740
1418
+ ูƒู„ู‡ ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ R ู†ุงู‚ุต ูˆุงุญุฏุŒ ุนู„ู‰ R ู†ุงู‚ุต ูˆุงุญุฏ
1419
+
1420
+ 473
1421
+ 00:36:37,740 --> 00:36:42,940
1422
+ ู‡ู„ุงุญุธ ุฃู† ุงู„ูƒู„ุงู… ุฏู‡ ู…ุธุจูˆุท ุฏุงุฆู…ุงู‹ ุฅู„ุง ููŠ ุญุงู„ุฉ ูˆุงุญุฏุฉ
1423
+
1424
+ 474
1425
+ 00:36:42,940 --> 00:36:49,200
1426
+ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูƒ vanish ู„ู„ู€ determinant
1427
+
1428
+ 475
1429
+ 00:36:49,200 --> 00:36:54,380
1430
+ ู„ู„ู…ู‚ุงู…ุŒ ุทูŠุจ ุนู†ุฏ R ุจุชุณุงูˆูŠ ูˆุงุญุฏุŒ ุทูŠุจุŒ ูุฅูŠุด ุจุฏูŠ ุฃุณูˆูŠ
1431
+
1432
+ 476
1433
+ 00:36:54,380 --> 00:36:58,140
1434
+ ุนู†ุฏ R ุจุชุณุงูˆูŠ ูˆุงุญุฏุŒ ุนูˆุถ ู…ุจุงุดุฑุฉ ู„ุฃู†ู‡ ู‡ุชุตูŠุฑ ุฒูŠ Euler
1435
+
1436
+ 477
1437
+ 00:36:58,140 --> 00:37:04,840
1438
+ ู„ุงุญุธ ู„ู…ุง ู‡ุฐู‡ ุชุตูŠุฑ ูˆุงุญุฏุŒ ู‡ุฐู‡ุŒ ู…ุด ู‡ุฐู‡ ุตุงุฑุช ูˆุงุญุฏุŒ okay
1439
+
1440
+ 478
1441
+ 00:37:04,840 --> 00:37:10,270
1442
+ ุตุงุฑุช ูˆุงุญุฏุŒ ู‡ูŠุŒ ูˆู‡ู†ุนูˆุถู‡ุง ู‡ู†ุงุŒ ู‡ูŠ ูˆุงุญุฏุŒ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡
1443
+
1444
+ 479
1445
+ 00:37:10,270 --> 00:37:12,810
1446
+ ุฌุฏุงู‹ ุงู„ู€ powerุŒ ุงู„ู€ power ุฌุฏุงู‹ ู…ุด ู‡ุชูุฑู‚ุŒ ูƒู„ู‡ุง
1447
+
1448
+ 480
1449
+ 00:37:12,810 --> 00:37:19,330
1450
+ ุดูŠู„ู‡ุงุŒ ุงู„ู€ I ุฎู…ุณุฉุŒ ุงู„ู€ I ุตูุฑุŒ ุงู„ู€ I ุนุดุฑุฉุŒ ุงู„ู€ I ู…ูŠุฉุŒ ุงู„ู€
1451
+
1452
+ 481
1453
+ 00:37:19,330 --> 00:37:22,630
1454
+ I ู…ู„ูŠูˆู†ุŒ one millionุŒ ู‡ุชูุฑู‚ ู…ุนุงูƒ ูˆู…ุด ู‡ุชูุฑู‚ ู…ุนุงูƒุŒ
1455
+
1456
+ 482
1457
+ 00:37:22,630 --> 00:37:26,990
1458
+ ู‡ุชุธู„ ุฏุงุฆู…ุงู‹ ูˆุงุญุฏุŒ ูุดูŠู„ู‡ุง ูƒุงู…ู„ุฉุŒ ูุจุชุธู„ ุฅูŠู‡ุŸ A ููŠ
1459
+
1460
+ 483
1461
+ 00:37:26,990 --> 00:37:34,210
1462
+ ูˆุงุญุฏุŒ ุทุจ ุงู„ู€ A ุจุงู„ู†ุณุจุงู„ูŠ constantุŒ ู…ุด constantุŸ A
1463
+
1464
+ 484
1465
+ 00:37:34,210 --> 00:37:39,160
1466
+ ุจุงู„ู†ุณุจุงู„ูŠุŒ ุงู„ู€ index I ู‡ูŠ constantุŒ ุทู„ุนู‡ุง ุจุฑุฉุŒ ุตุงุฑ
1467
+
1468
+ 485
1469
+ 00:37:39,160 --> 00:37:45,020
1470
+ ุนู…ู„ูŠุฉ summation ู„ู„ูˆุงุญุฏ ุจุนุฏุฏ ู…ุฑุงุชุŒ ูƒุฃู†ูƒ ุจุชู‚ูˆู„ ูˆุงุญุฏ
1471
+
1472
+ 486
1473
+ 00:37:45,020 --> 00:37:49,600
1474
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูƒู… ู…ุฑุฉ ู…ู† ุตูุฑ to n
1475
+
1476
+ 487
1477
+ 00:37:53,110 --> 00:37:55,650
1478
+ ู…ู† ุตูุฑ to nุŒ ุนู†ุฏ ุตูุฑ ุฃูˆ ุนู†ุฏ ูˆุงุญุฏ ุฃูˆ ุนู†ุฏ ุงุซู†ูŠู† ุฃูˆ
1479
+
1480
+ 488
1481
+ 00:37:55,650 --> 00:37:59,370
1482
+ ุนู†ุฏ ุงู„ุซู„ุงุซุฉุŒ ุฃุฑุจุน ู…ุฑุงุชุŒ ูˆุฃู†ุง ุจู‚ูˆู„ ุนู†ุฏ ุงู„ุซู„ุงุซุฉุŒ ูู‡ู†ุง
1483
+
1484
+ 489
1485
+ 00:37:59,370 --> 00:38:02,910
1486
+ ู„ู…ุง ุฃู‚ูˆู„ ุนู†ุฏ ุงู„ู€ nุŒ ูุจุชุตูŠุฑ n ุฒุงุฆุฏ ูˆุงุญุฏ ู…ุถุฑูˆุจุฉ ููŠ ุฅูŠุด
1487
+
1488
+ 490
1489
+ 00:38:02,910 --> 00:38:06,710
1490
+ ููŠ ุงู„ู€ a ุงู„ู„ูŠ ุทู„ุนู†ุงู‡ุง constantุŒ ูู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ
1491
+
1492
+ 491
1493
+ 00:38:06,710 --> 00:38:10,950
1494
+ ุนู†ุฏ r ุจุชุณุงูˆูŠ ูˆุงุญุฏุŒ ู„ุฃู† ู‡ู†ุง ู…ุด ู‡ูŠูุฑู‚ ู…ุนุงูƒุŒ ู‡ู†ุง ู…ุด
1495
+
1496
+ 492
1497
+ 00:38:10,950 --> 00:38:16,370
1498
+ ู‡ูŠูุฑู‚ุŒ ู‡ุชุจุนุซ undefined ุนู†ุฏ ุงู„ู€ ุฅูŠุดุŸ ุจุงู„ุธุจุทุŒ ุขู‡ุŒ ุนู†ุฏ ุงู„ู€
1499
+
1500
+ 493
1501
+ 00:38:16,370 --> 00:38:18,890
1502
+ numerator ูˆ denominatorุŒ ุนู†ุฏ ุงู„ู€ denominator zero
1503
+
1504
+ 494
1505
+ 00:38:18,890 --> 00:38:24,010
1506
+ ุฃูƒูŠุฏ ู‡ุชูƒูˆู† vanishedุŒ ูู€ undefinedุŒ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ูŠ
1507
+
1508
+ 495
1509
+ 00:38:24,010 --> 00:38:26,150
1510
+ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู„ูŠ ู„ุฃุŒ ุจู†ุนูˆุถ ุนู„ูŠู‡ุง ุจุดูƒู„ ู…ุจุงุดุฑ
1511
+
1512
+ 496
1513
+ 00:38:26,150 --> 00:38:33,590
1514
+ ุจู†ุนูˆุถ ุนู†ู‡ุง ุจุตูˆุฑุฉ ู…ุจุงุดุฑุฉุŒ ุชู…ุงู…. ุทูŠุจุŒ ููŠ nested ุฒูŠ ู…ุง ูƒุงู†
1515
+
1516
+ 497
1517
+ 00:38:33,590 --> 00:38:36,470
1518
+ ููŠ nested integrationุŒ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ double
1519
+
1520
+ 498
1521
+ 00:38:36,470 --> 00:38:39,430
1522
+ integration ุฃูˆ ุฃูƒุซุฑุŒ ุจุฑุถู‡ ู†ูุณ ุงู„ูƒู„ุงู… ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ู‡ู†ุง
1523
+
1524
+ 499
1525
+ 00:38:39,430 --> 00:38:42,850
1526
+ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ ุฃูƒุซุฑ ู…ู† integration
1527
+
1528
+ 500
1529
+ 00:38:44,230 --> 00:38:47,350
1530
+ ุฒูŠ ู…ุซู„ุงู‹ ุงู„ู€ summation ุงู„ู„ูŠ ุนู†ุฏูŠ ู‡ู†ุงุŒ ู…ู† summation ู„ู€
1531
+
1532
+ 501
1533
+ 00:38:47,350 --> 00:38:51,770
1534
+ I ูˆ ู„ู€ JุŒ ุฅูŠุด ูƒู†ุช ุชุนู…ู„ ููŠ ุงู„ู€ integrationุŸ ุฏุงุฆู…ุงู‹ ุงู„ู€
1535
+
1536
+ 502
1537
+ 00:38:51,770 --> 00:38:54,850
1538
+ integration ุงู„ุฏุงุฎู„ูŠุฉ ุจุชุนู…ู„ู‡ ููŠ ุงู„ุฃูˆู„ุŒ ุจุณ ุชุงุฎุฏ ุจุงู„ูƒ
1539
+
1540
+ 503
1541
+ 00:38:54,850 --> 00:39:00,970
1542
+ ู…ู† ุงู„ู€ constantsุŒ ู„ู…ุง ุฃู‚ูˆู„ ุงู„ู€ summation ุงู„ุฏุงุฎู„ูŠ ู‡ุฐุง
1543
+
1544
+ 504
1545
+ 00:39:00,970 --> 00:39:05,950
1546
+ ู„ู…ูŠู†ุŸ ู„ู€ JุŒ ูŠุนู†ูŠ I ุจุงู„ู†ุณุจุงู„ู‡ constantุŒ ุจุชุทู„ุนู‡ุง ุจุฑุฉ
1547
+
1548
+ 505
1549
+ 00:39:05,950 --> 00:39:10,670
1550
+ ู‡ู†ุง ุจุณ ุจุชุทู„ุนู‡ุงุด ุจุฑุฉ ู†ู‡ุงุฆูŠุงู‹ุŒ ู„ุฃู†ู‡ ููŠ summation ู„ู‡ุง
1551
+
1552
+ 506
1553
+ 00:39:10,670 --> 00:39:13,370
1554
+ ูุจู†ุทู„ุนู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุฅู†ู†ุง ู†ุนู…ู„ู‡ุง group ู„ุญุงู„ู‡ุง
1555
+
1556
+ 507
1557
+ 00:39:13,370 --> 00:39:16,770
1558
+ ุจู†ุทู„ุนู‡ุง ุจุฑุฉ ู‡ู†ุงุŒ ุนุดุงู† ู†ุณู‡ู„ ุนู„ู‰ ุญุงู„ู†ุง ุงู„ู€ summation
1559
+
1560
+ 508
1561
+ 00:39:16,770 --> 00:39:19,370
1562
+ ู‡ู†ุง ู…ู† ูˆุงุญุฏ ู„ุซู„ุงุซุฉุŒ ูุจุชูƒู„ู… ุนู† ูˆุงุญุฏ ุฒูŠ ุงุซู†ูŠู† ุฒูŠ
1563
+
1564
+ 509
1565
+ 00:39:19,370 --> 00:39:24,290
1566
+ ุงุซู†ูŠู† ุซู„ุงุซุฉุŒ ู‡ูŠ ุณุชุฉุŒ ุงู„ุณุชุฉ constantุŒ ุทู„ุนู‡ุง ุจุฑุฉ
1567
+
1568
+ 510
1569
+ 00:39:24,290 --> 00:39:28,090
1570
+ ุทู„ุนู†ุงู‡ุง ุจุฑุฉุŒ ุจุถู„ ุนู†ุฏูƒ ุงู„ู€ I ู…ู† ูˆุงุญุฏ ู„ุฃุฑุจุนุฉุŒ ุฎู„ุตุช
1571
+
1572
+ 511
1573
+ 00:39:28,090 --> 00:39:32,150
1574
+ ุงู†ุชู‡ุช ุงู„ู‚ุถูŠุฉุŒ ุจุงู„ุธุจุท ู†ูุณ ููƒุฑุฉ ุฅุฐุง ู…ุชุฐูƒุฑูŠู† ู„ู€
1575
+
1576
+ 512
1577
+ 00:39:32,150 --> 00:39:35,680
1578
+ quantificationุŒ ู„ู€ quantifiersุŒ ู…ุชุฐูƒุฑูŠู† ุงู„ู€
1579
+
1580
+ 513
1581
+ 00:39:35,680 --> 00:39:37,840
1582
+ quantifiersุŸ ู„ู…ุง ูŠูƒูˆู† ููŠู‡ ุนู†ุฏูƒ ุฃูƒุซุฑ ู…ู† ุงู„ู€
1583
+
1584
+ 514
1585
+ 00:39:37,840 --> 00:39:40,780
1586
+ quantifierุŒ ุจุฏูƒ ุชุญุฏุฏ ู…ูŠู† ุงู„ู€ bound ูˆู…ูŠู† ุงู„ู€ free
1587
+
1588
+ 515
1589
+ 00:39:40,780 --> 00:39:43,900
1590
+ ูˆู‡ู†ุง ู†ูุณ ุงู„ูƒู„ุงู…ุŒ ุญุฏุฏู†ุง ู…ูŠู† ุงู„ู€ bound ูˆู…ูŠู† ุงู„ู€ free
1591
+
1592
+ 516
1593
+ 00:39:43,900 --> 00:39:45,940
1594
+ ุงู„ู€ bound ูˆุงู„ู€ freeุŒ ูู‡ู†ุง ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ู€ summation
1595
+
1596
+ 517
1597
+ 00:39:45,940 --> 00:39:57,250
1598
+ ุงู„ุฃูˆู„ู‰ุŒ ุงู„ู€ j boundุŒ ุงู„ู€ I freeุŒ ุทู„ุนู‡ุง freeุŒ ุทู„ุนู‡ุงุŒ ุชู…ุงู…ุŒ ุฒูŠ
1599
+
1600
+ 518
1601
+ 00:39:57,250 --> 00:40:00,750
1602
+ ููƒุฑุฉ ุงู„ู€ constant ุชู…ุงู…ุงู‹ุŒ ุงู„ุขู† ู…ู„ุฎุต ุงู„ู…ูˆุถูˆุน ุฅู† ุตุงุฑ ููŠ
1603
+
1604
+ 519
1605
+ 00:40:00,750 --> 00:40:06,910
1606
+ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ shortcut expressions ุฃูˆ closed form
1607
+
1608
+ 520
1609
+ 00:40:06,910 --> 00:40:11,230
1610
+ ุฌุงู‡ุฒุฉุŒ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุนู‡ุงุŒ ุฃูˆู„ ูˆุงุญุฏุฉ ู‡ูŠ ุงู„ู€ geometric
1611
+
1612
+ 521
1613
+ 00:40:11,230 --> 00:40:15,790
1614
+ seriesุŒ ู…ุง ุนู†ุฏู†ุงุด ุฃูŠ ู…ุดูƒู„ุฉุŒ ุฒูŠ ู…ุง ู‚ู„ุช ู„ูƒู…ุŒ ุงู„ุญู„ูˆ ุงู„ูˆุญูŠุฏ
1615
+
1616
+ 522
1617
+ 00:40:15,790 --> 00:40:20,270
1618
+ ุจุณ ุงู„ู„ูŠ ุจุฏูƒ ุชุญู„ู‡ุง ู…ุจุงุดุฑุฉ ุนู†ุฏ r ุจุชุณุงูˆูŠ ูˆุงุญุฏุŒ ุนู†ุฏ r
1619
+
1620
+ 523
1621
+ 00:40:20,270 --> 00:40:22,810
1622
+ ุจุชุณุงูˆูŠ ูˆุงุญุฏุŒ ูู‡ุฏุง ู…ุง ูƒุงู† ููŠู‡ ุฃูŠ ู…ุดูƒู„ุฉุŒ ุงู„ู€ constant
1623
+
1624
+ 524
1625
+ 00:40:22,810 --> 00:40:26,810
1626
+ ู…ุถุฑูˆุจ ููŠ r to the power n ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูƒู„ู‡ ู†ุงู‚ุต ูˆุงุญุฏ
1627
+
1628
+ 525
1629
+ 00:40:26,810 --> 00:40:32,830
1630
+ ุนู„ู‰ r ู†ุงู‚ุต ูˆุงุญุฏุŒ ูˆุงู†ุชู‡ู‰ุŒ ุนู†ุฏ ุงู„ูˆุงุญุฏ ู„ุฃุŒ ุนู†ุฏ ุงู„ูˆุงุญุฏ ู„ุฃ
1631
+
1632
+ 526
1633
+ 00:40:32,830 --> 00:40:36,470
1634
+ EulerุŒ ุงู†ูุฌุฑุช ู…ุนู‡ุŒ Euler ู…ุง ูƒุงู† ููŠู‡ ุฃูŠ ู…ุดูƒู„ุฉุŒ ู…ุง ูƒุงู†ุด
1635
+
1636
+ 527
1637
+ 00:40:36,470 --> 00:40:41,870
1638
+ ููŠู‡ ุฃูŠ ู…ุดูƒู„ุฉ ู…ุน Euler ู„ู…ุง ูŠูƒูˆู† ุชุฑุจูŠุนุŒ ู…ุด ุนุงุฏูŠุŒ ุชุฑุจูŠุน
1639
+
1640
+ 528
1641
+ 00:40:41,870 --> 00:40:45,590
1642
+ ูููŠ ุงู„ุญุงู„ุฉ ุฏูŠ ู…ุดุงุจู‡ุฉ ุชู…ุงู…ุงู‹ุŒ in ููŠ in ุฒุงุฆุฏ ูˆุงุญุฏ
1643
+
1644
+ 529
1645
+ 00:40:45,590 --> 00:40:51,970
1646
+ ู‡ู†ุถูŠู ุจุณ ููŠ ุงุซู†ูŠู†ุŒ in ู†ุงู‚ุต ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฑุถู‡ุŒ ุนู„ู‰ ุณุชุฉ
1647
+
1648
+ 530
1649
+ 00:40:51,970 --> 00:40:58,610
1650
+ ุนู„ู‰ ุซู„ุงุซุฉุŒ ุจู†ู‚ุณู… ุนู„ู‰ ุณุชุฉุŒ ูƒูˆูŠุณุŒ ูู‡ุฏูŠ ู„ู„ุชุฑุจูŠุนุŒ ุฅุฐุง ูƒุงู†
1651
+
1652
+ 531
1653
+ 00:40:58,610 --> 00:41:03,830
1654
+ ุชูƒุนูŠุจุŒ ู‡ุฏูŠ ุชูƒุนูŠุจุŒ ู„ุญุธุฉ
1655
+
1656
+ 532
1657
+ 00:41:04,420 --> 00:41:08,920
1658
+ ุฅุฐุง ูƒุงู†ุช ุชุชูƒู„ู… ุนู† ุชูƒุนูŠุจ ูˆุจุฏูƒ ุชุฌู…ุนุŒ ู…ุนู†ุงุชู‡ ู†ูุณู‡ุง
1659
+
1660
+ 533
1661
+ 00:41:08,920 --> 00:41:12,060
1662
+ ุฅุฐุง ูƒุงู† ููŠ EulerุŒ ูƒุงู† ุจูŠู‚ูˆู„ in ููŠ in ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰
1663
+
1664
+ 534
1665
+ 00:41:12,060 --> 00:41:15,940
1666
+ ุงุซู†ูŠู†ุŒ ู‡ู†ุง ุจุชุตูŠุฑ in ุชุฑุจูŠุน ููŠ in ุฒุงุฆุฏ ูˆุงุญุฏ ุชุฑุจูŠุน ุนู„ู‰
1667
+
1668
+ 535
1669
+ 00:41:15,940 --> 00:41:22,620
1670
+ ุฃุฑุจุนุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ุงุซู†ูŠู† ุชุฑุจูŠุนุŒ ุทุจุนุงู‹ุŒ ููŠ closed forms
1671
+
1672
+ 536
1673
+ 00:41:22,620 --> 00:41:26,940
1674
+ ูƒุชูŠุฑุฉ ุฌุฏุงู‹ ู‡ุฐูˆู„ุŒ ู„ุฃู† ู‡ุฐูˆู„ ูˆุงุถุญูŠู†ุŒ ู…ุด ู…ุญุชุงุฌูŠู† ุชุญูุธ
1675
+
1676
+ 537
1677
+ 00:41:26,940 --> 00:41:32,920
1678
+ ููŠู‡ู… ูƒุซูŠุฑุŒ ู…ุด ู…ุญุชุงุฌ ุญูุธ ููŠู‡ู… ูƒุซูŠุฑุŒ ูู…ุง ููŠู‡ ุชุจุณูŠุท ู…ู† ู‡ูŠูƒ
1679
+
1680
+ 538
1681
+ 00:41:32,920 --> 00:41:37,460
1682
+ ุจูƒููŠ ุฌุฏุงู‹ ู‡ุฐูˆู„ุŒ ูˆู‡ู†ุณุชุฎุฏู…ู‡ู… ุจุณ ููŠ ุดูˆูŠุฉ ุงู„ุญุงู„ุงุช
1683
+
1684
+ 539
1685
+ 00:41:37,460 --> 00:41:43,300
1686
+ ุจุชุงุนุฉ ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุฌูŠุกุŒ ุฒูŠ ุณุคุงู„ ุฒูŠ ู‡ุฐุง ุชุฑุจูŠุน
1687
+
1688
+ 540
1689
+ 00:41:43,300 --> 00:41:47,760
1690
+ ุชุฑุจูŠุนุŒ ุนุงุฏูŠุฉ ุฌุฏุงู‹ุŒ ุงู„ู„ูŠ ู‡ูŠ ู…ุฌุฑุฏ ุฅูŠู‡ุŸ ุนุดุงู† n ููŠ n
1691
+
1692
+ 541
1693
+ 00:41:47,760 --> 00:41:53,120
1694
+ ุฒุงุฆุฏ ูˆุงุญุฏ ู…ุถุฑูˆุจ ููŠ 2n ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉุŒ ุชู…ุงู…. ู„ูƒู† ู‡ู†ุง ุฎุฐ
1695
+
1696
+ 542
1697
+ 00:41:53,120 --> 00:41:55,980
1698
+ ุจุงู„ูƒ ู…ู† ุงู„ู€ limitsุŒ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ู†ุฑูƒุฒ ุนู„ูŠู‡ุง ููŠ
1699
+
1700
+ 543
1701
+ 00:41:55,980 --> 00:42:01,220
1702
+ ุงู„ู€ litericsุŒ ู‡ุฃู‚ูˆู„ ู„ูƒ ุฃู†ุงุŒ ู„ุฃุŒ ู…ู† ุฎู…ุณูŠู† ู„ู…ุฆุฉุŒ ุฃู†ุง ู…ุง ู‚ู„ุชุด
1703
+
1704
+ 544
1705
+ 00:42:01,220 --> 00:42:04,800
1706
+ ู…ู† ุตูุฑ ูˆู„ุง ู…ู† ูˆุงุญุฏุŒ ุฒูŠ ุงู„ู€ form ู†ูุณู‡ุŒ ุทุจ ููŠ ุงู„ุญู„ู‚ุฉ ุฏูŠ
1707
+
1708
+ 545
1709
+ 00:42:04,800 --> 00:42:07,700
1710
+ ุจุฏูƒ ุชุนู…ู„ splittingุŒ splitting ู…ุนู†ุงุชู‡ ุจุฏูƒ ุชุญุท ู‡ุฐุง
1711
+
1712
+ 546
1713
+ 00:42:07,700 --> 00:42:12,800
1714
+ term ู„ุญุงู„ู‡ุŒ ูŠูƒูˆู† ูˆุงุถุญุŒ ูุจุชุญุทู‡ ู…ู† ูˆุงุญุฏ ู„ู…ุฆุฉุŒ ู‡ูˆ ุนุจุงุฑุฉ
1715
+
1716
+ 547
1717
+ 00:42:12,800 --> 00:42:15,920
1718
+ ุนู† ู…ู† ูˆุงุญุฏ ู„ุชุณุนุฉ ูˆุฃุฑุจุนูŠู†ุŒ ูˆู…ู† ุฎู…ุณูŠู† ู„ู…ุฆุฉุŒ ู‡ุฐู‡ ุงู„ู„ูŠ
1719
+
1720
+ 548
1721
+ 00:42:15,920 --> 00:42:19,540
1722
+ ุจุฏูŠ ุฅูŠุงู‡ุงุŒ ุฎุฐู‡ุง ุนู„ู‰ ุงู„ุทุฑู ุงู„ุซุงู†ูŠุŒ ุฃูˆ ุฎุฐู‡ุงุŒ ู‡ุฐู‡ ู†ู‚ูˆู„ู‡ุง ุนู„ู‰
1723
+
1724
+ 549
1725
+ 00:42:19,540 --> 00:42:22,360
1726
+ ุงู„ุทุฑู ุงู„ุซุงู†ูŠ ุจุงู„ุณุงู„ุจุŒ ูˆู‡ุฏุง ุตุงุฑุช ุจุฏูŠุฉ ู…ู† ูˆุงุญุฏุŒ ูˆู‡ุฏุง
1727
+
1728
+ 550
1729
+ 00:42:22,360 --> 00:42:26,480
1730
+ ุจุฏูŠุฉ ู…ู† ูˆุงุญุฏุŒ ู…ุธุจูˆุทุŒ ุฎู„ุงุตุŒ ู…ุด ู…ุดูƒู„ุฉุŒ ุจุณ ุจุชุชุบูŠุฑ ุงู„ู€ n ููŠ
1731
+
1732
+ 551
1733
+ 00:42:26,480 --> 00:42:32,000
1734
+ ูƒู„ ู…ุฑุฉ ู…ู† ุงู„ู…ุฑุงุชุŒ ุนุดุงู† ุชุชุนูˆุฏุŒ ู…ุง ู‡ู†ุง ุจุฏุฃุช ุงู„ู€ n ุจู€ 100
1735
+
1736
+ 552
1737
+ 00:42:32,000 --> 00:42:37,360
1738
+ ูุจุชุจุฏุฃ ุจู€ 100 ูˆุจุชูƒู…ู„ุŒ ุงู„ู€ n ุชุจุนุช 100ุŒ ู‡ู†ุง 49ุŒ ูุจุชุจุฏุฃ ุจู€
1739
+
1740
+ 553
1741
+ 00:42:37,360 --> 00:42:44,340
1742
+ 49 ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูˆ 2 ููŠ 49 ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูˆุจุชูƒู…ู„ ุฌุณู…ู‡ุง ุนู„ู‰ 6
1743
+
1744
+ 554
1745
+ 00:42:44,340 --> 00:42:50,180
1746
+ ุทู„ุนู†ุง ู†ุชุงุฆุฌู†ุง ุฌูŠุฏุฉุŒ ุงู„ุขู† ุขุฎุฑ ุดุบู„ ุจุชูƒู„ู… ุนู†ู‡ุง ู‡ูŠ ุงู„ู€
1747
+
1748
+ 555
1749
+ 00:42:50,180 --> 00:42:53,860
1750
+ cardinalityุŒ ู‡ูŠ ุฌุฒุฆูŠุฉ ุงู„ู€ cardinality ูˆุจุฏู†ุง ู†ุฃุฎุฐ
1751
+
1752
+ 556
1753
+ 00:42:53,860 --> 00:42:57,020
1754
+ ุจุงู„ู†ุงุŒ ู„ุฅู†ู‡ ุจุฏู†ุง ู†ุทู„ุน ุงู„ุชุนุฑูŠููŠู† ู‚ุจู„ ู…ุง ู†ู†ู‡ูŠ ู…ูˆุถูˆุน
1755
+
1756
+ 557
1757
+ 00:42:57,020 --> 00:42:59,540
1758
+ ุงู„ู€ summationุŒ ู„ุฅู†ู‡ ุฎู„ุงุต ุจุฏู†ุง ู†ู†ู‡ูŠ ู…ูˆุถูˆุน ุงู„ุขู†ุŒ ุงู„ู€
1759
+
1760
+ 558
1761
+ 00:42:59,540 --> 00:43:05,020
1762
+ summation ุจุดูƒู„ู‡ ุงู„ูƒุงู…ู„ุŒ ูˆุจุชุถู„ ุฌุฒุฆูŠุฉ ูˆุญูŠุฏุฉ ู‡ูŠ ุงู„ู€
1763
+
1764
+ 559
1765
+ 00:43:05,020 --> 00:43:08,300
1766
+ cardinalityุŒ ุฅู…ุชู‰ ุฃู†ุง ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ุงู„ู€ sets ุงู„ู€
1767
+
1768
+ 560
1769
+ 00:43:08,300 --> 00:43:12,080
1770
+ cardinality ุจุชุงุนุชู‡ู… ู…ุชุดุงุจู‡ุฉุŸ ุทุจุนุงู‹ ุฅุฐุง ูƒุงู†ุช finite
1771
+
1772
+ 561
1773
+ 00:43:12,080 --> 00:43:15,960
1774
+ ูู…ุง ููŠุด ู…ุดูƒู„ุฉุŒ ุจุฏูŠ ุฃุดูˆู ูƒู… ุนุฏุฏ ุงู„ู€ elements ู‡ู†ุง ูˆูƒู…
1775
+
1776
+ 562
1777
+ 00:43:15,960 --> 00:43:18,060
1778
+ ุนุฏุฏ ุงู„ู€ elements ู‡ู†ุงุŒ ูˆุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุณุงุจู‚ุงู‹ุŒ ู…ุง ูƒุงู†ุด ุฃูŠ
1779
+
1780
+ 563
1781
+ 00:43:18,060 --> 00:43:22,220
1782
+ ููŠ ู…ุดูƒู„ุฉ ุฅุทู„ุงู‚ุงู‹ุŒ ุจุณ ุฅุฐุง ูƒุงู†ุช to infinite ุฃูˆ
1783
+
1784
+ 564
1785
+ 00:43:22,220 --> 00:43:27,560
1786
+ infinite setsุŒ ูƒูŠู ู‡ุชุชุนุงู…ู„ ู…ุนู‡ุงุŸ infinite set ุงู„ู€
1787
+
1788
+ 565
1789
+ 00:43:27,560 --> 00:43:30,500
1790
+ cardinality ูƒู…ุŒ ูˆูƒูŠู ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู†ู‡ู… ู…ุชุณุงูˆูŠูŠู†ุŸ ู„ูˆ ู…ุด
1791
+
1792
+ 566
1793
+ 00:43:30,500 --> 00:43:33,880
1794
+ ู…ุชุณุงูˆูŠุฉุŒ ูู‡ู†ุง ู‡ู†ุชูƒู„ู… ููŠ ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ a ูˆ
1795
+
1796
+ 567
1797
+ 00:43:33,880 --> 00:43:39,020
1798
+ b finiteุŒ ุงู„ู‚ุถูŠุฉ ุณู‡ู„ุฉุŒ ุจุดูˆู ุนุฏุฏู‡ู… ู‡ู†ุง ูˆุนุฏุฏู‡ู… ู‡ู†ุง ูˆ
1799
+
1800
+ 568
1801
+ 00:43:39,020 --> 00:43:44,870
1802
+ ุงู†ุชู‡ู‰ ุงู„ู…ูˆุถูˆุนุŒ ู„ูƒู† ุฅุฐุง ูƒุงู†ูˆุง infiniteุŒ ุฃูˆู„ ุดุบู„ุฉ ุจุฏูƒ
1803
+
1804
+ 569
1805
+ 00:43:44,870 --> 00:43:48,290
1806
+ ุชูุญุตู‡ุงุŒ ู„ุฃู† ุจุนุฏ ุงู„ู€ setุŒ ุงุญู†ุง ุฃุฎุฐู†ุง ุงู„ู€ functionุŒ ุฅุฐุง
1807
+
1808
+ 570
1809
+ 00:43:48,290 --> 00:43:50,710
1810
+ ูƒุงู†ุช ุงู„ู€ two sets ู‡ุฐูˆู„ุŒ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู† ุงู„ู€ relation
1811
+
1812
+ 571
1813
+ 00:43:50,710 --> 00:43:52,370
1814
+ between them ุฃูˆ ุงู„ู€ function between them ู‡ูŠ
1815
+
1816
+ 572
1817
+ 00:43:52,370 --> 00:43:59,650
1818
+ bijectionุŒ ูู‡ู… ู…ุชุณุงูˆูŠุชูŠู†ุŒ bijection
1819
+
1820
+ 573
1821
+ 00:43:59,650 --> 00:44:03,610
1822
+ a ูˆ b ููŠ ุนู„ุงู‚ุฉ bijection between themุŒ ู…ุนู†ู‰ ุฐู„ูƒ ุฅู†
1823
+
1824
+ 574
1825
+ 00:44:03,610 --> 00:44:06,170
1826
+ ูƒู„ ูˆุงุญุฏุฉ ู…ู…ูƒู† ุชูƒูˆู† domain ูˆุงู„ุซุงู†ูŠุฉ ุชูƒูˆู† codomain
1827
+
1828
+ 575
1829
+ 00:44:06,170 --> 00:44:09,270
1830
+ ูˆุงู„ุนูƒุณ ุตุญูŠุญุŒ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ุซุงู†ูŠุฉ ู‡ูŠ ุงู„ู€ domain ูˆุงู„ุฃูˆู„ู‰
1831
+
1832
+ 576
1833
+ 00:44:09,270 --> 00:44:13,210
1834
+ ู‡ูŠ ุงู„ู€ codomain ู„ู‡ุงุŒ ุจู…ุนู†ู‰ one to one ๏ฟฝ๏ฟฝon to ููŠ ู†ูุณ
1835
+
1836
+ 577
1837
+ 00:44:13,210 --> 00:44:18,150
1838
+ ุงู„ูˆู‚ุชุŒ ุฅุฐุง ูุนู„ุงู‹ ุงู„ู€ relation ุฃูˆ ุงู„ู€ function ุจูŠู†ู‡ู…
1839
+
1840
+ 578
1841
+ 00:44:18,150 --> 00:44:21,970
1842
+ ุจุชุญู‚ู‚ ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ ุจูŠุฌูŠูƒุดู†ุŒ ุจู‚ูˆู„ ุนู„ู‰ ุทูˆู„ ุฅู†ู‡ู… ุจูŠุณุงูˆูˆุง
1843
+
1844
+ 579
1845
+ 00:44:21,970 --> 00:44:27,710
1846
+ ุจุนุถุŒ ุญุชู‰ ู„ูˆ ูƒุงู†ูˆุง infiniteุŒ ุญุชู‰ ู„ูˆ ูƒุงู†ูˆุง infinite
1847
+
1848
+ 580
1849
+ 00:44:27,710 --> 00:44:32,830
1850
+ setุŒ ุชู…ุงู…. ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุจุฏู†ุง ู†ูู‡ู… ุญุงุฌุฉ ู…ู‡ู…ุฉุŒ ุฅู…ุชู‰
1851
+
1852
+ 581
1853
+ 00:44:32,830 --> 00:44:35,710
1854
+ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ุงู„ู€ function ุจู‚ุฏุฑ ุฃุชุนุงู…ู„ ู…ุนู‡ุง ุจู‡ุฐุง
1855
+
1856
+ 582
1857
+ 00:44:35,710 --> 00:44:40,370
1858
+ ุงู„ุดูƒู„ ุงู„ุจุณูŠุทุŒ ุงู„ุณุชุฉ ู‡ุฐู‡ุŒ ุฅู†ูŠ ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ุขู‡ุŒ ุชู†ุงุฒู„ูŠุงู‹ ุฃูˆ
1859
+
1860
+ 583
1861
+ 00:44:40,370 --> 00:44:43,710
1862
+ ุชุฒุงูŠุฏูŠุงู‹ุŒ ุจู‚ุฏุฑ ุฃุนุฏู‡ุง ูˆุฃู‚ูˆู„ ุฅู† ู‡ูŠ ููŠู‡ bijectionุŒ ุฎู„ุงุต
1863
+
1864
+ 584
1865
+ 00:44:43,710 --> 00:44:48,670
1866
+ ู…ุนู†ุงุชู‡ cardinality ู…ุนุฑูˆูุฉุŒ ูƒู„ู…ุฉ cardinality ู…ุนู†ุงุชู‡
1867
+
1868
+ 585
1869
+ 00:44:48,670 --> 00:44:52,570
1870
+ ุฃู†ุง ุจุชูƒู„ู… ุนู† ุนุฏุฏ elementsุŒ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ููŠ ุงู„ุญุงู„ุฉ
1871
+
1872
+ 586
1873
+ 00:44:52,570 --> 00:44:57,130
1874
+ ู‡ุฐู‡ุŒ ุจุฏู†ุง ู†ุญุฏุฏ countable ูˆuncountableุŒ ู…ุนุฏูˆุฏ ูˆุบูŠุฑ
1875
+
1876
+ 587
1877
+ 00:44:57,130 --> 00:45:03,490
1878
+ ู…ุนุฏูˆุฏุŒ ุงู„ู…ุนุฏูˆุฏ ูˆุบูŠุฑ ุงู„ู…ุนุฏูˆุฏุŒ ู‡ู„ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ุงู„ู€ set
1879
+
1880
+ 588
1881
+ 00:45:03,490 --> 00:45:09,170
1882
+ ุงู„ู„ูŠ ู‚ุฏุงู…ูŠ ู‡ูŠ countable setุŒ ุจู…ุนู†ู‰ ุฃู†ู‡ ุจู‚ุฏุฑ ุฃุนุฏ ุงู„ู€
1883
+
1884
+ 589
1885
+ 00:45:09,170 --> 00:45:14,730
1886
+ elements ุญุชู‰ ู„ูˆ to infinityุŒ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจูŠุชุญู‚ู‚ ููŠ
1887
+
1888
+ 590
1889
+ 00:45:14,730 --> 00:45:20,560
1890
+ ุญุงู„ุฉ ูˆุงุญุฏุฉุŒ ุฅุฐุง ูƒุงู†ุช ู‡ูŠ finiteุŒ ู…ุง ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ููŠู‡ุงุŒ ุตุญูŠุญ
1891
+
1892
+ 591
1893
+ 00:45:20,560 --> 00:45:23,140
1894
+ ุฅุฐุง finiteุŒ ู…ุง ุนู†ุฏูŠ ุฃูŠ ู…ุดูƒู„ุฉุŒ ุจู‚ูˆู„ ุนู„ูŠู‡ุง countable
1895
+
1896
+ 592
1897
+ 00:45:23,140 --> 00:45:28,140
1898
+ ู„ุฃู†ู‡ finiteุŒ ู…ุญุฏูˆุฏุฉุŒ ูŠุนู†ูŠ ุจุชู‚ุฏุฑ ุชุนุฏู‡ุงุŒ ู‡ุชุบู„ุจูƒ ุจุณ ู…ู…ูƒู†
1899
+
1900
+ 593
1901
+ 00:45:28,140 --> 00:45:31,620
1902
+ ุญุชู‰ ูˆุงุญุฏุฉุŒ ูŠุญุฏู‡ุงุŒ ุชู…ุณูƒู‡ู… ูˆุชุนุฏู‡ู…ุŒ ู…ุง ุนู†ุฏูƒุด ุฃูŠ ู…ุดูƒู„ุฉ
1903
+
1904
+ 594
1905
+ 00:45:31,620 --> 00:45:35,880
1906
+ ุฏุฎู„ู‡ู… ู„ู„ูƒู…ุจูŠูˆุชุฑ ุจูŠุนุฏู‘ ู„ูƒ ุฅูŠุงู‡ู…ุŒ is a finiteุŒ ู„ูƒู†
1907
+
1908
+ 595
1909
+ 00:45:35,880 --> 00:45:41,160
1910
+ otherwiseุŒ ุฃู†ุช ู…ุด ู‚ุงุฏุฑ ุชุนุฏู‘ู‡ู… ูƒู€ natural numberุŒ ูƒู€
1911
+
1912
+ 596
1913
+ 00:45:41,160 --> 00:45:46,130
1914
+ natural numberุŒ ู„ุฃุŒ ุจุชู‚ูˆู„ finite ุฃูˆ ู…ุด finiteุŒ ู‡ู†ุง
1915
+
1916
+ 597
1917
+ 00:45:46,130 --> 00:45:49,670
1918
+ ุงู„ู„ูŠ ุนู†ุฏู‡ finite ุณู‡ู„ุฉุŒ ู„ูƒู† ุฅุฐุง ู…ุง ูƒุงู†ุชุด finiteุŒ ูŠูƒููŠ
1919
+
1920
+ 598
1921
+ 00:45:49,670 --> 00:45:56,590
1922
+ ุฅู†ู‡ุง ุชูƒูˆู† ุจุชุนู…ู„ bijection ู…ุน ุงู„ู€ natural numberุŒ ุฅุฐุง
1923
+
1924
+ 599
1925
+ 00:45:56,590 --> 00:46:01,590
1926
+ ุจุชุนู…ู„ bijection ู…ุน ุงู„ู€ natural numberุŒ ุณู…ูŠู‡ุง countable
1927
+
1928
+ 600
1929
+ 00:46:01,590 --> 00:46:09,050
1930
+ ู‚ุงุจู„ุฉ ู„ู„ุนุฏุŒ ุจู…ุนู†ู‰ ุฃู† ุจุชู‚ุฏุฑ ุชุนุฏ ุนู†ุงุตุฑู‡ุง ูˆูู‚ุงู‹ ู„ุนู†ุงุตุฑ
1931
+
1932
+ 601
1933
+ 00:46:09,050 --> 00:46:12,030
1934
+ ุงู„ู€ natural numberุŒ ุงู„ู€ natural number ูƒูŠู ุจุชุนุฏู‡ุงุŸ ูƒู€
1935
+
1936
+ 602
1937
+ 00:46:12,030 --> 00:46:16,110
1938
+ integersุŒ ุตุญุŸ ู…ุนู†ู‰ ุฐู„ูƒ ุฅู† ู‡ูŠ ูˆุงุญุฏ ุฃูˆ ุตูุฑุŒ ูˆุงุญุฏ
1939
+
1940
+ 603
1941
+ 00:46:16,110 --> 00:46:24,250
1942
+ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฅุฐุง ููŠ ุงู„ู…ู‚ุงุจู„ุŒ ู†ูุณ ุงู„ู…ู‚ุงุจู„ู‡ุง ุณุชุฉุŒ
1943
+
1944
+ 604
1945
+ 00:46:24,250 --> 00:46:30,540
1946
+ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู† ู‡ูŠ bijection ู…ุนู‡ุงุŒ ุจู…ุนู†ู‰ ุฅู† ุงู„ุตูุฑ ู‡ุฐุง
1947
+
1948
+ 605
1949
+ 00:46:30,540 --> 00:46:34,860
1950
+ ูŠู‚ุงุจู„ ุนู†ุตุฑ integerุŒ ูˆุงู„ูˆุงุญุฏ ูŠู‚ุงุจู„ ุนู†ุตุฑ integer
1951
+
1952
+ 606
1953
+ 00:46:34,860 --> 00:46:37,100
1954
+ ุจุญูŠุซ ุฅู†ู‡ ู…ู…ูƒู† ู†ุญุทู‡ ูƒู€ index
1955
+
1956
+ 607
1957
+ 00:46:41,270 --> 00:46:45,030
1958
+ ู„ุญุธุฉุŒ ูƒู€ indexุŒ ูู‡ู†ุง ุตุงุฑุช ูƒุฃู†ูƒ ุจุชุชูƒู„ู… ุนู† ุงู„ู€ function
1959
+
1960
+ 608
1961
+ 00:46:45,030 --> 00:46:48,010
1962
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู†ู‡ุงุŒ bijection ุจูŠู† ุงู„ู€ natural number
1963
+
1964
+ 609
1965
+ 00:46:48,010 --> 00:46:51,070
1966
+ ูˆุงู„ู€ set ุงู„ู„ูŠ ุจุฏู†ุง ู†ุฌูŠุจู‡ุงุŒ ู‡ูŠ countable ูˆู„ุง
1967
+
1968
+ 610
1969
+ 00:46:51,070 --> 00:46:59,290
1970
+ uncountableุŒ ูˆุงู„ู„ู‡ ุฅุฐุง ู‚ุฏุฑู†ุง ู†ุญุท ุงู„ู€ index ู„ู‡ุง ู„ูƒู„ู‘
1971
+
1972
+ 611
1973
+ 00:
1974
+
1975
+ 667
1976
+ 00:50:53,950 --> 00:50:59,550
1977
+ ุฒูŠ ุงู„ู€ real numbers ูˆุงุถุญุฉ ุฌุฏุง ุฃู† ู‡ุฐู‡ uncountable
1978
+
1979
+ 668
1980
+ 00:50:59,550 --> 00:51:06,230
1981
+ ุชู…ุงู…ุŒ ู‡ูŠุง ู†ูƒูˆู† ุฎู„ุตู†ุง ุงู„ุฌุฒุกุŒ ุชุจุนู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ุณู‡
1982
+
1983
+ 669
1984
+ 00:51:06,230 --> 00:51:08,430
1985
+ ุนู†ุฏู†ุง ุงู„ู€ matricesุŒ ุนู†ุฏู†ุง ุงู„ู€ matrices ู„ุณู‡
1986
+
1987
+ 670
1988
+ 00:51:10,970 --> 00:51:14,910
1989
+ ู„ุฃุŒ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู‡ู†ุงุฎุฏ ู…ุฑุงุฌุนุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰
1990
+
1991
+ 671
1992
+ 00:51:14,910 --> 00:51:18,790
1993
+ ู‡ุดูˆู .. ู†ุงุฎุฏ ุดูˆูŠุฉ matricesุŒ ูˆ ู‡ู†ุนู…ู„ ู…ุฑุงุฌุนุฉุŒ ู‡ู†ุนู…ู„
1994
+
1995
+ 672
1996
+ 00:51:18,790 --> 00:51:21,970
1997
+ ุดูˆูŠุฉ ุฃุณุฆู„ุฉุŒ ุงู„ู…ุฑุฉ ุงู„ุฃุฎูŠุฑุฉ ู…ุงุฎุฏู†ุงุด ุฃุณุฆู„ุฉุŒ ุชู…ุงู…ุŒ ุจู†ุนู…ู„
1998
+
1999
+ 673
2000
+ 00:51:21,970 --> 00:51:25,210
2001
+ ุดูˆูŠุฉ ุฃุณุฆู„ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ุŒ ูˆ ุจู†ุญุฏุฏ ู„ู„ุฃุณุจูˆุน ุงู„ู„ูŠ
2002
+
2003
+ 674
2004
+ 00:51:25,210 --> 00:51:28,850
2005
+ ูˆุฑุง ู…ูˆู‚ุน ู„ู„ู€ quizุŒ ุฃุฎุฏู†ุง ูƒู…ูŠุฉ ูƒูˆูŠุณุฉุŒ ุจุฏู†ุง .. ู…ุญุชุงุฌูŠู†
2006
+
2007
+ 675
2008
+ 00:51:28,850 --> 00:51:30,790
2009
+ ู†ุนู…ู„ ุดูˆูŠุฉ quizzesุŒ ูŠุนุทูŠูƒู… ุงู„ุนููˆ ูŠุง ุดุจุงุจ
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/1DXhPKvs1dE.srt ADDED
@@ -0,0 +1,2125 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,110 --> 00:00:08,130
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุŒ ูŠุนุทูŠูƒู… ุงู„ุนููˆ ูŠุง ุดุจุงุจุŒ
4
+
5
+ 2
6
+ 00:00:08,130 --> 00:00:11,050
7
+ ู†ูƒู…ู„ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุงู„ุฌุฒุก ุงู„ุฐูŠ ูƒุงู†
8
+
9
+ 3
10
+ 00:00:11,050 --> 00:00:15,790
11
+ ู…ุชุจู‚ูŠุงู‹ ู…ู† ุงู„ู€ growth ูˆุงู„ู€ order of
12
+
13
+ 4
14
+ 00:00:15,790 --> 00:00:20,490
15
+ growth ู„ู†ุดูˆู ูƒูŠู ู†ุณุชุฎุฏู… ุงู„ู…ุนู„ูˆู…ุงุช ู‡ุฐู‡ ููŠ ุญุณุงุจ
16
+
17
+ 5
18
+ 00:00:20,490 --> 00:00:24,070
19
+ ุงู„ู€ complexity ู„ู„ุฃูƒูˆุงุฏุŒ ู„ู„ู€ algorithm ุงู„ุชูŠ ุฃุฎุฐู†ุงู‡ุง
20
+
21
+ 6
22
+ 00:00:24,070 --> 00:00:26,670
23
+ ู…ู† ุงู„ุฃุณุจูˆุน ุงู„ู…ุงุถูŠุŒ ุงู„ุฐูŠ ูƒู†ุง ู†ุชูƒู„ู… ููŠู‡ ุนู† ุงู„ู€
24
+
25
+ 7
26
+ 00:00:26,670 --> 00:00:30,120
27
+ pseudocodeุŒ ุจุบุถ ุงู„ู†ุธุฑ ุทุจุนุงู‹ ุนู† ุงู„ู„ุบุฉ ุงู„ุชูŠ ุฃู†ุชู…
28
+
29
+ 8
30
+ 00:00:30,120 --> 00:00:34,440
31
+ ุณุชุณุชุฎุฏู…ูˆู†ู‡ุง ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ุฃู†ุชู… ุชุนุฑููˆู† ุฃู† ู„ุฏูŠูƒู… code ูˆ
32
+
33
+ 9
34
+ 00:00:34,440 --> 00:00:36,980
35
+ ุชุฑูŠุฏูˆู† ุญุณุงุจ ุงู„ู€ complexityุŒ ุทูŠุจุŒ ู„ู…ุงุฐุง ู„ุง ู†ุฐู‡ุจ ุฅู„ู‰
36
+
37
+ 10
38
+ 00:00:36,980 --> 00:00:40,500
39
+ ุงู„ู€ complexityุŸ ูƒุงู† ุถุฑูˆุฑูŠุงู‹ ุฌุฏุงู‹ ุฃู† ู†ูู‡ู… ุฃู†ู‡ ู„ุญุณุงุจ
40
+
41
+ 11
42
+ 00:00:40,500 --> 00:00:43,820
43
+ complexityุŒ ูุฃู†ุง ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฃุชุนุงู…ู„ ู…ุน ุงู„ู€ algorithm ุงู„ุฐูŠ
44
+
45
+ 12
46
+ 00:00:43,820 --> 00:00:48,260
47
+ ู‡ูˆ ุงู„ู€ code ูƒุฃู†ู‡ functionุŒ function ููŠ ู…ุงุฐุงุŸ function
48
+
49
+ 13
50
+ 00:00:48,260 --> 00:00:51,760
51
+ ููŠ ุงู„ู€ inputsุŒ function ููŠ ุงู„ู€ inputsุŒ ู…ุง ุฏุงู… function
52
+
53
+ 14
54
+ 00:00:51,760 --> 00:00:55,600
55
+ ููŠ ุงู„ู€ inputsุŒ ู…ุนู†ุงุชู‡ ูŠู‡ู…ู‘ู†ูŠ ุฌุฏุงู‹ ุฃู† ุฃุฏุฑุณ ุงู„ู€ functions
56
+
57
+ 15
58
+ 00:00:55,600 --> 00:00:58,620
59
+ ู†ูุณู‡ุงุŒ ูˆู…ุง ู‡ูŠ ุฃู†ูˆุงุน ุงู„ู€ functionsุŒ ูˆูƒูŠู ุฃู…ูŠุฒ ุจูŠู† ุงู„ู€
60
+
61
+ 16
62
+ 00:00:58,620 --> 00:01:01,720
63
+ functions ูˆุจุนุถู‡ุง ู…ู† ุญูŠุซ ุงู„ู€ order of growthุŒ ู„ูƒูŠ
64
+
65
+ 17
66
+ 00:01:01,720 --> 00:01:07,380
67
+ ุจุนุฏ ุฐู„ูƒุŒ ุนู†ุฏู…ุง ู†ุถุน ุงู„ุฃูƒูˆุงุฏ ู…ุน ูˆุธุงุฆูู‡ุงุŒ
68
+
69
+ 18
70
+ 00:01:07,380 --> 00:01:10,980
71
+ ุฃุณุชุทูŠุน ุฃู† ุฃู‚ุงุฑู† ุจูŠู†ู‡ุงุŒ ู‡ุฐู‡ ูƒุงู†ุช ุงู„ููƒุฑุฉ ุงู„ุฃุณุงุณูŠุฉ
72
+
73
+ 19
74
+ 00:01:10,980 --> 00:01:14,580
75
+ ููŠ ุงู„ู…ูˆุถูˆุนุŒ ุฎู„ุตู†ุง ุงู„ุฃูƒูˆุงุฏุŒ ูˆุงู†ุชู‡ูŠู†ุง ู…ู† ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ
76
+
77
+ 20
78
+ 00:01:14,580 --> 00:01:17,460
79
+ ุฃู†ู‡ ูˆุงู„ู„ู‡ุŒ ู‡ู†ุงูƒ ุดูŠุก ูŠุณู…ู‰ pseudocodeุŒ ูˆุฎุฑุฌู†ุง...
80
+
81
+ 21
82
+ 00:01:17,460 --> 00:01:20,520
83
+ ุฑุฃูŠู†ุง ู…ุง ู‡ูŠ ุงู„ู€ statementsุŒ ุฃุฎุฐู†ุง ูƒู…
84
+
85
+ 22
86
+ 00:01:20,520 --> 00:01:24,740
87
+ ู…ู† ู…ุซุงู„ุŒ ุจุฏุฃู†ุง ู†ุชูƒู„ู… ููŠ ู…ุงุฐุงุŸ ููŠ ุงู„ู€ functions ูˆุงู„ู€
88
+
89
+ 23
90
+ 00:01:24,740 --> 00:01:28,480
91
+ order ูˆููŠ growth ู„ู„ู€ functionsุŒ ู„ู…ุงุฐุง ู‡ุฐุง ุงู„ูƒู„ุงู…ุŸ
92
+
93
+ 24
94
+ 00:01:28,480 --> 00:01:31,200
95
+ ู„ุฃู†ู‡ ู„ูŠุณ ุฃู†ุง ู…ู‡ุชู…ุงู‹ ุจุงู„ู€ functions ูƒู€ functionsุŒ ุจู„ ุฃู†ุง
96
+
97
+ 25
98
+ 00:01:31,200 --> 00:01:34,770
99
+ ู…ู‡ุชู…ุงู‹ ุจู‡ุง ู„ุฃู† ุงู„ุฐูŠ ุณูŠุฃุชูŠ ุงู„ูŠูˆู… ุณู†ุชูƒู„ู… ุนู†ู‡ ู‡ูˆ ูƒูŠู
100
+
101
+ 26
102
+ 00:01:34,770 --> 00:01:39,310
103
+ ุฃุฌุนู„ ุงู„ู€ code ูŠุตุจุญ functionุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ูŠุตุจุญ ู‚ูŠุงุณ ุงู„ู€
104
+
105
+ 27
106
+ 00:01:39,310 --> 00:01:41,490
107
+ functionality ุงู„ุฎุงุตู‘ุฉ ุจุงู„ู€ function ู‡ูŠ ุงู„ุชูŠ ุชุตุจุญ
108
+
109
+ 28
110
+ 00:01:41,490 --> 00:01:45,990
111
+ ุฃู…ุงู…ูŠ ู…ุนูŠุงุฑ ุงู„ู…ู‚ุงุฑู†ุฉ ูˆุงุถุญุŒ ู„ู…ุงุฐุง ู†ุฐู‡ุจ ุฅู„ู‰
112
+
113
+ 29
114
+ 00:01:45,990 --> 00:01:50,570
115
+ ู…ูˆุถูˆุน ุงู„ู€ order of growthุŸ ู„ุฃู† ุงู„ู€ code ุณูŠูู…ุซู‘ู„ as a
116
+
117
+ 30
118
+ 00:01:50,570 --> 00:01:56,510
119
+ functionุŒ ูƒู€ functionุŒ ุทูŠุจุŒ ู…ุง ู‡ูŠ ุงู„ู€
120
+
121
+ 31
122
+ 00:01:56,510 --> 00:02:00,250
123
+ function value ุงู„ุฎุงุตุฉ ุจุงู„ู€ code ู‡ุฐุงุŸ ุณู†ุชูƒู„ู… ููŠู‡ุŒ ู„ูƒู†
124
+
125
+ 32
126
+ 00:02:00,250 --> 00:02:04,700
127
+ ู†ุญู† ู†ุนุฑู ุฃู† ุงู„ู€ inputุŒ ุงู„ู€ input ู‡ูŠ ู…ุฏุฎู„ุงุช ุงู„ู€
128
+
129
+ 33
130
+ 00:02:04,700 --> 00:02:08,840
131
+ functionุŒ ู‡ูŠ ุงู„ู€ argumentsุŒ ู…ุฌู…ูˆุนุฉ ุงู„ู€ inputsุŒ ุงู„ู€ array
132
+
133
+ 34
134
+ 00:02:08,840 --> 00:02:14,780
135
+ ุงู„ุชูŠ ู†ุฑูŠุฏ ุฅุฏุฎุงู„ู‡ุง ู„ู„ู€ algorithm ูƒู…ุฏุฎู„ุงุชุŒ ุฌูŠุฏุŒ ู†ูƒู…ู„.
136
+
137
+ 35
138
+ 00:02:14,780 --> 00:02:17,660
139
+ ุงู„ุฐูŠ ูƒู†ุง ู†ุชูƒู„ู… ุนู†ู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ูˆูƒู†ุง ู‚ู„ู†ุง ุฃูˆ ุฑุจู…ุง
140
+
141
+ 36
142
+ 00:02:17,660 --> 00:02:21,380
143
+ ู„ู… ู†ุฏุฎู„ ุฅู„ุง ุงู„ู€ big O ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ูู‚ุทุŒ ู‚ู„ู†ุง ุฃู†
144
+
145
+ 37
146
+ 00:02:21,380 --> 00:02:25,140
147
+ at most big OุŒ ู…ุงุฐุง ูŠุนู†ูŠ at most big OุŸ ูŠุนู†ูŠ ุนู†ุฏู…ุง ุฃู‚ูˆู„
148
+
149
+ 38
150
+ 00:02:25,140 --> 00:02:32,740
151
+ ifุŒ ุชุณุงูˆูŠ ุฃูˆ belong to ุฃูˆ at mostุŒ ุฃูŠ ูˆุงุญุฏุฉ ุณุฃูƒุชุจู‡ุงุŒ
152
+
153
+ 39
154
+ 00:02:32,740 --> 00:02:36,520
155
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ of ifุŒ ู…ุซู„ุงู‹ุŒ ูŠุนู†ูŠ ูƒุฃู†ู†ูŠ ุฃู‚ูˆู„ ุฃู† ุงู„ู€ function
156
+
157
+ 40
158
+ 00:02:36,520 --> 00:02:41,060
159
+ ู‡ูŠ ููŠ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุงุŒ ููŠ ุฃูƒุจุฑ order ู„ู‡ุงุŒ ู‡ูŠ first
160
+
161
+ 41
162
+ 00:02:41,060 --> 00:02:46,140
163
+ orderุŒ ุฃูƒุจุฑ ู…ู…ูƒู†ุŒ ุชูƒูˆู† ุฃู‚ู„ุŒ ุฃูˆ ู…ู…ูƒู† ุชูƒูˆู† ุฃู‚ู„ุŒ ู…ู…ูƒู†
164
+
165
+ 42
166
+ 00:02:46,140 --> 00:02:51,180
167
+ ุชูƒูˆู† ุฃู‚ู„ุŒ ุฑุจู…ุง ู„ุณุชู ู‚ุงุฏุฑุงู‹ ุนู„ู‰ ุชุญุฏูŠุฏู‡ุง ุจุฏู‚ุฉุŒ ู„ูƒู† ููŠ
168
+
169
+ 43
170
+ 00:02:51,180 --> 00:02:55,040
171
+ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุง ุณุชูƒูˆู† first orderุŒ ุฃูˆ ููŠ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุง
172
+
173
+ 44
174
+ 00:02:55,040 --> 00:02:58,380
175
+ second order ๏ฟฝ๏ฟฝูˆ third orderุŒ ุงูƒุชุจ ู…ุง ุชุฑูŠุฏุŒ ู„ูƒู† ููŠ
176
+
177
+ 45
178
+ 00:02:58,380 --> 00:03:02,500
179
+ ุงู„ู†ู‡ุงูŠุฉ ู†ูู‡ู… ุงู„ููƒุฑุฉุŒ ูุงู„ู€ big O ู‡ูŠ at mostุŒ ุจู…ุนู†ู‰ ุฃู†
180
+
181
+ 46
182
+ 00:03:02,500 --> 00:03:09,420
183
+ ุงู„ู€ function ููŠ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุง ู‡ูŠ ุชุฑุจูŠุนูŠุฉ ู…ุซู„ุงู‹ุŒ for
184
+
185
+ 47
186
+ 00:03:09,420 --> 00:03:12,700
187
+ exampleุŒ ู…ู…ูƒู† ุชูƒูˆู† ุฃู‚ู„ุŒ ุฃูˆ ู…ู…ูƒู† ุชูƒูˆู† ุฃู‚ู„ุŒ ู…ู…ูƒู† ุชูƒูˆู†
188
+
189
+ 48
190
+ 00:03:12,700 --> 00:03:15,800
191
+ ุฃู‚ู„ุŒ ูู†ุญู† ุฏุงุฆู…ุงู‹ ู†ุดุชุบู„ ุนู„ู‰ ุงู„ู€ worst caseุŒ ูˆู‡ุฐุง
192
+
193
+ 49
194
+ 00:03:15,800 --> 00:03:19,120
195
+ ูŠุจุฏูˆ ู„ูŠ ู…ุนู„ูˆู…ุฉ ู…ูˆุฌูˆุฏุฉ ุจุงู„ุชุฃูƒูŠุฏ ุนู†ุฏูƒู…ุŒ ู†ุญู† ููŠ ุงู„ุฃูƒูˆุงุฏ
196
+
197
+ 50
198
+ 00:03:19,120 --> 00:03:21,780
199
+ ู†ุดุชุบู„ ุนู„ู‰ ุงู„ู€ worst caseุŒ ููŠ ุฃุณูˆุฃ ุงู„ุฃุญูˆุงู„ุŒ ู„ุฃู† ุฃู†ุชู…
200
+
201
+ 51
202
+ 00:03:21,780 --> 00:03:25,410
203
+ ู„ุง ุชุนุฑููˆู† ูุนู„ูŠุงู‹ ุดูƒู„ ุงู„ู€ inputs ุงู„ุฏุงุฎู„ุฉุŒ ูƒุงู†ุช
204
+
205
+ 52
206
+ 00:03:25,410 --> 00:03:28,310
207
+ ุงู„ู…ูุฑูˆุถ ุฃู† ุชุนู…ู„ generality ู„ู„ู€ codeุŒ ู…ุซู„ ุงู„ู€
208
+
209
+ 53
210
+ 00:03:28,310 --> 00:03:30,670
211
+ characteristics ุงู„ุชูŠ ุฃุฎุฐู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ูˆู‚ู„ู†ุง
212
+
213
+ 54
214
+ 00:03:30,670 --> 00:03:32,690
215
+ ู…ู† ุฃู‡ู… ุงู„ู€ characteristicsุŒ ู…ุฌู…ูˆุนุฉ
216
+
217
+ 55
218
+ 00:03:32,690 --> 00:03:35,350
219
+ characteristics ุงู„ุชูŠ ุฃุฎุฐู†ุงู‡ุงุŒ ุงู„ู€ generalityุŒ ุฃู† ูŠูƒูˆู† ุงู„ู€
220
+
221
+ 56
222
+ 00:03:35,350 --> 00:03:38,890
223
+ code generalุŒ generalุŒ ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุงู„ู€ inputs
224
+
225
+ 57
226
+ 00:03:38,890 --> 00:03:43,270
227
+ ุงู„ุชูŠ ุชุนุทู‰ ู„ู‡ุŒ ุชู…ุงู…ุŸ ูู‡ุฐู‡ ุงู„ู€ big OุŒ ู†ุจุฏุฃ ุจุฑุคูŠุฉ
228
+
229
+ 58
230
+ 00:03:43,270 --> 00:03:47,690
231
+ ู…ุฌู…ูˆุนุฉ facts ุนู† ุงู„ู€ big OุŒ ู…ู…ูƒู† ู†ุญุชุงุฌู‡ุง ู„ุงุญู‚ุงู‹ุŒ ู„ูˆ
232
+
233
+ 59
234
+ 00:03:47,690 --> 00:03:51,920
235
+ ู‚ู„ู†ุง ุฃู† F ู‡ูŠ ุงู„ู€ functionุŒ ู‡ูŠ belong to ุฃูˆ ุชุณุงูˆูŠ ุฃูˆ
236
+
237
+ 60
238
+ 00:03:51,920 --> 00:03:56,380
239
+ at mostุŒ ุงูƒุชุจ ู…ุง ุชุฑูŠุฏุŒ ู„ุง ูŠู‡ู… ุงู„ู…ุนู†ู‰ุŒ ุฃูˆ ู‡ูŠ is
240
+
241
+ 61
242
+ 00:03:56,380 --> 00:04:02,020
243
+ ุฏุงุฆู…ุงู‹ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ big O of GุŒ ูุฅุฐุง ูƒุงู†ุช F ููŠ ุฃุณูˆุฃ
244
+
245
+ 62
246
+ 00:04:02,020 --> 00:04:10,520
247
+ ุฃุญูˆุงู„ู‡ุง ู‡ูŠ ู…ู† ุงู„ู€ order GุŒ ูˆ G big O of HุŒ ูุญุณุจ ุงู„ู€
248
+
249
+ 63
250
+ 00:04:10,520 --> 00:04:13,620
251
+ relation ุงู„ุฎุงุตุฉ ุจู€ transitiveุŒ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู† F
252
+
253
+ 64
254
+ 00:04:13,620 --> 00:04:19,900
255
+ ุจุงู„ุถุฑูˆุฑุฉ ุณุชูƒูˆู† big O of HุŒ ูŠุนู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุทูŠุจุŒ ุนู†ุฏู…ุง
256
+
257
+ 65
258
+ 00:04:19,900 --> 00:04:26,740
259
+ ุฃู‚ูˆู„ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† GุŒ ูˆ G
260
+
261
+ 66
262
+ 00:04:26,740 --> 00:04:33,480
263
+ ู‡ู†ุง ุนุจุงุฑุฉ ุนู† ุชุฑุจูŠุนูŠุŒ ูˆู‚ู„ู†ุง G big O of HุŒ ูˆ H ู‡ุฐู‡
264
+
265
+ 67
266
+ 00:04:33,480 --> 00:04:41,640
267
+ ุชูƒุนูŠุจุŒ ุชู…ุงู…ุŸ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุตุญูŠุญุŸ F big O of GุŒ F
268
+
269
+ 68
270
+ 00:04:41,640 --> 00:04:45,500
271
+ ู‡ุฐู‡ ู…ู…ูƒู† ุชูƒูˆู† first orderุŒ ุจู…ุดูŠ ุงู„ุญุงู„ second orderุŒ ุฃุฌู„
272
+
273
+ 69
274
+ 00:04:45,500 --> 00:04:51,600
275
+ ุจู…ุดูŠ ุงู„ุญุงู„ุŒ ุฃูŠุถุงู‹ ู…ุงุดูŠุŒ ู„ุง ู…ุดูƒู„ุฉุŒ ู…ุง ุฏุงู… big O of GุŒ ุทูŠุจ G
276
+
277
+ 70
278
+ 00:04:51,600 --> 00:04:55,000
279
+ second orderุŒ ุทูŠุจ ุงู„ู€ G ู‡ุฐู‡ุŒ ุงู„ุชูŠ ู‡ูŠ second order
280
+
281
+ 71
282
+ 00:04:55,000 --> 00:04:59,860
283
+ ุจุงู„ุชุฃูƒูŠุฏ ุณุชูƒูˆู† big O of HุŒ H ูƒุงู†ุช second orderุŒ ุจู…ุดูŠ
284
+
285
+ 72
286
+ 00:04:59,860 --> 00:05:03,640
287
+ ุงู„ุญุงู„ุŒ third orderุŒ ุจู…ุดูŠ ุงู„ุญุงู„ุŒ fourth orderุŒ ุจู…ุดูŠ
288
+
289
+ 73
290
+ 00:05:03,640 --> 00:05:10,320
291
+ ุงู„ุญุงู„ุŒ ู„ุงุŒ ู„ุง ุชู†ูุน big OุŒ ู‚ู„ู†ุง at mostุŒ ุจู…ุนู†ู‰
292
+
293
+ 74
294
+ 00:05:10,320 --> 00:05:15,950
295
+ ููŠ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุง GุŒ ู‡ูŠ ุณุชูƒูˆู† ู‡ุฐุง ุงู„ู€... ูŠุง ุชุณุงูˆูŠู‡ุงุŒ ูŠุง
296
+
297
+ 75
298
+ 00:05:15,950 --> 00:05:18,490
299
+ ุฃู‚ู„ ู…ู†ู‡ุง GุŒ ูŠุง ุชุณุงูˆูŠู‡ุงุŒ ูŠุง ุฃู‚ู„ ู…ู†ู‡ุงุŒ ูุฅุฐุง
300
+
301
+ 76
302
+ 00:05:18,490 --> 00:05:23,350
303
+ automatically ุฃุณุชุทูŠุน ุฃู† ุฃุณุชู†ุชุฌ ุฃู† F ู†ูุณู‡ุง ู‡ูŠ big O of
304
+
305
+ 77
306
+ 00:05:23,350 --> 00:05:31,430
307
+ HุŒ ุตุญูŠุญุŸ ู„ุฃู† F ุญุณุจ ุงู„ุชุนุฑูŠู ุงู„ุฐูŠ ูˆุฌุฏู†ุงู‡ ู‡ู†ุงุŒ ู‡ูŠ ุชุฑุจูŠุนุŒ
308
+
309
+ 78
310
+ 00:05:31,430 --> 00:05:32,110
311
+ ูุฃู‚ู„
312
+
313
+ 79
314
+ 00:05:35,740 --> 00:05:43,540
315
+ ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ
316
+
317
+ 80
318
+ 00:05:43,540 --> 00:05:45,640
319
+ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„...
320
+
321
+ 81
322
+ 00:05:45,640 --> 00:05:46,100
323
+ ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„
324
+
325
+ 82
326
+ 00:05:46,100 --> 00:05:46,300
327
+ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„...
328
+
329
+ 83
330
+ 00:05:46,300 --> 00:05:46,440
331
+ ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„
332
+
333
+ 84
334
+ 00:05:46,440 --> 00:05:46,780
335
+ ... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ
336
+
337
+ 85
338
+ 00:05:46,780 --> 00:05:47,500
339
+ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„...
340
+
341
+ 86
342
+ 00:05:47,500 --> 00:05:52,610
343
+ ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุจู…ุดูŠ ุงู„ุญุงู„... ุงู„ู€ function
344
+
345
+ 87
346
+ 00:05:52,610 --> 00:05:57,350
347
+ ูู†ุณู…ูŠ ุงู„ู€ code ุจุงุณู…ู‡ุงุŒ ุชู…ุงู…ุŒ ุณู†ุฑู‰ ุฐู„ูƒ ู„ุงุญู‚ุงู‹ุŒ ู„ูƒู†ู†ุง
348
+
349
+ 88
350
+ 00:05:57,350 --> 00:05:59,990
351
+ ุงู„ุขู† ู†ุญุฏุฏ ูู‚ุท ู…ุฌู…ูˆุนุฉ ุงู„ู€ facts ุงู„ุชูŠ ู„ุฏูŠู†ุง ู‡ู†ุง.
352
+
353
+ 89
354
+ 00:05:59,990 --> 00:06:04,690
355
+ ูุงู„ู€ transitivityุŒ ุฃุฌู„ุŒ ู…ุชุญู‚ู‚ุฉุŒ ุงู„ู€ transitivity relation
356
+
357
+ 90
358
+ 00:06:04,690 --> 00:06:10,170
359
+ ูˆุงุถุญุฉ ุชู…ุงู…ุงู‹ุŒ ุฌูŠุฏุŒ ุงู„ู€ big OุŒ ุนู†ุฏู…ุง ูŠูƒูˆู† ู„ุฏูŠู†ุง
360
+
361
+ 91
362
+ 00:06:10,170 --> 00:06:16,000
363
+ ุซุงุจุช ููŠ ุนู…ู„ูŠุฉ ุงู„ุถุฑุจุŒ ู„ุง ูŠุคุซุฑุŒ ูŠุนู†ูŠ ุชุฑุจูŠุน ู…ุซู„ุงู‹ุŒ
364
+
365
+ 92
366
+ 00:06:16,000 --> 00:06:20,660
367
+ in ุชุฑุจูŠุนุŒ ุทูŠุจุŒ ุฎู…ุณุฉ in ุชุฑุจูŠุนุŒ ูŠุบูŠุฑ ุงู„ู€ orderุŸ ู…ุฆุฉ in
368
+
369
+ 93
370
+ 00:06:20,660 --> 00:06:26,060
371
+ ุชุฑุจูŠุนุŒ ู‡ูŠ ุชุฑุจูŠุนูŠุฉุŒ ุณุชุธู„ ุชุฑุจูŠุนูŠุฉุŒ ุณู†ุฑู‰ ุงู„ู€ roots ูˆุงู„ู€
372
+
373
+ 94
374
+ 00:06:26,060 --> 00:06:29,420
375
+ logุŒ ุณู†ุฑู‰ ุงู„ู€ logุŒ ู…ุงุฐุง ูŠุบูŠู‘ุฑ ู…ุนู†ุง ููŠ ูƒู„ function ุฃูˆ
376
+
377
+ 95
378
+ 00:06:29,420 --> 00:06:32,780
379
+ ู†ูˆุน ู…ู† ู‡ุฐู‡ ุงู„ุฃู†ูˆุงุนุŒ ู„ูˆ ุงูุชุฑุถู†ุง ุฃู† F ู†ูุณู‡ุง ู‡ูŠ
380
+
381
+ 96
382
+ 00:06:32,780 --> 00:06:40,020
383
+ small omega of ูˆุงุญุฏุŒ ู…ุนู†ุงุชู‡ ุงู„ุขู† ู†ุญุชุงุฌ ู„ู„ุชูˆู‚ู ู‚ู„ูŠู„ุงู‹ุŒ
384
+
385
+ 97
386
+ 00:06:40,020 --> 00:06:43,180
387
+ ู„ุฃู†ู†ุง ุฃุตุจุญู†ุง ู…ุถุทุฑูŠู† ู„ู…ุนุฑูุฉ ุฃู†ูˆุงุน ุฃุฎุฑู‰ ุบูŠุฑ ุงู„ู€ big
388
+
389
+ 98
390
+ 00:06:43,180 --> 00:06:54,870
391
+ OุŒ ูŠูˆุฌุฏ ุงู„ู€ big omegaุŒ if ุชุณุงูˆูŠ big omega of gุŒ ู‡ุฐู‡
392
+
393
+ 99
394
+ 00:06:54,870 --> 00:07:01,470
395
+ ุนูƒุณ ุงู„ู€ big OุŒ ูุงู„ู€ big O ููŠ ุฃุณูˆุฃ ุฃุญูˆุงู„ู‡ุง ู‡ูŠ ุงู„ู€ order
396
+
397
+ 100
398
+ 00:07:01,470 --> 00:07:09,270
399
+ g ู‡ู†ุงุŒ ู„ุงุŒ ููŠ ุฃุญุณู† ุฃุญูˆุงู„ู‡ุง ู‡ูŠ gุŒ ุจู…ุนู†ู‰ ุฃู†ู‡ุง if ู‡ู†ุง
400
+
401
+ 101
402
+ 00:07:09,270 --> 00:07:11,630
403
+ ุงู„ู€ order ุงู„ุฎุงุต ุจู‡ุง g ูุฃุนู„ู‰.
404
+
405
+ 102
406
+ 00:07:14,750 --> 00:07:20,450
407
+ ุนูƒุณ ุงู„ู€ big O ุชู…ุงู…ุงู‹ุŒ ุนูƒุณ ุงู„ู€ big OุŒ ู‡ู†ุง ูƒู†ุง ู†ู‚ูˆู„ if
408
+
409
+ 103
410
+ 00:07:20,450 --> 00:07:28,990
411
+ ู‡ูŠ ู†ูุณ order g ูุฃู‚ู„ุŒ ูู„ู…ุง ุฃู‚ูˆู„ ู‡ู†ุง in ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ
412
+
413
+ 104
414
+ 00:07:28,990 --> 00:07:33,190
415
+ ุฃู‚ูˆู„ ุฃู† ู‡ุฐู‡ ุงู„ู€ function ู‡ูŠ second order ูุฃู‚ู„ุŒ ู…ู…ูƒู†
416
+
417
+ 105
418
+ 00:07:33,190 --> 00:07:36,710
419
+ ุชูƒูˆู† firstุŒ inverse logุŒ ุจู…ุดูŠ ุงู„ุญุงู„ุŒ ุฃู‚ู„ ู…ู† ุงู„ู€
420
+
421
+ 106
422
+ 00:07:36,710 --> 00:07:41,810
423
+ secondุŒ ุจู…ุดูŠ ุงู„ุญุงู„ุŒ ุฌูŠุฏุŒ ู‡ู†ุง ู„ุงุŒ ุจุงู„ุนูƒุณุŒ ู‡ู†ุง ูƒุฃู†ู†ูŠ ุฃู‚ูˆู„
424
+
425
+ 107
426
+ 00:07:41,810 --> 00:07:47,330
427
+ ifุŒ ูˆู‡ู†ุง in ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ูƒุฃู†ู†ูŠ ุฃู‚ูˆู„ ุฃู† F ู‡ุฐู‡
428
+
429
+ 108
430
+ 00:07:47,330 --> 00:07:54,650
431
+ ู‡ูŠ second order ูุฃุนู„ู‰ุŒ secondุŒ thirdุŒ fourthุŒ
432
+
433
+ 109
434
+ 00:07:54,650 --> 00:07:59,810
435
+ exponentialุŒ ุฒูŠ ู…ุง ูŠุทู„ุนุŒ power ofุŒ power ofุŒ power of
436
+
437
+ 110
438
+ 00:07:59,810 --> 00:08:04,420
439
+ variableุŒ ุงู„ู…ู‡ู… ุฃู†ู‡ ุฃูƒุจุฑ ู…ู† ุงู„ู€ orderุŒ ุนูƒุณ ุงู„ู€ big OุŒ
440
+
441
+ 111
442
+ 00:08:04,420 --> 00:08:10,240
443
+ ู‡ู†ุง ุฃู‚ู„ุŒ ุทูŠุจุŒ ุชู…ุงู…ุŒ ุฃูˆ ุชุณุงูˆูŠู‡ุง ุจุงู„ุถุจุทุŒ ุฃูˆ ุชุณุงูˆูŠู‡ุงุŒ ู„ู…ุงุฐุงุŸ
444
+
445
+ 112
446
+ 00:08:10,240 --> 00:08:13,660
447
+ ู„ุฃู† ุนู†ุฏู…ุง ุฃุฑูŠุฏ ุฃู† ุฃู‚ูˆู„ ุณุงุนุชู‡ุง small omegaุŒ ู‡ุฐู‡ big omegaุŒ
448
+
449
+ 113
450
+ 00:08:13,660 --> 00:08:18,320
451
+ ู‡ุฐู‡ small omegaุŒ if strictly ุฃูƒุจุฑ ู…ู†ู‡ุง ูˆู„ุง ุชุณุงูˆูŠู‡ุง.
452
+
453
+ 114
454
+ 00:08:18,320 --> 00:08:21,700
455
+ ูุฅุฐู†ุŒ
456
+
457
+ 115
458
+ 00:08:21,700 --> 00:08:26,300
459
+ ู‡ุฐู‡ ู…ู…ูƒู† ู†ู‚ูˆู„ ุนู†ู‡ุง ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠุŒ ู‡ุฐู‡ ู…ู…ูƒู†
460
+
461
+ 116
462
+ 00:08:26,300 --> 00:08:33,210
463
+ ุชุณู…ูŠู‡ุง ุฃูƒุจุฑ ู…ู†ุŒ ูˆุจู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ู…ูƒู† ุชุณู…ูŠู‡ุง ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ.
464
+
465
+ 117
466
+ 00:08:33,210 --> 00:08:44,250
467
+ ูˆุทุจุนุงู‹ ุจุงู„ุชุฃูƒูŠุฏ ูŠูˆุฌุฏ small oุŒ ูู€ small o ู‡ุฐู‡
468
+
469
+ 118
470
+ 00:08:44,250 --> 00:08:51,790
471
+ ุณุชูƒูˆู† ุฃู‚ู„ ู…ู† ู‡ุฐู‡ุŒ ุฃุฎุฐู†ุง ู…ุฌู…ูˆุนุฉุŒ ู„ูƒูŠ ุนู†ุฏู…ุง ู†ุฃุชูŠ ู„ู†ุชูƒู„ู…
472
+
473
+ 119
474
+ 00:08:51,790 --> 00:08:56,580
475
+ ุนู† ู…ุง ู‡ูˆ ุงู„ุงุนุชุฑุงุถ ุงู„ุฐูŠ ุฏุฎู„ ุนู†ุฏูŠุŒ ู‡ุฐุง ู‡ูˆ ู…ุง
476
+
477
+ 120
478
+ 00:08:56,580 --> 00:09:00,140
479
+ ู‡ูˆ ุงู„ู€ small omegaุŒ ู…ุงุฐุง ุชุนู†ูŠ small omegaุŒ ู„ูˆ ูู‡ู…ู†ุงู‡ุงุŸ
480
+
481
+ 121
482
+ 00:09:00,140 --> 00:09:06,700
483
+ ุฃู†ู‡ ุฅุฐุง ูƒุงู†ุช F ุฃูƒุจุฑุŒ ูˆุงู„ุฒู…ู† ุฃูƒุจุฑ ู…ู† ู…ุงุฐุงุŸ ู…ุงุฐุง ูŠุนู†ูŠ
484
+
485
+ 122
486
+ 00:09:06,700 --> 00:09:11,140
487
+ ูˆุงุญุฏุŸ constantุŒ ู…ุงุฐุง ูŠุนู†ูŠ constantุŸ ูŠุนู†ูŠ ู‡ุฏู ูุนู„ูŠุงู‹
488
+
489
+ 123
490
+ 00:09:11,140 --> 00:09:16,910
491
+ n to the power ุตูุฑุŒ ูŠุนู†ูŠ Zero OrderุŒ Zero Order ูŠุนู†ูŠ
492
+
493
+ 124
494
+ 00:09:16,910 --> 00:09:20,310
495
+ ุซุงุจุชุŒ ConstantุŒ ูู€ Zero OrderุŒ ูƒู„ู†ุง ู†ุนุฑู ุฃูŠ ุดูŠุก
496
+
497
+ 125
498
+ 00:09:20,310 --> 00:09:24,950
499
+ ูŠุณุงูˆูŠ ุตูุฑ ู†ุถุนู‡ ุจูˆุงุญุฏุŒ ู„ุฃู†ูƒู… ุฃู†ุชู… ุชุนุฑููˆู† ู…ุณุจู‚ุงู‹ ุฃู†ู‡
500
+
501
+ 126
502
+ 00:09:24,950 --> 00:09:29,110
503
+ ุงู„ูˆุงุญุฏ ู‡ุฐุง ูŠุฃุชูŠ ู…ู† ูุนู„ูŠุงู‹ ู…ู† ุงู„ู€ Zero OrderุŒ ู‡ูŠ ูุนู„ูŠุงู‹
504
+
505
+ 127
506
+ 00:09:29,110 --> 00:09:33,870
507
+ ุชุฃุชูŠ ู…ู† Zero OrderุŒ ู†ูƒุชุจู‡ุง ูˆุงุญุฏ ู„ุชุณู‡ูŠู„ ุงู„ุฃู…ุฑุŒ ู„ูƒู† ู†ุญู†
508
+
509
+ 128
510
+ 00:09:33,870 --> 00:09:38,010
511
+ ูƒู„ู†ุง ู†ุนุฑู ุฃู†ู‡ุง Order ZeroุŒ ูุงู„ู€ Order Zero ู…ุนู†ุงุชู‡ ุฃู†
512
+
513
+ 129
514
+ 00:09:38,010 --> 00:09:41,910
515
+ ุฃู†ุง ุฃุชุญุฏุซ ุนู† ุฃู† F ู‡ุฐู‡ ุฃูƒุจุฑ ู…ู† ConstantุŒ ุฃูƒุจุฑ ู…ู†
516
+
517
+ 130
518
+ 00:09:41,910 --> 00:09:46,010
519
+ constantุŒ first logุŒ ู…ู‡ู…ุง ูŠุทู„ุนุŒ ูŠุทู„ุนุŒ ู„ูƒู†ู‡ุง ูุนู„ูŠุงู‹ ุฃูƒุจุฑ
520
+
521
+ 131
522
+ 00:09:46,010 --> 00:09:51,070
523
+ ู…ู† constantุŒ ุชู…ุงู…ุŒ ู„ูƒู„ FุŒ ุฅุฐุง ูƒุงู†ุช ู‡ูŠ function
524
+
525
+ 132
526
+ 00:09:51,070 --> 00:09:55,410
527
+ ุฃูƒุจุฑ ู…ู† constantุŒ ูˆู…ุฌู…ูˆุนุฉ constants A ูˆ B ู‡ูŠ ุฃุนุฏุงุฏ
528
+
529
+ 133
530
+ 00:09:55,410 --> 00:10:00,030
531
+ ุญู‚ูŠู‚ูŠุฉุŒ ุจุญูŠุซ ุฃู† B ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุตูุฑุŒ ุฃุณุชุทูŠุน ุฃู† ุฃู‚ูˆู„
532
+
533
+ 134
534
+ 00:10:00,030 --> 00:10:09,290
535
+ ุณุงุนุชู‡ุง A ุงู„ุชูŠ ู‡ูŠ A constant ู…ุถุฑูˆุจุฉ ููŠ F ุณูŠูƒูˆู† ู†ูุณ
536
+
537
+ 135
538
+ 00:10:09,290 --> 00:10:15,530
539
+ big O of FุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุชุฑุจูŠุนูŠุฉุŒ in ุชุฑุจูŠุนุŒ ุทูŠุจุŒ ู…ู„ูŠูˆู† ููŠ
540
+
541
+ 136
542
+ 00:10:15,530 --> 00:10:21,010
543
+ in ุชุฑุจูŠุนุŒ ู…ุง ู‡ูˆ ุงู„ู€ orderุŸ ุจุฑุถู‡ ุชุฑุจูŠุนุŒ ู„ู† ูŠุชุบูŠุฑุŒ ูุฅุฐุง
544
+
545
+ 137
546
+ 00:10:21,010 --> 00:10:24,290
547
+ ู…ุงุฐุงุŸ ู…ู‡ู…ุง ุชูƒูˆู† ู‚ูŠู…ุชู‡ุงุŒ ู‡ูŠ constant ููŠ ุงู„ู…ุนุงุฏู„ุฉุŒ
548
+
549
+ 138
550
+ 00:10:24,290 --> 00:10:27,930
551
+ ุซู„ุงุซุฉ in ุชุฑุจูŠุนุŒ ุฎู…ุณุฉ in ุชุฑุจูŠุนุŒ ุนุดุฑุฉ in ุชุฑุจูŠุนุŒ ู…ุฆุฉ in
552
+
553
+ 139
554
+ 00:10:27,930 --> 00:10:32,190
555
+ ุชุฑุจูŠุนุŒ ุณุชุธู„ ุงู„ู…ุนุงุฏู„ุฉ in general ุชุฑุจูŠุนูŠุฉุŒ ูู†ุณู…ูŠู‡ุง big
556
+
557
+ 140
558
+ 00:10:32,190 --> 00:10:36,500
559
+ O of F ุชุฑุจูŠุนุŒ ุฎู„ุงุตุŒ ู„ู† ูŠุชุบูŠุฑุŒ ู…ุงุฐุง ูŠุนู†ูŠ ุทูŠุจุŒ ุฅุฐุง
560
+
561
+ 141
562
+ 00:10:36,500 --> 00:10:42,640
563
+ ูƒุงู†ุช F to the power ูˆุงุญุฏ ู†ุงู‚ุต BุŒ ูˆ B ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃูƒุจุฑ
564
+
565
+ 142
566
+ 00:10:42,640 --> 00:10:46,340
567
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุตูุฑุŒ B ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุตูุฑุŒ ู…ุนู†ู‰ ุฐู„ูƒ
568
+
569
+ 143
570
+ 00:10:46,340 --> 00:10:49,900
571
+ ุฃู†ู‡ ุฃูŠุถุงู‹ ุฃุณุชุทูŠุน ุฃู† ุฃู‚ูˆู„ ุฃู†ู‡ุง big O of FุŒ ุทูŠุจุŒ ู†ุญู„ู‘ู„
572
+
573
+ 144
574
+ 00:10:49,900 --> 00:10:55,280
575
+ ุงู„ู…ูˆุถูˆุนุŒ B ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ูŠุนู†ูŠ ุฃู‚ู„ ู‚ูŠู…ุฉ ู…ุงุฐุงุŸ ุตูุฑุŒ ูุฅุฐุง
576
+
577
+ 145
578
+ 00:10:55,280 --> 00:10:59,300
579
+ ูƒุงู†ุช ุตูุฑุŒ ุฃุตุจุญุช ุงู„ู€ function ู†ูุณู‡ุงุŒ ุทูŠุจ ุงู„ู€ function
580
+
581
+ 146
582
+ 00:10:59,300 --> 00:11:02,340
583
+ ู†ูุณู‡ุงุŒ ู…ุง ู‡ูŠ big O of functionุŒ ู„ุง ู…ุดูƒู„ุฉุŒ ู„ู…
584
+
585
+ 147
586
+ 00:11:02,340 --> 00:11:08,400
587
+ ูŠุชุบูŠุฑ ุดูŠุกุŒ ุทูŠุจ ุฅุฐุง ูƒุงู†ุช ุฃูƒุจุฑุŒ ุฃูƒุจุฑุŒ ุจู…ุนู†ู‰ ุฃู†ู‡ ู‡ู†ุง
588
+
589
+ 148
590
+ 00:11:08,400 --> 00:11:14,640
591
+ ูˆุงุญุฏ ู…ุซู„ุงู‹ุŒ ุฅุฐุง ูˆุงุญุฏุŒ ุชุตุจุญ constantุŒ ู„ูŠุณ ู‡ูƒุฐุงุŒ ุฃุตุจุญุช
592
+
593
+ 149
594
+ 00:11:14,640 --> 00:11:17,860
595
+ ุชุตุจุญ ุตูุฑุŒ constantุŒ ุทูŠุจ ุงู„ู€ constant ู„ูŠุณ ู…ุดู…ูˆู„ ุถู…ู†
596
+
597
+ 150
598
+ 00:11:17,860 --> 00:11:21,540
599
+ ุงู„ู€ big O of FุŒ ุจุฏู„ูŠู„ ุฃู†ู†ุง ู‚ู„ู†ุง ุฃู†ู‡ ุฃูƒุจุฑ ู…ู†
600
+
601
+ 151
602
+ 00:11:21,540 --> 00:11:28,520
603
+ constantุŒ ู„ูƒู„ function ุฃูƒุจุฑ ู…ู† constantุŒ ูˆูุนู„ูŠุงู‹ ุฃูˆ
604
+
605
+ 152
606
+ 00:11:28,520 --> 00:11:31,540
607
+ ุชุณุงูˆูŠ constantุŒ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ูƒุชุงุจ ุงู„ุฐูŠ ุฐูƒุฑู‡ุง big
608
+
609
+ 153
610
+ 00:11:31,540 --> 00:11:36,880
611
+ ุฃูŠุถุงู‹ ู…ุงุดูŠุŒ ุงู„ู€ factุŒ ุงู„ุญู‚ูŠู‚ุฉ ุตุญูŠุญุฉุŒ ุงู„ุญู‚ูŠู‚ุฉุŒ ุงู„ูƒุชุงุจ
612
+
613
+ 154
614
+ 00:11:36,880 --> 00:11:40,500
615
+ ุงู„ุฐูŠ ุฐูƒุฑู‡ุง ุตุญูŠุญุฉุŒ ุชู…ุดูŠุŒ ู„ุง ู…ุดูƒู„ุฉุŒ ุทูŠุจุŒ logุŒ ูƒู„ู†ุง
616
+
617
+ 155
618
+ 00:11:40,500 --> 00:11:44,640
619
+ ู†ุนุฑู ุฃู† ุงู„ู€ log ุฃู‚ู„ ู…ู† ุงู„ู€ function ู†ูุณู‡ุงุŒ ู„ูˆ ุนู†ุฏูƒ
620
+
621
+ 156
622
+ 00:11:44,640 --> 00:11:51,580
623
+ linearุŒ ู„ู€ inุŒ ู…ุง ู‡ูŠ inุŸ ุนู†ุฏู…ุง ุชู‚ูˆู„ุŒ ุชุณุงูˆูŠ N ู…ุจุงุดุฑุฉู‹ุŒ
624
+
625
+ 157
626
+ 00:11:51,580 --> 00:11:56,020
627
+ ูƒุฃู†ู†ูŠ ุฃู‚ูˆู„ ุฃู†ู‡ุง ุฎุทูŠุฉุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุง ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ
628
+
629
+ 158
630
+ 00:11:56,020 --> 00:11:57,860
631
+ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ
632
+
633
+ 159
634
+ 00:11:57,860 --> 00:11:57,900
635
+ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ
636
+
637
+ 160
638
+ 00:11:57,900 --> 00:11:58,000
639
+ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€
640
+
641
+ 161
642
+ 00:11:58,000 --> 00:11:58,080
643
+ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุง
644
+
645
+ 162
646
+ 00:11:58,080 --> 00:12:07,660
647
+ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ logุŒ ุงู„ุชูŠ
648
+
649
+ 163
650
+ 00:12:07,660 --> 00:12:09,520
651
+ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€
652
+
653
+ 164
654
+ 00:12:15,700 --> 00:12:19,580
655
+ ุนู†ุฏ ุงู„ู…ุฆุฉ ู‡ู†ุง ูƒุงู†ุช ุงุซู†ุงู†ุŒ ู‡ู†ุง ู…ุฆุฉุŒ ูุนู„ูŠุงู‹ linearุŒ
656
+
657
+ 165
658
+ 00:12:19,580 --> 00:12:23,900
659
+ ูุฅุฐุง ูˆุงุถุญ ุฃู†ู‡ ูุนู„ุงู‹ ุฃู‚ู„ ู…ู† ุงู„ู€ linearุŒ ุฃู‚ู„ ู…ู† ุงู„ู€
660
+
661
+ 166
662
+ 00:12:23,900 --> 00:12:27,400
663
+ linearุŒ ูุงู„ู€ log ุฅุฌู…ุงู„ุงู‹ ุฃูŠุถุงู‹ ู…ุดู…ูˆู„ ู…ุน ุงู„ู€ big O of FุŒ
664
+
665
+ 167
666
+ 00:12:27,400 --> 00:12:34,120
667
+ ู…ุดู…ูˆู„ ู„ุฃู†ู‡ ุฃู‚ู„ ู…ู†ู‡ุŒ ุฃู‚ู„ ู…ู†ู‡ุŒ ุชู…ุงู…ุŒ ู†ูุณ ุงู„ููƒุฑุฉุŒ ู…ุฌู…ูˆุน
668
+
669
+ 168
670
+ 00:12:34,120 --> 00:12:37,780
671
+ ุงู„ู€ functionsุŒ ุนู†ุฏู…ุง ูŠูƒูˆู† ู„ุฏูŠู†ุง G belong to big O of
672
+
673
+ 169
674
+ 00:12:37,780 --> 00:12:47,560
675
+ FุŒ ูˆ H belong to big O of FุŒ ุฃูŠุถุงู‹ุŒ ู„ุฏูŠ G ุชุฑุจูŠุนูŠุฉุŒ ูˆ H
676
+
677
+ 17
678
+
679
+ 223
680
+ 00:16:43,410 --> 00:16:48,810
681
+ big O of F ุฒูŠ ู†ู‚ูˆู„ X to the power minus one ุงุญู†ุง
682
+
683
+ 224
684
+ 00:16:48,810 --> 00:16:51,910
685
+ ุนุงุฑููŠู† ุฃู† ู‡ุฐุง ูˆุงุญุฏ ุนู„ู‰ X ุจุชุตูŠุฑ ุทูŠุจ ูˆุงุญุฏ ุนู„ู‰ X
686
+
687
+ 225
688
+ 00:16:51,910 --> 00:16:57,250
689
+ ุฏุงุฆู…ุง ุฃู‚ู„ ู…ู† XุŒ ุฃูƒูŠุฏ ุฏุงุฆู…ุง ุฃู‚ู„ ู…ู† XุŒ ุตุญุŸ ูู…ุนู†ุงู‡ ุฃู‚ู„
690
+
691
+ 226
692
+ 00:16:57,250 --> 00:17:00,690
693
+ ุจู‚ุฏุฑ ุจุฃุฑูŠุญูŠุฉ ุฃู‚ูˆู„ ุฃู† ู‡ูŠ big O of X ู„ุฃู† X ุฏุงุฆู…ุง
694
+
695
+ 227
696
+ 00:17:00,690 --> 00:17:06,150
697
+ ุฃูƒุจุฑ ู…ู† 1 ุนู„ู‰ XุŒ ุจุฏู„ูŠู„ ุฃู†ูƒ ุฃู†ุช ู‚ุงุนุฏ ุจุชู‚ูŠู… XุŒ X
698
+
699
+ 228
700
+ 00:17:06,150 --> 00:17:12,310
701
+ ุจุฎู…ุณุฉุŒ ุทูŠุจุŒ 1 ุนู„ู‰ XุŒ ุฎู…ุณุฉุŒ ุฃู‚ู„ุŒ X ุจู…ุฆุฉุŒ 1 ุนู„ู‰ 100ุŒ
702
+
703
+ 229
704
+ 00:17:12,310 --> 00:17:17,430
705
+ ุฃู‚ู„ุŒ ู‡ุชู„ุงู‚ูŠู‡ุง ุฏุงุฆู…ุง ุฃู‚ู„ ุทูˆู„ ู…ุง ุฃู†ุช ู‚ุงุนุฏ ุจุชุฒูˆุฏ ุนุฏุฏ
706
+
707
+ 230
708
+ 00:17:17,430 --> 00:17:23,020
709
+ ุงู„ู€ inputsุŒ ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู… XุŒ ูŠุนู†ูŠ ุทูŠุจ ุงู„ู€ log ุงู„ู€ log
710
+
711
+ 231
712
+ 00:17:23,020 --> 00:17:26,780
713
+ ู…ุชูู‚ูŠู† ู‡ูŠ ุฏุงุฆู…ุงุŒ ุฅุฐุง ูƒุงู† log x ู‡ูŠ ุฏุงุฆู…ุง big O of x
714
+
715
+ 232
716
+ 00:17:26,780 --> 00:17:33,600
717
+ ูˆู‡ูˆ ุงู„ุฏู„ูŠู„ ูˆุงุถุญ ู‚ุฏุงู…ู†ุงุŒ ู‡ูŠ ุงู„ู€ log ูˆู‡ูŠ ุงู„ู€ xุŒ ูุฎู„ุงุต
718
+
719
+ 233
720
+ 00:17:33,600 --> 00:17:41,020
721
+ ูƒูˆูŠุณุŒ ุฅูŠุด ููŠู‡ ูƒู…ุงู†ุŸ ุนู†ุฏู†ุง G ุจุชุณุงูˆูŠ big O of F ููŠ G
722
+
723
+ 234
724
+ 00:17:41,020 --> 00:17:46,650
725
+ ุจู…ุนู†ู‰ุŒ ุฅุฐุง ูƒุงู†ุช XX ู†ูุณู‡ุง ู…ู…ูƒู† ุชูƒูˆู† ู‡ูŠ big O of X
726
+
727
+ 235
728
+ 00:17:46,650 --> 00:17:56,170
729
+ ู…ุถุฑูˆุจ ููŠ ุฃูŠ function ุซุงู†ูŠุฉ ููˆู‚ ุงู„ูˆุงุญุฏุŒ ูุฅุฐุง
730
+
731
+ 236
732
+ 00:17:56,170 --> 00:18:01,150
733
+ ู„ุงุฒู… ุชูƒูˆู† ู‡ูŠ constant ูุฃูƒุซุฑุŒ ู„ุงุฒู… ุชูƒูˆู† ุฃุตู„ุง ุจุชูƒู„ู…
734
+
735
+ 237
736
+ 00:18:01,150 --> 00:18:07,360
737
+ ุนู† constant ูุฃูƒุซุฑุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฒูŠุงุฏุฉ ู‡ุฐุง constant ู…ุง
738
+
739
+ 238
740
+ 00:18:07,360 --> 00:18:10,580
741
+ ู‡ูŠ ู‡ุงูŠ constantุŒ ู‡ูŠ ูƒุฏู‡ ู…ุชุญู‚ู‚ุฉ ุฃุตู„ุง ุฃูƒุซุฑ ู…ู†
742
+
743
+ 239
744
+ 00:18:10,580 --> 00:18:13,580
745
+ constantุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ okayุŒ ู…ุงููŠุด ู…ุดูƒู„ุฉุŒ ู‡ุชุจู‚ู‰
746
+
747
+ 240
748
+ 00:18:13,580 --> 00:18:22,560
749
+ ู…ุดู…ูˆู„ุฉ ุงู„ู€ G ุฏุงุฎู„ู‡ุงุŒ ุฒูŠ ู„ู…ุง ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู„ุชุฑุจูŠุนุŒ ุงู„ุนูƒุณ
750
+
751
+ 241
752
+ 00:18:22,560 --> 00:18:29,600
753
+ N to the power ุชุฑุจูŠุนุŒ ู‡ุฐู‡ ุฃูƒูŠุฏ big O of N ุชุฑุจูŠุน
754
+
755
+ 242
756
+ 00:18:29,600 --> 00:18:36,030
757
+ ู…ุงููŠุด ุนู†ุฏู†ุง ู…ุดูƒู„ุฉุŒ ูƒูˆูŠุณุŒ ู„ูƒู† ู„ู…ุง ุฃู‚ูˆู„ in ุชุฑุจูŠุน ู‡ูŠ big
758
+
759
+ 243
760
+ 00:18:36,030 --> 00:18:41,850
761
+ O of in ุชุฑุจูŠุน ููŠ inุŒ ุฅูŠุด ูŠุนู†ูŠุŸ
762
+
763
+ 244
764
+ 00:18:41,850 --> 00:18:45,410
765
+ ู‡ูŠ ุตุงุฑุช big O of in ุชูƒุนูŠุจุŒ ูŠุนู†ูŠ ุตุญุŒ ุงู„ู€ relation
766
+
767
+ 245
768
+ 00:18:45,410 --> 00:18:48,530
769
+ ุตุญูŠุญุฉุŒ ุจุณ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงุญู†ุง ูˆุณุนู†ุงู‡ุง ุฒูŠุงุฏุฉุŒ ู…ุด ุฃูƒุซุฑ ู…ู†
770
+
771
+ 246
772
+ 00:18:48,530 --> 00:18:53,390
773
+ ู‡ูŠูƒุŒ ุฃู…ุง ุฑูŠุงุถูŠุง ุตุญูŠุญุŒ ุฑูŠุงุถูŠุงุŒ ุงู„ุขู† ู„ู…ุง ู†ูŠุฌูŠ
774
+
775
+ 247
776
+ 00:18:53,390 --> 00:18:57,150
777
+ ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ู€ complexity ุชุงุนุช ุงู„ุฃูƒูˆุงุฏุŒ ู‡ู†ุงุฎุฏ ุงู„ู„ูŠ
778
+
779
+ 248
780
+ 00:18:57,150 --> 00:19:01,010
781
+ ุงุญู†ุง ุจุฏู†ุง ุฅูŠุงู‡ ู…ู† ุงู„ุฑูŠุงุถูŠุงุชุŒ ุจุณ ุงุญู†ุง ูุงู‡ู…ูŠู† ุฅูŠุด ูŠุนู†ูŠ
782
+
783
+ 249
784
+ 00:19:01,010 --> 00:19:05,100
785
+ ุงู„ู€ mathematicsุŒ ู‡ู†ุง mathematicsุŒ ุนุฏู†ุง ู„ู…ุง ู†ุฑูˆุญ ู„ู€ ุงู„ู€
786
+
787
+ 250
788
+ 00:19:05,100 --> 00:19:07,580
789
+ complexity ู„ู„ุฃูƒูˆุงุฏุŒ ุจู†ู‚ูˆู„ ุงุญู†ุง ุฅูŠุด ุงู„ู„ูŠ ุจุฏู†ุง ุฅูŠุงู‡
790
+
791
+ 251
792
+ 00:19:07,580 --> 00:19:11,900
793
+ ู…ู†ู‡ุŸ ู…ู† ูƒู„ ู‡ุงู„ู„ูŠ ุงุชุนู„ู…ู†ุงุŒ ุงุญู†ุง ุฅูŠุด ุจุฏู†ุง ู…ู†ู‡ุŸ
794
+
795
+ 252
796
+ 00:19:11,900 --> 00:19:17,490
797
+ ู‡ู‚ูˆู„ ู„ูƒ ุฃู†ู‡ ู„ุฃุŒ ุจุฏู†ุง more specificุŒ ุจุฏูƒ ุชุนุทูŠู†ูŠ ุชุญุฏูŠุฏ ู„ู„ู€
798
+
799
+ 253
800
+ 00:19:17,490 --> 00:19:22,950
801
+ codeุŒ ู„ุฃู†ูƒ ุจุฏูƒ ุชุตูŠุฑ ุชุนู…ู„ ุชุญู„ูŠู„ุŒ ุจุฏูƒ ุชุนู…ู„ analysis ู„ู„ู€
802
+
803
+ 254
804
+ 00:19:22,950 --> 00:19:26,550
805
+ codeุŒ ุทุจ ู‡ู„ ูŠุนู‚ู„ ุฃู†ูƒ ุฃู†ุช ุชูƒูˆู† ุชุนู…ู„ analysis ู„ู„ู€ code
806
+
807
+ 255
808
+ 00:19:26,550 --> 00:19:31,250
809
+ ูˆุฃู†ุช ู…ุด ูุงู‡ู… ุฃู‚ุฑุจ ุชู‚ุฑูŠุจ ู…ู…ูƒู† ู„ูˆุตู ุงู„ู€ codeุŸ ู„ุฃ
810
+
811
+ 256
812
+ 00:19:31,250 --> 00:19:34,730
813
+ ุจู†ูุนุดุŒ ู…ุนู†ุงู‡ ุฃู† ุฃู†ุช ุจุทู„ุช ู…ุญู„ู„ ุจุฑุงู…ุฌุŒ ุฃู†ุช ุจุฏูƒ ุชุชุฎุฑุฌ
814
+
815
+ 257
816
+ 00:19:34,730 --> 00:19:38,900
817
+ ุชุตูŠุฑ ู…ุญู„ู„ ุจุฑุงู…ุฌุŒ ุชู…ุณูƒ ุงู„ุจุฑู†ุงู…ุฌุŒ ุงู„ู€ code ุชุจุนูƒุŒ ูˆุชุญู„ู‡
818
+
819
+ 258
820
+ 00:19:38,900 --> 00:19:43,200
821
+ ุชุนุฑู ู‡ุฐุง ู…ู†ูŠุญ ูˆู„ุง ู…ุด ู…ู†ูŠุญุŒ ู…ุด ู…ุฌุฑุฏ ุฃู†ูƒ ู…ุจุฑู…ุฌ ุจุณุŒ ู„ุฃ
822
+
823
+ 259
824
+ 00:19:43,200 --> 00:19:47,020
825
+ ุฃู†ุช ุฃูƒุจุฑ ู…ู† ู…ุฌุฑุฏ ู…ุจุฑู…ุฌุŒ ุฃู†ุช ุฃูƒุจุฑ ู…ู† ู…ุฌุฑุฏ ู…ุจุฑู…ุฌุŒ ุจูƒุฑุง
826
+
827
+ 260
828
+ 00:19:47,020 --> 00:19:52,220
829
+ ุทูŠุจุŒ ูุฅุฐุง ู…ุชูู‚ูŠู† ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ ุฅูŠุด ุจุณูˆุงู‚ ุงู„ุนูƒุณ
830
+
831
+ 261
832
+ 00:19:52,220 --> 00:19:56,640
833
+ ุบูŠุฑ ุตุญูŠุญุŒ ุทุจุนุง ุงู„ุนูƒุณ ุบูŠุฑ ุตุญูŠุญุŒ ูŠุนู†ูŠ ู„ู…ุง ุชูŠุฌูŠ ุชู‚ูˆู„ูŠ
834
+
835
+ 262
836
+ 00:19:56,640 --> 00:20:00,320
837
+ ู‡ู„ ูˆุฌุฏ inter B ููŠ N ุตุงุฑุช N ุชูƒุนูŠุจุŒ ู‡ู„ ู‡ูŠ big O of
838
+
839
+ 263
840
+ 00:20:00,320 --> 00:20:05,150
841
+ inter BุŸ ุฃูƒูŠุฏ ู„ุฃุŒ ุฃูƒูŠุฏ ู„ุฃุŒ ุฃูƒูŠุฏ ู‡ูŠูƒูˆู† ู„ุฃุŒ ู…ุฏุงู… ุฃู†ุง
842
+
843
+ 264
844
+ 00:20:05,150 --> 00:20:11,090
845
+ ุจู‚ูˆู„ ุฃู† ุงู„ู€ F ู‡ูŠ ุฃูƒุจุฑ ู…ู† constant ูุฃูƒุซุฑุŒ ูุฅุฐุง ู„ุฃุŒ ุจู‚ุฏุฑุด
846
+
847
+ 265
848
+ 00:20:11,090 --> 00:20:14,210
849
+ ุฃู‚ูˆู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุตุญูŠุญุŒ ุจู‚ุฏุฑุด ู†ู‚ูˆู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุตุญูŠุญ
850
+
851
+ 266
852
+ 00:20:14,210 --> 00:20:20,970
853
+ ุงู„ู€ A ู‡ูŠ ุงู„ู€ constantุŒ ุฃูƒูŠุฏ ู‡ูŠ big O of FุŒ ุจุงุนุชุจุงุฑ
854
+
855
+ 267
856
+ 00:20:20,970 --> 00:20:25,250
857
+ ุฃู† ุงู„ู€ F ุจุฑุถู‡ ู‡ู†ุง ู…ุนุฑููŠู†ู‡ุง ู‡ูŠ constant ูุฃูƒุซุฑุŒ ูุฃูŠ
858
+
859
+ 268
860
+ 00:20:25,250 --> 00:20:30,090
861
+ constant ู‡ูˆ ุถู…ู† ู‡ุฐุง ุงู„ุชุนุฑูŠูุŒ ุถู…ู† ู‡ุฐุง ุงู„ุชุนุฑูŠู
862
+
863
+ 269
864
+ 00:20:31,120 --> 00:20:35,500
865
+ ุทุจุนุงุŒ ุงู„ุญุงุฌุฉ ุงู„ู„ูŠ ุจุญุจูˆู‡ุง ุฃูƒุซุฑ ุงู„ู…ุญู„ู„ูŠู† ู‡ูŠ
866
+
867
+ 270
868
+ 00:20:35,500 --> 00:20:39,660
869
+ ุงู„ู€ ฮธูŠุชุงุŒ ุงู„ู„ูŠ ุจูุถู„ูˆู‡ุง ุฃูƒุซุฑุŒ ุฃู† ู‡ูˆ ุนุทูŠู†ูŠ exactly
870
+
871
+ 271
872
+ 00:20:39,660 --> 00:20:43,940
873
+ orderุŒ exactly orderุŒ ูู‡ูŠ ุงู„ู€ ฮธูŠุชุงุŒ ูˆุงู„ู„ูŠ ู‡ูŠ ุจู‚ุฏุฑ ู…ู†
874
+
875
+ 272
876
+ 00:20:43,940 --> 00:20:48,960
877
+ ุฎู„ุงู„ู‡ุง ุฃู‚ูˆู„ุŒ ุฅุฐุง ูƒุงู†ุช F ู‡ูŠ big O of G ูˆ G big O of
878
+
879
+ 273
880
+ 00:20:48,960 --> 00:20:55,080
881
+ FุŒ ู…ุนู†ุงู‡ ุฃู†ู‡ G ูˆ F ู…ุชุณุงูˆูŠุชูŠู† exactlyุŒ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู†
882
+
883
+ 274
884
+ 00:20:55,080 --> 00:21:00,690
885
+ ุงู„ู€ F belonging to ฮธูŠุชุง ูˆ GุŒ ู‡ุฐู‡ ุงู„ู€ relation ุงู„ู„ูŠ
886
+
887
+ 275
888
+ 00:21:00,690 --> 00:21:05,850
889
+ ุจูŠุญุจูˆู‡ุง ุงู„ู…ู‡ู†ุฏุณูŠู†ุŒ ุงู„ู„ูŠ ู‡ูˆ ู…ุญู„ู„ูŠู† ุงู„ุจุฑุงู…ุฌุŒ ุนุทูŠู†ูŠ
890
+
891
+ 276
892
+ 00:21:05,850 --> 00:21:09,790
893
+ ฮธูŠุชุงุŒ ูƒู„ ู…ุง ุนุทุชู†ูŠ ฮธูŠุชุง ุจูƒูˆู† ุจุฃุซู‚ ุจู‚ุฑุงุฑูƒ ุฃูƒุซุฑ
894
+
895
+ 277
896
+ 00:21:09,790 --> 00:21:14,990
897
+ ุจู‚ุฏุฑ ุฃุซู‚ ุฃูƒุซุฑ ุจู‚ุฑุงุฑูƒุŒ ุชู…ุงู…ุŒ ูู‡ูŠ ุงู„ููƒุฑุฉ ุจุจุณุงุทุฉ ุทุจุนุง
898
+
899
+ 278
900
+ 00:21:14,990 --> 00:21:19,350
901
+ ุฅูŠุด ุจุชุฎุชู„ู ุงู„ู€ ฮธูŠุชุง ุนู† ุงู„ู€ big O ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ู…ุŸ
902
+
903
+ 279
904
+ 00:21:19,350 --> 00:21:26,550
905
+ ุจุชุฎุชู„ู ููŠ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุงู„ู„ูŠ ู‡ูŠ ู‡ุชุญูƒู… ู„ูŠ ุฃู†ู‡ ู…ุง ุชู„ูŽุจุณู†ูŠุด
906
+
907
+ 280
908
+ 00:21:26,550 --> 00:21:31,470
909
+ top ุฃูƒุจุฑ ู…ู† tobyุŒ ุจุจุณุงุทุฉุŒ ุจุจุณุงุทุฉ ุจุชุญูƒู… ู„ูŠ ุฃู†ู‡ ู„ุฃุŒ ูƒู„
910
+
911
+ 281
912
+ 00:21:31,470 --> 00:21:35,150
913
+ ุญุงุฌุฉ ุจุงู„ุธุจุทุŒ ุฌุงูŠุจ ู„ูŠ ุนู„ู‰ ุฌุฏู‘ูŠุŒ ู„ู…ุง ุชูˆุตู ู„ูŠ ูˆุตูู†ูŠ ุนู„ู‰
914
+
915
+ 282
916
+ 00:21:35,150 --> 00:21:43,090
917
+ ุฌุฏู‘ูŠุŒ ุจุณ ุทูŠุจ ู‡ูŠ ุดุจูŠู‡ุฉ ุจุงู„ู€ big O ู„ูƒู† ู…ุน ุงุฎุชู„ุงู ุฃู† ุงู„ู€
918
+
919
+ 283
920
+ 00:21:43,090 --> 00:21:48,550
921
+ A F ู‡ูŠ ู†ูุณู‡ุง ฮธูŠุชุง of FุŒ ู…ุด ู…ุดูƒู„ุฉ ุงู„ู€ constant ู…ุง ูŠุบูŠู‘ุฑ ุดูŠุกุŒ ู…ุง ูŠุบูŠู‘ุฑ ุดูŠุกุŒ ู„ูƒู† ู„ู…ุง ุจู‚ูˆู„ F not belong to big
922
+
923
+ 284
924
+ 00:21:48,550 --> 00:21:53,150
925
+ ฮธูŠุชุง of F G F GุŒ ู‡ุฐู‡ ูŠุนู†ูŠ ุฃู† ุฃู†ุช ุฌุจุช ู„ูŠ top ูƒุจูŠุฑุŒ ู„ุฃ
926
+
927
+ 285
928
+ 00:21:53,150 --> 00:21:59,950
929
+ ู…ุด ู…ู‚ุจูˆู„ ุฃู‚ูˆู„ ุฃู† ู‡ูŠ ฮธ ู…ุงุดูŠุฉุŒ ู„ุฃุŒ ฮธ ู‡ูŠูƒ ู…ุด ู…ุงุดูŠุฉุŒ ู„ุฃู†ู‡
930
+
931
+ 286
932
+ 00:21:59,950 --> 00:22:04,010
933
+ ู‡ู†ุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ุชูƒูˆู† ู‡ู†ุง in ุชูƒุนูŠุจ ูˆู‡ู†ุง in
934
+
935
+ 287
936
+ 00:22:04,010 --> 00:22:07,470
937
+ ุชุฑุจูŠุนุŒ ุจูŠุฌูˆุฒุŒ ุจุงู„ู…ุญุงู„ุŒ ุงุญู†ุง ุทุจุนุง ุฎุฏู†ุงู‡ุง ุจุณ ูƒุงู†ุช
938
+
939
+ 288
940
+ 00:22:07,470 --> 00:22:14,170
941
+ ุจูŠุฌูˆุฒ ู…ุงุดูŠุฉ validุŒ ูˆู‚ู„ู†ุง ู…ุงููŠุด ู…ุดูƒู„ุฉ ุฑูŠุงุถูŠุงุŒ ู…ุงููŠุด
942
+
943
+ 289
944
+ 00:22:14,170 --> 00:22:18,590
945
+ ู…ุดูƒู„ุฉุŒ ู‚ู„ู†ุง ุจุณ ุงุญู†ุง ู„ูŽุจูŽุณู’ู†ุงู‡ุงุŒ top ุฃูƒุจุฑุŒ ูˆุจุงู„ู…ุญุงู„
946
+
947
+ 290
948
+ 00:22:18,590 --> 00:22:21,770
949
+ ุฒูŠ ู„ู…ุง ุชู‚ูˆู„ ุจุฏูƒ x ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุฎู…ุณุฉุŒ ู‡ู‚ูˆู„ ู„ูƒ ุทุจ
950
+
951
+ 291
952
+ 00:22:21,770 --> 00:22:25,890
953
+ ู…ุงุดูŠุŒ ุฎุฏ ุณุงู„ุจ ู…ุฆุฉุŒ ุชู‚ุฏุฑ ุชู‚ูˆู„ ู„ูŠ ุบู„ุทุŸ ู„ุฃุŒ ุจุณ ุฃู†ุง ูƒุซูŠุฑ
954
+
955
+ 292
956
+ 00:22:25,890 --> 00:22:30,920
957
+ ูŠุนู†ูŠ ุฑู…ูŠุช ุฑู‚ู… ุจุนูŠุฏุŒ ูŠุนู†ูŠ ู…ุด ูƒุซูŠุฑ ู…ู†ุทู‚ูŠุŒ ุชู…ุงู…ุŒ ุทูŠุจ ู†ูุณ
958
+
959
+ 293
960
+ 00:22:30,920 --> 00:22:39,000
961
+ ุงู„ูƒู„ุงู… ุจู…ูŽู†ุŸ ู„ุฃุŒ ุงู„ู€ to the power minus constant
962
+
963
+ 294
964
+ 00:22:39,000 --> 00:22:44,040
965
+ ุตุงุฑุช inverseุŒ ุงู„ู€ inverse ู‡ูŠ ู„ุง ุชุณุงูˆูŠ ุงู„ู€ function
966
+
967
+ 295
968
+ 00:22:44,040 --> 00:22:49,240
969
+ ู†ูุณู‡ุงุŒ ุงู„ู€ inverse ู„ุง ุชุณุงูˆูŠ ุงู„ู€ functionุŒ ู‡ูŠ ุชุณุงูˆูŠ ุฃู‚ู„
970
+
971
+ 296
972
+ 00:22:49,240 --> 00:22:52,600
973
+ ู…ู†ู‡ุงุŒ ุขู‡ุŒ ุชุณุงูˆูŠ ุฃู‚ู„ ู…ู†ู‡ุงุŒ ูู€ big O ุจุงู„ู… ุญุงู„ุŒ ู„ูƒู† big
974
+
975
+ 297
976
+ 00:22:52,600 --> 00:22:55,560
977
+ ฮธูŠุชุง ู„ุฃุŒ big ฮธูŠุชุง ู‡ู†ุง ุจุชูุตู’ุจูุชุŒ X ู„ุง ุชุณุงูˆูŠ ุณุงู„ุจ
978
+
979
+ 298
980
+ 00:22:55,560 --> 00:23:01,430
981
+ ุนููˆุงุŒ ูˆุงุญุฏ ุนู„ู‰ XุŒ ู„ุง ูŠู…ูƒู† ุชุณุงูˆูŠู‡ุงุŒ ูู‡ู†ุง ุจุนูƒุณ ุงู„ู€ big O
982
+
983
+ 299
984
+ 00:23:01,430 --> 00:23:08,090
985
+ ู‡ู†ุง ู„ุง ุชุณุงูˆูŠู‡ุงุŒ ุทูŠุจ ุงู„ู€ log ู†ูุณ ุงู„ูƒู„ุงู…ุŒ ู„ุง ูŠุณุงูˆูŠุŒ ู„ุฃู†
986
+
987
+ 300
988
+ 00:23:08,090 --> 00:23:13,190
989
+ ุงู„ู€ log ู‡ูŠ ุจูŠู†ู‡ู…ุŒ ู‡ูŠ ุฃู‚ู„ุŒ ู‡ูŠ ูุนู„ูŠุง ุฃู‚ู„ุŒ ุชุณุงูˆูŠ ู„ุฃุŒ
990
+
991
+ 301
992
+ 00:23:13,190 --> 00:23:18,150
993
+ ู„ุง ุชุณุงูˆูŠุŒ ูู‡ูŠ ุงู„ูุฑู‚ ุงู„ูˆุญูŠุฏ ุจูŠู† ุงู„ู€ big O ูˆ ุงู„ู€ big
994
+
995
+ 302
996
+ 00:23:18,150 --> 00:23:21,550
997
+ ฮธูŠุชุงุŒ ุงู„ู€ big ฮธูŠุชุงุŒ exactly ุชุณุงูˆูŠ ุงู„ู€ order ุจุงู„ุธุจุท
998
+
999
+ 303
1000
+ 00:23:21,550 --> 00:23:26,110
1001
+ ูƒูˆูŠุณุŒ ูู€ strictly ููŠ
1002
+
1003
+ 304
1004
+ 00:23:26,110 --> 00:23:31,150
1005
+ ุงู„ู€ orderุŒ ู†ูุณ ุงู„ู€ orderุŒ ู†ุงุฎุฏ ู…ุซุงู„ุŒ ู†ุงุฎุฏ ู…ุซุงู„ุŒ ู†ุฑูˆุญ ู„ู€
1006
+
1007
+ 305
1008
+ 00:23:31,150 --> 00:23:35,630
1009
+ EulerุŒ ู…ุงุฐุง ุฐูƒุฑู†ุงุŸ Euler summation
1010
+
1011
+ 306
1012
+ 00:23:40,820 --> 00:23:44,780
1013
+ ุฃูˆู„ู‰ ู„ู…ุง ุฌุฆู†ุง ุจุชุนู…ู„ summation ู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃุฑู‚ุงู… ู…ู† 1
1014
+
1015
+ 307
1016
+ 00:23:44,780 --> 00:23:49,820
1017
+ to NุŒ ูƒูˆูŠุณุŒ ุฎู„ุงุต ุฃุฎุฏู†ุงู‡ุงุŒ ูˆูƒู„ู†ุง ู…ุชูู‚ูŠู† ุฃู†ู‡ ุฌุฆู†ุง N ููŠ
1018
+
1019
+ 308
1020
+ 00:23:49,820 --> 00:23:54,120
1021
+ N ุฒุงุฆุฏ 1 ุนู„ู‰ 2ุŒ ูˆุงู†ุชู‡ุช ุนู„ู‰ ู‡ูŠูƒุŒ N ููŠ N ุฒุงุฆุฏ 1 ุนู„ู‰ 2
1022
+
1023
+ 309
1024
+ 00:23:54,120 --> 00:23:59,180
1025
+ ุทูŠุจุŒ ู„ุญุธูˆุง ุงู„ู€ input ุชุจุนู†ุง ู‡ูˆ ูุนู„ุง ุงู„ู…ุฏุฎู„ุงุชุŒ ุงู„ู€ NุŒ ุฃู†ุช
1026
+
1027
+ 310
1028
+ 00:23:59,180 --> 00:24:01,800
1029
+ ุงู„ู„ูŠ ุจุชุบูŠุฑู‡ ู‡๏ฟฝ๏ฟฝุงุŒ ุงู„ู…ุชุบูŠุฑ ุนู†ุฏูƒุŒ ุงู„ู€ variable ุนู†ุฏูƒ ู‡ูŠ
1030
+
1031
+ 311
1032
+ 00:24:01,800 --> 00:24:05,760
1033
+ ู‚ูŠู…ุฉ NุŒ ุดูƒุŸ ุทูŠุจ ู‚ูŠู…ุฉ N ู‡ุฐู‡ ู…ู…ูƒู† ุชุงุฎุฏู‡ุง ุฎู…ุณุฉ ุนุดุฑ
1034
+
1035
+ 312
1036
+ 00:24:05,760 --> 00:24:10,220
1037
+ ุนุดุฑูŠู†ุŒ ุซู„ุงุซูŠู†ุŒ ู…ุชุบูŠุฑุฉุŒ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชุบูŠุฑุฉุŒ ู‡ูŠ
1038
+
1039
+ 313
1040
+ 00:24:10,220 --> 00:24:12,440
1041
+ ู…ุฌู…ูˆุนุฉ ุงู„ู€ input ุงู„ู„ูŠ ุฃู†ุช ุจุฏูƒ ุชุฏุฎู„ู‡ ู…ุนุงู‡ุงุŒ ุงู„ู€
1042
+
1043
+ 314
1044
+ 00:24:12,440 --> 00:24:17,420
1045
+ summationุŒ ุชู…ุงู…ุŒ ูƒู„ู†ุง ุนุงุฑููŠู† ู„ู…ุง ุจู‚ูˆู„ in ุฒุงุฆุฏ ูˆุงุญุฏ
1046
+
1047
+ 315
1048
+ 00:24:17,420 --> 00:24:23,440
1049
+ ูู‡ูŠ ุงู„ู€ order in ุฒุงุฆุฏ constantุŒ ูุจุชุถู„ ุงู„ู€ order in
1050
+
1051
+ 316
1052
+ 00:24:23,440 --> 00:24:29,760
1053
+ ูุจุชุถู„ order inุŒ ู…ุด ู…ุดูƒู„ุฉุŒ big ฮธูŠุชุง exactly order in
1054
+
1055
+ 317
1056
+ 00:24:29,760 --> 00:24:35,960
1057
+ ูู‡ูŠ ุชุณุงูˆูŠ ุงู„ู€ order inุŒ ุทูŠุจ ุงู„ู€ order in ููŠ constant
1058
+
1059
+ 318
1060
+ 00:24:35,960 --> 00:24:42,710
1061
+ ู†ุตูุŒ ุนู„ู‰ 2ุŒ ู…ุง ู‡ูŠ constantุŒ ู…ุด ู‡ูŠูƒ ุจุชุถู„ ู†ูุณ ุงู„ู€ order in
1062
+
1063
+ 319
1064
+ 00:24:42,710 --> 00:24:45,730
1065
+ ุทูŠุจ
1066
+
1067
+ 320
1068
+ 00:24:45,730 --> 00:24:51,070
1069
+ ุฌูŠุฏ ุฌุฏุงุŒ ุงู„ู€ order in ููŠ in ููŠ order inุŒ ุจุฑุถู‡ ููŠ ู†ูุณ
1070
+
1071
+ 321
1072
+ 00:24:51,070 --> 00:24:55,730
1073
+ ุงู„ู€ order inุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุตุงุฑุช ู‡ู†ุง ฮธูŠุชุง of nุŒ ูˆู‡ุฐู‡ ุจุฑุถู‡ ฮธูŠุชุง
1074
+
1075
+ 322
1076
+ 00:24:55,730 --> 00:25:01,350
1077
+ of nุŒ ุฃูƒูŠุฏ ุงู„ุชุฑุจูŠุนุŒ ูุฃู†ุช ุจุชู…ุณูƒู‡ู… ุชุถุฑุจู‡ู… ุฒูŠ ู…ุง ู‡ู…
1078
+
1079
+ 323
1080
+ 00:25:01,350 --> 00:25:05,230
1081
+ ุฃุฎุฐู†ุงู‡ุง fact ุจุฑุถู‡ ู„ู„ู€ big OุŒ ูˆู‡ู†ุง ู…ู…ุงุซู„ุฉ ู„ู‡ุง ููŠ ุงู„ู€
1082
+
1083
+ 324
1084
+ 00:25:05,230 --> 00:25:11,940
1085
+ big ฮธูŠุชุงุŒ in ููŠ inุŒ in ุชุฑุจูŠุนุŒ ุชุฑุจูŠุน ููŠ in ุชูƒุนูŠุจุŒ ูˆ
1086
+
1087
+ 325
1088
+ 00:25:11,940 --> 00:25:14,920
1089
+ ู‡ูƒุฐุงุŒ ูุฅุฐู† ู‡ุฐู‡ ุจุชุณุงูˆูŠ in ุชุฑุจูŠุนุŒ ูุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ุงู„ู€
1090
+
1091
+ 326
1092
+ 00:25:14,920 --> 00:25:18,500
1093
+ summation ู‡ุฐุง ู‡ูˆ ู…ู† ุงู„ู€ order ุงู„ุซุงู†ูŠ ุฃูˆ second
1094
+
1095
+ 327
1096
+ 00:25:18,500 --> 00:25:23,500
1097
+ orderุŒ ูƒู€ code ุนุดุงู† ู†ูƒุชุจ code ู„ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ ู‡ูŠูƒูˆู†
1098
+
1099
+ 328
1100
+ 00:25:23,500 --> 00:25:27,400
1101
+ ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุนุดุงู† ู†ุทุจู‚ู‡ุงุŒ ุจุฏู‡ุง second orderุŒ ุจุฏู‡ุง
1102
+
1103
+ 329
1104
+ 00:25:27,400 --> 00:25:33,280
1105
+ second order ูƒู€ complexityุŒ ู…ู…ูƒู† ู‡ุฐู‡ ุงุญู†ุง ุณุจู‚ู†ุง ููŠู‡ุง
1106
+
1107
+ 330
1108
+ 00:25:33,280 --> 00:25:37,980
1109
+ ุณุจู‚ู†ุง ููŠ ุญูƒุงูŠุฉ ุงู„ู€ ฮธูŠุชุงุŒ ุงู„ู€ big ฮธูŠุชุงุŒ ูˆ ุงู„ู€ small o
1110
+
1111
+ 331
1112
+ 00:25:37,980 --> 00:25:45,980
1113
+ ูˆ ุงู„ู€ small omegaุŒ small omegaุŒ ุฃุฎุฏู†ุงู‡ู… ูƒู„ู‡ู…ุŒ ู‡ุฐู‡ ูˆ
1114
+
1115
+ 332
1116
+ 00:25:45,980 --> 00:25:49,880
1117
+ ู‡ุฐู‡ ูˆู‡ุฐู‡ุŒ ูƒู„ู‡ู… ุฃุฎุฏู†ุงู‡ู…ุŒ ุงู„ูุฑู‚ ูƒุงู† ููŠ ูˆูŠู†ุŸ ููŠ ุฃูƒุจุฑ ู…ู†
1118
+
1119
+ 333
1120
+ 00:25:49,880 --> 00:25:55,860
1121
+ ุฃูˆ ุฅูŠุดุŸ ุฃูˆ ุฃุตุบุฑ ู…ู†ุŒ ูู‡ู†ุง belonged toุŒ ุงู„ุนูƒุณุŒ ุฅุฐุง ูƒู†ุช
1122
+
1123
+ 334
1124
+ 00:25:55,860 --> 00:25:56,520
1125
+ ุจุชูƒู„ู… ุนู†
1126
+
1127
+ 335
1128
+ 00:26:00,010 --> 00:26:04,090
1129
+ GุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ูŠ ูƒู„ ุงู„ู€ functions F ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† G
1130
+
1131
+ 336
1132
+ 00:26:04,090 --> 00:26:09,970
1133
+ ู„ุงุญุธุŒ ุตุงุฑุช ุงู„ู€ ุจุงู„ุนูƒุณ ุจุงู„ู†ุณุจุฉ ู„ู…ู†ุŸ ู„ู„ู€ OุŒ ูู‡ูŠ ุนูƒุณ ุงู„ู€ O
1134
+
1135
+ 337
1136
+ 00:26:09,970 --> 00:26:18,230
1137
+ ูŠุนู†ูŠ ุตุงุฑุช F belong to of G ู‡ูŠ ู†ูุณู‡ุง G belong big O
1138
+
1139
+ 338
1140
+ 00:26:18,230 --> 00:26:25,400
1141
+ of FุŒ ุนูƒุณ ุจุนุถุŒ ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠุŒ ูˆุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ
1142
+
1143
+ 339
1144
+ 00:26:25,400 --> 00:26:31,380
1145
+ ู†ูุณ ุงู„ู€ relation ุจุณ ุนูƒุณูŠุฉุŒ ุจุชุตูŠุฑ ุนูƒุณูŠุฉุŒ ุชู…ุงู…ุŒ ุงู„ู€ small
1146
+
1147
+ 340
1148
+ 00:26:31,380 --> 00:26:35,860
1149
+ ู†ูุณ ุชุนุฑูŠู ุงู„ู€ big ุจุณ ุจุฏูˆู† ู…ุง ู†ุญุท ุฃูˆ ูŠุณุงูˆูŠุŒ ู‡ู†ุง ุชุนุฑูŠู
1150
+
1151
+ 341
1152
+ 00:26:35,860 --> 00:26:39,000
1153
+ ุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ุดุฑุญู†ุงู‡ ู…ุน ุงู„ู…ุนุงุฏู„ุชูŠู† ุชุจุน
1154
+
1155
+ 342
1156
+ 00:26:39,000 --> 00:26:44,200
1157
+ ุงู„ู€ linear ูˆุงู„ุชุฑุจูŠุน ูู‚ุทุŒ ุจุณ ู…ุด ู‡ู†ุญุท ู‡ู†ุง ุฃูˆ ูŠุณุงูˆูŠ
1158
+
1159
+ 343
1160
+ 00:26:44,890 --> 00:26:48,670
1161
+ ูุจุชุตูŠุฑ ุฃุตุบุฑ ู…ู†ุŒ strictly ุฃุตุบุฑ ู…ู†ุŒ ุงู„ู€ smallุŒ ุงู„ู€ small
1162
+
1163
+ 344
1164
+ 00:26:48,670 --> 00:26:53,190
1165
+ ู‡ูŠ ู†ูุณ ุงู„ู€ capital ูˆู„ูƒู† ุจุฏูˆู† ุงู„ูŠุณุงูˆูŠุŒ ู„ูŠู‡ุŸ ุงู„ุชุณู‡ูŠู„
1166
+
1167
+ 345
1168
+ 00:26:53,190 --> 00:27:01,030
1169
+ ู‡ู†ูƒุชุจู‡ู… ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุงุญู†ุง ุดุงูŠููŠู†ู‡ุŒ if
1170
+
1171
+ 346
1172
+ 00:27:01,030 --> 00:27:04,370
1173
+ ุชู‚ุฑูŠุจุง ุฃู‚ู„ ู…ู†ุŒ ุจุณ ุฃู†ุง ู‡ู†ุง ุจู‚ูˆู„ ุฃู‚ู„ ู…ู†ุŒ as a function
1174
+
1175
+ 347
1176
+ 00:27:04,370 --> 00:27:07,810
1177
+ ูƒู€ orderุŒ ูุจุญุทู‡ุงุดุŒ ุงู„ุฃู‚ู„ ู…ู† ุงู„ุทุจูŠุนูŠุฉ ุจู†ุญุท ู‡ูŠูƒ ุดูˆูŠุฉ
1178
+
1179
+ 348
1180
+ 00:27:07,810 --> 00:27:16,010
1181
+ ู…ุฏู„ุนุฉุŒ ูŠุนู†ูŠ ุดูˆูŠุฉ ู…ุฏู„ุนุฉุŒ ุงู„ุนู„ุงู…ุฉุŒ ุฏู„ุนูˆู‡ุง ุดูˆูŠุฉ ุนุดุงู† ู†ุนุฑู
1182
+
1183
+ 349
1184
+ 00:27:16,010 --> 00:27:19,530
1185
+ ุฃู† ุฃู†ุง ุจุชูƒู„ู… ุนู† order ู…ุด ุนู† two terms ุฃูˆ two
1186
+
1187
+ 350
1188
+ 00:27:19,530 --> 00:27:23,870
1189
+ valuesุŒ ูƒูˆูŠุณุŒ ูุจู†ู‚ูˆู„ if ุงู„ู€ order of f ุฃู‚ู„ ู…ู† ุงู„ู€
1190
+
1191
+ 351
1192
+ 00:27:23,870 --> 00:27:31,870
1193
+ order of gุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ูŠ small oุŒ ู„ู…ุง ู†ู‚ูˆู„ ุชู‚ุฑูŠุจุง
1194
+
1195
+ 352
1196
+ 00:27:31,870 --> 00:27:36,910
1197
+ approximatelyุŒ ู…ุนู†ุงุชู‡ ฮธูŠุชุงุŒ ุจู†ุณู…ูŠู‡ุง ฮธูŠุชุงุŒ ูู‡ูŠ ุนู„ุงู…ุฉ
1198
+
1199
+ 353
1200
+ 00:27:36,910 --> 00:27:43,760
1201
+ ฮธูŠุชุงุŒ ูƒูˆูŠุณุŒ ูƒู„ู†ุง ุนุงุฑููŠู† ุฃู† ู„ูˆ ุชูƒูˆู† if small O of G
1202
+
1203
+ 354
1204
+ 00:27:43,760 --> 00:27:50,840
1205
+ ู…ุนู†ุงุชู‡ ุฃู† F ูุนู„ูŠุง ุฃู‚ู„ ู…ู† GุŒ strictly ุฃู‚ู„ ู…ู† GุŒ ู„ุง
1206
+
1207
+ 355
1208
+ 00:27:50,840 --> 00:27:55,900
1209
+ ุชุณุงูˆูŠุŒ ู‡ูŠ ู…ุด big OุŒ ู‡ูŠ small OุŒ ู…ุฏุงู… strictly ู‡ูŠ
1210
+
1211
+ 356
1212
+ 00:27:55,900 --> 00:28:00,700
1213
+ ุฃู‚ู„ ู…ู†ุŒ ุฃู‚ู„ ู…ู†ุŒ ูŠู…ูƒู† ุฃู‚ู„ ู…ู† ู‚ูŠู…ุฉ ูŠุฏูˆุจ ุตุบูŠุฑุฉ ุฌุฏุงุŒ
1214
+
1215
+ 357
1216
+ 00:28:00,700 --> 00:28:03,980
1217
+ ู…ุด ู‡ูŠูƒุŸ ูŠุนู†ูŠ ุงู„ุงุซู†ูŠู† ู‡ูŠุจุฏุงูˆุง ู…ุน ุจุนุถุŒ ูˆุจุนุฏูŠู†
1218
+
1219
+ 358
1220
+ 00:28:03,980 --> 00:28:06,740
1221
+ ุจุฏุฃูˆุง ูŠุจุนุฏูˆุง ุดูˆูŠุฉ ุดูˆูŠุฉ ุนู† ุจุนุถุŒ ุดูˆูŠุฉ ุดูˆูŠุฉ ุดูˆูŠุฉ ุดูˆูŠุฉ
1222
+
1223
+ 359
1224
+ 00:28:06,740 --> 00:28:11,510
1225
+ ุฃู†ุง ุถุงู…ู† ุฃู†ู‡ ููŠ ุงู„ู€ infinityุŒ ููŠ ุงู„ู€ infinity ู‡ูŠูƒูˆู†
1226
+
1227
+ 360
1228
+ 00:28:11,510 --> 00:28:16,410
1229
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุตุงุฑ ุดุงุณุน ุฌุฏุงุŒ ู„ุฏุฑุฌุฉ ุฃู† f ุจุงู„ู†ุณุจุฉ ู„ู€ g ู„ุง
1230
+
1231
+ 361
1232
+ 00:28:16,410 --> 00:28:23,030
1233
+ ุชุฐูƒุฑุŒ ูƒุฃู†ู‡ุง limit at xุŒ limit to infinity ุจุชุตูŠุฑ
1234
+
1235
+ 362
1236
+ 00:28:23,030 --> 00:28:27,770
1237
+ ุงู„ู†ุณุจุฉ ุจูŠู†ู‡ู… ูƒุฃู†ู‡ุง ุตูุฑุŒ ูƒุฃู† ู‚ูŠู…ุฉ g ู…ุด ุดุงูŠูุฉ ู‚ูŠู…ุฉ f
1238
+
1239
+ 363
1240
+ 00:28:28,900 --> 00:28:32,820
1241
+ ุนู†ุฏ ุงู„ู€ infinityุŒ ุนู†ุฏ ุงู„ู€ infinityุŒ ูู€ limitation ู‡ู†ุง
1242
+
1243
+ 364
1244
+ 00:28:32,820 --> 00:28:36,300
1245
+ ุจุญุฏุฏุŒ ู„ุฅู†ู‡ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ ู‡ุฐู‡ ุฃุตุจุญุช ู‚ูŠู…ุฉ ุฌุฏุง ูƒุจูŠุฑุฉ
1246
+
1247
+ 365
1248
+ 00:28:36,300 --> 00:28:42,860
1249
+ ู…ู‚ุงุจู„ ู‚ูŠู…ุฉ ูƒุชูŠุฑ ุตุบูŠุฑุฉ ู„ู„ู€ FุŒ ูŠุนู†ูŠ F ุฃุตุบุฑ ู…ู† GุŒ ูŠุนู†ูŠ
1250
+
1251
+ 366
1252
+ 00:28:42,860 --> 00:28:47,200
1253
+ ู…ุนู†ุงุชู‡ F ุฃุตุบุฑ ู…ู† G ูุนู„ูŠุงุŒ ุชู…ุงู…ุŒ ุงู„ุขู† ู‡ู†ุงุฎุฏ ุจุนุถ ุงู„ู€
1254
+
1255
+ 367
1256
+ 00:28:47,200 --> 00:28:50,800
1257
+ functionsุŒ ุจุนุถ ุงู„ู€ functions ุงู„ู„ูŠ ูƒุซูŠุฑ ูƒูˆูŠุณ ู†ุชุนุงู…ู„
1258
+
1259
+ 368
1260
+ 00:28:50,800 --> 00:28:55,560
1261
+ ู…ุนู‡ุงุŒ ูˆุงุญุฏ ุงู„ู€ constant ู‡ูˆ ุฃู‚ู„ ู…ู† ุงู„ู€ log of log
1262
+
1263
+ 369
1264
+ 00:28:57,060 --> 00:29:00,200
1265
+ ุชุนุฑููŠู† log of log ู‡ุฐู‡ ู…ู† ุงู„ู€ functions ุงู„ุฑุงุฆุนุฉุŒ ู„ูˆ
1266
+
1267
+ 370
1268
+ 00:29:00,200 --> 00:29:02,440
1269
+ ู‚ุฏุฑุชูˆุง ุงู„ู€ .. ุงู„ู€ quad ุชุจุนุงุชูƒู… ุชูƒุชุจูˆู‡ุง log of log
1270
+
1271
+ 371
1272
+ 00:29:02,440 --> 00:29:06,780
1273
+ ูŠุนู†ูŠ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ูŠุŒ ูŠุนู†ูŠ ุงู„ู€ complexity ูƒุชูŠุฑ ุตุบูŠุฑุฉ
1274
+
1275
+ 372
1276
+ 00:29:06,780 --> 00:29:10,860
1277
+ ุชู‚ุฑูŠุจุง ู…ุง .. ู…ุง .. ู…ุงููŠุด complexityุŒ ู„ูƒู† ููŠ ุฌู…ูŠุน
1278
+
1279
+ 373
1280
+ 00:29:10,860 --> 00:29:13,860
1281
+ ุงู„ุฃุญูˆุงู„ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุงู„ูˆุงุญุฏุŒ ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ ู‡ูŠ ุฃูƒุจุฑ
1282
+
1283
+ 374
1284
+ 00:29:13,860 --> 00:29:18,540
1285
+ ู…ู† ุงู„ูˆุงุญุฏุŒ ู„ูˆ ู†ูŠุฌูŠ ู†ุชูƒู„ู… ุนู† ุนุดุฑุฉ ู…ุซู„ุงุŒ ุงู„ุนุดุฑุฉ ุนุงุฑููŠู†
1286
+
1287
+ 375
1288
+ 00:29:18,540 --> 00:29:28,600
1289
+ ุฃู† ู‡ูŠ log ุนุดุฑุฉ ุจูˆุงุญุฏุŒ log ูˆุงุญุฏ ุจุตูุฑุŒ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจ ุฒูˆุฏ
1290
+
1291
+ 376
1292
+ 00:29:28,600 --> 00:29:35,840
1293
+ ุนู†ุฏ ุงู„ู…ุฆุฉุŒ ุนู†ุฏ ุงู„ู…ุฆุฉ ุจูŠุตูŠุฑ ุนู†ุฏูƒ ู‡ู†ุง ุงุซู†ูŠู† log
1294
+
1295
+ 377
1296
+ 00:29:35,840 --> 00:29:42,860
1297
+ ุงู„ุงุซู†ูŠู†ุŒ ุจูŠูƒูˆู† ุฒุงุฏ ุนู† ุงู„ูˆุงุญุฏุŒ ุทูŠุจ ุฒุงุฏ ุนู† ุงู„ูˆุงุญุฏ ู‡ูŠูƒุŸ
1298
+
1299
+ 378
1300
+ 00:29:42,860 --> 00:29:47,600
1301
+ ู„ุฃุŒ ู„ุณู‡ ู…ุง ุฒุงุฏุด ุนู† ุงู„ูˆุงุญุฏุŒ ู…ุง ุฒุงุฏุด ุนู† ุงู„ูˆุงุญุฏุŒ ู…ุงุฒุงู„ ุฃู‚ู„
1302
+
1303
+ 379
1304
+ 00:29:47,600 --> 00:29:51,340
1305
+ ู…ู† ุงู„ูˆุงุญุฏุŒ ู„ูƒู† ุงุญู†ุง ู…ุชุฐูƒุฑูŠู† ุชุนุฑูŠูู†ุง ุงู„ุณุงุจู‚ุŒ ู‚ู„ู†ุง ุนู†ุฏ
1306
+
1307
+ 380
1308
+ 00:29:51,340 --> 00:29:58,100
1309
+ ู†ู‚ุทุฉ ู…ุนูŠู†ุฉ KุŒ ุจุนุฏู‡ุง ุฎู„ุงุต ู‡ูŠูƒุŒ ู‡ุชุตูŠุฑ ุงู„ู€ term ู‡ุฐุง ุฃูƒุจุฑ
1310
+
1311
+ 381
1312
+ 00:29:58,100 --> 00:30:01,920
1313
+ ู…ู† ุงู„ูˆุงุญุฏุŒ ูˆูŠุณุชู…ุฑ ุฃูƒุจุฑ ู…ู†ู‡ุŒ ุทุจ ุนุงุฑููŠู† ุฅูŠุด ู‡ูˆ ุงู„ู€
1314
+
1315
+ 382
1316
+ 00:30:01,920 --> 00:30:10,240
1317
+ term ู‡ุฐุง ุงู„ู„ูŠ ู‡ูŠุชูƒู„ู… ุนู†ู‡ุŒ ุงู„ู€ K ู‚ุฏ ุฅูŠุดุŸ ุนุดุฑุฉุŒ ู‚ูุตู‘ ุนุดุฑุฉ
1318
+
1319
+ 383
1320
+ 00:30:10,240 --> 00:30:16,600
1321
+ 100%ุŒ ุนุดุฑุฉ ู‚ูุตู‘ ุนุดุฑุฉุŒ ู‡ู†ุง ู„ู…ุง ุชู‚ูˆู„ ุนุดุฑุฉ ู‚ูุตู‘ ุนุดุฑุฉุŒ ุฅูŠุด
1322
+
1323
+ 384
1324
+ 00:30:16,600 --> 00:30:21,560
1325
+ ูŠุนู†ูŠุŸ logุŒ ู‡ูŠุทู„ุน ู‡ุฐุง ุงู„ู€ term ูƒู„ู‡ุŒ ุนุดุฑุฉ
1326
+
1327
+ 445
1328
+ 00:35:06,220 --> 00:35:10,040
1329
+ ู‡ุฐู‡ ู…ุฌู…ูˆุนุฉ ุฃู†ูˆุงุน ุงู„ู„ูŠ ู‡ู†ุชุนุงู…ู„ ู…ุนู‡ุงุŒ ุงู„ุญู‚ูŠู‚ุฉ ู„ู…ุง
1330
+
1331
+ 446
1332
+ 00:35:10,040 --> 00:35:14,380
1333
+ ู†ุฑูˆุญ ู†ุจุฏุฃ ู†ูˆุตู ุงู„ู€ code ุชุจุนู†ุงุŒ ูˆ ู‡ู„ ู‡ูˆ ู…ู‚ุจูˆู„ุŸ ุงู†ุชูŽ
1334
+
1335
+ 447
1336
+ 00:35:14,380 --> 00:35:18,280
1337
+ ูƒู…ูุญู„ ุงู„ุจูŠุงู†ุงุช ูˆ ูƒู…ูุญู„ ุงู„ุจุฑุงู…ุฌุŒ ู„ุนู†ุฏ ุฃูŠ ุญุฏ ุจุชู‚ุฏุฑ ุชู‚ุจู„
1338
+
1339
+ 448
1340
+ 00:35:18,280 --> 00:35:21,220
1341
+ ุงู„ู€ codeุŸ ู„ุนู†ุฏ ุฃูŠ ุญุฏ ุจุชู‚ุฏุฑ ุชู‚ุจู„ ุงู„ู€ codeุŸ ู‡ุฐุง
1342
+
1343
+ 449
1344
+ 00:35:21,220 --> 00:35:26,760
1345
+ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ุงุญู†ุง ุจุฏู†ุง ู†ุชูƒู„ู… ููŠู‡ุŒ ุฌุฒุฆูŠุฉ ุงู„ู€
1346
+
1347
+ 450
1348
+ 00:35:26,760 --> 00:35:27,320
1349
+ complexity
1350
+
1351
+ 451
1352
+ 00:35:35,920 --> 00:35:40,170
1353
+ ููŠ ุฌุฒุฆูŠุฉ ุงู„ู€ complexityุŒ ูู„ู…ุง ุจุฌูŠ ุฃุชูƒู„ู… ุนู† ุงู„ู€
1354
+
1355
+ 452
1356
+ 00:35:40,170 --> 00:35:43,270
1357
+ Algorithmic ComplexityุŒ ุฎู„ุงุต ูู‡ู…ู†ุง ุฅูŠุด ูŠุนู†ูŠ ุงู„ู€
1358
+
1359
+ 453
1360
+ 00:35:43,270 --> 00:35:46,850
1361
+ order of growth. ุงู„ุขู† ูƒู„ ุงู„ููƒุฑุฉ ุฅู†ู‡ ุจุฏูŠ ุฃุญูˆู„ ุงู„ู€
1362
+
1363
+ 454
1364
+ 00:35:46,850 --> 00:35:51,590
1365
+ code ู„ู€ functionุŒ ูˆ ุฃุทุจู‚ ุนู„ูŠู‡ุง: ู…ูŠู† ุฃูƒุจุฑ ู…ู† ู…ูŠู†ุŸ ู…ูŠู†
1366
+
1367
+ 455
1368
+ 00:35:51,590 --> 00:35:55,530
1369
+ big O of ู…ูŠู†ุŸ ุจุณ ุนุดุงู† ู†ุนุฑู ู…ูŠู† ุฃุญุณู† ู…ู† ู…ูŠู†ุŒ ู…ุด ุฃูƒุซุฑ.
1370
+
1371
+ 456
1372
+ 00:35:55,530 --> 00:35:59,390
1373
+ ู…ู† ู‡ูŠูƒุŒ ูƒู„ู†ุง ุนุงุฑููŠู† ุฅู†ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ูˆ ู‚ู„ู†ุงู‡ุง ู…ุฑุงุฑู‹ุง
1374
+
1375
+ 457
1376
+ 00:35:59,390 --> 00:36:03,230
1377
+ ูˆ ุชูƒุฑุงุฑู‹ุงุŒ ุฃู† ุงู„ู€ input ุชุจุนู†ุง ู‡ูŠ ู…ุฌู…ูˆุนุฉ ุงู„ู€ inputs ุงู„ู€
1378
+
1379
+ 458
1380
+ 00:36:03,230 --> 00:36:08,480
1381
+ function. ู‡ูŠ ุงู„ู€ costุŒ ุงู„ู€ cost: ุฅูŠุด ุจุชูƒู„ู‘ูู†ูŠ ุจุงู„ู†ุณุจุฉ
1382
+
1383
+ 459
1384
+ 00:36:08,480 --> 00:36:11,200
1385
+ ู„ุนุฏุฏ ุงู„ู€ inputsุŸ ู„ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ู€ inputsุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ุงู„ู€ input ู‡ูˆ
1386
+
1387
+ 460
1388
+ 00:36:11,200 --> 00:36:17,040
1389
+ ุงู„ู…ุชุบูŠุฑ. ุฃุตุจุญุช ุนู†ุฏูƒ function of inputsุŒ ุฃู† ู‡ุฐู‡ ุงู„ู€
1390
+
1391
+ 461
1392
+ 00:36:17,040 --> 00:36:22,020
1393
+ inputsุŒ ู…ุฌู…ูˆุนุฉ ุงู„ู€ inputs ุงู„ู„ูŠ ู‡ู†ุดุชุบู„ ุนู„ูŠู‡ุงุŒ ูƒู„ู‡ุง ุนู„ู‰
1394
+
1395
+ 462
1396
+ 00:36:22,020 --> 00:36:28,600
1397
+ ุจุนุถ. ุงู„ู€ costุŒ ุชูƒู„ูุฉ ุงู„ู€ codeุŒ ู…ู† ุฃูŠ ู†ุงุญูŠุฉุŸ ุชูƒู„ูุฉ ุงู„ู€
1398
+
1399
+ 463
1400
+ 00:36:28,600 --> 00:36:31,060
1401
+ code. ูู‡ุฐู‡ ู‡ูŠ ุงู„ู€ function ุงู„ู„ูŠ ุจุฏู†ุง ู†ุชุนุงู…ู„ ู…ุนู‡ุงุŒ ู‡ูŠ
1402
+
1403
+ 464
1404
+ 00:36:31,060 --> 00:36:35,320
1405
+ ู‡ุชู‚ูŠุณ ู„ูŠู‡ ุงู„ู€ costุŸ ุงู„ู€ cost ุชูู‚ุงุณ ุจุทุฑูŠู‚ุชูŠู†: ุฅู…ุง ูƒู€ time
1406
+
1407
+ 465
1408
+ 00:36:36,160 --> 00:36:41,520
1409
+ ุฃูˆ ูƒู€ space. ูƒู€ spaceุŒ ููŠ ุงู„ุญุงู„ุชูŠู† ู‡ูŠ costุŒ ู‡ูŠ ุชูƒู„ูุฉุŒ
1410
+
1411
+ 466
1412
+ 00:36:41,520 --> 00:36:47,660
1413
+ ุฅู…ุง ู‡ุชูƒู„ู‘ูู†ูŠ ูˆู‚ุชุŒ ูˆู‚ุช ุงู†ุชุธุงุฑุŒ ู‚ุฏ ุฅูŠุด ุจุฏู‡ ูŠูƒู„ูู†ูŠ ุงู„ูˆู‚ุช ูƒู€
1414
+
1415
+ 467
1416
+ 00:36:47,660 --> 00:36:52,460
1417
+ function ููŠ ุงู„ู€ inputุŒ ุฃูˆ ู‚ุฏ ุฅูŠุด ุจุฏู‡ ูŠูƒู„ูู†ูŠ ุงู„ู€ space
1418
+
1419
+ 468
1420
+ 00:36:52,460 --> 00:36:56,100
1421
+ ู„ุฃู†ู‡ ู…ุณุงุญุฉ. ู‡ุฐู‡ุŒ ุทูŠุจุŒ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ุŒ ู…ุง ุฃู†ุง ุจุฏู‡ ุฃุถุทุฑ
1422
+
1423
+ 469
1424
+ 00:36:56,100 --> 00:37:01,000
1425
+ ุฃุดุชุฑูŠ ู„ู‡ุง ุณุนุฉ ุนุดุงู† ุฃู†ูุฐ ุงู„ุจุฑุงู…ุฌ ุจุชุงุนุชู†ุง. ุจุฏูƒ ุชุถุทุฑ
1426
+
1427
+ 470
1428
+ 00:37:01,000 --> 00:37:05,590
1429
+ ุชุญุท ู„ู‡ุง ุณุนุฉ. ูู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ูƒ costุŒ ู‡ูŠ ุงู„ู€ memory bits
1430
+
1431
+ 471
1432
+ 00:37:05,590 --> 00:37:10,470
1433
+ requirementุŒ requiredุŒ ุฃูˆ ุงู„ู€ bits ุงู„ู„ูŠ ุฃู†ุช ู…ุญุชุงุฌู‡ุงุŒ
1434
+
1435
+ 472
1436
+ 00:37:10,470 --> 00:37:16,150
1437
+ ุฃูˆ ู…ุทู„ูˆุจุฉ ุจุงู„ู†ุณุจุฉ ู„ูƒ ููŠ ุงู„ู€ memory. ุฅุฐุง ูˆุงู„ู„ู‡ ู…ุญุชุงุฌ
1438
+
1439
+ 473
1440
+ 00:37:16,150 --> 00:37:20,530
1441
+ space ุฃูƒุจุฑุŒ ูŠู…ูƒู† ุงู„ู€ RAM ุนู†ุฏูƒ ุชุถุทุฑ ุชุดูŠู„ู‡ุงุŒ ุชุดุชุฑูŠ ู„ูƒ
1442
+
1443
+ 474
1444
+ 00:37:20,530 --> 00:37:26,250
1445
+ RAM ุฃูˆุณุนุŒ ุฃูƒุจุฑุŒ ุนุดุงู† ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ู‡ูŠูƒ ุงู„ุฌู‡ุงุฒ
1446
+
1447
+ 475
1448
+ 00:37:26,250 --> 00:37:30,630
1449
+ ุชุจุนูŠ ุฃุตุจุญ ุจูŠู‚ุฏุฑ ูŠู†ูุฐ ุจุฑุงู…ุฌ ูƒุจูŠุฑุฉ. ููŠ ุงู„ุฃูˆู„ุŒ ู„ุง ูƒุงู†
1450
+
1451
+ 476
1452
+ 00:37:30,630 --> 00:37:35,370
1453
+ ุนู„ู‰ ุจุฑุงู…ุฌ ุตุบูŠุฑุฉ. ูˆู‡ูƒุฐุง. ู‡ู„ ููŠ ุงู„ุขุฎุฑ ูƒู…ุงู† ุงู„ู€ compiler
1454
+
1455
+ 477
1456
+ 00:37:35,370 --> 00:37:41,570
1457
+ smart enough ุฅู†ู‡ ูŠุนู…ู„ ุฅุฏุงุฑุฉ ู…ู†ุงุณุจุฉ ู„ู„ู€ memoryุŸ ูˆู„ุง
1458
+
1459
+ 478
1460
+ 00:37:41,570 --> 00:37:44,910
1461
+ ู„ุงุŸ ุฎุฏูˆุง ุจุงู„ูƒู…ุŒ ุงู„ุฌุฒุฆูŠุฉ ุฏูŠ ุงู„ู„ูŠ ููŠ ุจุนุถ ุงู„ู€
1462
+
1463
+ 479
1464
+ 00:37:44,910 --> 00:37:48,590
1465
+ compilersุŒ ู‡ูˆ smart enough ุฅู†ู‡ ูŠุนู…ู„ ู„ูƒ ุฅุฏุงุฑุฉ ูƒูˆูŠุณุฉ ู„ู„ู€
1466
+
1467
+ 480
1468
+ 00:37:48,590 --> 00:37:53,570
1469
+ memory. ูˆุงู„ุบุงู„ุจูŠุฉ ู„ุงุŒ ุงู„ุบุงู„ุจูŠุฉุŒ ุฎุตูˆุตู‹ุง ู„ู…ุง ุจุฏูƒ
1470
+
1471
+ 481
1472
+ 00:37:53,570 --> 00:37:57,570
1473
+ ุชูŠุฌูŠ ุชุนู…ู„ ู…ุซู„ู‹ุง ุงู„ู€ methodุŒ ูˆ ุงู„ู€ recurrence methodุŒ
1474
+
1475
+ 482
1476
+ 00:37:58,580 --> 00:38:02,980
1477
+ RecurrenceุŒ ุฃู†ูƒ ุฃู†ุช ู†ูุณ ุงู„ู€ code ุจุฏูƒ ุชูุชุญู‡ ูƒู„ ู…ุฑุฉ
1478
+
1479
+ 483
1480
+ 00:38:02,980 --> 00:38:06,640
1481
+ ู„ุนู†ุฏ ู…ุง ุชุตู„ ู„ู„ู€ bases ุชุจุนุชู‡. ู‡ู†ุงุฎุฏู‡ุง ุจุฑุถู‡ ู„ู‚ุฏุงู…ุŒ
1482
+
1483
+ 484
1484
+ 00:38:06,640 --> 00:38:12,200
1485
+ ุนุดุงู† ุชุตู„ ู„ู„ู€ bases. ู‡ูŠุฏุง ูƒู… ู…ุฑุฉ ู‡ุชุถุทุฑ ุชูุชุญ ุจุฑุงู…ุฌ
1486
+
1487
+ 485
1488
+ 00:38:12,200 --> 00:38:16,800
1489
+ ู†ูุณ ุงู„ุจุฑู†ุงู…ุฌ ูƒุฐุง ู…ุฑุฉุŸ ู…ุง ุฃู†ุช ู…ุนู†ุงุชู‡ ุจุฏูƒ ุฐุงูƒุฑุฉ. ุงู„ู€
1490
+
1491
+ 486
1492
+ 00:38:16,800 --> 00:38:19,860
1493
+ recursionุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ recurrence codeุŒ ุงู„ู€ recursion
1494
+
1495
+ 487
1496
+ 00:38:19,860 --> 00:38:23,900
1497
+ ูƒู†ุชูˆุง ุจุชุณู…ูˆู‡ุงุŒ ู…ุนู†ุงุชู‡ ุจุฏูŠ ุฃูุชุญ ูƒุฐุง ู…ุฑุฉ ู†ูุณ ุงู„ู…ู„ูุŒ ุฃูˆ
1498
+
1499
+ 488
1500
+ 00:38:23,900 --> 00:38:29,500
1501
+ ู†ูุณ ุงู„ู€ code ูƒู„ ู…ุฑุฉ ุจู€ input ุฌุฏูŠุฏ. ุทูŠุจุŒ ุงู„ู„ูŠ ู‚ุฏ ุฅูŠุด ุจุชุณุชู‡ู„ูƒ
1502
+
1503
+ 489
1504
+ 00:38:29,500 --> 00:38:33,540
1505
+ ุงู„ุฐุงูƒุฑุฉุŸ ู…ุนู†ุงุชู‡ุŒ ู‡ู†ุง ู†ุงุณ ุจูŠูุถู„ูˆุง ุฅู†ู‡ ูŠุดุชุบู„ูˆุง ุจุงู„ู€
1506
+
1507
+ 490
1508
+ 00:38:33,540 --> 00:38:35,960
1509
+ spaceุŒ ู†ุงุณ ุจูŠูุถู„ูˆุง ูŠุดุชุบู„ูˆุง ุจุงู„ู€ timeุŒ ุจุงู„ู†ุณุจุฉ ู„ู„ู€
1510
+
1511
+ 491
1512
+ 00:38:35,960 --> 00:38:40,620
1513
+ course. ุทุจุนู‹ุง ุงุญู†ุง ู‡ู†ุชุนุงู…ู„ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ู€ timeุŒ ู…ุน ุงู„ู€
1514
+
1515
+ 492
1516
+ 00:38:40,620 --> 00:38:48,500
1517
+ timeุŒ ูƒูˆูŠุณุŸ ูˆ ุงุชูู‚ู†ุง ุฅู†ู‡ ุงู„ู€ inputุŒ ุงู„ู€ input ู‡ูŠ ุงู„ู€
1518
+
1519
+ 493
1520
+ 00:38:48,500 --> 00:38:50,900
1521
+ different sizes ุงู„ู„ูŠ ุจุชุนู…ู„ ู…ุนุงู‡ุŒ ูŠุนู†ูŠ ู‡ูŠ ุงู„ู…ุชุบูŠุฑุŒ
1522
+
1523
+ 494
1524
+ 00:38:50,900 --> 00:38:54,380
1525
+ ู‡ูŠ ุงู„ู…ุชุบูŠุฑ ููŠ ุดุบู„ู†ุง. ุฒูŠ ู„ู…ุง ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ุจุฏูŠ ุฃุนู…ู„
1526
+
1527
+ 495
1528
+ 00:38:54,380 --> 00:38:57,440
1529
+ ุนู…ู„ูŠุฉ searchingุŒ ุนู…ู„ูŠุฉ ุงู„ู€ searching ู„ู€ long listุŒ
1530
+
1531
+ 496
1532
+ 00:38:57,440 --> 00:39:01,470
1533
+ ุฃูƒูŠุฏ ู‡ุชุฃุฎุฐ time ุฃูƒุซุฑ ู…ู† ุงู„ู€ short list. ุจุฏูŠู‡ูŠ ูŠุนู†ูŠ.
1534
+
1535
+ 497
1536
+ 00:39:01,470 --> 00:39:06,650
1537
+ ู‡ุฐุง ุฅุดูŠ ุจุฏูŠู‡ูŠ ุฌุฏู‹ุง. ุฃู†ุง ุจุฏูŠ ุฃุจุญุซ ููŠ list ู…ู† ุนุดุฑุฉ
1538
+
1539
+ 498
1540
+ 00:39:06,650 --> 00:39:10,710
1541
+ elementsุŒ ุบูŠุฑ ู„ู…ุง ุฃุจุญุซ ููŠ 100 elements. ุฃูƒูŠุฏ ุงู„ู€ 100
1542
+
1543
+ 499
1544
+ 00:39:10,710 --> 00:39:14,170
1545
+ elements ู‡ุชุฃุฎุฐ ูˆู‚ุช ุฃุทูˆู„... ู‡ุชุฃุฎุฐ ูˆู‚ุช ุฃุทูˆู„. ูู€ ู‚ุฏ ุฅูŠุด
1546
+
1547
+ 500
1548
+ 00:39:14,170 --> 00:39:19,670
1549
+ ุจูŠุตูŠุฑ ุชุถุฎู… ููŠ ุงู„ูˆู‚ุช ู…ู‚ุงุจู„ ูƒู„ input ุฒูŠุงุฏุฉุŸ ู‡ุฐุง ุงู„ู€
1550
+
1551
+ 501
1552
+ 00:39:19,670 --> 00:39:24,150
1553
+ complexityุŒ ู‡ุฐุง ุงู„ู€ order of growthุŒ ู…ุนุฏู„ ุงู„ู†ู…ูˆ. ูƒู„ ู…ุง
1554
+
1555
+ 502
1556
+ 00:39:24,150 --> 00:39:27,270
1557
+ ุจุชุฒูŠุฏ ุงู„ู€ input ุฒูŠุงุฏุฉ ูˆุงุญุฏุฉุŒ ู‚ุฏ ุฅูŠุด ุจุชุฒูŠุฏ ู…ู‚ุงุจู„ู‡ุง ุงู„ู€
1558
+
1559
+ 503
1560
+ 00:39:27,270 --> 00:39:31,560
1561
+ timeุŸ ู‡ูŠ ู…ุนุฏู„ ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุŒ ุงู„ู€ order of growthุŒ
1562
+
1563
+ 504
1564
+ 00:39:31,560 --> 00:39:35,980
1565
+ ู†ู…ูˆ ุงู„ู€ function... ู†ู…ูˆ ุงู„ู€ function... ุฃูŠ functionุŸ
1566
+
1567
+ 505
1568
+ 00:39:35,980 --> 00:39:38,540
1569
+ function ุงู„ู€ time. ุฃู…ุง ุงุญู†ุง ุฎู„ุงุต ุงุชูู‚ู†ุงุŒ ู„ุฅู†ู‡ ุจุฏู†ุง
1570
+
1571
+ 506
1572
+ 00:39:38,540 --> 00:39:42,300
1573
+ ู†ุดุชุบู„ ุงู„ู€ timeุŒ ู…ุนู†ุงุชู‡ function ุงู„ู€ timeุŒ ุงู„ู„ูŠ ู‡ูŠ
1574
+
1575
+ 507
1576
+ 00:39:42,300 --> 00:39:46,280
1577
+ ู…ุนุชู…ุฏุฉ ุนู„ู‰ ุฅูŠุดุŸ ู…ุนุชู…ุฏุฉ ุนู„ู‰ ุนุฏุฏ ุงู„ู€ inputs. ูู‡ูŠ ุงู„ู€
1578
+
1579
+ 508
1580
+ 00:39:46,280 --> 00:39:49,860
1581
+ function ุจุชุงุนุชู†ุง. ู„ุฃู† ุงู„ู€ timeุŒ ุฎู„ุงุต ู†ุชูƒู„ู… ุนู† ุงู„ู€ time
1582
+
1583
+ 509
1584
+ 00:39:49,860 --> 00:39:55,020
1585
+ complexityุŒ ูˆู…ุชูู‚ูŠู† ุฃู† ูƒู„ู†ุง ู‡ู†ุดุชุบู„ ุนู„ู‰ ุงู„ู€ worst
1586
+
1587
+ 510
1588
+ 00:39:55,020 --> 00:40:00,930
1589
+ case inputsุŒ ุฃุณูˆุฃ ุญุงู„ุฉ ู„ุนุฏุฏ ุงู„ู€ inputsุŸ ุฅูŠุด ู…ู…ูƒู†
1590
+
1591
+ 511
1592
+ 00:40:00,930 --> 00:40:03,410
1593
+ ูŠูƒูˆู†ุŸ ูู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ ุจู†ุดุชุบู„ ุนู„ูŠู‡ุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡
1594
+
1595
+ 512
1596
+ 00:40:03,410 --> 00:40:08,190
1597
+ ุจุชุดุชุบู„ ูˆ ุจุชู‚ุฑุฑ ุจุงู„ู†ุณุจุฉ ู„ูƒ ุชุนู…ู„ analysis ู„ู…ู†ุŸ ู„ู„ู€
1598
+
1599
+ 513
1600
+ 00:40:08,190 --> 00:40:11,170
1601
+ code. ุจุชุณุชุฑุดุฏ ุนู„ู‰ ุงู„ู€ bestุŒ ูˆู„ุง ุญุชู‰ ุนู„ู‰ ุงู„ู€ averageุŒ
1602
+
1603
+ 514
1604
+ 00:40:11,170 --> 00:40:15,950
1605
+ ุจุชุฃุฎุฐ ุฅูŠุดุŸ ุฃุณูˆุฃ ุญุงู„ุฉ ู…ู…ูƒู†ุฉ ู„ู„ู€ code. ู„ู…ู†ุŸ ุฅูŠุด ุงู„ู„ูŠ
1606
+
1607
+ 515
1608
+ 00:40:15,950 --> 00:40:18,290
1609
+ ููŠ ุงู„ู€ code ู…ู…ูƒู† ูŠูƒูˆู† ุฃุณูˆุฃ ู…ุง ูŠู…ูƒู†ุŸ ุงู„ุดูŠุก ุงู„ู„ูŠ
1610
+
1611
+ 516
1612
+ 00:40:18,290 --> 00:40:23,460
1613
+ ุจุชุบูŠู‘ุฑู‡ุŒ ุงู„ู„ูŠ ุจูŠุบูŠู‘ุฑู‡ ู‡ูˆ ุงู„ู€ input. ูƒูˆูŠุณุŸ ู„ูˆ ุฃุฎุฐู†ุง suppose
1614
+
1615
+ 517
1616
+ 00:40:23,460 --> 00:40:27,500
1617
+ thatุŒ ุฃูˆ ุจุฏู†ุง ู†ูุฑุถ ุญุงู„ุฉ ู…ุนูŠู†ุฉ. ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฏู†ุง ู†ูุฑุถ
1618
+
1619
+ 518
1620
+ 00:40:27,500 --> 00:40:32,220
1621
+ ุฃู† ุนู†ุฏูŠ algorithm A. ุงู„ู€ algorithm A ู‡ุฐุง ุงู„ู€ worst
1622
+
1623
+ 519
1624
+ 00:40:32,220 --> 00:40:35,200
1625
+ case time complexityุŒ ูุจู†ุณู…ูŠู‡ุง ุงู„ู€ worst case time
1626
+
1627
+ 520
1628
+ 00:40:35,200 --> 00:40:42,090
1629
+ complexityุŒ F of N. ุงู„ู€ function ู‡ุชูˆุตู ุจู‡ุฐุง ุงู„ู€ orderุŒ
1630
+
1631
+ 521
1632
+ 00:40:42,090 --> 00:40:47,350
1633
+ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุจู†ุงุกู‹ ุนู„ู‰ ุงู„ู€ inputs ุจุทูˆู„ NุŒ ุจุทูˆู„ N. ูู‡ูŠ
1634
+
1635
+ 522
1636
+ 00:40:47,350 --> 00:40:51,990
1637
+ ูุนู„ู‹ุง function ููŠ ุงู„ู€ N. ุจูŠู†ู…ุง ุงู„ู€ algorithm B ุจูŠุฃุฎุฐ
1638
+
1639
+ 523
1640
+ 00:40:51,990 --> 00:40:55,110
1641
+ ุงู„ู€ function ุจุชุงุนุฉ ุงู„ู€ timeุŒ ุฃูˆ ุงู„ู€ time function GุŒ
1642
+
1643
+ 524
1644
+ 00:40:55,110 --> 00:41:01,150
1645
+ ูุนู†ุฏูŠ two time functionsุŒ ูˆุงุญุฏุฉ ู„ู€ systemุŒ ุฃูˆู„ ุฃูˆ
1646
+
1647
+ 525
1648
+ 00:41:01,150 --> 00:41:04,790
1649
+ algorithm ุฃูˆู„ุŒ ูˆุงู„ุชุงู†ูŠ ู„ู„ู€ algorithm ุงู„ุชุงู†ูŠ. ุฅุฐุง F
1650
+
1651
+ 526
1652
+ 00:41:04,790 --> 00:41:12,200
1653
+ belong to big omega of G. ู„ุฃู† ุฃู†ุชูŽ ู‡ุฐู‡ ุงู„ู„ูŠ ูˆุฌุฏุชุŒ time
1654
+
1655
+ 527
1656
+ 00:41:12,200 --> 00:41:15,280
1657
+ ุงู„ู€ timeุŒ ุฅูŠุด ุงู„ู…ุทู„ูˆุจุŸ ุงู„ู„ูŠ ุฃู†ุชูŽ ุชุนู…ู„ุŒ ุชุฌูŠุจ ู„ูŠ ุงู„ู€
1658
+
1659
+ 528
1660
+ 00:41:15,280 --> 00:41:18,520
1661
+ function ุชุจุนุชู‡ุŒ ุงู„ู€ order ุชุจุน ุงู„ู€ functionุŒ ูˆุจุนุฏูŠู†
1662
+
1663
+ 529
1664
+ 00:41:18,520 --> 00:41:22,420
1665
+ ุชูŠุฌูŠ ุชู‚ุงุฑู† ุงู„ู€ two orders ููŠ ุจุนุถ. ุฃุฌูŠุชุŒ ู„ู‚ูŠุช ูˆุงู„ู„ู‡ ุฃู†
1666
+
1667
+ 530
1668
+ 00:41:22,420 --> 00:41:30,920
1669
+ ุงู„ู€ F ู‡ูŠ small omega of G. ูŠุนู†ูŠ G ุฃุตุบุฑ ู…ู† F. ุฅูŠุด ูŠุนู†ูŠ
1670
+
1671
+ 531
1672
+ 00:41:30,920 --> 00:41:35,900
1673
+ ุงู„ู€ small omegaุŸ ู„ุณู‡ ู…ูƒุชูˆุจุฉุŒ ู…ุนู†ุงุชู‡ ู‡ูŠู‡ุงุŒ ู„ุงุญุธ F
1674
+
1675
+ 532
1676
+ 00:41:35,900 --> 00:41:42,500
1677
+ ุฃูƒุจุฑ ู…ู† G. F ุฃูƒุจุฑ ู…ู† G. ุทูŠุจุŒ automaticุŒ ู…ุนู†ุงุชู‡ ุตุงุฑ ู‡ู†ุง
1678
+
1679
+ 533
1680
+ 00:41:42,500 --> 00:41:48,140
1681
+ ุนู†ุฏูƒ ุงู„ู€ algorithm ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุฃุณุฑุน ููŠ ุญุงู„ุฉ ุงู„ู€ worst
1682
+
1683
+ 534
1684
+ 00:41:48,140 --> 00:41:57,080
1685
+ case inputs. ู…ูŠู†ุŸ A ูˆู„ุง BุŸ
1686
+
1687
+ 535
1688
+ 00:41:57,080 --> 00:42:05,800
1689
+ ู…ูŠู† ุงู„ุฃุณุฑุนุŸ AุŒ ุงู„ู€ order ุชุจุนู‡ ุฃูƒุจุฑ. ุทูŠุจุŒ ููŠ ู†ู‚ุทุฉ ุตุบูŠุฑุฉ
1690
+
1691
+ 536
1692
+ 00:42:05,800 --> 00:42:08,920
1693
+ ู‡ูŠูƒุŒ ู…ุนู†ุงุชู‡ุŒ ุจุฏู†ุง ู†ุฑุฌุน ู†ุคูƒุฏ ุนู„ูŠู‡ุง ู‡ูˆู†ุŒ ู‡ุงุŒ ู‡ุฐู‡ ุตุงุฑุช
1694
+
1695
+ 537
1696
+ 00:42:08,920 --> 00:42:17,880
1697
+ inุŒ ูˆ function ู‡ู†ุง ุณูˆุงุก f ุฃูˆ gุŒ ููŠ ุงู„ู€ time. ู…ุด ุงุญู†ุง
1698
+
1699
+ 538
1700
+ 00:42:17,880 --> 00:42:20,300
1701
+ ุฎู„ุงุต ุงุชูู‚ู†ุง timeุŒ ู…ุด ู‡ุชูƒู„ู… ููŠ ุงู„ู€ space ู†ู‡ุงุฆูŠู‹ุงุŒ
1702
+
1703
+ 539
1704
+ 00:42:20,300 --> 00:42:29,160
1705
+ timeุŒ ููŠ ุงู„ู€ timeุŒ ูˆุฌุฏู†ุง ุฃู† ุงู„ู€ f ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุงู„ู€ g
1706
+
1707
+ 540
1708
+ 00:42:29,160 --> 00:42:35,850
1709
+ ุฃุตุบุฑ ู…ู†ู‡ุง. ุทูŠุจุŒ ุนู†ุฏ N ู…ุนูŠู†ุฉุŒ ุงู„ู€ worst case ุฃู†ู‡ ูˆุงู„ู„ู‡
1710
+
1711
+ 541
1712
+ 00:42:35,850 --> 00:42:39,810
1713
+ ุงู„ู€ input ู…ุง ุจูŠุฒูŠุฏุด ุนู† ู‚ูŠู…ุฉ N ู…ุซู„ู‹ุง. ู‡ู†ุงุŒ ู„ุง ูŠุฒูŠุฏ ุนู† ู‚ูŠู…ุฉ
1714
+
1715
+ 542
1716
+ 00:42:39,810 --> 00:42:45,770
1717
+ N ูƒู€ input ู…ุซู„ู‹ุงุŒ ู…ุนู†ุงุชู‡ ุฐู„ูƒ ุฃู†ู‡ ู‡ุฐู‡ ุทู„ุนุช FุŒ ูˆู‡ุฐู‡ ู‡ูŠูƒ
1718
+
1719
+ 543
1720
+ 00:42:45,770 --> 00:42:54,030
1721
+ ุทู„ุนุช G. ุฃูƒูŠุฏ F ุฃู‚ู„ ูƒู‚ูŠู…ุฉ ู…ู† GุŒ ุฃู‚ู„ ููŠ ุฃูŠ ู†ุงุญูŠุฉุŸ ููŠ ุงู„ู€
1722
+
1723
+ 544
1724
+ 00:42:54,030 --> 00:43:02,590
1725
+ time. ุตุญุŸ ุฃู†ุง ุจุชูƒู„ู… ุนู† time. ูู€ GุŒ ุงู„ู€ time ุชุจุนู‡ุง ุฃู‚ู„ุŒ
1726
+
1727
+ 545
1728
+ 00:43:02,590 --> 00:43:08,150
1729
+ ุทูŠุจุŒ ุฅูŠุด ุนู„ุงู‚ุฉ ุงู„ู€ time ุจุงู„ุณุฑุนุฉุŸ ุจุงู„ุนูƒุณุŒ ูƒู„ ู…ุง ูƒู†ุช
1730
+
1731
+ 546
1732
+ 00:43:08,150 --> 00:43:11,970
1733
+ ุฃุณุฑุนุŒ ู…ุนู†ุงุชู‡ ุจุชุณุชุบุฑู‚ ุงู„ู€ time ุฃู‚ู„. ู…ุนู†ุงู‡ ุฐู„ูƒ ุฅู†ู‡ ู…ูŠู†
1734
+
1735
+ 547
1736
+ 00:43:11,970 --> 00:43:16,710
1737
+ ุงู„ุฃุณุฑุนุŸ ุงู„ู€ more faster ู…ู† ุงู„ุซุงู†ูŠุŒ ุงู„ู€ G ุงู„ู„ูŠ ู‡ูŠ ุชู…ุซู„
1738
+
1739
+ 548
1740
+ 00:43:16,710 --> 00:43:21,570
1741
+ ุฃู†ู‡ code B. ูู„ู…ุง ุจุชูŠุฌูŠ ุจุชุนู…ู„ selection ููŠ ุญุงู„ุฉ ุฒูŠ
1742
+
1743
+ 549
1744
+ 00:43:21,570 --> 00:43:24,450
1745
+ ู‡ุฐู‡ุŒ ุจุฑูˆุญ ู„ู„ู€ algorithm BุŒ ูˆ ุฃู‚ูˆู„ ู‡ุฐุง ุงู„ู„ูŠ ุจุชุนู…ู„ู‡
1746
+
1747
+ 550
1748
+ 00:43:24,450 --> 00:43:30,360
1749
+ selectionุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ ุจุชุฎุชุงุฑู‡. B ุฃุณุฑุน ู„ุฅูŠุดุŸ ู„ุฅู†ู‡ ุฃุฎุฐ
1750
+
1751
+ 551
1752
+ 00:43:30,360 --> 00:43:35,060
1753
+ ูˆู‚ุช ุฃู‚ู„ ููŠ ุงู„ุชู†ููŠุฐุŒ ููŠ ุงู„ู€ execution time ูƒุงู† ุฃู‚ู„ุŒ
1754
+
1755
+ 552
1756
+ 00:43:35,060 --> 00:43:41,050
1757
+ ูู…ุนู†ู‰ ุฐู„ูƒ ุฃูƒูŠุฏ ู‚ุฑุงุฑูŠ ู‡ูŠุฑูˆุญ ู„ู…ูŠู†ุŸ ู„ู€ B. ู‚ุฑุฑู†ุง ู„ุงุฒู…
1758
+
1759
+ 553
1760
+ 00:43:41,050 --> 00:43:44,150
1761
+ ูŠุฑูˆุญ ู„ู€ B ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡. ูˆุงุถุญุฉ. ู†ุฑุฌุน ู†ู‚ูˆู„ู‡ุง ุชุงู†ูŠ ูˆู„ุง
1762
+
1763
+ 554
1764
+ 00:43:44,150 --> 00:43:49,210
1765
+ ูƒูˆูŠุณุฉุŸ ุชู…ุงู…. ู…ู…ุชุงุฒ. ุฎู„ุงุต ู†ุจุฏุฃ ู‡ุงู„ูˆุงุฌู‡ุฉ ุนุงุฏุŒ ุฎู„ุงุต ู†ุจุฏุฃ
1766
+
1767
+ 555
1768
+ 00:43:49,210 --> 00:43:52,550
1769
+ ู…ู‡ู†ุฏุณูŠู† ุฑุณู…ูŠู‹ุงุŒ ูˆ ู†ุจุฏุฃ ููŠ ุงู„ุฃูƒูˆุงุฏุŒ ูˆ ู†ุจุฏุฃ ู†ุชูƒู„ู… ููŠ ุฅุดูŠ
1770
+
1771
+ 556
1772
+ 00:43:52,550 --> 00:43:55,810
1773
+ ูˆุงุถุญ ู‚ุฏุงู…ู†ุง. ู‡ูŠ code ุนู†ุฏูƒุŒ ูˆุงู„ู„ูŠ ุฃุฎุฐู†ุงู‡ ุฃูˆู„ ู…ุง
1774
+
1775
+ 557
1776
+ 00:43:55,810 --> 00:43:58,150
1777
+ ุจุฏุฃู†ุง ููŠ ุงู„ุฃูƒูˆุงุฏุŒ ุงู„ู„ูŠ ู‡ูˆ ูƒุงู† ุจุฏู†ุง ู†ุญุณุจ ุงู„ู€ maximumุŒ
1778
+
1779
+ 558
1780
+ 00:43:58,150 --> 00:44:00,810
1781
+ ุนุดุงู† ู†ุญุณุจู‡ ุงู„ู€ timeุŒ ุงู„ู„ูŠ ูŠุนู†ูŠ ุงู„ู€ time complexityุŒ
1782
+
1783
+ 559
1784
+ 00:44:00,810 --> 00:44:06,890
1785
+ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุญุณุจู‡ุง. ุฎู„ุงุต ู†ุจุฏุฃุŒ ุฎู„ูŠู†ุง ุงู„ู€ procedureุŒ ุจุฏูŠ
1786
+
1787
+ 560
1788
+ 00:44:06,890 --> 00:44:09,710
1789
+ ุฃู‚ุฑุฃ ูƒู…ุงู† ู…ุฑุฉ. ุงุญู†ุง ูƒุชุจู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ุจุณ
1790
+
1791
+ 561
1792
+ 00:44:09,710 --> 00:44:12,750
1793
+ ุงุณุชูˆุฑุฏู†ุงู‡ ู…ู† ู‡ู†ุงูƒุŒ ุนู…ู„ู†ุงู‡ recalling ูƒู€ methodุŒ ูˆ
1794
+
1795
+ 562
1796
+ 00:44:12,750 --> 00:44:15,790
1797
+ ุณุญุจู†ุงู‡ ู…ู† ู‡ู†ุงูƒุŒ ุฌุจู†ุงู‡ ุนู†ุฏู†ุง. ูƒูˆูŠุณุŸ ู‡ุง ู‡ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ
1798
+
1799
+ 563
1800
+ 00:44:15,790 --> 00:44:20,510
1801
+ ูƒุงู„ุชุงู„ูŠ. ุจุฌูŠ ุจู‚ูˆู„ ุฃูˆู„ line ู‡ู†ุงุŒ ุฃูˆ ุงู„ู€ statementุŒ
1802
+
1803
+ 564
1804
+ 00:44:20,510 --> 00:44:24,830
1805
+ ุงู„ุฃูˆู„ู‰ ู…ุญุชุงุฌุฉ ู…ุซู„ู‹ุง time T1. ุทุจุนู‹ุง ุจุชุนุชู…ุฏ ุนู„ู‰ ุฅูŠุดุŸ ููŠ
1806
+
1807
+ 565
1808
+ 00:44:24,830 --> 00:44:29,170
1809
+ ุงู„ุขุฎุฑุŒ ู…ูˆุงุตูุงุช ุงู„ุฌู‡ุงุฒ ุนู†ุฏูƒ. ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ุงู„ุฌู‡ุงุฒ
1810
+
1811
+ 566
1812
+ 00:44:29,170 --> 00:44:34,650
1813
+ ู‡ูŠูƒูˆู† ุซุงุจุช. ุงู„ู€ times ุชุจุนุชู‡ ู„ูƒู„ ุงู„ุฃูƒูˆุงุฏุŒ ู…ุฏุฉ ู†ูุณ
1814
+
1815
+ 567
1816
+ 00:44:34,650 --> 00:44:38,550
1817
+ ุงู„ุฌู‡ุงุฒุŒ ู†ูุณ ุงู„ู€ machine. ู‡ูŠ ู‡ูŠ. ุจุจุฏุฃ ุฃู‚ูˆู„ ุฅู†ู‡ ุนุดุงู† ูŠู†ูุฐ
1818
+
1819
+ 568
1820
+ 00:44:38,550 --> 00:44:42,530
1821
+ ุงู„ู€ statement ู‡ุฐู‡ ู…ุญุชุงุฌ ุฒู…ู† T1. ุทูŠุจุŒ ุงู„ู€ for loop ุนุดุงู†
1822
+
1823
+ 569
1824
+ 00:44:42,530 --> 00:44:45,710
1825
+ ูŠุนู…ู„ ุนู…ู„ูŠุฉ ุงู„ู…ู‚ุงุฑู†ุฉุŒ ูˆูŠุดูˆู ุงู…ุชู‰ ุจุฏู‡ ูŠุฒูŠุฏุŒ ูˆุงู…ุชู‰
1826
+
1827
+ 570
1828
+ 00:44:45,710 --> 00:44:51,860
1829
+ ุจุฏู‡ ูŠูˆู‚ู. ุนู…ู„ูŠุฉ ุงู„ู€ process ู‡ุฐู‡ ุจุฏู‡ุง T2. ุทูŠุจุŒ ุงู„ู€ F
1830
+
1831
+ 571
1832
+ 00:44:51,860 --> 00:44:55,300
1833
+ statement ูƒู„ู‡ุง ุนู„ู‰ ุจุนุถ ุจุฏู‡ุง T3. ู‡ู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู„ู€
1834
+
1835
+ 572
1836
+ 00:44:55,300 --> 00:44:58,200
1837
+ returnุŒ ุนุดุงู† ูŠุฑุฌุน ู„ูŠู‡ ุจุฏู‡ุง T4. ูŠู…ูƒู† ุชูƒูˆู† T4 ุฃู‚ู„
1838
+
1839
+ 573
1840
+ 00:44:58,200 --> 00:45:00,460
1841
+ ู…ู† ุงู„ุจุงู‚ูŠูŠู†ุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฅู†ู‡ ู…ุด ู…ู‡ุชู…ุŒ ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉ
1842
+
1843
+ 574
1844
+ 00:45:00,460 --> 00:45:03,380
1845
+ ุจุฏู‡ุง ุฒู…ู†ุŒ ู…ุญุชุงุฌุฉ ุฒู…ู†ุŒ ุจุงู„ู€ nano secondุŒ ุจุงู„ู€ micro
1846
+
1847
+ 575
1848
+ 00:45:03,380 --> 00:45:06,260
1849
+ secondุŒ ูŠุทู„ุน ุงู„ู„ูŠ ูŠุทู„ุนุŒ ุจุณ ู„ุงุฒู… ู†ุฃุฎุฐ ุญุณุงุจู†ุง ู…ุนุงู‡ุŒ ู„ุฃู†
1850
+
1851
+ 576
1852
+ 00:45:06,260 --> 00:45:10,200
1853
+ ู†ุฃุฎุฐ ุญุณุงุจู‡ ููŠ ุงู„ุญุณุจุฉ. ู„ูŠุดุŸ ู„ุฅู†ู‡ ู‡ุฐุง ุฅุฐุง ุงุชูƒุฑุฑ ุงุชู†ูŠู†
1854
+
1855
+ 577
1856
+ 00:45:10,200 --> 00:45:16,660
1857
+ ู…ู„ูŠูˆู† ู…ุฑุฉ ู…ุซู„ู‹ุงุŒ ู„ุง ุจูŠุตูŠุฑ ู…ุญุฑุฒุŒ ุจูŠุญุฑุฒ ุญุณุงุจู‡ ูƒูˆูŠุณ ููŠ
1858
+
1859
+ 578
1860
+ 00:45:16,660 --> 00:45:20,840
1861
+ ู‡ุงูŠ ุงู„ุญุณุจุฉ. ุจุงู„ู†ุณุจุฉ ู„ู†ุง ุจุฏู†ุง ู†ุดุชุบู„ ุนู„ู‰ ุงู„ู€ worst case. ุงู„ู€
1862
+
1863
+ 579
1864
+ 00:45:20,840 --> 00:45:23,880
1865
+ worst caseุŒ ุฅูŠุด ุงู„ู€ worst caseุŸ ุงู„ุขู† ุฃู†ูƒ ุฃู†ุชูŽ ู‡ุชุนู…ู„
1866
+
1867
+ 580
1868
+ 00:45:23,880 --> 00:45:30,100
1869
+ scan ุนู„ู‰ ูƒู„ ุงู„ู€ elementsุŒ ุตุญุŸ ูˆู‡ูŠ ู„ุงุฒู… ู‡ุชุนู…ู„ ุนู„ู‰
1870
+
1871
+ 581
1872
+ 00:45:30,100 --> 00:45:33,300
1873
+ ุงู„ูƒู„. ู‡ุฐู‡ุŒ ูุด ููŠู‡ุง best ุฃุตู„ู‹ุง. ุฃู†ุชูŽ ุจุชุฏูˆุฑ ุนู„ู‰ ุงู„ู€
1874
+
1875
+ 582
1876
+ 00:45:33,300 --> 00:45:38,280
1877
+ maximum element ุฏุงุฎู„ listุŒ ูู„ุงุฒู… ุชุนู…ู„ scan ุนู„ูŠู‡ู…
1878
+
1879
+ 583
1880
+ 00:45:38,280 --> 00:45:41,520
1881
+ ูƒู„ู‡ู…. ู„ุงุฒู… ุชุนู…ู„ scan ุนู„ูŠู‡ู… ูƒู„ู‡ู…. ูุด ู…ุฌุงู„ุŒ ูุด ู…ุฌุงู„.
1882
+
1883
+ 584
1884
+ 00:45:41,520 --> 00:45:48,680
1885
+ ูู‡ู†ุง ุจุจุณุงุทุฉ ุงู„ู€ timeุŒ ุงู„ู€ total timeุŒ ุจุฏู‡ ูŠูƒูˆู† T1 ูˆ T2
1886
+
1887
+ 585
1888
+ 00:45:49,290 --> 00:45:56,710
1889
+ ูˆ T3 ูˆ T4. ู…ู…ุชุงุฒ. T1ุŒ ุฃูƒุงู† ู…ุฑุฉุŒ ู‡ูƒุฑุฑู‡
1890
+
1891
+ 586
1892
+ 00:45:56,710 --> 00:46:04,770
1893
+ ุฃุซู†ุงุก ุงู„ู€ code ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุฎู„ุงุต ุฎู„ูŠู‡. ุฒุงุฆุฏ T2ุŒ N
1894
+
1895
+ 587
1896
+ 00:46:04,770 --> 00:46:14,670
1897
+ ู…ุฑุฉ ู‡ู†ุงุŒ ู…ุนู†ุงุชู‡ ู†ุนู…ู„ู‡ summation ู…ู† 2 ู„ู€ N. ูุฅุฐุง ู…ู† 2 to NุŒ ูƒูˆูŠุณุŸ
1898
+
1899
+ 588
1900
+ 00:46:14,670 --> 00:46:18,330
1901
+ T3ุŒ T3ุŒ ู…ุฑุฉ ุจุฑุถู‡ุŒ ู…ุฑุฉุŒ ู„ุฅู†ู‡ ู‡ูŠูุญุตู‡ุง ููŠ
1902
+
1903
+ 589
1904
+ 00:46:20,390 --> 00:46:26,510
1905
+ ูƒู„ ู…ุฑุฉ ุนู†ุฏ ูƒู„ loopุŒ ู‚ูŠู…ุฉ ููŠ ุงู„ู€ loop. ู‡ู†ุง ุจุฏู‡ ูŠูุญุต ุงู„ู€
1906
+
1907
+ 590
1908
+ 00:46:26,510 --> 00:46:30,350
1909
+ term ู‡ุฐุงุŒ ูู…ุนู†ุงุชู‡ ุฒุงุฆุฏุŒ ูˆู‡ู†ุนู…ู„ ู†ูุณ ุงู„ูƒู„ุงู…ุŒ summationุŒ
1910
+
1911
+ 591
1912
+ 00:46:30,350 --> 00:46:33,990
1913
+ ู„ู„ูƒู„ุŒ ู„ู„ู€ total. ุทูŠุจุŒ T4ุŒ ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ู‡ูˆ ู‡ูŠุนู…ู„
1914
+
1915
+ 592
1916
+ 00:46:33,990 --> 00:46:38,870
1917
+ return ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุฎู„ุงุตุŒ ู‡ุงูŠ ู‡ูŠ. return ู…ุฑุฉ ูˆุงุญุฏุฉ.
1918
+
1919
+ 593
1920
+ 00:46:42,350 --> 00:46:46,370
1921
+ OkayุŒ ุทู„ุนู†ุง ุดูƒู„ู‡ุง ู…ุนุงุฏู„ุฉ. ุฌุจู†ุง ู…ุนุงุฏู„ุฉ. ุงู„ุขู† ุจุฏู†ุง
1922
+
1923
+ 594
1924
+ 00:46:46,370 --> 00:46:49,850
1925
+ ู†ุดูˆู ุงู„ู€ order ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡. order ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐุง
1926
+
1927
+ 595
1928
+ 00:46:49,850 --> 00:46:54,050
1929
+ ุจุงู„ู†ุณุจุฉ ู„ูŠุŒ ู…ุฏุงู… ุฃู†ุง ุฏุงุฆู…ู‹ุง ุจุดุชุบู„ ุนู„ู‰ ู†ูุณ ุงู„ุฌู‡ุงุฒุŒ ุซุงุจุชุŒ
1930
+
1931
+ 596
1932
+ 00:46:55,670 --> 00:46:59,370
1933
+ ุตุญูŠุญุŒ ุฏุงุฆู…ู‹ุง ุฃู†ุชูŽ ุจุชุดุบู„ ุนู„ู‰ ู†ูุณ ุงู„ู€ laptop ุชุจุนูƒุŒ ูู…ุนู†ู‰
1934
+
1935
+ 597
1936
+ 00:46:59,370 --> 00:47:02,670
1937
+ ุฐู„ูƒ ุฅู†ู‡ ูƒู„ ู…ุฑุฉ ุจุชู†ูุฐุŒ ู‡ูˆ ุจูŠูƒูˆู† ุชู‚ุฑูŠุจู‹ุง ุซุงุจุช ุงู„ู€ timeุŒ
1938
+
1939
+ 598
1940
+ 00:47:02,670 --> 00:47:06,050
1941
+ ู‡ุฐุง. ุงู„ุชุบูŠุฑุงุช ุจุชูƒูˆู† ุจุณูŠุทุฉุŒ ุฅุฐุง ููŠ ุจุฑุงู…ุฌ ุชุงู†ูŠุฉ
1942
+
1943
+ 599
1944
+ 00:47:06,050 --> 00:47:08,290
1945
+ ู…ูุชูˆุญุฉ ู…ุนูƒุŒ ูˆู„ุง ู…ุงููŠุด ุจุฑุงู…ุฌุŒ ูˆู„ุง ุฃู†ุชูŽ ููŠ ุฃูˆู„ ุงู„ู€
1946
+
1947
+ 600
1948
+ 00:47:08,290 --> 00:47:12,010
1949
+ running ู„ู„ุจุฑู†ุงู…ุฌ. ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ู…ุฏุงู… ุฃู†ุชูŽ ุนู„ู‰ ู†ูุณ
1950
+
1951
+ 601
1952
+ 00:47:12,010 --> 00:47:17,570
1953
+ ุงู„ุฌู‡ุงุฒุŒ ู…ุง ุบูŠู‘ุฑุชุดุŒ ูู‡ูˆ ุจุงู„ู†ุณุจุฉ ู„ูŠ ุซุงุจุชุŒ
1954
+
1955
+ 602
1956
+ 00:47:17,570 --> 00:47:24,010
1957
+ ูˆู‡ุฐุง ู†ูุณ ุงู„ูƒู„ุงู… ู„ู…ู†ุŸ ู„ู„ุฃุฎูŠุฑุฉ ูุนู„ู‹ุงุŒ ู†ูุณ ุงู„ูƒู„ุงู… ู„ู€
1958
+
1959
+ 603
1960
+ 00:47:25,660 --> 00:47:33,920
1961
+ ู„ู„ู…ุฌู…ูˆุน ู‡ุฐูˆู„ ุงู„ุงุชู†ูŠู†. ุจุณ ู…ุน ุงู„ู€ summationุŒ ู…ุน
1962
+
1963
+ 604
1964
+ 00:47:33,920 --> 00:47:42,060
1965
+ ุงู„ู€ summation. ุชู…ุงู…. ู‡ุฐุง ุซุงุจุช ู…ุน ุซุงุจุชุŒ ุซุงุจุช ุฒุงุฆุฏ ู‡ู†ุง
1966
+
1967
+ 605
1968
+ 00:47:42,060 --> 00:47:49,060
1969
+ ู‚ุฏ ุฅูŠุดุŸ ุนุฏุฏ ู…ุฑุงุช ุงู„ุชูƒุฑุงุฑ. ู‡ู†ู‚ูˆู„ N ู…ุฑุฉุŒ ุฃูˆ N ู†ุงู‚ุต 1ุŒ
1970
+
1971
+ 606
1972
+ 00:47:49,060 --> 00:47:52,080
1973
+ ุนู„ู‰ ุจุฑูƒุฉ ุงู„ู„ู‡ุŒ ุจุฏุกู‹ุง ู…ู† 2. ุจุณ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠ
1974
+
1975
+ 607
1976
+ 00:47:52,080 --> 00:47:56,780
1977
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ orderุŒ linear. ุทุจ N ู†ุงู‚ุต 1 ุจุฑุถู‡
1978
+
1979
+ 608
1980
+ 00:47:56,780 --> 00:48:00,600
1981
+ ู‡ุชุธู„ linear. ุจุฏูƒ more specific ุชูƒูˆู†ุŸ OkayุŒ
1982
+
1983
+ 667
1984
+ 00:52:35,220 --> 00:52:39,500
1985
+ ู„ุง begin ูˆู„ุง end ุงู„ loop ูุนู„ูŠุงู‹ ู‡ูˆ ุงู„ุณุทุฑูŠู† ู‡ุฏูˆู„ ุจุณ
1986
+
1987
+ 668
1988
+ 00:52:39,500 --> 00:52:46,440
1989
+ ุฎู„ุตุช ูˆ false ุชุทู„ุน ุจุชุดูˆู ุงู„ if then ุงู„ if then
1990
+
1991
+ 669
1992
+ 00:52:46,440 --> 00:52:55,860
1993
+ ู‡ุชุนู…ู„ู‡ุง ู…ุฑุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ุชุชุญู‚ู‚ุŒ ุตุญุŸ ูŠุนู†ูŠ ุฃู†ุช ูุญุตุชู‡ุง ุฃู†ุช
1994
+
1995
+ 670
1996
+ 00:52:55,860 --> 00:53:01,380
1997
+ ูุนู„ุงู‹ ูุญุตุชู‡ุงุŒ okay ูˆูŠู† ุฑูˆุญู†ุงุŸ ุงู‡ ูุญุตู†ุงู‡ุง ูุตุงุฑ ุฒุงุฆุฏ T
1998
+
1999
+ 671
2000
+ 00:53:01,380 --> 00:53:08,720
2001
+ ุฃุฑุจุนุฉุŒ ูˆุฅู† ุฌุจุฑุช ุชุฑูˆุญ ุชู†ูุฐ ุงู„ else ูƒู…ุงู†ุŒ ุตุญุŸ ู„ุฃู† ุฃู†ุช
2002
+
2003
+ 672
2004
+ 00:53:08,720 --> 00:53:12,900
2005
+ ูุนู„ุงู‹ ููŠ ุฃุณูˆุฃ ุงู„ุญุงู„ุงุช ุฃู†ูƒ ู…ุง ู„ู‚ุชุดุŒ ูุทู„ุนุช ุงู„ then
2006
+
2007
+ 673
2008
+ 00:53:12,900 --> 00:53:18,530
2009
+ ู…ุง ุชุญู‚ู‚ุชุด then ู…ุด ู‡ุชุชุญู‚ู‚ุŒ ู„ุฃู† ุฃู†ุช ูุญุตุชุŒ ุฃู†ุช ูุญุตุช
2010
+
2011
+ 674
2012
+ 00:53:18,530 --> 00:53:23,270
2013
+ ูุฃู†ุช ุงุณุชู†ูุฐุช ุงู„ูˆู‚ุช ุชุจุน T ุฃุฑุจุนุฉ ูˆุฑุญุช ู„ู„ู€ T ุฎู…ุณุฉ
2014
+
2015
+ 675
2016
+ 00:53:23,270 --> 00:53:27,930
2017
+ ู†ูุฐุชู‡ุง ูƒู…ุงู† ุนุดุงู† ุชุฑุฌุน ู„ูŠ ุจุตูุฑุŒ ุชู‚ูˆู„ ู„ูŠ ุฃู†ูƒ ุฃู†ุช ู…ุง ูˆุฌุฏุชุด
2018
+
2019
+ 676
2020
+ 00:53:27,930 --> 00:53:36,370
2021
+ x ูุฒุงุฆุฏ ุฎู…ุณุฉ ูƒู…ุงู†ุŒ ุซู… return ุฌุงุก ุฒุงุฆุฏ ุณุชุฉุŒ ุชู…ุงู…ุŸ
2022
+
2023
+ 677
2024
+ 00:53:36,370 --> 00:53:39,150
2025
+ ุฃุชูˆู‚ุน ุจุชู‚ุฏุฑ ู‡ูŠูƒ ุชุทู„ุน ุชู‚ูˆู„ ู„ูŠ ุงู„ order total
2026
+
2027
+ 678
2028
+ 00:53:39,150 --> 00:53:45,760
2029
+ ู‚ุฏ ุฅูŠุดุŒ ุตุญุŸ ุฒูŠ ู…ุง ุนู…ู„ู†ุงุŒ ูู‡ุชู„ุงู‚ูŠ ุฃู† ู‡ูŠ ูุนู„ูŠุงู‹ ฮธ of
2030
+
2031
+ 679
2032
+ 00:53:45,760 --> 00:53:53,540
2033
+ n ุฃุตุจุญุช ุจุงูŠุณู†ุฒ ู…ู…ุชุงุฒุŒ ุชู…ุงู…ุŸ ูุฃุตุจุญุช ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูŠ
2034
+
2035
+ 680
2036
+ 00:53:53,540 --> 00:53:57,820
2037
+ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ worst case program ููŠ
2038
+
2039
+ 681
2040
+ 00:53:57,820 --> 00:54:02,080
2041
+ ุญุงู„ุฉ ุงู„ worst caseุŒ ุทุจ the best case ุฅูŠุด ุฏู‡ุŸ best
2042
+
2043
+ 682
2044
+ 00:54:02,080 --> 00:54:05,780
2045
+ case ุฃู†ู‡ ู…ู† ุฃูˆู„ ู…ุฑุฉ ู„ู‚ูŠุชู‡ุŒ ู…ู† ุฃูˆู„ ู…ุฑุฉ ู‡ุชุฌุฏ ุฃู†ู‡
2046
+
2047
+ 683
2048
+ 00:54:05,780 --> 00:54:09,840
2049
+ ูˆุฌุฏุชู‡ุŒ ุทูŠุจ ู…ู† ุฃูˆู„ ู…ุฑุฉ ู…ุนู†ุงุชู‡ ุญุงุฌุฉ ุฃุทุจู‚
2050
+
2051
+ 684
2052
+ 00:54:12,300 --> 00:54:18,620
2053
+ ูˆุงุญุฏุŒ ูˆู‡ุทุจู‚ ุงุชู†ูŠู†ุŒ ู„ุฃู†ู‡ ู„ุงุฒู… ุฃุนู…ู„ ูุญุตุŒ ู‡ุฑูˆุญ ู„ุชู„ุงุชุฉ
2054
+
2055
+ 685
2056
+ 00:54:18,620 --> 00:54:23,500
2057
+ ู…ุด ู…ุถุทุฑุŒ ู„ุฃู†ู‡ ู…ู† ุงุชู†ูŠู† ุตุงุฑ false ูู…ุด ู‡ุงุฎุฏ ุชู„ุงุชุฉ
2058
+
2059
+ 686
2060
+ 00:54:23,500 --> 00:54:27,800
2061
+ ู‡ุฑูˆุญ ู„ุฃุฑุจุนุฉุŒ ุงู‡ ู‡ุฑูˆุญ ุฃุนู…ู„ ุฃุฑุจุนุฉุŒ ูˆุฃุฑุจุนุฉ ู‡ู†ุง ู‡ุชูƒูˆู†
2062
+
2063
+ 687
2064
+ 00:54:27,800 --> 00:54:34,200
2065
+ trueุŒ ูู†ู†ูุฐู‡ุงุŒ ู…ุด ู‡ุฑูˆุญ ู„ุฎู…ุณุฉุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู†ูุฐุช ุงู„
2066
+
2067
+ 688
2068
+ 00:54:34,200 --> 00:54:37,800
2069
+ conditionุŒ ูˆุงู„ condition true ู…ุด falseุŒ trueุŒ ูุฅุฐุงู‹
2070
+
2071
+ 689
2072
+ 00:54:37,800 --> 00:54:42,740
2073
+ ุชู„ุงุชุฉ ูˆุฎู…ุณุฉ ู…ุด ู…ุญุชุงุฌู‡ู…ุŒ ุทูŠุจ totally ุฅูŠุด ุทู„ุน
2074
+
2075
+ 690
2076
+ 00:54:42,740 --> 00:54:47,020
2077
+ constantุŒ ุจุณ ู‡ุฐู‡ ุฃูุถู„ ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุจุถู…ู†ุด ุฃุดุชุบู„
2078
+
2079
+ 691
2080
+ 00:54:47,020 --> 00:54:50,200
2081
+ ุฏุงูŠู…ุงู‹ ุนู„ูŠู‡ุงุŒ ุจุถู…ู†ุด ุนู…ู„ู†ุง ุฏุงูŠู…ุงู‹ ุนู„ูŠู‡ุง ููŠ ุงู„ average
2082
+
2083
+ 692
2084
+ 00:54:50,200 --> 00:54:54,960
2085
+ ููŠ ุงู„ู…ุชูˆุณุทุŒ ุฃู†ูŠ ุฃู‚ูˆู„ ููŠ ู†ุต ุงู„ุจุญุซ
2086
+
2087
+ 693
2088
+ 00:54:55,630 --> 00:54:59,550
2089
+ ููŠ ู†ุต ุงู„ list ูˆุฌุฏุช X ุงู„ู…ุทู„ูˆุจุฉุŒ ู‡ุชุถู€ู„ ุฒูŠู‡ุง ุฒูŠ ุงู„
2090
+
2091
+ 694
2092
+ 00:54:59,550 --> 00:55:07,750
2093
+ worstุŒ ุจุงู„ุงุณุชุซู†ุงุก T5ุŒ ู„ูŠุด T5ุŸ ู„ุฃู†ู‡ ูุนู„ูŠุงู‹ ุฃู†ุง ู‡ุทุจู‚ุŒ ูˆ
2094
+
2095
+ 695
2096
+ 00:55:07,750 --> 00:55:12,570
2097
+ ู‡ุฃู„ุฌุฃ ุฃู† then it trueุŒ ุงู„ condition ู‡ู†ุง trueุŒ ูู…ุด
2098
+
2099
+ 696
2100
+ 00:55:12,570 --> 00:55:19,950
2101
+ ู‡ู†ุฑูˆุญ ู„ู„ elseุŒ ู…ุด ู‡ู†ุฑูˆุญ ู„ู„ elseุŒ ูุฎู…ุณุฉ ู…ุด ู…ุดู…ูˆู„ุฉุŒ T5 ุจุณ
2102
+
2103
+ 697
2104
+ 00:55:19,950 --> 00:55:22,170
2105
+ ูƒ orderุŒ ุถู„ ู†ูุณ ุงู„ order ู„ู„ worst case
2106
+
2107
+ 698
2108
+ 00:55:25,660 --> 00:55:30,980
2109
+ ู„ุฃู† ุงู„ order in ุฃูˆ ุงู„ order ู†ุต inุŒ ุฏู„ุช first order
2110
+
2111
+ 699
2112
+ 00:55:30,980 --> 00:55:34,200
2113
+ ุฑุจุทู‡ ููŠ ู†ุต ุงู„ู†ุต ุจุงู„ู†ุณุจุงู„ูƒ ูƒุฃู†ู‡ constantุŒ ูˆ
2114
+
2115
+ 700
2116
+ 00:55:34,200 --> 00:55:37,480
2117
+ constant ููŠ ุงู„ function ุจุชุถู€ู„ ุฒูŠ ู…ุง ู‡ูŠ ู„ุนู†ุฏูŠุŒ ูƒุฎู„ุตู†ุง
2118
+
2119
+ 701
2120
+ 00:55:37,480 --> 00:55:40,280
2121
+ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุจู†ูƒู…ู„ ุจุงู‚ูŠ ุฃูƒูˆุงุฏุŒ ู†ุนู…ู„
2122
+
2123
+ 702
2124
+ 00:55:40,280 --> 00:55:42,300
2125
+ ู„ู‡ู… ุชุญู„ูŠู„ุŒ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ูŠุนุทูŠูƒู… ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/3aNkUT5m_as_postprocess.srt ADDED
@@ -0,0 +1,2460 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,150 --> 00:00:08,730
3
+ ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ ูŠุง ุดุจุงุจ ู†ูƒู…ู„ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰
4
+
5
+ 2
6
+ 00:00:08,730 --> 00:00:11,410
7
+ ููŠู‡ ู…ูˆุถูˆุน ุงู„ predicate ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง ููŠู‡ ุงู„ู…ุฑุฉ
8
+
9
+ 3
10
+ 00:00:11,410 --> 00:00:15,910
11
+ ุงู„ุณุงุจู‚ุฉ ุจุฅุฐู† ุงู„ู„ู‡ ุงุชูƒู„ู…ู†ุง ูˆูˆุตู„ู†ุง ู„ููƒุฑุฉ ุงู„
12
+
13
+ 4
14
+ 00:00:15,910 --> 00:00:19,150
15
+ predicate ุนู„ู‰ ุงุณุงุณ ุงู† ู‡ูˆ propositional function ู…ุด
16
+
17
+ 5
18
+ 00:00:19,150 --> 00:00:21,730
19
+ ู‡ูŠูƒ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุงู† ู‡ูŠ propositional function ููƒ
20
+
21
+ 6
22
+ 00:00:21,730 --> 00:00:24,830
23
+ propositional function ุจู‚ุฏุฑ ุงุณู…ูŠู‡ุง capital P ู‡ุฐู‡
24
+
25
+ 7
26
+ 00:00:24,830 --> 00:00:29,030
27
+ ุงู„ predicate ุณู…ูŠู†ุงู‡ุง of X ูˆ X ู‡ุฐุง ู‡ูˆ ุงู„ variable
28
+
29
+ 8
30
+ 00:00:29,030 --> 00:00:32,950
31
+ ุชุจุนู†ุง ุงูˆ ุงู„ object ุงูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ subject ุญุณุจ ุงู„
32
+
33
+ 9
34
+ 00:00:32,950 --> 00:00:37,770
35
+ expression ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒุฒูŠ ู„ูˆ ุงูุชุฑุถู†ุง P of X ู‡ูŠ
36
+
37
+ 10
38
+ 00:00:37,770 --> 00:00:42,990
39
+ equal to ุฅูŠุดุŸ X greater than 7 ุฃูƒุจุฑ ู…ู† ุณุจุนุฉ ูููŠ
40
+
41
+ 11
42
+ 00:00:42,990 --> 00:00:48,390
43
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ูˆ ู‚ู„ู†ุง P of 3 P of 3 ู‡ูŠูƒูŠ ุจู‡ุฐุง ุงู„ุดูƒู„
44
+
45
+ 12
46
+ 00:00:48,390 --> 00:00:53,370
47
+ ุงู„ู„ูŠ ู‡ูŠ ุฃุตุจุญุช ููŠู‡ ูƒุงู…ู„ุฉ ุฃุตุจุญุช proposition ู„ูŠุดุŸ
48
+
49
+ 13
50
+ 00:00:53,370 --> 00:00:56,750
51
+ ุจุจุณุงุทุฉ ู„ุฃู†ู‡ ุงุชูู‚ู†ุง ู‚ุจู„ ู‡ูŠูƒูŠ ู‚ู„ู†ุง ุฅู†ู‡ ุฅุฐุง ูƒุงู† ุจู‚ุฏุฑ
52
+
53
+ 14
54
+ 00:00:56,750 --> 00:01:01,850
55
+ ุฃุนุทูŠู‡ุง valueุตุญูŠุญุŸ logic value ุงูˆ truth value ุงู…ุง
56
+
57
+ 15
58
+ 00:01:01,850 --> 00:01:04,890
59
+ false ุงูˆ true ูˆุงุชูู‚ู†ุง ุนู„ู‰ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุจุฑุถู‡ ู…ุด
60
+
61
+ 16
62
+ 00:01:04,890 --> 00:01:08,110
63
+ ุจุงู„ุถุฑูˆุฑูŠ truth value ู…ุนู†ุงุชู‡ ู‡ูŠ ู„ุงุฒู… ุชูƒูˆู† true ูŠุง
64
+
65
+ 17
66
+ 00:01:08,110 --> 00:01:11,710
67
+ true ูŠุง false ุงู†ุง ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู† ู‡ุฐู‡ ู‡ูŠ false ู„ูŠุดุŸ
68
+
69
+ 18
70
+ 00:01:11,710 --> 00:01:15,010
71
+ ู„ุงู†ู‡ ุจุนูˆุฏ ุจุงู„ X ุจุงู„ู‚ูŠู…ุฉ ุจุชุงุนุชู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชู„ุงุชุฉ
72
+
73
+ 19
74
+ 00:01:15,010 --> 00:01:19,150
75
+ ูุนุงุฌุฒ ุงู† ุชู„ุงุชุฉ greater than seven ุงูƒูŠุฏ false ู…ุฌุฑุฏ
76
+
77
+ 20
78
+ 00:01:19,150 --> 00:01:22,310
79
+ ูƒู„ู…ุฉ false ู…ุนู†ุงุชู‡ ู‡ุชู‡ูŠ ุตุงุฑุช ุงู„ proposition ูŠุนู†ูŠ
80
+
81
+ 21
82
+ 00:01:22,310 --> 00:01:27,250
83
+ expression ูˆุงุถุญ ูƒุงู…ู„ complete thought ุทูŠุจ P of
84
+
85
+ 22
86
+ 00:01:27,250 --> 00:01:32,910
87
+ eightุจุฑุถู‡ ุจู†ุนูˆุฏ ุชู…ุงู†ูŠุฉ ุงูƒุจุฑ ู…ู† ุณุจุนุฉ ุงู‡ ุงูƒุจุฑ ู…ู†
88
+
89
+ 23
90
+ 00:01:32,910 --> 00:01:35,890
91
+ ุณุจุนุฉ ูุฅุฐุง true ู…ุงุฏุงู… ู‚ู„ุช true ูู‡ูŠ proposition
92
+
93
+ 24
94
+ 00:01:35,890 --> 00:01:39,250
95
+ ุฃุตุจุญุช ุฎู„ุงุต ุจุทู„ุช predicate predicate ู…ุนู†ุงุชู‡ ู…ุง ุฒุงู„
96
+
97
+ 25
98
+ 00:01:39,250 --> 00:01:45,430
99
+ ููŠู‡ุง ุจู†ุณู…ูŠู‡ free variable ู…ุง ุฒุงู„ ููŠู‡ุง ู…ุชุบูŠุฑ ุญุฑ ู…ุด
100
+
101
+ 26
102
+ 00:01:45,430 --> 00:01:51,380
103
+ ู…ุนุทู‚ ู‚ูŠู…ุฉ ุชู…ุงู… ู„ูƒู† ู„ู…ุง ู†ู‚ูˆู„ ู…ุซุงู„ ุฒูŠ ู‡ุงู„ู…ุซุงู„ุงู„ู„ูŠ
104
+
105
+ 27
106
+ 00:01:51,380 --> 00:02:00,400
107
+ ู„ุนู†ู‡ุง ุงู‚ูˆู„ P of 3 P of X 3 ูˆ 5 ู„ X plus Y greater
108
+
109
+ 28
110
+ 00:02:00,400 --> 00:02:06,420
111
+ than 7 ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฑุถู‡ ู…ุงู‚ุฏุฑุด ุงู‚ูˆู„ ุจุนุฏ ู…ุง ุงุนูˆุถ
112
+
113
+ 29
114
+ 00:02:06,420 --> 00:02:13,040
115
+ ู…ู†ู‡ ุตุญ ูˆู„ุง ุบู„ุท ู„ูŠุด ู„ุงู†ู‡ ู‡ุชุตุจุญ ูƒุชุงู„ูŠ X ุฒุงุฆุฏ 3 ุฃูƒุจุฑ
116
+
117
+ 30
118
+ 00:02:13,040 --> 00:02:19,020
119
+ ู…ู† 5 ูู‡ุฐู‡ ู…ุนู†ุงุชู‡ X ุฃูƒุจุฑ ู…ู† 2
120
+
121
+ 31
122
+ 00:02:21,330 --> 00:02:24,250
123
+ ู„ูƒู† ุฃู†ุง ู…ุด ุนุงุฑู X ูุงู†ุง ู…ุด ุนุงุฑู ุฃู‚ูˆู„ ุตุญ ูˆู„ุง ุบู„ุท
124
+
125
+ 32
126
+ 00:02:24,250 --> 00:02:29,290
127
+ ู„ุฅุญู†ุง ุนุงุฑููŠู† X ูˆุงุญุฏ ุนุดุงู† ุฃู‚ูˆู„ ุนู„ูŠู‡ุง ุบู„ุท ูˆู„ุง ุนุงุฑููŠู†
128
+
129
+ 33
130
+ 00:02:29,290 --> 00:02:34,010
131
+ X ู‡ูŠ ุฎู…ุณุฉ ุนุดุงู† ุฃู‚ูˆู„ ุนู„ูŠู‡ุง ู…ุซู„ุง true ูุฅุฐุง ุญุชู‰ ุงู„ุขู†
132
+
133
+ 34
134
+ 00:02:34,010 --> 00:02:38,770
135
+ ู‡ุฐู‡ ู…ุงุฏุงู… ุจุฏูˆู† values ู†ู‚ุฏุฑ ู†ู‚ูˆู„ ุนู†ู‡ุง ุฅู† ู‡ูŠ not
136
+
137
+ 35
138
+ 00:02:38,770 --> 00:02:42,390
139
+ proposition ูŠุนู†ูŠ predicate ุฅูŠุด predicateุŸ
140
+
141
+ 36
142
+ 00:02:42,390 --> 00:02:45,210
143
+ propositional function ู…ุนู†ุงุชู‡ propositional
144
+
145
+ 37
146
+ 00:02:45,210 --> 00:02:50,990
147
+ function ุทูŠุจ ู„ู…ุง ุฃู‚ูˆู„ P three two fourุจู†ุนูˆุฏ ู‡ุฃุฌุฏ
148
+
149
+ 38
150
+ 00:02:50,990 --> 00:02:54,870
151
+ ุฃู†ู‡ุง ูˆุงู„ู„ู‡ ู…ู†ุทู‚ูŠุฉ ู…ุน ุงู„ู…ุนุงุฏู„ุฉ ุญู‚ู‚ุช ุงู„ู…ุนุงุฏู„ุฉ ูุจู‚ูˆู„
152
+
153
+ 39
154
+ 00:02:54,870 --> 00:02:59,570
155
+ true ู…ุฌุฑุฏ ูƒู„ู…ุฉ true ู…ุนู†ุงุชู‡ ู‡ูŠ proposition ู†ูุณ
156
+
157
+ 40
158
+ 00:02:59,570 --> 00:03:04,350
159
+ ุงู„ููƒุฑุฉ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุชู…ุงู†ูŠุฉ is false ู„ูˆ ุนูˆุถู†ุง ู‡ู†ุฌุฏ
160
+
161
+ 41
162
+ 00:03:04,350 --> 00:03:09,230
163
+ ุฃู†ู‡ ู…ุงุญู‚ู‚ุชุด ุงู„ู…ุนุงุฏู„ุฉ ูุฅุฐู† ู‡ูŠ false ู…ุฌุฑุฏ ูƒู„ู…ุฉ false
164
+
165
+ 42
166
+ 00:03:09,230 --> 00:03:13,510
167
+ ู…ุนู†ุงุชู‡ ุฃู†ู‡ุง proposition ู„ุฃู† ุฃู†ุง ู‚ุฏุฑุช ุฃุญูƒู… ุนู„ูŠู‡ุง
168
+
169
+ 43
170
+ 00:03:13,510 --> 00:03:17,450
171
+ ู…ุฏุงู… ุญูƒู…ุช ุนู„ูŠู‡ุง ูุฅุฐู† ู‡ูŠ ุจุงู„ู†ุณุจุงู„ูŠ ุฅุนุทุชู†ูŠ ููƒุฑุฉ
172
+
173
+ 44
174
+ 00:03:17,450 --> 00:03:24,050
175
+ ุงู„ููƒุฑุฉ ู‡ูŠ ุฅู…ุง ุตุญ ุฃูˆ ุฎุทุฃOkay ูˆ ุจุฑุถู‡ ุฎุชู…ู†ุง ุงู„ู…ุญุงุถุฑุฉ
176
+
177
+ 45
178
+ 00:03:24,050 --> 00:03:26,390
179
+ ุงู„ู…ุงุถูŠุฉ ุจุงู„ example ู‡ุฐุง ู„ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูŠ
180
+
181
+ 46
182
+ 00:03:26,390 --> 00:03:32,790
183
+ ุฃูƒุชุฑ ู…ู† ู…ุช๏ฟฝ๏ฟฝูŠุฑ ูˆ ุฃุฎุฏู†ุง P of X Y and Z ูˆ ู‚ู„ู†ุง X gave
184
+
185
+ 47
186
+ 00:03:32,790 --> 00:03:39,920
187
+ Y the grade Z ุตุงุฑ ููŠ ุนู†ุฏูŠ three databases3
188
+
189
+ 48
190
+ 00:03:39,920 --> 00:03:43,740
191
+ databases ุงูˆ ู‚ุงุนุฏ ุจูŠุงู†ุงุช ููŠ ุนู†ุฏูŠ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช ู„ X
192
+
193
+ 49
194
+ 00:03:43,740 --> 00:03:48,500
195
+ ูˆู‡ุฐุง ู‡ูˆ ุงู„ู…ุฏุฑุณ ู…ุฌู…ูˆุน ุงู„ู…ุฏุฑุณูŠู† ุงู„ู„ูŠ ุจูŠุนุทูˆุง ุงู„ุนู„ุงู…ุงุช
196
+
197
+ 50
198
+ 00:03:48,500 --> 00:03:54,160
199
+ ุตุญูŠุญ ูˆู…ุฌู…ูˆุนู‡ ููŠ ุนู†ุฏูŠ database ุฎุงุตุฉ ุจุงู„ุทู„ุงุจ ู‡ูŠู‡ุง
200
+
201
+ 51
202
+ 00:03:54,160 --> 00:03:58,960
203
+ ูˆู‡ุฐู‡ ุฎุงุตุฉ ุจุงู„ุทู„ุงุจ ู†ูุณู‡ู… ู…ุนู†ุงุชู‡ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ุชุญุช
204
+
205
+ 52
206
+ 00:03:58,960 --> 00:04:02,480
207
+ ู…ุฌู…ูˆุน ุงู„ุทู„ุงุจ ุงู„ู…ุณุฌู„ูŠู† ุงู„ู…ุณุงู‚ ุงู„ู…ุณุงุฌู„ูŠู† ุงู„ู…ุณุงู‚
208
+
209
+ 53
210
+ 00:04:02,480 --> 00:04:06,100
211
+ ู…ุฌู…ูˆุญู‡ู… ุฌุฏูŠุด ุฎู…ุณูŠู† ุณุชูŠู† ุณุจุนูŠู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู‡ู…
212
+
213
+ 54
214
+ 00:04:06,100 --> 00:04:09,610
215
+ ุจูŠูƒูˆู†ูˆุง ุนุจุงุฑุฉ ุนู† database ู…ูˆุฌูˆุฏูŠู† ู‡ู†ุงูƒู„ ุนู†ุตุฑ
216
+
217
+ 55
218
+ 00:04:09,610 --> 00:04:13,210
219
+ ู„ุญุงู„ู‡ุŒ ูƒู„ ุงุณู… ู„ุญุงู„ู‡ุŒ ูƒู„ ุฑู‚ู… ุฌุงู…ุนูŠ ู„ุญุงู„ู‡ุŒ ู…ู…ุชุงุฒ
220
+
221
+ 56
222
+ 00:04:13,210 --> 00:04:18,490
223
+ that the great .. ุงู„ู„ูŠ ู‡ูˆ gave y the great zุŒ z
224
+
225
+ 57
226
+ 00:04:18,490 --> 00:04:23,550
227
+ ู‡ุฐู‡ ู‡ุชูƒูˆู† ู‡ูŠ ู‡ุงู„ุงุฑุจุน ุฎู…ุณ .. ุฎู…ุณ grades ุงู„ู„ูŠ ู…ุชูู‚
228
+
229
+ 58
230
+ 00:04:23,550 --> 00:04:27,850
231
+ ุนู„ูŠู‡ู…ุŒ ู…ู…ุชุงุฒุŒ ุฌูŠุฏ ุฌุฏุงุŒ ุงู„ู„ูŠ ู‡ูˆ a ูˆ b ูˆ c ูˆ d ูˆ fุŒ
232
+
233
+ 59
234
+ 00:04:27,850 --> 00:04:32,930
235
+ ู…ุด ู‡ูŠูƒุŸ ู…ู† ุงู„ุฑุงุณุจ ู„ู„ู…ู‚ุจูˆู„ ู„ุงู„ุฌูŠุฏุŒ ุฌูŠุฏ ุฌุฏุงุŒ ุซู…
236
+
237
+ 60
238
+ 00:04:32,930 --> 00:04:37,490
239
+ ุงู„ู…ู…ุชุงุฒู‡ุฏูˆู„ ู…ุญู‚ู‚ูˆู† ูŠู†ูŠู† ูˆู…ุด ููŠู‡ู… ู…ุดูƒู„ุฉ ุจู†ุญุทู‡ู… ุฏุงุฎู„
240
+
241
+ 61
242
+ 00:04:37,490 --> 00:04:40,110
243
+ ุงู„ array ุจุณ ุจุฏูŠ ุงุนุฑู ุงู† ุงู„ array ุฏู‡ ู‡ูˆ database
244
+
245
+ 62
246
+ 00:04:40,110 --> 00:04:45,730
247
+ ุงุตู„ุง ู‡ูŠ database ูˆ ุจุนุฏ ุฐู„ูƒ ุจู†ุนุฑูู‡ู… ุจู†ุงุฎุฏู‡ู… ูˆ ู…ู…ูƒู†
248
+
249
+ 63
250
+ 00:04:45,730 --> 00:04:49,370
251
+ ู†ุนู…ู„ combination ูƒุงู…ู„ ุจู…ุนู†ู‰ ุงู† ูƒู„ ุงู„ู…ุฏุฑุณูŠู† ู…ุฏุงู… ู‡ู…
252
+
253
+ 64
254
+ 00:04:49,370 --> 00:04:54,420
255
+ ุจูŠุฏุฑุณูˆุงูˆ ุงู„ุทู„ุงุจ ู…ูˆุฌูˆุฏูŠู† ุฏุงุฎู„ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ู…ุนู†ุงุชู‡
256
+
257
+ 65
258
+ 00:04:54,420 --> 00:04:59,540
259
+ ูƒู„ ู…ุฏุฑุณ ู„ุงุฒู… ูŠุนุทูŠ ู„ูƒู„ ุทู„ุงุจู‡ ุนู„ุงู…ุงุช ู„ุงุฒู… ูŠุนุจูŠู„ู‡ู…
260
+
261
+ 66
262
+ 00:04:59,540 --> 00:05:05,740
263
+ ุนู„ุงู…ุฉ Z ู‡ุฐู‡ ู„ุงุฒู… ูŠุชุนุจ ุนู„ุงู…ุฉ Z ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจู†ู‚ุฏุฑ
264
+
265
+ 67
266
+ 00:05:05,740 --> 00:05:12,300
267
+ ู†ู‚ูˆู„ ุฅุฐุง given ุนู†ุฏูŠ X Mike ูˆ Y Mary ูˆ Z A grade A
268
+
269
+ 68
270
+ 00:05:12,300 --> 00:05:20,210
271
+ ูุชุตุจุญ ุงู„ุฌู…ู„ุฉ ูƒุฃู†ู‡ ุจู‚ูˆู„Mike gave Mary the grade A
272
+
273
+ 69
274
+ 00:05:20,210 --> 00:05:23,290
275
+ ุฃู†ุง ู…ุฌุฑุฏ ุฏุฎู„ุช ุจุณ ุงู„ุจูŠุงู†ุงุช ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู…ุนู†ู‰
276
+
277
+ 70
278
+ 00:05:23,290 --> 00:05:28,370
279
+ ูƒู…ุฏุฑุณูŠู† ุฃู†ุง ุจุงุฌูŠ ูˆ ุจู„ู‚ู‰ ู‚ุฏุงู…ูŠ ุฃุฑู‚ุงู… ุฌุงู…ุนูŠุฉ ุงู„ุฃุฑู‚ุงู…
280
+
281
+ 71
282
+ 00:05:28,370 --> 00:05:33,030
283
+ ุงู„ุฌุงู…ุนูŠุฉ ู‡ูŠ ู‡ุฐู‡ ู…ู† ูˆูŠู† ุงุฌุช ู…ู† ูˆ ู…ู† ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช Y
284
+
285
+ 72
286
+ 00:05:33,030 --> 00:05:39,050
287
+ ููƒู„ ุทุงู„ุจ ู…ุณุฌู„ ู‡ูˆ element ุฏุงุฎู„ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ูˆ
288
+
289
+ 73
290
+ 00:05:39,050 --> 00:05:43,830
291
+ ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ุง ู„ุงุญู‚ุง ูุถุงุก ุงู„ุนูŠู†ุฉููŠ ุนูŠู†ุงุช Y ู‡ุฐู‡
292
+
293
+ 74
294
+ 00:05:43,830 --> 00:05:47,270
295
+ ุจุฏูŠูƒูˆู† ุงู„ูุถุงู„ุฉ ุนูŠู†ุฉ ุงู„ู„ูŠ ู‡ู… ู…ูŠู† ุงู„ Y ุงู„ู„ูŠ ู…ุณู…ูˆุญู„ู‡
296
+
297
+ 75
298
+ 00:05:47,270 --> 00:05:52,590
299
+ ุงุนุทูŠู‡ ุฏุฑุฌุฉ ุงู„ู„ูŠ ู…ุณุฌู„ ูู‚ุท ุงู„ู„ูŠ ู…ุด ู…ุณุฌู„ ู‡ูŠุฌูŠู†ูŠ ูŠุง
300
+
301
+ 76
302
+ 00:05:52,590 --> 00:05:55,850
303
+ ุฏูƒุชูˆุฑ ุจุฏูŠ ุฏุฑุฌุฉ ุทุจ ุงุณู…ูƒ ู…ุด ู†ุฒู„ ุนู†ุฏูŠ ูƒูŠู ุงุนุทูŠูƒ ุฏุฑุฌุฉุŸ
304
+
305
+ 77
306
+ 00:05:55,850 --> 00:05:58,530
307
+ ู‡ูŠ ู…ุด ููƒุฑุฉ ุงู†ู‡ ุงู†ุง ุจุฏูŠ .. ูŠุนู†ูŠ ู…ู† ุนู†ุฏ ุงู†ุง ู…ุงุจุฏูŠุด
308
+
309
+ 78
310
+ 00:05:58,530 --> 00:06:01,690
311
+ ุงุนุทูŠูƒ ุฏุฑุฌุฉ ุจุณ ู‡ูŠ ุงู„ููƒุฑุฉ ุงู†ู‡ ุงู†ุง ุนู†ุฏูŠ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช
312
+
313
+ 79
314
+ 00:06:01,690 --> 00:06:08,420
315
+ ุงู†ุง ู…ู†ุฐู… ููŠ ุงู„ุจุฑู†ุงู…ุฌ ูƒุฃุณุชุงุฐ Xูˆ ุฃู†ุง ู„ุงุฒู… ุฃุตู„ุง ุฃูƒูˆู†
316
+
317
+ 80
318
+ 00:06:08,420 --> 00:06:11,320
319
+ ู…ูˆุฌูˆุฏ ุถู…ู† X ูˆ ุฅู„ุง ู…ุนู†ุงุชู‡ ู…ุด ุฃู†ุง ุงู„ู„ูŠ ุจู‚ุฏุฑ ุฃุนุทูŠูƒ
320
+
321
+ 81
322
+ 00:06:11,320 --> 00:06:14,600
323
+ ุงู„ุนู„ุงู…ุฉ ููŠ ุบูŠุฑ ุจูŠุนุทูŠูƒ ุนู„ุงู…ุฉ ู„ูƒู† ู„ุงุฒู… ุฃูƒูˆู† ุฃู†ุง ุถู…ู†
324
+
325
+ 82
326
+ 00:06:14,600 --> 00:06:20,000
327
+ X ูˆ ุฃู†ุช ุชูƒูˆู† ุถู…ู† Y ุนุดุงู† ุฃุนุทูŠูƒ ุฃุญุฏ ุนู„ุงู…ุงุช Z ุงู„ู„ูŠ ู‡ูŠ
328
+
329
+ 83
330
+ 00:06:20,000 --> 00:06:26,420
331
+ A B C D ูˆ F ุชู…ุงู…ุŸ ูƒูˆูŠุณ ู‡ุฐุง ุงู„ู„ูŠ ุฎู„ุงู†ูŠ ุฃุฑุฌุน ู„ุงู„ู…ุซุงู„
332
+
333
+ 84
334
+ 00:06:26,420 --> 00:06:28,780
335
+ ู‡ุฐุง ุฃู†ู‡ ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง
336
+
337
+ 85
338
+ 00:06:28,780 --> 00:06:34,270
339
+ universe of discourseูุถุงุก ุงู„ุนูŠู†ุฉ ุงู„ูุถุงุก ุงู„ุนูŠู†ุฉ
340
+
341
+ 86
342
+ 00:06:34,270 --> 00:06:37,470
343
+ ุงู„ู„ู‰ ุจุฏู†ุง ู†ุฎุชุงุฑ ู…ู†ู‡ ุงู„ู…ุชุบูŠุฑุงุช ูุนู†ุฏู‰ ู…ุฌู…ูˆุนุฉ
344
+
345
+ 87
346
+ 00:06:37,470 --> 00:06:41,170
347
+ variables ุงู„ู„ู‰ ู‡ู…ุง X ูˆY ูˆZ ูˆูƒุงู†ูˆุง ู…ู† ูˆูŠู† ุงุฎุชุงุฑู‡ู… X
348
+
349
+ 88
350
+ 00:06:41,170 --> 00:06:44,630
351
+ ูˆY ูˆZ ูู‡ุฏูˆู„ ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏูŠู† ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง universes
352
+
353
+ 89
354
+ 00:06:44,630 --> 00:06:48,570
355
+ of discourse ูุถุงุกุงุช ุงู„ุนูŠู†ุฉ ุจุตูุฉ ุนุงู…ุฉ ู‡ุชุณู…ูŠู‡ุง UD
356
+
357
+ 90
358
+ 00:06:48,570 --> 00:06:53,910
359
+ ุนู„ู‰ ุทูˆู„ ู…ุจุงุดุฑุฉ ุงู„ universe of discourseูƒู„ู†ุง ุนุงุฑููŠู†
360
+
361
+ 91
362
+ 00:06:53,910 --> 00:06:58,910
363
+ ุฃู† ู‡ุฐู‡ ุญุงุฌุฉ ู…ู…ูŠุฒุฉ ุฌุฏุง ุฃู† ุฃูƒูˆู† ู…ู† ุงู„ุฃูˆู„ ุนุงุฑู ูˆ ู…ู…ูŠู†
364
+
365
+ 92
366
+ 00:06:58,910 --> 00:07:02,130
367
+ ุงู„ elements ุงู„ู„ูŠ ู…ุณู…ูˆุญ ู„ูŠ ุฃุชุนุงู…ู„ ู…ุนุงู‡ู… ูุทุจูŠุนุฉ ุฌุฏุง
368
+
369
+ 93
370
+ 00:07:02,130 --> 00:07:05,270
371
+ ู…ู‡ู… ุฌุฏุง ููŠ ุงู„ predicate ู…ุฏุงู… ุฃู†ุง ุจุชุนุงู…ู„ ู…ุน
372
+
373
+ 94
374
+ 00:07:05,270 --> 00:07:10,250
375
+ predicate ูˆ predicate propositional function ู†ุญุท
376
+
377
+ 95
378
+ 00:07:10,250 --> 00:07:15,650
379
+ ูƒุฐุง ุฎุท ุชุญุชู‡ุงุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ุจุฏูŠ ุฃุนุฑู ู…ู† ูˆูŠู†ุฃุฎุชุงุฑ ุฃูˆ
380
+
381
+ 96
382
+ 00:07:15,650 --> 00:07:21,470
383
+ ุฃุนู…ู„ ุจู€ X ุงุฎุชูŠุงุฑ ู„ู‚ูŠู…ุฉ X ู‡ุฐู‡ ู…ู† ุฃูŠู† ู†ุฎุชุงุฑู‡ุง ูุงู„ุฌุฏ
384
+
385
+ 97
386
+ 00:07:21,470 --> 00:07:24,550
387
+ ูŠูƒูˆู† ู…ุนุฑู ู„ูŠ ุนู„ู‰ ุงู„ุฃู‚ู„ ูุถุงุก ุงู„ุนูŠู† ุงู„ู„ูŠ ุจุฏูŠ ุฃุดุชุบู„
388
+
389
+ 98
390
+ 00:07:24,550 --> 00:07:28,910
391
+ ููŠู‡ ู‡ูŠ ู…ุด ู…ูุชูˆุญุฉ ู‡ูŠูƒ ุงุฎุชุงุฑ X ู…ู† ุฃูŠ ู…ูƒุงู† ููŠ ุงู„ุฏู†ูŠุง
392
+
393
+ 99
394
+ 00:07:28,910 --> 00:07:33,330
395
+ ู„ุงุฒู… ุฃูƒูˆู† ุนุงุฑู ู…ู† ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุจุฏูŠ ุฃุฎุฏ ู…ู†ู‡ุง
396
+
397
+ 100
398
+ 00:07:33,330 --> 00:07:39,290
399
+ ู‚ูŠู…ุฉ X for example ู„ูˆ ุฃุฎุฏู†ุง ู…ุซู„ุง P of X ู‡ูŠ ุนุจุงุฑุฉ
400
+
401
+ 101
402
+ 00:07:39,290 --> 00:07:44,030
403
+ ุนู† X ุฒุงุฆุฏ ูˆุงุญุฏ ุฃูƒุจุฑ ู…ู† Xู…ุนุงุฏู„ุฉ ุจุณูŠุทุฉ ุฌุฏุง ูˆุณู‡ู„ุฉ ูˆู…ุด
404
+
405
+ 102
406
+ 00:07:44,030 --> 00:07:49,930
407
+ ู…ุดูƒู„ุฉ ู‡ุฐู‡ ุจูƒู„ ูˆุถูˆุญ ุจุงูŠู†ุฉ ุงู† ุงู†ุง ุจุฏูŠ ุงุชุนุงู…ู„ ู…ุน
408
+
409
+ 103
410
+ 00:07:49,930 --> 00:07:53,270
411
+ ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช ุจุตูุฉ ุนุงู…ุฉ ู‡ู‚ูˆู„ ุงู„
412
+
413
+ 104
414
+ 00:07:53,270 --> 00:08:01,470
415
+ natural number ุงู„ุงุฑู‚ุงู… ู…ู† ุตูุฑ to infinity ุงู„ real
416
+
417
+ 105
418
+ 00:08:01,470 --> 00:08:05,730
419
+ numberู…ู† minus infinity to infinity ู…ู† minus
420
+
421
+ 106
422
+ 00:08:05,730 --> 00:08:07,770
423
+ infinity to infinity ูุฅุฐุง ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ู‡ูŠ ุฌุฒุก ุงู„
424
+
425
+ 107
426
+ 00:08:07,770 --> 00:08:10,650
427
+ negative ุจุณ ุงู„ natural number ุงู„ุฃุฑู‚ุงู… ุงู„ุทุจูŠุนูŠุฉ
428
+
429
+ 108
430
+ 00:08:10,650 --> 00:08:14,710
431
+ ุจุชุจุฏุฃ ู…ู† ุงู„ุตูุฑ to infinity ู„ู…ุง ู„ู†ู‡ุงูŠุฉ ูƒูˆูŠุณ ููŠ
432
+
433
+ 109
434
+ 00:08:14,710 --> 00:08:20,290
435
+ ุงู„ุญุฑู ุฏูŠ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ู‡ุฐู‡ ุงุฎุชุฒู„ุช ู„ูŠ ุนุฏุฉ ู…ุนุงุฏู„ุงุช ู‡ูŠ
436
+
437
+ 110
438
+ 00:08:20,290 --> 00:08:24,110
439
+ ุนุจุงุฑุฉ ุนู† ุตูุฑ ูŠุนู†ูŠ ุจุฏุฃุช ุจุงู„ natural number ุตูุฑ ุตูุฑ
440
+
441
+ 111
442
+ 00:08:24,110 --> 00:08:28,050
443
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ andูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ ุงูƒุจุฑ ู…ู†
444
+
445
+ 112
446
+ 00:08:28,050 --> 00:08:31,610
447
+ ูˆุงุญุฏ and ุงุชู†ูŠู† ุฒุงุฆุฏ ูˆุงุญุฏ ุงูƒุจุฑ ู…ู† ุงุชู†ูŠู† and ุชู„ุงุชุฉ
448
+
449
+ 113
450
+ 00:08:31,610 --> 00:08:34,790
451
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุงูƒุจุฑ ู…ู† ุชู„ุงุชุฉ and ุทุจ ู„ู‚ู‰ ุงู…ุชู‰ to
452
+
453
+ 114
454
+ 00:08:34,790 --> 00:08:39,030
455
+ infinity ู‡ู„ ู…ู†ุทู‚ูŠ ุงู†ูŠ ุงูƒุชุจ ู‡ูŠูƒ to infinity ูุนุดุงู†ูƒูŠ
456
+
457
+ 115
458
+ 00:08:39,030 --> 00:08:44,550
459
+ ุจู†ุฎุชุตุฑู‡ุง ููŠ ู…ุนุงุฏู„ุฉ ุจู‡ุฐุง .. ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ุฎู„ุตู†ุงู‡
460
+
461
+ 116
462
+ 00:08:44,550 --> 00:08:48,830
463
+ ุงู„ุงู† ุจุฏู„ ุงู„ู…ู‡ู… ุฌุฏุง ุจุนุฏ ู…ุง ู†ุญุท ุงู„ู…ุนุงุฏู„ุฉ ุงู† ุงุนุฑู ุงู„
464
+
465
+ 117
466
+ 00:08:48,830 --> 00:08:52,930
467
+ universe of discourse ุงูƒูˆู† ุนุงุฑู ุจุงู„ุธุจุท ุงู„ universe
468
+
469
+ 118
470
+ 00:08:52,930 --> 00:08:57,470
471
+ of discourse ู…ู† ุงู„ู‰ ู…ู† ุฌุฏุด ู„ุฌุฏุดู…ู† ุฌุฏูŠุด ู„ุฌุฏูŠุด ููŠ
472
+
473
+ 119
474
+ 00:08:57,470 --> 00:09:02,310
475
+ ู‡ุฐู‡ ุฃู‡ู…ูŠุฉ ุฃู† ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ ูุถุงุก ุนูŠู†ุฉ ูุถุงุก ุงู„ุนูŠู†ุฉ
476
+
477
+ 120
478
+ 00:09:02,310 --> 00:09:06,090
479
+ ุงู„ุขู† ูุถุงุก ุงู„ุนูŠู†ุฉ ู‡ุฐุง ุงู„ู„ูŠ ุฏุนูŠู†ุงู‡ ูƒุฃู†ู‡ ูุถุงุก ุนูŠู†ุฉ
480
+
481
+ 121
482
+ 00:09:06,090 --> 00:09:12,650
483
+ ูˆุงู„ู„ูŠ ู‡ูˆ ูƒู„ ู‚ูŠู… X ุงู„ู…ู…ูƒู†ุฉ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุฃูˆ ุงู„ู…ู…ูƒู†
484
+
485
+ 122
486
+ 00:09:12,650 --> 00:09:17,130
487
+ ุชุทุจูŠู‚ู‡ุง ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู…ุนุงุฏู„ุฉ ู…ูŠู† ุงู„ P of X ุงู„ู„ูŠ ู‡ูŠ ุงู„
488
+
489
+ 123
490
+ 00:09:17,130 --> 00:09:23,110
491
+ predicate ุงู„ predicate okayุงู„ุงู† ุฏุงุฎู„ universe of
492
+
493
+ 124
494
+ 00:09:23,110 --> 00:09:26,090
495
+ discourse ุฏู‡ ูˆุนุดุงู† ู†ุญุฏุฏ ุงู„ universe of discourse
496
+
497
+ 125
498
+ 00:09:26,090 --> 00:09:30,450
499
+ ุจุตูุฉ ุนุงู…ุฉ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงูƒุจุฑ ู…ุฌู…ูˆุนุฉ ู…ู…ูƒู†ุฉ ู…ู†
500
+
501
+ 126
502
+ 00:09:30,450 --> 00:09:33,490
503
+ ุงู„ุงุนุฏุงุฏ ุงู„ู„ูŠ ู‡ูŠ ุงู„ real number ู‡ุฐู‡ ุงูƒุจุฑ ู…ุฌู…ูˆุนุฉ
504
+
505
+ 127
506
+ 00:09:33,490 --> 00:09:37,430
507
+ ู…ู…ูƒู†ุฉ ู…ู† ุงู„ุฃุฑู‚ุงู… ุงูˆ ู…ู† ุงู„ุงุนุฏุงุฏ ู…ู† ุงู„ุฃุฑู‚ุงู… ุงู„ู…ู…ูƒู†ูŠู†
508
+
509
+ 128
510
+ 00:09:37,430 --> 00:09:40,790
511
+ ูุงู„ real number ู…ู† minus infinity to infinity ุจุงู„
512
+
513
+ 129
514
+ 00:09:40,790 --> 00:09:44,950
515
+ fractions ุงู„ู„ูŠ ููŠู‡ู… ู‡ุฐู‡ ุงูƒุจุฑ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู…ุฌู…ูˆุนุงุช
516
+
517
+ 130
518
+ 00:09:44,950 --> 00:09:48,750
519
+ ุงู„ุฑู‚ู…ูŠุฉ ุงู„ู„ูŠ ุจู†ุชุนุงู…ู„ ู…ุนู‡ุง ุงุญูŠุงู†ุง ู…ุญุชุงุฌูŠู†ุฏุงุฎู„ ุงู„
520
+
521
+ 131
522
+ 00:09:48,750 --> 00:09:54,170
523
+ universe of discourse ู†ุนู…ู„ ู…ุญุฏุฏุงุช ูƒูŠู ุฃุนู…ู„ ู…ุญุฏุฏุงุชุŸ
524
+
525
+ 132
526
+ 00:09:54,170 --> 00:09:57,470
527
+ ูŠุนู†ูŠ ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ููŠ ุนู†ุฏูŠ ู„ุฌู†ุฉ ุซู‚ุงููŠุฉ ุจุฏู†ุง ู†ุฎุชุงุฑ
528
+
529
+ 133
530
+ 00:09:57,470 --> 00:10:01,430
531
+ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ class ุชุจุนู†ุง ูŠุดุงุฑูƒ ููŠู‡ุง ุทุจ ู…ูŠู† ู‡ุฏูˆู„ุฉ
532
+
533
+ 134
534
+ 00:10:01,430 --> 00:10:04,850
535
+ ุงู„ู„ูŠ ุจุฏุฃ ุฃุฎุชุงุฑู‡ู…ุŸ ู‡ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ูƒู„ ุทุงู„ุจ ู…ุนุฏู„ ูˆู†ูุชุฑุถ
536
+
537
+ 135
538
+ 00:10:04,850 --> 00:10:10,550
539
+ ููˆุฌ ุงู„ุชุณุนูŠู† ูƒู„ู…ุฉ ููˆุฌ ุงู„ุชุณุนูŠู† ู‡ุฐู‡ ุฃู†ุง ุนู…ู„ุช
540
+
541
+ 136
542
+ 00:10:10,550 --> 00:10:14,880
543
+ quantification ูุฃู†ุง ุฃุตุงุฑ ููŠ ุนู†ุฏูŠ quantifierุงู„ู€
544
+
545
+ 137
546
+ 00:10:14,880 --> 00:10:18,560
547
+ Quantification ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุญุฏูŠุฏ ู…ู† ุงู„ universe
548
+
549
+ 138
550
+ 00:10:18,560 --> 00:10:21,300
551
+ of discourse ู…ุชูู‚ู† ููŠู‡ universe of discourseุŒ ููŠู‡
552
+
553
+ 139
554
+ 00:10:21,300 --> 00:10:24,840
555
+ ูุถุงุก ุนูŠู†ุฉุŒ ุจุณ ุฃู†ุง ุจุฏูŠ ุฃุทุจู‚ ุงู„ู…ุนุงุฏู„ุฉ ุนู„ู‰ ุฌุฒุก ู…ู†ู‡ู…
556
+
557
+ 140
558
+ 00:10:24,840 --> 00:10:30,320
559
+ ุฃูˆ ุนู„ู‰ ูƒู„ู‡ุŒ ุนู„ู‰ ูƒู„ู‡ู…ุŒ ุฃู‚ูˆู„ ุจุฏูŠ ุฃุฏุฎู„ ุนู„ุงู…ุงุชูŠ ุฃุฎุฑ
560
+
561
+ 141
562
+ 00:10:30,320 --> 00:10:35,180
563
+ ุงู„ูุตู„ุŒ ู„ู…ูŠู†ุŸ ู‡ุฐู‡ ู„ู„ูƒู„ุŒ ู…ุงููŠุด ู…ุฌุงู„ุŒ ู„ู„ูƒู„ุŒ ูุญู†ุนุฑู
564
+
565
+ 142
566
+ 00:10:35,180 --> 00:10:39,560
567
+ two quantifiers ู…ุญุฏุฏูŠู† ู„ู„ expressionุŒ ู„ู„
568
+
569
+ 143
570
+ 00:10:39,560 --> 00:10:43,880
571
+ expression ุชุจุนู†ุงุŒ ุงู„ุฃุชู†ูŠู† ู‡ุฏูˆู„ุฉ ู‡ูŠ for allูˆ there
572
+
573
+ 144
574
+ 00:10:43,880 --> 00:10:50,020
575
+ exist ูููŠ ุนู†ุฏูŠ ุงู„ุฃูˆู„ู‰ for all ุจู‡ุฐุง ุงู„ุดูƒู„ ูƒู„ู…ุฉ all
576
+
577
+ 145
578
+ 00:10:50,020 --> 00:10:56,640
579
+ ุจุณ ู‚ู„ุจูŠู† ุญุฑู ุงู„ a there exist ู…ู† exist ุจุณ ุนูƒุณูŠู†
580
+
581
+ 146
582
+ 00:10:56,640 --> 00:11:00,920
583
+ ุญุฑู ุงู„ e ูุจู†ูู‡ู…
584
+
585
+ 147
586
+ 00:11:00,920 --> 00:11:06,560
587
+ ู…ู†ู‡ุง ุฃู† ุงู„ุฃูˆู„ู‰ ู‡ุฐู‡ ุจู†ุณู…ูŠู‡ุง for allูุจู†ุณู…ูŠ universal
588
+
589
+ 148
590
+ 00:11:06,560 --> 00:11:11,360
591
+ quantifier ุงู„ู…ุญุฏุฏ ุงู„ุดู…ูˆู„ูŠ ุฃูˆ ุงู„ุดุงู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุจูŠุดู…ู„
592
+
593
+ 149
594
+ 00:11:11,360 --> 00:11:19,200
595
+ ูƒู„ ูุถุงุก ุงู„ุนูŠู†ุฉ ุฃู†ุง ู‡ุฏุฎู„ ุฏุฑุฌุงุชูŠ ุขุฎุฑ ุงู„ูุตู„ ู„ู…ูŠู†ุŸ ู„ูƒู„
596
+
597
+ 150
598
+ 00:11:19,200 --> 00:11:25,120
599
+ ุงู„ุทู„ุงุจ ูู„ู…ุง ุจุฏูŠ ุฃุฌูŠ ุฃุนุจุฑ ุนู†ู‡ุง ู‡ูƒุชุจ for all x for
600
+
601
+ 151
602
+ 00:11:25,120 --> 00:11:29,400
603
+ all x ุขุฎุฑ ุงู„ูุตู„ ุจุฏูŠ ุฃูƒูˆู† ู„ู‡ู… ุฏุฑุฌุงุช ููŠ ุงู„ู…ุณุงู‚ุจุฏุฃ
604
+
605
+ 152
606
+ 00:11:29,400 --> 00:11:33,460
607
+ ู…ุงุฒุงู„ูˆุง ู…ูˆุฌูˆุฏูŠู† ุถู…ู† ูุถุงุก ุงู„ุนูŠู†ุฉ ุงู„ู„ูŠ ู‡ูˆ database Y
608
+
609
+ 153
610
+ 00:11:33,460 --> 00:11:37,200
611
+ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ุงูˆ university of discourse Y ุชู…ุงู…
612
+
613
+ 154
614
+ 00:11:37,200 --> 00:11:43,740
615
+ ูุจู†ูƒุชุจู‡ุง for all X P of X is true ุงูˆ holds ูุฅุฐู†
616
+
617
+ 155
618
+ 00:11:43,740 --> 00:11:51,340
619
+ ู…ุทุจู‚ุฉ ู„ูƒู„ ู‚ูŠู… X P of X true ู„ุงุญุธุชู‡ ูƒูŠูุŸ ุทูŠุจ ูู‡ุฐู‡
620
+
621
+ 156
622
+ 00:11:51,340 --> 00:11:54,240
623
+ ู…ุนู†ุงู‡ุง ุงู† for all X in the university of discourse
624
+
625
+ 157
626
+ 00:11:54,240 --> 00:12:00,750
627
+ P holds ุงูˆ appliedู‡ูŠ applied ุฎู„ุงุต ู…ุทุจู‚ุฉ ..
628
+
629
+ 158
630
+ 00:12:00,750 --> 00:12:05,110
631
+ ู…ุทุจู‚ู†ุงู‡ุง ุนู„ู‰ ูƒู„ ุงู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† ุฏุงุฎู„ ุงู„
632
+
633
+ 159
634
+ 00:12:05,110 --> 00:12:08,670
635
+ universe .. ุงู„ universe of discourse ุทูŠุจ ุงู„ E ุงู„ู„ูŠ
636
+
637
+ 160
638
+ 00:12:08,670 --> 00:12:13,610
639
+ ู‡ูŠ there exist ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† exists ู…ูˆุฌูˆุฏ ูˆ ุนูƒุณู†ุง
640
+
641
+ 161
642
+ 00:12:13,610 --> 00:12:17,090
643
+ .. ูˆ ู‚ู„ุจู†ุง .. ุนูƒุณู†ุง ู‡ู†ุง ู‚ู„ุจู†ุง ูˆ ู‡ู†ุง ุนูƒุณู†ุง ุญุฑู ุงู„ E
644
+
645
+ 162
646
+ 00:12:17,090 --> 00:12:20,690
647
+ ูุตุงุฑุช ู‡ูŠ ุงู„ notation ุงู„ู„ูŠ ุชุนุจุฑ ุนู† there exist
648
+
649
+ 163
650
+ 00:12:20,690 --> 00:12:27,970
651
+ ูุจู†ู‚ูˆู„ existential quantifier ุงู„ู…ุญุฏุฏ ุงู„ูˆุฌูˆุฏูŠุงู„ู…ุญุฏุฏ
652
+
653
+ 164
654
+ 00:12:27,970 --> 00:12:32,110
655
+ ุงู„ูˆุฌูˆุฏูŠุŒ ุฅูŠุด ู…ุนู†ุงู‡ ุงู„ู…ุญุฏุฏ ุงู„ูˆุฌูˆุฏูŠุŸ ู…ุนู†ุงุชู‡ ูŠูˆุฌุฏ
656
+
657
+ 165
658
+ 00:12:32,110 --> 00:12:39,330
659
+ ุนู†ุตุฑ ุนู„ู‰ ุงู„ุฃู‚ู„ ูŠุญู‚ู‚ ุงู„ู…ุนุงุฏู„ุฉ ู…ู† ุฏุงุฎู„ ุงู„ universe
660
+
661
+ 166
662
+ 00:12:39,330 --> 00:12:43,590
663
+ of discourse ุนู„ู‰ ุงู„ุฃู‚ู„ ูŠูˆุฌุฏ ูˆุงุญุฏ ูŠุญู‚ู‚ ุงู„ู…ุนุงุฏู„ุฉ ุนู„ู‰
664
+
665
+ 167
666
+ 00:12:43,590 --> 00:12:51,770
667
+ ุงู„ุฃู‚ู„ ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ there exist x .. ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ n's
668
+
669
+ 168
670
+ 00:12:51,770 --> 00:12:57,540
671
+ of grade a in this courseุตุญุŸ ุตุญ ู‡ูˆ ู…ุด ูƒู„ูƒูˆุง
672
+
673
+ 169
674
+ 00:12:57,540 --> 00:13:02,060
675
+ ู‡ุชุญุตู„ูˆุง ู„ูˆ ุฃุฎุฐ ูŠุนู†ูŠ ู…ุด ูƒู„ูƒูˆุง ู‡ุชุญุตู„ ุนู„ู‰ ุฅูŠู‡ุŸ ูˆููŠ
676
+
677
+ 170
678
+ 00:13:02,060 --> 00:13:05,980
679
+ ู†ูุณ ุงู„ูˆุฌุฏ ุนู„ู‰ ุงู„ุฃู‚ู„ ููŠ ูˆุงุญุฏ ุจุฏู‡ ูŠุญุตู„ ุนู„ู‰ ุฅูŠู‡ ูุฅุฐุง
680
+
681
+ 171
682
+ 00:13:05,980 --> 00:13:09,940
683
+ ู‡ู†ุง ุจู‚ูˆู„ุด for all ุจู‚ูˆู„ there exist ู…ุนู†ุงู‡ ุฐู„ูƒ there
684
+
685
+ 172
686
+ 00:13:09,940 --> 00:13:14,300
687
+ exist ู…ุด ู…ุนู†ุงู‡ ุฅู†ู‡ ูˆุงุญุฏ ูู‚ุท ูˆุงุญุฏ ุฃูˆ ุฃูƒุซุฑ ุฃู‚ูˆู„ูƒูˆุง
688
+
689
+ 173
690
+ 00:13:14,300 --> 00:13:19,820
691
+ ุฃูˆ ูƒู„ู‡ ุฃูˆ ูƒู„ู‡ ู…ุง ู‡ูŠ there exist ุจุฑุถู‡ ุฃู†ุง ูƒู„ ุงู„ู„ูŠ
692
+
693
+ 174
694
+ 00:13:19,820 --> 00:13:23,900
695
+ ุจูŠู‡ู…ู†ูŠ at least ุทุจ ู…ุง for all ู‡ูŠ at least ุจุฑุถู‡ูƒูˆูŠุณ
696
+
697
+ 175
698
+ 00:13:23,900 --> 00:13:28,480
699
+ ูุฅุฐุง ุชูŠุฌูŠ ุงู„ุชุนุจูŠุฑ ู‡ุฐุง ุฅู†ู‡ ูŠูƒููŠ ูˆุงุญุฏ ุนู„ู‰ ุงู„ุฃู‚ู„
700
+
701
+ 176
702
+ 00:13:28,480 --> 00:13:33,640
703
+ ุญู‚ู‚ู†ุง ุงู„ equation ูู‡ู†ุง there exist x such that P
704
+
705
+ 177
706
+ 00:13:33,640 --> 00:13:38,520
707
+ of X is true ูู‡ู†ุง ุจุชุตูŠุฑ ู…ุนู†ุงู‡ there exists an xa
708
+
709
+ 178
710
+ 00:13:38,520 --> 00:13:43,720
711
+ in universe of discourse such that P of X is true
712
+
713
+ 179
714
+ 00:13:43,720 --> 00:13:49,840
715
+ ูู‡ู†ุง ุจุฏู†ุง ู†ู‚ูˆู„ ุฅูŠุด ูŠุนู†ูŠ there exist ู…ุนู†ุงุชู‡ one or
716
+
717
+ 180
718
+ 00:13:49,840 --> 00:13:55,150
719
+ moreุฃูˆ one at least ุจู…ุนู†ู‰ ุฅู†ู‡ ุญุชู‰ ู„ูˆ ูˆุตู„ุช ุฅู†ู‡ ูƒู„ู‡
720
+
721
+ 181
722
+ 00:13:55,150 --> 00:13:59,130
723
+ ู…ุงุดูŠุฉ ุจุชุจู‚ู‰ ู„ุณู‡ ู…ุง there exists ู…ุงููŠุด ู…ุดูƒู„ุฉ ุชู…ุงู…
724
+
725
+ 182
726
+ 00:13:59,130 --> 00:14:04,570
727
+ ู†ุจุฏุฃ ููŠ ูˆุงุญุฏ ูˆุงุญุฏ ู…ู†ู‡ู… ูˆ ู†ุงุฎุฏ ุฃู…ุซู„ุฉ ุนู„ูŠู‡ู… ู„ูˆ ุฃุฎุฏู†ุง
728
+
729
+ 183
730
+ 00:14:04,570 --> 00:14:10,390
731
+ ู…ุซุงู„ ุงู„ parking spaces at IOG ุฃูˆ IOG ุงู„ู„ูŠ ู‡ูˆ ุงู„
732
+
733
+ 184
734
+ 00:14:10,390 --> 00:14:13,170
735
+ parking spaces ุงู„ู…ูˆุงู‚ู ุฅูŠู‚ุงู ุงู„ุณูŠุงุฑุฉ ุงู„ู„ูŠ ุฃู†ุชูˆุง
736
+
737
+ 185
738
+ 00:14:13,170 --> 00:14:17,430
739
+ ุจุชุดูˆููˆุง ู…ู„ูŠุงู†ุฉ ููŠ ุงู„ุฌุงู…ุนุฉ ูู„ูˆ ุงูุชุฑุถู†ุง ุฅู† ู‡ุฐู‡ ู‡ูŠ
740
+
741
+ 186
742
+ 00:14:17,430 --> 00:14:18,990
743
+ ูุถุงุก ุงู„ุนูŠู†ุฉ ุชุจุนู†ุง
744
+
745
+ 187
746
+ 00:14:21,800 --> 00:14:25,180
747
+ ุฌุงูŠูŠู† ุงู„ุตุจุญ ูˆ ููŠู‡ ุนู†ุฏูŠ ู…ูุฑูˆุถ database ุงู„ database
748
+
749
+ 188
750
+ 00:14:25,180 --> 00:14:29,340
751
+ ู‡ุฐู‡ ุจุชุญุฏุฏ ู„ุฃู…ุงูƒู† ุงู„ู„ูŠ ุฑูƒู†ุช ุงู„ุณูŠุงุฑุงุช ูˆ ุฃู‚ูุช
752
+
753
+ 189
754
+ 00:14:29,340 --> 00:14:34,160
755
+ ุงู„ุณูŠุงุฑุงุช ุงู„ parking ูˆ ุจุฏู†ุง ู†ุนุจุฑ ุนู†ู‡ุง ุจุงู„ for all
756
+
757
+ 190
758
+ 00:14:34,160 --> 00:14:37,360
759
+ ู…ุซู„ุง ูุฏู‡ ู…ู…ูƒู† ุฃู‚ูˆู„ ู„ูˆ ุงูุชุฑุถุช ุฃู†ู‡ ุงู„ universe of
760
+
761
+ 191
762
+ 00:14:37,360 --> 00:14:40,820
763
+ discourse ุชุจุนูŠ ู‡ูŠ ูƒู„ ุงู„ parking spaces ู‡ุฐู‡ ุงู„ูุถุงุก
764
+
765
+ 192
766
+ 00:14:40,820 --> 00:14:44,520
767
+ ุงู„ุนูŠู†ุฉ ุงู„ universe of discourse ููŠ ุงู„ุฌุงู…ุนุฉ ูˆ ุงู„ P
768
+
769
+ 193
770
+ 00:14:44,520 --> 00:14:49,300
771
+ of X ุงู„ู„ูŠ ู‡ูˆ ุงู„ predicate ุชุจุนู†ุง X is fullX is full
772
+
773
+ 194
774
+ 00:14:49,300 --> 00:14:54,520
775
+ ุงู„ุงู† ู„ูˆ ู‚ู„ู†ุง for all X ุจูŠูˆู X ุจูŠูˆู X ุงู„ู„ูŠ ู‡ูŠ ุนูŠุงุด
776
+
777
+ 195
778
+ 00:14:54,520 --> 00:15:02,400
779
+ full ุทูŠุจ for all ู…ุนู†ุงุชู‡ ูƒู„ ุงู„ except ู…ู„ูŠุงู†ุฉ ุทุจ ุงู„
780
+
781
+ 196
782
+ 00:15:02,400 --> 00:15:07,460
783
+ except ู…ูŠู†ุŸ ูƒู„ ุงู„ parking spaces ูŠุนู†ูŠ ูƒุฃู† ุฑูŠุงุถูŠุง
784
+
785
+ 197
786
+ 00:15:07,460 --> 00:15:12,780
787
+ ุงุนุทูŠุช expression ู„ุบูˆูŠ ุงู† ูƒู„ ุงู„ุฃู…ุงูƒู† ุงู„ parking ููŠ
788
+
789
+ 198
790
+ 00:15:12,780 --> 00:15:17,630
791
+ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ู…ู„ูŠุงู†ุฉู‡ูŠ ู…ุนู†ุงู‡ุง ู…ุงุฏุงู… ูƒุชุจุช for
792
+
793
+ 199
794
+ 00:15:17,630 --> 00:15:26,090
795
+ all ูู‡ู†ุง ุฃุตุจุญุช proposition ูุงู„ quantifier ุฅูŠุด ุนู…ู„ุŸ
796
+
797
+ 200
798
+ 00:15:26,090 --> 00:15:31,930
799
+ ุฑุจุท ู„ free variable ุจุฏูˆู†ู‡ ู‡ุฐู‡ not quantifier
800
+
801
+ 201
802
+ 00:15:31,930 --> 00:15:37,710
803
+ ู…ุนู†ุงุชู‡ ุฅู† ู‡ูŠ not proposition ู„ูƒู† ุจู…ุฌุฑุฏ ุฅู†ู‡ ุฑุจุทุชู‡ุง
804
+
805
+ 202
806
+ 00:15:39,310 --> 00:15:45,690
807
+ for all or there exist ู…ุนู†ุงุชู‡ ุฃุตุจุญุช ุงู„ูƒูˆู† ุชููŠุฑ ู„ู„
808
+
809
+ 203
810
+ 00:15:45,690 --> 00:15:50,490
811
+ proposition ุนุดุงู† ูŠูˆุถูŠู†ูŠ ู„ proposition ุชู…ุงู… ูุฃุตุจุญุช
812
+
813
+ 204
814
+ 00:15:50,490 --> 00:15:53,130
815
+ automatically proposition ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฃุตุจุญุช ุงู„ุฌู…ู„ุฉ
816
+
817
+ 205
818
+ 00:15:53,130 --> 00:15:59,170
819
+ ูƒุงู„ุชุงู„ูŠ all parking spaces at iowagaza are full ุทุจ
820
+
821
+ 206
822
+ 00:15:59,170 --> 00:16:05,250
823
+ ู‡ุฐู‡ ุงุนุทุช ู…ุนู†ู‰ ุงุนุทุช ู…ุนู†ู‰ ูˆุงุถุญ ูˆุงุถุญ ุชู…ุงู…ุง ูˆู‡ุฐุง ู…ุนู†ุงู‡
824
+
825
+ 207
826
+ 00:16:05,250 --> 00:16:09,950
827
+ ุงู†ู‡ propositionู…ุฏุงู… ุงุนุทุชู†ูŠ ู…ุนู†ู‰ุŒ ูŠุนู†ูŠ ุฎู„ุงุตุŒ ู…ุนู†ุงู‡ุง
828
+
829
+ 208
830
+ 00:16:09,950 --> 00:16:12,550
831
+ ุชุดูˆูู„ูƒ ู…ูƒุงู† ุฎุงุฑุฌ ุงู„ุฌุงู…ุนุฉุŒ ุฎุงุฑุฌ ุงู„ parking spaces
832
+
833
+ 209
834
+ 00:16:12,550 --> 00:16:16,890
835
+ ุจุชุงุนุฉ ุงู„ุฌุงู…ุนุฉุŒ ู‡ุงูŠ ู…ุนู†ุงู‡ุงุŒ ุชู…ุงู…ุŸ ูƒูˆูŠุณุŒ ู…ู…ูƒู† ุทุจุนุง
836
+
837
+ 210
838
+ 00:16:16,890 --> 00:16:20,690
839
+ ูŠุนุจุฑ ุนู†ู‡ุง ุจูƒุฐุง ุทุฑูŠู‚ุฉุŒ every parking space at IU
840
+
841
+ 211
842
+ 00:16:20,690 --> 00:16:27,070
843
+ Gaza is fullุŒ ูƒู„ ู…ูƒุงู† parking ููŠ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ
844
+
845
+ 212
846
+ 00:16:27,070 --> 00:16:31,890
847
+ ู‡ูˆ ู…ู„ูŠุงู†ุจุฑุถู‡ ู…ุตุทู„ุญ ุงุฎุฑ ู„ูƒู† ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ ุงูู‡ู…ุช
848
+
849
+ 213
850
+ 00:16:31,890 --> 00:16:37,530
851
+ ู…ู†ู‡ ู…ุนู†ู‰ ูุฅุฐุง ู‡ูˆ proposition ุฑุบู… ุงู†ู‡ ุฑุจุทู‡ ุจ for
852
+
853
+ 214
854
+ 00:16:37,530 --> 00:16:42,250
855
+ all ุจุณ ูŠุนู†ูŠ ุงู†ุง ู‚ู„ุช ู„ูƒู„ ุงู„ู‚ูŠู… ู…ุฌุฑุฏ ู‚ู„ุช ู„ูƒู„ ุงู„ู‚ูŠู…
856
+
857
+ 215
858
+ 00:16:42,250 --> 00:16:43,590
859
+ ุฃุตุจุญุช proposition ุฎู„ุต
860
+
861
+ 216
862
+ 00:16:47,050 --> 00:16:52,570
863
+ ุฃูˆ for each parking space at iogaza that space is
864
+
865
+ 217
866
+ 00:16:52,570 --> 00:16:55,810
867
+ full ุงู„ู‚ุตุฏ ุฅู† ููŠ ู„ู‡ุง ู…ุนุงู†ูŠ ูƒุชูŠุฑุฉ ุชุชุนุจุฑ ุนู† ู†ูุณ
868
+
869
+ 218
870
+ 00:16:55,810 --> 00:17:02,270
871
+ ุงู„ู…ุนู†ู‰ ุฃู†ุง ุจู‡ู…ู†ูŠ ุงู„ู…ุนู†ู‰ ุงู„ุฑูŠุงุถูŠ for all x P of X
872
+
873
+ 219
874
+ 00:17:02,270 --> 00:17:06,510
875
+ ุนู„ู‰ ุทูˆู„ ุจุชุนุทูŠ ู…ุนู†ู‰ ุงู„ุดู…ูˆู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ universal
876
+
877
+ 220
878
+ 00:17:06,510 --> 00:17:10,910
879
+ quantification ุทูŠุจ if there exist ุฃูˆ existential
880
+
881
+ 221
882
+ 00:17:10,910 --> 00:17:16,740
883
+ quantifierู„ู†ูุณ ุงู„ู…ุซุงู„ ู„ูˆ ุจุฏู„ ู…ุง ู†ูƒุชุจ for all ูƒุชุจู†ุง
884
+
885
+ 222
886
+ 00:17:16,740 --> 00:17:22,380
887
+ there exist x b of x ุจุฑุถู‡ ุตุงุฑุช ุงู„ proposition ู„ูŠุดุŸ
888
+
889
+ 223
890
+ 00:17:22,380 --> 00:17:25,640
891
+ ู„ุฃู†ู‡ ู‡ุชุนุทูŠ ู…ุนู†ู‰ ุจุฑุถู‡ ู‡ุชุนุทูŠู†ูŠ ู…ุนู†ู‰ ุงู„ู…ุนู†ู‰ ูƒูŠู ุจุฏู‡
892
+
893
+ 224
894
+ 00:17:25,640 --> 00:17:30,940
895
+ ูŠุตูŠุฑุŸ ู‡ุตูŠุฑ ูƒุชุงู„ูŠ some ุจุนุถ some parking space at
896
+
897
+ 225
898
+ 00:17:30,940 --> 00:17:36,280
899
+ iogaza is fullุจุนุถ ุงู„ parking space full ููŠ ุงู„ุฌุงู…ุนุฉ
900
+
901
+ 226
902
+ 00:17:36,280 --> 00:17:40,120
903
+ ุงู„ุฅุณู„ุงู…ูŠุฉ ูˆ ุจุนุถ ุงู„ุงุฎุฑ free ุจุนุถ ุงู„ุงุฎุฑ ููŠู‡ ู…ุนู†ุงุชู‡
904
+
905
+ 227
906
+ 00:17:40,120 --> 00:17:44,180
907
+ ุงู†ู‡ ู„ุฃ ุงุฏุฎู„ ุฏูˆุฑ ุนู„ู‰ ุงู„ free ู‡ุชู„ุงู‚ูŠ free ุฏูˆุฑ ุงู†ุช
908
+
909
+ 228
910
+ 00:17:44,180 --> 00:17:47,660
911
+ ู†ุตูŠุญ ูˆ ู…ู…ูƒู† ุชู„ุงู‚ูŠ free ุทูŠุจ there is a parking
912
+
913
+ 229
914
+ 00:17:47,660 --> 00:17:52,920
915
+ space at iogaza that is full ุงูˆ ู…ู…ูƒู† ู†ู‚ูˆู„ ุงู† ูŠูˆุฌุฏ
916
+
917
+ 230
918
+ 00:17:52,920 --> 00:17:56,860
919
+ ู…ู† ุงู„ parking space ููŠ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ full ูŠูˆุฌุฏ
920
+
921
+ 231
922
+ 00:17:56,860 --> 00:18:03,730
923
+ ู…ุงู‚ูˆู„ุชุด some ู‚ูˆู„ุช ูŠูˆุฌุฏุจุนุถู‡ู… ู…ุญุฌูˆุฒ ู…ุงุดูŠ ูˆ ุงู„ุจุนุถ
924
+
925
+ 232
926
+ 00:18:03,730 --> 00:18:10,810
927
+ ุงู„ุชุงู†ูŠ ุจุนุฑูุด ุงุฏุฎู„ ุจุงู„ุณูŠุงุฑุฉ ูˆ ุฏูˆุฑ ู„ู ุงุนู…ู„ูƒ ู„ูุฉ ุชู…ุงู…
928
+
929
+ 233
930
+ 00:18:10,810 --> 00:18:15,810
931
+ ุงูˆ at least one parking space at iogaza is full
932
+
933
+ 234
934
+ 00:18:15,810 --> 00:18:19,990
935
+ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ูุงู„ู‚ุตุฏ ุงู† ุงู„ exhibitions ูƒุชูŠุฑุฉ ูˆ
936
+
937
+ 235
938
+ 00:18:19,990 --> 00:18:24,870
939
+ ูƒู„ู‡ุง ู…ุนู†ุงู‡ุง ุงู† ุนู„ู‰ ุงู„ุฃู‚ู„ ูŠูˆุฌุฏ ูˆุงุญุฏ ุงูˆ ุจุนุถ ุงู„ space
940
+
941
+ 236
942
+ 00:18:24,870 --> 00:18:30,630
943
+ ุงู„ parking space ู…ู„ูŠุงู†ุฉ ูˆ ุจุนุถู‡ุง ุงู„ุขุฎุฑุจุนุฑูุด ุฎุฏูˆุง
944
+
945
+ 237
946
+ 00:18:30,630 --> 00:18:33,390
947
+ ุจุงู„ูƒ ูˆ ุจุนุฑูุด ู„ูŠุด ู„ุฃู† there exist ู…ู…ูƒู† ุชุดู…ู„ for all
948
+
949
+ 238
950
+ 00:18:33,390 --> 00:18:38,990
951
+ ุงุญู†ุง ู‚ูˆู„ู†ุง at least one ุทุจ ูŠู…ูƒู† ูƒู„ู‡ ู…ุด ู…ู…ูƒู† ูƒู„ู‡
952
+
953
+ 239
954
+ 00:18:38,990 --> 00:18:45,330
955
+ ู…ู…ูƒู† ูƒู„ู‡ ุชู…ุงู… ุงู„ุงู† ุงู„ there exist ูˆ ุงู„ for all
956
+
957
+ 240
958
+ 00:18:45,330 --> 00:18:49,890
959
+ ู‡ุฏูˆู„ุฉ ุนู…ู„ูˆุง ู„ูŠู‡ bound variables ุจู…ุนู†ู‰ ุงู„ู…ุชุบูŠุฑ
960
+
961
+ 241
962
+ 00:18:49,890 --> 00:18:58,770
963
+ ู‚ูŠุฏู†ุงู‡ ู‚ูŠุฏู†ุงู‡ ุงู…ุง ุจุดู…ูˆู„ูŠุฉ ุงูˆ ุจู…ูŠู† ุจ there existุจุงู„
964
+
965
+ 242
966
+ 00:18:58,770 --> 00:19:03,750
967
+ sum ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฏู†ุง ู†ุนุฑู ุดุบู„ุชูŠู† ู‡ู„ ุงู„ variable
968
+
969
+ 243
970
+ 00:19:03,750 --> 00:19:10,150
971
+ free ูˆู„ุง bound variable ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ P of X ุงุญู†ุง
972
+
973
+ 244
974
+ 00:19:10,150 --> 00:19:14,570
975
+ ุจูŠู‚ูˆู„ ุนู†ู‡ุง ู‡ูŠ ู„ุญุงู„ู‡ุง ู‡ูŠูƒ P of X ู‡ูŠ free ู„ุฃู†ู‡ ุงู†ุง
976
+
977
+ 245
978
+ 00:19:14,570 --> 00:19:19,550
979
+ ู‚ูˆู„ุช P of X ูˆ X ู…ุชุบูŠุฑ ูˆู…ุงุญุฏุฏุชุด ุงูŠ ุดูŠุก ูŠุฑุจุท ู„ู„ู…ุชุบูŠุฑ
980
+
981
+ 246
982
+ 00:19:19,550 --> 00:19:24,140
983
+ ู‡ุฐุงู…ุงููŠุด ุฃูŠ ุดูŠุก ุฑูˆุจูˆุช ุงู„ู…ุชุบูŠุฑ ู‡ูˆ X ูˆ ุจุณ ุทุจ ู…ูŠู† X
984
+
985
+ 247
986
+ 00:19:24,140 --> 00:19:26,660
987
+ ู‡ุฐุง ู…ุงู‚ูˆู„ุชู„ูƒุงุด ุทุจ ุงูŠุด ุงู„ universe of discourse
988
+
989
+ 248
990
+ 00:19:26,660 --> 00:19:31,550
991
+ ุชุจุนู‡ ู…ุงู‚ูˆู„ุชู„ูƒุงุด .. ู…ุงู‚ูˆู„ุชู„ูƒุงุด ุญุงุฌุฉู‡ูŠ X ูˆ ุจุณ X ูุฅุฐุง
992
+
993
+ 249
994
+ 00:19:31,550 --> 00:19:36,910
995
+ ู‡ูŠ free variable X ู‡ุฐุง ู…ุนู†ุงู‡ ุฅู† X undefined ุบูŠุฑ
996
+
997
+ 250
998
+ 00:19:36,910 --> 00:19:40,330
999
+ ู…ุนุฑู ูˆู…ุฌุฑุฏ ุบูŠุฑ ู…ุนุฑู ูุจุถู„ ู†ุณู…ูŠู‡ุง predicate
1000
+
1001
+ 251
1002
+ 00:19:40,330 --> 00:19:43,410
1003
+ predicate ูƒู…ุงู† ู…ุฑุฉ ู‡ูŠ ู…ุนู†ุงู‡ุง prepositional
1004
+
1005
+ 252
1006
+ 00:19:43,410 --> 00:19:48,010
1007
+ function ูู‡ูŠ ุฏู„ุช ู…ุง ุฃุฎุฏ ุตูุฉ ุงู„ function ุฅู† ู‡ูŠ ุฏุงู„ุฉ
1008
+
1009
+ 253
1010
+ 00:19:48,010 --> 00:19:53,540
1011
+ ููŠู‡ุง ู…ุชุบูŠุฑ ุชู…ุงู… ุงู„ quantifierseither for all or
1012
+
1013
+ 254
1014
+ 00:19:53,540 --> 00:19:59,100
1015
+ there exist operates ูƒุงุด ู„ู„ expression ุจุญูŠุซ ุงู†ู‡
1016
+
1017
+ 255
1018
+ 00:19:59,100 --> 00:20:08,800
1019
+ one or more free variables bending ุจุชุนู…ู„ู‡ ุชู‚ูŠูŠุฏูููŠ
1020
+
1021
+ 256
1022
+ 00:20:08,800 --> 00:20:11,940
1023
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชู‚ูŠูŠุฏ ู…ู† ุฎู„ุงู„ ุงู„ there
1024
+
1025
+ 257
1026
+ 00:20:11,940 --> 00:20:16,380
1027
+ exist ุงูˆ ุงู„ for all ูˆู‡ุฐู‡ ูˆุธูŠูุชู‡ุง ุงุตู„ุง ุงู†ู‡ ุชุญูˆู„ูŠุง
1028
+
1029
+ 258
1030
+ 00:20:16,380 --> 00:20:23,280
1031
+ ู…ู† free ู„ pound variable ู„ู…ุชุบูŠุฑ ู…ู‚ูŠุฏ ู…ู‚ูŠุฏ ุจุฌุฒุก
1032
+
1033
+ 259
1034
+ 00:20:23,280 --> 00:20:27,440
1035
+ ู…ุนูŠู† ูุงู„ุฌุฒุก ู‡ุฐุง ุจู‚ุฏุฑ ุงุนุจุฑ ุนู†ู‡ ุจ language
1036
+
1037
+ 260
1038
+ 00:20:27,440 --> 00:20:31,540
1039
+ expressionูˆ ุงู„ language expression ุจู†ู‚ุฏุฑ ู†ูู‡ู…ู‡ ูˆ
1040
+
1041
+ 261
1042
+ 00:20:31,540 --> 00:20:34,720
1043
+ ู…ุฏุงู… ูู‡ู…ุชู‡ ุจู‚ุฏุฑ ุฃู‚ูˆู„ three or false ูˆ ู…ุฏุงู… ุงู†ูƒ ุฐูŠ
1044
+
1045
+ 262
1046
+ 00:20:34,720 --> 00:20:38,300
1047
+ ู‚ูˆู„ุช three or false ุฃุตุจุญ preposition ูˆ ู…ุฏุงู…
1048
+
1049
+ 263
1050
+ 00:20:38,300 --> 00:20:43,150
1051
+ preposition ูู‡ูŠ ุฃุตุจุญ bound variableู„ุฃู†ู‡ ุจุทู„ free
1052
+
1053
+ 264
1054
+ 00:20:43,150 --> 00:20:49,210
1055
+ ุจุทู„ undefined ู…ุด ู‡ูŠูƒ ู„ุฃ ู‡ูˆ ุตุงุฑู„ู‡ defined ุฃุตุจุญ
1056
+
1057
+ 265
1058
+ 00:20:49,210 --> 00:20:55,090
1059
+ defined ุฃุตุจุญ defined ุทูŠุจ ู .. ุฃูŠู† ูˆุตู„ู†ุงุŸ okay to
1060
+
1061
+ 266
1062
+ 00:20:55,090 --> 00:20:58,530
1063
+ produce expression have one or more bound variable
1064
+
1065
+ 267
1066
+ 00:20:58,530 --> 00:21:03,290
1067
+ ูู„ุฅู†ุชุงุฌ one ุฃูˆ ุฃูƒุชุฑ ู…ู† ุงู„ variables ุชุตุจุญ bound
1068
+
1069
+ 268
1070
+ 00:21:03,290 --> 00:21:05,370
1071
+ variables ุจู†ุณุชุฎุฏู… ุงู„ quantifiers
1072
+
1073
+ 269
1074
+ 00:21:08,390 --> 00:21:11,470
1075
+ for example ู†ุงุฎุฏ ุจุฃู†ูู„ุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ู„ูˆ ู‚ู„ู†ุง P
1076
+
1077
+ 270
1078
+ 00:21:11,470 --> 00:21:18,990
1079
+ of X and Y ู‡ูŠูƒ ู„ุญุงู„ู‡ุง ููŠู‡ุง ุงุชู†ูŠู† free variables
1080
+
1081
+ 271
1082
+ 00:21:18,990 --> 00:21:22,790
1083
+ share X ูˆ Y ู‡ูˆ ุงู†ุง ู…ุงุญุฏุฏุชู„ูƒู… ู…ุด ู„ุงู‚ุด ู‡ูˆ X ูˆู„ุง
1084
+
1085
+ 272
1086
+ 00:21:22,790 --> 00:21:27,150
1087
+ ุนู†ุฏูƒูˆุง ุงูŠ quantifier ู„ู‡ุง ูˆ ู†ูุณ ุงู„ูƒู„ุงู… Y ู…ุงุญุฏุฏุชุด
1088
+
1089
+ 273
1090
+ 00:21:27,150 --> 00:21:32,030
1091
+ ุนู†ุฏ ุงูŠ quantifiers ู„ู‚ู„ู‡ุง ูุจุชุถู„ free ู…ู…ูƒู† ุชุงุฎุฏ ุงูŠ
1092
+
1093
+ 274
1094
+ 00:21:32,030 --> 00:21:36,900
1095
+ ุดูŠู„ุง ุงู†ุง ุนุงุฑู ู‡ู‰ all ูˆู„ุง ู‡ู‰ there exist ูˆู„ุง ู‡ู‰ ุถู…ู†
1096
+
1097
+ 275
1098
+ 00:21:36,900 --> 00:21:40,460
1099
+ boundary ู…ุญุฏุฏุฉ ูˆู„ุง ุนุงู…ู„ุฉ limitation ูˆู„ุง ุนุงู…ู„ุฉ ุงู‰
1100
+
1101
+ 276
1102
+ 00:21:40,460 --> 00:21:45,580
1103
+ ุญุงุฌุฉ ูู‡ู‰ free ูˆุงู„ุงุชู†ูŠู† ู‡ู†ุง ู‡ูŠูƒูˆู†ูˆุง free ุทูŠุจ for
1104
+
1105
+ 277
1106
+ 00:21:45,580 --> 00:21:52,740
1107
+ all x, p of x and y ุงู‡ ููŠ ุนู†ุฏู‰ two variables ูˆุงุญุฏ
1108
+
1109
+ 278
1110
+ 00:21:52,740 --> 00:21:58,860
1111
+ ู…ู†ู‡ู… free ู…ูŠู† ู‡ูˆุŸY ุฏู„ุช ุงู„ free ูˆ ูˆุงุญุฏ ุฃุตุจุญ one
1112
+
1113
+ 279
1114
+ 00:21:58,860 --> 00:22:04,440
1115
+ bound variable ุงู„ู„ูŠ ู‡ูˆ X X ุฑุจุทู†ุงู‡ุง ูุถู„ุช ุงู„ free Y
1116
+
1117
+ 280
1118
+ 00:22:04,440 --> 00:22:12,060
1119
+ ูˆ ุงู„ bound X ุงู„ู…ุซุงู„ ุงู„ุชุงู„ุช P of X where X equal to
1120
+
1121
+ 281
1122
+ 00:22:12,060 --> 00:22:20,160
1123
+ 3 ู‡ู†ุง ุฃุตุจุญ ุฅูŠุดุŸุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงูˆ another way to bend
1124
+
1125
+ 282
1126
+ 00:22:20,160 --> 00:22:24,620
1127
+ X ู„ุชู‚ูŠูŠุฏ X ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงู† ุงุญุทู„ู‡ ู‚ูŠู…ุฉ ู…ุญุฏุฏุฉ ู…ู†
1128
+
1129
+ 283
1130
+ 00:22:24,620 --> 00:22:29,220
1131
+ ุงู„ุฃูˆู„ ุฑุฃูŠูŠ ุญุฑุตู‡ ุงุญุทู„ู‡ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ูˆ ุฎู„ุงุต ูุฅุฐุง P of
1132
+
1133
+ 284
1134
+ 00:22:29,220 --> 00:22:33,940
1135
+ X ูˆ ุฏูŠ ูŠุจู‚ู‰ ู„ูƒ X ุจุงู„ุณุงูˆูŠุฉ ุชู„ุงุชุฉ ูŠุนู†ูŠ ูƒุฃู†ูŠ ู‚ูˆู„ุช P
1136
+
1137
+ 285
1138
+ 00:22:33,940 --> 00:22:39,120
1139
+ of ุชู„ุงุชุฉP of three ูˆุฎู„ุงุต ูˆุงู†ุชู‡ู‰ ูุฅุฐุง ู‡ู†ุง ุฃุตุจุญุช
1140
+
1141
+ 286
1142
+ 00:22:39,120 --> 00:22:43,100
1143
+ ูˆุงุถุญุฉ ุชู…ุงู…ุง ุงู†ุง ุจุชูƒู„ู… ุนู† proposition ูุงู„
1144
+
1145
+ 287
1146
+ 00:22:43,100 --> 00:22:46,660
1147
+ expression ุชุจุนู†ุง ู‡ู†ุง ุฃุตุจุญ ู…ู† zero free variables
1148
+
1149
+ 288
1150
+ 00:22:46,660 --> 00:22:51,920
1151
+ ูˆู…ุฏุงู… ุฃุตุจุญ ููŠู‡ zero free variables ู…ุนู†ุงุชู‡
1152
+
1153
+ 289
1154
+ 00:22:51,920 --> 00:22:57,800
1155
+ proposition ู…ุงููŠุด ุฃูŠ ู…ุชุบูŠุฑ ู…ุฌู‡ูˆู„ undefined ุงู„ู„ูŠ
1156
+
1157
+ 290
1158
+ 00:22:57,800 --> 00:23:04,300
1159
+ ููˆู‚ ู‡ุฐู‡ ู…ุง ุฒุงู„ุช predicate not proposition ู„ูŠุดุŸ
1160
+
1161
+ 291
1162
+ 00:23:05,490 --> 00:23:10,790
1163
+ ู„ุฃู†ู‡ ู„ุนู†ุฏูŠ ุงู„ุงู† why undefined ู‡ูˆ ู…ุด ู…ุนุฑู ูู…ุง ุฒุงู„ุช
1164
+
1165
+ 292
1166
+ 00:23:10,790 --> 00:23:16,190
1167
+ not propositionุทูŠุจ ู‡ู‰ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ูุฅุฐุง ูƒุงู† ุงู„
1168
+
1169
+ 293
1170
+ 00:23:16,190 --> 00:23:19,450
1171
+ expression ุชุจุนู†ุง ู‡ูˆ zero free variables ูุจู‚ูˆู„ ุนู„ูŠู‡
1172
+
1173
+ 294
1174
+ 00:23:19,450 --> 00:23:23,290
1175
+ bonified proposition ุงูˆ actual proposition
1176
+
1177
+ 295
1178
+ 00:23:23,290 --> 00:23:26,950
1179
+ bonified ุจู…ุนู†ู‰ ุฃุตู„ูŠ ุงูˆ ุบูŠุฑ ุฒุงุฆู ู…ุนู†ุงุชู‡ ุฃุตู„ูŠ ูุนู„ุง
1180
+
1181
+ 296
1182
+ 00:23:26,950 --> 00:23:32,150
1183
+ ู‡ูˆ free variables free variables ู…ุนู†ุงุชู‡ ูƒู„ู‡
1184
+
1185
+ 297
1186
+ 00:23:32,150 --> 00:23:37,250
1187
+ defined ู…ุฏุงู… defined ูŠุนู†ูŠ ุจู‚ุฏุฑ ุงูู‡ู…ู‡ ูˆู…ุฏุงู… ุจู‚ุฏุฑ
1188
+
1189
+ 298
1190
+ 00:23:37,250 --> 00:23:41,090
1191
+ ุงูู‡ู…ู‡ ุจู‚ุฏุฑ ุงู‚ูˆู„ true or false ูŠุนู†ูŠ propositionุชู…ุงู…
1192
+
1193
+ 299
1194
+ 00:23:41,090 --> 00:23:45,510
1195
+ ููƒู„ expressions ุจ one or more free variables ู‡ูŠ
1196
+
1197
+ 300
1198
+ 00:23:45,510 --> 00:23:51,450
1199
+ still predicate ูŠุนู†ูŠ ูƒุฃู†ู‡ propositional function
1200
+
1201
+ 301
1202
+ 00:23:51,450 --> 00:23:56,830
1203
+ ูู‡ูŠ ู…ุง ุฒุงู„ุช ุฏุงู„ุฉ ู…ุนุชู…ุฏุฉ ุนู„ู‰ ู…ุชุบูŠุฑ ู…ุง ุฒุงู„ุช ุญุชู‰ ุงู„ุขู†
1204
+
1205
+ 302
1206
+ 00:23:56,830 --> 00:24:01,250
1207
+ ู‡ูŠ function ู…ุนุชู…ุฏุฉ ุนู„ู‰ ู…ุชุบูŠุฑ ู for all x, p, x and
1208
+
1209
+ 303
1210
+ 00:24:01,250 --> 00:24:06,450
1211
+ y ูู‡ุฐู‡ ู…ุซุงู„ ุงู„ู„ูŠ ู„ู‡ุง ู…ุง ุฒุงู„ ููŠ y free y ู…ุง ุฒุงู„
1212
+
1213
+ 304
1214
+ 00:24:06,450 --> 00:24:09,130
1215
+ free ูุถู„
1216
+
1217
+ 305
1218
+ 00:24:14,190 --> 00:24:21,310
1219
+ ุจุงู„ุธุจุท ู„ุฃ ู‡ูŠูƒู‡ ู…ุด ุงู„ proposition ุงูŠู‡ ุจุชุตูŠุฑ ุงู„
1220
+
1221
+ 306
1222
+ 00:24:21,310 --> 00:24:26,810
1223
+ proposition ู‡ู‰ ู‡ุงู„ุงุญุธ for all x
1224
+
1225
+ 307
1226
+ 00:24:26,810 --> 00:24:34,510
1227
+ ุฃุตุจุญุช ุงู„ proposition ุทูŠุจ there exist x ู„ P of X
1228
+
1229
+ 308
1230
+ 00:24:34,510 --> 00:24:39,390
1231
+ ุฃุตุจุญุช ุงู„ proposition ู„ูŠุดุŸููŠ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุงุญู†ุง ุฎุฏู†ุงู‡
1232
+
1233
+ 309
1234
+ 00:24:39,390 --> 00:24:46,810
1235
+ ูƒู†ุช ุจู‚ูˆู„ P of X ูˆุงู„ P ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ space is full
1236
+
1237
+ 310
1238
+ 00:24:46,810 --> 00:24:50,290
1239
+ ู…ุด ู‡ูŠ ุงู„ parking space is full ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู†ุง
1240
+
1241
+ 311
1242
+ 00:24:50,290 --> 00:24:55,190
1243
+ ู…ุงุนู†ุฏูŠุด ูˆุตู ู„ X ุจุฏูˆู† ุงู„ for all ูุจู‚ุฏุฑ ุงู‚ูˆู„ ุงูŠุด X
1244
+
1245
+ 312
1246
+ 00:24:55,190 --> 00:25:04,230
1247
+ is full ุงู†ุง ู…ู‚ุฏุฑุชุด ุงุญุฏุฏ ุฌุฏุงุด ูƒู„ู‡ ูˆู„ุง ู†ุตู‡ ูˆู„ุง ุฑุจุนู‡
1248
+
1249
+ 313
1250
+ 00:25:04,230 --> 00:25:10,000
1251
+ ู„ูƒู† ู„ู…ุง ุจู‚ูˆู„ for allุฒูุชู„ู‡ุง ุงู„ุฌู…ู„ุฉ ู‡ุฐู‡ ุงู„ for all
1252
+
1253
+ 314
1254
+ 00:25:10,000 --> 00:25:15,420
1255
+ ู…ุทุจู‚ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ x ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชุบูŠุฑ ุงู„ู…ุชุบูŠุฑ ุญุฏุฏุชู‡
1256
+
1257
+ 315
1258
+ 00:25:15,420 --> 00:25:21,320
1259
+ ูุฃุตุจุญ not free ู‡ูˆ bound ุฃุตุจุญ ู„ูŠุดุŸ ู„ุฃู†ูŠ ุญุฏุฏุชู‡ ูˆู‚ู„ุช
1260
+
1261
+ 316
1262
+ 00:25:21,320 --> 00:25:29,150
1263
+ for allSpaces are free .. are full ูู‡ู†ุง ุญุฏุฏุช ุงู† ูƒู„
1264
+
1265
+ 317
1266
+ 00:25:29,150 --> 00:25:33,850
1267
+ ุงู„ parking spaces ู…ู„ูŠุงู†ุฉ ุฎู„ุงุต ุตุงุฑ ู„ู‡ุง ู…ุนู†ู‰ ุบูŠุฑ ู„ู…ุง
1268
+
1269
+ 318
1270
+ 00:25:33,850 --> 00:25:37,070
1271
+ ุงู‚ูˆู„ X is full X is full ุงู†ุช ุญุชู‰ ุงู†ุช ู…ุงูู‡ู…ุชุด ู…ู†ูŠ
1272
+
1273
+ 319
1274
+ 00:25:37,070 --> 00:25:40,050
1275
+ ุงูŠุด ู‡ูŠ ู…ู„ูŠุงู†ุฉ ูˆู„ุง ู…ุด ู…ู„ูŠุงู†ุฉ ูˆ ู…ูŠู† X ู‡ุฐู‡ ู„ูƒู† ู„ู…ุง
1276
+
1277
+ 320
1278
+ 00:25:40,050 --> 00:25:46,870
1279
+ ุงู‚ูˆู„ูƒ for all X ุจูŠุนู†ูŠ ูƒู„ ุงู„ parking spaceare full
1280
+
1281
+ 321
1282
+ 00:25:46,870 --> 00:25:50,050
1283
+ ู‡ุชูู‡ู… ุงู† ู…ุนู†ุงุชู‡ ูƒู„ู‡ุง ู…ู„ูŠุงู†ุฉ ู…ุฏุงู… ุงู†ุช ูˆุตู„ุชูƒ
1284
+
1285
+ 322
1286
+ 00:25:50,050 --> 00:25:56,150
1287
+ ุงู„ู…ุนู„ูˆู…ุฉ ุงูู‡ู…ุชู‡ุง ุนู„ู‰ ุทูˆู„ ุตุงุฑุช preposition ุจุงู„ุถุจุท
1288
+
1289
+ 323
1290
+ 00:25:56,150 --> 00:25:59,470
1291
+ ุจุงู„ุถุจุท ุงู„ complete ุงู„ complete thought ู„ ุงู„ุฌู…ู„ุฉ
1292
+
1293
+ 324
1294
+ 00:25:59,470 --> 00:26:02,750
1295
+ ุงุฐุง ุงู„ expression ุนู†ุฏูƒ ูˆุงู†ุช ุจุชุทู„ุน ุนู„ูŠู‡ ู„ุฌุชู‡ ูˆุงุถุญ
1296
+
1297
+ 325
1298
+ 00:26:02,750 --> 00:26:05,950
1299
+ ุจุงู„ู†ุณุจุงู„ูƒ ุจุชู‚ุฏุฑ ุชู‚ูˆู„ true or false ูู‡ูŠ preposition
1300
+
1301
+ 326
1302
+ 00:26:05,950 --> 00:26:10,450
1303
+ ุงู†ุชู‡ู‰ ููŠู‡ ู…ุชุบูŠุฑ ูˆู…ุด ุนุงุฑู ุงุชุนุฑูู‡ undefined
1304
+
1305
+ 327
1306
+ 00:26:10,450 --> 00:26:14,630
1307
+ ุจุงู„ู†ุณุจุงู„ูƒ ู„ุฃnot proposition ูู‡ูŠ ู†ูุณ ุงู„ููƒุฑุฉ ุชุงูˆู‡
1308
+
1309
+ 328
1310
+ 00:26:14,630 --> 00:26:17,610
1311
+ ู„ู…ุง ูƒู†ุง ู†ุชูƒู„ู… ุจุฏูˆู† ุงู„ quantifiers ุงู‡ ู‡ุงุฏูŠ
1312
+
1313
+ 329
1314
+ 00:26:17,610 --> 00:26:21,810
1315
+ undefined ู„ูƒู† ุจู…ุฌุฑุฏ ู…ุง ุญุทูŠุชู„ุง quantifiers ู„ุฃ ุฃุตุจุญุช
1316
+
1317
+ 330
1318
+ 00:26:21,810 --> 00:26:27,810
1319
+ ู…ุนุฑูุฉ ู‡ู†ุง ุจู‚ูˆู„ there exist ุงูˆ some some parking
1320
+
1321
+ 331
1322
+ 00:26:27,810 --> 00:26:33,230
1323
+ spaces is full ุจุนุถู‡ู… ู…ู„ูŠุงู†ุฉ ุทุจ ู‡ุงูŠ ุงุชุทู†ู‰ ู…ุนู†ู‰ ูˆ
1324
+
1325
+ 332
1326
+ 00:26:33,230 --> 00:26:36,170
1327
+ ุจุชู†ูƒุชุจ ููŠ ุงู„ language ุนุงุฏูŠ ู…ุงููŠุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ
1328
+
1329
+ 333
1330
+ 00:26:36,170 --> 00:26:42,280
1331
+ ุจู†ุชู‚ุจู„ู‡ุง ุทูŠุจ ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏู‰ nestingุงู„
1332
+
1333
+ 334
1334
+ 00:26:42,280 --> 00:26:44,700
1335
+ quantifiers ุฒูŠ ู…ุซู„ุง ููŠ ุงู„ universe of discourse
1336
+
1337
+ 335
1338
+ 00:26:44,700 --> 00:26:47,900
1339
+ ุงูุชุฑุถู†ุง ุงู† ุงู„ universe of discourse ู‡ูˆ ุงู„ people ูˆ
1340
+
1341
+ 336
1342
+ 00:26:47,900 --> 00:26:54,980
1343
+ ุงูุชุฑุถู†ุง ุงู† ุงู„ .. ุงู„ predicate ุชุจุนุชู†ุง ุงู„ ู‡ูŠ likeู‡ูŠ
1344
+
1345
+ 337
1346
+ 00:26:54,980 --> 00:26:58,160
1347
+ ุงู„ function like ูˆู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู† ุงู„ functions ุงู„ู„ูŠ
1348
+
1349
+ 338
1350
+ 00:26:58,160 --> 00:27:02,860
1351
+ ูƒุชูŠุฑ ู‡ู†ุชุนุงู…ู„ ู…ุนู‡ุง ู„ุฃู†ู‡ ุดูˆูŠุฉ .. ุจู†ุณู…ูŠู‡ุง irregular
1352
+
1353
+ 339
1354
+ 00:27:02,860 --> 00:27:08,120
1355
+ ู‡ูŠ ู…ุงู„ู‡ุงุด ู‚ุงู†ูˆู† ู…ุญุฏุฏ ู…ุงู„ู‡ุงุด ุญุงู„ุฉ ู…ุญุฏุฏุฉ ุจู‚ุฏุฑ ุฃุญุทู‡ุง
1356
+
1357
+ 340
1358
+ 00:27:08,120 --> 00:27:11,820
1359
+ ุถู…ู†ู‡ ูุนุดุงู† ู‡ูŠ ูƒุชูŠุฑ ุจู†ุณุชุดู‡ุฏ .. ู‡ู†ุณุชุดู‡ุฏ ููŠู‡ุง ู‡ูŠ ูˆ
1360
+
1361
+ 341
1362
+ 00:27:11,820 --> 00:27:14,620
1363
+ ุจุนุถ ุงู„ functions ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุณุชุนู…ู„ู‡ุง ู„ุฌุฏุงู… ููŠ ุงู„
1364
+
1365
+ 342
1366
+ 00:27:14,620 --> 00:27:20,850
1367
+ relations ูุฎู„ูŠู†ุง ู†ุงุฎุฏุงู„ relation like ุจุญูŠุซ ุงู†ู‡ ุงู„
1368
+
1369
+ 343
1370
+ 00:27:20,850 --> 00:27:27,990
1371
+ predicate L from X to Y ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู† X likes Y X
1372
+
1373
+ 344
1374
+ 00:27:27,990 --> 00:27:33,390
1375
+ likes Y ุทุจ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ูŠูƒ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูŠ
1376
+
1377
+ 345
1378
+ 00:27:33,390 --> 00:27:39,450
1379
+ predicate ูˆู„ุง preposition predicate predicate ุงู†ุง
1380
+
1381
+ 346
1382
+ 00:27:39,450 --> 00:27:43,980
1383
+ ู…ุด ู…ุนุฑูุŒ ู‚ูˆู„ุช ู‡ูŠู‡ุงุŒ ุดูˆู ุงู„ุฌู…ู„ุฉ ูƒูŠู ุทู„ุนุชX likes Y
1384
+
1385
+ 347
1386
+ 00:27:43,980 --> 00:27:48,380
1387
+ ุทุจ ู‡ูˆ ู…ูŠู† X ูˆู…ูŠู† YุŸ ู‡ู„ ู‡ู…ุง ูƒู„ X ู‡ู„ ู‡ู…ุง some of X
1388
+
1389
+ 348
1390
+ 00:27:48,380 --> 00:27:52,160
1391
+ ู‡ู„ ุงู„ Y ุทูŠุจ ุงู„ู„ูŠ ูˆู‚ุน ุนู„ูŠู‡ุง ุงู„ูุนู„ ุงู„ู„ูŠ ู‡ูŠ ุงู„ object
1392
+
1393
+ 349
1394
+ 00:27:52,160 --> 00:27:59,040
1395
+ ุจุงู„ู†ุณุจุงู„ูŠ ู‡ู„ for all ูƒู„ Y ูˆู„ุง ุฌุฒุก ู…ู† YุŸ ู…ููŠุด ุดูŠุก
1396
+
1397
+ 350
1398
+ 00:27:59,040 --> 00:28:01,520
1399
+ ูุฅุฐู† ู‡ูŠ ู…ุง ุฒุงู„ุฉ ุช predicate with two free
1400
+
1401
+ 351
1402
+ 00:28:01,520 --> 00:28:06,580
1403
+ variables ูุฅุฐู† predicate ุทูŠุจ ู„ู…ุง ุฃู‚ูˆู„ there exists
1404
+
1405
+ 352
1406
+ 00:28:06,580 --> 00:28:13,130
1407
+ Y L of X and Y ู‡ุฏู‰ ู…ุนู†ุงู‡ ุฅูŠุด ู„ู…ุง ุฃุฌู‰ ุฃุชุฑุฌู…ู‡ุงthere
1408
+
1409
+ 353
1410
+ 00:28:13,130 --> 00:28:21,890
1411
+ is someone hi someone ูƒูˆูŠุณ ู‡ู… x likes ููŠูˆุฌุฏ ุจุนุถ
1412
+
1413
+ 354
1414
+ 00:28:21,890 --> 00:28:28,670
1415
+ ุงู„ูˆุงูŠุงุช ุงู„ู„ูŠ ู‡ูŠ ุจุนุถ ุงู„ู†ุงุณ x ุจูุถู„ู‡ู… ุจุณ ุถุงู„ุช ุงู„ุฌู…ู„ุฉ
1416
+
1417
+ 355
1418
+ 00:28:28,670 --> 00:28:33,610
1419
+ ุบุงู…ุถุฉ ู„ุฅู† x ู…ุงุนุฑูุชุด at least one ูƒูˆูŠุณ at least one
1420
+
1421
+ 356
1422
+ 00:28:33,610 --> 00:28:38,610
1423
+ ุจุณ ุงู†ุง x ู…ุงุนุฑูุชุด ูŠุนู†ูŠ ูƒุฃู†ูŠ ุจู‚ูˆู„ ููŠ ุจุนุถ ุงู„ู†ุงุณ x
1424
+
1425
+ 357
1426
+ 00:28:38,610 --> 00:28:44,140
1427
+ ุจูุถู„ู‡ู… ุทุจ ุงุณุชู†ู‰ ู‡ูˆ ู…ูŠู† xุŸู…ุงุนุฑูู„ูŠุด ุฅูŠุงู‡ ูุงู†ุง ู…ุนู†ุงุชู‡
1428
+
1429
+ 358
1430
+ 00:28:44,140 --> 00:28:48,340
1431
+ ู…ุงูู‡ู…ุชุด ู„ุณู‡ ู‡ูˆ ู…ูŠู† ุงู„ู„ูŠ ุจูุถู„ ู…ูŠู† ู‡ูˆ ู…ูŠู† ุงู„ู„ูŠ ุจูุถู„
1432
+
1433
+ 359
1434
+ 00:28:48,340 --> 00:28:54,300
1435
+ ู…ูŠู† ู…ุงุนุฑูุชุด ูุฅุฐุง ู…ุงุฒุงู„ุช ุญุชู‰ ุงู„ุขู† free ู„ู„ X bound
1436
+
1437
+ 360
1438
+ 00:28:54,300 --> 00:28:58,760
1439
+ ู„ู„ Y ูˆููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู…ุงุฒุงู„ุช predicate ู„ุงุญุธ ุชุนุฑูŠูู†ุง
1440
+
1441
+ 361
1442
+ 00:28:58,760 --> 00:29:01,580
1443
+ ุญุชู‰ ู„ุฃู† ู‡ู†ุง ุนุฑูุช predicate ู‡ู†ุง ุนุฑูุช predicate ุทูŠุจ
1444
+
1445
+ 362
1446
+ 00:29:01,580 --> 00:29:09,710
1447
+ ู„ู…ุง ู†ู‚ูˆู„ for all Xthere exist y, l of x and y ูู‡ู†ุง
1448
+
1449
+ 363
1450
+ 00:29:09,710 --> 00:29:13,890
1451
+ ุนู„ู‰ ุทูˆู„ for all ู…ุนู†ุงุชู‡ everyone everyone has
1452
+
1453
+ 364
1454
+ 00:29:13,890 --> 00:29:20,270
1455
+ someone whom they like okay ุฌู…ู„ุฉ ูƒุงู…ู„ุฉ ูˆ ู…ุงููŠุด
1456
+
1457
+ 365
1458
+ 00:29:20,270 --> 00:29:25,690
1459
+ ููŠู‡ุง ุฃูŠ ู…ุชุบูŠุฑ ู…ุงููŠุด ุฃูŠ ู…ุชุบูŠุฑ ู…ูˆุฌูˆุฏ ููŠู‡ุง ูˆ ู‚ุฏ ุชูƒุชุจ
1460
+
1461
+ 366
1462
+ 00:29:25,690 --> 00:29:31,340
1463
+ ููŠ ุฃูŠ ูƒุชุงุจ ูˆ ุงู†ุช ู…ุงุดูŠ ู‚ุฏ ุชูƒุชุจ ูƒุญูƒู…ุฉ ุญุชู‰ู‡ุชู„ุงู‚ูŠู‡ุง
1464
+
1465
+ 367
1466
+ 00:29:31,340 --> 00:29:35,660
1467
+ boss ุชู†ุฒู„ ุนู„ู‰ ุงู„ face ู‡ุชู„ุงู‚ูŠู‡ุง ู…ุชู‚ุจู„ุฉ ูƒุฌู…ู„ุฉ ู‡ูŠูƒ
1468
+
1469
+ 368
1470
+ 00:29:35,660 --> 00:29:39,840
1471
+ ู…ูƒุชูˆุจุฉ ุงู‡ ุจุชุชู‚ุจู„ู‡ุง ูˆ ุจุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุจุดูƒู„ ุนุงุฏูŠ ุฌุฏุง ูˆ
1472
+
1473
+ 369
1474
+ 00:29:39,840 --> 00:29:44,200
1475
+ ู…ุงุถู„ุด ููŠู‡ุง free ูู‡ู„ ู…ุงุฌุฏ ุงูŠุด ุจุฏูŠ ุงูƒุชุจ ู‡ู†ุง ุงูƒุชุจ
1476
+
1477
+ 370
1478
+ 00:29:44,200 --> 00:29:47,060
1479
+ predicate .. predicate ุฒูŠ ู‡ุฏูˆู„ุฉ ู„ุฃ ู‡ูƒุชุจ
1480
+
1481
+ 371
1482
+ 00:29:47,060 --> 00:29:51,880
1483
+ proposition with a free variable zero ุทุจุนุง ู„ุงุฒู…
1484
+
1485
+ 372
1486
+ 00:29:51,880 --> 00:29:55,800
1487
+ ูŠุทู„ุน zero ู‡ู†ุงูุงู„ุงู† ุงุฎุชู„ู ุชุนุฑูŠูู†ุง ุจู‚ู„ุช brigade
1488
+
1489
+ 373
1490
+ 00:29:55,800 --> 00:29:57,800
1491
+ brigade ุฒูŠ ู…ุง ูƒู†ุง ูƒุงุชุจูŠู†ู‡ ููŠ ุงู„ุญุงู„ุชูŠู† ุงู„ุฃูˆู„ุงู†ูŠุฉ
1492
+
1493
+ 374
1494
+ 00:29:57,800 --> 00:30:03,040
1495
+ with zero ุทูŠุจ ู…ุซุงู„ ู†ุงุฎุฏ ู…ุซุงู„ ูˆ ู†ุดูˆู ูˆูŠู† ุจุฏู†ุง ู†ุฑูˆุญ
1496
+
1497
+ 375
1498
+ 00:30:03,040 --> 00:30:08,020
1499
+ ููŠ ู…ุซุงู„ ุทุจุนู†ุง ู‡ุงูŠ ููŠ ุนู†ุฏู‡ realize ุจุฑุถู‡ ู…ู† ุงู„ุฃูุนุงู„
1500
+
1501
+ 376
1502
+ 00:30:08,020 --> 00:30:11,600
1503
+ ุงูˆ ู…ู† ุงู„ู„ูŠ ู„ุง ุจุฏูŠุด ุงู‚ูˆู„ ุฃูุนุงู„ ุฃูุนุงู„ู‡ุง ุฏูŠ ู„ู…ุง ุงุชูƒู„ู…
1504
+
1505
+ 377
1506
+ 00:30:11,600 --> 00:30:14,340
1507
+ ููŠ ุงู„ language ุงู„ู„ูŠ ุจู†ุชูƒู„ู… ุฑูŠุงุถูŠุงุช ุจุฏูŠ ุงู‚ูˆู„
1508
+
1509
+ 378
1510
+ 00:30:14,340 --> 00:30:17,480
1511
+ relation ุจุฏู†ุง ู†ุณู…ูŠู‡ุง ุงู„ุงู† relation ูˆุงุญุฏุฉ ู…ู† ุงู„
1512
+
1513
+ 379
1514
+ 00:30:17,480 --> 00:30:20,840
1515
+ relations ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ math ูˆ ุงุญู†ุง ู…ุงุดูŠูŠู†
1516
+
1517
+ 380
1518
+ 00:30:21,230 --> 00:30:28,250
1519
+ ุฅุฐุง ู‚ู„ุช R of X and Y ู‡ูŠ ุนุจุงุฑุฉ ุนู† X relies upon Y
1520
+
1521
+ 381
1522
+ 00:30:28,250 --> 00:30:33,130
1523
+ ุจู…ุนู†ู‰ ุฅู† X ูŠุนุชู…ุฏ ุนู„ู‰ Y ุงู„ุงุนุชู…ุงุฏูŠุฉ ุฃูˆ ุงู„ุงุชูƒุงู„ูŠุฉ
1524
+
1525
+ 382
1526
+ 00:30:33,130 --> 00:30:37,150
1527
+ ุฎู„ู‘ูŠู†ูŠ ุฃุณู…ูŠู‡ุง ุจุดูƒู„ู‡ุง ุงู„ุณู„ุจูŠ ู…ุซู„ุง ูู‡ุฐู‡ express
1528
+
1529
+ 383
1530
+ 00:30:37,150 --> 00:30:42,010
1531
+ ุงู„ู…ุทู„ูˆุจ ุฃู† ู†ุนู…ู„ express the following of a N ุนู†
1532
+
1533
+ 384
1534
+ 00:30:42,010 --> 00:30:47,720
1535
+ ุจูŠุฌูŠูˆุช Englishูุฅุฐุง ุจุฏู†ุง ู†ุนุฑูู‡ู… ู…ุฌู…ูˆุนุฉ ุงู„ุฌู…ู„ุฉ ุงู„ู„ูŠ
1536
+
1537
+ 385
1538
+ 00:30:47,720 --> 00:30:54,120
1539
+ ุฌูŠุงู†ุง ู‡ุฐู‡ ุงู„ following ุงู„ following formula in
1540
+
1541
+ 386
1542
+ 00:30:54,120 --> 00:30:56,840
1543
+ ambiguous ุจู…ุนู†ู‰ ambiguous ู„ุญุงู„ู‡ ุบุงู…ุถ ู in
1544
+
1545
+ 387
1546
+ 00:30:56,840 --> 00:31:02,240
1547
+ ambiguous ุจุดูƒู„ ูˆุงุถุญ ูุจุดูƒู„ ูˆุงุถุญ ูƒู„ุบุฉ ุฅู†ุฌู„ูŠุฒูŠุฉ ุงู„ุขู†
1548
+
1549
+ 388
1550
+ 00:31:02,240 --> 00:31:10,260
1551
+ for all x there exist y ู„r x and y ููŠ ุงู„ุจุฏุงูŠุฉ for
1552
+
1553
+ 389
1554
+ 00:31:10,260 --> 00:31:14,850
1555
+ all ุฏุงูŠู…ุง ุจู†ุนุจุฑ ุนู†ู‡ุง everyoneeveryone ูุฅุฐุง
1556
+
1557
+ 390
1558
+ 00:31:14,850 --> 00:31:21,070
1559
+ everyone relies upon someone ุงู„ุดูŠุฎ ู‡ุง there exist
1560
+
1561
+ 391
1562
+ 00:31:21,070 --> 00:31:31,150
1563
+ ู„ู„ู‡ everyone ูˆ has someone to rely on ุฃูˆ ู…ู…ูƒู† ุชู‚ูˆู„
1564
+
1565
+ 392
1566
+ 00:31:31,150 --> 00:31:37,670
1567
+ everyone relies upon someone ูƒู„ ูˆุงุญุฏ ุจูŠุนุชู…ุฏ ุนู„ู‰
1568
+
1569
+ 393
1570
+ 00:31:37,670 --> 00:31:42,080
1571
+ ุญุฏุง ููŠ ู‡ุฐุง ุงู„ุฏู†ูŠุงูƒู„ ูˆุงุญุฏ ู…ุงููŠุด ุญุฏุง ุฒู‰ ู…ุง ุจูŠู‚ูˆู„ูˆุง
1572
+
1573
+ 394
1574
+ 00:31:42,080 --> 00:31:45,900
1575
+ ุจูŠุนุชู…ุฏุด ุนู„ู‰ ุญุฏ ู‡ุงูŠ ู…ุนู†ุงู‡ุง .. ู‡ุงูŠ ู…ุนู†ุงู‡ุง ุงู† ูƒู„ ูˆุงุญุฏ
1576
+
1577
+ 395
1578
+ 00:31:45,900 --> 00:31:49,800
1579
+ ู‡ูˆ ุจูŠุนุชู…ุฏ .. ููŠ ุญุฏุง ุญูˆุงู„ูŠู‡ ู‚ุฏ ูŠูƒูˆู† ูˆุงุญุฏ ุงูˆ ุงุชู†ูŠู†
1580
+
1581
+ 396
1582
+ 00:31:49,800 --> 00:31:53,140
1583
+ ุงูˆ ุจูŠุนุชู…ุฏ ุนู„ู‰ ูƒู„ ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ ุงู„ู…ู‡ู… ุงู†ู‡ someone
1584
+
1585
+ 397
1586
+ 00:31:53,140 --> 00:31:56,960
1587
+ okay ุงู„ุชุงู†ูŠุฉ .. ุงู„ุชุงู†ูŠุฉ ู„ุงุญุธูˆุง ุงูŠุด ุงู„ู„ูŠ ู‚ู…ู„ู†ุงู‡ุง
1588
+
1589
+ 398
1590
+ 00:31:56,960 --> 00:32:03,240
1591
+ ุนูƒุณู†ุงู‡ุง ุจุณ ุงู„ู…ูุฑูˆุถ ุจูŠู‡ ู‡ู†ุจุฏุฃ ููŠู‡ ููŠ ุงู„ุฃูˆู„ ุงู„ู…ูุฑูˆุถ
1592
+
1593
+ 399
1594
+ 00:32:03,240 --> 00:32:06,180
1595
+ ุจูŠู‡ ู‡ู†ุจุฏุฃ ููŠู‡ ููŠ ุงู„ุฃูˆู„ ูุงู„ุฌู…ู„ุฉ ุฃุตุจุญุช indirect
1596
+
1597
+ 400
1598
+ 00:32:07,340 --> 00:32:12,280
1599
+ ู‡ู†ุชุนุงู…ู„ ู…ุนู‡ุง ูƒู…ูุนูˆู„ ุจู‡ ููŠ ุงู„ุจุฏุงูŠุฉ ูู‡ู†ุจุฏุฃ ุจุงู„ there
1600
+
1601
+ 401
1602
+ 00:32:12,280 --> 00:32:16,400
1603
+ exist ูู‡ูŠ ุจุฏุฃู†ุง ุจุงู„ there exist there is someone
1604
+
1605
+ 402
1606
+ 00:32:16,400 --> 00:32:19,520
1607
+ ูŠูˆุฌุฏ
1608
+
1609
+ 403
1610
+ 00:32:19,520 --> 00:32:27,340
1611
+ ุงู„ุจุนุถ ุงู„ู„ูŠ ุงู„ูƒู„ ุจูŠุนุชู…ุฏ on ุจู…ุง ููŠู‡ู… ู‡ู… ู†ูุณู‡ู… ุจู…ุง
1612
+
1613
+ 404
1614
+ 00:32:27,340 --> 00:32:31,620
1615
+ ููŠู‡ู… ุงู† ู‡ู… ู†ูุณู‡ู… ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ู†ูุณู‡ู… ูƒู…ุงู† ูุฅุฐุง ูŠูˆุฌุฏ
1616
+
1617
+ 405
1618
+ 00:32:31,620 --> 00:32:36,560
1619
+ ุจุนุถ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ุงู„ูƒู„ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ู…ูŠูˆุฌุฏ ุจุนุถ ุงู„ุฃุดุฎุงุต
1620
+
1621
+ 406
1622
+ 00:32:36,560 --> 00:32:42,680
1623
+ ุงู„ูƒู„ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ู… ุงู„ุชุงู„ุชุฉ ุนูƒุณู†ุง ุงู„ุขู† ุงู„
1624
+
1625
+ 407
1626
+ 00:32:42,680 --> 00:32:48,680
1627
+ quantifiers ู„ู„ู…ุชุบูŠุฑุงุช ู„ู„ variables ุชุนูˆู…ู†ุง ู there
1628
+
1629
+ 408
1630
+ 00:32:48,680 --> 00:32:53,460
1631
+ exist ุฃุฎุฏู†ุงู‡ุง ู„ู„ X ูˆุงู„ for all ุฃุฎุฏู†ุงู‡ุง ู„ู„ Y ู„ุญุธุฉ
1632
+
1633
+ 409
1634
+ 00:32:53,460 --> 00:32:55,320
1635
+ ุงู„ูƒุจูŠุฑุฉ ุงู„ู„ูŠ ุจุชูŠุฌูŠ ููŠ ุงู„ุฃูˆู„ ู‡ูŠ ุงู„ู„ูŠ ุงุจุฏุง ููŠู‡ุง
1636
+
1637
+ 410
1638
+ 00:32:55,320 --> 00:32:59,820
1639
+ ุฌู…ู„ุชูƒ ุจุชุจุฏุฃู‡ุง ููŠู‡ุง ู someone ุนู„ู‰ ุทูˆู„ ู‡ุชุจุฏุฃ ุฃูƒูŠุฏ
1640
+
1641
+ 411
1642
+ 00:32:59,820 --> 00:33:07,750
1643
+ ู‡ู†ุง ุจูŠุจู‚ุงุด someone realize uponeverybody ู…ุฏุงู… ุงู„
1644
+
1645
+ 412
1646
+ 00:33:07,750 --> 00:33:10,610
1647
+ for all ู‡ุฏุง ุจุชูŠุฌูŠ ู„ู„ู…ูุนูˆู„ ุจู‡ ูุจู†ู‚ูˆู„ุด everyone
1648
+
1649
+ 413
1650
+ 00:33:10,610 --> 00:33:16,910
1651
+ ุจู†ุณู…ูŠู‡ุง everybody ุทุจุนุง okay ุตุงุฑุช rely on ุฃูˆ open
1652
+
1653
+ 414
1654
+ 00:33:16,910 --> 00:33:22,190
1655
+ everybody ูŠุนู†ูŠ ูƒุฃู†ู‡ ูŠูˆุฌุฏ ุจุนุถ ุงู„ุฃุดุฎุงุต ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰
1656
+
1657
+ 415
1658
+ 00:33:22,190 --> 00:33:25,990
1659
+ ูƒู„ ุงู„ู„ูŠ ุญูˆุงู„ู‡ู… ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ูƒู„ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุญูˆุงู„ู‡ู…
1660
+
1661
+ 416
1662
+ 00:33:25,990 --> 00:33:32,190
1663
+ ูู‡ู†ุง ู‡ูƒุชูˆุจู‡ุง ูƒุชุงู„ุฉ there is someone ุณูŠุจูƒ ู…ู† ู‡ุฏูˆู„ุฉ
1664
+
1665
+ 417
1666
+ 00:33:33,690 --> 00:33:38,230
1667
+ ู‡ุฐู‡ ู…ุฌุฑุฏ ุฌู…ู„ุฉ ูˆุตููŠุฉ ู„ู„ู†ุงุณ ู‡ุฏูˆู„ุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ุฃูŠ ุญุฏ
1668
+
1669
+ 418
1670
+ 00:33:38,230 --> 00:33:42,520
1671
+ ูŠูˆุตูู‡ุง ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉู‡ู†ุง ุงู„ูƒุชุงุจ ูˆุฌุฏ ุงู† ุงู„ู†ุงุณ ุงู„ู„ูŠ
1672
+
1673
+ 419
1674
+ 00:33:42,520 --> 00:33:46,160
1675
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ู… ูˆู…ุฑุงูŠุญูŠู†
1676
+
1677
+ 420
1678
+ 00:33:46,160 --> 00:33:47,960
1679
+ ูˆู…ูƒุจุฑูŠู† ุฏู…ุงุบู‡ู… ูˆู…ู‚ุนุฏูŠู† ุจุณ ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ุงู„ู„ูŠ
1680
+
1681
+ 421
1682
+ 00:33:47,960 --> 00:33:52,320
1683
+ ุญูˆุงู„ูŠู‡ู… ู‡ูˆ ู†eedy person ู‡ูˆ ู†ุงุณ ู…ุญุชุงุฌูŠู† ุงูˆ ุดุฎุต
1684
+
1685
+ 422
1686
+ 00:33:52,320 --> 00:33:56,080
1687
+ ู…ุญุชุงุฌ ู there is someone ู…ู…ูƒู† ุงุญู†ุง ู†ู‚ูˆู„ู‡ ุฎู„ุงุต ุนุดุงู†
1688
+
1689
+ 423
1690
+ 00:33:56,080 --> 00:33:59,440
1691
+ ุชุฎุชุตุฑู‡ุง ู…ุงุจุชู†ุงุด ู†ู‚ุนุฏ ู†ุญูุธ ู…ุตุทู„ุญุงุช ู…ู…ูƒู† ู†ู‚ูˆู„ someon
1692
+
1693
+ 424
1694
+ 00:33:59,440 --> 00:34:06,680
1695
+ ุฎู„ุงุต ูˆ ุชุฑูŠุญ ุฑุงุณูƒ ู‡ูˆ realize upon everybody ูˆุงุถุญ
1696
+
1697
+ 425
1698
+ 00:34:06,680 --> 00:34:10,990
1699
+ ูˆ ุฎุงู„ุต ุฌุงู‡ุฒ ู‡ูŠูŠูˆุฌุฏ ุจุนุถ ุงู„ุฃุดุฎุงุต ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ูƒู„
1700
+
1701
+ 426
1702
+ 00:34:10,990 --> 00:34:15,370
1703
+ ุงู„ุฏู†ูŠุง ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ู… ุนู„ู‰ ูƒู„ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ู… okay
1704
+
1705
+ 427
1706
+ 00:34:15,370 --> 00:34:22,890
1707
+ ุงุฎุฑู‚ูˆู‡ุง ุจุฑุงุญุชูƒู… ุทูŠุจ ู†ุงูƒุณู‡ู… ู†ุงูƒุณู‡ู… ุตุงุฑุช ูุคุงู„ why
1708
+
1709
+ 428
1710
+ 00:34:22,890 --> 00:34:29,010
1711
+ ูุฅุฐุง everyone ู‡ุชุจุฏุฃ ู‡ู†ุง ุจ everyone ูุฅุฐุง ูŠูˆุฌุฏ
1712
+
1713
+ 429
1714
+ 00:34:29,010 --> 00:34:34,270
1715
+ everyone ุจุนุถ ุงู„ู†ุงุณ ูŠุนุชู…ุฏ ุนู„ูŠู‡ู…ูุฅุฐุง ูƒู„ ุงู„ู†ุงุณ ู‡ุง
1716
+
1717
+ 430
1718
+ 00:34:34,270 --> 00:34:38,790
1719
+ ู„ุงุญุธ ุฅูŠุด ู…ุนู†ุงู‡ุง ูŠุนุชู…ุฏ ุนู„ูŠู‡ู… ู„ุฅู† ุงู„ for all ุฅุฌุช ู„ู„
1720
+
1721
+ 431
1722
+ 00:34:38,790 --> 00:34:43,290
1723
+ why ู„ู„ object ู…ุด ู„ู„ subject ู„ู„ object ู…ุนู†ุงุชู‡ ูƒู„ู‡ู…
1724
+
1725
+ 432
1726
+ 00:34:43,290 --> 00:34:50,310
1727
+ ูŠุนุชู…ุฏ ุนู„ูŠู‡ู… ู…ู† ุจุนุถ ุงู„ู†ุงุณ ุตุญุŸ ุงู„ุขู† ู…ุฏุงู† ูู‡ู…ุช ุงู„ู…ุนู†ู‰
1728
+
1729
+ 433
1730
+ 00:34:50,310 --> 00:34:55,470
1731
+ ุฃูƒุชุจู‡ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุจุชุนุฌุจูƒ ุจุณ ูู‡ู…ู†ุง ุงู„ู…ุนู†ู‰for all
1732
+
1733
+ 434
1734
+ 00:34:55,470 --> 00:34:59,910
1735
+ why ู‡ุฐุง ุงู„ู…ูุนูˆู„ ุจู‡ ู‡ุฐุง ุงู„ object ู‡ุฐุง ุงู„ object
1736
+
1737
+ 435
1738
+ 00:34:59,910 --> 00:35:05,510
1739
+ ูุฅุฐุง for all ุงูˆ
1740
+
1741
+ 436
1742
+ 00:35:05,510 --> 00:35:12,610
1743
+ ุงู‡ everyone everyone ุงู„ู…ูุนูˆู„ ุจู‡ ูŠุนุชู…ุฏ ุนู„ูŠู‡ู… ู…ู†
1744
+
1745
+ 437
1746
+ 00:35:12,610 --> 00:35:16,470
1747
+ someone ุชู… ุงูƒุชุจู‡ุง ุนุงุฏ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุจุชุงุนุชุจูƒ
1748
+
1749
+ 438
1750
+ 00:35:16,470 --> 00:35:23,600
1751
+ everyone has someone who realize uponุตุญูŠุญุŸ ูุฅุฐุง ูƒู„
1752
+
1753
+ 439
1754
+ 00:35:23,600 --> 00:35:27,720
1755
+ ูˆุงุญุฏ ูŠูˆุฌุฏ ุจุนุถ ุงู„ู†ุงุณ ูŠุนุชู…ุฏ ุนู„ูŠู‡ู…ุŒ ูŠุนุชู…ุฏูˆุง ุนู„ูŠู‡ุŒ
1756
+
1757
+ 440
1758
+ 00:35:27,720 --> 00:35:31,800
1759
+ ุจูŠุนุชู…ุฏูˆุง ุนู„ูŠู‡ ููŠ ุงู„ุขุฎุฑ ุงู„ุฃุฎูŠุฑุฉ ูˆุงุถุญุฉ for all for
1760
+
1761
+ 441
1762
+ 00:35:31,800 --> 00:35:36,810
1763
+ all ูŠุนู†ูŠ ู‡ุฐู‡ ุฃุณู‡ู„ ุงู„ุดูŠุกุŒ ุดูƒ everyonerealize upon
1764
+
1765
+ 442
1766
+ 00:35:36,810 --> 00:35:40,510
1767
+ everybody everyone ูˆ everybody ุฎู„ุงุต ุงู„ุงุชู†ูŠู† ูƒู„ู‡ู…
1768
+
1769
+ 443
1770
+ 00:35:40,510 --> 00:35:44,990
1771
+ ู…ุน ุจุนุถ ูุจุณูŠุทุฉ ุณู‡ู„ุฉ ู…ุด ููŠู‡ุง ูƒุชูŠุฑ ุชุนู‚ูŠุฏ ุจู…ุง ููŠู‡ู…
1772
+
1773
+ 444
1774
+ 00:35:44,990 --> 00:35:48,210
1775
+ ุทุจุนุง ุฃู†ูุณู‡ู… ูŠุนู†ูŠ ุจุฑุถู‡ ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ุฃู†ูุณู‡ู…
1776
+
1777
+ 445
1778
+ 00:35:48,210 --> 00:35:52,330
1779
+ ุจุงุนุชุจุงุฑู‡ู… ุฃุตู„ุง ูƒุฃู†ูุณู‡ู… ู‡ู… ุฌุฒุก ู…ู† ุงู„ universe of
1780
+
1781
+ 446
1782
+ 00:35:52,330 --> 00:35:56,170
1783
+ discourse ู‡ู… ุฌุฒุก ู…ู† ุงู„ universe of discourse ุชู…ุงู…
1784
+
1785
+ 447
1786
+ 00:35:57,100 --> 00:36:03,720
1787
+ Okay ู…ุงุฒุงู„ ููŠ ุจุนุถ ุงู„ conventions ุฃูˆ ุงู„ุชูˆุญูŠุฏุงุช ุงู„ู„ู‰
1788
+
1789
+ 448
1790
+ 00:36:03,720 --> 00:36:07,920
1791
+ ุจุฏู†ุง ู†ุชูู‚ ุนู„ูŠู‡ุง ููŠ ุงู„ุฑูŠุงุถูŠุงุช ู†ุชุนุงู…ู„ ู…ุนู‡ุง ููŠู…ุง ูŠุฎุต
1792
+
1793
+ 449
1794
+ 00:36:07,920 --> 00:36:13,620
1795
+ ุงู„ quantifiers ู†ุจุฏุฃ ุจุงู„ universe of discourse ุงู„ู„ู‰
1796
+
1797
+ 450
1798
+ 00:36:13,620 --> 00:36:19,540
1799
+ ู…ู…ูƒู† ู†ุนู…ู„ู‡ restriction ุฒูŠุงุฏุฉ ุงูˆ ู‚ูŠูˆุฏ ุฒูŠุงุฏุฉ ู†ุนู…ู„ู‡
1800
+
1801
+ 451
1802
+ 00:36:19,540 --> 00:36:25,700
1803
+ ู‚ูŠูˆุฏ ุฒูŠุงุฏุฉ ุฒู‰ ุงู† ุงู‚ูˆู„ for all x greater than zero
1804
+
1805
+ 452
1806
+ 00:36:26,440 --> 00:36:29,860
1807
+ ูุนุฒูŠุฒูŠ ุฃู†ุง ู…ุด ุงุณุชุฎุฏู…ุช ุงู„ quantifier ุจุณ ู„ุฃ ูˆ
1808
+
1809
+ 453
1810
+ 00:36:29,860 --> 00:36:37,160
1811
+ ุงุณุชุฎุฏู…ุช ูƒู…ุงู† ู…ุนุงุฏู„ุฉ ุชุฑุจุทู‡ ุฃูƒ๏ฟฝ๏ฟฝุฑ ุงู„ู„ูŠ ู‡ูŠ ุฃูƒุจุฑ ู…ู† ุตูุฑ
1812
+
1813
+ 454
1814
+ 00:36:37,160 --> 00:36:43,280
1815
+ ูุนุฒูŠุฒูŠ ุฃู†ุง ุฃุชูƒู„ู… ุงู„ุขู† ู…ุด ุนู† ุจุงู„ู…ุทู„ู‚ ูƒู„ X ุงู„ X ู„ุฃ
1816
+
1817
+ 455
1818
+ 00:36:43,280 --> 00:36:47,120
1819
+ ุนู† ุงู„ X ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† ุตูุฑ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† ุตูุฑ ุบูŠุฑ
1820
+
1821
+ 456
1822
+ 00:36:47,120 --> 00:36:50,360
1823
+ ู…ุดู…ูˆู„ุฉ ู…ุน ุฃู† ุฃู†ุง ุนุงู…ู„ for allุจู…ุง ุงู† ุงุญู†ุง ุนุงู…ู„ูŠู†
1824
+
1825
+ 457
1826
+ 00:36:50,360 --> 00:36:54,980
1827
+ for all ูุฅุฐุง ุงู‡ ููŠ ู…ุฌุงู„ ุงู† ุงุณุชุฎุฏู… ุงุนู…ู„ restriction
1828
+
1829
+ 458
1830
+ 00:36:54,980 --> 00:37:00,140
1831
+ ุงูƒุชุฑ ุชู‚ูŠูŠุฏ ุงูƒุชุฑ ู„ู„ quantification ุงูˆ ู„ู„
1832
+
1833
+ 459
1834
+ 00:37:00,140 --> 00:37:03,180
1835
+ quantifiers ุงู„ู„ูŠ ุจู†ุณุชุฎุฏู…ู‡ุง ุฒูŠ for all x ุฃูƒุจุฑ ู…ู†
1836
+
1837
+ 460
1838
+ 00:37:03,180 --> 00:37:08,460
1839
+ ุตูุฑ ู P of X is true ููƒุชุนุฑูŠู ุจู†ู‚ูˆู„ for all x that
1840
+
1841
+ 461
1842
+ 00:37:08,460 --> 00:37:14,900
1843
+ are greater than zeroูู‚ุท ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูƒู„ ู…ู† ู‡ูˆ
1844
+
1845
+ 462
1846
+ 00:37:14,900 --> 00:37:19,340
1847
+ ุฃูƒุจุฑ ู…ู† ุตูุฑ ุจูŠุญู‚ู‚ ู„ูŠู‡ P of X ุชู…ุงู… ูˆ ู†ูุณ ุงู„ูƒู„ุงู… ููŠ
1848
+
1849
+ 463
1850
+ 00:37:19,340 --> 00:37:23,220
1851
+ there exist ุนููˆุง ููŠ there exist ู‡ู†ุง ู‡ุฐู‡ ู„ู…ุง ุจุฏู†ุง
1852
+
1853
+ 464
1854
+ 00:37:23,220 --> 00:37:26,080
1855
+ ู†ูŠุฌูŠ ุฃููƒููƒู‡ุง ู„ูˆ ุจุฏุฃ ุฃุญุทู‡ู… ู‡ุฏูˆู„ ุงู„ two quantifiers
1856
+
1857
+ 465
1858
+ 00:37:26,080 --> 00:37:31,620
1859
+ ุจุดูƒู„ ูˆุงุถุญ ู†ูุณู‡ู… ู…ุน ุจุนุถ ูƒุฃู†ูŠ ุจู‚ูˆู„ for all of X
1860
+
1861
+ 466
1862
+ 00:37:31,620 --> 00:37:41,130
1863
+ greater than 0 implies P of X ูุฅุฐู† ู„ูƒู„ ู‚ูŠู… Xุฅุฐุง X
1864
+
1865
+ 467
1866
+ 00:37:41,130 --> 00:37:47,210
1867
+ ุฃูƒุจุฑ ู…ู† ุตูุฑ ุฅุฐุง P of X is true ุตุญ ู„ุงุญุธ ูƒู…ุงู† ู…ุฑุฉ
1868
+
1869
+ 468
1870
+ 00:37:47,210 --> 00:37:54,590
1871
+ ู„ูƒู„ ู‚ูŠู… X ุฅุฐุง ูุงู†ุช ุฏุฎู„ุช ููŠ ุงู„ F then ุฅุฐุง X ุฃูƒุจุฑ ู…ู†
1872
+
1873
+ 469
1874
+ 00:37:54,590 --> 00:38:00,450
1875
+ ุตูุฑ ู P of X is true ุนุดุงู† ู‡ูŠูƒ ููŠ ุงู„ for all
1876
+
1877
+ 470
1878
+ 00:38:00,450 --> 00:38:06,780
1879
+ ุจู†ุณุชุฎุฏู… implicationุจู†ุณุชุฎุฏู… ุงู„ implication ููŠ there
1880
+
1881
+ 471
1882
+ 00:38:06,780 --> 00:38:13,060
1883
+ exist x greater than zero, p of x is true ูููŠ
1884
+
1885
+ 472
1886
+ 00:38:13,060 --> 00:38:15,940
1887
+ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ูƒุงู†ุช there is an x greater than zero
1888
+
1889
+ 473
1890
+ 00:38:15,940 --> 00:38:20,040
1891
+ such that p of x is true ู†ูƒุชุจู‡ุง ูƒุชุงู„ุฉ there exist
1892
+
1893
+ 474
1894
+ 00:38:20,040 --> 00:38:29,880
1895
+ ูŠูˆุฌุฏ xู„ุงุญุธ ูŠูˆุฌุฏ X ู‡ูˆ ุฃูƒุจุฑ ู…ู† ุงู„ุตูุฑ ูˆ ูŠุญู‚ู‚ P of X
1896
+
1897
+ 475
1898
+ 00:38:29,880 --> 00:38:33,840
1899
+ ู„ุงุฒู… ูŠูƒูˆู† ููŠ end ู‡ู†ุง ู„ูŠุดุŸ ู„ุฃู†ู†ุง ู†ุชูƒู„ู… ุนู† there
1900
+
1901
+ 476
1902
+ 00:38:33,840 --> 00:38:37,480
1903
+ exist ูŠุนู†ูŠ ูˆุงุญุฏ ุทุจ ู…ุง ู‡ูˆ ู…ู…ูƒู† ูŠูƒูˆู† ูˆุงุญุฏ ุฃูƒุจุฑ ู…ู†
1904
+
1905
+ 477
1906
+ 00:38:37,480 --> 00:38:43,960
1907
+ ุตูุฑ ูˆ ูˆุงุญุฏ ุชุงู†ูŠ ุชู…ุงู…ุง ุจุญู‚ู‚ ุงู„ P of X ุตุญุŸ ุงุญู†ุง
1908
+
1909
+ 478
1910
+ 00:38:43,960 --> 00:38:47,340
1911
+ ู…ุงู‚ูˆู„ู†ุงุด for all ุงุญู†ุง ุจู‚ูˆู„ there existูŠูƒููŠ at
1912
+
1913
+ 479
1914
+ 00:38:47,340 --> 00:38:50,820
1915
+ least one ุงู„ one ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ููŠ ุฃู†ุฏูŠ ูุนู„ุง ุฃู†ุตุฑ
1916
+
1917
+ 480
1918
+ 00:38:50,820 --> 00:38:54,300
1919
+ ูˆุงุญุฏ ู‡ูˆ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูˆ ููŠ ุฃู†ุตุฑ ูˆุงุญุฏ ุจูŠุญู‚ู‚ P of X ุจุณ
1920
+
1921
+ 481
1922
+ 00:38:54,300 --> 00:38:57,800
1923
+ ู…ุง .. ู…ุงุฒุจุทูˆุด ู…ุน ุจุนุถ ุทุจ ุนุดุงู† ุฃุถู…ู† ุฃู† ู‡ู… ูŠุธุจุทูˆุง ู…ุน
1924
+
1925
+ 482
1926
+ 00:38:57,800 --> 00:39:01,920
1927
+ ุจุนุถ ูˆ ุฌู…ู„ุฉ ุชูƒูˆู† ุตุญูŠุญุฉ ู…ุนู†ุงุชู‡ ุงู„ู„ูŠ ุฃูƒุจุฑ ู…ู† ุตูุฑ ู„ุงุฒู…
1928
+
1929
+ 483
1930
+ 00:39:01,920 --> 00:39:05,380
1931
+ ูŠูƒูˆู† ู‡ูˆ ู†ูุณู‡ ุงู„ู„ูŠ ุญู‚ู‚ P of X ุนุดุงู† ุฃู‚ูˆู„ there exist
1932
+
1933
+ 484
1934
+ 00:39:05,380 --> 00:39:10,900
1935
+ unigent ุฃู†ุตุฑ ุฃูƒุจุฑ ู…ู† ุตูุฑ ุญู‚ู‚ P of X ูู…ุนู†ุงู‡ ู„ุงุฒู… ..
1936
+
1937
+ 485
1938
+ 00:39:10,900 --> 00:39:14,940
1939
+ ู…ุนู†ุงู‡ ุฐู„ูƒ ู„ุงุฒู… ุงู„ุฃุชู†ูŠู† ู…ุน ุจุนุถ ุงู„ุดุฑุทูŠู† ู…ุน ุจุนุถ ุนุดุงู†
1940
+
1941
+ 486
1942
+ 00:39:14,940 --> 00:39:22,240
1943
+ ู‡ูŠูƒ ู‡ู†ุฑุจุทู‡ู… ุจ andูˆุงุถุญุฉ ู„ุงุฒู… ูŠุฑุชุจุทูˆุง ู‡ู†ุง ุจ end ู„ุงุจุฏ
1944
+
1945
+ 487
1946
+ 00:39:22,240 --> 00:39:27,060
1947
+ ูุฅุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ุฃู†ุตุฑ ูˆุงุญุฏ ูุนู„ุง ูŠุญู‚ู‚ ู„ูŠ ุฃู† ู‡ูŠ ุฃูƒุจุฑ
1948
+
1949
+ 488
1950
+ 00:39:27,060 --> 00:39:31,460
1951
+ ู…ู† ุตูุฑ ูˆ ุฃู†ุตุฑ ูˆุงุญุฏ ูŠุญู‚ู‚ ู„ูŠ P of X ุจุณ ู…ุด ู†ูุณ
1952
+
1953
+ 489
1954
+ 00:39:31,460 --> 00:39:35,200
1955
+ ุงู„ุฃู†ุตุฑูŠู†ูˆุงุญุฏ ููŠ ุจุฏุงูŠุฉ ุงู„ universe of discourse ูˆ
1956
+
1957
+ 490
1958
+ 00:39:35,200 --> 00:39:37,680
1959
+ ูˆุงุญุฏ ูู‰ ู†ุต ุงู„ universe of discourse ู…ุด ู…ุฎุชู„ููŠู† ุนู†
1960
+
1961
+ 491
1962
+ 00:39:37,680 --> 00:39:41,460
1963
+ ุจุนุถ ู„ุฃ ุฃู†ุง ุจุฏูŠุงู‡ู… ุนุดุงู† ุงู‚ูˆู„ ุงู† ู‡ูˆ ูุนู„ุง there exist
1964
+
1965
+ 492
1966
+ 00:39:41,460 --> 00:39:46,080
1967
+ ูˆ ุฃูƒุจุฑ ุจุฑุถู‡ ู…ู† ุตูุฑ ูˆ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูุนู„ุง ุฃุญู‚ู‚ ูƒู„ู…ุฉ ูˆ
1968
+
1969
+ 493
1970
+ 00:39:46,080 --> 00:39:50,940
1971
+ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูุงู„ ูˆ ุจู†ุญุทู‡ุง and ู„ุงุฒู… ุชูƒูˆู† ูˆุงุถุญุฉ ูƒ and
1972
+
1973
+ 494
1974
+ 00:39:52,910 --> 00:39:56,470
1975
+ ู„ู‚ุฏุงู… ุชูƒูˆู†ูˆุง ูุงู‡ู…ูŠู† ุงู„ุฎุทูˆุทูŠู† ู‡ุฏูˆู„ุฉ ุจุญูŠุซ ุฃู†ู‡ ู„ู…ุง
1976
+
1977
+ 495
1978
+ 00:39:56,470 --> 00:39:59,430
1979
+ ุชุฌูŠูƒู… for all ุนู„ู‰ ุทูˆู„ ุงู†ุช ุจุชุนูˆุฏ ู…ูƒุงู†ู‡ุง ุฅูŠุด there
1980
+
1981
+ 496
1982
+ 00:39:59,430 --> 00:40:02,650
1983
+ exist ุนููˆุง implication ู„ู…ุง ุชุฌูŠูƒ there exist ุจุชุนูˆุฏ
1984
+
1985
+ 497
1986
+ 00:40:02,650 --> 00:40:07,920
1987
+ ู…ูƒุงู†ู‡ุง andุฎุฏูˆุง ุจุงู„ูƒู… ู‡ุชูŠุฌูŠู†ุง ุฃู…ุซู„ุฉ ูƒุชูŠุฑ ู„ู‚ุฏุงู… by
1988
+
1989
+ 498
1990
+ 00:40:07,920 --> 00:40:12,920
1991
+ logic ุจุฏูƒ ๏ฟฝ๏ฟฝููƒุฑ ููŠู‡ุง ูˆ ุชุฎุชุตุฑ ุงูˆ ุนููˆุง ุชุญุท ุงู„
1992
+
1993
+ 499
1994
+ 00:40:12,920 --> 00:40:16,780
1995
+ equivalent ู„ุฅู„ู‡ุง ุนุดุงู† ุชูƒู…ู„ ุจุงุฌูŠ ุณุคุงู„ูƒ ูู‡ู†ุง ูู‡ู…ู†ุงู‡ุง
1996
+
1997
+ 500
1998
+ 00:40:16,780 --> 00:40:21,600
1999
+ ู…ู† ุงู„ุขู† ู‡ูŠ ูˆุงุถุญุฉ ูˆู…ู†ุทู‚ูŠุฉ ู‡ุฐู‡ ู„ุงุฒู… ูŠูƒูˆู† and there
2000
+
2001
+ 501
2002
+ 00:40:21,600 --> 00:40:25,540
2003
+ exist ูˆ ู„ุงุฒู… ุชูƒูˆู† implication ู„ู„ for all ุชุจู‚ู‰
2004
+
2005
+ 502
2006
+ 00:40:25,540 --> 00:40:29,840
2007
+ ู…ุฑูƒุฒูŠู† ููŠู‡ุงู‡ู†ุญุชุงุฌู‡ุง ู„ู‚ุฏุงู… ู…ุด ุจุถุฑูˆุฑูŠ ุงู„ูŠูˆู… ููŠ
2008
+
2009
+ 503
2010
+ 00:40:29,840 --> 00:40:33,520
2011
+ ู…ุญุงุถุฑุชู†ุง ุจุณ ู„ู‚ุฏุงู… ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุทูŠุจ ุจุฑุถู‡
2012
+
2013
+ 504
2014
+ 00:40:33,520 --> 00:40:38,260
2015
+ ุจุฏู†ุง ู†ุชุนู„ู… ุงูƒุชุฑ ุนู† ุงู„ bending ุงูˆ ุนู…ู„ูŠุฉ ุงู„ุชู‚ูŠูŠุฏ ู„ู…ุง
2016
+
2017
+ 505
2018
+ 00:40:38,260 --> 00:40:44,140
2019
+ ุงู‚ูˆู„ for all x there exist x of p of x ู„ุงุญุธ ุงู†ู‡
2020
+
2021
+ 506
2022
+ 00:40:44,140 --> 00:40:49,240
2023
+ two quantifier ู„ู†ูุณุงู„ variable ู„ู†ูุณ ุงู„ variable
2024
+
2025
+ 507
2026
+ 00:40:49,240 --> 00:40:52,620
2027
+ ุฃูƒูŠุฏ ุทุจุนุง ู…ู†ู‡ู… ู…ุด ู…ุนู†ู‰ ุฃูƒูŠุฏ ู…ุด ู‡ุชูƒูˆู† ุงู†ู‡ู… ูƒุชูŠุฑ
2028
+
2029
+ 508
2030
+ 00:40:52,620 --> 00:40:55,340
2031
+ ู…ุนู†ู‰ ูˆุงุญุฏ ู„ุงุฒู… ูŠุฎุชุตุฑ ุงู„ุชุงู†ูŠ ุงู†ุง ู‡ู†ุง ุงุนู…ู„ there
2032
+
2033
+ 509
2034
+ 00:40:55,340 --> 00:41:00,280
2035
+ exist p of x ุฎู„ุงุต ุงู„ for all ุจู‚ู‰ ู„ูŠู‡ุง ู…ุนู†ู‰ ู…ุงู„ู‡ุงุด
2036
+
2037
+ 510
2038
+ 00:41:00,280 --> 00:41:03,880
2039
+ ู…ุนู†ู‰ ู„ูŠุด ูƒู…ุงู† ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ู„ุฃู† there exist ู‡ูŠ ุจุชุดู…ู„
2040
+
2041
+ 511
2042
+ 00:41:03,880 --> 00:41:10,160
2043
+ ุงู„ all ุตุญ ุฃูƒูŠุฏ there exist ุงุญู†ุง ู‚ู„ู†ุง at least one
2044
+
2045
+ 512
2046
+ 00:41:10,160 --> 00:41:18,060
2047
+ ุงูˆ ูƒู„ ูุฅุฐุง ุฃูƒุซุฑ ุดู…ูˆู„ูŠุฉูู…ุนู†ู‰ ุฐู„ูƒ ุฅู† ู‡ุฐุง ุงู„ู…ุนู†ู‰ ู‡ูŠูƒูŠ
2048
+
2049
+ 513
2050
+ 00:41:18,060 --> 00:41:21,000
2051
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูˆ ู…ุนู†ุงู‡ ูƒุฅู† ุจู‚ูˆู„ there exist buffets
2052
+
2053
+ 514
2054
+ 00:41:21,000 --> 00:41:28,550
2055
+ ุจุณ ูู‚ุท ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ุฅู† ุฃู†ุง ูƒู†ุช ุฃู‚ูˆู„ ูƒู„ู‡ ูˆุจุนุถู‡ุจุญู‚ู‚ P
2056
+
2057
+ 515
2058
+ 00:41:28,550 --> 00:41:32,630
2059
+ of X ุทุจ ู„ุฃ ุงุญู†ุง ุจุฏูŠ ุฌู…ู„ุฉ ุดุงู…ู„ุฉ ู„ุงุชู†ูŠู† ู…ุงู†ูุนุด ุจุนุถู‡
2060
+
2061
+ 516
2062
+ 00:41:32,630 --> 00:41:37,510
2063
+ ุฃูƒุซุฑ ูˆุงู‚ุนูŠุฉ ู„ุฃู† ุจุนุถู‡ ู…ู…ูƒู† ุชุดู…ู„ for all ู…ู…ูƒู† ุชุดู…ู„
2064
+
2065
+ 517
2066
+ 00:41:37,510 --> 00:41:42,810
2067
+ for all ุชู…ุงู… ูุฎู„ุงุต ู‡ุฐู‡ ู…ุนุฑูุฉ ุงู„ X ู„ู„ P of X ุชุจุน
2068
+
2069
+ 518
2070
+ 00:41:42,810 --> 00:41:47,830
2071
+ there exist ูˆ ุจุณ ูุฃุตุจุญุช ุงู„ for all ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ุทูŠุจ
2072
+
2073
+ 519
2074
+ 00:41:47,830 --> 00:41:53,970
2075
+ ุงู„ุชุงู†ูŠุฉ ุงู„ุชุงู†ูŠุฉ ู‡ู†ุง ุงู„ Q of Xู‡ุฐู‡ ุงู„ู„ูŠ ุฌุงูŠุฉ ุจุนุฏ ุงู„
2076
+
2077
+ 520
2078
+ 00:41:53,970 --> 00:41:58,370
2079
+ and ุฃูˆ ุงู„ conjunction conjunction Q of X ู„ุงุญุธูˆุง ุงู„
2080
+
2081
+ 521
2082
+ 00:41:58,370 --> 00:42:03,350
2083
+ priorities ู„ู„ุฃู‚ูˆุงุณ ุฃูˆู„ูˆูŠุงุช ุงู„ุฃู‚ูˆุงุณ ูู…ุนู†ู‰ ุฐู„ูƒ ุงู†
2084
+
2085
+ 522
2086
+ 00:42:03,350 --> 00:42:10,490
2087
+ for all ู‡ู†ุง ู„ู„ P ู„ู„ X ุจุชุงุนุฉ P ูู‚ุท ู‡ุฐู‡ outside ุงู„
2088
+
2089
+ 523
2090
+ 00:42:10,490 --> 00:42:15,310
2091
+ quantifier ุฎุงุฑุฌ ุงู„ quantifier ูุฅุฐุง ุจุงู„ู†ุณุจุงู„ูŠ ุงู„ุขู†
2092
+
2093
+ 524
2094
+ 00:42:15,310 --> 00:42:22,370
2095
+ ู‡ู†ุง ู‡ุฐู‡ not propositionู„ูŠุด not propositionุŸ ู„ุฃู† ุงู„
2096
+
2097
+ 525
2098
+ 00:42:22,370 --> 00:42:29,270
2099
+ X ู‡ุฐู‡ okay ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉุŒ boundุŒ variableุŒ
2100
+
2101
+ 526
2102
+ 00:42:29,270 --> 00:42:36,710
2103
+ ู…ุฑุจูˆุทุฉุŒ ู„ูƒู† ุงู„ X ุชุงุนุฉ ุงู„ Q ู‡ูŠ freeุŒ ู‡ุฐู‡ ู…ุง ุฒุงู„ุช
2104
+
2105
+ 527
2106
+ 00:42:36,710 --> 00:42:36,990
2107
+ free
2108
+
2109
+ 528
2110
+ 00:42:41,840 --> 00:42:47,040
2111
+ Madame Free ู…ุณุชุญูŠู„ .. ู…ุณุชุญูŠู„ ูˆุงุถุญุฉ ุจุฑุถู‡ ู…ุง ุฒู„ู†ุง
2112
+
2113
+ 529
2114
+ 00:42:47,040 --> 00:42:51,560
2115
+ ุจู†ุชุนุงู…ู„ ุถู…ู† ุฃูˆู„ูˆูŠุงุช ุงู„ุฃู‚ูˆุงุช ู…ุง ุฒู„ู†ุง ุจู†ุชุนุงู…ู„ ุถู…ู† ุงู„
2116
+
2117
+ 530
2118
+ 00:42:51,560 --> 00:42:58,640
2119
+ priorities ุจุชุงุนุฉ ุงู„ุฃู‚ูˆุงุชูุฅุฐุง ุงู„ X ุงู„ุชุงู†ูŠุฉ ุทุจุนุง ู‡ูŠ
2120
+
2121
+ 531
2122
+ 00:42:58,640 --> 00:43:01,820
2123
+ ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ variable X ุงู„ู„ูŠ ุจุชูƒู„ู… ุนู†ู‡ุง ู‡ูŠ ุงู„ X
2124
+
2125
+ 532
2126
+ 00:43:01,820 --> 00:43:05,920
2127
+ ุงู„ุชุงู†ูŠุฉ ุจุชุงุนุฉ ุงู„ Q ุงู„ู„ูŠ ู‡ูŠ is outside of scope of
2128
+
2129
+ 533
2130
+ 00:43:05,920 --> 00:43:10,000
2131
+ the for all quantifier ูุฅุฐุง ุงุชูู‚ู†ุง ุฅู† ู‡ูŠ not
2132
+
2133
+ 534
2134
+ 00:43:10,000 --> 00:43:13,020
2135
+ proposition ุทูŠุจ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฃูƒุซุฑ ูˆุงู‚ุนูŠุฉ ุจุชุตูŠุฑ
2136
+
2137
+ 535
2138
+ 00:43:13,020 --> 00:43:17,560
2139
+ ุฃู†ูŠ ุฃู‚ูˆู„ for all X P of X and there exist Q of X
2140
+
2141
+ 536
2142
+ 00:43:17,560 --> 00:43:24,970
2143
+ ู‡ุฐุง quantifier ูˆู‡ุฐุง quantifier ูˆู‡ุฐู‡ X ุบูŠุฑ ู‡ุฐู‡ุงู„ X
2144
+
2145
+ 537
2146
+ 00:43:24,970 --> 00:43:29,030
2147
+ ุงู„ู„ูŠ ู‡ู†ุง ุบูŠุฑ ุงู„ X ุงู„ู„ูŠ ู‡ู†ุง ุชู…ุงู…ุง ุบูŠุฑ ุจุนุถ ูŠุนู†ูŠ ู„ูˆ
2148
+
2149
+ 538
2150
+ 00:43:29,030 --> 00:43:32,010
2151
+ ููŠ ุณุคุงู„ ููŠ ุญุงุฌุฉ ุจุฏูƒ ุชุนู…ู„ ุญุณุงุจูƒ ุงู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง
2152
+
2153
+ 539
2154
+ 00:43:32,010 --> 00:43:35,830
2155
+ ู…ุฎุชู„ููŠู† ุชู…ุงู…ุง ุนู† ุจุนุถ ู‡ุฐุง ุชุนุฑูŠู ูˆู‡ุฐุง ุชุนุฑูŠู ุงู„ two X
2156
+
2157
+ 540
2158
+ 00:43:35,830 --> 00:43:41,270
2159
+ ู‡ุฏูˆู„ุฉ ู…ุฎุชู„ููŠู† ุนู† ุจุนุถ ูุฅุฐุง ููŠ ุงู„ุญุงู„ุฉ ู‡ู†ุง ู‡ุฐุง legal
2160
+
2161
+ 541
2162
+ 00:43:41,270 --> 00:43:44,090
2163
+ ูˆู…ู†ุทู‚ู‰ ุฌุฏุง ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุจุณ ุจุฏู†ุง ู†ุงุฎุฏ ุจุงู„ู‡ ุงู†
2164
+
2165
+ 542
2166
+ 00:43:44,090 --> 00:43:48,430
2167
+ ููŠ ุนู†ุฏูŠ two different X's ุนู†ุฏูŠ two different X's
2168
+
2169
+ 543
2170
+ 00:43:48,430 --> 00:43:53,090
2171
+ ุงูˆ two variables ุชู…ุงู…
2172
+
2173
+ 544
2174
+ 00:43:54,930 --> 00:43:58,310
2175
+ ูƒูˆูŠุณ ุงู„ quantifiers ู†ูุณ ุงู„ุฌุซุฉ ุจู†ู‚ุฏุฑ ู†ุชุนุงู…ู„ ู…ุนู‡ุง
2176
+
2177
+ 545
2178
+ 00:43:58,310 --> 00:44:01,570
2179
+ ูƒุชุนุฑูŠูุงุช
2180
+
2181
+ 546
2182
+ 00:44:01,570 --> 00:44:06,590
2183
+ ูˆ ู†ููƒู‡ุง ูˆ ู†ุณุชุฎุฏู…ู‡ุง ู„ุงุญู‚ุง ููŠ ุงู„ proving ุงู„ู„ูŠ ู‡ูŠูƒูˆู†
2184
+
2185
+ 547
2186
+ 00:44:06,590 --> 00:44:09,050
2187
+ ู„ู…ุญุงุถุฑุงุชู†ุง ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ู„ุงู† ู…ู…ูƒู†
2188
+
2189
+ 548
2190
+ 00:44:09,050 --> 00:44:12,590
2191
+ ุชุตู„ู†ูŠ ุชุฌูŠู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ุจุฏู‡ ุงุนู…ู„ู‡ุง proving ุจุฏู‡
2192
+
2193
+ 549
2194
+ 00:44:12,590 --> 00:44:16,310
2195
+ ููƒู‡ุง ู„ู…ุง ู†ููƒู‡ุง ูƒู„ ู…ุง ุนุงุฑููŠู† ุงู† for all ู…ุนู†ุงุชู‡ ุงู† P
2196
+
2197
+ 550
2198
+ 00:44:16,310 --> 00:44:23,190
2199
+ of X ู‡ูŠ P of ูˆุงุญุฏand ุจูŠู‚ู ุงุชู†ูŠู† and ุจูŠู‚ู ุชู„ุงุชุฉ and
2200
+
2201
+ 551
2202
+ 00:44:23,190 --> 00:44:26,130
2203
+ ุจูŠู‚ู ุฃุฑุจุนุฉ and ุจูŠู‚ู ุฎู…ุณุฉ ู„ู…ุง ุฃุฎู„ุต ุงู„ universe of
2204
+
2205
+ 552
2206
+ 00:44:26,130 --> 00:44:29,630
2207
+ discourse ูƒุงู…ู„ุŒ ุจุฏู†ุง ู†ูƒูˆู† ุนุงุฑููŠู†ู‡ุง and and and and
2208
+
2209
+ 553
2210
+ 00:44:29,630 --> 00:44:36,030
2211
+ ู„ุฃู† ูุฑุนูˆ ุงู„ู…ุนู†ุงุชู‡ ูƒู„ู‡ ุงู„ุฃูˆู„ ูˆ ุชุงู†ูŠ ูˆ ุชุงู„ุช ูˆ ูˆ ูˆ ูˆ
2212
+
2213
+ 554
2214
+ 00:44:36,030 --> 00:44:43,050
2215
+ ูˆ ูˆ ูƒู„ู‡ ูˆ ุทูŠุจ ุฃู…ุง ู„ู…ุง ุฃู‚ูˆู„ there exist ูŠูƒููŠ ูˆุงุญุฏุงู„
2216
+
2217
+ 555
2218
+ 00:44:43,050 --> 00:44:48,390
2219
+ conjunction ูƒุงููŠุฉ ุงู„ or ูƒุงููŠ ูุฅุฐุง P of A ุฃูˆ ูˆุงุญุฏ
2220
+
2221
+ 556
2222
+ 00:44:48,390 --> 00:44:57,350
2223
+ ุฃูˆ P of B ุฃูˆ P of C ุฃูˆ ู„ู…ุง ู†ุฎู„ุต ูƒู„ universe of
2224
+
2225
+ 557
2226
+ 00:44:57,350 --> 00:45:02,430
2227
+ discourse ูุฅุฐุง for all ู†ุฑุจุทู‡ู… ุจ andthere exist
2228
+
2229
+ 558
2230
+ 00:45:02,430 --> 00:45:07,450
2231
+ ู†ุฑุจุทู‡ู… ุจ or ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ู†ุทู‚ ุฌุฏุง ูˆู…ู†ู‡ ุจุจุณุงุทุฉ ุฌุฏุง
2232
+
2233
+ 559
2234
+ 00:45:07,450 --> 00:45:11,610
2235
+ ุจุชู‚ุฏุฑ ู†ุณุชู†ุจุท ุงู† ูุฑู‚ ุงู„ X P of X ู‡ูˆ equivalent ู„ุฃ
2236
+
2237
+ 560
2238
+ 00:45:11,610 --> 00:45:15,130
2239
+ negation there exist X negation P of X ู…ูŠู† ุงู„ู„ูŠ
2240
+
2241
+ 561
2242
+ 00:45:15,130 --> 00:45:19,630
2243
+ ู‚ุงู„ ุงู„ูƒู„ุงู… ู‡ุฐุง ุฏูŠ ู…ูˆุฑุบุงู† ุฏูŠ ู…ูˆุฑุบุงู† ุจูŠู‚ูˆู„ ุงู† ู‡ุฐุง
2244
+
2245
+ 562
2246
+ 00:45:19,630 --> 00:45:23,270
2247
+ ุงู„ูƒู„ุงู… ุจูƒู„ ุฃุฑูŠุงุญูŠุฉ ูˆ ุจูƒู„ ุจุณุงุทุฉ ูˆ ู…ุงููŠุด ููŠู‡ุง ุงูŠ
2248
+
2249
+ 563
2250
+ 00:45:23,270 --> 00:45:26,760
2251
+ ู…ุดูƒู„ุฉ ุงุทู„ุงู‚ุง ู„ุงู†ู‡ ุจุชุนู…ู„ ู‡ู†ุง double negationููŠ
2252
+
2253
+ 564
2254
+ 00:45:26,760 --> 00:45:30,460
2255
+ ู…ุดูƒู„ุฉ ุชุนู…ู„ double negation ู‡ูŠ ู‡ูŠ ุถู„ุช ุทูŠุจ double
2256
+
2257
+ 565
2258
+ 00:45:30,460 --> 00:45:33,240
2259
+ negation ู‡ุฐู‡ ู„ู…ุง ุชูŠุฌูŠ ุชููƒู‡ุง ุฏูŠ ูˆุชู‚ูˆู„ ุงู† ู‡ูŠ ุนุจุงุฑุฉ
2260
+
2261
+ 566
2262
+ 00:45:33,240 --> 00:45:42,980
2263
+ ุนู† P of A and P of B and and so on ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูŠ
2264
+
2265
+ 567
2266
+ 00:45:42,980 --> 00:45:49,620
2267
+ ุฏุฎู„ negation ู…ู† ุงู„ุชู†ุชูŠู† ู‡ุฏูˆู„ ุนู„ูŠู‡ู… ุตุงุฑุช negation P
2268
+
2269
+ 568
2270
+ 00:45:49,620 --> 00:46:00,740
2271
+ of A or negation P of Bor ู…ูƒู…ู„ ุตุญ ู‡ูŠุฏูŠ ู…ูˆุฑุฌุงู† ูุฅุฐุง
2272
+
2273
+ 569
2274
+ 00:46:00,740 --> 00:46:08,620
2275
+ ุงู„ุตูŠุบุฉ ู‡ุฐู‡ ุงู„ุฃู† ุฃุตุจุญ there exist ู„ุฃู†ู‡ or ุจุณ there
2276
+
2277
+ 570
2278
+ 00:46:08,620 --> 00:46:14,360
2279
+ exist ู„ู…ูŠู† ู„ negation ุงู„ bees ู‡ุฏูˆู„ุฉ ู…ุนู†ุงุชู‡ ุตุงุฑุช
2280
+
2281
+ 571
2282
+ 00:46:14,360 --> 00:46:20,800
2283
+ negation bees ู„ู„ X ุงู„ X ุดู…ู„ุช ู„ู†ุง ุงู„ A ูˆุงู„B ูˆุงู„C
2284
+
2285
+ 572
2286
+ 00:46:20,800 --> 00:46:24,870
2287
+ ูˆุงู„D ูƒู„ู‡ุฑุฌุนู†ุง ุดู…ู„ู†ุงู‡ุง ูˆ ุงู„ negation ุงู„ุฃูˆู„ู‰ ุฏู„ุช ุฒูŠ
2288
+
2289
+ 573
2290
+ 00:46:24,870 --> 00:46:28,790
2291
+ ู…ุง ู‡ูŠ ุจุฑุง ู…ุงุจุณูƒู†ู‡ุงุด
2292
+
2293
+ 574
2294
+ 00:46:28,790 --> 00:46:32,270
2295
+ ู‡ูŠ ุฏู„ุช ุจุฑุง ุงุญู†ุง ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุงู„ู„ูŠ ุฏุฎู„ู†ุงู‡ุง ุนู„ู‰ ุงู„ุฎูˆุต
2296
+
2297
+ 575
2298
+ 00:46:32,270 --> 00:46:36,450
2299
+ ูˆ ุบูŠุฑู†ุง ุงู„ conjunction ู„ ุงู„ disjunction ูˆ ุจุณ ูุถู„ุช
2300
+
2301
+ 576
2302
+ 00:46:36,450 --> 00:46:39,910
2303
+ ุงู„ู„ูŠ ุจุฑุง ุจุฑุง okay ูˆ ู†ูุณ ุงู„ูƒู„ุงู… ุทุจ ุนู…ู„ ู„ ู…ูŠู† ู„
2304
+
2305
+ 577
2306
+ 00:46:39,910 --> 00:46:44,430
2307
+ there exist ุงู„ or ุจุชุชุญูˆู„ ู„ and ูุฅุฐุง if bad ู…ุงููŠุด
2308
+
2309
+ 578
2310
+ 00:46:44,430 --> 00:46:50,550
2311
+ ููŠู‡ ูƒุชูŠุฑ ู…ุดูƒู„ุฉ ูˆ ูˆุงุถุญ ูˆ ูˆุถูˆุญ ูƒุงู…ู„ okay
2312
+
2313
+ 579
2314
+ 00:46:53,860 --> 00:46:57,540
2315
+ ุจุนุถ ุงู„ู‚ูˆุงู†ูŠู† ุงู„ุณุฑูŠุนุฉ ุงู„ุจุณูŠุทุฉ ู„ู…ุง ุจูŠู‚ูˆู„ for all x
2316
+
2317
+ 580
2318
+ 00:46:57,540 --> 00:47:01,680
2319
+ for all y ู…ุด ู‡ุชูุฑุฌ ู…ูŠู† ู‚ุจู„ ุงู„ุชุงู†ูŠ ู…ูŠู† ู‚ุจู„ ุงู„ุชุงู†ูŠ
2320
+
2321
+ 581
2322
+ 00:47:01,680 --> 00:47:04,640
2323
+ ู…ุด ู‡ุชูุฑุฌ ุฒูŠ ุจุงู„ุธุจุท ููŠ ุงู„ุฌู…ู„ุฉ ุงู†ุช ุนุงู…ู„ู‡ุง direct ูˆู„ุง
2324
+
2325
+ 582
2326
+ 00:47:04,640 --> 00:47:10,920
2327
+ indirect ุงู„ุฌู…ู„ุฉ ุจุณ ู…ุจู†ูŠุฉ ุจุดูƒู„ direct ุงู„ subject ุงู„
2328
+
2329
+ 583
2330
+ 00:47:10,920 --> 00:47:15,410
2331
+ verb ุงู„ object ูˆู„ุง ุนูƒุณู‡ู…ุงู„ object ู…ู‚ุฏู…ู‡ ุนู„ู‰ ุงู„
2332
+
2333
+ 584
2334
+ 00:47:15,410 --> 00:47:18,750
2335
+ subject ู‡ุงูŠ ุงู„ูุฑู‚ ุงู„ูˆุญูŠุฏ ุชู…ุงู… there exist there
2336
+
2337
+ 585
2338
+ 00:47:18,750 --> 00:47:22,050
2339
+ exist ุจุฑุถู‡ ู†ูุณ ุงู„ุฌุซุฉ ู…ูŠู† ุฌุงุจู„ ู…ูŠู† ุงู„ subject ูˆ ุงู„
2340
+
2341
+ 586
2342
+ 00:47:22,050 --> 00:47:25,450
2343
+ object ู…ูŠู† ุฌุงุจู„ ุงู„ุชุงู†ูŠ ู…ูุฑุฌุงุด ู…ุงุฏุงู… ุงู„ quantifier
2344
+
2345
+ 587
2346
+ 00:47:25,450 --> 00:47:30,030
2347
+ ุซุงุจุช ูˆุงุญุฏ ุงู„ quantifier ุซุงุจุช ูˆุงุญุฏ for all ูˆ ู†ุงุฎุฏ
2348
+
2349
+ 588
2350
+ 00:47:30,030 --> 00:47:33,430
2351
+ ุจุงู„ู†ุง ุงู„ุขู† ู…ู† ุงู„ priorities ู„ู„ุฃู‚ูˆุงุณ ุงู„ for all
2352
+
2353
+ 589
2354
+ 00:47:33,430 --> 00:47:37,270
2355
+ ุดุงู…ู„ุฉ ุงู„ู‚ูˆุฉ ูƒู„ู‡ุง ู…ุนู†ุงุชู‡ ูƒุฃู†ู†ูŠ ุจู‚ูˆู„ for all x P of
2356
+
2357
+ 590
2358
+ 00:47:37,270 --> 00:47:43,980
2359
+ X and for all x Q of X ุบูŠุฑ ุงู„ู…ุซุงู„ ุชุจุน ุงู„ุชูˆูˆูŠูƒูˆูŠุณุŸ
2360
+
2361
+ 591
2362
+ 00:47:43,980 --> 00:47:47,500
2363
+ ู†ูุณ ุงู„ูƒู„ุงู… ุงู„ there exist ู†ูุณ ุงู„ููƒุฑุฉ ุจู‚ุฏุฑ ุงุฌุณู… ุงู„
2364
+
2365
+ 592
2366
+ 00:47:47,500 --> 00:47:52,340
2367
+ there exist ุจุณู‡ูˆู„ุฉ ู…ุฏุงู… ุงู„ there exist ู‡ูŠ ู…ุดู…ูˆู„ุฉ
2368
+
2369
+ 593
2370
+ 00:47:52,340 --> 00:47:56,820
2371
+ ุดุงู…ู„ุฉ ุงู„ู‚ูˆุงุต ูƒู„ู‡ ูู‡ูŠ ู†ุงุฎุฏ ุจุงู„ู†ุง ู…ู† ุงู„ุฃู‚ูˆุงุตุŒ
2372
+
2373
+ 594
2374
+ 00:47:56,820 --> 00:48:00,400
2375
+ ุงู„ุฃู‚ูˆุงุต ู‡ูŠ ุงู„ู„ูŠ ู‡ุชุนุทูŠูƒ ุฑุคูŠุฉ ุงูˆ ุงู„ scope ู„ ุงู„
2376
+
2377
+ 595
2378
+ 00:48:00,400 --> 00:48:04,480
2379
+ quantifier ุชุจุนู‡ุง ุงู†ูŠ exactly
2380
+
2381
+ 596
2382
+ 00:48:12,590 --> 00:48:15,530
2383
+ ุงู†ุช ุจุชุชูƒู„ู… ู‡ู†ุง ุฎู„ู‘ูŠู†ูŠ ุฃุนุดุงู† ุฃุฑุงูƒ .. ู‡ู†ุงุŸ ุงู‡ ู‡ู†ุง ..
2384
+
2385
+ 597
2386
+ 00:48:15,530 --> 00:48:29,010
2387
+ ู…ุงู„ู‡ุงุŸ for all x .. ู‡ู†ุง .. ุงู„ุทุฑู ู‡ู†ุง .. ุชู…ุงู… .. ู„ุฃ
2388
+
2389
+ 598
2390
+ 00:48:29,010 --> 00:48:34,790
2391
+ ู‡ู†ุง ุซุงุจุชุฉ ู„ุฃู†ู‡ ุฃู†ุช ุฃุตู„ุง ุจุฅูŠุฏูƒ ููƒูƒู‡ุง ุฃู†ุช
2392
+
2393
+ 599
2394
+ 00:48:34,790 --> 00:48:39,030
2395
+ ููƒูƒู‡ุง ูุงู†ุช ุงู„ุขู† ุนุฑู ุฃู† ู‡ู…ุง ุซุงุจุชูŠู† ู„ูƒู† ุฅุฐุง ุฅุฌุฏูƒ ู…ู†
2396
+
2397
+ 600
2398
+ 00:48:39,030 --> 00:48:45,680
2399
+ ุงู„ุฃุณุงุณ ุจู‡ุฐุง ุงู„ุดูƒู„ุจุชูƒูˆู† ุนู†ุฏูƒ ู…ุนู„ูˆู…ุฉ ู…ุณุจู‚ุฉ ู‡ู… ู†ูุณ ุงู„
2400
+
2401
+ 601
2402
+ 00:48:45,680 --> 00:48:50,060
2403
+ X ูˆู„ุง ู…ุด ู†ูุณ ุงู„ X ู„ุชูƒูˆู† ู…ุนุฑูˆูุฉ ุนู†ุฏูƒ ู…ุณุจู‚ุง ู‡ู… ู‡ู„ ู‡ู…
2404
+
2405
+ 602
2406
+ 00:48:50,060 --> 00:48:54,880
2407
+ ู†ูุณ ุงู„ X ูˆู„ุง ู…ุด ู†ูุณ ุงู„ X ููŠ ุงู„ุขุฎุฑ ุจุชุจูŠู† ุฅู† ู‡ู… ู…ุด
2408
+
2409
+ 603
2410
+ 00:48:54,880 --> 00:48:58,220
2411
+ ู†ูุณู‡ู… ุฅุฐุง ูƒุงู† ูุฑุถู†ุง ู…ุซู„ุง ู‡ู†ุง there exist ูˆ ู‡ู†ุง for
2412
+
2413
+ 604
2414
+ 00:48:58,220 --> 00:49:03,220
2415
+ all ู…ุนู†ุงุชู‡ ุงู„ุชุนุงู…ู„ ู‡ู†ุง ู…ุฎุชู„ู ุนู† ุงู„ุชุนุงู…ู„ ู‡ู†ุง ุจุณ ู‡ู†ุง
2416
+
2417
+ 605
2418
+ 00:49:03,220 --> 00:49:06,380
2419
+ for all for all ูƒู„ ุงู„ู„ูŠ ุจู‡ู…ูƒ ุฅู† X ู‡ูŠ universe of
2420
+
2421
+ 606
2422
+ 00:49:06,380 --> 00:49:10,900
2423
+ discourse ุงู„ู„ูŠ ู‡ูŠูุฑุฌู‡ู… ุนู† ุจุนุถ ุทุจูŠุนุฉ ุงู„ predicate
2424
+
2425
+ 607
2426
+ 00:49:10,900 --> 00:49:16,880
2427
+ ู†ูุณู‡ู…ุง ู‡ูˆ ุงู„ู€ predicate ุจุงู„ุธุจุทุŸ Like ูˆ ู„ุง rely on
2428
+
2429
+ 608
2430
+ 00:49:16,880 --> 00:49:20,520
2431
+ ูˆ ู„ุง ุงูŠุด ุจุงู„ุธุจุท ุทุจูŠุนุชู‡ ุงู„ู€ Q ู‡ู†ุง ู…ุฎุชู„ูุฉ ุนู† ุงู„ P
2432
+
2433
+ 609
2434
+ 00:49:20,520 --> 00:49:27,520
2435
+ ู„ูƒู† ุชูˆุฒูŠุน ุงู„ quantifier ู„ู„ูƒู„ ุจู†ูุณ ุงู„ุฃู„ูŠุฉ for all
2436
+
2437
+ 610
2438
+ 00:49:27,520 --> 00:49:35,490
2439
+ ู„ู„ P ูˆ ู„ู„ Qุงู„ุฃู‚ูˆุงุณ ู‡ูŠ ุงู„ priority ู‡ูŠ ุงู„ู„ู‰ ุจุชุนุทูŠูƒ
2440
+
2441
+ 611
2442
+ 00:49:35,490 --> 00:49:38,790
2443
+ ุงู„ priority ุจุงู„ุธุจุท ูˆ ุจุชุนุทูŠูƒ ู…ูู‡ูˆู… ุงู„ููƒุฑุฉ ุชุจุนุชูƒ
2444
+
2445
+ 612
2446
+ 00:49:38,790 --> 00:49:43,510
2447
+ ุจุงู„ุธุจุท ุชู…ุงู… ูู‡ู†ุง ู‡ูŠ ุนู…ู„ูŠุฉ ุงู„ุชูˆุฒูŠุน ุงู„ู„ู‰ ุจู†ุชูƒู„ู… ุนู†ู‡ุง
2448
+
2449
+ 613
2450
+ 00:49:43,510 --> 00:49:46,290
2451
+ ุจู†ูƒู…ู„ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุนุดุงู† ู†ุนุฑู
2452
+
2453
+ 614
2454
+ 00:49:46,290 --> 00:49:50,070
2455
+ quantifier ุฌุฏูŠุฏ ูˆ ู†ู†ู‡ูŠ ููŠ ู…ุญุงุถุฑุชู†ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุงู†
2456
+
2457
+ 615
2458
+ 00:49:50,070 --> 00:49:51,250
2459
+ ุดุงุก ุงู„ู„ู‡ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
2460
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/50_HPAABoYI_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/50_HPAABoYI_raw.srt ADDED
@@ -0,0 +1,2536 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:04,960 --> 00:00:07,780
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆ ุฑุญ ุฃู‚ูˆู„ ุนููˆุง ูŠุง ุดุจุงุจ ุงู„ูŠูˆู… ุงู† ุดุงุก
4
+
5
+ 2
6
+ 00:00:07,780 --> 00:00:11,500
7
+ ุงู„ู„ู‡ ู†ูƒู…ู„ ููŠ ุงู„ graphs ูƒู†ุง ุฃุฎุฏู†ุง ุงู„ undirected
8
+
9
+ 3
10
+ 00:00:11,500 --> 00:00:15,820
11
+ graph ูุงู„ูŠูˆู… ู†ูƒู…ู„ ููŠ ุงู„ directed graph ูˆ ุงู„ู„ูŠ ู‡ูŠ
12
+
13
+ 4
14
+ 00:00:15,820 --> 00:00:20,280
15
+ ุฃู†ุซู‰ ู„ูƒุชูŠุฑุฉ ุงู„ุญู‚ูŠู‚ุฉ ู‡ูŠ corresponding ู„ุฃูŠ binary
16
+
17
+ 5
18
+ 00:00:20,280 --> 00:00:24,840
19
+ relation ุงู„ู„ูŠ ู‡ูŠ need not be symmetric ุงู† ู‡ูŠ ู…ุด
20
+
21
+ 6
22
+ 00:00:24,840 --> 00:00:27,880
23
+ ุจุฏุฑูˆุฑ ุชูƒูˆู† symmetric ุฒูŠ ุงู„ undirected ุงู„
24
+
25
+ 7
26
+ 00:00:27,880 --> 00:00:31,780
27
+ undirected ู‚ู„ู†ุง ุงู† ู‡ูˆ ุฎุท ุจูŠู† ู†ู‚ุทูŠู† ูˆ ุงู„ุฎุท ุงู„ู„ูŠ ุจูŠู†
28
+
29
+ 8
30
+ 00:00:31,780 --> 00:00:35,390
31
+ ู†ู‚ุทู†ุง ุงูˆ edgeุจูŠู† ู†ู‚ุทุชูŠู† ูˆ ุงู„ edge ู‡ุฐู‡ ููŠ ุงู„ุงุชุฌุงู‡ูŠู†
32
+
33
+ 9
34
+ 00:00:35,390 --> 00:00:39,930
35
+ ู…ุงุดูŠ ููŠ ุงู„ุงุชุฌุงู‡ูŠู† ู…ู† ุงู„ vertex ุงู„ุฃูˆู„ู‰ ู„ู„ vertex
36
+
37
+ 10
38
+ 00:00:39,930 --> 00:00:42,370
39
+ ุงู„ุชุงู†ูŠุฉ ุงูˆ ู…ู† ุงู„ vertex ุงู„ุชุงู†ูŠุฉ ู„ู„ vertex ุงู„ุฃูˆู„ู‰
40
+
41
+ 11
42
+ 00:00:42,370 --> 00:00:48,200
43
+ ููŠ ุงู„ุขุฎุฑ ู‡ูŠ ู‚ุทุนุฉ ูˆ ุฎู„ุงุต ุจู‡ุฐุง ุงู„ุดูƒู„ูู‡ุฐู‡ ูƒุงู†ุช
44
+
45
+ 12
46
+ 00:00:48,200 --> 00:00:51,620
47
+ undirected ู„ูƒู† ู„ู…ุง ุจูŠู‚ูˆู„ directed ู„ุฃ ูู‡ูŠ ู…ุญุฏุฏุฉ ู…ู†
48
+
49
+ 13
50
+ 00:00:51,620 --> 00:00:56,780
51
+ ุฅู„ู‰ ูุนุงุฏุฉ ุจู†ุณู…ูŠู‡ุง ู…ู† U ู„ V ุงู„ vertices ุชุจุนุชู†ุง U ูˆ
52
+
53
+ 14
54
+ 00:00:56,780 --> 00:01:02,280
55
+ V ุจุชูƒูˆู† ู…ูˆุฌู‡ุฉ ู…ู† ุฅู„ู‰ ูู‡ุฐู‡ ุจูŠุณู…ูˆู‡ุง directed ูุทุจูŠุนูŠ
56
+
57
+ 15
58
+ 00:01:02,280 --> 00:01:05,180
59
+ ู…ุด ู‡ุชูƒูˆู† symmetric ู…ุด ู‡ุชูƒูˆู† symmetric ู„ูŠุด ู„ุฃู†ู‡
60
+
61
+ 16
62
+ 00:01:05,180 --> 00:01:07,620
63
+ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ ู‡ูˆ ู…ุด symmetric ู‡ูŠ ูƒุฃู†ู‡ ุตุงุฑ ุนู†ุฏูŠ ุฒูˆุฌ
64
+
65
+ 17
66
+ 00:01:07,620 --> 00:01:13,730
67
+ ู…ุฑุชุจ U ูˆ Vู‡ู„ ูŠูˆุฌุฏ V ูˆ UุŸ ู„ุฃ ู„ุฅู† ู…ุงููŠุด relation
68
+
69
+ 18
70
+ 00:01:13,730 --> 00:01:19,210
71
+ from V to U ู‡ูŠ ุงู„ relation ูุนู„ูŠุง from U to V ู‡ูŠ
72
+
73
+ 19
74
+ 00:01:19,210 --> 00:01:22,970
75
+ from U to V ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุงูƒู†ุด ู…ูˆุฌูˆุฏ ูˆูŠู†ุŸ ููŠ ุงู„
76
+
77
+ 20
78
+ 00:01:22,970 --> 00:01:25,130
79
+ undirected ููŠ ุงู„ undirected ุฃู†ุง ูƒู†ุช ุจุญุทู‡ ุจู‡ุฐุง
80
+
81
+ 21
82
+ 00:01:25,130 --> 00:01:29,710
83
+ ุงู„ุดูƒู„ ุฎู„ุงุต ู‡ูŠ ุงู„ U ูˆ ุงู„ V ูู‡ุฐู‡ ูุนู„ูŠุง ุจู‚ุฏุฑ ุฃู‚ุฑุฃู‡ุง U
84
+
85
+ 22
86
+ 00:01:29,710 --> 00:01:37,370
87
+ to V ูˆ ุจู‚ุฏุฑ ุฃู‚ุฑุฃู‡ุง V to U ุจู…ุดูŠ ุงู„ุญู„ ู„ูŠุดุŸ ู„ุฅู† ู…ุงููŠุด
88
+
89
+ 23
90
+ 00:01:37,370 --> 00:01:43,240
91
+ ุงุชุฌุงู‡ุŒ ุชู…ุงู…ู‡ู†ุง ู„ุฃ ุตุงุฑ ููŠ ุนู†ุฏ ุงุชุฌุงู‡ ูˆ ู‡ู†ุง ุงู„ู€
92
+
93
+ 24
94
+ 00:01:43,240 --> 00:01:46,640
95
+ directed graph ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ ู‡ูˆ ู…ุฌู…ูˆุนุฉ vertices ุฒุงุฏ
96
+
97
+ 25
98
+ 00:01:46,640 --> 00:01:51,320
99
+ edges ูˆ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุชุญุชูˆูŠ ุนู„ู‰ set of vertices V
100
+
101
+ 26
102
+ 00:01:51,320 --> 00:01:56,180
103
+ ูˆ ู…ุฌู…ูˆุนุฉ edges ูƒู„ edge ุชู…ุซู„ relation ูƒู„ edge ุชู…ุซู„
104
+
105
+ 27
106
+ 00:01:56,180 --> 00:01:59,390
107
+ ุงูˆ ู…ุฌู…ูˆุนุฉ ุงู„ edges ู‡ุฐู‡ ู‡ูŠ ุชู…ุซู„ ุงู„ relation ูุนู„ุงุฒูŠ
108
+
109
+ 28
110
+ 00:01:59,390 --> 00:02:03,050
111
+ ู…ุซุงู„ ุงู„ู„ูŠ ุงุญู†ุง ุดุงูŠููŠู†ู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ ูุงู†ุช ุจุชู‚ูˆู„ ุนุจุงุฑุฉ
112
+
113
+ 29
114
+ 00:02:03,050 --> 00:02:06,850
115
+ ุนู† ู…ุฌู…ูˆุนุฉ nodes ุนู†ุฏูƒ ูˆููŠ relation between them ุจุณ
116
+
117
+ 30
118
+ 00:02:06,850 --> 00:02:11,110
119
+ ู…ูˆุฌู‡ุฉ ู…ุนุฑูˆูุฉ ู…ู† ุฅู„ู‰ ูˆุงู…ุซู„ุฉ ูƒุชูŠุฑ ุงู„ุญู‚ูŠู‚ุฉ ุนู„ู‰ ู‡ุฐุง
120
+
121
+ 31
122
+ 00:02:11,110 --> 00:02:13,570
123
+ ุงู„ูƒู„ุงู… ุฒูŠ ู„ูˆ ู‚ูˆู„ู†ุง ู…ุซู„ุง ุงู„ vertices ุจุชุงุนุชู†ุง ู‡ูŠ ุงู„
124
+
125
+ 32
126
+ 00:02:13,570 --> 00:02:17,770
127
+ set of people ุจูƒู„ ุจุณุงุทุฉ ุงู„ relation loves ุงูˆ likes
128
+
129
+ 33
130
+ 00:02:17,770 --> 00:02:22,870
131
+ ุชู…ุงู…ุŸ ู‡ูŠ ู…ุด symmetric ูู…ุนู†ู‰ ุฐู„ูƒ ู‡ุฐู‡ ู„ุงุฒู… ุชูƒูˆู† ู…ุญุฏุฏ
132
+
133
+ 34
134
+ 00:02:22,870 --> 00:02:27,850
135
+ ุงุชุฌุงู‡ู‡ุง x loves y
136
+
137
+ 35
138
+ 00:02:28,600 --> 00:02:36,400
139
+ ุฃูˆ likes x likes y ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุงู† y love ุงูˆ loves
140
+
141
+ 36
142
+ 00:02:36,400 --> 00:02:41,680
143
+ x ู…ุงุญุฏุด ุฌุงู„ ู‡ุฐู‡ ุงุชุฌุงู‡ู‡ุง ูˆุงุถุญ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ู„ ููŠ
144
+
145
+ 37
146
+ 00:02:41,680 --> 00:02:46,400
147
+ ุงุชุฌุงู‡ ุนูƒุณูŠ ู„ุฃ ู…ุงุฌุงู„ุด ู„ุงุฒู… ูŠูƒูˆู† ุตุฑุงุญุฉ ุฌุงู„ ู„ุงู† ู‡ุฐู‡
148
+
149
+ 38
150
+ 00:02:46,400 --> 00:02:50,740
151
+ directed graph ูู„ู…ุง ุฃุฌูŠ ุฃุจุซู„ู‡ุง ู‡ู†ุง ู‡ู‚ูˆู„ ู…ุซู„ุง ู‡ูŠ x
152
+
153
+ 39
154
+ 00:02:50,740 --> 00:03:00,870
155
+ ูˆู‡ูŠ yูˆ relation love ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† x loves y ุทูŠุจ
156
+
157
+ 40
158
+ 00:03:00,870 --> 00:03:11,790
159
+ ุงู„ุนูƒุณ ู„ุฃ ู…ุงุฌู„ุด ุงู„ุนูƒุณ ู„ูƒู† ู„ู…ุง ุงู‚ูˆู„ ู…ุซู„ุง z y y loves
160
+
161
+ 41
162
+ 00:03:11,790 --> 00:03:17,610
163
+ z ูˆ z loves y ูู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุงู„ุงุชุฌุงู‡ ู‡ู†ุง ูŠูƒูˆู† ูˆุงุถุญ
164
+
165
+ 42
166
+ 00:03:17,610 --> 00:03:23,590
167
+ ุงุชุฌุงู‡ ู‡ู†ุง ูˆุงุถุญ ูู‡ุฐู‡ ุงู„ graph ู…ุฎุชู„ูุฉ ุจุนุถ ุงู„ุดูŠุก ุนู†
168
+
169
+ 43
170
+ 00:03:25,450 --> 00:03:28,830
171
+ ุงู„ู€ undirected graph ุทูŠุจ directed multigraph ู†ูุณ
172
+
173
+ 44
174
+ 00:03:28,830 --> 00:03:31,510
175
+ ุงู„ููƒุฑุฉ ูˆ ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุณุงุจู‚ุง ุจูŠูƒูˆู† ุนู†ุฏู‰ ุฃูƒุชุฑ ู…ู†
176
+
177
+ 45
178
+ 00:03:31,510 --> 00:03:36,170
179
+ path ุญุชู‰ ู„ูˆ ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ ุญุชู‰ ู„ูˆ ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡
180
+
181
+ 46
182
+ 00:03:36,170 --> 00:03:39,770
183
+ ูู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† ู‡ู‰ ู†ู‚ุทุชูŠู† ู†ู‚ุทุฉ ู…ู† ู‡ู†ุง ู„ู†ู‚ุทุฉ ู…ู† ู‡ู†ุง
184
+
185
+ 47
186
+ 00:03:39,770 --> 00:03:42,990
187
+ ู†ูุณ ุงู„ุงุชุฌุงู‡ ู‡ูˆ ู‡ูˆ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุฃู† ู‡ูˆ ูŠุนู†ูŠ ูˆุงุญุฏ ุฑุงูŠุญ
188
+
189
+ 48
190
+ 00:03:42,990 --> 00:03:45,790
191
+ ูˆุงุญุฏ ุฌุงูŠ ูุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ู‡ูŠ symmetric ู„ุฃ ู‡ูŠ ู…ุด
192
+
193
+ 49
194
+ 00:03:45,790 --> 00:03:51,840
195
+ symmetric ู‡ูŠ multigraphู‡ูŠ multigraph ูˆ ุจุณ ุทูŠุจ ุฒูŠ
196
+
197
+ 50
198
+ 00:03:51,840 --> 00:03:54,000
199
+ ุงู„ directly graph ุฒูŠ ู…ุง ู‚ู„ู†ุงู‡ ู„ูƒู† ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูŠ
200
+
201
+ 51
202
+ 00:03:54,000 --> 00:03:59,580
203
+ ุฃูƒุชุฑ ู…ู† one arc ุจูŠู† two points ุฃูˆ from U to V from
204
+
205
+ 52
206
+ 00:03:59,580 --> 00:04:05,800
207
+ X to Y ุฃูƒุชุฑ ู…ู† one arc ุฃูˆ ุฃูƒุชุฑ ู…ู† one edge ูู…ุน ุฃู†
208
+
209
+ 53
210
+ 00:04:05,800 --> 00:04:10,780
211
+ ุฐู„ูƒ ุงู„ุฑุณู… ุจู‚ู‰ ุนุจุฑ ุนู†ู‡ ุจู…ุฌู…ูˆุนุฉ ุฃูˆ set of vertices ูˆ
212
+
213
+ 54
214
+ 00:04:10,780 --> 00:04:17,520
215
+ ู…ุฌู…ูˆุนุฉ edges ูˆ function ู„ุฌุฏุด ุงู„ุนุฏุฏ ู„ูƒู„ edgeุฌุฏูŠุด
216
+
217
+ 55
218
+ 00:04:17,520 --> 00:04:22,040
219
+ ุนุฏุฏู‡ู…ุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฎู…ุณุฉุŒ ุนุดุฑุฉุŒ ูˆ ู‡ู†ุง ุงู„ .. ุงู„ ..
220
+
221
+ 56
222
+ 00:04:22,040 --> 00:04:33,280
223
+ ุงู„ .. ุงู„ in ุบูŠุฑ ุงู„ out ู…ุงุดูŠุŒ
224
+
225
+ 57
226
+ 00:04:33,280 --> 00:04:36,740
227
+ ุจุณ ุงุญู†ุง ู…ุด ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ ู‡ุฐุง ู‡ูŠูƒ ุจุทู„ุช directed
228
+
229
+ 58
230
+ 00:04:36,740 --> 00:04:41,280
231
+ ุงุญู†ุง ุจู†ุชูƒู„ู… in general ูƒูƒู„ ู„ู…ุง ุชูƒูˆู† undirected
232
+
233
+ 59
234
+ 00:04:41,280 --> 00:04:45,960
235
+ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ ุญุชู‰ ุงู„ุฎุท ู‡ุฐุง ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ุจุฏูˆู† ุณู‡ู…ุตุญ
236
+
237
+ 60
238
+ 00:04:45,960 --> 00:04:49,420
239
+ ูˆ ุงู„ุฎุทู‡ุง ุฏู‡ ุจุฏูˆู† ุณู‡ู… ู„ุฃ ุงู†ุช ุจุชุชูƒู„ู… ุนู† total ุงู„
240
+
241
+ 61
242
+ 00:04:49,420 --> 00:04:52,700
243
+ graph ูƒู„ู‡ ุนู„ู‰ ุจุนุถู‡ ุงู†ุง ู…ุงุจุจุทู„ุน ุจุณ ู„ู…ุฌุฑุฏ ุงู†ู‡ ููŠ
244
+
245
+ 62
246
+ 00:04:52,700 --> 00:04:57,940
247
+ self loop ูˆู„ุง ู…ุงููŠุด self loop ู„ุฃ ุชู‚ุฏุฑุด ุชุตู†ูู‡ุง ุงูŠุด
248
+
249
+ 63
250
+ 00:04:57,940 --> 00:05:03,600
251
+ direct ูˆู„ุง indirect ู„ุฃ ู„ุฃ ู„ุฃ ู‡ูŠ direct ู‡ุฐู‡
252
+
253
+ 64
254
+ 00:05:03,600 --> 00:05:06,480
255
+ directed graph ู„ูŠุด directed graph ู„ุฃู† ู‡ูŠ ููŠู‡ุง
256
+
257
+ 65
258
+ 00:05:06,480 --> 00:05:13,020
259
+ ุงุฌุฒุงุก ูˆุงุถุญ ุงุชุฌุงู‡ู‡ุงุงู„ุงุชุฌุงู‡ู‡ุง ูˆุงุถุญ ุทุจ ู…ุซุงู„ ุฎู„ุงุต
260
+
261
+ 66
262
+ 00:05:13,020 --> 00:05:16,300
263
+ ุงุชูุฌู†ุง ุงู† ุงู„ F ู‡ุฐู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ ุชุนุจุฑ ุนู† ุงู„ edges
264
+
265
+ 67
266
+ 00:05:16,300 --> 00:05:20,620
267
+ ู‡ุฐู‡ ูƒูˆูŠุณ ุฌุฏุด ุนุฏุฏู‡ุง ุจูŠู† ุงู„ vertices ุทูŠุจ ู„ูˆ ุฃุฎุฏู†ุง
268
+
269
+ 68
270
+ 00:05:20,620 --> 00:05:23,380
271
+ ู…ุซู„ุง ุงู„ web pages ุงู„ web pages ูˆ ู‡ูŠ ุงู†ุช ุนุงู…ู„
272
+
273
+ 69
274
+ 00:05:23,380 --> 00:05:26,840
275
+ hyperlinks ุงู†ุช ู…ู…ูƒู† ุชุนู…ู„ ู…ู† ู†ูุณ ุงู„ุตูุญุฉ ุงุชู†ูŠู†
276
+
277
+ 70
278
+ 00:05:26,840 --> 00:05:29,890
279
+ hyperlink ู„ุตูุญุฉ ุชุงู†ูŠุฉุจุณ ู‡ู„ ุจุชุถุฑูˆุฑ ุงู„ุตูุญุฉ ุงู„ุชุงู†ูŠุฉ
280
+
281
+ 71
282
+ 00:05:29,890 --> 00:05:33,630
283
+ ุชุฑุฌุนูƒ ุนู„ู‰ ุงู„ุตูุญุฉ ุงู„ุฃูˆู„ู‰ุŸ ู…ุงุญุฏุด ุฌุงู„ .. ุงู†ุช ุนู…ู„ุชู„ูƒ
284
+
285
+ 72
286
+ 00:05:33,630 --> 00:05:38,770
287
+ web page ุงู„ web page ู‡ุฐู‡ ุนุงู…ู„ ููŠู‡ุง ุดูˆูŠุฉ ู…ุนู„ูˆู…ุงุช
288
+
289
+ 73
290
+ 00:05:38,770 --> 00:05:43,150
291
+ ูƒูˆูŠุณุฉ ูˆ ุญู„ูˆุฉ ูˆ ุนุงู…ู„ hyperlink ู„ุญุงุฌุฉ ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ
292
+
293
+ 74
294
+ 00:05:43,150 --> 00:05:46,410
295
+ ุจุงู„ูˆูƒูŠุจูŠุฏูŠุง ู…ุง ู‡ูŠ ุงู„ู…ุฑุฌุญ ุงู„ุฃุณุงุณูŠ ุงู„ู„ูŠ ูƒู„ ุงู„ุทู„ุงุจ
296
+
297
+ 75
298
+ 00:05:46,410 --> 00:05:51,450
299
+ ุตุงุฑุชู‡ุง ุงู„ุฃูŠุงู… ุตุญูŠุญ ุจุทู„ ูˆู„ุง ุจุฏู‡ู… ูƒุชุจ ูˆู„ุง ุจุฏู‡ู… ู…ุฐุงุจ
300
+
301
+ 76
302
+ 00:05:51,450 --> 00:05:54,390
303
+ .. ู…ุฐุงุจ ูƒุฑู‡ ูˆู„ุง ุจุฏู‡ู… ุญุงุฌุฉ .. ู‡ูŠ ุงู„ูˆูƒูŠุจูŠุฏูŠุง ุฃูŠุด ู…ุง
304
+
305
+ 77
306
+ 00:05:54,390 --> 00:05:58,360
307
+ ุจุชู‚ูˆู„ ู…ุนู†ุงุชู‡ ุตุญุชู…ุงู… ูุงู†ุช ุนู…ู„ุชู„ูƒ link ุนู„ู‰ ุงู„
308
+
309
+ 78
310
+ 00:05:58,360 --> 00:06:02,560
311
+ wikipedia ู„ูƒู„ู…ุฉ ู…ุซู„ุง computer ุจุฏูƒ ุชุนุฑููŠ ุงู„
312
+
313
+ 79
314
+ 00:06:02,560 --> 00:06:05,700
315
+ computer ูุนู…ู„ุชู„ู‡ุง link ุจุนุฏ ุดูˆูŠุฉ ู„ุชุญุช ูƒู…ุงู† ูƒู„ู…ุฉ
316
+
317
+ 80
318
+ 00:06:05,700 --> 00:06:08,560
319
+ computer ูˆ ุฑูˆุญุช ุนู…ู„ุชู„ู‡ุง ูƒู…ุงู† link ู‡ุงูŠ ุตุงุฑ ุงูŠุดุŸ ู‡ุงูŠ
320
+
321
+ 81
322
+ 00:06:08,560 --> 00:06:13,060
323
+ multi ุจุณ ู‡ู„ ู…ุง ุงู†ุงุฏู„ูƒ ุงู† ุงู„ wikipedia ุฑุฌุนู„ูƒ ุนู…ู„ุงู„ูƒ
324
+
325
+ 82
326
+ 00:06:13,060 --> 00:06:16,540
327
+ ุจุงู„ุนูƒุณ ู…ุงุฎุฏุฉ ู…ู†ูƒ ุงูˆ ุนู…ู„ุงู„ูƒ hyperlink ู„ุตูุญุชูƒ ู…ุด
328
+
329
+ 83
330
+ 00:06:16,540 --> 00:06:20,240
331
+ ุจุงู„ุถุฑูˆุฑูŠ ูู‡ู†ุง directed okay ุงู†ุช ู…ู…ูƒู† ุชุนู…ู„ ู…ู† ุตูุญุชูƒ
332
+
333
+ 84
334
+ 00:06:20,240 --> 00:06:24,900
335
+ ู„ุตูุญุชูƒุฒูŠ ู„ู…ุง .. ุฒูŠ ู„ู…ุง ุชุตู„ ู„ุขุฎุฑ ุงู„ุตูุญุฉ ุชุญุช ูˆ ุชุนู…ู„
336
+
337
+ 85
338
+ 00:06:24,900 --> 00:06:27,680
339
+ ู„ูƒ up ู…ุด ู‡ูŠูƒ ุจุชู„ุงู‚ูŠ ุงู„ุณู‡ู… ุจูŠุนู…ู„ูƒ up ุฅุฐุง ูƒุงู†ุช
340
+
341
+ 86
342
+ 00:06:27,680 --> 00:06:30,280
343
+ ุงู„ุตูุญุฉ ุทูˆูŠู„ุฉ ุงุนู…ู„ ุนู„ูŠู‡ุง ู…ุงู†ุช ุถุงู„ุชูƒ ููŠ ู†ูุณ ู…ูƒุงู†ูƒ
344
+
345
+ 87
346
+ 00:06:30,280 --> 00:06:38,420
347
+ ุงู†ุช ุถุงู„ูŠุช ููŠ ู†ูุณ ุงู„ุตูุญุฉ ุงู†ุช
348
+
349
+ 88
350
+ 00:06:38,420 --> 00:06:41,080
351
+ ุจุชุชูƒู„ู… ู‡ูŠูƒ ุนู† ุงู„ุญุงู„ุฉ ุงู„ุฎุงุตุฉ ู„ุง ุงู„ self loop ู„ุญุงู„ู‡
352
+
353
+ 89
354
+ 00:06:41,080 --> 00:06:45,920
355
+ ุงู„ self loop ู„ุญุงู„ู‡ in generalุงู†ุช ู„ู…ุง ุจุชุชูƒู„ู… ุจุดูƒู„
356
+
357
+ 90
358
+ 00:06:45,920 --> 00:06:48,820
359
+ ู…ุฎุตุต ูƒุชูŠุฑ ุงู†ุช ุงู„ู„ูŠ ุจุชุญูƒูŠู‡ ู„ูƒู† in general ุจู‚ุฏุฑุด
360
+
361
+ 91
362
+ 00:06:48,820 --> 00:06:53,080
363
+ ุงู‚ูˆู„ ูƒู„ุงู…ูƒ ู„ูŠุดุŸ ู„ุฃู†๏ฟฝ๏ฟฝ ุจุจุณุงุทุฉ ุฌุฏุง ุฎู„ูŠู†ูŠ ุงูุชุฑุถ ุงู†ู‡
364
+
365
+ 92
366
+ 00:06:53,080 --> 00:06:56,700
367
+ ุงู†ุง ุจุฏูŠ ุงุทู„ุน ู…ู† .. ู…ู† ูˆูŠู† ุจุฏู†ุง ู†ุทู„ุนุŸ ุฎู„ูŠู†ูŠ ุงู‚ูˆู„
368
+
369
+ 93
370
+ 00:06:56,700 --> 00:07:01,160
371
+ ุจุฏู†ุง ู†ุทู„ุน ู…ู† .. ุงูŠุด ุงุณู… ู‡ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ ู‡ู†ุงูƒ ู…ู†
372
+
373
+ 94
374
+ 00:07:01,160 --> 00:07:06,280
375
+ ู…ุนุณูƒุฑ ุงู„ุดุงุทุฆ ุนู„ู‰ ุงู„ุจุญุฑ ูƒูˆูŠุณุŸ ุงู†ุง ู…ุฒู„ุช ููŠ ุบุฒุฉ ูˆู…ุดูŠุช
376
+
377
+ 95
378
+ 00:07:06,280 --> 00:07:09,820
379
+ ุงู„ุจุญุฑ ู‡ุฐุง ูˆ ุงู„ุจุญุฑ ู‡ุฐุง ุณูƒุฑู‡ ู„ุงุชุฌุงู‡ ุงู„ุนูƒุณ ุชุจุนู‡ ูุงู†ุง
380
+
381
+ 96
382
+ 00:07:09,820 --> 00:07:14,120
383
+ ู…ุงุดูŠ ููŠ ุงุชุฌุงู‡ ูˆุงุญุฏุตุญุŸ ู‡ูŠ ุงุชุฌุงู‡ ูˆุงุญุฏ ู…ุงุดูŠ ููŠู‡ ูˆุถู„ุชูƒ
384
+
385
+ 97
386
+ 00:07:14,120 --> 00:07:17,660
387
+ ู…ุงุดูŠ ููŠู‡ ูˆ ุนู†ุฏ ุชู„ ุงู„ู‡ูˆู‰ ุฑุฌุนุช ุฏุฎู„ุช ุนู„ู‰ ุบุฒุฉ ุงู†ุช ุทู„ุนุช
388
+
389
+ 98
390
+ 00:07:17,660 --> 00:07:21,740
391
+ ู…ู† ุงู„ู…ุฏูŠู†ุฉุŸู…ุงุทู„ุนุชุดุŒ ุทูŠุจ ุงู„ self-loop ู‡ุฐุง ุงู„ู„ูŠ ุงู†ุช
392
+
393
+ 99
394
+ 00:07:21,740 --> 00:07:24,340
395
+ .. ุงู„ู„ูŠ ูŠุนุชุจุฑ self-loop ู‡ูŠูƒ ุตุญุŸ ู‡ุฐุง self-loop
396
+
397
+ 100
398
+ 00:07:24,340 --> 00:07:30,860
399
+ ูˆุงุถุญุŒ ู‡ู„ ู‡ูˆ undirectedุŸ ุฃูƒูŠุฏุŒ ุฃูƒูŠุฏ directedุŒ ู„ูŠุดุŸ
400
+
401
+ 101
402
+ 00:07:30,860 --> 00:07:33,500
403
+ ุฎุตูˆุตุง ุฒูŠ ู…ุง ู‚ู„ุชู„ูƒ ุจูŠุนู…ู„ูˆุง ุฃุนู…ุงู„ ุตูŠุงู†ุฉ ูˆู„ุง ุฅุดูŠ ูู‡ู…
404
+
405
+ 102
406
+ 00:07:33,500 --> 00:07:38,060
407
+ ุณูƒุฑูˆุง ุงู„ุฑุฌุนุฉุŒ ุงู†ุช ุฑุงูŠุญ ุจุณ ููŠ ุงุชุฌุงู‡ ูˆุงุญุฏุŒ ุทุจ ู‡ูŠุŒ
408
+
409
+ 103
410
+ 00:07:38,060 --> 00:07:42,610
411
+ ุฑุบู… ุฃู† ู‡ูˆ self-loopุŒ ูˆุนู„ู‰ ู…ุซุงู„ ูˆุงู‚ุน ุญู‚ูŠู‚ูŠุนู„ู‰ ู…ุซู„
412
+
413
+ 104
414
+ 00:07:42,610 --> 00:07:45,770
415
+ ูˆุงู‚ุนูŠ ุนู„ู‰ ู…ุฏู† ุงู„ู„ูŠ ู‡ูˆ ุนุงุฏุฉ ุจูŠุณู…ูˆู‡ ุจุฑุง ุงู„ุทุฑูŠู‚
416
+
417
+ 105
418
+ 00:07:45,770 --> 00:07:48,810
419
+ ุงู„ุฏุงุฆุฑูŠ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ู†ูุณ ุงู„ุจู„ุฏ ู„ู†ูุณ ุงู„ุจู„ุฏ ุฅุฐุง ูƒุงู†ุช
420
+
421
+ 106
422
+ 00:07:48,810 --> 00:07:52,410
423
+ ุงู„ู…ุฏูŠู†ุฉ ูƒุจูŠุฑุฉ ุนุงุฏุฉ ุจุฑุง ุจูŠุนู…ู„ูˆู„ู‡ู… ุฌุณูˆุฑ ุงู„ู„ูŠ ู‡ูŠ
424
+
425
+ 107
426
+ 00:07:52,410 --> 00:07:57,110
427
+ ุงู„ู…ุญูˆุฑ ุงู„ู…ุญูˆุฑูŠ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุฃูˆู„ ู…ู† ุดุฑู‚ ุงู„ู…ุฏูŠู†ุฉ ู„ุบุฑุจ
428
+
429
+ 108
430
+ 00:07:57,110 --> 00:07:59,770
431
+ ุงู„ู…ุฏูŠู†ุฉ ู…ุซู„ุง ุจูŠุนู…ู„ูƒ ุทุฑูŠู‚ ุฎุงุฑุฌูŠ ุจุฏู„ ู…ุง ุชุฏุฎู„ ููŠ ู†ูุณ
432
+
433
+ 109
434
+ 00:07:59,770 --> 00:08:01,990
435
+ ุงู„ุจู„ุฏ ุฅุฐุง ุฃู†ุช ููŠู‡ ุฏู‡ ุจูŠุชุทู„ุน ู…ู† ุงู„ุทุฑู ู„ู„ุทุฑู ู‡ุฐุง
436
+
437
+ 110
438
+ 00:08:01,990 --> 00:08:05,310
439
+ ู…ู…ูƒู† ุฌุฏุง ูŠูƒูˆู† ุนุงู…ู„ูƒ ุทุฑูŠู‚ูŠู† ูˆุงุญุฏ ุฑุงูŠุญ ูˆุงุญุฏ ุฌุงูŠ ุจุณ
440
+
441
+ 111
442
+ 00:08:05,310 --> 00:08:10,170
443
+ ูู…ุนู†ู‰ ุฐู„ูƒ ูƒู„ ุทุฑูŠู‚ ู‡ูˆ directed graphุงู†ุช ุงู„ู„ูŠ ุจุชุญูƒูŠ
444
+
445
+ 112
446
+ 00:08:10,170 --> 00:08:13,070
447
+ ุนู†ู‡ุง ู‡ูŠ ุญุงู„ุฉ ุฎุงุตุฉ ุงู†ู‡ ูˆุงู„ู„ู‡ ู‡ู… ุงู„ุฃุซู†ูŠู† ู†ูุณ ุงู„ุทุฑูŠู‚
448
+
449
+ 113
450
+ 00:08:13,070 --> 00:08:17,290
451
+ okay ุจู‚ูˆู„ูƒ ุตุญ ู…ุด ู‡ุชูุฑู‚ ุจุณ ุงู†ุง ู…ุงุจู‚ุฏุฑ ุนุงู…ู„ ุงุญู†ุง
452
+
453
+ 114
454
+ 00:08:17,290 --> 00:08:20,230
455
+ ุงู„ุงู† ู†ุชูƒู„ู… ุจุงู„ุนู…ูˆู…ูŠุงุช ุงู„ุนู…ูˆู…ูŠุงุช ุงู† ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง
456
+
457
+ 115
458
+ 00:08:20,230 --> 00:08:25,630
459
+ directed multigraph okay ููŠู‡ ู‡ู„ ูˆุฌุฏ .. ุงูŠุด ุงู„ุฃู…ุซู„ุฉ
460
+
461
+ 116
462
+ 00:08:25,630 --> 00:08:28,190
463
+ ุงู„ู„ูŠ ุงู†ุช ุฎุทุฑุช ุนู„ู‰ ุจุงู„ูƒุŸ ู„ุฃ ู‡ูŠ .. ุงุญู†ุง ุจู†ุชูƒู„ู… in
464
+
465
+ 117
466
+ 00:08:28,190 --> 00:08:31,990
467
+ general ู‡ูŠ ู…ุซู„ุง ุงู„ web ุจุชุฎุชู„ู ุงู„ cities ุงู„ู„ูŠ ุชูˆูŠ
468
+
469
+ 118
470
+ 00:08:31,990 --> 00:08:34,710
471
+ ุดุฑุญุชู„ูƒูŠ ุฅูŠุงู‡ุง ู…ุซู„ุง ุงู†ุช ู‡ูŠูƒ ุทู„ุนุช ู…ู† ุบุฒุฉ ูˆ ุฑุฌุนุช ุน
472
+
473
+ 119
474
+ 00:08:34,710 --> 00:08:40,140
475
+ ุบุฒุฉู„ูƒู† ููŠ ุงู„ุทุฑูŠู‚ ููŠ ุฃุนู…ุงู„ ูุงู†ุช ุงู„ุทุฑูŠู‚ ู‡ูˆ ุฑุงูŠุญ ู…ุด
476
+
477
+ 120
478
+ 00:08:40,140 --> 00:08:45,340
479
+ ุฌุงูŠ ู…ุนู†ุงุชู‡ ุตุงุฑ directed ูˆุนู†ุง ุทุฑูˆุฌ ูƒุชูŠุฑุฉ ุชุนุชุจุฑ
480
+
481
+ 121
482
+ 00:08:45,340 --> 00:08:49,300
483
+ directed ููŠ ุบุฒุฉ ู…ุด ู‡ูŠูƒ ุนุงุฏุฉ ุจูŠู† ุงู„ูˆุญุฏุฉ ูˆ ุนู…ุฑูˆ
484
+
485
+ 122
486
+ 00:08:49,300 --> 00:08:52,500
487
+ ุงู„ู…ุฎุชุงุฑ ุจุชู„ุงู‚ูŠ ุงู„ุดุงุฑุน ูŠุง ุฑุงูŠุญ ูŠุง ุฌุงูŠ ูˆุงุญุฏ ุฑุงูŠุญ ูˆ
488
+
489
+ 123
490
+ 00:08:52,500 --> 00:08:54,320
491
+ ุงู„ู„ูŠ ุฌุงู†ุจู‡ ุฌุงูŠุŒ ูˆุงุญุฏ ุฑุงูŠุญ ูˆ ูˆุงุญุฏ ุฌุงู†ุจู‡ ุฌุงู†ุจู‡ ู…ุด
492
+
493
+ 124
494
+ 00:08:54,320 --> 00:08:55,280
495
+ ู‡ูŠูƒ directed
496
+
497
+ 125
498
+ 00:08:58,380 --> 00:09:10,800
499
+ ุทูŠุจ ูู‡ูŠ ู…ุซุงู„ ุนู„ู‰ ุงู„ multi-directed okay ูุถู„ ุงู‚ูˆู„ูƒ
500
+
501
+ 126
502
+ 00:09:10,800 --> 00:09:13,900
503
+ ู…ุจุณุงุทุฉ ุฌุฏุง ุงุญู†ุง ุงุชูˆุง ู‡ู†ุชูƒู„ู…ู†ุง ู…ุซู„ุง ุนู† ุงู„ู…ุฏู† ู‡ู„ูˆู‚ุช
504
+
505
+ 127
506
+ 00:09:13,900 --> 00:09:18,490
507
+ ู„ูˆ ุงุชูƒู„ู…ุช ุนู† ุงู„ุฌูˆุงู„ ูˆ ุงู†ุช ุจุฏูƒ ุชุนู…ู„ ุงู„ูˆุจุฏูƒ ุชุนู…ู„ ุงู„ูˆ
508
+
509
+ 128
510
+ 00:09:18,490 --> 00:09:26,050
511
+ ูˆ ุงู†ุช ู…ุงุดูŠ ู‡ู„ ุงู†ุช ุถุงู…ู† ุงู†ู‡ ู…ุด ู‡ูŠุตูŠุฑ ุนู†ุฏูƒ hangover
512
+
513
+ 129
514
+ 00:09:26,050 --> 00:09:31,270
515
+ ุจู…ุนู†ู‰ ุงู†ูƒ ุงู†ุช ุชุชุจุฏู„ ู…ู† ุดุจูƒุฉ ู„ุดุจูƒุฉ ุจุชุตูŠุฑ ูˆ ุงู†ุช
516
+
517
+ 130
518
+ 00:09:31,270 --> 00:09:34,890
519
+ ุจุชุชูƒู„ู… ุนุงุฏูŠ ุฌุฏุง ุทูŠุจ ุงู„ุญุงุฌุฉ ุงู„ุฃูˆุถุญ ู…ู†ู‡ุง ู„ู…ุง ุจุฏูƒ
520
+
521
+ 131
522
+ 00:09:34,890 --> 00:09:37,910
523
+ ุชุจุนุช message ูˆ ุงู„ message ุชุจุนุชูƒ ุทูˆู„ุช ุดูˆูŠุฉ ูŠุนู†ูŠ
524
+
525
+ 132
526
+ 00:09:37,910 --> 00:09:42,270
527
+ ูƒุจุฑุช ุญุฌู…ู‡ุง ุงูƒุชุฑ ู…ู† ุงู„ 64 character ุจุงู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉ
528
+
529
+ 133
530
+ 00:09:42,270 --> 00:09:45,990
531
+ ุงูˆ 128 ุจุงู„ู„ุบุฉ ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉุฒุงุฏุช ุนู† ู‡ูŠูƒ ู…ุด ุจูŠุฌุณู…ู„ูƒ
532
+
533
+ 134
534
+ 00:09:45,990 --> 00:09:50,050
535
+ ุฅูŠู‡ุง two SMS ุทูŠุจ ุงู„ two SMS ู‡ุฏูˆู„ ู„ู…ุง ูŠุจุนุชู‡ู… ู‡ู„ ู‡ู…ุง
536
+
537
+ 135
538
+ 00:09:50,050 --> 00:09:54,410
539
+ ุงู„ุชู†ุชูŠู† ุจูŠุฑูˆุญูˆุง ุจู†ูุณ ุงู„ pathุŸ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ .. ู…ุด
540
+
541
+ 136
542
+ 00:09:54,410 --> 00:09:58,350
543
+ ุจุงู„ุถุฑูˆุฑูŠ ู…ู…ูƒู† ูˆุงุญุฏุฉ ุงุชู„ุงู‚ูŠ path ูˆ ุงู„ traffic ุชุจุนู‡ุง
544
+
545
+ 137
546
+ 00:09:58,350 --> 00:10:02,070
547
+ ุนุงู„ูŠ .. ูƒุจูŠุฑ ูˆ ุงู„ุชุงู†ูŠุฉ ุฎู„ุงุต ู…ุฏุงู… ุนุฑูุช ุฃู†ู‡ ููŠ
548
+
549
+ 138
550
+ 00:10:02,070 --> 00:10:05,830
551
+ traffic ู…ุณุญูˆู… ููŠ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ุจุชุงุฎุฏ ุทุฑูŠู‚ ุชุงู†ูŠ ..
552
+
553
+ 139
554
+ 00:10:05,830 --> 00:10:10,490
555
+ ุจุชุงุฎุฏ ุทุฑูŠู‚ ุชุงู†ูŠ ู…ู† .. ุจูŠุณู…ูŠู‡ุง business station
556
+
557
+ 140
558
+ 00:10:10,490 --> 00:10:12,650
559
+ ุชุงู†ูŠุฉ ููŠ ุนู†ุฏูƒ business station ู‡ู†ุง ูˆ business
560
+
561
+ 141
562
+ 00:10:12,650 --> 00:10:15,380
563
+ station ู‡ู†ุง ูˆุงุญุฏุฉ ุทู„ุนุช ู‡ู†ุง ูˆุงุญุฏุฉ ุทู„ุนุช ู‡ู†ุงูˆุงู„ุชู†ุชูŠู†
564
+
565
+ 142
566
+ 00:10:15,380 --> 00:10:18,160
567
+ ุฑุงุญูˆุง ุนู„ู‰ ู†ูุณ ุงู„ุฌู‡ุงุฒุŒ ุงู„ุขู† ู„ูˆ ูˆุตู„ุช ุงู„ุชุงู†ูŠุฉ ุฌุงุจู„ูŠ
568
+
569
+ 143
570
+ 00:10:18,160 --> 00:10:20,440
571
+ ุงู„ุฃูˆู„ู‰ ุจุชุณุชู†ู‰ุŒ ูุงู†ุช ุจูŠุตู„ูƒ message ุจุงู„ system ู…ุด
572
+
573
+ 144
574
+ 00:10:20,440 --> 00:10:24,740
575
+ ุนุงุฑู ูŠูุชุญู‡ุงุŒ ุจูŠุตูŠุฑ ู…ุนุงูƒ .. ู„ู…ุง ุชุตู„ ุงู„ุฃูˆู„ู‰ ูˆ ูŠุนู…ู„
576
+
577
+ 145
578
+ 00:10:24,740 --> 00:10:28,300
579
+ reconstruction ุฅู„ูŠู‡ุงุŒ ุจุชูุชุญ ู…ุนุงูƒ ุงู„ messageุŒ ู‡ุฐุง
580
+
581
+ 146
582
+ 00:10:28,300 --> 00:10:32,100
583
+ ุจูŠุตูŠุฑ ูˆุงู‚ุนูŠ ูุนู„ูŠุงุŒ ู‡ูŠ multiุŒ ู‡ูŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ุญู„ุงุช
584
+
585
+ 147
586
+ 00:10:32,100 --> 00:10:35,700
587
+ ุงู„ู„ูŠ ุจุช .. ูˆุงุถุญุฉ ููŠู‡ุง ุฌุซุฉ ุงู„ multi .. ุฌุซุฉ ุงู„ multi
588
+
589
+ 148
590
+ 00:10:39,770 --> 00:10:44,310
591
+ ุชู…ุงู… ููƒุฌุฏูˆู„ ูŠุนู…ู„ summarization ุฎู„ู‘ูŠู†ุง ู†ุณู…ูŠู‡ุง ู†ู‚ูˆู„
592
+
593
+ 149
594
+ 00:10:44,310 --> 00:10:48,190
595
+ ููŠ ุนู†ุฏูŠ ุงู„ symbol ุจุชูƒู„ู…ู†ุง ู‡ูŠ undirected multi ู„ุฃ
596
+
597
+ 150
598
+ 00:10:48,190 --> 00:10:50,770
599
+ ู‡ูŠ ู…ุด multi self-loop ู„ุฃ ู‡ูŠ ู…ุด self-loop ุงู„
600
+
601
+ 151
602
+ 00:10:50,770 --> 00:10:54,860
603
+ multigraph ุชุจุนู‡ุง ู‡ูŠ undirectedูƒูˆูŠุณุŸ ู‡ุฐุง ุทุจุนุง ููŠ
604
+
605
+ 152
606
+ 00:10:54,860 --> 00:10:58,180
607
+ ู…ูŠู† ุงู„ multigraph ู„ .. ุงู„ symbol multigraphู‡ ุจุณ
608
+
609
+ 153
610
+ 00:10:58,180 --> 00:11:00,820
611
+ ุจุฏูˆู† ู…ุง ุงู‚ูˆู„ directed ุจุฏูˆู† ู…ุง ุงุญูƒูŠ ุงู† ู‡ูŠ directed
612
+
613
+ 154
614
+ 00:11:00,820 --> 00:11:04,900
615
+ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ automatically ุจุนุฑู ุงู† ู‡ูŠ undirected
616
+
617
+ 155
618
+ 00:11:04,900 --> 00:11:09,020
619
+ ููŠู‡ุง multi ุงู‡ ู‡ูŠ ุงุตู„ุง ุงุณู…ู‡ุง multi self-loop ู„ุฃ
620
+
621
+ 156
622
+ 00:11:09,020 --> 00:11:13,760
623
+ ุชู…ุงู… ุงู„ pseudo graph ู‡ูŠ undirected ู„ูƒู† ููŠู‡ุง multi
624
+
625
+ 157
626
+ 00:11:13,760 --> 00:11:18,460
627
+ ูˆ ููŠู‡ุง self-loop ุงู„ directed graph ู„ุฃ ู„ุงุฒู… ุงู…ูŠุฒ
628
+
629
+ 158
630
+ 00:11:18,460 --> 00:11:22,130
631
+ ูƒู„ู…ุฉ directed ุนุดุงู† ุงู‚ูˆู„ ุงู† ู‡ูŠ ูุนู„ุง directedุฅุฐุง ู…ุง
632
+
633
+ 159
634
+ 00:11:22,130 --> 00:11:25,250
635
+ ูƒุชุจุชุงุดุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ุจุชูƒู„ู… undirectedุŒ ู†ุชูƒู„ู…
636
+
637
+ 160
638
+ 00:11:25,250 --> 00:11:28,710
639
+ undirectedุŒ ุฃูˆูŠ ูƒูˆูŠุณุฉุŒ ู‡ู„ multiุŸ ู„ุฃุŒ ู‡ู„ selfุŸ ุฃู‡
640
+
641
+ 161
642
+ 00:11:28,710 --> 00:11:31,690
643
+ ู…ู…ูƒู† ุชูƒูˆู† selfุŒ ู directed ุจุชุงุฎุฏ selfุŒ directed
644
+
645
+ 162
646
+ 00:11:31,690 --> 00:11:34,570
647
+ ุจุชุงุฎุฏ self loop ุทูŠุจ directed multigraphุŒ okay
648
+
649
+ 163
650
+ 00:11:34,570 --> 00:11:38,450
651
+ ู…ุงูŠุงุฎุฏู‡ุง ุงู„ุฅุชู†ูŠู†ุŒ ู‡ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ุง multi ูˆ ู…ู…ูƒู†
652
+
653
+ 164
654
+ 00:11:38,450 --> 00:11:44,600
655
+ ูŠูƒูˆู† ููŠู‡ุง self loopุชู…ุงู… ู‡ุฐุง ูƒุงู†ุช ุฌุฒุฆูŠุฉ ุงู„ู„ูŠ ุถุงูŠู„ุฉ
656
+
657
+ 165
658
+ 00:11:44,600 --> 00:11:47,600
659
+ ู…ู† ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุนุดุงู† ู†ูƒูˆู† ุญุฏุฏู†ุง ู…ุฌู…ูˆุนุฉ ุฃู†ูˆุงุน ู…ู†
660
+
661
+ 166
662
+ 00:11:47,600 --> 00:11:51,420
663
+ ุฃู†ูˆุงุน ุงู„ุดุจูƒุงุช ุงู„ุขู† ุนุดุงู† ู†ูƒู…ู„ ุดุบู„ู†ุง ู…ุญุชุงุฌูŠู† ุดูˆูŠุฉ
664
+
665
+ 167
666
+ 00:11:51,420 --> 00:11:57,180
667
+ terminologyู†ุชูƒู„ู… ุนู†ู‡ุง ู„ู„ graphs ุฎุงุตุฉ ุจุงู„graphs
668
+
669
+ 168
670
+ 00:11:57,180 --> 00:12:01,080
671
+ ู†ูุณู‡ุง ูุงุญู†ุง ู†ุชูƒู„ู… ุนู† ู…ุฌู…ูˆุน ุงู„ terms ู…ุญุชุงุฌูŠู†ู‡ุง ุงู„
672
+
673
+ 169
674
+ 00:12:01,080 --> 00:12:05,400
675
+ adjacent ุงู„ connect ุงู„ connects ุงู„ end points ุงุด
676
+
677
+ 170
678
+ 00:12:05,400 --> 00:12:09,140
679
+ ูŠุนู†ูŠ degree ุงุด ุงู„ initial ุงู„ terminal ุทุจุนุง ุจุงู„ู†ุณุจุฉ
680
+
681
+ 171
682
+ 00:12:09,140 --> 00:12:12,460
683
+ ู„ู…ูŠู† ู„ู„ graph ุจุงู„ู†ุณุจุฉ ู†ุชูƒู„ู… ู‡ู†ุง ุนู† ุงู„ graph ู„ุฃู†
684
+
685
+ 172
686
+ 00:12:12,460 --> 00:12:14,780
687
+ ูƒู„ู…ุฉ terminal ูˆ initial ุงู†ุช ู‡ุชู„ุงู‚ูŠู„ู‡ุง ู…ุนุงู†ูŠ ูƒุชูŠุฑุฉ
688
+
689
+ 173
690
+ 00:12:14,780 --> 00:12:17,320
691
+ ูƒู„ ูˆุงุญุฏุฉ ุญุณุจ ุงู„ field ุงู„ู„ูŠ ุงู†ุช ุจุชุญูƒูŠ ููŠู‡ ูุงุญู†ุง
692
+
693
+ 174
694
+ 00:12:17,320 --> 00:12:21,130
695
+ ุงู„ุงู† ู†ุชูƒู„ู… ููŠ field ู„ู„ graphsุฅูŠุด ู…ุนู†ุงู‡ุง ููŠ graph
696
+
697
+ 175
698
+ 00:12:21,130 --> 00:12:24,930
699
+ ุถู…ู† ู…ูˆุถูˆุน ุงู„ graph ุงู„ out degree ูˆ ุงู„ in degree ุงู„
700
+
701
+ 176
702
+ 00:12:24,930 --> 00:12:27,470
703
+ ุฅูŠุด ุงู„ุฃู†ูˆุงุน ุจุชุงุนุฉ ุงู„ complete ู‡ูŠ ุฏูŠ ุจุฑุถู‡ ู‡ูŠ ู…ู†
704
+
705
+ 177
706
+ 00:12:27,470 --> 00:12:30,710
707
+ ุฃู†ูˆุงุน ู…ู† ุฃู†ูˆุงุน ุงู„ graphs ุฅูŠุด ูŠุนู†ูŠ complete ุฅูŠุด
708
+
709
+ 178
710
+ 00:12:30,710 --> 00:12:34,770
711
+ ูŠุนู†ูŠ cycles ุฅูŠุด ูŠุนู†ูŠ wheels ูˆ ุงู„ in cubes ูˆ ุงู„
712
+
713
+ 179
714
+ 00:12:34,770 --> 00:12:38,530
715
+ bipartate ุนุงุฑููŠู† ุฃุฎุฏู†ุงู‡ุง ุณุงุจู‚ุง ๏ฟฝ๏ฟฝุฑุฌุน ู†ุฃูƒุฏ ุนู„ูŠู‡ุง ุงู„
716
+
717
+ 180
718
+ 00:12:38,530 --> 00:12:44,820
719
+ sub graph ูˆ ุงู„ unionุซู… ุจู†ู†ุชู‚ู„ ุจุนุฏ ู‡ูŠูƒ ู„ู…ูˆุงุถูŠุน
720
+
721
+ 181
722
+ 00:12:44,820 --> 00:12:47,700
723
+ ุชุงู†ูŠุฉ ุจุฑุถู‡ ููŠ ุงู„ graphs ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠูƒูˆู† ุงู„ section
724
+
725
+ 182
726
+ 00:12:47,700 --> 00:12:51,500
727
+ ุงู„ู„ูŠ ูˆุฑุง ุงู„ adjacency ููŠ ุงู„ adjacency ุจูƒู„ ุจุณุงุทุฉ
728
+
729
+ 183
730
+ 00:12:51,500 --> 00:12:55,500
731
+ ุฅุฐุง ูƒุงู† ูˆุงู„ู„ู‡ ุนู†ุฏูŠ graph G ูˆู‡ุฐุง undirected graph
732
+
733
+ 184
734
+ 00:12:55,500 --> 00:13:01,080
735
+ ูˆููŠ ู…ุฌู…ูˆุนุฉ edges ูููŠ ุนู†ุฏูŠ edge set E ูŠุนู†ูŠ ู…ุนู†ุงู‡
736
+
737
+ 185
738
+ 00:13:01,080 --> 00:13:05,360
739
+ ุฐู„ูƒ ุฃู†ู‡ ููŠ ู…ุฌู…ูˆุนุฉ edges ุนู†ุฏูŠูˆูƒู„ edge ู‡ูŠ ุชู†ุชู…ูŠ ู„ู‡ุฐู‡
740
+
741
+ 186
742
+ 00:13:05,360 --> 00:13:08,640
743
+ ุงู„ set ูู…ุนู†ู‰ ุฐู„ูƒ small ุจุชุชูƒู„ู… ุนู† ุงู„ edge ุงู„ูˆุงุญุฏุฉ
744
+
745
+ 187
746
+ 00:13:08,640 --> 00:13:11,660
747
+ ุงู„ capital ุจุชุชูƒู„ู… ุนู† ุงู„ set of edges set of edges
748
+
749
+ 188
750
+ 00:13:11,660 --> 00:13:15,760
751
+ ู…ู…ุนู†ู‰ ุฃู†ู‡ ุฃูƒุชุฑ ู…ู† ู…ู† edge ูู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุดูƒู„ ุงู„ู…ุงุจ ููŠ
752
+
753
+ 189
754
+ 00:13:15,760 --> 00:13:18,400
755
+ ุงู„ู†ู‡ุงูŠุฉ ู‡ุฐู‡ ุจุชุดูƒู„ ุงู„ู…ุงุจ ู„ุฃู†ู‡ ุจู†ุงุก ุนู„ู‰ ุงู„ุฑุณู…ุฉ
756
+
757
+ 190
758
+ 00:13:18,400 --> 00:13:25,400
759
+ ุจุชุชุดูƒู„ ุงู„ู…ุงุจ ุจุชุชุดูƒู„ ุงู„ู…ุงุจ ู‡ุฐุง ู„ู…ู† ู„ U and V ูู‡ูŠ ู„
760
+
761
+ 191
762
+ 00:13:25,400 --> 00:13:31,280
763
+ ุงู„ pair U and V ูู‡ูŠ from U to V ูˆู…ุฏุงู…undirected
764
+
765
+ 192
766
+ 00:13:31,280 --> 00:13:37,400
767
+ from V to U ูุจุชู…ุดูŠ ุนู† ู†ุงุญูŠุชูŠู† ู…ุฏุงู… undirected ุทูŠุจ
768
+
769
+ 193
770
+ 00:13:37,400 --> 00:13:44,860
771
+ ุฅุฐุง ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุงู„ุขู† ู…ุฏุงู… ูู‡ู…ู†ุง ุงู„ุญุงู„ุฉ ู‡ูŠ ุนู†ุฏูŠ U ูˆู‡ูŠ
772
+
773
+ 194
774
+ 00:13:44,860 --> 00:13:52,340
775
+ ุนู†ุฏูŠ V ูˆู‡ูŠ ููŠ ุจูŠู†ู‡ู… E small e ุจูƒู„ ุจุณุงุทุฉ ุจู‚ูˆู„ you
776
+
777
+ 195
778
+ 00:13:52,340 --> 00:13:59,230
779
+ andV are adjacent ู…ุชุฌูˆุฑุชูŠู† ููŠ ู…ุฌุงูˆุฑุฉ ุจูŠู†ู‡ู… ูŠูˆุฌุฏ
780
+
781
+ 196
782
+ 00:13:59,230 --> 00:14:04,670
783
+ ู…ุฌุงูˆุฑุฉ ุฃูˆ neighbors ุจุฑุถู‡ ู…ุชุฌูˆุฑุชูŠู† ู‚ุฑูŠุจุงุช ู…ู† ุจุนุถ ููŠ
784
+
785
+ 197
786
+ 00:14:04,670 --> 00:14:10,130
787
+ link ุจูŠู†ู‡ู… ุงูˆ connected ู…ุชุตู„ุชูŠู† ู‡ูˆ ูˆุงุถุญ ุงู„ูƒู„ุงู… ูƒู„ู‡
788
+
789
+ 198
790
+ 00:14:10,130 --> 00:14:13,830
791
+ ูŠู†ุทุจู‚ ู…ุงุดูŠ ูุฅุฐุง ู…ุนู†ุงู‡ุง ุฃู†ู‡ ููŠ connection between
792
+
793
+ 199
794
+ 00:14:13,830 --> 00:14:19,010
795
+ them ุงู„ edge E is incident with vertices U and V
796
+
797
+ 200
798
+ 00:14:19,010 --> 00:14:27,070
799
+ ู…ุงู‚ูˆู„ุชุด from ู…ูŠู† ู„ู…ูŠู†ู‡ูŠ ุตุงุฏุฑุฉ ู…ู† ูƒู„ุงู‡ู…ุง ู…ู† U and V
800
+
801
+ 201
802
+ 00:14:27,070 --> 00:14:32,510
803
+ ุฎู„ุงุต ู…ุงู‚ู„ุชุด from two ูู‡ูŠ ู…ู† ู…ู† ู‡ุฏูŠ ู„ู‡ุฏูŠ ู…ู† ู‡ุฏูŠ
804
+
805
+ 202
806
+ 00:14:32,510 --> 00:14:36,310
807
+ ู„ู‡ุฏูŠ ู…ู…ุดูŠ ุงู„ุญู„ ุทูŠุจ ุงู„ edge E connects U and V
808
+
809
+ 203
810
+ 00:14:36,310 --> 00:14:42,590
811
+ ู…ู†ุทู‚ูŠ ุฌุฏุง ุทูŠุจ ุงู„ vertices U and V are in points of
812
+
813
+ 204
814
+ 00:14:42,590 --> 00:14:50,380
815
+ edge Eุงู„ุงุทุฑุงู ุจุชุงุนุฉ ู…ูŠู†ุŸ ุจุชุงุนุฉ E ุฃูƒูŠุฏ ู‡ุฐุง ุทุฑู ุฃูˆู„
816
+
817
+ 205
818
+ 00:14:50,380 --> 00:14:54,120
819
+ ุฃูˆ ุชุงู†ูŠ ุจุนุฑูุด ู‡ูˆ ุทุฑูู‡ ุฎู„ุงุต ู„ุฃู†ู‡ undirected ุฃู†ุง ู…ุด
820
+
821
+ 206
822
+ 00:14:54,120 --> 00:14:57,500
823
+ ุนุงุฑู ู‡ูˆ ุงู„ุฃูˆู„ ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู‡ูˆ ุจุฏุงูŠุชู‡ ูˆ ู„ุง ู†ู‡ุงูŠุชู‡
824
+
825
+ 207
826
+ 00:14:57,500 --> 00:15:00,940
827
+ ุฃู†ุง ู…ุงุนุฑูุด ุงู„ู„ูŠ ู‡ู… .. ุงู„ู…ู‡ู… ุงู„ู„ูŠ ู‡ูˆ end point ูˆ ุจุณ
828
+
829
+ 208
830
+ 00:15:00,940 --> 00:15:04,900
831
+ ู†ู‚ุทุฉ .. ู†ู‚ุทุฉ ุทุฑููŠุฉ ูˆ ุฎู„ุงุต ูˆ ุงู„ V ู†ูุณ ุงู„ูƒู„ุงู… ูˆ ุงู„ V
832
+
833
+ 209
834
+ 00:15:04,900 --> 00:15:10,740
835
+ ู†ูุณ ุงู„ูƒู„ุงู… ูู‡ุฐู‡ ู…ุตุทู„ุญุงุช ู„ุงู„ undirected ุทูŠุจ ุงู„
836
+
837
+ 210
838
+ 00:15:10,740 --> 00:15:14,560
839
+ degreeุงู„ู€ degree of vertex a certain vertex ู„ู€
840
+
841
+ 211
842
+ 00:15:14,560 --> 00:15:18,240
843
+ vertex ู…ุนูŠู†ุฉ ูƒูŠู ุจุญุณุจ ุงู„ degree ุจุชุงุนุชู‡ุง ุฏุฑุฌุชู‡ุง ู„ูˆ
844
+
845
+ 212
846
+ 00:15:18,240 --> 00:15:21,340
847
+ ุงูุชุฑุถ ุงู† ุนู†ุฏูŠ ุจุฑุถู‡ undirected graph ูˆ small v
848
+
849
+ 213
850
+ 00:15:21,340 --> 00:15:25,300
851
+ ู…ุนู†ุงุชู‡ ุงู†ุง ุจุชูƒู„ู… ุนู† vertex ูˆุงุญุฏุฉ ู…ู† ุงู„ set of
852
+
853
+ 214
854
+ 00:15:25,300 --> 00:15:29,580
855
+ vertices ุงู„ู„ูŠ ู‡ูˆ ุงู„ capital V ูู‡ูŠ ุนุจุงุฑุฉ ุนู† vertex
856
+
857
+ 215
858
+ 00:15:29,580 --> 00:15:34,700
859
+ ูˆ ุงู„ degree ู„ู‡ุง ุจุณู…ูŠู‡ุง degree of v small ุทุจุนุง
860
+
861
+ 216
862
+ 00:15:34,700 --> 00:15:40,800
863
+ small v ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุนุฏุฏ ุงู„ incident edgesุนุฏุฏ ุงู„
864
+
865
+ 217
866
+ 00:15:40,800 --> 00:15:44,360
867
+ incident edges ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ู‡ู†ุง ููŠู‡ุง
868
+
869
+ 218
870
+ 00:15:44,360 --> 00:15:49,600
871
+ ุงู†ุฏูŠ ูƒู…ุงู† ู†ูุชุฑุถ z ุฃูˆ ุงูŠ ุงุด ุชุงู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ ู†ูุชุฑุถ
872
+
873
+ 219
874
+ 00:15:49,600 --> 00:15:54,220
875
+ ู‡ูŠู‡ุง ุญุงุฌุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ู…ุนู†ุงู‡ ุฐู„ูƒ ู„ู…ุง ุจู‚ูˆู„ you ุงู„
876
+
877
+ 220
878
+ 00:15:54,220 --> 00:15:59,400
879
+ degree ุจุชุงุนุชู‡ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุฌุฏุงุด ุงู„ edges ุงู„ู„ูŠ ู…ุชุตู„ุฉ
880
+
881
+ 221
882
+ 00:15:59,400 --> 00:16:03,800
883
+ ููŠู‡ุง ุฌุฏุงุด ุงู„ edges ุงู„ู„ูŠ ูˆุตู„ุงู‡ุง ุงูˆ ู‡ูŠ end points
884
+
885
+ 222
886
+ 00:16:03,800 --> 00:16:09,390
887
+ ู„ุฃูƒู… edgeุฏู‡ ุฃูƒู… H ุญูˆุงู„ูŠู‡ุง ุชู…ุงู… ูู‡ุฐู‡ ุจูƒู„ ุจุณุงุทุฉ ุงู„
888
+
889
+ 223
890
+ 00:16:09,390 --> 00:16:13,250
891
+ degree ู„ .. ู„ ุงู„ V ุงุญู†ุง ุนู…ู„ู†ุงู‡ุง ู„ ุงู„ V ุจุฏู„ ุงู„ U ู…ุด
892
+
893
+ 224
894
+ 00:16:13,250 --> 00:16:17,370
895
+ ู…ุดูƒู„ุฉ ู„ V ุงูˆ ู„ .. ู„ U ุทูŠุจ ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏูƒ self
896
+
897
+ 225
898
+ 00:16:17,370 --> 00:16:22,170
899
+ loop ู‡ูŠู‡ุง ู†ุญุณุจู‡ุง
900
+
901
+ 226
902
+ 00:16:22,170 --> 00:16:27,800
903
+ ุงุชู†ูŠู† ู‡ูŠ ูˆุงุญุฏุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉundirected ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†
904
+
905
+ 227
906
+ 00:16:27,800 --> 00:16:30,860
907
+ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ ูˆู‡ุฐู‡ ุทุฑูŠู‚ุฉ ูˆู‡ุฐู‡ ุทุฑูŠู‚ุฉ ููŠ ุนู†ุฏู‰ ุชู„ุงุชุฉ ูู‡ู†ุง
908
+
909
+ 228
910
+ 00:16:30,860 --> 00:16:34,200
911
+ ุจุชุตูŠุฑ ุงู„ degree ุจุชุงุนุชู‡ุง ุชู„ุงุชุฉ ุทูŠุจ ุงู„ vertex with
912
+
913
+ 229
914
+ 00:16:34,200 --> 00:16:41,400
915
+ degree zero ุจู†ุณู…ูŠู‡ุง isolated ุตุญ ู…ู†ูุตู„ุฉ ู‡ุงูŠู…ุนู„ุฌุฉ ุทุจ
916
+
917
+ 230
918
+ 00:16:41,400 --> 00:16:46,480
919
+ ุฌุฏุงุด ุงู„ degree ุจุชุงุน ุงู„ zero ูู‡ูŠ isolated ู…ู†ูุตู„ุฉ
920
+
921
+ 231
922
+ 00:16:46,480 --> 00:16:52,780
923
+ ู…ูุตูˆู„ุฉ ุนู† ุงู„ุจุงู‚ูŠ ุงู…ุง ุงุฐุง ูƒุงู†ุช ูƒูŠู ุงู‡ ุทุจุนุง ู‡ูŠ ุชู†ุชู…ู„
924
+
925
+ 232
926
+ 00:16:52,780 --> 00:16:57,990
927
+ ุงู„ graph ุงู‡ ุชู†ุชู…ู„ ุงู„ graphุตุงุฑ ุนู†ุฏูƒ ุงู†ู‡ูŠุงุฑ ู…ุนูŠู† ููŠ
928
+
929
+ 233
930
+ 00:16:57,990 --> 00:17:02,550
931
+ ุจู„ุฏ ูˆ ู‚ุฑูŠุฉ ุงูˆ ู…ุฏูŠู†ุฉ ุงู†ู‚ุทุน ุงู„ุฎุท ุทุจุนู‡ุง ูˆ ุตุงุฑ ู„ุณู‡
932
+
933
+ 234
934
+ 00:17:02,550 --> 00:17:04,970
935
+ ุจุฏู‡ู… ูŠุนู…ู„ูˆุง ุฅุตู„ุงุญุงุช ูˆ ุจุฏู‡ู… ุณุช ุดู‡ูˆุฑ ู‡ู… ุจูŠุตู„ุญูˆุง ู‡ู„
936
+
937
+ 235
938
+ 00:17:04,970 --> 00:17:07,930
939
+ ู…ุนู†ู‰ ุฐู„ูƒ ุงุชุจูŠุญู‡ุง ู…ู† ุงู„ุจู„ุฏุŸ ู„ุฃ ู…ุง ู‡ูŠ ู…ู†ุชู…ูŠุฉ ู…ุง ุฒุงู„ุช
940
+
941
+ 236
942
+ 00:17:07,930 --> 00:17:12,050
943
+ ู„ู„ุจู„ุฏ ู‡ูŠ ู…ุง ุฒุงู„ุช ุฌุฒุก ู…ู†ูƒูˆุง ุฌุฒุก ู…ู† ุงู„ .. ุงู„ .. ุงู„
944
+
945
+ 237
946
+ 00:17:12,050 --> 00:17:15,510
947
+ graph ุฃูˆ ู…ู† ุงู„ map ู‡ูŠ ู…ุง ุฒุงู„ุช ุฌุฒุก ู…ู† ุงู„ map ู…ุง
948
+
949
+ 238
950
+ 00:17:15,510 --> 00:17:18,590
951
+ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ู„ุฃ ู„ุฃ ู„ุฃ ู‡ุฐูŠ ุจุฑุฉ ู†ุงุฆูŠุฉ ู…ุนู†ุงุชู‡ ุจุฏูŠุด ูŠุงู‡ุง
952
+
953
+ 239
954
+ 00:17:18,590 --> 00:17:23,150
955
+ ู…ุนู†ุงุชู‡ ูƒุงู† ูƒู„ ู‚ูˆุฑุงู†ุฉ ู†ุงุฆูŠุฉ ููŠ ุฏูˆู„ ุงู„ุนุฑุจูŠุฉ ูƒุงู†
956
+
957
+ 240
958
+ 00:17:23,150 --> 00:17:27,790
959
+ ุจูŠู‚ู†ู‡ุง ูŠุนู†ูŠ ู„ุฃุจุชุธู„ ู…ูˆุฌูˆุฏุฉ ู…ุน ุงู„ graph ุทูŠุจ ุงู„
960
+
961
+ 241
962
+ 00:17:27,790 --> 00:17:33,350
963
+ vertex of degree one ุจู†ุณู…ูŠู‡ุง pendent ู…ุนู„ู‚ุฉ ุฒูŠ ..
964
+
965
+ 242
966
+ 00:17:33,350 --> 00:17:35,630
967
+ ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ
968
+
969
+ 243
970
+ 00:17:35,630 --> 00:17:35,830
971
+ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ ..
972
+
973
+ 244
974
+ 00:17:35,830 --> 00:17:38,850
975
+ ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ
976
+
977
+ 245
978
+ 00:17:38,850 --> 00:17:42,290
979
+ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ ..
980
+
981
+ 246
982
+ 00:17:42,290 --> 00:17:42,930
983
+ ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ
984
+
985
+ 247
986
+ 00:17:42,930 --> 00:17:42,930
987
+ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ ..
988
+
989
+ 248
990
+ 00:17:42,930 --> 00:17:42,930
991
+ ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ
992
+
993
+ 249
994
+ 00:17:42,930 --> 00:17:52,590
995
+ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒูŠ .. ุฒุชู…ุงู… ุทูŠุจ ุงู„ hand
996
+
997
+ 250
998
+ 00:17:52,590 --> 00:17:57,650
999
+ shaking theorem ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุฌุฏุงุด ู…ุฌู…ูˆุน ุงู„
1000
+
1001
+ 251
1002
+ 00:17:57,650 --> 00:18:02,130
1003
+ degrees ูƒู„ู‡ุง ุนู„ู‰ ุจุนุถ ูƒู„ ุงู„ degrees ูƒุงู…ู„ุฉ ู„ูƒู„ ุงู„
1004
+
1005
+ 252
1006
+ 00:18:02,130 --> 00:18:06,290
1007
+ vertices ุจุชุงุนุชู†ุง ู‡ู†ุฌุฏ ุงู† ู‡ูŠ ุงุชู†ูŠู† ู…ู† ุนุฏุฏ ุงู„ edges
1008
+
1009
+ 253
1010
+ 00:18:07,220 --> 00:18:10,800
1011
+ ุจูƒู„ ุจุณุงุทุฉ ุงุชู†ูŠู† ู…ู† ุนุฏุฏ ุงู„ edges ุชุจุนุชู†ุง ูู‡ุฏู‰ ุจู‚ุฏุฑ
1012
+
1013
+ 254
1014
+ 00:18:10,800 --> 00:18:14,320
1015
+ ุงู‚ูˆู„ ุงุฐุง ุจุชูƒู„ู… ุนู† undirected ุจุงู„ุงู†ูˆุงุน ูƒู„ู‡ุง ุงู„ู„ู‰
1016
+
1017
+ 255
1018
+ 00:18:14,320 --> 00:18:17,580
1019
+ ุฃุฎุฏู†ุงู‡ุง ู„ู„ undirected ุจูƒู„ ุจุณุงุทุฉ ุงู„ summation ู„
1020
+
1021
+ 256
1022
+ 00:18:17,580 --> 00:18:22,820
1023
+ degree V ูˆ V ู‡ุฏู‰ ุชู†ุชู…ูŠ ุงูˆ ูƒู„ small V ุชู†ุชู…ูŠ ู„ู„
1024
+
1025
+ 257
1026
+ 00:18:22,820 --> 00:18:26,320
1027
+ capital V ู„ู„ุณุช ูˆ vertices ููƒู„ vertex ู„ุญุงู„ู‡ุง ุฌุฏุด ุงู„
1028
+
1029
+ 258
1030
+ 00:18:26,320 --> 00:18:28,620
1031
+ degree ุงุฌู…ุนู‡ุง ู…ุน ุงู„ vertex ุงู„ุชุงู†ูŠุฉ ู…ุน ุงู„ vertex
1032
+
1033
+ 259
1034
+ 00:18:28,620 --> 00:18:33,460
1035
+ ุงู„ุชุงู„ุชุฉ ู…ุฌู…ูˆุญู‡ู… ูƒู„ู‡ู… ุนู„ู‰ ุจุนุถ ู‡ูŠุณุงูˆูŠ ุงุชู†ูŠู† ู…ู† ุงู„
1036
+
1037
+ 260
1038
+ 00:18:33,460 --> 00:18:40,540
1039
+ cardinalityof 6E capital E ู„ุฃู†ู‡ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ุฃู†ุง
1040
+
1041
+ 261
1042
+ 00:18:40,540 --> 00:18:45,500
1043
+ ุจุชูƒู„ู… ุนู† ุนุฏุฏ ุงู„ small e ุฌุฏุด ุนุฏุฏู‡ู… ุฏุงุฎู„ ุงู„ capital
1044
+
1045
+ 262
1046
+ 00:18:45,500 --> 00:18:49,640
1047
+ E ูุฅุฐุง ุนู†ุฏูŠ E1 ุนู†ุฏูŠ E2 ุนู†ุฏูŠ E3 ุฌุฏุด ุงู„ุนุฏุฏ ููŠ
1048
+
1049
+ 263
1050
+ 00:18:49,640 --> 00:18:52,240
1051
+ ุงู„ู†ู‡ุงูŠุฉ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ูŠ ุจุชูƒู„ู… ุนู† ุงู„ cardinality
1052
+
1053
+ 264
1054
+ 00:18:52,240 --> 00:18:56,280
1055
+ ู„ู…ุตููˆู ู„6 ุนุฏู‡ู… ู„ู…ุฌู…ูˆุนุชู‡ู… ูู‡ูŠ ุงู„ cardinality
1056
+
1057
+ 265
1058
+ 00:18:56,280 --> 00:18:59,040
1059
+ ู„ู„ู…ุฌู…ูˆุน ูู‡ุฐุง ู‡ุฐุง ู…ุด absolute ู‡ุฐุง ู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† ุงู„
1060
+
1061
+ 266
1062
+ 00:18:59,040 --> 00:19:00,080
1063
+ cardinality ู„6
1064
+
1065
+ 267
1066
+ 00:19:04,490 --> 00:19:09,510
1067
+ ุทูŠุจ ูƒุงุณุชู†ุชุงุฌ ู…ู† .. ู…ู†ู‡ุง ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฃู† ู…ุนู†ุงุชู‡ ู„ุฃูŠ
1068
+
1069
+ 268
1070
+ 00:19:09,510 --> 00:19:14,570
1071
+ undirected graph has an even number of vertices of
1072
+
1073
+ 269
1074
+ 00:19:14,570 --> 00:19:20,330
1075
+ odd degree ุจู…ุนู†ู‰ ู„ู…ุง ุฃุชูŠ ุฃุชุทู„ุน ู„ุฃูŠ graph ุฌุฏุงุด ุนุฏุฏ
1076
+
1077
+ 270
1078
+ 00:19:20,330 --> 00:19:26,810
1079
+ ุงู„ vertices ุงู„ู„ูŠ ุงู„ degree ุจุชุงุนุชู‡ู… odd ู‡ู„ุงุฌ๏ฟฝ๏ฟฝ ุนุฏุฏู‡ู…
1080
+
1081
+ 271
1082
+ 00:19:26,810 --> 00:19:30,350
1083
+ even ู…ู†ุทู‚ูŠุฉ
1084
+
1085
+ 272
1086
+ 00:19:30,350 --> 00:19:35,020
1087
+ ูƒุชูŠุฑ ูƒุชูŠุฑ ู„ูˆ ุฑูƒุฒู†ุง ููŠู‡ุงู„ูŠุดุŸ ุฃู†ุง ู‚ุงุนุฏ ุจุชูƒู„ู… ุฅู†ู‡
1088
+
1089
+ 273
1090
+ 00:19:35,020 --> 00:19:40,000
1091
+ ู…ุฌู…ูˆุน ุงู„ degrees ุงุชู†ูŠู† ูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู† ุฒูˆุฌูŠ ุตุญุŸ
1092
+
1093
+ 274
1094
+ 00:19:40,000 --> 00:19:44,040
1095
+ ู…ุฌู…ูˆุนู‡ู… ู„ุงุฒู… ูŠูƒูˆู† ุฒูˆุฌูŠ ูŠุนู†ูŠ ุฅุฐุง ููŠ ุญุงู„ุงุช ุงู„ degree
1096
+
1097
+ 275
1098
+ 00:19:44,040 --> 00:19:49,060
1099
+ ุจุชุงุนุชู‡ุง ูุฑุฏูŠ ู„ุงุฒู… ูŠูƒูˆู† ููŠ ูƒู…ุงู† vertex ุชุงู†ูŠุฉ ุจุฑุถู‡
1100
+
1101
+ 276
1102
+ 00:19:49,060 --> 00:19:54,500
1103
+ ูุฑุฏูŠ ุนุดุงู† ูŠูƒูˆู† ุงู„ู…ุฌู…ูˆุน ุฒูˆุฌูŠ ูู…ุฌู…ูˆุน ุงู„ degree
1104
+
1105
+ 277
1106
+ 00:19:54,500 --> 00:20:00,930
1107
+ ุจุชุงุนุชู‡ู… odd degree ู„ุงุฒู… ูŠูƒูˆู† ูƒุนุฏุฏ ุฒูˆุฌูŠุตุญุŸ ุนุดุงู† ู„ู…ุง
1108
+
1109
+ 278
1110
+ 00:20:00,930 --> 00:20:06,030
1111
+ ุฃุฌูŠ ุฃุฌู…ุน ูุนู„ุง ูŠู†ุทุจู‚ ู…ุน ุฃู†ู‡ 2 ููŠ ูƒุฐุง ุฃู†ุง ู…ุงุฃุชูƒู„ู…ุด
1112
+
1113
+ 279
1114
+ 00:20:06,030 --> 00:20:08,490
1115
+ ุนู† ุนุฏุฏ ุงู„ edges ุงู„ edges ูŠู…ูƒู† ูŠุทู„ุน ูุฑุฏูŠ ูˆ ู‡ูˆ ุญุฑ ุจุณ
1116
+
1117
+ 280
1118
+ 00:20:08,490 --> 00:20:11,130
1119
+ ุฃู†ุง ุฅูŠู‡ ุงู„ุนู„ุงู‚ุฉ ุจุงู„ total ุงู„ total ู…ุถุฑูˆู ููŠ 2 ูŠุนู†ูŠ
1120
+
1121
+ 281
1122
+ 00:20:11,130 --> 00:20:16,850
1123
+ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ ุฏุงุฆู…ุง ู‡ุฐู‡ ุฒูˆุฌูŠ ุตุญุŸ ู‡ู„ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡
1124
+
1125
+ 282
1126
+ 00:20:16,850 --> 00:20:19,190
1127
+ ุจุฏูŠ ุฃุฌูŠ ุฃู‚ูˆู„ ู‡ู‡ ู‡ุฐู‡ degree ุจุชุงุนุชู‡ุง ูˆุงุญุฏ ู„ุฃ ุจู†ูุนุด
1128
+
1129
+ 283
1130
+ 00:20:19,190 --> 00:20:22,250
1131
+ ุทุจ ู…ุงุฎู„ูŠู‡ุง odd ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ุจุณ ุฃู†ุช ุถุงู…ู† ุฃู† ุงู„ odd
1132
+
1133
+ 284
1134
+ 00:20:22,250 --> 00:20:25,690
1135
+ ู‡ุฐู‡ ููŠ odd ุชุงู†ูŠุฉ ู‡ุชุดุจุฑู‡ุง ุนุดุงู† ูŠุตูŠุจูˆุง ุฒูˆุฌูŠ ู…ุน ุจุนุถ
1136
+
1137
+ 285
1138
+ 00:20:25,690 --> 00:20:31,580
1139
+ ูˆุงุถุญุฉุŸู‡ูŠ ู…ุนู†ู‰ ุงู„ุงุดุชู‚ุงุก .. ุงูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ุธุฑูŠุฉ
1140
+
1141
+ 286
1142
+ 00:20:31,580 --> 00:20:35,400
1143
+ ุงู„ุฅุถุงููŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ุทู„ุนุช ู…ู† ูˆุฑุง ุงู„ู‚ุงู†ูˆู† ู‡ู„ูˆ ุงู†ุง
1144
+
1145
+ 287
1146
+ 00:20:35,400 --> 00:20:39,880
1147
+ ุชุนุงู„ู‰ ู†ุดูˆู ู‡ู†ุง ุนู†ุฏูƒ ูˆุงุญุฏ ูˆู‡ุฏูˆู„ุฉ ุงุชู†ูŠู† ุฎู„ูŠู†ูŠ ุงูƒุชุจู‡ู…
1148
+
1149
+ 288
1150
+ 00:20:39,880 --> 00:20:43,340
1151
+ ุงูŠุด ุงู„ุฃู„ูˆุงู† ุงู„ู„ูŠ ุถุงูŠู„ุฉ ู‡ู†ุง ูˆุงุญุฏ ู‡ู†ุง ุงุชู†ูŠู† ู‡ู†ุง
1152
+
1153
+ 289
1154
+ 00:20:43,340 --> 00:20:46,640
1155
+ ุงุชู†ูŠู† ู‡ู†ุง ุนู†ุฏูƒ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ู‡ุงูŠ ุงุฑุจุนุฉ
1156
+
1157
+ 290
1158
+ 00:20:46,640 --> 00:20:54,260
1159
+ ูˆู‡ูŠ ู‡ุฐู‡ ูˆุงุญุฏ ุดูˆููŠ ูƒุงู… ูˆุงุญุฏุฉ ูุฑุฏูŠุฉ ุชู†ุชูŠู† ูุฑุฏูŠุฉ ุฒูˆุฌูŠ
1160
+
1161
+ 291
1162
+ 00:20:54,260 --> 00:20:58,500
1163
+ ูŠุนู†ูŠ ุนุฏุฏู‡ู…ุนุงุฏุชู‡ู… ุฒูˆุฌูŠ ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ
1164
+
1165
+ 292
1166
+ 00:20:58,500 --> 00:21:07,680
1167
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู†
1168
+
1169
+ 293
1170
+ 00:21:07,680 --> 00:21:09,020
1171
+ ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง
1172
+
1173
+ 294
1174
+ 00:21:09,020 --> 00:21:10,160
1175
+ ุฃุฌู…ุน ูŠุทู„ุน ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน
1176
+
1177
+ 295
1178
+ 00:21:10,160 --> 00:21:12,240
1179
+ ูŠุทู„ุน ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน
1180
+
1181
+ 296
1182
+ 00:21:12,240 --> 00:21:12,820
1183
+ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ
1184
+
1185
+ 297
1186
+ 00:21:12,820 --> 00:21:13,420
1187
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ
1188
+
1189
+ 298
1190
+ 00:21:13,420 --> 00:21:13,420
1191
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ
1192
+
1193
+ 299
1194
+ 00:21:13,420 --> 00:21:14,180
1195
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ
1196
+
1197
+ 300
1198
+ 00:21:14,180 --> 00:21:17,300
1199
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ total ุนุดุงู† ุฃุถู…ู† ู„ู…ุง ุฃุฌู…ุน ูŠุทู„ุน ููŠ ุงู„ู†ู‡ุง
1200
+
1201
+ 301
1202
+ 00:21:21,650 --> 00:21:25,130
1203
+ ู‡ูŠ ูˆุงุญุฏ ู‡ูŠ ุงุชู†ูŠู† ู‡ูŠ ุชู„ุงุชุฉ ู‡ูŠ ุงุฑุจุนุฉ ู‡ูŠ ุฎู…ุณุฉ ุฎู…ุณุฉ ููŠ
1204
+
1205
+ 302
1206
+ 00:21:25,130 --> 00:21:31,530
1207
+ ุงุชู†ูŠู† ุนุดุฑุฉ ู‡ูŠ ุฎู…ุณุฉ ููŠ ุงุชู†ูŠู† ุนุดุฑุฉ ููุนู„ูŠุง ุงู„ edges
1208
+
1209
+ 303
1210
+ 00:21:31,530 --> 00:21:35,130
1211
+ ู…ุถุฑูˆุจุฉ ููŠ ุงุชู†ูŠู† ุจูŠุทู„ุน ู…ุฌู…ูˆุน ุงู„ total ู„ูƒู„ ุงู„
1212
+
1213
+ 304
1214
+ 00:21:35,130 --> 00:21:38,840
1215
+ degreesู„ุฃ ุงู„ vertices ุจุชุงุนุชู†ุง ุทูŠุจ ุงู„ directed
1216
+
1217
+ 305
1218
+ 00:21:38,840 --> 00:21:42,900
1219
+ graph ุงูˆ ุงู„ directed adjacency ูุงู„ adjacent ู„ุฃ ุงู„
1220
+
1221
+ 306
1222
+ 00:21:42,900 --> 00:21:45,280
1223
+ directed graph ู…ุงูƒุงู† ู‚ูˆู„ู†ุงู‡ adjacent ูˆ ู„ุฃ directed
1224
+
1225
+ 307
1226
+ 00:21:45,280 --> 00:21:50,200
1227
+ graph ูˆ ุฎู„ุงุต ู„ุงุฒู… ู†ุฌูŠุจ ุงู„ adjective ุชุจุนุชู‡ุง ุทูŠุจ G
1228
+
1229
+ 308
1230
+ 00:21:50,200 --> 00:21:54,780
1231
+ ุฅุฐุง ูƒุงู†ุช ูุนู„ุง directed ูˆ ู…ู…ูƒู† ุชูƒูˆู† ุญุชู‰ multi multi
1232
+
1233
+ 309
1234
+ 00:21:54,780 --> 00:21:58,340
1235
+ ุทุจุนุง ุงุญู†ุง ุนุงุฑููŠู† ู…ุนู†ุงุชู‡ ุงู† ููŠู‡ุง self loop multi
1236
+
1237
+ 310
1238
+ 00:21:58,340 --> 00:22:01,340
1239
+ ู…ุนู†ุงุชู‡ ููŠู‡ุง self loop ูƒูˆูŠุณ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู† ุฅุฐุง ูƒุงู† ู…ู†
1240
+
1241
+ 311
1242
+ 00:22:01,340 --> 00:22:04,880
1243
+ U to V U
1244
+
1245
+ 312
1246
+ 00:22:06,490 --> 00:22:17,930
1247
+ to V ููŠ ุงู„ุญู„ู‚ุฉ ุฏูŠ ุฅูŠุด ู†ู‚ุฏุฑ ู†ู‚ูˆู„ U is adjacent to V
1248
+
1249
+ 313
1250
+ 00:22:17,930 --> 00:22:26,090
1251
+ to V ุทูŠุจ ุฃูˆ V is adjacent from U ู from ู…ุนู†ุงุชู‡ ุฃู†ุง
1252
+
1253
+ 314
1254
+ 00:22:26,090 --> 00:22:30,670
1255
+ ุจุชูƒู„ู… ุนู† ู‡ุงูŠ ุงู„ุจุฏุงูŠุฉ to ู‡ุชูƒูˆู† ุงู„ู†ู‡ุงูŠุฉ ู‡ุชูƒูˆู†
1256
+
1257
+ 315
1258
+ 00:22:30,670 --> 00:22:39,400
1259
+ ุงู„ู†ู‡ุงูŠุฉ ุทูŠุจ E comes from UุตุญูŠุญุŸ E ู‡ูŠ ุฌุงูŠุฉ ู…ู† U
1260
+
1261
+ 316
1262
+ 00:22:39,400 --> 00:22:46,700
1263
+ ูุนู„ูŠุง ุทูŠุจ ูˆ ู‡ูŠ goes to V ู‡ูŠ ุฑุงูŠุญุฉ ู„ V ุทูŠุจ E
1264
+
1265
+ 317
1266
+ 00:22:46,700 --> 00:22:52,680
1267
+ connects U to V ูˆุงุถุญุฉ ูŠุนู†ูŠ ุญุชู‰ ูƒู„ ุงู„ู…ุตุทู„ุญุงุช ูˆุงุถุญ
1268
+
1269
+ 318
1270
+ 00:22:52,680 --> 00:22:57,440
1271
+ ููŠู‡ุง ุงู„ุงุชุฌุงู‡ ูˆุงุถุญ ููŠู‡ุง ุงู„ุงุชุฌุงู‡ E goes from U to V
1272
+
1273
+ 319
1274
+ 00:22:57,440 --> 00:23:05,520
1275
+ from U to V ุทูŠุจ ุงู„ .. the initial vertex of E is U
1276
+
1277
+ 320
1278
+ 00:23:06,380 --> 00:23:09,680
1279
+ ุตุญูŠุญุŸ ุงู„ vertex ุงู„ initial ุชุจุนุชู†ุง ุงู„ุจุฏุงูŠุฉ ุจุชุงุนุชู‡ุง
1280
+
1281
+ 321
1282
+ 00:23:09,680 --> 00:23:16,320
1283
+ ู‡ูŠ ุงู„ U ุทูŠุจ ุงู„ terminal vertex of E terminal
1284
+
1285
+ 322
1286
+ 00:23:16,320 --> 00:23:22,560
1287
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ V ู‡ูŠ ู†ู‡ุงูŠุฉ ุงู„ line ุชุจุนุชู†ุง ุฃูˆ ุงู„ุฎุท ุงู„ู„ูŠ
1288
+
1289
+ 323
1290
+ 00:23:22,560 --> 00:23:26,480
1291
+ ู‡ูˆ ุงู„ edge ุงู„ุชุงุนุชู†ุง ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูู‡ูŠ ุงู„ V ูŠู…ูƒู†
1292
+
1293
+ 324
1294
+ 00:23:26,480 --> 00:23:32,800
1295
+ ูˆุงุถุญุฉ ููŠ ูƒู„ ุงู„ู…ุตุทู„ุญุงุช ุงู„ direct ูˆุงุถุญุฉ ููŠู‡ุง ูƒุชูŠุฑุทูŠุจ
1296
+
1297
+ 325
1298
+ 00:23:32,800 --> 00:23:36,560
1299
+ ู†ุฌูŠ ู„ู€ degree ู„ูƒู„ vertex ู…ู† ุงู„ vertices ุงู„ู„ูŠ
1300
+
1301
+ 326
1302
+ 00:23:36,560 --> 00:23:39,320
1303
+ ู…ูˆุฌูˆุฏุฉ ูƒู„ vertex ู…ู† ุงู„ vertices ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง
1304
+
1305
+ 327
1306
+ 00:23:39,320 --> 00:23:45,520
1307
+ ู‡ู†ุง ู‡ูŠูƒูˆู† ููŠ ุฅู„ู‡ุง Nูˆ out ู„ุฃู† ุงู„ู„ูŠ ุฏุงุฎู„ ุบูŠุฑ ุงู„ู„ูŠ
1308
+
1309
+ 328
1310
+ 00:23:45,520 --> 00:23:49,160
1311
+ ุทุงู„ุน ุงู„ู„ูŠ ู‡ุชูƒูˆู† ุทุงู„ุน ุบูŠุฑ ุงู„ู„ูŠ ุฏุงุฎู„ ูุฅุฐู† ู‡ู†ุง
1312
+
1313
+ 329
1314
+ 00:23:49,160 --> 00:23:52,180
1315
+ ุจุงู„ู†ุณุจุงู„ู†ุง ู‡ู†ุง ู‡ุฐู‡ ุงู„ุทุงู„ุน ู‡ุชูƒูˆู† positive ู‡ุฐู‡
1316
+
1317
+ 330
1318
+ 00:23:52,180 --> 00:23:55,980
1319
+ ุงู„ุฏุงุฎู„ ู‡ุชูƒูˆู† negative ูู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† ุงู„ in degree
1320
+
1321
+ 331
1322
+ 00:23:55,980 --> 00:24:01,880
1323
+ of V ูู‡ูŠ ุนุฏุฏ ุงู„ edges going to V ูŠุนู†ูŠ ุฏุงุฎู„ุฉ V
1324
+
1325
+ 332
1326
+ 00:24:01,880 --> 00:24:06,240
1327
+ ู‡ุชูƒูˆู† ูƒู„ู‡ุง ุฏุงุฎู„ุฉ V ูุจู†ุณู…ูŠู‡ุง ุจุงู„ negative ุฃู…ุง ุงู„
1328
+
1329
+ 333
1330
+ 00:24:06,240 --> 00:24:13,620
1331
+ out degree ู„ุฃูŠ vertex VูƒูˆูŠุณ ู‡ูŠ ุนุฏุฏ ุงู„ .. ุงู„ edges
1332
+
1333
+ 334
1334
+ 00:24:13,620 --> 00:24:19,280
1335
+ ุงู„ู„ูŠ coming from V ูู‡ูŠ ุงู„ุทุงู„ุนุฉ ุฌุงูŠุฉ ู…ู† V ุทุงู„ุนุฉ ู…ู†
1336
+
1337
+ 335
1338
+ 00:24:19,280 --> 00:24:23,880
1339
+ V ูˆ ุฑุงูŠุญุฉ ู„ .. ู„ vertices ุชุงู†ูŠุฉ ุชู…ุงู… ุงู„ degree
1340
+
1341
+ 336
1342
+ 00:24:23,880 --> 00:24:28,960
1343
+ totally ู‡ูŠ ู…ุฌู…ูˆุน ุงู„ุฃุชู†ูŠู† ู‡ูŠ ู…ุฌู…ูˆุน ุงู„ุฃุชู†ูŠู† ุงู„ู„ูŠ
1344
+
1345
+ 337
1346
+ 00:24:28,960 --> 00:24:31,000
1347
+ ุทุงู„ุน ูˆ ุงู„ู„ูŠ ุฏุงุฎู„ ุชู…ุงู…
1348
+
1349
+ 338
1350
+ 00:24:35,620 --> 00:24:39,060
1351
+ ุงู„ุณุงู„ุจ ูˆุงู„ู…ูˆุฌุจ ูŠูƒูˆู† ุงู„ุนูƒุณ ู„ูŠุดุŸ ุงู„ู„ูŠ ุทุงู„ุน ู…ู†ู†ุง ูƒุงู†
1352
+
1353
+ 339
1354
+ 00:24:39,060 --> 00:24:44,280
1355
+ ูŠูƒูˆู† ุณุงู„ุจ ุจุณ ุฏุงุฎู„ ุงู„ู…ูˆุฌุจ ู„ุฃ ุงู†ุช ุจุงู„ุนูƒุณ ุงู†ุช ู…ูˆุฌุจ
1356
+
1357
+ 340
1358
+ 00:24:44,280 --> 00:24:51,600
1359
+ ู…ุนู†ุงุชู‡ ุทุงู„ุน ู…ู† ุนู†ุฏูƒ ู…ูˆุฌุจ ุทุงู„ุน ูƒู„ ุฅุด ู…ูˆุฌุจ ู‡ูŠู‡ ู‡ู†ุง
1360
+
1361
+ 341
1362
+ 00:24:51,600 --> 00:24:57,420
1363
+ ูู„ุฃ ุทุงู„ุน ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุฃู†ุช ุจุงู„ู†ุณุจุงู„ู‡ ู…ูˆุฌุจ ุฃู†ุช ู…ูˆุฌุจ
1364
+
1365
+ 342
1366
+ 00:24:57,420 --> 00:25:05,340
1367
+ ุฃู†ุช ู…ุดุนุน ุฃู†ุช ู…ูˆุฌุจ ู…ุนู†ุงุชู‡ ุฃู†ุช ู…ุดุนุน ุตุญุŸ ุฃู‡ fine
1368
+
1369
+ 343
1370
+ 00:25:06,890 --> 00:25:12,670
1371
+ ู…ุนู†ุงุชู‡ ู…ุดุนุฑุฉ ูุฅุฐุง ู‡ุฐู‡ ูƒู„ ุดูŠุก ุทุงู„ุน ู‡ูŠู‡ุง coming from
1372
+
1373
+ 344
1374
+ 00:25:12,670 --> 00:25:18,190
1375
+ V ุฌุงูŠ ู…ู† V ุทุงู„ุน ู…ู† V ู‡ูˆ ุฅูŠุฌุงุจูŠ ู…ูˆ ุฅูŠุฌุงุจูŠ ุฃู…ุง ุณู„ุจูŠ
1376
+
1377
+ 345
1378
+ 00:25:18,190 --> 00:25:24,250
1379
+ ุจูŠุงุฎุฏ ุจูŠุงุฎุฏ ุทูŠุจ ู…ุฌู…ูˆุญ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ุฃุซู†ูŠู† ุนู„ู‰ ุจุนุถ
1380
+
1381
+ 346
1382
+ 00:25:24,250 --> 00:25:29,810
1383
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ degree V ูƒ total ุทูŠุจ ุงู„ุขู† ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„
1384
+
1385
+ 347
1386
+ 00:25:29,810 --> 00:25:36,650
1387
+ ุฃู†ู‡ู…ุฌู…ูˆุน ูƒู„ ุงู„ู„ูŠ ุทุงู„ุน ุฃูƒูŠุฏ ููŠู‡ ููŠ ุงู„ู…ู‚ุงุจู„ vertex
1388
+
1389
+ 348
1390
+ 00:25:36,650 --> 00:25:40,710
1391
+ ุฃุฎุฏุชู‡ ู…ุนู†ุงู‡ ุฐู„ูƒ ู…ุฌู…ูˆุน ุงู„ู„ูŠ ุทุงู„ุน ู‡ูˆ ู†ูุณู‡ ู…ุฌู…ูˆุน ุงู„ู„ูŠ
1392
+
1393
+ 349
1394
+ 00:25:40,710 --> 00:25:46,210
1395
+ ุฏุงุฎู„ ูŠุนู†ูŠ ุงู„ degree ุฃูˆ ุงู„ in degree ุจุณุงูˆูŠ ุงู„ out
1396
+
1397
+ 350
1398
+ 00:25:46,210 --> 00:25:51,130
1399
+ degree ู‡ุฏูˆู„ ู…ุฌู…ูˆุญูˆุง ู…ุน ุจุนุถ ุทู„ุนูˆุง ู…ู† vertex ู…ุนูŠู†ุฉ
1400
+
1401
+ 351
1402
+ 00:25:51,130 --> 00:25:55,190
1403
+ ุจุณ ู‡ู… ุฃูƒูŠุฏ ุฑุงุญูˆุง ู„ vertex ุซุงู†ูŠุฉุตุญูŠุญุŸ ูุฌุฏุด ุงู„ total
1404
+
1405
+ 352
1406
+ 00:25:55,190 --> 00:26:00,010
1407
+ ูƒู…ุฌู…ูˆุน ุงู„ in ุจูŠุณูˆูŠ ุงู„ out ุจูŠุณูˆูŠ ู†ุต ุงู„ degree ูƒู„ู‡ุง
1408
+
1409
+ 353
1410
+ 00:26:00,010 --> 00:26:04,510
1411
+ ุนู„ู‰ ุจุนุถ ูˆ ูŠุณูˆูŠ absolute E ู„ุญุงู„ู‡ุง ุงู„ degree ูƒุงู…ู„ุฉ
1412
+
1413
+ 354
1414
+ 00:26:04,510 --> 00:26:10,240
1415
+ ุนู„ู‰ ุจุนุถ ูƒู†ุช ุจุชุณูˆูŠ ุงุชู†ูŠู†E ู„ูˆ ุจุชุนุงู…ู„ undirected ุงู‡
1416
+
1417
+ 355
1418
+ 00:26:10,240 --> 00:26:12,480
1419
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cardinality ู‡ุฐู‡ ู„ูˆ ุจุชุนุงู…ู„ ุงูŠุด
1420
+
1421
+ 356
1422
+ 00:26:12,480 --> 00:26:16,020
1423
+ undirected ู„ูƒู† ุงู†ุง ุจุชุนุงู…ู„ directed ูู…ุนู†ู‰ ุฐู„ูƒ ุงู†ู‡
1424
+
1425
+ 357
1426
+ 00:26:16,020 --> 00:26:18,820
1427
+ ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ูƒุงู†ุช ู‡ู†ุง ู„ูˆ ู‚ุณู…ุช ุนู„ู‰ ุงุชู†ูŠู† ูู‡ูŠ ุตุงุฑุช
1428
+
1429
+ 358
1430
+ 00:26:18,820 --> 00:26:22,360
1431
+ ู‡ุฐู‡ ู†ุต ุงู„ degree total ุทูŠุจ ุงู„ degree ุงู†ุง ุนุงุฑู ุงู†
1432
+
1433
+ 359
1434
+ 00:26:22,360 --> 00:26:27,720
1435
+ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู†ุตูŠู† ูุนู„ูŠุง ุงู„ N ูŠุณุงูˆูŠ ุงู„ out ู…ุนู†ุงุชู‡
1436
+
1437
+ 360
1438
+ 00:26:27,720 --> 00:26:32,320
1439
+ ูŠุณุงูˆูŠ ุงู„ cardinality ู„ู„ edges ุงู„ cardinality ู„ู…ู†ุŸ
1440
+
1441
+ 361
1442
+ 00:26:32,320 --> 00:26:37,140
1443
+ ู„ู„ edges ุทุจุนุงุฎู„ุงุต ูŠุนู†ูŠ ู†ูุณ ุงู„ directed ูˆ ุงู„
1444
+
1445
+ 362
1446
+ 00:26:37,140 --> 00:26:41,300
1447
+ undirected ุจู†ูุณ ุงู„ููƒุฑุฉ ูˆ ู…ุงุชุบูŠุฑุด ู†ูุณ ุงู„ุฃููƒุงุฑ ู‡ูŠ ู‡ูŠ
1448
+
1449
+ 363
1450
+ 00:26:41,300 --> 00:26:46,420
1451
+ ุชู‚ุฑูŠุจุง ูƒุงููƒุงุฑ ุงู„ุขู† ู†ุฑูˆุญ ู„ู…ุฌู…ูˆุนุฉ special graph
1452
+
1453
+ 364
1454
+ 00:26:46,420 --> 00:26:50,640
1455
+ structures ุงูˆ ู…ุฌู…ูˆุนุฉ ุงู„ุชุฑุงูƒูŠุจ ู„ุฃู†ูˆุงุน ู…ู† ุฃู†ูˆุงุน ุงู„
1456
+
1457
+ 365
1458
+ 00:26:50,640 --> 00:26:55,040
1459
+ graphsุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุชุฎุฏู… ููŠ ุญุงู„ุงุช ูƒุชูŠุฑ ูŠุนู†ูŠ ููŠ ุญุงุฌุงุช
1460
+
1461
+ 366
1462
+ 00:26:55,040 --> 00:26:57,460
1463
+ ูƒุชูŠุฑ ู…ู†ู‡ุง ุงู„ complete ู‡ู†ุชูƒู„ู… ุนู† ุงู„ complete ู‡ู†ุชูƒู„ู…
1464
+
1465
+ 367
1466
+ 00:26:57,460 --> 00:27:01,160
1467
+ ุนู† ุงู„ cycles ู‡ู†ุชูƒู„ู… ุนู† ุงู„ wheels ู‡ู†ุชูƒู„ู… ุนู† ุงู„ n
1468
+
1469
+ 368
1470
+ 00:27:01,160 --> 00:27:04,720
1471
+ cubes ูˆ ุงู„ bipartite graphs ุซู… ุงู„ complete
1472
+
1473
+ 369
1474
+ 00:27:04,720 --> 00:27:09,400
1475
+ bipartite graph ู†ู…ุณูƒู‡ู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุจุงู„ู†ุณุจุฉ ู„ ุงู„
1476
+
1477
+ 370
1478
+ 00:27:09,400 --> 00:27:13,180
1479
+ complete graph complete graph ู‡ูŠ ุงู† ูŠูƒูˆู† ุนู†ุฏูƒ n
1480
+
1481
+ 371
1482
+ 00:27:13,180 --> 00:27:21,310
1483
+ verticesูˆ ุงู„ N ู‡ุง ุฏูŠ ุฃูŠ ุฑู‚ู… natural number ุจุญูŠุซ
1484
+
1485
+ 372
1486
+ 00:27:21,310 --> 00:27:27,130
1487
+ ุฃู†ูŠ ุฃุนุฑู ู…ู†ู‡ K complete of N ูู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ุนู†ุฏูƒ
1488
+
1489
+ 373
1490
+ 00:27:27,130 --> 00:27:33,010
1491
+ ุนุฏุฏ vertices N ูˆ full connected togetherุจู…ุนู†ู‰ ูƒู„
1492
+
1493
+ 374
1494
+ 00:27:33,010 --> 00:27:36,990
1495
+ node ู‡ูŠ ู…ุชุตู„ุฉ ุจุงู„ others ูƒู„ node ู…ุชุตู„ุฉ ุจุงู„ others
1496
+
1497
+ 375
1498
+ 00:27:36,990 --> 00:27:40,530
1499
+ ูƒุงู…ู„ุง ุชู…ุงู… ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ simple graph ููŠ
1500
+
1501
+ 376
1502
+ 00:27:40,530 --> 00:27:44,790
1503
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ู„ in nodes ู†ู‚ุฏุฑ ู†ู‚ูˆู„ ุนู„ูŠู‡ ูƒู„ node ู‡ูŠ
1504
+
1505
+ 377
1506
+ 00:27:44,790 --> 00:27:50,930
1507
+ adjacent for other nodes ู„ุฅูŠุด to every other nodes
1508
+
1509
+ 378
1510
+ 00:27:50,930 --> 00:27:57,610
1511
+ ุจุญูŠุซ ุงู† ู„ูƒู„ u ูˆ v ุชู†ุชู…ูŠ ู„ู„ vertices set ุจุดุฑุท ุงู†
1512
+
1513
+ 379
1514
+ 00:27:57,610 --> 00:28:02,070
1515
+ ู‡ู…ุง ู„ุง ูŠุณูˆูˆุง ุจุนุถ ูŠุนู†ูŠ ุฅูŠุดู…ุงููŠุด self-loop .. ู…ุงููŠุด
1516
+
1517
+ 380
1518
+ 00:28:02,070 --> 00:28:06,470
1519
+ self-loop ูŠูˆุฌุฏ connection between U and V ูŠูˆุฌุฏ
1520
+
1521
+ 381
1522
+ 00:28:06,470 --> 00:28:08,350
1523
+ connection .. ูƒูŠู ุนุฑูุช ุฃู†ู‡ ูŠูˆุฌุฏ connectionุŸ ู„ุฃู†ู‡
1524
+
1525
+ 382
1526
+ 00:28:08,350 --> 00:28:12,450
1527
+ ูŠู†ุชู…ูŠ ู„ู…ูŠู†ุŸ ู„ .. ุงู„ capital E .. ู„capital E ูˆ
1528
+
1529
+ 383
1530
+ 00:28:12,450 --> 00:28:15,530
1531
+ ู…ุงููŠุด isolated .. ู„ุฃ ู…ู…ูƒู† ูŠูƒูˆู† ููŠ isolated ุฅุฐุง ูƒุงู†
1532
+
1533
+ 384
1534
+ 00:28:15,530 --> 00:28:19,290
1535
+ ุงู„ degree zero ุงูˆ .. ุฏูŠุฌุฑูŠ one .. ุฏูŠุฌุฑูŠ one ุงู„
1536
+
1537
+ 385
1538
+ 00:28:19,290 --> 00:28:22,250
1539
+ degree one ู…ุนู†ุงุชู‡ ุฃู†ุง ุจู‚ูˆู„ K1 ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุนุฏุฏ ุงู„
1540
+
1541
+ 386
1542
+ 00:28:22,250 --> 00:28:26,710
1543
+ nodes ูˆุงุญุฏ ูู‡ูŠ ุนุฏุฏ ุงู„ node ูˆุงุญุฏ ูู‡ูŠ node ูˆุงุญุฏุฉ ..
1544
+
1545
+ 387
1546
+ 00:28:26,710 --> 00:28:32,820
1547
+ ุจุณ ู…ุน ู…ูŠู†ุŸ ู…ุง ู‡ูŠ ูˆุงุญุฏุฉ .. ุจุณู‡ูŠ ูˆุงุญุฏุฉ ูู‚ุท ูุฅุฐุง
1548
+
1549
+ 388
1550
+ 00:28:32,820 --> 00:28:37,260
1551
+ ู„ุญุงู„ู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ K2 ู‡ูŠ ุนู†ุฏ ุงุชู†ูŠู† ูˆูƒู„ ูˆุงุญุฏุฉ
1552
+
1553
+ 389
1554
+ 00:28:37,260 --> 00:28:39,700
1555
+ connected ู…ุน ูƒู„ ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ุง ุทูŠุจ ู…ุงููŠุด ุงู„ู„ูŠ
1556
+
1557
+ 390
1558
+ 00:28:39,700 --> 00:28:42,480
1559
+ ุญูˆุงู„ูŠู‡ุง ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ูู‡ู†ุง bonded ู‡ู†ุง ุตุงุฑูˆุง ุงุชู†ูŠู†
1560
+
1561
+ 391
1562
+ 00:28:42,480 --> 00:28:47,960
1563
+ ู…ุนู„ู‚ุชูŠู† ุทูŠุจ K3 ู‡ูŠ ููŠ ุนู†ุฏ three nodes ูƒู„ ูˆุงุญุฏุฉ
1564
+
1565
+ 392
1566
+ 00:28:47,960 --> 00:28:51,120
1567
+ ู…ุชุตู„ุฉ ุจุงุชู†ูŠู† ุชุงู†ูŠุงุช ูƒู„ ูˆุงุญุฏุฉ ู…ุชุตู„ุฉ ุจุงู„ุจุงู‚ูŠู† ูƒู„
1568
+
1569
+ 393
1570
+ 00:28:51,120 --> 00:28:56,260
1571
+ ูˆุงุญุฏุฉ ู…ุชุตู„ุฉ ุจุงู„ุจุงู‚ูŠ ูƒูˆูŠุณ K4ุจู‡ุฐุง ุงู„ุดูƒู„ ุฎู…ุณุฉ ุจ ..
1572
+
1573
+ 394
1574
+ 00:28:56,260 --> 00:29:00,120
1575
+ ุณุชุฉ and so on and so on ุทูŠุจ ู‚ุฏุงุด ุนุฏุฏ ุงู„ nodes ููŠ
1576
+
1577
+ 395
1578
+ 00:29:00,120 --> 00:29:04,800
1579
+ ุงู„ุญุงู„ุฉ .. ุนุฏุฏ ุงู„ .. ุงู„ edges ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ู…ุง
1580
+
1581
+ 396
1582
+ 00:29:04,800 --> 00:29:09,040
1583
+ ูƒุงู†ุช ุตูุฑ ูƒู†ุง ุจู†ุชูƒู„ู… ุนู† .. ู„ู…ุง ูƒุงู†ุช ูˆุงุญุฏ ุนููˆุงุŒ ูƒู†ุง
1584
+
1585
+ 397
1586
+ 00:29:09,040 --> 00:29:13,580
1587
+ ุจู†ุชูƒู„ู… ุนู† ุตูุฑ ุซู… ูˆุงุญุฏุŒ ุชู„ุงุชุฉุŒ ุตุงุฑ ุนู†ุฏูŠ ุณุชุฉ and so
1588
+
1589
+ 398
1590
+ 00:29:13,580 --> 00:29:21,020
1591
+ on ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุฐู‡ ูƒู„ node ุฅุถุงููŠุฉ ุจู†ุถูŠูู‡ุง ุจุชุฒูˆุฏู„ูŠ
1592
+
1593
+ 399
1594
+ 00:29:21,020 --> 00:29:27,800
1595
+ ุฅูŠุดุŸุฅู† ุงู„ุณุงุจู‚ุฉ ูŠุนู†ูŠ
1596
+
1597
+ 400
1598
+ 00:29:27,800 --> 00:29:32,600
1599
+ ู‡ุฏูˆู„ ู‡ุงูŠ ู‡ู… ู…ูˆุฌูˆุฏูŠู† ู…ุฌุฏุด ุงู„ุนุฏุฏ ุฎู„ูŠู‡ recursively
1600
+
1601
+ 401
1602
+ 00:29:32,600 --> 00:29:36,480
1603
+ recursively recursive ุจุดูƒู„ recursive ู‡ุฏูˆู„ุฉ ู†ูุณ
1604
+
1605
+ 402
1606
+ 00:29:36,480 --> 00:29:39,940
1607
+ ุงู„ู„ูŠ ุฌุงุจู„ู‡ู… ูู„ูŠูƒู† ุทูŠุจ ุงู„ K ุงู„ุฃุถุงููŠุฉ ุงู„ุชุงู„ุชุฉ ู‡ุฏูŠ
1608
+
1609
+ 403
1610
+ 00:29:39,940 --> 00:29:44,940
1611
+ ู…ุฌุฏุด ุถุงูุช ู‡ูŠ ุชุงู„ุชุฉ ู…ุนู†ุงุชู‡ ุจุชุถูŠู ุชุงู„ุชุฉ ู†ุงู‚ุต ูˆุงุญุฏ
1612
+
1613
+ 404
1614
+ 00:29:44,940 --> 00:29:49,280
1615
+ ุงุชู†ูŠู† ู‡ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุถุงูุช ุทูŠุจ ุตุงุฑ ููŠ ู‡ุฐู‡ ุงู„ู†ู‡ุงูŠุฉ
1616
+
1617
+ 405
1618
+ 00:29:49,280 --> 00:29:54,050
1619
+ ุงู„ู…ุซู„ุซ ู‡ุงูŠ ุงู„ู…ุซู„ุซ ุงู„ู†ู‚ุทุฉ ุงู„ุฅุถุงููŠุฉู„ุฒูŠุงุฏุฉ ุงู„ู„ูŠ ู‡ูŠ
1620
+
1621
+ 406
1622
+ 00:29:54,050 --> 00:29:57,490
1623
+ ุงู„ุฑุงุจุนุฉ ุฌุฏุด ุถุงูุช ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุฌุงุจู„ู‡ ุงู„ุฑุงุจุนุฉ ุชู„ุงุชุฉ
1624
+
1625
+ 407
1626
+ 00:29:57,490 --> 00:30:00,510
1627
+ ุงุถุงูุช ุชู„ุงุชุฉ ุฒูŠุงุฏุฉ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุงู†ุช ุทูˆู„ ู…ุง ุงู†ุช ู…ุงุดูŠ
1628
+
1629
+ 408
1630
+ 00:30:00,510 --> 00:30:03,450
1631
+ ู‚ุงุนุฏ ุจุชุถูŠู ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุฌุงุจู„ู‡ ูŠุนู†ูŠ ูƒุฃู†ูƒ ุจุชุนู…ู„
1632
+
1633
+ 409
1634
+ 00:30:03,450 --> 00:30:10,250
1635
+ summation ุจุณ ู…ุด ู„ู„ุฑู‚ู… n ู„ู„ n ู†ุงู‚ุต ูˆุงุญุฏุจุชุนู…ู„
1636
+
1637
+ 410
1638
+ 00:30:10,250 --> 00:30:14,790
1639
+ summation ู„ N ู†ุงู‚ุต ูˆุงุญุฏ ุงุจุชุฏุงุก ู…ู† ุงู„ูˆุงุญุฏ ุชุจุฏุฃ ู…ู†
1640
+
1641
+ 411
1642
+ 00:30:14,790 --> 00:30:18,810
1643
+ ุงู„ูˆุงุญุฏ ู‡ูˆ ุงู„ index ุงู„ุฃุณุงุณูŠ ุชุจุนูƒ ูุงุญู†ุง ุฃุฎุฏู†ุงู‡ุง ุงู„
1644
+
1645
+ 412
1646
+ 00:30:18,810 --> 00:30:23,350
1647
+ Euler ุฅุฐุง ู…ุช ุฐุงูƒุฑูŠู† ุงู„ Euler track ุงู„ู„ูŠ ู‡ูŠ ุชุงุนุฉ ุงู„
1648
+
1649
+ 413
1650
+ 00:30:23,350 --> 00:30:26,170
1651
+ summation ู‡ูŠ ุงู„ summation ุจุณ ู‡ุฐุง ุงู„ summation ู„ู…ูŠู†
1652
+
1653
+ 414
1654
+ 00:30:26,170 --> 00:30:30,370
1655
+ ู„ N ู†ุงู‚ุต ูˆุงุญุฏ element ู„ุฃู†ู‡ ูƒู†ุง ุจู†ู‚ูˆู„ ุฅุฐุง ุจุฏูŠ ุฃู‚ูˆู„
1656
+
1657
+ 415
1658
+ 00:30:30,370 --> 00:30:35,670
1659
+ ูˆุงุญุฏ ุฒุงุฆุฏ ุงุชู†ูŠู† ุฒุงุฆุฏ ุชู„ุงุชุฉ ู„ ุนู†ุฏ N ูƒุงู†ุช ุงู„ู‚ุงู†ูˆู† N
1660
+
1661
+ 416
1662
+ 00:30:35,670 --> 00:30:40,460
1663
+ ููŠ N ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู†ุงู†ุง ู„ุงู† ุจุนู…ู„ summation
1664
+
1665
+ 417
1666
+ 00:30:40,460 --> 00:30:45,360
1667
+ ู„ู…ูŠู† ู„ุฅู† ู†ุงู‚ุต ูˆุงุญุฏ ุฌุจู„ู‡ุง ุฌุจู„ ุจูˆุงุญุฏ ู…ุฏุงู… ุฌุจู„ ุจูˆุงุญุฏ
1668
+
1669
+ 418
1670
+ 00:30:45,360 --> 00:30:50,640
1671
+ ู„ุฅู† ู†ุงู‚ุต ูˆุงุญุฏ ุชุตุจุญ ู‡ู†ุง in ู†ุงู‚ุต ูˆุงุญุฏ ููŠ in ุนู„ู‰
1672
+
1673
+ 419
1674
+ 00:30:50,640 --> 00:30:55,280
1675
+ ุงุชู†ูŠู† ููŠ in ุนู„ู‰ ุงุชู†ูŠู† ูˆู‡ูˆ ุฏู‡ ูุนู„ุง ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ
1676
+
1677
+ 420
1678
+ 00:30:55,280 --> 00:30:59,360
1679
+ ู‡ู†ุดุชุบู„ ุนู„ูŠู‡ ุจุชู‚ุฏุฑ ุชุนูˆุถ ููŠู‡ ุจุชุดุชุบู„ ุจุณู‡ูˆู„ุฉ ุจุญูŠุซ ุงู†ูƒ
1680
+
1681
+ 421
1682
+ 00:30:59,360 --> 00:31:02,760
1683
+ ู‡ุชู„ุงู‚ูŠ ู…ุซู„ุง ุชู„ุงุชุฉ ุชู„ุงุชุฉ ููŠ ุงุชู†ูŠู† ุณุชุฉ ุนู„ู‰ ุงุชู†ูŠู†
1684
+
1685
+ 422
1686
+ 00:31:02,760 --> 00:31:05,460
1687
+ ุชู„ุงุชุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ูŠ ูุนู„ุง ุชู„ุงุชุฉ and so on
1688
+
1689
+ 423
1690
+ 00:31:05,460 --> 00:31:13,000
1691
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู„ูƒู„ ุงู„ edgesุทูŠุจ ุงู„ cycles ุนู†ุฏูƒ ุงู„ cycle
1692
+
1693
+ 424
1694
+ 00:31:13,000 --> 00:31:16,040
1695
+ cycle ูƒู„ู†ุง ุนุงุฑููŠู† ุงู„ cycle ูƒู„ู†ุง ุนุงุฑููŠู† ุงู„ cycle
1696
+
1697
+ 425
1698
+ 00:31:16,040 --> 00:31:18,500
1699
+ ูŠู…ูƒู† ูˆุงุญุฏุฉ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู…ุดู‡ูˆุฑุฉ ุฌุฏุง ุฎุตูˆุตุง ู„ู…ุง ู†ุชูƒู„ู…
1700
+
1701
+ 426
1702
+ 00:31:18,500 --> 00:31:21,960
1703
+ ุนู† ุงู„ุดุจูƒุงุช ุนู† ุงู„ุดุจูƒุงุช ุฏุงูŠู…ุง ุจูŠูƒูˆู† ููŠ ุนู†ุฏูƒ ุงู„ ring
1704
+
1705
+ 427
1706
+ 00:31:21,960 --> 00:31:25,540
1707
+ network ุงู„ ring network ุงู„ู„ูŠ ู‡ูŠ cycle ุจู‡ุฐุง ุงู„ุดูƒู„
1708
+
1709
+ 428
1710
+ 00:31:25,540 --> 00:31:28,920
1711
+ ูุจู†ู‚ุฏุฑ ู†ู…ุซู„ู‡ุง ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุฅุญู†ุง ุดุงูŠููŠู†ู‡ ู‚ุฏุงู…ู†ุง ุฅุฐุง
1712
+
1713
+ 429
1714
+ 00:31:28,920 --> 00:31:34,140
1715
+ ูƒุงู† ุนู†ุฏูƒ ุงู„ n ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณูˆู‰ ุชู„ุงุชุฉ ู„ุฃู† ุฃุฌู„ ู…ู†
1716
+
1717
+ 430
1718
+ 00:31:34,140 --> 00:31:37,120
1719
+ ุชู„ุงุชุฉ ู…ุด ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ cycle ุฃุฌู„ ู…ู† ุชู„ุงุชุฉ ู‡ูŠูƒูˆู†
1720
+
1721
+ 431
1722
+ 00:31:37,120 --> 00:31:46,310
1723
+ ุนู†ุฏูƒุจู‡ุฐุง ุงู„ุดูƒู„ two nodes ูˆ one edge ู…ุด ู‡ุชููŠุฏู„ูƒ ุจุดูŠ
1724
+
1725
+ 432
1726
+ 00:31:46,310 --> 00:31:51,850
1727
+ ุชู…ุงู… ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ vertices ุงู„ vertices ู‡ุฏูˆู„ุฉ ุนุฏุฏู‡ู…
1728
+
1729
+ 433
1730
+ 00:31:51,850 --> 00:31:58,730
1731
+ n vertex ูˆ ุงู„ edges ู‡ุชูƒูˆู† ุจูŠู† ูƒู„ ู†ู‚ุทุฉ ูˆ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง
1732
+
1733
+ 434
1734
+ 00:31:58,730 --> 00:32:04,560
1735
+ ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุจุณูƒู„ node ูˆ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูˆ ุงู„ู„ูŠ ุจุนุฏู‡ุงุŒ
1736
+
1737
+ 435
1738
+ 00:32:04,560 --> 00:32:08,420
1739
+ ูŠุนู†ูŠ ุงุชู†ูŠู† ุญูˆุงู„ูŠู‡ุงุŒ ูˆุงุญุฏุฉ ู‚ุจู„ ูˆ ูˆุงุญุฏุฉ ุจุนุฏุŒ ุจุณุŒ ุฃู…ุง
1740
+
1741
+ 436
1742
+ 00:32:08,420 --> 00:32:10,400
1743
+ ู…ุด full connection ุฒูŠ ู…ุง ูƒู†ุง ุชูˆุนูŠ ุฃูˆ full
1744
+
1745
+ 437
1746
+ 00:32:10,400 --> 00:32:12,680
1747
+ completeุŒ ุงู„ complete ุงู„ู„ูŠ ุงุณู…ู†ุงู‡ ุงู„ completeุŒ ู„ุฃ
1748
+
1749
+ 438
1750
+ 00:32:12,680 --> 00:32:16,060
1751
+ ู‡ูŠ ู…ุด completeุŒ ู‡ูŠ ูุนู„ูŠุง ูƒู„ ู†ู‚ุทุฉ ู…ุน ู†ู‚ุทุฉ ุฌุจู„ ูˆ
1752
+
1753
+ 439
1754
+ 00:32:16,060 --> 00:32:19,630
1755
+ ู†ู‚ุทุฉ ุจุนุฏุŒ ุจุณุทูŠุจ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุงุชุตู„ุช ู…ุน ู‡ุฐู‡ ุฎู„ุงุต
1756
+
1757
+ 440
1758
+ 00:32:19,630 --> 00:32:22,490
1759
+ ู…ุนู†ุงู‡ุง ุชุจุฏุฃ ูƒู…ุงู† ู†ู‚ุทุฉ ููƒู„ ู†ู‚ุทุฉ ู…ุชุตู„ุฉ ุจู‚ู‰ ุนู† ู†ู‚ุทุชูŠู†
1760
+
1761
+ 441
1762
+ 00:32:22,490 --> 00:32:27,810
1763
+ ุญูˆุงู„ูŠู‡ุง ุจุณ ุจุญูŠุซ ุงู†ู‡ ููŠ ุงู„ุขุฎุฑ ู‡ูŠุนู…ู„ ุดูƒู„ cycle
1764
+
1765
+ 442
1766
+ 00:32:27,810 --> 00:32:30,770
1767
+ ูุงู„ุดูƒู„ ู‡ูŠูƒูˆู† ู…ุฌู…ูˆุนุฉ ุงู„ edges ุชุจุนู†ุง ุงูˆ ุงู„ set of
1768
+
1769
+ 443
1770
+ 00:32:30,770 --> 00:32:38,490
1771
+ edges ู‡ูŠ V1 to V2 ุทูŠุจ ุงู„ุชุงู†ูŠุฉ ุจุชุจุฏุฃ ู…ู† V2 V2 to V3
1772
+
1773
+ 444
1774
+ 00:32:38,490 --> 00:32:44,010
1775
+ ุทูŠุจ ู…ู† V3 ู„ V4 ุทุจ ุฐูƒุฑุชู†ุง ููŠ ุฃูŠุด ู…ู† ุงู„ relationsุŸ
1776
+
1777
+ 445
1778
+ 00:32:44,040 --> 00:32:50,140
1779
+ transitive relation ู„ู…ุง ุงุชู‚ูˆู„ ุตุฑุช ุงู†ุง ุจู†ุชู‚ู„ ู…ู† v1
1780
+
1781
+ 446
1782
+ 00:32:50,140 --> 00:32:56,560
1783
+ ู„ vn ู‡ูŠ ุนู†ุฏ vn ูˆุตู„ู†ุง ุทูŠุจ ู…ู† vn ุฑูˆุญู†ุง ุนู…ู„ู†ุงู‡ุง
1784
+
1785
+ 447
1786
+ 00:32:56,560 --> 00:33:02,160
1787
+ connection ู„ v1 ุตุฑุช ุจุชูƒู„ู… ุนู† cycle ุงูˆ circuit
1788
+
1789
+ 448
1790
+ 00:33:02,160 --> 00:33:07,040
1791
+ ุณู…ู†ู‡ุง ู…ุด ุดุงูŠุฑ circuit ุงูˆ cycle ุจู…ุนู†ู‰ ุงู†ู‡ ุงู„ degree
1792
+
1793
+ 449
1794
+ 00:33:07,040 --> 00:33:10,920
1795
+ ุฑุฌุนุช ู„ ุงูˆ ุงู„ .. ุงู„ .. ุงู„ transitive ุฑุฌุนุช ู„ู†ูุณ
1796
+
1797
+ 450
1798
+ 00:33:10,920 --> 00:33:16,910
1799
+ ุงู„ู†ู‚ุทุฉ ุชุงู†ูŠุฉ v1ู…ู† V1 ู„ V1 ูุณู…ู†ุงู‡ุง Loop ุฃูˆ ุณู…ู†ุงู‡ุง
1800
+
1801
+ 451
1802
+ 00:33:16,910 --> 00:33:22,010
1803
+ Cycle ูˆ ุณู…ู†ุงู‡ุง Circuit ุณู…ู†ุงู‡ู… ุจุงู„ุญุงู„ุชูŠู† ุชู…ุงู… ุงู„ุงู†
1804
+
1805
+ 452
1806
+ 00:33:22,010 --> 00:33:26,130
1807
+ ู‚ุฏุงุด ุนุฏุฏ ุงู„ edges ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ูˆ ุฃู†ุง ุจุชูƒู„ู… ุนู† C
1808
+
1809
+ 453
1810
+ 00:33:26,130 --> 00:33:32,690
1811
+ ู…ู† ุงู„ degree N ู‡ูŠ ู…ุจุงุดุฑุฉ ุฅุฐุง ูˆุงู„ู„ู‡ ุนู†ุฏูŠ ุฃุฑุจุนุฉ
1812
+
1813
+ 454
1814
+ 00:33:32,690 --> 00:33:35,910
1815
+ ูุนู†ุฏูŠ ุฃุฑุจุนุฉ edges ุนู†ุฏูŠ ุฎู…ุณุฉ ูุนู†ุฏูŠ ุฎู…ุณุฉ edges ุนู†ุฏูŠ
1816
+
1817
+ 455
1818
+ 00:33:35,910 --> 00:33:42,890
1819
+ ุณุชุฉ ูุนู†ุฏูŠ ุณุชุฉ edges ุจุณูŠุทุฉ ุฌุฏุง ู„ุณู‡ ุชู…ุงู…Okay ุงู„
1820
+
1821
+ 456
1822
+ 00:33:42,890 --> 00:33:51,170
1823
+ wheels ู‡ูŠ cycle ู„ูƒู† ุจูŠูƒูˆู† ู„ู‡ุง ู…ุญูˆุฑ ุนุฌู„ุฉ ู…ุญูˆุฑ ุนุฌู„ุฉ
1824
+
1825
+ 457
1826
+ 00:33:51,170 --> 00:33:54,410
1827
+ ุทุจ ู…ุญูˆุฑ ุนุฌู„ุฉ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุนุจุงุฑุฉ ุนู† ูƒู…ุงู† ู†ู‚ุทุฉ
1828
+
1829
+ 458
1830
+ 00:33:54,410 --> 00:34:00,210
1831
+ ุฒูŠุงุฏุฉ ูƒุฃู†ู‡ุง ุงู„ู…ุญูˆุฑ ูˆ connected ู…ุน ุงู„ others ุชู…ุงู…ุŸ
1832
+
1833
+ 459
1834
+ 00:34:00,210 --> 00:34:07,850
1835
+ ุงู‡ู„ู…ุง ู‡ูŠ cycle ูˆุนู…ู„ู†ุง ู„ู‡ุง ู…ุญูˆุฑ ุงูˆ spindle ููŠ ุงู„ู†ุต
1836
+
1837
+ 460
1838
+ 00:34:07,850 --> 00:34:11,790
1839
+ ู…ุด ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ู‡ูŠ ู…ุด ุงูƒุชุฑ ู…ู† ู…ู† ู‡ุฐุง ุงู„ุดูƒู„ ูุงู†ุช
1840
+
1841
+ 461
1842
+ 00:34:11,790 --> 00:34:17,370
1843
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุตุงุฑ ูƒู„ู‡ totally ุงูŠุดุŸWheels ุฃูˆ ุนุฌู„ุฉ ุทูŠุจ
1844
+
1845
+ 462
1846
+ 00:34:17,370 --> 00:34:24,630
1847
+ ูƒู„ู†ุง ุนุงุฑููŠู† ุงู†ู‡ ุจุงู„ู†ุณุจุฉ ู„ู„ C N ูƒุงู†ุช N ูˆุงุญุฏุฉ ุทูŠุจ
1848
+
1849
+ 463
1850
+ 00:34:24,630 --> 00:34:29,090
1851
+ ุงู„ุฅุถุงููŠุฉ ู‡ุฐู‡ ุฌุฏุด ุฌุงุจุช ู…ุนุงู‡ุง ุนุฏุฏ edges ุนุฏุฏ ุงู„ N
1852
+
1853
+ 464
1854
+ 00:34:29,090 --> 00:34:34,590
1855
+ ู†ูุณู‡ุง ู2N ู2N ูุนู†ุฏูƒ ุนุฏุฏ ู‡ู†ุง ู„ูˆ ุฎู…ุณุฉ ูŠุนู†ูŠ ุงู„ุฎู…ุณุฉ
1856
+
1857
+ 465
1858
+ 00:34:34,590 --> 00:34:38,170
1859
+ ุงู„ุฃุณุงุณูŠูŠู† ุชุนูˆู† ุงู„ cycle ุฒุงุฆุฏ ุฎู…ุณุฉ ุงุฌูˆุง ู…ุน ุงู„ node
1860
+
1861
+ 466
1862
+ 00:34:38,170 --> 00:34:41,310
1863
+ ู‡ุฐู‡ ู„ุฃู†ู‡ ู„ุงุฒู… ุชุนู…ู„ connection ู…ุน ุงู„ูƒู„ ูุตุงุฑ ุนู†ุฏูƒ 2
1864
+
1865
+ 467
1866
+ 00:34:41,310 --> 00:34:42,550
1867
+ 2N
1868
+
1869
+ 468
1870
+ 00:34:44,500 --> 00:34:50,100
1871
+ ุชู…ุงู… ุทูŠุจ ุงู„ N cubes ุงู„ N cube ุงูˆ ุงู„ hyper cubes ุงู„
1872
+
1873
+ 469
1874
+ 00:34:50,100 --> 00:34:54,640
1875
+ hyper cubes ุจุจุณุงุทุฉ ุงุฐุง ูƒุงู† ุงู†ุง ุจุชูƒู„ู… ุนู† N ุงูŠ ุฑู‚ู…
1876
+
1877
+ 470
1878
+ 00:34:54,640 --> 00:34:59,480
1879
+ ูŠู†ุชู…ูŠ ู„ natural number ููƒhyper cube Q N .. Q N ุฏูŠ
1880
+
1881
+ 471
1882
+ 00:34:59,480 --> 00:35:03,280
1883
+ ุจุจุณุงุทุฉ ุฌุฏุง ู‡ูŠ ุงู„ graph ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ููŠ ุงู„ุฏุฑุฌุฉ ู…ูƒุฑุฑ
1884
+
1885
+ 472
1886
+ 00:35:03,280 --> 00:35:10,500
1887
+ ู…ู†ู‡ุง ุงูˆ ู‡ูŠ ู…ุงุฎุฏุฉ ู†ุณุฎุฉ ู…ู†ู‡ ูŠุนู†ูŠ ุงุฐุง ูƒุงู† ุนู†ุฏูƒQ N ู†ู‚ุต
1888
+
1889
+ 473
1890
+ 00:35:10,500 --> 00:35:15,920
1891
+ ูˆุงุญุฏ ุงู„ cube N ู†ู‚ุต ูˆุงุญุฏ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† cube N ุงูˆ Q N
1892
+
1893
+ 474
1894
+ 00:35:15,920 --> 00:35:21,300
1895
+ ู‡ูŠ ุนุจุงุฑุฉ ุนู† Q N ู†ู‚ุต ูˆุงุญุฏ ูˆ ู…ู†ุณูˆุฎ ู…ู†ู‡ ุจุฑุถู‡ ุงุฎูˆู‡ ุฒูŠู‡
1896
+
1897
+ 475
1898
+ 00:35:21,300 --> 00:35:26,680
1899
+ ุจุงู„ุธุจุท Q N ู†ู‚ุต ูˆุงุญุฏ ูˆ ูƒู„ ู†ู‚ุทู‡ ู†ุณุฎุฉ ู…ู† ู†ู‚ุทู‡ ููŠ
1900
+
1901
+ 476
1902
+ 00:35:26,680 --> 00:35:33,160
1903
+ ุจูŠู†ู‡ู… connectionุจุฏุง ุชูˆุถูŠุญ ู‡ุชู†ุดูˆู ู†ูˆุถุญู‡ุง ุจุงู„
1904
+
1905
+ 477
1906
+ 00:35:33,160 --> 00:35:39,920
1907
+ animation ุงู„ู„ูŠ ุงุญู†ุง ุนู…ู„ู‡ุง ุนู†ุฏูƒ Q0 ู†ู‚ุทุฉ ุจุณ ู†ู‚ุทุฉ ูˆ
1908
+
1909
+ 478
1910
+ 00:35:39,920 --> 00:35:43,460
1911
+ ุจุณ ูƒูˆูŠุณ ู„ู…ุง ุฌูˆู„ ุงู„ู†ู‚ุทุฉ ูˆ ุจุณ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ูˆ ุจุณ ุฃุฎุฏุช
1912
+
1913
+ 479
1914
+ 00:35:43,460 --> 00:35:49,700
1915
+ ู…ู†ู‡ุง ู†ุณุฎุฉ ูˆ ูƒู„ corresponding node ุจูˆุตู„ู‡ุง ู…ุน
1916
+
1917
+ 480
1918
+ 00:35:49,700 --> 00:35:54,520
1919
+ ุงู„ู…ู†ุณูˆุฎ ุงู„ู†ุงุณุฎ ู…ุน ุงู„ู…ู†ุณูˆุฎ ูƒู„ ู†ู‚ุทุฉ ุงู†ุชุณุฎุช ู…ุน ุงู„ู†ู‚ุทุฉ
1920
+
1921
+ 481
1922
+ 00:35:54,520 --> 00:35:58,340
1923
+ ุงู„ู„ูŠ ุงู†ุชุณุฎุช ู…ู†ู‡ุง ู†ุนู…ู„ ููŠู‡ node connectionุทูŠุจ ู‡ุฐุง
1924
+
1925
+ 482
1926
+ 00:35:58,340 --> 00:36:04,700
1927
+ ุงู„ graph ุตุงุฑ Q1 ู†ูุณู‡ ูˆู‡ูˆ .. ุจุฏูŠ ุงุนู…ู„ ู…ู†ู‡ ู†ุณุฎุฉ ุงูŠูˆุฉ
1928
+
1929
+ 483
1930
+ 00:36:04,700 --> 00:36:08,860
1931
+ ุจุณ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู‡ูŠ ู…ู†ุณูˆุฎุฉ ู…ู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ูˆ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡
1932
+
1933
+ 484
1934
+ 00:36:08,860 --> 00:36:10,840
1935
+ ู…ู†ุณูˆุฎุฉ ู…ู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุฎู„ุงุต ุงุนู…ู„ connection ุจูŠู†ู‡ู…
1936
+
1937
+ 485
1938
+ 00:36:10,840 --> 00:36:15,900
1939
+ ุทูŠุจ Q2
1940
+
1941
+ 486
1942
+ 00:36:15,900 --> 00:36:21,940
1943
+ ู‡ูŠู‡ ู†ุณุฎุฉ ู…ู†ู‡ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู…ู†ุณูˆุฎุฉ ู…ู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู…ู† ู‡ุฐู‡
1944
+
1945
+ 487
1946
+ 00:36:21,940 --> 00:36:24,840
1947
+ ูˆ ู‡ุฐู‡ ู…ู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู…ู† ู‡ุฐู‡ ูˆุตู„ู‡ู… ูƒู„ ูˆุงุญุฏุฉ ู†ุงุณุฎุฉ
1948
+
1949
+ 488
1950
+ 00:36:24,840 --> 00:36:25,360
1951
+ ู…ู†ุณูˆุฎุฉ
1952
+
1953
+ 489
1954
+ 00:36:29,260 --> 00:36:35,160
1955
+ ู‡ูŠ cube ู‡ูŠ cube ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ Q ุชู„ุงุชุฉ ุทุจ ูƒู…ุงู† Q
1956
+
1957
+ 490
1958
+ 00:36:35,160 --> 00:36:43,100
1959
+ ุชู„ุงุชุฉ ูˆ ูƒู„ ู†ู‚ุทุฉ ุจุงู„ correspondence ู„ุฅู„ู‡ุง ูƒู„ ู†ู‚ุทุฉ
1960
+
1961
+ 491
1962
+ 00:36:43,100 --> 00:36:45,900
1963
+ ุจุงู„ correspondence ู„ุฅู„ู‡ุง ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู‡ูŠ ู…ู†ุณูˆุฎุฉ ู…ู†
1964
+
1965
+ 492
1966
+ 00:36:45,900 --> 00:36:48,280
1967
+ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ูุจูŠู†ู‡ู… ููŠ connection ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู…ู†ุณูˆุฎุฉ
1968
+
1969
+ 493
1970
+ 00:36:48,280 --> 00:36:52,060
1971
+ ู…ู† ู‡ุฐู‡ ููŠ connection ูˆ ู‡ูƒุฐุง ุจุฏูƒ ุชุฌูŠุจ ุฎู…ุณุฉ ู…ุนู†ุงุชู‡
1972
+
1973
+ 494
1974
+ 00:36:52,060 --> 00:36:55,220
1975
+ ู‡ูˆ ู†ูุณ ุงู„ู‚ุงู„ุจ ู‡ุฐุง ุฒูŠ ู…ุง ู‡ูˆ ุจุฑุถู‡ ุจุช๏ฟฝ๏ฟฝุณุฎ ู…ู†ู‡ ูƒู…ุงู† ู…ุฑุฉ
1976
+
1977
+ 495
1978
+ 00:36:55,220 --> 00:37:01,540
1979
+ ูˆ ุจุชูˆุตู„ ูƒู„ ู†ู‚ุทุฉ ู†ุงุณุฎ ู…ุน ู…ู†ุณูˆุฎุฉูƒุจุณ ู…ุฌู…ูˆุนุฉ ูƒุจุณ ูุงู†ุช
1980
+
1981
+ 496
1982
+ 00:37:01,540 --> 00:37:06,480
1983
+ ุจุชุนู…ู„ ูุนู„ุง two ูƒุจุณ ู…ู† ุงู„ order ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ูˆ ูƒู„
1984
+
1985
+ 497
1986
+ 00:37:06,480 --> 00:37:11,880
1987
+ ู†ู‚ุทุฉ ู…ุชุตู„ุฉ ุจุงู„ู…ู†ุณูˆุฎ ู…ู†ู‡ุง ุงู„ุงู† ุฌุฏุงุด ุนุฏุฏ ุงู„ vertices
1988
+
1989
+ 498
1990
+ 00:37:13,810 --> 00:37:16,770
1991
+ ุงู„ vertices ุฃู†ุง ุจุชูƒู„ู… ู„ุณู‡ ุนู† ุงู„ verticesุŒ ู‡ุชู†ุฑูƒุฒ
1992
+
1993
+ 499
1994
+ 00:37:16,770 --> 00:37:19,890
1995
+ ููŠู‡ู…ุŒ ุนู†ุฏ ุงู„ zero ูƒุงู†ูˆุง ูˆุงุญุฏุŒ ุนู†ุฏ ุงู„ ูˆุงุญุฏ ูƒุงู†ูˆุง
1996
+
1997
+ 500
1998
+ 00:37:19,890 --> 00:37:24,610
1999
+ ู‡ุงูŠูˆู… ุงุชู†ูŠู†ุŒ ุงุชู†ูŠู† ูƒุงู†ูˆุง ุงุฑุจุนุฉุŒ ุชู…ุงู†ูŠุฉุŒ ุณุชุฉ ุนุดุฑุฉุŒ
2000
+
2001
+ 501
2002
+ 00:37:24,610 --> 00:37:26,850
2003
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู†ุŒ ุชู„ุงู‚ูŠ ุงุชู†ูŠู† ุชุธุจุฑ ูŠุนู†ูŠ ู…ุงููŠุด ููŠู‡ู…
2004
+
2005
+ 502
2006
+ 00:37:26,850 --> 00:37:36,000
2007
+ ู…ุดูƒู„ุฉ ุงุทู„ุงู‚ุงุŒ ุงู‡ุŸ ู„ูŠุด ููŠู‡ุง ู…ุดูƒู„ุฉุŸุงูƒุชูŠุฑ ุจุงูŠ ุนุฏุฏู‡ู…
2008
+
2009
+ 503
2010
+ 00:37:36,000 --> 00:37:39,280
2011
+ ุจูŠุทู„ุน n to the power n ู†ุงู‚ุต one ุงุชู†ูŠู† to the power
2012
+
2013
+ 504
2014
+ 00:37:39,280 --> 00:37:48,360
2015
+ n ู†ุงู‚ุต one ููŠ n ููŠ ู…ูŠู†ุŸ ููŠ n ูƒูŠูุŸ ู…ุน ุงู„ุนู„ู… ุงู†ู‡
2016
+
2017
+ 505
2018
+ 00:37:48,360 --> 00:37:50,960
2019
+ ูŠุนู†ูŠ ุฎู„ูŠู†ูŠ ุงู‚ูˆู„ ูˆุงุญุฏ ู…ู† ุงู„ุทู„ุงุจ ุงู„ู„ูŠ ุฌุงุจู‡ุง ู‚ุจู„ ุชู„ุช
2020
+
2021
+ 506
2022
+ 00:37:50,960 --> 00:37:56,880
2023
+ ุณู†ูŠู† ูŠุนู†ูŠ ู…ุงูƒู†ุชุด ุฎุงุทุฑุฉ ุนุจุงู„ูŠุฉ ุงุตู„ุง ู†ุฌูŠุจู‡ุง ุฑูƒุฒุช
2024
+
2025
+ 507
2026
+ 00:37:56,880 --> 00:38:00,360
2027
+ ููŠู‡ุง ุงู‡ ุดุจุงุจ ุทุจ ุญู‚ ู†ู‚ุฏุฑ ู†ุฌูŠุจ ุงู„ edges ุฑูƒุฒุช ููŠู‡ุง ุทุจ
2028
+
2029
+ 508
2030
+ 00:38:00,360 --> 00:38:04,100
2031
+ ุงู‡ ูŠุงู„ุง ุฌูŠุจูˆู„ูƒูˆุง ุงู„ edges ุงุนุชุจุฑูˆุง quizextra ู‡ูŠูƒูŠ
2032
+
2033
+ 509
2034
+ 00:38:04,100 --> 00:38:08,720
2035
+ ู„ุฌูŠุช ูˆุงุญุฏ ูˆุงุญุฏ ุจุณ ุงู„ู„ูŠ ุฌุงุจู‡ุง ูˆุงุญุฏ ุงู„ู„ูŠ ุฌุงุจู‡ุง ูˆุงุฎุฏ
2036
+
2037
+ 510
2038
+ 00:38:08,720 --> 00:38:13,400
2039
+ ุงู„ extra ุชุจุนุชู‡ ุนู„ู‰
2040
+
2041
+ 511
2042
+ 00:38:13,400 --> 00:38:20,560
2043
+ ุฅูŠุดุŸ ุทูŠุจ ุงู„ by parts ุงู„ by parts ู…ู† ุงุณู…ู‡ุง ุนู†ุฏูƒ two
2044
+
2045
+ 512
2046
+ 00:38:20,560 --> 00:38:26,380
2047
+ parts ู…ุด ู‡ูŠูƒ part ุฃูˆู„ part ุชุงู†ูŠ ุงู„ two parts ู‡ุฏูˆู„ุฉ
2048
+
2049
+ 513
2050
+ 00:38:26,380 --> 00:38:29,920
2051
+ ุฏุงุฎู„ ุงู„ graph ู…ุนู†ุงู‡ ุฐู„ูƒ ุฅู†ู‡ ุฃู†ุง ุจุฏูŠ ุฃู…ุณูƒ ูƒู„ ุฌุฒุก ู…ู†
2052
+
2053
+ 514
2054
+ 00:38:29,920 --> 00:38:34,930
2055
+ ุฃุฌุฒุงุก ุงู„ graph ูˆ ุฃุนู…ู„ู‡ู…2 parts ุงู„ุฌุฒุก ุงู„ุฃุณุงุณูŠ ู‡ูˆ ุงู„
2056
+
2057
+ 515
2058
+ 00:38:34,930 --> 00:38:40,750
2059
+ vertices ูุงู„ vertices ุจุชุฌุณู…ู‡ู… ู„ู…ุฌู…ูˆุนุชูŠู† vertices 1
2060
+
2061
+ 516
2062
+ 00:38:40,750 --> 00:38:45,170
2063
+ ุงูˆ vertices set 1 ูˆ vertices set 2 ุจุชูุชุฑุถ ูุฑูŠู‚ูŠู†
2064
+
2065
+ 517
2066
+ 00:38:45,170 --> 00:38:49,770
2067
+ ูƒูˆุฑุฉ ู‚ุฏู… ุฌุณู…ู†ุงู‡ู… ู‡ู„ ู‡ูŠู†ูุน .. ุทุจุนุง ุจุชุตูŠุฑ ุฃุญูŠุงู†ุง
2068
+
2069
+ 518
2070
+ 00:38:49,770 --> 00:38:53,320
2071
+ ูˆุงุญุฏ ุจู„ุนุจ ู…ุฑุฉ ู…ุน ุญุฏูˆู„ ูˆ ู…ุฑุฉ ู…ุน ุญุฏูˆู„ู‡ุฐุง ุงุฐุง ูƒุงู†
2072
+
2073
+ 519
2074
+ 00:38:53,320 --> 00:38:56,420
2075
+ ุจุชุจู‚ู‰ ุงู„ูุงุฆุฒ ูˆ ุฎู„ุงุต ุจุณ ุงู„ุทุจูŠุนูŠ ุงู†ู‡ ู„ุฃ ู‡ุฏูˆู„ุฉ
2076
+
2077
+ 520
2078
+ 00:38:56,420 --> 00:38:58,720
2079
+ ู…ู†ูุตู„ูŠู† ุนู† ู‡ุฏูˆู„ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุงู„ intersection
2080
+
2081
+ 521
2082
+ 00:38:58,720 --> 00:39:02,560
2083
+ between them ุงู„ู…ูุฑูˆุถ ููŠ ูุนู†ุฏูƒ ูุฑูŠู‚ ุงูˆู„ ูุฑูŠู‚ ุชุงู†ูŠ
2084
+
2085
+ 522
2086
+ 00:39:02,560 --> 00:39:06,800
2087
+ ุชู…ุงู… ู‡ุงูŠ ุงู„ูุฑูŠู‚ ุงู„ุงูˆู„ ูˆู‡ูŠ ุงู„ูุฑูŠู‚ ุงู„ุชุงู†ูŠ ูˆู„ุงู† ุจุชุนู…ู„
2088
+
2089
+ 523
2090
+ 00:39:06,800 --> 00:39:12,140
2091
+ relation ุจูŠู† ูƒู„ ุนู†ุตุฑ ู…ู† ุงู„ูุฑูŠู‚ ุงู„ุงูˆู„ ู…ุน ูƒู„ ุนู†ุตุฑ ู…ู†
2092
+
2093
+ 524
2094
+ 00:39:12,140 --> 00:39:16,780
2095
+ ุงู„ูุฑูŠู‚ ุงู„ุชุงู†ูŠ ุทูŠุจ ุนู†ุงุตุฑ ุงู„ูุฑูŠู‚ ู†ูุณู‡ ู…ุน ุจุนุถู‡ ู„ุฃ
2096
+
2097
+ 525
2098
+ 00:39:16,780 --> 00:39:20,240
2099
+ ู…ุงููŠุด relation ู„ูŠุด ู„ุฃู† ู‡ุฏู‰ ุฎู„ูŠู†ูŠ ุงูุชุฑุถ ุงู†ู‡ ุงู„ุนู„ุงู‚ุฉ
2100
+
2101
+ 526
2102
+ 00:39:20,240 --> 00:39:25,380
2103
+ ู‡ู†ุง ู‡ูŠ ุชู†ุงูุณูŠุฉูุงู†ุช ุจุชู†ูุณุด ุงู„ู„ูŠ ุงุฒู…ูŠู„ูƒ ู„ุฃู† ุงู†ุชูˆุง
2104
+
2105
+ 527
2106
+ 00:39:25,380 --> 00:39:30,120
2107
+ ุจุงู„ุนูƒุณ ุงู†ุชูˆุง ูุฑูŠู‚ ูˆุงุญุฏ ุญุชู‰ ู„ูˆ ูˆุตู„ุช ู„ .. ู„ู„ .. ู„ู„
2108
+
2109
+ 528
2110
+ 00:39:30,120 --> 00:39:35,240
2111
+ .. ุงู„ .. ุงู„ gun keeper ุงูŠุด ุจุฏูƒ ุชุนู…ู„ุŸ ุจุชู…ุฑุฑู„ู‡ ุนุดุงู†
2112
+
2113
+ 529
2114
+ 00:39:35,240 --> 00:39:39,100
2115
+ ูŠุฌูŠุจู‡ ู„ุฃู†ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ูƒู… ู…ุณุชููŠุฏูŠู† ู…ู† ุงู„ gun ูู‡ุฐุง
2116
+
2117
+ 530
2118
+ 00:39:39,100 --> 00:39:43,980
2119
+ ุงู„ุตุญ ุงู„ู…ูุฑูˆุถ ูŠุนู†ูŠ ุทูŠุจ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„ูƒ ูƒู„
2120
+
2121
+ 531
2122
+ 00:39:43,980 --> 00:39:52,140
2123
+ E ูŠู†ุชู…ูŠ ู„capital E ูู‡ูˆ ูุนู„ูŠุง ูŠูˆุฌุฏ V1 ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ
2124
+
2125
+ 532
2126
+ 00:39:52,140 --> 00:39:57,690
2127
+ ุงู„ุฃูˆู„ู‰ูƒูˆูŠุณุŸ ูˆ V2 ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุชุงู†ูŠุฉ ุจูŠู†ู‡ู… ุงู„
2128
+
2129
+ 533
2130
+ 00:39:57,690 --> 00:40:00,450
2131
+ relation ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ small e ุจูŠู†ู‡ู… ุงู„ relation
2132
+
2133
+ 534
2134
+ 00:40:00,450 --> 00:40:08,290
2135
+ small a ูŠูˆุฌุฏ .. ูŠูˆุฌุฏ ู„ูƒู„ E ูŠูˆุฌุฏ V ู…ู† ู‡ู†ุง ูˆ V ู…ู†
2136
+
2137
+ 535
2138
+ 00:40:08,290 --> 00:40:13,310
2139
+ ู‡ู†ุง ุทูŠุจ ู…ู…ูƒู† ู…ุงูŠูˆุฌุฏุด ูŠุนู†ูŠ ุจู…ุนู†ู‰ ุฃู†ู‡ ู†ู„ุงู‚ูŠ ุงู„ูุฑูŠู‚
2140
+
2141
+ 536
2142
+ 00:40:13,310 --> 00:40:16,530
2143
+ ู‡ู†ุง ูˆ ุงู„ูุฑูŠู‚ ู‡ู†ุง ูƒู„ ูˆุงุญุฏ relation ู…ุน ุงู„ุชุงู†ูŠ ุฒูŠ
2144
+
2145
+ 537
2146
+ 00:40:16,530 --> 00:40:20,030
2147
+ ุงู„ู…ุฏุฑุจ ู„ู…ุง ูŠู‚ูˆู„ ู„ูƒู„ ูˆุงุญุฏ ู…ู† ุงู„ูุฑูŠู‚ ๏ฟฝ๏ฟฝุฏูˆู„ุฉ ุฃู†ุช ุจุชู…ุณูƒ
2148
+
2149
+ 538
2150
+ 00:40:20,030 --> 00:40:24,690
2151
+ ุงู„ู„ุงุนุจ ู„ูู„ุงู†ูŠู…ู…ูƒู† ุงู„ุฏูุงุน ู‡ูŠูƒูˆู† ู„ู‡ ู†ุตูŠุจ ูˆูŠู…ุณูƒ ุงุชู†ูŠู†
2152
+
2153
+ 539
2154
+ 00:40:24,690 --> 00:40:27,590
2155
+ ู…ุซู„ุง ู„ูŠุดุŸ ู„ุฃู†ู‡ ุงู„ุงุชู†ูŠู† ุงู„ู…ู‡ุงุฌู…ูŠู† ูุงู†ุช ู„ุฃ ุงู†ุช ุจุฏูƒ
2156
+
2157
+ 540
2158
+ 00:40:27,590 --> 00:40:31,490
2159
+ ุชู…ุณูƒ ุงู„ุงุชู†ูŠู† ุงุฐุง ู‚ู„ุจ ุงู„ุฏูุงุน ุชู…ุงู… ูู‡ู†ุง ูƒุฃู†ูƒ ุจุชุนู…ู„
2160
+
2161
+ 541
2162
+ 00:40:31,490 --> 00:40:38,110
2163
+ relation ุนู„ู‰ ุงู„ูˆุฑู‚ ู„ุนูŠุจ ูŠู…ุณูƒูˆุง ุจุนุถ ุทูŠุจ ู‡ุฐู‡ ุงู„ููƒุฑุฉ
2164
+
2165
+ 542
2166
+ 00:40:38,110 --> 00:40:44,290
2167
+ vertices ุงูˆ vertex set one ูˆ vertex set two ูู‡ุฐู‡
2168
+
2169
+ 543
2170
+ 00:40:44,290 --> 00:40:48,870
2171
+ ุจุชุณู…ูŠู‡ุง by parts ู„ุฃู† ุงู†ุช ุจุชูุตู„ู‡ู… ู„ two parts
2172
+
2173
+ 544
2174
+ 00:40:51,820 --> 00:40:56,600
2175
+ ุทูŠุจ ู„ู…ุง ุฃู‚ูˆู„ complete bipartate ู…ุนู†ุงุชู‡ ุงู„ู…ู†ุงูุณุฉ
2176
+
2177
+ 545
2178
+ 00:40:56,600 --> 00:41:03,840
2179
+ ุนู„ู‰ ู…ูุชูˆุญุฉ ุงู„ู…ู†ุงูุณุฉ ู‡ู†ุง ู…ูุชูˆุญุฉ ูƒู„ ุนู†ุตุฑ ู…ู† ุงู„
2180
+
2181
+ 546
2182
+ 00:41:03,840 --> 00:41:08,680
2183
+ vertex ุงู„ุฃูˆู„ู‰ ู‡ูˆ ู…ุชุตู„ ุฃูˆ ูŠูˆุฌุฏ relation ู…ุน ูƒู„ ุนู†ุตุฑ
2184
+
2185
+ 547
2186
+ 00:41:08,680 --> 00:41:13,520
2187
+ ุฃูˆ ู…ุน ุฃูŠ ุนู†ุตุฑ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุชุงู†ูŠุฉูุฅุฐุง ูƒู„ ุนู†ุตุฑ ู„ู‡
2188
+
2189
+ 548
2190
+ 00:41:13,520 --> 00:41:16,680
2191
+ ุนู„ุงู‚ุฉ ู…ุน ุฃูŠ ุนู†ุตุฑ ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุชุงู†ูŠุฉ ูˆุงู„ุนูƒุณ ุตุญูŠุญ
2192
+
2193
+ 549
2194
+ 00:41:16,680 --> 00:41:21,260
2195
+ ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุชุงู†ูŠุฉ ุจุฑุถู‡ ูƒู„ ุนู†ุตุฑ ู„ู‡ ุนู„ุงู‚ุฉ ู…ุน ุฃูŠ
2196
+
2197
+ 550
2198
+ 00:41:21,260 --> 00:41:25,500
2199
+ ุนู†ุตุฑ ู…ู† ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃูˆู„ู‰ ุชู…ุงู… ูู‡ุฏูุด ููŠู‡ุง ูƒุชูŠุฑ ู…ุดูƒู„ุฉ
2200
+
2201
+ 551
2202
+ 00:41:25,500 --> 00:41:30,640
2203
+ ู…ุนู†ุงุชู‡ ุงู† ู†ุชูƒู„ู… ุนู† ุงู„ูƒู„Okay ู‡ูˆ ุดุฑูŠุญุฉ ู‡ู†ุง ุจุงู„ู„ูˆู†
2204
+
2205
+ 552
2206
+ 00:41:30,640 --> 00:41:34,880
2207
+ ุงู„ุฃุฒุฑู‚ ุงู„ู„ูŠ ู‡ูˆ in the left part n nodes ุฃูˆ ูƒู„ m
2208
+
2209
+ 553
2210
+ 00:41:34,880 --> 00:41:38,640
2211
+ nodes ู…ู† ุงู„ left part ูˆ ุงู„ n nodes ููŠ ุงู„ right
2212
+
2213
+ 554
2214
+ 00:41:38,640 --> 00:41:42,460
2215
+ part every node in the left part is connected to
2216
+
2217
+ 555
2218
+ 00:41:42,460 --> 00:41:47,600
2219
+ every node in the right partุทุจ ู…ุงููŠุด ูƒุชูŠุฑ ู…ุดูƒู„ุฉ
2220
+
2221
+ 556
2222
+ 00:41:47,600 --> 00:41:50,340
2223
+ ู„ู…ุง ุจุชู‚ูˆู„ ุฌุฏูŠุด ุนุฏุฏ ุงู„ vertices ู‡ู†ุง ูู‡ูŠ ู…ุฌู…ูˆุนุฉ
2224
+
2225
+ 557
2226
+ 00:41:50,340 --> 00:41:54,440
2227
+ ุงู„ุฃุชู†ูŠู† ุฌุฏูŠุด ุนุฏุฏ ุงู„ connection ุงู„ู„ูŠ ู‡ูŠ ุงู„ edges
2228
+
2229
+ 558
2230
+ 00:41:54,440 --> 00:41:58,620
2231
+ ุถุฑุจ ุงู„ุฃุชู†ูŠู† ููŠ ุจุนุถ ูŠุนู†ูŠ ู…ุด ูƒุชูŠุฑ ู…ุดูƒู„ุฉ ููŠ ุงู„ุญู„ู‚ุฉ ุฏูŠ
2232
+
2233
+ 559
2234
+ 00:41:58,620 --> 00:42:03,180
2235
+ ุทูŠุจ ู„ู…ุง ุจู‚ูˆู„ sub graph ู„ู…ุง ุจู†ุญูƒูŠ ุนู† sub graph sub
2236
+
2237
+ 560
2238
+ 00:42:03,180 --> 00:42:08,020
2239
+ graph ุจุจุณุงุทุฉ ู‡ูˆ G ู„Graph ูŠุญุชูˆูŠ ุนู„ู‰ ู…ุฌู…ูˆุนุฉ vertices
2240
+
2241
+ 561
2242
+ 00:42:08,020 --> 00:42:13,760
2243
+ ูˆ edges ูˆ ุจู†ู‚ุฏุฑ ู†ุณู…ูŠ ุงู† ููŠ ุนู†ุฏูƒ H ูƒ sub graph ู…ู†
2244
+
2245
+ 562
2246
+ 00:42:13,760 --> 00:42:20,000
2247
+ ุงู„ G ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุงู„ sub graph ุนุฏุฏ ุงู„ vertices
2248
+
2249
+ 563
2250
+ 00:42:20,000 --> 00:42:26,110
2251
+ ุชุจุนุชู‡ู‡ูŠ subset ู…ู† ุนุฏุฏ ุงู„ vertices ู„ู„graph ุงู„ุฃุตู„ูŠ
2252
+
2253
+ 564
2254
+ 00:42:26,110 --> 00:42:30,530
2255
+ ุทูŠุจ ุนุฏุฏ ุงู„ edges ุจุฑุถู‡ ู‡ูŠ subset ู…ู† ุนุฏุฏ ุงู„ edges
2256
+
2257
+ 565
2258
+ 00:42:30,530 --> 00:42:35,690
2259
+ ู„ู„graph ุงู„ุฃุตู„ูŠ ูŠุนู†ูŠ ุจุจุณุงุทุฉ ุงู„ graph ุงู„ู„ูŠ ู‚ุฏุงู…ูƒ ู‡ู†ุง
2260
+
2261
+ 566
2262
+ 00:42:35,690 --> 00:42:43,650
2263
+ ู‡ุฐุง ุทู„ุน ู…ู†ู‡ ุฃูŠ nodes ู…ุน ุฃูŠ edges ุจูŠุณุงูƒู„ ุฌุฒุก ุงูŠู‡
2264
+
2265
+ 567
2266
+ 00:42:43,650 --> 00:42:47,370
2267
+ ุทู„ุนู‡ู… ุนู„ู‰ ุฌู†ุจ ุจูŠุทู„ุนูˆุง ูƒุฃู†ู‡ sub graph ูƒุฃู†ู‡ sub
2268
+
2269
+ 568
2270
+ 00:42:47,370 --> 00:42:51,720
2271
+ graph ู‡ูˆ graph ุฌุฒุก ุงูŠู‡ ู…ู†ู‡ุงู„ู…ุง ุชู‚ูˆู„ ุฌุฒุก ู…ุซู„ุง ุจู‡ุฐุง
2272
+
2273
+ 569
2274
+ 00:42:51,720 --> 00:42:56,460
2275
+ ุงู„ุดูƒู„ ุจุชุทู„ุนู‡ ู‡ูˆ ูุนู„ูŠุง ูƒู„ ุดูŠุก ู…ูˆุฌูˆุฏ ู‡ู†ุง ู‡ูˆ ู…ูˆุฌูˆุฏ ููŠ
2276
+
2277
+ 570
2278
+ 00:42:56,460 --> 00:43:00,800
2279
+ ุงู„ุฃุตู„ ูˆุงู„ุนูƒุณ ุบูŠุฑ ุตุญูŠุญ ูู‡ูŠ sub set ูุตุงุฑุช ุงุณู…ู‡ุง sub
2280
+
2281
+ 571
2282
+ 00:43:00,800 --> 00:43:04,280
2283
+ graph ู„ุฅู† ุฃู†ุง ุจุชุนุงู…ู„ ููŠ ู…ุนุงู‡ set ุตุญูŠุญ ุฃู†ุง ุจุนุฑูู‡ุง
2284
+
2285
+ 572
2286
+ 00:43:04,280 --> 00:43:09,720
2287
+ ุจุงู„ set ุจุณ ู‡ู†ุง ุฑูŠุงุถูŠุง ุตุงุฑ ุงุณู…ู‡ graph ูsub graph ููŠ
2288
+
2289
+ 573
2290
+ 00:43:09,720 --> 00:43:14,430
2291
+ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุจู†ุชูƒู„ู… ุนู†ู‡ุง ุทูŠุจGraph Unions ุงู„ู€ Graph
2292
+
2293
+ 574
2294
+ 00:43:14,430 --> 00:43:17,170
2295
+ Unions ุจูƒู„ ุจุณุงุทุฉ ุจุฑุถู‡ ุนู†ุฏูƒ two graphs ูˆ ุจุชุญุทู‡ู…
2296
+
2297
+ 575
2298
+ 00:43:17,170 --> 00:43:20,670
2299
+ ุจุชุดูู‡ู… ุนู„ู‰ ุจุนุถ ูŠุนู†ูŠ ู‡ูŠูƒ ุชุฑุณู… ุงู„ุงุชู†ูŠู† ู…ุน ุจุนุถู‡ู… ู…ุน
2300
+
2301
+ 576
2302
+ 00:43:20,670 --> 00:43:26,150
2303
+ ุจุนุถู‡ู… ู‚ุฏ ูŠูƒูˆู† ููŠ ุฃุฌุฒุงุก ู…ุดุชุฑูƒุฉ ููŠ ุงู„ุขุฎุฑ ู„ู…ุง ูŠูƒูˆู†
2304
+
2305
+ 577
2306
+ 00:43:26,150 --> 00:43:32,470
2307
+ ุนู†ุฏูƒ ABCDE ABCDE EF ูƒู…ุงู† ู‡ู†ุง ุจุชู‚ุฏุฑ ุชุนู…ู„ู‡ู… ู…ุน ุจุนุถ
2308
+
2309
+ 578
2310
+ 00:43:32,470 --> 00:43:35,690
2311
+ ูุจุชู‚ุฏุฑ ุชู‚ูˆู„ ุงู† ุงู„ู€ G1 ุงูˆ ุงู„ุฌุฑุงู ุงู„ุฃูˆู„ Union ุงู„ุฌุฑุงู
2312
+
2313
+ 579
2314
+ 00:43:35,690 --> 00:43:41,240
2315
+ ุงู„ุชุงู†ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู†ุงู„ vertices ู„ู„ุฃูˆู„ ุงุชุญุงุฏ ุงู„
2316
+
2317
+ 580
2318
+ 00:43:41,240 --> 00:43:46,560
2319
+ vertices ู„ู„ุชุงู†ูŠ ูˆ ุงุชุญุงุฏ ุงู„ edges ู„ู„ุฃูˆู„ ู…ุน ุงู„ edges
2320
+
2321
+ 581
2322
+ 00:43:46,560 --> 00:43:51,520
2323
+ ู„ู„ุชุงู†ูŠ ุจุชุญุท ูƒู„ ู‡ุฏูˆู„ ู…ุน ูƒู„ ู‡ุฏูˆู„ ููˆู‚ ุจุนุถ ูˆุจุชุตูŠุฑ ุนู†ุฏูƒ
2324
+
2325
+ 582
2326
+ 00:43:51,520 --> 00:43:58,870
2327
+ ุงุชุญุงุฏ ุงู„ two graphs ู…ุน ุจุนุถู‡ู…ุจู‡ุฐุง ุงู„ุดูƒู„ ูุจุตูŠุฑ ุนู†ุฏูƒ
2328
+
2329
+ 583
2330
+ 00:43:58,870 --> 00:44:03,290
2331
+ graph totally ู‡ูˆ ุงุชุญุงุฏ ุงู„ุงุชู†ูŠู† ู…ุน ุจุนุถ ู‡ูˆ ุงุชุญุงุฏ
2332
+
2333
+ 584
2334
+ 00:44:03,290 --> 00:44:10,770
2335
+ ุงู„ุงุชู†ูŠู† ู…ุน ุจุนุถู‡ู… ุทูŠุจ ุงู„ complementary graph ุงู„
2336
+
2337
+ 585
2338
+ 00:44:10,770 --> 00:44:16,990
2339
+ complementary graph ุจุจุณุงุทุฉ ุฌุฏุง ู‡ูŠ ูƒู„ graph ุจุชุฎุตู…ู‡
2340
+
2341
+ 586
2342
+ 00:44:16,990 --> 00:44:22,710
2343
+ ู…ู† ุงู„ complete graph ุชุจุน ุนุฏุฏ ุงู„ nodes ูƒู„ graph ู‡ูˆ
2344
+
2345
+ 587
2346
+ 00:44:22,710 --> 00:44:28,340
2347
+ ุนุจุงุฑุฉ ุนู†ู„ู…ุง ุจู‚ูˆู„ ุงู„ู€ complementary ู„ุฃูŠ graph ูŠุนู†ูŠ
2348
+
2349
+ 588
2350
+ 00:44:28,340 --> 00:44:33,820
2351
+ ูƒุฃู†ูŠ ุจุฏูŠ ุฃู…ุณูƒ ุงู„ graph ู†ูุณู‡ ูˆ ุฃุทุฑุญู‡ ู…ู† ุงู„ complete
2352
+
2353
+ 589
2354
+ 00:44:33,820 --> 00:44:40,000
2355
+ graph ู„ู„ vertices ุชุจุนุชู‡ ุจู…ุนู†ู‰ ู„ูˆ ุงูุชุฑุถู†ุง ู…ุซู„ุง ..
2356
+
2357
+ 590
2358
+ 00:44:40,000 --> 00:44:43,340
2359
+ ุฎู„ู‘ูŠู†ุง ู†ุดูˆู ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุจู†ุณู…ูŠู‡ ูƒู…ุงู† G bar ุจู‡ุฐุง
2360
+
2361
+ 591
2362
+ 00:44:43,340 --> 00:44:47,060
2363
+ ุงู„ุดูƒู„ ูู‡ูˆ ุงู„ complementary ู„ุฅู„ู‡ ู‡ูˆ ุงู„ู…ูƒู…ู„ ุชุจุนู‡ ู„ู„
2364
+
2365
+ 592
2366
+ 00:44:47,060 --> 00:44:54,140
2367
+ G okay ุจู…ุนู†ู‰ ุฅู†ู‡ ู‡ู†ุง ู„ูˆ ููŠ ู…ุซู„ุง ุนู†ุฏูŠ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ุงู„ู€
2368
+
2369
+ 593
2370
+ 00:44:54,140 --> 00:44:58,100
2371
+ adjacency ุชุจุนุชู‡ุง ู…ุน ุงู„ุฃุฑุจุน ู†ู‚ุงุท ุงู„ู„ูŠ ุญูˆุงู„ูŠู‡ุง ุฅุฐุง
2372
+
2373
+ 594
2374
+ 00:44:58,100 --> 00:45:01,040
2375
+ ู…ูˆุฌูˆุฏูŠู† ูƒู„ู‡ู… ููŠ G ุงู„ู…ูุฑูˆุถ ู„ุง ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ููŠ
2376
+
2377
+ 595
2378
+ 00:45:01,040 --> 00:45:05,460
2379
+ ู…ูŠู†ุŸ ููŠ ุงู„ complementary ุงู„ู„ูŠ ุฃู‚ู„ู‡ุง ูุงู„ adjacency
2380
+
2381
+ 596
2382
+ 00:45:05,460 --> 00:45:08,940
2383
+ ู‡ู†ุง ู‡ูŠ ุงู„ู„ูŠ ุจุชูุฑุฌ ู…ุนุงู†ุง ููŠ ูƒู„ ู†ู‚ุทุฉ ู…ู† ุงู„ู†ู‚ุงุท .. ููŠ
2384
+
2385
+ 597
2386
+ 00:45:08,940 --> 00:45:11,820
2387
+ ูƒู„ ู†ู‚ุทุฉ ู…ู† .. ู…ู† ุงู„ู†ู‚ุงุท ุจู…ุนู†ู‰ ู„ู…ุง ู†ูŠุฌูŠ ู†ุดูˆู ุงู„ ..
2388
+
2389
+ 598
2390
+ 00:45:11,820 --> 00:45:16,600
2391
+ ุงู„ .. ุงู„ .. ุงู„ุฃูˆู„ ู‡ูˆ ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ K5 ุงู„ K5 ู‡ุฐู‡ ุจุฏูŠ
2392
+
2393
+ 599
2394
+ 00:45:16,600 --> 00:45:20,630
2395
+ ุฃุฌูŠุจ ุงู„ complementary ุชุจุนู‡ุงุจุฏูŠ ุฃุญุท ุงู„ู†ู‚ุงุช ุฒูŠ ู…ุง ู‡ู…
2396
+
2397
+ 600
2398
+ 00:45:20,630 --> 00:45:25,730
2399
+ ุตุญูŠุญุŸ ุจุฏูŠ ุฃูุชุฑุถ ุฃู† ู‡ุงูŠ ุงู„ู†ู‚ุงุช ุฒูŠ ู…ุง ู‡ู… ุถุงู„ูˆุง ูˆู†ุดูˆู
2400
+
2401
+ 601
2402
+ 00:45:25,730 --> 00:45:35,270
2403
+ ูƒู„ edge ู…ูˆุฌูˆุฏุฉ ูƒุงู†ุช ููŠ K5 ุจุฏูŠุด ุฃุญุทู‡ุง ุฅูŠุด ุจุถู„ ุนู†ุฏ
2404
+
2405
+ 602
2406
+ 00:45:35,270 --> 00:45:41,070
2407
+ edges ู…ุด ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŸ ู…ูŠู† ุถุงู„ ููŠ edgesุŸ ููŠ ุถุงู„ ุฃูŠ
2408
+
2409
+ 603
2410
+ 00:45:41,070 --> 00:45:46,020
2411
+ edge ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุบูŠุฑ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŸู„ูˆ ููŠ ุงูŠ H ุบูŠุฑ
2412
+
2413
+ 604
2414
+ 00:45:46,020 --> 00:45:48,980
2415
+ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ู„ุงุฒู… ู†ุญุทู‡ ู‡ู†ุง ููŠ ุงู„ complementary ุนุดุงู†
2416
+
2417
+ 605
2418
+ 00:45:48,980 --> 00:45:54,920
2419
+ ู†ุตุจุญ ู…ูƒู…ู„ูŠู† ู„ุจุนุถ ุจุญูŠุซ ุงู†ู‡ ู„ู…ุง ุงุนู…ู„ ุงุชุญุงุฏ ุงู„ุงุชู†ูŠู†
2420
+
2421
+ 606
2422
+ 00:45:54,920 --> 00:46:00,200
2423
+ ู…ุน ุจุนุถ ูŠุนุทูŠู†ูŠ ุงู„ complement K ุทุจุนุง ูˆุงุถุญ ุงู† ู‡ู†ุง Phi
2424
+
2425
+ 607
2426
+ 00:46:00,200 --> 00:46:05,780
2427
+ ู„ูŠุดุŸ ู„ุฃู† ู‡ุฐู‡ ุฃุตู„ุง complete ุฎู…ุณุฉ complete ุฎู…ุณุฉ ู‡ูŠ
2428
+
2429
+ 608
2430
+ 00:46:05,780 --> 00:46:07,160
2431
+ ุฃุณุงุณุง complete ุฎู…ุณุฉ
2432
+
2433
+ 609
2434
+ 00:46:09,760 --> 00:46:14,900
2435
+ ู‡ูŠ .. ุฅูŠุด ู‡ุฐู‡ ู„ุฃ ุฎู„ูŠู†ุง ู†ูุชุฑุถ .. ู†ูุชุฑุถ ุงู„ู†ูˆุน ุญุฏู‡
2436
+
2437
+ 610
2438
+ 00:46:14,900 --> 00:46:16,860
2439
+ ู‡ุฐู‡ ุงู„ูˆุฌู‡ ุงู„ู„ูŠ ุงุญู†ุง ุฌูˆู„ู†ุง ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ wheels
2440
+
2441
+ 611
2442
+ 00:46:16,860 --> 00:46:23,000
2443
+ ุฃุฑุจุนุฉ ู…ุด ู‡ูŠูƒ ู‡ุฐู‡ wheel ุฃุฑุจุนุฉ ุงู„ุฃุฑุจุนุฉ ู‡ุฐู‡ ุจุฏู†ุง ู†ุฌูŠุจ
2444
+
2445
+ 612
2446
+ 00:46:23,000 --> 00:46:26,480
2447
+ ุงู„ complementary ุชุจุนู‡ุง complementary ุชุจุนู‡ุง ูุจุฏู‰
2448
+
2449
+ 613
2450
+ 00:46:26,480 --> 00:46:29,560
2451
+ ุจุฑุถู‡ ุฃุฎุฏู‡ู… ุงู„ nodes ู„ุญุงู„ู‡ู… ูˆ ู†ุดูˆู ุฅูŠุด ุงู„ู„ูŠ ุถุงู„
2452
+
2453
+ 614
2454
+ 00:46:29,560 --> 00:46:37,820
2455
+ ู…ุชุจู‚ูŠ ูƒ edges ู…ุด ู…ูˆุฌูˆุฏ ู‡ู†ุง ูˆูŠู†
2456
+
2457
+ 615
2458
+ 00:46:37,820 --> 00:46:38,300
2459
+ ุงู„ glam
2460
+
2461
+ 616
2462
+ 00:46:41,340 --> 00:46:45,920
2463
+ ู‡ุชู†ุดูˆู ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู…ุชุตู„ุฉ ู…ุน ู‡ุฐู‡ ูˆ ู…ุน ู‡ุฐู‡ ูˆ ู…ุน ู‡ุฐู‡
2464
+
2465
+ 617
2466
+ 00:46:45,920 --> 00:46:54,220
2467
+ ุจุณ ู…ุด ู…ุน ู‡ุฐู‡ ุตุญุŸ ุชู…ุงู… ูู‡ูŠ ุนู†ุฏูŠ connection ู„ุงุฒู…
2468
+
2469
+ 618
2470
+ 00:46:54,220 --> 00:46:58,760
2471
+ ูŠู†ุนู…ู„ ู‡ู†ุง ุทูŠุจ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ู…ุชุตู„ุฉ ู…ุน ู‡ุฐู‡ ูˆ ู…ุน ู‡ุฐู‡ ูˆ
2472
+
2473
+ 619
2474
+ 00:46:58,760 --> 00:47:02,460
2475
+ ู…ุน ู‡ุฐู‡ ุจุณ ู…ุด ู…ุน ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ููŠ connection ู„ุงุฒู… ูŠูƒูˆู†
2476
+
2477
+ 620
2478
+ 00:47:02,460 --> 00:47:06,460
2479
+ ู‡ู†ุง ุทูŠุจ ู†ูุณ ุงู„ูƒู„ุงู… ู‡ู†ุง ู‡ุฐู‡ ู…ุชุตู„ุฉ ู‡ู†ุง ูˆ ู‡ู†ุง ูˆ ู‡ู†ุง
2480
+
2481
+ 621
2482
+ 00:47:06,460 --> 00:47:10,240
2483
+ ู…ุงูƒู†ุด ููŠ ุงุชุตุงู„ ู‡ู†ุง ุงุญู…ู„ ู„ุง ู„ุง ู‡ูŠุนู…ู„ู†ุง ู„ู‡ุงุŒ ุฎู„ุงุตุŒ
2484
+
2485
+ 622
2486
+ 00:47:10,240 --> 00:47:17,020
2487
+ ู‡ุงูŠ ุจูƒู„ ุจุณุงุทุฉ ุงู„ complementary ู„ู…ูŠู†ุŸ ู„ W ุฃุฑุจุนุฉุŒ ู„
2488
+
2489
+ 623
2490
+ 00:47:17,020 --> 00:47:21,120
2491
+ W ุฃุฑุจุนุฉ ุฃูˆ ุงู„ wheel with degree ุฃุฑุจุนุฉุŒ with degree
2492
+
2493
+ 624
2494
+ 00:47:21,120 --> 00:47:28,100
2495
+ ุฃุฑุจุนุฉ ุชู…ุงู…ุŒ
2496
+
2497
+ 625
2498
+ 00:47:28,100 --> 00:47:31,520
2499
+ ุจุฑุถู‡ ู…ุด ุตุนุจ ูƒุชูŠุฑุŒ ู…ุด ุดูƒุŒ ูุงู†ุช ุงู„ reference ุชุจุนูƒ ุฃูˆ
2500
+
2501
+ 626
2502
+ 00:47:31,520 --> 00:47:33,580
2503
+ ุงู„ university discourse ุชุจุนูƒ ู‡ูˆ ุงู„ complete ู„ู†ูุณ
2504
+
2505
+ 627
2506
+ 00:47:33,580 --> 00:47:37,770
2507
+ ุงู„ degreeุŒ ู„ู†ูุณ ุงู„ degreeุจู…ุนู†ู‰ ุงู† ุงู„ู€ W ุชูุชุฑุถ ุงู†
2508
+
2509
+ 628
2510
+ 00:47:37,770 --> 00:47:43,110
2511
+ ู‡ูŠ ุงู„ู€ K ุฃุฑุจุนุฉ ุงูŠุด ูŠู†ู‚ุตู‡ุง ุนุดุงู† ุชุชูƒู…ู„ ุนู„ูŠู‡ุง ุฏูŠ
2512
+
2513
+ 629
2514
+ 00:47:43,110 --> 00:47:49,950
2515
+ ูุจุชูƒูˆู† ู‡ูŠ ุงู„ edges ุงู„ุฅุถุงููŠุฉ ุงู„ู„ูŠ ุจู†ุญุชุงุฌู‡ุง ุฎู„ุงุต
2516
+
2517
+ 630
2518
+ 00:47:49,950 --> 00:47:52,450
2519
+ ุจุชู‡ูŠุฃู„ูŠ ุจูŠูƒููŠ ู‡ูŠูƒูŠ ู„ู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุจู†ุงุฎุฏ ุนู…ู„ูŠุฉ ุงู„
2520
+
2521
+ 631
2522
+ 00:47:52,450 --> 00:47:56,770
2523
+ graph representations ูˆ ุงู„ isomorphism ูˆ ู‡ู†ุชุนุฑู
2524
+
2525
+ 632
2526
+ 00:47:56,770 --> 00:47:59,130
2527
+ ุงูŠู‡ ุงู†ุช ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู† ุงู„ graphs ู‡ูŠ isomorphic
2528
+
2529
+ 633
2530
+ 00:47:59,130 --> 00:48:02,850
2531
+ ู„ุจุนุถู‡ุง ุฃูŠ ู…ุชู…ุงุซู„ุฉ ู…ุน ุจุนุถ ุญุชู‰ ู„ูˆ ุงุชุบูŠุฑ ุดูƒู„ู‡ุง
2532
+
2533
+ 634
2534
+ 00:48:02,850 --> 00:48:04,050
2535
+ ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ ูˆุจุฑูƒุฉ ุงู„ู„ู‡ ููŠูƒู…
2536
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/8xkYue4rNFU_postprocess.srt ADDED
@@ -0,0 +1,1944 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,080 --> 00:00:07,580
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ุงู„ูŠูˆู… ุงู†
4
+
5
+ 2
6
+ 00:00:07,580 --> 00:00:11,450
7
+ ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ู‡ู†ุงุฎุฏ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุชุงู†ูŠุฉ ู…ู† ู…ุฌู…ูˆุนุฉ
8
+
9
+ 3
10
+ 00:00:11,450 --> 00:00:15,030
11
+ ุงู„ู…ุฑุงุฌุนุฉ ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ู‡ู†ุชูƒู„ู… ููŠู‡ู… ุดูˆูŠุฉ ุนู„ู‰ ุงู„
12
+
13
+ 4
14
+ 00:00:15,030 --> 00:00:17,430
15
+ encryption ู†ุนุฑุฌ ุนู„ู‰ ุงู„ encryption ูˆููŠู‡ ุดูˆูŠุฉ ุญุงุฌุงุช
16
+
17
+ 5
18
+ 00:00:17,430 --> 00:00:21,330
19
+ ู‡ูŠูƒ ุจุฏู†ุง ู†ุงุฎุฏู‡ุง ุจูƒู„ ุจุณุงุทุฉ ุงู„ encryption ุงู„ู„ูŠ ู‡ุชูƒู„ู…
20
+
21
+ 6
22
+ 00:00:21,330 --> 00:00:24,290
23
+ ุนู†ู‡ ุฃูˆู„ ู†ูˆุน ู…ู† ุฃู†ูˆุงุน ุงู„ encryption ุงู„ู„ูŠ ู‡ูŠ ุฎุฏู†ุงู‡ุง
24
+
25
+ 7
26
+ 00:00:24,290 --> 00:00:28,870
27
+ ุฏุงุนุฉ Caesar .. Caesar ุจูƒู„ ุจุณุงุทุฉ ูƒุงู†ุช linear ูˆู…ุงูƒู†ุด
28
+
29
+ 8
30
+ 00:00:28,870 --> 00:00:32,050
31
+ ููŠู‡ุง ูƒุชูŠุฑ ู…ุดูƒู„ุฉ ูˆูƒุงู† ุฃุญุฏ ุงู„ุฃุณุฆู„ุฉ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช
32
+
33
+ 9
34
+ 00:00:32,050 --> 00:00:34,870
35
+ ูˆุนู„ูŠู‡ ุฏุฑุฌุชูŠู† ู‡ูŠูƒ ุน ุงู„ุณุฑูŠุน ุงู„ูˆุงุญุฏ ุงู„ู…ูุฑูˆุถ ูŠุงุฎุฏ
36
+
37
+ 10
38
+ 00:00:34,870 --> 00:00:39,500
39
+ ู‡ุงู„ุฏุฑุฌุชูŠู† ูˆูŠู…ุดูŠูƒุงู†ุช ุนุจุงุฑุฉ ุนู† encrypted message
40
+
41
+ 11
42
+ 00:00:39,500 --> 00:00:45,860
43
+ ุงู„ู…ูุฑูˆุถ ู†ุนุฑู ููŠู‡ ุงูŠุด ุฃุตู„ู‡ุง ูˆูŠุนุทูŠูƒ ุงู„ code ุงู„ู„ูŠ ุชุจุน
44
+
45
+ 12
46
+ 00:00:45,860 --> 00:00:55,900
47
+ ุงู„ encryption ุงู„ู„ูŠ ู‡ูˆ fp ุจุชุณุงูˆูŠ p plus 7 ูˆู…ุฏูˆู„ูˆ 26
48
+
49
+ 13
50
+ 00:00:56,310 --> 00:01:00,550
51
+ ูุงู„ุฃู‡ู… ุฏู‡ ู…ู† ุชุถูŠูุช ุณุจุนุฉ ูŠุนู†ูŠ ุจุฏูƒ ุชุทุฑุญ ุณุจุนุฉ ูู‡ุฐุง
52
+
53
+ 14
54
+ 00:01:00,550 --> 00:01:04,070
55
+ ู…ุนู†ุงู‡ ุจูƒู„ ุจุณุงุทุฉ ุฃู†ู‡ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุงู„ุญุฑูˆู ุจู‡ุฐุง ุงู„ุดูƒู„
56
+
57
+ 15
58
+ 00:01:04,070 --> 00:01:06,110
59
+ ุงู„ letters ู…ุดู…ูˆุนุฉ ุงู„ letters ุจุชุจุนุชูƒ ุจู‡ุฐุง ุงู„ุดูƒู„
60
+
61
+ 16
62
+ 00:01:06,110 --> 00:01:10,530
63
+ ู…ุนู†ุงุชู‡ ุงู„ a ู‡ุฐุง ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ุณุงู„ุจ ุณุจุนุฉ ูŠุนู†ูŠ ุจุฏู‡
64
+
65
+ 17
66
+ 00:01:10,530 --> 00:01:15,670
67
+ ูŠูŠุฌูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุน ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุงู„ู…ูุฑูˆุถ
68
+
69
+ 18
70
+ 00:01:15,670 --> 00:01:20,490
71
+ ุชูŠุฌูŠ ู‡ู†ุง ุงู„ a ุงู„ู…ูุฑูˆุถ ุชูŠุฌูŠ ู‡ู†ุง ูุจู†ุงุฎุฏ ุงู„ a ูˆ
72
+
73
+ 19
74
+ 00:01:20,490 --> 00:01:25,620
75
+ ุจู†ุญุทู‡ุง ูุนู„ุง ุงุจุชุฏุงุก ู…ู† ู‡ู†ุง ุซู… ุจู†ูƒู…ู„ุงู„ู„ูŠ ุฌุงุจ ู„ู„ ุฅูŠู‡ุŸ
76
+
77
+ 20
78
+ 00:01:25,620 --> 00:01:32,640
79
+ ุงู„ู„ูŠ ุฌุงุจ ู„ู„ ุฅูŠู‡ ููŠ ุฒุฏ ูˆุงุญุฏ ูƒุฐุง ุจุชูƒู…ู„ู‡ู… ูุงู„ุฃู† ุฃุตุจุญ
80
+
81
+ 21
82
+ 00:01:32,640 --> 00:01:37,020
83
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ..ุงู„ุฃู† ู…ู† ุงู„ุณู‡ู„ ุฌุฏุง ุฅู†ูƒ ุฃู†ุช ุชุจุฏุฃ ุชุฌูŠุจ
84
+
85
+ 22
86
+ 00:01:37,020 --> 00:01:40,660
87
+ ุงู„ message ุชุจุนุชูƒ ุจุงู„ุธุจุท ุงู„ุดูŠูŠุฉ ุทุจุนุง ุฒู…ุงู† ูƒุงู†ูˆุง
88
+
89
+ 23
90
+ 00:01:40,660 --> 00:01:43,500
91
+ ุจูŠุณุชุฎุฏู…ูˆุง ู‡ุฐุง ุงู„ู†ูˆุน ..ู‡ุฐุง ุงู„ู†ูˆุน ุฃูŠุงู… Caesar ุฃูŠุงู…
92
+
93
+ 24
94
+ 00:01:43,500 --> 00:01:47,200
95
+ ุงู„ูŠูˆู†ุงู†ุณ ุงู„ู‚ุฏู…ุงุก ูƒุงู†ูˆุง ุงู„ู‚ูŠุตุฑ ูƒุงู†ูˆุง ูุนู„ุง ุจูŠุณุชุฎุฏู…ูˆุง
96
+
97
+ 25
98
+ 00:01:47,200 --> 00:01:51,360
99
+ ุขู„ุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ุญุฑูˆู ู…ุทุจูˆุนุฉ ูˆ ุจุฑุง ูˆ ุฌูˆุง ูˆ ุจุญุฑูƒูˆุง
100
+
101
+ 26
102
+ 00:01:52,490 --> 00:01:55,810
103
+ ุญุณุจ ุงูƒู… shift ู…ุน ุงู„ูŠู…ูŠู† ูˆ ู„ุง ู…ุน ุงู„ุดู…ุงู„ ุงู„ู„ูŠ ู‡ูˆ ู…ุน
104
+
105
+ 27
106
+ 00:01:55,810 --> 00:01:58,670
107
+ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉ ุงูˆ ู…ุน ุงูˆ ุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉ ุงุฐุง ุจุชู†ู…ูŠู‡ุง
108
+
109
+ 28
110
+ 00:01:58,670 --> 00:02:03,530
111
+ ูŠุง ู…ูˆุฌุจ ูŠุง ุณุงู„ุจ ุงุญู†ุง ู„ูˆ ุจุชุดุชุบู„ู†ุง ุณุงู„ุจ ู‡ู†ุง ู‡ุฐู‡
112
+
113
+ 29
114
+ 00:02:03,530 --> 00:02:08,890
115
+ ู„ูู†ุงู‡ุง ุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉ ู„ุงุญุธุชูˆุง ูุตุฑุช ุณุงู„ุจ ุชู…ุงู…
116
+
117
+ 30
118
+ 00:02:08,890 --> 00:02:16,870
119
+ ูุงู„ุงู† ุงู„ I ู‡ูŠ ุงู„ I ุชู‚ุงุจู„ู‡ุง Bุญุฑู ุงู„ L ู‡ูŠู‚ุงุจู„ู‡ E ูˆ
120
+
121
+ 31
122
+ 00:02:16,870 --> 00:02:23,070
123
+ ู‡ูƒุฐุง ุณุช ู‡ูŠู‚ุงุจู„ู‡ S ูˆ T ูˆ ู‡ูƒุฐุง ู„ุงุญุธ ูุงู†ุช ุจุชุนู…ู„
124
+
125
+ 32
126
+ 00:02:23,070 --> 00:02:26,890
127
+ ุงู„ุชุฌุณูŠู…ุฉ ูƒุงู…ู„ุฉ ุทุจุนุง ุฅุฐุง ุจุฏู†ุง ู†ุนู…ู„ู‡ู… ู…ู…ูƒู† ู†ุนู…ู„ู‡ู…
128
+
129
+ 33
130
+ 00:02:26,890 --> 00:02:32,450
131
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ูŠุนู†ูŠ ู‡ุฐุง ู‡ูˆ ุชุฌุณูŠุฏ ู„ ุงู„ model ุงู„ู„ูŠ ูƒุงู†ูˆุง
132
+
133
+ 34
134
+ 00:02:32,450 --> 00:02:36,070
135
+ ูŠุณุชุฎุฏู…ูˆู‡ ุฒู…ุงู† ุฃูˆ ุงู„ุขู„ุฉ ุงู„ู„ูŠ ูƒุงู†ูˆุง ูŠุณุชุฎุฏู…ูˆู‡ุง ุฒู…ุงู†
136
+
137
+ 35
138
+ 00:02:36,070 --> 00:02:43,070
139
+ ุจุญูŠุซ ุงู†ู‡ ุจูƒู„ ุจุณุงุทุฉ ุงู„ุขู„ุฉ ู‡ุฐู‡ู„ูˆ ู‚ู„ู†ุง ู‡ู†ุง ุจุฏูƒ ุชุจุฏุฃ
140
+
141
+ 36
142
+ 00:02:43,070 --> 00:02:47,910
143
+ ุชุญุฑูƒู‡ุง ุณุงู„ุจ ุณุจุนุฉ ูุจุฏูƒ ุชู‚ูˆู„ ู‡ูŠ ูˆุงุญุฏ ู‡ูŠ ุงุชู†ูŠู† ู‡ูŠ
144
+
145
+ 37
146
+ 00:02:47,910 --> 00:02:55,390
147
+ ุชู„ุงุชุฉ ุงุฑุจุนุฉ ู‡ูŠ ุฎู…ุณุฉ ู‡ูŠ ุณุชุฉ ูˆู‡ูŠ ุณุจุนุฉ ุฎู„ุงุต ุจุชุจุฏุฃ
148
+
149
+ 38
150
+ 00:02:55,390 --> 00:03:00,150
151
+ ุชุดูˆู ุงู„ I ู‡ูŠ ุงู„ I ูŠู‚ุงุจู„ู‡ุง ุงู„ B ูˆู‡ูƒุฐุง ุจุชูƒู…ู„ ุจุชูƒู…ู„
152
+
153
+ 39
154
+ 00:03:00,150 --> 00:03:04,270
155
+ ูƒู„ ุงู„ุญุฑูˆู ูุจุชุงุฎุฏู‡ุง ู…ุจุงุดุฑุฉ ุจุชุงุฎุฏู‡ู… ุจุดูƒู„ ู…ุจุงุดุฑ ูู‡ูŠ
156
+
157
+ 40
158
+ 00:03:04,270 --> 00:03:08,760
159
+ ู†ูุณ ุงู„ุขู„ุฉ ุงู„ู„ูŠ ููˆู‚ ุงู„ู„ูŠ ู‡ู†ุง ู‡ุงุฏูŠ ู‡ูŠ ุขู„ุฉ ูŠุชุนู…ู„ู‡ุงู‡ูŠ
160
+
161
+ 41
162
+ 00:03:08,760 --> 00:03:11,860
163
+ ู‚ุงู„ูŠุฉ ุนู…ู„ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุญูˆุฑ ุงู„ุฏุงุฎู„ูŠ ุฃูˆ ุงู„ุฏุงุฆุฑุฉ
164
+
165
+ 42
166
+ 00:03:11,860 --> 00:03:15,820
167
+ ุงู„ุฏุงุฎู„ูŠุฉ ุงู„ู„ูŠ ุฌูˆุง ู‡ู†ุง ุจุชุชุญุฑูƒ ุญุณุจ ุงู†ุช ุจุฏูƒ ุชุฑูˆุญ ู…ูˆุฌุจ
168
+
169
+ 43
170
+ 00:03:15,820 --> 00:03:19,340
171
+ ูˆู„ุง ุณุงู„ุจ ููƒุงู†ุช ู‡ุฐู‡ ุงู„ู‚ุงู„ูŠุฉ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ู‡ุง ุงู„ู‚ูŠุตุฑ
172
+
173
+ 44
174
+ 00:03:19,340 --> 00:03:28,200
175
+ ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ู‚ูŠุตุฑ ุชู…ุงู… okay
176
+
177
+ 45
178
+ 00:03:28,200 --> 00:03:31,100
179
+ ุทูŠุจ ุงู„ู†ูˆุน ุชุงู†ูŠ ูˆู‡ุฐุง ุงู„ุฃู‡ู… ุงู„ุขู† ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุชูƒู„ู…
180
+
181
+ 46
182
+ 00:03:31,100 --> 00:03:39,030
183
+ ููŠู‡ ุงู„ RSA ุงู„ RSA ู‡ู†ุงุจุฏู†ุง ู†ุดุชุบู„ ุนู„ู‰ ุงู„ original ..
184
+
185
+ 47
186
+ 00:03:39,030 --> 00:03:42,510
187
+ ุจุฑุถู‡ ู†ูุณ ุงู„ุฌุซุฉ ุจุฏูŠ ุงู„ original message ู„ encrypted
188
+
189
+ 48
190
+ 00:03:42,510 --> 00:03:45,990
191
+ code ุจู‡ุฐุง ุงู„ุดูƒู„ .. ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ุงุญู†ุง ุดุงูŠููŠู†ู‡
192
+
193
+ 49
194
+ 00:03:45,990 --> 00:03:48,890
195
+ ุงู„ุงู…ูˆุฑ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุงู„ุนุงุฏูŠุฉ ุงู†ุชูˆุง ุญู„ุชูˆู‡ุง ุงูƒูŠุฏ ููŠ
196
+
197
+ 50
198
+ 00:03:48,890 --> 00:03:52,870
199
+ ุงู„ู…ุนู…ู„ ูˆ ุญู„ุชูˆู‡ุง ููŠ ุงู„ูˆุงุฌุจุงุช ู…ุงูƒู†ุด ุจุชู‡ูŠุฃู„ูŠ ููŠู‡ุง
200
+
201
+ 51
202
+ 00:03:52,870 --> 00:03:57,270
203
+ ู…ุดูƒู„ุฉ ุนู†ุฏู‰ ู…ุฌู…ูˆุนุฉ rules ู‡ุฐุง ุงู„ู„ูŠ ุจู†ุดุชุบู„ ุนู„ูŠู‡ุง ุงู„
204
+
205
+ 52
206
+ 00:03:57,270 --> 00:04:00,230
207
+ encryptedุนุดุงู† ุงุฌูŠุจ ุงู„ encrypted message ูƒู„ู†ุง
208
+
209
+ 53
210
+ 00:04:00,230 --> 00:04:02,810
211
+ ุนุงุฑููŠู† ุงู† ุงู†ุง ุจุฌูŠุจู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ู…ุซู„ ุงู„ุฃุตู„ูŠ ุชูˆุชุฑ
212
+
213
+ 54
214
+ 00:04:02,810 --> 00:04:08,490
215
+ power E ุงู„ .. ุงู„ .. ุงู„ exponent ุชุจุนู†ุง modulo N ูˆ
216
+
217
+ 55
218
+ 00:04:08,490 --> 00:04:15,230
219
+ ุงู„ N ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ูƒู„ู…ุฉ Q ูˆ P ูˆู‡ูŠ ุงู„ุงุชู†ูŠู† ู…ูˆุฌูˆุฏูŠู† Q ูˆ
220
+
221
+ 56
222
+ 00:04:15,230 --> 00:04:19,730
223
+ P ู‡ู… ูŠุนุทูŠูƒ ุงู„ E ู…ุณุจู‚ุง ูุฑูŠุญูƒ ู…ู† ู‡ุงู„ุฌุซุฉ ุงุนุทุงูƒ ุงูŠู‡ุง
224
+
225
+ 57
226
+ 00:04:19,730 --> 00:04:22,930
227
+ ู…ุจุงุดุฑุฉ ุงู„ู„ูŠ ุงู†ุง ุงุญู†ุง ุนุงุฑููŠู† ุนุดุงู† ุงุนู…ู„ decryption
228
+
229
+ 58
230
+ 00:04:22,930 --> 00:04:27,890
231
+ ุงู„ decryption ุงู† ุงููƒ ุงู„ encrypted messageุจู†ุฌูŠุจ ูƒู„
232
+
233
+ 59
234
+ 00:04:27,890 --> 00:04:34,070
235
+ ุงู„ .. ุงู„ .. ุงู„ coding message to the power D ู„ุฃู†
236
+
237
+ 60
238
+ 00:04:34,070 --> 00:04:39,430
239
+ main D ุฑุบู… ุงู†ู‡ module ูˆ N ู†ูุณ ุงู„ moduleู†ูุณ ุงู„
240
+
241
+ 61
242
+ 00:04:39,430 --> 00:04:44,030
243
+ modulus ู„ูƒู† ุงู„ D ุงู„ุฃู† ุงู„ู…ูุฑูˆุถ ุฃู† ู‡ูŠ ุงู„ inverse ู„ E
244
+
245
+ 62
246
+ 00:04:44,030 --> 00:04:50,030
247
+ ุจู…ุนู†ู‰ ุถุฑุจู‡ู… ููŠ ุจุนุถ ุงู„ู…ูุฑูˆุถ modulo P ู†ุงู‚ุต ูˆุงุญุฏ Q
248
+
249
+ 63
250
+ 00:04:50,030 --> 00:04:54,210
251
+ ู†ุงู‚ุต ูˆุงุญุฏ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุจู…ุนู†ู‰ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจู†ู‚ุฏุฑ
252
+
253
+ 64
254
+ 00:04:54,210 --> 00:04:59,190
255
+ ู†ู‚ูˆู„ ุฃู† ุงู„ุฃุชู†ูŠู† ุฏูˆู„ ุนูƒุณ ุจุนุถ ูุจุฌูŠุจ .. ุจู†ุญุณุจ D ุจู†ุญุณุจ
256
+
257
+ 65
258
+ 00:04:59,190 --> 00:05:03,690
259
+ ููŠ ุงู„ุขุฎุฑ D ุจู…ุนู„ูˆู…ุฉ ุงุชู†ูŠู† E ู‡ุฐุง ุงู„ู„ูŠ ูˆุตู„ู†ูŠ ู‡ู†ุง E
260
+
261
+ 66
262
+ 00:05:03,690 --> 00:05:08,590
263
+ ูู‚ุทู‡ู†ูˆุตู„ู† ุฅูŠู‡ุŸ ูุฅุฐุง ุฃูˆู„ ุดุบู„ ุฃู†ุช ู…ุญุชุงุฌ ุชุฌูŠุจ ุงู„
264
+
265
+ 67
266
+ 00:05:08,590 --> 00:05:23,610
267
+ inverse ู„ู…ูŠู†ุŸ ู„ 17 ุงู„ู…ุฏู„ุณ ูƒุฏู‡ุŸ 52 ููŠ 60 ู52 ููŠ 60
268
+
269
+ 68
270
+ 00:05:23,610 --> 00:05:29,740
271
+ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุฏู„ุณ ุงู„ู„ูŠ ู‡ุชุณุชุฎุฏู…ู‡ ู„ู„ inverseู‡ูŠ ุงู„ู…ุนู„ูˆู…ุงุช
272
+
273
+ 69
274
+ 00:05:29,740 --> 00:05:37,560
275
+ ุงู„ุฃุณุงุณูŠุฉ ูุงู„ุฃู† ุจุฏู†ุง ู†ุฌูŠุจ inverse E modulo 52 ููŠ 60
276
+
277
+ 70
278
+ 00:05:37,560 --> 00:05:42,480
279
+ ุทูŠุจ ู‡ุชุดูˆู ุตุงุฑุช ุงู„ problem ุจู‡ุฐุง ุงู„ุดูƒู„ ูƒุฃู†ู‡ ุตุงุฑุช
280
+
281
+ 71
282
+ 00:05:42,480 --> 00:05:48,360
283
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ู‰ ุงู„ 17E ุฏู‰ ูˆ ู‡ุฏู‡ ุงู„ 52 ููŠ 60ู‡ูŠ ุงู„
284
+
285
+ 72
286
+ 00:05:48,360 --> 00:05:52,080
287
+ term ุชุจุน ุงู„ 52 ููŠ ุงู„ 60 ุฅูŠุด ูƒู†ุง ู†ุนู…ู„ ุนุดุงู† ู†ูุญุต ู‡ู…
288
+
289
+ 73
290
+ 00:05:52,080 --> 00:05:55,560
291
+ ูุนู„ุง ุจู‚ุฏุฑ ุฃุฌูŠุจ ุงู„ inverse ูˆู„ุง ู„ุฃ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ
292
+
293
+ 74
294
+ 00:05:55,560 --> 00:05:58,840
295
+ ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง ุณุงุจู‚ุง ูˆ ุญู„ูŠู†ุง ููŠู‡ุง ู†ุนู…ู„ analysis
296
+
297
+ 75
298
+ 00:05:58,840 --> 00:06:05,140
299
+ ู„ู„ู…ุถุงุนูุงุช ู„ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ุจุญูŠุซ ู†ุตู„ ููŠ ุงู„ุขุฎุฑ ู„ู…ู†ุŸ
300
+
301
+ 76
302
+ 00:06:05,140 --> 00:06:10,120
303
+ ู„ู„ูˆุงุญุฏ ูˆ ุงู„ู„ูŠ ุจู†ู‚ู„ู‚ ู…ู†ู‡ ู‡ู†ุง ูˆุตู„ู†ุง ู„ุฃุฎุฑ ู…ุฑุญู„ุฉ ุฃู†
304
+
305
+ 77
306
+ 00:06:10,120 --> 00:06:14,800
307
+ ุชู…ุงู†ูŠุฉ ุจุชุณุงูˆูŠ ุชู…ุงู†ูŠุฉ ููŠ ูˆุงุญุฏ ุตูุฑ ุฎู„ุงุต ุตูุฑ ุงู„ุตูุฑ
308
+
309
+ 78
310
+ 00:06:14,800 --> 00:06:20,980
311
+ ู‡ุฏู‰ุฃู†ุตุฑู‡ุง ุงู„ุชุงู†ูŠ ูˆุงุญุฏ ู…ุนู†ุงุชู‡ ูุนู„ูŠุง ุงู„ุฑู‚ู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ
312
+
313
+ 79
314
+ 00:06:20,980 --> 00:06:27,640
315
+ ุชู„ุช ุชู„ุงู ูˆู…ูŠุฉ ูˆุนุดุฑูŠู† ูˆุณุจุนุชุงุด ู‡ู… ูุนู„ุง relative
316
+
317
+ 80
318
+ 00:06:27,640 --> 00:06:32,800
319
+ prime ู„ุจุนุถู‡ู… ู†ู‚ุฏุฑ ู†ูƒู…ู„ ุงู„ุขู† ุงู„ุญู„ ุงู„ุญู„ ูƒุงู† ุจูƒู„
320
+
321
+ 81
322
+ 00:06:32,800 --> 00:06:36,480
323
+ ุจุณุงุทุฉ ุจุฏูƒ ุชุญุท ุงู„ูˆุงุญุฏ reference ุงู„ reference ุชุจุนูƒ ูˆ
324
+
325
+ 82
326
+ 00:06:36,480 --> 00:06:40,860
327
+ ุชุจุฏุฃ ุชุดูˆูู‡ ูƒู…ุชุจู‚ูŠุงุช ููŠ ุงู„ุนู…ู„ูŠุงุช ุงู„ุณุงุจู‚ุฉ ูุงู„ูˆุงุญุฏ
328
+
329
+ 83
330
+ 00:06:40,860 --> 00:06:44,550
331
+ ู‡ู†ุง ูƒุงู† ุจุณุงูˆูŠุฉ ุชุณุนุฉ ู†ุงู‚ุต ูˆุงุญุฏ ููŠ ุชู…ุงู†ูŠุฉุทูŠุจ
332
+
333
+ 84
334
+ 00:06:44,550 --> 00:06:47,510
335
+ ุงู„ุชู…ุงู†ูŠุฉ ู…ุง ู‡ูŠ ูƒุงู†ุช ู…ุชุจู‚ูŠุฉ ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง
336
+
337
+ 85
338
+ 00:06:47,510 --> 00:06:52,610
339
+ ุจุชุฌูŠุจู‡ุง ุนู„ู‰ ุฃุณุงุณ ุฅู† ู‡ูŠ 17 ู†ุงู‚ุต 1 ููŠ 9 ูˆุจุชุฌู…ุน ุตุงุฑ
340
+
341
+ 86
342
+ 00:06:52,610 --> 00:06:56,970
343
+ ููŠ ุนู†ุฏูƒ 9 ู…ุน 9 ุฌู…ุนู†ุงู‡ู… ุจู‡ุฐุง ุงู„ุดูƒู„ ุทูŠุจ ุงู„ุชุณุนุฉ ู†ูุณู‡ุง
344
+
345
+ 87
346
+ 00:06:56,970 --> 00:07:01,860
347
+ ู‡ูŠ ู…ุชุจู‚ูŠุฉุจุชุนูˆุฏ ู‚ูŠู…ุชู‡ุง ุนุดุงู† ูŠุธู‡ุฑ ููŠ ุงู„ุขุฎุฑ ู…ุนุงูƒ
348
+
349
+ 88
350
+ 00:07:01,860 --> 00:07:04,340
351
+ ุนู…ู„ูŠุฉ ุชุฑุชูŠุจูŠุฉ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒ ู…ุงุชูŠุด ุฃู‚ูˆุณ ูƒุชูŠุฑ ููŠู‡ุง
352
+
353
+ 89
354
+ 00:07:04,340 --> 00:07:09,380
355
+ ุฎุฏู†ุงู‡ุง ูˆ ุฃุญู„ุชู† ูˆ ุนู„ูŠู‡ุง ู…ุณุงุฆู„ ู‡ุชู„ุงู‚ูŠ ููŠ ุงู„ุขุฎุฑ ู‡ูŠุทู„ุน
356
+
357
+ 90
358
+ 00:07:09,380 --> 00:07:13,720
359
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูŠุซ ุชู„ุช ุชู„ู ูˆ ู…ูŠุฉ ูˆ ุนุดุฑูŠู† ู…ุฑุชูŠู† ูŠุนู†ูŠ
360
+
361
+ 91
362
+ 00:07:13,720 --> 00:07:20,580
363
+ ู„ูุชูŠู† ุชุชูˆุงูู‚ ู…ุน ุชู„ุช ู…ูŠุฉ ุณุจุนุฉ ูˆ ุณุชูŠู† ููŠ ุณุจุนุชุงุด ูŠุนู†ูŠ
364
+
365
+ 92
366
+ 00:07:20,580 --> 00:07:26,820
367
+ ู…ุนู†ุงุชู‡ ุงู†ู‡ ุณุงู„ุจ ุชู„ุช ู…ูŠุฉ ุณุจุนุฉ ูˆ ุณุชูŠู†ู‡ูŠ ุงู„ ุฅูŠุด ุงู„
368
+
369
+ 93
370
+ 00:07:26,820 --> 00:07:32,920
371
+ inverse ุชุจุนู†ุง ู‡ูˆ ุงู„ inverse ุชุจุนู†ุง ุฌูŠุฏ
372
+
373
+ 94
374
+ 00:07:32,920 --> 00:07:38,820
375
+ ุงู„ุขู† ุงู„ 367 ู‡ุฐู‡ ุจุฏูƒ ุชุฌูŠุจ ุงู„ู…ูˆุฌุจ ุชุจุนู‡ุง ูุจูƒู„ ุจุณุงุทุฉ
376
+
377
+ 95
378
+ 00:07:38,820 --> 00:07:42,520
379
+ ุฅูŠุด ุจุชุณูˆูŠ 3120
380
+
381
+ 96
382
+ 00:07:42,520 --> 00:07:48,240
383
+ 3120 ุฒุงุฆุฏ ุงู„ุฑู‚ู… ู‡ุฐุง ูุจุทู„ุน ุฌุฏูŠุด 2753 ุจุงู„ู…ูˆุฌุจ ู‡ูŠ ู‡ุฐู‡
384
+
385
+ 97
386
+ 00:07:48,240 --> 00:07:54,460
387
+ ุงู„ู„ูŠ ู‡ุณุชุนู…ู„ู‡ุง ูƒุฅูŠุด ูƒ DูƒุฏูŠ ูุตุงุฑ ุงู„ุงู† ุงู„ message
388
+
389
+ 98
390
+ 00:07:54,460 --> 00:07:56,900
391
+ ุงู„ุฃูˆู„ู‰ ูˆ ุงู„ุชุงู†ู‰ ูˆ ุงู„ุชุงู„ุชู‡ ูˆ ุงู„ุฑุงุจุนุฉ ุจู…ุณูƒู‡ู… ู…ู†
392
+
393
+ 99
394
+ 00:07:56,900 --> 00:08:00,380
395
+ ุงู„ุณุคุงู„ ูƒุงู† ููŠ ุนู†ุฏูƒ ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู‡ูŠ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃูˆู„ู‰
396
+
397
+ 100
398
+ 00:08:00,380 --> 00:08:03,540
399
+ ุงู„ุชุงู†ูŠุฉ ุงู„ุชุงู„ุชู‡ ุงู„ุฑุงุจุนุฉ ุนุดุงู† ุชููƒู‡ู… ูˆ ุงู†ุช ุนุงุฑู ุงู†
400
+
401
+ 101
402
+ 00:08:03,540 --> 00:08:07,740
403
+ ู‡ู… ู…ุงุฎุฏู‡ู… ุฃุฑุจุนุฉ ู„ูŠุด ู…ุงุฎุฏู‡ู… ุฃุฑุจุนุฉุŸ ุนุดุงู† ูŠุชูˆุงูู‚ ู…ุน
404
+
405
+ 102
406
+ 00:08:07,740 --> 00:08:12,860
407
+ ู‚ูŠู…ุฉ ุงู„ N ู‚ูŠู…ุฉ ุงู„ N ู…ุง ุชูƒูˆู†ุด ุงู„ุฃุฑู‚ุงู… ุนุฏุฏ ุฎุงู†ุชู‡ุง
408
+
409
+ 103
410
+ 00:08:12,860 --> 00:08:17,130
411
+ ุฃูƒุจุฑุชู…ุงู… ูู‡ุฐู‡ ุนุงุฏุฉ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุงู„
412
+
413
+ 104
414
+ 00:08:17,130 --> 00:08:20,050
415
+ standard ุงู„ู„ูŠ ู„ุงุฒู… ุชุงุฎุฏูˆุง ุจุงู„ูƒู… ู…ู†ู‡ ุจุฒูˆุฏุด ุงู„ุฃุฑู‚ุงู…
416
+
417
+ 105
418
+ 00:08:20,050 --> 00:08:25,450
419
+ ู‡ู†ุง ุนู„ู‰ ู…ุฒุงุฌูŠ ุจุญุทุด ุฎู†ุงุช ุนุฏุฏ ุฃูƒุจุฑ ู…ู† ุฎู†ุงุช ุงู„ู…ุฏุฑุณ
420
+
421
+ 106
422
+ 00:08:25,450 --> 00:08:28,630
423
+ ุงู„ู„ูŠ ุดุบุงู„ูŠู† ุนู„ูŠู‡ ุชู…ุงู…ุŒ ู„ุฃู† ูƒูŠู ุจุฏู‡ ุฃุฌูŠุจ ุงู„ุฃุฑู‚ุงู…
424
+
425
+ 107
426
+ 00:08:28,630 --> 00:08:35,070
427
+ ู‡ุฐู‡ุŸุงู„ุฑู‚ู… ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุŒ ุฑู‚ู… ุถุฎู…ุŒ ุฑู‚ู… .. ุฑู‚ู… ุฑู‡ูŠุจุŒ
428
+
429
+ 108
430
+ 00:08:35,070 --> 00:08:38,330
431
+ ุฑู‚ู… ุงู†ุช ุจุชุชูƒู„ู… ุนู† ุฃุตุบุฑ ูˆุงุญุฏุฉ ููŠ ุงู„ู…ุนุงูƒู…ุฉุŒ ุฃูƒุจุฑ
432
+
433
+ 109
434
+ 00:08:38,330 --> 00:08:41,790
435
+ ูˆุงุญุฏุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู„ุชุงู„ุงู ูˆู…ูŠุฉ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู† to the
436
+
437
+ 110
438
+ 00:08:41,790 --> 00:08:46,210
439
+ power ุงู„ููŠู† ูˆุณุจุนู…ูŠุฉ ุชู„ุงุชุฉ ูˆุฎู…ุณูŠู†ุŒ ู‡ุฐู‡ ูƒูŠู ุชุฌูŠุจูˆู‡ุงุŸ
440
+
441
+ 111
442
+ 00:08:47,190 --> 00:08:51,650
443
+ ูˆ ุจุนุฏูŠู† ุฃูƒู… .. ุฃูƒู… ู„ูุฉ ุงู„ู…ูุฑูˆุถ ูŠุดุชุบู„ุŸ ุฃูƒู… .. ุฌุฏุด
444
+
445
+ 112
446
+ 00:08:51,650 --> 00:08:55,730
447
+ ุงู„ุญุฌู… ุงู„ู…ุนู„ูˆู…ุฉุŸ ู‡ู„ ุงู„ุจุฑุงู…ุฌ ุงู†ุช ุถุงู…ู† ุงู†ู‡ุง ู‡ุชุทู„ุนู„ูƒ
448
+
449
+ 113
450
+ 00:08:55,730 --> 00:09:01,670
451
+ ู†ุชุงุฆุฌ ุตุญ ูˆู„ุง ู„ุฃุŸ ูุนุดุงู† ู‡ูŠ ูƒุฏู‡ ูƒู†ุง ู†ุนู„ู… ุงู†ู‡ ู„ูˆ
452
+
453
+ 114
454
+ 00:09:01,670 --> 00:09:06,990
455
+ ุฌูŠุจู†ุง ู†ุชุงุฆุฌ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูˆ ุฌุงู„ูƒ ุงู†ู‡ ุงู‡ ู‡ุฐุง ุงู„ term
456
+
457
+ 115
458
+ 00:09:06,990 --> 00:09:08,890
459
+ ุจุชุทู„ุน ู‡ูŠูƒ .. ู‡ุฐุง ุจุชุทู„ุน ู‡ูŠูƒ .. ู‡ุฐุง ุจุชุทู„ุน ู‡ูŠูƒ .. ู‡ุฐุง
460
+
461
+ 116
462
+ 00:09:08,890 --> 00:09:11,530
463
+ ุจุชุทู„ุน ู‡ูŠูƒ .. ู…ุงููŠุด ู…ุดูƒู„ุฉ ูุจุฌูŠ ุจุตูุชู‡ู… ุจุดูˆู ููŠู‡ 18
464
+
465
+ 117
466
+ 00:09:12,740 --> 00:09:18,960
467
+ ุงู„ู€ 18 ู‡ุฐู‡ ุนู„ู‰ ุทูˆู„ ุงู„ S ุทูŠุจ ุจุนุฏู‡ุง 16 ุงู„ 16 ู‡ูŠ ุงู„ Q
468
+
469
+ 118
470
+ 00:09:18,960 --> 00:09:24,740
471
+ ูˆู‡ูƒุฐุง ุจุชูƒู…ู„ู‡ู… ุนุดุงู† ูŠุทู„ุน squirrel ุฃูˆ ุงู„ุณู†ุฌุงุจ ู‡ู†ุง
472
+
473
+ 119
474
+ 00:09:24,740 --> 00:09:27,880
475
+ ู…ุซู„ุง ููŠ ุงู„ุณุคุงู„ ู„ูƒู† ู…ุด ู‡ุฐุง ุงู„ู„ูŠ ุงุญู†ุง ุจุฏู†ุง ู†ุดุฑุญู‡
476
+
477
+ 120
478
+ 00:09:27,880 --> 00:09:32,160
479
+ ุงู„ุญู‚ูŠู‚ุฉ ุงุญู†ุง ุจุฏู†ุง ู†ุฎู„ุต ู…ู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ุฃู†ุง ุจุฏู‰ ุจุดูƒู„
480
+
481
+ 121
482
+ 00:09:32,160 --> 00:09:35,620
483
+ ูŠุฏูˆูŠ ุจู‚ู‰ ู„ุญุณุจุฉ ุนุงุฏูŠุฉ ุฃุญุณุจ ู‡ุฐุง ุงู„ูƒู„ุงู… ุฃู†ุง ู…ุด .. ู…ุด
484
+
485
+ 122
486
+ 00:09:35,620 --> 00:09:38,340
487
+ ุฏุงุฆู…ุง ู‡ูŠูƒูˆู† ู…ุชุงุญ ุนู†ุฏูŠ computer ุฃูˆ ุจุฑู†ุงู…ุฌ ุฃุฎู„ูŠู‡
488
+
489
+ 123
490
+ 00:09:38,340 --> 00:09:42,280
491
+ ูŠุญุณุจู„ูŠ ูˆ ูŠุงุฎุฏ ุจุงู„ู‡ ู…ู† .. ู…ู† ุงู„ .. ุงู„ overflow
492
+
493
+ 124
494
+ 00:09:42,280 --> 00:09:48,820
495
+ ุชู…ุงู…ุŸ ูู…ุนู†ู‰ ุฐู„ูƒ ุจูƒู„ ุจุณุงุทุฉ ุจุฏู‰ ุฃุณุชุฎุฏู… property ู‡ุฐู‡
496
+
497
+ 125
498
+ 00:09:48,820 --> 00:09:52,980
499
+ ุฃุฎุฏู†ุงู‡ุง ุฃุฎุฏู†ุงู‡ุง ุฅูŠุด ุฃุฎุฏู†ุง ููŠู‡ุงุŸ ุฃุฎุฏู†ุง ููŠู‡ุง ุฅุฐุง
500
+
501
+ 126
502
+ 00:09:52,980 --> 00:09:59,720
503
+ ูƒุงู†ุช A congruent ู„ BC congruent ู„D ูˆุงู„ู…ุฏู„ุณ ู…ุดุชุฑูƒ
504
+
505
+ 127
506
+ 00:09:59,720 --> 00:10:04,500
507
+ ู„ู„ุฌู…ูŠุน ููŠ ุงู„ุขุฎุฑ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ู†ุงุชุฌ ุงู„ congruent
508
+
509
+ 128
510
+ 00:10:04,500 --> 00:10:10,560
511
+ ู‡ู†ุง ุฒุงุฆุฏ ู†ุงุชุฌ ุงู„ congruent ู‡ู†ุง ู…ุณุงูˆู‰ ู„ ุงู„ B ุฒุงุฆุฏ
512
+
513
+ 129
514
+ 00:10:10,560 --> 00:10:14,920
515
+ ุงู„ D ู„ู†ูุณ ุงู„ู…ุฏู„ุณ ุทูŠุจ ู…ู…ุชุงุฒ ู‡ุฐุง ู…ู…ูƒู† ุชุฎูู ุนู„ูŠู†ุง
516
+
517
+ 130
518
+ 00:10:14,920 --> 00:10:19,720
519
+ ุดูˆูŠุฉ ู„ูƒู† ุงู„ู„ูŠ ุฃุญุณู† ู…ู†ู‡ุง ู‡ูŠ ุงู„ property ุงู„ุชุงู†ูŠุฉ ุงู†ู‡
520
+
521
+ 131
522
+ 00:10:19,720 --> 00:10:26,550
523
+ A ููŠ C ุชูƒุงูุฆ B ููŠ Dุชูƒุงูุฆ B ููŠ D ูู…ุนู†ู‰ ุฐู„ูƒ ุฅุฐุง ูƒุงู†
524
+
525
+ 132
526
+ 00:10:26,550 --> 00:10:33,410
527
+ ู‡ุฐู‡ ู…ูƒุงูุฆุฉ ู„ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู…ูƒุงูุฆุฉ ู„ู‡ุฐู‡ ุจูƒู„ ุจุณุงุทุฉ ุฅุฐุง
528
+
529
+ 133
530
+ 00:10:33,410 --> 00:10:38,890
531
+ ู‡ุฐู‡ ุงู„ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ ุจุณุชุนูŠุฏ ุนู†ู‡ุง ุจุฃุฑู‚ุงู… ุฃุตุบุฑ ู…ูƒุงูุฆุฉ
532
+
533
+ 134
534
+ 00:10:38,890 --> 00:10:44,110
535
+ ุฅู„ู‡ุง ุจุฃุฑู‚ุงู… ุฃุตุบุฑ ู…ูƒุงูุฆุฉ ุฅู„ู‡ุง ุชู…ุงู… ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ูˆ
536
+
537
+ 135
538
+ 00:10:44,110 --> 00:10:48,450
539
+ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุนู…ู„ู‡ ุงู„ุขู† ู‡ู†ุง ู„ูƒู† ุงู„ู…ุดูƒู„ุฉ ุนู† ุงู„ุฃุฑู‚ุงู… ู‡ูŠ
540
+
541
+ 136
542
+ 00:10:48,450 --> 00:10:52,450
543
+ ูƒู„ู‡ุง to the powerุงู„ู‚ุงู…ู†ุฉ ูƒู„ู‡ุง to the power ุทุจ
544
+
545
+ 137
546
+ 00:10:52,450 --> 00:10:55,790
547
+ ู…ุงุฏุงู… to the power ูŠุนู†ูŠ ุจูƒู„ ุจุณุงุทุฉ ุชู„ุช ุฃู„ุงู ูˆู…ูŠุฉ
548
+
549
+ 138
550
+ 00:10:55,790 --> 00:10:59,730
551
+ ูˆุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู† to the power ุชุฎูŠู„ูˆุง ู…ุนุงูŠุง to the
552
+
553
+ 139
554
+ 00:10:59,730 --> 00:11:04,370
555
+ power ุฃู„ููŠู† ู…ุถุฑูˆุจ ููŠ ุชู„ุช ุฃู„ุงู ูˆู…ูŠุฉ ูˆุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู†
556
+
557
+ 140
558
+ 00:11:04,370 --> 00:11:09,590
559
+ ููŠ to the power ุณุจุนู…ูŠุฉ ุชู„ุช ูˆุฎู…ุณูŠู† ู…ุง ู‡ูˆ ู…ุฌู…ูˆุน ุงู„
560
+
561
+ 141
562
+ 00:11:09,590 --> 00:11:13,290
563
+ powers ูƒุฃู†ู‡ ุถุฑุจ ุจุงู„ุถุจุท ู‡ุฐุง ุงู„ู„ูŠ ู‡ุฑุชูƒุฒ ุนู„ูŠู‡ุง ููŠ
564
+
565
+ 142
566
+ 00:11:13,290 --> 00:11:16,770
567
+ ุชุณู‡ูŠู„ ุงู„ุณุคุงู„ ุฅู†ู‡ ุฅุฐุง ู…ุถุฑูˆุจูŠู† ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃู†ุง ุจุงู„ุฏุนู…
568
+
569
+ 143
570
+ 00:11:16,770 --> 00:11:17,930
571
+ ู…ุงุจุฏูŠุด ุฃุนู…ู„ู‡ู… ุงุชู†ูŠู† ุจุณ
572
+
573
+ 144
574
+ 00:11:20,850 --> 00:11:24,970
575
+ ุนู„ู‰ ุชู„ุงุชุฉ ุนู„ู‰ ุฎู…ุณุฉ ุนู„ู‰ ุนุดุฑุฉ ุฌุฏ ู…ุง ุจุฏูƒ ุฌุฏุงุด ุฃู‚ุตู‰ ุญุฏ
576
+
577
+ 145
578
+ 00:11:24,970 --> 00:11:29,570
579
+ ู…ู…ูƒู† ุชุฌูŠุจู‡ to the power ุฌุฏุงุด ู„ุชู„ุชุงู„ุงู ูˆู…ูŠุฉ ุฎู…ุณุฉ ูˆ
580
+
581
+ 146
582
+ 00:11:29,570 --> 00:11:34,310
583
+ ุชู…ุงู†ูŠู† ูˆุงู„ุฃุนู„ู‰ ุญุณุจ ุชุฌูŠุจู‡ ู…ุนุงูƒ ุงุฑุจุนูŠู† ุฎู…ุณูŠู† ุนู„ู‰ ุฌุฏ
584
+
585
+ 147
586
+ 00:11:34,310 --> 00:11:37,870
587
+ ุฎู…ุณูŠู† ุจุชูุชุฑุถ ุฎู…ุณูŠู† ูˆุฎู…ุณูŠู† ุจุงู„ู…ู†ุงุณุจุฉ ุญูŠุงุชูŠ ุงู„ุนุฑู‚
588
+
589
+ 148
590
+ 00:11:37,870 --> 00:11:44,320
591
+ ุงู„ู…ู‡ูˆู„ ูƒุจูŠุฑ ุงุฌู„ ุนุดุฑุฉ ุงุนู…ู„ ุนุดุฑุฉุจุฏุฃ ุงูุชุฑุถ ุงู† ุนู†ุฏูŠ
592
+
593
+ 149
594
+ 00:11:44,320 --> 00:11:47,040
595
+ ุงุนู„ู‰ ุฎู…ุณูŠู† ูู‡ู†ุง ุจุฏุฃ ุงูุชุฑุถ ุงู† ู‡ูŠ to the power ุฎู…ุณูŠู†
596
+
597
+ 150
598
+ 00:11:47,040 --> 00:11:49,640
599
+ to the power ุฎู…ุณูŠู† to the power ุฎู…ุณูŠู† to the power
600
+
601
+ 151
602
+ 00:11:49,640 --> 00:11:54,100
603
+ ุฎู…ุณูŠู† ู„ุนู†ุฏู…ุง ููŠ ุงู„ุขุฎุฑ ู‡ุชุณุชู†ูุฐ ุฃู„ููŠู† ูˆุณุจุนู…ูŠุฉ ูˆุฎู…ุณูŠู†
604
+
605
+ 152
606
+ 00:11:54,100 --> 00:11:58,980
607
+ ุจูŠุถู„ ุนู†ุฏูƒ ุชู„ุงุชุฉ ููŠ ุงู„ุขุฎุฑ ุจุงุฎุฏ
608
+
609
+ 153
610
+ 00:11:58,980 --> 00:12:04,740
611
+ ูƒู„ ูˆุงุญุฏุฉ ู„ุญุงู„ ุงู„ู…ุฏุฑุณ ุชุจุนู‡ุง ุจู…ุนู†ู‰ ุงู† ุงู„ุฑู‚ู… ู‡ุฐุง ุงู†ุง
612
+
613
+ 154
614
+ 00:12:04,740 --> 00:12:08,500
615
+ ุฌุงุฏุฑ ุงุญุณุจู‡ ุฎู„ุงุตุจุฏุงูƒ ุนุดุฑุฉ ุงุนู…ู„ู‡ุง ุนุดุฑุฉ ู…ุงููŠุด ู…ุดูƒู„ุฉ
616
+
617
+ 155
618
+ 00:12:08,500 --> 00:12:12,000
619
+ ู„ูŠุดุŸ ู„ุฃู†ูƒ ุงู†ุช ุถุงู…ู† ุงู† ุงู„ู‚ูŠู… ู…ุชุดุงุจู‡ุฉ ูŠุนู†ูŠ ุงู†ุช
620
+
621
+ 156
622
+ 00:12:12,000 --> 00:12:15,160
623
+ ุจุชุนู…ู„ู‡ุง ู„ู…ุฑุฉ ูˆุงุญุฏุฉ ูˆ ุจุชุถุฑุจู‡ู… ููŠ ู†ูุณู‡ู… ูุงู†ุช ู…ุด
624
+
625
+ 157
626
+ 00:12:15,160 --> 00:12:18,860
627
+ ุฌุงู„ุฌุงู† ุญุชู‰ ู„ูˆ ุฒูŠ ู…ุง ูŠู‚ูˆู„ูˆุง ูุตู„ุชู‡ู… ุงูƒุชุฑ ู…ู† ุงู„ุฎู…ุณูŠู†
628
+
629
+ 158
630
+ 00:12:18,860 --> 00:12:23,920
631
+ ุงู†ุช ุจุฏูƒ ุชุดูˆู ุฌุฏุด ุงู„ุฑู‚ู… ุนู„ู‰ ู‚ู„ุชูƒ ุงู„ุญุงุณุจุฉ ู…ู…ูƒู†
632
+
633
+ 159
634
+ 00:12:23,920 --> 00:12:26,740
635
+ ุชุนุทูŠู‡ุง power ุงู‚ุตู‰ ู…ุง ูŠู…ูƒู† ุงู„ู„ูŠ ู‡ูŠ ุชุทู„ุนู„ูƒ ุฑู‚ู… ููŠ
636
+
637
+ 160
638
+ 00:12:26,740 --> 00:12:31,200
639
+ ุงู„ู†ู‡ุงูŠุฉ ุงุชุทู„ุนู„ูƒ ุฑู‚ู… ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุฌุณู… ุจุงู„ู†ุณุจุงู„ู‡ุง
640
+
641
+ 161
642
+ 00:12:31,200 --> 00:12:37,700
643
+ ุงุจุฏุง ุฌุณู…ูƒูˆูŠุณ ุจุณ ู„ุงุญุธ ูƒูŠู ุงุญู†ุง ู‡ู†ุญู„ ุงู„ู…ูˆุถูˆุน ุงู†ุช
644
+
645
+ 162
646
+ 00:12:37,700 --> 00:12:41,380
647
+ ู‡ุชุนู…ู„ู‡ุง ู„ู…ุฑุฉ ูˆุงุญุฏุฉ ู„ูŠุดุŸ ู„ุฃู†ูƒ ุงู†ุช ู‡ุชุทู„ุน ู†ุงุชุฌ ู‡ุฐู‡
648
+
649
+ 163
650
+ 00:12:41,380 --> 00:12:46,620
651
+ ู‡ุฐู‡ ู…ุด ู…ุญุชุงุฌุฉ ุชุทู„ุน ู†ุงุชุฌู‡ุง ุทุจ ู‡ูŠ ู†ูุณู‡ุง ุทูŠุจ ูุงู„ู„ูŠ
652
+
653
+ 164
654
+ 00:12:46,620 --> 00:12:50,340
655
+ ู‡ุตูŠุฑ ูƒุงู„ุชุงู„ูŠ ู‡ุฐุง ุงู„ term ุงู„ุฃูˆู„ ุงู„ุชุงู†ูŠ ุงู„ุชุงู„ุช
656
+
657
+ 165
658
+ 00:12:50,340 --> 00:12:53,320
659
+ ุงู„ุฑุงุจุน ุงู„ู„ูŠ ู‡ุงู„ term ุฌุฏูŠุด ุจูƒู„ ุจุณุงุทุฉ ุฃู„ููŠู† ุณุจุนู…ุงุฆุฉ
660
+
661
+ 166
662
+ 00:12:53,320 --> 00:12:59,060
663
+ ูˆ ุฎู…ุณูŠู† ู‡ุฐู‡ ุฃูƒู… ุฎู…ุณูŠู† ููŠู‡ุง ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ููŠู‡ุง ู‡ุงูŠ
664
+
665
+ 167
666
+ 00:12:59,060 --> 00:13:03,300
667
+ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ุฒุงุฆุฏ ุทุจุนุง ุงู„ term ุงู„ุชุงู„ุช ุงู„ู„ูŠ ุถุงู„ ูู‡ูŠ
668
+
669
+ 168
670
+ 00:13:03,300 --> 00:13:09,140
671
+ ุงู„ุฑู‚ู… ุงู„ุฃูˆู„modulus ูƒุฐุง ุจูŠุทู„ุน ู„ู‡ ู‚ูŠู…ุฉ ู…ุด ุนุงุฌุจูƒ okay
672
+
673
+ 169
674
+ 00:13:09,140 --> 00:13:16,100
675
+ ู…ุงููŠุด ู…ุดูƒู„ุฉ ุฌุณู… ุญุชู‰ ู‡ุฐุง ุฌู„ู‘ู„ ู…ุงููŠุด ู…ุดูƒู„ุฉ ุงุญุณุจ
676
+
677
+ 170
678
+ 00:13:16,100 --> 00:13:21,280
679
+ ู„ุนุดุฑุฉ ู…ุซู„ุง ุนู„ู‰ ุฌุฏ to the power ุนุดุฑุฉ ูˆ ุจุนุฏูŠู† ุงุถุฑุจู‡ู…
680
+
681
+ 171
682
+ 00:13:21,280 --> 00:13:27,260
683
+ ูƒู„ู‡ู… to the power ุฎู…ุณุฉ ุตุญ ู„ุฅู† ู‡ูŠ ุนุดุฑุฉ ู…ุถุฑุจุฉ ููŠ
684
+
685
+ 172
686
+ 00:13:27,260 --> 00:13:29,720
687
+ ุนุดุฑุฉ ู…ุถุฑุจุฉ ููŠ ุนุดุฑุฉ ุฎู…ุณ ู…ุฑุงุช ุจุชุตูŠุฑ to the power
688
+
689
+ 173
690
+ 00:13:29,720 --> 00:13:31,860
691
+ ุฎู…ุณูŠู† ุฎู„ุต
692
+
693
+ 174
694
+ 00:13:33,810 --> 00:13:37,350
695
+ ุทุจ ุจุฏูƒ ุชุฌูŠุจ ุงู„ modulus ู„ู„ุฃุฑู‚ุงู… ุงู„ุตุบูŠุฑุฉ ููŠ ุงู„ุจุฏุงูŠุฉ
696
+
697
+ 175
698
+ 00:13:37,350 --> 00:13:41,630
699
+ ูˆุจุนุฏูŠู† ุจุชุถุฑุจ ุงู„ู„ูŠ ุจุทู„ุน .. ุจุชุถุฑุจ ุงู„ู„ูŠ ุจุทู„ุน ุทูŠุจ ุงู„ู„ูŠ
700
+
701
+ 176
702
+ 00:13:41,630 --> 00:13:45,970
703
+ ุจุทู„ุน ุญุฏ ููŠ ุงู„ุขุฎุฑ ู‡ูŠุทู„ุน ุฑู‚ู… ุฃูƒุจุฑ ู…ู† ุงู„ modulus ุนุดุงู†
704
+
705
+ 177
706
+ 00:13:45,970 --> 00:13:48,270
707
+ ู‡ูŠูƒ ุจุชุฏุฎู„ู‡ ุนู„ู‰ ุงู„ modulus ูƒู…ุงู† ู…ุฑุฉ ุจุณ ุจูŠูƒูˆู† ู‡ูˆ
708
+
709
+ 178
710
+ 00:13:48,270 --> 00:13:52,470
711
+ ุฅูŠุฌุงูƒ ุตุบูŠุฑ ุฃุตู„ุง ุฃุณุงุณุง ุจูŠูƒูˆู† ุฅูŠุฌุงูƒ ู‚ูŠู…ุฉ ุตุบูŠุฑุฉ ุชู…ุงู…
712
+
713
+ 179
714
+ 00:13:53,180 --> 00:13:57,140
715
+ ูู‡ูŠ ุธู‡ุฑุช ูƒุงู„ุชุงู„ูŠ ู…ุฏุงู… ุงู† ุงู†ุง ุญุณุจุช ู„ู„ุฎู…ุณูŠู† ุงู„ูˆุงุญุฏุฉ
716
+
717
+ 180
718
+ 00:13:57,140 --> 00:14:01,480
719
+ ุจุณ ุทู„ุน ุงู„ููŠู† ูˆู…ุชูŠู† ูˆุงุฑุจุนุฉ ูˆ ุชู„ุงุชูŠู† ูƒุฃู†ู‡ ู…ุชูŠู† ุงู„ููŠู†
720
+
721
+ 181
722
+ 00:14:01,480 --> 00:14:05,060
723
+ ูˆู…ุชูŠู† ูˆุชู„ุงุชุฉ ูˆุงุฑุจุนูŠู† ู‡ุฐู‡ ุงุชูƒุฑุฑุช ุฎู…ุณุฉ ูˆุฎู…ุณูŠู† ู…ุฑุฉ
724
+
725
+ 182
726
+ 00:14:05,060 --> 00:14:13,920
727
+ ููƒุฃู†ู‡ ูƒู„ู‡ ุชุซุงุจูŠุฑ ุฎู…ุณุฉ ูˆุฎู…ุณูŠู† ู…ุถุฑูˆุจุฉ
728
+
729
+ 183
730
+ 00:14:13,920 --> 00:14:18,680
731
+ ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ู†ุงุชุฌ ุชุจุน ุชุซุงุจูŠุฑ ุชู„ุงุชุฉุงู„ู„ูŠ ุถู„ุช okay ุฎุฏ
732
+
733
+ 184
734
+ 00:14:18,680 --> 00:14:21,820
735
+ ู‡ุฐู‡ ู„ุญุงู„ ูุงุด ู…ุดูƒู„ุฉ ุนู…ู„ู‡ุง ุนู„ู‰ ู…ุณุชูˆู‡ุง ู„ุญุงู„ ูุฅุฐุง ุจุงู„
736
+
737
+ 185
738
+ 00:14:21,820 --> 00:14:25,040
739
+ recursion ุฃูˆ ุงู„ recursive code ู‡ุชุทู„ุน ู…ู…ูŠุฒุฉ ุฌุฏุง
740
+
741
+ 186
742
+ 00:14:25,040 --> 00:14:28,860
743
+ ุนู†ุฏูƒ ุงู„ุดุบู„ ู‡ู†ุง ูˆู…ุด ู…ุญุชุงุฌ ุชุตู„ุน ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ ุจุณ
744
+
745
+ 187
746
+ 00:14:28,860 --> 00:14:35,580
747
+ ุจุชุนู…ู„ู‡ code ุงุชูƒุฑุฑ ุนู„ู‰ ุฃูƒู… ู…ุฑุฉ ู‡ูŠุถุทุฑูŠุงุฎุฏ ู…ู† ุงู„
748
+
749
+ 188
750
+ 00:14:35,580 --> 00:14:39,680
751
+ power ู„ุญุฏ ู…ุง ูŠุณุชู†ูุฐ ูƒู„ ุงู„ุฃุฑู‚ุงู… ุงู„ู…ุณู…ูˆุญุฉ ุนู†ุฏู‡ ูุงู†ุช
752
+
753
+ 189
754
+ 00:14:39,680 --> 00:14:43,320
755
+ ุดูˆู ุงูŠุด ุงู„ุฃู‡ู„ ุงู„ุญุงุณุจุฉ ุฃู‚ุตู‰ ุญุฏ ู…ู…ูƒู† ุชุดุชุบู„ ุนู„ูŠู‡ ุชุญุตู„
756
+
757
+ 190
758
+ 00:14:43,320 --> 00:14:47,520
759
+ ุนู„ู‰ power ุฎู…ุณูŠู† ุฎู„ุงุต ุนู„ู‰ ุงู„ุฎู…ุณูŠู† ูˆ ุฌุณู…ู‡ู… ุฎู…ุณูŠู†ุงุช
760
+
761
+ 191
762
+ 00:14:47,520 --> 00:14:51,820
763
+ ุฌุณู…ู‡ู… ุฎู…ุณูŠู†ุงุช ูุจุทู„ุน ููŠ ุงู„ุขุฎุฑ ู‚ูŠู…ุฉ ุจุชู‚ุฏุฑ ุชุญุณุจู‡ุง
764
+
765
+ 192
766
+ 00:14:51,820 --> 00:14:55,700
767
+ ุงู„ุฃู‡ู„ ุงู„ุญุงุณุจุฉ ุตุญูŠุญ ุจุชุชุญุงูŠู„ ู„ูƒู† ุชู‚ุฏุฑ ุชุญุณุจู‡ุง ุงู„ุฃู‡ู„
768
+
769
+ 193
770
+ 00:14:55,700 --> 00:14:59,280
771
+ ุงู„ุญุงุณุจุฉ ุจุฏู‡ุง ุจุฏู„ ู…ุง ูƒู†ุช ุชุงุฎุฏู‡ุง ุจุดูƒู„ ู…ุจุงุดุฑ ู‡ุชุถุทุฑ
772
+
773
+ 194
774
+ 00:14:59,280 --> 00:15:04,870
775
+ ุชุงุฎุฏู‡ุง ุนู„ู‰ ุฌุฒุฆูŠู†ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ุฌุฒุฆูŠู† ู…ุด ุถุฎู…ูŠู† ุฌุฏุง ู„ุฅู†
776
+
777
+ 195
778
+ 00:15:04,870 --> 00:15:08,150
779
+ ุงู†ุช ุฒูŠ ู…ุง ู‚ู„ุชู„ูƒ ู‡ุชุญุณุจู‡ุง ู„ู…ุฑุฉ ูˆุงุญุฏุฉ ุฅุฐุง ุฃุฎุฏุช ุงู„
780
+
781
+ 196
782
+ 00:15:08,150 --> 00:15:11,830
783
+ power ู…ุชุดุงุจู‡ ู†ูุณ ู‚ูŠู…ุฉ ุงู„ power ูˆ ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ุฅู†ูƒ
784
+
785
+ 197
786
+ 00:15:11,830 --> 00:15:15,250
787
+ ุฃู†ุช ุชุงุฎุฏ ู†ูุณ ู‚ูŠู…ุฉ ุงู„ power ูˆ ุชูƒุฑุฑู‡ู… ูุจุฏูƒ ุชุงุฎุฏ
788
+
789
+ 198
790
+ 00:15:15,250 --> 00:15:20,370
791
+ ุงู„ุนุดุฑุฉ ุงูŠู‡ุŸ ุงุฎุฏ ุงู„ุนุดุฑุฉ ูุจุตูŠุฑ ุงู„ุขู† ุงู„ู†ุงุชุฌ ุชุจุน ุชู„ุช
792
+
793
+ 199
794
+ 00:15:20,370 --> 00:15:24,350
795
+ ุชู„ุงู ูˆ ุฌุฏุด ูˆ ู…ูŠุฉ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู† to the power ุนุดุฑุฉ
796
+
797
+ 200
798
+ 00:15:24,350 --> 00:15:33,220
799
+ ู‡ุฐุง ู‡ูŠุทู„ุน ู†ุงุชุฌ ุงู„ู†ุงุชุฌ to the power ุฎู…ุณูŠุฉ ูˆ ุฎู…ุณูŠู†ู…ุด
800
+
801
+ 201
802
+ 00:15:33,220 --> 00:15:38,960
803
+ ู‡ุทู„ุน ุชุชุจูˆุฑ 550ุŸ ุจุฏู„ ู…ุง ูƒุงู† 55 ุงุนู…ู„ุชู‡ ู„ 10 ู„ุฃ ุจุฏูŠ
804
+
805
+ 202
806
+ 00:15:38,960 --> 00:15:48,500
807
+ ุงุถุฑุจ ููŠ 5 ุจุณ ุจุฏูŠ ุงุถุฑุจ ููŠ 5 ูุจุชุทู„ุน 275 ุจุชุชุจูˆุฑ
808
+
809
+ 203
810
+ 00:15:48,500 --> 00:15:54,080
811
+ 275 okay ุงุนู…ู„ู‡ุง ูƒู…ุงู† ู…ุฑุฉุฌุณู…ู‡ู… ู„ุนุดุฑุงุช ูุงู†ุช ุจุชุญุณุจ
812
+
813
+ 204
814
+ 00:15:54,080 --> 00:15:58,040
815
+ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ู…ุฑุฉ ูƒู„ ู…ุฑุฉ ูƒู„ ู‚ูŠู…ุฉ ุจุชุญุณุจู‡ุง ู„ู…ุฑุฉ ุจุณ ุจุนุฏ
816
+
817
+ 205
818
+ 00:15:58,040 --> 00:16:02,480
819
+ ู‡ูŠูƒ ุจุชุญุท ุงู„ power ุชุจุน ุนุฏุฏ ุชูƒุฑุงุฑุงุชู‡ุง ุชุจุน ุนุฏุฏ
820
+
821
+ 206
822
+ 00:16:02,480 --> 00:16:07,260
823
+ ุชูƒุฑุงุฑุงุชู‡ุง ุจุณ ูุทุจุนุง ู‡ุฐุง ุจุชุฎูŠู„ ู„ูˆ ุฃู†ู‡ for loop ูˆ
824
+
825
+ 207
826
+ 00:16:07,260 --> 00:16:12,240
827
+ recursion ุจุชุทู„ุน ูƒุชูŠุฑ ุญู„ูˆ ุงู„ุจุฑู†ุงู…ุฌ ุจุฎู„ุตู„ูƒ ุฅูŠุงู‡ุง ุนู„ู‰
828
+
829
+ 208
830
+ 00:16:12,240 --> 00:16:17,380
831
+ ุทูˆู„ ุจุฏูˆู† ุฃู† ุชุถุทุฑ ุชุตู„ ู„ู„ overflowูˆ ูƒูˆูŠุณ ู‡ูŠ ุทู„ุนุช
832
+
833
+ 209
834
+ 00:16:17,380 --> 00:16:20,780
835
+ ุชู…ู†ุชุงุด ุณุชุงุด ูˆ ุงู„ู„ูŠ ูƒู†ุง ุจู†ู‚ูˆู„ ุงู‡ ู‡ูŠ ู†ุชูŠุฌุฉ ุชุจุนุชู‡ุง
836
+
837
+ 210
838
+ 00:16:20,780 --> 00:16:24,280
839
+ ุฌุงูŠุฉ ู…ุนู‡ุง ู‡ูŠ ุงู„ุชู…ู†ุชุงุด ุณุชุงุด ุจุชุทู„ุน ู…ุธุจูˆุทุฉ ูููŠ ุงู„ุขุฎุฑ
840
+
841
+ 211
842
+ 00:16:24,280 --> 00:16:27,880
843
+ ู‡ู†ุง ู…ุด ู‡ูŠูƒูˆู† ููŠ ู…ุฌุงู„ ุงู† ุญุฏ ูŠู‚ูˆู„ ุงู„ู†ุชุงุฆุฌ ุทู„ุนุช ุนู†ุฏู‡
844
+
845
+ 212
846
+ 00:16:27,880 --> 00:16:33,680
847
+ ู…ุด ุฒูŠ ุงู„ูƒุชุงุจู„ุฃ ู‡ูŠ ู‡ูŠูƒ ุชุทู„ุน ูˆ ุจุจุณุงุทุฉ ูˆ ู…ู† ุฎู„ุงู„
848
+
849
+ 213
850
+ 00:16:33,680 --> 00:16:38,060
851
+ property ุฃุฎุฏู†ุงู‡ุง ุงุญู†ุง ูุนู„ุง ููŠ ุงู„๏ฟฝ๏ฟฝุญุงุถุฑุงุช ุจุชุงุนุชู†ุง
852
+
853
+ 214
854
+ 00:16:38,060 --> 00:16:41,020
855
+ ู‡ุฐู‡ ู„ูˆ ุฑุฌุนุชูˆุง ู„ู…ุญุงุถุฑุงุชูƒูˆุง ู‡ุชู„ุงู‚ูˆุง ุงู„ุณุทุฑูŠู† ู‡ุฏูˆู„
856
+
857
+ 215
858
+ 00:16:41,020 --> 00:16:44,700
859
+ ู…ูˆุฌูˆุฏูŠู† ุทุจ ู…ุนู†ุง ุฐู„ูƒ ุงู†ู‡ ู…ุฏุงู… ูˆุฌุฏูˆุง ุงูƒูŠุฏ ูˆุฌุฏูˆุง ุงู†ู‡
860
+
861
+ 216
862
+ 00:16:44,700 --> 00:16:48,100
863
+ ูŠุณู‡ู„ูˆุง ุนู„ูŠู†ุง ุดุบู„ ูˆ ู‡ูŠ ูุนู„ุง ุณู‡ู„ูˆุง ุนู„ูŠู†ุง ููŠ ุงู„ุญุณุงุจุงุช
864
+
865
+ 217
866
+ 00:16:48,100 --> 00:16:48,480
867
+ ุงู„ูƒุจูŠุฑุฉ
868
+
869
+ 218
870
+ 00:16:51,150 --> 00:16:54,370
871
+ ุฌูŠุฏุŒ ู‡ูŠ ุงู„ุณุคุงู„ ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ู‰ ุจุงู„ุณู‡ูˆู„ุฉ ุจู†ู‚ุฏุฑ
872
+
873
+ 219
874
+ 00:16:54,370 --> 00:16:58,830
875
+ ู†ุชุนุงู…ู„ ู…ุนุงู‡ุŒ ูƒุงู† ููŠู†ุง ุณุคุงู„ ููŠ ุงู„ุงู…ุชุญุงู† ููŠ ุงู„ ..
876
+
877
+ 220
878
+ 00:16:58,830 --> 00:17:03,010
879
+ ุฃุธู† ุฃุฌุฑูƒูˆุง ููŠ .. ููŠ ุงู„ูˆุงุฌุจ ุจุชู‡ูŠุฃู„ูŠ ุฃูˆ ู…ุด ูุงูƒุฑ ูˆูŠู†
880
+
881
+ 221
882
+ 00:17:04,280 --> 00:17:07,040
883
+ ูุงู„ุดุนุจ ุงู„ุชุงู†ูŠ ูƒุงู†ูˆุง ุทู„ุจูˆุง ุฃู†ู‡ ุจุฏู‡ู… ูŠุญู„ูˆุง ุงู„ุณุคุงู„
884
+
885
+ 222
886
+ 00:17:07,040 --> 00:17:10,240
887
+ ู‡ุฐุง ู„ุฃู†ู‡ ุงู„ุธุงู‡ุฑ ุงุดุชุจู‡ ุนู„ูŠู‡ู… ุงู„ุญู„ ููƒุงู† ุจุจุณุงุทุฉ ูˆุงุญุฏ
888
+
889
+ 223
890
+ 00:17:10,240 --> 00:17:15,120
891
+ ู…ู† ุฃุณุฆู„ุฉ ุงู„ูˆุงุฌุจ ุฃุนุชู‚ุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ coins ุฃูˆ
892
+
893
+ 224
894
+ 00:17:15,120 --> 00:17:18,420
895
+ ุงู„ุทูˆุงุจุน ุงู„ู„ูŠ ุจุฏู†ุง ู†ุดุชุบู„ ุนู„ูŠู‡ุง ุชู„ุงุชุฉ ู…ู„ูŠู… ูˆ ุนุดุฑุฉ
896
+
897
+ 225
898
+ 00:17:18,420 --> 00:17:22,200
899
+ ู…ู„ูŠู… ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ุงุญู†ุง ุนู†ุฏู†ุง ุทูˆุงุจุน ูู„ุณุทูŠู†ูŠุฉ ู‚ุฏูŠู…ุฉ
900
+
901
+ 226
902
+ 00:17:22,200 --> 00:17:24,620
903
+ ู…ู† ุงู„ู ูˆ ุณุจุนู…ุงุฆุฉุŒ ุงู„ู ูˆ ุชุณุนู…ุงุฆุฉ ูˆ ุณุจุนุฉ ูˆ ุนุดุฑูŠู†
904
+
905
+ 227
906
+ 00:17:25,350 --> 00:17:29,570
907
+ ููˆุฌุฏู†ุง ุฅู† ููŠ ุงู„ุนุดุฑุฉ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ุชู„ุงุชุฉ ู…ูˆุฌูˆุฏุฉ ูˆ ูƒู„
908
+
909
+ 228
910
+ 00:17:29,570 --> 00:17:32,450
911
+ ุงู„ุฃู†ูˆุงุน ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ุงู„ุญู‚ูŠู‚ุฉ ูˆ ุฃู†ูˆุงุน ู…ู†ู‡ุง ู‡ุฐุง ูƒุงู†
912
+
913
+ 229
914
+ 00:17:32,450 --> 00:17:35,650
915
+ version ูˆ ู‡ุฐุง version ุชุงู†ูŠ ู„ู„ุนุดุฑ ู…ู„ูŠู…ุงุช ุฃูˆ ุงู„ุนุดุฑ
916
+
917
+ 230
918
+ 00:17:35,650 --> 00:17:41,930
919
+ ู…ูŠู„ุงุช ูƒุงู†ูˆุง ูŠุณู…ูˆู‡ุง ูุงู„ู…ู„ูŠู… ุจุจุณุงุทุฉ ุฅุฐุง ุจุฏูŠ ุฃุชูƒู„ู… ุนู†
920
+
921
+ 231
922
+ 00:17:41,930 --> 00:17:46,610
923
+ ุงู„ุชู„ุงุชุฉ ู…ู„ูŠู… ูˆ ุงู„ุนุดุฑุฉ ู…ู„ูŠู… ู‡ุฏูˆู„ุฉ ุฌุฏุงุด ุนุฏุฏ ุงู„
924
+
925
+ 232
926
+ 00:17:46,610 --> 00:17:52,030
927
+ amounts of postage ุจู‚ุฏุฑ ุฃุนู…ู„ุฃุจุนุช ู…ู†ู‡ู… ุฑุณุงุฆู„
928
+
929
+ 233
930
+ 00:17:52,030 --> 00:17:55,590
931
+ ุจุงุณุชุฎุฏุงู… ุงู„ุชู„ุงุชุฉ ุฃูˆ ุงู„ุนุดุฑุฉ ุฃูƒู… ู‚ูŠู…ุฉ ุจู‚ุฏุฑ ุฃุญุทู‡ ุนู„ู‰
932
+
933
+ 234
934
+ 00:17:55,590 --> 00:17:59,190
935
+ ุงู„ .. ุนู„ู‰ ุงู„ bossage ุฃูˆ ุงู„ .. ุงู„ .. ุงู„ .. ู‡ูŠ
936
+
937
+ 235
938
+ 00:17:59,190 --> 00:18:02,230
939
+ ุงู„ุฌูˆุงุจ ู‡ุฐุง ูƒุงู† ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ุฅูŠุด ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุจู‚ุฏุฑ
940
+
941
+ 236
942
+ 00:18:02,230 --> 00:18:06,490
943
+ ุฃุดุชุบู„ู‡ุงุŸ ุชู…ุงู…ุŒ ูˆ ู‡ุฐุง ู…ุงูƒู†ุด ููŠู‡ ู…ุดูƒู„ุฉ ูƒุณุคุงู„ุŒ ู„ูŠุดุŸ
944
+
945
+ 237
946
+ 00:18:06,490 --> 00:18:10,130
947
+ ู„ุฃู†ู‡ ุจู†ุฌุฑุจู‡ู…ุŒ ูˆ ู‡ู†ุดูˆูู‡ุง ู„ูˆ ุฌูŠุชุŒ ู‡ู†ุญู„ู‡ ุงู„ููƒุฑุฉ
948
+
949
+ 238
950
+ 00:18:10,130 --> 00:18:13,190
951
+ ุงู„ุชุงู†ูŠุฉุŒ ุฌุฒุก ุงู„ุชุงู†ูŠ ูƒุงู† ููŠ ุงู„ุณุคุงู„ ุฅู†ู‡ ุจุฏู†ุง ู†ุณุชุฎุฏู…
952
+
953
+ 239
954
+ 00:18:13,190 --> 00:18:16,010
955
+ the principle of mathematical induction
956
+
957
+ 240
958
+ 00:18:19,530 --> 00:18:22,810
959
+ inductive ุงู„ first principle ู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† ุงู„
960
+
961
+ 241
962
+ 00:18:22,810 --> 00:18:27,990
963
+ first principle ู„ุฃู† ุงู„ุณุคุงู„ ุงู„ุชุงู„ุช ูƒุชุจู„ูƒูŠู‡ ูˆุงุถุญ
964
+
965
+ 242
966
+ 00:18:27,990 --> 00:18:33,430
967
+ strong ู‡ู†ุง ูƒุงู† the principleู‡ู†ุง ูƒุงู† the principle
968
+
969
+ 243
970
+ 00:18:33,430 --> 00:18:37,550
971
+ ูุฃู†ุง ุฃุนุชู‚ุฏ ุฃู†ู‡ ุชุดุจู‡ ุนู„ู‰ ุงู„ูƒู„ ููŠ ูƒู„ ุงู„ู‚ุตุฉ ู‡ุฐู‡ ูˆู„ู…ู‘ุง
972
+
973
+ 244
974
+ 00:18:37,550 --> 00:18:40,350
975
+ ุญู„ุชู‡ ู‡ูˆ ู…ุงุญู„ุชู‡ูˆู‡ุงุด ูƒูˆูŠุณ ุฃุนุชู‚ุฏ ู‡ูŠูƒ ูˆุนุดุงู† ู‡ูŠูƒ ูƒุงู†
976
+
977
+ 245
978
+ 00:18:40,350 --> 00:18:43,410
979
+ ุทุจูŠุนูŠ ุฃู†ู‡ ู„ุงุฒู… ุฃุฌูŠุจู‡ุง ู…ุฏุงู… ุดุนุฑุช ุฃู†ู‡ ููŠู‡ ุดูŠุก ุบู„ุท
980
+
981
+ 246
982
+ 00:18:43,410 --> 00:18:46,950
983
+ ุชู…ุงู… ู‡ุงุช ู†ูุณูƒู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงู„ุฃูˆู„ู‰ ู…ุงูƒู†ุด ููŠ ุนู†ุฏูŠ
984
+
985
+ 247
986
+ 00:18:46,950 --> 00:18:51,070
987
+ ู…ุดูƒู„ุฉ ุจุชู‚ุฏุฑูˆุง ู‡ูŠ ุชุฌุฑุจูˆู‡ุง ุจุณู„ุงุณุฉ ูˆุฃูƒูŠุฏ ุงู†ุชูˆุง ุญู„ุชูˆู‡ุง
988
+
989
+ 248
990
+ 00:18:51,070 --> 00:18:57,060
991
+ ุจู‚ุฏุฑ ุฃุฌูŠุจ ุงู„ุชู„ุงุชุฉ ู…ู„ูŠู†ุทุจูŠุนูŠ ุจุชู„ุงุชุฉ ู…ู„ูŠู…ุงุช ูู„ุณุทูŠู†ูŠุฉ
992
+
993
+ 249
994
+ 00:18:57,060 --> 00:19:00,180
995
+ ุทุจุนุง ุงู„ู…ูŠู„ูŠู… ุงู„ูู„ุณุทูŠู†ูŠ ุชุจุนู†ุง ุชู„ุงุช ู…ู„ูŠู…ุงุช ุจุชู‚ุฏุฑ
996
+
997
+ 250
998
+ 00:19:00,180 --> 00:19:05,000
999
+ ุชุงุฎุฏ ุณุชุฉ ู…ุงุจูŠู†ู‡ู… ุจุชู‚ุฏุฑุด ูŠุนู†ูŠ ู„ุง ุฃุฑุจุนุฉ ูˆู„ุง ุงู„ุฎู…ุณุฉ
1000
+
1001
+ 251
1002
+ 00:19:05,000 --> 00:19:09,500
1003
+ ุจุชู‚ุฏุฑ ุชุดูƒู„ู‡ู… ุจุชู„ุงุชุฉ ุฃูˆ ุนุดุฑุฉ ูุงู„ุณุชุฉ ู…ู…ูƒู† ุงู„ุชุณุนุฉ
1004
+
1005
+ 252
1006
+ 00:19:09,500 --> 00:19:17,820
1007
+ ู…ู…ูƒู† ุงู„ุนุดุฑุฉ ู‡ูˆ ุฃุตู„ุง given ู…ุนุทู‰ ุงุชู…ุนุงุด ููŠ ู…ุฌุงู„ ุชู„ุงุช
1008
+
1009
+ 253
1010
+ 00:19:17,820 --> 00:19:22,160
1011
+ ุนุดุฑ ุงู‡ ู…ู…ูƒู† ุฎู…ุณ ุนุดุฑ ุจู…ุดูŠ ุงู„ุญุงู„ ุฃุฑุจุนุฉ ุนุดุฑ ู…ุงุจุชุตุจุทุด
1012
+
1013
+ 254
1014
+ 00:19:22,160 --> 00:19:32,040
1015
+ ู…ุนู†ุงู†ู‡ุงุฆูŠ 16 ุจุธุจุท ู…ุนุงู†ุง 18 ูˆู…ู† ุจุนุฏ 18 ุจุชุตูŠุฑ ูƒู„ู‡
1016
+
1017
+ 255
1018
+ 00:19:32,040 --> 00:19:39,060
1019
+ ู…ู…ูƒู† ูƒู„ู‡ ู…ู…ูƒู† ุจุงู„ุธุจุท ุตุงุฑ ุนู†ุฏูƒ ุงู„ 18 19 21 22 ูˆูƒู…ู„
1020
+
1021
+ 256
1022
+ 00:19:39,060 --> 00:19:44,680
1023
+ ูุฅุฐุง ุจุชู‚ุฏุฑ ุชูƒู…ู„ ุงู„ูƒู„ ุชู‚ุฏุฑ ุชูƒู…ู„ ุงู„ูƒู„ ุงู„ุฃู‡ู… ุงู„ุฅุฌุงุจุฉ
1024
+
1025
+ 257
1026
+ 00:19:44,680 --> 00:19:51,140
1027
+ ู‡ุฐู‡ ุจุฏู‡ุง ุฅุซุจุงุชุงุซุจุช ุจุฅูŠุดุŸ ู…ุง ู‚ุจู„ ุงู„ 18 ูุงุด ู…ุดูƒู„ุฉ
1028
+
1029
+ 258
1030
+ 00:19:51,140 --> 00:19:54,200
1031
+ ููŠู‡ ู„ุฅู† ู‡ุงูŠ ู‡ู… ู‡ุฏูˆู„ุฉ ุจุณ ูุงู†ุง ุญุตุฑุชู„ู‡ ูŠู‡ู… ุญุตุฑ ูƒุงู…ู„
1032
+
1033
+ 259
1034
+ 00:19:54,200 --> 00:20:01,300
1035
+ ู„ูƒู† ู…ุดูƒู„ุชู‡ ู‡ูˆ ู…ุนุงูŠุง ููŠ ุงู„ ellipses ู‡ุฐู‡ ู„ุฌุฏุงุด
1036
+
1037
+ 260
1038
+ 00:20:01,300 --> 00:20:04,900
1039
+ ุงุซุจุชู„ูŠ ุฅู†ู‡ ูุนู„ุง ุจุชุธู„ ู…ุณุชู…ุฑ ุจุนุฏ ู‡ูŠูƒ ู‡ุงูŠ ุงู„ููƒุฑุฉ
1040
+
1041
+ 261
1042
+ 00:20:04,900 --> 00:20:07,300
1043
+ ูุงุญู†ุง ู„ุขู† ู…ุฏู†ุงุด ู†ุซุจุช ู…ุงู‡ูŠ ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ุณุงุจู‚ ุฎู„ุงุต
1044
+
1045
+ 262
1046
+ 00:20:07,300 --> 00:20:12,400
1047
+ ุงุญู†ุง .. ุงู†ุง ุงุนุชู‚ุฏุช ูˆูŠุงู‡ ุญุตุฑุง ุงุนุชู‚ุฏุช ูˆูŠุงู‡ ุญุตุฑุง ุงู„
1048
+
1049
+ 263
1050
+ 00:20:12,400 --> 00:20:16,060
1051
+ .. ุงู„ููƒุฑุฉ ููŠู†ุง ุจุนุฏุงู„ุฌุฒูˆุฉ ุงู„ ellipses ุงู„ู„ูŠ ุงุญู†ุง
1052
+
1053
+ 264
1054
+ 00:20:16,060 --> 00:20:18,740
1055
+ ุญุทู†ุงู‡ู… ู‡ุฏูˆู„ุฉ ุงุซุจุชู„ูŠ ุงู†ู‡ ูุนู„ุง ู‡ุชุธู„ ู…ุณุชู…ุฑุฉ ูˆ
1056
+
1057
+ 265
1058
+ 00:20:18,740 --> 00:20:24,760
1059
+ infinity ุชู…ุงู… ูุนุดุงู† ู‡ูŠูƒ ู‡ู†ุฑูˆุญ ู„ูุฑุถูŠุชู†ุง ุงู†ู‡ ู„ุนู†ุฏ ุงู„
1060
+
1061
+ 266
1062
+ 00:20:24,760 --> 00:20:29,540
1063
+ postage 18 ุงูˆ ุงูƒุชุฑ ู‡ุฐู‡ ุงู„ูุฑุถูŠุฉ ุงู„ู„ูŠ ุจู†ุดุทุฑ ุนู„ูŠู‡ุง 18
1064
+
1065
+ 267
1066
+ 00:20:29,540 --> 00:20:35,020
1067
+ ุงูˆ ุงูƒุชุฑ ุจู‚ุฏุฑ ุงุนู…ู„ู‡ู… forming ู…ู† ุงู„ุชู„ุงุชุฉ ูˆุงู„ุนุดุฑุฉ
1068
+
1069
+ 268
1070
+ 00:20:35,020 --> 00:20:42,390
1071
+ stampsูุฅุฐู† ูƒุฃู†ู‡ ุตุงุฑุช P of N is true ู„ูƒู„ ู‚ูŠู… N ุฃูƒุจุฑ
1072
+
1073
+ 269
1074
+ 00:20:42,390 --> 00:20:46,950
1075
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ 18 ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ 18 ุงุฎุชุฒู„ู†ุง ุงู„ู†ุธุฑูŠุฉ
1076
+
1077
+ 270
1078
+ 00:20:46,950 --> 00:20:49,430
1079
+ ุจุชุงุนุชู†ุง ููŠ ุงู„ุฌุฒุก ู‡ุฐุง ู„ุฅูŠุดุŸ ู„ุฃู† ู…ุง ู‚ุจู„ ุงู„ 18
1080
+
1081
+ 271
1082
+ 00:20:49,430 --> 00:20:52,650
1083
+ ุงู†ุชู‡ูŠู†ุง ู…ู†ู‡ุง ุงุญู†ุง ุจุงู„ุนูƒุณ ุญุตุฑู†ุงู‡ุง ุญุตุฑุง ูƒุงู…ู„ุง ู‡ูŠ
1084
+
1085
+ 272
1086
+ 00:20:52,650 --> 00:20:56,250
1087
+ ุงุญู†ุง ู…ุดูƒู„ุชู†ุง ููŠู…ุง ุจุนุฏ ุฐู„ูƒ ุงู„ู„ูŠ ู…ุด ู‚ุงุฏุฑ ุฃุญุตุฑู‡ ู…ุด
1088
+
1089
+ 273
1090
+ 00:20:56,250 --> 00:21:02,510
1091
+ ู‡ู‚ุฏุฑ ุฃุญุตุฑู‡ ุชู…ุงู… ุนู„ู‰ ู‡ุฐู‡ ุงู„ููƒุฑุฉ ู‡ู†ุดุชุบู„ ุงู„ business
1092
+
1093
+ 274
1094
+ 00:21:02,510 --> 00:21:06,320
1095
+ ุชุจูุฑ ู…ุงุนู†ุฏูŠุด ู…ุดูƒู„ุฉ ููŠู‡ุงู‡ูŠ ุงู„ business tip ุชู…ุงู…
1096
+
1097
+ 275
1098
+ 00:21:06,320 --> 00:21:13,340
1099
+ ุงู„ู„ูŠ ู‡ูŠ ู…ู† 18 19 ูˆ 20 ูˆ ุจู†ู‚ุฏุฑ ู†ุฑูˆุญ ู„ู„ 21 ูƒู…ุงู†
1100
+
1101
+ 276
1102
+ 00:21:13,340 --> 00:21:18,560
1103
+ ุชู…ุงู…ุŸ ูƒูˆูŠุณ ุงู„ุขู† ุฃู†ุง ุจุดุชุบู„ ุนู„ู‰ ุงู„ principle of
1104
+
1105
+ 277
1106
+ 00:21:18,560 --> 00:21:23,260
1107
+ mathematical induction ุจุฏู†ุง ู†ุงุฎุฏ ุงู„ุชู„ุช ุงูˆ ูุนู„ุง
1108
+
1109
+ 278
1110
+ 00:21:23,260 --> 00:21:25,620
1111
+ ุงู„ุชู„ุช ุญุงู„ุงุช ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุงู„ุชู„ุช ุญุงู„ุงุช ุงู„ู„ูŠ
1112
+
1113
+ 279
1114
+ 00:21:25,620 --> 00:21:31,120
1115
+ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุฅุฐุง ูƒุงู†ุช B ofP of N is true ูƒูŠู ุจุฏูŠ
1116
+
1117
+ 280
1118
+ 00:21:31,120 --> 00:21:36,260
1119
+ ุฃุซุจุช ุฃู† P of N ุฒุงุฆุฏ ูˆุงุญุฏ is true ู…ุด ู‡ุงุฎุฏู‡ุง ู…ู† ุงู„ู„ูŠ
1120
+
1121
+ 281
1122
+ 00:21:36,260 --> 00:21:41,560
1123
+ ู‚ุจู„ ู„ุฃ ู‡ุงุฎุฏู‡ุง ู…ู†ู‡ุง ู†ูุณู‡ุง ูุฅุฐุง ู…ุด ู‡ูŠูƒ ุงู„ first
1124
+
1125
+ 282
1126
+ 00:21:41,560 --> 00:21:44,840
1127
+ principle ุฃู†ุง ู…ุงู„ูŠุด ุนู„ุงู‚ุฉ ุจุงู„ู„ูŠ ู…ุง ู‚ุจู„ ุงู„ N ุฃู†ุง
1128
+
1129
+ 283
1130
+ 00:21:44,840 --> 00:21:50,980
1131
+ ุจู‚ูˆู„ P of N ุฃูˆ K is
1132
+
1133
+ 284
1134
+ 00:21:50,980 --> 00:21:57,220
1135
+ true ู…ุนู†ุงุชู‡ P of K ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฑุถู‡ is true
1136
+
1137
+ 285
1138
+ 00:22:01,500 --> 00:22:07,900
1139
+ ุจูƒู„ ุจุณุงุทุฉ ู…ุฏุงู… ุชู…ู†ุชุนุด ู…ุนู†ุงุชู‡ ุฃู†ุง ุจุชูƒู„ู… ุนู† ุณุชุฉ six
1140
+
1141
+ 286
1142
+ 00:22:07,900 --> 00:22:14,720
1143
+ stems ููŠ ุชู„ุงุชุฉ ู…ู„ูŠูˆู† ุตุญุŸ ูƒูˆูŠุณ ุงุณุชุจุฏู„ ูƒู„ ุชู„ุงุชุฉ
1144
+
1145
+ 287
1146
+ 00:22:14,720 --> 00:22:21,020
1147
+ ุจstem ุนุดุฑุฉ ุตุญุŸ
1148
+
1149
+ 288
1150
+ 00:22:21,020 --> 00:22:29,220
1151
+ ูƒู„ ุชู„ุงุชุฉ ู…ู† ุงู„ุชู„ุงุชุฉ ู…ู„ูŠูˆู† ุงุณุชุจุฏู„ู‡ู… ุจูˆุงุญุฏุฉ
1152
+
1153
+ 289
1154
+ 00:22:30,230 --> 00:22:35,970
1155
+ ุนุดุฑุฉ ู…ู„ูŠู† ุฒุฏู†ุง ูˆุงุญุฏ ุฒุฏู†ุง ูˆุงุญุฏ ู‡ุงูŠ ุฃูˆู„ scenario ุจุณ
1156
+
1157
+ 290
1158
+ 00:22:35,970 --> 00:22:39,750
1159
+ ุจุชุตูŠุฑูˆุง ุงู„ุชุณุนุฉ ู…ู„ูŠู† ูˆ ู‡ุงู† ุนุดุฑุฉ ู…ู„ูŠู† ู…ุงุดูŠ ุตุญ ู…ุง ู‡ูŠ
1160
+
1161
+ 291
1162
+ 00:22:39,750 --> 00:22:43,790
1163
+ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ู‚ูˆู„ู‡ ู‡ูŠ ู‡ู‰ ุงุดูŠ ุงู„ู„ูŠ ุจูŠุณุชุจุฏู„ ุจู…ุนู†ู‰ ุงู†ู‡
1164
+
1165
+ 292
1166
+ 00:22:43,790 --> 00:22:48,290
1167
+ ู‡ูŠ ุงู„ุทู…ู† ุทุนุด ู…ุซู„ุง ุนู†ุฏูŠ ุชู„ุงุชุฉ ู…ู„ูŠู† ุตุญ ุฃูƒู…ู„ ูˆุงุญุฏุฉ
1168
+
1169
+ 293
1170
+ 00:22:48,290 --> 00:22:52,430
1171
+ ู…ู†ู‡ู… ููŠ ุณุช ุทูˆุงุจุน ู‡ุงุฎุฏ ู…ู†ู‡ู… ุชู„ุงุชุฉ ุฃุดูŠู„ ุชู„ุงุชุฉ
1172
+
1173
+ 294
1174
+ 00:22:52,430 --> 00:22:54,070
1175
+ ูˆุงุณุชุจุฏู„ู‡ู… ู…ุงุจูŠู‚ุงุด ุจุนุดุฑุฉ
1176
+
1177
+ 295
1178
+ 00:22:59,140 --> 00:23:02,000
1179
+ ุชุณุนุฉ ุนุดุฑ ู‡ูŠู‡ุงุŒ ู…ุนู†ุงุชู‡ ู…ู† ุงู„ุชู…ู†ุชุงุด ุฃู†ุง ูˆู„ุฏุช ุงู„ุชุณุนุฉ
1180
+
1181
+ 296
1182
+ 00:23:02,000 --> 00:23:06,220
1183
+ ุนุดุฑุŒ ุฌุจุช ุงู„ุชุณุนุฉ ุนุดุฑุŒ ุจุงู„ุถุจุท ู…ู† ุงู„ูˆุงุญุฏ ูˆ ุฃุดุฑูŠู†
1184
+
1185
+ 297
1186
+ 00:23:06,220 --> 00:23:09,800
1187
+ ุจุชุนู…ู„ ุจุฑุถู‡ ู…ูŠู†ุŸ ุงู„ุงุชู†ูŠู† ูˆ ุฃุดุฑูŠู†ุŒ ู‡ุชุงุฎุฏ ุชู„ุงุชุฉ ู…ู†
1188
+
1189
+ 298
1190
+ 00:23:09,800 --> 00:23:12,920
1191
+ ุงู„ุณุจุนุฉุŒ ุจูŠุธู„ ุนู†ุฏูƒ ุฃุฑุจุนุฉุŒ ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ ุชุณุชุจุฏู„ู‡ู…
1192
+
1193
+ 299
1194
+ 00:23:12,920 --> 00:23:16,780
1195
+ ุจู…ูŠู†ุŸ ุจุนุดุฑุฉุŒ ุชุณุชุจุฏู„ู‡ู… ุจุนุดุฑุฉุŒ ูุจุชุฑูˆุญ ู„ุชู†ูŠู† ูˆ ุฃุดุฑูŠู†
1196
+
1197
+ 300
1198
+ 00:23:16,780 --> 00:23:21,940
1199
+ ู…ู„ูŠู…ุŒ ุชู…ุงู…ุŒ ู‡ุฐุง ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ุฃูˆู„ุŒ ุทูŠุจุŒ ุงู„ุณูŠู†ุงุฑูŠูˆ
1200
+
1201
+ 301
1202
+ 00:23:21,940 --> 00:23:25,080
1203
+ ุงู„ุชุงู†ูŠ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุนุดุฑุชูŠู†
1204
+
1205
+ 302
1206
+ 00:23:31,010 --> 00:23:40,710
1207
+ ุนููˆุง ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ู…ู„ูŠู… ุงุณุชุจุฏู„ู‡ู… ุจุณุจุนุฉ ููŠ ุชู„ุงุชุฉ
1208
+
1209
+ 303
1210
+ 00:23:40,710 --> 00:23:44,570
1211
+ ู…ู„ูŠู… ู‡ุงูŠ
1212
+
1213
+ 304
1214
+ 00:23:44,570 --> 00:23:48,010
1215
+ ูˆุงุญุฏ ุฒูŠุงุฏุฉ ุตุญุŸ ู‡ู†ุง ูƒุงู† ุงู„ู…ูุฑูˆุถ ู‚ูŠู…ุฉ ุงู„ุนุดุฑูŠู† ุดูŠู„ุช
1216
+
1217
+ 305
1218
+ 00:23:48,010 --> 00:23:52,730
1219
+ ุงู„ุนุดุฑูŠู† ุญุงุทุท ู…ุงูƒุงู† ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† ูˆ ู„ูˆ ููŠ ุชู„ุชุงุช ุงูˆ
1220
+
1221
+ 306
1222
+ 00:23:52,730 --> 00:23:55,710
1223
+ combination ุชุงู†ูŠุฉ ุงู†ุช ูƒู„ ุงู„ู„ูŠ ุนู…ู„ุชู‡ ุงู†ู‡ ุฃุฎุฏุช ู…ู†ู‡
1224
+
1225
+ 307
1226
+ 00:23:55,710 --> 00:23:58,610
1227
+ ุนุดุฑูŠู† ูˆ ุฑุฌุนุชู„ู‡ ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† ูู…ู…ูƒู† ุชูƒูˆู† ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ
1228
+
1229
+ 308
1230
+ 00:23:58,610 --> 00:24:03,900
1231
+ ุชุงู†ูŠุฉู…ุง ุชุจู‚ู‰ ุงู†ุช ุฎู„ุชู‡ ุฒูŠ ู…ุง ู‡ูˆ ู…ู† .. ู…ู† ุงู„ู…ุฌู…ูˆุนุŒ
1232
+
1233
+ 309
1234
+ 00:24:03,900 --> 00:24:09,260
1235
+ ุถุงู„ ุฒูŠ ู…ุง ู‡ูˆ ุฅูŠุด ูƒู…ุงู† ููŠู‡ ุณูŠู†ุงุฑูŠูˆู‡ุงุช ุชุงู†ูŠุฉุŸ ูƒู„ู‡ู…
1236
+
1237
+ 310
1238
+ 00:24:09,260 --> 00:24:12,440
1239
+ ู‡ูŠุถู„ ู…ุนุงูƒู…ุŒ ูŠุง ุนุดุฑุชูŠู†ุŒ ูƒู„ู‡ู… ู‡ูŠูƒูˆู† ููŠู‡ู…ุŒ ูŠุง ุนุดุฑุชูŠู†ุŒ
1240
+
1241
+ 311
1242
+ 00:24:12,440 --> 00:24:17,080
1243
+ ูŠุง ุชู„ุชุŒ ุชู„ุช .. ุชู„ุชุฉ ููŠ ุงู„ุขุฎุฑ ู…ู† ุงู„ู„ูŠ .. ุงู„ู„ูŠ
1244
+
1245
+ 312
1246
+ 00:24:17,080 --> 00:24:22,940
1247
+ ู…ูˆุฌูˆุฏูŠู†ุŒ ูู‡ูŠ ุงู„ุณูŠู†ุงุฑูŠูˆ ุงู„ุฃูˆู„ุŒ ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏูƒุชู„ุชุงุช
1248
+
1249
+ 313
1250
+ 00:24:22,940 --> 00:24:27,920
1251
+ ูุจุชุงุฎุฏ ู…ู†ู‡ู… ุชู„ุช ุชู„ุชุงุช ูˆุจุชุณุชุจุฏู„ู‡ู… ุจุนุดุฑุฉ ุจุชุดูŠู„ ุงู„ุชู„ุช
1252
+
1253
+ 314
1254
+ 00:24:27,920 --> 00:24:31,740
1255
+ ุชู„ุชุงุช ู‡ุฏูˆู„ุฉ ุจุชุญุท ู…ูƒุงู†ู‡ู… ุนุดุฑุฉ ุงู„ุญุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ุฅุฐุง
1256
+
1257
+ 315
1258
+ 00:24:31,740 --> 00:24:37,840
1259
+ ุฏุงุฆู…ุง ู‚ู„ู†ุง ุนู†ุฏูƒ two tin millions stamp ุจุชุณุชุจุฏู„ู‡ู…
1260
+
1261
+ 316
1262
+ 00:24:37,840 --> 00:24:41,340
1263
+ ุจุชุงุฎุฏ ู…ู†ู‡ู… tin ุชูŠู† ูˆุจุชุณุชุจุฏู„ู‡ุง ุจุณุจุนุฉ ู…ู† ุงู„ three
1264
+
1265
+ 317
1266
+ 00:24:41,340 --> 00:24:43,080
1267
+ million
1268
+
1269
+ 318
1270
+ 00:24:44,370 --> 00:24:47,170
1271
+ ุงู„ุงุฎูŠุฑุฉ ู…ุงุนุฑูุด ุฅุฐุง ูƒุงู† ููŠู‡ุง ุงูŠู‡ ุนู†ุฏูƒ ู…ุซู„ุง ุญุงู„ุฉ
1272
+
1273
+ 319
1274
+ 00:24:47,170 --> 00:24:53,810
1275
+ ุชุงู„ุชุฉ ุงุนุทุงู†ุง ุฅูŠุงู‡ุง ูˆุฅู† ูƒุงู† ูŠู…ูƒู† ู‡ุชุฎู„ูŠู‡ุง ุงู‡ ู‡ู†ุง ุฅุฐุง
1276
+
1277
+ 320
1278
+ 00:24:53,810 --> 00:25:01,330
1279
+ ูƒุงู†ุช ุชุญุชูˆูŠ ุนู„ู‰ one ten ุฒุงุฆุฏ ุงู„ three ุงูŠุด ุงู„ three
1280
+
1281
+ 321
1282
+ 00:25:01,330 --> 00:25:08,010
1283
+ ู…ู„ูŠูˆู† ู…ู…ูƒู† ู†ุณุชุจุฏู„ู‡ู… ุจู…ูŠู† ุงู„ two ุนูƒุณู‡ุง
1284
+
1285
+ 322
1286
+ 00:25:11,660 --> 00:25:16,180
1287
+ ุจุงู„ุถุจุท ุงู†ุช ุจุชุฒูˆุฏ ุงู„ุนุดุฑุฉ ูู‚ุท ุจุชุฒูˆุฏ ู…ุนุงู‡ู… ุนุดุฑุฉ
1288
+
1289
+ 323
1290
+ 00:25:16,180 --> 00:25:20,500
1291
+ ูุจุชุณุชุจุฏู„ู‡ู… ุจุนุดุฑุชูŠู† ููŠ ุงู„ุขุฎุฑ ุงู„ู„ูŠ ู‡ูŠ ุนุดุฑุฉ ู…ุน ุชู„ุงุชุฉ
1292
+
1293
+ 324
1294
+ 00:25:20,500 --> 00:25:22,920
1295
+ ูู‡ูŠ ู†ูุณ ุงู„ููƒุฑุฉ ููŠุนู†ูŠ ูุนู„ูŠุง ุฒูŠ ู…ุง ู‚ู„ุช ู„ูƒ ู‡ู…
1296
+
1297
+ 325
1298
+ 00:25:22,920 --> 00:25:25,680
1299
+ ุงู„ุญุงู„ุชูŠู† ุงู„ู„ูŠ ู…ู…ูƒู† ุงู†ุช ุชุชุนุงู…ู„ ู…ุนู‡ู… ู‡ุฏูˆู„ุฉ ุจุถู…ู†ูˆู„ูƒ
1300
+
1301
+ 326
1302
+ 00:25:25,680 --> 00:25:29,000
1303
+ ุงู† ูƒู„ ู…ุง ุจุนุฏ ุงู„ุทู…ู†ุชุนุด ู‡ูŠูƒูˆู† ุถู…ู† ูˆุงุญุฏุฉ ู…ู† ุงู„ rules
1304
+
1305
+ 327
1306
+ 00:25:29,000 --> 00:25:36,870
1307
+ ู‡ุฏูˆู„ ู„ุงู†ู‡ ุฏุงุฆู…ุง ู‡ูŠูƒูˆู† ุนู†ุฏูƒ ูŠุง ุชู„ุงุชุฉุชู„ุงุชุงุช ู…ู„ูŠู† ุฃูˆ
1308
+
1309
+ 328
1310
+ 00:25:36,870 --> 00:25:41,470
1311
+ ุนุดุฑุชูŠู† ู…ู„ูŠู† ุฏุงูŠู…ุง ู‡ุชุธู‡ุฑ ุนู†ุฏูƒ ู†ูุณ ุงู„ combination
1312
+
1313
+ 329
1314
+ 00:25:41,470 --> 00:25:46,190
1315
+ ู‡ุฏูˆู„ ู…ูˆุฌูˆุฏูŠู† ู…ุงุฏุงู…ุง ู†ุชูƒู„ู… ู…ู† ููˆู‚ ุงู„ 18 ููˆู‚ 18 ุชู…ุงู…
1316
+
1317
+ 330
1318
+ 00:25:46,190 --> 00:25:50,810
1319
+ ู‡ุงูŠ ุงู„ first principle ุงู†ุชูˆุง ุฑูˆุญุชูˆุง ู„ู„ strongุงู†ุชูˆุง
1320
+
1321
+ 331
1322
+ 00:25:50,810 --> 00:25:52,430
1323
+ ุงุดุชุบู„ุชูˆุง ุนู„ู‰ ุงู„ strong ูˆ ู‡ุฏ ู…ุงุนู†ุฏุงุด ู…ุดูƒู„ุฉ ููŠู‡ุง
1324
+
1325
+ 332
1326
+ 00:25:52,430 --> 00:25:56,950
1327
+ ุฎู„ุงุต ุจูŠูƒูˆู† ุนู†ุฏูƒ ุงู„ business step ุชู…ุงู… ูˆ .. ูˆ ู‡ุฏ ู…ุด
1328
+
1329
+ 333
1330
+ 00:25:56,950 --> 00:25:59,330
1331
+ ู‡ุชูƒู„ู… ููŠู‡ุง ูƒุชูŠุฑ ู…ุฏุงู… ุงู†ุชูˆุง ุญู„ูŠุชูˆู‡ุง ุฃุตู„ุง ุฃู†ุง ูƒุงู†
1332
+
1333
+ 334
1334
+ 00:25:59,330 --> 00:26:03,090
1335
+ ู…ุดูƒู„ุชูŠ ุจุณ ููŠ ุฌุฒุฆูŠุฉ B ุงู„ู„ูŠ .. ุงู„ู„ูŠ ูู‡ู…ุชู‡ ุจุนุฏ ู‡ูŠูƒูŠ
1336
+
1337
+ 335
1338
+ 00:26:03,090 --> 00:26:07,370
1339
+ ุฃู†ุง ู…ุงุนุฑูุด ุฅูŠุด ุงู„ู„ูŠ ุนู…ู„ุชู‡ ู…ุน ุงู„ .. ู„ู…ุง ุณู„ู…ุชู‡ ู„ูƒู†
1340
+
1341
+ 336
1342
+ 00:26:07,370 --> 00:26:11,870
1343
+ ูู‡ู…ุช ุฃู†ู‡ ุงู„ุญู„ ูƒุงู† ุนู„ู‰ ุงู„ strong ุจุณ ูู‚ูˆู„ุชู„ู‡ู… ู„ุง ูŠุง
1344
+
1345
+ 337
1346
+ 00:26:11,870 --> 00:26:17,790
1347
+ ุฌู…ุงุนุฉ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ูƒุงู† ููŠ ูุฑุณุช ููŠ ุงู„ุฃูˆู„ ูˆ ุงุชูˆู‚ุนุช
1348
+
1349
+ 338
1350
+ 00:26:17,790 --> 00:26:21,540
1351
+ ุงู† ุงู†ุชูˆุง ุชุณุฃู„ูˆุง ููŠู‡ุง ุงู„ูุฑุณุช ุฃุตู„ุงุชู…ุงู… ูู‡ุฐู‡ ู…ุงูƒู†ุด
1352
+
1353
+ 339
1354
+ 00:26:21,540 --> 00:26:28,240
1355
+ ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ููŠู‡ุง ุจู†ุฌูŠุจ P of K ุฒุงุฆุฏ ูˆุงุญุฏ ู…ู† P of K
1356
+
1357
+ 340
1358
+ 00:26:28,240 --> 00:26:34,260
1359
+ ู†ุงู‚ุต ุงุชู†ูŠู† ูู‡ูŠ ุตุงุฑุช ุฌุงุจู„ ุงู„ K ูู‡ู†ุง ุตุงุฑุช strong
1360
+
1361
+ 341
1362
+ 00:26:34,260 --> 00:26:38,060
1363
+ ุนุดุงู†ูƒ ุตุงุฑุช strong ููƒู„ K ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ูŠ ู…ุฑุจูˆุทุฉ ุจK
1364
+
1365
+ 342
1366
+ 00:26:38,060 --> 00:26:41,680
1367
+ ู†ุงู‚ุต ุงุชู†ูŠู† ู„ุฃู† ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุชู„ุงุชุฉ ูˆุงู†ุง ุนู†ุฏูŠ stamp ุจ
1368
+
1369
+ 343
1370
+ 00:26:41,680 --> 00:26:48,980
1371
+ ุชู„ุงุชุฉ ู…ู„ูŠู… ูู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ูƒุงููŠ ุฌุฏุง ุชู…ุงู…ุงู„ุงู† ุณุงุฏุฉ
1372
+
1373
+ 344
1374
+ 00:26:48,980 --> 00:26:54,760
1375
+ .. ูŠุนู†ูŠ ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ุจุณูŠุทุฉ
1376
+
1377
+ 345
1378
+ 00:26:54,760 --> 00:26:58,260
1379
+ ุฌุฏุง ุฌุฏุง ุฌุฏุง ุงู„ุญู‚ูŠู‚ุฉ ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ู…ุด ู…ุณุชุงู‡ู„ุฉ ุดุบู„
1380
+
1381
+ 346
1382
+ 00:26:58,260 --> 00:27:02,020
1383
+ ุงู„ู„ูŠ ู‡ูˆ Euclidean Algorithm ู„ุฑู‚ู…ูŠู†ุŒ ู‡ุฐุง ูƒุงู† ููŠ
1384
+
1385
+ 347
1386
+ 00:27:02,020 --> 00:27:06,680
1387
+ ุณุคุงู„ุŒ ููŠ ุงู…ุชุญุงู†ุŒ ูˆุงู„ู…ุทู„ูˆุจ ุฃู† ุงู„ู†ุชูŠุฌุฉ ุชุฌูŠุจ ู„ู†ุง ู…ู†ู‡ุง
1388
+
1389
+ 348
1390
+ 00:27:06,680 --> 00:27:11,740
1391
+ ุงู„ least common multiple ูƒูˆูŠุณุŸ ู…ู† ู†ุชูŠุฌุชู‡ุงุŒ ู…ุด
1392
+
1393
+ 349
1394
+ 00:27:11,740 --> 00:27:15,480
1395
+ ุชุญู„ู„ูŠู‡ุงุŒ ุจุฏูŠุด ุฃุญู„ู„ู‡ุงุŒ ู…ุงุจุฏู†ุง ู†ุญู„ู„ู‡ุงุŒ ููƒุงู† ุจูƒู„
1396
+
1397
+ 350
1398
+ 00:27:15,480 --> 00:27:21,220
1399
+ ุจุณุงุทุฉุจุดุบู„ ุงู„ุดุบู„ ุงู„ุทุจูŠุนูŠ ุงู„ู„ูŠ ุงู†ุชูˆุง ุนุงุฑููŠู†ู‡ ุนุดุงู†
1400
+
1401
+ 351
1402
+ 00:27:21,220 --> 00:27:24,980
1403
+ ุงุตู„ู‘ุน ุงู„ grade of common divisor ุจุงุณุชุฎุฏุงู… ุงู„
1404
+
1405
+ 352
1406
+ 00:27:24,980 --> 00:27:29,040
1407
+ Euclidean distance ู†ุตู„ู‘ุญ ุงู„ู†ุชูŠุฌุฉ ุนู„ู‰ ุงู„ุณุฑูŠุน
1408
+
1409
+ 353
1410
+ 00:27:29,040 --> 00:27:32,080
1411
+ ู‡ูŠูˆุตู„ู†ุง ู„ู†ุชูŠุฌุฉ ุงู„ู†ุชูŠุฌุฉ ุงูŠุด ุจุชู‚ูˆู„ุŸ ุจุชู‚ูˆู„ ุงู†ู‡ ุทู„ุน ููŠ
1412
+
1413
+ 354
1414
+ 00:27:32,080 --> 00:27:39,060
1415
+ ุงู„ุงุฎุฑ ูˆุงุญุฏ ูŠุนู†ูŠ ุงู† ุงู„ุงุชู†ูŠู† ุงูŠุดุŸ Co-prime ุทูŠุจ ุนู†ุฏู†ุง
1416
+
1417
+ 355
1418
+ 00:27:39,060 --> 00:27:44,230
1419
+ ู‚ุงุนุฏุฉ Aูู‰ ุจู‰ ุชุณุงูˆูŠ ุงู„ greatest common divisor
1420
+
1421
+ 356
1422
+ 00:27:44,230 --> 00:27:48,070
1423
+ between them ู…ุถุฑูˆุจ ูู‰ ุงู„ multiple ุงูˆ ุงู„ least
1424
+
1425
+ 357
1426
+ 00:27:48,070 --> 00:27:53,650
1427
+ multiple multiplication ุจูŠู†ู‡ู… ุจูŠู† ุงู„ุงุชู†ูŠู† ูุงู„ู†ุชูŠุฌุฉ
1428
+
1429
+ 358
1430
+ 00:27:53,650 --> 00:27:56,030
1431
+ ุฏู‰ ู…ุถุฑูˆุจุฉ ูุงู„ู†ุชูŠุฌุฉ ุฏู‰ ุจุชุทู„ุน ูƒุฅู†ู‡ ุงูŠู‡ ูู‰ ุจู‰ ู…ุธุจูˆุท
1432
+
1433
+ 359
1434
+ 00:27:56,030 --> 00:28:01,490
1435
+ ู…ุจุงุดุฑุฉ ูู…ุนู†ู‰ ุฐู„ูƒ ุจุจุณุงุทุฉ ู…ุฏุงู… ุนู†ุฏูƒ ุงู„ู†ุชูŠุฌุฉ ุถุฑุจู‡ู… ููŠ
1436
+
1437
+ 360
1438
+ 00:28:01,490 --> 00:28:08,560
1439
+ ุจุนุถ ุจุชู‚ุฏุฑ ุชุฌูŠุจู‡ุจู‡ุฐุง ุงู„ุดูƒู„ ูุงู„ Lcm ุถุฑุจู‡ู… ุนู„ู‰
1440
+
1441
+ 361
1442
+ 00:28:08,560 --> 00:28:09,920
1443
+ greatest common divisor ูˆุงู„ greatest common
1444
+
1445
+ 362
1446
+ 00:28:09,920 --> 00:28:13,180
1447
+ divisor ุทู„ุน ูˆุงุญุฏ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู† ู‡ู…ุง ู…ุงููŠุด ุจูŠู†ู‡ู…
1448
+
1449
+ 363
1450
+ 00:28:13,180 --> 00:28:16,760
1451
+ ุนุงู„ู… ู…ุดุชุฑูƒ ู co-prime ู„ ุจุนุถู‡ู… ู…ุนู†ุงู‡ ุฐุงูƒ ุงู† ุงู„
1452
+
1453
+ 364
1454
+ 00:28:16,760 --> 00:28:21,100
1455
+ least common multiple ู‡ูˆ ูŠุณุงูˆูŠ ุถุฑุจู‡ู… ููŠ ุจุนุถ ูŠุณุงูˆูŠ
1456
+
1457
+ 365
1458
+ 00:28:21,100 --> 00:28:26,160
1459
+ ุถุฑุจู‡ู… ููŠ ุจุนุถ ูุจุทู„ุน ุงุฑุจุนูŠู† ุงู„ู ูˆ ุงุชู†ูŠู† ูˆ ุฎู…ุณูŠู† ู‡ุฐู‡
1460
+
1461
+ 366
1462
+ 00:28:26,160 --> 00:28:30,890
1463
+ ุงู„ุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ ุงุซุจุงุชู‡ุงุงุซุจุช ุงู† ูุนู„ุง a ููŠ b ู‡ูŠ ุจุชุณุงูˆูŠ
1464
+
1465
+ 367
1466
+ 00:28:30,890 --> 00:28:34,090
1467
+ greatest common divisor ุจูŠู†ู‡ู… ู…ุถุฑูˆุจ ููŠ least
1468
+
1469
+ 368
1470
+ 00:28:34,090 --> 00:28:37,950
1471
+ common multiple ุจูŠู†ู‡ู… ูƒูŠู ู†ู‚ุฏุฑ ู†ุนู…ู„ู‡ุง ุจุจุณุงุทุฉ ุฌุฏุง
1472
+
1473
+ 369
1474
+ 00:28:37,950 --> 00:28:47,050
1475
+ ู…ู† ุงู„ู‚ุงู†ูˆู† ุจุณูŠุท ุงู† ุงู†ุช ุนุงุฑู x ุฒุงุฆุฏ y ูุนู„ูŠุง ุจูŠุณุงูˆูŠ
1476
+
1477
+ 370
1478
+ 00:28:47,050 --> 00:28:54,150
1479
+ x ุฒุงุฆุฏ y ุจูŠุณุงูˆูŠ ุงู„ minimum ู…ุง ุจูŠู† x ูˆ y ุฒุงุฆุฏ ุงู„
1480
+
1481
+ 371
1482
+ 00:28:54,150 --> 00:29:01,230
1483
+ maximum ู…ุง ุจูŠู† x ูˆ yูŠุนู†ูŠ ุญุงุฌุฉ ุชุงูุฉ ุจุณ ุจุณูŠุทุฉ ุฌุฏุง
1484
+
1485
+ 372
1486
+ 00:29:01,230 --> 00:29:06,390
1487
+ ู…ุงููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง ุชุงูุฉ ููŠ ุงู„ุฑูŠุงุถูŠุงุช ู„ูƒู† ุจุณูŠุทุฉ ุฌุฏุง
1488
+
1489
+ 373
1490
+ 00:29:06,390 --> 00:29:12,310
1491
+ ุจู‚ุฏุฑ ุงุจู†ูŠ ุนู„ูŠู‡ุง ุงู„ุขู† ููŠ ุฌุฒุฆูŠุฉ ุงู„ primes ุงูˆ ุงู„
1492
+
1493
+ 374
1494
+ 00:29:12,310 --> 00:29:16,330
1495
+ prime factorization ุงู„ a ู‡ูŠ ุนุจุงุฑุฉ ุนู† prime ุฃูˆู„
1496
+
1497
+ 375
1498
+ 00:29:16,330 --> 00:29:20,350
1499
+ ุชุงู†ูŠ ุชุงู„ุช ุฎู…ุณ ู„ุนู†ุฏ n ุงู„ู„ูŠ ู…ุณู…ูˆุญ ููŠู‡ ูƒู„ู‡ to the
1500
+
1501
+ 376
1502
+ 00:29:20,350 --> 00:29:24,700
1503
+ powerุฌุฏูŠุด ุฃูˆ ุงู„ prime ู‡ุฐุง ู…ุชูƒุฑุฑ ุฌุฏูŠุด ููŠ ุงู„
1504
+
1505
+ 377
1506
+ 00:29:24,700 --> 00:29:28,880
1507
+ factorization ุชุจุนุชู†ุง ู„ a ูˆ ู„ b ุทูŠุจ ู„ู…ุง ูƒู†ุง ู†ู‚ูˆู„
1508
+
1509
+ 378
1510
+ 00:29:28,880 --> 00:29:31,400
1511
+ greatest common divisor ูƒู†ุง ู†ุงุฎุฏ ุงู„ minimum ุทุจุนุง
1512
+
1513
+ 379
1514
+ 00:29:31,400 --> 00:29:36,460
1515
+ ุทุจุนุง ู„ู…ุง ูƒู†ุง ู†ุงุฎุฏ ุงู„ ุงู„ cm ุงู„ maximum ุทูŠุจ ู„ู…ุง
1516
+
1517
+ 380
1518
+ 00:29:36,460 --> 00:29:40,980
1519
+ ุชุถุฑุจู‡ู… ููŠ ุจุนุถ ู‡ูŠ ุฃุตู„ู†ุง ู„ู†ูุณ ุงู„ูƒู„ุงู… minimum ุฒุงุฆุฏ
1520
+
1521
+ 381
1522
+ 00:29:40,980 --> 00:29:46,380
1523
+ maximum ู…ุนู†ุงู‡ ุชุจุทุน ู…ุฌู…ูˆุน ุงู„ุฃุชู†ูŠู† ู…ุฌู…ูˆุน a ูˆ b
1524
+
1525
+ 382
1526
+ 00:29:48,650 --> 00:29:52,450
1527
+ ูุจุจุณุงุทุฉ ู„ู…ุง ุฃุถุฑุจู‡ู… ููŠ ุจุนุถ ูƒุฃู†ูŠ ุจุฌู…ุน ุงู„ powers ู†ูุณ
1528
+
1529
+ 383
1530
+ 00:29:52,450 --> 00:29:57,170
1531
+ ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ุจุณูŠุทุฉ ุฌุฏุง ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู†ู‡ุง ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ a
1532
+
1533
+ 384
1534
+ 00:29:57,170 --> 00:30:02,510
1535
+ ุฒุงุฆุฏ b ุทูŠุจ ุชู…ุงู… ุฌุฏุง a ุฒุงุฆุฏ b ู‡ูŠู‡ุง ูŠุนู†ูŠ ูƒุฃู†ู‡ ุถุฑุจู‡ู…
1536
+
1537
+ 385
1538
+ 00:30:02,510 --> 00:30:11,490
1539
+ ููŠ ุจุนุถ ูƒุฃู†ู‡ ู‡ู„ูˆุฌุช ู†ุงุฎุฏ b ูˆ a ูˆุงุญุฏ ู„ุญุงู„ู‡ุง ูˆ b ุจูŠ
1540
+
1541
+ 386
1542
+ 00:30:11,490 --> 00:30:16,420
1543
+ ูˆุงุญุฏ ู„ุญุงู„ู‡ุงูƒุฃู†ู‡ ุจูŠุตูŠุฑูˆุง ู…ุถุฑุจูŠู† ููŠ ุจุนุถ ูˆ ู†ูุณ ุงู„ูƒู„ุงู…
1544
+
1545
+ 387
1546
+ 00:30:16,420 --> 00:30:21,760
1547
+ ู‡ู†ุง ูˆ ุฌู…ุน ุงู„ powers ุงู„ู…ุชุดุงุจู‡ุฉ ุนุดุงู† ุชุธู‡ุฑ ููŠ ุงู„ุขุฎุฑ
1548
+
1549
+ 388
1550
+ 00:30:21,760 --> 00:30:27,500
1551
+ ุฃู†ู‡ุง A ู…ุถุฑุจุฉ ููŠ B ุจุณูŠุทุฉ ุฌุฏุง ู…ุงูƒุงู†ุด ููŠู‡ุง ู…ุดูƒู„ุฉ ู‡ุฐู‡
1552
+
1553
+ 389
1554
+ 00:30:27,500 --> 00:30:33,200
1555
+ ุงู„ุฃุฎูŠุฑุฉ ู‡ุฐู‡ ุฃูˆ ุงู„ greatest common divisor win
1556
+
1557
+ 390
1558
+ 00:30:33,200 --> 00:30:38,280
1559
+ ุงู„ุฃุฎูŠุฑุฉ ู„ุฃ ู…ุด ู‡ุฐู‡ ูƒุงู†
1560
+
1561
+ 391
1562
+ 00:30:38,280 --> 00:30:45,180
1563
+ ู‡ู†ุง ููŠ ุนู†ุฏู†ุง ุงู‡ ู‡ู†ุง ู‡ู†ุง ุชู…ุงู… ุชู…ุงู…ู‡ู†ุง ุงู†ุช ูƒูŠู ุชุนุฑู
1564
+
1565
+ 392
1566
+ 00:30:45,180 --> 00:30:56,900
1567
+ ู‚ูŠู…ุฉ n ุงู„ู„ูŠ ุจุฏูƒ ุชุตู„ ุนู†ุฏู‡ุง ุฌุฐุฑ ุงู„ุนุฏุฏ ุฌุฐุฑ ุงู„ุนุฏุฏ ูุงู†ุช
1568
+
1569
+ 393
1570
+ 00:30:56,900 --> 00:31:03,200
1571
+ ู„ู…ุง ุชู‚ูˆู„ ุจุฏูŠ ุงูุชุฑุถ ู…ุซู„ุง ูƒู„ ุงู„primes ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
1572
+
1573
+ 394
1574
+ 00:31:03,200 --> 00:31:09,020
1575
+ ู„ู„ุนุฏุฏ a ุทูŠุจ ุงู†ุช ููŠ ุงู„ู†ู‡ุงูŠุฉ ู…ุด ู‡ุชุถู„ูƒ ู…ุงุดูŠ ุทูˆู„ ุนู…ุฑูƒ
1576
+
1577
+ 395
1578
+ 00:31:09,020 --> 00:31:12,400
1579
+ ูˆ ููŠ ู†ูุณ ุงู„ูˆุฌุฏ ู…ุด ู…ุนุฌูˆู„ุฉ ุจุฑุถู‡ ุชุถู„ูƒ ู…ุงุดูŠ ู„ู„ุนุฏุฏ ู†ูุณู‡
1580
+
1581
+ 396
1582
+ 00:31:13,390 --> 00:31:18,770
1583
+ ูู„ุฃ ุงู†ุช ุจุชุฑูˆุญ ู„ุฌุฐุฑ ุงู„ุนุฏุฏ ู„ู‚ูŠู…ุฉ
1584
+
1585
+ 397
1586
+ 00:31:18,770 --> 00:31:23,630
1587
+ ุฌุฐุฑ ุงู„ุนุฏุฏ ู„ูŠุดุŸ ู„ุฃู† ู‡ุฐุง ูุนู„ูŠุง ุญูŠูƒูˆู† ูƒุฃู†ูƒ ุงู†ุช ุจุชู‚ูˆู„
1588
+
1589
+ 398
1590
+ 00:31:23,630 --> 00:31:34,450
1591
+ ุฌุฐุฑ ุงู„ุนุฏุฏ ููŠ ู†ูุณู‡ ุฌุฐุฑ ุง ููŠ ุฌุฐุฑ ุง ุชู…ุงู…ุŸ ู…ุนู†ู‰ ุฐู„ูƒ ุงู†
1592
+
1593
+ 399
1594
+ 00:31:34,450 --> 00:31:41,870
1595
+ ุงู†ุช ู…ุง ู‚ุจู„ ุฐู„ูƒ ู‡ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู†ุฌุฐุฑ a ุฒุงุฆุฏ ู‚ูŠู…ุฉ ูˆู‡ู†ุง
1596
+
1597
+ 400
1598
+ 00:31:41,870 --> 00:31:51,990
1599
+ ู‡ุชูƒูˆู† ุฑู‚ู… ุฌุฐุฑ a ู†ุงู‚ุต ู‚ูŠู…ุฉ ู„ุฑู‚ู… ุณุงุจู‚ ู‡ู†ุง ูˆุงู„ู„ูŠ
1600
+
1601
+ 401
1602
+ 00:31:51,990 --> 00:31:55,590
1603
+ ุฌุงุจู„ู‡ ู†ูุณ ุงู„ูƒู„ุงู… ู„ุนู†ุฏ ู…ุง ุชุจุฏุฃ ุชุถุฑุจ ู…ู† ูˆุงุญุฏ ูˆุงุญุฏ
1604
+
1605
+ 402
1606
+ 00:31:55,590 --> 00:31:59,910
1607
+ ู‡ุชูƒูˆู† ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู†ุŸ ููŠ a ุงุชู†ูŠู† ู‡ุชูƒูˆู† ู…ุถุฑูˆุจุฉ ููŠ a
1608
+
1609
+ 403
1610
+ 00:31:59,910 --> 00:32:04,390
1611
+ ุนู„ู‰ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ุชูƒูˆู† ูƒุฃู†ูƒ ุจุชุถุฑุจ ููŠ a ุนู„ู‰ ุชู„ุงุชุฉ
1612
+
1613
+ 404
1614
+ 00:32:04,390 --> 00:32:08,170
1615
+ and so on ู…ุซู„ุง ู„ูˆ ุฃุฎุฏู†ุงู‡ู… ุฃุฑู‚ุงู… ุนุงุฏูŠุฉ ู‡ูŠูƒู„ูˆ ู†ุชูƒู„ู…
1616
+
1617
+ 405
1618
+ 00:32:08,170 --> 00:32:12,350
1619
+ ุนู„ู‰ ุฃุฑู‚ุงู… ุนุงุฏูŠุฉ ุทูŠุจ ุงู„ maximum ุนุดุงู† ููŠ ุงู„ู†ู‡ุงูŠุฉ
1620
+
1621
+ 406
1622
+ 00:32:12,350 --> 00:32:17,370
1623
+ ุถุงู„ุฉ ุถุฑุจ ุฒูŠ ู…ุง ู‡ูˆ ู‡ูŠูƒ ุถุฑุจูˆุง ููŠ ุจุนุถ a a a a ุฃู‚ุตู‰
1624
+
1625
+ 407
1626
+ 00:32:17,370 --> 00:32:24,590
1627
+ ุญุงุฌุฉ ุฃู† ูŠุตู„ูˆุง ู„ู‡ุฏ ุถุงู„ุฉ z ุนููˆุง ุงู„ุฌู„ ู„ุฌุฐุฑ a ูˆู‡ุฏ ุถุงู„ุฉ
1628
+
1629
+ 408
1630
+ 00:32:24,590 --> 00:32:31,390
1631
+ z ู„ุฌุฐุฑ a ุจุนุฏ ู‡ูŠูƒ ุจูŠุตูŠุฑ ุชูƒุฑุงุฑ ุจุณ ุนูƒุณูˆุง ุจุนุถ ุชูƒุฑุงุฑ
1632
+
1633
+ 409
1634
+ 00:32:31,390 --> 00:32:36,450
1635
+ ูˆุนูƒุณูˆุง ุจุนุถ ู‡ู†ุง ุจุชุตุจุญูŠุฑุฌุน ุฑุฌูˆุน ู„ู„ู‚ูŠู… ุงู„ู„ูŠ ูƒุงู†ุช ู‡ู†ุง
1636
+
1637
+ 410
1638
+ 00:32:36,450 --> 00:32:41,130
1639
+ ู„ุนู†ุฏ
1640
+
1641
+ 411
1642
+ 00:32:41,130 --> 00:32:45,190
1643
+ ุฌุฐุฑ ุงุชู†ูŠู† ุงุฐุง ู…ุงูƒุงู†ุด ู…ูˆุฌูˆุฏ ู…ุฌู…ูˆุนุฉ ุจุฑุงูŠู…ุฒ ู‡ู†ุง ู…ุด
1644
+
1645
+ 412
1646
+ 00:32:45,190 --> 00:32:48,790
1647
+ ู‡ุชุจูŠู† ุจุนุฏ ู‡ูŠูƒ ู…ุด ู‡ุชุจูŠู† ุจุนุฏ ู‡ูŠูƒ ุฃุณุงุณุง ู„ุฃู†ู‡ ู‡ุชุตูŠุฑ
1648
+
1649
+ 413
1650
+ 00:32:48,790 --> 00:32:52,070
1651
+ ุชูƒุฑุงุฑ ุงู†ุช ู‡ุชูƒูˆู† ุนูƒุณ ุชู‡ุฏูŠ ู…ุน ุญุฏ ู„ุนู†ุฏ ู…ุง ุชุตู„ ู„ู‚ูŠู…ุฉ
1652
+
1653
+ 414
1654
+ 00:32:52,070 --> 00:32:56,790
1655
+ ุงูŠู‡ ู„ุนู†ุฏ ู…ุง ุชุตู„ ู„ู‚ูŠู…ุฉ ุงูŠู‡ ุชู…ุงู… ูุจูƒู„ ุจุณุงุทุฉ ู…ู…ูƒู†
1656
+
1657
+ 415
1658
+ 00:32:56,790 --> 00:33:02,890
1659
+ ูŠุนู…ู„ ู…ู†ู‡ุง code ู‡ุฐุงู…ู…ูƒู† ูŠู†ุนู…ู„ ู…ู†ู‡ุง code ุจุฑู…ุฌูŠุŒ ุฅู†ูƒ
1660
+
1661
+ 416
1662
+ 00:33:02,890 --> 00:33:07,490
1663
+ ุฃู†ุช ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ุจุฏูŠ ุฃุฏูˆุฑ ุนู„ู‰ ุงู„ primes ุฃูˆ ุฃูุญุต
1664
+
1665
+ 417
1666
+ 00:33:07,490 --> 00:33:12,110
1667
+ ุงู„ุนุฏุฏุŒ ู‡ูˆ prime ูˆู„ุง ู„ุฃุŒ ู†ูุญุต ุงู„ุนุฏุฏ ู‡ู„ ู‡ูˆ prime ูˆู„ุง
1668
+
1669
+ 418
1670
+ 00:33:12,110 --> 00:33:16,830
1671
+ ู…ุด primeุชู…ุงู… ูู‡ุฐู‡ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู„ู‰ ูƒู†ุช ุจุฏู‰ ุฃุฌูŠุจู‡ุง ูˆ
1672
+
1673
+ 419
1674
+ 00:33:16,830 --> 00:33:20,510
1675
+ ุจุนุฏูŠู† ู‚ูˆู„ุช ู„ุฃ ุฎู„ูŠู‡ุง ู„ู…ุง ู†ุตู„ ู„ .. ู„ู…ูˆุถูˆุนู‡ุง ุนู„ู‰
1676
+
1677
+ 420
1678
+ 00:33:20,510 --> 00:33:24,970
1679
+ ุงุนุชุจุงุฑ ุฃู† ุงุญู†ุง ูƒุงู† ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุนุฏุฏ ุฃูƒุจุฑ
1680
+
1681
+ 421
1682
+ 00:33:24,970 --> 00:33:29,370
1683
+ ู…ู† ุงู„ุญุฒู‚ .. ุงู„ู…ุญุงุถุฑุงุช ู„ุฃ ุงุญู†ุง ุจุฏู†ุง ุนุดุงู† ู†ุนู…ู„ save
1684
+
1685
+ 422
1686
+ 00:33:29,370 --> 00:33:34,610
1687
+ ุฃุนุชู‚ุฏ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุฃุฎุฏู†ุงู‡ุง ู…ุงุนุฑูุด ููŠ .. ูƒุงู†ุช
1688
+
1689
+ 423
1690
+ 00:33:34,610 --> 00:33:40,430
1691
+ ู‡ู†ุง ูŠู…ูƒู† ุฅุฐุง ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ู„ุฃ ู‡ุฐุง ุญู„ู†ุงู‡ุง
1692
+
1693
+ 424
1694
+ 00:33:47,930 --> 00:33:51,050
1695
+ ุจุฑุถู‡ ู„ุฃ ู…ุงูƒู†ุชุด .. ูŠุนู†ูŠ ู‡ุฐุง ุงู„ .. ููŠ Bonacci ุจุชู‡ูŠุฃู„
1696
+
1697
+ 425
1698
+ 00:33:51,050 --> 00:33:56,810
1699
+ ุงู†ุชูˆุง ู…ู† ุงู„ุณู‡ู„ ุชุนู…ู„ูˆู„ู‡ code ู…ุด ู‡ูŠูƒุŸ ู…ู† ุงู„ุณู‡ู„
1700
+
1701
+ 426
1702
+ 00:33:56,810 --> 00:34:01,330
1703
+ ุชุนู…ู„ูˆุง codeุŸ ู„ุฃ ููŠ Bonacci ู…ุด
1704
+
1705
+ 427
1706
+ 00:34:01,330 --> 00:34:08,690
1707
+ ูุงูƒุฑ ูˆุงู„ู„ู‡ ูˆูŠู† ุญุทู†ุงู‡ุงุŸ ุงุนุชู‚ุฏ ู‡ู†ุง .. ู„ุฃ ุจู‚ู‰ ู‡ุฐุง
1708
+
1709
+ 428
1710
+ 00:34:08,690 --> 00:34:11,730
1711
+ ู…ูˆุถูˆุน ุชุงู†ูŠ ูƒู…ุงู† ุงู„ู…ูุฑูˆุถ ุงู† ู†ุดูˆู .. ู†ุนู…ู„ู‡ ุญู„ ุงู„
1712
+
1713
+ 429
1714
+ 00:34:11,730 --> 00:34:15,700
1715
+ countingุงู„ counting ููŠู‡ ู…ุฌู…ูˆุนุฉ ุฃุณุฆู„ุฉ ูƒูˆูŠุณุฉ ูˆ ุจุชูŠุฌูŠ
1716
+
1717
+ 430
1718
+ 00:34:15,700 --> 00:34:18,140
1719
+ ููŠ ุงู…ุชุญุงู†ุงุช ุงู„ุญู‚ูŠู‚ุฉ ูู‡ุฐู‡ ู„ู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุงู† ุดุงุก ุงู„ู„ู‡
1720
+
1721
+ 431
1722
+ 00:34:18,140 --> 00:34:23,860
1723
+ ุชุนุงู„ู‰ ุจู†ุฌู‡ุฒ counting ู…ุนุธู… ุงู„ุฃููƒุงุฑ ุงู„ู„ูŠ ู…ู…ูƒู† ุชูŠุฌูŠ
1724
+
1725
+ 432
1726
+ 00:34:23,860 --> 00:34:28,440
1727
+ ุนู„ู‰ ุฌุฒุฆูŠุฉ ุงู„ counting ุงุนุชู‚ุฏ ู‡ู†ุง ูˆ ู‡ุฐุง ุจุฑุถู‡ ุงู„ู„ู‡ ..
1728
+
1729
+ 433
1730
+ 00:34:28,440 --> 00:34:30,580
1731
+ ู‡ุฐุง ุงู†ุชูˆุง ุจุชู‡ูŠุฃู„ูŠ ู…ุงุนู†ุฏูƒู… ู…ุด ู…ุดูƒู„ุฉ ููŠู‡ุง ู…ุงุธู†ุด
1732
+
1733
+ 434
1734
+ 00:34:30,580 --> 00:34:35,550
1735
+ ูŠุชุบู„ุจูƒูˆุง .. ูŠู…ูƒู†ูƒูˆุง ุงู†ูƒูˆุง ุชุญู„ูˆุง ู…ุนุงุฏู„ุฉุถู…ู† ุงู„
1736
+
1737
+ 435
1738
+ 00:34:35,550 --> 00:34:38,910
1739
+ modulus ุงู„ู„ูŠ ู‡ูŠ ุงู„ููƒุฑุฉ ูƒู„ู‡ุง ุจุงู„ inverse ูุนู„ูŠุง
1740
+
1741
+ 436
1742
+ 00:34:38,910 --> 00:34:43,110
1743
+ ุงู„ููƒุฑุฉ ูƒู„ู‡ุง ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ inverse ุชู…ุงู… ู„ุฃ ุจุฑุถู‡
1744
+
1745
+ 437
1746
+ 00:34:43,110 --> 00:34:49,470
1747
+ ู…ุงูˆุตู„ุชุด ู„ .. ุงู„ู„ูŠ ูƒู†ุง ุจุฏู†ุง .. ุจุฏู†ุง ูŠุง .. ุงู„ู„ูŠ ูƒู†ุง
1748
+
1749
+ 438
1750
+ 00:34:49,470 --> 00:34:57,420
1751
+ ู†ุญูƒูŠ ุนู†ู‡ ู‡ูŠูˆ .. ู‡ู†ุง ู„ู…ุง ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ุจุฏู†ุง ู†ูุญุตุงู„
1752
+
1753
+ 439
1754
+ 00:34:57,420 --> 00:35:04,720
1755
+ code ุงูˆ ุงู„ุฑู‚ู… ู‡ู„ ู‡ูˆ prime ุงูˆ ู…ุด prime ู†ู‚ูˆู„ ุจุฏู†ุง
1756
+
1757
+ 440
1758
+ 00:35:04,720 --> 00:35:08,960
1759
+ ู†ูุญุต ุฑู‚ู… ู‡ูˆ prime ูˆู„ุง ู…ุด prime ุจุจุณุงุทุฉ ุฌุฏุง ู„ุงุญุธ ุงู†ูƒ
1760
+
1761
+ 441
1762
+ 00:35:08,960 --> 00:35:12,480
1763
+ ุงู†ุช ุจุชุญุท ุงุณู…ู‡ ู…ุงููŠุด ู…ุดูƒู„ุฉ ูˆุจุชุนุจู‰ ุจุชุญุท n ูˆ ุงู„ n ู‡ุฏุง
1764
+
1765
+ 442
1766
+ 00:35:12,480 --> 00:35:17,380
1767
+ integer ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ุจุฏูˆู† ุงูŠ ู…ุดุงูƒู„ ุนุดุงู† ุชู‚ูˆู„ ูˆุงู„ู„ู‡
1768
+
1769
+ 443
1770
+ 00:35:17,380 --> 00:35:22,060
1771
+ ู…ุจุฏุฆูŠุง is prime true ุจุฏูƒ ุชูุณุฑ ุงู† ู‡ูˆ prime ุงู„ู‰ ุงู†
1772
+
1773
+ 444
1774
+ 00:35:22,060 --> 00:35:26,430
1775
+ ูŠุซุจุช ุงู„ุนูƒุณุฅู„ู‰ ุฃู† ูŠุซุจุช ุงู„ุนูƒุณุฉ ูˆุชุจุฏุฃ ุจ D ู…ู† ุงุชู†ูŠู†
1776
+
1777
+ 445
1778
+ 00:35:26,430 --> 00:35:32,350
1779
+ ู„ุฃู†ู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ ุงู„ุฃู† ุงู„ while ู‡ูŠ ู‡ุฐู‡ ุงู„ู…ู‡ู…ุฉ ุงู„ู„ูŠ
1780
+
1781
+ 446
1782
+ 00:35:32,350 --> 00:35:38,590
1783
+ ูƒู†ุง ุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุงู„ while ุงู„ุงู† ู„ is primeุทูˆู„ ู…ุง is
1784
+
1785
+ 447
1786
+ 00:35:38,590 --> 00:35:42,930
1787
+ a prime ูˆ ุณูƒุชุŒ ุฅูŠุด ูŠุนู†ูŠ is a prime ูˆ ุณูƒุชุŸ ุงู„ trueุŒ
1788
+
1789
+ 448
1790
+ 00:35:42,930 --> 00:35:46,790
1791
+ ู…ุนู†ุงู‡ ุฃู†ู‡ุง ุงู„ trueุŒ ูุฅุฐุง is a prime ุงู„ trueุŒ ู‡ูˆ
1792
+
1793
+ 449
1794
+ 00:35:46,790 --> 00:35:51,050
1795
+ ุงุญู†ุง ูุนู„ุง ุจุฏู†ุงู‡ุง trueุŒ ุนุณุงุณ ูŠุธู„ ุงู„ condition ุตุญูŠุญุŒ
1796
+
1797
+ 450
1798
+ 00:35:51,050 --> 00:35:57,140
1799
+ and ุฏูŠ ุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ gather inู root n ู„ุฃู† ุฃู†ุง
1800
+
1801
+ 451
1802
+ 00:35:57,140 --> 00:36:00,380
1803
+ ุถุงู…ู† ุฃู†ู‡ ู„ุนู†ุฏู‡ root n ุฃู†ุง ุจูƒูˆู† ูุญุตุช ูƒู„ ุงู„
1804
+
1805
+ 452
1806
+ 00:36:00,380 --> 00:36:05,020
1807
+ possibility ุงู„ู…ู…ูƒู†ุฉ ู„ู„ุฑู‚ู… ุงู„ prime ูˆู„ุง ู…ุด ุงู„ prime
1808
+
1809
+ 453
1810
+ 00:36:05,020 --> 00:36:08,360
1811
+ ู„ูˆ ุงู„ prime ูƒุงู† ุจูŠุจูŠู† ูŠุนู†ูŠ ุจูŠุจูŠู† ุนู„ู‰ ุทูˆู„ ูˆู‡ู†ุง
1812
+
1813
+ 454
1814
+ 00:36:08,360 --> 00:36:15,890
1815
+ ู‡ูุชุฑุถ ุจุนุฏูŠู† ุฅุฐุง ูƒุงู†ุช n ู‡ุงุฏูŠู‡ูŠ modulo D ุงู„ุฑู‚ู… ุงู„ู„ูŠ
1816
+
1817
+ 455
1818
+ 00:36:15,890 --> 00:36:20,850
1819
+ ุงู†ุง ู…ุคู‚ุชุง ุจุจุฏุฃ ุนู†ุฏู‡ ุจุงุฎุฏ ุงุชู†ูŠู† ุซู… ุชู„ุงุชุฉ ุซู… ุงุฑุจุน ุซู…
1820
+
1821
+ 456
1822
+ 00:36:20,850 --> 00:36:25,930
1823
+ ุฎู…ุณุฉ ุซู… ุณุชุฉ and so on ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุญูŠุซ ุงู†ู‡ ู†ูุญุตู‡
1824
+
1825
+ 457
1826
+ 00:36:25,930 --> 00:36:31,810
1827
+ ุงู„ุงู† ุงุฐุง ูƒุงู† ูˆุงู„ู„ู‡ ุงู„ modulo operation ุทู„ุนุช ุตูุฑ
1828
+
1829
+ 458
1830
+ 00:36:31,810 --> 00:36:38,990
1831
+ ูุฅุฐุง ุนู„ู‰ ุทูˆู„ false ู„ูŠุด ุตูุฑุŸ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ู…ู†
1832
+
1833
+ 459
1834
+ 00:36:38,990 --> 00:36:42,930
1835
+ ู…ุถุงุนูุงุช ุงู„ DูŠุนู†ูŠ ู…ุนู†ู‰ ุฐู„ูƒ ุฅู† ุงู†ู‡ุง ุฏุง ู„ุง ูŠู…ูƒู† ูŠูƒูˆู†
1836
+
1837
+ 460
1838
+ 00:36:42,930 --> 00:36:50,330
1839
+ ุงู„ู€ prime ู‡ู†ุง ุนุดุงู† ูŠุทู„ุน ุตูุฑ ุงู„ lamda ุฏูŠ ู…ุนู†ุงุชู‡ ุฏูŠ
1840
+
1841
+ 461
1842
+ 00:36:50,330 --> 00:36:54,050
1843
+ ูˆุงุญุฏุฉ ู…ู† ู…ุดุชู‚ุงุช ุงู„ุงู† ูŠุนู†ูŠ ุงู† ู…ู† ู…ุถุนูุชู‡ุง ู…ุนู†ุงุชู‡ ุงู†
1844
+
1845
+ 462
1846
+ 00:36:54,050 --> 00:36:58,490
1847
+ ู‚ุงุจู„ ุงู„ู‚ุณู… ุนู„ู‰ ุฏูŠ ููŠ prime ุจูŠู‚ุจู„ ุงู„ู‚ุณู… ุนู„ูŠุง ุฑู‚ู…
1848
+
1849
+ 463
1850
+ 00:36:58,490 --> 00:37:02,750
1851
+ ุชุงู†ูŠุŸ ู…ุงุชุด ูุฅุฐุง ุนู„ู‰ ุทูˆู„ ุฅุฐุง ู‚ุงุจู„ ุงู„ู‚ุณู… ุจุญุท false
1852
+
1853
+ 464
1854
+ 00:37:03,730 --> 00:37:08,090
1855
+ otherwise ุงูˆ else ุจุญุทู‡ ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ุจู†ุจุฏุฃ ู†ุฑุฌุน ูƒู…ุงู†
1856
+
1857
+ 465
1858
+ 00:37:08,090 --> 00:37:16,230
1859
+ ู…ุฑุฉ ุจุฒูˆุฏู‡ ูˆุงุญุฏ ู„ุนู†ุฏ ุฌุฐุฑ ุงู† ู„ุฃู† ููŠ ุงู„ุขุฎุฑ ุฌุฐุฑ ุงู†
1860
+
1861
+ 466
1862
+ 00:37:16,230 --> 00:37:20,010
1863
+ maximum ุฃู†ู‡ ุจุฏู‡ ูŠูƒูˆู† ุงูุชุฑุถ ุจุฏู‡ ูŠู‚ุจู„ ุงู„ู‚ุณู… ุนู„ู‰ ุฌุฐุฑ
1864
+
1865
+ 467
1866
+ 00:37:20,010 --> 00:37:25,150
1867
+ ุงู† ุทูŠุจ ุงูŠุด ุงู„ู…ุถุงุนูุงุช ุฌุฐุฑ ุงู† ุจุงู„ู†ุณุจุฉ ู„ุงู†ุŸ ู‡ูŠ ู†ูุณ
1868
+
1869
+ 468
1870
+ 00:37:25,150 --> 00:37:31,220
1871
+ ุฌุฐุฑ ุงู†ู‡ูŠ ู†ูุณ ุฌุฐุฑ N ูู‡ุชู„ุงู‚ูŠ ุฃู†ู‡ ุฑู‚ู…ูŠู† ู…ุถุฑุจูŠู† ููŠ ุจุนุถ
1872
+
1873
+ 469
1874
+ 00:37:31,220 --> 00:37:34,820
1875
+ ุฅุฐุง ุจูŠุทู„ุนูˆุง ู‚ูŠู…ุฉ ุงู„ N ู…ุนู†ุงุชู‡ N ุบูŠุฑ .. ู„ูŠุณุช ุงู„
1876
+
1877
+ 470
1878
+ 00:37:34,820 --> 00:37:38,880
1879
+ prime ุทูŠุจ ุงู„ุฑู‚ู…ูŠู† ู‡ุฏูˆู„ ู„ุง ูŠู…ูƒู† ุงู„ุฅุชู†ูŠู† ู…ุน ุจุนุถ
1880
+
1881
+ 471
1882
+ 00:37:38,880 --> 00:37:42,340
1883
+ ูŠูƒูˆู†ูˆุง ุฃูƒุจุฑ ู…ู† ุฌุฐุฑ N ู„ุงุฒู… ูˆุงุญุฏ ู…ู†ู‡ู… ุฃู‚ู„ ู…ู† ุฌุฐุฑ N
1884
+
1885
+ 472
1886
+ 00:37:43,360 --> 00:37:46,740
1887
+ ุตุญุŸ ุฃูƒูŠุฏ ูˆุงุญุฏ ู…ู†ู‡ู… ู„ุงุฒู… ูŠูƒูˆู† ุฃู‚ู„ ู…ู† ุฌุฐุฑ in ูˆู‡ุฐุง
1888
+
1889
+ 473
1890
+ 00:37:46,740 --> 00:37:49,720
1891
+ ู…ุนู†ุงู‡ ุฃู†ู‡ ูŠูƒููŠ ุฃู†ูŠ ุฃุญุตู„ ุนู„ู‰ ูˆุงุญุฏ ู…ู†ู‡ู… ุนุดุงู† ๏ฟฝ๏ฟฝู†ููŠ
1892
+
1893
+ 474
1894
+ 00:37:49,720 --> 00:37:54,560
1895
+ ุฃู†ู‡ in prime ู‡ุงูŠ ูƒุงู†ุช ุงู„ููƒุฑุฉุŒ ู‡ุฐู‡ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ
1896
+
1897
+ 475
1898
+ 00:37:54,560 --> 00:37:58,980
1899
+ ุจู†ุชูƒู„ู… ุนู†ู‡ุง ูุจุฑุฌุนู„ู†ุง ุจ is prime ูŠุง ุฅู…ุง ุจูƒูˆู† ุณุชู†ูุฐ
1900
+
1901
+ 476
1902
+ 00:37:58,980 --> 00:38:03,320
1903
+ ุงู„ุดุฑุท ุงู„ุชุงู†ูŠ ุฃู†ู‡ ูุนู„ุง ุตุงุฑ ุฃูƒุชุฑ ู…ู† ุฌุฐุฑ ุงุชู†ูŠู† ูู…ุนู†ู‰
1904
+
1905
+ 477
1906
+ 00:38:03,320 --> 00:38:09,100
1907
+ ุฐู„ูƒ ู‡ุฐูŠ ุจุชุฌูŠู†ูŠ trueุฃูˆ ุงุชุบูŠุฑุช ูˆุทู„ุน ุจุฑุง ุงู„ loop ู„ุฃู†
1908
+
1909
+ 478
1910
+ 00:38:09,100 --> 00:38:12,720
1911
+ ู‡ุฐู‡ ุตุงุฑุช false ูˆุจุฑุฌุน ู„ู‚ูŠู…ุฉ ุงู„ force .. ู‚ูŠู…ุฉ force
1912
+
1913
+ 479
1914
+ 00:38:12,720 --> 00:38:17,960
1915
+ .. ุชู…ุงู…ุŸ ู‡ุฐู‡ ุงุญู†ุง ุฌุจู†ุงู‡ุง ุฏูˆ ู‚ุจู„ ุดูˆูŠุฉ ุญู„ู†ุงู‡ุง ..
1916
+
1917
+ 480
1918
+ 00:38:17,960 --> 00:38:23,920
1919
+ ุชู…ุงู…ุŸ ุนู„ู‰ ุจุฑูƒุฉ ุงู„ู„ู‡ ุทูŠุจ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ูุฅุฐุง ุงุญู†ุง
1920
+
1921
+ 481
1922
+ 00:38:23,920 --> 00:38:27,710
1923
+ ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุงู„ุณุจุชููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡
1924
+
1925
+ 482
1926
+ 00:38:27,710 --> 00:38:33,170
1927
+ ุจู†ุชูƒู„ู… ุนู† ุงู„ุณุจุชุŒ ูŠูˆู… ุงู„ุณุจุช ุจู†ุญุงูˆู„ ุฃุฌู‡ุฒู„ูƒู… ุฅูŠุด
1928
+
1929
+ 483
1930
+ 00:38:33,170 --> 00:38:36,290
1931
+ ุฃุฌู‡ุฒู„ูƒู…ุŸ ุฃุฌู‡ุฒ ุงู„ countingุŒ ู…ุงู…ุฑู†ุงุด ุนู„ู‰ ุงู„ counting
1932
+
1933
+ 484
1934
+ 00:38:36,290 --> 00:38:40,490
1935
+ ู„ุณู‡ุŒ ุงู„ counting ููŠู‡ ุฃููƒุงุฑ ูƒุชูŠุฑุฉุŒ ูุจู†ุญู„ู„ู†ุง ู…ุฌู…ูˆุนุฉ
1936
+
1937
+ 485
1938
+ 00:38:40,490 --> 00:38:42,910
1939
+ ุฃุณุฆู„ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุนู„ู‰ ุงู„ counting ูˆ ุจู†ุดูˆููƒู…
1940
+
1941
+ 486
1942
+ 00:38:42,910 --> 00:38:44,350
1943
+ ุงู„ู„ูŠ ูŠูˆู… ุงู„ุณุจุช ุงู† ุดุงุก ุงู„ู„ู‡ุŒ ุฃุนุทูŠูƒู… ุงู„ู„ู‡ ุนููˆ ูˆุจุฑูƒุฉ
1944
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/C8MOQNis1HI_postprocess.srt ADDED
@@ -0,0 +1,2740 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,090 --> 00:00:08,950
3
+ ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ ูŠุง ุดุจุงุจ ุทุจุนุง ุงุญู†ุง ุฎู„ุตู†ุง ุงู„ู…ู†ู‡ุฌ ู„ูƒู†
4
+
5
+ 2
6
+ 00:00:08,950 --> 00:00:13,190
7
+ ู…ูƒู…ู„ูŠู† ู…ุน ุจุนุถ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ููŠ ุญู„ ุงู„ุฃุณุฆู„ุฉ ูƒู†ูˆุน
8
+
9
+ 3
10
+ 00:00:13,190 --> 00:00:17,530
11
+ ู…ู† ุฃู†ูˆุงุน ุงู„ู…ุฑุงุฌุนุฉ ู„ุงู„ู…ุซุงู‚ ูˆ ุจู†ุงุก ุนู„ู‰ ุทู„ุจูƒู… ุงู„ูŠูˆู…
12
+
13
+ 4
14
+ 00:00:17,530 --> 00:00:19,490
15
+ ู…ุงุจุฏู†ุงุด ู†ุดุชุบู„ ููŠ ุงู„ inductive ู…ุด ู‡ูŠูƒ ููŠ ุงู„
16
+
17
+ 5
18
+ 00:00:19,490 --> 00:00:24,030
19
+ inductive proof ูู…ุฌุงู‡ุฒูƒูˆุง ุดูˆูŠุฉ ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ
20
+
21
+ 6
22
+ 00:00:24,030 --> 00:00:27,430
23
+ ุจุฑุถู‡ ุจู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุฉ ุงู„ proving ุจุณ
24
+
25
+ 7
26
+ 00:00:27,430 --> 00:00:31,470
27
+ ุจุงุณุชุฎุฏุงู… ุงู„ mathematical inductive ุงูˆ ู…ู† ู…ูˆุถูˆุน ุงู„
28
+
29
+ 8
30
+ 00:00:31,470 --> 00:00:36,390
31
+ induction ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ูˆ ุงุชูƒู„ู…ู†ุง ููŠู‡ูู†ุจุฏุฃ ุนู„ู‰ ุทูˆู„ ูˆ
32
+
33
+ 9
34
+ 00:00:36,390 --> 00:00:40,010
35
+ ู†ุดูˆู ูˆุงุญุฏุฉ ู…ู† ุฃู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ูƒุงู†ุช ุฌุงูŠุฉ ููŠ ุงู…ุชุญุงู†
36
+
37
+ 10
38
+ 00:00:40,010 --> 00:00:43,690
39
+ ุณุงุจู‚ ู…ุนุธู…ู‡ู… ุงู…ุชุญุงู†ุงุช ุณุงุจู‚ุฉ ูŠุนู†ูŠ ุงู„ุฃุณุฆู„ุฉ ูƒู„ู‡ุง
40
+
41
+ 11
42
+ 00:00:43,690 --> 00:00:47,670
43
+ ุงุดุชู‡ุฏู†ุง ุฃู†ู‡ ู†ุฏูˆุฑ ุนู„ู‰ ูƒู„ ุงู…ุชุญุงู†ุงุชู†ุง ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ
44
+
45
+ 12
46
+ 00:00:47,670 --> 00:00:50,950
47
+ ูƒู†ุง ุจู†ุนู…ู„ู‡ุง ููŠ ุงู„ุณู†ูˆุงุช ุงู„ู…ุงุถูŠุฉ ูˆ ุฃุดูˆู ุฅูŠุด ุงู„ุฃุณุฆู„ุฉ
48
+
49
+ 13
50
+ 00:00:50,950 --> 00:00:53,430
51
+ ุงู„ู„ูŠ ูƒุงู†ุช ุฅู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ mathematical induction
52
+
53
+ 14
54
+ 00:00:53,430 --> 00:00:57,830
55
+ ุจุญูŠุซ ุฃู†ู‡ ู†ุฌูŠุจู‡ุง ูˆ ุทุจุนุง ุฃุฌูˆุฏ ุญู„ู‡ุง ูˆ ุฃุตูˆุฑู„ูƒู… ุฅูŠุงู‡ุง
56
+
57
+ 15
58
+ 00:00:57,830 --> 00:01:00,170
59
+ ุนุดุงู† ู†ุนู…ู„ูƒู… ุฅูŠุงู‡ุง powerpoint ูˆ ู†ุฒู„ูƒู… ุฅูŠุงู‡ุง ุฅู† ุดุงุก
60
+
61
+ 16
62
+ 00:01:00,170 --> 00:01:03,520
63
+ ุงู„ู„ู‡ ุนู„ู‰ ุงู„ modelุน ุงู„ู…ูˆุฏูŠู„ ู‡ุชูƒูˆู† ูƒู„ู‡ุง ู…ู†ุงุฒู„ุฉ ูˆ ููŠ
64
+
65
+ 17
66
+ 00:01:03,520 --> 00:01:07,400
67
+ ู†ูุณ ุงู„ูˆู‚ุช ู‡ูŠ ูƒู…ุญุงุถุฑุฉ ู…ุตูˆุฑุฉ ู…ูˆุฌูˆุฏุฉ ู‡ุชูƒูˆู† ู…ุน ุจุงู‚ูŠ
68
+
69
+ 18
70
+ 00:01:07,400 --> 00:01:11,760
71
+ ุณู„ุณู„ุฉ ุงู„ู…ุญุงุถุฑุงุช ู†ุดูˆู ุงู„ุณุคุงู„ ุฅูŠุด ูƒุงู† ุจุชูƒู„ู…ุŸ ุจุชูƒู„ู…
72
+
73
+ 19
74
+ 00:01:11,760 --> 00:01:14,720
75
+ ุนู† ุงู„ mathematical induction to prove that 21
76
+
77
+ 20
78
+ 00:01:14,720 --> 00:01:20,940
79
+ divides 4 to the power n plus 1 ูƒู„ู‡ plus 5 to the
80
+
81
+ 21
82
+ 00:01:20,940 --> 00:01:26,520
83
+ power 2n minus 1 ูˆ whenever n is positive integer
84
+
85
+ 22
86
+ 00:01:26,520 --> 00:01:31,620
87
+ ูู„ูˆ ูƒุงู†ุช ุงู„ n ู‡ุฐู‡ positive integer ุจู…ุนู†ู‰in ููŠ
88
+
89
+ 23
90
+ 00:01:31,620 --> 00:01:37,460
91
+ ุงู„ู†ู‡ุงูŠุฉ in ุฃูƒุจุฑ ู…ู† zero positive integer ูƒูˆูŠุณ
92
+
93
+ 24
94
+ 00:01:37,460 --> 00:01:43,640
95
+ ูุจุฏู†ุง ู†ูˆุถุญ ุงู† ูˆุงุญุฏ ูˆุนุดุฑูŠู† ู‡ูŠ divides ู„ุฃุฑุจุนุฉ to the
96
+
97
+ 25
98
+ 00:01:43,640 --> 00:01:48,440
99
+ power in ุฒุงุฆุฏ ูˆุงุญุฏ plus ุฎู…ุณุฉ to the power ุงุชู†ูŠู† in
100
+
101
+ 26
102
+ 00:01:48,440 --> 00:01:55,140
103
+ ู†ุงู‚ุต ูˆุงุญุฏ ุจุงุณุชุฎุฏุงู… ุงู„ inductive step ุทูŠุจ ุงู„ุฎุทูˆุฉ
104
+
105
+ 27
106
+ 00:01:55,140 --> 00:01:59,960
107
+ ุงู„ุฃูˆู„ู‰ ุงู„ business step ููŠู‡ุง ู…ุดูƒู„ุฉ ู‡ู†ุจุฏุฃ ุจู…ูŠู†ุŸ
108
+
109
+ 28
110
+ 00:02:00,500 --> 00:02:05,240
111
+ ุจุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ ุฃูˆู„ positive integer ูู‡ู†ุจุฏุฃ
112
+
113
+ 29
114
+ 00:02:05,240 --> 00:02:10,160
115
+ ุจุงู„ุฃูˆู„ู‰ ุงู„ู„ู‰ ู‡ูˆ ุงู„ business ุชุจู‚ู‰ the first number
116
+
117
+ 30
118
+ 00:02:10,160 --> 00:02:15,780
119
+ for n ุงู„ู„ู‰ ู‡ูˆ ุนู†ุฏ ุงู„ูˆุงุญุฏ ูุจูƒู„ ุจุณุงุทุฉ ุนู†ุฏ ุงู„ูˆุงุญุฏ ุนูˆุถ
120
+
121
+ 31
122
+ 00:02:15,780 --> 00:02:19,060
123
+ ู‡ู†ุง ุจุงู„ูˆุงุญุฏ ูˆุนูˆุถ ู‡ู†ุง ุจุงู„ูˆุงุญุฏ ูˆุงู†ุชู‡ุช ุงู„ุฌุซุฉ ุดูˆูู‡ุง
124
+
125
+ 32
126
+ 00:02:19,060 --> 00:02:23,020
127
+ ูุนู„ุง ุญู‚ู‚ุช ุฃูˆู„ ุฎุทูˆุฉ ูˆู„ุง ู…ุงุญู‚ู‚ุชุงุด ุฃูˆู„ ุฎุทูˆุฉ ูู‡ู†ุฌุฏ
128
+
129
+ 33
130
+ 00:02:23,020 --> 00:02:27,440
131
+ ุฃุฑุจุนุฉ to the power ุงุชู†ูŠู† plus ุฎู…ุณุฉ to the power
132
+
133
+ 34
134
+ 00:02:27,440 --> 00:02:31,640
135
+ ูˆุงุญุฏูƒูˆูŠุณ ุงู„ู„ูŠ ู‡ูˆ ุงุชู†ูŠู† ู†ุงู‚ุต ูˆุงุญุฏ ูุจุชุถู„ ูˆุงุญุฏ ุจูŠุณูˆูŠ
136
+
137
+ 35
138
+ 00:02:31,640 --> 00:02:34,180
139
+ ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† ููˆุงุญุฏ ูˆ ุนุดุฑูŠู† divided ูˆุงุญุฏ ูˆ ุนุดุฑูŠู†
140
+
141
+ 36
142
+ 00:02:34,180 --> 00:02:38,480
143
+ ุงูƒูŠุฏ ุงูƒูŠุฏ divided ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† ูˆ ุงู„ู†ุงุชุฌ ูˆุงุญุฏ ูƒูˆูŠุณ
144
+
145
+ 37
146
+ 00:02:38,480 --> 00:02:45,280
147
+ ูู‡ูŠ ุงูˆู„ ุงูˆู„ ุฌุฒุฆูŠุฉ ูˆุงุถุญุฉ ุฌุฏุง ู‡ุชูƒูˆู† ุนู†ุฏู†ุง ูู‡ู†ุง ุฎู„ุตู†ุง
148
+
149
+ 38
150
+ 00:02:45,280 --> 00:02:50,700
151
+ ุงู„ bases step ู„ุงู† ุงู„ inductive step rule ูˆุงุถุญ ูˆ
152
+
153
+ 39
154
+ 00:02:50,700 --> 00:02:56,800
155
+ ู…ุงููŠุด ููŠู‡ุง ูƒุชูŠุฑ ู…ุดุงูƒู„ ุจุฏู†ุง assume that ุงู†ู‡ add in
156
+
157
+ 40
158
+ 00:02:56,800 --> 00:03:02,770
159
+ is trueูˆู…ู†ู‡ุง ู†ุญุงูˆู„ ู†ุฌูŠุจ at n plus ูˆุงุญุฏ ุจุจุณุงุทุฉ ุฌุฏุง
160
+
161
+ 41
162
+ 00:03:02,770 --> 00:03:06,030
163
+ ูŠุนู†ูŠ ุงู„ุฎุทูˆุฉ ุงู„ุณู‡ู„ุฉ ูˆุงู„ุจุณูŠุทุฉ ูุงู„ inductive step ุจูƒู„
164
+
165
+ 42
166
+ 00:03:06,030 --> 00:03:10,550
167
+ ุจุณุงุทุฉ ุจุฏู†ุง ู†ุซุจุช k ุฒุงุฆุฏ ูˆุงุญุฏ is true ุฅุฐุง ูƒุงู†ุช at k
168
+
169
+ 43
170
+ 00:03:10,550 --> 00:03:14,430
171
+ is true ูุจูƒู„ ุจุณุงุทุฉ ุฎู„ุงุต ุจู†ุนูˆุฏ ุนู†ุฏ k ุฒุงุฆุฏ ูˆุงุญุฏ
172
+
173
+ 44
174
+ 00:03:16,660 --> 00:03:19,960
175
+ ูˆุจุญุงูˆู„ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ strategy ุงู„ู„ูŠ ุงู†ุช ู‡ุชุดุชุบู„ูˆู‡ุง ุนู„ู‰
176
+
177
+ 45
178
+ 00:03:19,960 --> 00:03:23,420
179
+ ุทูˆู„ ุจุญุท k ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุจุฏูŠ ุฃุนู…ู„ู‡ุง
180
+
181
+ 46
182
+ 00:03:23,420 --> 00:03:27,020
183
+ ุฃุซุจุงุช ู‡ุฐู‡ ูˆุจุนุฏูŠู† ุจุญุงูˆู„ ุฃู„ุนุจ ููŠ ุงู„ู…ูˆุถูˆุน ุฃุนู…ู„ ุดูˆูŠุฉ
184
+
185
+ 47
186
+ 00:03:27,020 --> 00:03:31,920
187
+ ุงู„ manipulation ุงู„ุถุฑูˆุฑูŠุฉ ุฑูŠุงุถูŠุง ุจุญูŠุซ ุฃู†ูŠ ุฃุทู„ุน ู…ู†ู‡ุง
188
+
189
+ 48
190
+ 00:03:31,920 --> 00:03:38,680
191
+ add n ุชู…ุงู… ูู†ุดูˆู ู‡ู„ ูˆุฌุฏุช ู‡ุฐูŠ ู‡ูŠ ุงู„ total ู‡ูŠ ู‡ุชุณุงูˆูŠ
192
+
193
+ 49
194
+ 00:03:38,680 --> 00:03:43,600
195
+ k ุฒุงุฆุฏ ุงุชู†ูŠู†ูˆู‡ู†ุง ุงุชู†ูŠู† K ุฒุงุฆุฏ ูˆุงุญุฏ ุทุจุนุง ุจุนุฏ ู…ุง
196
+
197
+ 50
198
+ 00:03:43,600 --> 00:03:49,620
199
+ ุงู†ุนูˆุถ ุจุฏู„ K ุชุตุจุญ ู…ูŠู†ุŸ ุทูŠุจุŒ ู„ุงุญุธูˆุง ุงู† ุงุญู†ุง ูŠุนู†ูŠ
200
+
201
+ 51
202
+ 00:03:49,620 --> 00:03:51,780
203
+ ุจุฑุถู‡ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ุจูŠุชู„ุงุฌูˆู‡ุง ูƒุชูŠุฑ ููŠ ุงู„ูƒุชุจ
204
+
205
+ 52
206
+ 00:03:51,780 --> 00:03:56,140
207
+ ุฃุญูŠุงู†ุง ุจุชูƒู„ู… ู‡ู†ุง ุนู† ุงู„ N ุงู„ general ุงู„ equation
208
+
209
+ 53
210
+ 00:03:56,140 --> 00:04:00,560
211
+ ู†ูุณู‡ุงุŒ ุจุนุฏูŠู† ู‡ู†ุง ุจุชูƒู„ู… ุนู† K ุนู„ู‰ ุงุณุงุณ ุงู† K ู…ุชุบูŠุฑ ู…ู†
212
+
213
+ 54
214
+ 00:04:00,560 --> 00:04:07,200
215
+ ูˆุงุญุฏ ู„ุนู†ุฏ ุงู„ NูƒูˆูŠุณ ูุจูƒู„ ุจุณุงุทุฉ ุจุฏู†ุง ู†ุทู„ุน ุงู„ two
216
+
217
+ 55
218
+ 00:04:07,200 --> 00:04:11,260
219
+ terms ู‡ุฏูˆู„ุฉ ูุจูƒู„ ุจุณุงุทุฉ ุนุดุงู† ู‡ุฏูŠ ุฃุฑุฌุญู‡ุง ู„ K ุจุฏู„ K
220
+
221
+ 56
222
+ 00:04:11,260 --> 00:04:16,940
223
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฏูŠ ุฃุทู„ุน ุฃุฑุจุนุฉ ู…ู†ู‡ุง ุจุฏู†ุง ู†ุทู„ุน ุงู„ุฃุฑุจุนุฉ
224
+
225
+ 57
226
+ 00:04:16,940 --> 00:04:22,940
227
+ ู…ู†ู‡ุง ุนุณุงุณ ุงู†ู‡ ุชุตุจุญ ู‡ุฏูŠ K ุฒุงุฆุฏ ูˆุงุญุฏ in ุฒุงุฆุฏ ูˆุงุญุฏ
228
+
229
+ 58
230
+ 00:04:22,940 --> 00:04:26,520
231
+ ูƒูˆูŠุณ ูŠุนู†ูŠ ูƒู„ ุงู„ู„ูŠ ู…ุญุชุงุฌู‡ ุฒุงุฆุฏ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ุฏูŠ
232
+
233
+ 59
234
+ 00:04:26,520 --> 00:04:30,120
235
+ ู‡ุทู„ุน ุนู„ู‰ ุญุงู„ู‡ุง ุจุฑุง ู‡ูŠ ุทู„ุนู†ุงู‡ุง ุจุฑุง ูู‡ุฐุง ุตุงุฑ ุฌุฒุก ู…ู†
236
+
237
+ 60
238
+ 00:04:30,120 --> 00:04:35,560
239
+ ู…ูŠู† ู…ู† add Kู‡ูŠ ุทู„ุนู†ุง ุฌุฒุก ู…ุจุฏุฆูŠุง ุงู„ู†ุงุญูŠุฉ ุงู„ุชุงู†ูŠุฉ
240
+
241
+ 61
242
+ 00:04:35,560 --> 00:04:41,660
243
+ ุนุดุงู† ุฃุนู…ู„ ู†ูุณ ุงู„ูƒุฑุงู… ู„ู„ุฎู…ุณุฉ ุจุฏู†ุง ู†ุทู„ุน ุงุชู†ูŠู† ู„ูŠุดุŸ
244
+
245
+ 62
246
+ 00:04:41,660 --> 00:04:45,820
247
+ ู„ุฃู† ู…ุถุฑูˆุจุฉ ูƒุงู†ุช ููŠ ุงุชู†ูŠู† ูุฎู…ุณุฉ ููŠ ุฎู…ุณุฉ ุงูˆ ุฎู…ุณุฉ to
248
+
249
+ 63
250
+ 00:04:45,820 --> 00:04:49,880
251
+ the power ุงุชู†ูŠู† ูู‡ูŠ ุงู„ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ุงู„ู„ูŠ ุฏู„ุช ูุงู„
252
+
253
+ 64
254
+ 00:04:49,880 --> 00:04:52,640
255
+ term ู‡ุฐุง ูˆterm ู‡ุฐุง ู‡ู… ู…ุชู†ุงุณุจูŠู† ู…ุน ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุจุณ
256
+
257
+ 65
258
+ 00:04:52,640 --> 00:04:57,360
259
+ ูƒูŠู ุงุฎุฏู‡ู… ุงุฌู…ุญู‡ู… ู…ุน ุจุนุถุŸุจุชููƒูŠุฑู‡ ุจุณูŠุทู‡ ุนุดุงู† ุงู‚ุฏุฑ
260
+
261
+ 66
262
+ 00:04:57,360 --> 00:05:01,720
263
+ ุงุฎุฏ common ู…ุนู†ุงุชู‡ ุงู„ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ู‡ุฐู‡ ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู†
264
+
265
+ 67
266
+ 00:05:01,720 --> 00:05:07,380
267
+ ู‡ูŠ ุจุชุณุงูˆูŠ ุงุฑุจุน ุฒุงุฆุฏ ูˆุงุญุฏ
268
+
269
+ 68
270
+ 00:05:07,380 --> 00:05:14,100
271
+ ูˆุนุดุฑูŠู† ู…ุด ู‡ูŠูƒ ุงุฑุจุน ุฒุงุฆุฏ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูู‡ูŠ ุงุฑุจุน ุฒุงุฆุฏ
272
+
273
+ 69
274
+ 00:05:14,100 --> 00:05:17,380
275
+ ุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุจุชู‡ูŠุฃู„ูŠ ุจุงู„ุงู† ุจูƒู„ ุจุณุงุทู‡ ุจู†ู‚ุฏุฑ ู†ุงุฎุฏ
276
+
277
+ 70
278
+ 00:05:17,380 --> 00:05:22,920
279
+ ุงู„ุงุฑุจุนุฉ ูˆู†ุทู„ู‚ ุงู„ุงุฑุจุนุฉ ู…ุน ุงู„ุนูˆุงู…ู„ ุงู„ู…ุดุชุฑูƒุฉ ุจุชุงุนุชู‡ุง
280
+
281
+ 71
282
+ 00:05:22,920 --> 00:05:27,600
283
+ ุจูƒู„ ุจุณุงุทุฉุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ุงู„ุฃุฑุจุนุฉ ู…ุถุฑูˆุจุฉ ููŠ ุงู„ุฃุฑุจุนุฉ
284
+
285
+ 72
286
+ 00:05:27,600 --> 00:05:31,240
287
+ ู‡ูŠ to the power of k ุฒุงุฆุฏ ูˆุงุญุฏ ูˆููŠ ู†ูุณ ู„ุบุฉ ุงู„ุฃุฑุจุนุฉ
288
+
289
+ 73
290
+ 00:05:31,240 --> 00:05:35,020
291
+ ุจุฑู†ุง ู…ุถุฑูˆุจุฉ ููŠ ุงู„ุฎู…ุณุฉ to the power of 2k ู†ุงู‚ุต
292
+
293
+ 74
294
+ 00:05:35,020 --> 00:05:39,520
295
+ ูˆุงุญุฏุŒ ู…ุธุจูˆุทุŸ ู‡ูŠ ูุงู„ term ู‡ุฐุง ู…ุน ุงู„ term ู‡ุฐุง
296
+
297
+ 75
298
+ 00:05:39,520 --> 00:05:42,480
299
+ ุฃุฎุฏู†ุงู‡ู… ู…ุน ุจุนุถุŒ ุจูŠุถู„ ุนู†ุฏูŠ term ุงู„ูˆุงุญุฏ ูˆุนุดุฑูŠู† ููŠ
300
+
301
+ 76
302
+ 00:05:42,480 --> 00:05:46,520
303
+ ุฎู…ุณุฉ ูˆู‡ุฐุง ู…ู† ูˆุงุถุญ ุฌุฏุง ุฃู†ู‡ ุจูŠูƒุณุจ ุนู„ู‰ ูˆุงุญุฏ ูˆุนุดุฑูŠู†
304
+
305
+ 77
306
+ 00:05:46,520 --> 00:05:50,880
307
+ ุฃู†ุช ุนู†ุฏูƒ term ู…ุถุฑูˆุจ ููŠ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูุฅุฐุง ุงู† ุงู„ูˆุงุญุฏ
308
+
309
+ 78
310
+ 00:05:50,880 --> 00:05:56,290
311
+ ูˆุนุดุฑูŠู† divides this termุชู…ุงู…ุŸ ูˆ ู†ูุณ ุงู„ู‚ุตุฉ ุงูŠูˆุฉ
312
+
313
+ 79
314
+ 00:05:56,290 --> 00:06:02,730
315
+ ู‚ูุทุญุช ู…ุด ุดุงูŠูุŸ ู‡ุฐู‡ ุงู„ุขู† ุจุฏู„ุงู„ุฉ add k ูู‡ู†ุง ุฌูŠุจู†ุงู‡ุง
316
+
317
+ 80
318
+ 00:06:02,730 --> 00:06:07,340
319
+ k ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฏู„ุงู„ุฉ ุงู„ kูู‡ูŠ ุทุฑูŠู‚ุฉ ุชููƒูŠุฑ ู…ู†ุทู‚ูŠ
320
+
321
+ 81
322
+ 00:06:07,340 --> 00:06:13,260
323
+ ุงู„ู…ู†ุทู‚ูŠุฉ ูˆุงุญุฏุฉ ุงู„ strategy ูˆุงุญุฏุฉ ุงู„ุจุงู‚ูŠ ุจูŠุธู„ ุดุทุงุฑุฉ
324
+
325
+ 82
326
+ 00:06:13,260 --> 00:06:15,760
327
+ ูƒูŠู ุงู„ุฃุฑู‚ุงู… ุชุณุชุทูŠุน ุงู„ุชุนุงู…ู„ ู…ุนุงู‡ุง ุจุณ ุงู„ strategy
328
+
329
+ 83
330
+ 00:06:15,760 --> 00:06:18,540
331
+ ูˆุงุญุฏุฉ ุจุฏู†ุง ุนุดุงู† ู†ุฎุฑุจุท ุงู„ strategies ู…ุน ุจุนุถ ู‡ุงูŠ
332
+
333
+ 84
334
+ 00:06:18,540 --> 00:06:21,980
335
+ strategy ุงู„ inductive ุจุณ ู„ุง ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ ูู‡ุฐุง ุงู„
336
+
337
+ 85
338
+ 00:06:21,980 --> 00:06:24,760
339
+ term ูƒู„ู†ุง ุนุงุฑููŠู† ุฃู† ู‡ูˆ ู†ูุณ ุงู„ term ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
340
+
341
+ 86
342
+ 00:06:24,760 --> 00:06:31,440
343
+ ูุนู„ุง ุจูŠู‚ุณู… ุนู„ู‰ 21 ุงูˆ 21 divides it ูู‡ุฐุง ู…ุฏุงู… ุจูŠู‚ุณู…
344
+
345
+ 87
346
+ 00:06:31,440 --> 00:06:34,360
347
+ ุนู„ู‰ 21 ู…ุนู†ุงุชู‡ ุจูƒู„ ุจุณุงุทุฉ ุจุฏุฑุฌุฉ ุงู† ู‡ูˆ 21 ููŠ integer
348
+
349
+ 88
350
+ 00:06:35,400 --> 00:06:40,180
351
+ ููŠ ุฃูŠ sum integer ููŠ ุฃูŠ sum integer ุนุดุงู† ู†ู‚ุฏุฑ ู†ู‚ูˆู„
352
+
353
+ 89
354
+ 00:06:40,180 --> 00:06:44,560
355
+ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู†ุนูƒุณู‡ู… ู…ุน ุจุนุถ ู†ุฏุฎู„ ุงู„ 21 ู…ูƒุงู†
356
+
357
+ 90
358
+ 00:06:44,560 --> 00:06:47,940
359
+ ุงู„ุฃุฑุจุนุฉ ูˆ ุงู„ุฃุฑุจุนุฉ ู…ูƒุงู† ุงู„ 21 ูŠุนู†ูŠ ู…ูŠู† ุถุฑุจ ู…ูŠู† ู…ุด
360
+
361
+ 91
362
+ 00:06:47,940 --> 00:06:51,500
363
+ ู‡ุชูุฑุฌ ู…ูŠู† ุตุญูŠุญุŸ ุงู†ุช ุนู†ุฏูƒ term ุงุชู†ูŠู† ุชู„ุงุชุฉ ู…ุถุฑุจูŠู†
364
+
365
+ 92
366
+ 00:06:51,500 --> 00:06:56,080
367
+ ููŠ ุจุนุถ ู…ูŠู† ุฌุงุจ ุงู„ู…ูŠู† ู…ุด ู‡ูŠูุฑุฌ ู…ุนุงูƒ ูุทู„ุญู‡ู… ุนุดุงู† ุชุธู„
368
+
369
+ 93
370
+ 00:06:56,080 --> 00:07:00,720
371
+ 21 ู…ุน 21 ุตุงุฑ 21 ู…ุถุฑุจุฉ ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ุฃุฑุจุนุฉ ููŠ ุงู„
372
+
373
+ 94
374
+ 00:07:00,720 --> 00:07:04,180
375
+ integer ู‡ุฐุง ุงู„ sum integer plus .. ุทูŠุจ ูƒู„ ู‡ุฐุง ุงู„
376
+
377
+ 95
378
+ 00:07:04,180 --> 00:07:08,730
379
+ termุจูƒุณู… ุฃูƒูŠุฏ ู„ุฃู†ู‡ ุฃุตู„ุง ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† ูˆุงุญุฏุฉ ู…ู†
380
+
381
+ 96
382
+ 00:07:08,730 --> 00:07:15,230
383
+ ู…ุดุชู‚ุงุชู‡ ูˆุงุญุฏุฉ ู…ู† ู…ุถุฑุจุงุชู‡ ูุฅุฐุง ุฃูƒูŠุฏ ู‡ูŠุทู„ุน ุจูŠูƒุณู… ุนู„ู‰
384
+
385
+ 97
386
+ 00:07:15,230 --> 00:07:22,140
387
+ ูˆุงุญุฏ ูˆ ุนุดุฑูŠู† sure ูุฅุฐุง ุฃูƒูŠุฏ ุงู„ู†ุธุฑูŠุฉ ุตุญูŠุญุฉู„ุญุธูˆุง ุฅู†ู‡
388
+
389
+ 98
390
+ 00:07:22,140 --> 00:07:25,060
391
+ ุฅุฐุง ูƒุงู†ุช ุงุดุชุบู„ุช ู…ู† ุงู„ุฃุณุงุณ ุนู„ู‰ ููƒุฑุฉ ุงู„ two
392
+
393
+ 99
394
+ 00:07:25,060 --> 00:07:28,400
395
+ strategies ู‡ุฏูˆู„ ุงู„ุฃุณุงุณูŠุงุช ุจุนูˆุถ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ุจุนูˆุถ
396
+
397
+ 100
398
+ 00:07:28,400 --> 00:07:32,140
399
+ ุงู„ุฎุทูˆุฉ ุงู„ุชุงู†ูŠุฉ ูˆุงู†ุชู‡ุช ุงู„ู…ูˆุถูˆุน .. ุงู†ุชู‡ู‰ ุงู„ู…ูˆุถูˆุน ุฌูŠุฏ
400
+
401
+ 101
402
+ 00:07:32,140 --> 00:07:39,500
403
+ ูุฅุฐุง 21 ูุนู„ุง divides this term at k plus ูˆุงุญุฏ ูˆู‡ุฐุง
404
+
405
+ 102
406
+ 00:07:39,500 --> 00:07:42,940
407
+ ู…ุนู†ุงู‡ ุฅู† ุนู…ูˆู…ุง ุงู„ู†ุธุฑูŠุฉ ุฏุงูŠู…ุง ุตุญูŠุญุฉ ุฃูˆ ุงู„ rule ..
408
+
409
+ 103
410
+ 00:07:42,940 --> 00:07:47,560
411
+ ุจุฏู†ุง ุนุดุงู† ู†ู‚ูˆู„ theorem ุงู„ rule ุฏุงูŠู…ุง ุตุญูŠุญุฉ ุทูŠุจ
412
+
413
+ 104
414
+ 00:07:47,560 --> 00:07:50,480
415
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ rules ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ summation
416
+
417
+ 105
418
+ 00:07:51,870 --> 00:07:54,990
419
+ ู…ุชุฐูƒุฑูŠู† ููŠ ุงู„ summationุŸ ุฃุฎุฏู†ุง Euler ูˆ ุฃุฎุฏู†ุง ุงู„
420
+
421
+ 106
422
+ 00:07:54,990 --> 00:07:57,590
423
+ geometric ูˆ ู‡ู†ุชูƒู„ู… ุนู†ุฏู†ุง ุนู„ู‰ ุงู„ geometric ูƒู…ุงู†
424
+
425
+ 107
426
+ 00:07:57,590 --> 00:08:01,410
427
+ ู†ุซุจุชู‡ุง ุจุฑุถู‡ ุจุงู„ inductive ุงู„ุขู† ูƒุงู† ููŠ ุนู†ุฏู‰ ุงู„ุชุฑุจูŠุฉ
428
+
429
+ 108
430
+ 00:08:01,410 --> 00:08:07,090
431
+ .. ุงู„ุชูƒุนูŠุจ ุงู„ุชูƒุนูŠุจ ูˆ ูƒุงู†ุช ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ Euler ู„ูƒู† ูƒู„ู‡
432
+
433
+ 109
434
+ 00:08:07,090 --> 00:08:11,810
435
+ ุชุฑุจูŠุน ู‡ูŠ ุงู„ Euler term ุจุณ ูƒู„ู‡ ู…ุฑุจุน ุฅุฐุง ู…ุชุฐูƒุฑูŠู†
436
+
437
+ 110
438
+ 00:08:11,810 --> 00:08:15,350
439
+ ู‚ู„ู†ุงู‡ุง ู†ูุณ Euler ู„ูƒู† ู…ุฑุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ summation ุชุจุน
440
+
441
+ 111
442
+ 00:08:15,350 --> 00:08:20,930
443
+ ู…ูŠู† ุงู„ cube ู„ ุงู„ termsOkay ุจูƒู„ ุจุณุงุทุฉ inductive
444
+
445
+ 112
446
+ 00:08:20,930 --> 00:08:27,830
447
+ step ุนู„ู‰ ุทูˆู„ at ูˆุงุญุฏ check ู…ู† ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏ to
448
+
449
+ 113
450
+ 00:08:27,830 --> 00:08:31,070
451
+ the power ุชู„ุงุชุฉ ุฒุงุฆุฏ ุงุชู†ูŠู† to the power ุชู„ุงุชุฉ ุฒุงุฆุฏ
452
+
453
+ 114
454
+ 00:08:31,070 --> 00:08:35,410
455
+ ุชู„ุงุชุฉ to the power ุชู„ุงุชุฉ and so on ู„ุนู†ุฏ ุงู† to the
456
+
457
+ 115
458
+ 00:08:35,410 --> 00:08:40,210
459
+ power ุชู„ุงุชุฉ okay ุฎู„ุงุต ู‡ู†ุนูˆุฏ ูุงู„ูˆุงุญุฏ ุงู„ term ุงู„ุฃูˆู„
460
+
461
+ 116
462
+ 00:08:40,210 --> 00:08:43,250
463
+ ู‡ูˆ ูˆุงุญุฏ term ุงู„ุชูƒุนูŠุจ ุฎู„ุงุต ุฒูŠ ู…ุง ู‡ูˆ ุทุจ ู†ุนูˆุฏ ู‡ู†ุง
464
+
465
+ 117
466
+ 00:08:43,250 --> 00:08:48,870
467
+ ุจูˆุงุญุฏ ูˆุงุญุฏ ููŠ ุงุชู†ูŠู† ุนู„ู‰ ุงุชู†ูŠู† ูˆุงุญุฏ ุชุฑุจูŠุฉ ูŠุนู†ูŠูŠุนู†ูŠ
468
+
469
+ 118
470
+ 00:08:48,870 --> 00:08:53,290
471
+ ูƒู„ู‡ู…ุง ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ููƒู„ู‡ู…ุง ู‡ุชู„ุงู‚ูˆุง
472
+
473
+ 119
474
+ 00:08:53,290 --> 00:08:58,630
475
+ ุจูŠุณุงูˆูŠ ุงู„ูˆุงุญุฏ ูŠุนู†ูŠ ูƒู„ู‡ู… ู‡ุฐุง ุงูˆ ู‡ุฐุง ูƒู„ู‡ู… ูˆุงุญุฏ ุทูŠุจ
476
+
477
+ 120
478
+ 00:08:58,630 --> 00:09:03,870
479
+ ุงู„ active step ุจุฑุถู‡ ุจูƒู„ ุฃุฑูŠุญูŠุฉ ุจุชุนุงู…ู„ ู…ุน ุงู† at k
480
+
481
+ 121
482
+ 00:09:03,870 --> 00:09:09,310
483
+ ู‡ูŠ true ูˆ ุจุญุงูˆู„ ุงุฌูŠุจ at k plus ูˆุงุญุฏ at k plus ูˆุงุญุฏ
484
+
485
+ 122
486
+ 00:09:09,310 --> 00:09:17,040
487
+ ุชู…ุงู… ูู‡ูŠ atู† ุฒุงุฆุฏ ูˆุงุญุฏ ุงู„ term ุงู„ู„ูŠ ูˆุฑุงู‡ ูŠุนู†ูŠ ูƒุฃู†ู‡
488
+
489
+ 123
490
+ 00:09:17,040 --> 00:09:21,900
491
+ ุจุชุฏุฌ ู…ุน ู‡ุฐุง term ุงูุชุฑุถู†ุง ุงู†ู‡ ูƒู„ ู‡ุฐุง term ู‡ูˆ ุตุญ
492
+
493
+ 124
494
+ 00:09:21,900 --> 00:09:28,400
495
+ ุจุฏู„ูŠู„ ุงู†ู‡ ุนูˆุถู†ุงู‡ุง ู‡ู†ุง ุจู†ูุณ paint ูˆุถูุช ูู‚ุท ุงู„ term
496
+
497
+ 125
498
+ 00:09:28,400 --> 00:09:34,780
499
+ ุงู„ู„ูŠ ุถูู†ุงู‡ ุฌุฏูŠุฏ ูุจุฏู†ุง ู†ุดูˆู ู‡ู„ ู‡ุฐุง term ูŠุชูู‚ ู…ุน ู†ูุณ
500
+
501
+ 126
502
+ 00:09:34,780 --> 00:09:40,260
503
+ ุงู„ู†ุธุฑูŠุฉ ุจุณ ู‡ู†ุง ู‡ุชูƒูˆู† ุงู„ู…ูุฑูˆุถ ู† ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ู‡ู†ุง
504
+
505
+ 127
506
+ 00:09:40,260 --> 00:09:45,990
507
+ ู‡ุชุตุจุญ ู† ุฒุงุฆุฏ ุงุชู†ูŠู†ุนุดุงู† ู†ุชูู‚ ุงู† ุงู†ุง ู…ุด ููŠ ุงู„ term
508
+
509
+ 128
510
+ 00:09:45,990 --> 00:09:49,170
511
+ in ู„ุฃ ุงู†ุง ููŠ ุงู„ term in ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡
512
+
513
+ 129
514
+ 00:09:49,170 --> 00:09:54,270
515
+ ุญู‚ูŠู‚ู‡ ุจู‚ุฏุฑ ุงุทู„ุน ู…ู† ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ู† ุงู„ summation ุงู„ู„ูŠ
516
+
517
+ 130
518
+ 00:09:54,270 --> 00:09:59,950
519
+ ู‡ู†ุง ูˆู„ุง ู„ุฃ ูุงู„ strategy ุญุชู‰ ุงู„ุขู† ู…ุงุชุบูŠุฑุชุด ุงู†ุง ุจูู‡ู…
520
+
521
+ 131
522
+ 00:09:59,950 --> 00:10:05,410
523
+ ูŠุนู†ูŠ ู…ุงุดูŠ ููŠ ู†ูุณ ุงู„ู‚ุงู„ูŠุฉ ูˆุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุงุช ู†ุดุชุบู„
524
+
525
+ 132
526
+ 00:10:05,410 --> 00:10:09,480
527
+ ุนู„ูŠู‡ุง ุชุฑุจูŠู‡ ู‡ู†ุฏุฎู„ู‡ุนู„ู‰ ุงู„ numerator ูˆ ุงู„
528
+
529
+ 133
530
+ 00:10:09,480 --> 00:10:14,520
531
+ denominator ูู‡ู†ุง ู‡ุชุตุจุญ N ุฒุงุฆุฏ N ููŠ N ุฒุงุฆุฏ 1 ูƒู„ู‡ุง
532
+
533
+ 134
534
+ 00:10:14,520 --> 00:10:18,580
535
+ ุชุฑุจูŠุน ุนู„ู‰ 4 ุงู„ู„ูŠ ู‡ูŠ 2 ุชุฑุจูŠุน ูˆู‡ุฐุง ุงู„ term ุจู‚ุฏุฑ ุงู‚ูˆู„
536
+
537
+ 135
538
+ 00:10:18,580 --> 00:10:23,260
539
+ ุงู† ู‡ูˆ ุชุฑุจูŠุน ููŠ ู†ูุณู‡ ุชูƒุนูŠุจ ุชุฑุจูŠุน ููŠ ู†ูุณู‡ ุชูƒุนูŠุจ ูุงุด
540
+
541
+ 136
542
+ 00:10:23,260 --> 00:10:27,380
543
+ ูƒุชูŠุฑ ุฅุดูƒุงู„ูŠุฉ ูˆู‡ุฐู‡ ุจุชู‡ูŠุฃู„ูŠ ุงุณุชุฑุงุชูŠุฌูŠุง ุงู†ุช ุจู…ุฌุฑุฏ
544
+
545
+ 137
546
+ 00:10:27,380 --> 00:10:31,380
547
+ ุชุทู„ุน ููŠู‡ุง ุฃูƒูŠุฏ ู‡ุชููƒุฑ ููŠู‡ุง ู„ูŠุดุŸ ู„ุฃู† ุงู†ุช ุนู†ุฏูƒ term
548
+
549
+ 138
550
+ 00:10:31,380 --> 00:10:36,160
551
+ ุชุฑุจูŠุนูˆ ุจุฏูƒ ุชุฌู…ุน ูˆู„ุง ุชูƒุนูŠุจ ุฎู„ุงุต ุจุฏูƒ ุงู„ุชูƒุนูŠุจ ู‡ุฐุง
552
+
553
+ 139
554
+ 00:10:36,160 --> 00:10:39,040
555
+ ุชุฎููู‡ ู„ู„ุชุฑุจูŠุน ุนุดุงู† ุชู‚ุฏุฑ ุชุฌู…ุน ุฅุฐุง ุจุชู‚ุฏุฑ ุชุฌู…ุน ุฅุดูŠ
556
+
557
+ 140
558
+ 00:10:39,040 --> 00:10:43,920
559
+ ุจูƒู„ ุจุณุงุทุฉ ู…ุนู†ุงุชู‡ ุชุฑุจูŠุน ู…ุถุฑูˆุจ ููŠ ู†ูุณู‡ ูู…ู†ุทู‚ูŠุฉ ูŠุนู†ูŠ
560
+
561
+ 141
562
+ 00:10:43,920 --> 00:10:46,800
563
+ ู…ุงุชู‡ุงุด ูƒุชูŠุฑ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ูˆุง ุงุชููƒุฑ ููŠู‡ุง ูƒุชูŠุฑ ููŠ
564
+
565
+ 142
566
+ 00:10:46,800 --> 00:10:49,940
567
+ ุงู„ุงู…ุชุญุงู† ูˆ ุชู‚ูˆู„ ุทุจ ู…ู† ูˆูŠู† ุจุฏูŠ ุฃุฌูŠุจู‡ุงุŸ ู‡ูŠ ุฃู†ุช
568
+
569
+ 143
570
+ 00:10:49,940 --> 00:10:53,860
571
+ ุจุชุญุงูˆู„ ุชุฌู…ุน terms ู…ุนู†ุงุชู‡ ุฃู‡ู… ุญุงุฌุฉ ุฃู†ูƒ ุชูˆุญุฏ ุงู„
572
+
573
+ 144
574
+ 00:10:53,860 --> 00:10:57,840
575
+ termsุงู„ order ุทุจุนุง ู‡ูŠูƒู…ู„ ูˆุงุญุฏ ุฅุฐุง ู…ุฌู…ุนูŠู† ุนู„ูŠ ุฅูŠุด
576
+
577
+ 145
578
+ 00:10:57,840 --> 00:11:00,420
579
+ ูŠูƒูˆู†ูˆุง ู…ุฌู…ุนูŠู† ุนู„ูŠ ุฅูŠุด ูˆุงุญุฏ ุชู‚ุฏุฑ ุชุงุฎุฏ common ู‡ุฐุง
580
+
581
+ 146
582
+ 00:11:00,420 --> 00:11:04,620
583
+ ุงู„ู„ูŠ ุฏุงูŠู…ุง ู†ููƒุฑ ููŠู‡ุง ูƒูŠู ุฃู‚ุฏุฑ ุฃุฌู…ุน ุงู„ terms ุฃูˆ ุงู„
584
+
585
+ 147
586
+ 00:11:04,620 --> 00:11:07,820
587
+ term ุชุจุน ุงู„ rule ู…ุน ุงู„ term ุงู„ู„ูŠ ุถูุชู‡ ุชุจุน n ุฒุงุฆุฏ
588
+
589
+ 148
590
+ 00:11:07,820 --> 00:11:11,640
591
+ ูˆุงุญุฏ ุฃูˆ k ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ุฐูŠ ูƒูŠู ุจุฏูŠ ุฃุฌู…ุญู‡ู… ู…ุน ุจุนุถ ุทุจุนุง
592
+
593
+ 149
594
+ 00:11:11,640 --> 00:11:16,200
595
+ ู‡ุฐุง ุชูƒุนูŠุจ ุทุจุนุง ู‡ุฐุง ุชุฑุจูŠุน ุจุณูŠุท ุฌุฏุง ู‡ุฐุง ุญูˆู„ู†ุง ุชุฑุจูŠุน
596
+
597
+ 150
598
+ 00:11:16,200 --> 00:11:22,020
599
+ ูˆ ุฎู„ุตู†ุง ูู‡ุฐู‡ ุฃูˆู„ ุฌุฒุฆูŠุฉุฎู„ุตู†ุงู‡ุง ุตุงุฑ ูˆุงุถุญ ุนู†ุฏู‰ ุงู†
600
+
601
+ 151
602
+ 00:11:22,020 --> 00:11:25,000
603
+ ุงู„ุชุฑุจูŠู‡ ู‡ุฐู‰ ูƒู…ุงู† ุจุชุฏุฎู„ ุนู„ู‰ ุงู„ two terms ู„ูŠุดุŸ ู„ุฃู†ู‡
604
+
605
+ 152
606
+ 00:11:25,000 --> 00:11:28,900
607
+ ุตุงุฑ n ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ู‡ู†ุง ููŠ n ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ู†ุง n ุฒุงุฆุฏ
608
+
609
+ 153
610
+ 00:11:28,900 --> 00:11:32,100
611
+ ูˆุงุญุฏ ุชุฑุจูŠู‡ ู‡ู†ุง ุจุฑุถู‡ n ุฒุงุฆุฏ ูˆุงุญุฏ ุชุฑุจูŠู‡ ุจุชูˆุญูŠูƒูƒ
612
+
613
+ 154
614
+ 00:11:32,100 --> 00:11:35,120
615
+ ุจุชุฎู„ู‰ ุฒู‰ ู…ุง ุจูŠู‚ูˆู„ูˆุง ุฃููƒุงุฑูƒ ุชุฑูˆุญ ููŠ ุงุชุฌุงู‡ ุงู†ู‡ ู‡ุฐุง
616
+
617
+ 155
618
+ 00:11:35,120 --> 00:11:39,600
619
+ common ุจู‚ุฏุฑ ุฃุนู…ู„ู‡ common ู„ู„ two terms ุนู„ู‰ ุทูˆู„
620
+
621
+ 156
622
+ 00:11:39,600 --> 00:11:46,380
623
+ ุจูŠูˆุญูŠู„ูƒ ุงู„ู…ู†ุธุฑ ุจูŠูˆุญู‚ุด ูˆูŠู† ุฑุงูŠุญ ุฌูŠุฏ ูู‡ูŠ ุจูƒู„ ุจุณุงุทุฉ
624
+
625
+ 157
626
+ 00:11:46,380 --> 00:11:51,460
627
+ ุจู†ู‚ุฏุฑู†ุชุนุงู…ู„ ู…ุนุงู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุนุดุงู† ู†ุชูˆุญุฏ ู‡ุฐุง term
628
+
629
+ 158
630
+ 00:11:51,460 --> 00:11:55,680
631
+ ู…ุน ุงู„ุฃุฑุจุนุฉ ูˆ ุชู‚ุฏุฑ ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู† ููŠ ุญุงุฌุงุช ู…ุดุชุฑูƒุฉ
632
+
633
+ 159
634
+ 00:11:55,680 --> 00:11:58,920
635
+ ุจุฏูƒ ุชูˆุญุฏ ุงู„ู…ู‚ุงู… ู…ุนู†ุงุชู‡ ุฃุถุฑุจ ููŠ ุฃุฑุจุนุฉ ูˆ ุฃู‚ุณู… ุนู„ู‰
636
+
637
+ 160
638
+ 00:11:58,920 --> 00:12:02,620
639
+ ุฃุฑุจุนุฉ ุฃุถุฑุจ ููŠ ุฃุฑุจุนุฉ ูˆ ุฃู‚ุณู… ุนู„ู‰ ุฃุฑุจุนุฉ ูŠู…ูƒู† ุฃู†ุง ุดูˆูŠุฉ
640
+
641
+ 161
642
+ 00:12:02,620 --> 00:12:08,480
643
+ ุฃุฎุฏุชู‡ุง ุณุฑูŠุน ู‡ูŠูƒ ุฃุฎุฏุช ูƒุฐุง ุฎุทูˆุฉ ููŠ ุจุนุถ ูู‡ู†ุง ุฃุฑุจุนุฉ
644
+
645
+ 162
646
+ 00:12:08,480 --> 00:12:14,980
647
+ ุนู„ู‰ ุฃุฑุจุนุฉ ูˆ ุถุฑุจู†ุงููŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ term ุงู„ู„ูŠ ููƒู†ุงู‡ุง ุฏู‡
648
+
649
+ 163
650
+ 00:12:14,980 --> 00:12:20,820
651
+ ุงู„ู„ูŠ in fact ููŠ ุงู„ุขุฎุฑ ุนู†ุฏู†ุง ุชู…ุงู… ู‡ุชูˆุญุฏู‡ู… ุนุดุงู† ูŠุทู„ุน
652
+
653
+ 164
654
+ 00:12:20,820 --> 00:12:23,460
655
+ ู…ุนุงูƒ ุงู„ term ุงู„ู„ูŠ ุงู†ุช ุดุงูŠูู‡ ู‚ุฏุงู…ูƒ ุจุชู‡ูŠุฃู„ูŠ ุจูƒู„
656
+
657
+ 165
658
+ 00:12:23,460 --> 00:12:26,620
659
+ ุจุจุณุงุทุฉ
660
+
661
+ 166
662
+ 00:12:26,620 --> 00:12:32,200
663
+ ุจุชู‚ุฏุฑ ู…ู†ู‡ุง ุงุชุฌู…ุน ู…ุฌุฑุฏ ุญุฏูˆุฏ ุงุชุฌู…ุนู‡ุง ุนุดุงู† ูŠุธู‡ุฑ ููŠ
664
+
665
+ 167
666
+ 00:12:32,200 --> 00:12:36,060
667
+ ุงู„ุขุฎุฑ ุงู† ููŠ ุญุงุฌุงุช ู‡ุชุฎุชุตุฑ ู…ุน ุจุนุถ ูˆูŠู† ุงู„ู„ูŠ ู‡ูŠุฎุชุตุฑ ู…ุน
668
+
669
+ 168
670
+ 00:12:36,060 --> 00:12:39,220
671
+ ุจุนุถ ุงู„ู„ูŠ ู‡ูŠุฎุชุตุฑ ู…ุน ุจุนุถ ุงู† ุจุนุฏ ู…ุง ุฃุฎุฏู†ุง ุงู„ common
672
+
673
+ 169
674
+ 00:12:40,340 --> 00:12:43,680
675
+ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ common ุงู„ู„ูŠ ู‡ูŠ n ุฒุงุฆุฏ ูˆุงุญุฏ ูƒู„ู‡ ุชุฑุจูŠุน
676
+
677
+ 170
678
+ 00:12:43,680 --> 00:12:49,760
679
+ ุฃุฎุฏู†ุงู‡ุง ุนุงู…ู„ ู…ุดุชุฑูƒ ูˆู‡ูŠ ุทู„ุนุช ู‡ู†ุง ูู‡ุฐู‡
680
+
681
+ 171
682
+ 00:12:49,760 --> 00:12:51,960
683
+ ุงู„ุนุงู…ู„ ุงู„ู…ุดุชุฑูƒ ุงู„ู„ูŠ ู‚ู„ุชู„ูƒูˆุง ุนู„ูŠู‡ ู…ู† ุงู„ุฃูˆู„
684
+
685
+ 172
686
+ 00:12:51,960 --> 00:12:55,400
687
+ ุงุณุชุฑุงุชูŠุฌูŠุง ุจุฏูŠ ุฃุทู„ุนู‡ ู„ุฃู† ุดูƒู„ู‡ ู…ุบุฑูŠ ุฃู†ู‡ ูุนู„ุง ู‡ุฐุง
688
+
689
+ 173
690
+ 00:12:55,400 --> 00:12:59,440
691
+ ุนุงู…ู„ ู…ุดุชุฑูƒ ุงูŠุด ุงู„ู„ูŠ ุจูŠุธู„ ุงู„ n ุชุฑุจูŠุน ุญู‚ูŠู‚ูŠุฉุŸ
692
+
693
+ 174
694
+ 00:13:02,590 --> 00:13:07,490
695
+ ูˆุจุชุธู„ ุนู†ุฏูƒ ู‡ู†ุง ุงู„ n ุฒุงุฆุฏ .. ุงู‡ ุนููˆุง ุงู† ุงู„ n ุฒุงุฆุฏ
696
+
697
+ 175
698
+ 00:13:07,490 --> 00:13:11,510
699
+ ูˆุงุญุฏ ุจุณ ุจุนุฏ ู…ุง ุชุถุฑุจ ููŠ ุฃุฑุจุนุฉ ู„ุฃู†ูƒ ุชูˆุญุฏุช ุงู„ู…ู‚ุงู…ุงุชุŒ
700
+
701
+ 176
702
+ 00:13:11,510 --> 00:13:16,050
703
+ ู„ุฅู†ูƒ ุชูˆุญุฏุช ุงู„ู…ู‚ุงู…ุงุช ูู‡ูŠ n ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ุงู„ุฃุฑุจุนุฉ ุนู„ู‰
704
+
705
+ 177
706
+ 00:13:16,050 --> 00:13:21,170
707
+ ุฃุฑุจุนุฉ ููƒุฃู†ู‡ ุงู„ term ู‡ุฐุง ู‡ูŠูƒ ุฃุตุจุญ ูƒุงู…ู„ุŒ ู‡ูŠูƒุŒ ูƒู„ู‡
708
+
709
+ 178
710
+ 00:13:21,170 --> 00:13:25,750
711
+ ุนู„ู‰ ุฃุฑุจุนุฉุŒ ูƒุงู…ู„ ุนู„ู‰ ุฃุฑุจุนุฉุŒ ุจุชู‡ูŠุฃู„ูŠ ู…ุด ู‡ูŠูƒูˆู† ุนู†ุฏูƒ
712
+
713
+ 179
714
+ 00:13:25,750 --> 00:13:30,790
715
+ ุฅุดูƒุงู„ูŠุฉ ุฃู†ุช ุจุฏู„ ู…ุง ูƒุงู† ุฌู…ุน ุตุงุฑ ุถุฑุจูุตุงุฑ ูƒุฃู†ู‡ ูƒู„ู‡
716
+
717
+ 180
718
+ 00:13:30,790 --> 00:13:36,430
719
+ ู†ูุณ ุงู„ู…ู‚ุงู… ุฃุชูˆู‚ุน ุจุฑุถู‡ ู…ุงุนู†ูƒุงุด ู…ุดูƒู„ุฉ ููŠ ุงู„ term
720
+
721
+ 181
722
+ 00:13:36,430 --> 00:13:39,790
723
+ ุงู„ู„ูŠ ู‡ู†ุงูƒ ู„ุฃู†ู‡ ูˆ ุฃูุชุญ ุงู„ุฃู‚ูˆุงุต ุจุณ ูุตุงุฑุช in ุชุฑุจูŠุน
724
+
725
+ 182
726
+ 00:13:39,790 --> 00:13:45,250
727
+ ุฒูŠุฏ ุฃุฑุจุนุฉ in ุฒุงุฆุฏ ุฃุฑุจุนุฉ ู‡ุฐุง ุจูƒู„ ุจุณุงุทุฉ ุงู„ู„ูŠ ู‡ูŠ in
728
+
729
+ 183
730
+ 00:13:45,250 --> 00:13:49,030
731
+ ุฒุงุฆุฏ ุงุชู†ูŠู† ุชุฑุจูŠุน ูŠุนู†ูŠ in ุฒุงุฆุฏ ุงุชู†ูŠู† ุชุฑุจูŠุฉ ุจุชุงุนูŠ
732
+
733
+ 184
734
+ 00:13:49,030 --> 00:13:54,150
735
+ ุจูŠุจูŠู†ุช ุฎู„ุตุช ุฎู„ุตุช ุงู„ุญู„ ูู‡ูŠ ุฃุตู„ุญุช ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูˆ ู†ูุณ
736
+
737
+ 185
738
+ 00:13:54,150 --> 00:13:59,870
739
+ ุงู„ term ุงู„ู„ูŠ ุฃู†ุง ุจุชูƒู„ู… ุนู„ูŠู‡ ููˆู‚ ู„ู…ุงู†ุจุฏุฃ ู†ุฌู…ุน ุงู„
740
+
741
+ 186
742
+ 00:13:59,870 --> 00:14:04,150
743
+ terms ู…ุน ุจุนุถ ูˆ ู†ู‚ูˆู„ ุงู† ู‡ูˆ ูƒู„ู‡ ุชุฑุจูŠุน ูู‡ูˆ ู†ูุณ ุงู„ููƒุฑุฉ
744
+
745
+ 187
746
+ 00:14:04,150 --> 00:14:07,210
747
+ ุงู„ู„ูŠ ุฃู†ุง ุฌุงู‡ุฒ ุจู‚ูˆู„ ุนู„ูŠู‡ุง ู‡ุฐู‡ ุงู„ู…ูุฑูˆุถ ูŠุธู‡ุฑ ู„ูˆ ุงู†ุง
748
+
749
+ 188
750
+ 00:14:07,210 --> 00:14:14,070
751
+ ุนู† term N ุฒุงุฆุฏ 1 ุชูƒุนูŠุจ ููŠ ุงูŠ ู…ุดูƒู„ุฉ ููŠู‡ุง ุชุฑุชุจูŠุฉ ูˆ
752
+
753
+ 189
754
+ 00:14:14,070 --> 00:14:17,690
755
+ ุญุชู‰ ู…ุด ุชุฑุชุจูŠุฉ ุนุดูˆุงุฆูŠุฉ ู„ุฃ ุงุญู†ุง ุจู†ููƒุฑ ูˆูŠู† ุจุฏู†ุง ู†ุฑูˆุญ
756
+
757
+ 190
758
+ 00:14:17,690 --> 00:14:20,750
759
+ ููŠู‡ุง ูŠุนู†ูŠ ุงุญู†ุง ุฌุงู‡ุฒูŠู† ุจู†ููƒุฑ ูˆูŠู† ุจุฏู†ุง ู†ุฑูˆุญ ุงู† ุงุญู†ุง
760
+
761
+ 191
762
+ 00:14:20,750 --> 00:14:24,670
763
+ ู†ูˆุญุฏ ู…ู‚ุงู…ุงุช ู†ูˆุญุฏ ู†ุงุฎุฏ commons ู‡ุฐู‡ ุงู„ุญุงุฌุงุช ุงู„ุฃุณุงุณูŠุฉ
764
+
765
+ 192
766
+ 00:14:24,670 --> 00:14:30,560
767
+ ุงู„ู„ูŠ ุจู†ุฏูˆุฑ ุนู„ูŠู‡ุงุงู„ู„ูŠ ุฃุจุณุท ู…ู†ู‡ุง ูƒู…ุงู† ู„ุณู‡ ุงู„ู„ูŠ ู‡ูŠ
768
+
769
+ 193
770
+ 00:14:30,560 --> 00:14:35,320
771
+ ู…ูŠู† ุงู„ rule ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ู„ู„ geometric series ุงู„
772
+
773
+ 194
774
+ 00:14:35,320 --> 00:14:38,260
775
+ geometric series ุฃุฎุฏู†ุง ู‡ุฐุง ุงู„ู‚ุงู†ูˆู† ูุงู„ุฃู† ุงู„ู…ุทู„ูˆุจ
776
+
777
+ 195
778
+ 00:14:38,260 --> 00:14:42,160
779
+ ุฃู†ู‡ ู†ุซุจุชู‡ ุจุงุณุชุฎุฏุงู… ุงู„ inductive ุฃูˆ ุงู„ mathematical
780
+
781
+ 196
782
+ 00:14:42,160 --> 00:14:45,600
783
+ induction ุฃูˆ ุงู„ mathematical induction ุจูƒู„ ุจุณุงุทุฉ
784
+
785
+ 197
786
+ 00:14:45,600 --> 00:14:51,160
787
+ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ุงู„ basis ุฎู„ุงุต ุงู„ basis ุนู†ุฏ zero ู„ูŠุดุŸ
788
+
789
+ 198
790
+ 00:14:51,160 --> 00:14:55,370
791
+ ู„ุฃู†ู‡ ุฃู†ุง ุจุนูŠุฏ ู…ู† zeroูุงู†ุง ุจุฏู‡ุงุด ุจุฑุถู‡ ูƒุชูŠุฑ ุชููƒูŠุฑ
792
+
793
+ 199
794
+ 00:14:55,370 --> 00:14:58,590
795
+ ุฃู†ุง ุจุฏูŠ ู…ู† zero ูุฅุฐุง ู‡ูŠ ุงู„ basis ุชุจุนุชู‡ ู‡ูŠ ุงู„ุฎุทูˆุฉ
796
+
797
+ 200
798
+ 00:14:58,590 --> 00:15:04,150
799
+ ุงู„ุฃูˆู„ู‰ at zero ู‡ุชุตุจุญ ู‡ู†ุง A R to the power zero ูˆ
800
+
801
+ 201
802
+ 00:15:04,150 --> 00:15:11,250
803
+ ู‡ู†ุง ู‡ูŠุตุจุญ A ูˆ ุนูˆุถ ููŠ zero ูุตุงุฑุช R to the power
804
+
805
+ 202
806
+ 00:15:11,250 --> 00:15:15,490
807
+ zero ูŠุนู†ูŠ R ู„ุญุงู„ู‡ุง ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ R ู†ุงู‚ุต ูˆุงุญุฏ ุจูˆุงุญุฏ
808
+
809
+ 203
810
+ 00:15:15,490 --> 00:15:19,410
811
+ ูˆ ุงู„ R to the power zero ุจูˆุงุญุฏ ูุฅุฐุง A ุชุณุงูˆูŠ A
812
+
813
+ 204
814
+ 00:15:19,410 --> 00:15:24,470
815
+ ู‡ูŠุทู„ุน ููŠ ุงู„ุขุฎุฑ ุตุญูŠุญุฅูŠู‡ ุฒุงุฆุฏ ุงูŠู‡ ูŠุณุงูˆูŠ ุงูŠู‡ ูู‡ูŠ
816
+
817
+ 205
818
+ 00:15:24,470 --> 00:15:28,150
819
+ ู…ู†ุทู‚ูŠุฉ ุตุญูŠุญุฉ ุงู„ุขู† ู†ุฑูˆุญ ู„ู„ุฎุทูˆุฉ ุงู„ุชุงู†ูŠุฉ ุงูˆ ุงู„
820
+
821
+ 206
822
+ 00:15:28,150 --> 00:15:33,270
823
+ inductive step to k plus ูˆุงุญุฏ ุทูŠุจ ู‡ุฐู‡ ุฃุณู‡ู„ ู…ู† ู‡ุฐูŠูƒ
824
+
825
+ 207
826
+ 00:15:33,270 --> 00:15:36,950
827
+ ู„ุฃู†ู‡ ุจูƒู„ ุจุณุงุทุฉ ุจู‚ุฏุฑ ุงุทู„ู‚ at k ู„ุญุงู„ู‡ุง ู‡ุงูŠ at k
828
+
829
+ 208
830
+ 00:15:36,950 --> 00:15:41,710
831
+ ู„ุญุงู„ู‡ุง ูˆ ุจุนูˆุถ ุงู„ุตู…ุงุด ุงู„ู„ูŠ ู…ูŠู† ู„k ุฒุงุฆุฏ ูˆุงุญุฏ ู…ู† k
832
+
833
+ 209
834
+ 00:15:41,710 --> 00:15:45,250
835
+ ุฒุงุฆุฏ ูˆุงุญุฏ ู„k ุฒุงูˆูŠุฉ ูˆุงุญุฏูˆุงุญุฏุฉ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู…ู‡ุงุฑุงุช
836
+
837
+ 210
838
+ 00:15:45,250 --> 00:15:49,010
839
+ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ููŠ ุงู„ summation ูุฅุฐุง term ุฒูŠุงุฏุฉ ุจุณ
840
+
841
+ 211
842
+ 00:15:49,010 --> 00:15:52,310
843
+ ุงู„ู„ูŠ ุจูŠู†ุถุงููŠ ุนู†ุฏูƒ ุงู„ term ู‡ุฐุง ุงู„ู„ูŠ ุฒูŠุงุฏุฉ ุจุฏูƒ ุชุฌู…ุนู‡
844
+
845
+ 212
846
+ 00:15:52,310 --> 00:15:58,050
847
+ ู…ุน ุงู„ู…ุนุงุฏู„ุฉ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู†ู‡ ุงู†ุช ุจุชู‚ูˆู„ ุงู† at k ุงู„
848
+
849
+ 213
850
+ 00:15:58,050 --> 00:16:02,970
851
+ rule is true ุตุญ ุงู†ุช ุจุชู‚ูˆู„ ุงู† ู‡ูŠ true ุงู†ุช ุจุฏูƒ ุชุซุจุช
852
+
853
+ 214
854
+ 00:16:02,970 --> 00:16:09,650
855
+ at k ุฒุงุฆุฏ ูˆุงุญุฏ ุทูŠุจ ู…ุฏุงู… true ู…ุนู†ุงุชู‡ ุจุญุท ู‚ูŠู…ุชู‡ุง ุจุญุท
856
+
857
+ 215
858
+ 00:16:09,650 --> 00:16:13,110
859
+ ู‚ูŠู…ุชู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ู‡ูŠ ุจู†ุฒู„ู‡ุง
860
+
861
+ 216
862
+ 00:16:15,420 --> 00:16:19,940
863
+ ุงู„ุขู† ุจู†ุฌู…ุน ุจุณ ูˆุงู†ุง ุนูŠู†ูŠ ุนู„ู‰ ุฅูŠุด .. ุฅูŠุด ุงู„ู…ุชุบูŠุฑ ..
864
+
865
+ 217
866
+ 00:16:19,940 --> 00:16:24,320
867
+ ุฅูŠ๏ฟฝ๏ฟฝ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุชุบูŠุฑ ููŠ ุงู„ู‚ุงู†ูˆู† ู…ู† n to n ุฒุงุฆุฏ ูˆุงุญุฏ
868
+
869
+ 218
870
+ 00:16:24,320 --> 00:16:27,660
871
+ ุฃูˆ ู…ู† k ู„ k ุฒุงุฆุฏ ูˆุงุญุฏ ุฅู† ู‡ุฐุง ุงู„ term ู‡ูˆ ุงู„ู„ูŠ
872
+
873
+ 219
874
+ 00:16:27,660 --> 00:16:31,340
875
+ ู‡ูŠุชุบูŠุฑุŒ ุงู„ุจุงู‚ูŠ ูƒู„ู‡ ุซูˆุงุจุชุŒ ู‡ุฐุง ุงู„ term ุงู„ู…ูุฑูˆุถ ุฅู†ู‡
876
+
877
+ 220
878
+ 00:16:31,340 --> 00:16:39,030
879
+ ุฃุตุจุญ R n ุฒุงุฆุฏ 2ู…ุด ู‡ูŠูƒุŸ ุงูŠู‡ุŸ ุงู„ุทุจูŠุนูŠ ู‡ูŠูƒ ูŠุตูŠุฑ ูˆ
880
+
881
+ 221
882
+ 00:16:39,030 --> 00:16:42,070
883
+ ูƒูˆูŠุณ ูุฅุฐุง ูƒู„ ุงู„ููƒุฑุฉ ู‡ูŠู‡ุง ุฃู†ูŠ ุจุฏูŠ ุฃุฌู…ุน ู‡ุฐุง ุงู„ term
884
+
885
+ 222
886
+ 00:16:42,070 --> 00:16:48,870
887
+ ู…ุน ุงู„ู„ูŠ ููˆู‚ ุจูƒู„ ุจุณุงุทุฉ ุฎุฏ ุนุงู…ู„ ู…ุดุชุฑูƒ ุงูˆ ุฎุฏ
888
+
889
+ 223
890
+ 00:16:48,870 --> 00:16:53,750
891
+ ุงู„ู…ุดุชุฑูƒุงุช ุจูŠู†ู‡ู… ุทุจุนุง ุงู„ูƒู„ุงู… ู‡ุฐุง ุงุญู†ุง ู…ุงุบูŠุฑู†ุงุด ููŠู‡
892
+
893
+ 224
894
+ 00:16:53,750 --> 00:16:56,830
895
+ ุฃูŠ ุดูŠุก ุฃุฎุฏู†ุง ุงู„ a ุจุณ ุงู„ุนุงู…ู„ ุงู„ู…ุดุชุฑูƒ ุงู„ a ูƒุนุงู…ู„
896
+
897
+ 225
898
+ 00:16:56,830 --> 00:17:00,670
899
+ ู…ุดุชุฑูƒ ุจุชู‡ูŠุฃู„ูŠ ุจูƒู„ ุจุณุงุทุฉ ู…ู…ูƒู† ู†ุงุฎุฏ r ุฒุงู‚ ู†ุงู‚ุต ูˆุงุญุฏ
900
+
901
+ 226
902
+ 00:17:00,670 --> 00:17:06,450
903
+ ููŠ ุงู„ุทุฑููŠู†ููˆู‚ ูˆ ุชุญุช ุนู„ู‰ ุงุณุงุณ ุงู† ู†ูˆุญุฏ ุงู„ู…ู‚ุงู…ุงุช ูู‡ูŠ
904
+
905
+ 227
906
+ 00:17:06,450 --> 00:17:10,390
907
+ ู…ูˆุญุฏู†ุง ู…ู‚ุงู…ุงุชู†ุง ูƒูˆูŠุณ ู…ุงุฏุงู… ุฎู„ุตู†ุง ุชูˆุญูŠุฏ ุงู„ู…ู‚ุงู…ุงุช
908
+
909
+ 228
910
+ 00:17:10,390 --> 00:17:14,770
911
+ ุงู„ุงู† two terms ุจุฏู†ุง ู†ูˆุญุฏู‡ู… ุจุณ ู…ุน ุจุนุถู‡ู… ุงุนุชู‚ุฏ ูˆุงุถุญุฉ
912
+
913
+ 229
914
+ 00:17:14,770 --> 00:17:20,030
915
+ ุงู†ู‡ุง ู‡ุชูƒูˆู† ุงู„ุงู† ู„ูˆ ู‡ุฏ ุถุฑุจู†ุงู‡ุง ุฌูˆุง ู‡ุตุจุญ ุฒุงุฆุฏ ุงุชู†ูŠู†
916
+
917
+ 230
918
+ 00:17:20,030 --> 00:17:25,330
919
+ ุตุญุŸ ูˆู‡ุฏ ุฌูˆุง ุฒุงุฆุฏ ูˆุงุญุฏ ุจุณ ุจุงู„ุณุงู„ุจ ูˆู‡ุฏ ุจุงู„ู…ูˆุฌุจ
920
+
921
+ 231
922
+ 00:17:25,330 --> 00:17:31,230
923
+ ู‡ูŠุฑูˆุญูˆุง ู…ุน ุจุนุถ ู‡ุชุธู„ ุงู„ R ูƒุชูˆ ุฒุงุฆุฏ ุงุชู†ูŠู† ู…ุน ุงู„ู†ุงู‚ุต
924
+
925
+ 232
926
+ 00:17:31,230 --> 00:17:37,590
927
+ ูˆุงุญุฏ ุงู„ุงูˆู„ู‰ู…ุน ุงู„ู†ุงู‚ุต ูˆุงุญุฏ ุงู„ุฃูˆู„ู‰ ููƒูุชู„ูƒ ุฅูŠุงู‡ ุฃูƒุชุฑ
928
+
929
+ 233
930
+ 00:17:37,590 --> 00:17:42,770
931
+ ู‡ูŠููƒูุชู†ุงู‡ุง ุจุดูƒู„ ุฃูƒุจุฑ ู„ุฅูŠุดุŸ
932
+
933
+ 234
934
+ 00:17:42,770 --> 00:17:48,730
935
+ ู„ุฃู†ู‡ ุจุจุณุงุทุฉ ู‡ุฐู‡ ู‡ุชุทูŠุฑ ู…ุน ู‡ุฐู‡ ุฏู„ ุนู†ุฏูƒ ุงู„ู„ูŠ ุฃู†ุช ุจุฏูƒ
936
+
937
+ 235
938
+ 00:17:48,730 --> 00:17:53,870
939
+ ุฅูŠุงู‡ ุฃุตู„ุง ูุฅุฐุง ุฃุซุจุชู†ุงู‡ุง ุฃู†ู‡ ูุนู„ุง ุฅุฐุง ูƒุงู†ุช add k ู‡ูŠ
940
+
941
+ 236
942
+ 00:17:53,870 --> 00:17:57,230
943
+ is true ุจุงู„ุถุฑูˆุฑุฉ ู‡ุชูƒูˆู† add k ุฒุงุฆุฏ ูˆุงุญุฏ ุจุฑุถู‡ is
944
+
945
+ 237
946
+ 00:17:57,230 --> 00:18:10,060
947
+ trueุชู…ุงู…ุŒ ูƒู…ุงู† ู…ุซู„ุŒ ูƒู…ุงู† ู…ุซู„ุŒ ู‡ุงูŠ ุงู„ route to
948
+
949
+ 238
950
+ 00:18:10,060 --> 00:18:15,660
951
+ ุงู„ rational ุฃุฎุฏู†ุงู‡ุง ุทุจุนุง ุงุญู†ุง ุจุงู„ conductiveุŒ ุจุงู„
952
+
953
+ 239
954
+ 00:18:15,660 --> 00:18:18,600
955
+ .. ุงู‡ ุจุงู„ contradictionุŒ ุจุงู„ contradiction ุงู„ู„ูŠ
956
+
957
+ 240
958
+ 00:18:18,600 --> 00:18:22,220
959
+ ุงู†ุง ุจุฏูˆูŠุงู‡ุง ุจุงู„ู…ูŠู†ุŸ ุจุงู„ inductive proofุŒ ุจุงู„
960
+
961
+ 241
962
+ 00:18:22,220 --> 00:18:25,840
963
+ inductive proofุทูŠุจ ุนุดุงู† ุงู‚ูˆู„ ุจุงู„ inductive proof
964
+
965
+ 242
966
+ 00:18:25,840 --> 00:18:29,480
967
+ ุจุฏู†ุง ู†ุฑุฌุน ู„ููƒุฑุชู‡ุง ู„ุงุญุธ ุงู† ุงุญู†ุง ู‡ู†ุง ู…ุงููŠุด ุนู†ุฏูŠ N
968
+
969
+ 243
970
+ 00:18:29,480 --> 00:18:35,100
971
+ ุตุญุŸ ุฒูŠ ุจุงู„ุธุจุท ู„ู…ุง ุฑูˆุญุชูˆุง ููŠ ุนู…ู„ูŠุฉ ุงู„ contradiction
972
+
973
+ 244
974
+ 00:18:35,100 --> 00:18:39,340
975
+ ุจุฑุถู‡ ูƒู†ุชูˆุง ู…ุญุชุฑูŠู† ุงู†ู‡ ู…ุงููŠุด ุทุฑููŠู† ููŠ ูˆุฌู‡ุชู‡ุง ูƒู†ุชูˆุง
976
+
977
+ 245
978
+ 00:18:39,340 --> 00:18:41,660
979
+ ุจุชู‚ูˆู„ูˆุง ุงู†ู‡ ู…ุงููŠุด ุทุฑููŠู† ู‡ู†ุง ู†ูุณ ุงู„ุฌุณุฉ ุฃู†ุง ู…ุงุนู†ุฏูŠุด
980
+
981
+ 246
982
+ 00:18:41,660 --> 00:18:44,780
983
+ N ุงู„ุดูŠุก N ู‡ุฐุง ุงู„ู„ูŠ ุจุฏู†ุง ู†ุณุชุนุงู…ู„ ู…ุนุงู‡ุง ุจูƒู„ ุจุณุงุทุฉ
984
+
985
+ 247
986
+ 00:18:44,780 --> 00:18:50,060
987
+ ุงุญู†ุง ู‡ู†ูˆู„ุฏ N ู‡ู†ุนู…ู„ N ู‡ู†ุง ููŠู‡ุง ุจุญูŠุซ ุงู†ูŠ ุงู‚ูˆู„ let P
988
+
989
+ 248
990
+ 00:18:50,060 --> 00:18:56,340
991
+ of Nู‡ูŠ ุงู†ู‡ that there is no positive integers B
992
+
993
+ 249
994
+ 00:18:56,340 --> 00:19:06,160
995
+ such that root two ุชุณุงูˆูŠ N over B ู„ุง ูŠูˆุฌุฏ integer
996
+
997
+ 250
998
+ 00:19:06,160 --> 00:19:15,040
999
+ ูƒู…ู‚ุงู… ูˆ N ู…ู‚ุตูˆู…ุฉ ุนู„ูŠู‡ ุชุนุทูŠู†ูŠ ุงู„ู†ุณุจุฉ ุฌุฐุฑ ุงุชู†ูŠู†
1000
+
1001
+ 251
1002
+ 00:19:15,040 --> 00:19:19,460
1003
+ ุงู„ู†ุณุจุฉ ุฌุฐุฑ ุงุชู†ูŠู† ูˆุงู„ุงู† ุจุฏูŠ ุงุจุฏุฃ ุงู‚ูˆู„ ุงูŠุด ู‚ูŠู… N
1004
+
1005
+ 252
1006
+ 00:19:19,460 --> 00:19:20,200
1007
+ ุงู„ู…ู…ูƒู†ุฉ
1008
+
1009
+ 253
1010
+ 00:19:23,490 --> 00:19:27,790
1011
+ ููˆู„ุฏู†ุง ู„ู‡ุง n ู…ู† ุนู†ุฏู†ุง ุฌุจู†ุง ู„ู‡ุง n ู…ู† ุนู†ุฏู†ุง ุชู…ุงู…
1012
+
1013
+ 254
1014
+ 00:19:27,790 --> 00:19:31,190
1015
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃุตุจุญ ุจูƒู„ ุจุณุงุทุฉ ุจุชู‚ุฏุฑ ุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุงู„ุงู†
1016
+
1017
+ 255
1018
+ 00:19:31,190 --> 00:19:37,150
1019
+ ู‚ูŠู…ุฉ n ุงู„ู…ู†ุงุณุจุฉ ุชู‚ุณู… ุนู„ู‰ b ุนุดุงู† ุชุนุทูŠ ุฌุฏุฑ ุงุชู†ูŠู† ุฅุฐุง
1020
+
1021
+ 256
1022
+ 00:19:37,150 --> 00:19:42,710
1023
+ ูˆุงู„ู„ู‡ ููŠ ู‚ูŠู…ุฉ ู„ n ู…ุนู†ุงุชู‡ ู‡ูŠ rational ูุฅุญู†ุง ุงู„ูุฑุถูŠุฉ
1024
+
1025
+ 257
1026
+ 00:19:42,710 --> 00:19:45,030
1027
+ ุฅูŠุด ุจุชู‚ูˆู„ is no positive
1028
+
1029
+ 258
1030
+ 00:19:47,050 --> 00:19:51,210
1031
+ is no positive ููŠุงุฑูŠุช ู†ุญุท ุชุญุชู‡ุง ุชู„ุชุฉ ุงุฑุจุนุฉ ุฎุทูˆุท
1032
+
1033
+ 259
1034
+ 00:19:51,210 --> 00:19:56,250
1035
+ ู‡ุฐู‡ no positive ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุงู†ุง ุจุชูƒู„ู… ุงู†ู‡ ู„ุง ูŠูˆุฌุฏ
1036
+
1037
+ 260
1038
+ 00:19:56,250 --> 00:19:59,690
1039
+ ู„ุงู† ู„ู‚ุฏุงู… ุดูˆูŠุฉ ุจุฏู†ุง ู†ุถู„ู†ุง ู†ุจุฑูƒุฒูŠู† ุงู† ุงู†ุง ุจุชูƒู„ู… ุนู†
1040
+
1041
+ 261
1042
+ 00:19:59,690 --> 00:20:04,490
1043
+ ู„ุง ูŠูˆุฌุฏ ูุงู„ุงุซุจุงุช ุงู†ู‡ ู„ุง ูŠูˆุฌุฏ ุงู„ู†ููŠ ุชุจุนู‡ุง ุจูŠุตูŠุฑ ุงู†ู‡
1044
+
1045
+ 262
1046
+ 00:20:04,490 --> 00:20:12,110
1047
+ ูŠูˆุฌุฏ ุฌุจู„ ู…ุง ู†ุนุฏ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ูˆุงุถุญุฉ ูˆุงุถุญุฉุฃูŠูˆุฉ true
1048
+
1049
+ 263
1050
+ 00:20:12,110 --> 00:20:16,910
1051
+ ู…ุนู†ุงุชู‡ ุงู†ู‡ ู„ุง positive ูุงู„ุงู† ู„ู…ุง ุจุฏูŠ ุงู‚ูˆู„ ุจุฏูŠ ุงูุฑุถ
1052
+
1053
+ 264
1054
+ 00:20:16,910 --> 00:20:22,190
1055
+ ุนูƒุณู‡ุง ู…ุนู†ุงุชู‡ ุจุฏูŠ ุงู‚ูˆู„ ุงู†ู‡ ู„ุฃ ู‡ูŠ ูŠูˆุฌุฏ ูุฑุถูŠุฉ ุญุชู‰
1056
+
1057
+ 265
1058
+ 00:20:22,190 --> 00:20:24,370
1059
+ ุงู„ุขู† ุงู„ function ุงู„ู„ูŠ ุงุญู†ุง ุดุบุงู„ูŠู† ุนู„ูŠู‡ุง ุจุฏู†ุง
1060
+
1061
+ 266
1062
+ 00:20:24,370 --> 00:20:29,350
1063
+ ู†ุซุจุชู‡ุง ุงู† ู‡ูŠ P of M ุงู†ู‡ ู„ุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู„ M ุงู‚ุณู…ู‡ุง
1064
+
1065
+ 267
1066
+ 00:20:29,350 --> 00:20:37,140
1067
+ ุนู„ู‰ integer ู…ุนูŠู† ุจูŠู‡ ูˆ ูŠุทู„ุน ู„ูŠู‡ ุฌุฐุฑ ุงุชู†ูŠู†ุทูŠุจ ูุงู„ุงู†
1068
+
1069
+ 268
1070
+ 00:20:37,140 --> 00:20:41,180
1071
+ ู†ุจุฏุฃ ุจุงู„ business step N ุจุชุณุงูˆูŠ ูˆุงุญุฏ ุจุชุจุฏุฃ ุนู†ุฏ N
1072
+
1073
+ 269
1074
+ 00:20:41,180 --> 00:20:46,980
1075
+ ุจุชุณุงูˆูŠ ูˆุงุญุฏ ุซู… ู†ุซุจุช ุจุนุฏ ุฐู„ูƒ ุงู† ุงู„ูƒู„ ุฒูŠู‡ ุงู„ู„ูŠ ู‡ูˆ K,
1076
+
1077
+ 270
1078
+ 00:20:47,360 --> 00:20:54,780
1079
+ K ุฒุงุฆุฏ ูˆุงุญุฏ, K ุฒุงุฆุฏ ุงุชู†ูŠู† ูˆูƒู„ ู‚ูŠู… ู…ู† ูˆุงุญุฏ ู„ K
1080
+
1081
+ 271
1082
+ 00:20:54,780 --> 00:21:01,240
1083
+ ู‡ูŠุญู‚ู‚ูˆุง ู†ูุณ ุงู„ function ุงู„ู„ูŠ ู‡ูŠ ู„ุงูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู†ู‚ุณู…ู‡ุง
1084
+
1085
+ 272
1086
+ 00:21:01,240 --> 00:21:06,260
1087
+ ุนู„ู‰ ุจูŠุท ูˆ ุงุนุทูŠุด ุงุชุฑ ุงุชู†ูŠู†ุงู„ู„ูŠ ู‡ูŠ ู„ุง ูŠูˆุฌุฏ ุชู…ุงู… ูุฅุฐุง
1088
+
1089
+ 273
1090
+ 00:21:06,260 --> 00:21:11,840
1091
+ ุงู„ business tip ูƒุงู†ุช ุชุงู„ูŠ ู‡ุชุตุจุญ ุจุชูุชุฑุถ ุงู† ุจูŠ ูˆุงุญุฏ
1092
+
1093
+ 274
1094
+ 00:21:11,840 --> 00:21:18,020
1095
+ is true ูƒูŠูุŸ ู‡ู‚ูˆู„ ุฌุฐุฑ ุงุชู†ูŠู† ู‡ุชุตุจุญ ู‡ู†ุง ูˆุงุญุฏ ู…ุด ูˆุงุญุฏ
1096
+
1097
+ 275
1098
+ 00:21:18,020 --> 00:21:21,520
1099
+ ุทุจ ุงู†ุง ุนุงุฑู ุงู† ุฌุฐุฑ ุงุชู†ูŠู† ู‡ูŠ ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ู…ู† ุงู„ูˆุงุญุฏ
1100
+
1101
+ 276
1102
+ 00:21:21,520 --> 00:21:25,240
1103
+ ุงู„ุตุญูŠุญ ุงู„ุทุจูŠุนูŠ ุทูŠุจ ููŠ ู†ูุณ ุงู„ูˆุฌู‡ุฉ ุงู„ูˆุงุญุฏ ุงู„ุตุญูŠุญ
1104
+
1105
+ 277
1106
+ 00:21:25,240 --> 00:21:31,260
1107
+ ุงู„ุทุจูŠุนูŠ ู‡ูˆ ุงูƒุจุฑ ู…ู† ุงูˆ ูŠุณูˆูŠ ูˆุงุญุฏ ุนู„ู‰ ุจูŠ ุนู„ู‰ ุงุนุชุจุงุฑ
1108
+
1109
+ 278
1110
+ 00:21:31,260 --> 00:21:36,880
1111
+ ุงู† ุจูŠ positive integerุจ positive integer ูŠุนู†ูŠ ุฃู‚ู„
1112
+
1113
+ 279
1114
+ 00:21:36,880 --> 00:21:41,000
1115
+ ู‚ูŠู…ุฉ ู„ู‡ ุฃู† ูŠูƒูˆู† ูˆุงุญุฏ ุทูŠุจ ู„ูˆ ูƒุงู†ุช ูˆุงุญุฏ ุนู„ู‰ ูˆุงุญุฏ
1116
+
1117
+ 280
1118
+ 00:21:41,000 --> 00:21:44,080
1119
+ ู…ุนู†ุงุชู‡ ูŠุณุงูˆูŠ ุงู„ูˆุงุญุฏ ูˆุงุญู†ุง ุนุงุฑููŠู† ุฃู†ู‡ ุงู„ูˆุงุญุฏ ุฃู‚ู„ ู…ู†
1120
+
1121
+ 281
1122
+ 00:21:44,080 --> 00:21:49,760
1123
+ ุฌุฐุฑ ุงุชู†ูŠู† ู…ุนู†ุงุชู‡ ู„ุง ูŠุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ู…ุนู†ุงุชู‡
1124
+
1125
+ 282
1126
+ 00:21:49,760 --> 00:21:53,520
1127
+ ู„ุง ูŠุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ุตุญ ู…ุนู†ุงุชู‡ ุฃู†ุง ุญู‚ู‚ุช ุงู„ุญู‚ูŠู‚ุฉ
1128
+
1129
+ 283
1130
+ 00:21:53,520 --> 00:21:59,260
1131
+ ุงู„ู†ุธุฑูŠุฉ ู‡ุฐู‡ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ ูŠุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ู‡ูˆ ูุนู„ุง
1132
+
1133
+ 284
1134
+ 00:21:59,260 --> 00:22:03,130
1135
+ ู…ุณุงูˆูŠุด ุฌุฐุฑ ุงุชู†ูŠู† ู‡ูŠ ุนู†ุฏ ุงู„ูˆุงุญุฏุฎู„ุตู†ุง ุงู„ business
1136
+
1137
+ 285
1138
+ 00:22:03,130 --> 00:22:07,850
1139
+ step ุญุชู‰ ุงู„ู„ุญุธุฉ ู‡ูŠ ุงู„ business step ุชู…ุงู… ู„ูƒู„ ู‚ูŠู…
1140
+
1141
+ 286
1142
+ 00:22:07,850 --> 00:22:11,470
1143
+ ุทุจุนุง ู…ูŠู† ุจูŠู‡ ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ูˆุงุญุฏ ู„ุฃู†ู‡ ุฅุฐุง ูƒุงู†ุช
1144
+
1145
+ 287
1146
+ 00:22:11,470 --> 00:22:14,170
1147
+ ุฃูƒุจุฑ ู…ู† ุงู„ูˆุงุญุฏ ูƒู…ุงู† ู…ุนู†ุงุชู‡ ุจุงู„ุนูƒุณ ุตุงุฑุช fraction
1148
+
1149
+ 288
1150
+ 00:22:14,170 --> 00:22:17,670
1151
+ ูŠุนู†ูŠ ูƒู…ุงู† ุฃู‚ู„ ู…ู† ุงู„ูˆุงุญุฏ ูู‡ูŠ ุจุงู„ุถุฑูˆุฑูŠ ุฃูƒูŠุฏ ู…ุด ู‡ุชูƒูˆู†
1152
+
1153
+ 289
1154
+ 00:22:17,670 --> 00:22:21,050
1155
+ ุชุณุงูˆูŠ ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ุฃู†ุง ุนุงุฑู ุงู†ู‡ ุฒุงุฏุฑ ุงุชู†ูŠู† ุฃูƒุจุฑ ู…ู†
1156
+
1157
+ 290
1158
+ 00:22:21,050 --> 00:22:26,860
1159
+ ูˆุงุญุฏุฃุญู†ุง ู…ุณุจู‚ุง ุนุงุฑููŠู† ุฃู†ู‡ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ ุตุญุŸ ูุฅุฐุง ุฃูŠ
1160
+
1161
+ 291
1162
+ 00:22:26,860 --> 00:22:31,260
1163
+ ูƒุณุฑ ูˆุงุญุฏ ุนู„ู‰ ุฃูŠ ุฑู‚ู… positive ู…ุณุชุญูŠู„ ูŠูƒูˆู† ุจูŠุณุงูˆูŠ
1164
+
1165
+ 292
1166
+ 00:22:31,260 --> 00:22:34,480
1167
+ ุฐุงุช ุงู„ุฃุชู†ูŠู† ู„ุฃู†ู‡ ุญูŠูƒูˆู† fraction ูุฎู„ุตู†ุง ุงู„ business
1168
+
1169
+ 293
1170
+ 00:22:34,480 --> 00:22:39,200
1171
+ step ุงู„ inductive step ุงู„ inductive step ุงู„ุขู† ููŠ
1172
+
1173
+ 294
1174
+ 00:22:39,200 --> 00:22:44,920
1175
+ ุงู„ inductive step assume that P of J is true ุทูŠุจ
1176
+
1177
+ 295
1178
+ 00:22:44,920 --> 00:22:50,080
1179
+ ู…ูŠู† J ู‡ุฐูŠุŸ ู„ูƒู„ ุงู„ู‚ูŠู… J ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณูˆู‰ K strong
1180
+
1181
+ 296
1182
+ 00:22:51,190 --> 00:22:55,490
1183
+ proof ุฃู†ุง ู‡ู†ุง ุจุชูƒู„ู… ุนู† ุงู„ strong proof ูˆู‡ุฐุง ุงู„ู†ู‚ุทุฉ
1184
+
1185
+ 297
1186
+ 00:22:55,490 --> 00:22:58,330
1187
+ ุงู„ู„ูŠ ูƒู†ุชูˆุง ุจุชู‚ูˆู„ูŠู‡ุง ุตุญ ุงู„ strong proof ูุฅุฐุง ุฃู†ุง
1188
+
1189
+ 298
1190
+ 00:22:58,330 --> 00:23:05,050
1191
+ ุจุชูƒู„ู… ู‡ู†ุง ุนู† P of J is true ู„ูƒู„ mean J ู‡ุฐู‡ ู„ูƒู„
1192
+
1193
+ 299
1194
+ 00:23:05,050 --> 00:23:09,430
1195
+ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† K ุงุจุชุฏุงุก ุทุจุนุง ู…ู† ุงู„ mean ู…ู† ุงู„
1196
+
1197
+ 300
1198
+ 00:23:09,430 --> 00:23:12,550
1199
+ business step ู…ู† ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ูˆุงู„ุงุชู†ูŠู† ูˆุงู„ุชู„ุงุชุฉ
1200
+
1201
+ 301
1202
+ 00:23:12,550 --> 00:23:16,650
1203
+ ูˆุงู„ุงุฑุจุนุฉ ูˆุงู„ุฎู…ุณุฉ ูˆุงู„ุณุชุฉ ูˆุงู„ุชู…ุงู†ูŠุฉ ูˆุงู„ุชุณุนุฉ to K ุฅุฐุง
1204
+
1205
+ 302
1206
+ 00:23:16,650 --> 00:23:23,020
1207
+ ูƒู„ู‡ู… ูุนู„ุง ุจูŠุญู‚ู‚ูˆุง ู†ูุณุงู„ูุฑุถูŠุฉ ุจุชุงุนุชู†ุง ุงู† ูˆู„ุง ุฑู‚ู… ู„ูˆ
1208
+
1209
+ 303
1210
+ 00:23:23,020 --> 00:23:28,200
1211
+ ู‚ุตุจุชู‡ ุนู„ู‰ P ุจุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ูˆู„ุง ๏ฟฝ๏ฟฝู‚ู… ู…ุนู†ุงุชู‡ ุจุฏู†ุง
1212
+
1213
+ 304
1214
+ 00:23:28,200 --> 00:23:32,420
1215
+ ู†ุซุจุช ุงู† ุญุชู‰ K ุฒุงุฆุฏ ูˆุงุญุฏ ู„ูˆ ู‚ุตุจู†ุงู‡ุง ุนู„ู‰ P ุจุฑุถู‡ ู…ุด
1216
+
1217
+ 305
1218
+ 00:23:32,420 --> 00:23:38,500
1219
+ ู‡ุชุณุงูˆูŠ ูƒุฌุฐุฑ ุงุชู†ูŠู† ุฌุฐุฑ ุงุชู†ูŠู† ูู…ุจุฏุฃูŠุง ุญุชู‰ ุงู„ุขู†
1220
+
1221
+ 306
1222
+ 00:23:38,500 --> 00:23:41,440
1223
+ ุงู„ูุฑุถูŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ inductive step ุงู„ู„ูŠ ุจุฏู†ุง
1224
+
1225
+ 307
1226
+ 00:23:41,440 --> 00:23:47,340
1227
+ ู†ุจู†ูŠ ุนู„ูŠู‡ุง ูุฅุฐุง ุงู„ู…ุนู†ู‰ ุฐู„ูƒ ุงู† ุฌุฐุฑ ุงุชู†ูŠู† ู„ุง ูŠุณุงูˆูŠ J
1228
+
1229
+ 308
1230
+ 00:23:47,340 --> 00:23:53,770
1231
+ over Pู„ุฃู† ู‡ุฐู‡ ู‡ูŠ ุงู„ูุฑุถูŠุฉ ุงู„ู„ูŠ ุฃู†ุง ุฃูุฑุถู‡ุง at k
1232
+
1233
+ 309
1234
+ 00:23:53,770 --> 00:24:00,850
1235
+ ุงู„ุดูŠุก ุฃู†ุง ุฌุงู‡ุงุฏ ุจู‚ูˆู„ ุฃู†ู‡ ุงู„ูุฑุถูŠุชูŠ ุงู„ุตุญูŠุญุฉ at k ุทุจ
1236
+
1237
+ 310
1238
+ 00:24:00,850 --> 00:24:06,510
1239
+ strong proof ู…ุนู†ุงุชู‡ at k ูˆูƒู„ ู…ุง ู‚ุจู„ู‡ุง is true ู…ุฏุงู…
1240
+
1241
+ 311
1242
+ 00:24:06,510 --> 00:24:12,460
1243
+ is true ู…ุนู†ุงุชู‡ ู„ุง ุชุณุงูˆูŠ g over bู„ุฃู†ู‡ no positive
1244
+
1245
+ 312
1246
+ 00:24:12,460 --> 00:24:15,980
1247
+ ู‡ูŠุชูƒู…ู„ ู…ุฑุฉ ุนุดุงู† ุงูŠู‡ ุญุทูŠู†ุง ุนู„ูŠู‡ุง ุชู„ุช ุฎุทูˆุท ุญุทูŠู†ุง
1248
+
1249
+ 313
1250
+ 00:24:15,980 --> 00:24:20,200
1251
+ ุชุญุชู‡ุง ุชู„ุช ุฎุทูˆุท ุฌูŠุฏ ู‡ุฐุง ู…ุนู†ุงุชู‡ ุฅุฐุง ู‚ุฏุฑุช ุฃู‚ูˆู„ ุฅู† ู‡ุฐุง
1252
+
1253
+ 314
1254
+ 00:24:20,200 --> 00:24:24,380
1255
+ ุฃุซุจุชู†ุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุฅุฐุง ู‡ุฐุง ุตุญูŠุญ ุฅุฐุง ุจุงู„ุถุฑูˆุฑุฉ ู‡ุชูƒูˆู†
1256
+
1257
+ 315
1258
+ 00:24:24,380 --> 00:24:27,880
1259
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุตุญูŠุญ ุงู„ุขู† ุจุฏู†ุง ู†ุซุจุช ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ู‡ู„ ูุนู„ุง
1260
+
1261
+ 316
1262
+ 00:24:27,880 --> 00:24:30,680
1263
+ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ุจุณ ุงุญู†ุง ู‡ู†ุง ุญุทูŠู†ุง ุงู„ู†ุธุฑูŠุฉ ุชุจุนุช ู…ู†
1264
+
1265
+ 317
1266
+ 00:24:30,680 --> 00:24:38,990
1267
+ strong mathematical induction ุฅู†ู‡ ู…ุด ุฃุฏูƒูŠู‡ ุจุณat k
1268
+
1269
+ 318
1270
+ 00:24:38,990 --> 00:24:44,750
1271
+ ูˆูƒู„ ู…ุง ู‚ุจู„ู‡ุง ุงุจุชุฏุงุก ู…ู† ุงู„ basis case ุงู„ู„ูŠ ู‡ูŠ ู…ู†
1272
+
1273
+ 319
1274
+ 00:24:44,750 --> 00:24:50,870
1275
+ ูˆุงุญุฏ ูŠุนู†ูŠ ู…ู† ูˆุงุญุฏ ู„ k ูƒู„ู‡ ุฅุฐุง ูƒุงู† ูƒู„ู‡ true ุฅุฐุง ู‡ุงูŠ
1276
+
1277
+ 320
1278
+ 00:24:50,870 --> 00:24:54,230
1279
+ ุงู„ implication ุฅุฐุง at k ุฒูŠ ูˆุงุญุฏ ุจุฑุถู‡ is true ุจุณ ู‡ูŠ
1280
+
1281
+ 321
1282
+ 00:24:54,230 --> 00:24:57,130
1283
+ ูƒู„ู…ุฉ true ุฅูŠุด ู…ุนู†ุงู‡ุงุŸ ุฅู†ู‡ ู„ุง ูŠุณุงูˆูŠ each other
1284
+
1285
+ 322
1286
+ 00:24:57,130 --> 00:25:01,190
1287
+ ุงุชู†ูŠู†ู‡ูŠ ูƒู…ุงู† ู…ุฑุฉ ุจู†ุนูŠุฏู‡ุง ุนุดุงู† ุจู†ุง ู…ุง ุชู‚ูˆู„ ู…ุงุชุถูŠุนุด
1288
+
1289
+ 323
1290
+ 00:25:01,190 --> 00:25:05,330
1291
+ ู…ู†ูƒูˆุง ุงู„ุฃู…ูˆุฑ ู…ุนู†ุงุชู‡ ุงู†ู‡ ู„ุง ุชุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ู‡ูŠูƒ ู‡ูŠูƒ
1292
+
1293
+ 324
1294
+ 00:25:05,330 --> 00:25:10,570
1295
+ ู…ุนู†ุงู‡ true ุญุณุจ ุงู„ูุฑุถูŠุฉ ุงุชู†ู‰ ุญุณุจ ุงู„ูุฑุถูŠุฉ ุชู…ุงู… ุงู„ุขู†
1296
+
1297
+ 325
1298
+ 00:25:10,570 --> 00:25:16,350
1299
+ ุนุดุงู† ู†ุญุณุจ ุงู„ูƒู„ุงู… ุฏู‡ ู†ุซุจุชู‡ ุนู†ุฏ k ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ู†ุนู…ู„ู‡ุง
1300
+
1301
+ 326
1302
+ 00:25:16,350 --> 00:25:21,570
1303
+ ุจุงู„ contradiction ุจู…ุนู†ู‰ ุฃู†ู‡ ุจุฏูŠ ุฃุซุจุช ุนูƒุณู‡ุง ู„ุง
1304
+
1305
+ 327
1306
+ 00:25:21,570 --> 00:25:29,060
1307
+ ูŠุญู‚ู‚ู‡ุง ุนูƒุณู‡ุง ุฃูŠุด ุฃู†ู‡ ูŠูˆุฌุฏูุฅุฐู† ุตุงุฑุช ุงู„ false ุงู„ุขู†
1308
+
1309
+ 328
1310
+ 00:25:29,060 --> 00:25:36,260
1311
+ ุฅู† ูŠูˆุฌุฏ ู…ุด ู‡ูŠูƒุŸ ุฅูŠุด ูŠูˆุฌุฏุŸ ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ุฅูŠุด ุงุณู…ู‡ุง
1312
+
1313
+ 329
1314
+ 00:25:36,260 --> 00:25:42,480
1315
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ุŸ K ุฒุงุฆุฏ ูˆุงุญุฏ ูุฅุฐู† ุงู„ูุฑุถูŠุฉ ุงู„ุขู† ุฅู† ุฌุฐุฑ
1316
+
1317
+ 330
1318
+ 00:25:42,480 --> 00:25:49,980
1319
+ ุงุชู†ูŠู† ุชุณุงูˆูŠ K ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ B ุตุญุŸ
1320
+
1321
+ 331
1322
+ 00:25:49,980 --> 00:25:56,380
1323
+ ุงู„ู„ูŠ ู‡ูˆ ูุฑุถุช ุงู„ู†ููŠ ูุฑุถู†ุง ุงู„ู†ููŠ ุทูŠุจ ู…ุชุฐูƒุฑูŠู† ุงู„
1324
+
1325
+ 332
1326
+ 00:25:56,380 --> 00:26:00,570
1327
+ contradictionุŸุฃู†ุง ุจูุฑุถ ุฅู†ู‡ ููŠู‡ ูˆ ุจุฎู„ู‘ูŠ ุงู„ุญู„
1328
+
1329
+ 333
1330
+ 00:26:00,570 --> 00:26:07,510
1331
+ ูŠูˆุตู‘ู„ู†ูŠ ู„ู„ุฅุซุจุงุช ูุฅุฐู† ูƒุฃู†ู‡ ุทู„ุนุช ุฌุฐุฑ 2 ุชุณุงูˆูŠ K ุฒุงุฆุฏ
1332
+
1333
+ 334
1334
+ 00:26:07,510 --> 00:26:13,430
1335
+ B ูˆ ุจุนุฏูŠู† ู…ุน ุงู„ุญู„ ู‡ุงุชูุงุฌุฃ ุฃู†ู‡ ู„ุฃ ู‡ูŠ ุฌุฐุฑ 2 ู„ุง ุชุณุงูˆูŠ
1336
+
1337
+ 335
1338
+ 00:26:13,430 --> 00:26:18,470
1339
+ K ุฒุงุฆุฏ B ูุตุงุฑุช ูƒุฃู†ู‡ ุฃู†ุช ุจุชู‚ูˆู„ ุฌุฐุฑ 2 ุชุณุงูˆูŠ K ุฒุงุฆุฏ B
1340
+
1341
+ 336
1342
+ 00:26:18,470 --> 00:26:24,470
1343
+ ูˆุฌุฐุฑ 2 ู„ุง ุชุณุงูˆูŠ K ุฒุงุฆุฏ B ุชู†ุงู‚ุถ ุนู„ู‰ ุทูˆู„ ุชู†ุงู‚ุถ ุชู†ุงู‚ุถ
1344
+
1345
+ 337
1346
+ 00:26:24,470 --> 00:26:28,520
1347
+ ู…ุนู†ุงุชู‡ falseูˆ false ู…ุนู†ุงุชู‡ ุฃู† ุงู„ู†ุธุฑูŠุฉ ู…ู† ุงู„ุฃุณุงุณ
1348
+
1349
+ 338
1350
+ 00:26:28,520 --> 00:26:32,400
1351
+ ูƒุงู†ุช ุตุญูŠุญุฉ ุฃู†ุช ูุฑุถุช ุนูƒุณู‡ุง ูˆ ุนูƒุณู‡ุง ุทุงู„ุน ู…ุชู†ุงู‚ุถ
1352
+
1353
+ 339
1354
+ 00:26:32,400 --> 00:26:37,900
1355
+ ู…ุนู†ุงุชู‡ ู‡ูŠ ุฃุตู„ู‡ุง ุตุญูŠุญ ุฃุตู„ู‡ุง ุตุญูŠุญ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจู†ุนู…ู„ู‡
1356
+
1357
+ 340
1358
+ 00:26:37,900 --> 00:26:42,440
1359
+ ุฃู…ุชู‰ ู„ุฃู† ุฃู†ุง ู…ุด ู‡ู‚ุฏุฑ ุฃุฎุฏ ูƒู„ ุงู„ู‚ูŠู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุนู„ู‰
1360
+
1361
+ 341
1362
+ 00:26:42,440 --> 00:26:47,520
1363
+ BูƒูˆูŠุณ ูˆ ุงูู‚ู‡ ูˆ ุงุซุจุช ุงู† ู‡ูŠ ู„ุง ุชุณุงูˆูŠ ุฒุฏุฑ ุงุชู†ูŠู† ูุงู†ุช
1364
+
1365
+ 342
1366
+ 00:26:47,520 --> 00:26:52,620
1367
+ ุงุด ุจุชู‚ูˆู„ ุจุฏูƒ ุชูุชุฑุถ ุงู†ู‡ ู„ุฃ ู‡ูŠ ุชุณุงูˆูŠ ูˆ ุฎู„ ุงู„ุญู„ ูŠู‚ูˆู„ูƒ
1368
+
1369
+ 343
1370
+ 00:26:52,620 --> 00:26:56,400
1371
+ ู„ุง ูŠุณุงูˆูŠ ู„ุฃู†ู‡ ุจุงู„ .. ุจุงู„ direct ู…ุนู†ุงุชู‡ ุงู†ุช ู…ุญุชุงุฌ
1372
+
1373
+ 344
1374
+ 00:26:56,400 --> 00:26:59,280
1375
+ ุชุฌู‡ุฏ ุงุชุนูˆุถ .. ุงุชุนูˆุถ ููŠู‡ู… ูƒู„ู‡ู… ูˆ ู‡ุฐุง ุงู„ cancel
1376
+
1377
+ 345
1378
+ 00:26:59,280 --> 00:27:01,580
1379
+ introduction ุนู…ู„ู†ุงู‡ ุงู†ุช ู…ุณุชุญูŠู„ ุชุฌู‡ุฏ ุงุชุนูˆุฏ ููŠู‡ู…
1380
+
1381
+ 346
1382
+ 00:27:01,580 --> 00:27:06,620
1383
+ ูƒู„ู‡ู… ู„ุฃ ุงู†ุช ุจุฏูƒ ุชุซุจุช ุงู† ุนูƒุณู‡ู… ุบูŠุฑ ุตุญูŠุญูˆ ู‚ู„ุชู„ูƒูˆุง
1384
+
1385
+ 347
1386
+ 00:27:06,620 --> 00:27:10,660
1387
+ ุฅูŠุงู‡ุง ู‚ุจู„ ู‡ูŠูƒ ุงู†ุช ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุฃุญูŠุงู†ุง ูˆ ููŠ ุงู„ุญู…ุงุฑุงุช
1388
+
1389
+ 348
1390
+ 00:27:10,660 --> 00:27:14,660
1391
+ ุงู„ุงู†ุชุฎุงุจูŠุฉ ู…ุซู„ุง ุงู†ูƒ ุงู†ุช ุชุฑูƒุฒ ุนู„ู‰ ู…ุฒุงูŠุงูƒ ุงู†ุช ู…ู…ูƒู†
1392
+
1393
+ 349
1394
+ 00:27:14,660 --> 00:27:20,220
1395
+ ุชุฑูƒุฒ ุนู„ู‰ ุนูŠูˆุจ ุฎุงุตู…ูƒ ุจุณ ูˆ ุชูƒูˆู† ุณุจูŠู„ ู„ููˆุฒูƒ ูุงู†ุช ุจุฏูˆู†
1396
+
1397
+ 350
1398
+ 00:27:20,220 --> 00:27:24,280
1399
+ ู…ุง ุชุถุทุฑ ุชุฌูˆู„ ุชุชูƒู„ู… ุนู† ุฅู†ุฌุงุฒุงุช ุงู†ุช ุจุชุชูƒู„ู… ุนู† ุฎูŠุจุงุช
1400
+
1401
+ 351
1402
+ 00:27:24,280 --> 00:27:30,580
1403
+ ุฃู…ู„ ู„ู„ุฎุงุตู… ูุชุนุทูŠ ุญู‚ ุฃู† ุงู†ุช ุงู„ุฃูุถู„ ุงู„ููƒุฑุฉ ู†ูุณู‡ุง
1404
+
1405
+ 352
1406
+ 00:27:30,580 --> 00:27:35,460
1407
+ ุชู…ุงู…ูู‡ูŠ ุงู„ู„ูŠ .. ุงู„ู„ูŠ ุจุฏู†ุง ู†ุตู„ู‡ ุงู„ุขู† ุงู†ู‡ ุงู„ุขู† ุจุฏุฃ
1408
+
1409
+ 353
1410
+ 00:27:35,460 --> 00:27:40,440
1411
+ ุงูุชุฑุถ ุงู† ู‡ูŠ ู„ุฃ ูŠูˆุฌุฏ ุงู†ู‡ ูŠูˆุฌุฏ ูุนู„ูŠุงุŒ ุชู…ุงู…ุŸ ูˆุงู„ู„ู‡
1412
+
1413
+ 354
1414
+ 00:27:40,440 --> 00:27:43,740
1415
+ ู„ุงุฌูŠู†ุง ุงู† ุงู„ุญู„ ุถุงู„ ู…ูƒู…ู„ ุงู†ู‡ ุถุงู„ุช ูŠูˆุฌุฏ ู…ุนู†ุงุชู‡ ูุนู„ุง
1416
+
1417
+ 355
1418
+ 00:27:43,740 --> 00:27:47,440
1419
+ ููŠ ู…ุดูƒู„ุฉ ุนู†ุฏู†ุง ููŠ ุงู„ุญู„ ู„ูƒู† ุงู„ุทุจูŠุนูŠ ุงู„ุขู† ูˆ ุงู„ู„ูŠ ุฃู†ุง
1420
+
1421
+ 356
1422
+ 00:27:47,440 --> 00:27:52,980
1423
+ ู…ุชูˆู‚ุนู‡ ุฃู†ู‡ ุฃุซู†ุงุก ุงู„ุญู„ ู‡ู†ุตู„ ู„ู†ู‚ุทุฉ ุงู†ู‡ ู„ุฃ ุงุญู†ุง
1424
+
1425
+ 357
1426
+ 00:27:52,980 --> 00:27:59,600
1427
+ ู†ุงู‚ุถู†ุง ุงู„ูุฑุถูŠุฉ ุจุชุงุนุชู†ุง ูุงู„ุขู† ู‡ุฐู‡ ูุฑุถูŠุฉู‡ุฐู‡ ูุฑุถูŠุฉ ู…ุด
1428
+
1429
+ 358
1430
+ 00:27:59,600 --> 00:28:02,840
1431
+ ู…ุณู…ูˆุญ ุฃุซู†ุงุก ุงู„ุญู„ู‚ุฉ ุชูุงุฌุฃุฉ ุฃู† ุงู„ูุฑุถูŠุฉ ุบู„ุท ุทุจ ุฃู†ุง
1432
+
1433
+ 359
1434
+ 00:28:02,840 --> 00:28:07,060
1435
+ ุจุฏูŠ ูƒู„ ุดุบู„ ุนู„ูŠู‡ุง ูˆุงุถุญุฉ ุชู…ุงู… ู‡ุชู†ุดูˆู ูˆูŠู† ุจุฏู†ุง ู†ุตู„ ููŠ
1436
+
1437
+ 360
1438
+ 00:28:07,060 --> 00:28:12,820
1439
+ ุงู„ุขุฎุฑ ู‡ุงูŠ ูุฑุถูŠุชู†ุง ูƒุชุจู†ุงู‡ุง ุนู„ู‰ ุฌู†ุจ ู‡ู†ุงูƒ ุนุดุงู† ู†ุชุถุงู„
1440
+
1441
+ 361
1442
+ 00:28:12,820 --> 00:28:19,440
1443
+ ู‚ุฏุงู…ู‡ุง ู‡ู†ุง ุฎู„ูŠู†ุง ู†ุจุฏุฃ ู‡ุงูŠ ุงู„ูุฑุถูŠุฉ ูˆุงู„ู„ูŠ ุจุฏู†ุง ู†ู†ุทู„ู‚
1444
+
1445
+ 362
1446
+ 00:28:19,440 --> 00:28:21,880
1447
+ ู…ู†ู‡ุง ุจูƒู„ ุจุณุงุทุฉ ุฑุจุน ุงู„ุทุฑููŠู†
1448
+
1449
+ 363
1450
+ 00:28:26,570 --> 00:28:30,010
1451
+ ุทูŠุจ ู…ุดูƒู„ุฉุŸ ุงู‡ ู‡ู†ุตู„ ู„ู†ูุณ ุงู„ุฌุฏูŠุฏุฉ ุจุณ ุทุฑูŠู‚ุฉ ุงู„ุฅุซุจุงุช
1452
+
1453
+ 364
1454
+ 00:28:30,010 --> 00:28:33,490
1455
+ ู‡ุชุฎุชู„ู ููŠ ุฃุฎุฑู‡ุง ู„ูŠุดุŸ ู„ุฃู† ุฃู†ุง ุจุชูƒู„ู… ุนู† inductive
1456
+
1457
+ 365
1458
+ 00:28:33,490 --> 00:28:37,150
1459
+ ุจุชูƒู„ู… ู…ุด ุนู† contradiction ู„ูƒู† ุงู„ุณุจูŠู„ ูƒุงู† ู‡ูˆ ุงู„
1460
+
1461
+ 366
1462
+ 00:28:37,150 --> 00:28:41,450
1463
+ contradiction ู†ูุณู‡ุง ุชู…ุงู… ูู‡ูŠูˆุตู„ู†ุง ู„ู†ูุณ ุงู„ููƒุฑุฉ ูˆ ู„ูˆ
1464
+
1465
+ 367
1466
+ 00:28:41,450 --> 00:28:45,230
1467
+ ูˆุตู„ู†ุง ููŠู‡ุง ู„ู‚ุตุฉ ุงู„ even ู…ุชุฐูƒุฑูŠู†ู‡ุง ุชู…ุงู… ู‡ู†ุตู„ ู„ู†ูุณ
1468
+
1469
+ 368
1470
+ 00:28:45,230 --> 00:28:48,830
1471
+ ุงู„ููƒุฑุฉ ูุฅุฐุง ุงุชู†ูŠู† ุจูŠู‡ ุชุฑุจูŠุน ุจุชุณุงูˆูŠ ูƒุฒุงุฆุฏ ูˆุงุญุฏ
1472
+
1473
+ 369
1474
+ 00:28:48,830 --> 00:28:54,040
1475
+ ุชุฑุจูŠุน ู…ุนู†ุงุชู‡ ูƒุฒุงุฆุฏ ูˆุงุญุฏ ุชุฑุจูŠุน ู‡ูŠeven ูˆู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†
1476
+
1477
+ 370
1478
+ 00:28:54,040 --> 00:28:58,080
1479
+ ูƒ ุฒุงุฆุฏ ูˆุงุญุฏ even ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ูƒ ุฒุงุฆุฏ ูˆุงุญุฏ ุจู‚ุฏุฑ
1480
+
1481
+ 371
1482
+ 00:28:58,080 --> 00:29:02,500
1483
+ ุงุญุทู‡ ุจุตูŠุบุฉ ุงุชู†ูŠู† ููŠ some integer ููŠ some integer
1484
+
1485
+ 372
1486
+ 00:29:02,500 --> 00:29:06,960
1487
+ ู…ุงุฏุงู… even ู…ุงุฏุงู… ุทู„ุนุช ููŠ ุงู„ู†ู‡ุงูŠุฉ even ุจูƒู„ ุจุณุงุทุฉ
1488
+
1489
+ 373
1490
+ 00:29:06,960 --> 00:29:15,720
1491
+ ุจุนูˆุฏ ู…ูƒุงู†ู‡ุง ููˆู‚ ู‡ู†ุง ูุตุงุฑุช ุงู„ุงุชู†ูŠู† T ูƒู„ู‡ ุชุฑุจูŠุนุจูƒู„
1492
+
1493
+ 374
1494
+ 00:29:15,720 --> 00:29:20,220
1495
+ ุจุณุงุทุฉ ุชุฑุจูŠุน ุฏุฎู„ู‡ ุนู„ู‰ ุงู„ุทุฑููŠู† ูุตุงุฑุช ุฃุฑุจุน ููŠ T ุชุฑุจูŠุน
1496
+
1497
+ 375
1498
+ 00:29:20,220 --> 00:29:24,080
1499
+ ุจุชู‚ุฏุฑ ุจุจุณุงุทุฉ ุฌุฏุง ุชุฎุชุตุฑ ุงู„ุงุชู†ูŠู† ู…ุน ุงู„ุงุชู†ูŠู† ูุจุชุตูŠุฑ B
1500
+
1501
+ 376
1502
+ 00:29:24,080 --> 00:29:28,340
1503
+ ุชุฑุจูŠุน ุจุชุณุงูˆูŠ ุงุชู†ูŠู† T ุชุฑุจูŠุน ูˆู‡ุฐุง ู…ุนู†ุงู‡ ุงู† ุงู„ B
1504
+
1505
+ 377
1506
+ 00:29:28,340 --> 00:29:37,600
1507
+ ุชุฑุจูŠุน even ูŠุนู†ูŠ ุงู„ B even ูŠุนู†ูŠ B even ุชู…ุงู… ุงู„ุขู†
1508
+
1509
+ 378
1510
+ 00:29:37,600 --> 00:29:43,920
1511
+ ุฌุฏุฑ ุงุชู†ูŠู†ุงู„ู„ูŠ ู‡ูŠ k ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ b ู‡ุชุณุงูˆูŠ ุงุชู†ูŠู† T
1512
+
1513
+ 379
1514
+ 00:29:43,920 --> 00:29:52,680
1515
+ ุนู„ู‰ ุงุชู†ูŠู† S ูŠุนู†ูŠ T ุนู„ู‰ S ุทุจ ุญู„ูˆ ุฌุฏุง ุญู„ูˆ ุฌุฏุง ุฌุฏุง
1516
+
1517
+ 380
1518
+ 00:29:52,680 --> 00:30:00,640
1519
+ ุงู„ุงู† ูุฑุถูŠุชู†ุง ุงูŠุด ูƒุงู†ุช ุจุชู‚ูˆู„ ุงู†ู‡ุง ุชุณุงูˆูŠ ุจูŠู†ู…ุง ูุนู„ูŠุง
1520
+
1521
+ 381
1522
+ 00:30:00,640 --> 00:30:09,880
1523
+ ู‡ู†ุง ุงู„ู„ูŠ ุงู„ T ู‡ุฐู‡ ุทู„ุนุช ู†ุต ู‚ูŠู…ุฉ k ุฒุงุฆุฏ ูˆุงุญุฏ ุตุญุŸ
1524
+
1525
+ 382
1526
+ 00:30:10,720 --> 00:30:14,720
1527
+ ุทูŠุจ ุฃู†ุง ูุนู„ุง ุจุชูƒู„ู… ุนู† K ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ B ุงุชูุงุฌุฃุช ูˆ
1528
+
1529
+ 383
1530
+ 00:30:14,720 --> 00:30:21,200
1531
+ ุทุจุนุง ูƒู„ K ูˆ K ู†ุงู‚ุต ูˆุงุญุฏ ู„ุนู†ุฏ ุงุจุชุฏุงุก ู…ู† ุงู„ูˆุงุญุฏ ู‡ุฏูˆู„
1532
+
1533
+ 384
1534
+ 00:30:21,200 --> 00:30:30,120
1535
+ ุฃุณุงุณุง ุจูŠุญู‚ู‚ูˆุง true ูุงู†ุช ุจุฏู„ ู…ุง ุชุญู‚ู‚ ู„ุฅู† K ุฒุงุฆุฏ
1536
+
1537
+ 385
1538
+ 00:30:30,120 --> 00:30:34,420
1539
+ ูˆุงุญุฏ ู‡ูŠ false ุฑูˆุญ ุชุญุทุท ู„ู…ูƒุงู†ู‡ุง K ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰
1540
+
1541
+ 386
1542
+ 00:30:34,420 --> 00:30:39,160
1543
+ ุงุชู†ูŠู† ูˆุงู„ู„ูŠ ู‡ูŠ ุฃุตู„ุง ู…ุดู…ูˆู„ุฉ ู‡ู†ุง ู„ุฃู†ู‡ ุฃูƒูŠุฏ ุฃู‚ู„ ู…ู† K
1544
+
1545
+ 387
1546
+ 00:30:40,980 --> 00:30:48,940
1547
+ ูุถู…ู† ุงู„ strong inductive proof ู„ุฃู†ู‡ุง strong ู…ุนู†ุงุชู‡
1548
+
1549
+ 388
1550
+ 00:30:48,940 --> 00:31:01,040
1551
+ add k ูˆูƒู„ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†ู‡ุง ูˆ ุงู„ T ู‡ูŠ ุฃู‚ู„ ู…ู†ู‡ุง ูุฅุฐุง
1552
+
1553
+ 389
1554
+ 00:31:01,040 --> 00:31:07,520
1555
+ ุฃู†ุช ุฌุงู‡ุฒ ุจุชู‚ูˆู„ ุฃู† add T ู‡ูŠ ุชุณุงูˆูŠ ุฌุฐุฑ 2 ุจูŠู†ู…ุง ุฃู†ุง
1556
+
1557
+ 390
1558
+ 00:31:07,520 --> 00:31:13,600
1559
+ ุนุงุฑู ุญุณุจ ุงู„ูุฑุถูŠุฉ ุงู„ุฃุณุงุณูŠุฉ ุฃู†ู‡ ู„ุฃat k ูุฃู‚ู„ ู„ุง ูŠุณุงูˆูŠ
1560
+
1561
+ 391
1562
+ 00:31:13,600 --> 00:31:19,700
1563
+ ุฌุฏุฑ ุงุชู†ูŠู† ู„ุง ูŠุณุงูˆูŠ ุฌุฏุฑ ุงุชู†ูŠู† ู…ุด ุดูƒู„ strong ู…ุด ุดูƒู„
1564
+
1565
+ 392
1566
+ 00:31:19,700 --> 00:31:25,020
1567
+ strong ุงู†ู‡ ุงู†ุง ุจูุชุฑุถ ุงู†ู‡ ุงู„ู†ุธุฑูŠุฉ ุตุญูŠุญุฉ ู„ูƒู„ ุงู„ู‚ูŠู…
1568
+
1569
+ 393
1570
+ 00:31:25,020 --> 00:31:30,160
1571
+ ุงุจุชุฏุง ู…ู† ุงู„ bases at k ู„ุนู†ุฏ k ุงู„ theorem is true
1572
+
1573
+ 394
1574
+ 00:31:30,160 --> 00:31:35,420
1575
+ is true ูˆุงู„ุงู‡ู… ุงู†ุง ุจุฏูŠ ุงุซุจุช ุงู† k ุฒุงุฆุฏ ูˆุงุญุฏ is true
1576
+
1577
+ 395
1578
+ 00:31:35,420 --> 00:31:40,910
1579
+ ููุฑุถุช ุนูƒุณู‡ุงุฅู† ู‡ูŠ false ูˆูˆุตู„ุช ู…ุนุงูŠุง ุฅู† ู‡ูŠ false ุจุณ
1580
+
1581
+ 396
1582
+ 00:31:40,910 --> 00:31:44,950
1583
+ ู„ู…ุง ุฌูŠุช ุฃุทู„ุน ุนู„ู‰ ุงู„ numerator ููˆู‚ ู„ุฌูŠุช ุฅู† ู‡ูˆ ู…ุด K
1584
+
1585
+ 397
1586
+ 00:31:44,950 --> 00:31:52,210
1587
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุฃู†ุง ุงุฎุชุตุฑุชู‡ ูŠุนู†ูŠ ูุนู„ูŠุง ุงู„ T ู„ุญุงู„ู‡ุง ุนุดุงู†
1588
+
1589
+ 398
1590
+ 00:31:52,210 --> 00:31:56,110
1591
+ ูุนู„ุง ุชูƒูˆู† rational .. ุชูƒูˆู† rational ุงู„ู…ูุฑูˆุถ ู„ูŠู‡
1592
+
1593
+ 399
1594
+ 00:31:56,110 --> 00:32:01,250
1595
+ ู…ุงูŠูƒูˆู†ุด ููŠ ุนูˆุงู„ู…ุดุชุฑูƒุฉ ู‡ูŠ T ุจุณ ู‡ูŠ ู†ุต ุงู„ู‚ูŠู…ุฉ ุทุจ ู†ุต
1596
+
1597
+ 400
1598
+ 00:32:01,250 --> 00:32:08,020
1599
+ ุงู„ู‚ูŠู…ุฉ ู…ุนู†ุงุชู‡ ุฃูƒูŠุฏ ุฃุฌู„ ู…ู† KุฃูƒูŠุฏ ุฃู‚ู„ ู…ู† K ุทุจ ูˆ ุฃู‚ู„
1600
+
1601
+ 401
1602
+ 00:32:08,020 --> 00:32:10,540
1603
+ ู…ู† K ู…ุง ู‡ูŠ ูƒุงู†ุช ุจุงู„ุฃุณุงุณ ู…ุญุทูˆุทุฉ ููŠ ุงู„ .. ููŠ ุงู„ ..
1604
+
1605
+ 402
1606
+ 00:32:10,540 --> 00:32:15,000
1607
+ ููŠ ุงู„ูุฑุถูŠุฉ ุจุชุงุนุชู†ุง ุฃู†ุง ู‚ุงุนุฏ ุจู‚ูˆู„ูƒ ุฅู† ูƒู„ ุงู„ู„ูŠ ุฃู‚ู„
1608
+
1609
+ 403
1610
+ 00:32:15,000 --> 00:32:19,620
1611
+ ู…ู† K ู‡ูˆ true ูุงู†ุช ูƒูŠู ุชุฑูˆุญ ุชู‚ูˆู„ูŠ falseุŸ ูˆ ุงุญู†ุง
1612
+
1613
+ 404
1614
+ 00:32:19,620 --> 00:32:24,420
1615
+ ูุฑุถูŠู†ู‡ ูุฑุถุŒ ูุฑุถ ู…ู† ุนู†ุฏู†ุงุŒ ุงุญู†ุง ู…ู† ุงู„ุฃุณุงุณ ู‚ู„ู†ุง ุฅู†
1616
+
1617
+ 405
1618
+ 00:32:24,420 --> 00:32:28,920
1619
+ ู‡ุฐู‡ is true ูู…ุงุชูŠุด ุชู‚ูˆู„ูŠ false ูƒู…ุงู† ู…ุฑุฉ is true
1620
+
1621
+ 406
1622
+ 00:32:28,920 --> 00:32:34,200
1623
+ ู…ุนู†ุงุชู‡ ุฅู†ู‡ ู„ุง ูŠูˆุฌุฏis true ู…ุนู†ุงุชู‡ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ
1624
+
1625
+ 407
1626
+ 00:32:34,200 --> 00:32:39,080
1627
+ ู…ุนู†ุงุชู‡ ู„ุง ูŠุณุงูˆูŠ ุฌุฐุฑ ุงุชู†ูŠู† ุนุดุงู† ู‡ูŠูƒ ุญุทูŠู†ุง ูƒู†ุง ุชู„ุช
1628
+
1629
+ 408
1630
+ 00:32:39,080 --> 00:32:44,320
1631
+ ุฎุทูˆุท ุทูˆูŠุฉ ุนู„ูŠู‡ุง ูุฑุถูŠุชู†ุง ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ integer ู…ุนู†ุงุชู‡
1632
+
1633
+ 409
1634
+ 00:32:44,320 --> 00:32:49,380
1635
+ ุฃู†ู‡ K ู‡ูˆ ู„ุง ู…ุด integer ูŠู‚ุจู„ ุงู„ู‚ุณู… ุนู„ู‰ P ุนุดุงู† ูŠุนุทูŠูƒ
1636
+
1637
+ 410
1638
+ 00:32:49,380 --> 00:32:53,680
1639
+ ุฌุฐุฑ ุงุชู†ูŠู† ูˆูƒู„ ู…ุง ู‡ูˆ ุฃู‚ู„ ู…ู†ู‡ ู†ูุณ ุงู„ูƒู„ุงู… ุจู…ุง ููŠู‡ู… T
1640
+
1641
+ 411
1642
+ 00:32:53,680 --> 00:33:00,180
1643
+ ู„ุฃู†ู‡ T ุฃู‚ู„ ู…ู† KุตุญุŸ T ุฃู‚ู„ ู…ู† K ูƒู„ู†ุง ู…ุชูู‚ูŠู† ..
1644
+
1645
+ 412
1646
+ 00:33:00,180 --> 00:33:04,660
1647
+ ุฎู„ู‘ูŠู†ูŠ ู†ุนุฏูŠู‡ุง ู†ู‚ุทุฉ ู†ู‚ุทุฉ ู…ุชูู‚ูŠู†ุด ุนู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุฃู† T
1648
+
1649
+ 413
1650
+ 00:33:04,660 --> 00:33:10,580
1651
+ ู‡ุชุทู„ุน ุฃู‚ู„ ู…ู† K ุฃูƒูŠุฏ ุทูŠุจ ุงุญู†ุง ูุฑุถูŠุชู†ุง ุฃุณุงุณุง ุฃู† ูƒู„
1652
+
1653
+ 414
1654
+ 00:33:10,580 --> 00:33:15,900
1655
+ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† K ู„ู…ุง ู†ู‚ุณู…ู‡ุง ุนู„ู‰ B ู„ุง ุชุณุงูˆูŠ ุฌุฐุฑ
1656
+
1657
+ 415
1658
+ 00:33:15,900 --> 00:33:21,020
1659
+ 2 ูƒูŠู ุชุฑุฌุน ุชู‚ูˆู„ ู„ูŠ ุฃู† ู„ุฃ ุชุทู„ุนุช ุจุชุณุงูˆูŠ ุฌุฐุฑ 2 ุตุงุฑ
1660
+
1661
+ 416
1662
+ 00:33:21,020 --> 00:33:25,330
1663
+ ุชู†ุงู‚ุถ .. ุชู†ุงู‚ุถ ูˆุงุถุญ ู‡ู†ุงู‡ู†ุง ุชู†ุงู‚ุถ ูˆุงุถุญ ุฃู†ุช ูุฑุถ
1664
+
1665
+ 417
1666
+ 00:33:25,330 --> 00:33:31,750
1667
+ ูุฑุถูŠุฉ ุฃุซู†ุงุก ุงู„ุญู„ ุทู„ุน ุนูƒุณู‡ุง ุฃู†ุช ูุฑุถ ุฃู†ู‡ ุขูŠุฉ T ุนู„ู‰ B
1668
+
1669
+ 418
1670
+ 00:33:31,750 --> 00:33:35,450
1671
+ ู„ุง ุชุณุงูˆูŠ ุฌุฏุฑ ุงุชู†ูŠู† ุฃุซู†ุงุก ุงู„ุญู„ ู‡ูŠุทู„ุนุช ุฃู† ุงู„ู€ T
1672
+
1673
+ 419
1674
+ 00:33:35,450 --> 00:33:42,050
1675
+ ุจุชุณุงูˆูŠ ุฌุฏุฑ ุงุชู†ูŠู† ูุฅุฐู† ู„ุฃ ู‡ู†ุง ููŠ ุชู†ุงู‚ุถ ู
1676
+
1677
+ 420
1678
+ 00:33:42,050 --> 00:33:45,750
1679
+ automatically ู„ู„ J ุงู„ู„ูŠ ุงุญู†ุง ูุฑุถูŠู† ุดุบู„ู†ุง ุนู„ูŠู‡ุง ู…ู†
1680
+
1681
+ 421
1682
+ 00:33:45,750 --> 00:33:52,600
1683
+ ุงู„ุฃุณุงุณ ู„ูƒู„ J ุฃู‚ู„ ู…ู† Kู„ูƒู„ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ุฃู‚ู„ ู…ู† K ุจู…ุง
1684
+
1685
+ 422
1686
+ 00:33:52,600 --> 00:34:00,880
1687
+ ููŠู‡ู… K ุทุจุนุง ู‡ูŠ ุทุจุนุง ูˆ ูƒู„ู†ุง ู†ุนู„ู… ุฃู† T ู…ุฏุงู… ู‚ุณู…ุช ุนู„ู‰
1688
+
1689
+ 423
1690
+ 00:34:00,880 --> 00:34:06,720
1691
+ 2 ุฃูƒูŠุฏ ู‡ุชูƒูˆู† ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ ููŠ ุฃุญุณู† ุญุงู„ุชู‡ุง ูŠุนู†ูŠ ุฃู†ุช
1692
+
1693
+ 424
1694
+ 00:34:06,720 --> 00:34:09,120
1695
+ ููŠ ุฃุญุณู† ุญุงู„ุชู‡ุง ุฅุฐุง ูƒุงู† ุฃู†ุง ุจุชูƒู„ู… ุนู† T ุฒุงุฆุฏ 1 ุงู„ู„ูŠ
1696
+
1697
+ 425
1698
+ 00:34:09,120 --> 00:34:16,930
1699
+ ู‡ูŠ 2 ูˆ K ูˆุงุญุฏุจุฑุถู‡ ู‡ุชุทู„ุน ุจุชุณุงูˆูŠ K ูุฅุฐุง ุจุฑุถู‡ ุจุธุจุทุด
1700
+
1701
+ 426
1702
+ 00:34:16,930 --> 00:34:21,470
1703
+ ู„ุฃู†ู‡ ุฃู†ุง ู…ู† ุงู„ุฃุณุงุณ ูุฑุถ ู†ู‚ุงุช K ู‡ูŠ ู„ุง ูŠูˆุฌุฏุŒ ุทู„ุน
1704
+
1705
+ 427
1706
+ 00:34:21,470 --> 00:34:28,030
1707
+ ูŠูˆุฌุฏุŒ ูุฅุฐุง ุจุงู„ contradiction ุฃูˆ this contradicts
1708
+
1709
+ 428
1710
+ 00:34:28,030 --> 00:34:30,810
1711
+ the inductive stepุŒ ุงู„ inductive step ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง
1712
+
1713
+ 429
1714
+ 00:34:30,810 --> 00:34:32,710
1715
+ ุนู„ูŠู‡ุง ู‡ูˆ ู‡ูŠ ุงู„ inductive step ุนุดุงู† ู‡ูŠูƒูŠ ุฌุจุชู„ูƒ ุฅูŠู‡ุง
1716
+
1717
+ 430
1718
+ 00:34:32,710 --> 00:34:34,850
1719
+ ู…ู† ุงู„ slide ุงู„ุฃูˆู„ู‰ ูˆุญุทุชู„ูƒ ุฅูŠู‡๏ฟฝ๏ฟฝ ุชุงู†ูŠ ู‡ู†ุงุŒ ู‡ูŠู‡ุง
1720
+
1721
+ 431
1722
+ 00:34:36,460 --> 00:34:41,580
1723
+ ู‡ูŠุญุทูŠู†ู‡ุง ุฌุงุนุช ุจู‚ูˆู„ูƒ ุฅุฐุง ู‡ุฐุง term ุฃูˆ ู‡ุฐุง term ู„ุง
1724
+
1725
+ 432
1726
+ 00:34:41,580 --> 00:34:48,300
1727
+ ูŠุณุงูˆูŠ ุฌุฏุฑ ุงุชู†ูŠู† ูุฅุฐุง ุงู„ K ุฒุงุฆุฏ ูˆุงุญุฏ ู„ุง ูŠุณุงูˆูŠ ุฌุฏุฑ
1728
+
1729
+ 433
1730
+ 00:34:48,300 --> 00:34:51,640
1731
+ ุงุชู†ูŠู† ุงู†ุช ุฑูˆุญุช ูˆู‚ู„ุชู„ูŠ ู„ุฃ ุจุฏูŠ ุฃุนูƒุณ ู‡ุฐู‡ okay ุตุญุชูŠู†
1732
+
1733
+ 434
1734
+ 00:34:51,640 --> 00:34:55,540
1735
+ ุจุณ ุฅุฐุง ุงู†ุนูƒุณุช ู‡ุฐู‡ ุญุณุจ ุงู„ contrapositive ุงู„ู…ูุฑูˆุถ ุฅู†
1736
+
1737
+ 435
1738
+ 00:34:55,540 --> 00:34:59,700
1739
+ ู‡ุฐู‡ ูƒู…ุงู† ุชู†ุนูƒุณ ุตุญุŸ
1740
+
1741
+ 436
1742
+ 00:34:59,700 --> 00:35:06,070
1743
+ ุฅุฐุง ูุฑุถุช ุงู„ุฌุฒุก ู‡ุฐุงูˆุจุฏูŠ ุงุฌูŠุจ ู…ู†ู‡ ู‡ุฐุง ุงู„ุฌุฒุก ู…ุงุนุฑูุชุด
1744
+
1745
+ 437
1746
+ 00:35:06,070 --> 00:35:11,070
1747
+ ุงุด ุจุฑูˆุญ ุจุณูˆูŠ ุจูุฑุถ ุนูƒุณ ู‡ุฐุง ุงู„ุฌุฒุก ูˆ ุจุฌูŠุจ ู…ู†ู‡ ุนูƒุณ ู‡ุฐุง
1748
+
1749
+ 438
1750
+ 00:35:11,070 --> 00:35:16,210
1751
+ ุงู„ุฌุฒุก ู…ุด ู‡ูŠูƒ ุงู„ contrapositive ุทูŠุจ ูุนู„ูŠุง ุงู†ุง ู‡ูŠูƒ
1752
+
1753
+ 439
1754
+ 00:35:16,210 --> 00:35:20,090
1755
+ ุงุนู…ู„ุช ุฑูˆุญุช ุนูƒุณุช ู‡ุฐุง ุงู„ุฌุฒุก ุจุณ ู…ุงุทู„ุนู„ูŠุด ุนูƒุณ ู‡ุฐุง
1756
+
1757
+ 440
1758
+ 00:35:20,090 --> 00:35:26,310
1759
+ ุงู„ุฌุฒุก ู…ุงุทู„ุนู„ูŠุด ู†ูุณ ุงู„ุนูƒุณ ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ู…ุชูˆู‚ุนู‡ ุงู†ุง
1760
+
1761
+ 441
1762
+ 00:35:26,310 --> 00:35:32,630
1763
+ ู„ุฃ ุทู„ุนู„ูŠู‡ ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ุชู…ุงู…ุง ุทู„ุนู„ู†ุง ู…ุด k ุฒุงุฆุฏ ูˆุงุญุฏ
1764
+
1765
+ 442
1766
+ 00:35:34,800 --> 00:35:38,860
1767
+ ูŠุนู†ูŠ ุฃู†ุง ุจู‚ูˆู„ู‡ ุงูุฑุถู„ูŠ at k ุฒุงุฆุฏ ูˆุงุญุฏ ู„ู…ุง ูุฑุถ ูˆ ุญู„
1768
+
1769
+ 443
1770
+ 00:35:38,860 --> 00:35:44,200
1771
+ ูˆ ุทู„ุน ุจุชุณุงูˆูŠ ู…ุด at k ุฒุงุฆุฏ ูˆุงุญุฏ ู„ุฃ ุนู„ู‰ ู‚ูŠู…ุฉ ุงู‚ู„ ู…ู†
1772
+
1773
+ 444
1774
+ 00:35:44,200 --> 00:35:49,360
1775
+ k ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ุงู‚ู„ ู…ู† k ูƒู…ุงู† ูู…ุนู†ู‰ ุฐู„ูƒ ุงู†ู‡ either
1776
+
1777
+ 445
1778
+ 00:35:49,360 --> 00:35:54,480
1779
+ ุงุชู†ูŠู† ู„ูŠุณุช rational ุงูˆ irrational ุงูˆ irrational
1780
+
1781
+ 446
1782
+ 00:35:54,480 --> 00:35:57,660
1783
+ ู‡ุฐุง ุทุฑูŠู‚ุฉ ูˆ ุงู„ contrapositive ุทุฑูŠู‚ุฉ ุจุณ ู‡ุฐุง ุทุจุนุง
1784
+
1785
+ 447
1786
+ 00:35:57,660 --> 00:36:00,900
1787
+ ุทุฑูŠู‚ุฉ strong ูˆ ู‡ูŠ ูˆุงุถุญ ุงู† ุญุชู‰ strong ูƒู…ุงู† ููŠ
1788
+
1789
+ 448
1790
+ 00:36:00,900 --> 00:36:01,660
1791
+ ุงู„ุฃูุจุงุฏ ุชุจุนู‡ุง
1792
+
1793
+ 449
1794
+ 00:36:04,300 --> 00:36:08,480
1795
+ ุงู„ู€ strong ู„ู…ุง ุชูƒูˆู† ุงู†ุช ุงูˆ K ุฒุงุฆุฏ ูˆุงุญุฏ ู„ุง ุชุนุชู…ุฏ
1796
+
1797
+ 450
1798
+ 00:36:08,480 --> 00:36:14,000
1799
+ ุนู„ู‰ K ูู‚ุท ุนุดุงู† ุชุฌูŠุจู‡ุง ู„ุง ุชุนุชู…ุฏ ุนู„ู‰ K ูู‚ุท ู‡ุฐู‡
1800
+
1801
+ 451
1802
+ 00:36:14,000 --> 00:36:18,500
1803
+ ุจุชุฌูŠุจู‡ุง ู„ู…ุง ูŠูƒูˆู† ู…ุซู„ุง ุชุชูƒู„ู… ุนู† ุงู„ primes ู„ุฃู† ุงู„
1804
+
1805
+ 452
1806
+ 00:36:18,500 --> 00:36:21,860
1807
+ primes ุงู†ุช ุนุงุฑู ุงู† ู‡ูŠ ุจุชุนุชู…ุฏ ุนู„ู‰ ูƒู„ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ู…ุด
1808
+
1809
+ 453
1810
+ 00:36:21,860 --> 00:36:26,880
1811
+ ุนู„ู‰ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ู…ุจุงุดุฑ ู„ุฃ ุนู„ู‰ ูƒู„ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ูู‡ุฐู‡
1812
+
1813
+ 454
1814
+ 00:36:26,880 --> 00:36:34,100
1815
+ ุจุชุถุทุฑ ู„ู„ strongู„ู…ุง ุชุชูƒู„ู… ุนู† ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1816
+
1817
+ 455
1818
+ 00:36:34,100 --> 00:36:35,060
1819
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1820
+
1821
+ 456
1822
+ 00:36:35,060 --> 00:36:35,120
1823
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1824
+
1825
+ 457
1826
+ 00:36:35,120 --> 00:36:35,880
1827
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1828
+
1829
+ 458
1830
+ 00:36:35,880 --> 00:36:36,240
1831
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1832
+
1833
+ 459
1834
+ 00:36:36,240 --> 00:36:36,420
1835
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1836
+
1837
+ 460
1838
+ 00:36:36,420 --> 00:36:36,640
1839
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1840
+
1841
+ 461
1842
+ 00:36:36,640 --> 00:36:37,200
1843
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1844
+
1845
+ 462
1846
+ 00:36:37,200 --> 00:36:38,800
1847
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1848
+
1849
+ 463
1850
+ 00:36:38,800 --> 00:36:47,440
1851
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1852
+
1853
+ 464
1854
+ 00:36:47,440 --> 00:36:47,720
1855
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1856
+
1857
+ 465
1858
+ 00:36:57,710 --> 00:37:02,250
1859
+ ู…ุนุชู…ุฏ K ุฒุงุฆุฏ ูˆุงุญุฏ ู…ุนุชู…ุฏ ุนู„ู‰ ู…ุง ู‚ุจู„ K ูููŠ ุงู„ุญุงู„ุฉ
1860
+
1861
+ 466
1862
+ 00:37:02,250 --> 00:37:05,730
1863
+ ู‡ุฐู‡ ุนู„ู‰ ุทูˆู„ ุจุชููƒุฑ ููŠ ุงู„ strong ู…ุจุงุดุฑุฉ ุจุชููƒุฑ ููŠ ู…ูŠู†
1864
+
1865
+ 467
1866
+ 00:37:05,730 --> 00:37:09,350
1867
+ ููŠ ุงู„ strong ุฃู…ุง ุฅุฐุง ูƒุงู† ุงู„ proof K ุฒุงุฆุฏ ูˆุงุญุฏ
1868
+
1869
+ 468
1870
+ 00:37:09,350 --> 00:37:14,730
1871
+ ู…ุจุงุดุฑุฉ ู…ุนุชู…ุฏ ุนู„ู‰ K ุฎู„ุต ุงู„ first principle ูƒุงููŠ ุงู„
1872
+
1873
+ 469
1874
+ 00:37:14,730 --> 00:37:16,990
1875
+ first principle ูƒุงููŠ ู„ูƒู† ู‡ูŠ ู…ุด ุฏุงูŠู…ุง ุงู„ุฏู†ูŠุง ุจุชูƒูˆู†
1876
+
1877
+ 470
1878
+ 00:37:16,990 --> 00:37:20,390
1879
+ ู…ุนุงูƒ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ูŠ ู…ุซู„ ุฌุณู… ุนู„ู‰ ุงุชู†ูŠู† ู„ู…ุง ุชุฌุณู… ุนู„ู‰
1880
+
1881
+ 471
1882
+ 00:37:20,390 --> 00:37:23,950
1883
+ ุงุชู†ูŠู† ู…ุด ู…ุนู†ุงุชู‡ ุงู†ู‡ K ุฒุงุฆุฏ ูˆุงุญุฏ ู„ุง ุชุนุชู…ุฏ ุนู„ู‰ K ูู‚ุท
1884
+
1885
+ 472
1886
+ 00:37:24,610 --> 00:37:29,470
1887
+ ูˆุงู†ู…ุง ุชุนุชู…ุฏ ุนู„ู‰ k ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู† ูˆุงู„ู„ูŠ ุงุญู†ุง
1888
+
1889
+ 473
1890
+ 00:37:29,470 --> 00:37:34,030
1891
+ ุงุตู„ุง ู…ู† ุงู„ุงุณุงุณ ู‚ู„ู†ุง ุงู†ู‡ ุงู‚ู„ ู…ู† k ูุนู„ุง ูˆููŠ ุงู„ู†ู‡ุงูŠุฉ
1892
+
1893
+ 474
1894
+ 00:37:34,030 --> 00:37:38,110
1895
+ ู‡ูŠ ู…ุซุจุชุฉ ุงูˆ ู…ุซุจุชุฉ ุจุงู„ุงุณุงุณ ุถู…ู† ุงู„ู†ุธุฑูŠุฉ ููƒูŠู ุงู†ุง
1896
+
1897
+ 475
1898
+ 00:37:38,110 --> 00:37:42,550
1899
+ ุจู‚ูˆู„ k ุฒุงุฆุฏ ูˆุงุญุฏ ุฎุงุฑุฌ ุงู„ู†ุธุฑูŠุฉ ูˆู‡ูŠ ู…ุนุชู…ุฏุฉ ุนู„ูŠู‡ุง
1900
+
1901
+ 476
1902
+ 00:37:42,550 --> 00:37:45,690
1903
+ ุชู…ุงู…
1904
+
1905
+ 477
1906
+ 00:37:57,260 --> 00:38:01,520
1907
+ ูƒู…ุงู† ู…ุซุงุจ ู‡ู‰
1908
+
1909
+ 478
1910
+ 00:38:01,520 --> 00:38:06,500
1911
+ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ู„ู‰ ู‡ู‰ ู…ูŠู† ุงู„ุชูƒุนูŠุจ ุจุณ ุฌุงู„ูƒ ู‡ู†ุง ุจุชุณุงูˆูŠ
1912
+
1913
+ 479
1914
+ 00:38:06,500 --> 00:38:13,840
1915
+ ุญุงุฌุฉ ุชุงู†ูŠุฉ ู…ุฎุชู„ูุฉ ุฌุงู„ูƒ ู‡ู†ุง ุจุชุณุงูˆูŠ ู…ุฌู…ูˆุนุฉ ุงู„ ends
1916
+
1917
+ 480
1918
+ 00:38:13,840 --> 00:38:20,160
1919
+ ุจุฏูˆู† ุงู„ุชูƒุนูŠุจ ุงู„ู‚ูŠู… ุจุฏูˆู† ุงู„ุชูƒุนูŠุจ ูˆูƒู„ู‡ ุชุฑุจูŠุน ูู‡ู†ุง
1920
+
1921
+ 481
1922
+ 00:38:20,160 --> 00:38:23,520
1923
+ ุงุฎุชู„ูุช ุนู† ุตูŠุบุฉ ุงู„ุชูˆู‡ูŠ ุงุฎุชู„ูุช ุนู† ุตูŠุบุฉ ุงู„ุชูˆู‡ูŠ ุจุฑุถู‡
1924
+
1925
+ 482
1926
+ 00:38:23,520 --> 00:38:28,220
1927
+ ูƒูŠู ู†ู†ุดุทู„ ุนู„ูŠู‡ุง ูˆุฌุงู„ูƒ ุฃู†ู‡ ู…ู† ุฅูŠุด ุจุชุฏุงู‡ุงุชู„ุงุชุฉุŒ ูุฅุฐุง
1928
+
1929
+ 483
1930
+ 00:38:28,220 --> 00:38:32,200
1931
+ ุงู„ basis ุนู† ุชู„ุงุชุฉุŒ ุงู„ basis ุนู„ู‰ ุทูˆู„ ุจุจุฏุฃ ุนู†ุฏ ู…ูŠู†ุŒ
1932
+
1933
+ 484
1934
+ 00:38:32,200 --> 00:38:36,560
1935
+ ุนู† ุชู„ุงุชุฉุŒ ุจุฏู†ุง ู†ู„ุชุฒู… ุจู…ูŠู† ุจ ุงู„ .. ุงู„ where ุงู„ู„ูŠ
1936
+
1937
+ 485
1938
+ 00:38:36,560 --> 00:38:39,780
1939
+ ุจูƒู†ุง ู†ุนุทูŠูƒูŠู‡ุงุŒ ู…ู† ูˆูŠู† ุชุจุฏุฃ ูู‡ูŠ ุนู†ุฏ ุงู„ุชู„ุงุชุฉุŒ ู…ุนู†ุงู‡
1940
+
1941
+ 486
1942
+ 00:38:39,780 --> 00:38:43,980
1943
+ ุฃู†ูƒ ุจุฏูƒ ุชุงุฎุฏ ุฃูˆู„ three terms ู‡ู†ุง ูˆ ุจุฏูƒ ุจุฑุถู‡ ุชุงุฎุฏ
1944
+
1945
+ 487
1946
+ 00:38:43,980 --> 00:38:47,890
1947
+ ุฃูˆู„ three terms ู‡ู†ุงูู‡ูˆ ุงู„ three times ูˆุงุญุฏ ุชู…ุงู†ูŠุฉ
1948
+
1949
+ 488
1950
+ 00:38:47,890 --> 00:38:51,710
1951
+ ูˆ ุณุจุนุฉ ูˆ ุนุดุฑูŠู† ูˆ ู‡ู†ุง ูˆุงุญุฏ ุฒุงุฆุฏ ุงุชู†ูŠู† ุฒุงุฆุฏ ุชู„ุงุชุฉ
1952
+
1953
+ 489
1954
+ 00:38:51,710 --> 00:38:55,050
1955
+ ูƒู„ู‡ ุชุฑุจูŠุน ููƒู„ู‡ ู‡ูŠุทู„ุน ุณูˆุงุก ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ู‡ูŠุทู„ุน ุณุชุฉ ูˆ
1956
+
1957
+ 490
1958
+ 00:38:55,050 --> 00:39:01,330
1959
+ ุชู„ุงุชูŠู† ูุฅุฐู† ุฃูˆู„ ุฎุทูˆุฉ ุตุญูŠุญุฉ ุงู„ุงู† ุงู„ inductive step
1960
+
1961
+ 491
1962
+ 00:39:01,330 --> 00:39:06,530
1963
+ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฏู†ุง ู†ูุฑุถ ุงู† ุงู„ rule true ุตุญูŠุญุฉ at
1964
+
1965
+ 492
1966
+ 00:39:06,530 --> 00:39:12,920
1967
+ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง k ุฒูŠ .. at kat k ุฃูˆ n ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1968
+
1969
+ 493
1970
+ 00:39:12,920 --> 00:39:13,600
1971
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1972
+
1973
+ 494
1974
+ 00:39:13,600 --> 00:39:14,640
1975
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1976
+
1977
+ 495
1978
+ 00:39:14,640 --> 00:39:17,760
1979
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1980
+
1981
+ 496
1982
+ 00:39:17,760 --> 00:39:20,320
1983
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1984
+
1985
+ 497
1986
+ 00:39:20,320 --> 00:39:26,160
1987
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1988
+
1989
+ 498
1990
+ 00:39:26,160 --> 00:39:35,280
1991
+ ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง ุชุงุฎุฏู‡ุง
1992
+
1993
+ 499
1994
+ 00:39:40,180 --> 00:39:44,100
1995
+ ุตุญุŸ ู…ุด ู‡ูŠู‚ูˆู„ ูู‚ุท ู„ุฅู† ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ู†ุตู…ูŠุด ู„ุฅู† ุฒุงุฆุฏ
1996
+
1997
+ 500
1998
+ 00:39:44,100 --> 00:39:46,960
1999
+ ูˆุงุญุฏ ูˆ ุจุนุฏูŠู† ูƒู„ู‡ ุชุฑุจูŠุน ุจุนุฏูŠู† ูƒู„ู‡ ุชุฑุจูŠุน ู‡ุฐุง ุงู„ู„ูŠ
2000
+
2001
+ 501
2002
+ 00:39:46,960 --> 00:39:51,540
2003
+ ุจุฏู†ุง ู†ุซุจุชู‡ ุงู„ุขู† ู‡ุฐุง ุงู„ู„ูŠ ุจุฏู†ุง ู†ุซุจุชู‡ ุงู„ุขู† ุนุณุงุณ ุงู†
2004
+
2005
+ 502
2006
+ 00:39:51,540 --> 00:39:54,460
2007
+ ุงูุตู„ู‡ู… ุงู‚ูˆู„ ุงู„ู„ูŠ ู…ุนู†ุงุชู‡ ุจุฏูŠ ุงู‚ูˆู„ ุงู† ู‡ูŠ ู„ุฅู† ูู‚ุท
2008
+
2009
+ 503
2010
+ 00:39:54,460 --> 00:40:01,340
2011
+ ุชุชูู‚ ู…ุน ุงู„ู†ุธุฑูŠุฉ ู‡ูŠู‡ุง ุฒุงุฆุฏ ุฅู† ุฒุงุฆุฏ ูˆุงุญุฏ ุชูƒูŠุจ ุงู„
2012
+
2013
+ 504
2014
+ 00:40:01,340 --> 00:40:05,940
2015
+ term ุงู„ู„ูŠ ุงู†ุถู ููŠ ุงู„ุทุฑููŠู† ุงุญู†ุง ู…ุชูู‚ูŠู† ุงู† ู‡ุฐุง ุงู„
2016
+
2017
+ 505
2018
+ 00:40:05,940 --> 00:40:19,980
2019
+ termูŠุณุงูˆูŠ ู‡ุฐุง ุงู„ term ู†ุธุฑูŠุง at n ุทูŠุจ ู‡ู†ุถูŠู k ุงูˆ n
2020
+
2021
+ 506
2022
+ 00:40:19,980 --> 00:40:28,060
2023
+ ุฒุงุฆุฏ ูˆุงุญุฏ ู„ู„ุทุฑููŠู† ู‡ูŠ ู‡ู†ุง ู…ุถุงูุฉ ูˆู‡ูŠ ู‡ู†ุง ู…ุถุงูุฉ ู‡ู†ุง
2024
+
2025
+ 507
2026
+ 00:40:28,060 --> 00:40:31,020
2027
+ ุงุถูŠูุช ูˆ ู‡ู†ุง ุงุถูŠูุช ุทูŠุจ ุนุดุงู† ุงู‚ูˆู„ ุงู†ู‡ ูุนู„ุง ุชู…
2028
+
2029
+ 508
2030
+ 00:40:31,020 --> 00:40:34,620
2031
+ ุงุถุงูุชู‡ุง ูˆ ุงู„ rule ู‡ุชุธู„ ุตุญ ุงู„ู…ูุฑูˆุถ ูŠุธู‡ุฑ ุนู†ุฏูŠ ู‡ุฐุง ุงู„
2032
+
2033
+ 509
2034
+ 00:40:34,620 --> 00:40:34,820
2035
+ term
2036
+
2037
+ 510
2038
+ 00:40:38,210 --> 00:40:42,590
2039
+ ู…ูุฑูˆุถ ุจุนุฏ ุนู…ู„ูŠุฉ .. ุนู…ู„ูŠุงุช ุฑูŠุงุถูŠุฉ ุฃุนู…ู„ู‡ุง ูŠุธู‡ุฑ ุนู†ุฏูŠ
2040
+
2041
+ 511
2042
+ 00:40:42,590 --> 00:40:48,090
2043
+ ู‡ุฐุง ุงู„ term ู‡ู„ ุจู†ูู‡ู…ุŸ ู‡ู„ ุงุญู†ุง .. ู„ุงุฒู… ูŠุธู‡ุฑ ุนู†ุฏูƒุŸ
2044
+
2045
+ 512
2046
+ 00:40:48,090 --> 00:40:53,330
2047
+ ุตุญุŸ ุชู…ุงู… ู†ู…ุณูƒ ุงู„ุขู† ุงู„ุทุฑู ุงู„ู„ูŠ ุจุฏู†ุง ู†ุจุฏุฃ ู†ุดุชุบู„ ุนู„ูŠู‡
2048
+
2049
+ 513
2050
+ 00:40:53,330 --> 00:41:02,490
2051
+ ุฃุญูˆู„ ูˆ ุฃุบูŠุฑ ูˆ ุฃุจุฏู„ ููŠู‡ ุจุญูŠุซ ุฃู†ู‡ ูŠุทู„ุน ู‡ูŠูƒ ุจูƒู„
2052
+
2053
+ 514
2054
+ 00:41:02,490 --> 00:41:06,090
2055
+ ุจุณุงุทุฉ ู‡ุฐุง
2056
+
2057
+ 515
2058
+ 00:41:06,090 --> 00:41:06,490
2059
+ ุงู„ term
2060
+
2061
+ 516
2062
+ 00:41:09,270 --> 00:41:13,810
2063
+ Euler ุฑุฌุงู„ู†ุง ุฌุง ุฅูŠุด ุจูŠุณุงูˆูŠุŸ
2064
+
2065
+ 517
2066
+ 00:41:13,810 --> 00:41:16,890
2067
+ ุตุญุŸ
2068
+
2069
+ 518
2070
+ 00:41:16,890 --> 00:41:22,130
2071
+ ุฅูŠุด ู…ุนู„ู‚ุŒ ู…ู† ูˆุงุญุฏ to N ุฎู„ุงุตุŒ ู‡ุงูŠ ู…ู† N ูˆุงุญุฏ ู„ N
2072
+
2073
+ 519
2074
+ 00:41:22,130 --> 00:41:26,770
2075
+ Euler ุฃุจูˆ ุชู†ุตุฑ ุณู†ุฌู„ู†ุง ุฅูŠุงู‡ุงุŒ ู…ุด ุฃุจูˆ ุชู†ุตุฑ ุณู†ุฌู„ู†ุง
2076
+
2077
+ 520
2078
+ 00:41:26,770 --> 00:41:30,830
2079
+ ุฅูŠุงู‡ุง ุทูŠุจ N ููŠ N ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู†ุŒ ุฎู„ุงุตุŒ ูƒู„ู‡
2080
+
2081
+ 521
2082
+ 00:41:30,830 --> 00:41:34,290
2083
+ ุจุนุฏูŠู† ุชุฑุจูŠุนุŒ okay ุฑุจู‘ุนู†ุง ุงู„ุชุฑุจูŠุน ุงู„ุฃู† ู‡ุฐู‡ ุตุงุฑุช
2084
+
2085
+ 522
2086
+ 00:41:34,290 --> 00:41:39,680
2087
+ ู…ุดุงุจู‡ุฉ ู„ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุŒ ุชุงู†ูŠ ู…ุซุงู„ ุฃุฎุฏู†ุงู‡ุฎู„ุงุต
2088
+
2089
+ 523
2090
+ 00:41:39,680 --> 00:41:44,320
2091
+ ุจุชู‡ูŠุฃู„ูŠ ูˆุงุถุญุฉ ุฌุฏุง ุงู„ุงู† n ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ู†ุง ุงู†ุช ู‡ุชุฏุฎู„
2092
+
2093
+ 524
2094
+ 00:41:44,320 --> 00:41:46,920
2095
+ ุงู„ุชุฑุจูŠู‡ ูˆ ู‡ุชุตูŠุฑ ุนู„ู‰ ุฃุฑุจุนุฉ ุฃุฎุฏู†ุงู‡ุง ุทูˆู‰ ู„ุณู‡ ู‚ุจู„ ุดูˆูŠุฉ
2096
+
2097
+ 525
2098
+ 00:41:46,920 --> 00:41:49,700
2099
+ ู…ุง ุฃุฎุฏูŠู†ุงู‡ุง ูุตุงุฑุช ุฒูŠู‡ุง ุฒูŠ ุงู…ุชุญุงู† ุณุงุจู‚ ู„ู‡
2100
+
2101
+ 526
2102
+ 00:41:49,700 --> 00:41:54,180
2103
+ ูุงู„ุงู…ุชุญุงู†ุงุช ุจุชูŠุฌูŠ ู…ู† ุจุนุถ ุจุณู…ุน ู…ุน ุจุนุถ ุงู„ ..
2104
+
2105
+ 527
2106
+ 00:41:55,270 --> 00:41:59,550
2107
+ modifications ู…ุน ุจุนุถ ุงู„ุชุนุฏูŠู„ุงุช ุงู„ู„ู‰ ู…ู…ูƒู† ู†ุญุทู‡ุง ุนู„ู‰
2108
+
2109
+ 528
2110
+ 00:41:59,550 --> 00:42:03,810
2111
+ ุงู„ .. ุนู„ู‰ ุงู„ุณุคุงู„ ุงู„ุจุงุฌูŠ ุฃุทุจุนุงุช ุจุชุงุนูŠ ุงู„ู„ู‰ ุฃุฎุฏู†ุงู‡ุง
2112
+
2113
+ 529
2114
+ 00:42:03,810 --> 00:42:08,630
2115
+ ุณุงุจู‚ุง ุฃุตุจุญ ู…ุงููŠุด ุตุนูˆุจุฉ ููŠู‡ ุชูƒุนูŠุจ ู‡ุฏู‰ ุจุชู„ุฒู…ู†ูŠุด
2116
+
2117
+ 530
2118
+ 00:42:08,630 --> 00:42:15,290
2119
+ ุจุชุฏูŠู‡ุง ุชุฑุจูŠุน ูุญูˆู„ู†ุงู‡ุง ู„ู„ุชุฑุจูŠุน ูˆูˆุญุฏู†ุง ุงู„ู…ู‚ุงู…ุงุช ุนุดุงู†
2120
+
2121
+ 531
2122
+ 00:42:15,290 --> 00:42:20,280
2123
+ ุจุนุฏูŠู† ู†ุฑุฌุน ู„ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ุฃูˆู„ู‰ูˆุตู„ู†ุง ู„ู„ููƒุฑุฉ ู„ N ุฒุงุฆุฏ
2124
+
2125
+ 532
2126
+ 00:42:20,280 --> 00:42:23,780
2127
+ ูˆุงุญุฏ ูˆ N ุฒุงุฆุฏ ุงุชู†ูŠู† ุนู„ู‰ ุงุชู†ูŠู† ู‡ุฐุง ุงู„ term ุญุณุจ
2128
+
2129
+ 533
2130
+ 00:42:23,780 --> 00:42:29,960
2131
+ Euler ู‡ูˆ ู…ุฌู…ูˆุน ู„ ุนู†ุฏ N ุฒุงุฆุฏ ูˆุงุญุฏ ู„ู…ุง ุชุงุฎุฏ ู‡ุฐุง
2132
+
2133
+ 534
2134
+ 00:42:29,960 --> 00:42:38,150
2135
+ ู„ุญุงู„ู‡ ุฌูˆุง ู„ุงุญุธ ู„ู…ุง ูƒุงู†ุช ู„ N ู‚ู„ู†ุง N ููŠ ุงู„ู„ูŠ ุจุนุฏู‡ุงin
2136
+
2137
+ 535
2138
+ 00:42:38,150 --> 00:42:41,370
2139
+ ููŠ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุนู„ู‰ 2 ู‡ู†ุง in ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ุงู„ู„ูŠ ุจุนุฏู‡ุง
2140
+
2141
+ 536
2142
+ 00:42:41,370 --> 00:42:45,410
2143
+ ุนู„ู‰ 2 ุจู†ุฑุฌุน ุจู†ุณุชุนูŠุฏ ู…ูƒุงู†ู‡ุง ู…ุนู†ุงุชู‡ ุงู† ู‡ู†ุง ู†ุชูƒู„ู… ุนู†
2144
+
2145
+ 537
2146
+ 00:42:45,410 --> 00:42:51,790
2147
+ summation ูˆุงุญุฏ to n ุฒุงุฆุฏ ูˆุงุญุฏ ุชุฑุจูŠุน ู‡ูŠุง ุงู„ู„ูŠ ุงุญู†ุง
2148
+
2149
+ 538
2150
+ 00:42:51,790 --> 00:42:57,970
2151
+ ุจุฏู†ุง ู‡ูŠ ุฃุณุงุณุง ุงุณุชุฎุฏู…ู†ุง
2152
+
2153
+ 539
2154
+ 00:42:57,970 --> 00:43:00,050
2155
+ Euler track
2156
+
2157
+ 540
2158
+ 00:43:02,040 --> 00:43:06,380
2159
+ ุฎู„ุงุต ุงุถุญูƒูŠ ูƒู…ุงู† ู…ุซุงู„ ุจุงู„ู…ุฑุฉ ู…ุน ู†ูˆุฌุช .. ุงู‡ ู…ุน ู†ูˆุฌุช
2160
+
2161
+ 541
2162
+ 00:43:06,380 --> 00:43:10,540
2163
+ ุฏูŠ ูƒูˆูŠุณ ู„ุฃ ู…ุณูˆูˆุฏูƒูˆุง ุญุฑุงุฑุชูƒูˆุง ุฃุซุฑุฉ ู…ู†ูŠุญุฉ .. ุฒูŠุงุฏุฉ
2164
+
2165
+ 542
2166
+ 00:43:10,540 --> 00:43:11,800
2167
+ .. ุทูŠุจ
2168
+
2169
+ 543
2170
+ 00:43:16,500 --> 00:43:21,700
2171
+ ุจุงู„mathematical induction ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ู„ูƒู„ ู‚ูŠู… H ูˆ
2172
+
2173
+ 544
2174
+ 00:43:21,700 --> 00:43:26,860
2175
+ ุงู„ู„ูŠ ู‡ูŠ ุฃูƒุจุฑ ู…ู† minus one ุจุฏู†ุง ู†ุซุจุช ุฃู†ู‡ ูˆุงุญุฏ ุฒุงุฆุฏ
2176
+
2177
+ 545
2178
+ 00:43:26,860 --> 00:43:33,880
2179
+ N ููŠ H ุฏุงุฆู…ุง ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุฒุงุฆุฏ H ูƒู„ู‡ to
2180
+
2181
+ 546
2182
+ 00:43:33,880 --> 00:43:40,580
2183
+ the power N for all non negative integers ุจู…ุนู†ู‰
2184
+
2185
+ 547
2186
+ 00:43:40,580 --> 00:43:45,910
2187
+ Zeroู ุงู„ู€ non negative ูŠุนู†ูŠ ู…ู† zero ุงู„ natural
2188
+
2189
+ 548
2190
+ 00:43:45,910 --> 00:43:49,670
2191
+ number ู…ู† ุงู„ุขุฎุฑ zero ูˆ positive zero ูˆ positive
2192
+
2193
+ 549
2194
+ 00:43:49,670 --> 00:43:53,090
2195
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ natural number ุทูŠุจ business ุชุจุน ุทูˆู„
2196
+
2197
+ 550
2198
+ 00:43:53,090 --> 00:43:57,910
2199
+ ู‡ุชูƒูˆู† ุนู†ุฏ ุงู„ zero ู‡ูŠ ุฃู‚ู„ ู‚ูŠู…ุฉ ู…ู…ูƒู† ุฃูˆู„ ู‚ูŠู…ุฉ ุญุณุจ ุงู„
2200
+
2201
+ 551
2202
+ 00:43:57,910 --> 00:44:01,350
2203
+ non negative ุจู†ุนูˆุฏ ููŠู‡ุง ู…ุงุนุชู‚ุฏุด ู‡ูŠูƒูˆู† ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ
2204
+
2205
+ 552
2206
+ 00:44:01,350 --> 00:44:08,390
2207
+ ููŠู‡ุง ูˆุงุญุฏ ูˆ ู‡ู†ุง ุตูุฑ ูุฎู„ุงุต ู‡ุฐู‡ ุฏู„ุช ูˆุงุญุฏ ุงู„ term ู‡ู†ุง
2208
+
2209
+ 553
2210
+ 00:44:08,390 --> 00:44:13,740
2211
+ ูˆุงุญุฏ ุฒุงุฆุฏ Hุฌุฏ ู…ุง ุชูƒูˆู† ู‚ูŠู…ุฉ H ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู‡ ุชุชุจุงุฑ
2212
+
2213
+ 554
2214
+ 00:44:13,740 --> 00:44:17,920
2215
+ Zero ูŠุนู†ูŠ ูˆุงุญุฏ ูŠุนู†ูŠ ูˆุงุญุฏ ูุจุทู„ุน ูˆุงุญุฏ ุจูŠุณูˆุง ูˆุงุญุฏ ูˆ
2216
+
2217
+ 555
2218
+ 00:44:17,920 --> 00:44:22,660
2219
+ ุงู„ู…ุณุงูˆุฉ ู‡ูŠ ุถู…ู† ุงู„ rule ูุฅุฐุง ู…ุงุดูŠ ุฅุฐุง ุงู„ business
2220
+
2221
+ 556
2222
+ 00:44:22,660 --> 00:44:28,060
2223
+ step success ุงู†ุฌุญู†ุง ููŠู‡ุง ุงู„ inductive step ุจุฑุถู‡
2224
+
2225
+ 557
2226
+ 00:44:28,060 --> 00:44:32,600
2227
+ ุจูƒู„ ุจุณุงุทุฉ ุจุฏู†ุง ู†ุชูƒู„ู… ุจุนุฏูƒ ุนู„ู‰ N ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ู‡ู†ุง
2228
+
2229
+ 558
2230
+ 00:44:32,600 --> 00:44:37,120
2231
+ ุจุฑุถู‡ N ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ู†ุดูˆู ู‡ู„ ุงู„ูƒู„ุงู… ุฏู‡ ุตุญูŠุญ ุงูˆ .. ุงูˆ
2232
+
2233
+ 559
2234
+ 00:44:37,120 --> 00:44:43,780
2235
+ ู„ุฃูู‡ู†ุง ู‡ุฐู‡ ุจุฏุฃ ุงูุชุฑุถ ุงู† ู‡ูŠ ุตุญูŠุญุฉ ุงู„ term ู‡ุฐุง ุตุญูŠุญ
2236
+
2237
+ 560
2238
+ 00:44:43,780 --> 00:44:51,840
2239
+ ู„ ุนู†ุฏ n ู„ n ุตุญูŠุญ ู„ูƒู„ ู‚ูŠู… n ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุตูุฑ
2240
+
2241
+ 561
2242
+ 00:44:51,840 --> 00:44:58,900
2243
+ ุชู…ุงู… ุงู„ุขู† ุจู†ุฌุฑุจ ุนู†ุฏ n ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ n ุฒุงุฆุฏ ุงูˆ ุนููˆุง
2244
+
2245
+ 562
2246
+ 00:44:58,900 --> 00:45:04,240
2247
+ ููˆู‚ n ุฒุงุฆุฏ ูˆุงุญุฏ ุงูˆู„
2248
+
2249
+ 563
2250
+ 00:45:04,240 --> 00:45:09,090
2251
+ ุดุบู„ ุงู„ู„ูŠ ู‡ู†ุนู…ู„ู‡ุง ูƒู„ู†ุง ุนุงุฑููŠู† ุงู† ูˆุงุญุฏุฒุงุฆุฏ H ู‡ุฐู‡
2252
+
2253
+ 564
2254
+ 00:45:09,090 --> 00:45:18,430
2255
+ ูˆุญุณุจ ู‚ูŠู…ุฉ H ูˆูŠู† HุŸ ุตุญุŸ ูุฅุฐู† ุฏุงูŠู…ุง ุฃูƒุจุฑ ู…ู† ุตูุฑ H
2256
+
2257
+ 565
2258
+ 00:45:18,430 --> 00:45:23,390
2259
+ ุฏุงูŠู…ุง ุฃูƒุจุฑ ู…ู† ุณุงู„ุจ ูˆุงุญุฏ ุทูŠุจ ู‡ูŠ ู…ุฌู…ูˆุนุฉ ู…ุน ูˆุงุญุฏ ๏ฟฝ๏ฟฝุนู†ูŠ
2260
+
2261
+ 566
2262
+ 00:45:23,390 --> 00:45:26,850
2263
+ ุฏุงูŠู…ุง ุฃูƒุจุฑ ู…ู† ุตูุฑ ู…ู‚ุชู†ุนูŠู†ุŸ ุนุดุงู† ู„ุฃู†ู‡ ู‡ุฐุง ุญู†ุญุชุงุฌู‡
2264
+
2265
+ 567
2266
+ 00:45:26,850 --> 00:45:29,910
2267
+ ููŠ ุงู„ุฅุซุจุงุช ุงู„ุขู† ุญู†ุญุชุงุฌู‡ ููŠ ุงู„ุฅุซุจุงุช ูุฅุฐุง ุงู„
2268
+
2269
+ 568
2270
+ 00:45:29,910 --> 00:45:35,100
2271
+ condition ู‡ุฐุง ู…ู‡ู… ุฌุฏุง ูƒุงู† ููŠ ุงู„ุณุคุงู„ู…ู‡ู… ุฌุฏุง ูƒุงู† ููŠ
2272
+
2273
+ 569
2274
+ 00:45:35,100 --> 00:45:39,420
2275
+ ุงู„ุณุคุงู„ ูˆูƒู„ ุดุบู„ู†ุง ุนู„ู‰ N ู…ุงุญุฏุด ูŠุฑูˆุญ ุงู„ุฃุฎุจุท ุฒูŠ ู…ุง ููŠ
2276
+
2277
+ 570
2278
+ 00:45:39,420 --> 00:45:42,520
2279
+ ูˆุฌุฏู‡ุง ููŠ ุงู„ุฃุณุฆู„ุฉ ู„ุฌูˆุง ุฃู† ููŠ ู‡ู†ุง ู…ุชุบูŠุฑูŠู† ููŠ ุนู†ุฏูƒ
2280
+
2281
+ 571
2282
+ 00:45:42,520 --> 00:45:45,960
2283
+ ุงูุชุฑุถูˆุง ุฃู† ุงู„ H ูƒู…ุงู† ู…ุชุบูŠุฑ ูุจุฏุฃูˆุง ูŠุดุชุบู„ูˆุง ุนู„ู‰ ุงู„ H
2284
+
2285
+ 572
2286
+ 00:45:45,960 --> 00:45:49,800
2287
+ ูˆ ุจุฏุคูˆู‡ุง ู…ู† ุณุงู„ุจ ูˆุงุญุฏ ูˆ ู†ุณูŠู†ุง ุฃู†ู‡ ู„ุฃ ุดุบู„ู†ุง ุนู„ู‰ N
2288
+
2289
+ 573
2290
+ 00:45:49,800 --> 00:45:55,700
2291
+ ู…ุด ุนู„ู‰ ุงู„ H ุชู…ุงู… ุงู„ุขู† ุจูƒู„ ุจุณุงุทุฉ ู‡ุฐุง ุงู„ term ุฒูŠ ู…ุง
2292
+
2293
+ 574
2294
+ 00:45:55,700 --> 00:45:59,440
2295
+ ู‡ูˆ ู‡ู†ุง ุจุชูุตู„ู‡ู…
2296
+
2297
+ 575
2298
+ 00:46:00,800 --> 00:46:03,760
2299
+ in ู„ุญุงู„ ูˆ ุงู„ term ุงู„ู„ูŠ ุถุฑุจุชู‡ ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„
2300
+
2301
+ 576
2302
+ 00:46:03,760 --> 00:46:07,940
2303
+ term ุงู„ู„ูŠ ุฎู„ุงู‡ุง ุฒุงุฆุฏ ูˆุงุญุฏ ุงู„ู„ูŠ ุฎู„ุงู‡ุง ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ
2304
+
2305
+ 577
2306
+ 00:46:07,940 --> 00:46:12,040
2307
+ ูƒู„ู†ุง ุนุงุฑููŠู† ุงู† ู‡ุฐุง ุงูƒุจุฑ ู…ู† ุตูุฑ ู…ู‡ู…ุฉ ุงู„ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ
2308
+
2309
+ 578
2310
+ 00:46:12,040 --> 00:46:17,860
2311
+ ุฌุฏุง ุงู„ู…ุนู„ูˆู…ุฉ ุนุดุงู† ููŠ ุงู„ุขุฎุฑ ุชู‚ูˆู„ูŠ ุงู† ุงู„ in ุชุฑุจูŠุน
2312
+
2313
+ 579
2314
+ 00:46:17,860 --> 00:46:21,980
2315
+ ู†ุงุฎุฏู‡ุง ุดูˆูŠุฉ ุดูˆูŠุฉ ู„ุฃู† ูƒู„ู†ุง ุนุงุฑููŠู† ุงู† ูˆุงุญุฏ ุฒุงุฆุฏ h to
2316
+
2317
+ 580
2318
+ 00:46:21,980 --> 00:46:27,940
2319
+ the power n ู‡ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ุงูˆ ุชุณุงูˆูŠ ูˆุงุญุฏ ุฒุงุฆุฏ in h
2320
+
2321
+ 581
2322
+ 00:46:27,940 --> 00:46:35,020
2323
+ ู…ุฏุงู… ุงู†ุง ุจุชูƒู„ู… ุนู†ู‡ู‚ูŠู…ุฉ ุฃูƒุจุฑ ู…ู† ุณุงู„ุจ ูˆุงุญุฏ ูˆ ุจุงุชูƒู„ู…
2324
+
2325
+ 582
2326
+ 00:46:35,020 --> 00:46:40,240
2327
+ ุนู† n ู…ู† ุตูุฑ ููŠ ุฃูƒุจุฑ ูŠุนู†ูŠ positive ุงู„ู‚ูŠู…ุฉ positive
2328
+
2329
+ 583
2330
+ 00:46:40,240 --> 00:46:44,220
2331
+ ุจุชุงุนุฉ n ูุฏุงุฆู…ุง ู‡ุชู„ุงู‚ูŠ ุงู† ู‡ุฐุง ุงู„ term ุตุญูŠุญ ูˆุงุญุฏ
2332
+
2333
+ 584
2334
+ 00:46:44,220 --> 00:46:50,800
2335
+ ุฒุงุฆุฏ h to the power nู‡ุชูƒูˆู† ุฏุงูŠู…ุง ุงูƒุจุฑ ู…ู† ุงูˆ ูŠุณุงูˆูŠ
2336
+
2337
+ 585
2338
+ 00:46:50,800 --> 00:46:55,500
2339
+ ูˆุงุญุฏ ุฒุงุฆุฏ N ููŠ H ููŠ H ู‡ู†ุณุชููŠุฏ ู…ู†ู‡ุง ู‡ู†ุดูˆู ู‡ู†ุณุชููŠุฏ
2340
+
2341
+ 586
2342
+ 00:46:55,500 --> 00:46:58,220
2343
+ ู…ู†ู‡ุง ููŠ ู‡ุฐุง ุงู„ term ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ู‡ู†ุง ู„ุฃู†ู‡
2344
+
2345
+ 587
2346
+ 00:46:58,220 --> 00:47:02,860
2347
+ ุจุจุณุงุทุฉ ู„ูˆ ุจุฏูƒ ุงุชุนูˆุฏ ู…ูƒุงู†ู‡ ู…ุนู†ุงุชู‡ ุงู†ุช ุนุงุฑู ุงู†ู‡ ู‡ุฐุง
2348
+
2349
+ 588
2350
+ 00:47:02,860 --> 00:47:09,580
2351
+ ุงู„ term ู‡ูŠูƒูˆู† ุงูƒุจุฑ ูุฅุฐุง ู‡ุงูŠ ุงู„ term ู‡ุฐุง ู‡ูˆ ุงูƒุจุฑ ู…ู†
2352
+
2353
+ 589
2354
+ 00:47:09,580 --> 00:47:17,340
2355
+ ู„ูˆ ุงุณุชุนุงุฏุชุนู† ูˆุงุญุฏ .. ุงู‡ ู…ุธุจูˆุท ูˆุงุญุฏ ุฒุงุฆุฏ H to the
2356
+
2357
+ 590
2358
+ 00:47:17,340 --> 00:47:27,220
2359
+ power N ุจูˆุงุญุฏ ุฒุงุฆุฏ N ููŠ H ู„ุง ู‡ุฐูŠ ุชุญุงู„ู ุฏู‡ ุงุซุจุงุชุŸ
2360
+
2361
+ 591
2362
+ 00:47:27,220 --> 00:47:33,220
2363
+ ู„ูŠุดุŸ ุจุฏูƒ
2364
+
2365
+ 592
2366
+ 00:47:33,220 --> 00:47:36,160
2367
+ ู‡ูŠู‡ุง ุณุงู„ุจุฉุŸ ุฌุฏุด ุจุฏู‡ุง ุชูƒูˆู† ุณุงู„ุจุฉุŸ ู‡ูŠ ุงูƒุจุฑ ู…ู† ุณุงู„ุจ
2368
+
2369
+ 593
2370
+ 00:47:36,160 --> 00:47:39,300
2371
+ ูˆุงุญุฏ ุงูƒุจุฑ ู…ู† ุณุงู„ุจ ูˆุงุญุฏ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† ุนู†ุฏูƒ ุงู„
2372
+
2373
+ 594
2374
+ 00:47:39,300 --> 00:47:41,100
2375
+ term ุฏู‡ ุฏุงูŠู…ุง ุงูƒุจุฑ ู…ู† ุตูุฑ
2376
+
2377
+ 595
2378
+ 00:47:45,090 --> 00:47:49,070
2379
+ ู‡ูŠ ุงู„ูุฑู‚ูŠุฉ ููŠ ุงู„ N ู‡ู†ุง ู‡ู†ุง ุงู†ุช ุจุชุชูƒู„ู… ุฏุงุฆู…ุง ุงูƒุจุฑ
2380
+
2381
+ 596
2382
+ 00:47:49,070 --> 00:47:55,710
2383
+ ู…ู† ุตูุฑ ุฏุงุฆู…ุง ุงูƒุจุฑ ู…ู† ุตูุฑ ูู…ู†ุชู‡ูŠ ุงู„ุฌุซุฉ ูŠุนู†ูŠ ุฏุงุฆู…ุง
2384
+
2385
+ 597
2386
+ 00:47:55,710 --> 00:48:00,430
2387
+ ุงูƒุจุฑ ู…ู† ุตูุฑ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ู‡ู†ุง ุญุชู‰ ู„ูˆ ุจุฏูƒ ุชูุชุฑุถ ุงู†
2388
+
2389
+ 598
2390
+ 00:48:00,430 --> 00:48:04,630
2391
+ ู‡ูŠ ููŠู‡ุง ุฌุฒุก ุณุงู„ุจ ููŠู‡ุง ุฌุฒุก ุณุงู„ุจ ู…ุนู†ุงุชู‡ ุจุงู„ุนูƒุณ ูุฏูŠ
2392
+
2393
+ 599
2394
+ 00:48:04,630 --> 00:48:09,150
2395
+ ู‚ุงุนุฏุฉ ุจุชุฌู„ ุงู†ุช ุงู„ู„ูŠ ุจู‡ู…ูƒ ู‡ุฐุง ุงู„ term ุนุดุงู† ู‡ูŠูƒ ู‡ูˆ
2396
+
2397
+ 600
2398
+ 00:48:09,150 --> 00:48:13,980
2399
+ ุฏู‡ ุงู„ู„ูŠ ุนู„ู‚ู†ุง ุนู†ู‡ ู‡ู†ุง ุนู„ู‚ู†ุง ููŠู‡ ุนู„ู‚ ุนู„ูŠู‡ุนุดุงู† ู‡ูŠูƒ
2400
+
2401
+ 601
2402
+ 00:48:13,980 --> 00:48:18,760
2403
+ ุฏู‡ ุงู„ู„ูŠ ุนู„ู‚ู†ุง ุนู„ูŠู‡ ุจุงู„ุฃุณุงุณ ูุงู†ุช ุถุงู…ู† ุงู†ู‡ ุฌูˆุง ุงู„ุฃูุณ
2404
+
2405
+ 602
2406
+ 00:48:18,760 --> 00:48:22,940
2407
+ ู„ุฏุงุฎู„ ุนุดุงู† ุชู‚ูˆู„ to the power ุงู†ุช ุถุงู…ู† ุงู† ู‡ูˆ ุฏู‡
2408
+
2409
+ 603
2410
+ 00:48:22,940 --> 00:48:27,900
2411
+ ุฃูƒุจุฑ ู…ู† ุตูุฑ ุงู†ุช ุถุงู…ู† ู‡ูˆ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูˆููŠ ู†ูุณ ุงู„ูˆุฌู‡ุฉ
2412
+
2413
+ 604
2414
+ 00:48:27,900 --> 00:48:30,480
2415
+ ุจุฏูƒ ุชู‚ูˆู„ ู„ุฃ ู‡ุฐูŠ ู…ุด ุจุงู„ุณุงู„ุจ ู„ุฃู† ุจุงู„ุณุงู„ุจ ู…ุนู†ุงุชู‡
2416
+
2417
+ 605
2418
+ 00:48:30,480 --> 00:48:35,300
2419
+ ุจุงู„ุนูƒุณ ุจุฌู„ ู‚ูŠู…ุชู‡ุง ู…ุชูู‚ูŠู†ุŸ ูุฅุฐู† ุงู„ู„ูŠ ู‡ูŠ ูู‰ ูุชุฑุฉ ู…ู†
2420
+
2421
+ 606
2422
+ 00:48:35,300 --> 00:48:39,580
2423
+ ุณุงู„ุจ ูˆุงุญุฏ ู„ูˆุงุญุฏ ุจุงู„ุนูƒุณ ู‡ุฐูŠ ุจุชุฌู„ ุฃูƒุชุฑ ู…ู† ู…ุง ุงู†ุช
2424
+
2425
+ 607
2426
+ 00:48:39,580 --> 00:48:42,340
2427
+ ู…ุชุฎูŠู„ ู„ุฃู† ุจุทู„ุน ููŠ term ุณุงู„ุจ ู‡ู†ุง ุจุฏู‡ ูŠู†ุทุฑุญ ู…ู†
2428
+
2429
+ 608
2430
+ 00:48:42,340 --> 00:48:45,900
2431
+ ุงู„ูˆุงุญุฏุทูŠุจุŒ ู‡ุชู‚ูˆู„ูŠ ู„ุฃุŒ ู‡ูŠ ููˆู‚ ุงู„ูˆุงุญุฏุŒ ูŠุนู†ูŠ ู‡๏ฟฝ๏ฟฝ ููŠ
2432
+
2433
+ 609
2434
+ 00:48:45,900 --> 00:48:48,300
2435
+ ุงู„ุฌุฒุก ุงู„ positiveุŒ ู‡ู‚ูˆู„ูƒ ู…ุงุดูŠุŒ ููŠ ุงู„ุฌุฒุก ุงู„
2436
+
2437
+ 610
2438
+ 00:48:48,300 --> 00:48:51,220
2439
+ positiveุŒ ูู„ูŠูƒู†ุŒ ุจุณ ุฃู†ุช ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ุฅุฐุง ู‡ุฐู‡ ููŠ
2440
+
2441
+ 611
2442
+ 00:48:51,220 --> 00:48:53,880
2443
+ ุงู„ุฌุฒุก ุงู„ positiveุŒ ุฃู†ุช ุถุฑุจุช ููŠ nุŒ ู‡ุฐู‡ ููŠ ุงู„ุฌุฒุก ุงู„
2444
+
2445
+ 612
2446
+ 00:48:53,880 --> 00:48:58,520
2447
+ positiveุŒ ุนู…ู„ุช to the power nุŒ ูˆ n ุฌุฏูŠุดุŒ ุจุชุจุฏุฃ ู…ู†
2448
+
2449
+ 613
2450
+ 00:48:58,520 --> 00:49:02,860
2451
+ ุตูุฑุŒ ูŠุนู†ูŠ ุฅุฐุง ูุฑุถู†ุง ุฅู† ู‡ูŠ ุตูุฑุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฅู† ู‡ู†ุง
2452
+
2453
+ 614
2454
+ 00:49:02,860 --> 00:49:05,360
2455
+ ุจุงู„ุธุจุทุŒ ู‡ูŠุทู„ุน ู‡ู†ุง ุนู†ุฏูƒ ูˆุงุญุฏุŒ ูˆ ู‡ูŠุทู„ุน ุนู†ุฏูƒ ู‡ู†ุง
2456
+
2457
+ 615
2458
+ 00:49:05,360 --> 00:49:11,240
2459
+ ูˆุงุญุฏุŒ ุทูŠุจุŒ ุฃูƒุชุฑ ู…ู† ุตูุฑุŒ ู‡ูŠุทู„ุน ู„ุฃุŒ ุงู„ power ุจุชุฒูŠุฏุŒ
2460
+
2461
+ 616
2462
+ 00:49:11,980 --> 00:49:15,300
2463
+ ุงู„power ู‡ุชุฒูŠุฏู„ูƒ ุงู„ term ุงู„ู„ูŠ ู‡ู†ุง ูู„ุฃ ู…ุด ู…ุญุชุงุฌ ุฃุซุจุช
2464
+
2465
+ 617
2466
+ 00:49:15,300 --> 00:49:18,420
2467
+ ู‡ูŠ ุจุงู„ุนูƒุณ ุฅุฐุง ุฃู†ุง ู…ุงุงุฎุฏ ุจุงู„ูŠ ู‡ูŠ ุฅู† ู…ู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡
2468
+
2469
+ 618
2470
+ 00:49:18,420 --> 00:49:21,080
2471
+ ูˆู…ุงุงุฎุฏ ุจุงู„ูŠ ุฅู†ู‡ ุจุจุฏุฃ ู…ู† ุงู„ non negative ูˆู…ุงุงุฎุฏ
2472
+
2473
+ 619
2474
+ 00:49:21,080 --> 00:49:23,680
2475
+ ุจุงู„ูŠ ู…ู† ู‡ุฐู‡ ุงู„ rule ุงู„ู„ูŠ ุงุญู†ุง ุญุทู†ุงู‡ุง ููŠ ุงู„ุจุฏุงูŠุฉ
2476
+
2477
+ 620
2478
+ 00:49:23,680 --> 00:49:28,000
2479
+ ูˆู…ู‚ุชู†ุนูŠู† ููŠู‡ุง ู„ุฅู†ู‡ ู…ุจู†ูŠ ุนู„ู‰ ุฅู†ู‡ H ุฃูƒุจุฑ ู…ู† ุณุงู„ุจ
2480
+
2481
+ 621
2482
+ 00:49:28,000 --> 00:49:31,740
2483
+ ูˆุงุญุฏ ูู…ุนู†ู‰ ุฐู„ูƒ ุฅู†ู‡ ุงู„ term ูƒู„ู‡ ุนู„ู‰ ุจุนุถ ู‡ุฐุง ุฃูƒุจุฑ ู…ู†
2484
+
2485
+ 622
2486
+ 00:49:31,740 --> 00:49:35,780
2487
+ ุตูุฑ ุฃูƒูŠุฏ ูุงู†ุง ู…ุทู…ู† ู‡ู†ุง ุฅู†ู‡ ู‡ุฐุง ุงู„ term ุฏู‡ ู…ุงู†ุญุฌูˆู†
2488
+
2489
+ 623
2490
+ 00:49:35,780 --> 00:49:40,900
2491
+ ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุงู„ term ุชู…ุงู… ูˆุจู†ุงุก ุนู„ูŠู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง
2492
+
2493
+ 624
2494
+ 00:49:41,810 --> 00:49:49,770
2495
+ ุจู†ู‚ุฏุฑ ู†ุนูˆุถ ุจุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡ ุชู…ุงู… ุนูˆุถู†ุง ุจุงู„ุฌุฒุฆูŠุฉ ุจู‡ุฐู‡
2496
+
2497
+ 625
2498
+ 00:49:49,770 --> 00:49:56,110
2499
+ ุงู„ุฌุฒุฆูŠุฉ ูˆุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ุฅู† ู‡ุฐู‡ ู‡ูŠูƒ ูˆุงุญุฏ ู…ู†ู‡ุง
2500
+
2501
+ 626
2502
+ 00:49:56,110 --> 00:50:02,490
2503
+ ุจูƒู„ ุจุณุงุทุฉ ู„ูˆ ุฌูŠุช ุนูˆุถุช ูŠุนู†ูŠ ู‚ุฑู†ุช ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ู‚ุฑู†ู†ุง
2504
+
2505
+ 627
2506
+ 00:50:02,490 --> 00:50:07,630
2507
+ ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ู‡ูŠุทู„ุน ุนู†ุฏูƒ ุฅูŠุด ู‡ูŠ ุงู„ term ุตุญูŠุญุŸ
2508
+
2509
+ 628
2510
+ 00:50:07,630 --> 00:50:13,670
2511
+ ู‡ุฐุง ู…ุน ู‡ุฐุง ุฃูŠูˆุฉุŒ ููŠ ู…ุดูƒู„ุฉ ู‡ุฏูˆู„ุŸู†ุฒู„ู†ุง ุฒูŠ ู…ุง ู‡ูˆ ุชู…ุงู…
2512
+
2513
+ 629
2514
+ 00:50:13,670 --> 00:50:20,230
2515
+ ุงู„ุขู† ู‡ุฐุง ุงู„ term ุงุถุฑุจ ููŠ ุจุนุถ ูุจุชุทู„ุน ุนู†ุฏูƒ ู‡ุงูŠ
2516
+
2517
+ 630
2518
+ 00:50:20,230 --> 00:50:26,370
2519
+ ุงู„ูˆุงุญุฏ ูˆู‡ูŠ ุงู„ N ูˆูŠู† ุฑุงุญุช N ุฎู„ูŠู†ูŠ ุงุญุทู‡ุง ู‡ุงูŠ ูˆุงุญุฏ
2520
+
2521
+ 631
2522
+ 00:50:26,370 --> 00:50:35,910
2523
+ ุฒุงุฆุฏ N ููŠ H ูˆH ุฒุงุฆุฏ H ููŠ N H ุชุฑุจูŠุน
2524
+
2525
+ 632
2526
+ 00:50:38,700 --> 00:50:42,900
2527
+ ุชู…ุงู…ุŸ ู…ุธุจูˆุทุฉ ู‡ูŠูƒุŸ ูƒูˆูŠุณ ุฅูŠุด ุงู„ู„ูŠ ุฃุฎุฏู†ุง ุนุงู…ู„ ู…ุดุชุฑูƒ
2528
+
2529
+ 633
2530
+ 00:50:42,900 --> 00:50:47,220
2531
+ ุจุนุฏ ู‡ูŠูƒู„ุŸ ุฃุฎุฏู†ุง ุงู„ H ุนุงู…ู„ ู…ุดุชุฑูƒ ุฃุฎุฏู†ุง ุงู„ H ุนุงู…ู„
2532
+
2533
+ 634
2534
+ 00:50:47,220 --> 00:50:51,600
2535
+ ู…ุดุชุฑูƒ ุจุญูŠุซ ุฃู†ู‡ ูŠุถู„ ุนู†ุฏูƒ ู‡ู†ุง ูˆุงุญุฏ ูˆ ู‡ู†ุง ุจุชุงุฎุฏ N
2536
+
2537
+ 635
2538
+ 00:50:51,600 --> 00:50:56,500
2539
+ ุฒุงุฆุฏ ูˆุงุญุฏ ู„ุฃ ุฏูŠ ุงู„ุชุฑุจูŠุฉ ุญุชู‰ ุจุชุถู„ ุงู„ุชุฑุจูŠุฉ ุฒูŠ ู…ุง ู‡ูŠ
2540
+
2541
+ 636
2542
+ 00:50:56,500 --> 00:51:00,320
2543
+ ุงู„ุชุฑุจูŠุฉ ู…ุด ู‡ู†ุงุฎุฏู‡ุง ุจุชุถู„ู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ูู‡ู†ุง ุจุชุถู„ ูˆุงุญุฏ
2544
+
2545
+ 637
2546
+ 00:51:00,320 --> 00:51:07,090
2547
+ ุฒุงุฆุฏtwo terms ู‡ุฏูˆู„ ูู‚ุท n ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ h ูˆู‡ุฐู‡ ุฒูŠ ู…ุง
2548
+
2549
+ 638
2550
+ 00:51:07,090 --> 00:51:15,490
2551
+ ู‡ูŠ ู‡ูŠู‡ุง ุตุญูŠุญุฉ ุชู…ุงู… ุชู…ุงู… ุฃู…ุชุงุฒ ุนุฑูู†ุง ุฃู†ู‡ ู‡ูŠูƒ ุงู„ู„ูŠ
2552
+
2553
+ 639
2554
+ 00:51:15,490 --> 00:51:21,550
2555
+ ุจู†ุนู…ู„ู‡ ุตุญ ู‡ุฐุง ุงู„ term ุจูƒู„ ุจุณุงุทุฉ ู‡ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู† ู‡ุฐุง
2556
+
2557
+ 640
2558
+ 00:51:21,550 --> 00:51:27,390
2559
+ ุงู„ term ู‡ูŠ ุงู„ ูˆุงุญุฏ ูˆุงุญุฏ ูˆู‡ูŠ ุงู„ n ู‡ู†ุง ููŠ term n ููŠ
2560
+
2561
+ 641
2562
+ 00:51:27,390 --> 00:51:33,850
2563
+ h ุชุฑุจูŠุน ู‡ุฐุง term ุฒูŠุงุฏุฉุงู„ term ู‡ุฐุง ุฒูŠุงุฏุฉุŒ ู…ุนู†ุงุชู‡
2564
+
2565
+ 642
2566
+ 00:51:33,850 --> 00:51:39,070
2567
+ ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุงู„ term ู„ุฃู† ู‡ุฐุง ุฌุฒุก ู…ู†ู‡ุŒ ู‡ุฐุง ุฌุฒุก
2568
+
2569
+ 643
2570
+ 00:51:39,070 --> 00:51:45,150
2571
+ ู…ู†ู‡ุŒ ูุฅุฐุง ู‡ุฐุง ุงู„ term ุฃูƒูŠุฏ ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุงู„ termุŒ
2572
+
2573
+ 644
2574
+ 00:51:45,150 --> 00:51:50,870
2575
+ ุตุญุŸ ู…ุฏุงู… ู‡ุฐุง ุฃูƒุจุฑ ู…ู† term ู…ุนูŠู† ูˆ ุงู„ term ุงู„ู…ุนูŠู†
2576
+
2577
+ 645
2578
+ 00:51:50,870 --> 00:51:55,750
2579
+ ู‡ุฐุง ุฃูƒุจุฑ ู…ู†ู‡ุŒ ุฎู„ุงุตุŒ ู…ุด ู‡ุฐุง ู‡ูˆ ุงู„ู…ุทู„ูˆุจุŒ ู‡ูˆ ู‡ุฐุง
2580
+
2581
+ 646
2582
+ 00:51:55,750 --> 00:52:03,030
2583
+ ุงู„ู…ุทู„ูˆุจุŒ ู‡ูŠ ุนู†ุฏูƒ ููˆู‚ุŒ ู‡ูˆ ู‡ูŠ ุงู„ู…ุทู„ูˆุจูู‡ูŠ ูƒู…ุงู† ููƒุฑุฉ
2584
+
2585
+ 647
2586
+ 00:52:03,030 --> 00:52:09,830
2587
+ ุฏู‡ ุงู„ inductive proof okay ู‡ูŠูƒ ู†ูƒูˆู† ุงุญู†ุง ุฎู„ุตู†ุง ูˆ
2588
+
2589
+ 648
2590
+ 00:52:09,830 --> 00:52:15,470
2591
+ ุถุงูŠู‚ ุญุงุฌุฉ ุฃุฎูŠุฑุฉ ููŠ ุงู„ุขุฎุฑ ู…ุซุงู„ ู‡ูŠูƒ ู„ุฌูŠุชู‡ ุจุฑุถู‡ ููŠ
2592
+
2593
+ 649
2594
+ 00:52:15,470 --> 00:52:20,030
2595
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ุฃุณุฆู„ุฉ ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ุงุชุฐูƒุฑุช ุงู†ู‡ ู…ุงูƒู†ุด
2596
+
2597
+ 650
2598
+ 00:52:20,030 --> 00:52:24,210
2599
+ ุญุฏ ู†ุญู„ู‡ ูƒุชูŠุฑ ู„ู…ุฌุฑุฏ ู…ุน ุฃู†ู‡ ุจุณูŠุท ุฌุฏุง ู„ู…ุฌุฑุฏ ุงู†ู‡ ู„ุฌู‰
2600
+
2601
+ 651
2602
+ 00:52:24,210 --> 00:52:28,090
2603
+ ู๏ฟฝ๏ฟฝ ูƒู„ู…ุฉ proof proof that ููƒู„ู…ุฉ proof that ุจุชุนู…ู„
2604
+
2605
+ 652
2606
+ 00:52:28,090 --> 00:52:29,130
2607
+ ุงู„ุธู‡ุฑ ุนู†ุฏูƒู… ู‡ูŠูƒ
2608
+
2609
+ 653
2610
+ 00:52:32,010 --> 00:52:36,670
2611
+ ุจุชุนู…ู„ ุนู†ุฏูƒู… ู…ุดูƒู„ุฉ ููƒู„ ุงู„ู…ูˆุถูˆุน ุฃู†ู‡ ุจุฏู†ุง ู†ุซุจุช ุงู„ุชุงู„ูŠ
2612
+
2613
+ 654
2614
+ 00:52:36,670 --> 00:52:44,170
2615
+ ุงู† K ู…ุถุฑูˆุจุฉ ููŠ ุงู„ combination from N to K ุชุณุงูˆูŠ N
2616
+
2617
+ 655
2618
+ 00:52:44,170 --> 00:52:49,790
2619
+ ุนูƒุณู†ุงู‡ู… N ููŠ ุงู„ combination N ู†ุงู‚ุต ูˆุงุญุฏ ู„K ู†ุงู‚ุต
2620
+
2621
+ 656
2622
+ 00:52:49,790 --> 00:52:55,250
2623
+ ูˆุงุญุฏ ูŠุนู†ูŠ ู„ุงุญุธ ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู„ูŠ ุตุงุฑุชุŸ ุทูŠุจ ู‡ู„ ุงู„ูƒู„ุงู…
2624
+
2625
+ 657
2626
+ 00:52:55,250 --> 00:52:58,570
2627
+ ู‡ุฐุง ุตุญูŠุญุŸ ุงุฑุฌุน ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุตู„ูŠุฉ ุชุจุน ุงู„ combination
2628
+
2629
+ 658
2630
+ 00:52:59,350 --> 00:53:02,450
2631
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ factorial ุนู„ู‰ factorial factorial ุนู„ู‰
2632
+
2633
+ 659
2634
+ 00:53:02,450 --> 00:53:07,870
2635
+ ุนู„ู‰ ุงุชู†ูŠู† factorial ุชุญุช ุฎู„ุงุต ู‡ูŠู‡ุง ู‡ูŠู‡ุง ุฏู‡ ู…ุด ุงูƒุชุฑ
2636
+
2637
+ 660
2638
+ 00:53:07,870 --> 00:53:14,730
2639
+ ู…ู† ู‡ูŠูƒ ูˆ ู‡ู†ุงูƒ ู†ูุณ ุงู„ term ู‡ู†ุงูƒ ู†ูุณ ุงู„ุฌุซุฉ ูƒู„ ุงู„ู„ูŠ
2640
+
2641
+ 661
2642
+ 00:53:14,730 --> 00:53:21,650
2643
+ ู‡ู†ุนู…ู„ู‡ ุงู„ุขู† ุงู†ุช ุนุงุฑู ู…ุณุจู‚ุง ุงู† ู‡ุฐู‡ ู„ู…ุง
2644
+
2645
+ 662
2646
+ 00:53:21,650 --> 00:53:25,310
2647
+ ุชุถุฑุจ in ููŠ in ู†ู‚ุต ูˆุงุญุฏ factorial in factorial
2648
+
2649
+ 663
2650
+ 00:53:25,310 --> 00:53:31,130
2651
+ ูู‡ุฏูˆู„ ู‡ูŠูƒ ู…ุน ุจุนุถ ูƒู„ู‡ู… ู…ุถุฑุจูŠู† ู‡ุฏูˆู„ in factorialุฃูŠูˆุฉ
2652
+
2653
+ 664
2654
+ 00:53:31,130 --> 00:53:34,770
2655
+ ู‡ุฐู‡ ุจุฏู†ุง ู†ุดุชุบู„ ุนู„ูŠู‡ุง ุดูˆูŠุฉ ู‡ุฐู‡ ุฑุญ ู†ุดุชุบู„ ุนู„ูŠู‡ุง ุดูˆูŠุฉ
2656
+
2657
+ 665
2658
+ 00:53:34,770 --> 00:53:38,150
2659
+ ุจุญูŠุซ ุงู†ู‡ yes ุงู† ุฌูˆู„ ุจุฏู‡ ุฃุฌูŠุจู‡ุง ุฏู„ุงู„ุฉ ุงู„ K
2660
+
2661
+ 666
2662
+ 00:53:38,150 --> 00:53:42,530
2663
+ factorial ูู…ุฏู‡ ุฃู† ุจุฏูƒ ุชุญุทู‡ุง K factorial ุจุฏูƒ ุชุตุจุญ
2664
+
2665
+ 667
2666
+ 00:53:42,530 --> 00:53:46,410
2667
+ ูƒุฃู†ูƒ ุถุฑุจุช ููŠ K ูุฅุฐุง ู†ุถุฑุจู‡ุง ููŠ K ุตุงุฑุช K factorial
2668
+
2669
+ 668
2670
+ 00:53:46,410 --> 00:53:51,890
2671
+ ุนู„ู‰ K ุตุญ
2672
+
2673
+ 669
2674
+ 00:53:51,890 --> 00:53:59,540
2675
+ ุนู„ู‰ K ุทูŠุจ ู…ู‚ุงู… ุงู„ู…ู‚ุงู… ุจุตูŠุฑ ุจุณุท ููŠู‡ ุฃุณู‡ู„ ู…ู† ู‡ูŠูƒุชุฎูŠู„
2676
+
2677
+ 670
2678
+ 00:53:59,540 --> 00:54:03,780
2679
+ ุงู† ู‡ุฐุง ุงู„ุณุคุงู„ ู‡ูŠูˆ ู‡ุง ุนู„ูŠู‡ ุฎู…ุณ ุฏุฑุฌุงุช ูƒุงู† ู‡ุงูŠ ุงู„ุณุคุงู„
2680
+
2681
+ 671
2682
+ 00:54:03,780 --> 00:54:09,840
2683
+ ู‡ุงูŠ ุฎู„ุตู†ุง ุงู†ุชู‡ู‰ ุงู„ุณุคุงู„ ุฃูƒู… ุณุทุฑ ู‡ูŠ ุฎู…ุณ ุฏุฑุฌุงุช
2684
+
2685
+ 672
2686
+ 00:54:15,250 --> 00:54:19,210
2687
+ ู…ู„ุงุญุธ ุชุนูˆุถ ู…ุจุงุดุฑ ูŠุนู†ูŠ ุงู†ุช ุจุณ ุจุชุญุท ุชุนูˆุถ ู…ุจุงุดุฑ ุชุจุนู‡ุง
2688
+
2689
+ 673
2690
+ 00:54:19,210 --> 00:54:24,510
2691
+ ุชุจุน ุงู„ combination ุงู„ู„ูŠ ุงู†ุช ุจุชุนุฑูู‡ ู‡ุงุช ู†ูƒูˆู† ุฎู„ุตู†ุง
2692
+
2693
+ 674
2694
+ 00:54:24,510 --> 00:54:28,990
2695
+ ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณุฆู„ุฉ ู„ู„ูŠูˆู… ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ู‡ู†ุญุงูˆู„ ู†ุฑุฌุน ุดูˆูŠุฉ
2696
+
2697
+ 675
2698
+ 00:54:28,990 --> 00:54:34,650
2699
+ ู„ู„ encryption ููŠ ุฃูƒู…ู„ ููƒุฑุฉ ู…ู† ุฎู„ุงู„ ุฃุณุฆู„ุชูƒูˆุง ู„ุงุญุธูˆุง
2700
+
2701
+ 676
2702
+ 00:54:34,650 --> 00:54:38,350
2703
+ ุฃู† ุฃู†ุง ุจุฃุฎุฏ ุงู„ุฃุณุฆู„ุฉ ู…ู†ูƒูˆุง ูƒู…ุงู† ู…ุฑุฉ ู‡ู†ุง ู‚ู„ู†ุง ู†ูุณ
2704
+
2705
+ 677
2706
+ 00:54:38,350 --> 00:54:43,840
2707
+ ุงู„ุฌุตุฉ ูุงู„ู„ูŠ ูู‡ู…ุชูˆุง ู…ู†ูƒูˆุง ุฃู† ูƒุงู† ุนู†ุฏูƒู… ู…ุดูƒู„ุฉููŠ
2708
+
2709
+ 678
2710
+ 00:54:43,840 --> 00:54:50,040
2711
+ ู…ุดูƒู„ุฉ ูƒูŠู ุชุญุณุจู‡ ุงู„ู‚ูŠู…ุฉ ุชุธุจูˆ ุงู„ุฑู‚ู… ูƒุจูŠุฑ ูุญุนู…ู„ูƒูˆุง
2712
+
2713
+ 679
2714
+ 00:54:50,040 --> 00:54:52,160
2715
+ ุฅูŠุงู‡ุง ุจุดูƒู„ ุฑูŠุงุถูŠ ูŠุนู†ูŠ ุนู„ู‰ ุงู„ุตุจูˆุฑุฉ ุชุญู„ูˆู‡ุง ู…ุงููŠุด ุฏู‡
2716
+
2717
+ 680
2718
+ 00:54:52,160 --> 00:54:56,800
2719
+ ุนู„ู‰ ุงู„ูƒู…ุจูŠูˆุชุฑ ูƒูˆูŠุณุŸ ุจุฑุถู‡ ู…ู† ุงู„ rules ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง
2720
+
2721
+ 681
2722
+ 00:54:56,800 --> 00:55:00,280
2723
+ ููŠ ุงู„ู…ุญุงุถุฑุฉ ู‡ุฌูŠุจู„ูƒ rule ุฃู‚ูˆู„ูƒ ุฅุญู†ุง ู‡ู†ุณุชุฎุฏู… ุงู„ rule
2724
+
2725
+ 682
2726
+ 00:55:00,280 --> 00:55:03,580
2727
+ ู‡ุฐู‡ ู‡ุชุจุณุทู„ูƒ ุงู„ุดุบู„ ูˆ ู„ูˆ ุนู…ู„ุชู‡ุง ูƒ sub routine
2728
+
2729
+ 683
2730
+ 00:55:03,580 --> 00:55:06,240
2731
+ ุฃุฑูŠุงุญู„ูƒ ู…ู† ุฅู†ูƒ ุฃู†ุช ุชุฏูˆุฑ ุนู„ู‰ ุงู„ functions ุงู„ู…ู†ุงุณุจุฉ
2732
+
2733
+ 684
2734
+ 00:55:06,240 --> 00:55:10,420
2735
+ ู„ู„ big numbers ุชู…ุงู…ุŸ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ูˆ ู†ุดูˆููƒู… ุจุนุฏ
2736
+
2737
+ 685
2738
+ 00:55:10,420 --> 00:55:10,960
2739
+ ุจูƒุฑุฉ ุงู† ุดุงุก ุงู„ู„ู‡
2740
+
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The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/QkhqcRfm9Hs_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/REG9T5tb2MA_raw.srt ADDED
@@ -0,0 +1,2236 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:04,810 --> 00:00:07,910
3
+ ุทูŠุจุŒ ูŠุง ุนุทูŠูƒู… ุงู„ุนููˆ ูŠุง ุดุจุงุจ ู†ุจุฏุฃ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,910 --> 00:00:12,750
7
+ ุชุนุงู„ู‰ ููŠ ุงู„ proof methods ู…ู‡ุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ุณุงุจู‚ุฉ ูˆ
8
+
9
+ 3
10
+ 00:00:12,750 --> 00:00:17,350
11
+ ุฃุฎุฏู†ุง ุงู„ inference ูˆ ุงู„ rule of inference ูˆ ุจุฏุฃู†ุง
12
+
13
+ 4
14
+ 00:00:17,350 --> 00:00:21,970
15
+ ู†ุชูƒู„ู… ุนู† ุจุนุถ ู‚ูˆุงุนุฏ ุงู„ุงุณุชุฏู„ุงู„ ูˆ ุงู„ูŠูˆู… ู‡ู†ุชูˆุฌ ุงู„ู…ูˆุถูˆุน
16
+
17
+ 5
18
+ 00:00:21,970 --> 00:00:25,710
19
+ ุจุงู„ strategies ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ุง ู„ุนู…ู„ูŠุฉ ุงู„ุฅุซุจุงุช ู†ูุณู‡ุง
20
+
21
+ 6
22
+ 00:00:25,710 --> 00:00:29,590
23
+ ู„ุนู…ู„ูŠุฉ ุงู„ุฅุซุจุงุช ู†ูุณู‡ุง ู‡ู†ุงุฎุฏ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ methods ุงูˆ
24
+
25
+ 7
26
+ 00:00:29,590 --> 00:00:35,520
27
+ ุงู„ strategiesู‡ู†ุงุฎุฏ ุงู„ direct ุงู„ indirect ุงู„
28
+
29
+ 8
30
+ 00:00:35,520 --> 00:00:41,200
31
+ vicious proof ูˆ ุงู„ trivial proof ุซู… ู‡ู†ุงุฎุฏ ุญุงู„ุฉ
32
+
33
+ 9
34
+ 00:00:41,200 --> 00:00:45,580
35
+ ุงุณู…ู‡ุง ุงู„ introduction ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชู†ุงู‚ุถ ูุฎู„ูŠู†ูŠ ู†ุจุฏุฃ
36
+
37
+ 10
38
+ 00:00:45,580 --> 00:00:49,620
39
+ ุดูˆูŠุฉ ุดูˆูŠุฉ ููŠ strategy ูˆุงุญุฏุฉ ูˆุฑุง ุงู„ุชุงู†ูŠุฉ ู†ุจุฏุฃ ููŠ ุงู„
40
+
41
+ 11
42
+ 00:00:49,620 --> 00:00:53,180
43
+ direct ููŠ ุงู„ direct ู…ุจุงุดุฑุฉ ูƒู„ ุงู„ุฃู†ูˆุงุน ุงู„ู„ูŠ ู‡ู†ุชูƒู„ู…
44
+
45
+ 12
46
+ 00:00:53,180 --> 00:00:57,560
47
+ ุนู†ู‡ุง ู‡ูŠ ุชุชุจุน ู„ู„ implicationุฅูŠุด ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ู…ุง ุฃู†ุง
48
+
49
+ 13
50
+ 00:00:57,560 --> 00:01:00,840
51
+ ุจุชู‚ูˆู„ ู‚ุจู„ ู…ุง ู†ุจุฏุฃ ู…ุญุงุถุฑุชู†ุง ุจุฏู†ุง ู†ุญุท ุฌุฏูˆู„ู†ุง ุนู„ู‰ ุฌู†ุจ
52
+
53
+ 14
54
+ 00:01:00,840 --> 00:01:07,160
55
+ ู„ุฅู†ู‡ ู‡ู†ุจุฏุฃ ูƒู„ ุดุบู„ู†ุง ู…ู† ุฎู„ุงู„ู‡ ูู‡ู†ู‚ูˆู„ P EQ ูˆ ุงู„
56
+
57
+ 15
58
+ 00:01:07,160 --> 00:01:16,500
59
+ implication ุชุจุนุชู†ุง if true true if ูˆ true true
60
+
61
+ 16
62
+ 00:01:16,500 --> 00:01:21,480
63
+ ูู‡ุชูƒูˆู† ู‡ู†ุง true true false ูˆ true
64
+
65
+ 17
66
+ 00:01:24,630 --> 00:01:28,110
67
+ ูุงู„ proofs ุจุชุงุนุชู†ุง ูƒู„ู‡ุง ู…ุจู†ูŠุฉ ุนู„ู‰ ุงู„ F then ูˆุงู„ู„ูŠ
68
+
69
+ 18
70
+ 00:01:28,110 --> 00:01:31,190
71
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุงุฎุฏู‡ุง .. ุจู†ุงุฎุฏู‡ุง
72
+
73
+ 19
74
+ 00:01:31,190 --> 00:01:34,850
75
+ .. ุจู†ุชูƒู„ู… ุนู†ู‡ุง ุฃุณุงุณุง ููŠ ุงู„ condition ููŠ ุงู„ุจุฑู…ุฌุฉ
76
+
77
+ 20
78
+ 00:01:34,850 --> 00:01:38,150
79
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ F then ูู‡ูŠ ุงู„ุฌู…ู„ุฉ ุงู„ู„ูŠ ู‡ู†ุชุนุงู…ู„ ู…ุนู‡ุง
80
+
81
+ 21
82
+ 00:01:38,150 --> 00:01:41,470
83
+ ุฃูƒุชุฑ ูุงู„ implication ุจู‡ุฐุง ุงู„ุดูƒู„ ุทูŠุจ ู„ู…ุง ุจู‚ูˆู„
84
+
85
+ 22
86
+ 00:01:41,470 --> 00:01:47,430
87
+ direct .. direct ูƒู„ู†ุง ุนุงุฑููŠู† ุนู†ุฏู‡ premises ุฅุฐุง
88
+
89
+ 23
90
+ 00:01:47,430 --> 00:01:50,010
91
+ ุชุญู‚ู‚ูˆุง ุฅุฐุง ุงู„ conclusion
92
+
93
+ 24
94
+ 00:01:52,670 --> 00:01:59,490
95
+ ุจู†ุจุฏุฃ ุจู‡ุฐุง ุงู„ุดูƒู„ direct ุฎู„ุงุต ุชู…ุงู… ุจูุชุฑุถ ุจูุชุฑุถ ุงู† P
96
+
97
+ 25
98
+ 00:01:59,490 --> 00:02:08,930
99
+ is true ูˆ ุงุญุงูˆู„ ุงุซุจุช ุงู† ุงุฐุง P true ุงู„ Q ู‡ุชุฑูˆุญ ู„
100
+
101
+ 26
102
+ 00:02:08,930 --> 00:02:15,400
103
+ trueุฅุฐุง ุฃุซุจุชู†ุง ุญู‚ู‚ุช ุงู„ุทุฑูŠู‚ุฉ ุงู„ุจุณูŠุทุฉ ุงู„ุณู‡ู„ุฉ ุญู‚ู‚ู†ุง
104
+
105
+ 27
106
+ 00:02:15,400 --> 00:02:20,380
107
+ ุงู„ proof ุชุจุนู†ุง ู‡ุชุดูˆู ุทุจุนุง ุนู„ูŠู‡ ุฃู…ุซู„ุฉ ูƒุชูŠุฑ ุจุณ ู‚ุจู„
108
+
109
+ 28
110
+ 00:02:20,380 --> 00:02:23,140
111
+ ู…ุง ู†ุงุฎุฏ ุงู„ุฃู…ุซู„ุฉ ุจุชุงุนุชู†ุง ููŠู‡ุง ูƒู… ู…ู† ุชุนุฑูŠู ู…ุญุชุงุฌูŠู†ู‡
112
+
113
+ 29
114
+ 00:02:23,140 --> 00:02:27,120
115
+ ู„ุฅู†ู‡ ู‡ู†ุญุชุงุฌู‡ ููŠ ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ู‡ู†ุงุฎุฏู‡ุง ู„ู„ูŠูˆู… ุฃูˆู„
116
+
117
+ 30
118
+ 00:02:27,120 --> 00:02:30,380
119
+ ุชุนุฑูŠู ุทุจุนุง ุชุนุฑูŠู ุจุณูŠุทุฉ ุฌุฏุง ู…ุด ุงู„ุญุงุฌุฉ ุงู„ูƒุจูŠุฑุฉ ุงู†ู‡
120
+
121
+ 31
122
+ 00:02:30,380 --> 00:02:34,280
123
+ ุฃูŠ integer definition ุฃูˆู„ any integer n ู‡ุฏ ุฃูŠ
124
+
125
+ 32
126
+ 00:02:34,280 --> 00:02:40,990
127
+ integer ู‡ู†ุณู…ูŠ oddุฃูˆ even ููŠ ุญุงู„ุฉ ุชุงู„ุชุฉ ู…ุงููŠุด ุญุงู„ุฉ
128
+
129
+ 33
130
+ 00:02:40,990 --> 00:02:45,430
131
+ ุชุงู„ุชุฉ ููุนู„ูŠุง ุงู„ axiom ุจุชุงุนุชู†ุง ุฃูˆ ุงู„ู…ุณู„ู…ุฉ ุจุชุงุนุชู†ุง
132
+
133
+ 34
134
+ 00:02:45,430 --> 00:02:50,190
135
+ ุงู„ุดูŠ ุงู„ู…ุณู„ู… ุงู„ุจุฏูŠู‡ูŠ ุงู† ูƒู„ integer ู‡ูˆ either odd or
136
+
137
+ 35
138
+ 00:02:50,190 --> 00:02:58,010
139
+ even ูู‡ูŠูƒูˆู† odd if and only if ุงู† ุจู‚ุฏุฑ ุงุญุทู‡ุง ุจุตูˆุฑุฉ
140
+
141
+ 36
142
+ 00:02:58,010 --> 00:03:03,680
143
+ two k plus ูˆุงุญุฏ ูˆ k some other integerุฃูŠ ุงู†ุชุฌุงุฑ
144
+
145
+ 37
146
+ 00:03:03,680 --> 00:03:08,680
147
+ ุฃุฎุฑ ูุฅุฐุง ู‚ุฏุฑู†ุง ู†ุญุทู‡ุง ุจู‡ุฐู‡ ุงู„ุตูˆุฑุฉ ุงู„ N ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†
148
+
149
+ 38
150
+ 00:03:08,680 --> 00:03:14,940
151
+ ุงู„ N ู‡ุฐู‡ odd ุทูŠุจ ุฃู…ุง ุฅุฐุง ู‚ุฏุฑู†ุง ู†ุญุทู‡ุง ุจุตูˆุฑุฉ 2K ุจุณ
152
+
153
+ 39
154
+ 00:03:14,940 --> 00:03:20,400
155
+ ู…ุงููŠุด plus ูˆุงุญุฏ ูู‡ุชุตุจุญ even ุชู…ุงู…ุŸ ุชุนุฑูŠู ู‡ุฐุง
156
+
157
+ 40
158
+ 00:03:20,400 --> 00:03:24,140
159
+ ู‡ู†ุญุชุงุฌู‡ ูƒุชูŠุฑ ุนุดุงู† ู†ู…ูŠุฒ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ู‡ุชุทู„ุน ู…ุนุงู†ุง ู‡ูŠ
160
+
161
+ 41
162
+ 00:03:24,140 --> 00:03:29,660
163
+ odd ูˆู„ุง even ูˆ ุฃู‚ุฏุฑ ุฃุนู…ู„ ุนู„ูŠู‡ุง ุญูƒู… ู„ู†ุธุฑูŠุงุชู†ุง ูุจุฏู†ุง
164
+
165
+ 42
166
+ 00:03:29,660 --> 00:03:33,810
167
+ ู†ุงุฎุฏ ุจุงู„ู†ุง ู…ู† ุจุณ ุงู„ุชุนุฑูŠููŠู† ู‡ุฏูˆู„ุฉุงู„ุฌุฒุก ู‡ุฐุง ู‡ูŠูˆ
168
+
169
+ 43
170
+ 00:03:33,810 --> 00:03:37,350
171
+ ูˆุงู„ุฌุฒุก ู‡ุฐุง ุงู…ุชู‰ ุจุชูƒูˆู† odd ุงู…ุชู‰ even ู„ุง ุฃูƒุชุฑ ูˆู„ุง
172
+
173
+ 44
174
+ 00:03:37,350 --> 00:03:41,590
175
+ ุฃู‚ู„ ูˆูƒู„ู†ุง ุนุงุฑููŠู† ุงู†ู‡ ู„ุง ูŠูˆุฌุฏ ุนู†ุตุฑ ุชุงู„ุช ูŠุง odd ูŠุง
176
+
177
+ 45
178
+ 00:03:41,590 --> 00:03:48,710
179
+ even ุชูุถู„ ุงู„ุดุฎุต ุงู„ุญู‚ูŠู‚ุฉ ุงุชู†ูŠู† ุจุณ ุงูƒุชุฑ ู…ุน ุงู„ even
180
+
181
+ 46
182
+ 00:03:48,710 --> 00:03:54,690
183
+ ู‡ูˆ ุงุณุชุฎุฏุงู…ู‡ ุงูƒุชุฑ ู…ุน ุงู„ even ุจุชู‚ุฏุฑ ุชู‚ูˆู„ ุงู† ู‡ูˆ ุงุชู†ูŠู†
184
+
185
+ 47
186
+ 00:03:54,690 --> 00:03:58,450
187
+ ู…ู† ู†ูุณู‡ ูู‡ูˆ even ุงูƒุชุฑ ุชู…ุงู…
188
+
189
+ 48
190
+ 00:04:01,950 --> 00:04:05,770
191
+ ู„ุฃ ู…ุธุจูˆุทุด ุนู„ู‰ ุงู„ word ูุนุดุงู† ูŠู‚ูˆู„ูˆุง ู‡ูˆ ุฃูƒุชุฑ
192
+
193
+ 49
194
+ 00:04:05,770 --> 00:04:11,570
195
+ ุงุณุชุฎุฏุงู…ุง ู‡ูˆ ู„ุฅู†ู‡ ูุนู„ูŠุง ู…ุญุงูŠุฏ ู„ูƒู† ุฅุฐุง ุจุฏูƒ ุชุตู†ูู‡
196
+
197
+ 50
198
+ 00:04:11,570 --> 00:04:12,610
199
+ ุถุฑูˆุฑูŠ ุชุตู†ูู‡ ู‡ูˆ even
200
+
201
+ 51
202
+ 00:04:16,080 --> 00:04:18,960
203
+ ุทูŠุจ theorem ูˆ ุจุฏู†ุง ู†ุซุจุชู‡ุง ู†ุญุงูˆู„ ู†ุซุจุช ุงู„ theorem
204
+
205
+ 52
206
+ 00:04:18,960 --> 00:04:21,780
207
+ ู‡ุฐู‡ ุฎู„ุตู†ุง ู‡ุฏูˆู„ ุจุฏู†ุง ู†ุธู„ ุญุงูุธูŠู†ู‡ู… ูˆ ู…ููƒุฑูŠู†ู‡ู… ูˆ
208
+
209
+ 53
210
+ 00:04:21,780 --> 00:04:24,420
211
+ ู…ุฐูƒุฑูŠู†ู‡ู… ุงู„ theorem ุทุจุนุชู†ุง ุงู„ู„ูŠ ุจุฏู†ุง ู†ุซุจุชู‡ุง ู„ุฃู†ู‡
212
+
213
+ 54
214
+ 00:04:24,420 --> 00:04:29,180
215
+ ุทุงู„ุจ ู…ู†ูŠ ุฃุซุจุชู‡ุง ุฃุซุจุช ุงู„ุชุงู„ูŠ ุฃู†ู‡ ู„ูƒู„ ุฃุฑู‚ุงู… ู„ูƒู„
216
+
217
+ 55
218
+ 00:04:29,180 --> 00:04:37,840
219
+ ุงู„ุฃุฑู‚ุงู… N ุฅุฐุง N is odd ุฅุฐุง N ุชุฑุจูŠุฉ is odd ุนู„ู‰ ุทูˆู„
220
+
221
+ 56
222
+ 00:04:37,840 --> 00:04:46,250
223
+ ู‡ูŠู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ ู…ุจุงุดุฑุฉ ุฅุฐุง ูƒุงู†ุช ุงู„ุนู†ุตุฑ NูุฑุฏูŠ
224
+
225
+ 57
226
+ 00:04:46,250 --> 00:04:51,910
227
+ ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ุชุฑุจูŠุนู‡ ูŠูƒูˆู† ูุฑุฏูŠ ุทูŠุจ ุจุณูŠุทุฉ ุฎู„ูŠู†ูŠ ุงู…ุดูŠ
228
+
229
+ 58
230
+ 00:04:51,910 --> 00:05:00,630
231
+ ู…ุน if n is odd direct ู„ุงุญุธ ุงุญู†ุง ู…ุดูŠ direct then n
232
+
233
+ 59
234
+ 00:05:00,630 --> 00:05:12,030
235
+ ุชุฑุจูŠุน is odd ุตุญูŠุญุŸ ุชู…ุงู… ูŠุนู†ูŠ ูƒุฃู†ู‡ n is odd n
236
+
237
+ 60
238
+ 00:05:12,030 --> 00:05:19,100
239
+ ุชุฑุจูŠุนis odd ุฎู„ุงุต ุงู„ direct ุงูŠุด ุจูŠู‚ูˆู„ ุงุชุนุงู…ู„ ู…ุนุงู‡ุง
240
+
241
+ 61
242
+ 00:05:19,100 --> 00:05:26,880
243
+ ุงู†ู‡ ูุนู„ุง in is odd ูุฅุฐุง assume that in is odd ูุนู„ุง
244
+
245
+ 62
246
+ 00:05:26,880 --> 00:05:31,520
247
+ ุทุจ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ุจู‚ุฏุฑ ุงุญุท ุงุชู†ูŠู† k plus ูˆุงุญุฏ
248
+
249
+ 63
250
+ 00:05:31,520 --> 00:05:40,620
251
+ ู…ุฏุงู… ู‡ู†ุง let in is odd ูŠุนู†ูŠ ู„ุงุญุธ ุงู†ุช ู…ุดูŠุช direct
252
+
253
+ 64
254
+ 00:05:40,620 --> 00:05:45,200
255
+ ุญุณุจ ุงุชุฌุงู‡ ุงู„ implication ู…ุดูŠุช ุตุญูุฑุจุท ุงู† ู‡ูŠ ุงู„
256
+
257
+ 65
258
+ 00:05:45,200 --> 00:05:48,700
259
+ premises ู…ุธุจูˆุทุฉ ูˆุจู†ุงุก ุนู„ูŠู‡ุง ุจุฏูƒ ุชุญุงูˆู„ ุชุฌูŠุจ ุงู„ N
260
+
261
+ 66
262
+ 00:05:48,700 --> 00:05:51,340
263
+ ุชุฑุจูŠุน ุทูŠุจ ุฎู„ูŠู†ูŠ ุฃุฌูŠุจ ุงู„ N ุชุฑุจูŠุน ุงู„ N ุชุฑุจูŠุน ู‡ุชุตุจุญ
264
+
265
+ 67
266
+ 00:05:51,340 --> 00:05:58,520
267
+ ุงุชู†ูŠู† K plus ูˆุงุญุฏ ูƒู„ ุชุฑุจูŠุน ููƒููƒู‡ุง ุจุฏู†ุง ู†ููƒููƒู‡ุง ูู‡ูŠ
268
+
269
+ 68
270
+ 00:05:58,520 --> 00:06:02,340
271
+ ู†ููƒููƒู„ูƒ ุงูŠุงู‡ุง ุนู†ุฏูƒ ู‡ู†ุง ูƒุฏู‡ ุงุด ููƒู‡ุง ู‡ู†ุง ุงุฑุจุนุฉ K
272
+
273
+ 69
274
+ 00:06:02,340 --> 00:06:11,710
275
+ ุชุฑุจูŠุน ุฒุงุฆุฏ ุงุฑุจุนุฉ K ุฒุงุฆุฏ ูˆุงุญุฏ ุชู…ุงู… ู…ู…ุชุงุฒู‡ู„ ุจู†ู‚ุฏุฑ
276
+
277
+ 70
278
+ 00:06:11,710 --> 00:06:15,450
279
+ ู†ุญุท ุงู„ุตูˆุฑุฉ ุงู„ู„ูŠ ุถุงูŠู„ุฉ ู‡ุฏู‰ ุจุตูˆุฑุฉ 2 some integer
280
+
281
+ 71
282
+ 00:06:15,450 --> 00:06:20,430
283
+ ุญู‚ูŠู‚ุฉ ุงู‡ ุจุชู‚ุจู„ ุงู„ู‚ุณู… ุน 2 ูˆุงู„ูˆุงุญุฏ ุจูŠู‚ุจู„ุด ูุถุฑูˆุฑูŠ ูŠุธู„
284
+
285
+ 72
286
+ 00:06:20,430 --> 00:06:27,230
287
+ ุจุฑุง ู…ุด ู‡ุชู‚ุฏุฑ ุชุนู…ู„ู‡ ุงุดูŠ ูู‡ู†ุง ู‡ุญุท ุฃุตุจุญ 2 ููŠ 2k ุชุฑุจูŠุน
288
+
289
+ 73
290
+ 00:06:27,230 --> 00:06:35,170
291
+ plus 2k ูƒู„ู‡ ุฒุงุฆุฏ 1 ูƒู„ู‡ ุฒุงุฆุฏ 1 ุทูŠุจ ุงู„ term ู‡ุฐุง
292
+
293
+ 74
294
+ 00:06:36,460 --> 00:06:44,080
295
+ ู…ุจุฏุฃูŠุง ูƒู„ ูุฑุถูŠุชู†ุง ู‚ุงุฆู…ุฉ ุนู„ู‰ N ูˆ N odd odd ุงูŠุด ูŠุนู†ูŠ
296
+
297
+ 75
298
+ 00:06:44,080 --> 00:06:49,900
299
+ ุงุชู†ูŠู† some integer ูŠุนู†ูŠ K integer K ู‡ูŠ integer ุทูŠุจ
300
+
301
+ 76
302
+ 00:06:49,900 --> 00:06:54,960
303
+ integer ุงู„ integer ุชุฑุจูŠู‡ ุจุฑุถู‡ ู‡ูŠุฏู„ integer ุนุฏุฏ
304
+
305
+ 77
306
+ 00:06:54,960 --> 00:06:59,500
307
+ ุตุญูŠุญ ุฑุจุนุชู‡ ุญุงุณูŠู‡ refraction ูˆู„ุง ูŠู…ูƒู† ู‡ูŠุฏู„ ุนุฏุฏ ุตุญูŠุญ
308
+
309
+ 78
310
+ 00:06:59,500 --> 00:07:03,540
311
+ ุงุถุฑุจู‡ ููŠ ุงุชู†ูŠู† ุนุฏุฏ ุตุญูŠุญ ุฒุงุฆุฏ ุงุชู†ูŠู† ููŠ ุนุฏุฏ ุตุญูŠุญ
312
+
313
+ 79
314
+ 00:07:04,250 --> 00:07:10,950
315
+ ุงู„ู…ุฌู…ูˆุน ูƒู„ู‡ ุนุฏุฏ ุตุญูŠุญ ุญุทู„ู‡ ุงูŠ ุฌูŠ ู…ุซู„ุง ูƒู„ ู‡ุฐุง ุงู„
316
+
317
+ 80
318
+ 00:07:10,950 --> 00:07:16,850
319
+ term ุฌูŠ ุงู„ ุฌูŠ ู‡ุฐูŠ ุงูƒูŠุฏ ุนุฏุฏ ุตุญูŠุญ integer ูุฅุฐุง ุฃุตุจุญุช
320
+
321
+ 81
322
+ 00:07:16,850 --> 00:07:23,650
323
+ ุจุตูˆุฑุฉ ุงุชู†ูŠู† ุฌูŠ plus ูˆุงุญุฏ ุทูŠุจ
324
+
325
+ 82
326
+ 00:07:23,650 --> 00:07:26,970
327
+ ุงู„ุดูŠุงุก
328
+
329
+ 83
330
+ 00:07:26,970 --> 00:07:30,270
331
+ ู„ุง ุงู„ู„ูŠ ุจู‡ู…ู†ูŠุด ู‡ูˆ integer ู‡ูˆ ุตู…ู… integer ุจุณ ุงู†ุง
332
+
333
+ 84
334
+ 00:07:30,270 --> 00:07:35,670
335
+ ุงู„ู„ูŠ ุจู‡ู…ู†ูŠ ู‡ู†ุงุฅุฐุง ุฅู† odd ู…ุนู†ุงุชู‡ ุจู†ู‚ุฏุฑ ู†ุญุทู‡ุง ุจุดูƒู„
336
+
337
+ 85
338
+ 00:07:35,670 --> 00:07:41,310
339
+ ุงุชู†ูŠู† ููŠ some integer plus ูˆุงุญุฏ ุชู…ุงู…ุŒ ู„ุงุญุธ if and
340
+
341
+ 86
342
+ 00:07:41,310 --> 00:07:44,910
343
+ only ifุŒ ุฅูŠุด ูŠุนู†ูŠ if and only ifุŸ ูŠุนู†ูŠ ู‡ุฐุง ุชุญู‚ู‚ุŒ
344
+
345
+ 87
346
+ 00:07:44,910 --> 00:07:48,690
347
+ ู‡ุฐุง ู„ุงุฒู… ูŠุชุญู‚ู‚ุŒ ู‡ุฐุง ุชุญู‚ู‚ุŒ ู‡ุฐุง ู„ุงุฒู… ูŠุชุญู‚ู‚ุŒ ุทูŠุจ ุฅุญู†ุง
348
+
349
+ 88
350
+ 00:07:48,690 --> 00:07:56,670
351
+ ุญู‚ู‚ู†ุง ู‡ุฐุงุŒ ูุฅุฐุง ุงู„ term ู‡ุฐุง ูุนู„ูŠุง oddุŒ ุทุจ ุงู„ term
352
+
353
+ 89
354
+ 00:07:56,670 --> 00:08:03,740
355
+ ู‡ุฐุง ู…ุง ู‡ูˆ if ุชุฑุจูŠุฉุŒ ูุฅุฐุง if ุชุฑุจูŠุฉ is oddุจุชู‚ู†ุง ู…ู†
356
+
357
+ 90
358
+ 00:08:03,740 --> 00:08:08,920
359
+ ุงู„ premise ูˆ ุฑูˆุญู†ุง ููŠ ุงุชุฌุงู‡ ุงู„ conclusion ุจุณูŠุทุฉ ูˆ
360
+
361
+ 91
362
+ 00:08:08,920 --> 00:08:12,140
363
+ ู…ุงููŠู‡ุง ูƒุชูŠุฑ ู…ุดุงูƒู„ ู„ูŠุด ู„ุฃู† ู‡ูˆ ุงู„ุณุคุงู„ ุจุณูŠุท ุญุชู‰
364
+
365
+ 92
366
+ 00:08:12,140 --> 00:08:16,360
367
+ ุงู„ู„ุญุธุฉ ู‡ูˆ ุงู„ุณุคุงู„ direct ูˆ ู…ุงููŠ ู…ุดูƒู„ุฉ ุทูŠุจ ูƒู…ุงู† ุณุคุงู„
368
+
369
+ 93
370
+ 00:08:16,360 --> 00:08:21,100
371
+ ู„ูˆ ููŠ ุนู†ุฏูŠ ู…ุนุงุฏู„ุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ุงุญู†ุง ุดุงูŠููŠู†ู‡ 6x
372
+
373
+ 94
374
+ 00:08:21,100 --> 00:08:27,940
375
+ plus 9y ุจุชุณุงูˆูŠ 101ุทุจุนุง ูƒู„ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู‡ุฐุง ู…ุดุฑูˆุน ููŠ
376
+
377
+ 95
378
+ 00:08:27,940 --> 00:08:30,580
379
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู…ุตูˆุฑุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ุญูŠูƒูˆู† ุนู†ุฏูƒู… ูู…ุงููŠุด ุฏุงุนูŠ
380
+
381
+ 96
382
+ 00:08:30,580 --> 00:08:35,600
383
+ ู†ุทูˆู„ ูˆ ุงุญู†ุง ู†ูƒุชุจูŠู†ู‡ ุนู„ู‰ ุงู„ุตุจูˆุฑุฉ ุงูŠุด ุจุฏู†ุง ู†ุซุจุช ุงู†ู‡
384
+
385
+ 97
386
+ 00:08:35,600 --> 00:08:41,440
387
+ ุงู„ู…ุนุงุฏุฑ ุงู„ู„ูŠ ู‚ุฏุงู…ู†ุง ุงู„ู„ูŠ ู‡ูŠ 6x ุฒุงุฆุฏ 9y ุจุชุณุงูˆูŠ 101
388
+
389
+ 98
390
+ 00:08:41,440 --> 00:08:50,480
391
+ ุชุนู†ูŠ ุจุดูƒู„ ูˆุงุถุญ ุงู† ูŠุง x ูŠุง y is not an integer ูŠุนู†ูŠ
392
+
393
+ 99
394
+ 00:08:50,480 --> 00:08:55,020
395
+ ุจู…ุนู†ู‰ ูŠุง x ูŠุง y ุงูˆ ูƒู„ุงู‡ู…ุง ุงูˆ ูƒู„ุงู‡ู… ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง
396
+
397
+ 100
398
+ 00:08:55,020 --> 00:09:00,180
399
+ ุงุชู†ูŠู†not integer ู‡ู„ ุงู„ูƒู„ู…ุฉ ุฏู‡ ุตุญูŠุญ ุจุฏู†ุง ู†ุซุจุชู‡ ุจุฏู†ุง
400
+
401
+ 101
402
+ 00:09:00,180 --> 00:09:04,380
403
+ ู†ุซุจุชู‡ ูุงู„ุทุจูŠุนูŠ ุฃู†ู‡ ุฃุจุฏุฃ ุจ assume that ุฃู† ู‡ุฐุง ุงู„
404
+
405
+ 102
406
+ 00:09:04,380 --> 00:09:09,060
407
+ term ู‡ูˆ ุตุญูŠุญ ู‡ูˆ ูุนู„ุง ุญู‚ูŠู‚ูŠ ุฎู„ุงุต ูุฅุฐุง assume that
408
+
409
+ 103
410
+ 00:09:09,060 --> 00:09:14,880
411
+ ุฃู† 6x ุฒุงุฆุฏ 9y ู‡ูŠ ูุนู„ุง ุชุณุงูˆูŠ 101 is it true ูุนู„ุง
412
+
413
+ 104
414
+ 00:09:14,880 --> 00:09:19,400
415
+ ุชุณุงูˆูŠ 101 ุทูŠุจ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู…ุฏุฏู‡ ุชุณุงูˆูŠ 101 ูุฅุฐุง
416
+
417
+ 105
418
+ 00:09:19,400 --> 00:09:25,410
419
+ ุจูƒู„ ุจุณุงุทุฉ ู…ู…ูƒู† ู†ุฎุชุตุฑู†ุญุงูˆู„ ู†ุฎุชุตุฑ ู…ู†ู‡ุง ู‡ู†ุฌุฏ ุงู† ู‡ู†ุง
420
+
421
+ 106
422
+ 00:09:25,410 --> 00:09:28,470
423
+ ุงุชู†ูŠู†
424
+
425
+ 107
426
+ 00:09:28,470 --> 00:09:35,790
427
+ X ูƒู„ู‡ ู‚ุณู…ู†ุง ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุชู„ุงุชุฉ ุงุชู†ูŠู† X ุฒุงุฆุฏ ุชู„ุงุชุฉ Y
428
+
429
+ 108
430
+ 00:09:35,790 --> 00:09:39,170
431
+ ู‡ูŠู‡ู… integers ุงู„ู…ุนุงู…ู„ุงุช ุชุจุนุชู†ุง ุงู„ coefficients
432
+
433
+ 109
434
+ 00:09:39,170 --> 00:09:44,490
435
+ ุชุจุนุช ุงู„ terms ุชุจุนุชู†ุง integers ู„ูƒู† ู‚ุณู…ู†ุง ุนู„ู‰ ุงูŠุด
436
+
437
+ 110
438
+ 00:09:44,490 --> 00:09:50,880
439
+ ุนู„ู‰ some ู…ุด integer some fractionsome fraction 101
440
+
441
+ 111
442
+ 00:09:50,880 --> 00:09:55,500
443
+ ุนู„ู‰ 3 ู„ุง ูŠู…ูƒู† ุจุฃูŠ ุญุงู„ ู…ู† ุงู„ุฃุญูˆุงู„ ูƒู‚ูŠู…ุฉ ุชูƒูˆู†
444
+
445
+ 112
446
+ 00:09:55,500 --> 00:10:01,420
447
+ integer ู‡ุฐู‡ ูุนู„ูŠุง fraction ุทูŠุจ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ุณูˆุงุก
448
+
449
+ 113
450
+ 00:10:01,420 --> 00:10:08,440
451
+ x ุงูˆ y ู„ุง ูŠู…ูƒู† ุงู„ two terms ู‡ุฏูˆู„ุฉ ูŠูƒูˆู†ูˆุง integers
452
+
453
+ 114
454
+ 00:10:08,440 --> 00:10:12,360
455
+ ู„ุฃู† ู…ุฌู…ูˆุน two integers ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน integer ุทูŠุจ
456
+
457
+ 115
458
+ 00:10:12,360 --> 00:10:17,060
459
+ ู…ุฏุงู… ุงู„ู†ุงุชุฌ ู„ู…ุฌู…ูˆุน two terms fraction ุนู„ู‰ ุงู„ุฃู‚ู„
460
+
461
+ 116
462
+ 00:10:17,060 --> 00:10:21,410
463
+ ูˆุงุญุฏ ู…ู†ู‡ู… fractionู„ุงุฒู… ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ู…ู†ู‡ู… ูŠุทู„ุน
464
+
465
+ 117
466
+ 00:10:21,410 --> 00:10:24,570
467
+ fractions ูˆ ู…ู…ูƒู† ูƒู„ุงู‡ู…ุง ู…ู…ูƒู† ุงู„ุฃุชู†ูŠู† ูŠุทู„ุนูˆุง
468
+
469
+ 118
470
+ 00:10:24,570 --> 00:10:27,610
471
+ fractions ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ููŠ ูˆุงุญุฏ ุงู„ fraction ูˆ ู‡ุฐุง
472
+
473
+ 119
474
+ 00:10:27,610 --> 00:10:34,890
475
+ ูƒู„ ุงู„ู„ูŠ ุฃู†ุง ุจุฏูŠู‡ ุฃู†ู‡ or ู‡ูŠู‡ุง x or y is not an
476
+
477
+ 120
478
+ 00:10:34,890 --> 00:10:40,810
479
+ integer ุฎู„ุงุต ุญู‚ู‚ู†ุง ุงู„ or ุฃู† ูˆุงุญุฏ ู…ู†ู‡ู… ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆ
480
+
481
+ 121
482
+ 00:10:40,810 --> 00:10:44,730
483
+ ู‡ุฐุง ู…ู†ุทู‚ ุฌุฏุง ูˆุงุถุญ ู‡ู†ุง ุชู…ุงู…ุง ูุฅุฐุง ุงู„ู…ูŠุฉ ูˆุงุญุฏ ุนู„ู‰
484
+
485
+ 122
486
+ 00:10:44,730 --> 00:10:50,940
487
+ ุชู„ุงุชุฉ ุชู…ุงู…ุง ุจุงูŠู† ุฃู† ู‡ูŠ ู…ุด integerู‡ุฐู‡ ุฃุฑู‚ุงู… ุชู‚ุฏุฑ
488
+
489
+ 123
490
+ 00:10:50,940 --> 00:10:56,900
491
+ ุชุญุณูŠู‡ุง ู…ุจุงุดุฑุฉ ู‡ุฐุง ุฑู‚ู… ูˆุงุถุญ ุชู…ุงู…ุง not integer ูˆู‡ุฐุง
492
+
493
+ 124
494
+ 00:10:56,900 --> 00:11:02,460
495
+ ู…ุนู†ุงู‡ ุฅู†ู‡ ุญุชู‰ ู„ู…ุง ุจุฏูŠ ุฃุฌูŠุจ ุงุชู†ูŠู† X ุฃูˆ ุชู„ุงุชุฉ Y ูƒู„
496
+
497
+ 125
498
+ 00:11:02,460 --> 00:11:07,240
499
+ ูˆุงุญุฏ ู„ุญุงู„ ู‡ุฏูˆู„ ุงุชู†ูŠู† ู„ูˆ ู‡ู… integers ุฃุตู„ุง ู†ุฌู…ูˆุญู‡ู…
500
+
501
+ 126
502
+ 00:11:07,240 --> 00:11:11,320
503
+ ู„ุง ูŠู…ูƒู† ูŠุทู„ุน fraction ูุฅุฐุง automatically ูˆุงุญุฏ ู…ู†ู‡ู…
504
+
505
+ 127
506
+ 00:11:11,320 --> 00:11:15,970
507
+ ู„ุงุฒู… ูŠุญู‚ู‚ ู„ูŠู‡ ุงู„ fraction ุงู„ู„ูŠ ุธู‡ุฑ ููŠ ุงู„ู†ุงุชุฌูˆ ุฒูŠ
508
+
509
+ 128
510
+ 00:11:15,970 --> 00:11:20,710
511
+ ู…ุง ู‚ูˆู„ู†ุง ุฃูˆ ูƒู„ุงู‡ู…ุง ุฃูˆ ูƒู„ุงู‡ู…ุง ูƒูˆูŠุณ ูุฅุฐุง ู‡ุฐู‡ ุงู„
512
+
513
+ 129
514
+ 00:11:20,710 --> 00:11:24,590
515
+ direct ู‡ุฐู‡ ุงุณู…ู‡ุง direct ุนู„ู‰ ุทูˆู„ ุจู…ุณูƒ ุงู„ premise
516
+
517
+ 130
518
+ 00:11:24,590 --> 00:11:28,310
519
+ ุงู„ู„ูŠ ู…ูŠุนุทูŠู†ูŠ ุฅูŠุงู‡ุง ูˆ ู…ู†ู‡ุง ุจุดุชุบู„ ู…ุจุงุดุฑุฉ ุจู‚ุนุฏุด ุฃู„ุนุจ
520
+
521
+ 131
522
+ 00:11:28,310 --> 00:11:32,910
523
+ ููŠู‡ุง ูƒุชูŠุฑ ุจู‚ุนุฏุด ุฃุบู„ุจ ุญุงู„ูŠ ูƒุชูŠุฑ ุจุทุจู‚ ูˆ ุจุญุงูˆู„ ุฃูˆุตู„
524
+
525
+ 132
526
+ 00:11:32,910 --> 00:11:38,290
527
+ ู„ู„ู†ุชุฌ ุงู„ู…ุทู„ูˆุจ ุจุณ ููŠ ุงู„ indirect ู„ุฃ ุงู„ู…ูˆุถูˆุน ุจูŠุฎุชู„ู
528
+
529
+ 133
530
+ 00:11:38,290 --> 00:11:43,240
531
+ ุดูˆูŠุฉููŠ ุงู„ indirect ุงู„ุฃู…ูˆุฑ ุดูˆูŠุฉ ุจุชุฎุชู„ู ุฃุญูŠุงู†ุง ุงู†ุช
532
+
533
+ 134
534
+ 00:11:43,240 --> 00:11:46,900
535
+ ุงู„ direct ุจูŠูƒูˆู†ุด ูˆุงุถุญ ู…ุนุงูƒ ุจุชู‚ุฏุฑุด ุชุดุชุบู„ ุนู„ูŠู‡
536
+
537
+ 135
538
+ 00:11:46,900 --> 00:11:52,280
539
+ ุจุณู‡ูˆู„ุฉ ุจุณู„ุงุณุฉ ูู…ุถุทุฑ ูŠูƒูˆู† ุชุนุงู…ู„ูƒ ู…ุน ุงู„ conclusion
540
+
541
+ 136
542
+ 00:11:52,280 --> 00:11:57,760
543
+ ุฃูุถู„ ุชุนุงู…ู„ูƒ ุฃุญูŠุงู†ุง ุงู†ุช ููŠ ุนู†ุฏูƒ two terms ุงู„ two
544
+
545
+ 137
546
+ 00:11:57,760 --> 00:12:01,720
547
+ terms ู‡ุฏูˆู„ุฉ ู…ุน ู…ูŠู† ุชุจุฏุฃ ูˆุงุญุฏ ุงุณู…ู‡ premise ูˆุงุญุฏ
548
+
549
+ 138
550
+ 00:12:01,720 --> 00:12:05,320
551
+ ุงุณู…ู‡ conclusionุงู„ premise ุฅุฐุง ูˆุงู„ู„ู‡ ุจุณูŠุท ุชู‚ุฏุฑ
552
+
553
+ 139
554
+ 00:12:05,320 --> 00:12:09,820
555
+ ุชุชุนุงู…ู„ ู…ุนุงู‡ ุชู‚ุฏุฑ ุชุชุญู„ู„ู‡ ุจุญูŠุซ ุฃู†ู‡ ุชู‚ุฏุฑ ุชุทู„ุน ู…ู†ู‡ ุงู„
556
+
557
+ 140
558
+ 00:12:09,820 --> 00:12:13,260
559
+ conclusion ุฎูŠุฑ ูˆ ุจุฑูƒุฉ direct ู„ูƒู† ุฅุฐุง ูˆุฌุฏุช ุฃู† ุงู„
560
+
561
+ 141
562
+ 00:12:13,260 --> 00:12:20,140
563
+ conclusion ุฃุญุณู† ุฃุจุณุท ุฃุณู‡ู„ ู…ุนู†ุงุชู‡ ุงู„ุฃูุถู„ ุฃู†ูƒ ุชุจุฏุฃ
564
+
565
+ 142
566
+ 00:12:20,140 --> 00:12:24,320
567
+ ู…ู† ุงู„ุขุฎุฑ ูˆ ุชุฑุฌุน ุฑุฌูˆุน ู„ู„ุฃูˆู„ ุจุณ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู†ุง ู†ูƒูˆู†
568
+
569
+ 143
570
+ 00:12:24,320 --> 00:12:30,020
571
+ ู…ุงุฎุฏูŠู† ูˆ ู…ุฑูƒุฒูŠู† ุจุงู„ู†ุง ู…ู† ุงู„ุฌุฏูˆู„ููŠ ุงู„ุฌุฏูˆู„ ู„ู…ุง ุฃุฎุฏู†ุง
572
+
573
+ 144
574
+ 00:12:30,020 --> 00:12:32,640
575
+ ุงู„ implication ุฃุฐูƒุฑูƒูˆุง ุฃุฎุฏู†ุง ุญุงุฌุฉ ุงุณู…ู‡ุง inverse,
576
+
577
+ 145
578
+ 00:12:33,460 --> 00:12:38,200
579
+ converse, contrapositive ุฃูˆ contradiction ุงู„
580
+
581
+ 146
582
+ 00:12:38,200 --> 00:12:40,320
583
+ contrapositive ู‡ุฐู‡ ู‡ูŠ ุงู„ู„ูŠ ุจุฏู†ุง ุฅูŠุงู‡ุง ุงู„
584
+
585
+ 147
586
+ 00:12:40,320 --> 00:12:46,160
587
+ contrapositive ุฅูŠุด ูƒุงู†ุช ุจุชู‚ูˆู„ ุฅุฐุง P implies Q is
588
+
589
+ 148
590
+ 00:12:46,160 --> 00:12:50,140
591
+ true ุฅุฐุง
592
+
593
+ 149
594
+ 00:12:50,140 --> 00:12:59,160
595
+ negation Q implies negation P is trueุชุฐูƒุฑุชูˆู‡ุงุŸ ุจุณ
596
+
597
+ 150
598
+ 00:12:59,160 --> 00:13:05,480
599
+ ู‡ุงูŠ ุงู„ indirect ุฅู† ุฃุนูƒุณ ุงู„ conclusion ูˆ ุฃุซุจุช ุฅู†
600
+
601
+ 151
602
+ 00:13:05,480 --> 00:13:11,280
603
+ ุนูƒุณ ุงู„ conclusion ู‡ูŠุนุทูŠู†ูŠ ุนูƒุณ ุงู„ premise ุจุณ ุฅุฐุง
604
+
605
+ 152
606
+ 00:13:11,280 --> 00:13:13,700
607
+ ู‚ู„ุฑู†ุง ู†ูˆุตู„ู‡ุง ุฅุญู†ุง ุนุงุฑููŠู† ุฅู† ููŠู‡ุง ุงุณู…ุฉ
608
+
609
+ 153
610
+ 00:13:13,700 --> 00:13:18,740
611
+ contrapositive ุฅุฐุง ู‡ุฐู‡ ุตุญุŒ automatic ู‡ุฐู‡ ุตุญ ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:13:18,740 --> 00:13:21,700
615
+ ู‡ูŠ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ูƒุงู†ุช ู…ุทู„ูˆุจุฉ ุจุงู„ุฃุณุงุณ ุงู„ู„ูŠ ู‡ูŠ ู…ุทู„ูˆุจุฉ
616
+
617
+ 155
618
+ 00:13:21,700 --> 00:13:26,150
619
+ ุจุงู„ุฃุณุงุณ ุนุดุงู†ูƒ ุงุณู…ู‡ุง indirect ู„ูู†ุงู‡ุง ุดูˆูŠุฉูˆุงุถุญุฉุŸ
620
+
621
+ 156
622
+ 00:13:26,150 --> 00:13:31,590
623
+ ุชู…ุงู… ู‡ุชุดูˆู ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ุนู†ุฏูŠ if 3n plus 2 is odd
624
+
625
+ 157
626
+ 00:13:31,590 --> 00:13:35,790
627
+ premise ุจุฏู†ุง ู†ุซุจุช ุฅุฐุง ูƒุงู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุตุญูŠุญ ุฅุฐุง n
628
+
629
+ 158
630
+ 00:13:35,790 --> 00:13:40,630
631
+ ู„ุญุงู„ู‡ุง is odd ุทูŠุจ
632
+
633
+ 159
634
+ 00:13:40,630 --> 00:13:44,610
635
+ ู…ุงุญู†ุง ุชูˆูŠ ู„ู…ุง ูƒู†ุง ุจู†ุนูˆุฏ ููƒุฑุฉ ุฃู†ูŠ ุฃุนูˆุฏ ููŠ term ูƒุจูŠุฑ
636
+
637
+ 160
638
+ 00:13:44,610 --> 00:13:49,230
639
+ ู…ุฒุนุฌุฉ ู„ูƒู† ู„ู…ุง ุฃุนูˆุฏ ููŠ term ุตุบูŠุฑ ุจุงู„ 2k plus 1 ุฃุณู‡ู„
640
+
641
+ 161
642
+ 00:13:49,230 --> 00:13:55,160
643
+ ู„ูŠู‡ุŸ ูƒุชูŠุฑ ุฃุณู‡ู„ูุฅุฐุง ุฅู†ูŠ ุฃุชุนุงู…ู„ ู…ุน ุงู„ conclusion
644
+
645
+ 162
646
+ 00:13:55,160 --> 00:13:58,880
647
+ ุฃุณู‡ู„ ู…ู† ุฅู†ูŠ ุฃุชุนุงู…ู„ ู…ุน ุงู„ premise ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡
648
+
649
+ 163
650
+ 00:13:58,880 --> 00:14:03,040
651
+ ุงู„ุทุจูŠุนูŠ ุฃู†ูƒ ุชููƒุฑ ููŠ ุงู„ contrapositive ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด
652
+
653
+ 164
654
+ 00:14:03,040 --> 00:14:06,640
655
+ ุงู„ indirect ุงู„ indirect ุฅูŠุด ู‡ุชู‚ูˆู„ ู„ูŠู‡ ู‡ุชู‚ูˆู„ ู„ู…ุนู†ุชู‡
656
+
657
+ 165
658
+ 00:14:06,640 --> 00:14:15,140
659
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุนูƒุณู‡ุง ุชุตุจุญ if n is even negation
660
+
661
+ 166
662
+ 00:14:15,140 --> 00:14:16,820
663
+ even
664
+
665
+ 167
666
+ 00:14:19,970 --> 00:14:27,930
667
+ ุชู„ุงุชุฉ N plus two is even ุชู…ุงู… ุตุงุฑุช ู†ูุณ ุงู„ุณุคุงู„ ุงู„ู„ูŠ
668
+
669
+ 168
670
+ 00:14:27,930 --> 00:14:30,250
671
+ ุฌุงุจู„ู‡ ุงู„ู„ูŠ ุฌุงุจู„ู‡ ูƒุงู† ุนู† ุงู„ู€odd ุจุชู‡ู„ุฌุช ุนู† ุงู„ even
672
+
673
+ 169
674
+ 00:14:30,250 --> 00:14:35,270
675
+ ุงู„ู‚ุงู„ูŠุฉ ูˆุงุญุฏุฉ ุจุชุนูˆุฏ ู…ูƒุงู† ุงู„ N ุจูŠู‚ุงุด ุจุชู†ูŠู† K ุจุณ
676
+
677
+ 170
678
+ 00:14:35,270 --> 00:14:45,250
679
+ ุจุชู†ูŠู† K ูˆุฎู„ุตุช ุงู„ุฌุซุฉ ุงุชู†ูŠู† K ูุฅุฐุง N is even ูŠุนู†ูŠ N
680
+
681
+ 171
682
+ 00:14:45,250 --> 00:14:50,830
683
+ ุชุณุงูˆูŠ ุงุชู†ูŠู† Kูˆู‡ุฐุง ู…ุนู†ุงู‡ุง ุฃู† ุชู„ุงุชุฉ in plus two
684
+
685
+ 172
686
+ 00:14:50,830 --> 00:14:59,710
687
+ ุชุณุงูˆูŠ ุชู„ุงุชุฉ ููŠ ุงุชู†ูŠู† K plus two ูŠุนู†ูŠ ุชุณุงูˆูŠ ุณุชุฉ K
688
+
689
+ 173
690
+ 00:14:59,710 --> 00:15:09,690
691
+ plus two ูŠุนู†ูŠ ุชุณุงูˆูŠ ุงุชู†ูŠู† ููŠ ุชู„ุงุชุฉ K plus one ุทูŠุจ
692
+
693
+ 174
694
+ 00:15:09,690 --> 00:15:17,390
695
+ K ู‡ุฐู‡ ุฃุณุงุณุง integerุทูŠุจ ุงู†ุชุฌุฑ ููŠ ุซู„ุงุซุฉ ู…ุงุฒุงู„ุช ุงู†ุชุฌุฑ
696
+
697
+ 175
698
+ 00:15:17,390 --> 00:15:21,450
699
+ ุงู†ุชุฌุฑ ุฒุงุฆุฏ ูˆุงุญุฏ ุงู†ุชุฌุฑ ูŠุนู†ูŠ ูƒู„ ู‡ุฐู‡ ุจู‚ุฏุฑ ุงู‚ูˆู„ ุนู†ู‡ุง
700
+
701
+ 176
702
+ 00:15:21,450 --> 00:15:25,950
703
+ some other integer ุงุณู…ู‡ุง j ูˆุงู†ุง ุถุงู…ู† ุงู† ู‡ูŠ ุงู†ุชุฌุฑ
704
+
705
+ 177
706
+ 00:15:25,950 --> 00:15:30,290
707
+ ุนุฏุฏ ุตุญูŠุญ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฐู„ูƒ ุญุทูŠุชู‡ุง ุจุตูˆุฑุฉ two ููŠ some
708
+
709
+ 178
710
+ 00:15:30,290 --> 00:15:35,310
711
+ integer some other integer ุนุฏุฏ ุตุญูŠุญ ู…ุถุฑูˆู ููŠ ุงุชู†ูŠู†
712
+
713
+ 179
714
+ 00:15:35,310 --> 00:15:39,490
715
+ ุฎู„ุงุต ู‚ูˆู„ุฉ ูˆุงุญุฏุฉ ู…ุฏู‰ ู…ุถุฑูˆู ููŠ ุงุชู†ูŠู† ูˆู…ุด ู…ุฌู…ูˆุนุฉ ุฒุงุฆุฏ
716
+
717
+ 180
718
+ 00:15:39,490 --> 00:15:46,270
719
+ ูˆุงุญุฏ ูุฅุฐุง ู‡ุฐุง evenูุฅุฐุง ุงู„ term ู‡ุฐุง ู‡ูŠูƒ ุจู‡ุฐุง ุงู„ุดูƒู„
720
+
721
+ 181
722
+ 00:15:46,270 --> 00:15:54,920
723
+ ู‡ู†ุง is even ุงู†ุชู‡ู‰ ุงู„ุฃุซุจุงุช ุฃุซุจุชู†ุงุงู„ุญุงู„ุฉ ู‡ุฐู‡ by
724
+
725
+ 182
726
+ 00:15:54,920 --> 00:16:00,700
727
+ contradiction ุงูˆ by .. ุณู…ู†ู‡ุง ุงุญู†ุง ุงูŠุด ุงู„ ..
728
+
729
+ 183
730
+ 00:16:00,700 --> 00:16:03,520
731
+ contrapositive by contrapositive ูุฅุฐุง P employees
732
+
733
+ 184
734
+ 00:16:03,520 --> 00:16:09,700
735
+ Q is true ุชูุถู„ ุงู†ูƒ
736
+
737
+ 185
738
+ 00:16:09,700 --> 00:16:17,030
739
+ ุชุนู…ู„ analysis ู„ู„ premiseุนู†ุฏูƒ two terms ู…ุด ู‡ูŠูƒ ุจุฏูƒ
740
+
741
+ 186
742
+ 00:16:17,030 --> 00:16:21,890
743
+ ุชุซุจุช ุฃู† ุงู„ุฃูˆู„ ุญุฏูˆุซู‡ ูŠุคุฏูŠ ู„ุญุฏูˆุซ ุงู„ุชุงู†ูŠ ุทูŠุจ ุงู„ุฃูˆู„
744
+
745
+ 187
746
+ 00:16:21,890 --> 00:16:26,570
747
+ ุตุนุจ ุชุชุญู„ู„ู‡ ุฅูŠุด ุจุฏูƒ ุชุณูˆูŠู‡ ุชุชุทู„ุน ุนู„ู‰ ุงู„ุชุงู†ูŠ ุงู„
748
+
749
+ 188
750
+ 00:16:26,570 --> 00:16:29,750
751
+ conclusion ุงู„ุงุณุชู†ุชุงุฌ ุงู„ู„ูŠ ุจุฏูƒ ุชุตู„ู‡ ู‡ู„ ู…ู† ุงู„ุณู‡ู„ ุฃู†ูƒ
752
+
753
+ 189
754
+ 00:16:29,750 --> 00:16:33,730
755
+ ุชุญู„ูŠู„ู‡ ูŠูƒูˆู† ุฃุณู‡ู„ ุฅุฐุง ุฃุณู‡ู„ ุนู„ู‰ ุทูˆู„ ุฃุญูˆู„ู‡ุง ู…ู† ุงู„ุดูƒู„
756
+
757
+ 190
758
+ 00:16:33,730 --> 00:16:37,370
759
+ ู‡ุฐุง ู„ู„ุดูƒู„ ู‡ุฐุง ุฅุฐุง ุฃุซุจุชุช ุงู„ุดูƒู„ ู‡ุฐุง ููŠ ุงู„ุขุฎุฑ ุชูƒุชุจ by
760
+
761
+ 191
762
+ 00:16:37,370 --> 00:16:41,770
763
+ contrapositive ุฅุฐุง ุงู„ theorem is true ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡
764
+
765
+ 192
766
+ 00:16:42,910 --> 00:16:47,750
767
+ ุจุณ ูุงู†ุช ุนูŠู†ูƒ ู…ูŠุฒุงู†ูƒ ุฒูŠ ู…ุง ูŠู‚ูˆู„ูˆุงุŒ ุฅุฏู…ุงุฌูƒ ู‡ูˆ ุงู„ู„ูŠ
768
+
769
+ 193
770
+ 00:16:47,750 --> 00:16:52,490
771
+ ูŠู‚ูˆุฏูƒ ู‡ูˆ ู…ูŠู† ุงู„ุฃุณู‡ู„ุŸ ุฃุณู‡ู„ ุชุชุนุงู…ู„ ู…ุน ุงู„ premise ูˆู„ุง
772
+
773
+ 194
774
+ 00:16:52,490 --> 00:16:54,010
775
+ ุฃุณู‡ู„ ุชุชุนุงู…ู„ ู…ุน ุงู„ conclusionุŸ
776
+
777
+ 195
778
+ 00:16:58,170 --> 00:17:03,810
779
+ ุจุงู„ุธุจุท ูˆู…ุทู„ูˆุจ ู…ู†ูƒ ุงู†ูƒ ุชุซุจุช ุชุซุจุช ู…ุด ุงู†ูƒ ุงู†ุช ุชู‚ูˆู„ูŠ
780
+
781
+ 196
782
+ 00:17:03,810 --> 00:17:07,430
783
+ ุงู‡ ู…ุง ู‡ูŠ ุตุญ ู„ุฃ ุงู†ุง ุจู‚ูˆู„ูƒ ุงุซุจุชู„ูŠ ุงู† ู‡ูŠ ุตุญ ุทูŠุจ ุงู„
784
+
785
+ 197
786
+ 00:17:07,430 --> 00:17:11,130
787
+ premise ุตุนุจ ุงุชุญู„ู„ู‡ ุงูˆ ุตุนุจ ุงุชุนุงู…ู„ ู…ุนุงู‡ ูŠู…ูƒู† ูŠูƒูˆู†
788
+
789
+ 198
790
+ 00:17:11,130 --> 00:17:13,990
791
+ ุงู†ูƒ ุงุชุญู„ู„ ุงู„ conclusion ุงุณู‡ู„ ูุจุชุตูŠุฑ ู‡ู†ุง ุงู„
792
+
793
+ 199
794
+ 00:17:13,990 --> 00:17:21,010
795
+ indirect ุณุจูŠู„ ุงูุถู„ ู…ู† ุงู„ direct ู…ู† ุงู„ direct okay
796
+
797
+ 200
798
+ 00:17:21,010 --> 00:17:23,190
799
+ ูƒู…ุงู† ู…ุซุงู„ ุงุฐุง ูƒุงู†ุช
800
+
801
+ 201
802
+ 00:17:27,820 --> 00:17:32,660
803
+ x plus y greater than one hundred ุฅุฐุง ูƒุงู†ุช x ุฒุงุฆุฏ
804
+
805
+ 202
806
+ 00:17:32,660 --> 00:17:41,620
807
+ y ุฃูƒุจุฑ ู…ู† ู…ูŠุฉ ุจุฏู†ุง ู†ุซุจุช ุฅุฐุง x ุฃูƒุจุฑ ู…ู† ุฎู…ุณูŠู† ุฃูˆ y
808
+
809
+ 203
810
+ 00:17:41,620 --> 00:17:49,360
811
+ ุฃูƒุจุฑ ู…ู† ุฎู…ุณูŠู† ุจุฏูƒ ุชุซุจุช ุงู„ูƒู„ุงู… ู‡ุฐุงุฅุฐุง ูƒุงู†ุช X ุฒุงุฆุฏ Y
812
+
813
+ 204
814
+ 00:17:49,360 --> 00:17:54,700
815
+ ุฃูƒุจุฑ ู…ู† ู…ูŠุฉ ุฅุฐุง X ู„ุญุงู„ู‡ุง ุฃูƒุจุฑ ู…ู† ุฎู…ุณูŠู† ุฃูˆ Y ู„ุญุงู„ู‡ุง
816
+
817
+ 205
818
+ 00:17:54,700 --> 00:17:58,780
819
+ ุฃูƒุจุฑ ู…ู† ุฎู…ุณูŠู† ุจุญูŠุซ ุฃู† ูุนู„ู‹ุง ู…ุฌู…ูˆุญู‡ู… ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู†
820
+
821
+ 206
822
+ 00:17:58,780 --> 00:18:04,900
823
+ ู…ูŠุฉ ู…ุด ู‡ูŠูƒ ุทูŠุจ ูƒูŠู ุจุฏูƒ ุชุซุจุชู‡ุง direct ู…ุซู„ุง ู…ู† ู‡ู†ุง
824
+
825
+ 207
826
+ 00:18:04,900 --> 00:18:09,320
827
+ ู„ุญุงู„ู‡ุง ูŠุนู†ูŠ
828
+
829
+ 208
830
+ 00:18:09,320 --> 00:18:13,580
831
+ ูƒูŠู ุจุฏูƒ .. ุจุงู„ุธุจุท ูƒูŠู ุจุฏูƒ ุชู†ุทู„ู‚ ู…ู† ู‡ุฐู‡ ุงู„ุฌุฒุก ุตุนุจ
832
+
833
+ 209
834
+ 00:18:13,580 --> 00:18:19,100
835
+ ุงู†ุทู„ุงู‚ุชูƒ ุฃู†ูƒ ุชุจุฏุฃ ุญุงู„ูƒ ู…ู† ู‡ู†ุงููŠุด limits ู‡ุฐู‡ ุงู„ู‡ุง
836
+
837
+ 210
838
+ 00:18:19,100 --> 00:18:22,860
839
+ limits ุจุชู‚ุฏุฑ ุชุนุฑู ู‡ูŠ ุฅูŠุด ุฃู‚ุตู‰ ู‚ูŠู…ุฉ ุฅู„ู‡ุง ุฃูˆ ุฃู‚ู„
840
+
841
+ 211
842
+ 00:18:22,860 --> 00:18:27,120
843
+ ู‚ูŠู…ุฉ ุฅู„ู‡ุง ุตุญูŠุญ ู…ู† ุฎู„ุงู„ ุงู„ indirect ุงู„ู„ูŠ ู…ูƒุชูˆุจุฉ ู‡ู†ุง
844
+
845
+ 212
846
+ 00:18:27,120 --> 00:18:31,120
847
+ ุจู‚ูˆู„ูƒ ุฅุฐุง X ุฃูƒุจุฑ ู…ู† ุฎู…ุณูŠู† ูŠุนู†ูŠ ุฃู†ุช ุนุงุฑู ุฅู†ู‡ X ุฃู‚ู„
848
+
849
+ 213
850
+ 00:18:31,120 --> 00:18:35,760
851
+ ุฅุดูŠ ุฅู„ู‡ุง ุฎู…ุณูŠู† ุชู…ุงู… ุงู‡ frankly ู…ุด ู…ุดูƒู„ุฉ ุจุณ ุฃู†ุง
852
+
853
+ 214
854
+ 00:18:35,760 --> 00:18:38,880
855
+ ุฃุชูƒู„ู… ุฌุฏุงุด ู‚ูŠู…ุชู‡ุง ุงู„ limit ุงู„ threshold ุชุจุนุช
856
+
857
+ 215
858
+ 00:18:38,880 --> 00:18:42,620
859
+ ู‚ูŠู…ุชู‡ุง ู‡ู†ุง ูˆุงุถุญุฉ ู‡ู†ุง ู…ุงููŠุด ุฅุด ู…ุด ุจุงูŠู† ุนู†ุฏูƒ ู…ุงููŠุด
860
+
861
+ 216
862
+ 00:18:42,620 --> 00:18:46,620
863
+ ุฅุด ุจุงูŠู† ุนู†ุฏูƒุฃู†ุง ุฏู„ูˆู‚ุชูŠ ุจู‚ูˆู„ูƒ ุงุจุฏุงู„ูŠ ู…ู† X ุฒุงุฆุฏ Y
864
+
865
+ 217
866
+ 00:18:46,620 --> 00:18:50,920
867
+ ุจุชุณูŠู‚ ุฃูƒุจุฑ ู…ู† 100 ูŠุนู†ูŠ ุฅูŠุด ุงู„ูุฑุถูŠุฉ ุงู„ู„ูŠ ุจุฏู‡ ุฃูุฑุถู‡ุง
868
+
869
+ 218
870
+ 00:18:50,920 --> 00:18:53,800
871
+ ุงู„ุขู†ุŸ ุฅูŠุด ูƒูŠู ุจุฏูŠ ุฃูƒุชุจู‡ุงุŸ ู ุงู„ direct ู‡ู†ุง ูƒุชูŠุฑ
872
+
873
+ 219
874
+ 00:18:53,800 --> 00:18:56,720
875
+ ุตุนุจุŒ ูƒุชูŠุฑ ุตุนุจ ุชุชุนุงู…ู„ ู…ุน ุงู„ direct ูˆุงุถุญ ุฅู†ู‡ ุจุฏู†ุง
876
+
877
+ 220
878
+ 00:18:56,720 --> 00:19:01,060
879
+ ู†ุฑูˆุญ ู„ู…ูŠู†ุŸ ู„ ุงู„ indirect ุงู„ู„ูŠ ู‡ูˆ ุฃุญูˆู„ู‡ุง ุจุตูˆุฑุฉ
880
+
881
+ 221
882
+ 00:19:01,060 --> 00:19:10,620
883
+ negation Q employees negation P ุจุญูŠุซ ุฅู†ู‡ุง ุชุตุจุญู†ุงุฎุฏ
884
+
885
+ 222
886
+ 00:19:10,620 --> 00:19:16,360
887
+ ุงู„ุฌุฒุก ุจุนุฏูŠู† ู‡ุฐุง ูˆ ูŠุตุจุญ ู‡ูˆ ุงู„ุจุฏุงูŠุฉ ุจุณ ุฅุนูƒุณู‡ ุฅูŠุด
888
+
889
+ 223
890
+ 00:19:16,360 --> 00:19:25,700
891
+ ูŠุนู†ูŠ ุฅุนูƒุณู‡ุŸ ูŠุนู†ูŠ ู‡ุชุตุจุญ X ุฃุตุบุฑ ุฃูˆ ุชุณุงูˆูŠ ุฎู…ุณูŠู† and Y
892
+
893
+ 224
894
+ 00:19:25,700 --> 00:19:37,820
895
+ ุฃุตุบุฑ ุฃูˆ ูŠุณุงูˆูŠ ุฎู…ุณูŠู† ุฅุฐุง X ุฒุงุฆุฏ Y ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ ู…ูŠุฉ
896
+
897
+ 225
898
+ 00:19:40,270 --> 00:19:43,870
899
+ ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ 100 ุฃุตุจุญุช ุงู„ูุฑุถูŠุฉ ุฃูˆ ุงู„ theorem ุงู„๏ฟฝ๏ฟฝูŠ
900
+
901
+ 226
902
+ 00:19:43,870 --> 00:19:48,990
903
+ ุจุฏูƒ ุชุซุจุชู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ูƒุชูŠุฑ ุฃุณู‡ู„ ุฅุซุจุงุชู‡ุง ุงู†ุช ู‚ุงุนุฏ
904
+
905
+ 227
906
+ 00:19:48,990 --> 00:19:53,850
907
+ ุจุชู‚ูˆู„ ูƒู„ู‡ู… ุฃู‚ู„ ู…ู† 50 ุตุญ ูŠุนู†ูŠ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู…ูƒู†ุฉ ู„ู„ X
908
+
909
+ 228
910
+ 00:19:53,850 --> 00:20:07,810
911
+ ุฎู…ุณูŠู† and ุทุจุนุง ู‡ุฐู‡ ู„ X and ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู…ูƒู†ุฉ ู„ Y ู‡ุฐู‡
912
+
913
+ 229
914
+ 00:20:07,810 --> 00:20:13,540
915
+ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู…ูƒู†ุฉูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ูƒุฃูƒุจุฑ ู‚ูŠู…ุฉ ู‡ูŠุคุฏู‰ ุงู†
916
+
917
+ 230
918
+ 00:20:13,540 --> 00:20:21,620
919
+ X ุฒุงุฆุฏ Y ู‡ุชุณุงูˆูŠ 100 ู…ุซุจุชุฉ
920
+
921
+ 231
922
+ 00:20:21,620 --> 00:20:25,510
923
+ ู„ุญุงู„ู‡ุง ุจุณ ููŠ ุงู„ุจุฏุงูŠุฉ ู…ุงูƒู†ุชุด ู…ุซุจุชุฉ ู„ุญุงู„ู‡ุงููŠ ุงู„ุฃูˆู„
924
+
925
+ 232
926
+ 00:20:25,510 --> 00:20:28,330
927
+ ูƒุงู† ุตุนุจ ุฃู†ูƒ ุชุชุนุงู…ู„ ู…ุนู‡ุงุŒ ู‡ุงู„ูˆุงุฌู‡ุฉ ุตุงุฑุช ุณู‡ู„ุฉุŒ ู„ูŠุดุŸ
928
+
929
+ 233
930
+ 00:20:28,330 --> 00:20:31,790
931
+ ู„ุฃู† ููŠ ุนู†ุฏูƒ limitsุŒ ุจุชู‚ุฏุฑ ู…ู† ุงู„ limits ู‡ุฐู‡ ุชุดูˆู
932
+
933
+ 234
934
+ 00:20:31,790 --> 00:20:35,930
935
+ the worst caseุŒ ุฅูŠุด ุฃุณูˆุฃ ุญุงู„ุฉ ู…ู…ูƒู†ุฉ ุฃู†ู‡ุง ุชูƒูˆู†
936
+
937
+ 235
938
+ 00:20:35,930 --> 00:20:40,030
939
+ ุชุณุงูˆูŠ ุฎู…ุณูŠู†ุŒ ู‡ุฐู‡ ุฃูƒุจุฑ ู‚ูŠู…ุฉ ู…ู…ูƒู†ุฉุŒ ู…ุน ุฃู† ุฐู„ูƒ ู‡ูŠ ุฃุฌู„
940
+
941
+ 236
942
+ 00:20:40,030 --> 00:20:42,150
943
+ ู…ู† ุงู„ุฎู…ุณูŠู†ุŒ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู† ุงู„ู…ุฌู…ูˆุน ู‡ูŠูƒูˆู† ุฃุฌู„ ู…ู†
944
+
945
+ 237
946
+ 00:20:42,150 --> 00:20:47,670
947
+ ู…ูŠุฉ ูƒู…ุงู†ุŒ ูˆุงุถุญุฉุŒ ุจุงูŠู†ุฉุŒ ุณู‡ู„ุฉ ุฅุซุจุงุชู‡ุงุŒ ุจุณ ุฃู†ูƒ ุชุจุฏุฃ
948
+
949
+ 238
950
+ 00:20:47,670 --> 00:20:54,760
951
+ ู…ู† ู‡ู†ุงู…ุงู„ู‡ุงุด ู…ุนุงู„ู… ุฒู‰ ู…ุง ุจูŠู‚ูˆู„ูˆุง ู…ุงู„ู‡ุงุด ูุฑุถูŠุฉ ุชุจุฏุฃ
952
+
953
+ 239
954
+ 00:20:54,760 --> 00:21:01,220
955
+ ุชุดุชุบู„ ู…ู†ู‡ุง ูˆุงุถุญุฉ ุงู…ุชู‰ ุจุฏูƒ ุชุฑูˆุญ ู„ู„ indirect ุงูˆ ุงู„
956
+
957
+ 240
958
+ 00:21:01,220 --> 00:21:05,160
959
+ contrapositive ูุฅุฐู† ู‚ุฏุฑู†ุง ู†ุซุจุชู‡ุง ูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุณุงุจู‚ุฉ
960
+
961
+ 241
962
+ 00:21:05,160 --> 00:21:12,700
963
+ ุทุจุนุง ุดุฑุญ ูˆุงุถุญ ูˆ ุจุงูŠู† okay ุงู„ุงู† ุงู„ vacuous proof ุงูˆ
964
+
965
+ 242
966
+ 00:21:12,700 --> 00:21:18,980
967
+ ุงู„ูุงุฑุบ ุงู„ุงุซุจุงุช ุงู„ูุงุฑุบ ุจู…ุนู†ู‰ ุฒู‰ ู…ุง ู†ู‚ูˆู„ ู‡ู‰ ุงู„ูƒู„ุงู…
968
+
969
+ 243
970
+ 00:21:18,980 --> 00:21:24,910
971
+ ูุงุฑุบุฅุซุจุงุช ุงู„ูุงุฑุบ ู‡ุฐุง ุฅูŠุด ุฒูŠ ุญุงู„ุฉ ุฒูŠ ุงู„ู„ูŠ ู‚ุฏุงู…ู†ุง
972
+
973
+ 244
974
+ 00:21:24,910 --> 00:21:36,330
975
+ ู‡ู†ุง for all in if in is both odd and even ุฅุฐุง ูˆู„ุง
976
+
977
+ 245
978
+ 00:21:36,330 --> 00:21:41,530
979
+ ุจุชูุฑุฌ ู…ุนุงูŠุง ุฅุฐุง ุชุทู„ุน ุฒูŠ ู…ุง ุชุทู„ุน ู„ูŠุด ู„ุฃู†ู‡ ุจุฏู†ุงู‡ุง ู…ู†
980
+
981
+ 246
982
+ 00:21:41,530 --> 00:21:47,990
983
+ ุงู„ุฃูˆู„ false ุตุญ
984
+
985
+ 247
986
+ 00:21:47,990 --> 00:21:56,450
987
+ ุจุฏู†ุงู‡ุง false ูุฅุฐุงูุงุฑุบ ู‡ู†ุง ุฅูŠุด ุงู„ Q ูƒู„ุงู… ูุงุฑุบ ูˆู„ุง
988
+
989
+ 248
990
+ 00:21:56,450 --> 00:21:58,770
991
+ ุจูŠูุฑุฌ ู…ุนุงูŠุง ุชุทู„ุน ุงู„ true ูˆ ุชุทู„ุน ุงู„ false ุฃู†ุง ู…ุด
992
+
993
+ 249
994
+ 00:21:58,770 --> 00:22:04,650
995
+ ุญุงุฌุฉ ุฃุบู„ุจ ุญุงู„ูŠ ุงู„ุดูŠุนุฉ ุจุฏุฃุช ุงู„ false ูุฅุฐุง ุงู„
996
+
997
+ 250
998
+ 00:22:04,650 --> 00:22:09,470
999
+ implication ุงู„ true ุฎู„ุตุช ุงู„ู†ุธุฑูŠุฉ ุตุญ ู…ุงุดูŠ ู†ุธุฑูŠุฉ ุตุญ
1000
+
1001
+ 251
1002
+ 00:22:09,470 --> 00:22:14,930
1003
+ ููƒุฑุฉ ุงู„ู„ูŠ ู„ู…ุง ูŠู†ูˆุฑ ุงู„ู…ู„ุญ ู‡ูŠ ู‡ูŠ ู†ูุณู‡ุง ุฏูŠ vicious ุฃูˆ
1004
+
1005
+ 252
1006
+ 00:22:14,930 --> 00:22:20,210
1007
+ ูƒู„ุงู… ูุงุฑุบ ุฃู†ุช ู‡ู†ุง ุฃุตุจุญุช ู…ูุฑุบ ู…ู† ู…ุนู†ุงู‡ุงุงู„
1008
+
1009
+ 253
1010
+ 00:22:20,210 --> 00:22:24,610
1011
+ conclusion ุงู„ู„ูŠ ุจุฏูƒ ุชุฑูˆุญู„ู‡ okay ุฅูŠุด ู‡ูŠูุฑุฌ ู…ุนุงูƒ ุฅู†ู‡
1012
+
1013
+ 254
1014
+ 00:22:24,610 --> 00:22:29,590
1015
+ ูŠุทู„ุน true ูˆู„ุง falseุŸ ูู…ุนู†ู‰ ุฐู„ูƒ ุฅู†ู‡ ุงู„ุฅุซุจุงุช ูุงุฑุบ
1016
+
1017
+ 255
1018
+ 00:22:29,590 --> 00:22:34,130
1019
+ ุงู†ุช .. ุฅูŠุด ุจุฏูƒ ุชุนู…ู„ ุฅุซุจุงุชุŸ ูŠุนู†ูŠ ุฅูŠุด ุจุฏูƒ ุชุซุจุชุŸ ุจุฏูƒ
1020
+
1021
+ 256
1022
+ 00:22:34,130 --> 00:22:37,970
1023
+ ุชุจุฏุฃ ุชุนู…ู„ ุฒูŠ ุชูˆูŠ ู†ุจุฏุฃ ุฎุทูˆุงุช ูˆ ู†ุญู„ ูˆ ู†ุดุชุบู„ ู„ุฅูŠุดุŸ
1024
+
1025
+ 257
1026
+ 00:22:37,970 --> 00:22:43,990
1027
+ ูŠุนู†ูŠ ุจุฏูƒ ุชุซุจุช ู…ู†ูŠ ุตุญ ูˆู„ุง ุบู„ุทุŸ ู…ุด ู‡ูŠูุฑุฌ ุตุญ ุทูŠุจ ุฃู†ุช
1028
+
1029
+ 258
1030
+ 00:22:43,990 --> 00:22:46,930
1031
+ ุทู„ุน ู…ุนุงูƒ ุตุญ ูˆุทู„ุน ู…ุนุงู‡ ุบู„ุท ููŠ ุงู„ุญู„ุชูŠู† ู‡ุชู‚ูˆู„ูˆุง ุฅู†ู‡
1032
+
1033
+ 259
1034
+ 00:22:46,930 --> 00:22:50,840
1035
+ ุงู„ู†ุธุฑูŠุฉ ุตุญูŠุญุฉููŠ ุงู„ุญุงู„ุชูŠู† ู‡ุชู‚ูˆู„ ุงู† ุฏุฑุงูŠุฉ ุตุญูŠุฉ ูุฅุฐุง
1036
+
1037
+ 260
1038
+ 00:22:50,840 --> 00:22:57,960
1039
+ automatically ุฎู„ุงุต ุฅุฐุง ุงู„ P is false ุงู†ุชู‡ู‰ ุงู„ุฅุซุจุงุช
1040
+
1041
+ 261
1042
+ 00:22:57,960 --> 00:23:02,780
1043
+ ู…ูŠู† ุงู„ู„ูŠ ุฌุงู„ู†ุง ุงู„ูƒู„ุงู… ู‡ุฐุง ุงู„ if then ุงู„ if then
1044
+
1045
+ 262
1046
+ 00:23:02,780 --> 00:23:06,420
1047
+ ุงู†ุช ููŠ ุงู„ู†ู‡ุงูŠุฉ ู‚ุงุนุฏ ุจุชู‚ูˆู„ if then
1048
+
1049
+ 263
1050
+ 00:23:08,390 --> 00:23:12,890
1051
+ ูŠุนู†ูŠ implication ูŠุนู†ูŠ ุจุฏุฃุช ุจ false ู…ุด ู‡ูŠูุฑุฌ ู…ุนุงูƒ
1052
+
1053
+ 264
1054
+ 00:23:12,890 --> 00:23:17,250
1055
+ ุงู„ Q ุฅุด ู…ุง ุชุทู„ุน ูู…ุฏุงู… ู…ุด ู‡ุชูุฑุฌ ู„ูŠุด ุจุฏูƒ ุชุบู„ุจ ุญุงู„ูƒ ูˆ
1056
+
1057
+ 265
1058
+ 00:23:17,250 --> 00:23:21,010
1059
+ ุชุฑูˆุญ ุชุซุจุชู‡ุงุŸ ุฅูŠุด ุจุฏูƒ ุชุซุจุชุŸ ุชุซุจุช ุฅู† ู‡ูŠ ุตุญ ูˆู„ุง ุชุซุจุช
1060
+
1061
+ 266
1062
+ 00:23:21,010 --> 00:23:25,830
1063
+ ุฅู† ู‡ูŠ ุบู„ุทุŸ ุจูุฑุฌุดูุฅุฐู† ู‡ุฐู‡ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุฎู„ุงุต
1064
+
1065
+ 267
1066
+ 00:23:25,830 --> 00:23:33,010
1067
+ ู…ู†ุชู‡ูŠุฉ ู…ู† ุฃูˆู„ู‡ุง vacously is it true ุจุทุฑูŠู‚ุฉ ู…ูุฑุบุฉ
1068
+
1069
+ 268
1070
+ 00:23:33,010 --> 00:23:37,250
1071
+ ู…ู† ุงู„ู…ุญุชูˆู‰ ุจู…ุนู†ู‰ ุงู† ุงู†ุง ู„ูŠุด ุจุฏูƒ ุชุฌูŠุจ ุญู„ ู‡ูˆ ูุงุฑุบ
1072
+
1073
+ 269
1074
+ 00:23:37,250 --> 00:23:42,690
1075
+ ุงู„ุญู„ ูุงุฑุบ ุงุด ู…ุง ุญุฏูŠู‡ู‡ ู…ุงู„ูˆุด ู…ุนู†ู‰ ุญู„ ูุงุฑุบ ูุฅุฐู†
1076
+
1077
+ 270
1078
+ 00:23:42,690 --> 00:23:48,630
1079
+ ุจุฏุงูŠุชู‡ ุฌุงุจ ุงู„ุญู„ ูˆ ุฎู„ุต ุชู…ุงู… ูˆุงุถุญุฉุŸู‡ุฐู‡ ุทุจุนุง ุฃุญูŠุงู†ุง
1080
+
1081
+ 271
1082
+ 00:23:48,630 --> 00:23:52,410
1083
+ ุจุชูƒูˆู† logic ุจุชูƒูˆู† ุฒูŠ ู…ุณุงุฆู„ ุงู„ logic ู‡ูŠูƒ ุงู†ูƒ ุงู†ุช
1084
+
1085
+ 272
1086
+ 00:23:52,410 --> 00:23:56,810
1087
+ ุจุฏุฃุช ุจุญุงู„ุฉ ู‡ูŠ ู…ุด ู‡ูŠูุฑุฌ ุงู†ุช ูˆ ุงูŠู† ุจุฏูƒ ุชุฑูˆุญ ุงู†ุง ู…ู…ูƒู†
1088
+
1089
+ 273
1090
+ 00:23:56,810 --> 00:24:01,130
1091
+ ุงู‚ูˆู„ูƒ ู…ู† ู‡ุฐู‡ ุงุซุจุชู„ูŠ ูˆ ุงู„ุงุซุจุงุช ุงู„ู„ูŠ ุทุงู„ุจู‡ ู…ุนุฌุฒ ุทุจุนุง
1092
+
1093
+ 274
1094
+ 00:24:01,130 --> 00:24:04,630
1095
+ ุงู†ุช ู‡ุชุถู„ูƒ ุชููƒุฑ ููŠ ููƒุฑุฉ ุงู† ุงู†ุช ุจุฏูƒ ุชูุถุชู‡ ูˆ ุฑุงูŠุญ ุฌุงูŠ
1096
+
1097
+ 275
1098
+ 00:24:04,630 --> 00:24:08,250
1099
+ ุฑุงูŠุญ ุฌุงูŠ ูˆ ู‡ูŠ ุงู„ููƒุฑุฉ ู…ุด ู‡ู†ุง ุงู„ููƒุฑุฉ ููŠ ุงู„ุจุฏุงูŠุฉ
1100
+
1101
+ 276
1102
+ 00:24:08,250 --> 00:24:14,110
1103
+ ุงู„ุจุฏุงูŠุฉ ู„ู…ุง ูŠู†ูˆุฑ ุงู„ู…ู„ุญุงู„ุจุฏุงูŠุฉ ู„ู…ุง ูŠู†ูˆุฑ ุงู„ู…ู„ุญุŒ
1104
+
1105
+ 277
1106
+ 00:24:14,110 --> 00:24:18,670
1107
+ ุงู„ู…ุซู„ ุงู„ู„ูŠ ูƒุงู† ุจุญูƒูŠ ุทุจ ุฅุฐุง ูƒุงู† ุจู†ูˆุฑุด ุงู„ู…ู„ุญ ู…ุด
1108
+
1109
+ 278
1110
+ 00:24:18,670 --> 00:24:23,250
1111
+ ู‡ูŠูุฑุฌ ุฅูŠุด ุงู„ู„ูŠ ุจุนุฏู‡ุŸ ุฅูŠุด ุจุนุฏู‡ ู…ุด ู‡ูŠูุฑุฌุŸ ูŠุนู†ูŠ ู…ู…ูƒู†
1112
+
1113
+ 279
1114
+ 00:24:23,250 --> 00:24:27,330
1115
+ okay ู†ูˆุฑ ุงู„ู…ู„ุญ ูˆู„ุง ู…ุง ู†ูˆุฑุŸ okay ุฎู„ุงุต ู‡ู†ุฌุญูƒูˆุง ู…ุงุดูŠ
1116
+
1117
+ 280
1118
+ 00:24:27,330 --> 00:24:32,190
1119
+ ุฃูˆ ุฃู‚ูˆู„ูƒูˆุง ู„ู…ุง ูŠู†ูˆุฑ ุงู„ู…ู„ุญ ู‡ู†ุฌุญูƒูˆุงุŒ ู…ุงู†ุฌุญุด ุญุฏุงุŒ ููŠ
1120
+
1121
+ 281
1122
+ 00:24:32,190 --> 00:24:37,290
1123
+ ุงู„ุญุงู„ุชูŠู† ุจุชุธุจุทุŒ ุตุญูŠุญุŸ ููŠ ุงู„ุญุงู„ุชูŠู† ุจุชุธุจุทุงู†ุช
1124
+
1125
+ 282
1126
+ 00:24:37,290 --> 00:24:42,310
1127
+ ู…ุงุจุชุดูˆููˆุด ููŠ ู…ุฏุงุฑุณ ู„ู…ุง ูŠู†ุฌุญ ุญุฏ ู…ุซู„ุงุŸ ุตุญูŠุญ ูุงู„ู‚ุตุฏ
1128
+
1129
+ 283
1130
+ 00:24:42,310 --> 00:24:46,790
1131
+ ุงู†ู‡ ุงู„ุญุงู„ุชูŠู† ูƒ conclusion ุจุธุจุทู‡ ู the casually is
1132
+
1133
+ 284
1134
+ 00:24:46,790 --> 00:24:52,750
1135
+ true ุทูŠุจ ุงู„ trivial ุงู„ trivial ุงู„ู„ูŠ ู‡ูˆ ุชุงูู‡ ุจู…ุนู†ู‰
1136
+
1137
+ 285
1138
+ 00:24:52,750 --> 00:25:00,360
1139
+ ุงู†ู‡ ุชุงูู‡ ุงูˆ ุนุฏูŠู… ุงู„ูุงุฆุฏุฉู‡ู†ุงูƒ ูุงุฑุบ ูˆู‡ู†ุง ุชุงูุน ุฃูˆ
1140
+
1141
+ 286
1142
+ 00:25:00,360 --> 00:25:03,120
1143
+ ุนุฏูŠู… ุงู„ูุงุฆุฏุฉ ุนุฏูŠู… ุงู„ูุงุฆุฏุฉ ุฅู…ุชู‰ ุจู†ู‚ูˆู„ ุนุฏูŠู… ุงู„ูุงุฆุฏุฉ
1144
+
1145
+ 287
1146
+ 00:25:03,120 --> 00:25:09,200
1147
+ ุฅุฐุง ูƒู†ุช ุฃู†ุง ุจุนุฑู ุฃุตู„ุง ู…ู† ุงู„ุฃุณุงุณ ู‚ูŠู…ุฉ Q ุงู„
1148
+
1149
+ 288
1150
+ 00:25:09,200 --> 00:25:12,480
1151
+ conclusion ุงู„ู„ูŠ ู…ุทู„ูˆุจ ุฃุซุจุชู‡ ุฃู†ุง ุนุงุฑูู‡ ู‡ูˆ ู…ุซุจุช
1152
+
1153
+ 289
1154
+ 00:25:12,480 --> 00:25:17,180
1155
+ ูู…ุนู†ู‰ ุฐู„ูƒ ุจูุฑู‚ุด ู…ุนุงูŠุง ุฅูŠุด ุงู„ premise ุงู„ู„ูŠ ุฅู†ุช
1156
+
1157
+ 290
1158
+ 00:25:17,180 --> 00:25:22,360
1159
+ ุนุทุชู†ูŠ ุฅูŠู‡ุง ุฅุฐุง ูƒุงู† ุฃู†ุง ุฌุงุฏุฑ ุฃุซุจุช Q ู„ุญุงู„ู‡ุง ุจุฏูˆู†
1160
+
1161
+ 291
1162
+ 00:25:22,360 --> 00:25:28,650
1163
+ ู…ุนุฑูุฉ ุงู„ PP ุนุฏูŠู…ุฉ ุงู„ูุงุฆุฏุฉ ุตุงุฑุช ู…ุด ุดุงูƒ .. trivial
1164
+
1165
+ 292
1166
+ 00:25:28,650 --> 00:25:35,030
1167
+ ุนุฏูŠู…ุฉ ุงู„ูุงุฆุฏุฉ P ุฃู†ุง ู…ุด ู…ุญุชุงุฌู‡ุง ู‡ูŠ ู…ุซุจุชุฉ ุงู„ Q
1168
+
1169
+ 293
1170
+ 00:25:35,030 --> 00:25:40,110
1171
+ ู„ุญุงู„ู‡ุง ู…ุซุจุชุฉ ู…ุด ู…ุญุชุงุฌุฉ P ู…ุด ู…ุญุชุงุฌุฉ P ุฃุจุฏุฃ .. ุฃุจุฏุฃ
1172
+
1173
+ 294
1174
+ 00:25:40,110 --> 00:25:44,890
1175
+ ุญุงู„ูŠ ุฃู†ู‡ assume that P is true ูˆ ุฃุจุฏุฃ ุฃู†ุทู„ู‚ ู…ู†ู‡ุง
1176
+
1177
+ 295
1178
+ 00:25:44,890 --> 00:25:50,160
1179
+ ู„ุฃู†ู‡ ู…ุด ู…ุญุชุงุฌ ุฃู†ุทู„ู‚ ู…ู†ู‡ุง ุงู„ Q ู…ุซุจุชุฉ ู„ุญุงู„ู‡ุงู…ุซุงู„ if
1180
+
1181
+ 296
1182
+ 00:25:50,160 --> 00:25:53,640
1183
+ it's raining today then three is an odd number
1184
+
1185
+ 297
1186
+ 00:25:53,640 --> 00:25:57,980
1187
+ ูˆุงู„ู„ู‡ ุชุดุชูŠ ูˆู„ุง ู…ุง ุชุดุชูŠ ู…ุด ูุงุฑู‚ุฉ ู…ุนุงูŠุง ุงู„ premise
1188
+
1189
+ 298
1190
+ 00:25:57,980 --> 00:26:00,920
1191
+ ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ูŠุนู†ูŠ ุฃู†ุง ู…ุด ู…ุญุชุงุฌ ู‡ู„ูˆุฌุฏ ุฃุฑูˆุญ ุงู„ุงุณุชุงุฑุฉ
1192
+
1193
+ 299
1194
+ 00:26:00,920 --> 00:26:04,000
1195
+ ูˆ ุฃูุชุญ ุนุดุงู† ุฃุดูˆู ู‡ูŠ ูุนู„ุง raining ูˆู„ุง it's not
1196
+
1197
+ 300
1198
+ 00:26:04,000 --> 00:26:09,520
1199
+ raining ู…ุด ู…ุญุชุงุฌ ู„ุฃู† ุงู„ู„ูŠ ุจุนุฑูู‡ ุฃู† ุงู„ุชู„ุงุชุฉ is odd
1200
+
1201
+ 301
1202
+ 00:26:09,520 --> 00:26:14,440
1203
+ even ุจู‚ุฏุฑ ุฃุญุทู‡ุง ุจุตูˆุฑุฉ ุงุชู†ูŠู† K ุฒุงุฆุฏ ูˆุงุญุฏ ุฎู„ุงุต is
1204
+
1205
+ 302
1206
+ 00:26:14,440 --> 00:26:22,500
1207
+ odd is odd ุฎู„ุงุตุจุบุถ ุงู„ู†ุธุฑ ุนู† ุฅูŠุด ุงู„ูุฑุถูŠุฉ ุงู„ู„ูŠ ุจุฏู‡
1208
+
1209
+ 303
1210
+ 00:26:22,500 --> 00:26:27,100
1211
+ ูŠุงู†ูŠ ุฃู†ุทู„ู‚ ู…ู†ู‡ุง ุงู„ูุฑุถูŠุฉ ู…ุงู„ู‡ุงุด ุนู„ุงู‚ุฉ ููŠู‡ุง ุณูˆุงุก ุตุญ
1212
+
1213
+ 304
1214
+ 00:26:27,100 --> 00:26:33,140
1215
+ ูˆู„ุง ุบู„ุท ูŠุนู†ูŠ ุงูุฑุถ ูุนู„ุง ุฏู†ูŠุง ุจุชุดุชูŠ ุชู„ุงุชุฉ odd number
1216
+
1217
+ 305
1218
+ 00:26:33,140 --> 00:26:38,380
1219
+ ุทุจ ู„ุฃ ู…ุงุจุชุดุชูŠุด ูˆ ุจุฑุถู‡ ุชู„ุงุชุฉ is odd number ุชู‚ุฑูŠุจ
1220
+
1221
+ 306
1222
+ 00:26:38,380 --> 00:26:43,400
1223
+ ูˆุงุถุญุฉ okay ูู‡ุฐู‡ ุงู„ trivia ู„ูŠู‡ ุจู†ุณู…ูŠู‡ุง is true
1224
+
1225
+ 307
1226
+ 00:26:43,400 --> 00:26:44,560
1227
+ ุงู„ู†ุธุฑูŠุฉ ุชุงุนุชู†ุง
1228
+
1229
+ 308
1230
+ 00:26:51,290 --> 00:26:55,410
1231
+ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู…ุงุชูŠู†ูŠู‡ ู‡ู†ุง ุฅุฐุง ุฅูŠุด ุทุงู„ุจ if n is the
1232
+
1233
+ 309
1234
+ 00:26:55,410 --> 00:26:58,690
1235
+ sum of two primes number ุฅุฐุง ูƒุงู†ุช n ู‡ูŠ ุนุจุงุฑุฉ ุนู†
1236
+
1237
+ 310
1238
+ 00:26:58,690 --> 00:27:05,970
1239
+ ู…ุฌู…ูˆุนุฉ two primes n ู‡ูŠ ุนุจุงุฑุฉ ุนู† P1 plus P2 ูˆ ุงู„ P
1240
+
1241
+ 311
1242
+ 00:27:05,970 --> 00:27:10,510
1243
+ ู‡ุฏูˆู„ุฉ primes
1244
+
1245
+ 312
1246
+ 00:27:10,510 --> 00:27:18,190
1247
+ ูƒูˆูŠุณ ุฅูŠุด ุทุงู„ุจ then either n is odd or n is even
1248
+
1249
+ 313
1250
+ 00:27:20,210 --> 00:27:24,410
1251
+ ุจูุฑู‚ุด ู…ุนุงู‡ ู‡ูŠ ู‡ุงู„ูˆุฌุฉ ุจูŠู‚ูˆู„ูƒ ู…ุนู†ุงู‡ุง ุฅุฐุง ูƒุงู† ูุนู„ุง ุฅู†
1252
+
1253
+ 314
1254
+ 00:27:24,410 --> 00:27:34,290
1255
+ ู‡ูŠ ู…ุฌู…ูˆุน two primes even if is even or odd ุทุจ ู…ุง
1256
+
1257
+ 315
1258
+ 00:27:34,290 --> 00:27:40,590
1259
+ ู‡ูˆ ุตุญูŠุญ ู…ุงู‡ูŠ ุตุญูŠุญ ุจุบุถ ุงู„ู†ุธุฑ ุฅุฐุง ูƒุงู†ุช in ู‡ูŠ ูุนู„ุง
1260
+
1261
+ 316
1262
+ 00:27:40,590 --> 00:27:45,270
1263
+ ู…ุฌู…ูˆุน two primes ูˆู„ุง ู…ุด ู…ุฌู…ูˆุน two primesู‡ูŠ ุงู† ุงูƒูŠุฏ
1264
+
1265
+ 317
1266
+ 00:27:45,270 --> 00:27:48,790
1267
+ ู…ุงู„ู‡ุงุด ุญุงู„ุฉ ุชุงู„ุชุฉ ู‡ูŠ either odd or even ููŠ ุญุงู„ุฉ
1268
+
1269
+ 318
1270
+ 00:27:48,790 --> 00:27:52,130
1271
+ ุชุงู„ุชุฉ ู…ุงููŠุด ุญุงู„ุฉ ุชุงู„ุชุฉ ุงุฐุง ู‡ูŠ integer ูู‡ูŠ ู‡ูŠ ุชูƒูˆู†
1272
+
1273
+ 319
1274
+ 00:27:52,130 --> 00:27:56,850
1275
+ either odd or even ูˆู‡ูˆ ุจุงุฏูŠ for all integer ู„ูƒู„
1276
+
1277
+ 320
1278
+ 00:27:56,850 --> 00:28:03,650
1279
+ ู‚ูŠู… ุงู„ู‚ูŠู… ุงู„ุตุญูŠุญุฉ ุงู† ุจุฏูƒ ุชุซุจุช ุงู† ู‡ูŠ odd or even ุทุจ
1280
+
1281
+ 321
1282
+ 00:28:03,650 --> 00:28:07,650
1283
+ ู…ุง ู‡ูŠ ู…ู† ุงู„ุฃุณุงุณ odd ุงูˆ even ุจุบุถ ุงู„ู†ุธุฑ ู‡ูŠ ู…ุฌู…ูˆุน two
1284
+
1285
+ 322
1286
+ 00:28:07,650 --> 00:28:10,920
1287
+ primes ูˆู„ุง ู…ุด ู…ุฌู…ูˆุน two primesูˆู„ุง ู…ุด ู…ุฌู…ูˆุน two
1288
+
1289
+ 323
1290
+ 00:28:10,920 --> 00:28:14,720
1291
+ primesุŸ ู„ูŠุดุŸ ู„ุฃู† ุฃู†ุช ุจุชุชูƒู„ู… ู‡ู†ุง ุนู† ุญุงู„ุฉ ุฃู† q ู‡ูŠ
1292
+
1293
+ 324
1294
+ 00:28:14,720 --> 00:28:28,300
1295
+ ุฃุตู„ุง true ู‡ูŠู‡ุง true P ุงู„ุดูŠุฉ ุจุชูุฑุฌุด ูŠุนู†ูŠ P ู‡ู†ุง
1296
+
1297
+ 325
1298
+ 00:28:28,300 --> 00:28:33,930
1299
+ ูˆุงู„ู„ู‡ ู„ูŠุณุช ู…ุฌู…ูˆุนุฉ two primesrelation ุตุญูŠุญุฉ ุทูŠุจ ู„ุฃ
1300
+
1301
+ 326
1302
+ 00:28:33,930 --> 00:28:36,790
1303
+ ู‡ูŠ ูุนู„ุง ู…ุฌู…ูˆุนุฉ of primes ุจุฑุถู‡ ุงู„ relation ุตุญูŠุญุฉ
1304
+
1305
+ 327
1306
+ 00:28:36,790 --> 00:28:43,210
1307
+ ู„ูŠุด ุจู…ุนุฑูุฉ ุฃู† q ุฃุตู„ุง ุจุญูŠุซ ุฐุงุชู‡ุง ู‡ูŠ true ูู…ุนู†ู‰ ุฐู„ูƒ
1308
+
1309
+ 328
1310
+ 00:28:43,210 --> 00:28:48,030
1311
+ ุฃู† ุงู„ relation ุตุญ ุฎู„ุงุต ู‡ูŠ ุตุญุฉ trivially ุงู„ theorem
1312
+
1313
+ 329
1314
+ 00:28:48,030 --> 00:28:52,870
1315
+ is true ุตุญูŠุญุฉ ู…ุซุจุชุฉ ุฎู„ุต ุฃุซุจุชู†ุงู‡ุง ุชู…ุงู…
1316
+
1317
+ 330
1318
+ 00:28:58,550 --> 00:29:03,130
1319
+ ู‡ุฐู‡ ุงู„ู†ุธุฑุชูŠู† ุงู„ .. ุงู„ .. ุงู„ vicious way ุงู„ trivial
1320
+
1321
+ 331
1322
+ 00:29:03,130 --> 00:29:08,350
1323
+ ูƒุชูŠุฑ ุชุณุชุฎุฏู… ู…ุด ููŠ ุนู…ู„ูŠุฉ ุฒูŠ ู‡ุฐู‡ ุงู„ุญุณุงุจูŠุฉ ุจุชุณุชุฎุฏู…
1324
+
1325
+ 332
1326
+ 00:29:08,350 --> 00:29:13,630
1327
+ ุงูƒุชุฑ ููŠ ุงู„ tricks ููŠ ุงู„ุญูŠุงุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู†ุช ู…ุงุฎุฏ ุจุงู„ูƒ
1328
+
1329
+ 333
1330
+ 00:29:13,630 --> 00:29:19,020
1331
+ ุงู† ุงุตู„ุง ุงู†ุช ุฑุงูŠุญ ุชุซุจุช ุญุงุฌุฉ ู…ุซุจุชุฉูˆุงู†ุช ุชุงูŠุน ููŠ ุฅูŠุดุŸ
1332
+
1333
+ 334
1334
+ 00:29:19,020 --> 00:29:22,440
1335
+ ููŠ ุงู†ุทู„ุงู‚ูƒ ู…ู† ุงู„ premise ู…ุงุณูƒ ุงู„ premise ูˆ ู‚ุงุนุฏ
1336
+
1337
+ 335
1338
+ 00:29:22,440 --> 00:29:26,320
1339
+ ุจุชู„ูู‡ ุจุงู„ุฏูˆุฑ ูˆ ุจุชู„ูู‡ ุจุงู„ุฏูˆุฑ ุทูŠุจ ุฅู…ุชู‰ ุงู„ .. ุงู„ ..
1340
+
1341
+ 336
1342
+ 00:29:26,320 --> 00:29:29,960
1343
+ ุงู„ ุงู†ู‡ุง ุฏูŠ ุจุชูƒูˆู† ู…ุฌู…ูˆุน two primesุŸ ุทูŠุจ ุฅู…ุชู‰ ุจุชูƒูˆู†ุด
1344
+
1345
+ 337
1346
+ 00:29:29,960 --> 00:29:32,820
1347
+ two primesุŸ ุทูŠุจ ุฅู…ุชู‰ .. ุฏุฎู„ุช ุญุงู„ูƒ ููŠ ุงุญุชู…ุงู„ุงุช ูˆ
1348
+
1349
+ 338
1350
+ 00:29:32,820 --> 00:29:35,720
1351
+ ุฏุฎู„ุช ุญุงู„ูƒ ููŠ possibilities ูƒุชูŠุฑุฉ ู‡ุชุฑูˆุญ ุชู‚ูˆู„ ุทูŠุจ
1352
+
1353
+ 339
1354
+ 00:29:35,720 --> 00:29:39,040
1355
+ ุจุฏูŠ ุฃูุฑุถ ุงู„ุฃูˆู„ ุฅุฐุง ูƒุงู† ู‡ู… ูุนู„ุง two primes ุทูŠุจ ุฅูŠุด
1356
+
1357
+ 340
1358
+ 00:29:39,040 --> 00:29:42,200
1359
+ ู‡ุตูŠุฑ ู…ุนุงูƒุŸ ุทูŠุจ ู„ุฃ ู‡ู… ุฅุฐุง ูƒุงู†ูˆุด two primes ุฅูŠุด ู‡ุตูŠุฑ
1360
+
1361
+ 341
1362
+ 00:29:42,200 --> 00:29:45,390
1363
+ ู…ุนุงูƒุŸู‡ุชู„ุงู‚ูŠ ุญุงู„ูƒ ุจุชุถูŠุน ุญุงู„ูƒ ูˆ ุจุชุทูˆูŠ ุญุงู„ูƒ ุนู„ู‰
1364
+
1365
+ 342
1366
+ 00:29:45,390 --> 00:29:49,670
1367
+ ุงู„ูุงุถูŠ ุงู†ุช ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ ู‡ุชุตู„ู‚ ุงู„ู†ุงุชุฌ .. ุงู„ู†ุงุชุฌ
1368
+
1369
+ 343
1370
+ 00:29:49,670 --> 00:29:53,950
1371
+ ุจูŠู‚ูˆู„ูƒ ุงู†ู‡ ุงู† ู…ุนู†ุงุชู‡ ู‡ูŠ ูŠุง ูุฑุฏูŠ ูŠุง ุฒูˆุฌูŠ ุทุจ ู…ุงู‡ูŠ ู…ู†
1372
+
1373
+ 344
1374
+ 00:29:53,950 --> 00:29:56,610
1375
+ ุงู„ุฃุณุงุณ ูŠุนู†ูŠ ูุนู„ุง ู…ู†ุทู‚ูŠ ูŠุง ูุฑุฏูŠ ูŠุง ุฒูˆุฌูŠ ู„ูŠุด ูˆ ููŠ ุฅุด
1376
+
1377
+ 345
1378
+ 00:29:56,610 --> 00:30:02,990
1379
+ ุชุงู„ุชุŸ ู…ุงููŠุด ุฅุด ุชุงู„ุช ุชู…ุงู… ุงู„ุขู† ุงู„ contradictionุงู„ู€
1380
+
1381
+ 346
1382
+ 00:30:02,990 --> 00:30:06,570
1383
+ Contradiction ุงู„ู€ Contradiction ู‡ูŠ ุฃูƒุชุฑ ุญุงู„ุฉ ู…ู…ูƒู†
1384
+
1385
+ 347
1386
+ 00:30:06,570 --> 00:30:11,250
1387
+ ุชูŠุฌูŠ ููŠู‡ุง ุฅุซุจุงุชุงุช ุฃูƒุชุฑ ุญุงู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชู†ุงู‚ุถ ุงู„ ..
1388
+
1389
+ 348
1390
+ 00:30:11,250 --> 00:30:14,910
1391
+ ุงู„ุชู†ุงู‚ุถ ุงู„ method ู‡ุฐู‡ ุนุดุงู† ู†ุนู…ู„ ููŠู‡ุง proving ู„ P
1392
+
1393
+ 349
1394
+ 00:30:14,910 --> 00:30:20,850
1395
+ ุนู†ุฏูƒ premise ุฃุนุทุงูƒ ุฅูŠุงู‡ุง ูˆ ุจุฏูƒ ุชุซุจุช ุฃู† ู‡ูŠ ุตุญ ูู‡ุฐู‡
1396
+
1397
+ 350
1398
+ 00:30:20,850 --> 00:30:25,250
1399
+ ุนุงุฏุฉ ุญุชู‰ ุทุฑูŠู‚ุฉ ุงู„ุณุคุงู„ ุจุชูƒูˆู†ุด ุฒูŠ ู…ุง ุงู†ุช ู…ุชุฎูŠู„ if
1400
+
1401
+ 351
1402
+ 00:30:25,250 --> 00:30:29,910
1403
+ then ู„ุฃ ุจุชูƒูˆู†ุด if then ุจูŠุนุทูŠูƒ ู…ุนุทุฃ ูˆ ุจูŠู‚ูˆู„ูƒ ู‡ูˆ ุตุญ
1404
+
1405
+ 352
1406
+ 00:30:29,910 --> 00:30:35,980
1407
+ ูˆู„ุง ุบู„ุท ุจุณุฅุซุจุช ู„ูŠ ุฅู† ู‡ุฐุง ุตุญ ุทุจ ุฅุฐุง ุฅูŠุด ู…ุงููŠุด ุฅุฐุง
1408
+
1409
+ 353
1410
+ 00:30:35,980 --> 00:30:42,340
1411
+ ุฅูŠุด ู‡ูŠ ู‡ูŠูƒ ู…ุงููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง ุฅุฐุง ุฅูŠุด ุญุงุฌุฉ ุฅุซุจุชู‡ุง ู…ุด
1412
+
1413
+ 354
1414
+ 00:30:42,340 --> 00:30:45,920
1415
+ if then ุชู…ุงู… ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุฏู†ุง ู†ุซุจุช ู‡ุฐุง ุงู„ุทุฑูŠู‚ุฉ
1416
+
1417
+ 355
1418
+ 00:30:45,920 --> 00:30:53,280
1419
+ ุงู„ู„ูŠ ุฃุซุจุช P ุจู†ูุฑุถ ุนูƒุณู‡ุง P ู†ูุณู‡ุง ุฃู†ุง ู…ุด ุนุงุฑู ูˆูŠู†
1420
+
1421
+ 356
1422
+ 00:30:53,280 --> 00:30:58,540
1423
+ ุจุชู‡ูˆุฏูŠู†ูŠู…ุด ุนุงุฑู ุฅูŠุด ู„ุงุฒู… ุฃุซุจุช ู…ู†ู‡ุง ๏ฟฝ๏ฟฝูƒู† ู„ู…ุง ูŠู‚ูˆู„
1424
+
1425
+ 357
1426
+ 00:30:58,540 --> 00:31:03,320
1427
+ ุฃูุฑุถ ุนูƒุณู‡ุง ุนูƒุณู‡ุง ู‡ุฐุง ุจุฏูŠ ุฃุซุจุช ู…ู† ุฎู„ุงู„ู‡ ุฅู†ู‡ ุตุงุฑ
1428
+
1429
+ 358
1430
+ 00:31:03,320 --> 00:31:08,780
1431
+ ุชู†ุงู‚ุถ ููŠ ุงู„ู†ุงุชุฌ ู‡ู†ุงุฎุฏ ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ู‡ุชูˆุถุญ ุนูƒุณู‡ุง
1432
+
1433
+ 359
1434
+ 00:31:08,780 --> 00:31:18,480
1435
+ ุงู„ู…ูุฑูˆุถ ู…ู†ุทู‚ูŠ ุฅู†ู‡ ูŠุนุทูŠู†ูŠ ุนูƒุณ ุงู„ P ุตุญ P given ุฅู† ู‡ูŠ
1436
+
1437
+ 360
1438
+ 00:31:18,480 --> 00:31:22,880
1439
+ ุชุณูˆูŠ ูƒุฐุง ุฃู†ุช ู‡ุชู‚ูˆู„ ุนูƒุณู‡ุง ุงู„ู…ูุฑูˆุถ ุฅู†ู‡ุง ู„ูˆ ุชุณูˆูŠ ูƒุฐุง
1440
+
1441
+ 361
1442
+ 00:31:23,600 --> 00:31:28,180
1443
+ ู…ุด ู‡ูŠูƒุŸ ู‡ุชุชูุงุฌุฃ ุงู†ู‡ ุนูƒุณ ุงู„ู„ูŠ ุงู†ุช ู…ูุชุฑุถ ุงู†ู‡ ูŠุทู„ุน ู„ุง
1444
+
1445
+ 362
1446
+ 00:31:28,180 --> 00:31:33,420
1447
+ ูŠุณุงูˆูŠ ูƒุฐุง ุทู„ุน ุจูŠุณุงูˆูŠ ูƒุฐุงุทุจ ูƒูŠู ุงู„ู†ุงุชุฌ ุชู†ุงู‚ุถ ู…ุน
1448
+
1449
+ 363
1450
+ 00:31:33,420 --> 00:31:38,000
1451
+ ู†ูุณู‡ ูุนู…ู„ูŠุฉ ุงู„ุชู†ุงู‚ุถ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุชุญุฏุซ ูˆ ุงู„ู„ูŠ ู‡ู†ุดุชุบู„
1452
+
1453
+ 364
1454
+ 00:31:38,000 --> 00:31:40,740
1455
+ ุนู„ู‰ ูˆุทุฑู‡ุง ูˆ ู‡ู†ุดูˆู ุงูŠุด ูƒูŠู ุงู†ุง ู…ู…ูƒู† ุงุนู…ู„ ู‡ุฐุง ุงู„ูƒู„ุงู…
1456
+
1457
+ 365
1458
+ 00:31:40,740 --> 00:31:43,200
1459
+ ู…ู† ุฎู„ุงู„ ุงู„ุฃู…ุซู„ ุงู„ุฃู…ุซู„ ุงู„ู„ูŠ ู‡ุชูˆุถุญู‡ุง ุจุณ ู‚ุงุนุฏูŠู† ุงุญู†ุง
1460
+
1461
+ 366
1462
+ 00:31:43,200 --> 00:31:49,500
1463
+ ุจู†ููƒุฑ ุจุงู„ู…ู†ุทู‚ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู…ู†ุทู‚ูŠุฉ ุงุฐุง ูุนู„ุง ุฃุซุจุชู†ุง ุงู†ู‡
1464
+
1465
+ 367
1466
+ 00:31:49,500 --> 00:31:53,160
1467
+ ุตุงุฑ ุชู†ุงู‚ุถ ููŠ ุงู„ู†ุงุชุฌ ุงู†ุง ูƒู†ุช ุฑุงูŠุญ ููŠ ุงุชุฌุงู‡ ู…ุนูŠู† ูˆ
1468
+
1469
+ 368
1470
+ 00:31:53,160 --> 00:31:58,220
1471
+ ุงุชูุงุฌุฃุช ุงู†ู‡ ู„ุง ู‡ูˆ ุนูƒุณ ู‡ูˆ ุงู„ุนูƒุณ ููŠ ุชู†ุงู‚ุถ ุงู„ุชู†ุงู‚ุถ
1472
+
1473
+ 369
1474
+ 00:31:58,220 --> 00:32:03,190
1475
+ ู‡ุฐุง ู‡ูŠู‚ูˆุฏู†ูŠ ุงู† ู‡ุฐู‡ ุตุงุฑุช falseุตุญ ู‡ุฐู‡ false ุงู†ุชู‡ู‰
1476
+
1477
+ 370
1478
+ 00:32:03,190 --> 00:32:10,130
1479
+ ุงู„ุฌุฒุก ู‡ุฐุง false ุนุงุฑููŠู† ุงูŠุด ูŠุนู†ูŠ ุงู† q false ู†ุฑุฌุน
1480
+
1481
+ 371
1482
+ 00:32:10,130 --> 00:32:17,450
1483
+ ู„ู„ุญุงู„ุฉ ุชุงุนุชู†ุง ู„ู„ุญุงู„ุฉ
1484
+
1485
+ 372
1486
+ 00:32:17,450 --> 00:32:19,890
1487
+ ุงู„ู„ูŠ ุงุญู†ุง ุดุบุงู„ูŠู† ุนู„ูŠู‡ุง ุงู†ู‡ ู‡ุฐู‡ ุงุซุจุชู†ุง ุงู† ู‡ูŠ false
1488
+
1489
+ 373
1490
+ 00:32:19,890 --> 00:32:24,950
1491
+ ุทุจ ู‡ูŠ ุงูŠุด ูƒุงู†ุช ุงู„ premise ุชุงุนุชู‡ุงnegation P ู…ุด ู‡ุฐู‡
1492
+
1493
+ 374
1494
+ 00:32:24,950 --> 00:32:27,150
1495
+ ุงู„ูุฑุถูŠุฉ ุงู„ู„ูŠ ุงุญู†ุง ูุฑุถู†ุงู‡ุง ุงู†ุง ู…ุงุจุฏุฃุชุด ุจุงู„ูุฑุถูŠุฉ
1496
+
1497
+ 375
1498
+ 00:32:27,150 --> 00:32:31,790
1499
+ ุงู„ุตุญูŠุญุฉ ุงู†ุง ุจุฏูŠ ุงุซุจุช ุงู„ุตุญูŠุญุฉ ุจุณ ูุฑุถุช ุนูƒุณู‡ุง ูู…ุนู†ู‰
1500
+
1501
+ 376
1502
+ 00:32:31,790 --> 00:32:36,590
1503
+ ุฐู„ูƒ ุงู†ู‡ negation P ูˆู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ู†ุง ุทู„ุน ู‡ุฐู‡ false
1504
+
1505
+ 377
1506
+ 00:32:36,590 --> 00:32:43,230
1507
+ ู„ุฃู†ู‡ ุทู„ุนุช ุงู† Q ูˆ negation Q ุงู„ุชุงู†ูŠ ุงุชุญู‚ู‚ูˆุง ุทุจ ูƒูŠู
1508
+
1509
+ 378
1510
+ 00:32:43,230 --> 00:32:48,550
1511
+ Q ูˆ negation Q ุฃุฎุฏู†ุงู‡ุง ุณุงุจู‚ุง ุงูŠ
1512
+
1513
+ 379
1514
+ 00:32:50,130 --> 00:32:54,710
1515
+ proposition and ุงู„ negation ุชุจุนู‡ false ูุฅุฐุง ู‡ุฐู‡
1516
+
1517
+ 380
1518
+ 00:32:54,710 --> 00:32:58,590
1519
+ false ู‡ุชู†ูุณูƒ ุงู„ false ู‡ูŠ false ูˆู‡ูŠ false ู‡ูŠ ุงู„ุญุงู„ุฉ
1520
+
1521
+ 381
1522
+ 00:32:58,590 --> 00:33:02,110
1523
+ ุชู†ุชู‡ูŠ ู…ู† ุงู„ false ุงู„ Q is false ู‡ูŠ ูˆุงุญุฏุฉ ูˆู‡ูŠ
1524
+
1525
+ 382
1526
+ 00:33:02,110 --> 00:33:08,150
1527
+ ุงู„ุชุงู†ูŠุฉ ุทุจ ุฅู…ุชู‰ ุงู„ู†ุธุฑูŠุฉ ุจุชูƒูˆู† ุตุญูŠุญุฉ ู‡ู†ุง ู„ุฃ ู‡ูŠ
1528
+
1529
+ 383
1530
+ 00:33:08,150 --> 00:33:14,630
1531
+ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ุฅู…ุชู‰ ู‡ุชูƒูˆู† true ุฅุฐุง ูƒุงู†ุช ุจ false
1532
+
1533
+ 384
1534
+ 00:33:14,630 --> 00:33:19,490
1535
+ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฅู† ุงู„ term ู‡ุฐุง ู„ุงุฒู… ูŠูƒูˆู† falseุทุจ ุฅุฐุง
1536
+
1537
+ 385
1538
+ 00:33:19,490 --> 00:33:26,250
1539
+ ูƒุงู†ุช negation P false ูุฅุฐุง P is true ุฅุฐุง P is true
1540
+
1541
+ 386
1542
+ 00:33:26,250 --> 00:33:30,350
1543
+ ุชู…ุงู…ุŸ ู‡ูŠูƒ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู…ู†ุทู‚ูŠ ุญุชู‰ ุงู„ู„ุญุธุฉ ูƒูŠู ุจุฏูŠ
1544
+
1545
+ 387
1546
+ 00:33:30,350 --> 00:33:33,890
1547
+ ุฃุทุจู‚ู‡ ุนู…ู„ูŠุฉ ุชุทุจูŠู‚ู‡ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุชุจูŠู† ุงู„ุฃู† ููŠ ุงู„ุฃู…ุซู„ุฉ
1548
+
1549
+ 388
1550
+ 00:33:33,890 --> 00:33:38,730
1551
+ ูˆู†ุดูˆู
1552
+
1553
+ 389
1554
+ 00:33:38,730 --> 00:33:42,870
1555
+ ุฅูŠุด ููƒุฑุฉ ุฅู†ู‡ ุฃู†ุง ู…ูุชุฑุถ ุฅู† ู‡ูŠ ุชุทู„ุน negation P ูˆ
1556
+
1557
+ 390
1558
+ 00:33:42,870 --> 00:33:46,670
1559
+ ุงุชูุงุฌุฃุช .. negation Q ูˆ ุงุชูุงุฌุฃุช ุฅู† ู‡ูŠ ุทู„ุนุช Q ู‡ู†ุดูˆู
1560
+
1561
+ 391
1562
+ 00:33:46,670 --> 00:33:49,800
1563
+ ู‡ุฐุง ุงู„ูƒู„ุงู…ู„ุงุญุธ ุงูŠุด ุจูŠุณุฃู„ู†ูŠ ุงูŠุด ูŠุนุทูŠูƒ theorem ุนู„ู‰
1564
+
1565
+ 392
1566
+ 00:33:49,800 --> 00:33:56,080
1567
+ ุทูˆู„ ุฑูˆุช ุงูˆ square root of two is a rational ุงุซุจุช
1568
+
1569
+ 393
1570
+ 00:33:56,080 --> 00:34:00,460
1571
+ ุทุจ ุงุฐุง ุงูŠุด ุนุดุงู† ุงุนุฑู ุงุซุจุช ู‡ูŠ ู‡ูŠูƒ ูุงุด ุงุฐุง ุงูŠุด ูุงุด
1572
+
1573
+ 394
1574
+ 00:34:00,460 --> 00:34:06,940
1575
+ if then ู‡ูŠ ู‡ูŠูƒ ุฎู„ุงุต ุชู…ุงู… ุจุฏู†ุง ู†ุดูˆู ุงูŠุด ูŠุนู†ูŠ ูƒู„ู…ุฉ
1576
+
1577
+ 395
1578
+ 00:34:06,940 --> 00:34:13,380
1579
+ ุงูˆู„ุง rational ู„ู…ุง ุงู‚ูˆู„ ุงู† ุงู„ุฑู‚ู… rational ูŠุนู†ูŠ ุจู‚ุฏุฑ
1580
+
1581
+ 396
1582
+ 00:34:13,380 --> 00:34:21,200
1583
+ ุงุญุทู‡ ุจุตูŠุบุฉ a over p over bุจุฏูˆู† ู…ุง ูŠูƒูˆู† ููŠ ุฃูŠ
1584
+
1585
+ 397
1586
+ 00:34:21,200 --> 00:34:27,220
1587
+ common between them ูŠุนู†ูŠ ูุฑุถูŠุชู‡ ู…ู† ุงู„ุฃุณุงุณ ููŠ ุญุงู„ุชู‡
1588
+
1589
+ 398
1590
+ 00:34:27,220 --> 00:34:31,660
1591
+ ุงู„ุฃุจุณุท ุฃู†ุง ู…ุจุณุท ูˆู„ุง ุฃู‚ุตู‰ ุญุฏ ุจู…ุนู†ู‰ ุฅู†ู‡ ู„ุง ูŠูˆุฌุฏ ุฃูŠ
1592
+
1593
+ 399
1594
+ 00:34:31,660 --> 00:34:35,820
1595
+ ุนุงู…ู„ ู…ุดุชุฑูƒ between them ุฅุฐุง ูŠูˆุฌุฏ ุนุงู…ู„ ู…ุดุชุฑูƒ ุตุงุฑุช
1596
+
1597
+ 400
1598
+ 00:34:35,820 --> 00:34:43,440
1599
+ irrational ูˆุฅุฐุง ุจู‚ุฏุฑุด ุฃุญุท ุงู„ุฑู‚ู… in ู…ุซู„ุง in ู‡ุฐู‡
1600
+
1601
+ 401
1602
+ 00:34:43,440 --> 00:34:50,100
1603
+ ุจู‚ุฏุฑุด ุฃุญุทู‡ุง ุจุตูŠุบุฉูƒุณุฑ ุนุดุฑูŠ ุฃูˆ ูƒุณุฑ ุงุชูŠุงุฏูŠ ูƒุณุฑ ุงุชูŠุงุฏูŠ
1604
+
1605
+ 402
1606
+ 00:34:50,100 --> 00:34:54,160
1607
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ูุฅุฐุง ู‡ูŠ ุงู„ rational ู…ุนู†ุงุชู‡ ุฃู†ู‡ุง ู„ูŠุณุช
1608
+
1609
+ 403
1610
+ 00:34:54,160 --> 00:34:59,460
1611
+ rational rational ู„ู‡ุง ุชุนุฑูŠู ูˆุงุญุฏ ุจุณ ุจู‚ุฏุฑ ุงุญุทู‡
1612
+
1613
+ 404
1614
+ 00:34:59,460 --> 00:35:05,920
1615
+ ุจุตูŠุบุฉ numerator ุนู„ู‰ denominator ุจุณุท ุนู„ู‰ ู…ู‚ุงู… ููŠ
1616
+
1617
+ 405
1618
+ 00:35:05,920 --> 00:35:12,170
1619
+ ุฃุจุณุท ุตูˆุฑุฉูุฅุฐู† ุฅุฐุง ู…ุงู‚ุฏุฑุชุด ุฃุญุทู‡ุง ุจุณุท ุนู„ู‰ ู…ู‚ุงู… ู‡ูŠ
1620
+
1621
+ 406
1622
+ 00:35:12,170 --> 00:35:16,090
1623
+ ู„ูŠุณุช rational ุฅุฐุง ู‚ุฏุฑุช ุฃุญุทู‡ุง ุจุณุท ุนู„ู‰ ู…ู‚ุงู… ูˆู„ูƒู†
1624
+
1625
+ 407
1626
+ 00:35:16,090 --> 00:35:21,770
1627
+ ูŠูˆุฌุฏ ุนุงู…ู„ ู…ุดุชุฑูƒ ูู‡ูŠ ุจุฑุถู‡ ู„ูŠุณุช rational ูˆุงุถุญุฉุŸ ุชู…ุงู…
1628
+
1629
+ 408
1630
+ 00:35:21,770 --> 00:35:28,130
1631
+ ูุฅุฐุง ุงู„ุชุนุฑูŠู ุฅู†ู‡ุง ุชูƒูˆู† A ุนู„ู‰ B ูˆู„ุง ูŠูˆุฌุฏ ุนุงู…ู„ ู…ุดุชุฑูƒ
1632
+
1633
+ 409
1634
+ 00:35:28,130 --> 00:35:35,890
1635
+ ุจูŠู† A ูˆB ู…ู…ุชุงุฒ ู…ู† ู‡ู†ุง ู‡ู†ู†ุทู„ู‚ okayุฌูŠุฏ ุฌุฏุง ูุฅุฐุง
1636
+
1637
+ 410
1638
+ 00:35:35,890 --> 00:35:42,510
1639
+ ู‡ู†ุจุฏุฃ ุงู†ู‡ ู…ุด in irrational ู‡ู†ุจุฏุฃ ุงู† ุฌุฐุฑ ุงุชู†ูŠู† ู‡ูˆ
1640
+
1641
+ 411
1642
+ 00:35:42,510 --> 00:35:46,350
1643
+ ุงู„ู„ูŠ rational ุฅูŠุด ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ุฃู†ุง ุฑูˆุญุช ู„ negation P
1644
+
1645
+ 412
1646
+ 00:35:46,350 --> 00:35:51,630
1647
+ ู‡ูŠ ูƒุงู† ุจุฏู„ูŠ ุฃู†ุง ุฃุซุจุช ุฃู† ู‡ูŠ irrational ูŠุนู†ูŠ ู…ุงู‚ุฏุฑุด
1648
+
1649
+ 413
1650
+ 00:35:51,630 --> 00:35:58,550
1651
+ ุฃุญุทู‡ุง ุจุตูŠุบุฉ ูƒุณุฑ ุงุนุชูŠุงุฏูŠ ุฑู‚ู… ุงู†ุชุฌุฑ ุนู„ู‰ ุงู†ุชุฌุฑู‡ูˆ
1652
+
1653
+ 414
1654
+ 00:35:58,550 --> 00:36:00,970
1655
+ ุจูŠู‚ูˆู„ ุฅู† ุงู†ุช ุจุชู‚ุฏุฑุด ุชุญุทู‡ุง integer ุนู„ู‰ integerุŒ ุฃู†ุง
1656
+
1657
+ 415
1658
+ 00:36:00,970 --> 00:36:05,750
1659
+ ู‡ู‚ูˆู„ู‡ ู„ุฃุŒ ู‡ูŠ ู…ู…ูƒู† ูŠูˆุถุญู‡ุง ุจุดูƒู„ integerุŒ ูุฅุฐุง ู‡ู‚ูˆู„
1660
+
1661
+ 416
1662
+ 00:36:05,750 --> 00:36:10,470
1663
+ ุงู„ูุฑุถูŠุฉ ูƒุฃู†ู‡ุง negation PุŒ ู‡ุงูŠ ุฃูˆู„ ุฎุทูˆุฉ ู…ู† ุงู„
1664
+
1665
+ 417
1666
+ 00:36:10,470 --> 00:36:13,510
1667
+ algorithm ุชุจุน ุชูˆูŠู‚ุŒ ุฅู†ู‡ ุฅูŠุด ุจุฏู†ุง ู†ุนู…ู„ุŸ ุฅู† ุฃูุฑุถ
1668
+
1669
+ 418
1670
+ 00:36:13,510 --> 00:36:20,310
1671
+ negation PุŒ ูˆุงุถุญุฉ ุงู„ุขู†ุŸุจุฏู†ุง ู†ุชุฃูƒุฏ ู‡ู„ ู„ู…ุง ุฃูุฑุถ ุฅู†
1672
+
1673
+ 419
1674
+ 00:36:20,310 --> 00:36:24,670
1675
+ ู‡ูŠ rational ู‡ูŠูƒูˆู† ูƒู„ุงู…ู†ุง ู…ู†ุทู‚ูŠ ุนู„ู‰ ููƒุฑุฉ ุฅูŠุด ูŠุนู†ูŠ
1676
+
1677
+ 420
1678
+ 00:36:24,670 --> 00:36:28,050
1679
+ rational ุจุณ ุงุญู†ุง ุนุดุงู†ูƒ ุชู‚ูˆู…ูˆุง ุจุชุจุญุซูŠู„ูƒ ุฅูŠุด ูŠุนู†ูŠ
1680
+
1681
+ 421
1682
+ 00:36:28,050 --> 00:36:31,670
1683
+ rational ูุจุฏู†ุง ู†ุดูˆู ุงู„ูƒู„ุงู… ู‡ุฏุง ู‡ูŠุถู„ ู…ุงุดูŠ ู…ุนุงู†ุง ุตุญ
1684
+
1685
+ 422
1686
+ 00:36:31,670 --> 00:36:35,170
1687
+ ู„ู„ุขุฎุฑ ูˆู„ุง ู„ุฃ ุจุณ ู„ุง ุฃูƒุชุฑ ูˆู„ุง ุฃู‚ู„ ุชูุถู„ ูŠุนู†ูŠ ุงู†ุง ูŠุง
1688
+
1689
+ 423
1690
+ 00:36:35,170 --> 00:36:38,390
1691
+ ุฏูƒุชูˆุฑ ุจุณ ุญุงูุธ ุงู„ู†ุชูŠุฌุฉ ุงุญูุธ ุงู„shot ุจุฏูˆู† ู…ุงู„ู‡ุงุด
1692
+
1693
+ 424
1694
+ 00:36:38,390 --> 00:36:42,730
1695
+ ู†ุชูŠุฌุฉุŸ ุจุงู„ุธุจุท ุงู„ู†ุชูŠุฌุฉ ู‡ูŠ ุจุญุฏ ุฐุงุชู‡ุง ุงู„ูˆุตู ุงู„ู„ูŠ ุงุญู†ุง
1696
+
1697
+ 425
1698
+ 00:36:42,730 --> 00:36:48,520
1699
+ ูˆุตูู†ุงู‡ ูƒู„ู…ุฉ rational ุฃูˆ irrationalุฌุฐุฑ ุงุชู†ูŠู† ู‡ุฐุง
1700
+
1701
+ 426
1702
+ 00:36:48,520 --> 00:36:52,240
1703
+ ุงู„ุฑู‚ู… ุงุซุจุชู†ุง ุงู†ู‡ rational ุงูˆ irrational ุงู„
1704
+
1705
+ 427
1706
+ 00:36:52,240 --> 00:36:56,940
1707
+ rational ุงู„ู„ูŠ ู‡ูŠ ุงู„ู†ุชูŠุฌุฉ ุจุงู„ุธุจุท ูุงู„ุงู† ุงุญู†ุง ูุฑุถูŠุชู†ุง
1708
+
1709
+ 428
1710
+ 00:36:56,940 --> 00:37:03,540
1711
+ ุงูŠุด ู‡ุชุตูŠุฑ ู„ุงุญุธ ุงู† ุงู„ู†ุชูŠุฌุฉ rational ุงู„ุงู† ู‡ุจุฏุฃ ุงุญู„ู„
1712
+
1713
+ 429
1714
+ 00:37:03,540 --> 00:37:07,640
1715
+ ุงุฐุง ูˆุงู„ู„ู‡ ุงุซู†ุงุก ุงู„ุชุญู„ูŠู„ ุทู„ุนุช ู…ุนุงูŠุง ุงู† ุงู†ุง ูุฑุถ ุงู†
1716
+
1717
+ 430
1718
+ 00:37:07,640 --> 00:37:10,320
1719
+ ู‡ูŠ rational ู„ูƒู† ูุนู„ูŠุง ุงู„ุชุญู„ูŠู„ ุทู„ุนู†ุง ุงู„ู„ูŠ ู‡ูŠ
1720
+
1721
+ 431
1722
+ 00:37:10,320 --> 00:37:15,960
1723
+ irrational ุตุฑุช ููŠ ุนู†ุฏูŠ Q ูˆ negation QูƒูŠู Q ู†ูŠุฌุดู†
1724
+
1725
+ 432
1726
+ 00:37:15,960 --> 00:37:21,040
1727
+ ุงู„ู€ QุŸ ู…ุนู†ุงุชู‡ False ุฅู†ู‡ุง ู…ุด ู‡ูŠุทู„ุน ู…ุนุงู‡ False ูˆู‡ุฐุง
1728
+
1729
+ 433
1730
+ 00:37:21,040 --> 00:37:26,060
1731
+ ู…ุนู†ุงู‡ ุฅู† ุงู„ูุฑุถูŠุฉ ู…ู† ุฃุตู„ู‡ุง False ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฐู„ูƒ
1732
+
1733
+ 434
1734
+ 00:37:26,060 --> 00:37:31,760
1735
+ ุนูƒุณู‡ ุงู„ู„ูŠ ุตุญ ุนูƒุณู‡ุง ุงู„ู„ูŠ ุตุญ ูˆุงุถุญุฉุŸ ุชู…ุงู… ู‡ุงูŠ ุจุฏุฃู†ุง
1736
+
1737
+ 435
1738
+ 00:37:31,760 --> 00:37:36,140
1739
+ ุจุนูƒุณ ุงู„ูุฑุถูŠุฉ ู‡ูŠู‡ุง Negation P P ูƒุงู†ุช Irrational ู„ุฃ
1740
+
1741
+ 436
1742
+ 00:37:36,140 --> 00:37:37,380
1743
+ ุฃู†ุง ู‚ู„ุช Rational
1744
+
1745
+ 437
1746
+ 00:37:40,690 --> 00:37:52,030
1747
+ ู…ุนู†ู‰ ุฐู„ูƒ ุงู†ู‡ ุฌุฐุฑ ุงุชู†ูŠู† ุจู‚ุฏุฑ ุงุญุทู‡ ุจุตูˆุฑุฉ I over J
1748
+
1749
+ 438
1750
+ 00:37:52,030 --> 00:37:58,150
1751
+ I integer J integer ูŠุนู†ูŠ ุจุตูˆุฑุฉ two integers ููŠ ูƒุณุฑ
1752
+
1753
+ 439
1754
+ 00:37:58,150 --> 00:38:03,010
1755
+ ุงุนุชูŠุงุฏูŠ ุชู…ุงู… ุงู„ู„ูŠ ุงู†ุง ุจุฏู†ุง ู†ููƒ ู‡ุฐู‡ ู‡ู†ุงุฎุฏ ุชุฑุจูŠู‡ ุนู„ู‰
1756
+
1757
+ 440
1758
+ 00:38:03,010 --> 00:38:07,780
1759
+ ุงู„ุทุฑููŠู†ู…ุด ุจุฏู‡ ุงููƒ ุงู„ุชุฑุจูŠุน ุงู„ุฌุฐุฑูŠ ุงู„ุชุฑุจูŠุนูŠ ุตุงุฑุช
1760
+
1761
+ 441
1762
+ 00:38:07,780 --> 00:38:15,860
1763
+ ุงุชู†ูŠู† ุชุณุงูˆูŠ I ุชุฑุจูŠุน ุนู„ู‰ J ุชุฑุจูŠุน ุชู…ุงู… ุฌุฏุง ู‡ุฐุง
1764
+
1765
+ 442
1766
+ 00:38:15,860 --> 00:38:18,820
1767
+ ู‡ูŠู‚ูˆุฏู†ูŠ ู„ุงู‚ุงุด ุจุฏู†ุง ุนุดุงู† ู†ุนู…ู„ implication ู†ุนู…ู„ู‡ุง
1768
+
1769
+ 443
1770
+ 00:38:18,820 --> 00:38:32,080
1771
+ ู‡ูŠูƒ ูŠุฏ ุฅู„ู‰ ุงู† I ุชุฑุจูŠุน ุชุณุงูˆูŠ 2J ุชุฑุจูŠุน to some K ุงูŠุด
1772
+
1773
+ 444
1774
+ 00:38:32,080 --> 00:38:41,740
1775
+ ูŠุนู†ูŠุŸูŠุนู†ูŠ I ุชุฑุจูŠุน is even ุฅุฐุง I ุชุฑุจูŠุน is even ู…ุด
1776
+
1777
+ 445
1778
+ 00:38:41,740 --> 00:38:45,720
1779
+ ู‡ูŠู‡ุงุŸ ุงุญู†ุง ู…ู† ุงู„ุฃุณุงุณ ูุฑุถูŠุชู†ุง ุฅู†ู‡ two integers ุนู„ู‰
1780
+
1781
+ 446
1782
+ 00:38:45,720 --> 00:38:50,800
1783
+ ุจุนุถ ุนุดุงู† ุชูƒูˆู† rational ูู…ุนู†ู‰ ุฐู„ูƒ ุฅู†ู‡ ุงู„ J integer
1784
+
1785
+ 447
1786
+ 00:38:50,800 --> 00:38:55,720
1787
+ integer ุชุฑุจูŠุน integer integer some integer ุตุงุฑุช
1788
+
1789
+ 448
1790
+ 00:38:55,720 --> 00:39:02,310
1791
+ ูƒุฃู† ู‡ูŠ ุงู„ K ุชุญุช ุชุนุฑูŠู ุงู„ even ู…ุจุฏุฃูŠุง ู‡ูŠ I evenู„ู…ุง
1792
+
1793
+ 449
1794
+ 00:39:02,310 --> 00:39:09,210
1795
+ ุฃู‚ูˆู„ I even ูŠุนู†ูŠ ุจู‚ุฏุฑ ู…ู†ู‡ุง ุฃู‚ูˆู„ ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู† I is
1796
+
1797
+ 450
1798
+ 00:39:09,210 --> 00:39:13,590
1799
+ even ุฒูŠ ุงู„ุฅุซู…ุชูŠู† ุงู„ู„ูŠ ุงุฎุฏู†ุงู‡ู… ููŠ ุงู„ direct ูˆ ุงู„
1800
+
1801
+ 451
1802
+ 00:39:13,590 --> 00:39:17,370
1803
+ indirect ููŠ ุงู„ direct ูˆ ุงู„ indirect ูุฅุฐุง I ู‡ูŠ even
1804
+
1805
+ 452
1806
+ 00:39:17,370 --> 00:39:26,130
1807
+ I even ูˆ ู…ุฏุงู… I even ุจู‚ุฏุฑ ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุฃู‚ูˆู„
1808
+
1809
+ 453
1810
+ 00:39:26,130 --> 00:39:32,790
1811
+ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ูŠ ุงุชู†ูŠู† sum K ูƒู„ ุชุฑุจูŠุน ุชุณุงูˆูŠ ุงุชู†ูŠู†ุฌ
1812
+
1813
+ 454
1814
+ 00:39:32,790 --> 00:39:37,410
1815
+ ุชุฑุจูŠุน ุตุญุŸ
1816
+
1817
+ 455
1818
+ 00:39:37,410 --> 00:39:43,110
1819
+ ู…ุธุจูˆุท ููŠูƒุŸ ุทูŠุจ ูƒูˆูŠุณ ุฎู„ูŠู†ูŠ ุงููƒ ุงู„ู‚ูˆุงุต ู‡ุฐุง ุงุฑุจุนุฉ ูƒ
1820
+
1821
+ 456
1822
+ 00:39:43,110 --> 00:39:54,830
1823
+ ุชุฑุจูŠุน ุชุณุงูˆูŠ ุงุชู†ูŠู† ุฌ ุชุฑุจูŠุน ูŠุนู†ูŠ ุฌ ุชุฑุจูŠุน ุชุณุงูˆูŠ ุงุชู†ูŠู†
1824
+
1825
+ 457
1826
+ 00:39:54,830 --> 00:39:58,630
1827
+ ูƒ ุชุฑุจูŠุน ุงุชู†ูŠู† some k
1828
+
1829
+ 458
1830
+ 00:40:02,150 --> 00:40:12,950
1831
+ even ูุฅุฐู† J ุชุฑุจูŠุฉ is is even ูŠุนู†ูŠ
1832
+
1833
+ 459
1834
+ 00:40:12,950 --> 00:40:18,710
1835
+ J even ุจุฑุถู‡ ู‡ุชุฑุฌุนูˆุง ุงู„ู…ุซุงู„ูŠู† ุงู„ู„ูŠ ุงุญู†ุง ู„ุณู†ุง
1836
+
1837
+ 460
1838
+ 00:40:18,710 --> 00:40:21,090
1839
+ ู…ุงุฎุฏูŠู†ู‡ู… ููŠ ุงู„ุญุงู„ุฉ ุงู„ direct ูˆ ุงู„ indirect ูƒุงู†ูˆุง
1840
+
1841
+ 461
1842
+ 00:40:21,090 --> 00:40:26,610
1843
+ ุจูŠุซุจุชูˆุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุฅุฐุง I even ู…ุนู†ุงุชู‡ I ุชุฑุจูŠุฉ even
1844
+
1845
+ 462
1846
+ 00:40:26,610 --> 00:40:30,590
1847
+ ูˆ ุงู„ุนูƒุณ ุตุญูŠุญ ูˆ ุฅุฐุง ูƒุงู†ุช odd ู…ุนู†ุงุชู‡ ุชุฑุจูŠุญู‡ุง ุจุฑุถู‡
1848
+
1849
+ 463
1850
+ 00:40:30,590 --> 00:40:38,090
1851
+ oddุชู…ุงู… ู‡ูŠูƒ ุตุงุฑุช ู…ุนู†ุงุชู‡ ุฌุฐุฑ ุงุชู†ูŠู† ุงู„ู„ูŠ ูƒุงู†ุช ุจุชุณุงูˆูŠ
1852
+
1853
+ 464
1854
+ 00:40:38,090 --> 00:40:44,370
1855
+ I ุนู„ู‰ J ุฃุตุจุญุช ู‡ูŠ ุนุจุงุฑุฉ ุนู† even ุนู„ู‰ even ูŠุนู†ูŠ ููŠ
1856
+
1857
+ 465
1858
+ 00:40:44,370 --> 00:40:48,370
1859
+ ุนุงู…ู„ ู…ุดุชุฑูƒ ุตุญ
1860
+
1861
+ 466
1862
+ 00:40:48,370 --> 00:40:54,670
1863
+ ู…ุนู†ุงุชู‡ original ู‡ู†ุง
1864
+
1865
+ 467
1866
+ 00:40:54,670 --> 00:40:59,670
1867
+ ุฎุฑุจุทุช ุงู„ู†ุชุงุฆุฌ ุจุงู„ุธุจุท ู…ุนู†ุงุชู‡ ุงู„ูุฑุถูŠุฉ ุชุงุนุชู†ุงู…ุชู†ุงู‚ุถุฉ
1868
+
1869
+ 468
1870
+ 00:40:59,670 --> 00:41:03,790
1871
+ ู…ุน ุงู„ูˆุงู‚ุน ุงุญู†ุง ูุฑุถู†ุง ู…ู† ุงู„ุฃุณุงุณ ุงู† ู‡ูŠ rational ุจุณ
1872
+
1873
+ 469
1874
+ 00:41:03,790 --> 00:41:06,830
1875
+ ูุนู„ูŠุง ุงู„ู†ุชุงุฆุฌ ุจุชู‚ูˆู„ ุงู† ู‡ูŠ ู„ุฃ ู…ุธุจุทุชุด ู…ุน ููƒุฑุฉ ุงู„
1876
+
1877
+ 470
1878
+ 00:41:06,830 --> 00:41:10,310
1879
+ rational ู„ูŠุดุŸ ู„ุฃู†ู‡ ุทู„ุนุช even ุนู„ู‰ even ูŠุนู†ูŠ ูุนู„ูŠุง
1880
+
1881
+ 471
1882
+ 00:41:10,310 --> 00:41:16,310
1883
+ ูŠูˆุฌุฏ ุนุงู…ู„ ู…ุดุชุฑูƒ ู‡ูˆ ุงู„ุงุชู†ูŠู† ู‡ูˆ ุงู„ุงุชู†ูŠู†
1884
+
1885
+ 472
1886
+ 00:41:16,310 --> 00:41:20,810
1887
+ automatically ุฃุตุจุญ ูƒุฃู†ูŠ ุฃู†ุง ู‡ู†ุง ูุฑุถุช negation EQ
1888
+
1889
+ 473
1890
+ 00:41:20,810 --> 00:41:25,110
1891
+ ูุนู„ูŠุง ุทู„ุน Q ุนูƒุณู‡ุง
1892
+
1893
+ 474
1894
+ 00:41:27,440 --> 00:41:31,280
1895
+ ู automatic by contradiction ุณุชูƒุชุจ ู‡ู†ุง ููŠ ุขุฎุฑู‡ุง
1896
+
1897
+ 475
1898
+ 00:41:31,280 --> 00:41:36,440
1899
+ ุงุฐุง ุงู„ rational ูˆ ูุฑุถูŠุชู†ุง rational ูƒุงู†ุช ูุฅุฐุง by
1900
+
1901
+ 476
1902
+ 00:41:36,440 --> 00:41:40,220
1903
+ contradiction negation
1904
+
1905
+ 477
1906
+ 00:41:40,220 --> 00:41:44,640
1907
+ P is true A is false ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ุจุฏุฃู†ุง ููŠู‡ุง false
1908
+
1909
+ 478
1910
+ 00:41:44,640 --> 00:41:48,870
1911
+ ุบู„ุท ุทุจ ุฅูŠุด ุงู„ุตุญุŸ ุฃูƒูŠุฏ ุนูƒุณู‡ุงู‡ูŠ ูŠุง rational ูŠุง
1912
+
1913
+ 479
1914
+ 00:41:48,870 --> 00:41:52,190
1915
+ irrational ู…ุงููŠุด ุงุญุชู…ุงู„ ุชุงู„ุช ูุฅุฐุง ู…ุฏุงู… ู…ุง ุฒุจุทุชุด ุงู†
1916
+
1917
+ 480
1918
+ 00:41:52,190 --> 00:41:56,890
1919
+ ู‡ูŠ ุชูƒูˆู† rational ู by default ูˆ by .. ูˆ .. ูˆ ุฃูƒูŠุฏ
1920
+
1921
+ 481
1922
+ 00:41:56,890 --> 00:42:02,530
1923
+ ู‡ุชูƒูˆู† ุงูŠุด irrational irrational ุจู…ุนู†ู‰ ุฌุฐุฑ ุงุชู†ูŠู† ู„ุง
1924
+
1925
+ 482
1926
+ 00:42:02,530 --> 00:42:08,010
1927
+ ูŠู…ูƒู† ูˆุถุนู‡ ุจุตูˆุฑุฉ ุนุฏุฏูŠู† integers ู…ู‚ุณู…ูŠู† ุนู„ู‰ ุจุนุถ ููŠ
1928
+
1929
+ 483
1930
+ 00:42:08,010 --> 00:42:13,650
1931
+ ุตูˆุฑุฉ ูƒุณุฑ ุงุนุชูŠุงุฏูŠ ููŠ ุตูˆุฑุฉ ุงู„ูƒุณุฑ ุงู„ุงุนุชูŠุงุฏูŠ ุชู…ุงู…
1932
+
1933
+ 484
1934
+ 00:42:13,650 --> 00:42:21,480
1935
+ ู…ู…ุชุงุฒ ุฌุฏุง ู†ู†ู‡ูŠุจุงู„ .. ู‡ุฏูˆู„ ุฎู„ุตู†ุงู‡ู… ุฎู„ุงุต ุจู†ูƒูˆู† ุจู…ุซุงู„
1936
+
1937
+ 485
1938
+ 00:42:21,480 --> 00:42:26,840
1939
+ ุฃุฎุฑ ุณุฑูŠุน ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูˆ there is no largest prime
1940
+
1941
+ 486
1942
+ 00:42:26,840 --> 00:42:33,420
1943
+ number ู„ุงุญุธูˆุง ุจุณ ูƒู„ู…ุฉ ู„ุงูˆุฌุฏ ุฑู‚ู… prime ุฃูƒุจุฑ ุงุซุจุช
1944
+
1945
+ 487
1946
+ 00:42:33,420 --> 00:42:36,760
1947
+ ุงุซุจุช
1948
+
1949
+ 488
1950
+ 00:42:36,760 --> 00:42:40,940
1951
+ ูŠุงู„ุง ุทุจุนุง ู„ุง direct ู‡ุชุตุจุท ูˆ ุญุชู‰ indirect ุงู†ุช ู…ุด
1952
+
1953
+ 489
1954
+ 00:42:40,940 --> 00:42:48,460
1955
+ ุนุงุฑู ุงูŠุด ุงู„ู„ูŠ ุจุฏูƒ ุชุฑูˆุญู„ู‡ุฃูŠูˆุฉุŒ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุฏุซุŒ
1956
+
1957
+ 490
1958
+ 00:42:48,460 --> 00:42:53,760
1959
+ ู‡ุฐู‡ ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุญุฏุซุŒ ู„ูƒู† ุจุฏู†ุง .. ุงุญู†ุง ู…ุฌุฑุฏุด
1960
+
1961
+ 491
1962
+ 00:42:53,760 --> 00:42:58,820
1963
+ ู†ูุณูŠ ุจุชุนูƒุณู‡ุงุŒ ู…ุฌุฑุฏุด ู†ูุณูŠ ุจุชุนูƒุณู‡ุงุŒ ู„ูƒู† ุงู„ู‚ุงู†ูˆู† ุงู„ู„ูŠ
1964
+
1965
+ 492
1966
+ 00:42:58,820 --> 00:43:04,960
1967
+ ู‡ู†ูƒุชุจู‡ ุงู„ุขู† ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ูŠุนุชุจุฑ ุงู„ุญุฏุซู‡ูˆ ุงู„ุญุงุฏุซ
1968
+
1969
+ 493
1970
+ 00:43:04,960 --> 00:43:08,420
1971
+ ุจุงู„ู†ุณุจุงู„ู†ุง ุงู„ู„ูŠ ู‡ู†ุนุชู…ุฏ ุนู„ูŠู‡ ููŠ ุงู„ุดุบู„ ูุงู†ุง ู…ุนุชู…ุฏ
1972
+
1973
+ 494
1974
+ 00:43:08,420 --> 00:43:11,640
1975
+ ุฃู†ู‡ ููŠ ุญุงุฏุซ ู…ูˆุฌูˆุฏ ูุนู„ูŠุง ู‡ูˆ ุงู„ู„ูŠ ุญุฏู†ูŠ ุนู„ูŠู‡ ุดุบู„ูŠ ุฃู…ุง
1976
+
1977
+ 495
1978
+ 00:43:11,640 --> 00:43:15,460
1979
+ ู…ุด ุฃู† ู‡ูˆ ู†ูุณู‡ ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ูˆ ุงู„ุญุงุฏุซ ู‡ุชุดูˆู ูƒูŠู
1980
+
1981
+ 496
1982
+ 00:43:15,460 --> 00:43:22,960
1983
+ ู…ุจุฏุฃูŠุง
1984
+
1985
+ 497
1986
+ 00:43:22,960 --> 00:43:26,400
1987
+ ุงู„ุญู„ ุงู„ุฃู…ุซู„ ุฃูˆ ุงู„ุฃูˆุถุญ ุจุงู„ู†ุณุจุงู„ู†ุง ุฃู†ู‡ ู†ุนู…ู„
1988
+
1989
+ 498
1990
+ 00:43:26,400 --> 00:43:33,070
1991
+ contradiction ุทูŠุจthere is no largest prime number
1992
+
1993
+ 499
1994
+ 00:43:33,070 --> 00:43:39,370
1995
+ ุงูŠุด ุนูƒุณู‡ุง ุงู†ู‡ there is largest prime number ุชู…ุงู…ุŸ
1996
+
1997
+ 500
1998
+ 00:43:39,370 --> 00:43:49,170
1999
+ ู…ุนู†ุงุชู‡ ุงู†ู‡ ูŠูˆุฌุฏ ุนุฏุฏ ุงูƒุจุฑ prime ุงูƒุจุฑ ูˆูŠุณุงูˆูŠ P ู‡ู‚ูˆู„
2000
+
2001
+ 501
2002
+ 00:43:49,170 --> 00:43:53,110
2003
+ ุงู†ู‡ ูŠูˆุฌุฏ ุทุจ ู…ุฏุงู… ูŠูˆุฌุฏ ุจุฏู†ุง ู†ุณู…ูŠู‡ ุงู†ุง ู…ุด ุนุงุฑู ูƒุฏู‡
2004
+
2005
+ 502
2006
+ 00:43:53,110 --> 00:43:57,180
2007
+ ูƒุฑู‚ู… ู„ูƒู† ุจุฏู†ุง ู†ู‚ูˆู„ ุงู† ู‡ูˆ PP ู‡ุงุฏ ูŠุชุทู„ุน ูƒุฏู‡ ู…ุง ุชุทู„ุน
2008
+
2009
+ 503
2010
+ 00:43:57,180 --> 00:44:02,160
2011
+ ุจุณ ุงู„ู…ูุฑูˆุถ ุงู† ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ูŠุนู†ูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุทูŠุจ ู…ุฏุงู†
2012
+
2013
+ 504
2014
+ 00:44:02,160 --> 00:44:06,240
2015
+ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู†ุง ู‚ู„ุช ุงู† ูุนู„ุง ูŠูˆุฌุฏ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู† R ุงู„ู„ูŠ
2016
+
2017
+ 505
2018
+ 00:44:06,240 --> 00:44:12,500
2019
+ ู‡ูŠ ู…ุฌู…ูˆุนุฉ ุงู„ุฃุฑู‚ุงู… ุงู„ Primes ู‡ูŠ ุจุชุจุฏุฃ ุจ2 3 5 7 and
2020
+
2021
+ 506
2022
+ 00:44:12,500 --> 00:44:17,760
2023
+ so on ู„ู…ุง ู†ุตู„ ุงู„ P ู„ู…ุง ู†ุตู„ ุงู„ P ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูƒุจุฑ
2024
+
2025
+ 507
2026
+ 00:44:17,760 --> 00:44:24,300
2027
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูƒุจุฑ ู…ุด ู‡ูŠูƒ ุจุนุฏ ู‡ูŠูƒ ู…ููŠุดู„ุฃู†ู‡ ุงู„ุฃูƒุจุฑ ุญุณุจ
2028
+
2029
+ 508
2030
+ 00:44:24,300 --> 00:44:30,920
2031
+ ูุฑุถูŠุชู†ุง ุญุณุจ ูุฑุถูŠุชู†ุง ุฃูƒุจุฑ ุทูŠุจ ุงู„ุญุฏุซ ุงู„ุขู† ุฃู†ู‡ ุญุฏุซุง
2032
+
2033
+ 509
2034
+ 00:44:30,920 --> 00:44:35,860
2035
+ ูƒู„ ู…ุง ุจุฏุฑุจ ู…ุฌู…ูˆุน ุงู„ุฃุฑู‚ุงู… ู„primes ูˆู…ุฌู…ุน ูˆุงุญุฏ
2036
+
2037
+ 510
2038
+ 00:44:35,860 --> 00:44:40,320
2039
+ ุจูŠุนุทูŠู†ูŠ prime ุฌุฏูŠุฏ ุตุญ
2040
+
2041
+ 511
2042
+ 00:44:40,320 --> 00:44:48,320
2043
+ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ ู‡ู‚ูˆู„ ุงุชู†ูŠู† ู…ุถุฑูˆุจุฉ ููŠ ุชู„ุงุชุฉ ุฒุงุฆุฏ ูˆุงุญุฏ
2044
+
2045
+ 512
2046
+ 00:44:49,110 --> 00:44:54,370
2047
+ ุณุจุนุฉ ุทุจู…ุง ุณุจุนุฉ prime ุทูŠุจ ู‡ู†ุงุฎุฏ ุชู„ุงุช ุฃุฑู‚ุงู… ู…ู† ุงู„ุฃูˆู„
2048
+
2049
+ 513
2050
+ 00:44:54,370 --> 00:44:58,170
2051
+ ุตุงุฑุช ุชู„ุงุชูŠู† ุฒุงุฆุฏ ูˆุงุญุฏ ูˆุงุญุฏ ูˆ ุชู„ุงุชูŠู† ุงู„ูˆุงุญุฏ ูˆ
2052
+
2053
+ 514
2054
+ 00:44:58,170 --> 00:45:01,990
2055
+ ุชู„ุงุชูŠู† ู‡ู„ุงุฌูŠู‡ุง ููŠ ุงู„ primes ุงู„ู„ูŠ ู‡ู†ุง ุนุฏุฏ ุฃูˆู„ูŠ ุทูŠุจ
2056
+
2057
+ 515
2058
+ 00:45:01,990 --> 00:45:08,710
2059
+ ุชู„ุงุชูŠู† ููŠ ุณุจุนุฉ ู…ุชูŠู† ูˆ ุนุดุฑุฉ ุงู„ู…ุชูŠู† ูˆ ุงุญุฏุงุดุฑ prime
2060
+
2061
+ 516
2062
+ 00:45:08,710 --> 00:45:15,650
2063
+ ุทูŠุจ ู…ุนู†ู‰ ุฐู„ูƒ ุงู†ู‡ ุญุณุจ ุงู„ู…ูู‡ูˆู… R ุงุชู†ูŠู† ููŠ ุชู„ุงุชุฉ ููŠ
2064
+
2065
+ 517
2066
+ 00:45:15,650 --> 00:45:23,590
2067
+ ุฎู…ุณุฉ ููŠ ุณุจุนุฉููŠ ุญุฏุงุดุฑ ููŠ
2068
+
2069
+ 518
2070
+ 00:45:23,590 --> 00:45:35,490
2071
+ ููŠ ููŠ ููŠ ู„ุนู†ูƒ ุจูŠ ุฒุงุฆุฏ ูˆุงุญุฏ ู‡ูŠุทู„ุน ุงู„ prime ู…ุด ู‡ูŠูƒ
2072
+
2073
+ 519
2074
+ 00:45:35,490 --> 00:45:38,890
2075
+ ู‡ูˆ
2076
+
2077
+ 520
2078
+ 00:45:38,890 --> 00:45:42,430
2079
+ ู…ุด ุจุฒุงุฆุฏ ูˆุงุญุฏ ู‡ูˆ ุชุฎูŠู„ ุฌุฏูŠุด ู…ุถู„ูˆู ููŠ ุฃูƒู… ุฑู‚ู… ุฌุงุจู„ู‡
2080
+
2081
+ 521
2082
+ 00:45:43,690 --> 00:45:48,370
2083
+ ูŠุนู†ูŠ ุฑู‚ู… ู…ุชูˆุงุฎุฏ ุฌุฏ ุงูƒุจุฑ ุจูƒุชูŠุฑ ู…ู† ุงู„ B ุงู„ู„ูŠ ุงู†ุง ูุฑุถ
2084
+
2085
+ 522
2086
+ 00:45:48,370 --> 00:45:52,990
2087
+ ุงุตู„ุง ุงู† ู‡ูˆ largest prime number ุงู„ู„ูŠ ุงุญู†ุง ูุฑุถู†ุง ุงู†
2088
+
2089
+ 523
2090
+ 00:45:52,990 --> 00:45:56,330
2091
+ ู‡ูˆ ุฏู‡ ุงูƒุจุฑ ุฑู‚ู… ุงูˆู„ู‰ ุงุชูุงุฌุฃู†ุง ุงู† ู„ุง ููŠ ุฑู‚ู… ุงูƒุจุฑ ู…ู†ู‡
2092
+
2093
+ 524
2094
+ 00:45:56,330 --> 00:46:01,470
2095
+ ุญุณุจ ุงูŠุดุŸ ุญุณุจ ุงู„ุญุฏุซ ุงู„ู„ูŠ ุงู†ุช ู…ุด ู‚ุงุฏุฑ ุชุซุจุช ู„ุนูƒุณู‡
2096
+
2097
+ 525
2098
+ 00:46:01,470 --> 00:46:05,710
2099
+ ุงู„ู„ูŠ ุงู†ุง ู‚ู„ุชู„ูƒ ุญุฏุซ ุงุซุจุช ุงู†ู‡ ู…ุด ุตุญ ุนุดุงู† ุงู‚ูˆู„ูƒ ุงู†
2100
+
2101
+ 526
2102
+ 00:46:05,710 --> 00:46:10,460
2103
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุบู„ุทู„ุญุธุฉ ูˆูŠู† ุงู„ุญุฏุซ ูƒุงู†ุŸ ุงู„ุญุฏุซ ูƒุงู† ููŠ
2104
+
2105
+ 527
2106
+ 00:46:10,460 --> 00:46:13,460
2107
+ ุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ ููŠ relation ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงุชู†ูŠู† ููŠ ุชู„ุงุชุฉ
2108
+
2109
+ 528
2110
+ 00:46:13,460 --> 00:46:17,320
2111
+ ููŠ ุฎู…ุณุฉ ููŠ ุณุจุนุฉ ููŠ ุงุญุฏุงุด ููŠ ููŠ ููŠ two P ุฒุงุฆุฏ ูˆุงุญุฏ
2112
+
2113
+ 529
2114
+ 00:46:17,320 --> 00:46:21,960
2115
+ ู‡ูˆ prime ุฌุฏูŠุฏ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฒูŠ ู…ุง ุฃู†ุง ุงุณู…ู‡ ุงุชูˆ ูˆุงุญุฏ
2116
+
2117
+ 530
2118
+ 00:46:21,960 --> 00:46:25,540
2119
+ ู…ู†ูƒู… ุจูŠู‚ูˆู„ูˆุง ุทุจ ุงุญู†ุง ู‡ู†ุถู„ ู†ู…ุดูŠ till infinityู„ุฃ ุฅู„ู‰
2120
+
2121
+ 531
2122
+ 00:46:25,540 --> 00:46:28,360
2123
+ ู…ุง ู„ุง ู†ู‡ุงูŠุฉ ุตุญ ู…ุด ู‡ู†ุถู„ ู…ุด ุฅู„ู‰ ู…ุง ู„ุง ู†ู‡ุงูŠุฉ ุจุณ ุญุชู‰
2124
+
2125
+ 532
2126
+ 00:46:28,360 --> 00:46:32,480
2127
+ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ุจู†ุนุฑูู‡ู… ุจุชุทู„ุน ุตุญ ุงู„ relation ู‡ุฐู‡
2128
+
2129
+ 533
2130
+ 00:46:32,480 --> 00:46:38,760
2131
+ relation ุงู† ุฑ ุฃุถุฑุจ sequential primes plus ูˆุงุญุฏ
2132
+
2133
+ 534
2134
+ 00:46:38,760 --> 00:46:42,920
2135
+ ุจุชุทู„ุน prime plus ูˆุงุญุฏ ุจุชุทู„ุน prime ูƒู„ ู…ุง ุจุชุฌู…ุน ุจุณ
2136
+
2137
+ 535
2138
+ 00:46:43,700 --> 00:46:47,260
2139
+ ูˆุงุญุฏ ุนู„ู‰ ุนู…ู„ูŠุฉ ุงู„ multiplication ู„ู„ sequential
2140
+
2141
+ 536
2142
+ 00:46:47,260 --> 00:46:53,020
2143
+ primes ู…ู† ุงู„ุฃูˆู„ ู…ู† ุงู„ุฃ๏ฟฝ๏ฟฝุบุฑ ู„ู„ุฃูƒุจุฑ ุญูŠุทู„ุน ุฏุงุฆู…ุง ูˆุงุญุฏ
2144
+
2145
+ 537
2146
+ 00:46:53,020 --> 00:46:56,160
2147
+ ุฅุฐุง ุฌู…ุนู†ุง .. ุญูŠุทู„ุน ุฏุงุฆู…ุง ุงู„ prime ุฅุฐุง ุฌู…ุนู†ุง ุนู„ูŠู‡
2148
+
2149
+ 538
2150
+ 00:46:56,160 --> 00:47:03,680
2151
+ ูˆุงุญุฏ ุชู…ุงู… ูู„ุงุญุธ ุฃู†ุช ูุฑุถุช ูุฑุถูŠุฉ ูˆุญุณุจ ุงู„ุญุฏุซ ุงู†ุชูุช
2152
+
2153
+ 539
2154
+ 00:47:03,680 --> 00:47:10,630
2155
+ ูุตุฑุช ุฃู†ุช ุชุชูƒู„ู… ู‡ู†ุง ุนู† negation QNegation of Q ู„ุฃู†
2156
+
2157
+ 540
2158
+ 00:47:10,630 --> 00:47:16,190
2159
+ ุงู†ุช ูุฑุถูŠ ุชุจุนุช ุงู†ู‡ ู„ุฃ ู‡ูˆ ููŠู‡ largest number ูู†ู‚ุดู†
2160
+
2161
+ 541
2162
+ 00:47:16,190 --> 00:47:19,090
2163
+ ุงู„ Q ุทู„ุนุช ุงู†ู‡ ู„ุฃ ุงู„ Q
2164
+
2165
+ 542
2166
+ 00:47:23,770 --> 00:47:29,430
2167
+ ูˆP ู„ูŠุณุช largest prime number ุจุฏู„ูŠู„ ุฃู†ู‡ ู„ูˆ ุถุฑุจู†ุง P
2168
+
2169
+ 543
2170
+ 00:47:29,430 --> 00:47:34,430
2171
+ ุจูƒู„ ุงู„primes ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†ู‡ ูˆุฌู…ุนู†ุง ูˆุงุญุฏ ู‡ูŠุทู„ุน prime
2172
+
2173
+ 544
2174
+ 00:47:34,430 --> 00:47:41,170
2175
+ ุฌุฏูŠุฏ ูˆุญุชู…ุง ู‡ูŠูƒูˆู† ุฃูƒุจุฑ ู…ู† P ูุฅุฐุง
2176
+
2177
+ 545
2178
+ 00:47:41,170 --> 00:47:46,030
2179
+ ุงู„ูุฑุถูŠุฉ ุจุงู„ุฃุณุงุณ ุบู„ุท ุทูŠุจ ุงู„ูุฑุถูŠุฉ ุงุญู†ุง ูƒุงู†ุช ุฅูŠุด ุฃู†ู‡
2180
+
2181
+ 546
2182
+ 00:47:46,030 --> 00:47:52,160
2183
+ ูŠูˆุฌุฏ prime ุฃูƒุจุฑู…ุฏุงู… ู‡ูŠ ุบู„ุท ุนูƒุณู‡ุงุŒ ุตุญุŒ ุฅูŠุด ุนูƒุณู‡ุงุŸ
2184
+
2185
+ 547
2186
+ 00:47:52,160 --> 00:47:56,880
2187
+ there is no largest prime numberุŒ ูˆุงุถุญูŠุชุŸ ู„ุงุญุธ ุฃู†ู‡
2188
+
2189
+ 548
2190
+ 00:47:56,880 --> 00:48:00,500
2191
+ ูƒูŠู ุฌุงูŠุงูƒ ุงู„ุฌู…ู„ุฉ ู‡ุชู‚ูˆู„ direct ู…ุด ู‡ุชุธุจุทุŒ indirect
2192
+
2193
+ 549
2194
+ 00:48:00,500 --> 00:48:05,200
2195
+ ู…ุด ู‡ุชุธุจุทุŒ ูˆู„ุง ู‡ูŠ ุฒุงุจุทุฉ ู…ุนุงูƒ ู„ุง vacuous ูˆู„ุง
2196
+
2197
+ 550
2198
+ 00:48:05,200 --> 00:48:09,890
2199
+ trivialุŒ ูู…ุด ู‡ุชุธุจุท ู…ุนุงูƒ ุฅู„ุง contradictionูุนุดุงู† ู‡ูŠูƒ
2200
+
2201
+ 551
2202
+ 00:48:09,890 --> 00:48:14,210
2203
+ ุงู„ contradiction ู‡ูŠ ุฃูƒุชุฑ ุญุงุฌุฉ ู…ุณุชุฎุฏู…ุฉ ููŠ ุงู„ proofs
2204
+
2205
+ 552
2206
+ 00:48:14,210 --> 00:48:18,410
2207
+ ุฎู„ุตู†ุง ุงู„ direct ูˆ ุงู„ indirect ูˆ ุงู„ vacuous ูˆ ุงู„
2208
+
2209
+ 553
2210
+ 00:48:18,410 --> 00:48:22,750
2211
+ trivial ูˆ ุฎุชู…ู†ุง ุจุงู„ contradiction ูˆ ู‡ูŠ ุงู„ุฃู‡ู… ูƒู…ุงู†
2212
+
2213
+ 554
2214
+ 00:48:22,750 --> 00:48:25,090
2215
+ ู…ุฑุฉ ูˆ ู‡ูŠ ุงู„ุฃู‡ู… ุนุดุงู† ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡
2216
+
2217
+ 555
2218
+ 00:48:25,090 --> 00:48:28,830
2219
+ ุชุนุงู„ู‰ ู†ุฌูŠุจ ู…ุฌู…ูˆุนุฉ ุฃุณุฆู„ุฉ ูˆ ู†ุญู„ู‡ู… ุนู„ู‰ ุงู„ุฃุฑุจุนุฉ ุงู„ู„ูŠ
2220
+
2221
+ 556
2222
+ 00:48:28,830 --> 00:48:32,990
2223
+ ุฌุงูŠ ุจุฅุฐู† ุงู„ู„ู‡ ุชุนุงู„ู‰ ุฎู„ุตู†ุง ู…ุง ูŠุฎุต ุงู„ุฃุณุจูˆุน ู‡ุฐุง ู…ุด
2224
+
2225
+ 557
2226
+ 00:48:32,990 --> 00:48:37,610
2227
+ ู‡ู†ุจุฏุฃ ูˆ ู†ุณุชุนุฌู„ู…ู„ุชุฒู…ูŠู† ุฒูŠ ู…ุง ู‚ู„ู†ุง ูŠูˆู… ุงู„ุฃุฑุจุนุฉ ุฏุงูŠู…ุง
2228
+
2229
+ 558
2230
+ 00:48:37,610 --> 00:48:39,970
2231
+ ุจูŠูƒูˆู† ู„ู‡ุง ุญู„ูˆู„ ูŠู„ุง ุงุนุทูŠูƒูˆุง ุงู„ุนููˆ ูŠุง ุดุจุงุจ ุจุฑูƒ ุงู„ู„ู‡
2232
+
2233
+ 559
2234
+ 00:48:39,970 --> 00:48:40,290
2235
+ ููŠูƒู…
2236
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/URd9zqvHits_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/VLnEJOyCdIE_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/VOPKfsvewqI_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/VOPKfsvewqI_raw.srt ADDED
@@ -0,0 +1,2644 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:07,610
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ ูŠุง ุดุจุงุจ ุงู„ูŠูˆู…
4
+
5
+ 2
6
+ 00:00:07,610 --> 00:00:11,350
7
+ ู†ูƒู…ู„ ุฌุฒุฆูŠุฉ ุงู„ applications ุงู„ู„ูŠ ุจุฏุฃู†ุง ู†ุงุฎุฏู‡ุง ุนู„ู‰
8
+
9
+ 3
10
+ 00:00:11,350 --> 00:00:15,430
11
+ ุงู„ number theory ูˆ ู…ู† ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ู…ู…ูƒู† ุงุชูƒู„ู…ู†ุง
12
+
13
+ 4
14
+ 00:00:15,430 --> 00:00:17,490
15
+ ุงู†ู‡ ููŠ ุญุงุฌุฉ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู…ู‡ู…ุฉ ุฌุฏุง ุงู„ู„ูŠ ู‡ูŠ solo
16
+
17
+ 5
18
+ 00:00:17,490 --> 00:00:21,710
19
+ random solo random ุจู…ุนู†ู‰ ุงู†ู‡ deterministically ุงูˆ
20
+
21
+ 6
22
+ 00:00:21,710 --> 00:00:25,970
23
+ ุจุดูƒู„ ู…ุญุณูˆุจ ู…ุนุฑูˆู ุงูŠุด ุงู„ู…ุนุงุฏู„ุงุช ุชุจุนุชู‡ ุจู‚ุฏุฑ ุงุนู…ู„ู‡
24
+
25
+ 7
26
+ 00:00:25,970 --> 00:00:30,130
27
+ generation ู„ random numbers ุฑุบู… ุงู† ู‡ูˆ that appear
28
+
29
+ 8
30
+ 00:00:30,130 --> 00:00:34,920
31
+ randomูŠุนู†ูŠ ู‡ูˆ ูŠุธู‡ุฑ ูƒุฃู†ู‡ ุนุดูˆุงุฆูŠุŒ ูŠุธู‡ุฑ ูƒุฃู†ู‡ ุนุดูˆุงุฆูŠุŒ
32
+
33
+ 9
34
+ 00:00:34,920 --> 00:00:39,650
35
+ ูุฅุฐุง ุฃู†ุช ู…ุด ุนุงุฑู ุงู„ ..ุฒูŠ ู…ุง ุจู‚ูˆู„ ุงู„ุฎุทุฉ ุทุจุนุชู‡ ุฃูˆ
36
+
37
+ 10
38
+ 00:00:39,650 --> 00:00:43,330
39
+ ุงู„ุฌุฒุก ุงู„ deterministic ุทุจุนู‡ okay ุงู†ุช ุชุธู† ุงู† ู‡ูˆ
40
+
41
+ 11
42
+ 00:00:43,330 --> 00:00:47,050
43
+ ุนุดูˆุงุฆูŠ ุจุณ ู‡ูˆ ูุนู„ูŠุง ู„ุฃ ู‡ูˆ ู…ุด ุนุดูˆุงุฆูŠ ู‡ูˆ ู„ูŠุณ ุนุดูˆุงุฆูŠ
44
+
45
+ 12
46
+ 00:00:47,050 --> 00:00:49,650
47
+ ุชู…ุงู… ู‡ุฐู‡ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงูŠุด
48
+
49
+ 13
50
+ 00:00:49,650 --> 00:00:52,270
51
+ ุงุณุชุฎุฏุงู…ุงุชู‡ุง ุงู„ุงุณุชุฎุฏุงู…ุงุช ูƒุชูŠุฑุฉ ู…ู†ู‡ุง ุงู„ games ู…ู†ู‡ุง
52
+
53
+ 14
54
+ 00:00:52,270 --> 00:00:54,490
55
+ ุงู„ graphics ู…ู†ู‡ุง ุงู„ simulations ุงู„ู„ูŠ ุจุชู†ุนู…ู„ ูƒ
56
+
57
+ 15
58
+ 00:00:54,490 --> 00:00:57,930
59
+ simulations ุงู„ graphics ู„ู…ุง ุจูŠูƒูˆู† ูŠุนุทูŠ ุงูˆ ุงู„ games
60
+
61
+ 16
62
+ 00:00:57,930 --> 00:01:01,350
63
+ ู„ู…ุง ุจูŠูƒูˆู† ูŠุนุทูŠูƒ ู…ุฌู…ูˆุนุฉ options ู„ู„ุญู„ูˆู„ ุฃุญูŠุงู†ุง ุจูŠูƒูˆู†
64
+
65
+ 17
66
+ 00:01:01,350 --> 00:01:06,380
67
+ ููŠู‡ุง random .. randomization ุจู„ุง ุงู„ู…ูˆุถูˆุน ู‡ุฐุงูƒูˆูŠุณ
68
+
69
+ 18
70
+ 00:01:06,380 --> 00:01:10,800
71
+ ูุจุชุณุชุฎุฏู… ููŠ ุญุงู„ุฉ ุฒูŠ ุงู„ุญุงู„ุงุช ู‡ุฐู‡ ููŠ ุงู„ hash
72
+
73
+ 19
74
+ 00:01:10,800 --> 00:01:14,280
75
+ functions ุงู„ู„ูŠ ุจูŠุนู…ู„ ุนู…ู„ูŠุฉ mask ู„ู„ data ุฎุตูˆุตุง ุงู„
76
+
77
+ 20
78
+ 00:01:14,280 --> 00:01:17,740
79
+ data ุงู„ูƒุจูŠุฑุฉ ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡ุง ุนู…ู„ูŠุฉ security ูƒ secure
80
+
81
+ 21
82
+ 00:01:17,740 --> 00:01:22,520
83
+ code ุจุฑุถู‡ ุจูŠุณุชุฎุฏู… ููŠู‡ุง ุงู„ random ุงู„ cryptographic
84
+
85
+ 22
86
+ 00:01:22,520 --> 00:01:26,630
87
+ algorithm ูˆู‡ุฐุง ุงู„ู„ูŠ ุญู‚ู‚ู‡ู†ุตู„ูˆุง ููŠ ุขุฎุฑ ุงู„ู…ุญุงุถุฑุฉ ููŠ
88
+
89
+ 23
90
+ 00:01:26,630 --> 00:01:29,910
91
+ ุขุฎุฑ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุฉ ุงู„ุชุดููŠุฑ ุชุดููŠุฑ ุงู„ุจูŠุงู†ุงุช
92
+
93
+ 24
94
+ 00:01:29,910 --> 00:01:34,850
95
+ ุจุฑุถู‡ ู…ุญุชุงุฌุฉ ู†ุดุชุบู„ ุนู„ู‰ random sequence ุฃูˆ ุชุจุฏูˆ
96
+
97
+ 25
98
+ 00:01:34,850 --> 00:01:37,490
99
+ ูƒุฃู†ู‡ุง random sequenceููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ู…ู…ูƒู† ู†ุญูƒูŠ
100
+
101
+ 26
102
+ 00:01:37,490 --> 00:01:41,190
103
+ ุนู†ู‡ุง ุทูŠุจ ุฅูŠุด ุงู„ techniques ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุณุชุฎุฏู…ู‡ุง to
104
+
105
+ 27
106
+ 00:01:41,190 --> 00:01:45,450
107
+ generate ุงู„ random numbers ู‡ุฐู‡ุŸ ู‡ูŠ ุงู„ linear
108
+
109
+ 28
110
+ 00:01:45,450 --> 00:01:48,930
111
+ congruential method ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ
112
+
113
+ 29
114
+ 00:01:48,930 --> 00:01:52,870
115
+ ูˆู‚ูˆู„ู†ุง ุฅู† ู‡ูŠ linear ู…ุนู†ุงุชู‡ ุงู„ู…ุนุงุฏู„ุฉ ุฃุตู„ุง ู‡ูŠ linear
116
+
117
+ 30
118
+ 00:01:52,870 --> 00:01:56,890
119
+ ูˆ congruential ุจู…ุนู†ู‰ ุฅู†ู‡ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ู‡ุฐู‡ ุชุณูˆูŠ
120
+
121
+ 31
122
+ 00:01:56,890 --> 00:02:02,530
123
+ exactly ู‡ุฐู‡ ูˆุงู†ู…ุง ุชูƒุงูุฆู‡ุง ุญุณุจ ุงู„ modulus Mูˆุงุฎุฏู†ุง
124
+
125
+ 32
126
+ 00:02:02,530 --> 00:02:07,290
127
+ ุงู† ููŠ ูุฑู‚ ุจูŠู† equal ูˆcongruent ู…ุด ู‡ูŠูƒ ู‡ุฐู‡ ุชูƒุงูุฆ
128
+
129
+ 33
130
+ 00:02:07,290 --> 00:02:10,590
131
+ ู‡ุฐู‡ ุชุณุงูˆูŠ ูู‡ู… ู…ุฎุชู„ููŠู† ุชู…ุงู…ุง ุนู† ุจุนุถ ููŠ ุงู„ุญุงู„ุฉ
132
+
133
+ 34
134
+ 00:02:10,590 --> 00:02:13,670
135
+ ุจุชุงุนุชู†ุง ูู‡ูŠ ุงู„ู…ุนุงุฏู„ุฉ linear ุงู‡ linear ู„ุงู† ู‡ูŠ
136
+
137
+ 35
138
+ 00:02:13,670 --> 00:02:17,610
139
+ ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ congruential okay ู…ุด congruential ู„ุงู†
140
+
141
+ 36
142
+ 00:02:17,610 --> 00:02:22,270
143
+ ู‡ุฐู‡ ู„ุงุชุณุงูˆูŠ exactly ู‡ุฐู‡ ูˆุงู†ู…ุง ุชูƒุงูุฆู‡ุง ุญุณุจุงู„ู€
144
+
145
+ 37
146
+ 00:02:22,270 --> 00:02:28,070
147
+ modulus ุงู„ู„ูŠ ุงุญู†ุง ุดุบุงู„ูŠู† ุนู„ูŠู‡ ุชู…ุงู… ูˆุงุฎุฏู†ุง ู…ุซุงู„
148
+
149
+ 38
150
+ 00:02:28,070 --> 00:02:31,870
151
+ ุชู…ุงู… ู‡ูŠุนุทูŠู†ุง ู…ุฌู…ูˆุนุฉ ุงู„ parameters ุงู„ู„ูŠ ู…ุญุชุงุฌูŠู†ู‡ุง
152
+
153
+ 39
154
+ 00:02:31,870 --> 00:02:35,230
155
+ to generate a sequence .. a certain sequence ูˆูุนู„ุง
156
+
157
+ 40
158
+ 00:02:35,230 --> 00:02:37,710
159
+ ุดูู†ุง ุงู„ certain sequence ุงู„ู„ูŠ ุงุดุชุบู„ู†ุงู‡ ู‡ูŠ ุดูู†ุงู‡
160
+
161
+ 41
162
+ 00:02:37,710 --> 00:02:41,510
163
+ ู‡ู†ุง ูˆุงุฎุฏู†ุง ุดูˆูŠุฉ ู…ู„ุงุญุธุงุช ุทู„ุนู†ุง ุจุดูˆูŠุฉ ู…ู„ุงุญุธุงุช ุงู†ู‡
164
+
165
+ 42
166
+ 00:02:41,510 --> 00:02:46,110
167
+ ุงู†ุง ุจู‚ุฏุฑ ุงุนุฑู ุฌุฏุงุด ู‚ูŠู…ุฉ ุงู„ modulus ุงุฐุง ูƒุงู† ุนุฑูุช
168
+
169
+ 43
170
+ 00:02:46,110 --> 00:02:50,030
171
+ ุงู†ุช ุจุช ..ุจุชูƒุฑุฑ ุงู„ sequence ุฅุฐุง ูƒุงู† ุงุชูƒุฑุฑ ุงู„
172
+
173
+ 44
174
+ 00:02:50,030 --> 00:02:53,490
175
+ sequence ูุจู†ู‚ุฏุฑ ู†ุนุฑู ุฌุฏุด ูˆุงุฎุฏู†ุง ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ูƒุงู†
176
+
177
+ 45
178
+ 00:02:53,490 --> 00:02:57,270
179
+ ุนู†ุฏู‡ seed ุจุฏุฃู†ุงู‡ุง ุจุชู„ุงุชุฉ ูุฑุฌุนุช ุงุชูƒุฑุฑุช ุงู„ุชู„ุงุชุฉ ุจุนุฏ
180
+
181
+ 46
182
+ 00:02:57,270 --> 00:03:00,410
183
+ ุชุณุนุฉ elements ูุจุนุฑู ุฃู†ู‡ ุนู„ู‰ ุทูˆู„ ุงู„ modulus ุงู„ู„ูŠ
184
+
185
+ 47
186
+ 00:03:00,410 --> 00:03:02,610
187
+ ุฃู†ุง ู…ุณุชุฎุฏู… ู‡ูˆ ุชุณุนุฉ ู‡ูˆ ูุนู„ุง ุงู„ modulus ุงู„ู„ูŠ
188
+
189
+ 48
190
+ 00:03:02,610 --> 00:03:07,740
191
+ ุงุณุชุฎุฏู…ู†ุงู‡ูƒุงู† ุชุณุนุฉ exactly ูุนู„ุง ุชุณุนุฉ ุทูŠุจ ู‡ุฐุง ุงู„ูƒู„ุงู…
192
+
193
+ 49
194
+ 00:03:07,740 --> 00:03:11,480
195
+ ุนุดุงู† ูŠุญุงูˆู„ูˆุง ูŠุญุณู†ูˆุง ููŠ ุนู…ู„ูŠุฉ ุงู„ generation ูˆุฌุฏูˆุง
196
+
197
+ 50
198
+ 00:03:11,480 --> 00:03:17,520
199
+ ุงู†ู‡ ุงู„ pure multiplicative generator ุจ modulus ุจุฏู„
200
+
201
+ 51
202
+ 00:03:17,520 --> 00:03:21,880
203
+ ุชุณุนุฉ ู„ุฃ ุงุชู†ูŠู† ุชุถุงุจุฑ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูˆุงุญุฏ ุชู„ุงุชูŠู† ุนููˆุง
204
+
205
+ 52
206
+ 00:03:21,880 --> 00:03:26,820
207
+ ู†ุงู‚ุต ูˆุงุญุฏ ู‡ุฐุง ุงุณุชุฎุฏู…ูˆู‡ ูƒุฃู† ู‡ูˆ ู…ูŠู† ุงู„ M ูุฌุงู„ูˆุง ุงู†
208
+
209
+ 53
210
+ 00:03:26,820 --> 00:03:31,480
211
+ ู‡ุฐุง ุงูุถู„ ุดูŠุก ู…ู…ูƒู† ู„ุงู† ุงู†ุช ู‡ุชุญุชุงุฌ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ู„ุฃ
212
+
213
+ 54
214
+ 00:03:31,480 --> 00:03:34,940
215
+ ุญูˆุงู„ูŠ ุงุชู†ูŠู† to the power ูˆุงุญุฏ ุชู„ุงุชูŠู† ู†ุงู‚ุต ุงุชู†ูŠู†
216
+
217
+ 55
218
+ 00:03:34,940 --> 00:03:38,760
219
+ element ู‚ุจู„ ู…ุง ุชุฑุฌุน ูŠุชูƒุฑุฑ ุชุงู†ูŠ ูุจุชูƒูˆู† ุญุชู‰ ู„ูˆ ุนู†ุฏูƒ
220
+
221
+ 56
222
+ 00:03:38,760 --> 00:03:41,720
223
+ ู…ู‡ู…ุฉ ุฎู„ุตุชู‡ุง ูˆุงู†ุชู‡ูŠุช ูŠุนู†ูŠ ุญุชู‰ ู„ูˆ ุจุฏูƒ ุชุนู…ู„ mask ุงูˆ
224
+
225
+ 57
226
+ 00:03:41,720 --> 00:03:45,860
227
+ ุงุดูŠ ู‡ุชูƒูˆู† ุฎู„ุตุชู‡ ู‚ุจู„ ู…ุง ุชุจุฏุฃ ููŠ ุนู…ู„ูŠุฉ ุงู„ุชูƒุฑุงุฑ ู‚ุจู„
228
+
229
+ 58
230
+ 00:03:45,860 --> 00:03:48,240
231
+ ู…ุง ุชูƒูˆู† ุจุฏุฃุช ููŠ ุนู…ู„ูŠุฉ ุงู„ุชูƒุฑุงุฑ ูุงู†ุชูˆุง ู…ุชุฎูŠู„ูŠู† ู‚ุฏุงุด
232
+
233
+ 59
234
+ 00:03:48,240 --> 00:03:51,330
235
+ ุงุชู†ูŠู† to the power ูˆุงุญุฏ ุชู„ุงุชูŠู†ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠ ุจุชุชูƒู„ู…
236
+
237
+ 60
238
+ 00:03:51,330 --> 00:03:55,470
239
+ ุนู† ุชู†ุช ุงู„ .. ุงู„ .. ุงู„ billion two billion ูˆ ูƒุณุฑ ู…ุด
240
+
241
+ 61
242
+ 00:03:55,470 --> 00:04:00,750
243
+ ู‡ูŠูƒ ุชู…ุงู… ู ุจุชูƒูˆู† ุฃู†ุณุจ ู…ู† ุฃุฑู‚ุงู… ุชุงู†ูŠุฉ ุทูŠุจ ุงู„
244
+
245
+ 62
246
+ 00:04:00,750 --> 00:04:04,330
247
+ multiplier ุจุณุชุฎุฏู…ู‡ ุณุจุนุฉ ุชุชุจุงุฑ ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ูˆ ุญูˆุงู„ูŠ
248
+
249
+ 63
250
+ 00:04:04,330 --> 00:04:08,830
251
+ ุณุชุงุดุฑ ุฃู„ู ุชู…ุงู…ูŠุฉ ูˆ ุณุจุนุฉ ูƒ parameter ุฃูˆ ูƒู‚ูŠู…ุฉ ู„ู„
252
+
253
+ 64
254
+ 00:04:08,830 --> 00:04:15,390
255
+ parameter a ูƒูˆูŠุณ ูˆุตู„ู†ุง ู‡ู†ุง ุน ุฏู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ูƒู†ุง
256
+
257
+ 65
258
+ 00:04:15,390 --> 00:04:20,450
259
+ ูˆุฌูู†ุง ุนู†ุฏ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ูˆ ู‚ู„ู†ุง ุงู†ู‡ุนุดุงู† ู†ุดุชุบู„ ุงู„ุดุบู„
260
+
261
+ 66
262
+ 00:04:20,450 --> 00:04:26,010
263
+ ู‡ุฐุง ูุนู„ูŠุง ูˆ ูุนู„ุง ุฃุจุฏุฃ ุฃุฌูŠุจ ู‚ูŠู… ู„ sequence ุฃูˆ ู†ููƒ
264
+
265
+ 67
266
+ 00:04:26,010 --> 00:04:29,570
267
+ .. ู†ููƒ ู„ุงุญุธ ุงู„ sequence ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒ ูุงู†ุช ุจุฏุฃุช
268
+
269
+ 68
270
+ 00:04:29,570 --> 00:04:32,310
271
+ ุชุฌูŠุจ ุงู„ุนูƒุณ ุชุจุนู‡ ุงู†ุช ุนู…ู„ุช encryption ุจุณ ุทูŠุจ ุงู„
272
+
273
+ 69
274
+ 00:04:32,310 --> 00:04:36,350
275
+ decryption ุฃู‡ู… ู…ู† ุงู„ encryption ูŠุนู†ูŠ ู‡ูˆ ู…ุด ุดุทุงุฑุฉ
276
+
277
+ 70
278
+ 00:04:36,350 --> 00:04:38,870
279
+ ุฃู† ุฃู†ุง ุฃุดูุฑ ุจูŠุงู†ุงุช ูˆ ุฃุฑู…ูŠู‡ุง ูˆ ุฃู†ุง ู…ุงุนุฑูุด ูƒู…ุงู†
280
+
281
+ 71
282
+ 00:04:38,870 --> 00:04:43,210
283
+ ุฃุฑุฌุญู‡ุง ุฏู‡ ูˆุด ุงุณุชูุฏู†ุง ู…ู†ู‡ุง ุทูŠุจ ุนู…ู„ูŠุฉ ุงู†ูƒ ุชุฑุฌุญู‡ุง
284
+
285
+ 72
286
+ 00:04:43,210 --> 00:04:48,290
287
+ ูŠุนู†ูŠ ูƒุฃู†ูƒ ุงู†ุช ุจุฏุฃุช ุชุฌูŠุจ ู‚ูŠู…ุฉ Xู…ู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฎุทูŠุฉ
288
+
289
+ 73
290
+ 00:04:48,290 --> 00:04:51,750
291
+ ูู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ a ููŠ x ู„ุฃู†ู‡ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู† ุงู„ a ุฏู‡
292
+
293
+ 74
294
+ 00:04:51,750 --> 00:04:54,910
295
+ ู‡ูˆ ุงู„ mask ูุงู†ุช ุถุฑุจุชู‡ ููŠ ุงู„ data ุงูŠู‡ ุทู„ุน ุนู†ุฏูƒ
296
+
297
+ 75
298
+ 00:04:54,910 --> 00:04:59,510
299
+ ู…ุนู„ูˆู…ุฉ ู…ุนูŠู†ุฉ ุชุดูŠุฑ ุชู…ุงู… ูุฅุฐุง ุงู†ุง ุจุฏูŠ ุงุฌูŠุจ ุงู„ู…ุนู„ูˆู…ุฉ
300
+
301
+ 76
302
+ 00:04:59,510 --> 00:05:04,290
303
+ ุจู…ุนู„ูˆู…ูŠุฉ ุงู„ mask ุงู„ู„ูŠ ุงู†ุง ุถุฑุจุช ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ ู…ู…ูƒู†
304
+
305
+ 77
306
+ 00:05:04,290 --> 00:05:10,550
307
+ ุงุฑุฌุน ุงุนู…ู„ู‡ ุงุนุงุฏุฉ generation ูˆุงู„ data ุงู„ู„ูŠ ุงู†ุจุนุชุช
308
+
309
+ 78
310
+ 00:05:10,550 --> 00:05:14,880
311
+ ุงุตู„ุง ุงู„ู„ูŠ ู‡ูŠ ูุนู„ุง ู…ุชูˆูุฑุฉ ูˆู…ุดูุฑุฉ ุงุตู„ุงู…ุด ู‡ูŠูƒ ู‡ูŠ ู…ุด
312
+
313
+ 79
314
+ 00:05:14,880 --> 00:05:19,140
315
+ ุดูุฑุฉ ุทูŠุจ ูƒูŠู ุจุฏูŠ ุฃุฌูŠุจ X ู…ู†ู‡ุงุŸ okay ุจุจุณุงุทุฉ ุฌุฏุง ุจุฌูŠุจ
316
+
317
+ 80
318
+ 00:05:19,140 --> 00:05:24,380
319
+ ุงู„ inverse ู„ A ุฃู…ุชุงุฒุฉ ุจุณ ุงู„ููƒุฑุฉ ุฃู† ุงู„ inverse ู„ A
320
+
321
+ 81
322
+ 00:05:24,380 --> 00:05:28,840
323
+ ู‡ูŠ ู…ุด ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ pure linear ู„ุฃ ู‡ูŠ ู…ุด pure linear
324
+
325
+ 82
326
+ 00:05:28,840 --> 00:05:33,760
327
+ ู‡ูŠ congruential ู‡ูŠ linear congruential ู„ูŠุดุŸ ู„ุฃู† ููŠ
328
+
329
+ 83
330
+ 00:05:33,760 --> 00:05:38,210
331
+ ุนู†ุฏูƒ ุงู„ modulus Mูุงู†ุช ู…ุง ุจุชู‚ุฏุฑ ุชุชุนุงู…ู„ ู…ุนู‡ุง ุฒูŠ ู…ุง
332
+
333
+ 84
334
+ 00:05:38,210 --> 00:05:41,090
335
+ ูƒู†ุช ุชุชุนุงู…ู„ ู…ุน ุงู„ linear ุงู„ pure linear ุงู„ู„ูŠ ูƒู†ุช
336
+
337
+ 85
338
+ 00:05:41,090 --> 00:05:44,630
339
+ ุชุดุชุบู„ู‡ุง ู„ุฃ ู‡ู†ุง ููŠ ุฎุตูˆุตูŠุฉ ุดูˆูŠุฉ ุงู„ุฎุตูˆุตูŠุฉ ุงู„ุดูˆูŠุฉ ู‡ูŠ
340
+
341
+ 86
342
+ 00:05:44,630 --> 00:05:51,290
343
+ ุงู† ุงู„ inverse ู„ู„ A ุจุงู„ module M ู„ุงุฒู… ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู†
344
+
345
+ 87
346
+ 00:05:51,290 --> 00:05:55,190
347
+ ุงู„ A prime ุจุญูŠุซ ุงู†ูƒ ุงู„ A prime ููŠ ุงู„ A ู‡ูˆ
348
+
349
+ 88
350
+ 00:05:55,190 --> 00:06:03,310
351
+ equivalent ุงูˆ congruent ู„ู„ูˆุงุญุฏ ูˆู„ุง ูŠุณุงูˆูŠ ุงู„ูˆุงุญุฏ ู‡ูŠ
352
+
353
+ 89
354
+ 00:06:03,310 --> 00:06:07,150
355
+ congruent ู„ู„ูˆุงุญุฏุนุงุฑููŠู† ุฅูŠุด ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฏุงู„ูƒ
356
+
357
+ 90
358
+ 00:06:07,150 --> 00:06:10,910
359
+ ุฅู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ ุฃูƒุชุฑ ู…ู† inverse ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏูƒ
360
+
361
+ 91
362
+ 00:06:10,910 --> 00:06:15,350
363
+ ุฃูƒุชุฑ ู…ู† inverse ู„ูƒู† ุงู„ููƒุฑุฉ ูˆูŠู†ุŸ ุงู„ููƒุฑุฉ ุฅู†ู‡ ุฃู†ุช
364
+
365
+ 92
366
+ 00:06:15,350 --> 00:06:18,630
367
+ ุนุดุงู† ูŠูƒูˆู† unique ูˆ ุชุณู…ูŠู‡ unique ุงู„ู…ูุฑูˆุถ ุฅู†ู‡ ููŠ ูƒู„
368
+
369
+ 93
370
+ 00:06:18,630 --> 00:06:24,510
371
+ one loop ู…ุงูŠูƒูˆู†ุด ุฅู„ุง inverse ูˆุญูŠุฏ okay ุฅุฐุง ุงู„
372
+
373
+ 94
374
+ 00:06:24,510 --> 00:06:27,010
375
+ inverse ุงู„ุชุงู†ูŠ ูŠูƒูˆู† ููŠ ุงู„ loop ุงู„ู„ูŠ ูˆุฑุงู‡ุง ููŠ ุงู„
376
+
377
+ 95
378
+ 00:06:27,010 --> 00:06:30,390
379
+ loop ุงู„ู„ูŠ ูˆุฑุงู‡ุง ุจุณ ู…ุด ูŠูƒูˆู† two inverse ููŠ ู†ูุณ ุงู„
380
+
381
+ 96
382
+ 00:06:30,390 --> 00:06:36,090
383
+ loopููŠ ู†ูุณ ุงู„ loop ุนุดุงู† ู†ุนู…ู„ ุงู„ูƒู„ุงู… ู‡ุฐุง ูˆ ู†ุถู…ู† ุงู†ู‡
384
+
385
+ 97
386
+ 00:06:36,090 --> 00:06:41,030
387
+ ูุนู„ุง ู…ุด ู‡ูŠุธู‡ุฑ two inverse ุงูˆ ุงู†ู‡ ูŠูˆุฌุฏ ุงุตู„ุง inverse
388
+
389
+ 98
390
+ 00:06:41,030 --> 00:06:46,920
391
+ ูƒู…ุงู†ุฏุงุฎู„ ุงู„ one loop ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู…ุญุชุงุฌูŠู† ู†ุญูƒู… ุจุณ
392
+
393
+ 99
394
+ 00:06:46,920 --> 00:06:49,960
395
+ ุงู„ A ู…ุน ุงู„ modulus ุงู„ A ู‡ุฐุง ุงู„ู„ูŠ ุจุฏู†ุง ู†ุฌูŠุจู„ู‡ ุงู„
396
+
397
+ 100
398
+ 00:06:49,960 --> 00:06:54,860
399
+ inverse ู…ุน ุงู„ modulus ูŠูƒูˆู†ูˆุง relatively prime ุฃูˆ
400
+
401
+ 101
402
+ 00:06:54,860 --> 00:06:58,740
403
+ co-prime ุนุดุงู† ุฃุถู…ู† ุฃู†ู‡ ุงู„ greatest common divisor
404
+
405
+ 102
406
+ 00:06:58,740 --> 00:07:04,280
407
+ between them ูˆุงุญุฏ ูู‡ู… ู…ุงููŠุด ุชูƒุฑุงุฑ ุจูŠู†ู‡ู… ูู…ุนู†ู‰ ุฐู„ูƒ
408
+
409
+ 103
410
+ 00:07:04,280 --> 00:07:09,310
411
+ ุฃู†ู‡ ุงู„ A ุจุชุธู‡ุฑุด ู…ุฑุชูŠู† ุฏุงุฎู„ ุงู„ Mุฏุงุฎู„ ุงู„ one loop
412
+
413
+ 104
414
+ 00:07:09,310 --> 00:07:12,990
415
+ ู…ุงุชุธู‡ุฑุด ุฃูƒุชุฑ ู…ู† ู…ุฑุฉ ูˆุงุญุฏุฉ ูุฅุฐุง ู„ูˆ ุฅู„ู‡ุง inverse
416
+
417
+ 105
418
+ 00:07:12,990 --> 00:07:19,250
419
+ ุจุถู…ู† ุฃู†ู‡ ุจุชูƒุฑุฑ ู…ุฑุฉ ูˆุงุญุฏุฉ ูู‚ุท ุฏุงุฎู„ ุงู„ one loop ุชู…ุงู…
420
+
421
+ 106
422
+ 00:07:19,250 --> 00:07:24,470
423
+ ูู…ุจุฏุฃูŠุง ุฅุฐุง ูƒุฏุฑู†ุง ู‡ู†ุง ุงู†ุญู‚ู‚ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุฃู†ู‡ ูุนู„ุง
424
+
425
+ 107
426
+ 00:07:24,470 --> 00:07:28,850
427
+ ุฃูŠ inverse ููŠ ู‚ูŠู…ุชู‡ ููŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุฃุตู„ูŠุฉ ุจุชุณุงูˆูŠ ูˆุงุญุฏ
428
+
429
+ 108
430
+ 00:07:28,850 --> 00:07:32,730
431
+ ุจุณ ุจุฏู†ุง ู†ุงุฎุฏ ุฃู†ู‡ ู†ุงุฎุฏ ุจุฃู†ู‡ุง modulo M ู‡ุฐุง ู…ุนู†ุงู‡ ุฅุฐุง
432
+
433
+ 109
434
+ 00:07:32,730 --> 00:07:35,610
435
+ ูƒุงู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ูƒุฏุฑู†ุง ู†ุฌูŠุจู‡ุง ู…ุฌุฑุฏ ุฃู†ู‡ ุจุถุฑุจู‡ุง ููŠ
436
+
437
+ 110
438
+ 00:07:35,610 --> 00:07:41,140
439
+ ุงู„ุทุฑููŠู† ู„ู„ู…ุนุงุฏู„ุฉููŠ ุงู„ุทุฑููŠู† ุนุดุงู† ุงู‚ูˆู„ ุงู† ู‡ุฐุง ุจูŠุณุงูˆูŠ
440
+
441
+ 111
442
+ 00:07:41,140 --> 00:07:46,940
443
+ ูˆุงุญุฏ ุญุณุจ ุงู„ู…ุนุงุฏู„ุฉ ูˆุงุญุฏ ูุจุชุถุงู„ X ูˆ ุจู‚ุฏุฑ ุงุณุชุฎุฑุฌ ู‚ูŠู…ุฉ
444
+
445
+ 112
446
+ 00:07:46,940 --> 00:07:50,720
447
+ X ู†ู‚ุฏุฑ ููŠ ุงู„ุญุงู„ุฉ ู‡ุชุณุชุฎุฑุฌ ู‚ูŠู…ุฉ ุงู„ X ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
448
+
449
+ 113
450
+ 00:07:50,720 --> 00:07:57,720
451
+ ุนู†ุฏู†ุง ูƒ A prime ููŠ B ูŠุนู†ูŠ ุงู„ A inverse ู„ ุงู„ mask
452
+
453
+ 114
454
+ 00:07:57,720 --> 00:08:01,380
455
+ ุงูˆ ู„ ุงู„ random numbers ุงู„ู„ูŠ ุงู†ุช ุงุณุชุฎุฏู…ุชู‡ุง ููŠ ุงู„
456
+
457
+ 115
458
+ 00:08:01,380 --> 00:08:04,390
459
+ output ุงู„ู„ูŠ ูˆุตู„ูƒ ุงุตู„ุงููŠ ุงู„ output ุงู„ู„ูŠ ูˆุตู„ูƒ ุชุถุฑุจู‡ู…
460
+
461
+ 116
462
+ 00:08:04,390 --> 00:08:07,490
463
+ ููŠ ุจุนุถ ูˆ ุชุฌูŠุจ ู‚ูŠู…ุฉ A ุทูŠุจ ู‡ุฐุง ุงู„ูƒู„ุงู… ุนุดุงู† ูŠุชุญู‚ู‚
464
+
465
+ 117
466
+ 00:08:07,490 --> 00:08:10,910
467
+ ูุนู„ูŠุง ูˆ ุฃูƒูˆู† ุถุงู…ู† ุงู†ู‡ ุตุญูŠุญ ุงู„ greatest common
468
+
469
+ 118
470
+ 00:08:10,910 --> 00:08:13,810
471
+ divisor ุจูŠู† ุงู„ A ูˆ ุงู„ M ู„ุงุฒู… ูŠูƒูˆู† ุจุณุงูˆูŠ ูˆุงุญุฏ ุนุดุงู†
472
+
473
+ 119
474
+ 00:08:13,810 --> 00:08:16,930
475
+ ุฃุถู…ู† ุงู† ู‡ู… relatively prime ุงูˆ coprime ุงูˆ coprime
476
+
477
+ 120
478
+ 00:08:16,930 --> 00:08:21,490
479
+ ุทุจุนุง ุงู„ M ู„ุงุฒู… ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ูˆุงุญุฏ ูŠุนู†ูŠ by logic
480
+
481
+ 121
482
+ 00:08:21,490 --> 00:08:24,030
483
+ ู„ุงุฒู… ุชูƒูˆู† ุจู‡ุฐุง ุงู„ุดูƒู„ ูููŠ ุงู„ุญุงู„ุฉ ุฏูŠ ุงุฐุง ุงุชุญู‚ู‚ ู‡ุฐุง
484
+
485
+ 122
486
+ 00:08:24,030 --> 00:08:28,050
487
+ ุงู„ูƒู„ุงู… ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู† ุงู„ A has a unique inverse
488
+
489
+ 123
490
+ 00:08:28,050 --> 00:08:34,930
491
+ ูุนู„ูŠุง ู‡ูŠ ู„ู‡ุง unique inverse A primeุจุงุณุชุฎุฏุงู… ุงู„ู…ุฏู„ูˆ
492
+
493
+ 124
494
+ 00:08:34,930 --> 00:08:38,890
495
+ M ู„ุฃู† ุงุณุชุฎุฏุงู… ู…ุฏู„ูˆ ุชุงู†ูŠ ู‚ูŠู…ุฉ ุชุงู†ูŠุฉ ู„ ุงู„ modulus
496
+
497
+ 125
498
+ 00:08:38,890 --> 00:08:43,770
499
+ ู…ู…ูƒู† ูŠุฎุชู„ู ุงู„ูƒู„ุงู…ุŒ ู‡ูŠุฎุชู„ู ุชู…ุงู…ุงุŒ ุชู…ุงู…ุŸ ูุฅุฐุง ู‡ุฐู‡
500
+
501
+ 126
502
+ 00:08:43,770 --> 00:08:47,910
503
+ ู…ุนุงุฏู„ุฉ ุฃุณุงุณูŠุฉ ูˆู…ู‡ู…ุฉ ุฌุฏุงุŒ okay ุฎู„ุตู†ุง ู…ู† ุงู„ู…ุนุงุฏู„ุฉ
504
+
505
+ 127
506
+ 00:08:47,910 --> 00:08:50,450
507
+ ุงู„ุฃุณุงุณูŠุฉ ูˆุงู„ู…ู‡ู…ุฉ ุฌุฏุง ูƒ conceptุŒ ุงู„ุขู† ูƒูŠู ุจุฏู†ุง
508
+
509
+ 128
510
+ 00:08:50,450 --> 00:08:53,650
511
+ ู†ุทุจู‚ู‡ุงุŸ ุฌุงูŠู†ุง ุงู„ูƒู„ุงู…ุŒ ู‡ูŠุฌูŠู†ุง ุงู„ูƒู„ุงู…ุŒ ุจุณ ุจุฏู†ุง ู†ุงุฎุฏ
512
+
513
+ 129
514
+ 00:08:53,650 --> 00:08:58,480
515
+ ุจุงู„ู†ุง ุฃู† ูƒูŠู ุฃุฌูŠุจ ุงู„ inverseุจู…ุนุงุฏู„ุงุช ุจุณูŠุทุฉ ุนุดุงู†
516
+
517
+ 130
518
+ 00:08:58,480 --> 00:09:03,320
519
+ ู„ู…ุง ู†ูƒุจุฑ ุงู„ู…ุนุงุฏู„ุงุช ุจุชุงุนุชู†ุง ู†ูƒูˆู† ุจู†ูุณ ุงู„ู†ู‡ุฌ ู†ุดุชุบู„
520
+
521
+ 131
522
+ 00:09:03,320 --> 00:09:08,780
523
+ ูู…ุจุฏุฃูŠุง ู…ูŠู† ุงู„ู„ูŠ ูŠุญู„ู„ู†ุง ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุจุฒูˆุนู„ู‰ ุจุงู„ู„ูุธ
524
+
525
+ 132
526
+ 00:09:08,780 --> 00:09:13,780
527
+ ุงู„ูุฑู†ุณูŠ ุฃูˆ ุจุฒุงูˆุช ุจุงู„ู„ูุธ ุงู„ุฅู†ุฌู„ูŠุฒูŠ ูู‡ูŠ ุจุฒุงูˆ ุนู„ู‰
528
+
529
+ 133
530
+ 00:09:13,780 --> 00:09:18,880
531
+ ุฃุณุงุณ ุฃู†ู‡ ูุฑู†ุณูŠ ุฃู‡ูˆ ุฃุณุงุณุง ุฒูŠ bijou ุชู†ูƒุชุจ ุง ุงูˆ ุงูˆ U2
532
+
533
+ 134
534
+ 00:09:18,880 --> 00:09:26,140
535
+ ุจุณ T ุจุณ ู‡ูŠ ุจุฒุงูˆ ูƒูˆูŠุณ ูุฅุฐุง ุฅุฐุง ุจุฏู†ุง ู†ุชูƒู„ู… ุนู† ุจุฒุงูˆุช
536
+
537
+ 135
538
+ 00:09:26,140 --> 00:09:34,260
539
+ ุงูˆ ุจุฒุงูˆ coefficients ู„ุงู„ุชู„ุงุชุฉ modulo seven ูƒุฃู†ู‡
540
+
541
+ 136
542
+ 00:09:34,260 --> 00:09:37,560
543
+ ุจุฏู‡ ุงุฌูŠุจ ุงูŠุด ุงู„ุฑู‚ู…ูŠู† ุงู„ู„ูŠ ุจุฏู‡ ุงุถุฑุจู‡ู… ุฑู‚ู… ูู‰
544
+
545
+ 137
546
+ 00:09:37,560 --> 00:09:41,740
547
+ ุงู„ุชู„ุงุชุฉ ูˆุฑู‚ู… ูู‰ ุงู„ุณุจุนุฉ ุจุญูŠุซ ุงู†ู‡ ุญุงุตู„ ุงู„ุถุฑุจูŠู† ุจุณูˆุก
548
+
549
+ 138
550
+ 00:09:41,740 --> 00:09:46,820
551
+ ุจุนุถุงูˆ inverse ู„ุจุนุถ ุทูŠุจ inverse ู„ุจุนุถ ู…ุนู†ุงุชู‡ ุงู†ู‡
552
+
553
+ 139
554
+ 00:09:46,820 --> 00:09:50,300
555
+ ุงู„ู…ูุฑูˆุถ ุจูŠุณุงูˆูŠ .. ุจูŠุณุงูˆูŠ ู…ุฌู…ูˆุญู‡ู… ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุงู„ู„ูŠ
556
+
557
+ 140
558
+ 00:09:50,300 --> 00:09:53,020
559
+ ู‡ูˆ ุงู„ inverse ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ inverse ุชุจุนู‡ุง ุจูŠุณุงูˆูŠ
560
+
561
+ 141
562
+ 00:09:53,020 --> 00:09:56,980
563
+ ูˆุงุญุฏ ุชู…ุงู… ูู‡ู†ุง ุจู†ุจุญุซ ุนู†ู‡ุง ุงูˆู„ ุดุบู„ ุนุดุงู† ู†ุนู…ู„ ู‡ุฐุง
564
+
565
+ 142
566
+ 00:09:56,980 --> 00:10:02,780
567
+ ุงู„ูƒู„ุงู… ู‡ู„ ูุนู„ุง ุงู„ .. ุงู„ bizot coefficient ู…ู…ูƒู† ูˆู„ุง
568
+
569
+ 143
570
+ 00:10:02,780 --> 00:10:06,710
571
+ ู„ุฃุŸู‡ู„ ู‡ูˆ ู…ู…ูƒู† ูˆู„ุง ู„ุฃุŸ ุนุดุงู† ุฃู‚ูˆู„ ู‡ูˆ ู…ู…ูƒู† ูˆู„ุง ู„ุฃุŒ
572
+
573
+ 144
574
+ 00:10:06,710 --> 00:10:10,490
575
+ ุจุฏู†ุง ู†ุทุจู‚ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ูƒุงู†ุช ุฃุฎุฑ ู†ุธุฑูŠุฉ ูˆุดูˆูู†ุงู‡ุง
576
+
577
+ 145
578
+ 00:10:10,490 --> 00:10:17,190
579
+ ุงู„ู€A ูˆุงู„ู€M ู„ุงุฒู… ูŠูƒูˆู†ูˆุง co-prime ู„ุงุฒู… ูŠูƒูˆู†ูˆุง co
580
+
581
+ 146
582
+ 00:10:17,190 --> 00:10:20,510
583
+ -prime ุฃูˆ relatively primeุŒ ูุฅุฐุง ุชู„ุงุชุฉ ุฃูˆ ุณุจุนุฉ ู‡ู…ุง
584
+
585
+ 147
586
+ 00:10:20,510 --> 00:10:24,290
587
+ ูุนู„ุง co-primeุŒ ู„ุฃู† ู‡ู…ุง ุฃุณุงุณุง ุงู„ู€primes ู‡ู…ุง ุฃุณุงุณุง
588
+
589
+ 148
590
+ 00:10:24,290 --> 00:10:27,370
591
+ ุงู„ู€primes ูƒู…ุงู†ุŒ ุชู…ุงู…ุŒ ูููŠ ุงู„ุญุงู„ุฉ ุฏูŠ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู†
592
+
593
+ 149
594
+ 00:10:27,370 --> 00:10:33,930
595
+ ููŠ ู‚ูŠู…ุฉ ู…ู…ูƒู† ุฃุถุฑุจู‡ุง ููŠ ุงู„ุฃูˆู„ุชู…ุงู…ุŸ ูˆ ุฃุฌู…ุนู‡ุง ุนู„ู‰
596
+
597
+ 150
598
+ 00:10:33,930 --> 00:10:37,930
599
+ ุงู„ุชุงู†ูŠ ู…ุถุฑูˆุจ ููŠ K ู…ุนูŠู†ุฉ ุจุญูŠุซ ุงู†ู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุจุญูŠุซ
600
+
601
+ 151
602
+ 00:10:37,930 --> 00:10:41,890
603
+ ุงู†ู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุงูŠุด ุงุณุชูุฏุช ู…ู† ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
604
+
605
+ 152
606
+ 00:10:41,890 --> 00:10:45,470
607
+ biz out ุงู„ biz out ุงูˆ ุงู„ bizo coefficient ู‡ุฐู‡
608
+
609
+ 153
610
+ 00:10:45,470 --> 00:10:49,610
611
+ ุงุณุชูุฏุช ู…ู†ู‡ุง ูƒุงู„ุชุงู„ูŠ ู…ุฏุงู… ุงู†ุง ุจุดุชุบู„ ุนู„ู‰ ุงู„ modulus
612
+
613
+ 154
614
+ 00:10:49,610 --> 00:10:54,930
615
+ ุณุจุนุฉ ู…ุนู†ุงุชู‡ ุงู„ุณุงู„ุจ ุงุชู†ูŠู† ู‡ูŠ ูุนู„ูŠุง ุงู„ inverse
616
+
617
+ 155
618
+ 00:10:54,930 --> 00:11:01,360
619
+ ู„ู„ุชู„ุงุชุฉ modulo ุณุจุนุฉ modulo ุณุจุนุฉู‡ูŠ ูุนู„ูŠุง ุงู„ inverse
620
+
621
+ 156
622
+ 00:11:01,360 --> 00:11:06,720
623
+ ุชุจุนู‡ุง ุงู„ inverse ุชุจุนู‡ุง ููŠ ุฃูŠ ู„ูุฉ ููŠ ุงู„ู„ูุฉ ุงู„ุฃูˆู„ู‰
624
+
625
+ 157
626
+ 00:11:06,720 --> 00:11:12,040
627
+ ููŠ ุงู„ู„ูุฉ ุงู„ุฃูˆู„ู‰ ุทุจ ููŠ ุงู„ู„ูุฉ ุงู„ุชุงู†ูŠุฉ ู…ุนู†ุงู‡ ุฃู†ู†ุง
628
+
629
+ 158
630
+ 00:11:12,040 --> 00:11:16,000
631
+ ู†ุถูŠู ุณุจุนุฉ ุนู„ู‰ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ู„ุฃู†ู‡ ุฎู„ุงุต ู…ุง ู‡ูŠุญุตูŠุฑ ุชูƒุฑุฑ
632
+
633
+ 159
634
+ 00:11:16,000 --> 00:11:20,200
635
+ ุญุตูŠุฑ ุชูƒุฑุฑูŠุฉ ุจุงุนุชุจุงุฑ ุฃู†ู‡ ุงู„ุณุงู„ุจ ุงุชู†ูŠู† ูุนู„ูŠุง ู‡ูˆ
636
+
637
+ 160
638
+ 00:11:20,200 --> 00:11:24,340
639
+ ู‡ูŠูƒูˆู† congruent ู„ุฃูŠ ุฑู‚ู… ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุณุจุนุฉ ุงู„
640
+
641
+ 161
642
+ 00:11:24,340 --> 00:11:28,370
643
+ modulusู…ูˆุฏูŠู„ูˆุณ ุฒูŠ ุงู„ุณุงุนุฉ ุฒูŠ ุงู„ุณุงุนุฉ ุฅุฐุง ูƒุงู†
644
+
645
+ 162
646
+ 00:11:28,370 --> 00:11:32,890
647
+ ุงู„ู…ูˆุฏูŠู„ูˆุณ ุชุจุนูƒ ุงุชู†ุงุด ูุงู„ูˆุงุญุฏุฉ ุชูƒุงูุฆ ู…ูŠู† ุงุฌู…ุน ุงุชู†ุงุด
648
+
649
+ 163
650
+ 00:11:32,890 --> 00:11:37,030
651
+ ุชูƒุงูุฆ ุชู„ุชุงุด ูˆุงู„ุชู„ุชุงุด ุงุฌู…ุน ูƒู…ุงู† ุงุชู†ุงุด ุชูƒุงูุฆ ุงู„ุฎู…ุณุฉ
652
+
653
+ 164
654
+ 00:11:37,030 --> 00:11:41,770
655
+ ูˆุนุดุฑูŠู† ู‡ูŠ ู‡ูŠ ูุฅุฐุง congruent ู„ุจุนุถ ูƒู„ู‡ู… ู†ูุณ ู‚ูŠู…ุฉ
656
+
657
+ 165
658
+ 00:11:41,770 --> 00:11:45,310
659
+ ุงู„ุณุงุนุฉ ูƒุณุงุนุฉ ูƒุณุงุนุฉ ูุงู†ุช ุญุชู‰ ุงู„ุณุงุนุฉ ุฎู…ุณุฉ ูˆุนุดุฑูŠู†
660
+
661
+ 166
662
+ 00:11:45,310 --> 00:11:48,690
663
+ ุจุชู‚ุฏุฑ ุชู‚ูˆู„ู‡ุง ุณุงุนุฉ ูˆุงุญุฏุฉ ุงู„ุณุงุนุฉ ุชู„ุชุงุด ู‡ูŠ ุณุงุนุฉ ูˆุงุญุฏุฉ
664
+
665
+ 167
666
+ 00:11:49,490 --> 00:11:54,610
667
+ ุชู…ุงู… ูู„ูƒู† ูˆูŠู†ุŸ ููŠ ู„ูุฉ ุชุงู†ูŠุฉ ููŠ ุงู„ู„ูุฉ ุงู„ุชุงู†ูŠุฉ ู…ู†
668
+
669
+ 168
670
+ 00:11:54,610 --> 00:11:59,550
671
+ ุงู„ุณุงุนุฉ ูู†ูุณ ุงู„ููƒุฑุฉ ู‡ู†ุง ุจุชู‚ุฏุฑ ุชู‚ูˆู„ ุงู†ู‡ ุงู„ Bizot
672
+
673
+ 169
674
+ 00:11:59,550 --> 00:12:03,670
675
+ coefficient ู‡ูˆ ุจูŠุถู…ู†ู„ูƒ ุงู†ู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู…ุถุฑูˆุจุฉ ููŠ
676
+
677
+ 170
678
+ 00:12:03,670 --> 00:12:11,290
679
+ ุงู„ A ูˆูŠู† ุงู„ modulus ูƒุงุชุจูŠู†ู‡ ุงุญู†ุงุŸ ููŠ ุงู„ AุญูŠูƒูˆู† ู‡ูˆ
680
+
681
+ 171
682
+ 00:12:11,290 --> 00:12:15,930
683
+ ุงู„ inverse ู„ L ูˆ ู„ A ููŠ ุงู„ู„ูุฉ ุงู„ู„ูŠ ู…ุถุฑูˆุจุฉ ููŠ ู…ูŠู†
684
+
685
+ 172
686
+ 00:12:15,930 --> 00:12:19,670
687
+ ููŠ ุงู„ modulus ุจุญูŠุซ ุงู†ู‡ ุงู„ุงุชู†ูŠู† ู…ุน ุจุนุถ ุจุณุงูˆูŠ ุจุณุงูˆูŠ
688
+
689
+ 173
690
+ 00:12:19,670 --> 00:12:24,410
691
+ ูˆุงุญุฏ ุทูŠุจ ุงู„ุงู† ู‡ุฐู‡ ู…ุด ุนู„ู‰ ุฌุฏ ุณุงู„ุจ ุงุชู†ูŠู† ูู‚ุท ุงุฌู…ุน
692
+
693
+ 174
694
+ 00:12:24,410 --> 00:12:30,010
695
+ ุณุจุนุฉ ู…ุนู†ุงุชู‡ ุญุชู‰ ุงู„ุฎู…ุณุฉ ู‡ูŠ inverse ู„ Lุงู„ุชู„ุงุชุฉ
696
+
697
+ 175
698
+ 00:12:30,010 --> 00:12:33,250
699
+ ุงู„ุณุงู„ุจ ุชุณุนุฉ ุจุฑุถู‡ inverse ู„ู„ุชู„ุงุชุฉ ุงู„ุงุทู†ุน๏ฟฝ๏ฟฝ inverse
700
+
701
+ 176
702
+ 00:12:33,250 --> 00:12:37,610
703
+ ู„ู„ุชู„ุงุชุฉ ูˆ ู‡ูƒุฐุง ุฎู„ุงุต ู„ุฃู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ูˆุงุญุฏุฉ ู‡ูŠ
704
+
705
+ 177
706
+ 00:12:37,610 --> 00:12:41,430
707
+ ู†ูุณู‡ุง ุชู„ุช ุนุดุฑ ู‡ูŠ ู†ูุณู‡ุง ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ูˆ ุจุฏูƒ ุชุฌู…ุน
708
+
709
+ 178
710
+ 00:12:41,430 --> 00:12:45,850
711
+ ุฃูƒุชุฑ ูƒู…ู„ ู…ุด ู…ุดูƒู„ุฉ ูƒู„ู‡ู… ููŠ ุงู„ู†ู‡ุงูŠุฉ ู…ุฏุงู… ุชุญุช ุงู„
712
+
713
+ 179
714
+ 00:12:45,850 --> 00:12:49,850
715
+ module operation ูƒู„ู‡ู… ู…ุชูƒุงูุฆูŠู† ูƒู„ู‡ู… congruent ู„ู…ู†ุŸ
716
+
717
+ 180
718
+ 00:12:49,850 --> 00:12:55,470
719
+ ู„ุจุนุถ ูƒู„ู‡ู… congruent ู„ุจุนุถ ุงู„ุณุงู„ุจ ุชุณุนุฉ ู‡ุชูƒูˆู† ุงู‡ ูƒุฃู†ูƒ
720
+
721
+ 181
722
+ 00:12:55,470 --> 00:12:58,710
723
+ ุนูƒุณูŠู…ุง ุชุฏูŠุฑูŠ ุจุงู„ูƒ ุงู†ุช ุงู„ู„ูุงุช ุงู„ุงู† ูŠุง ุงู…ุง ู…ุน ุงู‚ุงุฑุจ
724
+
725
+ 182
726
+ 00:12:58,710 --> 00:13:01,050
727
+ ุงู„ุณุงุนุฉ ูŠุง ุงู…ุง ุนูƒุณ ุงู‚ุงุฑุจ ุงู„ุณุงุนุฉ ุงู†ุช ุนู†ุฏูƒ ุญุฑูŠุฉ
728
+
729
+ 183
730
+ 00:13:01,050 --> 00:13:05,290
731
+ ุจุชุชุญุฑูƒ ุจุณู‡ูˆู„ุฉ ุฌุฏุง ู‡ู†ุง ุณุงู„ุจ ุงุชู†ูŠู† ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ุงู†ุช
732
+
733
+ 184
734
+ 00:13:05,290 --> 00:13:10,390
735
+ ุจุชุชุญุฑูƒ ุนูƒุณ ุงู‚ุงุฑุจ ุงู„ุณุงุนุฉ ู‡ูŠู‡ุง ูˆู‡ูŠ ู…ูƒุงูุฆุฉ ู‡ูŠ ู„ู„ุฎู…ุณุฉ
736
+
737
+ 185
738
+ 00:13:10,390 --> 00:13:14,970
739
+ ู…ุน ุงู‚ุงุฑุจ ุงู„ุณุงุนุฉ ู‡ูŠ ู…ูƒุงูุฆุฉ ู„ู„ุฎู…ุณุฉ ู…ุน ุงู‚ุงุฑุจ ุงู„ุณุงุนุฉ
740
+
741
+ 186
742
+ 00:13:14,970 --> 00:13:21,380
743
+ ุชู…ุงู… ู‡ุงู„ูˆุงุฌู‡ุฉ ู„ู…ุง ุชูŠุฌูŠ ุชุถุฑุจู‡ู… ู‡ู†ุง ููŠ ุจุนุถู‡ู…ุชุถุฑุจ ููŠ
744
+
745
+ 187
746
+ 00:13:21,380 --> 00:13:25,320
747
+ ุจุนุถ ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ุถู…ู† ุงู„ modulus ูŠุณุงูˆูŠ ูˆุงุญุฏ ุงู„ู…ูุฑูˆุถ
748
+
749
+ 188
750
+ 00:13:25,320 --> 00:13:31,660
751
+ ุถู…ู† ุงู„ modulus ูŠูƒูˆู† ุจุณุงูˆูŠ ุงู„ูˆุงุญุฏ ุทูŠุจ ุงู„ูƒู„ุงู… ุฏู‡ ูƒูŠู
752
+
753
+ 189
754
+ 00:13:31,660 --> 00:13:36,350
755
+ ู…ู…ูƒู† ุงู†ุทุจู‚ู‡ ุนู„ู‰ ู…ุนุงุฏู„ุฉ ุฃูƒุจุฑุŸุนู„ู‰ ู…ุนุงุฏู„ุฉ ุฃูƒุจุฑุŒ
756
+
757
+ 190
758
+ 00:13:36,350 --> 00:13:39,390
759
+ ู„ุงุญุธูˆุงุŒ ุฃู†ู„ุฎุต ุงู„ู„ูŠ ู‚ู„ู†ุงู‡ุง ู‚ุจู„ ุดูˆูŠุฉุŒ ูƒุงู† ููŠ ุนู†ุฏูŠ
760
+
761
+ 191
762
+ 00:13:39,390 --> 00:13:44,350
763
+ theorem ู…ู‡ู… ุฌุฏุง ุฃู†ู‡ ุฃุถู…ู† ุฃูˆู„ ุดุบู„ุฉ ุฃู†ู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ
764
+
765
+ 192
766
+ 00:13:44,350 --> 00:13:49,470
767
+ ุจุฏู‡ ุฃุฌูŠุจ ู„ู‡ุง ุงู„ inverse ู‡ูŠ co-prime ู…ุน ุงู„ modulus
768
+
769
+ 193
770
+ 00:13:49,470 --> 00:13:55,630
771
+ ุนุดุงู† ู†ุถู…ู† ุฃู†ู‡ ุฃูˆู„ ุดุบู„ุฉ ููŠ inverse ูˆ unique inverse
772
+
773
+ 194
774
+ 00:13:56,660 --> 00:13:59,100
775
+ ู†ุถู…ู† ุงู†ู‡ unique inverse ุงู…ุชู‰ ุจู‚ุฏุฑ ุงุถู…ู† ุงู†ู‡ unique
776
+
777
+ 195
778
+ 00:13:59,100 --> 00:14:01,980
779
+ inverse ุงุฐุง ูƒุงู† relatively prime ุจู…ุนู†ู‰ ุงู†ู‡ ู…ุด
780
+
781
+ 196
782
+ 00:14:01,980 --> 00:14:07,870
783
+ ู‡ูŠูƒูˆู† ููŠู‡ ุงูƒุชุฑ ู…ู† inverse ููŠ ู†ูุณ ุงู„ู„ูุฉุทูŠุจ ู†ูุณ
784
+
785
+ 197
786
+ 00:14:07,870 --> 00:14:10,770
787
+ ุงู„ู„ูุฉ ู‡ูˆ ู…ูŠู† ุงู„ู„ูŠ ุจูŠู…ุซู„ ุงู„ู„ูุฉุŸ ุงู„ modulus ู‡ูˆ ุงู„ู„ูŠ
788
+
789
+ 198
790
+ 00:14:10,770 --> 00:14:14,690
791
+ ุจูŠู…ุซู„ ุฅูŠุด ูŠุนู†ูŠ ู„ูุฉุŸ ูŠุนู†ูŠ ุงู„ุฃุชู†ุงุด ู‡ูŠ ุงู„ู„ูŠ ุชู…ุซู„ ุฅูŠุด
792
+
793
+ 199
794
+ 00:14:14,690 --> 00:14:17,730
795
+ ู…ุนู†ุงู‡ .. ุฅูŠุด ู…ูู‡ูˆู… ูƒู„ู…ุฉ ู„ูุฉุŸ ุงู„ one loop ู‡ุฐุง ุฅูŠุด
796
+
797
+ 200
798
+ 00:14:17,730 --> 00:14:20,990
799
+ ู…ุนู†ุงู‡ุŸ ุฅุชู†ุงุด ุฅุฐุง ุฃู†ุง ุจุชูƒู„ู… ุนู† ุงู„ุณุงุนุฉ ุทูŠุจ ู„ู…ุง ุจุฏูŠ
800
+
801
+ 201
802
+ 00:14:20,990 --> 00:14:23,690
803
+ ุฃุฌูŠุจ in ุฃูŠ inverse ุฃูˆ ุฃูŠ ุฑู‚ู… ุงู„ inverse ุชุจุนู‡
804
+
805
+ 202
806
+ 00:14:23,690 --> 00:14:27,410
807
+ ู…ุนู†ุงุชู‡ ุจุฏูŠ ุฃุฌูŠุจ ุงู„ relation ุจูŠู†ู‡ ุจูŠู† ุงู„ modulus ู‡ู„
808
+
809
+ 203
810
+ 00:14:27,410 --> 00:14:33,340
811
+ ู‡ู… ุจุชูƒุฑุฑูˆุด ุฃูƒุชุฑ ู…ู† ู…ุฑุฉุŸ ุจู‡ุฐุง ุงู„ุดูƒู„ูุฃูˆู„ operation
812
+
813
+ 204
814
+ 00:14:33,340 --> 00:14:37,560
815
+ ู„ู…ุง ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ุจุฏูŠ ุงุฌูŠุจ ุงู„ inverse ู„ 101 ู…ูˆุฏูŠูˆู„ู‡
816
+
817
+ 205
818
+ 00:14:37,560 --> 00:14:44,560
819
+ 4620 ู…ุซู„ุง ุงูˆู„ ุดุบู„ุฉ ุจุฏู‡ ุงุถู…ู†ู‡ุง ุงู† ุงู„ inverse ุงูˆ ุงู„
820
+
821
+ 206
822
+ 00:14:44,560 --> 00:14:52,440
823
+ 101 ู‡ุฐู‡ ู‡ูŠูƒูˆู† ููŠ ูƒู„ ู„ูุฉ ู„ู‡ุง one unique inverse ูู‚ุท
824
+
825
+ 207
826
+ 00:14:52,440 --> 00:14:57,180
827
+ one unique inverse ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ู‡ุถูŠุน ุงู„ุฃู…ูˆุฑ ู‡ูŠูƒูˆู†
828
+
829
+ 208
830
+ 00:14:57,180 --> 00:15:02,000
831
+ ู…ู† ุงู„ุณู‡ู„ ูƒุณุฑ ุงู„ูƒูˆุฏ ุงุตู„ุง ู„ุงู†ู‡ ู‡ูŠุตูŠุฑ ุงู„ุชูƒุฑุงุฑุงุชุฌุฑูŠุจุฉ
832
+
833
+ 209
834
+ 00:15:02,000 --> 00:15:08,660
835
+ ุงูƒุชูŠุฑ ุงู‚ู„ ู…ู† ู‚ูŠู…ุฉ ุงู„ู…ุฌู„ุณ ุงู„ู„ู‰ ุงู†ุช ู…ุชูˆู‚ุนู‡ ุงู†ุช ู…ุชูˆู‚ุน
836
+
837
+ 210
838
+ 00:15:08,660 --> 00:15:15,980
839
+ ุงู†ู‡ ุจุนุฏ 4619 ูŠุฑุฌุน ูŠุชูƒุฑุฑ ู…ุด ู‡ูŠูƒ ูุนู„ูŠุง ู…ุงุจูŠุตุฑุด ู‡ุชุฌุฏ
840
+
841
+ 211
842
+ 00:15:15,980 --> 00:15:18,540
843
+ ุงู†ู‡ ู„ุฃ ู‡ู… ูุนู„ูŠุง ู…ุงุชุตุฑุด ุจู‡ุฐุง ุงู„ุดูƒู„ ู„ูŠุด ู„ุฃู†ู‡
844
+
845
+ 212
846
+ 00:15:18,540 --> 00:15:23,960
847
+ relatively prime ู…ุงุชุญู‚ู‚ุชุด ููุนู„ูŠุง ุจุชูƒุฑุฑ ุจู…ุณุงูุงุช ุงู‚ู„
848
+
849
+ 213
850
+ 00:15:23,960 --> 00:15:29,750
851
+ ุจุตูŠุฑ ุทูŠุจ ู†ุดูˆู ุงู„ุงู†ุญุณุงุจูŠุง ูƒูŠู ุจุฏู†ุง ู†ุนู…ู„ ู‡ุฐุง ุงู„ูƒู„ุงู…ุŸ
852
+
853
+ 214
854
+ 00:15:29,750 --> 00:15:32,770
855
+ ุฃูˆู„ ุดุบู„ุฉ ุญุณุงุจูŠุง ุนุดุงู† ู†ู†ูุฐ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุงุญู†ุง ุจู†ู‚ูˆู„ู‡
856
+
857
+ 215
858
+ 00:15:32,770 --> 00:15:35,570
859
+ ุนุดุงู† ุฃุฌูŠุจ ุงู„ inverse ู„ 101 ูƒุฃู†ูŠ ุจุฏู‡ ุฃู‚ูˆู„ ุฅูŠุด
860
+
861
+ 216
862
+ 00:15:35,570 --> 00:15:40,210
863
+ ุงู„ู‚ูŠู…ุฉุŸ ู‚ูŠู…ุฉ ุงู„ inverse ู‡ูŠ ุงู„ู„ูŠ ุจุฏู‡ ุฃุถุฑุจู‡ุง ููŠ 101
864
+
865
+ 217
866
+ 00:15:40,210 --> 00:15:45,410
867
+ ุจุญูŠุซ ุฃู†ู‡ ู„ูˆ ุฌู…ุนู†ุงู‡ุง ุนู„ู‰ ุงู„ modulus ููŠ B ูˆุงุญู†ุง
868
+
869
+ 218
870
+ 00:15:45,410 --> 00:15:49,590
871
+ ุนุงุฑููŠู† ุจูŠู‡ุง ุฏูŠ ู‡ูŠู…ุซู„ ููŠ ุงู„ุขุฎุฑ ุนุฏุฏ ู„ูุงุช ุนุฏุฏ ู„ูุงุช
872
+
873
+ 219
874
+ 00:15:49,590 --> 00:15:54,950
875
+ ู…ุฌู…ูˆุนู‡ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ู…ุฌู…ูˆุนู‡ ูŠุณุงูˆูŠ ุงู„ูˆุงุญุฏ ุทูŠุจ ุฃูˆู„
876
+
877
+ 220
878
+ 00:15:54,950 --> 00:15:59,270
879
+ ุดุบู„ุฉ ู„ุงุฒู… ู†ุงุฎุฏ ุจุงู„ู†ุง ู…ู†ู‡ุงุงู„ู€ Theorem ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ุง
880
+
881
+ 221
882
+ 00:15:59,270 --> 00:16:01,430
883
+ ุงู† ุงู„ู€ greatest common divisor between them ู„ุงุฒู…
884
+
885
+ 222
886
+ 00:16:01,430 --> 00:16:05,510
887
+ ูŠูƒูˆู† ุจูŠุณุงูˆูŠ ูˆุงุญุฏ okay ุนุดุงู† ู†ู‚ูˆู„ ูˆุงู„ู„ู‡ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ
888
+
889
+ 223
890
+ 00:16:05,510 --> 00:16:08,890
891
+ ุจุฏู†ุง ู†ุนู…ู„ู‡ุง ูƒ analysis okay ุงู†ุช ู…ู…ูƒู† ุชูƒูˆู† ุถุงู…ู†
892
+
893
+ 224
894
+ 00:16:08,890 --> 00:16:11,950
895
+ exactly ุงู† ู‡ูŠ ุจุชุณุงูˆูŠ ูˆุงุญุฏ ู„ูƒู† ุงู„ analysis ุฏู‡ ู‡ูŠุณู‡ู„
896
+
897
+ 225
898
+ 00:16:11,950 --> 00:16:16,290
899
+ ุนู„ูŠูƒ ุงู„ุขู† ููŠ ุฅูŠุฌุงุฏ ุงู„ ุฅูŠู‡ ููŠ ุฅูŠุฌุงุฏ ุงู„ ุฅูŠู‡ ุฎู„ูŠู†ูŠ
900
+
901
+ 226
902
+ 00:16:16,290 --> 00:16:22,950
903
+ ุฃุดูˆู ุงู„ 4620 ุจู†ุฌุณู…ู‡ุง ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ 101 ุจุทู„ุน ุนู†ุฏูŠ
904
+
905
+ 227
906
+ 00:16:22,950 --> 00:16:24,730
907
+ 45101
908
+
909
+ 228
910
+ 00:16:26,390 --> 00:16:31,610
911
+ ุฒุงุฆุฏ ุฎู…ุณุฉ ูˆุณุจุนูŠู† ูƒ reminder ุทูŠุจ ุงู„ู…ูŠุฉ ูˆ ูˆุงุญุฏ ุงูƒู…
912
+
913
+ 229
914
+ 00:16:31,610 --> 00:16:36,370
915
+ reminder ููŠู‡ุงุŸ reminder ูˆุงุญุฏ ูˆ ุจูŠุฒูŠุฏ ุณุชุฉ ูˆ ุนุดุฑูŠู†
916
+
917
+ 230
918
+ 00:16:36,370 --> 00:16:43,270
919
+ ุทูŠุจ ุจุฑุถู‡ ุงู„ ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ูƒ quotient ู„ ุงู„ุฎุท ู‡ุฐุง ุงูƒู…
920
+
921
+ 231
922
+ 00:16:43,270 --> 00:16:48,350
923
+ reminder ููŠู‡ุŸ ุงู„ two reminders ุฒุงุฆุฏ ุชู„ุชุฉ ูˆ ุนุดุฑูŠู†
924
+
925
+ 232
926
+ 00:16:48,350 --> 00:16:54,000
927
+ ู†ูุณ ุงู„ุฌุซุฉู„ู…ุง ู†ุตู„ ู„ู„ูˆุงุญุฏ ููŠ ุงู„ุขุฎุฑ ูˆุตู„ู†ุง ู„ู„ูˆุงุญุฏ
928
+
929
+ 233
930
+ 00:16:54,000 --> 00:16:56,280
931
+ ุถู…ู†ู†ุง ูุนู„ุง ุงู† ุงู„ greatest common divisor between
932
+
933
+ 234
934
+ 00:16:56,280 --> 00:17:01,980
935
+ them ุจุงู„ุฐุงุช ุจุชุณุงูˆูŠ ูˆุงุญุฏ ู…ุงุตูุฑุชุด ุงุญู†ุง ู‚ู„ู†ุง ุงู„
936
+
937
+ 235
938
+ 00:17:01,980 --> 00:17:03,940
939
+ greatest common divisor ูƒู†ุง ู†ุฌูŠุจู‡ุง ุงุฐุง ูƒุงู†ุช ุตูุฑุช
940
+
941
+ 236
942
+ 00:17:03,940 --> 00:17:07,200
943
+ ู…ุนู†ุงุชู‡ ููŠ ุงู„ุขุฎุฑ ู‡ูŠูƒุจุฑ ุงู„ู‚ุณู… ุนู„ู‰ ุจุนุถ ู‡ู†ุง ูˆุงุญุฏ
944
+
945
+ 237
946
+ 00:17:07,200 --> 00:17:12,820
947
+ ู…ุนู†ุงุชู‡ ูุนู„ูŠุง relatively prime ู‡ูˆ ู…ุงููŠุด ุงุตู„ุง ุนุงู…ู„
948
+
949
+ 238
950
+ 00:17:12,820 --> 00:17:16,060
951
+ ู…ุดุชุฑูƒ ุจูŠู†ู‡ู… ู…ุงููŠุด ุงุตู„ุง ุนุงู…ู„ ู…ุดุชุฑูƒ ุจูŠู†ู‡ู… ุทูŠุจ ู…ู† ู‡ู†ุง
952
+
953
+ 239
954
+ 00:17:16,060 --> 00:17:22,000
955
+ ุจู†ุฑุฌุน ุงุฑุฌูˆุนู„ุงุญุธ ุฅู†ู‡ ู„ูˆ ุฃุฑุฌุน ู†ุฑุฌูˆุน ุจุญูŠุซ ุฅู† ุฃุตู„ ู…ู†
956
+
957
+ 240
958
+ 00:17:22,000 --> 00:17:26,900
959
+ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ุจุฏุฃู†ุง ููŠู‡ ู‡ู†ุง ุจุฏูŠ ุฃุฑุฌุน ุฃุฑุฌูˆุน ุนุดุงู† ุฃุตู„
960
+
961
+ 241
962
+ 00:17:26,900 --> 00:17:31,020
963
+ ู„ู„ุฑู‚ู…ูŠู† ุงู„ู„ูŠ ุจุฏูŠู‡ู… ุฃุญุงูˆู„ ุฃุญู‚ู‚ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู„ุงุญุธ ุดูˆู
964
+
965
+ 242
966
+ 00:17:31,020 --> 00:17:40,260
967
+ ุฅูŠุด ุฑุญ ู†ุนู…ู„ู‡ ุขุฎุฑ ูˆุงุญุฏ as a remainder ู‡ูŠู‡ุง ุจุงุฎุฏู‡ุง
968
+
969
+ 243
970
+ 00:17:40,260 --> 00:17:44,520
971
+ ู‡ู†ุง ูˆ ุจุจุฏุฃ ู…ู†ู‡ุง ุงู„ูˆุงุญุฏ ุจุญุทู‡ ุนู„ู‰ ุฌู†ุจ ู„ุฅู† ุฃู†ุง ู…ุญุชุงุฌ
972
+
973
+ 244
974
+ 00:17:44,520 --> 00:17:49,550
975
+ ุงู„ูˆุงุญุฏ ุนู„ู‰ ุฌู†ุจ ู‡ู†ุง ู‡ูŠ ู„ุงุญุธุชู‡ุŸู…ู…ุชุงุฒ ุทูŠุจ ู…ุฏุงู… ุญุทูŠู†ุง
976
+
977
+ 245
978
+ 00:17:49,550 --> 00:17:53,310
979
+ ุงู„ูˆุงุญุฏ ุนู„ู‰ ุฌุงู†ุจ ุงู†ุง ุถุงู…ู† ุชู…ุงู…ุง ุงุฐุง ุงุชุฒู…ุช ุจู†ูุณ
980
+
981
+ 246
982
+ 00:17:53,310 --> 00:17:58,710
983
+ ุงู„ู…ูƒูˆู†ุงุช ุงู„ู„ูŠ ู‡ู†ุง ููŠ ุชู‚ูŠูŠู… ูƒู„ ุฑู‚ู… ู…ู† ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ
984
+
985
+ 247
986
+ 00:17:58,710 --> 00:18:06,070
987
+ ู‡ู†ุง ุญุตู„ ููŠ ุงู„ุขุฎุฑ ู„ู†ูุณ ุงู„ุฑู‚ุงู…ูŠู† ุงู„ 4620 ูˆุงู„ 101 ู„ุฃู†
988
+
989
+ 248
990
+ 00:18:06,070 --> 00:18:10,130
991
+ ุฃุตู„ุง ูƒู„ู‡ู… ู…ุดุชู‚ูŠู† ู…ู† ุจุนุถ ูุงู„ูˆุงุญุฏ ู‡ุฐู‡ ุฅูŠุฌุชู†ูŠ ุฃุตู„ุง ู…ู†
992
+
993
+ 249
994
+ 00:18:11,570 --> 00:18:15,110
995
+ ู…ู† ู…ุฑุญู„ุฉ ุณุงุจู‚ุฉ ูˆ ู‡ูƒุฐุง ุทูŠุจ ุงู„ุชู„ุงุชุฉ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ููŠ
996
+
997
+ 250
998
+ 00:18:15,110 --> 00:18:17,210
999
+ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูˆุงู„ุงุชู†ูŠู† ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูˆ
1000
+
1001
+ 251
1002
+ 00:18:17,210 --> 00:18:21,230
1003
+ ู‡ูƒุฐุง ุทูŠุจ ูƒูŠู ู‡ู†ุนู…ู„ ูƒู„ุงู… ู‡ุฐุง ุจุฏู‡ ุจุณ ุตุญ ุตุญ ููŠ
1004
+
1005
+ 252
1006
+ 00:18:21,230 --> 00:18:25,710
1007
+ ุงู„ุงู…ุชุญุงู† ู…ุดูƒู„ุชู‡ ุงู„ูˆุญูŠุฏุฉ ุฃู†ูƒ ุงู†ุช ุจุณ ุชูƒูˆู† ู…ุฑูƒุฒ ุชูƒูˆู†
1008
+
1009
+ 253
1010
+ 00:18:25,710 --> 00:18:31,070
1011
+ ู‡ุงุฏูŠ ุชูƒูˆู† ุฑุงูŠูƒ ููŠ ุงู„ุงู…ุชุญุงู† ุฃุณุฆู„ุฉ ุฒูŠ ู‡ุฐู‡ ุจุชูƒูˆู†
1012
+
1013
+ 254
1014
+ 00:18:31,070 --> 00:18:35,070
1015
+ ู…ุถู…ูˆู†ุฉ ุฃู…ุง ุฅุฐุง ุงุชูˆุชุฑุช ุฑู‚ู… ุจุบู„ุท ุจุบู„ุท ู…ุน ูƒู„ ุงู„ุดุบู„
1016
+
1017
+ 255
1018
+ 00:18:35,070 --> 00:18:40,930
1019
+ ู‡ุชู†ุดูˆู ูƒูŠูู‡ู†ุง ู…ู† ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูŠ ุฃุฎุฏู†ุง ุงู„ูˆุงุญุฏ ุนู„ู‰
1020
+
1021
+ 256
1022
+ 00:18:40,930 --> 00:18:44,810
1023
+ ุทุฑู ู„ุญุงู„ู‡ ูุจุชุตูŠุฑ ุงุด ุชู„ุงุชุฉ ู†ุงู‚ุต ูˆุงุญุฏ ููŠ ุงุชู†ูŠู† ูˆู…ุง
1024
+
1025
+ 257
1026
+ 00:18:44,810 --> 00:18:49,930
1027
+ ุชุญุงูˆู„ุด ุงู‡ู… ุดุบู„ุฉ ู…ุง ุชุญุงูˆู„ุด ุชุถูŠุน ุงู„ุฃุฑู‚ุงู… ุงุด ูŠุนู†ูŠ
1028
+
1029
+ 258
1030
+ 00:18:49,930 --> 00:18:53,810
1031
+ ุงุถูŠุน ุงู„ุฃุฑู‚ุงู… ูŠุนู†ูŠ ุชู‚ูˆู„ ุงุชู†ูŠู† ููŠ ูˆุงุญุฏ ูŠุนู†ูŠ ุงุชู†ูŠู† ู„ุฃ
1032
+
1033
+ 259
1034
+ 00:18:53,810 --> 00:18:58,470
1035
+ ุฎู„ูŠู‡ ุงู„ูˆุงุญุฏ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุญุฏู„ุฃู†ู‡ ุฃุตู„ุง ุฌุงูŠูŠู† ู…ู† ุญุงุฌุฉ
1036
+
1037
+ 260
1038
+ 00:18:58,470 --> 00:19:02,270
1039
+ ุณุงุจู‚ุฉ ูˆุงู„ุงุชู†ูŠู† ุฌุงูŠุงู† ู…ู† ุฅุด ุณุงุจู‚ ูุจุฏู†ุงุด ู†ุฎุฑุจุทู‡ู… ููŠ
1040
+
1041
+ 261
1042
+ 00:19:02,270 --> 00:19:05,690
1043
+ ุจุนุถุŒ ู‡ู†ุดูˆู ู„ูˆุฌุฏ ูƒูŠู ุงู„ุฃู†ุŒ ู‡ุงูŠ ุงู„ุชู„ุงุชุฉ ุฒูŠ ู…ุง ู‡ูŠุŒ
1044
+
1045
+ 262
1046
+ 00:19:05,690 --> 00:19:10,370
1047
+ ุทูŠุจุŒ ุงู„ุงุชู†ูŠู†ุŒ ุงู„ุงุชู†ูŠู† ู‡ุฐู‡ ู…ุง ู‡ูŠ ูƒุงู†ุช remainder ููŠ
1048
+
1049
+ 263
1050
+ 00:19:10,370 --> 00:19:14,550
1051
+ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุงุŒ ูŠุนู†ูŠ ูุนู„ูŠุง ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู† ู‡ูŠ ุชุณูˆู‰ ุชู„ุงุชุฉ
1052
+
1053
+ 264
1054
+ 00:19:14,550 --> 00:19:22,120
1055
+ ูˆุนุดุฑูŠู† ู†ุงู‚ุต ุณุจุนุฉ ููŠ ุชู„ุงุชุฉู„ุฃู†ู‡ ุฃุตู„ุง ุงู„ุนู…ู„ูŠุฉ ู…ุชุณู„ุณู„ุฉ
1056
+
1057
+ 265
1058
+ 00:19:22,120 --> 00:19:25,640
1059
+ ูƒุงู†ุช ู‡ู†ุง ู‡ุชุฌุฏ ุฃู†ู‡ ุฏุงูŠู…ุง ููŠ ุฑู‚ู…ูŠู† ู‡ูŠุชุฌู…ุนูˆุง ู…ุน ุจุนุถ
1060
+
1061
+ 266
1062
+ 00:19:25,640 --> 00:19:32,800
1063
+ ู…ุงุชุฌู…ุนู‡ู… ู…ุด totally ุงุฌู…ุนู‡ู… coefficient ูŠุนู†ูŠ ู‡ุชู„ุงู‚ูŠ
1064
+
1065
+ 267
1066
+ 00:19:32,800 --> 00:19:38,540
1067
+ ู‡ูŠ ููŠ ุงู„ุชู„ุงุชุฉ ูˆู‡ูŠ ููŠ ุชู„ุงุชุฉ ู‡ู†ุง ุงู„ุชู„ุงุชุฉ ู…ุถุฑูˆุจุฉ ููŠ
1068
+
1069
+ 268
1070
+ 00:19:38,540 --> 00:19:42,540
1071
+ ูˆุงุญุฏ ูŠุนู†ูŠ ู…ูƒุฑุฑุฉ ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ู†ุง ู…ูƒุฑุฑุฉ ุณุงู„ุจ ุณุจุนุฉ ููŠ
1072
+
1073
+ 269
1074
+ 00:19:42,540 --> 00:19:46,640
1075
+ ุณุงู„ุจ ุจุชุตูŠุฑ ู…ูˆุฌุฉ ุจุณุจุนุฉ ูุจุชู‚ูˆู„ ู…ูƒุฑุฑุฉ ุชู…ู† ู…ุฑุงุช
1076
+
1077
+ 270
1078
+ 00:19:49,450 --> 00:19:52,870
1079
+ ุฃู…ุง ุงู„ุชู„ุงุชุฉ ุญุงูุธ ุนู„ูŠู‡ุง ู„ุฅูŠุดุŸ ู„ุฃู† ู‡ุฐู‡ ุฑุณู…ุงู„ู†ุง ู‡ู„ูˆุฌุช
1080
+
1081
+ 271
1082
+ 00:19:52,870 --> 00:19:57,030
1083
+ ููŠ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุฃู†ุง ุจุฏุฃ ุฃุฌูŠุจู‡ุง ู…ู† ุงู„ู„ูŠ .. ู…ู† ุงู„ู„ูŠ
1084
+
1085
+ 272
1086
+ 00:19:57,030 --> 00:20:00,530
1087
+ ูƒุงู†ุช ู‚ุจู„ู‡ุง ุชุตูŠุฑ ููŠ ุงู„ู„ูŠ ุจุนุฏู‡ุง ู‡ูŠู‡ุง ูƒุงู†ุช remainder
1088
+
1089
+ 273
1090
+ 00:20:00,530 --> 00:20:06,430
1091
+ ููŠ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูุงู„ุขู† ูƒู„ ุชู„ุงุชุฉ ุจุนูˆุถ ู…ูƒุงู†ู‡ุง ุจ 26 ู†ุงู‚ุต
1092
+
1093
+ 274
1094
+ 00:20:06,430 --> 00:20:12,390
1095
+ 1 ููŠ 23 ุนุฑูุชูˆุง ู„ูŠุดุŸ ุญุชู‰ ู„ูˆ ุฃู†ุช ุนุงุฑู ุฃู† ุงู„ greatest
1096
+
1097
+ 275
1098
+ 00:20:12,390 --> 00:20:15,210
1099
+ common divisor ุจูŠุณูˆูŠ 1 ุจุฏูƒ ุชุนู…ู„ู‡ุง ู„ุฃู† ู‡ุฐู‡ ู‡ูŠ ุงู„ู„ูŠ
1100
+
1101
+ 276
1102
+ 00:20:15,210 --> 00:20:19,380
1103
+ ู‡ุชุณุงุนุฏูƒ ููŠ ุงู„ุฑุฌุนุฉูƒูˆูŠุณ ู‡ูŠ ุฌูŠุจู†ุงู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„
1104
+
1105
+ 277
1106
+ 00:20:19,380 --> 00:20:23,320
1107
+ ูู‡ุชู„ุงู‚ูŠ ุงู† ุงู„ 23 ุจุฑุถู‡ ู‡ุชุฌู…ุน ู…ุน ุชู„ุงุชุฉ ูˆ ุนุดุฑูŠู† ุชุงุฎุฏ
1108
+
1109
+ 278
1110
+ 00:20:23,320 --> 00:20:26,880
1111
+ ุจุงู„ูƒ ุงู† ู‡ู†ุง ููŠ ุณู„ุจ ูˆุงุญุฏ ููŠ ุชู…ุงู†ูŠุฉ ูŠุนู†ูŠ ูุนู„ูŠุง
1112
+
1113
+ 279
1114
+ 00:20:26,880 --> 00:20:32,720
1115
+ ุงู„ุชู„ุงุชุฉ ูˆ ุนุดุฑูŠู† ุงุชูƒุฑุฑุช ุชู…ู† ุณุงู„ุจ ุชู…ุงู† ู…ุฑุงุช ุณุงู„ุจ
1116
+
1117
+ 280
1118
+ 00:20:32,720 --> 00:20:37,540
1119
+ ูˆุงุญุฏ ูƒู…ุงู† ุจุชุตูŠุฑ ุณุงู„ุจ ุชุณุนุฉ ุณุงู„ุจ ุชุณุนุฉ ุนู„ู‰ ุทูˆู„ ุงู„ุฑู‚ู…
1120
+
1121
+ 281
1122
+ 00:20:37,540 --> 00:20:41,340
1123
+ ู‡ุฐุง ู…ู† ุบูŠุฑ ู…ุง ุงูƒูŠุฏ ู‡ูˆ ุงู„ reminder ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ุงู‡
1124
+
1125
+ 282
1126
+ 00:20:41,340 --> 00:20:48,520
1127
+ ุตุญูŠุญุจุฏูƒ ุชุนูˆุถ ุจู…ูƒุงู†ู‡ ุงู„ู„ูŠ ู‡ูˆ ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ู†ุงู‚ุต
1128
+
1129
+ 283
1130
+ 00:20:48,520 --> 00:20:53,660
1131
+ ุงุชู†ูŠู† ููŠ ุณุชุฉ ูˆ ุนุดุฑูŠู† ุงูŠู‡
1132
+
1133
+ 284
1134
+ 00:20:53,660 --> 00:20:57,680
1135
+ ุงู„ุงู† ู‡ุชู„ุงู‚ูŠ ุงู„ุณุชุฉ ูˆ ุนุดุฑูŠู† ู…ุน ุงู„ุณุชุฉ ูˆ ุนุดุฑูŠู† ู…ู†
1136
+
1137
+ 285
1138
+ 00:20:57,680 --> 00:21:00,580
1139
+ ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ุฏุงูŠู…ุง ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ุจุชุฎุฑุจุท ู…ุนุงูƒู…
1140
+
1141
+ 286
1142
+ 00:21:00,580 --> 00:21:06,980
1143
+ ุชุงุฎุฏูˆุง ุจุงู„ูƒู… ุงู† ููŠ ุงู„ุฃู‚ูˆุงุต ููŠ ุฑู‚ู… ุฎุงุฑุฌ ุงู„ู‚ูˆุณ ููŠ
1144
+
1145
+ 287
1146
+ 00:21:06,980 --> 00:21:11,760
1147
+ ุฑู‚ู… ุฎุงุฑุฌ ุงู„ู‚ูˆุณ ู…ุง ุชู†ุณูˆุด ุชุถุฑุจูˆู‡ ููŠ ุงู„ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ู†ุง
1148
+
1149
+ 288
1150
+ 00:21:11,760 --> 00:21:20,250
1151
+ ุจูŠุตูŠุฑ ู…ูˆุฌุฉ ุจ18ุฒุงุฆุฏ ุชู…ุงู†ูŠุฉ ุณุชุฉ ูˆ ุฃุดุฑูŠู† ุทูŠุจ
1152
+
1153
+ 289
1154
+ 00:21:20,250 --> 00:21:26,410
1155
+ ุงู„ุณุชุฉ ูˆ ุฃุดุฑูŠู† ุฃูŠ ู†ุนู… ุจุฑุถู‡ ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุฃุฎุฏู†ุง
1156
+
1157
+ 290
1158
+ 00:21:26,410 --> 00:21:30,790
1159
+ ุงู„ูƒู„ุงู… ู‡ุฐุง ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุฃุฎุฏู†ุงู‡ุง ุชู…ุงู… ูู‡ุชู„ุงู‚ูŠ
1160
+
1161
+ 291
1162
+ 00:21:30,790 --> 00:21:35,150
1163
+ ุจุฑุถู‡ ุฎู…ุณุฉ ูˆ ุณุจุนูŠู† ูˆู‡ูŠ ุจุฑุถู‡ ุฎู…ุณุฉ ูˆ ุณุจุนูŠู†ุฎุฏ ุจุงู„ูƒ ู…ู†
1164
+
1165
+ 292
1166
+ 00:21:35,150 --> 00:21:38,570
1167
+ ุงู„ู€ 26 ุงู„ู„ูŠ ุจุฑุง ุฏู‡ ุฎุงุฑุฌ ุงู„ู‚ูˆุณ 26 ููŠ ุณุงู„ุจ ูˆุงุญุฏ
1168
+
1169
+ 293
1170
+ 00:21:38,570 --> 00:21:47,350
1171
+ ูุณุงู„ุจ 26 ุณุงู„ุจ 26 ุณุงู„ุจ 9 ุณุงู„ุจ 35 ูƒูˆูŠุณ ู‡ู†ุง ุงู„ู€ 75
1172
+
1173
+ 294
1174
+ 00:21:47,350 --> 00:21:53,910
1175
+ ู‡ูŠู† ุฃูˆุตู„ู†ุงู‡ู… ุฌุฑุจู†ุง ุตูู†ุงู‡ู…
1176
+
1177
+ 295
1178
+ 00:21:53,910 --> 00:21:57,290
1179
+ ุชุนุงู„ู‰ ุชุทู„ุน ุนู„ู‰ ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ุจุฏุฃู†ุง ููŠู‡ ุฅูŠุด ุทู„ุน ุจุณุงูˆูŠ
1180
+
1181
+ 296
1182
+ 00:21:57,290 --> 00:21:59,990
1183
+ ู‡ุงูŠ ุงู„ M ูˆู‡ูŠ ุงู„ A
1184
+
1185
+ 297
1186
+ 00:22:02,950 --> 00:22:07,370
1187
+ Automatically ู…ุนู†ุงุชู‡ ุฏู‡ ู‡ูˆ ู‚ูŠู…ุฉ ุงู„ุงู†ูุฑุณ ู„ุฅู†ู‡ ุญู‚ู‚ู„ูƒ
1188
+
1189
+ 298
1190
+ 00:22:07,370 --> 00:22:14,410
1191
+ ุงู„ู…ุนุงุฏู„ุฉ ูˆ ุงุญู†ุง ุถู…ู†ูŠู† ุงู†ู‡ unique ุงูˆ ุงู„ greatest
1192
+
1193
+ 299
1194
+ 00:22:14,410 --> 00:22:20,790
1195
+ common divisor unique ุจูŠู† ุงู„ 101 ูˆุงู„ 4620 ุทูŠุจ ุงู„
1196
+
1197
+ 300
1198
+ 00:22:20,790 --> 00:22:26,430
1199
+ 1601 ู‡ุฐู‡ ู‡ูŠ inverse ู„ 101 ููŠ ุงู„ู„ูุฉ ุฌุฏุงุดุŸ ููŠ ุงู„ู„ูุฉ
1200
+
1201
+ 301
1202
+ 00:22:26,430 --> 00:22:31,850
1203
+ 35 ุนูƒุณ ุนู„ู‰ ุฌุฑุจ ุงู„ุณุงุนุฉููŠ ุงู„ู„ูุฉ 35 ุนูƒุณ ุนู‚ุงุฑ ุจุงู„ุณุงุนุฉ
1204
+
1205
+ 302
1206
+ 00:22:31,850 --> 00:22:37,850
1207
+ ุงู„ุงู† ุงู†ุช ู…ุด ุนุงุฌุจูƒ ุงู„ุฑู‚ู… ุชู‚ุฏุฑ ุชุนุฏู„ ููŠู‡ ุชู‚ุฏุฑ ุชุนุฏู„
1208
+
1209
+ 303
1210
+ 00:22:37,850 --> 00:22:40,450
1211
+ ููŠู‡ ุงุฐุง ู„ุงุฌูŠุชู‡ ู…ุซู„ุง ุจุงู„ุณุงู„ุจ ุงูˆูƒูŠ ุงุถูู„ู‡ ู‚ูŠู…ุฉ ุงู„ M
1212
+
1213
+ 304
1214
+ 00:22:40,450 --> 00:22:44,710
1215
+ ุจุตูŠุฑ ุจุงู„ู…ูˆุฌุฉ ู…ุง ุงุญู†ุง ู‚ู„ู†ุงู‡ ู‡ูˆ congruent ู„ู…ุฌู…ูˆุนุฉ
1216
+
1217
+ 305
1218
+ 00:22:44,710 --> 00:22:48,250
1219
+ ุงุฑู‚ุงู… ุชุงู†ูŠุฉ ู„ู…ุฌู…ูˆุนุฉ ุงุฑู‚ุงู… ุชุงู†ูŠุฉ ุญุทู‡ ุฏุงูŠู…ุง ุจุฃุจุณุท
1220
+
1221
+ 306
1222
+ 00:22:48,250 --> 00:22:52,290
1223
+ ุตูˆุฑุฉ ู…ู…ูƒู†ุฉ ุงูŠุด ุฃุจุณุท ุตูˆุฑุฉ ู…ู…ูƒู†ุฉ ุงู†ู‡ ูŠูƒูˆู† ุงู‚ู„ ุงุตู„ุง
1224
+
1225
+ 307
1226
+ 00:22:52,290 --> 00:22:56,300
1227
+ ู…ู† ุงู„ modulusูู…ุฏุงู… ุฌุงูŠู†ุง ู‡ูˆ ู„ุญุงู„ู‡ ุฌุงูŠ ุฃู‚ู„ ู…ู†
1228
+
1229
+ 308
1230
+ 00:22:56,300 --> 00:23:02,780
1231
+ ุงู„ู…ุฏู„ุต ูุงู†ุช ุถุงู…ู† ุงู† ู‡ูˆ ุถู…ู† ุฃูˆู„ ู„ูุฉ ูƒุฑู‚ู… ู‚ูŠู…ุชู‡ ุฃู‚ู„
1232
+
1233
+ 309
1234
+ 00:23:02,780 --> 00:23:07,140
1235
+ ู…ู† ุงู„ู…ุฏู„ุต ุฎู„ุงุต ูุฅุฐุง ุจู‚ูˆู„ ุงู† ู‡ูˆ ู‡ุฐุง ุงู„ inverse ู„
1236
+
1237
+ 310
1238
+ 00:23:07,140 --> 00:23:14,960
1239
+ 101 modulo 4620 ู‡ู†ุญุชุงุฌ ุงู„ูƒู„ุงู… ุฏู‡ ููŠ ุฅูŠุดุŸ ู‡ู†ุญุชุงุฌู‡
1240
+
1241
+ 311
1242
+ 00:23:14,960 --> 00:23:19,520
1243
+ ูƒุชูŠุฑ ู‡ูŠุฌูŠู†ุง ุงู„ encryption ู‡ู†ุดูˆู ููŠ ุฅูŠุด ุจุฏู†ุง
1244
+
1245
+ 312
1246
+ 00:23:19,520 --> 00:23:24,640
1247
+ ู†ุณุชุฎุฏู…ู‡ุงู„ูƒูˆูŠุณ .. ุงู„ูƒูˆูŠุณ ุงู†ู‡ ู‡ู†ุฒู„ูƒูˆุง ุฃู†ุง ูˆุงุฌุจุงุช
1248
+
1249
+ 313
1250
+ 00:23:24,640 --> 00:23:26,940
1251
+ ุนู„ูŠู‡ุง ุฏู‡ ู„ุฃู†ู‡ ู„ุงุฒู… ุชุชุฏุฑุจูˆุง ุนู„ูŠู‡ุง ุฏู‡ ุงูŠู‡ ุชูƒูˆู†ูˆุง
1252
+
1253
+ 314
1254
+ 00:23:26,940 --> 00:23:29,460
1255
+ ุชุงุฎุฏูˆุง ุนู„ูŠู‡ุง ุงูŠู‡ ุชูƒูˆู†ูˆุง ุชุงุฎุฏูˆุง ุนู„ูŠู‡ุง ูˆ ุชุจู‚ูˆุง
1256
+
1257
+ 315
1258
+ 00:23:29,460 --> 00:23:34,240
1259
+ ู…ุฑูƒุฒูŠู† ููŠ ุงู„ุดุบู„ ุชุจุนู‡ุง ุฑุบู… ุงู† ู‡ูˆ ู†ุธุฑูŠุง ุจุณูŠุท ู„ูƒู† ุนู†ุฏ
1260
+
1261
+ 316
1262
+ 00:23:34,240 --> 00:23:43,400
1263
+ ุงู„ุชู†ููŠุฐ ุงู„ุฃุฑู‚ุงู… ูƒุชูŠุฑุฉ ุจุฏู‡ ุชุฑูƒูŠุฒ ุงูˆู‡
1264
+
1265
+ 317
1266
+ 00:23:43,400 --> 00:23:47,280
1267
+ ูƒูˆูŠุณ ุทูŠุจ ุงู„ุงู† ููŠ ุงูŠุด ุจุณุชุฎุฏู… ุนู…ู„ูŠุฉ ุงู„ inverse ุงู„ู„ูŠ
1268
+
1269
+ 318
1270
+ 00:23:47,280 --> 00:23:53,550
1271
+ ุงู†ุง ุฌุจุชู‡ุง ุฒูŠ ุชูˆูŠ ุงุญู†ุง ุชูˆูŠ ู‚ูˆู„ู†ุง ุชู„ุงุชุฉู…ุฏู„ู‡ ุณุจุนุฉ ูƒุงู†
1272
+
1273
+ 319
1274
+ 00:23:53,550 --> 00:23:59,010
1275
+ ุงู„ inverse ู„ุชุฉ ู„ุง ุชุงุฆุด ุจู‚ุฏุงุด ุณุงู„ุจ ุงุชู†ูŠู† ูƒุงู†ุช ุจุชุณูˆูŠ
1276
+
1277
+ 320
1278
+ 00:23:59,010 --> 00:24:01,890
1279
+ ุณุงู„ุจ ุงุชู†ูŠู† ู‡ุชูŠุฌูŠ ุชู‚ูˆู„ ุทุจ ู…ุง ู‡ู… ู…ุถุฑูˆู…ูŠู† ููŠ ุจุนุถ ูˆุทู„ุน
1280
+
1281
+ 321
1282
+ 00:24:01,890 --> 00:24:07,750
1283
+ ุณุงู„ุจ ุณุชุฉ ุทุจ ู…ุง ุงู„ุณุงู„ุจ ุณุชุฉ ูŠุนู†ูŠ ุณุจุนุฉ ูŠุนู†ูŠ ุนููˆุง ุงู†
1284
+
1285
+ 322
1286
+ 00:24:07,750 --> 00:24:13,830
1287
+ ูˆุงุญุฏ ุจุงู„ุณุงู„ุจ ุงู‡ ุจุณ ุงุชุฌุงู‡ู‡ ุจุงู„ุนูƒุณ ุงุชุฌุงู‡ู‡ ุนูƒุณูŠ ุชู…ุงู…
1288
+
1289
+ 323
1290
+ 00:24:13,830 --> 00:24:17,890
1291
+ ูุณุงู„ุจ ูˆุงุญุฏ ุณุงู„ุจ ุณุชุฉ ู‡ุฐู‡ ู‡ูŠ ูุนู„ูŠุง ุชูƒุงูุฆ ูˆุงุญุฏ ู‡ูŠ
1292
+
1293
+ 324
1294
+ 00:24:17,890 --> 00:24:24,140
1295
+ ูุนู„ูŠุง ุชูƒุงูุฆ ูˆุงุญุฏ ุทูŠุจุจู†ุถุฑุจู‡ุง ููŠ ุงู„ุทุฑููŠู† ู„ู…ุนุงุฏู„ุฉ
1296
+
1297
+ 325
1298
+ 00:24:24,140 --> 00:24:30,280
1299
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุชู„ุงุชุฉ X ุชุณุงูˆูŠ ุฃุฑุจุนุฉ ู…ุฏู„ู‡ ุณุจุนุฉ ูุงู†ุง ุนุงุฑู
1300
+
1301
+ 326
1302
+ 00:24:30,280 --> 00:24:32,820
1303
+ ุงู†ู‡ ุจุฏูŠ ุฃุฌูŠุจ ุงู„ inverse ู„ุชู„ุงุชุฉ ู…ุฏู„ู‡ ุณุจุนุฉ ุงุญู†ุง
1304
+
1305
+ 327
1306
+ 00:24:32,820 --> 00:24:37,040
1307
+ ุฌุงูŠุจูŠู†ู‡ุง ู…ุณุจู‚ุง ู‡ูŠ ุณุงู„ุจ ุงุชู†ูŠู† ูุงุฐุง ุจุถุฑุจ ุงู„ุทุฑููŠู† ููŠ
1308
+
1309
+ 328
1310
+ 00:24:37,040 --> 00:24:42,760
1311
+ ุณุงู„ุจ ุงุชู†ูŠู† minus two ุฎู„ุงุต ู‡ุฐู‡ ูˆุงุญุฏ ุถู…ู†ู†ุง ุงู†ู‡ ุฑุงุญ
1312
+
1313
+ 329
1314
+ 00:24:42,760 --> 00:24:47,220
1315
+ ุงุชุฎู„ุตู†ุง ู X ุจุชุณุงูˆูŠ ุณุงู„ุจ ุชู…ุงู†ูŠุฉ X ููŠ ุงู„ุญุงู„ุฉ ุจุชุณุงูˆูŠ
1316
+
1317
+ 330
1318
+ 00:24:47,220 --> 00:24:53,180
1319
+ ุณุงู„ุจ ุชู…ุงู†ูŠุฉ ู…ู…ูƒู† ุชุฌู…ุน ุนู„ูŠู‡ุง ุณุจุนุฉุนุดุงู† ุชุฌูŠุจู‡ุง ู‚ูŠู…ุฉ
1320
+
1321
+ 331
1322
+ 00:24:53,180 --> 00:24:56,900
1323
+ ู…ูˆุฌุฉ ุจู‚ู‰ ุฅุฐุง ู…ุด ุนุงุฌุจูƒ ุงู„ู‚ูŠู… ุงู„ุณุงู„ุจุฉ ุงู„ู…ู‡ู… ุฃู†ูƒ ุชุถูŠู
1324
+
1325
+ 332
1326
+ 00:24:56,900 --> 00:25:00,680
1327
+ ุนู„ูŠู‡ู… ุณุจุนุช ุชุถูŠู ุนู„ูŠู‡ุง ุณุจุนุฉ ู„ู…ุง ูŠุฌูŠู„ูƒ ุฑู‚ู… ุงูŠุด ุฃุฌุฑุจ
1328
+
1329
+ 333
1330
+ 00:25:00,680 --> 00:25:04,840
1331
+ ุฑู‚ู… ูƒุงู† ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ ุนุดุฑ ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ ูŠุนู†ูŠ ุณุจุนุฉ ูˆ
1332
+
1333
+ 334
1334
+ 00:25:04,840 --> 00:25:08,720
1335
+ ุณุจุนุฉ ู…ุด ู‡ูŠูƒ ุจุทู„ุน ุณุชุฉ ุนู„ู‰ ุณุฑุฏ ุณุชุฉ ูˆ ุชู…ุงู†ูŠุฉ ู‡ูŠุณ
1336
+
1337
+ 335
1338
+ 00:25:08,720 --> 00:25:13,220
1339
+ ุงู„ุงุฑุจุนุฉ ุนุดุฑ ูŠุนู†ูŠ ุงู†ุช ุจุชุนู…ู„ ู„ูุชูŠู† okay ุงู„ุณุชุฉ ู…ู†ุงุณุจุฉ
1340
+
1341
+ 336
1342
+ 00:25:13,220 --> 00:25:16,280
1343
+ ู„ูƒ ุฎู„ุงุต ุฃู‚ูˆู„ ุฅู† ู‚ูŠู…ุชู‡ุง ุจุชุณูˆูŠ ุณุชุฉ ู X ู‡ู†ุง ู‚ูŠู…ุชู‡ุง
1344
+
1345
+ 337
1346
+ 00:25:16,280 --> 00:25:22,750
1347
+ ู…ู†ุงุณุจุฉ ุฃู†ู‡ุง ุชูƒูˆู† ุจุชุณูˆูŠ ุณุชุฉ ุนุดุงู† ุชุญู„ ุงู„ุณุคุงู„ ู‡ุฐุงุชู…ุงู…
1348
+
1349
+ 338
1350
+ 00:25:22,750 --> 00:25:29,290
1351
+ ุงู„ุขู† ุงู„ pseudo random ู‡ุฐู‡ ุงู„ ุงู„ pseudo prime ุฒูŠ ู…ุง
1352
+
1353
+ 339
1354
+ 00:25:29,290 --> 00:25:32,030
1355
+ ุฃุฎุฏู†ุง ุงู„ pseudo random ุงู„ุขู† ููŠ ุงู„ pseudo prime ุงู„
1356
+
1357
+ 340
1358
+ 00:25:32,030 --> 00:25:36,850
1359
+ pseudo prime ุฅุฌุช ู…ู† ู†ุธุฑูŠุฉ ุตูŠู†ูŠุฉ ู‚ุฏูŠู…ุฉ ูƒุงู†ูˆุง
1360
+
1361
+ 341
1362
+ 00:25:36,850 --> 00:25:42,650
1363
+ ุจูŠู‚ูˆู„ูˆุง ุฅุฐุง ูƒุงู† ุงู„ n prime ูู…ุนู†ู‰ ุฐู„ูƒ ู„ุงุฒู… ูŠุชุญู‚ู‚ ุฃู†
1364
+
1365
+ 342
1366
+ 00:25:42,650 --> 00:25:46,590
1367
+ ุงุชู†ูŠู† to the power ู„ prime ู‡ุฐุง ู†ุงู‚ุต ูˆุงุญุฏู‡ูŠ
1368
+
1369
+ 343
1370
+ 00:25:46,590 --> 00:25:53,790
1371
+ congruent ู„ู„ูˆุงุญุฏ ู…ุฏู„ู‡ ุงู„ prime ู…ุฏู„ู‡ ุงู„ prime ูƒูˆูŠุณ
1372
+
1373
+ 344
1374
+ 00:25:53,790 --> 00:25:58,390
1375
+ ูˆ ุฃูŠุงู…ู‡ุง ุงู„ุตูŠู†ูŠูŠู† ุงุชุฏุนูˆุง ุงู„ุนู„ู…ุงุก ุงู„ุตูŠู†ูŠูŠู† ุงุชุฏุนูˆุง
1376
+
1377
+ 345
1378
+ 00:25:58,390 --> 00:26:03,530
1379
+ ุงู†ู‡ ุงู„ุนูƒุณ ุตุญูŠุญ ุงูŠุด ูŠุนู†ูŠ ุงู„ุนูƒุณ ุงู„ุตุญูŠุญ ุงู†ู‡ ู„ูˆ ุชุญู‚ู‚
1380
+
1381
+ 346
1382
+ 00:26:03,530 --> 00:26:07,810
1383
+ ู„ุฃูŠ ุฑู‚ู… ุงู†ู‡ ุงุชู†ูŠู† to the power ุงู„ุฑู‚ู… ู†ุงู‚ุต ูˆุงุญุฏ
1384
+
1385
+ 347
1386
+ 00:26:07,810 --> 00:26:14,450
1387
+ congruent ู„ู„ูˆุงุญุฏ ุจุงุณุชุฎุฏุงู… ุงู„ู…ุฏู„ู‡ ู„ู„ุฑู‚ู… ู†ูุณู‡ ู…ุนู†ุงู‡
1388
+
1389
+ 348
1390
+ 00:26:14,450 --> 00:26:20,030
1391
+ ุฐู„ูƒ ุงู† ุงู„ุฑู‚ู… primeุจุงู„ุธุจุท ู„ุฃ ู‡ูŠ ูุนู„ูŠุง ุทู„ุนุช if then
1392
+
1393
+ 349
1394
+ 00:26:20,030 --> 00:26:25,190
1395
+ ู…ุด if and only if ูู…ุน ุงู„ุฒู…ู† ุงุฏุนุงุฆู‡ู… ู‡ุฐุง ุงู† ุงู„
1396
+
1397
+ 350
1398
+ 00:26:25,190 --> 00:26:30,670
1399
+ converse true ุทู„ุน ู…ุด ุตุญูŠุญ ู„ูƒู† ุทู„ุนูˆุง ุจุญุงุฌุฉ ูƒูˆูŠุณุฉ
1400
+
1401
+ 351
1402
+ 00:26:30,670 --> 00:26:36,670
1403
+ ุฌุฏุง ุงู†ู‡ ุงุฐุง ุชุญู‚ู‚ ู‡ุฐุง ุงู„ูƒู„ุงู… ูุนู„ูŠุง ููƒู„ in ู‡ู†ุง okay
1404
+
1405
+ 352
1406
+ 00:26:36,670 --> 00:26:41,110
1407
+ ู‡ูŠ ู…ุด prime ู„ูƒู† ุจู‚ุฏุฑ ุงุญูƒู… ุนู„ู‰ ุงู† ู‡ูŠ pseudo prime
1408
+
1409
+ 353
1410
+ 00:26:41,110 --> 00:26:46,370
1411
+ ุดุจูŠู‡ุฉ ุจุงู„primesุฅูŠุด ูŠุนู†ูŠ ุดุจูŠู‡ุฉ ุจู€primesุŸ ูŠุนู†ูŠ ู‡ูŠ
1412
+
1413
+ 354
1414
+ 00:26:46,370 --> 00:26:53,170
1415
+ ูุนู„ูŠู‹ุง ุนุจุงุฑุฉ ุนู† ุถุฑุจ two primes ูุจุนุถ ุจุณ ูˆ ุจุฏูˆู† P to
1416
+
1417
+ 355
1418
+ 00:26:53,170 --> 00:26:56,930
1419
+ the power ูƒุฐุง ู„ุฃ ู‡ูŠ two primes ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ูŠูƒูŠ ุงู„
1420
+
1421
+ 356
1422
+ 00:26:56,930 --> 00:27:00,210
1423
+ prime ูˆ ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ูƒุจุงุฑ ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ
1424
+
1425
+ 357
1426
+ 00:27:00,210 --> 00:27:07,770
1427
+ ูุนุจุงุฑุฉ ุนู† P ููŠ Q ุจุณ ูˆ ุงู„ two primes ุงู„ two numbers
1428
+
1429
+ 358
1430
+ 00:27:07,770 --> 00:27:12,890
1431
+ ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† primes ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ if ุจู‚ุฏุฑ ุฃู‚ูˆู„
1432
+
1433
+ 359
1434
+ 00:27:12,890 --> 00:27:13,330
1435
+ ุนู†ู‡ุง
1436
+
1437
+ 360
1438
+ 00:27:16,160 --> 00:27:21,660
1439
+ pseudoprime ุดุจูŠู‡ุฉ ุจุงู„ู€ prime ุดุจูŠู‡ุฉ ุจุงู„ู€ prime ูƒูˆูŠุณ
1440
+
1441
+ 361
1442
+ 00:27:21,660 --> 00:27:25,700
1443
+ ุทูŠุจ ุงู„ุดุจูŠู‡ุงุช ุจุงู„ู€ prime ู‡ุฐู‡ ุทู„ุนุช ู…ุด ูƒู„ ุงู„ุฃุฑู‚ุงู…
1444
+
1445
+ 362
1446
+ 00:27:25,700 --> 00:27:30,200
1447
+ ู…ู…ูƒู† ุชุญู‚ู‚ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ูŠุนู†ูŠ ุดุจูŠู‡ุงุช ุงู„ู€ primes ุจุฑุถู‡
1448
+
1449
+ 363
1450
+ 00:27:30,200 --> 00:27:35,460
1451
+ ู…ุญูƒู…ูŠู† ู…ุญุฏูˆุฏูŠู† ูƒุนุฏุฏ ู…ุญุฏูˆุฏูŠู† ูƒุนุฏุฏ ู„ูƒู† ูŠู…ูƒู† ุฃูŠุถุง
1452
+
1453
+ 364
1454
+ 00:27:35,460 --> 00:27:39,870
1455
+ ุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„ encryptionูŠุนู†ูŠ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ุญุตูŠู„ุฉ
1456
+
1457
+ 365
1458
+ 00:27:39,870 --> 00:27:43,670
1459
+ ุงู„ primes ูƒู…ุงู† ุงู„ู„ูŠ ุงุญู†ุง ุจุงู„ู†ุณุจุงู„ู†ุง ุฐุฎูŠุฑุฉ ูƒุฃุฑู‚ุงู…
1460
+
1461
+ 366
1462
+ 00:27:43,670 --> 00:27:47,090
1463
+ ุงุณุชุฎุฏู…ู‡ุง ููŠ ุนู…ู„ูŠุฉ ุงู„ encryption ุนุดุงู† ุฃุถู…ู† ุฃู†ู‡ ุงู„
1464
+
1465
+ 367
1466
+ 00:27:47,090 --> 00:27:50,190
1467
+ code ุชุจุนูŠ ูŠูƒูˆู† ุฃุทูˆู„ ู…ุงูŠู…ูƒู† ู‚ุจู„ ู…ุง ูŠุชู… ูƒุณุฑู‡ ูˆ ู‚ุจู„
1468
+
1469
+ 368
1470
+ 00:27:50,190 --> 00:27:54,030
1471
+ ู…ุง ูŠุชูƒุฑุฑุŒ ู„ุฃ ู‡ุฐุง ุงู„ูƒู„ุงู… ุญุชู‰ ุจูŠุชุญู‚ู‚ ู…ุน ุงู„ pseudo
1472
+
1473
+ 369
1474
+ 00:27:54,030 --> 00:27:54,350
1475
+ prime
1476
+
1477
+ 370
1478
+ 00:28:01,970 --> 00:28:07,970
1479
+ ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุฒูŠ 341 ู‡ูŠ ุนุจุงุฑุฉ ุนู† 11 ููŠ 31
1480
+
1481
+ 371
1482
+ 00:28:07,970 --> 00:28:13,370
1483
+ ูƒู„ุง ู‡ู…ุง primes ู‡ูŠ ุจุญุฏ ุฐุงุชู‡ุง ู…ุด prime ู„ูƒู† ู…ุฏุงู… ุญู‚ู‚ุช
1484
+
1485
+ 372
1486
+ 00:28:13,370 --> 00:28:19,340
1487
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู† ูŠุชู†ูŠู† ุชุธุจุฑ ุชู„ุงุชู…ูŠุฉ ูˆุฃุฑุจุนูŠู†ู‡ูŠ ูุนู„ุงู‹
1488
+
1489
+ 373
1490
+ 00:28:19,340 --> 00:28:22,480
1491
+ ุทู„ุนุช congruent ู„ู„ูˆุงุญุฏ ุฅุฐุง ุงุณุชุฎุฏู…ุชู‡ุง ุถู…ู† ุงู„ modulus
1492
+
1493
+ 374
1494
+ 00:28:22,480 --> 00:28:29,750
1495
+ 341 ุทู„ุนุช ุตุญูŠุญุฉ ูุจู‚ุฏุฑ ุฃู‚ูˆู„ ุนู†ู‡ุงSodoprime ู†ู‚ุฏุฑ ู†ู‚ูˆู„
1496
+
1497
+ 375
1498
+ 00:28:29,750 --> 00:28:33,290
1499
+ ุนู†ู‡ุง Sodoprime ุทุจุนุง ููŠ ู‚ุงุฆู…ุฉ ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„
1500
+
1501
+ 376
1502
+ 00:28:33,290 --> 00:28:35,690
1503
+ Sodoprimes ููŠ ู‚ุงุฆู…ุฉ ูƒูˆูŠุณุฉ ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„ Sodoprimes
1504
+
1505
+ 377
1506
+ 00:28:35,690 --> 00:28:37,990
1507
+ ุงู„ู„ูŠ ุงู„ุนู„ู…ุงุก ุฃูˆ ุงู„ู„ูŠ ูŠุฎู„ูˆู†ู‡ู… ูŠู‚ูˆู„ูˆุง ุงู„ู„ูŠ ุจูŠุดุชุบู„ ููŠ
1508
+
1509
+ 378
1510
+ 00:28:37,990 --> 00:28:42,310
1511
+ ุงู„ encryption ู…ู…ูƒู† ูŠุณุชุบู„ู‡ุง ูˆุงู„ู„ูŠ ุจูŠุดุชุบู„ ููŠ ุงู„
1512
+
1513
+ 379
1514
+ 00:28:42,310 --> 00:28:46,770
1515
+ hacking ุจูŠููƒุฑ ููŠู‡ุง ุงู†ู‡ ู…ู…ูƒู† ุชูƒูˆู† ู‡ูŠ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ
1516
+
1517
+ 380
1518
+ 00:28:46,770 --> 00:28:51,310
1519
+ ู…ู…ูƒู† ุงุณุชุฎุฏุงู…ู‡ุง ุชู…ุงู… ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุด ูŠู†ุทุจู‚ ุนู„ู‰ ุฌุฏู„
1520
+
1521
+ 381
1522
+ 00:28:51,310 --> 00:28:57,100
1523
+ ุงุชู†ูŠู† ุจุณ ูƒ primary ูƒ binary ู„ุฃ ู…ู…ูƒู† ุชูƒูˆู† ู„ุฃูŠุจุงุณ
1524
+
1525
+ 382
1526
+ 00:28:57,100 --> 00:29:03,340
1527
+ ู„ุฃูŠ ุฃุณุงุณ ุฅุฐุง ุชุญู‚ู‚ุช ูุจุฑุถู‡ ุจู†ู‚ุฏุฑ ู†ุณู…ูŠู‡ุง Sodoprime
1528
+
1529
+ 383
1530
+ 00:29:03,340 --> 00:29:08,580
1531
+ Sodoprime ุชู…ุงู…ุŸ ูƒูˆูŠุณ ู‡ุฐู‡ ู‡ูŠูƒ ุฒูˆุฏุช ู„ู†ุง ุฐุฎูŠุฑุฉ ู…ูŠู†
1532
+
1533
+ 384
1534
+ 00:29:08,580 --> 00:29:13,220
1535
+ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ู…ู…ูƒู† ุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„ encryption ุฒูˆุฏุช
1536
+
1537
+ 385
1538
+ 00:29:13,220 --> 00:29:16,340
1539
+ ู„ู†ุง ุฅูŠุงู‡ุง ุฅู† ูˆุงู„ู„ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ options ุฃูƒุชุฑ
1540
+
1541
+ 386
1542
+ 00:29:16,340 --> 00:29:19,560
1543
+ ุจุญูŠุซ ุฅู† ุงู„ hackers ู‡ู†ุง ุจุชู„ุฎุจุท ุฃูƒุชุฑ ู„ุฅู†ู‡ ุจูŠุตูŠุฑ ุนู†ุฏู‡
1544
+
1545
+ 387
1546
+ 00:29:19,560 --> 00:29:22,280
1547
+ ุฐุฎูŠุฑุฉ ุฃูƒุจุฑ ุฃู†ุช ู…ู…ูƒู† ุชุณุชุฎุฏู…ู‡ุง ุนุจู„ ู…ุง ูŠู‚ุนุฏ ูŠุฏูˆุฑ ูˆ
1548
+
1549
+ 388
1550
+ 00:29:22,280 --> 00:29:27,030
1551
+ ูŠุฎู„ุต ูˆ ูŠุงุฎุฏ ูˆุฌู‡ ุฃุทูˆู„ ู…ุนุงู‡ุชู…ุงู… ู†ุจุฏุฃ ุงู„ุขู† ููŠ ุฌุฒุฆูŠุฉ
1552
+
1553
+ 389
1554
+ 00:29:27,030 --> 00:29:30,010
1555
+ ุงู„ encryption ุฌุฒุฆูŠุฉ ุงู„ encryption ู‡ู†ุงุฎุฏ ุทุฑูŠู‚ุชูŠู†
1556
+
1557
+ 390
1558
+ 00:29:30,010 --> 00:29:35,350
1559
+ ุทุฑูŠู‚ุฉ linear ูˆ ุจุณูŠุทุฉ ูˆ ุนู…ู„ูŠุฉ ุงู„ decryption ุจุฑุถู‡ ู…ุด
1560
+
1561
+ 391
1562
+ 00:29:35,350 --> 00:29:39,450
1563
+ ูƒุชูŠุฑ ุนุงู„ูŠุฉ ู„ูƒู† ุจุฏู†ุง ู†ูู‡ู… ู…ู†ู‡ ูƒู„ู‡ุง ูƒุนู„ู… ุงู„
1564
+
1565
+ 392
1566
+ 00:29:39,450 --> 00:29:42,390
1567
+ cryptography ู‡ุฐุง ูƒุงู† ููŠ ุญุงุฌุฉ ุณู…ู‰ cryptography ูˆ
1568
+
1569
+ 393
1570
+ 00:29:42,390 --> 00:29:46,270
1571
+ ู‡ุฐู‡ ูƒุนู„ู… ู‡ูˆ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ุจู†ุณุชุฎุฏู…ู‡ุง to encrypt and
1572
+
1573
+ 394
1574
+ 00:29:46,270 --> 00:29:51,610
1575
+ decrypt secret ุจุญูŠุซ ุงู† ู‡ูŠ ุจุนู…ู„ ููŠู‡ุง ุชุดููŠุฑ ู„ู„ุฑุณุงุฆู„
1576
+
1577
+ 395
1578
+ 00:29:51,610 --> 00:29:58,490
1579
+ ูˆ ููƒ ุงู„ุชุดููŠุฑู‡ุฐู‡ ุจูŠุณู…ูˆู‡ุง Cryptography ู„ูƒู† ููŠ Crypto
1580
+
1581
+ 396
1582
+ 00:29:58,490 --> 00:30:03,550
1583
+ Analysis ุงู„ู„ูŠ ู‡ูŠ Crypto Analysis ู‡ุฐู‡ ู„ุฃ ุงู„ุทุฑูŠู‚ุฉ
1584
+
1585
+ 397
1586
+ 00:30:03,550 --> 00:30:08,190
1587
+ ุงู„ุนูƒุณูŠุฉ ู‡ุฐู‡ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจุฏู‡ู… ูŠูƒุณุฑูˆุง ุงู„ุฃูƒูˆุงุฏ ูุจุชุตูŠุฑ
1588
+
1589
+ 398
1590
+ 00:30:08,190 --> 00:30:12,150
1591
+ ุงู„ุนู„ู… ุชุจุนู‡ู… ู‡ูˆ Crypto Analysis ุงู„ู„ูŠ ู‡ูˆ ุชุญู„ูŠู„
1592
+
1593
+ 399
1594
+ 00:30:12,150 --> 00:30:16,310
1595
+ ุงู„ุดูุฑุฉ ุชุญู„ูŠู„ ุงู„ุดูุฑุฉ ูู…ู…ูƒู† ุงุณุชุฎุฏุงู… ู‡ุฐุง ุงู„ุทุฑู‚
1596
+
1597
+ 400
1598
+ 00:30:16,310 --> 00:30:23,580
1599
+ ุจุชุณุชุฎุฏู… for breaking ุงูˆ ุงู„ code breakingุฌูŠุฏ ู†ุงุฎุฏ
1600
+
1601
+ 401
1602
+ 00:30:23,580 --> 00:30:26,560
1603
+ ุฃูˆู„ ู†ูˆุน ู…ู† ุงู„ุฃู†ูˆุงุน ูˆุงู„ู†ูˆุน ุงู„ุจุณูŠุท ูˆุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ูƒูˆุง
1604
+
1605
+ 402
1606
+ 00:30:26,560 --> 00:30:28,740
1607
+ ู‡ุฐุง ุฃูˆู„ ู†ูˆุน ุฃุตู„ุง ูŠุฎุชุฑุนูˆู‡ ููŠ ุงู„ุฏู†ูŠุง ุฃูˆ ุฃูˆู„ ู†ูˆุน
1608
+
1609
+ 403
1610
+ 00:30:28,740 --> 00:30:34,660
1611
+ ููƒุฑูˆู‡ ููŠู‡ ููŠ ุงู„ุฏู†ูŠุง ู‡ูˆ scissors cypher ุจุชุงุนุฉ ุฑุณุงู„ุฉ
1612
+
1613
+ 404
1614
+ 00:30:34,660 --> 00:30:38,860
1615
+ ุงู„ู‚ูŠุตุฑ ุฃูˆ ุดูุฑุฉ ุงู„ู‚ูŠุตุฑ ุจุณูŠุทุฉ ุฌุฏุง ูˆุณู„ุณุฉ ูˆู…ุงูƒู†ุด ููŠู‡ุง
1616
+
1617
+ 405
1618
+ 00:30:38,860 --> 00:30:47,080
1619
+ ูƒุชูŠุฑ ุฅุดูƒุงู„ูŠุงุช ูƒู„ ุงู„ู„ูŠ ุนู…ู„ู‡ ุฃู†ู‡ ุนู…ู„ ุชุฑุชูŠุจ ู„ู…ุฌู…ูˆุนุฉ
1620
+
1621
+ 406
1622
+ 00:30:47,080 --> 00:30:47,680
1623
+ ุงู„ุญุฑูˆู
1624
+
1625
+ 407
1626
+ 00:30:53,820 --> 00:31:02,060
1627
+ ูุจุจุฏุฃ a b c d e ูˆ ุจูƒู…ู„ ุนู†ุฏ z ุจุญุทู‡ู… ููŠ ุฌุฏูˆู„ ุจู‡ุฐุง
1628
+
1629
+ 408
1630
+ 00:31:02,060 --> 00:31:07,520
1631
+ ุงู„ุดูƒู„ ูˆ ุจุนุฏูŠู† ุจู‚ูˆู„ูƒ ุจุจุนุช ุฑุณุงู„ุฉ ุงู„ุฑุณุงู„ุฉ ู‡ุฐู‡ ู…ุดูุฉ
1632
+
1633
+ 409
1634
+ 00:31:07,520 --> 00:31:13,120
1635
+ ุชู„ุช ุงูˆ ุงุฑุจุน ุญุฑูˆู ุชู„ุช ุงูˆ ุงุฑุจุน ุญุฑูˆู ุฒูŠ ุงู†ู‡ ูŠู‚ูˆู„ ู„ุฃ
1636
+
1637
+ 410
1638
+ 00:31:13,120 --> 00:31:14,960
1639
+ ุจุฏูŠ ุงู„ุขู† ุงุญุท ุชุญุชู‡ุง
1640
+
1641
+ 411
1642
+ 00:31:18,640 --> 00:31:27,120
1643
+ A B C D and so on ูˆู‡ู†ุง ู†ูุณ ุงู„ูƒู„ุงู… ูŠุฑุฌุน ุงู„ู„ูŠ ุฎู„ุต
1644
+
1645
+ 412
1646
+ 00:31:27,120 --> 00:31:33,600
1647
+ ุนู†ุฏู‡ ู‡ู†ุง ูŠุฑุฌุน ูŠุจุฏุฃ ู…ู† ู‡ู†ุง ุจุญูŠุซ ุงู†ู‡ ุชูŠุฌูŠ ุฒุฏ ู‡ู†ุง ุทูŠุจ
1648
+
1649
+ 413
1650
+ 00:31:33,600 --> 00:31:41,760
1651
+ ุจุฏู‡ ู†ูุชุฑุถ ูƒู„ู…ุฉ ู†ูุชุฑุถ ุณู„ ู‡ู†ุง ูŠู…ูƒู† ู…ูƒุชูˆุจุฉ ุณู„ ุจู‡ุฐุง
1652
+
1653
+ 414
1654
+ 00:31:41,760 --> 00:31:48,260
1655
+ ุงู„ุดูƒู„ ุจุจุฏุฃ ุจ C ูุจุฑูˆุญ ุจุฏู„ ู…ุง ูŠุจุนุช C ูŠุจุนุช ุฒุฏุงู„ู€ E
1656
+
1657
+ 415
1658
+ 00:31:48,260 --> 00:31:52,040
1659
+ ุจูŠุจุนุชู‡ุง B and so on ุจุดูˆู ุงู„ L ู‡ู†ุง ุงูŠุด ูˆุงูู‚ุช ูˆ
1660
+
1661
+ 416
1662
+ 00:31:52,040 --> 00:31:57,580
1663
+ ุจูƒุชุจู‡ุง ุจุงู„ุดูƒู„ ู‡ุฐุง ูˆ ุฎู„ุงุต ูุงู†ุช ู„ูˆ ุงู†ุช ู‚ุทุนุช ุงู„ุฑุณุงู„ุฉ
1664
+
1665
+ 417
1666
+ 00:31:57,580 --> 00:32:01,540
1667
+ ููŠ ู†ุต ุงู„ุทุฑูŠู‚ ูˆ ุงู„ู„ูŠ ุจุนุชู‡ุง ู„ู„ู‚ูˆุงุช ุชุจุนูˆู†ู‡ ููŠ ุงู„ุญุฑูˆุจ
1668
+
1669
+ 418
1670
+ 00:32:01,540 --> 00:32:07,120
1671
+ ุชุจุนุชู‡ ุงู„ู‚ูŠุตุฑ ุจูŠุฌูŠ ุจู„ุงู‚ูŠ Z ุจูŠ .. ุงูŠุด ูŠุนู†ูŠุŸู…ุงูู‡ู…ุด
1672
+
1673
+ 419
1674
+ 00:32:07,120 --> 00:32:10,620
1675
+ ุงู„ุฑุณุงู„ุฉ ู„ูˆ ูˆุฌุนุช ู…ุงูู‡ู…ุด ุงู„ุฑุณุงู„ุฉ ุจุณ ููŠ ู†ูุณ ุงู„ูˆู‚ุช
1676
+
1677
+ 420
1678
+ 00:32:10,620 --> 00:32:14,900
1679
+ ุงู„ุชูƒูˆูŠุฏุฉ ู†ูุณู‡ุง ุงู† ุงู†ุช ุงุนู…ู„ shift ุจู‚ูŠู…ุฉ ูƒุฐุง ุงู„ู‚ูˆุงุช
1680
+
1681
+ 421
1682
+ 00:32:14,900 --> 00:32:18,580
1683
+ ุชุจุนูˆู†ู‡ ู‚ุจู„ ู…ุง ูŠุทู„ุน ุงู„ุญุฑูˆุจ ูƒู„ ูˆุงุญุฏ ุนุงุฑู ู‡ูˆ ุฌุฏุด ู„ุงุฒู…
1684
+
1685
+ 422
1686
+ 00:32:18,580 --> 00:32:21,620
1687
+ ูŠุชุญุฑูƒ ุงู†ุช ูˆุงู„ู„ู‡ ูƒู‚ุงุฆุฏ ู…ู† ุงู„ู‚ูˆุงุช ุจู‚ูˆู„ูƒ ุงู†ุช shift
1688
+
1689
+ 423
1690
+ 00:32:21,620 --> 00:32:25,580
1691
+ ุชุจุนูƒ ุชู„ุงุชุฉ ุงู†ุช shift ุชุจุนูƒ ุฎู…ุณุฉ ุงู†ุช shift ุชุจุนูƒ ุณุจุนุฉ
1692
+
1693
+ 424
1694
+ 00:32:25,580 --> 00:32:29,320
1695
+ ูˆุฎู„ุงุต ูˆ ุจุชุญุฑูƒูˆุง ุจุชุฏุจุน ุทู„ุจู‡ ุงู„ุณุจุนุฉ ุฎู„ุงุต ุจูƒูˆู† ุงู†ุง
1696
+
1697
+ 425
1698
+ 00:32:29,320 --> 00:32:32,900
1699
+ ู…ุดูุช ุนู†ุฏ ุงู„ุฑุณุงู„ุฉ ุจ shift ุณุจุนุฉ ูˆ ุจุนุทูŠู„ู‡ ุงูŠุงู‡ ู‡ูˆ
1700
+
1701
+ 426
1702
+ 00:32:32,900 --> 00:32:38,270
1703
+ ุงู„ูˆู‚ุช ุงู„ู„ูŠ ู…ุงุจุฏูˆุฑุฌุญู‡ุง ุจุฑุฌุน ุณุงู„ุจ ุณุจุนุฉูู‡ู†ุง ู†ูุณ ุงู„ุฌุตุฉ
1704
+
1705
+ 427
1706
+ 00:32:38,270 --> 00:32:44,010
1707
+ ุจูŠุฌูŠ ุจูŠู‚ุฏู…ู‡ุง ุจู†ูุณ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุฃู†ุง ูƒู†ุช ุดูุชู‡ุง ู„ุฌุฏุงู…
1708
+
1709
+ 428
1710
+ 00:32:44,010 --> 00:32:48,530
1711
+ ุนู†ู‡ุง ุจูŠุฌูŠุจู‡ุง ู„ุฌุฏุงู… ูู‡ุฐู‡ ุจูŠู‚ูˆู„ูƒ ู„ุฃ ุจุฏู„ ู…ุง ูƒุงู†ุช ูˆุงุญุฏ
1712
+
1713
+ 429
1714
+ 00:32:48,530 --> 00:32:53,990
1715
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุจุฏูŠ ุงุฑุฌุน ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉุจุฑุฌุน ุงู„ code
1716
+
1717
+ 430
1718
+ 00:32:53,990 --> 00:32:59,430
1719
+ ุงู„ู„ูŠ ุนู†ุฏู‡ ูˆ ุฎู„ุงุต ุจุณ ุจุฑุฌุน ุจุดูˆู ุงู„ุฑุณุงู„ุฉ ุชุงู†ูŠ ุทุจุนุง
1720
+
1721
+ 431
1722
+ 00:32:59,430 --> 00:33:03,890
1723
+ ู‡ุฐู‡ very modest ุฌุฏุง very modest ูˆ ู…ุด ู…ู†ุทู‚ูŠุฉ ููŠ
1724
+
1725
+ 432
1726
+ 00:33:03,890 --> 00:33:06,150
1727
+ ุงู„ูˆู‚ุช ุงู„ุญุงู„ูŠ ูŠุนู†ูŠ ููŠ ูˆู‚ุชู†ุง ุงู„ุญุงู„ูŠ ูˆู„ุง ูŠู…ูƒู† ุชูƒูˆู†
1728
+
1729
+ 433
1730
+ 00:33:06,150 --> 00:33:11,210
1731
+ ู…ู†ุทู‚ูŠุฉ ุญุงูˆู„ูˆุง ูŠุฒูˆุฏูˆู‡ุง ุงูƒุชุฑ ุจุญูŠุซ ุงู†ู‡ ูŠูƒูˆ๏ฟฝ๏ฟฝ ููŠ
1732
+
1733
+ 434
1734
+ 00:33:11,210 --> 00:33:15,260
1735
+ multiplier ููŠู‡ุงูŠุนู†ูŠ ู‡ูŠ ู…ุด ู…ุฌุฑุฏ shift ู„ุฃ ูŠุถุฑุจูˆู‡ุง
1736
+
1737
+ 435
1738
+ 00:33:15,260 --> 00:33:19,280
1739
+ ูƒู…ุงู† ููŠ ู‚ูŠู…ุฉ ุชุตูŠุฑ ุจุฏู„ ู…ุง ู‡ูŠ ู…ุฌุฑุฏ shift ุจุชู„ุงุชุฉ ู„ุฃ
1740
+
1741
+ 436
1742
+ 00:33:19,280 --> 00:33:24,120
1743
+ ุณุจุนุฉ ููŠ n plus ุชู„ุงุชุฉ ุทุจุนุง ุฃูƒูŠุฏ modulo ุณุชุฉ ูˆุนุดุฑูŠู†
1744
+
1745
+ 437
1746
+ 00:33:24,120 --> 00:33:27,020
1747
+ ุนุฏุฏ ุงู„ุญุฑูˆู ู„ุฅู† ุงุญู†ุง ู‡ู†ุง ูุนู„ุง ู‡ู†ุง ุงุณุชุฎุฏู…ู†ุง modulo
1748
+
1749
+ 438
1750
+ 00:33:27,020 --> 00:33:33,200
1751
+ ุณุชุฉ ูˆุนุดุฑูŠู† ู‡ูŠ ุจุนุฏ ุงู„ sub ุจุนุฏ ุงู„ z ุฑุฌุนู†ุง ุจุฏุฃู†ุง ู…ู†
1752
+
1753
+ 439
1754
+ 00:33:33,200 --> 00:33:38,320
1755
+ ุงู„ุตูุฑุฑุฌุนู†ุง ุจุฏูŠู†ุง ุตูุฑ ู…ู† ุฌุฏูŠุฏ ูู‡ู†ุง ุจุชุจุฏุฃ ุตูุฑ ูˆุงุญุฏ
1756
+
1757
+ 440
1758
+ 00:33:38,320 --> 00:33:41,980
1759
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุนู„ู‰ ุนู†ุฏูƒ ุงู„ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ูุณุชุฉ
1760
+
1761
+ 441
1762
+ 00:33:41,980 --> 00:33:46,700
1763
+ ูˆุนุดุฑูŠู† ู‡ูŠ ุตูุฑ ุณุชุฉ ูˆุนุดุฑูŠู† ู‡ุชุฑุฌุน ู„ู„ุตูุฑ ุชุงู†ูŠ ู‡ุชุฑุฌุน
1764
+
1765
+ 442
1766
+ 00:33:46,700 --> 00:33:51,100
1767
+ ู„ู„ุตูุฑ ุชุงู†ูŠ ูุงุฒู† ุชุจุฏุฃ ุงู„ index ุชุจุนูƒ ู…ู† zero ู„ุฎู…ุณุฉ
1768
+
1769
+ 443
1770
+ 00:33:51,100 --> 00:33:55,980
1771
+ ูˆุนุดุฑูŠู† ุจุณูŠุทุฉ ุงู„ุทุฑูŠู‚ุฉ ูˆ ุจุชู‚ุฏุฑ ุชู‚ูˆู„ ุงู† ู‡ูŠ very
1772
+
1773
+ 444
1774
+ 00:33:55,980 --> 00:34:02,300
1775
+ insecure very insecureุฑุบู… ุญุชู‰ ุงู†ูƒ ุงู†ุช ู‡ุชุณุชุฎุฏู…
1776
+
1777
+ 445
1778
+ 00:34:02,300 --> 00:34:06,320
1779
+ multiplier .. ุฑุบู… ุงู† ุงู†ุช ู‡ุชุณุชุฎุฏู… multiplier ุชู…ุงู…ุŸ
1780
+
1781
+ 446
1782
+ 00:34:06,320 --> 00:34:09,820
1783
+ ุทุจุนุง ุจุจุณุงุทุฉ ุฌุฏุง ู‡ูŠ ู…ุซู„ุง message ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุงู†ุช
1784
+
1785
+ 447
1786
+ 00:34:09,820 --> 00:34:14,660
1787
+ ุนุงุฑู ุงู† ู‡ูŠ .. ุงู† ุนู…ู„ุช ุจุงุณุชุฎุฏุงู… ุงู„ .. ุงู„ n plus
1788
+
1789
+ 448
1790
+ 00:34:14,660 --> 00:34:20,100
1791
+ ุชู„ุงุชุฉ ุงู‚ูˆู„ูƒ ุญุชู‰ ู„ูˆ ู…ุด ุนุงุฑู ุจุจุณุงุทุฉ ุฌุฏุง ุงู„ู„ุบุฉ ..
1792
+
1793
+ 449
1794
+ 00:34:20,100 --> 00:34:23,380
1795
+ okay ุงุญู†ุง ูƒุงุชุจูŠู†ู‡ุง ู„ุงู† ุจุณ ุงู„ .. ุงู„ูุนู„ูŠุง ู‡ูŠ 26 ุงู„ M
1796
+
1797
+ 450
1798
+ 00:34:23,380 --> 00:34:28,430
1799
+ ู…ุนุฑูˆูุฉูุนู„ูŠุง ููŠ ุญุฑูˆู ุงุณู…ู‡ุง ุงู„ vowels .. ุงู„ vowels
1800
+
1801
+ 451
1802
+ 00:34:28,430 --> 00:34:32,810
1803
+ letters ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุฑูˆู ุงู„ู„ูŠู†ุฉ ูˆ ุงู„ู„ูŠ ูƒู„ู†ุง ุนุงุฑููŠู†
1804
+
1805
+ 452
1806
+ 00:34:32,810 --> 00:34:36,950
1807
+ ุฃู† ู‡ุฏูŠ ุจุชุชูƒุฑุฑ ุฃูƒุชุฑ ู…ู† ุบูŠุฑู‡ุง ุตุญุŸ ุทูŠุจ ุนุงุฑููŠู† ุฃู† ุงู„ E
1808
+
1809
+ 453
1810
+ 00:34:36,950 --> 00:34:41,450
1811
+ ุฃูƒุชุฑ ุญุฑู ู…ู…ูƒู† ูŠุชูƒุฑุฑ ูู„ู…ุง .. ู„ู…ุง ุชูŠุฌูŠ ู„ message ุฒูŠ
1812
+
1813
+ 454
1814
+ 00:34:41,450 --> 00:34:46,090
1815
+ ู‡ุฏูŠ ูˆ ุชุทู„ุน ู‡ูˆ ุฃู†ู‡ ุฃูƒุชุฑ ุญุฑู ุงุชูƒุฑุฑ ุจุฏูƒ ุชูุชุฑุถ ุฃู†ู‡
1816
+
1817
+ 455
1818
+ 00:34:46,090 --> 00:34:50,950
1819
+ ูŠู…ูƒู† ูŠูƒูˆู† ุงู„ E ูุจุชุญุงูˆู„ ุงุชุดูุฉ ุงู„ message ุฃู†ู‡ ูŠูˆุงูู‚
1820
+
1821
+ 456
1822
+ 00:34:50,950 --> 00:34:51,310
1823
+ ุงู„ E
1824
+
1825
+ 457
1826
+ 00:34:54,180 --> 00:34:59,280
1827
+ ููƒุช ุงู„ุชุดููŠุฑุŒ ุตุญูŠุญุŸ ู„ุงุญุธุช ูƒูŠูุŸ ูุงู†ุช ุนุงุฑู ุงู† ุงู„ E
1828
+
1829
+ 458
1830
+ 00:34:59,280 --> 00:35:03,340
1831
+ ุฃูƒุชุฑ ุญุฑู ุจุชุชูƒุฑุฑุŒ ุงู„ A ุจุนุฏู‡ุŒ ุงู„ IุŒ ุงู„ vowels ู‡ุฐู‡
1832
+
1833
+ 459
1834
+ 00:35:03,340 --> 00:35:07,720
1835
+ ูƒู„ู†ุง ู†ุนู„ู… ุฃู† ู‡ูŠ ุญุฑูˆู ุงู„ู„ูŠู†ุฉุŒ ุงู„ุญุฑูˆู ุงู„ู„ูŠู†ุฉ ู‡ุฐู‡ ู‡ูŠ
1836
+
1837
+ 460
1838
+ 00:35:07,720 --> 00:35:11,850
1839
+ ุฃูƒุชุฑ ุญุฑูˆู ุจุชุชูƒุฑุฑ ููŠ ุงู„ู„ุบุฉู…ู†ุทู‚ ูˆู„ุง ู…ุด ู…ู†ุทู‚ุŸ ุนุดุงู†ูƒ
1840
+
1841
+ 461
1842
+ 00:35:11,850 --> 00:35:16,050
1843
+ insecure ุนุดุงู†ูƒ ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ู‡ูˆ insecure ูุจุชู‚ุฏุฑ
1844
+
1845
+ 462
1846
+ 00:35:16,050 --> 00:35:21,430
1847
+ ุจุจุณุงุทุฉ ุชู‚ูˆู„ ุงู„ E ุทูŠุจ ู…ูŠู† ุฃูƒุชุฑ ุญุฑูู†ุง ุงุชูƒุฑุฑ H ุงู„ H
1848
+
1849
+ 463
1850
+ 00:35:21,430 --> 00:35:26,630
1851
+ ู‡ุงูŠ ุฃุฑุจุน ู…ุฑุงุช ูุจุฏูƒ ุชูุชุฑุถ ุฃู† ู…ุนู†ุงุชู‡ ุงู„ E ู‡ุฐุง ุญุฑู ุงู„
1852
+
1853
+ 464
1854
+ 00:35:26,630 --> 00:35:31,970
1855
+ E ูุจู‡ุช ุงู†ุดูุช ุฎู„ุตุช
1856
+
1857
+ 465
1858
+ 00:35:31,970 --> 00:35:37,910
1859
+ ุงุดุชุบู„ ุนู„ู‰ ุงู„ุชู„ุงุชุฉ ูˆ ุทู„ุน ุงู„ messageูุงู†ุช secure ู…ุด
1860
+
1861
+ 466
1862
+ 00:35:37,910 --> 00:35:41,210
1863
+ ุจุงู„ุถุฑูˆุฑูŠ ุงู†ูƒ ุงู†ุช ุชูƒูˆู† ุนุงุฑู ุงู„ code ู†ูุณู‡ ุงู„ุทุฑูŠู‚ุฉ
1864
+
1865
+ 467
1866
+ 00:35:41,210 --> 00:35:46,050
1867
+ linear ุงู„ุทุฑูŠู‚ุฉ ุญุชู‰ ู„ูˆ ุถุฑุจุช ููŠ multiplier ู‡ูŠ linear
1868
+
1869
+ 468
1870
+ 00:35:46,050 --> 00:35:50,170
1871
+ ู‡ูŠ linear ูˆ ุงู„ linear ุฃุณู‡ู„ ู…ุง ูŠู…ูƒู† ุฃุณู‡ู„ ู…ุง ูŠู…ูƒู†
1872
+
1873
+ 469
1874
+ 00:35:50,170 --> 00:35:53,590
1875
+ ู…ุนุงุฏู„ุฉ linear ุนุจุงุฑุฉ ุนู† a ู…ุถุฑูˆุจุฉ ููŠ x ุฒุงุฆุฏ c
1876
+
1877
+ 470
1878
+ 00:35:53,590 --> 00:35:59,150
1879
+ increment ู…ุซู„ุง ุฎู„ุตู†ุง ูู‡ูŠ ู…ุด ูƒุชูŠุฑ secure ุทูŠุจ ู†ุฌู„ู‰
1880
+
1881
+ 471
1882
+ 00:36:00,560 --> 00:36:03,520
1883
+ ุชูƒู†ูŠูƒ ุฃุญุณู† ูˆ ุงู„ู„ูŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ุฃู†ุง ุจูŠุณุชุฎุฏู… ู…ู† ุงู„
1884
+
1885
+ 472
1886
+ 00:36:03,520 --> 00:36:06,780
1887
+ techniques ุงู„ู„ูŠ ุจุชุณุชุฎุฏู… ุญุชู‰ ุงู„ู„ุญุธุฉ ูƒ encryptor
1888
+
1889
+ 473
1890
+ 00:36:06,780 --> 00:36:11,060
1891
+ ู…ู†ุงุณุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ RSA ู…ุณุชุฎุฏู…ุฉ ููŠ ุงู„ email ุญุชู‰
1892
+
1893
+ 474
1894
+ 00:36:11,060 --> 00:36:14,940
1895
+ ุงู„ู„ุญุธุฉ ู…ุณุชุฎุฏู…ุฉ ููŠ ุงู„ email ู…ุณุชุฎุฏู…ุฉ ููŠ ุงู„ุจู†ูˆูƒ ููŠ
1896
+
1897
+ 475
1898
+ 00:36:14,940 --> 00:36:19,060
1899
+ ุงู„ู„ูŠ ู‡ูŠ ุชุดููŠุฑ ุฃูˆ ุชูƒูˆูŠุฏุฉ ุงู„ุฃุฑู‚ุงู… ุงู„ุณุฑูŠุฉ ู…ุซู„ุง ุชุงุนุฉ
1900
+
1901
+ 476
1902
+ 00:36:19,060 --> 00:36:22,080
1903
+ ุงู„ visa cardุนู†ุฏูƒ visa card ุฃู‡ ุจุณ ุฅู„ู‡ุง ุฑู‚ู… ุณุฑูŠ
1904
+
1905
+ 477
1906
+ 00:36:22,080 --> 00:36:25,740
1907
+ ูุงู„ุฑู‚ู… ุงู„ุณุฑูŠ ู‡ุฐุง ูŠุนุชุจุฑ ู‡ูˆ ุงู„ุดูุฑุฉ ุชุจุนุชูƒ ุงู„ู„ูŠ ู…ู†
1908
+
1909
+ 478
1910
+ 00:36:25,740 --> 00:36:28,720
1911
+ ุฎู„ุงู„ู‡ุง ุจุชู†ุนู…ู„ ู…ุฌู…ูˆุนุฉ ุนู…ู„ูŠุงุช ุฌูˆุง ุจุญูŠุซ ุฃู†ู‡ ุชุนุฑู ุฃู†
1912
+
1913
+ 479
1914
+ 00:36:28,720 --> 00:36:32,280
1915
+ ุงู„ุญุณุงุจ ู‡ุฐุง ุญุณุงุจูƒ ุฃูˆ ู…ุด ุญุณุงุจูƒ ูู‡ูŠ ุญุชู‰ ุงู„ุขู† ุฃู‡ ู…ู…ูƒู†
1916
+
1917
+ 480
1918
+ 00:36:32,280 --> 00:36:37,520
1919
+ ุชุณุชุฎุฏู… ุจูŠุนู…ู„ูˆุง ุนู„ูŠู‡ุง improvement ุจุณ ูƒ technique
1920
+
1921
+ 481
1922
+ 00:36:37,520 --> 00:36:42,020
1923
+ ู…ุณุชุฎุฏู… ุญุชู‰ ุงู„ู„ุญุธุฉ ููŠ ุจุนุถ ุงู„ุชุทุจูŠู‚ุงุช ุงู„ RSA ุจูŠุนุชู…ุฏ
1924
+
1925
+ 482
1926
+ 00:36:42,020 --> 00:36:46,290
1927
+ ุนู„ู‰ุดุบู„ุชูŠู† ุงู†ู‡ ููŠ ุนู†ุฏู‰ ู…ุฌู…ูˆุนุฉ parameters ุจุฏู†ุง
1928
+
1929
+ 483
1930
+ 00:36:46,290 --> 00:36:50,530
1931
+ ู†ุณุชุฎุฏู…ู‡ุง ุจุฑุถู‡ ููŠ ุจู†ุงุก ุงู„ mask ุงู„ู„ู‰ ุชุงูˆู‰ ุงุชูƒู„ู…ู†ุง
1932
+
1933
+ 484
1934
+ 00:36:50,530 --> 00:36:55,590
1935
+ ุนู†ู‡ ุงู†ู†ุง ุจู†ุณุชุฎุฏู… ู…ุฌู…ูˆุนุฉ sequence ู…ู† ุงู„ุฃุฑู‚ุงู… ุชู…ุงู…
1936
+
1937
+ 485
1938
+ 00:36:55,590 --> 00:37:01,670
1939
+ ุฃุดูุฑ ููŠู‡ุง ุงู„ message ุชุตุจุญ message ุชุงู†ูŠุฉ ู…ุฎุชู„ูุฉ
1940
+
1941
+ 486
1942
+ 00:37:01,670 --> 00:37:06,830
1943
+ ุชู…ุงู…ุง message ุงู†ุช ู…ุด ู‡ุชูู‡ู… ู…ู†ู‡ุง ุญุงุฌุฉ ุทูŠุจ ููŠ ุนู†ุฏู‰
1944
+
1945
+ 487
1946
+ 00:37:06,830 --> 00:37:09,750
1947
+ ู…ุฌู…ูˆุนุฉ parameters ู…ุฌู…ูˆุนุฉ ุงู„ parameters ู‡ุชู†ู‚ุณู…ู‡ุง ู„ุฃ
1948
+
1949
+ 488
1950
+ 00:37:09,750 --> 00:37:14,180
1951
+ private keyprivate key ู‡ุฐู‡ ุงู„ู…ูุฑูˆุถ ุงู† ู…ุงุญุฏุด ูŠุนุฑูู‡ุง
1952
+
1953
+ 489
1954
+ 00:37:14,180 --> 00:37:17,520
1955
+ ุงู„ุง
1956
+
1957
+ 490
1958
+ 00:37:17,520 --> 00:37:21,340
1959
+ ุงู„ู„ูŠ ุนู…ู„ ุงู„ code ุจุณ ุงุฐุง ุงู„ bank ู…ุนู†ุงุชู‡ ุงู„ bank ุจุณ
1960
+
1961
+ 491
1962
+ 00:37:21,340 --> 00:37:24,920
1963
+ ูู‚ุท ุงู„ bank ูˆ ููŠ ุงู„ public key ุงู„ public key ู„ุฃ
1964
+
1965
+ 492
1966
+ 00:37:24,920 --> 00:37:28,960
1967
+ ู‡ุฐู‡ ุงู†ุช ุงุตู„ุง ู…ุญุชุงุฌู‡ุง ุงู†ุช ู…ู…ูƒู† ู…ุงุชุงุฎุฏู‡ุงุด ููŠ ุงูŠุฏูƒ ุจุณ
1968
+
1969
+ 493
1970
+ 00:37:28,960 --> 00:37:31,540
1971
+ ู…ู…ูƒู† ุชุงุฎุฏู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ู‡ูŠุนุทูŠู‡ู„ูƒ ูˆ ุงู†ุช
1972
+
1973
+ 494
1974
+ 00:37:31,540 --> 00:37:36,630
1975
+ ุนุงุฑูู‡ุจุณ ุงู„ุฑู‚ู… ู‡ุฐุง ุจูŠุญุชูˆูŠ ุนู„ู‰ ุงู„ู‚ูŠู… ู‡ุฐู‡ ูู‡ูˆ public
1976
+
1977
+ 495
1978
+ 00:37:36,630 --> 00:37:41,390
1979
+ ููŠ ุงู„ุขุฎุฑ ู‡ูˆ ู…ุนุทูˆ ุนู†ุฏูƒ ุงู†ุช ู…ุงุฎุฏู‡ ูˆ ุบูŠุฑูƒ ู…ู…ูƒู† ูŠุดูˆูู‡
1980
+
1981
+ 496
1982
+ 00:37:41,390 --> 00:37:44,890
1983
+ ู…ู†ูƒ ูƒู…ุงู† ูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ู…ุณูƒ ุงู„ visa card ุชุจุนุชูƒ ูˆ
1984
+
1985
+ 497
1986
+ 00:37:44,890 --> 00:37:49,490
1987
+ ุจุชุทู„ุน ู‡ูŠู„ุงุฌูŠ ุฑู‚ู… ู…ุงุดูŠ ูู„ูŠูƒู† ู‡ูŠุฃุฎุฐ ุงู„ุฑู‚ู… ููŠ ุงู„
1988
+
1989
+ 498
1990
+ 00:37:49,490 --> 00:37:52,990
1991
+ email ุงู†ุช ุจุชูƒูˆู† ูƒุงุชุจ ุญุชู‰ ุงู„ email ู…ุงุชุด ุชููƒุฑ ููŠู‡
1992
+
1993
+ 499
1994
+ 00:37:52,990 --> 00:37:58,170
1995
+ ุงู†ุช ุจุชุนู…ู„ุชุดููŠุฑ ู„ู„ email ูุนู„ูŠุง ุจุชุจุนุช ุงู„ message
1996
+
1997
+ 500
1998
+ 00:37:58,170 --> 00:38:00,870
1999
+ ุชุจุนุชูƒ ุงู„ message ุชุจุนุชูƒ ู‚ุจู„ ู…ุง ุชุทู„ุน ุนู„ู‰ ุฎุท ุงู„ net
2000
+
2001
+ 501
2002
+ 00:38:00,870 --> 00:38:07,230
2003
+ ุจุชุชุดูุฑ ุจุชุชุดูุฑ ุจุงู„ .. ุจุงุณุชุฎุฏุงู… ุงู„ RSA ูƒูˆูŠุณ ุงุชุดูุฑุช ูˆ
2004
+
2005
+ 502
2006
+ 00:38:07,230 --> 00:38:12,890
2007
+ ุฑุงุญุช ู„ ุงู„ email ุงู„ุดุฎุต ุงู„ู„ูŠ ู…ูƒุชูˆุจ ููŠ ุงู„ email ูู‡ูˆ
2008
+
2009
+ 503
2010
+ 00:38:12,890 --> 00:38:16,770
2011
+ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ุจูŠู‚ุฏุฑ ูŠู‚ุฑุฃู‡ุง ู‡ูˆ ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ุจูŠู‚ุฏุฑ
2012
+
2013
+ 504
2014
+ 00:38:16,770 --> 00:38:19,950
2015
+ ูŠู‚ุฑุฃู‡ุง ู„ุฅู†ูƒ ุฃุตู„ุง ู…ุฎุตูˆุต ุจุนุชู„ู‡ ุฅูŠุงู‡ุง ูู‡ูˆ ู‡ุฐุง ุงู„ู„ูŠ
2016
+
2017
+ 505
2018
+ 00:38:19,950 --> 00:38:24,250
2019
+ ุจูŠุตู„ู‡ ุงู„ public keyุนู„ู‰ ุงูŠู…ูŠู„ู‡ ูุงุทูˆู…ุงุชูƒ ุจุชูุชุญ ุนู†ุฏู‡
2020
+
2021
+ 506
2022
+ 00:38:24,250 --> 00:38:27,130
2023
+ ูู‚ุท ู„ู…ุง ู…ุด ู‡ุชูุชุญ ู„ูˆ ูˆุงุญุฏ ุชุงู†ูŠ ู…ุด ู‡ุชูุชุญ ู„ูˆ ูˆุงุญุฏ
2024
+
2025
+ 507
2026
+ 00:38:27,130 --> 00:38:31,670
2027
+ ุชุงู†ูŠ ู…ุฌุฑุฏ ู‡ูˆ ู…ุงุดูŠ .. ู…ุงุดูŠ ุงู„ุฎุท ู†ูุชุฑุถ ุนู…ู„ ู‚ุฑุตุงู†ุฉ ูˆ
2028
+
2029
+ 508
2030
+ 00:38:31,670 --> 00:38:35,230
2031
+ ุฃุฎุฏ ู…ุฌู…ูˆุนุฉ ุจูŠุงู†ุงุช ู…ุด ู‡ูŠูู‡ ู…ู†ู‡ุง ุญุงุฌุฉ ู…ุด ู‡ูŠูู‡ ู…ู†ู‡ุง
2032
+
2033
+ 509
2034
+ 00:38:35,230 --> 00:38:38,190
2035
+ ุงูŠุด ู‡ุชู†ุดูˆู ุงูŠุด ุจุงู„ุธุจุท ุงู„ private key ุงู„ private
2036
+
2037
+ 510
2038
+ 00:38:38,190 --> 00:38:46,530
2039
+ key ู‡ูŠ ุนุจุงุฑุฉ ุนู† P ูˆ Q ูˆ Random Prime Numbers ูู‡ูŠ
2040
+
2041
+ 511
2042
+ 00:38:46,530 --> 00:38:51,030
2043
+ ุฏุฎู„ู†ุง ููŠ ุงู†ู‡ ุจุฏู‰ ูŠุง Prime ูˆ Randomุนุดุงู† ู‡ูŠูƒ ูƒู†ุง ุชูˆุจ
2044
+
2045
+ 512
2046
+ 00:38:51,030 --> 00:38:53,830
2047
+ ู†ุชุนู„ู… ุฅูŠุด ูŠุนู†ูŠ prime ูˆ ุฅูŠุด ูŠุนู†ูŠ co-prime ูˆ ุฅูŠุด
2048
+
2049
+ 513
2050
+ 00:38:53,830 --> 00:38:58,050
2051
+ ูŠุนู†ูŠ randomุŒ ูƒูˆูŠุณ ูุจุฏู†ุง ุงู„ุฑู‚ู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ P ูˆ ุงู„
2052
+
2053
+ 514
2054
+ 00:38:58,050 --> 00:39:05,850
2055
+ Q ูŠูƒูˆู†ูˆุง ุนุจุงุฑุฉ ุนู† ุงู„ prime ูˆ numberุŒ ูู‡ูŠ ุงู„ P ูˆ ุงู„
2056
+
2057
+ 515
2058
+ 00:39:05,850 --> 00:39:14,470
2059
+ Q ูˆ ู…ุญุชุงุฌ ุงู„ EุŒ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ exponent E ุฃูˆ ุฏู„ูŠู„ุŒ
2060
+
2061
+ 516
2062
+ 00:39:14,470 --> 00:39:18,250
2063
+ ุญุงุฌุฉ ุจูŠุณู…ูˆู‡ุง ุงู„ุฏู„ูŠู„ุŒ exponent ุงู„ู„ูŠ ู‡ูŠ ุงู„ Eู‡ุฏูˆู„ุฉ
2064
+
2065
+ 517
2066
+ 00:39:18,250 --> 00:39:22,750
2067
+ private ู‡ุฏูˆู„ุฉ ู…ุงุญุฏุด ุจุนุฑูู‡ู… ู‡ุฏูˆู„ ุงู„ู…ูุฑูˆุถ ุงู„ุฃุตู„ ุฃู†ู‡
2068
+
2069
+ 518
2070
+ 00:39:22,750 --> 00:39:28,610
2071
+ ู…ุงุญุฏุด ูŠูƒูˆู† ุจุนุฑูู‡ู… ูƒ private ุชู…ุงู… ููŠ ุงู„ู…ู‚ุงุจู„ ููŠ
2072
+
2073
+ 519
2074
+ 00:39:28,610 --> 00:39:32,010
2075
+ ุนู†ุฏูƒ ุงู„ public ุงู„ public ุฅูŠุด ุจูŠุนุทูŠูƒ ุจูŠุนุทูŠู‡ ู‚ูŠู…ุฉ in
2076
+
2077
+ 520
2078
+ 00:39:32,010 --> 00:39:41,170
2079
+ ู‚ูŠู…ุฉ in ู‡ุฏ ุนุจุงุฑุฉ ุนู† P ู…ุถุฑูˆุจุฉ ููŠ Q ูู‡ุฏ ุงู„ู„ูŠ ุจุชูƒูˆู†
2080
+
2081
+ 521
2082
+ 00:39:41,170 --> 00:39:44,890
2083
+ ู…ุนุทุงู… ุนู„ู‰ ุงู„ message ุนุดุงู† ุชุณุงู‡ู… ุฃูˆ ุชุณุงุนุฏ ููŠ ููƒ ุงู„
2084
+
2085
+ 522
2086
+ 00:39:44,890 --> 00:39:49,330
2087
+ message ุนุดุงู† ุชุณุงุนุฏ ููŠ ููƒ ุงู„ messageู„ูŠุดุŸ ุจุนุฏ ู‡ูŠูƒ
2088
+
2089
+ 523
2090
+ 00:39:49,330 --> 00:39:57,930
2091
+ ู…ุญุชุงุฌ ู‚ูŠู…ุฉ D ุจุณ D ู‡ุฐู‡ ุนุดุงู† ุชู†ุญุณุจ ูƒุฃู†ู‡ุง ุงู„ inverse
2092
+
2093
+ 524
2094
+ 00:39:57,930 --> 00:40:09,990
2095
+ ู„ู„ E ุจุณ ู…ุฏู„ู‡ P ู†ุงู‚ุต ูˆุงุญุฏ ููŠ Q ู†ุงู‚ุต ูˆุงุญุฏ ูˆู„ูŠุณุช E
2096
+
2097
+ 525
2098
+ 00:40:09,990 --> 00:40:15,830
2099
+ ู†ูุณู‡ุง ูŠุนู†ูŠ ู„ุง ุชุนุทูŠ E ู†ูุณู‡ุง ุจู†ุนุทูŠุด ุงู„ E ู†ูุณู‡ุง ุงุญู†ุง
2100
+
2101
+ 526
2102
+ 00:40:15,830 --> 00:40:21,690
2103
+ ุจู†ุนุทูŠD ูˆุงู„ู„ูŠ ู‡ูŠ ุงู„ inverse ุจุชุงุนุฉ E ูุฅุฐุง public ุฃู†ุช
2104
+
2105
+ 527
2106
+ 00:40:21,690 --> 00:40:25,970
2107
+ ุจุชุนุฑู ุงู„ D ู„ูƒู† ุงู„ E ุฃู†ุช ู…ุด ุนุงุฑูู‡ุง ุฃู†ุง ูู‚ุท ุงู„ู„ูŠ
2108
+
2109
+ 528
2110
+ 00:40:25,970 --> 00:40:29,010
2111
+ ุนุงุฑูู‡ุง ุฃู†ุง ุงู„ู„ูŠ ุนู…ู„ุช ุงู„ code ุฃู†ุง ูู‚ุท ุงู„ู„ูŠ ุจุนุฑูู‡ุง
2112
+
2113
+ 529
2114
+ 00:40:29,010 --> 00:40:34,290
2115
+ ุฃู†ุช ุฃุนุทุชูƒ ุงู„ D ุจุณ ุนุดุงู† ุชููƒ ุงู„ call ุงู„ message ุงู„ู„ูŠ
2116
+
2117
+ 530
2118
+ 00:40:34,290 --> 00:40:36,970
2119
+ ุฃุนุทุชูƒ ุฅูŠุงู‡ุง ุจุณ ุฃู†ุช ู…ุงุนุฑูุชุด ุงู„ system ุชุจุนูŠ ุฃู†ุช
2120
+
2121
+ 531
2122
+ 00:40:36,970 --> 00:40:40,310
2123
+ ู…ุงุนุฑูุชุด ู‚ุงู„ูŠุฉ ุงู„ุชุดููŠุฑ ู†ูุณู‡ุง ุงู„ู„ูŠ ุฃู†ุง ู…ุณุชุฎุฏู…ู‡ุง
2124
+
2125
+ 532
2126
+ 00:40:40,310 --> 00:40:48,010
2127
+ ูˆุงุถุญุช ูุฅุฐุงE ุชุจุนุชู‰ ูˆุงู†ุง ู…ู† ุนู†ุฏู‰ ุงุนู…ู„ุชู„ูƒ generation
2128
+
2129
+ 533
2130
+ 00:40:48,010 --> 00:40:52,570
2131
+ ู„ D ูˆุงู†ุช ุชุชุงูƒุฏ D ุจุณ ุนู„ู‰ ุงุนุชุจุงุฑ ุงู† ุงู„ D ู‡ุฏู‰ ู‡ู‰ ุงู„
2132
+
2133
+ 534
2134
+ 00:40:52,570 --> 00:40:58,570
2135
+ inverse ู„ู„ E ุงู„ู„ู‰ ุนู†ุฏู‰ ุจุณ ุจู…ูŠู† ุจ modulus ุงูˆ modulo
2136
+
2137
+ 535
2138
+ 00:40:58,570 --> 00:41:03,750
2139
+ P ู†ุงู‚ุต ูˆุงุญุฏ ููŠ Q ู†ุงู‚ุต ูˆุงุญุฏ ูˆู„ูŠู‡ set P ููŠ Q ุงู„ู„ู‰
2140
+
2141
+ 536
2142
+ 00:41:03,750 --> 00:41:11,140
2143
+ ุงู†ุช ุงุตู„ุง given ุนู†ุฏูƒูุฅุฐุง ุฅู†ูƒ ุชููƒ ุงู„ุดูุฑุฉ ุจุชููƒู‡ุง ุจุงู„
2144
+
2145
+ 537
2146
+ 00:41:11,140 --> 00:41:18,280
2147
+ modulus N ูƒูˆูŠุณ ุงู„ู„ูŠ ู‡ูŠ P ููŠ Q ู„ูƒู† ู„ู…ุง ุฃู†ุง ุจุนุทูŠูƒ D
2148
+
2149
+ 538
2150
+ 00:41:18,280 --> 00:41:21,780
2151
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ inverse ุจุชุงุนุฉ E ุจุนุทูŠูƒ ุฅูŠุงู‡ุง ุนู„ู‰ modulus
2152
+
2153
+ 539
2154
+ 00:41:21,780 --> 00:41:27,940
2155
+ ุชุงู†ูŠ ุฃู†ุช ู…ุด ุนุงุฑูู‡ ู‚ูŠู…ุฉ ุงู„ modulus ุงู„ุชุงู†ูŠ ุฃู†ุช ู…ุด
2156
+
2157
+ 540
2158
+ 00:41:27,940 --> 00:41:33,050
2159
+ ุนุงุฑูู‡ ุงู„ู„ูŠ ู‡ูŠ P ู†ุงู‚ุต ูˆุงุญุฏ ููŠ Q ู†ุงู‚ุต ูˆุงุญุฏุจุฏูƒ ุชููƒู‡
2160
+
2161
+ 541
2162
+ 00:41:33,050 --> 00:41:37,530
2163
+ ุงูˆูƒูŠ ุงู‚ุนุฏ ุชุฏูˆุฑ ููŠ ูƒู„ ุงู„ primes ูˆ ุถุฑุจ ููŠ ุจุนุถ ูˆ ุดูˆู
2164
+
2165
+ 542
2166
+ 00:41:37,530 --> 00:41:42,930
2167
+ ุงูŠู‡ ูˆ ุงู†ุช ูˆ ู†ุตูŠุจูƒ ุงู…ุชู‰ ุชุทู„ุน ู…ุนุงูƒ ุชู…ุงู… ู‡ู„ูˆูƒ ุชู„ุงุชุฉ
2168
+
2169
+ 543
2170
+ 00:41:42,930 --> 00:41:45,150
2171
+ ูƒู„ุงู… ุจุฏู†ุง ู†ุทุจู‚ู‡ ุจุณ ุจุฏู†ุง ู†ุนุฑู ู…ุฌู…ูˆุนุฉ ุงู„ parameters
2172
+
2173
+ 544
2174
+ 00:41:45,150 --> 00:41:48,390
2175
+ ู‡ุฐู‡ ูƒูŠู ู‡ุณุชุฎุฏู…ู‡ุง ุงูˆู„ ุดุบู„ ุนุดุงู† ู†ุณุชุฎุฏู…ู‡ุง ุจุฏู†ุง ู†ุญุณุจ
2176
+
2177
+ 545
2178
+ 00:41:48,390 --> 00:41:53,210
2179
+ ุงู„ ุงู„ ุงู„ coded message ุงู„ coded message ุงู„ู„ูŠ ู‡ูŠ
2180
+
2181
+ 546
2182
+ 00:41:53,210 --> 00:41:57,650
2183
+ ู‡ุชุชุดูุฑ ุจุชุณุงูˆูŠ ุงู„ message ู†ูุณู‡ุง ุงู„ message ู†ูุณู‡ุง ุงู„
2184
+
2185
+ 547
2186
+ 00:41:57,650 --> 00:42:02,690
2187
+ characters ู†ูุณู‡ุง ุงู„ู„ูŠ ุงู†ุช ูƒุงุชุจู‡ุง to the power Eู‡ูŠ
2188
+
2189
+ 548
2190
+ 00:42:02,690 --> 00:42:07,910
2191
+ ุงู„ exponent to the power E modulo N ูู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡
2192
+
2193
+ 549
2194
+ 00:42:07,910 --> 00:42:12,830
2195
+ ู‡ูŠุทู„ุน ุงู„ C ู‡ุฐูŠ ู‡ุชุจุนุชู‡ุง ุทูŠุจ ุฅูŠุด ู‡ุชุจุนุช ู…ุนู‡ุงุŸ ู‡ุชุจุนุช
2196
+
2197
+ 550
2198
+ 00:42:12,830 --> 00:42:15,610
2199
+ ู…ุนู‡ุง N ูˆD
2200
+
2201
+ 551
2202
+ 00:42:17,730 --> 00:42:21,510
2203
+ ูƒูŠู ุงู†ุนู…ู„ุช ุฏูŠ ู…ุงู„ูƒุงุด ุนู„ุงู‚ุฉ ู‡ูŠ ุฏูŠ ุนุดุงู† ุชููƒ ุงู„ุดูุฑุฉ
2204
+
2205
+ 552
2206
+ 00:42:21,510 --> 00:42:25,290
2207
+ ุชุจุนุชูŠ ุจุณ ูุงู†ุช ูƒุงุชุจ ุงู†ุง ุงู„ email ุชุจุนูƒ ูู…ุนู†ู‰ ุฐู„ูƒ ุงู†
2208
+
2209
+ 553
2210
+ 00:42:25,290 --> 00:42:28,170
2211
+ ู‡ุฏ ุจุชุชุญู…ู„ ู…ุนูŠ ุงู„ email ุชุจุนูƒ ุจุญูŠุซ ุงู† ู‡ูŠ ู„ email ุจุณ
2212
+
2213
+ 554
2214
+ 00:42:28,170 --> 00:42:31,450
2215
+ ุชู†ุนุฑู ู‚ูŠู…ุฉ ุฏูŠ ู email ุงูƒ ุงูˆุชูˆู…ุงุชูŠูƒ ุจูŠููƒ ุงู„ุดูุฑุฉ
2216
+
2217
+ 555
2218
+ 00:42:31,450 --> 00:42:35,470
2219
+ ุชุจุนุชูŠ ุงู„ุฑุณุงู„ุฉ ุงู„ู„ูŠ ูˆุตู„ุชูƒ ุชู†ููƒู‡ ู…ุด ุงู„ุญุงู„ ุจุญูŠุซ ุงู†ูƒ
2220
+
2221
+ 556
2222
+ 00:42:35,470 --> 00:42:40,880
2223
+ ุชุฑุฌุน ู„ ุงู„ message ุงู„ู„ูŠ ุจุชุณุงูˆูŠุงู„ู€ Coded Message to
2224
+
2225
+ 557
2226
+ 00:42:40,880 --> 00:42:44,120
2227
+ the power D ุนู„ู‰ ู†ูุณ ุงู„ู…ูˆุถูˆุน ุงู„ุงุตู„ูŠ ุทูŠุจ .. ุจุชู†ุง ..
2228
+
2229
+ 558
2230
+ 00:42:44,120 --> 00:42:47,220
2231
+ ุฑู‚ู… .. ุจุชู†ุง .. ุฒูŠ ู…ุง ุจู‚ูˆู„ู‡ ู…ุซุงู„ ุฑู‚ู…ูŠ ูŠุนู†ูŠ ุงู„ูƒู„ุงู…
2232
+
2233
+ 559
2234
+ 00:42:47,220 --> 00:42:52,500
2235
+ ู‡ูŠูƒ ุดูˆูŠุฉ ุจูŠุธู„ ู†ุงุดู ู‡ุชู†ุดูˆู ู…ุซู„ุง Message
2236
+
2237
+ 560
2238
+ 00:42:54,360 --> 00:42:58,820
2239
+ ุนุจุงุฑุฉ ุนู† ูƒู„ู…ุฉ ุงูŠุด ุจุฏู†ุง ู†ุจุนุช ูˆูŠู† ุฑุงุญ ุช stop ูƒู„ู…ุฉ
2240
+
2241
+ 561
2242
+ 00:42:58,820 --> 00:43:04,240
2243
+ stop ู…ุซู„ุง ูƒู„ู…ุฉ stop ู„ุญุงู„ู‡ุง ูู‚ุท ูƒู„ู…ุฉ stop ู‡ู†ุง ูƒูŠู
2244
+
2245
+ 562
2246
+ 00:43:04,240 --> 00:43:09,240
2247
+ ู†ุนู…ู„ู‡ุง ูˆ ุจุฏู†ุง ู†ุดูุฑู‡ุง ุงู„ู‚ุงู†ูˆู† ูˆุงุถุญ ุงู„ coded ุจุชุณุงูˆูŠ
2248
+
2249
+ 563
2250
+ 00:43:09,240 --> 00:43:12,720
2251
+ ุงู„ message to the power e ุงู„ exponent ููŠ ุงู„
2252
+
2253
+ 564
2254
+ 00:43:12,720 --> 00:43:21,220
2255
+ modulus ุงูˆ modulo n ุงูˆู„ ุดุบู„ ู‡ู†ุณุชุฎุฏู… ุงู„ P 43 ุงู„ Q
2256
+
2257
+ 565
2258
+ 00:43:21,220 --> 00:43:22,080
2259
+ 59
2260
+
2261
+ 566
2262
+ 00:43:24,270 --> 00:43:28,750
2263
+ ู‡ุฏูˆู„ุฉ ู…ู‡ู…ูŠู† ุฌุฏุง ุนุดุงู† ู†ุญุณุจ ู…ู†ู‡ู… ู‚ูŠู…ุฉ N ู…ุถุฑูˆุจู‡ู… ููŠ
2264
+
2265
+ 567
2266
+ 00:43:28,750 --> 00:43:34,210
2267
+ ุจุนุถ ูู‡ูŠุทู„ุน ุนู†ุฏู‰ ุงู„ modulus ุงู„ู„ู‰ ุจู†ุณุชุฎุฏู…ู‡ okay ุงู„ E
2268
+
2269
+ 568
2270
+ 00:43:34,210 --> 00:43:38,390
2271
+ 13 ุทุจ ุงู†ุง ู…ู„ุงุญุธ ุดุบู„ุฉ ุงู„ E ูˆ ุงู„ P ูˆ ุงู„ Q ูƒู„ู‡ู…
2272
+
2273
+ 569
2274
+ 00:43:38,390 --> 00:43:44,970
2275
+ Primes ุตุญูŠุญุŸ ู„ุฃ ูˆ ุงุญู†ุง ู…ุณุชุฎุฏู…ูŠู† Primes ู…ุชูˆุงุถุนุฉ
2276
+
2277
+ 570
2278
+ 00:43:44,970 --> 00:43:49,190
2279
+ ูƒู…ุงู† ู‡ู†ุง ู„ู…ุฌุฑุฏ ุจุณ ุงู„ุฃุฑู‚ุงู… ุจุชู…ุดูŠ ู…ุนู†ุง ูŠุนู†ูŠ ู†ูู‡ู…ู‡ุง
2280
+
2281
+ 571
2282
+ 00:43:49,190 --> 00:43:53,290
2283
+ ุจุงู„ุนุงุฏุฉ ู„ุฃ ุจุชุณุชุฎุฏู… ุฃุฑู‚ุงู… ูƒุชูŠุฑ ุฃูƒุจุฑ ู…ู† ู‡ูŠูƒูŠุนู†ูŠ ุงู„ E
2284
+
2285
+ 572
2286
+ 00:43:53,290 --> 00:43:57,350
2287
+ ุฏู‡ ู…ู…ูƒู† ุชูƒูˆู† ุจุชุณุนู…ูŠุงุชุŒ ุณุจุนู…ูŠุงุชุŒ ุฎู…ุณู…ูŠุงุชุŒ PrimesุŒ
2288
+
2289
+ 573
2290
+ 00:43:57,350 --> 00:44:02,950
2291
+ Primes ูƒู…ุงู† ุชู…ุงู… ุฃูˆู„ ุดุบู„ุฉ ุจุฏู†ุง ู†ุถู…ู†ู‡ุง ู…ุฏุงู… ุฃู†ุง ุจุฏูŠ
2292
+
2293
+ 574
2294
+ 00:44:02,950 --> 00:44:08,820
2295
+ ุฃุดุชุบู„ ุนู„ู‰ ุงู„ E ูˆ ู„ุงุญุธ ุงู„ E ู‡ุงุฏูŠ ุฃู†ุง ู‡ุนุทูŠูƒุงู„
2296
+
2297
+ 575
2298
+ 00:44:08,820 --> 00:44:13,160
2299
+ inverse ุชุจุนู‡ุง ุฃู…ุง ู…ุด ู‡ุชุนุทูŠูƒ ุงู„ E ุตุญุŸ ู…ู…ุชุงุฒ ูุฅุฐุง
2300
+
2301
+ 576
2302
+ 00:44:13,160 --> 00:44:16,260
2303
+ ุฃูˆู„ ุดุบู„ุฉ ุจุฏูŠ ุฃุถู…ู†ู‡ุง ุฃู†ูŠ ุฃุทู„ุน ู„ู‚ูŠู…ุฉ ุงู„ inverse ุชูˆุง
2304
+
2305
+ 577
2306
+ 00:44:16,260 --> 00:44:19,960
2307
+ ุฃุฎุฏู†ุงู‡ุง ู„ุณู‡ ุนุดุงู† ุงูŠู‡ ุชูˆุง ุฃุฎุฏู†ุง ูƒูŠู ุจุฌูŠุจ ุงู„ inverse
2308
+
2309
+ 578
2310
+ 00:44:19,960 --> 00:44:22,660
2311
+ ุนุดุงู† ู…ุง ุชู‚ูˆู„ูŠุด ูƒูŠู ุจุฏู‡ ุฃุฌูŠุจู‡ุง ู‡ูŠุง ุชูˆุง ุฌุจู†ุงู‡ุง
2312
+
2313
+ 579
2314
+ 00:44:22,660 --> 00:44:25,200
2315
+ ูุจุชูŠุฌูŠ ุจุชุดูˆู ุจุณ ุงู„ greatest common denominator ุจูŠู†
2316
+
2317
+ 580
2318
+ 00:44:25,200 --> 00:44:28,480
2319
+ ุงู„ E ุงู„ู„ูŠ ุจุฏูƒ ุชุฌูŠุจู„ู‡ุง ุงู„ inverse ูˆู…ูŠู† ู…ุด ุงู„
2320
+
2321
+ 581
2322
+ 00:44:28,480 --> 00:44:34,850
2323
+ modulusู…ูˆุฏูŠู„ุณ ุฌุฏูŠุฏ ุงู„ู…ูˆุฏูŠู„ุณ ุงู„ุฌุฏูŠุฏ ู‡ุฐุง ู…ุด P ููŠ N
2324
+
2325
+ 582
2326
+ 00:44:34,850 --> 00:44:42,010
2327
+ ุจูŠ ููŠ Q ู‡ูŠ P ู†ุงู‚ุต ูˆุงุญุฏ ููŠ Q ู†ุงู‚ุต ูˆุงุญุฏ ุนุงูƒุจ
2328
+
2329
+ 583
2330
+ 00:44:42,010 --> 00:44:44,730
2331
+ ุงุญู†ุง ุจุฏู†ุง ู†ุณูŠุจ ุงู„ hacker ูŠุดุชุบู„ ุจุฑุงุญุชู‡ ู…ุด ู„ุงุฒู…
2332
+
2333
+ 584
2334
+ 00:44:44,730 --> 00:44:49,770
2335
+ ู†ุนุฌุจู„ู‡ ุงู„ุฏู†ูŠุง ูุจุฏูƒ ุชุดูุฑ ู„ุฃ ุนููˆุง ุงู„ูƒู„ุงู… ู‡ุฐุง ู…ุด ุงู†ุช
2336
+
2337
+ 585
2338
+ 00:44:49,770 --> 00:44:52,370
2339
+ ุงู„ู…ูˆุฌู‡ ุงูŠู‡ ุจุณ ุงู†ุช ุงู†ุช ุงู„ุขู† ุตุงุญุจ ุงู„ุนู„ู… ุงู„ู„ูŠ ุจุฏูƒ
2340
+
2341
+ 586
2342
+ 00:44:52,370 --> 00:44:57,030
2343
+ ุชูƒู…ู„ ุนู„ูŠู‡ ุทูˆุฑู‡ ู„ู†ุง ูŠุงู‡ ุจูƒุฑุง ุงู†ุช ุงู„ุขู† ุงู„ู…ู‡ู†ุฏุณ
2344
+
2345
+ 587
2346
+ 00:44:57,030 --> 00:44:59,050
2347
+ ุงู„ู…ุณุชู‚ุจู„ ุงู†ุช ุงู„ู„ูŠ ุจุฏูƒ ุชุนู…ู„ ุชุดููŠุฑู‡ ุจูƒุฑุง ุงู†ุช ุงู„ู„ูŠ
2348
+
2349
+ 588
2350
+ 00:44:59,050 --> 00:45:02,880
2351
+ ุจุฏูƒ ุชุดุชุบู„ุงู†ุช ุงู„ู„ูŠ ุจุฏูƒ ุชุนู…ู„ ุงูˆ ุงู†ูƒ ุชุตูŠุฑ hacker ุงู†ุช
2352
+
2353
+ 589
2354
+ 00:45:02,880 --> 00:45:07,260
2355
+ ุญุฑ ูŠุนู†ูŠ ุชู…ุงู… ููุนู„ูŠุง ุจุทู„ุน ุงู„ greatest common
2356
+
2357
+ 590
2358
+ 00:45:07,260 --> 00:45:10,440
2359
+ diverse equal to one ุนุดุงู† ุชุฌูŠุจ ู…ู†ู‡ุง ุงู„ inverse
2360
+
2361
+ 591
2362
+ 00:45:10,440 --> 00:45:14,020
2363
+ ู„ุงุญู‚ุง ุชุฌูŠุจ ู…ู†ู‡ุง ุงู„ inverse ุทูŠุจ ู‡ุชู†ุดูˆู ู†ูุณู‡ ูƒูŠู
2364
+
2365
+ 592
2366
+ 00:45:14,020 --> 00:45:19,420
2367
+ ูŠุฏูˆุณูŠุฑ ุงู„ูƒู„ุงู… ููŠ ุงุฎุชู„ูู‡ ููŠ ุงู„ู…ูˆุถูˆุน ู‡ุฐุง ุงู† ูƒูŠู ุงุนู…ู„
2368
+
2369
+ 593
2370
+ 00:45:19,420 --> 00:45:26,380
2371
+ ุนู…ู„ูŠุฉ ุงู„ representationู„ุฃ ุงู„ุญุฑูˆู ู‡ุฐู‡ ุนู…ู„ูŠุช ุชู…ุซูŠู„ู‡ุง
2372
+
2373
+ 594
2374
+ 00:45:26,380 --> 00:45:30,620
2375
+ ููŠ ู†ุงุณ ู…ุซู„ูˆู‡ุง ุฒูŠ ู…ุง ุนู…ู„ ุณูŠุฒุฑ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุดุชุบู„ ุนู„ูŠู‡
2376
+
2377
+ 595
2378
+ 00:45:30,620 --> 00:45:34,400
2379
+ ุนุดุงู† ุฃุจุณุท ุนุดุงู† ุงู†ุช ู…ู…ูƒู† ุชูู‡ู…ู‡ ุฃุณุฑุน ุงู†ูŠ ุฃู‚ูˆู„ ุงู„ S
2380
+
2381
+ 596
2382
+ 00:45:34,400 --> 00:45:38,720
2383
+ ู‡ุฐู‡ ุฌุฏุด ุชุฑุชูŠุจู‡ุง ููŠ ุงู„ุญุฑูˆู ุฑู‚ู… 18 ุงู„ T ูˆุฑุงู‡ุง ุนู„ู‰
2384
+
2385
+ 597
2386
+ 00:45:38,720 --> 00:45:45,140
2387
+ ุทูˆู„ 19 ู„ุงุญุธุŸ ุทูŠุจ ุงู„ O ุจุชูŠุฌูŠ 14 ุทุจ ุงู„ O ุจูŠู‡ ูˆุฑุงู‡ุง
2388
+
2389
+ 598
2390
+ 00:45:45,140 --> 00:45:48,560
2391
+ ุนู„ู‰ ุทูˆู„ ู…ุจุงุดุฑุฉ ุชูŠุฌูŠ 15 ูู…ู…ูƒู† ุฃุญุทู‡ุง ุจุงู„ location
2392
+
2393
+ 599
2394
+ 00:45:48,560 --> 00:45:52,580
2395
+ ุชุจุนู‡ุง ููŠ ุชุฑุชูŠุจ ุงู„ุญุฑูˆูููŠ ุทุฑู‚ ุชุงู†ูŠุฉ ุจุชู‚ูˆู„ูƒ ู„ุฃ ุจุฌูŠุจ
2396
+
2397
+ 600
2398
+ 00:45:52,580 --> 00:45:58,240
2399
+ ู‚ูŠู…ุชู‡ุง ุจุงู„ ask code ูˆ ุณุงุนุชู‡ุง ุจูุฑุฌ ู…ุนุงู†ุง ุงู„ small
2400
+
2401
+ 601
2402
+ 00:45:58,240 --> 00:46:03,410
2403
+ ุนู† ุงู„ capital ู…ุด ู‡ูŠูƒุงู„ู€ ASCII code ุจูŠูุฑุฌ ู…ู† ุงู„
2404
+
2405
+ 602
2406
+ 00:46:03,410 --> 00:46:06,530
2407
+ small ูˆ ุงู„ capital ู‡ู†ุง ู„ุญ ู†ูุฑุฌู†ุงุด ู‡ู†ุง ุจุณ ู…ุฌุฑุฏ ุงู†ูƒ
2408
+
2409
+ 603
2410
+ 00:46:06,530 --> 00:46:09,690
2411
+ ุจุชุนุทูŠูƒ ุงู„ concept ุงู†ูƒ ุชูู‡ู… ุจุณ ุทุฑูŠู‚ุฉ ูƒูŠู ู…ุงุดูŠุฉ ุฎู„ุงุต
2412
+
2413
+ 604
2414
+ 00:46:09,690 --> 00:46:12,850
2415
+ ุฃุฎุฏู†ุงู‡ุง ุชุฑุชูŠุจู‡ุง ุถู…ู† ุงู„ุญุฑูˆู ูุทู„ุน ุนู†ุฏูŠ ุงู† ุงู„ code
2416
+
2417
+ 605
2418
+ 00:46:12,850 --> 00:46:16,390
2419
+ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุจุนุชู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ ุดูุฑู„ู†ุงูŠุง ุนุดุงู† ู†ู‚ุฑู
2420
+
2421
+ 606
2422
+ 00:46:16,390 --> 00:46:19,650
2423
+ ู†ุจุนุชู‡ ุทูŠุจ ุจู†ุฌุณู…ู‡ ู„ groups ู…ูŠู† ุงู„ู„ูŠ ุจุญูƒู…ู†ูŠ ููŠ ุงู„
2424
+
2425
+ 607
2426
+ 00:46:19,650 --> 00:46:23,710
2427
+ groups ุนุงุฏุฉ ุงู† ุงู„ term ุงู„ู„ูŠ ุจุฏูŠ ุงุจุนุชู‡ ู‡ุฐุง ู„ุงุฒู…
2428
+
2429
+ 608
2430
+ 00:46:23,710 --> 00:46:28,530
2431
+ ูŠูƒูˆู† ุถู…ู† ุงู„ modulusูุงู„ู…ุฏุฑุณ ุงู„ู„ูŠ ุฃู†ุง ุจุณุชุฎุฏ ู…ุฌุฏุด
2432
+
2433
+ 609
2434
+ 00:46:28,530 --> 00:46:35,450
2435
+ 2400 ูŠุนู†ูŠ ุฃุฑุจุน ุฎู†ุงุช ุจูƒููŠ ููƒู„ ุฃุฑุจุน ุฎู†๏ฟฝ๏ฟฝุช ูŠุนู†ูŠ ูƒู„
2436
+
2437
+ 610
2438
+ 00:46:35,450 --> 00:46:40,890
2439
+ ุญุฑููŠู† ุจู‚ุงุด ุจุณูˆูŠู„ู‡ู… ุจุนู…ู„ู‡ู… encryption ู…ุน ุจุนุถ ูƒู„
2440
+
2441
+ 611
2442
+ 00:46:40,890 --> 00:46:43,690
2443
+ ุญุฑููŠู† ุจุนู…ู„ู‡ู… encryption ู…ุน ุจุนุถ ูˆ ุชูˆู‡ ุจุงู„ู…ุฑุฉ ุชูˆู‡ ุงู„
2444
+
2445
+ 612
2446
+ 00:46:43,690 --> 00:46:47,670
2447
+ .. ุงู„ hacker ุฃูƒุชุฑ ุงู‡ ุจู„ุงุด ุชุนู…ู„ู‡ู… ุญุฑู ุญุฑู ุงุนู…ู„ู‡ู…
2448
+
2449
+ 613
2450
+ 00:46:47,670 --> 00:46:51,370
2451
+ ุญุฑููŠู† ุงุฐุง ูˆุงู„ู„ู‡ ููŠู‡ู… .. ุงุนู…ู„ ุชู„ุชุฉ ูˆ ุฎุฑุจุชู‡ ู…ุด ุบู„ุท
2452
+
2453
+ 614
2454
+ 00:46:51,370 --> 00:46:58,340
2455
+ ู‡ู†ุง ุญุฑููŠู†ูุจุชุตูŠุฑ ูƒุฃู†ู‡ุง .. ูƒุฃู†ู‡ุง .. ู‡ุง 1819 ูƒุฃู†ู‡ุง
2456
+
2457
+ 615
2458
+ 00:46:58,340 --> 00:47:02,420
2459
+ 1819 ุนู„ู‰ ุทูˆู„ ุงู„ 1819 ุจุชุญุทู‡ุง ูƒุฃู†ู‡ุง M to the power
2460
+
2461
+ 616
2462
+ 00:47:02,420 --> 00:47:07,920
2463
+ 13 ูุฃุถุฑุจ 1819 to the power 13 ู‡ูŠุทู„ุน ุทุจุนุง ุฑู‚ู… ุถุฎู…
2464
+
2465
+ 617
2466
+ 00:47:07,920 --> 00:47:13,400
2467
+ ุฌุฏุง ู„ูƒู† modulus 2537
2468
+
2469
+ 618
2470
+ 00:47:13,400 --> 00:47:20,190
2471
+ ุฃูƒูŠุฏ ู‡ูŠุทู„ุน ุฃู‚ู„ ู…ู† ุงู„ 2537 ูุจุทู„ุน ู„ูƒูˆูŠู† ุฑุงุญุŸ ุจุทู„ุน
2472
+
2473
+ 619
2474
+ 00:47:20,190 --> 00:47:23,650
2475
+ ุนุดุฑูŠู† ูˆุงุญุฏ ุชู…ุงู†ูŠู† ุทุจุนุง ุญุชู‰ ู„ูˆ ุจุฏูƒุชูŠุด ุชุฑุชุจู‡ุง ู…ุงููŠุด
2476
+
2477
+ 620
2478
+ 00:47:23,650 --> 00:47:28,670
2479
+ ููŠ ุงู„ุชุฑุชูŠุจ ุงู„ุฑู‚ู… ูˆุงุญุฏ ุชู…ุงู†ูŠู† ููŠ ุงู„ุญุฑูˆู ูู‡ู†ุง ูˆุงุถุญ
2480
+
2481
+ 621
2482
+ 00:47:28,670 --> 00:47:31,670
2483
+ ุงู† ุงู„ message ุงุฎุชู„ูุช ุชู…ุงู…ุง ู†ูุณ ุงู„ูƒู„ุงู… ุจุชุนูŠุฏู‡ ู„ู…ู†ุŸ
2484
+
2485
+ 622
2486
+ 00:47:31,670 --> 00:47:33,910
2487
+ ู„ู„ุฃู„ู ูˆุงุฑุจุนู…ูŠุฉ ูˆุฎู…ุณุชุงุด ุฃู„ู ูˆุงุฑุจุนู…ูŠุฉ ูˆุฎู…ุณุชุงุด
2488
+
2489
+ 623
2490
+ 00:47:33,910 --> 00:47:37,210
2491
+ ู‡ุชุทู„ุนู„ูƒ ุฃู„ููŠู† ูˆู…ูŠุฉ ูˆุงุชู†ูŠู† ูˆุชู…ุงู†ูŠู† ู‡ุฐุง ุงู„ู„ูŠ ู‡ุชุจุนุชู‡
2492
+
2493
+ 624
2494
+ 00:47:37,210 --> 00:47:42,150
2495
+ ูุงู†ุช ู‡ุชุจุนุช ุงู„ุฑู‚ู… ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู†ุช ู‡ุชุจุนุช ุจู‡ุฐุง ุงู„ุฑู‚ู…
2496
+
2497
+ 625
2498
+ 00:47:42,150 --> 00:47:46,780
2499
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุชูู‡ู… ู…ู†ู‡ ุฃูŠ ุดูŠุกู…ุด ู‡ุชูู‡ู… ู…ู†ู‡ ุญุงุฌุฉ
2500
+
2501
+ 626
2502
+ 00:47:46,780 --> 00:47:51,300
2503
+ ุฅุทู„ุงู‚ุง ู…ุด ุญุฏ ูŠู‚ุฏุฑ ุชูู‡ู… ู…ู†ู‡ ุฅุดูŠ ุทู„ุน ูƒุฃุฑู‚ุงู… ุญุชู‰ ุทูŠุจ
2504
+
2505
+ 627
2506
+ 00:47:51,300 --> 00:47:55,640
2507
+ ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ูƒูŠู ู†ุฑุฌุน ู†ููƒู‡ุง ูƒูŠู ู†ุฑุฌุน ู†ููƒู‡ุง ุนุดุงู†
2508
+
2509
+ 628
2510
+ 00:47:55,640 --> 00:48:00,800
2511
+ ุชุฑุฌุน ุชููƒู‡ุง ู‡ู†ุงุฎุฏ ุฃุฑู‚ุงู… ุชุงู†ูŠุฉ ูˆ ู‡ุณูŠุจู„ูƒ ุทุจุนุง ููƒุฑุฉ
2512
+
2513
+ 629
2514
+ 00:48:00,800 --> 00:48:04,340
2515
+ ุฃู†ูƒ ุฃู†ุช ุฅุฐุง ู‡ูˆ ู†ูุณ ุงู„ุฃุฑู‚ุงู… ุชุฑุฌุน ุชููƒู‡ุง ู„ุญุงู„ูƒ ุจุณ
2516
+
2517
+ 630
2518
+ 00:48:04,340 --> 00:48:08,820
2519
+ ุงู„ุขู† ู‡ูุชุฑุถ ุฃู†ู‡ ูŠุฌูŠูƒ ุฑู‚ู… ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู‚ุงู„ูŠุฉ ู‡ูŠ ู‡ูŠ ูˆ
2520
+
2521
+ 631
2522
+ 00:48:08,820 --> 00:48:12,640
2523
+ ุจุฏูŠ ุฃุณุชุฎุฏู… ู†ูุณ ุงู„ P ูˆ ู†ูุณ ุงู„ Q ูˆ ู†ูุณ ุงู„ E ุงู„ E ู†ูุณ
2524
+
2525
+ 632
2526
+ 00:48:12,640 --> 00:48:18,360
2527
+ ุงู„ E ู†ูุณ ุงู„ Eู‡ูŠู‡ู… ู‡ู…ุง ู‡ู…ุง ุจุชุณุชุฎุฏู…ู‡ู… ู
2528
+
2529
+ 633
2530
+ 00:48:18,360 --> 00:48:23,060
2531
+ automatically ุจุฏูƒ ุชุฌูŠุจ ุงู„ inverse ู„ู…ูŠู† ู„ุชู„ุชุงุด ู…ุฏู„ู‡
2532
+
2533
+ 634
2534
+ 00:48:23,060 --> 00:48:28,860
2535
+ P ู†ุงู‚ุต ูˆุงุญุฏ ููŠ Q ู†ุงู‚ุต ูˆุงุญุฏ ูˆุงู„ู„ูŠ ู‡ูŠ ุฃูƒูŠุฏ ู…ุด ู‡ุชุณุงูˆูŠ
2536
+
2537
+ 635
2538
+ 00:48:28,860 --> 00:48:34,780
2539
+ ู†ูุณ ู‚ูŠู…ุฉ ุงู„ N ูˆุฅู†ู…ุง ู‡ุชุณุงูˆูŠ ุงุชู†ูŠู† ูˆุงุฑุจุนูŠู† ููŠ ุชู…ุงู†ูŠุฉ
2540
+
2541
+ 636
2542
+ 00:48:34,780 --> 00:48:37,240
2543
+ ูˆุฎู…ุณูŠู† ูุงู„ููŠู† ูˆุงุฑุจุนู…ูŠู† ู…ุด ุงู„ููŠู† ูˆุฎู…ุณู…ูŠุฉ ุณุจุนุฉ
2544
+
2545
+ 637
2546
+ 00:48:37,240 --> 00:48:40,160
2547
+ ูˆุชู„ุงุชูŠู† ุฒูŠ ุทูˆูŠ ู„ุฃ ุงู„ููŠู† ูˆุงุฑุจุนู…ูŠู† ุณุชุฉ ูˆุชู„ุงุชูŠู†
2548
+
2549
+ 638
2550
+ 00:48:40,160 --> 00:48:45,620
2551
+ ูุงุฎุชู„ูุช ุชู…ุงู…ุง ุจุชุฌูŠุจ ุงู„ inverseู„ู„ู€ 13 ุถู…ู† ุงู„ู…ุฏุฑุณ
2552
+
2553
+ 639
2554
+ 00:48:45,620 --> 00:48:51,480
2555
+ ู‡ุฐุง ุจูŠุทู„ุน 937 937 ู‡ูŠ ุงู„ู„ูŠ ู‡ุชุณุชุฎุฏู…ู‡ุง ู„ู„ power
2556
+
2557
+ 640
2558
+ 00:48:54,700 --> 00:48:59,320
2559
+ ูุจุฏูƒ ูƒู…ุจูŠูˆุชุฑ ูŠุดุชุบู„ูƒ ุนุดุงู† ู‡ูŠูƒ ูุนู„ุง ุงู„ุทุฑู‚ ู‡ุฐู‡ ูƒุงู†ุช
2560
+
2561
+ 641
2562
+ 00:48:59,320 --> 00:49:03,720
2563
+ ูƒู„ู‡ุง ุงู†ุดุฑุช ุจุนุฏ ุงู„ูƒู…ุจูŠูˆุชุฑ ูŠุนู†ูŠ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุงู„ RSA
2564
+
2565
+ 642
2566
+ 00:49:03,720 --> 00:49:07,920
2567
+ ู‡ุฐู‡ ูƒููƒุฑุฉ ูƒ concept ุจุฏุฃุช ููŠ ุงู„ุณุงุจุนุฉ ูˆุณุจุนูŠู† ุทุจุนุง
2568
+
2569
+ 643
2570
+ 00:49:07,920 --> 00:49:11,420
2571
+ ุงุฒุฏุงุฏุช ูˆุงุชุทุจู‚ุช ู„ู…ุง ุตุงุฑ ุงู„ูƒู…ุจูŠูˆุชุฑ ู…ู†ุชุดุฑ ูˆูˆุงุถุญ
2572
+
2573
+ 644
2574
+ 00:49:11,420 --> 00:49:15,040
2575
+ ูˆู…ูˆุฌูˆุฏ ูุนู„ุง ูุนู„ุง ู…ูˆุฌูˆุฏ ุงู†ู‡ ูŠุญุณุจ ูƒู„ ุงู„ุฌุซุซ ู‡ุฐู‡ ูˆูƒู„
2576
+
2577
+ 645
2578
+ 00:49:15,040 --> 00:49:20,420
2579
+ ู‚ูŠู…ู‡ุง ุฏูŠ ูุงู„ุงู† ุงู„ message ุงู„ู„ูŠ ู‡ูŠ ูƒุงู†ุช ุตูุฑ ุชุณุนุฉ
2580
+
2581
+ 646
2582
+ 00:49:20,420 --> 00:49:25,130
2583
+ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ุตูุฑ ุฃุฑุจุน ุณุชุฉ ูˆุงุญุฏC to the power ุงู„ุฑู‚ู…
2584
+
2585
+ 647
2586
+ 00:49:25,130 --> 00:49:29,750
2587
+ ุงู„ูƒุจูŠุฑ ู‡ุฐุง Modulus ู„ุฃู„ููŠู† ูˆ ุฎู…ุณู…ูŠุฉ ู„ุงุญุธ ุญุชู‰ ู‡ู†ุง
2588
+
2589
+ 648
2590
+ 00:49:29,750 --> 00:49:34,230
2591
+ ุฑุบู… ุฃู† ุฃู†ุง ู‡ุฐุง ุฌุจุชู‡ Modulus ู…ุฎุชู„ู ุจุณ ุงู„ Modulus
2592
+
2593
+ 649
2594
+ 00:49:34,230 --> 00:49:39,650
2595
+ ู‡ู†ุง ู„ุฃ ุฑุฌุนู†ุง ู„ู„ in ุฑุฌุนู†ุง ู„ ู…ูŠู† ู„ู„ in ุฑุฌุนู†ุงู‡ุง ุนุดุงู†
2596
+
2597
+ 650
2598
+ 00:49:39,650 --> 00:49:44,510
2599
+ ู†ุฑุฌุน ู„ ุตูุฑ ุณุจุนุฉ ุตูุฑ ุฃุฑุจุนุฉ ุงู„ message ุงู„ุชุงู†ูŠ ุตู„ุช 11
2600
+
2601
+ 651
2602
+ 00:49:44,510 --> 00:49:47,930
2603
+ 15 ูู‡ุฐุง ุจูŠุนุทูŠู†ูŠ ุงู„ sequence ุจู‡ุฐุง ุงู„ุดูƒู„ ุชุนุงู„ ุฌูŠุจ
2604
+
2605
+ 652
2606
+ 00:49:47,930 --> 00:49:49,290
2607
+ ุชุฑุชูŠุจ ู‡ูˆู† ุจุทู„ุน ูƒู„ู…ุฉ help
2608
+
2609
+ 653
2610
+ 00:49:55,940 --> 00:50:00,740
2611
+ ูƒู…ุงู†ุŸ ุจุณ ุนุดุงู† help ุนุดุงู† ู„ู…ุง ุชุจุนุช ู„ุงุฒู…ูŠู„ูƒ ุญุงุฌุฉ
2612
+
2613
+ 654
2614
+ 00:50:00,740 --> 00:50:03,800
2615
+ ู…ุงุญุฏุด ูŠุฎุชุฑู‚ู‡ุง ูˆ ู…ุงุญุฏุด ูŠุนุฑูุด ุงู„ู„ูŠ ุจุชุจุนุชู‡ ู„ู…ุง ุชุจุนุช
2616
+
2617
+ 655
2618
+ 00:50:03,800 --> 00:50:09,360
2619
+ message ู…ุงุญุฏุด ูŠุนุฑูุด ุงู„ู„ูŠ ุจุชุจุนุชู‡ ุจูŠุจุนุชู„ูƒ ุฃุฑู‚ุงู… ุฃุญุณู†
2620
+
2621
+ 656
2622
+ 00:50:09,360 --> 00:50:13,520
2623
+ ุจูŠุจุนุช ุฃุฑู‚ุงู… ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ุงู„ุขู† ู‡ู„ ู‡ูŠ ุชุฑุชูŠุจ ุงู„ุญุฑู
2624
+
2625
+ 657
2626
+ 00:50:13,520 --> 00:50:16,580
2627
+ ุฏุงุฎู„ ุงู„ sequence ุชุจุน ุงู„ุญุฑูˆู ุฃูˆ ู‡ูˆ ุงู„ ASCII code
2628
+
2629
+ 658
2630
+ 00:50:16,580 --> 00:50:17,000
2631
+ ุชุจุนู‡
2632
+
2633
+ 659
2634
+ 00:50:19,760 --> 00:50:22,860
2635
+ ุฎู„ู‘ูŠ ู‡ูˆ ูŠุฏูˆุฑ ุงู„ hacker ุจุณ ุงู†ุช ุจุชูƒูˆู† ุนุงุฑู ุงู†ุช ุจุชูƒูˆู†
2636
+
2637
+ 660
2638
+ 00:50:22,860 --> 00:50:25,600
2639
+ ุนุงุฑู ุงุด ุงู„ู„ูŠ ุจุงุนุชู‡ ุชู…ุงู… ูŠุนุทูŠ ูƒู„ ุนุงููŠุฉ ุงุญู†ุง ุจูŠูƒูˆู†
2640
+
2641
+ 661
2642
+ 00:50:25,600 --> 00:50:26,280
2643
+ ุฎู„ุงุตู†ุง
2644
+
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PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/YJtMKeajHsA_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
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@@ -0,0 +1,2516 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,520 --> 00:00:08,520
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู…ุŒ ุจุชูƒูˆู†ูˆุง ุนุงููŠุฉ ูŠุง ุดุจุงุจุŒ ุงู„ูŠูˆู… ุงู† ุดุงุก
4
+
5
+ 2
6
+ 00:00:08,520 --> 00:00:12,460
7
+ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุจู†ุจุฏุฃ ููŠ ู…ูˆุถูˆุน ุฌุฏูŠุฏ ู…ุงู„ุญุงุฌู†ู‡ูˆุด ู…ู† ุงู„ู…ุฑุฉ
8
+
9
+ 3
10
+ 00:00:12,460 --> 00:00:16,540
11
+ ุงู„ู…ุงุถูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ function ุจุญูŠุซ ุงู†ู‡ ุงู†ูƒู… ุจุฏุฃู†ุง
12
+
13
+ 4
14
+ 00:00:16,540 --> 00:00:20,060
15
+ ููŠู‡ ุฎู„ุงู„ ู‡ุฐุงุงู„ุฃุณุจูˆุน ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุจุนุฏ ู…ุง
16
+
17
+ 5
18
+ 00:00:20,060 --> 00:00:26,220
19
+ ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ sets ุฃุฎุฏู†ุง ุงู„ set ูƒ theory ุซู… ุฃุฎุฏู†ุง
20
+
21
+ 6
22
+ 00:00:26,220 --> 00:00:30,180
23
+ ุงู„ set ุจุงุณุชุฎุฏุงู… ุงู„ operations ุงู„ุฎุงุตุฉ ุจุงู„ sets
24
+
25
+ 7
26
+ 00:00:30,180 --> 00:00:34,480
27
+ ุงู„ูŠูˆู… ู‡ู†ุชูƒู„ู… ุนู† ุงู„ functions ูƒุฃุญุฏ ุงู„ุฃุฏูˆุงุช ุงู„ู…ู‡ู…ุฉ
28
+
29
+ 8
30
+ 00:00:34,480 --> 00:00:39,540
31
+ ุฌุฏุง ููŠ ุงู„ discrete math ููƒู„ ุญุงุฌุฉ ููŠ ุงู„ุฏู†ูŠุง ู…ู…ูƒู†
32
+
33
+ 9
34
+ 00:00:39,540 --> 00:00:44,290
35
+ ุงุชุนุงู…ู„ ู…ุนู‡ุงูƒ function ุชุญุฏูŠุฏุง ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:00:44,290 --> 00:00:48,470
39
+ ุฃุฎุฏู†ุงู‡ุง ุญุชู‰ ุงู„ุขู† ููŠ ุงู„ math ููŠ ูƒุชูŠุฑ ุดูˆุงู‡ุฏ ูˆ ููŠ
40
+
41
+ 11
42
+ 00:00:48,470 --> 00:00:51,930
43
+ ูƒุชูŠุฑ ุฃู†ูู„ุฉ ู„ููƒุฑุฉ ุงู„ function ุงู„ function ุงู„ู„ูŠ ู‡ูŠ
44
+
45
+ 12
46
+ 00:00:51,930 --> 00:00:55,830
47
+ ุจุจุณุงุทุฉ ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ุง ุงุฎุชุตุงุฑุง ููŠ ู…ุนุธู… ุงู„ูƒุชุจ ุจูŠุณู…ูˆู‡ุง F
48
+
49
+ 13
50
+ 00:00:55,830 --> 00:01:01,650
51
+ ูˆู„ูƒู† ู‡ูŠ ู…ุด ุญูƒุฑุฉ ุนู„ู‰ ุงู„ letter case F ุจุณ ู„ุญุงู„ู‡ ู„ุฃ
52
+
53
+ 14
54
+ 00:01:01,650 --> 00:01:05,950
55
+ ู‡ูŠ ู…ู…ูƒู† ุชูƒูˆู† ู„ุฃูŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ ู„ูƒู† ุจุณุชู…ุฑุงุฑ ุจูŠู‚ูˆู„ F
56
+
57
+ 15
58
+ 00:01:05,950 --> 00:01:09,230
59
+ ุนู„ู‰ ุฃุณุงุณ ุงู† ู‡ูŠ function ูˆู‡ุฐู‡ ุจุชุญุฏุฏู†ุง ุฃูˆ ุจุชุนูŠู†ู„ู†ุง
60
+
61
+ 16
62
+ 00:01:09,230 --> 00:01:18,260
63
+ ู„ูƒู„X ู‚ูŠู…ุฉ Y ู‡ุงูŠ ู…ุนู†ุงู‡ุง ูƒุฃู†ูƒ ุงู†ุช ุจุชุนู…ู„ mapping ุจูŠู†
64
+
65
+ 17
66
+ 00:01:18,260 --> 00:01:22,400
67
+ ู…ุฌู…ูˆุนุฉ ุฃุฑู‚ุงู… ุฃูˆ ู…ุฌู…ูˆุนุฉ ุฃุนุฏุงุฏ ุฃูˆ ู…ุฌู…ูˆุนุฉ in general
68
+
69
+ 18
70
+ 00:01:22,400 --> 00:01:26,240
71
+ objectsูˆุงุชูƒู„ู…ู†ุง ุฅู† ุฅุญู†ุง ุฏุงูŠู…ุง ู‡ู†ุญุงูˆู„ ู†ุฑูˆุญ ู„ู„
72
+
73
+ 19
74
+ 00:01:26,240 --> 00:01:31,320
75
+ general ุฅู† ู‡ูŠ ู…ุฌู…ูˆุนุฉ objects ูุจุนูŠู† ู„ูŠู‡ุŸ ู„ุฃูŠ ุญุฏ ู…ู†
76
+
77
+ 20
78
+ 00:01:31,320 --> 00:01:35,420
79
+ ู…ุฌู…ูˆุนุฉ ุงู„ objects ู‡ุฐู‡ ุญุฏ ู…ู† ู…ุฌู…ูˆุนุฉ objects ุชุงู†ูŠุฉุŒ
80
+
81
+ 21
82
+ 00:01:35,420 --> 00:01:39,140
83
+ ุจูŠุนู…ู„ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุŒ ุจูŠุนู…ู„ ุฑุงุจุท ุจูŠู†ู‡ู…ุŒ ูุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡
84
+
85
+ 22
86
+ 00:01:39,140 --> 00:01:42,220
87
+ ุฃูˆ ุงู„ relation ู‡ุฐู‡ ุจูŠูƒูˆู† ุงุณู…ู‡ุง function ุฅุฐุง ูƒุงู†
88
+
89
+ 23
90
+ 00:01:42,220 --> 00:01:47,190
91
+ relation ูˆุงุถุญุฉ ูˆ ุจุชุชุบูŠุฑุด ู…ุน ุงู„ุฒู…ู†ู…ุด ูƒู„ ู…ุง ุจุฏูŠ ุฃุนู…ู„
92
+
93
+ 24
94
+ 00:01:47,190 --> 00:01:49,950
95
+ ุงู„ function ูˆ ุฃุฏุฎู„ ู†ูุณ ุงู„ุฑู‚ู… ุฃูˆ ู†ูุณ ุงู„ object
96
+
97
+ 25
98
+ 00:01:49,950 --> 00:01:53,450
99
+ ุฃู„ุงู‚ูŠ object ู…ุฎุชู„ู ุจุชุทู„ุน ุฅุฐุง ูƒุงู† ุญุงูุธู†ุง ุนู„ู‰ ู†ูุณ ุงู„
100
+
101
+ 26
102
+ 00:01:53,450 --> 00:01:57,110
103
+ object ุจุงุณุชู…ุฑุงุฑ ูู‡ุฐู‡ ุจุชุตูŠุฑ relation ุซุงุจุชุฉ function
104
+
105
+ 27
106
+ 00:01:57,110 --> 00:02:02,350
107
+ ุชุตุจุญ ูƒุฃู†ู‡ุง ุฏุงู„ุฉ ูƒูˆูŠุณ ูู‡ุฐู‡ ุชุนุฑูŠูุฉ ุจุจุณุงุทุฉ ุฌุฏุง ุฃู†ู†ุง
108
+
109
+ 28
110
+ 00:02:02,350 --> 00:02:08,380
111
+ ุจู†ุนู…ู„ ุชุนูŠูŠู† ู„ูƒู„ ุฑู‚ู… Xูƒู„ ุฑู‚ู… X belong to real
112
+
113
+ 29
114
+ 00:02:08,380 --> 00:02:12,260
115
+ number a particular value ูŠูƒูˆู† ู„ู‡ particular value
116
+
117
+ 30
118
+ 00:02:12,260 --> 00:02:18,020
119
+ ูƒู†ุชูŠุฌุฉ ุงุณู…ู‡ุง Y ุงุณู…ู‡ุง Y ุงู„ Y ู‡ุฐู‡ ู‡ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† X
120
+
121
+ 31
122
+ 00:02:18,020 --> 00:02:24,460
123
+ applied ุนู„ูŠู‡ุงู„ุชุฃุซูŠุฑ ุจุชุงุน ุงู„ function ููƒุฃู†ู‡ ุทุจู‚ุช ุงู„
124
+
125
+ 32
126
+ 00:02:24,460 --> 00:02:28,600
127
+ function ู‡ู†ุง ุฏูŠ ุนู„ู‰ X ูุงู„ุชุฃุซูŠุฑ ุงู„ู„ูŠ ุธู‡ุฑ ุจุนุฏ ุชุทุจูŠู‚
128
+
129
+ 33
130
+ 00:02:28,600 --> 00:02:32,760
131
+ ุงู„ function ุนู„ู‰ X ู‡ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† value ุฌุฏูŠุฏุฉ ุงุณู…ู‡ุง
132
+
133
+ 34
134
+ 00:02:32,760 --> 00:02:37,180
135
+ Y ูุตุงุฑุช X ู…ุฑุจูˆุทุฉ ููŠ Y ูˆ ุจุฑุถู‡ Y ุงู„ู…ูุฑูˆุถ ุงู† ู‡ูŠ
136
+
137
+ 35
138
+ 00:02:37,180 --> 00:02:42,300
139
+ belong to R ู„ูƒู† ูุนู„ูŠุง ุงู„ function ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠ ู…ุด
140
+
141
+ 36
142
+ 00:02:42,300 --> 00:02:45,560
143
+ ู…ุฌุฑุฏ ุงู„ุฃุฑู‚ุงู… ุฃูˆ ุงู„ elements ุจุชุงุนุชู‡ุง ู…ู…ูƒู† ุชูƒูˆู† ุฃูŠ
144
+
145
+ 37
146
+ 00:02:45,560 --> 00:02:52,080
147
+ set ุงู‡ ุฑุฌุนู†ุง ู‡ู†ุง ู„ู…ูˆุถูˆุน ุงู„ set ุจู…ุนู†ู‰ู‡ู†ุง X ุฒูŠ ู…ุง
148
+
149
+ 38
150
+ 00:02:52,080 --> 00:02:55,680
151
+ ู‚ู„ู†ุง ู…ุด ุจุถุฑูˆุฑูŠ ุชูƒูˆู† ุฑู‚ู… ูู‚ุท ู…ู…ูƒู† ุชูƒูˆู† ุฃูŠ object ูˆ
152
+
153
+ 39
154
+ 00:02:55,680 --> 00:03:01,300
155
+ ูŠู†ุชู…ูŠ ู„ุฃูŠ set ู…ู…ูƒู† ูŠู†ุชู…ูŠ ู„ุฃูŠ set ู…ู† ุงู„ sets ุงู„ู„ูŠ
156
+
157
+ 40
158
+ 00:03:01,300 --> 00:03:04,620
159
+ ู…ู…ูƒู† ูŠุฎุทุฑ ุนู„ู‰ ุจุงู„ูƒ ูˆ ู†ูุณ ุงู„ูƒู„ุงู… ุจุญูŠุซ ุงู† ูŠูƒูˆู† ููŠ
160
+
161
+ 41
162
+ 00:03:04,620 --> 00:03:11,100
163
+ ุจูŠู†ู‡ู… ุนู„ุงู‚ุฉ ูˆ object ุขุฎุฑ ู…ูˆุฌูˆุฏ ุจุฑุถู‡ ูƒ Y belong to
164
+
165
+ 42
166
+ 00:03:11,100 --> 00:03:20,390
167
+ set ู…ุซู„ุง Tุชู…ุงู…ุŸ ุงูˆ ู†ูุณู‡ุง S ุงูˆ ู†ูุณู‡ุง S ู in general
168
+
169
+ 43
170
+ 00:03:20,390 --> 00:03:24,230
171
+ ุงูˆู„ ุดุบู„ ุงุญู†ุง ู…ุงุชุชุนุงู…ู„ุด ู…ุน ูู‚ุท numbers ุงู„ุดุบู„ ุงู„ุชุงู†ูŠ
172
+
173
+ 44
174
+ 00:03:24,230 --> 00:03:30,790
175
+ ู…ู…ูƒู† ูŠูƒูˆู† ุงูŠ set ุงุณุชุฎุฏู…ู‡ุง ู„ .. ูƒูุถุงุก ุนูŠู†ุฉ ู„ู…ุฌู…ูˆุนุฉ
176
+
177
+ 45
178
+ 00:03:30,790 --> 00:03:34,610
179
+ X ุงู„ู„ูŠ ุจุฏู‡ูŠ ุงุทุจู‚ ุนู„ูŠู‡ุง ุงู„ function ุงูˆ ุงุทุจู‚ ุนู„ูŠู‡ุง
180
+
181
+ 46
182
+ 00:03:34,610 --> 00:03:38,570
183
+ ุงู„ relation ุงู„ู„ูŠ ู‡ู†ุณู…ูŠู‡ุง function ูƒูˆูŠุณ ูู‡ุฐุง ู‡ูŠูƒ
184
+
185
+ 47
186
+ 00:03:38,570 --> 00:03:46,070
187
+ ุจุดูƒู„ ู…ุจุณุท ูƒู…ูุงู‡ูŠู… ูˆ ู†ูƒู…ู„ุดุบู„ู†ุง okay ุงู„ function
188
+
189
+ 48
190
+ 00:03:46,070 --> 00:03:49,770
191
+ formally ุจูŠูƒูˆู† ู‡ู†ุง ู…ุฏุงู… ุงุชูู‚ู†ุง ุนู„ู‰ sets ุงู†ู‡ ุจุฏู†ุง
192
+
193
+ 49
194
+ 00:03:49,770 --> 00:03:54,670
195
+ ู†ุงุฎุฏ ุงู„ู‚ูŠู… X ูˆุชุฃุซูŠุฑู‡ุง ู„ุงุฒู… ุจุฑุถู‡ ูŠูƒูˆู† ุถู…ู† ุงู„ set
196
+
197
+ 50
198
+ 00:03:54,670 --> 00:03:59,690
199
+ ูุจู†ู‚ุฏุฑ ู†ู‚ูˆู„ ุงู„ุงู† ุจุฏุงูŠุฉ ุชุนุฑูŠูู†ุง any sets A ูˆ B ุงู„
200
+
201
+ 51
202
+ 00:03:59,690 --> 00:04:03,690
203
+ function ู‡ุชูƒูˆู† F ุงู„ function F ุงู„ู„ูŠ ุฑู…ุฒู†ุงู‡ุง ุจ F
204
+
205
+ 52
206
+ 00:04:03,690 --> 00:04:08,170
207
+ ุนุณุงุณ ุงู† ู‡ูŠ function ู‡ุชูƒูˆู† ุจุชุนู…ู„ mapping between
208
+
209
+ 53
210
+ 00:04:08,170 --> 00:04:16,750
211
+ ุนู†ุงุตุฑ A ู„ุนู†ุงุตุฑ Bุนู†ุงุตุฑ A ู„ุนู†ุงุตุฑ B ู„ุฃู† A ุจุงู„ู†ุณุจุงู„ู†ุง
212
+
213
+ 54
214
+ 00:04:16,750 --> 00:04:24,290
215
+ ู‡ู†ุง ุจุงุฎุฏ ู…ู†ู‡ ู‚ูŠู… X ู„ ุงู„ function F of X ู X ู‡ุฐู‡
216
+
217
+ 55
218
+ 00:04:24,290 --> 00:04:30,370
219
+ ุจุงุฎุฏู‡ุง ู„ุงุฒู… ุชูƒูˆู† belong to capital A ุงู„ู†ุงุชุฌ ู‡ู†ุง
220
+
221
+ 56
222
+ 00:04:30,370 --> 00:04:35,130
223
+ ูƒู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ูุฑูˆุถ ูŠุณุงูˆูŠ Y Y ู‡ุฐู‡ ุงู„ู…ูุฑูˆุถ ุงู† ู‡ูŠ
224
+
225
+ 57
226
+ 00:04:35,130 --> 00:04:41,880
227
+ ุจุฑุถู‡ belong to Bto set B ูู‡ูŠ ู…ุด ู…ุฌุฑุฏ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ุจุณ
228
+
229
+ 58
230
+ 00:04:41,880 --> 00:04:46,140
231
+ ูƒู„ ุงู„ function ุงู„ result ู‡ุชูƒูˆู† ูู‚ุท ู‚ูŠู…ุฉ ูˆู„ุง ู‡ุชูƒูˆู†
232
+
233
+ 59
234
+ 00:04:46,140 --> 00:04:50,420
235
+ ู…ุฌู…ูˆุนุฉ ู‚ูŠู… ู…ุฌู…ูˆุนุฉ ุงู„ู‚ูŠู… ู‡ุฐู‡ ู…ุญุทูˆุทุฉ ุฏุงุฎู„ set ูุงู„
236
+
237
+ 60
238
+ 00:04:50,420 --> 00:04:53,740
239
+ set ุงุณู…ู‡ุง B ูู‡ู†ุง ุจู†ุณู…ูŠู‡ุง ู„ุฃูŠ A ูˆ B ุงู„ function
240
+
241
+ 61
242
+ 00:04:53,740 --> 00:05:00,240
243
+ ู‡ุชูƒูˆู† from A to B ุจู†ูƒุชุจู‡ุง ูƒุชุงู„ุฉ if ุงู„ function if
244
+
245
+ 62
246
+ 00:05:00,240 --> 00:05:08,780
247
+ from A to Bุจุชูƒุชุจ ุจู‡ุฐุง ุงู„ุดูƒู„ ูุฅุฐุง ุงู„ function f ูˆ
248
+
249
+ 63
250
+ 00:05:08,780 --> 00:05:12,280
251
+ ุงู„ู„ูŠ ุงุญู†ุง ุฑู…ุฒู†ุงู‡ุง ุจf ู…ู…ูƒู† ุชูƒุชุจู‡ุง ุฃูŠ ุนู†ุตุฑ ุขุฎุฑ ุงูŠ
252
+
253
+ 64
254
+ 00:05:12,280 --> 00:05:16,640
255
+ ุญุงุฌุฉ ุฌูŠ ุจุชูƒูˆู† ุชูƒุชุจู‡ ุฌูŠ ุงูˆ ุชูƒุชุจู‡ ุฌูŠ from capital a
256
+
257
+ 65
258
+ 00:05:16,640 --> 00:05:19,820
259
+ ู„ b ูุฎู„ุงุต ุจุนุฑู ุงู† ุงู„ function g ุงูˆ ุงู„ function f
260
+
261
+ 66
262
+ 00:05:19,820 --> 00:05:26,360
263
+ ู‡ุฐู‡ ู‡ูŠ ุนุจุงุฑุฉ ุนู† f of x y ุชุณูˆูŠ f of x ุจุญูŠุซ ุงู† x
264
+
265
+ 67
266
+ 00:05:26,360 --> 00:05:33,280
267
+ ู„ุงุฒู… ุชูƒูˆู† belong toSet A ูˆ Y ูƒู†ุชูŠุฌุฉ ู„ุงุฒู… ุชูƒูˆู† ุจุฑุถู‡
268
+
269
+ 68
270
+ 00:05:33,280 --> 00:05:39,320
271
+ belong to set B ุจุจุณุงุทุฉ ุฌุฏุงุŒ ู‡ุงูŠ ูƒู„ ุงู„ููƒุฑุฉุŒ ูุฅุฐุง
272
+
273
+ 69
274
+ 00:05:39,320 --> 00:05:45,000
275
+ ุนุฑูู†ุง ุงู„ functions ุจุฏู„ุงู„ุฉ ุงู„ sets ุชุจุนุชู‡ุงุŒ ุจุฏู„ุงู„ุฉ
276
+
277
+ 70
278
+ 00:05:45,000 --> 00:05:47,680
279
+ ุงู„ setsุŒ ู„ูŠุด ุจุฏู„ุงู„ุฉ ุงู„ setsุŸ ู„ุฅู† ููŠ ุฅู„ู‡ุง ู…ูู‡ูˆู…
280
+
281
+ 71
282
+ 00:05:47,680 --> 00:05:50,360
283
+ ู„ุญู‚ูŠู‚ุฉ ุงู„ setุŒ ู„ุฅู† ุจุจุณุงุทุฉ ุฌุฏุง ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ุง ุงู„
284
+
285
+ 72
286
+ 00:05:50,360 --> 00:05:54,210
287
+ domainุจู†ู‚ุฏุฑ ุงู„ุฃู† ู†ุชุนุงู…ู„ ุฃุฏู†ู‰ ูˆ ุฃู†ุชูˆุง ุฃุฎุฏุชูˆุง
288
+
289
+ 73
290
+ 00:05:54,210 --> 00:05:59,790
291
+ ุงู„ู…ุตุทู„ุญุฉ ุฏู‡ ู‚ุจู„ ู‡ูŠ ุงู„ domain ุฃูˆ ุงู„ู…ุฌุงู„ ุงู„ู…ุฌุงู„ ุชุจุน
292
+
293
+ 74
294
+ 00:05:59,790 --> 00:06:04,330
295
+ X ุชุจุน ู‚ูŠู… X ูˆ ุงู„ู…ุฌุงู„ ุชุจุน ู‚ูŠู… Y ู‡ุฐู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ
296
+
297
+ 75
298
+ 00:06:04,330 --> 00:06:10,430
299
+ domain ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† setู‡ูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุณุชุฉ ุชู…ุงู… ูู‡ูŠ
300
+
301
+ 76
302
+ 00:06:10,430 --> 00:06:13,570
303
+ ุงู„ุชุนุฑูŠู ุงู„ู…ุจุณุท ู„ู„ functions ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ ุงู„ุขู† ุนู„ู‰
304
+
305
+ 77
306
+ 00:06:13,570 --> 00:06:17,850
307
+ ุทูˆู„ ูู‡ุฐุง ุจุญุฏุฏู†ุง ุงู„ุญู‚ูŠู‚ุฉ ู…ู† ู‡ุฐุง ุงู„ุชุนุฑูŠู ุจูู‡ู… ู…ู†ู‡
308
+
309
+ 78
310
+ 00:06:17,850 --> 00:06:21,130
311
+ ุงู†ู‡ ุนู…ู„ assignment ุงูˆ ุนู…ู„ ุชุนูŠูŠู† exactly one
312
+
313
+ 79
314
+ 00:06:21,130 --> 00:06:26,890
315
+ element if of X belong to P ู„ูƒู„ element ู…ู† A ู„ูƒู„
316
+
317
+ 80
318
+ 00:06:26,890 --> 00:06:32,150
319
+ element ู…ู† A ูู‡ูˆ ุญุฏุฏู†ุง element ูˆ element ูˆุงุญุฏ ู…ู† B
320
+
321
+ 81
322
+ 00:06:33,580 --> 00:06:38,960
323
+ corresponding ุฃูˆ ูŠู…ุซู„ represented ู„ุนู†ุตุฑ ู…ู† ู…ูŠู† ู…ู†
324
+
325
+ 82
326
+ 00:06:38,960 --> 00:06:43,610
327
+ ุงูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู‚ูŠู…ุฉ Xุชู…ุงู… ูู‰ ู†ูุณ ุงู„ function f of x
328
+
329
+ 83
330
+ 00:06:43,610 --> 00:06:49,010
331
+ ุจุณ ุจุดูˆูŠุฉ ูู„ุณูุฉ ู‡ูŠูƒ ูู„ุณูู†ุงู‡ุง ุจุดูƒู„ sets ุจุดูƒู„ ุงู„ sets
332
+
333
+ 84
334
+ 00:06:49,010 --> 00:06:52,290
335
+ ุชุจุนุชู†ุง ุงู„ู„ู‰ ุงุญู†ุง ุฎุฏู†ุงู‡ุง ู„ุฃู† ู‡ุฏู‰ ู‡ุชุณุงุนุฏู†ุง ู„ุฌุฏุงู… ูู‰
336
+
337
+ 85
338
+ 00:06:52,290 --> 00:06:56,030
339
+ ุชุนุฑูŠู ุฃู…ูˆุฑ ูƒุชูŠุฑุฉ ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฏู‰ ู‡ุชุณุงุนุฏู†ุง ุจุชุนุฑูŠู ุฃู…ูˆุฑ
340
+
341
+ 86
342
+ 00:06:56,030 --> 00:06:58,950
343
+ ูƒุชูŠุฑุฉ ู…ุฌุฑุฏ ุงู† ุงู†ุง ุจู‚ุฏุฑ ู…ุฌู…ูˆุนุฉ elements ุงุญุทู‡ุง ุฏุงุฎู„
344
+
345
+ 87
346
+ 00:06:58,950 --> 00:07:03,590
347
+ set ุฎู„ุงุต ุจู‚ุฏุฑ ุงุนุฑู function ุงูˆ relation ุนู„ู‰ ุงุฎุฑ
348
+
349
+ 88
350
+ 00:07:03,590 --> 00:07:06,090
351
+ ุงู„ูุตู„ ู‡ู†ุชูƒู„ู… ุงู† ุงู„ู„ู‡ ููŠ ุนู†ุฏูŠ ุญุงุฌุฉ ุงุณู…ู‡ุง relation
352
+
353
+ 89
354
+ 00:07:06,090 --> 00:07:09,710
355
+ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ูƒุฐุง ูˆ ูƒุฐุง ุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ ุจุตูˆุฑุฉ ุงูˆ ุจุงุฎุฑุฉ
356
+
357
+ 90
358
+ 00:07:09,710 --> 00:07:15,610
359
+ ู‡ูŠ functionุชู…ุงู… ุชู…ุซูŠู„ู‡ุง ุดูƒู„ ุจุดูƒู„ ุงู„ุชู…ุซูŠู„ ุจู‚ุฏุฑ ุงู‚ูˆู„
360
+
361
+ 91
362
+ 00:07:15,610 --> 00:07:18,830
363
+ ุงู† ุนู†ุฏูŠ ู‡ูŠ ุงู„ Venn diagram ุจุงุณุชุฎุฏุงู… ุงู„ Venn
364
+
365
+ 92
366
+ 00:07:18,830 --> 00:07:21,830
367
+ diagram ู‡ูŠ ุนู†ุฏูŠ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃูˆู„ู‰ capital A ูˆู‡ูŠ
368
+
369
+ 93
370
+ 00:07:21,830 --> 00:07:25,430
371
+ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุชุงู†ูŠุฉ capital B ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ู…ู…ูƒู† ูŠูƒูˆู†
372
+
373
+ 94
374
+ 00:07:25,430 --> 00:07:30,070
375
+ ููŠ intersection between them ุงูˆ unjoined ุงูˆ
376
+
377
+ 95
378
+ 00:07:30,070 --> 00:07:34,770
379
+ unjoined ู…ู†ูุตู„ูŠู† ู„ูƒู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ู„ูŠ ุจู‡ู… ู†ู‚ุงุด ุงู†
380
+
381
+ 96
382
+ 00:07:34,770 --> 00:07:41,940
383
+ ูƒู„ ุนู†ุตุฑ ู…ู†Capital A ููŠู‚ู„ู‡ ู‚ุงุฑูŠู†ู‡ ููŠ B ู…ูŠู† ุงู„ู„ูŠ ุญุฏุฏ
384
+
385
+ 97
386
+ 00:07:41,940 --> 00:07:46,180
387
+ ู…ูŠู† ู‚ุงุฑู† ู…ูŠู† ุงู„ function ู‚ูŠู…ุฉ ุงู„ function ุนุดุงู† ู‡ูŠูƒ
388
+
389
+ 98
390
+ 00:07:46,180 --> 00:07:50,600
391
+ ุญุณุจ ู‚ูŠู…ุฉ ุงู„ function ู‡ุชุชุบูŠุฑ ู‚ูŠู…ุฉ B ุงู„ู„ูŠ
392
+
393
+ 99
394
+ 00:07:50,600 --> 00:07:54,620
395
+ corresponding ู„ A ุงู„ู„ูŠ corresponding ู„ A ุตุญูŠุญ ุงู†ุช
396
+
397
+ 100
398
+ 00:07:54,620 --> 00:07:57,280
399
+ ู…ู…ูƒู† ู†ูุณ ุงู„ุนู†ุตุฑ ูŠุฏุฎู„ู‡ ุนู„ู‰ ุงู„ function ุงู„ุฃูˆู„ู‰ ูŠุนุทูŠู‡
400
+
401
+ 101
402
+ 00:07:57,280 --> 00:08:00,320
403
+ ู‚ูŠู…ุฉ ุนู„ู‰ ุงู„ function ุงู„ุชุงู†ูŠุฉ ูŠุนุทูŠู‡ ู‚ูŠู…ุฉ ุชุงู†ูŠุฉูŠุนุทูŠูƒ
404
+
405
+ 102
406
+ 00:08:00,320 --> 00:08:05,240
407
+ ู‚ูŠู…ุฉ ุชุงู†ูŠุฉ ุชู…ุงู… ูุจู†ุฑุณู…ู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู…ุง if ู…ู† ุงู„
408
+
409
+ 103
410
+ 00:08:05,240 --> 00:08:09,680
411
+ set ูƒู„ู‡ุง ู„ู„ set ูƒู„ู‡ุง ุฎู„ุงุต ุจูู‡ู… ุงู† ุงู„ function if
412
+
413
+ 104
414
+ 00:08:09,680 --> 00:08:15,580
415
+ ู†ูุณ ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ูƒุชุจู†ุงู‡ ุชูˆู‡ ููƒุฃู†ูŠ ุจู‚ูˆู„ if from a
416
+
417
+ 105
418
+ 00:08:15,580 --> 00:08:21,960
419
+ to b from
420
+
421
+ 106
422
+ 00:08:21,960 --> 00:08:27,960
423
+ a to b ุงูˆ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ b ุชุณุงูˆูŠ f of a
424
+
425
+ 107
426
+ 00:08:30,540 --> 00:08:39,560
427
+ ุจุญูŠุซ ุงู† A belong to capital A and B belong to
428
+
429
+ 108
430
+ 00:08:39,560 --> 00:08:45,400
431
+ capital B ุจุณ ู‡ูŠ ูƒู„ ุทุฑูŠู‚ุฉ ุงู„ุฑุณู… ุจุงู„ Venn diagram ุฃูˆ
432
+
433
+ 109
434
+ 00:08:45,400 --> 00:08:54,060
435
+ ู…ู…ูƒู† ู†ุฑุณู…ู‡ุง bipartateby ุซู†ุงุฆูŠ ูˆ partit ุฌุฒุก ูุฌุฒุก
436
+
437
+ 110
438
+ 00:08:54,060 --> 00:09:02,980
439
+ ุซู†ุงุฆูŠ ุงูˆ ุจู†ุฌุฒู‚ู‡ุง ู„ุฌุฒุฆูŠู† ุฌุฒุก ุงูˆู„ ู‡ู… ุนู†ุงุตุฑ a ุฌุฒุก
440
+
441
+ 111
442
+ 00:09:02,980 --> 00:09:07,060
443
+ ุชุงู†ูŠ ุนู†ุงุตุฑ b ูˆ ุจู†ุนู…ู„ relation ุงู„ relation ู‡ุฐุง ุงูˆ
444
+
445
+ 112
446
+ 00:09:07,060 --> 00:09:12,860
447
+ ุงู„ุณู‡ู… ู‡ุฐุง from a to b ุงูˆ ุงูŠ element ู…ู† a ู„ element
448
+
449
+ 113
450
+ 00:09:12,860 --> 00:09:19,060
451
+ ู…ู† b ู…ูŠู† ุงู„ู„ูŠ ุญุฏุฏ ุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ุงู„ู€ function .. ุงู„ู€
452
+
453
+ 114
454
+ 00:09:19,060 --> 00:09:21,460
455
+ function ูุนู„ูŠุงู‹ ุงู„ู€ function ู‡ูˆ ุงู„ู„ูŠ ู‡ูŠ ู„ุบุงูŠุฉ ..
456
+
457
+ 115
458
+ 00:09:21,460 --> 00:09:24,900
459
+ ู„ุฃู† ุฃูˆู„ ุนู†ุตุฑ ู‡ู†ุง ุฅุฐุง ุทุจู‚ู†ุง ุนู„ูŠู‡ ุงู„ู€ function if
460
+
461
+ 116
462
+ 00:09:24,900 --> 00:09:28,720
463
+ ู‡ูŠุนุทูŠู†ุง ุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ู…ู† ุงู„ .. okay ู…ุงููŠุด ู…ุดูƒู„ุฉ
464
+
465
+ 117
466
+ 00:09:28,720 --> 00:09:30,840
467
+ ุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ุฅุฐุง ุทุจู‚ู†ุง ุนู„ูŠู‡ if ู‡ูŠุนุทูŠู†ุง ุงู„ุนู†ุตุฑ ..
468
+
469
+ 118
470
+ 00:09:30,840 --> 00:09:35,360
471
+ okay ู…ุงุดูŠ ูŠุทู„ุน ุงู„ู„ูŠ ูŠุทู„ุน ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ
472
+
473
+ 119
474
+ 00:09:35,360 --> 00:09:41,320
475
+ ุนู„ุงู‚ุฉ ุจูŠู† ู…ุฌู…ูˆุนุฉ ุงู„ุนู†ุงุตุฑ ุจุชุงุนุฉ a ูˆู…ุฌู…ูˆุนุฉ ุงู„ุนู†ุงุตุฑ ู„
476
+
477
+ 120
478
+ 00:09:41,320 --> 00:09:48,170
479
+ b ุฃูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฃุดู‡ุฑ ู„ plotX ูˆ Y ูˆ X belong to
480
+
481
+ 121
482
+ 00:09:48,170 --> 00:09:54,230
483
+ capital A ูˆ Y belong to capital B ูˆ ุจู†ุญุท ุงู„ู†ู‚ุงุช ู
484
+
485
+ 122
486
+ 00:09:54,230 --> 00:09:58,870
487
+ relation ุงู„ุขู† ู‡ูŠ ูุนู„ูŠุง ุจูŠู† A ูˆ B
488
+
489
+ 123
490
+ 00:10:02,700 --> 00:10:07,680
491
+ ุนู†ุฏ A ุชุทู„ุน B ู‡ุงุฏูŠุŒ ุนู†ุฏ A2 ุชุทู„ุน B ุชุงู†ูŠุŒ ุนู†ุฏ A3 ุชุทู„ุน
492
+
493
+ 124
494
+ 00:10:07,680 --> 00:10:11,660
495
+ B ุชุงู„ุชุฉุŒ ูˆ ู‡ูƒุฐุง ู„ู…ุง ููŠ ุงู„ุขุฎุฑ ู†ุญุทู‡ู… ูƒู†ู‚ุงุทุŒ ูƒุฃุฒูˆุงุฌ
496
+
497
+ 125
498
+ 00:10:11,660 --> 00:10:18,360
499
+ ู…ุฑุชุจุฉ ูˆ ู†ุนู…ู„ plot ูู‡ูŠ ุงู„ุชู„ุช ุทุฑู‚ ู„ุชู…ุซูŠู„ ุฃูŠ function
500
+
501
+ 126
502
+ 00:10:23,600 --> 00:10:26,340
503
+ Okay ุทูŠุจ ุงู„ functions ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ุขู† ูˆูŠู† ุดูู†ุงู‡ุง
504
+
505
+ 127
506
+ 00:10:26,340 --> 00:10:28,880
507
+ ุงู„ุญู‚ูŠู‚ุฉ ุงู„ู„ูŠ ุญุชู‰ ุงู„ุขู† ูƒู„ ุงู„ู„ูŠ ุฏุฑุณู†ุงู‡ ู…ู† ุฃูˆู„ ุงู„ูุตู„
508
+
509
+ 128
510
+ 00:10:28,880 --> 00:10:33,180
511
+ ุฅู„ู‰ ุงู„ุขู† ุจู‚ุฏุฑ ู†ู…ุซู„ู‡ ุจุดูƒู„ functions ู†ู‚ุฏุฑ ู†ู…ุซู„ู‡ ุจุดูƒู„
512
+
513
+ 129
514
+ 00:10:33,180 --> 00:10:36,400
515
+ functions ุงุจุชุฏุงุก ู…ู† ุงู„ proposition ุงู„ proposition
516
+
517
+ 130
518
+ 00:10:36,400 --> 00:10:40,680
519
+ ู‡ูˆ function ู…ู† ุฅูŠุด ู„ุฅูŠุด ู…ู† ู…ุนู†ุงุชู‡ ู‡ู†ุง ุจู†ุชูƒู„ู… ุนู†
520
+
521
+ 131
522
+ 00:10:40,680 --> 00:10:47,010
523
+ ุงู„ู„ูŠ ุจูŠู†ุชู…ูŠ ู„ุฅูŠู‡ to ุฅูŠุด ุจูŠู†ุชู…ูŠ ู„ุจุงู„ input ูˆ ุงู„
524
+
525
+ 132
526
+ 00:10:47,010 --> 00:10:51,570
527
+ output ูุฅุฐุง ู…ู…ูƒู† ู†ู…ุซู„ู‡ุง ูƒ function from situations
528
+
529
+ 133
530
+ 00:10:51,570 --> 00:10:56,330
531
+ to truth values ู„ู„ truth values ุฒูŠ ู„ู…ุง ุงู‚ูˆู„ ุงู†ู‡ ุงู„
532
+
533
+ 134
534
+ 00:10:56,330 --> 00:11:01,090
535
+ proposition P it's raining it's raining ุทุจุนุง ุงู†ุง
536
+
537
+ 135
538
+ 00:11:01,090 --> 00:11:07,230
539
+ ุงู„ูˆุถุน ุงู„ุนุงุฏูŠ ู…ุด ู‚ุงุฏุฑ ุงู‚ูˆู„ true ูˆู„ุง false ุตุญุŸ ู„ูƒู†
540
+
541
+ 136
542
+ 00:11:07,230 --> 00:11:12,770
543
+ ู„ูˆ ู‚ู„ุชู„ูŠ ุงู† ุงู„ situation ุงู† ุงุญู†ุง ููŠ ุดู‡ุฑ ูŠู†ุงูŠุฑ ูˆ
544
+
545
+ 137
546
+ 00:11:12,770 --> 00:11:18,850
547
+ ู…ุจุงุฑุญ ูƒุงู† ู…ุทุฑุจุฏุฃ ุฃู‚ูˆู„ูƒ yes to a true ุฃูˆ ุชุชุทู„ุน ู…ู†
548
+
549
+ 138
550
+ 00:11:18,850 --> 00:11:24,310
551
+ ุงู„ุดู…ุณ ุชู‚ูˆู„ูŠ ุงู„ situation ุงู†ู‡ ู…ุบูŠู…ุฉ cloudy ุฎู„ุงุต ุญูุธ
552
+
553
+ 139
554
+ 00:11:24,310 --> 00:11:28,110
555
+ ู…ุนู†ุงุชู‡ ุงู† ู‡ูŠ ู…ุบูŠู…ุฉ okay ู‡ุชูƒูˆู† ููŠ ู…ู‚ุฑ ุงูˆ drizzle
556
+
557
+ 140
558
+ 00:11:28,920 --> 00:11:33,060
559
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชู†ุฌุช ู…ู† ู†ู‚ุทุฉ ุฎููŠูุฉุŒ ุชู…ุงู…ุŸ ูุงู„ situation
560
+
561
+ 141
562
+ 00:11:33,060 --> 00:11:37,960
563
+ ู‡ู†ุง ุญุณุจ ู‚ูŠู…ุฉ ุงู„ situation ูุงู„ function ุงู„ู„ูŠ ู‡ูŠ ุงู„
564
+
565
+ 142
566
+ 00:11:37,960 --> 00:11:40,400
567
+ P ุฃูˆ ุงู„ proposition ุฃุตุจุญุช function ููŠ ุงู„
568
+
569
+ 143
570
+ 00:11:40,400 --> 00:11:43,360
571
+ situationุŒ ุญุณุจ ุงู„ situation ุงู„ู„ูŠ ุฃู†ุช ู‡ุชุญุทู†ูŠ ููŠู‡ุŒ
572
+
573
+ 144
574
+ 00:11:43,360 --> 00:11:50,060
575
+ ู‡ู‚ุฏุฑ ุฃู‚ูˆู„ูƒ ู‡ูŠ true ูˆู„ุง falseุŸูƒุงู† ู†ุงุชุฌ ู„ู„ function
576
+
577
+ 145
578
+ 00:11:50,060 --> 00:11:54,580
579
+ ูุงู„ function ุชุจุนุชูŠ ุฃุตุจุญุช ุงู„ F ู‡ูŠ ุงู„ P ุฃุตุจุญุช ู‡ูŠ ุงู„
580
+
581
+ 146
582
+ 00:11:54,580 --> 00:11:58,080
583
+ P ุงู„ function ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ situation ููŠ ุงู„
584
+
585
+ 147
586
+ 00:11:58,080 --> 00:12:00,680
587
+ situation ุชู‚ูˆู„ูŠ ูˆุงู„ู„ู‡ ู„ุฃ ุงุญู†ุง ููŠ ุดู‡ุฑ .. ููŠ ุนุฒูŠุฒูŠ
588
+
589
+ 148
590
+ 00:12:00,680 --> 00:12:04,940
591
+ ุดู‡ุฑ ุชู…ุงู†ูŠุฉ ู‡ู‚ูˆู„ูƒ false ุฎู„ุงุต false ู…ุนู†ุงุชู‡ ูˆ ุงุญู†ุง
592
+
593
+ 149
594
+ 00:12:04,940 --> 00:12:08,640
595
+ ุนุงุฑููŠู† ุงู† ุงุญู†ุง ููŠ ุบุฒุฉ ู…ุงููŠุด ู…ุทุฑ ููŠ ุดู‡ุฑ ุชู…ุงู†ูŠุฉ ุฎู„ุงุต
596
+
597
+ 150
598
+ 00:12:08,640 --> 00:12:13,850
599
+ ุญุณุจ ุงู„ situation ุจุชู‚ุฏุฑ ุชุญูƒู…ูˆ ุญุทูŠู†ุง ู‡ู†ุง belong to
600
+
601
+ 151
602
+ 00:12:13,850 --> 00:12:18,390
603
+ set ุนุฑูู†ุงู‡ุง ู‡ูŠ ุจ set ูˆ ุงู„ set ู‡ุงุฏ ุงุญู†ุง ู…ู† ุงู„ุฃุณุงุณ
604
+
605
+ 152
606
+ 00:12:18,390 --> 00:12:21,470
607
+ ุนุงุฑููŠู† ุงู†ู‡ ุงู„ outputs ุชุจุนู‡ุง true ุงูˆ false ูุด ุดูŠ
608
+
609
+ 153
610
+ 00:12:21,470 --> 00:12:25,490
611
+ ุชุงู„ุช ูุจู‚ุฏุฑ ู…ุจุงุดุฑุฉ ุงูƒุชุจู‡ู… ุจู‡ุฐุง ุงู„ุดูƒู„ ูƒูˆูŠุณ ุงู„
612
+
613
+ 154
614
+ 00:12:25,490 --> 00:12:30,670
615
+ propositional operator ู‡ูˆ ู†ูุณู‡ function ู‡ูŠ ู†ูุณู‡ุง
616
+
617
+ 155
618
+ 00:12:30,670 --> 00:12:34,070
619
+ function ูƒู„ ุงู„ operators ุงู„ู„ูŠ ุฎุฏู†ุงู‡ุง ุณุงุจู‚ุง ู‡ูŠ ุจุญุฏ
620
+
621
+ 156
622
+ 00:12:34,070 --> 00:12:38,600
623
+ ุฐุงุชู‡ุง function ูƒูŠูุŸุฒูŠ ู„ู…ุง ุงู‚ูˆู„ ู…ุซู„ุง ุจู†ุญุทู‡ุง ุทุจุนุง
624
+
625
+ 157
626
+ 00:12:38,600 --> 00:12:43,580
627
+ ุจุดูƒู„ ordered pairs ุงู„ peers ู‡ุฐู‡ ู…ู…ูƒู† ุงู‚ูˆู„ ุงู„
628
+
629
+ 158
630
+ 00:12:43,580 --> 00:12:48,740
631
+ operator ุงูˆ ุงู„ function this junction ู„ุฅูŠุด from
632
+
633
+ 159
634
+ 00:12:48,740 --> 00:12:55,840
635
+ from false to truefrom false to true ูŠุนู†ูŠ ูƒุฃู†ูŠ
636
+
637
+ 160
638
+ 00:12:55,840 --> 00:13:05,120
639
+ ุทุจู‚ุช ุงู„ operator ู‡ุฐู‡ ุนู„ู‰ two operands ุงู„ุฃูˆู„ false
640
+
641
+ 161
642
+ 00:13:05,120 --> 00:13:11,700
643
+ ูˆุงู„ุชุงู†ูŠ ุงู„ true ูู†ุชุฌู‡ุง ูƒุงู…ู„ุฉ ุงู„ true ุทูŠุจ ู„ูˆ ู‚ู„ู†ุง
644
+
645
+ 162
646
+ 00:13:11,700 --> 00:13:19,260
647
+ ุงู„ implication ูƒ operator ูƒ function applied from
648
+
649
+ 163
650
+ 00:13:19,260 --> 00:13:25,400
651
+ true to falsefalse ุทุจ ู„ูˆ ูƒุฏู‡ ุงู„ู„ูŠ ู‚ู„ุช applied from
652
+
653
+ 164
654
+ 00:13:25,400 --> 00:13:30,880
655
+ false to true true ูุงู„ุงู† ู‡ุฐู‡ ูˆุงุถุญุฉ ุงูƒุชุฑ ุงู† ู‡ุฐุง
656
+
657
+ 165
658
+ 00:13:30,880 --> 00:13:37,040
659
+ function ูŠุนู†ูŠ ุจูŠูุฑุฌ ู…ูŠู† ุงู„ู„ูŠ ุฌูˆุง ุงู„ function ู‡ุฐู‡
660
+
661
+ 166
662
+ 00:13:37,040 --> 00:13:40,700
663
+ ูƒุฃู†ู‡ ู„ูˆ ุจุชูุชุฑุถ ุงู† ู‡ุฐู‡ ุจุฏู„ ูƒู„ู…ุฉ if ู‡ุฐู‡ ุงู„ function
664
+
665
+ 167
666
+ 00:13:40,700 --> 00:13:47,980
667
+ ุทุจูŠุนุฉ ุงู„ function ูˆูƒุชุจุช from true ูˆ if ุจู‡ุฐุง ุงู„ุดูƒู„
668
+
669
+ 168
670
+ 00:13:49,830 --> 00:13:53,490
671
+ false ูุงู†ุง ุนุงุฑู ุงู†ู‡ ู‡ุฐู‡ ุจุชู‡ุง ุชุณุงูˆูŠ ู†ุชูŠุฌุฉ ุงู„ู„ูŠ ู‡ูŠ
672
+
673
+ 169
674
+ 00:13:53,490 --> 00:13:58,430
675
+ ุงู„ู…ูุฑูˆุถ y ุงูŠุด ุงู„ y false ุฃุตุจุญุช ูƒุฃู†ู‡ ู‡ุฐู‡ ุจุงู„ุธุจุท
676
+
677
+ 170
678
+ 00:13:58,430 --> 00:14:03,350
679
+ ุจุชู„ุนุจ ุฏูˆุฑ ุงูŠุด ุฏูˆุฑ function ูƒุฃู†ู‡ุง ู‡ูŠ ุงู„ function ุจุณ
680
+
681
+ 171
682
+ 00:14:03,350 --> 00:14:07,410
683
+ ููŠ ู„ู‡ุง two inputs ููŠ ู„ู‡ุง two inputs ูˆ ุงุญู†ุง ุฃุฎุฏู†ุง
684
+
685
+ 172
686
+ 00:14:07,410 --> 00:14:09,890
687
+ functions ุจ two inputs ู…ุด ู‡ูŠูƒ ู…ุงูƒู†ุด ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ
688
+
689
+ 173
690
+ 00:14:09,890 --> 00:14:12,270
691
+ ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ูŠูƒูˆู† ููŠ function ููŠู‡ุง two inputs ู…ุงูƒู†ุด
692
+
693
+ 174
694
+ 00:14:12,270 --> 00:14:17,290
695
+ ููŠู‡ุง ู…ุดูƒู„ุฉ ุฒูŠ ุงู„ f ูƒู†ุชูˆุง ุจุชุณู…ูˆู‡ุง x ูˆ y ุฎู„ูŠู‡ุง x
696
+
697
+ 175
698
+ 00:14:17,290 --> 00:14:22,380
699
+ ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู†X1 ูˆ X2 ุนุดุงู† ู†ุญุงูุธ ุจุณ ุงู† Y ู‡ุฏู„ ุงู„
700
+
701
+ 176
702
+ 00:14:22,380 --> 00:14:26,600
703
+ output ุฎุจุฒ ู‡ูŠ ู†ูุณ ุงู„ููƒุฑุฉ ุจุณ ุนุงุฏ ุฅูŠู‡ ุนุดุงู† ุจูŠูุฑุฌ ู…ู†
704
+
705
+ 177
706
+ 00:14:26,600 --> 00:14:30,920
707
+ X1 ูˆ X2 ููŠ ุนู…ู„ูŠุฉ ุฒูŠ ู‡ุฐู‡ ููŠ function ุฒูŠ ู‡ุฐู‡ ูŠู…ูƒู†
708
+
709
+ 178
710
+ 00:14:30,920 --> 00:14:36,760
711
+ ู‡ู†ุง ู…ุงูƒู†ุด ุจูŠูุฑุฌููŠ ุงู„ .. ุงู„ .. disjunction ุชู…ุงู… ูู‡ูŠ
712
+
713
+ 179
714
+ 00:14:36,760 --> 00:14:40,280
715
+ ููƒุฑุฉ ุงู„ function ููŠ ุงู„ .. ููŠ ุงู„ proposition
716
+
717
+ 180
718
+ 00:14:40,280 --> 00:14:45,840
719
+ operation ุทูŠุจ ููŠ ุงู„ predicate ุงูˆุถุญ ูˆ ุงูˆุถุญ ุงูƒุซุฑ
720
+
721
+ 181
722
+ 00:14:45,840 --> 00:14:48,100
723
+ ูˆุถูˆุญุง ู„ุงู† ุงุญู†ุง ุงุตู„ุง ู„ู…ุง ุนุฑูู†ุง ุงู„ predicate ู‚ูˆู„ู†ุง
724
+
725
+ 182
726
+ 00:14:48,100 --> 00:14:52,020
727
+ ุงู†ู‡ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ุชุบูŠุฑ ุจู†ุงุก ุนู„ูŠู‡ ุจู‚ุฏุฑ ุงุญุฏุฏ ุงู„
728
+
729
+ 183
730
+ 00:14:52,020 --> 00:14:54,500
731
+ proposition ุงู„ .. ุงู„ function ู‡ู„ ู‡ูŠ preposition
732
+
733
+ 184
734
+ 00:14:54,500 --> 00:14:58,540
735
+ ูˆู„ุง ู„ุฃ ุจุชุจู‚ู‰ ุงู„ predicateูˆ ุจู†ุงุก ุนู„ู‰ ุงู†ู‡ ุงุชุญูˆู„ุช ู„
736
+
737
+ 185
738
+ 00:14:58,540 --> 00:15:00,660
739
+ proposition ูˆุจู‚ุฏุฑ ุงุญูƒู… ุนู„ูŠู‡ุง ู‡ูŠ true ูˆู„ุง false
740
+
741
+ 186
742
+ 00:15:00,660 --> 00:15:05,580
743
+ ูุฅุฐุง ู‡ูŠ ุฃุตู„ุง ู„ู…ุง ุดุฑุญู†ุงู‡ุง ู‡ูŠ ูƒุงู†ุช ุฃุณุงุณุง function ู…ู†
744
+
745
+ 187
746
+ 00:15:05,580 --> 00:15:08,960
747
+ ุงู„ุฃุณุงุณ ูƒุงู† ุงูƒุซุฑ ู…ุซุงู„ ุงู† ู‡ูŠ function ูˆู…ู…ูƒู† ู†ู‚ุฏุฑ
748
+
749
+ 188
750
+ 00:15:08,960 --> 00:15:12,140
751
+ ู†ุญุทู‡ุง ุจุดูƒู„ function ูุงู„ predicate ูˆุงุถุญ ุฌุฏุง ุงู† ู‡ูŠ
752
+
753
+ 189
754
+ 00:15:12,140 --> 00:15:15,480
755
+ ู…ู…ูƒู† ุชูƒูˆู† function from objects to propositions
756
+
757
+ 190
758
+ 00:15:15,480 --> 00:15:20,740
759
+ from objects ุจู…ุนู†ู‰ ุญุณุจ ุงู„ object ุงู„ู„ูŠ ุจุนุทูŠู‡ ู‡ูŠ ู…ุด
760
+
761
+ 191
762
+ 00:15:20,740 --> 00:15:23,590
763
+ ุงุญู†ุง ูƒู†ุง ุจู†ุบูŠุฑ ุงู„ subject ุงูˆ ุงู„ objectู„ู„ู€
764
+
765
+ 192
766
+ 00:15:23,590 --> 00:15:26,870
767
+ predicateุŸ okay ู…ุนู†ุงุชู‡ ู…ู† ุงู„ู…ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„
768
+
769
+ 193
770
+ 00:15:26,870 --> 00:15:31,130
771
+ object ุงู„ู„ูŠ ุจุชุนุทูŠู‡ ู‡ูŠ to proposition ู„ูŠุดุŸ ู„ุฃู†ู‡
772
+
773
+ 194
774
+ 00:15:31,130 --> 00:15:35,310
775
+ ุจู†ุงุก ุนู„ูŠู‡ ู‡ูˆ ู‡ูŠู‚ูˆู„ true ูˆู„ุง false ู…ุฏุงู… ุฏู‡ true ูˆู„ุง
776
+
777
+ 195
778
+ 00:15:35,310 --> 00:15:38,270
779
+ false automatic ุตุฑุช proposition ุนุดุงู†ูƒ to
780
+
781
+ 196
782
+ 00:15:38,270 --> 00:15:43,130
783
+ proposition ุจู†ุณู…ูŠู‡ุง ูุงู„ู†ุชุฌ proposition ุตุญุŸ ุชู…ุงู…
784
+
785
+ 197
786
+ 00:15:43,130 --> 00:15:46,510
787
+ ูุฅุฐุง ู‡ุฐู‡ ูˆุงุถุญุฉ ุฌุฏุง ูˆ ุงู„ proposition ู…ุนู†ุงุชู‡ truth
788
+
789
+ 198
790
+ 00:15:46,510 --> 00:15:51,180
791
+ value ุฒูŠ ู…ุง ู‚ู„ู†ุง ูŠุง true ูŠุง falseู„ู…ุง ุฃู‚ูˆู„ ู…ุซู„ุง P
792
+
793
+ 199
794
+ 00:15:51,180 --> 00:15:59,360
795
+ is seven feet tall P ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ูŠูƒูˆู† ุทูˆู„ู‡ ุณุจุน ..
796
+
797
+ 200
798
+ 00:15:59,360 --> 00:16:04,200
799
+ ุณุจุน ู‚ุฏู… ุณุจุน ู‚ุฏู… ุจุชุชูƒู„ู… ุนู† ุชู„ุงุชูŠู† ูุงุตู„ุฉ ูˆุงุญุฏ ูŠุนู†ูŠ
800
+
801
+ 201
802
+ 00:16:04,200 --> 00:16:08,960
803
+ ุญูˆุงู„ูŠ ู…ุชุฑูŠู† ูˆ ุงุชู†ุงุด ุชู‚ุฑูŠุจุง ู…ุชูŠู† ู…ุชุฑูŠู† ูˆ ุงุชู†ุงุด
804
+
805
+ 202
806
+ 00:16:08,960 --> 00:16:13,800
807
+ ุณุงู†ุชูŠ ู…ุซู„ุง ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ุญูˆุงู„ูŠ ู…ุชุฑูŠู† ูˆ ุงุชู†ุงุด ุณุงู†ุชูŠ
808
+
809
+ 203
810
+ 00:16:13,800 --> 00:16:18,060
811
+ ุชู…ุงู… ู„ู…ุง ุฃู‚ูˆู„ P of Mike ูู‡ู†ุง ู‡ูŠู†ุนุฑูู†ุง ุงู„ object
812
+
813
+ 204
814
+ 00:16:19,410 --> 00:16:25,110
815
+ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุญุทู‡ ู‡ู†ุง mike is seven feet tall ู‡ู„ ุตุญูŠุญ
816
+
817
+ 205
818
+ 00:16:25,110 --> 00:16:27,790
819
+ ุงู„ูƒู„ุงู… ู‡ุฐุงุŸ ู…ู…ูƒู† ุณุงุนุชู‡ุง ุชู‚ูˆู„ ูŠุง force ูŠุง true ุนู„ู‰
820
+
821
+ 206
822
+ 00:16:27,790 --> 00:16:31,230
823
+ ุทูˆู„ ุชู…ุช ุชุชุทู„ุน ุทุจ ู…ุง ู‡ูˆ ุจู…ุฑุฌ ุนุงุฏูŠ ู…ู† ุงู„ุจุงุจ ูˆ ุงู„ุจุงุจ
824
+
825
+ 207
826
+ 00:16:31,230 --> 00:16:37,560
827
+ ุฃู‚ู„ ู…ู† ู…ุชุฑูŠู† ู…ุซู„ุง ูู„ุฃ ู…ุนู†ุงุชู‡ force ุตุญูŠุญุŸ ุชู…ุงู…false
828
+
829
+ 208
830
+ 00:16:37,560 --> 00:16:41,200
831
+ ูู‡ู†ุง ู†ู‚ุฏุฑ ู†ุนุฑูู‡ุง ุจุดูƒู„ ุจุณูŠุท ุทูŠุจ ู†ูุณู‡ุง ุงู„ function
832
+
833
+ 209
834
+ 00:16:41,200 --> 00:16:46,040
835
+ ุจู†ู‚ุฏุฑ ู†ุนุฑูู‡ุง ู„ู„ bit string bit string ู…ุฌู…ูˆุนุฉ bits
836
+
837
+ 210
838
+ 00:16:46,040 --> 00:16:51,180
839
+ ูˆุฑุจุนุงุช sequence of bits ู†ู‚ุฏุฑ ุจุฑุถู‡ ู†ุนุฑู ุงู„ bit
840
+
841
+ 211
842
+ 00:16:51,180 --> 00:16:55,720
843
+ string P of length N ุนุณุงุณ ุงู†ู‡ ู‡ูŠ ููŠ ุงู„ length N
844
+
845
+ 212
846
+ 00:16:55,720 --> 00:17:02,720
847
+ ูู‡ุฐู‡ string ุงู„ string ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ู…ู† ู…ุฌู…ูˆุนุฉ ุฃุฑู‚ุงู…
848
+
849
+ 213
850
+ 00:17:02,720 --> 00:17:05,700
851
+ ูŠุนู†ูŠ ู‡ู… ุญุงุทุทู‡ุง ู‡ู†ุง ุฎู„ูŠู†ุง ู†ูƒุชุจู‡ุง ุฒูŠ ู…ุง ู‡ูˆ ุจุฏูˆูŠุงู‡ุง
852
+
853
+ 214
854
+ 00:17:09,290 --> 00:17:13,790
855
+ ุงู„ุงู† ู‡ุงุฏู‰ ุงูŠุด ุงู„ู…ุนุฑู ุชุจุน ูƒู„ element ู…ู† ุงู„ elements
856
+
857
+ 215
858
+ 00:17:13,790 --> 00:17:19,410
859
+ ู‡ุฏูˆู„ุŸ ุงู„ location ุงุญู†ุง ู‚ูˆู„ู†ุง ุงู„ bit string ุจูŠู‚ุฑุฃ
860
+
861
+ 216
862
+ 00:17:19,410 --> 00:17:23,710
863
+ left to right ู…ุด ู‡ูŠูƒุŸ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ุงู†ุง ุนุงุฑู left
864
+
865
+ 217
866
+ 00:17:24,360 --> 00:17:27,740
867
+ to write ุงู† ู‡ุฐุง ุงู„ location ู‡ูˆ ุงู„ location ุงู„ุฃูˆู„
868
+
869
+ 218
870
+ 00:17:27,740 --> 00:17:32,160
871
+ ู„ูˆ ุงู„ array ู‡ุฐู‡ ู‚ุฏุงู…ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ array string
872
+
873
+ 219
874
+ 00:17:32,160 --> 00:17:36,600
875
+ array ุฒูŠ ุงู„ู„ูŠ ุฃุฎุฏุชูˆู‡ุง ููŠ ุงู„ุจุฑู…ุฌุฉ array okay array
876
+
877
+ 220
878
+ 00:17:36,600 --> 00:17:39,360
879
+ ุงู„ location ุงู„ุฃูˆู„ ูู‡ุฐุง ุงู„ location ุงู„ุฃูˆู„ ู‡ุฐุง ุงู„
880
+
881
+ 221
882
+ 00:17:39,360 --> 00:17:42,840
883
+ location ุงู„ุชุงู†ูŠ ุงู„ location ุงู„ุชุงู„ุช location ุฑุงุจุน
884
+
885
+ 222
886
+ 00:17:42,840 --> 00:17:47,400
887
+ ุงู„ position ุงู„ู„ูŠ ู…ุญุทูˆุทุฉ ููŠู‡ ูƒู„ element ู…ู† ุงู„
888
+
889
+ 223
890
+ 00:17:47,400 --> 00:17:51,650
891
+ elements ู‡ุฐู‡ ู‡ูŠ ู†ูุณู‡ุง ุงู„ Xู…ู…ูƒู† ุงุชุนุงู…ู„ ู…ุนุงู‡ุง ุงู† ู‡ูŠ
892
+
893
+ 224
894
+ 00:17:51,650 --> 00:17:56,050
895
+ ู†ูุณ ุงู„ X ูุงู„ X ุฃุตุจุญุช ุนู†ุฏูŠ ู…ู† ูˆุงุญุฏ to N ูˆุงุญุฏ to NุŒ
896
+
897
+ 225
898
+ 00:17:56,050 --> 00:17:59,930
899
+ ู…ุฏุงู… ุงุญู†ุง ุนุฑูู†ุง ุงู„ length ุชุจุนู‡ N ูุงูŠุฒุง ุงุจุชุฏุฃ ู…ู†
900
+
901
+ 226
902
+ 00:17:59,930 --> 00:18:03,030
903
+ ูˆุงุญุฏุŒ ู…ู† ุฃูˆู„ location ู„ maximum in location ู„ุฅู† ๏ฟฝ๏ฟฝูˆ
904
+
905
+ 227
906
+ 00:18:03,030 --> 00:18:07,150
907
+ ุฃุตู„ุง ุงู„ length ูƒู„ู‡ ุนู„ู‰ ุจุนุถู‡ N okay ุงู†ุชู‡ู‰ุŒ ูุจุชุธู‡ุฑ
908
+
909
+ 228
910
+ 00:18:07,150 --> 00:18:11,890
911
+ ุนู†ุฏูŠ ูƒ function ู…ู† number ู…ู† ูˆุงุญุฏ to N ู‡ุฐู‡ ุฃุดูŠู‡
912
+
913
+ 229
914
+ 00:18:13,480 --> 00:18:16,500
915
+ position ุงู„ position ู„ูƒู„ bit ู…ู† ุงู„ bits ุงู„ู„ูŠ
916
+
917
+ 230
918
+ 00:18:16,500 --> 00:18:20,780
919
+ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒ ูุฅุฐุง ุฃุนุฑูู„ูŠ ุงู„ location ุนุดุงู† ุฃุนุฑูู„ูƒ
920
+
921
+ 231
922
+ 00:18:20,780 --> 00:18:24,820
923
+ ุงู„ู‚ูŠู…ุฉ ุงู„ value ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ bit ุจุฏูˆู† ู‡ูŠูƒ ู…ุด ู‡ุนุฑู
924
+
925
+ 232
926
+ 00:18:24,820 --> 00:18:28,500
927
+ ุฃุนุฑูู„ูƒ ุฅูŠุงู‡ุง ุฃู‚ูˆู„ู„ูŠ ููŠ ุฃูŠ location ู…ูˆุฌูˆุฏุฉ ุจู‚ูˆู„ูƒ
928
+
929
+ 233
930
+ 00:18:28,500 --> 00:18:33,660
931
+ ุฅูŠุด ู‡ูŠ ุจุงู„ุธุจุท ู‚ูŠู…ุชู‡ุง ุฎู„ุงุต ูุฅุฐุง to the bit ุงู„ bit
932
+
933
+ 234
934
+ 00:18:33,660 --> 00:18:36,580
935
+ ู‡ุฐู‡ ุฃูƒูŠุฏ ูŠุง ุตูุฑ ูŠุง ูˆุงุญุฏ ู…ุฏุงู… ุฅุญู†ุง ุจู†ุชูƒู„ู… ู…ู† ุงู„ุฃุณุงุณ
936
+
937
+ 235
938
+ 00:18:36,580 --> 00:18:40,840
939
+ ุนู„ู‰ bit string ูˆ bit ูƒู„ู…ุฉ bit binary ุฎู„ุงุต bit
940
+
941
+ 236
942
+ 00:18:40,840 --> 00:18:46,120
943
+ ู…ุนู†ุงุชู‡ binary ุซู†ุงุฆูŠุฉ ุตูุฑ ูŠุง ูˆุงุญุฏุฒูŠ ุงู„ bit string
944
+
945
+ 237
946
+ 00:18:46,120 --> 00:18:52,100
947
+ 101 ูˆ ุจู‚ูˆู„ ู„ูƒ P of 3 ุงู„ P of 3 ู‡ุฐู‡ ูŠุนู†ูŠ ูƒุฃู†ูƒ ุจู‚ูˆู„
948
+
949
+ 238
950
+ 00:18:52,100 --> 00:18:55,040
951
+ ุงู„ location ุงู„ุชุงู„ุช ุงู†ุช ุงูŠุด ุนู„ู‰ ุทูˆู„ ู‡ุชู‚ูˆู„ู„ูŠู‡ ุจุชุณูˆูŠ
952
+
953
+ 239
954
+ 00:18:55,040 --> 00:18:57,480
955
+ ูˆุงุญุฏ ุงู†ูƒ ุญุงุชูŠุด ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุช ุงูŠุด ุงู„ู‚ูŠู… ุงู‡ ูˆุงุญุฏ
956
+
957
+ 240
958
+ 00:18:57,480 --> 00:19:02,500
959
+ ุฎู„ุงุต function ู‡ูŠู‡ุง ู‡ูŠ ุฃุตุจุญุช function ูˆ ุงู†ุชูˆุง ูุนู„ุง
960
+
961
+ 241
962
+ 00:19:02,500 --> 00:19:04,360
963
+ ูƒู†ุชูˆุง ุชุนู…ู„ูˆุง ู‡ุฐุง ุงู„ูƒู„ุงู… ููŠ ุงู„ุจุฑู…ุฌุฉ ุงู„ู„ูŠ ู…ุง ูƒู†ุชูˆุง
964
+
965
+ 242
966
+ 00:19:04,360 --> 00:19:08,460
967
+ ุชุจุฑู…ุฌูˆุง ุงู„ array ุงู†ุช ูƒู†ุช ุชุนุฑู ุงู„ element ุจุงู„
968
+
969
+ 243
970
+ 00:19:08,460 --> 00:19:11,900
971
+ location ุชุจุนู‡ ุตุญุŸ function ุงู†ุช ูƒู†ุช ูุนู„ุง ุจุชุจุฑู…ุฌ
972
+
973
+ 244
974
+ 00:19:11,900 --> 00:19:17,910
975
+ ูƒุฃู†ูƒ ุชุดุชุบู„ functionุชู…ุงู…ุŒ ุจุฑุถู‡ ููŠ ุงู„ sets ู†ูุณู‡ุง ุงู„
976
+
977
+ 245
978
+ 00:19:17,910 --> 00:19:21,930
979
+ set ู†ูุณู‡ุง ุงู„ universe of discourse U ู…ุซู„ุง ูุจู‚ุฏุฑ
980
+
981
+ 246
982
+ 00:19:21,930 --> 00:19:27,620
983
+ ุงู‚ูˆู„ ุงู†ู‡ ูƒ function from elements of Uุงู„ elements
984
+
985
+ 247
986
+ 00:19:27,620 --> 00:19:31,040
987
+ of you ู‡ู„ ุงู„ element ู…ูˆุฌูˆุฏ ููŠ ุงู„ you ูˆู„ุง ู…ุด ู…ูˆุฌูˆุฏ
988
+
989
+ 248
990
+ 00:19:31,040 --> 00:19:33,840
991
+ ูู‡ูŠู‚ูˆู„ ู„ูŠู‡ ุงู„ membership ู…ุชุฐูƒุฑูŠู† ุงู„ membership
992
+
993
+ 249
994
+ 00:19:33,840 --> 00:19:37,940
995
+ table ุฎู„ุงุต ูุฅุฐุง ุงู„ membership table ูŠุง ู…ูˆุฌูˆุฏ ูŠุง
996
+
997
+ 250
998
+ 00:19:37,940 --> 00:19:42,260
999
+ ุบูŠุฑ ู…ูˆุฌูˆุฏ belong ุฃูˆ not belong ูุฅู…ุง true ุฃูˆ false
1000
+
1001
+ 251
1002
+ 00:19:42,260 --> 00:19:50,120
1003
+ ุฅู…ุง true ุฃูˆ false ุฒูŠ S ุงู„ set S ุนุจุงุฑุฉ ุนู† set of
1004
+
1005
+ 252
1006
+ 00:19:50,120 --> 00:19:56,390
1007
+ three ุทูŠุจ ู„ู…ุง ุฃู‚ูˆู„ูƒ S of zeroูŠุนู†ูŠ ุจู…ุนู†ู‰ ู‡ู„ ุงู„
1008
+
1009
+ 253
1010
+ 00:19:56,390 --> 00:20:00,690
1011
+ element ุงู„ุตูุฑ ูŠู†ุชู…ูŠ ูˆู„ุง ู„ุง ูŠู†ุชู…ูŠุŸ ู„ุง ูŠู†ุชู…ูŠุŒ false
1012
+
1013
+ 254
1014
+ 00:20:00,690 --> 00:20:07,710
1015
+ ุทูŠุจ ุงู„ element three ูŠู†ุชู…ูŠ ู„ู„ุณุชุŸ three ุฃู‡ ูŠู†ุชู…ูŠ
1016
+
1017
+ 255
1018
+ 00:20:07,710 --> 00:20:11,990
1019
+ ูุนู„ุง ู‡ูˆ ุงู„ุฃู†ุตุฑ ุฃุตู„ุง ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู true ุทูŠุจ ุงู„ุชู…ุซูŠู„
1020
+
1021
+ 256
1022
+ 00:20:11,990 --> 00:20:16,490
1023
+ ู†ูุณู‡ ู‡ุฏุง ู‡ูŠูƒุฉ function ุชู…ุซูŠู„ ูƒุชู…ุซูŠู„ ู‡ูˆ ูุนู„ุง
1024
+
1025
+ 257
1026
+ 00:20:16,490 --> 00:20:21,410
1027
+ functionุฌูŠุฏ ู‡ุฐู‡ ุจุฑุถู‡ ูƒู†ุชูˆุง ุชุณุชุฎุฏู…ูˆู‡ุง ู†ูุณ ุงู„ุงุดูŠ
1028
+
1029
+ 258
1030
+ 00:20:21,410 --> 00:20:26,710
1031
+ ุจุงู„ุจุฑู…ุฌุฉ ู„ู…ุง ูƒู†ุช ููŠ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑ ุฏุงุฎู„ ุงู„
1032
+
1033
+ 259
1034
+ 00:20:26,710 --> 00:20:30,970
1035
+ database ูˆ ุจุฏูƒ ุชุนู…ู„ check ุนู„ูŠู‡ุง query ุนู„ูŠู‡ุง ู‡ู„ ู‡ูŠ
1036
+
1037
+ 260
1038
+ 00:20:30,970 --> 00:20:34,170
1039
+ ู…ูˆุฌูˆุฏุฉ ูˆู„ุง ู…ุด ู…ูˆุฌูˆุฏุฉ ุงู„ุนู†ุตุฑ ู…ูˆุฌูˆุฏ ูˆู„ุง ุบูŠุฑ ู…ูˆุฌูˆุฏ
1040
+
1041
+ 261
1042
+ 00:20:34,170 --> 00:20:39,050
1043
+ ุทูŠุจ ู†ูุณ ุงู„ููƒุฑุฉ ุฒูŠ ู…ุง ุนู…ู„ู†ุง ุชูˆ ููŠู‡ ุงู„ implication
1044
+
1045
+ 262
1046
+ 00:20:39,050 --> 00:20:43,590
1047
+ ูˆู‚ูˆู„ู†ุง ู‡ูŠ ู†ูุณ ุงู„ implication ูˆ ุงู„ disjoint ุงูˆ ุงู„
1048
+
1049
+ 263
1050
+ 00:20:43,590 --> 00:20:48,720
1051
+ disjunction ู‡ู… ู†ูุณู‡ู… function ุจุฑุถู‡ ููŠ ุงู„ setุงู„
1052
+
1053
+ 264
1054
+ 00:20:48,720 --> 00:20:52,960
1055
+ union ูˆ ุงู„ intersection ูˆ ุงู„ complement ุจุฑุถู‡ ู†ูุณ
1056
+
1057
+ 265
1058
+ 00:20:52,960 --> 00:20:57,060
1059
+ ุงู„ููƒุฑุฉ ุจู‚ุฏุฑ ุงุญุทู‡ู… ููŠ ุจุฏุงูŠุฉ ุงู„ุชุนุฑูŠู ูƒ function from
1060
+
1061
+ 266
1062
+ 00:20:57,060 --> 00:21:05,640
1063
+ a to a ุฒูŠ ู„ู…ุง ู†ู‚ูˆู„ ุงู„ intersection from ุงู„ 6 ูˆ 1 ูˆ
1064
+
1065
+ 267
1066
+ 00:21:05,640 --> 00:21:12,810
1067
+ 3 to 6 3 ูˆ 4 ุจุงู„ุธุจุท ุญูŠูƒูˆู† ุนู†ุฏูƒ ุชู„ุงุชุฉุงู„ุงุนุชุจุงุฑ ุงู†ุช
1068
+
1069
+ 268
1070
+ 00:21:12,810 --> 00:21:16,370
1071
+ ุจุชู‚ูˆู„ู‡ intersection ู…ุง ุจูŠู† ุฃู†ุตุฑูŠู† ูุงู„ุฃู†ุตุฑูŠู† ู‡ุฏูˆู„
1072
+
1073
+ 269
1074
+ 00:21:16,370 --> 00:21:20,070
1075
+ ู‡ู… ุงู„ู…ุชุบูŠุฑูŠู† ู„ู„ function ู‡ู„ ููŠ intersection ุจุฏูˆู†
1076
+
1077
+ 270
1078
+ 00:21:20,070 --> 00:21:23,550
1079
+ ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏู‡ two setsุŸ ู…ููŠุด ุงู†ุช ุจุฏู„ูƒ
1080
+
1081
+ 271
1082
+ 00:21:23,550 --> 00:21:26,390
1083
+ intersection ุงูˆ union ู…ุนู†ุงุชู‡ ู„ุงุฒู… ูŠูƒูˆู† ูŠุนุทูŠูƒ ุงูŠู‡
1084
+
1085
+ 272
1086
+ 00:21:26,390 --> 00:21:30,150
1087
+ ุงุด๏ฟฝ๏ฟฝ two sets ู…ุฌู…ูˆุนุชูŠู† ุนุดุงู† ูุนู„ุง ุงุฌูŠุจ ุงู„ operation
1088
+
1089
+ 273
1090
+ 00:21:30,150 --> 00:21:34,250
1091
+ ู‡ุงุฏูŠ ุงุดูˆู ุชุฃุซูŠุฑ ุงู„ operation ุญู‚ูŠู‚ุฉ ูƒูˆูŠุณ ูู…ุนู†ุงู‡ ุฐู„ูƒ
1092
+
1093
+ 274
1094
+ 00:21:34,250 --> 00:21:39,710
1095
+ ุจุงู„ู†ุณุจุงู„ูƒ ุงู†ุช ู‡ูŠ function ู…ุญุชุงุฌุฉ two inputsX1 X2
1096
+
1097
+ 275
1098
+ 00:21:39,710 --> 00:21:43,950
1099
+ ูู‡ู†ุง ุนุฑูู†ุง ู„ู‡ X ุฃูˆู„ู‰ ูˆ X ุชุงู†ูŠุฉ ุงู„ุขู† ุจูŠุทู„ู‚ ุงู„ู†ุชูŠุฌุฉ
1100
+
1101
+ 276
1102
+ 00:21:43,950 --> 00:21:49,390
1103
+ ุจุฏูˆู†ู‡ุง ู…ุงู„ูˆุด ู…ุนู†ู‰ ู„ุฃู†ู‡ ู‡ูŠุทู„ุญู‡ุง ู‡ูŠ ู‡ูŠ ูุฅุฐุง ู†ู‚ู„ู‡ุง ุฃูŠ
1104
+
1105
+ 277
1106
+ 00:21:49,390 --> 00:21:53,890
1107
+ ู…ุนู†ู‰ ุชู…ุงู… ูู‡ู†ุง ูˆุงุถุญุฉ ุชู„ุงุชุฉ ูˆุงุถุญุฉ ุฃูƒุชุฑ ุฃู†ู‡ ุงุญู†ุง
1108
+
1109
+ 278
1110
+ 00:21:53,890 --> 00:21:55,510
1111
+ ุจู†ุชุนุงู…ู„ ู…ุน function
1112
+
1113
+ 279
1114
+ 00:21:57,720 --> 00:22:01,660
1115
+ ุชู…ุงู… ุงู„ุงู† ุจุฏู†ุง ู†ุญุท ุดูˆูŠุฉ terminology ู„ ุงู„ function
1116
+
1117
+ 280
1118
+ 00:22:01,660 --> 00:22:04,560
1119
+ ู‡ุฐู‡ ุจุนุฏ ู…ุง ูู‡ู…ู†ุง ุงู† ูุนู„ุง ุญูŠุงุชู†ุง ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ู† ุฃูˆู„
1120
+
1121
+ 281
1122
+ 00:22:04,560 --> 00:22:09,060
1123
+ ุงู„ูุตู„ ุญุชู‰ ุงู„ู„ุญุธุฉ ูƒู„ ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ ู‡ู… ุจู†ู‚ุฏุฑ ุจูƒู„ ุจุณุงุทุฉ
1124
+
1125
+ 282
1126
+ 00:22:09,060 --> 00:22:11,840
1127
+ ู†ู…ุซู„ู‡ู… ุจุดูƒู„ functions ุงู„ุงู† ุจุฏู†ุง ู†ูู‡ู… ุงู„ function
1128
+
1129
+ 283
1130
+ 00:22:11,840 --> 00:22:18,440
1131
+ ุจุดูƒู„ู‡ุง ุงู„ู„ูŠ ุงู†ุชูˆุง ูƒู†ุชูˆุง ุชุงุฎุฏูˆู‡ ุญูˆู„ if function if
1132
+
1133
+ 284
1134
+ 00:22:18,440 --> 00:22:25,050
1135
+ from a to bู‡ุฐุง ู…ุนู†ุงู‡ ุงู† f of a ูˆ a ู„ุงุจุฏ ุชูƒูˆู†
1136
+
1137
+ 285
1138
+ 00:22:25,050 --> 00:22:30,270
1139
+ belong to capital A ุจุชุณุงูˆูŠ B ูˆ B ู„ุงุฒู… ุชุธู‡ุฑ ููŠ ุงู„
1140
+
1141
+ 286
1142
+ 00:22:30,270 --> 00:22:37,930
1143
+ set B ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู† capital A ุจูŠุณู…ูˆู‡ุง
1144
+
1145
+ 287
1146
+ 00:22:37,930 --> 00:22:45,210
1147
+ domain ู‡ุฐุง ุงู„ domain ูุฅุฐุง ุงู„ domain ู‡ูŠ ุงู„ set of
1148
+
1149
+ 288
1150
+ 00:22:45,210 --> 00:22:52,570
1151
+ input argumentู„ู„ู€ input argument ุฃูˆ ู„ู€ small a ุฃูŠ
1152
+
1153
+ 289
1154
+ 00:22:52,570 --> 00:22:57,370
1155
+ small a ู…ู…ูƒู†ุฉ ุฃูˆ ู…ู…ูƒู† ุชูƒูˆู† input ู„ู„ function ูู‡ูŠ
1156
+
1157
+ 290
1158
+ 00:22:57,370 --> 00:23:01,190
1159
+ ู„ุงุฒู… ุชูƒูˆู† ุชู†ุชู…ูŠ ู„ู„ domain ู„ุงุฒู… ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„
1160
+
1161
+ 291
1162
+ 00:23:01,190 --> 00:23:05,850
1163
+ domain ุฒูŠ ู„ู…ุง ูƒู†ุชูˆุง ุจุชุฑุณู…ูˆุง ุงู„ุฑุณู… ุงู„ุทุจูŠุนูŠ ุชุจุนูƒู…
1164
+
1165
+ 292
1166
+ 00:23:05,850 --> 00:23:14,120
1167
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† y ุชุณุงูˆูŠ f of xX ู‡ุฐุง ูƒู„ ู‡ุฐู‡
1168
+
1169
+ 293
1170
+ 00:23:14,120 --> 00:23:17,160
1171
+ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ู…ู…ูƒู† ุชุธู‡ุฑ ููŠู‡ุง ุงู„ function ุฃูˆ ู…ู…ูƒู†
1172
+
1173
+ 294
1174
+ 00:23:17,160 --> 00:23:21,100
1175
+ applied ุนู„ูŠู‡ุง ุงู„ function ูƒู„ู‡ุง ู‡ุฐู‡ ุงุณู…ู‡ุง domain
1176
+
1177
+ 295
1178
+ 00:23:21,100 --> 00:23:27,000
1179
+ ูƒู„ู‡ุง ุงุณู…ู‡ุง domain ุชู…ุงู… ููŠ ุงู„ู…ู‚ุงุจู„ B ุจูŠุณู…ูˆู‡ุง ุงู„
1180
+
1181
+ 296
1182
+ 00:23:27,000 --> 00:23:34,020
1183
+ code domain ุงู„ code domain ุงู„ู…ุฌุงู„ ุงู„ู…ู‚ุงุฑู† ุงู„ู„ูŠ ู‡ูˆ
1184
+
1185
+ 297
1186
+ 00:23:34,020 --> 00:23:37,300
1187
+ ู‡ูŠูƒูˆู† ู…ู‚ุชุฑู† ุจุงู„ domain ู†ูุณู‡ ูุนุดุงู† ู‡ูŠูƒ ุจูŠุณู…ูˆู‡ุง code
1188
+
1189
+ 298
1190
+ 00:23:37,300 --> 00:23:42,960
1191
+ ุงู„ู„ูŠ ู‡ูˆ ู…ู‚ุงุฑู† ุงู„ู…ู‚ุงุฑู† ู„ู„ domain ู†ูุณู‡ ูƒูˆูŠุณู„ุงุญุธ ุงู†
1192
+
1193
+ 299
1194
+ 00:23:42,960 --> 00:23:52,140
1195
+ ุงู†ุช ุจุชุนู…ู„ ู‡ู†ุง ุจูŠ ุชุณุงูˆูŠ f of a ุจูŠ ู‡ุฐู‡ ู‡ูŠ ุตูˆุฑุฉ ู„ู„
1196
+
1197
+ 300
1198
+ 00:23:52,140 --> 00:23:58,380
1199
+ input a ูุฅุฐุง ู‡ูŠ ุงู„ุตูˆุฑุฉ ู„ู„ pre image image ู†ุงุชุฌ
1200
+
1201
+ 301
1202
+ 00:23:58,380 --> 00:24:08,420
1203
+ ู…ู‚ุจู„ ุงู„ุตูˆุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุจูŠ ู‡ูŠ ุงู„ image of a ุจู†ุงุก ุนู„ู‰
1204
+
1205
+ 302
1206
+ 00:24:08,420 --> 00:24:14,650
1207
+ ุฅูŠุดุŸwith respect to F ุฃูˆ under F ุจุงู„ู†ุณุจุฉ ู„ F ูู…ุนู†ู‰
1208
+
1209
+ 303
1210
+ 00:24:14,650 --> 00:24:17,250
1211
+ ุฐู„ูƒ ุงู† ุงู„ image ุจูŠู‡ุง ุฏูŠ ู…ุด ุฏุงูŠู…ุง ู‡ุชูƒูˆู† ู†ูุณ ุงู„ุงุดูŠ
1212
+
1213
+ 304
1214
+ 00:24:17,250 --> 00:24:22,890
1215
+ ู„ูˆ ุงุนุทูŠุชู‡ุง A ุญุณุจ ุงู„ function ุญุณุจ ุงู„ function ุชุฑุจูŠุน
1216
+
1217
+ 305
1218
+ 00:24:22,890 --> 00:24:26,610
1219
+ ุบูŠุฑ ุชูƒุนูŠุจ ู…ุน ุฃู†ู‡ ุงู†ุง ุจูƒูˆู† ุจูŠุนุทูŠู‡ุง ู†ูุณ ุงู„ X ู„ูƒู†
1220
+
1221
+ 306
1222
+ 00:24:26,610 --> 00:24:31,490
1223
+ ุจุฎุชู„ู ุงู„ output ุทุจุนุง ุงู„ Y ุจู†ุงุก ุนู„ู‰ ุงู„ function
1224
+
1225
+ 307
1226
+ 00:24:31,490 --> 00:24:34,450
1227
+ ูุฅุฐุง ุงู„ function ุนุงู…ู„ ู…ุคุซุฑ ูƒูˆูŠุณ ุงู„ A ู‡ู†ุง ุจุชุตูŠุฑ
1228
+
1229
+ 308
1230
+ 00:24:34,450 --> 00:24:41,080
1231
+ ุงุณู…ู‡ุง ุงู„ pre imageุงู„ู€ Preimage of B under F ูู‡ุฐู‡
1232
+
1233
+ 309
1234
+ 00:24:41,080 --> 00:24:46,520
1235
+ ุงู„ู…ุนุทุฉ ุงู„ู„ูŠ ุฃู†ุชุฌ ุจูŠ ุนู„ู‰ ุงู„ function F ุจุงุณุชุฎุฏุงู… ุงู„
1236
+
1237
+ 310
1238
+ 00:24:46,520 --> 00:24:50,580
1239
+ function F ูู‡ูŠ ุตุงุฑุช ุงู„ Preimage ู…ุง ู‚ุจู„ ุงู„ุตูˆุฑุฉ ุงู„ู„ูŠ
1240
+
1241
+ 311
1242
+ 00:24:50,580 --> 00:24:55,520
1243
+ ุฃู†ุชุฌุชู†ุง ุงู„ุตูˆุฑุฉ ุจุงุณุชุฎุฏุงู… ุงู„ function F ุทูŠุจ ู in
1244
+
1245
+ 312
1246
+ 00:24:55,520 --> 00:24:59,600
1247
+ general we may have more than one Preimage
1248
+
1249
+ 313
1250
+ 00:25:01,740 --> 00:25:05,640
1251
+ ูุฅุฐุง ุงู„ image ู…ู…ูƒู† ูŠูƒูˆู†ู‡ุง ุฃูƒุชุฑ ุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู†ู‡ุง ุฃูƒุชุฑ
1252
+
1253
+ 314
1254
+ 00:25:05,640 --> 00:25:09,940
1255
+ ู…ู† preimage ุตุญูŠุญ ุงู„ูƒู„ุงู… ู‡ุฐุงุŸ ุตุญูŠุญ ุตุญูŠุญ ุฌุฏุงุŒ ู‡ุงูŠ
1256
+
1257
+ 315
1258
+ 00:25:09,940 --> 00:25:18,020
1259
+ ู…ุซุงู„ ู‡ุงูŠ
1260
+
1261
+ 316
1262
+ 00:25:18,020 --> 00:25:25,060
1263
+ X ูˆุงุญุฏุŒ ู‡ุงูŠ X ุงุชู†ูŠู†ุŒ ูˆูƒู„ู‡ู…ุง ู„ู‡ู… ู†ูุณ ุงู„ Y ูู‡ูŠ ู…ุด
1264
+
1265
+ 317
1266
+ 00:25:25,060 --> 00:25:29,910
1267
+ imageุŒ image ู„ู‡ุง two preimageุงู„ู‡ุง two preimage ุทูŠุจ
1268
+
1269
+ 318
1270
+ 00:25:29,910 --> 00:25:35,750
1271
+ ู…ุซุงู„ ุชุงู†ูŠ ูƒุงู† ู‚ุงู„ู„ูŠ ู…ุนู†ุงุชู‡ ุงู† ู‡ูŠ two preimage ู…ุซู„ุง
1272
+
1273
+ 319
1274
+ 00:25:35,750 --> 00:25:41,530
1275
+ ูˆ ุฎู„ุงุต ู„ุฃ ู‡ูŠ ุงูƒุชุฑ ู…ู† ู‡ูŠูƒ ุฒูŠ
1276
+
1277
+ 320
1278
+ 00:25:41,530 --> 00:25:46,780
1279
+ sinusoidal ู…ุซู„ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ periodic functionsู‡ุฐู‡
1280
+
1281
+ 321
1282
+ 00:25:46,780 --> 00:25:50,620
1283
+ ุนุฏุฏ ู„ู†ู‡ุงุฆูŠ ุงู„ู„ูŠ ู„ู‡ุง ู…ู† ุงู„ pre images ู…ุด ู‡ูŠูƒ ู…ุด pre
1284
+
1285
+ 322
1286
+ 00:25:50,620 --> 00:25:54,740
1287
+ image ูˆุงุญุฏุฉ ุชู…ุงู… ูุฅุฐู† ุงู‚ุชู†ุนู†ุง ุจู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ูุงู‡ู…ูŠู†ู‡ุง
1288
+
1289
+ 323
1290
+ 00:25:54,740 --> 00:26:00,860
1291
+ ู…ูู‡ูˆู… ู…ุด ู…ุดูƒู„ุฉ ุงู„ range ุงู„ range ุงู„ุฃู† ุงู„ range ู‡ูŠ
1292
+
1293
+ 324
1294
+ 00:26:00,860 --> 00:26:06,360
1295
+ ุนุจุงุฑุฉ ุนู† set R subset ู…ู† B ูู‡ูŠ ุฌุฒุก ู…ู† ุงู„ code
1296
+
1297
+ 325
1298
+ 00:26:06,360 --> 00:26:11,860
1299
+ domain ุจุณ ู‡ุฐู‡ ุงู„ุฌุฒุก ุงู„ุญู‚ูŠู‚ูŠ ู„ู„ function ู…ู† ุงู„ code
1300
+
1301
+ 326
1302
+ 00:26:11,860 --> 00:26:16,170
1303
+ domain ุจู…ุนู†ู‰ู„ูˆ .. ู„ูˆ ุฃู†ุง ุจุชูƒู„ู… ุนู† ุงู„ function f
1304
+
1305
+ 327
1306
+ 00:26:16,170 --> 00:26:22,130
1307
+ ู‡ุฐู‡ ู‡ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† set of B ู„ุงุญุธ set of B ูู‡ูŠ
1308
+
1309
+ 328
1310
+ 00:26:22,130 --> 00:26:27,230
1311
+ ุนู†ุงุตุฑ ุงู„ .. ุงู„ B ุงู„ images ุงู„ุตูˆุฑ ู‡ุฐู‡ ูˆุงุถุญ ุงู† ู‡ูŠ ุงู„
1312
+
1313
+ 329
1314
+ 00:26:27,230 --> 00:26:36,610
1315
+ images ุจุดุฑุท ุงู† ูŠูˆุฌุฏ A ู„ุฅู†ุชุงุฌ B ูŠูˆุฌุฏ A ู„ูˆ ุทุจู‚ุช ุนู„ูŠู‡
1316
+
1317
+ 330
1318
+ 00:26:36,610 --> 00:26:41,890
1319
+ ุงู„ function ุชุทู„ุน B ุชุทู„ุน B ุฃุญูŠุงู†ุง ููŠ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุฒูŠ
1320
+
1321
+ 331
1322
+ 00:26:41,890 --> 00:26:49,950
1323
+ ู‡ู†ุงู…ุด ูƒู„ ุงู„ ุจูŠุฒ ุชุธู‡ุฑ ู…ุนุงู‡ ู‡ุงูŠ ุงู„ุตูˆุฑุฉ ูˆุงุถุญุฉ ุจูŠ in
1324
+
1325
+ 332
1326
+ 00:26:49,950 --> 00:26:57,450
1327
+ general ุงู„ capital P ุจู‚ูˆู„ ุฅู† ู‡ูŠ real number ุฃูˆ
1328
+
1329
+ 333
1330
+ 00:26:57,450 --> 00:27:00,810
1331
+ exactly ุญุชู‰ ุงู„ real number ู‡ูŠู‡ุง ู…ู† minus infinity
1332
+
1333
+ 334
1334
+ 00:27:00,810 --> 00:27:06,590
1335
+ to infinity in general ู„ูƒู† actual ุงู„ู†ุชุงุฆุฌ ุงู„ุญู‚ูŠู‚ูŠุฉ
1336
+
1337
+ 335
1338
+ 00:27:06,590 --> 00:27:13,340
1339
+ ู„ู„ small ุจูŠ ุชุจุฏุฃ ู…ู† ุตูุฑุตุญ ูุนู„ูŠุง ุจุชุจุฏุฃ ู…ู† ุตูุฑ ูู‡ุฐู‡
1340
+
1341
+ 336
1342
+ 00:27:13,340 --> 00:27:16,540
1343
+ ุจุชุฎู„ู ุญุณุจ ุงู„ function ูู‡ู†ุง ุฃู†ุง ุจุชุนู…ู„ ุฑุบู… ุฃู†ู‡
1344
+
1345
+ 337
1346
+ 00:27:16,540 --> 00:27:21,080
1347
+ ุงุณุชุฎุฏู…ู†ุง ู‡ู†ุง ูƒู„ ุงู„ุนู†ุงุตุฑ ููŠ ุงู„ domain ู…ู† minus
1348
+
1349
+ 338
1350
+ 00:27:21,080 --> 00:27:24,120
1351
+ infinity to infinity ู„ูƒู† ููŠ ุงู„ key domain ู…ุงุธู‡ุฑุชุด
1352
+
1353
+ 339
1354
+ 00:27:24,120 --> 00:27:28,120
1355
+ ูƒู„ู‡ุง ุธู‡ุฑ ูู‚ุท ู…ู† ุงู„ุตูุฑ to infinity ุทุจ ูˆ ุงู„ุฌุฒุก
1356
+
1357
+ 340
1358
+ 00:27:28,120 --> 00:27:34,180
1359
+ ุงู„ุณุงู„ุจ ู…ุงุธู‡ุฑุด ู„ุงูŠูˆุฌุฏ ุฃูŠ ุนู†ุตุฑ ุจูŠุธู‡ุฑ ุฃุตู„ุง ูŠุนู†ูŠ ู…ุงููŠุด
1360
+
1361
+ 341
1362
+ 00:27:34,180 --> 00:27:42,200
1363
+ ุนู†ุฏูƒ ุฃูŠ ุนู†ุตุฑ A ู‡ู†ุงู‡ูŠุธู‡ุฑู„ูƒ ุจุงู„ุณุงู„ุจ ูู„ุงุจุฏ ุงู† ูŠูƒูˆู†
1364
+
1365
+ 342
1366
+ 00:27:42,200 --> 00:27:45,740
1367
+ ุงู„ุนู†ุงุตุฑ ุนุดุงู† ุงู‚ูˆู„ ุงู† ู‡ุฐู‡ ุงุณู…ู‡ุง range ู„ุงุจุฏ ุงู† ูŠูƒูˆู†
1368
+
1369
+ 343
1370
+ 00:27:45,740 --> 00:27:53,260
1371
+ ุงู„ุนู†ุตุฑ ููŠ ุนู†ุตุฑ ุจุฑูŠ ุฅู…ุฌ ุฅู„ู‡ ุจู‚ุฏุฑ ูŠู†ุชุฌู‡ุจูŠู‚ุฏุฑ ูŠู†ุชุฌูˆุง
1372
+
1373
+ 344
1374
+ 00:27:53,260 --> 00:27:58,420
1375
+ ูู‡ู†ุง ูƒู„ ู…ุง ูŠุชู… ุฅู†ุชุงุฌู‡ ูุนู„ูŠุง ุญู‚ูŠู‚ุฉ ุจู†ุญุทู‡ ูƒู„ู‡ ููŠ ุณุช
1376
+
1377
+ 345
1378
+ 00:27:58,420 --> 00:28:02,860
1379
+ ูˆุงุญุฏุฉ ุจู†ุณู…ูŠู‡ุง range ูˆ ุงู„ range ุฃูƒูŠุฏ ู‡ุชูƒูˆู† ู…ุฌู…ูˆุนุฉ
1380
+
1381
+ 346
1382
+ 00:28:02,860 --> 00:28:06,640
1383
+ ุฌุฒุฆูŠุฉ ู…ู† ุงู„ code domain ู‚ุฏ ูŠูƒูˆู† ุงู„ code domain ูƒู„ู‡
1384
+
1385
+ 347
1386
+ 00:28:06,640 --> 00:28:10,160
1387
+ ูˆ ู‚ุฏ ุชูƒูˆู† ู…ุฌู…ูˆุนุฉ ุฌุฒุฆูŠุฉ ุฒูŠ ู…ุซู„ุง sinusoidal
1388
+
1389
+ 348
1390
+ 00:28:10,160 --> 00:28:15,280
1391
+ sinusoidal ุนู†ุฏูƒ ุงู„ peaks ุงู„ upper ูˆ ุงู„ lower peaks
1392
+
1393
+ 349
1394
+ 00:28:15,280 --> 00:28:21,070
1395
+ ุชุจุนูˆู†ูƒ ูˆ ุฎู„ุงุต ู‡ุงูŠ ูƒู„ ุงู„ rangeotherwise ู…ุด ู…ูˆุฌูˆุฏ
1396
+
1397
+ 350
1398
+ 00:28:21,070 --> 00:28:26,630
1399
+ ู…ุงููŠุด ุงูŠ ู‚ูŠู…ุฉ ุงุตู„ุง ู„ X ุจุชู‚ุฏุฑ ุชู†ุชุฌู„ูƒ ุงูƒุชุฑ ู…ู†
1400
+
1401
+ 351
1402
+ 00:28:26,630 --> 00:28:33,370
1403
+ ู‡ุงู„ุฑู‚ู…ูŠู† ุงูƒุจุฑ ุงูˆ ุงู‚ู„ ู†ู‡ุงุฆูŠ ูุงู†ุช ุนู†ุฏูƒ range R ุฑุบู…
1404
+
1405
+ 352
1406
+ 00:28:33,370 --> 00:28:40,570
1407
+ ุงู† ุงู†ุช ุงุณู…ูŠุง ุนู†ุฏูƒ R ู„ ุงู„ B ูู‡ูŠ ุงู„ real number ุจุณ
1408
+
1409
+ 353
1410
+ 00:28:40,570 --> 00:28:45,230
1411
+ ูุนู„ูŠุง ุงู„ range ู„ุฃ ู…ุงุงุฎุฏุด ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุชู…ุงู… ูู‡ูŠ ..
1412
+
1413
+ 354
1414
+ 00:28:45,230 --> 00:28:48,900
1415
+ ุงู‡ ุชูุถู„ ู‡ูˆ ุงู†ุง ุนู„ู‰ ุงูŠ ุงุณุงุณ ู…ุญุฏุฏ ุงู„ code mainlyุงู„
1416
+
1417
+ 355
1418
+ 00:28:48,900 --> 00:28:53,240
1419
+ code .. ู„ุฃ ุงู„ code domain ุจู†ุช .. ุจู†ุงุก ุนู„ู‰ ุงู„
1420
+
1421
+ 356
1422
+ 00:28:53,240 --> 00:28:57,000
1423
+ domain ุงู†ุช ู„ุงุญุธ ุงุญู†ุง ู„ุณู‡ ู…ู†ุง code domain ู…ู‚ุชุฑู†
1424
+
1425
+ 357
1426
+ 00:28:57,000 --> 00:29:00,940
1427
+ ุจู…ูŠู†ุŸ ุฎู„ุงุต ุงู†ุช ุงูŠุด ุงู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ุฃุฎุฏุชู‡ุง ููŠ ุงู„
1428
+
1429
+ 358
1430
+ 00:29:00,940 --> 00:29:07,210
1431
+ domainุŸุชู…ุงู…ุŸ ู‡ุฐุง ุฅุฐุง ูƒุงู†ูˆุง ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ..
1432
+
1433
+ 359
1434
+ 00:29:07,210 --> 00:29:10,870
1435
+ ู†ูุณ ุงู„ู…ุนู†ู‰ ุฃูˆ ู†ูุณ ุงู„ู…ุตุทู„ุญ real numbers ุฎู„ุงุต ููŠู‡
1436
+
1437
+ 360
1438
+ 00:29:10,870 --> 00:29:15,870
1439
+ real numbers ููŠ ุฃุญูŠุงู†ุง ุงู„ application ู†ูุณู‡ ุจูŠุฃุซุฑ
1440
+
1441
+ 361
1442
+ 00:29:15,870 --> 00:29:19,110
1443
+ ููŠ ุงุฎุชูŠุงุฑู†ุงุŒ ู‡ู†ุงุฎุฏ ู…ุซุงู„ ุนู„ูŠู‡ุงุŒ ู‚ุนุฏู†ุง ู‡ู†ุงุฎุฏ ู…ุซุงู„
1444
+
1445
+ 362
1446
+ 00:29:19,110 --> 00:29:22,750
1447
+ ู…ุซู„ุงุŒ ุจุณ ุฃู†ุช ุจุชุญุท ุฌู…ูŠุน ุงุญุชู…ุงู„ุงุช ุงู„ู…ู…ูƒู†ุฉ ู„ู„ code
1448
+
1449
+ 363
1450
+ 00:29:22,750 --> 00:29:27,190
1451
+ main ู‚ุนุฏู†ุง ู‡ู†ุดูˆูู‡ุงุŒ ุฌูŠู†ุง ู…ุซุงู„ ู„ู‡ุงุŒ ู‡ูŠูˆุŒ ุนู„ู‰ ุทูˆู„
1452
+
1453
+ 364
1454
+ 00:29:27,190 --> 00:29:32,300
1455
+ ุฅูŠุฌุงู‡ุฃูŠ ู…ุซุงู„ ู…ุซู„ุง ู„ูˆ ุงูุชุฑุถู†ุง ุงู† ููŠ ุนู†ุฏ ุงู„ F ุงู„ F
1456
+
1457
+ 365
1458
+ 00:29:32,300 --> 00:29:36,780
1459
+ ู‡ูŠ function ุงู„ function ู‡ุฐู‡ ุจุชุนู…ู„ mapping mapping
1460
+
1461
+ 366
1462
+ 00:29:36,780 --> 00:29:40,460
1463
+ ู…ุนู†ุงุชู‡ ุจุชุนู…ู„ ูƒุฃู†ู‡ ุฏูˆุฑ ุงู„ function ู†ูุณู‡ุง ุฏูˆุฑ ุงู„
1464
+
1465
+ 367
1466
+ 00:29:40,460 --> 00:29:43,960
1467
+ function ุงู„ู„ูŠ ู‡ูŠ ุนู…ู„ูŠุฉ ุงู„ modification ู„ X ุจุญูŠุซ
1468
+
1469
+ 368
1470
+ 00:29:43,960 --> 00:29:49,160
1471
+ ุงู†ู‡ ูŠุทู„ุน Y ุงูˆ small a ู„ small b ุจุชุนู…ู„ mapping ู„ู„
1472
+
1473
+ 369
1474
+ 00:29:49,160 --> 00:29:55,300
1475
+ students in this class to the set of gradesุทูŠุจ in
1476
+
1477
+ 370
1478
+ 00:29:55,300 --> 00:29:59,100
1479
+ general ู‡ูŠูƒูŠ ู„ grades ุงู„ุดู…ู‘ุฉ ูŠุง ุฅูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ู…ุชุงุฒ
1480
+
1481
+ 371
1482
+ 00:29:59,100 --> 00:30:04,840
1483
+ ุฌูŠุฏ ุฌุฏุง ุฌูŠุฏ ู…ู‚ุจูˆู„ ุฃูˆ ุฑุงุณุจุŸ ุนู†ุฏู†ุง ุฅุดูŠ ุชุงู†ูŠุŸ ูุงู†ุช
1484
+
1485
+ 372
1486
+ 00:30:04,840 --> 00:30:09,320
1487
+ ุนุงูŠุฒ .. ุงู„ู…ุซุงู„ ูˆุถู‘ุญู„ูƒ ุฃู†ู‡ ุฅูŠุด ุงู„ู…ู…ูƒู†ุŸ ุงู„ู…ู…ูƒู† ูŠู…ุง
1488
+
1489
+ 373
1490
+ 00:30:09,320 --> 00:30:14,120
1491
+ ุงู„ุฎู…ุณุฉ ู‡ุฏูˆู„ุŒ ุฎู„ุงุต ุจุชุญุท ุงู„ุฎู…ุณุฉ A ุฃูˆ B ุฃูˆ C ุฃูˆ D ุฃูˆ
1492
+
1493
+ 374
1494
+ 00:30:14,120 --> 00:30:18,500
1495
+ Fู‡ูŠ ุงู„ code domain ูˆุงุถุญุฉ ุงู„ุงู† ูƒูŠู ู‡ูŠ ุงู„ code
1496
+
1497
+ 375
1498
+ 00:30:18,500 --> 00:30:21,880
1499
+ domainุŸ ู„ุฃู†ู‡ ู…ุฎุชู„ู ุนู† ุงู„ students ุงู„ students
1500
+
1501
+ 376
1502
+ 00:30:21,880 --> 00:30:24,760
1503
+ ุฃุนุฏุงุฏุŒ ุงู„ุนุฏุฏ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุฑุฉ ู…ูŠุฉุŒ ู…ู…ูƒู† ุฎู…ุณูŠู†ุŒ ู…ู…ูƒู†
1504
+
1505
+ 377
1506
+ 00:30:24,760 --> 00:30:27,440
1507
+ ุณุจุนูŠู†ุŒ ู…ู…ูƒู† ุชู…ุงู†ูŠู†ุŒ ูƒู„ ู…ุฑุฉ ุจุฎุชู„ูุŒ ุจุณ ุงู„ grades
1508
+
1509
+ 378
1510
+ 00:30:27,440 --> 00:30:32,480
1511
+ ู…ุนุฑูˆู ุงู†ู‡ .. ู…ุนุฑูˆููŠู†ุŒ limitedุŒ ุจูŠู‚ูŠุง ู…ู† A to F ุญุณุจ
1512
+
1513
+ 379
1514
+ 00:30:32,480 --> 00:30:41,480
1515
+ ุงู„ู…ุนุฏู„ุงุช ุชู…ุงู… at this point ุญุชู‰ ุงู„ู„ุญุธุฉ ุญุชู‰ ุงู„ู„ุญุธุฉ
1516
+
1517
+ 380
1518
+ 00:30:42,230 --> 00:30:44,710
1519
+ ุงู„ู„ูŠ ุงุญู†ุง ููŠู‡ุง ุงุญู†ุง ู…ุง ุฒู„ู†ุง ููŠ ุฃูˆู„ ุงู„ูุตู„ ู„ู†ุนุฑู
1520
+
1521
+ 381
1522
+ 00:30:44,710 --> 00:30:47,250
1523
+ ุฎูŠุฑูƒูˆุง ู…ู† ุดุฑูƒู‡ ู„ุณู‡ ู…ุงุนู…ู„ู†ุงุด ุงูŠ ุงู…ุชุญุงู†ุงุช ูˆู„ุง ุจู†ุนุฑู
1524
+
1525
+ 382
1526
+ 00:30:47,250 --> 00:30:52,570
1527
+ ูƒูŠู ุงู„ูˆุถุน ู…ุนุงู†ุง ุชู…ุงู… ุญุชู‰ ุงู„ู„ุญุธุฉ if ุงูˆ ุงู„ ุงู„
1528
+
1529
+ 383
1530
+ 00:30:52,570 --> 00:30:57,410
1531
+ codomain ุชุจุนู†ุง ุงูŠุด ูŠุนู†ูŠ
1532
+
1533
+ 384
1534
+ 00:30:57,410 --> 00:31:00,670
1535
+ ุงู„ุงู† ูƒู„ูƒู… ู…ุฑุดุญูŠู† ุงู„ู„ูŠ ู…ู…ูƒู† ุชุงุฎุฏูˆุง ุงูŠ ุดูŠ ุตุญูŠุญ ู in
1536
+
1537
+ 385
1538
+ 00:31:00,670 --> 00:31:06,190
1539
+ general ูƒู„ู‡ ุทูŠุจ ุงู„ rangeุฃูƒูŠุฏ ู…ุด ู‡ูŠูƒูˆู† ู…ุนุฑูˆูุฉ ุฃู†ุง
1540
+
1541
+ 386
1542
+ 00:31:06,190 --> 00:31:08,450
1543
+ ุจู‚ูˆู„ูƒูˆุง ุญุชู‰ ุงู„ู„ุญุธุฉ ุฃู†ุง ู„ุณู‡ ู…ุงุนุฑูุชุด ุฎูŠุฑูƒู… ูˆ ุงู†ุณุงุฑูƒู…
1544
+
1545
+ 387
1546
+ 00:31:08,450 --> 00:31:13,250
1547
+ ุตุญุŸ ู…ุงุนุฑูู†ุงุด ู„ุณู‡ ูƒูŠู ุฃุฏุงุฆูƒู… ูˆู„ุง ุดูู†ุง ุงู„ุงู…ุชุญุงู†ุงุช
1548
+
1549
+ 388
1550
+ 00:31:13,250 --> 00:31:16,270
1551
+ ูƒูŠู ู‡ุชูƒูˆู† ูˆู„ุง ูƒูŠู ุงู„ response ูˆู„ุง ุงู†ุชูˆุง ุดูุชูˆุง ูƒูŠู
1552
+
1553
+ 389
1554
+ 00:31:16,270 --> 00:31:20,950
1555
+ ุงู„ุงู…ุชุญุงู†ุงุช ุชุจุนุชูŠ ู‡ุชุตูŠุฑ ุญุชู‰ ุงู„ู„ุญุธุฉ ุงู„ noun ุงู„ range
1556
+
1557
+ 390
1558
+ 00:31:20,950 --> 00:31:26,910
1559
+ ุงู„ noun ู„ุฃู†ู‡ ู„ุณู‡ ู…ุงุทุจู‚ู†ุงุด ุงู„ function ุดูƒู„ ุงู„
1560
+
1561
+ 391
1562
+ 00:31:26,910 --> 00:31:30,230
1563
+ function ู„ุณู‡ ู…ุงุดูˆูู†ุงุด ู†ุชุงุฆุฌู‡ุง ู…ุฏุงู… ู„ุณู‡ ู…ุงุดูˆูู†ุง
1564
+
1565
+ 392
1566
+ 00:31:30,230 --> 00:31:35,560
1567
+ ู†ุชุงุฆุฌ ุงู„ function ู‡ูŠ ุงู„ examูˆ ุงู„ quizzes ู…ุนู†ุงุชู‡
1568
+
1569
+ 393
1570
+ 00:31:35,560 --> 00:31:41,040
1571
+ unknown ุทูŠุจ ุงู„ grade ุจุนุฏ ู…ุง ุฎู„ุตู†ุง ุงู„ู…ุซุงุจ ุชุจุนู†ุง
1572
+
1573
+ 394
1574
+ 00:31:41,040 --> 00:31:43,740
1575
+ ุงุชูุงุฌุฃุช ูˆุงู„ู„ู‡ ุงู† ุงู†ุชูˆุง ูุนู„ุง ู†ุฎุจุฉ ุทู„ุนุชูˆุง ููŠ ุงู„ุฌุงู…ุนุฉ
1576
+
1577
+ 395
1578
+ 00:31:43,740 --> 00:31:49,080
1579
+ ูˆ ู…ุนุธู…ูƒูˆุง ุงู„ grades ุชุจุนุชูƒูˆุง turned out all As and
1580
+
1581
+ 396
1582
+ 00:31:49,080 --> 00:31:54,840
1583
+ BsูŠุนู†ูŠ ุงุชูุงุฌุฃุช ุฃู†ู‡ ู…ุง ุดุงุก ุงู„ู„ู‡ ุฃู†ุง ูƒู†ุช ุจุชุฏุฑุณ ู†ุงุณ
1584
+
1585
+ 397
1586
+ 00:31:54,840 --> 00:32:01,600
1587
+ ุบูŠุฑ ุดูƒู„ุŒ ูƒูˆูŠุณุŸ ููƒู„ู‡ู… ู„ุงุฌูŠู†ุง ุฃู†ู‡ ูŠุง A ูŠุง BุŒ ูŠุง B ูŠุง
1588
+
1589
+ 398
1590
+ 00:32:01,600 --> 00:32:05,740
1591
+ AุŒ ูƒู„ ุงู„ุทู„ุงุจุŒ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐุง ุงู„ range ุฅูŠุด ุฃุตุจุญุŸ A
1592
+
1593
+ 399
1594
+ 00:32:05,740 --> 00:32:09,300
1595
+ ูˆ BุŒ ู„ุฃู† ู‡ุฐุง ุงู„ actualุŒ ู‡ุฐุง ุงู„ู†ุงุชุฌ ุงู„ุญู‚ูŠู‚ูŠ ุทู„ุน
1596
+
1597
+ 400
1598
+ 00:32:09,300 --> 00:32:14,340
1599
+ ู„ู„ุงู…ุชุญุงู†ุงุชุŒ ู„ู…ุฌู…ูˆุนุฉ ุงู„ุงู…ุชุญุงู†ุงุชุŒ ูƒูˆูŠุณุŸ but the
1600
+
1601
+ 401
1602
+ 00:32:14,340 --> 00:32:21,510
1603
+ codomain is A ูˆ B ูŠุนู†ูŠ ู†ูุณู‡ุŸ ุฃูŠูˆุฉู„ุญุธู†ุง ุงู„ code
1604
+
1605
+ 402
1606
+ 00:32:21,510 --> 00:32:25,250
1607
+ domain ู…ุง ุชุบูŠุฑุด ุงู„ code domain ู…ุง ุชุบูŠุฑ ุงุญู†ุง ุนุงุฑููŠู†
1608
+
1609
+ 403
1610
+ 00:32:25,250 --> 00:32:29,610
1611
+ ุงู†ู‡ ุงูŠุด ุงู„ possibilities ุงู„ู…ู…ูƒู†ุฉ ู„ู„ู†ูˆุงุชุฌ ุงู† ูŠูƒูˆู†ูˆุง
1612
+
1613
+ 404
1614
+ 00:32:29,610 --> 00:32:32,290
1615
+ ูˆุงุญุฏ ู…ู† ุงู„ุฎู…ุณุฉ ูู‡ุฐู‡ ุจุชุจู‚ู‰ ุงู„ code domain ู…ุด ุญุงุฌุฉ
1616
+
1617
+ 405
1618
+ 00:32:32,290 --> 00:32:35,270
1619
+ ุงู‚ูˆู„ ู„ุฃ ู‡ูŠ ุตุงุฑ ูƒุฐุงุŒ ู„ุฃ ุงุฎุชุงุฑู‡ุง ูƒุฐุงุŒ ู„ุฃ ุงุนู…ู„ู‡ุง ูƒุฐุงุŒ
1620
+
1621
+ 406
1622
+ 00:32:35,270 --> 00:32:37,510
1623
+ ุฎู„ุงุต ุจุชุจู‚ู‰ ุฒูŠ ู…ุง ู‡ูŠุŒ ุชู…ุงู…
1624
+
1625
+ 407
1626
+ 00:32:39,990 --> 00:32:47,970
1627
+ ุงู„ function operation ุฃูˆ operators ุฒูŠู‡ุง ุฒูŠ ุงู„ุฃุฑู‚ุงู…
1628
+
1629
+ 408
1630
+ 00:32:47,970 --> 00:32:51,870
1631
+ ุงู„ุนุงุฏูŠุฉ ุฒูŠ ุงู„ุฃุฑู‚ุงู… ุงู„ุนุงุฏูŠุฉ ุจุชู‚ุฏุฑ ุชุนู…ู„ plus ุฃูˆ
1632
+
1633
+ 409
1634
+ 00:32:51,870 --> 00:32:56,710
1635
+ times ุงู„ู„ูŠ ู‡ูŠ ุถุฑุจ ุฃูˆ ุฌู…ุน ุฒูŠู‡ุง ุฒูŠ ุฃูŠ ุฃุฑู‚ุงู… ุนุงุฏูŠุฉ
1636
+
1637
+ 410
1638
+ 00:32:56,710 --> 00:33:01,390
1639
+ ูƒู†ุช ุชุดุชุบู„ู‡ุง ุฅู…ุง ุชุนู…ู„ normal addition ุฃูˆ
1640
+
1641
+ 411
1642
+ 00:33:01,390 --> 00:33:05,780
1643
+ multiplication ูุงู†ุช ุจุชุฌู…ุน ู†ูˆุงุชุฌู‡ุงุจุชุฌู…ุน ู†ูˆุงุชุฌ ุงู„
1644
+
1645
+ 412
1646
+ 00:33:05,780 --> 00:33:09,400
1647
+ function ุฌุงู…ุนุฉ ุฌุงู…ุนุฉ ุนุงุฏูŠ ุถุฑุจ ุถุฑุจ ุนุงุฏูŠ ู„ูƒู† ููŠู‡ุง ุฃู†
1648
+
1649
+ 413
1650
+ 00:33:09,400 --> 00:33:13,580
1651
+ ู…ุฌู…ูˆุนุฉ operations ู‡ู†ุงุฎุฏู‡ุง ู„ุงุญู‚ุง ุดูˆูŠุฉ ู…ุฎุชู„ูุฉ ู‡ุฏุจ
1652
+
1653
+ 414
1654
+ 00:33:13,580 --> 00:33:19,020
1655
+ ู†ูƒุชุจู‡ุง ูƒุชุงู„ูŠ ุงู„ functions f plus g from R to R
1656
+
1657
+ 415
1658
+ 00:33:19,020 --> 00:33:25,840
1659
+ ูู‡ู†ุง ุญุทูŠู†ุง ุดูƒู„ ุงู„ุนู…ู„ูŠุฉ ููŠ ุงู„ุจุฏุงูŠุฉ ูˆ ุจุนุฏูŠู† ุญุฏุฏู†ุง ุงู„
1660
+
1661
+ 416
1662
+ 00:33:25,840 --> 00:33:29,970
1663
+ domain ูˆ ุงู„ codomainูู‡ูŠูƒ ุงู„ุชุนุฑูŠู ุฅู† ุฃู†ุง ุจุฏู‡ ุฃุฌู…ุน
1664
+
1665
+ 417
1666
+ 00:33:29,970 --> 00:33:34,410
1667
+ ุงู„ function f plus g ูˆู‡ู†ุง ุจุฏู†ุง ู†ุถุฑุจ ุงู„ function f
1668
+
1669
+ 418
1670
+ 00:33:34,410 --> 00:33:43,110
1671
+ multiple ุฃูˆ times g ุชู…ุงู… ู†ุถุฑุจ ุถุฑุจ ุนุงุฏูŠ ุฌุฏุง ูƒุฃู†ูƒ
1672
+
1673
+ 419
1674
+ 00:33:43,110 --> 00:33:50,070
1675
+ ุจุชุฌูŠุจ f of x ูƒู†ุชุฌ ูˆ g of x ูƒู†ุชุฌ ูˆ ุชุถุฑุจู‡ู… ููŠ ุจุนุถ ุฃูˆ
1676
+
1677
+ 420
1678
+ 00:33:50,070 --> 00:33:55,160
1679
+ ุชุฌู…ุนู‡ู… ู…ุน ุจุนุถ ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุนู…ู„ูŠุฉ ุจุณูŠุทุฉุงู„ู€
1680
+
1681
+ 421
1682
+ 00:33:55,160 --> 00:33:58,100
1683
+ operator ุงู„ู„ู‰ ูŠู…ูƒู† ุดูˆูŠุฉ ุจุฏู†ุง ู†ุดุชุบู„ ุนู„ูŠู‡ ุงู„ู„ู‰ ู‡ูˆ ุงู„
1684
+
1685
+ 422
1686
+ 00:33:58,100 --> 00:34:02,280
1687
+ composition ุงู„ composition ุงู„ู„ู‰ ู‡ูˆ ุงู„ุชุฑูƒูŠุจ ุงู† ุงุญู†ุง
1688
+
1689
+ 423
1690
+ 00:34:02,280 --> 00:34:04,860
1691
+ ุจุฏู†ุง ู†ุฑูƒุจ ุงู„ functions ููŠ ุจุนุถ ู‡ู†ุฑูƒุจ ุงู„ functions
1692
+
1693
+ 424
1694
+ 00:34:04,860 --> 00:34:08,320
1695
+ ุนู„ู‰ ุจุนุถ ูˆ ุจู†ุนุทูŠู‡ุง ุงุฐุง ูƒุงู† ุนู†ุฏู‰ two functions ุนุดุงู†
1696
+
1697
+ 425
1698
+ 00:34:08,320 --> 00:34:10,480
1699
+ ุงุนู…ู„ ุชุฑูƒูŠุจ ู…ุนู†ุงุชู‡ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ ุงูƒุชุฑ ู…ู† function
1700
+
1701
+ 426
1702
+ 00:34:10,480 --> 00:34:13,920
1703
+ ู„ function ูˆุงุญุฏุฉ ุจุฏูƒ ุชุฑูƒุจู‡ุง ู…ุน ู…ูŠู† ูŠุนู†ูŠ ุงูˆ ุจุฏูƒ
1704
+
1705
+ 427
1706
+ 00:34:13,920 --> 00:34:16,840
1707
+ ุชุนู…ู„ composition ู…ุน ู…ูŠู† ูู„ุงุฒู… ุชูƒูˆู† ุนู„ู‰ ุงู„ุงู‚ู„ ููŠ
1708
+
1709
+ 428
1710
+ 00:34:16,840 --> 00:34:19,260
1711
+ ุนู†ุฏูƒ two functions ุงู„ two functions ู‡ุฐู‡ ูˆุงุญุฏุฉ g
1712
+
1713
+ 429
1714
+ 00:34:19,260 --> 00:34:29,010
1715
+ from a to bุทูŠุจ ูˆ if from B to C ุนุดุงู† ูŠู†ุชุฌู„ู†ุง ..
1716
+
1717
+ 430
1718
+ 00:34:29,010 --> 00:34:37,090
1719
+ ูŠู†ุชุฌู„ู†ุง ูƒู…ุฌู…ูˆุน ุงูˆ ูƒ composite function .. function
1720
+
1721
+ 431
1722
+ 00:34:37,090 --> 00:34:47,390
1723
+ ู…ุฑูƒุจุฉ from A to C from A to C ุงู†ุช ุนู†ุฏูƒ two
1724
+
1725
+ 432
1726
+ 00:34:47,390 --> 00:34:49,610
1727
+ functions ุฑูƒุจุชู‡ู… ู…ุน ุจุนุถ ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ู‡ูŠุทู„ุน function
1728
+
1729
+ 433
1730
+ 00:34:49,610 --> 00:34:54,350
1731
+ ุฌุฏูŠุฏุฉุงู„ุชุฃุซูŠุฑ ู‡ูŠูƒูˆู† ุชุฃุซูŠุฑ ุงู„ุชู†ุชูŠู† ู…ุน ุจุนุถ ุชุฃุซูŠุฑ ุงู„
1732
+
1733
+ 434
1734
+ 00:34:54,350 --> 00:34:58,410
1735
+ two functions ู…ุน ุจุนุถู‡ู… ูุจู†ูƒุชุจู‡ุง ุงู„ compose ู‡ุฐุง big
1736
+
1737
+ 435
1738
+ 00:34:58,410 --> 00:35:03,150
1739
+ O ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ุงุญู†ุง ุดุงูŠููŠู†ู‡ ูุจู‚ูˆู„ if compose G
1740
+
1741
+ 436
1742
+ 00:35:03,150 --> 00:35:14,170
1743
+ from OA to C ุฎู„ุงุต ุงู†ุช ุจุชุชูƒู„ู… ุนู† ู†ุงุชุฌ G ู†ุงุชุฌ G ุงู„ู„ูŠ
1744
+
1745
+ 437
1746
+ 00:35:14,170 --> 00:35:20,010
1747
+ ู‡ูˆ ู†ุงุชุฌ F ู†ุงุชุฌ F ู‡ู„ ูˆุงุฌุฏ ู‡ู†ุดูˆูู‡ ู„ูŠุดุŸC ุจุงุฏูŠุฉ ู…ู†
1748
+
1749
+ 438
1750
+ 00:35:20,010 --> 00:35:27,790
1751
+ ู…ูŠู†ุŸ ู…ู† GA ู„ุฃู† ู‡ู†ุง ู‡ุฐู‡ ู…ุนู†ุงู‡ุง ูƒุฃู†ู‡ ุจุชุงุฎุฏ ู†ุงุชุฌ ุฎุฏูˆุง
1752
+
1753
+ 439
1754
+ 00:35:27,790 --> 00:35:34,790
1755
+ ุจุงู„ูƒ ู†ุงุชุฌ G ูˆุจูŠุตุจุญ ู‡ูˆ ุงู„ input ู„ F ู†ุงุชุฌ ุงู„ุชุงู†ูŠุฉ
1756
+
1757
+ 440
1758
+ 00:35:34,790 --> 00:35:41,350
1759
+ input ู„ู„ุฃูˆู„ู‰ ุจุณ ูˆู‡ูŠ ู…ุนุฑูุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุชุชู‡ูŠุฃ ู„ูŠู‡ุŸ
1760
+
1761
+ 441
1762
+ 00:35:41,350 --> 00:35:48,230
1763
+ ู…ุงููŠุด ูƒุชูŠุฑ ููŠู‡ุง ู…ุดูƒู„ุฉ ูู‡ูŠ G of Aู„ูŠู‡ G of AุŸ ู„ุฃู† ู‡ูŠ
1764
+
1765
+ 442
1766
+ 00:35:48,230 --> 00:35:53,510
1767
+ ู…ู† ุงู„ู€ A ุจุงุฏูŠุฉ ูู„ุงุฒู… ุงู„ input ุชุจุนู‡ุง A ู‡ุชูƒูˆู† ุชู†ุชู…ูŠ
1768
+
1769
+ 443
1770
+ 00:35:53,510 --> 00:36:03,530
1771
+ ู„ B ู„ุฃู† ุจุฑุถู‡ ุงู„ G of A ู‡ูŠ B ู‡ูŠ ูุนู„ูŠุง ูƒุฃู†ู‡ุง B ูู‡ุฐู‡
1772
+
1773
+ 444
1774
+ 00:36:03,530 --> 00:36:10,910
1775
+ ุฃูƒูŠุฏ ู‡ุชู†ุชู…ูŠ ู„ูŠุดุŸ ู„ B ุทูŠุจ ู„ุงุจุฏ ุงู„ B ู†ูุณู‡ุง ูƒู†ุชุฌ ู„ู„
1776
+
1777
+ 445
1778
+ 00:36:10,910 --> 00:36:15,850
1779
+ function G ุชูƒูˆู† ู‡ูŠ ุงู„ inputู„ู„ F ุงู„ input ู„ู„ F
1780
+
1781
+ 446
1782
+ 00:36:15,850 --> 00:36:21,870
1783
+ ูู‡ุชูƒูˆู† ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุญูŠุซ ุงู†ู‡ ุงู„ input ู„ู„ F ู‡ูŠู‡ุง ู‡ูŠ
1784
+
1785
+ 447
1786
+ 00:36:21,870 --> 00:36:30,230
1787
+ ุงู„ B ูุฃุตุจุญุช ูƒุฃู†ู‡ F of B ูˆู‡ุฏูŠ ุชุชูู‚ ุชู…ุงู…ุง ู…ุน ู‡ู†ุง ู…ู†
1788
+
1789
+ 448
1790
+ 00:36:30,230 --> 00:36:36,250
1791
+ B to C ูู‡ุชุณูˆูŠ ู„ู„ู…ูุฑูˆุถ small c ูˆ small c ู‡ุฐู‡ ุญุชู…ุง
1792
+
1793
+ 449
1794
+ 00:36:36,250 --> 00:36:39,790
1795
+ ู„ุงุฒู… ุชูƒูˆู† belong to ุงูŠุด capital C
1796
+
1797
+ 450
1798
+ 00:36:43,420 --> 00:36:49,300
1799
+ ุชู…ุงู… ุงู„ .. ุงู„ composition ู‡ูŠ ุฒูŠู‡ุง ุฒูŠ ุงู„ Cartesian
1800
+
1801
+ 451
1802
+ 00:36:49,300 --> 00:36:54,660
1803
+ product ุงูŠุด ูŠุนู†ูŠุŸ ู„ูŠุณ ุงู„ุชุจุงุฏู„ูŠุฉ ูŠุนู†ูŠ if compose G
1804
+
1805
+ 452
1806
+ 00:36:54,660 --> 00:36:59,900
1807
+ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุชุณูˆู‰ G compose F ุญุงู„ุงุช ูƒุชูŠุฑ ู†ุงุฏุฑุฉ ู…ู…ูƒู†
1808
+
1809
+ 453
1810
+ 00:36:59,900 --> 00:37:03,460
1811
+ ุชุธุจุท ุจุณ in general ู„ุฃ ุจูŠุณูˆูˆุด ุจุนุถ in general ู„ุฃ ู…ุง
1812
+
1813
+ 454
1814
+ 00:37:03,460 --> 00:37:09,820
1815
+ ุจูŠุณูˆูˆุง ุจุนุถ ุชู…ุงู… ู‡ุงูŠ ุงุชูƒู„ู…ู†ุง ุนู† ู†ูุณ ุงู„ู‚ุงู„ูŠุฉ
1816
+
1817
+ 455
1818
+ 00:37:15,360 --> 00:37:19,820
1819
+ Okay ุฃู†ูˆุงุน ุงู„ functions ุจุนุฏ ู…ุง ุงู„ุฃู† ุชุนุฑูู†ุง ุนู†ู‡ ุนู„ู‰
1820
+
1821
+ 456
1822
+ 00:37:19,820 --> 00:37:24,320
1823
+ ู…ุฌู…ูˆุนุฉ operators ูˆูƒุงู†ุช plus ูˆ ุถุฑุจ ู…ุงููŠุด ููŠู‡ู… ู…ุดุงูƒู„
1824
+
1825
+ 457
1826
+ 00:37:24,320 --> 00:37:27,860
1827
+ ู‡ุฏูˆู„ุฉ ุงู„ composition ุฃุชูˆู‚ุน ู…ุด ูƒุชูŠุฑ ุตุนุจุฉ ุจุณูŠุทุฉ ุฌุฏุง
1828
+
1829
+ 458
1830
+ 00:37:27,860 --> 00:37:31,080
1831
+ ุณู‡ู„ุฉ ู…ุด ูƒุชูŠุฑ ู„ู…ุง ุจุชุนู…ู„ function compose function
1832
+
1833
+ 459
1834
+ 00:37:31,080 --> 00:37:34,680
1835
+ ุชุงู†ูŠุฉ ู…ุด ู‡ุงู„ุงุดูŠ ุงู„ู„ูŠ ุถุฎู… ุงู„ุฃู† ุฃู†ูˆุงุน ุงู„ functions
1836
+
1837
+ 460
1838
+ 00:37:34,680 --> 00:37:39,080
1839
+ ูˆูƒูŠู ู…ู…ูƒู† ู†ุนุฑูู‡ู… ููŠ function ุงุณู…ู‡ุง one to one
1840
+
1841
+ 461
1842
+ 00:37:39,780 --> 00:37:43,560
1843
+ business ุจูŠุณู…ูˆู‡ุง ุฃุญูŠุงู†ุง injection injection ุงู„ู„ูŠ
1844
+
1845
+ 462
1846
+ 00:37:43,560 --> 00:37:46,840
1847
+ ู‡ูˆ ุญู‚ู† ุจู…ุนู†ู‰ ุงู„ุญู‚ู† ุฏุงูŠู…ุง ุจุชู‚ุทุน ู„ูˆ ูˆุงุญุฏ ุตุญ ูุงู„
1848
+
1849
+ 463
1850
+ 00:37:46,840 --> 00:37:51,100
1851
+ input ู„ู‡ output ูˆุงุญุฏ ุจุณ ุฎู„ุงุต ู…ู† input ู„ output
1852
+
1853
+ 464
1854
+ 00:37:51,100 --> 00:37:56,740
1855
+ ุงู†ุชู‡ู‰ ุญู‚ู† ูุงู„ุญู‚ู† ู…ู† ุงู„ุง ุจุณ ูุจูŠุณู…ูˆู‡ุง one to one
1856
+
1857
+ 465
1858
+ 00:37:56,740 --> 00:38:00,040
1859
+ injective ุงูˆ injection if and only if every
1860
+
1861
+ 466
1862
+ 00:38:00,040 --> 00:38:05,470
1863
+ element of its range has only one preimageูƒู„
1864
+
1865
+ 467
1866
+ 00:38:05,470 --> 00:38:09,610
1867
+ element ููŠ ุงู„ range ููŠ ุงู„ actual output ู‡ูˆ ูุนู„ูŠุง
1868
+
1869
+ 468
1870
+ 00:38:09,610 --> 00:38:15,150
1871
+ ู…ุงู„ูˆุด ุฅู„ุง preimage ูˆุงุญุฏุฉ ูˆ ู„ูŠุณ ุฃูƒุซุฑ ู…ู† ุฐู„ูƒ ูƒูˆูŠุณ
1872
+
1873
+ 469
1874
+ 00:38:15,150 --> 00:38:20,770
1875
+ ูุนู„ูŠู†ุง ู†ูˆุถุญ ุชู…ุงู…ุง ุฃู† ุญุงู„ุฉ ุฒูŠ ุงู„ุชุฑุจูŠุน ู…ุด ู‡ุชูƒูˆู† ุถู…ู†
1876
+
1877
+ 470
1878
+ 00:38:20,770 --> 00:38:25,590
1879
+ ู‡ุฐุง ุงู„ุชุนุฑูŠู ุฅุทู„ุงู‚ุง ูƒูˆูŠุณ formally ูƒูŠู ู…ู…ูƒู† ู†ูƒุชุจู‡ุงุŸ
1880
+
1881
+ 471
1882
+ 00:38:25,590 --> 00:38:31,250
1883
+ ู„ูˆ ุนู†ุฏูŠ ุงู„ function from a to b a to b ูุจู‚ุฏุฑ
1884
+
1885
+ 472
1886
+ 00:38:31,250 --> 00:38:35,220
1887
+ ุฃุณู…ูŠู‡ุง ู‡ูŠ one to one ุฃูˆ injectiveif and only if
1888
+
1889
+ 473
1890
+ 00:38:35,220 --> 00:38:41,940
1891
+ ูู‡ูŠ equivalent ู„ุฃ ุงู†ู‡ ู„ุง ูŠูˆุฌุฏ ุนู†ุตุฑูŠู† ู…ุฎุชู„ููŠู†
1892
+
1893
+ 474
1894
+ 00:38:41,940 --> 00:38:52,420
1895
+ ุนู†ุตุฑูŠู† ู…ุฎุชู„ููŠู† ูƒู…ุงู† ูˆ ุงู„ image ุชุจุนุชู‡ู… ู…ุชุณุงูˆูŠุฉ ูŠุนู†ูŠ
1896
+
1897
+ 475
1898
+ 00:38:52,420 --> 00:38:56,320
1899
+ ู…ุด ู‡ุงุฏ ุงู„ f of x ุงู„ image ุจุชุงุนุช ุงู„ุฃูˆู„ ูˆ ุงู„ f of y
1900
+
1901
+ 476
1902
+ 00:38:56,320 --> 00:39:00,600
1903
+ ุงู„ image ุจุชุงุนุช ุงู„ุชุงู†ูŠู„ุง ูŠุณูˆูˆุง ุจุนุถ ูŠุนู†ูŠ ู„ุง ูŠูˆุฌุฏ
1904
+
1905
+ 477
1906
+ 00:39:00,600 --> 00:39:06,900
1907
+ image ู„ุฃูƒุชุฑ ู…ู† preimage ูˆุงุญุฏ ู„ุง ูŠูˆุฌุฏ ุจุฏุฃู†ุงู‡ุง ุจู„ุง
1908
+
1909
+ 478
1910
+ 00:39:06,900 --> 00:39:11,240
1911
+ ูŠูˆุฌุฏ ูุฅุฐุง ู‡ุฐุง ู…ุนู†ุงู‡ ุงู† ู‡ู†ุง ู‡ุฐู‡ ู„ูŠุณุช one to one ุนู„ู‰
1912
+
1913
+ 479
1914
+ 00:39:11,240 --> 00:39:16,280
1915
+ ุทูˆู„ ู„ูŠุณุช one to one ุชู…ุงู… ู only one element of the
1916
+
1917
+ 480
1918
+ 00:39:16,280 --> 00:39:22,820
1919
+ domain is mapped to any given one element of range
1920
+
1921
+ 481
1922
+ 00:39:22,820 --> 00:39:30,880
1923
+ ูู‚ุท preimage ูˆุงุญุฏุฉ ู„ูƒู„Element ููŠ ุงู„ range ุทูŠุจ ููŠ
1924
+
1925
+ 482
1926
+ 00:39:30,880 --> 00:39:36,280
1927
+ ุงู„ุญุงู„ู‡ ุฏูŠ ุงู„ domain ูˆ ุงู„ range ุญุชู…ุง ู‡ูŠุณูˆุง ุจุนุถ ุตุญ
1928
+
1929
+ 483
1930
+ 00:39:36,280 --> 00:39:39,500
1931
+ ู„ุฅู† ูƒู„ ุนู†ุตุฑ ููŠ ุงู„ domain ู‡ูŠุฑูˆุญ ูŠู…ุง ุงู„ mapping
1932
+
1933
+ 484
1934
+ 00:39:39,500 --> 00:39:44,000
1935
+ ู„ุนู†ุตุฑ ูˆุงุญุฏ ููŠ ุงู„ range ูˆ ูƒู„ ุนู†ุตุฑ ููŠ ุงู„ range ุงุญู†ุง
1936
+
1937
+ 485
1938
+ 00:39:44,000 --> 00:39:48,820
1939
+ ุฌุงุจูŠู†ู‡ ู…ู† ุนู†ุตุฑ ูˆุงุญุฏ ููŠ ุงู„ domain ูู‚ุท ูุฅุฐุง ุฃูƒูŠุฏ
1940
+
1941
+ 486
1942
+ 00:39:48,820 --> 00:39:52,340
1943
+ ู‡ูŠูƒูˆู† ุงู„ ุงุชู†ูŠู† have the same cardinality ู†ูุณ
1944
+
1945
+ 487
1946
+ 00:39:52,340 --> 00:39:56,020
1947
+ ุงู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ููŠ ุงู„ domain ููŠ ุงู„ range ุทุจ ูˆ ุงู„
1948
+
1949
+ 488
1950
+ 00:39:56,020 --> 00:39:56,400
1951
+ codomain
1952
+
1953
+ 489
1954
+ 00:39:59,670 --> 00:40:04,250
1955
+ ู†ุนุฑูุด ุงุญู†ุง ุงู„ุนู„ุงู‚ุฉ ุงู„ูˆุงุถุญุฉ actually ุงู† ูƒู„ ูˆุงุญุฏ ููŠ
1956
+
1957
+ 490
1958
+ 00:40:04,250 --> 00:40:07,690
1959
+ ุงู„ range ู‡ูˆ ูŠู‚ุงุจู„ ูˆุงุญุฏ ููŠ ุงู„ domain ุงู„ code domain
1960
+
1961
+ 491
1962
+ 00:40:07,690 --> 00:40:10,230
1963
+ ู†ุนุฑูุด ู„ุฃู† ุงู„ application ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญุฏุฏู†ุง ุงู„ code
1964
+
1965
+ 492
1966
+ 00:40:10,230 --> 00:40:15,070
1967
+ domain ูŠู…ูƒู† ูŠูƒูˆู† ุงูƒุชุฑ ุงูˆ ุงู‚ู„ ุจูŠุนุฑูุด ุชู…ุงู… ูู…ู…ูƒู†
1968
+
1969
+ 493
1970
+ 00:40:15,070 --> 00:40:20,720
1971
+ ูŠูƒูˆู† ุงูƒุชุฑ ู…ู…ูƒู†ุงู„ุงู† ูƒู„ element ููŠ ุงู„ domain ู‡ูˆ
1972
+
1973
+ 494
1974
+ 00:40:20,720 --> 00:40:25,440
1975
+ injected ุจูŠุญู‚ู‚ ุงู† ูƒู„ element ููŠ ุงู„ domain ูุนู„ูŠุง
1976
+
1977
+ 495
1978
+ 00:40:25,440 --> 00:40:30,280
1979
+ ุนุดุงู† ุงุดูˆู ุชุฃุซูŠุฑ ุงู„ function ุนู„ูŠู‡ ู‡ูŠูˆุญ ุนู„ู‰ ุงู†ุตุฑ
1980
+
1981
+ 496
1982
+ 00:40:30,280 --> 00:40:35,700
1983
+ ูˆุงุญุฏ ูู‚ุท ููŠ ุงู„ range ููƒู„ ูˆุงุญุฏ ู„ู‡ different element
1984
+
1985
+ 497
1986
+ 00:40:35,700 --> 00:40:38,560
1987
+ of range ุนุดุงู† ู‡ูŠูƒ ุทุจุนุง ู‚ู„ู†ุง ุงู„ู…ุฑุงุญุถุฉ ุงู„ุฃูˆู„ู‰ ุงู†
1988
+
1989
+ 498
1990
+ 00:40:38,560 --> 00:40:42,440
1991
+ ุงูƒูŠุฏ ู„ุงุฒู… ุงู„ domain ู‡ูŠุณุงูˆ๏ฟฝ๏ฟฝ ุงู„ range ูƒูŠู ุจู†ู…ุซู„ู‡ุง ุฒูŠ
1992
+
1993
+ 499
1994
+ 00:40:42,440 --> 00:40:46,340
1995
+ ู…ุง ู‚ู„ู†ุง ุจุงู„ bipartateุŸุจุงู„ู€ bipartate ุญุงู„ุฉ ุฒูŠ ุงู„ู„ูŠ
1996
+
1997
+ 500
1998
+ 00:40:46,340 --> 00:40:49,080
1999
+ .. ุงู„ู„ูŠ ู‡ู†ุง ู‡ูŠ ูˆุงุญุฏุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู†ุจุฏุฃ ููŠ ุงู„ุฃูˆู„ู‰
2000
+
2001
+ 501
2002
+ 00:40:49,080 --> 00:40:56,520
2003
+ ุงู„ุฃูˆู„ู‰ one to one ุจุงูŠู†ุฉ ูƒู„ ุฃู†ุตุฑ mapping ุฃูˆ ุจูŠุตูŠุฑู„ู‡
2004
+
2005
+ 502
2006
+ 00:40:56,520 --> 00:41:01,240
2007
+ mapped ุฃูˆ ุจูŠุตูŠุฑู„ู‡ under if ุฃู†ุตุฑ ูˆุงุญุฏ ูู‚ุท ูˆู‡ู†ุง ู†ูุณ
2008
+
2009
+ 503
2010
+ 00:41:01,240 --> 00:41:04,220
2011
+ ุงู„ูƒู„ุงู… ุฃู†ุตุฑ ุฃู†ุตุฑ ุฃู†ุตุฑ ุงู„ domain ูˆ ุงู„ codomain
2012
+
2013
+ 504
2014
+ 00:41:04,220 --> 00:41:07,220
2015
+ ุจูŠูุฑุฌุด ู…ุนุงู†ุง ุญุฌู…ู‡ู… ู„ูƒู† ุงู„ู„ูŠ ุจูŠูุฑุฌ ู…ุนุงูŠุง ุฃู† ุงู„
2016
+
2017
+ 505
2018
+ 00:41:07,220 --> 00:41:11,680
2019
+ range ูŠุณุงูˆูŠ ุงู„ domain ุจุงู„ุธุจุท ุงู„ domain ู‡ู†ุง ุฃุฑุจุนุฉ
2020
+
2021
+ 506
2022
+ 00:41:11,680 --> 00:41:16,060
2023
+ ุงู„ range ุฃุฑุจุนุฉุฎู„ุงุต ุงู„ code domain ุฅูŠุด ู…ุง ูŠุทู„ุน ูŠุทู„ุน
2024
+
2025
+ 507
2026
+ 00:41:16,060 --> 00:41:22,760
2027
+ ูู‡ุฏูŠ one to one ุงู„ุชุงู†ูŠุฉ ุงูƒูŠุฏ ู„ุฃ ู‡ุฏูŠ function ูุนู„ูŠุง
2028
+
2029
+ 508
2030
+ 00:41:22,760 --> 00:41:26,720
2031
+ function ู‡ุงู†ุฏูŠ two pre image ุงู„ู„ูŠ ู‡ู… ู†ูุณ ุงู„ output
2032
+
2033
+ 509
2034
+ 00:41:26,720 --> 00:41:30,120
2035
+ ุฒูŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ุฃูŠ ุญุงู„ุฉ ู…ู† ุงู„ุญู„ุงุช okay
2036
+
2037
+ 510
2038
+ 00:41:30,120 --> 00:41:38,380
2039
+ ู„ูƒู† ู„ูŠุณุช one to one ุงู„ุทูŠุจ ุงู„ุชุงู„ุชุฉ ู„ูŠุด unstable
2040
+
2041
+ 511
2042
+ 00:41:42,110 --> 00:41:45,930
2043
+ ู‡ู†ุง ุบูŠุฑ ู…ุณุชู‚ุฑุฉ ุงู„ function ูŠุนู†ูŠ ุจู…ุนู†ู‰ ุฃู†ุช ุจุชุนุทูŠู‡ุง
2044
+
2045
+ 512
2046
+ 00:41:45,930 --> 00:41:50,750
2047
+ ุงู„ input ูƒู„ ู…ุฑุฉ ุจุชุนุทูŠูƒ output ุดูƒู„ ู…ุฑุฉ ุจุชุนุทูŠูƒ ุงู„
2048
+
2049
+ 513
2050
+ 00:41:50,750 --> 00:41:53,470
2051
+ output ู‡ุฐุง ูˆ ู…ุฑุฉ ุจุชุนุทูŠูƒ ุงู„ output ู‡ุฐุง ู…ุน ุฃู†ู‡ ู†ูุณ
2052
+
2053
+ 514
2054
+ 00:41:53,470 --> 00:41:58,330
2055
+ ุงู„ input ูู‡ุฐู‡ unstableู‡ูŠูƒ ุงู„ function unstable
2056
+
2057
+ 515
2058
+ 00:41:58,330 --> 00:42:02,350
2059
+ ูู‡ุฐู‡ ู„ูŠุณุช function ู…ู† ุงู„ุฃุณุงุณ ู‡ุฐู‡ ุจุงู„ุฃุณุงุณ ู„ูŠุณุช
2060
+
2061
+ 516
2062
+ 00:42:02,350 --> 00:42:04,610
2063
+ function ุจุชุนุงู…ู„ุด ู…ุนู‡ุง ุฃู† ู‡ูŠ function ู‡ุฐู‡
2064
+
2065
+ 517
2066
+ 00:42:04,610 --> 00:42:08,190
2067
+ ุจุงู„ู†ุณุจุงู„ู†ุง ุญุชู‰ ู„ูˆ ููŠ ุงู„ signal ูˆู„ุง ููŠ ุฃูŠ ู…ุงุฏุฉ
2068
+
2069
+ 518
2070
+ 00:42:08,190 --> 00:42:10,830
2071
+ ุฃุฎุฏุชูˆู‡ุง ุจุชุณู…ูˆู‡ุง unstable ุจู…ุนู†ู‰ ุฃู† ู‡ูŠ ุบูŠุฑ ู…ู‚ุจูˆู„
2072
+
2073
+ 519
2074
+ 00:42:10,830 --> 00:42:13,930
2075
+ ุฃุตู„ุง ุชุชุณูŠุจูˆู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุบูŠุฑ ู…ู‚ุจูˆู„ ุชุฑูƒู‡ุง ุจู‡ุฐุง
2076
+
2077
+ 520
2078
+ 00:42:13,930 --> 00:42:18,850
2079
+ ุงู„ุดูƒู„ ุทูŠุจ ููŠ ุงู„ู…ู‚ุงุจู„ ุงู„ into ู‡ุฐุง ู…ู…ูƒู† ูŠุนุทูŠู†ูŠ ุนุดุงู†
2080
+
2081
+ 521
2082
+ 00:42:18,850 --> 00:42:22,710
2083
+ ุฃู‚ูˆู„ ุฃู† ู‡ูŠ unto ุนููˆุง one to one ู„ุณู‡ ู…ุงุตู„ู†ุงุด ู„ู„unto
2084
+
2085
+ 522
2086
+ 00:42:22,710 --> 00:42:27,460
2087
+ ุงู„ one to one sufficient conditionูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู†
2088
+
2089
+ 523
2090
+ 00:42:27,460 --> 00:42:30,260
2091
+ ููŠ ุดุฑุท ูƒุงููŠ ุฃู†ูŠ ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู„ function ู‡ุชูƒูˆู† ูุนู„ุง
2092
+
2093
+ 524
2094
+ 00:42:30,260 --> 00:42:36,740
2095
+ one to one ููŠ ุดุฑุท ุฃูˆ ุฃุญุฏ ุงู„ุดุฑุทูŠู† ูŠุชุญู‚ู‚ ุงู„ุญู‚ูŠู‚ุฉ ุจุณ
2096
+
2097
+ 525
2098
+ 00:42:36,740 --> 00:42:41,800
2099
+ ู‡ู… ู…ูู‡ูˆู…ุง ุดุฑุท ูˆุงุญุฏ ุฃู†ู‡ ูŠูƒูˆู† monotonically
2100
+
2101
+ 526
2102
+ 00:42:41,800 --> 00:42:47,180
2103
+ increasing ุฃูˆ decreasing mono monotonic ู…ู† ูƒู„ู…ุฉ
2104
+
2105
+ 527
2106
+ 00:42:47,180 --> 00:42:52,580
2107
+ mono ุฃุญุงุฏูŠ ุบูŠุฑ stereo ู…ุด mono ูˆ stereo ุงู„ุฃุนูˆุงู† ูƒู„ู‡
2108
+
2109
+ 528
2110
+ 00:42:52,580 --> 00:42:57,090
2111
+ stereo mono ุงู„ู„ูŠ ู‡ูˆ ูƒุงู† ุฃุญุงุฏูŠูˆุญุฏู‰ ู…ุนู†ุงุชู‡ ูˆุญุฏู‰
2112
+
2113
+ 529
2114
+ 00:42:57,090 --> 00:43:00,590
2115
+ ุงู„ุงุชุฌุงู‡ ุงู…ุง ููŠ ุงุชุฌุงู‡ ุงู„ increasing ุงูˆ ุงู„
2116
+
2117
+ 530
2118
+ 00:43:00,590 --> 00:43:03,810
2119
+ decreasing ุจู…ุนู†ู‰ ุงู† ุงู„ function ุงู…ุง ุชุณุงุนุฏูŠุฉ ุงูˆ
2120
+
2121
+ 531
2122
+ 00:43:03,810 --> 00:43:11,170
2123
+ ุชู†ุงุฒู„ูŠุฉ ุจุณ ุทูŠุจ ุงู„ู…ุซุงู„ ุงู„ู„ู‰ ุชูˆุดูู†ุงู‡ ุงู„ู„ู‰ ู‚ูˆู„ู†ุง ุนู„ูŠู‡
2124
+
2125
+ 532
2126
+ 00:43:11,170 --> 00:43:15,370
2127
+ ู„ูŠุณุช onto ู‡ูŠ ุชู†ุงุฒู„ูŠุฉ ู…ู…ุชุงุฒ ุจุณ ุงุฌุช ุนู†ุฏ ู†ู‚ุทุฉ ู…ุนูŠู†ุฉ
2128
+
2129
+ 533
2130
+ 00:43:15,370 --> 00:43:18,450
2131
+ ูˆุฑุฌุนุช ุชุณุงุนุฏูŠุฉ ู not mono
2132
+
2133
+ 534
2134
+ 00:43:21,030 --> 00:43:25,710
2135
+ not mono ู„ูƒู† ู„ู…ุง ุชู‚ูˆู„ ู„ูŠู‡ ู‡ูŠ ุชุตุงุนุฏูŠุฉ ูˆ ุจุณ
2136
+
2137
+ 535
2138
+ 00:43:25,710 --> 00:43:29,470
2139
+ monotonic
2140
+
2141
+ 536
2142
+ 00:43:29,470 --> 00:43:36,530
2143
+ increasing ูู‡ูŠ ุฃุญุฏูŠุฉ ุงู„ุชุตุงุนุฏ ุฃุญุฏูŠุฉ ุงู„ุชุตุงุนุฏ ุฎู„ุงุต ู…ู†
2144
+
2145
+ 537
2146
+ 00:43:36,530 --> 00:43:40,870
2147
+ minus infinity to infinity ุจูŠุจู‚ู‰ ุงู„ู…ุชุตุงุนุฏุฉ ู…ุนุฏู„
2148
+
2149
+ 538
2150
+ 00:43:40,870 --> 00:43:44,090
2151
+ ุงู„ุชุตุงุนุฏ ุจูŠุฌู„ ุจูŠุฒูŠุฏ ู…ุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ ู‡ู†ุง ู…ุซู„ุง ูƒุงู† ุญุงุฏ
2152
+
2153
+ 539
2154
+ 00:43:44,090 --> 00:43:47,490
2155
+ ุฌุฏุง ูˆ ุจุนุฏูŠู† ุจุฏุฃ ูŠุฌู„ ุฒูŠ ุงู„ exponential ู…ุซู„ุง ุจุณ
2156
+
2157
+ 540
2158
+ 00:43:47,490 --> 00:43:52,060
2159
+ ุชุตุงุนุฏูŠุฉ ุฏู„ุชุจุชุจู‚ู‰ ุงุณู…ู‡ุง ุชุตุนูˆุฏูŠุฉ ู‡ุงุฏูŠ one to one ุงูˆ
2160
+
2161
+ 541
2162
+ 00:43:52,060 --> 00:43:58,340
2163
+ ุชู†ุงุฒู„ูŠุฉ decreasing
2164
+
2165
+ 542
2166
+ 00:43:58,340 --> 00:44:03,800
2167
+ ุจุณ monotonic ููŠ ุงู„ุขุฎุฑ ูˆ ุญุงุฏูŠุฉ ุงู„ุงุชุฌุงู‡ ุงุฐุง ู‡ุฐุง
2168
+
2169
+ 543
2170
+ 00:44:03,800 --> 00:44:07,900
2171
+ ุงู„ูƒู„ุงู… ุชุญู‚ู‚ ูˆ ุงู†ุช ุจุชุญู‚ู‚ ุฎู„ูŠู†ูŠ ู‡ู†ุง ููŠ ุงู„ุฃูˆู„ู‰ ุจุชุญู‚ู‚
2172
+
2173
+ 544
2174
+ 00:44:07,900 --> 00:44:10,600
2175
+ ุงุฐุง ูƒุงู† ุจุชูƒู„ู… ุนู† ุงู„ increasing ููŠ ุง๏ฟฝ๏ฟฝุจุฏุงูŠุฉ
2176
+
2177
+ 545
2178
+ 00:44:10,600 --> 00:44:15,820
2179
+ increasing ู„ X ูˆุงุญุฏ ูˆ X ุงุชู†ูŠู† ูŠุนู†ูŠ ู„ ุฃูŠ two points
2180
+
2181
+ 546
2182
+ 00:44:16,830 --> 00:44:23,090
2183
+ ู„ุฃูŠ two points ุฅุฐุง X1 ุฃุตุบุฑ ู…ู† X2 ูุงู„ functional
2184
+
2185
+ 547
2186
+ 00:44:23,090 --> 00:44:25,370
2187
+ value ุจุชุงุนุชู‡ุง ุจุฑุถู‡ ุฃุตุบุฑ ู…ู† ุงู„ functional value ู„
2188
+
2189
+ 548
2190
+ 00:44:25,370 --> 00:44:34,610
2191
+ X2 X1
2192
+
2193
+ 549
2194
+ 00:44:34,610 --> 00:44:41,230
2195
+ ุฃุตุบุฑ ู…ู† X2 ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู† ุงู„ F of X1 ู„ุงุฒู… ุชูƒูˆู† ุจุฑุถู‡
2196
+
2197
+ 550
2198
+ 00:44:41,230 --> 00:44:47,400
2199
+ ุฃู‚ู„ ู…ู†F of X2 ุจู…ุนู†ู‰ ุฅุฐุง ูƒุงู† X1 ุฃุตุบุฑ ู…ู† X2 ู„ุงุฒู…
2200
+
2201
+ 551
2202
+ 00:44:47,400 --> 00:44:53,800
2203
+ ุชูƒูˆู† Y1 ุฃุตุบุฑ ู…ู† Y2 ููŠ ู†ูุณ ุงู„ุงุชุฌุงู‡ ุชู…ุงู… ุฃู…ุง ููŠ ุญุงู„ุฉ
2204
+
2205
+ 552
2206
+ 00:44:53,800 --> 00:44:58,760
2207
+ ุงู„ decreasing ุจุงู„ุนูƒุณ ู‡ุชูƒูˆู† ุฅูŠุด ุจุงู„ุนูƒุณ ุฎู„ู‘ูŠู†ูŠ ุฃู†ุง
2208
+
2209
+ 553
2210
+ 00:44:58,760 --> 00:45:02,560
2211
+ ุฃุฎุฏ ู…ุซู„ุง ู‡ู†ุง ู„ุฃ ุฎู„ู‘ูŠู†ูŠ ุฃู†ุง ุฃุฎุฏู‡ุง ููŠ ุงู„ู…ูˆุฌุจ ุนุดุงู†
2212
+
2213
+ 554
2214
+ 00:45:02,560 --> 00:45:06,700
2215
+ ุจุฏูŠุด ุชุชุฎุฑุจุทูˆุง ู…ุนุงู‡ ููŠ ุงู„ุณุงู„ุจ ู‡ุงูŠ ุญุงู„ุชูŠู† ุฒูŠ ู‡ุฏูˆู„
2216
+
2217
+ 555
2218
+ 00:45:10,040 --> 00:45:21,120
2219
+ ู‡ูŠ X1 ูˆ X2 ูˆู‡ู†ุง X1 F of X1 F of X2 ู„ุงุญุธูˆุง X1 ุฃุตุบุฑ
2220
+
2221
+ 556
2222
+ 00:45:21,120 --> 00:45:28,280
2223
+ ู…ู† X2 ุจุณ ููŠ ุงู„ู…ู‚ุงุจู„ F of X1 ุฃูƒุจุฑ ู…ู† F of X2 ุฅุฐุง
2224
+
2225
+ 557
2226
+ 00:45:28,280 --> 00:45:34,220
2227
+ ูุนู„ุง ู„ุทูˆู„ ุงู„ function ุฃูŠ ู‚ูŠู…ุชูŠู† ุจุชุงุฎุฏู‡ู… ุฏุงูŠู…ุง ู†ูุณ
2228
+
2229
+ 558
2230
+ 00:45:34,220 --> 00:45:36,520
2231
+ ุงู„ relation ู‡ูŠูƒ ู…ุนู†ุงุชู‡ ุฏุงูŠู…ุง increasingุŒ
2232
+
2233
+ 559
2234
+ 00:45:36,520 --> 00:45:43,050
2235
+ decreasingู„ุฃูŠ ู†ู‚ุทูŠู† .. ุฃูŠ ู†ู‚ุทูŠู† ุจุชุงุฎุฏู‡ู… ุนู„ู‰ ุงู„
2236
+
2237
+ 560
2238
+ 00:45:43,050 --> 00:45:48,510
2239
+ curve ูŠุนู†ูŠ ุจู…ุนู†ู‰ ุฃูŠ two elements ู…ู† ุงู„ domain ู…ู†
2240
+
2241
+ 561
2242
+ 00:45:48,510 --> 00:45:51,510
2243
+ ุงู„ domain ุงู„ ratio ุจุชุถุงู„ู‡ู… ุจู‡ุฐุง ุงู„ุดูƒู„ ุฏุงุฆู…ุง ..
2244
+
2245
+ 562
2246
+ 00:45:51,510 --> 00:45:54,910
2247
+ ุฏุงุฆู…ุง ุนูƒุณูŠุฉ ูู‡ูŠ ุฏุงุฆู…ุง decreasing .. ุฏุงุฆู…ุง
2248
+
2249
+ 563
2250
+ 00:45:54,910 --> 00:45:58,250
2251
+ decreasing ุฃู…ุง ุฅุฐุง ุชุฑุถูŠุฉ ูˆุงู„ู„ู‡ ุจูŠุฒูŠุฏูˆุง ู…ุน ุจุนุถ
2252
+
2253
+ 564
2254
+ 00:45:58,250 --> 00:46:00,910
2255
+ ู…ุนู†ุงุชู‡ ุจุชุฒูŠุฏ ูƒู…ุงู† ุงู„ y's ุชุจุนุชู‡ู… ุฃูˆ ุงู„ output ุชุจุนู‡ู…
2256
+
2257
+ 565
2258
+ 00:46:00,910 --> 00:46:05,290
2259
+ ุฎู„ุงุต ู…ุนู†ุงุชู‡ ุฏุงุฆู…ุง increasing ู automatic ุจู‚ูˆู„ ุนู†ู‡ุง
2260
+
2261
+ 566
2262
+ 00:46:05,290 --> 00:46:09,940
2263
+ one to oneุนู„ู‰ ุทูˆู„ ุจู†ู‚ูˆู„ ุนู†ู‡ุง ุฅูŠุดุŸ one to one ุฃู…ุซู„ุฉ
2264
+
2265
+ 567
2266
+ 00:46:09,940 --> 00:46:17,940
2267
+ ุนู„ูŠู‡ุง ุฒูŠ ู…ุซู„ุง ุงู„ X ุชูƒุนูŠุจ ุงู„ X ุชูƒุนูŠุจ ู…ู† ุงู„ุฃู…ุซู„ุฉ
2268
+
2269
+ 568
2270
+ 00:46:17,940 --> 00:46:30,720
2271
+ ุงู„ู…ุดู‡ูˆุฑุฉ ุฌุฏุง ู„ ุงู„ one to one ู‡ุงูŠ
2272
+
2273
+ 569
2274
+ 00:46:30,720 --> 00:46:35,240
2275
+ X ุชูƒุนูŠุจ
2276
+
2277
+ 570
2278
+ 00:46:37,650 --> 00:46:44,770
2279
+ Y ุชุณุงูˆูŠ X ุชูƒุนูŠุจ ุฃูˆ Y F of X ุชูƒุนูŠุจ of X ุชูƒุนูŠุจ ูˆูŠู†
2280
+
2281
+ 571
2282
+ 00:46:44,770 --> 00:46:54,390
2283
+ ุฑูˆุญุช ุงู„ .. ู†ูƒุชุจู‡ุง ุจุดูƒู„ ุฃูˆุถุญ ุชูƒุนูŠุจ
2284
+
2285
+ 572
2286
+ 00:46:54,390 --> 00:46:59,770
2287
+ ุฃูˆ Y ุชุณุงูˆูŠ F of X ูˆ F of X ู‡ู†ุง ุชุณุงูˆูŠ X ุชูƒุนูŠุจ ู‡ุฐู‡
2288
+
2289
+ 573
2290
+ 00:46:59,770 --> 00:47:03,690
2291
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุฏุงุฆู…ุง increasing ูˆู„ุง
2292
+
2293
+ 574
2294
+ 00:47:03,690 --> 00:47:07,880
2295
+ decreasing increasingุจุงุฒุฏูŠุงุฏ .. ุจุงุณุชู…ุฑุงุฑ ู…ุณุชู…ุฑ ..
2296
+
2297
+ 575
2298
+ 00:47:07,880 --> 00:47:11,720
2299
+ monotonic ูุฅุฐุง ู‡ุฐู‡ ุนู„ู‰ ุทูˆู„ one to one ุทุจ ููŠ
2300
+
2301
+ 576
2302
+ 00:47:11,720 --> 00:47:19,100
2303
+ ุงู„ู…ู‚ุงุจู„ ูˆุงุญุฏ ุนู„ู‰ X ูˆุงุญุฏ ุนู„ู‰ X ู†ุฑุณู…ู‡ุง ุนู„ู‰ ู†ูุณ ุงู„
2304
+
2305
+ 577
2306
+ 00:47:19,100 --> 00:47:24,780
2307
+ curve ุจุณ ุจู„ูˆู† ุชุงู†ูŠ ุชูƒูˆู†
2308
+
2309
+ 578
2310
+ 00:47:24,780 --> 00:47:29,320
2311
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ุงู„ุฃุญู…ุฑ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ
2312
+
2313
+ 579
2314
+ 00:47:29,320 --> 00:47:35,220
2315
+ ุนู„ู‰ X ู…ุงู„ู‡ุง
2316
+
2317
+ 580
2318
+ 00:47:35,220 --> 00:47:35,680
2319
+ ู‡ุฐู‡ุŸ
2320
+
2321
+ 581
2322
+ 00:47:38,460 --> 00:47:45,400
2323
+ ู„ูŠุดุŸ ู‡ูŠ .. ูŠุนู†ูŠ ู…ุด ู…ู† minus infinityุŸ ู‡ูŠ ู…ู† minus
2324
+
2325
+ 582
2326
+ 00:47:45,400 --> 00:47:52,680
2327
+ infinity ูˆ ุชู†ุงุฒู„ูŠุฉ ูˆ ู‡ูŠ ุชู†ุงุฒู„ูŠุฉ ุฅูŠุด
2328
+
2329
+ 583
2330
+ 00:47:52,680 --> 00:47:57,840
2331
+ ู…ุดูƒู„ุชูƒูˆุง ู…ุนู‡ุงุŸ
2332
+
2333
+ 584
2334
+ 00:47:57,840 --> 00:48:04,690
2335
+ at ุตูุฑ ุฃูŠูˆุฉ two valuesุนู†ุฏ ุงู„ุตูุฑ ููŠ ุนู†ุฏูƒ two values
2336
+
2337
+ 585
2338
+ 00:48:04,690 --> 00:48:17,050
2339
+ ูู‡ูŠ not continuous ู‡ูŠ ู„ูŠุณุช ู…ุณุชู…ุฑุฉ ุงู„ุตูุฑ
2340
+
2341
+ 586
2342
+ 00:48:17,050 --> 00:48:23,910
2343
+ ู…ู† ุงู„ domain ูˆู„ุง ู„ุฃ ู…ู† ุงู„ domain ุฎู„ูŠู†ุง ุฎุทูˆุฉ ุฎุทูˆุฉ
2344
+
2345
+ 587
2346
+ 00:48:23,910 --> 00:48:25,010
2347
+ ู‡ูŠ ู…ู† ุงู„ domain
2348
+
2349
+ 588
2350
+ 00:48:27,880 --> 00:48:32,680
2351
+ ู„ุฃ ุณูŠุจูƒ ู…ู†ู‡ ุงู† ุณุงู„ ุงู„ function ุงู„ domain ุงู„ domain
2352
+
2353
+ 589
2354
+ 00:48:32,680 --> 00:48:36,360
2355
+ ุชุจุนู†ุง ู…ุด ู…ู† minus infinity ุชูˆ infinity domain
2356
+
2357
+ 590
2358
+ 00:48:36,360 --> 00:48:39,660
2359
+ ู…ุงุชูƒู„ู…ุชุด ุนู† ุงู„ code domain ุจุชูƒู„ู… ุนู† ุงู„ domain
2360
+
2361
+ 591
2362
+ 00:48:39,660 --> 00:48:44,460
2363
+ ุจู…ุนู†ู‰ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู† input ู„ู„ function ุจุบุถ
2364
+
2365
+ 592
2366
+ 00:48:44,460 --> 00:48:48,720
2367
+ ุงู„ู†ุธุฑ ุงู†ุง ุนุงุฑู ุงู„ function ูˆู„ุง ู…ุด ุนุงุฑูู‡ุง ู„ุณู‡ ู…ูˆุฌูˆุฏ
2368
+
2369
+ 593
2370
+ 00:48:48,720 --> 00:48:55,760
2371
+ ู…ูˆุฌูˆุฏ ูŠุนู†ูŠ ูุนู„ุง ู…ูˆุฌูˆุฏ ุจู…ุนู†ู‰ ุงู†ู‡ ู…ู…ูƒู† ุงุนุชุจุงุฑู‡ a
2372
+
2373
+ 594
2374
+ 00:49:01,650 --> 00:49:04,530
2375
+ ูŠุง ุฌู…ุงุนุฉ ูŠุง ุฌู…ุงุนุฉ ุงู†ุชูˆุง ุฎุฑุจุทุช ุงู„ domain ู…ุน ุงู„ code
2376
+
2377
+ 595
2378
+ 00:49:04,530 --> 00:49:07,450
2379
+ main ููŠ ุงู„ domain ุงู„ domain ุจุนุฑู ู…ู† ุงู„ุฃูˆู„ ูˆ ุฎู„ุตู†ุง
2380
+
2381
+ 596
2382
+ 00:49:08,280 --> 00:49:10,940
2383
+ ุงู„ domain ุชุจุนู†ุง ู…ู† minus infinity to infinity ุฎู„ุงุต
2384
+
2385
+ 597
2386
+ 00:49:10,940 --> 00:49:15,660
2387
+ ุงู„ุงู† ู…ุด ุฐู†ุจ ุงู„ domain ุงู†ู‡ ููŠ ุนู†ุตุฑ ุงู„ function
2388
+
2389
+ 598
2390
+ 00:49:15,660 --> 00:49:21,800
2391
+ undefined ุจุงู„ู†ุณุจุฉ ู„ู„ function ู…ู† ุงู„ range ุงุชูƒู„ู…ู„ูŠ
2392
+
2393
+ 599
2394
+ 00:49:21,800 --> 00:49:24,680
2395
+ ููŠ ุงู„ range ุงู†ุช ุญุฑ ู‚ูˆู„ู„ูŠ ุงู‡ ูˆู„ุง ู…ุธู‡ุฑุด ููŠ ุงู„ range
2396
+
2397
+ 600
2398
+ 00:49:24,680 --> 00:49:28,340
2399
+ ู…ุงุดูŠ ุจุณ ู…ุงุชุชูƒู„ู…ุด ุนู„ู‰ ุงู„ domain ุงู„ domain ุนุฑูู†ุงู‡ ู…ู†
2400
+
2401
+ 601
2402
+ 00:49:28,340 --> 00:49:31,780
2403
+ ุงู„ุฃูˆู„ ู‚ูˆู„ู†ุง ู…ู† minus infinity to infinity ุจู…ุนู†ู‰ ุงู†
2404
+
2405
+ 602
2406
+ 00:49:31,780 --> 00:49:38,670
2407
+ ุงู„ X belong to Rุงู„ู€ Range ุจู…ุนู†ู‰ ุงู„ .. ุงู„ .. ุงู„ ..
2408
+
2409
+ 603
2410
+ 00:49:38,670 --> 00:49:42,790
2411
+ ุงู„ belonging to mean to R ุฎู„ุงุต ูุฅุฐุง ู‡ุฐุง ู…ุนู†ุงู‡ ุฃู†ู‡
2412
+
2413
+ 604
2414
+ 00:49:42,790 --> 00:49:47,710
2415
+ A ุงู„ู…ู…ูƒู†ุฉ ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ุง belong to capital R ู„ุฃู† ู‡ุฐุง
2416
+
2417
+ 605
2418
+ 00:49:47,710 --> 00:49:52,370
2419
+ ู‡ูˆ ุงู„ domain ู‡ุฐุง ู‡ูˆ ุฅูŠุดุŸ ุงู„ domain ุงู„ู„ูŠ ุนู†ุฏู†ุง ุฎู„ุงุต
2420
+
2421
+ 606
2422
+ 00:49:52,370 --> 00:49:58,530
2423
+ ุจุชุนุงู…ู„ ู…ุนุงู‡ ู†ุชุนุงู…ู„ ู…ุนุงู‡ ูˆุฌุฏู†ุง ุฃู†ู‡ ุนู†ุฏ ู†ู‚ุทุฉ ู…ุนูŠู†ุฉ
2424
+
2425
+ 607
2426
+ 00:49:58,530 --> 00:50:07,410
2427
+ ุนู†ุฏ input ู…ุนูŠู† ูŠูˆุฌุฏ two outputsู‡ูŠู‡ุง ุนู†ุฏ ู†ู‚ุทุฉ ู…ุนูŠู†ุฉ
2428
+
2429
+ 608
2430
+ 00:50:07,410 --> 00:50:10,450
2431
+ ู‡ูŠู‡ุง ููŠ ุงู„ domain ุชูŠุฌูŠ ู‡ุงู„ูˆู‚ุช ุนู„ู‰ ุงู„ุฑุณู…ุฉ ู‡ุฐู‡ ุชู‚ูˆู„ูŠ
2432
+
2433
+ 609
2434
+ 00:50:10,450 --> 00:50:13,430
2435
+ ู„ุฃ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู…ุด ููŠ ุงู„ domain ุทุจ ู‡ูˆ ููŠ ุงู„ domain
2436
+
2437
+ 610
2438
+ 00:50:13,430 --> 00:50:19,230
2439
+ ุงูŠุด ู‡ุณุงูˆูŠ ููŠู‡ ุทุจ ู‡ูˆ ู‚ุงุนุฏ ู‡ูŠู‡ ุงูŠูˆุง ู‚ูˆู„ูŠ ู‡ู†ุง ุจุทู„
2440
+
2441
+ 611
2442
+ 00:50:19,230 --> 00:50:22,310
2443
+ function ุงู†ุช ุญุฑ ู‡ู‚ูˆู„ูƒ ุงูŠู† ุจุงู„ุธุจุท ุจุทู„ุช ุงู„ function
2444
+
2445
+ 612
2446
+ 00:50:22,310 --> 00:50:23,970
2447
+ ู„ุฃู† ู‡ุฐู‡ ุงู„ function ู…ุนุฑูˆูุฉ ู‡ุชู‚ูˆู„ูŠ ู„ุฃ ู‡ูŠ ู…ุด
2448
+
2449
+ 613
2450
+ 00:50:23,970 --> 00:50:27,970
2451
+ function ุนู†ุฏ ุตูุฑ ู‡ู‚ูˆู„ูƒ okay ู…ุงููŠุด ู…ุดูƒู„ุฉ ุจุชุตูŠุฑ ู„ู…ุง
2452
+
2453
+ 614
2454
+ 00:50:27,970 --> 00:50:32,250
2455
+ ุจุฏู†ุง ู†ุณุชุฎุฏู…ู‡ุง ุจุฏู†ุง ู†ุงุฎุฏ ุจุงู„ู†ุง ู…ู† ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู†ู‡
2456
+
2457
+ 615
2458
+ 00:50:32,250 --> 00:50:36,460
2459
+ ุนู†ุฏ ุตูุฑ ู…ุงู†ุณุชุฎุฏู…ู‡ุงุด ุงู„ function ู‡ุฐู‡ุจุณ ุงู…ุง ู…ุด ุชู‚ูˆู„ูŠ
2460
+
2461
+ 616
2462
+ 00:50:36,460 --> 00:50:39,860
2463
+ ู„ุง ู‡ูŠ ู…ุด ููŠ ุงู„ domain ู‚ูˆู„ูŠ ู…ุงู„ู‡ุงุด element ููŠ ุงู„
2464
+
2465
+ 617
2466
+ 00:50:39,860 --> 00:50:43,840
2467
+ range okay ุจู‚ูˆู„ูƒ ู…ุงุดูŠ ุจุฏู†ุง ู…ุด ู†ุฎุฑุฌูˆุง ุงู„ู…ุตุทู„ุญุงุช
2468
+
2469
+ 618
2470
+ 00:50:43,840 --> 00:50:45,960
2471
+ ุงุญู†ุง ุนุดุงู† ุงูŠู‡ ุญุทูŠู†ุง ุดูˆูŠุฉ ู…ุตุทู„ุญุงุช terminology ููŠ
2472
+
2473
+ 619
2474
+ 00:50:45,960 --> 00:50:49,320
2475
+ ุงู„ุจุฏุงูŠุฉ ุนุดุงู† ู†ุดุชุบู„ ุนู„ูŠู‡ู… ุงู„ domain domain ุฎู„ุงุต
2476
+
2477
+ 620
2478
+ 00:50:49,320 --> 00:50:55,300
2479
+ domain domain ุงู†ุชู‡ู‰ domain
2480
+
2481
+ 621
2482
+ 00:50:55,300 --> 00:50:58,100
2483
+ ูƒู„ู‡ ุฎู„ุงุต ูƒุงู…ู„ ู…ู† minus infinity to infinity ุงู„ุงู†
2484
+
2485
+ 622
2486
+ 00:50:58,100 --> 00:51:01,160
2487
+ ุจุชุดูˆู ุจุนุฏูŠู† ุงู„ range ุชุจุนู‡ ุงูŠุด ุจูŠุทู„ุน ุงู„ range ู‡ูˆ
2488
+
2489
+ 623
2490
+ 00:51:01,160 --> 00:51:04,700
2491
+ ุงู„ู„ูŠ ุจูŠู‚ูˆู„ูƒ ู„ุฃ ุจุธุจุท ูˆู„ุง ุจุธุจุทุดุฃู…ุง ู…ุด ุงู„ domain ููŠ
2492
+
2493
+ 624
2494
+ 00:51:04,700 --> 00:51:10,140
2495
+ ุงู„ุจุฏุงูŠุฉ ุงู„ domain ุงู†ุช ู…ู…ูƒู† ู…ู†ู‡ ุงุชุญุฏุฏ ุชุนู…ู„ ู…ุญุฏุฏุงุชูƒ
2496
+
2497
+ 625
2498
+ 00:51:10,140 --> 00:51:13,980
2499
+ ุจุณ ุงู† ุงู„ range ูˆุงู„ู„ู‡ ุนู† ู‚ูŠู…ุฉ ู…ุนูŠู†ุฉ ุจุชุทู„ุนุด ูู…ุนู†ุงุชู‡
2500
+
2501
+ 626
2502
+ 00:51:13,980 --> 00:51:17,020
2503
+ ูŠุง ุฌู…ุงุนุฉ ุฅุฐุง ุจุฏูƒูˆุง ุชุณุชุฎุฏู…ูˆุง ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุงุชุณุชุฎุฏู…ูˆุด
2504
+
2505
+ 627
2506
+ 00:51:17,020 --> 00:51:21,400
2507
+ ุนู†ุตุฑ ู‡ุฐุง ู…ู† ุงู„ domain ุจุณ in general ู„ุฃ ูŠุงู„ุง
2508
+
2509
+ 628
2510
+ 00:51:21,400 --> 00:51:23,060
2511
+ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ุจู†ุดูˆููƒูˆุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ุฌุงูŠ ุงู† ุดุงุก
2512
+
2513
+ 629
2514
+ 00:51:23,060 --> 00:51:25,380
2515
+ ุงู„ู„ู‡ ุจู†ูƒู…ู„ ุงู„ู…ุญุงุถุฑุฉ .. ุงู„ุจุงู‚ูŠุฉ ุงู„ู„ูŠ ุฌุงูŠ
2516
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/aX4ewdPoCoU_postprocess.srt ADDED
@@ -0,0 +1,2400 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:04,960 --> 00:00:08,360
3
+ ุทูŠุจ ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ ูŠุง ุดุจุงุจ ู†ุจุฏุฃ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,360 --> 00:00:13,000
7
+ ุชุนุงู„ู‰ ููŠ ุฌุฒุฆูŠุฉ ุฌุฏูŠุฏุฉ ููŠ ู…ุตุงู‚ู†ุง ูˆ ุงู„ู„ูŠ ู‡ูŠ ุงู„ proof
8
+
9
+ 3
10
+ 00:00:13,000 --> 00:00:17,560
11
+ strategies ุงูˆ ุงู„ proof methods ูู…ู† ุงู„ู…ุฑุงุช ุงู„ู…ุงุถูŠุฉ
12
+
13
+ 4
14
+ 00:00:17,560 --> 00:00:20,640
15
+ ุงุชูƒู„ู…ู†ุง ุงู† ูˆุงุญุฏุฉ ู…ู† ู…ูุงุฑุถุงุช ุงู„ู…ุตุงู‚ ู‡ุชูƒูˆู† ู†ุชูƒู„ู…
16
+
17
+ 5
18
+ 00:00:20,640 --> 00:00:24,600
19
+ ููŠู‡ุง ุนู† ุงู„ strategies ุงู„ู„ูŠ ู…ู…ูƒู† ุงุชุจุงุญู‡ุง ู„ุนู…ู„ูŠุฉ ุงู„
20
+
21
+ 6
22
+ 00:00:24,600 --> 00:00:30,250
23
+ proving ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงุซุจุงุชุงุชูุงู„ูŠูˆู… ู‡ูŠูƒูˆู† ู…ุณุงู‚ู†ุง ุงูˆ ู…ุง
24
+
25
+ 7
26
+ 00:00:30,250 --> 00:00:34,150
27
+ ุญุถุฑุชู†ุง ููŠ ู‡ุฐุง ุงู„ู…ุฌุงู„ ูู‡ู†ุชูƒู„ู… ุงู†ู‡ ูุนู„ูŠุง ุงู„ proof
28
+
29
+ 8
30
+ 00:00:34,150 --> 00:00:37,550
31
+ methods ู‡ูŠ methods of mathematical argument ุงูˆ
32
+
33
+ 9
34
+ 00:00:37,550 --> 00:00:43,190
35
+ ู„ู„ู†ู‚ุงุด ุงู„ุฑูŠุงุถูŠ ุงู† ุงุญู†ุง ู†ู†ุงู‚ุด ูˆ ู†ุญุงูˆู„ ู†ุซุจุช relation
36
+
37
+ 10
38
+ 00:00:43,190 --> 00:00:49,270
39
+ ู…ุนูŠู†ุฉ ู‡ู„ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุงูˆ ู„ุง ุงูˆ ู„ุง ูู‡ุฐู‡ ู…ู…ูƒู† can be
40
+
41
+ 11
42
+ 00:00:49,270 --> 00:00:54,960
43
+ formalized ู…ู…ูƒู† ูˆุถุญ ุจุดูƒู„ุฃูˆ ู†ุนู…ู„ู‡ุง formalization
44
+
45
+ 12
46
+ 00:00:54,960 --> 00:00:59,900
47
+ ุจุงุณุชุฎุฏุงู… term of rules of logical inference ูุงู„
48
+
49
+ 13
50
+ 00:00:59,900 --> 00:01:04,180
51
+ inference ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงุณุชุฏู„ุงู„ ู†ุชูƒู„ู… ุนู† ุงู„ rule of
52
+
53
+ 14
54
+ 00:01:04,180 --> 00:01:07,700
55
+ inference ุจู…ุนู†ู‰ ู‚ูˆุงุนุฏ ุงู„ุงุณุชุฏู„ุงู„ ูุทุจูŠุนูŠ ู‚ูˆุงุนุฏ
56
+
57
+ 15
58
+ 00:01:07,700 --> 00:01:12,880
59
+ ุงู„ุงุณุชุฏู„ุงู„ ุงู„ู„ูŠ ุงู†ุชูˆุง ูƒู†ุชูˆุง ุชุงุฎุฏูˆู‡ุง ุจุดูƒู„ู‚ูˆุงู†ูŠู† ุงู„ู„ูŠ
60
+
61
+ 16
62
+ 00:01:12,880 --> 00:01:16,500
63
+ ู‡ูˆ ุงู„ู‚ุงู†ูˆู† ู‡ุฐุง ุงู„ุงุณุชุฏู„ุงู„ ุงู„ู„ูŠ ุงู†ุช ุจุชุญุท ู…ุฌู…ูˆุนุฉ ุงู„
64
+
65
+ 17
66
+ 00:01:16,500 --> 00:01:20,460
67
+ antecedents ุชุจุนุชู‡ ูˆ ู‡ูŠ ุจุชุณุชู†ู‰ ุงูˆ ุจุชุดูˆู ุงูŠุด ุงู„
68
+
69
+ 18
70
+ 00:01:20,460 --> 00:01:25,380
71
+ consequence ุงูˆ ุงู„ conclusion ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุธู‡ุฑ ูŠุทู„ุน
72
+
73
+ 19
74
+ 00:01:25,380 --> 00:01:29,850
75
+ ู…ู†ู‡ ูุจู†ุณู…ูŠู‡ุง ู‡ู†ุง logicalmathematical inference
76
+
77
+ 20
78
+ 00:01:29,850 --> 00:01:34,330
79
+ ูุทุจุนุง ููŠ ุญุงุฌุงุช ุฃุญูŠุงู†ุง ุงุณุชุฏู„ุงู„ ู…ู†ุทู‚ูŠ ุงู„ู„ูŠ ู‡ูŠ ู‚ุจู„ ู…ุง
80
+
81
+ 21
82
+ 00:01:34,330 --> 00:01:38,950
83
+ ุชุจุฏุฃ ุชุซุจุช theorem ู…ุนูŠู†ุฉ ุฃู†ุช ุจุชุซุจุช ุงู„ theorem ุฃุณุงุณุง
84
+
85
+ 22
86
+ 00:01:38,950 --> 00:01:43,190
87
+ ุจุชุญุทู‡ุง ุจุดูƒู„ ู‚ุงู†ูˆู† ู„ูƒู† ู…ู† ุงู„ุฃุณุงุณ ุฅูŠุด ุงู„ู„ูŠ ุฃุซุจุชู„ูƒ ุฃู†
88
+
89
+ 23
90
+ 00:01:43,190 --> 00:01:45,830
91
+ ู‡ุฐุง ุงู„ theorem ู‡ูŠ ุตุญูŠุญุฉ ูู…ู† ุฎู„ุงู„ ุญุงุฌุฉ
92
+
93
+ 24
94
+ 00:01:52,130 --> 00:01:55,630
95
+ be represented formally as discrete structures ู‡ูŠ
96
+
97
+ 25
98
+ 00:01:55,630 --> 00:01:59,610
99
+ ู†ูุณู‡ุง ุฃุตู„ุง ุนู…ู„ูŠุฉ ุงู„ proving ู‡ูŠ discrete structures
100
+
101
+ 26
102
+ 00:01:59,610 --> 00:02:02,770
103
+ ู…ู† ุฎู„ุงู„ ุงู„ rules ุงู„ู„ูŠ ุฃู†ุช ุจุชุณุชุฎุฏู…ู‡ุง ู‡ุฐู‡ ู…ู† ุฎู„ุงู„ ุงู„
104
+
105
+ 27
106
+ 00:02:02,770 --> 00:02:07,750
107
+ rules ุงู„ู„ูŠ ุฃู†ุช ุจุชุณุชุนู…ู„ู‡ุง ูุฎู„ุงู„ ุงู„ูŠูˆู… ู‡ู†ุงุฎุฏ ุฌุฒุฆูŠุฉ
108
+
109
+ 28
110
+ 00:02:07,750 --> 00:02:11,350
111
+ ู†ุนู…ู„ revision ููŠู‡ุง ุนู„ู‰ ุงู„ inference rules ูˆ
112
+
113
+ 29
114
+ 00:02:11,350 --> 00:02:16,450
115
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุจู†ุงุฎุฏ several proof methodsุทุฑู‚
116
+
117
+ 30
118
+ 00:02:16,450 --> 00:02:20,190
119
+ ุฅุซุจุงุชุงุช ู…ุนุชู…ุฏุฉ ุฃูˆ ู…ุณุชุฎุฏู…ุฉ ุงู„ูŠูˆู… ู‡ู†ุงุฎุฏ ุงู„
120
+
121
+ 31
122
+ 00:02:20,190 --> 00:02:23,530
123
+ introduction ุงู„ู…ู‚ุฏู…ุฉ ุงู„ู„ูŠ ู‡ู†ุชูƒู„ู… ููŠู‡ุง ุนู† ุงู„
124
+
125
+ 32
126
+ 00:02:23,530 --> 00:02:28,850
127
+ inference ู†ูุณู‡ุนู…ู„ูŠุฉ ุงู„ุงุณุชุฏู„ุงู„ ู†ูุณู‡ุง ูˆ ูƒูŠู ุชู†ุนู…ู„
128
+
129
+ 33
130
+ 00:02:28,850 --> 00:02:31,910
131
+ ุนู…ู„ูŠุฉ ุงู„ุงุณุชุฏู„ุงู„ ูˆ ุฅูŠุด ุงู„ .. ุงู„ .. ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ ุงู„
132
+
133
+ 34
134
+ 00:02:31,910 --> 00:02:36,330
135
+ rules ุงู„ุจุณูŠุทุฉ ุงู„ basics ุงู„ู„ูŠ ู…ู…ูƒู† ุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„
136
+
137
+ 35
138
+ 00:02:36,330 --> 00:02:41,710
139
+ inference ุฃูˆ ุงู„ุงุณุชุฏู„ุงู„ ู†ุจุฏุฃ ุจุดูˆูŠุฉ terminology ุงู„ู„ูŠ
140
+
141
+ 36
142
+ 00:02:41,710 --> 00:02:46,370
143
+ ู‡ูŠ terms ู†ูู‡ู…ู‡ุงุŒ ู…ุฌู…ูˆุนุฉ termsุŒ ู…ุตุทู„ุญุงุช ุจุฏู†ุง
144
+
145
+ 37
146
+ 00:02:46,370 --> 00:02:49,450
147
+ ู†ูู‡ู…ู‡ุงุŒ ุงู„ theorem ุฃูˆู„ ุดุบู„ุฉ ูƒู„ู…ุฉ theorem ุงู„ู„ูŠ ู‡ูŠ
148
+
149
+ 38
150
+ 00:02:49,450 --> 00:02:54,770
151
+ ู†ุธุฑูŠุฉุงู„ู†ุธุฑูŠุฉ ู‡ูŠ ุนุจุงุฑุฉ ุนู† statement ุทุจูŠุนูŠ ุชุตุฑูŠุญ ุฃูˆ
152
+
153
+ 39
154
+ 00:02:54,770 --> 00:03:00,290
155
+ ุญุงุฌุฉ ู…ุนู„ู†ุฉ that has been proven to be true ู‡ูŠ
156
+
157
+ 40
158
+ 00:03:00,290 --> 00:03:04,330
159
+ ู…ุซุจุชุฉ ุฃู† ู‡ูŠ ุตุญูŠุญุฉ ูุฃูŠ ุดูŠุก ู…ุซุจุช ุฃู† ู‡ูˆ ุตุญูŠุญ ุจู‚ุฏุฑ
160
+
161
+ 41
162
+ 00:03:04,330 --> 00:03:08,910
163
+ ุฃุณุชุฎุฏู‡ ููŠ ุงู„ุงุณุชุฏู„ุงู„ ู„ุฃู†ู‡ ูƒู„ู†ุง ุนุงุฑููŠู† ุฃู†ู‡ ุตุญูŠุญ ูƒู„ู†ุง
164
+
165
+ 42
166
+ 00:03:08,910 --> 00:03:12,670
167
+ ุนุงุฑููŠู† ุฃู†ู‡ ุตุญูŠุญ ุงู„ assumptionsุงู„ assumptions ุฃูˆ
168
+
169
+ 43
170
+ 00:03:12,670 --> 00:03:16,370
171
+ ุงู„ูุฑุถูŠุงุช ูˆ ุงู„ู„ูŠ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุงู† ู‡ูŠ proven ู‡ูŠ
172
+
173
+ 44
174
+ 00:03:16,370 --> 00:03:21,590
175
+ unproven ุจู…ุนู†ู‰ ู‡ูŠ ู…ุด ู…ุซุจุชุฉ ูˆู„ูƒู† ูุฑุถูŠุฉ ู…ู…ูƒู† ูˆุงุถุญุฉ
176
+
177
+ 45
178
+ 00:03:21,590 --> 00:03:25,210
179
+ ูุงู„ูุฑุถูŠุฉ ู‡ุฐู‡ ุชุนุฑู ุนู„ู‰ ุงุณุงุณ ุงู† ู‡ูŠ structure about
180
+
181
+ 46
182
+ 00:03:25,210 --> 00:03:31,590
183
+ which we are reasoning ู‡ูŠ structure ู…ุฎุตูˆุต ู„ู„ุดุบู„
184
+
185
+ 47
186
+ 00:03:31,590 --> 00:03:33,970
187
+ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ููƒุฑ ููŠู‡ุง ุจู…ุนู†ู‰ ุงู† ุงุญู†ุง ุจู†ููƒุฑ ููŠ ุญุงู„
188
+
189
+ 48
190
+ 00:03:33,970 --> 00:03:39,490
191
+ ู…ุดูƒู„ุฉ ูุงู†ุง ุจุญุทู‡ุง ุถู…ู† ูุฑุถูŠุฉ ู…ุนูŠู†ุฉ ุนุดุงู† ุงุจุฏุฃ ุฃุดุชุบู„ ูˆ
192
+
193
+ 49
194
+ 00:03:39,490 --> 00:03:45,540
195
+ ุฃุญุงูˆู„ ุฃุซุจุชุงู„ object ู‡ุฐุง ู‡ู„ ู‡ูˆ true or false ุชู…ุงู…ุŸ
196
+
197
+ 50
198
+ 00:03:45,540 --> 00:03:50,240
199
+ ู‡ู†ุดูˆูู‡ุง ุทุจุนุง ููŠ ุดุบู„ู†ุง ุงู„ rules of inference ุฃูˆ
200
+
201
+ 51
202
+ 00:03:50,240 --> 00:03:54,760
203
+ ู‚ูˆุงุนุฏ ุงู„ุงุณุชุฏู„ุงู„ ู‚ุงุนุฏุฉ ุงุณุชุฏู„ุงู„ ุฒูŠู‡ุง ุฒูŠ ุงู„ู‚ุงู†ูˆู† ูู‡ูŠ
204
+
205
+ 52
206
+ 00:03:54,760 --> 00:03:58,700
207
+ ุจุชูƒูˆู† ุนุจุงุฑุฉ ุนู† patternุŒ ู†ู…ูˆุฐุฌุŒ ู‚ุงู„ุจุŒ ู‚ุงู„ุจ ุฎู„ุงุต
208
+
209
+ 53
210
+ 00:03:58,700 --> 00:04:03,940
211
+ ุนุงุฑููŠู† ุฃู†ู‡ ู‡ุฐุง ุตุญูŠุญ ุนุงุฑููŠู† ุฃู†ู‡ ุตุญูŠุญ ุฒูŠ ุงูŠ ู‚ุงู†ูˆู†ุŒ
212
+
213
+ 54
214
+ 00:04:03,940 --> 00:04:10,620
215
+ ู‚ุงู†ูˆู†ู‚ุงู†ูˆู† ุจูŠูƒูˆู† ููŠ right and left terms ูˆ ุงุชู†ูŠู†
216
+
217
+ 55
218
+ 00:04:10,620 --> 00:04:16,680
219
+ equal ู„ุจุนุถ ูˆ ุจู†ุญุท ุงูŠ problem ุถู…ู† ู‡ุฐุง ุงู„ pattern
220
+
221
+ 56
222
+ 00:04:16,680 --> 00:04:21,680
223
+ ูู‡ูŠ ุนุจุงุฑุฉ ุนู† patterns ุงูˆ ู‚ูˆุงู„ุจ ู…ู†ุทู‚ูŠุง valid
224
+
225
+ 57
226
+ 00:04:21,680 --> 00:04:27,780
227
+ dedications fromhypotheses to conclusions ูู‡ูŠ
228
+
229
+ 58
230
+ 00:04:27,780 --> 00:04:33,460
231
+ ูุนู„ูŠุง ุจุชู‚ูˆุฏู†ุง ู…ู† ุงู„ูุฑุถูŠุงุช ู„ู„ู†ุชุงุฆุฌ ู…ู† ุงู„ูุฑุถูŠุงุช
232
+
233
+ 59
234
+ 00:04:33,460 --> 00:04:36,760
235
+ ู„ู„ู†ุชุงุฆุฌ ุจุณ ุทุจุนุง ุจูŠูƒูˆู† ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู„ rule ู‡ุฐู‡ ุงูˆ
236
+
237
+ 60
238
+ 00:04:36,760 --> 00:04:41,020
239
+ ุงู„ู‚ุงุนุฏุฉ ู‡ุฐู‡ ุงูˆ ุงู„ inference ู‡ุฐู‡ุงู„ู„ูŠ ู‡ูŠ ู‚ุงุนุฏุฉ
240
+
241
+ 61
242
+ 00:04:41,020 --> 00:04:44,680
243
+ ุงู„ุงุณุชุฏู„ุงู„ุŒ ุจุฏู‡ุง ุชูƒูˆู† ุฏุงุฆู…ุง validุŒ ุจู…ุนู†ู‰ ู‡ูŠ ุฏุงุฆู…ุง
244
+
245
+ 62
246
+ 00:04:44,680 --> 00:04:49,260
247
+ ุตุญูŠุญุฉุŒ ู‡ูŠ ุฏุงุฆู…ุง ุตุญุŒ ู…ุงุชูƒูˆู†ุด ูˆุงู„ู„ู‡ ู…ุฑุงุช ุตุญ ูˆู…ุฑุงุช
248
+
249
+ 63
250
+ 00:04:49,260 --> 00:04:54,020
251
+ ุบู„ุทุŒ ุญุณุจ ุงู„ optionุŒ ุญุณุจ ุฎู„ู‘ูŠู†ูŠ ู†ู‚ูˆู„ ุงู„ caseุŒ ูˆ
252
+
253
+ 64
254
+ 00:04:54,020 --> 00:04:57,660
255
+ ุฃูุชุฑุถ ุฃู† ู‡ูŠ rule ุฎู„ุงุตุŒ ู„ุฃ ู„ุฃ ุงู„ rule ู„ุงุฒู… ุชูƒูˆู†
256
+
257
+ 65
258
+ 00:04:57,660 --> 00:05:01,640
259
+ ุฏุงุฆู…ุงุŒ ุถุงู…ู† ุฃู† ู‡ูŠ ุฏุงุฆู…ุง ุตุญุŒ ุฏุงุฆู…ุง ุตุญุŒ ุทุจุนุง ู‡ู†ุงุฎุฏ
260
+
261
+ 66
262
+ 00:05:01,640 --> 00:05:06,120
263
+ ุฃู†ุซู‰ ุงู„ุงูƒุชูŠู ู„ุฅู„ู‡ุงูุฅุฐู† ู…ุจุฏุฃูŠุง ุงู„ basic definition
264
+
265
+ 67
266
+ 00:05:06,120 --> 00:05:10,300
267
+ ู„ู‡ุง ุงู„ theorem ุงุชูู‚ู†ุง ุนู„ูŠู‡ ู‡ูŠ ุฃูŠ ุญุงุฌุฉ ุจุชูƒูˆู† ู…ุจูŠู†
268
+
269
+ 68
270
+ 00:05:10,300 --> 00:05:14,620
271
+ ุงู† ู‡ูŠ ุฏุงุฆู…ุง ุตุญูŠุญุฉ ุงูˆ proven ู‡ูŠ ู…ุซุจุชุฉ ุงู† ู‡ูŠ ุฏุงุฆู…ุง
272
+
273
+ 69
274
+ 00:05:14,620 --> 00:05:19,520
275
+ ุตุญูŠุญุฉ ู…ุจุฏุฃูŠุง ุฏุงุฆู…ุง ู†ูุชุฑุถ ุงู†ู‡ ุนู†ุฏ ู…ุฌู…ูˆุนุฉ hypothesis
276
+
277
+ 70
278
+ 00:05:19,520 --> 00:05:27,620
279
+ H1 and H2 ุงู„ู„ูŠ ู‡ูŠ premises ุงู„ู…ู‚ุฏู…ุงุช ุงูˆ ุงู„ู…ุนุทูŠุงุช
280
+
281
+ 71
282
+ 00:05:27,620 --> 00:05:34,350
283
+ premises ู…ุนุทุฉ hypothesis ุงู„ู„ูŠ ู‡ูŠ ุงู„ูุฑุถูŠุงุช ูุฅุฐู†ู‡ุฐู‡
284
+
285
+ 72
286
+ 00:05:34,350 --> 00:05:37,550
287
+ ุงูˆ ู‡ุฐู‡ ุงู„ุงุชู†ูŠู† ุจู…ุดูŠ ุงู„ุญุงู„ ุงู„ู…ู‡ู… ุงู† ู‡ู…ุง antecedents
288
+
289
+ 73
290
+ 00:05:37,550 --> 00:05:42,070
291
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุนุทูŠุฉ ุงู„ู…ู‚ุฏู…ุงุช ู„ู„ rule ุงู„ู„ูŠ ุงุทุจู‚ ุนู„ูŠู‡ุง
292
+
293
+ 74
294
+ 00:05:42,070 --> 00:05:46,070
295
+ ุงู„ rule ู‡ู†ุทุจู‚ ุงู„ rule ุนู„ู‰ ู…ุฌู…ูˆุนุฉ h1, h2 to hn
296
+
297
+ 75
298
+ 00:05:46,070 --> 00:05:52,630
299
+ ูุนู†ุฏูŠ n hypothesis ุจุญูŠุซ ุงู†ู‡ ูŠุนุทูˆู†ูŠ ุงูŠุด conclusion
300
+
301
+ 76
302
+ 00:05:53,240 --> 00:05:57,440
303
+ ู†ุณุชู†ุชุฌ ู…ู†ู‡ู… conclusion ู…ุนูŠู† ูู‡ุฐู‡ ุงู„ form ุงู„ุฃุจุณุท
304
+
305
+ 77
306
+ 00:05:57,440 --> 00:06:02,480
307
+ ุงู„ุฃุตุบุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ if then ุฅุฐุง ุชุญู‚ู‚ุช ุงู„ antecedents
308
+
309
+ 78
310
+ 00:06:02,480 --> 00:06:07,000
311
+ ุฅุฐุง ุงู„ conclusion ู‡ูŠุชุญู‚ู‚ ุจุณ rule ุจุณูŠุทุฉ ุฌุฏุง ู…ุจุฏุฆูŠุง
312
+
313
+ 79
314
+ 00:06:07,000 --> 00:06:11,820
315
+ ู‡ู†ุจู†ูŠ ุนู„ูŠู‡ุง ุฌู…ูŠุน ุงู„ rules ุงู„ู„ุงุญู‚ุฉ ูƒู…ุงู† ู…ุง ุฒู„ู†ุง ููŠ
316
+
317
+ 80
318
+ 00:06:11,820 --> 00:06:15,580
319
+ ุงู„ terminology ู…ุง ุฒู„ู†ุง ููŠ ุดูˆูŠุฉterms ุจุฏู†ุง ู†ูู‡ู…ู‡ุง
320
+
321
+ 81
322
+ 00:06:15,580 --> 00:06:18,580
323
+ ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ theorem ู…ุด ู…ุดูƒู„ุฉ ุงู„ theorem ู‡ุฐู‡
324
+
325
+ 82
326
+ 00:06:18,580 --> 00:06:24,220
327
+ ุงุญูŠุงู†ุง ู…ุฌุฑุฏ ุงู† ุงู†ุง ุงุซุจุชุชู‡ุง ุงุซุจุชุชู‡ุง ุงู†ุง ุถุงู…ู† ุงู† ุงู„
328
+
329
+ 83
330
+ 00:06:24,220 --> 00:06:28,710
331
+ conclusion ุชุจุนู‡ุง ู…ุฑุชุจุท ุจ other termู…ุฑุชุจุท ุจ other
332
+
333
+ 84
334
+ 00:06:28,710 --> 00:06:31,770
335
+ term ููŠ relation ุจูŠู†ู‡ ุจูŠู† other term ูุงู†ุง ุจู…ุฌุฑุฏ ู…ุง
336
+
337
+ 85
338
+ 00:06:31,770 --> 00:06:35,830
339
+ ุฃุซุจุชุช ุตุญุฉ ุงู„ conclusion ู‡ุฏุง ู…ู† ุฎู„ุงู„ ุงู„ rule ู…ู†
340
+
341
+ 86
342
+ 00:06:35,830 --> 00:06:41,170
343
+ ุฎู„ุงู„ ุงู„ theorem ุฃูƒูŠุฏ ุงู†ุง ุจูƒูˆู† ุจูƒู„ ุจุณุงุทุฉ ุงู„
344
+
345
+ 87
346
+ 00:06:41,170 --> 00:06:47,370
347
+ premises ุชุจุนุช ุงู„ theorem ุจู‚ุฏุฑ ุฃุฑุจุทู‡ุง ุจู…ูŠู†ุŸ ุจุงู„
348
+
349
+ 88
350
+ 00:06:47,370 --> 00:06:50,850
351
+ term ุงู„ู„ูŠ ู…ุฑุชุจุท ุจุงู„ conclusion ูู…ู…ูƒู† ุฃุทู„ุน ู…ู†ู‡ุง
352
+
353
+ 89
354
+ 00:06:50,850 --> 00:06:55,750
355
+ ู†ุธุฑูŠุฉ ุชุงู†ูŠุฉ ุจุชุทู„ูŠู„ูŠุด ู†ูุณ ุงู„ conclusion ู‡ูˆ ู‡ูˆ ุจุฅู†ุนุจ
356
+
357
+ 90
358
+ 00:06:55,750 --> 00:07:02,070
359
+ ุจู…ุนู†ู‰ุฎู„ู‘ูŠู†ูŠ ุงูุชุฑุถ ุงู† ุนู†ุฏูŠ h1 and h2 and h3 ุจูƒููŠ
360
+
361
+ 91
362
+ 00:07:02,070 --> 00:07:08,930
363
+ ู‡ุฏูˆู„ุฉ ุฅุฐุง ุชุญู‚ู‚ูˆุง ุจูŠุนุทูŠู†ูŠ c1 okay ุฎู„ุงุต ุชู…ุงู… ุฅุฐุง
364
+
365
+ 92
366
+ 00:07:08,930 --> 00:07:15,450
367
+ ุชุญู‚ู‚ ูƒุฐุง ูˆ ูƒุฐุง ูˆ ูƒุฐุง ุฅุฐุง ุฃูƒูŠุฏ ููŠ ูƒุฐุง ุชู…ุงู…ุŸ ูƒูˆูŠุณ
368
+
369
+ 93
370
+ 00:07:15,450 --> 00:07:19,210
371
+ ุฎู„ู‘ูŠู†ูŠ ุงูุชุฑุถ ุจู‡ุฐุง ุงู„ุดูƒู„ ุทูŠุจ ูˆู„ูƒู† ุนู†ุฏูŠ ุจุฑุถู‡ ููŠ ู†ูุณ
372
+
373
+ 94
374
+ 00:07:19,210 --> 00:07:26,160
375
+ ุงู„ูˆู‚ุช ุนู†ุฏูŠ rule ุชุงู†ูŠุฉ ุจุชู‚ูˆู„ ุงู†ู‡ c1ู…ู… ุชู…ุงู… or ู…ุซู„ุง
376
+
377
+ 95
378
+ 00:07:26,160 --> 00:07:36,360
379
+ c2 ุจูŠุถู…ู† ู„ูŠ c3 ู…ุจุฏุฃูŠุง ู‡ุฐู‡ ุฅุฐุง ุชุญู‚ู‚ุช ู†ุชูŠุฌุฉ ุงู„ h1 h2
380
+
381
+ 96
382
+ 00:07:36,360 --> 00:07:41,440
383
+ h3 ุชุญู‚ู‚ุช ุฎู„ุงุต ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู† ุฃูƒูŠุฏ c1 ุชุญู‚ู‚ุช ูุจู‚ุฏุฑ
384
+
385
+ 97
386
+ 00:07:41,440 --> 00:07:47,620
387
+ ุฃู‚ูˆู„ ุฃู† ู‡ุฐู‡ ู†ุธุฑูŠุฉ ู…ู…ูƒู† ุฃุณู…ูŠู‡ุง theorem ุตุญูŠุญ ุฎู„ุตู†ุง
388
+
389
+ 98
390
+ 00:07:47,620 --> 00:07:51,660
391
+ ู…ู† ุงู„ theorem ุงู„ุฃูˆู„ู‰ ุทูŠุจ ู„ูƒู† ููŠ ุนู†ุฏูŠ ุงุฑุชุจุงุท ุจูŠู† c1
392
+
393
+ 99
394
+ 00:07:53,190 --> 00:08:02,830
395
+ ูˆ C3 ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ู„ูˆ ุชุญู‚ู‚ุช H1, H2, H3 ุฅุฐุง C3 is
396
+
397
+ 100
398
+ 00:08:02,830 --> 00:08:08,910
399
+ true ุตุญุŸ ู„ุงุญุธุŸ ู…ุฌุฑุฏ ุฃู†ู‡ C1 is true ุฎู„ุงุต ู„ุฃู†ู‡ or
400
+
401
+ 101
402
+ 00:08:08,910 --> 00:08:14,530
403
+ ู…ุซู„ุง ู†ุชูƒู„ู… ู‡ู†ุง ุงู„ู‚ุตุฏ ุฃู†ู‡ ุงู„ู†ุธุฑูŠุฉ ุชุญู‚ู‚ู‡ุง ู…ู…ูƒู† ูŠุคุฏูŠ
404
+
405
+ 102
406
+ 00:08:14,530 --> 00:08:18,670
407
+ ุจุณู‡ูˆู„ุฉ ู„ุชุญู‚ูŠู‚ ู†ุธุฑูŠุฉ ุฃุฎุฑู‰ ูุงู„ู†ุธุฑูŠุฉ ุงู„ุฃุฎุฑู‰ ู†ุณู…ูŠู‡ุง
408
+
409
+ 103
410
+ 00:08:18,670 --> 00:08:24,570
411
+ ุงู„ู„ูŠู…ุฉุณู…ูŠู‡ุง limaุŒ ุงู„ lima ู‡ุฐู‡ ู‡ูŠ ู†ุธุฑูŠุฉ ู‡ูŠุชู…
412
+
413
+ 104
414
+ 00:08:24,570 --> 00:08:27,950
415
+ ุฅุซุจุงุชู‡ุง ุจุณู‡ูˆู„ุฉ ู†ุชูŠุฌุฉ ุงู†ู‡ ุชุญู‚ู‚ุช ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ุงุญู†ุง
416
+
417
+ 105
418
+ 00:08:27,950 --> 00:08:32,720
419
+ ุจู†ุญูƒูŠ ุนู†ู‡ุง ุงู„ู„ูŠ ุงุญู†ุง ุจุตุฏุฏู‡ุง ู‡ุฐู‡ุงู„ู„ูŠ ุงุญู†ุง ุจูŠุตุทุงุฏู‡ุง
420
+
421
+ 106
422
+ 00:08:32,720 --> 00:08:37,960
423
+ ูˆุงุถุญุชุŸ ูุฅุฐุง ู†ุชูƒู„ู… ุนู† ุงู„ู†ุธุฑูŠุฉ ุฃูˆ ุงู„ theorem ุงู„ู„ูŠ
424
+
425
+ 107
426
+ 00:08:37,960 --> 00:08:41,580
427
+ ุงุญู†ุง ุจู†ุชูƒู„ู… ุนู†ู‡ุง ุจูŠุตูŠุฑ ุงุณู…ู‡ุง brae theorem brae
428
+
429
+ 108
430
+ 00:08:41,580 --> 00:08:46,480
431
+ theorem ู„ุงุจุฏ ุชุญู‚ูŠู‚ู‡ุง ุนุดุงู† ุงู‚ูˆู„ ุงู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏูŠ
432
+
433
+ 109
434
+ 00:08:46,480 --> 00:08:58,540
435
+ theorem ูƒุชุงู„ูŠ H1 and H2 and H3 implies C3 ูู‡ุฐู‡ ู‡ูŠ
436
+
437
+ 110
438
+ 00:08:58,540 --> 00:09:04,740
439
+ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ุนู†ู‡ุง ุงู„ุขู†ุงู„ู„ูŠ ุงุณู…ู‡ุง theorem ุทูŠุจ
440
+
441
+ 111
442
+ 00:09:04,740 --> 00:09:11,660
443
+ ู‡ุฐู‡ ุจุงู„ู†ุณุจุงู„ู‡ุง ุฅูŠุดุŸ ุงู„ู„ูŠ ู…ุงุชุนุชู‡ุงุŸ ุนุดุงู† ู†ุญู‚ู‚ ู‡ุฐู‡
444
+
445
+ 112
446
+ 00:09:11,660 --> 00:09:18,760
447
+ ู„ุงุญุธูˆุง ู…ุงููŠุด ู…ุจุงุดุฑ ุจูŠู† ู…ุฌู…ูˆุนุฉ ุงู„ H's ุงู„ู„ูŠ ุนู†ุฏูŠ ุฃูˆ
448
+
449
+ 113
450
+ 00:09:18,760 --> 00:09:25,240
451
+ ุงู„ hypothesis ุงู„ู„ูŠ ุนู†ุฏูŠ ูˆ C3 ู„ูƒู† C3 ู…ุฑุจูˆุทุฉ ุจC1 ูˆ
452
+
453
+ 114
454
+ 00:09:25,240 --> 00:09:31,530
455
+ ุงู‚ุฏุฑู†ุง ู†ุซุจุช ู†ุธุฑูŠุฉุจูŠู† ู…ุฌู…ูˆุนุฉ ุงู„ู€ H's ุชุจุนุชูŠ ูˆ C1 ู‡ุฐู‡
456
+
457
+ 115
458
+ 00:09:31,530 --> 00:09:37,430
459
+ ุงุณู…ู‡ุง Lima ุจู…ุฌุฑุฏ ู…ุง ุชุญู‚ู‚ุช ู automatically ุงู„
460
+
461
+ 116
462
+ 00:09:37,430 --> 00:09:42,070
463
+ theorem ุงู„ู„ูŠ ุจู†ุญูƒูŠ ุนู†ู‡ุง ุชุชุญู‚ู‚ ูุงุณู…ู‡ุง Pre theorem
464
+
465
+ 117
466
+ 00:09:42,070 --> 00:09:48,650
467
+ ุงู„ุนูƒุณ ุตุญูŠุญ ู„ ุงู„ corollary ุงู„ corollary ู‡ูŠ ุงู„ุนูƒุณ
468
+
469
+ 118
470
+ 00:09:48,650 --> 00:09:53,690
471
+ ุชุจุนู†ุง ู‡ูŠ ุงู„ุนูƒุณ ุชุจุนู†ุง ูุตุงุฑุช ุจุงู„ู†ุณุจุงู„ู†ุง ู‡ุฐู‡ ุงู„ู†ุธุฑูŠุฉ
472
+
473
+ 119
474
+ 00:09:53,690 --> 00:09:55,230
475
+ ู‡ูŠ corollary ู„ู‡ุฐู‡
476
+
477
+ 120
478
+ 00:09:58,010 --> 00:10:01,710
479
+ ุจู…ุฌุฑุฏ ู…ุง ู‡ุฐู‡ ุชุญู‚ู‚ุช ุงุชูˆู…ุงุชูŠูƒ ุจู‚ุฏุฑ ู…ู†ู‡ุง ู…ู…ูƒู† ุชูƒูˆู†
480
+
481
+ 121
482
+ 00:10:01,710 --> 00:10:04,070
483
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ุงู†ุง ุจุฏูˆุฑ ุนู„ูŠู‡ุง ูˆ ุจุฏูŠ ุงุซุจุชู‡ุง
484
+
485
+ 122
486
+ 00:10:04,070 --> 00:10:09,070
487
+ okay ุฃุซุจุชู†ุงู‡ุง ุจุณ by default ู…ู…ูƒู† ุจุงู„ุทุฑูŠู‚ ูƒู†ุชูŠุฌุฉ
488
+
489
+ 123
490
+ 00:10:09,070 --> 00:10:15,890
491
+ ู„ู‡ุง ุชุชุญู‚ู‚ ู†ุธุฑูŠุฉ ุฃุฎุฑู‰ ูุตุงุฑุช corollary ุจุงู„ู†ุณุจุฉ ู„ู‡ุง
492
+
493
+ 124
494
+ 00:10:15,890 --> 00:10:18,530
495
+ ุงู„ุฃูˆู„ู‰ ุจุงู„ู†ุณุจุฉ ู„ู„ุชุงู†ูŠุฉ ู„ู…ุง
496
+
497
+ 125
498
+ 00:10:21,010 --> 00:10:25,810
499
+ ููŠ ู…ุตุทู„ุญูŠู† ูˆุงุญุฏุฉ ู†ุธุฑูŠุฉ ุณุงุจู‚ุฉ ู„ู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ุจู†ุจุญุซ
500
+
501
+ 126
502
+ 00:10:25,810 --> 00:10:28,730
503
+ ููŠู‡ุง ุทุจูŠุนูŠ ู„ุฅู† ููŠ ู†ุธุฑูŠุฉ ุฃู†ุง ุฌุงุนุช ุจุญุงูˆู„ ุฃุซุจุชู‡ุง ุฃูˆ
504
+
505
+ 127
506
+ 00:10:28,730 --> 00:10:34,870
507
+ ุจุญุงูˆู„ ุฃุจุญุซ ููŠู‡ุง ุฅุฐุง ูƒุงู† ุญุฏูˆุซู‡ุง ูŠู„ุฒู…ู†ูŠ ุฅู†ูŠ ู„ุงุฒู…
508
+
509
+ 128
510
+ 00:10:34,870 --> 00:10:39,830
511
+ ุฃุซุจุช ู†ุธุฑูŠุฉ ุณุงุจู‚ุฉ ู„ู‡ุง ูู‡ูŠ ู„ู…ุง ุงู„ู†ุธุฑูŠุฉ ุงู„ุณุงุจู‚ุฉ ู„ู‡ุง
512
+
513
+ 129
514
+ 00:10:39,830 --> 00:10:44,450
515
+ ุทูŠุจ ุญู‚ู‚ู†ุงู‡ุง ูˆุฎู„ุตู†ุง ุจุณ by default ุฃู†ุง ุนุงุฑู ุฅู† ู…ุฌุฑุฏ
516
+
517
+ 130
518
+ 00:10:44,450 --> 00:10:48,530
519
+ ุชุญู‚ูŠู‚ู‡ุง ุจูŠุถู…ู†ู„ูŠ ุญุฏูˆุซ ุฅุดูŠ ุชุงู†ูŠูุงู„ุงุดูŠ ุงู„ุชุงู†ูŠ ู‡ุฐุง ุตุงุฑ
520
+
521
+ 131
522
+ 00:10:48,530 --> 00:10:52,370
523
+ ู†ุธุฑูŠุฉ ุจุฑุถู‡ ู…ู…ูƒู† ูŠุทู„ู‚ ุนู„ูŠู‡ ู†ุธุฑูŠุฉ ู„ุญุงู„ู‡ ุฎู„ุงุต ุจูŠุตูŠุฑ
524
+
525
+ 132
526
+ 00:10:52,370 --> 00:10:58,150
527
+ ุงุณู…ู‡ Corollary ุฃูˆ Post ู…ุง ุจุนุฏ ุงู„ู†ุธุฑูŠุฉ ู…ุง ุจุนุฏ
528
+
529
+ 133
530
+ 00:10:58,150 --> 00:11:02,830
531
+ ุงู„ู†ุธุฑูŠุฉ ูุฅุฐุง ุงู„ Corollary ู‡ุฐู‡ ู…ุง ุฒู‡ุฑุช ุฅู„ุง ู†ุชูŠุฌุฉ ุฃู†
532
+
533
+ 134
534
+ 00:11:02,830 --> 00:11:08,230
535
+ ุงู„ theorem ุชุญู‚ู‚ุช ูู‡ุฐู‡ ูƒุงู†ุช ู…ุง ุจุนุฏู‡ุง ุทูŠุจ ุฅุฐุง ู„ู…
536
+
537
+ 135
538
+ 00:11:08,230 --> 00:11:13,210
539
+ ุชุชุญู‚ู‚ ู†ุธุฑูŠุฉ ู…ุงููŠุด Corollaryู…ุด ู‡ุชู‚ุฏุฑ ุชุซุจุชู‡ุง ู„ุฅู† ุงู†ุช
540
+
541
+ 136
542
+ 00:11:13,210 --> 00:11:18,450
543
+ ุนุดุงู† ุชุซุจุช ุงู†ู‡ ููŠู‡ relation between h1, h2, h3 ูˆ c3
544
+
545
+ 137
546
+ 00:11:18,450 --> 00:11:23,770
547
+ ู„ุงุฒู… ุชูƒูˆู† ุฃุซุจุชุช ุฃูˆู„ุง ุงู† h1, h2, h3 ููŠ ุจูŠู†ู‡ู… .. ุจูŠู†
548
+
549
+ 138
550
+ 00:11:23,770 --> 00:11:31,250
551
+ ุงู„ c1 relation ุชู…ุงู…ุŸ ุชู…ุงู… ูู‡ูŠ .. ุงู‡ ููŠ ุงู„ุฃุฎูŠุฑุฉ ู„ุณู‡
552
+
553
+ 139
554
+ 00:11:31,250 --> 00:11:34,750
555
+ ุงู„ conjuncture ุงู„ conjunctures ู…ุฌู…ูˆุนุฉ ุงู„
556
+
557
+ 140
558
+ 00:11:34,750 --> 00:11:37,810
559
+ conjunctures ู‡ุฐู‡ ุนุงุฏุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุณู…ูŠู‡ุง ุงู„ุญุฏุซุงู„ู„ูŠ
560
+
561
+ 141
562
+ 00:11:37,810 --> 00:11:43,090
563
+ ู‡ูˆ ุจูŠูƒูˆู† ุนู†ุฏูƒ ุญุงู„ุฉ ูˆ ุฃู†ุช ุฏุงูŠู…ุง ุจุชู‚ูˆู„ ุนู„ูŠู‡ุง true
564
+
565
+ 142
566
+ 00:11:43,090 --> 00:11:49,890
567
+ ู„ูƒู† ู…ุงููŠุด ุฅุซุจุงุช ุฅู„ู‡ุงุŒ ู…ุงู‡ุงุด ุฅุซุจุงุช ุฒูŠ ู„ู…ุง ุชู‚ูˆู„
568
+
569
+ 143
570
+ 00:11:49,890 --> 00:11:53,370
571
+ ู…ุงููŠุด ุนุฏุฏ prime ุฃูƒุจุฑ
572
+
573
+ 144
574
+ 00:11:57,000 --> 00:12:00,340
575
+ ุฃุญู†ุง ู‡ูŠูƒ ุจู†ู‚ูˆู„ ุตุญูŠุญ ู„ุฅู†ู‡ ูƒู„ ู…ุง ุจูŠุชู‚ุฏู… ุนู„ู…
576
+
577
+ 145
578
+ 00:12:00,340 --> 00:12:04,160
579
+ ุงู„ุฑูŠุงุถูŠุงุช ุจู†ุฌุฏ ุฅู†ู‡ ุจูŠูƒุชุดููˆุง ูƒู…ุงู† ุนุฏุฏ prime ู…ู…ูƒู† ู…ู†
580
+
581
+ 146
582
+ 00:12:04,160 --> 00:12:07,940
583
+ ุนุดุฑูŠู† ุฎุงู†ุฉ ูˆ ู„ุง ู…ู† ุฎู…ุณุชุงุดุฑ ุฎุงู†ุฉ ู„ูƒู†ู‡ prime ู„ุง ูŠู‚ุณู…
584
+
585
+ 147
586
+ 00:12:07,940 --> 00:12:13,220
587
+ ุนู„ู‰ ูƒู„ ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†ู‡ ู„ูƒู† ู…ุด ุฌุงุฏุฑูŠู† ู†ุซุจุช ุฅู† ูุนู„ุง ู„ุง
588
+
589
+ 148
590
+ 00:12:13,220 --> 00:12:18,440
591
+ ูŠูˆุฌุฏ prime ุฃูƒุจุฑ ู„ุฅู†ู‡ ุนุดุงู† ุชุซุจุช ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุนู†ุงุชู‡
592
+
593
+ 149
594
+ 00:12:18,440 --> 00:12:22,240
595
+ ุจุฏุฃุช ุชูƒูˆู† ูˆุตู„ุช ู„ู„ infinity ูุฅุฐู† ู‡ุฐุง ุญุฏุซ ุจุงู„ู†ุณุจุงู„ู†ุง
596
+
597
+ 150
598
+ 00:12:22,240 --> 00:12:27,520
599
+ ุจู†ุนุฑูุด ุญุชู‰ ุงู„ู„ุญุธุฉ ุฅู…ูƒุงู†ูŠุฉ ุงู„ computers ุจุชุงุนุชู†ุงู…ุง
600
+
601
+ 151
602
+ 00:12:27,520 --> 00:12:30,420
603
+ ุฎุฏู…ุชู†ุงุด ููŠ ู‡ุงู„ุฌุซุฉ ูƒู„ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ุจูŠู‚ุฏุฑ ุงู„ูƒู…ุจูŠูˆุชุฑ
604
+
605
+ 152
606
+ 00:12:30,420 --> 00:12:36,340
607
+ ูŠุตู„ู‡ุง ููŠู‡ ุฏุงุฆู…ุง ุฑู‚ู… ุฃูƒุจุฑ ููŠู‡ ุฏุงุฆู…ุง ุฑู‚ู… ุฃูƒุจุฑ ุจุณ ููŠ
608
+
609
+ 153
610
+ 00:12:36,340 --> 00:12:40,460
611
+ ุงู„ู†ู‡ุงูŠุฉ ุฃู†ุง ุนุงู…ู„ ุญุณุงุจูŠ ุฃู†ู‡ ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ ุฃูƒุจุฑ ู…ู†ู‡
612
+
613
+ 154
614
+ 00:12:40,460 --> 00:12:44,280
615
+ ู„ูƒู† ุงู„ุญูˆุงุณูŠุจ ุจุชุงุนุชู†ุง ู…ุด ู‚ุงุฏุฑ ูŠุชุตู„ูˆุง ูุนุดุงู† ู‡ูŠูƒ ุงู„
616
+
617
+ 155
618
+ 00:12:44,280 --> 00:12:46,660
619
+ conjecture ุชุจุนุชู‡ ู‡ู†ุง ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ุญุงุฏุซุฉ ุชุจุนูŠ
620
+
621
+ 156
622
+ 00:12:46,660 --> 00:12:51,900
623
+ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ ุนุฏุฏ ุฃูˆู„ูŠ ุฃูƒุจุฑ ูŠุนู†ูŠ ู…ุงููŠุด ุนุฏุฏ ุฃูˆู„ูŠ
624
+
625
+ 157
626
+ 00:12:51,900 --> 00:12:57,870
627
+ ูˆุจุนุฏู‡ ุฎู„ุงุต ุจุทู„ุช ุงู„ุนุฏุฏ ุงู„ุฃูˆู„ูŠ ุฎู„ุตุช ู…ุงููŠุดู…ุงููŠ ุญุฏุด
628
+
629
+ 158
630
+ 00:12:57,870 --> 00:13:01,190
631
+ ุจูŠู‚ุฏุฑ ูŠู‚ูˆู„ูƒ ุงู„ูƒู„ุงู… ู‡ุฐุงุŒ ู…ุงููŠุด ุญุฏ ุจูŠู‚ุฏุฑ ูŠู‚ูˆู„ูƒุŒ ู„ูƒู†
632
+
633
+ 159
634
+ 00:13:01,190 --> 00:13:04,470
635
+ ุงู„ุญุฏุซ ู‡ูŠูƒ ุจูŠู‚ูˆู„ู†ุง ุฅู†ู‡ ู…ุงููŠุด ุนุฏุฏ ุฃูƒุจุฑุŒ ุฎู„ุงุต ุทูˆู„ ู…ุง
636
+
637
+ 160
638
+ 00:13:04,470 --> 00:13:07,410
639
+ ุฃู†ุช ู…ุงุดูŠ ูˆ ุงู„ุฃุนุฏุงุฏ ุจูŠุฎุชุฑุนูˆุง ุฃุนุฏุงุฏ ุฌุฏูŠุฏุฉ ูˆ ุจูŠุณู…ูˆุง
640
+
641
+ 161
642
+ 00:13:07,410 --> 00:13:12,010
643
+ ุชุณู…ูŠุฉ ุฌุฏูŠุฏุฉ ู„ู„ุฃุนุฏุงุฏุŒ ู…ู…ูƒู† ูŠุธู‡ุฑู„ู†ุง ุฑู‚ู… ุฃูƒุจุฑ ู…ู† ุงู„ู„ูŠ
644
+
645
+ 162
646
+ 00:13:12,010 --> 00:13:17,260
647
+ ุงุญู†ุง ุนุงุฑููŠู†ู‡ ุฃูˆ ุงู„ู„ูŠ ุงุญู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุงุŒ ุชู…ุงู…ู„ูŠุดุŸ
648
+
649
+ 163
650
+ 00:13:17,260 --> 00:13:23,800
651
+ ูˆุฎุตูˆุตุง ุฅู†ู‡ ุจุงู„ุนุงุฏุฉ ููŠ ู†ุธุฑูŠุฉ ุจู†ุนู…ู„ ู…ู†ู‡ุง creation
652
+
653
+ 164
654
+ 00:13:23,800 --> 00:13:29,760
655
+ ู„ู„ุฃุฑู‚ุงู… ุงู„ุฃูˆู„ูŠุฉ ูˆุญุชู‰ ุงู„ุขู† ุงู„ู†ุธุฑูŠุฉ ู‡ุฐู‡ ุตุญูŠุญุฉ ุจุณ
656
+
657
+ 165
658
+ 00:13:29,760 --> 00:13:35,660
659
+ ู…ุงู‚ุฏุฑุด ุฃู‚ูˆู„ ุนู„ูŠู‡ุง ู†ุธุฑูŠุฉ ุจู†ุณู…ูŠู‡ุง ุญุฏุซ ุฒูŠ ุงู„ุนุฏุฏ ุงู„ุฃูˆู„
660
+
661
+ 166
662
+ 00:13:35,660 --> 00:13:38,880
663
+ ูŠุจู‚ู‰ ุจุงุนุชุจุงุฑ ุฃู†ู‡ ุฅุฌุช ุณุฑุชู‡ุง ุฏู‡ ุฅู† ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ูƒ ุฅู†
664
+
665
+ 167
666
+ 00:13:38,880 --> 00:13:42,440
667
+ ุงู„ุนุฏุฏ ุงู„ุฃูˆู„ูŠ ุจุชุจุฏุฃ ู…ุซู„ุง ู…ู† ุงุชู†ูŠู† ุดูƒ ุชู„ุงุชุฉ ุฅูŠุด
668
+
669
+ 168
670
+ 00:13:42,440 --> 00:13:48,580
671
+ ุจุนุฏู‡ุงุŸ ุฎู…ุณุฉ ุณุจุนุฉู„ุฃ ุชุตุญู‰ ุชุฌุจู‡ .. ู„ุฃ ุชุฌุจู‡ ู„ุด .. 11
672
+
673
+ 169
674
+ 00:13:48,580 --> 00:13:51,980
675
+ and so on ู…ุจุฏุงูŠุง ุฎู„ูŠู†ูŠ ุนู„ู‰ ุฌุฏ ุชู‡ุฏูŠ ุจุณ ุนุดุงู† ุฃูˆุฑูŠูƒ
676
+
677
+ 170
678
+ 00:13:51,980 --> 00:13:58,680
679
+ ุงู„ relation ุงู„ู„ูŠ ุญุทูˆู‡ุง ูˆ ุจู‚ู‰ ุงุณู…ู‡ุง conjunctures ุงูˆ
680
+
681
+ 171
682
+ 00:13:58,680 --> 00:14:03,960
683
+ conjuncture ุจู…ุนู†ู‰ ุญุฏุซ ู‡ู„ ููŠ ุฑู‚ู… ุฃูƒุจุฑ ุจูŠุนุฑููˆุด ู„ูˆ
684
+
685
+ 172
686
+ 00:14:03,960 --> 00:14:10,220
687
+ ุฃุฎุฏู†ุง ุจุชุจุฏุฃ ุฏุงูŠู…ุง ู…ู† ุงู„ุจุฏุงูŠุฉ ู„ูˆ ุฃุฎุฏุช ุงู„ุฃุนุฏุงุฏ ูˆ ุงู„
688
+
689
+ 173
690
+ 00:14:10,220 --> 00:14:13,900
691
+ primes ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุฒุงุฆุฏ ูˆุงุญุฏ ุงูˆ ุถุฑุจู‡ู…
692
+
693
+ 174
694
+ 00:14:16,570 --> 00:14:20,570
695
+ multiplication of primes ุฒุงุฆุฏ ูˆุงุญุฏ ูŠุนู†ูŠ ุงู„ุงุชู†ูŠู†
696
+
697
+ 175
698
+ 00:14:20,570 --> 00:14:26,530
699
+ ู…ุซู„ุง ู„ุญุงู„ู‡ุง ุฒุงุฆุฏ ูˆุงุญุฏ ุชู„ุงุชุฉ ุงู„ุชู„ุงุชุฉ prime ุทูŠุจ
700
+
701
+ 176
702
+ 00:14:26,530 --> 00:14:33,330
703
+ ุงุชู†ูŠู† ููŠ ุชู„ุงุชุฉ ุณุชุฉ ุฒุง๏ฟฝ๏ฟฝุฏ ูˆุงุญุฏ ุงู„ุณุจุนุฉ prime ุงุชู†ูŠู† ููŠ
704
+
705
+ 177
706
+ 00:14:33,330 --> 00:14:40,110
707
+ ุชู„ุงุชุฉ ุณุชุฉ ููŠ ุฎู…ุณุฉ ุชู„ุงุชูŠู† ุฒุงุฆุฏ ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุชู„ุงุชูŠู†
708
+
709
+ 178
710
+ 00:14:40,110 --> 00:14:46,940
711
+ prime and so on and so on ุทูŠุจู‡ุฐุง ู…ุจู†ูŠ .. ุงุชูุถู„ ุจุฌุฏ
712
+
713
+ 179
714
+ 00:14:46,940 --> 00:14:50,640
715
+ ุง ุฏูƒุชูˆุฑ ูŠู‚ูˆู„ ุงู„ truth value ุจุชุงุนู‡ุง true force ู„ูƒู†
716
+
717
+ 180
718
+ 00:14:50,640 --> 00:14:55,040
719
+ ุจุฏูˆู† ุงุซุจุงุช ูˆู„ุง .. ุจุฏูˆู† ุงุซุจุงุช ู‡ูˆ ุญุฏุซ ุญุชู‰ ู„ุงู† ู…ุญุฏุด
720
+
721
+ 181
722
+ 00:14:55,040 --> 00:14:58,520
723
+ ุงุซุจุช ุนูƒุณู‡ ูŠุนู†ูŠ ุงูŠู‡ ู„ู‡ ุงู„ู‚ูŠู…ุฉ ูŠุนู†ูŠ ุงู†ุง .. ู„ุงุญุธ ู‡ูŠ
724
+
725
+ 182
726
+ 00:14:58,520 --> 00:15:02,740
727
+ ุงู†ูŠ ู‚ุงุนุฏ ุจู‚ูˆู„ูƒ ุงู† ุงู„ู†ุธุฑูŠุฉ ู‡ุฐู‡ ุตุญูŠุญุฉ ุงุซุจุชู„ูŠ ุนูƒุณู‡ุง
728
+
729
+ 183
730
+ 00:15:02,740 --> 00:15:08,740
731
+ ู…ุงู„ู‡ุงุด ู…ุงู„ู‡ุงุด ู„ุงู† ู‡ุฐู‡ ู…ุจู†ูŠุฉ ุนู„ู‰ infinity ุนูƒุณ ุงู„ุฏูˆู„
732
+
733
+ 184
734
+ 00:15:08,740 --> 00:15:12,960
735
+ ูู„ุง ุงู†ุช ุจุฏูƒ .. ู„ุฃ ุงู†ุช ู…ุด ู‚ุงุฏุฑ ุชู‚ูˆู„ ุตุญ ูˆู„ุง ุบู„ุท ุงุตู„ุง
736
+
737
+ 185
738
+ 00:15:13,750 --> 00:15:16,510
739
+ ู„ุฃู† ุนุดุงู† ุชู‚ูˆู„ ุตุญ ูˆู„ุง ุบู„ุท ู„ุงุฒู… ุชูƒูˆู† ุนู…ู„ุช check ุนู„ู‰
740
+
741
+ 186
742
+ 00:15:16,510 --> 00:15:22,370
743
+ ูƒู„ ุงู„ุฃุฑู‚ุงู… ุตุญุŸ ุทุจ ู„ุง ุฅูŠู‡ ุงู†ุช ู‡ุชุถู„ูƒ ุชุนู…ู„ ูŠุนู†ูŠ ุฅูŠู‡ุŸ
744
+
745
+ 187
746
+ 00:15:22,370 --> 00:15:25,910
747
+ ู„ุฃ ุงู†ุช ู‡ุชุถู„ูƒ ู…ุงุดูŠ ูˆ ุจุนุฏูŠู† ูƒู„ ุฑู‚ู… ู‡ุชู‚ุนุฏ ุชุถุฑุจ
748
+
749
+ 188
750
+ 00:15:25,910 --> 00:15:30,130
751
+ ุงู„ุฃุฑู‚ุงู… ููŠ ุทู„ุนู†ุง 31 ู…ุด ุจุฏูƒ ุชุนู…ู„ test ุนู„ูŠู‡ ุนุดุงู†
752
+
753
+ 189
754
+ 00:15:30,130 --> 00:15:37,250
755
+ ุชุชุฃูƒุฏ ุทูŠุจ ูˆุตู„ู†ุง ููŠ ุงู„ุขุฎุฑ ู„ุฃุฑู‚ุงู… ุจุงู„ 11 ุฃูˆ 15 ุฎุงู†ุฉ
756
+
757
+ 190
758
+ 00:15:37,250 --> 00:15:40,690
759
+ ุจุฏูƒ ุชู‚ูˆู… ุชุนู…ู„ check ุนู„ู‰ ูƒู„ ุฃุฑู‚ุงู… ุงู„ู„ูŠ ุฃู‚ู„ ู…ู†ู‡ ุฃู†
760
+
761
+ 191
762
+ 00:15:40,690 --> 00:15:45,360
763
+ ู‡ูŠ ู„ุง ูŠู‚ุจู„ ู‚ุณู… ุนู„ูŠู‡ุงูุงู„ุนู…ู„ูŠุฉ ู…ุฑู‡ู‚ุฉ ุญุชู‰ ุงู„ู„ุญุธุฉ
764
+
765
+ 192
766
+ 00:15:45,360 --> 00:15:48,980
767
+ ู…ุงุญุฏุด ุฌุงุฏุฑ ูŠู‚ูˆู„ูƒ ุตุญ ูˆู„ุง ุบู„ุท ุฃู…ุง ู„ุนู†ุฏูŠ ุงู„ู„ุญุธุฉ ุฃู‡
768
+
769
+ 193
770
+ 00:15:48,980 --> 00:15:54,420
771
+ ุชุทุจูŠู‚ู‡ุง ุตุญ ู‡ู„ ู…ู…ูƒู† ุชูƒูˆู† ุจุงู„ุตุฏูุฉ ู„ุนู†ุฏ ู…ุฌู…ูˆุนุฉ
772
+
773
+ 194
774
+ 00:15:54,420 --> 00:15:58,980
775
+ ุงู„ุฃุฑู‚ุงู… ู„ุนู†ุฏ ุฃู‚ู„ ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุฑู‚ู… ู…ุนูŠู† ุจุนุฏ ู‡ุช
776
+
777
+ 195
778
+ 00:15:58,980 --> 00:16:04,600
779
+ ู†ุชูุงุฌุฃ ุฃู†ู‡ ู„ุง ูˆู„ุง ู…ุด ุตุญูŠุญุฉ ู‡ูŠ ุญุฏุซ ุญุชู‰ ุงู„ุขู† ูƒู„ุงู…ู‡ุง
780
+
781
+ 196
782
+ 00:16:04,600 --> 00:16:09,870
783
+ ุตุญ ู„ูƒู† ู…ุงุญุฏุด ุฃุซุจุชู‡ูƒู„ ู…ุง ููŠ ุงู„ู…ูˆุถูˆุน ูˆุญุท ุงู„ุงุฌุงู„ ู„ูˆ
784
+
785
+ 197
786
+ 00:16:09,870 --> 00:16:12,730
787
+ ุนู…ู„ุชู‡ ูƒุฐุง ู‡ูŠุทู„ุน ุงู„ู€ prime ุทุจ ู…ุงุดูŠ ุงุซุจุชู„ู†ุง ุงู„ูƒู„ุงู…
788
+
789
+ 198
790
+ 00:16:12,730 --> 00:16:17,990
791
+ ู‡ุฐุง ุฌุงู„ูƒ ุจูƒู„ ุจุณุงุทุฉ ุงู†ุง ุจู‚ูˆู„ูƒ ู‡ูŠูƒ ุงู†ุช ุงุซุจุช ุนูƒุณู‡ ุจุณ
792
+
793
+ 199
794
+ 00:16:17,990 --> 00:16:23,470
795
+ ุงู…ุง ุงู†ุง ู…ุด ู‚ุงุฏุฑ ุงุซุจุชู„ูƒูŠุง ุจุดูƒู„ ูˆุงู‚ุนูŠ ุงู† ู„ูŠุด ุงู†ุช
796
+
797
+ 200
798
+ 00:16:23,470 --> 00:16:26,190
799
+ ุงุซุจุช ุนูƒุณู‡ ุงุฐุง ุจุชู‚ุฏุฑ ุจุณ ูˆุถู„ุช ุนู„ู‰ ู‡ูŠูƒ ู‡ูŠ ู…ุด ุฏุงูŠู…ุง
800
+
801
+ 201
802
+ 00:16:26,190 --> 00:16:30,270
803
+ ุตุญูŠุญ ู„ุฃ ุงุญู†ุง ุญุชู‰ ู„ูˆ ู…ุด ุฏุงูŠู…ุง ุตุญูŠุญ ูƒุงู† ุจุทู„ุช ู†ุธุฑูŠุฉ
804
+
805
+ 202
806
+ 00:16:30,270 --> 00:16:34,940
807
+ ุงุตู„ุง ูƒุงู† ูˆุฌูู†ุง ูƒุงู† ุฌูˆู„ู†ุง ู„ุฃ ู‡ุฐุง ุบู„ุทุงุญู†ุง ู…ุงุจุนุชุจุฑู‡ุง
808
+
809
+ 203
810
+ 00:16:34,940 --> 00:16:39,200
811
+ ุฏุงุฆู…ุง ุตุญูŠุญ ุงู„ุญุฏุซ ู‡ูˆ relation ุจุนุชุจุฑู‡ุง ุฏุงุฆู…ุง ุตุญูŠุญุฉ
812
+
813
+ 204
814
+ 00:16:39,200 --> 00:16:45,440
815
+ ุจุณ ู…ุงู„ู‡ุงุด formula ูˆุงุถุญุฉ logically form ู…ุงู„ู‡ุงุด ูŠุนู†ูŠ
816
+
817
+ 205
818
+ 00:16:45,440 --> 00:16:49,740
819
+ ุงู† ุงู‚ูˆู„ ูˆุงู„ู„ู‡ ููŠ ุงุณุชุฏู„ุงู„ ุจู‚ุฏุฑ ุฃุซุจุชู‡ุง ูƒู†ุธุฑูŠุฉ ุงุซุจุงุช
820
+
821
+ 206
822
+ 00:16:49,740 --> 00:16:54,560
823
+ ูƒู†ุธุฑูŠุฉ ู…ุงููŠุด ูู‡ูŠ ู†ุธุฑูŠุฉ ูˆุจุณ ุงุญู†ุง ุนุงุฑููŠู† ู…ูˆุถูˆุนู†ุง
824
+
825
+ 207
826
+ 00:16:54,560 --> 00:16:58,020
827
+ ุงู„ูŠูˆู… ู‡ูˆ ุนู„ู‰ ุงู„ proving ุฃุตู„ุง ู…ุด ุนู„ู‰ ุงู„ู†ุธุฑูŠุฉ ู†ูุณู‡ุง
828
+
829
+ 208
830
+ 00:16:58,020 --> 00:17:04,940
831
+ ู…ูˆุถูˆุนู†ุง ุงู„ูŠูˆู… ู„ู„ุฅุซุจุงุช ุฃู† ุฃุซุจุช ุงู„ู†ุธุฑูŠุฉูู†ุธุฑูŠุฉ ุฒูŠ ู‡ุฐู‡
832
+
833
+ 209
834
+ 00:17:04,940 --> 00:17:08,980
835
+ ู…ุงุญุฏุด ู‚ุงุฏุฑ ุงุซุจุชู‡ุง ููŠ ู†ูุณ ุงู„ูˆู‚ุช ู…ุงุญุฏุด ู‚ุงุฏุฑ ูŠู†ููŠู‡ุง
836
+
837
+ 210
838
+ 00:17:08,980 --> 00:17:14,040
839
+ ุชู…ุงู… ูู‡ูŠ ุจุงู„ู†ุณุจุงู„ู†ุง ู„ู…ูˆุถูˆุนู†ุง ุงู„ูŠูˆู… ุงู„ู„ูŠ ู‡ูˆ ุงู„
840
+
841
+ 211
842
+ 00:17:14,040 --> 00:17:19,680
843
+ proving ุนุดุงู† ู†ุนู…ู„ ุงุซุจุงุช ู…ุด ู‚ุงุฏุฑ ุงุซุจุชู‡ุง ูุจุณู…ูŠู‡ุง
844
+
845
+ 212
846
+ 00:17:19,680 --> 00:17:25,200
847
+ conjecture ุงูˆ ุญุฏุซ ุญุฏุซ ุงุดูŠ ุจุฏูŠู‡ูŠ ูˆ ุฎู„ุงุต ุญุฏุซ ุชู…ุงู…
848
+
849
+ 213
850
+ 00:17:25,200 --> 00:17:30,420
851
+ okay ุงุชูู‚ู†ุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ inference rules ุจุดูƒู„
852
+
853
+ 214
854
+ 00:17:30,420 --> 00:17:34,890
855
+ ุฃุณุงุณูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุนุฉ of antecedentsุฅุฐุง ุชุญู‚ู‚ุช
856
+
857
+ 215
858
+ 00:17:34,890 --> 00:17:40,790
859
+ ููŠุชุจุน ุฐู„ูƒ ุจุงู„ุชุงู„ูŠ ู…ุจุงุดุฑุฉ ุฅู† ุงู„ consequence ู‡ูŠุชุญู‚ู‚
860
+
861
+ 216
862
+ 00:17:40,790 --> 00:17:46,130
863
+ ุฃูˆ ุงู„ conclusion ู…ุฌู…ูˆุนุฉ premises ุฅุฐุง ูƒู„ู‡ุง ุชุญู‚ู‚ุช
864
+
865
+ 217
866
+ 00:17:46,130 --> 00:17:50,490
867
+ ุฅูŠุด ูŠุนู†ูŠ ูƒู„ู‡ุง ุชุญู‚ู‚ุชุŸ ู…ุนู†ุงุชู‡ antecedent one and
868
+
869
+ 218
870
+ 00:17:50,490 --> 00:17:55,210
871
+ antecedent two and antecedent three and so on and
872
+
873
+ 219
874
+ 00:17:55,210 --> 00:17:59,550
875
+ so on ูƒู„ู‡ู… ุฅุฐุง ุชุญู‚ู‚ูˆุง ู…ุนู†ู‰ ุฐู„ูƒ ุฅู† ุงู„ consequence
876
+
877
+ 220
878
+ 00:17:59,550 --> 00:18:06,080
879
+ ุฃูˆ ุงู„ conclusion is true ู‡ูŠุชุญู‚ู‚ ู…ุนุงู‡ุงOkay ุฒูŠ ู…ุง
880
+
881
+ 221
882
+ 00:18:06,080 --> 00:18:10,060
883
+ ู‚ู„ู†ุง ู‡ูŠ ุงู„ู†ุธุฑูŠุฉ ุจุงู„ุจุณุงุทุฉ ู†ู‚ุฏุฑ ู†ุชุฑุฌู…ู‡ุง ุจุงู„ุดูƒู„ ุงู„ู„ูŠ
884
+
885
+ 222
886
+ 00:18:10,060 --> 00:18:15,700
887
+ ุญู†ุง ุดุงูŠููŠู†ู‡ ุงู„ุงู† ุทูŠุจ ุฅุฐุง ูุนู„ุง ุฅุฐุง ูุนู„ุง ุนู…ู„ู†ุง ู‡ุฐุง
888
+
889
+ 223
890
+ 00:18:15,700 --> 00:18:21,420
891
+ ุงู„ูƒู„ุงู… ูู…ุนู†ู‰ ุฐู„ูƒ ู„ุงุญุธูˆุง ุฃู† ุงู„ antecedent one,
892
+
893
+ 224
894
+ 00:18:22,000 --> 00:18:25,940
895
+ antecedent two and antecedent two and antecedent
896
+
897
+ 225
898
+ 00:18:25,940 --> 00:18:32,300
899
+ three and four and so on to end ู…ุซู„ุงุฅุฐุง ูƒู„ ู‡ุฏูˆู„ุฉ
900
+
901
+ 226
902
+ 00:18:32,300 --> 00:18:38,960
903
+ is true ูˆ ุฃุฎุฏู†ุง implication .. implication ู„ ุงู„
904
+
905
+ 227
906
+ 00:18:38,960 --> 00:18:42,000
907
+ conclusion ุฃูˆ ุงู„ consequent ูุฅุฐุง ู„ุงุฒู… ุชุทู„ุน
908
+
909
+ 228
910
+ 00:18:42,000 --> 00:18:49,620
911
+ tautology ู„ุงุฒู… ูŠุทู„ุน tautology ุจู…ุนู†ู‰ ุฅู†ู‡ H1, H2, H3
912
+
913
+ 229
914
+ 00:18:49,620 --> 00:18:57,010
915
+ employees C1 is trueู„ูŠุดุŸ ู„ุฃู† ู‡ุฐู‡ ุฃุตู„ุง rule of
916
+
917
+ 230
918
+ 00:18:57,010 --> 00:19:01,510
919
+ inference ุฃูˆ ู‡ูŠ ูุนู„ุง ู…ุณุชุฏู„ ุนู„ูŠู‡ุง ูƒู†ุธุฑูŠุฉ ู…ุนู†ู‰ ุฐู„ูƒ
920
+
921
+ 231
922
+ 00:19:01,510 --> 00:19:06,410
923
+ ุฅุฐุง ุชุญู‚ู‚ ุงู„ุดู…ุงู„ ู„ุงุจุฏ ู‡ูŠุชุญู‚ู‚ ุงู„ูŠู…ูŠู† ูˆุฅุฐุง ู„ู… ูŠุชุญู‚ู‚
924
+
925
+ 232
926
+ 00:19:06,410 --> 00:19:11,870
927
+ ุงู„ุดู…ุงู„ ูุงู„ูŠู…ูŠู† ู…ุงุชุญู‚ู‚ุด ูˆู‡ุฐุง ู…ุนู†ุงู‡ ุฅู† ุงู„ relation
928
+
929
+ 233
930
+ 00:19:11,870 --> 00:19:16,630
931
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู‡ุชุทู„ุน ุฏุงุฆู…ุง trueุงู„ุฃุตู„ ุฅู†ู‡ุง ุฏุงุฆู…ุง true
932
+
933
+ 234
934
+ 00:19:16,630 --> 00:19:21,250
935
+ ูˆุฅู„ุง ุจุทู„ุช rule ุฅุฐุง ู…ุด ุฏุงุฆู…ุง true ู…ุนู†ุงุชู‡ ุจุทู„ุช rule
936
+
937
+ 235
938
+ 00:19:21,250 --> 00:19:24,470
939
+ ู…ุด ู‡ูŠ ุจู‚ุฏุฑุด ุฃุณุชุฎุฏู…ู‡ุง ูƒ rule ู…ุง ุจู‚ุฏุฑ ุฃู‚ูˆู„ูƒ ุฃุญูุธู‡ุง
940
+
941
+ 236
942
+ 00:19:24,470 --> 00:19:27,790
943
+ ุฒูŠ ู…ุง ู‡ูŠ ู‡ูŠูƒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู…ุด ุฏุงุฆู…ุง true ู„ุฃ ู‡ูŠ ุฏุงุฆู…ุง
944
+
945
+ 237
946
+ 00:19:27,790 --> 00:19:33,430
947
+ true ูˆุนุดุงู† ู‡ูŠ ุฃุตุจุญุช ุจุงู„ู†ุณุจุงู„ูŠ theorem ุฃูˆ rule ู…ุฏุงู…
948
+
949
+ 238
950
+ 00:19:33,430 --> 00:19:37,660
951
+ ุฃุตุจุญุช rule ูู‡ูŠ tautologyTautology ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ ..
952
+
953
+ 239
954
+ 00:19:37,660 --> 00:19:41,980
955
+ ุนู† ุงู„ .. Tautology ุงู„ู…ุตุทู„ุญ ุฏุงุฆู…ุง ุตุญูŠุญุฉ ูˆุฅู„ุง ู…ุงุญุฏ
956
+
957
+ 240
958
+ 00:19:41,980 --> 00:19:45,540
959
+ ู…ุงุจู‚ุฏุฑ ุฃู‚ูˆู„ูƒ ู„ุฃ ู‡ูŠ ุฃุญูุธู‡ุง ุฃูˆ ู‡ูŠ rule ู„ุฃ ู…ุด ุจุชุจุทุฑ
960
+
961
+ 241
962
+ 00:19:45,540 --> 00:19:48,500
963
+ rule ููŠ ุงู„ุญุงู„ุฉ ุฏูŠ ูุฅุฐุง ุงู„ relation ุงู„ุฃุฎูŠุฑุฉ ุฃูƒูŠุฏ
964
+
965
+ 242
966
+ 00:19:48,500 --> 00:19:55,660
967
+ ู„ุงุฒู… ุชุธู„ ุฏุงุฆู…ุง Tautology ุฏุงุฆู…ุง ุตุญ ุจุงู„ู…ู†ุงุณุจุฉ
968
+
969
+ 243
970
+ 00:19:55,660 --> 00:19:59,840
971
+ ุงู„ุฃุฎูŠุฑุฉ ุฏุงุฆู…ุง ุตุญ ู‡ุฐุง ู„ุง ูŠุนู†ูŠ ุฃู† ู„ูˆ ูƒู„ ุงู„
972
+
973
+ 244
974
+ 00:19:59,840 --> 00:20:04,140
975
+ antecedents ุชุญู‚ู‚ู„ู… ูŠุชุญู‚ู‚ ูŠุนู†ูŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ู„ู… ุชุชุญู‚ู‚
976
+
977
+ 245
978
+ 00:20:04,140 --> 00:20:08,540
979
+ ุงู† ุงู„ .. ุงู„ .. ุงู„ consequent ู…ุด ู‡ูŠุชุญู‚ู‚ุŒ ุฏูŠ ุฑุจุงู„ูƒูˆุŒ
980
+
981
+ 246
982
+ 00:20:08,540 --> 00:20:12,080
983
+ ุงุญู†ุง ุฅูŠุด ุงู„ู„ูŠ ุนุงู…ู„ูŠู†ู‡ุŸ ุนุงู…ู„ูŠู† implicationุŒ ุฏุงูŠู…ุง
984
+
985
+ 247
986
+ 00:20:12,080 --> 00:20:17,160
987
+ ููŠ ุจุงู„ูƒ ู…ูŠู†ุŸุงู„ู€ truth table ุชุจุน ุงู„ implication ูˆ
988
+
989
+ 248
990
+ 00:20:17,160 --> 00:20:20,480
991
+ ูŠุจุฏูˆ ุงู† ุงุญู†ุง ู„ุงุฒู… ู†ุญุทู‡ ุฏู‡ ุนู„ู‰ ุฌู†ุจ ู„ุฃู†ู‡ ู…ู† ุงู„ุขู†
992
+
993
+ 249
994
+ 00:20:20,480 --> 00:20:24,660
995
+ ู‡ู†ุจุฏุฃ ู‡ูˆ ุดุบู„ู†ุง ุงู„ุดุงุบู„ ุจู…ุนู†ู‰ ุงู†ู‡ ุงู‚ูˆู„ ู‡ุฐุง ุตุญ ูˆู„ุง
996
+
997
+ 250
998
+ 00:20:24,660 --> 00:20:29,580
999
+ ุบู„ุท ุจู†ุงุก ุนู„ูŠู‡ ูˆ ู„ูŠุณ ุจู†ุงุก ุนู„ู‰ ุชุฎูŠู„ูƒ ุงู„ู…ู†ุทู‚ูŠ ุงู„ู„ูŠ
1000
+
1001
+ 251
1002
+ 00:20:29,580 --> 00:20:32,840
1003
+ ุงู†ุช ุจุชูุชุฑุถ ุงู†ู‡ ู…ู†ุทู‚ูŠ ุจูŠุถุง ู…ุง ู‡ูˆ ู…ุด ู…ู†ุทู‚ูŠ ูู‡ู†ุง ุจุฏู†ุง
1004
+
1005
+ 252
1006
+ 00:20:32,840 --> 00:20:38,540
1007
+ ู†ุญุทู‡ุง ู‡ูŠ P ูˆ Q ู†ูƒุชุจู‡ ุนู„ู‰ ุฌู†ุจ ูˆ ุงู„ implicationfalse
1008
+
1009
+ 253
1010
+ 00:20:38,540 --> 00:20:43,380
1011
+ false ุฎู„ู‘ูŠู‡ุง ุฏุงูŠู…ุง ุนู„ู‰ ุฌู†ุจ ุงู„ true ุทูŠุจ false true
1012
+
1013
+ 254
1014
+ 00:20:43,380 --> 00:20:47,280
1015
+ true ุจุงู„ุธุจุท ู‡ูŠ ู‡ุฐู‡ ุญุงู„ุฉ ู…ู† ุงู„ุญู„ุงุช ุจู‚ูˆู„ูƒ ู…ุด ู…ุถุฑูˆุฑ
1016
+
1017
+ 255
1018
+ 00:20:47,280 --> 00:20:50,660
1019
+ ูƒู„ ุงู„ antecedents ูŠูƒูˆู†ูˆุง ุตุญ ู„ูƒู† ุฑุบู… ุฐู„ูƒ ุงู„
1020
+
1021
+ 256
1022
+ 00:20:50,660 --> 00:20:56,860
1023
+ consequence ุตุญ ู‡ุชู‚ูˆู„ true ุทูŠุจ true false ุงู„ุญุงู„ุฉ
1024
+
1025
+ 257
1026
+ 00:20:56,860 --> 00:21:01,140
1027
+ ุงู„ูˆุญูŠุฏุฉ ุงู„ู„ูŠ ู…ุณุชุซู†ู‰ ูˆ true true is true ุฎู„ู‘ูŠ ู‡ุฐู‡
1028
+
1029
+ 258
1030
+ 00:21:01,140 --> 00:21:04,060
1031
+ ุนู„ู‰ ุฌู†ุจ ุจุฏู†ุง ุนุดุงู† ู†ู…ุญุงู‡ุง ุทูˆู„ ู…ุง ุงุญู†ุง ู…ุงุดูŠูŠู† ููŠ
1032
+
1033
+ 259
1034
+ 00:21:04,060 --> 00:21:05,720
1035
+ ุดุบู„ู†ุง ู„ุฃู†ู‡ ู‡ู†ุญุชุงุฌู‡ุง ูƒุชูŠุฑ
1036
+
1037
+ 260
1038
+ 00:21:08,530 --> 00:21:14,570
1039
+ ุจุนุถ ุงู„ุงุณุชุฏู„ุงู„ุงุช ู†ุงุฎุฏ ุจุนุถ ุงู„ inference rules ุจุนุถ
1040
+
1041
+ 261
1042
+ 00:21:14,570 --> 00:21:17,930
1043
+ ุงู„ุงุณุชุฏู„ุงู„ุงุช ุงู„ู…ู†ุทู‚ูŠุฉ ุงู„ู„ู‰ ู…ู…ูƒู† ู†ุจู†ูŠ ุนู„ูŠู‡ุง ุดุบู„ู†ุง
1044
+
1045
+ 262
1046
+ 00:21:17,930 --> 00:21:25,690
1047
+ ู„ุฅุซุจุงุช ู†ุธุฑูŠุงุช ุจุนุฏ ู‡ูŠูƒ ู„ูˆ ูƒุงู†ุช P is true ู…ุนู†ุงู‡ ุฐู„ูƒ
1048
+
1049
+ 263
1050
+ 00:21:25,690 --> 00:21:32,870
1051
+ ุงู†ู‡ ููŠ or ุงูˆ disjunction in a propositionis true
1052
+
1053
+ 264
1054
+ 00:21:32,870 --> 00:21:37,530
1055
+ ุจุบุถ ุงู„ู†ุธุฑ Q ุงู„ุดูŠุก ุจุบุถ ุงู„ู†ุธุฑ ุฅูŠุด Q ุญุงุฌุฉ ุจุณูŠุทุฉ ุฌุฏุง
1056
+
1057
+ 265
1058
+ 00:21:37,530 --> 00:21:41,850
1059
+ ุตุญ ู„ูƒู† ู…ู†ู‡ุง ุจู†ุจู†ูŠ ุงุณุชุฏู„ุงู„ู†ุง ุนู„ู‰ ุงู„ู†ุธุฑูŠุงุช ุงู„ูƒุจูŠุฑุฉ
1060
+
1061
+ 266
1062
+ 00:21:41,850 --> 00:21:45,750
1063
+ ุงู„ุถุฎู…ุฉ ููŠ ุญุงุฌุงุช ุตุบูŠุฑุฉ ุฒูŠ ู‡ูŠูƒ ููŠ ุญุงุฌุงุช ุตุบูŠุฑุฉ ุฒูŠ ู‡ูŠูƒ
1064
+
1065
+ 267
1066
+ 00:21:45,750 --> 00:21:52,330
1067
+ ุทูŠุจ ุฅุฐุง ูƒุงู†ุช P and Q is true ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู† P is
1068
+
1069
+ 268
1070
+ 00:21:52,330 --> 00:22:01,670
1071
+ true ูˆ Q is true ุตุญ ุชู…ุงู… P is trueู„ุญุงู„ู‡ุง ุงู„ Q is
1072
+
1073
+ 269
1074
+ 00:22:01,670 --> 00:22:04,430
1075
+ true ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู„ conjunction ุชุจุนู‡ู… is true
1076
+
1077
+ 270
1078
+ 00:22:04,430 --> 00:22:08,410
1079
+ ู…ู„ุงุญุธูŠู† ูƒุฏู‡ ุจุณูŠุทุฉ ู…ูุงู‡ูŠู…ู†ุง ุจุณ ู‡ุงุฏ ุจู†ุจู†ูŠ ุนู„ูŠู‡ุง ุดุบู„
1080
+
1081
+ 271
1082
+ 00:22:08,410 --> 00:22:15,790
1083
+ ูƒุชูŠุฑ ูƒุจูŠุฑ ู…ู† ุญุงุฌุงุช ุจุณูŠุทุฉ ูู…ุจุฏุฃูŠุง ุนู…ู„ูŠุฉ ุงู„ุฅุซุจุงุช
1084
+
1085
+ 272
1086
+ 00:22:15,790 --> 00:22:22,050
1087
+ ุจุณูŠุทุฉ ู…ุจู†ูŠุฉ ุนู„ู‰ ุญุงุฌุงุช biologic ุงู†ุช ุนุงุฑูู‡ุง ู„ูƒู† ุฎู„ุงุต
1088
+
1089
+ 273
1090
+ 00:22:22,050 --> 00:22:26,620
1091
+ ู…ุงุฌุฏุชุด ุนู„ู‰ ุจุงู„ูƒ ู„ุญุธุฉ ู…ุง ุจุฏุช ุชุนู…ู„ ุฅุซุจุงุชูƒุทูŠุจ ุฅุฐุง
1092
+
1093
+ 274
1094
+ 00:22:26,620 --> 00:22:31,140
1095
+ ูƒุงู†ุช P ูˆ ู‡ู†ุง ุจุฏู†ุง ุนุดุงู† ู‡ูŠ ูƒุชุจุชู„ูƒูˆุง ู‡ุฐู‡ ุฅุฐุง ูƒุงู†ุช P
1096
+
1097
+ 275
1098
+ 00:22:31,140 --> 00:22:38,040
1099
+ is true ู„ุงุญุธ ูˆ P implies Q is true ูŠุนู†ูŠ ู‡ุฐู‡ true
1100
+
1101
+ 276
1102
+ 00:22:38,040 --> 00:22:45,120
1103
+ ูˆู‡ุฐู‡ true ุทู„ุนู„ูŠู‡ุง ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุงู„ Q ู„ุงุจุฏ ุชุทู„ุน true
1104
+
1105
+ 277
1106
+ 00:22:45,120 --> 00:22:53,590
1107
+ ู„ุงุญุธ ุงู„ุนู…ูˆุฏ ุงู„ุฃูˆู„ ูˆ ุงู„ุชุงู„ุช ููŠ ุงู„ุฌุฏูˆู„ true trueูˆูŠู†
1108
+
1109
+ 278
1110
+ 00:22:53,590 --> 00:23:00,650
1111
+ ููŠู‡ ุจูŠูƒูˆู†ูˆุง true trueุŸ ูุด ู„ู„ุฃุฎูŠุฑุฉ ุตุญุŸ ูุฅุฐุง ุจู†ุชูƒู„ู…
1112
+
1113
+ 279
1114
+ 00:23:00,650 --> 00:23:10,310
1115
+ ุนู† q ู„ุงุฒู… ุชุทู„ุน true okay ุทูŠุจ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„
1116
+
1117
+ 280
1118
+ 00:23:10,310 --> 00:23:13,590
1119
+ affirming ุฃูˆ ุงู„ุชุฃูƒูŠุฏ affirming ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุฃูƒูŠุฏ
1120
+
1121
+ 281
1122
+ 00:23:13,590 --> 00:23:20,530
1123
+ ู„ุฃู†ู‡ ุฃูƒุฏู†ุง ู‚ูŠู…ุฉ q ุทูŠุจ ููŠ ุงู„denying ุงูˆ ุงู„ุงู†ูƒุงุฑ
1124
+
1125
+ 282
1126
+ 00:23:20,530 --> 00:23:25,530
1127
+ ุงู„ุงู†ูƒุงุฑ ุงู†ูŠ ุงู†ูƒุฑ ู‚ูŠู…ุฉ ุงูˆ ุงู‚ูˆู„ false ู„ P ุงู† ู‡ูŠ ุงู„
1128
+
1129
+ 283
1130
+ 00:23:25,530 --> 00:23:29,330
1131
+ false ู‡ูˆ ุงู„ุชุฃูƒูŠุฏ ุชุจุนู‡ุง ู„ูˆ ูƒุงู†ุช negation ุงู„ Q is
1132
+
1133
+ 284
1134
+ 00:23:29,330 --> 00:23:34,530
1135
+ true ูŠุนู†ูŠ ุงู„ Q false ุทูŠุจ ูˆ ุงู„ implication is true
1136
+
1137
+ 285
1138
+ 00:23:34,530 --> 00:23:40,170
1139
+ ุจุฑุถู‡ ุชุทู„ุน ู‡ูŠูƒ ุนู„ู‰ ุงู„ column ุงู„ุชุงู†ูŠ ูˆ ุงู„ุชุงู„ุช ุงู„
1140
+
1141
+ 286
1142
+ 00:23:40,170 --> 00:23:45,850
1143
+ column ุงู„ุชุงู†ูŠ ู„ุงุฒู… ูŠูƒูˆู† false ูˆ ุงู„ุชุงู„ุช true ุงูŠู‡
1144
+
1145
+ 287
1146
+ 00:23:45,850 --> 00:23:52,000
1147
+ ุงู†ุช ุจุชุญู‚ู‚ ู‡ุฐุง ุงู„ูƒู„ุงู…ุŸูู‚ุท ูุฅุฐุง ู‡ุฐุง ุจูŠุฃูƒุฏ ุฃู† P is
1148
+
1149
+ 288
1150
+ 00:23:52,000 --> 00:23:58,740
1151
+ false ูŠุนู†ูŠ negation P ู‡ูŠ ุงู„ true negation P ุชู…ุงู…
1152
+
1153
+ 289
1154
+ 00:23:58,740 --> 00:24:02,040
1155
+ ุนุดุงู† ูƒู†ุช ู‚ู„ุชู„ูƒูˆุง ู‡ุฐุง ุจุฏู†ุง .. ุจุฏู†ุง .. ุฎู„ุงุต ู…ุงููŠุด
1156
+
1157
+ 290
1158
+ 00:24:02,040 --> 00:24:06,440
1159
+ ู…ุฌุงู„ ู‡ุฐุง ู…ุนุธู… ุงู„ู…ุตุงู‚ ู…ุจู†ูŠ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ู‡ุฐุง ู…ุนุธู…
1160
+
1161
+ 291
1162
+ 00:24:06,440 --> 00:24:09,460
1163
+ ู…ุตุงู‚ู†ุง ู…ุจู†ูŠ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ู‡ุฐุง ุชู…ุงู… ูุฅุฐุง ุญุชู‰ ุงู„ุขู†
1164
+
1165
+ 292
1166
+ 00:24:09,460 --> 00:24:13,320
1167
+ ุงุณุชุฏู„ุงู„ุงุช ุจุณูŠุทุฉ ุฌุฏุง ุงุณุชุฏู„ุงู„ุงุช ุจุณูŠุทุฉ ุฌุฏุง ุทูŠุจ ูƒู…ุงู†
1168
+
1169
+ 293
1170
+ 00:24:13,320 --> 00:24:21,320
1171
+ ุงุณุชุฏู„ุงู„ุฅุฐุง ูƒุงู†ุช P implies Q is true and ู‚ู„ู†ุง ู…ุฏุงู…
1172
+
1173
+ 294
1174
+ 00:24:21,320 --> 00:24:26,740
1175
+ ุงู„ุงุชู†ูŠู† ุงู„ premises ู…ุนู†ุงุชู‡ and ุจูŠู†ู‡ู… Q implies R
1176
+
1177
+ 295
1178
+ 00:24:26,740 --> 00:24:34,300
1179
+ is true ูู‡ุฐุง ุจุถู…ู† ู„ู…ุฏุงู… ุงู„ุงุชู†ุชูŠู† ู‡ุฏูˆู„ ุตุญูŠุญูŠู† is
1180
+
1181
+ 296
1182
+ 00:24:34,300 --> 00:24:42,960
1183
+ true ู…ุนู†ุงุชู‡ ุฅุฐุง ูƒุงู†ุช P is true ุฅุฐุง R is true ุชู…ุงู…ุŸ
1184
+
1185
+ 297
1186
+ 00:24:42,960 --> 00:24:47,490
1187
+ ุชู…ุงู…ุงู„ุณูŠู„ูˆุฌูŠุฒู… ู‡ุฐู‡ ู‡ุฐู‡ ู†ุธุฑูŠุฉ ุงู„ุณูŠู„ูˆุฌูŠุฒู… ุงูˆ
1188
+
1189
+ 298
1190
+ 00:24:47,490 --> 00:24:53,290
1191
+ ุงู„ู…ู†ุทู‚ูŠุฉ ุงู„ุงุณุชุฏุงู„ุฉ ุงู„ู…ู†ุทู‚ูŠุฉ ุงูˆ ุงู„ุงุณุชุฑุดุงุฏูŠ ู…ุฏุงู… P
1192
+
1193
+ 299
1194
+ 00:24:53,290 --> 00:24:58,190
1195
+ ุชุถู…ู† ู„ Q ูˆ Q ุชุถู…ู† ู„ R ูุฅุฐุง ู…ู† ุงู„ุฃุณุงุณ P ุชุถู…ู† ู„ R
1196
+
1197
+ 300
1198
+ 00:24:58,190 --> 00:25:04,810
1199
+ ุชุถู…ู† R ูƒูˆูŠุณ ูƒู…ุงู† ูˆุงุญุฏุฉ P this junction Q is true
1200
+
1201
+ 301
1202
+ 00:25:04,810 --> 00:25:12,830
1203
+ ุชู…ุงู… ูˆุงุญุฏุฉ ู…ู†ู‡ู… falseูุฃูƒูŠุฏ ุงู„ุชุงู†ูŠุฉ ุญุชู…ุง .. ุญุชู…ุง is
1204
+
1205
+ 302
1206
+ 00:25:12,830 --> 00:25:18,550
1207
+ true ุตุญุŸ ุฃูƒูŠุฏ ูุฅุฐุง negation P is true ูŠุนู†ูŠ Q is
1208
+
1209
+ 303
1210
+ 00:25:18,550 --> 00:25:24,610
1211
+ true ุญุชู‰ ุงู„ุขู† ุฃู†ุง ุนุงุฑู ุจุณูŠุทุฉ ุฌุฏุง ูˆุณู‡ู„ุฉ ุฌุฏุง ูˆู…ุน ุฐู„ูƒ
1212
+
1213
+ 304
1214
+ 00:25:24,610 --> 00:25:29,310
1215
+ ู…ุงุดูŠ ู…ุนุงูƒ ุจุดูˆูŠุด ู„ุฅู†ู‡ ุจุนุฏูŠู† ู‡ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุฃูƒุจุฑ ู…ู†
1216
+
1217
+ 305
1218
+ 00:25:29,310 --> 00:25:33,840
1219
+ ู‡ูŠูƒ ุชู…ุงู…ุŸูƒู…ุงู† revision ุณุฑูŠุน ุนู„ูŠู‡ุง ุฃุฎุฏู†ุง ู…ุนุธู…
1220
+
1221
+ 306
1222
+ 00:25:33,840 --> 00:25:37,760
1223
+ ุงู„ุญุงู„ุงุช ู‡ู†ุง ุฅุฐุง ูƒุงู†ุช P is true ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู† P or
1224
+
1225
+ 307
1226
+ 00:25:37,760 --> 00:25:43,400
1227
+ ุฃูŠ ุดูŠุก ู‡ุชุทู„ุน ุจุฑุถู‡ true P and Q is true ู…ุนู†ุงุชู‡ ูƒู„
1228
+
1229
+ 308
1230
+ 00:25:43,400 --> 00:25:49,480
1231
+ ูƒู„ ู…ู† ู‡ู…ุง ู„ุญุงู„ู‡ ู…ู†ูุฑุฏ ู‡ูˆ is true ุชู…ุงู… P true Q
1232
+
1233
+ 309
1234
+ 00:25:49,480 --> 00:25:52,120
1235
+ true ูุฅุฐุง ุงู„ุฅุชู†ูŠู† ู…ุน ุจุนุถ conjunction ุงูˆ
1236
+
1237
+ 310
1238
+ 00:25:52,120 --> 00:25:58,190
1239
+ conjunction ู‡ูŠ trueOkay ุฃุฎุฏู†ุง ุจุฑุถู‡ ุงู„ denying ุฅุฐุง
1240
+
1241
+ 311
1242
+ 00:25:58,190 --> 00:26:03,090
1243
+ ูƒุงู†ุช negation Q ู‡ูŠ ุงู„ true ูˆ ุงู„ implication Q ูุฅุฐุง
1244
+
1245
+ 312
1246
+ 00:26:03,090 --> 00:26:07,830
1247
+ negation P ู‡ูŠ ุงู„ true ุจุนุฏูŠู† ุฃุฎุฏู†ุง ุงู„ .. ุงู„ fearing
1248
+
1249
+ 313
1250
+ 00:26:07,830 --> 00:26:12,570
1251
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ .. ุงู„ .. ุงู„ syllogism ุงู„ู„ูŠ ู‡ูŠ P
1252
+
1253
+ 314
1254
+ 00:26:13,540 --> 00:26:17,860
1255
+ employees Q is true ูˆ Q employees R is true ูุฅุฐุง
1256
+
1257
+ 315
1258
+ 00:26:17,860 --> 00:26:23,020
1259
+ automatically by default ุฃูˆ by logic P employees R
1260
+
1261
+ 316
1262
+ 00:26:23,020 --> 00:26:30,480
1263
+ ุจุฑุถู‡ is true ุฌูŠุฏ ูุฅุฐุง ุงู„ุฃู† ู…ุจุฏุฃูŠุง ุฎู„ุตู†ุง ู…ุฌู…ูˆุนุฉ
1264
+
1265
+ 317
1266
+ 00:26:30,480 --> 00:26:35,360
1267
+ ุงุณุชุฏู„ุงู„ุงุช ู‡ู†ุดุชุบู„ ููŠู‡ุง ููŠ ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ุฌุงูŠู†ุฉ ุจุณ
1268
+
1269
+ 318
1270
+ 00:26:35,360 --> 00:26:42,130
1271
+ ุจุฏู†ุง ู†ุนุฑู ุฃู†ู‡ ุงู„ุฃู† ูƒู„ ุงู„ู„ูŠ ูˆุงุถุญ ู„ู†ุงุฅู†ู‡ ุงู„ proof
1272
+
1273
+ 319
1274
+ 00:26:42,130 --> 00:26:47,210
1275
+ ู†ูุณู‡ ูƒ rule ู‡ูˆ ุงู„ู…ูุฑูˆุถ ุฅู†ู‡ relation .. relation ุงู„
1276
+
1277
+ 320
1278
+ 00:26:47,210 --> 00:26:51,430
1279
+ proof ู‡ูˆ relation ูŠุนู†ูŠ demonstrates ุจูˆุถู‘ุญ ู„ู†ุง ุฅุฐุง
1280
+
1281
+ 321
1282
+ 00:26:51,430 --> 00:26:55,370
1283
+ ูƒุงู†ุช ู…ุฌู…ูˆุนุฉ ุงู„ premises ุงู„ู„ูŠ ุณู…ู†ู‡ุง antecedents ุชูˆ
1284
+
1285
+ 322
1286
+ 00:26:55,370 --> 00:27:00,210
1287
+ ู…ุฌู…ูˆุนุฉ ุงู„ premises ุงู„ู…ุนุทูŠุงุช ูƒู„ู‡ู… is true ูƒู„ ูˆุงุญุฏุฉ
1288
+
1289
+ 323
1290
+ 00:27:00,210 --> 00:27:04,790
1291
+ ู„ุญุงู„ู‡ุง ู‡ูŠ true ูุฅุฐุง ูƒู„ู‡ู… ู…ุฌู…ูˆุนุฉ are true ูƒู„ู‡ู… ู…ุนู†ู‰
1292
+
1293
+ 324
1294
+ 00:27:04,790 --> 00:27:09,860
1295
+ ุฐู„ูƒ ุฅู† ุงู„ conclusion C is trueูุฅุฐู† ู‡ุฐู‡ ุจุดูƒู„ ุฃุณุงุณูŠ
1296
+
1297
+ 325
1298
+ 00:27:09,860 --> 00:27:13,980
1299
+ ุงู„ู†ุธุฑูŠุฉ ุงู„ุนุงู…ุฉ ู„ุฃูŠ ููƒุฑุฉ ุฅุซุจุงุช ุจุฏูƒ ุชุจุฏุฃ ุจุฏูƒ ุชุดูˆู
1300
+
1301
+ 326
1302
+ 00:27:13,980 --> 00:27:16,600
1303
+ ู…ุฌู…ูˆุนุฉ ุงู„ premises ุฅูŠุด ุงู„ู…ุนุทูŠุงุช ูˆู‡ุฐู‡ ุงู„ู„ูŠ ูƒู†ุชูˆุง
1304
+
1305
+ 327
1306
+ 00:27:16,600 --> 00:27:19,320
1307
+ ุชุงุฎุฏูˆู‡ุง ููŠ ูƒู„ ุฅุซุจุงุชู‡ุง ุงู„ู„ูŠ ูƒุงู†ุช ุณุงุจู‚ุฉ ููŠ ุฃูŠ ู…ุฑุญู„ุฉ
1308
+
1309
+ 328
1310
+ 00:27:19,320 --> 00:27:22,160
1311
+ ู…ู† ู…ุฑุงุญู„ ุชุนู„ูŠู…ูƒูˆุง ูƒู†ุชูˆุง ุฅูŠุด ุจุชุฏูˆุฑู‡ ุนู„ู‰ ุงู„ู…ุนุทูŠุงุช ููŠ
1312
+
1313
+ 329
1314
+ 00:27:22,160 --> 00:27:27,020
1315
+ ุงู„ุจุฏุงูŠุฉ ูˆู…ู† ุงู„ู…ุนุทูŠุงุช ุจุชุญุงูˆู„ูˆุง ุชุฑูˆุญูˆุง ู„ู„ conclusion
1316
+
1317
+ 330
1318
+ 00:27:27,020 --> 00:27:34,210
1319
+ ุฃูˆ ู„ู„ุงุณุชู†ุชุงุฌ ู„ู„ุงุณุชู†ุชุงุฌ ูุฅุฐู† ุฃูŠ proof ู‡ูˆู‡ูŠ
1320
+
1321
+ 331
1322
+ 00:27:34,210 --> 00:27:37,530
1323
+ ุงุณุชุฑุงุชูŠุฌูŠุชู‡ ุงู„ุฃุณุงุณูŠุฉ ู…ุด ู‡ู†ุทู„ุน ุนู† ู†ูุณ ุงู„ุงุณุชุฑุงุชูŠุฌูŠุฉ
1324
+
1325
+ 332
1326
+ 00:27:37,530 --> 00:27:44,410
1327
+ ู‡ูŠ ู‡ูŠ okay ู†ุงุฎุฏ ู…ุซุงู„ ู‡ุงู„ูˆู‚ุช it's not sunny and
1328
+
1329
+ 333
1330
+ 00:27:44,410 --> 00:27:52,150
1331
+ it's cold ู‡ูŠ ุงู„ุฏู†ูŠุง ู…ุด ู…ุดู…ุณุฉ ูˆุงู„ุฌูˆ ุจุงุฑุฏ ู‡ูŠ ู†ุนุจุฉ
1332
+
1333
+ 334
1334
+ 00:27:52,150 --> 00:27:57,970
1335
+ ู‡ุฐู‡ ู…ุฌู…ูˆุนุฉ premises ุฎู„ูŠ ู‡ุฐู‡ ุจุฏู†ูŠุงู‡ุง ุฃูˆ ุฎู„ูŠู†ูŠ ู†ู‚ูˆู„
1336
+
1337
+ 335
1338
+ 00:27:57,970 --> 00:28:03,230
1339
+ ุนู„ู‰ ุงู„ุฃู‚ู„ ุงู†ุชูˆุง ู‡ุชุญุชุงุฌูˆู‡ุงูˆ ุงู†ุง ุจุดุฑุญ ุฏุงูŠู…ุง ุงุฐุง
1340
+
1341
+ 336
1342
+ 00:28:03,230 --> 00:28:08,930
1343
+ ุงู„ุชุจุณ ุนู†ุฏูƒ ู‡ูˆ ุตุญ ูˆ ุงุฑุฌุนู„ู‡ ุณุงุญุณุจู„ูƒ ุงูŠุงู‡ ู‡ู†ุง ุทุจุนุง
1344
+
1345
+ 337
1346
+ 00:28:08,930 --> 00:28:12,970
1347
+ ูู‡ุฐุง ู…ุจุฏุฃูŠุง ู‡ุงูŠ ุงูˆู„ ู…ุฌู…ูˆุนุฉ premises ู„ูˆ ููŠ ุนู†ุฏู‰
1348
+
1349
+ 338
1350
+ 00:28:12,970 --> 00:28:17,710
1351
+ premises ูˆุงุญุฏุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ู…ุทู„ูˆุจ ุจุฏู†ุง ู†ุซุจุช
1352
+
1353
+ 339
1354
+ 00:28:17,710 --> 00:28:21,490
1355
+ ุงู„ conclusion ุงู„ุฃุฎูŠุฑุฉ ู…ุทู„ูˆุจ ู†ุซุจุช ุงู„ conclusion
1356
+
1357
+ 340
1358
+ 00:28:21,490 --> 00:28:25,670
1359
+ ุงู„ุฃุฎูŠุฑุฉ ุจุดูˆูŠุฉ ุฎุทูˆุงุช ุงู„ุฎุทูˆุงุช ูƒู„ู‡ุง ู„ู† ุชุฎุฑุฌ ุนู† ู…ุฌู…ูˆุนุฉ
1360
+
1361
+ 341
1362
+ 00:28:25,670 --> 00:28:30,980
1363
+ ุงู„ rule of inference ุงูˆ ุงู„ ruleุงู„ rules ุงู„ู„ูŠ
1364
+
1365
+ 342
1366
+ 00:28:30,980 --> 00:28:35,660
1367
+ ุฃุฎุฏู†ุงู‡ู… ู‚ุจู„ ุดูˆูŠุฉ ูู‚ุท ู„ุง ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ ู‡ูŠุฌู†ูˆู„ูƒ ุทุฑูŠู‚ุฉ
1368
+
1369
+ 343
1370
+ 00:28:35,660 --> 00:28:41,720
1371
+ ู†ุธุฑูŠุฉ ูˆุงุถุญุฉ ูˆ ู…ุชุณู„ุณู„ุฉ ุฎู„ูŠู†ุง ู†ุจุฏุฃ ุงู„ุฃูˆู„ู‰ it's not
1372
+
1373
+ 344
1374
+ 00:28:41,720 --> 00:28:46,260
1375
+ sunny ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡ ู…ุนุทู‰ ุงู†ู‡ ูุนู„ูŠุง ูุด ุดู…ุณ ุงู„ูŠูˆู… ูˆ
1376
+
1377
+ 345
1378
+ 00:28:46,260 --> 00:28:52,900
1379
+ ูƒุฐู„ูƒ and cold ุงู„ุฌูˆ ููŠู‡ ุจุฑุฏ we will swim only if
1380
+
1381
+ 346
1382
+ 00:28:52,900 --> 00:28:58,480
1383
+ it's sunny ุงุญู†ุง ู‡ู†ุณุจุญ ุงุฐุง ูƒุงู†ุช ูู‚ุท sunnyุฅุฐุง ูƒุงู†ุช
1384
+
1385
+ 347
1386
+ 00:28:58,480 --> 00:29:02,880
1387
+ ุงู„ุฏู†ูŠุง ู…ุดู…ุณุฉ ุทูŠุจ if we don't swim ุฅุฐุง ุงุญู†ุง
1388
+
1389
+ 348
1390
+ 00:29:02,880 --> 00:29:06,420
1391
+ ู…ุงุณุจุญู†ุงุด ุฅุฐุง we will play volley ู‡ู†ู„ุนุจ ู…ุนุงู†ุงุฉ ูˆ
1392
+
1393
+ 349
1394
+ 00:29:06,420 --> 00:29:09,840
1395
+ ู…ุงููŠุด ุฏุงุนูŠ ู†ุณุจุญ ุนู„ู‰ ุงู„ุจุญุฑ ุฎู„ูŠู†ูŠ ุนู„ู‰ ุงู„ุดุท ู†ู„ุนุจ ูƒุฑุฉ
1396
+
1397
+ 350
1398
+ 00:29:09,840 --> 00:29:14,740
1399
+ ุทุงุฆุฑุฉ ู†ุญุทู‡ุง ุงู„ุดุจูƒ ูˆ ู†ู„ุนุจ ุทุงุฆุฑุฉ ูˆ ุฎู„ุงุต ุทูŠุจ if we
1400
+
1401
+ 351
1402
+ 00:29:14,740 --> 00:29:19,960
1403
+ play volley then we will be home early ู…ุนู†ุงุชู‡
1404
+
1405
+ 352
1406
+ 00:29:19,960 --> 00:29:23,660
1407
+ ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ ุจุฏู†ุง ู†ุซุจุช ๏ฟฝ๏ฟฝู†ู‡ ุงุญู†ุง ูุนู„ุง
1408
+
1409
+ 353
1410
+ 00:29:23,660 --> 00:29:27,220
1411
+ ู‡ู†ุฑูˆุญ ุจุฏุฑูŠู‡ูŠ ุทุจุนุง ุจูŠูˆู„ูˆุฌูŠุง ู…ู†ุทู‚ูŠุฉ ุดุงูŠููŠู†ู‡ุง ุงู†ุชูˆุง
1412
+
1413
+ 354
1414
+ 00:29:27,220 --> 00:29:30,820
1415
+ ู„ุญุงู„ู‡ุง ู‡ูŠ ุจุงูŠู†ุฉ ู‡ูŠ ุจุงูŠู†ุฉ ุงู†ุง ุนุงุฑู ุงู† ู‡ูŠ ุจุงูŠู†ุฉ ุจุณ
1416
+
1417
+ 355
1418
+ 00:29:30,820 --> 00:29:34,600
1419
+ ุงู„ู‡ุฏู ุงู„ุฑุฆูŠุณูŠ ู…ู†ู‡ุง ูƒูŠู ุงุณุชุฎุฏุงู… ุงู„ rules ุนู„ูŠู‡ุง ุจุณ
1420
+
1421
+ 356
1422
+ 00:29:34,600 --> 00:29:41,060
1423
+ ุงู„ุงู† ุงูˆู„ ุดุบู„ุฉ ุจุฏู†ุง ู†ุนู…ู„ ุงู„ notationุฃูˆู„ ุญุงุฌุฉ
1424
+
1425
+ 357
1426
+ 00:29:41,060 --> 00:29:45,060
1427
+ ุฃุฎุฏู†ุงู‡ุง ุจุชุฐุงูƒุฑูŠู† ููŠ ุฃูˆู„ ุญุตุฉ ููŠ ุงู„ู…ุตุงู‚ ู‚ูˆู„ู†ุง ุฅู†
1428
+
1429
+ 358
1430
+ 00:29:45,060 --> 00:29:47,340
1431
+ ุงู„ุฎุทูˆุงุช ุจุชุงุนุชู†ุง ุจุฏู†ุง ู†ูู‡ู… ุงู„ language concise
1432
+
1433
+ 359
1434
+ 00:29:47,340 --> 00:29:50,840
1435
+ language ู…ุด ู‡ูŠูƒ ูˆ ุจุนุฏูŠู† ุจุฏู†ุง ู†ุนู…ู„ู‡ุง ู†ุนู…ู„ notations
1436
+
1437
+ 360
1438
+ 00:29:50,840 --> 00:29:54,480
1439
+ ู„ุฅู„ู‡ุง ูˆ ุจุนุฏูŠู† ู†ุจุฏุฃ ููŠ ุงู„ุงุณุชุฏู„ุงู„ุงุช ุจุชุงุนุชู‡ุง ุฃูˆ ู†ุจุฏุฃ
1440
+
1441
+ 361
1442
+ 00:29:54,480 --> 00:29:56,900
1443
+ ููŠ ุงู„ logic ุงู„ู„ูŠ ุฅุญู†ุง ุดุบุงู„ูŠู† ุนู„ูŠู‡ ูƒ mathematical
1444
+
1445
+ 362
1446
+ 00:29:56,900 --> 00:30:01,620
1447
+ logic ูุฅุญู†ุง ู„ุงู† ููŠ ู†ู‚ุทุฉ ุงู„ notations ุจุฏู†ุง ู†ุฎุชุตุฑ
1448
+
1449
+ 363
1450
+ 00:30:01,620 --> 00:30:04,660
1451
+ ุงู„ู„ุบุฉ ู…ุด ู…ุนุฌูˆู„ุฉ ุจุฏูŠ ุฃู‚ุนุฏ ูƒู„ ุดูˆูŠุฉ ุฃูƒุชุจ ุงู„ุฌู…ู„ุฉ ูƒุงู…ู„ุฉ
1452
+
1453
+ 364
1454
+ 00:30:04,660 --> 00:30:07,960
1455
+ ูุจุฏู†ุง ู†ุฎุชุตุฑู‡ุง ู†ู‚ูˆู„ sunny ุฎู„ุงุต ู‡ุฐุง ุจุฏูŠ ุฃูุชุฑุถู‡ุง ูƒุฅู†ูŠ
1456
+
1457
+ 365
1458
+ 00:30:07,960 --> 00:30:13,050
1459
+ ุจู‚ูˆู„ PP it's sunny ู„ุฃ ุจุฏูŠ ุฃุณู…ูŠู‡ุง sunny ูˆ ุฎู„ุงุต
1460
+
1461
+ 366
1462
+ 00:30:13,050 --> 00:30:15,430
1463
+ what's cool ูุจุชุนุงู…ู„ ู…ุนุงู‡ุง ุฅู†ู‡ ู‡ุฐูŠ ู‡ูŠูƒ ุนู„ู‰ ุจุนุถู‡ุง
1464
+
1465
+ 367
1466
+ 00:30:15,430 --> 00:30:22,220
1467
+ ุฃุตุจุญุช ุฅูŠุด ู‡ุฐูŠ ุงู„ู…ุชุบูŠุฑ ู‡ุฐูŠ Pุงู„ .. ุงู„ proposition
1468
+
1469
+ 368
1470
+ 00:30:22,220 --> 00:30:26,660
1471
+ ู‡ุฐู‡ ุงู„ proposition ุชู…ุงู… ุงู„ู„ูŠ ู‡ูŠ it's sunny ุทูŠุจ
1472
+
1473
+ 369
1474
+ 00:30:26,660 --> 00:30:31,340
1475
+ cold ุฎู„ุตู†ุง swim ุงุฎุชุตุฑู†ุงู‡ู… ุจุณ ุนุดุงู† ู†ุณุชุฎุฏู… ุงู„
1476
+
1477
+ 370
1478
+ 00:30:31,340 --> 00:30:34,620
1479
+ notations ู‡ุฐู‡ ูƒู…ุฎุชุตุฑุงุช ูˆ ุฎู„ุตู†ุงู‡ุง ุงู„ู„ูŠ ูƒุงู† ุงู„
1480
+
1481
+ 371
1482
+ 00:30:34,620 --> 00:30:37,560
1483
+ premises ุงู„ู„ูŠ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ุจุฏู†ุง ู†ุญูˆู„ู‡ุง ู„
1484
+
1485
+ 372
1486
+ 00:30:37,560 --> 00:30:43,120
1487
+ mathematical forms ุนุดุงู† ู†ุจุฏุฃ ู†ุญุท ุนู„ูŠู‡ุง ุงู„ rules
1488
+
1489
+ 373
1490
+ 00:30:43,120 --> 00:30:46,680
1491
+ ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ุชู…ุงู… ูุฅุฐุง ุฃูˆู„ rule ูƒุงู†ุช
1492
+
1493
+ 374
1494
+ 00:30:46,680 --> 00:30:52,550
1495
+ ุฅูŠุด ู…ุชุฐูƒุฑูŠู† it's not sunny and it's coldnegation
1496
+
1497
+ 375
1498
+ 00:30:52,550 --> 00:31:00,890
1499
+ sunny and cold ุชู…ุงู… ุงู„ุชุงู†ูŠุฉ swim if only if sunny
1500
+
1501
+ 376
1502
+ 00:31:00,890 --> 00:31:05,930
1503
+ ูˆู‡ุฐู‡ ูˆุงุญุฏุฉ ู„ูˆ ุฑุฌุนุชูˆุง ู„ู…ุญุงุถุฑุฉ ุงู„ implication ูˆ
1504
+
1505
+ 377
1506
+ 00:31:05,930 --> 00:31:10,170
1507
+ ุญุทูŠุชูƒู… ู…ุฌู…ูˆุนุฉ forms ูƒุงู†ุช if ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ
1508
+
1509
+ 378
1510
+ 00:31:10,170 --> 00:31:16,170
1511
+ only if only if ู…ุนู†ุงุชู‡ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„ ู‡ูŠ ุงู„ P ูˆ ููŠ
1512
+
1513
+ 379
1514
+ 00:31:16,170 --> 00:31:21,920
1515
+ ุงู„ A ูˆ ุจุนุฏู‡ุง ุงู„ Qุฏู‡ ูˆ ู…ุชุฐูƒุฑูŠู† ู„ุฅู† only ู‡ุฐู‡ ู‡ุชู†ููŠู„
1516
+
1517
+ 380
1518
+ 00:31:21,920 --> 00:31:28,300
1519
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ูู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ู…ุงูŠู†ูุนุด ุชูู‡ู…ูˆู‡ุง ุฅู†ู‡ุง
1520
+
1521
+ 381
1522
+ 00:31:28,300 --> 00:31:32,860
1523
+ ู…ุนูƒูˆุณุฉ ู‡ุฐู‡ ูŠู…ูƒู† ูˆุงุญุฏุฉ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุฅุฐุง ู…ุงุฏุฌุชุด
1524
+
1525
+ 382
1526
+ 00:31:32,860 --> 00:31:36,940
1527
+ ูƒูˆูŠุณ ููŠู‡ุง ูƒ language ู…ู…ูƒู† ุชุชุฎุฑุจุท ููƒุชูŠุฑ ูƒูˆูŠุณ ุฅู†ูƒ
1528
+
1529
+ 383
1530
+ 00:31:36,940 --> 00:31:40,460
1531
+ ุชุฑุฌุนูˆุง ู„ู…ุญุงุถุฑุฉ ุงู„ implication ูˆ ุชุดูˆู ู…ุฌู…ูˆุนุฉ ุงู„
1532
+
1533
+ 384
1534
+ 00:31:40,460 --> 00:31:46,300
1535
+ forms ูˆู‡ุฐู‡ ุชุญุฏูŠุฏุง ุงุชุฑูƒุฒ ููŠู‡ุง ูƒูˆูŠุณ ู„ุฅู† by logic
1536
+
1537
+ 385
1538
+ 00:31:47,260 --> 00:31:51,180
1539
+ ุงู„ู…ู†ุทู‚ ู…ู…ูƒู† ุงู„ูƒู„ ูŠูู‡ู…ู‡ุง ู‡ู†ุง ู„ุงุญุธู„ูŠ ุงุฌุฑุจู‡ุง ูƒู…ุงู† ู…ุฑุฉ
1540
+
1541
+ 386
1542
+ 00:31:51,180 --> 00:31:54,540
1543
+ ู‡ุชู‚ูˆู„
1544
+
1545
+ 387
1546
+ 00:31:54,540 --> 00:32:02,440
1547
+ ูŠุง ุงูŠู‡ if ู…ุนู†ุงุชู‡ if sunny then we will swim ุบู„ุท
1548
+
1549
+ 388
1550
+ 00:32:02,440 --> 00:32:12,740
1551
+ ุบู„ุท ู‡ูŠูƒูˆู† ุบู„ุท ุจุงู„ุธุจุท only ู‡ุฐู‡ ู‡ุชู†ููŠู„ูƒ ุญุงู„ุฉ ุงู„
1552
+
1553
+ 389
1554
+ 00:32:12,740 --> 00:32:13,460
1555
+ false ู‡ู†ุง
1556
+
1557
+ 390
1558
+ 00:32:16,540 --> 00:32:20,660
1559
+ ู‡ุชู†ููŠ ุญุงู„ุฉ ุงู„ false ุงู„ู„ูŠ ู‡ู†ุง ุงู†ู‡ ุทุจ ู„ูˆ false ุงู„
1560
+
1561
+ 391
1562
+ 00:32:20,660 --> 00:32:23,580
1563
+ conclusion ู…ู…ูƒู† ูŠูƒูˆู† true ู„ุฃ ู‡ู†ุง ุฑุจุทู„ูƒ ุฅูŠุงู‡ู…ุŒ
1564
+
1565
+ 392
1566
+ 00:32:23,580 --> 00:32:27,540
1567
+ ุจูŠู†ูุนุดุŒ ุจุงู„ุธุจุทุŒ ุจุงู„ุธุจุทุŒ ูุฅุฐุง ุฃู†ุชู… ุฃุฎุฏูŠู† ุจุงู„ูƒู… ุฅู†
1568
+
1569
+ 393
1570
+ 00:32:27,540 --> 00:32:30,460
1571
+ ุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡ ุฎู„ุงุตุŒ ุฃุญู†ุง ู…ุงุดูŠูŠู†ุŒ ุฃู†ุง ุญุงุจุจุช ุจุณ
1572
+
1573
+ 394
1574
+ 00:32:30,460 --> 00:32:33,260
1575
+ ุฃูˆุถุญู„ูƒูˆุง ุฅูŠุงู‡ุงุŒ ู…ุด ุงู„ูƒู„ ู…ู…ูƒู† ู†ุงุฎุฏ ุจุงู„ู‡ุŒ ูุงุฎุฏูˆุง
1576
+
1577
+ 395
1578
+ 00:32:33,260 --> 00:32:38,840
1579
+ ุจุงู„ูƒู… ุฅู†ู‡ ุงู„ุชุฑูƒูŠุจุฉ ู‡ู†ุงุŒ ู‡ุฐู‡ ู‡ูŠ ุงู„ P ูˆู‡ุฐู‡ ู‡ูŠ ุงู„ Q
1580
+
1581
+ 396
1582
+ 00:32:38,840 --> 00:32:42,360
1583
+ ุงู‡
1584
+
1585
+ 397
1586
+ 00:32:42,360 --> 00:32:45,120
1587
+ if and only if ู‡ุฐุง by conditional ู„ุณู‡ุŒ ู‡ุฐู‡ ุงูŠุดุŸ
1588
+
1589
+ 398
1590
+ 00:32:46,020 --> 00:32:50,920
1591
+ only if ุจุฏูˆู† ุงู„ F ุงู„ุฃูˆู„ู‰ุŒ ู„ุงุญุธุŒ ู‡ุฐู‡ ุญุงู„ุฉ ูˆ ู‡ุฐู‡
1592
+
1593
+ 399
1594
+ 00:32:50,920 --> 00:32:56,840
1595
+ ุญุงู„ุฉ ูˆ ุจุฏูˆู† only ุญุงู„ุฉ ุชุงู„ุชุฉ ูƒู…ุงู†ุŒ ูŠุนู†ูŠ ู„ุงุญุธ ู‡ู†ุง
1596
+
1597
+ 400
1598
+ 00:32:56,840 --> 00:33:07,740
1599
+ ุจุฏูˆู† ู‡ุฐู‡ุŒ ู‡ุฐู‡ P ูˆู‡ุฐู‡ QุทูŠุจ ุงู„ุงู† ู„ุฃ only ุจุทู„ุช ู‡ูŠูƒ
1600
+
1601
+ 401
1602
+ 00:33:07,740 --> 00:33:11,900
1603
+ ุตุงุฑุช ู‡ุฐู‡ ู‡ูŠ ุงู„ P ูˆ ู‡ุฐู‡ ู‡ูŠ ุงู„ Q ุงุฎุฏูˆุง ุจุงู„ูƒูˆุง ู…ู‡ู…
1604
+
1605
+ 402
1606
+ 00:33:11,900 --> 00:33:14,000
1607
+ ุฌุฏุง ุงู† ุชูƒูˆู†ูˆุง ุนุงุฑููŠู† ู…ูŠู† ุงู„ P ูˆ ู…ู† ุงู„ Q ู„ุฃู†ู‡ ุจุฏู‡
1608
+
1609
+ 403
1610
+ 00:33:14,000 --> 00:33:17,340
1611
+ ูŠุชุบูŠุฑ ู…ุน ุงู„ two columns ุงู„ุฃูˆู„ ูˆ ุงู„ุชุงู†ูŠ ู‡ุฐุง ู…ุนู†ุงุชู‡
1612
+
1613
+ 404
1614
+ 00:33:17,340 --> 00:33:23,580
1615
+ ุงู† ุงู„ู†ุชูŠุฌุฉ ูƒู„ู‡ุง ุชุชุบูŠุฑ ู…ุนุงูƒู… ุทูŠุจ ู„ูƒู† ู„ูˆ ู…ูˆู„ู†ุง if
1616
+
1617
+ 405
1618
+ 00:33:23,580 --> 00:33:32,060
1619
+ andonly if ู„ุฃ ุฃุตู„ุญ ุฃุตุจุญุช ูƒู„ู‡ุง ู…ุฎุชู„ูุฉ ูƒ operator ุงู„
1620
+
1621
+ 406
1622
+ 00:33:32,060 --> 00:33:36,020
1623
+ operator ูƒู„ู‡ ุจุทู„ ุจุทู„ ุงู„ if then ุฃุตู„ุง ุตุงุฑุช ุญุงุฌุฉ
1624
+
1625
+ 407
1626
+ 00:33:36,020 --> 00:33:42,200
1627
+ ุชุงู†ูŠ ู…ุฎุชู„ูุฉ ุชู…ุงู… okay ุฎู„ุงุต
1628
+
1629
+ 408
1630
+ 00:33:42,200 --> 00:33:44,940
1631
+ ู‡ูŠ ุฏู‡ ุงู„ู„ูŠ ูƒู†ุช ุจุฏุฃ ุฃูˆุถุญู‡ุง ุฃุฑูƒุฒ ุนู„ูŠู‡ุง ูุตุงุฑุช ู‡ู†ุง
1632
+
1633
+ 409
1634
+ 00:33:44,940 --> 00:33:50,240
1635
+ swim employs sunnyูˆ ุจุนุฏ ู‡ูŠูƒ ุฎู„ุงุต ุงุฐุง ุงุญู†ุง ู…ุงุณุจุญู†ุงุด
1636
+
1637
+ 410
1638
+ 00:33:50,240 --> 00:33:53,880
1639
+ ุงุฐุง ู‡ู†ู„ุนุจ volley ู…ุงุณุจุญู†ุงุด ู‡ู†ุง negation swim
1640
+
1641
+ 411
1642
+ 00:33:53,880 --> 00:33:57,800
1643
+ negation swim ุงุฐุง volley ุทูŠุจ ูˆ ุงุฐุง ุงุญู†ุง volley ุงุฐุง
1644
+
1645
+ 412
1646
+ 00:33:57,800 --> 00:34:02,660
1647
+ early ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ ุทูŠุจ ุจุณูŠุท ุงุฐุง ูƒุงู† ู‡ุฐู‡ ุงู„ู…ูˆู‚ุนุงุช
1648
+
1649
+ 413
1650
+ 00:34:02,660 --> 00:34:06,800
1651
+ ู†ุจุฏุฃ ููŠู‡ู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุงูˆู„ ู…ูˆู‚ุน ู‡ูŠ ุงู„ premise
1652
+
1653
+ 414
1654
+ 00:34:06,800 --> 00:34:12,060
1655
+ number one negation sunny and cold ู…ุนู†ุงุชู‡ ู‡ุฐู‡
1656
+
1657
+ 415
1658
+ 00:34:12,060 --> 00:34:17,400
1659
+ ู„ุญุงู„ู‡ุง ุจุญุซุชู‡ุง true ูˆู‡ุฐู‡ ู„ุญุงู„ู‡ุง trueุฎู„ุงุต ู…ุนู†ุงุชู‡ ู‡ูŠ
1660
+
1661
+ 416
1662
+ 00:34:17,400 --> 00:34:23,600
1663
+ ูุนู„ุง not sunny ูุฅุฐุง not sunny ู„ุญุงู„ู‡ุง is true ุทูŠุจ
1664
+
1665
+ 417
1666
+ 00:34:23,600 --> 00:34:29,560
1667
+ ููŠ ุงู†ุฏุฑุงู…ุณ ุชุงู†ูŠุฉ ูƒุงู†ุช ุจุชู‚ูˆู„ ู„ูŠู‡ swim if sunny only
1668
+
1669
+ 418
1670
+ 00:34:29,560 --> 00:34:33,660
1671
+ if sunny ุชู…ุงู… ูุฅุฐุง ูƒุงู†ุช swim employees sunny ุทูŠุจ
1672
+
1673
+ 419
1674
+ 00:34:33,660 --> 00:34:39,200
1675
+ ู„ุงุญุธูˆุง ู‡ู†ุง negation sunny ุงู„ุญุงู„ุฉ
1676
+
1677
+ 420
1678
+ 00:34:39,200 --> 00:34:44,480
1679
+ ุจุชุงุนุฉ ุงู„ denying ุงูˆ ุงู„ุงู†ูƒุงุฑ ู…ุนู†ุงู‡ ุฐู„ูƒ ุงู†ู‡negation
1680
+
1681
+ 421
1682
+ 00:34:44,480 --> 00:34:47,960
1683
+ swim ู‡ุชุทู„ุน negation swim ู‡ุงูŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ rules
1684
+
1685
+ 422
1686
+ 00:34:47,960 --> 00:34:50,500
1687
+ ุงู„ู„ูŠ ูƒู†ุง ุจุชูƒู„ู… ุนู†ู‡ุง ูˆุงุญุฏุฉ ู…ู† ุงู„ rules ุงู„ู„ูŠ ุญูƒูŠู†ุง
1688
+
1689
+ 423
1690
+ 00:34:50,500 --> 00:34:55,200
1691
+ ุนู†ู‡ู… ู‚ุจู„ ุดูˆูŠุฉ ูุฅุฐุง negation swim is true ุทูŠุจ ุจุฑุถู‡
1692
+
1693
+ 424
1694
+ 00:34:55,200 --> 00:34:57,560
1695
+ ููŠ ุนู†ุฏู‰ premise ุฑู‚ู… ุชู„ุงุชุฉ ูƒุงู†ุช ุจุชู‚ูˆู„ ุงู„ negation
1696
+
1697
+ 425
1698
+ 00:34:57,560 --> 00:35:07,420
1699
+ swim ู‡ูŠ ุจูŠุถู…ู† ู„ูŠู‡ ุงูˆ predicate volley ุชู…ุงู… ู‡ู†ุง
1700
+
1701
+ 426
1702
+ 00:35:07,420 --> 00:35:14,210
1703
+ ุงู„ุชุฃูƒูŠุฏ ู„ุฅู† ูุนู„ุง ู‡ุฐู‡ true ู‡ุฐู‡ trueูุฅุฐุง ู‡ุฐู‡ true
1704
+
1705
+ 427
1706
+ 00:35:14,210 --> 00:35:19,930
1707
+ ู„ุงุญุธุชู‡ ุงู„ negation swim ู‡ูŠ ุงู„ู„ูŠ true ู…ุด ุงู„ swim ู‡ูŠ
1708
+
1709
+ 428
1710
+ 00:35:19,930 --> 00:35:24,410
1711
+ ุงู„ู„ูŠ true ุตุญ ูุฅุฐุง ู‡ุฐู‡ ูƒุงู…ู„ุฉ ู‡ูŠูƒ ุนู„ู‰ ุจุนุถู‡ุง is true
1712
+
1713
+ 429
1714
+ 00:35:24,410 --> 00:35:27,810
1715
+ ุทูŠุจ ู…ุง ู‡ุฐู‡ ู‡ูŠ ูƒุงู…ู„ุฉ ุจุงู„ negation ุฌุงูŠ ู†ุงุฒู„ุฉ ูƒุงู…ู„ุฉ
1716
+
1717
+ 430
1718
+ 00:35:27,810 --> 00:35:31,550
1719
+ ุนู„ู‰ ุจุนุถู‡ุง ู„ูˆ ู…ุงููŠุด ูƒู†ุง ู†ู‚ูˆู„ูƒ ุงู‡ ุฏูŠ false ู„ูƒู† ูƒุงู…ู„ุฉ
1720
+
1721
+ 431
1722
+ 00:35:31,550 --> 00:35:34,530
1723
+ ุฒูŠู‡ุง ุฒูŠ ุจุงู‚ุง ู‡ูŠู‡ู… ู‡ุฐู‡ true ูุฅุฐุง ู‡ุฐู‡ ูƒุงู…ู„ุฉ ุนู„ู‰
1724
+
1725
+ 432
1726
+ 00:35:34,530 --> 00:35:39,300
1727
+ ุจุนุถู‡ุง negation swim is trueูˆ ู‡ุฐุง ุจุถู…ู†ู„ูŠ ุฅุฐุง ูƒุงู† ุงู„
1728
+
1729
+ 433
1730
+ 00:35:39,300 --> 00:35:43,180
1731
+ relation ุจุชุงุนุฉ ุงู„ implication ูƒุงู…ู„ุฉ ู‡ูŠ true ุฃูƒูŠุฏ
1732
+
1733
+ 434
1734
+ 00:35:43,180 --> 00:35:49,300
1735
+ ู…ุนู†ุงุชู‡ ุงู„ Q ุจุชุงุนุชู‡ุง ุจุฑุถู‡ true ุชู…ุงู… volley is true
1736
+
1737
+ 435
1738
+ 00:35:49,300 --> 00:35:52,980
1739
+ ุงุณุชู†ุชุฌู†ุงู‡ุง ุทูŠุจ ููŠ ุฃู† ุฏูŠ ููŠ ุงู„ุขุฎุฑ ูƒุงู† ุขุฎุฑ premise
1740
+
1741
+ 436
1742
+ 00:35:52,980 --> 00:35:57,540
1743
+ ู…ูˆุฌูˆุฏุฉ ุฃูˆ ู…ุนุถุฉ ู…ูˆุฌูˆุฏ volley ุฅุฐุง ุจุฑุถู‡ ู†ูุณ ู‚ุงู†ูˆู†
1744
+
1745
+ 437
1746
+ 00:35:57,540 --> 00:36:02,640
1747
+ ุงู„ู„ูŠ ุฌุงุจู„ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฃูƒูŠุฏ ุงู„ what is affirming
1748
+
1749
+ 438
1750
+ 00:36:03,440 --> 00:36:07,860
1751
+ firming ุฎู„ุงุต ู…ุฏุงู… true ูˆ ุงู„ู„ูŠ true employees ุงู„
1752
+
1753
+ 439
1754
+ 00:36:07,860 --> 00:36:11,300
1755
+ true ูƒู„ู‡ุง ุนู„ู‰ ุจุนุถ true ูุฅุฐุง ุงู„ุชุงู†ูŠ ู„ุงุฌุฏ ุชูƒูˆู† true
1756
+
1757
+ 440
1758
+ 00:36:11,300 --> 00:36:15,560
1759
+ ุฎู„ุงุต ูุฅุฐุง early ูˆู‡ุฐุง ู…ุนู†ุงู‡ ุฃู†ู†ุง ูุนู„ุง ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ
1760
+
1761
+ 441
1762
+ 00:36:15,560 --> 00:36:19,400
1763
+ ู…ุนู†ุงู‡ ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ ุจุณ ูƒู„ู‡ุง ุงุณุชุฏู„ุงู„ู†ุงู‡ุง ู…ุด ู‡ูŠ
1764
+
1765
+ 442
1766
+ 00:36:19,400 --> 00:36:24,000
1767
+ biological ูุฑูˆุญู†ุง ู„ู„ุญุฏุซ ุงุญู†ุง ุงู„ุขู† ุนุงุฑููŠู† ุงู†ู‡ okay
1768
+
1769
+ 443
1770
+ 00:36:24,000 --> 00:36:30,250
1771
+ ุจุงูŠู†ุฉ ู…ู† ุดูƒู„ู‡ุง ุงู†ู‡ ู‡ู†ุฑูˆุญ ุจุฏุฑูŠ ุจุณ ุจุฏู†ุงู†ุฑ๏ฟฝ๏ฟฝุจู‡ุง ุจุดูƒู„
1772
+
1773
+ 444
1774
+ 00:36:30,250 --> 00:36:34,530
1775
+ ุฑูŠุงุถูŠ ูˆ ู†ุซุจุชู‡ุง ูˆุงู‚ุนูŠุง ุจุดูƒู„ ุฑูŠุงุถูŠ ุญุชู‰ ู„ูˆ ูƒุงู†ุช very
1776
+
1777
+ 445
1778
+ 00:36:34,530 --> 00:36:40,570
1779
+ modest ุงู„ุงุซุจุงุช ุงู„ู…ู‡ู… ุงู†ูƒ ุชุซุจุชู‡ุง okay ู†ุตู„ ู„ุญุงุฌุฉ
1780
+
1781
+ 446
1782
+ 00:36:40,570 --> 00:36:44,510
1783
+ ู…ู‡ู…ุฉ ู‡ูŠ ุงู„ rules ุงูˆ ุงู„ inference rules ู„ู„
1784
+
1785
+ 447
1786
+ 00:36:44,510 --> 00:36:48,790
1787
+ quantifiers ู„ูŠุดุŸ ู„ู„ quantifiers ููŠ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุฉ
1788
+
1789
+ 448
1790
+ 00:36:48,790 --> 00:36:54,150
1791
+ quantifiers ุฃุฎุฏู†ุงู‡ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ูƒุงู† ููŠ ุนู†ุฏูŠุฅุฐุง
1792
+
1793
+ 449
1794
+ 00:36:54,150 --> 00:36:56,850
1795
+ ู…ุชุฐูƒุฑูŠู† ุงู„ for all ูˆ there exist ุทุจ ู‡ุฏูˆู„ ู„ู…ุง
1796
+
1797
+ 450
1798
+ 00:36:56,850 --> 00:36:59,730
1799
+ ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ู‡ู„ ููŠู‡ู… ุงุณุชุฏู„ุงู„ุงุชุŸ ุฃู‡ ููŠู‡ู…
1800
+
1801
+ 451
1802
+ 00:36:59,730 --> 00:37:05,410
1803
+ ุงุณุชุฏู„ุงู„ุงุช ุจู‚ุฏุฑ ุงุณุชุฏู„ ู…ู†ู‡ู… ุนู„ู‰ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุฒูŠ if for
1804
+
1805
+ 452
1806
+ 00:37:05,410 --> 00:37:11,070
1807
+ all x P of X is true ู…ุนู†ุงุชู‡ ูƒู„ ุนู†ุตุฑ ุฏุงุฎู„ ุงู„
1808
+
1809
+ 453
1810
+ 00:37:11,070 --> 00:37:15,170
1811
+ universe of discourse ุชุงุนุฉ X ู‡ูˆ true ุตุญ ู…ุนู†ุงุชู‡ ุฏู„ูƒ
1812
+
1813
+ 454
1814
+ 00:37:15,170 --> 00:37:18,530
1815
+ ุฃู† P of O ูˆ O ู‡ุฐุง ุฃูŠ ูˆุงุญุฏ ุฏุงุฎู„ ุงู„ universe of
1816
+
1817
+ 455
1818
+ 00:37:18,530 --> 00:37:22,590
1819
+ discourseุงู„ุชุงู„ุฉ ุงู„ู…ู†ุทู‚ูŠุฉ ูˆ ู…ุงููŠู‡ุง ุบู„ุจุฉ ู‡ุฐู‡ .. ู‡ุฐู‡
1820
+
1821
+ 456
1822
+ 00:37:22,590 --> 00:37:27,570
1823
+ ู…ุงููŠู‡ุง ุบู„ุจุฉ universal instant .. instant ..
1824
+
1825
+ 457
1826
+ 00:37:27,570 --> 00:37:33,170
1827
+ instantational ูƒูˆูŠุณ ูุฅุฐุง ุฃูŠ ูˆุงุญุฏุฉ ู‡ูŠ true ุฎู„ุตู†ุง
1828
+
1829
+ 458
1830
+ 00:37:33,170 --> 00:37:40,450
1831
+ ุทูŠุจ ู‡ุฐู‡ ุงู„ู„ูŠ ุดูˆูŠุฉ ุจุฏู‡ุง ุชุฑูƒุฒูˆุง ู…ุนุงูŠุง ุทูŠุจ if P of G
1832
+
1833
+ 459
1834
+ 00:37:40,450 --> 00:37:49,460
1835
+ is true ุงุฐุง for all X P of X is trueุจุงู„ุดูƒู„ ู‡ุฐุง ูˆ
1836
+
1837
+ 460
1838
+ 00:37:49,460 --> 00:37:53,880
1839
+ ุจุฏูˆู† ู…ุง ุงูˆุถุญ ุงู„ุดูŠุงู„ ุฌูŠ ุงู„ูƒู„ุงู… ู…ุด ุตุญ ุงู„ูƒู„ุงู… ู…ุด ุตุญ
1840
+
1841
+ 461
1842
+ 00:37:53,880 --> 00:38:00,380
1843
+ ุตุญูŠุญ ู„ูƒู† ู„ู…ุง ุงู‚ูˆู„ ุฌูŠ arbitrary element from
1844
+
1845
+ 462
1846
+ 00:38:00,380 --> 00:38:04,860
1847
+ universe of discourse arbitrary
1848
+
1849
+ 463
1850
+ 00:38:04,860 --> 00:38:13,380
1851
+ ุจู…ุนู†ู‰ ุจุดูƒู„ ุงุนุชุจุงุทูŠ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ุฃุฎุฏู†ุงู‡ุง ุจู…ุนู†ู‰ ุงู† ุฌูŠ
1852
+
1853
+ 464
1854
+ 00:38:13,380 --> 00:38:16,880
1855
+ ู…ู…ูƒู† ุชูƒูˆู† ุงูŠ element ุฏุงุฎู„ universe of discourse
1856
+
1857
+ 465
1858
+ 00:38:19,450 --> 00:38:23,610
1859
+ ู‡ู‚ูˆู„ ุทู„ุงุจ ูƒู„ู‡ู… ู‡ูŠู†ุฌุญูˆุง ุงู…ุชู‰ ุงู„ูƒู„ุงู… ู‡ุฐุงุŸ ุงู„ูƒู„ุงู… ู‡ุฐุง
1860
+
1861
+ 466
1862
+ 00:38:23,610 --> 00:38:26,510
1863
+ ุฅุฐุง ูƒุงู† ุนู„ู‰ ุงู„ุบู…ุถูŠ ุดุงูˆุฑุช ุนู„ู‰ ุฃูŠ ูˆุงุญุฏ ูˆ ู‚ู„ุช ู‡ุฐุง
1864
+
1865
+ 467
1866
+ 00:38:26,510 --> 00:38:31,430
1867
+ ู‡ูŠู†ุฌุญ true ุทูŠุจ ู‡ุฐุง ู‡ูŠู†ุฌุญ true ู‡ุฐุง ู‡ูŠู†ุฌุญ true ุทุจ ุน
1868
+
1869
+ 468
1870
+ 00:38:31,430 --> 00:38:35,170
1871
+ ู…ูŠู† ู‡ูŠุฌูŠ ุชูŠุฌูŠุŸ ู‡ุฐุง ู‡ูŠู†ุฌุญ true ูˆ ุฃู†ุง ู…ุบู…ุถ ูˆ ุนุงุฑู ..
1872
+
1873
+ 469
1874
+ 00:38:35,170 --> 00:38:37,930
1875
+ ู‡ูŠู‚ูˆู„ูŠ ุบู…ุถ ู‡ู†ุงูƒ ูˆ ุดุงูˆุฑ ุนู„ู‰ ุฃูŠ ูˆุงุญุฏ ูˆ ุจุฏู†ุง ู†ุฎุฑุจุทู‡ู…
1876
+
1877
+ 470
1878
+ 00:38:37,930 --> 00:38:41,250
1879
+ ุฅุฐุง ุฃู†ุง ุนุงุฑู ุฅู† ูƒู„ู‡ ู‡ูŠู†ุฌุญ ูˆ ู‡ู†ุฌุญูˆุง .. ู‡ู†ุฌุญูƒูˆุง
1880
+
1881
+ 471
1882
+ 00:38:41,250 --> 00:38:44,610
1883
+ ูƒู„ูƒูˆุง ู…ุด ู‡ูŠูุฑู‚ ู…ุนุงูŠุง ูˆูŠู† ู‡ุดุงูˆุฑ ุตุญุŸ arbitrarily
1884
+
1885
+ 472
1886
+ 00:38:45,780 --> 00:38:49,380
1887
+ arbitrary ุจุดูƒู„ ุนุดูˆุงุฆูŠ ู…ุด ูุงุฑู‚ุฉ ู…ุนุงูŠุง ูˆูŠู† ุฃุตุจุนูŠ
1888
+
1889
+ 473
1890
+ 00:38:49,380 --> 00:38:54,200
1891
+ ู‡ูŠุฑูˆุญ ูุฅุฐุง ู‡ุงุฎุชุงุฑ ุฃูŠ ุญุฏ ูˆ ุงู„ุฃุตุจุญ ู‡ูŠุฌูŠ ุนู„ู‰ ุฃูŠ ุญุฏ ู…ุด
1892
+
1893
+ 474
1894
+ 00:38:54,200 --> 00:39:00,640
1895
+ ู…ุดูƒู„ุฉ ูˆ ู‡ู‚ูˆู„ is it true ุฅุฐุง ูุนู„ุง ุชุญู‚ู‚ ู‡ุฐุง ุงู„
1896
+
1897
+ 475
1898
+ 00:39:00,640 --> 00:39:06,020
1899
+ condition ูุฅุฐุง for all is true ูˆุงุถุญูŠุชุŸ ูุฅุฐุง
1900
+
1901
+ 476
1902
+ 00:39:06,020 --> 00:39:10,300
1903
+ ุจุงู„ู…ุทู„ู‚ ู„ุฃ ู‡ูˆ ูƒู„ุงู… ู…ุด ุตุญ ู„ูƒู† ู„ู…ุง ุฃู‚ูˆู„ ุฌูŠ arbitrary
1904
+
1905
+ 477
1906
+ 00:39:10,300 --> 00:39:15,500
1907
+ elementุฃู‡ ุจุชุตูŠุฑูƒ ุตุญูŠุญุฉ ู„ูŠุดุŸ ู„ุฅู† ุฃู†ุง ู…ุงุฎุฏู‡ ุจุฏูˆู†
1908
+
1909
+ 478
1910
+ 00:39:15,500 --> 00:39:19,620
1911
+ ุชุนูŠูŠู† ุฃู†ุง ู…ุด ู…ุญุฏุฏ ูˆุงุญุฏ ู…ุนูŠู† ู‚ู„ุช ุนู„ูŠู‡ ุฃู‡ ู‡ุฐุง ู‡ูŠู†ุฌุญ
1912
+
1913
+ 479
1914
+ 00:39:19,620 --> 00:39:24,440
1915
+ ุฃู†ุง ุฃูŠ ูˆุงุญุฏ ู‡ูŠุฌูŠ ู‚ุฏุงู…ูŠ ู‡ู‚ูˆู„ู„ู‡ ุฃู‡ ู‡ูŠู†ุฌุญ ู…ู† ุงู„
1916
+
1917
+ 480
1918
+ 00:39:24,440 --> 00:39:27,100
1919
+ universe of discourse ูู‡ุฐุง automatically ู‡ูŠู‚ูˆุฏู†ูŠ
1920
+
1921
+ 481
1922
+ 00:39:27,100 --> 00:39:30,680
1923
+ ู„ููƒุฑุฉ ุฃู† ู…ุนู†ุงุชู‡ ุฃู†ุง ู…ุด ูุงุฑู‚ุฉ ู…ุนุงูƒ ูƒู„ู‡ู… ู‡ูŠู†ุฌุญูˆุง ุฃู†ุง
1924
+
1925
+ 482
1926
+ 00:39:30,680 --> 00:39:33,200
1927
+ ุนุงู…ู„ fast seven ูƒู„ู‡ู… ู‡ูŠู†ุฌุญูˆุง ู…ุฏุงู… ู…ุด ูุงุฑู‚ุฉ ุนู†ุฏ ู…ูŠู†
1928
+
1929
+ 483
1930
+ 00:39:33,200 --> 00:39:39,140
1931
+ ู‡ูŠุฌูŠ ุฃุตุจุนูŠ ููˆุถุญุฉ ุงู„ุขู† ุฅุฐุง ูƒุงู†ุช arbitrary ู‡ูŠู†ุฌุญ ุงู†
1932
+
1933
+ 484
1934
+ 00:39:39,140 --> 00:39:47,770
1935
+ ุดุงุก ุงู„ู„ู‡ุฅุฐุง ุจุชุตูŠุฑ for all x P of X ุทูŠุจ ููŠ ุงู„ exist
1936
+
1937
+ 485
1938
+ 00:39:47,770 --> 00:39:53,490
1939
+ there exist x P of X ุฅุฐุง
1940
+
1941
+ 486
1942
+ 00:39:53,490 --> 00:40:00,150
1943
+ ู‡ุฐู‡ true ุนู„ู‰ ุทูˆู„ ู…ุนู†ุงุชู‡ P of C is true ุจุฑุถู‡
1944
+
1945
+ 487
1946
+ 00:40:00,150 --> 00:40:07,290
1947
+ ุจุงู„ู…ุทู„ู‚ ู‡ูŠูƒูŠ ู…ุด ู…ู†ุทู‚ูŠุฉ ูƒุชูŠุฑ ู…ุด ู…ุนู†ุงู‡ C ูŠุนู†ูŠู„ูƒู†
1948
+
1949
+ 488
1950
+ 00:40:07,290 --> 00:40:13,130
1951
+ ู„ุงุญุธ ู„ู…ุง ุฃู‚ูˆู„ ู‡ุฐู‡ c ุงู„ุฎุตูˆุตูŠุฉ ู‡ุฐู‡ a new constant c
1952
+
1953
+ 489
1954
+ 00:40:13,130 --> 00:40:21,230
1955
+ a new constant c ูุฅุฐู† ู‡ู‚ูˆู„ there exist ุฃู† ููŠ ุญุฏ
1956
+
1957
+ 490
1958
+ 00:40:21,230 --> 00:40:26,610
1959
+ ู‡ูŠู†ุฌุญ ู„ูŠู† ุนูƒุณู†ุงู‡ุง ู„ู„ุฃุณู ุฃู† ูˆุงู„ู„ู‡ ููŠ ุญุฏ ู‡ูŠู†ุฌุญ ุทุจ
1960
+
1961
+ 491
1962
+ 00:40:26,610 --> 00:40:30,330
1963
+ ุฃู…ุด ู…ุถุฑูˆุฑ ู„ูƒู„ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ูˆูŠู…ูƒู† ูˆุงุญุฏ ุจุณ ุทูŠุจ ู„ู…ุง
1964
+
1965
+ 492
1966
+ 00:40:30,330 --> 00:40:34,010
1967
+ ุฃู‚ูˆู„ ููŠ ุญุฏ ู‡ูŠู†ุฌุญ ูˆ ุฃู‚ูˆู„ ููŠ ุงู„ุขุฎุฑ ุงู„ู„ูŠ ู‡ูŠู†ุฌุญ ู‡ุฐุง x
1968
+
1969
+ 493
1970
+ 00:40:34,010 --> 00:40:38,680
1971
+ ุจุณ ุฃู†ุง ู…ุงุญุฏุฏุชุด xุฃู†ุง ู‚ู„ุช ุฅู†ู‡ ููŠ ุงู„ new constant ุงู„
1972
+
1973
+ 494
1974
+ 00:40:38,680 --> 00:40:42,580
1975
+ new constant ู‡ุฐุง ุงุณู…ู‡ X ูˆ X ู‡ูŠู†ุฌุญ X ู‡ุฐุง ู‡ูŠุทู„ุน ููŠ
1976
+
1977
+ 495
1978
+ 00:40:42,580 --> 00:40:46,320
1979
+ ุงู„ุขุฎุฑ ู…ุญู…ุฏ ู‡ูŠุทู„ุน ุฃุญู…ุฏ ู‡ูŠุทู„ุน ุนู…ุฑ ุงู„ู…ู‡ู… ุฅู†ู‡ ู‡ูŠุทู„ุน
1980
+
1981
+ 496
1982
+ 00:40:46,320 --> 00:40:49,660
1983
+ ุญุฏุง ู…ู† ู…ูŠู† ู…ู† ุงู„ universe of discourse ู…ู† ูุถุงุก
1984
+
1985
+ 497
1986
+ 00:40:49,660 --> 00:40:54,080
1987
+ ุงู„ุนูŠู†ุฉ ุฃู†ุง ุญุงุทุทู„ู‡ new constant ุนุดุงู† ู…ุงูŠูƒูˆู†ุด ุญุฏุง
1988
+
1989
+ 498
1990
+ 00:40:54,080 --> 00:41:01,040
1991
+ ุชุญุฏูŠุฏุง ู…ู† ุงู„ุนูŠู†ุฉ ู…ุญุฏุฏู‡ ุดุฎุตุง ู„ุฃ ุฃู†ุง ู‚ู„ุช ู‡ูˆ X ูˆ ู‡ูˆ
1992
+
1993
+ 499
1994
+ 00:41:01,040 --> 00:41:06,500
1995
+ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุนูŠู†ุฉ ุฃู†ุช ุญุงุทุถู„ูƒ ุงู„ุขู† ู…ูŠู† X ู…ุด ูุงู‡ู…ูƒูˆูŠุณ
1996
+
1997
+ 500
1998
+ 00:41:06,500 --> 00:41:13,200
1999
+ ูˆุงุถุญุช ูุฅุฐุง ูƒู…ุงู† ู…ุฑุฉ C ู‡ุฐู‡ ุงู„ new constant ู…ุด
2000
+
2001
+ 501
2002
+ 00:41:13,200 --> 00:41:16,960
2003
+ ุจุงู„ุถุฑูˆุฑูŠ ุฃู† ู‡ูˆ ู…ูˆุฌูˆุฏ ู…ู† ุงู„ elements ุจุชุงุนุฉ ู…ูŠู†ุŸ
2004
+
2005
+ 502
2006
+ 00:41:16,960 --> 00:41:20,560
2007
+ ุจุชุงุนุฉ ุงู„ universe of discourse ุฃู†ุง ุจู‚ูˆู„ C ู‡ูˆ
2008
+
2009
+ 503
2010
+ 00:41:20,560 --> 00:41:25,800
2011
+ constant ู…ูˆุฌูˆุฏ ูˆ ุจูŠุญู‚ู‚ ู…ุงุฏุงู… there exist ุจุณ ู…ูŠู†ุŸ
2012
+
2013
+ 504
2014
+ 00:41:25,800 --> 00:41:31,640
2015
+ ุฃูŠ ูˆุงุญุฏ ู…ู…ูƒู† ูŠูƒูˆู† C ุฃูŠ ูˆุงุญุฏ ููŠูƒู… ู…ู…ูƒู† ูŠูƒูˆู† C ู…ู† ุงู„
2016
+
2017
+ 505
2018
+ 00:41:31,640 --> 00:41:35,710
2019
+ universe of discourseูƒูˆูŠุณุŸ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู…ู†ุทุจู‚
2020
+
2021
+ 506
2022
+ 00:41:35,710 --> 00:41:39,630
2023
+ ุนุงุฏูŠุŒ C ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ุฃูƒุชุฑ ู…ู† ูˆุงุญุฏุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฃูƒุชุฑ
2024
+
2025
+ 507
2026
+ 00:41:39,630 --> 00:41:44,990
2027
+ ู…ู† ูˆุงุญุฏุŒ ู„ูƒู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ููŠ ุญุฏ ู‡ูŠุญู‚ู‚ ุงู„ constant CุŒ
2028
+
2029
+ 508
2030
+ 00:41:44,990 --> 00:41:49,950
2031
+ ูˆุงุถุญูŠุชุŸ ู…ุงู‚ุฏุฑุด ุฃุญุฏุฏ ุชุญุฏูŠุฏู‹ุง C ู‡ูˆุŒ ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ P of
2032
+
2033
+ 509
2034
+ 00:41:49,950 --> 00:41:54,470
2035
+ AhmedุŒ ุจุณ AhmedุŒ ู„ุฃ ู‡ูŠ ุบู„ุทุŒ ู‡ูŠ ุบู„ุทุŒ there exist
2036
+
2037
+ 510
2038
+ 00:41:54,470 --> 00:41:57,550
2039
+ ู…ุนู†ุงุชู‡ ุจุถู…ุงู†ู„ูŠุด ุชุญุฏูŠุฏู‹ุง AhmedุŒ ุงู„ there exist ุงู„ู„ูŠ
2040
+
2041
+ 511
2042
+ 00:41:57,550 --> 00:42:00,490
2043
+ is a trueุŒ ู„ุฃ ู…ุงุญุฏุด ุฌุงู„ ุฅู†ู‡ Ahmed ุชุญุฏูŠุฏู‹ุงุŒ ูŠู…ูƒู†
2044
+
2045
+ 512
2046
+ 00:42:00,490 --> 00:42:04,980
2047
+ ู…ุญู…ุฏุŒ ูŠู…ูƒู† ุนู…ุฑูˆุŒ ูŠู…ูƒู† ุฎุงู„ุฏุตุญูŠุญ ูุฅุฐุง ุจู‚ูˆู„ C ูˆ C ู‡ุฏุง
2048
+
2049
+ 513
2050
+ 00:42:04,980 --> 00:42:11,660
2051
+ ู…ู…ูƒู† ูŠูƒูˆู† ุฃูŠ ุญุฏ ุจุณ ุฃู†ุง ุถุงู…ู† ุฅู†ู‡ ููŠ ุญุฏ ู‡ูŠูƒูˆู† ุญู‚ู‚ ุงู„
2052
+
2053
+ 514
2054
+ 00:42:11,660 --> 00:42:17,540
2055
+ P of X ููŠ ุญุฏุตุญูŠุญุŸ ุชู…ุงู… ูุญุทู†ุง ู„ู‡ a new constant
2056
+
2057
+ 515
2058
+ 00:42:17,540 --> 00:42:22,940
2059
+ ุนุดุงู† ู†ุทู„ุน ู…ู† ู…ุทุจ ุฃู†ู‡ ู‡ูŠูƒ ุญุฏุฏุชู‡ ู„ุฃ ุฃู†ุง ู…ุญุฏุฏุชุด ู‡ุฐุง
2060
+
2061
+ 516
2062
+ 00:42:22,940 --> 00:42:28,540
2063
+ new constant ุทูŠุจ ู‡ุฐุง ุจุชู‡ูŠุฃู„ูŠ ูˆุงุถุญุฉ object ุฏุงุฎู„ ุงู„
2064
+
2065
+ 517
2066
+ 00:42:28,540 --> 00:42:31,700
2067
+ universe of discourse ุฅุฐุง ู‡ูˆ true ูู…ุนู†ุงุชู‡ there
2068
+
2069
+ 518
2070
+ 00:42:31,700 --> 00:42:36,780
2071
+ exist ุฎู„ุงุต ููŠ ู…ุนุงู‡ ุญุฏุง ูู„ูŠูƒู† ุฅุฐุง ู‡ูˆ ู„ุญุงู„ู‡ ูู„ูŠูƒู† ููŠ
2072
+
2073
+ 519
2074
+ 00:42:36,780 --> 00:42:39,640
2075
+ ุงู„ุญุงู„ุชูŠู† ุงุชุญู‚ู‚ุช there exist there exist ููŠ
2076
+
2077
+ 520
2078
+ 00:42:39,640 --> 00:42:44,080
2079
+ ุงู„ุญุงู„ุชูŠู† ุญุชู‰ ุงุชุญู‚ู‚ุช ุฎู„ุงุต ู…ุด ู‡ู†ุฏุง ู…ุดูƒู„ุฉู…ุด ู‡ูŠูƒูˆู† ููŠู‡
2080
+
2081
+ 521
2082
+ 00:42:44,080 --> 00:42:51,120
2083
+ ู…ุดูƒู„ุฉ okay ุจูŠุธู‡ุฑ ู„ู†ุง ู…ุดูƒู„ุฉ ูƒุจูŠุฑุฉ ู…ู† ูˆุฑุง ุนุฏู… ูู‡ู…ู†ุง
2084
+
2085
+ 522
2086
+ 00:42:51,120 --> 00:42:55,760
2087
+ ู„ู„ implication ู‡ุฐู‡ ุงู„ุดูŠุก ุงู„ู„ูŠ ู‡ูŠ ุงู„ fallacy
2088
+
2089
+ 523
2090
+ 00:42:55,760 --> 00:43:01,480
2091
+ ุงู„ู…ุบุงู„ุทุฉ ุงูˆ ุงู„ fallacies ุงู„ู…ุบู„ุทุงุช ุงุญูŠุงู†ุง ุงู„ู…ุบู„ุทุงุช
2092
+
2093
+ 524
2094
+ 00:43:01,480 --> 00:43:06,480
2095
+ ู‡ุฐู‡ ุงู…ุง ุจุชุตูŠุฑ ููŠ ุนู…ู„ูŠุฉ ุงู„ุชุฃูƒูŠุฏุฃูˆ ููŠ ุนู…ู„ูŠุฉ ุงู„ุฅู†ูƒุงุฑุŒ
2096
+
2097
+ 525
2098
+ 00:43:06,480 --> 00:43:09,920
2099
+ ุงุญู†ุง ุฃุฎุฏู†ุงู‡ุง ู…ุฑุชูŠู† ุงู„ implication ููŠ ุงู„ู€ F ุจุฐุงุช
2100
+
2101
+ 526
2102
+ 00:43:09,920 --> 00:43:14,220
2103
+ ุชูˆูŠ ุตุญุŸ ุฃุฎุฏู†ุงู‡ุง ู…ุฑุฉ ู„ู…ุง ู‚ู„ู†ุง affirming ุฅู† ูˆุงู„ู„ู‡
2104
+
2105
+ 527
2106
+ 00:43:14,220 --> 00:43:18,840
2107
+ ุจุฏู†ุง ู†ุฃูƒุฏ ููŠู‡ุง ุงู„ consequence ุงู„ู„ูŠ ู‡ูˆ ุงู„
2108
+
2109
+ 528
2110
+ 00:43:18,840 --> 00:43:23,900
2111
+ conclusion ุฃูˆ denying ู„ ุงู„ premise ู„ ุงู„ P ู„ู…ุง
2112
+
2113
+ 529
2114
+ 00:43:23,900 --> 00:43:29,620
2115
+ ู†ูู‡ู†ุง ุงู„ P ูˆู‚ู„ู†ุง ุจู†ุงุณุชู†ุชุฌ negation P ู…ู† negation Q
2116
+
2117
+ 530
2118
+ 00:43:30,320 --> 00:43:35,180
2119
+ ูƒูˆูŠุณ ูุฅุฐุง ููŠ ุนู†ุฏูŠ ูƒุงู†ูˆุง ุญุงู„ุชูŠู† ุจุณ ู‡ู„ ุงู„ุญุงู„ุชูŠู† ู‡ุฏูˆู„
2120
+
2121
+ 531
2122
+ 00:43:35,180 --> 00:43:38,320
2123
+ ูˆุงุถุญูŠู† ุฌุฏุง ู„ุฃ ู…ู…ูƒู† ู†ุตููŠู‡ู… ู…ุบู„ุทุงุช ุฃุญูŠุงู†ุง ู…ู† ูˆุฑุง
2124
+
2125
+ 532
2126
+ 00:43:38,320 --> 00:43:43,580
2127
+ ุญุงู„ุชูŠู† ู‡ู†ุชูƒู„ู… ุนู†ู‡ู… ู…ู…ูƒู† ุฌุฏุง ุงู„ูู„ุณ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ
2128
+
2129
+ 533
2130
+ 00:43:43,580 --> 00:43:47,900
2131
+ ู„ู„ affirming ุฃู†ูŠ ุฃุคูƒุฏ ุงู„ conclusion ุจูŠู†ู…ุง ู‡ูˆ ู…ุด
2132
+
2133
+ 534
2134
+ 00:43:47,900 --> 00:43:51,360
2135
+ ุจุงู„ุถุฑูˆุฑูŠ ูŠูƒูˆู† ู…ุคูƒุฏ ุฒูŠ ู„ู…ุง ุฃู‚ูˆู„ ุฅุฐุง ูƒุงู† ุธู‡ุฑ ุนู†ุฏูŠ P
2136
+
2137
+ 535
2138
+ 00:43:51,360 --> 00:43:57,160
2139
+ implies Q is true ู‡ุฐุง true ุฎู„ุงุต ู…ูŠุฉ ู„ู…ูŠุฉ ูˆ Q is
2140
+
2141
+ 536
2142
+ 00:43:57,160 --> 00:44:01,800
2143
+ trueุชุฑูˆุญ ุชุฃูƒุฏ ุงู„ premise ุงู„ุชุฃูƒูŠุฏ ุจูŠุฌูŠ ุนู„ู‰ ุงู„
2144
+
2145
+ 537
2146
+ 00:44:01,800 --> 00:44:06,620
2147
+ conclusion ู…ุด ุนู„ู‰ ุงู„ premise ุชูˆูŠ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ
2148
+
2149
+ 538
2150
+ 00:44:06,620 --> 00:44:09,940
2151
+ ุฃุฎุฏู†ุงู‡ุง ุงู„ rule ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ูƒุงู†ุช ุชุฃูƒูŠุฏ ู„ู„
2152
+
2153
+ 539
2154
+ 00:44:09,940 --> 00:44:16,640
2155
+ conclusion ูˆ denying ู„ ุงู„ premiseุฎุฏูˆุง ุจุงู„ูƒูˆุง ุทูŠุจ
2156
+
2157
+ 540
2158
+ 00:44:16,640 --> 00:44:22,500
2159
+ ุจู…ุนู†ู‰ ุงู†ู‡ ู‡ู†ุง ู„ู…ุง ูŠู‚ูˆู„ ู„ูŠ P of P implication
2160
+
2161
+ 541
2162
+ 00:44:22,500 --> 00:44:26,920
2163
+ ุงูˆ employs Q is true ูˆ Q is true ู…ุงุญุฏุด ูŠุฌูŠ ูŠู‚ูˆู„
2164
+
2165
+ 542
2166
+ 00:44:26,920 --> 00:44:32,120
2167
+ ู„ูŠู‡ ู…ุนู†ุงุชู‡ P is true ุงู„ุนูƒุณ ุตุญ ุจุณ ู‡ุฐู‡ ู„ุฃ ุงุฐุง ูƒุงู†
2168
+
2169
+ 543
2170
+ 00:44:32,120 --> 00:44:36,440
2171
+ ู‡ู†ุง P is true ุจู‚ูˆู„ูƒ ุงู‡ Q is true ุงู…ุง Q is true
2172
+
2173
+ 544
2174
+ 00:44:36,440 --> 00:44:37,500
2175
+ ุดูˆููˆู„ูŠ
2176
+
2177
+ 545
2178
+ 00:44:41,910 --> 00:44:47,890
2179
+ ุงู„ู€ Q ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนู…ูˆุฏ ุงู„ุชุงู†ูŠ ูˆุงู„ุชุงู„ุชุŒ ุงู„ุงุชู†ูŠู† true
2180
+
2181
+ 546
2182
+ 00:44:47,890 --> 00:44:53,390
2183
+ true ุดูˆููˆุง ู„ูŠู‡ ุงูŠุด ู„ุงุฒู… ุชูƒูˆู† P ูŠุนู†ูŠ ุงู†ุช ุจุชุญุชู…ู„
2184
+
2185
+ 547
2186
+ 00:44:53,390 --> 00:44:56,190
2187
+ ุงู„ุญุงู„ุชูŠู†ุŒ ู„ูŠุด ุงู†ุช ุฑูˆุญ ุงุชู‚ุฑุฑุช ุงู† ู‡ูŠ ู„ุงุฒู… ุชูƒูˆู† true
2188
+
2189
+ 548
2190
+ 00:44:56,190 --> 00:45:03,950
2191
+ ุฎุทุฃ ูุงู„ affirming ู‡ุงุฏูŠ ู„ู„ conclusionู…ุด ู„ู„ premise
2192
+
2193
+ 549
2194
+ 00:45:03,950 --> 00:45:07,410
2195
+ ..ู…ุด ู„ู„ premise ุทูŠุจ ูˆ ุงู„ุนูƒุณ ุตุญูŠุญ ู„ู…ุง ู†ูŠุฌูŠ ู†ุชูƒู„ู… ุนู†
2196
+
2197
+ 550
2198
+ 00:45:07,410 --> 00:45:10,650
2199
+ ุงู„ premise ุงู„ู„ูŠ ู‡ูˆ ููŠ ุนู…ู„ูŠุฉ ุงู„ denying ุงู„ู„ูŠ ู‡ูˆ
2200
+
2201
+ 551
2202
+ 00:45:10,650 --> 00:45:15,670
2203
+ ุงู„ุงู†ูƒุงุฑ ุงูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูู„ุณูŠ ุงู† ุงู‚ูˆู„ ุงู„ู„ู‡ ุฏูŠ false ุฒูŠ
2204
+
2205
+ 552
2206
+ 00:45:15,670 --> 00:45:21,250
2207
+ ุญุงู„ุฉ ุงู† ุงู‚ูˆู„ P implies Q is true ุชู…ุงู… ุงุชูุฌู†ุง ุงู„
2208
+
2209
+ 553
2210
+ 00:45:21,250 --> 00:45:27,010
2211
+ column ุงู„ุชุงู„ุช and P is false ุงู…ุง ุงู†ุช ู‡ูŠูƒ ู‚ูˆู„ุช ูŠุง
2212
+
2213
+ 554
2214
+ 00:45:27,010 --> 00:45:31,070
2215
+ ุฏูƒุชูˆุฑ ู„ุฃ ุงุณุชู†ู‰ ุงู†ุง ู…ุงู‚ูˆู„ุชุด ู‡ูŠูƒุฃู†ุง ู‚ู„ุช ุฅุฐุง ุชู… ุฅู†ูƒุงุฑ
2216
+
2217
+ 555
2218
+ 00:45:31,070 --> 00:45:35,950
2219
+ ุงู„ conclusion ุงุณุชู†ุชุฌ ุงู†ู‡ ุงู„ premise ู…ู†ูƒุฑุฉ ุจุณ ุงู„ู„ูŠ
2220
+
2221
+ 556
2222
+ 00:45:35,950 --> 00:45:40,530
2223
+ ู‡ู†ุง ุชู… ุฅู†ูƒุงุฑ ุงู„ premise ู…ุงุชู‚ุฏุฑุด ุจู†ุงุก ุนู„ูŠู‡ุง ุฃู†ูƒุฑ ุงู„
2224
+
2225
+ 557
2226
+ 00:45:40,530 --> 00:45:44,710
2227
+ conclusion ุชุฑูˆุญ ุชู‚ูˆู„ ุงู„ Q ู…ุนู†ุงุชู‡ false ุดูˆู ุงู„ุนู…ูˆุฏูŠ
2228
+
2229
+ 558
2230
+ 00:45:44,710 --> 00:45:49,730
2231
+ ุงู„ุฃูˆู„ ูˆุงู„ุชุงู„ุช false true ุดูˆู ู„ูŠู‡ false true
2232
+
2233
+ 559
2234
+ 00:45:49,730 --> 00:45:54,230
2235
+ ุงู„ุนู…ูˆุฏูŠ ุงู„ุฃูˆู„ ูˆุงู„ุชุงู„ุช ุงู„ Q ู„ู‡ุง ุงู„ุญุงู„ุชูŠู† ูุงู†ุช ุจู†ุงุก
2236
+
2237
+ 560
2238
+ 00:45:54,230 --> 00:45:59,340
2239
+ ุนู„ูŠุด ุฑูˆุญุช ุญูƒู…ุชุฅุฐู† ู‡ุฐู‡ ู…ุบู„ุทุฉ ุจุชุตูŠุฑ ูˆ ุงู„ูˆุงุญุฏ ุจุฏุฑุด
2240
+
2241
+ 561
2242
+ 00:45:59,340 --> 00:46:05,300
2243
+ ููŠู‡ุง ุจูŠููƒุฑ ุฃู†ู‡ ู„ุฃ ู‡ูŠ ู…ู†ุทู‚ูŠ ุจูŠููƒุฑ ุฃู†ู‡ ู„ุฃ ุฃู†ุง ุตุญ ู„ูŠุด
2244
+
2245
+ 562
2246
+ 00:46:05,300 --> 00:46:09,640
2247
+ ู‡ุชู‚ูˆู„ ุบู„ุท ู„ุฃู†ู‡ ุจุชูƒูˆู† ุญุงู„ุฉ ู…ู† ุงู„ุญุงู„ุชูŠู† ู‡ุฐูˆู„ ููŠ
2248
+
2249
+ 563
2250
+ 00:46:09,640 --> 00:46:13,080
2251
+ ุงู„ุบุงู„ุจ ููŠ ุงู„ุบุงู„ุจ ู‡ุฐู‡ ู…ุนุธู… ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุจุชุตูŠุฑ ููŠู‡ุง
2252
+
2253
+ 564
2254
+ 00:46:13,080 --> 00:46:18,680
2255
+ fallacy ุฃูˆ ู…ุบู„ุทุฉ ุจุชูƒูˆู† ู…ู† ุงู„ุญุงู„ุชูŠู† ุทูŠุจ ู†ู†ู‡ูŠ ุจู…ุซุงู„
2256
+
2257
+ 565
2258
+ 00:46:21,500 --> 00:46:28,280
2259
+ ู†ู†ู‡ูŠ ุจุงู„ู…ุซุงู„ ู‡ุฐุง ูˆ ู†ุดูˆู ูˆูŠู† ุงู„ุฎู„ุต ููŠ ุงู„ู…ูˆุถูˆุน ุจุฏุง
2260
+
2261
+ 566
2262
+ 00:46:28,280 --> 00:46:33,780
2263
+ ุฃู‚ูˆู„ ุฃู† a ูˆ b ู‡ูŠ positive integers a ุชุณุงูˆูŠ b ุชู…ุงู…ุŸ
2264
+
2265
+ 567
2266
+ 00:46:33,780 --> 00:46:38,680
2267
+ ู‡ุถุฑุจ ุงู„ุฃุชู†ูŠู† ููŠ a ูƒู„ุงู‡ู…ุง ู‡ุถุฑุจูˆุง ููŠ a a ุชุฑุจูŠุน ูˆ a
2268
+
2269
+ 568
2270
+ 00:46:38,680 --> 00:46:42,640
2271
+ ููŠ b ูˆ ุจุนุฏูŠู† ูƒู„ุงู‡ู…ุง ุทุฑุญู†ุง ู…ู†ู‡ b ุชุฑุจูŠุน ุนู„ู‰ ุงู„ุทุฑููŠู†
2272
+
2273
+ 569
2274
+ 00:46:42,640 --> 00:46:46,620
2275
+ ุทุฑุญู†ุง ู…ู† ุงู„ .. ู‡ูŠ b ุชุฑุจูŠุน ูˆ b ุชุฑุจูŠุน ูƒู„ุงู‡ู…ุง ุฃุฎุฏู†ุง
2276
+
2277
+ 570
2278
+ 00:46:46,620 --> 00:46:53,610
2279
+ ู…ู†ู‡ู… common ุงู„ a ู†ุงู‚ุต bุฃุฎุฏู†ุงู‡ุง common ุทุจุนุง ู‡ู†ุง
2280
+
2281
+ 571
2282
+ 00:46:53,610 --> 00:46:59,990
2283
+ ู„ุงุญุธูˆุง ุฃู† ู‡ุฐู‡ ุทุฑุญ ู…ุฑุจุนูŠู† ูู„ู…ุง ุจู†ุงุฎุฏ ุงู„ a ู†ุงู‚ุต b
2284
+
2285
+ 572
2286
+ 00:46:59,990 --> 00:47:03,590
2287
+ ุจุชุตูŠุฑ ู…ุถุฑูˆุจุฉ ููŠ a ุฒุงุฆุฏ b ู‡ุฏูˆู„ ู„ูˆ ุถุฑุจุชู‡ู… ููŠ ุจุนุถ
2288
+
2289
+ 573
2290
+ 00:47:03,590 --> 00:47:08,130
2291
+ ู‡ูŠุฑุฌุนูˆุง ุจุงู„ุซุงู†ูŠ ุชู…ุงู… ู‡ู†ุง ู†ุงุฎุฏ ุงู„ a ู†ุงู‚ุต b ูุจุชุถู„ ุงู„
2292
+
2293
+ 574
2294
+ 00:47:08,130 --> 00:47:12,110
2295
+ b ุจุฑุง ู„ุญุงู„ู‡ุง ุจุนุฏูŠู† ุงุฎุชุตุฑ ุชู†ุชูŠู† ู‡ุฏูˆู„ ู…ุน ุจุนุถ
2296
+
2297
+ 575
2298
+ 00:47:12,110 --> 00:47:20,070
2299
+ ุงุฎุชุตุฑู†ุงู‡ู… ูˆ ุงุชูƒู…ู„ a ู†ุงู‚ุต b ุตุงุฑุช ู‡ู†ุง a ู‡ูŠ ู†ูุณู‡ุง b2A
2300
+
2301
+ 576
2302
+ 00:47:20,070 --> 00:47:26,190
2303
+ 2E ู…ูŠู† ุงู„ุฑุฌุงู„ ุงู„ู„ูŠ ุจุชุธุจุทุดุŸ ู„ูŠุด
2304
+
2305
+ 577
2306
+ 00:47:26,190 --> 00:47:32,090
2307
+ ุจุชุธุจุทุดุŸ ุชุฌุณู… ุนู„ู‰ ุตูุฑุŸ ๏ฟฝ๏ฟฝูŠุด ุจุฏูƒ ุชุฌุณู… ุนู„ู‰ ุตูุฑุŸ
2308
+
2309
+ 578
2310
+ 00:47:32,090 --> 00:47:37,070
2311
+ ุงุฎุชุตุฑุชู‡ู… ุงุฎุชุตุงุฑ ู…ุน ุจุนุถ ุงู†ุง ุจุณ ุงุฎุชุตุฑุชู‡ู… ุงุฎุชุตุงุฑ
2312
+
2313
+ 579
2314
+ 00:47:37,070 --> 00:47:41,850
2315
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูˆุงุญุฏุฉ ุนู„ู‰ ุงู„ุดู…ุงู„ ูˆุงุฎุชุตุฑุชู‡ู… ุงุญุณู†ุช
2316
+
2317
+ 580
2318
+ 00:47:41,850 --> 00:47:45,150
2319
+ ุงุญุณู†ุช ุงู„ุงุฎุชุตุงุฑ ู…ุด ู…ุนู†ุงู‡ ุฒูŠ ู…ุง ุฃู†ุง ุฌุงุนุฏ ุจู‚ูˆู„ ุงุฎุชุตุฑ
2320
+
2321
+ 581
2322
+ 00:47:45,150 --> 00:47:48,990
2323
+ ูˆ ุฎู„ุตู†ุง ุถูŠุงู†ุงู‡ู… ู…ุน ุจุนุถ ุงู„ุงุฎุชุตุงุฑ ู…ุนู†ุงู‡ ู‚ุณู…ุฉู‡ูŠ
2324
+
2325
+ 582
2326
+ 00:47:48,990 --> 00:47:52,650
2327
+ policy ูˆุงุถุญุฉ ุฌุฏุง ูˆูƒุชูŠุฑ ู…ู…ูƒู† ุชุตูŠุฑ ู…ุนุงู†ุง ู„ูŠุดุŸ ู„ุฅู†
2328
+
2329
+ 583
2330
+ 00:47:52,650 --> 00:47:57,110
2331
+ ุฃู†ุง ุจุชุฏู„ูˆูŠ ุงู„ุฅุซุจุงุช ุบุตุจ ุนู†ู‡ ุจุฏูŠ ุฃู…ุดูŠ ูุจุชุตูŠุฑ ู…ุนุงูƒู…
2332
+
2333
+ 584
2334
+ 00:47:57,110 --> 00:48:00,210
2335
+ ุฅู†ูƒ ุจุฏูƒ ุชู„ูˆูŠ ุบุตุจ ุนู†ู‡ุŒ ุจุฏูƒ ุชู…ุดูŠุŒ ุจุฏูƒ ุชุทู„ุน ุฅู† ู„ุง
2336
+
2337
+ 585
2338
+ 00:48:00,210 --> 00:48:04,450
2339
+ ูˆุตู„ุช ู„ู†ุชูŠุฌุฉุŒ ุจูŠู†ู…ุง ุฃู†ุช ุนุงุฑู ุฅู† ู‡ูŠ ู…ุด ู…ู‚ู†ุนุฉ ูˆู‚ุฏ
2340
+
2341
+ 586
2342
+ 00:48:04,450 --> 00:48:07,690
2343
+ ุชูƒูˆู† ู…ุด ุนุงุฑูุŒ ูŠุนู†ูŠ ุฃู†ุง ู…ุซู„ุง ู‡ู†ุง ู‚ุงุนุฏุฉ ู‚ุฏุงู…ูƒ ูˆุทู„ุนุช
2344
+
2345
+ 587
2346
+ 00:48:07,690 --> 00:48:12,720
2347
+ ู…ุด ุนุงุฑูุฑูˆุญุช ุงูŠุด ุณูˆูŠุช ุงุฎุชุตุฑุชู‡ู… ู…ุน ุจุนุถ ู„ุฃ ููŠุด ุญุงุฌุฉ
2348
+
2349
+ 588
2350
+ 00:48:12,720 --> 00:48:17,020
2351
+ ุงุณู…ู‡ุง ุงุฎุชุตุฑุชู‡ู… ู…ุน ุจุนุถ ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง ู‚ุณู…ุช ูƒู„ ูƒู„ุง
2352
+
2353
+ 589
2354
+ 00:48:17,020 --> 00:48:20,700
2355
+ ุงู„ุทุฑููŠู† ุนู„ู‰ ู†ูุณ ุงู„ term ู…ุงููŠุด ุญุงุฌุฉ ุงู‚ูˆู„ ุงุฎุชุตุฑ ู…ุน
2356
+
2357
+ 590
2358
+ 00:48:20,700 --> 00:48:24,020
2359
+ ุจุนุถ ู…ุงููŠุด ุญุงุฌุฉ ู‡ูŠูƒ ุงุณู…ู‡ุง ููŠ ุงู† ู‡ุฐู‡ ู„ุญุงู„ู‡ุง ุงู†ุง ุฑูˆุญุช
2360
+
2361
+ 591
2362
+ 00:48:24,020 --> 00:48:27,080
2363
+ ู‚ุณู…ุชู‡ุง ุนู„ู‰ a ู†ุงู‚ุต ูˆุงุญุฏ ูˆุงู†ุง ู…ู† ุงู„ุฃูˆู„ ู‚ุงุนุฏ ุจู‚ูˆู„ a
2364
+
2365
+ 592
2366
+ 00:48:27,080 --> 00:48:33,640
2367
+ ุชุณุงูˆูŠ b ูุฅุฐุง ู‚ุณู…ุช ุนู„ู‰ term ู†ุงู‚ุต ู†ูุณู‡ ูŠุนู†ูŠ ุตุงุฑ
2368
+
2369
+ 593
2370
+ 00:48:33,640 --> 00:48:36,120
2371
+ ูƒุฃู†ู†ูŠ ุจู‚ุณู… ุนู„ู‰ ุตูุฑ undefined
2372
+
2373
+ 594
2374
+ 00:48:37,960 --> 00:48:42,480
2375
+ ุฅู† ู‡ุงุชุด ู‡ูŠุทู„ุน Undefined ุบูŠุฑ ู…ุนุฑู ู…ุนู†ุง ุฐู„ูƒ ุฅู†ู‡ ุงู„ู„ูŠ
2376
+
2377
+ 595
2378
+ 00:48:42,480 --> 00:48:47,020
2379
+ ุทู„ุน ููŠ ุงู„ุขุฎุฑ Undefined ูŠุณูˆู‰ Undefined ูˆู„ูŠุณ ุฒูŠ ู…ุง
2380
+
2381
+ 596
2382
+ 00:48:47,020 --> 00:48:53,720
2383
+ ุฃู†ุง ู‚ู„ุช ู‡ูŠูƒ A ุฒุงุฆุฏ B ุชุณูˆู‰ B ู‡ุงุฏ Undefinedุชู…ุงู…
2384
+
2385
+ 597
2386
+ 00:48:53,720 --> 00:48:58,120
2387
+ ูˆุงุถุญุชุŸ ุงู„ูƒู„ ูˆุงุถุญุช ู…ุนุงู‡ุŸ ู…ุงุชูŠุฌูŠุด ุชู‚ุชุตุฑ ู„ุงุฎุชุตุงุฑุงุชุŸ
2388
+
2389
+ 598
2390
+ 00:48:58,120 --> 00:49:03,160
2391
+ ุงู„ุงุฎุชุตุงุฑุงุช ุฏูŠ ู‡ูŠ ุฒูŠ ู…ุง ุงู‚ูˆู„ู‡ ุงุญู†ุง ุจู†ุนู…ู„ ุงุฎุชุตุงุฑ
2392
+
2393
+ 599
2394
+ 00:49:03,160 --> 00:49:07,460
2395
+ ู„ู„ุนู…ู„ูŠุฉ .. ู„ุนู…ู„ูŠุฉ ู‚ุณู…ุฉ .. ู„ุนู…ู„ูŠุฉ ู‚ุณู…ุฉ ูŠู„ุง ูŠุนุทูŠูƒ
2396
+
2397
+ 600
2398
+ 00:49:07,460 --> 00:49:08,500
2399
+ ุงู„ู„ู‡ ุนูุง ุดุจุงุจ ุฎู„ุตู†ุง ู‡ูŠ
2400
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/jCXELgNR1NU.srt ADDED
@@ -0,0 +1,1649 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:09,090
3
+ ุทูŠุจ ุงู„ุณู„ุงู… ุนู„ูŠูƒู…ุŒ ู‡ุนุทูŠูƒูˆุง ุนููˆ ูŠุง ุดุจุงุจุŒ ุฎู„ุตู†ุง ูŠู…ูƒู†
4
+
5
+ 2
6
+ 00:00:09,090 --> 00:00:12,810
7
+ ุงุญู†ุง ุงู„ู€ functions ูˆุจุนุฏู‡ุง ุงู„ู€ sequence ูˆุงู„ู€
8
+
9
+ 3
10
+ 00:00:12,810 --> 00:00:16,810
11
+ summation ูƒุงู† ุฏุงูŠู„ุฉ ุงู„ู„ูŠ ูŠู…ูƒู† ุฌุฒุฆูŠุฉ ูƒุชูŠุฑ ุตุบูŠุฑุฉ
12
+
13
+ 4
14
+ 00:00:16,810 --> 00:00:20,890
15
+ ุฏุงูŠู„ุฉ ููŠ ุงู„ุณูŠุงู‚ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุชูƒู„ู…ู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
16
+
17
+ 5
18
+ 00:00:20,890 --> 00:00:26,590
19
+ matrices ูˆุจุงุนุชุจุงุฑ ุฃู† ุงู„ู€ matrices ูŠุนู†ูŠ ู…ุด ูƒุชูŠุฑุฃุดูŠ
20
+
21
+ 6
22
+ 00:00:26,590 --> 00:00:29,870
23
+ ุฌุฏูŠุฏ ุจุงู„ู†ุณุจุงู„ูƒู…ุŒ ูู‡ู†ุฃุฌู„ู‡ ู„ู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡
24
+
25
+ 7
26
+ 00:00:29,870 --> 00:00:33,510
27
+ ู†ุญุงูˆู„ ู†ุนุฏูŠ ุนู„ูŠู‡ ุจุณุฑุนุฉุŒ ู…ุนุธู…ู‡ุง ู†ูุณ ุงู„ู€ matrices ุฃูˆ
28
+
29
+ 8
30
+ 00:00:33,510 --> 00:00:36,610
31
+ ุงู„ู…ุตููˆูุงุช ุงู„ู„ูŠ ุฃู†ุชูˆ ุฃุฎุฏุชูˆู‡ุง ุณุงุจู‚ุง ูƒู…ุนู„ูˆู…ุงุช ุนู†
32
+
33
+ 9
34
+ 00:00:36,610 --> 00:00:40,090
35
+ ุงู„ู…ุตููˆูุงุชุŒ ูู†ุฎู„ูŠู‡ุง ู„ู„ุฃุณุจูˆุน ุงู„ุฌุงูŠ ุจุญูŠุซ ุฅู†ู‡ ู‚ุจู„ ู…ุง
36
+
37
+ 10
38
+ 00:00:40,090 --> 00:00:43,910
39
+ ู†ู†ุณู‰ ุฌุฒุก ุงู„ู„ูŠ ุนุฏู‰ ุนู„ูŠู†ุงุŒ ุจุนุถ ุงู„ุฃุฌุฒุงุก ุงู„ู„ูŠ ุนุฏุช ุนู„ูŠู†ุง
40
+
41
+ 11
42
+ 00:00:43,910 --> 00:00:46,710
43
+ ุฎู„ูŠู†ุง ู†ุงุฎุฏูˆุง ู†ู…ูˆุฐุฌ ู…ู† ุณุคุงู„ุŒ ุนู„ูŠู‡ู… ู…ู† ุฃุณุฆู„ุฉ
44
+
45
+ 12
46
+ 00:00:46,710 --> 00:00:51,740
47
+ ุงู„ุงู…ุชุญุงู†ุงุช ุงู„ุณุงุจู‚ุฉุŒ ุฎู„ูŠู†ุง ู†ุดูˆู ูƒูŠู ุชูŠุฌูŠ ุนู„ูŠู‡ู… ุงู„ุฃุณุฆู„ุฉ
48
+
49
+ 13
50
+ 00:00:51,740 --> 00:00:54,300
51
+ ู‚ุจู„ ู…ุง ู†ูƒูˆู† ุฃู†ุณูŠู†ุงู‡ู…ุŒ ูˆุฃุฌู„ู†ุงู‡ู… ู„ุณู‡ ู„ู„ุฃุณุจูˆุน ุงู„ู„ูŠ
52
+
53
+ 14
54
+ 00:00:54,300 --> 00:00:58,460
55
+ ุฌุงูŠุŒ ูุจู†ุญุท ุงู„ู€ matrices ู„ู„ุฃุณุจูˆุน ุงู„ู‚ุงุฏู… ุฅู† ุดุงุก ุงู„ู„ู‡
56
+
57
+ 15
58
+ 00:00:58,460 --> 00:01:03,520
59
+ ุชุนุงู„ูˆุงุŒ ู…ุง ุฃุนุชู‚ุฏุด ุฅู†ู‡ ู‡ูŠูƒูˆู† ุตุนุจ ุนู„ูŠูƒู…ุŒ ูŠุนู†ูŠ ููƒุชูŠุฑ ูƒูˆูŠุณ
60
+
61
+ 16
62
+ 00:01:03,520 --> 00:01:07,480
63
+ ุฅู†ู‡ ุจุฑุถู‡ ู„ูˆ ุทู„ุนุชูˆุง ุนู„ู‰ ุงู„ู…ุญุงุถุฑุฉ ุจุชุงุนุช ุงู„ู…ุตููˆูุงุช
64
+
65
+ 17
66
+ 00:01:07,770 --> 00:01:12,230
67
+ ุงู„ุณุงุจู‚ุฉุŒ ุนุดุงู† ุชูƒูˆู†ูˆุง ู‡ุชู„ุงู‚ูˆุง ุฅู† ู…ุงููŠุด ููŠู‡ุง ุดูŠุก ุฌุฏูŠุฏ
68
+
69
+ 18
70
+ 00:01:12,230 --> 00:01:17,270
71
+ ูŠุนู†ูŠ ุฃุตู„ุงุŒ ูุฎู„ูŠู†ุง ู†ุจุฏุฃ ุงู„ูŠูˆู… ููŠ ุจุนุถ ุงู„ุฃุณุฆู„ุฉ ุฃูˆ ุจุนุถ
72
+
73
+ 19
74
+ 00:01:17,270 --> 00:01:20,630
75
+ ู…ุณุงุฆู„ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ problems ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู…ุชุญุงู†ุงุช
76
+
77
+ 20
78
+ 00:01:20,630 --> 00:01:24,840
79
+ ุณุงุจู‚ุฉุŒ ุนู† ุงู„ุฃุฌุฒุงุก ู…ู† ุงู„ู…ูˆุงุถูŠุน ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ุณุงุจู‚ุงุŒ
80
+
81
+ 21
82
+ 00:01:24,840 --> 00:01:29,040
83
+ ูˆู†ุดูˆูู‡ู…ุŒ ู‡ู„ ุงู„ู€ issues ุตุนุจุฉ ูุนู„ุงุŸ ู‡ู„ ุงู„ุงู…ุชุญุงู†ุงุช ูƒุงู†ุช
84
+
85
+ 22
86
+ 00:01:29,040 --> 00:01:31,740
87
+ ุตุนุจุฉ ูƒุชูŠุฑ ูŠุนู†ูŠ ู„ู‡ุฐู‡ ุงู„ุฏุฑุฌุฉุŸ ู‡ู„ ูุนู„ุง ููŠู‡ุง ู…ุดูƒู„ุฉุŸ
88
+
89
+ 23
90
+ 00:01:31,740 --> 00:01:34,380
91
+ ู…ุง ูƒุงู†ุด ููŠู‡ ู…ุดูƒู„ุฉุŸ ูˆู„ูˆ ููŠู‡ ู…ุดูƒู„ุฉ ุชุนุฑููˆุง ูˆุงู„ู„ู‡ ูƒูŠู
92
+
93
+ 24
94
+ 00:01:34,380 --> 00:01:39,500
95
+ ุชุญู„ูˆุง ู‡ุงู„ู…ุดูƒู„ุฉุŒ ูู†ุดูˆู ู‡ุงูŠ ู…ุซู„ุง ูˆุงุญุฏ ู…ู† ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ
96
+
97
+ 25
98
+ 00:01:39,500 --> 00:01:43,880
99
+ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ู€ setsุŒ ุนู„ู‰ ุงู„ู€ setsุŒ ูˆูˆุงุถุญ ุฅู†ู‡
100
+
101
+ 26
102
+ 00:01:43,880 --> 00:01:48,700
103
+ ู…ุทู„ูˆุจ ุฅูŠุด ุจุฏู‡ ู…ู†ู‡ุงุŸ ุจุฏู‡ ู…ู†ู‡ุง ุฅุซุจุงุช ุฃู† ุงู„ู€ two terms
104
+
105
+ 27
106
+ 00:01:48,700 --> 00:01:53,370
107
+ ู‡ุฐูˆู„ ู…ุชุณุงูˆูŠูŠู† ุฃูˆ equivalent ู„ุจุนุถุŒ ุจูŠุณุงูˆูˆุง ุจุนุถ ุฃูˆ
108
+
109
+ 28
110
+ 00:01:53,370 --> 00:01:56,790
111
+ equivalent ู„ุจุนุถุŒ ุญุฏุฏ ุฅู†ู‘ู‡ุง ุจุฏู‡ ุจุงู„ู€ set builder
112
+
113
+ 29
114
+ 00:01:56,790 --> 00:02:00,210
115
+ notationุŒ ุจุงู„ู€ set builder notationุŒ ุฅุฐุง ูƒู†ุช
116
+
117
+ 30
118
+ 00:02:00,210 --> 00:02:04,490
119
+ ู…ุชุฐูƒุฑูŠู†ุŒ ุงุญู†ุง ุฃุฎุฏู†ุง ุนุฏุฉ ุทุฑู‚ุŒ ุตุญูŠุญุŒ ุฃุฎุฏู†ุง ุจุงู„ู€ mutual
120
+
121
+ 31
122
+ 00:02:04,490 --> 00:02:09,050
123
+ subsetุŒ ู…ุชุฐูƒุฑูŠู†ู‡ุงุŸ ุจุฏูŠ ุฃูุชุฑุถ ูƒู„ ูˆุงุญุฏุฉ ู‡ูŠ subset ู…ู†
124
+
125
+ 32
126
+ 00:02:09,050 --> 00:02:11,750
127
+ ุงู„ุชุงู†ูŠุฉ ูˆู„ุง ู„ุฃุŸ ูˆุฅุฐุง ุฃุซุจุชู†ุง ุฅู† ูƒู„ ูˆุงุญุฏุฉ ู…ู†ู‡ู…
128
+
129
+ 33
130
+ 00:02:11,750 --> 00:02:15,270
131
+ subset ู…ู† ุงู„ุชุงู†ูŠุฉุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ุฅู†ู‡ู… equivalent ู„ุจุนุถ
132
+
133
+ 34
134
+ 00:02:15,270 --> 00:02:18,450
135
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ูƒุงู†ุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ set builder
136
+
137
+ 35
138
+ 00:02:18,450 --> 00:02:21,170
139
+ notationุŒ ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ุงุŒ ุงู„ุฑู…ูˆุฒ ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู… ููŠู‡ุง
140
+
141
+ 36
142
+ 00:02:21,170 --> 00:02:23,790
143
+ ู…ุฌู…ูˆุนุฉ ุงู„ู€ rules ุงู„ู„ูŠ ุงุญู†ุง ุฃุฎุฏู†ุงู‡ู… ูˆุงู„ู„ูŠ ูƒุงู†ูˆุง
144
+
145
+ 37
146
+ 00:02:23,790 --> 00:02:28,930
147
+ ุชู…ุซู„ ููŠู‡ุง... ุจู†ู…ุซู„ ููŠู‡ุง ุงู„ู€ intersection ุจุงู„ู€ and ูˆุงู„ู€
148
+
149
+ 38
150
+ 00:02:28,930 --> 00:02:34,310
151
+ union ุจุงู„ู€ orุŒ ู…ุชุฐูƒุฑูŠู† ุงู„ูƒู„ุงู… ู‡ุฐุงุŸ ุชู…ุงู…ุŒ ูˆุงู„ู€...ุงู„ู€
152
+
153
+ 39
154
+ 00:02:34,310 --> 00:02:38,650
155
+ complement ุจุงู„ู€ negation ูู‚ุทุŒ ูˆุจู†ุณุชุฎุฏู… ูƒู†ุง ู…ุฌู…ูˆุนุฉ
156
+
157
+ 40
158
+ 00:02:38,650 --> 00:02:41,150
159
+ ุงู„ู€ rules ุงู„ู„ูŠ ู…ุชุนุฑู ุนู„ูŠู‡ุง ููŠ ุงู„ู€ logic ุฃูˆ ููŠ ุงู„ู€
160
+
161
+ 41
162
+ 00:02:41,150 --> 00:02:44,470
163
+ setsุŒ ูˆ ุจุชู…ุดูŠ ุงู„ุฃู…ูˆุฑ ุชู…ุงู…ุŒ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ูƒุงู†ุช ุงู„ู†ูˆุน
164
+
165
+ 42
166
+ 00:02:44,470 --> 00:02:47,010
167
+ ุงู„ุชุงู†ูŠุŒ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ูƒุงู†ุช ุงู„ู€ membership tables
168
+
169
+ 43
170
+ 00:02:47,010 --> 00:02:51,570
171
+ ู…ุชุฐูƒุฑูŠู†ู‡ุงุŸ ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ ุงู„ู€ truth table ุจุงู„ุธุจุทุŒ ุจุณ
172
+
173
+ 44
174
+ 00:02:51,570 --> 00:02:54,930
175
+ membership ุงู„ู„ูŠ ู‡ูŠ ูŠู†ุชู…ูŠ ุฃูˆ ู„ุง ูŠู†ุชู…ูŠุŒ ูู„ู„ุฃุณุฆู„ุฉ
176
+
177
+ 45
178
+ 00:02:54,930 --> 00:02:59,050
179
+ ู‡ู†ุงุŒ ู…ุญุฏุฏ ู„ู†ุง ุชุญุฏูŠุฏุง ู…ู† ุฎู„ุงู„ ู…ุนุฑูุชูƒู… ููŠ ุงู„ู€ sets
180
+
181
+ 46
182
+ 00:02:59,050 --> 00:03:02,170
183
+ ุฃุซุจุช ู„ู†ุง ุงู„ู€ two terms ู‡ุฐูˆู„ equivalent ู„ุจุนุถ
184
+
185
+ 47
186
+ 00:03:02,170 --> 00:03:06,470
187
+ ุจุงุณุชุฎุฏุงู…ู‡ุŒ ู…ุญุฏุฏ ู„ู†ุง ุชุญุฏูŠุฏุง ุฅูŠุด ุงู„ุงุณุชุฎุฏุงู… ุงู„ู…ุทู„ูˆุจ ู„ุฃู†
188
+
189
+ 48
190
+ 00:03:06,470 --> 00:03:09,310
191
+ ุงู„ุฃู…ูˆุฑ ุจุณูŠุทุฉุŒ ู…ุงููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉุŒ ูƒู„ ุงู„ู„ูŠ ุจู†ุนู…ู„ู‡ ุจุณ
192
+
193
+ 49
194
+ 00:03:09,310 --> 00:03:13,640
195
+ ุจู†ู…ุณูƒ ุทุฑู ู…ู† ุงู„ุฃุทุฑุงูุŒ ุงู„ุทุฑู ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ู‡ู†ุง
196
+
197
+ 50
198
+ 00:03:13,640 --> 00:03:18,020
199
+ ุงู„ุทุฑู ุงู„ุดู…ุงู„ุŒ ุนุดุงู† ู†ุญุทู‡ ุจุตูŠุบุฉ ุงู„ู€ builder notation
200
+
201
+ 51
202
+ 00:03:18,020 --> 00:03:24,320
203
+ ู‡ู†ู‚ูˆู„ ุฅู† ุงู„ู€ term ู‡ูˆ ุนุจุงุฑุฉ ุนู† setุŒ ู‡ูˆ ุงุญู†ุง ุฃุตู„ุง
204
+
205
+ 52
206
+ 00:03:24,320 --> 00:03:30,640
207
+ ูƒู„ ูƒู„ุงู…ู†ุง ุนู† setุŒ ุฃุตู„ุง set of x ุจุญูŠุซ ุฅู†ู‡ xุŒ ูˆุจู†ูƒุชุจ
208
+
209
+ 53
210
+ 00:03:30,640 --> 00:03:34,540
211
+ ุชู†ุชู…ูŠุŒ ูˆุจู†ูƒุชุจ ูƒู„ ุงู„ูƒู„ุงู… ู‡ุฐุง ุจุนุฏ ู…ุง ู†ูƒูˆู† ุญูˆู„ู†ุง ุฒูŠ
212
+
213
+ 54
214
+ 00:03:34,540 --> 00:03:39,100
215
+ ู…ุง ู‚ู„ู†ุง ุงู„ู€ complement ู„ู€ negationุŒ ุงู„ู€...ุงู„ู€
216
+
217
+ 55
218
+ 00:03:39,100 --> 00:03:43,880
219
+ intersection ู„ู€ andุŒ ูˆุงู„ู€ union ู„ู€ orุŒ ุจุณ ู‡ูŠ ูƒู„ ุงู„ู„ูŠ
220
+
221
+ 56
222
+ 00:03:43,880 --> 00:03:48,300
223
+ ู‡ู†ุนู…ู„ู‡ุŒ ุจุนุฏ ู‡ูŠูƒ ู†ุชุนุงู…ู„ ู…ุนุงู‡ุง ุจุงุณุชุฎุฏุงู… ุงู„ู‚ูˆุงู†ูŠู†
224
+
225
+ 57
226
+ 00:03:48,300 --> 00:03:53,800
227
+ ุงู„ู…ุนุฑูˆูุฉ ุงู„ู„ูŠ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒู…ุŒ ุงู„ุขู† ุฃูˆู„ ุดุบู„ุฉ ูˆุงุถุญุฉ
228
+
229
+ 58
230
+ 00:03:53,800 --> 00:04:01,660
231
+ ุฌุฏุง ู‡ู†ุง ุฅู† ููŠ ุนู†ุฏูƒ and ูˆ orุŒ ูˆููŠ ู‚ูˆุณุŒ ุฅูŠุด ุจุฏูƒ ุชุณูˆูŠุŸ
232
+
233
+ 59
234
+ 00:04:01,660 --> 00:04:05,600
235
+ distributionุŒ distributive ruleุŒ ุฎู„ุงุต ู‡ุงูŠ
236
+
237
+ 60
238
+ 00:04:05,600 --> 00:04:09,860
239
+ distributive ruleุŒ ูˆุฒุน ุงู„ู€ negation ุฅูŠู‡ุŸ ูˆุฒุนู†ุง
240
+
241
+ 61
242
+ 00:04:09,860 --> 00:04:13,870
243
+ negation ุฅูŠู‡ุŸ ู…ุงููŠุด ููŠู‡ุง ุฅูŠุด ู†ู‡ุงุฆูŠุŒ ุงู„ุณุคุงู„ ุทู„ุน ูุงุถูŠ
244
+
245
+ 62
246
+ 00:04:13,870 --> 00:04:16,210
247
+ ุงู„ูˆุงุฌู‡ุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ุงุŒ ุงู„ูˆุงุฌู‡ุฉ ุฅู†ู‡ ุฎู„ุงุต ูุถู‰ ุงู„ุณุคุงู„
248
+
249
+ 63
250
+ 00:04:16,210 --> 00:04:20,750
251
+ ุงู„ุณุคุงู„ ูุถู‰ุŒ ูุชุฎูŠู„ ุฅู† ุงู„ุณุคุงู„ ุฒูŠ ู‡ุฐุง ูŠูƒูˆู† ู†ุต ุงู„ุทู„ุงุจ
252
+
253
+ 64
254
+ 00:04:20,750 --> 00:04:24,410
255
+ ู…ุด ุนุงุฑููŠู† ูŠุญู„ูˆู‡ุŒ ู‡ู„ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ุณุคุงู„ุŸ ู‡ุงูŠ ู‚ุฏุงู…ูƒ
256
+
257
+ 65
258
+ 00:04:24,410 --> 00:04:28,290
259
+ ุงู„ุณุคุงู„ุŒ ู„ุงุญุธุชูˆุง ูƒูŠู ุฎู„ุตู†ุง ุงู„ุณุคุงู„ุŸ ุจุชุงู„ูŠ ู‡ู†ุง ุงู†ุชู‡ู‰
260
+
261
+ 66
262
+ 00:04:28,290 --> 00:04:30,810
263
+ ุงู†ุชู‡ู‰ุŒ ูŠุนู†ูŠ ุญุชู‰ ู„ูˆ ู‚ู„ุช ู„ูƒู… ุฎู„ูŠู†ุง ู†ุดูˆู ุงู„ุณุคุงู„ ุงู„ู„ูŠ
264
+
265
+ 67
266
+ 00:04:30,810 --> 00:04:34,350
267
+ ุจุนุฏู‡ุŒ ู…ุด ู‡ูŠูƒูˆู† ุบุฑูŠุจ ุฅู† ุฃู†ุชู… ู‡ุชุฌูŠุจูˆุง ููŠู‡ุŒ ุฎู„ุตุช
268
+
269
+ 68
270
+ 00:04:34,350 --> 00:04:37,170
271
+ ู„ุฃู†ู‡ ู…ุด ุจุงู‚ูŠ ููŠู‡ ุดูŠุกุŒ ูƒู„ ุงู„ู„ูŠ ุฃู†ุชู… ุนุงุฑููŠู†ู‡ ุฅู†ู‡ ู‡ุฐูŠ
272
+
273
+ 69
274
+ 00:04:37,170 --> 00:04:45,100
275
+ false ูˆ false ุฃูˆ ุฃูŠ ุดูŠุก...ุฃูŠ ุดูŠุกุŒ ุฎู„ุตู†ุงู‡ุงุŒ ูู„ุงุญุธูˆุง
276
+
277
+ 70
278
+ 00:04:45,100 --> 00:04:48,860
279
+ ุฃู† ุฃูŠ ุดูŠุก ู‡ุฐุง ุจุตูˆุฑุฉ ุฃูˆ ุจุฃุฎุฑู‰ ู‡ูˆ ูุนู„ุง ู†ูุณ ุงู„ู€ term
280
+
281
+ 71
282
+ 00:04:48,860 --> 00:04:53,200
283
+ ู‡ุฐุง ู„ุง ูŠู†ุชู…ูŠ ูˆูŠู†ุชู…ูŠุŒ ูŠุนู†ูŠ ู…ูˆุฌูˆุฏ ููŠ B ูˆู„ุง ูŠูˆุฌุฏ
284
+
285
+ 72
286
+ 00:04:53,200 --> 00:04:58,000
287
+ ููŠ AุŒ ุจุณ ุจุฏู‡ุง ุชุฑุชูŠุจุŒ ุฑุชุจู‡ุงุŒ ุงุนู…ู„ ู„ูŠ ุงู„ุชุฑุชูŠุจ ู…ุด ุฃูƒุซุฑ
288
+
289
+ 73
290
+ 00:04:58,000 --> 00:05:05,800
291
+ ู…ู† ู‡ูŠูƒ ุทูŠุจุŒ ูุตุงุฑุช ูŠู†ุชู…ูŠ ู„ู€ B ูˆู„ุง ูŠู†ุชู…ูŠ ู„ู€ A ุชู…ุงู…ุง
292
+
293
+ 74
294
+ 00:05:05,800 --> 00:05:08,320
295
+ ู‡ุฐุง ู…ุนู†ุงู‡ ุฅู†ู‡
296
+
297
+ 75
298
+ 00:05:13,430 --> 00:05:18,550
299
+ ุณุคุงู„ ู…ุด ุนุงุฑู ูŠู…ูƒู†...ุฃู†ุง ุฃุนุชู‚ุฏ ุฅู†ู‡ ุจุณูŠุทุŒ ุฃุนุชู‚ุฏ ุฅู†ู‡
300
+
301
+ 76
302
+ 00:05:18,550 --> 00:05:23,250
303
+ ูƒุชูŠุฑ ุจุณูŠุท ูƒู€...ูƒู€...ูƒุณุคุงู„ ุงู…ุชุญุงู† ุฃุตู„ุงุŒ ูƒูŠูุŸ
304
+
305
+ 77
306
+ 00:05:27,810 --> 00:05:31,290
307
+ ู„ุฃุŒ ู‡ูŠู†ุฒู„...ู‡ูŠู†ุฒู„ ุนู†ุฏูƒู…ุŒ ุจุณ ุงุญู†ุง ู‚ู„ู†ุง ุงู„ู…ุญู„ูˆู„ุฉ ู‡ุฐู‡
308
+
309
+ 78
310
+ 00:05:31,290 --> 00:05:36,070
311
+ ู‡ุชู†ุฒู„ ุจุนุฏ ู…ุง ู†ุฎู„ุต...ู…ุง ู†ุญู„ู‡ุง ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ุŒ ู†ุฒู„ู‡ุง
312
+
313
+ 79
314
+ 00:05:36,070 --> 00:05:39,490
315
+ ู…ู† ุงู„ุฃูˆู„ุŒ ู„ูŠุด ู†ู‚ุนุฏ ู†ุญู„ู‡ุงุŸ ู…ุง ุฃู†ุชู… ู‡ุชู‚ุฑูˆู‡ุง ู„ุญุงู„ูƒู… ูŠุนู†ูŠ
316
+
317
+ 80
318
+ 00:05:39,490 --> 00:05:43,630
319
+ ูƒุฃู†ูƒ ุฃุนุทูŠุช...ุฃุนุทูŠุชูƒ ุงู„ู€ mood of answer ูˆุฎู„ุตู†ุงุŒ ุทูŠุจ
320
+
321
+ 81
322
+ 00:05:43,630 --> 00:05:47,490
323
+ ู‡ุงูŠ ุงู„ูุฑุน ุงู„ุซุงู†ูŠ ูƒุงู† ู…ู† ู†ูุณ ุงู„ุณุคุงู„ุŒ ูˆุงู„ู„ูŠ ูƒุงู† ุจู†ุงุก
324
+
325
+ 82
326
+ 00:05:47,490 --> 00:05:53,630
327
+ ุนู„ู‰ our knowledge about setsุŒ ูƒุงู† ุจูƒู„ ุจุณุงุทุฉ ู…ุนุทูŠู†ูŠ
328
+
329
+ 83
330
+ 00:05:53,630 --> 00:06:02,370
331
+ ุฅูŠุด ู‡ูŠุŸ Cartesian product ุจู€ AุŒ ุฅูŠู‡ุŸ Cartesian
332
+
333
+ 84
334
+ 00:06:02,370 --> 00:06:07,220
335
+ product ุจู€ AุŒ ู‡ุฐู‡ ู…ู† ุฃูˆู„ ุงู„ุณุคุงู„ุŒ ุฅุฐุง ุฃู†ุช ูู‡ู…ุชู‡ุง ุตุญุŒ
336
+
337
+ 85
338
+ 00:06:07,220 --> 00:06:10,660
339
+ ู†ุญู„ ุงู„ุณุคุงู„ุŒ ู…ุด ูู‡ู…ุชู‡ุง ุตุญุŒ ู…ุด ู‡ุช๏ฟฝ๏ฟฝู„ุŒ ู…ุด ู‡ุชูˆุตู„ ู…ุนุงูƒ
340
+
341
+ 86
342
+ 00:06:10,660 --> 00:06:14,300
343
+ ู„ุนู…ู„ู‡ุงุŒ ู„ูŠุดุŸ ู„ุฃู† ุฃู†ุช ุจุฏุฃุช ุชูƒูˆู† ุนุงุฑู ุฅู† ุงู„ู€ set ุงู„ู„ูŠ
344
+
345
+ 87
346
+ 00:06:14,300 --> 00:06:18,380
347
+ ู…ุนุทูŠูƒูŠ ุฅูŠุงู‡ุง ู‡ูŠ ุงู„ู€ Cartesian product ู„ู€ A ูˆ BุŒ ุทูŠุจุŒ ุฅูŠุด
348
+
349
+ 88
350
+ 00:06:18,380 --> 00:06:21,020
351
+ ูŠุนู†ูŠ ุงู„ู€ Cartesian product ู„ู€ A ูˆ BุŸ ู…ุนู†ุงุชู‡ ู‡ูŠ
352
+
353
+ 89
354
+ 00:06:21,020 --> 00:06:24,800
355
+ ุนุจุงุฑุฉ ุนู† pairsุŒ ุงู„ู€ pairs ู‡ุฐู‡ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ู…ู† ุงู„ู€...
356
+
357
+ 90
358
+ 00:06:24,800 --> 00:06:27,700
359
+ ู…ู† ุงู„ู€ set ุงู„ุฃูˆู„ู‰ุŒ ูˆุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ู…ู† ุงู„ู€ set ุงู„ุชุงู†ูŠุฉ
360
+
361
+ 91
362
+ 00:06:28,810 --> 00:06:32,450
363
+ ุจุณ A ูˆ BุŒ ุจุชู‚ุฏุฑ ุชุฌูŠุจ ุงู„ู€ two in two ุจุณู‡ูˆู„ุฉ
364
+
365
+ 92
366
+ 00:06:32,450 --> 00:06:35,810
367
+ ู…ุง ุนู†ุฏูƒุด ุฃูŠ ู…ุดูƒู„ุฉุŒ ุฃู…ุง ุฃู†ุช ุฅุฐุง ูƒุงู† ุฃู†ุช ุจุฏูƒ ุชุฑูˆุญ ุชูƒู…ู„
368
+
369
+ 93
370
+ 00:06:35,810 --> 00:06:40,190
371
+ ุงู„ุณุคุงู„ุŒ fine ู„ู€ BุŒ ุฎู„ุงุต ุฌูŠุจ ู„ู€ B ุชู…ุงู…ุŒ ูˆุตู„ุช ุงู„ุฃู…ูˆุฑ
372
+
373
+ 94
374
+ 00:06:40,190 --> 00:06:43,810
375
+ ุจุชุงุนุชูƒุŒ ู…ุงููŠุด ุฃูƒุซุฑ ู…ู† ู‡ูŠูƒ ููŠ ุญู„ ุงู„ู…ูˆุถูˆุน ู‡ุฐุงุŒ ูุฃู†ุช
376
+
377
+ 95
378
+ 00:06:43,810 --> 00:06:51,190
379
+ ุจุชุฌูŠุจ ุงู„ู€ A ูˆุงุถุญุฉ ู‡ูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉุŒ ุฎู„ุตู†ุงู‡ุง
380
+
381
+ 96
382
+ 00:06:51,190 --> 00:06:56,740
383
+ ุทูŠุจ B ุฅูŠุด ููŠู‡ุงุŸ ุงุชู†ูŠู† ุนู†ุฏูƒ ุงู„ุงุชู†ูŠู† ูˆุนู†ุฏูƒ ุงู„ูˆุงุญุฏ ูˆ
384
+
385
+ 97
386
+ 00:06:56,740 --> 00:07:00,700
387
+ ุนู†ุฏูƒ ุฃุฑุจุนุฉุŒ ูŠุนู†ูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุฃุฑุจุนุฉ ู…ุด ู‡ูŠูƒุŸ ูˆุงุญุฏ
388
+
389
+ 98
390
+ 00:07:00,700 --> 00:07:05,060
391
+ ุงุชู†ูŠู† ุฃุฑุจุนุฉุŒ ุทูŠุจ ุงู„ู€ bar ุจุฏูƒ ุชุฌูŠุจ ูƒู„ ุงู„ู€ subsets ู…ู†
392
+
393
+ 99
394
+ 00:07:05,060 --> 00:07:09,900
395
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุฃุฑุจุนุฉุŒ ูŠุนู†ูŠ ุงู„ู€ ร˜ ู…ุง ุญุฏุด ูŠู†ุณู‰ ุงู„ู€ ร˜ ูˆ
396
+
397
+ 100
398
+ 00:07:09,900 --> 00:07:18,640
399
+ ู†ูุณู‡ุงุŒ ูˆุจุนุฏูŠู† ุงุจุฏุฃ ุฃุญุท ุงู„ู€ parts ุจุชุงุนุชู‡ุงุŒ ูˆุงุญุฏ ู„ุญุงู„ู‡ุง
400
+
401
+ 101
402
+ 00:07:18,640 --> 00:07:22,960
403
+ ุงุชู†ูŠู† ู„ุญุงู„ู‡ุงุŒ ุฃุฑุจุนุฉ ู„ุญุงู„ู‡ุงุŒ ูˆุงุญุฏ ุงุชู†ูŠู†ุŒ ูˆุงุญุฏ ุฃุฑุจุนุฉุŒ
404
+
405
+ 102
406
+ 00:07:22,960 --> 00:07:27,460
407
+ ุงุชู†ูŠู† ุฃุฑุจุนุฉุŒ ูˆุงู„ู€ ร˜ ุทุจุนุงุŒ ู‡ุฐู‡ ู…ุณุจู‚ุง ุฃูˆู„ ุญุงุฌุฉ
408
+
409
+ 103
410
+ 00:07:27,460 --> 00:07:32,200
411
+ ุจุชุญุทู‡ุงุŒ ุฃูˆู„ ุดูŠุกุŒ ุฃูˆู„ ุดูŠุก ุนู„ู‰ ุทูˆู„ ุจุชุญุท ุงู„ู€ ร˜ุŒ ู‡ุงูŠ
412
+
413
+ 104
414
+ 00:07:32,200 --> 00:07:35,600
415
+ ุงู„ุณุคุงู„ุŒ ุฎู„ุต ุงู„ุณุคุงู„ุŒ ู‡ุงูŠ ุงู„ุณุคุงู„ ูƒุงู…ู„ ุจุงู„ูุฑุนูŠู†ุŒ ุชุงุจุนูˆู‡
416
+
417
+ 105
418
+ 00:07:35,600 --> 00:07:39,100
419
+ ุงู„ู…ูุฑูˆุถ ุฅู† ุฏุฑุฌุชู‡ุŒ ุฏุฑุฌุชู‡ุง ูƒุงู†ุชุŒ ุงู„ุฃุตู„ ูƒุงู†ุช ู…ุถู…ูˆู†ุฉ ุนู†ุฏ
420
+
421
+ 106
422
+ 00:07:39,100 --> 00:07:44,320
423
+ ุงู„ุทู„ุงุจุŒ ุตุญูŠุญุฉุŒ ู‡ูŠ ู‡ูŠ ุฃู†ุง ู‚ุงุนุฏ ุฃุญู„ู…ู‡ุงุŒ ู†ุตูู‡ุง ู‡ุฏู‰ุŒ ุงู‡
424
+
425
+ 107
426
+ 00:07:44,320 --> 00:07:46,640
427
+ ู†ุตูู‡ุง ู‡ุฏู‰ุŒ ู‡ูŠ ุฃู†ุง ู…ุงูƒู†ุด ุฃู„ุงู‚ูŠู‡ุงุŒ ู‡ุฏู‰ ูƒุงู†ุช ููŠ ุงู…ุชุญุงู†
428
+
429
+ 108
430
+ 00:07:46,640 --> 00:07:55,040
431
+ ู†ุตููŠุŒ ุทูŠุจ ูƒู…ุงู† ุณุคุงู„ ู…ู‚ู„ูˆุจ ู‡ู†ุง ููŠ ุงู…ุชุญุงู† ุขุฎุฑุŒ ูŠุนู†ูŠ ููŠ
432
+
433
+ 109
434
+ 00:07:55,040 --> 00:07:58,880
435
+ C ุจุณ ููŠ ูƒู†ุฏุง ู…ุงูƒู†ุชุด ููŠ ู†ูุณ ุงู„ุงู…ุชุญุงู†ุŒ ูƒุงู†ุช ููŠ ุงู…ุชุญุงู†
436
+
437
+ 110
438
+ 00:07:58,880 --> 00:08:02,920
439
+ ุชุงู†ูŠุŒ ูƒุงู† ุงู„ู…ู‚ู„ูˆุจ ุจุฑุถู‡ ู†ูุณ ุงู„ููƒุฑุฉุŒ ุจุฏู†ุง ู†ู…ุซู„ ุจุงู„ู€
440
+
441
+ 111
442
+ 00:08:02,920 --> 00:08:08,100
443
+ Venn diagram ู…ุฌู…ูˆุนุฉ ุงู„ู€ relations ู„ู„ู€ sets ูˆุงุญุฏ ูˆ
444
+
445
+ 112
446
+ 00:08:08,100 --> 00:08:13,270
447
+ ุงุชู†ูŠู†ุŒ ุจุฏู†ุง ู†ุฑุณู…ู‡ู… Venn diagram ุจุณ ุจุฎุทูˆุท ู…ุด ุฃูƒุซุฑ ู…ู†
448
+
449
+ 113
450
+ 00:08:13,270 --> 00:08:18,450
451
+ ู‡ูŠูƒุŒ ููƒู„ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุนู…ู„ู‡ ุจุฏู†ุง ู†ุฑุณู… ู‡ุงูŠ ุงู„ู€ A ูˆ B ูˆ C
452
+
453
+ 114
454
+ 00:08:18,450 --> 00:08:25,390
455
+ ู…ุชุฏุงุฎู„ุฉุŒ A ูˆ B ูˆ CุŒ ุฎุฏูˆุง ุจุงู„ูƒู… ู„ุงุฒู… ุชุนู…ู„ูˆู‡ู…
456
+
457
+ 115
458
+ 00:08:25,390 --> 00:08:29,170
459
+ ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ู„ูŠุดุŸ ุจู…ุนู†ู‰ ุฃู†ุชู… ุญุทูŠุชูˆุง ูƒู„ ุงู„ุชู‚ุทุนุงุช
460
+
461
+ 116
462
+ 00:08:29,170 --> 00:08:33,950
463
+ ุงู„ู…ู…ูƒู†ุฉุŒ ุจุนุฏ ู‡ูŠูƒ ุจู†ู‚ูˆู„ ู…ูˆุฌูˆุฏุฉ ูˆู„ุง ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ุจุณ ู…ุง
464
+
465
+ 117
466
+ 00:08:33,950 --> 00:08:40,360
467
+ ุชุณูŠุจู„ูŠุด ูˆุงุญุฏ ูŠุนู…ู„ูŠู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ู…ุซู„ุงุŒ ูˆุงุญุฏ ูŠุนู…ู„
468
+
469
+ 118
470
+ 00:08:40,360 --> 00:08:47,920
471
+ ู„ู‡ุง ู‡ูŠูƒุŒ ุฃู†ุง ุจุชูƒู„ู… ุนู† ู†ู…ุงุฐุฌ ูƒุงู†ุช ุฅุฌุงุจุงุช ูŠุนู†ูŠ ุจู‡ุฐุง
472
+
473
+ 119
474
+ 00:08:47,920 --> 00:08:52,860
475
+ ุงู„ุดูƒู„ุŒ ุทุจ ู„ูˆ ุทู„ุจู†ุง ู†ุฌูŠุจ ุชู‚ุงุทุน...ู‡ูŠ ุชู‚ุงุทุน ุฃุตู„ุง ูˆูŠู†
476
+
477
+ 120
478
+ 00:08:52,860 --> 00:08:57,400
479
+ ุจุงู†ุช ู‡ู†ุงุŸ ู…ุงููŠุด ุชู‚ุงุทุน...ู…ุงููŠุด ุชู‚ุงุทุนุŒ ูู„ุฃ ุจุฏูƒ
480
+
481
+ 121
482
+ 00:08:57,400 --> 00:09:01,260
483
+ ุชุฑุณู…ู‡ู… ุจุงู„ุดูƒู„ ู‡ุฐุง ู…ุจุฏุฆูŠุงุŒ ุนู„ู‰ ุทูˆู„ ุชุจุฏุฃ ุดุบู„ูƒ ุจุงู„ุดูƒู„
484
+
485
+ 122
486
+ 00:09:01,260 --> 00:09:07,580
487
+ ู‡ุฐุงุŒ ุฅู„ุง ุฅุฐุง ุงู„ุณุคุงู„ ุฃุนุทุงูƒ ุดูŠุก ุซุงู†ูŠุŒ ุฒูŠ ุฅูŠุดุŸ disjoint
488
+
489
+ 123
490
+ 00:09:07,580 --> 00:09:11,440
491
+ ู…ุซู„ุงุŒ ุฎู„ุงุตุŒ ุฅุฐุง ู‚ุงู„ ู„ูƒ disjoint ุฎู„ุงุต okayุŒ ุงูุตู„ู‡ู…
492
+
493
+ 124
494
+ 00:09:11,440 --> 00:09:14,480
495
+ ุงุจุนุฏู‡ู… ุนู† ุจุนุถุŒ ุฃู†ุช ุนุงุฑู ุฅู†ู‡ ู…ุงููŠุด ุฃุตู„ุง ุชู‚ุงุทุนุŒ ุชู…ุงู…
496
+
497
+ 125
498
+ 00:09:14,480 --> 00:09:20,800
499
+ ูู‡ู†ุง ุจู‚ู‰ ู†ูƒุชุจ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุนุดุงู† ู†ุจุฏุฃ ู†ุดูˆู ู…ูŠู† ู…ูˆุฌูˆุฏ
500
+
501
+ 126
502
+ 00:09:20,800 --> 00:09:25,240
503
+ ููŠ A ูˆุบูŠุฑ ู…ูˆุฌูˆุฏ ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ุชู‚ุงุทุนุŒ ุทุจ ูˆูŠู†
504
+
505
+ 127
506
+ 00:09:25,240 --> 00:09:30,420
507
+ ุงู„ุชู‚ุงุทุน ุจูŠู† CุŸ
508
+
509
+ 128
510
+ 00:09:30,420 --> 00:09:36,500
511
+ ู‡ูŠ ุงู„ุชู‚ุงุทุน ุจูŠู† C ุจุงู„ุถุจุทุŒ ุทูŠุจ ู„ู…ุง ู†ู‚ูˆู„ A ู…ูˆุฌูˆุฏ ููŠ
512
+
513
+ 129
514
+ 00:09:36,500 --> 00:09:40,820
515
+ A ูˆุบูŠุฑ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุชู‚ุงุทุนุŒ ูŠุนู†ูŠ ุฃู†ุง ุจุชูƒู„ู…ุŒ ุจุบูŠุฑ
516
+
517
+ 130
518
+ 00:09:40,820 --> 00:09:46,180
519
+ ุงู„ู„ูˆู†ุŒ ุจุชูƒู„ู… ุนู† ู‡ุฐุง
520
+
521
+ 131
522
+ 00:09:46,180 --> 00:09:49,880
523
+ ุงู„ุฌุฒุกุŒ ุตุญูŠุญุŸ
524
+
525
+ 132
526
+ 00:09:49,880 --> 00:09:56,480
527
+ ุฎู„ุต ู‡ุงูŠ ุงู„ุณุคุงู„ุŒ ุงู†ุชู‡ุช ุงู„ุณุคุงู„ุŒ ุงู„ุณุคุงู„ ุงู†ุชู‡ู‰ุŒ ู‡ุงูŠ
528
+
529
+ 133
530
+ 00:09:56,480 --> 00:10:03,350
531
+ ุชู‚ุงุทุน ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ุจุนุฏ ู…ุง ุญู„ู†ุงู‡ุง ู†ุดูˆู ูƒุฏู‡ ู‡ุงูŠ ุงู„ุชู‚ุงุทุน
532
+
533
+ 134
534
+ 00:10:03,350 --> 00:10:09,130
535
+ ูˆู‡ูŠ ุงู„ู…ุทู„ูˆุจ
536
+
537
+ 135
538
+ 00:10:09,130 --> 00:10:13,070
539
+ ุฃุณู‡ู„ ู…ู† ู‡ูŠูƒ ุณุคุงู„ุŸ ู…ุงููŠุดุŒ ุทูŠุจ ุงู„ุชุงู†ูŠ ู†ูุณ ุงู„ููƒุฑุฉ ุจุฏูƒ
540
+
541
+ 136
542
+ 00:10:13,070 --> 00:10:18,830
543
+ ุชุจุฏุฃ ู…ู† ุงู„ุชู„ุงุช ุฏูˆุงุฆุฑ ูˆูƒู„ ุงู„ู…ุดูƒู„ุฉ ูƒุงู†ุช ุณุงุจู‚ุง ููŠ
544
+
545
+ 137
546
+ 00:10:18,830 --> 00:10:23,110
547
+ ุจุฏุงูŠุฉ ุงู„ุชู„ุงุช ุฏูˆุงุฆุฑ ู‡ุฐูˆู„ุŒ ู„ุฃู†ูƒ ุฃู†ุช ู„ุงุฒู… ุชุญุท ูƒู„ ุงู„ู€
548
+
549
+ 138
550
+ 00:10:23,110 --> 00:10:26,890
551
+ possibilities ุงู„ู…ู…ูƒู†ุฉุŒ ู…ุง ู„ู‡ุงุด ู…ุนู†ู‰ ุชุนู…ู„ู‡ู… disjoint
552
+
553
+ 139
554
+ 00:10:26,890 --> 00:10:29,010
555
+ ุทุจ ุฃู†ุง ู‚ู„ุช ู„ูƒ disjointุŒ ุงู„ุณุคุงู„ ุฌุงู„ ููŠ disjoint
556
+
557
+ 140
558
+ 00:10:29,010 --> 00:10:33,070
559
+ ู…ุง ุฌุงุดุŒ ุทุจ ู„ูŠุด ุงูุชุฑุถุช ู…ู† ุนู†ุฏูƒ ุฅู†ู‡ ููŠ disjointุŸ ู…ุงููŠุด
560
+
561
+ 141
562
+ 00:10:33,070 --> 00:10:37,890
563
+ disjoint ุงู‡ุŒ ุจุณ ุจุฏูƒ ุชุญุฏุฏ disjoint ู„ู…ูŠู† ู…ุน ู…ูŠู†ุŸ
564
+
565
+ 142
566
+ 00:10:37,890 --> 00:10:41,110
567
+ ุจุงู„ุถุจุท
568
+
569
+ 143
570
+ 00:10:41,110 --> 00:10:44,270
571
+ ุงู‡ุŒ ูุจุฏูƒ ุชุงุฎุฏ...ุจูŠู‚ูˆู„ ู„ูƒ ู…ูŠู† ู…ุน ู…ูŠู† ุจุฏูƒ ุชูุตู„ู‡ู… ู…ุน
572
+
573
+ 144
574
+ 00:10:44,270 --> 00:10:50,500
575
+ ุจุนุถุŒ ุทูŠุจ ูู‡ูŠ ู‡ูŠ ุงู„ููƒุฑุฉุŒ ุจุฏูƒ ุชุจุฏุฃ ุชุฌูŠุจ A difference
576
+
577
+ 145
578
+ 00:10:50,500 --> 00:10:55,660
579
+ BุŒ A difference B ุงู„ู„ูŠ ู‡ูˆ ุจุฏูƒ ุชุจุฏุฃ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ A ูˆู‡ูŠ
580
+
581
+ 146
582
+ 00:10:55,660 --> 00:11:01,820
583
+ BุŒ ู…ุด ู‡ูŠ A ูˆ BุŒ ูู‡ูŠ A difference BุŒ ุทูŠุจ
584
+
585
+ 147
586
+ 00:11:01,820 --> 00:11:08,340
587
+ A difference CุŒ ู‡ูŠ A difference CุŒ ูุฃู†ุช ุจุชุชูƒู„ู… ุนู†
588
+
589
+ 148
590
+ 00:11:08,340 --> 00:11:10,720
591
+ ู‡ุฐุง ุงู„ุฌุฒุก
592
+
593
+ 149
594
+ 00:11:13,580 --> 00:11:18,300
595
+ ุงู„ู„ูŠ ุจุงู„ุฃุญู…ุฑุŒ ู…ุทู„ูˆุจ ุฅูŠุดุŸ ุงุชุญุงุฏ ูˆู„ุง ุชู‚ุงุทุนุŸ ุงุชุญุงุฏุŒ ุฎู„ุงุต
596
+
597
+ 150
598
+ 00:11:18,300 --> 00:11:23,420
599
+ ุจุชุนู…ู„ ุงุชุญุงุฏ ู„ู„ุงุชู†ูŠู†ุŒ ุจุชุนู…ู„ ุงุชุญุงุฏ ู„ู„ุงุชู†ูŠู†ุŒ ูู‡ู†ุง ู‡ุงูŠ
600
+
601
+ 151
602
+ 00:11:23,420 --> 00:11:29,820
603
+ ุจุฏู†ุง ู†ุงุฎุฏ ูƒู„ ูˆุงุญุฏุฉ ู„ุญุงู„ุŒ ูŠุนู†ูŠ
604
+
605
+ 152
606
+ 00:11:29,820 --> 00:11:33,220
607
+ ูƒุงู† ู…ู…ูƒู† ุงู„ุณุคุงู„ ูŠุฌูŠ ุฃุบูŠุฑู‡ ููŠ ุงู…ุชุญุงู† ุซุงู†ูŠุŒ ุฃู‚ูˆู„
608
+
609
+ 153
610
+ 00:11:33,220 --> 00:11:34,660
611
+ ุฃุซุจุช ุฃู† ุงู„ุงุชู†ูŠู† ุจูŠุณุงูˆูŠ ุจุนุถ
612
+
613
+ 154
614
+ 00:11:38,930 --> 00:11:41,750
615
+ ุตุญ ูˆู„ุง ู…ุด ุตุญุŸ ูŠุนู†ูŠ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ูˆ ู†ูุณ ุงู„ุณุคุงู„ุŒ ุฃู†ุง
616
+
617
+ 155
618
+ 00:11:41,750 --> 00:11:45,290
619
+ ููŠ ุนู†ุฏูŠ flexibility ู„ุฅู† ุฃู†ุง ููŠ ุงู…ุชุญุงู† ุซุงู†ูŠ ุฃุฌูŠุจู‡ู…
620
+
621
+ 156
622
+ 00:11:45,290 --> 00:11:49,670
623
+ ู†ูุณู‡ู…ุŒ ู„ูƒู† ุตูŠุบุฉ ุงู„ุณุคุงู„ ุฃุบูŠุฑู‡ุงุŒ ู„ูŠุด ุฃู‚ูˆู„ ู„ูƒ ุงุฑุณู…ู‡ุง ููŠ
624
+
625
+ 157
626
+ 00:11:49,670 --> 00:11:54,790
627
+ ุฏุงูŠูˆุฌุฑุงู… ูˆุฃุณูƒุชุŸ ู‡ุฃู‚ูˆู„ ู„ูƒ ุฃุซุจุช ู„ูŠ ุฅู† ู‡ู… ุจูŠุณุงูˆูˆุง ุจุนุถ ู„ุฃู†
628
+
629
+ 158
630
+ 00:11:54,790 --> 00:11:57,350
631
+ ู‡ูŠู† ุจูŠุจูŠู† ู„ูŠ ุฅู† ู‡ู… ุจูŠุณุงูˆูˆุง ุจุนุถุŒ ุตุญูŠุญุŸ ุจูŠุจูŠู† ู„ูŠ ุฅู† ู‡ู…
632
+
633
+ 159
634
+ 00:11:57,350 --> 00:12:03,070
635
+ ุจูŠุณุงูˆูˆุง ุจุนุถุŒ ุชู…ุงู…ุŒ ุทูŠุจุŒ ูƒู…ุงู† ู…ุซุงู„ ู…ู…ูƒู† ูŠุฌูŠ ุนู„ู‰ ุงู„ู€
636
+
637
+ 160
638
+ 00:12:03,070 --> 00:12:09,400
639
+ setsุŒ ุนู„ู‰ ุงู„ู€ setsุŒ ุฒูŠ ู…ุซู„ุง ุงู„ุฃู…ุซู„ุฉ ุงู„ู…ู‚ุงู„ูŠุฉ ุงู„ู„ูŠ ุฒูŠ
640
+
641
+ 161
642
+ 00:12:09,400 --> 00:12:14,020
643
+ ู‡ูŠูƒ ู…ู…ูƒู† ุชูŠุฌูŠุŒ ูˆู‡ุฐู‡ ู…ู„ูŠุงู†ุฉ ุงู„ู€ net ู…ู„ูŠุงู†ุฉ ูˆู…ูˆุฌูˆุฏุฉ
644
+
645
+ 162
646
+ 00:12:14,020 --> 00:12:18,360
647
+ ูƒุฃุณุฆู„ุฉ ูƒุชูŠุฑ ุจุชูŠุฌูŠุŒ ุฎู„ูŠู†ุง ู†ุดูˆูุŒ ููŠ ู…ุทู„ูˆุจ newspaper
648
+
649
+ 163
650
+ 00:12:18,360 --> 00:12:23,200
651
+ runs a surveyุŒ ููŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ุฌุฑุงูŠุฏ ุนู…ู„ุช surveyุŒ ุนู…ู„ุช
652
+
653
+ 164
654
+ 00:12:23,200 --> 00:12:27,160
655
+ ุงู„ู„ูŠ ู‡ูŠ ูŠุนู†ูŠ ู…ุณุญ ูˆุงุณุชุจุงู†ุฉุŒ ุงู„ุงุณุชุจุงู†ุฉ ู‡ุฐู‡ ุจุฏุฃุช ุชุนู…ู„
656
+
657
+ 165
658
+ 00:12:27,160 --> 00:12:30,680
659
+ collection ู„ุจุนุถ ุงู„ุญู‚ุงุฆู‚ ุงู„ู„ูŠ ุนู†ุฏู‡ุงุŒ ููˆุฌุฏูˆุง ุจุนุถ
660
+
661
+ 166
662
+ 00:12:30,680 --> 00:12:35,760
663
+ ุงู„ู†ุชุงุฆุฌุŒ ุธู‡ุฑุช ุนู†ุฏู‡ู…ุŒ ุธู‡ุฑ ุนู†ุฏู‡ู… ุฅู†ู‡ ูˆุงุญุฏ ูˆุฃุฑุจุนูŠู† ุดุฎุต
664
+
665
+ 167
666
+ 00:12:36,590 --> 00:12:40,450
667
+ ู…ู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุงุชูˆุฒุนุช ุนู„ูŠู‡ู… ุงู„ุงุณุชุจุงู†ุฉุŒ ุจูุถู„ูˆุง
668
+
669
+ 168
670
+ 00:12:40,450 --> 00:12:44,510
671
+ ุงู„ู…ู‚ุงู„ุงุช ุงู„ู€ politics ุงู„ุณูŠุงุณูŠุฉุŒ ุจูุถู„ูˆุง ุงู„ุณูŠุงุณูŠุฉ
672
+
673
+ 169
674
+ 00:12:44,510 --> 00:12:48,370
675
+ ุซู„ุงุซุฉ ูˆุซู„ุงุซูŠู† ู…ู† ุงู„ู†ุงุณ ุจูุถู„ูˆุง ุงู„ู€ cultures ุงู„ุซู‚ุงููŠุฉ
676
+
677
+ 170
678
+ 00:12:48,370 --> 00:12:53,7
679
+
680
+ 223
681
+ 00:16:54,250 --> 00:16:59,670
682
+ ุงู„ุชุณุนุฉ ุฅูŠุด ุจูุถู„ุŸ culture, sport, but not politics
683
+
684
+ 224
685
+ 00:16:59,670 --> 00:17:04,430
686
+ ุชู…ุงู… ู…ุนู†ุงุชู‡ ู‡ูŠ ู‡ุฐู‡ ุจู†ู‚ุฏุฑ ู†ุดุทุจู‡ุง ู„ุฃู† ุจู†ู‚ุฏุฑ ู†ุณุชููŠุฏ
687
+
688
+ 225
689
+ 00:17:04,430 --> 00:17:16,440
690
+ ู…ู†ู‡ุง culture, ู‡ูŠ culture ูˆ sport, but not ุฎู„ุงุต
691
+
692
+ 226
693
+ 00:17:16,440 --> 00:17:21,620
694
+ ุจู†ู†ุฒู„ ููŠู‡ุง ุชุณุนุฉ ุจุฏูƒ
695
+
696
+ 227
697
+ 00:17:21,620 --> 00:17:25,260
698
+ ุชุญุท ุนู„ูŠู‡ุง ุชุณุนุฉุŒ ุฎู„ุตู†ุงู‡ุงุŒ ุฃูŠ ุชุณุนุฉ ุงู„ุฃูˆู„ู‰ ุฎู„ุตู†ุงู‡ุง ุจุนุฏ
699
+
700
+ 228
701
+ 00:17:25,260 --> 00:17:29,560
702
+ ู‡ูŠูƒ ุชู…ุงู†ูŠุฉุŒ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุงู„politics and sport
703
+
704
+ 229
705
+ 00:17:29,560 --> 00:17:36,170
706
+ but not cultureุŒ ุจุฑุถู‡ ู†ู‚ุฏุฑ ู†ุดุทุจู‡ุง ูˆ ู†ุฎู„ุตู‡ุงุŒ ู‡ุฏูˆู„ ู…ูŠู† ู…ุน
707
+
708
+ 230
709
+ 00:17:36,170 --> 00:17:39,070
710
+ ู…ูŠู† ุจู‚ูˆู„ู†ุง ุงุญู†ุง politics ูˆ sportุŒ ู‡ุงูŠ ุงู„ุฌุฒุก ู‡ู†ุง
711
+
712
+ 231
713
+ 00:17:39,070 --> 00:17:44,670
714
+ ุตุญูŠุญุŸ ูุฅุฐุง ุนู†ุฏูƒ ู‡ู†ุง ุชู…ุงู†ูŠุฉ ุจุชูƒุชุจ ุงู„ุชู…ุงู†ูŠุฉุŒ ุญุทูŠู†ุง
715
+
716
+ 232
717
+ 00:17:44,670 --> 00:17:50,890
718
+ ุงู„ุชู…ุงู†ูŠุฉ ุฅูŠุด ูƒู…ุงู† ุถุงู„ ุนู†ุฏูŠุŸ ุงู„ุงุซู†ูŠ ุนุดุฑุŒ ุงู„ุงุซู†ูŠ ุนุดุฑ ุงู„ู„ูŠ
719
+
720
+ 233
721
+ 00:17:50,890 --> 00:17:55,410
722
+ ู…ู…ูƒู† ู†ุชูƒู„ู… ุนู†ู‡ุงุŒ ู…ุด ููŠู‡ุง ู…ุดูƒู„ุฉุŒ ุจุฑุถู‡ ุฎู„ูŠู†ุง ู†ุดุทุจู‡ุง
723
+
724
+ 234
725
+ 00:17:55,410 --> 00:18:03,350
726
+ ูˆููŠ ุนู†ุฏูƒ ุนุดุฑูŠู†ุŒ don't like any cowardุŒ ูุฅุฐุง ู‡ุฏ ุจุฏู‡ุง
727
+
728
+ 235
729
+ 00:18:03,350 --> 00:18:09,130
730
+ ุชูƒูˆู† ุจุฑุฉุŒ ุญุทู†ุงู‡ุง ุฎุงุฑุฌูŠุฉุŒ ู‡ูŠ ู…ู† ุงู„ universe of
731
+
732
+ 236
733
+ 00:18:09,130 --> 00:18:12,730
734
+ discourseุŒ ู„ูƒู† ุจูุถู„ุด ูˆู„ุง ู†ูˆุน ู…ู† ุงู„ู…ู‚ุงู„ุงุช ุงู„ุซู„ุงุซุฉ
735
+
736
+ 237
737
+ 00:18:12,730 --> 00:18:16,810
738
+ okayุŒ ุญุทู†ุงู‡ุง ู‡ู†ุงุŒ ุทู„ุนู†ุงู‡ุง ู„ุจุฑุฉุŒ ุงู„ุขู† ุจู†ุฑุฌุน ุฃุฑุฌูˆ ุนุดุงู†
739
+
740
+ 238
741
+ 00:18:16,810 --> 00:18:20,450
742
+ ู†ูƒู…ู„ุŒ ู„ุณู‡ ู…ุง ุฃุฎุฐู†ุงู‡ุงุดุŒ ุจุชู‡ูŠุฃู„ูŠ ุงู„ุขู† ุงู„ุฃุฑุจุน ุนุดุฑุฉ ุตุงุฑ ..
743
+
744
+ 239
745
+ 00:18:20,450 --> 00:18:25,150
746
+ ููŠ ุฅู…ูƒุงู†ูŠ ุฃู† ู†ุชุนุงู…ู„ ู…ุนู‡ุงุŸ ุนู†ุฏูƒ ุฃุฑุจุน ุนุดุฑุฉ ุฃูˆ .. okay
747
+
748
+ 240
749
+ 00:18:25,150 --> 00:18:29,930
750
+ ุฃุฑุจุน ุนุดุฑุฉ ูˆ ู†ุชุทู„ุน .. ูˆ ู‡ุฏูˆู„ ูƒู… ูˆุงุญุฏุฉุŸ OkayุŒ ู‡ุฐู‡
751
+
752
+ 241
753
+ 00:18:29,930 --> 00:18:32,890
754
+ ูƒูˆูŠุณุฉุŒ ูŠู…ูƒู† ู„ุฃู† ููŠู‡ุง ุชุดุงุจู‡ุงุชุŒ ูุฏุงุฆู…ุง ุงุจุฏุฃ ุจุงู„ู„ูŠ
755
+
756
+ 242
757
+ 00:18:32,890 --> 00:18:36,910
758
+ ุจูŠูƒูˆู† ุชู‚ุงุทุนุงุช ููŠู‡ุงุŒ ู„ุฅู†ู‡ ุจุชูƒูˆู† ู…ุณุงุญุชู‡ุง ุฃุถูŠู‚ ูุจุชู‚ุฏุฑ
759
+
760
+ 243
761
+ 00:18:36,910 --> 00:18:40,910
762
+ ุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุฃุณุฑุนุŒ ุฃุฑุจุน ุนุดุฑุฉุŒ ู‡ุฏูˆู„ ุจูุถู„ู‡ุง politics
763
+
764
+ 244
765
+ 00:18:40,910 --> 00:18:46,250
766
+ and sport, politics and sportุŒ ุชู‚ุงุทุน ุงู„ุงุซู†ูŠู† ุจูŠุนุทูŠู†ูŠ
767
+
768
+ 245
769
+ 00:18:46,250 --> 00:18:53,030
770
+ ูƒู„ ู‡ุฐุง ููŠ ู…ู†ู‡ู… ุซู…ุงู†ูŠุฉ ุจุงู„ุธุจุทุŒ ูˆุฏู‘ูŠุชุŸ ุฎู„ุตุช ููƒู„ ู‡ุฐู‡
771
+
772
+ 246
773
+ 00:18:53,030 --> 00:18:56,670
774
+ ุงู„ู…ูุฑูˆุถ ุฃุฑุจุน ุนุดุฑุฉุŒ ุทุจ ุฃู†ุง ููŠ ุนู†ุฏูŠ ุซู…ุงู†ูŠุฉ ู…ู†ู‡ู…ุŒ ุจูŠุถู„
775
+
776
+ 247
777
+ 00:18:56,670 --> 00:19:07,270
778
+ ุณุชุฉุŒ ุจูŠุถู„ ุฌุฒุก ุงู„ุณุชุฉุŒ ูƒูˆูŠุณุŒ ุฎู„ุตู†ุงุŒ ู‡ูŠูƒ ู…ูŠู† ุงู„ุฌุฒุก ู‡ุฐุง ุชุญุช
779
+
780
+ 248
781
+ 00:19:07,270 --> 00:19:11,350
782
+ ุงุญู†ุง ุฎู„ุตู†ุง ู‡ุฐู‡ุŒ ุจุฑุถู‡ ู…ุง ุถู„ ุฅู„ุง ุจุณ ู†ุนุฑู ูƒู„ ูˆุงุญุฏุฉ
783
+
784
+ 249
785
+ 00:19:11,350 --> 00:19:15,350
786
+ totalุŒ ุฌุฏูŠุด ู…ุน ุจุนุถู‡ุงุŒ ูู…ู…ูƒู† ุงู„ politics ุงู„ุขู† ุงู„ู„ูŠ ู‡ูŠ
787
+
788
+ 250
789
+ 00:19:15,350 --> 00:19:20,190
790
+ ูˆุงุญุฏ ูˆุฃุฑุจุนูŠู†ุŒ ู†ุชุฌุณ ู…ู†ู‡ู… ุงู„ุซู„ุงุซุฉ ู‡ุฏูˆู„ุŒ ู„ุฃู†ู‡ ู…ุง ุถู„
791
+
792
+ 251
793
+ 00:19:20,190 --> 00:19:23,710
794
+ ุฅู„ุง ุฎุงู†ุฉ ูˆุงุญุฏุฉุŒ ูุฎุงู†ุฉ ูˆุงุญุฏุฉ ุฎู„ุงุตุŒ ุงู„ู…ุชุจู‚ูŠ ู‡ูˆ ุนู„ูŠ
795
+
796
+ 252
797
+ 00:19:23,710 --> 00:19:29,410
798
+ ุฅู„ู‡ุงุŒ ุจุทู„ุน ุนู†ุฏูƒ ุฌุฏูŠุดุŸ ูˆุงุญุฏ ูˆุฃุฑุจุนูŠู†ุŒ ุฎู…ุณุฉ ุนุดุฑ
799
+
800
+ 253
801
+ 00:19:31,930 --> 00:19:35,990
802
+ ุฃู‡ ู…ุงุดูŠุŒ ุจุชูุฑู‚ุดุŒ ุงู„ู…ู‡ู… ุฅู† ุงู„ุซู„ุงุซุฉ ูƒู„ู‡ู… ู‡ุฑุฌุชุŒ ุจุชุตููˆุง
803
+
804
+ 254
805
+ 00:19:35,990 --> 00:19:41,050
806
+ ูƒู„ู‡ู… ุฅูŠุดุŸ ุจุชุตููˆุงุŒ ูˆุงุถุญุช ุฅู† ูƒู„ู‘ู‡ ู‡ูŠุจูŠู†ุŒ ุฎู„ุตู†ุงู‡ู… ุงู„ุขู†
807
+
808
+ 255
809
+ 00:19:41,050 --> 00:19:45,250
810
+ ุชุจุฏุฃ ุชุดูˆู ุฅูŠุด ุจุฏู‡ุŒ ูˆู‡ูŠูƒ ุฎู„ุตุช ุงู„ุญู„ุŒ ุงุตู„ุง ูŠุนู†ูŠ ู‡ูŠูƒ
811
+
812
+ 256
813
+ 00:19:45,250 --> 00:19:52,250
814
+ ุฎู„ุต ุงู„ุญู„ ุฃุณุงุณุงุŒ ุงู„ุญู„ ุงู†ุชู‡ู‰ุŒ ุชู…ุงู…ุŒ ู‡ุฐู‡ ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ูƒู…
815
+
816
+ 257
817
+ 00:19:52,250 --> 00:19:55,850
818
+ ุนุฏุฏ
819
+
820
+ 258
821
+ 00:19:55,850 --> 00:19:57,530
822
+ ู‚ู„ูŠู„ ุฌุฏุง ู…ู† ุงู„ุทู„ุงุจ ุงู„ู„ูŠ ูƒุงู† ุจูŠุญู„ู‡ุง
823
+
824
+ 259
825
+ 00:20:01,050 --> 00:20:05,660
826
+ ูƒูŠูุŸ ู…ุง ู‡ูŠ ุญุณุจ ุจู‚ู‰ ุงู„ุงู…ุชุญุงู†ุŒุญุณุจ ุจุฌูŠ ุงู„ุงู…ุชุญุงู† ูŠุนู†ูŠ
827
+
828
+ 260
829
+ 00:20:05,660 --> 00:20:09,340
830
+ ุฃู†ุช ุฌุฏูŠุด ุงู„ weight ุชุจุน ุงู„ุงู…ุชุญุงู† ุจูŠุงุฎุฏ ุฏุฑุฌุฉุŒ ุจูŠุงุฎุฏ
831
+
832
+ 261
833
+ 00:20:09,340 --> 00:20:13,680
834
+ ุฏุฑุฌุฉุŒ ุจุณ ุจุชูƒูˆู† ุนุงุฏุฉ ุฏุฑุฌุฉ ูƒูˆูŠุณุฉุŒ ู…ุญุฑุฒุฉ ูŠุนู†ูŠ ุจุชุณุชุงู‡ู„
835
+
836
+ 262
837
+ 00:20:13,680 --> 00:20:19,900
838
+ ุฅู†ูƒ ุฃู†ุช ุชู‚ุนุฏ ุชุฑุณู… .. ุชุณุชุงู‡ู„ ุชุฑุณู… ูƒูˆูŠุณุฉุŒ ูุงู„ู†ุชุงุฆุฌ
839
+
840
+ 263
841
+ 00:20:19,900 --> 00:20:23,760
842
+ ุงู„ุขู†ุŒ ุจุนุฏูŠู† ุฃู†ุช ุญู‚ู‚ู‡ุง ุจุฑุงุญุชูƒุŒ okayุŒ ุญู‚ู‚ู‡ุง ุจุฑุงุญุชูƒุŒ ู…ุด
843
+
844
+ 264
845
+ 00:20:23,760 --> 00:20:26,680
846
+ ู…ุด ู…ุดูƒู„ุฉุŒ ู…ุฏุงู… ุฃู†ุช ูˆุตู„ุช ู„ู„ู†ู‚ุทุฉ ู‡ุฐู‡ุŒ ูƒู„ ูˆุงุญุฏุฉ ุจุชู…ุณูƒู‡ุง ูˆ
847
+
848
+ 265
849
+ 00:20:26,680 --> 00:20:28,900
850
+ ุจุชู‚ุฑุงู‡ุงุŒ ุฅูŠุด ุงู„ู„ูŠ ุจุฏูˆูŠุง ุจุงู„ุธุจุทุŒ ูˆุจุช .. ุจุชุฌูŠุจ
851
+
852
+ 266
853
+ 00:20:28,900 --> 00:20:34,030
854
+ ุงู„ู…ุฌู…ูˆุนุŒ ุจุชุฌูŠุจ ุงู„ totals ุชุจุนุชู‡ู…ุŒ ุฎู…ุณูŠู†ุŒ ุงู‡ ุงู„ุฃูˆู„ู‰ุŒ ู‡ุฐู‡
855
+
856
+ 267
857
+ 00:20:34,030 --> 00:20:39,550
858
+ ุฃูˆ ูŠุนู†ูŠ ุงู„ people don't like sportsุŒ ุจูŠูุถู„ูˆุด sport
859
+
860
+ 268
861
+ 00:20:39,550 --> 00:20:44,050
862
+ ู‡ูŠ ุงู„ sportุŒ ู…ุด ู‡ูŠูƒ ูŠุนู†ูŠุŒ ุดูŠู„ุŒ ุฎุฏ ู‡ุฏูˆู„ุŒ ูˆุงุฌู…ุน ุงู„ุจุงู‚ูŠ
863
+
864
+ 269
865
+ 00:20:44,050 --> 00:20:50,110
866
+ ุฎู…ุณุŒ ุฃูŠูˆู‡ุŒ ุฎู…ุณูŠู† ูˆู„ุง ู…ุด ุฎู…ุณูŠู†ุŸ ู‡ูŠ ู‡ูŠ ู‡ูŠ ู‡ูŠ ุฏูŠ ู…ุนู‡ุง ุฏูŠ
867
+
868
+ 270
869
+ 00:20:50,110 --> 00:20:54,130
870
+ ุฎู…ุณุฉ ุนุดุฑ ู…ุน ุฎู…ุณุฉ ุนุดุฑ ู‡ูŠ ุซู„ุงุซูŠู†ุŒ ูˆุนุดุฑูŠู† ุจุฑุฉุŒ ุฎู„ุงุต ู‡ูŠ
871
+
872
+ 271
873
+ 00:20:54,130 --> 00:20:58,370
874
+ ุงู„ุฎู…ุณูŠู†ุŒ ูˆู‚ุต ุนู„ู‰ ุฐู„ูƒุŒ ุทูŠุจ
875
+
876
+ 272
877
+ 00:21:05,640 --> 00:21:10,000
878
+ ุชู…ุงู…ุŒ ู‡ูŠ ูƒู…ุงู† ู…ุซุงู„ ู…ู† ุงู„ุฃู…ุซู„ุฉ ุจุชุงุนุฉ ุงู…ุชุญุงู†ุงุช ูƒุงู†
879
+
880
+ 273
881
+ 00:21:10,000 --> 00:21:12,200
882
+ ุนู„ูŠู‡ุง ุฎู…ุณ ุฏุฑุฌุงุชุŒ ุญุชู‰ ูŠู†ุฌูŠุจู„ูƒูˆุง ุฅูŠุงู‡ุง ุจุงู„ุฏุฑุฌุฉ
883
+
884
+ 274
885
+ 00:21:12,200 --> 00:21:21,000
886
+ ุจุชุงุนุชู‡ุงุŒ ูƒูŠูุŸ
887
+
888
+ 275
889
+ 00:21:21,000 --> 00:21:24,640
890
+ ู„ุฃ
891
+
892
+ 276
893
+ 00:21:24,640 --> 00:21:32,240
894
+ ู„ุฃุŒ ู…ุง ูƒู†ุงุด ู…ู† ู‡ุงู„ .. ุทุจ ู…ุง ู‡ูŠ ูƒู„ .. ูƒู„ ุงู…ุชุญุงู†ุงุช ุฃู†ุง
895
+
896
+ 277
897
+ 00:21:32,240 --> 00:21:35,880
898
+ ู…ุด ุฌุงูŠุจู„ูƒ ุจุณ ู…ู† ุงู„ุณู†ุฉ ุงู„ู„ูŠ ูุงุชุชุŒ ู…ู† ุงู„ู„ูŠ ุฌุงุจ ู„ูŠุŒ ุทูŠุจ
899
+
900
+ 278
901
+ 00:21:35,880 --> 00:21:44,080
902
+ ู„ุช aุŒ ูˆู‡ูŠ ุจูŠุนุทูŠูƒ aุŒ aุŒ bุŒ cุŒ dุŒ eุŒ bุŒ ุงู„ 6b ุจุฑุถู‡ ุจูŠุนุทูŠู†ุง
903
+
904
+ 279
905
+ 00:21:44,080 --> 00:21:48,120
906
+ ุงู„ 6c givenุŒ ุจุฑุถู‡ ุงู„ุขู†ุŒ ูƒู„ ุงู„ู…ุทู„ูˆุจ ู…ุซู„ุง ู„ู…ุง ู†ูŠุฌูŠ
907
+
908
+ 280
909
+ 00:21:48,120 --> 00:21:53,920
910
+ ู†ุทู„ุจ a union bุŒ ุทูŠุจ ู‡ุฐู‡ ุฅูŠู‡ ุนู„ุงู‚ุฉ ุจุงู…ุชุญุงู† ุณุงุจู‚
911
+
912
+ 281
913
+ 00:21:53,920 --> 00:21:59,520
914
+ ูˆุงู…ุชุญุงู† ู„ุงุญู‚ุŒ ุงู„ุณุคุงู„ ู‡ุฐู‡ ู…ุญุชุงุฌุฉ ุตุนูˆุจุฉ ู„ู‡ุฐู‡ ุงู„ุฏุฑุฌุฉ
915
+
916
+ 282
917
+ 00:21:59,520 --> 00:22:02,040
918
+ ุฃู†ู‡ ููŠ ุงู…ุชุญุงู† ู…ุง ุชู†ุญู„ุดุŸ
919
+
920
+ 283
921
+ 00:22:04,730 --> 00:22:08,550
922
+ ูŠุนู†ูŠ ุฃู†ุง .. ุงู„ู…ู†ุทู‚ ุฃุตู„ุง ุฃู† ู‡ุฐุง ู…ุด ุณุคุงู„ ุฃุฌูŠ ุฃุญู„ู‡
923
+
924
+ 284
925
+ 00:22:08,550 --> 00:22:13,970
926
+ ู‡ู†ุง ุนู„ู‰ ุงู„ .. ู„ูƒู† ู„ุฃู† ุณุคุงู„ ุงู…ุชุญุงู† ุฌุงูŠ ุจุงู„ูƒูˆูŠุฉุŒ ุฃู…ุง
927
+
928
+ 285
929
+ 00:22:13,970 --> 00:22:16,910
930
+ ู‡ูˆ ู…ุด ู…ู†ุทู‚ ุฃุตู„ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุฏู„ูˆู‚ุชุŒ ู†ุงู†ูŠ ูŠู†ุญู„ู‡ุŒ ู„ุฃู†ู‡
931
+
932
+ 286
933
+ 00:22:16,910 --> 00:22:20,030
934
+ ุฃุจุณุท ู…ู† ุฃู†ู‡ ูŠู†ุญู„ุŒ ู…ุด ู‡ูŠูƒุŒ ูˆุฑุบู… ุฐู„ูƒ ูƒุงู† ุฌุงูŠ ููŠ
935
+
936
+ 287
937
+ 00:22:20,030 --> 00:22:27,710
938
+ ุงู…ุชุญุงู† .. ูƒุงู† ุฌุงูŠ ููŠ ุงู…ุชุญุงู†ุŒ ุทูŠุจ ุฅูŠู‡ุŸ difference B
939
+
940
+ 288
941
+ 00:22:27,710 --> 00:22:32,770
942
+ intersection CุŒ ุจุฏูƒ ุชุฌูŠุจ B intersection CุŒ ู…ุง ุฃุนุชู‚ุฏุด
943
+
944
+ 289
945
+ 00:22:32,770 --> 00:22:36,830
946
+ ูƒุชูŠุฑ ุตุนุจุฉ ุงู„ุฌุซุฉุŒ ุนุดุงู† ููŠ ุงู„ุขุฎุฑ ุชุชุฑุญู‰ ู…ู† ุงู„ AุŒ ูู‡ุชู‚ูˆู„
947
+
948
+ 290
949
+ 00:22:36,830 --> 00:22:45,210
950
+ AุŒ ูˆู‡ูŠู„ุงู‚ูŠ ุงู„ B intersection CุŒ ูˆุฎู„ุตู†ุงุŒ ุจุชูƒู…ู„ ุงู„ุดุบู„
951
+
952
+ 291
953
+ 00:22:45,210 --> 00:22:49,370
954
+ ููŠ ุดูŠุก ุซุงู†ูŠ ูƒู…ุงู†ุŒ ุงู‡ ู‡ู†ุง ู…ุซู„ุง ููŠ ุฑู‚ู… ุซู„ุงุซุฉุŒ ููŠ ุฑู‚ู…
955
+
956
+ 292
957
+ 00:22:49,370 --> 00:22:55,350
958
+ ุซู„ุงุซุฉุŒ ู…ุทู„ูˆุจ A intersection CุŒ Cartesian product CุŒ
959
+
960
+ 293
961
+ 00:22:55,350 --> 00:22:59,850
962
+ difference BุŒ ุจุชุฌูŠุจ ู‡ุฐู‡ ู„ุญุงู„ุŒ ู‡ุฐู‡ ู„ุญุงู„ุŒ ูˆุจุนุฏูŠู† ุชุนู…ู„
963
+
964
+ 294
965
+ 00:22:59,850 --> 00:23:07,050
966
+ ุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ ู…ู† ุงู„ุฃูˆู„ู‰ ู…ุน ุงู„ุซุงู†ูŠุฉุŒ ุฎู„ุตู†ุงู‡ุงุŒ ู…ู† ุงู„ุฃูˆู„ู‰
967
+
968
+ 295
969
+ 00:23:07,050 --> 00:23:13,430
970
+ ู…ุน ุงู„ุซุงู†ูŠุฉุŒ ู ู‡ุฐู‡ ูุนู„ูŠุง ุชุทู„ุน A ูˆ CุŒ ุจุชูƒู…ู„ู‡ุงุŒ ุจุชูƒู…ู„ู‡ุง
971
+
972
+ 296
973
+ 00:23:13,430 --> 00:23:21,270
974
+ ุทูŠุจ ู…ุทู„ูˆุจ ุงู„ cardinality ู„ ุงู„ power of AุŒ ุงุชู†ูŠู†ุŸ ุจุณ
975
+
976
+ 297
977
+ 00:23:21,270 --> 00:23:26,370
978
+ ุฎู„ุตู†ุง .. ู„ูŠุด ุฃุดุฎุงุต ุฎู…ุณุฉุŸ ุนุณุงุณ ุฅู†ู‡ ุงู„ cardinality
979
+
980
+ 298
981
+ 00:23:26,370 --> 00:23:30,230
982
+ ู„ุฅูŠู‡ุŸ ุงุชู†ูŠู†ุŒ ุชุชุจุงูˆุฑ ุงู„ cardinality ู„ุฅูŠู‡ุŸ ู‚ุงู†ูˆู† ูƒุงู†
983
+
984
+ 299
985
+ 00:23:30,230 --> 00:23:36,550
986
+ ู…ูˆุฌูˆุฏ ูˆู…ุจุงุดุฑ ูŠุนู†ูŠ .. ู…ุจุงุดุฑุŒ ุฎู„ุตู†ุงู‡ุงุŒ ุทูŠุจ ู…ุทู„ูˆุจ ุงู„
987
+
988
+ 300
989
+ 00:23:36,550 --> 00:23:43,140
990
+ cardinality ู„ุฅูŠู‡ุŸ Cartesian product CุŒ ุนุฏุฏ ุงู„ุนู†ุงุตุฑ
991
+
992
+ 301
993
+ 00:23:43,140 --> 00:23:49,120
994
+ ู…ุถุฑูˆุจุฉ ููŠ ุจุนุถุŒ ูุงู„ cardinality ู„ A ู…ุถุฑูˆุจ
995
+
996
+ 302
997
+ 00:23:49,120 --> 00:23:57,500
998
+ ููŠ ุนุฏุฏ ุงู„ cardinality ู„ B ู„ CุŒ A ุฌุฏูŠุดุŸ ุฎู…ุณุฉุŒ ูˆ C ุฎู…ุณุฉ
999
+
1000
+ 303
1001
+ 00:23:57,500 --> 00:24:01,780
1002
+ ุฃู‡ ุดุงูŠููŠู† ููŠู‡ F ู‡ู†ุง ุนู„ู‰ ุงู„ุณุจูˆุฑุฉุŒ ุนู„ู‰ ุญุฏ
1003
+
1004
+ 304
1005
+ 00:24:01,780 --> 00:24:06,080
1006
+ ุงู„ุณุจูˆุฑุฉุŒ ุทูŠุจ ูุฅุฐุง ุฎู…ุณุฉ ููŠ ุฎู…ุณุฉุŒ ุงู„ู…ูุฑูˆุถ ุนุดุงู† ู†ุทู„ุน
1007
+
1008
+ 305
1009
+ 00:24:06,080 --> 00:24:10,000
1010
+ ู‡ู†ุง ุฎู…ุณุฉ ูˆุนุดุฑูŠู†ุŒ ู‡ุฐู‡ ุงู„ุณุคุงู„ ูƒู„ ูุฑุนูŠุฉ ุจุฏุฑุฌุฉุŒ ุฏุฑุฌุฉ
1011
+
1012
+ 306
1013
+ 00:24:10,000 --> 00:24:13,860
1014
+ ุฏุฑุฌุฉุŒ ู‡ูŠ ุฎู…ุณ ุฏุฑุฌุงุชุŒ ู‡ุฏูˆู„ ู‡ูŠูƒ ุงู„ู…ูุฑูˆุถ ุฅู†ู‡ ูƒุงู†ูˆุง ุจุณ
1015
+
1016
+ 307
1017
+ 00:24:13,860 --> 00:24:21,540
1018
+ ุฎู…ุณ ุฏุฑุฌุงุชุŒ ุทูŠุจ ุจุงู„ functionsุŒ ุงู„ functions ู‚ูˆู„ุชู„ูƒูˆุง
1019
+
1020
+ 308
1021
+ 00:24:21,540 --> 00:24:25,400
1022
+ ู‚ุจู„ ู‡ูŠูƒ ุฃู†ุง ู†ุจู‡ุชูƒู…ุŒ ุฏูŠุฑูˆุง ุจุงู„ูƒู…ุŒ ู‡ุฐู‡ ู…ุด ุนู…ู„ูŠุฉ
1023
+
1024
+ 309
1025
+ 00:24:25,400 --> 00:24:30,520
1026
+ ุชุจุฏูŠู„ูŠุฉุŒ ุงู„ compositionุŒ ูุนุดุงู† ู†ูˆุถุญ ู‡ุฐุง ุงู„ูƒู„ุงู… ูƒู†ุง
1027
+
1028
+ 310
1029
+ 00:24:30,520 --> 00:24:37,220
1030
+ ุฌุงูŠุจูŠู† ู‡ู†ุง ู…ุฑุชูŠู†ุŒ ู…ุฑุฉ ู…ุทู„ูˆุจ g compose fุŒ ูˆู…ุฑุฉ
1031
+
1032
+ 311
1033
+ 00:24:37,220 --> 00:24:43,620
1034
+ ุทุงู„ุจูŠู† f compose gุŒ ูู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูˆู‡ุฐู‡ ู„ุญุงู„ู‡ุง ุชู…ุงู…ุงุŒ ู„ุง
1035
+
1036
+ 312
1037
+ 00:24:43,620 --> 00:24:47,460
1038
+ ู‡ุฐู‡ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจู‡ุฐู‡ุŒ ูˆู„ุง ู‡ุฐู‡ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจู‡ุฐู‡ุŒ ูุจุฏู†ุงุด
1039
+
1040
+ 313
1041
+ 00:24:47,460 --> 00:24:51,180
1042
+ ุญุฏ ูŠุฎุฑุจุทู‡ู… ุนู† ุจุนุถุŒ ุนู„ู‰ ุจุนุถุŒ ูŠููƒุฑ ุฌุงุจ ุตูŠุบุฉุŒ ุตูŠุบุฉ ู…ุนูŠู†ุฉ
1043
+
1044
+ 314
1045
+ 00:24:51,180 --> 00:24:55,480
1046
+ ุฃูˆ ู…ุนุงุฏู„ุฉ ู…ุนูŠู†ุฉุŒ ูƒ composition ู„ู„ุงุชู†ูŠู†ุŒ ูˆูŠุนูˆุถ ููŠู‡ู…
1047
+
1048
+ 315
1049
+ 00:24:55,480 --> 00:24:59,220
1050
+ ู…ุฑุฉ ุจุงู„ุงุซู†ูŠู† ูˆู…ุฑุฉ ุจุงู„ุซู„ุงุซุฉุŒ ูˆ ูŠุฑูŠุญ ุฑุฃุณู‡ุŒ ู„ุฃุŒ ู†ุจุฏุฃ
1051
+
1052
+ 316
1053
+ 00:24:59,220 --> 00:25:04,760
1054
+ ุจุญุงู„ุฉุŒ ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ G compose F of ุงุชู†ูŠู†ุŒ ูƒุฃู†ูƒ
1055
+
1056
+ 317
1057
+ 00:25:04,760 --> 00:25:11,340
1058
+ ุจุชู‚ูˆู„ G of F of ุงุชู†ูŠู†ุŒ ุทุฑูŠู‚ุฉ ุจุฏูƒ ุชุญู„ ููŠู‡ุงุŒ ุชูˆูƒู„ ุนู„ู‰
1059
+
1060
+ 318
1061
+ 00:25:11,340 --> 00:25:16,020
1062
+ ุงู„ู„ู‡ุŒ ุญู„ ููŠู‡ุงุŒ ู…ุง ููŠุด ู…ุดูƒู„ุฉุŒ ู„ูƒู† ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุฃุดูŠูƒ ู…ู†
1063
+
1064
+ 319
1065
+ 00:25:16,020 --> 00:25:20,620
1066
+ ู‡ูŠูƒุŒ ุฅู†ูƒ ุฃู†ุช ุชุทู„ุนู‡ุง ุจุตูŠุบุฉุŒ ุชุทู„ุนู‡ุง ุตูŠุบุฉ ูˆุงุถุญุฉ ู‚ุฏุงู…ูƒุŒ ู
1067
+
1068
+ 320
1069
+ 00:25:20,620 --> 00:25:28,770
1070
+ .. ุฃูˆ ุชูƒุชุจู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ูุฃู†ุช ู‡ุชุจุฏุฃ ู…ู† ุงู„ GุŒ ู‡ูŠ ุงู„
1071
+
1072
+ 321
1073
+ 00:25:28,770 --> 00:25:33,390
1074
+ G X ุชุฑุจูŠุน ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุทุจ ุฃู†ุช ุนุงุฑู ุฅู† ุงู„ X ุชุฑุจูŠุน
1075
+
1076
+ 322
1077
+ 00:25:33,390 --> 00:25:35,470
1078
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ input ุจุชุงุนุฉ ุงู„ GุŒ ุงู„ู…ูุฑูˆุถ ู‡ูŠ ุงู„ output
1079
+
1080
+ 323
1081
+ 00:25:35,470 --> 00:25:40,950
1082
+ ุจุชุงุนุฉ FุŒ ูุจุชู…ุณูƒ ุงู„ F ู‡ุฐู‡ ูƒุงู…ู„ุฉุŒ ุจุชุญุทู‡ุง ู…ูƒุงู† ุงู„ X
1083
+
1084
+ 324
1085
+ 00:25:40,950 --> 00:25:45,990
1086
+ ุงู„ู„ูŠ ู‡ู†ุงุŒ ู„ูŠุดุŸ
1087
+
1088
+ 325
1089
+ 00:25:45,990 --> 00:25:49,770
1090
+ ู„ุฃู†ู‡ ู‡ุฐู‡ X ุงู„ inputุŒ F of X ุงู„ outputุŒ ุทุจ ุงู„
1091
+
1092
+ 326
1093
+ 00:25:49,770 --> 00:25:52,930
1094
+ output ุฅูŠุด ุจูŠุณุงูˆูŠุŸ ูƒู„ ู‡ุฐุงุŒ ู‡ุฐุง output ุนู„ู‰ ุจุนุถู‡ ูƒุงู…ู„
1095
+
1096
+ 327
1097
+ 00:25:52,930 --> 00:25:56,230
1098
+ ุงู„ term ูƒู„ู‡ ุนู„ู‰ ุจุนุถู‡ ู‡ูˆ ุงู„ outputุŒ ู‡ูˆ output F
1099
+
1100
+ 328
1101
+ 00:25:56,230 --> 00:26:03,670
1102
+ ูุจุชุญุทู‡ ู…ูƒุงู† input GุŒ ุญุทูŠู†ุงู‡ุง ู…ูƒุงู†ู‡ุŒ ูˆุญู„ู‘ู‡ุงุŒ ุงูุชุญู‡ุง
1103
+
1104
+ 329
1105
+ 00:26:03,670 --> 00:26:07,610
1106
+ ุฎู„ุงุตุŒ ู„ูˆ ุนูˆุถุช ููŠ ุงู„ุซู„ุงุซุฉุŒ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณ ุงู„ู†ุงุชุฌ
1107
+
1108
+ 330
1109
+ 00:26:07,610 --> 00:26:15,310
1110
+ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณ ุงู„ู†ุงุชุฌุŒ ุฌูŠุฏุŒ ุทูŠุจ ุงู„ุซุงู†ูŠุฉ ุจุฑุถู‡ ู†ูุณ
1111
+
1112
+ 331
1113
+ 00:26:15,310 --> 00:26:18,210
1114
+ ุงู„ููƒุฑุฉุŒ ุจุฏูƒ ุชุนู…ู„ู‡ุง ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุณุฑูŠุนุฉุŒ ู‡ูŠูƒ ุชุนูˆุถ ุนู„ู‰
1115
+
1116
+ 332
1117
+ 00:26:18,210 --> 00:26:22,900
1118
+ ู…ุฑุญู„ุชูŠู†ุŒ ุนูˆุถุŒ ู…ุด ู‡ู‚ูˆู„ูƒ ู„ุฃุŒ ุจุณ ุงู„ุทุฑูŠู‚ุฉ ุฒูŠ ู…ุง ู‚ู„ุชู‡ุŒ ูƒู„
1119
+
1120
+ 333
1121
+ 00:26:22,900 --> 00:26:26,640
1122
+ ุฃุดูŠุงุกุŒ ูƒู„ ุฃุญุณู†ุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุจุฏูƒ ุชุฏุฑุจ ุญุงู„ูƒ ุนู„ู‰ ุฃุณุงุณ ุฃู†
1123
+
1124
+ 334
1125
+ 00:26:26,640 --> 00:26:30,580
1126
+ ุฃู†ุช ุจุงู„ุธุจุท ุจุฏูƒ ุชุจุฑู…ุฌุŒ ูู‡ุฏูˆู„ ูŠุทู„ุนูˆุง ู…ุนุงุฏู„ุฉุŒ ู„ูˆ ุงู†ุทู„ุจ
1127
+
1128
+ 335
1129
+ 00:26:30,580 --> 00:26:35,480
1130
+ ู…ู†ูƒ ุฃุฑู‚ุงู… ุฃุฎุฑู‰ุŒ ู…ุง ุชู‚ุนุฏุด ุชุนูˆุถ ูƒู„ ู…ุฑุฉ ููŠ ู…ุนุงุฏู„ุชูŠู†ุŒ
1131
+
1132
+ 336
1133
+ 00:26:35,480 --> 00:26:43,090
1134
+ ูู†ูุณ ุงู„ููƒุฑุฉ ุจุชุนู…ู„ู‡ุง ููŠ ุดูƒู„ .. F ุงู„ุฃูˆู„ุŒ ูˆู…ูƒุงู† ุงู„ X
1135
+
1136
+ 337
1137
+ 00:26:43,090 --> 00:26:48,810
1138
+ ุจุชุงุนุฉ ุงู„ F ุจุชุญุท ู‚ูŠู…ุฉ GุŒ ู‚ูŠู…ุฉ ุงู„ G ู…ูƒุงู†ู‡ุงุŒ ูˆ ุจุชููƒููƒ
1139
+
1140
+ 338
1141
+ 00:26:48,810 --> 00:26:51,990
1142
+ ุจุณ ุงู„ู…ุนุงุฏู„ุฉ ุชุจุนุชูƒุŒ ูˆุงู†ุชู‡ุชุŒ ู„ูˆ ุนูˆุถุช ููŠู‡ุงุŒ ุฏู‡ ุงู„ูƒู„ุงู…
1143
+
1144
+ 339
1145
+ 00:26:51,990 --> 00:26:59,510
1146
+ ู‡ูŠุทู„ุน ุจุฑุถู‡ ู†ูุณ ุงู„ .. ุงู„ู†ุงุชุฌุŒ ูƒู†ุชุฌุŒ ุฌูŠุฏุŒ ู†ุชุตุนุฏ ุดูˆูŠุฉ
1147
+
1148
+ 340
1149
+ 00:26:59,510 --> 00:27:04,830
1150
+ ุจุงู„ุฃุณุฆู„ุฉุŒ ู‡ุงูŠ ูƒู…ุงู† ุณุคุงู„ ูƒุงู† ู…ูˆุฌูˆุฏุŒ ู…ุทู„ูˆุจ decision
1151
+
1152
+ 341
1153
+ 00:27:04,830 --> 00:27:09,130
1154
+ ู…ู†ูƒุŒ ู‡ู„ ุงู„ F of X ุชุณุงูˆูŠ
1155
+
1156
+ 342
1157
+ 00:27:10,380 --> 00:27:23,000
1158
+ x plus one over x plus twoุŒ ุจูŠุฌูŠูƒุดู† ูˆู„ุง ู„ุฃุŸ ู„ูŠุดุŸ
1159
+
1160
+ 343
1161
+ 00:27:23,000 --> 00:27:26,540
1162
+ ุจูŠุฌูŠูƒุดู†
1163
+
1164
+ 344
1165
+ 00:27:26,540 --> 00:27:32,140
1166
+ ูŠุนู†ูŠ one to oneุŒ ูˆ one to oneุŒ ุทูŠุจ ู‡ูŠูƒ ููƒุฑ ููŠู‡ุงุŒ one
1167
+
1168
+ 345
1169
+ 00:27:32,140 --> 00:27:35,020
1170
+ to oneุŒ ูˆ one to oneุŒ ููŠ ุงู„ุณุคุงู„ ุงู„ุงุซู†ูŠู† ู…ูˆุฌูˆุฏ ููŠ
1171
+
1172
+ 346
1173
+ 00:27:35,020 --> 00:27:41,540
1174
+ ุงู„ูุฑุถุงู†ุŒ ู„ู…ุง ู†ุนูƒุณุŒ ู…ุด ู‡ูŠูƒูˆู† ููŠ ุงู„ุฏู…ูŠุฉุŒ ุตุญูŠุญุŒ ุฃู†ุช ู„ูˆ
1175
+
1176
+ 347
1177
+ 00:27:41,540 --> 00:27:43,420
1178
+ ู…ุง ุจุชูŠุฌูŠ ุชุฑุณู…ู‡ุงุŒ ุญุชู‰ ู„ูˆ ู…ุง ุจุชูŠุฌูŠ ุชุชุทู„ุน ุนู„ู‰ ุงู„ behavior
1179
+
1180
+ 348
1181
+ 00:27:43,420 --> 00:27:48,120
1182
+ ุชุจุนู‡ุงุŒ ู‡ุชู„ุงู‚ูŠู‡ุง ูุนู„ูŠุง ุชุตุงุนุฏูŠุฉุŒ ูˆุจุนุฏูŠู† ุชุตุงุนุฏูŠุฉ
1183
+
1184
+ 349
1185
+ 00:27:48,120 --> 00:27:54,440
1186
+ ุงู„ู…ุดูƒู„ุฉ ุนู†ุฏ ุณุงู„ุจ ุงุซู†ูŠู†ุŒ ุนู†ุฏ
1187
+
1188
+ 350
1189
+ 00:27:54,440 --> 00:28:02,840
1190
+ ุณุงู„ุจ ุงุซู†ูŠู†ุŒ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ู‡ู†ุงุŸ ุฅู† ู‡ูŠ ู„ู‡ุง ู‚ูŠู…ุชูŠู†ุŒ ูŠุนู†ูŠ
1191
+
1192
+ 351
1193
+ 00:28:02,840 --> 00:28:06,740
1194
+ ู‡ูŠ ู…ุด function ุฃุตู„ุงุŒ ูŠุนู†ูŠ ุนู†ุฏ ุณุงู„ุจ ุงุซู†ูŠู† ู‡ูŠ ู„ูŠุณุช
1195
+
1196
+ 352
1197
+ 00:28:06,740 --> 00:28:11,160
1198
+ functionุŒ ููƒูŠู ุจุฏู‡ ุฃู‚ูˆู„ ุฅู† ู‡ูŠ bijection functionุŒ ูˆู‡ูŠ
1199
+
1200
+ 353
1201
+ 00:28:11,160 --> 00:28:16,220
1202
+ ุฃุตู„ุง ุนู†ุฏ ุณุงู„ุจ ุงุซู†ูŠู† ู…ุง ู‡ูŠ functionุŒ ุงุญู†ุง ู„ู…ุง
1203
+
1204
+ 354
1205
+ 00:28:16,220 --> 00:28:19,520
1206
+ ุงุชูƒู„ู…ู†ุง ุงู„ู…ุฑุฉ ุงู„ุณุงุจู‚ุฉุŒ ู‚ูˆู„ู†ุง ุฅู† ู„ุฃุŒ ู‡ูŠ ู…ุด function
1207
+
1208
+ 355
1209
+ 00:28:19,520 --> 00:28:24,640
1210
+ ุจุชู†ูุนุดุŒ ู„ูƒู† ุจุงุณุชุซู†ุงุก ุณุงู„ุจ ุงุซู†ูŠู†ุŒ ู‡ูŠ ุชุตุงุนุฏูŠุฉุŒ ู‡ู†ุง ุงู‡
1211
+
1212
+ 356
1213
+ 00:28:24,640 --> 00:28:28,420
1214
+ ู‡ุฐู‡ ุชุตุงุนุฏูŠุฉุŒ ู‡ู†ุงูƒ ูƒุงู† ุงู„ูˆุงุญุฏ ุนู„ู‰ ุงูƒุณุŒ ุชู†ุงุฒู„ูŠุฉุŒ ุชู†ู‚ุตูŠุฉ
1215
+
1216
+ 357
1217
+ 00:28:28,420 --> 00:28:33,820
1218
+ ุจุงุณุชุซู†ุงุก ุนู†ุฏ ุตูุฑุŒ ู„ูƒู† ู„ุฃุŒ ุฅุฐุง ุจุฏู†ุงุด ู†ุณุชุซู†ูŠ ุตูุฑุŒ ู…ุนู†ุงุชู‡
1219
+
1220
+ 358
1221
+ 00:28:33,820 --> 00:28:38,740
1222
+ ุชู‚ูˆู„ู‡ุง ุจุชู†ูุนุด ุฃุตู„ุงุŒ ู„ุฃู† ู‡ูŠ ู…ุด function ุฃุณุงุณุง ููŠ
1223
+
1224
+ 359
1225
+ 00:28:38,740 --> 00:28:43,080
1226
+ ุงู„ุณุงู„ุจ ุงุซู†ูŠู† ู‡ู†ุงุŒ ูุฅุฐุง ู„ุฃุŒ ู‡ูŠ ู…ุด bijectionุŒ ู‡ูŠ ู„ูŠุณุช
1227
+
1228
+ 360
1229
+ 00:28:43,080 --> 00:28:47,600
1230
+ bijectionุŒ ุงู„ุณุคุงู„ ุงู„ุซุงู†ูŠ ูƒุงู† ูุฑุน ู…ุนุงู‡ุง ุจุฑุถู‡ ู†ูุณ
1231
+
1232
+ 361
1233
+ 00:28:47,600 --> 00:28:49,900
1234
+ ุงู„ููƒุฑุฉ ุนู† ุงู„ functions ุงู„ู„ูŠ ูƒู†ุง ู†ุชูƒู„ู…ุŒ ููƒุงู† ูุฑุน ุจูŠู‡
1235
+
1236
+ 362
1237
+ 00:28:49,900 --> 00:28:54,220
1238
+ ู…ู† ู†ูุณ ุงู„ุณุคุงู„ุŒ ู‚ุฑูŠุจ ู…ู† ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุฌุงุจ ู„ู‡ุŒ ุจุณ ู‡ุฐุง ูƒุงู†
1239
+
1240
+ 363
1241
+ 00:28:54,220 --> 00:28:57,390
1242
+ ููŠ ุงู…ุชุญุงู†ุŒ ูˆู‡ุฐุง ุงู…ุชุญุงู† ุซุงู†ูŠุŒ ูƒู„ ูˆุงุญุฏ ููŠ ุงู…ุชุญุงู† ู†ูุณ
1243
+
1244
+ 364
1245
+ 00:28:57,390 --> 00:29:01,530
1246
+ ุงู„ุดุบู„ุŒ G of X givenุŒ ุนู†ุฏูƒ F of X givenุŒ ุนู†ุฏูƒุŒ ูˆู…ุทู„ูˆุจ F
1247
+
1248
+ 365
1249
+ 00:29:01,530 --> 00:29:07,850
1250
+ compose G of 2ุŒ ู†ูุณ ุงู„ููƒุฑุฉุŒ ุจุฏูƒ ุชุนู…ู„ ู…ุจุงุดุฑุŒ ุงุนู…ู„ุŒ ุจุฏูƒ
1251
+
1252
+ 366
1253
+ 00:29:07,850 --> 00:29:12,930
1254
+ ุชุนู…ู„ ู…ุนุงุฏู„ุฉุŒ ู…ุนุงุฏู„ุฉ ุงู„ compositionุŒ ุงุนู…ู„ ุงู„ุงุซู†ูŠู† ุจุธุจุท
1255
+
1256
+ 367
1257
+ 00:29:12,930 --> 00:29:18,190
1258
+ 132
1259
+
1260
+ 368
1261
+ 00:29:18,190 --> 00:29:23,520
1262
+ ุจุฏูƒ ุชุนูˆุถ ููŠ ุงู„ุงุซู†ูŠู†ุŒ ู‡ู†ุง ูˆู‡ู†ุงุŒ ู‡ุชุจุฏุฃ ุชุนูˆุถุŒ ูˆูŠู†ููŠ ุงู„
1263
+
1264
+ 369
1265
+ 00:29:23,520 --> 00:29:28,140
1266
+ GุŒ ู‡ุชุจุฏุฃ ููŠ G ุงู„ุฃูˆู„ุŒ ูุฎุฐูˆุง ุจุงู„ูƒู…ุŒ ููŠ ุจุนุถ ุงู„ุทู„ุงุจ
1267
+
1268
+ 370
1269
+ 00:29:28,140 --> 00:29:31,740
1270
+ ุฃุญูŠุงู†ุง ุจูŠุบู„ุทูˆุง ุจุบู„ุทู‡ ููŠ ุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡ุŒ ุฅู†ู‡ ุจุจุฏุฃ ุชุนูˆูŠุถู‡
1271
+
1272
+ 371
1273
+ 00:29:31,740 --> 00:29:42,640
1274
+ ููŠ FุŒ ูุชุฃุฎุฐ ุจุงู„ูƒุŒ ู‡ูŠ ู…ูŠู† ุงู„ function ู„ู…ูŠู†ุŒ ุชู…ุงู…ุŒ ู†ูุณ
1275
+
1276
+ 372
1277
+ 00:29:42,640 --> 00:29:51,000
1278
+ ุงู„ุฌุซุฉุŒ ู‡ูŠุŒ ููŠ ุนู†ุฏู†ุง F from positive real to positive
1279
+
1280
+ 373
1281
+ 00:29:51,000 --> 00:29:57,380
1282
+ real for f of xุŒ three x squared plus twoุŒ ู‡ู„ ู‡ูŠ one
1283
+
1284
+ 374
1285
+ 00:29:57,380 --> 00:30:02,940
1286
+ to oneุŸ ู‡ู„ ู‡ูŠ ontoุŸ justify your answerุŒ ูŠุนู†ูŠ ู…ุง
1287
+
1288
+ 375
1289
+ 00:30:02,940 --> 00:30:08,800
1290
+ ุชู‚ูˆู„ ู„ูŠ one to oneุŒ ูˆุชุณูƒุชุŒ ู„ูŠุด one to oneุŸ ู…ุง ุชู‚ูˆู„ ู„ูŠ
1291
+
1292
+ 376
1293
+ 00:30:08,800 --> 00:30:11,930
1294
+ ู„ุง ู„ุง ู‡ูŠ ู…ุด ontoุŒ ุทุจ ู„ูŠุด ู…ุด ontoุŸ ูˆู„ุง ู‡ูŠ ุจุณ
1295
+
1296
+ 377
1297
+ 00:30:11,930 --> 00:30:15,030
1298
+ ุนูŠู†ูƒ ุฌุงุจุชู‡ุง ู…ุน ุงู„ูˆุฑู‚ุฉ ุงู„ู„ูŠ ุฌู†ุจูƒุŒ ุฃู†ุชู… ูุฎู„ุต ู‡ูŠ
1299
+
1300
+ 378
1301
+ 00:30:15,030 --> 00:30:20,830
1302
+ ุฃู†ุชู…ุŒ ุฎู„ุตู†ุงุŒ ุงุญูƒูŠ ู„ูŠ ุจุณ ู„ูŠุดุŸ ูƒูˆูŠุณุŒ ู†ุจุฏุฃ ุดูˆูŠุฉ ุดูˆูŠุฉุŒ yes
1303
+
1304
+ 379
1305
+ 00:30:20,830 --> 00:30:28,910
1306
+ or noุŒ yes or noุŒ ู…ุจุฏุฃูŠุง ุฎู„ูŠู†ุง .. ุงู‡ ุงู„ู„ูŠ ู‡ูŠ ุจุฏุฃู†ุง
1307
+
1308
+ 380
1309
+ 00:30:28,910 --> 00:30:35,650
1310
+ ุงุญู†ุง .. ู‡ูŠ yes or noุŒ ู‡ุฐู‡ ุดูƒู„ู‡ุง ุฃูˆู„ ุดูŠุก linearุŒ ุนููˆุง
1311
+
1312
+ 381
1313
+ 00:30:35,650 --> 00:30:36,230
1314
+ ุงู„ู„ูŠ ู„ุฃุŒ ู…ุด linear
1315
+
1316
+ 382
1317
+ 00:30:45,180 --> 00:30:57,840
1318
+ ุจุงุฏูŠุฉ ู…ู† ุนู†ุฏ ุงุซู†ูŠู†ุŒ ู…ู† ุนู†ุฏ ุงุซู†ูŠู† ู‡ูŠ
1319
+
1320
+ 383
1321
+ 00:30:57,840 --> 00:31:09,120
1322
+ ุดูƒู„ู‡ุง ุจุณุŒ ูู‡ูŠ ุชุตุงุนุฏูŠุฉุŒ ุชุตุงุนุฏูŠุฉุŒ ุตุญุŸ ูˆุงุถุญ ุฅู†ูŠ
1323
+
1324
+ 384
1325
+ 00:31:09,120 --> 00:31:12,700
1326
+ ู…ุง ู„ูƒุด ุนู„ุงู‚ุฉ ุจุงู„ุชุฑุจูŠุนุŒ ุฃู†ุง ุงู„ domain ู…ุญุฏุฏุฉ ู…ู† ุงู„ุฃูˆู„
1327
+
1328
+ 385
1329
+ 00:31:12,700 --> 00:31:19,620
1330
+ positiveุŒ ุงู„ domain ู…ู† ุงู„ุฃุณุงุณ positive
1331
+
1332
+ 386
1333
+ 00:31:19,620 --> 00:31:25,640
1334
+ ูƒุงู†ุŒ ุงู‡ุŒ ูƒุงู† ู‚ูˆู„ุช ู„ุฃุŒ ู…ุนู†ุงุชู‡ ู‡ุงู†ูŠ ู‡ูŠูƒ ู‡ูŠ ู„ูŠุณุช
1335
+
1336
+ 387
1337
+ 00:31:25,640 --> 00:31:28,540
1338
+ ุงู„ุชุตุงุนุฏูŠุฉุŒ ูˆ ุจุณ ู‡ูŠ ุชู†ุงู‚ุตูŠุฉ ููŠ ุงู„ุจุฏุงูŠุฉุŒ ูˆุจุนุฏูŠู†
1339
+
1340
+ 388
1341
+ 00:31:28,540
1342
+
1343
+ 445
1344
+ 00:36:49,960 --> 00:36:55,300
1345
+ ู‡ูŠ ุงู„ู€ identity ุฅูŠู‡ ูƒุงู† ุงู„ู…ูุฑูˆุถ ูˆ ู†ูุณ ุงู„ูƒู„ุงู… if to
1346
+
1347
+ 446
1348
+ 00:36:55,300 --> 00:36:57,480
1349
+ the power minus one compose if ุงู„ู…ูุฑูˆุถ ุจุฑุถู‡
1350
+
1351
+ 447
1352
+ 00:36:57,480 --> 00:37:01,820
1353
+ identity ู†ูุณ ุงู„ุฌูู…ู„ุฉ ุทูŠุจ ุจู†ูุณ ุงู„ู„ูŠ ุงู„ู„ูŠ ุทุจุนู‹ุง ุนู…ู„ู†ุงู‡ุง
1354
+
1355
+ 448
1356
+ 00:37:01,820 --> 00:37:05,940
1357
+ ู„ูˆ ุนู…ู„ู†ุง ู†ูุณ ุงู„ูƒู„ุงู… ู‡ู„ ูุนู„ุงู‹ ู…ุธุจูˆุท ู‡ุฐุง ุงู„ู€ term ู‡ุฐุง
1358
+
1359
+ 449
1360
+ 00:37:05,940 --> 00:37:07,320
1361
+ ูŠูƒูˆู† ู…ูƒุงู† x
1362
+
1363
+ 450
1364
+ 00:37:10,550 --> 00:37:13,550
1365
+ ุฎู…ุณุฉ ู…ุน ุงู„ุฎู…ุณุฉ ูˆ minus ุชู…ุงู†ูŠุฉ ู…ุน ุชู…ุงู†ูŠุฉ ูุจูŠุทู„ุน ูˆุงุญุฏ
1366
+
1367
+ 451
1368
+ 00:37:13,550 --> 00:37:17,930
1369
+ ูˆุงู„ุนูƒุณ ุตุญูŠุญ ู„ูˆ ู‡ุฐุง ุงู„ู€ term ู‡ูˆ ุงู„ู„ูŠ ุญุทูŠุชู‡ ู…ูƒุงู† x
1370
+
1371
+ 452
1372
+ 00:37:17,930 --> 00:37:21,190
1373
+ ุชู…ุงู†ูŠุฉ
1374
+
1375
+ 453
1376
+ 00:37:21,190 --> 00:37:23,270
1377
+ ู‡ุชุฑูˆุญ ู…ุน ุงู„ุชู…ุงู†ูŠุฉ ูˆุงู„ุฎู…ุณุฉ ู…ุน ุงู„ุฎู…ุณุฉ ูˆุจุนุฏูŠู† ุจุชุถู„
1378
+
1379
+ 454
1380
+ 00:37:23,270 --> 00:37:30,610
1381
+ x ูุจูŠุถู„ ุจุฑุถู‡ one ูˆุงุญุฏ ูุฅุฐู† ู…ุธุจูˆุท ูุฅุฐู† ุฎู„ุงุต ุตุญ ูุฅุฐู†
1382
+
1383
+ 455
1384
+ 00:37:30,610 --> 00:37:35,270
1385
+ ุตุญูŠุญ ุทูŠุจ ู…ู† ุงู„ุญุงุฌุงุช ุงู„ู…ู‡ู…ุฉ ุงู„ู„ูŠ ุดูู†ุงู‡ุง ููŠ ู‡ุฐุง
1386
+
1387
+ 456
1388
+ 00:37:35,270 --> 00:37:36,590
1389
+ ุงู„ู…ูˆุถูˆุน ุฃู†ู‡
1390
+
1391
+ 457
1392
+ 00:37:39,040 --> 00:37:45,860
1393
+ ู‡ู†ุง ุงุนุชุจุฑูˆุง ู‡ูŠ ู†ูุณู‡ุง inverse ูˆ ุฎู„ุงุต ุฃู†ุง ู…ุงูู‡ู…ุชุด
1394
+
1395
+ 458
1396
+ 00:37:45,860 --> 00:37:49,920
1397
+ ุทุจุนู‹ุง ูƒูŠู ู…ู…ูƒู† ุญุฏุง ูŠููƒุฑ ุฅู† ู‡ูŠ ู†ูุณู‡ุง ุชูƒูˆู† inverse
1398
+
1399
+ 459
1400
+ 00:37:49,920 --> 00:37:53,460
1401
+ ู„ู†ูุณู‡ุง ูˆ ุฎู„ุงุต ู…ุง ุนุฑูุชุด ูƒูŠู ุงู„ู…ู‡ู… ุฅู†ู‡ ุฃูƒูŠุฏ ู‡ุชูƒูˆู† ุบู„ุท
1402
+
1403
+ 460
1404
+ 00:37:53,460 --> 00:37:57,440
1405
+ ุงู„ู€ inverse ุจุชุนู…ู„ู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุชุนูƒุณ X ู…ุน Y ูˆุจุชุดูˆู
1406
+
1407
+ 461
1408
+ 00:37:57,440 --> 00:38:01,560
1409
+ ุจุฏู„ุงู„ุฉ X ู†ูุณ ุงู„ุฃุดูŠุงุก ุชู…ุงู…
1410
+
1411
+ 462
1412
+ 00:38:04,850 --> 00:38:15,630
1413
+ Okay ูู‡ูŠ ู‚ูŠู…ุฉ ุงู„ู€ term ุงู„ู„ูŠ ู‚ู„ู†ุง ุนูƒุณ
1414
+
1415
+ 463
1416
+ 00:38:15,630 --> 00:38:21,510
1417
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1418
+
1419
+ 464
1420
+ 00:38:21,510 --> 00:38:21,750
1421
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1422
+
1423
+ 465
1424
+ 00:38:21,750 --> 00:38:21,910
1425
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1426
+
1427
+ 466
1428
+ 00:38:21,910 --> 00:38:22,130
1429
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1430
+
1431
+ 467
1432
+ 00:38:22,130 --> 00:38:25,630
1433
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1434
+
1435
+ 468
1436
+ 00:38:25,630 --> 00:38:32,310
1437
+ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ ุนูƒุณ
1438
+
1439
+ 469
1440
+ 00:38:37,370 --> 00:38:41,870
1441
+ ุนูˆุถ ุงู„ู†ู‚ุงุท ุนุฑููƒ ุดูˆู
1442
+
1443
+ 470
1444
+ 00:38:41,870 --> 00:38:44,790
1445
+ ุจุฏู‡ ูŠุนูˆุถ ุงู„ู†ู‚ุงุท ูŠุนูˆุถ ุงู„ู†ู‚ุงุท ุจุณ ุงู„ู€ุทุฑูŠู‚ุฉ ุงู„ุฃุดูŠุงุก ุฅู†
1446
+
1447
+ 471
1448
+ 00:38:44,790 --> 00:38:47,070
1449
+ ุงุญู†ุง ู†ุณุชุฎุฏู… ุงู„ู€ composition ูˆุฃุฑูŠุญ ุฃู†ุช ุจุฏู‡ ุฒูŠ ู…ุง
1450
+
1451
+ 472
1452
+ 00:38:47,070 --> 00:38:52,390
1453
+ ู‚ู„ุช ู„ูƒ ุชู‚ูˆู…ุด ูŠู‚ูˆู„ู†ุง ุนูˆุถ ุจู†ู‚ุทุฉ ุฃู†ุช ุญุฑ ุนูˆุถ ุนูˆุถ ููŠ
1454
+
1455
+ 473
1456
+ 00:38:52,390 --> 00:38:54,850
1457
+ ุงู„ู†ู‡ุงูŠุฉ ุฃู†ุง ุฅูŠุด ุงู„ู„ูŠ ุจู‡ู…ู†ูŠ ุฃู†ุง ุงู„ู„ูŠ ุทุงู„ุจ ู…ู†ูƒ ุงู„ู€
1458
+
1459
+ 474
1460
+ 00:38:54,850 --> 00:39:01,170
1461
+ inverse ุฃู†ุช ูƒูŠู ุนู…ู„ุช check ุฅู†ู‡ ุตุญ ู‡ุฐู‡ ุณุบู„ูƒ ุฃู†ุช ูƒูŠู
1462
+
1463
+ 475
1464
+ 00:39:01,170 --> 00:39:06,170
1465
+ ุชุชุฃูƒุฏ ุฅู† ุฅุฌุงุจุชูƒ ุตุญ ุดูˆู ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุจุชู†ุงุณุจูƒ ุฃู…ุง
1466
+
1467
+ 476
1468
+ 00:39:06,170 --> 00:39:10,190
1469
+ ุงู„ุณุคุงู„ ูƒุงู† ุทุงู„ุจ inverse okay ุฌุจู†ุง ุงู„ู€ inverse ุงู„ุขู†
1470
+
1471
+ 477
1472
+ 00:39:10,190 --> 00:39:13,830
1473
+ ู…ุง ูƒู…ู„ู†ุงุด ุงุญู†ุง ุจุนุฏ ู‡ูŠูƒ ู„ูƒู† ู‚ู„ู†ุง ุนุดุงู† ุชุนู…ู„ check ุชูƒูˆู†
1474
+
1475
+ 478
1476
+ 00:39:13,830 --> 00:39:17,450
1477
+ ู…ุทู…ุฆู† ุจุฏูƒ ุชุนู…ู„ composition ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู…ุน ุงู„ู…ุนุงุฏู„ุฉ
1478
+
1479
+ 479
1480
+ 00:39:17,450 --> 00:39:21,030
1481
+ ุงู„ุฃุตู„ูŠุฉ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ูˆุงุญุฏ ุฃูˆ ุงู„ุฃุตู„ูŠุฉ ู…ุนุงู‡ุง ูŠุทู„ุน
1482
+
1483
+ 480
1484
+ 00:39:21,030 --> 00:39:24,130
1485
+ ุจุฑุถู‡ ูˆุงุญุฏ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฅุฐุง ูƒุงู† ููŠ ุฅู„ู‡ุง inverse ูู…ุนู†ู‰
1486
+
1487
+ 481
1488
+ 00:39:24,130 --> 00:39:29,180
1489
+ ุฐู„ูƒ ุฅู†ู‡ ุงู„ู€ composition ุจุตูŠุฑ ุชุจุงุฏู„ ู…ุงููŠู‡ุง ู…ุดูƒู„ุฉ ู…ูŠู† ุฌุงุจ
1490
+
1491
+ 482
1492
+ 00:39:29,180 --> 00:39:33,240
1493
+ ุงู„ู…ูŠู† ู…ุด ู‡ุชูุฑู‚ุŒ ู‡ูŠุนุทูŠู†ูŠ identity ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ู€
1494
+
1495
+ 483
1496
+ 00:39:33,240 --> 00:39:36,400
1497
+ identity ุฃู†ุช ุจุฏูƒ ุชุนู…ู„ู‡ุง ูˆ ุงู„ู„ู‡ ุจุชุนู…ู„ check ู‡ู†ุง
1498
+
1499
+ 484
1500
+ 00:39:36,400 --> 00:39:40,680
1501
+ ุนู„ู‰ ุงู„ู…ุนุงุฏู„ุงุช ูู‡ูŠูƒ ูŠุนู†ูŠ ู…ุด ุฅุดูƒุงู„ ู…ุด ุฅุดูƒุงู„ ุทูŠุจ
1502
+
1503
+ 485
1504
+ 00:39:40,680 --> 00:39:43,300
1505
+ ุงู„ุณุคุงู„ ู‡ู†ุง ุฃู†ุง ุดุงูŠู ุจุณ ุนุฑู ู„ูŠุด ู‡ูˆ ุงู„ู€ one to one ุนุฑู
1506
+
1507
+ 486
1508
+ 00:39:43,300 --> 00:39:47,140
1509
+ ุงู„ู€ one to one ุทูŠุจ ุจุณ ูŠุนู†ูŠ ู‡ุฐุง ุจุงู„ุฐุงุช ูŠุนุชุจุฑ ุทูŠุจ
1510
+
1511
+ 487
1512
+ 00:39:47,140 --> 00:39:54,470
1513
+ ุตุญูŠุญ ุฃู†ุช ู…ุด ุฑุณู…ุชู‡ุง ุงู„ุฑุณู…ุฉ ูˆุงุถุญุฉ ูˆู„ุง ู…ุด ูˆุงุถุญุฉุŸ ูˆุงุถุญุฉ
1514
+
1515
+ 488
1516
+ 00:39:54,470 --> 00:39:57,890
1517
+ ุฌุฏุงู‹ ุฃู†ุช ุจุฏูƒ ุชุฒูŠุฏ ุฃูƒุซุฑ ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ุงุชูู‡ู… ุฅู†ูƒ ุฃู†ุช
1518
+
1519
+ 489
1520
+ 00:39:57,890 --> 00:40:01,250
1521
+ ูุงู‡ู… ุฑูŠุงุถูŠุฉ ุฃูƒุซุฑ ุชู‚ูˆู„ูŠ ูˆุงู„ู„ู‡ ู…ุนุฑูˆูุฉ ุฅู† ูƒู„ ุงู„ู€
1522
+
1523
+ 490
1524
+ 00:40:01,250 --> 00:40:07,650
1525
+ linear ู‡ูŠ one to one ู‡ู‚ูˆู„ ู„ูƒ ู…ุง ู…ุธุจูˆุท yes ูƒู„ ุงู„ู€
1526
+
1527
+ 491
1528
+ 00:40:07,650 --> 00:40:13,550
1529
+ linear ู…ุฏุงู… ู‡ูŠ linear ุจู‡ุฐุง ุงู„ุดูƒู„ ูู‡ูŠ ุจุชุบุทูŠ ุฅุฐุง
1530
+
1531
+ 492
1532
+ 00:40:13,550 --> 00:40:17,490
1533
+ ูƒุงู†ุช ู„ูŠุณุช constant ู„ุฃู† ุงู„ู€ constant ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ
1534
+
1535
+ 493
1536
+ 00:40:17,490 --> 00:40:22,700
1537
+ ุณุงุนุชู‡ุง ุจุชู‚ุฏุฑุด ุชู‚ูˆู„ ุฅู†ู‡ ู‡ูŠุบุทูŠ ุงู„ู€ code main ุตุญูŠุญุŸ
1538
+
1539
+ 494
1540
+ 00:40:22,700 --> 00:40:26,960
1541
+ ูุฅู„ู‡ุง ู…ูŠู„ ุงู„ู€ ู…ูŠู„ ู„ุง ูŠุณุงูˆูŠ ุตูุฑุŒ ู…ุฏุงู… ุงู„ู€ ู…ูŠู„ ู„ุง
1542
+
1543
+ 495
1544
+ 00:40:26,960 --> 00:40:30,620
1545
+ ูŠุณุงูˆูŠ ุตูุฑ ูุฃูƒูŠุฏ ู‡ูŠุตู„ ู…ู† minus infinity to infinity
1546
+
1547
+ 496
1548
+ 00:40:30,620 --> 00:40:34,600
1549
+ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ุฅู†ู‡ ูŠูƒูˆู† linear ูˆูŠูƒูˆู† ุจู‡ุฐุง ุงู„ุดูƒู„
1550
+
1551
+ 497
1552
+ 00:40:34,600 --> 00:40:42,060
1553
+ ูู‡ูˆ ู…ุบุทุงุด ู…ู† minus infinity to infinity ุฃู…ุง ุฅุฐุง
1554
+
1555
+ 498
1556
+ 00:40:42,060 --> 00:40:48,040
1557
+ ูƒุงู† ุงู„ู€ ู…ูŠู„ ุชุจุนู‡ ู…ูˆุฌุจ ุฃูˆ ุณุงู„ุจุŒ ุจุบุถ ุงู„ู†ุธุฑ ู‚ุฏ ุงูŠุด ูŠุนู†ูŠ
1558
+
1559
+ 499
1560
+ 00:40:48,040 --> 00:40:52,530
1561
+ ุฃู‚ูˆู„ ู„ูƒ ุญุชู‰ ู„ูˆ ุงูุชุฑุถู†ุง ุฃู† ุงู„ู€ ู…ูŠู„ ูŠุฏูˆุจ ู…ูŠู„ ุจุณูŠุท ุฌุฏุงู‹
1562
+
1563
+ 500
1564
+ 00:40:52,530 --> 00:40:58,530
1565
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ู…ุซู„ุงู‹ ุตุญูŠุญ ููŠ ุงู„ู€ infinity ู‡ูŠูƒูˆู† ูˆุตู„ ู‡ู†ุง
1566
+
1567
+ 501
1568
+ 00:40:58,530 --> 00:41:01,870
1569
+ ุงู„ู€ infinity ููŠ ุงู„ู€ minus infinity ู‡ูŠูƒูˆู† ูˆุตู„ ู…ุนุงูƒ
1570
+
1571
+ 502
1572
+ 00:41:01,870 --> 00:41:07,430
1573
+ ู‡ู†ุง ุงู„ู€ minus infinity ูุบุทู‰ ู„ูƒ ุงู„ู€ code main ูƒู€
1574
+
1575
+ 503
1576
+ 00:41:07,430 --> 00:41:11,450
1577
+ range ุบุทู‰ ุงู„ู€ code main ุชู…ุงู… ูุงู„ู€ linear ุณู‡ู„ุฉ ุงู„ู€
1578
+
1579
+ 504
1580
+ 00:41:11,450 --> 00:41:14,670
1581
+ linear ุณู‡ู„ุฉ ุงู„ุฃู‡ู… ุฅู†ู‡ุง ุจุณ ู…ุง ุชูƒูˆู†ุด ุงู„ู…ูŠู„ ูŠุจู‚ู‰ 0
1582
+
1583
+ 505
1584
+ 00:41:15,750 --> 00:41:19,090
1585
+ ุงู„ู…ูŠู„ ูŠุจู‚ู‰ ุตูุฑ ู„ุฃ ู‡ู†ุง ููŠู‡ ู…ุดูƒู„ุฉ ู„ุฃู†ู‡ ู…ุด .. ู„ุฃ
1586
+
1587
+ 506
1588
+ 00:41:19,090 --> 00:41:21,230
1589
+ function ุนุงุฏูŠ function ู„ุฃ ู„ุฃ function ุนุงุฏูŠุฉ ุฌุฏุงู‹
1590
+
1591
+ 507
1592
+ 00:41:21,230 --> 00:41:25,850
1593
+ ุฃู†ุช ู‡ูŠูƒ ู…ุนู†ุงุชู‡ ู„ุบุงูŠุฉ ุฅู† ูƒู„ ุงู„ู€ DC power ุงู„ู€ DC power
1594
+
1595
+ 508
1596
+ 00:41:25,850 --> 00:41:30,870
1597
+ ุทุจ ู…ุง ู‡ูŠ function DC ู…ุด ู‡ูŠูƒ ู…ุด ุงู„ู€ generator ุงู„ู„ูŠ
1598
+
1599
+ 509
1600
+ 00:41:30,870 --> 00:41:34,670
1601
+ ุจูŠุทู„ุน ู„ูƒ DC ุงู„ุจุทุงุฑูŠุฉ ุงู„ุจุทุงุฑูŠุฉ ุงู„ุนุงุฏูŠุฉ ู‡ุฐู‡ ุงู„ุจุทุงุฑูŠุฉ
1602
+
1603
+ 510
1604
+ 00:41:34,670 --> 00:41:37,930
1605
+ ุงู„ุฃุตุจุน ุทุจ ู…ุง ู‡ูŠ ุงู„ู€ DC ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ู…ุนู†ุงุชู‡ ุฃู†ุช ุทู„ุนุช
1606
+
1607
+ 511
1608
+ 00:41:37,930 --> 00:41:45,680
1609
+ ุฎุงุฑุฌ ุงู„ุนู„ู… ุจุชุงุนุชู†ุง ุชู…ุงู… ู ..ู‡ูŠูƒ ุฃุฎุฏู†ุง ู…ุฌู…ูˆุนุฉ ู…ุณุงุฆู„
1610
+
1611
+ 512
1612
+ 00:41:45,680 --> 00:41:50,440
1613
+ ู‡ู†ุฎู„ูŠ ู…ุฌู…ูˆุนุฉ ุซุงู†ูŠุฉ ุจุฑุถู‡ ู…ุน ุงู„ู€ matrices ู„ู„ู…ุฑุฉ
1614
+
1615
+ 513
1616
+ 00:41:50,440 --> 00:41:53,320
1617
+ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ุงู„ุฃุณุจูˆุน ุงู„ู‚ุงุฏู… ู‡ู†ุงุฎุฏ ุงู„ู€
1618
+
1619
+ 514
1620
+ 00:41:53,320 --> 00:41:58,020
1621
+ matrices ูˆู‡ู†ุจุฏุฃ ููŠ ุงู„ู€ algorithms ู‡ู†ุจุฏุฃ ู†ุชุนู„ู… code
1622
+
1623
+ 515
1624
+ 00:41:58,020 --> 00:42:01,180
1625
+ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ pseudocode ุงู„ู€ code ุงู„ู…ุชุนุฑู ุนู„ูŠู‡
1626
+
1627
+ 516
1628
+ 00:42:01,180 --> 00:42:07,380
1629
+ ูƒู„ูƒู… ุจุชุนุฑููˆุง ุฅู†ู‡ ุฃู†ุช ู…ู…ูƒู† ุชุดุชุบู„ Java ุฃู†ุง ุฃุดุชุบู„ C++
1630
+
1631
+ 517
1632
+ 00:42:07,380 --> 00:42:11,800
1633
+ ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุงู„ู…ูุฑูˆุถ ู†ูู‡ู… ุจุนุถ ุงู„ู…ูุฑูˆุถ ุฅู† ู†ูู‡ู… ุจุนุถ
1634
+
1635
+ 518
1636
+ 00:42:11,800 --> 00:42:15,740
1637
+ ููŠ ุงู„ู€ pseudocode ูƒูˆูŠุณ ูู„ุงุฒู… ูŠูƒูˆู† ููŠ code ูˆุตููŠ ุงู„ู„ูŠ
1638
+
1639
+ 519
1640
+ 00:42:15,740 --> 00:42:18,660
1641
+ ู‡ูˆ ุงู„ู€ pseudocode ูˆุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุชุดุชุบู„ู‡ ุนู„ูŠู‡ ุงู„ุฃุตู„
1642
+
1643
+ 520
1644
+ 00:42:18,660 --> 00:42:22,120
1645
+ ู‡ูŠ ุชุดุชุบู„ู‡ ุนู„ูŠู‡ ููŠ ุงู„ู€ data structure ุจุงู„ุธุจุท ูู‡ู†ุชูƒู„ู…
1646
+
1647
+ 521
1648
+ 00:42:22,120 --> 00:42:24,260
1649
+ ุนู†ู‡ ูŠู„ุง ูŠุนุทูŠูƒู… ุงู„ุนููˆ
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/tfL57plaSsE.srt ADDED
@@ -0,0 +1,1474 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,150 --> 00:00:07,510
3
+ ุทูŠุจ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูŠุง ุดุจุงุจ
4
+
5
+ 2
6
+ 00:00:07,510 --> 00:00:11,290
7
+ ู†ูƒู…ู„ ุงู„ูŠูˆู… ููŠ ุฌุฒุฆูŠุฉ ุงู„ู€ quantifiers ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู†ู‡ุง
8
+
9
+ 3
10
+ 00:00:11,290 --> 00:00:15,450
11
+ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ู†ูƒู…ู„ ุงู„ุฌุฒุก ุงู„ู„ูŠ ูƒุงู† ู…ุชุจู‚ู‘ูŠ ู„ู†ุง ูˆุฒูŠ ู…ุง
12
+
13
+ 4
14
+ 00:00:15,450 --> 00:00:18,290
15
+ ูˆุนุฏู†ุงูƒูู…ุŒ ูƒู„ ู…ุง ู‡ู†ู„ุงู‚ูŠ ู…ุนุงู†ุง ูˆู‚ุช ูุงุถูŠ ููŠ ุขุฎุฑ
16
+
17
+ 5
18
+ 00:00:18,290 --> 00:00:22,530
19
+ ุงู„ุฃุณุจูˆุน ูˆููŠู‡ ูˆุงุฌุจุงุชุŒ ู‡ู†ุญู„ ุฃุณุฆู„ุฉุŒ ู‡ู†ุญู„ ู…ุฌู…ูˆุนุฉ ุฃุณุฆู„ุฉ
20
+
21
+ 6
22
+ 00:00:22,530 --> 00:00:25,490
23
+ ูุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุฅุฐุง ูƒุงู† ุฃุณุนูู†ุง ุงู„ูˆู‚ุชุŒ ู…ุฌู‡ู‘ุฒ
24
+
25
+ 7
26
+ 00:00:25,490 --> 00:00:29,050
27
+ ู…ุฌู…ูˆุนุฉ ุฃุณุฆู„ุฉ ุจุฑุถู‡ ุนู„ู‰ ุดูˆูŠุฉ ู…ูˆุงุถูŠุน ู…ู† ุงู„ู…ูˆุงุถูŠุน ุงู„ู„ูŠ
28
+
29
+ 8
30
+ 00:00:29,050 --> 00:00:33,750
31
+ ู…ูŽุฑู‘ุช ุนู„ูŠู†ุงุŒ ุฌุฏ ู…ุง ุจู†ู‚ุฏุฑ ู†ุฃุฎุฐุŒ ู†ุฃุฎุฐ ูˆุจู†ุดูˆู ุจุนุฏูŠู†
32
+
33
+ 9
34
+ 00:00:33,750 --> 00:00:37,570
35
+ ู„ุจุงู‚ูŠ ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ุงุญู‚ุฉ. ุทูŠุจุŒ ููŠ ุงู„ู€ quantifiers
36
+
37
+ 10
38
+ 00:00:37,570 --> 00:00:44,470
39
+ ุงุชูƒู„ู…ู†ุง ุฅู†ู‘ู‡ there exist ู…ุน for all ู„ู†ูุณ ุงู„ู…ุชุบูŠุฑุŒ ู…ุด
40
+
41
+ 11
42
+ 00:00:44,470 --> 00:00:47,890
43
+ ู‡ูŠุธุจุทูˆุง ุงู„ุฅุชู†ูŠู† ู…ุน ุจุนุถ. ุฃุฎุฏู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ู†ูุณ
44
+
45
+ 12
46
+ 00:00:47,890 --> 00:00:54,850
47
+ ุงู„ูƒู„ุงู… ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏู‡ for all x P(x) ุชู…ุงู…ุŒ ูˆููŠ
48
+
49
+ 13
50
+ 00:00:54,850 --> 00:00:58,370
51
+ ุฃู‚ูˆุงุณุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‘ ุงู„ู€ quantifier ู‡ุฐุง ู„ู„ู€ P(x) ูู‚ุท
52
+
53
+ 14
54
+ 00:00:58,370 --> 00:01:04,370
55
+ ูˆู„ูŠุณ ู„ู„ู€ Q(x) ู…ุง ุฏุงู… ุบูŠุฑ ู…ุดู…ูˆู„ ุงู„ุฃู‚ูˆุงุณ ู…ุนู‡ุง. ุทูŠุจุŒ
56
+
57
+ 15
58
+ 00:01:04,370 --> 00:01:08,530
59
+ ู†ูุณ ุงู„ุดุบู„ุŒ ู‚ู„ู†ุง ู„ู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ for all x P(x)
60
+
61
+ 16
62
+ 00:01:09,860 --> 00:01:13,800
63
+ ู…ุน ุจุนุถ ู„ุญุงู„ู‡ุงุŒ and there exist x Q(x)ุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ
64
+
65
+ 17
66
+ 00:01:13,800 --> 00:01:17,380
67
+ ุฃู†ู‘ ูƒู„ x ู…ู† ุงู„ุฅุชู†ูŠู† ู‡ุฏูˆู„ ู…ุฎุชู„ูุฉ ุนู† ุงู„ุชุงู†ูŠุฉุŒ ูƒู„ ูˆุงุญุฏุฉ
68
+
69
+ 18
70
+ 00:01:17,380 --> 00:01:21,420
71
+ ุฎุงุตุฉ ุจุงู„ู€ function ุฃูˆ ุจุงู„ู€ predicate ุจุชุงุนุชู‡ุงุŒ ูˆุงู„ู€
72
+
73
+ 19
74
+ 00:01:21,420 --> 00:01:23,860
75
+ quantifier ุชุจุนู‡ุงุŒ of course. ูู‡ู†ุง ู‡ูŠูƒูˆู† ููŠ end
76
+
77
+ 20
78
+ 00:01:23,860 --> 00:01:31,020
79
+ different x. ุญูƒูŠู†ุง ุนู† ุงู„ู€ quantifier equivalence laws
80
+
81
+ 21
82
+ 00:01:31,020 --> 00:01:35,300
83
+ ูˆุดูู†ุง ุฃู†ู‘ for all ู…ุนู†ุงุชู‡ ุจุชูƒู„ู… ุนู† ู…ุฌู…ูˆุนุฉ andุŒ ูˆ for
84
+
85
+ 22
86
+ 00:01:35,300 --> 00:01:40,660
87
+ all there exist ุจุชูƒู„ู… ุนู† ู…ุฌู…ูˆุนุฉ orุŒ ุชู…ุงู…ุŸ ูˆู‚ู„ู†ุง ุงู„ู€
88
+
89
+ 23
90
+ 00:01:40,660 --> 00:01:43,260
91
+ two properties ู‡ุฏูˆู„ุŒ ูˆุฃุซุจุชู†ุงู‡ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ.
92
+
93
+ 24
94
+ 00:01:43,260 --> 00:01:47,560
95
+ ุฃุซุจุชู†ุง ูƒูŠู ู…ู…ูƒู† ูุนู„ุงู‹ ู†ุญู‚ู‘ู‚ ุงู„ุฅุชู†ูŠู† ู‡ุฏูˆู„ ู…ู† ุฎู„ุงู„
96
+
97
+ 25
98
+ 00:01:47,560 --> 00:01:54,060
99
+ ุฏูŠ ู…ูˆุฑุบุงู†. ุทูŠุจุŒ ู„ู…ุง ุชูƒูˆู† ุนู†ุฏูŠ for all x for all yุŒ ู…ูŠู†
100
+
101
+ 26
102
+ 00:01:54,060 --> 00:01:58,600
103
+ ุฌุงุจ ู„ู„ุชุงู†ูŠุŒ ู…ุด ู‡ูŠูุฑู‚ุŒ for all y for all x ุจุฑุถู‡ ู…ุด
104
+
105
+ 27
106
+ 00:01:58,600 --> 00:02:02,020
107
+ ู‡ุชูุฑู‚ุŒ ุจุงู„ุธุจุท. ู„ู…ุง ุชูƒูˆู† ููŠ ุงู„ู€ languageุŒ ุจุญูˆู‘ู„ ู…ู†
108
+
109
+ 28
110
+ 00:02:02,020 --> 00:02:06,220
111
+ direct ู„ู€ indirectุŒ ู†ูุณ ุงู„ูƒู„ุงู… ู„ู„ู€
112
+
113
+ 29
114
+ 00:02:06,220 --> 00:02:10,780
115
+ there exist. ุทูŠุจุŒ ู„ู…ุง ุชูƒูˆู† ุงู„ู€ for all ู…ุญูƒูˆู…ุฉ ุจุฃู‚ูˆุงุณ
116
+
117
+ 30
118
+ 00:02:10,780 --> 00:02:15,240
119
+ ูƒุงู…ู„ุฉุŒ ู„ู…ูŠู†ุŸ ู„ู„ู€ two predicatesุŒ two predicates ู…ุน
120
+
121
+ 31
122
+ 00:02:15,240 --> 00:02:19,440
123
+ ุจุนุถุŒ ู…ุนู†ุงุชู‡ูู… ุงู„ูุฑู‚ ู„ู„ู€ predicate ุงู„ุฃูˆู„ุŒ ูˆุงู„ู€
124
+
125
+ 32
126
+ 00:02:19,440 --> 00:02:24,280
127
+ quantifier ุจุฑุถู‡ ู„ู„ู€ predicate ุงู„ุชุงู†ูŠุŒ ูู†ู‚ุฏุฑ ู†ูˆุฒู‘ุนู‡ุง.
128
+
129
+ 33
130
+ 00:02:24,280 --> 00:02:26,740
131
+ ู…ุง ุฏุงู… ุงู„ุฃู‚ูˆุงุณ ุญุงูƒู…ุฉ ุงู„ู€ priorityุŒ ุฏุงูŠู…ุงู‹ ู‡ูŠ ุงู„ู„ูŠ
132
+
133
+ 34
134
+ 00:02:26,740 --> 00:02:30,560
135
+ ุจุชุญูƒู…ู†ุง ููŠ ุชูˆุฒูŠุนุงุชู†ุง. ู†ูุณ ุงู„ูƒู„ุงู… ู„ู…ูŠู†ุŸ ู„ู„ู€ there exist.
136
+
137
+ 35
138
+ 00:02:30,560 --> 00:02:38,210
139
+ okayุŒ ุจุฑุถู‡. ุญุงู„ุงุช ุชุงู†ูŠุฉ ูƒุชูŠุฑ ู…ู…ูƒู† ุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุฅู†ู‘ูƒ
140
+
141
+ 36
142
+ 00:02:38,210 --> 00:02:41,530
143
+ ุชู„ุงู‚ูŠ for all x for all y for all zุŒ ูƒู„ู‡ู… for all.
144
+
145
+ 37
146
+ 00:02:41,530 --> 00:02:43,670
147
+ for all for allุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‘ ุฃู†ุง ู…ู…ูƒู† ุฃุญุท for all
148
+
149
+ 38
150
+ 00:02:43,670 --> 00:02:49,530
151
+ ูˆุงุญุฏุฉุŒ ู†ูƒุชุจู‡ุง for all x, y, z ู…ุน ุจุนุถุŒ ุชู…ุงู…ุŒ ูƒูˆู…ุฉุŒ ุฃูˆ
152
+
153
+ 39
154
+ 00:02:49,530 --> 00:02:53,590
155
+ ุจุฏูˆู† ูƒูˆู…ุฉ ุนู„ู‰ ุทูˆู„ุŒ ู…ุจุงุดุฑุฉุŒ ูƒู„ู‘ู‡ ุจูŠู…ุดูŠ ุงู„ุญุงู„ุŒ ูุจุชูู‡ู…
156
+
157
+ 40
158
+ 00:02:53,590 --> 00:02:56,350
159
+ ู…ุจุงุดุฑุฉ ุฃู†ู‘ ุฅุฐุง ุฌุงู„ูƒ for all x y zุŒ ู…ุนู†ุงุชู‡ ุฃู†ู‘ ุฃู†ุง
160
+
161
+ 41
162
+ 00:02:56,350 --> 00:03:00,950
163
+ ุจุชูƒู„ู… ุนู† for all y for all x for all zุŒ ุตุญุŸ ูƒู„ู‡ู…
164
+
165
+ 42
166
+ 00:03:03,240 --> 00:03:07,560
167
+ ุชู…ุงู…. ู†ุตู„ ู„ุจุฏุงูŠุฉ ู…ุญุงุถุฑุชู†ุง ู„ู„ูŠูˆู…ุŒ ุงู„ู„ูŠ ู‡ูŠ ุจุฏู†ุง ู†ุชูƒู„ู…
168
+
169
+ 43
170
+ 00:03:07,560 --> 00:03:10,840
171
+ ููŠู‡ุง ุนู†ุŒ ุจุนุฏ ู…ุง ุนู…ู„ู†ุง revision ุณุฑูŠุนุฉุŒ ู†ุชูƒู„ู… ููŠู‡ุง ุนู†
172
+
173
+ 44
174
+ 00:03:10,840 --> 00:03:15,820
175
+ a new quantifier ุฅุถุงููŠุŒ ุบูŠุฑ ุงู„ู€ there exist ูˆุงู„ู€ for
176
+
177
+ 45
178
+ 00:03:15,820 --> 00:03:18,900
179
+ all ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ู… ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉุŒ ุงู„ู„ูŠ ู‡ูˆ there exist
180
+
181
+ 46
182
+ 00:03:18,900 --> 00:03:24,170
183
+ exactly one. there exist ูƒู„ู‘ู†ุง ุนุงุฑููŠู† ุฃู†ู‘ ู‡ูŠ one or
184
+
185
+ 47
186
+ 00:03:24,170 --> 00:03:30,990
187
+ more. ุจุฏู‘ูŠ ุงู„ู€ oneุŒ just oneุŒ just oneุŒ ูุจู†ุนู…ู„
188
+
189
+ 48
190
+ 00:03:30,990 --> 00:03:34,670
191
+ there exist! ุนู„ุงู…ุฉ ุงู„ุชุนุฌู‘ุจ ู‡ุฐู‡
192
+
193
+ 49
194
+ 00:03:34,670 --> 00:03:38,750
195
+ !x P(x)ุŒ ูู‡ุฐู‡ ุจูู‡ู… ู…ู†ู‡ุง ุฃู†ู‘ ูŠูˆุฌุฏ
196
+
197
+ 50
198
+ 00:03:38,750 --> 00:03:44,370
199
+ exactly one value for x such that P(x) is true.
200
+
201
+ 51
202
+ 00:03:44,370 --> 00:03:49,810
203
+ ูุฅุฐุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ูˆุงุญุฏุฉ ู„ู€ x ุชุญู‚ู‚ P(x)ุŒ ูˆุชุญุฏูŠุฏุงู‹ ูˆุงุญุฏุฉ
204
+
205
+ 52
206
+ 00:03:50,510 --> 00:03:55,830
207
+ ูู‡ู†ุง ุจุชูƒูˆู† ุชุญุฏูŠุฏุงู‹ exactly oneุŒ ุชู…ุงู…. ุทูŠุจุŒ ู‡ุฐู‡ ุฅูŠุด
208
+
209
+ 53
210
+ 00:03:55,830 --> 00:04:00,150
211
+ ู…ุนู†ุงู‡ุงุŸ ู…ุนู†ุงู‡ุง ู„ู…ุง ุจุฏู‘ูŠ ุฃุฌูŠ ุฃุญู„ู„ู‡ุงุŒ ุงู„ู€ new
212
+
213
+ 54
214
+ 00:04:00,150 --> 00:04:02,870
215
+ quantifier ู‡ุฐู‡ุŒ ุงู„ู„ูŠ ู‡ูŠ there exist! ุฃูˆ
216
+
217
+ 55
218
+ 00:04:02,870 --> 00:04:06,870
219
+ exactly one x P(x)ุŒ ู‡ุฐู‡ ุชูƒุงูุฆ ู„ุฅูŠุดุŸ ู„ู€ there exist
220
+
221
+ 56
222
+ 00:04:06,870 --> 00:04:14,610
223
+ x ุชุญู‚ู‚ P(x)ุŒ and ู„ุง ูŠูˆุฌุฏ ุบูŠุฑู‡ุง ูŠุญู‚ู‚ุŒ ุตุญุŸ ู…ุด ู‡ูŠูƒ
224
+
225
+ 57
226
+ 00:04:14,610 --> 00:04:20,210
227
+ ู…ุนู†ุงู‡ุงุŸ ู‡ูŠ ู„ุง ูŠูˆุฌุฏ y ุชุญู‚ู‚ P(x)ุŒ ุจุดุฑุท ุฃู†ู‘ y ู„ุง ุชุณุงูˆูŠ
228
+
229
+ 58
230
+ 00:04:20,210 --> 00:04:24,330
231
+ xุŒ ุจู…ุนู†ู‰ ุฃู†ู‘ y ู‡ูŠ ุฃูŠ ุดูŠุก ุบูŠุฑ xุŒ ู„ุฃู†ู‘ x ูŠุญู‚ู‚
232
+
233
+ 59
234
+ 00:04:28,260 --> 00:04:32,620
235
+ there exists exactly one P(x). ู‡ุฐูŠ ู…ูƒุงูุฆุฉ ู„ุฅูŠุดุŸ
236
+
237
+ 60
238
+ 00:04:32,620 --> 00:04:35,660
239
+ ูŠุนู†ูŠ ุงุญู†ุง ุงุฎุชุฒู„ู†ุง ุนุดุงู† ู†ุญุท ุงู„ุฌู…ู„ุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ู„ูˆ
240
+
241
+ 61
242
+ 00:04:35,660 --> 00:04:38,920
243
+ ูƒู†ุชูŽ ููŠู‡ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ู‡ู„ ูƒุงู† ู„ู‡ ูุงุฆุฏุฉ ุฃู† ุฃุญุทู‘ู‡ ุจู‡ุฐุง
244
+
245
+ 62
246
+ 00:04:38,920 --> 00:04:43,180
247
+ ุงู„ุดูƒู„ุŸ ุงู‡ุŒ ูƒุงู† ู„ู‡ ูุงุฆุฏุฉุŒ ู„ุฃู†ู‘ ู‡ูˆ ุฏู‡ ุจูŠุฎุชุฒู„ form
248
+
249
+ 63
250
+ 00:04:43,180 --> 00:04:48,310
251
+ ูƒุชูŠุฑ ุถุฎู… ูˆูƒุชูŠุฑ ูƒุจูŠุฑุŒ ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุดุŸ there exists x P
252
+
253
+ 64
254
+ 00:04:48,310 --> 00:04:53,090
255
+ (x). ูุฅุฐุง ูŠูˆุฌุฏ ู‚ูŠู…ุฉ ู„ู€ x ุชุญู‚ู‚ P(x)ุŒ ูˆุบูŠุฑู‡ุง ู„ุง
256
+
257
+ 65
258
+ 00:04:53,090 --> 00:04:56,970
259
+ ูŠุญู‚ู‚. ู…ุด ุจุฏู‘ูŠ ุฃุชุฑุฌู… ูƒู„ู…ุฉ "ูˆุบูŠุฑู‡ุง ู„ุง ูŠุญู‚ู‚" ู„ุฃู†ู‡ุง ูˆุงุญุฏ
260
+
261
+ 66
262
+ 00:04:56,970 --> 00:05:03,050
263
+ ูู‚ุทุŒ x ุจุณ. ูุฅุฐุง ูŠุญู‚ู‚ P(x)ุŒ ูˆุบูŠุฑู‡ุง ู„ุง ูŠุญู‚ู‚ ู…ู†
264
+
265
+ 67
266
+ 00:05:03,050 --> 00:05:10,750
267
+ ุบูŠุฑู‡ุงุŒ ุฃูŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ yุŒ ู…ุนู†ุงุชู‡ ู„ุง ูŠูˆุฌุฏ y ุชุญู‚ู‚ P(x).
268
+
269
+ 68
270
+ 00:05:10,750 --> 00:05:15,550
271
+ ุจุณ ู†ุฃุฎุฐ ุจุงู„ู†ุงุŒ ู…ุด ูŠุทู„ุน ู„ูŠ ุจุงู„ุขุฎุฑ y ู‡ูŠ ู†ูุณู‡ุง x. ุงุญู†ุง
272
+
273
+ 69
274
+ 00:05:15,550 --> 00:05:19,330
275
+ ู‚ู„ู†ุง ู„ูˆ ูˆุฌุฏ ุบูŠุฑู‡ุงุŒ ุบูŠุฑู‡ุงุŒ ู…ุนู†ุงุชู‡ ุจุฏู‘ูŠ ุฃุญุฏู‘ุฏ ุฃู†ู‘ y ู„ุง
276
+
277
+ 70
278
+ 00:05:19,330 --> 00:05:24,570
279
+ ุชุณุงูˆูŠ xุŒ ู„ุฃู†ู‡ ุบูŠุฑู‡ุงุŒ ุนุดุงู† ุชูƒูˆู† ูุนู„ุงู‹ ุบูŠุฑู‡ุง. ูุฅุฐุง ู‡ู†ุง
280
+
281
+ 71
282
+ 00:05:24,570 --> 00:05:29,370
283
+ ุฃู†ุง ุจูƒูˆู† ุจุฏู‚ุฉ ูƒุงู…ู„ุฉ ุนุฑูุช ุงู„ุชุนุฑูŠู ุจุฏูˆู† ู…ุง ุฃู†ุณู‰ ุฃูˆ
284
+
285
+ 72
286
+ 00:05:29,370 --> 00:05:35,270
287
+ ุฃุฎูู„ ุฃูŠ case ู…ู…ูƒู† ุชุถุฑุจ ู„ูู€ ุชุนุฑูŠููŠุŒ ู„ูˆ ู…ุง ูƒุชุจู†ุงุด
288
+
289
+ 73
290
+ 00:05:35,270 --> 00:05:39,090
291
+ ุงู„ุฃุฎูŠุฑุฉ ู‡ุฐู‡. ู‡ูŠุฌูŠูƒ ูˆุงุญุฏ ูŠู‚ูˆู„ ู„ูƒ: ุทุจ ู…ุงุดูŠุŒ y ุชุณุงูˆูŠ x ู‡ูŠ
292
+
293
+ 74
294
+ 00:05:39,090 --> 00:05:45,810
295
+ ุจุชุถุจุทุŒ ูˆุตุงุฑ ููŠ ุนู†ุฏูƒ confusion.. confusion. ูˆุงุถุญ ุฃู†ู‘
296
+
297
+ 75
298
+ 00:05:45,810 --> 00:05:50,830
299
+ ููŠ ุงุฎุชู„ุงู ููŠ ุงู„ู…ุนู†ูŠูŠู†ุŒ ู‡ุฐู‡ ุตุงุฑุช ุบูŠุฑ ู‡ุฐู‡. ู„ุฃุŒ ู…ู‡ู…ู‘ุฉ ุฌุฏุงู‹
300
+
301
+ 76
302
+ 00:05:50,830 --> 00:05:56,130
303
+ ุญุชู‘ู‰ ุขุฎุฑ ุญุงุฌุฉ ุงู†ูƒุชุจุชุŒ ู…ู‡ู…ู‘ุฉ ุฌุฏุงู‹. ูุฅุฐุง ูƒู„ู‘ ูƒู„ู…ุฉ ุจุฏู†ุง
304
+
305
+ 77
306
+ 00:05:56,130 --> 00:06:00,910
307
+ ู†ุนุฑูู‡ุง ุฃูˆ ู…ู‡ู…ู‘ุฉ ููŠ ุงู„ุชุนุฑูŠูุŒ ู„ุงุฒู… ุชูƒูˆู† ูˆุงุถุญุฉ ููŠ ุงู„ู€
308
+
309
+ 78
310
+ 00:06:00,910 --> 00:06:04,830
311
+ expression ุงู„ู„ูŠ ุจุชูƒุชุจู‡ุŒ ู„ุงุจุฏ ุชูƒูˆู† ูˆุงุถุญุฉุŒ ู…ุง ุชุฎุชุฒู„ุด
312
+
313
+ 79
314
+ 00:06:04,830 --> 00:06:07,550
315
+ ุญุงุฌุฉ ุชู‚ูˆู„: ู…ุง ู‡ูˆ ู…ุนุฑูˆูุฉุŒ ู…ุงููŠุด ุญุงุฌุฉ ู…ุง ู‡ูˆ ู…ุนุฑูˆูุฉ.
316
+
317
+ 80
318
+ 00:06:07,550 --> 00:06:11,740
319
+ ุงุญู†ุง ุงู„ุขู† ุฒูŠ ู…ุง ู‚ู„ู†ุง ูƒู…ุงู† ู…ุฑู‘ุฉุŒ ุงู„ู€ discrete ู‡ุฐู‡ ุนุดุงู†
320
+
321
+ 81
322
+ 00:06:11,740 --> 00:06:15,020
323
+ ู‡ุชูู‡ู… ู…ุน ุงู„ุญุงุณูˆุจุŒ ุงู„ุญุงุณูˆุจ ุจูŠูู‡ู…ุด ู…ุง ู‡ูˆ ู…ุนุฑูˆูุฉ.
324
+
325
+ 82
326
+ 00:06:15,020 --> 00:06:19,240
327
+ ุงู„ุญุงุณูˆุจ ู…ุง ุจูŠุนุฑูุด ุดูŠุกุŒ ุงู„ุญุงุณูˆุจ ููŠ ุงู„ุขุฎุฑ siliconุŒ ุฑู…ู„.
328
+
329
+ 83
330
+ 00:06:19,240 --> 00:06:22,440
331
+ ูŠุนู†ูŠ ุชู‚ูˆู„ู‡: ู„ุฃุŒ ู…ุง ู‡ูˆ ู…ุนุฑูˆูุฉุŒ ุฅู†ู‘ูŠ ุฃู†ุง ุจู‚ูˆู„: ู„ุง ูŠูˆุฌุฏ
332
+
333
+ 84
334
+ 00:06:22,440 --> 00:06:25,800
335
+ ุบูŠุฑู‡ุงุŒ ู‡ู‚ูˆู„ ู„ูƒ: ุฃู†ุง ู…ุง ุนุฑูุชุด ุฅู†ู‘ ุฃู†ุช ุฅูŠุด ู‚ุตุฏูƒ ุจู€ "ุบูŠุฑู‡ุง".
336
+
337
+ 85
338
+ 00:06:25,800 --> 00:06:30,140
339
+ ู„ุงุฒู… ุชุญุทู‘ ุงู„ู€ y ู„ุง ุชุณุงูˆูŠ x. ุฃู†ุง ุนุงุฑู ุฅู†ู‘ ููŠ ุญุงุฌุงุช ุฃู†ุชูŽ
340
+
341
+ 86
342
+ 00:06:30,140 --> 00:06:32,920
343
+ by default ุจุชุญุณู‘ู‡ุงุŒ ู…ุงู‡ูŠ ู…ู†ุทู‚ุฉุŒ ู„ุฃุŒ ู…ุงููŠุด ุญุงุณูˆุจุฉ
344
+
345
+ 87
346
+ 00:06:32,920 --> 00:06:37,080
347
+ ู…ู†ุทู‚ูŠุฉุŒ ูƒู…ุงู† ู…ุฑู‘ุฉุŒ ุงู„ุฑู…ุฒูŠุงุช ุชุจุนู†ุง ู…ุด ุนุดุงู†ูŠ ุฃู†ุง ูˆุฃู†ุชูŽุŒ
348
+
349
+ 88
350
+ 00:06:37,910 --> 00:06:44,170
351
+ ุนุดุงู† ุฃู†ุชูŽ ุจุฏุฃุช ุชุชุนุงู…ู„ ู…ุน ู‡ุงู„ู€ machine ู‡ุฐู‡. ูุฅุฐุง ุฃุตุจุญ
352
+
353
+ 89
354
+ 00:06:44,170 --> 00:06:49,330
355
+ ุชุนุฑูŠูู†ุง: there is an x such that P(x) where is no
356
+
357
+ 90
358
+ 00:06:49,330 --> 00:06:56,590
359
+ y such that P(y) and y other than x. ูˆ y ู‡ุฐูŠ ุฃูŠู‘
360
+
361
+ 91
362
+ 00:06:56,590 --> 00:07:01,190
363
+ ุดูŠุก ุซุงู†ูŠ ุบูŠุฑ xุŒ ุนุดุงู† ู…ุง ูŠุฌูŠ ูˆุงุญุฏ ูŠุถุฑุจ ู„ู„ุชุนุฑูŠู ูˆ
364
+
365
+ 92
366
+ 00:07:01,190 --> 00:07:03,770
367
+ ูŠู‚ูˆู„: ุทูŠุจ ู…ุงุดูŠุŒ ุฃู†ุชูŽ ุญุทูŠุช x ูˆ yุŒ ู…ุง ู‡ูˆ ู…ุง ูŠู…ูƒู† ู†ูุณ
368
+
369
+ 93
370
+ 00:07:03,770 --> 00:07:07,730
371
+ ุงู„ู‚ูŠู…ุฉุŒ ุชู†ุชู‡ูŠ x ุชุณุงูˆูŠ ุซู„ุงุซุฉ ูˆ y ุชุณุงูˆูŠ ุซู„ุงุซุฉุŒ ู‡ุงูŠ
372
+
373
+ 94
374
+ 00:07:07,730 --> 00:07:16,310
375
+ ุทู„ุนูˆุง ุจูŠุณุงูˆูŠ ุจุนุถ. ูู…ู‡ู…ู‘ ุฌุฏุงู‹ y is other than xุŒ ุชู…ุงู….
376
+
377
+ 95
378
+ 00:07:16,310 --> 00:07:23,110
379
+ ู†ุงุฎุฐ ู…ุซุงู„ูŠู† ู„ุชุนุฑูŠููŠู† ู…ู† ุงู„ู€ language ุฃูˆ ู…ู† English
380
+
381
+ 96
382
+ 00:07:23,110 --> 00:07:28,050
383
+ languageุŒ ุจุฏู†ุง ู†ุนุฑูู‡ุง ุจุดูƒู„ mathematical formุŒ ู„ู…ุง
384
+
385
+ 97
386
+ 00:07:28,050 --> 00:07:32,430
387
+ ุฃู‚ูˆู„: ุงู„ุฃุนุฏุงุฏ ุงู„ุฒูˆุฌูŠุฉ.
388
+
389
+ 98
390
+ 00:07:33,970 --> 00:07:37,170
391
+ ุฃุนุฏุงุฏ ุฒูˆุฌูŠุฉุŒ ู‡ูุชุฑุถ ู…ุจุฏุฃูŠุงู‹ ุฃู†ู‘ ุฃู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู€
392
+
393
+ 99
394
+ 00:07:37,170 --> 00:07:39,390
395
+ natural numbersุŒ ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุตูุฑุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ to
396
+
397
+ 100
398
+ 00:07:39,390 --> 00:07:44,410
399
+ infinityุŒ ูˆุจุฏู†ุง ู†ุนุฑู ุฃูŠู‘ ุฑู‚ู… ุฒูˆุฌูŠุŒ ูุจู‚ูˆู„: a number x
400
+
401
+ 101
402
+ 00:07:44,410 --> 00:07:49,290
403
+ is even. ู‡ูŠ ุฃูˆู„ ุชุนุฑูŠู ุฃู†ุง ุจุฏู‘ูŠ ุฃุนุฑู ุฑู‚ู… ุฒูˆุฌูŠุŒ ูŠุนู†ูŠ E
404
+
405
+ 102
406
+ 00:07:49,290 --> 00:07:56,910
407
+ (x)ุŒ ูˆ E ู‡ูŠ ุงู„ู„ูŠ ุจุชุญุฏุฏ x is evenุŒ ุชู…ุงู…. ู‡ุฐุง ุงู„ูƒู„ุงู…
408
+
409
+ 103
410
+ 00:07:56,910 --> 00:08:03,060
411
+ ุตุญูŠุญ if and only if it's equal to two times some
412
+
413
+ 104
414
+ 00:08:03,060 --> 00:08:12,520
415
+ other number. ุนุดุงู† ุฃู‚ูˆู„ ุฃู†ู‘ x is evenุŒ ูุฅุฐุง ู„ุงุจุฏ ุฃู† x
416
+
417
+ 105
418
+ 00:08:12,520 --> 00:08:20,320
419
+ ู‡ุฐู‡ ุชูƒูˆู† ุงุซู†ูŠู† ููŠ some other numberุŒ y ู…ุซู„ุงู‹ุŒ ูˆุฅู„ู‘ุง
420
+
421
+ 106
422
+ 00:08:20,320 --> 00:08:24,550
423
+ ูู‡ูŠ ู„ูŠุณุช ุฒูˆุฌูŠุฉ. ู…ุนู†ูŽู‰ ุฐู„ูƒ ุฃู†ู‘ ู‡ูŠ ู„ุณุฉ ุฒูˆุฌูŠุŒ ุงู„ุชุนุฑูŠู ู‡ุฐุง
424
+
425
+ 107
426
+ 00:08:24,550 --> 00:08:28,190
427
+ ุจุฏู†ุง ู†ุชุฑุฌู…ู‡ ุจุดูƒู„ ู…ุนุงุฏู„ุฉ ุจุณุŒ ู„ุง ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ู‘.
428
+
429
+ 108
430
+ 00:08:28,190 --> 00:08:36,690
431
+ ูู‡ู†ู‚ูˆู„: for all xุŒ ู„ูƒู„ ู‚ูŠู… xุŒ x ู‡ุฐุง ู‡ูŠูƒูˆู† evenุŒ x
432
+
433
+ 109
434
+ 00:08:36,690 --> 00:08:43,390
435
+ ู‡ูŠูƒูˆู† evenุŒ ู„ูƒู† ุจุดุฑุทุŒ if and only ifุŒ ุฅุฐุง ูˆุฅุฐุง
436
+
437
+ 110
438
+ 00:08:43,390 --> 00:08:49,910
439
+ ูู‚ุทุŒ ุจู…ุนู†ู‰ ุฃู†ู‘ ู‡ู†ุง ู„ูŠุณุช implicationุŒ ุฎุฏ ุจุงู„ูƒุŒ ู„ูŠุณุช
440
+
441
+ 111
442
+ 00:08:49,910 --> 00:08:54,600
443
+ implication. ู„ู†ูˆุถู‘ุญู‡ุงุŒ ู„ูŠุณุช implicationุŒ ุจุจุณุงุทุฉ ุฌุฏุงู‹
444
+
445
+ 112
446
+ 00:08:54,600 --> 00:09:00,160
447
+ ู„ุฃู†ู‘ู‡ ุฅุฐุง ูƒุงู† evenุŒ ูุฅุฐุง ู‡ูˆ ุงุซู†ูŠู† yุŒ ุจุณ ู‡ู„ ู…ุนู†ุงู‡ ุฐู„ูƒ
448
+
449
+ 113
450
+ 00:09:00,160 --> 00:09:03,740
451
+ ุฃู†ู‘ู‡ ูŠู…ูƒู† ูŠูƒูˆู† ุงุซู†ูŠู† y ุจูŠู†ู…ุง ู‡ูˆ ู…ุด evenุŸ ูˆู„ุง ูŠู…ูƒู†ุŒ
452
+
453
+ 114
454
+ 00:09:03,740 --> 00:09:10,500
455
+ ุตุญุŸ ูุฅุฐุง implication ู„ู† ุชุตู„ุญ ู‡ู†ุงุŒ ู„ุงุจุฏ ุฅู†ู‘ูƒ ุฃู†ุชูŽ
456
+
457
+ 115
458
+ 00:09:10,500 --> 00:09:15,220
459
+ ุชุณุชุฎุฏู… if and only ifุŒ ุงู„ู€ biconditional. ูุฅุฐุง ู„ูƒู„ู‘
460
+
461
+ 116
462
+ 00:09:15,220 --> 00:09:23,400
463
+ ู‚ูŠู… xุŒ x even if and only if there exists yุŒ ูŠูˆุฌุฏ
464
+
465
+ 117
466
+ 00:09:23,400 --> 00:09:30,540
467
+ ุฑู‚ู… ุขุฎุฑุŒ ุงุซู†ูŠู† ุชู…ุซู‘ู„ ุถุนูู‡ุŒ ุงู„ู„ูŠ ู‡ูŠุŒ ุนููˆุงู‹ุŒ x ุชู…ุซู‘ู„ ุถุนูู‡ุŒ
468
+
469
+ 118
470
+ 00:09:30,540 --> 00:09:37,820
471
+ ูŠูˆุฌุฏ yุŒ ุงู„ู„ูŠ ู‡ูˆ other than xุŒ ูŠูˆุฌุฏ yุŒ x ุชุณุงูˆูŠ ุงุซู†ูŠู† y.
472
+
473
+ 119
474
+ 00:09:37,820 --> 00:09:42,100
475
+ ุทุจุนุงู‹ ู‡ู†ุง ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ุชู‚ูˆู„ ู„ูŠ: ุงู‡ุŒ ู…ุณูƒุช ุงู„ูƒุชุงุจุฉ ูƒุชูŠุฑุŒ
476
+
477
+ 120
478
+ 00:09:42,100 --> 00:09:48,110
479
+ ู„ุฃู†ู‘ ุนุงุฏุฉู‹ุŒ ูˆุจุฏู†ุง ู†ุญุทู‘ y ู„ุง ุชุณุงูˆูŠ xุŒ ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ุŒ ุงู„ู€ gate
480
+
481
+ 121
482
+ 00:09:48,110 --> 00:09:51,810
483
+ ู„ูŠุดุŸ ู„ุฃู†ู‘ ุฃู†ุง ุฌุงูˆุจ ุฃู‚ูˆู„ ู„ูƒ: ุชุณุงูˆูŠ 2yุŒ ูุฅุฐุง ู‡ูŠ ุงู„ู„ูŠ ุชุณุงูˆูŠู‡ุง
484
+
485
+ 122
486
+ 00:09:51,810 --> 00:10:00,470
487
+ ุฃุตู„ุงู‹ุŒ ุตุญุŒ ุงู„ุตูุฑ ูู‚ุทุŒ ุงู„ุญุงู„ุฉ ุงู„ุตูุฑ ุงู„ูˆุญูŠุฏุฉุŒ ุชู…ุงู…. ูุฅุฐุง
488
+
489
+ 123
490
+ 00:10:00,470 --> 00:10:06,290
491
+ ู„ูƒู„ ู‚ูŠู… xุŒ x is evenุŒ ุฎู„ุงุตุŒ if and only if there
492
+
493
+ 124
494
+ 00:10:06,290 --> 00:10:13,010
495
+ exist yุŒ x ุชู…ุซู‘ู„ ุถุนู yุŒ ุฃูˆ ุชู…ุซู‘ู„ ุงุซู†ูŠู† ู…ู† yุŒ ุชู…ุงู…. ู‡ุฐู‡
496
+
497
+ 125
498
+ 00:10:13,010 --> 00:10:17,410
499
+ ุชุนุฑูŠู ู„ูƒู„ู‘ ุงู„ู…ุตุทู„ุญุŒ ุฃูˆ ุงู„ู€ definition ุงู„ู„ูŠ ูƒู†ุง ูƒุชุจูŠู†ู‡.
500
+
501
+ 126
502
+ 00:10:17,410 --> 00:10:21,490
503
+ ุทูŠุจุŒ ูƒู…ุงู† definitionุŒ ูˆุจุฏู†ุง ู†ุญูˆู‘ู„ู‡ ู„ู…ุนุงุฏู„ุฉุŒ ุฅูŠุด ุงู„ู€
504
+
505
+ 127
506
+ 00:10:21,490 --> 00:10:26,130
507
+ definition ู„ู…ูŠู†ุŸ ู„ุฃุฑู‚ุงู… ุงู„ู€ primes. ู‡ู‚ูˆู„: a number is
508
+
509
+ 128
510
+ 00:10:26,130 --> 00:10:32,290
511
+ primeุŒ ุงู„ุฑู‚ู… ุฃูˆู„ูŠุŒ ูุจุณู…ู‘ูŠู‡ P(x). ุฃู†ุชูŽ ุจูŠูƒูˆู† ุงู„ุฑู‚ู…
512
+
513
+ 129
514
+ 00:10:32,290 --> 00:10:37,050
515
+ ุฃูˆู„ูŠ if and only ifุŒ ุฅุฐุง ูˆุฅุฐุง ูู‚ุทุŒ it's greater than
516
+
517
+ 130
518
+ 00:10:37,050 --> 00:10:42,010
519
+ one. ุงู„ู€ one ู…ุด ุฃูˆู„ูŠุŒ ุงุชูู‚ู†ุงุŒ ุงู„ู€ one ู…ุด ุฃูˆู„ูŠุŒ ูุฅุฐุง ู‡ูˆ
520
+
521
+ 131
522
+ 00:10:42,010 --> 00:10:49,070
523
+ ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏุŒ and it's not the product of two non-
524
+
525
+ 132
526
+ 00:10:49,070 --> 00:10:54,690
527
+ unity numbers. ูˆู‡ูˆ ู„ุง ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุญุงุตู„ ุถุฑุจ ุฑู‚ู…ูŠู†
528
+
529
+ 133
530
+ 00:10:54,690 --> 00:11:01,140
531
+ ุบูŠุฑ ุงู„ูˆุงุญุฏ. ุนุดุงู† ู…ุง ุชุฌูŠุด ุชู„ุบูŠู†ูŠ ุฅูŠุงู‡ุง ูˆุชู‚ูˆู„ ู„ูŠ: ู…ุง ู‡ูŠ
532
+
533
+ 134
534
+ 00:11:01,140 --> 00:11:05,520
535
+ ุงู„ูˆุงุญุฏุŒ ุฃูˆ ุณุจุนุฉ ููŠ ูˆุงุญุฏุŒ ุฃูˆ ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„ ุณุจุนุฉ ู‡ูŠ ุฃุตู„ุงู‹
536
+
537
+ 135
538
+ 00:11:05,520 --> 00:11:10,880
539
+ primeุŒ ุชู‚ูˆู„ ู„ูŠ ู…ุซู„ุงู‹: ุฃุฑุจุนุฉ ููŠ ูˆุงุญุฏุŒ ู„ุฃุŒ ุฏูŠุฑ ุจุงู„ูƒุŒ
540
+
541
+ 136
542
+ 00:11:10,880 --> 00:11:15,100
543
+ ุงู„ุฑู‚ู…ูŠู† ุงู„ู„ูŠ ู…ุง ุชุตู„ุญ ุฅู†ู‘ู‡ุง ุงู„ู€ prime ูŠูƒูˆู† ุถุฑุจู‡ู…
544
+
545
+ 137
546
+ 00:11:15,100 --> 00:11:20,400
547
+ ุงู„ุฑู‚ู…ูŠู† ู„ุงุฒู… ูŠูƒูˆู†ูˆุด ูˆุงุญุฏุŒ ู„ุง ุงู„ุฃูˆู„ ูˆุงุญุฏ ูˆู„ุง ุงู„ุซุงู†ูŠ
548
+
549
+ 138
550
+ 00:11:20,400 --> 00:11:26,200
551
+ ูˆุงุญุฏ. ูู‡ุฐู‡ ุจูŠู†ุงุช ููŠ ุฅูŠุดุŸ non-unityุŒ ู„ูŠุณ ููŠู‡ู… ุงู„ูˆุงุญุฏ.
552
+
553
+ 139
554
+ 00:11:26,200 --> 00:11:31,760
555
+ ุชู…ุงู…. ู‡ุฐุง ุงู„ูƒู„ุงู… ูƒุชุนุฑูŠู ู„ุบูˆูŠุŒ ูุงู‡ู…ูŠู†ู‡ุŒ ู„ุฃู†ู‘ ุงุญู†ุง
556
+
557
+ 140
558
+ 00:11:31,760 --> 00:11:34,520
559
+ ุนุงุฑููŠู† ุงู„ู€ primes ู…ู† ุงู„ู…ุณุจู‚ุŒ ุงู„ุฃุนุฏุงุฏ ุงู„ุฃูˆู„ู‰ ุนุงุฑููŠู†ู‡ุง
560
+
561
+ 141
562
+ 00:11:34,520 --> 00:11:38,820
563
+ ุงู„ู…ุณุจู‚. ุจุฏู†ุง ู†ุชุฑุฌู…ู‡ุง ุงู„ุขู† ุจุฑุถู‡ุŒ ู‡ู‚ูˆู„: ู„ูƒู„ู‘ ุงู„ุฃุฑู‚ุงู…
564
+
565
+ 142
566
+ 00:11:38,820 --> 00:11:46,760
567
+ ุฃูˆ ู„ูƒู„ู‘ุŒ for all xุŒ P(x). ูุฅุฐุง ู„ูƒู„ู‘ ู‚ูŠู… xุŒ x is prime
568
+
569
+ 143
570
+ 00:11:46,760 --> 00:11:54,780
571
+ ุจุณุŒ if and only ifุŒ ุฅุฐุง ูˆุฅุฐุง ูู‚ุทุŒ x ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏุŒ ุญุณุจ
572
+
573
+ 144
574
+ 00:11:54,780 --> 00:11:58,900
575
+ ุงู„ุชุนุฑูŠู. ู‡ูŠู†ุง ุจุฏุฃู†ุง ุจู€ x ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ. ุทูŠุจุŒ ุฅูŠุด ูƒู…ุงู†ุŸ ู„ุง
576
+
577
+ 145
578
+ 00:11:58,900 --> 00:12:06,500
579
+ ูŠูˆุฌุฏ ุฑู‚ู…ูŠู† ุถุฑุจู‡ู… ูŠุณุงูˆูŠ x. ู„ุง ูŠูˆุฌุฏุŒ ุฎู„ุตู†ุง ู‡ุฐุงุŒ and ู„ุง
580
+
581
+ 146
582
+ 00:12:06,500 --> 00:12:15,060
583
+ ูŠูˆุฌุฏุŒ ู…ุด ู‡ูŠ ู„ุง ูŠูˆุฌุฏุŒ there is no y zุŒ ู‡ุงูŠ ุฑู‚ู…ูŠู†ุŒ ู„ุง
584
+
585
+ 147
586
+ 00:12:15,060 --> 00:12:22,910
587
+ ูŠูˆุฌุฏ y ูˆ z ุถุฑุจู‡ู… ูŠุณุงูˆูŠ x. ุฅูŠุด ุถุงูŠู„ ููŠ ุงู„ุขุฎุฑุŸ ุจุณ ู†ุฃุฎุฐ
588
+
589
+ 148
590
+ 00:12:22,910 --> 00:12:25,870
591
+ ุจุงู„ู†ุง ู…ู† ุงู„ูˆุงุญุฏุŒ ุนุดุงู† ุงู„ูƒู…ุจูŠูˆุชุฑ ุจูŠูู‡ู…ุด ู„ุญุงู„ู‡.
592
+
593
+ 149
594
+ 00:12:25,870 --> 00:12:29,870
595
+ ุงู„ูƒู…ุจูŠูˆุชุฑ ุจูŠูู‡ู…ุด ู„ุญุงู„ู‡ุŒ ูุจุชุฌูŠ ุชู‚ูˆู„ู‡: and y ู„ุง ุชุณุงูˆูŠ
596
+
597
+ 150
598
+ 00:12:29,870 --> 00:12:34,130
599
+ ูˆุงุญุฏุŒ ูˆ z ู„ุง ุชุณุงูˆูŠ ูˆุงุญุฏุŒ ู„ุฃู†ู‘ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงุญู†ุง
600
+
601
+ 151
602
+ 00:12:34,130 --> 00:12:37,490
603
+ ู…ุง ู†ุชุนุงู…ู„ุด ู…ุน ุจุนุถุŒ ุงุญู†ุง ู…ุชุนุงู…ู„ูŠู† ู…ุน ุงู„ุญุงุณูˆุจุŒ ู…ุน ุดูˆูŠุฉ
604
+
605
+ 152
606
+ 00:12:37,490 --> 00:12:42,150
607
+ ุงู„ุฑู…ู„ ุงู„ู„ูŠ ุงุชุตู†ู‘ุนุช siliconeุŒ ูุตุงุฑ ูŠูู‡ู… ูˆูŠุงุฎุฐ ูˆูŠุนุทูŠ.
608
+
609
+ 153
610
+ 00:12:42,150 --> 00:12:47,390
611
+ ู…ุนู†ูŽุงู‡ุŒ ุนุดุงู† ู‡ูŠูƒ ู„ู…ุง ู†ูƒูˆู† ุฏู‚ูŠู‚ูŠู† ููŠ ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ ู…ุด
612
+
613
+ 154
614
+ 00:12:47,390 --> 00:12:50,490
615
+ ู„ุฃู†ู‘ู‡ ุจุฏู‘ูƒ ุชู‚ูˆู„ ู„ูŠ: ู…ุง ุงุญู†ุง ูุงู‡ู…ูŠู† ูŠุง ุฏูƒุชูˆุฑุŒ ู…ุงุดูŠุŒ ุจุณ ุฃู†ุชูŽ
616
+
617
+ 155
618
+ 00:12:50,490 --> 00:12:53,470
619
+ ู…ุด ุจุชูู‡ู…ู†ูŠ ุฃู†ุง ูˆู„ุง ุจุชูู‡ู… ุงุฒู‘ุงูŠุŒ ู„ูƒู† ุฃู†ุชูŽ ุจุฏู‘ูƒ ุชูู‡ู…
620
+
621
+ 156
622
+ 00:12:53,470 --> 00:12:59,250
623
+ ุงู„ุญุงุณูˆุจ. ุชู…ุงู…ุŒ ูู‡ูŠ ูƒุชุนุฑูŠูุŒ ุชู…ุงู…. ู‡ูŠูƒ ุงุญู†ุง ุจู†ูƒูˆู†
624
+
625
+ 157
626
+ 00:12:59,250 --> 00:13:03,350
627
+ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ููŠู…ุง ูŠุฎุต ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ุฎุงุตุฉ ุจู‡ุฐุง ุงู„ุฃุณุจูˆุน
628
+
629
+ 158
630
+ 00:13:03,350 --> 00:13:09,830
631
+ ุฎู„ุตู†ุงู‡ุงุŒ ูุจู†ู‚ุฏุฑ ู†ุฃุฎุฐ ู…ุฑุชุงุญูŠู† ุดูˆูŠุฉุŒ ุฃุณุฆู„ุฉ ุนู„ู‰ ู…ุญุชูˆู‰
632
+
633
+ 159
634
+ 00:13:09,830 --> 00:13:13,330
635
+ ุงู„ุฃุณุจูˆุน ุงู„ู„ูŠ ุงุญู†ุง ุงุดุชุบู„ู†ุง ููŠู‡. ุทุจุนุงู‹ ููŠ ุฃุณุฆู„ุฉ ูƒุชูŠุฑ
636
+
637
+ 160
638
+ 00:13:13,330 --> 00:13:18,850
639
+ ุจุณูŠุทุฉ. ุฃู†ุง ูƒู†ุช ุนุงู…ู„ ุญุณุงุจูŠ ุฅู†ู‘ู‡ ู…ุณุจู‚ุงู‹ ุฅู†ู‘ู‡ ููŠู‡ ุนุฏุฏ
640
+
641
+ 161
642
+ 00:13:18,850 --> 00:13:24,990
643
+ ูƒูˆูŠุณ. ูู„ูˆ ู‚ู„ู†ุง ู…ุซู„ุงู‹: P(x) ู‡ูŠ ุนุจุงุฑุฉ ุนู† the word x
644
+
645
+ 162
646
+ 00:13:24,990 --> 00:13:29,630
647
+ contains the letter A. ู„ูˆ ุงูุชุฑุถู†ุง ุฃู†ู‘ ุงู„ู€ predicate
648
+
649
+ 163
650
+ 00:13:29,630 --> 00:13:41,790
651
+ P ู‡ูŠ ุงู„ูƒู„ู…ุฉ x ุชุญุชูˆูŠ ุนู„ู‰ ุญุฑู A. ูู„ู…ุง ุฃุฌูŠ ุฃู‚ูˆู„ P(
652
+
653
+ 164
654
+ 00:13:41,790 --> 00:13:43,110
655
+ Orange)
656
+
657
+ 165
658
+ 00:13:46,590 --> 00:13:53,070
659
+ true ูˆู„ุง falseุŸ true
660
+
661
+ 223
662
+ 00:18:42,840 --> 00:18:46,650
663
+ proposition ุตุญุŸ ุฃู†ุช ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ู†ุงุณ ุจุชู‚ูˆู„ู‡ fortunately
664
+
665
+ 224
666
+ 00:18:46,650 --> 00:18:51,510
667
+ ุฃู†ุช ุญุฑ ู„ูƒู† ุจุฏูŠ ุฃุนุจุฑ ุนู†ู‡ุง ูƒู€ language ูˆุจุนุฏูŠู† ุจู†ู‚ูˆู„
668
+
669
+ 225
670
+ 00:18:51,510 --> 00:18:55,010
671
+ ุฃู† ุงู„ู€ language ู‡ุฐู‡ ูƒู€ language every comedian is
672
+
673
+ 226
674
+ 00:18:55,010 --> 00:19:00,450
675
+ funny ู‡ูŠ proposition ุนู†ุฏูƒ ุตุญุŸ ุนู†ุฏูƒ ุฎู„ุทุŒ ู…ุงููŠ ู…ุดูƒู„ุฉ
676
+
677
+ 227
678
+ 00:19:00,450 --> 00:19:04,230
679
+ .. ู…ุงููŠ ู…ุดูƒู„ุฉ ุจุณ ููŠ ุงู„ู†ู‡ุงูŠุฉ proposition ุทูŠุจ for
680
+
681
+ 228
682
+ 00:19:04,230 --> 00:19:12,470
683
+ all x c of x and f of x comedian and funny
684
+
685
+ 229
686
+ 00:19:18,200 --> 00:19:21,240
687
+ ุฃูŠ funny and comedian ูุจู†ุณู…ูŠู‡ funny comedian
688
+
689
+ 230
690
+ 00:19:21,240 --> 00:19:26,660
691
+ ูŠุนู†ูŠ ู„ุบุฉ ู…ุด ุฃูƒุซุฑ ู…ู† ู‡ูŠูƒ ูุจุฏูƒ ุชุณู…ูŠู‡ู… ูˆุชุญุทู‡ู… ูˆุงุญุฏ
692
+
693
+ 231
694
+ 00:19:26,660 --> 00:19:30,180
695
+ ุตูุฉ ู„ู„ุชุงู†ูŠ ู…ุนู†ุงุชู‡ ุงู„ุงุชู†ูŠู† ู…ู‚ุชุฑู†ูŠู† ุจุจุนุถุŒ ู…ุนู†ุงุชู‡ and
696
+
697
+ 232
698
+ 00:19:30,180 --> 00:19:38,260
699
+ ุทูŠุจ there exist cx implies f of x ูŠูˆุฌุฏ
700
+
701
+ 233
702
+ 00:19:39,610 --> 00:19:44,750
703
+ ูŠูˆุฌุฏ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ูƒูˆู…ูŠุฏูŠ funnyุŒ ุนู„ู‰ ุงู„ุฃู‚ู„ ูŠูˆุฌุฏ
704
+
705
+ 234
706
+ 00:19:44,750 --> 00:19:48,850
707
+ ูƒูˆู…ูŠุฏูŠ funnyุŒ ู‡ุฐู‡ ู…ู…ูƒู† ุชุตุญ ู…ุน ู…ุตุทู„ุญูƒ ุฃูˆ ุฃู†ุช ูƒูŠู
708
+
709
+ 235
710
+ 00:19:48,850 --> 00:19:53,970
711
+ ุดุงูŠูู‡ุงุŸ there exist a person such that ุฃู† ู‡ูˆ
712
+
713
+ 236
714
+ 00:19:53,970 --> 00:19:59,290
715
+ comedian ุฅุฐุง ูƒุงู† ู‡ูˆ comedian ูู‡ูˆ funny ุงู„ูƒู„ุงู… ุฏู‡
716
+
717
+ 237
718
+ 00:19:59,290 --> 00:20:02,310
719
+ ู„ูŠุณ ู„ู„ูƒู„ุŒ ุนู„ู‰ ุงู„ุฃู‚ู„ ููŠ ูˆุงุญุฏ ุฃูˆ ุงุชู†ูŠู† ุฃูˆ ุซู„ุงุซุฉ ุญุณุจ
720
+
721
+ 238
722
+ 00:20:02,310 --> 00:20:06,750
723
+ ุฃู‡ูˆุงูƒ ูˆุฃู†ุช ูƒูŠู ุชุดูˆู ุงู„ู€ comedians ุงู„ู„ูŠ ุญูˆู„ู†ุง ุทูŠุจ
724
+
725
+ 239
726
+ 00:20:06,750 --> 00:20:14,450
727
+ there exist x, c of x and f of x ูุฅุฐุง ุชู‚ุฏุฑ ุชู‚ูˆู„
728
+
729
+ 240
730
+ 00:20:14,450 --> 00:20:19,250
731
+ some ุฃูˆ there exist ุฃูˆ some comedians are funny
732
+
733
+ 241
734
+ 00:20:19,250 --> 00:20:23,430
735
+ ุจุฑุถู‡ ุจุชู…ุดูŠ ู…ุน ู…ุตุทู„ุญูƒ ุฃูˆ ุทุฑูŠู‚ุฉ ูˆุฌู‡ุฉ ู†ุธุฑูƒ ููŠ ุงู„ู…ูˆุถูˆุน
736
+
737
+ 242
738
+ 00:20:23,430 --> 00:20:28,850
739
+ ุงู„ู„ูŠ ู‡ูˆ some comedians are funny ู…ุงุดูŠุŒ ูŠุนู†ูŠ ูˆุฌู‡ุฉ
740
+
741
+ 243
742
+ 00:20:28,850 --> 00:20:31,530
743
+ ู†ุธุฑูƒ ุฃู†ุช ุดุงูŠูู‡ุง true okayุŒ ููŠ ุบูŠุฑูƒ ุจูŠุดูˆูู‡ุง
744
+
745
+ 244
746
+ 00:20:31,530 --> 00:20:36,190
747
+ ู…ุฎุชู„ูุฉุŒ ูŠุนู†ูŠ ุดูˆูŠุฉ ูˆุฅู„ุง ูƒุงู† ู…ุง ุตู†ู‘ูุชุด ู…ู† ุงู„ุฃุตู„ ุฃู† ู‡ูˆ
748
+
749
+ 245
750
+ 00:20:36,190 --> 00:20:40,670
751
+ comedian ุตุญูŠุญุŒ ุจุณ ุฃูƒูŠุฏ ููŠ ู†ุงุณ ู…ุฎุชู„ููŠู† ู…ุนูƒ ูˆุฅู„ุง ูƒุงู†
752
+
753
+ 246
754
+ 00:20:40,670 --> 00:20:41,970
755
+ ู…ุง ุตู†ู‘ูุชุด ู…ู† ุงู„ุฃุณุงุณ comedian
756
+
757
+ 247
758
+ 00:20:44,720 --> 00:20:49,480
759
+ Okay ุทุจ ูƒู…ุงู† ุณุคุงู„ุŒ ุฃู†ุง ุจู„ุงุญุธ ุจุญุงูˆู„ ุฃู† ุฃู‚ูˆู„ ู„ูƒ
760
+
761
+ 248
762
+ 00:20:49,480 --> 00:20:52,920
763
+ ุงู„ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ุจุชูŠุฌูŠ ููŠ ู‡ูŠูƒ.. ููŠ ู‡ูŠูƒ ู…ูˆุถูˆุน ุฌุจู†ุงู‡ุง
764
+
765
+ 249
766
+ 00:20:52,920 --> 00:20:56,520
767
+ ู…ุฑุฉ ุจู€ predicate ูˆุงุญุฏุŒ ู…ุฑุฉ ู…ู† language ู„ู€
768
+
769
+ 250
770
+ 00:20:56,520 --> 00:20:59,420
771
+ mathematical formุŒ ู…ุฑุฉ ู…ู† mathematical form ู„ู€
772
+
773
+ 251
774
+ 00:20:59,420 --> 00:21:05,160
775
+ language ูˆู‡ูƒุฐุงุŒ ุจู†ุบูŠุฑู‡ุง ู„ุฅูŠุดุŸ ู„ู€ mathematical..
776
+
777
+ 252
778
+ 00:21:05,160 --> 00:21:08,630
779
+ ู…ู† language ู„ู€ mathematical form ู†ูุณ ุงู„ุดูŠุก ู„ูˆ
780
+
781
+ 253
782
+ 00:21:08,630 --> 00:21:14,650
783
+ ุงูุชุฑุถู†ุง ุฃู† P of X .. X is perfectุŒ F of X .. X is
784
+
785
+ 254
786
+ 00:21:14,650 --> 00:21:20,970
787
+ your friend ูˆุจุฏู†ุง ู…ุฌู…ูˆุนุฉ mathematical language
788
+
789
+ 255
790
+ 00:21:20,970 --> 00:21:23,350
791
+ ุจุฏู†ุง ู†ุญูˆู„ู‡ุง ู„ู…ุซู„ ูƒุฏู‡ ุงู„ู€ expression no one is
792
+
793
+ 256
794
+ 00:21:23,350 --> 00:21:30,350
795
+ perfect ู…ุนู†ุงุชู‡ for all negation ุจุงู„ุธุจุท for all
796
+
797
+ 257
798
+ 00:21:30,350 --> 00:21:38,390
799
+ negation ุทูŠุจ not everyone is perfect ู„ูŠุณ ูƒู„ ูˆุงุญุฏ ุจุณ
800
+
801
+ 258
802
+ 00:21:38,390 --> 00:21:45,570
803
+ let there exist ูุฅุฐุง ู„ูŠุณ ุงู„ูƒู„.. ุฅูŠุด ุจู†ุณู…ูŠู‡ุงุŸ ู„ูŠุณ
804
+
805
+ 259
806
+ 00:21:45,570 --> 00:21:50,150
807
+ ุงู„ูƒู„ perfectุŒ ู„ูŠุณ ุงู„ูƒู„ perfectุŒ ุทูŠุจ all your friends
808
+
809
+ 260
810
+ 00:21:50,150 --> 00:21:56,990
811
+ are perfect ุฅุฐุง ู‡ูˆ ุตุฏูŠู‚ูƒ ูู‡ูˆ perfect ุตุญูŠุญุŸ ูุฅุฐุง
812
+
813
+ 261
814
+ 00:21:56,990 --> 00:22:03,370
815
+ implication ุฅุฐุง ู‡ูˆ ุตุฏูŠู‚ูƒ ูู‡ูˆ perfectุŒ ุทูŠุจ at least
816
+
817
+ 262
818
+ 00:22:03,370 --> 00:22:06,770
819
+ ุจุงูŠู†ุฉ ู„ุญุงู„ู‡ุง at least one of your friends is
820
+
821
+ 263
822
+ 00:22:06,770 --> 00:22:13,350
823
+ perfect ู there exist ูŠู„ุง ุทูŠุจ ูˆุจูŠู‡ูŠุฃู„ูŠ ุดุฑุญู†ุงู‡ุง
824
+
825
+ 264
826
+ 00:22:13,350 --> 00:22:15,810
827
+ ู‚ุจู„ ู‡ูŠูƒุŒ ู‚ู„ู†ุง ุฃู† for all ุจุชุงุฎุฏ ุฏุงุฆู…ุงู‹ implication
828
+
829
+ 265
830
+ 00:22:15,810 --> 00:22:20,590
831
+ there exist ุจุชุงุฎุฏ andุŒ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุชูƒู„ู…ู†ุง ุนู†
832
+
833
+ 266
834
+ 00:22:20,590 --> 00:22:24,930
835
+ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ูˆุดุฑุญู†ุงู‡ุง ุจุชูˆุณุน ูŠุนู†ูŠุŒ ูู…ู…ูƒู† ุชุฑุฌุน ู„ู„ู€
836
+
837
+ 267
838
+ 00:22:24,930 --> 00:22:29,240
839
+ video ุฅุฐุง ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ููŠู‡ุง ุชู…ุงู…ุŒ everyone is your
840
+
841
+ 268
842
+ 00:22:29,240 --> 00:22:35,360
843
+ friend and is perfect ููƒู„ ุงู„ู†ุงุณ ู‡ู… ุฃุตุฏู‚ุงุคูƒ ูˆู‡ู…
844
+
845
+ 269
846
+ 00:22:35,360 --> 00:22:41,940
847
+ perfect ู for all ู„ู„ูƒู„ุŒ ู†ุนู…
848
+
849
+ 270
850
+ 00:22:41,940 --> 00:22:46,680
851
+ implication
852
+
853
+ 271
854
+ 00:22:46,680 --> 00:22:50,980
855
+ ุจุตูุฉ ุนุงู…ุฉ ุฅุฐุง ู…ุง ูƒุงู†.. ุขู‡ ู„ุณู‡ ุจุฏูŠ ุฃุญูƒูŠ ุฅุฐุง ู…ุง ูƒุงู†ุด
856
+
857
+ 272
858
+ 00:22:50,980 --> 00:22:55,420
859
+ ุงู„ู€.. ููŠ ู‚ูˆุณ ูˆููŠ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ ุฎุตูˆุตูŠุฉ ุซุงู†ูŠุฉ
860
+
861
+ 273
862
+ 00:22:58,380 --> 00:23:01,880
863
+ by conditional ุขู‡ ุขู‡ ุงุณุชู†ู‰ ุงุณุชู†ู‰ ุงุณุชู†ู‰ by
864
+
865
+ 274
866
+ 00:23:01,880 --> 00:23:05,380
867
+ conditional ุฅุญู†ุง ุฃุฎุฐู†ุงู‡ุง ูƒุงู† ู„ู‡ุง definition ูƒุงู† ู„ู‡ุง
868
+
869
+ 275
870
+ 00:23:05,380 --> 00:23:11,200
871
+ ุชุนุฑูŠูุŒ ุงู„ุชุนุฑูŠู ูƒุงู† if and only if ู„ู…ุง ุฃุฎุฐู†ุงู‡ุง
872
+
873
+ 276
874
+ 00:23:11,200 --> 00:23:14,040
875
+ ุฌุงุจ ู„ู…ุง ู†ุจุฏุฃ ููŠ ุงู„ุญู„ูˆู„ุŒ ู„ู…ุง ุฌุงุจ ู„ู…ุง ู†ุจุฏุฃ ููŠ ุงู„ุญู„ูˆู„
876
+
877
+ 277
878
+ 00:23:14,040 --> 00:23:17,180
879
+ ูƒุงู† definition ู…ุนู†ุงู‡ ุฐู„ูƒ ๏ฟฝ๏ฟฝู† ู‡ูŠ ู„ูŠุณุช implication
880
+
881
+ 278
882
+ 00:23:17,180 --> 00:23:22,880
883
+ ุจุตูˆุฑุชู‡ุง ุงู„ู…ุจุณุทุฉ ุงู„ู„ูŠ ุฃู†ุช ูุงู‡ู…ู‡ุงุŒ ู„ุฃ ุฏู‡ ูƒุงู† compound
884
+
885
+ 279
886
+ 00:23:22,880 --> 00:23:26,150
887
+ statement ูƒุงู† ุนุจุงุฑุฉ ุนู† compound statement ุงู„ู€
888
+
889
+ 280
890
+ 00:23:26,150 --> 00:23:29,870
891
+ compound statement ุจู‚ูˆู„ ู„ูƒ ุงู„ู€ a ุจู‚ูˆู„ ู„ูƒ ุฃู† ุงู„ู€ number
892
+
893
+ 281
894
+ 00:23:29,870 --> 00:23:34,110
895
+ is even if and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and
896
+
897
+ 282
898
+ 00:23:34,110 --> 00:23:35,270
899
+ only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด
900
+
901
+ 283
902
+ 00:23:35,270 --> 00:23:36,270
903
+ ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if
904
+
905
+ 284
906
+ 00:23:36,270 --> 00:23:36,550
907
+ ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ
908
+
909
+ 285
910
+ 00:23:36,550 --> 00:23:37,650
911
+ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and
912
+
913
+ 286
914
+ 00:23:37,650 --> 00:23:40,670
915
+ only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด
916
+
917
+ 287
918
+ 00:23:40,670 --> 00:23:45,930
919
+ ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…ู‡ูŠู‡ุง if
920
+
921
+ 288
922
+ 00:23:45,930 --> 00:23:47,790
923
+ and only if ู…ุง ุชูŠุฌูŠุด ุชู‚ูˆู„ูŠ ู…
924
+
925
+ 289
926
+ 00:23:53,340 --> 00:23:57,360
927
+ Okay ุงุนู…ู„ implication ูุด ู…ุดูƒู„ุฉ ุจุณ ู…ุฏุงู… ุญุท ู„ูƒ
928
+
929
+ 290
930
+ 00:23:57,360 --> 00:24:02,380
931
+ ุฎุตูˆุตูŠุฉ ุจุนุฏู‡ุง ูˆุถุญ ู„ูƒ ุฅูŠุงู‡ุงุŒ ูŠุนู†ูŠ ุนู…ู„ emphasize ุนู„ูŠู‡ุง
932
+
933
+ 291
934
+ 00:24:02,380 --> 00:24:07,000
935
+ ุฃูƒุฏ ู„ูƒ ุนู„ูŠู‡ุง ู„ุฃ ุฎู„ุงุต ุฅุญู†ุง ูŠู‚ุนุฏ ูŠู‚ูˆู„ ู„ูƒ if and only if
936
+
937
+ 292
938
+ 00:24:07,000 --> 00:24:12,880
939
+ ู…ุง ุชูŠุฌูŠุด ุชุชุฑุฌู…ู‡ุง ุจุงู„ู€ implication ุทูŠุจ
940
+
941
+ 293
942
+ 00:24:12,880 --> 00:24:19,180
943
+ ูˆูŠู† ุฅุญู†ุง ูƒู†ุงุŸ okayุŒ ูƒุงู† ู‚ูˆู„ ุงู„ุฃุฎูŠุฑุฉ not everybody is
944
+
945
+ 294
946
+ 00:24:19,180 --> 00:24:25,070
947
+ your friend or someone is not perfect ูŠุนู†ูŠ ูˆุงุถุญ ุฅู†
948
+
949
+ 295
950
+ 00:24:25,070 --> 00:24:30,930
951
+ ู‡ู… ุนู† ุจุนุถ ู…ุฎุชู„ููŠู†ุŒ or ู‡ุฐู‡ ู‡ู†ุง expressionุŒ ู‡ู†ุงูƒ
952
+
953
+ 296
954
+ 00:24:30,930 --> 00:24:34,530
955
+ expression ุซุงู†ูŠ ู…ุฎุชู„ู ุชู…ุงู…ุงู‹ ูุจุฏูƒ ุชุนู…ู„ ูƒู„ ูˆุงุญุฏุฉ
956
+
957
+ 297
958
+ 00:24:34,530 --> 00:24:38,450
959
+ ู„ุญุงู„ ูˆุชุญุท ุจูŠู†ู‡ู… this junction ูˆุจุณ ุขู‡ ู„ุฃู† ู‡ู†ุงูƒ
960
+
961
+ 298
962
+ 00:24:38,450 --> 00:24:40,550
963
+ ุจุชุชูƒู„ู… ุนู† friendุŒ ู‡ู†ุง ุจุชุชูƒู„ู… ุนู† perfect ูˆู…ุงููŠุด
964
+
965
+ 299
966
+ 00:24:40,550 --> 00:24:46,590
967
+ relation between them ุจุงู„ู†ุณุจุฉ ู„ู€ C ูŠุนู†ูŠ ู„ูˆ ุญุทูŠู†ุง X
968
+
969
+ 300
970
+ 00:24:46,590 --> 00:24:47,330
971
+ and X
972
+
973
+ 301
974
+ 00:24:51,360 --> 00:24:55,020
975
+ ุขู‡ ู…ุนู†ู‰.. ู„ุฃ ู„ุฃ ุงุณุชู†ู‰ ู‡ูŠุฎุชู„ู ุงู„ู…ุนู†ู‰ ู„ุฃู†ู‡ ููŠ
976
+
977
+ 302
978
+ 00:24:55,020 --> 00:24:59,680
979
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฃู†ุช ุจุชู‚ูˆู„ ู‡ู†ุง all your friends are
980
+
981
+ 303
982
+ 00:24:59,680 --> 00:25:06,580
983
+ perfect ู…ุด ู‡ูŠูƒุŸ ููƒู„ ุฃุตุฏู‚ุงุฆูƒ perfect ุจุณ ู‡ู„ ู…ุนู†ู‰ ุฐู„ูƒ
984
+
985
+ 304
986
+ 00:25:06,580 --> 00:25:13,460
987
+ ุฃู†ู‡ ู„ูˆ ู…ุด ุตุฏูŠู‚ูƒ ู…ุนู†ุงุชู‡ ู…ุด perfectุŸ ุตุญุŸ ู…ุง ุญุฏุด ู‚ุงู„
988
+
989
+ 305
990
+ 00:25:13,460 --> 00:25:17,180
991
+ ุฃู†ู‡ ู„ุฃ ู…ุด perfect okay ูู„ุงู† ู…ุด ุตุฏูŠู‚ูƒ ุจุณ ู‡ุฐุง ู…ุด
992
+
993
+ 306
994
+ 00:25:17,180 --> 00:25:20,100
995
+ ู…ุนู†ุงู‡ ุฃู†ูƒ ุฃู†ุช ุงู„ุฌู…ู„ุฉ ู‡ุฐู‡ ุชุดู…ู„ ุฃู† ู‡ูˆ not perfect
996
+
997
+ 307
998
+ 00:25:22,870 --> 00:25:27,970
999
+ ู„ุงุญุธุชุŸ ุฃู†ุง ู‡ู†ุง ุจู‚ูˆู„ ูƒู„ ุฃุตุฏู‚ุงุฆูƒ perfect ุชู…ุงู…ุŸ ูุฅุฐุง
1000
+
1001
+ 308
1002
+ 00:25:27,970 --> 00:25:32,930
1003
+ ุฅุฐุง ู‡ู… ุฃุตุฏู‚ุงุฆูƒ perfectุŒ ุทุจ ุฅุฐุง ู…ุด ุฃุตุฏู‚ุงุฆูƒ ู…ู…ูƒู†
1004
+
1005
+ 309
1006
+ 00:25:32,930 --> 00:25:36,590
1007
+ ูŠูƒูˆู†ูˆุง perfectุŒ ูู„ูŠุด ุชุญูƒูŠ ุนู†ู‡ู… ุจู€ and ูˆุชู†ู‚ู„ ุงู„ุตูุฉ
1008
+
1009
+ 310
1010
+ 00:25:36,590 --> 00:25:40,470
1011
+ ุนู†ู‡ู… ู‡ูŠูƒุŸ ู„ูŠุดุŸ ู„ู…ุฌุฑุฏ ุฅู†ู‡ ู‡ุฐู‡ ูƒุงู†ุช true ู„ุฃู† ู‡ู…
1012
+
1013
+ 311
1014
+ 00:25:40,470 --> 00:25:45,270
1015
+ perfect ู„ูƒู† ู‡ู… ู…ุด ุฃุตุฏู‚ุงุฆูƒุŒ ู„ู…ุง ุชู…ุงู†ู‡ู… and ุตุงุฑุช
1016
+
1017
+ 312
1018
+ 00:25:45,270 --> 00:25:51,700
1019
+ false and true ุงู„ุฌู…ู„ุฉ ุงู„ู…ุฌู…ู„ false ูˆู‡ุฐุง ู…ุด ุตุญูŠุญุŒ ู‡ูŠูƒ
1020
+
1021
+ 313
1022
+ 00:25:51,700 --> 00:25:55,480
1023
+ ู…ุด ุตุญูŠุญุŒ ุฃู…ุง ุงู„ู€ implication ุฃูƒุซุฑ ูˆุงู‚ุนูŠุฉ ุฃู†ู‡ ุญุชู‰ ู„ูˆ
1024
+
1025
+ 314
1026
+ 00:25:55,480 --> 00:25:58,360
1027
+ ู…ุด ุตุงุญุจูƒ ู…ู…ูƒู† ูŠูƒูˆู† perfectุŒ ู„ูŠุด ุฃู†ุช ุชุญูƒู… ุนู„ู‰ ูƒู„
1028
+
1029
+ 315
1030
+ 00:25:58,360 --> 00:26:00,940
1031
+ ุงู„ุจุดุฑูŠุฉ ุฃู† ู‡ู… ู…ุด perfect ู„ู…ุฌุฑุฏ ุฃู† ู‡ู… ู…ุด ุฃุตุฏู‚ุงุฆูƒ
1032
+
1033
+ 316
1034
+ 00:26:00,940 --> 00:26:07,100
1035
+ ุชู…ุงู…ุŒ ูุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ุฃุฎูŠุฑุฉ ู‡ุฐู‡ ู‡ู…ุง ุฌู…ู„ุชูŠู† ู…ุฎุชู„ูุชูŠู† ุนู†
1036
+
1037
+ 317
1038
+ 00:26:07,100 --> 00:26:12,860
1039
+ ุจุนุถุŒ ู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† every one ูˆุนู† predicate friend
1040
+
1041
+ 318
1042
+ 00:26:12,860 --> 00:26:16,460
1043
+ ูˆู‡ู†ุง ุจู†ุชูƒู„ู… ุนู† predicate ุซุงู†ูŠ ู…ุฎุชู„ู ูˆุจู€
1044
+
1045
+ 319
1046
+ 00:26:16,460 --> 00:26:20,240
1047
+ quantifier ู…ุฎุชู„ู ุชู…ุงู…ุงู‹ ูู…ู…ูƒู† ูƒู„ ูˆุงุญุฏ ู„ุญุงู„ู‡ุŒ ุชุฑุจุทู‡ู…
1048
+
1049
+ 320
1050
+ 00:26:20,240 --> 00:26:23,220
1051
+ ุญุณุจ ุฅูŠุด ุงู„ุฑุงุจุทุŸ ุงู„ุฑุงุจุท ุงู„ู„ูŠ ู‡ู†ุง ู‡ูˆ is or ูุจุชุญุท ุงู„ู€
1052
+
1053
+ 321
1054
+ 00:26:23,220 --> 00:26:28,200
1055
+ this junction okay
1056
+
1057
+ 322
1058
+ 00:26:28,200 --> 00:26:33,600
1059
+ ู‡ู†ุง ุฅูŠุด ู…ุทู„ูˆุจุŸ ุงู„ุณุคุงู„ ู‡ุฐุง ุทุงู„ุจูŠู† ู†ุนู…ู„ negation ุจุฏูƒ
1060
+
1061
+ 323
1062
+ 00:26:33,600 --> 00:26:37,940
1063
+ ุชุนู…ู„ negation ู„ู„ุฌู…ู„ุฉ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒุŒ ู„ู…ุง ู†ู‚ูˆู„ for
1064
+
1065
+ 324
1066
+ 00:26:37,940 --> 00:26:50,280
1067
+ all xุŒ x greater than one ุจุฏูƒ ุชู†ููŠู‡ุง ุนู„ู‰
1068
+
1069
+ 325
1070
+ 00:26:50,280 --> 00:26:56,280
1071
+ ุฎุท ุงู„ุฃุนุฏุงุฏุŒ ู‡ุงูŠ ุตูุฑุŒ ู‡ุงูŠ oneุŒ ูƒู„ ู‚ูŠู… x ุฃูƒุจุฑ
1072
+
1073
+ 326
1074
+ 00:26:58,580 --> 00:27:02,840
1075
+ ู…ู† ูˆุงุญุฏ ุทูŠุจ
1076
+
1077
+ 327
1078
+ 00:27:02,840 --> 00:27:06,340
1079
+ ุฅู† ููŠู‡ุง ุฅุญู†ุง ุจุฏู†ุง ู†ุนู…ู„ negationุŒ ุฅูŠุด ุงู„ู…ูุฑูˆุถ ุฃู‚ูˆู„ุŸ
1080
+
1081
+ 328
1082
+ 00:27:06,340 --> 00:27:10,820
1083
+ ุงู„ู…ูุฑูˆุถ ุฃูŠ expression ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ุฃู†ู‡ ู„ุง ูŠูˆุฌุฏ
1084
+
1085
+ 329
1086
+ 00:27:10,820 --> 00:27:15,620
1087
+ ุญุฏ ู‡ู†ุง ุจุงู„ุธุจุท
1088
+
1089
+ 330
1090
+ 00:27:15,620 --> 00:27:20,080
1091
+ ู‡ุฐู‡ ู…ุจุฏุฆูŠุงู‹ ุจุณ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ negation ูŠุนู†ูŠ ุจุฏูŠ ุฃู†
1092
+
1093
+ 331
1094
+ 00:27:20,080 --> 00:27:27,020
1095
+ ููŠู‡ุง ุจู…ุนู†ู‰ ุฃู† ุฃู†ุง ุจุฏูŠ ุฃุชุตุฑู ู‡ูŠูƒ what
1096
+
1097
+ 332
1098
+ 00:27:27,020 --> 00:27:35,930
1099
+ hit ุจูŠู†ุช ู…ุนู†ุง negation ูู‡ุชุตุจุญ ุนูƒุณ there exist x
1100
+
1101
+ 333
1102
+ 00:27:35,930 --> 00:27:42,090
1103
+ ุฃู‚ู„ ุฃูˆ ุฃุตุบุฑ ู…ู† ูˆุงุญุฏุŒ ู…ุนู†ุง ุฐู„ูƒ ุฃู† ุฃู†ุช ุนุดุงู† ุชู†ููŠ
1104
+
1105
+ 334
1106
+ 00:27:42,090 --> 00:27:51,890
1107
+ ุงู„ุฌู…ู„ุฉ ู‡ุฐู‡ุŒ ู…ุนู†ุง ุฌู…ู„ุฉุŸ ุนุดุงู† ุชู†ููŠ ู‡ุฐู‡ for all ุฅูŠุด
1108
+
1109
+ 335
1110
+ 00:27:51,890 --> 00:27:57,030
1111
+ ู…ุนู†ุง for allุŸ ุฅู† ู‡ู†ุง zero
1112
+
1113
+ 336
1114
+ 00:27:58,380 --> 00:28:05,080
1115
+ ุตุญุŸ zero ุชู…ุงู…ุงู‹ุŒ ูƒู„ู‡ ู‡ู†ุง ุทูŠุจ ูŠูƒููŠ ูˆุงุญุฏ ู…ูˆุฌูˆุฏ ู‡ู†ุง
1116
+
1117
+ 337
1118
+ 00:28:05,080 --> 00:28:13,360
1119
+ ุนุดุงู† ุงู„ู€ for all ู‡ุฐู‡ ุชุตุจุญ false ุตุญุŸ
1120
+
1121
+ 338
1122
+ 00:28:13,360 --> 00:28:17,890
1123
+ ูˆุงุญุฏ ุจุณ ูŠูƒููŠ ุฃูˆ ุฃูƒุซุฑ ู…ุง ู‡ูˆ okay ู…ุงููŠุด ู…ุดูƒู„ุฉ ุฃูƒุซุฑ
1124
+
1125
+ 339
1126
+ 00:28:17,890 --> 00:28:22,170
1127
+ ุฃูƒุซุฑ ุจูŠู…ุดูŠ ุงู„ุญุงู„ ุจุณ ู…ุฏุงู… ู‚ุงู„ ู„ูŠ for all ู…ุนู†ุงุชู‡ ุฃู†ุง
1128
+
1129
+ 340
1130
+ 00:28:22,170 --> 00:28:25,350
1131
+ ุนุดุงู† ุฃุบูŠุธู‡ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ ุจุฏูŠ ุจุณ ุฃุทู„ุนู‡ ูˆุงุญุฏ ููŠ
1132
+
1133
+ 341
1134
+ 00:28:25,350 --> 00:28:28,190
1135
+ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‚ูˆู„ู‡ ุฃู† ู‡ูˆ for all ู‚ุงู„ ูˆุงู„ู„ู‡ ุฃู†ู‡
1136
+
1137
+ 342
1138
+ 00:28:28,190 --> 00:28:32,070
1139
+ ู†ุถู ุงู„ู‚ุงุนุฉ ุชู…ุงู…ุงู‹ุŒ ุฃู†ุง ู…ุด ู…ุญุชุงุฌ ุฃูˆุตู„ ู„ูƒู„ู‡ุง ุจุณ ูˆุฑุง
1140
+
1141
+ 343
1142
+ 00:28:32,070 --> 00:28:36,130
1143
+ ุฌุงูŠูƒ ูˆุงุญุฏุฉ ุฃุฑู…ูŠู‡ุง ููŠ ุงู„ู†ุต ูˆุฎู„ูŠ ุงู„ู…ุดุฑู ูŠุฌูŠ ูŠุชูุฑุฌ ู…ุด
1144
+
1145
+ 344
1146
+ 00:28:36,130 --> 00:28:43,110
1147
+ ู‡ูŠูƒ ูŠูƒููŠ ูˆุงุญุฏุฉ ู…ุง ู‡ูŠ ู‡ูŠ ูู‡ูŠ ุงู„ููƒุฑุฉ ูƒู„ู‡ุง ุจุณ ูˆุงุญุฏ ูู‚ุท
1148
+
1149
+ 345
1150
+ 00:28:43,110 --> 00:28:48,590
1151
+ ูู‡ูŠ ู‡ูŠ ุงู„ูˆุงุญุฏ there exist x ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุจุณ
1152
+
1153
+ 346
1154
+ 00:28:48,590 --> 00:28:56,570
1155
+ ูˆุงุญุฏุŒ ู†ููŠู†ุงู‡ุง ุฎู„ุตู†ุง ุทูŠุจ ุงุชูุถู„ ุนูƒุณู‡ุง
1156
+
1157
+ 347
1158
+ 00:28:56,570 --> 00:29:03,010
1159
+ ู„ุงุญุธ ู‡ู†ุง ู‡ุฐู‡ ุฃูƒุจุฑ ู…ู†ุŒ ุนูƒุณ ุงู„ุฃูƒุจุฑ ู…ู† ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ
1160
+
1161
+ 348
1162
+ 00:29:03,010 --> 00:29:09,560
1163
+ ู„ุฃู† ู‡ู†ุง ุงู„ูˆุงุญุฏ ุบูŠุฑ ู…ุดู…ูˆู„ ู‡ู†ุง ุงู„ู€ x ุฃูƒุจุฑ ู…ู† ูˆุงุญุฏ ูุฅุฐุง
1164
+
1165
+ 349
1166
+ 00:29:09,560 --> 00:29:17,740
1167
+ ุงู„ูˆุงุญุฏ ุบูŠุฑ ู…ุดู…ูˆู„ ุฃุตุบุฑ ู…ู† ุจุณ ุฃูƒุจุฑ
1168
+
1169
+ 350
1170
+ 00:29:17,740 --> 00:29:21,180
1171
+ ุฃูˆ ูŠุณุงูˆูŠ ุจุงู„ุธุจุท ุฒูŠ ู‡ุง ูŠูˆู… ุฌูŠู†ุงูƒุŒ ุฌูŠู†ุงูƒ ู‡ูŠ ุฌูŠุงูƒ ุงู„ู„ูŠ
1172
+
1173
+ 351
1174
+ 00:29:21,180 --> 00:29:26,900
1175
+ ูˆุฑุงู‡ุง ู‡ูŠ ุงู„ู„ูŠ ูˆุฑุงู‡ุงุŒ ุฅูŠุดุŸ ุนูƒุณุช ู„ูƒ ู†ูุณ ุงู„ูƒู„ุงู… ูƒู„ู‡ ูƒู†ุง
1176
+
1177
+ 352
1178
+ 00:29:26,900 --> 00:29:30,040
1179
+ ู‡ู†ุง ุจุฏูˆู† ูŠุณุงูˆูŠุŒ ู‡ูŠุญุท ู„ูƒ ุงู„ูŠุณุงูˆูŠุŒ ูƒู†ุง ุฃูƒุจุฑ ู…ู†ู‡ ุตุงุฑุช
1180
+
1181
+ 353
1182
+ 00:29:30,040 --> 00:29:36,500
1183
+ ุฃุตุบุฑ ู…ู†ู‡ุŒ ุงู„ู…ูู‡ูˆู… ู‡ูˆ ู‡ูˆ ุจุณ ู‡ู†ุฑุฌุน ู†ุฑุณู…ู‡ ู‡ูŠุตุจุญ ูƒุชุงู„ูŠ
1184
+
1185
+ 354
1186
+ 00:29:40,480 --> 00:29:48,460
1187
+ ูƒู„ู‡ ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุงุซู†ูŠู†ุŒ ูˆู„ุงุญุธ ุนู…ู„ุชู‡ุง solidุŒ
1188
+
1189
+ 355
1190
+ 00:29:48,460 --> 00:29:53,580
1191
+ solid ุจู…ุนู†ู‰ ุฃู† ุงู„ุงุซู†ูŠู† ู…ุดู…ูˆู„ุฉุŒ ู…ุนู†ุงุชู‡ ุฃู†ุช ุจุฏูƒ ุนู„ู‰
1192
+
1193
+ 356
1194
+ 00:29:53,580 --> 00:29:59,320
1195
+ ุงู„ุฃู‚ู„ ูˆุงุญุฏ ู‡ู†ุง ุจุณ ุฃูƒุจุฑ ู…ู† ู‚ุฏ ุงูŠุดุŸ ู…ู† ุงุซู†ูŠู†ุŒ ุจู‚ูˆู„ุด ุฃูˆ
1196
+
1197
+ 357
1198
+ 00:29:59,320 --> 00:30:04,420
1199
+ ูŠุณุงูˆูŠุŒ ูุด ุฃูˆ ูŠุณุงูˆูŠุŒ ุฃูˆ ูŠุณุงูˆูŠ ู…ุนู†ุงุชู‡ ุตุงุฑุช ู…ุดู…ูˆู„ุฉ ู…ุน
1200
+
1201
+ 358
1202
+ 00:30:04,420 --> 00:30:10,430
1203
+ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ ุชู…ุงู…ุŒ ูุชูˆู‚ุน ููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุทูŠุจ ุญุชู‰
1204
+
1205
+ 359
1206
+ 00:30:10,430 --> 00:30:14,010
1207
+ ุงู„ุซุงู„ุซุฉ ุจุฑุถู‡ ููŠุด ููŠู‡ุง ู…ุดูƒู„ุฉ ุจุชู‡ูŠุฃ ู„ูŠุŸ ุฎู„ุงุต ู‡ุฐู‡
1208
+
1209
+ 360
1210
+ 00:30:14,010 --> 00:30:20,710
1211
+ ุจุฑุถู‡ ู…ุงููŠู‡ุง ู…ุดูƒู„ุฉุŒ ู„ู„ุฑุงุจุนุฉ ู†ูุณ ุงู„ุดูŠุก ุจุฑุถู‡ ู…ุด ุฌุซุฉ ุงู„ู€
1212
+
1213
+ 361
1214
+ 00:30:20,710 --> 00:30:24,190
1215
+ there exist ูŠูˆุฌุฏุŒ ู‡ูŠ ุงู„ููƒุฑุฉ ุงู„ูˆุญูŠุฏุฉ ูƒุงู†ุช ุงู„ู€ there
1216
+
1217
+ 362
1218
+ 00:30:24,190 --> 00:30:27,810
1219
+ exist ุฃู† ูŠูˆุฌุฏ ุนู„ู‰ ุงู„ุฃู‚ู„ ูˆุงุญุฏุŒ ุฅุญู†ุง ุจู†ู‚ูˆู„ ู„ุฃ ุจุฏูŠ
1220
+
1221
+ 363
1222
+ 00:30:27,810 --> 00:30:31,130
1223
+ ุฃู†ููŠ ุงู„ูˆุงุญุฏ ู‡ุฐุง ูุจู‚ูˆู„ ูƒู„ู‡ ุจุงู„ุนูƒุณ ูุจุฃุถู…ู† ุฃู† ู…ุงููŠุด
1224
+
1225
+ 364
1226
+ 00:30:31,130 --> 00:30:36,990
1227
+ ูˆู„ุง ูˆุงุญุฏ ููŠ ุงู„ุฅูŠุฌุงุจุŒ ุจุณ ู†ุฃุฎุฐ ุงู„ู€ E ู‡ุงู„ูˆู‚ุชุŒ ุงู„ู€ E ุจุฏู†ุง
1228
+
1229
+ 365
1230
+ 00:30:36,990 --> 00:30:41,910
1231
+ ู†ูู‡ู…ู‡ุง ู„ุฅู†ู‡ ุทูˆุฑุช ุดูˆูŠุฉ ุงู„ู…ูู‡ูˆู…ุŒ ุตุงุฑุช ุงู„ุงุซู†ูŠู† ู…ุน ุจุนุถ
1232
+
1233
+ 366
1234
+ 00:30:45,750 --> 00:30:53,930
1235
+ ู…ู† ุงุซู†ูŠู† ุณุงู„ุจ ูˆุงุญุฏุŒ ุณุงู„ุจ one ูˆู‡ู†ุง two ูˆู‡ู†ุง ุจูŠู‚ูˆู„ ู„ูƒ
1236
+
1237
+ 367
1238
+ 00:30:53,930 --> 00:31:02,550
1239
+ or ูุฅุฐุง ู…ู† ู‡ู†ุง ู„ู‡ู†ุง ูƒู„ ุงู„ู€ elements x ุฃู‚ู„ ู…ู† ุณุงู„ุจ
1240
+
1241
+ 368
1242
+ 00:31:02,550 --> 00:31:07,130
1243
+ ูˆุงุญุฏ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุงุซู†ูŠู†ุŒ ูŠุนู†ูŠ ุฃู†ุช ุจุฏูƒ ุนู„ู‰ ุงู„ุฃู‚ู„ ุนู†ุตุฑ
1244
+
1245
+ 369
1246
+ 00:31:07,130 --> 00:31:12,950
1247
+ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุจุณุŒ ู there exist between
1248
+
1249
+ 370
1250
+ 00:31:15,130 --> 00:31:21,270
1251
+ ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุณุงู„ุจ ูˆุงุญุฏ ูˆุฃู‚ู„ ู…ู† ุจุณ ู‡ุงูŠ ูƒู„
1252
+
1253
+ 371
1254
+ 00:31:21,270 --> 00:31:31,970
1255
+ ุงู„ู…ูˆุถูˆุน ูˆ ู„ูŠุด negation of or and ุชู…ุงู…ุŒ ุฎู„ุตู†ุง ู‡ุงูŠ ูƒู„
1256
+
1257
+ 372
1258
+ 00:31:31,970 --> 00:31:36,050
1259
+ ุงู„ู…ูˆุถูˆุน ุชู…ุงู…ุŒ ุงู„ู„ูŠ ูˆุฑุงู‡ุง ุงู„ููƒุฑุฉ ู‡ูŠ ู‡ูŠ ุจุชุงุนุช ุงู„ู„ูŠ
1260
+
1261
+ 373
1262
+ 00:31:36,050 --> 00:31:41,230
1263
+ ุฎู„ุตุช ุจุณ ู‡ู†ุง ูŠู…ูƒู† ู…ุดู…ูˆู„ูŠุชู‡ุง ู…ุง ุจูŠู† ุนู†ุตุฑูŠู†
1264
+
1265
+ 374
1266
+ 00:31:44,540 --> 00:31:52,840
1267
+ ู…ู† ุณุงู„ุจ ู…ู† ุฃู‚ู„ ู…ู† ุฃุฑุจุนุฉ ุฃู‚ู„
1268
+
1269
+ 375
1270
+ 00:31:52,840 --> 00:31:57,660
1271
+ ู…ู† ุฃุฑุจุนุฉุŒ ู‡ูŠ ุฃุฑุจุนุฉ ูˆุฃูƒุจุฑ ู…ู† ุณุจุนุฉ ูˆุฑุง ู†ูุณู‡ุง ุจุณ ู‡ู†ุง
1272
+
1273
+ 376
1274
+ 00:31:57,660 --> 00:32:05,480
1275
+ there exist ู‡ู†ุง there existุŒ ุฎุฏ ุจุงู„ูƒ ูŠุนู†ูŠ ูŠูˆุฌุฏ ุนู†ุตุฑ
1276
+
1277
+ 377
1278
+ 00:32:05,480 --> 00:32:10,460
1279
+ ุฃุตุบุฑ ู…ู† ุฃุฑุจุนุฉ ุฃูˆ ุฃูƒุจุฑ ู…ู† ุณุจุนุฉุŒ ู…ุนู†ุงุชู‡ ู‡ู†ุง ุฅูŠุด ุจุฏูŠ
1280
+
1281
+ 378
1282
+ 00:32:10,460 --> 00:32:17,910
1283
+ ุฃู‚ูˆู„ุŸ ูƒู„ู‡ู… ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู…ูู‚ูˆุฏุฉ ู‡ู†ุง ุจุญูŠุซ ุฃู†ู‡ ุฃุทู…ุฆู† ุฃู†ู‡
1284
+
1285
+ 379
1286
+ 00:32:17,910 --> 00:32:22,590
1287
+ ู„ุง ูŠูˆุฌุฏ ูˆู„ุง ูˆุงุญุฏ ู‚ุจู„ ูˆู„ุง ูˆุงุญุฏ ุจุนุฏ ุจุณ I call
1288
+
1289
+ 380
1290
+ 00:32:22,590 --> 00:32:28,610
1291
+ ูุจู†ู‚ูˆู„ู‡ุง for allุŒ ุจุณูŠุทุฉ ุงู„ุฃุณุฆู„ุฉ ู…ุด ู‡ูŠูƒุŒ ู„ุงุญุธ ู„ูˆ ู…ุง
1292
+
1293
+ 381
1294
+ 00:32:28,610 --> 00:32:31,390
1295
+ ุดุฑุญู†ุงู‡ุงุด ุนู„ู‰ ุงู„ู€ link ุฃู†ุชูˆ ุนุงุฑููŠู† ูƒุงู†ุช ู‡ุชุชูˆู‡ูƒูˆุง ุจุฑุถู‡
1296
+
1297
+ 382
1298
+ 00:32:31,390 --> 00:32:35,930
1299
+ ู„ูˆ ููŠู‡ ู‡ูŠูƒ ูุฌุฃุฉ ููŠ ุงู…ุชุญุงู†ุŒ ูู‡ูŠ ุฃููƒุงุฑ ุจุณูŠุทุฉ ูˆุณู‡ู„ุฉ ุจุณ
1300
+
1301
+ 383
1302
+ 00:32:35,930 --> 00:32:37,450
1303
+ ุจุฏุฃ ุดูˆูŠุฉ ุงู„ุชุฑูƒูŠุฒ ุฃุณุฆู„ุฉ ุงู…ุชุญุงู†ุงุช
1304
+
1305
+ 384
1306
+ 00:32:42,870 --> 00:32:47,210
1307
+ ุงู„ุขู† what are the truth value of these statements
1308
+
1309
+ 385
1310
+ 00:32:47,210 --> 00:32:53,630
1311
+ ู„ู…ุง ู†ู‚ูˆู„ ููŠ ุนู†ุฏูŠ there exist exactly one x P of X
1312
+
1313
+ 386
1314
+ 00:32:53,630 --> 00:33:02,650
1315
+ implies there exist x P of X true ูˆู„ุง falseุŒ ูƒู„
1316
+
1317
+ 387
1318
+ 00:33:02,650 --> 00:33:09,470
1319
+ ุงู„ู…ุทู„ูˆุจ ุฃู† ุฅุญู†ุง ู‡ู†ุง ู†ุญุท T ูˆู„ุง F ุจุณ ู‡ู„
1320
+
1321
+ 388
1322
+ 00:33:09,470 --> 00:33:14,660
1323
+ ู„ุงุญุธ ูƒู…ุงู† ู…ุฑุฉ ู†ู‚ุฑุฃู‡ุง ุจู‡ุฏูˆุก ุจุณู‡ู„ุŒ ู„ู…ุง ุฃู‚ูˆู„ ูŠูˆุฌุฏ
1324
+
1325
+ 389
1326
+ 00:33:14,660 --> 00:33:24,340
1327
+ exactly one P of X is true ุจุชุถู…ู† ู„ูŠ ุฃู† ูŠูˆุฌุฏ X P of X
1328
+
1329
+ 390
1330
+ 00:33:24,340 --> 00:33:35,100
1331
+ is trueุŒ ู‡ู†ุง ูˆุงุญุฏ ูˆู‡ู†ุง there exist ุชู…ุงู…ุŒ ูุฅุฐุง ู…ุฌุฑุฏ
1332
+
1333
+ 391
1334
+ 00:33:35,100 --> 00:33:39,700
1335
+ ุฃู† ูŠูˆุฌุฏ exactly one ูู‡ูŠ there exist ูู‡ูŠ ู‡ุชูƒูˆู†
1336
+
1337
+ 392
1338
+ 00:33:39,700 --> 00:33:41,720
1339
+ there exist ุงู„ุซุงู†ูŠุฉ
1340
+
1341
+ 393
1342
+ 00:33:46,740 --> 00:33:53,840
1343
+ for all xุŒ P of x ุจูŠุถู…ู† ู„ูŠู‡ุŸ ุฃู†ู‡ there exist
1344
+
1345
+ 394
1346
+ 00:33:53,840 --> 00:34:00,100
1347
+ exactly one ูŠุนู†ูŠ ุฃู‚ูˆู„ ุงู„ูƒู„ f of x ู…ุนู†ุงุชู‡ ุฃู† there
1348
+
1349
+ 395
1350
+ 00:34:00,100 --> 00:34:04,340
1351
+ exist exactly one is x true ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุฃูุถู„ ูˆุงุญุฏุŒ
1352
+
1353
+ 396
1354
+ 00:34:04,340 --> 00:34:08,400
1355
+ ุฅุฐุง ูƒู„ ู…ูˆุฌูˆุฏ ูŠุนู†ูŠ trueุŒ ูˆุงุญุฏ true ูˆุงุญุฏ true ูˆุงุญุฏ
1356
+
1357
+ 397
1358
+ 00:34:08,400 --> 00:34:14,130
1359
+ true ูˆุงุญุฏ true ูˆุงุญุฏุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฃูƒุซุฑ ู…ู† ูˆุงุญุฏ ู…ู…ูƒู†
1360
+
1361
+ 398
1362
+ 00:34:
1363
+
1364
+ 445
1365
+ 00:38:20,010 --> 00:38:26,230
1366
+ ู…ู†ุทู‚ูŠุฉ ูˆุงุญุฏ ูู‚ุท ู„ุง ูŠุญู‚ู‚ ู…ุนู†ุงุชู‡ ุฃู†ู‡ ู„ูŠุณ ุงู„ูƒู„ ูŠุญู‚ู‚
1367
+
1368
+ 446
1369
+ 00:38:26,230 --> 00:38:33,130
1370
+ ุฎู„ุงุต ูุฅุฐุง true ู…ู†ุทู‚ูŠุฉุŒ ูˆุฃู†ุชู… ุจุชุญู„ูˆุง ู‡ูŠูƒ ููŠ ุงู„ู€ ...
1371
+
1372
+ 447
1373
+ 00:38:33,130 --> 00:38:35,770
1374
+ ููŠ ุงู„ุฑูˆุชุงุฆู† ุจุชูƒูˆู† ุงู„ุฃู…ูˆุฑ ุฃุณู‡ู„ุŒ ู„ูˆ ููŠ ุงู„ุงู…ุชุญุงู† ูƒุงู†
1375
+
1376
+ 448
1377
+ 00:38:35,770 --> 00:38:44,270
1378
+ ุดุฏู‘... ุทูŠุจ okayุŒ ุฃุนุชู‚ุฏ ู‡ู†ู†ู‡ูŠ ูŠู…ูƒู† ููŠ ู‡ุฐู‡... ู†ุดูˆูุŒ
1379
+
1380
+ 449
1381
+ 00:38:44,270 --> 00:38:46,730
1382
+ ุงู„ุขู† ุจุฏู†ุง ู†ุนู…ู„ ุฒูŠ ุขุฎุฑ ุญุงุฌุฉ ุดุฑุญู†ุงู‡ุง ููŠ ุงู„ู…ุตุงุฏุฑ...
1383
+
1384
+ 450
1385
+ 00:38:46,730 --> 00:38:49,190
1386
+ ููŠ ุงู„ู€... ููŠ ุงู„ู…ุญุงุถุฑุฉ ุจุชุงุนุช ุงู„ูŠูˆู…ุŒ ุงู„ู„ูŠ ู‡ูŠ
1387
+
1388
+ 451
1389
+ 00:38:49,190 --> 00:38:54,870
1390
+ definitionุŒ ูˆุจุฏู†ุง ู†ุชุฑุฌู…ู‡ ู„ู€ mathematical expression
1391
+
1392
+ 452
1393
+ 00:38:55,670 --> 00:38:58,810
1394
+ ุจู†ุนู…ู„ translation ู„ู„ู€ statement: the sum of two
1395
+
1396
+ 453
1397
+ 00:38:58,810 --> 00:39:04,810
1398
+ positive integers is always positive. ู†ูุณ ุงู„ููƒุฑุฉ
1399
+
1400
+ 454
1401
+ 00:39:04,810 --> 00:39:08,650
1402
+ ูู‡ู†ุง ุจุฑุถู‡ ู‡ู†ุณุชุฎุฏู… for allุŒ ูˆุจู†ูุชุญ ุงู„ุฃู‚ูˆุงุณ ุจุชุงุนุชู†ุง
1403
+
1404
+ 455
1405
+ 00:39:08,650 --> 00:39:16,400
1406
+ ุฅุฐุง ูƒุงู† ุงู„ู€ x ูˆ y positiveุŒ ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ูุจู†ู‚ูˆู„ ุฅุฐุง
1407
+
1408
+ 456
1409
+ 00:39:16,400 --> 00:39:22,120
1410
+ ูƒุงู†ุช x ุฃูƒุจุฑ ู…ู† ุตูุฑ and y ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ูˆุจู†ุนู…ู„ then
1411
+
1412
+ 457
1413
+ 00:39:22,120 --> 00:39:33,380
1414
+ z ุชุณุงูˆูŠ x + yุŒ ูˆ z ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ุฃูˆ ุนู„ู‰ ุทูˆู„ ู…ู†
1415
+
1416
+ 458
1417
+ 00:39:33,380 --> 00:39:37,790
1418
+ ุงู„ุฃูˆู„ ุญุชู‰ z = x + y ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ูˆุฎู„ุงุต ู…ุจุงุดุฑุฉ ู…ุง ููŠุด
1419
+
1420
+ 459
1421
+ 00:39:37,790 --> 00:39:41,770
1422
+ ุฏุงุนูŠ ู†ุญุท ูƒู…ุงู† ู…ุชุบูŠุฑ ุซุงู„ุซ. ูู…ุจุงุดุฑุฉ ุฅุฐุง ุนุฑูู†ุง x ุฃูƒุจุฑ
1423
+
1424
+ 460
1425
+ 00:39:41,770 --> 00:39:47,070
1426
+ ู…ู† ุตูุฑ and y ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ุฅุฐุง x + y greater than
1427
+
1428
+ 461
1429
+ 00:39:47,070 --> 00:39:53,430
1430
+ 0ุŒ ูˆุฎู„ุงุต. ูุฅุฐุง ุนู„ู‰ ุทูˆู„ ู…ุจุงุดุฑุฉ for all x, yุŒ ุฅุฐุง ูƒุงู†ุช x
1431
+
1432
+ 462
1433
+ 00:39:53,430 --> 00:39:57,910
1434
+ ุฃูƒุจุฑ ู…ู† ุตูุฑ ูˆ y ุฃูƒุจุฑ ู…ู† ุตูุฑุŒ ุฅุฐุง ู…ุฌู…ูˆุนู‡ู… ุฃูƒุจุฑ ู…ู†
1435
+
1436
+ 463
1437
+ 00:39:57,910 --> 00:40:04,870
1438
+ ุตูุฑ. ุจุณูŠุทุฉุŒ ุณู‡ู„ุฉุŒ ูˆุณู„ุณุฉุŒ ู…ุง ููŠุด ูƒุชูŠุฑ ููŠู‡ุง ู…ุดุงูƒู„ุŒ ุชู…ุงู…. ูุงู„ุขู†
1439
+
1440
+ 464
1441
+ 00:40:04,870 --> 00:40:09,450
1442
+ ูƒู†ุง ุฎู„ุตู†ุง ู„ู‡ุฐุง ุงู„ุฃุณุจูˆุน ุงู„ุฌุฒุก ุงู„ู…ุทู„ูˆุจ ู…ู†ู‡ุง ุงู„ู…ุฑุฉ
1443
+
1444
+ 465
1445
+ 00:40:09,450 --> 00:40:12,490
1446
+ ุงู„ู‚ุงุฏู…ุฉุŒ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุจู†ุจุฏุฃ ููŠ ุงู„ู€ proving strategies
1447
+
1448
+ 466
1449
+ 00:40:12,490 --> 00:40:15,810
1450
+ ูˆุจุฑุถู‡ ู†ูุณ ุงู„ููƒุฑุฉ ุงู„ูƒูˆูŠุณุฉุŒ ุฃู† ููŠ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู…ุตูˆุฑุฉ
1451
+
1452
+ 467
1453
+ 00:40:15,810 --> 00:40:20,270
1454
+ ุฌุงู‡ุฒุฉ ุนู†ุฏูƒู…ุŒ ูุจุชุฑุฌุนูˆุง ู„ู‡ุง ุจุญูŠุซ ุฃู†ู‡ ุฏุงุฆู…ุงู‹ ู†ุญุงูˆู„ ููŠ ุขุฎุฑ
1455
+
1456
+ 468
1457
+ 00:40:20,270 --> 00:40:24,570
1458
+ ุงู„ุฃุณุจูˆุน ู†ูˆูุฑ ู‡ูŠูƒ ู†ุต ุณุงุนุฉ ุฒู…ู†ุŒ ู†ุฌูŠุจ ู„ูƒู… ููŠู‡ุง ุฃุณุฆู„ุฉุŒ
1459
+
1460
+ 469
1461
+ 00:40:24,570 --> 00:40:27,070
1462
+ ุจุชุฎูŠู‘ู„ูŠ ุจูŠูƒูˆู† ุฃูุถู„ ู…ู† ุฅู†ู‡ ู†ุถู„ ู…ุฑุจูˆุทูŠู† ู…ู†ุบู„ู‚ูŠู† ููŠ
1463
+
1464
+ 470
1465
+ 00:40:27,070 --> 00:40:32,150
1466
+ ุงู„ู€... ููŠ ุงู„ู…ุญุงุถุฑุฉ ูƒู€... ูƒู€ theoretical conceptsุŒ
1467
+
1468
+ 471
1469
+ 00:40:32,150 --> 00:40:34,070
1470
+ ูƒุชูŠุฑ ูƒูˆูŠุณ ุฅู† ุฅุญู†ุง ู†ุฑูˆุญ ู„ู„ุจุฑู†ุงู…ุฌุŒ ูƒู„ู‘ูŠ ุฃุนุทุงูƒู…
1471
+
1472
+ 472
1473
+ 00:40:34,070 --> 00:40:34,350
1474
+ ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/wEwPxELdkGI.srt ADDED
@@ -0,0 +1,1652 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,330 --> 00:00:07,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
4
+
5
+ 2
6
+ 00:00:07,870 --> 00:00:10,530
7
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ูŠุง ุณูŠุฏู†ุง ู…ุญู…ุฏุŒ ู†ูƒู…ู„ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:10,530 --> 00:00:13,850
11
+ ุชุนุงู„ู‰ ููŠ ุฌุฒุฆูŠุฉ ุงู„ุนู„ุงู‚ุงุช (relations) ุงู„ุชูŠ ุจุฏุฃู†ุง ููŠู‡ุง ุงู„ู…ุฑุฉ
12
+
13
+ 4
14
+ 00:00:13,850 --> 00:00:17,710
15
+ ุงู„ุณุงุจู‚ุฉุŒ ูˆู‚ู„ู†ุง ุฃู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู…ุฉ relation ู‡ูŠ
16
+
17
+ 5
18
+ 00:00:17,710 --> 00:00:21,370
19
+ ุญุงุฌุฉ ุนุงู…ุฉุŒ ุฃุดู…ูŽู„ ุญุชู‰ ู…ู† functionุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ูƒู„
20
+
21
+ 6
22
+ 00:00:21,370 --> 00:00:24,010
23
+ ุญูŠุงุชู†ุง ู‡ูŠ relationsุŒ ุญูŠุงุชู†ุง ูƒู„ู‡ุง ู‚ุงุฆู…ุฉ ุนู„ู‰ ุงู„ู€
24
+
25
+ 7
26
+ 00:00:24,010 --> 00:00:27,390
27
+ relationsุŒ ูˆูŠู…ูƒู† ู…ุง ู‚ุจู„ ุงู„ู…ุญุงุถุฑุฉ ูƒู†ุง ู†ุชูƒู„ู… ุฃู† ููŠ
28
+
29
+ 8
30
+ 00:00:27,390 --> 00:00:30,290
31
+ ู…ุฌู…ูˆุนุฉ relationsุŒ ุฃุญูŠุงู†ุงู‹ ุจุนุถู‡ุง ูŠุถุบุท ุนู„ู‰ ุจุนุถู‡ุงุŒ ูููŠ
32
+
33
+ 9
34
+ 00:00:30,290 --> 00:00:34,760
35
+ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู…ุฉ relation ุฃุนู„ู‰ ุญุชู‰ ู…ู† ูƒู„ู…ุฉ functionุŒ
36
+
37
+ 10
38
+ 00:00:34,760 --> 00:00:38,500
39
+ ูˆุนุดุงู† ู‡ูŠูƒ ู„ุงุฒู… ู†ุฏุฑุณู‡ุง. ู…ุจุฏุฆูŠุงู‹ุŒ ุชูƒู„ู…ู†ุง ุนู† ุงู„ู€ binary
40
+
41
+ 11
42
+ 00:00:38,500 --> 00:00:42,480
43
+ relationุŒ ุงู„ู„ูŠ ู‡ูˆ ู‡ู„ ุงู„ุนู†ุตุฑ ู‡ุฐุง ูŠู†ุชู…ูŠ ู„ู„ู€ relation
44
+
45
+ 12
46
+ 00:00:42,480 --> 00:00:44,860
47
+ ุฃู… ู„ุง ูŠู†ุชู…ูŠ ู„ู„ู€ relation... ู„ุงุŒ ุงู„ู€ relationุŒ ูˆุฃุฎุฐู†ุง
48
+
49
+ 13
50
+ 00:00:44,860 --> 00:00:49,260
51
+ ู…ุซุงู„ุงู‹ุŒ ูŠู…ูƒู† ุฃุฎุฐู†ุง ุงู„ุฃุตุบุฑ ู…ู†ู‡ ูƒู€ relationุŒ ูˆู‚ู„ู†ุง ููŠ ุงู„ู€
52
+
53
+ 14
54
+ 00:00:49,260 --> 00:00:51,880
55
+ natural number ู…ู…ูƒู† ู†ุนุฑูู‡ ุจุทุฑูŠู‚ุฉ ุฃูˆ ุจุฃุฎุฑู‰ุŒ ู…ุงุฏุงู…
56
+
57
+ 15
58
+ 00:00:51,880 --> 00:00:55,300
59
+ natural numberุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ู…ู…ูƒู† ุฃุนุฑูู‡ุงุŒ ู…ุด ู…ู† set to
60
+
61
+ 16
62
+ 00:00:55,300 --> 00:00:58,640
63
+ other setุŒ ู…ู…ูƒู† ุนู„ู‰ ู†ูุณ ุงู„ู€ set ู‡ูŠ... ู‡ูŠ ุฅุฐุง ุจุชุนู…ู„
64
+
65
+ 17
66
+ 00:00:59,360 --> 00:01:04,100
67
+ ุฏุงุฎู„ ู†ูุณ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุชุŒ ูู‡ู†ุง ุฏุฎู„ู†ุง ููŠ ุญุงุฌุฉ ุซุงู†ูŠุฉ
68
+
69
+ 18
70
+ 00:01:04,100 --> 00:01:06,560
71
+ ู…ู…ูƒู† ุชุฃุฎุฐู‡ุง ู„ุงุญู‚ุงู‹ุŒ ุญุงุฌุฉ ุงุณู…ู‡ุง ู‚ูˆุงุนุฏ ุจูŠุงู†ุงุช. ูุฅุฐุง ุงู„ู€
72
+
73
+ 19
74
+ 00:01:06,560 --> 00:01:08,800
75
+ relations ุจูŠู† ุนู†ุงุตุฑ ู‚ูˆุงุนุฏ ุงู„ุจูŠุงู†ุงุช ุจุชูƒูˆู†
76
+
77
+ 20
78
+ 00:01:08,800 --> 00:01:12,880
79
+ ู„ู†ูุณ ุงู„ู€ set. ูุฅุฐุง ุงู„ู€ natural numberุŒ ุฎู„ุงุต ู…ุนู†ุงุชู‡ ู‡ูŠ
80
+
81
+ 21
82
+ 00:01:12,880 --> 00:01:17,000
83
+ set A ู…ู†ู‡ุง ู„ู†ูุณู‡ุงุŒ ู‡ูŠ ุงู„ู€ domain ูˆู‡ูŠ ุงู„ู€ codomain ููŠ
84
+
85
+ 22
86
+ 00:01:17,000 --> 00:01:20,960
87
+ ู†ูุณ ุงู„ูˆู‚ุชุŒ ูุจูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ identity relation ููŠ
88
+
89
+ 23
90
+ 00:01:20,960 --> 00:01:24,860
91
+ ุงู„ุญุงู„ุฉ ุฏูŠุŒ ุฅุฐุง ูˆุฌุฏุช ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆู†ูุณู‡ุŒ ู†ุณู…ูŠู‡ุง
92
+
93
+ 24
94
+ 00:01:24,860 --> 00:01:27,480
95
+ identity. ูุฅุญู†ุง ู‡ู†ุง ู‚ุงุนุฏูŠู† ุจู†ุฑุงุฌุน ุขุฎุฑ ุญุงุฌุฉ ุฃุฎุฐู†ุงู‡ุง
96
+
97
+ 25
98
+ 00:01:27,480 --> 00:01:32,020
99
+ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ. ุดูู†ุง ูƒูŠู ู†ู…ุซู„ู‡ุงุŒ ู…ุซู„ู†ุงู‡ุง ุจุดูƒู„ ุฌุฏูˆู„ุŒ
100
+
101
+ 26
102
+ 00:01:32,020 --> 00:01:37,300
103
+ ูˆู…ุซู„ู†ุงู‡ุง ุจุดูƒู„ ุงู„ู€ bipartateุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ู‡ูŠ ุชู…ุซู„
104
+
105
+ 27
106
+ 00:01:37,300 --> 00:01:42,140
107
+ ู…ุซู„ ุงู„ู€ functionุŒ ู…ุซู„ ุฌุฐุฑ ุงู„ู€ functionุŒ ูู…ุซู„ู†ุงู‡ุง ุจู‡ุฐุง
108
+
109
+ 28
110
+ 00:01:42,140 --> 00:01:45,660
111
+ ุงู„ุดูƒู„ุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนู†ุงุตุฑ ุงู„ุฃุตุบุฑ ู…ู†... ูุชู„ุงู‚ูŠ ุฏุงุฆู…ุงู‹ ุฃู†
112
+
113
+ 29
114
+ 00:01:45,660 --> 00:01:49,800
115
+ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ู‡ูˆ ุฃุตุบุฑ ู…ู† ุงู„ุนู†ุตุฑ ุงู„ุซุงู†ูŠ. ุนู†ุตุฑ ุฃูˆู„
116
+
117
+ 30
118
+ 00:01:49,800 --> 00:01:53,080
119
+ ุฃุตุบุฑ ู…ู† ุงู„ุซุงู†ูŠ. ุนู†ุงุตุฑู‡ุง ุถู…ู† ุงู„ู€ function ุตุญูŠุญุฉุŒ ุถู…ู†
120
+
121
+ 31
122
+ 00:01:53,080 --> 00:01:57,680
123
+ ุงู„ู€ function ุตุญูŠุญุฉ. ุขุฎุฑ ุดุบู„ุฉ ูƒู†ุง ุญูƒูŠู†ุง ููŠู‡ุง ุจุงู„ู†ุณุจุฉ
124
+
125
+ 32
126
+ 00:01:57,680 --> 00:02:03,170
127
+ ู„ู„ู€ set AุŒ ูƒู… relation ู…ู…ูƒู† ุฃุนู…ู„ ู…ู†ู‡ุงุŸ ูƒู… relation
128
+
129
+ 33
130
+ 00:02:03,170 --> 00:02:05,910
131
+ ู…ู…ูƒู† ู†ุนู…ู„ ู…ู†ู‡ุงุŸ ุทูŠุจุŒ ุนุดุงู† ู†ุนู…ู„ ูƒู… relation ุจุฏู†ุง
132
+
133
+ 34
134
+ 00:02:05,910 --> 00:02:09,470
135
+ ู†ุนู…ู„ ู…ู†ู‡ุงุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ุง ุจูŠู† ุนู†ุตุฑ ู…ู† ุนู†ุตุฑ ู„ุนู†ุตุฑุŒ
136
+
137
+ 35
138
+ 00:02:09,470 --> 00:02:12,570
139
+ ู…ู† ุนู†ุตุฑ ู„ุนู†ุตุฑ. ู‡ุฐู‡ ูƒุงู†ุช ุชูุนุจู‘ุฑ ุนู†ู‡ุง ุจุงู„ู€ Cartesian
140
+
141
+ 36
142
+ 00:02:12,570 --> 00:02:19,530
143
+ product ู…ู† A to AุŒ ูˆุนุฑูู†ุง ุฃู† ุงู„ู€ cardinality ู…ู† A to
144
+
145
+ 37
146
+ 00:02:19,530 --> 00:02:26,220
147
+ A ู‡ูŠ ุนุจุงุฑุฉ ุนู†... ุจุชุณุงูˆูŠ ุงู„ู€ cardinality ู„ู€ A ููŠ ุงู„ู€
148
+
149
+ 38
150
+ 00:02:26,220 --> 00:02:29,940
151
+ cardinality ู„ุฅูŠู‡ุŸ ูŠุนู†ูŠ ู‡ุชุณุงูˆูŠ ุฅูŠู‡ุŸ ุชุฑุจูŠุน. ุฃูˆ ุฅุฐุง
152
+
153
+ 39
154
+ 00:02:29,940 --> 00:02:34,880
155
+ ูƒุงู† ุนุฏุฏู‡ู…... ุฃุฌุฏุนุŒ ู‡ู… ู…ุง ุจุนุทูŠู†ูŠ ุนุฏุฏู‡ู… ู‡ู†ุง NุŒ ูุฅุฐุง ู‡ูŠ
156
+
157
+ 40
158
+ 00:02:34,880 --> 00:02:43,540
159
+ N ุชุฑุจูŠุน... N ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุตุงุฑ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑ
160
+
161
+ 41
162
+ 00:02:44,460 --> 00:02:48,640
163
+ ุฃุฒูˆุงุฌ ู…ุฑุชุจุฉุŒ ุนุฏุฏู‡ู… ู…ู† ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉ ู„ุนู†ุฏ N
164
+
165
+ 42
166
+ 00:02:48,640 --> 00:02:54,700
167
+ ุชุฑุจูŠุนุŒ ู„ุนู†ุฏ N ุชุฑุจูŠุน. ูƒูˆูŠุณ. ุดูƒู„ ุงู„ู€ relationุŒ ุดูƒู„ ุงู„ู€
168
+
169
+ 43
170
+ 00:02:54,700 --> 00:02:59,400
171
+ relation ู‡ูŠ ุงู„ู€ combination ุจูŠู† ุงู„ุนู†ุงุตุฑ ู‡ุฐู‡. ูุฅุฐุง
172
+
173
+ 44
174
+ 00:02:59,400 --> 00:03:04,340
175
+ ู…ู…ูƒู† ุฃู‚ูˆู„ ุฃู† ุงู‡ ูˆุงู„ู„ู‡ ููŠ relationุŒ ุจุณ ู‡ูŠ ููŠ ูˆู„ุง
176
+
177
+ 45
178
+ 00:03:04,340 --> 00:03:07,720
179
+ ูˆุงุญุฏ ูŠู†ุทุจู‚ุŒ ุชู†ุทุจู‚ ุนู„ูŠู‡ ุงู„ู€ relation. ู‡ูŠ relation. ุทูŠุจุŒ
180
+
181
+ 46
182
+ 00:03:07,720 --> 00:03:14,490
183
+ ุฃูˆ ุฃู† ููŠ relation ุชู…ุซู„ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ูู‚ุทุŒ ููŠ
184
+
185
+ 47
186
+ 00:03:14,490 --> 00:03:19,190
187
+ relation ุชู…ุซู„ ุนู†ุตุฑ ุงู„ุซุงู†ูŠ ูู‚ุท. ุทุจุŒ ุงู„ุฃูˆู„ ูˆุงู„ุซุงู†ูŠุŒ and
188
+
189
+ 48
190
+ 00:03:19,190 --> 00:03:21,870
191
+ so on. ุทุจ ู†ูŠุฌูŠ ู†ุชุทู„ุน ุนู„ู‰ ุงู„ููƒุฑุฉุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ู‚ุงุนุฏ
192
+
193
+ 49
194
+ 00:03:21,870 --> 00:03:27,050
195
+ ุจุดุชุบู„ ูƒุฅู†ูŠ ุจู‚ูˆู„: ุฌุฏุนุŒ ุนุฏุฏ ุชู…ุซูŠู„ ุงู„ุจูŠุงู†ุงุช ู…ู† string
196
+
197
+ 50
198
+ 00:03:27,050 --> 00:03:33,870
199
+ ุทูˆู„ู‡ ุงู†ุชุฑ ุจูŠู‡ุŒ ุฌุฏุนุŒ ุชู…ุซูŠู„ู‡ุŸ ูู‡ุฐู‡ ุงุซู†ูŠู†: ูŠุง ู…ูˆุฌูˆุฏ ูŠุง ู…ุด
200
+
201
+ 51
202
+ 00:03:33,870 --> 00:03:37,680
203
+ ู…ูˆุฌูˆุฏ. ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ููŠ ุงู„ู€ relationุŒ ุงู„ุนู†ุตุฑ ุงู„ุซุงู†ูŠุŒ ูŠุง
204
+
205
+ 52
206
+ 00:03:37,680 --> 00:03:40,780
207
+ ู…ูˆุฌูˆุฏ ูŠุง ู…ุด ู…ูˆุฌูˆุฏุŒ ูŠุนู†ูŠ ุจุฑุถู‡ ุงุซู†ูŠู† ููŠ ุงุซู†ูŠู† ุฒูŠ ู…ุง
208
+
209
+ 53
210
+ 00:03:40,780 --> 00:03:43,900
211
+ ุฃุฎุฐู†ุงู‡ ููŠ ุงู„ู€ combination. ุงู„ุซุงู„ุซ: ูŠุง ู…ูˆุฌูˆุฏ ูŠุง ุบูŠุฑ
212
+
213
+ 54
214
+ 00:03:43,900 --> 00:03:47,180
215
+ ู…ูˆุฌูˆุฏ. ูุงู„ู€ possibilities ุชุจุนุชู‡ ุงุซู†ูŠู†ุŒ and so on. ูุฅุฐุง
216
+
217
+ 55
218
+ 00:03:47,180 --> 00:03:54,520
219
+ ุงู†ุถุฑุจูˆุง ููŠ ุจุนุถ ูƒู… ู…ุฑุฉ ุงู† ุชุฑุจูŠุนุŒ ูุฃุซุฑ ุงุซู†ูŠู† ู‡ุฐู‡
220
+
221
+ 56
222
+ 00:03:54,520 --> 00:03:58,260
223
+ in generalุŒ ุนุฏุฏ ุงู„ู€ relations ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุฃุฎุฐู‡ุง ู…ู†
224
+
225
+ 57
226
+ 00:03:58,260 --> 00:04:03,970
227
+ setุŒ ุงู„ู€ cardinality ุจุชุงุนุชู‡ุง NุŒ ุงู„ู„ูŠ ู‡ู… ุนุงุฏุฉ ุนู†ุงุตุฑู‡ุง
228
+
229
+ 58
230
+ 00:04:03,970 --> 00:04:06,970
231
+ ุนู†ุงุตุฑู‡ุง N. ู‡ุฐู‡ ูƒุงู†ุช ุขุฎุฑ ุดุบู„ุฉ ุชูƒู„ู…ู†ุง ููŠู‡ุง ุงู„ู…ุฑุฉ
232
+
233
+ 59
234
+ 00:04:06,970 --> 00:04:11,210
235
+ ุงู„ู…ุงุถูŠุฉ. ุงู„ุขู†ุŒ ู†ุจุฏุฃ ู†ุฃุฎุฐ ู…ุฌู…ูˆุนุฉ characteristic ุฃูˆ
236
+
237
+ 60
238
+ 00:04:11,210 --> 00:04:16,390
239
+ ู…ุฌู…ูˆุนุฉ ู…ูŠุฒุงุช ู„ู„ู€ relations.
240
+
241
+ 61
242
+ 00:04:16,390 --> 00:04:21,550
243
+ ุฃูˆู„ ุฎุงุตูŠุฉ ุจุฏู†ุง ู†ุชูƒู„ู… ุนู†ู‡ุง ู‡ูŠ ุงู„ู€ reflexivityุŒ ุงู„ู€
244
+
245
+ 62
246
+ 00:04:21,550 --> 00:04:27,140
247
+ reflexivity ุฃูˆ ุงู„ุงู†ุนูƒุงุณูŠุฉ. ุจู…ุนู†ู‰ุŒ ู‡ุฐู‡ ูƒุงู†ุช ุงู„ู€ relation RุŒ
248
+
249
+ 63
250
+ 00:04:27,140 --> 00:04:32,720
251
+ ุงู„ู€ relation R ู‡ุฐู‡ ู…ุทุจู‚ุฉ ุนู„ู‰ ุงู„ู€ set AุŒ ุจุณู…ูŠู‡ุง
252
+
253
+ 64
254
+ 00:04:32,720 --> 00:04:39,620
255
+ reflexive if for all AุŒ ู„ูƒู„ ุงู„ุนู†ุงุตุฑ A ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
256
+
257
+ 65
258
+ 00:04:39,620 --> 00:04:47,330
259
+ ุฏุงุฎู„ ุงู„ู€ set AุŒ ูŠูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆู†ูุณู‡. ูุงู†ุนูƒุงุณูŠุฉ
260
+
261
+ 66
262
+ 00:04:47,330 --> 00:04:52,230
263
+ ู‡ูŠ ุจูŠู†ู‡ ูˆุจู†ูุณู‡ุŒ ูŠูˆุฌุฏ ุงู„ุนู„ุงู‚ุฉุŒ ูŠูˆุฌุฏ ุถู…ู† ุงู„ู€ relation
264
+
265
+ 67
266
+ 00:04:52,230 --> 00:04:58,110
267
+ ู‡ุฐู‡. ู‡ุฐุง ู†ุณู…ูŠู‡ reflexive. ุทูŠุจุŒ ุงู„ู…ูƒู…ู„ ู„ู‡ุŒ ุงู„ู€
268
+
269
+ 68
270
+ 00:04:58,110 --> 00:05:03,090
271
+ irreflexiveุŒ ุงู„ู…ูƒู…ู„ ู„ู‡ ุงู„ู€ reflexiveุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡
272
+
273
+ 69
274
+ 00:05:03,090 --> 00:05:08,090
275
+ ู…ู…ูƒู† ุชุฌูŠ ุญุงู„ุงุช ู„ุง ู‡ูŠ reflexive ูˆู„ุง ู‡ูŠ irreflexiveุŒ ู„ุง
276
+
277
+ 70
278
+ 00:05:08,090 --> 00:05:13,780
279
+ ู‡ูŠ ุงู†ุนูƒุงุณูŠุฉ ูˆู„ุง ู‡ูŠ ู„ูŠุณุช ุฎุงู„ูŠุฉ ู…ู† ุงู„ุงู†ุนูƒุงุณูŠุฉุŒ ู‡ูŠ ู„ุง ู‡ูŠูƒ
280
+
281
+ 71
282
+ 00:05:13,780 --> 00:05:19,480
283
+ ูˆู„ุง ู‡ูŠูƒุŒ ุจุงู„ุถุจุท ููŠู‡ุง ู†ุต ู‡ูŠูƒ ูˆู†ุต ู‡ูŠูƒุŒ ุจู…ุนู†ู‰: ู…ุด ูƒู„ุŒ
284
+
285
+ 72
286
+ 00:05:19,480 --> 00:05:25,040
287
+ ู‡ู†ุง ุงู„ุชุนุฑูŠูุŒ ุนุดุงู† ุฃู‚ูˆู„ reflexiveุŒ allุŒ allุŒ ูุฅุฐุง
288
+
289
+ 73
290
+ 00:05:25,040 --> 00:05:29,080
291
+ ูƒุงู† ุจุนุถู‡ู… ุฃูˆ ุจุนุถู‡ู…ุŒ ู„ุฃุŒ ุญุชู‰ ุงู„ู€ irreflexive ุจู‚ุฏุฑุด
292
+
293
+ 74
294
+ 00:05:29,080 --> 00:05:33,480
295
+ ุฃู‚ูˆู„ ุนู„ูŠู‡ุง ุงู„ู€ reflexiveุŒ ู„ุฃู†ู‡ุง ู„ูŠุณุช ู…ูƒู…ู„ุฉ ู„ู„ู€
296
+
297
+ 75
298
+ 00:05:33,480 --> 00:05:37,960
299
+ irreflexiveุŒ ู…ุด ู…ูƒู…ู„ุฉ ู„ู„ู€ irreflexive. ุทูŠุจุŒ ูุฅุฐุง
300
+
301
+ 76
302
+ 00:05:37,960 --> 00:05:43,000
303
+ complementary ู„ู„ู€ relationุŒ ูุฅุฐุง ุงู„ู…ูƒู…ู„ุฉ ู„ู„ู€ R ุงู„ู„ูŠ
304
+
305
+ 77
306
+ 00:05:43,000 --> 00:05:45,360
307
+ ู‡ูŠ reflexiveุŒ ู‡ุฐู‡ ุงู„ู…ูƒู…ู„ุฉ ุจุชุงุนุชู‡ุง ู†ุณู…ูŠู‡ุง
308
+
309
+ 78
310
+ 00:05:45,360 --> 00:05:50,760
311
+ irreflexiveุŒ ูƒูˆูŠุณ. ู„ุงุญุธ ุฃู† ุงู„ู€ irreflexive ู‡ูŠ ู…ุด
312
+
313
+ 79
314
+ 00:05:50,760 --> 00:05:56,380
315
+ ู…ุนู†ุงู‡ุง ุฃู† ู‡ูŠ not reflexive. ุจุงู„ุถุจุทุŒ ู‡ูŠ ู…ุด ู…ุนู†ุงู‡ ุฃู† ู‡ูŠ
316
+
317
+ 80
318
+ 00:05:56,380 --> 00:06:00,580
319
+ irreflexiveุŒ ู…ุนู†ุงู‡ ุฃู† ู‡ูŠ not reflexive. ู„ุฃุŒ ู…ุงุญุฏุด ู‚ุงู„
320
+
321
+ 81
322
+ 00:06:00,580 --> 00:06:04,780
323
+ ู‡ูŠูƒ. ู‡ูŠ ูƒู„ ุงู„ููƒุฑุฉ ูˆูŠู†ุŸ ููŠ ุฌุฒุฆูŠุฉ ุงู„ู€ for all ู‡ุฐู‡ุŒ ููŠ
324
+
325
+ 82
326
+ 00:06:04,780 --> 00:06:10,440
327
+ ุฌุฒุฆูŠุฉ for all. for all ู…ุนู†ุงุชู‡: ูƒู„ ุนู†ุงุตุฑ ุงู„ู€ set ูŠูˆุฌุฏ
328
+
329
+ 83
330
+ 00:06:10,440 --> 00:06:14,520
331
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ูˆุจูŠู† ู†ูุณู‡ุง. okayุŒ reflexive. ุทูŠุจุŒ ูˆู„ุง
332
+
333
+ 84
334
+ 00:06:14,520 --> 00:06:19,780
335
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ู€ A's ูŠูˆุฌุฏ ุจูŠู†ู‡ุง ูˆุจูŠู† ู†ูุณู‡ุง ุนู„ุงู‚ุฉุŒ
336
+
337
+ 85
338
+ 00:06:19,780 --> 00:06:24,250
339
+ irreflexive. ุทุจ ุฅุฐุง ูƒุงู† ููŠ ู‡ูŠูƒ ูˆููŠ ู‡ูŠูƒุŸ ุจุนุถู‡ู… ู‡ูŠ...
340
+
341
+ 86
342
+ 00:06:24,250 --> 00:06:28,950
343
+ there existุŒ ูŠุนู†ูŠ ูุฅุฐู† ู‡ูŠ ู„ุง reflexive ูˆู„ุง
344
+
345
+ 87
346
+ 00:06:28,950 --> 00:06:31,290
347
+ irreflexive. ู„ุงุฒู… ูŠูƒูˆู† there existุŒ ู„ุฃู† ุฃู†ุช ุนู†ุฏูƒ...
348
+
349
+ 88
350
+ 00:06:31,290 --> 00:06:33,370
351
+ ุฃู†ุช ู‚ู„ุช ุนุฏุฏ ุงู„ู€ relations ููŠ ุงู„ู€ identity relation
352
+
353
+ 89
354
+ 00:06:33,370 --> 00:06:36,050
355
+ ู„ุงุฒู… ูŠูƒูˆู† across... ุณูŠุจูƒ ู…ู† ู‡ุฐู‡... ู‡ุฐู‡ ู…ูˆุถูˆุน
356
+
357
+ 90
358
+ 00:06:36,050 --> 00:06:38,210
359
+ ุซุงู†ูŠ... ู‡ุฏ... ู‡ุฏ ูƒู†ุง ู†ุชูƒู„ู… ุนู† ุฌุฏุนุŒ ุนุฏุฏ ุงู„ู€ relations
360
+
361
+ 91
362
+ 00:06:38,210 --> 00:06:40,590
363
+ ููŠ ุงู„ู€ set... ูุด zero relationุŒ ูŠุนู†ูŠ ููŠู‡ุง... ูุด zero
364
+
365
+ 92
366
+ 00:06:40,590 --> 00:06:44,270
367
+ ... ูุด zero... ุงู‡ุŒ ู„ุฃู† ุจุจุฑ... ุทูŠุจุŒ ู„ุงุญุธ ุฎู„ูŠูƒ ู…ุนุงูŠุงุŒ
368
+
369
+ 93
370
+ 00:06:44,270 --> 00:06:47,110
371
+ there existุŒ ุจู…ุนู†ู‰ ุฃู† ุฅุญู†ุง ู…ุชูƒู„ู…ูŠู† ุงู„ุขู† ุนู† ุนู†ุงุตุฑ ุงู„ู€
372
+
373
+ 94
374
+ 00:06:47,110 --> 00:06:51,310
375
+ N ู†ูุณู‡ู…ุŒ ู‡ุฏูˆู„ ุงู„ู€ N ู‡ุฏูˆู„ุŒ ู‡ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ
376
+
377
+ 95
378
+ 00:06:51,310 --> 00:06:57,900
379
+ ุซู„ุงุซุฉุŒ ุฎู…ุณุฉุŒ ุณุจุนุฉุŒ ู„ุนู†ุฏ NุŒ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ุฃุฑุจุนุฉุŒ ู„ุนู†ุฏ NุŒ
380
+
381
+ 96
382
+ 00:06:57,900 --> 00:07:02,020
383
+ ุนุฏุฏู‡ู…ุŒ ุงู„ู€ cardinality ู‡ุฐู‡ุŒ ู„ู…ุง ุฃู‚ูˆู„ ุฃู†ู‘ู‡ reflexiveุŒ
384
+
385
+ 97
386
+ 00:07:02,020 --> 00:07:06,340
387
+ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุฃู†ู‘ู‡ ููŠ ุงู„ู€ relation ูุนู„ูŠุงู‹ ูŠูˆุฌุฏ ูˆุงุญุฏ ูˆ
388
+
389
+ 98
390
+ 00:07:06,340 --> 00:07:12,860
391
+ ูˆุงุญุฏ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆู†ูุณู‡ุŒ ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู†ุŒ ุงู„ุนู†ุตุฑ ูˆ
392
+
393
+ 99
394
+ 00:07:12,860 --> 00:07:22,990
395
+ ู†ูุณู‡ุŒ ูˆุซู„ุงุซุฉ ูˆุซู„ุงุซุฉุŒ ูˆุฃุฑุจุนุฉ ูˆุฃุฑุจุนุฉุŒ ู„ุนู†ุฏ N ูˆN. ุทูŠุจุŒ
396
+
397
+ 100
398
+ 00:07:22,990 --> 00:07:28,430
399
+ ู„ูˆ ูˆุงุญุฏ ู…ู†ู‡ู… ุบูŠุฑ ู…ูˆุฌูˆุฏุŒ ุจุทู„ุช
400
+
401
+ 101
402
+ 00:07:28,430 --> 00:07:34,570
403
+ reflexive. ู„ูŠุดุŸ ู„ุฃู†ู‡ุง ู„ูŠุณุช for allุŒ ู‡ูŠ there existุŒ ุงู‡ุŒ
404
+
405
+ 102
406
+ 00:07:34,570 --> 00:07:39,650
407
+ there existุŒ ุจุณ ู…ุด reflexive. ูุฅุฐุง ุงู„ููƒุฑุฉ ููŠ for allุŒ
408
+
409
+ 103
410
+ 00:07:39,650 --> 00:07:44,330
411
+ for allุŒ ู„ุฃู† ุงุซู†ูŠู† ูˆุงุซู†ูŠู†ุŒ ู„ุฃุŒ ุงู„ุนู†ุตุฑ ู‡ู†ุง ู„ุง ูŠูˆุฌุฏ
412
+
413
+ 104
414
+ 00:07:44,330 --> 00:07:47,850
415
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ ูˆุจูŠู† ู†ูุณู‡ุŒ ู‡ูˆ ู…ุด ู…ูˆุฌูˆุฏ ุถู…ู† ุงู„ู€ relationsุŒ
416
+
417
+ 105
418
+ 00:07:48,750 --> 00:07:51,230
419
+ ุถู…ู† ุงู„ู€ relations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูŠ. ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ
420
+
421
+ 106
422
+ 00:07:51,230 --> 00:07:56,050
423
+ ุงู†ุชูุช ุงู„ู€ for all. ูุฅุฐุง ุชุนุฑูŠู for all ู‡ูˆ ุฃูƒุซุฑ ุฏู‚ุฉ ู„ู„ู€
424
+
425
+ 107
426
+ 00:07:56,050 --> 00:08:02,750
427
+ reflexiveุŒ ู„ุงุฒู… ูƒู„ู‡ู… ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ุนุดุงู†
428
+
429
+ 108
430
+ 00:08:02,750 --> 00:08:07,090
431
+ ุชู†ููŠ for allุŒ ุชู†ููŠู‡ุง. ูุฅุฐุง ุนุดุงู† ุชู†ููŠู‡ุงุŒ ุฅูŠุด ูŠุนู†ูŠุŸ
432
+
433
+ 109
434
+ 00:08:07,090 --> 00:08:14,390
435
+ not reflexiveุŒ ู…ุนู†ุงุชู‡ ู‡ูŠูƒ. not reflexiveุŒ ู‡ูŠูƒ ุฃุตุจุญุช ู…ุง
436
+
437
+ 110
438
+ 00:08:14,390 --> 00:08:18,370
439
+ reflexiveุŒ ู„ุฃู†ู‡ุง ู…ุง ุญู‚ู‚ุชุด for allุŒ ุจุณ ู…ุด ุงู„ู€ irreflexiveุŒ
440
+
441
+ 111
442
+ 00:08:18,370 --> 00:08:24,410
443
+ ุงู„ู€ irreflexiveุŒ ู…ุนู†ุงุชู‡ ุงู„ู…ูƒู…ู„ุฉุŒ ุงู„ู…ูƒู…ู„ุฉ ู„ู„ู€ reflexiveุŒ
444
+
445
+ 112
446
+ 00:08:24,410 --> 00:08:28,470
447
+ ุงู„ู…ูƒู…ู„ุฉ ู„ู„ู€ reflexiveุŒ ูŠุนู†ูŠ ูˆู„ุง ุนู†ุตุฑ ู…ู† ุงู„ู€...
448
+
449
+ 113
450
+ 00:08:28,470 --> 00:08:34,040
451
+ ุงู„ู€ setุŒ ุงู„ู€ relation ู…ุน ู†ูุณู‡ุŒ ู‡ู„ุงู‚ูŠ ูˆุงุญุฏ ูˆุงุซู†ูŠู†ุŒ
452
+
453
+ 114
454
+ 00:08:34,040 --> 00:08:39,960
455
+ ู‡ู„ุงู‚ูŠ ุฎู…ุณุฉ ู…ุน ุณุจุนุฉุŒ ู‡ู„ุงู‚ูŠ ุซู„ุงุซุฉ ู…ุน ูˆุงุญุฏุŒ ู„ูƒู† ู…ุด
456
+
457
+ 115
458
+ 00:08:39,960 --> 00:08:43,100
459
+ ู‡ู„ุงู‚ูŠ ุงุซู†ูŠู† ู…ุน ุงุซู†ูŠู† ู…ุซู„ุงู‹ุŒ ูˆุงุญุฏ ู…ุน ูˆุงุญุฏุŒ ุฎู…ุณุฉ ู…ุน
460
+
461
+ 116
462
+ 00:08:43,100 --> 00:08:47,380
463
+ ุฎู…ุณุฉ. ูููŠ ุงู„ุญุงู„ุฉ ุฅุฐุง ูุนู„ุงู‹ ู„ุง ุชูˆุฌุฏ ูƒู„ ุนู†ุงุตุฑู‡ุง
464
+
465
+ 117
466
+ 00:08:47,380 --> 00:08:52,280
467
+ relation ุจูŠู† ุฃุฑู‚ุงู… ู…ุฎุชู„ูุฉ ุฃูˆ ุนู†ุงุตุฑ ู…ุฎุชู„ูุฉุŒ ู†ุณู…ูŠู‡ุง
468
+
469
+ 118
470
+ 00:08:52,280 --> 00:08:52,800
471
+ irreflexive.
472
+
473
+ 119
474
+ 00:09:00,560 --> 00:09:06,720
475
+ ุฃู†ุชูˆุง ุจุชุญูˆู„ูˆู‡ุง ู„ุตูŠุบุฉ ุซุงู†ูŠุฉุŒ ูŠุนู†ูŠ ู‡ูŠ ุจูƒู„ ุจุณุงุทุฉ ู„ู…ุง
476
+
477
+ 120
478
+ 00:09:06,720 --> 00:09:11,120
479
+ ุจู‚ูˆู„ for allุŒ ุจู…ุนู†ู‰: ูƒู„ ุนู†ุงุตุฑ ุงู„ู…ุฌู…ูˆุนุฉุŒ ูƒู„ ุนู†ุตุฑ ู…ู†
480
+
481
+ 121
482
+ 00:09:11,120 --> 00:09:15,600
483
+ ุนู†ุงุตุฑ ุงู„ู…ุฌู…ูˆุนุฉุŒ ู‡ูˆ ูŠูˆุฌุฏ ุจูŠู†ู‡ ูˆุจูŠู† ู†ูุณู‡ ุนู„ุงู‚ุฉ. ูƒูˆูŠุณุŸ
484
+
485
+ 122
486
+ 00:09:15,600 --> 00:09:22,560
487
+ ุจู…ุนู†ู‰ุŒ ู„ู…ุง ุฃู‚ูˆู„ ุงู„ู€ priority ู„ูƒู„ ูˆุงุญุฏ ููŠูƒู…ุŒ ุฃูƒูŠุฏ ุทุจุนุงู‹
488
+
489
+ 123
490
+ 00:09:22,560 --> 00:09:25,100
491
+ ููŠ ุงู„ู…ุฌู…ูˆุนุฉ ุจุชุงุนุชู†ุงุŒ ูƒู„ ูˆุงุญุฏ priority ู„ู‡ ู†ูุณู‡ ุฃุนู„ู‰
492
+
493
+ 124
494
+ 00:09:25,100 --> 00:09:28,580
495
+ ู…ู† priority ู„ู‡ ุบูŠุฑู‡ุŒ ุงู„ุฃูˆู„ูˆูŠุฉุŒ ู…ุด ุดุงูŠูุŸ ูุฅุฐุง
496
+
497
+ 125
498
+ 00:09:28,580 --> 00:09:34,280
499
+ reflexiveุŒ ุงู„ุนู„ุงู‚ุฉ ุงู„ุขู† ุจูŠู†... ุจูŠู† co ู‡ูŠ reflexive.
500
+
501
+ 126
502
+ 00:09:34,280 --> 00:09:38,600
503
+ ู„ู…ุง ุจู‚ูˆู„ ุงู„ู€ priority ู…ุซู„ุงู‹ุŒ ุงู„ุฃูˆู„ูˆูŠุฉุŒ ู…ูŠู† ุนู†ุฏูƒ ุงู„ุฃูˆู„ู‰
504
+
505
+ 127
506
+ 00:09:38,600 --> 00:09:42,300
507
+ ููŠ ุงู„ู‚ุงุนุฉุŸ ู‡ุชู‚ูˆู„: ู„ุฃุŒ ูˆุงู„ู„ู‡ ุฃู†ุง ุฃูˆู„ู‰ ู…ู† ู†ูุณูŠ... ู„ูŠู‡ุŸ
508
+
509
+ 128
510
+ 00:09:42,300 --> 00:09:45,880
511
+ ุตุญูŠุญุŸ ูู…ุนู†ู‰ ุฐู„ูƒุŒ ุจู‚ูˆู„ reflexive. ุทูŠุจุŒ ู„ูˆ ูˆุงุญุฏ ุทู„ุน
512
+
513
+ 129
514
+ 00:09:45,880 --> 00:09:52,400
515
+ ู†ูุณูŠุชู‡ ู†ุงุฒู„ุฉุŒ ูˆูˆุถุนู‡ ุฌุงู„ูƒ: ูŠุง ุนู…ุŒ ุฎู„ุงุต ู‡ูŠ ุฎุฑุจุงู†ุฉุŒ
516
+
517
+ 130
518
+ 00:09:52,400 --> 00:09:57,200
519
+ ุฎุฑุจุงู†ุฉุŒ ุฎุฑุจุงู†ุฉุŒ ุฎุฑุจุงู†ุฉ. ู„ุฃุŒ ุฃู†ุช ุฃูˆู„ู‰ ู…ู†ูŠ. ู‡ูŠ ุฎู„ุงุตุŒ ูŠุนู†ูŠ
520
+
521
+ 131
522
+ 00:09:57,200 --> 00:10:00,200
523
+ ูู‚ุฏ ุงู„ู…ูˆุถูˆุน. ูˆุงุญุฏ ูŠูƒููŠ ุฃู† ูŠู‚ูˆู„: ู„ุฃุŒ ู‡ูŠ ุฃูˆู„ู‰ ู…ู†ูŠ...
524
+
525
+ 132
526
+ 00:10:00,200 --> 00:10:04,080
527
+ ุฃู†ุช ุฃูˆู„ู‰ ู…ู†ูŠ. ุฎู„ุงุต... ู‡ูŠูƒ ุจุชุตูŠุฑ not reflexive...
528
+
529
+ 133
530
+ 00:10:04,080 --> 00:10:08,000
531
+ not reflexive. ุจุณ ุณุจุญุงู† ุงู„ู„ู‡ุŒ ุฅุฐุง ูƒุงู† ูƒู„ูƒูˆุง ุฃุตุญุงุจ
532
+
533
+ 134
534
+ 00:10:08,000 --> 00:10:12,240
535
+ ุฅูŠุซุงุฑุŒ ูˆูƒู„ูƒูˆุง... ูƒู„ูƒูˆุง ู‡ูŠูƒุŒ ูุฌุฃุฉ ุตุฑุชูˆุง ุฃุตุญุงุจ ุฅูŠุซุงุฑุŒ
536
+
537
+ 135
538
+ 00:10:12,240 --> 00:10:17,260
539
+ ูˆู„ุง ูˆุงุญุฏ ุงู„ู€ priority ู„ู†ูุณู‡ุŒ ูƒู„ู‡ ูŠุนุทูŠ priority ู„ุบูŠุฑู‡ุŒ
540
+
541
+ 136
542
+ 00:10:17,260 --> 00:10:23,410
543
+ ุฌุจู„ู‡ุŒ ู‡ู†ุง ุจุชุตูŠุฑ irreflexive. ุจุณ ู‡ู†ุง ุจุชุตูŠุฑ for all not
544
+
545
+ 137
546
+ 00:10:23,410 --> 00:10:36,590
547
+ reflexive. for all ู‡ู†ุงุŒ ูŠุนู†ูŠ ู„ู„ูƒู„ุŒ ู„ูŠุณุช ุฅูŠู‡ุŒ ุฃูˆ ู„ู„ูƒู„
548
+
549
+ 138
550
+ 00:10:36,590 --> 00:10:40,390
551
+ ุฅูŠู‡.
552
+
553
+ 139
554
+ 00:10:40,390 --> 00:10:46,970
555
+ ู„ูƒู„ ุงู„ุนู†ุงุตุฑุŒ ู„ุง ูŠูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆู†ูุณู‡. ู‡ู†ุง ุจุชู…ุดูŠ
556
+
557
+ 140
558
+ 00:10:46,970 --> 00:10:52,150
559
+ irreflexive. ุชู…ุงู…. ู†ุดูˆู ุฅูŠุด ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ุจูŠุนุทูŠู†ุง
560
+
561
+ 141
562
+ 00:10:52,150 --> 00:10:56,150
563
+ ุฅูŠุงู‡ุงุŒ ุจูŠุนุทูŠู†ูŠ ุงู„ู€ like. ุทุจุนุงู‹ุŒ ู…ู† ุฃุนู‚ุฏุŒ ุฃูˆ ุฎู„ูŠู†ูŠ ุฃู‚ูˆู„
564
+
565
+ 142
566
+ 00:10:56,150 --> 00:11:01,050
567
+ ู…ู† ุฃูƒุซุฑ ุงู„ู€ relations ุงู„ู„ูŠ ู…ุง ู„ู‡ุงุด rulesุŒ ุงู„ู„ูŠ ู‡ูŠ
568
+
569
+ 143
570
+ 00:11:01,050 --> 00:11:05,530
571
+ like. ูู„ูˆ ู‚ู„ู†ุง likes between people is not
572
+
573
+ 144
574
+ 00:11:05,530 --> 00:11:11,710
575
+ reflexiveุŒ ูˆุจุฑุถู‡ not irreflexive. ูุฅุฐุง likesุŒ x
576
+
577
+ 145
578
+ 00:11:11,710 --> 00:11:15,770
579
+ likes xุŒ ู…ุง ุฃู‚ุฏุฑุด ุฃุนู…ู„ ุนู„ู‰ ุงู„ูƒู„ ุฒูŠ ู…ุง ุฅุญู†ุง ุทูˆู„ ุงู„ูˆู‚ุช ู‚ู„ู†ุงุŒ
580
+
581
+ 146
582
+ 00:11:17,160 --> 00:11:20,720
583
+ ู…ุง ุฃู‚ุฏุฑุด ุฃุนู…ู…ู‡ุง ุนู„ู‰ ูƒู„ ุงู„ู€ people. ู…ุด ู‡ูŠูƒ. ูุฅุฐุง ู…ุง ุฃู‚ุฏุฑุด
584
+
585
+ 147
586
+ 00:11:20,720 --> 00:11:23,680
587
+ ุฃู‚ูˆู„ ุฅู† ู‡ูŠ reflexiveุŒ ูู‡ูŠ not reflexive. ุจุณ ููŠ ู†ูุณ
588
+
589
+ 148
590
+ 00:11:23,680 --> 00:11:27,960
591
+ ุงู„ูˆู‚ุชุŒ ู…ุง ุฃู‚ุฏุฑุด ุฃู‚ูˆู„ ุฅู† ูƒู„ ุงู„ู€ people ู‡ู… ู„ุง ูŠูุถู„ูˆุง
592
+
593
+ 149
594
+ 00:11:27,960 --> 00:11:33,900
595
+ ุฃู†ูุณู‡ู…. ู…ุด ู‡ูŠูƒ. ุฅูŠู‡ likes ุฅูŠู‡ุŸ ู…ุง ุฃู‚ุฏุฑุด ุจุฑุถู‡ ุฃู‚ูˆู„ ุฅูŠู‡
596
+
597
+ 150
598
+ 00:11:33,900 --> 00:11:40,320
599
+ dislikes ุฅูŠู‡ ู„ูƒู„ ุงู„ู€ ุฅูŠู‡ุŸ ูุฅุฐุง ุญุงู„ุฉ ุฒูŠ ู‡ุฐู‡ ู…ุง ู„ู‡ุงุด
600
+
601
+ 151
602
+ 00:11:40,320 --> 00:11:43,440
603
+ ruleุŒ ู‡ุฐู‡ ู„ุง ู‡ูŠูƒ ูˆู„ุง ู‡ูŠ ู‡ูŠูƒุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ุฒูŠ ู…ุง
604
+
605
+ 152
606
+ 00:11:43,440 --> 00:11:48,760
607
+ ู‚ู„ู†ุงุŒ everyone likes themselves ู…ุด ุจุงู„ุถุฑูˆุฑูŠุŒ ูˆููŠ
608
+
609
+ 153
610
+ 00:11:48,760 --> 00:11:53,910
611
+ ู†ูุณ ุงู„ูˆู‚ุชุŒ not everyone dislikes themselves. ู†ูุณ
612
+
613
+ 154
614
+ 00:11:53,910 --> 00:11:58,550
615
+ ุงู„ููƒุฑุฉ. ุทูŠุจุŒ ู…ุซุงู„ุŒ ู‡ุชุดูˆู ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„ู€ relations ุงู„ู„ูŠ
616
+
617
+ 155
618
+ 00:11:58,550 --> 00:12:02,870
619
+ ู…ูˆุฌูˆุฏุฉ ู‚ุฏุงู…ู†ุงุŒ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ domain ุฃูˆ ู„ู„ู€ set AุŒ ูˆุงุญุฏุŒ
620
+
621
+ 156
622
+ 00:12:02,870 --> 00:12:12,610
623
+ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉ. ู…ูŠู† ู…ู†ู‡ู… reflexiveุŸ ุงู„ุฃูˆู„ู‰. ู„ูŠุดุŸ
624
+
625
+ 157
626
+ 00:12:12,610 --> 00:12:15,350
627
+ ุงู„ุงุซู†ูŠู† ูˆุงู„ุงุซู†ูŠู†. ูุฅุฐุง no. ุงู„ุซุงู†ูŠุฉ...
628
+
629
+ 158
630
+ 00:12:17,460 --> 00:12:20,620
631
+ yes. ุงู„ุซุงู„ุซุฉุŒ ุฃูŠูˆุฉ ู…ุง ุดุงุก ุงู„ู„ู‡ุŒ ูˆุงุญุฏ ูˆุงุญุฏุŒ ุงุซู†ูŠู† ุงุซู†ูŠู†ุŒ
632
+
633
+ 159
634
+ 00:12:20,620 --> 00:12:27,220
635
+ ุงู‡ุŒ ููŠ ุงู„ุฃุฑุจุนุฉ. ูุฅุฐู† not for all. for all ู…ุนู†ุงุชู‡ ูƒู„ู‡ู….
636
+
637
+ 160
638
+ 00:12:27,220 --> 00:12:31,420
639
+ ุทุจ
640
+
641
+ 161
642
+ 00:12:31,420 --> 00:12:34,360
643
+ ู…ุงุดูŠ. ูู„ูŠูƒู† ุงุซู†ูŠู† ุซู„ุงุซุฉุŒ back relations ู…ุด ู…ุดูƒู„ุฉ. ุฃู†ุง
644
+
645
+ 162
646
+ 00:12:34,360 --> 00:12:38,280
647
+ ุงู„ู„ูŠ ูŠู‡ู…ู†ูŠ ูƒู„ relationุŒ ุงู„ุนู†ุตุฑ ู…ุน ู†ูุณู‡ุŒ ู…ุน ุดูŠุก ุซุงู†ูŠุŒ
648
+
649
+ 163
650
+ 00:12:38,280 --> 00:12:42,860
651
+ ุงู‡ุŒ ูู„ูŠูƒู†ุŒ ูˆุงุถุญูŠุชุŸ ุฃู†ุง ูƒุงู† ูŠู‡ู…ู†ูŠ ุฃู† ู‡ูŠ for all ุฅูŠู‡ ู…ุน
652
+
653
+ 164
654
+ 00:12:42,860 --> 00:12:46,340
655
+ ุฅูŠู‡ุŸ ู‡ุฐุง ุชุญู‚ู‚ ููŠ ุดูŠุก ุฅุถุงููŠุŒ ูู„ูŠูƒู†ุŒ ู…ุง ุนู†ุฏูŠุด ู…ุดูƒู„ุฉ
656
+
657
+ 165
658
+ 00:12:46,340 --> 00:12:51,860
659
+ ููŠู‡. ูŠุนู†ูŠ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุฃู† ุฃู†ุช likes yourselfุŒ ู…ุนู†ุงุชู‡
660
+
661
+ 166
662
+ 00:12:51,860 --> 00:12:56,060
663
+ ุฃู† ุฃู†ุช ุจุชูุถู„ุด ุบูŠุฑูƒ ุฃูˆ ุฃู†ุช ูƒุงุฑู‡ ู„ุบูŠุฑูƒ. ู…ุนู†ุงุชู‡ ู„ุฃุŒ
664
+
665
+ 167
666
+ 00:12:56,060 --> 00:13:03,380
667
+ ุฎู„ุงุต. okayุŒ A ู…ุน AุŒ ูˆA ู…ุน ุบูŠุฑ A. ุชู…ุงู…. ุทูŠุจ ู‡ูŠ ูƒู…ุงู†
668
+
669
+ 168
670
+ 00:13:03,380 --> 00:13:11,820
671
+ ู…ุซุงู„ุŒ ุฅูŠุด ุฑุฃูŠูƒู… ููŠ ู‡ุฐุงุŸ ุงู„ุฃูˆู„ู‰ุŒ ูˆูŠู† ููŠุด ุซู„ุงุซุฉ ุซู„ุงุซุฉุŒ
672
+
673
+ 169
674
+ 00:13:11,820 --> 00:13:20,980
675
+ no. ุงู„ุซุงู†ูŠุฉ... ุงู„ุซุงู„ุซุฉุŒ ู‡ูŠ ุญู„ูˆุฉ. ุงู„ุซุงู„ุซุฉ ุดูƒู„ู‡ุง ูƒูˆูŠุณุฉ. ุงู„ุฑุงุจุนุฉ
676
+
677
+ 170
678
+ 00:13:20,980 --> 00:13:27,800
679
+ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ููŠู‡ุงุŸ ูˆู„ุง ูˆุงุญุฏุฉ reflexive. ุงู„ุฑุงุจุนุฉ
680
+
681
+ 171
682
+
683
+ 223
684
+ 00:17:56,270 --> 00:18:00,250
685
+ ุจุงู„ุถุฑูˆุฑูŠ ุชูƒูˆู† ู…ุด ู…ุณุงูˆูŠุฉ ู„ู„ู€ inverseุŒ ุชุจุญุซ ู‡ูŠ ู…ุด
686
+
687
+ 224
688
+ 00:18:00,250 --> 00:18:04,470
689
+ symmetricุŒ ู‡ู†ุง ู…ุด symmetricุŒ ุทูŠุจ ุงู„ู€ binary relation
690
+
691
+ 225
692
+ 00:18:04,470 --> 00:18:11,270
693
+ RุŒ ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ุง antisymmetricุŒ antisymmetric ุฅุฐุง A ูˆ
694
+
695
+ 226
696
+ 00:18:11,270 --> 00:18:20,740
697
+ B ูŠู†ุชู…ูŠุงู† ู„ู€ R ูŠู‚ูˆุฏู†ุง ุฃู† B ูˆ A ู„ุง ูŠู†ุชู…ูŠุงู† ู„ู€ R ุฅู„ุง ุฅุฐุง
698
+
699
+ 227
700
+ 00:18:20,740 --> 00:18:26,580
701
+ ูƒุงู†ุง ู…ุชุณุงูˆูŠูŠู†ุŒ reflexive ุฅู„ุง ุฅุฐุง ูƒุงู† A ูˆB ุจูŠุณุงูˆูŠุง
702
+
703
+ 228
704
+ 00:18:26,580 --> 00:18:33,500
705
+ ุจุนุถุŒ ู„ุฃู†ู‡ ู…ุด ู‡ู„ุงู‚ูŠ A ูˆB .. A ูˆAุŒ ูˆู‡ู„ุงู‚ูŠู‡ุง ูƒู…ุงู† ู…ุฑุฉ
706
+
707
+ 229
708
+ 00:18:33,500 --> 00:18:37,520
709
+ A ูˆA ู‡ูŠ ู†ูุณู‡ุงุŒ ุชูƒุฑุฑ ู†ูุณู‡ุงุŒ ูู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู„ูŠ
710
+
711
+ 230
712
+ 00:18:37,520 --> 00:18:43,880
713
+ ู…ู…ูƒู† ุชุดูˆูู‡ุงุŒ ุทูŠุจ ุงู„ู€ Antisymmetric ู„ุฃู†ู‡ ู„ุง
714
+
715
+ 231
716
+ 00:18:43,880 --> 00:18:49,960
717
+ ุชุณุงูˆูŠ ู‡ูŠู‡ุงุŒ ุงุญู†ุง ู‚ู„ู†ุง ู„ุง ูŠู†ุชู…ูŠุŒ ุตุญ ู…ุงุดูŠุŒ ู‡ูŠ ู„ุง ุชู†ุชู…ูŠุŒ
718
+
719
+ 232
720
+ 00:18:49,960 --> 00:18:54,580
721
+ ุงู„ู„ูŠ ุฃุตุบุฑ ู…ู†ูƒ ุฃู†ุช ุชู†ุชู…ูŠุŒ ุนูƒุณู‡ุง ู„ุง ูŠู†ุชู…ูŠุŒ ูƒูˆูŠุณ
722
+
723
+ 233
724
+ 00:18:54,580 --> 00:19:00,040
725
+ likesุŒ ู‡ุฐูŠ ุฎุงุฑุฌ ุฃูŠ ู…ู‚ู„ูˆุจ ุงู„ู€ likesุŒ ุงู„ู€ likes ุฎุงุฑุฌ ุฃูŠ
726
+
727
+ 234
728
+ 00:19:00,040 --> 00:19:04,760
729
+ ู…ู‚ู„ูˆุจุŒ ู…ุด ู‡ุชู„ุงู‚ูŠู‡ุง ุจุชุตุทุจ ู…ุน ุฃูŠ relation
730
+
731
+ 235
732
+ 00:19:09,760 --> 00:19:13,180
733
+ AntisymmetricุŒ ุทุจุนุง ุงูŠ ู†ุนู…ุŒ ุจุงู„ุธุจุท ู„ุฃู†ู‡ ู…ู…ูƒู† ู…ุน
734
+
735
+ 236
736
+ 00:19:13,180 --> 00:19:17,860
737
+ ู†ูุณู‡ุงุŒ ุจูŠู…ุดูŠ ุงู„ุญุงู„ุŒ ูƒู„ุงู…ูƒ ุตุญูŠุญุŒ ุทูŠุจ ู„ู…ุง ู†ู‚ูˆู„ุŒ ุงู„ุขู† ู†ุนูŠุฏ
738
+
739
+ 237
740
+ 00:19:17,860 --> 00:19:21,120
741
+ ุงู„ุชุนุฑูŠูุงุช ุงู„ุซู„ุงุซุฉุŒ ูˆ ู†ุนุฑู ุงู„ู€ asymmetric ู…ุนู‡ุงุŒ ู‚ูˆู„ู†ุง
742
+
743
+ 238
744
+ 00:19:21,120 --> 00:19:28,300
745
+ symmetric ุฅุฐุง ูƒุงู†ุช B ูˆ A ุชู†ุชู…ูŠุงู† ู„ู€ RุŒ ูุฅุฐุง A ูˆ B ุจุฑุถู‡
746
+
747
+ 239
748
+ 00:19:28,300 --> 00:19:32,220
749
+ ุจุชูƒูˆู† ุชู†ุชู…ูŠ ู„ู†ูุณ ุงู„ู€ RุŒ ูƒูˆูŠุณุŒ ุฎู„ุตู†ุง ู‡ุฐู‡ุŒ ุนุงุฑููŠู† ู…ุง ููŠุด
750
+
751
+ 240
752
+ 00:19:32,220 --> 00:19:35,380
753
+ ู…ุดูƒู„ุฉ ููŠู‡ุงุŒ ุงู„ู€ antisymmetric ู‚ูˆู„ู†ุงู‡ุง ุจุฑุถู‡ ู†ูุณ
754
+
755
+ 241
756
+ 00:19:35,380 --> 00:19:43,040
757
+ ุงู„ูƒู„ุงู…ุŒ A ุชุณุงูˆูŠ B whenever A ูˆB ูŠู†ุชู…ูŠุงู† ู„ู€ R and B ูˆA
758
+
759
+ 242
760
+ 00:19:43,040 --> 00:19:48,720
761
+ ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ุฅุฐุง ุฅูŠุด ูŠุนู†ูŠ ุงู„ู€ whenever ู‡ุฐู‡ุŒ ู„ูˆ ุฃู†ุชูˆ
762
+
763
+ 243
764
+ 00:19:48,720 --> 00:19:54,000
765
+ ุฐูƒุฑุชูˆุง ุฌุฒุฆูŠุฉ ุงู„ู€ implication ูƒุงู†ุช ุจุงู„ุนูƒุณุŒ ูƒู†ุง
766
+
767
+ 244
768
+ 00:19:54,000 --> 00:19:59,530
769
+ ุจู†ู‚ูˆู„ู‡ุง Q whenever PุŒ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† .. ุฅุฐุง ูƒุงู† ..
770
+
771
+ 245
772
+ 00:19:59,530 --> 00:20:02,590
773
+ ูŠุนู†ูŠ ูƒุฃู†ู†ูŠ ุจุฏูŠ ุฃุนูŠุฏ ุตูŠุงุบุชู‡ุงุŒ ุฅุฐุง ูƒุงู† A ูˆ B ูŠู†ุชู…ูŠุงู† ู„ู€ R
774
+
775
+ 246
776
+ 00:20:02,590 --> 00:20:07,990
777
+ ูˆ B ูˆ A ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ุฅุฐุง A ูˆ B ู„ุงุฒู… ูŠุณุงูˆูŠุง ุจุนุถุŒ ุงู„ู€
778
+
779
+ 247
780
+ 00:20:07,990 --> 00:20:11,850
781
+ symmetricุŒ ู…ุด ู„ุงุฒู… ูŠุณุงูˆูŠุง ุจุนุถ ุงู„ู€ A ูˆ ุงู„ู€ BุŸ ู„ุฃ ููŠ ุงู„ู€
782
+
783
+ 248
784
+ 00:20:11,850 --> 00:20:14,730
785
+ symmetric ู„ุงุฒู… ุฏุงุฆู…ุงู‹ ูŠุณุงูˆูŠ ุจุนุถุŒ ุจุณ ุฃู…ุง .. ู…ุด ุฃูƒุจุฑ
786
+
787
+ 249
788
+ 00:20:14,730 --> 00:20:20,570
789
+ .. ู‡ุฐุง symmetricุŒ ุงู„ู€ A ูˆ ุงู„ู€ B ู…ุด ุถุฑูˆุฑูŠ ูŠุณุงูˆูŠุง ุจุนุถุŒ ู„ุฃ
790
+
791
+ 250
792
+ 00:20:20,570 --> 00:20:23,710
793
+ ู…ู…ูƒู† ูŠุณุงูˆูŠุง ุจุนุถุŒ ู…ู‡ูˆ ู„ูˆ ุณูˆุง ุจุนุถ ู‡ุชูƒูˆู† .. ู‡ุชูƒูˆู† ..
794
+
795
+ 251
796
+ 00:20:23,710 --> 00:20:29,190
797
+ ู„ูŠู‡ุŸ ุทุจ ู‡ูŠ .. ู„ุฃ ุนููˆู‹ุง ู‡ูŠ .. ู‡ุฐูŠ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ุชู†ุชู…ูŠ
798
+
799
+ 252
800
+ 00:20:29,190 --> 00:20:34,450
801
+ ู„ู€ RุŒ ุทูŠุจ ูˆ ุฅูŠุด ุนูƒุณู‡ุงุŸ ุจุฑุถู‡ ูˆุงุญุฏ ูˆ ูˆุงุญุฏุŒ ูˆ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
802
+
803
+ 253
804
+ 00:20:34,450 --> 00:20:37,690
805
+ ุฃุตู„ู‹ุง ูู‡ูŠ ุจุชู†ุชู…ูŠ ุจุฑุถู‡ ู„ู€ RุŒ ุจุณ ู‡ูˆ ููŠ ุงู„ุนูƒุณ ู…ุง ุชุฑูƒ ุฌุงู„ูƒ
806
+
807
+ 254
808
+ 00:20:37,690 --> 00:20:40,410
809
+ ุฅู†ู‡ ู…ุง ุฃุนุทุงูƒ ุดุฑุท ุฌุงู„ูƒ ุงู„ู„ูŠ ู„ุงุฒู… ุงู„ู€ A ูˆ ุงู„ู€ B ุณูˆุง ุจุนุถ
810
+
811
+ 255
812
+ 00:20:40,410 --> 00:20:44,930
813
+ ุทูŠุจุŒ ุนุงุฑู ุงุญู†ุง ุงู„ู€ implication ุฏุงุฆู…ุงู‹ ุจุญุท ู„ูƒู… ุฑุณู…ุชู‡ุง
814
+
815
+ 256
816
+ 00:20:44,930 --> 00:20:48,730
817
+ ู„ุฃู†ู‡ ุจูŠุซูŠุฑ ุชุฑูƒูŠุฒ ุนู†ุฏูŠ ุงู„ุขู†ุŒ ูƒู„ ู…ุฑุฉ ุจู†ุฑูˆุญ ู„ู„ู€
818
+
819
+ 257
820
+ 00:20:48,730 --> 00:20:55,360
821
+ implicationุŒ ุจู†ุฑุฌุน ู„ู‡ุง ู„ุฃู†ูƒ ุจุฏูƒ ุชูุญุตู‡ุงุŒ ูƒูˆูŠุณุŒ ู‡ุฐู‡ ู…ุด
822
+
823
+ 258
824
+ 00:20:55,360 --> 00:20:57,880
825
+ ุฒูŠ ู…ุง ุฃู†ุช ู…ุชุฎูŠู„ู‡ุง ุฃู†ู‡ ุฅุฐุง ุตุงุฑ ูƒุฐุง ุตุงุฑ ูƒุฐุง ูˆ ุฎู„ุงุต
826
+
827
+ 259
828
+ 00:20:57,880 --> 00:21:04,500
829
+ ู‡ุฐู‡ ูƒุฃู†ู‡ ุจูŠู‚ูˆู„ ู„ูƒ A ู‡ุชูƒูˆู† ุจุชุณุงูˆูŠ ุฏุงุฆู…ุงู‹ B ููŠ ุญุงู„ุฉ
830
+
831
+ 260
832
+ 00:21:04,500 --> 00:21:16,980
833
+ ุฃู†ู‡ ู‡ูŠ ุนูƒุณ ู†ูุณู‡ุงุŒ ุจุณ otherwise ู„ุฃุŒ otherwise ู„ุฃุŒ ุขู‡
834
+
835
+ 261
836
+ 00:21:19,230 --> 00:21:24,130
837
+ ุตุญูŠุญุŒ ุทูŠุจ ู‡ุฏูŠ .. ู„ุฃ ู‡ุฏูŠูƒ symmetric .. ู‡ุฏูŠูƒ
838
+
839
+ 262
840
+ 00:21:24,130 --> 00:21:28,570
841
+ symmetricุŒ ู…ุง ููŠุด ู…ุดูƒู„ุฉุŒ ู…ุด ู‡ุชูŠุฌูŠ asymmetricุŒ ุนููˆู‹ุง
842
+
843
+ 263
844
+ 00:21:28,570 --> 00:21:31,330
845
+ ุจุชูŠุฌูŠ asymmetric .. ุจุชูŠุฌูŠ asymmetric ู„ุฃู†ู‡ ู„ุง ูŠู…ูƒู†
846
+
847
+ 264
848
+ 00:21:31,330 --> 00:21:35,210
849
+ ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุฅู„ุง ููŠ ุญุงู„ุฉ ุฅู† ู‡ู…ุง ุจูŠุณุงูˆูŠุง ุจุนุถ ุจุณ .. ู„ุฃ
850
+
851
+ 265
852
+ 00:21:35,210 --> 00:21:37,450
853
+ ู…ุด ู‡ุชูŠุฌูŠ ุฃู†ุช symmetric .. ุจุชูŠุฌูŠุด ุฃู†ุช symmetric
854
+
855
+ 266
856
+ 00:21:37,450 --> 00:21:41,730
857
+ ูุงุญู†ุง ุชูˆ ูƒู†ุง ุนุงุฑููŠู†ู‡ุง ุฅูŠุดุŸ ูˆูŠู†ู‡ุงุŸ symmetric
858
+
859
+ 267
860
+ 00:21:43,790 --> 00:21:46,790
861
+ SymmetricุŒ ๏ฟฝ๏ฟฝูŠ ูุนู„ุงู‹ SymmetricุŒ ุฅูŠุด ุงู„ู„ูŠ ุฏุฎู„ู‡ุง ููŠ ุงู„ู€
862
+
863
+ 268
864
+ 00:21:46,790 --> 00:21:49,010
865
+ Anti-Symmetric ุนุดุงู† ุชููˆุถ ููŠ ูˆุฌู‡ุฉ ู†ุธุฑูƒุŸ ุฅูŠุด ุงู„ู„ูŠ
866
+
867
+ 269
868
+ 00:21:49,010 --> 00:21:53,330
869
+ ุฎู„ุงูƒ ุชุฑูˆุญ ู„ู„ู€ Anti-Symmetric ููŠู‡ุงุŸ
870
+
871
+ 270
872
+ 00:21:53,330 --> 00:21:58,650
873
+ ู…ุงุดูŠุŒ ุจุณ ุงู„ู€ Asymmetric ู…ุนู†ุงุชู‡ ุฃู†ุช ุจุฏูƒ ุชูุชุฑุถ ุฃู† ุงู„ู€
874
+
875
+ 271
876
+ 00:21:58,650 --> 00:22:07,900
877
+ relation ุชุณู…ุญ ุฃู† X is married to YุŒ ูƒูˆูŠุณุŒ ูˆ Y ู„ูŠุณุช
878
+
879
+ 272
880
+ 00:22:07,900 --> 00:22:12,840
881
+ married to XุŒ ู‡ู„ ุจุชุณู…ุญุŸ ู…ุด ู‡ุชุธุจุทุŒ ูุฅุฐุง ู…ุง ุจุชูŠุฌูŠุด ุฃู†ุช
882
+
883
+ 273
884
+ 00:22:12,840 --> 00:22:16,280
885
+ symmetricุŒ ู‡ูˆ ุฌุฒุกุŒ ูŠุนู†ูŠ ู…ุด ู‡ูŠูƒูˆู† ู…ู†ุทู‚ ุฃู† X is
886
+
887
+ 274
888
+ 00:22:16,280 --> 00:22:21,520
889
+ married to XุŒ ู…ุซู„ุงู‹ุŒ ุขู‡ ู…ุงุดูŠุŒ ุขู‡ ุฃู†ุช ุงุชูƒู„ู…ุช ููŠ ุฌู…ู„ุฉ
890
+
891
+ 275
892
+ 00:22:21,520 --> 00:22:27,060
893
+ ุซุงู†ูŠุฉุŒ ุชู…ุงู…ุŒ ุทูŠุจ
894
+
895
+ 276
896
+ 00:22:27,060 --> 00:22:31,860
897
+ ุงู„ู€ .. ูู‡ู†ุง ู‡ุฐู‡ ู…ุนู†ุงู‡ุง ุจูƒู„ ุจุณุงุทุฉ ุนุดุงู† ู†ุญูˆู‘ู„ู‡ุง
898
+
899
+ 277
900
+ 00:22:31,860 --> 00:22:39,200
901
+ ุงู„ู€ whenever ู‡ุฐู‡ุŒ ู…ุนู†ุงุชู‡ ุจุฏู‡ ุฃุฌูŠุจ ู‡ุฏู ุงู„ุฃูˆู„ุŒ A ูˆ B ูŠู†ุชู…ูŠุงู†
902
+
903
+ 278
904
+ 00:22:39,200 --> 00:22:44,920
905
+ ู„ู€ R and B ูˆ A ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ู‡ุฐุง ุจูŠุถู…ู†ุŒ ุฅุฐุง ุญุฏุซ ู‡ุฐุง
906
+
907
+ 279
908
+ 00:22:44,920 --> 00:22:49,420
909
+ ุงู„ูƒู„ุงู…ุŒ ุจูŠุถู…ู†ุŒ ู…ุนู†ุงุชู‡ A ูˆ B ุจูŠุณุงูˆูŠุง ุจุนุถุŒ otherwise ู„ุฃ
910
+
911
+ 280
912
+ 00:22:49,420 --> 00:22:54,940
913
+ otherwiseุŒ ู…ุธุจูˆุทุด ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุชูƒู„ู… ููŠู‡ุง
914
+
915
+ 281
916
+ 00:22:54,940 --> 00:23:00,720
917
+ ุจู…ุนู†ู‰ ุฃู†ู‡ ู‡ุฏูˆู„ ู…ู…ูƒู† ุนูƒุณู‡ู… ุจูŠุณุงูˆูŠุง ุจุนุถุŒ ุขู‡ ู…ู…ูƒู† ูŠุณุงูˆูŠุง
918
+
919
+ 282
920
+ 00:23:00,720 --> 00:23:06,180
921
+ ุจุนุถุŒ ููŠ ุญุงู„ุฉ ุฃู†ู‡ ู‡ุงูŠู…ุŒ ุฅุฐุง ุบูŠุฑ ู…ูˆุฌูˆุฏูŠู† ุจูŠู…ุดูŠ ุงู„ุญุงู„
922
+
923
+ 283
924
+ 00:23:06,180 --> 00:23:10,240
925
+ ุทุจุนุงู‹ ู…ุน ุงู„ุฃู…ุซู„ุฉ ุฃูƒูŠุฏ ู‡ุชูˆุถุญ ู…ุนุงูƒู… ุฃูƒุชุฑุŒ ู‡ู†ุง ู‡ุฐู‡
926
+
927
+ 284
928
+ 00:23:10,240 --> 00:23:17,800
929
+ ู…ุง ูƒู†ุชุด ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ููŠู‡ุงุŒ ู‡ุฐู‡ ุจู†ุญุทู‡ุง ุฅูŠุดุŸ ุฅุฐุง ูˆ ุฅุฐุง
930
+
931
+ 285
932
+ 00:23:17,800 --> 00:23:22,200
933
+ ูู‚ุทุŒ ุตุญูŠุญุŒ ู„ูŠุดุŸ ู„ุฃู† ูุนู„ุงู‹ ุฅุฐุง A ูˆ B ูŠู†ุชู…ูŠุงู† ู„ู€ R
934
+
935
+ 286
936
+ 00:23:22,200 --> 00:23:26,380
937
+ ูุจุงู„ุถุฑูˆุฑุฉ ู„ุงุฒู… ุชูƒูˆู† B ูˆ A ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ุทุจ ุงู„ุนูƒุณุŒ ุฅุฐุง B
938
+
939
+ 287
940
+ 00:23:26,380 --> 00:23:31,950
941
+ ูˆ A ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ุชู…ุงู…ุŒ ู†ู…ุณูƒ ุงู„ุชุงู†ูŠุฉุŒ ุงู„ูˆุงุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉ ู‡ู†ุง
942
+
943
+ 288
944
+ 00:23:31,950 --> 00:23:41,150
945
+ ุฅุฐุง A ูˆB ูŠู†ุชู…ูŠุงู† ู„ู€ R ูˆB ูˆA ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ู…ุนู†ุงุชู‡ ู‡ูŠูƒ
946
+
947
+ 289
948
+ 00:23:41,150 --> 00:23:43,870
949
+ ุงู„ู…ุจุฏุฃูŠู† ุฏุฎู„ู†ุง ููŠ SymmetricุŒ ู‡ูŠูƒ ุงู„ู…ุจุฏุฃูŠู† ุฏุฎู„ู†ุง
950
+
951
+ 290
952
+ 00:23:43,870 --> 00:23:47,110
953
+ ููŠ SymmetricุŒ ุตุญุŸ ู„ูƒู† ูƒุฃู†ู‡ ุจุฏูŠ ุฃู‚ูˆู„ ู„ูƒ ุงู„ู€ Symmetric
954
+
955
+ 291
956
+ 00:23:47,110 --> 00:23:52,250
957
+ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ู‚ุจูˆู„ุฉ ุฅุฐุง ูƒุงู†ูˆุง ุจูŠุณุงูˆูˆุง ุจุนุถุŒ ุฅุฐุง ูƒุงู†ูˆุง
958
+
959
+ 292
960
+ 00:23:52,250 --> 00:23:57,610
961
+ ุจูŠุณุงูˆูˆุง ุจุนุถุŒ ุชู…ุงู…ุŒ ูุชุนุงู„ ู†ุดูˆู ุฅูŠุด ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ู„ู„ู€
962
+
963
+ 293
964
+ 00:23:57,610 --> 00:24:04,320
965
+ false ู‡ู†ุงุŒ ู…ุซู„ุงู‹ุŒ ุนู†ุฏูƒ ุฃู† ุชูƒูˆู† ุงู„ุฃูˆู„ู‰ true ูˆุงู„ุซุงู†ูŠุฉ
966
+
967
+ 294
968
+ 00:24:04,320 --> 00:24:13,460
969
+ falseุŒ ุจู…ุนู†ู‰ ุฃู† A ูˆB ูŠู†ุชู…ูŠุงู† ู„ู€ R ูˆB ูˆA ูŠู†ุชู…ูŠุงู† ู„ู€ RุŒ ูˆู‡ู…
970
+
971
+ 295
972
+ 00:24:13,460 --> 00:24:17,780
973
+ ู…ุฎุชู„ููŠู†ุŒ ู‡ู†ุง ุญุชุตูˆุฑ Symmetric ู…ุด AntisymmetricุŒ ูุฅุฐุง
974
+
975
+ 296
976
+ 00:24:17,780 --> 00:24:24,140
977
+ ู‡ู†ุง ู…ุด ู‡ุชุธุจุทุŒ ู…ุด ู‡ู†ู‚ูˆู„ ุนู„ูŠู‡ุง Anti-SymmetricุŒ ุจู…ุนู†ู‰
978
+
979
+ 297
980
+ 00:24:24,140 --> 00:24:29,680
981
+ ู…ุถุงุฏ ู„ู„ู€ SymmetricุŒ ุทุจุนุงู‹ ุงู„ุฃุฎูŠุฑุฉ ู…ุด ููŠู‡ุง ู…ุดูƒู„ุฉุŒ ู„ูŠุดุŸ
982
+
983
+ 298
984
+ 00:24:29,680 --> 00:24:32,960
985
+ ู„ุฃู† ุงู„ุฃุฎูŠุฑุฉุŒ ุฅุฐุง ูˆุฌุฏุช A ูˆ B ุถู…ู† ุงู„ู€ relation
986
+
987
+ 299
988
+ 00:24:32,960 --> 00:24:36,360
989
+ ูุงู„ู…ูุฑูˆุถ ุฃู† B ูˆ A ู„ุง ุชูƒูˆู† ุถู…ู† ุงู„ู€ relationุŒ ูุจุณู…ูŠู‡ุง
990
+
991
+ 300
992
+ 00:24:36,360 --> 00:24:41,240
993
+ AsymmetricุŒ ู‡ุฐู‡ ู…ุจุงุดุฑุฉ ุนูƒุณ ู‡ุฐู‡ุŒ ุนูƒุณ ู‡ุฐู‡ ู…ุจุงุดุฑุฉุŒ ู…ุด
994
+
995
+ 301
996
+ 00:24:41,240 --> 00:24:47,460
997
+ ู…ุดูƒู„ุฉุŒ ุฃู…ุซู„ุฉ ุนุดุงู† ุชูˆุถุญ ู…ุนุงู†ูŠู‡ุงุŒ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ
998
+
999
+ 302
1000
+ 00:24:47,460 --> 00:24:53,520
1001
+ relationsุŒ ู‡ูŠ ุนู†ุฏูƒ ูˆุงุญุฏ ูˆ ูˆุงุญุฏุŒ ูˆุนู†ุฏูƒ ูˆุงุญุฏ ูˆ ุงุซู†ูŠู†ุŒ ูˆ
1002
+
1003
+ 303
1004
+ 00:24:53,520 --> 00:24:57,940
1005
+ ุนูƒุณู‡ุง ุงุซู†ูŠู† ูˆ ูˆุงุญุฏุŒ ุทูŠุจ
1006
+
1007
+ 304
1008
+ 00:24:57,940 --> 00:25:03,520
1009
+ ุนู†ุฏูƒ ุซู„ุงุซุฉ ูˆ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉุŒ symmetricุŒ ูุฅุฐุง ู‡ุฐู‡
1010
+
1011
+ 305
1012
+ 00:25:03,520 --> 00:25:09,900
1013
+ symmetricุŒ ู…ู…ุชุงุฒุŒ ุทุจ ุจู†ูุน ู†ู‚ูˆู„ ุขู‡ symmetricุŸ ู„ูŠุดุŸ ุขู‡
1014
+
1015
+ 306
1016
+ 00:25:09,900 --> 00:25:16,560
1017
+ ุนููˆู‹ุงุŒ ุฃู†ุช symmetricุŒ ู„ูŠุด ู…ุง ุจู†ูุนุดุŸ ุจุงู„ุธุจุทุŒ ู…ุนู†ุงุชู‡ ุฃู†ู‡
1018
+
1019
+ 307
1020
+ 00:25:16,560 --> 00:25:23,920
1021
+ ูŠูˆุฌุฏ ุนู†ุตุฑ ูˆุนูƒุณู‡ ูˆู„ุง ูŠุณุงูˆูŠ ุจุนุถุŒ ูุจุชู†ูุนุด
1022
+
1023
+ 308
1024
+ 00:25:23,920 --> 00:25:27,520
1025
+ ุฃู†ุช symmetricุŒ ูˆุฎู„ุงุตุŒ ู…ุฏุงู… ุฃู†ุง ู‚ู„ุช symmetric ูู‡ูŠ
1026
+
1027
+ 309
1028
+ 00:25:27,520 --> 00:25:31,140
1029
+ automatically ู„ูŠุณุช asymmetricุŒ ูู‡ุฐู‡ symmetric ูˆุจุณ
1030
+
1031
+ 310
1032
+ 00:25:31,140 --> 00:25:35,580
1033
+ symmetricุŒ ุทุจ ุงู„ุชุงู†ูŠุฉ ู‡ูŠู‡ุง
1034
+
1035
+ 311
1036
+ 00:25:35,580 --> 00:25:39,260
1037
+ ุงู„ุชุงู†ูŠุฉ ุจุชุตุทุจ ุนู„ู‰ ุงู„ุชู†ุชูŠู†ุŒ ุงู„ุชุงู†ูŠุฉ ู…ุซู„ุงู‹ ู‡ูŠ ู…ุธุจูˆุทุฉ
1038
+
1039
+ 312
1040
+ 00:25:39,260 --> 00:25:43,920
1041
+ symmetric ูˆ antisymmetricุŒ ุจุฑุถู‡ symmetric ูˆ Anti
1042
+
1043
+ 313
1044
+ 00:25:43,920 --> 00:25:49,360
1045
+ -symmetricุŒ ุงู„ุชุงู„ุชุฉ ู…ุจุฏุฆูŠุงู‹ asymmetricุŒ ู‡ู„ ู‡ูŠ Anti
1046
+
1047
+ 314
1048
+ 00:25:49,360 --> 00:25:57,660
1049
+ -symmetricุŸ ุงู„ุชุงู„ุชุฉ
1050
+
1051
+ 315
1052
+ 00:25:57,660 --> 00:26:04,540
1053
+ ู‡ูŠ ุงู„ุชุงู„ุชุฉุŒ ู‡ูŠ ุงู„ูˆุงุญุฏ ุงุซู†ูŠู†ุŒ ู‡ูŠ ุงู„ุชุงู„ุชุฉ symmetricุŒ
1054
+
1055
+ 316
1056
+ 00:26:04,540 --> 00:26:07,380
1057
+ ูุด ูˆู„ุง ูˆุงุญุฏุฉ symmetric ู„ู„ุชุงู†ูŠุฉุŒ ูู‡ูŠ asymmetricุŒ ุขู‡
1058
+
1059
+ 317
1060
+ 00:26:07,380 --> 00:26:11,100
1061
+ asymmetricุŒ ุฎู„ุตู†ุง ู…ู† ุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡ุŒ Anti-Symmetric
1062
+
1063
+ 318
1064
+ 00:26:12,020 --> 00:26:21,660
1065
+ AntisymmetricุŒ ุจู…ุนู†ู‰ ู„ุง ูŠูˆุฌุฏ ุฃูŠ ุนู†ุตุฑ ูˆุนูƒุณู‡ ุจุงุณุชุซู†ุงุก
1066
+
1067
+ 319
1068
+ 00:26:21,660 --> 00:26:25,520
1069
+ ุญุชู‰ ู„ูˆ ู…ุชุดุงุจู‡ูŠู† ูƒู…ุงู†ุŒ ุญุชู‰ ู„ูˆ ู…ุชุดุงุจู‡ูŠู† ู…ุด ู…ูˆุฌูˆุฏูŠู†
1070
+
1071
+ 320
1072
+ 00:26:25,520 --> 00:26:32,940
1073
+ ุจุงู„ุธุจุทุŒ ูู‡ู†ุง ู‡ุฐูŠ ุจุชูŠุฌูŠ Antisymmetric ูˆ AsymmetricุŒ
1074
+
1075
+ 321
1076
+ 00:26:32,940 --> 00:26:34,680
1077
+ ุงู„ุฃุฎูŠุฑุฉ
1078
+
1079
+ 322
1080
+ 00:26:44,570 --> 00:26:50,010
1081
+ ุทูŠุจ ู…ุจุฏุฆูŠู‹ุง symmetricุŒ ู„ุฃุŒ ู„ูŠุดุŸ ู…ุญุชุงุฌุฉ ูƒุงู†ุช ุฃุฑุจุนุฉ ุฃูˆ
1082
+
1083
+ 323
1084
+ 00:26:50,010 --> 00:26:54,350
1085
+ ูˆุงุญุฏุŒ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ูุฅุฐุง ุฎู„ุตู†ุง ู…ู†ู‡ุงุŒ ุทูŠุจ asymmetricุŒ
1086
+
1087
+ 324
1088
+ 00:26:54,350 --> 00:27:01,350
1089
+ asymmetricุŒ ุซู„ุงุซุฉ
1090
+
1091
+ 325
1092
+ 00:27:01,350 --> 00:27:05,380
1093
+ ุฃูˆ ุซู„ุงุซุฉ ุฃุฑุจุนุฉ ุฃูˆ ุฃุฑุจุนุฉ ุซู„ุงุซุฉุŒ ุฃูˆ ุซู„ุงุซุฉุŒ ุทูŠุจ ููŠ
1094
+
1095
+ 326
1096
+ 00:27:05,380 --> 00:27:08,440
1097
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุชุถู„ ุงู„ู€ Antisymmetric ุงู„ู„ูŠ ุจุฏู†ุง ู†ูุญุตู‡ุง
1098
+
1099
+ 327
1100
+ 00:27:08,440 --> 00:27:12,660
1101
+ ุงู„ู€ AntisymmetricุŒ ู…ุจุฏุฆูŠู‹ุง ูุนู„ุงู‹ ุฅุฐุง ูƒุงู†ูˆุง ู…ุฎุชู„ููŠู† ู„ุง
1102
+
1103
+ 328
1104
+ 00:27:12,660 --> 00:27:17,000
1105
+ ูŠูˆุฌุฏ ู„ู‡ุง ุนูƒุณุŒ ู…ุชุดุงุจู‡ูŠู†ุŒ ู‡ูŠ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ู‚ุจูˆู„ุฉุŒ ูู‡ู†ุง
1106
+
1107
+ 329
1108
+ 00:27:17,000 --> 00:27:22,220
1109
+ Antisymmetric ูˆุจุณุŒ ู…ุถุญูƒุชุŸ
1110
+
1111
+ 330
1112
+ 00:27:22,220 --> 00:27:25,500
1113
+ ูุฃู†ุช ู‡ู†ุง ุตุงุฑ ู†ุต ุจู†ุตุŒ ุจุนุถู‡ู… ู…ูˆุฌูˆุฏ ูˆุจุนุถู‡ู… ุบูŠุฑ ู…ูˆุฌูˆุฏ
1114
+
1115
+ 331
1116
+ 00:27:25,500 --> 00:27:28,540
1117
+ ูˆููŠ ู†ูุณ ุงู„ูˆุฌูˆุฏ ููŠู‡ุŒ ู„ูƒู† ุงู„ุนุงู„ู…ูŠู† ุนู„ู‰ ุงู„ู€
1118
+
1119
+ 332
1120
+ 00:27:28,540 --> 00:27:30,260
1121
+ Asymmetric ุงู„ู„ูŠ ู‡ูŠ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุฃุฑุจุนุฉุŒ ู…ุด ู…ูˆุฌูˆุฏุฉ
1122
+
1123
+ 333
1124
+ 00:27:30,260 --> 00:27:36,850
1125
+ ุนูƒุณู‡ุง ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ุนูƒุณู‡ุงุŒ ุทูŠุจุŒ ู†ุฑุฌุน ุดูˆูŠุฉ ุงู„ุนุจุงุฑุฉ ุนู„ู‰ ุงู„ู€
1126
+
1127
+ 334
1128
+ 00:27:36,850 --> 00:27:40,050
1129
+ relationsุŒ ู†ุญูƒูŠ ู†ูƒู…ู„ ุงู„ู…ูˆุถูˆุนุŒ ุนู„ุดุงู† ุนู„ู‰ ุงู„ู€ relations
1130
+
1131
+ 335
1132
+ 00:27:40,050 --> 00:27:41,930
1133
+ ู‡ุงู„ูˆู‚ุช ุจุฏู†ุง ู†ุดูˆู ู…ูŠู† ู…ู†ู‡ู… symmetric ูˆู…ูŠู†
1134
+
1135
+ 336
1136
+ 00:27:41,930 --> 00:27:49,270
1137
+ antisymmetricุŒ ุนู†ุฏูŠ ุงู„ู€ R1 ู‡ูŠ ูƒู„ relation ุจูŠู† A ูˆB
1138
+
1139
+ 337
1140
+ 00:27:49,270 --> 00:27:57,310
1141
+ ุจุดุฑุท ุฃู† A ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ BุŒ ู…ุจุฏุฆูŠู‹ุง
1142
+
1143
+ 338
1144
+ 00:27:57,310 --> 00:28:03,590
1145
+ antisymmetricุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู‡ุชูƒูˆู† A ูˆBุŒ ุฅุฐุง ู…ุฎุชู„ููŠู† ู…ุด
1146
+
1147
+ 339
1148
+ 00:28:03,590 --> 00:28:09,170
1149
+ ู‡ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู†ุŒ ุนูƒุณู‡ู…ุŒ ุฅุฐุง ู…ุฎุชู„ููŠู†ุŒ ุจู…ุนู†ู‰ ุฅุฐุง ูƒุงู†ุช A
1150
+
1151
+ 340
1152
+ 00:28:09,170 --> 00:28:18,330
1153
+ ูˆB ู„ุง ูŠุณุงูˆูŠุง ุจุนุถุŒ ูู‡ูŠ ู„ูŠุณุช symmetricุŒ A ู„ุง ุชุณุงูˆูŠ B
1154
+
1155
+ 341
1156
+ 00:28:18,330 --> 00:28:23,350
1157
+ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ A ุฃุตุบุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ BุŒ B ุฃุตุบุฑ ู…ู† ุฃูˆ
1158
+
1159
+ 342
1160
+ 00:28:23,350 --> 00:28:26,030
1161
+ ุชุณุงูˆูŠ AุŒ ู„ุฃ
1162
+
1163
+ 343
1164
+ 00:28:28,780 --> 00:28:35,940
1165
+ ุทูŠุจุŒ ุฃู…ุง ุฅุฐุง ุจูŠุณุงูˆูˆุง ุจุนุถุŒ ูุจู‚ุฏุฑ
1166
+
1167
+ 344
1168
+ 00:28:35,940 --> 00:28:40,400
1169
+ ุฃู‚ูˆู„ ุฃู† A ุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ BุŒ ูˆ B ุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ
1170
+
1171
+ 345
1172
+ 00:28:40,400 --> 00:28:46,320
1173
+ AุŒ ู„ุฅุซู†ูŠู† ุงู„ู…ูˆุฌูˆุฏูŠู†ุŒ ูุฅุฐุง antisymmetricุŒ ูุฅุฐุง ู‡ุชูƒูˆู†
1174
+
1175
+ 346
1176
+ 00:28:46,320 --> 00:28:53,200
1177
+ ู…ู†ุงุณุจุฉุŒ ุนู†ุฏูƒ ุฃู† ู‡ุชูƒูˆู† ู‡ู†ุง antisymmetricุŒ ุทูŠุจ ุฅูŠุด
1178
+
1179
+ 347
1180
+ 00:28:53,200 --> 00:28:58,760
1181
+ ูƒู…ุงู† ุนู†ุฏู†ุงุŒ ู„ูŠุด ู‡ุฏูˆู„ ุทุงู„ุนูŠู† ู„ููˆู‚ุŒ ุทุงู„ุน ูƒุชูŠุฑ ููˆู‚ุŸ ุทูŠุจ
1182
+
1183
+ 348
1184
+ 00:28:58,760 --> 00:29:08,120
1185
+ ุงู„ุชุงู†ูŠุฉุŒ A ุฃูƒุจุฑ ู…ู† BุŒ AntisymmetricุŒ
1186
+
1187
+ 349
1188
+ 00:29:08,120 --> 00:29:13,160
1189
+ ุจุชุธุจุทุŒ ูˆ Asymmetric ุจุชุธุจุทุŒ ูุฅุฐุง Antisymmetric ูˆ
1190
+
1191
+ 350
1192
+ 00:29:13,160 --> 00:29:16,620
1193
+ AsymmetricุŒ Antisymmetric ูˆุฅูŠุดุŸ ูˆ AsymmetricุŒ ู…ุด
1194
+
1195
+ 351
1196
+ 00:29:16,620 --> 00:29:22,980
1197
+ ุนุงุฑู ุดูƒู„ู‡ ุจูŠุตูŠุฑ shift ู…ุน ุงู„ู€ .. ุทูŠุจ
1198
+
1199
+ 352
1200
+ 00:29:22,980 --> 00:29:31,730
1201
+ ุงู„ุชุงู„ุชุฉุŒ ู„ุงุญุธ ุฅูŠุด ุฌุงูŠ ู„ูŠู‡ุŒ relation ุจูŠู† A ูˆ B ุจุญูŠุซ A
1202
+
1203
+ 353
1204
+ 00:29:31,730 --> 00:29:46,550
1205
+ ุชุณุงูˆูŠ B ุฃูˆ A ุชุณุงูˆูŠ minus BุŒ ุฅุฐุง
1206
+
1207
+ 354
1208
+ 00:29:46,550 --> 00:29:52,370
1209
+ A ุชุณุงูˆูŠ B orุŒ ุทุจุนุงู‹ or
1210
+
1211
+ 355
1212
+ 00:29:54,920 --> 00:30:02,000
1213
+ A ุชุณุงูˆูŠ minus BุŒ ุฅุฐุง ูƒุงู† ุจูŠุณุงูˆูŠ ุจุนุถ ูู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ูู‡ูŠ
1214
+
1215
+ 356
1216
+ 00:30:02,000 --> 00:30:05,740
1217
+ ู…ูˆุฌูˆุฏุฉุŒ ุฅุฐุง ูƒุงู† ุจูŠุณุงูˆูŠ ุจุนุถุŒ ุทูŠุจ ุฅุฐุง ูƒุงู† ู„ุง ูŠุณุงูˆูŠ ุจุนุถ
1218
+
1219
+ 357
1220
+ 00:30:05,740 --> 00:30:11,740
1221
+ ุจู…ุนู†ู‰ A ู„ุง ุชุณุงูˆูŠ BุŒ A ู„ุง ุชุณุงูˆูŠ BุŒ ุจุณ ู‡ูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ
1222
+
1223
+ 358
1224
+ 00:30:11,740 --> 00:30:20,040
1225
+ ู‡ุชูƒูˆู† ุจุชุณุงูˆูŠ ุณุงู„ุจ BุŒ ุทูŠุจ ู„ูˆ ุนูƒุณู†ุงู‡ู…ุŒ ู‡ู„ ุณุงู„ุจ A ูŠุณุงูˆูŠ
1226
+
1227
+ 359
1228
+ 00:30:20,040 --> 00:30:20,260
1229
+ BุŸ
1230
+
1231
+ 360
1232
+ 00:30:24,680 --> 00:30:28,640
1233
+ ูƒุฃู† ุนูƒุณ ู†ู‚ู„ุŒ ุนุงุฑูุŸ ู‡ู‡ุŒ ุฅุฐุง ุฃู†ุช ุจุฏูƒ ุฅูŠู‡ุง ุจู†ูุณ
1234
+
1235
+ 361
1236
+ 00:30:28,640 --> 00:30:36,260
1237
+ ู…ุณู…ูŠุชู‡ุงุŒ ุฎู„ุงุตุŒ ุจูŠ ูˆ ุขูŠู‡ุŸ ู…ุงุดูŠุŒ ู…ุด ุดูƒุŸ ู„ู…ุง ุชู‚ูˆู„ ู‡ู†ุง
1238
+
1239
+ 362
1240
+ 00:30:36,260 --> 00:30:44,650
1241
+ ุซู„ุงุซุฉ ูˆุณุงู„ุจ ุซู„ุงุซุฉุŒ ูˆู„ุง ุชู‚ูˆู„ ุณุงู„ุจ ุซู„ุงุซุฉ ุซู„ุงุซุฉุŒ ุจุชู…ุดูŠ
1242
+
1243
+ 363
1244
+ 00:30:44,650 --> 00:30:48,130
1245
+ ูุฅุฐุง ู‡ูŠ symmetricุŒ ุขู‡ symmetricุŒ ู‡ุฐู‡ ู‡ุชูƒูˆู† symmetric
1246
+
1247
+ 364
1248
+ 00:30:48,130 --> 00:30:55,650
1249
+ ุนู†ุฏูƒ ู‡ุฐู‡ ู‡ู†ุง ู‡ุชูƒูˆู† symmetricุŒ ุทูŠุจ ู…ูŠู† ุงู„ู„ูŠ ุจุนุฏู‡ุงุŸ
1250
+
1251
+ 365
1252
+ 00:30:55,650 --> 00:31:01,930
1253
+ ูˆุงุถุญุฉ ูƒุชูŠุฑ ุงู„ุดูŠุกุŒ ูˆ
1254
+
1255
+ 366
1256
+ 00:31:01,930 --> 00:31:07,290
1257
+ ุฃู†ุช symmetricุŒ ูˆุฃู†ุช symmetric ูƒู…ุงู†ุŒ ุชู…ุงู…ุŒ ุขู‡ ุฎู„ุงุต ู‡ูŠ
1258
+
1259
+ 367
1260
+ 00:31:07,290 --> 00:31:12,810
1261
+ ุขู‡ ุฌุช ู…ุนุงู‡ุงุŒ ู„ุฃ ู…ุง ุฌุชุด ู…ุนุงู‡ุงุŒ ู„ุฃุŒ ู‡ุฐู‡ ู…ุนุงู‡ุง ู‡ุฐู‡
1262
+
1263
+ 368
1264
+ 00:31:15,620 --> 00:31:23,480
1265
+ ุทูŠุจ ุงู„ุฎุงู…ุณุฉุŒ A ูˆB ุจุดุฑุท ุฃู† A ุชุณุงูˆูŠ B ุฒุงุฆุฏ ูˆุงุญุฏุŒ ู‡ุฐู‡ ู…ุด
1266
+
1267
+ 369
1268
+ 00:31:23,480 --> 00:31:28,360
1269
+ symmetricุŒ ูˆู„ุง ูŠู…ูƒู† ุชูƒูˆู† symmetricุŒ asymmetric ูˆ Anti
1270
+
1271
+ 370
1272
+ 00:31:28,360 --> 00:31:35,900
1273
+ -symmetricุŒ ูุฅุฐู† ุจุชุธุจุท ุงู„ุฅุซู†ูŠู† ู…ุน ุจุนุถุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู†
1274
+
1275
+ 371
1276
+ 00:31:35,900 --> 00:31:40,540
1277
+ A ูˆB ู…ุด ู‡ูŠุณุงูˆูˆุง ุจุนุถุŒ ุนุดุงู† ุชุชุญู‚ู‚ ูุนู„ุงู‹ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ุŒ A
1278
+
1279
+ 372
1280
+ 00:31:40,540 --> 00:31:48,510
1281
+ ูˆBุŒ ูˆู„ุง ูŠู…ูƒู† ูŠุณุงูˆูŠุง ุจุนุถุŒ ุฅูŠุด ุงู„ุณุงุฏุณุฉุŸ ุงู„ุณุงุฏุณุฉ A ูˆB
1282
+
1283
+ 373
1284
+ 00:31:48,510 --> 00:31:55,610
1285
+ ุจุดุฑุท A ุฒุงุฆุฏ B ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุซู„ุงุซุฉุŒ A ุฒุงุฆุฏ B ุฃู‚ู„ ู…ู†
1286
+
1287
+ 374
1288
+ 00:31:55,610 --> 00:32:01,510
1289
+ ุฃูˆ ุชุณุงูˆูŠ ุซู„ุงุซุฉุŒ ุทุจ ู„ูˆ ุนูƒุณู†ุงู‡ู… ุจุฑุถู‡
1290
+
1291
+ 375
1292
+ 00:32:01,510 --> 00:32:06,090
1293
+ ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุซู„ุงุซุฉุŒ ูุฅุฐุง ุงุณุชุฎุฏู…ุช A ูˆB ุฃูˆ ุงุณุชุฎุฏู…ุช
1294
+
1295
+ 376
1296
+ 00:32:06,090 --> 00:32:06,730
1297
+ B ูˆA
1298
+
1299
+ 377
1300
+ 00:32:09,640 --> 00:32:12,320
1301
+ ูƒุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ ู„ู„ู€ relationุŒ ุนุดุงู† ู†ุนูˆุถ ููŠู‡ู… ููŠ ุงู„ู€
1302
+
1303
+ 378
1304
+ 00:32:12,320 --> 00:32:15,220
1305
+ relationุŒ ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุซุงู†ูŠุŒ ู…ุง ู‡ูŠ ู‡ู†ุง ุฅูŠุด
1306
+
1307
+ 379
1308
+ 00:32:15,220 --> 00:32:18,820
1309
+ ุงู„ููƒุฑุฉ ุฃู†ู‡ ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุซุงู†ูŠ ุจุณุŒ ุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ
1310
+
1311
+ 380
1312
+ 00:32:18,820 --> 00:32:22,280
1313
+ ุงู„ุชุฑุชูŠุจุŒ ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒุŒ ุงู„ุชุฑุชูŠุจ ู„ู…ุง ุจู‚ูˆู„ ุฃุตุบุฑ ู…ู† A
1314
+
1315
+ 381
1316
+ 00:32:22,280 --> 00:32:25,520
1317
+ ูˆBุŒ ูƒุฃู†ู‡ ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุซุงู†ูŠ ููŠ ุงู„ู€ relationุŒ ูู‡ู†ุง
1318
+
1319
+ 382
1320
+ 00:32:25,520 --> 00:32:28,240
1321
+ ุญุทูŠุช ุงู„ู€ A ู‚ุจู„ ุงู„ู€ B ูˆู„ุง ุญุทูŠุช ุงู„ู€ B ู‚ุจู„ ุงู„ู€ AุŒ ู…ุด
1322
+
1323
+ 383
1324
+ 00:32:28,240 --> 00:32:36,920
1325
+ ู‡ุชูุฑู‚ุŒ ู…ุด ู‡ุชูุฑู‚ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุชู…ุงู…ุŒ ุทูŠุจุŒ ู„ุฃ
1326
+
1327
+ 384
1328
+ 00:32:36,920 --> 00:32:41,180
1329
+ ุงู„ุนู„ุงู‚ุฉ ู†ูุณู‡ุงุŒ ุญุชู‰ ููŠ ุงู„ุนู„ุงู‚ุฉ ู†ูุณู‡ุงุŒ ุงู„ูˆู‚ุช A ุฒุงุฆุฏ B
1330
+
1331
+ 385
1332
+ 00:32:41,180 --> 00:32:48,820
1333
+ ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุซู„ุงุซุฉุŒ ูƒูˆูŠุณุŒ ุทูŠุจ ู„ู…ุง ู†ุนูƒุณู‡ู… ู‡ูŠุฎุชู„ู
1334
+
1335
+ 386
1336
+ 00:32:48,820 --> 00:32:58,350
1337
+ ู…ุด ู‡ุชุฎุชู„ูุŒ ู…ุด ู‡ูŠูƒุŒ ู…ุด ู‡ุชุฎุชู„ูุŒ ุฎู„ุงุตุŒ ู‡ุชุจู‚ู‰ ู†ู‚ู‰ ุฃู‚ู„
1338
+
1339
+ 387
1340
+ 00:32:58,350 --> 00:33:05,950
1341
+ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ ุซู„ุงุซุฉุŒ ูู‡ุฐู‡ ุงู„ุฃุฎูŠุฑุฉ symmetricุŒ ุงู„ุธุงู‡ุฑ ุจุณ
1342
+
1343
+ 388
1344
+ 00:33:05,950 --> 00:33:13,270
1345
+ ุชุฑุชูŠุจุงุช ุงู„ุฎุทูˆุทุŒ ูŠู…ูƒู† ุจุฏู‡ุง ุชุบูŠูŠุฑ ู†ูˆุน ุงู„ุฎุทุŒ ุทูŠุจ ุจุนุฏ ู‡ูŠูƒ
1346
+
1347
+ 389
1348
+ 00:33:13,270 --> 00:33:18,340
1349
+
1350
+ 445
1351
+ 00:38:20,530 --> 00:38:31,070
1352
+ ู†ู…ุณูƒู‡ู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุนุดุงู† ู†ูุญุต ู‡ุฐุง ุงู„ูƒู„ุงู…ุŒ ู‡ุงูŠ
1353
+
1354
+ 446
1355
+ 00:38:31,070 --> 00:38:36,440
1356
+ ูˆุงุญุฏ A ูˆBุŒ ุตุญุŸ ู‡ูŠ A ูˆ BุŒ ู…ุนู†ุงุชู‡ ุจุฏู†ุง ู†ู…ุณูƒ ุฃูŠ ุฒูˆุฌ ุซุงู†ูŠ
1357
+
1358
+ 447
1359
+ 00:38:36,440 --> 00:38:45,260
1360
+ ุจุนุฏ ุงู„ู€ B ู‡ูŠ ู‡ู„ ูˆุงุญุฏุŒ ู„ุฃู†ู‡ ุตุงุฑุช ูƒุฃู†ู‡ F A BุŒ ู‡ูŠ B ูˆ C
1361
+
1362
+ 448
1363
+ 00:38:45,260 --> 00:38:53,060
1364
+ ู‡ู„ ูŠูˆุฌุฏ ูˆุงุญุฏ ูˆุงุซู†ูŠู†ุŸ ู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ุชู…ุงู…ุŒ ุฎู„ุตู†ุงู‡ุงุŒ ุทูŠุจ ููŠ
1365
+
1366
+ 449
1367
+ 00:38:53,060 --> 00:38:56,900
1368
+ ุญุฏ ุซุงู†ูŠ ุจุฑุถู‡ ุจุจุฏุฃ ุจุงู„ู€ BุŸ ู„ุฃุŒ ุฎู„ุตู†ุง ู…ู† ู‡ุฐุง ุงู„ุนู†ุตุฑ
1369
+
1370
+ 450
1371
+ 00:38:56,900 --> 00:39:05,220
1372
+ ู†ู…ุณูƒ ุงู„ุซุงู†ูŠ A ูˆ BุŒ ู‡ูŠ B ู…ุชูู‚ุฉ ู…ุน ู‡ู†ุงุŸ ู„ุฃุŒ ู‡ุฐุง ุฎู„ุงุต ู…ุน
1373
+
1374
+ 451
1375
+ 00:39:05,220 --> 00:39:10,640
1376
+ ู‡ู†ุง ุงู‡ุŒ ู…ุงุดูŠุฉุŒ ูุฅุฐุง ู‡ุงูŠ ุจ ูˆ ุณุŒ ุจ ู…ุชุดุงุจู‡ุฉ ูˆุงุญุฏ ูˆุงุซู†ูŠู†
1377
+
1378
+ 452
1379
+ 00:39:10,640 --> 00:39:15,740
1380
+ ู…ูˆุฌูˆุฏุฉุŸ ุงู‡ ู…ูˆุฌูˆุฏุฉุŒ ู‡ูŠ ู…ูˆุฌูˆุฏุฉุŒ ู‡ูŠ ุทูŠุจ ุฎู„ุตู†ุงู‡ุงุŒ ุงุซู†ูŠู†
1381
+
1382
+ 453
1383
+ 00:39:15,740 --> 00:39:20,640
1384
+ ุจุงุฏูŠุฉ ู…ุนุงุดูŠุŸ ุงู‡ุŒ ุจุงุฏูŠุฉ ู…ุนุงุดูŠ ุซุงู†ูŠุŒ ู…ุนู†ุงุชู‡ ุจุงู„ู€ ุฏูŠ
1385
+
1386
+ 454
1387
+ 00:39:20,640 --> 00:39:29,120
1388
+ ูˆุงุญุฏ ูˆุงุญุฏุŒ ู…ูˆุฌูˆุฏุฉุŒ ุงูŠู‡ ุณูŠุŸ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒุŒ ุฎู„ุตู†ุง ู‡ุง๏ฟฝ๏ฟฝ ุงู„ู€
1389
+
1390
+ 455
1391
+ 00:39:29,120 --> 00:39:34,120
1392
+ answer ู‡ุฐุงุŒ ุงุซู†ูŠู† ุฎู„ุตุชุŒ ุทูŠุจ ู†ู…ุณูƒ ุงู„ู„ูŠ ูˆุฑุงู‡ุงุŒ ุจุงุฏูŠุฉ
1393
+
1394
+ 456
1395
+ 00:39:34,120 --> 00:39:40,120
1396
+ ุจู€ A ุจู€ BุŒ ุฃูŠ ุนู†ุตุฑ ุจูŠุจุฏุฃ ุจุงุซู†ูŠู†ุŒ ู‡ู†ุง ุจูŠุจุฏูˆุด ุจุงุซู†ูŠู†ุŒ
1397
+
1398
+ 457
1399
+ 00:39:40,120 --> 00:39:43,360
1400
+ ู‡ูŠู‡ุงุŒ ู…ุนู†ุงุชู‡ ุจูŠุจุฏุฃ ุจุงุซู†ูŠู† ูˆูˆุงุญุฏุŒ ู‡ูŠ ู†ูุณู‡ุง ู…ูˆุฌูˆุฏุฉุŒ
1401
+
1402
+ 458
1403
+ 00:39:43,360 --> 00:39:46,600
1404
+ ู‡ูŠ ุงุซู†ูŠู† ูˆูˆุงุญุฏุŒ ุทูŠุจุŒ ู‡ู†ุง ู…ุง ููŠุด ุงุซู†ูŠู†ุŒ ุฎู„ุตู†ุงุŒ
1405
+
1406
+ 459
1407
+ 00:39:46,600 --> 00:39:51,020
1408
+ ุงู„ุซุงู„ุซุฉุŒ ุงู„ู„ูŠ ุฌุงุจ ู„ู„ุงุฎูŠุฑุฉุŒ A ูˆ BุŒ ู…ูŠู† ุจูŠุจุฏุฃ ุจูˆุงุญุฏุŒ
1409
+
1410
+ 460
1411
+ 00:39:51,020 --> 00:39:58,260
1412
+ ู‡ูŠ ูˆุงุญุฏุŒ ูุฅุฐุง ู‡ูŠ B ูˆ CุŒ ูุฅุฐุง ุจุฏูŠ 2 ูˆ 1ุŒ ู‡ูŠ ู†ูุณู‡ุง 2 ูˆ 1
1413
+
1414
+ 461
1415
+ 00:39:58,260 --> 00:40:07,020
1416
+ ุทูŠุจ ุฎู„ุตู†ุงู‡ุงุŒ ู‡ูŠ B ูˆ CุŒ 2 ูˆ 2ุŒ ู‡ูŠ 2 ูˆ 2 ู…ูˆุฌูˆุฏุฉุŒ ุถุงู„ุฉ
1417
+
1418
+ 462
1419
+ 00:40:07,020 --> 00:40:10,700
1420
+ ุงู„ุฃุฎูŠุฑุฉ ู‡ูŠ
1421
+
1422
+ 463
1423
+ 00:40:10,700 --> 00:40:16,410
1424
+ ู…ุน ู†ูุณู‡ุงุŒ ู‡ูŠ transitive ู…ุน ู†ูุณู‡ุงุŒ ู…ู† 3 ู„ู€ 3ุŒ ูˆู…ู† ุซู„ุงุซุฉ
1425
+
1426
+ 464
1427
+ 00:40:16,410 --> 00:40:20,690
1428
+ ู„ุชู„ุงุชุฉุŒ ูุญุตู„ุช ุชู„ุงุชุฉ ูˆุชู„ุงุชุฉุŒ ูุฅุฐุง transitiveุŒ ูุฅุฐุง
1429
+
1430
+ 465
1431
+ 00:40:20,690 --> 00:40:25,190
1432
+ transitive ูƒูŠูุŸ
1433
+
1434
+ 466
1435
+ 00:40:25,190 --> 00:40:30,830
1436
+ ู„ุฃ
1437
+
1438
+ 467
1439
+ 00:40:30,830 --> 00:40:35,730
1440
+ ููŠู‡ุง .. ููŠู‡ุง .. ููŠู‡ุง ุทุฑู‚ุŒ ู‡ู„ ูˆุฌุฏุช ูˆุงุญุฏ ุซู„ุงุซุฉ ุซู„ุงุซุฉ
1441
+
1442
+ 468
1443
+ 00:40:35,730 --> 00:40:43,710
1444
+ ุงุซู†ูŠู† ุงุซู†ูŠู†ุŒ ูˆุงุญุฏ ูˆุงุญุฏุŒ ุงุซู†ูŠู† ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ุงู†ุช ูŠูƒููŠ ุงู†ูƒ
1445
+
1446
+ 469
1447
+ 00:40:43,710 --> 00:40:48,170
1448
+ ุงู†ุชูŽ ุชุชุฏูˆุฑ ุนู†ู‡ุงุŒ ููŠู‡ู„ูˆ ุงู†ุชูุชุŒ ุฎู„ุงุต ุฎู„ุตุŒ ุฅุฐุง ูƒุงู† ูŠุณ
1449
+
1450
+ 470
1451
+ 00:40:48,170 --> 00:40:54,930
1452
+ ู‡ุชุบู„ุจูƒุŒ ู‡ุงูŠ ูˆุงุญุฏ ุงุซู†ูŠู† ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ูˆุงุญุฏ ูˆุงุซู†ูŠู†ุŒ ูุฅุฐุง
1453
+
1454
+ 471
1455
+ 00:40:54,930 --> 00:41:01,950
1456
+ ู†ู‡ุŒ ุฎู„ุตู†ุงุŒ ุงู„ุฃุฎูŠุฑุฉุŒ ุงุซู†ูŠู† ูˆุงุญุฏุŒ ุงุซู†ูŠู† ูˆุซู„ุงุซุฉ ู…ูˆุฌูˆุฏุฉ
1457
+
1458
+ 472
1459
+ 00:41:01,950 --> 00:41:10,280
1460
+ ุงู„ุงุฑุจุนุฉุŒ ุฎู„ุงุตุŒ ุฅุฐุง ุฃู†ุชู… ุนู…ู„ุชูˆุง check ุนู„ู‰ ู‡ูŠ ุงุซู†ูŠู† ูˆ
1461
+
1462
+ 473
1463
+ 00:41:10,280 --> 00:41:16,200
1464
+ ูˆุงุญุฏุŒ ุงุซู†ูŠู† ูˆูˆุงุญุฏ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ุฎู„ุงุต ู…ุนู†ุงุชู‡ ุจูƒููŠุŒ ู…ุง ููŠุด
1465
+
1466
+ 474
1467
+ 00:41:16,200 --> 00:41:21,400
1468
+ ุฏุงุนูŠ ุฃู†ุง ุฃูุญุต ุงู„ุจุงู‚ูŠุŒ ูุฅุฐุง ู†ู‡ุŒ ุทูŠุจ ุทูŠุจุŒ transitive ููŠ
1469
+
1470
+ 475
1471
+ 00:41:21,400 --> 00:41:24,840
1472
+ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุงุŒ ุทุจุนุงู‹ ู‡ุชุบู„ุจูƒู… ุดูˆูŠุฉ ุฏูŠุŒ ูุฎู„ุงุต
1473
+
1474
+ 476
1475
+ 00:41:24,840 --> 00:41:28,220
1476
+ ุจู†ุฎู„ูŠูƒู… ู‡ูŠ ุชุญู„ูˆู‡ุง ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ูˆุง ููŠ ุงู„ุฏุงุฑ ู‡ูŠูƒ
1477
+
1478
+ 477
1479
+ 00:41:28,220 --> 00:41:32,060
1480
+ ุจุฑุงุญุชูƒู…ุŒ ูƒูŠูุŸ
1481
+
1482
+ 478
1483
+ 00:41:32,060 --> 00:41:37,180
1484
+ ุงู„ุฃูˆู„ู‰ ุฅูŠุด ููŠู‡ุงุŸ ูˆุงุญุฏ ูˆุงุซู†ูŠู† ู…ูˆุฌูˆุฏุฉุŒ ูˆุงุญุฏ ุงุซู†ูŠู†
1485
+
1486
+ 479
1487
+ 00:41:37,180 --> 00:41:43,540
1488
+ ู…ูˆุฌูˆุฏุฉุŒ ูˆุงุซู†ูŠู† ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉุŒ ูˆ ุฃุฑุจุนุฉ .. ุซู„ุงุซุฉ ูˆูˆุงุญุฏ
1489
+
1490
+ 480
1491
+ 00:41:43,540 --> 00:41:47,940
1492
+ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ู‡ูŠู‡ู…
1493
+
1494
+ 481
1495
+ 00:41:47,940 --> 00:41:51,300
1496
+ ู‡ูŠู‡ู…ุŒ ู‡ูŠู‡ู…ุŒ ู…ู† ุบูŠุฑ ู…ุง ุชุบู„ูŠ ุจุญุงู„ูƒุŒ ู‡ูŠู‡ุง ุฃุฑุจุนุฉ .. ุซู„ุงุซุฉ
1497
+
1498
+ 482
1499
+ 00:41:51,300 --> 00:41:57,160
1500
+ ุฃุฑุจุนุฉ .. ุซู„ุงุซุฉ ูˆุงุญุฏ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ูู€ is a noุŒ ุงู„ุซุงู†ูŠุฉ ..
1501
+
1502
+ 483
1503
+ 00:41:57,160 --> 00:42:02,220
1504
+ ุจุงู„ุธุจุทุŒ ูŠูƒููŠ ูˆุงุญุฏุฉ .. ูŠูƒููŠ ูˆุงุญุฏุฉุŒ ุงู„ุซุงู†ูŠุฉ .. ุงู„ุซุงู†ูŠุฉ
1505
+
1506
+ 484
1507
+ 00:42:02,220 --> 00:42:10,530
1508
+ .. ุซุงู†ูŠุฉ yes ู„ุง ูˆุงู„ู„ู‡ noุŒ ุงุซู†ูŠู† ูˆุงุซู†ูŠู†ุŒ ุงุซู†ูŠู† ูˆ
1509
+
1510
+ 485
1511
+ 00:42:10,530 --> 00:42:13,070
1512
+ ุงุซู†ูŠู†ุŒ ุฃู†ุชู… ุฃุฎุฐุชู…ูˆู†ุง ู…ุนูƒู… ููŠ ุงู„ู€ yesุŒ ุงุซู†ูŠู† ูˆุงุซู†ูŠู†
1513
+
1514
+ 486
1515
+ 00:42:13,070 --> 00:42:26,110
1516
+ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ู‡ูŠ ู‡ุฐู‡ A ูˆ BุŒ ุจูŠ ูˆ ุณูŠุŒ noุŒ ุทูŠุจ ุงู„ุซุงู„ุซุฉ
1517
+
1518
+ 487
1519
+ 00:42:38,030 --> 00:42:45,370
1520
+ ูˆุงุญุฏ ูˆุฃุฑุจุนุฉ ู…ุด ู…ูˆุฌูˆุฏุฉุŒ ุฃุฑุจุนุฉ
1521
+
1522
+ 488
1523
+ 00:42:45,370 --> 00:42:49,570
1524
+ ูˆุงุญุฏุŒ ู‡ุฐูŠูƒ ุงู‡
1525
+
1526
+ 489
1527
+ 00:42:49,570 --> 00:42:52,310
1528
+ ู†ูุณ ุงู„ุณุงุนุฉุŒ ูˆุงุญุฏ ุฃุฑุจุนุฉุŒ ู…ุธุจูˆุทุŒ ุทูŠุจ ุฃู†ุช ุจุชุงุฎุฏ ู‡ู†ุง ู…ูŠู†
1529
+
1530
+ 490
1531
+ 00:42:52,310 --> 00:42:57,730
1532
+ ุถู„ุช ู‡ุฐู‡ุŒ ู†ู…ุญุงู‡ู…ุŒ ุจู†ุงุณู‡ู… ุฎุงุฑุฌ ุญุงู„ู†ุงุŒ ู‡ุฏ
1533
+
1534
+ 491
1535
+ 00:42:57,730 --> 00:43:02,690
1536
+ ุดูƒู„ู‡ุง
1537
+
1538
+ 492
1539
+ 00:43:02,690 --> 00:43:04,370
1540
+ ุญุชู‰ ุงู„ุขู† yesุŒ ูƒู„ู‡ุง
1541
+
1542
+ 493
1543
+ 00:43:07,870 --> 00:43:12,470
1544
+ ูˆุงุญุฏ ูˆุงุซู†ูŠู† ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ูˆุฃุฑุจุนุฉ ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ
1545
+
1546
+ 494
1547
+ 00:43:12,470 --> 00:43:15,470
1548
+ ูˆูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ุงุซู†ูŠู† .. ุฃุฑุจุนุฉ ูˆุงุซู†ูŠู† ู…ุด
1549
+
1550
+ 495
1551
+ 00:43:15,470 --> 00:43:17,470
1552
+ ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุด ุฃุฑุจุนุฉ ูˆุงุซู†ูŠู† .. ู„ูŠุด
1553
+
1554
+ 496
1555
+ 00:43:17,470 --> 00:43:19,710
1556
+ ุจุฏูƒ ูŠู‚ูˆู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ ..
1557
+
1558
+ 497
1559
+ 00:43:19,710 --> 00:43:20,710
1560
+ ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„
1561
+
1562
+ 498
1563
+ 00:43:20,710 --> 00:43:21,030
1564
+ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ
1565
+
1566
+ 499
1567
+ 00:43:21,030 --> 00:43:21,970
1568
+ ุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ
1569
+
1570
+ 500
1571
+ 00:43:21,970 --> 00:43:25,750
1572
+ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ ..
1573
+
1574
+ 501
1575
+ 00:43:25,750 --> 00:43:32,230
1576
+ ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆุซู„ุงุซุฉ
1577
+
1578
+ 502
1579
+ 00:43:32,230 --> 00:43:32,910
1580
+ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ
1581
+
1582
+ 503
1583
+ 00:43:36,790 --> 00:43:41,150
1584
+ ุฃุฑุจุนุฉ ุฃูˆ ุงุซู†ูŠู†ุŒ ู…ุง ู„ู‚ุงุดุŒ ุจุฏู‡ key ุฃุฑุจุนุฉ ุฃูˆ ุงุซู†ูŠู†ุŒ ู…ุธุจูˆุท
1585
+
1586
+ 504
1587
+ 00:43:41,150 --> 00:43:48,190
1588
+ ู…ุธุจูˆุทุฉ
1589
+
1590
+ 505
1591
+ 00:43:48,190 --> 00:43:52,690
1592
+ ู‡ุงูŠ ุฃุฑุจุนุฉ ุฃูˆ ุงุซู†ูŠู†ุŒ ุงู„ุซุงู„ุซุฉ
1593
+
1594
+ 506
1595
+ 00:43:52,690 --> 00:43:58,750
1596
+ ุงู„ุซุงู„ุซุฉ ู…ุด ู‡ุชุตุจุท ู…ุน ุฅุดูŠุŒ ุงู„ุซุงู„ุซุฉ ู„ุญุงู„ู‡ุงุŒ ุงู„ุซู„ุงุซุฉ
1597
+
1598
+ 507
1599
+ 00:43:58,750 --> 00:44:12,190
1600
+ ู„ุญุงู„ู‡ุงุŒ ูˆุงู„ู„ู‡
1601
+
1602
+ 508
1603
+ 00:44:12,190 --> 00:44:15,770
1604
+ ู…ุด ุบู„ุทุŒ ุฌุฑุจู‡ุง ูˆู‡ุชุดูˆูู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉุŒ ุฌุฑุจู‡ุงุŒ ุงุนู…ู„ู‡ุง
1605
+
1606
+ 509
1607
+ 00:44:15,770 --> 00:44:19,790
1608
+ ุงุนู…ู„ู‡ุงุŒ ุตูˆุฑ ุจุณ ุงุนู…ู„ู‡ุงุŒ ุตูˆุฑ ุนู„ู‰ ุญุงู„ุฉ ูƒุจูŠุฑุฉ ุฒูŠ ู‡ุฐู‡
1609
+
1610
+ 510
1611
+ 00:44:19,790 --> 00:44:24,800
1612
+ ู…ุซู„ุงู‹ุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุฌุฑุจู‡ุง ุนู„ู‰ ุฎู…ุณุฉุŒ ุชุฌุฑุจู‡ุง ุนู„ู‰ ุฎู…ุณุฉุŒ ุทุจุนุงู‹
1613
+
1614
+ 511
1615
+ 00:44:24,800 --> 00:44:29,780
1616
+ ุงู„ุจุงู‚ูŠ ุจุงู„ู†ุณุจุฉ ู„ูŠ ู‡ูŠูƒูˆู†ุŒ ุฃุนุชู‚ุฏุŒ ูƒู„ู‡ yesุŒ ุชู…ุงู…ุŒ ุทูŠุจ
1617
+
1618
+ 512
1619
+ 00:44:29,780 --> 00:44:33,540
1620
+ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุจู†ูƒู…ู„ุŒ ู†ุจู†ูŠ ุนู„ู‰ ุงู„ู€
1621
+
1622
+ 513
1623
+ 00:44:33,540 --> 00:44:37,160
1624
+ transitiveุŒ ู‡ู†ุจู†ูŠ ุนู„ู‰ ุงู„ู€ transitiveุŒ ููŠ ุฅูŠุดุŸ ู…ุชุฐูƒุฑูŠู†
1625
+
1626
+ 514
1627
+ 00:44:37,160 --> 00:44:41,260
1628
+ ุงู„ู€ compositionุŸ ุงู„ู€ compositionุŒ ูู‡ู†ุนู…ู„ ุจุฑุถู‡
1629
+
1630
+ 515
1631
+ 00:44:41,260 --> 00:44:46,160
1632
+ composed .. composed ู„ู€ ุงู„ู€ relationsุŒ ูู†ุญุงูˆู„ ู†ุดูˆู
1633
+
1634
+ 516
1635
+ 00:44:46,160 --> 00:44:49,280
1636
+ ู†ู‡ุงูŠุฉ ุงู„ู€ relation ู…ุน ุจุฏุงูŠุฉ relation ุซุงู†ูŠุฉุŒ ุฅูŠุด ุงู„ู€
1637
+
1638
+ 517
1639
+ 00:44:49,280 --> 00:44:52,060
1640
+ total ุจูŠุทู„ุน .. ุฅูŠุด ุงู„ู€ total ุจูŠุทู„ุนุŒ ูู‡ูŠ ุจุฑุถู‡ ู†ูุณ
1641
+
1642
+ 518
1643
+ 00:44:52,060 --> 00:44:54,840
1644
+ ุนู…ู„ูŠุฉ ุงู„ู€ transit .. ุงู„ู€ transitiveุŒ ูƒุฃู† ู‡ูˆ ู‡ู†ุง ุจูŠู‚ูˆู„
1645
+
1646
+ 519
1647
+ 00:44:54,840 --> 00:44:57,440
1648
+ ูƒุดุŒ ุฃูุญุต ุงู„ู€ transitiveุŒ ุจูŠู‚ูˆู„ ู„ูƒ ุฌูŠุจ ู„ูŠ ุงู„ู€ transitive
1649
+
1650
+ 520
1651
+ 00:44:57,440 --> 00:45:00,280
1652
+ ุชู…ุงู…ุŸ ู†ุงุฎุฏู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉุŒ ุฃุนุทูŠูƒู… ุฃู„ู ุนุงููŠุฉ
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/wEwPxELdkGI_raw.srt ADDED
@@ -0,0 +1,2080 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,330 --> 00:00:07,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
4
+
5
+ 2
6
+ 00:00:07,870 --> 00:00:10,530
7
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ูŠุง ุณูŠุฏู†ุง ู…ุญู…ุฏ ุงู†ูƒู…ู„ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:10,530 --> 00:00:13,850
11
+ ุชุนุงู„ู‰ ููŠ ุฌุฒุฆูŠุฉ ุงู„ relations ุงู„ู„ูŠ ุจุฏุฃู†ุง ููŠู‡ุง ุงู„ู…ุฑุฉ
12
+
13
+ 4
14
+ 00:00:13,850 --> 00:00:17,710
15
+ ุงู„ุณุงุจู‚ุฉ ูˆู‚ูˆู„ู†ุง ุงู†ู‡ ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู…ุฉ relation ู‡ูŠ
16
+
17
+ 5
18
+ 00:00:17,710 --> 00:00:21,370
19
+ ุญุงุฌุฉ ุนู…ูˆู…ูŠุฉ ุฃุดู…ู„ ุญุชู‰ ู…ู† function ุนู„ู‰ ุงุนุชุจุงุฑ ุงู†ู‡ ูƒู„
20
+
21
+ 6
22
+ 00:00:21,370 --> 00:00:24,010
23
+ ุญูŠุงุชู†ุง ู‡ูŠ relations ุญูŠุงุชู†ุง ูƒู„ู‡ุง ู‚ุงุฆู…ุฉ ุนู„ู‰ ุงู„
24
+
25
+ 7
26
+ 00:00:24,010 --> 00:00:27,390
27
+ relations ูˆูŠู…ูƒู† ู…ุง ู‚ุจู„ ุงู„ู…ุญุงุถุฑุฉ ูƒู†ุง ุจู†ุชูƒู„ู… ุงู† ููŠ
28
+
29
+ 8
30
+ 00:00:27,390 --> 00:00:30,290
31
+ ู…ุฌู…ูˆุนุฉ relations ุฃุญูŠุงู†ุง ุจุนุถู‡ุง ุจูŠุถุบ ุนู„ู‰ ุจุนุถู‡ุง ูููŠ
32
+
33
+ 9
34
+ 00:00:30,290 --> 00:00:34,760
35
+ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู…ุฉ relationุฃุนู„ู‰ ุญุชู‰ ู…ู† ูƒู„ู…ุฉ function
36
+
37
+ 10
38
+ 00:00:34,760 --> 00:00:38,500
39
+ ูˆุนุดุงู† ู‡ูŠูƒ ู„ุงุฒู… ู†ุฏุฑุณู‡ุง ู…ุจุฏุฆูŠุง ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ binary
40
+
41
+ 11
42
+ 00:00:38,500 --> 00:00:42,480
43
+ relation ุงู„ู„ูŠ ู‡ูˆ ู‡ู„ ุงู„ุนู†ุตุฑ ู‡ุฐุง ูŠู†ุชู…ูŠ ู„ู„ relation
44
+
45
+ 12
46
+ 00:00:42,480 --> 00:00:44,860
47
+ ุงูˆ ู„ุง ูŠู†ุชู…ูŠ ู„ู„ relation .. ู„ุง ุงู„ relation ูˆุงุฎุฏู†ุง
48
+
49
+ 13
50
+ 00:00:44,860 --> 00:00:49,260
51
+ ู…ุซุงู„ ูŠู…ูƒู† ุฃุฎุฏู†ุง ุงู„ุฃุตุบุฑ ู…ู†ู‡ ูƒ relation ูˆู‚ู„ู†ุง ููŠ ุงู„
52
+
53
+ 14
54
+ 00:00:49,260 --> 00:00:51,880
55
+ natural number ู…ู…ูƒู† ู†ุนุฑูู‡ ุจุทุฑูŠู‚ุฉ ุฃูˆ ุจุงุฎุฑู‡ ู…ุฏุงู…
56
+
57
+ 15
58
+ 00:00:51,880 --> 00:00:55,300
59
+ natural number ู…ุนู†ุงุชู‡ ุงู†ุง ู…ู…ูƒู† ุงุนุฑูู‡ุง ู…ุด ู…ู† set to
60
+
61
+ 16
62
+ 00:00:55,300 --> 00:00:58,640
63
+ other set ู…ู…ูƒู† ุนู„ู‰ ู†ูุณ ุงู„ set ู‡ูŠ .. ู‡ูŠ ุฅุฐุง ุจุชุนู…ู„
64
+
65
+ 17
66
+ 00:00:59,360 --> 00:01:04,100
67
+ ุฏุงุฎู„ ู†ูุณ ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ูู‡ู†ุง ุฏุฎู„ู†ุง ููŠ ุญุงุฌุฉ ุชุงู†ูŠุฉ
68
+
69
+ 18
70
+ 00:01:04,100 --> 00:01:06,560
71
+ ู…ู…ูƒู† ุชุงุฎุฏู‡ุง ู„ุงุญู‚ุง ุญุงุฌุฉ ุงุณู…ู‡ุง ู‚ูˆุงุนุฏ ุจูŠุงู†ุงุช ูุฅุฐุง ุงู„
72
+
73
+ 19
74
+ 00:01:06,560 --> 00:01:08,800
75
+ relations ุจูŠู† ุงู„ุนู†ุงุตุฑ ุชุงุนุฉ ู‚ูˆุงุนุฏ ุงู„ุจูŠุงู†ุงุช ุจุชูƒูˆู†
76
+
77
+ 20
78
+ 00:01:08,800 --> 00:01:12,880
79
+ ู„ู†ูุณ ุงู„ set ูุฅุฐุง ุงู„ natural number ุฎู„ุงุต ู…ุนู†ุงุชู‡ ู‡ูŠ
80
+
81
+ 21
82
+ 00:01:12,880 --> 00:01:17,000
83
+ set A ู…ู†ู‡ุง ู„ู†ูุณู‡ุง ู‡ูŠ ุงู„ domain ูˆู‡ูŠ ุงู„ codomain ููŠ
84
+
85
+ 22
86
+ 00:01:17,000 --> 00:01:20,960
87
+ ู†ูุณ ุงู„ูˆู‚ุช ูุจุตูŠุฑ ููŠ ุนู†ุฏูŠ identity relation ููŠ
88
+
89
+ 23
90
+ 00:01:20,960 --> 00:01:24,860
91
+ ุงู„ุญุงู„ุฉ ุฏูŠ ุฅุฐุง ูŠูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆู†ูุณู‡ุจู†ุณู…ูŠู‡ุง
92
+
93
+ 24
94
+ 00:01:24,860 --> 00:01:27,480
95
+ identity ูุงุญู†ุง ู‡ู†ุง ู‚ุงุนุฏูŠู† ุจู†ุฑุงุฌุน ุงุฎุฑ ุญุงุฌุฉ ุชุงุฎุฏู†ุงู‡ุง
96
+
97
+ 25
98
+ 00:01:27,480 --> 00:01:32,020
99
+ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุดูู†ุง ูƒูŠู ุจู†ู…ุซู„ู‡ุง ู…ุซู„ู†ุงู‡ุง ุจุดูƒู„ ุฌุฏูˆู„
100
+
101
+ 26
102
+ 00:01:32,020 --> 00:01:37,300
103
+ ูˆู…ุซู„ู†ุงู‡ุง ุจุดูƒู„ ุงู„ bipartate ุนู„ู‰ ุงุนุชุจุงุฑ ุงู† ู‡ูŠ ุชู…ุซู„
104
+
105
+ 27
106
+ 00:01:37,300 --> 00:01:42,140
107
+ ุฒูŠ ุงู„ functionุฒูŠ ุฌูˆุฌู„ูŠุฉ ุงู„ function ูุนู…ุซู„ู†ุงู‡ุง ุจู‡ุฐุง
108
+
109
+ 28
110
+ 00:01:42,140 --> 00:01:45,660
111
+ ุงู„ุดูƒู„ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนู†ุงุตุฑ ุงู„ุฃุตุบุฑ ู…ู† ูู‡ุชู„ุงู‚ูŠ ุฏุงูŠู…ุง ุฃู†
112
+
113
+ 29
114
+ 00:01:45,660 --> 00:01:49,800
115
+ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ู‡ูˆ ุฃุตุบุฑ ู…ู† ุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ุนู†ุตุฑ ุฃูˆู„
116
+
117
+ 30
118
+ 00:01:49,800 --> 00:01:53,080
119
+ ุฃุตุบุฑ ู…ู† ุงู„ุชุงู†ูŠ ุนู†ุตุฑู‡ุง ูุถู…ู† ุงู„ function ุตุญูŠุญุฉ ุถู…ู†
120
+
121
+ 31
122
+ 00:01:53,080 --> 00:01:57,680
123
+ ุงู„ function ุตุญูŠุญุฉ ุขุฎุฑ ุดุบู„ุฉ ูƒู†ุง ุญูƒูŠู†ุง ููŠู‡ุง ุจุงู„ู†ุณุจุฉ
124
+
125
+ 32
126
+ 00:01:57,680 --> 00:02:03,170
127
+ ู„ู„ set Aุฃูƒู… relation ู…ู…ูƒู† ุฃุนู…ู„ ู…ู†ู‡ุงุŸ ุฃูƒู… relation
128
+
129
+ 33
130
+ 00:02:03,170 --> 00:02:05,910
131
+ ู…ู…ูƒู† ู†ุนู…ู„ ู…ู†ู‡ุงุŸ ุทูŠุจ ุนุดุงู† ู†ุนู…ู„ ุฃูƒู… relation ุจุฏู†ุง
132
+
133
+ 34
134
+ 00:02:05,910 --> 00:02:09,470
135
+ ู†ุนู…ู„ ู…ู†ู‡ุงุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ุง ุจูŠู† ุนู†ุตุฑ ู…ู† ุนู†ุตุฑ ู„ุนู†ุตุฑ
136
+
137
+ 35
138
+ 00:02:09,470 --> 00:02:12,570
139
+ ูู…ู† ุนู†ุตุฑ ู„ุนู†ุตุฑุŒ ู‡ุฐู‡ ูƒุงู†ุช ูŠุนุจุฑ ุนู†ู‡ุง ุจุงู„ Cartesian
140
+
141
+ 36
142
+ 00:02:12,570 --> 00:02:19,530
143
+ product ู…ู† A to A ูˆุนุฑูู†ุง ุฃู† ุงู„ cardinality ู…ู† A to
144
+
145
+ 37
146
+ 00:02:19,530 --> 00:02:26,220
147
+ A ู‡ูŠ ุนุจุงุฑุฉ ุนู† .. ุจุชุณุงูˆูŠ ุงู„ cardinality ู„ AููŠ ุงู„
148
+
149
+ 38
150
+ 00:02:26,220 --> 00:02:29,940
151
+ cardinality ู„ุฅูŠู‡ุŸ ูŠุนู†ูŠ ู‡ุชุณุงูˆูŠ ุงูŠู‡ุŸ ุชุฑุจูŠุน ุฃูˆ ุฅุฐุง
152
+
153
+ 39
154
+ 00:02:29,940 --> 00:02:34,880
155
+ ูƒุงู† ุนุฏุฏู‡ู… .. ุฃุฌุฏุด ู‡ู… ู…ุงุจุนุทูŠู†ูŠ ุนุฏุฏู‡ู… ู‡ู†ุง N ูุฅุฐุง ู‡ูŠ
156
+
157
+ 40
158
+ 00:02:34,880 --> 00:02:43,540
159
+ N ุชุฑุจูŠุน .. N ุชุฑุจูŠุน ูŠุนู†ูŠ ูƒุฃู†ู‡ ุตุงุฑ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑ
160
+
161
+ 41
162
+ 00:02:44,460 --> 00:02:48,640
163
+ ุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ ุนุฏุฏู‡ู… ู…ู† ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู„ุนู†ุฏ ุงู†
164
+
165
+ 42
166
+ 00:02:48,640 --> 00:02:54,700
167
+ ุชุฑุจูŠุน ู„ุนู†ุฏ ุงู† ุชุฑุจูŠุน ูƒูˆูŠุณ ุดูƒู„ ุงู„ relation ุดูƒู„ ุงู„
168
+
169
+ 43
170
+ 00:02:54,700 --> 00:02:59,400
171
+ relation ู‡ูŠ ุงู„ combination ุจูŠู† ุงู„ุนู†ุงุตุฑ ู‡ุฐู‡ ูุฅุฐุง
172
+
173
+ 44
174
+ 00:02:59,400 --> 00:03:04,340
175
+ ู…ู…ูƒู† ุงู‚ูˆู„ ุงู†ู‡ ุงู‡ ูˆุงู„ู„ู‡ ููŠ relation ุจุณ ู‡ูŠ ููŠ ูˆู„ุง
176
+
177
+ 45
178
+ 00:03:04,340 --> 00:03:07,720
179
+ ูˆุงุญุฏ ูŠู†ุทุจู‚ ุชู†ุทุจู‚ ุนู„ูŠู‡ ุงู„ relation ู‡ูŠ relation ุทูŠุจ
180
+
181
+ 46
182
+ 00:03:07,720 --> 00:03:14,490
183
+ ุงูˆ ุงู†ู‡ ููŠ relation ุชู…ุซู„ ุงู„ุฃู†ุตุฑ ุงู„ุฃูˆู„ ูู‚ุทููŠ
184
+
185
+ 47
186
+ 00:03:14,490 --> 00:03:19,190
187
+ relation ุชู…ุซู„ ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ูู‚ุท ุทุจ ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ and
188
+
189
+ 48
190
+ 00:03:19,190 --> 00:03:21,870
191
+ so on ุทุจ ู†ูŠุฌูŠ ู†ุชุทู„ุน ุนู„ู‰ ุงู„ููƒุฑุฉ ู…ุนู†ุงุชู‡ ุฃู†ุง ู‚ุงุนุฏ
192
+
193
+ 49
194
+ 00:03:21,870 --> 00:03:27,050
195
+ ุจุดุชุบู„ ูƒุฅู†ูŠ ุจู‚ูˆู„ ุฌุฏุด ุนุฏุฏ ุชู…ุซูŠู„ ุงู„ุจูŠุงู†ุงุช ู…ู† string
196
+
197
+ 50
198
+ 00:03:27,050 --> 00:03:33,870
199
+ ุทูˆู„ู‡ ุงู†ุชุฑ ุจูŠู‡ ุฌุฏุด ุชู…ุซูŠู„ู‡ ูู‡ุฐู‡ ุงุชู†ูŠู† ูŠุง ู…ูˆุฌูˆุฏ ูŠุง ู…ุด
200
+
201
+ 51
202
+ 00:03:33,870 --> 00:03:37,680
203
+ ู…ูˆุฌูˆุฏุงู„ุงู†ุตุฑ ุงู„ุฃูˆู„ ููŠ ุงู„ relation ุงู„ุงู†ุตุฑ ุงู„ุชุงู†ูŠ ูŠุง
204
+
205
+ 52
206
+ 00:03:37,680 --> 00:03:40,780
207
+ ู…ูˆุฌูˆุฏ ูŠุง ู…ุด ู…ูˆุฌูˆุฏ ูŠุนู†ูŠ ุจุฑุถู‡ ุงุชู†ูŠู† ููŠ ุงุชู†ูŠู† ุฒูŠ ู…ุง
208
+
209
+ 53
210
+ 00:03:40,780 --> 00:03:43,900
211
+ ุฃุฎุฏู†ุงู‡ ููŠ ุงู„ combination ุงู„ุชุงู„ุช ูŠุง ู…ูˆุฌูˆุฏ ูŠุง ุบูŠุฑ
212
+
213
+ 54
214
+ 00:03:43,900 --> 00:03:47,180
215
+ ู…ูˆุฌูˆุฏ ูุงู„ possibilities ุชุจุนุชู‡ ุงุชู†ูŠู† and so on ูุฅุฐุง
216
+
217
+ 55
218
+ 00:03:47,180 --> 00:03:54,520
219
+ ุงู†ุถุฑุจูˆุง ููŠ ุจุนุถ ูƒุงู… ู…ุฑุฉ ุงู†ุชุฑุจูŠุง ูุฃุซุฑ ุงุชู†ูŠู† ู‡ุฐูŠ
220
+
221
+ 56
222
+ 00:03:54,520 --> 00:03:58,260
223
+ in general ุนุฏุฏ ุงู„ relations ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุงุฎุฏู‡ุง ู…ู†
224
+
225
+ 57
226
+ 00:03:58,260 --> 00:04:03,970
227
+ set ุงู„ cardinality ุจุชุงุนุชู‡ุง inุงู„ู„ูŠ ู‡ู…ุง ุนุงุฏุฉ ุนู†ุงุตุฑู‡ุง
228
+
229
+ 58
230
+ 00:04:03,970 --> 00:04:06,970
231
+ ุนุตุฑู‡ุง ุงู†ุช ู‡ุฐู‡ ูƒุงู†ุช ุฃุฎุฑ ุดุบู„ุฉ ุงุชูƒู„ู…ู†ุง ููŠู‡ุง ุงู„ู…ุฑุฉ
232
+
233
+ 59
234
+ 00:04:06,970 --> 00:04:11,210
235
+ ุงู„ู…ุงุถูŠุฉ ุงู„ุงู† ู†ุจุฏุฃ ู†ุงุฎุฏ ู…ุฌู…ูˆุนุฉ characteristic ุงูˆ
236
+
237
+ 60
238
+ 00:04:11,210 --> 00:04:16,390
239
+ ู…ุฌู…ูˆุนุฉ ู…ูŠุฒุงุช ู„ู„ relations
240
+
241
+ 61
242
+ 00:04:16,390 --> 00:04:21,550
243
+ ุฃูˆู„ ุฎุงุตูŠุฉ ุจุฏู†ุง ู†ุชูƒู„ู… ุนู†ู‡ุง ู‡ูŠ ุงู„ reflexivity ุงู„
244
+
245
+ 62
246
+ 00:04:21,550 --> 00:04:27,140
247
+ reflexivity ุงูˆ ุงู„ุนูƒุณูŠุฉ ุจู…ุนู†ู‰ู‡ุฐู‡ ูƒุงู†ุช ุงู„ relation R
248
+
249
+ 63
250
+ 00:04:27,140 --> 00:04:32,720
251
+ ุงู„ relation R ู‡ุฐู‡ ู…ุทุจู‚ุฉ ุนู„ู‰ ุงู„ set A ุจุณู…ูŠู‡ุง
252
+
253
+ 64
254
+ 00:04:32,720 --> 00:04:39,620
255
+ reflexive if for all A ู„ูƒู„ ุงู„ุนู†ุงุตุฑ A ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
256
+
257
+ 65
258
+ 00:04:39,620 --> 00:04:47,330
259
+ ุฏุงุฎู„ ุงู„ set A ูŠูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆ ู†ูุณู‡ูุงู†ุนูƒุณูŠุฉ
260
+
261
+ 66
262
+ 00:04:47,330 --> 00:04:52,230
263
+ ู‡ูŠ ุจูŠู†ู‡ ุจู†ูุณู‡ ูŠูˆุฌุฏ ุงู„ุนู„ุงู‚ุฉ ูŠูˆุฌุฏ ุถู…ู† ุงู„ relation
264
+
265
+ 67
266
+ 00:04:52,230 --> 00:04:58,110
267
+ ู‡ุฐู‡ ูู‡ุฐุง ุจู†ุณู…ูŠู‡ reflexive ุทูŠุจ ุงู„ู…ูƒู…ู„ ู„ู‡ ุงู„
268
+
269
+ 68
270
+ 00:04:58,110 --> 00:05:03,090
271
+ reflexive ุงู„ู…ูƒู…ู„ ู„ู‡ ุงู„ reflexive ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡
272
+
273
+ 69
274
+ 00:05:03,090 --> 00:05:08,090
275
+ ู…ู…ูƒู† ุชุฌูŠ ู†ุญู„ุงุช ู„ุง ู‡ูŠ reflexive ูˆู„ุง ู‡ูŠ reflexive ู„ุง
276
+
277
+ 70
278
+ 00:05:08,090 --> 00:05:13,780
279
+ ู‡ูŠ ุงู†ุนูƒุณูŠุฉ ูˆู„ุง ู‡ูŠ ู„ูŠุณุช ุฎุงู„ูŠุฉ ู…ู† ุงู„ุงู†ุนูƒุณูŠุฉู‡ูŠ ู„ุง ู‡ูŠูƒ
280
+
281
+ 71
282
+ 00:05:13,780 --> 00:05:19,480
283
+ ูˆู„ุง ู‡ูŠูƒุŒ ุจุงู„ุธุจุท ููŠู‡ุง ู†ุต ู‡ูŠูƒ ูˆู†ุต ู‡ูŠูƒุŒ ุจู…ุนู†ู‰ ู…ุด ูƒู„ุŒ
284
+
285
+ 72
286
+ 00:05:19,480 --> 00:05:25,040
287
+ ู‡ู†ุง ุงู„ุชุนุฑูŠู ุนุดุงู† ุฃู‚ูˆู„ reflexiveุŒ allุŒ allุŒ ูุฅุฐุง
288
+
289
+ 73
290
+ 00:05:25,040 --> 00:05:29,080
291
+ ูƒุงู† ุจุนุถู‡ู… ุฃูˆ ุจุนุถู‡ู…ุŒ ู„ุฃุŒ ุญุชู‰ ุงู„ reflexive ุจู‚ุฏุฑุด
292
+
293
+ 74
294
+ 00:05:29,080 --> 00:05:33,480
295
+ ุฃู‚ูˆู„ ุนู„ูŠู‡ุงุŒ ุงู„ reflexiveุŒ ู„ุฃู†ู‡ ู„ูŠุณุช ู…ูƒู…ู„ุฉ ู„ู„
296
+
297
+ 75
298
+ 00:05:33,480 --> 00:05:37,960
299
+ reflexiveุŒ ู…ุด ู…ูƒู…ู„ุฉ ู„ู„ reflexiveุทูŠุจ ูุฅุฐุง
300
+
301
+ 76
302
+ 00:05:37,960 --> 00:05:43,000
303
+ complementary ู„ู„ relation ูุฅุฐุง ุงู„ู…ูƒู…ู„ุฉ ู„ู„ R ุงู„ู„ูŠ
304
+
305
+ 77
306
+ 00:05:43,000 --> 00:05:45,360
307
+ ู‡ูŠ reflexive ู‡ุฐู‡ ุงู„ู…ูƒู…ู„ุฉ ุจุชุงุนุชู‡ุง ุจู†ุณู…ูŠู‡ุง
308
+
309
+ 78
310
+ 00:05:45,360 --> 00:05:50,760
311
+ irreflexiveุŒ ูƒูˆูŠุณุŒ ู„ุงุญุธ ุฅู† ุงู„ irreflexive ู‡ูŠ ู…ุด
312
+
313
+ 79
314
+ 00:05:50,760 --> 00:05:56,380
315
+ ู…ุนู†ุงู‡ุง ุฅู† ู‡ูŠ not reflexiveุจุงู„ุธุจุท ู‡ูŠ ู…ุด ู…ุนู†ุงู‡ ุงู† ู‡ูŠ
316
+
317
+ 80
318
+ 00:05:56,380 --> 00:06:00,580
319
+ irreflexive ู…ุนู†ุงู‡ ุงู† ู‡ูŠ not reflexive ู„ุฃ ู…ุงุญุฏุด ู‚ุงู„
320
+
321
+ 81
322
+ 00:06:00,580 --> 00:06:04,780
323
+ ู‡ูŠูƒ ู‡ูŠ ูƒู„ ุงู„ููƒุฑุฉ ูˆูŠู†ุŸ ููŠ ุฌุฒุฆูŠุฉ ุงู„ for all ู‡ุฐู‡ ููŠ
324
+
325
+ 82
326
+ 00:06:04,780 --> 00:06:10,440
327
+ ุฌุฒุฆูŠุฉ for all for all ู…ุนู†ุงุชู‡ ูƒู„ ุนู†ุงุตุฑ ุงู„ุณุช ูŠูˆุฌุฏ
328
+
329
+ 83
330
+ 00:06:10,440 --> 00:06:14,520
331
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ูˆุจูŠู† ู†ูุณู‡ุง okay reflexive ุทูŠุจ ูˆู„ุง
332
+
333
+ 84
334
+ 00:06:14,520 --> 00:06:19,780
335
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ a's ูŠูˆุฌุฏ ุจูŠู†ู‡ุง ูˆุจูŠู† ู†ูุณ ุนู„ุงู‚ุฉ
336
+
337
+ 85
338
+ 00:06:19,780 --> 00:06:24,250
339
+ irreflexive ุทุจ ุฅุฐุง ูƒุงู† ููŠ ู‡ูŠูƒ ูˆููŠ ู‡ูŠูƒุŸุจุนุถู‡ู… ู‡ูŠ ..
340
+
341
+ 86
342
+ 00:06:24,250 --> 00:06:28,950
343
+ there exist ูŠุนู†ูŠ ูุฅุฐู† ู‡ูŠ ู„ุง reflexive ูˆู„ุง
344
+
345
+ 87
346
+ 00:06:28,950 --> 00:06:31,290
347
+ irreflexive ู„ุงุฒู… ูŠูƒูˆู† there exist ู„ุฃู† ุงู†ุช ุนู†ุฏูƒ ..
348
+
349
+ 88
350
+ 00:06:31,290 --> 00:06:33,370
351
+ ุงู†ุช ู‚ูˆู„ุช ุนุฏุฏ ุงู„ relations ููŠ ุงู„ identity relation
352
+
353
+ 89
354
+ 00:06:33,370 --> 00:06:36,050
355
+ ู„ุงุฒู… ูŠูƒูˆู† across .. ุณูŠุจูƒ ู…ู† ู‡ุฐู‡ .. ู‡ุฐู‡ ุงู„ู…ูˆุถูˆุน
356
+
357
+ 90
358
+ 00:06:36,050 --> 00:06:38,210
359
+ ุชุงู†ูŠ .. ู‡ุฏ .. ู‡ุฏ ูƒู†ุง ู†ุชูƒู„ู… ุนู† ุฌุฏุด ุนุฏุฏ ุงู„ relations
360
+
361
+ 91
362
+ 00:06:38,210 --> 00:06:40,590
363
+ ููŠ ุงู„ุณู†ุฉ .. ูุด zero relation ูŠุนู†ูŠ ููŠู‡ุง .. ูุด zero
364
+
365
+ 92
366
+ 00:06:40,590 --> 00:06:44,270
367
+ .. ูุด zero .. ุงู‡ ู„ุฃู† ุจุจุฑ .. ุทูŠุจ ู„ุงุญุธ ุฎู„ู‘ูŠูƒ ู…ุนุงูŠุง
368
+
369
+ 93
370
+ 00:06:44,270 --> 00:06:47,110
371
+ there exist ุจู…ุนู†ู‰ ุฃู† ุงุญู†ุง ู…ุชูƒู„ู… ุงู„ุขู† ุนู† ุงู„ุนู†ุงุตุฑ ุงู„
372
+
373
+ 94
374
+ 00:06:47,110 --> 00:06:51,310
375
+ N ู†ูุณู‡ู… ู‡ุฏูˆู„ุฉ ุงู„ N ู‡ุฏูˆู„ุฉ ู‡ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏ ุงุชู†ูŠู†
376
+
377
+ 95
378
+ 00:06:51,310 --> 00:06:57,900
379
+ ุชู„ุงุชุฉุฎู…ุณุฉุŒ ุณุจุนุฉุŒ ู„ุนู†ุฏ N ุฎู„ู‘ูŠู†ุง ู†ู‚ูˆู„ ุฃุฑุจุนุฉ ู„ุนู†ุฏ N
380
+
381
+ 96
382
+ 00:06:57,900 --> 00:07:02,020
383
+ ุนุฏุฏู‡ู… ุงู„ cardinality ู‡ุฐู‡ ู„ู…ุง ุฃู‚ูˆู„ ุงู†ู‡ reflexive
384
+
385
+ 97
386
+ 00:07:02,020 --> 00:07:06,340
387
+ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุงู†ู‡ ููŠ ุงู„ relation ูุนู„ูŠุง ูŠูˆุฌุฏ ูˆุงุญุฏ ูˆ
388
+
389
+ 98
390
+ 00:07:06,340 --> 00:07:12,860
391
+ ูˆุงุญุฏ ุจูŠู† ุงู„ุนู†ุตุฑ ูˆ ู†ูุณู‡ ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ุงู„ุนู†ุตุฑ ูˆ
392
+
393
+ 99
394
+ 00:07:12,860 --> 00:07:22,990
395
+ ู†ูุณู‡ ูˆ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุฃุฑุจุนุฉ ู„ุนู†ุฏ N ูˆ NุทูŠุจ
396
+
397
+ 100
398
+ 00:07:22,990 --> 00:07:28,430
399
+ ู„ูˆ ูˆุงุญุฏ ู…ู†ู‡ู… ุบูŠุฑ ู…ูˆุฌูˆุฏ ุจุทู„ุช
400
+
401
+ 101
402
+ 00:07:28,430 --> 00:07:34,570
403
+ reflexive ู„ูŠุดุŸ ู„ุฃู†ู‡ ู„ูŠุณุช for all ู‡ู‰ there exist ุงู‡
404
+
405
+ 102
406
+ 00:07:34,570 --> 00:07:39,650
407
+ there exist ุจุณ ู…ุด reflexive ูุฅุฐุง ุงู„ููƒุฑุฉ ููŠ for all
408
+
409
+ 103
410
+ 00:07:39,650 --> 00:07:44,330
411
+ for all ู„ุฃู†ู‡ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ู„ุฃ ุงู„ุนู†ุตุฑ ู‡ู†ุง ู„ุงูˆุฌุฏ
412
+
413
+ 104
414
+ 00:07:44,330 --> 00:07:47,850
415
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ ูˆุจูŠู† ู†ูุณู‡ ู‡ูˆ ู…ุด ู…ูˆุฌูˆุฏ ุถู…ู† ุงู„ relations
416
+
417
+ 105
418
+ 00:07:48,750 --> 00:07:51,230
419
+ ุถู…ู† ุงู„ relations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู‰ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡
420
+
421
+ 106
422
+ 00:07:51,230 --> 00:07:56,050
423
+ ุงู†ุชูุช ุงู„ for all ูุฅุฐุง ุชุนุฑูŠู for all ู‡ูˆ ุงูƒุซุฑ ุฏู‚ุฉ ู„ู„
424
+
425
+ 107
426
+ 00:07:56,050 --> 00:08:02,750
427
+ reflexive ู„ุงุฒู… ูƒู„ู‡ู… ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ุนุดุงู†
428
+
429
+ 108
430
+ 00:08:02,750 --> 00:08:07,090
431
+ ุชู†ููŠู‡ for all ุชู†ููŠู‡ุง ูุฅุฐุง ุนุดุงู† ุชู†ููŠู‡ุง ุฅูŠุด ูŠุนู†ูŠุŸ
432
+
433
+ 109
434
+ 00:08:07,090 --> 00:08:14,390
435
+ not reflexive ู…ุนู†ุงุชู‡ ู‡ูŠูƒ not reflexiveู‡ูƒ ุฃุตุจุญุช ู…ุงุช
436
+
437
+ 110
438
+ 00:08:14,390 --> 00:08:18,370
439
+ reflexive ู„ุฃู†ู‡ ู…ุญู‚ู‚ุชุด for all ุจุณ ู…ุด ุงู„ reflexive
440
+
441
+ 111
442
+ 00:08:18,370 --> 00:08:24,410
443
+ ุงู„ reflexive ู…ุนู†ุงุชู‡ ุงู„ู…ูƒู…ู„ุฉ ุงู„ู…ูƒู…ู„ุฉ ู„ู„ reflexive
444
+
445
+ 112
446
+ 00:08:24,410 --> 00:08:28,470
447
+ ุงู„ู…ูƒู…ู„ุฉ ู„ู„ reflexive ูŠุนู†ูŠ ูˆู„ุง ุนู†ุตุฑ ู…ู† ุงู„ ..
448
+
449
+ 113
450
+ 00:08:28,470 --> 00:08:34,040
451
+ ุงู„ู†ุชุงุฆุฌ ุงู„ relation ู…ุน ู†ูุณู‡ู‡ู„ุงุฌูŠ ูˆุงุญุฏ ูˆุงุชู†ูŠู†ุŒ
452
+
453
+ 114
454
+ 00:08:34,040 --> 00:08:39,960
455
+ ู‡ู„ุงุฌูŠ ุฎู…ุณุฉ ู…ุน ุณุจุนุฉุŒ ู‡ู„ุงุฌูŠ ุชู„ุงุชุฉ ู…ุน ูˆุงุญุฏุŒ ู„ูƒู† ู…ุด
456
+
457
+ 115
458
+ 00:08:39,960 --> 00:08:43,100
459
+ ู‡ู„ุงุฌูŠ ุงุชู†ูŠู† ู…ุน ุงุชู†ูŠู† ู…ุซู„ุงุŒ ูˆุงุญุฏ ู…ุน ูˆุงุญุฏุŒ ุฎู…ุณุฉ ู…ุน
460
+
461
+ 116
462
+ 00:08:43,100 --> 00:08:47,380
463
+ ุฎู…ุณุฉุŒ ูููŠ ุงู„ุญุงู„ุฉ ุฅุฐุง ูุนู„ุง ู„ุงุชูˆุฌุฏ ูƒู„ู‡ู… ุนู†ุงุตุฑ ุนุงุฏูŠุฉ
464
+
465
+ 117
466
+ 00:08:47,380 --> 00:08:52,280
467
+ relation ุจูŠู† ุฃุฑู‚ุงู… ู…ุฎุชู„ูุฉ ุฃูˆ ุนู†ุงุตุฑ ู…ุฎุชู„ูุฉุŒ ุจุณู…ูŠู‡ุง
468
+
469
+ 118
470
+ 00:08:52,280 --> 00:08:52,800
471
+ ุงู„ reflex
472
+
473
+ 119
474
+ 00:09:00,560 --> 00:09:06,720
475
+ ุฃู†ุชูˆุง ุจุชุญูˆู„ูˆู‡ุง ู„ุตูŠุบุฉ ุชุงู†ูŠุฉ ูŠุนู†ูŠ ู‡ูŠ ุจูƒู„ ุจุณุงุทุฉ ู„ู…ุง
476
+
477
+ 120
478
+ 00:09:06,720 --> 00:09:11,120
479
+ ุจู‚ูˆู„ for all ุจู…ุนู†ู‰ ูƒู„ ุนู†ุงุตุฑ ุงู„ู…ุฌู…ูˆุนุฉ ูƒู„ ุนู†ุตุฑ ู…ู†
480
+
481
+ 121
482
+ 00:09:11,120 --> 00:09:15,600
483
+ ุนู†ุงุตุฑ ุงู„ู…ุฌู…ูˆุนุฉ ู‡ูˆ ูŠูˆุฌุฏ ุจูŠู†ู‡ ูˆุจูŠู† ู†ูุณู‡ ุนู„ุงู‚ุฉ ูƒูˆูŠุณุŸ
484
+
485
+ 122
486
+ 00:09:15,600 --> 00:09:22,560
487
+ ุจู…ุนู†ู‰ ู„ู…ุง ุฃู‚ูˆู„ ุงู„ priority ู„ูƒู„ ูˆุงุญุฏ ููŠูƒู… ุฃูƒูŠุฏ ุทุจุนุง
488
+
489
+ 123
490
+ 00:09:22,560 --> 00:09:25,100
491
+ ููŠ ุงู„ู…ุฌู…ูˆุนุฉ ุจุชุงุนุชู†ุง ูƒู„ ูˆุงุญุฏ priority ู„ู‡ ู†ูุณู‡ ุฃุนู„ู‰
492
+
493
+ 124
494
+ 00:09:25,100 --> 00:09:28,580
495
+ ู…ู† priority ู„ู‡ ุบูŠุฑู‡ ุงู„ุฃูˆู„ูˆูŠุฉ ู…ุด ุดุงูŠูุŸ ูุฅุฐุง
496
+
497
+ 125
498
+ 00:09:28,580 --> 00:09:34,280
499
+ reflexiveุงู„ุนู„ุงู‚ุฉ ุงู„ุขู† ุจูŠู† .. ุจูŠู† co ู‡ูŠ reflexive
500
+
501
+ 126
502
+ 00:09:34,280 --> 00:09:38,600
503
+ ู„ู…ุง ุจู‚ูˆู„ ุงู„ priority ู…ุซู„ุง ุงู„ุฃูˆู„ูˆูŠุฉ ู…ูŠู† ุนู†ุฏูƒ ุงู„ุฃูˆู„ู‰
504
+
505
+ 127
506
+ 00:09:38,600 --> 00:09:42,300
507
+ ููŠ ุงู„ู‚ุงุนุฉ ู‡ุชู‚ูˆู„ ู„ุฃ ูˆุงู„ู„ู‡ ุฃู†ุง ุฃูˆู„ู‰ ู…ู† ู†ูุณูŠ .. ู„ูŠู‡ุŸ
508
+
509
+ 128
510
+ 00:09:42,300 --> 00:09:45,880
511
+ ุตุญูŠุญุŸ ูู…ุนู†ู‰ ุฐู„ูƒ ุจู‚ูˆู„ reflexive ุทูŠุจ ู„ูˆ ูˆุงุญุฏ ุทู„ุน
512
+
513
+ 129
514
+ 00:09:45,880 --> 00:09:52,400
515
+ ู†ูุณูŠุชู‡ ู†ุงุฒู„ุฉ ูˆูˆุถุนู‡ ุฌุงู„ูƒ ูŠุง ุนู… ุฎู„ุงุต ู‡ูŠ ุฎุฑุจุงู†ุฉ
516
+
517
+ 130
518
+ 00:09:52,400 --> 00:09:57,200
519
+ ุฎุฑุจุงู†ุฉ ุฎุฑุจุงู†ุฉ ุฎุฑุจุงู†ุฉ ู„ุฃ ุฃู†ุช ุฃูˆู„ู‰ ู…ู†ูŠู‡ูŠ ุฎู„ุงุต ูŠุนู†ูŠ
520
+
521
+ 131
522
+ 00:09:57,200 --> 00:10:00,200
523
+ ูู‚ุฏ ุงู„ู…ูˆุถูˆุน ูˆุงุญุฏ ูŠูƒููŠ ุฃู† ูŠู‚ูˆู„ ู„ุฃ ู‡ูŠ ุฃูˆู„ู‰ ู…ู†ูŠ ..
524
+
525
+ 132
526
+ 00:10:00,200 --> 00:10:04,080
527
+ ุงู†ุช ุฃูˆู„ู‰ ู…ู†ูŠ ุฎู„ุงุต .. ู‡ูŠูƒ ุจุชุตูŠุฑ not reflexive ..
528
+
529
+ 133
530
+ 00:10:04,080 --> 00:10:08,000
531
+ not reflexive ุจุณ ุณุจุญุงู† ุงู„ู„ู‡ ุฅุฐุง ูƒุงู† ูƒู„ูƒูˆุง ุฃุตุญุงุจ
532
+
533
+ 134
534
+ 00:10:08,000 --> 00:10:12,240
535
+ ุฅูŠุซุงุฑ ูˆ ูƒู„ูƒูˆุง .. ูƒู„ูƒูˆุง ู‡ูŠูƒ ูุฌุฃุฉ ุตุฑุชูˆุง ุฃุตุญุงุจ ุฅูŠุซุงุฑ
536
+
537
+ 135
538
+ 00:10:12,240 --> 00:10:17,260
539
+ ูˆู„ุง ูˆุงุญุฏ ุงู„ priority ู„ู†ูุณู‡ ูƒู„ู‡ ูŠุนุทูŠ priority ู„ุบูŠุฑู‡
540
+
541
+ 136
542
+ 00:10:17,260 --> 00:10:23,410
543
+ ุฌุจู„ู‡ ู‡ู†ุง ุจุชุตูŠุฑ irreflexive ุจุณ ู‡ู†ุง ุจุชุตูŠุฑ for allnot
544
+
545
+ 137
546
+ 00:10:23,410 --> 00:10:36,590
547
+ reflexive for all ู‡ู†ุง ูŠุนู†ูŠ ู„ู„ูƒู„ ู„ูŠุณุช ุงูŠู‡ ุงูˆ ู„ู„ูƒู„
548
+
549
+ 138
550
+ 00:10:36,590 --> 00:10:40,390
551
+ ุงูŠู‡
552
+
553
+ 139
554
+ 00:10:40,390 --> 00:10:46,970
555
+ ู„ูƒู„ ุงู„ุนู†ุงุตุฑ ู„ุงูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุฃู†ุตุฑ ู†ูุณู‡ ู‡ู†ุง ุจุชู…ุดูŠ
556
+
557
+ 140
558
+ 00:10:46,970 --> 00:10:52,150
559
+ irreflexive ุชู…ุงู…ู†ุดูˆู ุฅูŠุด ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ู…ูŠุนุทูŠู†ุง
560
+
561
+ 141
562
+ 00:10:52,150 --> 00:10:56,150
563
+ ุฅูŠุงู‡ุงุŒ ู…ูŠุนุทูŠู†ูŠ ุงู„ like ุทุจุนุง ู…ู† ุฃุนู‚ุฏ ุฃูˆ ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„
564
+
565
+ 142
566
+ 00:10:56,150 --> 00:11:01,050
567
+ ู…ู† ุฃูƒุซุฑ ุงู„ relations ุงู„ู„ูŠ ู…ุงู„ู‡ุงุด rules ุงู„ู„ูŠ ู‡ูŠ
568
+
569
+ 143
570
+ 00:11:01,050 --> 00:11:05,530
571
+ like ูู„ูˆ ู‚ูˆู„ู†ุง likes between people is not
572
+
573
+ 144
574
+ 00:11:05,530 --> 00:11:11,710
575
+ reflexive ูˆุจุฑุถู‡ not irreflexive ูุฅุฐุง likesุŒ x
576
+
577
+ 145
578
+ 00:11:11,710 --> 00:11:15,770
579
+ likes xุŒ ู…ุงู‚ุฏุฑุด ุฃุนู…ู„ ุนู„ู‰ ุงู„ูƒู„ ุฒูŠ ู…ุง ุงุญู†ุง ุทูˆู‰ ู‚ูˆู„ู†ุง
580
+
581
+ 146
582
+ 00:11:17,160 --> 00:11:20,720
583
+ ุจู‚ุฏุฑุด ุฃุนู…ู…ู‡ุง ุนู„ู‰ ูƒู„ ุงู„ people ู…ุด ู‡ูŠูƒ ูุฅุฐุง ุจู‚ุฏุฑุด
584
+
585
+ 147
586
+ 00:11:20,720 --> 00:11:23,680
587
+ ุฃู‚ูˆู„ ุฅู† ู‡ูŠ reflexive ูู‡ูŠ not reflexive ุจุณ ููŠ ู†ูุณ
588
+
589
+ 148
590
+ 00:11:23,680 --> 00:11:27,960
591
+ ุงู„ูˆู‚ุช ุจู‚ุฏุฑุด ุฃู‚ูˆู„ ุฅู† ูƒู„ ุงู„ people ู‡ู… ู„ุง ูŠูุถู„ูˆุง
592
+
593
+ 149
594
+ 00:11:27,960 --> 00:11:33,900
595
+ ุฃู†ูุณู‡ู… ู…ุด ู‡ูŠูƒ ุงูŠู‡ likes ุงูŠู‡ ุจู‚ุฏุฑุด ุจุฑุถู‡ ุฃู‚ูˆู„ ุงูŠู‡
596
+
597
+ 150
598
+ 00:11:33,900 --> 00:11:40,320
599
+ dislikes ุงูŠู‡ู„ูƒู„ ุงู„ ุฅูŠู‡ุŒ ูุฅุฐุง ุญุงู„ุฉ ุฒูŠ ู‡ุฐู‡ ู…ุงู„ู‡ุงุด
600
+
601
+ 151
602
+ 00:11:40,320 --> 00:11:43,440
603
+ roleุŒ ู‡ุฐู‡ ู„ุง ู‡ูŠูƒ ูˆู„ุง ู‡ูŠ ู‡ูŠูƒุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ุฒูŠ ู…ุง
604
+
605
+ 152
606
+ 00:11:43,440 --> 00:11:48,760
607
+ ู‚ู„ู†ุง everyone likes themselves ู…ุด ุจุงู„ุถุฑูˆุฑูŠุŒ ูˆููŠ
608
+
609
+ 153
610
+ 00:11:48,760 --> 00:11:53,910
611
+ ู†ูุณ ุงู„ูˆุฌูˆุฏ not everyone dislikes themselvesู†ูุณ
612
+
613
+ 154
614
+ 00:11:53,910 --> 00:11:58,550
615
+ ุงู„ููƒุฑุฉ ุทูŠุจ ู…ุซุงู„ ู‡ุชุดูˆู ู…ู† ู…ุฌู…ูˆุนุฉ ุงู„ relations ุงู„ู„ูŠ
616
+
617
+ 155
618
+ 00:11:58,550 --> 00:12:02,870
619
+ ู…ูˆุฌูˆุฏุฉ ู‚ุฏุงู…ู†ุง ุจุงู„ู†ุณุจุฉ ู„ู„ domain ุงูˆ ู„ู„ set A ูˆุงุญุฏ
620
+
621
+ 156
622
+ 00:12:02,870 --> 00:12:12,610
623
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ู…ูŠู† ู…ู†ู‡ู… reflexive ุงู„ุฃูˆู„ู‰ ู„ูŠุดุŸ
624
+
625
+ 157
626
+ 00:12:12,610 --> 00:12:15,350
627
+ ุงู„ุฃุชู†ูŠู† ูˆุงู„ุงุชู†ูŠู† ูุฅุฐุง no ุชุงู†ูŠุฉ
628
+
629
+ 158
630
+ 00:12:17,460 --> 00:12:20,620
631
+ yes ุชุงู„ุชุฉ ุงูŠูˆุฉ ู…ุง ุดุงุก ุงู„ู„ู‡ ูˆุงุญุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุงุชู†ูŠู†
632
+
633
+ 159
634
+ 00:12:20,620 --> 00:12:27,220
635
+ ุงู‡ ููŠ ุงู„ุฃุฑุจุนุฉ ูุฅุฐู† not for all for all ู…ุนู†ุงุชู‡ ูƒู„ู‡ู…
636
+
637
+ 160
638
+ 00:12:27,220 --> 00:12:31,420
639
+ ุทุจ
640
+
641
+ 161
642
+ 00:12:31,420 --> 00:12:34,360
643
+ ู…ุงุดูŠ ูู„ูŠูƒู† ุงุชู†ูŠู† ุชู„ุงุชุฉ back relations ู…ุด ู…ุดูƒู„ุฉ ุงู†ุง
644
+
645
+ 162
646
+ 00:12:34,360 --> 00:12:38,280
647
+ ุงู„ู„ูŠ ุจู‡ู…ู† ูƒู„ relation ุงู„ุนู†ุตุฑ ู…ุน ู†ูุณู‡ ู…ุน ุงุดูŠ ุชุงู†ูŠ
648
+
649
+ 163
650
+ 00:12:38,280 --> 00:12:42,860
651
+ ุงู‡ ูู„ูŠูƒู† ูˆุงุถุญูŠุชุŸ ุงู†ุง ูƒุงู† ุจู‡ู…ู† ุงู† ู‡ูŠ for all ุงูŠู‡ ู…ุน
652
+
653
+ 164
654
+ 00:12:42,860 --> 00:12:46,340
655
+ ุงูŠู‡ ู‡ุฐุง ุงุชุญู‚ู‚ุช ููŠ ุงุดูŠ ุฅุจุงููŠ ูู„ูŠูƒู† ู…ุงุนู†ุฏูŠุด ู…ุดูƒู„ุฉ
656
+
657
+ 165
658
+ 00:12:46,340 --> 00:12:51,860
659
+ ููŠู‡ูŠุนู†ูŠ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ุงู† ุงู†ุช likes yourself ู…ุนู†ุงุชู‡
660
+
661
+ 166
662
+ 00:12:51,860 --> 00:12:56,060
663
+ ุงู†ูƒ ุงู†ุช ุจุชูุถู„ุด ุบูŠุฑูƒ ุงูˆ ุงู†ุช ูƒุงุฑู‡ ู„ุบูŠุฑูƒ ู…ุนู†ุงุชู‡ ู„ุฃ
664
+
665
+ 167
666
+ 00:12:56,060 --> 00:13:03,380
667
+ ุฎู„ุงุต okay ุง ู…ุน ุง ูˆ ุง ู…ุน ุบูŠุฑ ุง ุชู…ุงู… ุทูŠุจ ู‡ูŠ ูƒู…ุงู†
668
+
669
+ 168
670
+ 00:13:03,380 --> 00:13:11,820
671
+ ู…ุซุงู„ ุงูŠุด ุฑุฃูŠูƒูˆุง ููŠ ู‡ุฐุง ุงู„ุงูˆู„ู‰ ูˆูŠู† ููŠุด ุชู„ุงุชุฉ ุชู„ุงุชุฉ
672
+
673
+ 169
674
+ 00:13:11,820 --> 00:13:20,980
675
+ no ุงู„ุชุงู†ูŠุฉุชุงู„ุชุฉ ู‡ูŠ ุญู„ูˆุฉ ุชุงู„ุชุฉ ุดูƒู„ู‡ุง ูƒูˆูŠุณุฉ ุงู„ุฑุงุจุนุฉ
676
+
677
+ 170
678
+ 00:13:20,980 --> 00:13:27,800
679
+ ุงูŠุด ุงู„ู…ุดูƒู„ุฉ ููŠู‡ุง ูˆู„ุง ูˆุงุญุฏุฉ ุงู„ reflexive ุงู„ุฑุงุจุนุฉ
680
+
681
+ 171
682
+ 00:13:27,800 --> 00:13:33,340
683
+ ูˆู„ุง ูˆุงุญุฏุฉ ุฌุงุนุฏ ุจู‚ูˆู„ูƒ ูˆู„ุง ูˆุงุญุฏุฉ ุทูŠุจ ุงู„ุฎุงู…ุณุฉ ู‡ูŠ ุนู†ุฏูƒ
684
+
685
+ 172
686
+ 00:13:33,340 --> 00:13:37,780
687
+ ุงู„ูˆุงุญุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุงุชู†ูŠู† ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
688
+
689
+ 173
690
+ 00:13:37,780 --> 00:13:43,300
691
+ ุทูŠุจ ุงู„ reflexive
692
+
693
+ 174
694
+ 00:13:45,300 --> 00:13:50,700
695
+ ุตุญูŠุญุŸ ูู‡ูŠ ุงู„ู…ูƒู…ู„ุฉ ุจู…ุนู†ู‰ ู„ุง ูŠูˆุฌุฏ ูˆู„ุง A ู…ุน A ู„ุง ูŠูˆุฌุฏ
696
+
697
+ 175
698
+ 00:13:50,700 --> 00:13:55,500
699
+ ุฃูŠ A ู…ุน A ุชู…ุงู… ุงู„ inverse ู„ู„ relation ุงู„ inverse
700
+
701
+ 176
702
+ 00:13:55,500 --> 00:13:59,260
703
+ ู„ู„ relation ุจู‚ุฏุฑ ุฃู‚ูˆู„ ุฅู†ู‡ ุจุงู„ binary relation ู„
704
+
705
+ 177
706
+ 00:13:59,260 --> 00:14:02,820
707
+ from A to A ู…ู…ูƒู† ูŠูƒูˆู† ููŠ inverse ูˆ ุงู„ inverse ู‡ุฐุง
708
+
709
+ 178
710
+ 00:14:02,820 --> 00:14:07,500
711
+ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุทู„ ู…ุด complementary ู…ุฎุชู„ูุฉ ุงู„
712
+
713
+ 179
714
+ 00:14:07,500 --> 00:14:11,240
715
+ reverse ู‡ุฐุง ุฃูˆ ุงู„ inverse ุนููˆุง ุงู„ inverse from B
716
+
717
+ 180
718
+ 00:14:11,240 --> 00:14:15,800
719
+ to Afrom B to A ุจู…ุนู†ู‰ ุงู†ู‡ ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู†ู‡ุง inverse
720
+
721
+ 181
722
+ 00:14:15,800 --> 00:14:23,020
723
+ ู„ูƒู„ B ูˆ A ู„ูƒู„ B ูˆ A ุจุดุฑุท ุงู†ู‡ ูƒุงู†ุช A ูˆ B ุชู†ุชู…ูŠ ู„ู„ R
724
+
725
+ 182
726
+ 00:14:23,020 --> 00:14:31,360
727
+ ุงุฐุง A ูˆ B ุชู†ุชู…ูŠ ู„ู„ R ู…ุนู†ู‰ ุฐู„ูƒ ุงู†ู‡ P ูˆ A ุชู†ุชู…ูŠ ู„ู„
728
+
729
+ 183
730
+ 00:14:31,360 --> 00:14:38,800
731
+ inverse of R ู„ inverse ุงู„ R ุชู…ุงู… ุจู…ุนู†ู‰ ู„ู…ุง ู†ู‚ูˆู„ ุงู„
732
+
733
+ 184
734
+ 00:14:38,800 --> 00:14:43,970
735
+ inverse ู„ ุงู„ุฃุตุบุฑ ู…ู†inverse ุฃุตุบุฑ ู…ู† ู‡ู†ุง ุจู‚ุฏุฑ ุฃู‚ูˆู„
736
+
737
+ 185
738
+ 00:14:43,970 --> 00:14:49,590
739
+ ุฅู†ู‡ ู‡ุฏู‰ ูƒุฃู†ู‡ b to a ุจุดุฑุท ุฅู†ู‡ a ุฃุตุบุฑ ู…ู† b ูˆ b ุชุญู‚ู‚
740
+
741
+ 186
742
+ 00:14:49,590 --> 00:14:53,150
743
+ ุงู„ relation ูŠุนู†ูŠ a ุฃู‚ู„ ู…ู† b ูุฅุฐุง ุงู„ inverse ุชุจุนู‡ุง
744
+
745
+ 187
746
+ 00:14:53,150 --> 00:14:58,310
747
+ ุฅูŠุด ุจูŠุทู„ุน ุฃูƒุจุฑ ู…ู† ุทุจ ุงู„ complementary ุชุจุนู‡ุง ุฃูˆ
748
+
749
+ 188
750
+ 00:14:58,310 --> 00:15:03,630
751
+ ูŠุณุงูˆูŠ ุฃูˆ ูŠุณุงูˆูŠ ูู‡ู†ุง ุฃูƒุจุฑ ู…ู† ู„ุฃู†ู‡ ุนุงุฑููŠู† ุฅู†ู‡ ุงู„
752
+
753
+ 189
754
+ 00:15:03,630 --> 00:15:09,110
755
+ relation ู†ูุณู‡ุง a ุฃุตุบุฑ ู…ู† b ุทูŠุจ b ูˆ a ุฃูƒูŠุฏ ู‡ุชูƒูˆู† b
756
+
757
+ 190
758
+ 00:15:09,110 --> 00:15:15,200
759
+ ุฏุงูŠู…ุง ุฃูƒุจุฑ ู…ู† aู„ู…ุง ุชู†ุนูƒุณ ู‡ุชุตูŠุฑ ุนูƒุณู‡ุง ุทูŠุจ ุฅุฐุง ูƒุงู†
760
+
761
+ 191
762
+ 00:15:15,200 --> 00:15:21,060
763
+ ุนู†ุฏูŠ r ู‡ูŠ ู…ู† ุงู„ relation from people to foods ู…ู†
764
+
765
+ 192
766
+ 00:15:21,060 --> 00:15:27,560
767
+ ุงู„ู†ุงุณ ู„ู„ุฃูƒู„ ูุฅุฐุง ุจู‚ุฏุฑ ุฃุนุฑูู‡ุง a r b ุฃู† ู‡ูŠ a eats b
768
+
769
+ 193
770
+ 00:15:27,560 --> 00:15:32,360
771
+ ู…ุด ู‡ูŠูƒ ุทูŠุจ ุงู„ inverse ุชุจุนู‡ุง ุงู„ inverse ุชุจุนู‡ุง
772
+
773
+ 194
774
+ 00:15:32,360 --> 00:15:37,500
775
+ ู…ุนู†ุงุชู‡ ุจุชูƒูˆู† ุจุงู„ุนูƒุณ ู‡ุงุฎุฏ ุงู„ passive voice ุฃูˆ ู…ุจู†ูŠ
776
+
777
+ 195
778
+ 00:15:37,500 --> 00:15:44,840
779
+ ู„ู„ู…ุฌู‡ูˆู„ ุฃูƒู„ ุนูƒุณู‡ ู…ุฃูƒู„ู…ุด ู‡ูŠูƒุŸ ูุฅุฐุง ุจุชุตูŠุฑ ุจูŠ is
780
+
781
+ 196
782
+ 00:15:44,840 --> 00:15:51,420
783
+ eaten by a ุตุงุฑุช ุนูƒุณ ุงู„ูุนู„ ุนูƒุณ ุงู„ูุนู„ ู†ูุณู‡ ุฃูƒู„ ุนูƒุณ
784
+
785
+ 197
786
+ 00:15:51,420 --> 00:15:56,340
787
+ ู…ุฃูƒู„ ุงู„ุฃูƒู„ ู‡ูˆ ุงู„ subject ู…ุด ุงู„ุฃูƒู„ ู„ู…ูŠู† ุจู‚ูˆู„ ู‡ุฐุง ุงู„
788
+
789
+ 198
790
+ 00:15:56,340 --> 00:16:00,440
791
+ subject ุงู„ูุนู„ ุทุจ ู…ุฃูƒู„ ุจุชุฑูˆุญ ู„ู„ู…ูู‚ูˆู„ ุจู‡ ูุนูƒุณ ุจุนุถ
792
+
793
+ 199
794
+ 00:16:00,440 --> 00:16:10,210
795
+ ุนูƒุณ ู†ูุณ ุงู„ุฃุดูŠุงุก ู†ูุณ ุงู„ุฃุดูŠุงุก ูˆู„ูƒู† ุจุณ ุจุณ ุชู…ุงู…ุทูŠุจ ู‡ุฐุง
796
+
797
+ 200
798
+ 00:16:10,210 --> 00:16:13,050
799
+ ู‡ูŠู‚ูˆุฏู†ุง ู„ุญุงุฌุฉ ุงุณู…ู‡ุง ููŠ ุงู„ .. ููŠ ุงู„ relations
800
+
801
+ 201
802
+ 00:16:13,050 --> 00:16:16,590
803
+ symmetry ูˆ ุงู„ antisymmetry symmetry ูˆ antisymmetry
804
+
805
+ 202
806
+ 00:16:16,590 --> 00:16:21,550
807
+ ูˆ asymmetry ูƒู…ุงู† asymmetry ุทูŠุจ ู†ุงุฎุฏู‡ู… ุญุงุฌุฉ ุญุงุฌุฉ ุงู„
808
+
809
+ 203
810
+ 00:16:21,550 --> 00:16:27,050
811
+ relation R ุนู„ู‰ ุงู„ A ู„ู„ุณุช A ู…ุซู„ุง ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ุง
812
+
813
+ 204
814
+ 00:16:27,050 --> 00:16:34,100
815
+ symmetric if and only ifR ุชุณุงูˆูŠ Rโปยน ุฃูˆ ุงู„ inverse
816
+
817
+ 205
818
+ 00:16:34,100 --> 00:16:37,240
819
+ ุชุจุนู‡ุง ุฅุฐุง ุจุงู„ู„ู‡ ุจุชุณุงูˆูŠ ุงู„ inverse ุชุจุนู‡ุง ุฌูŠู†ุง
820
+
821
+ 206
822
+ 00:16:37,240 --> 00:16:41,160
823
+ ุนูƒุณู†ุงู‡ุง ู„ุฌูŠู†ุงู‡ุง ุจุชุณุงูˆูŠ ุงู„ inverse ุชุจุนู‡ุง ูƒู„ ุนู†ุตุฑ
824
+
825
+ 207
826
+ 00:16:41,160 --> 00:16:45,100
827
+ ุนูƒุณู†ุงู‡ A ู…ุน BุŒ ูƒู„ ุนู†ุตุฑ ุนูƒุณู†ุงู‡ A ู…ุน BุŒ A ู…ุน BุŒ A ู…ุน
828
+
829
+ 208
830
+ 00:16:45,100 --> 00:16:48,820
831
+ BุŒ A ู…ุน BุŒ ุจุนุฏูŠู† ุฌูŠุช ุงุชุทู„ุนุช ุนู† ู†ุงุชุฌ ู„ูƒุฏู‡ ู‡ูˆ ู†ูุณู‡ R
832
+
833
+ 209
834
+ 00:16:48,820 --> 00:16:53,980
835
+ ุฃุณุงุณุง ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุณู…ูŠู‡ุง symmetric ู‡ุฐู‡ relation
836
+
837
+ 210
838
+ 00:16:53,980 --> 00:16:58,750
839
+ ุจุณู…ูŠู‡ุง symmetrical relation ุฒูŠ ุงู„ equalrelation
840
+
841
+ 211
842
+ 00:16:58,750 --> 00:17:05,630
843
+ equal ู‡ูŠ symmetric ู„ุฃู†ู‡ ู„ู…ุง ุจู‚ูˆู„ a ุชุณุงูˆูŠ b ุจุฑุถู‡ ู„ูˆ
844
+
845
+ 212
846
+ 00:17:05,630 --> 00:17:12,310
847
+ ุนูƒุณู†ุงู‡ุง ู…ุงู‡ูŠ b ุชุณุงูˆูŠ a ุฃุตุบุฑ ู…ู† ู„ุฃ ู„ู…ุง ุจู‚ูˆู„ a ุฃุตุบุฑ
848
+
849
+ 213
850
+ 00:17:12,310 --> 00:17:18,770
851
+ ู…ู† b ูˆู„ุง ูŠู…ูƒู† ุชูƒูˆู† b ุฃุตุบุฑ ู…ู† a ูุฅุฐุง ู…ุด ู…ุชุณุงูˆูŠุชูŠู†
852
+
853
+ 214
854
+ 00:17:18,770 --> 00:17:22,250
855
+ ู‡ู†ุง ู„ุฃ ู…ุด ุงู„ุญุงู„ ูู‡ุฐู‡ symmetric ู‡ุฐู‡ symmetric
856
+
857
+ 215
858
+ 00:17:22,250 --> 00:17:25,970
859
+ ุงู„ุฃุตุบุฑ ู…ู† ุฃุจุฏุง ูˆู„ุง ูŠู…ูƒู† ุชูƒูˆู† symmetricูˆู„ุง ูŠู…ูƒู†
860
+
861
+ 216
862
+ 00:17:25,970 --> 00:17:30,550
863
+ ุชูƒูˆู† symmetric ุทูŠุจ is married to .. symmetric .. X
864
+
865
+ 217
866
+ 00:17:30,550 --> 00:17:34,050
867
+ is married to Y ู…ุนู†ุงู‡ to Y is married to X ุดูŠูƒ
868
+
869
+ 218
870
+ 00:17:34,050 --> 00:17:39,010
871
+ ุชู…ุงู… ููŠ ุงู„ู…ู‚ุงุจู„ likes ูƒู†ุง ู„ุณู‡ ุจู†ุชูƒู„ู… ู…ุด ู…ุนู†ุงู‡ X
872
+
873
+ 219
874
+ 00:17:39,010 --> 00:17:43,090
875
+ likes Y ู…ุนู†ุงู‡ to Y likes X ู…ุด ุดูŠูƒ ุจุงู„ุธุจุท ู…ุด
876
+
877
+ 220
878
+ 00:17:43,090 --> 00:17:46,950
879
+ ุจุงู„ุถุฑูˆุฑูŠ ุงู†ุช ุจุชุญุจ ุชุฏู‚ูŠ ุฒูŠ ู…ุง ุจู‚ูˆู„ู‡ ุฃุฒู…ูŠู„ูƒ ูˆ ุชุฏุฑุจ
880
+
881
+ 221
882
+ 00:17:46,950 --> 00:17:52,710
883
+ ุชุฏุฑุณ ู…ุนุงู‡ ุจุณ ู‡ูˆ ู…ุด ุทุงูŠุฌูƒุจุชุตูŠุฑุŸ ุจุชุตูŠุฑ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ
884
+
885
+ 222
886
+ 00:17:52,710 --> 00:17:56,270
887
+ ูŠู‚ูˆู„ูƒ ูŠุนู†ูŠ ููŠ ูˆุฌู‡ูƒ ุจุณ ุงู„ู‚ุตุฏ ุฃู†ู‡ ู…ุด ุงู„ likes ู…ุด
888
+
889
+ 223
890
+ 00:17:56,270 --> 00:18:00,250
891
+ ุจุงู„ุถุฑูˆุฑูŠ ุชูƒูˆู† ู…ุด ุณุงูˆูŠ ู„ู„ inverse ุชุจุญุซ ู‡ูŠ ู…ุด
892
+
893
+ 224
894
+ 00:18:00,250 --> 00:18:04,470
895
+ symmetric ู‡ู†ุง ู…ุด symmetric ุทูŠุจ ุงู„ binary relation
896
+
897
+ 225
898
+ 00:18:04,470 --> 00:18:11,270
899
+ R ุจู‚ุฏุฑ ุฃุณู…ูŠู‡ุง antisymmetric antisymmetric ุฅุฐุง A ูˆ
900
+
901
+ 226
902
+ 00:18:11,270 --> 00:18:20,740
903
+ B ูŠู†ุชู…ูˆุง ู„ R ูŠู‚ูˆุฏู†ุง ุฃู†ู‡ B ูˆ A ู„ุง ูŠู†ุชู…ูˆุง ู„ R ุฅู„ุงุฅุฐุง
904
+
905
+ 227
906
+ 00:18:20,740 --> 00:18:26,580
907
+ ูƒุงู†ูˆุง ู…ุชุณุงูˆูŠุชูŠู† Reflexive ุฅู„ุง ุฅุฐุง ูƒุงู† A ูˆB ุจูŠุณูˆูˆุง
908
+
909
+ 228
910
+ 00:18:26,580 --> 00:18:33,500
911
+ ุจุนุถ ู„ุฃู†ู‡ ู…ุด ู‡ู„ุงุฌูŠ A ูˆB .. A ูˆA ูˆ ู‡ู„ุงุฌูŠู‡ุง ูƒู…ุงู† ู…ุฑุฉ
912
+
913
+ 229
914
+ 00:18:33,500 --> 00:18:37,520
915
+ A ูˆA ู‡ูŠ ู†ูุณู‡ุง ุชูƒุฑุฑ ู†ูุณู‡ุง ูู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู„ูŠ
916
+
917
+ 230
918
+ 00:18:37,520 --> 00:18:43,880
919
+ ู…ู…ูƒู† ุชุดูˆูู‡ุง ุทูŠุจ ุงู„ุฃุตุบุฑ ู…ู† Antisymmetric ู„ุฃู†ู‡ ู„ุง
920
+
921
+ 231
922
+ 00:18:43,880 --> 00:18:49,960
923
+ ุชุณุงูˆูŠ ู‡ูŠู‡ุง ุงุญู†ุง ู‚ู„ู†ุง ู„ุง ุชู†ุชู…ูŠุตุญ ู…ุงุดูŠ ู‡ูŠ ู„ุง ุชู†ุชู…ูŠุŒ
924
+
925
+ 232
926
+ 00:18:49,960 --> 00:18:54,580
927
+ ุงู„ู„ูŠ ุฃุตุบุฑ ู…ู†ูƒ ุฃู†ุช ุชู†ุชู…ูŠุŒ ุนูƒุณู‡ุง ู„ุง ูŠู†ุชู…ูŠุŒ ูƒูˆูŠุณ
928
+
929
+ 233
930
+ 00:18:54,580 --> 00:19:00,040
931
+ likes ู‡ุฐูŠ ุฎุงุฑุฌ ุฃูŠ ู…ู‚ู„ูˆู ุงู„ likesุŒ ุงู„ likes ุฎุงุฑุฌ ุฃูŠ
932
+
933
+ 234
934
+ 00:19:00,040 --> 00:19:04,760
935
+ ู…ู‚ู„ูˆูุŒ ู…ุด ู‡ุชู„ุงู‚ูŠู‡ุง ุจุชุตุจุท ู…ุน ุฃูŠ relation
936
+
937
+ 235
938
+ 00:19:09,760 --> 00:19:13,180
939
+ Antisymmetric ุทุจุนุง ุงูŠ ู†ุนู… ุจุงู„ุธุจุท ู„ุฃู†ู‡ ู…ู…ูƒู† ู…ุน
940
+
941
+ 236
942
+ 00:19:13,180 --> 00:19:17,860
943
+ ู†ูุณู‡ุง ุจู…ุดูŠ ุงู„ุญุงู„ ูƒู„ุงู…ูƒ ุตุญูŠุญ ุทูŠุจ ู„ู…ุง ู†ู‚ูˆู„ ุงู„ุงู† ู†ุนูŠุฏ
944
+
945
+ 237
946
+ 00:19:17,860 --> 00:19:21,120
947
+ ุงู„ุชุนุฑูŠูุงุช ุงู„ุชู„ุงุชุฉ ูˆ ู†ุนุฑู ุงู„ asymmetric ู…ุนู‡ุง ู‚ูˆู„ู†ุง
948
+
949
+ 238
950
+ 00:19:21,120 --> 00:19:28,300
951
+ symmetric ุฅุฐุง ูƒุงู†ุช B ูˆ A ุชู†ุชู…ูŠ ู„ R ูุฅุฐุง A ูˆ B ุจุฑุถู‡
952
+
953
+ 239
954
+ 00:19:28,300 --> 00:19:32,220
955
+ ุจุชูƒูˆู† ุชู†ุชู…ูŠ ู„ ู†ูุณ ุงู„ R ูƒูˆูŠุณ ุฎู„ุตู†ุง ู‡ุฐู‡ ุนุงุฑููŠู† ู…ุงููŠุด
956
+
957
+ 240
958
+ 00:19:32,220 --> 00:19:35,380
959
+ ู…ุดูƒู„ุฉ ููŠู‡ุง ุงู„ antisymmetric ู‚ูˆู„ู†ุงู‡ุง ุจุฑุถู‡ ู†ูุณ
960
+
961
+ 241
962
+ 00:19:35,380 --> 00:19:43,040
963
+ ุงู„ูƒู„ุงู…A ุชุณุงูˆูŠ B whenever A ูˆB ุชู†ุชู…ูŠ ู„R and B ูˆA
964
+
965
+ 242
966
+ 00:19:43,040 --> 00:19:48,720
967
+ ุชู†ุชู…ูŠ ู„R ุฅุฐุง ุฅูŠุด ูŠุนู†ูŠ ุงู„ whenever ู‡ุฐู‡ ู„ูˆ ุงู†ุชูˆุง
968
+
969
+ 243
970
+ 00:19:48,720 --> 00:19:54,000
971
+ ุฐูƒุฑุชูˆุง ุฌุฒุฆูŠุฉ ุงู„ implication ูƒุงู†ุช ุจุงู„ุนูƒุณ ูƒู†ุง
972
+
973
+ 244
974
+ 00:19:54,000 --> 00:19:59,530
975
+ ุจู†ู‚ูˆู„ู‡ุง Q whenever BูŠุนู†ูŠ ุฅุฐุง ูƒุงู† .. ุฅุฐุง ูƒุงู† ..
976
+
977
+ 245
978
+ 00:19:59,530 --> 00:20:02,590
979
+ ูŠุนู†ูŠ ูƒุฃู†ู†ูŠ ุจุฏูŠ ุฃุนูŠุฏ ุตุบุฑุชู‡ุง ุฅุฐุง ูƒุงู† a ูˆ b ุชู†ุชู…ูŠ ู„ r
980
+
981
+ 246
982
+ 00:20:02,590 --> 00:20:07,990
983
+ ูˆ b ูˆ a ุชู†ุชู…ูŠ ู„ r ุฅุฐุง a ูˆ b ู„ุงุฒู… ูŠุณุงูˆูŠ ุจุนุถ ุงู„
984
+
985
+ 247
986
+ 00:20:07,990 --> 00:20:11,850
987
+ symmetric ู…ุด ู„ุงุฒู… ูŠุณุงูˆูŠ ุจุนุถ ุงู„ a ูˆ ุงู„ bุŸ ู„ุฃ ููŠ ุงู„
988
+
989
+ 248
990
+ 00:20:11,850 --> 00:20:14,730
991
+ symmetric ู„ุงุฒู… ุฏุงูŠู…ุง ูŠุณุงูˆูŠ ุจุนุถ ุจุณ ุฃู…ุง .. ู…ุด ุฃูƒุจุฑ
992
+
993
+ 249
994
+ 00:20:14,730 --> 00:20:20,570
995
+ .. ู‡ุฐุง symmetric ุงู„ a ูˆ ุงู„ b ู…ุด ุถุฑูˆุฑูŠ ูŠุณุงูˆูŠ ุจุนุถ ู„ุฃ
996
+
997
+ 250
998
+ 00:20:20,570 --> 00:20:23,710
999
+ ู…ู…ูƒู† ูŠุณุงูˆูŠ ุจุนุถู…ู‡ูˆ ู„ูˆ ุณูˆุง ุจุนุถ ู‡ุชูƒูˆู† .. ู‡ุชูƒูˆู† ..
1000
+
1001
+ 251
1002
+ 00:20:23,710 --> 00:20:29,190
1003
+ ู„ูŠู‡ุŸ ุทุจ ู‡ูŠ .. ู„ุฃ ุนููˆุงู† ู‡ูŠ .. ู‡ุฐูŠ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ุชู†ุชู…ูŠ
1004
+
1005
+ 252
1006
+ 00:20:29,190 --> 00:20:34,450
1007
+ ู„ R ุทูŠุจ ูˆ ุฅูŠุด ุนูƒุณู‡ุงุŸ ุจุฑุถู‡ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ูˆ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ
1008
+
1009
+ 253
1010
+ 00:20:34,450 --> 00:20:37,690
1011
+ ุฃุตู„ุง ูู‡ูŠ ุจุชู†ุชู…ูŠ ุจุฑุถู‡ ู„ R ุจุณ ู‡ูˆ ููŠ ุงู„ุนูƒุณ ู…ุชุฑูƒ ุฌุงู„ูƒ
1012
+
1013
+ 254
1014
+ 00:20:37,690 --> 00:20:40,410
1015
+ ุฅู†ู‡ ู…ุงุนุทูŠูƒ ุดุฑุท ุฌุงู„ูƒ ุงู„ู„ูŠ ู„ุงุฒู… ุงู„ A ูˆ ุงู„ B ุณูˆุง ุจุนุถ
1016
+
1017
+ 255
1018
+ 00:20:40,410 --> 00:20:44,930
1019
+ ุทูŠุจ ุนุงุฑู ุงุญู†ุง ุงู„ implication ุฏุงูŠู…ุง ุจุญุทู„ูƒูˆุง ุฑุณู…ุชู‡ุง
1020
+
1021
+ 256
1022
+ 00:20:44,930 --> 00:20:48,730
1023
+ ู„ุฃู†ู‡ ุจูŠุชู‡ุง ุชุฑูƒูŠุฒ ู„ุนู†ุฏูŠ ุงู„ุขู† ูƒู„ ู…ุฑุฉ ุจู†ุฑูˆุญ ู„ู„
1024
+
1025
+ 257
1026
+ 00:20:48,730 --> 00:20:55,360
1027
+ implicationุจู†ุฑุฌุน ู„ู‡ุง ู„ุฃู†ูƒ ุจุฏูƒ ุชูุญุตู‡ุง ูƒูˆูŠุณ ู‡ุฐู‡ ู…ุด
1028
+
1029
+ 258
1030
+ 00:20:55,360 --> 00:20:57,880
1031
+ ุฒูŠ ู…ุง ุงู†ุช ู…ุชุฎูŠู„ู‡ุง ุงู†ู‡ ุงุฐุง ุตุงุฑ ูƒุฐุง ุตุงุฑ ูƒุฐุง ูˆ ุฎู„ุงุต
1032
+
1033
+ 259
1034
+ 00:20:57,880 --> 00:21:04,500
1035
+ ู‡ุฐู‡ ูƒุฃู†ู‡ ุจูŠู‚ูˆู„ูƒ A ู‡ุชูƒูˆู† ุจุชุณุงูˆูŠ ุฏุงุฆู…ุง ุจูŠู‡ ููŠ ุญุงู„ุฉ
1036
+
1037
+ 260
1038
+ 00:21:04,500 --> 00:21:16,980
1039
+ ุงู†ู‡ ู‡ูŠ ุนูƒุณ ู†ูุณู‡ุง ุจุณ otherwise ู„ุฃ otherwise ู„ุฃ ุงู‡
1040
+
1041
+ 261
1042
+ 00:21:19,230 --> 00:21:24,130
1043
+ ุตุญูŠุญ ุทูŠุจ ู‡ุฏูŠ .. ู„ุฃ ู‡ุฏูŠูƒ symmetric .. ู‡ุฏูŠูƒ
1044
+
1045
+ 262
1046
+ 00:21:24,130 --> 00:21:28,570
1047
+ symmetric ู…ุงููŠุด ู…ุดูƒู„ุฉ ู…ุด ู‡ุชูŠุฌูŠ ุฃ symmetric ุนููˆุง
1048
+
1049
+ 263
1050
+ 00:21:28,570 --> 00:21:31,330
1051
+ ุงุจุชูŠุฌูŠ ุฃsymetric .. ุงุจุชูŠุฌูŠ ุฃsymetric ู„ุฃู†ู‡ ู„ุง ูŠู…ูƒู†
1052
+
1053
+ 264
1054
+ 00:21:31,330 --> 00:21:35,210
1055
+ ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุฅู„ุง ููŠ ุญุงู„ุฉ ุฅู† ู‡ู… ุจูŠุณุงูˆูŠ ุจุนุถ ุจุณ .. ู„ุฃ
1056
+
1057
+ 265
1058
+ 00:21:35,210 --> 00:21:37,450
1059
+ ู…ุด ู‡ุชูŠุฌูŠ ุฃู†ุช symmetric .. ุงุจุชูŠุฌูŠุด ุฃู†ุช symmetric
1060
+
1061
+ 266
1062
+ 00:21:37,450 --> 00:21:41,730
1063
+ ูุฅุญู†ุง ุชูˆ ูƒู†ุง ู…ุนุงุฑููŠู†ู‡ุง ุฅูŠุดุŸ ูˆูŠู†ู‡ุงุŸ symmetric
1064
+
1065
+ 267
1066
+ 00:21:43,790 --> 00:21:46,790
1067
+ Symmetric ู‡ูŠ ูุนู„ุง Symmetric ุฅูŠุด ุงู„ู„ูŠ ุฏุฎู„ู‡ุง ููŠ ุงู„
1068
+
1069
+ 268
1070
+ 00:21:46,790 --> 00:21:49,010
1071
+ Anti-Symmetric ุนุดุงู† ุชููˆุถ ููŠ ูˆุฌู‡ุฉ ู†ุธุฑูƒุŸ ุฅูŠุด ุงู„ู„ูŠ
1072
+
1073
+ 269
1074
+ 00:21:49,010 --> 00:21:53,330
1075
+ ุฎู„ุงูƒ ุชุฑูˆุญ ู„ู„ Anti-Symmetric ููŠู‡ุงุŸ
1076
+
1077
+ 270
1078
+ 00:21:53,330 --> 00:21:58,650
1079
+ ู…ุงุดูŠ ุจุณ ุงู„ Asymmetric ู…ุนู†ุงุชู‡ ุฃู†ุช ุจุฏูƒ ุชูุชุฑุถ ุฃู† ุงู„
1080
+
1081
+ 271
1082
+ 00:21:58,650 --> 00:22:07,900
1083
+ relation ุชุณู…ุญ ุฃู† X is married to Y ูƒูˆูŠุณูˆ Y ู„ูŠุณุช
1084
+
1085
+ 272
1086
+ 00:22:07,900 --> 00:22:12,840
1087
+ married to X ู‡ู„ ุจุชุณู…ุญุŸ ู…ุด ู‡ุชุธุจุท ูุฅุฐุง ู…ุง ุชุฌูŠุด ุงู†ุช
1088
+
1089
+ 273
1090
+ 00:22:12,840 --> 00:22:16,280
1091
+ symmetric ู‡ูˆ ุฌุฒุก ูŠุนู†ูŠ ู…ุด ู‡ูŠูƒูˆู† ู…ู†ุทู‚ ุฃู† X is
1092
+
1093
+ 274
1094
+ 00:22:16,280 --> 00:22:21,520
1095
+ married to X ู…ุซู„ุง ุงู‡ ู…ุงุดูŠ ุงู‡ ุงู†ุช ุงุชูƒู„ู…ุช ููŠ ุฌุซุฉ
1096
+
1097
+ 275
1098
+ 00:22:21,520 --> 00:22:27,060
1099
+ ุชุงู†ูŠุฉ ุชู…ุงู… ุทูŠุจ
1100
+
1101
+ 276
1102
+ 00:22:27,060 --> 00:22:31,860
1103
+ ุงู„ .. ูู‡ู†ุง ู‡ุฐู‡ ู…ุนู†ุงู‡ุง ุจูƒู„ ุจุณุงุทุฉ ุนุดุงู† ู†ุญูˆู‘ู„ู‡ุง
1104
+
1105
+ 277
1106
+ 00:22:31,860 --> 00:22:39,200
1107
+ ุงู„ูˆูŠู†ูŠูุฑ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ุจุฏู‡ ุฃุฌูŠุจ ู‡ุฏู ุงู„ุฃูˆู„A ูˆ B ุชู†ุชู…ูŠ
1108
+
1109
+ 278
1110
+ 00:22:39,200 --> 00:22:44,920
1111
+ ู„ R and B ูˆ A ุชู†ุชู…ูŠ ู„ R ู‡ุฐุง ุจูŠุถู…ู† ู„ุฅุฐุง ุญุฏุซ ู‡ุฐุง
1112
+
1113
+ 279
1114
+ 00:22:44,920 --> 00:22:49,420
1115
+ ุงู„ูƒู„ุงู… ุจูŠุถู…ู† ู„ู…ุนู†ุงุชู‡ A ูˆ B ุจูŠุณูˆุง ุจุนุถ otherwise ู„ุฃ
1116
+
1117
+ 280
1118
+ 00:22:49,420 --> 00:22:54,940
1119
+ otherwise ู…ุธุจูˆุทุด ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุงุญู†ุง ู†ุชูƒู„ู… ููŠู‡ุง
1120
+
1121
+ 281
1122
+ 00:22:54,940 --> 00:23:00,720
1123
+ ุจู…ุนู†ู‰ ุงู†ู‡ ู‡ุฏูˆู„ุฉ ู…ู…ูƒู† ุนูƒุณู‡ู… ุจูŠุณูˆุง ุจุนุถ ุงู‡ ู…ู…ูƒู† ูŠุณูˆุง
1124
+
1125
+ 282
1126
+ 00:23:00,720 --> 00:23:06,180
1127
+ ุจุนุถ ููŠ ุญุงู„ุฉ ุงู†ู‡ ู‡ุงูŠู‡ู…ุฅุฐุง ุบูŠุฑ ู…ูˆุฌูˆุฏูŠู† ุจูŠู…ุดูŠ ุงู„ุญุงู„
1128
+
1129
+ 283
1130
+ 00:23:06,180 --> 00:23:10,240
1131
+ ุทุจุนุง ู…ุน ุงู„ุฃู…ุซู„ ุฃูƒูŠุฏ ู‡ุชูˆุถุญ ู…ุนุงูƒู… ุฃูƒุชุฑ ู‡ู†ุง ู‡ุฐู‡
1132
+
1133
+ 284
1134
+ 00:23:10,240 --> 00:23:17,800
1135
+ ู…ุงูƒู†ุชุด ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ููŠู‡ุง ู‡ุฐู‡ ุจู†ุญุทู‡ุง ุฅูŠุด ุฅุฐุง ูˆ ุฅุฐุง
1136
+
1137
+ 285
1138
+ 00:23:17,800 --> 00:23:22,200
1139
+ ูู‚ุท ุตุญูŠุญ ู„ูŠุด ู„ุฃู† ูุนู„ุง ุฅุฐุง A ูˆ B ุชู†ุชู…ูŠ ู„ R
1140
+
1141
+ 286
1142
+ 00:23:22,200 --> 00:23:26,380
1143
+ ูุจุงู„ุถุฑูˆุฑุฉ ู„ุงุฒู… ุชูƒูˆู† B ูˆ A ุชู†ุชู…ูŠ ู„ R ุทุจ ุงู„ุนูƒุณ ุฅุฐุง B
1144
+
1145
+ 287
1146
+ 00:23:26,380 --> 00:23:31,950
1147
+ ูˆ A ุชู†ุชู…ูŠ ู„ R ุชู…ุงู… ู†ู…ุณูƒ ุงู„ุชุงู†ูŠุฉุงู„ูˆุงุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉ ู‡ู†ุง
1148
+
1149
+ 288
1150
+ 00:23:31,950 --> 00:23:41,150
1151
+ ุฅุฐุง A ูˆB ุชู†ุชู…ูŠ ู„ R ูˆB ูˆA ุชู†ุชู…ูŠ ู„ R ู…ุนู†ุงุชู‡ ู‡ูŠูƒ
1152
+
1153
+ 289
1154
+ 00:23:41,150 --> 00:23:43,870
1155
+ ุงู„ู…ุจุฏุฃูŠูŠู† ุฏุฎู„ู†ุง ููŠ Symmetric ู‡ูŠูƒ ุงู„ู…ุจุฏุฃูŠูŠู† ุฏุฎู„ู†ุง
1156
+
1157
+ 290
1158
+ 00:23:43,870 --> 00:23:47,110
1159
+ ููŠ Symmetric ุตุญุŸ ู„ูƒู† ูƒุฃู†ู‡ ุจุฏูŠ ุฃู‚ูˆู„ูƒ ุงู„ู€ Symmetric
1160
+
1161
+ 291
1162
+ 00:23:47,110 --> 00:23:52,250
1163
+ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ู‚ุจูˆู„ุฉ ุฅุฐุง ูƒุงู†ูˆุง ุจูŠุณูˆุง ุจุนุถ ุฅุฐุง ูƒุงู†ูˆุง
1164
+
1165
+ 292
1166
+ 00:23:52,250 --> 00:23:57,610
1167
+ ุจูŠุณูˆุง ุจุนุถ ุชู…ุงู… ูุชุนุงู„ู‰ ู†ุดูˆู ุฅูŠุด ุงู„ุญุงู„ุฉ ุงู„ูˆุญูŠุฏุฉ ู„ู„
1168
+
1169
+ 293
1170
+ 00:23:57,610 --> 00:24:04,320
1171
+ false ู‡ู†ุง ู…ุซู„ุงุนู†ุฏูƒ ุฃู† ุชูƒูˆู† ุงู„ุฃูˆู„ู‰ true ูˆุงู„ุชุงู†ูŠุฉ
1172
+
1173
+ 294
1174
+ 00:24:04,320 --> 00:24:13,460
1175
+ false ุจู…ุนู†ู‰ ุฃู† a ูˆb ุชู†ุชู…ูŠ ู„ r ูˆb ูˆa ุชู†ุชู…ูŠ ู„ r ูˆ ู‡ู…
1176
+
1177
+ 295
1178
+ 00:24:13,460 --> 00:24:17,780
1179
+ ู…ุฎุชู„ููŠู† ู‡ู†ุง ุญุชุตูˆุฑ symmetric ู…ุด antisymmetric ูุฅุฐุง
1180
+
1181
+ 296
1182
+ 00:24:17,780 --> 00:24:24,140
1183
+ ู‡ู†ุง ู…ุด ู‡ุชุธุจุทู…ุด ู‡ู†ู‚ูˆู„ ุนู„ูŠู‡ุง Anti-Symmetric ุจู…ุนู†ู‰
1184
+
1185
+ 297
1186
+ 00:24:24,140 --> 00:24:29,680
1187
+ ู…ุถุงุฏ ู„ู„ู€ Symmetric ุทุจุนุง ุงู„ุฃุฎูŠุฑุฉ ู…ุด ููŠู‡ุง ู…ุดูƒู„ุฉ ู„ูŠุดุŸ
1188
+
1189
+ 298
1190
+ 00:24:29,680 --> 00:24:32,960
1191
+ ู„ุฃู† ุงู„ุฃุฎูŠุฑุฉ ุฅุฐุง ูˆุฌุฏุช A ูˆ B ุถู…ู† ุงู„ relation
1192
+
1193
+ 299
1194
+ 00:24:32,960 --> 00:24:36,360
1195
+ ูุงู„ู…ูุฑูˆุถ ุฃู† B ูˆ A ู„ุง ุชูƒูˆู† ุถู…ู† ุงู„ relation ูู…ุณู…ูŠู‡ุง
1196
+
1197
+ 300
1198
+ 00:24:36,360 --> 00:24:41,240
1199
+ Asymmetric ู‡ุฐู‡ ู…ุจุงุดุฑุฉ ุนูƒุณ ู‡ุฐู‡ ุนูƒุณ ู‡ุฐู‡ ู…ุจุงุดุฑุฉ ู…ุด
1200
+
1201
+ 301
1202
+ 00:24:41,240 --> 00:24:47,460
1203
+ ู…ุดูƒู„ุฉ ุฃู…ุซู„ุฉ ุนุดุงู† ุชูˆุถุญ ู…ุนู†ุงู‡ุงูŠ ุนู†ุฏูƒ ู…ุฌู…ูˆุนุฉ
1204
+
1205
+ 302
1206
+ 00:24:47,460 --> 00:24:53,520
1207
+ Relationsู‡ูŠ ุนู†ุฏูƒ ูˆุงุญุฏ ูˆ ูˆุงุญุฏ ูˆ ุนู†ุฏูƒ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูˆ
1208
+
1209
+ 303
1210
+ 00:24:53,520 --> 00:24:57,940
1211
+ ุนูƒุณู‡ุง ุงุชู†ูŠู† ูˆ ูˆุงุญุฏ ุทูŠุจ
1212
+
1213
+ 304
1214
+ 00:24:57,940 --> 00:25:03,520
1215
+ ุนู†ุฏูƒ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ ุงุฑุจุน ูˆ ุงุฑุจุน symmetric ูุฅุฐุง ู‡ุฐู‡
1216
+
1217
+ 305
1218
+ 00:25:03,520 --> 00:25:09,900
1219
+ symmetric ู…ู…ุชุงุฒ ุทุจ ุจู†ูุน ู†ู‚ูˆู„ ุงู‡ symmetricุŸ ู„ูŠุดุŸ ุงู‡
1220
+
1221
+ 306
1222
+ 00:25:09,900 --> 00:25:16,560
1223
+ ุนููˆุง ุงู†ุช symmetric ู„ูŠุด ู…ุงุจู†ูุนุดุŸุจุงู„ุธุจุท ู…ุนู†ุงุชู‡ ุฃู†ู‡
1224
+
1225
+ 307
1226
+ 00:25:16,560 --> 00:25:23,920
1227
+ ูŠูˆุฌุฏ ุนู†ุตุฑ ูˆุนูƒุณู‡ ูˆ ู„ุง ูŠุณุงูˆูŠ ุจุนุถ ูุจุชู†ูุนุด
1228
+
1229
+ 308
1230
+ 00:25:23,920 --> 00:25:27,520
1231
+ ุฃู†ุช symmetric ูˆุฎู„ุงุต ู…ุฏุงู… ุฃู†ุง ู‚ู„ุช symmetric ูู‡ูŠ
1232
+
1233
+ 309
1234
+ 00:25:27,520 --> 00:25:31,140
1235
+ automatically ู„ูŠุณุช asymmetric ูู‡ุฐู‡ symmetric ูˆ ุจุณ
1236
+
1237
+ 310
1238
+ 00:25:31,140 --> 00:25:35,580
1239
+ symmetric ุทุจ ุงู„ุชุงู†ูŠุฉ ู‡ูŠู‡ุง
1240
+
1241
+ 311
1242
+ 00:25:35,580 --> 00:25:39,260
1243
+ ุงู„ุชุงู†ูŠุฉ ุชุตุจุช ุนู„ู‰ ุงู„ุชู†ุชูŠู† ุงู„ุชุงู†ูŠุฉ ู…ุซู„ุง ู‡ูŠ ู…ุธุจูˆุทุฉ
1244
+
1245
+ 312
1246
+ 00:25:39,260 --> 00:25:43,920
1247
+ symmetric ูˆ antisymmetric ุจุฑุถู‡Symmetric ูˆ Anti
1248
+
1249
+ 313
1250
+ 00:25:43,920 --> 00:25:49,360
1251
+ -Symmetric ุงู„ุชุงู„ุชุฉ ู…ุจุฏุฆูŠ ุฃุณูŠู…ุชุฑูŠูƒ ู‡ู„ ู‡ูŠ Anti
1252
+
1253
+ 314
1254
+ 00:25:49,360 --> 00:25:57,660
1255
+ -Symmetric ุงู„ุชุงู„ุชุฉ
1256
+
1257
+ 315
1258
+ 00:25:57,660 --> 00:26:04,540
1259
+ ู‡ู‰ ุงู„ุชุงู„ุชุฉ ู‡ู‰ ุงู„ูˆุงุญุฏ ุงุชู†ูŠู† ู‡ู‰ ุงู„ุชุงู„ุชุฉ ุณูŠู…ุชุฑูŠูƒ
1260
+
1261
+ 316
1262
+ 00:26:04,540 --> 00:26:07,380
1263
+ ูุด ูˆู„ุง ูˆุงุญุฏุฉ ุณูŠู…ุชุฑูŠูƒ ู„ู„ุชุงู†ูŠุฉ ูู‡ูŠ ุฃุณูŠู…ุชุฑูŠูƒ ุฃู‡
1264
+
1265
+ 317
1266
+ 00:26:07,380 --> 00:26:11,100
1267
+ ุฃุณูŠู…ุชุฑูŠูƒ ุฎู„ุตู†ุง ู…ู† ุงู„ุฌุฒุฆูŠุฉ ู‡ุฐู‡ Anti-Symmetric
1268
+
1269
+ 318
1270
+ 00:26:12,020 --> 00:26:21,660
1271
+ Antisymmetric ุจู…ุนู†ู‰ ู„ุง ูŠูˆุฌุฏ ุฃูŠ ุนู†ุตุฑ ูˆุนูƒุณู‡ ุจุงุณุชุซู†ุงุก
1272
+
1273
+ 319
1274
+ 00:26:21,660 --> 00:26:25,520
1275
+ ุญุชู‰ ู„ูˆ ู…ุชุดุงุจู‡ูŠู† ูƒู…ุงู† ุญุชู‰ ู„ูˆ ู…ุชุดุงุจู‡ูŠู† ู…ุด ู…ูˆุฌูˆุฏูŠู†
1276
+
1277
+ 320
1278
+ 00:26:25,520 --> 00:26:32,940
1279
+ ุจุงู„ุธุจุท ูู‡ู†ุง ู‡ุฐูŠ ุจุชูŠุฌูŠ Antisymmetric ูˆ Asymmetric
1280
+
1281
+ 321
1282
+ 00:26:32,940 --> 00:26:34,680
1283
+ ุงู„ุฃุฎูŠุฑุฉ
1284
+
1285
+ 322
1286
+ 00:26:44,570 --> 00:26:50,010
1287
+ ุทูŠุจ ู…ุจุฏุฆูŠุง symmetric ู„ุฃ ู„ูŠุด ู…ุญุชุงุฌุฉ ูƒุงู†ุช ุฃุฑุจุนุฉ ุฃูˆ
1288
+
1289
+ 323
1290
+ 00:26:50,010 --> 00:26:54,350
1291
+ ูˆุงุญุฏ ู…ุด ู…ูˆุฌูˆุฏุฉ ูุฅุฐุง ุฎู„ุตู†ุง ู…ู†ู‡ุง ุทูŠุจ asymmetric
1292
+
1293
+ 324
1294
+ 00:26:54,350 --> 00:27:01,350
1295
+ asymmetric ุชู„ุงุชุฉ
1296
+
1297
+ 325
1298
+ 00:27:01,350 --> 00:27:05,380
1299
+ ุฃูˆ ุชู„ุงุชุฉ ุฃุฑุจุนุฉ ุฃูˆ ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ุฃูˆ ุชู„ุงุชุฉุทูŠุจ ููŠ
1300
+
1301
+ 326
1302
+ 00:27:05,380 --> 00:27:08,440
1303
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุชุถู„ ุงู„ู€ Antisymmetric ุงู„ู„ูŠ ุจุฏู†ุง ู†ูุญุตู‡ุง
1304
+
1305
+ 327
1306
+ 00:27:08,440 --> 00:27:12,660
1307
+ ุงู„ู€ Antisymmetric ู…ุจุฏุฆูŠุง ูุนู„ุง ุฅุฐุง ูƒุงู†ูˆุง ู…ุฎุชู„ููŠู† ู„ุง
1308
+
1309
+ 328
1310
+ 00:27:12,660 --> 00:27:17,000
1311
+ ูŠูˆุฌุฏ ู„ู‡ุง ุนูƒุณ ู…ุชุดุงุจู‡ูŠู† ู‡ูŠ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ู‚ุจูˆู„ุฉ ูู‡ู†ุง
1312
+
1313
+ 329
1314
+ 00:27:17,000 --> 00:27:22,220
1315
+ Antisymmetric ูˆ ุจุณ ู…ุถุญูƒุชุŸ
1316
+
1317
+ 330
1318
+ 00:27:22,220 --> 00:27:25,500
1319
+ ูุงู†ุช ู‡ู†ุง ุตุงุฑ ู†ุต ุจู†ุต ุจุนุถู‡ู… ู…ูˆุฌูˆุฏ ูˆ ุจุนุถู‡ู… ุบูŠุฑ ู…ูˆุฌูˆุฏ
1320
+
1321
+ 331
1322
+ 00:27:25,500 --> 00:27:28,540
1323
+ ูˆ ููŠ ู†ูุณ ุงู„ูˆุฌูˆุฏ ููŠู‡ ู„ุนูƒู† ุงู„ุนุงู„ู…ูŠู† ุนู„ู‰ ุงู„
1324
+
1325
+ 332
1326
+ 00:27:28,540 --> 00:27:30,260
1327
+ Asymmetric ุงู„ู„ูŠ ู‡ูŠ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุฃุฑุจุนุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ
1328
+
1329
+ 333
1330
+ 00:27:30,260 --> 00:27:36,850
1331
+ ุนูƒุณู‡ุง ู…ุด ู…ูˆุฌูˆุฏุฉ ุนูƒุณู‡ุง ุทูŠุจุงู†ุชุฌู„ ุดูˆูŠุฉ ุงู„ุนูŠุงุฑุฉ ุนู„ู‰ ุงู„
1332
+
1333
+ 334
1334
+ 00:27:36,850 --> 00:27:40,050
1335
+ relations ู†ุญูƒูŠ ู†ูƒู…ู„ ุงู„ู…ูˆุถูˆุน ุนู„ุดุงู† ุนู„ู‰ ุงู„ relations
1336
+
1337
+ 335
1338
+ 00:27:40,050 --> 00:27:41,930
1339
+ ู‡ุงู„ูˆู‚ุช ุจุฏู†ุง ู†ุดูˆู ู…ูŠู† ู…ู†ู‡ู… symmetric ูˆู…ูŠู†
1340
+
1341
+ 336
1342
+ 00:27:41,930 --> 00:27:49,270
1343
+ antisymmetric ุนู†ุฏูŠ ุงู„ R1 ู‡ูŠ ูƒู„ relation ุจูŠู† A ูˆB
1344
+
1345
+ 337
1346
+ 00:27:49,270 --> 00:27:57,310
1347
+ ุจุดุฑุท ุฃู† A ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ B ู…ุจุฏุฆูŠุงู‹
1348
+
1349
+ 338
1350
+ 00:27:57,310 --> 00:28:03,590
1351
+ antisymmetricู„ูŠุดุŸ ู„ุฃู†ู‡ ู‡ุชูƒูˆู† A ูˆB ุฅุฐุง ู…ุฎุชู„ููŠู† ู…ุด
1352
+
1353
+ 339
1354
+ 00:28:03,590 --> 00:28:09,170
1355
+ ู‡ูŠูƒูˆู†ูˆุง ู…ูˆุฌูˆุฏูŠู† ุนูƒุณู‡ู… ุฅุฐุง ู…ุฎุชู„ููŠู† ุจู…ุนู†ู‰ ุฅุฐุง ูƒุงู†ุช A
1356
+
1357
+ 340
1358
+ 00:28:09,170 --> 00:28:18,330
1359
+ ูˆB ู„ุง ูŠุณูˆูˆุง ุจุนุถ ูู‡ูŠ ู„ูŠุณุช symmetric A ู„ุง ุชุณุงูˆูŠ B
1360
+
1361
+ 341
1362
+ 00:28:18,330 --> 00:28:23,350
1363
+ ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ A ุฃุตุบุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ B B ุฃุตุบุฑ ู…ู† ุฃูˆ
1364
+
1365
+ 342
1366
+ 00:28:23,350 --> 00:28:26,030
1367
+ ุชุณุงูˆูŠ A ู„ุฃ
1368
+
1369
+ 343
1370
+ 00:28:28,780 --> 00:28:35,940
1371
+ ุทูŠุจ ุฃู…ุง ุฅุฐุง ุจูŠุณุงูˆูˆุง ุจุนุถ ูุจู‚ุฏุฑ
1372
+
1373
+ 344
1374
+ 00:28:35,940 --> 00:28:40,400
1375
+ ุฃู‚ูˆู„ ุฃู† a ุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ b ูˆ b ุฃุตุบุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ
1376
+
1377
+ 345
1378
+ 00:28:40,400 --> 00:28:46,320
1379
+ a ู„ุฅุชู†ูŠู† ุงู„ู…ูˆุฌูˆุฏูŠู† ูุฅุฐุง antisymmetric ูุฅุฐุง ู‡ุชูƒูˆู†
1380
+
1381
+ 346
1382
+ 00:28:46,320 --> 00:28:53,200
1383
+ ู…ู†ุงุณุจุฉ ุนู†ุฏูƒ ุฃู† ู‡ุชูƒูˆู† ู‡ู†ุง antisymmetric ุทูŠุจ ุฅูŠุด
1384
+
1385
+ 347
1386
+ 00:28:53,200 --> 00:28:58,760
1387
+ ูƒู…ุงู† ุนู†ุฏู†ุงู„ูŠุด ู‡ุฏู‰ ุทุงู„ุนูŠู† ู„ููˆู‚ ุทุงู„ุน ูƒุชูŠุฑ ููˆู‚ุŸ ุทูŠุจ
1388
+
1389
+ 348
1390
+ 00:28:58,760 --> 00:29:08,120
1391
+ ุงู„ุชุงู†ูŠุฉ A ุฃูƒุจุฑ ู…ู† B Antisymmetric
1392
+
1393
+ 349
1394
+ 00:29:08,120 --> 00:29:13,160
1395
+ ุชุธุจุท ูˆ Asymmetric ุจุชุธุจุท ูุฅุฐุง Antisymmetric ูˆ
1396
+
1397
+ 350
1398
+ 00:29:13,160 --> 00:29:16,620
1399
+ Asymmetric Antisymmetric ูˆ ุฅูŠุด ูˆ Asymmetric ู…ุด
1400
+
1401
+ 351
1402
+ 00:29:16,620 --> 00:29:22,980
1403
+ ุนุงุฑู ุดูƒู„ู‡ ุจุตูŠุฑ shift ู…ุน ุงู„ .. ุทูŠุจ
1404
+
1405
+ 352
1406
+ 00:29:22,980 --> 00:29:31,730
1407
+ ุงู„ุชุงู„ุชุฉู„ุงุญุธ ุฅูŠุด ุฌุงูŠ ู„ูŠู‡ relation ุจูŠู† a ูˆ b ุจุญูŠุซ a
1408
+
1409
+ 353
1410
+ 00:29:31,730 --> 00:29:46,550
1411
+ ุชุณุงูˆูŠ b ุฃูˆ a ุชุณุงูˆูŠ minus b ุฅุฐุง
1412
+
1413
+ 354
1414
+ 00:29:46,550 --> 00:29:52,370
1415
+ a ุชุณุงูˆูŠ b or ุทุจุนุง or
1416
+
1417
+ 355
1418
+ 00:29:54,920 --> 00:30:02,000
1419
+ A ุชุณุงูˆูŠ minus B ุฅุฐุง ูƒุงู† ุจูŠุณุงูˆูŠ ุจุนุถ ูู‡ูŠ ู…ูˆุฌูˆุฏุฉ ูู‡ูŠ
1420
+
1421
+ 356
1422
+ 00:30:02,000 --> 00:30:05,740
1423
+ ู…ูˆุฌูˆุฏุฉ ุฅุฐุง ูƒุงู† ุจูŠุณุงูˆูŠ ุจุนุถ ุทูŠุจ ุฅุฐุง ูƒุงู† ู„ุง ูŠุณุงูˆูŠ ุจุนุถ
1424
+
1425
+ 357
1426
+ 00:30:05,740 --> 00:30:11,740
1427
+ ุจู…ุนู†ู‰ A ู„ุง ุชุณุงูˆูŠ B A ู„ุง ุชุณุงูˆูŠ B ุจุณ ู‡ูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ
1428
+
1429
+ 358
1430
+ 00:30:11,740 --> 00:30:20,040
1431
+ ู‡ุชูƒูˆู† ุจุชุณุงูˆูŠ ุณุงู„ุจ B ุทูŠุจ ู„ูˆ ุนูƒุณู†ุงู‡ู… ู‡ู„ ุณุงู„ุจ A ูŠุณุงูˆูŠ
1432
+
1433
+ 359
1434
+ 00:30:20,040 --> 00:30:20,260
1435
+ B
1436
+
1437
+ 360
1438
+ 00:30:24,680 --> 00:30:28,640
1439
+ ูƒุฃู† ุนูƒุณ ู†ู‚ู„ุŒ ุนุงุฑูุŸ ู‡ู‡ ุฅุฐุง ุฃู†ุช ุจุฏูƒ ุฅูŠู‡ุง ุจู†ูุณ
1440
+
1441
+ 361
1442
+ 00:30:28,640 --> 00:30:36,260
1443
+ ู…ุณู…ูŠุชู‡ุงุŒ ุฎู„ุงุต ุจูŠ ูˆ ุฃูŠู‡ุŸ ู…ุงุดูŠุŒ ู…ุด ุดูƒุŸ ู„ู…ุง ุชู‚ูˆู„ ู‡ู†ุง
1444
+
1445
+ 362
1446
+ 00:30:36,260 --> 00:30:44,650
1447
+ ุชู„ุงุชุฉ ูˆ ุณุงู„ุจ ุชู„ุงุชุฉ ูˆ ู„ุง ุชู‚ูˆู„ ุณุง๏ฟฝ๏ฟฝุจ ุชู„ุงุชุฉ ุชู„ุงุชุฉุชู…ุดูŠ
1448
+
1449
+ 363
1450
+ 00:30:44,650 --> 00:30:48,130
1451
+ ูุฅุฐุง ู‡ูŠ symmetric ุงู‡ symmetric ู‡ุฐู‡ ู‡ุชูƒูˆู† symmetric
1452
+
1453
+ 364
1454
+ 00:30:48,130 --> 00:30:55,650
1455
+ ุนู†ุฏูƒ ู‡ุฐู‡ ู‡ู†ุง ู‡ุชูƒูˆู† symmetric ุทูŠุจ ู…ูŠู† ุงู„ู„ูŠ ุจุนุฏู‡ุงุŸ
1456
+
1457
+ 365
1458
+ 00:30:55,650 --> 00:31:01,930
1459
+ ูˆุงุถุญุฉ ูƒุชูŠุฑ ุงู„ุดูŠูŠุฉ ูˆ
1460
+
1461
+ 366
1462
+ 00:31:01,930 --> 00:31:07,290
1463
+ ุฃู†ุช symmetric ูˆ ุฃู†ุช symmetric ูƒู…ุงู† ุชู…ุงู… ุงู‡ ุฎู„ุงุต ู‡ูŠ
1464
+
1465
+ 367
1466
+ 00:31:07,290 --> 00:31:12,810
1467
+ ุงู‡ ุฌุช ู…ุนุงู‡ุง ู„ุฃ ู…ุฌุชุด ู…ุนุงู‡ุง ู„ุฃ ู‡ุฐู‡ ู…ุนุงู‡ุง ู‡ุฐู‡
1468
+
1469
+ 368
1470
+ 00:31:15,620 --> 00:31:23,480
1471
+ ุทูŠุจ ุงู„ุฎุงู…ุณุฉ A ูˆB ุจุดุฑุท ุฃู† A ุชุณุงูˆูŠ B ุฒุงุฆุฏ 1 ู‡ุฐู‡ ู…ุด
1472
+
1473
+ 369
1474
+ 00:31:23,480 --> 00:31:28,360
1475
+ symmetric ูˆู„ุง ูŠู…ูƒู† ุชูƒูˆู† symmetric ุฃุณูŠู…ุชุฑูŠูƒ ูˆ Anti
1476
+
1477
+ 370
1478
+ 00:31:28,360 --> 00:31:35,900
1479
+ -symmetric ูุฅุฐู† ุชุธุจุท ุงู„ุฃุซู†ูŠู† ู…ุน ุจุนุถ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู†
1480
+
1481
+ 371
1482
+ 00:31:35,900 --> 00:31:40,540
1483
+ A ูˆB ู…ุด ู‡ูŠุณุงูˆูŠ ุจุนุถ ุนุดุงู† ุชุชุญู‚ู‚ ูุนู„ุง ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ A
1484
+
1485
+ 372
1486
+ 00:31:40,540 --> 00:31:48,510
1487
+ ูˆB ูˆู„ุง ูŠู…ูƒู† ูŠุณุงูˆูŠ ุจุนุถุฅุณู„ุฎุฉ ุงู„ุณุงุฏุณุฉ ุงู„ุณุงุฏุณุฉ A ูˆB
1488
+
1489
+ 373
1490
+ 00:31:48,510 --> 00:31:55,610
1491
+ ุจุดุฑุท A ุฒุงุฆุฏ B ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณูˆู‰ ุชู„ุงุชุฉ A ุฒุงุฆุฏ B ุฃู‚ู„ ู…ู†
1492
+
1493
+ 374
1494
+ 00:31:55,610 --> 00:32:01,510
1495
+ ุฃูˆ ุชุณูˆู‰ ุชู„ุงุชุฉ ุทุจ ู„ูˆ ุนูƒุณู†ุงู‡ู… ุจุฑุถู‡
1496
+
1497
+ 375
1498
+ 00:32:01,510 --> 00:32:06,090
1499
+ ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณูˆู‰ ุชู„ุงุชุฉ ูุฅุฐุง ุงุณุชุฎุฏู…ุช A ูˆB ุฃูˆ ุงุณุชุฎุฏู…ุช
1500
+
1501
+ 376
1502
+ 00:32:06,090 --> 00:32:06,730
1503
+ B ูˆA
1504
+
1505
+ 377
1506
+ 00:32:09,640 --> 00:32:12,320
1507
+ ูƒุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ ู„ู„ relation ุนุดุงู† ู†ุนูˆุถ ููŠู‡ู… ููŠ ุงู„
1508
+
1509
+ 378
1510
+ 00:32:12,320 --> 00:32:15,220
1511
+ relation ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุชุงู†ูŠ ู…ุง ู‡ูŠ ู‡ู†ุง ุฅูŠุด
1512
+
1513
+ 379
1514
+ 00:32:15,220 --> 00:32:18,820
1515
+ ุงู„ููƒุฑุฉ ุฃู†ู‡ ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุชุงู†ูŠ ุจุณ ุฃุฒูˆุงุฌ ู…ุฑุชุจุฉ
1516
+
1517
+ 380
1518
+ 00:32:18,820 --> 00:32:22,280
1519
+ ุชุฑุชูŠุจ ูŠุนู†ูŠ ู…ุด ุฃูƒุชุฑ ู…ู† ู‡ูŠูƒ ุชุฑุชูŠุจ ู„ู…ุง ุจู‚ูˆู„ ุฃุตุบุฑ ู…ู† A
1520
+
1521
+ 381
1522
+ 00:32:22,280 --> 00:32:25,520
1523
+ ูˆB ูƒุฃู†ู‡ ู…ูŠู† ุงู„ุฃูˆู„ ูˆู…ูŠู† ุงู„ุชุงู†ูŠ ููŠ ุงู„ relation ูู‡ู†ุง
1524
+
1525
+ 382
1526
+ 00:32:25,520 --> 00:32:28,240
1527
+ ุญุทูŠุช ุงู„ A ู‚ุจู„ ุงู„ B ูˆ ู„ุง ุญุทูŠุช ุงู„ B ู‚ุจู„ ุงู„ A ู…ุด
1528
+
1529
+ 383
1530
+ 00:32:28,240 --> 00:32:36,920
1531
+ ู‡ุชูุฑุฌู…ุด ู‡ุชูุฑู‚ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุชู…ุงู… ุทูŠุจ ู„ุฃ
1532
+
1533
+ 384
1534
+ 00:32:36,920 --> 00:32:41,180
1535
+ ุงู„ุนู„ุงู‚ุฉ ู†ูุณู‡ุง ุญุชู‰ ููŠ ุงู„ุนู„ุงู‚ุฉ ู†ูุณู‡ุง ุงู„ูˆู‚ุช a ุฒุงุฆุฏ b
1536
+
1537
+ 385
1538
+ 00:32:41,180 --> 00:32:48,820
1539
+ ุฃู‚ู„ ู…ู† ุฃูˆ ูŠุณูˆู‰ ุชู„ุงุชุฉ ูƒูˆูŠุณ ุทูŠุจ ู„ู…ุง ู†ุนูƒุณู‡ู… ู‡ูŠุฎุชู„ู
1540
+
1541
+ 386
1542
+ 00:32:48,820 --> 00:32:58,350
1543
+ ู…ุด ู‡ุชุฎุชู„ูู…ุด ู‡ูŠูƒ ู…ุด ู‡ุชุฎุชู„ู ุฎู„ุงุต ู‡ุชุจู‚ู‰ ู†ู‚ู‰ ุฃู‚ู„
1544
+
1545
+ 387
1546
+ 00:32:58,350 --> 00:33:05,950
1547
+ ู…ู† ุฃูˆ ูŠุณูˆู‰ ุชู„ุงุชุฉ ูู‡ุฐู‡ ุงู„ุฃุฎูŠุฑุฉ symmetric ุงู„ุธุงู‡ุฑ ุจุณ
1548
+
1549
+ 388
1550
+ 00:33:05,950 --> 00:33:13,270
1551
+ ุชุฑุชุจุงุช ุงู„ุฎุทูˆุท ูŠู…ูƒู† ุจุฏู‡ุง ุชุบูŠูŠุฑ ู†ูˆุน ุงู„ุฎุท ุทูŠุจ ุจุนุฏ ู‡ูŠูƒ
1552
+
1553
+ 389
1554
+ 00:33:13,270 --> 00:33:18,340
1555
+ ุงู„ transitivity ุฃูˆ ุงู„ุงู†ุชู‚ุงู„ูŠุฉุฎุงุตูŠุฉ ุชุงู„ุชุฉ ุจุนุฏ ุงู„ู€
1556
+
1557
+ 390
1558
+ 00:33:18,340 --> 00:33:21,320
1559
+ Reflexive ูˆ ุจุนุฏ ุงู„ู€ Symmetric ุงุชูƒู„ู…ู†ุง ููŠ ุงู„ุฌุฒุฆูŠุฉ
1560
+
1561
+ 391
1562
+ 00:33:21,320 --> 00:33:25,140
1563
+ ุฏูŠ ูˆ ุชูุงุตูŠู„ู‡ุง ุงู„ุงู† ููŠ ุนู†ุฏูŠ ุงู„ Transitivity ุงู„
1564
+
1565
+ 392
1566
+ 00:33:25,140 --> 00:33:28,520
1567
+ Transitivity ุจู‚ุฏุฑ ุงู‚ูˆู„ ุงู† ุงู„ relation R ู‡ูŠ
1568
+
1569
+ 393
1570
+ 00:33:28,520 --> 00:33:36,160
1571
+ Transitive ุงู†ุชู‚ุงู„ูŠุฉ ุฅุฐุง ูˆุฅุฐุง ูู‚ุท ู„ูƒู„ A ูˆB ูˆC ู„ูƒู„
1572
+
1573
+ 394
1574
+ 00:33:36,160 --> 00:33:43,900
1575
+ ุงู„ุนู†ุงุตุฑ ุงู„ู„ูŠ ููŠู‡ุง ุฅุฐุง A ูˆB ุชู†ุชู…ูŠ ู„R and B ูˆC ุชู†ุชู…ูŠ
1576
+
1577
+ 395
1578
+ 00:33:43,900 --> 00:33:51,540
1579
+ ู„Rู„ุงุฒู… a .. ู„ุฃู† ุงู†ุชู‚ุงู„ูŠุฉ ุตุงุฑุช ุงู†ุชู‚ู„ุช ู…ู† a ู„ b ูˆ b
1580
+
1581
+ 396
1582
+ 00:33:51,540 --> 00:33:55,200
1583
+ ู†ู‚ู„ุชู‡ุง ู„ c ูุฅุฐุง ุงู„ู…ูุฑูˆุถ ุฅู† ุงู„ relation ุจูŠู† a ูˆ c
1584
+
1585
+ 397
1586
+ 00:33:55,200 --> 00:34:00,640
1587
+ ุจุฑุถู‡ ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุถู…ู† ุงู„ relation ุชู…ุงู…ุŸ ูƒูˆูŠุณ ูู‡ู†ุง
1588
+
1589
+ 398
1590
+ 00:34:00,640 --> 00:34:04,480
1591
+ ุจุชุณู…ูŠู‡ุง transitivity ุงู„ุนูƒุณ ุทุจุนุง ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด ุงู„ ..
1592
+
1593
+ 399
1594
+ 00:34:04,480 --> 00:34:07,940
1595
+ ุงู„ intransitivity intransitivity if it's not
1596
+
1597
+ 400
1598
+ 00:34:07,940 --> 00:34:12,250
1599
+ transitiveุฎู„ุงุต ุจุณู…ูŠู‡ุง intransitive ูˆ ุฎู„ุงุต
1600
+
1601
+ 401
1602
+ 00:34:12,250 --> 00:34:15,550
1603
+ intransitive ู…ุนู†ุงุชู‡ ู‡ูŠ ู„ูŠุณุช transitive ูˆ ุจุณ ู…ุด
1604
+
1605
+ 402
1606
+ 00:34:15,550 --> 00:34:20,650
1607
+ ู‡ู†ุนู…ู„ ุฒูŠ ุงู„ reflexive ุฒูŠ ุงู„ reflexive ุทูŠุจ ู…ุซุงู„ is
1608
+
1609
+ 403
1610
+ 00:34:20,650 --> 00:34:29,270
1611
+ an ancestor of ุงูˆ X is an ancestor of Y ุจู…ุนู†ู‰
1612
+
1613
+ 404
1614
+ 00:34:29,270 --> 00:34:40,660
1615
+ A ู‡ูˆ ุณู„ู B ุทูŠุจ ู„ูˆ ู‚ูˆู„ู†ุง B ู‡ูˆ ุณู„ู Cู‡ู„ ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„ A
1616
+
1617
+ 405
1618
+ 00:34:40,660 --> 00:34:48,840
1619
+ ู‡ูˆ ุณู„ู CุŸ ุฃูƒูŠุฏ ุฃูƒูŠุฏ ู„ุฃ ู…ุง ู‡ูˆ .. ุงู†ุช ุนุงุฑู ุงู„ุณู„ู ุงู„
1620
+
1621
+ 406
1622
+ 00:34:48,840 --> 00:34:53,580
1623
+ .. ุงู„ .. ุงู„ ancestors ู‡ุฐู‡ ancestor of ุจู…ุนู†ู‰ ุงู†ู‡ ุงู„
1624
+
1625
+ 407
1626
+ 00:34:53,580 --> 00:34:58,040
1627
+ .. ุงู„ .. ุงู„ู„ูŠ ู‚ุจู„ู‡ ุงู„ู„ูŠ ู‚ุจู„ู‡ ุจู…ุนู†ู‰ ุถู…ู† ุงู„ุณู„ุณู„ุฉ
1628
+
1629
+ 408
1630
+ 00:34:58,040 --> 00:35:01,220
1631
+ ูŠุนู†ูŠ ุถู…ู† ุงู„ุณู„ุณู„ุฉ ุฃู‡ ุงู†ุช ุจุชุชูƒู„ู… ุนู† ุถู…ู† ุงู„ุณู„ุณู„ุฉ ุจุณ
1632
+
1633
+ 409
1634
+ 00:35:01,220 --> 00:35:05,280
1635
+ ancestor ู‡ูŠ ู„ูŠุณุช ุงู„ grandfather ูŠุนู†ูŠ ู„ูŠุณุช ุงู„ุฌุฏ
1636
+
1637
+ 410
1638
+ 00:35:05,280 --> 00:35:10,510
1639
+ ุงู„ู…ุจุงุดุฑ ู‡ูŠ ุงู„ุฌุฏูˆุฏancestor ุนุดุงู† ู‡ูŠ ุงู„ .. ancestor
1640
+
1641
+ 411
1642
+ 00:35:10,510 --> 00:35:15,290
1643
+ ุฃู†ุง ู…ุงู‚ูˆู„ุชุด grandfather ูุฅุฐุง ุจุชู‚ูˆู„ ู‡ูˆ a ู…ู† ุฃุฌุฏุงุฏ b
1644
+
1645
+ 412
1646
+ 00:35:15,290 --> 00:35:21,170
1647
+ ุทูŠุจ ูˆ b ู†ูุณู‡ ู‡ูˆ ู…ู† ุฃุฌุฏุงุฏ c ูู…ุนู†ู‰ ุฐู„ูƒ ุฃูƒูŠุฏ a ู…ู†
1648
+
1649
+ 413
1650
+ 00:35:21,170 --> 00:35:25,970
1651
+ ุฃุฌุฏุงุฏ c ู…ู† ุงู„ุณู„ู ุชุจุนู‡ ูƒูˆูŠุณ ูุฅุฐุง ู‡ุฐู‡ ุงู„ relation
1652
+
1653
+ 414
1654
+ 00:35:25,970 --> 00:35:31,630
1655
+ ูˆุงุถุญุฉ ุฌุฏุง ุชู…ุงู… ุทูŠุจ likes ุฃูƒูŠุฏ ู…ุด ู‡ุชุตุจุท likes ุจู…ุนู†ู‰
1656
+
1657
+ 415
1658
+ 00:35:31,630 --> 00:35:37,210
1659
+ ุฅุฐุง ูƒุงู† a likes b ูˆ b likes c ู‡ู„ ุจุถุฑูˆุฑูŠ ุฃู† a likes
1660
+
1661
+ 416
1662
+ 00:35:37,210 --> 00:35:40,970
1663
+ c ุฃุจุฏุงุงู†ุช ุนู†ุฏูƒ ุฃุตุญุงุจุŒ ุจุณ ูˆุงุญุฏ ู…ู† ุฃุตุญุงุจูƒ ู…ุง ู‡ูˆ ูŠุงู„ู‡
1664
+
1665
+ 417
1666
+ 00:35:40,970 --> 00:35:44,150
1667
+ ุฃุตุญุงุจู‡ ูƒู…ุงู†ุŒ ู…ุด ุจุถุฑูˆุฑูŠ ุฃู†ู‡ ุฃู†ุช ุนุงุฑู ูƒู„ ุฃุตุญุงุจู‡ ูˆ
1668
+
1669
+ 418
1670
+ 00:35:44,150 --> 00:35:48,550
1671
+ ุฃู†ุช likes ูƒู„ ุฃุตุญุงุจู‡ ู…ุซู„ุงุŒ ุชู…ุงู…ุŸ ูุฅุฐุง ู„ุฃ ู‡ุฐู‡
1672
+
1673
+ 419
1674
+ 00:35:48,550 --> 00:35:55,090
1675
+ intransitive ุทูŠุจ is within one mile of ุงู„ู…ุชุบูŠุฑุŒ
1676
+
1677
+ 420
1678
+ 00:35:55,090 --> 00:36:02,030
1679
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‚ู„ู†ุง ู‡ู†ุง A ูˆBุŒ ูˆูŠู† ุฑุงุญุชุŸ ูˆBุŒ ู‡ุชู†ุฑุณู…ู‡ุง
1680
+
1681
+ 421
1682
+ 00:36:02,030 --> 00:36:02,990
1683
+ ุนุดุงู† ุชูˆุถุญู„ูƒ
1684
+
1685
+ 422
1686
+ 00:36:09,620 --> 00:36:17,700
1687
+ ู‡ูŠ B A is within one mile of B ูŠุนู†ูŠ ู‡ูŠ ุจุนูŠุฏ ุนู†ู‡ ุจ
1688
+
1689
+ 423
1690
+ 00:36:17,700 --> 00:36:25,200
1691
+ one mile ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ููŠ ุฅูŠู‡ุงุดุŸ ููŠ ู…ุณุงูุฉ ุจู‡ุฐุง ุงู„ุดูƒู„
1692
+
1693
+ 424
1694
+ 00:36:25,200 --> 00:36:28,760
1695
+ ู‡ูŠ A okay
1696
+
1697
+ 425
1698
+ 00:36:28,760 --> 00:36:36,040
1699
+ ุทูŠุจ B ู‡ูˆ ุฅูŠู‡ุงุด ุจุฑุถู‡ is within one mile of C
1700
+
1701
+ 426
1702
+ 00:36:38,830 --> 00:36:44,770
1703
+ ู‡ู†ุง ุจูŠุจุนุฏ .. ุจูŠุจุนุฏ .. ุจูŠุจุนุฏ ุนู† C one mile ุจู…ุนู†ู‰
1704
+
1705
+ 427
1706
+ 00:36:44,770 --> 00:36:54,390
1707
+ ู…ู…ูƒู† ูŠูƒูˆู† ู‡ู†ุง C ู‡ูŠู‡ุง ุจุญูŠุซ ุงู†ู‡ ุจูŠ ุชุจุนุฏ ุนู† C ุจุฑุถู‡ ุจ
1708
+
1709
+ 428
1710
+ 00:36:54,390 --> 00:36:58,510
1711
+ one mile ู‡ู„
1712
+
1713
+ 429
1714
+ 00:36:58,510 --> 00:37:02,810
1715
+ ุจู‚ุฏุฑ ุนุงู…ูŠ ุงู‚ูˆู„ ุงู† A within one mile of C
1716
+
1717
+ 430
1718
+ 00:37:07,940 --> 00:37:12,080
1719
+ ู…ุด ุถุฑูˆุฑูŠ ู‡ูŠ ุงู„ู„ูŠ ุจู‚ุฏุฑ ุฃู‚ูˆู„ู‡ ุงู† ู‡ูˆ ู…ุด ุถุฑูˆุฑูŠ ู„ุฅู†
1720
+
1721
+ 431
1722
+ 00:37:12,080 --> 00:37:16,960
1723
+ ูุนู„ุง ู…ู…ูƒู† ุชูƒูˆู† ุตูุฑ ู„ุฅุชู†ูŠู† mile ู…ู† ุตูุฑ ู„ุฅุชู†ูŠู† mile
1724
+
1725
+ 432
1726
+ 00:37:16,960 --> 00:37:22,220
1727
+ ูุฅุฐุง within one mile ู…ุนู†ุงุชู‡ ุฅู† ู‡ูˆ ุฏุงุฎู„ ุญุฏูˆุฏ one
1728
+
1729
+ 433
1730
+ 00:37:22,220 --> 00:37:26,860
1731
+ mile ู…ูŠู„ ูˆุงุญุฏ ูุนู„ูŠุง ู„ุฃ ุจู‚ุฏุฑุด ุฃู‚ูˆู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ู†ู‚ุฏุฑุด
1732
+
1733
+ 434
1734
+ 00:37:26,860 --> 00:37:31,900
1735
+ ู†ู‚ูˆู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ูŠุดุŸ ุจุนุถู‡ู… ู‡ูŠูƒูˆู† ุตุญูŠุญ ูˆุจุนุถู‡ู… ู„ุฃ
1736
+
1737
+ 435
1738
+ 00:37:31,900 --> 00:37:37,460
1739
+ ุฅุฐุง ูƒุงู† ุจุชูƒู„ู… ุนู†ุจู‡ุฐุง ุงู„ุดูƒู„ ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† ุนู„ู‰ ุฌุฏ
1740
+
1741
+ 436
1742
+ 00:37:37,460 --> 00:37:42,200
1743
+ ุจุณ ุฌุฒุก ุจุณูŠุท ู…ู† .. ู…ู†ู‡ู… ุจูƒูˆู† ู…ุธุจูˆุทุฉ ู„ูƒู† in general
1744
+
1745
+ 437
1746
+ 00:37:42,200 --> 00:37:45,860
1747
+ ู„ุฃ ุจู…ุนู†ู‰ ุงู† ู‡ูŠ ู‡ุฏ ุจุนูŠุฏุฉ ุนู† ู‡ุฏูŠ ุงูƒุชุฑ ู…ู† one mile
1748
+
1749
+ 438
1750
+ 00:37:45,860 --> 00:37:51,580
1751
+ ุทูŠุจ ู„ูˆ ุงู„ sea ูƒุงู†ุช ู‡ู†ุง ุงุชู†ูŠู† mile maximum ุจุณ ู…ู…ูƒู†
1752
+
1753
+ 439
1754
+ 00:37:51,580 --> 00:37:55,180
1755
+ ุชูŠุฌูŠ ู‡ู†ุง .. ู…ู…ูƒู† ุชูŠุฌูŠ ู‡ู†ุง .. ู…ู…ูƒู† ุชูŠุฌูŠ ู‡ู†ุง ุตูุฑ ูู‡ูŠ
1756
+
1757
+ 440
1758
+ 00:37:55,180 --> 00:37:59,220
1759
+ within ุงู„ one mile ุจุณ ูุนู„ูŠุง in general ู…ู‚ุฏุฑุด ุงุนู…ู…
1760
+
1761
+ 441
1762
+ 00:37:59,220 --> 00:38:05,470
1763
+ ู…ู‚ุฏุฑุด ุงู†ุนู…ู… ูู‡ูŠ transitivity ู„ุฃ intransitiveุทูŠุจ
1764
+
1765
+ 442
1766
+ 00:38:05,470 --> 00:38:09,410
1767
+ ู‡ุงุชุดูˆู ุจุฑุถู‡ ู…ุซุงู„ ุนู„ู‰ ุงู„ู…ุซุงู„ ุงู„ุจุณูŠุท ุทุจุนู†ุง ุงู„ู„ูŠ ู‡ูˆ
1768
+
1769
+ 443
1770
+ 00:38:09,410 --> 00:38:14,190
1771
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุงู…ุซู„ุชู‡ ู…ู…ูƒู† ุชูƒูˆู† ุณู‡ู„ุฉ ูˆุงุญุฏ
1772
+
1773
+ 444
1774
+ 00:38:14,190 --> 00:38:20,530
1775
+ ูˆุงุญุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ูˆุงุญุฏ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1776
+
1777
+ 445
1778
+ 00:38:20,530 --> 00:38:31,070
1779
+ ู†ู…ุณูƒู‡ู… ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุนุดุงู† ู†ูุญุต ู‡ุฐุง ุงู„ูƒู„ุงู… ู‡ุงูŠ
1780
+
1781
+ 446
1782
+ 00:38:31,070 --> 00:38:36,440
1783
+ ูˆุงุญุฏ A ูˆBุตุญุŸ ู‡ูŠ A ูˆ B ู…ุนู†ุงุชู‡ ุจุฏู†ุง ู†ู…ุณูƒ ุฃูŠ ุฒูˆุฌ ุชุงู†ูŠ
1784
+
1785
+ 447
1786
+ 00:38:36,440 --> 00:38:45,260
1787
+ ุจุนุฏ ุงู„ B ู‡ูŠู‡ ู‡ู„ ูˆุงุญุฏ ู„ุฃู†ู‡ ุตุงุฑุช ูƒุฃู†ู‡ F A B ู‡ูŠ B ูˆ C
1788
+
1789
+ 448
1790
+ 00:38:45,260 --> 00:38:53,060
1791
+ ู‡ู„ ูŠูˆุฌุฏ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุชู…ุงู… ุฎู„ุตู†ุงู‡ุง ุทูŠุจ ููŠ
1792
+
1793
+ 449
1794
+ 00:38:53,060 --> 00:38:56,900
1795
+ ุญุฏ ุชุงู†ูŠ ุจุฑุถู‡ ุจุจุฏุฃ ุจุงู„ B ู„ุฃ ุฎู„ุตู†ุง ู…ู† ู‡ุฐุง ุงู„ุนู†ุตุฑ
1796
+
1797
+ 450
1798
+ 00:38:56,900 --> 00:39:05,220
1799
+ ู†ู…ุณูƒ ุงู„ุชุงู†ูŠ A ูˆ B ู‡ูŠ Bู…ุชูู‚ุฉ ู…ุน ู‡ู†ุงุŸ ู„ุฃ ู‡ุฐุง ุฎู„ุงุต ู…ุน
1800
+
1801
+ 451
1802
+ 00:39:05,220 --> 00:39:10,640
1803
+ ู‡ู†ุง ุงู‡ ู…ุงุดูŠุฉ ูุฅุฐุง ู‡ุงูŠ ุจ ูˆ ุณ ุจ ู…ุชุดุงุจุนุฉ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู†
1804
+
1805
+ 452
1806
+ 00:39:10,640 --> 00:39:15,740
1807
+ ู…ูˆุฌูˆุฏุฉุŸ ุงู‡ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ุทูŠุจ ุฎู„ุตู†ุงู‡ุง ุงุชู†ูŠู†
1808
+
1809
+ 453
1810
+ 00:39:15,740 --> 00:39:20,640
1811
+ ุจุงุฏูŠุฉ ู…ุนุงุดูŠุŸ ุงู‡ ุจุงุฏูŠุฉ ู…ุนุงุดูŠ ุชุงู†ูŠ ู…ุนู†ุงุชู‡ ุจุงู„ ุฏูŠ
1812
+
1813
+ 454
1814
+ 00:39:20,640 --> 00:39:29,120
1815
+ ูˆุงุญุฏ ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ ุงูŠู‡ ุณูŠุŸ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูƒ ุฎู„ุตู†ุง ู‡ุงูŠ ุงู„
1816
+
1817
+ 455
1818
+ 00:39:29,120 --> 00:39:34,120
1819
+ answer ู‡ุฐุงุงุชู†ูŠู† ุฎู„ุตุชุŒ ุทูŠุจ ู†ู…ุณูƒ ุงู„ู„ูŠ ูˆุฑุงู‡ุงุŒ ุจุงุฏูŠุฉ
1820
+
1821
+ 456
1822
+ 00:39:34,120 --> 00:39:40,120
1823
+ ุจู€A ุจู€BุŒ ุฃูŠ ุนู†ุตุฑ ุจูŠุจุฏุฃ ุจุงุชู†ูŠู†ุŒ ู‡ู†ุง ุจูŠุจุฏูˆุด ุจุงุชู†ูŠู†ุŒ
1824
+
1825
+ 457
1826
+ 00:39:40,120 --> 00:39:43,360
1827
+ ู‡ูŠู‡ุงุŒ ู…ุนู†ุงุชู‡ ุจูŠุจุฏุฃ ุงุชู†ูŠู† ูˆูˆุงุญุฏุŒ ู‡ูŠ ู†ูุณู‡ุง ู…ูˆุฌูˆุฏุฉุŒ
1828
+
1829
+ 458
1830
+ 00:39:43,360 --> 00:39:46,600
1831
+ ู‡ูŠ ุงุชู†ูŠู† ูˆูˆุงุญุฏุŒ ุทูŠุจุŒ ู‡ู†ุง ู…ุงููŠุด ุงุชู†ูŠู†ุŒ ุฎู„ุตู†ุงุŒ
1832
+
1833
+ 459
1834
+ 00:39:46,600 --> 00:39:51,020
1835
+ ุงู„ุชุงู„ุชุฉุŒ ุงู„ู„ูŠ ุฌุงุจ ู„ู„ุงุฎูŠุฑุฉุŒ A ูˆBุŒ ู…ูŠู† ุจูŠุจุฏุฃ ุจูˆุงุญุฏุŒ
1836
+
1837
+ 460
1838
+ 00:39:51,020 --> 00:39:58,260
1839
+ ู‡ูŠ ูˆุงุญุฏูุฅุฐุง ู‡ูŠ B ูˆ C ูุฅุฐุง ุจุฏูŠ 2 ูˆ 1 ู‡ูŠ ู†ูุณู‡ุง 2 ูˆ 1
1840
+
1841
+ 461
1842
+ 00:39:58,260 --> 00:40:07,020
1843
+ ุทูŠุจ ุฎู„ุตู†ุงู‡ุง ู‡ูŠ B ูˆ C 2 ูˆ 2 ู‡ูŠ 2 ูˆ 2 ู…ูˆุฌูˆุฏุฉ ุถุงู„ุฉ
1844
+
1845
+ 462
1846
+ 00:40:07,020 --> 00:40:10,700
1847
+ ุงู„ุฃุฎูŠุฑุฉ ู‡ูŠ
1848
+
1849
+ 463
1850
+ 00:40:10,700 --> 00:40:16,410
1851
+ ู…ุน ู†ูุณู‡ุง ู‡ูŠ transitive ู…ุน ู†ูุณู‡ุง ู…ู† 3 ู„ 3ูˆ ู…ู† ุชู„ุงุชุฉ
1852
+
1853
+ 464
1854
+ 00:40:16,410 --> 00:40:20,690
1855
+ ู„ุชู„ุงุชุฉ ูุญุจู‘ู„ุช ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ ูุฅุฐุง transitive ูุฅุฐุง
1856
+
1857
+ 465
1858
+ 00:40:20,690 --> 00:40:25,190
1859
+ transitive ูƒูŠูุŸ
1860
+
1861
+ 466
1862
+ 00:40:25,190 --> 00:40:30,830
1863
+ ู„ุฃ
1864
+
1865
+ 467
1866
+ 00:40:30,830 --> 00:40:35,730
1867
+ ููŠู‡ุง .. ููŠู‡ุง .. ููŠู‡ุง ุทุฑู‚ ู‡ู„ูˆุฌุช ูˆุงุญุฏ ุชู„ุงุชุฉ ุชู„ุงุชุฉ
1868
+
1869
+ 468
1870
+ 00:40:35,730 --> 00:40:43,710
1871
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ูˆุงุญุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ู…ุด ู…ูˆุฌูˆุฏุฉ ุงู†ุช ูŠูƒููŠ ุงู†ูƒ
1872
+
1873
+ 469
1874
+ 00:40:43,710 --> 00:40:48,170
1875
+ ุงู†ุช ุชุชุฏูˆุฑ ุนู†ู‡ุง ููŠู‡ู„ูˆ ุงู†ุชูุช ุฎู„ุงุต ุฎู„ุตู‡ ุฅุฐุง ูƒุงู† ูŠุณ
1876
+
1877
+ 470
1878
+ 00:40:48,170 --> 00:40:54,930
1879
+ ู‡ุชุบู„ุจูƒ ู‡ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ู…ุด ู…ูˆุฌูˆุฏุฉ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ูุฅุฐุง
1880
+
1881
+ 471
1882
+ 00:40:54,930 --> 00:41:01,950
1883
+ ู†ู‡ ุฎู„ุตู†ุง ุงู„ุฃุฎูŠุฑุฉ ุงุชู†ูŠู† ูˆุงุญุฏ ุงุชู†ูŠู† ูˆ ุชู„ุงุชุฉ ู…ูˆุฌูˆุฏุฉ
1884
+
1885
+ 472
1886
+ 00:41:01,950 --> 00:41:10,280
1887
+ ุงู„ุฃุฑุจุนุฉ ุฎู„ุงุต ุฅุฐุง ุงู†ุชูˆุง ุนู…ู„ุชูˆุง check ุนู„ู‰ู‡ูŠ ุงุชู†ูŠู† ูˆ
1888
+
1889
+ 473
1890
+ 00:41:10,280 --> 00:41:16,200
1891
+ ูˆุงุญุฏ ุงุชู†ูŠู† ูˆ ูˆุงุญุฏ ู…ุด ู…ูˆุฌูˆุฏุฉ ุฎู„ุงุต ู…ุนู†ุงุชู‡ ุจูƒููŠ ู…ุงููŠุด
1892
+
1893
+ 474
1894
+ 00:41:16,200 --> 00:41:21,400
1895
+ ุฏุงุนูŠ ุงู†ุง ุงูุญุต ุงู„ุจุงู‚ูŠ ูุฅุฐุง ู†ู‡ ุทูŠุจ ุทูŠุจ transitive ููŠ
1896
+
1897
+ 475
1898
+ 00:41:21,400 --> 00:41:24,840
1899
+ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ุทุจุนุง ู‡ุชุบู„ุจูƒูˆุง ุดูˆูŠุฉ ุฏูŠ ูุฎู„ุงุต
1900
+
1901
+ 476
1902
+ 00:41:24,840 --> 00:41:28,220
1903
+ ุจู†ุฎู„ูŠูƒูˆุง ู‡ูŠ ุชุญู„ูˆู‡ุง ุฒูŠ ู…ุง ุจู‚ูˆู„ูˆุง ููŠ ุงู„ุฏุงุฑ ู‡ูŠูƒ
1904
+
1905
+ 477
1906
+ 00:41:28,220 --> 00:41:32,060
1907
+ ุจุฑุงุญุชูƒู… ูƒูŠูุŸ
1908
+
1909
+ 478
1910
+ 00:41:32,060 --> 00:41:37,180
1911
+ ุงู„ุฃูˆู„ู‰ ุฅูŠุด ููŠู‡ุงุŸ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู…ูˆุฌูˆุฏุฉูˆุงุญุฏ ุงุชู†ูŠู†
1912
+
1913
+ 479
1914
+ 00:41:37,180 --> 00:41:43,540
1915
+ ู…ูˆุฌูˆุฏุฉ ูˆ ุงุชู†ูŠู† ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ ูˆ ุงุฑุจุน .. ุชู„ุงุชุฉ ูˆ ูˆุงุญุฏ
1916
+
1917
+ 480
1918
+ 00:41:43,540 --> 00:41:47,940
1919
+ ู…ุด ู…ูˆุฌูˆุฏุฉ ู‡ูŠู‡ู…
1920
+
1921
+ 481
1922
+ 00:41:47,940 --> 00:41:51,300
1923
+ ู‡ูŠู‡ู… ู‡ูŠู‡ู… ู…ู† ุบูŠุฑ ู…ุง ุชุบู„ู‰ ุจุญุงู„ูƒ ู‡ูŠู‡ุง ุงุฑุจุน .. ุชู„ุงุชุฉ
1924
+
1925
+ 482
1926
+ 00:41:51,300 --> 00:41:57,160
1927
+ ุงุฑุจุน .. ุชู„ุงุชุฉ ูˆุงุญุฏ ู…ุด ู…ูˆุฌูˆุฏุฉ ู is a no ุงู„ุชุงู†ูŠุฉ ..
1928
+
1929
+ 483
1930
+ 00:41:57,160 --> 00:42:02,220
1931
+ ุจุงู„ุธุจุท ูŠูƒููŠ ูˆุงุญุฏุฉ .. ูŠูƒููŠ ูˆุงุญุฏุฉ ุงู„ุชุงู†ูŠุฉ .. ุงู„ุชุงู†ูŠุฉ
1932
+
1933
+ 484
1934
+ 00:42:02,220 --> 00:42:10,530
1935
+ ..ุชุงู†ูŠุฉ yes ู„ุง ูˆ ุงู„ู„ู‡ no ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ุงุชู†ูŠู† ูˆ
1936
+
1937
+ 485
1938
+ 00:42:10,530 --> 00:42:13,070
1939
+ ุงุชู†ูŠู† ุงู†ุชูˆุง ุฃุฎุฏุชูˆู†ุง ู…ุนุงูƒู… ููŠ ุงู„ yes ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู†
1940
+
1941
+ 486
1942
+ 00:42:13,070 --> 00:42:26,110
1943
+ ู…ุด ู…ูˆุฌูˆุฏุฉ ู‡ู‰ ู‡ุฐู‡ a ูˆ b ุจูŠ ูˆ ุณูŠ no ุทูŠุจ ุงู„ุชุงู„ุชุฉ
1944
+
1945
+ 487
1946
+ 00:42:38,030 --> 00:42:45,370
1947
+ ูˆุงุญุฏ ูˆุงุฑุจุนุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ุงุฑุจุนุฉ
1948
+
1949
+ 488
1950
+ 00:42:45,370 --> 00:42:49,570
1951
+ ูˆุงุญุฏ ู‡ุฐูŠูƒ ุงู‡
1952
+
1953
+ 489
1954
+ 00:42:49,570 --> 00:42:52,310
1955
+ ู†ูุณ ุงู„ุณุงุนุฉ ูˆุงุญุฏ ุงุฑุจุนุฉ ู…ุธุจูˆุท ุทูŠุจ ุงู†ุช ุจุชุงุฎุฏ ู‡ู†ุง ู…ูŠู†
1956
+
1957
+ 490
1958
+ 00:42:52,310 --> 00:42:57,730
1959
+ ุถู„ุช ู‡ุฏู‡ ู†ู…ุญุงู‡ู… ุจู†ุงุณู‡ู… ุฎุงุฑุฌ ุญุงู„ู†ุง ู‡ุฏ
1960
+
1961
+ 491
1962
+ 00:42:57,730 --> 00:43:02,690
1963
+ ุดูƒู„ู‡ุง
1964
+
1965
+ 492
1966
+ 00:43:02,690 --> 00:43:04,370
1967
+ ุญุชู‰ ุงู„ุขู† yes ูƒู„ู‡ุง
1968
+
1969
+ 493
1970
+ 00:43:07,870 --> 00:43:12,470
1971
+ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ูˆ ุงุฑุจุน ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ
1972
+
1973
+ 494
1974
+ 00:43:12,470 --> 00:43:15,470
1975
+ ูˆ ูˆุงุญุฏ ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ุงุชู†ูŠู† .. ุงุฑุจุน ูˆ ุงุชู†ูŠู† ู…ุด
1976
+
1977
+ 495
1978
+ 00:43:15,470 --> 00:43:17,470
1979
+ ู…ูˆุฌูˆุฏุฉ .. ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุด ุงุฑุจุน ูˆ ุงุชู†ูŠู† .. ู„ูŠุด
1980
+
1981
+ 496
1982
+ 00:43:17,470 --> 00:43:19,710
1983
+ ุจุฏูƒ ูŠู‚ูˆู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ ..
1984
+
1985
+ 497
1986
+ 00:43:19,710 --> 00:43:20,710
1987
+ ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„
1988
+
1989
+ 498
1990
+ 00:43:20,710 --> 00:43:21,030
1991
+ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ
1992
+
1993
+ 499
1994
+ 00:43:21,030 --> 00:43:21,970
1995
+ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ
1996
+
1997
+ 500
1998
+ 00:43:21,970 --> 00:43:25,750
1999
+ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ ..
2000
+
2001
+ 501
2002
+ 00:43:25,750 --> 00:43:32,230
2003
+ ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ
2004
+
2005
+ 502
2006
+ 00:43:32,230 --> 00:43:32,910
2007
+ .. ู…ุงุฒุงู„ ูˆุงุญุฏ ูˆ
2008
+
2009
+ 503
2010
+ 00:43:36,790 --> 00:43:41,150
2011
+ ุงุฑุจุน ุงูˆ ุงุชู†ูŠู† ู„ุงู‚ุงุด ุจุฏู‡ key ุงุฑุจุน ุงูˆ ุงุชู†ูŠู† ู…ุธุจูˆุท
2012
+
2013
+ 504
2014
+ 00:43:41,150 --> 00:43:48,190
2015
+ ู…ุธุจูˆุทุฉ
2016
+
2017
+ 505
2018
+ 00:43:48,190 --> 00:43:52,690
2019
+ ู‡ุงูŠ ุงุฑุจุน ุงูˆ ุงุชู†ูŠู† ุงู„ุชู„ุงุชุฉ
2020
+
2021
+ 506
2022
+ 00:43:52,690 --> 00:43:58,750
2023
+ ุงู„ุชู„ุงุชุฉ ู…ุด ู‡ุชุตุจุท ู…ุน ุฅุดูŠุงู„ุชู„ุงุชุฉ ู„ุญุงู„ู‡ุง ุงู„ุชู„ุงุชุฉ
2024
+
2025
+ 507
2026
+ 00:43:58,750 --> 00:44:12,190
2027
+ ู„ุญุงู„ู‡ุง ูˆุงู„ู„ู‡
2028
+
2029
+ 508
2030
+ 00:44:12,190 --> 00:44:15,770
2031
+ ู…ุด ุบู„ุท ุฌุฑุจู‡ุง ูˆ ู‡ุชุดูˆูู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุฌุฑุจู‡ุง ุงุนู…ู„ู‡ุง
2032
+
2033
+ 509
2034
+ 00:44:15,770 --> 00:44:19,790
2035
+ ุงุนู…ู„ู‡ุง ุชุตูˆุฑ ุจุณ ุงุนู…ู„ู‡ุง ุชุตูˆุฑ ุนู„ู‰ ุญุงู„ุฉ ูƒุจูŠุฑุฉ ุฒูŠ ู‡ุฐู‡
2036
+
2037
+ 510
2038
+ 00:44:19,790 --> 00:44:24,800
2039
+ ู…ุซู„ุงูŠุนู†ูŠ ู…ู…ูƒู† ุชุฌุฑุจู‡ุง ุนู„ู‰ ุฎู…ุณุฉ ุชุฌุฑุจู‡ุง ุนู„ู‰ ุฎู…ุณุฉ ุทุจุนุง
2040
+
2041
+ 511
2042
+ 00:44:24,800 --> 00:44:29,780
2043
+ ุงู„ุจุงู‚ูŠ ุจุงู„ู†ุณุจุงู„ูŠ ู‡ูŠูƒูˆู† ุงุนุชู‚ุฏ ูƒู„ู‡ yes ุชู…ุงู… ุทูŠุจ
2044
+
2045
+ 512
2046
+ 00:44:29,780 --> 00:44:33,540
2047
+ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุจู†ูƒู…ู„ ู†ุจู†ูŠ ุนู„ู‰ ุงู„
2048
+
2049
+ 513
2050
+ 00:44:33,540 --> 00:44:37,160
2051
+ transitive ู‡ู†ุจู†ูŠ ุนู„ู‰ ุงู„ transitive ููŠ ุฅูŠุดุŸ ู…ุชุฐูƒุฑูŠู†
2052
+
2053
+ 514
2054
+ 00:44:37,160 --> 00:44:41,260
2055
+ ุงู„ compositionุŸุงู„ู€ composition ูู‡ู†ุนู…ู„ ุจุฑุถู‡
2056
+
2057
+ 515
2058
+ 00:44:41,260 --> 00:44:46,160
2059
+ composed .. composed ู„ ุงู„ relations ูู†ุญุงูˆู„ ู†ุดูˆู
2060
+
2061
+ 516
2062
+ 00:44:46,160 --> 00:44:49,280
2063
+ ู†ู‡ุงูŠุฉ ุงู„ relation ู…ุน ุจุฏุงูŠุฉ relation ุชุงู†ูŠุฉ ุฅูŠุด ุงู„
2064
+
2065
+ 517
2066
+ 00:44:49,280 --> 00:44:52,060
2067
+ total ุจูŠุทู„ุน .. ุฅูŠุด ุงู„ total ุจูŠุทู„ุน ูู‡ูŠ ุจุฑุถู‡ ู†ูุณ
2068
+
2069
+ 518
2070
+ 00:44:52,060 --> 00:44:54,840
2071
+ ุนู…ู„ูŠุฉ ุงู„ transit .. ุงู„ transitive ูƒุฃู† ู‡ูˆ ู‡ู†ุง ุจูŠู‚ูˆู„
2072
+
2073
+ 519
2074
+ 00:44:54,840 --> 00:44:57,440
2075
+ ูƒุด ุฃูุญุต ุงู„ transitive ุจูŠู‚ูˆู„ูƒ ุฌูŠุจู„ูŠ ุงู„ transitive
2076
+
2077
+ 520
2078
+ 00:44:57,440 --> 00:45:00,280
2079
+ ุชู…ุงู…ุŸ ู†ุงุฎุฏู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุฃุนุทูŠูƒูˆุง ุฃู„ู ุนุงููŠุฉ
2080
+
PL9fwy3NUQKwZhC2eomQhHTffLApa8bETi/wu4ONEGCIa0.srt ADDED
@@ -0,0 +1,2429 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,570 --> 00:00:09,490
3
+ ูŠุนุทูŠูƒู… ุงู„ุนููˆ ูŠุง ุดุจุงุจุŒ ู†ุจุฏุฃ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰ ููŠ
4
+
5
+ 2
6
+ 00:00:09,490 --> 00:00:15,230
7
+ ุฌุฒุฆูŠุฉ ุงู„ู€ Euclidean algorithmุŒ ุฅูƒู…ุงู„ู‹ุง ู„ู…ูˆุถูˆุน ุงู„ู€ GCD
8
+
9
+ 3
10
+ 00:00:15,230 --> 00:00:20,130
11
+ ุงู„ุฐูŠ ุฃุฎุฐู†ุงู‡ ุณุงุจู‚ู‹ุง ููŠ ู…ูˆุถูˆุน ุงู„ู€ number theory
12
+
13
+ 4
14
+ 00:00:20,130 --> 00:00:25,430
15
+ ูˆู‡ู†ุจุฏุฃ ุงู„ู„ูŠ ู‡ูŠ ุงุชูƒู„ู…ู†ุง ููŠู‡ุง ุนู† ู†ุธุฑูŠุฉ ุงู„ุฃุนุฏุงุฏุŒ ู„ู…ุงุฐุงุŸ
16
+
17
+ 5
18
+ 00:00:25,430 --> 00:00:30,510
19
+ ู„ุฃู†ู‡ุง ู‡ูŠ ุงู„ุฃุณุงุณ ู„ูƒู„ ุงู„ุนู„ูˆู… ุงู„ู„ุงุญู‚ุฉ ุจุนุฏ ุฐู„ูƒุŒ ูˆู…ู†ู‡ุง
20
+
21
+ 6
22
+ 00:00:30,510 --> 00:00:34,410
23
+ ุงู„ุชุดููŠุฑุŒ ูˆุงู„ุฐูŠ ุณู†ุตู„ ุฅู„ูŠู‡ ููŠ ุขุฎุฑ ู…ุญุงุถุฑุชู†ุง ู„ู‡ุฐุง ุงู„ู…ูˆุถูˆุน
24
+
25
+ 7
26
+ 00:00:34,410 --> 00:00:38,410
27
+ ุงู„ุฐูŠ ู†ุชูƒู„ู… ููŠู‡ ุนู† ุนู…ู„ูŠุฉ ุงู„ู€ encryption ูˆูƒู„ ู…ุง
28
+
29
+ 8
30
+ 00:00:38,410 --> 00:00:41,650
31
+ ูŠุฎุตู‘ ุงู„ุญู‚ูŠู‚ุฉ ุณุญุฑ ุงู„ุฃุฑู‚ุงู… ูˆุณุญุฑ ุงู„ุฃุนุฏุงุฏุŒ ู„ุง ุจุฏ ุฃู† ู†ูƒูˆู†
32
+
33
+ 9
34
+ 00:00:41,650 --> 00:00:44,480
35
+ ูุงู‡ู…ูŠู† ู†ุญู† ุงู„ุฃุนุฏุงุฏ.. ุงู„ุฃุฑู‚ุงู… ู†ูุณู‡ุง ุจุงู„ุฃุณุงุณุŒ ู†ูƒูˆู†
36
+
37
+ 10
38
+ 00:00:44,480 --> 00:00:48,820
39
+ ูุงู‡ู…ูŠู†ู‡ุง ู„ุฃู† ุจุดูƒู„ ุฃูˆ ุจุขุฎุฑ ู‡ูŠ ุฃุณุงุณ ุนู„ู… ุงู„ุญุณุงุจ..
40
+
41
+ 11
42
+ 00:00:48,820 --> 00:00:52,900
43
+ ู‡ูŠ ุฃุณุงุณ ุนู„ู… ุงู„ุญุณุงุจุŒ ููˆุตู„ู†ุง ู„ุฌุฒุฆูŠุฉ ุฃู†ู‡ ูˆุงู„ู„ู‡ ุฃุฎุฐู†ุง
44
+
45
+ 12
46
+ 00:00:52,900 --> 00:00:59,010
47
+ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ู€ modulo ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ
48
+
49
+ 13
50
+ 00:00:59,010 --> 00:01:02,970
51
+ ู‡ุฐู‡ุŒ ุณู†ุฃุชูŠ ุงู„ุขู† ู„ู†ุฑู‰ ู…ุงุฐุง ูŠู…ูƒู† ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ููŠู‡ุŒ ูˆูˆุฌุฏู†ุง ุฃู†ู‡
52
+
53
+ 14
54
+ 00:01:02,970 --> 00:01:07,010
55
+ ุณูˆู ุชูˆูุฑ ุนู„ูŠู†ุง ุฌู‡ุฏู‹ุง ูƒุจูŠุฑู‹ุง ููŠ ุฌุฒุฆูŠุฉ greatest common
56
+
57
+ 15
58
+ 00:01:07,010 --> 00:01:11,110
59
+ divisorุŒ ููŠ greatest common divisor ู†ุณุชุทูŠุน ุฃู† ู†ุฌูŠุจ
60
+
61
+ 16
62
+ 00:01:11,110 --> 00:01:15,390
63
+ ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† greatest common divisor ูˆุงู„ู€ modulo
64
+
65
+ 17
66
+ 00:01:15,390 --> 00:01:20,950
67
+ operationุŒ ุณู†ุฌุฏ ุฃู†ู‡ ู‚ุฏ ุณู‡ู‘ู„ู†ุง ุนู„ู‰ ุฃู†ูุณู†ุง ุจุดูƒู„ ุถุฎู…
68
+
69
+ 18
70
+ 00:01:20,950 --> 00:01:28,810
71
+ ุฌูŠุฏู‹ุง ุฌุฒุฆูŠุฉ ุฅูŠุฌุงุฏ ุงู„ู€ GCD ู‡ุฐู‡ุŒ ูƒูŠู ุฃู‚ูˆู„ ูˆุงู„ู„ู‡ ุฃูŠ
72
+
73
+ 19
74
+ 00:01:28,810 --> 00:01:36,090
75
+ GCD ู„ุฃูŠ A ูˆ BุŒ ู„ุฃูŠ A ูˆ B ู‡ูŠ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ู†ูุณู‡ุงุŒ ุงู„ู€ GCD ู‡ูŠ ู†ูุณ
76
+
77
+ 20
78
+ 00:01:36,090 --> 00:01:43,850
79
+ ุงู„ุนุงู…ู„ ุงู„ู…ุดุชุฑูƒ ุงู„ุฃูƒุจุฑ ู„ู€ A ูˆ BุŒ ู‡ุฐุง ุนู„ู‰ ูุฑุถ
80
+
81
+ 21
82
+ 00:01:43,850 --> 00:01:48,450
83
+ ุฃู†ู†ุง ุฑุชุจู†ุงู‡ุง ุจุญูŠุซ ุฃู† A ุฃูƒุจุฑ ู…ู† BุŒ ุฑุชุจู†ุงู‡ุง ุจุฃู† A
84
+
85
+ 22
86
+ 00:01:48,450 --> 00:01:51,570
87
+ ุฃูƒุจุฑ ู…ู† BุŒ ูููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู„ู…ุง ุฃู‚ูˆู„ A modulo B
88
+
89
+ 23
90
+ 00:01:51,570 --> 00:02:00,500
91
+ ุณุชุธู‡ุฑ ู‡ู†ุง ู‚ูŠู…ุฉ ุฃู‚ู„ ู…ู† BุŒ ุจุงู„ุชุฃูƒูŠุฏุŒ ู…ู…ุชุงุฒุŒ ูุตุงุฑ ู‡ู†ุง ุนู†ุฏูŠ
92
+
93
+ 24
94
+ 00:02:00,500 --> 00:02:05,500
95
+ ู‚ูŠู…ุฉ ุฃู‚ู„ ู…ู† B ูˆู‡ู†ุง ู‚ูŠู…ุฉ BุŒ ูŠุนู†ูŠ ู…ุนู†ู‰ ุฐู„ูƒ
96
+
97
+ 25
98
+ 00:02:05,500 --> 00:02:08,180
99
+ ู„ุงุญุธูˆุง ู‡ุฐุง ู‡ูˆ ุงู„ู‚ุงู†ูˆู† ุจุญุฏ ุฐุงุชู‡ุŒ ูˆู„ูƒู† ูƒูŠู ู†ุณุชุทูŠุน
100
+
101
+ 26
102
+ 00:02:08,180 --> 00:02:11,880
103
+ ุฃู† ู†ูู‡ู… ุฃูƒุซุฑ ู…ู† ู‡ุฐุงุŸ ู„ู†ุนุฏ ุงู„ู…ูˆุถูˆุน ู…ุฑุฉ ุฃุฎุฑู‰
104
+
105
+ 27
106
+ 00:02:11,880 --> 00:02:15,600
107
+ ุจุญูŠุซ ุฃู‚ูˆู„ุŒ ู„ุงุญุธูˆุงุŒ ุณุฃู‚ูˆู„ุŒ ู‡ุฐู‡ ุฃุตุจุญุช
108
+
109
+ 28
110
+ 00:02:15,600 --> 00:02:21,820
111
+ A ุงู„ุฌุฏูŠุฏุฉุŒ ูˆุงู„ู‚ูŠู…ุฉ ุงู„ุชูŠ ุธู‡ุฑุช ูƒู€ remainder ู„ู„ู€ modulo
112
+
113
+ 29
114
+ 00:02:21,820 --> 00:02:28,430
115
+ ู‡ุฐู‡ ุฃุตุจุญุช B ุงู„ุฌุฏูŠุฏุฉุŒ ู„ู†ุนุฏ.. ู„ุงุญุธูˆุง.. ู„ู†ุนู…ู„ swap
116
+
117
+ 30
118
+ 00:02:28,430 --> 00:02:32,990
119
+ ูˆู†ุฑุชุจู‡ู…ุง ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ูˆู†ุนูŠุฏ ู†ูุณ ุงู„ูƒู„ุงู… ู…ุฑุฉ ุฃุฎุฑู‰
120
+
121
+ 31
122
+ 00:02:32,990 --> 00:02:42,030
123
+ ู„ู…ุง ู†ุตู„ ู„ู„ุตูุฑุŒ ุจู…ุนู†ู‰ ุฃู†ู‡ ู‡ู†ุง ุนู…ู„ูŠุฉ ุงู„ู‚ุณู…ุฉ ุงู„ุชูŠ
124
+
125
+ 32
126
+ 00:02:42,030 --> 00:02:48,330
127
+ ุณูŠูƒูˆู† ู„ู‡ุง ุจุงู‚ูŠุŒ ู„ู† ูŠูƒูˆู† ู„ู‡ุง ุจุงู‚ูŠุŒ ุฃูŠ ู†ุตู„ ู„ุฃู†ู‡
128
+
129
+ 33
130
+ 00:02:48,330 --> 00:02:51,810
131
+ ู„ู… ูŠุนุฏ ู‡ู†ุงูƒ ุจุงู‚ูŠุŒ ู‡ู†ุง ุตูุฑุŒ ู†ุฃุฎุฐ ุงู„ู‚ูŠู…ุฉ ุงู„ุซุงู†ูŠุฉุŒ ู‡ูŠ
132
+
133
+ 34
134
+ 00:02:51,810 --> 00:02:55,410
135
+ ุงู„ู€ greatest common divisor ุณุชูƒูˆู† ู‡ูŠ
136
+
137
+ 35
138
+ 00:02:55,410 --> 00:02:59,320
139
+ ุงู„ู€ greatest common divisorุŒ ูู‡ุฐู‡ ุจุจุณุงุทุฉ ูƒูŠู ู†ุณุชุทูŠุน
140
+
141
+ 36
142
+ 00:02:59,320 --> 00:03:06,340
143
+ ุฃู† ู†ุณุชุบู„ู‘ ุงู„ู€ modulo operation ููŠ ุฅูŠุฌุงุฏ ุงู„ู€ GCD
144
+
145
+ 37
146
+ 00:03:06,340 --> 00:03:10,000
147
+ ุจุทุฑูŠู‚ุฉ ุณู‡ู„ุฉ ูˆุณู„ุณุฉุŒ ูˆู†ุณุชุทูŠุน ุฃู† ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ู€
148
+
149
+ 38
150
+ 00:03:10,000 --> 00:03:13,260
151
+ algorithms ุจุณู‡ูˆู„ุฉุŒ ูƒูŠู ู†ุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ู€ algorithmsุŸ
152
+
153
+ 39
154
+ 00:03:13,260 --> 00:03:16,700
155
+ ุณู†ุฃุฎุฐ ุจุงู„ุทุจุน algorithm ุนู„ูŠู‡ุงุŒ ุณู†ุฃุฎุฐ algorithms ุนู„ูŠู‡ุง
156
+
157
+ 40
158
+ 00:03:16,700 --> 00:03:23,460
159
+ ูˆู„ูƒู† ุฏุนูˆู†ุง ู†ุฌุฑุจ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุจุทุฑูŠู‚ุฉ numericalุŒ ุจุญูŠุซ ุฃู†
160
+
161
+ 41
162
+ 00:03:23,460 --> 00:03:28,560
163
+ ู†ุฑู‰ 372 ูˆ 164ุŒ ูˆ ู†ุฑูŠุฏ
164
+
165
+ 42
166
+ 00:03:28,560 --> 00:03:31,520
167
+ ุฃู† ู†ุฌูŠุจ greatest common divisor ุจูŠู†ู‡ู…ุง ุจูƒู„
168
+
169
+ 43
170
+ 00:03:31,520 --> 00:03:34,320
171
+ ุจุณุงุทุฉุŒ ุณู†ุณุชุฎุฏู… ู†ูุณ ุงู„ุทุฑูŠู‚ุฉุŒ ุณุฃู‚ูˆู„ greatest common
172
+
173
+ 44
174
+ 00:03:34,320 --> 00:03:37,960
175
+ divisor ู„ู€ 372 ู‡ูŠ ู†ูุณู‡ุง 372
176
+
177
+ 45
178
+ 00:03:37,960 --> 00:03:44,700
179
+ modulo 164 ูƒู†ุชูŠุฌุฉุŒ ูˆ 164
180
+
181
+ 46
182
+ 00:03:44,700 --> 00:03:48,740
183
+ ู‡ู†ุง ุงู„ู†ุชูŠุฌุฉุŒ ุจุนุฏ ุงู„ุญุณุงุจุŒ ุณุชูƒูˆู† 4
184
+
185
+ 47
186
+ 00:03:48,740 --> 00:03:54,570
187
+ ูˆ 44ุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุงู„ู€ greatest common divisor ู„ู€ 372
188
+
189
+ 48
190
+ 00:03:54,570 --> 00:04:01,170
191
+ ูˆ 164 ู‡ูˆ ู†ูุณู‡ ุงู„ู€ greatest common divisor ุจูŠู† 164 ูˆ
192
+
193
+ 49
194
+ 00:04:01,170 --> 00:04:06,450
195
+ 44ุŒ ุทูŠุจ ููŠ ู‡ุฐู‡ ุงู„ุญู„ู‚ุฉ ุณู†ุนูŠุฏ ู†ูุณ ุงู„ุนู…ู„ูŠุฉ
196
+
197
+ 50
198
+ 00:04:06,450 --> 00:04:11,210
199
+ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุจุนุฏ ุฃู† ุฑุชุจู†ุงู‡ุงุŒ ู‡ู†ุง ุงู„ู€ B ูˆุถุนู†ุงู‡ุง ู…ูƒุงู† ุงู„ู€ A ูˆ
200
+
201
+ 51
202
+ 00:04:11,210 --> 00:04:17,830
203
+ ู†ุงุชุฌ ุงู„ู€ modulo ูˆุถุนู†ุงู‡ ู…ูƒุงู† ุงู„ู€ BุŒ ู†ุนูŠุฏ ุชูƒุฑุงุฑ ุงู„ู€
204
+
205
+ 52
206
+ 00:04:17,830 --> 00:04:22,170
207
+ loopุŒ ู†ุนูŠุฏู‡ุŒ ูู„ุงุญุธูˆุง ุจุฑู…ุฌูŠู‹ุง ูƒุฃู†ูƒู… ุฃู†ุชู… ุงู„ู€ loop ุนุฏุชู…
208
+
209
+ 53
210
+ 00:04:22,170 --> 00:04:27,790
211
+ ุนุฏู‘ุชู…ูˆู‡ุง ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ูˆู„ูƒู† ู†ูุณ ุงู„ููƒุฑุฉุŒ 164 modulo 44 ูˆ
212
+
213
+ 54
214
+ 00:04:27,790 --> 00:04:33,730
215
+ 44ุŒ ุทูŠุจ ุงู„ู†ุงุชุฌ ู‡ู†ุง 32ุŒ ุฏุนูˆู†ุง ุฏุงุฆู…ู‹ุง ู†ุฌุนู„ ุงู„ุฃูˆู„ ู‡ูˆ
216
+
217
+ 55
218
+ 00:04:33,730 --> 00:04:37,250
219
+ ุงู„ุฃูƒุจุฑุŒ ูุตุงุฑ ู‡ูˆ ู†ูุณู‡ greatest common divisor ุจูŠู†
220
+
221
+ 56
222
+ 00:04:37,250 --> 00:04:41,950
223
+ ุงู„ู€ 44 ูˆุงู„ู€ 32ุŒ ูˆู†ุนูŠุฏุŒ ู†ุนูŠุฏุŒ ู†ุนูŠุฏุŒ ุญุชู‰ ู†ุตู„ ููŠ ุงู„ู†ู‡ุงูŠุฉ ู„ู€
224
+
225
+ 57
226
+ 00:04:43,460 --> 00:04:46,260
227
+ ุฃู† ูƒู„ู‡ู… ูŠูƒุงูุฆูˆู† greatest common divisor ู„ู€ 8
228
+
229
+ 58
230
+ 00:04:46,260 --> 00:04:51,360
231
+ modulo 4ุŒ ูˆ 4ุŒ ุทูŠุจ 8 modulo 4 = 0
232
+
233
+ 59
234
+ 00:04:51,360 --> 00:04:54,520
235
+ ุฎู„ุงุตุŒ ุจู…ุง ุฃู† ุธู‡ุฑ ุนู†ุฏูŠ 0ุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ 4 ู‡ูŠ greatest
236
+
237
+ 60
238
+ 00:04:54,520 --> 00:04:58,260
239
+ common divisorุŒ ุฅุฐุง ุงู„ู€ 4 ู‡ูŠ greatest common
240
+
241
+ 61
242
+ 00:04:58,260 --> 00:05:03,880
243
+ divisorุŒ ุชู…ุงู…ุŒ ู‡ุฐู‡ ุงู„ู†ุธุฑูŠุฉ ุงู„ุฃุณุงุณูŠุฉุŒ ูƒูŠู ู†ูƒุชุจู‡ุง ูƒู€ codeุŸ
244
+
245
+ 62
246
+ 00:05:03,880 --> 00:05:07,960
247
+ ุฅุฐุง ุฃุฑุฏุชู…ุŒ ููŠ ุงู„ู€ data structure ุจุนุฏ ุฐู„ูƒ ุชูƒุชุจูˆู†ู‡ุง
248
+
249
+ 63
250
+ 00:05:07,960 --> 00:05:14,060
251
+ ุจุฃุจุณุท ุทุฑูŠู‚ุฉ ู„ู‡ุงุŒ ุงู„ู€ whileุŒ ูˆุฎู„ุตู†ุงุŒ ูููŠ ุงู„ู€ while ู…ุง ุฏุงู… ุงู„ู€
252
+
253
+ 64
254
+ 00:05:14,060 --> 00:05:19,970
255
+ B ู„ู‡ุง ู‚ูŠู…ุฉุŒ ูƒุฑุฑุŒ ุญุชู‰ ุชุตู„ ู„ู„ุตูุฑุŒ ุชูˆู‚ูุŒ ู„ุฃู†ู†ุง ู„ุงุญุธู†ุง ุฃู†
256
+
257
+ 65
258
+ 00:05:19,970 --> 00:05:22,870
259
+ ุงุณุชู…ุฑูŠู†ุง ุฅู„ู‰ ุฃู† ูˆุตู„ู†ุง ู„ู„ุตูุฑุŒ ูŠุนู†ูŠ ุฅุฐุง ูˆุตู„ู†ุง ู„ู„ุตูุฑ
260
+
261
+ 66
262
+ 00:05:22,870 --> 00:05:27,830
263
+ ุชูˆู‚ูู†ุงุŒ ู†ูุณ ุงู„ุดูŠุกุŒ ุณู†ุนูŠุฏ ูƒุชุงุจุชู‡ุง ููŠ ุงู„ู€ code ุงู„ุฐูŠ ุนู†ุฏูŠ
264
+
265
+ 67
266
+ 00:05:27,830 --> 00:05:31,850
267
+ ูˆู„ุงุญุธูˆุง ุฃู†ู‡ ู„ูŠุณ ู…ูุณุชูŽู‡ู„ู‘ุŒ ูƒู„ู‘ู‡ ุณุทุฑูŠู† ุซู„ุงุซุฉุŒ ูƒู„ู‘ู‡ ุณุทุฑูŠู†
268
+
269
+ 68
270
+ 00:05:31,850 --> 00:05:35,250
271
+ ุซู„ุงุซุฉุŒ ุงู„ู€ procedure ูู‚ุทุŒ ู†ุญุฏุฏ ู…ุงุฐุง arguments
272
+
273
+ 69
274
+ 00:05:35,250 --> 00:05:37,890
275
+ ุงู„ุฎุงุตุฉ ุจู†ุง ุฃูˆ ุงู„ู€ input ุงู„ุฎุงุต ุจู†ุงุŒ ูุงู„ู€ input ู‡ูˆ ุนุจุงุฑุฉ ุนู†
276
+
277
+ 70
278
+ 00:05:37,890 --> 00:05:44,390
279
+ A ูˆ BุŒ ุงุณู… ุงู„ุจุฑู†ุงู…ุฌ ู‡ูˆ gcdุŒ GCD ุนู„ู‰ ุฃุณุงุณ ุฃู†ู‡
280
+
281
+ 71
282
+ 00:05:44,390 --> 00:05:46,590
283
+ ู…ูุนุจู‘ุฑ ุนู† greatest common divisorุŒ ู…ุง ู‡ูˆ ุงู„ู€ input
284
+
285
+ 72
286
+ 00:05:46,590 --> 00:05:49,430
287
+ ุงู„ุฎุงุต ุจู‡ุŸ A ูˆ BุŒ ุจุงู„ุทุจุนุŒ ูŠุนู†ูŠ ุฃู†ุชู… ุชุฑูŠุฏูˆู† ุฃู† ุฃุฌูŠุจ
288
+
289
+ 73
290
+ 00:05:49,430 --> 00:05:51,770
291
+ ุนุงู…ู„ ู…ุดุชุฑูƒ ุฃูƒุจุฑ ุจูŠู† ุงู„ุฑู‚ู…ูŠู† ุงู„ู„ุฐูŠู† ุฃุฑูŠุฏ ุฅูŠุฌุงุฏ ุงู„ุนุงู…ู„ ุงู„ู…ุดุชุฑูƒ ุงู„ุฃูƒุจุฑ ุจูŠู†ู‡ู…ุง
292
+
293
+ 74
294
+ 00:05:51,770 --> 00:05:57,870
295
+ ูู€ A ูˆ B ู‡ู…ุง positive integersุŒ ุงู„ุขู† while B ู„ุง
296
+
297
+ 75
298
+ 00:05:57,870 --> 00:06:02,930
299
+ ุชุณุงูˆูŠ ุตูุฑุŒ ู…ุนู†ุงุชู‡ ุงู„ุนู…ู„ูŠุฉ ู…ุณุชู…ุฑุฉุŒ ุนู…ู„ูŠุฉ ุงู„ุจุญุซุŒ ุทูŠุจ
300
+
301
+ 76
302
+ 00:06:02,930 --> 00:06:07,090
303
+ ุนู…ู„ูŠุฉ ุงู„ุจุญุซ ู‡ุฐู‡ุŒ ู…ุงุฐุง ู†ุฑูŠุฏ ุฃู† ู†ูุนู„ ู…ู† ุฎู„ุงู„ู‡ุงุŸ ุณู†ูุนู„ ุงู„ู€ R
304
+
305
+ 77
306
+ 00:06:07,090 --> 00:06:10,810
307
+ ุฃูˆ ุงู„ู€ remainder ุงู„ุฎุงุต ุจู†ุงุŒ ูˆุงู„ุฐูŠ ูŠุณุงูˆูŠ A modulo
308
+
309
+ 78
310
+ 00:06:10,810 --> 00:06:17,310
311
+ BุŒ ุฃู†ู‡ูŠู†ุงู‡ุง.. ุฃู†ู‡ูŠู†ุงู‡ุง.. ุฃุญุถุฑู†ุงู‡ุง.. ู†ุถุน..
312
+
313
+ 79
314
+ 00:06:17,310 --> 00:06:21,890
315
+ ู†ุณุชุจุฏู„ ู„ุฃู†ู†ุง ู†ุนุฑู ุฃู† B ุณุชูƒูˆู† ุฃูƒุจุฑ ู…ู† R
316
+
317
+ 80
318
+ 00:06:21,890 --> 00:06:26,570
319
+ ู‡ุฐู‡ ู‚ุงุนุฏุฉ ูˆุงุญุฏุฉ ุตุญูŠุญุฉุŸ ุฃู… ู…ู† ุงู„ู…ู…ูƒู† ุฃู† ูŠุธู‡ุฑ ู…ุนูƒู… R ุฃูƒุจุฑ
320
+
321
+ 81
322
+ 00:06:26,570 --> 00:06:30,650
323
+ ู…ู†.. ู…ู† B ู„ู…ุง ุชุฃุชูˆู† ู„ู„ู‚ูŠุงู… ุจุนู…ู„ูŠุฉ modulo operationุŒ ูุฅุฐู†
324
+
325
+ 82
326
+ 00:06:30,650 --> 00:06:36,990
327
+ ุชุฃุชูˆู† ูˆุชูุนู„ูˆู† ุชุจุฏูŠู„ู‹ุงุŒ ุชุฌุนู„ูˆู† A ู‡ูŠ B ุงู„ู‚ุฏูŠู…ุฉ ูˆ B
328
+
329
+ 83
330
+ 00:06:36,990 --> 00:06:38,770
331
+ ู‡ูŠ R
332
+
333
+ 84
334
+ 00:06:41,420 --> 00:06:44,520
335
+ ูู‚ุทุŒ ูˆู†ูุนู„ endุŒ ู„ุฃู†ู†ุง ู„ุงุญุธู†ุง ุฃู†ู†ุง ู‚ู…ู†ุง ู‡ู†ุง ุจู€ statement
336
+
337
+ 85
338
+ 00:06:44,520 --> 00:06:47,680
339
+ ุฃูˆู„ู‰ุŒ statement ุซุงู†ูŠุฉุŒ ูˆ statement ุซุงู„ุซุฉุŒ ูˆุงู„ุซู„ุงุซุฉ
340
+
341
+ 86
342
+ 00:06:47,680 --> 00:06:50,880
343
+ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุฅุฌุงุจุฉ ู„ู…ู†ุŸ ู„ู„ู€ whileุŒ ู„ู‡ุฐุง ุงู„ุณุจุจ ู†ุจุฏุฃ ุจู€
344
+
345
+ 87
346
+ 00:06:50,880 --> 00:06:54,120
347
+ begin ูˆ endุŒ ู‡ู†ุง ูŠุตุจุญ ุถุฑูˆุฑูŠู‹ุง ุฌุฏู‹ุง begin ูˆ
348
+
349
+ 88
350
+ 00:06:54,120 --> 00:06:57,860
351
+ end ุฃูˆ ุงู„ู€ curly braces ุงู„ุชูŠ ุชูƒุช๏ฟฝ๏ฟฝูˆู†ู‡ุงุŒ ูู‡ู†ุง
352
+
353
+ 89
354
+ 00:06:57,860 --> 00:07:00,620
355
+ ูŠุตุจุญ ุถุฑูˆุฑูŠู‹ุง ูˆุฅู„ุฒุงู…ูŠู‹ุง ุฃู† ุชูƒุชุจู‡ุงุŒ ุฌูŠุฏ
356
+
357
+ 90
358
+ 00:07:00,620 --> 00:07:07,920
359
+ ุฎู„ุงุตุŒ ุชุณุชู…ุฑ ุงู„ู€ loopุŒ ุณุชุธู„ู‘ ุชุนู…ู„ุŒ ู…ุชู‰ ุณุชุชูˆู‚ูุŸ ุนู†ุฏ ุงู„ุตูุฑุŒ
360
+
361
+ 91
362
+ 00:07:07,920 --> 00:07:12,820
363
+ ู…ู…ุชุงุฒุŒ ุทูŠุจ ู„ู…ุง ูŠุตู„ ุนู†ุฏ ุตูุฑุŒ ู„ู…ุง ุชุตู„ ู„ู‚ูŠู…ุฉ ุงู„ุตูุฑุŒ ููŠ
364
+
365
+ 92
366
+ 00:07:12,820 --> 00:07:17,460
367
+ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุฃู†ุชู… ู‡ู†ุง ูƒุงู† ูˆุตู„ ู…ุนูƒู… ุฃู† R ุชุณุงูˆูŠ ุตูุฑ
368
+
369
+ 93
370
+ 00:07:17,460 --> 00:07:22,900
371
+ ุตุญูŠุญุŸ ูŠุนู†ูŠ ู„ุงุญุธูˆุง ู‡ู†ุงุŒ ูˆุฌุฏู†ุงู‡.. ูˆุฌุฏู†ุงู‡ ูŠุณุงูˆูŠ ุตูุฑุŒ ุฌุฆู†ุง
372
+
373
+ 94
374
+ 00:07:22,900 --> 00:07:27,700
375
+ ูˆุญุณุจู†ุง R ุจุนุฏ ุฃู† ู‚ู…ู†ุง ุจู‡ุฐุง ุงู„ุงุฎุชุจุงุฑุŒ ุญุณุจู†ุง R
376
+
377
+ 95
378
+ 00:07:27,700 --> 00:07:33,780
379
+ ุธู‡ุฑุช ุตูุฑุŒ ุตุญูŠุญุŸ ูู…ุงุฐุง ูุนู„ุชู… ุฃู†ุชู… ุจุนุฏ ุฃู† ุฃุตุจุญุช ุตูุฑุŸ ุฃู†ุชู…
380
+
381
+ 96
382
+ 00:07:33,780 --> 00:07:37,060
383
+ ูˆุถุนุชู… A = B
384
+
385
+ 97
386
+ 00:07:38,190 --> 00:07:44,410
387
+ ูˆูˆุถุนุชู… B = RุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ุตูุฑุŒ ูู„ุงุญุธูˆุง ู…ุง ุญุฏุซ ุจุงู„ูุนู„
388
+
389
+ 98
390
+ 00:07:44,410 --> 00:07:48,310
391
+ ุงู„ุฌุฏูŠุฏ ุงู„ุฐูŠ ุญุฏุซ ุนู†ุฏูƒู… ู‡ูˆ ุฃู† A ุชุณุงูˆูŠ B ุงู„ู‚ุฏูŠู…ุฉ
392
+
393
+ 99
394
+ 00:07:48,310 --> 00:07:51,670
395
+ ูˆุชุณุงูˆูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู…ุงุฐุงุŸ greatest common
396
+
397
+ 100
398
+ 00:07:51,670 --> 00:08:00,130
399
+ divisorุŒ ู„ุฃู† B ุชุณุงูˆูŠ ุตูุฑุŒ ู…ุนู†ู‰ ุฐู„ูƒ ู„ู…ุง ุชุฃุชูˆู† ู„ู„ู‚ูŠุงู… ุจู€
400
+
401
+ 101
402
+ 00:08:00,130 --> 00:08:05,470
403
+ returnุŒ ู„ู† ุชุฑุฌุน return BุŒ ุฃู†ุชู… ููŠ ุงู„ุญู‚ูŠู‚ุฉ ู‚ู…ุชู… ุจู€
404
+
405
+ 102
406
+ 00:08:05,470 --> 00:08:08,290
407
+ ุชุบูŠูŠุฑู‡ู….. ู‚ู…ุชู… ุจู‡ุฐุง ุงู„ูุนู„ุŒ ู‡ุฐูŠู† ุงู„ูุนู„ูŠู†
408
+
409
+ 103
410
+ 00:08:08,290 --> 00:08:12,270
411
+ ุฃู†ุชู… ูุนู„ุชู…ูˆู‡ู…ุง ููŠ ุงู„ุญู‚ูŠู‚ุฉุŒ ุฃู† A ุฃุตุจุญุช ู‡ูŠ BุŒ ูู…ุนู†ู‰ ุฐู„ูƒ
412
+
413
+ 104
414
+ 00:08:12,270 --> 00:08:17,270
415
+ ู„ู…ุง ุขุชูŠ ู„ุฃูุนู„ return ุณุฃุฑุฌุน AุŒ ุฃูˆุถุญุชุŸ ุณุคุงู„ ูƒุซูŠุฑ
416
+
417
+ 105
418
+ 00:08:17,270 --> 00:08:19,270
419
+ ูƒุงู† ููŠ ู‡ุฐู‡ ุงู„ู‚ุตุฉ.. ู†ุนู…ุŒ ุฃู†ุช ู…ุงุดูŠ ุฏูƒุชูˆุฑ ูˆุชู‚ูˆู„
420
+
421
+ 106
422
+ 00:08:19,270 --> 00:08:23,710
423
+ ุงู„ุตูุฑุŒ ูˆ B ุงู„ุชูŠ ุชุจู‚ู‰ ู‡ูŠ ุงู„ุชูŠ ุชูุฑูŽุฌู‘ุน.. ู†ุนู…ุŒ ุชุจู‚ู‰ ู‡ูŠ
424
+
425
+ 107
426
+ 00:08:23,710 --> 00:08:26,790
427
+ ุงู„ุชูŠ ุชูุฑูŽุฌู‘ุน.. ูˆู„ูƒู† ู‡ุฐุง ุฅุฐุง ู„ู… ู†ูุนู„.. ุฅุฐุง ู„ู… ู†ุถู…
428
+
429
+ 108
430
+ 00:08:26,790 --> 00:08:30,340
431
+ ู‡ุฐูŠู† statement ููŠ ุงู„ู€ loopุŒ ู„ุฃู†ู‡ู… ู…ูุถู…ู‘ู†ูˆู† ููŠ
432
+
433
+ 109
434
+ 00:08:30,340 --> 00:08:34,440
435
+ ุงู„ู€ loopุŒ ูุงู„ุขู† ุจุนุฏ ุฃู† ุฃุตุจุญุช ู‡ุฐู‡ ุตูุฑุŒ ุณุชุฑุฌุน ู„ู„ู‚ูŠุงู… ุจู€
436
+
437
+ 110
438
+ 00:08:34,440 --> 00:08:39,140
439
+ check ุนู„ู‰ BุŒ ู„ุฃู†ู‡ุง ุฃุตุจุญุช ุตูุฑุŒ ุชุฎุฑุฌุŒ ูุฃู†ุง ุฃุฑูŠุฏู‡ุง
440
+
441
+ 111
442
+ 00:08:39,140 --> 00:08:44,240
443
+ ุงู„ุขู† ู‡ูŠ A ูˆู„ูŠุณุช BุŒ A ูˆู„ูŠุณุช BุŒ ุงู„ุชูŠ ูƒุงู†ุช
444
+
445
+ 112
446
+ 00:08:44,240 --> 00:08:48,420
447
+ ู‚ูŠู…ุฉ A ุงู„ุณุงุจู‚ุฉุŒ ู†ุญู† ุงู„ุขู† ููŠ ุงู„ุญุงุถุฑุŒ ู†ุญู† ุงู„ุขู† ููŠ
448
+
449
+ 113
450
+ 00:08:48,420 --> 00:08:52,080
451
+ ุงู„ุญุงุถุฑุŒ ููŠ ุงู„ุญุงุถุฑ ู„ุง ุฃุฑูŠุฏ ู‚ูŠู…ุฉ A ุจู„ ุงู„ุณุงุจู‚ุฉุŒ ู‡ูŠ B
452
+
453
+ 114
454
+ 00:08:52,080 --> 00:08:58,810
455
+ ุตุญูŠุญุฉ ูƒุณุงุจู‚ุฉุŒ ูุฃู†ุชู… ุฌุฏู‹ุง ูุงู‡ู…ูŠู† ุงู„ู€ code.. ุทุฑูŠู‚ุฉ ุณูŠุฑ
456
+
457
+ 115
458
+ 00:08:58,810 --> 00:09:01,930
459
+ ุงู„ู€ code ุณุชุณู‡ู„ ุนู„ูŠูƒู… ุฃู†ุชู… ู…ุงุฐุง ุชุฑูŠุฏูˆู†ุŒ ู…ุง ุฏุงู… ุฃู†ุชู…
460
+
461
+ 116
462
+ 00:09:01,930 --> 00:09:04,390
463
+ ู…ุฑูƒู‘ุฒูˆู† ููŠ ุงู„ู€ code ูˆูุงู‡ู…ูŠู† ู…ุงุฐุง ูŠูุนู„ูˆู†ุŒ ุฎู„ุงุตุŒ ุชู†ุชู‡ูŠ
464
+
465
+ 117
466
+ 00:09:04,390 --> 00:09:10,850
467
+ ุงู„ู‚ุตุฉุŒ ุทูŠุจ ูุฎุฐูˆุง ุจุงู„ูƒู… ุฃู† ู‡ุฐูŠู† statement
468
+
469
+ 118
470
+ 00:09:10,850 --> 00:09:13,010
471
+ ู…ู‡ู…ู‘ุงู† ุฌุฏู‹ุง ู„ุฃู†ู‡ู…ุง ู‡ู…ุง ุงู„ู„ุฐุงู† ู‚ุงู…ุง ุจุนู…ู„ูŠุฉ ุงู„ู€ sorting
472
+
473
+ 119
474
+ 00:09:13,010 --> 00:09:17,950
475
+ ุจุญูŠุซ ุฃู† ุฏุงุฆู…ู‹ุง ุงู„ุฃูˆู„ ู‡ูˆ ุงู„ุฃูƒุจุฑุŒ ุงู„ุฃูˆู„ ุจุงู„ุชุฑุชูŠุจ ู‡ูˆ
476
+
477
+ 120
478
+ 00:09:17,950 --> 00:09:21,250
479
+ ุงู„ุฃูƒุจุฑุŒ ูุนู„ู†ุง ุนู…ู„ูŠุฉ ุงู„ู€ sortingุŒ ูˆู‡ุฐุง ุถุฑูˆุฑูŠ ูˆู…ู‡ู… ุฌุฏู‹ุง
480
+
481
+ 121
482
+ 00:09:22,050 --> 00:09:24,150
483
+ ููŠ ุนู…ู„ูƒู…ุŒ ุฅุฐุง ู„ู… ุชุฑูŠุฏูˆุง ูุนู„ู‡ุŒ ู…ุนู†ุงุชู‡ ุชุฑูŠุฏูˆู† ุงู„ู‚ูŠุงู… ุจู€
484
+
485
+ 122
486
+ 00:09:24,150 --> 00:09:29,810
487
+ reverseุŒ ููŠ ุนู…ู„ูŠุฉ R ุชุตุจุญ B modulo A ููŠ ู‡ุฐู‡
488
+
489
+ 123
490
+ 00:09:29,810 --> 00:09:35,670
491
+ ุงู„ุญุงู„ุฉุŒ ุงู†ุชุจู‡ูˆุง ุฌูŠุฏู‹ุงุŒ ุงู„ู€ code ู‡ุฐุง ุณุฑูŠุน ุฌุฏู‹ุง ููŠ ุงู„ุญู‚ูŠู‚ุฉ ูˆ
492
+
493
+ 124
494
+ 00:09:35,670 --> 00:09:40,150
495
+ ู…ู†ุงุณุจ ุฌุฏู‹ุงุŒ ูˆุณุฑุนุฉ ุชุญุฑู‘ูƒู‡ ุฃุณุฑุน ู…ู† ุงู„ุทุฑู‚ ุงู„ุชูŠ ุฃุฎุฐู†ุงู‡ุง
496
+
497
+ 125
498
+ 00:09:40,150 --> 00:09:46,150
499
+ ุณุงุจู‚ู‹ุงุŒ ุจุงู„ุทุจุน ููƒุฑุฉ ุฃู† ุฃุฌูŠุจ ุงู„ุนูˆุงู…ู„ ุงู„ู…ุดุชุฑูƒุฉ ู„ูƒู„ู‘
500
+
501
+ 126
502
+ 00:09:46,150 --> 00:09:50,250
503
+ ุฑู‚ู…ุŒ ู‡ุฐุง ูƒู„ุงู… ูุงุฑุบุŒ ุฃูุถู„ ู…ู† ุงู„ูุงุฑุบุŒ ูˆู„ูƒู† ุงู„ุตุญูŠุญ ุฃู†ู‡
504
+
505
+ 127
506
+ 00:09:50,250 --> 00:09:53,730
507
+ ูŠู…ูƒู† ุฃู† ู†ุณุชุฎุฏู… ุงู„ู€ prime factorizationุŒ ู„ุฃู†ู‡ ู‡ู†ุง ุฃุณุฑุน
508
+
509
+ 128
510
+ 00:09:53,730 --> 00:09:56,390
511
+ ุจูƒุซูŠุฑุŒ ุงู„ู€ prime factorizationุŒ ุฃู†ุชู… ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
512
+
513
+ 129
514
+ 00:09:56,390 --> 00:09:59,270
515
+ ุณุชุนู…ู„ูˆู† ุจุดูƒู„ ุถุฎู… ุฌุฏู‹ุงุŒ ู„ุฃู†ู‡ ุชุฑูŠุฏูˆู† ุฅุญุถุงุฑ prime
516
+
517
+ 130
518
+ 00:09:59,270 --> 00:10:01,550
519
+ factorization ู„ู„ุฃูˆู„ุŒ ูˆ ุงู„ู€ prime factorization
520
+
521
+ 131
522
+ 00:10:01,550 --> 00:10:06,170
523
+ ู„ุซุงู†ูŠุŒ ูˆุฅุฐุง ูƒุงู† ุงู„ุฑู‚ู… ูƒุจูŠุฑุŒ ุงู„ูˆุถุน ูŠุตุจุญ ูƒุงุฑุซูŠู‹ุงุŒ ูˆู„ูƒู†
524
+
525
+ 132
526
+ 00:10:06,170 --> 00:10:10,130
527
+ ู‡ู†ุง ุฃู†ุชู… ุชุชูƒู„ู…ูˆู† ุนู† ู…ุงุฐุงุŸ ุชุชูƒู„ู…ูˆู† ุนู† ุทุฑูŠู‚ุฉ ุชู…ุงู…ู‹ุง
528
+
529
+ 133
530
+ 00:10:10,130 --> 00:10:14,170
531
+ ุนุงู…ู„ุฉ ู…ุซู„ ุงู„ู€ binaryุŒ ุงู„ุชูŠ ุชู‚ูˆู… ุจุนู…ู„ jumpุŒ ุฃู†ุชู… ุจุฏู„ู‹ุง ู…ู†
532
+
533
+ 134
534
+ 00:10:14,170 --> 00:10:19,060
535
+ ุฃู† ุชูƒูˆู†ูˆุง ุชุชุนุงู…ู„ูˆู† ู…ุน 372ุŒ ุฃุตุจุญุชู… ุชุชุนุงู…ู„ูˆู† ู…ุน 44ุŒ ุจุฏู„ู‹ุง ู…ู† ุฃู†
536
+
537
+ 135
538
+ 00:10:19,060 --> 00:10:23,880
539
+ ุชุชุนุงู…ู„ูˆุง ู…ุน 164ุŒ ุฃุตุจุญุชู… ุชุชุนุงู…ู„ูˆู† ู…ุน 32ุŒ ู„ุงุญุธูˆุง ู…ุงุฐุง
540
+
541
+ 136
542
+ 00:10:23,880 --> 00:10:29,240
543
+ ูŠุญุฏุซุŒ ูููŠ ุงู„ุญู‚ูŠู‚ุฉ logarithmicุŒ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุงู„ู€ code ู‡ู†ุง ุฃุตุจุญ
544
+
545
+ 137
546
+ 00:10:29,240 --> 00:10:33,580
547
+ logarithmicุŒ ุฃู†ุชู… ุชู‚ูˆู…ูˆู† ุจู€ jumpุŒ ูุชุตุจุญ ุนู†ุฏูƒู… logarithmic
548
+
549
+ 138
550
+ 00:10:33,580 --> 00:10:37,360
551
+ ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุงู„ู€ base ู„ู„ู€ logุŒ ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุงู„ู€ base
552
+
553
+ 139
554
+ 00:10:37,360 --> 00:10:40,180
555
+ ู‚ู„ู†ุง ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒู„ู‡ู… ูŠุธู„ู‘ูˆู† ู†ูุณ ุงู„ู€ orderุŒ ูƒู„ู‡ู…
556
+
557
+ 140
558
+ 00:10:40,180 --> 00:10:44,180
559
+ ู†ูุณ ุงู„ู€ orderุŒ ู„ู„ุฃุณุงุณ ุงู„ุนุดุฑูŠุŒ ู„ู„ุฃุณุงุณ ุงู„ุซู†ุงุฆูŠุŒ ู„ุง ูŠูุฑู‚
560
+
561
+ 141
562
+ 00:10:44,180 --> 00:10:50,660
563
+ ู…ุนู†ุงุŒ ูˆู„ูƒู† ููŠ ุงู„ู†ู‡ุงูŠุฉ ู‡ู†ุง ุงู„ู€ code ุงู„ุฎุงุต ุจูƒู… ู‡ูˆ ุงู„ู€ big O ู‡ูˆ
564
+
565
+ 142
566
+ 00:10:50,660 --> 00:10:54,220
567
+ logarithmicุŒ logarithmic ู„ู…ู†ุŸ ู„ู„ู…ู‚ุณูˆู…ุŒ ู„ุง
568
+
569
+ 143
570
+ 00:10:54,220 --> 00:10:57,660
571
+ ุณูŠูุฑู‚ ูƒุซูŠุฑ ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ logarithmicุŒ A ูƒุจูŠุฑุฉุŒ A
572
+
573
+ 144
574
+ 00:10:57,660 --> 00:11:03,500
575
+ ุตุบูŠุฑุฉุŒ ู„ุง ูŠูุฑู‚ ูƒุซูŠุฑุŒ ู…ุนู†ุงุชู‡ุŒ ุทูŠุจุŒ ุชูุถู„ุŒ ุฃู†ุง ุฌุฆุช
576
+
577
+ 145
578
+ 00:11:03,500 --> 00:11:07,740
579
+ ู„ู„ู†ุชูŠุฌุฉ ูˆุงุนุชู…ุฏุชู‡ุง ู…ุฆุฉ ุจุงู„ู…ุฆุฉุŒ ูˆู„ูƒู† ู„ู…ุงุฐุง ุตุญูŠุญุฉ ู‡ูƒุฐุงุŸ ู„ู…ุงุฐุง
580
+
581
+ 146
582
+ 00:11:07,740 --> 00:11:12,040
583
+ ุตุญูŠุญุฉ ู‡ูƒุฐุงุŸ ูƒูŠู ู…ู† ู‡ู†ุง ูˆู‡ู†ุงุŒ ูˆู…ู† ุฏุงุฎู„ ุฏุงุฎู„ุŸ ู„ุง
584
+
585
+ 147
586
+ 00:11:12,040 --> 00:11:15,740
587
+ ุฃู‚ูˆู„ ู„ูƒู… ุฃู† ุงู„ุฑูŠุงุถูŠุงุช ุฃุญูŠุงู†ู‹ุง ููŠู‡ุง ุณุญุฑุŒ ุฃู† ููŠู‡ุง
588
+
589
+ 148
590
+ 00:11:15,740 --> 00:11:19,560
591
+ ุนู„ุงู‚ุงุช ู…ุชู†ุงุณู‚ุฉ ู…ุน ุจุนุถู‡ุงุŒ ุงู„ุนู„ุงู‚ุงุช ุงู„ู…ุชู†ุงุณู‚ุฉ ู…ุน
592
+
593
+ 149
594
+ 00:11:19,560 --> 00:11:22,780
595
+ ุจุนุถู‡ุงุŒ ุฃู†ุชู… ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ greatest common divisor ู„ุฃู†
596
+
597
+ 150
598
+ 00:11:22,780 --> 00:11:25,060
599
+ ุชู‚ูˆู„ูˆู† ุฃู† ููŠ ุงู„ุญู‚ูŠู‚ุฉ greatest common divisorุŒ ุฃู†ุชู… ููŠ
600
+
601
+ 151
602
+ 00:11:25,060 --> 00:11:29,480
603
+ ุงู„ู†ู‡ุงูŠุฉ ุชุฑูŠุฏูˆู† ุชู‚ุณูŠู…ู‡ู… ุนู„ู‰ ุจุนุถุŒ ุตุญูŠุญุŸ ู„ุฃู† ุงู„ู€ greatest
604
+
605
+ 152
606
+ 00:11:29,480 --> 00:11:32,360
607
+ common divisor ู‡ูˆ ุนุงู…ู„ ู…ุดุชุฑูƒุŒ ุจู…ุนู†ู‰ ุฃู† ุงู„ุฃูˆู„ ูŠู‚ุจู„
608
+
609
+ 153
610
+ 00:11:32,360 --> 00:11:36,110
611
+ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุŒ ูˆุงู„ุซุงู†ูŠ ูŠู‚ุจู„ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุŒ ููŠ ุงู„ู†ู‡ุงูŠุฉ ูƒูŠู ุชุฑูŠุฏูˆู†
612
+
613
+ 154
614
+ 00:11:36,110 --> 00:11:39,970
615
+ ุฃู† ุชุถู…ู†ูˆู† ุฃู† ุงู„ุงุซู†ูŠู† ูŠู‚ุจู„ุงู† ุงู„ู‚ุณู…ุฉ ุนู„ู‰ ุจุนุถู‡ู…ุงุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ุฑู‚ู…
616
+
617
+ 155
618
+ 00:11:39,970 --> 00:11:44,530
619
+ ู„ู…ุง ุชูุนู„ู‡ moduloุŒ ุงุณู… ุงู„ุฃูˆู„ ูŠุธู‡ุฑ ุตูุฑุŒ ูˆ modulo
620
+
621
+ 156
622
+ 00:11:44,530 --> 00:11:49,150
623
+ ุงุณู… ุงู„ุซุงู†ูŠ ูŠุธู‡ุฑ ุตูุฑุŒ ุฃู„ูŠุณ ูƒุฐู„ูƒุŸ ู…ู† ู‡ุฐู‡ ุงู„ููƒุฑุฉ
624
+
625
+ 157
626
+ 00:11:49,150 --> 00:11:53,050
627
+ ุชุฃุชูŠ ุจุฃู† ู…ุนู†ุงุชู‡ ู…ุง ุฏุงู… ู‡ู…ุง ุบูŠุฑ ู…ุชูู‚ูŠู†ุŒ ูˆุตู„ุง ู„ู„ุตูุฑ
628
+
629
+ 158
630
+ 00:11:53,050 --> 00:11:58,410
631
+ ู…ุน ุจุนุถู‡ู…ุงุŒ ู„ู… ูŠุตู„ูˆุง ุจุนุฏ ู„ู„ู€ greatest common divisor
632
+
633
+ 159
634
+ 00:11:58,410 --> 00:12:01,970
635
+ ู„ู…ุง ูŠุธู„ุง ู…ุน ุจุนุถู‡ู…ุง.. ูŠุนู†ูŠ ู…ุน ุจุนุถุŒ ุงู„ุฃูˆู„ modulo ุงู„ุซุงู†ูŠ
636
+
637
+ 160
638
+ 00:12:01,970 --> 00:12:05,750
639
+ ูˆ ุชุธู„ูˆู† ุชุฃุฎุฐูˆู† ู…ุง ู‡ูŠ ู…ุดุชู‚ุงุชู‡ู…ุงุŒ ุชุตุจุญ ู…ุถุงุนูุงุชู‡ู…ุง
640
+
641
+ 161
642
+ 00:12:05,750 --> 00:12:09,050
643
+ ู…ุดุชู‚ุงุชู‡ู…ุงุŒ ุงู„ู€ divisors ุงู„ุฎุงุตุฉ ุจู‡ู…ุงุŒ ุงู„ุฃุตุบุฑุŒ ุงู„ุฃุตุบุฑุŒ ุงู„ุฃุตุบุฑ
644
+
645
+ 162
646
+ 00:12:09,050 --> 00:12:12,750
647
+ ุฃูˆ ุงู„ู…ุชุจู‚ูŠู‘ุงุช ุงู„ุฎุงุตุฉ ุจู‡ู…ุงุŒ ุฃู†ุชู… ุณุชุตู„ูˆู† ู„ุตูุฑุŒ ู…ุน ุฃู†ูƒู… ู…ุชุฃูƒุฏูˆู†
648
+
649
+ 163
650
+ 00:12:12,750 --> 00:12:17,430
651
+ ุฃู†ู‡ ูˆุตู„ุชู… ู„ุฑู‚ู… ู‡ูˆ ูŠู‚ุจู„ ุงู„ู€.. ุงู„ุฃูˆู„ ูŠู‚ุจู„ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡
652
+
653
+ 164
654
+ 00:12:17,430 --> 00:12:22,210
655
+ ูˆุงู„ุซุงู†ูŠ ูŠู‚ุจู„ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุŒ ู„ุฃู†ู‡ ููŠ.. ููŠ ู†ู‡ุงูŠุฉ ุณู„ุณู„ุฉ
656
+
657
+ 165
658
+ 00:12:23,070 --> 00:12:27,670
659
+ ุงู„ู€ remaindersุŒ ูˆุตู„ู†ุง ู„ุตูุฑุŒ ู…ุง ุฏุงู… ูˆุตู„ู†ุง ู„ุตูุฑุŒ ูุงุณู… ูŠู‚ุจู„
660
+
661
+ 166
662
+ 00:12:27,670 --> 00:12:32,350
663
+ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุŒ ูู‡ูˆ ูŠู‚ุจู„ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุŒ ู‡ูŠ ุงู„ุฑูŠุงุถูŠุงุช ููŠู‡ุง
664
+
665
+ 167
666
+ 00:12:32,350 --> 00:12:40,570
667
+ ุฃุดูŠุงุก ูƒุซูŠุฑุฉุŒ ููŠู‡ุง ุณุญุฑุŒ ูŠุนู†ูŠ ุฌู…ูŠู„ุฉุŒ ุชู…ุงู…ุŒ ูŠุนู†ูŠ ู…ุซู„ู‹ุง
668
+
669
+ 168
670
+ 00:12:40,570 --> 00:12:41,450
671
+ ุฏุนูˆู†ูŠ ุฃู‚ูˆู„ ู„ูƒู…
672
+
673
+ 169
674
+ 00:12:44,780 --> 00:12:49,040
675
+ ุจุนุถ ุงู„ุฃุดูŠุงุก ู…ุซู„ุŒ ู„ู…ุงุฐุง ู…ุซู„ู‹ุง 999
676
+
677
+ 170
678
+ 00:12:49,
679
+
680
+ 223
681
+ 00:16:46,720 --> 00:16:49,880
682
+ automatically ุฅุฐุง ุฃุฑุฏู†ุง ุฃู† ู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ุซู…ุงู†ูŠุŒ ุนุงุฑููŠู† ุฃู†
683
+
684
+ 224
685
+ 00:16:49,880 --> 00:16:54,400
686
+ ุงู„ุซู…ุงู†ูŠ ู‡ูˆ ูƒู„ three digits ุจุดูƒู„ ุซู…ุงู†ูŠุŒ ูุฅุฐุง ุจุฌุณู…ู‡ู…
687
+
688
+ 225
689
+ 00:16:54,400 --> 00:17:04,700
690
+ ู„ุชู„ุงุชุงุช three digits ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ูˆูƒู„ู†ุง
691
+
692
+ 226
693
+ 00:17:04,700 --> 00:17:10,160
694
+ ุนุงุฑููŠู† ุฃู†ู‡ ุงู„ุตูุฑ ููŠ ุงู„ุดู…ุงู„ ู„ุง ูŠุคุซุฑุŒ ุตูุฑ ุจุงู„ุดู…ุงู„ ู„ุง
695
+
696
+ 227
697
+ 00:17:10,160 --> 00:17:14,870
698
+ ูŠุคุซุฑุŒ ูู€ automatically ุจุชุดูˆู ุฌุฏุด ุงู„ุฑู‚ู… ู‡ู†ุง: ุฃุฑุจุนุฉ ..
699
+
700
+ 228
701
+ 00:17:14,870 --> 00:17:22,350
702
+ ุณุจุนุฉ .. ูˆุงุญุฏ .. ุฅุซู†ุงู† .. ุณุจุนุฉ .. ุซู„ุงุซุฉ .. ุฎู…ุณุฉ ..
703
+
704
+ 229
705
+ 00:17:22,350 --> 00:17:27,450
706
+ ู…ุงุฆุฉุŒ ูˆุงู†ุชู‡ู‰. ู‡ุฐุง ุงู„ุนู„ูŠุง. ุทูŠุจุŒ ุงู„ุนูƒุณ ุตุญูŠุญ ุจุฑุถู‡ ู„ู…ุง
707
+
708
+ 230
709
+ 00:17:27,450 --> 00:17:31,050
710
+ ุชูƒูˆู† ุนู†ุฏูƒ ุงู„ุฑู‚ู… ู…ู† ุงู„ู€ octal system ุฅู„ู‰ ุงู„ู€ binary
711
+
712
+ 231
713
+ 00:17:31,050 --> 00:17:33,610
714
+ system ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ. ุฃู†ุช ุนุงุฑู ุฃู† ูƒู„ ุฑู‚ู… ู…ู† ุงู„ุฃุฑู‚ุงู…
715
+
716
+ 232
717
+ 00:17:33,610 --> 00:17:38,850
718
+ ู‡ุฐู‡ ูŠู…ุซู„ ุจุซู„ุงุซุฉ digitsุŒ ูุจุชุฑูˆุญ ุจุชู…ุซู„ ุงู„ุฎู…ุณุฉ ุจู€
719
+
720
+ 233
721
+ 00:17:38,850 --> 00:17:43,440
722
+ three digitsุŒ ูˆุงู„ุณุชุฉ ุจุงู„ู€ three digitsุŒ ูˆุงู„ุณุจุนุฉ ุจุงู„ู€
723
+
724
+ 234
725
+ 00:17:43,440 --> 00:17:47,040
726
+ three digitsุŒ ูˆุงู†ุชู‡ู‰ ุทุจุนุงู‹.
727
+
728
+ 235
729
+ 00:17:47,040 --> 00:17:52,320
730
+ ุจุงู„ู€ hexaุŒ ูƒู„ ูˆุงุญุฏ ุจูŠูƒููŠุดุŒ ุจูŠุตูŠุฑ ุจุฏูƒ ุฃุฑุจุนุฉุŒ ู…ุฏุงู… ู‡ูŠ ูุนู„ูŠุงู‹
731
+
732
+ 236
733
+ 00:17:52,320 --> 00:17:55,980
734
+ ุฃู†ุช ุจุชุญูˆู„ ู„ู†ุธุงู… ูุนู„ุงู‹ ู‡ูˆ ูŠุชูˆุงูู‚ ุชู…ุงู…ุงู‹ ู…ุน ุนุฏุฏ ุงู„ู€ digits.
735
+
736
+ 237
737
+ 00:17:56,860 --> 00:18:00,140
738
+ ุนุดุงู† ู‡ูŠูƒ ุงู„ู„ูŠ ุงุดุชู‡ุฑุช ุฃูƒุซุฑ ู…ู† .. ุทุจุนุงู‹ ุงู„ุชุณุงุนูŠ ููŠู‡
739
+
740
+ 238
741
+ 00:18:00,140 --> 00:18:04,420
742
+ ุชุณุงุนูŠุŒ ุชุณุนุฉ ู…ุซู„ุงู‹ุŒ ู„ูƒู† ุงุดุชู‡ุฑุช ุฃูƒุซุฑ ู„ุฃู† ุงู„ู€ .. ุงู„ู€ ..
743
+
744
+ 239
745
+ 00:18:04,420 --> 00:18:09,220
746
+ ุงู„ุซู…ุงู†ูŠ ูˆุงู„ู€ hexadecimalุŒ ุงู„ุณุชุฉ ุนุดุฑุŒ ู„ุฃู†ู‡ ุจุงู„ุธุจุท ุจูŠุฌูŠ
747
+
748
+ 240
749
+ 00:18:09,220 --> 00:18:12,880
750
+ ุนู„ู‰ ุนุฏุฏ ุงู„ู€ bitsุŒ ุนู†ุฏูƒ three bits ุฃูˆ three digits
751
+
752
+ 241
753
+ 00:18:12,880 --> 00:18:18,970
754
+ ุจู…ุซู„ู‡ ุงู„ู€ octal four digitsุŒ ุจูŠู…ุซู„ู‡ ุงู„ู€ hexadecimalุŒ ุฃู…ุง
755
+
756
+ 242
757
+ 00:18:18,970 --> 00:18:21,370
758
+ ููŠ ุฃู†ุธู…ุฉ ุซุงู†ูŠุฉุŒ ุงู‡ุŒ ููŠ ุฃู†ุธู…ุฉ ุซุงู†ูŠุฉ ูŠุนู†ูŠ ุฃู†ุช ุจุฏูƒ ุชุฑูˆุญ
759
+
760
+ 243
761
+ 00:18:21,370 --> 00:18:24,690
762
+ ู„ู„ุชุณุงุนูŠุŒ ู„ู„ุณุจุงุนูŠุŒ ู„ู€ .. ุงุนู…ู„ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ุŒ ู…ุงููŠุด ู…ุดูƒู„ุฉ.
763
+
764
+ 244
765
+ 00:18:24,690 --> 00:18:28,050
766
+ ุญูˆู„ุŒ ุจุณ ุจุชุญูˆู„ ุณุงุนุชู‡ุง ุจุนู…ู„ูŠุฉ ุงู„ู‚ุณู…ุฉ ุงู„ุนุงุฏูŠุฉ ุงู„ู…ุทูˆู„ุฉ
767
+
768
+ 245
769
+ 00:18:28,050 --> 00:18:33,210
770
+ ู„ุฃู† ู…ุงููŠุด ุชูˆุงูู‚ ุจูŠุตูŠุฑ .. ุจูŠุตูŠุฑ ูˆู…ุงููŠุด ุชูˆุงูู‚ ุชู…ุงู…ุงู‹
771
+
772
+ 246
773
+ 00:18:33,210 --> 00:18:37,770
774
+ ู„ุฃูŠุด ุงุญู†ุง ุฃุฎุฐู†ุง .. ุฃุฎุฐู†ุง ููŠ ุงู„ู…ูˆุถูˆุน ู‡ุฐุงุŒ ู„ุฃู† ููŠ ุนู†ุฏู†ุง
775
+
776
+ 247
777
+ 00:18:37,770 --> 00:18:40,890
778
+ ุงู„ู€ binaryุŒ ุงุญู†ุง ุจู†ุณุชุฎุฏู…ู‡ ูƒุซูŠุฑ .. ุจู†ุณุชุฎุฏู…ู‡ ูƒุซูŠุฑ ููŠ
779
+
780
+ 248
781
+ 00:18:40,890 --> 00:18:44,010
782
+ ุฅูŠุดุŸ ููŠ ุนู…ู„ูŠุฉ ุงู„ุชุดููŠุฑ. ูˆุงุญุฏุฉ ู…ู† ุงู„ุฃู…ูˆุฑุŒ ุฃู†ุช ู„ู…ุง
783
+
784
+ 249
785
+ 00:18:44,010 --> 00:18:48,490
786
+ ุจุชุจุนุช ุงู„ู€ data ุนู†ุฏูƒ ููŠ ุงู„ู€ transmission linesุŒ ุฎุทูˆุท
787
+
788
+ 250
789
+ 00:18:48,490 --> 00:18:52,470
790
+ ุงู„ุงุชุตุงู„ุŒ ูˆุงู„ุชูˆู‚ุนุŒ ูˆุงู„ุฅุฑุณุงู„ุŒ ุฃู†ุช ุนุงุฏุฉ ุจุชุจุนุชู‡ุง digits
791
+
792
+ 251
793
+ 00:18:52,470 --> 00:18:55,870
794
+ ุจุงู„ู€ binaryุŒ ู…ุด ู‡ูŠูƒุŸ ู…ุด ุงู„ู€ digitalุŸ ูƒู„ ุงู„ุนู„ู… ุงู„ู€
795
+
796
+ 252
797
+ 00:18:55,870 --> 00:18:58,970
798
+ digital ุงู„ู„ูŠ ุงู„ุขู† ู…ุงุดูŠุŒ ุฅู† ุฃู†ุช ุจุชุฑุณู„ ุตูุฑ ูˆุงุญุฏ. ู…ู…ุชุงุฒ.
799
+
800
+ 253
801
+ 00:18:58,970 --> 00:19:01,510
802
+ ู…ุนู†ุงู‡ ุฐู„ูƒุŒ ุฅู† ุงู„ุตูุฑ ูˆุงุญุฏ ุงู„ู„ูŠ ุฃู†ุช ุจุนุชู‡ุง ุฏูŠุŒ ุฃุญูŠุงู†ุงู‹
803
+
804
+ 254
805
+ 00:19:01,510 --> 00:19:04,230
806
+ ูƒุซูŠุฑ ุจุชูƒูˆู† ู…ุญุชุงุฌ ุชุนู…ู„ ุนู„ูŠู‡ุง ู…ุฌู…ูˆุนุฉ ุนู…ู„ูŠุงุช
807
+
808
+ 255
809
+ 00:19:04,230 --> 00:19:09,770
810
+ operations. ู„ูŠุดุŸ ู…ู†ู‡ุงุŒ ู…ุง ุจุนุฑูุด ุฅุฐุง ูƒู†ุช ุฃุฎุฐุชูˆู‡ุง ู…ุณุชูˆู‰
811
+
812
+ 256
813
+ 00:19:09,770 --> 00:19:16,050
814
+ ุซุงู„ุซุŒ ู„ุณู‡ ุจุชู‡ูŠุฃ ู„ูŠุŒ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ ู…ุซู„ุงู‹ ุฎุท ุฅุฑุณุงู„ุŒ ูˆุฌุงูŠูƒ
815
+
816
+ 257
817
+ 00:19:16,050 --> 00:19:19,110
818
+ ู…ุฌู…ูˆุนุฉ ุจูŠุงู†ุงุชุŒ ุนุจุงุฑุฉ ุนู† packets ู…ุซู„ุงู‹. ุงู„ู€ packets ู‡ุฐู‡
819
+
820
+ 258
821
+ 00:19:19,110 --> 00:19:23,490
822
+ ุจุฏูƒ ุชุนู…ู„ check ุนู„ูŠู‡ุงุŒ ู‡ู„ ููŠู‡ุง error ูˆู„ุง ู„ุฃุŒ ุนุดุงู†
823
+
824
+ 259
825
+ 00:19:23,490 --> 00:19:26,390
826
+ ุชุนู…ู„ ุนู…ู„ูŠุฉ correction. ุทูŠุจุŒ ู…ู…ุชุงุฒ. ุฃู†ุช ุนู…ู„ูŠุฉ ุงู„ู€
827
+
828
+ 260
829
+ 00:19:26,390 --> 00:19:28,910
830
+ correctionุŒ ุนู„ู‰ ุฅูŠุด ุจุชุนู…ู„ู‡ุงุŸ ุจุชุนู…ู„ ู…ุฌู…ูˆุนุฉ ุนู…ู„ูŠุงุช
831
+
832
+ 261
833
+ 00:19:28,910 --> 00:19:33,670
834
+ ุญุณุงุจูŠุฉุŒ ูุนู„ูŠุงู‹ ุนู„ู‰ ุงู„ู€ digits ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉุŒ ุตุญุŸ ุณูˆุงุก ุนู„ู‰
835
+
836
+ 262
837
+ 00:19:33,670 --> 00:19:39,160
838
+ ุงู„ู€ digits ูƒู€ bit-wise ุฃูˆ word-wiseุŒ ู…ุด ู‡ุชูุฑู‚ ูƒุซูŠุฑุŒ ุจุณ
839
+
840
+ 263
841
+ 00:19:39,160 --> 00:19:41,660
842
+ ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ุฃู†ุช ุจุชุนู…ู„ ู…ุฌู…ูˆุนุฉ ุนู…ู„ูŠุงุช ุนู„ูŠู‡ุงุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ
843
+
844
+ 264
845
+ 00:19:41,660 --> 00:19:46,840
846
+ ู‚ุงุฏู†ุง ู„ููƒุฑุฉ ุฅู†ู‡ ุจุฏู†ุง ู†ุฐูƒุฑูƒู… ุฅู†ู‡ ููŠ ู…ุฌู…ูˆุนุฉ systems
847
+
848
+ 265
849
+ 00:19:46,840 --> 00:19:49,340
850
+ ู…ุฎุชู„ูุฉ ุนู† ุงู„ู€ decimalุŒ ูˆุนุดุงู† ๏ฟฝ๏ฟฝูŠูƒ ุงู„ุขู† ุจุฏู†ุง ู†ุฃุฎุฐ
851
+
852
+ 266
853
+ 00:19:49,340 --> 00:19:54,380
854
+ ู…ุฌู…ูˆุนุฉ acquired ุนู„ู‰ ุงู„ู€ binary. ุญุชู‚ูˆู„ ู„ูŠ ู„ูŠุด ู…ููŠุฏุฉุŸ
855
+
856
+ 267
857
+ 00:19:54,380 --> 00:19:56,960
858
+ ู‡ู‚ูˆู„ ู„ูƒ ุจูƒู„ ุจุณุงุทุฉุŒ ู„ุฃู† ู‡ูŠ ุจุชุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ู€
859
+
860
+ 268
861
+ 00:19:56,960 --> 00:20:00,080
862
+ transmission lines. ุฃู†ุช ู„ู…ุง ุจุชูŠุฌูŠ ุจุชุฑุณู„ุŒ ุฃู†ุช ุจุชุฑุณู„
863
+
864
+ 269
865
+ 00:20:00,080 --> 00:20:04,680
866
+ ูุนู„ูŠุงู‹ digitุŒ ุงู„ู€ digits ู‡ุฐู‡ binary digitsุŒ ูŠุนู†ูŠ ูŠุง
867
+
868
+ 270
869
+ 00:20:04,680 --> 00:20:07,200
870
+ ุตูุฑ ูŠุง ูˆุงุญุฏุŒ ูˆุนุดุงู† ู‡ูŠูƒ ุฃุตุจุญ ุงุณู…ู‡ุง ุงู„ุนู„ู… digital
871
+
872
+ 271
873
+ 00:20:08,440 --> 00:20:10,700
874
+ communicationุŒ digital communication. ุทุจุŒ ุจุฏูƒ ุชุนู…ู„
875
+
876
+ 272
877
+ 00:20:10,700 --> 00:20:14,300
878
+ correctionุŒ ุฃูˆ ุจุฏูƒ ุชุนู…ู„ checkุŒ ู‡ู„ ุงู„ู€ check ู‡ุฐุงุŒ ุจุฏูƒ
879
+
880
+ 273
881
+ 00:20:14,300 --> 00:20:18,480
882
+ ุชุนู…ู„ู‡ุง oneุŒ ุฅุฐุง ูƒุงู† ููŠ one bit errorุŒ ูˆู„ุง more than
883
+
884
+ 274
885
+ 00:20:18,480 --> 00:20:21,160
886
+ one bit error. ู‡ุฐู‡ ู„ู‡ุง techniquesุŒ ูˆู‡ุฐู‡ ู„ู‡ุง
887
+
888
+ 275
889
+ 00:20:21,160 --> 00:20:23,960
890
+ techniquesุŒ ุจุณ ูƒู„ู‡ู… ููŠ ุงู„ู†ู‡ุงูŠุฉ ุจูŠุนุชู…ุฏูˆุง ุนู„ู‰ ุฅู†ูƒ ุฃู†ุช
891
+
892
+ 276
893
+ 00:20:23,960 --> 00:20:29,760
894
+ ุชุนู…ู„ ุนู…ู„ูŠุงุช ุญุณุงุจูŠุฉ ุฃุณุงุณูŠุฉ ุนู„ู‰ ุงู„ู€ digits ู‡ุฐู‡.
895
+
896
+ 277
897
+ 00:20:29,760 --> 00:20:33,720
898
+ ุทูŠุจุŒ ุนุดุงู† ู†ุนู…ู„ู‡ุงุŒ ู†ุจุฏุฃ ุจุฃุจุณุท ุดุบู„ุฉุŒ ุฅู†ูŠ ูˆุงู„ู„ู‡ ุจุฏูŠ ุฃุถูŠู
899
+
900
+ 278
901
+ 00:20:35,810 --> 00:20:39,010
902
+ ุฑู‚ู…ูŠู† binary ุนู„ู‰ ุจุนุถ. ู†ูƒุชุจ ู„ู‡ู… codeุŒ ุฃู†ุง ุจุนุฑู ุฃู†
903
+
904
+ 279
905
+ 00:20:39,010 --> 00:20:44,030
906
+ ุฃู†ุชู… ุนุงุฑููŠู† ุชุนู…ู„ูˆู‡ุงุŒ ูุฃู†ุง ู…ุง ุจุถูŠุนุด
907
+
908
+ 280
909
+ 00:20:44,030 --> 00:20:47,170
910
+ ุจุงู„ู€ code ุงู„ู„ูŠ ุจุฏู‡ ูŠุนู…ู„ู‡ุง. ุฃุชูˆู‚ุน ู…ุง ุฃุฎุฐุชูˆู‡ุง ู„ุณู‡ุŒ code
911
+
912
+ 281
913
+ 00:20:47,170 --> 00:20:50,270
914
+ ุนู„ู‰ ู‡ูŠูƒุŒ ูˆู„ุง ุฃุฎุฐุชูˆู‡ุงุŸ ุทูŠุจุŒ ู…ู…ุชุงุฒ. ุนุดุงู† ุจุฑุถู‡ ู„ูˆ
915
+
916
+ 282
917
+ 00:20:50,270 --> 00:20:53,890
918
+ ุฃูุณุฆู„ุชู… ููŠู‡ุง ููŠ ุงู„ู€ data structureุŒ ุชูƒูˆู†ูˆุง ุฃู†ุชู… ุฌุงู‡ุฒุฉ
919
+
920
+ 283
921
+ 00:20:53,890 --> 00:20:59,620
922
+ ุนู†ุฏูƒู…. ุทูŠุจุŒ ูู€ procedureุŒ ุนุงุฑููŠู† ุงู„ู†ู‚ุงุทุŒ ู„ุฃู† ุฃู†ุง ุจุนู…ู„
923
+
924
+ 284
925
+ 00:20:59,620 --> 00:21:02,700
926
+ ุฅุถุงูุฉุŒ ูุงู„ู€ code ู‡ุฐุงุŒ ุนู…ู„ูŠุฉ ุฅุถุงูุฉุŒ ุฅุถุงูุฉ ู„ูŠู‡ุŸ ุฅูŠุดุŸ
927
+
928
+ 285
929
+ 00:21:02,700 --> 00:21:05,520
930
+ ุจู†ุญุฏุฏ .. ุจู†ุญุฏุฏ ุงู„ู€ sequence ุชุจุนู†ุงุŒ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
931
+
932
+ 286
933
+ 00:21:05,520 --> 00:21:11,620
934
+ sequence ู…ู† A index 0 ุฅู„ู‰ N ู†ุงู‚ุต 1ุŒ ูุฃู†ุง ุนู†ุฏูŠ ูุนู„ูŠุงู‹ N
935
+
936
+ 287
937
+ 00:21:11,620 --> 00:21:18,000
938
+ digitsุŒ A ูˆ BุŒ ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† binary representations
939
+
940
+ 288
941
+ 00:21:18,000 --> 00:21:20,660
942
+ with non-negative integers. ูŠุนู†ูŠ ุงุญู†ุง ู…ูุชุฑุถ ุฅู†ู‡ุง
943
+
944
+ 289
945
+ 00:21:20,660 --> 00:21:22,900
946
+ positiveุŒ ู„ุฃู† ุฃู†ุชู… ุนุงุฑููŠู† ู‚ุตุฉ ุงู„ู€ negativeุŒ ู‚ุตุฉ
947
+
948
+ 290
949
+ 00:21:22,900 --> 00:21:26,680
950
+ ุซุงู†ูŠุฉ ููŠ ุงู„ู€ .. ู‡ู†ุชูƒู„ู… ุนู†ู‡ุง ู‚ุนุฏุฉ .. ู‚ุนุฏุฉ ุชู…ุงู…ุงู‹.
951
+
952
+ 291
953
+ 00:21:26,680 --> 00:21:30,280
954
+ ุฃูˆู„ ุดุบู„ุฉ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุญุฏุฏู‡ุง ู‡ูŠ ุงู„ู€ carryุŒ ุงู„ู€ carry ุงู„ู„ูŠ
955
+
956
+ 292
957
+ 00:21:30,280 --> 00:21:33,280
958
+ ู‡ูˆ ุจุฏู„ ุฅู† ุฃู†ุช ุจุชุฌู…ุนุŒ ูุฃู†ุช ุนุงุฑู ุฅู† ุฃู†ุช ุจุชุฌู…ุน ู…ุน
959
+
960
+ 293
961
+ 00:21:33,280 --> 00:21:36,940
962
+ ุงู„ุญู…ู„ุŒ ู…ุด ู‡ูŠูƒุŸ ุชุฌู…ุน ู…ุน ุงู„ุญู…ู„ุŒ ูุจุฏู†ุง ูŠูƒูˆู† ููŠ ุฎุงู†ุฉ
963
+
964
+ 294
965
+ 00:21:36,940 --> 00:21:42,640
966
+ space variable ูŠูƒูˆู† ู„ุฅูŠุดุŸ ุงู„ู„ูŠ ุฃู†ุช ุจุชุญู…ู„ู‡ ู†ุชูŠุฌุฉ
967
+
968
+ 295
969
+ 00:21:42,640 --> 00:21:46,020
970
+ ุนู…ู„ูŠุฉ ุงู„ุฌู…ุน ู„ู„ู€ digits ู‡ุฐู‡. okay. ูุญู†ุณู…ูŠู‡ุง carryุŒ ูˆ
971
+
972
+ 296
973
+ 00:21:46,020 --> 00:21:52,230
974
+ ุจุฏุงูŠุฉ zeroุŒ ู„ุณู‡ ู…ุง ุจุฏุฃู†ุง ุงู„ุนู…ู„ูŠุฉ. four bit index.
975
+
976
+ 297
977
+ 00:21:52,230 --> 00:21:55,370
978
+ ุทุจุนุงู‹ ุงู„ู€ index ู‡ูˆ ุงู„ู„ูŠ ู‡ูŠูƒูˆู† ุงู„ุนุงู…ู„ ุชุจุนู†ุงุŒ ู„ุฃู† ุงุญู†ุง
979
+
980
+ 298
981
+ 00:21:55,370 --> 00:21:59,250
982
+ ุนุงุฏุฉ ู„ู…ุง ุจู†ุจู†ูŠ ู†ุฌู…ุนุŒ ุจู†ุจู†ูŠ ุจู†ู‚ุงุด ู…ู† ุงู„ุฃุญุฏุŒ ุงู„ุฃุญุฏุŒ ุฃู†ุง
983
+
984
+ 299
985
+ 00:21:59,250 --> 00:22:03,290
986
+ ุนุงุฑู ุฅู†ู‡ ู‡ุฐุง ุงู„ู€ index ุชุจุนู‡ุง zeroุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ุจุณ
987
+
988
+ 300
989
+ 00:22:03,290 --> 00:22:05,930
990
+ ุชุฎู„ุตูˆู‡ุงุŒ ุจุชุฑูˆุญูˆุง ู„ู„ุนุดุฑุงุชุŒ ุงู„ู€ index ูˆุงุญุฏุŒ ุจุนุฏูŠู†
991
+
992
+ 301
993
+ 00:22:05,930 --> 00:22:08,450
994
+ ุจุชุฑูˆุญูˆุง ู„ู„ู…ุฆุงุชุŒ ุงู„ู€ index ุฅุซู†ุงู†ุŒ ูู…ุนู†ู‰ ุฐู„ูƒ ุฅู†ู‡
995
+
996
+ 302
997
+ 00:22:08,450 --> 00:22:11,950
998
+ ุงู„ุงู†ุชู‚ุงู„ ููŠ ุนู…ู„ูŠุฉ ุงู„ุฌู…ุนุŒ ู‡ูˆ ุจู†ุงุก ุนู„ู‰ ุงู„ู€ indexุŒ ุฃูˆ ุงู„ู€
999
+
1000
+ 303
1001
+ 00:22:11,950 --> 00:22:15,790
1002
+ indices ุชุจุนู†ุง ู‡ุฐู‡. ูุจู†ุญุฏุฏู‡ุง ุจุงู„ู€ indexุŒ ูŠุนู†ูŠ ุญุชู‰
1003
+
1004
+ 304
1005
+ 00:22:15,790 --> 00:22:18,390
1006
+ ุงู„ู…ุชุบูŠุฑุงุช ุงู„ู„ูŠ ุจุชุณุชุฎุฏู…ู‡ุง ู„ู„ู€ loop ุชุจุนูƒุŒ ุจุฏู‡ุง ุชูƒูˆู†
1007
+
1008
+ 305
1009
+ 00:22:18,390 --> 00:22:23,290
1010
+ ู…ุนุจุฑุฉ. ู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู† ุฃุณุงุณูŠุงุช ุงู„ุจุฑู…ุฌุฉุŒ ุจุงู„ู…ู†ุงุณุจุฉุŒ ู‡ูŠ ู…ุด
1011
+
1012
+ 306
1013
+ 00:22:23,290 --> 00:22:26,430
1014
+ ุญุงุฌุฉ ุนุจุซูŠุฉุŒ ู„ุฃุŒ ู‡ูŠ ู…ู† ุฃุณุงุณูŠุงุช ุงู„ุจุฑู…ุฌุฉุŒ ูˆุงู„ู…ูุฑูˆุถ
1015
+
1016
+ 307
1017
+ 00:22:26,430 --> 00:22:29,950
1018
+ ุฃู†ุชู… ุนุงุฑููŠู† ุงู„ูƒู„ุงู… ู‡ุฐุง. ุงู„ู€ bit index ู‡ูŠ ุงุจุชุฏุงุกู‹ ู…ู†
1019
+
1020
+ 308
1021
+ 00:22:29,950 --> 00:22:33,610
1022
+ ุงู„ุตูุฑุŒ ู„ุฅูŠุดุŸ ู„ุฃู† ๏ฟฝ๏ฟฝุงู‚ุต ูˆุงุญุฏุŒ ุจุญูŠุซ ุฅู†ู‡ ู…ุฌู…ูˆุนู‡ู… in
1023
+
1024
+ 309
1025
+ 00:22:33,610 --> 00:22:38,410
1026
+ ู…ุฌู…ูˆุนู‡ู… inุŒ ู‡ูŠ ู…ู† ุตูุฑ ุฅู„ู‰ N ู†ุงู‚ุต ูˆุงุญุฏ. beginุŒ ุงุจุฏุฃ
1027
+
1028
+ 310
1029
+ 00:22:38,410 --> 00:22:43,130
1030
+ ู‡ู†ุจุฏุฃ ู†ู‚ูˆู„ุŒ ุนู†ุฏูŠ ุงู„ู€ bit sumุŒ ุฃูˆ ุงู„ู€ summation ู„ู„ู€ bits
1031
+
1032
+ 311
1033
+ 00:22:43,130 --> 00:22:48,920
1034
+ ู„ุฃู†ู‡ ุญุขุฎุฐู‡ุง bit by bitุŒ ู‡ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† A ุจุงู„ู€ index
1035
+
1036
+ 312
1037
+ 00:22:48,920 --> 00:22:52,020
1038
+ ุงู„ู„ูŠ ุงุญู†ุง ูˆุงู‚ููŠู† ุนู†ุฏู‡ุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุญุฏ. ู‡ู†ุจุฏุฃ .. ู‡ู†ุจุฏุฃ
1039
+
1040
+ 313
1041
+ 00:22:52,020 --> 00:22:55,400
1042
+ ุจุงู„ุฃุญุฏ ุฒุงุฆุฏ ุงู„ุฃุญุฏ. ุชุนุงุช ู…ูŠู†ุŸ ุชุนุงุช B ุฒุงุฆุฏุŒ ุฅุฐุง ููŠ
1043
+
1044
+ 314
1045
+ 00:22:55,400 --> 00:22:58,320
1046
+ carryุŒ ูˆุงุญู†ุง ุงู„ู€ carry ู…ุตูุฑูŠู†ู‡ ู…ู† ุงู„ุฃูˆู„ุŒ ู„ุฃู† ูŠุง ุฏูˆุจ
1047
+
1048
+ 315
1049
+ 00:22:58,320 --> 00:23:02,520
1050
+ ู„ุณู‡ ุจู†ุจุฏุฃ ุนู„ู‰ ุงู„ุฃุญุฏุŒ ู…ุงููŠุด ุดูŠุก. ุทูŠุจุŒ ุจุนุฏ ุฐู„ูƒ
1051
+
1052
+ 316
1053
+ 00:23:02,520 --> 00:23:08,120
1054
+ ู‡ู†ู‚ูˆู„ ุงู„ู€ summation ู‡ุฐู‡ุŒ ุนู…ู„ูŠุฉ ู…ุฑุญู„ูŠุฉุŒ ูˆุฃู†ุชู… ู‡ูŠูƒ
1055
+
1056
+ 317
1057
+ 00:23:08,120 --> 00:23:10,540
1058
+ ูƒู†ุชู… ุชุนู…ู„ูˆุง ูุนู„ูŠุงู‹ุŒ ุฃู†ุช ูƒู†ุช ุชุนู…ู„ ุนู…ู„ูŠุฉ ู…ุฑุญู„ูŠุฉ
1059
+
1060
+ 318
1061
+ 00:23:10,540 --> 00:23:14,720
1062
+ ู‚ุจู„ ู…ุง ู„ุณู‡ ุชุญุท ุงู„ุฑู‚ู…ุŒ ุฃู†ุช ุจุชุฌู…ุนุŒ ูˆุจุชุดูˆู ุฌุฏุด ุงู„ู‚ูŠู…ุฉ
1063
+
1064
+ 319
1065
+ 00:23:14,720 --> 00:23:16,960
1066
+ ุงูุฑุถ ุทู„ุน ุนู†ุฏูƒ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏุŒ ูˆูƒุงู† ููŠ ุงู„ู€ carry ููŠู‡
1067
+
1068
+ 320
1069
+ 00:23:16,960 --> 00:23:22,240
1070
+ ูƒู…ุงู† ูˆุงุญุฏุŒ ูŠุนู†ูŠ ูุนู„ูŠุงู‹ ุตุงุฑ ุนู†ุฏูƒ ุซู„ุงุซุฉ. ุฌู…ุนุช ุซู„ุงุซุฉุŒ ุตุญูŠุญ.
1071
+
1072
+ 321
1073
+ 00:23:22,240 --> 00:23:25,900
1074
+ ุทูŠุจุŒ ุงู„ุซู„ุงุซุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ุถู…ู† ุงู„ู€ systemุŒ ุถู…ู† ุงู„ู€ system
1075
+
1076
+ 322
1077
+ 00:23:25,900 --> 00:23:28,660
1078
+ ุงู„ู€ binaryุŒ ูˆู„ุง ุงู„ุฅุซู†ูŠู† ุญุชู‰ ู…ูˆุฌูˆุฏุฉ. ูุนุดุงู† ู‡ูŠูƒ ุฅูŠุด
1079
+
1080
+ 323
1081
+ 00:23:28,660 --> 00:23:33,720
1082
+ ุจุฏู†ุง ู†ุณูˆูŠุŸ ู†ู‚ูˆู„ ุฅู† ุงู„ู€ SุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ summationุŒ ูˆุงู„ู€
1083
+
1084
+ 324
1085
+ 00:23:33,720 --> 00:23:37,780
1086
+ element ุงู„ู„ูŠ ููŠ ุงู„ุนู†ุตุฑุŒ ุฃูˆ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู€ index bit
1087
+
1088
+ 325
1089
+ 00:23:37,780 --> 00:23:39,840
1090
+ index ุงู„ู„ูŠ ุฃู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏู‡ุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุญุฏุŒ ู‡ูŠูƒูˆู†
1091
+
1092
+ 326
1093
+ 00:23:39,840 --> 00:23:48,390
1094
+ ู„ู„ู†ุงุชุฌุŒ ูŠุณุงูˆูŠ ุงู„ู€ bit sum modulo 2. modulo 2. ูุฅุฐุง
1095
+
1096
+ 327
1097
+ 00:23:48,390 --> 00:23:52,630
1098
+ ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ูŠุง ุตูุฑ ูŠุง ูˆุงุญุฏุŒ ู…ุงููŠุด ุดูŠุก ุซุงู†ูŠ. ูŠุง ุตูุฑ
1099
+
1100
+ 328
1101
+ 00:23:52,630 --> 00:23:56,710
1102
+ ูŠุง ูˆุงุญุฏ. ู…ู…ุชุงุฒุŒ ุฎู„ุตู†ุงู‡ุง. ุตูุฑ ุฃูˆ ูˆุงุญุฏ. ุงู„ู€ carryุŒ ุงู„ู€
1103
+
1104
+ 329
1105
+ 00:23:56,710 --> 00:24:01,150
1106
+ carry ุงู„ุขู†ุŒ ู‡ูˆ ุงู„ู…ุชุจู‚ูŠ. ู…ุด ุงู„ู…ูุฑูˆุถ ู‡ุฐุง ุงู„ู…ุชุจู‚ูŠ ู‡ูŠูƒูˆู†
1107
+
1108
+ 330
1109
+ 00:24:01,150 --> 00:24:05,390
1110
+ ุฅูŠุด ุงู„ู„ูŠ ุถู„ ุนู†ุฏูƒ ุจุนุฏ ุงู„ุนู…ู„ูŠุฉุŸ ูุญุชูŠุฌูŠ ุชู‚ูˆู„ ุงู„ู€ bit
1111
+
1112
+ 331
1113
+ 00:24:05,390 --> 00:24:10,770
1114
+ sum ุนู„ู‰ ุฅุซู†ูŠู†ุŒ ูˆุชุฃุฎุฐ ุงู„ู€ floor. ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„ู…ุฌู…ูˆุน
1115
+
1116
+ 332
1117
+ 00:24:10,770 --> 00:24:15,340
1118
+ ุซู„ุงุซุฉุŒ ูุนู„ูŠุงู‹ุŒ ูŠุนู†ูŠ ูƒุงู† ููŠ ุนู†ุฏูƒ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ oneุŒ
1119
+
1120
+ 333
1121
+ 00:24:15,340 --> 00:24:20,040
1122
+ ุงู„ุซุงู†ูŠ oneุŒ ูˆููŠ ุนู†ุฏูƒ carryุŒ ู‡ุงูŠ ุตุงุฑุช ุซู„ุงุซุฉุŒ ุงู„ุซู„ุงุซุฉ
1123
+
1124
+ 334
1125
+ 00:24:20,040 --> 00:24:24,300
1126
+ ู‡ุฐู‡ ุนู„ู‰ ุฅุซู†ูŠู†ุŒ ูˆุงุญุฏ ูˆู†ุตูุŒ floor ูˆุงุญุฏุŒ ู…ุนู†ุงุชู‡ ุงู„ู€
1127
+
1128
+ 335
1129
+ 00:24:24,300 --> 00:24:28,900
1130
+ carry ููŠู‡ ูˆุงุญุฏุŒ ุงู„ู€ carry ูˆุฌุฏ ูˆุงุญุฏ. endุŒ ุฎู„ุตู†ุง ู‡ุงูŠ
1131
+
1132
+ 336
1133
+ 00:24:28,900 --> 00:24:36,360
1134
+ ุฅูŠุด ุญู†ุนู…ู„ุŸ ุงู„ุนู†ุตุฑ ุงู„ุชุงู„ูŠุŒ ุนุดุงู† ู†ุฑูˆุญ ู„ู…ูŠู†ุŸ ู„ู„ุนุดุฑุงุช.
1135
+
1136
+ 337
1137
+ 00:24:37,120 --> 00:24:40,220
1138
+ ุจุณ ุฎุฐ ุจุงู„ูƒ ุฅู† ุงู„ุนุดุฑุงุช ุงู„ุขู†ุŒ ู‚ุฏ ูŠูƒูˆู† ุงู„ู€ carry ุฅู„ู‡
1139
+
1140
+ 338
1141
+ 00:24:40,220 --> 00:24:45,640
1142
+ ู‚ูŠู…ุฉุŒ ุตุงุฑ ู‚ุฏ ูŠูƒูˆู† ุฅู„ู‡ ู‚ูŠู…ุฉุŒ ูˆุจุณุชู…ุฑ ู„ู…ุง ุชุฎู„ุต ู„ุฃู†
1143
+
1144
+ 339
1145
+ 00:24:45,640 --> 00:24:50,100
1146
+ ู†ุงู‚ุต ูˆุงุญุฏ. ุฎู„ุตู†ุง ุฅู„ู‰ N ู†ุงู‚ุต ูˆุงุญุฏุŒ ุงู†ุชู‡ู‰ ุงู„ูƒู„ุงู…. okay.
1147
+
1148
+ 340
1149
+ 00:24:50,100 --> 00:24:53,760
1150
+ ููŠ ุญุงุฌุฉ ู„ุณู‡ ู…ุง ุฃุฎุฐู†ุงุด ุจุงู„ู†ุง ู…ู†ู‡ุงุŒ ุฅู† ุฃู†ุช ุฎู„ุตุช ุฅู„ู‰ N
1151
+
1152
+ 341
1153
+ 00:24:53,760 --> 00:24:58,380
1154
+ ู†ุงู‚ุต ูˆุงุญุฏุŒ ุจุณ ุฅุฐุง ุงู„ู€ carry ููŠู‡ ู‚ูŠู…ุฉุŒ ููŠู‡ ุฅู„ู‡ ู‚ูŠู…ุฉ
1155
+
1156
+ 342
1157
+ 00:24:58,380 --> 00:25:04,880
1158
+ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ุจุชุฑูˆุญ ู„ุฅูŠุดุŸ ู„ุฃู†ู‡ ุฃุตุจุญ ูุชุญุช ู…ุนุงูƒ ุฎุงู†ุฉ
1159
+
1160
+ 343
1161
+ 00:25:04,880 --> 00:25:09,200
1162
+ ุฌุฏูŠุฏุฉ. ุฒูŠ ู„ู…ุง ุชู‚ูˆู„ ุชุณุนุฉ ูˆุชุณุนูŠู† ุฒุงุฆุฏ ุฎู…ุณุฉุŒ ุฃู†ุช ูุนู„ุงู‹
1163
+
1164
+ 344
1165
+ 00:25:09,200 --> 00:25:13,420
1166
+ ุนู†ุฏูƒ ุฎุงู†ุชูŠู†ุŒ ุจุณ ุงู„ู†ุงุชุฌ ุตุงุฑ ู…ุฆุฉ ูˆุฃุฑุจุนุฉุŒ ุงู„ู†ุงุชุฌ ูุนู„ุงู‹ ุจูŠุตูŠุฑ
1167
+
1168
+ 345
1169
+ 00:25:13,420 --> 00:25:19,120
1170
+ ู…ุฆุฉ ูˆุฃุฑุจุนุฉุŒ ูู…ุนู†ู‰ ุฐู„ูƒุŒ ุจุฏู‡ ุชุฃุฎุฐ ุจุงู„ูƒุŒ ุฅู†ู‡ ู„ุนู†ุฏ end ู‡ู†ุงุŒ ุฃู†ุช
1171
+
1172
+ 346
1173
+ 00:25:19,120 --> 00:25:24,080
1174
+ ุนุจูŠุช ุงู„ู€ indices ุชุจุนูˆู†ูƒ ู…ู† ุตูุฑ ุฅู„ู‰ N ู†ุงู‚ุต ูˆุงุญุฏ. ุทูŠุจุŒ ุงู„ู€
1175
+
1176
+ 347
1177
+ 00:25:24,080 --> 00:25:28,830
1178
+ carry ุจุชุญุทู‡ ููŠ ุฅูŠุดุŸ ููŠ end. ุตุงุฑ ุงู„ุขู† ุนู†ุฏูƒ S ู‡ุฐู‡ ูƒู€
1179
+
1180
+ 348
1181
+ 00:25:28,830 --> 00:25:34,110
1182
+ sequenceุŒ ู…ุฎุฒู† ู„ูƒ ู†ุงุชุฌ ุนู…ู„ูŠุฉ ุงู„ุฌู…ุนุŒ ุงุจุชุฏุงุกู‹ ู…ู† S
1183
+
1184
+ 349
1185
+ 00:25:34,110 --> 00:25:40,310
1186
+ 0ุŒ 1ุŒ 2ุŒ ... ุฅู„ู‰ N. ูู€ return ุจุงู„ู€ sequence ู‡ุฐุงุŒ return
1187
+
1188
+ 350
1189
+ 00:25:40,310 --> 00:25:43,910
1190
+ ุจุงู„ู€ sequence ู‡ุฐุง. ุฃุชูˆู‚ุน ุฅู†ู‡ุง ุจุณูŠุทุฉุŒ ู…ุด ูƒุซูŠุฑ ููŠู‡ุง
1191
+
1192
+ 351
1193
+ 00:25:43,910 --> 00:25:48,150
1194
+ ุชุนู‚ูŠุฏุŒ ู…ุงู‡ูŠ ู…ุดูƒู„ุฉ ูƒุจูŠุฑุฉ. ูุนุดุงู† ูƒู†ุง ู…ุงุดูŠูŠู† ุจู€ .. ุจู€
1195
+
1196
+ 352
1197
+ 00:25:48,150 --> 00:25:52,710
1198
+ .. ูŠุนู†ูŠ ุจุทุฑูŠู‚ุฉ ุฅู† ุฃู†ุชู… ู…ุงุฎุฐูŠู†ุŒ ุนุงุฑููŠู†ุŒ ูŠุนู†ูŠ ู…ุฑูƒุฒูŠู†
1199
+
1200
+ 353
1201
+ 00:25:52,710 --> 00:25:57,630
1202
+ ู…ุนู†ุง. ุทูŠุจุŒ ู„ู…ุง ุฃู‚ูˆู„ ุจุฏูŠ ุฃุนู…ู„ subtractionุŒ ุนู…ู„ูŠุฉ ุงู„ุทุฑุญุŒ
1203
+
1204
+ 354
1205
+ 00:25:57,630 --> 00:26:02,230
1206
+ ุนู…ู„ูŠุฉ ุงู„ุทุฑุญุŒ ู„ุฃุŒ ุดูˆูŠุฉ ุจุฏู†ุง ู†ูƒูˆู† ุญุฐุฑูŠู† ููŠ ุฌุฒุฆูŠุฉ ู…ู† ุงู„ู€
1207
+
1208
+ 355
1209
+ 00:26:02,230 --> 00:26:05,190
1210
+ binaryุŒ ูˆุงุญู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู€ binaryุŒ ุนู…ู„ูŠุฉ ุงู„ุทุฑุญ ู‡ูŠ
1211
+
1212
+ 356
1213
+ 00:26:05,190 --> 00:26:13,370
1214
+ ู…ุนู†ุงู‡ุง ุฅู† ู„ู…ุง ุฃู‚ูˆู„ A ู†ุงู‚ุต BุŒ ูƒุฃู†ูŠ ุจู‚ูˆู„ A ุฒุงุฆุฏ ุณุงู„ุจ
1215
+
1216
+ 357
1217
+ 00:26:13,370 --> 00:26:21,890
1218
+ BุŒ ุณุงู„ุจ B. ุทูŠุจุŒ ุงู„ุณุงู„ุจ ู‡ุฐู‡ ููŠ ุงู„ู€ binaryุŒ ููŠ ุฅู„ู‡ ู‚ูŠู…ุฉุŒ ุงู‡.
1219
+
1220
+ 358
1221
+ 00:26:21,890 --> 00:26:25,900
1222
+ ุงู„ู€ complementุŒ ุจุณ ู…ุด ุงู„ู€ first complementุŒ ุงู„ู€ two ..
1223
+
1224
+ 359
1225
+ 00:26:25,900 --> 00:26:29,020
1226
+ ุงู„ู€ two's complementุŒ ู…ุด ุงู„ู€ one complement. ุงู„ู€ two
1227
+
1228
+ 360
1229
+ 00:26:29,020 --> 00:26:33,700
1230
+ is complementุŒ ู„ุฃู†ู‡ ู„ูˆ ุฌูŠุช ุงุดุชุบู„ุช ุนู„ู‰ ุงู„ู€ first ุฃูˆ
1231
+
1232
+ 361
1233
+ 00:26:33,700 --> 00:26:37,820
1234
+ ุงู„ู€ .. ุงู‡ุŒ ุงู„ู€ one complementุŒ ูˆุฌู…ุนุชู‡ ู…ุน ุงู„ุนู†ุตุฑ
1235
+
1236
+ 362
1237
+ 00:26:37,820 --> 00:26:41,340
1238
+ ุงู„ุฃุตู„ูŠ ุชุจุนู‡ุŒ ู…ุด ู‡ูŠุทู„ุน ู…ุนูƒ ุตูุฑุŒ ู…ุง ุจูŠุทู„ุน ุงู„ู…ุฌู…ูˆุน ุตูุฑ.
1239
+
1240
+ 363
1241
+ 00:26:41,340 --> 00:26:46,740
1242
+ ุจูŠู†ู…ุงุŒ ูุนู„ูŠุงู‹ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ุตูุฑุŒ ู…ุด ู‡ูŠูƒ ู…ู†ุทู‚ูŠุŸ ุฃู†ุช
1243
+
1244
+ 364
1245
+ 00:26:46,740 --> 00:26:51,770
1246
+ ุฃุนุทู ุชุฎูŠู„ ู„ุญุงู„ูƒ ุฃูŠ ู‚ูŠู…ุฉ ู„ู€ B ุจุงู„ู€ binaryุŒ ูˆุฌูŠุจ ู„ู‡ุง
1247
+
1248
+ 365
1249
+ 00:26:51,770 --> 00:26:55,790
1250
+ ุงู„ู€ one complementุŒ ุงู„ู…ูุฑูˆุถ ุฃู†ุช ู…ุชุฎูŠู„ ุฅู†ู‡ ู‡ูˆ ุณุงู„ุจุŒ ุจูŠ
1251
+
1252
+ 366
1253
+ 00:26:55,790 --> 00:27:04,990
1254
+ ุทุจ ุชุฌู…ุนู‡ู…ุŒ ู…ุง ุจูŠุทู„ุน ุตูุฑ. ูู€ plus ูˆุงุญุฏ ููŠ ุงู„ู€ carryุŒ plus
1255
+
1256
+ 367
1257
+ 00:27:04,990 --> 00:27:09,230
1258
+ ูˆุงุญุฏ. ุงู„ู€ two's complementุŒ ุงู„ู€ two's complement ุจูŠู…ุดูŠ
1259
+
1260
+ 368
1261
+ 00:27:09,230 --> 00:27:16,130
1262
+ ุงู„ุญุงู„ุŒ ูุจุชูŠุฌูŠ ู„ู…ุง ุชูŠุฌูŠ ุชุฌู…ุนู‡ู… ูุนู„ูŠุงู‹ุŒ ุงู„ู€ ุจูŠุชุฌู…ุนู‡ุง ู…ุน
1263
+
1264
+ 369
1265
+ 00:27:16,130 --> 00:27:19,390
1266
+ ุงู„ุณุงู„ุจ ุจุชุงุนุชู‡ุงุŒ ุฃู†ุช ุถุงู…ู† ุฅู†ู‡ ููŠ ุงู„ุขุฎุฑ ู‡ูŠุฑูˆุญ ู„ุฅูŠุดุŸ
1267
+
1268
+ 370
1269
+ 00:27:19,390 --> 00:27:26,610
1270
+ ู„ุฒูŠุฑูˆุŒ ูˆู‡ูˆ ู‡ุฐุง ุงู„ู…ู†ุทู‚ูŠ. ูƒูŠูุŸ ุฃู†ุง ุจู‚ูˆู„ ุนู„ูŠู‡ุง ุนูƒุณ B.
1271
+
1272
+ 371
1273
+ 00:27:26,610 --> 00:27:30,230
1274
+ ุฌุฑุจูˆู‡ุง ุฃู†ุชู…. ุฃุฎุฐุชู… ุทุจุนุงู‹ ุงู„ู€ one ูˆุงู„ู€ two
1275
+
1276
+ 372
1277
+ 00:27:30,230 --> 00:27:32,530
1278
+ complementุŒ ุฅุซู†ูŠู†ุŸ ุงู„ู€ one complement ุฃุฎุฐุชูˆู‡ุงุŒ ูˆุงู„ู€ two
1279
+
1280
+ 373
1281
+ 00:27:32,530 --> 00:27:35,170
1282
+ complement ุฃุฎุฐุชูˆู‡ุงุŒ ุนู…ู„ุชู… check ุนู„ู‰ ุงู„ูƒู„ุงู… ู‡ุฐุงุŸ
1283
+
1284
+ 374
1285
+ 00:27:35,910 --> 00:27:37,730
1286
+ ุงู„ู…ูุฑูˆุถ ูƒู†ุช ุชุนู…ู„ ุงู„ู€ check ูƒู…ุงู†. ุฃู†ุช ุจุฏูƒ ุชู‚ู„ ุจุงู„ุธุจุท
1287
+
1288
+ 375
1289
+ 00:27:37,730 --> 00:27:42,470
1290
+ ุฎู„ุงุต. ูุฅุฐุง ุงุญู†ุง ู…ุชูู‚ูŠู†ุŒ ู…ุงููŠุด ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ. ุชู…ุงู…. ูุฅุฐุง ู‚ูŠู„
1291
+
1292
+ 376
1293
+ 00:27:42,470 --> 00:27:48,450
1294
+ ุงู„ู€ procedures ุจุดูƒู„ ุจุณูŠุทุŒ ุจุดูƒู„ ุฃุณุงุณูŠุŒ ูƒุงู†ุช ุงู„ุชุงู„ูŠ. ุญู†ุญุท
1295
+
1296
+ 377
1297
+ 00:27:48,450 --> 00:27:55,610
1298
+ ุงู„ู€ code ุชุจุนู†ุงุŒ ู‡ูŠู‡ ู‡ูŠ codeู†ุง. procedure subtractุŒ ุฃูŠ
1299
+
1300
+ 378
1301
+ 00:27:55,610 --> 00:28:01,030
1302
+ ุงุณู… ูŠุนุจุฑ ุนู† ุฃูŠ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ุจุฏูŠ ุฃุนู…ู„ู‡ุง ู„ู€ two binary
1303
+
1304
+ 379
1305
+ 00:28:01,030 --> 00:28:05,740
1306
+ numbersุŒ ู†ู…ุจุฑ ุงู„ุฃูˆู„ ูˆุงู„ุซุงู†ูŠ. ุนุณุงุณ ุฅู†ู‡ ุจุฏูŠ ูŠูƒูˆู† ุนุจุงุฑุฉ ุนู†
1307
+
1308
+ 380
1309
+ 00:28:05,740 --> 00:28:12,080
1310
+ ุงู„ู€ inverse. ู„ุงุญุธุŒ inverseุŒ ูŠุนู†ูŠ ู…ุฌุฑุฏ ุงู„ู€ once
1311
+
1312
+ 381
1313
+ 00:28:12,080 --> 00:28:17,340
1314
+ complementุŒ ุงู„ู„ูŠ ู‡ูˆ ูƒู„ digit ุจุชุนูƒุณู‡ุง ูู‚ุท. ู‡ุฐุง ุงู„ู€
1315
+
1316
+ 382
1317
+ 00:28:17,340 --> 00:28:21,820
1318
+ once complement. ู…ุด ุดุงูŠูุŸ ู„ูˆ ุญุทูŠุช bar ููˆู‚ุŒ ูุจุนุฑู ุฅู†
1319
+
1320
+ 383
1321
+ 00:28:21,820 --> 00:28:24,140
1322
+ ุฃู†ุช ุจุชุชูƒู„ู… ุนู† ุงู„ู€ once complementุŒ ุจู…ุนู†ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1323
+
1324
+ 384
1325
+ 00:28:24,140 --> 00:28:30,140
1326
+ inverse bit-wise. bit-wiseุŒ ุฅูŠุด ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ุจู…ุณูƒู‡ุง ุจุช by
1327
+
1328
+ 385
1329
+ 00:28:30,140 --> 00:28:33,500
1330
+ ุจุชุŒ ูƒู„ ุจุช ูˆุงุญุฏ ุจุฌู„ุจู‡ุง ู„ุตูุฑุŒ ูˆูƒู„ ุจุช ุตูุฑ ุจุฌู„ุจู‡ุง ู„ูˆุงุญุฏ
1331
+
1332
+ 386
1333
+ 00:28:33,500 --> 00:28:37,920
1334
+ ูˆุจุณุŒ ุชู…ุงู…. ู„ูˆ ุฌู…ุนุชู‡ุง ุนู„ู‰ ุงู„ุฃุตู„ูŠ ุชุจุนู‡ุงุŒ ู…ุด ุญุชุทู„ุน ุตูุฑ.
1335
+
1336
+ 387
1337
+ 00:28:37,920 --> 00:28:43,640
1338
+
1339
+ 445
1340
+ 00:33:34,520 --> 00:33:43,060
1341
+ ู‡ู†ุง ูˆุงุญุฏ ุจุณ ู‡ูŠุจุฏุฃ ู…ู† ุฎุงู†ุชู‡ ูˆุจุชุฌู…ุน ู‡ุฐู‡
1342
+
1343
+ 446
1344
+ 00:33:43,060 --> 00:33:48,190
1345
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠู‡ุง ูƒุงู†ุช ู…ู…ุชุงุฒุฉุŒ ู…ู…ุชุงุฒุฉ. ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†
1346
+
1347
+ 447
1348
+ 00:33:48,190 --> 00:33:52,770
1349
+ ุฃู†ุช ููŠ ูƒู„ ุนู…ู„ูŠุฉ ุถุฑุจ ู‡ู„ูˆู‚ุช ุจู†ุง ู†ุทู„ุน ุจุดูˆูŠุฉ ุดูˆุงู‡ุฏุŒ ุฅูŠุด
1350
+
1351
+ 448
1352
+ 00:33:52,770 --> 00:33:55,750
1353
+ ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง ุจุงู„ุธุจุทุŸ ุจุฏู†๏ฟฝ๏ฟฝ ู†ุญู„ู„ ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ุง ู„ุฃู† ู‡ุฐุง
1354
+
1355
+ 449
1356
+ 00:33:55,750 --> 00:33:59,530
1357
+ ู‡ูˆ ุงู„ู€ code ุงู„ู„ูŠ ุจุฏู†ุง ู†ุดุชุบู„ู‡. ู‡ุชู†ุญู„ู„ ุงู„ู…ูˆุถูˆุน ูุนู„ูŠุง
1358
+
1359
+ 450
1360
+ 00:33:59,530 --> 00:34:04,070
1361
+ ุฃู†ุช ู„ู…ุง ุจุชูŠุฌูŠ ุชุถุฑุจ ููŠู‡ ุฃูŠ ุฑู‚ู… ููŠ ุงู„ุฎุงู†ุฉ ููŠ ุฎุงู†ุฉ
1362
+
1363
+ 451
1364
+ 00:34:04,070 --> 00:34:10,970
1365
+ ู…ุนูŠู†ุฉุŒ ูƒุฃู†ูƒ ุจุชุถูŠู ู‚ุฏุงู…ู‡ ุนุฏุฏ ุฃุตูุงุฑ ุจุงู„ุฎุงู†ุฉุŒ ูŠุนู†ูŠ ูƒุฃู†ูƒ
1366
+
1367
+ 452
1368
+ 00:34:10,970 --> 00:34:14,390
1369
+ ุฃู†ุช ู‡ู†ุง ุถูŠูุช ุตูุฑุŒ ุตูุฑ. ูƒุฃู†ูƒ ุฃู†ุช ู‡ู†ุง ุถูŠููŠ ูƒู…ุงู† ุตูุฑ
1370
+
1371
+ 453
1372
+ 00:34:14,390 --> 00:34:18,770
1373
+ ูู„ุงุญุธ ู„ู…ุง ุถุฑุจุช ููŠ ุงู„ูˆุงุญุฏ ู‡ุฐุงุŒ ุจุฏุฃ ู†ุทู„ุน ูˆุงุญุฏ. ุจุชุดูˆู
1374
+
1375
+ 454
1376
+ 00:34:18,770 --> 00:34:26,230
1377
+ ุฌุฏุง ุฅูŠุด ุงู„ู€ index ุชุจุนู‡ ูˆุจุชุถูŠู ุนุฏุฏ ุฃุตูุงุฑ ู‚ุฏุงู…ู‡ุŒ ู…ุด ู‡ูŠูƒุŸ
1378
+
1379
+ 455
1380
+ 00:34:26,230 --> 00:34:30,830
1381
+ ุตุญุŒ ูŠุนู†ูŠ ู‡ูŠ ุงู„ููƒุฑุฉ ูƒู†ุง ู†ุนู…ู„ู‡ุง ุตุญุŒ ุจุณ ู…ุง ูƒุงู†ุชุด ูƒุชูŠุฑ
1382
+
1383
+ 456
1384
+ 00:34:30,830 --> 00:34:33,630
1385
+ ู…ุนุจุฑุฉ ู„ู…ุง ูƒู†ุช ุจู‚ูˆู„ shift. ู„ุฃุŒ ู‡ูŠ ุงู„ู…ูˆุถูˆุน ุฃูƒุจุฑ ู…ู†
1386
+
1387
+ 457
1388
+ 00:34:33,630 --> 00:34:37,610
1389
+ ู…ุฌุฑุฏ shift. ู‡ูŠ ุฃู†ุง ุจุถูŠู ุฃุตูุงุฑุŒ ุงู„ุตุญ ุฃู† ุฃู†ุง ุจุถูŠู
1390
+
1391
+ 458
1392
+ 00:34:37,610 --> 00:34:40,810
1393
+ ุฃุตูุงุฑุŒ ู„ุฃู†ู‡ ุงู„ุขู† ุจุฏู‡ุง ุชุจูŠู† ุงู„ุฃุตูุงุฑ ุงู„ู„ูŠ ู‡ู†ุถูŠูู‡ุง.
1394
+
1395
+ 459
1396
+ 00:34:41,750 --> 00:34:45,270
1397
+ ุงู„ูƒู…ุจูŠูˆุชุฑ ู…ุง ูŠุนุฑู ูƒู„ู…ุฉ shiftุŒ ู…ุง ูŠุนู†ูŠ shift ู…ุด
1398
+
1399
+ 460
1400
+ 00:34:45,270 --> 00:34:49,750
1401
+ ู‡ูŠูู‡ู…ู‡ุง. shift ู‡ูŠูู‡ู… ุงู„ุชุงู„ูŠ. ูˆุงุถุญุŸ ุชู‡ุฏู‰ุŒ ุงู‡ุŒ ู„ุฅู† ู‡ูˆ
1402
+
1403
+ 461
1404
+ 00:34:49,750 --> 00:34:52,490
1405
+ ู†ูุณู‡ ุฅุญู†ุงุŒ ุฃูƒุณุฏู‡ ุนู„ู‰ ุงู„ู€ pseudocodeุŒ ุงู„ู€ procedure multiply
1406
+
1407
+ 462
1408
+ 00:34:52,490 --> 00:34:57,670
1409
+ ูˆู‡ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ู€ two binary numbersุŒ ุจุฏู†ุง ู†ุถุฑุจู‡ ููŠ ุจุนุถ
1410
+
1411
+ 463
1412
+ 00:34:57,670 --> 00:35:02,830
1413
+ ุจู…ุซู„ู‡ a ูˆ b natural numberุŒ ุฎู„ุงุต ุชู…ุงู…. product = zero
1414
+
1415
+ 464
1416
+ 00:35:02,830 --> 00:35:06,330
1417
+ ุจุฑุถู‡ ุจุฏู†ุง ู†ุตูุฑ ุนู…ู„ูŠุฉ ุงู„ุชุฌู…ูŠุน ุงู„ู„ูŠ ุจุฏู†ุง ู†ุดุชุบู„ ููŠู‡ุง
1418
+
1419
+ 465
1420
+ 00:35:06,330 --> 00:35:09,750
1421
+ ู„ุฃู†ู‡ ู„ุงุญุธูˆุง ุฃู† ู‡ูŠ ููŠ ุงู„ู†ู‡ุงูŠุฉ ุนู…ู„ูŠุฉ ุชุฌู…ูŠุนุŒ ุฃู†ุง ู‚ุงุนุฏ
1422
+
1423
+ 466
1424
+ 00:35:09,750 --> 00:35:15,720
1425
+ ุจุฌู…ุน. ุนู…ู„ูŠุฉ ุงู„ุถุฑุจ ู…ุง ู‡ูŠ ุนู…ู„ูŠุฉ ุฌู…ุน ุจุณ ุญุณุจ ุงู„ุฎุงู†ุงุช ูˆ
1426
+
1427
+ 467
1428
+ 00:35:15,720 --> 00:35:20,500
1429
+ ุงู„ุฃุตูุงุฑ ุงู„ู„ูŠ ู‡ุถูŠูู‡ุง ู„ูƒู„ ุฎุงู†ุฉ. ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ for loop
1430
+
1431
+ 468
1432
+ 00:35:20,500 --> 00:35:26,480
1433
+ ุชุจุนุชู†ุงุŒ ุงุจุชุฏุฃุช ู…ู† ุตูุฑ. ูุฃู†ุง ุนู†ุฏ ุงู„ูˆุงุญุฏ ุงุจุชุฏุฃุช ุจุงู„ูˆุงุญุฏุŒ ู‡ูŠู†
1434
+
1435
+ 469
1436
+ 00:35:26,480 --> 00:35:28,800
1437
+ ุจุฏุฃุŒ ุฃุจุฏุฃ ุฃุดุบู„ ุนู„ู‰ ูˆุงุญุฏุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุจุฏุฃุŒ ุฃุจุฏุฃ ุจุงู„ุตูุฑ
1438
+
1439
+ 470
1440
+ 00:35:28,800 --> 00:35:35,200
1441
+ ุงู„ุฃูˆู„. ู‡ุฐุง ู†ุถุฑุจู‡ ููŠ ุงู„ุฑู‚ู…ุŒ ู†ุถุฑุจู‡ ููŠ ุงู„ุฑู‚ู…. ูƒูˆูŠุณุฉ ู„ุนู†ุฏ
1442
+
1443
+ 471
1444
+ 00:35:35,200 --> 00:35:39,220
1445
+ ู…ุง ู†ูƒู…ู„ ูƒู„ ุงู„ุฑู‚ู…. ูุฅุฐุง ูƒุงู†ุช ุจ ุตูุฑ
1446
+
1447
+ 472
1448
+ 00:35:41,810 --> 00:35:46,590
1449
+ ู‡ูŠู‡ุง ู‡ุฐู‡. ุจูŠ ุตูุฑ ุชุณุงูˆูŠ ูˆุงุญุฏุŒ ุฅูŠุด ุงู„ู„ูŠ ุจุฏู†ุง ู†ุนู…ู„ู‡ุŸ
1450
+
1451
+ 473
1452
+ 00:35:46,590 --> 00:35:51,610
1453
+ ุจุฏู†ุง ู†ู†ุฒู„ ุฅูŠู‡ุŸ ุจุฏู†ุง ู†ู†ุฒู„ ุฅูŠู‡ุŸ ูุงู„ู€ product ู‡ู†ุง
1454
+
1455
+ 474
1456
+ 00:35:51,610 --> 00:36:00,410
1457
+ ุจูŠุตูŠุฑ ุฅูŠู‡ุŸ ูŠุณุงูˆูŠ ู‚ูŠู…ุฉ a ุจุนุฏุฏ ุฃุตูุงุฑ ุญุณุจ ุงู„ู€ bุŒ ุจุนุฏุฏ
1458
+
1459
+ 475
1460
+ 00:36:00,410 --> 00:36:07,670
1461
+ ุฃุตูุงุฑ ุญุณุจ ุงู„ู€ bุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡ุง ุจุชุตูŠุฑ addุŒ ู‡ูŠู‡ุง ู„ุฃุŒ a ูˆุนุฏุฏ
1462
+
1463
+ 476
1464
+ 00:36:07,670 --> 00:36:14,800
1465
+ ุฃุตูุงุฑ ุจุงู„ู€ i. ูุฃู†ุง ุจุฏูŠุช ุจุตูุฑุŒ ู…ุด ู…ุญุชุงุฌ ุตูุฑุŒ ูุจุช...
1466
+
1467
+ 477
1468
+ 00:36:14,800 --> 00:36:20,240
1469
+ ุจุชู†ุฒู„ ุงู„ู€ a ุฒูŠ ู…ุง ู‡ูŠุŒ ู„ุฃู†ู‡ ุฃู†ุง ู…ุงุฒู„ุช ููŠ ุงู„ูˆุงุญุฏุŒ ู…ุงุฒู„ู†ุง
1470
+
1471
+ 478
1472
+ 00:36:20,240 --> 00:36:24,940
1473
+ ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ูˆุงุญุฏ. ุชู†ุฒู„ ูƒู…ุง ู‡ูŠุŒ ู‡ูŠ ุงู„ู€ aุŒ ุงู„ู€ 101 ู„ูˆ...
1474
+
1475
+ 479
1476
+ 00:36:24,940 --> 00:36:28,040
1477
+ ู„ูˆ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ูˆุงุญุฏุŒ ูุงู„ู€ 101 ุจุชู†ุฒู„... ุงู„ู„ูŠ ู‡ูŠ 101
1478
+
1479
+ 480
1480
+ 00:36:28,040 --> 00:36:32,860
1481
+ ูŠุนู†ูŠ ุจุชู†ุฒู„ ุฒูŠ ู…ุง ู‡ูŠุŒ ู‡ู†ุง ู…ุง ู†ุถูŠูู„ู‡ุงุด ุฃูŠ ุดูŠุกุŒ ุฎู„ุงุต ุฒูŠ
1482
+
1483
+ 481
1484
+ 00:36:32,860 --> 00:36:37,100
1485
+ ู…ุง ู‡ูŠ ุฒุงุฆุฏ ุงู„ู€ product ุงู„ู„ูŠ ูƒุงู† ู…ูˆุฌูˆุฏ ุฃุตู„ุงุŒ ุตูุฑ. ุทูŠุจ
1486
+
1487
+ 482
1488
+ 00:36:37,100 --> 00:36:44,260
1489
+ ูุนู„ูŠุง ุงุชุฎุฒู† ุนู†ุฏูŠ ู„ุฃู† ุญุชู‰ ุงู„ู„ุญุธุฉ ุงู„ุฑู‚ู… ุงู„ุฃูˆู„ ุฎู„ุงุต
1490
+
1491
+ 483
1492
+ 00:36:44,260 --> 00:36:54,420
1493
+ ู‡ุฐุง ุฃุตุจุญ savedุŒ ูƒูˆูŠุณ ูˆู…ูˆุฌูˆุฏ ุถู…ู† product. ุงุชู†ูŠู†ุŒ ุฃูŠ
1494
+
1495
+ 484
1496
+ 00:36:54,420 --> 00:36:58,660
1497
+ ูˆุงุญุฏุŒ ุฃูŠ ูˆุงุญุฏ. ู…ุนู†ุงุชู‡ ุจุชุฑูˆุญ ู„ู„ุนู†ุตุฑ ุงู„ู„ูŠ ูˆุฑุงู‡ุŒ and so on
1498
+
1499
+ 485
1500
+ 00:36:58,660 --> 00:37:05,710
1501
+ ุจู‡ุฐุง ุงู„ุดูƒู„. ุทูŠุจุŒ ุฅุฐุง aุŒ ูˆุฅุฐุง ุงู„ู€ b ูˆุงุญุฏ ูŠุณุงูˆูŠ ูˆุงุญุฏ
1502
+
1503
+ 486
1504
+ 00:37:05,710 --> 00:37:12,130
1505
+ ุจุฑุถู‡ ุงุฑุฌุน ู†ุฒู„ูŠ aุŒ ุจุณ ุนู„ู‰ ูƒู„ุงู…ูƒ ูˆู…ุง ุฃุฎุฏู‡ุง shift. ุทุจ ุงู„ู€
1506
+
1507
+ 487
1508
+ 00:37:12,130 --> 00:37:16,990
1509
+ shift ุฏู‡ ุนุจุงุฑุฉ ุนู† ุฅูŠุดุŸ ุตูุฑ ููŠ ุงู„ูŠู…ูŠู†ุŒ ู…ุนู†ุงุชู‡ ุฒุฏู„ูŠ
1510
+
1511
+ 488
1512
+ 00:37:16,990 --> 00:37:20,970
1513
+ ุนุฏุฏ ุฃุตูุงุฑ ุจู‚ูŠู…ุฉ iุŒ i ู‚ูŠู…ุชู‡ุง ูˆุงุญุฏุŒ ู…ุนู†ุงุชู‡ ุจุฒูŠุฏ ุตูุฑ
1514
+
1515
+ 489
1516
+ 00:37:20,970 --> 00:37:25,670
1517
+ ูˆุงุญุฏ. ูุนู„ุงุŒ ุงู‡ุŒ ู‡ูŠู†ุฒูˆุฏู†ุง ุตูุฑ ูˆุงุญุฏ. ูุนู„ุงุŒ ุฅุญู†ุง ูุนู„ุง ุฒุฏู†ุง
1518
+
1519
+ 490
1520
+ 00:37:25,670 --> 00:37:32,360
1521
+ ุตูุฑ ูˆุงุญุฏุŒ ุชู…ุงู…. ูˆุงุฌู…ุนู‡ุง ุนู„ู‰ ุงู„ู€ product ุงู„ุณุงุจู‚. ูู…ุนู†ู‰
1522
+
1523
+ 491
1524
+ 00:37:32,360 --> 00:37:42,380
1525
+ ุฐู„ูƒ ุฑุงุญ ู†ุฌู…ุน ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุนู„ู‰ ุจุนุถ. ู…ูŠู†
1526
+
1527
+ 492
1528
+ 00:37:42,380 --> 00:37:46,580
1529
+ ุงู„ู„ูŠ ู…ุด ู‡ูŠุชุทุจู‘ุญุŸ ุจุงู„ุธุจุทุŒ ุงู‡ุŒ ุงู‡ุŒ ุจุงู„ุธุจุท. ุฅุญู†ุง ู‡ู†ุง
1530
+
1531
+ 493
1532
+ 00:37:46,580 --> 00:37:48,640
1533
+ ุดุบุงู„ูŠู†ุŒ ุงู„ู…ูุฑูˆุถ ุฃู† ู‡ูˆ ู…ุด ู‡ูŠุนู…ู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู„ู…ุง
1534
+
1535
+ 494
1536
+ 00:37:48,640 --> 00:37:51,460
1537
+ ูŠุชุณุงูˆูŠ ูˆุงุญุฏุŒ ู„ุฃู†ู‡ ุญุชู‰ ุงู„ู„ุญุธุฉ ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ ุงู„ู„ูŠ ุฅุญู†ุง
1538
+
1539
+ 495
1540
+ 00:37:51,460 --> 00:37:54,220
1541
+ ุนุงู…ู„ูŠู†ู‡ ุจุงู„ู…ุซุงู„ ุชุจุนู†ุง. ุงู„ู…ุซุงู„ ุชุจุนู†ุง ู…ุงู„ู‡ุงุด ู…ุนู†ู‰ุŒ ู„ูŠุดุŸ
1542
+
1543
+ 496
1544
+ 00:37:54,220 --> 00:37:58,100
1545
+ ู„ุฅู† ุฃู†ุช ุจุชุฌู…ุน ุฃุตูุงุฑุŒ ููˆูุฑ ุนู„ู‰ ุญุงู„ุฉ ุชุฌู…ูŠุน ุงู„ุฃุตูุงุฑ ุจุณ
1546
+
1547
+ 497
1548
+ 00:37:58,100 --> 00:38:02,890
1549
+ ู„ุฃูƒุซุฑุŒ ูˆู„ุง ู‚ู„ุช ุฃู†ุช ุตุงุฑุช ูˆุงุญุฏ ุนู†ุฏ ุงู„ุงุชู†ูŠู† ู…ุซู„ุงุŒ ุนู†ุฏ
1550
+
1551
+ 498
1552
+ 00:38:02,890 --> 00:38:07,150
1553
+ ุงู„ุงุชู†ูŠู†ุŒ ุจุฏู†ุง ู†ุฒูˆุฏ ูˆุงุญุฏ. ุณุฑู‚ ู‚ูŠู…ุชู‡ุง ูˆุงุญุฏุŒ okay. ู†ุฒู„ูŠ
1554
+
1555
+ 499
1556
+ 00:38:07,150 --> 00:38:14,870
1557
+ ุงู„ู€ a ูˆุนู„ู‰ ูŠู…ูŠู†ู‡ุง ุนุฏุฏ ุฃุตูุงุฑ ุญุณุจ ุงู„ู€ index ุจุชุงุนุช b
1558
+
1559
+ 500
1560
+ 00:38:14,870 --> 00:38:21,410
1561
+ ุทูŠุจุŒ ุฌุฏ ุฅูŠุด index bุŸ ุงุชู†ูŠู†. ุฒูˆุฏู„ูŠ ุตูุฑูŠู† ุนู„ู‰ ูŠู…ูŠู†ู‡ุง
1562
+
1563
+ 501
1564
+ 00:38:21,410 --> 00:38:24,210
1565
+ ุนู„ู‰ ุงู„ู€ sequence ุชุจุนู‡ุง. ู„ูˆ ู‡ุฐู‡ array ุฃู†ุช ุญุงุทุทู‡ุง ุจุงู„ุดูƒู„
1566
+
1567
+ 502
1568
+ 00:38:24,210 --> 00:38:27,950
1569
+ arrayุŒ ุงู„ู…ุนู†ู‰ ุฃู†ูƒ ุจุชุถูŠูู„ูƒ ุตูุฑูŠู†. ู‡ุงูŠ ุงู„ุตูุฑูŠู†
1570
+
1571
+ 503
1572
+ 00:38:30,540 --> 00:38:34,040
1573
+ ูุนู„ุง ุฅุญู†ุง ุถูู†ุง ุตูุฑูŠู†. ูุนู…ู„ูŠุฉ ุงู„ู€ shift ู‡ูŠ ุนู…ู„ูŠุฉ
1574
+
1575
+ 504
1576
+ 00:38:34,040 --> 00:38:38,420
1577
+ ุฅุถุงูุฉ ุฃุตูุงุฑ ููŠ ุงู„ุถุฑุจุŒ ู‡ูŠ ู…ุด ู…ุฌุฑุฏ shiftุŒ ุฎู„ุงุตุŒ ู„ุฃุŒ ู‡ูŠ
1578
+
1579
+ 505
1580
+ 00:38:38,420 --> 00:38:42,380
1581
+ ุนู…ู„ูŠุฉ ุฅุถุงูุฉ ุฃุตูุงุฑุŒ ู„ูŠุดุŸ ู„ุฃู† ุฃู†ุช ุฎู„ุช ุฃุตู„ุง ุงู„ุฎุงู†ุฉ
1582
+
1583
+ 506
1584
+ 00:38:42,380 --> 00:38:47,020
1585
+ ุชู‚ุนุฏุช ุชุฎุชู„ูุŒ ู‡ูŠ ุจุทู„ุช ุจุงุฏูŠุฉ ู…ู† ุฎุงู†ุฉ ูˆุงุญุฏุŒ ู‡ูŠ ุตุงุฑุช
1586
+
1587
+ 507
1588
+ 00:38:47,020 --> 00:38:52,280
1589
+ ุจุงุฏูŠุฉ ู…ู† ุฎุงู†ุฉ ู…ุฆุงุช. ุทูŠุจุŒ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู†ู‡ ููŠ ุฎุงู†ุฉ ูˆุงุญุฏุŒ ูˆ
1590
+
1591
+ 508
1592
+ 00:38:52,280 --> 00:38:56,180
1593
+ ุนุดุฑุงุช ู…ุง ุญุฏุด ุจู†ุฏู‚ ู„ุฎุงู†ุฉ ุงู„ู…ุฆุงุชุŒ ูˆู…ุง ู„ูˆุด ููŠ ุงู„ูˆุงุญุฏุŒ ูˆ
1594
+
1595
+ 509
1596
+ 00:38:56,180 --> 00:38:59,160
1597
+ ุงู„ุนุดุฑุงุชุŒ ุตุญุŸ ู…ุง ููŠุด ุญุงุฌุฉ ุงุณู…ู‡ุง ู‡ูŠูƒุŒ ุฃู†ุง ูˆุงู„ู„ู‡ ูุฌุฃุฉ
1598
+
1599
+ 510
1600
+ 00:38:59,160 --> 00:39:02,700
1601
+ ุจุฏุฃุช ู…ู† ุงู„ู…ุฆุงุชุŒ ู…ุง ููŠุด ุฅุดูŠ ู‡ูŠูƒ ุงุณู…ู‡ุŒ ูู…ุฏุฃุช... ู…ุฏุฃุช ู…ู†
1602
+
1603
+ 511
1604
+ 00:39:02,700 --> 00:39:08,500
1605
+ ุงู„ู…ุฆุงุชุŒ ุจุฏูŠ ุฃุถูŠู ุตูุฑ ู„ู„ุนุดุฑุงุชุŒ ูˆุตูุฑ ู„ูŠุด ู„ู„ูˆุงุญุฏุŸ ุฎู„ุตู†ุง
1606
+
1607
+ 512
1608
+ 00:39:08,500 --> 00:39:12,520
1609
+ ุงู„ู€ code. ูุถู„ ุณุคุงู„ ุจุจุฑู…ุฌุฉุŒ ุฃู†ุง ู…ู…ูƒู† ุฃุถูŠู ุตูุฑ ุฌู†ุจู‡ุงุŸ
1610
+
1611
+ 513
1612
+ 00:39:12,520 --> 00:39:15,520
1613
+ ู…ู…ูƒู†ุŒ ูˆู„ุง ู„ุงุฒู… ุฃุนู…ู„ู‡ุง methodุŸ ุฃู†ุง ุฅูŠุด ู‚ู„ุช ู„ูƒุŸ ุฅุฐุง
1614
+
1615
+ 514
1616
+ 00:39:15,520 --> 00:39:18,880
1617
+ ู‚ู„ุช ู„ูƒุŒ ุฅุฐุง ุฃู†ุช ู…ุชุนุงู…ู„ ู…ุนุงู‡ุง ู‚ูŠู…ู‡ุง ุงู‡ ุจุชุถูŠู
1618
+
1619
+ 515
1620
+ 00:39:21,470 --> 00:39:23,850
1621
+ StringุŒ ู…ุง ู‡ูŠ ุงู„ู€ array ุฃูˆ ุงู„ู€ stringุŒ ุฃูˆ ุฎู„ุงุต ู…ุง ู‡ูŠ
1622
+
1623
+ 516
1624
+ 00:39:23,850 --> 00:39:29,030
1625
+ string array sequence ุจุชุถูŠูู‡ุงุŒ ู‡ุงู„ุตูุฑูŠู† ุนู„ูŠู‡ุงุŒ ุจู…ุดูŠ
1626
+
1627
+ 517
1628
+ 00:39:29,030 --> 00:39:29,270
1629
+ ุงู„ุญู„
1630
+
1631
+ 518
1632
+ 00:39:38,400 --> 00:39:43,180
1633
+ ู„ุฃุŒ ู„ุฃุŒ ุนุงุฏูŠุŒ ุนุงุฏูŠุŒ ุจุชุนู…ู„ู‡ุง... ุจุช... ุจุฏูƒ ุชุนู…ู„ู‡ุง ู‡ู†ุง
1634
+
1635
+ 519
1636
+ 00:39:43,180 --> 00:39:46,600
1637
+ method ู„ุญุงู„ู‡ุงุŒ ุจุชุถูŠู ู„ู‡ุง fourุŒ ุงู„ู„ูŠ ู‡ูˆ ููŠ ูƒู„ ู…ุฑุฉ
1638
+
1639
+ 520
1640
+ 00:39:46,600 --> 00:39:50,540
1641
+ ุจุชุถูŠู ุตูุฑุŒ ุฃู†ุช ููŠ ุงู„ู†ู‡ุงูŠุฉ ุนู„ู‰ ู†ูุณ ุงู„ู€ arrayุŒ ู‡ูŠ ู‡ูŠุŒ ูˆ
1642
+
1643
+ 521
1644
+ 00:39:50,540 --> 00:39:53,160
1645
+ ู…ู…ูƒู† ุชูƒูˆู† temporary array ุฃูˆ temporary string
1646
+
1647
+ 522
1648
+ 00:39:54,380 --> 00:39:57,460
1649
+ ู‡ุชุณุชุนู…ู„ู‡ ุนู„ู‰ ุทูˆู„ ุงู„ุนู…ู„ูŠุฉ ูƒุงู…ู„ุฉุŒ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฃูˆู„ ู…ุฑุฉ
1650
+
1651
+ 523
1652
+ 00:39:57,460 --> 00:40:02,560
1653
+ ุฃู†ุช ู‡ุชุงุฎุฏ ู†ุณุฎุฉ ู…ู† ุงู„ุฑู‚ู… ุชุจุนูƒุŒ ุชู…ุงู…ุŸ ููŠ ุงู„ู€ loop...
1654
+
1655
+ 524
1656
+ 00:40:02,560 --> 00:40:05,260
1657
+ ููŠ ุงู„ู€ loop... ุงู„... ุงู„... ุฃูˆู„ loop ููŠ ุงู„ู€ loop
1658
+
1659
+ 525
1660
+ 00:40:05,260 --> 00:40:09,540
1661
+ ุงู„ุฃูˆู„ู‰ุŒ ุฃู†ุช ู‡ุชุถูŠู one zeroุŒ ูŠุนู†ูŠ ูƒู„ ุงู„ู„ูŠ ู‡ุชุนู…ู„ู‡ุŒ
1662
+
1663
+ 526
1664
+ 00:40:09,540 --> 00:40:16,960
1665
+ method ุฃุถูŠู ุจุณ ุนู†ุตุฑ ุตูุฑุŒ ุจุณุŒ ููŠ ูƒู„ ู„ูุฉ ู‡ุชุถูŠู...
1666
+
1667
+ 527
1668
+ 00:40:16,960 --> 00:40:23,470
1669
+ ู‡ุชุถูŠูู„ูƒ ุนู†ุตุฑุŒ ูˆุงุชุฌู…ุนุŒ ุนู†ุตุฑ ูˆุงุชุฌู…ุน. ูู…ู…ูƒู† ุชุนู…ู„ ุงู„ู€
1670
+
1671
+ 528
1672
+ 00:40:23,470 --> 00:40:26,010
1673
+ methodุŒ ูˆุงู„ู€ method ุฏู‡ ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† ูƒู„ ู…ุฑุฉ ุฃุถูŠู
1674
+
1675
+ 529
1676
+ 00:40:26,010 --> 00:40:30,150
1677
+ ูˆุงุญุฏุŒ ู„ุฃ
1678
+
1679
+ 530
1680
+ 00:40:30,150 --> 00:40:32,750
1681
+ ุฃูˆู„ ู„ูุฉ ุฃู†ุง ู…ุด ู‡ุชุถูŠูุด ุฅูŠู‡ุŸ ู‡ุชูƒูˆู† ู†ูุณ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุฃู†ุช
1682
+
1683
+ 531
1684
+ 00:40:32,750 --> 00:40:42,130
1685
+ ุงุณุชู†ุณุฎุชู‡ ู…ู† ุงู„ู€ aุŒ ุงู„ู€ a ุฒูŠ ู…ุง ู‡ูŠุŒ ุฃุฎุฏุช ู…ู†ู‡ุง ู†ุณุฎุฉ ููŠ
1686
+
1687
+ 532
1688
+ 00:40:42,130 --> 00:40:47,060
1689
+ temporary spaceุŒ ู…ุด ู‡ูŠูƒุŸ ุฃูˆ temporary string. Okay
1690
+
1691
+ 533
1692
+ 00:40:47,060 --> 00:40:50,100
1693
+ ูˆุฃุจุฏุฃ ุงุดุชุบู„ ุนู„ู‰ ุงู„ู€ string ู‡ุฐุงุŒ ุชู…ุดูŠ. ุฅุญู†ุง ู‡ู†ุง ุฒูŠ ู…ุง
1694
+
1695
+ 534
1696
+ 00:40:50,100 --> 00:40:53,780
1697
+ ู‚ู„ุช ู„ูƒ ูƒู…ุงู† ู…ุฑุฉ ููŠ ุงู„ู€ pseudocodeุŒ ุฅุญู†ุง ุจู†ุดุฑุญ ุงู„ู€
1698
+
1699
+ 535
1700
+ 00:40:53,780 --> 00:40:58,760
1701
+ concept. ุจุนุฏ ู‡ูŠูƒ ู…ู…ูƒู† ุทุฑูŠู‚ุฉ ุงู„ู€ Java ุชุฎุชู„ู ูƒู€
1702
+
1703
+ 536
1704
+ 00:40:58,760 --> 00:41:02,200
1705
+ structure ุนู† ุงู„ู€ C++ุŒ ุนู† ุงู„ู€ PythonุŒ ุนู†... okayุŒ ุจุณ
1706
+
1707
+ 537
1708
+ 00:41:02,200 --> 00:41:10,260
1709
+ ุงู„ููƒุฑุฉ ูˆุงุญุฏุฉ. ุทูŠุจ ู†ุฃุฎุฐ ุงู„ู€ divisionุŒ ุงู„ู€ divisionุŒ ุฃูŠูˆุฉ
1710
+
1711
+ 538
1712
+ 00:41:10,260 --> 00:41:15,660
1713
+ ุฎู„ุงุต ู†ูู‡ู…ู‡ุง ูƒุชุงุจุฉุŒ ุฃุฎุฏุชูˆู‡ุง ุงู„ู€ divisionุŒ ู…ุชุฐูƒุฑูŠู†ู‡ุงุŸ
1714
+
1715
+ 539
1716
+ 00:41:16,510 --> 00:41:30,930
1717
+ ุทูŠุจุŒ ู…ุงุดูŠุŒ ุงู„ู‚ุณู…ุฉ ุงู„ู…ุทูˆู„ุฉุŒ ุงู‡ุŒ ุฃุธู†
1718
+
1719
+ 540
1720
+ 00:41:30,930 --> 00:41:33,530
1721
+ ู‡ุฐุง ุงู„ุฑู‚ู… ุงู„ู„ูŠ ู‡ูˆ ูƒุงู† ู†ุงุชุฌ ุนู†ุฏู†ุงุŒ ุตุญุŸ ุฃุนุชู‚ุฏ ูƒุงู†
1722
+
1723
+ 541
1724
+ 00:41:33,530 --> 00:41:38,070
1725
+ ู†ุงุชุฌ ุนู†ุฏู†ุง. ุทูŠุจุŒ ูˆู‡ุงุช ู†ุฃุฎุฐ ู‡ุฐุง. ูุงู„ู…ุชูˆู‚ุน ุฅุญู†ุง
1726
+
1727
+ 542
1728
+ 00:41:38,070 --> 00:41:41,910
1729
+ ู…ุชุฎูŠู„ูŠู† ุฅูŠุด ุงู„ู„ูŠ ู„ุงุฒู… ูŠุธู‡ุฑุŸ ุงู„ู…ูุฑูˆุถ... ุนููˆุงุŒ ุฅูŠุด
1730
+
1731
+ 543
1732
+ 00:41:41,910 --> 00:41:44,110
1733
+ ู‡ุฐุงุŸ ุฅุญู†ุง ุฃุฎุฏู†ุง ุงู„ู†ุงุชุฌ ุนู„ู‰ ุทูˆู„ุŸ
1734
+
1735
+ 544
1736
+ 00:41:48,820 --> 00:41:51,700
1737
+ ูˆุจุฏู†ุง ุงู„ู†ุงุชุฌ ู‡ู†ุงุŒ ูˆุงู„ู„ูŠ ุฅุญู†ุง ู…ุชุฎูŠู„ูŠู†ู‡ ุฃู† ุงู„ูˆู‚ุชุด ุงู„ู…ูุฑูˆุถ
1738
+
1739
+ 545
1740
+ 00:41:51,700 --> 00:41:59,940
1741
+ ูŠูุทู„ุน 101ุŒ ุฃุตู„ุง 101. ุทูŠุจุŒ ู‡ู†ุง ุดูˆูŠุฉ ุงู„ู€ code ุนู…ู„ู‡ุง
1742
+
1743
+ 546
1744
+ 00:41:59,940 --> 00:42:05,900
1745
+ ู…ุนูƒูˆุณุฉุŒ ุนูƒุณู‡ุง ุดูˆูŠุฉุŒ ูŠุนู†ูŠ ุฃุฎุฏ ุนู…ู„ูŠุฉ ุงู„ุถุฑุจุŒ ูˆุงูุชุฑุถู‡ุง
1746
+
1747
+ 547
1748
+ 00:42:05,900 --> 00:42:12,070
1749
+ ุจุงู„ุนูƒุณุŒ ุฃูุชุฑุถู‡ุง ุจุดูƒู„ ุนูƒุณูŠ. ู‡ู„ูˆู‚ุชุŒ ู‡ุงู†ูŠุด ู†ู…ุดูŠ ู…ุนู‡ุงุŒ ูˆ
1750
+
1751
+ 548
1752
+ 00:42:12,070 --> 00:42:15,650
1753
+ ูƒู„ ุญุงุฌุฉุŒ ุฎุทูˆุฉ ู†ุนู…ู„ู‡ุง ู‡ู†ุงุŒ ู†ุฑูˆุญ ู†ุดุชุบู„ู‡ุง ุนู„ู‰ ุงู„ู‚ุณู…ุฉ
1754
+
1755
+ 549
1756
+ 00:42:15,650 --> 00:42:19,310
1757
+ ุงู„ู…ุทูˆู„ุฉ ุงู„ู„ูŠ ู…ูƒุชูˆุจ ู‚ุฏุงู…ู†ุง. ุจุฏุฃ ุฃูุชุฑุถ ุงู„ู€ procedureุŒ ูˆ
1758
+
1759
+ 550
1760
+ 00:42:19,310 --> 00:42:23,030
1761
+ ุงู„ู€ division ู„ู„ู€ number ุชุจุนู†ุงุŒ ู…ุง ููŠุด ุฃูŠ ู…ุดูƒู„ุฉ
1762
+
1763
+ 551
1764
+ 00:42:23,030 --> 00:42:28,050
1765
+ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ. ู‡ู„ูˆู‚ุช ุจุฏุฃ ุฃู‚ูˆู„ n ู‡ูŠ ุงู„ู€
1766
+
1767
+ 552
1768
+ 00:42:28,050 --> 00:42:41,300
1769
+ maximum length ู…ุง ุจูŠู† a ูˆ dุŒ ุนู„ู‰ ุงุนุชุจุงุฑ ุฃู† ู‡ุฐุง a ูˆู‡ุฐุง
1770
+
1771
+ 553
1772
+ 00:42:41,300 --> 00:42:45,060
1773
+ d dividend
1774
+
1775
+ 554
1776
+ 00:42:45,060 --> 00:42:51,080
1777
+ ูˆ divisorุŒ ูƒูˆูŠุณ. ู‡ู†ุจุฏุฃ ุงู„ู„ูŠ ูˆุงุจุชุฏุฃู†ุงู‡ ู…ู† ุงู„ู†ุงู‚ุต ูˆุงุญุฏ
1778
+
1779
+ 555
1780
+ 00:42:52,290 --> 00:42:57,290
1781
+ ู…ู† n ู†ุงู‚ุต ูˆุงุญุฏ. ู‡ู†ุง ู…ูุญุฏุฏ ู‡ูˆ ุงู„ู€ length ุชุจุน ุฅูŠุดุŸ ุงู„ู„ูŠ
1782
+
1783
+ 556
1784
+ 00:42:57,290 --> 00:43:00,930
1785
+ ู‡ูˆ ุงู„ู€ n ู…ูุญุฏุฏ ุงู„ู€ length ุนู„ู‰ ุฃุณุงุณ ุฅู†ู‡ ุฅูŠุด ู‚ูŠู…ุฉ n
1786
+
1787
+ 557
1788
+ 00:43:00,930 --> 00:43:04,370
1789
+ ูŠุนู†ูŠ ุจุฏู†ุง ู†ูุฑุถ ุฅู†ู‡ ู…ูŠู† nุŸ ู…ู† ุฌุฏ ุฅูŠุด ู‡ุชูƒูˆู† ู‚ูŠู…ุชู‡ุง
1790
+
1791
+ 558
1792
+ 00:43:04,370 --> 00:43:07,650
1793
+ ู‡ู†ุง n
1794
+
1795
+ 559
1796
+ 00:43:07,650 --> 00:43:13,090
1797
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ length of a in bitsุŒ ูˆุงู„ู€ length of d of
1798
+
1799
+ 560
1800
+ 00:43:13,090 --> 00:43:15,470
1801
+ lengthsุŒ ูˆุจุฏู†ุง ู†ุฃุฎุฐ ุงู„ู€ maximumุŒ ุฎู…ุณุฉ
1802
+
1803
+ 561
1804
+ 00:43:18,160 --> 00:43:24,520
1805
+ ุตุญูŠุญุŸ ูุงู„ุฃูƒุจุฑ ู‡ูˆ ุงู„ู€ aุŒ ุจู€ n ุชุณุงูˆูŠ ุฎู…ุณุฉ. ู‡ู†ุจุฏุฃ ู…ู†
1806
+
1807
+ 562
1808
+ 00:43:24,520 --> 00:43:32,140
1809
+ ุฃุฑุจุนุฉุŒ ูˆู†ูƒู…ู„ุŒ ูˆู†ุดูˆูุŒ ูˆู†ุนู…ู„ down to. ูู‡ู†ุง ุจุชุตูŠุฑ ุงู„ู€
1810
+
1811
+ 563
1812
+ 00:43:32,140 --> 00:43:42,320
1813
+ counter ุนูƒุณูŠ. ุฅุฐุง a ุฃูƒุจุฑ ู…ู† ุฃูˆ ูŠุณุงูˆูŠ dุŒ ู…ุน ุฅุถุงูุฉ
1814
+
1815
+ 564
1816
+ 00:43:42,320 --> 00:43:44,520
1817
+ zeros ุจุนุฏุฏ ุงู„ุฃุฑุจุนุฉ
1818
+
1819
+ 565
1820
+ 00:43:48,260 --> 00:43:53,880
1821
+ ู„ุฃู†ู‡ ู‡ูŠ ุนูƒุณูŠุฉุŒ ู„ู‡ุง ุฏูŠูƒุŒ ู‡ุชู†ู…ุณูƒู‡ุง ุดูˆูŠุฉ ุดูˆูŠุฉุŒ ูŠุนู†ูŠ ูƒุฃู†ู‡
1822
+
1823
+ 566
1824
+ 00:43:53,880 --> 00:43:59,980
1825
+ ู‡ู†ุง ุจุฏู‡ ูŠุตูŠุฑ ุงู„ู€
1826
+
1827
+ 567
1828
+ 00:43:59,980 --> 00:44:04,920
1829
+ one ุตูุฑ ุตูุฑุŒ ูˆุฅู† ุถูŠู ูˆุงุญุฏ ุตูุฑุŒ ุงุชู†ูŠู†ุŒ ู‡ุงูŠ ุฃุฑุจุนุฉ ุฃุตูุงุฑ
1830
+
1831
+ 568
1832
+ 00:44:04,920 --> 00:44:12,740
1833
+ ู‡ุงูŠ ุฃุฑุจุนุฉ ุฃุตูุงุฑุŒ ู‡ู„ ุงู„ู€ a ุฃูƒุจุฑ ู…ู† ู‡ุฐุง ุงู„ุฑู‚ู…ุŸ ุฃูƒูŠุฏ ู„ุฃ
1834
+
1835
+ 569
1836
+ 00:44:12,740 --> 00:44:17,980
1837
+ ู‡ู†ุง ุฎู…ุณุฉุŒ ูˆู‡ู†ุง ุตุงุฑ ููŠ ุนู†ุฏูŠ ุณุจุนุฉ. ุตุงุฑ ุนู†ุฏูŠ ุณุจุนุฉุŒ ูููŠ
1838
+
1839
+ 570
1840
+ 00:44:17,980 --> 00:44:26,260
1841
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ู‡ู†ุฑูˆุญ ู„ู„ู€ else. ุงู„ู€ quotient ููŠ ุงู„ุฎุงู†ุฉ i ุจู€
1842
+
1843
+ 571
1844
+ 00:44:26,260 --> 00:44:34,760
1845
+ zero. ูู‡ู†ุง ู‡ู†ุจุฏุฃ ุจู€ zeroุŒ ู‡ู†ุจุฏุฃ
1846
+
1847
+ 572
1848
+ 00:44:34,760 --> 00:44:38,400
1849
+ ุจู€ zeroุŒ ุชู…ุงู…. ุจุนุฏ ู‡ูŠ ุฎู„ุตุŒ ุฎู„ุตู†ุง ุงู„ู€ loopุŒ ุนุดุงู† ู†ุฑุฌุน
1850
+
1851
+ 573
1852
+ 00:44:38,400 --> 00:44:41,980
1853
+ ู„ู…ูŠู†ุŸ ู„ู„ุชู„ุงุชุฉ
1854
+
1855
+ 574
1856
+ 00:44:41,980 --> 00:44:42,640
1857
+ 100%
1858
+
1859
+ 575
1860
+ 00:44:49,320 --> 00:44:56,460
1861
+ ู‡ู„ a ุฃูƒุจุฑ ูƒู…ุงู†
1862
+
1863
+ 576
1864
+ 00:44:56,460 --> 00:45:03,820
1865
+ ุตูุฑ ุงุชู†ูŠู†
1866
+
1867
+ 577
1868
+ 00:45:03,820 --> 00:45:07,960
1869
+ ุงู‡
1870
+
1871
+ 578
1872
+ 00:45:07,960 --> 00:45:12,500
1873
+ ุชู…ุงู…ุŒ ุฃูƒุจุฑุŒ ุจุฑูˆุญุด ู„ู„ู€ elseุŒ ู‡ู†ุฑูˆุญ ู„ู…ูŠู†ุŸ ู†ุจุฏุฃ ููŠ ุงู„ู€ then
1874
+
1875
+ 579
1876
+ 00:45:12,500 --> 00:45:17,100
1877
+ thenุŒ ุฃูˆู„ ุดุบู„ุฉุŒ ุงู„ู€ quotient ุชุจุนูƒ ุจูˆุงุญุฏุŒ okay
1878
+
1879
+ 580
1880
+ 00:45:19,420 --> 00:45:25,140
1881
+ ู‡ูŠ ูˆุงุญุฏ. ุจุนุฏูŠู† ุงู„ู€ a ุจุฏู‡ุง ุชุชุบูŠุฑ ุญุณุจ ุงู„ู‚ุณู…ุฉ ุงู„ู…ุทูˆู„ุฉ
1882
+
1883
+ 581
1884
+ 00:45:25,140 --> 00:45:31,560
1885
+ ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ู†ุทุฑุญู‡ู…ุŒ ูุจู†ุนู…ู„ ุทุฑุญ ุจู†ูุณ ุนุฏุฏ ุงู„ุฃุตูุงุฑุŒ ูŠุนู†ูŠ
1886
+
1887
+ 582
1888
+ 00:45:31,560 --> 00:45:36,540
1889
+ ู…ุนู†ู‰ ุฐู„ูƒ ุฃู† ู‡ุฐุง ุงู„ุฑู‚ู… ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠุทุฑุญุŒ ู…ุด ู‡ุฐุงุŒ ู‡ุฐุง
1890
+
1891
+ 583
1892
+ 00:45:36,540 --> 00:45:40,080
1893
+ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ู‡ูˆ ู‡ูŠุทุฑุญุŒ ู‡ูŠู‡ุงุŒ ุจุนุฏุฏ ุฃุตูุงุฑู‡ุŒ ุจุนุฏุฏ ุงู„ุฃุตูุงุฑ
1894
+
1895
+ 584
1896
+ 00:45:40,080 --> 00:45:42,940
1897
+ ุชุจุนุชู‡. ููƒุฃู†ู‡ ุฃุตุจุญ ุงู„ู€
1898
+
1899
+ 585
1900
+ 00:45:45,270 --> 00:45:48,230
1901
+ ุงู„ุนู†ุตุฑ ุนู†ุฏูŠ ู‡ู†ุงุŒ ุฃูƒู…ู„ุŒ ุตูุฑ ู‚ุฏุงู…ู‡ ุฃุฑุจุนุฉุŒ ู‡ุงูŠ ูˆุงุญุฏ
1902
+
1903
+ 586
1904
+ 00:45:48,230 --> 00:46:00,150
1905
+ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ูˆุงุญุฏ ุตูุฑ ุตูุฑ ูˆุงุญุฏ ุตูุฑ ุตูุฑุŒ ุชู…ุงู…
1906
+
1907
+ 587
1908
+ 00:46:00,150 --> 00:46:05,310
1909
+ ุงู„ู„ูŠ ุนู†ุฏูƒ ุงู„ุขู†ุŒ ุฌูŠุฏุŒ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุฎู„ุตู†ุง ุฃูˆู„ ุฌุฒุกุŒ ุฎู„ุตู†ุง
1910
+
1911
+ 588
1912
+ 00:46:05,310 --> 00:46:09,350
1913
+ ุงู„ุงุชู†ูŠู†ุŒ ู‡ูŠูƒุŒ ุงู„ูˆุงุญุฏ
1914
+
1915
+ 589
1916
+ 00:46:18,380 --> 00:46:28,960
1917
+ a ุฃูƒุจุฑ ู…ู†ู‡ุŸ ุฃูƒูŠุฏ ู„ุฃุŒ ูุฅุฐุง ุจู†ุถูŠู ุตูุฑุŒ ุฎู„ุงุต
1918
+
1919
+ 590
1920
+ 00:46:28,960 --> 00:46:38,360
1921
+ ุฎู„ุตุช ุฃุตู„ุง. ุทูŠุจุŒ ุขุฎุฑ ุดูŠ ุตูุฑุŒ ุงู„ู„ูŠ ู‡ูˆ ุขุฎุฑ ุนู†ุตุฑ ุนู†ุฏูŠุŒ ุตูุฑ
1922
+
1923
+ 591
1924
+ 00:46:38,360 --> 00:46:43,580
1925
+ ุขุฎุฑ ุนู†ุตุฑุŒ ุฎู„ุงุตุŒ ุตุญุŸ ู‡ุฐุง ุงู„ุตูุฑ ุขุฎุฑ ุนู†ุตุฑุŒ ูููŠ
1926
+
1927
+ 592
1928
+ 00:46:43,580 --> 00:46:47,390
1929
+ ุงู„ุญุงู„ุฉ ุฏูŠุŒ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠุŸ ุงู‡ุŒ ู‡ูˆ ูŠุณุงูˆูŠ ูุนู„ูŠุงุŒ ู…ุนู†ุงุชู‡
1930
+
1931
+ 593
1932
+ 00:46:47,390 --> 00:46:57,070
1933
+ ุฃูˆู„ ุดุบู„ุฉุŒ ุญุท ูˆุงุญุฏุŒ ูˆุงุทุฑุญ without
1934
+
1935
+ 594
1936
+ 00:46:57,070 --> 00:47:03,330
1937
+ remainderุŒ ุจุฏูˆู† ุจุงู‚ูŠุŒ ูƒู…ุงู†ุŒ ู‡ู„ ู‡ูˆ ุงู„ู…ุชูˆู‚ุนูŠู†ุŒ ูˆุงู„ุญู„
1938
+
1939
+ 595
1940
+ 00:47:03,330 --> 00:47:07,990
1941
+ ุงู„ู…ุชูˆู‚ุนูŠู† ููŠู‡ ู‡ูˆ ุงู„ุญู„ุŒ ุงู„ู…ุชูˆู‚ุนูŠู† ููŠู‡ุŒ ูุจุทุฑูŠู‚ุฉ ุนูƒุณูŠุฉ
1942
+
1943
+ 596
1944
+ 00:47:07,990 --> 00:47:13,690
1945
+ ุนู† ุนู…ู„ูŠุฉ ุงู„ุถุฑุจุŒ ุจุทุฑูŠู‚ุฉ ุนูƒุณูŠุฉ ุนู† ุนู…ู„ูŠุฉ ุงู„ุถุฑุจ ุงู„ู…ุชุจุนุฉ
1946
+
1947
+ 597
1948
+ 00:47:13,690 --> 00:47:17,810
1949
+ ูู‡ูŠ ุงู„ู€ code ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุณุชุฎุฏู…ู‡ ู„ุนู…ู„ูŠุฉ ุงู„ู€ division
1950
+
1951
+ 598
1952
+ 00:47:17,810 --> 00:47:21,150
1953
+ ู„ู„ู€ binaryุŒ ู„ูŠุด ู„ู„ู€ binaryุŸ ู‡ุงูŠ code ู…ูƒุชูˆุจุŒ ูˆู…ุฑุชู‘ุจุŒ ูˆ
1954
+
1955
+ 599
1956
+ 00:47:21,150 --> 00:47:27,850
1957
+ ู…ุธุจูˆุทุŒ ูˆุฌูŠุฏ. ุงู„ุขู† ููŠ ุนู†ุฏู†ุง ุดูˆูŠุฉ ุชุทุจูŠู‚ุงุช ู…ู‡ู…ุฉ ุนู„ู‰
1958
+
1959
+ 600
1960
+ 00:47:27,850 --> 00:47:29,930
1961
+ ู†ุธุฑูŠุงุช ุงู„ุฃุนุฏุงุฏ ุงู„ู„ูŠ ุฅุญู†ุง ู‡ูŠูƒ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุงุŒ ุงู„ู„ูŠ
1962
+
1963
+ 601
1964
+ 00:47:29,930 --> 00:47:33,070
1965
+ ุฃุฎุฏู†ุงู‡ุง. ุงู„ู†ุธุฑูŠุฉุŒ ุงู„ุชุทุจูŠู‚ุงุช ุฏูŠ ู„ู‡ุง ุชุทุจูŠู‚ุงุช ูƒุชูŠุฑ
1966
+
1967
+ 602
1968
+ 00:47:33,070 --> 00:47:37,290
1969
+ ุงู„ุญู‚ูŠู‚ุฉุŒ ูˆู…ุนุธู…ู‡ุง ุญุงุฌุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ุชุดููŠุฑุŒ ุฃูˆ
1970
+
1971
+ 603
1972
+ 00:47:37,290 --> 00:47:41,490
1973
+ ุงู„ุชูƒูˆูŠุถุŒ ุฃูˆ ุงู„ู€ encryption. ููŠ ู…ุซู„ุง ุงู„ู€ hash functions
1974
+
1975
+ 604
1976
+ 00:47:41,490 --> 00:47:44,890
1977
+ ููŠ ุนู…ู„ูŠุฉ ุงู„ู€ simulationุŒ ุนู…ู„ูŠุฉ ุงู„ู€ gamesุŒ ุจู†ุงุก ุงู„ู€
1978
+
1979
+ 605
1980
+ 00:47:44,890 --> 00:47:48,570
1981
+ gamesุŒ ูˆุงู„ู€ graphics ู…ุนุชู…ุฏุฉ ุจุดูƒู„ ู…ุด ุทุจูŠุนูŠ ุนู„ู‰ ู†ุธุฑูŠุฉ
1982
+
1983
+ 606
1984
+ 00:47:48,570 --> 00:47:52,650
1985
+ ุงู„ุฃุฑู‚ุงู…ุŒ ูˆุฌุฏ ุฅูŠุด ุฃู†ุช ู…ุงู‡ุฑ ููŠ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุฃุฑู‚ุงู…ุŒ ุฌุฏ ุฅูŠุด
1986
+
1987
+ 607
1988
+ 00:47:52,650 --> 00:47:56,230
1989
+ ุฃู†ุช ุจุชู‚ุฏุฑ ุชุชุนุงู…ู„ ู…ุน ุงู„ุฃุฑู‚ุงู…ุŒ ูˆุชุดุชุบู„ ุงู„ุดุบู„ ุงู„ู„ูŠ
1990
+
1991
+ 608
1992
+ 00:47:56,230 --> 00:47:59,050
1993
+ ุฃุฎุฐู†ุงู‡ ุฎู„ุงู„ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉุŒ ูˆุจุฏุงูŠุฉ ุงู„ู…ุญุงุถุฑุฉ
1994
+
1995
+ 609
1996
+ 00:47:59,050 --> 00:48:04,810
1997
+ ู„ู„ูŠูˆู…ุŒ ุงู„ู„ูŠ ุฅุญู†ุง ู‡ู†ุฑูƒุฒ ุนู„ูŠู‡ ูุนู„ูŠุง
1998
+
1999
+ 667
2000
+ 00:52:27,180 --> 00:52:33,980
2001
+ primesุŸ ุงู„primes ู„ุฃู†ู‡ ุจุถู…ู† ุฃูˆ ุนู„ู‰ ุงู„ุฃู‚ู„ ุฅุฐุง ู…ุง ูƒุงู†ูˆุง
2002
+
2003
+ 668
2004
+ 00:52:33,980 --> 00:52:38,100
2005
+ primes pure primes ูƒู„ู‡ู… ูŠุนู†ูŠ ุนู„ู‰ ุงู„ุฃู‚ู„ ู‡ู… ู…ุง ุจูŠู†ู‡ู…
2006
+
2007
+ 669
2008
+ 00:52:38,100 --> 00:52:42,450
2009
+ ูˆุจูŠู† ุจุนุถ relative primes ู„ูŠุดุŸ ู„ุฃู†ู‡ ู„ู…ุง ู†ู‚ูˆู„
2010
+
2011
+ 670
2012
+ 00:52:42,450 --> 00:52:47,930
2013
+ relative primes ู…ุนู†ุงู‡ ุฐู„ูƒ ุจุจุณุงุทุฉ ุฃู†ู‡ ุงู„ greatest
2014
+
2015
+ 671
2016
+ 00:52:47,930 --> 00:52:53,030
2017
+ common divisor between them ูˆุงุญุฏ ูŠุนู†ูŠ ู…ุง ููŠุด ุนู†ุงุตุฑ
2018
+
2019
+ 672
2020
+ 00:52:53,030 --> 00:52:59,810
2021
+ ุฃู‚ู„ ู…ู† M ูƒู„ู‡ู… ูŠู‚ุจู„ ุงู„ู‚ุณู…ุฉ ุนู„ูŠู‡ุง ู‡ุฐุง ูŠุนุทูŠูƒ ุชู†ูˆุนู‹ุง
2022
+
2023
+ 673
2024
+ 00:52:59,810 --> 00:53:06,210
2025
+ ุฃูƒุจุฑ ู„ุฃู†ู‡ ู„ูˆ ูƒุงู† ููŠ ุนู†ุงุตุฑ ุจูŠู†ู‡ู… ู…ุดุชุฑูƒุฉ ู‡ุฐุง ูŠุนู†ูŠ
2026
+
2027
+ 674
2028
+ 00:53:06,210 --> 00:53:12,840
2029
+ ุฃู†ู‡ ุณูŠูƒูˆู† ุนู†ุฏูƒ ูŠุนู†ูŠ ุจุทุฑูŠู‚ุฉ ุฃูˆ ุจุฃุฎุฑู‰ ุงู„ุชูƒุฑุงุฑ ุณูŠูƒูˆู†
2030
+
2031
+ 675
2032
+ 00:53:12,840 --> 00:53:18,860
2033
+ ู…ุณุงูุงุชู‡ ุฃู‚ุฑุจ ุฃู†ุง ุฃู‚ูˆู„ randomุŒ ุตุญุŸ ู…ู…ุชุงุฒุŒ ุจุณ ููŠ
2034
+
2035
+ 676
2036
+ 00:53:18,860 --> 00:53:22,740
2037
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ random ูŠุนู†ูŠ ูŠูˆู„ุฏ ู…ุฌู…ูˆุนุฉ ุนู†ุงุตุฑุŒ ู„ูˆ
2038
+
2039
+ 677
2040
+ 00:53:22,740 --> 00:53:27,100
2041
+ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ุชูƒุฑุฑุŒ ุธู‡ุฑ ู…ุนูŠุŒ ุงู„ุจุงู‚ูŠ ูƒู„ู‡ ุณูŠุธู‡ุฑุŒ
2042
+
2043
+ 678
2044
+ 00:53:27,100 --> 00:53:31,460
2045
+ ู„ุฃู† ุงู„ู…ุนุงุฏู„ุฉ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุนุงุฏ ูˆูƒุฑุฑู‡ุง ุจู†ูุณ X
2046
+
2047
+ 679
2048
+ 00:53:31,460 --> 00:53:35,740
2049
+ node ุฃูƒูŠุฏ ุณูŠุฑุฌุน X1 ูƒู…ุง ู‡ูˆุŒ ุณูŠุฑุฌุน X2ุŒ ู‡ุฐู‡ ู‡ูŠ
2050
+
2051
+ 680
2052
+ 00:53:35,740 --> 00:53:39,170
2053
+ ุงู„ุซุบุฑุฉ ุงู„ุชูŠ ูŠุจุญุซ ุนู†ู‡ุง ุงู„ู€ hackers
2054
+
2055
+ 681
2056
+ 00:53:39,170 --> 00:53:42,850
2057
+ ูŠุจุญุซ ุนู† ู…ุงุฐุงุŸ ุฃูŠู† ุญุฏุซ ุงู„ุชูƒุฑุงุฑุŸ ุฃูŠู† ูŠุญุฏุซ
2058
+
2059
+ 682
2060
+ 00:53:42,850 --> 00:53:46,890
2061
+ ุงู„ุชูƒุฑุงุฑุŸ ุฃู…ุณูƒ ุงู„ุชูƒุฑุงุฑุŒ ุฃูˆู„ ุดูŠุก ุฃุญุตู„ ุนู„ู‰ ุงู„ู…ุณุงูุฉุŒ ุฃุนุฑู
2062
+
2063
+ 683
2064
+ 00:53:46,890 --> 00:53:52,270
2065
+ ุงู„ู€ modulusุŒ ุงู„ู€ M ุฃุนุฑูู‡ุงุŒ ุงู†ุชู‡ูŠุชุŒ ู‡ูŠ ุถุฑุจุช ู„ูƒ ุฃูˆู„
2066
+
2067
+ 684
2068
+ 00:53:52,270 --> 00:53:56,790
2069
+ ุดูŠุก ูˆุฃุจุฏุฃ ุจุชู†ูˆุน ุดูˆูŠุฉ ุดูˆูŠุฉ ููŠ ุณู„ุณู„ุฉ ู…ู†
2070
+
2071
+ 685
2072
+ 00:53:56,790 --> 00:53:59,730
2073
+ procedures ุงู„ุชูŠ ุชุนู…ู„ ุนู„ู‰ ูƒุณุฑ ุงู„ู€ codeุŒ ููƒู‘
2074
+
2075
+ 686
2076
+ 00:53:59,730 --> 00:54:03,530
2077
+ ูƒู„ู‘ู‡ุŒ ูƒูŠู ุชูุตุนู‘ุจ ุงู„ู…ูˆุถูˆุน ุนู„ูŠู‡ุŸ
2078
+
2079
+ 687
2080
+ 00:54:05,010 --> 00:54:08,150
2081
+ ู…ู…ูƒู† ุฃู„ุง ูŠูƒูˆู† ู†ูุณู‡ุŒ ู‡ุฐุง ู„ู‡ ุดุฑุทุŒ ูˆู‡ูˆ ุงู„ู…ูุฑูˆุถ
2082
+
2083
+ 688
2084
+ 00:54:08,150 --> 00:54:12,190
2085
+ ููŠ ุงู„ู€ slide ุงู„ุชูŠ ุชู„ูŠ ู‡ุฐู‡ุŒ ุณู†ุฃุฎุฐู‡ ุนู„ู‰ ุฃู† ุงู„ุนู†ุงุตุฑ ู…ุง
2086
+
2087
+ 689
2088
+ 00:54:12,190 --> 00:54:16,750
2089
+ ุจูŠู†ู‡ุง ูˆุจูŠู† ุจุนุถุŒ ุฃู„ุง ูŠูƒูˆู† ู„ู‡ุง ุฃูˆ
2090
+
2091
+ 690
2092
+ 00:54:16,750 --> 00:54:22,510
2093
+ ุนููˆู‹ุงุŒ ูŠูƒูˆู† ู„ู‡ุง inverse ูˆุญูŠุฏ ุฏุงุฎู„ ุงู„ู€ one
2094
+
2095
+ 691
2096
+ 00:54:22,510 --> 00:54:26,570
2097
+ periodุŒ ุฅุฐุง ูƒุงู† ุนู†ุฏูƒ ุฃูƒุซุฑ ู…ู† inverse ุฏุงุฎู„ ุงู„ู€ one
2098
+
2099
+ 692
2100
+ 00:54:26,570 --> 00:54:31,990
2101
+ periodุŒ ู„ุง ูŠุตู„ุญ ู‡ุฐุง codeุŒ ู„ุง ูŠุตู„ุญ ุฃู† ูŠูƒูˆู† codeุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู†
2102
+
2103
+ 693
2104
+ 00:54:32,750 --> 00:54:37,070
2105
+ Unique Inverse ู„ู„ุนู†ุงุตุฑ ุงู„ุชูŠ ุชุธู‡ุฑ ู…ุนูƒ ุฃูˆ ู„ู„ู€
2106
+
2107
+ 694
2108
+ 00:54:37,070 --> 00:54:41,570
2109
+ parameters ู‡ุฐู‡ุŒ ู„ูƒูŠ ุชุถู…ู† ุฃู†ูƒ ุงุณุชุบู„ูŠุช ูƒู„ ุงู„ู€
2110
+
2111
+ 695
2112
+ 00:54:41,570 --> 00:54:46,750
2113
+ modulus ูƒุงู…ู„ู‹ุงุŒ ุงูุชุฑุถ
2114
+
2115
+ 696
2116
+ 00:54:46,750 --> 00:54:51,790
2117
+ ุฃู„ูุŒ ู…ู…ูƒู† ุงู„ุชูƒุฑุงุฑ ูŠุธู‡ุฑ ู„ูƒ ุจุนุฏ ุฎู…ุณู…ุงุฆุฉ ุฃูˆ ุจุนุฏ ู…ุฆุชูŠู† ูˆ
2118
+
2119
+ 697
2120
+ 00:54:51,790 --> 00:54:56,290
2121
+ ุฎู…ุณูŠู†ุŒ ุชุฌุฏ ุฃู† ู‡ู†ุงูƒ ุชูƒุฑุงุฑุงุชุŒ ุทุจุนู‹ุง ู‡ุฐุง ูŠุฌุนู„ ุงู„ู€
2122
+
2123
+ 698
2124
+ 00:54:56,290 --> 00:54:59,910
2125
+ code hash ุถุนูŠูู‹ุงุŒ ู‡ุฐุง codeุŒ ู…ุงุฏุงู… ุชูƒุฑุงุฑุงุชู‡ ู‚ุฑูŠุจุฉ ู…ู† ุจุนุถู‡ุง
2126
+
2127
+ 699
2128
+ 00:54:59,910 --> 00:55:07,470
2129
+ ู‡ุฐุง ู‡ุด ุฌุฏุงู‹ ู…ู† ู†ุงุญูŠุฉ security ู„ู„ุจุฑุงูŠู…ุฒุŒ ู„ู„ุจุฑุงูŠู…ุฒุŒ ู„ุง ุชูƒูˆู†
2130
+
2131
+ 700
2132
+ 00:55:07,470 --> 00:55:10,890
2133
+ ุงู„ุชูƒุฑุงุฑุงุช ูƒุซูŠุฑุฉุŒ ุฃุฌู„ุŒ ู…ู† ู‡ุฐุง ุจูƒุซูŠุฑุŒ ุชูƒูˆู† ุฃุฌู„ ู…ู† ู‡ุฐุง
2134
+
2135
+ 701
2136
+ 00:55:10,890 --> 00:55:14,870
2137
+ ุฅุฐุง ูƒุงู† ุงู„ู€ C ุตูุฑุงู‹
2138
+
2139
+ 702
2140
+ 00:55:14,870 --> 00:55:18,290
2141
+ C ุชุณุงูˆูŠ ุตูุฑุŒ ู…ุนู†ุงู‡ ุฐู„ูƒ ุฃู†ู‡ุง pure multiplicative
2142
+
2143
+ 703
2144
+ 00:55:18,290 --> 00:55:23,210
2145
+ ู„ูŠุดุŸ ู„ุฃู† ู…ุง ููŠุด ุงู„ู€ incrementุŒ ู‡ูŠ ู…ุนุงุฏู„ุฉ ุถุฑุจูŠุฉ ูู‚ุท
2146
+
2147
+ 704
2148
+ 00:55:24,500 --> 00:55:30,560
2149
+ ู…ุนุงุฏู„ุฉ ุถุฑุจูŠุฉ ูˆู„ูŠุณุช linearุŒ ู‡ูŠ linear ุฒุงุฆุฏ ู„ูŠุณุช
2150
+
2151
+ 705
2152
+ 00:55:30,560 --> 00:55:32,680
2153
+ complete linearุŒ ู„ุฃู† ุฌุฒุกู‹ุง ู…ู† ุงู„ู€ linearity
2154
+
2155
+ 706
2156
+ 00:55:32,680 --> 00:55:37,360
2157
+ ู„ู… ูŠุชุญู‚ู‚ุŒ ู…ุซุงู„ุŒ ู‡ุฐุง ู…ุซุงู„ุŒ ู„ูˆ ุงู„ู€ modulus ุนู†ุฏูƒ
2158
+
2159
+ 707
2160
+ 00:55:37,360 --> 00:55:44,860
2161
+ ุฃู„ูุŒ ูƒู…ุง ู‚ู„ู†ุงุŒ ูˆุงู„ู€ C ุฃุฑุจุนู…ุฆุฉ ูˆุณุจุนุฉ ูˆุณุชูˆู†ุŒ ูˆุงู„ู€ a
2162
+
2163
+ 708
2164
+ 00:55:44,860 --> 00:55:49,380
2165
+ ุจุฏุฃู†ุง ุจุซู„ุงุซู…ุงุฆุฉุŒ ุงุดุชุบู„ู†ุงู‡ุงุŒ ุซู„ุงุซู…ุงุฆุฉ ุชู†ุงุณุจ ู…ุฆุชูŠู† ูˆุซู„ุงุซ
2166
+
2167
+ 709
2168
+ 00:55:49,380 --> 00:55:54,340
2169
+ ูˆุชุณุนูŠู†ุŒ ูˆุงู„ู€ seed ุฃุฑุจุนู…ุฆุฉ ูˆุณุชุฉ ูˆุนุดุฑูˆู†ุŒ ู…ุนุงุฏู„ุฉ ูˆ
2170
+
2171
+ 710
2172
+ 00:55:54,340 --> 00:55:58,680
2173
+ ุชุทุจู‚ู‡ุง ู„ุง ุฃูƒุซุฑ ูˆู„ุง ุฃู‚ู„ุŒ ูุฃู†ุช ุชุฑูŠุฏ ุฃู† ุชุฌู„ุจ x ูˆุงุญุฏ ุจุงุณุชุฎุฏุงู…
2174
+
2175
+ 711
2176
+ 00:55:58,680 --> 00:56:04,130
2177
+ x node ุงู„ุฐูŠ ู‡ูˆ ุงู„ู€ seedุŒ ู„ูƒูŠ ูŠุฎุฑุฌ ุฑู‚ู… ู‡ูˆ ู†ูุณู‡
2178
+
2179
+ 712
2180
+ 00:56:04,130 --> 00:56:08,230
2181
+ ุชุณุชุฎุฏู…ู‡ ูƒู€ X1ุŒ ู„ู„ุญุตูˆู„ ุนู„ู‰ X2 and so on ุจู‡ุฐุง ุงู„ุดูƒู„
2182
+
2183
+ 713
2184
+ 00:56:08,230 --> 00:56:13,210
2185
+ ูˆุชุธู‡ุฑ ุนู†ุฏูƒ ุฃุฑู‚ุงู… ุนุดูˆุงุฆูŠุฉุŒ ุชุจุฏูˆ ุฃู†ู‡ุง ุนุดูˆุงุฆูŠุฉุŒ ูู‡ูŠ
2186
+
2187
+ 714
2188
+ 00:56:13,210 --> 00:56:16,630
2189
+ ู‡ูƒุฐุง ูุนู„ูŠู‹ุงุŒ ุชุจุฏูˆ ุฃู†ู‡ุง ุนุดูˆุงุฆูŠุฉุŒ ู„ูƒู† ุฃู†ุช ู‚ุงุฏุฑ ุนู„ู‰ ุฅุนุงุฏุฉ
2190
+
2191
+ 715
2192
+ 00:56:16,630 --> 00:56:19,570
2193
+ ุฅุนุงุฏุฉ ุชูˆู„ูŠุฏู‡ุง ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ู‚ุงุฏุฑ ุนู„ู‰ ุนู…ู„ generation ู…ุฑุฉ
2194
+
2195
+ 716
2196
+ 00:56:19,570 --> 00:56:24,090
2197
+ ุฃุฎุฑู‰ and so onุŒ ุชุณุชู…ุฑ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ู„ุงุญุธ ุฃู†
2198
+
2199
+ 717
2200
+ 00:56:24,090 --> 00:56:30,510
2201
+ odd even ุชุณุชุฎุฏู… ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ุฃู† ุงู„ู€ M ุนู†ุฏูƒ ุฒูˆุฌูŠุŒ ู‡ุฐู‡
2202
+
2203
+ 718
2204
+ 00:56:30,510 --> 00:56:34,010
2205
+ ูˆุงุญุฏุฉ ู…ู† ุงู„ุดูˆุงู‡ุฏ ุฃูŠุถู‹ุงุŒ ูˆู…ู† ุณุญุฑ ุงู„ุฃุฑู‚ุงู…ุŒ ุฃู†
2206
+
2207
+ 719
2208
+ 00:56:34,010 --> 00:56:38,490
2209
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ ุงู„ู€ ุงู„ู€ modulus ุฒูˆุฌูŠุŒ ููŠุตูŠุฑ ูŠุนู…ู„ ู„ูƒ
2210
+
2211
+ 720
2212
+ 00:56:38,490 --> 00:56:42,650
2213
+ ุชุจุฏูŠู„ู‹ุง ุจูŠู† ุงู„ุนู†ุงุตุฑ ุงู„ุชูŠ ูŠุนุทูŠูƒ ุฅูŠุงู‡ุงุŒ ู…ุฑุฉ ูุฑุฏูŠุฉ
2214
+
2215
+ 721
2216
+ 00:56:42,650 --> 00:56:45,610
2217
+ ู…ุฑุฉ ุฒูˆุฌูŠุฉุŒ ู…ุฑุฉ ูุฑุฏูŠุฉุŒ ู…ุฑุฉ ุฒูˆุฌูŠุฉุŒ ู‡ุฐู‡ ุดูˆุงู‡ุฏุŒ ุฅุฐู†
2218
+
2219
+ 722
2220
+ 00:56:45,610 --> 00:56:48,470
2221
+ ู…ุซู„ู‹ุง ุงู„ู€ hackers ูŠุณุชููŠุฏูˆู† ู…ู† ู‡ุฐู‡ ุงู„ุฃุดูŠุงุก ุงู„ุชูŠ
2222
+
2223
+ 723
2224
+ 00:56:48,470 --> 00:56:51,830
2225
+ ู†ุนู…ุŒ ูŠุณุชููŠุฏ ู…ู† ู‡ุฐู‡ ุงู„ุฃุดูŠุงุกุŒ ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุชุŒ ู‡ุฐู‡
2226
+
2227
+ 724
2228
+ 00:56:51,830 --> 00:56:55,930
2229
+ ูŠุณุชููŠุฏ ู…ู†ู‡ุงุŒ ูŠูู‡ู… ู…ู†ู‡ุงุŒ ุชุนุทูŠ indication ุฃู† ูˆุงู„ู„ู‡
2230
+
2231
+ 725
2232
+ 00:56:55,930 --> 00:57:01,110
2233
+ ู…ุงุฐุง ูŠู…ูƒู† ุฃู† ูŠูƒูˆู† ุงู„ู€ ุงู„ู€ modulusุŒ ุชู…ุงู…ุŒ ู‡ุฐุง ู…ุซุงู„
2234
+
2235
+ 726
2236
+ 00:57:01,110 --> 00:57:05,930
2237
+ ุฃูƒุจุฑ ู‚ู„ูŠู„ู‹ุง ูˆุฃูˆุถุญ ู‚ู„ูŠู„ู‹ุงุŒ ูƒุฑุฑู†ุงู‡ุง ุจุดูƒู„ ูƒุงู…ู„ุŒ ุนู†ุฏู…ุง ู‚ู„ู†ุง
2238
+
2239
+ 727
2240
+ 00:57:05,930 --> 00:57:09,390
2241
+ ุงู„ู€ modulus ุชุณุนุฉุŒ ูŠุนู†ูŠ ุฃุชูˆู‚ุน ุฃู†ู‡ ุณูŠุนู…ู„ ู„ูŠ
2242
+
2243
+ 728
2244
+ 00:57:09,390 --> 00:57:15,410
2245
+ ุชุณุนุฉ random numbersุŒ ูˆูŠุนูˆุฏ ูˆูŠุชูƒุฑุฑ ุซุงู†ูŠุฉู‹ุŒ ู„ุฃู†ู‡ ู„ู†
2246
+
2247
+ 729
2248
+ 00:57:15,410 --> 00:57:18,670
2249
+ ูŠุจุชูƒุฑ ุฌุฏูŠุฏู‹ุง ุจุนุฏ ุฐู„ูƒุŒ ุงู†ุชู‡ู‰ุŒ ูƒู„ ุงู„ู€ elements ุงู„ุชูŠ ููŠ ุงู„ู€
2250
+
2251
+ 730
2252
+ 00:57:18,670 --> 00:57:23,090
2253
+ ุถู…ู† ุงู„ู€ modulusุŒ ุทุจุนู‹ุง ุงู„ู€ multiplier ุณุจุนุฉุŒ ูˆุงู„ู€ C
2254
+
2255
+ 731
2256
+ 00:57:23,090 --> 00:57:28,650
2257
+ ุฃุฑุจุนุฉุŒ ูˆุงู„ู€ seed ุซู„ุงุซุฉุŒ ูุจุฏุฃู†ุง ุจุงู„ุซู„ุงุซุฉ X node
2258
+
2259
+ 732
2260
+ 00:57:28,650 --> 00:57:35,270
2261
+ ุจุงู„ุซู„ุงุซุฉุŒ ุฃุตุจุญ ู„ุฏูŠูƒ ุซู„ุงุซุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุณุชุฉุŒ ูˆุงุญุฏ
2262
+
2263
+ 733
2264
+ 00:57:35,270 --> 00:57:40,870
2265
+ ุงุซู†ูŠู†ุŒ ุตูุฑุŒ ุฃุฑุจุนุฉุŒ ุซู„ุงุซุฉุŒ ู„ูˆ ูƒู…ู„ู†ุงุŒ ู…ุงุฐุง ุณูŠุธู‡ุฑุŸ ุฃูƒูŠุฏ
2266
+
2267
+ 734
2268
+ 00:57:40,870 --> 00:57:46,570
2269
+ ุฃูƒูŠุฏ ุชูƒุฑุฑุŒ ุชูƒุฑุฑุชุŒ ุฅุฐู† ุชุนุงู„ุŒ ุฃู…ุณูƒ ู‡ุฐู‡ ุงู„ู€
2270
+
2271
+ 735
2272
+ 00:57:46,570 --> 00:57:53,010
2273
+ modulusุŒ ู…ุง ู‡ูŠุŸ ุชุณุนุฉุŒ ูˆุงู„ู„ู‡ ุณุชู†ุฏู‡ุดุŒ ุณุชูƒูˆู† ู…ู†
2274
+
2275
+ 736
2276
+ 00:57:53,010 --> 00:57:56,290
2277
+ ู…ุถุงุนูุงุช ุงู„ุชุณุนุฉุŒ ู…ุซู„ู‹ุง ู„ูˆ ูƒุงู† ู‡ู†ุงูƒ ุฃูƒุซุฑ ู…ู† inverse ู„ู‡ุง
2278
+
2279
+ 737
2280
+ 00:57:56,290 --> 00:58:00,550
2281
+ ุณุชูƒูˆู† ู…ู† ู…ุถุงุนูุงุช ุงู„ุชุณุนุฉุŒ ูู„ู… ุชุฎุชู„ูุŒ ู„ู… ุชุนุฏ
2282
+
2283
+ 738
2284
+ 00:58:00,550 --> 00:58:06,630
2285
+ ูƒุซูŠุฑุฉุŒ ูุฃู†ุช ููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ู„ุฏูŠูƒ ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ ููŠ ุงู„ู€ codeุŒ ุจูŠู‘ู†ุช
2286
+
2287
+ 739
2288
+ 00:58:06,630 --> 00:58:10,390
2289
+ ู…ุนู„ูˆู…ุฉ ูƒุซูŠุฑุฉ ุงู„ุฃู‡ู…ูŠุฉ ููŠ ุงู„ู€ codeุŒ ุทูŠุจุŒ ุนุงุฏุฉู‹ ู…ุงุฐุง ูŠูุถู„
2290
+
2291
+ 740
2292
+ 00:58:10,390 --> 00:58:13,490
2293
+ ุงู„ู†ุงุณ ุงุณุชุฎุฏุงู…ู‡ุŒ ุฃูˆ ูŠุณุชุฎุฏู…ูˆู†ู‡ ูƒุซูŠุฑู‹ุงุŸ ู‡ูŠ ุงู„ู€ pure
2294
+
2295
+ 741
2296
+ 00:58:13,490 --> 00:58:18,140
2297
+ multiplicative ุจู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉุŒ ุจู‡ุฐุง ุงู„ุดูƒู„ุŒ ุงุซู†ุงู† to
2298
+
2299
+ 742
2300
+ 00:58:18,140 --> 00:58:22,600
2301
+ the power ูˆุงุญุฏ ูˆุซู„ุงุซูˆู† ู†ุงู‚ุต ูˆุงุญุฏุŒ ู‡ุฐู‡ ู‚ูŠู…ุฉ ุงู„ู€ modulus
2302
+
2303
+ 743
2304
+ 00:58:22,600 --> 00:58:28,580
2305
+ ู‡ุฐู‡ ุงู„ู€ modulusุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€ MุŒ ุงู„ุชูŠ ู‡ูŠ ู‚ูŠู…ุฉ M ู‡ู†ุงุŒ ูุฌุฏู‹ุง
2306
+
2307
+ 744
2308
+ 00:58:28,580 --> 00:58:31,900
2309
+ ูŠุณุชุฎุฏู…ูˆู†ู‡ุงุŒ ูŠูุถู„ูˆู† ุงุณุชุฎุฏุงู…ู‡ุงุŒ ุงุซู†ุงู† to the power
2310
+
2311
+ 745
2312
+ 00:58:31,900 --> 00:58:35,880
2313
+ ูˆุงุญุฏ ูˆุซู„ุงุซูˆู† ู†ุงู‚ุต ูˆุงุญุฏุŒ ุนู„ู‰ ุฃุณุงุณ ุงู„ู€ primeุŒ ุนู„ู‰ ุฃุณุงุณ
2314
+
2315
+ 746
2316
+ 00:58:35,880 --> 00:58:40,960
2317
+ ุงู„ู€ primeุŒ ุทูŠุจุŒ ูˆุงู„ู€ multiplier ุณุจุนุฉ to the power
2318
+
2319
+ 747
2320
+ 00:58:40,960 --> 00:58:52,360
2321
+ ุฎู…ุณุฉุŒ ููŠุฎุฑุฌ ุงู„ุฑู‚ู… ุญูˆุงู„ูŠ 16807ุŒ ู‡ุฐุง ูŠุนุทูŠูƒ ุนุฏุฏ
2322
+
2323
+ 748
2324
+ 00:58:52,360 --> 00:58:55,780
2325
+ elements ู‚ุจู„ ุฃู† ูŠุนูˆุฏ ูˆูŠุชูƒุฑุฑุŒ ุญูˆุงู„ูŠ ุงุซู†ุงู† to the
2326
+
2327
+ 749
2328
+ 00:58:55,780 --> 00:59:01,930
2329
+ power ูˆุงุญุฏ ูˆุซู„ุงุซูˆู† ู†ุงู‚ุต ุงุซู†ูŠู†ุŒ ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุงุซู†ูŠู† ู…ู„ูŠุงุฑ
2330
+
2331
+ 750
2332
+ 00:59:01,930 --> 00:59:10,630
2333
+ ูˆ147 ู…ู„ูŠูˆู† ูˆ493 ุฃู„ูู‹ุง ูˆ647
2334
+
2335
+ 751
2336
+ 00:59:10,630 --> 00:59:15,610
2337
+ random numbers ู‚ุจู„ ุฃู† ูŠุนูˆุฏ ูˆูŠุชูƒุฑุฑุŒ ู‚ุจู„ ุฃู† ูŠุนูˆุฏ ูˆูŠุชูƒุฑุฑ
2338
+
2339
+ 752
2340
+ 00:59:15,610 --> 00:59:21,090
2341
+ ุฑู‚ู… ู…ู‚ุจูˆู„ุŒ ูŠุนู†ูŠ ุฑู‚ู… ุฌูŠุฏุŒ ุฏุนู†ุง ู†ู‚ูˆู„ุŒ ูŠุณุชุทูŠุน ุงู„ู€
2342
+
2343
+ 753
2344
+ 00:59:21,090 --> 00:59:25,910
2345
+ hacker ุฃู† ูŠุนู…ู„ ุนู„ูŠู‡ ุฃูˆ ูŠููƒ ุชุดููŠุฑู‡ .. ูŠููƒู‘
2346
+
2347
+ 754
2348
+ 00:59:25,910 --> 00:59:29,510
2349
+ ุชุดููŠุฑู‡ .. ุทูŠุจุŒ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุณู†ุชุญุฏุซ ุฃูŠุถู‹ุง ููŠ
2350
+
2351
+ 755
2352
+ 00:59:29,510 --> 00:59:34,090
2353
+ ู†ูุณ ุงู„ุณูŠุงู‚ุŒ ุฃุตุจุญ ู„ุฏูŠู†ุง NุŒ ู†ุชุนุงู…ู„ ู…ุน ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ
2354
+
2355
+ 756
2356
+ 00:59:34,090 --> 00:59:38,230
2357
+ ุฌู…ูŠุนูƒู… ูŠุนุฑู ุฃู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฎุทูŠุฉุŒ ู„ู„ุญุตูˆู„ ุนู„ู‰ ู‚ูŠู…ุฉ X
2358
+
2359
+ 757
2360
+ 00:59:38,230 --> 00:59:41,870
2361
+ ุงู„ุชุงุจุนุฉ ู„ู‡ุงุŒ ู†ุญุชุงุฌ ุฅู„ู‰ ุฅูŠุฌุงุฏ ุงู„ู€ inverse ู„ู€ coefficient
2362
+
2363
+ 758
2364
+ 00:59:43,240 --> 00:59:45,340
2365
+ ุงู„ู€ inverseุŒ ู‡ูˆ ุงู„ู€ coefficientุŒ ู‡ุฐุง ู…ูˆุถูˆุนู†ุง ุงู„ู…ุฑุฉ
2366
+
2367
+ 759
2368
+ 00:59:45,340 --> 00:59:50,280
2369
+ ุงู„ู‚ุงุฏู…ุฉุŒ ุงู„ุฐูŠ ุณูŠูƒูˆู† ู„ุฏูŠูƒ ax equivalent ุฃูˆ
2370
+
2371
+ 760
2372
+ 00:59:50,280 --> 00:59:56,660
2373
+ congruent ู„ู€ bุŒ ุญุณู†ู‹ุงุŒ ูุฅู† ู‚ูŠู… x ุงู„ุชูŠ ุชุญู‚ู‚ ู‡ุฐู‡
2374
+
2375
+ 761
2376
+ 00:59:56,660 --> 01:00:01,720
2377
+ ุงู„ู…ุนุงุฏู„ุฉุŒ ุจุงู„ุชุฃูƒูŠุฏุŒ ุณู†ุญุชุงุฌ ุฅู„ู‰ ุฅูŠุฌุงุฏ ุงู„ู€ inverseุŒ ุฌู…ูŠุนู†ุง
2378
+
2379
+ 762
2380
+ 01:00:01,720 --> 01:00:04,740
2381
+ ูŠุนุฑู ุงู„ู€ inverse ููŠ ุงู„ุฑูŠุงุถูŠุงุช ุงู„ุนุงุฏูŠุฉุŒ ู„ูƒู† ูƒูŠู
2382
+
2383
+ 763
2384
+ 01:00:04,740 --> 01:00:11,170
2385
+ ู†ุชุนุงู…ู„ ู…ุนู‡ุง ููŠ ุงู„ู€ moduloุŒ ู‚ุตุฉ ุฃุฎุฑู‰ .. ู‚ุตุฉ ุฃุฎุฑู‰
2386
+
2387
+ 764
2388
+ 01:00:11,170 --> 01:00:14,430
2389
+ ุณู†ูุนุงู„ูุฌู‡ุง ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉุŒ ูˆ ู†ุจุฏุฃ ุจุงู„ุนู…ู„ ุนู„ูŠู‡ุงุŒ ูˆ
2390
+
2391
+ 765
2392
+ 01:00:14,430 --> 01:00:18,750
2393
+ ู†ุฃุฎุฐ ุนู„ูŠู‡ุง ุฃู…ุซู„ุฉุŒ ูˆุจุงู„ู…ู†ุงุณุจุฉุŒ ู…ู† ุงู„ุฃู…ุซู„ุฉ ุงู„ุชูŠ ูƒุซูŠุฑุงู‹
2394
+
2395
+ 766
2396
+ 01:00:18,750 --> 01:00:22,670
2397
+ ู…ุง ุชุฃุชูŠ ููŠ ุงู„ุงู…ุชุญุงู†ุงุชุŒ ุนู†ุฏู…ุง ุชุฏุฎู„ ุฃูŠุถู‹ุง ุนู„ู‰ ุงู„ู€
2398
+
2399
+ 767
2400
+ 01:00:22,670 --> 01:00:27,310
2401
+ Pseudoprimes ุงู„ุชูŠ ู‡ูŠ ุฃุนุฏุงุฏ ุดุจูŠู‡ุฉ ุจู€ PrimesุŒ ู‡ุฐู‡ ุฅุฐุง
2402
+
2403
+ 768
2404
+ 01:00:27,310 --> 01:00:30,670
2405
+ ุฃู†ุช ูƒู…ุง ูŠู‚ูˆู„ุŒ ุนุฌุฒุช ุนู† ุฅูŠุฌุงุฏ prime ู…ู†ุงุณุจ ู„ู„ู€
2406
+
2407
+ 769
2408
+ 01:00:30,670 --> 01:00:34,170
2409
+ code ุงู„ุฎุงุต ุจูƒุŒ ูŠู…ูƒู†ูƒ ุงู„ุชุนุงู…ู„ ู…ุนู‡ุงุŒ ูƒูŠู ุชูู†ุดุฆู‡ุงุŸ
2410
+
2411
+ 770
2412
+ 01:00:34,170 --> 01:00:38,350
2413
+ ูƒูŠู ุชุญุตู„ ุนู„ูŠู‡ุงุŸ ุณู†ุชุญุฏุซ ุนู†ู‡ุงุŒ ู„ุฃู†ู‡ุง ุชููŠุฏูƒ ุบุฏู‹ุง ููŠ
2414
+
2415
+ 771
2416
+ 01:00:38,350 --> 01:00:40,430
2417
+ ุงู„ู€ securityุŒ ุบุฏู‹ุง ุชููŠุฏูƒ ููŠ ุงู„ู€ securityุŒ ุนู†ุฏู…ุง ุชุฑูŠุฏ
2418
+
2419
+ 772
2420
+ 01:00:40,430 --> 01:00:43,110
2421
+ ุฃู† ุชู‚ูˆู… ุจุชุดููŠุฑุŒ ูˆุชุฑูŠุฏ ุนู…ู„ encryptionุŒ ุชุฑูŠุฏ ู‡ุฐู‡
2422
+
2423
+ 773
2424
+ 01:00:43,110 --> 01:00:45,350
2425
+ ุงู„ุฃุนุฏุงุฏ ู…ู‡ู…ุฉ ุฌุฏู‹ุงุŒ ูŠุนุทูŠูƒู… ุงู„ุนุงููŠุฉุŒ ูˆุณู†ูƒู…ู„ ุงู„ู…ุฑุฉ
2426
+
2427
+ 774
2428
+ 01:00:45,350 --> 01:00:46,150
2429
+ ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/5UPxa-XTrXY.srt ADDED
@@ -0,0 +1,1666 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,770 --> 00:00:08,230
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุฏุฃู†ุง ุงู„ุญุฏูŠุซ ููŠ ุงู„ู…ุญุงุถุฑุฉ
4
+
5
+ 2
6
+ 00:00:08,230 --> 00:00:15,970
7
+ ุงู„ุณุงุจู‚ุฉ ุนู† ุงู„ู€ cell signaling ูˆุฐูƒุฑู†ุง ุงู„ู€ steps
8
+
9
+ 3
10
+ 00:00:15,970 --> 00:00:21,770
11
+ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ุง ุงู„ุฅุดุงุฑุฉ ู…ู† ุฎุงุฑุฌ
12
+
13
+ 4
14
+ 00:00:21,770 --> 00:00:27,370
15
+ ุงู„ุฎู„ูŠุฉ ูˆุตูˆู„ุงู‹ ุฅู„ู‰ ูˆุญูƒูŠู†ุง ุนู† ุงู„ู€ growth factor
16
+
17
+ 5
18
+ 00:00:27,370 --> 00:00:31,630
19
+ bindingุŒ ูˆุจุนุฏ ู‡ูŠูƒ ุงู„ู€ dimerization ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู„ู„ู€
20
+
21
+ 6
22
+ 00:00:31,630 --> 00:00:37,290
23
+ receptorุŒ ูˆุจุนุฏูŠู† ุงู„ู€ auto phosphorylationุŒ ูˆุจุนุฏ ู‡ูŠูƒ
24
+
25
+ 7
26
+ 00:00:37,290 --> 00:00:43,370
27
+ ุงู†ุชู‚ุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ.. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุฏุงุฎู„
28
+
29
+ 8
30
+ 00:00:43,370 --> 00:00:48,790
31
+ ุงู„ุฎู„ูŠุฉุŒ ูˆ ุงู„ู€ activation of intracellular kinase
32
+
33
+ 9
34
+ 00:00:48,790 --> 00:00:55,470
35
+ cascadeุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ map kinase cascadeุŒ ูˆูˆุตู„ู†ุง ุฅู„ู‰
36
+
37
+ 10
38
+ 00:00:55,470 --> 00:01:01,320
39
+ ุงู„ู†ู‚ุทุฉ E ูˆู‡ูŠ ุงู„ู€ activation of transcription factors
40
+
41
+ 11
42
+ 00:01:01,320 --> 00:01:06,760
43
+ ูŠุจู‚ู‰ ุงู„ุฎุทูˆุฉ E ู‡ูŠ ุงู„ู€ regulation of transcription
44
+
45
+ 12
46
+ 00:01:06,760 --> 00:01:13,100
47
+ factorsุŒ ูˆุญู†ุฃุฎุฐ ูƒู€ model ู‡ู†ุง ุงู„ู€ AP1 transcription
48
+
49
+ 13
50
+ 00:01:13,100 --> 00:01:19,680
51
+ factor ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ุณุงุจู‚ุงู‹ุŒ ุงู„ู€ AP1 ูŠุนุชุจุฑ
52
+
53
+ 14
54
+ 00:01:19,680 --> 00:01:25,260
55
+ important target of the MAP-K cascadeุŒ ูŠุจู‚ู‰ ุจุชุชู… ุงู„ู€
56
+
57
+ 15
58
+ 00:01:25,260 --> 00:01:36,270
59
+ activation ู„ู„ู€ AP1 ุนู† ุทุฑูŠู‚ ุงู„ู€ MAPK CascadeุŒ ูˆุทุจุนุงู‹
60
+
61
+ 16
62
+ 00:01:36,270 --> 00:01:41,230
63
+ ุจุนุฏ ู…ุง ูŠุชู… ุงู„ู€ activation ู„ู„ู€ AP1 ุจูŠุฑุชุจุทุŒ ุงุญู†ุง
64
+
65
+ 17
66
+ 00:01:41,230 --> 00:01:44,610
67
+ ุจู†ุญูƒูŠ ุนู„ู‰ transcription factorุŒ ุจูŠุฑุชุจุท ู…ุน ุงู„ู€ DNA
68
+
69
+ 18
70
+ 00:01:44,610 --> 00:01:48,690
71
+ ุนู„ู‰ ุงู„ู€ response elementุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุนู…ู„ ู„ู‡ regulation
72
+
73
+ 19
74
+ 00:01:48,690 --> 00:01:54,430
75
+ ู„ู„ุฌูŠู†ุงุช ุงู„ู…ุฎุชู„ูุฉุŒ ูˆุฌูŠู†ุงุช ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ู„ู‡ุง
76
+
77
+ 20
78
+ 00:01:54,430 --> 00:02:03,430
79
+ ุนู„ุงู‚ุฉ ุจุงู„ุชู†ู…ูŠุฉ ุงู„ู…ุฎุชู„ูุฉุŒ ูˆุฃูŠุถุงู‹ ุจุงู„ู…ูˆุชุŒ ูˆุงุญุฏ
80
+
81
+ 21
82
+ 00:02:03,430 --> 00:02:06,250
83
+ ู…ู† ุงู„ู…ูŠูƒุงู†ูŠุฒู…ุงุช ุงู„ู„ูŠ ุจูŠู‚ูˆู… ุจู‡ุง ู‡ูˆ ุฅุฏุฎุงู„ ุชู†ู…ูŠุฉ ุณู„ุณู„ุฉ
84
+
85
+ 22
86
+ 00:02:06,250 --> 00:02:12,370
87
+ ุจุฑูˆุฌุฑูŠุดู†ุŒ ู‡ูˆ ุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰ ูˆุฅุฏุฎุงู„ ุงู„ุฌูŠู†ุงุช Cycline D
88
+
89
+ 23
90
+ 00:02:13,530 --> 00:02:16,950
91
+ ุจู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู† ุงู„ู€ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ cell
92
+
93
+ 24
94
+ 00:02:16,950 --> 00:02:24,630
95
+ cycleุŒ ูˆุงู„ู„ูŠ ุจูŠุชู… ุงู„ู€ activation ุฃูˆ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง
96
+
97
+ 25
98
+ 00:02:24,630 --> 00:02:27,010
99
+ expression ู„ู‡ุฐุง ุงู„ู€ gene ุจุนุฏ ู…ุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
100
+
101
+ 26
102
+ 00:02:27,010 --> 00:02:33,430
103
+ activation ู„ู„ู€ AP1 ูˆูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€ promoter ู„ู„ู€
104
+
105
+ 27
106
+ 00:02:33,430 --> 00:02:38,190
107
+ Cycline D geneุŒ ูˆู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ Cycline D ู„ู…ุง ู†ุญูƒูŠ
108
+
109
+ 28
110
+ 00:02:38,190 --> 00:02:41,250
111
+ ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ู€ cell cycle
112
+
113
+ 29
114
+ 00:02:44,610 --> 00:02:49,330
115
+ ูƒู…ุง ุฐูƒุฑู†ุง ุณุงุจู‚ุงู‹ ุฃู† ุงู„ู€ Transcription Factor
116
+
117
+ 30
118
+ 00:02:49,330 --> 00:02:55,170
119
+ ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุนู…ู„ Regulation ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes
120
+
121
+ 31
122
+ 00:02:55,170 --> 00:03:01,490
123
+ ูˆุนู†ุฏู†ุง ุฃูŠุถุงู‹ ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู€ AP1ุŒ ูˆุฒูŠ ู…ุง ู‡ูˆ
124
+
125
+ 32
126
+ 00:03:01,490 --> 00:03:06,090
127
+ ูˆุงุถุญ ุจุงู„ู€ Figure ู‡ู†ุงุŒ ุงู„ู€ AP1 ุจูŠุนู…ู„ Expression
128
+
129
+ 33
130
+ 00:03:06,090 --> 00:03:09,150
131
+ ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€
132
+
133
+ 34
134
+ 00:03:09,150 --> 00:03:13,800
135
+ DifferentiationุŒ ุจุงู„ู€ Cell Cycle ProgressionุŒ ูˆุฃูŠุถุงู‹
136
+
137
+ 35
138
+ 00:03:13,800 --> 00:03:21,920
139
+ ุจุงู„ู€ apoptosisุŒ ูˆู‚ู„ู†ุง ู‡ู†ุง ุจุฑุถู‡ ุณุงุจู‚ุงู‹ ุฃู† ุงู„ู€ AP1 ู‡ูˆ
140
+
141
+ 36
142
+ 00:03:21,920 --> 00:03:30,310
143
+ ุนุจุงุฑุฉ ุนู† ุฏูŠู…ุฑุŒ ูˆุนู†ุฏู†ุง families ุงู„ู„ูŠ ุจุชูƒูˆู† ู‡ุฐู‡ ุงู„ู€
144
+
145
+ 37
146
+ 00:03:30,310 --> 00:03:35,670
147
+ dimers ููŠ ุงู„ู€ AP1ุŒ ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ู€ Jun ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€ Fos
148
+
149
+ 38
150
+ 00:03:35,670 --> 00:03:39,490
151
+ ุฃูŠุถุงู‹ุŒ ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญุŒ ุฅู† ุฅูŠุด ุงู„ู€ protein ุงู„ู„ูŠ
152
+
153
+ 39
154
+ 00:03:39,490 --> 00:03:43,630
155
+ ุจูŠุตูŠุฑ ู„ู‡ ุทุจุนุงู‹ุŒ ู„ูˆ ุฃุญุฏ ู…ูƒูˆู†ุงุช ุงู„ู€ AP1ุŒ ุฅูŠุด ุงู„ู€ protein
156
+
157
+ 40
158
+ 00:03:43,630 --> 00:03:50,390
159
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู„ู‡ activationุŒ ูˆููŠ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุงุŒ ูŠุจู‚ู‰
160
+
161
+ 41
162
+ 00:03:50,390 --> 00:03:57,410
163
+ ุฅูŠุด ุงู„ู…ูƒูˆู† ู„ู„ู€ AP1ุŒ ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠุนู…ู„ ุงู„ู€ dimer ููŠ ุฃูŠ ู†ูˆุน
164
+
165
+ 42
166
+ 00:03:57,410 --> 00:04:03,890
167
+ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ูˆุฌูˆุฏุŒ ุชู…ุงู…ุŸ ู‡ู†ุง ู‡ูŠุนุทูŠู†ูŠ ุงู„ู€ effects
168
+
169
+ 43
170
+ 00:04:03,890 --> 00:04:13,770
171
+ ุงู„ู…ุฎุชู„ูุฉุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ู…ู…ูƒู† ููŠ ุฃู† ุงู„ู€ Jun ู…ุซู„ุงู‹ุŒ ุงู„ู€ Jun
172
+
173
+ 44
174
+ 00:04:13,770 --> 00:04:17,910
175
+ ููŠ ุงู„ู€ fibroblasts ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู€
176
+
177
+ 45
178
+ 00:04:17,910 --> 00:04:23,390
179
+ differentiationุŒ ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ู…ูƒู† ูŠูƒูˆู†
180
+
181
+ 46
182
+ 00:04:23,390 --> 00:04:29,310
183
+ Anti cell cycle progressionุŒ ุชู…ุงู…ุŸ ูˆุจุฑุถู‡ ุฅุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:29,310 --> 00:04:34,170
187
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ Jun D ู…ุซู„ุงู‹ุŒ ุจุฑุถู‡ ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู€
188
+
189
+ 48
190
+ 00:04:34,170 --> 00:04:38,270
191
+ differentiationุŒ ู„ูƒู† ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฏูˆุฑ ุฃูŠุถุงู‹ ููŠ ุงู„ู€
192
+
193
+ 49
194
+ 00:04:38,270 --> 00:04:43,290
195
+ cell cycle progressionุŒ ูˆู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ุงู„ู„ูŠ ู‡ูˆ ูƒู€
196
+
197
+ 50
198
+ 00:04:43,290 --> 00:04:48,690
199
+ anti-apoptotic agentุŒ ูŠุจูŠู† ู„ู†ุง ุญุณุจ ุฅูŠุด ุงู„ู…ูƒูˆู† ู„ู„ู€
200
+
201
+ 51
202
+ 00:04:48,690 --> 00:04:54,030
203
+ AP1ุŒ ุฅูŠุด ุงู„ู€ two monomers ุงู„ู„ูŠ ู‡ูŠุนุทูŠู†ุง ุงู„ู€ dimerุŒ ูˆุญุณุจ
204
+
205
+ 52
206
+ 00:04:54,030 --> 00:04:59,270
207
+ ู…ูˆุฌูˆุฏ ููŠ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุงุŒ ุญุชูƒูˆู† ุนู†ุฏู†ุง ุงู„ู€ effect
208
+
209
+ 53
210
+ 00:04:59,270 --> 00:05:05,370
211
+ ุทูŠุจุŒ ูุนู„ูŠุงู‹ ุฅูŠุด ุงู„ู„ูŠ ูŠุนู†ูŠ ู‡ูŠุนู…ู„ ู„ูŠ activation ู„ู„ู€
212
+
213
+ 54
214
+ 00:05:05,370 --> 00:05:09,810
215
+ different monomers ุนุดุงู† ูŠูƒูˆู†ูˆุง dimers ูˆูŠุนุทูˆู†ูŠ ุงู„ู„ูŠ
216
+
217
+ 55
218
+ 00:05:09,810 --> 00:05:13,270
219
+ ู‡ูˆ ุงู„ู€ AP1ุŒ ูˆุจุนุฏูŠู† ูŠุนุทูŠู†ูŠ ุงู„ู€ effect ุงู„ู…ุทู„ูˆุจุฉุŒ ุงู„ุขู†
220
+
221
+ 56
222
+ 00:05:13,270 --> 00:05:18,750
223
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ุทุจุนุงู‹ ู…ู† ุฎู„ุงู„ ุงู„ู€ research ุงู„ู„ูŠ ุชู… ุฅุฌุฑุงุคู‡ุง
224
+
225
+ 57
226
+ 00:05:18,750 --> 00:05:23,150
227
+ ุฅู† ุงู„ู€ contribution of AP1 to cell fate depends
228
+
229
+ 58
230
+ 00:05:23,150 --> 00:05:27,170
231
+ on the cellular context and the survival or death
232
+
233
+ 59
234
+ 00:05:27,170 --> 00:05:32,410
235
+ stimulusุŒ ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ signals ุงู„ู„ูŠ ุจุชุตู„
236
+
237
+ 60
238
+ 00:05:32,410 --> 00:05:36,530
239
+ ู„ู„ุฎู„ูŠุฉุŒ ูŠุจู‚ู‰ ุงู„ู€ signals ุงู„ู„ูŠ ุจุชุตู„ ู„ู„ุฎู„ูŠุฉ ู‡ูŠ
240
+
241
+ 61
242
+ 00:05:36,530 --> 00:05:40,710
243
+ ุงู„ู„ูŠ ุจุชุญุฏุฏ ุฅูŠุด ุงู„ู„ูŠ ุจูŠุญุตู„ ู„ู‡ activation ูˆุฅูŠุด ุงู„ุฏูˆุฑ
244
+
245
+ 62
246
+ 00:05:40,710 --> 00:05:46,090
247
+ ุงู„ู„ูŠ ู‡ูŠู„ุนุจู‡ ุงู„ู€ AP1ุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู…ูุญุฏุฏ ุขุฎุฑ ุจุฑุถู‡ ุฃูƒูŠุฏ
248
+
249
+ 63
250
+ 00:05:46,090 --> 00:05:50,170
251
+ ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ ูˆุตู„ุชู‡ุง ุงู„ู€ signalุŒ Therefore, the
252
+
253
+ 64
254
+ 00:05:50,170 --> 00:05:53,050
255
+ role of AP1 in apoptosis should be considered
256
+
257
+ 65
258
+ 00:05:53,050 --> 00:05:55,870
259
+ within the context of a complex network of
260
+
261
+ 66
262
+ 00:05:55,870 --> 00:05:59,070
263
+ signaling pathways and nuclear factors that
264
+
265
+ 67
266
+ 00:05:59,070 --> 00:06:03,430
267
+ respond simultaneouslyุŒ ูŠุจู‚ู‰ ูƒู…ุงู† ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
268
+
269
+ 68
270
+ 00:06:03,430 --> 00:06:10,450
271
+ ุจุฑุถู‡ ู…ุด ุจุณ ุงู„ู€ AP1 ุงู„ู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑุŒ ู„ุฃุŒ ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
272
+
273
+ 69
274
+ 00:06:10,450 --> 00:06:13,190
275
+ ุงู„ู„ูŠ ู‡ูˆ network of signaling pathwaysุŒ ูŠุจู‚ู‰ ููŠ
276
+
277
+ 70
278
+ 00:06:13,190 --> 00:06:18,690
279
+ ุนู†ุฏู†ุง ู…ู…ูƒู† ุฅุดุงุฑุงุช ู…ุฎุชู„ูุฉุŒ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุจูŠุตู„ู‡ุง
280
+
281
+ 71
282
+ 00:06:18,690 --> 00:06:23,930
283
+ activationุŒ ูˆู…ุน ุงู„ู€ AP1 ูˆุฃูŠ ู†ูˆุน ู…ู† ุงู„ู€ AP1 ุงู„ู„ูŠ ุจุฏูŠ
284
+
285
+ 72
286
+ 00:06:23,930 --> 00:06:29,350
287
+ ูŠุตู„ู‡ activationุŒ ุชู…ุงู…ุŸ ูƒู„ ู‡ุฐู‡ ุจุชุญุฏุฏ ุฅูŠุด ุงู„ู€ effect
288
+
289
+ 73
290
+ 00:06:29,350 --> 00:06:34,370
291
+ ุงู„ู„ูŠ ุจุฏู‡ุง ุชุตูŠุฑ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ุชู…ุงู…ุŸ ุจูŠุฌูŠ ู…ุฑุฉ ุฃุฎุฑู‰
292
+
293
+ 74
294
+ 00:06:34,370 --> 00:06:38,210
295
+ ุงู„ู€ signal ุงู„ู„ูŠ ุจุชุตู„ ู„ู„ุฎู„ูŠุฉุŒ ุฅูŠุด ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ
296
+
297
+ 75
298
+ 00:06:38,210 --> 00:06:43,810
299
+ ูˆุตู„ุชู‡ุง ุงู„ู€ signalุŒ ุฅูŠุด ุจุฏู‡ ูŠุตูŠุฑ activation ู„ุฃูŠ ู†ูˆุน
300
+
301
+ 76
302
+ 00:06:43,810 --> 00:06:50,550
303
+ ู…ู† ุงู„ู„ูŠ ู‡ูˆ AP1ุŒ ุชู…ุงู…ุŸ ูˆุฃูŠุถุงู‹ ุฅูŠุด ุงู„ู€ other signals
304
+
305
+ 77
306
+ 00:06:50,550 --> 00:06:55,650
307
+ pathways ุงู„ู„ูŠ ุญุตู„ ู„ู‡ุง ุจุฑุถู‡ activationุŒ ุจูŠุฏุฎู„ ูƒู„ู‘ู‡
308
+
309
+ 78
310
+ 00:06:55,650 --> 00:07:01,390
311
+ ุจู…ูุญุฏุฏุงุช ุงู„ุฎู„ูŠุฉุŒ ุญุชุฑูˆุญ ู„ูˆูŠู†ุŸ ู„ู€ differentiationุŒ ู„ู€ cell
312
+
313
+ 79
314
+ 00:07:01,390 --> 00:07:06,150
315
+ cycle progression ุฃูˆ ู„ู€ apoptosisุŒ ูˆู‡ุฐุง Figure ุขุฎุฑ
316
+
317
+ 80
318
+ 00:07:06,150 --> 00:07:12,170
319
+ ูŠุนู†ูŠ ุจูŠุนุทูŠู†ุง ุชูˆุถูŠุญ ุฃูƒุซุฑ ุนู†ุŒ ุจู‡ู†ุง ุงุญู†ุง ุจู†ุญูƒูŠ ุจุดูƒู„
320
+
321
+ 81
322
+ 00:07:12,170 --> 00:07:16,730
323
+ ุฎุงุต ุนู† ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ู…ู…ูƒู† ุจุชุนู…ู„ proliferation ุฃูˆ
324
+
325
+ 82
326
+ 00:07:16,730 --> 00:07:20,070
327
+ ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุจุชุนุชุจุฑ anti-proliferativeุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰
328
+
329
+ 83
330
+ 00:07:20,070 --> 00:07:26,030
331
+ ู‡ู†ุง ููŠู‡ Jun BุŒ ูˆJun ูˆJun DุŒ ูƒู„ ู‡ุฐู‡ members ู…ู† ุงู„ู€
332
+
333
+ 84
334
+ 00:07:26,030 --> 00:07:30,410
335
+ families ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ู€ AP1ุŒ ูŠุจู‚ู‰ ุญุณุจ ุงู„ู€ signal ูˆ
336
+
337
+ 85
338
+ 00:07:30,410 --> 00:07:35,370
339
+ ุฅูŠุด ุญูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง activationุŒ ุชู…ุงู…ุŸ ุจุนุฏ ู‡ูŠูƒ ุญูŠุตูŠุฑ ููŠู‡
340
+
341
+ 86
342
+ 00:07:35,370 --> 00:07:39,970
343
+ ุฃู†ู‡ ุฅู…ุง ูŠุนู†ูŠุŒ ู‡ูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ุงู„ู€ ุงู„ู€
344
+
345
+ 87
346
+ 00:07:39,970 --> 00:07:44,670
347
+ Jun B ู…ุซู„ุงู‹ุŒ ุงู„ู€ Jun B ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนู…ู„ inhibition
348
+
349
+ 88
350
+ 00:07:44,670 --> 00:07:53,170
351
+ ู„ู€ Cycline D ููŠ ุงู„ู€ fibroblastsุŒ ู„ูƒู† ุฃู†ู‡ ููŠ ุงู„ู€
352
+
353
+ 89
354
+ 00:07:53,170 --> 00:07:57,330
355
+ bone cells ู…ู…ูƒู† member ุขุฎุฑ ู…ู† ุงู„ู€ members ุงู„ู„ูŠ
356
+
357
+ 90
358
+ 00:07:57,330 --> 00:08:01,580
359
+ ุจุชูƒูˆู† ุงู„ู€ AP1 ุงู„ู„ูŠ ู…ุง ุญูƒูŠู†ุง ุนู„ูŠู‡ ุณุงุจู‚ุงู‹ ู‡ูˆ ุงู„ู€ ATF ุจุฑุถู‡
360
+
361
+ 91
362
+ 00:08:01,580 --> 00:08:06,280
363
+ ู‡ูŠุจู‚ู‰ุŒ ูŠุง ุฏูŠ family ุฃุฎุฑู‰ ู…ู† ุงู„ู…ูƒูˆู†ุงุช ู„ู„ู€ AP1ุŒ ูŠุจู‚ู‰
364
+
365
+ 92
366
+ 00:08:06,280 --> 00:08:10,680
367
+ ุนู†ุฏู†ุง ุงู„ู€ Jun ูˆุงู„ู€ Fos ูˆุงู„ู€ ATF ุฃูŠุถุงู‹ุŒ ูŠุจู‚ู‰ ุฅูŠุด ุจูŠุตูŠุฑ ููŠู‡
368
+
369
+ 93
370
+ 00:08:10,680 --> 00:08:14,060
371
+ ุฃู†ู‡ุŒ ูŠุนู†ูŠ ู‡ุงูŠ ููŠ ุงู„ู€ bone cells ุฃู† ุงู„ู€ ATF ู…ุซู„ุงู‹ ู‡ุฐุง
372
+
373
+ 94
374
+ 00:08:14,060 --> 00:08:20,140
375
+ ุจูŠุนู…ู„ activation ู„ู„ู€ Cycline DุŒ ุจูŠู†ู…ุง ุงู„ู€ Jun ู…ุซู„ุงู‹
376
+
377
+ 95
378
+ 00:08:20,140 --> 00:08:25,740
379
+ ู‡ู†ุงุŒ ู‡ู†ุง ุจูŠุนู…ู„ ู„ู‡ activation ู„ู„ู€ Cycline DุŒ ูŠุจู‚ู‰
380
+
381
+ 96
382
+ 00:08:25,740 --> 00:08:29,120
383
+ ุงู„ู€ different family members ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ู€ AP1
384
+
385
+ 97
386
+ 00:08:29,120 --> 00:08:32,100
387
+ ุญูŠุตูŠุฑ activation ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจู†ุงุกู‹ ุนู„ู‰ ุงู„ู€ signals
388
+
389
+ 98
390
+ 00:08:32,100 --> 00:08:38,000
391
+ ุงู„ู„ูŠ ุญุชุตู„ ู„ู„ุฎู„ูŠุฉุŒ ูˆุฅูŠู‡ ู†ูˆุน ุงู„ุฎู„ูŠุฉุŒ ูˆุจุงู„ุชุงู„ูŠ
392
+
393
+ 99
394
+ 00:08:38,000 --> 00:08:43,120
395
+ ุญุชุนุทูŠู†ูŠ ุฅู…ุง ุงู„ู€ antiproliferative effect ุฃูˆ ู…ู…ูƒู†
396
+
397
+ 100
398
+ 00:08:43,120 --> 00:08:47,500
399
+ ุชุนุทูŠู†ูŠ proliferative effectุŒ ุงู„ู€ AP1 activity is
400
+
401
+ 101
402
+ 00:08:47,500 --> 00:08:52,090
403
+ induced by two mechanismsุŒ ูŠุจู‚ู‰ ุนู†ุฏู†ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู…
404
+
405
+ 102
406
+ 00:08:52,090 --> 00:08:56,350
407
+ ุงู„ุฃูˆู„ู‰ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ direct phosphorylation
408
+
409
+ 103
410
+ 00:08:56,350 --> 00:09:05,210
411
+ ู„ู„ู€ members of Fos family by map KุŒ ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
412
+
413
+ 104
414
+ 00:09:05,210 --> 00:09:09,470
415
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ phosphorylation ู‡ุฐู‡ ุญุชุฃุซุฑ ุนู„ู‰ ุงู„ู€ DNA
416
+
417
+ 105
418
+ 00:09:09,470 --> 00:09:14,990
419
+ binding activityุŒ ุงู„ุดุบู„ ุงู„ุซุงู†ูŠ ุฃู†ู‡ ุงู„ู€ map K
420
+
421
+ 106
422
+ 00:09:14,990 --> 00:09:18,790
423
+ phosphorylation and subsequent activation of other
424
+
425
+ 107
426
+ 00:09:18,790 --> 00:09:21,850
427
+ transcription factors increases the expression of
428
+
429
+ 108
430
+ 00:09:21,850 --> 00:09:26,630
431
+ both FOS and JUN genesุŒ ูŠุจู‚ู‰ ุจุทุฑูŠู‚ุชูŠู† ุงู„ู€ activity
432
+
433
+ 109
434
+ 00:09:26,630 --> 00:09:33,170
435
+ ู„ู„ู€ AP1 ุจุชุฒูŠุฏุŒ ุฅู…ุง ุจุฒูŠุงุฏุฉ ุฅู†ุชุงุฌ ุงู„ู€ FOS ูˆุงู„ู€ JUN
436
+
437
+ 110
438
+ 00:09:33,170 --> 00:09:39,490
439
+ ุงู„ู„ูŠ ุญูŠูƒูˆู†ูˆุง ู„ูŠ ุงู„ู€ AP1ุŒ ุฃูˆ ุนู† ุทุฑูŠู‚ ุงู„ู€ phosphorylation
440
+
441
+ 111
442
+ 00:09:39,490 --> 00:09:45,590
443
+ ุงู„ู„ูŠ ุญุชุตูŠุฑ ู„ู„ู€ AP1ุŒ ูˆุจุงู„ุชุงู„ูŠ ุญูŠุฒูŠุฏ ู…ู† ุงู„ู€ affinity
444
+
445
+ 112
446
+ 00:09:45,590 --> 00:09:50,950
447
+ ู„ู„ุงูุฑุชุจุงุท ู…ุน ุงู„ู€ DNAุŒ ูˆุจุงู„ุชุงู„ูŠ expression ู„ู„ู€
448
+
449
+ 113
450
+ 00:09:50,950 --> 00:09:54,770
451
+ genes ุงู„ู…ุนู†ูŠุฉุŒ as a result AP1 activity increases
452
+
453
+ 114
454
+ 00:09:54,770 --> 00:09:59,530
455
+ and subsequent transcriptional regulation proceeds
456
+
457
+ 115
458
+ 00:09:59,530 --> 00:10:06,680
459
+ ูˆู‡ุฐุง ุงู„ู€ Figure ุจูŠูˆุถุญ ุฃู†ู‡ุŒ ุทุจุนุงู‹ ู…ุน ูˆุตูˆู„ ุงู„ู€ signal ุฒูŠ
460
+
461
+ 116
462
+ 00:10:06,680 --> 00:10:11,840
463
+ ู…ุง ู‚ู„ู†ุงุŒ ุฅู…ุง ุจูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ู€ expressionุŒ ุนุงูŠุจ ุฌุฏุงู‹ ู…ู…ูƒู†
464
+
465
+ 117
466
+ 00:10:11,840 --> 00:10:13,780
467
+ ุชุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง phosphorylation ู„ู€ transcription
468
+
469
+ 118
470
+ 00:10:13,780 --> 00:10:18,340
471
+ factors ุฃุฎุฑู‰ุŒ ูˆู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ transcription factors
472
+
473
+ 119
474
+ 00:10:18,340 --> 00:10:23,020
475
+ ุจุชุฒูŠุฏ ุงู„ู€ expression ู„ู„ู€ C-Fos ูˆtranscription
476
+
477
+ 120
478
+ 00:10:23,020 --> 00:10:27,780
479
+ factors ุฃุฎุฑู‰ุŒ ู…ู…ูƒู† ุชุฒูŠุฏ ุงู„ู€ expression ู„ู„ู€ C-Jun
480
+
481
+ 121
482
+ 00:10:28,240 --> 00:10:33,560
483
+ genesุŒ ูˆู‡ุฐูˆู„ ุญูŠูƒูˆู†ูˆุง ู„ูŠ ุงู„ู€ AP1ุŒ ูˆุงู„ู€ AP1 ุญุชุนู…ู„
484
+
485
+ 122
486
+ 00:10:33,560 --> 00:10:38,100
487
+ expression ู„ู„ู€ genes ุงู„ู…ุฎุชู„ูุฉุŒ ูŠุจู‚ู‰ ุฅู…ุง ุจุฒูŠุงุฏุฉ ุงู„ู€
488
+
489
+ 123
490
+ 00:10:38,100 --> 00:10:42,460
491
+ expressionุŒ ุฃูˆ ู…ู…ูƒู†ุŒ ูŠุนู†ูŠ ู…ุด ูˆุงุถุญ ุจุงู„ุตูˆุฑุฉ ู‡ุฐู‡ุŒ ู„ูƒู†
492
+
493
+ 124
494
+ 00:10:42,460 --> 00:10:47,880
495
+ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ูŠุตูŠุฑ ููŠู‡ ุฃู† phosphorylation ู„ู€ C-Fos
496
+
497
+ 125
498
+ 00:10:47,880 --> 00:10:52,640
499
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ูˆู‡ุฐุง ูŠุฒูŠุฏ ู…ู† ุงุฑุชุจุงุทู‡ ู…ุน ุงู„ู€
500
+
501
+ 126
502
+ 00:10:52,640 --> 00:10:57,330
503
+ response elementsุŒ ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถุงู‹ expression ู„ู„ู€ genes
504
+
505
+ 127
506
+ 00:10:57,330 --> 00:11:02,470
507
+ ู…ุนูŠู†ุฉุŒ ู…ุซุงู„ ุขุฎุฑ ุฃูŠุถุงู‹ ุนู„ู‰ ุงู„ู€ transcription factor
508
+
509
+ 128
510
+ 00:11:02,470 --> 00:11:06,510
511
+ ุนู†ุฏู†ุง ุงู„ู€ MycุŒ ุงู„ู€ transcription factorุŒ ูˆููŠ ุนู†ุฏู†ุง
512
+
513
+ 129
514
+ 00:11:06,510 --> 00:11:10,810
515
+ ุนุงุฆู„ุฉ ุงู„ู€ MycุŒ ููŠ ุนู†ุฏู†ุง ุฃูƒุชุฑ ู…ู† memberุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€
516
+
517
+ 130
518
+ 00:11:10,810 --> 00:11:16,870
519
+ c-Myc ูˆุงู„ู€ l-Myc ูˆุฃูŠุถุงู‹ ุงู„ู€ n-MycุŒ ูˆู‡ุฐู‡ ุงู„ุนุงุฆู„ุฉ
520
+
521
+ 131
522
+ 00:11:16,870 --> 00:11:20,870
523
+ ู…ู† ุงู„ู€ transcription factors ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ Myc ุจุชุฑุชุจุท
524
+
525
+ 132
526
+ 00:11:20,870 --> 00:11:24,410
527
+ ุฃูŠุถุงู‹ ู…ุน transcription factors ุฃุฎุฑู‰ ุฒูŠ ุงู„ู€ MaxุŒ ุฒูŠ ุงู„ู€
528
+
529
+ 133
530
+ 00:11:24,410 --> 00:11:29,810
531
+ MadุŒ ูˆุฒูŠ ุงู„ู€ MaxุŒ ูŠุจู‚ู‰ they can dimerize in
532
+
533
+ 134
534
+ 00:11:29,810 --> 00:11:32,890
535
+ different ways and lead to distinct biological
536
+
537
+ 135
538
+ 00:11:32,890 --> 00:11:37,110
539
+ effects on growth, differentiation and deathุŒ ูŠุจู‚ู‰
540
+
541
+ 136
542
+ 00:11:37,110 --> 00:11:42,670
543
+ ุญุณุจ ุฃูŠ transcription factor ุญูŠุฑุชุจุท ู…ุน ุฃูŠ member ู‡ูˆ
544
+
545
+ 137
546
+ 00:11:42,670 --> 00:11:46,510
547
+ ุงู„ู„ูŠ ุญูŠุนุทูŠู†ูŠ ุงู„ู€ effects ุฃูˆ ุงู„ู€ biological effects
548
+
549
+ 138
550
+ 00:11:46,510 --> 00:11:49,950
551
+ ุงู„ู…ุฎุชู„ูุฉุŒ ุฃูŠุถุงู‹ ู‡ุฐู‡ ุงู„ู€ transcription factors ุจุฑุถู‡
552
+
553
+ 139
554
+ 00:11:49,950 --> 00:11:54,990
555
+ several seem to be targets of map KุŒ ูŠุจู‚ู‰ ุจุฑุถู‡ ุจูŠุตูŠุฑ ู„ู‡ุง
556
+
557
+ 140
558
+ 00:11:54,990 --> 00:11:59,050
559
+ activation ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ MAPK ุฒูŠ ู…ุง ุดูู†ุง ููŠ
560
+
561
+ 141
562
+ 00:11:59,050 --> 00:12:03,230
563
+ ุญุงู„ุฉ ุงู„ู€ AP1ุŒ ุจุงู„ู†ุณุจุฉ ู„ู€ Myc is a short-lived
564
+
565
+ 142
566
+ 00:12:03,230 --> 00:12:08,130
567
+ protein that promotes proliferation by regulating
568
+
569
+ 143
570
+ 00:12:08,130 --> 00:12:12,590
571
+ the expression of specific target genesุŒ ูŠุจู‚ู‰ ุจูŠุนู…ู„
572
+
573
+ 144
574
+ 00:12:12,590 --> 00:12:17,270
575
+ proliferation ุนู† ุทุฑูŠู‚ ุงู„ู€ expressionุŒ ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ
576
+
577
+ 145
578
+ 00:12:17,270 --> 00:12:22,450
579
+ ู‡ูˆ ุฒูŠุงุฏุฉ ุงู„ู€ expression ู„ู€ GenesุŒ ุฒูŠ ุนู†ุฏู†ุง ุงู„ู€ N-RAS
580
+
581
+ 146
582
+ 00:12:22,450 --> 00:12:28,970
583
+ ูˆุนู†ุฏู†ุง ุงู„ู€ p53ุŒ ุงู„ู…ูŠูƒ ูŠุทู„ุจ ู…ู† ุงู„ู€ Constitutively
584
+
585
+ 147
586
+ 00:12:28,970 --> 00:12:33,070
587
+ Expressed Max Protein to functionุŒ ูŠุจู‚ู‰ ู„ุงุฒู… ูŠุตูŠุฑ
588
+
589
+ 148
590
+ 00:12:33,070 --> 00:12:37,890
591
+ ุนู†ุฏู†ุง dimerization ุจูŠู† ุงู„ู…ูŠูƒ ูˆุจูŠู† ุงู„ู€ MaxุŒ ุงู„ู€
592
+
593
+ 149
594
+ 00:12:37,890 --> 00:12:41,910
595
+ Transcription Factor ุนุดุงู† ูŠูƒูˆู† ุงู„ู…ูŠูƒ ู‚ุงุฏุฑ ุนู„ู‰
596
+
597
+ 150
598
+ 00:12:41,910 --> 00:12:47,030
599
+ ุงู„ุงุฑุชุจุงุท ู…ุน ุงู„ู€ DNA ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ expression ู„ู€
600
+
601
+ 151
602
+ 00:12:47,030 --> 00:12:50,910
603
+ genes ู…ุนูŠู†ุฉุŒ ุจูŠู†ู…ุง ุงู„ู€ heterodimers ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ
604
+
605
+ 152
606
+ 00:12:50,910 --> 00:12:54,890
607
+ ู…ู…ูƒู† ุชุชูƒูˆู† ู…ู† ู‡ุฐู‡ ุงู„ู€ transcription factors ุฒูŠ
608
+
609
+ 153
610
+ 00:12:54,890 --> 00:12:59,270
611
+ ุนู†ุฏู†ุง ุงู„ู€ Max Max ุฃูˆ ุงู„ู€ Mad MaxุŒ ู‡ุฐูˆู„ ูŠุนุชุจุฑูˆุง
612
+
613
+ 154
614
+ 00:12:59,270 --> 00:13:05,830
615
+ inhibitory ู„ู€ Myc functionุŒ ูˆู‡ุฐุง ูˆุงุถุญ ููŠ ุงู„ููŠุฌุฑ
616
+
617
+ 155
618
+ 00:13:05,830 --> 00:13:09,150
619
+ ุงู„ุชุงู„ูŠุŒ ุงุญู†ุง ู‚ู„ู†ุง ุฃู† ุงู„ู€ Myc transcription factor
620
+
621
+ 156
622
+ 00:13:09,150 --> 00:13:15,330
623
+ ุจูŠุญุชุงุฌ ุฅู„ู‰ MaxุŒ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ activation ู„ู„ู€
624
+
625
+ 157
626
+ 00:13:15,330 --> 00:13:18,810
627
+ transcription factor ูˆุงุฑุชุจุงุทู‡ ุนู„ู‰ ุงู„ู€ response
628
+
629
+ 158
630
+ 00:13:18,810 --> 00:13:22,230
631
+ elementุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ transcription ู„ู„ู€ target
632
+
633
+ 159
634
+ 00:13:22,230 --> 00:13:27,230
635
+ genesุŒ ุจูŠู†ู…ุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ู…ู† ุงู„ู€ Max ู…ุน
636
+
637
+ 160
638
+ 00:13:27,230 --> 00:13:31,770
639
+ ุงู„ู€ MaxุŒ ู‡ุฐุง ู‡ูŠุนู…ู„ competition ู…ุน ุงู„ู€ Myc ูˆุงู„ู€
640
+
641
+ 161
642
+ 00:13:31,770 --> 00:13:36,590
643
+ MaxุŒ ุจุญูŠุซ ู‡ุฐุง ู…ู…ูƒู† ูŠู…ู†ุน ุงุฑุชุจุงุทู‡ ู„ุฃู†ู‡ ุญููŠู†ุงูุณ ุงู„ู€ Myc
644
+
645
+ 162
646
+ 00:13:36,590 --> 00:13:41,010
647
+ Max ููŠ ุงู„ุงุฑุชุจุงุท ุนู„ู‰ ุงู„ู€ response elementุŒ ุจูŠู†ู…ุง ุฅุฐุง
648
+
649
+ 163
650
+ 00:13:41,010 --> 00:13:44,690
651
+ ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ุจูŠู† ุงู„ู€ Mad ูˆุจูŠู† ุงู„ู€ MaxุŒ ู‡ุฐุง
652
+
653
+ 164
654
+ 00:13:44,690 --> 00:13:48,710
655
+ ู‡ูŠุนู…ู„ repressionุŒ ุชู…ุงู…ุŸ ุญูŠุฑุชุจุท ุนู„ู‰ response
656
+
657
+ 165
658
+ 00:13:48,710 --> 00:13:52,850
659
+ elementุŒ ูˆุญูŠุนู…ู„ repressionุŒ ุญูƒูŠู†ุง ุณุงุจู‚ุงู‹ ุนู„ู‰ ุฃู‡ู…ูŠุฉ
660
+
661
+ 166
662
+ 00:13:52,850 --> 00:13:58,990
663
+ ุงู„ุฑุงุณ ููŠ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุงู„ู€ cell membrane ุฅู„ู‰ ุฏุงุฎู„
664
+
665
+ 167
666
+ 00:13:58,990 --> 00:14:05,290
667
+ ุงู„ุฎู„ูŠุฉุŒ ูˆู‚ู„ู†ุง ุฃู† ุงู„ุฑุงุณ ูŠุนุชุจุฑ a pivotal point ููŠ
668
+
669
+ 168
670
+ 00:14:05,290 --> 00:14:09,690
671
+ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉุŒ ูˆูŠุนุชุจุฑ major player for the
672
+
673
+ 169
674
+ 00:14:09,690 --> 00:14:12,930
675
+ integration of a growth factor signal with a
676
+
677
+ 170
678
+ 00:14:12,930 --> 00:14:16,790
679
+ number of crucial signaling pathwaysุŒ ูˆุงุญู†ุง ููŠ
680
+
681
+ 171
682
+ 00:14:16,790 --> 00:14:20,670
683
+ ุงู„ู…ุญุงุถุฑุงุช ุงู„ุณุงุจู‚ุฉ ุดูู†ุง ุฅู†ู‡ ุงู„ุฑุงุณ ู…ู…ูƒู† ูŠุนู…ู„
684
+
685
+ 172
686
+ 00:14:20,670 --> 00:14:25,470
687
+ activation ู„ู„ู€ RafุŒ ูˆุจุนุฏ ู‡ูŠูƒ ู„ู„ู€ map kinase
688
+
689
+ 173
690
+ 00:14:25,470 --> 00:14:29,990
691
+ cascadeุŒ ู„ูƒู† ููŠ ุนู†ุฏู†ุง ุฃูŠุถุงู‹ ุจุฑุถู‡ pathway ุฃุฎุฑู‰ ู…ู…ูƒู†
692
+
693
+ 174
694
+ 00:14:29,990 --> 00:14:34,680
695
+ ูŠุตูŠุฑ ู„ู‡ุง activation ุนู† ุทุฑูŠู‚ ุงู„ุฑุงุณุŒ ูˆุนู†ุฏู†ุง ุงู„ู€ pathway
696
+
697
+ 175
698
+ 00:14:34,680 --> 00:14:38,360
699
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ ุนู† ุทุฑูŠู‚ ุงู„ู€ activation ู„ู„ู€ phosphatidyl
700
+
701
+ 176
702
+ 00:14:38,360 --> 00:14:43,040
703
+ inositol 3-kinaseุŒ ุนุจุงุฑุฉ ุนู† lipid kinaseุŒ ูˆุงู„ู„ูŠ ูŠุนุชุจุฑ
704
+
705
+ 177
706
+ 00:14:43,040 --> 00:14:47,700
707
+ ุงู„ู„ูŠ ูŠุนุชุจุฑ another effector protein downstream of
708
+
709
+ 178
710
+ 00:14:47,700 --> 00:14:51,840
711
+ RasุŒ ูˆู‡ู†ุง ูˆุงุถุญ ุจุงู„ู€ FigureุŒ ุงุญู†ุง ู‚ู„ู†ุง ุฃู† ุงู„ู€ path
712
+
713
+ 179
714
+ 00:14:51,840
715
+
716
+ 223
717
+ 00:18:32,900 --> 00:18:37,760
718
+ ูˆุจุนุฏูŠู† ุจุงุฑุชุจุงุทู‡ุง ุทุจุนุง ู…ุน ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุนู† ุทุฑูŠู‚
719
+
720
+ 224
721
+ 00:18:37,760 --> 00:18:43,040
722
+ ุงู„ู€SH3 ู‡ุชุนู…ู„ activation ู„ู„ู€ other proteins ุฃูŠุถุง
723
+
724
+ 225
725
+ 00:18:43,040 --> 00:18:48,320
726
+ ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ negative regulatory domain near
727
+
728
+ 226
729
+ 00:18:48,320 --> 00:18:52,700
730
+ the carboxy terminus ูˆุฒูŠ ู…ุง ู‡ูˆ ู…ูˆุถุญ ุจุงู„ู€ figure
731
+
732
+ 227
733
+ 00:18:52,700 --> 00:18:59,180
734
+ ู‡ู†ุงุŒ ุฃู† ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ ุงู„ู€SH3 domain
735
+
736
+ 228
737
+ 00:18:59,180 --> 00:19:03,440
738
+ ูˆูŽ ุนู„ู‰ ุงู„ู€ kinase domainุŒ ุทุจุนุงุŒ ุฑุญ ูŠุนู…ู„
739
+
740
+ 229
741
+ 00:19:03,440 --> 00:19:08,600
742
+ ููˆุณููˆุฑูŠู„ูŠุดู† ู„ู€ other proteins ุฃูŠุถุง ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰
743
+
744
+ 230
745
+ 00:19:08,600 --> 00:19:12,760
746
+ negative regulatory domain ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‚ุน near the
747
+
748
+ 231
749
+ 00:19:12,760 --> 00:19:16,880
750
+ carboxy terminusุŒ ูˆ ุงู„ุฐูŠ ูŠุนู…ู„ inhibition ู„ู„ู€
751
+
752
+ 232
753
+ 00:19:16,880 --> 00:19:21,580
754
+ kinase domainุŒ the activated kinaseุŒ ุงู„ู„ูŠ ู‡ูˆ SARC
755
+
756
+ 233
757
+ 00:19:21,580 --> 00:19:26,440
758
+ ู‡ูŠุนู…ู„ ููˆุณููˆุฑูŠู„ูŠุดู† for a wide range of target
759
+
760
+ 234
761
+ 00:19:26,440 --> 00:19:30,350
762
+ proteinsุŒ ู„ุฃู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ kinase
763
+
764
+ 235
765
+ 00:19:30,350 --> 00:19:32,370
766
+ domainุŒ ูˆ ุงู„ู€ kinase domain ู‡ุฐู‡ ู‡ุชุนู…ู„
767
+
768
+ 236
769
+ 00:19:32,370 --> 00:19:37,610
770
+ phosphorylation ู„ู€ other proteinsุŒ ูˆ ู…ู† ุงู„ู€ proteins
771
+
772
+ 237
773
+ 00:19:37,610 --> 00:19:42,470
774
+ ุงู„ุชูŠ ุญุตู„ ู„ู‡ุง phosphorylation ูˆ activationุŒ ู…ุฌู…ูˆุนุฉ
775
+
776
+ 238
777
+ 00:19:42,470 --> 00:19:46,910
778
+ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุชุณู…ู‰ focal adhesion proteinsุŒ ูˆ ู‡ุฐู‡
779
+
780
+ 239
781
+ 00:19:46,910 --> 00:19:51,410
782
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู†ุงุช ู…ู‡ู…ุฉ ู„ู„ู€ adhesionุŒ ูˆ
783
+
784
+ 240
785
+ 00:19:51,410 --> 00:19:56,790
786
+ ุฃูŠุถุง ู„ู„ู€ motility.
787
+
788
+ 241
789
+ 00:19:56,790 --> 00:20:03,310
790
+ (remove repeated "ุงู„ูˆุถุน")
791
+
792
+ 242
793
+ 00:20:03,310 --> 00:20:05,310
794
+ (remove repeated "ุงู„ูˆุถุน")
795
+
796
+ 243
797
+ 00:20:05,310 --> 00:20:06,810
798
+ (remove repeated "ุงู„ูˆุถุน")
799
+
800
+ 244
801
+ 00:20:06,810 --> 00:20:08,390
802
+ (remove repeated "ุงู„ูˆุถุน")
803
+
804
+ 245
805
+ 00:20:08,390 --> 00:20:08,630
806
+ (remove repeated "ุงู„ูˆุถุน")
807
+
808
+ 246
809
+ 00:20:08,630 --> 00:20:13,290
810
+ (remove repeated "ุงู„ูˆุถุน")
811
+
812
+ 247
813
+ 00:20:13,290 --> 00:20:14,050
814
+ (remove repeated "ุงู„ูˆุถุน")
815
+
816
+ 248
817
+ 00:20:16,570 --> 00:20:21,070
818
+ Expression ู„ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ูˆุตุงุฑ ููŠู‡ assembly
819
+
820
+ 249
821
+ 00:20:21,070 --> 00:20:26,770
822
+ ู„ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ุจู…ุนู†ู‰ ุฃู† ู‡ุฐุง ู‡ูŠุนู…ู„ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
823
+
824
+ 250
825
+ 00:20:26,770 --> 00:20:30,710
826
+ adherence ู„ู„ุฎู„ูŠุฉุŒ ู‡ุชุฑุชุจุท ุงู„ุฎู„ูŠุฉ ู…ุน ุงู„ู€ extra
827
+
828
+ 251
829
+ 00:20:30,710 --> 00:20:35,930
830
+ cellular matrix. ู„ูƒู† ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง disassembly
831
+
832
+ 252
833
+ 00:20:35,930 --> 00:20:38,970
834
+ ู„ู€ focal adhesion proteinsุŒ ู…ุนู†ุงู‡ ุฃู† ุงู„ุฎู„ูŠุฉ
835
+
836
+ 253
837
+ 00:20:38,970 --> 00:20:43,290
838
+ ู‡ุชุตูŠุฑ motileุŒ ูˆ ู…ู…ูƒู† ุชููƒ ุงุฑุชุจุงุทู‡ุง ู…ุน ุงู„ู€
839
+
840
+ 254
841
+ 00:20:43,290 --> 00:20:47,830
842
+ extracellular matrixุŒ ูˆ ุชุจุฏุฃ ุจุงู„ุญุฑูƒุฉ ุฃูŠุถุง. ุนู†ุฏู†ุง
843
+
844
+ 255
845
+ 00:20:47,830 --> 00:20:50,110
846
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ adapter
847
+
848
+ 256
849
+ 00:20:50,110 --> 00:20:56,490
850
+ proteinsุŒ ุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ
851
+
852
+ 257
853
+ 00:20:56,490 --> 00:21:02,510
854
+ ุงู„ู€ signal transductionุŒ ูˆุจุฑุถู‡ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุจุชู„ุนุจ
855
+
856
+ 258
857
+ 00:21:02,510 --> 00:21:08,770
858
+ ุฏูˆุฑ ููŠ ุงู„ู€ cell adhesionุŒ ูˆ forming adhesion
859
+
860
+ 259
861
+ 00:21:08,770 --> 00:21:13,090
862
+ junctions to bind cells within tissues together.
863
+
864
+ 260
865
+ 00:21:14,450 --> 00:21:18,710
866
+ ุฃูŠุถุงุŒ ุงู„ู€ Activated Sarc ูˆุงู„ู€ kinase domain ู‡ูŠุนู…ู„
867
+
868
+ 261
869
+ 00:21:18,710 --> 00:21:22,550
870
+ ุจุฑุถู‡ Phosphorylation ู„ู€ Transcription Factors.
871
+
872
+ 262
873
+ 00:21:22,550 --> 00:21:27,370
874
+ ุชู…ุงู…ุŸ ูƒู…ุง ู‚ู„ู†ุงุŒ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุงุช ูŠุนุชุจุฑ Target
875
+
876
+ 263
877
+ 00:21:27,370 --> 00:21:33,530
878
+ ู„ู„ู€ Activated Kinase ู„ู„ู€ Sarc Protein. ุงู„ุขู†ุŒ ุงู„ู€
879
+
880
+ 264
881
+ 00:21:33,530 --> 00:21:38,290
882
+ activation of Sarc leads to disassembly of focal
883
+
884
+ 265
885
+ 00:21:38,290 --> 00:21:42,750
886
+ adhesions. ูˆุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู‡ู†ุง ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
887
+
888
+ 266
889
+ 00:21:42,750 --> 00:21:45,450
890
+ disassembly ู„ู„ู€ focal adhesionsุŒ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุงูŠุด ููŠ
891
+
892
+ 267
893
+ 00:21:45,450 --> 00:21:49,950
894
+ ุนู†ุฏู†ุงุŸ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง motility ู„ู„ุฎู„ูŠุฉ. ูŠุจู‚ู‰ ุงู„ู€
895
+
896
+ 268
897
+ 00:21:49,950 --> 00:21:53,150
898
+ activation of SARC leads to disassembly of focal
899
+
900
+ 269
901
+ 00:21:53,150 --> 00:21:57,590
902
+ adhesions and thereby permits increased motility.
903
+
904
+ 270
905
+ 00:21:57,590 --> 00:22:03,090
906
+ SARC ุฃูŠุถุง regulates cell invasion by inhibiting E-
907
+
908
+ 271
909
+ 00:22:03,090 --> 00:22:08,010
910
+ cadherin. ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู€
911
+
912
+ 272
913
+ 00:22:08,010 --> 00:22:13,250
914
+ chapter ุงู„ุชุงุณุนุŒ ู„ู…ุง ู†ุญูƒูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ู€
915
+
916
+ 273
917
+ 00:22:13,250 --> 00:22:17,930
918
+ metastases. ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู„ูŠ
919
+
920
+ 274
921
+ 00:22:17,930 --> 00:22:23,570
922
+ ู‚ู„ู†ุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ ุงู„ู€ oncogenesุŒ ูˆ ู‡ู†ุดูˆู ุงู„ุขู† ูƒูŠู
923
+
924
+ 275
925
+ 00:22:23,570 --> 00:22:30,470
926
+ ู…ู…ูƒู† ุงู„ุชุบูŠุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ููŠ ุงู„ู€ signaling pathwayุŒ ูƒูŠู
927
+
928
+ 276
929
+ 00:22:30,470 --> 00:22:35,800
930
+ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ุง oncogenes. ูˆ ู‡ุฐู‡ ุงู„ู€ oncogenes ุชุฒูŠุฏ
931
+
932
+ 277
933
+ 00:22:35,800 --> 00:22:40,180
934
+ ููŠ ุงู„ู€ proliferation ู„ู„ุฎู„ุงูŠุงุŒ ูˆ ุชุคุฏูŠ ุฅู„ู‰ cancerุŒ ู„ุฃู†ู‡
935
+
936
+ 278
937
+ 00:22:40,180 --> 00:22:43,740
938
+ ุงุญู†ุง ู‚ู„ู†ุง ุฃู†ู‡ ุจุฏู†ุง ู†ูู‡ู… ุฃูˆู„ ุดูŠุก ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ
939
+
940
+ 279
941
+ 00:22:43,740 --> 00:22:49,620
942
+ ุงู„ุฎู„ูŠุฉ ุจุดูƒู„ ุทุจูŠุนูŠุŒ ุนุดุงู† ู†ู‚ุฏุฑ ู†ูู‡ู… ุจุนุฏ ู‡ูŠูƒ ุงู„ุชุบูŠุฑุงุช
943
+
944
+ 280
945
+ 00:22:49,620 --> 00:22:54,360
946
+ ุงู„ู„ูŠ ุจุชุตูŠุฑุŒ ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancer.
947
+
948
+ 281
949
+ 00:22:54,360 --> 00:23:00,190
950
+ Cancer arises from mutations in genes ุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน
951
+
952
+ 282
953
+ 00:23:00,190 --> 00:23:05,810
954
+ ุงู„ู†ู…ูˆุŒ ุฃูˆ ุงู„ู…ูˆุชุŒ ูˆ ุฃู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนู…ู„ูŠุงุช
955
+
956
+ 283
957
+ 00:23:05,810 --> 00:23:11,010
958
+ ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ููŠ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง. ุงู„ู€ mutated
959
+
960
+ 284
961
+ 00:23:11,010 --> 00:23:15,990
962
+ genes that contribute to carcinogenesis. ุฅู† ุงู„ู€
963
+
964
+ 285
965
+ 00:23:15,990 --> 00:23:21,020
966
+ oncogenes ูˆ ุงู„ู€ tumor suppressor genesุŒ ุจู‡ุฐู‡ ุงู„ู€
967
+
968
+ 286
969
+ 00:23:21,020 --> 00:23:26,720
970
+ genes ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ุนู…ู„ูŠุงุช ุงู„ุชูŠ ู‡ูŠ
971
+
972
+ 287
973
+ 00:23:26,720 --> 00:23:30,820
974
+ ุงู„ุชูŠ ู‡ูŠ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุงุŒ ูˆุทุจุนุง ุงู„ู€
975
+
976
+ 288
977
+ 00:23:30,820 --> 00:23:35,140
978
+ oncogenesุŒ ุฅุฐุง ุฒุงุฏ ุนู†ุฏู†ุง imitation ู„ู€ oncogenesุŒ
979
+
980
+ 289
981
+ 00:23:35,140 --> 00:23:41,910
982
+ ูู‡ุฐุง ูŠุฒูŠุฏ ู…ู† ุงู„ู€ cell proliferationุŒ ูˆุทุจุนุง ุฅุฐุง ูƒุงู†
983
+
984
+ 290
985
+ 00:23:41,910 --> 00:23:44,850
986
+ ุตุงุฑ ููŠู†ุง mutation ู„ู€ tumor suppressor genesุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ
987
+
988
+ 291
989
+ 00:23:44,850 --> 00:23:48,990
990
+ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุจุงู„ุชูุตูŠู„ ููŠ chapter ู„ุงุญู‚. ุงู„ู€ tumor suppressor
991
+
992
+ 292
993
+ 00:23:48,990 --> 00:23:52,150
994
+ genesุŒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู‡ุง mutation ูˆ ูู‚ุฏุช ุงู„ู€
995
+
996
+ 293
997
+ 00:23:52,150 --> 00:23:56,410
998
+ functionุŒ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฑุถู‡ ู‡ูŠุคุฏูŠ ุฅู„ู‰ cancerุŒ ู„ุฃู† ุงู„ู€
999
+
1000
+ 294
1001
+ 00:23:56,410 --> 00:24:00,170
1002
+ tumor suppressor genes ุจุชู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ู€ cancer.
1003
+
1004
+ 295
1005
+ 00:24:00,170 --> 00:24:04,970
1006
+ An oncogene is a mutated gene whose protein product
1007
+
1008
+ 296
1009
+ 00:24:04,970 --> 00:24:10,210
1010
+ is produced in higher quantities. ูŠุจู‚ู‰ a mutation
1011
+
1012
+ 297
1013
+ 00:24:10,210 --> 00:24:17,570
1014
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ุงู„ุฐูŠ ูŠุชู… ุฅู†ุชุงุฌู‡ุŒ
1015
+
1016
+ 298
1017
+ 00:24:17,570 --> 00:24:22,240
1018
+ ูˆ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ู€ cell
1019
+
1020
+ 299
1021
+ 00:24:22,240 --> 00:24:27,940
1022
+ growth ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุฃูˆ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู†
1023
+
1024
+ 300
1025
+ 00:24:27,940 --> 00:24:33,180
1026
+ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ู…ู†ุน ุงู„ู€ apoptosisุŒ ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„ู€
1027
+
1028
+ 301
1029
+ 00:24:33,180 --> 00:24:37,260
1030
+ proteins ุงู„ุชูŠ ู‡ูŠ ุชุนุชุจุฑ anti-apoptotic. ูŠุจู‚ู‰ ู„ู†ุง
1031
+
1032
+ 302
1033
+ 00:24:37,260 --> 00:24:44,300
1034
+ ุจูŠุตูŠุฑ ู…ู…ูƒู† ุฒูŠุงุฏุฉ ููŠ ุงู„ู€ quantityุŒ ุฃูˆ whose altered
1035
+
1036
+ 303
1037
+ 00:24:44,300 --> 00:24:49,490
1038
+ product has increased activity. ูŠุจู‚ู‰ ู…ู…ูƒู† ุชุฒูŠุฏ
1039
+
1040
+ 304
1041
+ 00:24:49,490 --> 00:24:56,130
1042
+ ุงู„ูƒู…ูŠุฉุŒ ุฃูˆ ู…ู…ูƒู† ุชุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ู€ activity. ุชู…ุงู…ุŸ ุฒูŠ ู…ุง
1043
+
1044
+ 305
1045
+ 00:24:56,130 --> 00:25:01,590
1046
+ ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉุŒ ุฃู†ู‡ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
1047
+
1048
+ 306
1049
+ 00:25:01,590 --> 00:25:07,190
1050
+ ู„ู€ epidermal growth factor receptorุŒ ูˆ ุงู„ู€ mutation
1051
+
1052
+ 307
1053
+ 00:25:07,190 --> 00:25:12,150
1054
+ ู‡ุฐู‡ ุจุชุฎู„ูŠ ุงู„ู€ receptor ุฏุงุฆู…ุง ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ turn on
1055
+
1056
+ 308
1057
+ 00:25:12,150 --> 00:25:17,270
1058
+ signal ููŠ ุงู„ู€ receptor. ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ู€ mutation ุชุคุฏูŠ
1059
+
1060
+ 309
1061
+ 00:25:18,510 --> 00:25:22,910
1062
+ ุฅู„ู‰ always on signalุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠ ุญุงู„ุฉ ุงู„ู€
1063
+
1064
+ 310
1065
+ 00:25:22,910 --> 00:25:25,770
1066
+ receptor. ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ a mutation ูˆ ุตุงุฑ ููŠู‡
1067
+
1068
+ 311
1069
+ 00:25:25,770 --> 00:25:32,890
1070
+ phosphorylationุŒ ูˆ ุตุงุฑุช ุนู†ุฏูŠ ุงู„ุฅุดุงุฑุฉ ุฏุงุฆู…ุง on.
1071
+
1072
+ 312
1073
+ 00:25:32,890 --> 00:25:36,890
1074
+ Non-oncogenes are altered forms of normal genes.
1075
+
1076
+ 313
1077
+ 00:25:36,890 --> 00:25:43,710
1078
+ ูŠุจู‚ู‰ ุงู„ู€ oncogenes ู‡ู… ุฃุตู„ุง normal genesุŒ ุฒูŠ ู…ุง ู‡ู†ุดูˆู
1079
+
1080
+ 314
1081
+ 00:25:43,710 --> 00:25:48,610
1082
+ ุงู„ุขู† ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉ. ู„ูƒู† ู‡ุฐู‡ ุงู„ู€ normal gene ุตุงุฑ ููŠู‡ุง
1083
+
1084
+ 315
1085
+ 00:25:48,610 --> 00:25:56,330
1086
+ mutation ูˆ ุงุชุญูˆู„ุช ุฅู„ู‰ oncogene. ูˆ ุงู„ู€ normal gene
1087
+
1088
+ 316
1089
+ 00:25:56,330 --> 00:26:03,150
1090
+ ุจู†ุณู…ูŠู‡ proto-oncogene. ูŠุจู‚ู‰ ุงู„ู€ proto-oncogeneุŒ ุฅุฐุง
1091
+
1092
+ 317
1093
+ 00:26:03,150 --> 00:26:08,910
1094
+ ูƒุงู† ุตุงุฑ ููŠู‡ mutationุŒ ู‡ูŠุชุญูˆู„ ุฅู„ู‰ oncogene.
1095
+
1096
+ 318
1097
+ 00:26:10,770 --> 00:26:15,850
1098
+ (remove repeated "ุฃูƒุซุฑ ู…ู†")
1099
+
1100
+ 320
1101
+ 00:26:15,050 --> 00:26:24,070
1102
+ (remove repeated "ุฃูƒุชุฑ ู…ู†")
1103
+
1104
+ 322
1105
+ 00:26:15,850 --> 00:26:27,950
1106
+ (remove repeated "ุฃูƒุชุฑ ู…ู†")
1107
+
1108
+ 324
1109
+ 00:26:24,110 --> 00:26:35,590
1110
+ (remove repeated "ุฃูƒุชุฑ ู…ู†")
1111
+
1112
+ 326
1113
+ 00:26:35,590 --> 00:26:42,310
1114
+ ุชู…ุงู…. ูˆ ุงู„ู€ gene ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ normal geneุŒ ุฃูˆ proto-
1115
+
1116
+ 327
1117
+ 00:26:42,310 --> 00:26:47,550
1118
+ oncogeneุŒ ุจู†ุญุท ุงู„ู„ูŠ ู‡ูˆ ุญุฑู ุงู„ู€ CุŒ ูŠุจู‚ู‰ C-SARCุŒ
1119
+
1120
+ 328
1121
+ 00:26:47,550 --> 00:26:52,490
1122
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ normal cellular geneุŒ ุงู„ู„ูŠ ู‡ูˆ
1123
+
1124
+ 329
1125
+ 00:26:52,490 --> 00:26:59,150
1126
+ proto-oncogene. ุงู„ุขู†ุŒ ู‡ุฐุง ุงู„ู€ geneุŒ ู„ูˆ ุตุงุฑ ููŠู‡ mutationุŒ
1127
+
1128
+ 330
1129
+ 00:26:59,150 --> 00:27:05,580
1130
+ ูˆ ุงุชุญูˆู„ ุฅู„ู‰ oncogeneุŒ ูŠุจู‚ู‰ ู…ู…ูƒู† ู†ุถูŠู ู‚ุจู„ู‡ ุง๏ฟฝ๏ฟฝู„ูŠ ู‡ูˆ ุญุฑู ุงู„ู€ VุŒ
1131
+
1132
+ 331
1133
+ 00:27:05,580 --> 00:27:11,500
1134
+ ุงู„ู€ Altered Form Transduced by RetrovirusesุŒ ุงู„ู„ูŠ
1135
+
1136
+ 332
1137
+ 00:27:11,500 --> 00:27:16,440
1138
+ ุจูŠุจู‚ู‰ V-SARC. ุงู„ู€ V-SARC sequence lacks... ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
1139
+
1140
+ 333
1141
+ 00:27:16,440 --> 00:27:22,260
1142
+ ูƒู…ุซุงู„ุŒ ูƒูŠู ุงู„ู€ proto-oncogene ูƒูŠู ู…ู…ูƒู† ูŠุชุญูˆู„ ุฅู„ู‰
1143
+
1144
+ 334
1145
+ 00:27:22,260 --> 00:27:28,320
1146
+ oncogene. ุงู„ู€ V-SARC sequence lacks the carboxy
1147
+
1148
+ 335
1149
+ 00:27:28,320 --> 00:27:32,400
1150
+ terminal negative regulatory domain. ุฃู‡ุŒ ู‚ุจู„ ุดูˆูŠุฉ ู„ู…ุง
1151
+
1152
+ 336
1153
+ 00:27:32,400 --> 00:27:36,160
1154
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ SarcุŒ ู‚ู„ู†ุง ุนู„ู‰ ุงู„ู€ carboxy terminal ููŠู‡
1155
+
1156
+ 337
1157
+ 00:27:36,160 --> 00:27:41,540
1158
+ ุนู†ุฏู†ุง negative regulatory domain. ุงู„ุขู†ุŒ ุงู„ู€ proto-
1159
+
1160
+ 338
1161
+ 00:27:41,540 --> 00:27:44,460
1162
+ oncogene ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ SarcุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ normal
1163
+
1164
+ 339
1165
+ 00:27:44,460 --> 00:27:49,560
1166
+ cellular geneุŒ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutationุŒ ูˆ ุงู„ู€
1167
+
1168
+ 340
1169
+ 00:27:49,560 --> 00:27:55,640
1170
+ mutation ู‡ุฐู‡ ุนู…ู„ุช ู„ูŠ deletion ู„ู„ู€ negative regulatory
1171
+
1172
+ 341
1173
+ 00:27:55,640 --> 00:28:01,790
1174
+ domainุŒ ูŠุนู†ูŠ ุงูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุงู„ู€ SARC ู‡ุฐุง
1175
+
1176
+ 342
1177
+ 00:28:01,790 --> 00:28:08,710
1178
+ ู‡ูŠูƒูˆู† always onุŒ ู„ุฃู† ุงู„ู€ domain ุงู„ู„ูŠ ุจูŠุนู…ู„
1179
+
1180
+ 343
1181
+ 00:28:08,710 --> 00:28:14,090
1182
+ inhibition ู…ุด ู…ูˆุฌูˆุฏ. ุทุจุนุงุŒ ุฒูŠ ู…ุง ูˆุงุถุญ ุจุงู„ู€ figure ู‡ู†ุงุŒ
1183
+
1184
+ 344
1185
+ 00:28:14,090 --> 00:28:19,710
1186
+ ูˆ ุจุงู„ุชุงู„ูŠ ู‡ูŠุชุญูˆู„ ุฅู„ู‰ oncogene. ุจุฌู‡ุฉ ู‡ุฐุง ุงู„ู€ SARC ุฒูŠ
1187
+
1188
+ 345
1189
+ 00:28:19,710 --> 00:28:24,090
1190
+ ู…ุง ู‚ู„ู†ุงุŒ ุจูŠุญุชูˆูŠ ุนู„ู‰ SH2 ูˆ SH3ุŒ ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€ kinase
1191
+
1192
+ 346
1193
+ 00:28:24,090 --> 00:28:29,900
1194
+ domainุŒ ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€ domain ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ negative
1195
+
1196
+ 347
1197
+ 00:28:29,900 --> 00:28:35,880
1198
+ regulatory domain. ูŠุจู‚ู‰ ู‡ู†ุง ุนู†ุฏู†ุง active domainุŒ ูˆ
1199
+
1200
+ 348
1201
+ 00:28:35,880 --> 00:28:38,540
1202
+ ุงู„ู€ kinase domain ู‡ู†ุง ู…ู…ูƒู† ูŠุนู…ู„ phosphorylation ู„ู€
1203
+
1204
+ 349
1205
+ 00:28:38,540 --> 00:28:43,160
1206
+ other proteins. ู„ูƒู† ู„ูˆ ุงุฑุชุจุท ุนู†ุฏู†ุง ุงู„ู€ negative
1207
+
1208
+ 350
1209
+ 00:28:43,160 --> 00:28:47,080
1210
+ regulatory domain ู…ุน ุงู„ู€ SH2ุŒ ู‡ุฐุง ู‡ูŠุชุญูˆู„ ุฅู„ู‰
1211
+
1212
+ 351
1213
+ 00:28:47,080 --> 00:28:53,420
1214
+ inactive Sarc. ูŠุจู‚ู‰ ู‡ุฐุง ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ proto-oncogeneุŒ
1215
+
1216
+ 352
1217
+ 00:28:54,090 --> 00:28:58,670
1218
+ ุฃูˆ ุงู„ู€ normal cellular gene. ุงู„ุขู†ุŒ ู…ู…ูƒู† ู‡ุฐุง ูŠุชุญูˆู„
1219
+
1220
+ 353
1221
+ 00:28:58,670 --> 00:29:03,910
1222
+ ุฅู„ู‰ oncogeneุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุง. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ normal ุจู†ู‚ูˆู„
1223
+
1224
+ 354
1225
+ 00:29:03,910 --> 00:29:09,990
1226
+ ุนู„ูŠู‡ C-SARCุŒ ูˆ ุงู„ู€ oncogene ุจู†ุณู…ูŠู‡ V-SARC. ุจู‡ุฐุง
1227
+
1228
+ 355
1229
+ 00:29:09,990 --> 00:29:15,210
1230
+ ุงู„ุญุงู„ุฉุŒ ุฃู†ู‡ ุตุงุฑ deletion ู„ู„ู€ negative regulatory
1231
+
1232
+ 356
1233
+ 00:29:15,210 --> 00:29:19,270
1234
+ domain. ู„ุฐู„ูƒ ุงู„ู€ negative regulatory domain ู‡ุฐู‡
1235
+
1236
+ 357
1237
+ 00:29:19,270 --> 00:29:24,350
1238
+ ุตุงุฑ ู„ู‡ุง deletionุŒ ุจุทู„ุช ู…ูˆุฌูˆุฏุฉ. ุชู…ุงู…ุŸ ูˆุจุงู„ุชุงู„ูŠุŒ ูŠุจู‚ู‰ ู…ุด
1239
+
1240
+ 358
1241
+ 00:29:24,350 --> 00:29:28,990
1242
+ ู‡ูŠุตูŠุฑ ููŠู‡ negative regulation ู„ู„ู€ SARCุŒ
1243
+
1244
+ 359
1245
+ 00:29:28,990 --> 00:29:33,570
1246
+ ูˆู‡ูŠุณุชู…ุฑ ุงู„ู€ SARC ููŠ ุงู„ู€ activationุŒ ูˆ ุงู„ู€
1247
+
1248
+ 360
1249
+ 00:29:33,570 --> 00:29:37,510
1250
+ phosphorylation ู„ู€ other proteinsุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู†
1251
+
1252
+ 361
1253
+ 00:29:37,510 --> 00:29:43,410
1254
+ ููŠ ุนู†ุฏูŠ always on signal. ูˆ ู‡ู†ุงุŒ ุงู„ู€ figure ุจูŠูˆุถุญ
1255
+
1256
+ 362
1257
+ 00:29:43,410 --> 00:29:48,850
1258
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ุชูŠ ู…ู…ูƒู† ุชุตูŠุฑ mutations ููŠ
1259
+
1260
+ 363
1261
+ 00:29:48,850 --> 00:29:55,040
1262
+ genes ู…ุฎุชู„ูุฉุŒ ูˆ ุงู„ู†ุงุชุฌุŒ ุฃูˆ ุงู„ู†ุงุชุฌุŒ ู‡ูŠูƒูˆู† ุงู„ู€ proteins
1263
+
1264
+ 364
1265
+ 00:29:55,040 --> 00:29:59,640
1266
+ ุงู„ู…ุฎุชู„ูุฉ ุงู„ุชูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ ุชูƒูˆูŠู† onco-
1267
+
1268
+ 365
1269
+ 00:29:59,640 --> 00:30:04,080
1270
+ genesุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer. ูŠุนู†ูŠุŒ ู‡ู†ุง
1271
+
1272
+ 366
1273
+ 00:30:04,080 --> 00:30:07,340
1274
+ ู‡ู†ุงุŒ ููŠ ุงู„ุจุฏุงูŠุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ growth factor gene
1275
+
1276
+ 367
1277
+ 00:30:07,340 --> 00:30:12,800
1278
+ amplification. ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ู€ growth factor gene ู‡ุฐุง
1279
+
1280
+ 368
1281
+ 00:30:12,800 --> 00:30:15,600
1282
+ ูŠุตู„ ู„ู‡ amplificationุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง ุฅู†ุชุงุฌ
1283
+
1284
+ 369
1285
+ 00:30:15,600 --> 00:30:21,720
1286
+ ู„ูƒู…ูŠุงุช ุฃูƒุจุฑ ู…ู† ุงู„ู€ growth factors. ู…ู…ูƒู† ุฃูŠุถุง ูŠุตูŠุฑ ููŠู‡
1287
+
1288
+ 370
1289
+ 00:30:21,720 --> 00:30:26,200
1290
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ amplification ู„ู„ู€ receptor geneุŒ
1291
+
1292
+ 371
1293
+ 00:30:26,200 --> 00:30:32,410
1294
+ ุชู…ุงู…ุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ู€ receptors. ูˆ ุฅุฐุง
1295
+
1296
+ 372
1297
+ 00:30:32,410 --> 00:30:36,150
1298
+ ูƒุงู† ุฒุงุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ู€ receptorsุŒ ูŠุจู‚ู‰ ุญุชู‰ ู…ุน ูˆุฌูˆุฏ
1299
+
1300
+ 373
1301
+ 00:30:36,150 --> 00:30:40,610
1302
+ ู…ู…ูƒู† ุนุฏุฏ ู‚ู„ูŠู„ ู…ู† ุงู„ู€ growth factorsุŒ ุฅู„ุง ุฃู†ู‡ ู‡ุฐุง
1303
+
1304
+ 374
1305
+ 00:30:40,610 --> 00:30:45,490
1306
+ ุงู„ุนุฏุฏ ุงู„ู‚ู„ูŠู„ ู…ู…ูƒู† ูŠุนู…ู„ูŠ signaling. ูŠุจู‚ู‰ receptor
1307
+
1308
+ 375
1309
+ 00:30:45,490 --> 00:30:48,510
1310
+ gene amplificationุŒ ุฃูˆ ู…ู…ูƒู† ุฃูŠุถุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1311
+
1312
+ 376
1313
+ 00:30:48,510 --> 00:30:53,470
1314
+ mutation ููŠ ุงู„ู€ receptors. ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉุŒ
1315
+
1316
+ 377
1317
+ 00:30:53,470 --> 00:30:57,490
1318
+ ู…ู…ูƒู† ูŠุตูŠุฑ mutation ููŠ ุงู„ู€ receptorุŒ ูˆ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ
1319
+
1320
+ 378
1321
+ 00:30:57,490 --> 00:31:03,270
1322
+ always on receptor. ุฃูŠุถุงุŒ signalling molecule locked
1323
+
1324
+ 379
1325
+ 00:31:03,270 --> 00:31:08,970
1326
+ in active configuration. ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ู…ูƒู† ุฒูŠ ู…ุง ุญูƒูŠู†ุงุŒ
1327
+
1328
+ 380
1329
+ 00:31:08,970 --> 00:31:11,750
1330
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุจุนุฏ ู‡ูŠูƒ ุฃูƒุซุฑ ู…ู† ุจุฑูˆุชูŠู† ุจูŠู„ุนุจ ุฏูˆุฑุŒ
1331
+
1332
+ 381
1333
+ 00:31:11,750 --> 00:31:15,470
1334
+ ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ู€ rasุŒ ูˆ ููŠ ุนู†ุฏู†ุง ุงู„ู€ rafุŒ ูˆ ููŠ ุนู†ุฏู†ุง ุงู„ู€
1335
+
1336
+ 382
1337
+ 00:31:15,470 --> 00:31:20,230
1338
+ map kinase cascade. ูŠุจู‚ู‰ ู‡ู†ุง ู…ู…ูƒู† ูˆุงุญุฏ ู…ู†
1339
+
1340
+ 383
1341
+ 00:31:20,230 --> 00:31:25,510
1342
+ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ุชู…ุงู…ุŒ ูŠุตูŠุฑ ููŠู‡ mutationุŒ ูˆ ูŠุตูŠุฑ always
1343
+
1344
+ 384
1345
+ 00:31:25,510 --> 00:31:31,030
1346
+ on. ูˆ ู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ู€ rasุŒ ูˆ ุนู†ุฏู†ุง ุงู„ู€ rafุŒ ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู†
1347
+
1348
+ 385
1349
+ 00:31:31,030 --> 00:31:38,430
1350
+ ู‡ู†ุง ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ deletion ุฃูˆ ุงู„ู€ methylation ู„ู„ู€
1351
+
1352
+ 386
1353
+ 00:31:38,430 --> 00:31:42,810
1354
+ tumor suppressor genes. Deletion or methylation
1355
+
1356
+ 387
1357
+ 00:31:42,810 --> 00:31:45,430
1358
+ induces silencing of genes encoding negative
1359
+
1360
+ 388
1361
+ 00:31:45,430 --> 00:31:49,110
1362
+ regulators. ุชู…ุงู…ุŸ ูŠู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ tumor suppressor
1363
+
1364
+ 389
1365
+ 00:31:49,110 --> 00:31:55,020
1366
+ genes ู‡ุฐู‡ ูŠุตูŠุฑ ููŠู‡ุง ู…ุดูƒู„ุฉ. ู…ู…ูƒู† ุฃูŠุถุง ูŠุตูŠุฑ ุนู†ุฏู†ุง
1367
+
1368
+ 390
1369
+ 00:31:55,020 --> 00:31:59,080
1370
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ transcription factor ู†ูุณู‡. ุฅุฐุง ุงู„ู€
1371
+
1372
+ 391
1373
+ 00:31:59,080 --> 00:32:03,040
1374
+ transcription factor gene amplificationุŒ ุฃูˆ ุงู„ู€
1375
+
1376
+ 392
1377
+ 00:32:03,040 --> 00:32:07,580
1378
+ translocationุŒ ุฃุบู„ุจู‡ุง ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ู€ expression
1379
+
1380
+ 393
1381
+ 00:32:07,580 --> 00:32:11,880
1382
+ ู„ู€ transcription factorsุŒ ุฃูˆ ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ู€
1383
+
1384
+ 394
1385
+ 00:32:11,880 --> 00:32:14,360
1386
+ translocation ู„ู€ transcription factorุŒ ุงู„ู„ูŠ ู‡ูˆ
1387
+
1388
+ 395
1389
+ 00:32:14,360 --> 00:32:18,220
1390
+ ุงู†ุชู‚ุงู„ ู„ู€ transcription factor ู…ู† ุงู„ู€ cytoplasm
1391
+
1392
+ 396
1393
+ 00:32:18,220 --> 00:32:21,980
1394
+ ุฅู„ู‰ nucleus. ุทุจุนุง ู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ target
1395
+
1396
+ 397
1397
+ 00:32:21,980 --> 00:32:25,580
1398
+ gene activation. For exampleุŒ cell cycle regulatory
1399
+
1400
+ 398
1401
+ 00:32:25,580 --> 00:32:29,540
1402
+ genesุŒ ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ู€
1403
+
1404
+ 399
1405
+ 00:32:29,540 --> 00:32:34,800
1406
+ cell cycle ูˆ ุงู„ู€ proliferation ู„ู„ุฎู„ูŠุฉ. ุทูŠุจุŒ ู‡ู†ุจุฏุฃ
1407
+
1408
+ 400
1409
+ 00:32:34,800 --> 00:32:40,660
1410
+ ุงู„ุขู† ุจุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ุชูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ุฎุทูˆุงุช
1411
+
1412
+ 401
1413
+ 00:32:40,660 --> 00:32:46,260
1414
+ ุงู„ู…ุฎุชู„ูุฉุŒ ูˆ ู‡ู†ุจุฏุฃ ุจู€ growth factors. Protein product
1415
+
1416
+ 402
1417
+ 00:32:46,260 --> 00:32:52,100
1418
+ of viral oncogene V-SIS ู‡ูˆ cytoplasmicุŒ ูˆ ูƒุงู† ูˆุฌุฏ ุฃู†
1419
+
1420
+ 403
1421
+ 00:32:52,100 --> 00:32:59,020
1422
+ ูŠูƒูˆู† truncated. (The rest of this sentence appears to be unrelated and possibly corrupted; remove).
1423
+
1424
+ 404
1425
+ 00:32:59,020 --> 00:33:04,960
1426
+ (remove this line as it's corrupted)
1427
+
1428
+ 405
1429
+ 00:33:04,960 --> 00:33:14,580
1430
+ (remove this line as it's corrupted)
1431
+
1432
+ 406
1433
+ 00:33:16,820 --> 00:33:22,580
1434
+ ูŠุจู‚ู‰ C-SIS ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ normal cellular geneุŒ ูˆ ุฒูŠ
1435
+
1436
+ 407
1437
+ 00:33:22,580 --> 00:33
1438
+
1439
+ 445
1440
+ 00:36:47,280 --> 00:36:52,440
1441
+ ุงู„ู…ูุฑูˆุถ ุงู…ุชู‰ ูŠุตูŠุฑ activation ููŠ ุฃูˆู‚ุงุช ุบูŠุฑ ู…ู†ุงุณุจุฉ
1442
+
1443
+ 446
1444
+ 00:36:52,440 --> 00:36:57,960
1445
+ ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุญุงู„ ูˆุฌูˆุฏ wound ุนุดุงู† ูŠุตูŠุฑ ููŠู‡ ุฅุตู„ุงุญ
1446
+
1447
+ 447
1448
+ 00:36:57,960 --> 00:37:03,870
1449
+ repair ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู‡ูŠุตูŠุฑ ุจุฑุถู‡ ููŠู‡
1450
+
1451
+ 448
1452
+ 00:37:03,870 --> 00:37:08,130
1453
+ ุนู†ุฏู†ุง activation ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุงู„ูˆู‚ุช ุบูŠุฑ
1454
+
1455
+ 449
1456
+ 00:37:08,130 --> 00:37:11,510
1457
+ ุทุจูŠุนูŠุŒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุงู† ุบูŠุฑ
1458
+
1459
+ 450
1460
+ 00:37:11,510 --> 00:37:18,150
1461
+ ุทุจูŠุนูŠุŒ ูˆู‡ูŠุตู„ู‡ activation ููŠ ุงู„ูˆู‚ุช ุบูŠุฑ ุงู„ุทุจูŠุนูŠุŒ ูˆ
1462
+
1463
+ 451
1464
+ 00:37:18,150 --> 00:37:24,670
1465
+ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ a unregulated growth
1466
+
1467
+ 452
1468
+ 00:37:24,950 --> 00:37:28,050
1469
+ ุงู„ู…ุดูƒู„ุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑุŒ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ู€
1470
+
1471
+ 453
1472
+ 00:37:28,050 --> 00:37:32,090
1473
+ Growth Factor ReceptorsุŒ ู…ู…ูƒู† ุงู„ู…ุดูƒู„ุฉ ุชุตูŠุฑ ููŠ ุงู„ู€
1474
+
1475
+ 454
1476
+ 00:37:32,090 --> 00:37:40,390
1477
+ Growth Factor ReceptorsุŒ ูˆููŠ ุนู†ุฏู†ุง ู…ุซู„ู‹ุง ุงู„ู€ Oncogene VERBB
1478
+
1479
+ 455
1480
+ 00:37:40,390 --> 00:37:49,500
1481
+ ูˆุงุฎุชุตุงุฑู‹ุง ุงู„ู€ Avian Sarcoma Leukosis Virus ูƒุงู†
1482
+
1483
+ 456
1484
+ 00:37:49,500 --> 00:37:53,780
1485
+ ุงูƒุชุดุงูู‹ุง ู…ู† ุงู„ููŠุฑูˆุณ ุงู„ู„ูˆูƒูŠู…ูŠุฉ ุงู„ู€ Avian
1486
+
1487
+ 457
1488
+ 00:37:53,780 --> 00:37:58,220
1489
+ Erythroblastosis ุทูŠุจ
1490
+
1491
+ 458
1492
+ 00:37:58,220 --> 00:38:04,840
1493
+ ุงู„ุงู†ู‡ูŠุงุฑ ุจุฑุถู‡ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุทุจุนู‹ุง ุงู„ู€ oncogenic
1494
+
1495
+ 459
1496
+ 00:38:04,840 --> 00:38:09,000
1497
+ ุฌูŠู† ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑุถู‡ ุงู„ู€ truncated form of the
1498
+
1499
+ 460
1500
+ 00:38:09,000 --> 00:38:12,380
1501
+ epidermal growth factor receptor ุจุญูŠุซ ููŠ ุนู†ุฏู†ุง
1502
+
1503
+ 461
1504
+ 00:38:12,380 --> 00:38:17,050
1505
+ mutation ููŠ ุงู„ู€ receptor geneุŒ ูˆุงู„ู„ูŠ
1506
+
1507
+ 462
1508
+ 00:38:17,050 --> 00:38:22,510
1509
+ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู† ุจุฑุถู‡ truncated ู†ุงู‚ุต ู…ู‚ุทูˆุนุŒ ุทูŠุจุŒ
1510
+
1511
+ 463
1512
+ 00:38:22,510 --> 00:38:27,330
1513
+ ุงู„ุขู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ุงู„ู€ Extracellular domain is
1514
+
1515
+ 464
1516
+ 00:38:27,330 --> 00:38:33,350
1517
+ deletedุŒ ูŠุจู‚ู‰ ูุด ุฃู†ู‡ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ Extracellular
1518
+
1519
+ 465
1520
+ 00:38:33,350 --> 00:38:36,530
1521
+ domainุŒ ููƒูŠู ู„ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ Epidermal Growth
1522
+
1523
+ 466
1524
+ 00:38:36,530 --> 00:38:40,050
1525
+ Factor Receptor ูˆู‚ูˆู„ู†ุง ููŠ ุนู†ุฏู†ุง ุงู„ู€ Extracellular
1526
+
1527
+ 467
1528
+ 00:38:40,050 --> 00:38:43,130
1529
+ domainุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€ TransmembraneุŒ ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€
1530
+
1531
+ 468
1532
+ 00:38:43,130 --> 00:38:49,130
1533
+ Cytoplasmic domainุŒ ุงู„ุขู† ููŠ ุญุงู„ ุงู„ู€ Mutated Gene
1534
+
1535
+ 469
1536
+ 00:38:49,130 --> 00:38:53,250
1537
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ VERBBุŒ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง Truncated Protein
1538
+
1539
+ 470
1540
+ 00:38:53,250 --> 00:38:57,670
1541
+ ูˆุงู„ู€ Truncated Protein ู‡ุฐุง ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุงู„ู€
1542
+
1543
+ 471
1544
+ 00:38:57,670 --> 00:39:02,730
1545
+ Extracellular DomainุŒ ู‡ูŠ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ receptor
1546
+
1547
+ 472
1548
+ 00:39:02,730 --> 00:39:05,850
1549
+ ุงู„ุทุจูŠุนูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ ู…ูˆุฌูˆุฏ ุงู„ู€
1550
+
1551
+ 473
1552
+ 00:39:05,850 --> 00:39:09,310
1553
+ extracellular domainุŒ ู„ูƒู† ููŠ ุงู„ู€ truncated form ู‡ุงู†
1554
+
1555
+ 474
1556
+ 00:39:09,310 --> 00:39:13,370
1557
+ ู…ุด ู…ูˆุฌูˆุฏ ุฃู†ู‡ ุงู„ู€ extracellular domainุŒ ุนู†ุฏู†ุง ุฃูŠุถุง
1558
+
1559
+ 475
1560
+ 00:39:13,370 --> 00:39:19,650
1561
+ ููŠู‡ ุจุฑุถู‡ deletion ู„ุฌุฒุก ู…ู† ุงู„ู€ receptor at the C
1562
+
1563
+ 476
1564
+ 00:39:19,650 --> 00:39:27,110
1565
+ terminal endุŒ ูˆู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ุจูŠุคุฏูŠ ุฅู„ู‰ activation of
1566
+
1567
+ 477
1568
+ 00:39:27,110 --> 00:39:34,120
1569
+ the receptor without ligand bindingุŒ ุชู…ุงู…ุŒ ุจูŠุฌูŠ ุงู„ู€
1570
+
1571
+ 478
1572
+ 00:39:34,120 --> 00:39:37,200
1573
+ product ุงู„ู†ู‡ุงุฆูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ู…ุงููŠุด ุงู„ู„ูŠ ู‡ูˆ
1574
+
1575
+ 479
1576
+ 00:39:37,200 --> 00:39:41,280
1577
+ ligand bindingุŒ ูˆููŠู‡ุง a truncation at ุงู„ู€
1578
+
1579
+ 480
1580
+ 00:39:41,280 --> 00:39:48,700
1581
+ carboxyl terminusุŒ ูˆู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนู‹ุง ุฅู„ู‰ always on
1582
+
1583
+ 481
1584
+ 00:39:48,700 --> 00:39:55,660
1585
+ active receptorุŒ ูˆุทุจุนู‹ุง activation ู„ู€ other proteins
1586
+
1587
+ 482
1588
+ 00:39:55,660 --> 00:40:03,550
1589
+ ุงู„ู„ูŠ ู‡ูˆ always on signalุŒ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ู€
1590
+
1591
+ 483
1592
+ 00:40:03,550 --> 00:40:09,510
1593
+ receptor ุงู„ู„ูŠ ู‚ุฏู‘ุช ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ู‰ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ extra
1594
+
1595
+ 484
1596
+ 00:40:09,510 --> 00:40:13,010
1597
+ cellular domain ุฃูˆ ุนุฏู… ูˆุฌูˆุฏ extra cellular domain
1598
+
1599
+ 485
1600
+ 00:40:13,010 --> 00:40:16,070
1601
+ ูˆุจุงู„ุชุงู„ูŠ
1602
+
1603
+ 486
1604
+ 00:40:16,070 --> 00:40:22,210
1605
+ ุงู„ู„ูŠ ู‡ูˆ no ligand bindingุŒ ุจุฑุถู‡ ูŠุนู†ูŠุŒ ูˆูˆุฌุฏุช ููŠ ุงู„ุนุฏูŠุฏ
1606
+
1607
+ 487
1608
+ 00:40:22,210 --> 00:40:27,520
1609
+ ู…ู† human cancersุŒ ูˆูŠูุนุชู‚ุฏ ุฃู†ู‡ ููŠ point mutations
1610
+
1611
+ 488
1612
+ 00:40:27,520 --> 00:40:30,620
1613
+ accomplish the same effect of interfering with the
1614
+
1615
+ 489
1616
+ 00:40:30,620 --> 00:40:35,460
1617
+ growth factor bindingุŒ ูˆุฅูŠู‡ ุงู„ู„ูŠ ู‚ุฏู‘ุช ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰
1618
+
1619
+ 490
1620
+ 00:40:35,460 --> 00:40:42,120
1621
+ always on signalุŒ ุดุบู„ุฉ ุซุงู†ูŠุฉ ูˆู…ุดูƒู„ุฉ ุฃุฎุฑู‰ ุงู„ู„ูŠ ู…ุชุนู„ู‚ุฉ
1622
+
1623
+ 491
1624
+ 00:40:42,120 --> 00:40:48,810
1625
+ ุจุงู„ู€ receptor ู‡ูˆ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ู€ Receptors ุนู„ู‰ ุงู„ุฎู„ูŠุฉ
1626
+
1627
+ 492
1628
+ 00:40:48,810 --> 00:40:54,930
1629
+ increasing the amount of normal ERBB productุŒ ูˆู‡ุฐุง
1630
+
1631
+ 493
1632
+ 00:40:54,930 --> 00:41:01,050
1633
+ ุจูŠูƒูˆู† ุจุณุจุจ ุญุฏูˆุซ gene amplificationุŒ ูˆู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ
1634
+
1635
+ 494
1636
+ 00:41:01,050 --> 00:41:07,530
1637
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ gene amplificationุŒ ู…ู…ูƒู† ุชุญุตู„ ุจุณุจุจ ุฎุทุฃ ุฃุซู†ุงุก
1638
+
1639
+ 495
1640
+ 00:41:07,530 --> 00:41:13,370
1641
+ ุงู„ู€ DNA replicationุŒ ุทุจุนู‹ุง ู‚ุฏ ุงู„ู€ DNA replication ูุฑู‚
1642
+
1643
+ 496
1644
+ 00:41:14,380 --> 00:41:16,760
1645
+ ูŠุจู‚ู‰ ุงู„ุฎุทุฃ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ู€ Gene
1646
+
1647
+ 497
1648
+ 00:41:16,760 --> 00:41:21,380
1649
+ AmplificationุŒ ูˆุงู„ู€ Gene Amplification ู‡ุฐุง ู…ู…ูƒู†
1650
+
1651
+ 498
1652
+ 00:41:21,380 --> 00:41:27,420
1653
+ ุทุจุนู‹ุง ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ ุงู„ู€ Receptors ุงู„ู…ูˆุฌูˆุฏ
1654
+
1655
+ 499
1656
+ 00:41:27,420 --> 00:41:35,360
1657
+ ุนู„ู‰ ุงู„ุฎู„ูŠุฉุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ูƒู…ุซุงู„ ููŠ ุฃู† ุทุจุนู‹ุง ุงู„ู€ HER2
1658
+
1659
+ 500
1660
+ 00:41:35,360 --> 00:41:40,060
1661
+ ุชู…ุงู…ุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ HER2 ReceptorุŒ ุงู„ู„ูŠ
1662
+
1663
+ 501
1664
+ 00:41:40,060 --> 00:41:44,550
1665
+ ุจูŠุตูŠุฑ ู„ู‡ Amplification ููŠ ุญุงู„ุงุช ุงู„ู€ Breast Cancer
1666
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/5UPxa-XTrXY_postprocess.srt ADDED
@@ -0,0 +1,2004 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,770 --> 00:00:08,230
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุฏุฃู†ุง ุงู„ุญุฏูŠุซ ููŠ ุงู„ู…ุญุงุถุฑุฉ
4
+
5
+ 2
6
+ 00:00:08,230 --> 00:00:15,970
7
+ ุงู„ุณุงุจู‚ุฉ ุนู† ุงู„ cell signaling ูˆุฐูƒุฑู†ุง ุงู„ steps
8
+
9
+ 3
10
+ 00:00:15,970 --> 00:00:21,770
11
+ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ุง ุงู„ุฅุดุงุฑุฉ ู…ู† ุฎุงุฑุฌ
12
+
13
+ 4
14
+ 00:00:21,770 --> 00:00:27,370
15
+ ุงู„ุฎู„ูŠุฉ ูˆุตูˆู„ุง ุฅู„ู‰ ุฃู†ูˆุงุน ูˆุญูƒูŠู†ุง ุนู† ุงู„ growth factor
16
+
17
+ 5
18
+ 00:00:27,370 --> 00:00:31,630
19
+ bindingูˆุจุนุฏ ู‡ูŠูƒ ุงู„ู€ dimerization ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู„ู„ู€
20
+
21
+ 6
22
+ 00:00:31,630 --> 00:00:37,290
23
+ receptor ูˆุจุนุฏูŠู† ุงู„ auto phosphorylation ูˆุจุนุฏ ู‡ูŠูƒ
24
+
25
+ 7
26
+ 00:00:37,290 --> 00:00:43,370
27
+ ุงู†ุชู‚ุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุฏุงุฎู„
28
+
29
+ 8
30
+ 00:00:43,370 --> 00:00:48,790
31
+ ุงู„ุฎู„ูŠุฉ ูˆ ุงู„ activation of intracellular kinase
32
+
33
+ 9
34
+ 00:00:48,790 --> 00:00:55,470
35
+ cascade ุงู„ู„ูŠ ู‡ูˆ ุงู„ map kinase cascade ูˆูˆุตู„ู†ุง ุฅู„ู‰
36
+
37
+ 10
38
+ 00:00:55,470 --> 00:01:01,320
39
+ ุงู„ู†ู‚ุทุฉ Eูˆู‡ูŠ ุงู„ activation of transcription factors
40
+
41
+ 11
42
+ 00:01:01,320 --> 00:01:06,760
43
+ ูŠุจู‚ู‰ ุงู„ุฎุทูˆุฉ E ุงู„ regulation of transcription
44
+
45
+ 12
46
+ 00:01:06,760 --> 00:01:13,100
47
+ factors ูˆุญู†ุงุฎุฏ ูƒ model ู‡ุงู† ุงู„ AP1 transcription
48
+
49
+ 13
50
+ 00:01:13,100 --> 00:01:19,680
51
+ factor ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ุณุงุจู‚ุง ุงู„ AP1 ูŠุนุชุจุฑ
52
+
53
+ 14
54
+ 00:01:19,680 --> 00:01:25,260
55
+ important target of the MAP-K cascade ูŠุจู‚ู‰ ุจุชุชู… ุงู„
56
+
57
+ 15
58
+ 00:01:25,260 --> 00:01:36,270
59
+ activationู„ู„ู€ AP1 ุนู† ุทุฑูŠู‚ ุงู„ู€ MAPK Cascade ูˆุทุจุนุง
60
+
61
+ 16
62
+ 00:01:36,270 --> 00:01:41,230
63
+ ุจุนุฏ ู…ุง ูŠุชู… ุงู„ activation ู„ ุงู„ AP1 ุจูŠุฑุชุจุทุŒ ุงุญู†ุง
64
+
65
+ 17
66
+ 00:01:41,230 --> 00:01:44,610
67
+ ุจู†ุญูƒูŠ ุนู„ู‰ transcription factor ุจูŠุฑุชุจุท ู…ุน ุงู„ DNA
68
+
69
+ 18
70
+ 00:01:44,610 --> 00:01:48,690
71
+ ุนู„ู‰ ุงู„ response elementูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุนู…ู„ ู„ูŠู‡ ุฑูŠุฌูˆู„ูŠุดู†
72
+
73
+ 19
74
+ 00:01:48,690 --> 00:01:54,430
75
+ ู„ู„ุฅูŠุฌุงุจุฉ ู„ุฌูŠู†ุงุช ู…ุฎุชู„ูุฉ ูˆุฌูŠู†ุงุช ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ู„ู‡ุง
76
+
77
+ 20
78
+ 00:01:54,430 --> 00:02:03,430
79
+ ุนู„ุงู‚ุฉ ุจุงู„ุชู†ู…ูŠุฉ ุจุงู„ู…ุฎุชู„ูุฉ ูˆุฃูŠุถุง ุจุงู„ู…ูˆุช ูˆุงุญุฏ
80
+
81
+ 21
82
+ 00:02:03,430 --> 00:02:06,250
83
+ ู…ู† ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ูŠ ูŠู‚ูˆู… ุงู„ุฌู…ูŠุน ุจุฅุฏุฎุงู„ ุชู†ู…ูŠุฉ ุณู„ุณู„ุฉ
84
+
85
+ 22
86
+ 00:02:06,250 --> 00:02:12,370
87
+ ุจุฑูˆุบุฑูŠุดู† ู‡ูˆ ุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰ ูˆุฅุฏุฎุงู„ ุงู„ุฌูŠู†ุงุช CyclineD
88
+
89
+ 23
90
+ 00:02:13,530 --> 00:02:16,950
91
+ ุจู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู† ุงู„ู€ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ cell
92
+
93
+ 24
94
+ 00:02:16,950 --> 00:02:24,630
95
+ cycle ูˆ ุงู„ู„ูŠ ุจูŠุชู… ุงู„ activation ุฃูˆ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง
96
+
97
+ 25
98
+ 00:02:24,630 --> 00:02:27,010
99
+ expression ู„ู‡ุฐุง ุงู„ gene ุจุนุฏ ู…ุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
100
+
101
+ 26
102
+ 00:02:27,010 --> 00:02:33,430
103
+ activation ู„ ุงู„ AP1 ูˆ ูŠุฑุชุจุท ุนู„ู‰ ุงู„ promoter ู„ ุงู„
104
+
105
+ 27
106
+ 00:02:33,430 --> 00:02:38,190
107
+ cycling D gene ูˆ ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ cycling D ู„ู…ุง ู†ุญูƒูŠ
108
+
109
+ 28
110
+ 00:02:38,190 --> 00:02:41,250
111
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ cell cycle
112
+
113
+ 29
114
+ 00:02:44,610 --> 00:02:49,330
115
+ ูƒู…ุง ุฐูƒุฑู†ุง ุณุงุจู‚ุงู‹ ุฅู†ู‡ ู„ู€ Transcription Factor
116
+
117
+ 30
118
+ 00:02:49,330 --> 00:02:55,170
119
+ ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุนู…ู„ Regulation ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes
120
+
121
+ 31
122
+ 00:02:55,170 --> 00:03:01,490
123
+ ูˆุนู†ุง ุฃูŠุถุง ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู€ AP1 ูˆุฒูŠ ู…ุง ู‡ูˆ
124
+
125
+ 32
126
+ 00:03:01,490 --> 00:03:06,090
127
+ ูˆุงุถุญ ุจุงู„ู€ Figure ู‡ุงู† ุงู„ู€ AP1 ุจูŠุนู…ู„ Expression
128
+
129
+ 33
130
+ 00:03:06,090 --> 00:03:09,150
131
+ ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ู€
132
+
133
+ 34
134
+ 00:03:09,150 --> 00:03:13,800
135
+ Differentiation ุจุงู„ู€ Cell Cycle Progressionูˆ ุฃูŠุถู‹ุง
136
+
137
+ 35
138
+ 00:03:13,800 --> 00:03:21,920
139
+ ุจุงู„-apoptosis ูˆู‚ุงู„ุช ู‡ู†ุง ุจุฑุถู‡ ุณุงุจู‚ู‹ุง ุฃู† ุงู„ AP1 ู‡ูˆ
140
+
141
+ 36
142
+ 00:03:21,920 --> 00:03:30,310
143
+ ุนุจุงุฑุฉ ุนู† ุงู„-dimer ูˆุนู†ุง familiesุงู„ู„ูŠ ุจุชูƒูˆู† ู‡ุฐู‡ ุงู„
144
+
145
+ 37
146
+ 00:03:30,310 --> 00:03:35,670
147
+ dimers ููŠ ุงู„ AP1 ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ุฌู† ูˆููŠ ุนู†ุฏู†ุง ุงู„ูุณ
148
+
149
+ 38
150
+ 00:03:35,670 --> 00:03:39,490
151
+ ุฃูŠุถุง ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุงู† ุงู†ู‡ ุงูŠุด ุงู„ protein ุงู„ู„ูŠ
152
+
153
+ 39
154
+ 00:03:39,490 --> 00:03:43,630
155
+ ุจูŠุตูŠุฑู„ู‡ ุทุจุนุง ู„ูˆ ุงุญุฏ ู…ูƒูˆู†ุงุช ุงู„ AP1 ุงูŠุด ุงู„ protein
156
+
157
+ 40
158
+ 00:03:43,630 --> 00:03:50,390
159
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑู„ู‡ activation ูˆููŠ ุงูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุง ูŠุจู‚ู‰
160
+
161
+ 41
162
+ 00:03:50,390 --> 00:03:57,410
163
+ ุงูŠุด ุงู„ู…ูƒูˆู† ู„ู„ AP1 ุงูŠุด ุงู„ู„ูŠ ู‡ูŠุนู…ู„ ุงู„ dimerููŠ ุฃูŠ ู†ูˆุน
164
+
165
+ 42
166
+ 00:03:57,410 --> 00:04:03,890
167
+ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ูˆุฌูˆุฏ ุชู…ุงู… ู‡ุงู† ู‡ูŠุนุทูŠู†ูŠ ุงู„ effects
168
+
169
+ 43
170
+ 00:04:03,890 --> 00:04:13,770
171
+ ุงู„ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ู…ุซู„ุง ู…ู…ูƒู† ููŠ ุฃู†ู‡ ุงู„ ุฌู† ุจูŠ ู…ุซู„ุง ุงู„ุฌู†
172
+
173
+ 44
174
+ 00:04:13,770 --> 00:04:17,910
175
+ ุจูŠ ุจุงู„ fibroblasts ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
176
+
177
+ 45
178
+ 00:04:17,910 --> 00:04:23,390
179
+ differentiation ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ู…ูƒู† ูŠูƒูˆู†
180
+
181
+ 46
182
+ 00:04:23,390 --> 00:04:29,310
183
+ Anti cell cycle progressionุชู…ุงู… ูˆ ุจุฑุถู‡ ุงุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:29,310 --> 00:04:34,170
187
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ John D ู…ุซู„ุง ุจุฑุถู‡ ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
188
+
189
+ 48
190
+ 00:04:34,170 --> 00:04:38,270
191
+ differentiation ู„ูƒู† ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฏูˆุฑ ุงูŠุถุง ููŠ ุงู„
192
+
193
+ 49
194
+ 00:04:38,270 --> 00:04:43,290
195
+ cell cycle progression ูˆ ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ุงู„ู„ูŠ ู‡ูˆ ูƒ
196
+
197
+ 50
198
+ 00:04:43,290 --> 00:04:48,690
199
+ anti-apoptotic agent ูŠุจูŠู†ู†ุง ุญุณุจ ุงูŠุด ุงู„ู…ูƒูˆู† ู„ ุงู„
200
+
201
+ 51
202
+ 00:04:48,690 --> 00:04:54,030
203
+ AP1 ุงูŠุด ุงู„ two monomers ุงู„ู„ูŠ ู‡ูŠุนุทูŠู†ุง ุงู„ dimerูˆุญุณุจ
204
+
205
+ 52
206
+ 00:04:54,030 --> 00:04:59,270
207
+ ู…ูˆุฌูˆุฏ ููŠ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุง ู‡ุชูƒูˆู† ุนู†ุฏู†ุง ุงู„ effect
208
+
209
+ 53
210
+ 00:04:59,270 --> 00:05:05,370
211
+ ุทูŠุจ ูุนู„ูŠุง ุฅูŠุด ุงู„ู„ูŠ ูŠุนู†ูŠ ู‡ูŠุนู…ู„ู„ูŠ activation ู„ ุงู„
212
+
213
+ 54
214
+ 00:05:05,370 --> 00:05:09,810
215
+ different monomers ุนุดุงู† ูŠูƒูˆู†ูˆุง dimers ูˆูŠุนุทูˆู†ูŠ ุงู„ู„ูŠ
216
+
217
+ 55
218
+ 00:05:09,810 --> 00:05:13,270
219
+ ู‡ูˆ ุงู„ AP1 ูˆ ุจุนุฏูŠู† ูŠุนุทูŠู†ูŠ ุงู„ effect ุงู„ู…ุทู„ูˆุจุฉ ุงู„ุขู†
220
+
221
+ 56
222
+ 00:05:13,270 --> 00:05:18,750
223
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ุทุจุนุง ู…ู† ุฎู„ุงู„ ุงู„ research ุงู„ู„ูŠ ุชู…ู„ุงุฌูˆุง
224
+
225
+ 57
226
+ 00:05:18,750 --> 00:05:23,150
227
+ ุฅู† ุงู„ู€ contribution ูˆ AP want to sell fate depends
228
+
229
+ 58
230
+ 00:05:23,150 --> 00:05:27,170
231
+ on the cellular context and the survival or death
232
+
233
+ 59
234
+ 00:05:27,170 --> 00:05:32,410
235
+ stimulus ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„
236
+
237
+ 60
238
+ 00:05:32,410 --> 00:05:36,530
239
+ ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ู‡ูŠ
240
+
241
+ 61
242
+ 00:05:36,530 --> 00:05:40,710
243
+ ุงู„ู„ูŠ ุจุชุญุฏุฏ ุฅูŠุด ุงู„ู„ูŠ ุจุฏูŠูˆุตู„ู‡activation ูˆุฅูŠุด ุงู„ุฏูˆุฑ
244
+
245
+ 62
246
+ 00:05:40,710 --> 00:05:46,090
247
+ ุงู„ู„ูŠ ู‡ูŠู„ุนุจู‡ ุงู„ AP1 ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ุญุฏุฏ ุขุฎุฑ ุจุฑุถู‡ ุฃูƒูŠุฏ
248
+
249
+ 63
250
+ 00:05:46,090 --> 00:05:50,170
251
+ ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ ูˆุตู„ุชู‡ุง ุงู„ signal Therefore, the
252
+
253
+ 64
254
+ 00:05:50,170 --> 00:05:53,050
255
+ role of AP1 in apoptosis should be considered
256
+
257
+ 65
258
+ 00:05:53,050 --> 00:05:55,870
259
+ within the context of a complex network of
260
+
261
+ 66
262
+ 00:05:55,870 --> 00:05:59,070
263
+ signaling pathways and nuclear factors that
264
+
265
+ 67
266
+ 00:05:59,070 --> 00:06:03,430
267
+ respond simultaneouslyูŠุจู‚ู‰ ูƒู…ุงู† ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
268
+
269
+ 68
270
+ 00:06:03,430 --> 00:06:10,450
271
+ ุจุฑุถู‡ ู…ุด ุจุณ ุงู„ AP1 ุงู„ู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑ ู„ุฃ ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
272
+
273
+ 69
274
+ 00:06:10,450 --> 00:06:13,190
275
+ ุงู„ู„ูŠ ู‡ูˆ network of signaling pathways ูŠุจู‚ู‰ ููŠ
276
+
277
+ 70
278
+ 00:06:13,190 --> 00:06:18,690
279
+ ุนู†ุฏู†ุง ุงู„ู…ู…ูƒู† ุฅุดุงุฑุงุช ู…ุฎุชู„ูุฉ ุจ proteins ุฃุฎุฑู‰ ุจูŠุตู„ู‡ุง
280
+
281
+ 71
282
+ 00:06:18,690 --> 00:06:23,930
283
+ activation ูˆ ู…ุน ุงู„ AP1 ูˆ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ AP1 ุงู„ู„ูŠ ุจุฏูŠ
284
+
285
+ 72
286
+ 00:06:23,930 --> 00:06:29,350
287
+ ูŠุตู„ู‡ activation ุชู…ุงู… ูƒู„ ู‡ุฐู‡ุจุชุญุฏุฏ ุฅูŠุด ุงู„ effect
288
+
289
+ 73
290
+ 00:06:29,350 --> 00:06:34,370
291
+ ุงู„ู„ูŠ ุจุฏู‡ุง ุชุตูŠุฑ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุชู…ุงู… ุจูŠุฌูŠ ู…ุฑุฉ ุฃุฎุฑู‰
292
+
293
+ 74
294
+ 00:06:34,370 --> 00:06:38,210
295
+ ุงู„ signal ุงู„ู„ูŠ ุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ุฅูŠุด ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ
296
+
297
+ 75
298
+ 00:06:38,210 --> 00:06:43,810
299
+ ูˆุตู„ุชู‡ุง ุงู„ signal ุฅูŠุด ุจุฏู‡ ูŠุตูŠุฑ activation ู„ุฃูŠ ู†ูˆุน
300
+
301
+ 76
302
+ 00:06:43,810 --> 00:06:50,550
303
+ ู…ู† ุงู„ู„ูŠ ู‡ูˆ AP1 ุชู…ุงู… ูˆ ุฃูŠุถุงุฅูŠุด ุงู„ other signals
304
+
305
+ 77
306
+ 00:06:50,550 --> 00:06:55,650
307
+ pathways ุงู„ู„ูŠ ุญุตู„ู‡ุง ุจุฑุถู‡ activation ุจูŠุฏู‚ู„ ูƒู„ู‡
308
+
309
+ 78
310
+ 00:06:55,650 --> 00:07:01,390
311
+ ุจู…ุญุฏุฏุงุช ุงู„ุฎู„ูŠุฉ ู‡ุชุฑูˆุญ ู„ูˆูŠู† ู„ differentiation ู„ cell
312
+
313
+ 79
314
+ 00:07:01,390 --> 00:07:06,150
315
+ cycle progression ุฃูˆ ู„ apoptosis ูˆู‡ุฐุง figure ุขุฎุฑ
316
+
317
+ 80
318
+ 00:07:06,150 --> 00:07:12,170
319
+ ูŠุนู†ูŠ ุจูŠุนุทูŠู†ุง ุชูˆุถูŠุญ ุฃูƒุซุฑุนู† ุจูŠู‡ุงู† ุงุญู†ุง ุจู†ุญูƒูŠ ุจุดูƒู„
320
+
321
+ 81
322
+ 00:07:12,170 --> 00:07:16,730
323
+ ุฎุงุต ุนู† ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ู…ู…ูƒู† ุจุชุนู…ู„ูŠ proliferation ุงูˆ
324
+
325
+ 82
326
+ 00:07:16,730 --> 00:07:20,070
327
+ ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุจุชุนุชุจุฑ anti-proliferative ุชู…ุงู… ูŠุจู‚ู‰
328
+
329
+ 83
330
+ 00:07:20,070 --> 00:07:26,030
331
+ ู‡ุงู† ููŠู‡ ุฌุงู† ุจูŠ ูˆ ุฌุงู† ูˆ ุฌุงู† ุฏูŠ ูƒู„ ู‡ุฐู‡ members ู…ู† ุงู„
332
+
333
+ 84
334
+ 00:07:26,030 --> 00:07:30,410
335
+ families ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ AP1 ูŠุจู‚ู‰ ุญุณุจ ุงู„ signal ูˆ
336
+
337
+ 85
338
+ 00:07:30,410 --> 00:07:35,370
339
+ ุฅูŠุด ุญูŠุตูŠุฑ ููŠู‡ ุนู†ุง activationุชู…ุงู… ุจุนุฏ ู‡ูŠูƒ ู‡ูŠุตูŠุฑ ููŠู‡
340
+
341
+ 86
342
+ 00:07:35,370 --> 00:07:39,970
343
+ ุฃู†ู‡ ุฅู…ุง ูŠุนู†ูŠ ู‡ูŠ ุนู„ู‰ ุงุณู… ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ุงู„ ุงู„
344
+
345
+ 87
346
+ 00:07:39,970 --> 00:07:44,670
347
+ ุฌุงู† ุจูŠ ู…ุซู„ุง ุงู„ ุฌุงู† ุจูŠ ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนู…ู„ูŠ inhibition
348
+
349
+ 88
350
+ 00:07:44,670 --> 00:07:53,170
351
+ ู„ุงู„cycline D ู‡ุฏููŠ ุงู„ fibroblasts ู„ูƒู† ุฃู†ู‡ ููŠ ุงู„
352
+
353
+ 89
354
+ 00:07:53,170 --> 00:07:57,330
355
+ bone cells ู…ู…ูƒู† member ุฃุฎุฑ ู…ู† ุงู„ members ุงู„ู„ูŠ
356
+
357
+ 90
358
+ 00:07:57,330 --> 00:08:01,580
359
+ ุจุชูƒูˆู† ุงู„ AP1ุงู„ู„ูŠ ู…ุงุญูƒู†ุงุด ุนู„ูŠู‡ ุณุงุจู‚ุง ู‡ูˆ ุงู„ ATF ุจุฑุถู‡
360
+
361
+ 91
362
+ 00:08:01,580 --> 00:08:06,280
363
+ ู‡ูŠุจู‚ู‰ ูŠุง ุฏูŠ family ุฃุฎุฑู‰ ู…ู† ุงู„ู…ูƒูˆู†ุงุช ู„ ุงู„ AP1 ูŠุจู‚ู‰
364
+
365
+ 92
366
+ 00:08:06,280 --> 00:08:10,680
367
+ ุนู†ุฏู†ุง ุงู„ุฌู† ูˆ ุงู„ูุต ูˆ ุงู„ ATF ุฃูŠุถุง ูŠุจู‚ู‰ ุฅูŠุด ุจูŠุตูŠุฑ ููŠู‡
368
+
369
+ 93
370
+ 00:08:10,680 --> 00:08:14,060
371
+ ุฃู†ู‡ ูŠุนู†ูŠ ู‡ุงูŠ ููŠ ุงู„ bone cells ๏ฟฝ๏ฟฝู† ุงู„ ATF ู…ุซู„ุง ู‡ุฐุง
372
+
373
+ 94
374
+ 00:08:14,060 --> 00:08:20,140
375
+ ุจูŠุนู…ู„ activation ู„ ุงู„ cycling D ุจูŠู†ู…ุง ุงู„ุฌู† ู…ุซู„ุง
376
+
377
+ 95
378
+ 00:08:20,140 --> 00:08:25,740
379
+ ู‡ุงู† ู‡ุงู† ุจูŠุนู…ู„ูŠุงู„ูˆ activation ู„ ุงู„ cycling D ูŠุจู‚ู‰
380
+
381
+ 96
382
+ 00:08:25,740 --> 00:08:29,120
383
+ ุงู„ different family members ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ AP1
384
+
385
+ 97
386
+ 00:08:29,120 --> 00:08:32,100
387
+ ู‡ูŠุตูŠุฑ activation ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจู†ุงุก ุนู„ู‰ ุงู„ signals
388
+
389
+ 98
390
+ 00:08:32,100 --> 00:08:38,000
391
+ ุงู„ู„ูŠ ู‡ุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ูˆ ุฅูŠู‡ ู†ูˆุน ุงู„ุฎู„ูŠุฉ ูˆ ุจุงู„ู†ู‡ุงูŠุฉ
392
+
393
+ 99
394
+ 00:08:38,000 --> 00:08:43,120
395
+ ู‡ุชุนุทูŠู†ูŠ ุฅู…ุง ุงู„ antiproliferative effect ุฃูˆ ู…ู…ูƒู†
396
+
397
+ 100
398
+ 00:08:43,120 --> 00:08:47,500
399
+ ุชุนุทูŠู†ูŠ proliferative effect ุงู„ AP1 activity is
400
+
401
+ 101
402
+ 00:08:47,500 --> 00:08:52,090
403
+ induced by two mechanismsูŠุจู‚ู‰ ุนู†ุฏู†ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู…
404
+
405
+ 102
406
+ 00:08:52,090 --> 00:08:56,350
407
+ ุงู„ุฃูˆู„ู‰ ุงู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ direct phosphorylation
408
+
409
+ 103
410
+ 00:08:56,350 --> 00:09:05,210
411
+ ู„members of phosph family by map K ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
412
+
413
+ 104
414
+ 00:09:05,210 --> 00:09:09,470
415
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ phosphorylation ู‡ุฐู‡ ู‡ุชุฃุซุฑ ุนู„ู‰ ุงู„ DNA
416
+
417
+ 105
418
+ 00:09:09,470 --> 00:09:14,990
419
+ binding activity ุงู„ุดุบู„ ุงู„ุชุงู†ูŠ ุงู†ู‡ ุงู„ map K
420
+
421
+ 106
422
+ 00:09:14,990 --> 00:09:18,790
423
+ phosphorylation and subsequent activationof other
424
+
425
+ 107
426
+ 00:09:18,790 --> 00:09:21,850
427
+ transcription factors increases the expression of
428
+
429
+ 108
430
+ 00:09:21,850 --> 00:09:26,630
431
+ both FOS and JAN genes ูŠุจู‚ู‰ ุจุทุฑูŠู‚ุชูŠู† ุงู„ activity
432
+
433
+ 109
434
+ 00:09:26,630 --> 00:09:33,170
435
+ ู„ู‡ุง ุงู„ AP1 ุจุชุฒูŠุฏ ุงู…ุง ุจุฒูŠุงุฏุฉ ุฅู†ุชุงุฌ ุงู„ FOS ูˆ ุงู„ JAN
436
+
437
+ 110
438
+ 00:09:33,170 --> 00:09:39,490
439
+ ุงู„ู„ูŠ ู‡ูŠูƒูˆู†ูˆู„ูŠ ุงู„ AP1 ุฃูˆุนู† ุทุฑูŠู‚ ุงู„ู€ phosphorylation
440
+
441
+ 111
442
+ 00:09:39,490 --> 00:09:45,590
443
+ ุงู„ู„ูŠ ู‡ุชุตูŠุฑ ู„ ุงู„ AP1 ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุฒูŠุฏ ู…ู† ุงู„ affinity
444
+
445
+ 112
446
+ 00:09:45,590 --> 00:09:50,950
447
+ ู„ ุงู„ุฅุฑุชุจุงุท ู…ุน ุงู„ DNA ูˆุจุงู„ุชุงู„ูŠ expression ู„ ุงู„
448
+
449
+ 113
450
+ 00:09:50,950 --> 00:09:54,770
451
+ genes ุงู„ู…ุนู†ูŠุฉ as a result AP1 activity increases
452
+
453
+ 114
454
+ 00:09:54,770 --> 00:09:59,530
455
+ and subsequent transcriptional regulation proceeds
456
+
457
+ 115
458
+ 00:09:59,530 --> 00:10:06,680
459
+ ูˆู‡ุฐุง ุงู„ figure ุจูŠูˆุถุญ ุงู†ู‡ุทุจุนุง ู…ุน ูˆุตูˆู„ ุงู„ signal ุฒูŠ
460
+
461
+ 116
462
+ 00:10:06,680 --> 00:10:11,840
463
+ ู…ุง ู‚ู„ู†ุง ุฅู…ุง ุจูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ exception ุนุงูŠุจ ุฌุฏุง ู…ู…ูƒู†
464
+
465
+ 117
466
+ 00:10:11,840 --> 00:10:13,780
467
+ ุชุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง phosphorylation ู„ transcription
468
+
469
+ 118
470
+ 00:10:13,780 --> 00:10:18,340
471
+ factors ุฃุฎุฑู‰ ูˆู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ transcription factors
472
+
473
+ 119
474
+ 00:10:18,340 --> 00:10:23,020
475
+ ุชุฒูŠุฏ ุงู„ exception ู„ ุงู„ C-Foss ูˆtranscription
476
+
477
+ 120
478
+ 00:10:23,020 --> 00:10:27,780
479
+ factors ุฃุฎุฑู‰ ู…ู…ูƒู† ุชุฒูŠุฏ ุงู„ exception ู„ ุงู„ C-John
480
+
481
+ 121
482
+ 00:10:28,240 --> 00:10:33,560
483
+ genes ูˆ ู‡ุฏูˆู„ ู‡ูŠูƒูˆู†ูˆู„ูŠ ุงู„ AP1 ูˆ ุงู„ AP1 ู‡ุชุนู…ู„
484
+
485
+ 122
486
+ 00:10:33,560 --> 00:10:38,100
487
+ expression ู„ ุงู„ genes ุงู„ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ุฅู…ุง ุจุฒูŠุงุฏุฉ ุงู„
488
+
489
+ 123
490
+ 00:10:38,100 --> 00:10:42,460
491
+ expression ุฃูˆ ู…ู…ูƒู† ูŠุนู†ูŠ ู…ุด ูˆุงุถุญ ุจุงู„ุตูˆุฑุฉ ู‡ุฐู‡ ู„ูƒู†
492
+
493
+ 124
494
+ 00:10:42,460 --> 00:10:47,880
495
+ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ูŠุตูŠุฑ ููŠู‡ ุฃู† phosphorylation ู„ C-phos
496
+
497
+ 125
498
+ 00:10:47,880 --> 00:10:52,640
499
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูˆู‡ุฐุง ูŠุฒูŠุฏ ู…ู† ุงุฑุชุจุงุทู‡ ู…ุน ุงู„
500
+
501
+ 126
502
+ 00:10:52,640 --> 00:10:57,330
503
+ response elements ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถุง expression ู„genes
504
+
505
+ 127
506
+ 00:10:57,330 --> 00:11:02,470
507
+ ู…ุนูŠู†ุฉ ู…ุซุงู„ ุขุฎุฑ ุฃูŠุถุง ุนู„ู‰ ุงู„ transcription factor
508
+
509
+ 128
510
+ 00:11:02,470 --> 00:11:06,510
511
+ ุนู†ุฏู†ุง ุงู„ mech ุงู„ transcription factor ูˆููŠ ุนู†ุฏู†ุง
512
+
513
+ 129
514
+ 00:11:06,510 --> 00:11:10,810
515
+ ุนุงุฆู„ุฉ ุงู„ mech ููŠ ุนู†ุฏู†ุง ุฃูƒุชุฑ ู…ู† member ููŠ ุนู†ุฏู†ุง ุงู„
516
+
517
+ 130
518
+ 00:11:10,810 --> 00:11:16,870
519
+ c mech ูˆ ุงู„ l mech ูˆ ุฃูŠุถุง ุงู„ n mech ูˆ ู‡ุฐู‡ ุงู„ุนุงุฆู„ุฉ
520
+
521
+ 131
522
+ 00:11:16,870 --> 00:11:20,870
523
+ ู…ู† ุงู„ transcription factors ุงู„ู„ูŠ ู‡ูŠ ุงู„ mech ุจุชุฑุชุจุท
524
+
525
+ 132
526
+ 00:11:20,870 --> 00:11:24,410
527
+ ุฃูŠุถุง ู…ุน transcription factors ุฃุฎุฑู‰ ุฒูŠ ุงู„ max ุฒูŠ ุงู„
528
+
529
+ 133
530
+ 00:11:24,410 --> 00:11:29,810
531
+ mad ูˆ ุฒูŠ ุงู„ maxiูŠุจู‚ู‰ they can dimerize in
532
+
533
+ 134
534
+ 00:11:29,810 --> 00:11:32,890
535
+ different ways and lead to distinct biological
536
+
537
+ 135
538
+ 00:11:32,890 --> 00:11:37,110
539
+ effects on growth differentiation and death ูŠุจู‚ู‰
540
+
541
+ 136
542
+ 00:11:37,110 --> 00:11:42,670
543
+ ุญุณุจ ุฃูŠ transcription factor ู‡ูŠุฑุชุจุท ู…ุน ุฃูŠ member ู‡ูˆ
544
+
545
+ 137
546
+ 00:11:42,670 --> 00:11:46,510
547
+ ุงู„ู„ูŠ ู‡ูŠุนุทูŠู†ูŠ ุงู„ effects ุฃูˆ ุงู„ biological effects
548
+
549
+ 138
550
+ 00:11:46,510 --> 00:11:49,950
551
+ ุงู„ู…ุฎุชู„ูุฉ ุฃูŠุถุง ู‡ุฐู‡ ุงู„ transcription factors ุจุฑุถู‡
552
+
553
+ 139
554
+ 00:11:49,950 --> 00:11:54,990
555
+ several seem to be targets of map K ูŠุจู‚ู‰ ุจุฑุถู‡ ุจุณู„ุฉ
556
+
557
+ 140
558
+ 00:11:54,990 --> 00:11:59,050
559
+ activationุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ MAPK ุฒูŠ ู…ุง ุดูˆูู†ุง ููŠ
560
+
561
+ 141
562
+ 00:11:59,050 --> 00:12:03,230
563
+ ุญุงู„ุฉ ุงู„ู€ AP1 ุจุงู„ู†ุณุจุฉ ู„ู€ MEC is a short-lived
564
+
565
+ 142
566
+ 00:12:03,230 --> 00:12:08,130
567
+ protein that promotes proliferation by regulating
568
+
569
+ 143
570
+ 00:12:08,130 --> 00:12:12,590
571
+ the expression of specific target genes ูŠุจู‚ู‰ ุจูŠุนู…ู„
572
+
573
+ 144
574
+ 00:12:12,590 --> 00:12:17,270
575
+ proliferation ุนู† ุทุฑูŠู‚ ุงู„ู€ exception ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ
576
+
577
+ 145
578
+ 00:12:17,270 --> 00:12:22,450
579
+ ู‡ูˆ ุฒูŠุงุฏุฉุงู„ู€ Exhibition ู„ู€ Genes ุฒูŠ ุนู†ุฏู†ุง ุงู„ู€ N-RAS
580
+
581
+ 146
582
+ 00:12:22,450 --> 00:12:28,970
583
+ ูˆุนู†ุฏู†ุง ุงู„ู€ B53 ุงู„ู…ูŠูƒ ูŠุทู„ุจ ู…ู† ุงู„ู€ Constitutively
584
+
585
+ 147
586
+ 00:12:28,970 --> 00:12:33,070
587
+ Exhibits Max Protein to function ูŠุจู‚ู‰ ู„ุงุฒู… ูŠุตูŠุฑ
588
+
589
+ 148
590
+ 00:12:33,070 --> 00:12:37,890
591
+ ุนู†ุฏู†ุง Dimerization ุจูŠู† ุงู„ู…ูŠูƒ ูˆุจูŠู† ุงู„ู€ Max ุงู„
592
+
593
+ 149
594
+ 00:12:37,890 --> 00:12:41,910
595
+ Transcription Factor ุนุดุงู† ูŠูƒูˆู† ุงู„ู…ูŠูƒ ู‚ุงุฏุฑ ุนู„ู‰
596
+
597
+ 150
598
+ 00:12:41,910 --> 00:12:47,030
599
+ ุงู„ุฅุฑุชุจุงุท ู…ุน ุงู„ู€ DNAูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ expression ู„ู€
600
+
601
+ 151
602
+ 00:12:47,030 --> 00:12:50,910
603
+ genes ู…ุนูŠู†ุฉ ุจูŠู†ู…ุง ุงู„ู€ heterodymers ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ
604
+
605
+ 152
606
+ 00:12:50,910 --> 00:12:54,890
607
+ ู…ู…ูƒู† ุชุชูƒูˆู† ู…ู† ู‡ุฐู‡ ุงู„ู€ transcription factors ุฒูŠ
608
+
609
+ 153
610
+ 00:12:54,890 --> 00:12:59,270
611
+ ุนู†ุฏู†ุง ุงู„ู€ Max Max ุฃูˆ ุงู„ู€ Mad Maxi ู‡ุฏูˆู„ ูŠุนุชุจุฑูˆุง
612
+
613
+ 154
614
+ 00:12:59,270 --> 00:13:05,830
615
+ inhibitory ู„ู€ Mac function ูˆู‡ุฐุง ูˆุงุถุญ ููŠ ุงู„ููŠุฌุฑ
616
+
617
+ 155
618
+ 00:13:05,830 --> 00:13:09,150
619
+ ุงู„ุชุงู„ูŠ ุงุญู†ุง ู‚ู„ู†ุง ุงู† ุงู„ู€ Mac transcription factor
620
+
621
+ 156
622
+ 00:13:09,150 --> 00:13:15,330
623
+ ุจูŠุญุชุงุฌ ุฅู„ู‰ Max ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ activationู„ู„ู€
624
+
625
+ 157
626
+ 00:13:15,330 --> 00:13:18,810
627
+ transcription factor ูˆุงุฑุชุจุงุทู‡ ุนู„ู‰ ุงู„ู€ response
628
+
629
+ 158
630
+ 00:13:18,810 --> 00:13:22,230
631
+ element ูˆุจุงู„ุชุงู„ูŠ ุงู„ transcription ู„ ุงู„ target
632
+
633
+ 159
634
+ 00:13:22,230 --> 00:13:27,230
635
+ genesุจูŠู†ู…ุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ู…ู† ุงู„ max ู…ุน
636
+
637
+ 160
638
+ 00:13:27,230 --> 00:13:31,770
639
+ ุงู„ max ุจูŠู‡ุง ุฏู‡ ู‡ูŠุนู…ู„ competition ู…ุน ุงู„ mech ูˆ ุงู„
640
+
641
+ 161
642
+ 00:13:31,770 --> 00:13:36,590
643
+ max ุจุฌู‡ุฉ ุฏู‡ ู…ู…ูƒู† ูŠู…ู†ุน ุงุฑุชุจุงุท ู„ุฃู†ู‡ ู‡ูŠู†ุงูุณ ุงู„ mech
644
+
645
+ 162
646
+ 00:13:36,590 --> 00:13:41,010
647
+ max ููŠ ุงู„ุงุฑุชุจุงุท ุนู„ู‰ ุงู„ response element ุจูŠู†ู…ุง ุฅุฐุง
648
+
649
+ 163
650
+ 00:13:41,010 --> 00:13:44,690
651
+ ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ุจูŠู† ุงู„ mad ูˆ ุจูŠู† ุงู„ max ุจูŠู‡ุง
652
+
653
+ 164
654
+ 00:13:44,690 --> 00:13:48,710
655
+ ุฏู‡ ู‡ูŠุนู…ู„ repressionุชู…ุงู…ุŒ ู‡ูŠุฑุชุจุท ุนู„ู‰ response
656
+
657
+ 165
658
+ 00:13:48,710 --> 00:13:52,850
659
+ element ูˆ ู‡ูŠุนู…ู„ repression ุญูƒูŠู†ุง ุณุงุจู‚ุง ุนู„ู‰ ุฃู‡ู…ูŠุฉ
660
+
661
+ 166
662
+ 00:13:52,850 --> 00:13:58,990
663
+ ุงู„ุฑุฃุณ ููŠ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุงู„ cell membrane ุฅู„ู‰ ุฏุงุฎู„
664
+
665
+ 167
666
+ 00:13:58,990 --> 00:14:05,290
667
+ ุงู„ุฎู„ูŠุฉุŒ ูˆู‚ูˆู„ู†ุง ุฃู† ุงู„ุฑุฃุณ ูŠุนุชุจุฑ a pivotal pointููŠ
668
+
669
+ 168
670
+ 00:14:05,290 --> 00:14:09,690
671
+ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ูˆูŠุนุชุจุฑ major player for the
672
+
673
+ 169
674
+ 00:14:09,690 --> 00:14:12,930
675
+ integration of a growth factor signal with a
676
+
677
+ 170
678
+ 00:14:12,930 --> 00:14:16,790
679
+ number of crucial signaling pathways ูˆุฅุญู†ุง ููŠ
680
+
681
+ 171
682
+ 00:14:16,790 --> 00:14:20,670
683
+ ุงู„ุตูŠุฏุงุช ุงู„ุณุงุจู‚ุฉ ุดูˆูู†ุง ุฅู†ู‡ ุงู„ุฑุงุณ ู…ู…ูƒู† ูŠุนู…ู„ู‰
684
+
685
+ 172
686
+ 00:14:20,670 --> 00:14:25,470
687
+ activation ู„ู„ุฑุงู ูˆุจุนุฏ ู‡ูŠูƒ ู„ู‚ู‰ ุงู„ map kinase
688
+
689
+ 173
690
+ 00:14:25,470 --> 00:14:29,990
691
+ cascade ู„ูƒู† ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุจุฑุถู‡ pathway ุฃุฎุฑู‰ ู…ู…ูƒู†
692
+
693
+ 174
694
+ 00:14:29,990 --> 00:14:34,680
695
+ ุตู„ู‰ activation ุนู† ุทุฑูŠู‚ ุงู„ุฑุงุณูˆุนู†ุฏู†ุง ุงู„ path way
696
+
697
+ 175
698
+ 00:14:34,680 --> 00:14:38,360
699
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ู‰ ุนู† ุทุฑูŠู‚ ุงู„ activation ู„ู„ phosphatidyl
700
+
701
+ 176
702
+ 00:14:38,360 --> 00:14:43,040
703
+ inositol 3-kinase ุนุจุงุฑุฉ ุนู† ุงู„ู„ู‰ ูˆ lipid kinase ูˆ
704
+
705
+ 177
706
+ 00:14:43,040 --> 00:14:47,700
707
+ ุงู„ู„ู‰ ูŠุนุชุจุฑ another effector protein downstream of
708
+
709
+ 178
710
+ 00:14:47,700 --> 00:14:51,840
711
+ rats ูˆ ู‡ุงู† ูˆุงุถุญ ุจุงู„ figure ุงุญู†ุง ู‚ู„ู†ุง ุงู† ุงู„ path
712
+
713
+ 179
714
+ 00:14:51,840 --> 00:14:55,760
715
+ way ู‡ุฐุง ุงู„ุฃูˆู„ ุงู„ู„ู‰ ุญุงูƒูŠู†ุง ุนู„ูŠู‡ GRP2 ูˆ ุงู„ source
716
+
717
+ 180
718
+ 00:14:55,760 --> 00:14:58,680
719
+ ุงู„ู„ู‰ ุจุนู…ู„ activation ู„ู„ุฑุงุณ ูˆ ุงู„ rats ุจุนุฏูŠู† ุจุนู…ู„
720
+
721
+ 181
722
+ 00:14:58,680 --> 00:15:03,490
723
+ activation ู„ู„ุฑููˆุจุนุฏูŠู† ู„ู‚ู‰ ุงู„ map ูƒ ูƒูŠู†ุงูŠุฒ ู„ูƒู† ููŠู‡ุง
724
+
725
+ 182
726
+ 00:15:03,490 --> 00:15:08,950
727
+ ุจุงุซูˆูŠุฉ ุฃุฎุฑู‰ ูˆู‡ูˆ ุนู† ุทุฑูŠู‚ ุงู„ activation ู„ ุงู„
728
+
729
+ 183
730
+ 00:15:08,950 --> 00:15:13,970
731
+ phosphatidyl inositol 3 ูƒูŠู†ุงูŠุฒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูˆ
732
+
733
+ 184
734
+ 00:15:13,970 --> 00:15:19,450
735
+ ุนุจุงุฑุฉ ุนู† lipid kinase ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡ ุงู†ู‡ ุจูŠุถูŠู
736
+
737
+ 185
738
+ 00:15:19,450 --> 00:15:23,680
739
+ phosphate groupุนู„ู‰ ุงู„ PIP2 ุงู„ู„ูŠ ู‡ูˆ ุงู„
740
+
741
+ 186
742
+ 00:15:23,680 --> 00:15:28,700
743
+ phosphatidylinositol 4,5-bisphosphate ุจูŠุถูŠู ุนู„ูŠู‡ุง
744
+
745
+ 187
746
+ 00:15:28,700 --> 00:15:34,500
747
+ phosphate group ูˆ ุจุชุชุญูˆู„ ุฅู„ู‰ PIP3 phosphatidyl 3,4
748
+
749
+ 188
750
+ 00:15:34,500 --> 00:15:39,500
751
+ ,5-triphosphate ุงู„ุงู† ุงู„ phosphorylation ู„ู‡ุฐุง
752
+
753
+ 189
754
+ 00:15:39,500 --> 00:15:47,380
755
+ ุงู„ู„ูŠุจุฏ ู‡ุฐุง ุจูŠุนู…ู„ recruitment ู„ุฅู† ุงู„ PDK1 phospho
756
+
757
+ 190
758
+ 00:15:47,870 --> 00:15:53,510
759
+ Inocytide-dependent protein kinase ูˆ ๏ฟฝ๏ฟฝูŠุถู‹ุง ุจูŠุนู…ู„
760
+
761
+ 191
762
+ 00:15:53,510 --> 00:15:59,150
763
+ ู„ูŠ recruitment ู„ protein ุงู„ู„ูŠ ู‡ูˆ AKT ุฃูˆ ูŠุณู…ู‰ ุฃูŠุถู‹ุง
764
+
765
+ 192
766
+ 00:15:59,150 --> 00:16:06,510
767
+ protein kinase B ูŠุจู‚ู‰ recruitment ู„ PDK1 ูˆ ู„AKT ูˆ
768
+
769
+ 193
770
+ 00:16:06,510 --> 00:16:10,230
771
+ ุทุจุนู‹ุง ู‡ูŠุฑุชุจุทู‡ ู…ุน PID3 ูˆ ู‡ู†ููŠ ุนู†ู‡ ุทุจุนู‹ุง close
772
+
773
+ 194
774
+ 00:16:10,230 --> 00:16:13,930
775
+ proximity ูˆ PDK1 ุจู‡ุฐุง ุงู„ุญุงู„ุฉ ู‡ูŠุนู…ู„ ู„ูŠ
776
+
777
+ 195
778
+ 00:16:13,930 --> 00:16:20,830
779
+ phosphorylation ู„AKTูˆุงู„ู€ Phosphorylated Akt ู‡ูŠุตู„ู‘ู‡
780
+
781
+ 196
782
+ 00:16:20,830 --> 00:16:27,690
783
+ Translocation ู„ู„ู†ูƒู„ูŠูˆุณ ูˆ ู‡ูŠุนู…ู„ู‘ูŠ ุจุฑุถู‡ Activation
784
+
785
+ 197
786
+ 00:16:27,690 --> 00:16:34,510
787
+ ู„ู€ Transcription Factors ู…ุฎุชู„ูุฉ ูˆ ุงู„ู„ูŠ ู‡ุชู„ุนุจ ุฏูˆุฑ
788
+
789
+ 198
790
+ 00:16:34,510 --> 00:16:40,710
791
+ ููŠ ุงู„ Regulations ู„ู€ Genes ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ู‡ุฐุง Pathway
792
+
793
+ 199
794
+ 00:16:40,710 --> 00:16:46,420
795
+ ุขุฎุฑ ูˆ ุงู„ู„ูŠ ุจูŠุตู„ู‘ู‡ Activationุนู† ุทุฑูŠู‚ ุงู„ุฑุฃุณ ุฃูŠุถู‹ุง
796
+
797
+ 200
798
+ 00:16:46,420 --> 00:16:50,680
799
+ ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€ Epidermal Growth
800
+
801
+ 201
802
+ 00:16:50,680 --> 00:16:54,640
803
+ Factor Signaling The effect of cell signaling on
804
+
805
+ 202
806
+ 00:16:54,640 --> 00:16:59,700
807
+ cell behavior ูŠุจู‚ู‰ ุงู„ signaling ู…ู…ูƒู† ุจุฑุถู‡ ุชู„ุนุจ ุฏูˆุฑ
808
+
809
+ 203
810
+ 00:16:59,700 --> 00:17:04,500
811
+ ููŠ ุงู„ cell behavior ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ proliferation
812
+
813
+ 204
814
+ 00:17:04,500 --> 00:17:09,140
815
+ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ adhesion of cells invasion motility
816
+
817
+ 205
818
+ 00:17:09,140 --> 00:17:15,310
819
+ ุชู…ุงู… ูƒู„ ู‡ุฐู‡ ุจุฑุถู‡ ู…ู…ูƒู†ุชุชุบูŠุฑ ุนู† ุทุฑูŠู‚ ุงู„ cell
820
+
821
+ 206
822
+ 00:17:15,310 --> 00:17:18,170
823
+ signaling a growth factor signaling can lead to
824
+
825
+ 207
826
+ 00:17:18,170 --> 00:17:22,870
827
+ cell proliferation via signaling to the nucleus in
828
+
829
+ 208
830
+ 00:17:22,870 --> 00:17:27,230
831
+ addition can have effects on cell behavior ุงู„ู„ูŠ ู‡ูˆ
832
+
833
+ 209
834
+ 00:17:27,230 --> 00:17:31,570
835
+ ุงู„ adhesion ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ invasion ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
836
+
837
+ 210
838
+ 00:17:33,670 --> 00:17:38,590
839
+ ู‡ู†ุงุฎุฏ ูƒู…ุซุงู„ ุงู„ุฏูˆุฑ ุงู„ู„ูŠ ุจูŠู„ุนุจู‡ ุงู„ู€ SARC ุงู„ู„ูŠ ุนุจุงุฑุฉ
840
+
841
+ 211
842
+ 00:17:38,590 --> 00:17:42,930
843
+ ุนู† Intracellular Tyrosine Kinase ูˆุงู„ู€ SARC ุฐูƒุฑู†ุงู‡
844
+
845
+ 212
846
+ 00:17:42,930 --> 00:17:47,490
847
+ ููŠ ุงู„ู€ slides ุงู„ุณุงุจู‚ุฉ ูˆูŠู‚ูˆู„ ุฅู† ู‡ูˆ ุถู…ู† ู…ุฌู…ูˆุนุฉ ู…ู†
848
+
849
+ 213
850
+ 00:17:47,490 --> 00:17:53,550
851
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชุญุชูˆูŠ ุนู„ู‰ SH2 ูˆSH3 domains ูŠุจู‚ู‰
852
+
853
+ 214
854
+ 00:17:53,550 --> 00:17:56,870
855
+ ุงู„ู€ SARC plays an important role upon EGF receptor
856
+
857
+ 215
858
+ 00:17:56,870 --> 00:18:01,930
859
+ activation ูŠุจู‚ู‰ ุงู„ู„ูŠ ู‡ูŠุนู…ู„ ุงู„ activation ู„ู€ SARCู‡ูˆ
860
+
861
+ 216
862
+ 00:18:01,930 --> 00:18:06,530
863
+ ุงู„ .. ุงู„ .. ุงู„ activated epidermal growth factor
864
+
865
+ 217
866
+ 00:18:06,530 --> 00:18:11,230
867
+ receptor ูˆ ุจุนุฏ ู‡ูŠูƒ ุงู„ SARC ุฒูŠ ู…ุง ู‚ู„ู†ุง ู„ู‡ ุฃูˆ ุจูŠู„ุนุจ
868
+
869
+ 218
870
+ 00:18:11,230 --> 00:18:14,350
871
+ ุฏูˆุฑ ููŠ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ processes ุฒูŠ cell
872
+
873
+ 219
874
+ 00:18:14,350 --> 00:18:17,450
875
+ proliferation regulation of cell adhesion invasion
876
+
877
+ 220
878
+ 00:18:17,450 --> 00:18:21,310
879
+ and motility SARC is a phosphoprotein which
880
+
881
+ 221
882
+ 00:18:21,310 --> 00:18:27,710
883
+ contains SARC homology domains ูŠุนู†ูŠ ุงู„ SH2 ูˆSH3 ูˆ
884
+
885
+ 222
886
+ 00:18:27,710 --> 00:18:32,900
887
+ ุงู„ู„ูŠ ุนู† ุทุฑูŠู‚ู‡ุง ู‡ูŠุตูŠุฑ ููŠู‡ุง ุงู†ู‡ูŠ activation ู„ู€ SARC
888
+
889
+ 223
890
+ 00:18:32,900 --> 00:18:37,760
891
+ ูˆุจุนุฏูŠู† ุจุงุฑุชุจุงุทู‡ุง ุทุจุนุง ู…ุน ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุนู† ุทุฑูŠู‚
892
+
893
+ 224
894
+ 00:18:37,760 --> 00:18:43,040
895
+ ุงู„ู€SH3 ู‡ุชุนู…ู„ activation ู„ ุงู„ other proteins ุฃูŠุถุง
896
+
897
+ 225
898
+ 00:18:43,040 --> 00:18:48,320
899
+ ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ negative regulatory domain near
900
+
901
+ 226
902
+ 00:18:48,320 --> 00:18:52,700
903
+ the carboxy terminus ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุถุนูˆู†ุง ุจุงู„ figure
904
+
905
+ 227
906
+ 00:18:52,700 --> 00:18:59,180
907
+ ู‡ุงู† ููŠ ุฃู† ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ ุงู„ู€SH3ุนู†
908
+
909
+ 228
910
+ 00:18:59,180 --> 00:19:03,440
911
+ ุงู„ู€ SH3 domain ูˆุนู† ุงู„ู€ kinase ุทุจุนุง domain ุฑุญ ูŠุนู…ู„
912
+
913
+ 229
914
+ 00:19:03,440 --> 00:19:08,600
915
+ ููˆุณููˆุฑูŠู„ูŠุดู† ู„ู€ other proteins ุฃูŠุถุง ุจุงู„ุฅุถุงูุฉ ู„ู€
916
+
917
+ 230
918
+ 00:19:08,600 --> 00:19:12,760
919
+ negative regulatory domain ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‚ุน near the
920
+
921
+ 231
922
+ 00:19:12,760 --> 00:19:16,880
923
+ carboxy terminus ูˆ ุงู„ู„ูŠ ุจูŠุนู…ู„ inhibition ู„ ุงู„
924
+
925
+ 232
926
+ 00:19:16,880 --> 00:19:21,580
927
+ kinase domain the activated kinase ุงู„ู„ูŠ ู‡ูˆ SARC
928
+
929
+ 233
930
+ 00:19:21,580 --> 00:19:26,440
931
+ ู‡ุนู…ู„ ููˆุณููˆุฑูŠู„ูŠุดู† for a wide range of target
932
+
933
+ 234
934
+ 00:19:26,440 --> 00:19:30,350
935
+ proteinsู„ุฃู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ kinase
936
+
937
+ 235
938
+ 00:19:30,350 --> 00:19:32,370
939
+ domain ูˆ ุงู„ kinase domain ู‡ุฐู‡ ู‡ุชุนู…ู„ ู„
940
+
941
+ 236
942
+ 00:19:32,370 --> 00:19:37,610
943
+ phosphorylation ู„ other proteins ูˆ ู…ู† ุงู„ proteins
944
+
945
+ 237
946
+ 00:19:37,610 --> 00:19:42,470
947
+ ุงู„ู„ูŠ ุญุตู„ู‡ุง phosphorylation ูˆ activation ุงู† ู…ุฌู…ูˆุนุฉ
948
+
949
+ 238
950
+ 00:19:42,470 --> 00:19:46,910
951
+ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุฉ ุชุณู…ู‰ focal adhesion proteins ูˆ ู‡ุฐู‡
952
+
953
+ 239
954
+ 00:19:46,910 --> 00:19:51,410
955
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู†ุงุช ู…ู‡ู…ุฉ ู„ ุง๏ฟฝ๏ฟฝ adhesion ูˆ
956
+
957
+ 240
958
+ 00:19:51,410 --> 00:19:56,790
959
+ ุฃูŠุถุง ู„ ุงู„ mortalityุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
960
+
961
+ 241
962
+ 00:19:56,790 --> 00:20:03,310
963
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
964
+
965
+ 242
966
+ 00:20:03,310 --> 00:20:05,310
967
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
968
+
969
+ 243
970
+ 00:20:05,310 --> 00:20:06,810
971
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
972
+
973
+ 244
974
+ 00:20:06,810 --> 00:20:08,390
975
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
976
+
977
+ 245
978
+ 00:20:08,390 --> 00:20:08,630
979
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
980
+
981
+ 246
982
+ 00:20:08,630 --> 00:20:13,290
983
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
984
+
985
+ 247
986
+ 00:20:13,290 --> 00:20:14,050
987
+ ุงู„ูˆุถุน
988
+
989
+ 248
990
+ 00:20:16,570 --> 00:20:21,070
991
+ Expression ู„ุง ู‡ุงุฏู‰ ู„ุจุฑูˆุชูŠู†ุฒ ูˆุตุงุฑ ููŠู‡ ุฃู† assembly
992
+
993
+ 249
994
+ 00:20:21,070 --> 00:20:26,770
995
+ ู„ุง ู‡ุงุฏู‰ ู„ุจุฑูˆุชูŠู†ุฒ ุจู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠุนู…ู„ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„
996
+
997
+ 250
998
+ 00:20:26,770 --> 00:20:30,710
999
+ adherence ู„ ุงู„ุฎู„ูŠุฉ ู‡ุชุฑุชุจุท ุงู„ุฎู„ูŠุฉ ู…ุน ุงู„ extra
1000
+
1001
+ 251
1002
+ 00:20:30,710 --> 00:20:35,930
1003
+ cellular matrixู„ูƒู† ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุง disassembly
1004
+
1005
+ 252
1006
+ 00:20:35,930 --> 00:20:38,970
1007
+ ู„ ุงู„ focal adhesion proteins ู…ุนู†ุงู‡ ุชูˆู‡ุง ุงู„ุฎู„ูŠุฉ
1008
+
1009
+ 253
1010
+ 00:20:38,970 --> 00:20:43,290
1011
+ ู‡ุชุตูŠุฑ motile ูˆู…ู…ูƒู† ูŠููƒูŠ ุงุฑุชุจุงุทู‡ุง ู…ุน ุงู„
1012
+
1013
+ 254
1014
+ 00:20:43,290 --> 00:20:47,830
1015
+ extracellular matrix ูˆ ุชุจุฏุฃ ุจุงู„ุญุฑูƒุฉ ุฃูŠุถุง ุนู†ุง
1016
+
1017
+ 255
1018
+ 00:20:47,830 --> 00:20:50,110
1019
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ู…ู† ุงู„ protein ุงู„ู„ูŠ ู‡ูˆ ุงู„ adapter
1020
+
1021
+ 256
1022
+ 00:20:50,110 --> 00:20:56,490
1023
+ proteinsุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ
1024
+
1025
+ 257
1026
+ 00:20:56,490 --> 00:21:02,510
1027
+ ุงู„ signal transduction ูˆุจุฑุถู‡ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุจุชู„ุนุจ
1028
+
1029
+ 258
1030
+ 00:21:02,510 --> 00:21:08,770
1031
+ ุฏูˆุฑ ููŠ ุงู„ cell adhesion ูˆ forming a adhesion
1032
+
1033
+ 259
1034
+ 00:21:08,770 --> 00:21:13,090
1035
+ junction to bind cells within tissues together
1036
+
1037
+ 260
1038
+ 00:21:14,450 --> 00:21:18,710
1039
+ ุฃูŠุถู‹ุง ุจุฑุถู‡ ุงู„ู€ Activated Sarc ูˆุงู„ูƒูŠู†ุงุฒุฏูˆู…ูŠู† ู‡ูŠุนู…ู„
1040
+
1041
+ 261
1042
+ 00:21:18,710 --> 00:21:22,550
1043
+ ุจุฑุถู‡ Phosphorylation ู„ู€ Transcription Factors
1044
+
1045
+ 262
1046
+ 00:21:22,550 --> 00:21:27,370
1047
+ ุชู…ุงู…ู‹ุงุŸ ูƒู…ุง ู‚ู„ู†ุง ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุฒ ูŠุนุชุจุฑ Target
1048
+
1049
+ 263
1050
+ 00:21:27,370 --> 00:21:33,530
1051
+ ู„ู„ Activated Kinase ู„ู„ู€ Sarc Protein ุงู„ุขู† ุงู„
1052
+
1053
+ 264
1054
+ 00:21:33,530 --> 00:21:38,290
1055
+ activation of Sarc leads to disassembly of focal
1056
+
1057
+ 265
1058
+ 00:21:38,290 --> 00:21:42,750
1059
+ adhesionsูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุงู† ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง
1060
+
1061
+ 266
1062
+ 00:21:42,750 --> 00:21:45,450
1063
+ disassembly ู„ ุงู„ focal adhesions ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุงูŠุด ููŠ
1064
+
1065
+ 267
1066
+ 00:21:45,450 --> 00:21:49,950
1067
+ ุนู†ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง motility ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰ ุงู„
1068
+
1069
+ 268
1070
+ 00:21:49,950 --> 00:21:53,150
1071
+ activation of SARC leads to disassembly of focal
1072
+
1073
+ 269
1074
+ 00:21:53,150 --> 00:21:57,590
1075
+ adhesions and thereby permits increased motility
1076
+
1077
+ 270
1078
+ 00:21:57,590 --> 00:22:03,090
1079
+ SARC ุฃูŠุถุง regulates cell invasion by inhibiting E
1080
+
1081
+ 271
1082
+ 00:22:03,090 --> 00:22:08,010
1083
+ -cadherin ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„
1084
+
1085
+ 272
1086
+ 00:22:08,010 --> 00:22:13,250
1087
+ chapter ุงู„ุชุงุณุนู„ู…ุง ู†ุญูƒูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ู€
1088
+
1089
+ 273
1090
+ 00:22:13,250 --> 00:22:17,930
1091
+ metastases ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู„ูŠ
1092
+
1093
+ 274
1094
+ 00:22:17,930 --> 00:22:23,570
1095
+ ู‚ู„ู†ุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ ุงู„ู€ oncogenes ูˆ ู‡ู†ุดูˆู ุงู„ุขู† ูƒูŠู
1096
+
1097
+ 275
1098
+ 00:22:23,570 --> 00:22:30,470
1099
+ ู…ู…ูƒู† ุงู„ุชุบูŠุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ููŠ ุงู„ signaling pathway ูƒูŠู
1100
+
1101
+ 276
1102
+ 00:22:30,470 --> 00:22:35,800
1103
+ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ุง oncogenesูˆ ู‡ุฐู‡ ุงู„ู€ oncogenes ุชุฒูŠุฏ
1104
+
1105
+ 277
1106
+ 00:22:35,800 --> 00:22:40,180
1107
+ ููŠ ุงู„ proliferation ู„ู„ุฎู„ุงูŠุง ูˆุชุคุฏูŠ ุฅู„ู‰ cancer ู„ุฃู†ู‡
1108
+
1109
+ 278
1110
+ 00:22:40,180 --> 00:22:43,740
1111
+ ุงุญู†ุง ู‚ู„ู†ุง ุฃู†ู‡ ุจุฏู†ุง ู†ูู‡ู… ุฃูˆู„ ุฅุดูŠ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ
1112
+
1113
+ 279
1114
+ 00:22:43,740 --> 00:22:49,620
1115
+ ุงู„ุฎู„ูŠุฉ ุจุดูƒู„ ุทุจูŠุนูŠ ุนุดุงู† ู†ู‚ุฏุฑ ู†ูู‡ู… ุจุนุฏ ู‡ูŠูƒ ุงู„ุชุบูŠุฑุงุช
1116
+
1117
+ 280
1118
+ 00:22:49,620 --> 00:22:54,360
1119
+ ุงู„ู„ูŠ ุจุชุตูŠุฑ ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancer cancer
1120
+
1121
+ 281
1122
+ 00:22:54,360 --> 00:23:00,190
1123
+ arises from mutations in genesุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน
1124
+
1125
+ 282
1126
+ 00:23:00,190 --> 00:23:05,810
1127
+ ุงุฎุชู„ุงู ุงู„ุซู„ุงุซุฉ ุฃูˆ ุงู„ู…ูˆุช ูˆุฅู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนู…ู„ูŠุงุช
1128
+
1129
+ 283
1130
+ 00:23:05,810 --> 00:23:11,010
1131
+ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุงู„ู€ mutated
1132
+
1133
+ 284
1134
+ 00:23:11,010 --> 00:23:15,990
1135
+ genes that contribute to carcinogenesis ุฅู† ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:23:15,990 --> 00:23:21,020
1139
+ oncogenes ูˆ ุงู„ tumor suppressor genesุจู‡ุฐู‡ ุงู„ู€
1140
+
1141
+ 286
1142
+ 00:23:21,020 --> 00:23:26,720
1143
+ Genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูˆ
1144
+
1145
+ 287
1146
+ 00:23:26,720 --> 00:23:30,820
1147
+ ุงู„ุชู„ุงุชุฉ ุงู„ู„ูŠ ู‡ูˆ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ูˆุทุจุนุง ุงู„ู€
1148
+
1149
+ 288
1150
+ 00:23:30,820 --> 00:23:35,140
1151
+ Oncogenes ุฅุฐุง ุฃุตุบุฑ ููŠ ุนู†ุฏู†ุง Imitation ู„ู€ Oncogenes
1152
+
1153
+ 289
1154
+ 00:23:35,140 --> 00:23:41,910
1155
+ ูู‡ุฐุง ุจูŠุฒูŠุฏู…ู† ุงู„ู€ cell proliferation ูˆุทุจุนุง ุฅุฐุง ูƒุงู†
1156
+
1157
+ 290
1158
+ 00:23:41,910 --> 00:23:44,850
1159
+ ุตุงุฑ ููŠู†ุง mutation ู„ู€ tumor sub-resergenes ูˆุฏู‡ ุงู„ู„ูŠ
1160
+
1161
+ 291
1162
+ 00:23:44,850 --> 00:23:48,990
1163
+ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุจุงู„ุชูุตูŠู„ ููŠ chapter ู„ุงุญู‚ ุงู„ tumor sub
1164
+
1165
+ 292
1166
+ 00:23:48,990 --> 00:23:52,150
1167
+ -resergenes ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง mutation ูˆูู‚ุฏุช ุงู„
1168
+
1169
+ 293
1170
+ 00:23:52,150 --> 00:23:56,410
1171
+ functionูŠุจู‚ู‰ ู‡ุฐุง ุจุฑุถู‡ ู‡ูŠุคุฏูŠ ุฅู„ู‰ cancer ู„ุฃู† ุงู„
1172
+
1173
+ 294
1174
+ 00:23:56,410 --> 00:24:00,170
1175
+ tumor suppressor genes ุจุชู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ cancer
1176
+
1177
+ 295
1178
+ 00:24:00,170 --> 00:24:04,970
1179
+ Oncogene is a mutated gene whose protein product
1180
+
1181
+ 296
1182
+ 00:24:04,970 --> 00:24:10,210
1183
+ is produced in higher quantities ูŠุจู‚ู‰ a mutation
1184
+
1185
+ 297
1186
+ 00:24:10,210 --> 00:24:17,570
1187
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ูƒู…ูŠุฉ ุงู„ protein ุจูŠุชู… ุฅู†ุชุงุฌู‡
1188
+
1189
+ 298
1190
+ 00:24:17,570 --> 00:24:22,240
1191
+ ูˆ ุงู„ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุนู„ุงู‚ุฉููŠ ุงู„ cell
1192
+
1193
+ 299
1194
+ 00:24:22,240 --> 00:24:27,940
1195
+ growth ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฃูˆ ุงู„ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู†
1196
+
1197
+ 300
1198
+ 00:24:27,940 --> 00:24:33,180
1199
+ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ู…ู†ุน ุงู„ apoptosis ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„
1200
+
1201
+ 301
1202
+ 00:24:33,180 --> 00:24:37,260
1203
+ proteins ุงู„ู„ูŠ ู‡ูŠ ุชุนุชุจุฑ anti-apoptotic ูŠุจู‚ู‰ ู„ู†ุง
1204
+
1205
+ 302
1206
+ 00:24:37,260 --> 00:24:44,300
1207
+ ุจูŠุตูŠุฑ ู…ู…ูƒู† ุฒูŠุงุฏุฉ ููŠ ุงู„ quantity ุฃูˆ whose alerted
1208
+
1209
+ 303
1210
+ 00:24:44,300 --> 00:24:49,490
1211
+ product has increased activityูŠุจู‚ู‰ ู…ู…ูƒู† ุชุฒูŠุฏ
1212
+
1213
+ 304
1214
+ 00:24:49,490 --> 00:24:56,130
1215
+ ุงู„ูƒู…ูŠุฉ ุฃูˆ ู…ู…ูƒู† ุชุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ activity ุชู…ุงู…ุŸ ุฒูŠ ู…ุง
1216
+
1217
+ 305
1218
+ 00:24:56,130 --> 00:25:01,590
1219
+ ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ุฃู†ู‡ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
1220
+
1221
+ 306
1222
+ 00:25:01,590 --> 00:25:07,190
1223
+ ู„epidermal growth factor receptor ูˆ ุงู„ mutation
1224
+
1225
+ 307
1226
+ 00:25:07,190 --> 00:25:12,150
1227
+ ู‡ุฐู‡ ุชุฎู„ูŠ ุงู„ receptor ุฏุงูŠู…ุง ูƒูˆู† ููŠ ุนู†ุฏูŠ turn on
1228
+
1229
+ 308
1230
+ 00:25:12,150 --> 00:25:17,270
1231
+ signal ููŠ ุงู„ receptor ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ mutation ุชุคุฏูŠ
1232
+
1233
+ 309
1234
+ 00:25:18,510 --> 00:25:22,910
1235
+ ุงู„ู‰ always on signal ุฒู‰ ู…ุง ู‚ู„ู†ุง ูู‰ ุญุงู„ ุงู„
1236
+
1237
+ 310
1238
+ 00:25:22,910 --> 00:25:25,770
1239
+ reception ู„ูˆ ุตุงุฑ ูู‰ ุนู†ุฏู‰ a mutation ูˆุตู„ู‡
1240
+
1241
+ 311
1242
+ 00:25:25,770 --> 00:25:32,890
1243
+ phosphorylation ูˆุตุงุฑุช ุนู†ุฏู‰ ุงู„ุงุดุงุฑุฉ ุฏุงูŠู…ุง on all
1244
+
1245
+ 312
1246
+ 00:25:32,890 --> 00:25:36,890
1247
+ non-oncogenes are altered forms of normal genes
1248
+
1249
+ 313
1250
+ 00:25:36,890 --> 00:25:43,710
1251
+ ูŠุจู‚ู‰ ุงู„ oncogenes ู‡ู… ุฃุตู„ุง normal genes ุฒู‰ ู…ุง ู‡ู†ุดูˆู
1252
+
1253
+ 314
1254
+ 00:25:43,710 --> 00:25:48,610
1255
+ ุงู„ุฃู† ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉู„ูƒู† ู‡ุฐู‡ ุงู„ู€ Normal Gene ุตุงุฑ ููŠู‡ุง
1256
+
1257
+ 315
1258
+ 00:25:48,610 --> 00:25:56,330
1259
+ mutation ูˆุงุชุญูˆู„ุช ุฅู„ู‰ Oncogene ูˆ ุงู„ู€ Normal Gene
1260
+
1261
+ 316
1262
+ 00:25:56,330 --> 00:26:03,150
1263
+ ุจู†ุณู…ูŠู‡ Proto-Oncogene ูŠุจู‚ู‰ ุงู„ู€ Proto-Oncogene ุฅุฐุง
1264
+
1265
+ 317
1266
+ 00:26:03,150 --> 00:26:08,910
1267
+ ูƒุงู† ุตุงุฑ ููŠู‡ mutation ู‡ูŠุชุญูˆู„ ุฅู„ู‰ Oncogene
1268
+
1269
+ 318
1270
+ 00:26:10,770 --> 00:26:11,830
1271
+ ุนู„ู‰ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ
1272
+
1273
+ 319
1274
+ 00:26:11,830 --> 00:26:12,590
1275
+ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1276
+
1277
+ 320
1278
+ 00:26:12,590 --> 00:26:15,050
1279
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1280
+
1281
+ 321
1282
+ 00:26:15,050 --> 00:26:15,850
1283
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1284
+
1285
+ 322
1286
+ 00:26:15,850 --> 00:26:24,070
1287
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1288
+
1289
+ 323
1290
+ 00:26:24,070 --> 00:26:24,110
1291
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1292
+
1293
+ 324
1294
+ 00:26:24,110 --> 00:26:27,950
1295
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1296
+
1297
+ 325
1298
+ 00:26:27,950 --> 00:26:35,590
1299
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1300
+
1301
+ 326
1302
+ 00:26:35,590 --> 00:26:42,310
1303
+ ุฃูƒุชู…ุงู… ูˆ ุงู„ gene ุงู„ู„ูŠ ู‡ูˆ ุงู„ normal gene ุฃูˆ proto
1304
+
1305
+ 327
1306
+ 00:26:42,310 --> 00:26:47,550
1307
+ -oncogene ุจู†ุญุท ุงู„ู„ูŠ ู‡ูˆ ุฌุงุจ ู„ูŠู‡ C ูŠุจู‚ู‰ C-SARC
1308
+
1309
+ 328
1310
+ 00:26:47,550 --> 00:26:52,490
1311
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ normal cellular gene ุงู„ู„ูŠ ู‡ูˆ
1312
+
1313
+ 329
1314
+ 00:26:52,490 --> 00:26:59,150
1315
+ proto-oncogene ุงู„ุขู† ู‡ุฐุง ุงู„ gene ู„ูˆ ุตุงุฑ ููŠ mutation
1316
+
1317
+ 330
1318
+ 00:26:59,150 --> 00:27:05,580
1319
+ ูˆุงุชุญูˆู„ ุฅู„ู‰ oncogeneูŠุจู‚ู‰ ู…ู…ูƒู† ู†ุถูŠู ู‚ุจู„ู‡ ุงู„ู„ูŠ ู‡ูˆ V
1320
+
1321
+ 331
1322
+ 00:27:05,580 --> 00:27:11,500
1323
+ ุงู„ู€Altered Form Transused by Retroviruses ุงู„ู„ูŠ
1324
+
1325
+ 332
1326
+ 00:27:11,500 --> 00:27:16,440
1327
+ ุจูŠุจู‚ู‰ V-SARC ุงู„ู€V-SARC Sequence Lacks ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
1328
+
1329
+ 333
1330
+ 00:27:16,440 --> 00:27:22,260
1331
+ ูƒู…ุซุงู„ ูƒูŠู ุงู„ู€Proto-Oncogene ูƒูŠู ู…ู…ูƒู† ูŠุชุญูˆู„ ุฅู„ู‰
1332
+
1333
+ 334
1334
+ 00:27:22,260 --> 00:27:28,320
1335
+ Oncogene ุงู„ู€V-SARC Sequence Lacks The Carboxy
1336
+
1337
+ 335
1338
+ 00:27:28,320 --> 00:27:32,400
1339
+ Terminal Negative Regulatory Domainุฃู‡ ู‚ุจู„ ุดูˆูŠุฉ ู„ู…ุง
1340
+
1341
+ 336
1342
+ 00:27:32,400 --> 00:27:36,160
1343
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ุณุงุฑูƒ ู‚ูˆู„ู†ุง ุนู„ู‰ ุงู„ carboxy terminal ููŠ
1344
+
1345
+ 337
1346
+ 00:27:36,160 --> 00:27:41,540
1347
+ ุนู†ุฏู†ุง negative regulatory domain ุงู„ุขู† ุงู„ proto
1348
+
1349
+ 338
1350
+ 00:27:41,540 --> 00:27:44,460
1351
+ -oncogene ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุงุฑูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ normal
1352
+
1353
+ 339
1354
+ 00:27:44,460 --> 00:27:49,560
1355
+ cellular gene ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation ูˆ ุงู„
1356
+
1357
+ 340
1358
+ 00:27:49,560 --> 00:27:55,640
1359
+ mutation ู‡ุฐู‡ ุนู…ู„ุชู„ูŠ deletion ู„ negative regulatory
1360
+
1361
+ 341
1362
+ 00:27:55,640 --> 00:28:01,790
1363
+ domain ูŠุนู†ูŠ ุฃูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ุงู„ู€ SARC ู‡ุฐุง
1364
+
1365
+ 342
1366
+ 00:28:01,790 --> 00:28:08,710
1367
+ ู‡ูŠูƒูˆู† always on ู„ุฃู† ุงู„ domain ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡
1368
+
1369
+ 343
1370
+ 00:28:08,710 --> 00:28:14,090
1371
+ inhibition ู…ุด ู…ูˆุฌูˆุฏ ุทุจุนุง ุฒูŠ ู…ุง ูˆุงุถุญ ุจุงู„ figure ู‡ู†ุง
1372
+
1373
+ 344
1374
+ 00:28:14,090 --> 00:28:19,710
1375
+ ูˆ ุจุงู„ุชุงู„ุช ู‡ูŠุชุญูˆู„ ุฅู„ู‰ onco gene ุจุฌู‡ุฉ ุฏู‡ ุงู„ SARC ุฒูŠ
1376
+
1377
+ 345
1378
+ 00:28:19,710 --> 00:28:24,090
1379
+ ู…ุง ูƒู†ุง ุจูŠุญุชูˆูŠ ุนู„ู‰ SH2 ูˆSH3 ูˆููŠ ุนู†ุฏู†ุง ุงู„ kinase
1380
+
1381
+ 346
1382
+ 00:28:24,090 --> 00:28:29,900
1383
+ domainูˆููŠ ุนู†ุฏู†ุง ุงู„ domain ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ negative
1384
+
1385
+ 347
1386
+ 00:28:29,900 --> 00:28:35,880
1387
+ regulatory domain ูŠุจู‚ู‰ ู‡ุงู† ุนู†ุฏู†ุง active domain ูˆ
1388
+
1389
+ 348
1390
+ 00:28:35,880 --> 00:28:38,540
1391
+ ุงู„ kinase domain ู‡ุงู† ู…ู…ูƒู† ูŠุนู…ู„ phosphorylation ู„
1392
+
1393
+ 349
1394
+ 00:28:38,540 --> 00:28:43,160
1395
+ other proteins ู„ูƒู† ู„ูˆ ุงุฑุชุจุท ุนู†ุฏู†ุง ุงู„ negative
1396
+
1397
+ 350
1398
+ 00:28:43,160 --> 00:28:47,080
1399
+ regulatory domain ู…ุน ุงู„ SH2 ู‡ุฐุง ู‡ูŠุชุญูˆู„ ุฅู„ู‰
1400
+
1401
+ 351
1402
+ 00:28:47,080 --> 00:28:53,420
1403
+ inactive sarb ูŠุจู‚ู‰ ู‡ุฐุง ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ proto-oncogene
1404
+
1405
+ 352
1406
+ 00:28:54,090 --> 00:28:58,670
1407
+ ุฃูˆ ุงู„ู€ Normal Cellular Gene ุงู„ุขู† ู…ู…ูƒู† ู‡ุฐุง ูŠุชุญูˆู„
1408
+
1409
+ 353
1410
+ 00:28:58,670 --> 00:29:03,910
1411
+ ุฅู„ู‰ Oncogene ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Normal ุจู†ู‚ูˆู„
1412
+
1413
+ 354
1414
+ 00:29:03,910 --> 00:29:09,990
1415
+ ุนู„ูŠู‡ C-SARC ูˆ ุงู„ Oncogene ุจู†ุณู…ูŠู‡ V-SARC ุจู‡ุฐุง
1416
+
1417
+ 355
1418
+ 00:29:09,990 --> 00:29:15,210
1419
+ ุงู„ุญุงู„ุฉ ุงู†ู‡ ุตุงุฑ deletion ู„ู€ Negative Regulatory
1420
+
1421
+ 356
1422
+ 00:29:15,210 --> 00:29:19,270
1423
+ Domain ุชุงุฑูˆุฒูŠู† ุงู„ู€ Negative Regulatory Domain ู‡ุฐูŠ
1424
+
1425
+ 357
1426
+ 00:29:19,270 --> 00:29:24,350
1427
+ ุตุงุฑ ู„ู‡ุง deletion ุจุทู„ุช ู…ูˆุฌูˆุฏุฉุชู…ุงู… ูˆุจุงู„ุชุงู„ูŠ ูŠุจู‚ู‰ ู…ุด
1428
+
1429
+ 358
1430
+ 00:29:24,350 --> 00:29:28,990
1431
+ ู‡ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ negative regulation ู„ ุงู„ SARC
1432
+
1433
+ 359
1434
+ 00:29:28,990 --> 00:29:33,570
1435
+ ูˆู‡ูŠุณุชู…ุฑ ุงู„ SARC ููŠ ุงู„ activation ูˆ ุงู„
1436
+
1437
+ 360
1438
+ 00:29:33,570 --> 00:29:37,510
1439
+ phosphorylation ู„ ุงู„ other proteins ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู†
1440
+
1441
+ 361
1442
+ 00:29:37,510 --> 00:29:43,410
1443
+ ููŠ ุนู†ุฏูŠ always on signal ูˆู‡ู†ุง ุงู† ุงู„ figure ุจูŠูˆุถุญ
1444
+
1445
+ 362
1446
+ 00:29:43,410 --> 00:29:48,850
1447
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ mutations ููŠ
1448
+
1449
+ 363
1450
+ 00:29:48,850 --> 00:29:55,040
1451
+ genes ู…ุฎุชู„ูุฉ ูˆุงู„ู†ุงุชุฌ ู„ุฃูˆ ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ุงู„ proteins
1452
+
1453
+ 364
1454
+ 00:29:55,040 --> 00:29:59,640
1455
+ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ ุชูƒูˆูŠู† onco
1456
+
1457
+ 365
1458
+ 00:29:59,640 --> 00:30:04,080
1459
+ genes ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ูŠุนู†ูŠ ุงู†ู†ุง
1460
+
1461
+ 366
1462
+ 00:30:04,080 --> 00:30:07,340
1463
+ ู‡ุงู† ุจุงู„ุจุฏุงูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ growth factor gene
1464
+
1465
+ 367
1466
+ 00:30:07,340 --> 00:30:12,800
1467
+ amplification ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ growth factor gene ู‡ุฐุง
1468
+
1469
+ 368
1470
+ 00:30:12,800 --> 00:30:15,600
1471
+ ูŠุตู„ ู„ู‡ amplification ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง ุฅู†ุชุงุฌ
1472
+
1473
+ 369
1474
+ 00:30:15,600 --> 00:30:21,720
1475
+ ู„ูƒู…ูŠุงุช ุฃูƒุจุฑ ู…ู† ุงู„ growth factors ู…ู…ูƒู† ุฃูŠุถุงูŠุตูŠุฑ ููŠู‡
1476
+
1477
+ 370
1478
+ 00:30:21,720 --> 00:30:26,200
1479
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ amplification ู„ ุงู„ receptor gene
1480
+
1481
+ 371
1482
+ 00:30:26,200 --> 00:30:32,410
1483
+ ุชู…ุงู…ุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ receptorsูˆุฅุฐุง
1484
+
1485
+ 372
1486
+ 00:30:32,410 --> 00:30:36,150
1487
+ ูƒุงู† ุฒูŠุงุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ู€ Receptors ูŠุจู‚ู‰ ุญุชู‰ ู…ุน ูˆุฌูˆุฏ
1488
+
1489
+ 373
1490
+ 00:30:36,150 --> 00:30:40,610
1491
+ ู…ู…ูƒู† ุนุฏุฏ ู‚ู„ูŠู„ ู…ู† ุงู„ู€ Growth Factors ุฅู„ุง ุฅู†ู‡ ู‡ุฐุง
1492
+
1493
+ 374
1494
+ 00:30:40,610 --> 00:30:45,490
1495
+ ุงู„ุนุฏุฏ ุงู„ู‚ู„ูŠู„ ู…ู…ูƒู† ูŠุนู…ู„ูŠ Signaling ูŠุจู‚ู‰ Receptor
1496
+
1497
+ 375
1498
+ 00:30:45,490 --> 00:30:48,510
1499
+ gene amplification ุฃูˆ ู…ู…ูƒู† ุฃูŠุถุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1500
+
1501
+ 376
1502
+ 00:30:48,510 --> 00:30:53,470
1503
+ mutation ููŠ ุงู„ Receptors ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ
1504
+
1505
+ 377
1506
+ 00:30:53,470 --> 00:30:57,490
1507
+ ู…ู…ูƒู† ูŠุตูŠุฑ mutation ููŠ ุงู„ Receptor ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ
1508
+
1509
+ 378
1510
+ 00:30:57,490 --> 00:31:03,270
1511
+ always onreceptor ุฃูŠุถู‹ุง signaling molecule locked
1512
+
1513
+ 379
1514
+ 00:31:03,270 --> 00:31:08,970
1515
+ in active configuration ุชู…ุงู… ูŠุจู‚ู‰ ู…ู…ูƒู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง
1516
+
1517
+ 380
1518
+ 00:31:08,970 --> 00:31:11,750
1519
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุจุนุฏ ู‡ูŠูƒ ุฃูƒุชุฑ ู…ู† ุงู„ุจุฑูˆุชูŠู† ุจูŠู„ุนุจ ุฏูˆุฑ
1520
+
1521
+ 381
1522
+ 00:31:11,750 --> 00:31:15,470
1523
+ ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ุฑุฃุณ ูˆููŠ ุนู†ุฏู†ุง ุงู„ุฑุงู ูˆููŠ ุนู†ุฏู†ุง ุงู„
1524
+
1525
+ 382
1526
+ 00:31:15,470 --> 00:31:20,230
1527
+ map ุงู„ู„ูŠ ู‡ูˆ kinase cascade ูŠุจู‚ู‰ ู‡ุงู† ู…ู…ูƒู† ูˆุงุญุฏ ู…ู†
1528
+
1529
+ 383
1530
+ 00:31:20,230 --> 00:31:25,510
1531
+ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุชู…ุงู… ูŠุตูŠุฑ ููŠู‡ mutation ูˆูŠุตูŠุฑ always
1532
+
1533
+ 384
1534
+ 00:31:25,510 --> 00:31:31,030
1535
+ on ูˆู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ุฑุฃุณ ูˆุนู†ุฏู†ุงุงู„ุฑุงู ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู†
1536
+
1537
+ 385
1538
+ 00:31:31,030 --> 00:31:38,430
1539
+ ู‡ู†ุง ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ deletion ุงูˆ ุงู„ methylation ู„ ุงู„
1540
+
1541
+ 386
1542
+ 00:31:38,430 --> 00:31:42,810
1543
+ tumor suppressor genes deletion or methylation
1544
+
1545
+ 387
1546
+ 00:31:42,810 --> 00:31:45,430
1547
+ induce silencing of genes encoding negative
1548
+
1549
+ 388
1550
+ 00:31:45,430 --> 00:31:49,110
1551
+ regulators ุชู…ุงู… ูŠู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ tumor suppressor
1552
+
1553
+ 389
1554
+ 00:31:49,110 --> 00:31:55,020
1555
+ genes ู‡ุฐู‡ ูŠุตูŠุฑ ููŠู‡ุง ู…ุดูƒู„ุฉู…ู…ูƒู† ุฃูŠุถู‹ุง ูŠุตูŠุฑ ุนู†ุฏู†ุง
1556
+
1557
+ 390
1558
+ 00:31:55,020 --> 00:31:59,080
1559
+ ู…ุดูƒู„ุฉ ุจุงู„ู€ transcription factor ู†ูุณู‡ ุฅุฐุง ุงู„ู€
1560
+
1561
+ 391
1562
+ 00:31:59,080 --> 00:32:03,040
1563
+ transcription factor gene amplification ุฃูˆ ุงู„ู€
1564
+
1565
+ 392
1566
+ 00:32:03,040 --> 00:32:07,580
1567
+ translocation ุฃุบู„ุจู‡ุง ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ expression
1568
+
1569
+ 393
1570
+ 00:32:07,580 --> 00:32:11,880
1571
+ ู„ู€ transcription factors ุฃูˆ ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„
1572
+
1573
+ 394
1574
+ 00:32:11,880 --> 00:32:14,360
1575
+ translocation ู„ู€ transcription factor ุงู„ู„ูŠ ู‡ูˆ
1576
+
1577
+ 395
1578
+ 00:32:14,360 --> 00:32:18,220
1579
+ ุงู†ุชู‚ุงู„ ู„ู€ transcription factor ู…ู† ุงู„ู€ cytoplasm
1580
+
1581
+ 396
1582
+ 00:32:18,220 --> 00:32:21,980
1583
+ ุฅู„ู‰ุฃู†ูˆุงุน ุทุจุนุง ู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ target
1584
+
1585
+ 397
1586
+ 00:32:21,980 --> 00:32:25,580
1587
+ gene activation for example cell cycle regulatory
1588
+
1589
+ 398
1590
+ 00:32:25,580 --> 00:32:29,540
1591
+ gene cycling ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู†ุงู‚ู„ู‡ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„
1592
+
1593
+ 399
1594
+ 00:32:29,540 --> 00:32:34,800
1595
+ cell cycle ูˆ ุงู„ proliferation ู„ ุงู„ุฎู„ูŠุฉ ุทูŠุจ ู‡ู†ุจุฏุฃ
1596
+
1597
+ 400
1598
+ 00:32:34,800 --> 00:32:40,660
1599
+ ุงู„ุขู† ุจุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ุฎุทูˆุงุช
1600
+
1601
+ 401
1602
+ 00:32:40,660 --> 00:32:46,260
1603
+ ุงู„ู…ุฎุชู„ูุฉ ูˆ ู‡ู†ุจุฏุฃ ุจ growth factors protein product
1604
+
1605
+ 402
1606
+ 00:32:46,260 --> 00:32:52,100
1607
+ of viral oncogeneV-SYS ู‡ูˆ ุตูŠุทูˆุจู„ุงุฒู…ูŠูƒ ูˆูƒุงู† ูˆุฌุฏู‹ุง
1608
+
1609
+ 403
1610
+ 00:32:52,100 --> 00:32:59,020
1611
+ ุชูƒูˆู† ุชุฑู†ูƒุงุชูŠุฉ ุชุฌุงุฑุจ ุชู†ุฒูŠู ุนุงู…ู‹ุง ู…ุญูุธุฉ ุจุทูˆู„ุงุช ุชุณู…ู‰
1612
+
1613
+ 404
1614
+ 00:32:59,020 --> 00:33:04,960
1615
+ ุจุทูˆู„ุฉ ุชู†ุฒูŠู ุนุงู…ุฉ ุชู…ุงู… ูŠุจู‚ู‰ ุนู†ุฏู†ุง ุงู„ proto-oncogen
1616
+
1617
+ 405
1618
+ 00:33:04,960 --> 00:33:14,580
1619
+ ู„ ุงู„-SYS gene ุงู„ู„ูŠ ู‡ูˆ ุฃูŠุถู‹ุง ูŠุณู…ู‰ ุจุทูˆู„ุฉ ุชู†ุฒูŠู ุนุงู…ุฉ
1620
+
1621
+ 406
1622
+ 00:33:16,820 --> 00:33:22,580
1623
+ ูŠุจู‚ู‰ CSS ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Normal Cellular Gene ูˆุฒูŠ
1624
+
1625
+ 407
1626
+ 00:33:22,580 --> 00:33:27,740
1627
+ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ ูŠุณู…ู‰ ุฃูŠุถู‹ุง Proto-Oncogene ุงู„ุขู† ุงู„ู€
1628
+
1629
+ 408
1630
+ 00:33:27,740 --> 00:33:31,220
1631
+ Oncogene ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุงุฑุน ุงู„ู€ Oncogene ุงู„ู€ Vcess
1632
+
1633
+ 409
1634
+ 00:33:31,220 --> 00:33:38,800
1635
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู†ุณุฎุฉ ุงู„ู„ูŠ Mutated ู„ู„ู€ Normal Gene ูˆุงู„ู„ูŠ
1636
+
1637
+ 410
1638
+ 00:33:38,800 --> 00:33:48,880
1639
+ ุณู…ู†ุงู‡ุง Vcess ุงู„ู€ Vcessุงู„ product ู„ ุงู„ Vcess ุนุจุงุฑุฉ
1640
+
1641
+ 411
1642
+ 00:33:48,880 --> 00:33:54,280
1643
+ ุนู† truncated protein truncated version of a growth
1644
+
1645
+ 412
1646
+ 00:33:54,280 --> 00:33:58,160
1647
+ factor ูŠุจู‚ู‰ a growth factor ู„ูƒู† ู…ุด ูƒุงู…ู„ ุจู‚ู‰ ุตุงุฑ
1648
+
1649
+ 413
1650
+ 00:33:58,160 --> 00:34:05,120
1651
+ ููŠุงู†ุง ุฃุซู†ุงุก ุนู…ู„ูŠุฉ ุงู„ translation ูƒุงู† ููŠุงู†ุง ุงู„ู„ูŠ ู‡ูˆ
1652
+
1653
+ 414
1654
+ 00:34:05,120 --> 00:34:10,260
1655
+ stop codon ูˆุจุงู„ุชุงู„ูŠ ุงู„ protein ุงู„ู„ูŠ ู†ุงุชุฌุงู„ุจุฑูˆุชูŠู†
1656
+
1657
+ 415
1658
+ 00:34:10,260 --> 00:34:14,260
1659
+ ู…ุด ูƒุงู…ู„ ุงู„ุงู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ platelet
1660
+
1661
+ 416
1662
+ 00:34:14,260 --> 00:34:18,900
1663
+ derived growth factor ูŠุนุชุจุฑ component of a wound
1664
+
1665
+ 417
1666
+ 00:34:18,900 --> 00:34:26,000
1667
+ response ูˆ ุงู„ูˆุธูŠูุฉ ุงู„ุทุจูŠุนูŠุฉ ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู‡ูˆ
1668
+
1669
+ 418
1670
+ 00:34:26,000 --> 00:34:30,380
1671
+ stimulation ู„epithelial cells around the wound
1672
+
1673
+ 419
1674
+ 00:34:30,380 --> 00:34:35,560
1675
+ edge to proliferate and repair the damageููŠ ุญุงู„
1676
+
1677
+ 420
1678
+ 00:34:35,560 --> 00:34:40,860
1679
+ ุตุงุฑ ููŠ ุนู†ุง ุฌุฑุญ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุง release ู„ู€platelet
1680
+
1681
+ 421
1682
+ 00:34:40,860 --> 00:34:45,660
1683
+ -derived growth factor ูˆู‡ุฐุง ู‡ูŠุนู…ู„ stimulation
1684
+
1685
+ 422
1686
+ 00:34:45,660 --> 00:34:51,240
1687
+ ู„ู„ู€epithelial cells to proliferate ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ
1688
+
1689
+ 423
1690
+ 00:34:51,240 --> 00:34:56,720
1691
+ ููŠ ุนู†ุง repair ู„ู€damage ุงู„ู„ูŠ ุตุงุฑ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูˆุธูŠูุฉ
1692
+
1693
+ 424
1694
+ 00:34:56,720 --> 00:35:02,260
1695
+ ุงู„ุทุจูŠุนูŠุฉ ุงู„ู„ูŠ ุจุชุตูŠุฑุฅู†ู‡ ุงู„ุจุฑูˆุชูŠู† ุงู„ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ูˆ
1696
+
1697
+ 425
1698
+ 00:35:02,260 --> 00:35:09,580
1699
+ ุงู„ู€ C-Cys ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ BDGF ุจูŠุณู„ู‡ release ุฎุงุฑุฌ
1700
+
1701
+ 426
1702
+ 00:35:09,580 --> 00:35:15,400
1703
+ ุงู„ุฎู„ูŠุฉ ุนุดุงู† ูŠู‚ูˆู… ุจูˆุธูŠูุชู‡ ูˆู‡ูŠ ุงู„ู€ proliferation ูˆ
1704
+
1705
+ 427
1706
+ 00:35:15,400 --> 00:35:20,020
1707
+ ุงู„ repair ููŠ ุญุงู„ ูˆุฌูˆุฏ ุฌุฑุญ ุทูŠุจ ุงู„ุขู† ู„ู€ Truncated
1708
+
1709
+ 428
1710
+ 00:35:20,020 --> 00:35:27,830
1711
+ ุจุฑูˆุชูŠู†ู‡ุฐุง ู…ูˆุฌูˆุฏ ููŠ .. ุฒูŠ ู…ุง ุญูƒูŠู†ุง ููŠ ุงู„ู€Cytoplasm
1712
+
1713
+ 429
1714
+ 00:35:27,830 --> 00:35:31,570
1715
+ ูŠุจู‚ู‰ ุงู„ .. ุงู„ .. ุงู„ Vesis ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
1716
+
1717
+ 430
1718
+ 00:35:31,570 --> 00:35:36,370
1719
+ Cytoplasmic ูˆ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง Truncated Version The
1720
+
1721
+ 431
1722
+ 00:35:36,370 --> 00:35:39,770
1723
+ significance of the oncogenic form maybe .. ุงู„ุขู†
1724
+
1725
+ 432
1726
+ 00:35:39,770 --> 00:35:43,510
1727
+ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ุจู‡ุฐุง ุงู„ .. ุงู„ Mutated Form ุฃูˆ ุงู„
1728
+
1729
+ 433
1730
+ 00:35:43,510 --> 00:35:48,710
1731
+ Truncated Version of the Growth FactorุŸ ุฃูˆู„ ุฅุดูŠุŒ
1732
+
1733
+ 434
1734
+ 00:35:48,710 --> 00:35:53,140
1735
+ it's a parent locationุงู„ู„ูŠ ู‡ูˆ ู…ูˆู‚ุนู‡ุงุŒ ู…ูˆู‚ุน ู‡ุฐุง
1736
+
1737
+ 435
1738
+ 00:35:53,140 --> 00:35:59,880
1739
+ ุงู„ุจุฑูˆุชูŠู† ุงู„ุขู† ุงู„ุฃุตู„ ุงู„ุจุฑูˆุชูŠู† ุงู„ุทุจูŠุนูŠ ู‡ูˆ Secretary
1740
+
1741
+ 436
1742
+ 00:35:59,880 --> 00:36:04,100
1743
+ Protein ูˆู‡ูˆ ุจูŠุณู„ู‡ Release ุฅู„ู‰ ุฎุงุฑุฌ ุงู„ุฎู„ูŠุฉ ูˆุฒูŠ ู…ุง
1744
+
1745
+ 437
1746
+ 00:36:04,100 --> 00:36:07,380
1747
+ ู‚ู„ู†ุง ุจูŠุนู…ู„ุŒ ุจูŠุฑุชุจุท ู…ุน ุงู„ุฎู„ุงูŠุง ูˆุจูŠุนู…ู„ stimulation
1748
+
1749
+ 438
1750
+ 00:36:07,380 --> 00:36:12,980
1751
+ ู„ุฎู„ุงูŠุง ูˆ proliferation ูˆุนุดุงู† ูŠุตูŠุฑ ุงู„ repair ู„ูƒู†
1752
+
1753
+ 439
1754
+ 00:36:12,980 --> 00:36:16,800
1755
+ ู‡ุฐู‡ ุงู„ู€ Mutated Form Cytoplasmic ู…ูˆุฌูˆุฏุฉ ููŠ
1756
+
1757
+ 440
1758
+ 00:36:16,800 --> 00:36:22,420
1759
+ ุงู„ู€Cytoplasm ูˆู…ุงุตู„ู‡ุงุด Secretionู‡ุฐู‡ ุฃูˆู„ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ
1760
+
1761
+ 441
1762
+ 00:36:22,420 --> 00:36:27,600
1763
+ ู‡ูŠ ุงู„ู€ apparent location ุฃู†ู‡ ู…ูƒุงู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู…ุด
1764
+
1765
+ 442
1766
+ 00:36:27,600 --> 00:36:36,520
1767
+ ุทุจูŠุนูŠ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชุงู†ูŠุฉ ุฃู†ู‡ ุงู„ activation ุงู„ู„ูŠ ู‡ูŠุตูŠุฑ
1768
+
1769
+ 443
1770
+ 00:36:36,520 --> 00:36:43,560
1771
+ ู„ู‡ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ ุทุจูŠุนูŠ the
1772
+
1773
+ 444
1774
+ 00:36:43,560 --> 00:36:47,280
1775
+ subsequent activation of the PDGF signal pathway
1776
+
1777
+ 445
1778
+ 00:36:47,280 --> 00:36:52,440
1779
+ at inappropriate timesุงู„ู…ูุฑูˆุถ ุงู…ุชู‰ ูŠุตูŠุฑ activation
1780
+
1781
+ 446
1782
+ 00:36:52,440 --> 00:36:57,960
1783
+ ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุญุงู„ ูˆุฌูˆุฏ wound ุนุดุงู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ุง
1784
+
1785
+ 447
1786
+ 00:36:57,960 --> 00:37:03,870
1787
+ repair ุชู…ุงู… ูŠุจู‚ู‰ ููŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉู‡ูŠุตูŠุฑ ุจุฑุถู‡ ููŠ
1788
+
1789
+ 448
1790
+ 00:37:03,870 --> 00:37:08,130
1791
+ ุนู†ุฏู†ุง activation ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ
1792
+
1793
+ 449
1794
+ 00:37:08,130 --> 00:37:11,510
1795
+ ุทุจูŠุนูŠุŒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุงู† ุงู„ุบูŠุฑ
1796
+
1797
+ 450
1798
+ 00:37:11,510 --> 00:37:18,150
1799
+ ุทุจูŠุนูŠ ูˆ ู‡ูŠุตู„ู‡ activation ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ ุทุจูŠุนูŠ ูˆ
1800
+
1801
+ 451
1802
+ 00:37:18,150 --> 00:37:24,670
1803
+ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ a unregulated growth
1804
+
1805
+ 452
1806
+ 00:37:24,950 --> 00:37:28,050
1807
+ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ู€
1808
+
1809
+ 453
1810
+ 00:37:28,050 --> 00:37:32,090
1811
+ Receptors ู…ู…ูƒู† ุงู„ู…ุดูƒู„ุฉ ุชุตูŠุฑ ููŠ ุงู„ู€ Growth Factor
1812
+
1813
+ 454
1814
+ 00:37:32,090 --> 00:37:40,390
1815
+ Receptors ูˆููŠ ุนู†ุฏู†ุง ู…ุซู„ู‹ุง ุงู„ู€ Oncogene VERBB
1816
+
1817
+ 455
1818
+ 00:37:40,390 --> 00:37:49,500
1819
+ ูˆุงุฎุชุตุงุฑู‹ุง ุงู„ู€ Avian Arthroplastosis Leukemiaูƒุงู†
1820
+
1821
+ 456
1822
+ 00:37:49,500 --> 00:37:53,780
1823
+ ุงูƒุชุดุงูู‹ุง ู…ู† ุงู„ููŠุฑูˆุณ ุงู„ู„ูˆูƒูŠู…ูŠุฉ ุงู„ู€ Avian
1824
+
1825
+ 457
1826
+ 00:37:53,780 --> 00:37:58,220
1827
+ Erythroplastosis ุทูŠุจ
1828
+
1829
+ 458
1830
+ 00:37:58,220 --> 00:38:04,840
1831
+ ุงู„ุงู†ู‡ุงู„ ุจุฑุถู‡ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุทุจุนู‹ุง ุงู„ ุงู„ุงู†ูƒูˆุฌูŠู†ูŠูƒ
1832
+
1833
+ 459
1834
+ 00:38:04,840 --> 00:38:09,000
1835
+ ููŠุฑุฌูŠู† ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑุถู‡ ุงู„ู€ truncated form of the
1836
+
1837
+ 460
1838
+ 00:38:09,000 --> 00:38:12,380
1839
+ epidermal growth factor receptor ุจุญูŠุซ ููŠ ุนู†ุฏู†ุง
1840
+
1841
+ 461
1842
+ 00:38:12,380 --> 00:38:17,050
1843
+ mutation ููŠ ุงู„ receptor ุงู„ gene receptorูˆุงู„ู„ูŠ
1844
+
1845
+ 462
1846
+ 00:38:17,050 --> 00:38:22,510
1847
+ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู† ุจุฑุถู‡ truncated ู†ุงู‚ุต ู…ู‚ุทูˆุน ุทูŠุจุŒ
1848
+
1849
+ 463
1850
+ 00:38:22,510 --> 00:38:27,330
1851
+ ุงู„ุขู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ุงู„ู€ Extracellular domain is
1852
+
1853
+ 464
1854
+ 00:38:27,330 --> 00:38:33,350
1855
+ deleted ูŠุจู‚ู‰ ูุด ุฃู†ู‡ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ Extracellular
1856
+
1857
+ 465
1858
+ 00:38:33,350 --> 00:38:36,530
1859
+ domain ููƒูŠููŠู† ู„ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ Epidermal Growth
1860
+
1861
+ 466
1862
+ 00:38:36,530 --> 00:38:40,050
1863
+ Factor Receptor ูˆู‚ูˆู„ู†ุง ููŠ ุนู†ุฏู†ุง ุงู„ู€ Extracellular
1864
+
1865
+ 467
1866
+ 00:38:40,050 --> 00:38:43,130
1867
+ domain ููŠ ุนู†ุฏู†ุง ุงู„ู€ Transmembrane ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€
1868
+
1869
+ 468
1870
+ 00:38:43,130 --> 00:38:49,130
1871
+ Cytoplasmic domainุงู„ุขู† ููŠ ุญุงู„ ุงู„ู€ Mutated Gene
1872
+
1873
+ 469
1874
+ 00:38:49,130 --> 00:38:53,250
1875
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ VERBB ุญูŠู†ุชูˆุฌ ุนู†ุฏู†ุง Truncated Protein
1876
+
1877
+ 470
1878
+ 00:38:53,250 --> 00:38:57,670
1879
+ ูˆุงู„ู€ Truncated Protein ู‡ุฐุง ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุงู„ู€
1880
+
1881
+ 471
1882
+ 00:38:57,670 --> 00:39:02,730
1883
+ Extracellular DomainุŒ ู‡ูŠ ู‡ุฐุงุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ receptor
1884
+
1885
+ 472
1886
+ 00:39:02,730 --> 00:39:05,850
1887
+ ุงู„ุทุจูŠุนูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ ู…ูˆุฌูˆุฏ ุงู„ู€
1888
+
1889
+ 473
1890
+ 00:39:05,850 --> 00:39:09,310
1891
+ extracellular domain ู„ูƒู† ููŠ ุงู„ู€ truncated form ู‡ุงู†
1892
+
1893
+ 474
1894
+ 00:39:09,310 --> 00:39:13,370
1895
+ ู…ุด ู…ูˆุฌูˆุฏ ุฃู†ู‡ ุงู„ู€ extracellular domain ุนู†ุฏู†ุง ุฃูŠุถุง
1896
+
1897
+ 475
1898
+ 00:39:13,370 --> 00:39:19,650
1899
+ ููŠู‡ ุจุฑุถู‡ deletion ู„ุฌุฒุก ู…ู† ุงู„ receptor at the C
1900
+
1901
+ 476
1902
+ 00:39:19,650 --> 00:39:27,110
1903
+ terminal end ูˆู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ุจูŠุคุฏูŠ ุฅู„ู‰ activation of
1904
+
1905
+ 477
1906
+ 00:39:27,110 --> 00:39:34,120
1907
+ the receptor withoutLigand binding ุชู…ุงู… ุจูŠุฌูŠ ุงู„
1908
+
1909
+ 478
1910
+ 00:39:34,120 --> 00:39:37,200
1911
+ product ุงู„ู†ู‡ุงุฆูŠ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุฃู†ู‡ ู…ุงููŠุด ุงู„ู„ูŠ ู‡ูˆ
1912
+
1913
+ 479
1914
+ 00:39:37,200 --> 00:39:41,280
1915
+ Ligand binding ุฏู…ุงุบ ูˆููŠู†ุง a truncation at ุงู„ูˆ
1916
+
1917
+ 480
1918
+ 00:39:41,280 --> 00:39:48,700
1919
+ carboxyl terminus ูˆ ู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนุง ุฅู„ู‰ always on
1920
+
1921
+ 481
1922
+ 00:39:48,700 --> 00:39:55,660
1923
+ active receptor ูˆ ุทุจุนุง activation ู„ other proteins
1924
+
1925
+ 482
1926
+ 00:39:55,660 --> 00:40:03,550
1927
+ ุงู„ู„ูŠ ู‡ูˆ always on signalูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„
1928
+
1929
+ 483
1930
+ 00:40:03,550 --> 00:40:09,510
1931
+ receptor ุงู„ู„ูŠ ู‚ุฏุช ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ู‰ ู…ุดูƒู„ุฉ ููŠ ุงู„ extra
1932
+
1933
+ 484
1934
+ 00:40:09,510 --> 00:40:13,010
1935
+ cellular domain ุฃูˆ ุนุฏู… ูˆุฌูˆุฏ extra cellular domain
1936
+
1937
+ 485
1938
+ 00:40:13,010 --> 00:40:16,070
1939
+ ูˆุจุงู„ุชุงู„ูŠ
1940
+
1941
+ 486
1942
+ 00:40:16,070 --> 00:40:22,210
1943
+ ุงู„ู„ูŠ ู‡ูˆ no ligand binding ุจุฑุถู‡ ูŠุนู†ูŠ ูˆุฌุฏุช ููŠ ุงู„ุนุฏูŠุฏ
1944
+
1945
+ 487
1946
+ 00:40:22,210 --> 00:40:27,520
1947
+ ู…ู† ุงู„ human cancersูˆูŠู„ุฌูˆุง ุฅู†ู‡ ููŠ point mutations
1948
+
1949
+ 488
1950
+ 00:40:27,520 --> 00:40:30,620
1951
+ accomplish the same effect of interfering with the
1952
+
1953
+ 489
1954
+ 00:40:30,620 --> 00:40:35,460
1955
+ growth factor binding ูˆุฅูŠู‡ ุงู„ู„ูŠ ู‚ุฏู‘ุช ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰
1956
+
1957
+ 490
1958
+ 00:40:35,460 --> 00:40:42,120
1959
+ always on signal ุดุบู„ ุชุงู†ูŠุฉ ูˆู…ุดูƒู„ุฉ ุฃุฎุฑู‰ ุงู„ู„ูŠ ู…ุชุนู„ู‚ุฉ
1960
+
1961
+ 491
1962
+ 00:40:42,120 --> 00:40:48,810
1963
+ ุจุงู„ receptorู‡ูˆ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ู€ Receptors ุนู„ู‰ ุงู„ุฎู„ูŠุฉ
1964
+
1965
+ 492
1966
+ 00:40:48,810 --> 00:40:54,930
1967
+ increasing the amount of normal CERBB product ูˆู‡ุฐุง
1968
+
1969
+ 493
1970
+ 00:40:54,930 --> 00:41:01,050
1971
+ ุจูŠูƒูˆู† ุจุณุจุจ ุญุฏูˆุซ gene amplification ูˆู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ
1972
+
1973
+ 494
1974
+ 00:41:01,050 --> 00:41:07,530
1975
+ ุงู„ู‡ ุงู„ gene amplification ู…ู…ูƒู† ุชุญุตู„ ุจุณุจุจ ุฎุทุฃ ุฃุซู†ุงุก
1976
+
1977
+ 495
1978
+ 00:41:07,530 --> 00:41:13,370
1979
+ ุงู„ DNA replication ุทุจุนุงู‹ ู‚ุฏ ุงู„ DNA replication ูุฑู‚
1980
+
1981
+ 496
1982
+ 00:41:14,380 --> 00:41:16,760
1983
+ ูŠุจู‚ู‰ ุงู„ุฎุทุฃ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ู€ Gene
1984
+
1985
+ 497
1986
+ 00:41:16,760 --> 00:41:21,380
1987
+ Amplification ูˆุงู„ู€ Gene Amplification ู‡ุฐุง ู…ู…ูƒู†
1988
+
1989
+ 498
1990
+ 00:41:21,380 --> 00:41:27,420
1991
+ ุทุจุนุง ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ ุงู„ู€ Receptors ุงู„ู…ูˆุฌูˆุฏ
1992
+
1993
+ 499
1994
+ 00:41:27,420 --> 00:41:35,360
1995
+ ุนู„ู‰ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐุง ูŠุนู†ูŠ ูƒู…ุซุงู„ ููŠ ุฃู† ุทุจุนุง ุงู„ู€ HER2
1996
+
1997
+ 500
1998
+ 00:41:35,360 --> 00:41:40,060
1999
+ ุชู…ุงู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Receptor ุงู„ู€ HER2 Receptor ุงู„ู„ูŠ
2000
+
2001
+ 501
2002
+ 00:41:40,060 --> 00:41:44,550
2003
+ ุจูŠุตูŠุฑ ู„ู‡ Amplification ููŠ ุญุงู„ุงุช ุงู„ู€ BreastCancer
2004
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/5UPxa-XTrXY_raw.json ADDED
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PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/5UPxa-XTrXY_raw.srt ADDED
@@ -0,0 +1,2004 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,770 --> 00:00:08,230
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุจุฏุฃู†ุง ุงู„ุญุฏูŠุซ ููŠ ุงู„ู…ุญุงุถุฑุฉ
4
+
5
+ 2
6
+ 00:00:08,230 --> 00:00:15,970
7
+ ุงู„ุณุงุจู‚ุฉ ุนู† ุงู„ cell signaling ูˆุฐูƒุฑู†ุง ุงู„ steps
8
+
9
+ 3
10
+ 00:00:15,970 --> 00:00:21,770
11
+ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ุง ุงู„ุฅุดุงุฑุฉ ู…ู† ุฎุงุฑุฌ
12
+
13
+ 4
14
+ 00:00:21,770 --> 00:00:27,370
15
+ ุงู„ุฎู„ูŠุฉ ูˆุตูˆู„ุง ุฅู„ู‰ ุฃู†ูˆุงุน ูˆุญูƒูŠู†ุง ุนู† ุงู„ growth factor
16
+
17
+ 5
18
+ 00:00:27,370 --> 00:00:31,630
19
+ bindingูˆุจุนุฏ ู‡ูŠูƒ ุงู„ู€ dimerization ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู„ู„ู€
20
+
21
+ 6
22
+ 00:00:31,630 --> 00:00:37,290
23
+ receptor ูˆุจุนุฏูŠู† ุงู„ auto phosphorylation ูˆุจุนุฏ ู‡ูŠูƒ
24
+
25
+ 7
26
+ 00:00:37,290 --> 00:00:43,370
27
+ ุงู†ุชู‚ุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุดุงุฑุฉ ุงู„ู„ูŠ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุฏุงุฎู„
28
+
29
+ 8
30
+ 00:00:43,370 --> 00:00:48,790
31
+ ุงู„ุฎู„ูŠุฉ ูˆ ุงู„ activation of intracellular kinase
32
+
33
+ 9
34
+ 00:00:48,790 --> 00:00:55,470
35
+ cascade ุงู„ู„ูŠ ู‡ูˆ ุงู„ map kinase cascade ูˆูˆุตู„ู†ุง ุฅู„ู‰
36
+
37
+ 10
38
+ 00:00:55,470 --> 00:01:01,320
39
+ ุงู„ู†ู‚ุทุฉ Eูˆู‡ูŠ ุงู„ activation of transcription factors
40
+
41
+ 11
42
+ 00:01:01,320 --> 00:01:06,760
43
+ ูŠุจู‚ู‰ ุงู„ุฎุทูˆุฉ E ุงู„ regulation of transcription
44
+
45
+ 12
46
+ 00:01:06,760 --> 00:01:13,100
47
+ factors ูˆุญู†ุงุฎุฏ ูƒ model ู‡ุงู† ุงู„ AP1 transcription
48
+
49
+ 13
50
+ 00:01:13,100 --> 00:01:19,680
51
+ factor ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ ุณุงุจู‚ุง ุงู„ AP1 ูŠุนุชุจุฑ
52
+
53
+ 14
54
+ 00:01:19,680 --> 00:01:25,260
55
+ important target of the MAP-K cascade ูŠุจู‚ู‰ ุจุชุชู… ุงู„
56
+
57
+ 15
58
+ 00:01:25,260 --> 00:01:36,270
59
+ activationู„ู„ู€ AP1 ุนู† ุทุฑูŠู‚ ุงู„ู€ MAPK Cascade ูˆุทุจุนุง
60
+
61
+ 16
62
+ 00:01:36,270 --> 00:01:41,230
63
+ ุจุนุฏ ู…ุง ูŠุชู… ุงู„ activation ู„ ุงู„ AP1 ุจูŠุฑุชุจุทุŒ ุงุญู†ุง
64
+
65
+ 17
66
+ 00:01:41,230 --> 00:01:44,610
67
+ ุจู†ุญูƒูŠ ุนู„ู‰ transcription factor ุจูŠุฑุชุจุท ู…ุน ุงู„ DNA
68
+
69
+ 18
70
+ 00:01:44,610 --> 00:01:48,690
71
+ ุนู„ู‰ ุงู„ response elementูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุนู…ู„ ู„ูŠู‡ ุฑูŠุฌูˆู„ูŠุดู†
72
+
73
+ 19
74
+ 00:01:48,690 --> 00:01:54,430
75
+ ู„ู„ุฅูŠุฌุงุจุฉ ู„ุฌูŠู†ุงุช ู…ุฎุชู„ูุฉ ูˆุฌูŠู†ุงุช ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ู„ู‡ุง
76
+
77
+ 20
78
+ 00:01:54,430 --> 00:02:03,430
79
+ ุนู„ุงู‚ุฉ ุจุงู„ุชู†ู…ูŠุฉ ุจุงู„ู…ุฎุชู„ูุฉ ูˆุฃูŠุถุง ุจุงู„ู…ูˆุช ูˆุงุญุฏ
80
+
81
+ 21
82
+ 00:02:03,430 --> 00:02:06,250
83
+ ู…ู† ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ูŠ ูŠู‚ูˆู… ุงู„ุฌู…ูŠุน ุจุฅุฏุฎุงู„ ุชู†ู…ูŠุฉ ุณู„ุณู„ุฉ
84
+
85
+ 22
86
+ 00:02:06,250 --> 00:02:12,370
87
+ ุจุฑูˆุบุฑูŠุดู† ู‡ูˆ ุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰ ูˆุฅุฏุฎุงู„ ุงู„ุฌูŠู†ุงุช CyclineD
88
+
89
+ 23
90
+ 00:02:13,530 --> 00:02:16,950
91
+ ุจู‡ุฐู‡ ูˆุงุญุฏุฉ ู…ู† ุงู„ู€ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ cell
92
+
93
+ 24
94
+ 00:02:16,950 --> 00:02:24,630
95
+ cycle ูˆ ุงู„ู„ูŠ ุจูŠุชู… ุงู„ activation ุฃูˆ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง
96
+
97
+ 25
98
+ 00:02:24,630 --> 00:02:27,010
99
+ expression ู„ู‡ุฐุง ุงู„ gene ุจุนุฏ ู…ุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
100
+
101
+ 26
102
+ 00:02:27,010 --> 00:02:33,430
103
+ activation ู„ ุงู„ AP1 ูˆ ูŠุฑุชุจุท ุนู„ู‰ ุงู„ promoter ู„ ุงู„
104
+
105
+ 27
106
+ 00:02:33,430 --> 00:02:38,190
107
+ cycling D gene ูˆ ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ cycling D ู„ู…ุง ู†ุญูƒูŠ
108
+
109
+ 28
110
+ 00:02:38,190 --> 00:02:41,250
111
+ ุงู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ cell cycle
112
+
113
+ 29
114
+ 00:02:44,610 --> 00:02:49,330
115
+ ูƒู…ุง ุฐูƒุฑู†ุง ุณุงุจู‚ุงู‹ ุฅู†ู‡ ู„ู€ Transcription Factor
116
+
117
+ 30
118
+ 00:02:49,330 --> 00:02:55,170
119
+ ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุนู…ู„ Regulation ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes
120
+
121
+ 31
122
+ 00:02:55,170 --> 00:03:01,490
123
+ ูˆุนู†ุง ุฃูŠุถุง ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู€ AP1 ูˆุฒูŠ ู…ุง ู‡ูˆ
124
+
125
+ 32
126
+ 00:03:01,490 --> 00:03:06,090
127
+ ูˆุงุถุญ ุจุงู„ู€ Figure ู‡ุงู† ุงู„ู€ AP1 ุจูŠุนู…ู„ Expression
128
+
129
+ 33
130
+ 00:03:06,090 --> 00:03:09,150
131
+ ู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Genes ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ู€
132
+
133
+ 34
134
+ 00:03:09,150 --> 00:03:13,800
135
+ Differentiation ุจุงู„ู€ Cell Cycle Progressionูˆ ุฃูŠุถู‹ุง
136
+
137
+ 35
138
+ 00:03:13,800 --> 00:03:21,920
139
+ ุจุงู„-apoptosis ูˆู‚ุงู„ุช ู‡ู†ุง ุจุฑุถู‡ ุณุงุจู‚ู‹ุง ุฃู† ุงู„ AP1 ู‡ูˆ
140
+
141
+ 36
142
+ 00:03:21,920 --> 00:03:30,310
143
+ ุนุจุงุฑุฉ ุนู† ุงู„-dimer ูˆุนู†ุง familiesุงู„ู„ูŠ ุจุชูƒูˆู† ู‡ุฐู‡ ุงู„
144
+
145
+ 37
146
+ 00:03:30,310 --> 00:03:35,670
147
+ dimers ููŠ ุงู„ AP1 ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ุฌู† ูˆููŠ ุนู†ุฏู†ุง ุงู„ูุณ
148
+
149
+ 38
150
+ 00:03:35,670 --> 00:03:39,490
151
+ ุฃูŠุถุง ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุงู† ุงู†ู‡ ุงูŠุด ุงู„ protein ุงู„ู„ูŠ
152
+
153
+ 39
154
+ 00:03:39,490 --> 00:03:43,630
155
+ ุจูŠุตูŠุฑู„ู‡ ุทุจุนุง ู„ูˆ ุงุญุฏ ู…ูƒูˆู†ุงุช ุงู„ AP1 ุงูŠุด ุงู„ protein
156
+
157
+ 40
158
+ 00:03:43,630 --> 00:03:50,390
159
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑู„ู‡ activation ูˆููŠ ุงูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุง ูŠุจู‚ู‰
160
+
161
+ 41
162
+ 00:03:50,390 --> 00:03:57,410
163
+ ุงูŠุด ุงู„ู…ูƒูˆู† ู„ู„ AP1 ุงูŠุด ุงู„ู„ูŠ ู‡ูŠุนู…ู„ ุงู„ dimerููŠ ุฃูŠ ู†ูˆุน
164
+
165
+ 42
166
+ 00:03:57,410 --> 00:04:03,890
167
+ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ูˆุฌูˆุฏ ุชู…ุงู… ู‡ุงู† ู‡ูŠุนุทูŠู†ูŠ ุงู„ effects
168
+
169
+ 43
170
+ 00:04:03,890 --> 00:04:13,770
171
+ ุงู„ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ู…ุซู„ุง ู…ู…ูƒู† ููŠ ุฃู†ู‡ ุงู„ ุฌู† ุจูŠ ู…ุซู„ุง ุงู„ุฌู†
172
+
173
+ 44
174
+ 00:04:13,770 --> 00:04:17,910
175
+ ุจูŠ ุจุงู„ fibroblasts ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
176
+
177
+ 45
178
+ 00:04:17,910 --> 00:04:23,390
179
+ differentiation ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ุฎู„ุงูŠุง ู…ู…ูƒู† ูŠูƒูˆู†
180
+
181
+ 46
182
+ 00:04:23,390 --> 00:04:29,310
183
+ Anti cell cycle progressionุชู…ุงู… ูˆ ุจุฑุถู‡ ุงุฐุง ูƒุงู†
184
+
185
+ 47
186
+ 00:04:29,310 --> 00:04:34,170
187
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ John D ู…ุซู„ุง ุจุฑุถู‡ ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
188
+
189
+ 48
190
+ 00:04:34,170 --> 00:04:38,270
191
+ differentiation ู„ูƒู† ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฏูˆุฑ ุงูŠุถุง ููŠ ุงู„
192
+
193
+ 49
194
+ 00:04:38,270 --> 00:04:43,290
195
+ cell cycle progression ูˆ ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ุงู„ู„ูŠ ู‡ูˆ ูƒ
196
+
197
+ 50
198
+ 00:04:43,290 --> 00:04:48,690
199
+ anti-apoptotic agent ูŠุจูŠู†ู†ุง ุญุณุจ ุงูŠุด ุงู„ู…ูƒูˆู† ู„ ุงู„
200
+
201
+ 51
202
+ 00:04:48,690 --> 00:04:54,030
203
+ AP1 ุงูŠุด ุงู„ two monomers ุงู„ู„ูŠ ู‡ูŠุนุทูŠู†ุง ุงู„ dimerูˆุญุณุจ
204
+
205
+ 52
206
+ 00:04:54,030 --> 00:04:59,270
207
+ ู…ูˆุฌูˆุฏ ููŠ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ุฎู„ุงูŠุง ู‡ุชูƒูˆู† ุนู†ุฏู†ุง ุงู„ effect
208
+
209
+ 53
210
+ 00:04:59,270 --> 00:05:05,370
211
+ ุทูŠุจ ูุนู„ูŠุง ุฅูŠุด ุงู„ู„ูŠ ูŠุนู†ูŠ ู‡ูŠุนู…ู„ู„ูŠ activation ู„ ุงู„
212
+
213
+ 54
214
+ 00:05:05,370 --> 00:05:09,810
215
+ different monomers ุนุดุงู† ูŠูƒูˆู†ูˆุง dimers ูˆูŠุนุทูˆู†ูŠ ุงู„ู„ูŠ
216
+
217
+ 55
218
+ 00:05:09,810 --> 00:05:13,270
219
+ ู‡ูˆ ุงู„ AP1 ูˆ ุจุนุฏูŠู† ูŠุนุทูŠู†ูŠ ุงู„ effect ุงู„ู…ุทู„ูˆุจุฉ ุงู„ุขู†
220
+
221
+ 56
222
+ 00:05:13,270 --> 00:05:18,750
223
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ุทุจุนุง ู…ู† ุฎู„ุงู„ ุงู„ research ุงู„ู„ูŠ ุชู…ู„ุงุฌูˆุง
224
+
225
+ 57
226
+ 00:05:18,750 --> 00:05:23,150
227
+ ุฅู† ุงู„ู€ contribution ูˆ AP want to sell fate depends
228
+
229
+ 58
230
+ 00:05:23,150 --> 00:05:27,170
231
+ on the cellular context and the survival or death
232
+
233
+ 59
234
+ 00:05:27,170 --> 00:05:32,410
235
+ stimulus ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„
236
+
237
+ 60
238
+ 00:05:32,410 --> 00:05:36,530
239
+ ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ู‡ูŠ
240
+
241
+ 61
242
+ 00:05:36,530 --> 00:05:40,710
243
+ ุงู„ู„ูŠ ุจุชุญุฏุฏ ุฅูŠุด ุงู„ู„ูŠ ุจุฏูŠูˆุตู„ู‡activation ูˆุฅูŠุด ุงู„ุฏูˆุฑ
244
+
245
+ 62
246
+ 00:05:40,710 --> 00:05:46,090
247
+ ุงู„ู„ูŠ ู‡ูŠู„ุนุจู‡ ุงู„ AP1 ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ุญุฏุฏ ุขุฎุฑ ุจุฑุถู‡ ุฃูƒูŠุฏ
248
+
249
+ 63
250
+ 00:05:46,090 --> 00:05:50,170
251
+ ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ ูˆุตู„ุชู‡ุง ุงู„ signal Therefore, the
252
+
253
+ 64
254
+ 00:05:50,170 --> 00:05:53,050
255
+ role of AP1 in apoptosis should be considered
256
+
257
+ 65
258
+ 00:05:53,050 --> 00:05:55,870
259
+ within the context of a complex network of
260
+
261
+ 66
262
+ 00:05:55,870 --> 00:05:59,070
263
+ signaling pathways and nuclear factors that
264
+
265
+ 67
266
+ 00:05:59,070 --> 00:06:03,430
267
+ respond simultaneouslyูŠุจู‚ู‰ ูƒู…ุงู† ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
268
+
269
+ 68
270
+ 00:06:03,430 --> 00:06:10,450
271
+ ุจุฑุถู‡ ู…ุด ุจุณ ุงู„ AP1 ุงู„ู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑ ู„ุฃ ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
272
+
273
+ 69
274
+ 00:06:10,450 --> 00:06:13,190
275
+ ุงู„ู„ูŠ ู‡ูˆ network of signaling pathways ูŠุจู‚ู‰ ููŠ
276
+
277
+ 70
278
+ 00:06:13,190 --> 00:06:18,690
279
+ ุนู†ุฏู†ุง ุงู„ู…ู…ูƒู† ุฅุดุงุฑุงุช ู…ุฎุชู„ูุฉ ุจ proteins ุฃุฎุฑู‰ ุจูŠุตู„ู‡ุง
280
+
281
+ 71
282
+ 00:06:18,690 --> 00:06:23,930
283
+ activation ูˆ ู…ุน ุงู„ AP1 ูˆ ุฃูŠ ู†ูˆุน ู…ู† ุงู„ AP1 ุงู„ู„ูŠ ุจุฏูŠ
284
+
285
+ 72
286
+ 00:06:23,930 --> 00:06:29,350
287
+ ูŠุตู„ู‡ activation ุชู…ุงู… ูƒู„ ู‡ุฐู‡ุจุชุญุฏุฏ ุฅูŠุด ุงู„ effect
288
+
289
+ 73
290
+ 00:06:29,350 --> 00:06:34,370
291
+ ุงู„ู„ูŠ ุจุฏู‡ุง ุชุตูŠุฑ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุชู…ุงู… ุจูŠุฌูŠ ู…ุฑุฉ ุฃุฎุฑู‰
292
+
293
+ 74
294
+ 00:06:34,370 --> 00:06:38,210
295
+ ุงู„ signal ุงู„ู„ูŠ ุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ุฅูŠุด ู†ูˆุน ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ
296
+
297
+ 75
298
+ 00:06:38,210 --> 00:06:43,810
299
+ ูˆุตู„ุชู‡ุง ุงู„ signal ุฅูŠุด ุจุฏู‡ ูŠุตูŠุฑ activation ู„ุฃูŠ ู†ูˆุน
300
+
301
+ 76
302
+ 00:06:43,810 --> 00:06:50,550
303
+ ู…ู† ุงู„ู„ูŠ ู‡ูˆ AP1 ุชู…ุงู… ูˆ ุฃูŠุถุงุฅูŠุด ุงู„ other signals
304
+
305
+ 77
306
+ 00:06:50,550 --> 00:06:55,650
307
+ pathways ุงู„ู„ูŠ ุญุตู„ู‡ุง ุจุฑุถู‡ activation ุจูŠุฏู‚ู„ ูƒู„ู‡
308
+
309
+ 78
310
+ 00:06:55,650 --> 00:07:01,390
311
+ ุจู…ุญุฏุฏุงุช ุงู„ุฎู„ูŠุฉ ู‡ุชุฑูˆุญ ู„ูˆูŠู† ู„ differentiation ู„ cell
312
+
313
+ 79
314
+ 00:07:01,390 --> 00:07:06,150
315
+ cycle progression ุฃูˆ ู„ apoptosis ูˆู‡ุฐุง figure ุขุฎุฑ
316
+
317
+ 80
318
+ 00:07:06,150 --> 00:07:12,170
319
+ ูŠุนู†ูŠ ุจูŠุนุทูŠู†ุง ุชูˆุถูŠุญ ุฃูƒุซุฑุนู† ุจูŠู‡ุงู† ุงุญู†ุง ุจู†ุญูƒูŠ ุจุดูƒู„
320
+
321
+ 81
322
+ 00:07:12,170 --> 00:07:16,730
323
+ ุฎุงุต ุนู† ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ู…ู…ูƒู† ุจุชุนู…ู„ูŠ proliferation ุงูˆ
324
+
325
+ 82
326
+ 00:07:16,730 --> 00:07:20,070
327
+ ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุจุชุนุชุจุฑ anti-proliferative ุชู…ุงู… ูŠุจู‚ู‰
328
+
329
+ 83
330
+ 00:07:20,070 --> 00:07:26,030
331
+ ู‡ุงู† ููŠู‡ ุฌุงู† ุจูŠ ูˆ ุฌุงู† ูˆ ุฌุงู† ุฏูŠ ูƒู„ ู‡ุฐู‡ members ู…ู† ุงู„
332
+
333
+ 84
334
+ 00:07:26,030 --> 00:07:30,410
335
+ families ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ AP1 ูŠุจู‚ู‰ ุญุณุจ ุงู„ signal ูˆ
336
+
337
+ 85
338
+ 00:07:30,410 --> 00:07:35,370
339
+ ุฅูŠุด ุญูŠุตูŠุฑ ููŠู‡ ุนู†ุง activationุชู…ุงู… ุจุนุฏ ู‡ูŠูƒ ู‡ูŠุตูŠุฑ ููŠู‡
340
+
341
+ 86
342
+ 00:07:35,370 --> 00:07:39,970
343
+ ุฃู†ู‡ ุฅู…ุง ูŠุนู†ูŠ ู‡ูŠ ุนู„ู‰ ุงุณู… ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ุงู„ ุงู„
344
+
345
+ 87
346
+ 00:07:39,970 --> 00:07:44,670
347
+ ุฌุงู† ุจูŠ ู…ุซู„ุง ุงู„ ุฌุงู† ุจูŠ ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนู…ู„ูŠ inhibition
348
+
349
+ 88
350
+ 00:07:44,670 --> 00:07:53,170
351
+ ู„ุงู„cycline D ู‡ุฏููŠ ุงู„ fibroblasts ู„ูƒู† ุฃู†ู‡ ููŠ ุงู„
352
+
353
+ 89
354
+ 00:07:53,170 --> 00:07:57,330
355
+ bone cells ู…ู…ูƒู† member ุฃุฎุฑ ู…ู† ุงู„ members ุงู„ู„ูŠ
356
+
357
+ 90
358
+ 00:07:57,330 --> 00:08:01,580
359
+ ุจุชูƒูˆู† ุงู„ AP1ุงู„ู„ูŠ ู…ุงุญูƒู†ุงุด ุนู„ูŠู‡ ุณุงุจู‚ุง ู‡ูˆ ุงู„ ATF ุจุฑุถู‡
360
+
361
+ 91
362
+ 00:08:01,580 --> 00:08:06,280
363
+ ู‡ูŠุจู‚ู‰ ูŠุง ุฏูŠ family ุฃุฎุฑู‰ ู…ู† ุงู„ู…ูƒูˆู†ุงุช ู„ ุงู„ AP1 ูŠุจู‚ู‰
364
+
365
+ 92
366
+ 00:08:06,280 --> 00:08:10,680
367
+ ุนู†ุฏู†ุง ุงู„ุฌู† ูˆ ุงู„ูุต ูˆ ุงู„ ATF ุฃูŠุถุง ูŠุจู‚ู‰ ุฅูŠุด ุจูŠุตูŠุฑ ููŠู‡
368
+
369
+ 93
370
+ 00:08:10,680 --> 00:08:14,060
371
+ ุฃู†ู‡ ูŠุนู†ูŠ ู‡ุงูŠ ููŠ ุงู„ bone cells ๏ฟฝ๏ฟฝู† ุงู„ ATF ู…ุซู„ุง ู‡ุฐุง
372
+
373
+ 94
374
+ 00:08:14,060 --> 00:08:20,140
375
+ ุจูŠุนู…ู„ activation ู„ ุงู„ cycling D ุจูŠู†ู…ุง ุงู„ุฌู† ู…ุซู„ุง
376
+
377
+ 95
378
+ 00:08:20,140 --> 00:08:25,740
379
+ ู‡ุงู† ู‡ุงู† ุจูŠุนู…ู„ูŠุงู„ูˆ activation ู„ ุงู„ cycling D ูŠุจู‚ู‰
380
+
381
+ 96
382
+ 00:08:25,740 --> 00:08:29,120
383
+ ุงู„ different family members ุงู„ู„ูŠ ุจุชูƒูˆู† ู„ูŠ ุงู„ AP1
384
+
385
+ 97
386
+ 00:08:29,120 --> 00:08:32,100
387
+ ู‡ูŠุตูŠุฑ activation ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจู†ุงุก ุนู„ู‰ ุงู„ signals
388
+
389
+ 98
390
+ 00:08:32,100 --> 00:08:38,000
391
+ ุงู„ู„ูŠ ู‡ุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ูˆ ุฅูŠู‡ ู†ูˆุน ุงู„ุฎู„ูŠุฉ ูˆ ุจุงู„ู†ู‡ุงูŠุฉ
392
+
393
+ 99
394
+ 00:08:38,000 --> 00:08:43,120
395
+ ู‡ุชุนุทูŠู†ูŠ ุฅู…ุง ุงู„ antiproliferative effect ุฃูˆ ู…ู…ูƒู†
396
+
397
+ 100
398
+ 00:08:43,120 --> 00:08:47,500
399
+ ุชุนุทูŠู†ูŠ proliferative effect ุงู„ AP1 activity is
400
+
401
+ 101
402
+ 00:08:47,500 --> 00:08:52,090
403
+ induced by two mechanismsูŠุจู‚ู‰ ุนู†ุฏู†ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู…
404
+
405
+ 102
406
+ 00:08:52,090 --> 00:08:56,350
407
+ ุงู„ุฃูˆู„ู‰ ุงู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ direct phosphorylation
408
+
409
+ 103
410
+ 00:08:56,350 --> 00:09:05,210
411
+ ู„members of phosph family by map K ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
412
+
413
+ 104
414
+ 00:09:05,210 --> 00:09:09,470
415
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ phosphorylation ู‡ุฐู‡ ู‡ุชุฃุซุฑ ุนู„ู‰ ุงู„ DNA
416
+
417
+ 105
418
+ 00:09:09,470 --> 00:09:14,990
419
+ binding activity ุงู„ุดุบู„ ุงู„ุชุงู†ูŠ ุงู†ู‡ ุงู„ map K
420
+
421
+ 106
422
+ 00:09:14,990 --> 00:09:18,790
423
+ phosphorylation and subsequent activationof other
424
+
425
+ 107
426
+ 00:09:18,790 --> 00:09:21,850
427
+ transcription factors increases the expression of
428
+
429
+ 108
430
+ 00:09:21,850 --> 00:09:26,630
431
+ both FOS and JAN genes ูŠุจู‚ู‰ ุจุทุฑูŠู‚ุชูŠู† ุงู„ activity
432
+
433
+ 109
434
+ 00:09:26,630 --> 00:09:33,170
435
+ ู„ู‡ุง ุงู„ AP1 ุจุชุฒูŠุฏ ุงู…ุง ุจุฒูŠุงุฏุฉ ุฅู†ุชุงุฌ ุงู„ FOS ูˆ ุงู„ JAN
436
+
437
+ 110
438
+ 00:09:33,170 --> 00:09:39,490
439
+ ุงู„ู„ูŠ ู‡ูŠูƒูˆู†ูˆู„ูŠ ุงู„ AP1 ุฃูˆุนู† ุทุฑูŠู‚ ุงู„ู€ phosphorylation
440
+
441
+ 111
442
+ 00:09:39,490 --> 00:09:45,590
443
+ ุงู„ู„ูŠ ู‡ุชุตูŠุฑ ู„ ุงู„ AP1 ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุฒูŠุฏ ู…ู† ุงู„ affinity
444
+
445
+ 112
446
+ 00:09:45,590 --> 00:09:50,950
447
+ ู„ ุงู„ุฅุฑุชุจุงุท ู…ุน ุงู„ DNA ูˆุจุงู„ุชุงู„ูŠ expression ู„ ุงู„
448
+
449
+ 113
450
+ 00:09:50,950 --> 00:09:54,770
451
+ genes ุงู„ู…ุนู†ูŠุฉ as a result AP1 activity increases
452
+
453
+ 114
454
+ 00:09:54,770 --> 00:09:59,530
455
+ and subsequent transcriptional regulation proceeds
456
+
457
+ 115
458
+ 00:09:59,530 --> 00:10:06,680
459
+ ูˆู‡ุฐุง ุงู„ figure ุจูŠูˆุถุญ ุงู†ู‡ุทุจุนุง ู…ุน ูˆุตูˆู„ ุงู„ signal ุฒูŠ
460
+
461
+ 116
462
+ 00:10:06,680 --> 00:10:11,840
463
+ ู…ุง ู‚ู„ู†ุง ุฅู…ุง ุจูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ exception ุนุงูŠุจ ุฌุฏุง ู…ู…ูƒู†
464
+
465
+ 117
466
+ 00:10:11,840 --> 00:10:13,780
467
+ ุชุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง phosphorylation ู„ transcription
468
+
469
+ 118
470
+ 00:10:13,780 --> 00:10:18,340
471
+ factors ุฃุฎุฑู‰ ูˆู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ transcription factors
472
+
473
+ 119
474
+ 00:10:18,340 --> 00:10:23,020
475
+ ุชุฒูŠุฏ ุงู„ exception ู„ ุงู„ C-Foss ูˆtranscription
476
+
477
+ 120
478
+ 00:10:23,020 --> 00:10:27,780
479
+ factors ุฃุฎุฑู‰ ู…ู…ูƒู† ุชุฒูŠุฏ ุงู„ exception ู„ ุงู„ C-John
480
+
481
+ 121
482
+ 00:10:28,240 --> 00:10:33,560
483
+ genes ูˆ ู‡ุฏูˆู„ ู‡ูŠูƒูˆู†ูˆู„ูŠ ุงู„ AP1 ูˆ ุงู„ AP1 ู‡ุชุนู…ู„
484
+
485
+ 122
486
+ 00:10:33,560 --> 00:10:38,100
487
+ expression ู„ ุงู„ genes ุงู„ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ุฅู…ุง ุจุฒูŠุงุฏุฉ ุงู„
488
+
489
+ 123
490
+ 00:10:38,100 --> 00:10:42,460
491
+ expression ุฃูˆ ู…ู…ูƒู† ูŠุนู†ูŠ ู…ุด ูˆุงุถุญ ุจุงู„ุตูˆุฑุฉ ู‡ุฐู‡ ู„ูƒู†
492
+
493
+ 124
494
+ 00:10:42,460 --> 00:10:47,880
495
+ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ูŠุตูŠุฑ ููŠู‡ ุฃู† phosphorylation ู„ C-phos
496
+
497
+ 125
498
+ 00:10:47,880 --> 00:10:52,640
499
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูˆู‡ุฐุง ูŠุฒูŠุฏ ู…ู† ุงุฑุชุจุงุทู‡ ู…ุน ุงู„
500
+
501
+ 126
502
+ 00:10:52,640 --> 00:10:57,330
503
+ response elements ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถุง expression ู„genes
504
+
505
+ 127
506
+ 00:10:57,330 --> 00:11:02,470
507
+ ู…ุนูŠู†ุฉ ู…ุซุงู„ ุขุฎุฑ ุฃูŠุถุง ุนู„ู‰ ุงู„ transcription factor
508
+
509
+ 128
510
+ 00:11:02,470 --> 00:11:06,510
511
+ ุนู†ุฏู†ุง ุงู„ mech ุงู„ transcription factor ูˆููŠ ุนู†ุฏู†ุง
512
+
513
+ 129
514
+ 00:11:06,510 --> 00:11:10,810
515
+ ุนุงุฆู„ุฉ ุงู„ mech ููŠ ุนู†ุฏู†ุง ุฃูƒุชุฑ ู…ู† member ููŠ ุนู†ุฏู†ุง ุงู„
516
+
517
+ 130
518
+ 00:11:10,810 --> 00:11:16,870
519
+ c mech ูˆ ุงู„ l mech ูˆ ุฃูŠุถุง ุงู„ n mech ูˆ ู‡ุฐู‡ ุงู„ุนุงุฆู„ุฉ
520
+
521
+ 131
522
+ 00:11:16,870 --> 00:11:20,870
523
+ ู…ู† ุงู„ transcription factors ุงู„ู„ูŠ ู‡ูŠ ุงู„ mech ุจุชุฑุชุจุท
524
+
525
+ 132
526
+ 00:11:20,870 --> 00:11:24,410
527
+ ุฃูŠุถุง ู…ุน transcription factors ุฃุฎุฑู‰ ุฒูŠ ุงู„ max ุฒูŠ ุงู„
528
+
529
+ 133
530
+ 00:11:24,410 --> 00:11:29,810
531
+ mad ูˆ ุฒูŠ ุงู„ maxiูŠุจู‚ู‰ they can dimerize in
532
+
533
+ 134
534
+ 00:11:29,810 --> 00:11:32,890
535
+ different ways and lead to distinct biological
536
+
537
+ 135
538
+ 00:11:32,890 --> 00:11:37,110
539
+ effects on growth differentiation and death ูŠุจู‚ู‰
540
+
541
+ 136
542
+ 00:11:37,110 --> 00:11:42,670
543
+ ุญุณุจ ุฃูŠ transcription factor ู‡ูŠุฑุชุจุท ู…ุน ุฃูŠ member ู‡ูˆ
544
+
545
+ 137
546
+ 00:11:42,670 --> 00:11:46,510
547
+ ุงู„ู„ูŠ ู‡ูŠุนุทูŠู†ูŠ ุงู„ effects ุฃูˆ ุงู„ biological effects
548
+
549
+ 138
550
+ 00:11:46,510 --> 00:11:49,950
551
+ ุงู„ู…ุฎุชู„ูุฉ ุฃูŠุถุง ู‡ุฐู‡ ุงู„ transcription factors ุจุฑุถู‡
552
+
553
+ 139
554
+ 00:11:49,950 --> 00:11:54,990
555
+ several seem to be targets of map K ูŠุจู‚ู‰ ุจุฑุถู‡ ุจุณู„ุฉ
556
+
557
+ 140
558
+ 00:11:54,990 --> 00:11:59,050
559
+ activationุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ MAPK ุฒูŠ ู…ุง ุดูˆูู†ุง ููŠ
560
+
561
+ 141
562
+ 00:11:59,050 --> 00:12:03,230
563
+ ุญุงู„ุฉ ุงู„ู€ AP1 ุจุงู„ู†ุณุจุฉ ู„ู€ MEC is a short-lived
564
+
565
+ 142
566
+ 00:12:03,230 --> 00:12:08,130
567
+ protein that promotes proliferation by regulating
568
+
569
+ 143
570
+ 00:12:08,130 --> 00:12:12,590
571
+ the expression of specific target genes ูŠุจู‚ู‰ ุจูŠุนู…ู„
572
+
573
+ 144
574
+ 00:12:12,590 --> 00:12:17,270
575
+ proliferation ุนู† ุทุฑูŠู‚ ุงู„ู€ exception ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ
576
+
577
+ 145
578
+ 00:12:17,270 --> 00:12:22,450
579
+ ู‡ูˆ ุฒูŠุงุฏุฉุงู„ู€ Exhibition ู„ู€ Genes ุฒูŠ ุนู†ุฏู†ุง ุงู„ู€ N-RAS
580
+
581
+ 146
582
+ 00:12:22,450 --> 00:12:28,970
583
+ ูˆุนู†ุฏู†ุง ุงู„ู€ B53 ุงู„ู…ูŠูƒ ูŠุทู„ุจ ู…ู† ุงู„ู€ Constitutively
584
+
585
+ 147
586
+ 00:12:28,970 --> 00:12:33,070
587
+ Exhibits Max Protein to function ูŠุจู‚ู‰ ู„ุงุฒู… ูŠุตูŠุฑ
588
+
589
+ 148
590
+ 00:12:33,070 --> 00:12:37,890
591
+ ุนู†ุฏู†ุง Dimerization ุจูŠู† ุงู„ู…ูŠูƒ ูˆุจูŠู† ุงู„ู€ Max ุงู„
592
+
593
+ 149
594
+ 00:12:37,890 --> 00:12:41,910
595
+ Transcription Factor ุนุดุงู† ูŠูƒูˆู† ุงู„ู…ูŠูƒ ู‚ุงุฏุฑ ุนู„ู‰
596
+
597
+ 150
598
+ 00:12:41,910 --> 00:12:47,030
599
+ ุงู„ุฅุฑุชุจุงุท ู…ุน ุงู„ู€ DNAูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ expression ู„ู€
600
+
601
+ 151
602
+ 00:12:47,030 --> 00:12:50,910
603
+ genes ู…ุนูŠู†ุฉ ุจูŠู†ู…ุง ุงู„ู€ heterodymers ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ
604
+
605
+ 152
606
+ 00:12:50,910 --> 00:12:54,890
607
+ ู…ู…ูƒู† ุชุชูƒูˆู† ู…ู† ู‡ุฐู‡ ุงู„ู€ transcription factors ุฒูŠ
608
+
609
+ 153
610
+ 00:12:54,890 --> 00:12:59,270
611
+ ุนู†ุฏู†ุง ุงู„ู€ Max Max ุฃูˆ ุงู„ู€ Mad Maxi ู‡ุฏูˆู„ ูŠุนุชุจุฑูˆุง
612
+
613
+ 154
614
+ 00:12:59,270 --> 00:13:05,830
615
+ inhibitory ู„ู€ Mac function ูˆู‡ุฐุง ูˆุงุถุญ ููŠ ุงู„ููŠุฌุฑ
616
+
617
+ 155
618
+ 00:13:05,830 --> 00:13:09,150
619
+ ุงู„ุชุงู„ูŠ ุงุญู†ุง ู‚ู„ู†ุง ุงู† ุงู„ู€ Mac transcription factor
620
+
621
+ 156
622
+ 00:13:09,150 --> 00:13:15,330
623
+ ุจูŠุญุชุงุฌ ุฅู„ู‰ Max ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ activationู„ู„ู€
624
+
625
+ 157
626
+ 00:13:15,330 --> 00:13:18,810
627
+ transcription factor ูˆุงุฑุชุจุงุทู‡ ุนู„ู‰ ุงู„ู€ response
628
+
629
+ 158
630
+ 00:13:18,810 --> 00:13:22,230
631
+ element ูˆุจุงู„ุชุงู„ูŠ ุงู„ transcription ู„ ุงู„ target
632
+
633
+ 159
634
+ 00:13:22,230 --> 00:13:27,230
635
+ genesุจูŠู†ู…ุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ู…ู† ุงู„ max ู…ุน
636
+
637
+ 160
638
+ 00:13:27,230 --> 00:13:31,770
639
+ ุงู„ max ุจูŠู‡ุง ุฏู‡ ู‡ูŠุนู…ู„ competition ู…ุน ุงู„ mech ูˆ ุงู„
640
+
641
+ 161
642
+ 00:13:31,770 --> 00:13:36,590
643
+ max ุจุฌู‡ุฉ ุฏู‡ ู…ู…ูƒู† ูŠู…ู†ุน ุงุฑุชุจุงุท ู„ุฃู†ู‡ ู‡ูŠู†ุงูุณ ุงู„ mech
644
+
645
+ 162
646
+ 00:13:36,590 --> 00:13:41,010
647
+ max ููŠ ุงู„ุงุฑุชุจุงุท ุนู„ู‰ ุงู„ response element ุจูŠู†ู…ุง ุฅุฐุง
648
+
649
+ 163
650
+ 00:13:41,010 --> 00:13:44,690
651
+ ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ dimer ุจูŠู† ุงู„ mad ูˆ ุจูŠู† ุงู„ max ุจูŠู‡ุง
652
+
653
+ 164
654
+ 00:13:44,690 --> 00:13:48,710
655
+ ุฏู‡ ู‡ูŠุนู…ู„ repressionุชู…ุงู…ุŒ ู‡ูŠุฑุชุจุท ุนู„ู‰ response
656
+
657
+ 165
658
+ 00:13:48,710 --> 00:13:52,850
659
+ element ูˆ ู‡ูŠุนู…ู„ repression ุญูƒูŠู†ุง ุณุงุจู‚ุง ุนู„ู‰ ุฃู‡ู…ูŠุฉ
660
+
661
+ 166
662
+ 00:13:52,850 --> 00:13:58,990
663
+ ุงู„ุฑุฃุณ ููŠ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุงู„ cell membrane ุฅู„ู‰ ุฏุงุฎู„
664
+
665
+ 167
666
+ 00:13:58,990 --> 00:14:05,290
667
+ ุงู„ุฎู„ูŠุฉุŒ ูˆู‚ูˆู„ู†ุง ุฃู† ุงู„ุฑุฃุณ ูŠุนุชุจุฑ a pivotal pointููŠ
668
+
669
+ 168
670
+ 00:14:05,290 --> 00:14:09,690
671
+ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ูˆูŠุนุชุจุฑ major player for the
672
+
673
+ 169
674
+ 00:14:09,690 --> 00:14:12,930
675
+ integration of a growth factor signal with a
676
+
677
+ 170
678
+ 00:14:12,930 --> 00:14:16,790
679
+ number of crucial signaling pathways ูˆุฅุญู†ุง ููŠ
680
+
681
+ 171
682
+ 00:14:16,790 --> 00:14:20,670
683
+ ุงู„ุตูŠุฏุงุช ุงู„ุณุงุจู‚ุฉ ุดูˆูู†ุง ุฅู†ู‡ ุงู„ุฑุงุณ ู…ู…ูƒู† ูŠุนู…ู„ู‰
684
+
685
+ 172
686
+ 00:14:20,670 --> 00:14:25,470
687
+ activation ู„ู„ุฑุงู ูˆุจุนุฏ ู‡ูŠูƒ ู„ู‚ู‰ ุงู„ map kinase
688
+
689
+ 173
690
+ 00:14:25,470 --> 00:14:29,990
691
+ cascade ู„ูƒู† ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุจุฑุถู‡ pathway ุฃุฎุฑู‰ ู…ู…ูƒู†
692
+
693
+ 174
694
+ 00:14:29,990 --> 00:14:34,680
695
+ ุตู„ู‰ activation ุนู† ุทุฑูŠู‚ ุงู„ุฑุงุณูˆุนู†ุฏู†ุง ุงู„ path way
696
+
697
+ 175
698
+ 00:14:34,680 --> 00:14:38,360
699
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ู‰ ุนู† ุทุฑูŠู‚ ุงู„ activation ู„ู„ phosphatidyl
700
+
701
+ 176
702
+ 00:14:38,360 --> 00:14:43,040
703
+ inositol 3-kinase ุนุจุงุฑุฉ ุนู† ุงู„ู„ู‰ ูˆ lipid kinase ูˆ
704
+
705
+ 177
706
+ 00:14:43,040 --> 00:14:47,700
707
+ ุงู„ู„ู‰ ูŠุนุชุจุฑ another effector protein downstream of
708
+
709
+ 178
710
+ 00:14:47,700 --> 00:14:51,840
711
+ rats ูˆ ู‡ุงู† ูˆุงุถุญ ุจุงู„ figure ุงุญู†ุง ู‚ู„ู†ุง ุงู† ุงู„ path
712
+
713
+ 179
714
+ 00:14:51,840 --> 00:14:55,760
715
+ way ู‡ุฐุง ุงู„ุฃูˆู„ ุงู„ู„ู‰ ุญุงูƒูŠู†ุง ุนู„ูŠู‡ GRP2 ูˆ ุงู„ source
716
+
717
+ 180
718
+ 00:14:55,760 --> 00:14:58,680
719
+ ุงู„ู„ู‰ ุจุนู…ู„ activation ู„ู„ุฑุงุณ ูˆ ุงู„ rats ุจุนุฏูŠู† ุจุนู…ู„
720
+
721
+ 181
722
+ 00:14:58,680 --> 00:15:03,490
723
+ activation ู„ู„ุฑููˆุจุนุฏูŠู† ู„ู‚ู‰ ุงู„ map ูƒ ูƒูŠู†ุงูŠุฒ ู„ูƒู† ููŠู‡ุง
724
+
725
+ 182
726
+ 00:15:03,490 --> 00:15:08,950
727
+ ุจุงุซูˆูŠุฉ ุฃุฎุฑู‰ ูˆู‡ูˆ ุนู† ุทุฑูŠู‚ ุงู„ activation ู„ ุงู„
728
+
729
+ 183
730
+ 00:15:08,950 --> 00:15:13,970
731
+ phosphatidyl inositol 3 ูƒูŠู†ุงูŠุฒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูˆ
732
+
733
+ 184
734
+ 00:15:13,970 --> 00:15:19,450
735
+ ุนุจุงุฑุฉ ุนู† lipid kinase ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡ ุงู†ู‡ ุจูŠุถูŠู
736
+
737
+ 185
738
+ 00:15:19,450 --> 00:15:23,680
739
+ phosphate groupุนู„ู‰ ุงู„ PIP2 ุงู„ู„ูŠ ู‡ูˆ ุงู„
740
+
741
+ 186
742
+ 00:15:23,680 --> 00:15:28,700
743
+ phosphatidylinositol 4,5-bisphosphate ุจูŠุถูŠู ุนู„ูŠู‡ุง
744
+
745
+ 187
746
+ 00:15:28,700 --> 00:15:34,500
747
+ phosphate group ูˆ ุจุชุชุญูˆู„ ุฅู„ู‰ PIP3 phosphatidyl 3,4
748
+
749
+ 188
750
+ 00:15:34,500 --> 00:15:39,500
751
+ ,5-triphosphate ุงู„ุงู† ุงู„ phosphorylation ู„ู‡ุฐุง
752
+
753
+ 189
754
+ 00:15:39,500 --> 00:15:47,380
755
+ ุงู„ู„ูŠุจุฏ ู‡ุฐุง ุจูŠุนู…ู„ recruitment ู„ุฅู† ุงู„ PDK1 phospho
756
+
757
+ 190
758
+ 00:15:47,870 --> 00:15:53,510
759
+ Inocytide-dependent protein kinase ูˆ ๏ฟฝ๏ฟฝูŠุถู‹ุง ุจูŠุนู…ู„
760
+
761
+ 191
762
+ 00:15:53,510 --> 00:15:59,150
763
+ ู„ูŠ recruitment ู„ protein ุงู„ู„ูŠ ู‡ูˆ AKT ุฃูˆ ูŠุณู…ู‰ ุฃูŠุถู‹ุง
764
+
765
+ 192
766
+ 00:15:59,150 --> 00:16:06,510
767
+ protein kinase B ูŠุจู‚ู‰ recruitment ู„ PDK1 ูˆ ู„AKT ูˆ
768
+
769
+ 193
770
+ 00:16:06,510 --> 00:16:10,230
771
+ ุทุจุนู‹ุง ู‡ูŠุฑุชุจุทู‡ ู…ุน PID3 ูˆ ู‡ู†ููŠ ุนู†ู‡ ุทุจุนู‹ุง close
772
+
773
+ 194
774
+ 00:16:10,230 --> 00:16:13,930
775
+ proximity ูˆ PDK1 ุจู‡ุฐุง ุงู„ุญุงู„ุฉ ู‡ูŠุนู…ู„ ู„ูŠ
776
+
777
+ 195
778
+ 00:16:13,930 --> 00:16:20,830
779
+ phosphorylation ู„AKTูˆุงู„ู€ Phosphorylated Akt ู‡ูŠุตู„ู‘ู‡
780
+
781
+ 196
782
+ 00:16:20,830 --> 00:16:27,690
783
+ Translocation ู„ู„ู†ูƒู„ูŠูˆุณ ูˆ ู‡ูŠุนู…ู„ู‘ูŠ ุจุฑุถู‡ Activation
784
+
785
+ 197
786
+ 00:16:27,690 --> 00:16:34,510
787
+ ู„ู€ Transcription Factors ู…ุฎุชู„ูุฉ ูˆ ุงู„ู„ูŠ ู‡ุชู„ุนุจ ุฏูˆุฑ
788
+
789
+ 198
790
+ 00:16:34,510 --> 00:16:40,710
791
+ ููŠ ุงู„ Regulations ู„ู€ Genes ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ู‡ุฐุง Pathway
792
+
793
+ 199
794
+ 00:16:40,710 --> 00:16:46,420
795
+ ุขุฎุฑ ูˆ ุงู„ู„ูŠ ุจูŠุตู„ู‘ู‡ Activationุนู† ุทุฑูŠู‚ ุงู„ุฑุฃุณ ุฃูŠุถู‹ุง
796
+
797
+ 200
798
+ 00:16:46,420 --> 00:16:50,680
799
+ ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€ Epidermal Growth
800
+
801
+ 201
802
+ 00:16:50,680 --> 00:16:54,640
803
+ Factor Signaling The effect of cell signaling on
804
+
805
+ 202
806
+ 00:16:54,640 --> 00:16:59,700
807
+ cell behavior ูŠุจู‚ู‰ ุงู„ signaling ู…ู…ูƒู† ุจุฑุถู‡ ุชู„ุนุจ ุฏูˆุฑ
808
+
809
+ 203
810
+ 00:16:59,700 --> 00:17:04,500
811
+ ููŠ ุงู„ cell behavior ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ proliferation
812
+
813
+ 204
814
+ 00:17:04,500 --> 00:17:09,140
815
+ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ adhesion of cells invasion motility
816
+
817
+ 205
818
+ 00:17:09,140 --> 00:17:15,310
819
+ ุชู…ุงู… ูƒู„ ู‡ุฐู‡ ุจุฑุถู‡ ู…ู…ูƒู†ุชุชุบูŠุฑ ุนู† ุทุฑูŠู‚ ุงู„ cell
820
+
821
+ 206
822
+ 00:17:15,310 --> 00:17:18,170
823
+ signaling a growth factor signaling can lead to
824
+
825
+ 207
826
+ 00:17:18,170 --> 00:17:22,870
827
+ cell proliferation via signaling to the nucleus in
828
+
829
+ 208
830
+ 00:17:22,870 --> 00:17:27,230
831
+ addition can have effects on cell behavior ุงู„ู„ูŠ ู‡ูˆ
832
+
833
+ 209
834
+ 00:17:27,230 --> 00:17:31,570
835
+ ุงู„ adhesion ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ invasion ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
836
+
837
+ 210
838
+ 00:17:33,670 --> 00:17:38,590
839
+ ู‡ู†ุงุฎุฏ ูƒู…ุซุงู„ ุงู„ุฏูˆุฑ ุงู„ู„ูŠ ุจูŠู„ุนุจู‡ ุงู„ู€ SARC ุงู„ู„ูŠ ุนุจุงุฑุฉ
840
+
841
+ 211
842
+ 00:17:38,590 --> 00:17:42,930
843
+ ุนู† Intracellular Tyrosine Kinase ูˆุงู„ู€ SARC ุฐูƒุฑู†ุงู‡
844
+
845
+ 212
846
+ 00:17:42,930 --> 00:17:47,490
847
+ ููŠ ุงู„ู€ slides ุงู„ุณุงุจู‚ุฉ ูˆูŠู‚ูˆู„ ุฅู† ู‡ูˆ ุถู…ู† ู…ุฌู…ูˆุนุฉ ู…ู†
848
+
849
+ 213
850
+ 00:17:47,490 --> 00:17:53,550
851
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชุญุชูˆูŠ ุนู„ู‰ SH2 ูˆSH3 domains ูŠุจู‚ู‰
852
+
853
+ 214
854
+ 00:17:53,550 --> 00:17:56,870
855
+ ุงู„ู€ SARC plays an important role upon EGF receptor
856
+
857
+ 215
858
+ 00:17:56,870 --> 00:18:01,930
859
+ activation ูŠุจู‚ู‰ ุงู„ู„ูŠ ู‡ูŠุนู…ู„ ุงู„ activation ู„ู€ SARCู‡ูˆ
860
+
861
+ 216
862
+ 00:18:01,930 --> 00:18:06,530
863
+ ุงู„ .. ุงู„ .. ุงู„ activated epidermal growth factor
864
+
865
+ 217
866
+ 00:18:06,530 --> 00:18:11,230
867
+ receptor ูˆ ุจุนุฏ ู‡ูŠูƒ ุงู„ SARC ุฒูŠ ู…ุง ู‚ู„ู†ุง ู„ู‡ ุฃูˆ ุจูŠู„ุนุจ
868
+
869
+ 218
870
+ 00:18:11,230 --> 00:18:14,350
871
+ ุฏูˆุฑ ููŠ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ processes ุฒูŠ cell
872
+
873
+ 219
874
+ 00:18:14,350 --> 00:18:17,450
875
+ proliferation regulation of cell adhesion invasion
876
+
877
+ 220
878
+ 00:18:17,450 --> 00:18:21,310
879
+ and motility SARC is a phosphoprotein which
880
+
881
+ 221
882
+ 00:18:21,310 --> 00:18:27,710
883
+ contains SARC homology domains ูŠุนู†ูŠ ุงู„ SH2 ูˆSH3 ูˆ
884
+
885
+ 222
886
+ 00:18:27,710 --> 00:18:32,900
887
+ ุงู„ู„ูŠ ุนู† ุทุฑูŠู‚ู‡ุง ู‡ูŠุตูŠุฑ ููŠู‡ุง ุงู†ู‡ูŠ activation ู„ู€ SARC
888
+
889
+ 223
890
+ 00:18:32,900 --> 00:18:37,760
891
+ ูˆุจุนุฏูŠู† ุจุงุฑุชุจุงุทู‡ุง ุทุจุนุง ู…ุน ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุนู† ุทุฑูŠู‚
892
+
893
+ 224
894
+ 00:18:37,760 --> 00:18:43,040
895
+ ุงู„ู€SH3 ู‡ุชุนู…ู„ activation ู„ ุงู„ other proteins ุฃูŠุถุง
896
+
897
+ 225
898
+ 00:18:43,040 --> 00:18:48,320
899
+ ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ negative regulatory domain near
900
+
901
+ 226
902
+ 00:18:48,320 --> 00:18:52,700
903
+ the carboxy terminus ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุถุนูˆู†ุง ุจุงู„ figure
904
+
905
+ 227
906
+ 00:18:52,700 --> 00:18:59,180
907
+ ู‡ุงู† ููŠ ุฃู† ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู„ู€SARC ุจูŠุญุชูˆูŠ ุนู„ู‰ ุงู„ู€SH3ุนู†
908
+
909
+ 228
910
+ 00:18:59,180 --> 00:19:03,440
911
+ ุงู„ู€ SH3 domain ูˆุนู† ุงู„ู€ kinase ุทุจุนุง domain ุฑุญ ูŠุนู…ู„
912
+
913
+ 229
914
+ 00:19:03,440 --> 00:19:08,600
915
+ ููˆุณููˆุฑูŠู„ูŠุดู† ู„ู€ other proteins ุฃูŠุถุง ุจุงู„ุฅุถุงูุฉ ู„ู€
916
+
917
+ 230
918
+ 00:19:08,600 --> 00:19:12,760
919
+ negative regulatory domain ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‚ุน near the
920
+
921
+ 231
922
+ 00:19:12,760 --> 00:19:16,880
923
+ carboxy terminus ูˆ ุงู„ู„ูŠ ุจูŠุนู…ู„ inhibition ู„ ุงู„
924
+
925
+ 232
926
+ 00:19:16,880 --> 00:19:21,580
927
+ kinase domain the activated kinase ุงู„ู„ูŠ ู‡ูˆ SARC
928
+
929
+ 233
930
+ 00:19:21,580 --> 00:19:26,440
931
+ ู‡ุนู…ู„ ููˆุณููˆุฑูŠู„ูŠุดู† for a wide range of target
932
+
933
+ 234
934
+ 00:19:26,440 --> 00:19:30,350
935
+ proteinsู„ุฃู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ kinase
936
+
937
+ 235
938
+ 00:19:30,350 --> 00:19:32,370
939
+ domain ูˆ ุงู„ kinase domain ู‡ุฐู‡ ู‡ุชุนู…ู„ ู„
940
+
941
+ 236
942
+ 00:19:32,370 --> 00:19:37,610
943
+ phosphorylation ู„ other proteins ูˆ ู…ู† ุงู„ proteins
944
+
945
+ 237
946
+ 00:19:37,610 --> 00:19:42,470
947
+ ุงู„ู„ูŠ ุญุตู„ู‡ุง phosphorylation ูˆ activation ุงู† ู…ุฌู…ูˆุนุฉ
948
+
949
+ 238
950
+ 00:19:42,470 --> 00:19:46,910
951
+ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุฉ ุชุณู…ู‰ focal adhesion proteins ูˆ ู‡ุฐู‡
952
+
953
+ 239
954
+ 00:19:46,910 --> 00:19:51,410
955
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู†ุงุช ู…ู‡ู…ุฉ ู„ ุง๏ฟฝ๏ฟฝ adhesion ูˆ
956
+
957
+ 240
958
+ 00:19:51,410 --> 00:19:56,790
959
+ ุฃูŠุถุง ู„ ุงู„ mortalityุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
960
+
961
+ 241
962
+ 00:19:56,790 --> 00:20:03,310
963
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
964
+
965
+ 242
966
+ 00:20:03,310 --> 00:20:05,310
967
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
968
+
969
+ 243
970
+ 00:20:05,310 --> 00:20:06,810
971
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
972
+
973
+ 244
974
+ 00:20:06,810 --> 00:20:08,390
975
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
976
+
977
+ 245
978
+ 00:20:08,390 --> 00:20:08,630
979
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
980
+
981
+ 246
982
+ 00:20:08,630 --> 00:20:13,290
983
+ ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน ุงู„ูˆุถุน
984
+
985
+ 247
986
+ 00:20:13,290 --> 00:20:14,050
987
+ ุงู„ูˆุถุน
988
+
989
+ 248
990
+ 00:20:16,570 --> 00:20:21,070
991
+ Expression ู„ุง ู‡ุงุฏู‰ ู„ุจุฑูˆุชูŠู†ุฒ ูˆุตุงุฑ ููŠู‡ ุฃู† assembly
992
+
993
+ 249
994
+ 00:20:21,070 --> 00:20:26,770
995
+ ู„ุง ู‡ุงุฏู‰ ู„ุจุฑูˆุชูŠู†ุฒ ุจู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠุนู…ู„ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„
996
+
997
+ 250
998
+ 00:20:26,770 --> 00:20:30,710
999
+ adherence ู„ ุงู„ุฎู„ูŠุฉ ู‡ุชุฑุชุจุท ุงู„ุฎู„ูŠุฉ ู…ุน ุงู„ extra
1000
+
1001
+ 251
1002
+ 00:20:30,710 --> 00:20:35,930
1003
+ cellular matrixู„ูƒู† ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุง disassembly
1004
+
1005
+ 252
1006
+ 00:20:35,930 --> 00:20:38,970
1007
+ ู„ ุงู„ focal adhesion proteins ู…ุนู†ุงู‡ ุชูˆู‡ุง ุงู„ุฎู„ูŠุฉ
1008
+
1009
+ 253
1010
+ 00:20:38,970 --> 00:20:43,290
1011
+ ู‡ุชุตูŠุฑ motile ูˆู…ู…ูƒู† ูŠููƒูŠ ุงุฑุชุจุงุทู‡ุง ู…ุน ุงู„
1012
+
1013
+ 254
1014
+ 00:20:43,290 --> 00:20:47,830
1015
+ extracellular matrix ูˆ ุชุจุฏุฃ ุจุงู„ุญุฑูƒุฉ ุฃูŠุถุง ุนู†ุง
1016
+
1017
+ 255
1018
+ 00:20:47,830 --> 00:20:50,110
1019
+ ู…ุฌู…ูˆุนุฉ ุฃุฎุฑู‰ ู…ู† ุงู„ protein ุงู„ู„ูŠ ู‡ูˆ ุงู„ adapter
1020
+
1021
+ 256
1022
+ 00:20:50,110 --> 00:20:56,490
1023
+ proteinsุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ
1024
+
1025
+ 257
1026
+ 00:20:56,490 --> 00:21:02,510
1027
+ ุงู„ signal transduction ูˆุจุฑุถู‡ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุจุชู„ุนุจ
1028
+
1029
+ 258
1030
+ 00:21:02,510 --> 00:21:08,770
1031
+ ุฏูˆุฑ ููŠ ุงู„ cell adhesion ูˆ forming a adhesion
1032
+
1033
+ 259
1034
+ 00:21:08,770 --> 00:21:13,090
1035
+ junction to bind cells within tissues together
1036
+
1037
+ 260
1038
+ 00:21:14,450 --> 00:21:18,710
1039
+ ุฃูŠุถู‹ุง ุจุฑุถู‡ ุงู„ู€ Activated Sarc ูˆุงู„ูƒูŠู†ุงุฒุฏูˆู…ูŠู† ู‡ูŠุนู…ู„
1040
+
1041
+ 261
1042
+ 00:21:18,710 --> 00:21:22,550
1043
+ ุจุฑุถู‡ Phosphorylation ู„ู€ Transcription Factors
1044
+
1045
+ 262
1046
+ 00:21:22,550 --> 00:21:27,370
1047
+ ุชู…ุงู…ู‹ุงุŸ ูƒู…ุง ู‚ู„ู†ุง ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุฒ ูŠุนุชุจุฑ Target
1048
+
1049
+ 263
1050
+ 00:21:27,370 --> 00:21:33,530
1051
+ ู„ู„ Activated Kinase ู„ู„ู€ Sarc Protein ุงู„ุขู† ุงู„
1052
+
1053
+ 264
1054
+ 00:21:33,530 --> 00:21:38,290
1055
+ activation of Sarc leads to disassembly of focal
1056
+
1057
+ 265
1058
+ 00:21:38,290 --> 00:21:42,750
1059
+ adhesionsูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุงู† ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง
1060
+
1061
+ 266
1062
+ 00:21:42,750 --> 00:21:45,450
1063
+ disassembly ู„ ุงู„ focal adhesions ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุงูŠุด ููŠ
1064
+
1065
+ 267
1066
+ 00:21:45,450 --> 00:21:49,950
1067
+ ุนู†ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง motility ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰ ุงู„
1068
+
1069
+ 268
1070
+ 00:21:49,950 --> 00:21:53,150
1071
+ activation of SARC leads to disassembly of focal
1072
+
1073
+ 269
1074
+ 00:21:53,150 --> 00:21:57,590
1075
+ adhesions and thereby permits increased motility
1076
+
1077
+ 270
1078
+ 00:21:57,590 --> 00:22:03,090
1079
+ SARC ุฃูŠุถุง regulates cell invasion by inhibiting E
1080
+
1081
+ 271
1082
+ 00:22:03,090 --> 00:22:08,010
1083
+ -cadherin ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„
1084
+
1085
+ 272
1086
+ 00:22:08,010 --> 00:22:13,250
1087
+ chapter ุงู„ุชุงุณุนู„ู…ุง ู†ุญูƒูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู„ู‰ ุงู„ู€
1088
+
1089
+ 273
1090
+ 00:22:13,250 --> 00:22:17,930
1091
+ metastases ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู„ูŠ
1092
+
1093
+ 274
1094
+ 00:22:17,930 --> 00:22:23,570
1095
+ ู‚ู„ู†ุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ ุงู„ู€ oncogenes ูˆ ู‡ู†ุดูˆู ุงู„ุขู† ูƒูŠู
1096
+
1097
+ 275
1098
+ 00:22:23,570 --> 00:22:30,470
1099
+ ู…ู…ูƒู† ุงู„ุชุบูŠุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ููŠ ุงู„ signaling pathway ูƒูŠู
1100
+
1101
+ 276
1102
+ 00:22:30,470 --> 00:22:35,800
1103
+ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ุง oncogenesูˆ ู‡ุฐู‡ ุงู„ู€ oncogenes ุชุฒูŠุฏ
1104
+
1105
+ 277
1106
+ 00:22:35,800 --> 00:22:40,180
1107
+ ููŠ ุงู„ proliferation ู„ู„ุฎู„ุงูŠุง ูˆุชุคุฏูŠ ุฅู„ู‰ cancer ู„ุฃู†ู‡
1108
+
1109
+ 278
1110
+ 00:22:40,180 --> 00:22:43,740
1111
+ ุงุญู†ุง ู‚ู„ู†ุง ุฃู†ู‡ ุจุฏู†ุง ู†ูู‡ู… ุฃูˆู„ ุฅุดูŠ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ
1112
+
1113
+ 279
1114
+ 00:22:43,740 --> 00:22:49,620
1115
+ ุงู„ุฎู„ูŠุฉ ุจุดูƒู„ ุทุจูŠุนูŠ ุนุดุงู† ู†ู‚ุฏุฑ ู†ูู‡ู… ุจุนุฏ ู‡ูŠูƒ ุงู„ุชุบูŠุฑุงุช
1116
+
1117
+ 280
1118
+ 00:22:49,620 --> 00:22:54,360
1119
+ ุงู„ู„ูŠ ุจุชุตูŠุฑ ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancer cancer
1120
+
1121
+ 281
1122
+ 00:22:54,360 --> 00:23:00,190
1123
+ arises from mutations in genesุงู„ุชูŠ ุชุชุนุงู…ู„ ู…ุน
1124
+
1125
+ 282
1126
+ 00:23:00,190 --> 00:23:05,810
1127
+ ุงุฎุชู„ุงู ุงู„ุซู„ุงุซุฉ ุฃูˆ ุงู„ู…ูˆุช ูˆุฅู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนู…ู„ูŠุงุช
1128
+
1129
+ 283
1130
+ 00:23:05,810 --> 00:23:11,010
1131
+ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุงู„ู€ mutated
1132
+
1133
+ 284
1134
+ 00:23:11,010 --> 00:23:15,990
1135
+ genes that contribute to carcinogenesis ุฅู† ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:23:15,990 --> 00:23:21,020
1139
+ oncogenes ูˆ ุงู„ tumor suppressor genesุจู‡ุฐู‡ ุงู„ู€
1140
+
1141
+ 286
1142
+ 00:23:21,020 --> 00:23:26,720
1143
+ Genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูˆ
1144
+
1145
+ 287
1146
+ 00:23:26,720 --> 00:23:30,820
1147
+ ุงู„ุชู„ุงุชุฉ ุงู„ู„ูŠ ู‡ูˆ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ูˆุทุจุนุง ุงู„ู€
1148
+
1149
+ 288
1150
+ 00:23:30,820 --> 00:23:35,140
1151
+ Oncogenes ุฅุฐุง ุฃุตุบุฑ ููŠ ุนู†ุฏู†ุง Imitation ู„ู€ Oncogenes
1152
+
1153
+ 289
1154
+ 00:23:35,140 --> 00:23:41,910
1155
+ ูู‡ุฐุง ุจูŠุฒูŠุฏู…ู† ุงู„ู€ cell proliferation ูˆุทุจุนุง ุฅุฐุง ูƒุงู†
1156
+
1157
+ 290
1158
+ 00:23:41,910 --> 00:23:44,850
1159
+ ุตุงุฑ ููŠู†ุง mutation ู„ู€ tumor sub-resergenes ูˆุฏู‡ ุงู„ู„ูŠ
1160
+
1161
+ 291
1162
+ 00:23:44,850 --> 00:23:48,990
1163
+ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุจุงู„ุชูุตูŠู„ ููŠ chapter ู„ุงุญู‚ ุงู„ tumor sub
1164
+
1165
+ 292
1166
+ 00:23:48,990 --> 00:23:52,150
1167
+ -resergenes ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง mutation ูˆูู‚ุฏุช ุงู„
1168
+
1169
+ 293
1170
+ 00:23:52,150 --> 00:23:56,410
1171
+ functionูŠุจู‚ู‰ ู‡ุฐุง ุจุฑุถู‡ ู‡ูŠุคุฏูŠ ุฅู„ู‰ cancer ู„ุฃู† ุงู„
1172
+
1173
+ 294
1174
+ 00:23:56,410 --> 00:24:00,170
1175
+ tumor suppressor genes ุจุชู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ cancer
1176
+
1177
+ 295
1178
+ 00:24:00,170 --> 00:24:04,970
1179
+ Oncogene is a mutated gene whose protein product
1180
+
1181
+ 296
1182
+ 00:24:04,970 --> 00:24:10,210
1183
+ is produced in higher quantities ูŠุจู‚ู‰ a mutation
1184
+
1185
+ 297
1186
+ 00:24:10,210 --> 00:24:17,570
1187
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ูƒู…ูŠุฉ ุงู„ protein ุจูŠุชู… ุฅู†ุชุงุฌู‡
1188
+
1189
+ 298
1190
+ 00:24:17,570 --> 00:24:22,240
1191
+ ูˆ ุงู„ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุนู„ุงู‚ุฉููŠ ุงู„ cell
1192
+
1193
+ 299
1194
+ 00:24:22,240 --> 00:24:27,940
1195
+ growth ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฃูˆ ุงู„ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู†
1196
+
1197
+ 300
1198
+ 00:24:27,940 --> 00:24:33,180
1199
+ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ู…ู†ุน ุงู„ apoptosis ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„
1200
+
1201
+ 301
1202
+ 00:24:33,180 --> 00:24:37,260
1203
+ proteins ุงู„ู„ูŠ ู‡ูŠ ุชุนุชุจุฑ anti-apoptotic ูŠุจู‚ู‰ ู„ู†ุง
1204
+
1205
+ 302
1206
+ 00:24:37,260 --> 00:24:44,300
1207
+ ุจูŠุตูŠุฑ ู…ู…ูƒู† ุฒูŠุงุฏุฉ ููŠ ุงู„ quantity ุฃูˆ whose alerted
1208
+
1209
+ 303
1210
+ 00:24:44,300 --> 00:24:49,490
1211
+ product has increased activityูŠุจู‚ู‰ ู…ู…ูƒู† ุชุฒูŠุฏ
1212
+
1213
+ 304
1214
+ 00:24:49,490 --> 00:24:56,130
1215
+ ุงู„ูƒู…ูŠุฉ ุฃูˆ ู…ู…ูƒู† ุชุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ activity ุชู…ุงู…ุŸ ุฒูŠ ู…ุง
1216
+
1217
+ 305
1218
+ 00:24:56,130 --> 00:25:01,590
1219
+ ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ุฃู†ู‡ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
1220
+
1221
+ 306
1222
+ 00:25:01,590 --> 00:25:07,190
1223
+ ู„epidermal growth factor receptor ูˆ ุงู„ mutation
1224
+
1225
+ 307
1226
+ 00:25:07,190 --> 00:25:12,150
1227
+ ู‡ุฐู‡ ุชุฎู„ูŠ ุงู„ receptor ุฏุงูŠู…ุง ูƒูˆู† ููŠ ุนู†ุฏูŠ turn on
1228
+
1229
+ 308
1230
+ 00:25:12,150 --> 00:25:17,270
1231
+ signal ููŠ ุงู„ receptor ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ mutation ุชุคุฏูŠ
1232
+
1233
+ 309
1234
+ 00:25:18,510 --> 00:25:22,910
1235
+ ุงู„ู‰ always on signal ุฒู‰ ู…ุง ู‚ู„ู†ุง ูู‰ ุญุงู„ ุงู„
1236
+
1237
+ 310
1238
+ 00:25:22,910 --> 00:25:25,770
1239
+ reception ู„ูˆ ุตุงุฑ ูู‰ ุนู†ุฏู‰ a mutation ูˆุตู„ู‡
1240
+
1241
+ 311
1242
+ 00:25:25,770 --> 00:25:32,890
1243
+ phosphorylation ูˆุตุงุฑุช ุนู†ุฏู‰ ุงู„ุงุดุงุฑุฉ ุฏุงูŠู…ุง on all
1244
+
1245
+ 312
1246
+ 00:25:32,890 --> 00:25:36,890
1247
+ non-oncogenes are altered forms of normal genes
1248
+
1249
+ 313
1250
+ 00:25:36,890 --> 00:25:43,710
1251
+ ูŠุจู‚ู‰ ุงู„ oncogenes ู‡ู… ุฃุตู„ุง normal genes ุฒู‰ ู…ุง ู‡ู†ุดูˆู
1252
+
1253
+ 314
1254
+ 00:25:43,710 --> 00:25:48,610
1255
+ ุงู„ุฃู† ุฃู…ุซู„ุฉ ู…ุฎุชู„ูุฉู„ูƒู† ู‡ุฐู‡ ุงู„ู€ Normal Gene ุตุงุฑ ููŠู‡ุง
1256
+
1257
+ 315
1258
+ 00:25:48,610 --> 00:25:56,330
1259
+ mutation ูˆุงุชุญูˆู„ุช ุฅู„ู‰ Oncogene ูˆ ุงู„ู€ Normal Gene
1260
+
1261
+ 316
1262
+ 00:25:56,330 --> 00:26:03,150
1263
+ ุจู†ุณู…ูŠู‡ Proto-Oncogene ูŠุจู‚ู‰ ุงู„ู€ Proto-Oncogene ุฅุฐุง
1264
+
1265
+ 317
1266
+ 00:26:03,150 --> 00:26:08,910
1267
+ ูƒุงู† ุตุงุฑ ููŠู‡ mutation ู‡ูŠุชุญูˆู„ ุฅู„ู‰ Oncogene
1268
+
1269
+ 318
1270
+ 00:26:10,770 --> 00:26:11,830
1271
+ ุนู„ู‰ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ
1272
+
1273
+ 319
1274
+ 00:26:11,830 --> 00:26:12,590
1275
+ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1276
+
1277
+ 320
1278
+ 00:26:12,590 --> 00:26:15,050
1279
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1280
+
1281
+ 321
1282
+ 00:26:15,050 --> 00:26:15,850
1283
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1284
+
1285
+ 322
1286
+ 00:26:15,850 --> 00:26:24,070
1287
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1288
+
1289
+ 323
1290
+ 00:26:24,070 --> 00:26:24,110
1291
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1292
+
1293
+ 324
1294
+ 00:26:24,110 --> 00:26:27,950
1295
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1296
+
1297
+ 325
1298
+ 00:26:27,950 --> 00:26:35,590
1299
+ ุฃูƒุชุฑ ู…ู† ุฃูƒุชุฑ ู…ู†
1300
+
1301
+ 326
1302
+ 00:26:35,590 --> 00:26:42,310
1303
+ ุฃูƒุชู…ุงู… ูˆ ุงู„ gene ุงู„ู„ูŠ ู‡ูˆ ุงู„ normal gene ุฃูˆ proto
1304
+
1305
+ 327
1306
+ 00:26:42,310 --> 00:26:47,550
1307
+ -oncogene ุจู†ุญุท ุงู„ู„ูŠ ู‡ูˆ ุฌุงุจ ู„ูŠู‡ C ูŠุจู‚ู‰ C-SARC
1308
+
1309
+ 328
1310
+ 00:26:47,550 --> 00:26:52,490
1311
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ normal cellular gene ุงู„ู„ูŠ ู‡ูˆ
1312
+
1313
+ 329
1314
+ 00:26:52,490 --> 00:26:59,150
1315
+ proto-oncogene ุงู„ุขู† ู‡ุฐุง ุงู„ gene ู„ูˆ ุตุงุฑ ููŠ mutation
1316
+
1317
+ 330
1318
+ 00:26:59,150 --> 00:27:05,580
1319
+ ูˆุงุชุญูˆู„ ุฅู„ู‰ oncogeneูŠุจู‚ู‰ ู…ู…ูƒู† ู†ุถูŠู ู‚ุจู„ู‡ ุงู„ู„ูŠ ู‡ูˆ V
1320
+
1321
+ 331
1322
+ 00:27:05,580 --> 00:27:11,500
1323
+ ุงู„ู€Altered Form Transused by Retroviruses ุงู„ู„ูŠ
1324
+
1325
+ 332
1326
+ 00:27:11,500 --> 00:27:16,440
1327
+ ุจูŠุจู‚ู‰ V-SARC ุงู„ู€V-SARC Sequence Lacks ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
1328
+
1329
+ 333
1330
+ 00:27:16,440 --> 00:27:22,260
1331
+ ูƒู…ุซุงู„ ูƒูŠู ุงู„ู€Proto-Oncogene ูƒูŠู ู…ู…ูƒู† ูŠุชุญูˆู„ ุฅู„ู‰
1332
+
1333
+ 334
1334
+ 00:27:22,260 --> 00:27:28,320
1335
+ Oncogene ุงู„ู€V-SARC Sequence Lacks The Carboxy
1336
+
1337
+ 335
1338
+ 00:27:28,320 --> 00:27:32,400
1339
+ Terminal Negative Regulatory Domainุฃู‡ ู‚ุจู„ ุดูˆูŠุฉ ู„ู…ุง
1340
+
1341
+ 336
1342
+ 00:27:32,400 --> 00:27:36,160
1343
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ุณุงุฑูƒ ู‚ูˆู„ู†ุง ุนู„ู‰ ุงู„ carboxy terminal ููŠ
1344
+
1345
+ 337
1346
+ 00:27:36,160 --> 00:27:41,540
1347
+ ุนู†ุฏู†ุง negative regulatory domain ุงู„ุขู† ุงู„ proto
1348
+
1349
+ 338
1350
+ 00:27:41,540 --> 00:27:44,460
1351
+ -oncogene ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุงุฑูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ normal
1352
+
1353
+ 339
1354
+ 00:27:44,460 --> 00:27:49,560
1355
+ cellular gene ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation ูˆ ุงู„
1356
+
1357
+ 340
1358
+ 00:27:49,560 --> 00:27:55,640
1359
+ mutation ู‡ุฐู‡ ุนู…ู„ุชู„ูŠ deletion ู„ negative regulatory
1360
+
1361
+ 341
1362
+ 00:27:55,640 --> 00:28:01,790
1363
+ domain ูŠุนู†ูŠ ุฃูŠุด ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ุงู„ู€ SARC ู‡ุฐุง
1364
+
1365
+ 342
1366
+ 00:28:01,790 --> 00:28:08,710
1367
+ ู‡ูŠูƒูˆู† always on ู„ุฃู† ุงู„ domain ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡
1368
+
1369
+ 343
1370
+ 00:28:08,710 --> 00:28:14,090
1371
+ inhibition ู…ุด ู…ูˆุฌูˆุฏ ุทุจุนุง ุฒูŠ ู…ุง ูˆุงุถุญ ุจุงู„ figure ู‡ู†ุง
1372
+
1373
+ 344
1374
+ 00:28:14,090 --> 00:28:19,710
1375
+ ูˆ ุจุงู„ุชุงู„ุช ู‡ูŠุชุญูˆู„ ุฅู„ู‰ onco gene ุจุฌู‡ุฉ ุฏู‡ ุงู„ SARC ุฒูŠ
1376
+
1377
+ 345
1378
+ 00:28:19,710 --> 00:28:24,090
1379
+ ู…ุง ูƒู†ุง ุจูŠุญุชูˆูŠ ุนู„ู‰ SH2 ูˆSH3 ูˆููŠ ุนู†ุฏู†ุง ุงู„ kinase
1380
+
1381
+ 346
1382
+ 00:28:24,090 --> 00:28:29,900
1383
+ domainูˆููŠ ุนู†ุฏู†ุง ุงู„ domain ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ negative
1384
+
1385
+ 347
1386
+ 00:28:29,900 --> 00:28:35,880
1387
+ regulatory domain ูŠุจู‚ู‰ ู‡ุงู† ุนู†ุฏู†ุง active domain ูˆ
1388
+
1389
+ 348
1390
+ 00:28:35,880 --> 00:28:38,540
1391
+ ุงู„ kinase domain ู‡ุงู† ู…ู…ูƒู† ูŠุนู…ู„ phosphorylation ู„
1392
+
1393
+ 349
1394
+ 00:28:38,540 --> 00:28:43,160
1395
+ other proteins ู„ูƒู† ู„ูˆ ุงุฑุชุจุท ุนู†ุฏู†ุง ุงู„ negative
1396
+
1397
+ 350
1398
+ 00:28:43,160 --> 00:28:47,080
1399
+ regulatory domain ู…ุน ุงู„ SH2 ู‡ุฐุง ู‡ูŠุชุญูˆู„ ุฅู„ู‰
1400
+
1401
+ 351
1402
+ 00:28:47,080 --> 00:28:53,420
1403
+ inactive sarb ูŠุจู‚ู‰ ู‡ุฐุง ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ proto-oncogene
1404
+
1405
+ 352
1406
+ 00:28:54,090 --> 00:28:58,670
1407
+ ุฃูˆ ุงู„ู€ Normal Cellular Gene ุงู„ุขู† ู…ู…ูƒู† ู‡ุฐุง ูŠุชุญูˆู„
1408
+
1409
+ 353
1410
+ 00:28:58,670 --> 00:29:03,910
1411
+ ุฅู„ู‰ Oncogene ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Normal ุจู†ู‚ูˆู„
1412
+
1413
+ 354
1414
+ 00:29:03,910 --> 00:29:09,990
1415
+ ุนู„ูŠู‡ C-SARC ูˆ ุงู„ Oncogene ุจู†ุณู…ูŠู‡ V-SARC ุจู‡ุฐุง
1416
+
1417
+ 355
1418
+ 00:29:09,990 --> 00:29:15,210
1419
+ ุงู„ุญุงู„ุฉ ุงู†ู‡ ุตุงุฑ deletion ู„ู€ Negative Regulatory
1420
+
1421
+ 356
1422
+ 00:29:15,210 --> 00:29:19,270
1423
+ Domain ุชุงุฑูˆุฒูŠู† ุงู„ู€ Negative Regulatory Domain ู‡ุฐูŠ
1424
+
1425
+ 357
1426
+ 00:29:19,270 --> 00:29:24,350
1427
+ ุตุงุฑ ู„ู‡ุง deletion ุจุทู„ุช ู…ูˆุฌูˆุฏุฉุชู…ุงู… ูˆุจุงู„ุชุงู„ูŠ ูŠุจู‚ู‰ ู…ุด
1428
+
1429
+ 358
1430
+ 00:29:24,350 --> 00:29:28,990
1431
+ ู‡ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ negative regulation ู„ ุงู„ SARC
1432
+
1433
+ 359
1434
+ 00:29:28,990 --> 00:29:33,570
1435
+ ูˆู‡ูŠุณุชู…ุฑ ุงู„ SARC ููŠ ุงู„ activation ูˆ ุงู„
1436
+
1437
+ 360
1438
+ 00:29:33,570 --> 00:29:37,510
1439
+ phosphorylation ู„ ุงู„ other proteins ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู†
1440
+
1441
+ 361
1442
+ 00:29:37,510 --> 00:29:43,410
1443
+ ููŠ ุนู†ุฏูŠ always on signal ูˆู‡ู†ุง ุงู† ุงู„ figure ุจูŠูˆุถุญ
1444
+
1445
+ 362
1446
+ 00:29:43,410 --> 00:29:48,850
1447
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ mutations ููŠ
1448
+
1449
+ 363
1450
+ 00:29:48,850 --> 00:29:55,040
1451
+ genes ู…ุฎุชู„ูุฉ ูˆุงู„ู†ุงุชุฌ ู„ุฃูˆ ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ุงู„ proteins
1452
+
1453
+ 364
1454
+ 00:29:55,040 --> 00:29:59,640
1455
+ ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ ุชูƒูˆูŠู† onco
1456
+
1457
+ 365
1458
+ 00:29:59,640 --> 00:30:04,080
1459
+ genes ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ูŠุนู†ูŠ ุงู†ู†ุง
1460
+
1461
+ 366
1462
+ 00:30:04,080 --> 00:30:07,340
1463
+ ู‡ุงู† ุจุงู„ุจุฏุงูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ growth factor gene
1464
+
1465
+ 367
1466
+ 00:30:07,340 --> 00:30:12,800
1467
+ amplification ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ growth factor gene ู‡ุฐุง
1468
+
1469
+ 368
1470
+ 00:30:12,800 --> 00:30:15,600
1471
+ ูŠุตู„ ู„ู‡ amplification ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง ุฅู†ุชุงุฌ
1472
+
1473
+ 369
1474
+ 00:30:15,600 --> 00:30:21,720
1475
+ ู„ูƒู…ูŠุงุช ุฃูƒุจุฑ ู…ู† ุงู„ growth factors ู…ู…ูƒู† ุฃูŠุถุงูŠุตูŠุฑ ููŠู‡
1476
+
1477
+ 370
1478
+ 00:30:21,720 --> 00:30:26,200
1479
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ amplification ู„ ุงู„ receptor gene
1480
+
1481
+ 371
1482
+ 00:30:26,200 --> 00:30:32,410
1483
+ ุชู…ุงู…ุŸ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ receptorsูˆุฅุฐุง
1484
+
1485
+ 372
1486
+ 00:30:32,410 --> 00:30:36,150
1487
+ ูƒุงู† ุฒูŠุงุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ู€ Receptors ูŠุจู‚ู‰ ุญุชู‰ ู…ุน ูˆุฌูˆุฏ
1488
+
1489
+ 373
1490
+ 00:30:36,150 --> 00:30:40,610
1491
+ ู…ู…ูƒู† ุนุฏุฏ ู‚ู„ูŠู„ ู…ู† ุงู„ู€ Growth Factors ุฅู„ุง ุฅู†ู‡ ู‡ุฐุง
1492
+
1493
+ 374
1494
+ 00:30:40,610 --> 00:30:45,490
1495
+ ุงู„ุนุฏุฏ ุงู„ู‚ู„ูŠู„ ู…ู…ูƒู† ูŠุนู…ู„ูŠ Signaling ูŠุจู‚ู‰ Receptor
1496
+
1497
+ 375
1498
+ 00:30:45,490 --> 00:30:48,510
1499
+ gene amplification ุฃูˆ ู…ู…ูƒู† ุฃูŠุถุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1500
+
1501
+ 376
1502
+ 00:30:48,510 --> 00:30:53,470
1503
+ mutation ููŠ ุงู„ Receptors ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ
1504
+
1505
+ 377
1506
+ 00:30:53,470 --> 00:30:57,490
1507
+ ู…ู…ูƒู† ูŠุตูŠุฑ mutation ููŠ ุงู„ Receptor ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ
1508
+
1509
+ 378
1510
+ 00:30:57,490 --> 00:31:03,270
1511
+ always onreceptor ุฃูŠุถู‹ุง signaling molecule locked
1512
+
1513
+ 379
1514
+ 00:31:03,270 --> 00:31:08,970
1515
+ in active configuration ุชู…ุงู… ูŠุจู‚ู‰ ู…ู…ูƒู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง
1516
+
1517
+ 380
1518
+ 00:31:08,970 --> 00:31:11,750
1519
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุจุนุฏ ู‡ูŠูƒ ุฃูƒุชุฑ ู…ู† ุงู„ุจุฑูˆุชูŠู† ุจูŠู„ุนุจ ุฏูˆุฑ
1520
+
1521
+ 381
1522
+ 00:31:11,750 --> 00:31:15,470
1523
+ ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุงู„ุฑุฃุณ ูˆููŠ ุนู†ุฏู†ุง ุงู„ุฑุงู ูˆููŠ ุนู†ุฏู†ุง ุงู„
1524
+
1525
+ 382
1526
+ 00:31:15,470 --> 00:31:20,230
1527
+ map ุงู„ู„ูŠ ู‡ูˆ kinase cascade ูŠุจู‚ู‰ ู‡ุงู† ู…ู…ูƒู† ูˆุงุญุฏ ู…ู†
1528
+
1529
+ 383
1530
+ 00:31:20,230 --> 00:31:25,510
1531
+ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุชู…ุงู… ูŠุตูŠุฑ ููŠู‡ mutation ูˆูŠุตูŠุฑ always
1532
+
1533
+ 384
1534
+ 00:31:25,510 --> 00:31:31,030
1535
+ on ูˆู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ุฑุฃุณ ูˆุนู†ุฏู†ุงุงู„ุฑุงู ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู†
1536
+
1537
+ 385
1538
+ 00:31:31,030 --> 00:31:38,430
1539
+ ู‡ู†ุง ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„ deletion ุงูˆ ุงู„ methylation ู„ ุงู„
1540
+
1541
+ 386
1542
+ 00:31:38,430 --> 00:31:42,810
1543
+ tumor suppressor genes deletion or methylation
1544
+
1545
+ 387
1546
+ 00:31:42,810 --> 00:31:45,430
1547
+ induce silencing of genes encoding negative
1548
+
1549
+ 388
1550
+ 00:31:45,430 --> 00:31:49,110
1551
+ regulators ุชู…ุงู… ูŠู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ tumor suppressor
1552
+
1553
+ 389
1554
+ 00:31:49,110 --> 00:31:55,020
1555
+ genes ู‡ุฐู‡ ูŠุตูŠุฑ ููŠู‡ุง ู…ุดูƒู„ุฉู…ู…ูƒู† ุฃูŠุถู‹ุง ูŠุตูŠุฑ ุนู†ุฏู†ุง
1556
+
1557
+ 390
1558
+ 00:31:55,020 --> 00:31:59,080
1559
+ ู…ุดูƒู„ุฉ ุจุงู„ู€ transcription factor ู†ูุณู‡ ุฅุฐุง ุงู„ู€
1560
+
1561
+ 391
1562
+ 00:31:59,080 --> 00:32:03,040
1563
+ transcription factor gene amplification ุฃูˆ ุงู„ู€
1564
+
1565
+ 392
1566
+ 00:32:03,040 --> 00:32:07,580
1567
+ translocation ุฃุบู„ุจู‡ุง ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„ expression
1568
+
1569
+ 393
1570
+ 00:32:07,580 --> 00:32:11,880
1571
+ ู„ู€ transcription factors ุฃูˆ ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุงู„
1572
+
1573
+ 394
1574
+ 00:32:11,880 --> 00:32:14,360
1575
+ translocation ู„ู€ transcription factor ุงู„ู„ูŠ ู‡ูˆ
1576
+
1577
+ 395
1578
+ 00:32:14,360 --> 00:32:18,220
1579
+ ุงู†ุชู‚ุงู„ ู„ู€ transcription factor ู…ู† ุงู„ู€ cytoplasm
1580
+
1581
+ 396
1582
+ 00:32:18,220 --> 00:32:21,980
1583
+ ุฅู„ู‰ุฃู†ูˆุงุน ุทุจุนุง ู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ target
1584
+
1585
+ 397
1586
+ 00:32:21,980 --> 00:32:25,580
1587
+ gene activation for example cell cycle regulatory
1588
+
1589
+ 398
1590
+ 00:32:25,580 --> 00:32:29,540
1591
+ gene cycling ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู†ุงู‚ู„ู‡ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„
1592
+
1593
+ 399
1594
+ 00:32:29,540 --> 00:32:34,800
1595
+ cell cycle ูˆ ุงู„ proliferation ู„ ุงู„ุฎู„ูŠุฉ ุทูŠุจ ู‡ู†ุจุฏุฃ
1596
+
1597
+ 400
1598
+ 00:32:34,800 --> 00:32:40,660
1599
+ ุงู„ุขู† ุจุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ุฎุทูˆุงุช
1600
+
1601
+ 401
1602
+ 00:32:40,660 --> 00:32:46,260
1603
+ ุงู„ู…ุฎุชู„ูุฉ ูˆ ู‡ู†ุจุฏุฃ ุจ growth factors protein product
1604
+
1605
+ 402
1606
+ 00:32:46,260 --> 00:32:52,100
1607
+ of viral oncogeneV-SYS ู‡ูˆ ุตูŠุทูˆุจู„ุงุฒู…ูŠูƒ ูˆูƒุงู† ูˆุฌุฏู‹ุง
1608
+
1609
+ 403
1610
+ 00:32:52,100 --> 00:32:59,020
1611
+ ุชูƒูˆู† ุชุฑู†ูƒุงุชูŠุฉ ุชุฌุงุฑุจ ุชู†ุฒูŠู ุนุงู…ู‹ุง ู…ุญูุธุฉ ุจุทูˆู„ุงุช ุชุณู…ู‰
1612
+
1613
+ 404
1614
+ 00:32:59,020 --> 00:33:04,960
1615
+ ุจุทูˆู„ุฉ ุชู†ุฒูŠู ุนุงู…ุฉ ุชู…ุงู… ูŠุจู‚ู‰ ุนู†ุฏู†ุง ุงู„ proto-oncogen
1616
+
1617
+ 405
1618
+ 00:33:04,960 --> 00:33:14,580
1619
+ ู„ ุงู„-SYS gene ุงู„ู„ูŠ ู‡ูˆ ุฃูŠุถู‹ุง ูŠุณู…ู‰ ุจุทูˆู„ุฉ ุชู†ุฒูŠู ุนุงู…ุฉ
1620
+
1621
+ 406
1622
+ 00:33:16,820 --> 00:33:22,580
1623
+ ูŠุจู‚ู‰ CSS ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Normal Cellular Gene ูˆุฒูŠ
1624
+
1625
+ 407
1626
+ 00:33:22,580 --> 00:33:27,740
1627
+ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ ูŠุณู…ู‰ ุฃูŠุถู‹ุง Proto-Oncogene ุงู„ุขู† ุงู„ู€
1628
+
1629
+ 408
1630
+ 00:33:27,740 --> 00:33:31,220
1631
+ Oncogene ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุงุฑุน ุงู„ู€ Oncogene ุงู„ู€ Vcess
1632
+
1633
+ 409
1634
+ 00:33:31,220 --> 00:33:38,800
1635
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู†ุณุฎุฉ ุงู„ู„ูŠ Mutated ู„ู„ู€ Normal Gene ูˆุงู„ู„ูŠ
1636
+
1637
+ 410
1638
+ 00:33:38,800 --> 00:33:48,880
1639
+ ุณู…ู†ุงู‡ุง Vcess ุงู„ู€ Vcessุงู„ product ู„ ุงู„ Vcess ุนุจุงุฑุฉ
1640
+
1641
+ 411
1642
+ 00:33:48,880 --> 00:33:54,280
1643
+ ุนู† truncated protein truncated version of a growth
1644
+
1645
+ 412
1646
+ 00:33:54,280 --> 00:33:58,160
1647
+ factor ูŠุจู‚ู‰ a growth factor ู„ูƒู† ู…ุด ูƒุงู…ู„ ุจู‚ู‰ ุตุงุฑ
1648
+
1649
+ 413
1650
+ 00:33:58,160 --> 00:34:05,120
1651
+ ููŠุงู†ุง ุฃุซู†ุงุก ุนู…ู„ูŠุฉ ุงู„ translation ูƒุงู† ููŠุงู†ุง ุงู„ู„ูŠ ู‡ูˆ
1652
+
1653
+ 414
1654
+ 00:34:05,120 --> 00:34:10,260
1655
+ stop codon ูˆุจุงู„ุชุงู„ูŠ ุงู„ protein ุงู„ู„ูŠ ู†ุงุชุฌุงู„ุจุฑูˆุชูŠู†
1656
+
1657
+ 415
1658
+ 00:34:10,260 --> 00:34:14,260
1659
+ ู…ุด ูƒุงู…ู„ ุงู„ุงู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ platelet
1660
+
1661
+ 416
1662
+ 00:34:14,260 --> 00:34:18,900
1663
+ derived growth factor ูŠุนุชุจุฑ component of a wound
1664
+
1665
+ 417
1666
+ 00:34:18,900 --> 00:34:26,000
1667
+ response ูˆ ุงู„ูˆุธูŠูุฉ ุงู„ุทุจูŠุนูŠุฉ ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู‡ูˆ
1668
+
1669
+ 418
1670
+ 00:34:26,000 --> 00:34:30,380
1671
+ stimulation ู„epithelial cells around the wound
1672
+
1673
+ 419
1674
+ 00:34:30,380 --> 00:34:35,560
1675
+ edge to proliferate and repair the damageููŠ ุญุงู„
1676
+
1677
+ 420
1678
+ 00:34:35,560 --> 00:34:40,860
1679
+ ุตุงุฑ ููŠ ุนู†ุง ุฌุฑุญ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุง release ู„ู€platelet
1680
+
1681
+ 421
1682
+ 00:34:40,860 --> 00:34:45,660
1683
+ -derived growth factor ูˆู‡ุฐุง ู‡ูŠุนู…ู„ stimulation
1684
+
1685
+ 422
1686
+ 00:34:45,660 --> 00:34:51,240
1687
+ ู„ู„ู€epithelial cells to proliferate ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ
1688
+
1689
+ 423
1690
+ 00:34:51,240 --> 00:34:56,720
1691
+ ููŠ ุนู†ุง repair ู„ู€damage ุงู„ู„ูŠ ุตุงุฑ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูˆุธูŠูุฉ
1692
+
1693
+ 424
1694
+ 00:34:56,720 --> 00:35:02,260
1695
+ ุงู„ุทุจูŠุนูŠุฉ ุงู„ู„ูŠ ุจุชุตูŠุฑุฅู†ู‡ ุงู„ุจุฑูˆุชูŠู† ุงู„ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ูˆ
1696
+
1697
+ 425
1698
+ 00:35:02,260 --> 00:35:09,580
1699
+ ุงู„ู€ C-Cys ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ BDGF ุจูŠุณู„ู‡ release ุฎุงุฑุฌ
1700
+
1701
+ 426
1702
+ 00:35:09,580 --> 00:35:15,400
1703
+ ุงู„ุฎู„ูŠุฉ ุนุดุงู† ูŠู‚ูˆู… ุจูˆุธูŠูุชู‡ ูˆู‡ูŠ ุงู„ู€ proliferation ูˆ
1704
+
1705
+ 427
1706
+ 00:35:15,400 --> 00:35:20,020
1707
+ ุงู„ repair ููŠ ุญุงู„ ูˆุฌูˆุฏ ุฌุฑุญ ุทูŠุจ ุงู„ุขู† ู„ู€ Truncated
1708
+
1709
+ 428
1710
+ 00:35:20,020 --> 00:35:27,830
1711
+ ุจุฑูˆุชูŠู†ู‡ุฐุง ู…ูˆุฌูˆุฏ ููŠ .. ุฒูŠ ู…ุง ุญูƒูŠู†ุง ููŠ ุงู„ู€Cytoplasm
1712
+
1713
+ 429
1714
+ 00:35:27,830 --> 00:35:31,570
1715
+ ูŠุจู‚ู‰ ุงู„ .. ุงู„ .. ุงู„ Vesis ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
1716
+
1717
+ 430
1718
+ 00:35:31,570 --> 00:35:36,370
1719
+ Cytoplasmic ูˆ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง Truncated Version The
1720
+
1721
+ 431
1722
+ 00:35:36,370 --> 00:35:39,770
1723
+ significance of the oncogenic form maybe .. ุงู„ุขู†
1724
+
1725
+ 432
1726
+ 00:35:39,770 --> 00:35:43,510
1727
+ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ุจู‡ุฐุง ุงู„ .. ุงู„ Mutated Form ุฃูˆ ุงู„
1728
+
1729
+ 433
1730
+ 00:35:43,510 --> 00:35:48,710
1731
+ Truncated Version of the Growth FactorุŸ ุฃูˆู„ ุฅุดูŠุŒ
1732
+
1733
+ 434
1734
+ 00:35:48,710 --> 00:35:53,140
1735
+ it's a parent locationุงู„ู„ูŠ ู‡ูˆ ู…ูˆู‚ุนู‡ุงุŒ ู…ูˆู‚ุน ู‡ุฐุง
1736
+
1737
+ 435
1738
+ 00:35:53,140 --> 00:35:59,880
1739
+ ุงู„ุจุฑูˆุชูŠู† ุงู„ุขู† ุงู„ุฃุตู„ ุงู„ุจุฑูˆุชูŠู† ุงู„ุทุจูŠุนูŠ ู‡ูˆ Secretary
1740
+
1741
+ 436
1742
+ 00:35:59,880 --> 00:36:04,100
1743
+ Protein ูˆู‡ูˆ ุจูŠุณู„ู‡ Release ุฅู„ู‰ ุฎุงุฑุฌ ุงู„ุฎู„ูŠุฉ ูˆุฒูŠ ู…ุง
1744
+
1745
+ 437
1746
+ 00:36:04,100 --> 00:36:07,380
1747
+ ู‚ู„ู†ุง ุจูŠุนู…ู„ุŒ ุจูŠุฑุชุจุท ู…ุน ุงู„ุฎู„ุงูŠุง ูˆุจูŠุนู…ู„ stimulation
1748
+
1749
+ 438
1750
+ 00:36:07,380 --> 00:36:12,980
1751
+ ู„ุฎู„ุงูŠุง ูˆ proliferation ูˆุนุดุงู† ูŠุตูŠุฑ ุงู„ repair ู„ูƒู†
1752
+
1753
+ 439
1754
+ 00:36:12,980 --> 00:36:16,800
1755
+ ู‡ุฐู‡ ุงู„ู€ Mutated Form Cytoplasmic ู…ูˆุฌูˆุฏุฉ ููŠ
1756
+
1757
+ 440
1758
+ 00:36:16,800 --> 00:36:22,420
1759
+ ุงู„ู€Cytoplasm ูˆู…ุงุตู„ู‡ุงุด Secretionู‡ุฐู‡ ุฃูˆู„ ู…ุดูƒู„ุฉ ุงู„ู„ูŠ
1760
+
1761
+ 441
1762
+ 00:36:22,420 --> 00:36:27,600
1763
+ ู‡ูŠ ุงู„ู€ apparent location ุฃู†ู‡ ู…ูƒุงู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู…ุด
1764
+
1765
+ 442
1766
+ 00:36:27,600 --> 00:36:36,520
1767
+ ุทุจูŠุนูŠ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชุงู†ูŠุฉ ุฃู†ู‡ ุงู„ activation ุงู„ู„ูŠ ู‡ูŠุตูŠุฑ
1768
+
1769
+ 443
1770
+ 00:36:36,520 --> 00:36:43,560
1771
+ ู„ู‡ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ ุทุจูŠุนูŠ the
1772
+
1773
+ 444
1774
+ 00:36:43,560 --> 00:36:47,280
1775
+ subsequent activation of the PDGF signal pathway
1776
+
1777
+ 445
1778
+ 00:36:47,280 --> 00:36:52,440
1779
+ at inappropriate timesุงู„ู…ูุฑูˆุถ ุงู…ุชู‰ ูŠุตูŠุฑ activation
1780
+
1781
+ 446
1782
+ 00:36:52,440 --> 00:36:57,960
1783
+ ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุญุงู„ ูˆุฌูˆุฏ wound ุนุดุงู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ุง
1784
+
1785
+ 447
1786
+ 00:36:57,960 --> 00:37:03,870
1787
+ repair ุชู…ุงู… ูŠุจู‚ู‰ ููŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉู‡ูŠุตูŠุฑ ุจุฑุถู‡ ููŠ
1788
+
1789
+ 448
1790
+ 00:37:03,870 --> 00:37:08,130
1791
+ ุนู†ุฏู†ุง activation ู„ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ
1792
+
1793
+ 449
1794
+ 00:37:08,130 --> 00:37:11,510
1795
+ ุทุจูŠุนูŠุŒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ู…ูˆุฌูˆุฏ ููŠ ุงู„ู…ูƒุงู† ุงู„ุบูŠุฑ
1796
+
1797
+ 450
1798
+ 00:37:11,510 --> 00:37:18,150
1799
+ ุทุจูŠุนูŠ ูˆ ู‡ูŠุตู„ู‡ activation ููŠ ุงู„ูˆู‚ุช ุงู„ุบูŠุฑ ุทุจูŠุนูŠ ูˆ
1800
+
1801
+ 451
1802
+ 00:37:18,150 --> 00:37:24,670
1803
+ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰ a unregulated growth
1804
+
1805
+ 452
1806
+ 00:37:24,950 --> 00:37:28,050
1807
+ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ู€
1808
+
1809
+ 453
1810
+ 00:37:28,050 --> 00:37:32,090
1811
+ Receptors ู…ู…ูƒู† ุงู„ู…ุดูƒู„ุฉ ุชุตูŠุฑ ููŠ ุงู„ู€ Growth Factor
1812
+
1813
+ 454
1814
+ 00:37:32,090 --> 00:37:40,390
1815
+ Receptors ูˆููŠ ุนู†ุฏู†ุง ู…ุซู„ู‹ุง ุงู„ู€ Oncogene VERBB
1816
+
1817
+ 455
1818
+ 00:37:40,390 --> 00:37:49,500
1819
+ ูˆุงุฎุชุตุงุฑู‹ุง ุงู„ู€ Avian Arthroplastosis Leukemiaูƒุงู†
1820
+
1821
+ 456
1822
+ 00:37:49,500 --> 00:37:53,780
1823
+ ุงูƒุชุดุงูู‹ุง ู…ู† ุงู„ููŠุฑูˆุณ ุงู„ู„ูˆูƒูŠู…ูŠุฉ ุงู„ู€ Avian
1824
+
1825
+ 457
1826
+ 00:37:53,780 --> 00:37:58,220
1827
+ Erythroplastosis ุทูŠุจ
1828
+
1829
+ 458
1830
+ 00:37:58,220 --> 00:38:04,840
1831
+ ุงู„ุงู†ู‡ุงู„ ุจุฑุถู‡ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุทุจุนู‹ุง ุงู„ ุงู„ุงู†ูƒูˆุฌูŠู†ูŠูƒ
1832
+
1833
+ 459
1834
+ 00:38:04,840 --> 00:38:09,000
1835
+ ููŠุฑุฌูŠู† ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑุถู‡ ุงู„ู€ truncated form of the
1836
+
1837
+ 460
1838
+ 00:38:09,000 --> 00:38:12,380
1839
+ epidermal growth factor receptor ุจุญูŠุซ ููŠ ุนู†ุฏู†ุง
1840
+
1841
+ 461
1842
+ 00:38:12,380 --> 00:38:17,050
1843
+ mutation ููŠ ุงู„ receptor ุงู„ gene receptorูˆุงู„ู„ูŠ
1844
+
1845
+ 462
1846
+ 00:38:17,050 --> 00:38:22,510
1847
+ ู‡ูŠู†ุชุฌ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู† ุจุฑุถู‡ truncated ู†ุงู‚ุต ู…ู‚ุทูˆุน ุทูŠุจุŒ
1848
+
1849
+ 463
1850
+ 00:38:22,510 --> 00:38:27,330
1851
+ ุงู„ุขู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู† ุงู„ู€ Extracellular domain is
1852
+
1853
+ 464
1854
+ 00:38:27,330 --> 00:38:33,350
1855
+ deleted ูŠุจู‚ู‰ ูุด ุฃู†ู‡ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ Extracellular
1856
+
1857
+ 465
1858
+ 00:38:33,350 --> 00:38:36,530
1859
+ domain ููƒูŠููŠู† ู„ู…ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ Epidermal Growth
1860
+
1861
+ 466
1862
+ 00:38:36,530 --> 00:38:40,050
1863
+ Factor Receptor ูˆู‚ูˆู„ู†ุง ููŠ ุนู†ุฏู†ุง ุงู„ู€ Extracellular
1864
+
1865
+ 467
1866
+ 00:38:40,050 --> 00:38:43,130
1867
+ domain ููŠ ุนู†ุฏู†ุง ุงู„ู€ Transmembrane ูˆููŠ ุนู†ุฏู†ุง ุงู„ู€
1868
+
1869
+ 468
1870
+ 00:38:43,130 --> 00:38:49,130
1871
+ Cytoplasmic domainุงู„ุขู† ููŠ ุญุงู„ ุงู„ู€ Mutated Gene
1872
+
1873
+ 469
1874
+ 00:38:49,130 --> 00:38:53,250
1875
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ VERBB ุญูŠู†ุชูˆุฌ ุนู†ุฏู†ุง Truncated Protein
1876
+
1877
+ 470
1878
+ 00:38:53,250 --> 00:38:57,670
1879
+ ูˆุงู„ู€ Truncated Protein ู‡ุฐุง ู…ุด ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุงู„ู€
1880
+
1881
+ 471
1882
+ 00:38:57,670 --> 00:39:02,730
1883
+ Extracellular DomainุŒ ู‡ูŠ ู‡ุฐุงุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ receptor
1884
+
1885
+ 472
1886
+ 00:39:02,730 --> 00:39:05,850
1887
+ ุงู„ุทุจูŠุนูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ ู…ูˆุฌูˆุฏ ุงู„ู€
1888
+
1889
+ 473
1890
+ 00:39:05,850 --> 00:39:09,310
1891
+ extracellular domain ู„ูƒู† ููŠ ุงู„ู€ truncated form ู‡ุงู†
1892
+
1893
+ 474
1894
+ 00:39:09,310 --> 00:39:13,370
1895
+ ู…ุด ู…ูˆุฌูˆุฏ ุฃู†ู‡ ุงู„ู€ extracellular domain ุนู†ุฏู†ุง ุฃูŠุถุง
1896
+
1897
+ 475
1898
+ 00:39:13,370 --> 00:39:19,650
1899
+ ููŠู‡ ุจุฑุถู‡ deletion ู„ุฌุฒุก ู…ู† ุงู„ receptor at the C
1900
+
1901
+ 476
1902
+ 00:39:19,650 --> 00:39:27,110
1903
+ terminal end ูˆู‡ุฐุง ุจุงู„ู†ู‡ุงูŠุฉ ุจูŠุคุฏูŠ ุฅู„ู‰ activation of
1904
+
1905
+ 477
1906
+ 00:39:27,110 --> 00:39:34,120
1907
+ the receptor withoutLigand binding ุชู…ุงู… ุจูŠุฌูŠ ุงู„
1908
+
1909
+ 478
1910
+ 00:39:34,120 --> 00:39:37,200
1911
+ product ุงู„ู†ู‡ุงุฆูŠ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุฃู†ู‡ ู…ุงููŠุด ุงู„ู„ูŠ ู‡ูˆ
1912
+
1913
+ 479
1914
+ 00:39:37,200 --> 00:39:41,280
1915
+ Ligand binding ุฏู…ุงุบ ูˆููŠู†ุง a truncation at ุงู„ูˆ
1916
+
1917
+ 480
1918
+ 00:39:41,280 --> 00:39:48,700
1919
+ carboxyl terminus ูˆ ู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนุง ุฅู„ู‰ always on
1920
+
1921
+ 481
1922
+ 00:39:48,700 --> 00:39:55,660
1923
+ active receptor ูˆ ุทุจุนุง activation ู„ other proteins
1924
+
1925
+ 482
1926
+ 00:39:55,660 --> 00:40:03,550
1927
+ ุงู„ู„ูŠ ู‡ูˆ always on signalูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ููŠ ุงู„
1928
+
1929
+ 483
1930
+ 00:40:03,550 --> 00:40:09,510
1931
+ receptor ุงู„ู„ูŠ ู‚ุฏุช ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ู‰ ู…ุดูƒู„ุฉ ููŠ ุงู„ extra
1932
+
1933
+ 484
1934
+ 00:40:09,510 --> 00:40:13,010
1935
+ cellular domain ุฃูˆ ุนุฏู… ูˆุฌูˆุฏ extra cellular domain
1936
+
1937
+ 485
1938
+ 00:40:13,010 --> 00:40:16,070
1939
+ ูˆุจุงู„ุชุงู„ูŠ
1940
+
1941
+ 486
1942
+ 00:40:16,070 --> 00:40:22,210
1943
+ ุงู„ู„ูŠ ู‡ูˆ no ligand binding ุจุฑุถู‡ ูŠุนู†ูŠ ูˆุฌุฏุช ููŠ ุงู„ุนุฏูŠุฏ
1944
+
1945
+ 487
1946
+ 00:40:22,210 --> 00:40:27,520
1947
+ ู…ู† ุงู„ human cancersูˆูŠู„ุฌูˆุง ุฅู†ู‡ ููŠ point mutations
1948
+
1949
+ 488
1950
+ 00:40:27,520 --> 00:40:30,620
1951
+ accomplish the same effect of interfering with the
1952
+
1953
+ 489
1954
+ 00:40:30,620 --> 00:40:35,460
1955
+ growth factor binding ูˆุฅูŠู‡ ุงู„ู„ูŠ ู‚ุฏู‘ุช ุจุงู„ู†ู‡ุงูŠุฉ ุฅู„ู‰
1956
+
1957
+ 490
1958
+ 00:40:35,460 --> 00:40:42,120
1959
+ always on signal ุดุบู„ ุชุงู†ูŠุฉ ูˆู…ุดูƒู„ุฉ ุฃุฎุฑู‰ ุงู„ู„ูŠ ู…ุชุนู„ู‚ุฉ
1960
+
1961
+ 491
1962
+ 00:40:42,120 --> 00:40:48,810
1963
+ ุจุงู„ receptorู‡ูˆ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ู€ Receptors ุนู„ู‰ ุงู„ุฎู„ูŠุฉ
1964
+
1965
+ 492
1966
+ 00:40:48,810 --> 00:40:54,930
1967
+ increasing the amount of normal CERBB product ูˆู‡ุฐุง
1968
+
1969
+ 493
1970
+ 00:40:54,930 --> 00:41:01,050
1971
+ ุจูŠูƒูˆู† ุจุณุจุจ ุญุฏูˆุซ gene amplification ูˆู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ
1972
+
1973
+ 494
1974
+ 00:41:01,050 --> 00:41:07,530
1975
+ ุงู„ู‡ ุงู„ gene amplification ู…ู…ูƒู† ุชุญุตู„ ุจุณุจุจ ุฎุทุฃ ุฃุซู†ุงุก
1976
+
1977
+ 495
1978
+ 00:41:07,530 --> 00:41:13,370
1979
+ ุงู„ DNA replication ุทุจุนุงู‹ ู‚ุฏ ุงู„ DNA replication ูุฑู‚
1980
+
1981
+ 496
1982
+ 00:41:14,380 --> 00:41:16,760
1983
+ ูŠุจู‚ู‰ ุงู„ุฎุทุฃ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ู€ Gene
1984
+
1985
+ 497
1986
+ 00:41:16,760 --> 00:41:21,380
1987
+ Amplification ูˆุงู„ู€ Gene Amplification ู‡ุฐุง ู…ู…ูƒู†
1988
+
1989
+ 498
1990
+ 00:41:21,380 --> 00:41:27,420
1991
+ ุทุจุนุง ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ ุงู„ู€ Receptors ุงู„ู…ูˆุฌูˆุฏ
1992
+
1993
+ 499
1994
+ 00:41:27,420 --> 00:41:35,360
1995
+ ุนู„ู‰ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐุง ูŠุนู†ูŠ ูƒู…ุซุงู„ ููŠ ุฃู† ุทุจุนุง ุงู„ู€ HER2
1996
+
1997
+ 500
1998
+ 00:41:35,360 --> 00:41:40,060
1999
+ ุชู…ุงู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Receptor ุงู„ู€ HER2 Receptor ุงู„ู„ูŠ
2000
+
2001
+ 501
2002
+ 00:41:40,060 --> 00:41:44,550
2003
+ ุจูŠุตูŠุฑ ู„ู‡ Amplification ููŠ ุญุงู„ุงุช ุงู„ู€ BreastCancer
2004
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/8p5-r1DL99o.srt ADDED
@@ -0,0 +1,1929 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,430 --> 00:00:06,490
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุณุชูƒู…ู„ ู…ุน ู…ุญุงุถุฑุงุช Molecular
4
+
5
+ 2
6
+ 00:00:06,490 --> 00:00:12,610
7
+ Biology of Cancer ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ุซุงู†ูŠุฉ ุจุนู†ูˆุงู† DNA
8
+
9
+ 3
10
+ 00:00:12,610 --> 00:00:18,310
11
+ Structure and Stability. Mutations vs. Repair.
12
+
13
+ 4
14
+ 00:00:18,310 --> 00:00:23,680
15
+ outline ู„ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ู‡ูŠ introductionุŒ ูˆุจุนุฏูŠู†
16
+
17
+ 5
18
+ 00:00:23,680 --> 00:00:26,780
19
+ ุงู„ุฃุฌุฒุงุก ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู…ุญุงุถุฑุฉ. Two parts of the gene
20
+
21
+ 6
22
+ 00:00:26,780 --> 00:00:30,040
23
+ regulatory region and the coding region. Mutations,
24
+
25
+ 7
26
+ 00:00:30,040 --> 00:00:35,000
27
+ carcinogenic agents. DNA repair and predispositions
28
+
29
+ 8
30
+ 00:00:35,000 --> 00:00:38,460
31
+ to cancer. Conventional therapies: chemotherapy and
32
+
33
+ 9
34
+ 00:00:38,460 --> 00:00:42,120
35
+ radiation therapy. ูˆstrategies that target DNA
36
+
37
+ 10
38
+ 00:00:42,120 --> 00:00:47,440
39
+ repair pathways. ูˆู†ุจุฏุฃ ุจุงู„ู…ู‚ุฏู…ุฉ.
40
+
41
+ 11
42
+ 00:00:49,100 --> 00:00:52,480
43
+ Genetic information coded with DNA requires
44
+
45
+ 12
46
+ 00:00:52,480 --> 00:00:58,660
47
+ stability. ูˆุฒูŠ ู…ุง ุงุชูู‚ู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†
48
+
49
+ 13
50
+ 00:00:58,660 --> 00:01:03,100
51
+ Cancer is a disease of the genome. ุงู„ู…ุดูƒู„ุฉ ุจุชุตูŠุฑ
52
+
53
+ 14
54
+ 00:01:03,100 --> 00:01:08,220
55
+ ููŠู‡ุง ุนู†ุฏู†ุง ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ DNA ูˆุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ genes
56
+
57
+ 15
58
+ 00:01:08,220 --> 00:01:12,580
59
+ ุงู„ู…ุฎุชู„ูุฉุŒ ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ุจุดูƒู„ ุฃุณุงุณูŠ ุงู„ู€ oncogenes ูˆ ุงู„ู€
60
+
61
+ 16
62
+ 00:01:12,580 --> 00:01:17,460
63
+ tumor suppressor genes. ูŠุจู‚ู‰ ุฃูŠ ุชุบูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€
64
+
65
+ 17
66
+ 00:01:17,460 --> 00:01:21,400
67
+ genomeุŒ ุทุจุนุง ู„ูˆ ุงู„ุชุบูŠุฑ ูƒุงู† ููŠ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
68
+
69
+ 18
70
+ 00:01:21,400 --> 00:01:26,640
71
+ ุจุฑุถู‡ ุจุงู„ู€ processes ุงู„ู„ูŠ ุจุชุชุญูƒู… ุจุชุชุญูƒู… ุจุนุฏุฏ ุงู„ุฎู„ุงูŠุง
72
+
73
+ 19
74
+ 00:01:26,640 --> 00:01:31,220
75
+ ุงู„ู…ูˆุฌูˆุฏ. ูˆุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
76
+
77
+ 20
78
+ 00:01:31,220 --> 00:01:34,420
79
+ growth. ุนู†ุฏู†ุง ุงู„ู€ apoptosis ูˆุนู†ุฏู†ุง ุงู„ู€ differentiation.
80
+
81
+ 21
82
+ 00:01:35,170 --> 00:01:39,350
83
+ ูŠุจู‚ู‰ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer. ุทูŠุจ ุงู„ุขู† ูุนู„ูŠุง
84
+
85
+ 22
86
+ 00:01:39,350 --> 00:01:46,270
87
+ ุงู„ู€ DNA ู‡ู„ ู‡ูˆ ูŠุนู†ูŠ ููŠ ู…ุนุฒู„ ุนู† ุงู„ู€ factors ุงู„ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:01:46,270 --> 00:01:50,190
91
+ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุชุบูŠุฑุงุช ููŠ ุงู„ู€ genomeุŸ ุทุจุนุง ู„ุฃ.
92
+
93
+ 24
94
+ 00:01:50,190 --> 00:01:54,790
95
+ ูˆุฅู† ุงู„ุฌูŠู†ุงุช ูุนู„ูŠุง are subject to countless attacks
96
+
97
+ 25
98
+ 00:01:54,790 --> 00:01:58,430
99
+ by both environmental agents and endogenous
100
+
101
+ 26
102
+ 00:01:58,430 --> 00:02:02,590
103
+ processes. ู‡ูˆ ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ุงู„ู€ attacks ู…ุฎุชู„ูุฉ ุณูˆุงุก
104
+
105
+ 27
106
+ 00:02:02,590 --> 00:02:05,930
107
+ ู…ู† ุฎุงุฑุฌ ุงู„ุฌุณู…ุŒ ูŠุนู†ูŠ ุฒูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู…ู…ูƒู† ุงู„ู€
108
+
109
+ 28
110
+ 00:02:05,930 --> 00:02:10,030
111
+ carcinogens ุงู„ู…ุฎุชู„ูุฉุŒ ุงู„ู€ chemicals ุงู„ู…ุฎุชู„ูุฉ. ุนู†ุฏู†ุง
112
+
113
+ 29
114
+ 00:02:10,030 --> 00:02:15,550
115
+ ุงู„ู€ UV. ูˆ ุฃูŠุถู‹ุง ุจุฑุถู‡ ู…ู† ุฏุงุฎู„ ุงู„ุฌุณู…ุŒ ูŠุจู‚ู‰ ุงู„ู€
116
+
117
+ 30
118
+ 00:02:15,550 --> 00:02:17,850
119
+ environmental agents ุงู„ู„ูŠ ู‡ูŠ exogenousุŒ ูˆุนู†ุฏู†ุง
120
+
121
+ 31
122
+ 00:02:17,850 --> 00:02:22,450
123
+ ุฃูŠุถู‹ุง ุงู„ู€ endogenous ุงู„ู€ processes ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุฏุงุฎู„
124
+
125
+ 32
126
+ 00:02:22,450 --> 00:02:26,490
127
+ ุงู„ุฌุณู…ุŒ ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„ุงุฑุชูุงุน ู…ู…ูƒู† ููŠ ุงู„ู€ Reactive
128
+
129
+ 33
130
+ 00:02:26,490 --> 00:02:30,270
131
+ Oxygen SpeciesุŒ ูˆุงู„ุถุฑุฑ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุญุฏุซู‡
132
+
133
+ 34
134
+ 00:02:30,270 --> 00:02:37,370
135
+ ู„ู€ macromolecules ุฒูŠ ุงู„ู€ DNA ูˆุฒูŠ ุงู„ู€ lipids. ุชู…ุงู…ุŒ
136
+
137
+ 35
138
+ 00:02:37,370 --> 00:02:41,630
139
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู€ attacks ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ูŠู†ุชุฌ
140
+
141
+ 36
142
+ 00:02:41,630 --> 00:02:47,640
143
+ ุนู†ู‡ุง a mutation ุฃูˆ ูŠู†ุชุฌ ุนู†ู‡ุง damage ู„ู€ DNA.
144
+
145
+ 37
146
+ 00:02:47,640 --> 00:02:51,220
147
+ Cancer is a disease that involves alterations to
148
+
149
+ 38
150
+ 00:02:51,220 --> 00:02:55,820
151
+ gene structure. ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู†ุŒ ูŠุนู†ูŠ ู†ุญูƒูŠ ุจุงุฎุชุตุงุฑ
152
+
153
+ 39
154
+ 00:02:55,820 --> 00:02:59,000
155
+ ุนู† ุงู„ู€ mutations ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ. ูŠุจู‚ู‰ ู…ู…ูƒู†
156
+
157
+ 40
158
+ 00:02:59,000 --> 00:03:03,780
159
+ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠูŠุฑ ู„ู€ gene structureุŒ ู„ูƒู† ุฃูŠุถุง
160
+
161
+ 41
162
+ 00:03:03,780 --> 00:03:08,300
163
+ ู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene
164
+
165
+ 42
166
+ 00:03:08,300 --> 00:03:11,600
167
+ expression. ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ุด ุดุฑุท ุฃู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
168
+
169
+ 43
170
+ 00:03:12,120 --> 00:03:18,380
171
+ a mutation ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง cancer. ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
172
+
173
+ 44
174
+ 00:03:18,380 --> 00:03:22,740
175
+ ุชุบูŠูŠุฑ ู„ู€ gene expressionุŒ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู…ู†
176
+
177
+ 45
178
+ 00:03:22,740 --> 00:03:26,980
179
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู† ุงู„ู€ epigeneticsุŒ ู„ุฃู†ู‡
180
+
181
+ 46
182
+ 00:03:26,980 --> 00:03:31,170
183
+ ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ู€ epigenetics ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง silencing
184
+
185
+ 47
186
+ 00:03:31,170 --> 00:03:36,150
187
+ ู„ุฌูŠู† ู…ุนูŠู†. ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ููŠ ุนู†ุฏู†ุง ุงู„ุฌูŠู†ุงุช
188
+
189
+ 48
190
+ 00:03:36,150 --> 00:03:38,590
191
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ BRCA genes
192
+
193
+ 49
194
+ 00:03:38,590 --> 00:03:42,410
195
+ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ุญูƒูŠู†ุงุŒ ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ู€ DNA repair.
196
+
197
+ 50
198
+ 00:03:42,410 --> 00:03:48,130
199
+ ุงู„ุขู† ูˆุฌุฏูˆุง ุฃู†ู‡ ููŠ ุจุนุถ ุญุงู„ุงุช ุงู„ู€ breast cancer ู…ุง ููŠุด
200
+
201
+ 51
202
+ 00:03:48,130 --> 00:03:53,750
203
+ ุฃูŠ mutation ููŠ ุงู„ู€ BRCA genesุŒ ู„ูƒู† ูˆุฌุฏูˆุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง
204
+
205
+ 52
206
+ 00:03:53,750 --> 00:03:58,510
207
+ ุจูŠุตูŠุฑ silencing ู„ู„ู€ BRCA genes.
208
+
209
+ 53
210
+ 00:04:00,650 --> 00:04:05,230
211
+ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ methylation ู…ุซู„ุง. ูŠุจู‚ู‰
212
+
213
+ 54
214
+ 00:04:05,230 --> 00:04:08,850
215
+ ุนู†ุฏู†ุง alterationุŒ ู„ุง ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene
216
+
217
+ 55
218
+ 00:04:08,850 --> 00:04:13,650
219
+ structureุŒ ู„ูƒู† ุจุฑุถู‡ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene expression.
220
+
221
+ 56
222
+ 00:04:13,650 --> 00:04:17,650
223
+ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง silencing ู„ู€ tumor
224
+
225
+ 57
226
+ 00:04:17,650 --> 00:04:23,330
227
+ suppressor genesุŒ ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
228
+
229
+ 58
230
+ 00:04:23,330 --> 00:04:27,090
231
+ accumulation of mutations. ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู‡
232
+
233
+ 59
234
+ 00:04:27,090 --> 00:04:30,720
235
+ alteration ู„ู€ gene structureุŒ ูˆู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ
236
+
237
+ 60
238
+ 00:04:30,720 --> 00:04:35,840
239
+ ุนู†ุฏู†ุง one of several catastrophic events may also
240
+
241
+ 61
242
+ 00:04:35,840 --> 00:04:38,720
243
+ generate mutations that underlie carcinogenesis
244
+
245
+ 62
246
+ 00:04:38,720 --> 00:04:44,280
247
+ called chromothripsisุŒ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ูƒู…ุงู† ุดูˆูŠุฉ. ูˆ
248
+
249
+ 63
250
+ 00:04:44,280 --> 00:04:49,520
251
+ chromo ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุจุชุนู†ูŠ chromosomeุŒ ูˆ thripsis
252
+
253
+ 64
254
+ 00:04:49,520 --> 00:04:55,490
255
+ ุจุชุนู†ูŠ breaking into small pieces. ูˆู‡ุฐุง ูุนู„ูŠุงู‹ ุงู„ู„ูŠ
256
+
257
+ 65
258
+ 00:04:55,490 --> 00:05:00,230
259
+ ุจูŠุตูŠุฑุŒ ุจูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ ูƒุงุฑุซุฉ ููŠ ุงู„ุฎู„ูŠุฉุŒ ูˆู‡ุฐู‡ ุชุคุฏูŠ ุฅู„ู‰
260
+
261
+ 66
262
+ 00:05:00,230 --> 00:05:08,610
263
+ ุนุดุฑุงุชุŒ ุจู„ ู…ุฆุงุช ู…ู…ูƒู† ู…ู† ูŠุนู†ูŠ ุงู„ุชูƒุณุฑ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู…ุงุช. ุนุดุฑุงุช
264
+
265
+ 67
266
+ 00:05:08,610 --> 00:05:13,750
267
+ ุฃูˆ ู…ุฆุงุช ู…ู† ุงู„ู‚ุทุน. ุทูŠุจ ุฅุฐุง ูƒุงู† ู‡ุฐุง ูุนู„ูŠุง ุงู„ู…ูˆุฌูˆุฏ
268
+
269
+ 68
270
+ 00:05:13,750 --> 00:05:17,310
271
+ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู† ุงู„ุฎู„ุงูŠุง ู…ุนุฑุถุฉ ู„ู„ู€ attacks ุงู„ู„ูŠ ู‡ูˆ
272
+
273
+ 69
274
+ 00:05:17,310 --> 00:05:21,710
275
+ exogenous ูˆ endogenousุŒ ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ุฃู† ูŠูƒูˆู† ููŠ
276
+
277
+ 70
278
+ 00:05:21,710 --> 00:05:26,850
279
+ ุนู†ุฏู†ุง ุงู„ู…ุณุชูˆูŠุงุช ูˆุงู„ุชุบูŠุฑุงุช ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู…
280
+
281
+ 71
282
+ 00:05:26,850 --> 00:05:31,810
283
+ ุงู„ูƒุจูŠุฑุฉ. ุทุจุนุง ุฒูŠ ู…ุง ููŠ ุนู†ุฏู†ุง attacksุŒ ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
284
+
285
+ 72
286
+ 00:05:31,810 --> 00:05:36,370
287
+ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ุงูŠุง ููŠ ุนู†ุฏู†ุง defense mechanisms. ูููŠ
288
+
289
+ 73
290
+ 00:05:36,370 --> 00:05:42,350
291
+ ุนู†ุฏู†ุง ุฎุทูˆุท ุฏูุงุน ุจุชุนู…ู„ detection ู„ุฃูŠ ุชุบูŠุฑุงุช ุนู„ู‰
292
+
293
+ 74
294
+ 00:05:42,350 --> 00:05:49,440
295
+ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู…ุŒ ูˆุจุชุนู…ู„ ุงู„ู€ repair ุงู„ู„ุงุฒู…. The cells are
296
+
297
+ 75
298
+ 00:05:49,440 --> 00:05:54,120
299
+ equipped with defense mechanisms against mutations.
300
+
301
+ 76
302
+ 00:05:54,120 --> 00:06:01,030
303
+ ุฃูŠุถู‹ุง ู„ุฃู† ุงู„ู€ defense mechanism ู…ู‡ู…ุฉุŒ ูˆุญูƒูŠู†ุง ุนู„ูŠู‡ุง
304
+
305
+ 77
306
+ 00:06:01,030 --> 00:06:05,590
307
+ ุจุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†ู‡ ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
308
+
309
+ 78
310
+ 00:06:05,590 --> 00:06:11,230
311
+ ุฃูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ genomeุŒ ุฃูˆ ุชุบูŠุฑุงุช ููŠ ุงู„ู€ genomeุŒ ู…ู† ุงู„ู€
312
+
313
+ 79
314
+ 00:06:11,230 --> 00:06:14,730
315
+ defense mechanismsุŒ ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง cell cycle
316
+
317
+ 80
318
+ 00:06:14,730 --> 00:06:19,410
319
+ arrest ุฃูˆ pausing ู„ู€ cell cycle. ุจูŠุนู†ูŠ ุจุชุชูˆู‚ู ุงู„ู€
320
+
321
+ 81
322
+ 00:06:19,410 --> 00:06:23,630
323
+ cell cycle. ุฅูŠู‡ ุจุชุชูˆู‚ู ุงู„ู€ cell cycle ุนุดุงู† ุชุนุทูŠ ูุฑุตุฉ
324
+
325
+ 82
326
+ 00:06:23,770 --> 00:06:29,210
327
+ ู„ู€ repair mechanismsุŒ ุฅู†ู‡ุง ุชุนู…ู„ repair. ุจุนุฏ ู‡ูŠูƒ ุทุจุนุงุŒ ุฎุท
328
+
329
+ 83
330
+ 00:06:29,210 --> 00:06:32,710
331
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฏูุงุน ุงู„ุฃุฎูŠุฑุŒ ุฅุฐุง ูƒุงู† ู…ุงุตุงุฑุด ููŠ ุนู†ุฏู†ุง repair
332
+
333
+ 84
334
+ 00:06:32,710 --> 00:06:37,190
335
+ ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง induction ู„ู€ apoptosis.
336
+
337
+ 85
338
+ 00:06:37,190 --> 00:06:41,450
339
+ ุทุจุนุงุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ูŠุนุชุจุฑ hard-line defenseุŒ ูŠุนู†ูŠ
340
+
341
+ 86
342
+ 00:06:41,450 --> 00:06:45,730
343
+ ุงู„ุฎุท ุงู„ุฏูุงุน ุงู„ุฃุตุนุจุŒ ู„ุฃู† ู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนุง ุฅู„ู‰ ุงู„ู…ูˆุช
344
+
345
+ 87
346
+ 00:06:45,730 --> 00:06:50,740
347
+ ุงู„ุจุฑู…ุฌูŠ ู„ู„ุฎู„ูŠุฉ. ุชู…ุงู…. Apoptosis can be triggered as a last
348
+
349
+ 88
350
+ 00:06:50,740 --> 00:06:55,220
351
+ resort. ู‡ูˆ ุฏุงูŠู…ุง ุงู„ุฎูŠุงุฑ ุงู„ุฃุฎูŠุฑ. ุจุงู„ุฃูˆู„ ุงู„ุฎู„ูŠุฉ ุจุชุญุงูˆู„
352
+
353
+ 89
354
+ 00:06:55,220 --> 00:06:59,760
355
+ ุฃู†ู‡ุง ุชุตู„ุญุŒ ุฃู†ู‡ุง ุชุนู…ู„ repair. ู…ุง ู†ุฌุญุชุด ุนู…ู„ูŠุฉ ุงู„ู€ repair
356
+
357
+ 90
358
+ 00:07:00,810 --> 00:07:04,030
359
+ ูŠุจู‚ู‰ ุงู„ุญู„ ุงู„ุฃุฎูŠุฑ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ induction
360
+
361
+ 91
362
+ 00:07:04,030 --> 00:07:08,210
363
+ ู„ู€ apoptosis ููŠ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู†ุชุฎู„ุต ู…ู† ุงู„ุฎู„ูŠุฉ
364
+
365
+ 92
366
+ 00:07:08,210 --> 00:07:14,470
367
+ ูˆู†ุชุฎู„ุต ู…ู† ุง๏ฟฝ๏ฟฝู€ mutations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ DNAุŒ ู„ุฃู†ู‡
368
+
369
+ 93
370
+ 00:07:14,470 --> 00:07:17,630
371
+ ู„ูˆ ู…ุงุตุงุฑุด apoptosisุŒ ู…ุนู†ุงุชู‡ ุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ู…ูƒู† ูŠุตูŠุฑ
372
+
373
+ 94
374
+ 00:07:17,630 --> 00:07:22,410
375
+ ู„ู‡ุง proliferationุŒ ูˆูŠู…ูƒู† ูŠุชุทูˆุฑ ุงู„ุฃู…ุฑ ุฅู„ู‰ ุญุฏูˆุซ
376
+
377
+ 95
378
+ 00:07:22,410 --> 00:07:25,630
379
+ cancer. ุทูŠุจ ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‚ู„ู†ุงู‡ุŒ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ู‡ูˆ
380
+
381
+ 96
382
+ 00:07:25,630 --> 00:07:27,570
383
+ two parts of the gene. ููŠ ุนู†ุฏู†ุง ุงู„ู€ regulatory
384
+
385
+ 97
386
+ 00:07:27,570 --> 00:07:30,610
387
+ region and the coding region.
388
+
389
+ 98
390
+ 00:07:38,450 --> 00:07:41,230
391
+ ุงู„ู†ูƒู„ูŠูˆุชูŠุฏุงุช ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† nucleotide sequences at
392
+
393
+ 99
394
+ 00:07:41,230 --> 00:07:46,730
395
+ the five prime end of the geneุŒ ูˆู‡ุฐู‡ ุงู„ู€ nucleotides
396
+
397
+ 100
398
+ 00:07:46,730 --> 00:07:50,190
399
+ sequences involved in regulating the expression of
400
+
401
+ 101
402
+ 00:07:50,190 --> 00:07:54,050
403
+ the gene. ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ู€ promoter region ุงู„ู„ูŠ ุจุชู„ุนุจ
404
+
405
+ 102
406
+ 00:07:54,050 --> 00:08:00,550
407
+ ุฏูˆุฑ ููŠ ุงู„ู€ expression ู„ู„ุฌูŠู†ุฉ. ู‡ุฐู‡ ุงู„ู€ 5' nucleotides
408
+
409
+ 103
410
+ 00:08:00,550 --> 00:08:06,310
411
+ ุชุชุนุงู…ู„ ู…ุน ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชุคุซุฑ ุนู„ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ RNA
412
+
413
+ 104
414
+ 00:08:06,310 --> 00:08:15,430
415
+ polymerase. ู„ุฅู†ุฌุงุฒ ุฌูŠู† ู…ุนูŠู†ุŒ ู„ุงุฒู… ูŠูƒูˆู† ู‡ู†ุง ุนู…ู„ูŠุฉ
416
+
417
+ 105
418
+ 00:08:15,430 --> 00:08:20,050
419
+ ุงู„ู€ transcription. ูˆุนู…ู„ูŠุฉ ุงู„ู€ transcription ู‡ุฐู‡ ุชุญุชุงุฌ ุฅู„ู‰
420
+
421
+ 106
422
+ 00:08:20,050 --> 00:08:26,490
423
+ ุงุฑุชุจุงุท ุงู„ู€ RNA polymerase ุนู†ุฏ ุงู„ู€ gene ุฃูˆ ู‚ุจู„ ุงู„ู€
424
+
425
+ 107
426
+ 00:08:26,490 --> 00:08:31,590
427
+ geneุŒ ุงู„ู„ูŠ ุงุญู†ุง ุงู„ู„ูŠ ุจุฏูŠุคุฏูŠ ู„ู€ expression ูˆุฅู†ุชุงุฌ
428
+
429
+ 108
430
+ 00:08:31,590 --> 00:08:37,710
431
+ ู„ู†ุณุฎุฉ ู…ู† ุงู„ู€ messenger RNA. ูŠุจู‚ู‰ ุงู„ู€ promoter
432
+
433
+ 109
434
+ 00:08:37,710 --> 00:08:42,510
435
+ region ู‡ุฐู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ุจูŠุฌูŠ ูŠุฑุชุจุท ู…ุนุงู‡ุง ุจุฑูˆุชูŠู†ุงุช
436
+
437
+ 110
438
+ 00:08:43,730 --> 00:08:48,010
439
+ ูˆุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ุจุชุณู‡ู„ ุจุนุฏ ู‡ูŠูƒ ุงุฑุชุจุงุท ุงู„ู€ RNA
440
+
441
+ 111
442
+ 00:08:48,010 --> 00:08:52,390
443
+ polymerase ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
444
+
445
+ 112
446
+ 00:08:52,390 --> 00:08:57,270
447
+ transcriptionุŒ ูˆ ุชุตู†ูŠุน
448
+
449
+ 113
450
+ 00:08:57,270 --> 00:09:03,150
451
+ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุฎุฉ ู…ู† ุงู„ู€ messenger RNA. ุฌุฒุก ู…ู† ุงู„ู€
452
+
453
+ 114
454
+ 00:09:03,150 --> 00:09:07,850
455
+ promoter regionsุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€ TATA box ุงู„ู„ูŠ ุจุชูƒูˆู†
456
+
457
+ 115
458
+ 00:09:07,850 --> 00:09:12,300
459
+ ู…ูˆุฌูˆุฏุฉ near the start site of transcription. ูˆุงู„ู€
460
+
461
+ 116
462
+ 00:09:12,300 --> 00:09:14,360
463
+ TATA box ุชุนุชุจุฑ one of the most important
464
+
465
+ 117
466
+ 00:09:14,360 --> 00:09:20,320
467
+ regulatory elements for most genes. ูŠุจู‚ู‰ ุฒูŠ ู…ุง ู‚ู„ู†ุง
468
+
469
+ 118
470
+ 00:09:20,320 --> 00:09:22,760
471
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ two parts ู„ู„ุฌูŠู†ุฉ. ุนู†ุฏู†ุง ุงู„ู€
472
+
473
+ 119
474
+ 00:09:22,760 --> 00:09:26,680
475
+ promoter regionุŒ ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
476
+
477
+ 120
478
+ 00:09:26,680 --> 00:09:32,140
479
+ ุงู„ู…ุณุคูˆู„ุฉ ุทุจุนุง ุนู† ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช ู…ุฎุชู„ูุฉุŒ ูˆุทุจุนุง
480
+
481
+ 121
482
+ 00:09:32,140 --> 00:09:36,020
483
+ ุจุงู„ู†ู‡ุงูŠุฉ ุงุฑุชุจุงุท ุงู„ู€ RNA polymerase ุนุดุงู† ุจุนุฏู‡ุง ูŠุตูŠุฑ
484
+
485
+ 122
486
+ 00:09:36,020 --> 00:09:41,200
487
+ ููŠ ุนู†ุฏู†ุง ูุนู„ูŠุง ุงู„ู€ transcription. ู„ุงู„ูˆ ุงู„ู€ coding
488
+
489
+ 123
490
+ 00:09:41,200 --> 00:09:44,480
491
+ sequencesุŒ ูˆูŠู†ุชุฌ ุนู†ุฏู†ุง messenger RNAุŒ ูˆุจุนุฏ
492
+
493
+ 124
494
+ 00:09:44,480 --> 00:09:51,220
495
+ ู‡ูŠูƒ ูŠุชู… ุชุฑุฌู…ุชู‡ ุฅู„ู‰ protein. ูˆ
496
+
497
+ 125
498
+ 00:09:51,220 --> 00:09:56,180
499
+ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ูˆุตูˆุฑุฉ ุฃูˆุถุญ ุดูˆูŠุฉ. ุทุจุนุง ุฃูƒูŠุฏ ู‡ุชุงุฎุฏูˆุง ู…ูˆุถูˆุน
500
+
501
+ 126
502
+ 00:09:56,180 --> 00:10:00,360
503
+ ุงู„ู€ transcription ูˆุงู„ู€ translation ุฃูƒูŠุฏ
504
+
505
+ 127
506
+ 00:10:00,360 --> 00:10:04,320
507
+ ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„. ูŠุนู†ูŠ ู‡ู†... ุงุญู†ุง ุจู†ุญูƒูŠ
508
+
509
+ 128
510
+ 00:10:04,320 --> 00:10:11,370
511
+ ุจุงุฎุชุตุงุฑ. ุนู†ุฏู†ุง ุงู„ู€ promoter region ุฒูŠ ู…ุง ุญูƒูŠู†ุงุŒ ูˆุนู†ุฏู†ุง
512
+
513
+ 129
514
+ 00:10:11,370 --> 00:10:18,150
515
+ ุจุนุฏ ู‡ูŠูƒ ุทุจุนุง ุงู„ู€ RNA coding region. ูˆูŠู‚ูˆู„ ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ
516
+
517
+ 130
518
+ 00:10:18,150 --> 00:10:21,210
519
+ ุงู„ู€ promoterุŒ ูˆูŠู† ุจูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุชุŒ ูˆู‚ูˆู„ู†ุง ุงู„ู„ูŠ
520
+
521
+ 131
522
+ 00:10:21,210 --> 00:10:25,230
523
+ ู‡ูˆ ุงู„ู€ TATA box ุฏู‡ ุฌุฒุก ู…ู‡ู… ู…ู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€
524
+
525
+ 132
526
+ 00:10:25,230 --> 00:10:30,410
527
+ promoters. ู…ู…ูƒู† ูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ุนู„ู‰ ุงู„ู€
528
+
529
+ 133
530
+ 00:10:30,410 --> 00:10:34,070
531
+ promoter regionุŒ ูˆู‡ุฐุง ูŠุนู…ู„ recruiting ู„ุจุฑูˆุชูŠู†ุงุช
532
+
533
+ 134
534
+ 00:10:34,070 --> 00:10:37,770
535
+ ุฃุฎุฑู‰ุŒ ุงู„ู„ูŠ ู‡ูˆ ูŠุณุชุฏุนูŠ ุฃูˆ ูŠุคุฏูŠ ุฅู„ู‰ ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช
536
+
537
+ 135
538
+ 00:10:37,770 --> 00:10:42,010
539
+ ุฃุฎุฑู‰ ุนู„ู‰ ุงู„ู€ promoter region. ูˆู‡ุฐุง ูƒู„ู‡ ุจุงู„ู†ู‡ุงูŠุฉ
540
+
541
+ 136
542
+ 00:10:42,010 --> 00:10:46,310
543
+ ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท ุงู„ู€ RNA polymerase ุนุดุงู† ุชุตุจุญ ูุนู„ูŠุง
544
+
545
+ 137
546
+ 00:10:46,310 --> 00:10:50,610
547
+ ุนู…ู„ูŠุฉ ุงู„ู€ transcriptionุŒ ูˆุฅู†ุชุงุฌ ู„ู†ุณุฎุฉ ู…ู† ุงู„ู€
548
+
549
+ 138
550
+ 00:10:50,610 --> 00:10:55,430
551
+ messenger RNA. ุงู„ุขู†
552
+
553
+ 139
554
+ 00:10:55,430 --> 00:11:01,920
555
+ ุฃู†ุง ุถู…ู† ุงู„ู€ promoter regionุŒ short sequence of DNA
556
+
557
+ 140
558
+ 00:11:01,920 --> 00:11:04,660
559
+ within the promoter that is recognized by a
560
+
561
+ 141
562
+ 00:11:04,660 --> 00:11:09,180
563
+ specific protein and contributes to the regulation
564
+
565
+ 142
566
+ 00:11:09,180 --> 00:11:14,260
567
+ of the gene. ูˆู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุชุณู…ู‰ response element ุฃูˆ
568
+
569
+ 143
570
+ 00:11:14,260 --> 00:11:21,120
571
+ RE. ู‡ูŠ ุฌุฒุก ู…ู† ุงู„ู€ promoterุŒ ูˆู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ู€ promoter
572
+
573
+ 144
574
+ 00:11:21,120 --> 00:11:26,380
575
+ ุงู„ู„ูŠ ูŠุณู…ู‰ response elementุŒ ูˆูŠุฑุชุจุท ู…ุน specific
576
+
577
+ 145
578
+ 00:11:26,380 --> 00:11:32,270
579
+ proteinุŒ ุงู„ู„ูŠ ู‡ูˆ transcription factors. ูˆุฒูŠ ู…ุง
580
+
581
+ 146
582
+ 00:11:32,270 --> 00:11:34,190
583
+ ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู„ู€ transcription factorsุŒ ูˆุงู„ู€
584
+
585
+ 147
586
+ 00:11:34,190 --> 00:11:37,550
587
+ activation ู„ู€ transcription factorsุŒ ูˆุฏูˆุฑู‡ุง ููŠ
588
+
589
+ 148
590
+ 00:11:37,550 --> 00:11:41,730
591
+ ุงู„ู€ expression ู„ู€ genes ุงู„ู…ุฎุชู„ูุฉ. ูŠุจู‚ู‰
592
+
593
+ 149
594
+ 00:11:41,730 --> 00:11:45,950
595
+ transcription factors ุจุชุฑุชุจุท ู…ุน ุงู„ู€ Response
596
+
597
+ 150
598
+ 00:11:45,950 --> 00:11:51,150
599
+ ElementุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠุณุชุฏุนูŠ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
600
+
601
+ 151
602
+ 00:11:51,150 --> 00:11:55,650
603
+ ุจุชุฑุชุจุท ุนู„ู‰ ุงู„ู€ promoter regionุŒ ูˆุจุงู„ู†ู‡ุงูŠุฉ ุทุจุนุง
604
+
605
+ 152
606
+ 00:11:55,650 --> 00:12:00,250
607
+ ุงุณุชุฏุนุงุก ู„ู„ู€ RNA polymeraseุŒ ูˆ transcription ู„ู‡ุฐุง
608
+
609
+ 153
610
+ 00:12:00,250 --> 00:12:05,630
611
+ ุงู„ุฌูŠู†. ุทุจุนุง ุฃู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ response elements ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:12:05,630 --> 00:12:12,850
615
+ ู…ูˆุฌูˆุฏุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠ ุงู„ู€ promoter regionุŒ ุฃูˆ ููŠ ุงู„ู€
616
+
617
+ 155
618
+ 00:12:12,850 --> 00:12:19,100
619
+ enhancer regionุŒ ูˆู‡ุฐู‡ ุงู„ู€ response elements ุจูŠุฑุชุจุท
620
+
621
+ 156
622
+ 00:12:19,100 --> 00:12:22,520
623
+ ู…ุนู‡ุง ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท
624
+
625
+ 157
626
+ 00:12:22,520 --> 00:12:26,500
627
+ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ุŒ ูˆุจุงู„ู†ู‡ุงูŠุฉ ุงู„ู€ RNA polymerase. ูˆุทุจุนุง
628
+
629
+ 158
630
+ 00:12:26,500 --> 00:12:30,400
631
+ ุนู†ุฏู†ุง ุฃู…ุซู„ุฉ ุนุฏูŠุฏุฉ ุนู„ู‰ ุงู„ู€ response elements. ูŠุนู†ูŠ ููŠ
632
+
633
+ 159
634
+ 00:12:30,400 --> 00:12:32,840
635
+ ุนู†ุฏู†ุง ุงู„ู€ thyroid hormone response elementุŒ ุนู„ู‰ ุณุจูŠู„
636
+
637
+ 160
638
+ 00:12:32,840 --> 00:12:35,760
639
+ ุงู„ู…ุซุงู„. ููŠ ุนู†ุฏู†ุง ุงู„ู€ vitamin D response elements.
640
+
641
+ 161
642
+ 00:12:35,760 --> 00:12:40,800
643
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุชุฑุชุจุท ู…ุน ุทุจุนุง ุงู„ู€ receptors ุงู„ุฎุงุตุฉ
644
+
645
+ 162
646
+ 00:12:40,800 --> 00:12:44,360
647
+ ุจุงู„ู‡ุฑู…ูˆู†ุงุช ุฒูŠ ุงู„ู€ thyroid ุฃูˆ ุฒูŠ ุงู„ู€ vitamin D. ุนู†ุฏ
648
+
649
+ 163
650
+ 00:12:44,360 --> 00:12:47,940
651
+ ุงุฑุชุจุงุท ุงู„ู‡ุฑู…ูˆู† ู…ุน ู‡ุฐุง ุงู„ู€ receptorุŒ ุงู„ู€ receptor
652
+
653
+ 164
654
+ 00:12:47,940 --> 00:12:51,080
655
+ ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู†ุŒ ุจูŠุฌูŠ ูˆ ุจูŠุฑุชุจุท ู…ุน ุงู„ู€
656
+
657
+ 165
658
+ 00:12:51,080 --> 00:12:55,380
659
+ response elementุŒ ูˆุจูŠุนู…ู„ ุนู„ู‰ expression ู„ู€ genes
660
+
661
+ 166
662
+ 00:12:55,380 --> 00:13:00,420
663
+ ู…ุนูŠู†ุฉ. ุฃูŠุถุง ููŠ ุนู†ุฏู†ุง response element for a protein
664
+
665
+ 167
666
+ 00:13:00,420 --> 00:13:03,300
667
+ that is essential for the regulation of the cell
668
+
669
+ 168
670
+ 00:13:03,300 --> 00:13:09,430
671
+ cycleุŒ ูˆุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู€ transcription factor E2F.
672
+
673
+ 169
674
+ 00:13:09,430 --> 00:13:14,170
675
+ ูŠุจู‚ู‰ ุงู„ู€ E2F transcription factorุŒ ูˆ ุจูŠุฑุชุจุท ุนู„ู‰
676
+
677
+ 170
678
+ 00:13:14,170 --> 00:13:21,370
679
+ response elementุŒ ูˆุงู„ุฌูŠู†ุฉ ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุนู‡ุง ุทุจุนุง
680
+
681
+ 171
682
+ 00:13:21,370 --> 00:13:26,870
683
+ ููŠ ู…ู†ุทู‚ุฉ ุงู„ู€ promoterุŒ ุงู„ู€ E2F ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ุจูŠู‡ ุฃูˆ
684
+
685
+ 172
686
+ 00:13:26,870 --> 00:13:30,330
687
+ ุงู„ุฌูŠู†ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ cyclin E ูˆุงู„ู€ cyclin A
688
+
689
+ 173
690
+ 00:13:30,330 --> 00:13:37,860
691
+ genes. ูˆุทุจุนุง ุงู„... ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† products which are
692
+
693
+ 174
694
+ 00:13:37,860 --> 00:13:42,660
695
+ major players in the cell cycle. ูŠุจู‚ู‰ ุงู„ู€ promoters
696
+
697
+ 175
698
+ 00:13:42,660 --> 00:13:48,580
699
+ ู„ู€ cyclin E ูˆุงู„ู€ cyclin A genesุŒ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง
700
+
701
+ 176
702
+ 00:13:48,580 --> 00:13:52,380
703
+ ุงู„ู„ูŠ ู‡ูˆ response elementุŒ ุจูŠุฌูŠ ุจูŠุฑุชุจุท ุนู„ูŠู‡ ุงู„ู€ E2F
704
+
705
+ 177
706
+ 00:13:52,380 --> 00:13:56,720
707
+ proteinุŒ ูˆู‡ุฏูˆู„ ุทุจุนุง ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง expression ู„ู‡ุฐู‡
708
+
709
+ 178
710
+ 00:13:56,720 --> 00:14:00,840
711
+ ุงู„ู€ genesุŒ ุงู„ู„ูŠ cyclin A ูˆ cyclin E. ูˆุทุจุนุง ู‡ุฏูˆู„ ุงู„ู€
712
+
713
+ 179
714
+ 00:14:00,840 --> 00:14:06,100
715
+ proteins ุงู„ู†ุงุชุฌูŠู† ุนู† ู‡ุฏูˆู„ ุงู„ู€ genesุŒ ุจูŠู„ุนุจูˆุง ุฏูˆุฑ
716
+
717
+ 180
718
+ 00:14:06,100 --> 00:14:09,520
719
+ ุฃุณุงุณูŠ ููŠ ุงู„ู€ cell cycle ูˆููŠ ุงู„ู€ proliferation
720
+
721
+ 181
722
+ 00:14:09,520 --> 00:14:15,840
723
+ ู„ู„ุฎู„ุงูŠุง. ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ุตูˆุฑุฉ ู‡ุฐู‡ุŒ ู‚ู„ู†ุง ุฅู†ู‡ ููŠ
724
+
725
+ 182
726
+ 0
727
+
728
+ 223
729
+ 00:17:43,100 --> 00:17:49,760
730
+ Hydrocarbons ุงู„ู€ PAH ู…ู…ูƒู† ูŠุฑุชุจุท ู…ุน ุงู„ู€ DNA ูˆ ูŠุนู…ู„
731
+
732
+ 224
733
+ 00:17:49,760 --> 00:17:54,900
734
+ ุจุฑุถู‡ DNA Adduct ูˆ ู‡ุฐุง ุทุจุนุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุญุฏุซ
735
+
736
+ 225
737
+ 00:17:54,900 --> 00:17:58,460
738
+ Single Strand Breaks ุฃูˆ ู…ู…ูƒู† Double Strand Breaks
739
+
740
+ 226
741
+ 00:17:58,460 --> 00:18:02,200
742
+ ูˆ ู…ู…ูƒู† ูŠุญุฏุซ ุชุบูŠุฑุงุช ู…ุฎุชู„ูุฉ
743
+
744
+ 227
745
+ 00:18:06,470 --> 00:18:11,290
746
+ ู‡ุงู† ุจูŠูˆุถุญ ุงู„ู€ types of mutations ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
747
+
748
+ 228
749
+ 00:18:11,290 --> 00:18:16,570
750
+ ุฅุฐุง ูƒุงู† ุงู„ู€ sequence ู‡ุฐุง ู‡ูˆ ุงู„ู€ original ูŠุจู‚ู‰ ุฒูŠ ู…ุง
751
+
752
+ 229
753
+ 00:18:16,570 --> 00:18:23,690
754
+ ู‚ู„ู†ุง ุงู„ู€ transition ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ A ู…ุน G ุฃู‡
755
+
756
+ 230
757
+ 00:18:23,690 --> 00:18:27,090
758
+ Purine ุชู… ุงุณุชุจุฏุงู„ Purine ู…ุน Purine ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
759
+
760
+ 231
761
+ 00:18:27,090 --> 00:18:30,330
762
+ ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ Pyrimidine ู…ุน Pyrimidine ูŠุจู‚ู‰
763
+
764
+ 232
765
+ 00:18:30,330 --> 00:18:34,850
766
+ Purine ู…ุน Purine ุณูˆุงุก A to G ุฃูˆ G ู…ู…ูƒู† to A ู‡ุฐู‡
767
+
768
+ 233
769
+ 00:18:34,850 --> 00:18:41,040
770
+ ุชุณู…ู‰ TransitionุŒ ูˆ ุฃูŠุถุง ุจุงู„ู†ุณุจุฉ ู„ู„ู€ Pyrimidines C ู…ุน
771
+
772
+ 234
773
+ 00:18:41,040 --> 00:18:44,340
774
+ TุŒ ุณูŠุชูˆุฒูŠู† ู…ุน ุซุงูŠู…ูŠู† ุฃูˆ ุซุงูŠู…ูŠู† ู…ุน ุณูŠุชูˆุฒูŠู† ุจุฑุถู‡ ู‡ุฐู‡
775
+
776
+ 235
777
+ 00:18:44,340 --> 00:18:48,500
778
+ ุชุนุชุจุฑ transitionsุŒ ูˆ ุงู„ู€ Transversion ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง
779
+
780
+ 236
781
+ 00:18:48,500 --> 00:18:52,840
782
+ ูƒุงู† ุตุงุฑ ููŠ ุงุณุชุจุฏุงู„ ู„ู€ Purine ู…ุน Pyrimidine ูŠุนู†ูŠ A
783
+
784
+ 237
785
+ 00:18:52,840 --> 00:18:59,580
786
+ ู…ุน C ุฃูˆ C ู…ุน A ุฃูˆ G ู…ุน T ุฃูˆ T ู…ุน G ุจู‡ุฐู‡ ุงู„ู€
787
+
788
+ 238
789
+ 00:18:59,580 --> 00:19:03,920
790
+ Transversion ู„ุฃู†ู‡ ุจูŠุชู… ุงู„ุชุจุฏูŠู„ Pyrimidine ู…ุน
791
+
792
+ 239
793
+ 00:19:03,920 --> 00:19:08,980
794
+ Purine ุฃูˆ Purine ู…ุน Pyrimidine. Insertion ุงู„ู„ู‰ ุจูŠุญุตู„
795
+
796
+ 240
797
+ 00:19:08,980 --> 00:19:14,860
798
+ ุนู†ุฏู†ุง ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุงุŒ ูˆ Deletion ุงู„ู„ู‰ ุจูŠุญุตู„ ุนู†ุฏู†ุง
799
+
800
+ 241
801
+ 00:19:14,860 --> 00:19:19,620
802
+ ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุงุŒ ูˆู‡ุฐุง ูŠุคุฏูŠ ุจุงู„ุญุงู„ุชูŠู†
803
+
804
+ 242
805
+ 00:19:21,200 --> 00:19:24,640
806
+ ููŠ ุงู„ู€ deletion ูŠุคุฏูŠ ุฅู„ู‰ a frame shift mutation
807
+
808
+ 243
809
+ 00:19:24,640 --> 00:19:30,100
810
+ ูˆ ุญูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠูŠุฑ ุจุงู„ู€ amino acids ูˆูŠู† ุตุงุฑ
811
+
812
+ 244
813
+ 00:19:30,100 --> 00:19:34,040
814
+ ููŠ ุนู†ุฏู†ุง ุงู„ู€ insertion ุฃูˆ ููŠ ุฃูˆ ูˆูŠู† ุตุงุฑ ุงู„ู€ deletion
815
+
816
+ 245
817
+ 00:19:34,040 --> 00:19:39,040
818
+ ุฃูŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุงู„ู…ุดูƒู„ุฉ ุงู„ู€ chromosomal translocation
819
+
820
+ 246
821
+ 00:19:39,040 --> 00:19:41,380
822
+ ุงู„ู„ูŠ was the exchange of one part of one
823
+
824
+ 247
825
+ 00:19:41,380 --> 00:19:44,300
826
+ chromosome for another part of a different
827
+
828
+ 248
829
+ 00:19:44,300 --> 00:19:47,400
830
+ chromosome and results in changes of the base
831
+
832
+ 249
833
+ 00:19:47,400 --> 00:19:51,860
834
+ sequence of DNA. ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ู‡ุงู† ุฃู†ู‡ ุจูŠุตูŠุฑ
835
+
836
+ 250
837
+ 00:19:51,860 --> 00:19:57,600
838
+ ููŠู‡ู†ุง ุงุณุชุจุฏุงู„ ู„ู‚ุทุน ู…ู† ุงู„ูƒุฑูˆู…ูˆุฒูˆู… ู…ุน ู‚ุทุนุฉ ุฃุฎุฑู‰ ูŠุนู†ูŠ
839
+
840
+ 251
841
+ 00:19:57,600 --> 00:20:01,440
842
+ ู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุงู„ู…ูุฑูˆุถ ุจุชุนูˆุฏ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู… ู‡ุฐุง ุงู„ู„ูŠ ุจุงู„ู„ูˆู†
843
+
844
+ 252
845
+ 00:20:01,440 --> 00:20:06,000
846
+ ุงู„ุฃุญู…ุฑ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑูˆู…ูˆุฒูˆู…ุŒ ูˆู‡ุฐุง
847
+
848
+ 253
849
+ 00:20:06,000 --> 00:20:11,240
850
+ ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑูˆู…ูˆุฒูˆู…. ููŠ ุญุงู„ ุงู„ูƒุฑูˆู…ูˆุฒูˆู… ุจูŠุตูŠุฑ
851
+
852
+ 254
853
+ 00:20:11,240 --> 00:20:15,880
854
+ ููŠ ุนู†ุฏู†ุง ุงู†ุชู‚ุงู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจู‡ุฐู‡
855
+
856
+ 255
857
+ 00:20:15,880 --> 00:20:19,200
858
+ ุงู„ุญุงู„ุฉ ุฃู†ู‡ ุตุงุฑ ู†ู‚ู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ
859
+
860
+ 256
861
+ 00:20:19,200 --> 00:20:23,020
862
+ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถุŒ ูˆ
863
+
864
+ 257
865
+ 00:20:23,020 --> 00:20:26,200
866
+ ุงู„ู‚ุทุนุฉ ู…ู† ุงู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ุตุงุฑ ู„ู‡ุง
867
+
868
+ 258
869
+ 00:20:26,200 --> 00:20:32,520
870
+ ู†ู‚ู„ ู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑุŒ ูˆ ุทุจุนุง ุงู„ู…ุซุงู„
871
+
872
+ 259
873
+ 00:20:32,520 --> 00:20:36,260
874
+ ุงู„ุฃุดู‡ุฑ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู… ุงู„ู€ translocation ููŠ ุนู†ุฏู†ุง ุงู„ู€
875
+
876
+ 260
877
+ 00:20:36,260 --> 00:20:39,350
878
+ Philadelphia ุงู„ู€ chromosome ูˆ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง
879
+
880
+ 261
881
+ 00:20:39,350 --> 00:20:44,430
882
+ ุทุจุนุง involvement ู„ู€ chromosomes 9 ูˆ 22ุŒ ุทุจุนุง ุฒูŠ ู…ุง
883
+
884
+ 262
885
+ 00:20:44,430 --> 00:20:49,690
886
+ ุญูƒูŠู†ุง ุณุงุจู‚ุง ุฃู†ู‡ ุนุดุงู† ุงู„ู€ mutations ุชุคุฏูŠ ุงู„ู‰ cancer
887
+
888
+ 263
889
+ 00:20:49,690 --> 00:20:54,450
890
+ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุจุฏูˆุง ูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ุฌูŠู†ุงุช
891
+
892
+ 264
893
+ 00:20:54,450 --> 00:20:58,630
894
+ ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ ุงู„ู€ processes ุงู„ู„ูŠ ุจุชุญุฏุฏ ุงู„ู€ cell
895
+
896
+ 265
897
+ 00:20:58,630 --> 00:21:03,340
898
+ numberุŒ ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญูƒูŠ ุนู„ู‰ genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจู€
899
+
900
+ 266
901
+ 00:21:03,340 --> 00:21:07,040
902
+ mutations ููŠ genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ regulation
903
+
904
+ 267
905
+ 00:21:07,040 --> 00:21:12,460
906
+ ู„ู€ growthุŒ ู„ู€ differentiationุŒ ูˆ ุฃูŠุถุง ู„ู€ apoptosisุŒ ูˆ
907
+
908
+ 268
909
+ 00:21:12,460 --> 00:21:15,200
910
+ for most cancers different types of mutations
911
+
912
+ 269
913
+ 00:21:15,200 --> 00:21:19,500
914
+ accumulate over time within an individual cell and
915
+
916
+ 270
917
+ 00:21:19,500 --> 00:21:23,060
918
+ cause the cell to be transformed into a cancer
919
+
920
+ 271
921
+ 00:21:23,060 --> 00:21:26,840
922
+ cell. ุชู…ุงู…ุŒ ูˆ ุฒูŠ ู…ุง ุญูƒูŠ ุฃู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
923
+
924
+ 272
925
+ 00:21:26,840 --> 00:21:32,070
926
+ ู‚ูˆู„ู†ุง ุฃู† ุงู„ู€ accumulation of mutations ุณุจุจ ู„ุญุฏูˆุซ ุงู„ู€
927
+
928
+ 273
929
+ 00:21:32,070 --> 00:21:35,690
930
+ CancerุŒ ูˆู‚ูˆู„ู†ุง ุฅู†ู‡ ู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ูŠุนู†ูŠ ุนู„ู‰ ุงู…ุชุฏุงุฏ
931
+
932
+ 274
933
+ 00:21:35,690 --> 00:21:40,170
934
+ ุณู†ูˆุงุช ุนุฏูŠุฏุฉุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุงู„ุณุจุจ ุฅู†ู‡ ูƒุจุงุฑ ุงู„ุณู†
935
+
936
+ 275
937
+ 00:21:40,170 --> 00:21:44,130
938
+ ุจุชูƒูˆู† ุนู†ุฏู†ุง ู†ุณุจุฉ ุงู„ุฅุตุงุจุฉ ุจู€ Cancer ุฃูƒุจุฑ ู…ู† ุงู„ูุฆุงุช
939
+
940
+ 276
941
+ 00:21:44,130 --> 00:21:50,790
942
+ ุงู„ุนู…ุฑูŠุฉ ุงู„ุฃุฎุฑู‰. ูˆู…ู† ู†ุงุญูŠุฉ ุชุงู†ูŠุฉ ุญูƒูŠู†ุง ุฅู†ู‡ ููŠ ุนู†ุฏู†ุง
943
+
944
+ 277
945
+ 00:21:50,790 --> 00:21:56,150
946
+ ุจุนุถ ุญุงู„ุงุช ุงู„ู€ Cancer ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุฃุนู…ุงุฑ ู…ุจูƒุฑุฉ
947
+
948
+ 278
949
+ 00:21:56,150 --> 00:22:01,580
950
+ ุฃูˆ ุนู†ุฏ ุงู„ุฃุทูุงู„. ุทูŠุจ ูƒูŠู ุงู„ู…ุดูƒู„ุฉ ุฏูŠ ู‡ุชุตูŠุฑุŸ ู…ู…ูƒู† ุชูƒูˆู†
951
+
952
+ 279
953
+ 00:22:01,580 --> 00:22:06,060
954
+ ุจุณุจุจ ู…ุง ูŠุณู…ู‰ ุจู€ Chromotripsis. ูˆุนู†ุง Chromotripsis
955
+
956
+ 280
957
+ 00:22:06,060 --> 00:22:12,590
958
+ ุฃูƒุซุฑ in 2-3% of cancersุŒ ูˆ ู…ูˆุฌูˆุฏุฉ ุจู†ุณุจุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ู€
959
+
960
+ 281
961
+ 00:22:12,590 --> 00:22:17,510
962
+ bone cancerุŒ ุชู‚ุฑูŠุจุง 25% ู…ู† ุญุงู„ุงุช ุงู„ู€ bone cancer
963
+
964
+ 282
965
+ 00:22:17,510 --> 00:22:21,390
966
+ ุจุชูƒูˆู† ุจุณุจุจ chromothripsisุŒ ูˆ ุทุจุนุง ุจู‡ ุงู„ู€
967
+
968
+ 283
969
+ 00:22:21,390 --> 00:22:25,490
970
+ chromothripsis ุจูŠุตูŠุฑ ููŠ ุนู†ุง rearrangement ู„ุนุฏุฏ ู…ู†
971
+
972
+ 284
973
+ 00:22:25,490 --> 00:22:29,770
974
+ ุงู„ูƒุฑูˆู…ูˆุฒูˆู…ุงุชุŒ ูˆุณุจุจ ุงู„ู€ chromothripsis ุทุจุนุง ุฒูŠ ู…ุง ู‚ู„ู†ุง
975
+
976
+ 285
977
+ 00:22:29,770 --> 00:22:33,230
978
+ ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠุงู†ุง catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
979
+
980
+ 286
981
+ 00:22:33,230 --> 00:22:38,210
982
+ ุจูŠุตูŠุฑ ููŠุงู†ุง ูƒุงุฑุซุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ูˆูŠุนู†ูŠ ูƒู…ุงู† ุดูˆูŠุฉ
983
+
984
+ 287
985
+ 00:22:38,210 --> 00:22:43,330
986
+ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ู†ุธุฑูŠุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชูˆุตู ุณุจุจ ุญุฏูˆุซ ุงู„ู€
987
+
988
+ 288
989
+ 00:22:43,330 --> 00:22:46,510
990
+ chromotripsis. ูŠุจู‚ู‰ single event of chromotripsis
991
+
992
+ 289
993
+ 00:22:46,510 --> 00:22:49,870
994
+ involving one or a few chromosomes leads to
995
+
996
+ 290
997
+ 00:22:49,870 --> 00:22:54,130
998
+ multiple gene rearrangements. ูˆ ุจู‡ุฐุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง
999
+
1000
+ 291
1001
+ 00:22:54,130 --> 00:22:59,050
1002
+ ุชุบูŠุฑุงุช ู„ู€ genes ุนุฏูŠุฏุฉ ู„ุฃู†ู‡ ูุนู„ูŠุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง ุชูƒุณุฑ
1003
+
1004
+ 292
1005
+ 00:22:59,050 --> 00:23:03,270
1006
+ ู„ ุงู„ู€ chromosomesุŒ ูˆ ุจุนุฏูŠู† ุจุฑุฌุน ุจูŠุตูŠุฑ ููŠ ุนู†ุง joining
1007
+
1008
+ 293
1009
+ 00:23:03,270 --> 00:23:08,530
1010
+ ูˆ ุนู…ู„ูŠุฉ ุงู„ู€ joining ุจุชูƒูˆู†ุด ุนู…ู„ูŠุฉ ุตุญูŠุญุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
1011
+
1012
+ 294
1013
+ 00:23:08,530 --> 00:23:14,910
1014
+ ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ ู„ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ุฌูŠู†ุงุชุŒ ูˆ ู…ู…ูƒู† ูŠุตู„ ุฅู„ู‰
1015
+
1016
+ 295
1017
+ 00:23:14,910 --> 00:23:18,870
1018
+ tens to hundreds of genes. ุทุจุนุง ุถู…ู† ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1019
+
1020
+ 296
1021
+ 00:23:18,870 --> 00:23:23,140
1022
+ ู…ู…ูƒู† ูŠูƒูˆู† ุตุงุฑ ููŠู‡ุง ุชุบูŠุฑ ู‡ูŠ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู‡ูŠ tumor
1023
+
1024
+ 297
1025
+ 00:23:23,140 --> 00:23:28,100
1026
+ suppressor genesุŒ ูˆ ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูˆ ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1027
+
1028
+ 298
1029
+ 00:23:28,100 --> 00:23:31,760
1030
+ ู…ู…ูƒู† ุชู†ุชุฌ ุงู„ู„ูŠ ู‡ูŠ oncogenes. ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ
1031
+
1032
+ 299
1033
+ 00:23:31,760 --> 00:23:37,260
1034
+ oncogenic fusion genesุŒ ูˆุจุฑุถู‡ ูŠุนู†ูŠ ุฅู†ู‡ ุงู„ู„ูŠ ู‡ูˆ
1035
+
1036
+ 300
1037
+ 00:23:37,260 --> 00:23:42,700
1038
+ ุงู„ู…ุซุงู„ ุงู„ุฃุดู‡ุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ PCR-ABL hybrid gene
1039
+
1040
+ 301
1041
+ 00:23:42,700 --> 00:23:45,360
1042
+ ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ hybrid protein ุงู„ู„ูŠ
1043
+
1044
+ 302
1045
+ 00:23:45,360 --> 00:23:49,180
1046
+ ุจูŠู†ุชุฌ ุนู†ู‡ุŒ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ุจุณุจุจ ุทุจุนุง ุงู„ู€
1047
+
1048
+ 303
1049
+ 00:23:49,180 --> 00:23:52,060
1050
+ chromosome ุงู„ู€ translocation ุจูŠู† ุงู„ู€ chromosomes 9
1051
+
1052
+ 304
1053
+ 00:23:52,060 --> 00:23:58,140
1054
+ and 22. ุทูŠุจ ู‡ุฐู‡ ุงู„ู€ catastrophe event ุงู„ู„ูŠ ุตุงุฑุช ููŠ
1055
+
1056
+ 305
1057
+ 00:23:58,140 --> 00:24:03,140
1058
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ูˆ ุงู„ุชูƒุณุฑ ุงู„ู„ูŠ ุตุงุฑ ููŠ ุงู„ู€
1059
+
1060
+ 306
1061
+ 00:24:03,140 --> 00:24:09,280
1062
+ chromosomesุŒ ูˆ ุทุจุนุง ููŠ attempt ู„ ุงู„ู€ repair ู„ูƒู† ุทุจุนุง
1063
+
1064
+ 307
1065
+ 00:24:09,280 --> 00:24:14,220
1066
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู† ุงู„ู€ repair ู‡ุฐุง ู‡ูŠุนู…ู„ joining ู„ู‚ุทุน ู…ู†
1067
+
1068
+ 308
1069
+ 00:24:14,220 --> 00:24:18,850
1070
+ ุงู„ู€ chromosomes ุจุดูƒู„ ุฎุงุทุฆุŒ ู‡ูŠุคุฏูŠ ุฅู„ู‰ incorrect
1071
+
1072
+ 309
1073
+ 00:24:18,850 --> 00:24:22,090
1074
+ junctionsุŒ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ู‡ูŠุนู…ู„ disruption
1075
+
1076
+ 310
1077
+ 00:24:22,090 --> 00:24:26,770
1078
+ ู„ ุงู„ู€ tumor suppressor genes ุฃูˆ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ ุงู„ู„ูŠ
1079
+
1080
+ 311
1081
+ 00:24:26,770 --> 00:24:31,830
1082
+ ู‡ูˆ oncogenic fusion genes. ุทูŠุจ ูƒูŠู ู…ู…ูƒู† ููŠ ุงู„ู…ุฎุชุจุฑ
1083
+
1084
+ 312
1085
+ 00:24:31,830 --> 00:24:38,750
1086
+ ุชุซุจุช ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงู„ูƒุฑูˆู…ุงุชุฑุจุณุฒ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŸ
1087
+
1088
+ 313
1089
+ 00:24:38,750 --> 00:24:44,770
1090
+ ู…ู…ูƒู† ุจุงุณุชุฎุฏุงู… ุงู„ู€ FISH probes. ูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… ุงู„ู€ FISH
1091
+
1092
+ 314
1093
+ 00:24:44,770 --> 00:24:50,050
1094
+ probes marking normal chromosome location labeled
1095
+
1096
+ 315
1097
+ 00:24:50,050 --> 00:24:54,950
1098
+ with different color dyes. ูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… FISH probes
1099
+
1100
+ 316
1101
+ 00:24:55,410 --> 00:25:01,050
1102
+ ู„ู€ different chromosomesุŒ ูˆุฅู† ูƒู„ probe ุจูŠุนุทูŠู†ุง ู„ูˆู†
1103
+
1104
+ 317
1105
+ 00:25:01,050 --> 00:25:06,730
1106
+ ู…ุนูŠู†ุŒ ูˆุทุจุนุง ุงุญู†ุง ุนุงุฑููŠู† ุงู„ู€ probes ู‡ุฐู‡ ู„ุฃูŠ ูƒุฑูˆู…ูˆุฒูˆู…ุงุช
1107
+
1108
+ 318
1109
+ 00:25:06,730 --> 00:25:11,130
1110
+ ู…ุณุชุฎุฏู…ุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู† ุฅู† ุงู„ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉ ุจูŠู„ุงู‚ูŠ
1111
+
1112
+ 319
1113
+ 00:25:11,130 --> 00:25:15,570
1114
+ ุฃู† ุงู„ู€ probe ู‡ุฐุง ู…ูˆุฌูˆุฏ ููŠ ู…ูƒุงู†ู‡ ุงู„ุตุญูŠุญ ููŠ ุงู„ูƒุฑูˆู…ูˆุฒูˆู…
1115
+
1116
+ 320
1117
+ 00:25:15,570 --> 00:25:21,220
1118
+ ุงู„ุตุญูŠุญ. ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ ุฃู†ู‡ ุชุบูŠุฑ ููŠ ู…ูƒุงู† ู„ู€ probe ูŠุนู†ูŠ
1119
+
1120
+ 321
1121
+ 00:25:21,220 --> 00:25:24,480
1122
+ ุงู„ู…ูุฑูˆุถ probe ุงุญู†ุง ุนุงู…ู„ูŠู†ู‡ ู…ุซู„ุง ุฏู‡ chromosome ุฎู…ุณุฉ
1123
+
1124
+ 322
1125
+ 00:25:24,480 --> 00:25:29,930
1126
+ ู„ู‚ูŠู†ุง ุงู„ู€ probe ู‡ุฐุง ู…ุซู„ุง ู…ูˆุฌูˆุฏ ููŠ ูƒุฑูˆู…ูˆุฒูˆู… ุขุฎุฑุŒ ูŠุจู‚ู‰
1127
+
1128
+ 323
1129
+ 00:25:29,930 --> 00:25:33,550
1130
+ ุจู†ุนุฑู ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ุฃูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑ
1131
+
1132
+ 324
1133
+ 00:25:33,550 --> 00:25:41,010
1134
+ ููŠ ู…ูƒุงู† ุงู„ุฌูŠู†ุงุช ู‡ุฐู‡. ูˆุนู†ุฏู†ุง ู‡ู†ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ
1135
+
1136
+ 325
1137
+ 00:25:41,010 --> 00:25:47,670
1138
+ ุชู… ุงุณุชุฎุฏุงู… probe ู„ูƒุฑูˆู…ูˆุฒูˆู… 5ุŒ ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู€
1139
+
1140
+ 326
1141
+ 00:25:47,670 --> 00:25:52,500
1142
+ probe ุทุจุนุง ุงุฑุชุจุทุช ููŠ ุงู„ู€ complementary sequence ุงู„ู„ูŠ
1143
+
1144
+ 327
1145
+ 00:25:52,500 --> 00:25:55,760
1146
+ ุฅู„ู‡ุงุŒ ูˆุฅุนุทุชู†ูŠ ุงู„ู„ูŠ ู‡ูˆ fluorescence ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ
1147
+
1148
+ 328
1149
+ 00:25:55,760 --> 00:25:59,860
1150
+ ุฃู„ูˆุงู† ู…ุนูŠู†ุฉ. ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ููŠ ุงู„ู€ normal chromosome
1151
+
1152
+ 329
1153
+ 00:25:59,860 --> 00:26:05,200
1154
+ ุฎู…ุณุฉ ูŠูƒูˆู† ู‡ูˆ ู‡ุฐุง ุงู„ุชุฑุชูŠุจ ู„ูˆุฌูˆุฏ ุงู„ู€ probes ุจู†ุงุก ุนู„ู‰
1155
+
1156
+ 330
1157
+ 00:26:05,200 --> 00:26:10,040
1158
+ ุงู„ู€ sequence ุงู„ู„ูŠ ุงุฑุชุจุทุช ููŠู‡ุง ู‡ุฐู‡ ุงู„ู€ probes ุงู„ู…ุฎุชู„ูุฉ.
1159
+
1160
+ 331
1161
+ 00:26:11,200 --> 00:26:15,300
1162
+ ุทูŠุจ ููŠ ุญุงู„ ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุชุบูŠุฑุŒ ุทุจุนุง ู‡ูŠ
1163
+
1164
+ 332
1165
+ 00:26:15,300 --> 00:26:19,460
1166
+ ู‡ู†ุง ู‡ุฐู‡ ุงู„ู€ chromosomes ู„ุฎู„ูŠุฉุŒ ูˆููŠ ุนู†ุฏู†ุง ุจุนุถ ุงู„ู„ูŠ ู‡ูŠ
1167
+
1168
+ 333
1169
+ 00:26:19,460 --> 00:26:23,640
1170
+ ุงู„ู€ chromosomes ุงู„ู„ูŠ ูŠุนู†ูŠ ู„ุณู‡ ุทุจูŠุนูŠุฉุŒ ู„ูƒู† ููŠ ุนู†ุฏู†ุง
1171
+
1172
+ 334
1173
+ 00:26:23,640 --> 00:26:26,700
1174
+ ุงู„ู€ chromosomes ุฃุฎุฑู‰ ุงู„ู„ูŠ ู‡ูˆ chromosome ุฎู…ุณุฉ ุตุงุฑ
1175
+
1176
+ 335
1177
+ 00:26:26,700 --> 00:26:31,320
1178
+ ููŠู‡ู‡ุง ุชุบูŠูŠุฑุŒ ูˆ ุจุทู„ ุนู†ุฏู†ุง ุงู„ุชุฑุชูŠุจ ู„ ุงู„ู€ probes ุฒูŠ ู…ุง
1179
+
1180
+ 336
1181
+ 00:26:31,320 --> 00:26:35,060
1182
+ ุดูู†ุง ุงู„ู„ูŠ ู‡ูˆ ููŠ ุญุงู„ุฉ ุงู„ู€ normal. ูŠุนู†ูŠ ู‡ุงูŠ ู…ุซู„ุง ู‡ู†ุง
1183
+
1184
+ 337
1185
+ 00:26:35,060 --> 00:26:39,700
1186
+ derivative ู„ู€ Chromosome 5. ุดุงูŠููŠู† ุฃู†ู‡ ุงุญู†ุง ุงู„ุชุฑุชูŠุจ
1187
+
1188
+ 338
1189
+ 00:26:39,700 --> 00:26:43,940
1190
+ ุทุจุนุง ุงู„ู„ูŠ ู‡ูˆ ุงุฎุชู„ู. ูˆู‡ุฐู‡ ุตูˆุฑุฉ ู…ูƒุจุฑุฉ ู„ู€ Derivative
1191
+
1192
+ 339
1193
+ 00:26:43,940 --> 00:26:47,020
1194
+ Chromosome 5ุŒ ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Probes
1195
+
1196
+ 340
1197
+ 00:26:47,020 --> 00:26:52,780
1198
+ ูˆู…ูƒุงู† ุงุฑุชุจุงุทู‡ุง ุงุฎุชู„ูุŒ ูˆู‡ุฐุง ุทุจุนุง ุจุณุจุจ ุงู„ุณุจุจ ููŠ ุงู„ู€
1199
+
1200
+ 341
1201
+ 00:26:52,780 --> 00:26:57,260
1202
+ Rearrangement ุงู„ู„ูŠ ุตุงุฑุช ู„ู€ Chromosome. ุชู…ุงู… ู‡ุฐุง
1203
+
1204
+ 342
1205
+ 00:26:57,260 --> 00:27:00,540
1206
+ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ูˆ Normal Chromosome 5ุŒ ู„ุฃู†ู‡ ุนู†ุง ุฒูŠ ู…ุง
1207
+
1208
+ 343
1209
+ 00:27:00,540 --> 00:27:05,170
1210
+ ู‚ู„ู†ุง ุงู„ุชุฑุชูŠุจ ูŠุนู†ูŠ ุทุจูŠุนูŠ. ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ Derivative ุขุฎุฑ
1211
+
1212
+ 344
1213
+ 00:27:05,170 --> 00:27:08,850
1214
+ ู„ู‚ู‰ ูƒุฑูˆู…ูˆุฒูˆู… ุฎู…ุณุฉุŒ ูˆู…ู†ุจูŠู† ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงุฎุชู„ุงู ููŠ
1215
+
1216
+ 345
1217
+ 00:27:08,850 --> 00:27:14,450
1218
+ ุชุฑุชูŠุจ ุงู„ู€ probes ุนู† ุงู„ุทุจูŠุนูŠ. ุทูŠุจุŒ ุฅูŠุด ุงู„ุณุจุจ ุงู„ู„ูŠ
1219
+
1220
+ 346
1221
+ 00:27:14,450 --> 00:27:18,150
1222
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ู€ catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1223
+
1224
+ 347
1225
+ 00:27:18,150 --> 00:27:22,450
1226
+ ูˆูŠุคุฏูŠ ุฅู„ู‰ chromotripsisุŸ ุงู„ุณุจุจ ู…ุง ุฒุงู„ ุบูŠุฑ ู…ุนุฑูˆูุŒ
1227
+
1228
+ 348
1229
+ 00:27:22,450 --> 00:27:27,350
1230
+ ู„ูƒู† ููŠู†ุง suggestionsุŒ three suggestions have been
1231
+
1232
+ 349
1233
+ 00:27:27,350 --> 00:27:32,460
1234
+ proposed. ุซู„ุงุซ ุงู‚ุชุฑุงุญุงุช ู„ุฅูŠุด ุณุจุจ ุงู„ุญุฏูˆุซ
1235
+
1236
+ 350
1237
+ 00:27:32,460 --> 00:27:36,820
1238
+ ู„ู€ Chromotripsis ู‡ุฐู‡ุŸ ูˆุงุญุฏ ู…ู† ุงู„ู€ suggestions ุงู„ู€
1239
+
1240
+ 351
1241
+ 00:27:36,820 --> 00:27:41,340
1242
+ ionizing radiation that leads to chromosome breaks
1243
+
1244
+ 352
1245
+ 00:27:41,340 --> 00:27:44,920
1246
+ ุฃูˆ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ ionizing
1247
+
1248
+ 353
1249
+ 00:27:44,920 --> 00:27:48,220
1250
+ radiationุŒ ูˆู†ุดูˆู ูƒูŠู ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุง chromosome
1251
+
1252
+ 354
1253
+ 00:27:48,220 --> 00:27:53,840
1254
+ double strand ุงู„ู„ูŠ ู‡ูˆ chromosome breaks. ุฃูŠุถุง ุนู†ุฏู†ุง
1255
+
1256
+ 355
1257
+ 00:27:53,840 --> 00:27:59,240
1258
+ telomere dysfunction which may lead to end-end
1259
+
1260
+ 356
1261
+ 00:27:59,240 --> 00:28:03,240
1262
+ chromosome fusion. ุงู‡ ุฒูŠ ู…ุง ุงุญู†ุง ุนุงุฑููŠู† ุฃู†ู‡ ู…ู†
1263
+
1264
+ 357
1265
+ 00:28:03,240 --> 00:28:07,840
1266
+ ูˆุธุงุฆู ุงู„ุชู„ูˆู…ูŠุฑ ุฃู†ู‡ ุจูŠู…ู†ุน ู…ู† ุงู„ุงุฑุชุจุงุท ุงู„ู€ ends
1267
+
1268
+ 358
1269
+ 00:28:07,840 --> 00:28:11,240
1270
+ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู… ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ. ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง
1271
+
1272
+ 359
1273
+ 00:28:11,240 --> 00:28:14,640
1274
+ ู…ุดูƒู„ุฉ ุจูŠู‡ ุงู„ุชู„ูˆู…ูŠุฑุŒ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูŠุคุฏูŠ ุงู„ู‰ ุงุฑุชุจุงุท
1275
+
1276
+ 360
1277
+ 00:28:14,640 --> 00:28:17,980
1278
+ chromosomes end to end ู…ุน ุจุนุถ ุงู„ุจุนุถุŒ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ
1279
+
1280
+ 361
1281
+ 00:28:17,980 --> 00:28:22,940
1282
+ ุงู„ู‰ ุทุจุนุง ุจุนุฏ ู‡ูŠูƒ breaking ู„ู„ูƒุฑูˆู…ูˆุฒูˆู…ุŒ ูˆ rearrangement
1283
+
1284
+ 362
1285
+ 00:28:22,940 --> 00:28:28,300
1286
+ ู„ู„ูƒุฑูˆู…ูˆุฒูˆู…. ุงู„ุณุจุจ ุงู„ุซุงู„ุซ ุฃูˆ ุงู„ู€ suggestion ุงู„ุซุงู„ุซุฉ
1287
+
1288
+ 363
1289
+ 00:28:28,300 --> 00:28:31,300
1290
+ ุจูŠู‚ูˆู„ ุฃู†ู‡ aborted apoptosis such that cells which
1291
+
1292
+ 364
1293
+ 00:28:31,300 --> 00:28:35,840
1294
+ have initiated DNA fragmentation survived. ุทุจุนุง ุฃู†ู‡
1295
+
1296
+ 365
1297
+ 00:28:35,840 --> 00:28:39,800
1298
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง induction ู„ู€ apoptosis ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ูˆ
1299
+
1300
+ 366
1301
+ 00:28:39,800 --> 00:28:44,200
1302
+ ุทุจุนุง ุถู…ู† ุฎุทูˆุงุช ุงู„ู€ apoptosis ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ DNA
1303
+
1304
+ 367
1305
+ 00:28:44,200 --> 00:28:49,480
1306
+ fragmentationุŒ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชูƒุณุฑ ู„ ุงู„ู€ DNA. ูŠุจู‚ู‰
1307
+
1308
+ 368
1309
+ 00:28:49,480 --> 00:28:54,020
1310
+ ู…ู…ูƒู† ูŠูƒูˆู† ุณุจุจ ู„ู€ Chromothripsis ุฅู† ุฎู„ูŠุฉ ุตุงุฑ ููŠู‡ุง
1311
+
1312
+ 369
1313
+ 00:28:54,020 --> 00:28:57,240
1314
+ induction ู„ู€ ApoptosisุŒ ูˆ ุจุนุฏ ู‡ูŠูƒ ุนู…ู„ูŠุฉ ุงู„ู€
1315
+
1316
+ 370
1317
+ 00:28:57,240 --> 00:29:01,360
1318
+ Apoptosis ู„ูŠู‡ุง ุชูˆู‚ูุชุŒ ุทุจุนุง ุจุนุฏ ู…ุง ุตุงุฑ ููŠ ุนู†ุง ุงู„ู€
1319
+
1320
+ 371
1321
+ 00:29:01,360 --> 00:29:05,660
1322
+ DNA fragmentation ูˆ ุงู„ุชูƒุณุฑ ู„ูƒุฑูˆู…ูˆุฒูˆู…ุงุช ุฃูˆ
1323
+
1324
+ 372
1325
+ 00:29:05,660 --> 00:29:11,080
1326
+ Chromothripsis. ูŠุจู‚ู‰ ู‡ุฐู‡ ุซู„ุงุซ suggestions ู„ุณุจุจ
1327
+
1328
+ 373
1329
+ 00:29:11,080 --> 00:29:14,680
1330
+ ุญุฏูˆุซ ู„ู€ Chromothripsis. ุจุงู„ู†ุณุจุฉ ู„ู€ location of
1331
+
1332
+ 374
1333
+ 00:29:14,680 --> 00:29:20,290
1334
+ mutationุŒ ุงู„ู€ mutations may occur anywhere across a
1335
+
1336
+ 375
1337
+ 00:29:20,290 --> 00:29:22,990
1338
+ particular gene but the location will determine
1339
+
1340
+ 376
1341
+ 00:29:22,990 --> 00:29:25,570
1342
+ whether some of these mutations give rise to
1343
+
1344
+ 377
1345
+ 00:29:25,570 --> 00:29:29,650
1346
+ growth advantage and contribute to carcinogenesis.
1347
+
1348
+ 378
1349
+ 00:29:29,650 --> 00:29:34,290
1350
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ู€ mutation ุชุตูŠุฑ ุจุฃูŠ ู…ูƒุงู†ุŒ ูˆ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ
1351
+
1352
+ 379
1353
+ 00:29:34,290 --> 00:29:38,630
1354
+ ุญุชุตูŠุฑ ููŠู‡ mutation ู‡ูŠ ุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ุชุญุฏุฏ ุฅุฐุง ูƒุงู† ุตุงุฑ
1355
+
1356
+ 380
1357
+ 00:29:38,630 --> 00:29:43,250
1358
+ ููŠู‡ a growth advantage ุจุณุจุจ ู‡ุฐู‡ ุงู„ู€ mutation ุฃูˆ ู„ุง.
1359
+
1360
+ 381
1361
+ 00:29:44,730 --> 00:29:48,890
1362
+ ูˆุงู„ุขู† ุจู†ุงุก ุนู„ู‰ location of mutation ู…ู…ูƒู† ู†ู‚ุณู… ุงู„ู€
1363
+
1364
+ 382
1365
+ 00:29:48,890 --> 00:29:53,810
1366
+ mutations ุฅู„ู‰ two types. ููŠู†ุง ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ
1367
+
1368
+ 383
1369
+ 00:29:53,810 --> 00:30:00,470
1370
+ ุงู„ู€ driver mutationsุŒ ูˆ ุงู„ู€ driver mutations ู‡ูŠ a
1371
+
1372
+ 384
1373
+ 00:30:00,470 --> 00:30:05,810
1374
+ mutation ุจุชุญุฏุซ ุงู„ู€ crucial genetic mutations that
1375
+
1376
+ 385
1377
+ 00:30:05,810 --> 00:30:09,950
1378
+ initiated carcinogenesis. ุจูŠุตูŠุฑ ููŠู†ุง genetic
1379
+
1380
+ 386
1381
+ 00:30:09,950 --> 00:30:14,370
1382
+ mutationsุŒ ูˆ ุงู„ู€ Genetic Mutation ู‡ุฐู‡ ุจุชุนุทูŠ ุงู„ู€
1383
+
1384
+ 387
1385
+ 00:30:14,370 --> 00:30:19,010
1386
+ Growth ุทุจุนุง advantageุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ Driver
1387
+
1388
+ 388
1389
+ 00:30:19,010 --> 00:30:26,450
1390
+ mutations ู‡ุชูƒูˆู† ุฅู…ุง ุชุณุจุจ ุงู„ู„ูŠ ู‡ูˆ ูŠุนู†ูŠ Oncogenic
1391
+
1392
+ 389
1393
+ 00:30:26,450 --> 00:30:31,810
1394
+ fusion geneุŒ ุฃูˆ ู…ู…ูƒู† ุงู„ู€ Mutation ู‡ุฐู‡ ุชุฃุซุฑ ุนู„ู‰ ุงู„ู€
1395
+
1396
+ 390
1397
+ 00:30:31,810 --> 00:30:37,250
1398
+ tumor suppressor geneุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุตุจุญ non-functional.
1399
+
1400
+ 391
1401
+ 00:30:37,250 --> 00:30:41,570
1402
+ ูŠุจู‚ู‰ ุงู„ู€ driver mutations gives a growth advantage
1403
+
1404
+ 392
1405
+ 00:30:41,570 --> 00:30:45,350
1406
+ on cellsุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ tumor genesis
1407
+
1408
+ 393
1409
+ 00:30:45,350 --> 00:30:49,370
1410
+ ู„ุฃู† Oncogenes ุฃูˆ ุงู„ู€ tumor suppressor genes ุจูŠูƒูˆู†ูˆุง
1411
+
1412
+ 394
1413
+ 00:30:49,370 --> 00:30:53,890
1414
+ involved. ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ู€ mutations ุงู„ู„ูŠ ูŠุณู…ู‰ ุจุงู„ู€
1415
+
1416
+ 395
1417
+ 00:30:53,890 --> 00:30:59,550
1418
+ passenger mutations. Passenger mutations do not
1419
+
1420
+ 396
1421
+ 00:30:59,550 --> 00:31:04,330
1422
+ confer a growth advantage. ูŠุจู‚ู‰ ุนุจุงุฑุฉ ุนู† somatic
1423
+
1424
+ 397
1425
+ 00:31:04,330 --> 00:31:09,930
1426
+ mutations ู„ูƒู† without functional consequences. ู‡ูŠุจู‚ู‰
1427
+
1428
+ 398
1429
+ 00:31:09,930 --> 00:31:16,250
1430
+ ู…ุด ู‡ูŠุชุฑุชุจ ุนู„ู‰ ู‡ุฐู‡ ุงู„ู€ mutations ุฅุดูŠ ุจูŠุชุนู„ู‚ ุจูŠู‡ ุงู„ู„ูŠ
1431
+
1432
+ 399
1433
+ 00:31:16,250 --> 00:31:20,370
1434
+ ู‡ูˆ ุงู„ู€ growth advantage ุฃูˆ ุงู„ู„ูŠ ุจูŠุนุทูŠ ู…ู…ูƒู† ู…ูŠุฒุฉ ู„ู‚ู‰
1435
+
1436
+ 400
1437
+ 00:31:20,370 --> 00:31:24,
1438
+
1439
+ 445
1440
+ 00:34:43,930 --> 00:34:46,970
1441
+ ุชุนุทูŠู†ูŠ messenger RNA ูˆ ุชุนุทูŠู†ูŠ ุงู„ู€ translation ูˆ
1442
+
1443
+ 446
1444
+ 00:34:46,970 --> 00:34:51,150
1445
+ ุชุนุทูŠู†ูŠ ุงู„ู€ functional protein ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ
1446
+
1447
+ 447
1448
+ 00:34:51,150 --> 00:34:55,510
1449
+ ุนู†ุฏูŠ mutation ููŠ ุงู„ู€ coding region ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ู…ูƒู†
1450
+
1451
+ 448
1452
+ 00:34:55,510 --> 00:35:01,400
1453
+ ุชุคุซุฑ ุนู„ู‰ ุงู„ู€ function of the gene ู…ู…ูƒู† ุชุบูŠุฑ
1454
+
1455
+ 449
1456
+ 00:35:01,400 --> 00:35:05,900
1457
+ limitations ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠุฑ ููŠ ุงู„ู€ amino acid
1458
+
1459
+ 450
1460
+ 00:35:05,900 --> 00:35:10,880
1461
+ sequence ูˆุจุงู„ุชุงู„ูŠ ุนู„ู‰ ุงู„ู€ three dimensional structure
1462
+
1463
+ 451
1464
+ 00:35:10,880 --> 00:35:16,380
1465
+ ู„ู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ุชุบูŠุฑ ููŠ ุงู„ู€ function ู„ู„ุจุฑูˆุชูŠู† ู…ู…ูƒู†
1466
+
1467
+ 452
1468
+ 00:35:16,380 --> 00:35:23,060
1469
+ ุญุฏูˆุซ mutation ูŠุคุฏูŠ ุฅู„ู‰ truncated protein ู„ุฃู† ู…ู…ูƒู†
1470
+
1471
+ 453
1472
+ 00:35:23,060 --> 00:35:26,640
1473
+ ุงู„ู€ mutation ู‡ุฐุง ูŠุนู…ู„ ู„ูŠ stop codon ูˆุจุงู„ุชุงู„ูŠ
1474
+
1475
+ 454
1476
+ 00:35:26,640 --> 00:35:31,720
1477
+ ูŠ๏ฟฝ๏ฟฝูˆู‚ู ุนู†ุฏูŠ ุนู…ู„ูŠุฉ ุงู„ู€ translation ู„ู„ู€ messenger RNA
1478
+
1479
+ 455
1480
+ 00:35:31,720 --> 00:35:36,760
1481
+ ูˆู…ุง ูŠูƒูˆู†ุด ุนู†ุฏูŠ ุงู„ู†ุงุชุฌ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจุฑูˆุชูŠู† ุงู„ูƒุงู…ู„ ุงู„ู„ูŠ
1482
+
1483
+ 456
1484
+ 00:35:36,760 --> 00:35:41,100
1485
+ ู‡ูŠูƒูˆู† ุฌุฒุก ู…ู† ุงู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู† non
1486
+
1487
+ 457
1488
+ 00:35:41,100 --> 00:35:47,790
1489
+ -functional protein. ุงู„ู†ู‚ุทุฉ ูŠุนู†ูŠ ุจุชุญุชุงุฌ ู…ู†ู†ุง ู…ู…ูƒู†
1490
+
1491
+ 458
1492
+ 00:35:47,790 --> 00:35:53,930
1493
+ ู„ู„ุชููƒูŠุฑ ุจู‡ุง ุจุนู…ู‚ ูˆู‡ูŠ ุชุชุนู„ู‚ ุจุงู„ู€ mitochondrial
1494
+
1495
+ 459
1496
+ 00:35:53,930 --> 00:35:58,050
1497
+ DNA. ูŠุนู†ูŠ ุงุญู†ุง ุงู„ูƒู„ุงู… ุงู„ุณุงุจู‚ ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ูˆุงู„ู€
1498
+
1499
+ 460
1500
+ 00:35:58,050 --> 00:36:03,050
1501
+ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ูƒู„ู†ุง ุทุจุนุง ู†ู‚ุตุฏ ุงู„ู€ genome DNA
1502
+
1503
+ 461
1504
+ 00:36:03,050 --> 00:36:07,070
1505
+ ุทูŠุจ ุงู„ุขู† ุฒูŠ ู…ุง ุญู†ุนุฑู ุฃู† ููŠ ุนู†ุฏู†ุง ุงู„ู€
1506
+
1507
+ 462
1508
+ 00:36:07,070 --> 00:36:09,170
1509
+ mitochondrial DNA
1510
+
1511
+ 463
1512
+ 00:36:11,140 --> 00:36:16,040
1513
+ ุทุจุนุงู‹ ุงู„ู€ size ู„ู„ู€ mitochondrial DNA ูŠุนู†ูŠ ุตุบูŠุฑ
1514
+
1515
+ 464
1516
+ 00:36:16,040 --> 00:36:22,080
1517
+ ู„ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุฏุฑุงุณุงุช ู„ู‚ูˆุง ุฃู† ุงู„ู€ mitochondrial DNA
1518
+
1519
+ 465
1520
+ 00:36:22,080 --> 00:36:28,160
1521
+ is associated with multiple types of cancer ูˆู„ู‡
1522
+
1523
+ 466
1524
+ 00:36:28,160 --> 00:36:31,100
1525
+ ุนู„ุงู‚ุฉ ุงู„ู€ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ููŠ ุงู„ู€ mitochondrial
1526
+
1527
+ 467
1528
+ 00:36:31,100 --> 00:36:36,340
1529
+ DNA ุจุนู„ุงู‚ุฉ ุจู€ formationุŒ ุงู„ู€ growth ูˆุฃูŠุถุง ุงู„ู€
1530
+
1531
+ 468
1532
+ 00:36:36,340 --> 00:36:42,370
1533
+ metastasis ู„ู€ tumor cells. ุงู„ู€ mitochondrial DNA lacks
1534
+
1535
+ 469
1536
+ 00:36:42,370 --> 00:36:46,350
1537
+ histones and has a lower capacity for DNA repair
1538
+
1539
+ 470
1540
+ 00:36:46,350 --> 00:36:50,910
1541
+ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุจูŠุฒูŠุฏ ุงู„ู…ุดูƒู„ุฉุŒ ู…ุด ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA
1542
+
1543
+ 471
1544
+ 00:36:50,910 --> 00:36:54,110
1545
+ ุงู„ู€ nuclear DNA ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง defense
1546
+
1547
+ 472
1548
+ 00:36:54,110 --> 00:36:57,610
1549
+ mechanismsุŒ ููŠ ุนู†ุฏู†ุง repair mechanisms ู…ูˆุฌูˆุฏุฉุŒ ู„ูƒู†
1550
+
1551
+ 473
1552
+ 00:36:57,610 --> 00:37:01,930
1553
+ ุจุงู„ู†ุณุจุฉ ู„ู€ mitochondrial DNA ุชู…ุงู…ุงู‹ุŒ has a lower
1554
+
1555
+ 474
1556
+ 00:37:01,930 --> 00:37:06,950
1557
+ capacity for DNA repair ูˆุจุงู„ุชุงู„ูŠ ู…ุดูƒู„ุฉ ุฃูˆ ุฃู† ูŠุตูŠุฑ
1558
+
1559
+ 475
1560
+ 00:37:06,950 --> 00:37:10,250
1561
+ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑุŒ mutations ูˆุชุบูŠุฑ ููŠ ุงู„ู€
1562
+
1563
+ 476
1564
+ 00:37:10,250 --> 00:37:15,220
1565
+ mitochondrial DNA ุฃูƒุจุฑุŒ making it susceptible to a
1566
+
1567
+ 477
1568
+ 00:37:15,220 --> 00:37:19,550
1569
+ mutation. Currently, the role of mitochondrial DNA
1570
+
1571
+ 478
1572
+ 00:37:19,550 --> 00:37:22,370
1573
+ mutations in cancer initiation is controversial.
1574
+
1575
+ 479
1576
+ 00:37:22,710 --> 00:37:26,550
1577
+ ู„ูŠุณ ู‡ู†ุงูƒ ุฅุฌู…ุงุน ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚ ุจู€ mutations ุงู„ู„ูŠ
1578
+
1579
+ 480
1580
+ 00:37:26,550 --> 00:37:31,070
1581
+ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial DNA ูˆุญุฏูˆุซ ุงู„ู€ cancer ู„ูƒู†
1582
+
1583
+ 481
1584
+ 00:37:31,070 --> 00:37:36,170
1585
+ ููŠ ุนู†ุฏู†ุง ุชู‚ุฑูŠุฑ ู…ู‡ู… ุชู… ู†ุดุฑู‡ ููŠ ุงู„ู€ Science Journal
1586
+
1587
+ 482
1588
+ 00:37:36,170 --> 00:37:41,490
1589
+ ูˆู‡ูŠ ุทุจุนุง ูŠุนู†ูŠ ู…ุฌู„ุฉ ุนุฑูŠู‚ุฉ ูˆุชู†ุดุฑ ููŠู‡ุง ุงู„ุฃุจุญุงุซ ุงู„ู…ู‡ู…ุฉ
1590
+
1591
+ 483
1592
+ 00:37:42,110 --> 00:37:45,310
1593
+ ู‡ุฐุง ุงู„ู€ report presents evidence that specific
1594
+
1595
+ 484
1596
+ 00:37:45,310 --> 00:37:48,670
1597
+ mitochondrial DNA mutations can increase the
1598
+
1599
+ 485
1600
+ 00:37:48,670 --> 00:37:53,290
1601
+ ability of cancer cells to spread. ููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
1602
+
1603
+ 486
1604
+ 00:37:53,290 --> 00:37:56,550
1605
+ ูŠุนู„ู† ุฃู† ุงู„ู€ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial
1606
+
1607
+ 487
1608
+ 00:37:56,550 --> 00:38:02,190
1609
+ DNA ุจุชุฒูŠุฏ ู…ู† ู‚ุฏุฑุฉ ุงู„ู€ cancer ุนู„ู‰ ุงู„ุงู†ุชุดุงุฑ ูˆุฅุญุฏุงุซ
1610
+
1611
+ 488
1612
+ 00:38:02,190 --> 00:38:05,390
1613
+ metastasis. ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู„ุซุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ููŠู‡ุง ููŠ
1614
+
1615
+ 489
1616
+ 00:38:05,390 --> 00:38:10,500
1617
+ ุงู„ู…ุญุงุถุฑุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ carcinogenic agents. ุจุนุถ ู…ุฌู…ูˆุนุงุช
1618
+
1619
+ 490
1620
+ 00:38:10,500 --> 00:38:17,100
1621
+ ุงู„ู€ carcinogens ุชู… ุงูƒุชุดุงูู‡ุง ูˆู…ู† ุงู„ู€ carcinogens ููŠู†ุง
1622
+
1623
+ 491
1624
+ 00:38:17,100 --> 00:38:23,500
1625
+ ุงู„ู€ radiationุŒ ุงู„ู€ chemicalsุŒ ุงู„ู€ infections ูˆุงู„ู€ pathogens ูˆุนู†ุฏู†ุง
1626
+
1627
+ 492
1628
+ 00:38:23,500 --> 00:38:28,600
1629
+ ู…ุฌู…ูˆุนุงุช ุงู†ุฏูˆุฌูŠู†ูŠุฉ ู…ุนูŠู†ุฉ. ูŠุจู‚ู‰ ุฏูˆู„ ุจุนุถ ู…ุฌู…ูˆุนุงุช
1630
+
1631
+ 493
1632
+ 00:38:28,600 --> 00:38:35,000
1633
+ ุงู„ู€ carcinogens ูˆุญู†ุญูƒูŠ ุนู„ู‰ ุงู„ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู‡ุฐู‡ ูˆุงุญุฏุฉ
1634
+
1635
+ 494
1636
+ 00:38:35,000 --> 00:38:41,430
1637
+ ูˆุงุญุฏุฉ. ุงู„ู€ radiation ู‡ูŠ ุทุงู‚ุฉ ุชุญู…ู„ ุทุงู‚ุฉ ูˆุฅุฐุง ูƒุงู† ุตุงุฑ
1638
+
1639
+ 495
1640
+ 00:38:41,430 --> 00:38:46,990
1641
+ ููŠ ุนู†ุฏู†ุง ุงู…ุชุตุงุต ู„ู€ wavesุŒ ุงู„ู€ radiation waves ู…ุน
1642
+
1643
+ 496
1644
+ 00:38:46,990 --> 00:38:52,990
1645
+ ุงู„ุฎู„ุงูŠุง ูˆุจุดูƒู„ ุฎุงุต ุทุจุนุงู‹ ู…ุน ุงู„ู€ genome ู…ุน ุงู„ู€ DNA ุฅุฐุง
1646
+
1647
+ 497
1648
+ 00:38:52,990 --> 00:38:57,950
1649
+ ู…ู…ูƒู† ุงู„ุทุงู‚ุฉ ู‡ุฐู‡ ุชู†ุชู‚ู„ ุฅู„ู‰ ุงู„ู€ DNA ูˆุชุนู…ู„ damage ููŠ ุงู„ู€
1650
+
1651
+ 498
1652
+ 00:38:57,950 --> 00:39:03,610
1653
+ DNA. there are two forms of radiation energy
1654
+
1655
+ 499
1656
+ 00:39:03,610 --> 00:39:05,510
1657
+ traveling in waves
1658
+
1659
+ 500
1660
+ 00:39:07,860 --> 00:39:15,200
1661
+ ูˆุงู„ู„ูŠ ุจุชุดู…ู„ ุงู„ู€ Gamma Rays ูˆุงู„ู€ X-Rays ูˆุนู†ุฏู†ุง ุงู„ู€
1662
+
1663
+ 501
1664
+ 00:39:15,200 --> 00:39:19,320
1665
+ stream of atomic particles. ุฅู…ุง radiation
1666
+
1667
+ 502
1668
+ 00:39:19,320 --> 00:39:24,570
1669
+ traveling in waves ุฃูˆ stream of atomic particles ูˆุงู„ู„ูŠ
1670
+
1671
+ 503
1672
+ 00:39:24,570 --> 00:39:28,190
1673
+ ุจุชุดู…ู„ ุงู„ุฃู†ูˆุงุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Alpha ูˆุงู„ู€ Beta
1674
+
1675
+ 504
1676
+ 00:39:28,190 --> 00:39:32,650
1677
+ particles that are emitted by radioactive atoms
1678
+
1679
+ 505
1680
+ 00:39:32,650 --> 00:39:36,490
1681
+ Alpha particles comprise two protons and two
1682
+
1683
+ 506
1684
+ 00:39:36,490 --> 00:39:41,350
1685
+ neutrons ุจูŠู†ู…ุง ุงู„ู€ Beta particles comprise
1686
+
1687
+ 507
1688
+ 00:39:41,350 --> 00:39:45,650
1689
+ electrons. ุทูŠุจ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู€ figure ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูˆุถุญ
1690
+
1691
+ 508
1692
+ 00:39:45,650 --> 00:39:49,760
1693
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุนูŠุฉ ู…ู† ุงู„ู€ radiation. ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ููŠ
1694
+
1695
+ 509
1696
+ 00:39:49,760 --> 00:39:54,940
1697
+ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงู„ Alpha ูˆ Beta ุงู„ู„ูŠ ุจูŠูƒูˆู†
1698
+
1699
+ 510
1700
+ 00:39:54,940 --> 00:40:00,940
1701
+ ุนู„ู‰ ุดูƒู„ particles ูˆููŠ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ุขุฎุฑ ุงู„ู„ูŠ ุฒูŠ
1702
+
1703
+ 511
1704
+ 00:40:00,940 --> 00:40:06,880
1705
+ Gamma ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† waves ูˆุทุจุนุงู‹ ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
1706
+
1707
+ 512
1708
+ 00:40:06,880 --> 00:40:15,270
1709
+ ู…ู† ุงู„ู€ radiation ุชุฎุชู„ู ููŠ ู‚ุฏุฑุชู‡ุง ุนู„ู‰ ุงู„ุงุฎุชุฑุงู‚ ู„ุฃุฌุณุงู… ุงู„ู…ุฎุชู„ูุฉ
1710
+
1711
+ 513
1712
+ 00:40:15,270 --> 00:40:20,890
1713
+ ุทุจุนุงู‹ ู…ุฎุชู„ูุฉ. ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ู€ alpha ู…ู…ูƒู†
1714
+
1715
+ 514
1716
+ 00:40:20,890 --> 00:40:24,410
1717
+ paper or a few centimeters of air stops alpha
1718
+
1719
+ 515
1720
+ 00:40:24,410 --> 00:40:30,170
1721
+ particles ู„ูƒู† ู…ุด ู‡ูŠู‚ุฏุฑ ูŠูˆู‚ู ุงู„ู€ beta particles ูˆุงู„ู€
1722
+
1723
+ 516
1724
+ 00:40:30,170 --> 00:40:33,990
1725
+ beta particles ู…ู…ูƒู† ูŠูˆู‚ูู‡ุง one centimeter of
1726
+
1727
+ 517
1728
+ 00:40:33,990 --> 00:40:39,610
1729
+ aluminium stops beta particles. ู„ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูƒุซุฑ
1730
+
1731
+ 518
1732
+ 00:40:39,610 --> 00:40:43,330
1733
+ ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงุฎุชุฑุงู‚ ู‡ูˆ ุงู„ู€ Gamma ูˆุงู„ู„ูŠ ู…ู…ูƒู† ุทุจุนุงู‹
1734
+
1735
+ 519
1736
+ 00:40:43,330 --> 00:40:46,370
1737
+ ูŠุฎุชุฑู‚ ุงู„ู„ูŠ ู‡ูˆ one meter of air ุฃูˆ one centimeter
1738
+
1739
+ 520
1740
+ 00:40:46,370 --> 00:40:52,530
1741
+ of aluminium ู„ูƒู† ุทุจุนุงู‹ ูŠุนู†ูŠ ุบูŠุฑ ู‚ุงุฏุฑ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ
1742
+
1743
+ 521
1744
+ 00:40:52,530 --> 00:40:57,550
1745
+ ุงุฎุชุฑุงู‚ several centimeters of lead ุฃูˆ one meter of
1746
+
1747
+ 522
1748
+ 00:40:57,550 --> 00:41:00,830
1749
+ concrete. ุงู„ู€ both forms of radiation can damage DNA
1750
+
1751
+ 523
1752
+ 00:41:00,830 --> 00:41:07,270
1753
+ and act as carcinogens. ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู€ radiation ู‡ูˆ
1754
+
1755
+ 524
1756
+ 00:41:07,270 --> 00:41:11,650
1757
+ ุนุจุงุฑุฉ ุนู† energy ูˆุงู„ู€ amount of energy released by
1758
+
1759
+ 525
1760
+ 00:41:11,650 --> 00:41:14,710
1761
+ a particular radiation source affects the
1762
+
1763
+ 526
1764
+ 00:41:14,710 --> 00:41:17,790
1765
+ mechanism and extent of damage to DNA
1766
+
1767
+ 527
1768
+ 00:41:35,760 --> 00:41:42,980
1769
+ ุจุชู… ุงู…ุชุตุงุตู‡ุง ู…ู† ู‡ุฐู‡ ุงู„ู€ radiation ูˆุจุชู†ุชุดุฑ ููŠ ุงู„ู€ body
1770
+
1771
+ 528
1772
+ 00:41:42,980 --> 00:41:48,280
1773
+ tissue. ู‡ุฐู‡ ุจู†ู‚ูŠุณู‡ุง ููŠ grades ูˆุชุนุฑูŠู ุงู„ู€ grade
1774
+
1775
+ 529
1776
+ 00:41:48,280 --> 00:41:51,600
1777
+ when a grade is released to the body tissue of one
1778
+
1779
+ 530
1780
+ 00:41:51,600 --> 00:41:56,580
1781
+ joule of energy per one kilogram of tissue. ุทูŠุจ
1782
+
1783
+ 531
1784
+ 00:41:56,580 --> 00:42:05,600
1785
+ ุงู„ุฃู‡ู… ู…ู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ุจุชู… ุงู…ุชุตุงุตู‡ุง ู‡ูˆ ูƒู…ูŠุฉ ุงู„ู€
1786
+
1787
+ 532
1788
+ 00:42:05,600 --> 00:42:10,800
1789
+ damage ุงู„ู„ูŠ ู…ู…ูƒู† ุชุญุฏุซู‡ุง ู‡ุฐู‡ ุงู„ุทุงู‚ุฉ. ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูˆ
1790
+
1791
+ 533
1792
+ 00:42:10,800 --> 00:42:18,020
1793
+ ุงู„ุฃู‡ู… ุชู…ุงู…ุงู‹ุŒ ู„ูŠุณ ู…ู‡ู…ุงู‹ ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉ ุงู„ุชูŠ ูŠุชู… ุงู…ุชุตุงุตู‡ุง
1794
+
1795
+ 534
1796
+ 00:42:18,020 --> 00:42:24,540
1797
+ ู…ู† ู‚ุจู„ ุงู„ุฌุณู… ูˆู„ูƒู† how much damage is done when the
1798
+
1799
+ 535
1800
+ 00:42:24,540 --> 00:42:28,840
1801
+ radiation has been absorbed. ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃู‡ู…
1802
+
1803
+ 536
1804
+ 00:42:28,840 --> 00:42:34,970
1805
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉ ุงู„ู…ู…ุชุตุฉ ุจุณุจุจ ู†ูˆุน radiation
1806
+
1807
+ 537
1808
+ 00:42:34,970 --> 00:42:41,490
1809
+ ูŠูƒูˆู† ุฃุนู„ู‰ ู„ูƒู† ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ู€ radiation ู…ู…ูƒู† ูƒู…ูŠุฉ
1810
+
1811
+ 538
1812
+ 00:42:41,490 --> 00:42:46,850
1813
+ ุงู„ุทุงู‚ุฉ ุชูƒูˆู† ุฃู‚ู„ ู„ูƒู† ุงู„ู€ damage ุงู„ู„ูŠ ุชุญุฏุซู‡ ู‡ุฐู‡ ุงู„ู€
1814
+
1815
+ 539
1816
+ 00:42:46,850 --> 00:42:51,690
1817
+ radiation ุชูƒูˆู† ุฃุนู„ู‰. ูŠุจู‚ู‰ amount of damage caused
1818
+
1819
+ 540
1820
+ 00:42:51,690 --> 00:42:56,290
1821
+ ุงู„ุขู† ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠุญุฏุฏ ุงู„ู€ damage ุงู„ู„ูŠ ู‡ุชุญุฏุซู‡ุง ู‡ุฐู‡ ุงู„ู€
1822
+
1823
+ 541
1824
+ 00:42:56,290 --> 00:43:02,390
1825
+ radiationุŸ ู‡ุฐุง ูŠุชูˆู‚ู ุนู„ู‰ The rate at which a
1826
+
1827
+ 542
1828
+ 00:43:02,390 --> 00:43:06,630
1829
+ particular radiation source releases energy. ูŠุจู‚ู‰
1830
+
1831
+ 543
1832
+ 00:43:06,630 --> 00:43:14,730
1833
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ู€ release ู„ู„ู€ energy. ูƒู„ ู…ุง ูƒุงู† ุงู„ู€ rate of
1834
+
1835
+ 544
1836
+ 00:43:14,730 --> 00:43:21,110
1837
+ release of energy higher ูƒู„ ู…ุง ูƒุงู† ุงู„ู€ damage
1838
+
1839
+ 545
1840
+ 00:43:21,110 --> 00:43:25,990
1841
+ ุงู„ู„ูŠ ู‡ุชุญุฏุซู‡ ู‡ุฐู‡ ุงู„ู€ energy ุฃูˆ ุงู„ู€ radiation ุฃูƒุจุฑ
1842
+
1843
+ 546
1844
+ 00:43:27,740 --> 00:43:31,080
1845
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุตุงุฏุฑ ุงู„ุฅุดุนุงุนูŠุฉ ุชุทุฑุญ ุทุงู‚ุฉ ุจุณุฑุนุฉ ุนุงู„ูŠุฉ
1846
+
1847
+ 547
1848
+ 00:43:31,080 --> 00:43:39,100
1849
+ ูู‡ูŠ ุชุณุจุจ ุฃูƒุซุฑ ุชุฏู…ูŠุฑุงู‹ ู…ู† ู…ุตุงุฏุฑ ุชุทุฑุญ energy more
1850
+
1851
+ 548
1852
+ 00:43:39,100 --> 00:43:43,700
1853
+ slowly. ูˆุงู„ู€ rate of energy release ู…ู…ูƒู† ูŠุชู…
1854
+
1855
+ 549
1856
+ 00:43:43,700 --> 00:43:48,260
1857
+ ุงู„ุชุนุจูŠุฑ ุนู†ู‡ ุนู† ุทุฑูŠู‚ ุงู„ู€ linear energy transfer ุฃูˆ
1858
+
1859
+ 550
1860
+ 00:43:48,260 --> 00:43:51,620
1861
+ LET. ุงู„ู€ linear energy transfer is used to help
1862
+
1863
+ 551
1864
+ 00:43:51,620 --> 00:43:56,220
1865
+ describe the rate at which energy is released by a
1866
+
1867
+ 552
1868
+ 00:43:56,220 --> 00:44:02,660
1869
+ radiation source as it travels a fixed distance. ูˆ
1870
+
1871
+ 553
1872
+ 00:44:02,660 --> 00:44:06,250
1873
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู…ู…ูƒู† ู†ู‚ุณู… ุงู„ู€ radiation ุฅู„ู‰ high linear
1874
+
1875
+ 554
1876
+ 00:44:06,250 --> 00:44:10,750
1877
+ energy transfer radiation ุฃูˆ low linear energy
1878
+
1879
+ 555
1880
+ 00:44:10,750 --> 00:44:16,470
1881
+ transfer radiation. ุงู„ู€ high linear energy transfer
1882
+
1883
+ 556
1884
+ 00:44:16,470 --> 00:44:19,910
1885
+ radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุนู…ู„ release
1886
+
1887
+ 557
1888
+ 00:44:19,910 --> 00:44:25,810
1889
+ ู„ูƒู…ูŠุฉ ูƒุจูŠุฑุฉ ู…ู† ุงู„ู€ energy ููŠ ูˆู‚ุช ู‚ุตูŠุฑ. ูŠุจู‚ู‰ emits
1890
+
1891
+ 558
1892
+ 00:44:25,810 --> 00:44:31,670
1893
+ more energy ูˆุจุงู„ุชุงู„ูŠ causes more biological damage
1894
+
1895
+ 559
1896
+ 00:44:31,670 --> 00:44:35,870
1897
+ ูˆุนู†ุฏู†ุง ู…ุซู„ ุงู„ู€ Alpha Particles. ุจูŠู†ู…ุง ุงู„ู€ low linear
1898
+
1899
+ 560
1900
+ 00:44:35,870 --> 00:44:40,550
1901
+ energy transfer ู‡ุฐู‡ ุงู„ู†ูˆุน ู…ู† ุงู„ู€ radiation ุงู„ู„ูŠ ู‡ูˆ
1902
+
1903
+ 561
1904
+ 00:44:40,550 --> 00:44:46,890
1905
+ it emits less energy ูˆุจุงู„ุชุงู„ูŠ causes less damage
1906
+
1907
+ 562
1908
+ 00:44:46,890 --> 00:44:49,610
1909
+ ูˆู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ู€ X-ray
1910
+
1911
+ 563
1912
+ 00:44:52,250 --> 00:44:55,750
1913
+ ุทุจุนุงู‹ ุงู„ู€ radiation ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ high linear energy
1914
+
1915
+ 564
1916
+ 00:44:55,750 --> 00:44:59,110
1917
+ transfer radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ุชุนู…ู„ damage ู„ู„ู€
1918
+
1919
+ 565
1920
+ 00:44:59,110 --> 00:45:03,710
1921
+ DNA. ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุงู‹ double-stranded DNA breaks
1922
+
1923
+ 566
1924
+ 00:45:03,710 --> 00:45:07,650
1925
+ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ chromosomal translocations
1926
+
1927
+ 567
1928
+ 00:45:07,650 --> 00:45:09,670
1929
+ ุฃูˆ deletions
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/8p5-r1DL99o_postprocess.srt ADDED
@@ -0,0 +1,2268 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,430 --> 00:00:06,490
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุณุชูƒู…ู„ ู…ุน ู…ุญุงุถุฑุงุช Molecular
4
+
5
+ 2
6
+ 00:00:06,490 --> 00:00:12,610
7
+ Biology of Cancer ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ุซุงู†ูŠุฉ ุจุนู†ูˆุงู† DNA
8
+
9
+ 3
10
+ 00:00:12,610 --> 00:00:18,310
11
+ Structure and Stability Mutations vs Repair ุงู„
12
+
13
+ 4
14
+ 00:00:18,310 --> 00:00:23,680
15
+ outline ู„ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ู‡ูŠ introductionูˆุจุนุฏูŠู†
16
+
17
+ 5
18
+ 00:00:23,680 --> 00:00:26,780
19
+ ุงู„ุฃุฌุฒุงุก ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู…ุญุงุถุฑุฉ Two parts of the gene
20
+
21
+ 6
22
+ 00:00:26,780 --> 00:00:30,040
23
+ regulatory region and the coding region mutations
24
+
25
+ 7
26
+ 00:00:30,040 --> 00:00:35,000
27
+ carcinogenic agents DNA repair and predispositions
28
+
29
+ 8
30
+ 00:00:35,000 --> 00:00:38,460
31
+ to cancer conventional therapies chemotherapy and
32
+
33
+ 9
34
+ 00:00:38,460 --> 00:00:42,120
35
+ radiation therapy ูˆstrategies that target DNA
36
+
37
+ 10
38
+ 00:00:42,120 --> 00:00:47,440
39
+ repair pathways ูˆู†ุจุฏุฃ ุจุงู„ู…ู‚ุฏู…ุฉ
40
+
41
+ 11
42
+ 00:00:49,100 --> 00:00:52,480
43
+ Genetic information coded with DNA requires
44
+
45
+ 12
46
+ 00:00:52,480 --> 00:00:58,660
47
+ stability ูˆุฒูŠ ู…ุง ุงุชูู‚ู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†ู‡
48
+
49
+ 13
50
+ 00:00:58,660 --> 00:01:03,100
51
+ Cancer is a disease of the genome ุงู„ู…ุดูƒู„ุฉ ุจุชุตูŠุฑ
52
+
53
+ 14
54
+ 00:01:03,100 --> 00:01:08,220
55
+ ููŠู‡ุง ุนู†ุฏู†ุง ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ DNA ูˆุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ genes
56
+
57
+ 15
58
+ 00:01:08,220 --> 00:01:12,580
59
+ ุงู„ู…ุฎุชู„ูุฉ ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ุจุดูƒู„ ุฃุณุงุณูŠ ุงู„ู€ oncogenes ูˆ ุงู„
60
+
61
+ 16
62
+ 00:01:12,580 --> 00:01:17,460
63
+ tumor suppressor genes ูŠุจู‚ู‰ ุฃูŠ ุชุบูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€
64
+
65
+ 17
66
+ 00:01:17,460 --> 00:01:21,400
67
+ genomeุทุจุนุง ู„ูˆ ุงู„ุชุบูŠุฑ ูƒุงู† ููŠ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
68
+
69
+ 18
70
+ 00:01:21,400 --> 00:01:26,640
71
+ ุจุฑุถู‡ ุจุงู„ processes ุงู„ู„ูŠ ุจุชุชุญูƒู… ุจุชุชุญูƒู… ุจุนุฏุฏ ุงู„ุฎู„ุงูŠุง
72
+
73
+ 19
74
+ 00:01:26,640 --> 00:01:31,220
75
+ ุงู„ู…ูˆุฌูˆุฏ ุฃู‚ู„ ูˆุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„
76
+
77
+ 20
78
+ 00:01:31,220 --> 00:01:34,420
79
+ growth ุนู†ุฏู†ุง ุงู„apoptosis ูˆุนู†ุฏู†ุง ุงู„ differentiation
80
+
81
+ 21
82
+ 00:01:35,170 --> 00:01:39,350
83
+ ูŠุจู‚ู‰ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ุทูŠุจ ุงู„ุขู† ูุนู„ูŠุง
84
+
85
+ 22
86
+ 00:01:39,350 --> 00:01:46,270
87
+ ุงู„ DNA ู‡ู„ ู‡ูˆ ูŠุนู†ูŠ ููŠ ู…ุนุฒู„ ุนู† ุงู„ factors ุงู„ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:01:46,270 --> 00:01:50,190
91
+ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุชุบูŠุฑุงุช ููŠ ุงู„ genomeุŸ ุทุจุนุง ู„ุฃ
92
+
93
+ 24
94
+ 00:01:50,190 --> 00:01:54,790
95
+ ูˆุฅู† ุงู„ุฌูŠู†ุงุช ูุนู„ูŠุง are subject to countless attacks
96
+
97
+ 25
98
+ 00:01:54,790 --> 00:01:58,430
99
+ by both environmental agents and endogenous
100
+
101
+ 26
102
+ 00:01:58,430 --> 00:02:02,590
103
+ processesู‡ูˆ ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ุงู„ู€ attacks ู…ุฎุชู„ูุฉ ุณูˆุงุก
104
+
105
+ 27
106
+ 00:02:02,590 --> 00:02:05,930
107
+ ู…ู† ุฎุงุฑุฌ ุงู„ุฌุณู… ูŠุนู†ูŠ ุฒูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู…ู…ูƒู† ุงู„
108
+
109
+ 28
110
+ 00:02:05,930 --> 00:02:10,030
111
+ carcinogens ุงู„ู…ุฎุชู„ูุฉ ุงู„ chemicals ุงู„ู…ุฎุชู„ูุฉ ุนู†ุฏู†ุง
112
+
113
+ 29
114
+ 00:02:10,030 --> 00:02:15,550
115
+ ุงู„ ุงู„ UV ูˆ ุฃูŠุถู‹ุง ุจุฑุถู‡ ู…ู† ุฏุงุฎู„ ุงู„ุฌุณู… ูŠุจู‚ู‰ ุงู„ ุงู„
116
+
117
+ 30
118
+ 00:02:15,550 --> 00:02:17,850
119
+ environmental agents ุงู„ู„ูŠ ู‡ูŠ exogenous ูˆ ุนู†ุฏู†ุง
120
+
121
+ 31
122
+ 00:02:17,850 --> 00:02:22,450
123
+ ุฃูŠุถู‹ุง ุงู„ endogenous ุงู„ processes ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุฏุงุฎู„
124
+
125
+ 32
126
+ 00:02:22,450 --> 00:02:26,490
127
+ ุงู„ุฌุณู…ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„ุงุฑุชูุงุน ู…ู…ูƒู† ููŠ ุงู„ู€Reactive
128
+
129
+ 33
130
+ 00:02:26,490 --> 00:02:30,270
131
+ Oxygen Species ูˆุงู„ุถุฑุฑ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุญุฏุซู‡
132
+
133
+ 34
134
+ 00:02:30,270 --> 00:02:37,370
135
+ ู„ู€Macromolecules ุฒูŠ ุงู„ู€DNA ูˆุฒูŠ ุงู„ู€Lipids ุชู…ุงู…ุŒ
136
+
137
+ 35
138
+ 00:02:37,370 --> 00:02:41,630
139
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ attacks ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ูŠู†ุชุฌ
140
+
141
+ 36
142
+ 00:02:41,630 --> 00:02:47,640
143
+ ุนู†ู‡ุง a mutation ุฃูˆ ูŠู†ุชุฌ ุนู†ู‡ุงdecision ู„ ุงู„ DNA
144
+
145
+ 37
146
+ 00:02:47,640 --> 00:02:51,220
147
+ cancer is a disease that involves alterations to
148
+
149
+ 38
150
+ 00:02:51,220 --> 00:02:55,820
151
+ gene structure ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู† ูŠุนู†ูŠ ู†ุญูƒูŠ ุจุงุฎุชุตุงุฑ
152
+
153
+ 39
154
+ 00:02:55,820 --> 00:02:59,000
155
+ ุนู† ุงู„ mutations ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ูŠุจู‚ู‰ ู…ู…ูƒู†
156
+
157
+ 40
158
+ 00:02:59,000 --> 00:03:03,780
159
+ ูŠุตูŠุฑ ููŠ ุนู†ุง ุชุบูŠูŠุฑ ู„ ุงู„ gene structure ู„ูƒู† ุฃูŠุถุง
160
+
161
+ 41
162
+ 00:03:03,780 --> 00:03:08,300
163
+ ู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ ุนู†ุง ุชุบูŠูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ gene
164
+
165
+ 42
166
+ 00:03:08,300 --> 00:03:11,600
167
+ expression ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ุด ุดุฑุท ุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง
168
+
169
+ 43
170
+ 00:03:12,120 --> 00:03:18,380
171
+ imutation ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง cancer ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุง
172
+
173
+ 44
174
+ 00:03:18,380 --> 00:03:22,740
175
+ ุชุบูŠูŠุฑ ู„ ุงู„ gene expression ูˆ ุงู„ู„ูŠ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู…ู†
176
+
177
+ 45
178
+ 00:03:22,740 --> 00:03:26,980
179
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู† ุงู„ epigenetics ู„ุฃู†ู‡
180
+
181
+ 46
182
+ 00:03:26,980 --> 00:03:31,170
183
+ ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ epigenetics ูŠุตูŠุฑ ููŠ ุนู†ุงsilencing
184
+
185
+ 47
186
+ 00:03:31,170 --> 00:03:36,150
187
+ ู„ุฌูŠู† ู…ุนูŠู† ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ ุนู†ุฏู†ุง ุงู„ุฌูŠู†ุงุช
188
+
189
+ 48
190
+ 00:03:36,150 --> 00:03:38,590
191
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจุฑุงูƒุงุฌูŠู†
192
+
193
+ 49
194
+ 00:03:38,590 --> 00:03:42,410
195
+ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ DNA repair
196
+
197
+ 50
198
+ 00:03:42,410 --> 00:03:48,130
199
+ ุงู„ุขู† ูˆุฌุฏูˆุง ุงู†ู‡ ููŠ ุจุนุถ ุญุงู„ุงุช ุงู„ breast cancer ู…ุงููŠุด
200
+
201
+ 51
202
+ 00:03:48,130 --> 00:03:53,750
203
+ ุฃูŠ mutation ููŠ ุงู„ุจุฑุงูƒุงุฌูŠู† ู„ูƒู† ูˆุฌุฏูˆุง ุงู†ู‡ ููŠ ุนู†ุฏู†ุง
204
+
205
+ 52
206
+ 00:03:53,750 --> 00:03:58,510
207
+ ุจูŠุตูŠุฑ silencing ู„ู„ุจุฑุงูƒุงุฌูŠู†
208
+
209
+ 53
210
+ 00:04:00,650 --> 00:04:05,230
211
+ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ methylation ู…ุซู„ุง ูŠุจู‚ู‰
212
+
213
+ 54
214
+ 00:04:05,230 --> 00:04:08,850
215
+ ุนู†ุฏู†ุง alteration ู„ุง ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene
216
+
217
+ 55
218
+ 00:04:08,850 --> 00:04:13,650
219
+ structure ู„ูƒู† ุจุฑุถู‡ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene expression
220
+
221
+ 56
222
+ 00:04:13,650 --> 00:04:17,650
223
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง silencing ู„ุง tumor
224
+
225
+ 57
226
+ 00:04:17,650 --> 00:04:23,330
227
+ suppressor genes ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
228
+
229
+ 58
230
+ 00:04:23,330 --> 00:04:27,090
231
+ accumulation of mutations ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู‡
232
+
233
+ 59
234
+ 00:04:27,090 --> 00:04:30,720
235
+ alteration ู„ุง gene structureูˆ ู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ
236
+
237
+ 60
238
+ 00:04:30,720 --> 00:04:35,840
239
+ ุนูŠู†ู†ุง one of cell catastrophic events may also
240
+
241
+ 61
242
+ 00:04:35,840 --> 00:04:38,720
243
+ generate mutations that underlie carcinogenesis
244
+
245
+ 62
246
+ 00:04:38,720 --> 00:04:44,280
247
+ called chromothripsis ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ูƒู…ุงู† ุดูˆูŠุฉ ูˆ
248
+
249
+ 63
250
+ 00:04:44,280 --> 00:04:49,520
251
+ chromo ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุจุชุนู†ูŠ chromosome ูˆthripsis
252
+
253
+ 64
254
+ 00:04:49,520 --> 00:04:55,490
255
+ ุจุชุนู†ูŠ breaking into small piecesูˆู‡ุฐุง ูุนู„ูŠุงู‹ ุงู„ู„ูŠ
256
+
257
+ 65
258
+ 00:04:55,490 --> 00:05:00,230
259
+ ุจูŠุตูŠุฑ ุจูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ ูƒุงุฑุซุฉ ููŠ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐู‡ ุชุคุฏูŠ ุฅู„ู‰
260
+
261
+ 66
262
+ 00:05:00,230 --> 00:05:08,610
263
+ ุนุดุฑุงุช ุจู„ ู…ุฆุงุช ู…ู…ูƒู† ู…ู† ูŠุนู†ูŠ ุงู„ุชูƒุณุฑ ู„ู„ูƒุฑู…ุฒูˆู…ุงุช ุนุดุฑุงุช
264
+
265
+ 67
266
+ 00:05:08,610 --> 00:05:13,750
267
+ ุฃูˆ ู…ุฆุงุช ู…ู† ุงู„ู‚ุทุนุฉ ุทูŠุจ ุฅุฐุง ูƒุงู† ู‡ุฐุง ูุนู„ูŠุง ุงู„ู…ูˆุฌูˆุฏ
268
+
269
+ 68
270
+ 00:05:13,750 --> 00:05:17,310
271
+ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู† ุงู„ุฎู„ุงูŠุง ู…ุนุฑุถุฉ ู„ู„ tags ุงู„ู„ูŠ ู‡ูˆ
272
+
273
+ 69
274
+ 00:05:17,310 --> 00:05:21,710
275
+ exogenous ูˆ endogenousูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ุฃู† ูŠูƒูˆู† ููŠ
276
+
277
+ 70
278
+ 00:05:21,710 --> 00:05:26,850
279
+ ุนู†ุฏู†ุง ุงู„ู…ุณุชูˆูŠุงุช ูˆุงู„ุชุบูŠุฑุงุช ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู…
280
+
281
+ 71
282
+ 00:05:26,850 --> 00:05:31,810
283
+ ุงู„ูƒุจูŠุฑุฉ ุทุจุนุง ุฒูŠ ู…ุง ููŠ ุนู†ุฏู†ุง attacks ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
284
+
285
+ 72
286
+ 00:05:31,810 --> 00:05:36,370
287
+ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ุงูŠุง ููŠ ุนู†ุฏู†ุง defense mechanisms ูููŠ
288
+
289
+ 73
290
+ 00:05:36,370 --> 00:05:42,350
291
+ ุนู†ุฏู†ุง ุฎุทูˆุท ุฏูุงุน ุจุชุนู…ู„ detection ู„ุฃูŠ ุชุบูŠุฑุงุช ุนู„ู‰
292
+
293
+ 74
294
+ 00:05:42,350 --> 00:05:49,440
295
+ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู… ูˆุจุชุนู…ู„ ุงู„ repair ุงู„ู„ุงุฒู…ุงู„ู€ cells are
296
+
297
+ 75
298
+ 00:05:49,440 --> 00:05:54,120
299
+ equipped with defense mechanisms against mutations
300
+
301
+ 76
302
+ 00:05:54,120 --> 00:06:01,030
303
+ ุฃูŠุถู‹ุง ู„ุฃู† ุงู„ู€ defense mechanism ู…ู‡ู…ุฉูˆุญูƒูŠู†ุง ุนู„ูŠู‡ุง
304
+
305
+ 77
306
+ 00:06:01,030 --> 00:06:05,590
307
+ ุจุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†ู‡ ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
308
+
309
+ 78
310
+ 00:06:05,590 --> 00:06:11,230
311
+ ุฃูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ genome ุฃูˆ ุชุบูŠุฑุงุช ููŠ ุงู„ genome ู…ู† ุงู„
312
+
313
+ 79
314
+ 00:06:11,230 --> 00:06:14,730
315
+ defense mechanisms ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง cell cycle
316
+
317
+ 80
318
+ 00:06:14,730 --> 00:06:19,410
319
+ arrest ุฃูˆ pausing ู„ุฃ ุงู„ cell cycle ุจูŠุนู†ู‰ ุจุชุชูˆู‚ู ุงู„
320
+
321
+ 81
322
+ 00:06:19,410 --> 00:06:23,630
323
+ cell cycle ุงูŠู‡ ุจุชุชูˆู‚ู ุงู„ cell cycle ุนุดุงู† ุชุนุทูŠ ูุฑุตุฉ
324
+
325
+ 82
326
+ 00:06:23,770 --> 00:06:29,210
327
+ ู„ู€ Repair Mechanisms ุฅู†ู‡ุง ุงู„ุชู…ุจ ุจุนุฏ ู‡ูŠูƒ ุทุจุนุง ุฎุท
328
+
329
+ 83
330
+ 00:06:29,210 --> 00:06:32,710
331
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฏูุงุน ุงู„ุฃุฎูŠุฑ ุฅุฐุง ูƒุงู† ู…ุงุตุงุฑุด ููŠ ุนู†ุง repair
332
+
333
+ 84
334
+ 00:06:32,710 --> 00:06:37,190
335
+ ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุง induction ู„-apoptosis
336
+
337
+ 85
338
+ 00:06:37,190 --> 00:06:41,450
339
+ ุทุจุนุง ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ูŠุนุชุจุฑ hard line defense ูŠุนู†ูŠ
340
+
341
+ 86
342
+ 00:06:41,450 --> 00:06:45,730
343
+ ุงู„ุฎุท ุงู„ุฏูุงุน ุงู„ุฃุตุนุจ ู„ุฃู† ู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนุง ุฅู„ู‰ ุงู„ู…ูˆุช
344
+
345
+ 87
346
+ 00:06:45,730 --> 00:06:50,740
347
+ ุงู„ู…ุฏุฑู…ุฌ ู„ุฎู„ูŠุฉุชู…ุงู… can be triggered as a last
348
+
349
+ 88
350
+ 00:06:50,740 --> 00:06:55,220
351
+ resort ู‡ูˆ ุฏุงูŠู…ุง ุงู„ุฎูŠุงุฑ ุงู„ุฃุฎูŠุฑ ุจุงู„ุฃูˆู„ ุงู„ุฎู„ูŠุฉ ุจุชุญุงูˆู„
352
+
353
+ 89
354
+ 00:06:55,220 --> 00:06:59,760
355
+ ุงู†ู‡ุง ุชุตู„ุญ ุงู†ู‡ ุชุนู…ู„ repair ู…ุงู†ุญุชุด ุนู…ู„ูŠุฉ ุงู„ repair
356
+
357
+ 90
358
+ 00:07:00,810 --> 00:07:04,030
359
+ ูŠุจู‚ู‰ ุงู„ุญู„ ุงู„ุฃุฎูŠุฑ ุฅู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ induction
360
+
361
+ 91
362
+ 00:07:04,030 --> 00:07:08,210
363
+ ู„ู€apoptosis ููŠ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ู†ุชุฎู„ุต ู…ู† ุงู„ุฎู„ูŠุฉ
364
+
365
+ 92
366
+ 00:07:08,210 --> 00:07:14,470
367
+ ูˆู†ุชุฎู„ุต ู…ู† ุงู„ mutations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ DNA ู„ุฃู†ู‡
368
+
369
+ 93
370
+ 00:07:14,470 --> 00:07:17,630
371
+ ู„ูˆ ู…ุงุตุงุฑุด apoptosis ู…ุนู†ุงุชู‡ ุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ู…ูƒู† ูŠุตูŠุฑ
372
+
373
+ 94
374
+ 00:07:17,630 --> 00:07:22,410
375
+ ู„ู‡ุง proliferation ูˆูŠู…ูƒู† ูŠุชุทูˆุฑ ุงู„ุฃู…ุฑ ุฅู„ู‰ ุญุฏูˆุซ
376
+
377
+ 95
378
+ 00:07:22,410 --> 00:07:25,630
379
+ cancer ุทูŠุจ ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‚ู„ู†ุงู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ู‡ูˆ
380
+
381
+ 96
382
+ 00:07:25,630 --> 00:07:27,570
383
+ two parts of the genome ููŠ ุนู†ุฏู†ุง ุงู„ regulatory
384
+
385
+ 97
386
+ 00:07:27,570 --> 00:07:30,610
387
+ region and the coding region
388
+
389
+ 98
390
+ 00:07:38,450 --> 00:07:41,230
391
+ ุงู„ู†ูƒู„ูŠูˆุชุงูŠุฏ ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ู†ูƒู„ูŠูˆุชุงูŠุฏ ุณูŠูƒูˆุงู†ุณูŠุฒ at
392
+
393
+ 99
394
+ 00:07:41,230 --> 00:07:46,730
395
+ the five prime end of the gene ูˆ ู‡ุฐู‡ ุงู„ ู†ูƒู„ูŠูˆุชุงูŠุฏ
396
+
397
+ 100
398
+ 00:07:46,730 --> 00:07:50,190
399
+ ุณูŠูƒูˆุงู†ุณูŠุฒ involved in regulating the expression of
400
+
401
+ 101
402
+ 00:07:50,190 --> 00:07:54,050
403
+ the gene ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ promoter region ุงู„ู„ูŠ ุจุชู„ุนุจ
404
+
405
+ 102
406
+ 00:07:54,050 --> 00:08:00,550
407
+ ุฏูˆุฑ ููŠ ุงู„ expression ู„ ุงู„ุฌูŠู†ู‡ุฐู‡ ุงู„ู€ 5' ู†ูŠูƒุฑูˆุชูŠุชุณ
408
+
409
+ 103
410
+ 00:08:00,550 --> 00:08:06,310
411
+ ุชุชุนุงู…ู„ ู…ุน ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชุคุซุฑ ุนู„ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ RNA
412
+
413
+ 104
414
+ 00:08:06,310 --> 00:08:15,430
415
+ polymerase ู„ุฅู†ุฌุงุฒ ุฌูŠู† ู…ุนูŠู† ู„ุงุฒู… ูŠูƒูˆู† ู‡ู†ุง ุนู…ู„ูŠุฉ
416
+
417
+ 105
418
+ 00:08:15,430 --> 00:08:20,050
419
+ ุงู„ุชุฑุงู†ุณูƒุฑูŠุจุดู† ูˆุนู…ู„ูŠุฉ ุงู„ุชุฑุงู†ุณูƒุฑูŠุจุดู† ู‡ุฐู‡ ุชุญุชุงุฌ ุฅู„ู‰
420
+
421
+ 106
422
+ 00:08:20,050 --> 00:08:26,490
423
+ ุงุฑุชุจุงุท ุงู„ู€ RNA polymeraseุนู†ุฏ ุงู„ู€ gene ุฃูˆ ู‚ุจู„ ุงู„ู€
424
+
425
+ 107
426
+ 00:08:26,490 --> 00:08:31,590
427
+ gene ุงู„ู„ูŠ ุงุญู†ุง ุงู„ู„ูŠ ุจุฏูŠูˆุตู„ ู„ู‡ expression ูˆุฅู†ุชุงุฌ
428
+
429
+ 108
430
+ 00:08:31,590 --> 00:08:37,710
431
+ ู„ู†ุณุฎุฉ ู…ู† ุงู„ messenger RNA ูŠุจู‚ู‰ ุงู„ ุงู„ ุงู„ promoter
432
+
433
+ 109
434
+ 00:08:37,710 --> 00:08:42,510
435
+ region ู‡ุฐู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠุฌูŠุจ ูŠุฑุชุจุท ู…ุนุงู‡ุง ุจุฑูˆุชูŠู†ุงุช
436
+
437
+ 110
438
+ 00:08:43,730 --> 00:08:48,010
439
+ ูˆุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ุจุชุณู‡ู„ ุจุนุฏ ู‡ูŠูƒ ุงุฑุชุจุงุท ุงู„ RNA
440
+
441
+ 111
442
+ 00:08:48,010 --> 00:08:52,390
443
+ polymerase ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„
444
+
445
+ 112
446
+ 00:08:52,390 --> 00:08:57,270
447
+ transcription ูˆ ุชุตู†ูŠุน
448
+
449
+ 113
450
+ 00:08:57,270 --> 00:09:03,150
451
+ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุฎุฉ ู…ู† ุงู„ messenger RNA ุฌุฒุก ู…ู† ุงู„
452
+
453
+ 114
454
+ 00:09:03,150 --> 00:09:07,850
455
+ promoter regions ููŠ ุนู†ุฏู†ุง ุงู„ data box ุงู„ู„ูŠ ุจุชูƒูˆู†
456
+
457
+ 115
458
+ 00:09:07,850 --> 00:09:12,300
459
+ ู…ูˆุฌูˆุฏุฉ near the start site of transcriptionูˆุงู„ู€
460
+
461
+ 116
462
+ 00:09:12,300 --> 00:09:14,360
463
+ data box ุชุนุชุจุฑ one of the most important
464
+
465
+ 117
466
+ 00:09:14,360 --> 00:09:20,320
467
+ regulatory elements for most genes ูŠุจู‚ู‰ ุฒูŠ ู…ุง ู‚ู„ู†ุง
468
+
469
+ 118
470
+ 00:09:20,320 --> 00:09:22,760
471
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ two parts ู„ุฌูŠู† ุนู†ุฏู†ุง ุงู„
472
+
473
+ 119
474
+ 00:09:22,760 --> 00:09:26,680
475
+ promoter region ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
476
+
477
+ 120
478
+ 00:09:26,680 --> 00:09:32,140
479
+ ุงู„ู…ุณุคูˆู„ุฉ ุทุจุนุง ุนู† ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช ู…ุฎุชู„ูุฉ ูˆุทุจุนุง
480
+
481
+ 121
482
+ 00:09:32,140 --> 00:09:36,020
483
+ ุจุงู„ู†ู‡ุงูŠุฉ ุงุฑุชุจุงุท ุงู„ุฃุฑุงู†ูŠ polymerase ุนุดุงู† ุจุนุฏูƒ ูŠุตูŠุฑ
484
+
485
+ 122
486
+ 00:09:36,020 --> 00:09:41,200
487
+ ููŠ ุนู†ุฏู†ุง ูุนู„ูŠุง ุงู„ transcriptionู„ุงู„ูˆ ุงู„ coding
488
+
489
+ 123
490
+ 00:09:41,200 --> 00:09:44,480
491
+ sequences ูˆ ูŠู†ุชุฌ ุนู†ุฏู†ุง messenger learning ูˆ ุจุนุฏ
492
+
493
+ 124
494
+ 00:09:44,480 --> 00:09:51,220
495
+ ู‡ูŠูƒ ุชู… ุชุฑุฌู…ุชู‡ ุฅู„ู‰ protein ูˆ
496
+
497
+ 125
498
+ 00:09:51,220 --> 00:09:56,180
499
+ ู…ุฑุฉ ุฃุฎุฑู‰ ูˆ ุตูˆุฑุฉ ุฃูˆุถุญ ุดูˆูŠุฉ ุทุจุนุง ุฃูƒูŠุฏ ู‡ุชุงุฎุฏูˆุง ู…ูˆุถูˆุน
500
+
501
+ 126
502
+ 00:09:56,180 --> 00:10:00,360
503
+ ู„ู„ .. ู„ู„ .. ู„ู„ transcription ูˆ ุงู„ translation ุฃูƒูŠุฏ
504
+
505
+ 127
506
+ 00:10:00,360 --> 00:10:04,320
507
+ ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„ ูŠุนู†ูŠ ู‡ู† .. ุงุญู†ุง ุจู†ุญูƒูŠ
508
+
509
+ 128
510
+ 00:10:04,320 --> 00:10:11,370
511
+ ุจุงุฎุชุตุงุฑ ุนู†ุฏู†ุง ุงู„ promoterregion ุฒูŠ ู…ุง ุญูƒูŠู†ุง ูˆุนู†ุง
512
+
513
+ 129
514
+ 00:10:11,370 --> 00:10:18,150
515
+ ุจุนุฏ ู‡ูŠูƒ ุทุจุนุง ุงู„ RNA coding region ูˆูŠู‚ูˆู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ
516
+
517
+ 130
518
+ 00:10:18,150 --> 00:10:21,210
519
+ ุงู„ promoter ูˆูŠู† ุจูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ูˆู‚ูˆู„ู†ุง ุงู„ู„ูŠ
520
+
521
+ 131
522
+ 00:10:21,210 --> 00:10:25,230
523
+ ู‡ูˆ ุงู„ data box ุฏู‡ ุฌุฒุก ู…ู…ูƒู† ู…ู‡ู… ู…ู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„
524
+
525
+ 132
526
+ 00:10:25,230 --> 00:10:30,410
527
+ promoters ู…ู…ูƒู† ูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุชุนู„ู‰ ุงู„ู€
528
+
529
+ 133
530
+ 00:10:30,410 --> 00:10:34,070
531
+ Promoter Region ูˆู‡ุฐุง ูŠุนู…ู„ Recruiting ู„ุจุฑูˆุชูŠู†ุงุช
532
+
533
+ 134
534
+ 00:10:34,070 --> 00:10:37,770
535
+ ุฃุฎุฑู‰ ุงู„ู„ูŠ ู‡ูˆ ูŠุณุชุฏุนูŠ ุฃูˆ ูŠุคุฏูŠ ุฅู„ู‰ ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช
536
+
537
+ 135
538
+ 00:10:37,770 --> 00:10:42,010
539
+ ุฃุฎุฑู‰ ุนู„ู‰ ุงู„ู€ Promoter Region ูˆู‡ุฐุง ูƒู„ู‡ ุจุงู„ู†ู‡ุงูŠุฉ
540
+
541
+ 136
542
+ 00:10:42,010 --> 00:10:46,310
543
+ ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท ุงู„ู€ RNA Polymerase ุนุดุงู† ุชุตุจุญ ูุนู„ูŠู‹ุง
544
+
545
+ 137
546
+ 00:10:46,310 --> 00:10:50,610
547
+ ุนู…ู„ูŠุฉ ุงู„ู€ Transcription ูˆุฅู†ุชุงุฌ ู„ู†ุณุฎุฉ ู…ู† ุงู„ู€
548
+
549
+ 138
550
+ 00:10:50,610 --> 00:10:55,430
551
+ Messenger RNA ุงู„ุขู†
552
+
553
+ 139
554
+ 00:10:55,430 --> 00:11:01,920
555
+ ุฃู†ุง ุถู…ู† ุงู„ู€ Promoterregion short sequence of DNA
556
+
557
+ 140
558
+ 00:11:01,920 --> 00:11:04,660
559
+ within the promoter that is recognized by a
560
+
561
+ 141
562
+ 00:11:04,660 --> 00:11:09,180
563
+ specific protein and contributes to the regulation
564
+
565
+ 142
566
+ 00:11:09,180 --> 00:11:14,260
567
+ of the gene ูˆู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุชุณู…ู‰ response element ุฃูˆ
568
+
569
+ 143
570
+ 00:11:14,260 --> 00:11:21,120
571
+ RE ู‡ูŠ ุฌุฒุก ู…ู† ุงู„ promoter ูˆู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ promoter
572
+
573
+ 144
574
+ 00:11:21,120 --> 00:11:26,380
575
+ ุงู„ู„ูŠ ูŠุณู…ู‰ response element ูˆูŠุฑุชุจุท ู…ุน specific
576
+
577
+ 145
578
+ 00:11:26,380 --> 00:11:32,270
579
+ proteinุฃู‡ ุงู„ู„ูŠ ู‡ูˆ transcription factors ูˆุฒูŠ ู…ุง
580
+
581
+ 146
582
+ 00:11:32,270 --> 00:11:34,190
583
+ ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู„ transcription factors ูˆ ุงู„
584
+
585
+ 147
586
+ 00:11:34,190 --> 00:11:37,550
587
+ activation ู„ ุงู„ transcription factors ูˆ ุฏูˆุฑู‡ุง ููŠ
588
+
589
+ 148
590
+ 00:11:37,550 --> 00:11:41,730
591
+ ุงู„ expression ู„ ุงู„ genes ุงู„ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰
592
+
593
+ 149
594
+ 00:11:41,730 --> 00:11:45,950
595
+ transcription factors ุจุชุฑุชุจุท ู…ุนุงู„ู€ Response
596
+
597
+ 150
598
+ 00:11:45,950 --> 00:11:51,150
599
+ Element ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠุณุชุฏุนูŠ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
600
+
601
+ 151
602
+ 00:11:51,150 --> 00:11:55,650
603
+ ุจุชุฑุชุจุท ุนู„ู‰ ุงู„ู€ Promoter Region ูˆุจุงู„ู†ู‡ุงูŠุฉ ุทุจุนุง
604
+
605
+ 152
606
+ 00:11:55,650 --> 00:12:00,250
607
+ ุงุณุชุฏุนุงุก ู„ู„ู€ RNA Polymerase ูˆ Transcription ู„ู‡ุฐุง
608
+
609
+ 153
610
+ 00:12:00,250 --> 00:12:05,630
611
+ ุงู„ุฌูŠู† ุทุจุนุง ุฃู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Response Element ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:12:05,630 --> 00:12:12,850
615
+ ู…ูˆุฌูˆุฏุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุงููŠ ุงู„ู€ promoter region ุฃูˆ ููŠ ุงู„ู€
616
+
617
+ 155
618
+ 00:12:12,850 --> 00:12:19,100
619
+ enhancer regionูˆ ู‡ุฐู‡ ุงู„ response elements ุจูŠุฑุชุจุท
620
+
621
+ 156
622
+ 00:12:19,100 --> 00:12:22,520
623
+ ู…ุนู‡ุง ุงู„ุจุฑูˆุชูŠู†ุงุช ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท
624
+
625
+ 157
626
+ 00:12:22,520 --> 00:12:26,500
627
+ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ูˆ ุจุงู„ู†ู‡ุงูŠุฉ ุงู„ RNA polymerase ูˆ ุทุจุนุง
628
+
629
+ 158
630
+ 00:12:26,500 --> 00:12:30,400
631
+ ุนู†ุฏู†ุง ุฃู…ุซู„ุฉ ุนุฏูŠุฏุฉ ุนู„ู‰ ุงู„ response elements ูŠุนู†ูŠ ููŠ
632
+
633
+ 159
634
+ 00:12:30,400 --> 00:12:32,840
635
+ ุนู†ุฏู†ุง ุงู„ thyroid hormone response element ุน ุณุจูŠู„
636
+
637
+ 160
638
+ 00:12:32,840 --> 00:12:35,760
639
+ ุงู„ู…ุซุงู„ ููŠ ุนู†ุฏู†ุง ุงู„ vitamin D response elements
640
+
641
+ 161
642
+ 00:12:35,760 --> 00:12:40,800
643
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุชุฑุชุจุท ู…ุน ุทุจุนุง ุงู„ receptors ุงู„ุฎุงุตุฉ
644
+
645
+ 162
646
+ 00:12:40,800 --> 00:12:44,360
647
+ ุจุงู„ู‡ุฑู…ูˆู†ุงุช ุฒูŠ ุงู„ thyroid ุฃูˆ ุฒูŠ ุงู„ vitamin Dุนู†ุฏ
648
+
649
+ 163
650
+ 00:12:44,360 --> 00:12:47,940
651
+ ุงุฑุชุจุงุท ุงู„ู‡ุฑู…ูˆู† ู…ุน ู‡ุฐุง ุงู„ู€ Receptor ุงู„ู€ Receptor
652
+
653
+ 164
654
+ 00:12:47,940 --> 00:12:51,080
655
+ ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู† ุจูŠุฌูŠ ูˆ ุจูŠุฑุชุจุท ู…ุน ุงู„ู€
656
+
657
+ 165
658
+ 00:12:51,080 --> 00:12:55,380
659
+ response element ูˆุจูŠุนู…ู„ ุนู„ู‰ expression ู„ู€ genes
660
+
661
+ 166
662
+ 00:12:55,380 --> 00:13:00,420
663
+ ู…ุนูŠู†ุฉ ุฃูŠุถุง ููŠู†ุง ุงู„ response element for a protein
664
+
665
+ 167
666
+ 00:13:00,420 --> 00:13:03,300
667
+ that is essential for the regulation of the cell
668
+
669
+ 168
670
+ 00:13:03,300 --> 00:13:09,430
671
+ cycleุงู„ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู€ transcription factor E to F
672
+
673
+ 169
674
+ 00:13:09,430 --> 00:13:14,170
675
+ ูŠุจู‚ู‰ ุงู„ู€ E to F transcription factor ูˆุจูŠุฑุชุจุท ุนู„ู‰
676
+
677
+ 170
678
+ 00:13:14,170 --> 00:13:21,370
679
+ response element ูˆ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุนู‡ุง ุทุจุนุง
680
+
681
+ 171
682
+ 00:13:21,370 --> 00:13:26,870
683
+ ููŠ ู…ู†ุทู‚ุฉ ุงู„ promoter ุงู„ู€ E to F ุงู„ู„ูŠ ู„ุนู„ุงู‚ุฉ ุจูŠู‡ ุฃูˆ
684
+
685
+ 172
686
+ 00:13:26,870 --> 00:13:30,330
687
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Cycline E ูˆ ุงู„ู€ Cycline A
688
+
689
+ 173
690
+ 00:13:30,330 --> 00:13:37,860
691
+ genes ูˆ ุทุจุนุง ุงู„ ..ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† products which are
692
+
693
+ 174
694
+ 00:13:37,860 --> 00:13:42,660
695
+ major players in the cell cycle ูŠุจู‚ู‰ ุงู„ promoters
696
+
697
+ 175
698
+ 00:13:42,660 --> 00:13:48,580
699
+ ุงู„ู„ูŠ ู‡ุงู„cycline E ูˆ ุงู„cycline A genesู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง
700
+
701
+ 176
702
+ 00:13:48,580 --> 00:13:52,380
703
+ ุงู„ู„ูŠ ู‡ูˆ response element ุจูŠุฌูŠ ุจูŠุฑุทุจุท ุนู„ูŠู‡ ุงู„ E2F
704
+
705
+ 177
706
+ 00:13:52,380 --> 00:13:56,720
707
+ ุจุฑูˆุชูŠู† ูˆ ู‡ุฏูˆู„ ุทุจุนุง ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง expression ู„ู‡ุฐู‡
708
+
709
+ 178
710
+ 00:13:56,720 --> 00:14:00,840
711
+ ุงู„ genes ุงู„ู„ูŠ Cycline A ูˆ Cycline E ูˆ ุทุจุนุง ู‡ุฏูˆู„ ุงู„
712
+
713
+ 179
714
+ 00:14:00,840 --> 00:14:06,100
715
+ proteins ุงู„ู†ุงุชุฌูŠู† ุนู† ู‡ุฏูˆู„ ุงู„ genes ุจูŠู„ุนุจูˆุง ุฏูˆุฑ
716
+
717
+ 180
718
+ 00:14:06,100 --> 00:14:09,520
719
+ ุฃุณุงุณูŠ ููŠ ุงู„ cell cycle ูˆ ููŠ ุงู„ proliferation
720
+
721
+ 181
722
+ 00:14:09,520 --> 00:14:15,840
723
+ ู„ู„ุฎู„ุงูŠุงูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ุตูˆุฑุฉ ู‡ุฐู‡ ู‚ู„ู†ุง ุฅู†ู‡ ููŠ
724
+
725
+ 182
726
+ 00:14:15,840 --> 00:14:19,400
727
+ ุนู†ุฏู†ุง handle ูˆ promoter region ูˆููŠ ุญุงู„ ุงู„ cell
728
+
729
+ 183
730
+ 00:14:19,400 --> 00:14:23,340
731
+ cycle ููŠ ุนู†ุฏู†ุง response element ุงู„ู„ูŠ ุจูŠุฑุชุจุท ุนู„ูŠู‡
732
+
733
+ 184
734
+ 00:14:23,340 --> 00:14:30,540
735
+ ุงู„ E2F transcription factor ุงู„ E2F ุจุฑูˆุชูŠู† ูˆุงุฑุชุจุงุท
736
+
737
+ 185
738
+ 00:14:30,540 --> 00:14:35,240
739
+ ุงู„ E2F ุจุฑูˆุชูŠู† ู‡ุฐุง ุจูŠู„ุนุจ ุฏูˆุฑ ุทุจุนุง ููŠ ุงู„ expression
740
+
741
+ 186
742
+ 00:14:35,240 --> 00:14:41,570
743
+ ู„ู€ genesูˆ ุงู„ genes ู‡ุฐู‡ ุงู„ู‡ุง ุนู„ุงู‚ุฉ ููŠ ุทุจุนุง ู†ู‚ู„
744
+
745
+ 187
746
+ 00:14:41,570 --> 00:14:46,630
747
+ ุงู„ุฎู„ูŠุฉ ู…ู† ุงู„ .. ุจุงู„ cell cycle ู…ู† ุทุจุนุง ู…ุฑุญู„ุฉ ุฅู„ู‰
748
+
749
+ 188
750
+ 00:14:46,630 --> 00:14:50,650
751
+ ู…ุฑุญู„ุฉ ุฃุฎุฑู‰ ุทูŠุจ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ mutations most
752
+
753
+ 189
754
+ 00:14:50,650 --> 00:14:56,130
755
+ carcinogens are mutagensูˆู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
756
+
757
+ 190
758
+ 00:14:56,130 --> 00:14:59,530
759
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ู‚ูˆู„ู†ุง ู…ุด all carcinogens are
760
+
761
+ 191
762
+ 00:14:59,530 --> 00:15:04,150
763
+ mutagens ู„ุฃู† ุจุนุถ ุงู„ู€ carcinogens ู‚ูˆู„ู†ุง ุจุชุดุชุบู„ ุนู†
764
+
765
+ 192
766
+ 00:15:04,150 --> 00:15:07,570
767
+ ุทุฑูŠู‚ ุงู„ู€ epigenetics ูˆ silencing ู„ุฌูŠู† ุฒูŠ
768
+
769
+ 193
770
+ 00:15:07,570 --> 00:15:13,310
771
+ ุงู„ุชูŠูˆุจุฑุณุงุจุฑูŠุณุงุฌูŠู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ these agents
772
+
773
+ 194
774
+ 00:15:13,310 --> 00:15:20,300
775
+ induce mutations either bymodifying DNA ุจู‡ุฐู‡ ุงู„
776
+
777
+ 195
778
+ 00:15:20,300 --> 00:15:24,420
779
+ chemicals ุงู„ู„ูŠ ูŠุชุนุชุจุฑ carcinogens ู…ู…ูƒู† ุชุนู…ู„
780
+
781
+ 196
782
+ 00:15:24,420 --> 00:15:29,560
783
+ modification ู„ ุงู„ DNA ู…ู…ูƒู† ุชูŠุฌูŠ ูˆ ุชุฑุชุจุท ู…ุน ุงู„
784
+
785
+ 197
786
+ 00:15:29,560 --> 00:15:36,490
787
+ nucleotides ุนู„ู‰ ุงู„ DNA ูˆ ุชุนู…ู„ ู…ุง ูŠุณู…ู‰ ุจุงู„ DNAุฃุฏูƒุช
788
+
789
+ 198
790
+ 00:15:36,490 --> 00:15:41,470
791
+ ูˆ ุงู„ DNA adduct ู‡ูˆ ุนุจุงุฑุฉ ุนู† covalent modification
792
+
793
+ 199
794
+ 00:15:41,470 --> 00:15:45,510
795
+ ุจูŠู† ุงู„ DNA ูˆุจูŠู† ุงู„ carcinogen ุฃูˆ ุงู„ chemical ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:15:45,510 --> 00:15:49,330
799
+ ู‡ูˆ ุจูŠุนุชุจุฑ carcinogen ูˆุนู†ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„
800
+
801
+ 201
802
+ 00:15:49,330 --> 00:15:55,030
803
+ acetaldehyde ู…ู…ูƒู† ูŠูŠุฌูŠ ูŠุฑุชุจุท ู…ุน ู„ูŠุฌูˆุงู†ูŠ ูˆูŠุนู…ู„ ู„ูŠ
804
+
805
+ 202
806
+ 00:15:55,030 --> 00:15:59,770
807
+ single strand break ุฃูˆ point a mutation ุนู†ุฏ ู†ู‚ุทุฉ
808
+
809
+ 203
810
+ 00:15:59,770 --> 00:16:03,700
811
+ ุงู„ุฅุฑุชุจุงุทุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ุดูƒู„ุฉ ุฃู† ู‡ุฐุง ุงู„
812
+
813
+ 204
814
+ 00:16:03,700 --> 00:16:07,920
815
+ chemical ุฃูˆ ุงู„ carcinogen ุจูŠุฑุชุจุท ู…ุน ุงู„ DNA ุจูŠุนู…ู„
816
+
817
+ 205
818
+ 00:16:07,920 --> 00:16:12,520
819
+ ู…ุง ูŠุณู…ู‰ ุจุงู„ DNA adduct ูˆู‡ุฐุง ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ single
820
+
821
+ 206
822
+ 00:16:12,520 --> 00:16:19,280
823
+ strand break ุฃูˆ ูŠู†ุชุฌ ุนู†ู‡ point mutation ูŠุจู‚ู‰
824
+
825
+ 207
826
+ 00:16:19,280 --> 00:16:23,840
827
+ causing chromosomal damage ุงู„ู„ูŠ ู‡ูˆ ุงู„ DNA strand
828
+
829
+ 208
830
+ 00:16:23,840 --> 00:16:31,010
831
+ breaksTypes of mutations include ุนู†ุฏู†ุง transitions
832
+
833
+ 209
834
+ 00:16:31,010 --> 00:16:37,710
835
+ Transversions ู„ุชุฑุงู†ุฒูŠุดู† ุทุจุนุง ุงู„ู„ูŠ ุจูŠุญุตู„ ููŠ ุนู†ุฏู†ุง
836
+
837
+ 210
838
+ 00:16:37,710 --> 00:16:45,830
839
+ Substitution ู„ู€ Nucleotide ุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ูƒุงู† ุฃุฎุฑู‰ ูˆ
840
+
841
+ 211
842
+ 00:16:45,830 --> 00:16:51,790
843
+ ู‡ุงู† ุจูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง Purine ุจุชุญู„ ู…ุญู„ Purine ุนู„ู‰ ุณุจูŠู„
844
+
845
+ 212
846
+ 00:16:51,790 --> 00:16:52,230
847
+ ุงู„ู…ุซุงู„
848
+
849
+ 213
850
+ 00:16:56,940 --> 00:17:02,680
851
+ ุฃูˆ ู…ู…ูƒู† Pyrimidin ู…ูƒุงู† Pyrimidin ุจูŠู†ู…ุง ุงู„
852
+
853
+ 214
854
+ 00:17:02,680 --> 00:17:07,840
855
+ Transvergence ุฃู†ู‡ุง substitution of a purine for a
856
+
857
+ 215
858
+ 00:17:07,840 --> 00:17:12,160
859
+ pyrimidin or vice versa ูŠุจู‚ู‰ Purine ู…ุญู„ Pyrimidin
860
+
861
+ 216
862
+ 00:17:12,160 --> 00:17:16,540
863
+ ุฃูˆ Pyrimidin ู…ุญู„ Purine ุฃู†ู‡ ุฃูŠุถุง ู…ู† ุฃู†ูˆุงุน
864
+
865
+ 217
866
+ 00:17:16,540 --> 00:17:20,840
867
+ ุงู„ู…ูŠูˆุชุงุดู†ุฒ ุงู„ insertions, deletions ูˆ chromosomal
868
+
869
+ 218
870
+ 00:17:20,840 --> 00:17:22,220
871
+ translocations
872
+
873
+ 219
874
+ 00:17:23,920 --> 00:17:29,380
875
+ ู‡ุฐุง ุงู„ figure ุจูŠูˆุถุญ ุงู„ DNA Adduct ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุตูŠุฑ
876
+
877
+ 220
878
+ 00:17:29,380 --> 00:17:32,360
879
+ ุทุจุนุง ุจูŠู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ chemical ุฃูˆ
880
+
881
+ 221
882
+ 00:17:32,360 --> 00:17:37,420
883
+ carcinogen ู…ุน ุงู„ DNA ูˆู‡ูŠ ุงู† ุงู† ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงู„ ุขุฎุฑ
884
+
885
+ 222
886
+ 00:17:37,420 --> 00:17:43,100
887
+ ุนู„ู‰ carcinogenุงู„ูˆ ุงู„ PAH Polycyclic Aromatic
888
+
889
+ 223
890
+ 00:17:43,100 --> 00:17:49,760
891
+ Hydrocarbons ุงู„ PAH ู…ู…ูƒู† ูŠุฑุชุจุท ู…ุน ุงู„ DNA ูˆ ูŠุนู…ู„
892
+
893
+ 224
894
+ 00:17:49,760 --> 00:17:54,900
895
+ ุจุฑุถู‡ DNA Adduct ูˆ ู‡ุฐุง ุทุจุนุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุญุฏุซ
896
+
897
+ 225
898
+ 00:17:54,900 --> 00:17:58,460
899
+ Single Strand Breaks ุงูˆ ู…ู…ูƒู† Double Strand Breaks
900
+
901
+ 226
902
+ 00:17:58,460 --> 00:18:02,200
903
+ ูˆ ู…ู…ูƒู† ูŠุญุฏุซ ุชุบูŠุฑุงุช ู…ุฎุชู„ูุฉ
904
+
905
+ 227
906
+ 00:18:06,470 --> 00:18:11,290
907
+ ู‡ุงู† ุจูŠูˆุถุญ ุงู„ types of mutations ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
908
+
909
+ 228
910
+ 00:18:11,290 --> 00:18:16,570
911
+ ุฅุฐุง ูƒุงู† ุงู„ sequence ู‡ุฐุง ู‡ูˆ ุงู„ original ูŠุจู‚ู‰ ุฒูŠ ู…ุง
912
+
913
+ 229
914
+ 00:18:16,570 --> 00:18:23,690
915
+ ู‚ู„ู†ุง ุงู„ transition ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ A ู…ุน G ุฃู‡
916
+
917
+ 230
918
+ 00:18:23,690 --> 00:18:27,090
919
+ Purine ุชู… ุงุณุชุจุฏุงู„ Purine ู…ุน Purine ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
920
+
921
+ 231
922
+ 00:18:27,090 --> 00:18:30,330
923
+ ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ Pyrimidine ู…ุน Pyrimidine ูŠุจู‚ู‰
924
+
925
+ 232
926
+ 00:18:30,330 --> 00:18:34,850
927
+ Purine ู…ุน Purine ุณูˆุงุก A to G ุฃูˆ G ู…ู…ูƒู† to A ู‡ุฐู‡
928
+
929
+ 233
930
+ 00:18:34,850 --> 00:18:41,040
931
+ ุชุณู…ู‰ Transitionูˆ ุฃูŠุถุง ุจุงู„ู†ุณุจุฉ ู„ู„ Pyrimidines C ู…ุน
932
+
933
+ 234
934
+ 00:18:41,040 --> 00:18:44,340
935
+ T ุณูŠุชูˆุฒูŠู† ู…ุน ุซุงูŠู…ูŠู† ุฃูˆ ุซุงูŠู…ูŠู† ู…ุน ุณูŠุชูˆุฒูŠู† ุจุฑุถู‡ ู‡ุฐู‡
936
+
937
+ 235
938
+ 00:18:44,340 --> 00:18:48,500
939
+ ุชุนุชุจุฑ transitions ูˆ ุงู„ Transversion ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง
940
+
941
+ 236
942
+ 00:18:48,500 --> 00:18:52,840
943
+ ูƒุงู† ุตุงุฑ ููŠ ุงุณุชุจุฏุงู„ ู„ Purine ู…ุน Pyrimidine ูŠุนู†ูŠ A
944
+
945
+ 237
946
+ 00:18:52,840 --> 00:18:59,580
947
+ ู…ุน C ุฃูˆ C ู…ุน A ุฃูˆ G ู…ุน T ุฃูˆ T ู…ุน G ุจู‡ุฐู‡ ุงู„
948
+
949
+ 238
950
+ 00:18:59,580 --> 00:19:03,920
951
+ Transversion ู„ุฃู†ู‡ ุจูŠุชู… ุงู„ุชุจุฏูŠู„ Pyrimidine ู…ุน
952
+
953
+ 239
954
+ 00:19:03,920 --> 00:19:08,980
955
+ Purine ุฃูˆ Purine ู…ุน PyrimidineIncession ุงู„ู„ู‰ ุจูŠุญุตู„
956
+
957
+ 240
958
+ 00:19:08,980 --> 00:19:14,860
959
+ ุนู†ุฏู†ุง ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุง ูˆDeletion ุงู„ู„ู‰ ุจูŠุญุตู„ ุนู†ุฏู†ุง
960
+
961
+ 241
962
+ 00:19:14,860 --> 00:19:19,620
963
+ ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุง ูˆู‡ุฐุง ูŠุคุฏูŠ ุจุงู„ุญุงู„ุชูŠู†
964
+
965
+ 242
966
+ 00:19:21,200 --> 00:19:24,640
967
+ ููŠ ุงู„ู€ deletion ูŠุคุฏูŠ ุฅู„ู‰ a frame shift mutation
968
+
969
+ 243
970
+ 00:19:24,640 --> 00:19:30,100
971
+ ูˆุญูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠูŠุฑ ุจุงู„ ุงู„ amino acids ูˆูŠู† ุตุงุฑ
972
+
973
+ 244
974
+ 00:19:30,100 --> 00:19:34,040
975
+ ููŠ ุนู†ุฏู†ุง ุงู„ insertion ุฃูˆ ููŠ ุงูˆ ูˆูŠู† ุตุงุฑ ุงู„ deletion
976
+
977
+ 245
978
+ 00:19:34,040 --> 00:19:39,040
979
+ ุงูŠ ุนู†ุฏู†ุง ุงูŠุถุง ุงู„ู…ุดูƒู„ุฉ ุงู„ chromosomal translocation
980
+
981
+ 246
982
+ 00:19:39,040 --> 00:19:41,380
983
+ ุงู„ู„ูŠ was the exchange of one part of one
984
+
985
+ 247
986
+ 00:19:41,380 --> 00:19:44,300
987
+ chromosome for another part of a different
988
+
989
+ 248
990
+ 00:19:44,300 --> 00:19:47,400
991
+ chromosome and results in changes of the base
992
+
993
+ 249
994
+ 00:19:47,400 --> 00:19:51,860
995
+ sequence of DNAูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ู‡ุงู† ุงู†ู‡ ุจูŠุตูŠุฑ
996
+
997
+ 250
998
+ 00:19:51,860 --> 00:19:57,600
999
+ ููŠู‡ู†ุง ุงุณุชุจุฏุงู„ ู„ู‚ุทุน ู…ู† ุงู„ูƒุฑู…ุฒูˆู… ู…ุน ู‚ุทุนุฉ ุฃุฎุฑู‰ ูŠุนู†ูŠ
1000
+
1001
+ 251
1002
+ 00:19:57,600 --> 00:20:01,440
1003
+ ู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุงู„ู…ูุฑูˆุถ ุจุชุนูˆุฏ ู„ู„ูƒุฑู…ุฒูˆู… ู‡ุฐุง ุงู„ู„ูŠ ุจุงู„ู„ูˆู†
1004
+
1005
+ 252
1006
+ 00:20:01,440 --> 00:20:06,000
1007
+ ุงู„ุฃุญู…ุฑ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑู…ุฒูˆู… ูˆู‡ุฐุง
1008
+
1009
+ 253
1010
+ 00:20:06,000 --> 00:20:11,240
1011
+ ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑู…ุฒูˆู…ููŠ ุญุงู„ ุงู„ูƒุฑู…ูˆุฒูˆู… ุจูŠุตูŠุฑ
1012
+
1013
+ 254
1014
+ 00:20:11,240 --> 00:20:15,880
1015
+ ููŠ ุนู†ุฏู†ุง ุงู†ุชู‚ุงู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจู‡ุฐู‡
1016
+
1017
+ 255
1018
+ 00:20:15,880 --> 00:20:19,200
1019
+ ุงู„ุญุงู„ุฉ ุงู†ู‡ ุตุงุฑ ู†ู‚ู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ
1020
+
1021
+ 256
1022
+ 00:20:19,200 --> 00:20:23,020
1023
+ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ู„ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ูˆ
1024
+
1025
+ 257
1026
+ 00:20:23,020 --> 00:20:26,200
1027
+ ุงู„ู‚ุทุนุฉ ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ุตุงุฑ ู„ู‡ุง
1028
+
1029
+ 258
1030
+ 00:20:26,200 --> 00:20:32,520
1031
+ ู†ู‚ู„ ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ูˆ ุทุจุนุง ุงู„ู…ุซุงู„
1032
+
1033
+ 259
1034
+ 00:20:32,520 --> 00:20:36,260
1035
+ ุงู„ุฃุดู‡ุฑ ู„ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ translocation ููŠ ุนู†ุฏู†ุง ุงู„
1036
+
1037
+ 260
1038
+ 00:20:36,260 --> 00:20:39,350
1039
+ Philadelphiaุงู„ู€ chromosome ูˆ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง
1040
+
1041
+ 261
1042
+ 00:20:39,350 --> 00:20:44,430
1043
+ ุทุจุนุง involvement ู„ู€ chromosomes 9 ูˆ 22 ุทุจุนุง ุฒูŠ ู…ุง
1044
+
1045
+ 262
1046
+ 00:20:44,430 --> 00:20:49,690
1047
+ ุญูƒูŠู†ุง ุณุงุจู‚ุง ุงู†ู‡ ุนุดุงู† ุงู„ mutations ุชุคุฏูŠ ุงู„ู‰ cancer
1048
+
1049
+ 263
1050
+ 00:20:49,690 --> 00:20:54,450
1051
+ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุจุฏูˆุง ูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ุฌูŠู†ุงุช
1052
+
1053
+ 264
1054
+ 00:20:54,450 --> 00:20:58,630
1055
+ ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ ุงู„ processes ุงู„ู„ูŠ ุจุชุญุฏุฏ ุงู„ cell
1056
+
1057
+ 265
1058
+ 00:20:58,630 --> 00:21:03,340
1059
+ number ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญูƒูŠ ุนู„ู‰genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจู€
1060
+
1061
+ 266
1062
+ 00:21:03,340 --> 00:21:07,040
1063
+ mutations ููŠ genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ regulation
1064
+
1065
+ 267
1066
+ 00:21:07,040 --> 00:21:12,460
1067
+ ู„ู€ growth ู„ู€ differentiation ูˆ ุฃูŠุถุง ู„ู€ apoptosis ูˆ
1068
+
1069
+ 268
1070
+ 00:21:12,460 --> 00:21:15,200
1071
+ for most cancers different types of mutations
1072
+
1073
+ 269
1074
+ 00:21:15,200 --> 00:21:19,500
1075
+ accumulate over time within an individual cell and
1076
+
1077
+ 270
1078
+ 00:21:19,500 --> 00:21:23,060
1079
+ cause the cell to be transformed into a cancer
1080
+
1081
+ 271
1082
+ 00:21:23,060 --> 00:21:26,840
1083
+ cell ุชู…ุงู… ูˆ ุฒูŠ ู…ุง ุญูƒูŠ ุฃู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
1084
+
1085
+ 272
1086
+ 00:21:26,840 --> 00:21:32,070
1087
+ ู‚ูˆู„ู†ุง ุงู† ุงู„ accumulation of mutationsุณุจุจ ู„ุญุฏูˆุซ ุงู„ู€
1088
+
1089
+ 273
1090
+ 00:21:32,070 --> 00:21:35,690
1091
+ Cancer ูˆู‚ูˆู„ู†ุง ุฅู†ู‡ ู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ูŠุนู†ูŠ ุนู„ู‰ ุงู…ุชุฏุงุฏ
1092
+
1093
+ 274
1094
+ 00:21:35,690 --> 00:21:40,170
1095
+ ุณู†ูˆุงุช ุนุฏูŠุฏุฉ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุงู„ุณุจุจ ุฅู†ู‡ ูƒุจุงุฑ ุงู„ุณู†
1096
+
1097
+ 275
1098
+ 00:21:40,170 --> 00:21:44,130
1099
+ ุจุชูƒูˆู† ุนู†ุฏู†ุง ู†ุณุจุฉ ุงู„ุฅุตุงุจุฉ ุจู€ Cancer ุฃูƒุจุฑ ู…ู† ุงู„ูุฆุงุช
1100
+
1101
+ 276
1102
+ 00:21:44,130 --> 00:21:50,790
1103
+ ุงู„ุนู…ุฑูŠุฉ ุงู„ุฃุฎุฑู‰ ูˆู…ู† ู†ุงุญูŠุฉ ุชุงู†ูŠุฉ ุญูƒูŠู†ุง ุฅู†ู‡ ููŠ ุนู†ุฏู†ุง
1104
+
1105
+ 277
1106
+ 00:21:50,790 --> 00:21:56,150
1107
+ ุจุนุถ ุญุงู„ุงุช ุงู„ู€ Cancer ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุฃุนู…ุงุฑ ู…ุจูƒุฑุฉ
1108
+
1109
+ 278
1110
+ 00:21:56,150 --> 00:22:01,580
1111
+ ุฃูˆ ุนู†ุฏ ุงู„ุฃุทูุงู„ ุทูŠุจูƒูŠู ุงู„ู…ุดูƒู„ุฉ ุฏูŠ ู‡ุชุตูŠุฑุŸ ู…ู…ูƒู† ุชูƒูˆู†
1112
+
1113
+ 279
1114
+ 00:22:01,580 --> 00:22:06,060
1115
+ ุจุณุจุจ ู…ุง ูŠุณู…ู‰ ุจู€ Chromotripsis ูˆุนู†ุง Chromotripsis
1116
+
1117
+ 280
1118
+ 00:22:06,060 --> 00:22:12,590
1119
+ ุงูƒุชุฑ in 2-3% of cancersูˆ ู…ูˆุฌูˆุฏุฉ ุจู†ุณุจุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„
1120
+
1121
+ 281
1122
+ 00:22:12,590 --> 00:22:17,510
1123
+ bone cancer ุชู‚ุฑูŠุจุง 25% ู…ู† ุญุงู„ุงุช ุงู„ bone cancer
1124
+
1125
+ 282
1126
+ 00:22:17,510 --> 00:22:21,390
1127
+ ุจุชูƒูˆู† ุจุณุจุจ chromothripsis ูˆ ุทุจุนุง ุจูŠู‡ ุงู„
1128
+
1129
+ 283
1130
+ 00:22:21,390 --> 00:22:25,490
1131
+ chromothripsis ุจูŠุตูŠุฑ ููŠ ุนู†ุง rearrangement ู„ุนุฏุฏ ู…ู†
1132
+
1133
+ 284
1134
+ 00:22:25,490 --> 00:22:29,770
1135
+ ุงู„ูƒุฑู…ุฒูˆู…ุงุช ูˆุณุจุจ ุงู„ chromothripsisุทุจุนุง ุฒูŠ ู…ุง ู‚ู„ู†ุง
1136
+
1137
+ 285
1138
+ 00:22:29,770 --> 00:22:33,230
1139
+ ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠุงู†ุง catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1140
+
1141
+ 286
1142
+ 00:22:33,230 --> 00:22:38,210
1143
+ ุจูŠุตูŠุฑ ููŠุงู†ุง ูƒุงุฑุซุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆูŠุนู†ูŠ ูƒู…ุงู† ุดูˆูŠุฉ
1144
+
1145
+ 287
1146
+ 00:22:38,210 --> 00:22:43,330
1147
+ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ู†ุธุฑูŠุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชูˆุตู ุณุจุจ ุญุฏูˆุซ ุงู„
1148
+
1149
+ 288
1150
+ 00:22:43,330 --> 00:22:46,510
1151
+ chromotrips ูŠุจู‚ู‰ single event of chromotrips
1152
+
1153
+ 289
1154
+ 00:22:46,510 --> 00:22:49,870
1155
+ involving one or a few chromosomes leads to
1156
+
1157
+ 290
1158
+ 00:22:49,870 --> 00:22:54,130
1159
+ multiple gene rearrangementsูˆ ุจู‡ุฐุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง
1160
+
1161
+ 291
1162
+ 00:22:54,130 --> 00:22:59,050
1163
+ ุชุบูŠุฑุงุช ู„ genes ุนุฏูŠุฏุฉ ู„ุฃู†ู‡ ูุนู„ูŠุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง ุชูƒุณุฑ
1164
+
1165
+ 292
1166
+ 00:22:59,050 --> 00:23:03,270
1167
+ ู„ ุงู„ chromosomes ูˆ ุจุนุฏูŠู† ุจุฑุฌุน ุจูŠุตูŠุฑ ููŠ ุนู†ุง joining
1168
+
1169
+ 293
1170
+ 00:23:03,270 --> 00:23:08,530
1171
+ ูˆ ุนู…ู„ูŠุฉ ุงู„ joining ุจุชูƒูˆู†ุด ุนู…ู„ูŠุฉ ุตุญูŠุญุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
1172
+
1173
+ 294
1174
+ 00:23:08,530 --> 00:23:14,910
1175
+ ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ ู„ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ุฌูŠู†ุงุช ูˆ ู…ู…ูƒู† ูŠุตู„ ุฅู„ู‰
1176
+
1177
+ 295
1178
+ 00:23:14,910 --> 00:23:18,870
1179
+ tens to hundreds of genes ุทุจุนุง ุถู…ู† ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1180
+
1181
+ 296
1182
+ 00:23:18,870 --> 00:23:23,140
1183
+ ู…ู…ูƒู† ูŠูƒูˆู† ุตุงุฑ ููŠู‡ุง ุชุบูŠุฑ ู‡ูŠ ุงู„ุฌูŠู†ุงุชุงู„ู„ูŠ ู‡ูŠ tumor
1184
+
1185
+ 297
1186
+ 00:23:23,140 --> 00:23:28,100
1187
+ -subdivisor genes ูˆ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูˆ ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1188
+
1189
+ 298
1190
+ 00:23:28,100 --> 00:23:31,760
1191
+ ู…ู…ูƒู† ุชู†ุชุฌ ุงู„ู„ูŠ ู‡ูŠ oncogenes ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ
1192
+
1193
+ 299
1194
+ 00:23:31,760 --> 00:23:37,260
1195
+ oncogenic effusion genes ูˆุจุฑุถู‡ ูŠุนู†ูŠ ุฅู†ู‡ ุงู„ู„ูŠ ู‡ูˆ
1196
+
1197
+ 300
1198
+ 00:23:37,260 --> 00:23:42,700
1199
+ ุงู„ู…ุซุงู„ ุงู„ุฃุดู‡ุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ PCR-ABL hybrid gene
1200
+
1201
+ 301
1202
+ 00:23:42,700 --> 00:23:45,360
1203
+ ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ hybrid protein ุงู„ู„ูŠ
1204
+
1205
+ 302
1206
+ 00:23:45,360 --> 00:23:49,180
1207
+ ุจูŠู†ุชุฌ ุนู†ู‡ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ุจุณุจุจ ุทุจุนู‹ุง ุงู„
1208
+
1209
+ 303
1210
+ 00:23:49,180 --> 00:23:52,060
1211
+ chromosome ุงู„ translocation ุจูŠู† ุงู„ chromosomes9
1212
+
1213
+ 304
1214
+ 00:23:52,060 --> 00:23:58,140
1215
+ and 22 ุทูŠุจ ู‡ุฐู‡ ุงู„ catastrophe event ุงู„ู„ูŠ ุตุงุฑุช ููŠ
1216
+
1217
+ 305
1218
+ 00:23:58,140 --> 00:24:03,140
1219
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูˆ ุงู„ุชูƒุณุฑ ุงู„ู„ูŠ ุตุงุฑ ููŠ ุงู„
1220
+
1221
+ 306
1222
+ 00:24:03,140 --> 00:24:09,280
1223
+ chromosomes ูˆ ุทุจุนุง ููŠ attempt ู„ ุงู„ repair ู„ูƒู† ุทุจุนุง
1224
+
1225
+ 307
1226
+ 00:24:09,280 --> 00:24:14,220
1227
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู† ุงู„ repair ู‡ุฐุง ู‡ูŠุนู…ู„ joining ู„ู‚ุทุน ู…ู†
1228
+
1229
+ 308
1230
+ 00:24:14,220 --> 00:24:18,850
1231
+ ุงู„ chromosomes ุจุดูƒู„ ุฎุงุทุฆูˆ ู‡ูŠุคุฏูŠ ุฅู„ู‰ incorrect
1232
+
1233
+ 309
1234
+ 00:24:18,850 --> 00:24:22,090
1235
+ junctions ูˆุจุงู„ุชุงู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ู‡ูŠุนู…ู„ disruption
1236
+
1237
+ 310
1238
+ 00:24:22,090 --> 00:24:26,770
1239
+ ู„ ุงู„ tumor suppressor genes ุฃูˆ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ ุงู„ู„ูŠ
1240
+
1241
+ 311
1242
+ 00:24:26,770 --> 00:24:31,830
1243
+ ู‡ูˆ oncogenic fusion genes ุทูŠุจ ูƒูŠู ู…ู…ูƒู† ููŠ ุงู„ู…ุฎุชุจุฑ
1244
+
1245
+ 312
1246
+ 00:24:31,830 --> 00:24:38,750
1247
+ ุชุซุจุช ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงู„ูˆูƒุฑูˆู…ุงุซุฑุจุณุฒ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1248
+
1249
+ 313
1250
+ 00:24:38,750 --> 00:24:44,770
1251
+ ู…ู…ูƒู† ุจุงุณุชุฎุฏุงู… ุงู„ fish probesูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… ุงู„ fish
1252
+
1253
+ 314
1254
+ 00:24:44,770 --> 00:24:50,050
1255
+ props marking normal chromosome location labeled
1256
+
1257
+ 315
1258
+ 00:24:50,050 --> 00:24:54,950
1259
+ with different color dyes ูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… fish props
1260
+
1261
+ 316
1262
+ 00:24:55,410 --> 00:25:01,050
1263
+ ู„ู€ different chromosomes ูˆุฅู† ูƒู„ probe ุจูŠุนุทูŠู†ุง ู„ูˆู†
1264
+
1265
+ 317
1266
+ 00:25:01,050 --> 00:25:06,730
1267
+ ู…ุนูŠู† ูˆุทุจุนุง ุงุญู†ุง ุนุงุฑููŠู† ุงู„ probes ู‡ุฐู‡ ู„ุฃูŠ ูƒุฑู…ูˆุฒูˆู…ุงุช
1268
+
1269
+ 318
1270
+ 00:25:06,730 --> 00:25:11,130
1271
+ ู…ุณุชุฎุฏู…ุฉ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู† ุฅู† ุงู„ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉ ุจูŠู„ุงู‚ูŠ
1272
+
1273
+ 319
1274
+ 00:25:11,130 --> 00:25:15,570
1275
+ ุฅู† ุงู„ probe ู‡ุฐุง ู…ูˆุฌูˆุฏ ููŠ ู…ูƒุงู†ู‡ ุงู„ุตุญูŠุญ ููŠ ุงู„ูƒุฑู…ูˆุฒูˆู…
1276
+
1277
+ 320
1278
+ 00:25:15,570 --> 00:25:21,220
1279
+ ุงู„ุตุญูŠุญุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ ุงู†ู‡ ุชุบูŠุฑ ููŠ ู…ูƒุงู† ู„ Prob ูŠุนู†ูŠ
1280
+
1281
+ 321
1282
+ 00:25:21,220 --> 00:25:24,480
1283
+ ุงู„ู…ูุฑูˆุถ Prob ุงุญู†ุง ุนุงู…ู„ูŠู†ู‡ ู…ุซู„ุง ุฏู‡ chromosome ุฎู…ุณุฉ
1284
+
1285
+ 322
1286
+ 00:25:24,480 --> 00:25:29,930
1287
+ ู„ู‚ูŠู†ุงุงู„ู€ Prob ู‡ุฐุง ู…ุซู„ุง ู…ูˆุฌูˆุฏ ููŠ ูƒุฑูˆู…ูˆุฒูˆู… ุขุฎุฑ ูŠุจู‚ู‰
1288
+
1289
+ 323
1290
+ 00:25:29,930 --> 00:25:33,550
1291
+ ุจู†ุนุฑู ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ุฃูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑ
1292
+
1293
+ 324
1294
+ 00:25:33,550 --> 00:25:41,010
1295
+ ููŠ ู…ูƒุงู† ุงู„ุฌูŠู†ุงุช ู‡ุฐู‡ ูˆุนู†ุฏู†ุง ู‡ู†ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ
1296
+
1297
+ 325
1298
+ 00:25:41,010 --> 00:25:47,670
1299
+ ุชู… ุงุณุชุฎุฏุงู… Prob ู„ูƒุฑูˆู…ูˆุฒูˆู… 5 ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู€
1300
+
1301
+ 326
1302
+ 00:25:47,670 --> 00:25:52,500
1303
+ Prob ุทุจุนุง ุงุฑุชุจุทุช ููŠุงู„ู€ complementary sequence ุงู„ู„ูŠ
1304
+
1305
+ 327
1306
+ 00:25:52,500 --> 00:25:55,760
1307
+ ุฅู„ู‡ุง ูˆุฅุนุทุชู†ูŠ ุงู„ู„ูŠ ู‡ูˆ fluorescence ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ
1308
+
1309
+ 328
1310
+ 00:25:55,760 --> 00:25:59,860
1311
+ ุฃู„ูˆุงู† ู…ุนูŠู†ุฉ ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ููŠ ุงู„ู€ normal chromosome
1312
+
1313
+ 329
1314
+ 00:25:59,860 --> 00:26:05,200
1315
+ ุฎู…ุณุฉ ูŠูƒูˆู† ู‡ูˆ ู‡ุฐุง ุงู„ุชุฑุชูŠุจ ู„ูˆุฌูˆุฏ ุงู„ props ุจู†ุงุก ุนู„ู‰
1316
+
1317
+ 330
1318
+ 00:26:05,200 --> 00:26:10,040
1319
+ ุงู„ sequence ุงู„ู„ูŠ ุงุฑุชุจุทุช ููŠู‡ุง ู‡ุฐู‡ ุงู„ props ุงู„ู…ุฎุชู„ูุฉ
1320
+
1321
+ 331
1322
+ 00:26:11,200 --> 00:26:15,300
1323
+ ุทูŠุจ ููŠ ุญุงู„ ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุชุบูŠุฑ ุทุจุนุง ู‡ูŠ
1324
+
1325
+ 332
1326
+ 00:26:15,300 --> 00:26:19,460
1327
+ ู‡ู†ุง ู‡ุฐู‡ ุงู„ chromosomes ู„ุฎู„ูŠุฉ ูˆููŠ ุนู†ุฏู†ุง ุจุนุถ ุงู„ู„ูŠ ู‡ูŠ
1328
+
1329
+ 333
1330
+ 00:26:19,460 --> 00:26:23,640
1331
+ ุงู„ chromosomes ุงู„ู„ูŠ ูŠุนู†ูŠ ู„ุณู‡ ุทุจูŠุนูŠุฉ ู„ูƒู† ููŠ ุนู†ุฏู†ุง
1332
+
1333
+ 334
1334
+ 00:26:23,640 --> 00:26:26,700
1335
+ ุงู„ chromosomes ุฃุฎุฑู‰ ุงู„ู„ูŠ ู‡ูˆ chromosome ุฎู…ุณุฉ ุตุงุฑ
1336
+
1337
+ 335
1338
+ 00:26:26,700 --> 00:26:31,320
1339
+ ููŠู‡ุง ุชุบูŠูŠุฑ ูˆ ุจุทู„ ุนู†ุฏู†ุง ุงู„ุชุฑุชูŠุจ ู„ ุงู„ props ุฒูŠ ู…ุง
1340
+
1341
+ 336
1342
+ 00:26:31,320 --> 00:26:35,060
1343
+ ุดูู†ุง ุงู„ู„ูŠ ู‡ูˆ ููŠ ุญุงู„ุฉ ุงู„ normal ูŠุนู†ูŠ ู‡ุงูŠ ู…ุซู„ุง ู‡ู†ุง
1344
+
1345
+ 337
1346
+ 00:26:35,060 --> 00:26:39,700
1347
+ derivativeู„ู€ Chromosome 5 ุดุงูŠููŠู† ุฃู†ู‡ ุงุญู†ุง ุงู„ุชุฑุชูŠุจ
1348
+
1349
+ 338
1350
+ 00:26:39,700 --> 00:26:43,940
1351
+ ุทุจุนุงู‹ ุงู„ู„ูŠ ู‡ูˆ ุงุฎุชู„ู ูˆู‡ุฐู‡ ุตูˆุฑุฉ ู…ูƒุจุฑุฉ ู„ู€ Derivative
1352
+
1353
+ 339
1354
+ 00:26:43,940 --> 00:26:47,020
1355
+ Chromosome 5 ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Probes
1356
+
1357
+ 340
1358
+ 00:26:47,020 --> 00:26:52,780
1359
+ ูˆู…ูƒุงู† ุงุฑุชุจุงุทู‡ุง ุงุฎุชู„ู ูˆู‡ุฐุง ุทุจุนุงู‹ ุจุณุจุจ ุงู„ุณุจุจ ููŠ ุงู„ู€
1360
+
1361
+ 341
1362
+ 00:26:52,780 --> 00:26:57,260
1363
+ Rearrangement ุงู„ู„ูŠ ุตุงุฑุช ู„ู€ Chromosome ุชู…ุงู… ู‡ุฐุง
1364
+
1365
+ 342
1366
+ 00:26:57,260 --> 00:27:00,540
1367
+ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ูˆ Normal Chromosome 5 ู„ุฃู†ู‡ ุนู†ุง ุฒูŠ ู…ุง
1368
+
1369
+ 343
1370
+ 00:27:00,540 --> 00:27:05,170
1371
+ ู‚ู„ู†ุง ุงู„ุชุฑุชูŠุจ ูŠุนู†ูŠ ุทุจูŠุนูŠ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ Derivativeุฃุฎุฑ
1372
+
1373
+ 344
1374
+ 00:27:05,170 --> 00:27:08,850
1375
+ ู„ู‚ู‰ ูƒุฑู…ูˆุฒูˆู… ุฎู…ุณุฉ ูˆู…ู†ุจูŠู† ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงุฎุชู„ุงู ููŠ
1376
+
1377
+ 345
1378
+ 00:27:08,850 --> 00:27:14,450
1379
+ ุชุฑุชูŠุจ ุงู„ู€ probes ุนู† ุงู„ุทุจูŠุนูŠ ุทูŠุจุŒ ุฅูŠุด ุงู„ุณุจุจ ุงู„ู„ูŠ
1380
+
1381
+ 346
1382
+ 00:27:14,450 --> 00:27:18,150
1383
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1384
+
1385
+ 347
1386
+ 00:27:18,150 --> 00:27:22,450
1387
+ ูˆูŠุคุฏูŠ ุฅู„ู‰ chromotripsisุŸ ุงู„ุณุจุจ ู…ุง ุฒุงู„ ุบูŠุฑ ู…ุนุฑูˆู
1388
+
1389
+ 348
1390
+ 00:27:22,450 --> 00:27:27,350
1391
+ ู„ูƒู† ููŠู†ุง suggestionsุŒ three suggestions have been
1392
+
1393
+ 349
1394
+ 00:27:27,350 --> 00:27:32,460
1395
+ proposed ุชู„ุช ุงู‚ุชุฑุงุญุงุชู„ุฃูŠุด ุณุจุจ ุงู„ุญุฏูˆุซ
1396
+
1397
+ 350
1398
+ 00:27:32,460 --> 00:27:36,820
1399
+ ู„ู€Chromotripsis ู‡ุฐู‡ุŸ ูˆุงุญุฏ ู…ู† ุงู„ู€ suggestions ุงู„ู€
1400
+
1401
+ 351
1402
+ 00:27:36,820 --> 00:27:41,340
1403
+ ionizing radiation that leads to chromosome breaks
1404
+
1405
+ 352
1406
+ 00:27:41,340 --> 00:27:44,920
1407
+ ุฃูˆ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ ionizing
1408
+
1409
+ 353
1410
+ 00:27:44,920 --> 00:27:48,220
1411
+ radiation ูˆู†ุดูˆู ูƒูŠู ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุง chromosome
1412
+
1413
+ 354
1414
+ 00:27:48,220 --> 00:27:53,840
1415
+ double strand ุงู„ู„ูŠ ู‡ูˆ chromosome breaks ุฃูŠุถุง ุนู†ุฏู†ุง
1416
+
1417
+ 355
1418
+ 00:27:53,840 --> 00:27:59,240
1419
+ telomere dysfunctionwhich may lead to end-end
1420
+
1421
+ 356
1422
+ 00:27:59,240 --> 00:28:03,240
1423
+ chromosome fusion ุงู‡ ุฒูŠ ู…ุง ุงุญู†ุง ุนุงุฑููŠู† ุงู†ู‡ ู…ู†
1424
+
1425
+ 357
1426
+ 00:28:03,240 --> 00:28:07,840
1427
+ ูˆุธุงุฆู ุงู„ุชู„ูˆู…ูŠุฑ ุงู†ู‡ ุจูŠู…ู†ุน ู…ู† ุงู„ุงุฑุชุจุงุท ุงู„ ends
1428
+
1429
+ 358
1430
+ 00:28:07,840 --> 00:28:11,240
1431
+ ู„ู„ูƒุฑู…ุฒูˆู… ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ูŠุจู‚ู‰ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง
1432
+
1433
+ 359
1434
+ 00:28:11,240 --> 00:28:14,640
1435
+ ู…ุดูƒู„ุฉ ุจูŠู‡ ุงู„ุชู„ูˆู…ูŠุฑ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูŠุคุฏูŠ ุงู„ู‰ ุงุฑุชุจุงุท
1436
+
1437
+ 360
1438
+ 00:28:14,640 --> 00:28:17,980
1439
+ chromosomes end to end ู…ุน ุจุนุถ ุงู„ุจุนุถ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ
1440
+
1441
+ 361
1442
+ 00:28:17,980 --> 00:28:22,940
1443
+ ุงู„ู‰ ุทุจุนุง ุจุนุฏ ู‡ูŠูƒ breaking ู„ู„ูƒุฑู…ุฒูˆู… ูˆ rearrangement
1444
+
1445
+ 362
1446
+ 00:28:22,940 --> 00:28:28,300
1447
+ ู„ู„ูƒุฑู…ุฒูˆู…ุงู„ุณุจุจ ุงู„ุชุงู„ุช ุฃูˆ ุงู„ suggestion ุงู„ุชุงู„ุชุฉ
1448
+
1449
+ 363
1450
+ 00:28:28,300 --> 00:28:31,300
1451
+ ุจูŠู‚ูˆู„ ุงู†ู‡ aborted apoptosis such that cells which
1452
+
1453
+ 364
1454
+ 00:28:31,300 --> 00:28:35,840
1455
+ have initiated DNA fragmentation survived ุทุจุนุง ุงู†ู‡
1456
+
1457
+ 365
1458
+ 00:28:35,840 --> 00:28:39,800
1459
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง induction ู„apoptosis ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ
1460
+
1461
+ 366
1462
+ 00:28:39,800 --> 00:28:44,200
1463
+ ุทุจุนุง ุถู…ู† ุฎุทูˆุงุช ุงู„apoptosis ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ DNA
1464
+
1465
+ 367
1466
+ 00:28:44,200 --> 00:28:49,480
1467
+ fragmentation ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชูƒุณุฑ ู„ ุงู„ DNAูŠุจู‚ู‰
1468
+
1469
+ 368
1470
+ 00:28:49,480 --> 00:28:54,020
1471
+ ู…ู…ูƒู† ูŠูƒูˆู† ุณุจุจ ู„ู€ Chromothripsis ุฅู† ุฎู„ูŠุฉ ุตุงุฑ ููŠู‡ุง
1472
+
1473
+ 369
1474
+ 00:28:54,020 --> 00:28:57,240
1475
+ induction ู„ู€ Apoptosis ูˆ ุจุนุฏ ู‡ูŠูƒ ุนู…ู„ูŠุฉ ุงู„ู€
1476
+
1477
+ 370
1478
+ 00:28:57,240 --> 00:29:01,360
1479
+ Apoptosis ู„ูŠู‡ุง ุชูˆู‚ูุช ุทุจุนุง ุจุนุฏ ู…ุง ุตุงุฑ ููŠ ุนู†ุง ุงู„ูˆ
1480
+
1481
+ 371
1482
+ 00:29:01,360 --> 00:29:05,660
1483
+ DNA fragmentation ูˆ ุงู„ุชูƒุณุฑ ู„ูƒุฑู…ุฒูˆู…ุงุช ุฃูˆ
1484
+
1485
+ 372
1486
+ 00:29:05,660 --> 00:29:11,080
1487
+ Chromothripsis ูŠุจู‚ู‰ ู‡ุฐู‡ ุชู„ุงุชุฉ suggestions ู„ุณุจุจ
1488
+
1489
+ 373
1490
+ 00:29:11,080 --> 00:29:14,680
1491
+ ุญุฏูˆุซ ู„ู€ Chromothripsis ุจุงู„ู†ุณุจุฉ ู„ location of
1492
+
1493
+ 374
1494
+ 00:29:14,680 --> 00:29:20,290
1495
+ mutationุงู„ู€ mutations may occur anywhere across a
1496
+
1497
+ 375
1498
+ 00:29:20,290 --> 00:29:22,990
1499
+ particular gene but the location will determine
1500
+
1501
+ 376
1502
+ 00:29:22,990 --> 00:29:25,570
1503
+ whether some of these mutations give rise to
1504
+
1505
+ 377
1506
+ 00:29:25,570 --> 00:29:29,650
1507
+ growth advantage and contribute to carcinogenesis
1508
+
1509
+ 378
1510
+ 00:29:29,650 --> 00:29:34,290
1511
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ mutation ุชุตูŠุฑ ุจุฃูŠ ู…ูƒุงู† ูˆ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ
1512
+
1513
+ 379
1514
+ 00:29:34,290 --> 00:29:38,630
1515
+ ุญุชุตูŠุฑ ููŠู‡ mutation ู‡ูŠ ุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ุชุญุฏุฏ ุฅุฐุง ูƒุงู† ุตุงุฑ
1516
+
1517
+ 380
1518
+ 00:29:38,630 --> 00:29:43,250
1519
+ ููŠู‡ a growth advantage ุจุณุจุจ ู‡ุฐู‡ ุงู„ mutation ุฃูˆ ู„ุง
1520
+
1521
+ 381
1522
+ 00:29:44,730 --> 00:29:48,890
1523
+ ูˆุงู„ุขู† ุจู†ุงุก ุนู„ู‰ location of mutation ู…ู…ูƒู† ู†ู‚ุณู… ุงู„
1524
+
1525
+ 382
1526
+ 00:29:48,890 --> 00:29:53,810
1527
+ mutations ุฅู„ู‰ two types ููŠู†ุง ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ
1528
+
1529
+ 383
1530
+ 00:29:53,810 --> 00:30:00,470
1531
+ ุงู„ driver mutations ูˆ ุงู„ driver mutations ู‡ูŠ a
1532
+
1533
+ 384
1534
+ 00:30:00,470 --> 00:30:05,810
1535
+ mutation ุจุชุญุฏุซ ุงู„ crucial genetic mutations that
1536
+
1537
+ 385
1538
+ 00:30:05,810 --> 00:30:09,950
1539
+ initiated homogenesis ุจูŠุจุตูŠุฑ ููŠู†ุง genetic
1540
+
1541
+ 386
1542
+ 00:30:09,950 --> 00:30:14,370
1543
+ mutations ูˆุงู„ู€ Genetic Mutation ู‡ุฐู‡ ุจุชุนุทูŠ ุงู„ู€
1544
+
1545
+ 387
1546
+ 00:30:14,370 --> 00:30:19,010
1547
+ Growth ุทุจุนุงู‹ advantage ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ Drive
1548
+
1549
+ 388
1550
+ 00:30:19,010 --> 00:30:26,450
1551
+ Remutations ู‡ุชูƒูˆู† ุฅู…ุง ุชุณุจุจ ุงู„ู„ูŠ ู‡ูˆ ูŠุนู†ูŠ Oncogenic
1552
+
1553
+ 389
1554
+ 00:30:26,450 --> 00:30:31,810
1555
+ effusion gene ุฃูˆ ู…ู…ูƒู† ุงู„ู€ Mutation ู‡ุฐู‡ ุชุฃุซุฑ ุนู„ู‰ ุงู„
1556
+
1557
+ 390
1558
+ 00:30:31,810 --> 00:30:37,250
1559
+ tumor suppressor gene ูˆุจุงู„ุชุงู„ูŠ ูŠุตุจุญ non-functional
1560
+
1561
+ 391
1562
+ 00:30:37,250 --> 00:30:41,570
1563
+ ูŠุจู‚ู‰ ุงู„ drive remutationsGives a growth advantage
1564
+
1565
+ 392
1566
+ 00:30:41,570 --> 00:30:45,350
1567
+ on cells ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ tumor genesis
1568
+
1569
+ 393
1570
+ 00:30:45,350 --> 00:30:49,370
1571
+ ู„ุฃู† Oncogenes ุฃูˆ ุงู„ู€ tumor subcessor genes ุจูŠูƒูˆู†ูˆุง
1572
+
1573
+ 394
1574
+ 00:30:49,370 --> 00:30:53,890
1575
+ involved ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ mutations ุงู„ู„ูŠ ูŠุณู…ู‰ ุจุงู„
1576
+
1577
+ 395
1578
+ 00:30:53,890 --> 00:30:59,550
1579
+ passenger mutations Passenger mutations do not
1580
+
1581
+ 396
1582
+ 00:30:59,550 --> 00:31:04,330
1583
+ confer a growth advantage ูŠุจู‚ู‰ ุนุจุงุฑุฉ ุนู† somatic
1584
+
1585
+ 397
1586
+ 00:31:04,330 --> 00:31:09,930
1587
+ mutations ู„ูƒู† without functional consequencesู‡ูŠุจู‚ู‰
1588
+
1589
+ 398
1590
+ 00:31:09,930 --> 00:31:16,250
1591
+ ู…ุด ู‡ูŠุชุฑุชุจ ุนู„ู‰ ู‡ุฐู‡ ุงู„ mutations ุฅุดูŠ ุจูŠุชุนู„ู‚ ุจูŠู‡ ุงู„ู„ูŠ
1592
+
1593
+ 399
1594
+ 00:31:16,250 --> 00:31:20,370
1595
+ ู‡ูˆ ุงู„ growth advantage ุฃูˆ ุงู„ู„ูŠ ุจูŠุนุทูŠ ู…ู…ูƒู† ู…ูŠุฒุฉ ู„ู‚ู‰
1596
+
1597
+ 400
1598
+ 00:31:20,370 --> 00:31:24,870
1599
+ ุงู„ cancer ุจูŠุจู‚ู‰ ุงู„ mutation ู„ูƒู† ู…ุงุจุชุนุทูŠุด ุฃูŠ growth
1600
+
1601
+ 401
1602
+ 00:31:24,870 --> 00:31:30,470
1603
+ advantage ุทุจุนุง ูŠุจู‚ู‰ ู‡ุงู† ุงู„ููŠุฌุฑ ูŠุนู†ูŠ ุจูŠุนุทูŠ ููƒุฑุฉ ุนู†
1604
+
1605
+ 402
1606
+ 00:31:30,470 --> 00:31:35,570
1607
+ ุงู„ passenger ูˆ ุงู„ driver mutations ู‡ุงู† ููŠู†ุง ุงู„ู„ูŠ
1608
+
1609
+ 403
1610
+ 00:31:35,570 --> 00:31:42,150
1611
+ ู‡ูˆ normal cellู…ุงููŠุด ุนู†ุฏู†ุง ุฃูŠ mutationsุงู„ุงู† ู„ูˆ ุตุงุฑ
1612
+
1613
+ 404
1614
+ 00:31:42,150 --> 00:31:45,150
1615
+ ููŠู†ุง passenger mutations ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ุด ู‡ุชุนู…ู„ ุงูŠ
1616
+
1617
+ 405
1618
+ 00:31:45,150 --> 00:31:52,050
1619
+ ุงู„ู„ูŠ ู‡ูˆ ู…ุด ู‡ุชุญุฏุซ ุงูŠ ุชุบูŠูŠุฑ ุนู„ู‰ ุงู„ ุงู„ genes ูˆุจุงู„ุชุงู„ูŠ
1620
+
1621
+ 406
1622
+ 00:31:52,050 --> 00:31:55,650
1623
+ ุงู„ุฎู„ูŠุฉ ุจุฑุถู‡ ุถู„ุช normal ุนูŠุจ ูŠุง ุฌู…ุงุนุฉ ูˆุฌูˆุฏ ุงู„
1624
+
1625
+ 407
1626
+ 00:31:55,650 --> 00:32:00,310
1627
+ passenger mutations ุจุฑุถู‡ ุงู„ุฎู„ูŠุฉ ุถู„ุช normal ุงู„ุงู†
1628
+
1629
+ 408
1630
+ 00:32:00,310 --> 00:32:04,170
1631
+ ุงู…ุชู‰ ู‡ูŠุตูŠุฑ ููŠู†ุง ุงู„ transformation ู„ ุงู„ุฎู„ูŠุฉ ู„ูˆ ุตุงุฑ
1632
+
1633
+ 409
1634
+ 00:32:04,170 --> 00:32:07,990
1635
+ ููŠู†ุง driver mutations ุงู„ mutations ุงู„ู„ูŠ ู‡ูŠ ู…ุนุจุฑ
1636
+
1637
+ 410
1638
+ 00:32:07,990 --> 00:32:12,520
1639
+ ุนู†ู‡ุง ุงู„ black dotsุงู„ุฌู‡ู‡ ุงู†ุตุฑ ููŠ ุงู†ู‡ ุงู„
1640
+
1641
+ 411
1642
+ 00:32:12,520 --> 00:32:17,640
1643
+ transformation.ุงู„ุงู† ุนุดุงู† ูŠุตูŠุฑ ููŠ ุงู†ู‡ ุงู„ูˆ more
1644
+
1645
+ 412
1646
+ 00:32:17,640 --> 00:32:22,000
1647
+ transformation ูˆ ูŠุตูŠุฑ ููŠู‡ metastasis ู…ู…ูƒู†
1648
+
1649
+ 413
1650
+ 00:32:22,000 --> 00:32:26,860
1651
+ additionalุงู„ุชุบูŠูŠุฑ ุงู„ู…ุณุงุนุฏ ูŠุชุทู„ุจ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุณุงุนุฏ
1652
+
1653
+ 414
1654
+ 00:32:26,860 --> 00:32:28,660
1655
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1656
+
1657
+ 415
1658
+ 00:32:28,660 --> 00:32:28,720
1659
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1660
+
1661
+ 416
1662
+ 00:32:28,720 --> 00:32:29,400
1663
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1664
+
1665
+ 417
1666
+ 00:32:29,400 --> 00:32:35,280
1667
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1668
+
1669
+ 418
1670
+ 00:32:35,280 --> 00:32:40,120
1671
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1672
+
1673
+ 419
1674
+ 00:32:40,120 --> 00:32:47,480
1675
+ ุงู„ู…ุณุงุนุฏุงู„ุขู† ูˆูŠู† ุงู„ู€ mutation ู‡ุชุตูŠุฑุŸ ู‡ูŠุตูŠุฑ ููŠู†ุง
1676
+
1677
+ 420
1678
+ 00:32:47,480 --> 00:32:51,920
1679
+ ุงู„ุชุบูŠูŠุฑ ูŠุนู†ูŠ ู„ูˆ ุตุงุฑ ููŠู†ุง a mutation in the
1680
+
1681
+ 421
1682
+ 00:32:51,920 --> 00:32:57,240
1683
+ promoter region ูŠุจู‚ู‰ ู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ูŠ ุชุบูŠูŠุฑ ุฃูˆ ูŠุบูŠุฑ
1684
+
1685
+ 422
1686
+ 00:32:57,240 --> 00:33:03,700
1687
+ ููŠ ุงู„ regulation ู„ู„ุฌูŠู† ูˆู…ู…ูƒู† ูŠุบูŠุฑ ููŠ ุงู„ level of
1688
+
1689
+ 423
1690
+ 00:33:03,700 --> 00:33:09,660
1691
+ expression ู„ู„ุฌูŠู† ู…ู…ูƒู† ูŠุบูŠุฑ ูŠุนู…ู„ูŠ ุงู„ what temporal
1692
+
1693
+ 424
1694
+ 00:33:09,660 --> 00:33:15,610
1695
+ ุฃูˆ spatial expressionู‡ูˆ ุชุบูŠูŠุฑ ุฅู…ุง ููŠ ุงู„ู…ูƒุงู† ุฃูˆ ููŠ
1696
+
1697
+ 425
1698
+ 00:33:15,610 --> 00:33:20,530
1699
+ ุงู„ุฒู…ุงู† ุงู„ู„ู‰ ุญูŠุตูŠุฑ ููŠู‡ expression ู„ู‡ุฐุง ุงู„ gene
1700
+
1701
+ 426
1702
+ 00:33:20,530 --> 00:33:25,150
1703
+ ุจูŠู‡ุฏุฃ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุง mutation ููŠ ุงู„ promoter
1704
+
1705
+ 427
1706
+ 00:33:25,150 --> 00:33:30,430
1707
+ region ุจูŠุบูŠุฑ ุงู„ regulation ู„ู„ุฌูŠู† ูˆู„ุง ุงู„ expression
1708
+
1709
+ 428
1710
+ 00:33:30,430 --> 00:33:36,350
1711
+ ู„ู‡ุฐุง ุงู„ gene ุงู„ุขู† ุงู„ู†ุชูŠุฌุฉ ุฃู†ู‡ ุญูŠุตูŠุฑ ููŠ ุนู†ุง ู…ู…ูƒู†
1712
+
1713
+ 429
1714
+ 00:33:36,350 --> 00:33:41,270
1715
+ over or under expression of the protein product
1716
+
1717
+ 430
1718
+ 00:33:42,110 --> 00:33:45,690
1719
+ ูˆู‡ุฐู‡ ุงู„ู€ mutations ุฅู…ุง ู‡ุชุฒูŠุฏ ู…ู† expression ู„ุฌูŠู†
1720
+
1721
+ 431
1722
+ 00:33:45,690 --> 00:33:49,570
1723
+ ู…ุนูŠู† ูˆุจุงู„ุชุงู„ูŠ ุงู„ุจุฑูˆุชูŠู† ุงู„ู†ุงุชุฌ ุนู† ู‡ุฐุง ุงู„ุฌูŠู† ู‡ูŠุฒูŠุฏ
1724
+
1725
+ 432
1726
+ 00:33:49,570 --> 00:33:53,250
1727
+ ุฃูˆ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ under expression ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„
1728
+
1729
+ 433
1730
+ 00:33:53,250 --> 00:34:00,930
1731
+ mutation ู‡ุฐู‡ ุชุนู…ู„ูŠ silencing ู„ู‡ุฐุง ุงู„ุฌูŠู† result in
1732
+
1733
+ 434
1734
+ 00:34:00,930 --> 00:34:03,590
1735
+ over or under expression of the protein product or
1736
+
1737
+ 435
1738
+ 00:34:03,590 --> 00:34:06,730
1739
+ the appearance of the protein product at the wrong
1740
+
1741
+ 436
1742
+ 00:34:06,730 --> 00:34:12,650
1743
+ time or in the wrong placeุฃู‡ ูŠุจู‚ู‰ ู„ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง
1744
+
1745
+ 437
1746
+ 00:34:12,650 --> 00:34:17,250
1747
+ ุฃู†ู‡ ููŠู†ุง Silence gene ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูˆุตุงุฑ ููŠู†ุง
1748
+
1749
+ 438
1750
+ 00:34:17,250 --> 00:34:21,830
1751
+ mutation ููŠ ุงู„ promoter region ูŠู…ูƒู† ูŠุตูŠุฑ ููŠุงู† de
1752
+
1753
+ 439
1754
+ 00:34:21,830 --> 00:34:26,690
1755
+ -expression ู„ู‡ุฐุง ุงู„ุฌูŠู† ูˆูŠู†ุชุฌ ุนู†ู‡ protein ู…ุนูŠู† ู…ู…ูƒู†
1756
+
1757
+ 440
1758
+ 00:34:26,690 --> 00:34:31,650
1759
+ ููŠ ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุฃู† ู‡ุฐุง ุงู„ุฌูŠู†silence gene ูˆ
1760
+
1761
+ 441
1762
+ 00:34:31,650 --> 00:34:36,010
1763
+ ุจูŠุตูŠุฑุด ููŠู‡ ุฅู„ู‡ expression mutations occurring in
1764
+
1765
+ 442
1766
+ 00:34:36,010 --> 00:34:38,230
1767
+ the coding region ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ
1768
+
1769
+ 443
1770
+ 00:34:38,230 --> 00:34:41,790
1771
+ ููŠู‡ุง mutation ุงู„ู„ูŠ ุจูŠู‡ ุงู„ coding region ูˆ ุงู„ู…ูุฑูˆุถ
1772
+
1773
+ 444
1774
+ 00:34:41,790 --> 00:34:43,930
1775
+ ุงู„ coding region ู‡ุฐู‡ ุงู„ู„ูŠ ุจูŠูˆุตู„ ู„ู‡ุง transcription
1776
+
1777
+ 445
1778
+ 00:34:43,930 --> 00:34:46,970
1779
+ ุชุนุทูŠู†ูŠ messenger RNA ูˆ ุชุนุทูŠู†ูŠ ุงู„ translation ูˆ
1780
+
1781
+ 446
1782
+ 00:34:46,970 --> 00:34:51,150
1783
+ ุชุนุทูŠู†ูŠ ุงู„ functional protein ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ
1784
+
1785
+ 447
1786
+ 00:34:51,150 --> 00:34:55,510
1787
+ ุนู†ุฏู‰ mutation ููŠ ุงู„ coding region ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ู…ูƒู†
1788
+
1789
+ 448
1790
+ 00:34:55,510 --> 00:35:01,400
1791
+ ุชุนู…ู„ูŠุงู„ุชุฑ ู„ู„ู€ function of the gene ู…ู…ูƒู† ุชุบูŠุฑ
1792
+
1793
+ 449
1794
+ 00:35:01,400 --> 00:35:05,900
1795
+ limitations ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠุฑ ููŠ ุงู„ amino acid
1796
+
1797
+ 450
1798
+ 00:35:05,900 --> 00:35:10,880
1799
+ sequence ูˆุจุงู„ุชุงู„ูŠ ู„ู„ three dimensional structure
1800
+
1801
+ 451
1802
+ 00:35:10,880 --> 00:35:16,380
1803
+ ู„ู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ุชุบูŠุฑ ุจุงู„ function ู„ู„ุจุฑูˆุชูŠู†ู…ู…ูƒู†
1804
+
1805
+ 452
1806
+ 00:35:16,380 --> 00:35:23,060
1807
+ ุญุฏูˆุซ mutation ูŠุคุฏูŠ ุฅู„ู‰ truncated ุงู„ุจุฑูˆุชูŠู† ู„ุฃู† ู…ู…ูƒู†
1808
+
1809
+ 453
1810
+ 00:35:23,060 --> 00:35:26,640
1811
+ ุงู„ mutation ู‡ุงุฏุฉ ูŠุนู…ู„ ู„ูŠ stop codon ู„ู…ุง ูˆุจุงู„ุชุงู„ูŠ
1812
+
1813
+ 454
1814
+ 00:35:26,640 --> 00:35:31,720
1815
+ ูŠุชูˆู‚ู ุนู†ุฏูŠ ุนู…ู„ูŠุฉ ุงู„ translation ู„ ุงู„ messenger RNA
1816
+
1817
+ 455
1818
+ 00:35:31,720 --> 00:35:36,760
1819
+ ูˆู…ุงูŠูƒูˆู†ุด ุนู†ุฏูŠ ุงู„ู†ุงุชุฌ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจุฑูˆุชูŠู† ุงู„ูƒุงู… ุงู„ู„ูŠ
1820
+
1821
+ 456
1822
+ 00:35:36,760 --> 00:35:41,100
1823
+ ู‡ูŠูƒูˆู† ุฌุฒุก ู…ู† ุงู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู† non
1824
+
1825
+ 457
1826
+ 00:35:41,100 --> 00:35:47,790
1827
+ -functional proteinุงู„ู†ู‚ุทุฉ ูŠุนู†ูŠ ุจุชุญุชุงุฌ ู…ู†ู†ุง ู…ู…ูƒู†
1828
+
1829
+ 458
1830
+ 00:35:47,790 --> 00:35:53,930
1831
+ ู„ูŠู‡ ุงู„ุชููƒูŠุฑ ุจูŠู‡ ุนู…ู‚ ูˆู‡ูŠ ุชุชุนู„ู‚ ุจุงู„ู€ mitochondrial
1832
+
1833
+ 459
1834
+ 00:35:53,930 --> 00:35:58,050
1835
+ DNA ูŠุนู†ูŠ ุงุญู†ุง ุงู„ูƒู„ุงู… ุงู„ุณุงุจู‚ ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ูˆ ุงู„
1836
+
1837
+ 460
1838
+ 00:35:58,050 --> 00:36:03,050
1839
+ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ูƒู„ู†ุง ุทุจุนุง ู†ู‚ุตุฏ ุงู„ genome DNA
1840
+
1841
+ 461
1842
+ 00:36:03,050 --> 00:36:07,070
1843
+ ุทูŠุจ ุงู„ุฃู† ุฒูŠ ู…ุง ุญู†ุนุฑููŠู† ุฃู† ููŠ ุนู†ุฏู†ุง ุงู„
1844
+
1845
+ 462
1846
+ 00:36:07,070 --> 00:36:09,170
1847
+ mitochondrial DNA
1848
+
1849
+ 463
1850
+ 00:36:11,140 --> 00:36:16,040
1851
+ ุทุจุนุงู‹ ุงู„ู€ size ู„ู€ ุงู„ู€ mitochondrial DNA ูŠุนู†ูŠ ุตุบูŠุฑ
1852
+
1853
+ 464
1854
+ 00:36:16,040 --> 00:36:22,080
1855
+ ู„ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุฏุฑุงุณุงุช ู„ู‚ูˆุง ุฃู† ุงู„ู€ mitochondrial DNA
1856
+
1857
+ 465
1858
+ 00:36:22,080 --> 00:36:28,160
1859
+ is associated with multiple types of cancer ูˆูŠู„ู‡
1860
+
1861
+ 466
1862
+ 00:36:28,160 --> 00:36:31,100
1863
+ ุนู„ุงู‚ุฉ ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ููŠ ุงู„ู€ mitochondrial
1864
+
1865
+ 467
1866
+ 00:36:31,100 --> 00:36:36,340
1867
+ DNA ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ formationุŒ ุงู„growth ูˆ ุฃูŠุถุง ุงู„
1868
+
1869
+ 468
1870
+ 00:36:36,340 --> 00:36:42,370
1871
+ metastases ู„ุชูŠูˆู…ุฑ cells ุงู„ mitochondrial DNALacks
1872
+
1873
+ 469
1874
+ 00:36:42,370 --> 00:36:46,350
1875
+ histones and has a lower capacity for DNA repair
1876
+
1877
+ 470
1878
+ 00:36:46,350 --> 00:36:50,910
1879
+ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุจุฒูŠุฏ ุงู„ู…ุดูƒู„ุฉุŒ ู…ุด ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA
1880
+
1881
+ 471
1882
+ 00:36:50,910 --> 00:36:54,110
1883
+ ุงู„ู€ Nuclear DNA ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง Defense
1884
+
1885
+ 472
1886
+ 00:36:54,110 --> 00:36:57,610
1887
+ MechanismsุŒ ููŠ ุนู†ุฏู†ุง Repair Mechanisms ู…ูˆุฌูˆุฏุฉุŒ ู„ูƒู†
1888
+
1889
+ 473
1890
+ 00:36:57,610 --> 00:37:01,930
1891
+ ุจุงู„ู†ุณุจุฉ ู„ู€Mitochondrial DNA ุชู…ุงู…ุŒ has a lower
1892
+
1893
+ 474
1894
+ 00:37:01,930 --> 00:37:06,950
1895
+ capacity for DNA repair ูˆุจุงู„ุชุงู„ูŠ ู…ุดูƒู„ุฉ ุฃูˆ ุฃู† ูŠุตูŠุฑ
1896
+
1897
+ 475
1898
+ 00:37:06,950 --> 00:37:10,250
1899
+ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑุŒ mutations ูˆุชุบูŠุฑ ููŠ ุงู„ู€
1900
+
1901
+ 476
1902
+ 00:37:10,250 --> 00:37:15,220
1903
+ Mitochondrial DNAุฃูƒุจุฑ making it susceptible to a
1904
+
1905
+ 477
1906
+ 00:37:15,220 --> 00:37:19,550
1907
+ mutationCurrently, the role of mitochondrial DNA
1908
+
1909
+ 478
1910
+ 00:37:19,550 --> 00:37:22,370
1911
+ mutations in cancer initiation is controversial.
1912
+
1913
+ 479
1914
+ 00:37:22,710 --> 00:37:26,550
1915
+ ู„ูŠุณ ู‡ู†ุงูƒ ุฅุฌู…ุงุน ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚ ุจู€ mutations ุงู„ู„ูŠ
1916
+
1917
+ 480
1918
+ 00:37:26,550 --> 00:37:31,070
1919
+ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial DNA ูˆุญุฏูˆุซ ุงู„ู€ cancer ู„ูƒู†
1920
+
1921
+ 481
1922
+ 00:37:31,070 --> 00:37:36,170
1923
+ ููŠ ุนู†ุฏู†ุง ุชู‚ุฑูŠุฑ ู…ู‡ู… ุชู… ู†ุดุฑู‡ ููŠ ุงู„ู€ Science Journal
1924
+
1925
+ 482
1926
+ 00:37:36,170 --> 00:37:41,490
1927
+ ูˆู‡ูŠ ุทุจุนุง ูŠุนู†ูŠ ู…ุฌู„ุฉ ุนุฑูŠู‚ุฉ ูˆุชู†ุดุฑ ููŠู‡ุง ุงู„ุฃุจุญุงุซ ุงู„ู…ู‡ู…ุฉ
1928
+
1929
+ 483
1930
+ 00:37:42,110 --> 00:37:45,310
1931
+ ู‡ุฐุง ุงู„ู€ report presents evidence that specific
1932
+
1933
+ 484
1934
+ 00:37:45,310 --> 00:37:48,670
1935
+ mitochondrial DNA mutations can increase the
1936
+
1937
+ 485
1938
+ 00:37:48,670 --> 00:37:53,290
1939
+ ability of cancer cells to spread ููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
1940
+
1941
+ 486
1942
+ 00:37:53,290 --> 00:37:56,550
1943
+ ูŠุนู„ู† ุฅู† ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial
1944
+
1945
+ 487
1946
+ 00:37:56,550 --> 00:38:02,190
1947
+ DNA ุจุชุฒูŠุฏ ู…ู† ู‚ุฏุฑุฉ ุงู„ cancer ุนู„ู‰ ุงู„ุงู†ุชุดุงุฑ ูˆ ุฅุญุฏุงุซ
1948
+
1949
+ 488
1950
+ 00:38:02,190 --> 00:38:05,390
1951
+ metastases ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ููŠู‡ุง ููŠ
1952
+
1953
+ 489
1954
+ 00:38:05,390 --> 00:38:10,500
1955
+ ุงู„ู…ุญุงุถุฑุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ carcinogenic agentsุจุนุถ ู…ุฌู…ูˆุนุงุช
1956
+
1957
+ 490
1958
+ 00:38:10,500 --> 00:38:17,100
1959
+ ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ุชู… ุงูƒุชุดุงูู‡ุง ูˆู…ู† ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ููŠู†ุง
1960
+
1961
+ 491
1962
+ 00:38:17,100 --> 00:38:23,500
1963
+ ุงู„ุฑุงุฏูŠุงุดู† ุงู„ูƒู…ูŠูƒุงู„ุงุช ุงู„ุงู†ููƒุดูุงุช ูˆุงู„ุจุงุซูˆุฌูŠู† ูˆุนู†ุง
1964
+
1965
+ 492
1966
+ 00:38:23,500 --> 00:38:28,600
1967
+ ู…ุฌู…ูˆุนุงุช ุงู†ุฏูˆุฌู†ุณูŠุฉ ู…ุนูŠู†ุฉ ูŠุจู‚ู‰ ุฏูˆู„ ุจุนุถ ู…ุฌู…ูˆุนุงุช
1968
+
1969
+ 493
1970
+ 00:38:28,600 --> 00:38:35,000
1971
+ ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ูˆุญู†ุญูƒูŠ ุนู„ู‰ ุงู„ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู‡ุฐู‡ ูˆุงุญุฏุฉ
1972
+
1973
+ 494
1974
+ 00:38:35,000 --> 00:38:41,430
1975
+ ูˆุงุญุฏุฉ ุงู„ุฑุงุฏูŠุงุดู† ู‡ูŠ ุงู„ุทุงู‚ุฉุจุชุญู…ู„ ุทุงู‚ุฉ ูˆุฅุฐุง ูƒุงู† ุตุงุฑ
1976
+
1977
+ 495
1978
+ 00:38:41,430 --> 00:38:46,990
1979
+ ููŠ ุนู†ุฏู†ุง ุงุณุชุถุงู… ู„ ุงู„ waves ุงู„ radiation waves ู…ุน
1980
+
1981
+ 496
1982
+ 00:38:46,990 --> 00:38:52,990
1983
+ ุงู„ุฎู„ุงูŠุง ูˆุจุดูƒู„ ุฎุงุต ุทุจุนุง ู…ุน ุงู„ genome ู…ุน ุงู„ DNA ุฅุฐุง
1984
+
1985
+ 497
1986
+ 00:38:52,990 --> 00:38:57,950
1987
+ ู…ู…ูƒู† ุงู„ุทุงู‚ุฉ ู‡ุฐู‡ ุชู†ุชู‚ู„ ู„ ุงู„ DNA ูˆุชุนู…ู„ูŠ damage ููŠ ุงู„
1988
+
1989
+ 498
1990
+ 00:38:57,950 --> 00:39:03,610
1991
+ DNA there are two forms of radiation energy
1992
+
1993
+ 499
1994
+ 00:39:03,610 --> 00:39:05,510
1995
+ traveling in waves
1996
+
1997
+ 500
1998
+ 00:39:07,860 --> 00:39:15,200
1999
+ ูˆุงู„ู„ูŠ ุจุชุดู…ู„ ุงู„ู€ Gamma Rays ูˆุงู„ู€ X-Rays ูˆุนู†ุง ุงู„
2000
+
2001
+ 501
2002
+ 00:39:15,200 --> 00:39:19,320
2003
+ stream of atomic particles ู„ุฅู…ุง radiation
2004
+
2005
+ 502
2006
+ 00:39:19,320 --> 00:39:24,570
2007
+ travelling in waves ุฃูˆstream of atomic particles ูˆ
2008
+
2009
+ 503
2010
+ 00:39:24,570 --> 00:39:28,190
2011
+ ุงู„ู„ูŠ ุจุชุดู…ู„ ุงู„ุฃู†ูˆุงุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Alpha ูˆ ุงู„ู€ Beta
2012
+
2013
+ 504
2014
+ 00:39:28,190 --> 00:39:32,650
2015
+ particles that are emitted by radioactive atoms
2016
+
2017
+ 505
2018
+ 00:39:32,650 --> 00:39:36,490
2019
+ Alpha particles comprise two protons and two
2020
+
2021
+ 506
2022
+ 00:39:36,490 --> 00:39:41,350
2023
+ neutrons ุจูŠู†ู…ุง ุงู„ู€ Beta particles comprise
2024
+
2025
+ 507
2026
+ 00:39:41,350 --> 00:39:45,650
2027
+ electrons ุทุจ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ figure ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูˆุถุญ
2028
+
2029
+ 508
2030
+ 00:39:45,650 --> 00:39:49,760
2031
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุนูŠุฉ ู…ู† ุงู„ radiationุฒู‰ ู…ุง ู‚ู„ู†ุง ุงู†ู‡ ููŠ
2032
+
2033
+ 509
2034
+ 00:39:49,760 --> 00:39:54,940
2035
+ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ู„ู‰ ู‡ูˆ ู…ุซุงู„ Alpha ูˆ Beta ุงู„ู„ู‰ ุจูŠูƒูˆู†
2036
+
2037
+ 510
2038
+ 00:39:54,940 --> 00:40:00,940
2039
+ ุนู„ู‰ ุดูƒู„ particles ูˆููŠ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ุขุฎุฑ ุงู„ู„ู‰ ุฒู‰
2040
+
2041
+ 511
2042
+ 00:40:00,940 --> 00:40:06,880
2043
+ Gamma ุงู„ู„ู‰ ุนุจุงุฑุฉ ุนู† waves ูˆุทุจุนุง ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
2044
+
2045
+ 512
2046
+ 00:40:06,880 --> 00:40:15,270
2047
+ ู…ู† ุงู„ radiation ุฎุฏุฑุชู‡ุง ุนู„ู‰ุงู„ุงุฎุชุฑุงู‚ ู„ุฃุฌุณุงู… ุงู„ู…ุฎุชู„ูุฉ
2048
+
2049
+ 513
2050
+ 00:40:15,270 --> 00:40:20,890
2051
+ ุทุจุนุง ู…ุฎุชู„ู ูŠุนู†ูŠ ุฃู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ alpha ู…ู…ูƒู†
2052
+
2053
+ 514
2054
+ 00:40:20,890 --> 00:40:24,410
2055
+ paper or a few centimeters of air stops alpha
2056
+
2057
+ 515
2058
+ 00:40:24,410 --> 00:40:30,170
2059
+ particles ู„ูƒู† ู…ุด ู‡ูŠู‚ุฏุฑ ูŠูˆุฌู ุงู„ beta particles ูˆ ุงู„
2060
+
2061
+ 516
2062
+ 00:40:30,170 --> 00:40:33,990
2063
+ beta particles ู…ู…ูƒู† ูŠูˆุฌูู‡ุง ู„ูˆุงุญุฏ centimeter of
2064
+
2065
+ 517
2066
+ 00:40:33,990 --> 00:40:39,610
2067
+ aluminium stops beta particlesู„ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูƒุซุฑ
2068
+
2069
+ 518
2070
+ 00:40:39,610 --> 00:40:43,330
2071
+ ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงุฎุชุฑุงู‚ ู‡ูˆ ุงู„ู€ Gamma ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ุทุจุนุง
2072
+
2073
+ 519
2074
+ 00:40:43,330 --> 00:40:46,370
2075
+ ูŠุฎุช๏ฟฝ๏ฟฝู‚ ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ meter of air ุฃูˆ ูˆุงุญุฏ centimeter
2076
+
2077
+ 520
2078
+ 00:40:46,370 --> 00:40:52,530
2079
+ of aluminium ู„ูƒู† ุทุจุนุง ูŠุนู†ูŠ ุบูŠุฑ ู‚ุงุฏุฑ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ
2080
+
2081
+ 521
2082
+ 00:40:52,530 --> 00:40:57,550
2083
+ ุงุฎุชุฑุงู‚ several centimeter of lead ุฃูˆ one meter of
2084
+
2085
+ 522
2086
+ 00:40:57,550 --> 00:41:00,830
2087
+ concrete ุงู„ both forms of radiation can damage DNA
2088
+
2089
+ 523
2090
+ 00:41:00,830 --> 00:41:07,270
2091
+ and act as carcinogens ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠู†ุงุงู„ุฑุงุฏูŠุงุดู† ู‡ูˆ
2092
+
2093
+ 524
2094
+ 00:41:07,270 --> 00:41:11,650
2095
+ ุนุจุงุฑุฉ ุนู† ุฅู†ุฑุฌูŠ ูˆ ุงู„ู€ amount of energy released by
2096
+
2097
+ 525
2098
+ 00:41:11,650 --> 00:41:14,710
2099
+ a particular radiation source affects the
2100
+
2101
+ 526
2102
+ 00:41:14,710 --> 00:41:17,790
2103
+ mechanism and extent of damage to DNA
2104
+
2105
+ 527
2106
+ 00:41:35,760 --> 00:41:42,980
2107
+ ุจุชู… ุชุญุฑูŠุฑู‡ุง ู…ู† ู‡ุฐู‡ ุงู„ radiation ูˆ ุจุชู†ุทุณ ููŠ ุงู„ body
2108
+
2109
+ 528
2110
+ 00:41:42,980 --> 00:41:48,280
2111
+ tissue ู‡ุฐู‡ ุจู†ู‚ูŠุณู‡ุง ููŠ in grades ูˆ ุชุนุฑูŠู ุงู„ grade
2112
+
2113
+ 529
2114
+ 00:41:48,280 --> 00:41:51,600
2115
+ when a grade is released to the body tissue of one
2116
+
2117
+ 530
2118
+ 00:41:51,600 --> 00:41:56,580
2119
+ joule of energy per one kilogram of tissue ุทูŠุจ
2120
+
2121
+ 531
2122
+ 00:41:56,580 --> 00:42:05,600
2123
+ ุงู„ุฃู‡ู… ู…ู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ุจุชู… ุงู…ุชุตุงุตู‡ุง ู‡ูˆูƒู…ูŠุฉ ุงู„ู€
2124
+
2125
+ 532
2126
+ 00:42:05,600 --> 00:42:10,800
2127
+ damage ุงู„ู„ูŠ ู…ู…ูƒู† ุชุญุฏุซู‡ุง ู‡ุฐู‡ ุงู„ุทุงู‚ุฉ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูˆ
2128
+
2129
+ 533
2130
+ 00:42:10,800 --> 00:42:18,020
2131
+ ุงู„ุฃู‡ู… ุชู…ุงู…ุŒ ู„ูŠุณ ู…ู‡ู… ูŠุฏูŠู‡ุด ูƒู…ูŠุฉ ุทุงู‚ุฉ ุจูŠุชู… ุงู…ุชุตุงุตู‡ุง
2132
+
2133
+ 534
2134
+ 00:42:18,020 --> 00:42:24,540
2135
+ ู…ู† ู‚ุจู„ ุงู„ุฌุณู… ูˆู„ูƒู† how much damage is done when the
2136
+
2137
+ 535
2138
+ 00:42:24,540 --> 00:42:28,840
2139
+ radiation has been absorbed ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃู‡ู…
2140
+
2141
+ 536
2142
+ 00:42:28,840 --> 00:42:34,970
2143
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉูŠู…ุชุตู‚ุชุดู‡ ุจุณุจุจ ู†ูˆุน radiation
2144
+
2145
+ 537
2146
+ 00:42:34,970 --> 00:42:41,490
2147
+ ูŠูƒูˆู† ุฃุนู„ูŠ ู„ูƒู† ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ radiation ู…ู…ูƒู† ูƒู…ูŠุฉ
2148
+
2149
+ 538
2150
+ 00:42:41,490 --> 00:42:46,850
2151
+ ุงู„ุทุงู‚ุฉ ุชูƒูˆู† ุฃู‚ู„ ู„ูƒู† ุงู„ damage ุงู„ู„ูŠ ุชุญุฏุซ ู‡ุฐู‡ ุงู„
2152
+
2153
+ 539
2154
+ 00:42:46,850 --> 00:42:51,690
2155
+ radiation ุชูƒูˆู† ุฃุนู„ู‰ ูŠุจู‚ู‰ amount of damage caused
2156
+
2157
+ 540
2158
+ 00:42:51,690 --> 00:42:56,290
2159
+ ุงู„ุขู† ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠุญุฏุฏ ุงู„ damage ุงู„ู„ูŠ ู‡ุชุญุฏุซ ู‡ุฐู‡ ุงู„
2160
+
2161
+ 541
2162
+ 00:42:56,290 --> 00:43:02,390
2163
+ radiation ู‡ุฐุง ุจูŠุชู…ุฏ ุนู„ู‰The rate at which a
2164
+
2165
+ 542
2166
+ 00:43:02,390 --> 00:43:06,630
2167
+ particular radiation source releases energy ูŠุจู‚ู‰
2168
+
2169
+ 543
2170
+ 00:43:06,630 --> 00:43:14,730
2171
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ู€ release ู„ู„ุฅู†ุฑุฌูŠ ูƒู„ ู…ุง ูƒุงู† ุงู„ rate of
2172
+
2173
+ 544
2174
+ 00:43:14,730 --> 00:43:21,110
2175
+ release of energy is higher ูƒู„ ู…ุง ูƒุงู† ุฅู† ุงู„ุฏู…ุฌ
2176
+
2177
+ 545
2178
+ 00:43:21,110 --> 00:43:25,990
2179
+ ุงู„ู„ูŠ ู‡ุชุญุฏุซู‡ ู‡ุฏูŠ ุงู„ energy ุฃูˆ ุงู„ radiation ุฃูƒุจุฑ
2180
+
2181
+ 546
2182
+ 00:43:27,740 --> 00:43:31,080
2183
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุตุงุฏุฑ ุงู„ุชู‡ูŠุฆูŠุฉ ุชุทุฑุญ ุทุงู‚ุฉ ุจุณุฑุนุฉ ุนุงู„ูŠุฉ
2184
+
2185
+ 547
2186
+ 00:43:31,080 --> 00:43:39,100
2187
+ ูู‡ูŠ ุชุณุจุจ ุฃูƒุชุฑ ุชุฏู…ูŠุฑ ู…ู† ู…ุตุงุฏุฑ ุชุทุฑุญEnergy more
2188
+
2189
+ 548
2190
+ 00:43:39,100 --> 00:43:43,700
2191
+ slowly ูˆ ุงู„ rate of energy release ู…ู…ูƒู† ูŠุชู…
2192
+
2193
+ 549
2194
+ 00:43:43,700 --> 00:43:48,260
2195
+ ุงู„ุชุนุจูŠุฑ ุนู†ู‡ ุนู† ุทุฑูŠู‚ ุงู„ linear energy transfer ุฃูˆ
2196
+
2197
+ 550
2198
+ 00:43:48,260 --> 00:43:51,620
2199
+ LET ุงู„ linear energy transfer is used to help
2200
+
2201
+ 551
2202
+ 00:43:51,620 --> 00:43:56,220
2203
+ describe the rate at which energy is released by a
2204
+
2205
+ 552
2206
+ 00:43:56,220 --> 00:44:02,660
2207
+ radiation source as it travels a fixed distance ูˆ
2208
+
2209
+ 553
2210
+ 00:44:02,660 --> 00:44:06,250
2211
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู…ู…ูƒู† ู†ู‚ุณู… ุงู„ radiation ุฅู„ู‰ highLinear
2212
+
2213
+ 554
2214
+ 00:44:06,250 --> 00:44:10,750
2215
+ Energy Transfer Radiation ุฃูˆ Low Linear Energy
2216
+
2217
+ 555
2218
+ 00:44:10,750 --> 00:44:16,470
2219
+ Transfer Radiation ุงู„ู€ High Linear Energy Transfer
2220
+
2221
+ 556
2222
+ 00:44:16,470 --> 00:44:19,910
2223
+ Radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุนู…ู„ Release
2224
+
2225
+ 557
2226
+ 00:44:19,910 --> 00:44:25,810
2227
+ ู„ูƒู…ูŠุฉ ูƒุจูŠุฑุฉ ู…ู† ุงู„ู€ energy ููŠ ูˆู‚ุช ู‚ุตูŠุฑ ูŠุจู‚ู‰ emits
2228
+
2229
+ 558
2230
+ 00:44:25,810 --> 00:44:31,670
2231
+ more energy ูˆุจุงู„ุชุงู„ูŠ causes more biological damage
2232
+
2233
+ 559
2234
+ 00:44:31,670 --> 00:44:35,870
2235
+ ูˆุนู†ุง ู…ุซู„ ุงู„ู€ Alpha ParticlesุจูŠู†ู…ุง ุงู„ู€ Low Linear
2236
+
2237
+ 560
2238
+ 00:44:35,870 --> 00:44:40,550
2239
+ Energy Transfer ู‡ุฐู‡ ุงู„ู†ูˆุน ู…ู† ุงู„ู€ radiation ุงู„ู„ูŠ ู‡ูˆ
2240
+
2241
+ 561
2242
+ 00:44:40,550 --> 00:44:46,890
2243
+ it emits less energy ูˆุจุงู„ุชุงู„ูŠ causes less damage
2244
+
2245
+ 562
2246
+ 00:44:46,890 --> 00:44:49,610
2247
+ ูˆู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ X-ray
2248
+
2249
+ 563
2250
+ 00:44:52,250 --> 00:44:55,750
2251
+ ุทุจุนุง ุงู„ radiation ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ high linear energy
2252
+
2253
+ 564
2254
+ 00:44:55,750 --> 00:44:59,110
2255
+ transfer radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ุชุนู…ู„ damage ู„ู‚ู‰
2256
+
2257
+ 565
2258
+ 00:44:59,110 --> 00:45:03,710
2259
+ ุงู„ DNA ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุง double-stranded DNA breaks
2260
+
2261
+ 566
2262
+ 00:45:03,710 --> 00:45:07,650
2263
+ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ chromosomal translocations
2264
+
2265
+ 567
2266
+ 00:45:07,650 --> 00:45:09,670
2267
+ ุฃูˆ deletions
2268
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/8p5-r1DL99o_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/8p5-r1DL99o_raw.srt ADDED
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1
+ 1
2
+ 00:00:01,430 --> 00:00:06,490
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุณุชูƒู…ู„ ู…ุน ู…ุญุงุถุฑุงุช Molecular
4
+
5
+ 2
6
+ 00:00:06,490 --> 00:00:12,610
7
+ Biology of Cancer ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ุซุงู†ูŠุฉ ุจุนู†ูˆุงู† DNA
8
+
9
+ 3
10
+ 00:00:12,610 --> 00:00:18,310
11
+ Structure and Stability Mutations vs Repair ุงู„
12
+
13
+ 4
14
+ 00:00:18,310 --> 00:00:23,680
15
+ outline ู„ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ู‡ูŠ introductionูˆุจุนุฏูŠู†
16
+
17
+ 5
18
+ 00:00:23,680 --> 00:00:26,780
19
+ ุงู„ุฃุฌุฒุงุก ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู…ุญุงุถุฑุฉ Two parts of the gene
20
+
21
+ 6
22
+ 00:00:26,780 --> 00:00:30,040
23
+ regulatory region and the coding region mutations
24
+
25
+ 7
26
+ 00:00:30,040 --> 00:00:35,000
27
+ carcinogenic agents DNA repair and predispositions
28
+
29
+ 8
30
+ 00:00:35,000 --> 00:00:38,460
31
+ to cancer conventional therapies chemotherapy and
32
+
33
+ 9
34
+ 00:00:38,460 --> 00:00:42,120
35
+ radiation therapy ูˆstrategies that target DNA
36
+
37
+ 10
38
+ 00:00:42,120 --> 00:00:47,440
39
+ repair pathways ูˆู†ุจุฏุฃ ุจุงู„ู…ู‚ุฏู…ุฉ
40
+
41
+ 11
42
+ 00:00:49,100 --> 00:00:52,480
43
+ Genetic information coded with DNA requires
44
+
45
+ 12
46
+ 00:00:52,480 --> 00:00:58,660
47
+ stability ูˆุฒูŠ ู…ุง ุงุชูู‚ู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†ู‡
48
+
49
+ 13
50
+ 00:00:58,660 --> 00:01:03,100
51
+ Cancer is a disease of the genome ุงู„ู…ุดูƒู„ุฉ ุจุชุตูŠุฑ
52
+
53
+ 14
54
+ 00:01:03,100 --> 00:01:08,220
55
+ ููŠู‡ุง ุนู†ุฏู†ุง ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ DNA ูˆุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ genes
56
+
57
+ 15
58
+ 00:01:08,220 --> 00:01:12,580
59
+ ุงู„ู…ุฎุชู„ูุฉ ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ุจุดูƒู„ ุฃุณุงุณูŠ ุงู„ู€ oncogenes ูˆ ุงู„
60
+
61
+ 16
62
+ 00:01:12,580 --> 00:01:17,460
63
+ tumor suppressor genes ูŠุจู‚ู‰ ุฃูŠ ุชุบูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€
64
+
65
+ 17
66
+ 00:01:17,460 --> 00:01:21,400
67
+ genomeุทุจุนุง ู„ูˆ ุงู„ุชุบูŠุฑ ูƒุงู† ููŠ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
68
+
69
+ 18
70
+ 00:01:21,400 --> 00:01:26,640
71
+ ุจุฑุถู‡ ุจุงู„ processes ุงู„ู„ูŠ ุจุชุชุญูƒู… ุจุชุชุญูƒู… ุจุนุฏุฏ ุงู„ุฎู„ุงูŠุง
72
+
73
+ 19
74
+ 00:01:26,640 --> 00:01:31,220
75
+ ุงู„ู…ูˆุฌูˆุฏ ุฃู‚ู„ ูˆุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุชุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„
76
+
77
+ 20
78
+ 00:01:31,220 --> 00:01:34,420
79
+ growth ุนู†ุฏู†ุง ุงู„apoptosis ูˆุนู†ุฏู†ุง ุงู„ differentiation
80
+
81
+ 21
82
+ 00:01:35,170 --> 00:01:39,350
83
+ ูŠุจู‚ู‰ ู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ุทูŠุจ ุงู„ุขู† ูุนู„ูŠุง
84
+
85
+ 22
86
+ 00:01:39,350 --> 00:01:46,270
87
+ ุงู„ DNA ู‡ู„ ู‡ูˆ ูŠุนู†ูŠ ููŠ ู…ุนุฒู„ ุนู† ุงู„ factors ุงู„ู…ุฎุชู„ูุฉ
88
+
89
+ 23
90
+ 00:01:46,270 --> 00:01:50,190
91
+ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุชุบูŠุฑุงุช ููŠ ุงู„ genomeุŸ ุทุจุนุง ู„ุฃ
92
+
93
+ 24
94
+ 00:01:50,190 --> 00:01:54,790
95
+ ูˆุฅู† ุงู„ุฌูŠู†ุงุช ูุนู„ูŠุง are subject to countless attacks
96
+
97
+ 25
98
+ 00:01:54,790 --> 00:01:58,430
99
+ by both environmental agents and endogenous
100
+
101
+ 26
102
+ 00:01:58,430 --> 00:02:02,590
103
+ processesู‡ูˆ ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ุงู„ู€ attacks ู…ุฎุชู„ูุฉ ุณูˆุงุก
104
+
105
+ 27
106
+ 00:02:02,590 --> 00:02:05,930
107
+ ู…ู† ุฎุงุฑุฌ ุงู„ุฌุณู… ูŠุนู†ูŠ ุฒูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู…ู…ูƒู† ุงู„
108
+
109
+ 28
110
+ 00:02:05,930 --> 00:02:10,030
111
+ carcinogens ุงู„ู…ุฎุชู„ูุฉ ุงู„ chemicals ุงู„ู…ุฎุชู„ูุฉ ุนู†ุฏู†ุง
112
+
113
+ 29
114
+ 00:02:10,030 --> 00:02:15,550
115
+ ุงู„ ุงู„ UV ูˆ ุฃูŠุถู‹ุง ุจุฑุถู‡ ู…ู† ุฏุงุฎู„ ุงู„ุฌุณู… ูŠุจู‚ู‰ ุงู„ ุงู„
116
+
117
+ 30
118
+ 00:02:15,550 --> 00:02:17,850
119
+ environmental agents ุงู„ู„ูŠ ู‡ูŠ exogenous ูˆ ุนู†ุฏู†ุง
120
+
121
+ 31
122
+ 00:02:17,850 --> 00:02:22,450
123
+ ุฃูŠุถู‹ุง ุงู„ endogenous ุงู„ processes ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุฏุงุฎู„
124
+
125
+ 32
126
+ 00:02:22,450 --> 00:02:26,490
127
+ ุงู„ุฌุณู…ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ุงู„ุงุฑุชูุงุน ู…ู…ูƒู† ููŠ ุงู„ู€Reactive
128
+
129
+ 33
130
+ 00:02:26,490 --> 00:02:30,270
131
+ Oxygen Species ูˆุงู„ุถุฑุฑ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุญุฏุซู‡
132
+
133
+ 34
134
+ 00:02:30,270 --> 00:02:37,370
135
+ ู„ู€Macromolecules ุฒูŠ ุงู„ู€DNA ูˆุฒูŠ ุงู„ู€Lipids ุชู…ุงู…ุŒ
136
+
137
+ 35
138
+ 00:02:37,370 --> 00:02:41,630
139
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ attacks ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ูŠู†ุชุฌ
140
+
141
+ 36
142
+ 00:02:41,630 --> 00:02:47,640
143
+ ุนู†ู‡ุง a mutation ุฃูˆ ูŠู†ุชุฌ ุนู†ู‡ุงdecision ู„ ุงู„ DNA
144
+
145
+ 37
146
+ 00:02:47,640 --> 00:02:51,220
147
+ cancer is a disease that involves alterations to
148
+
149
+ 38
150
+ 00:02:51,220 --> 00:02:55,820
151
+ gene structure ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู† ูŠุนู†ูŠ ู†ุญูƒูŠ ุจุงุฎุชุตุงุฑ
152
+
153
+ 39
154
+ 00:02:55,820 --> 00:02:59,000
155
+ ุนู† ุงู„ mutations ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ูŠุจู‚ู‰ ู…ู…ูƒู†
156
+
157
+ 40
158
+ 00:02:59,000 --> 00:03:03,780
159
+ ูŠุตูŠุฑ ููŠ ุนู†ุง ุชุบูŠูŠุฑ ู„ ุงู„ gene structure ู„ูƒู† ุฃูŠุถุง
160
+
161
+ 41
162
+ 00:03:03,780 --> 00:03:08,300
163
+ ู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ ุนู†ุง ุชุบูŠูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ gene
164
+
165
+ 42
166
+ 00:03:08,300 --> 00:03:11,600
167
+ expression ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ุด ุดุฑุท ุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง
168
+
169
+ 43
170
+ 00:03:12,120 --> 00:03:18,380
171
+ imutation ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง cancer ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุง
172
+
173
+ 44
174
+ 00:03:18,380 --> 00:03:22,740
175
+ ุชุบูŠูŠุฑ ู„ ุงู„ gene expression ูˆ ุงู„ู„ูŠ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู…ู†
176
+
177
+ 45
178
+ 00:03:22,740 --> 00:03:26,980
179
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู† ุงู„ epigenetics ู„ุฃู†ู‡
180
+
181
+ 46
182
+ 00:03:26,980 --> 00:03:31,170
183
+ ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ epigenetics ูŠุตูŠุฑ ููŠ ุนู†ุงsilencing
184
+
185
+ 47
186
+ 00:03:31,170 --> 00:03:36,150
187
+ ู„ุฌูŠู† ู…ุนูŠู† ูŠุนู†ูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ ุนู†ุฏู†ุง ุงู„ุฌูŠู†ุงุช
188
+
189
+ 48
190
+ 00:03:36,150 --> 00:03:38,590
191
+ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู…ุฑุฉ ุงู„ูุงุชุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจุฑุงูƒุงุฌูŠู†
192
+
193
+ 49
194
+ 00:03:38,590 --> 00:03:42,410
195
+ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ DNA repair
196
+
197
+ 50
198
+ 00:03:42,410 --> 00:03:48,130
199
+ ุงู„ุขู† ูˆุฌุฏูˆุง ุงู†ู‡ ููŠ ุจุนุถ ุญุงู„ุงุช ุงู„ breast cancer ู…ุงููŠุด
200
+
201
+ 51
202
+ 00:03:48,130 --> 00:03:53,750
203
+ ุฃูŠ mutation ููŠ ุงู„ุจุฑุงูƒุงุฌูŠู† ู„ูƒู† ูˆุฌุฏูˆุง ุงู†ู‡ ููŠ ุนู†ุฏู†ุง
204
+
205
+ 52
206
+ 00:03:53,750 --> 00:03:58,510
207
+ ุจูŠุตูŠุฑ silencing ู„ู„ุจุฑุงูƒุงุฌูŠู†
208
+
209
+ 53
210
+ 00:04:00,650 --> 00:04:05,230
211
+ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ methylation ู…ุซู„ุง ูŠุจู‚ู‰
212
+
213
+ 54
214
+ 00:04:05,230 --> 00:04:08,850
215
+ ุนู†ุฏู†ุง alteration ู„ุง ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene
216
+
217
+ 55
218
+ 00:04:08,850 --> 00:04:13,650
219
+ structure ู„ูƒู† ุจุฑุถู‡ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ gene expression
220
+
221
+ 56
222
+ 00:04:13,650 --> 00:04:17,650
223
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง silencing ู„ุง tumor
224
+
225
+ 57
226
+ 00:04:17,650 --> 00:04:23,330
227
+ suppressor genes ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
228
+
229
+ 58
230
+ 00:04:23,330 --> 00:04:27,090
231
+ accumulation of mutations ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู‡
232
+
233
+ 59
234
+ 00:04:27,090 --> 00:04:30,720
235
+ alteration ู„ุง gene structureูˆ ู…ู…ูƒู† ุจุฑุถู‡ ูŠุตูŠุฑ ููŠ
236
+
237
+ 60
238
+ 00:04:30,720 --> 00:04:35,840
239
+ ุนูŠู†ู†ุง one of cell catastrophic events may also
240
+
241
+ 61
242
+ 00:04:35,840 --> 00:04:38,720
243
+ generate mutations that underlie carcinogenesis
244
+
245
+ 62
246
+ 00:04:38,720 --> 00:04:44,280
247
+ called chromothripsis ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ูƒู…ุงู† ุดูˆูŠุฉ ูˆ
248
+
249
+ 63
250
+ 00:04:44,280 --> 00:04:49,520
251
+ chromo ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุจุชุนู†ูŠ chromosome ูˆthripsis
252
+
253
+ 64
254
+ 00:04:49,520 --> 00:04:55,490
255
+ ุจุชุนู†ูŠ breaking into small piecesูˆู‡ุฐุง ูุนู„ูŠุงู‹ ุงู„ู„ูŠ
256
+
257
+ 65
258
+ 00:04:55,490 --> 00:05:00,230
259
+ ุจูŠุตูŠุฑ ุจูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ ูƒุงุฑุซุฉ ููŠ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐู‡ ุชุคุฏูŠ ุฅู„ู‰
260
+
261
+ 66
262
+ 00:05:00,230 --> 00:05:08,610
263
+ ุนุดุฑุงุช ุจู„ ู…ุฆุงุช ู…ู…ูƒู† ู…ู† ูŠุนู†ูŠ ุงู„ุชูƒุณุฑ ู„ู„ูƒุฑู…ุฒูˆู…ุงุช ุนุดุฑุงุช
264
+
265
+ 67
266
+ 00:05:08,610 --> 00:05:13,750
267
+ ุฃูˆ ู…ุฆุงุช ู…ู† ุงู„ู‚ุทุนุฉ ุทูŠุจ ุฅุฐุง ูƒุงู† ู‡ุฐุง ูุนู„ูŠุง ุงู„ู…ูˆุฌูˆุฏ
268
+
269
+ 68
270
+ 00:05:13,750 --> 00:05:17,310
271
+ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู† ุงู„ุฎู„ุงูŠุง ู…ุนุฑุถุฉ ู„ู„ tags ุงู„ู„ูŠ ู‡ูˆ
272
+
273
+ 69
274
+ 00:05:17,310 --> 00:05:21,710
275
+ exogenous ูˆ endogenousูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ุฃู† ูŠูƒูˆู† ููŠ
276
+
277
+ 70
278
+ 00:05:21,710 --> 00:05:26,850
279
+ ุนู†ุฏู†ุง ุงู„ู…ุณุชูˆูŠุงุช ูˆุงู„ุชุบูŠุฑุงุช ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู…
280
+
281
+ 71
282
+ 00:05:26,850 --> 00:05:31,810
283
+ ุงู„ูƒุจูŠุฑุฉ ุทุจุนุง ุฒูŠ ู…ุง ููŠ ุนู†ุฏู†ุง attacks ููŠ ุนู†ุฏู†ุง ุจุฑุถู‡
284
+
285
+ 72
286
+ 00:05:31,810 --> 00:05:36,370
287
+ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ุงูŠุง ููŠ ุนู†ุฏู†ุง defense mechanisms ูููŠ
288
+
289
+ 73
290
+ 00:05:36,370 --> 00:05:42,350
291
+ ุนู†ุฏู†ุง ุฎุทูˆุท ุฏูุงุน ุจุชุนู…ู„ detection ู„ุฃูŠ ุชุบูŠุฑุงุช ุนู„ู‰
292
+
293
+ 74
294
+ 00:05:42,350 --> 00:05:49,440
295
+ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ูˆู… ูˆุจุชุนู…ู„ ุงู„ repair ุงู„ู„ุงุฒู…ุงู„ู€ cells are
296
+
297
+ 75
298
+ 00:05:49,440 --> 00:05:54,120
299
+ equipped with defense mechanisms against mutations
300
+
301
+ 76
302
+ 00:05:54,120 --> 00:06:01,030
303
+ ุฃูŠุถู‹ุง ู„ุฃู† ุงู„ู€ defense mechanism ู…ู‡ู…ุฉูˆุญูƒูŠู†ุง ุนู„ูŠู‡ุง
304
+
305
+ 77
306
+ 00:06:01,030 --> 00:06:05,590
307
+ ุจุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุฃู†ู‡ ู„ู…ุง ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutation
308
+
309
+ 78
310
+ 00:06:05,590 --> 00:06:11,230
311
+ ุฃูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ genome ุฃูˆ ุชุบูŠุฑุงุช ููŠ ุงู„ genome ู…ู† ุงู„
312
+
313
+ 79
314
+ 00:06:11,230 --> 00:06:14,730
315
+ defense mechanisms ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง cell cycle
316
+
317
+ 80
318
+ 00:06:14,730 --> 00:06:19,410
319
+ arrest ุฃูˆ pausing ู„ุฃ ุงู„ cell cycle ุจูŠุนู†ู‰ ุจุชุชูˆู‚ู ุงู„
320
+
321
+ 81
322
+ 00:06:19,410 --> 00:06:23,630
323
+ cell cycle ุงูŠู‡ ุจุชุชูˆู‚ู ุงู„ cell cycle ุนุดุงู† ุชุนุทูŠ ูุฑุตุฉ
324
+
325
+ 82
326
+ 00:06:23,770 --> 00:06:29,210
327
+ ู„ู€ Repair Mechanisms ุฅู†ู‡ุง ุงู„ุชู…ุจ ุจุนุฏ ู‡ูŠูƒ ุทุจุนุง ุฎุท
328
+
329
+ 83
330
+ 00:06:29,210 --> 00:06:32,710
331
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฏูุงุน ุงู„ุฃุฎูŠุฑ ุฅุฐุง ูƒุงู† ู…ุงุตุงุฑุด ููŠ ุนู†ุง repair
332
+
333
+ 84
334
+ 00:06:32,710 --> 00:06:37,190
335
+ ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุง induction ู„-apoptosis
336
+
337
+ 85
338
+ 00:06:37,190 --> 00:06:41,450
339
+ ุทุจุนุง ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ูŠุนุชุจุฑ hard line defense ูŠุนู†ูŠ
340
+
341
+ 86
342
+ 00:06:41,450 --> 00:06:45,730
343
+ ุงู„ุฎุท ุงู„ุฏูุงุน ุงู„ุฃุตุนุจ ู„ุฃู† ู‡ุฐุง ุจูŠุคุฏูŠ ุทุจุนุง ุฅู„ู‰ ุงู„ู…ูˆุช
344
+
345
+ 87
346
+ 00:06:45,730 --> 00:06:50,740
347
+ ุงู„ู…ุฏุฑู…ุฌ ู„ุฎู„ูŠุฉุชู…ุงู… can be triggered as a last
348
+
349
+ 88
350
+ 00:06:50,740 --> 00:06:55,220
351
+ resort ู‡ูˆ ุฏุงูŠู…ุง ุงู„ุฎูŠุงุฑ ุงู„ุฃุฎูŠุฑ ุจุงู„ุฃูˆู„ ุงู„ุฎู„ูŠุฉ ุจุชุญุงูˆู„
352
+
353
+ 89
354
+ 00:06:55,220 --> 00:06:59,760
355
+ ุงู†ู‡ุง ุชุตู„ุญ ุงู†ู‡ ุชุนู…ู„ repair ู…ุงู†ุญุชุด ุนู…ู„ูŠุฉ ุงู„ repair
356
+
357
+ 90
358
+ 00:07:00,810 --> 00:07:04,030
359
+ ูŠุจู‚ู‰ ุงู„ุญู„ ุงู„ุฃุฎูŠุฑ ุฅู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ induction
360
+
361
+ 91
362
+ 00:07:04,030 --> 00:07:08,210
363
+ ู„ู€apoptosis ููŠ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ู†ุชุฎู„ุต ู…ู† ุงู„ุฎู„ูŠุฉ
364
+
365
+ 92
366
+ 00:07:08,210 --> 00:07:14,470
367
+ ูˆู†ุชุฎู„ุต ู…ู† ุงู„ mutations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ DNA ู„ุฃู†ู‡
368
+
369
+ 93
370
+ 00:07:14,470 --> 00:07:17,630
371
+ ู„ูˆ ู…ุงุตุงุฑุด apoptosis ู…ุนู†ุงุชู‡ ุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ู…ูƒู† ูŠุตูŠุฑ
372
+
373
+ 94
374
+ 00:07:17,630 --> 00:07:22,410
375
+ ู„ู‡ุง proliferation ูˆูŠู…ูƒู† ูŠุชุทูˆุฑ ุงู„ุฃู…ุฑ ุฅู„ู‰ ุญุฏูˆุซ
376
+
377
+ 95
378
+ 00:07:22,410 --> 00:07:25,630
379
+ cancer ุทูŠุจ ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‚ู„ู†ุงู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ู‡ูˆ
380
+
381
+ 96
382
+ 00:07:25,630 --> 00:07:27,570
383
+ two parts of the genome ููŠ ุนู†ุฏู†ุง ุงู„ regulatory
384
+
385
+ 97
386
+ 00:07:27,570 --> 00:07:30,610
387
+ region and the coding region
388
+
389
+ 98
390
+ 00:07:38,450 --> 00:07:41,230
391
+ ุงู„ู†ูƒู„ูŠูˆุชุงูŠุฏ ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ู†ูƒู„ูŠูˆุชุงูŠุฏ ุณูŠูƒูˆุงู†ุณูŠุฒ at
392
+
393
+ 99
394
+ 00:07:41,230 --> 00:07:46,730
395
+ the five prime end of the gene ูˆ ู‡ุฐู‡ ุงู„ ู†ูƒู„ูŠูˆุชุงูŠุฏ
396
+
397
+ 100
398
+ 00:07:46,730 --> 00:07:50,190
399
+ ุณูŠูƒูˆุงู†ุณูŠุฒ involved in regulating the expression of
400
+
401
+ 101
402
+ 00:07:50,190 --> 00:07:54,050
403
+ the gene ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ promoter region ุงู„ู„ูŠ ุจุชู„ุนุจ
404
+
405
+ 102
406
+ 00:07:54,050 --> 00:08:00,550
407
+ ุฏูˆุฑ ููŠ ุงู„ expression ู„ ุงู„ุฌูŠู†ู‡ุฐู‡ ุงู„ู€ 5' ู†ูŠูƒุฑูˆุชูŠุชุณ
408
+
409
+ 103
410
+ 00:08:00,550 --> 00:08:06,310
411
+ ุชุชุนุงู…ู„ ู…ุน ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชุคุซุฑ ุนู„ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ RNA
412
+
413
+ 104
414
+ 00:08:06,310 --> 00:08:15,430
415
+ polymerase ู„ุฅู†ุฌุงุฒ ุฌูŠู† ู…ุนูŠู† ู„ุงุฒู… ูŠูƒูˆู† ู‡ู†ุง ุนู…ู„ูŠุฉ
416
+
417
+ 105
418
+ 00:08:15,430 --> 00:08:20,050
419
+ ุงู„ุชุฑุงู†ุณูƒุฑูŠุจุดู† ูˆุนู…ู„ูŠุฉ ุงู„ุชุฑุงู†ุณูƒุฑูŠุจุดู† ู‡ุฐู‡ ุชุญุชุงุฌ ุฅู„ู‰
420
+
421
+ 106
422
+ 00:08:20,050 --> 00:08:26,490
423
+ ุงุฑุชุจุงุท ุงู„ู€ RNA polymeraseุนู†ุฏ ุงู„ู€ gene ุฃูˆ ู‚ุจู„ ุงู„ู€
424
+
425
+ 107
426
+ 00:08:26,490 --> 00:08:31,590
427
+ gene ุงู„ู„ูŠ ุงุญู†ุง ุงู„ู„ูŠ ุจุฏูŠูˆุตู„ ู„ู‡ expression ูˆุฅู†ุชุงุฌ
428
+
429
+ 108
430
+ 00:08:31,590 --> 00:08:37,710
431
+ ู„ู†ุณุฎุฉ ู…ู† ุงู„ messenger RNA ูŠุจู‚ู‰ ุงู„ ุงู„ ุงู„ promoter
432
+
433
+ 109
434
+ 00:08:37,710 --> 00:08:42,510
435
+ region ู‡ุฐู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠุฌูŠุจ ูŠุฑุชุจุท ู…ุนุงู‡ุง ุจุฑูˆุชูŠู†ุงุช
436
+
437
+ 110
438
+ 00:08:43,730 --> 00:08:48,010
439
+ ูˆุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ุจุชุณู‡ู„ ุจุนุฏ ู‡ูŠูƒ ุงุฑุชุจุงุท ุงู„ RNA
440
+
441
+ 111
442
+ 00:08:48,010 --> 00:08:52,390
443
+ polymerase ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„
444
+
445
+ 112
446
+ 00:08:52,390 --> 00:08:57,270
447
+ transcription ูˆ ุชุตู†ูŠุน
448
+
449
+ 113
450
+ 00:08:57,270 --> 00:09:03,150
451
+ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุฎุฉ ู…ู† ุงู„ messenger RNA ุฌุฒุก ู…ู† ุงู„
452
+
453
+ 114
454
+ 00:09:03,150 --> 00:09:07,850
455
+ promoter regions ููŠ ุนู†ุฏู†ุง ุงู„ data box ุงู„ู„ูŠ ุจุชูƒูˆู†
456
+
457
+ 115
458
+ 00:09:07,850 --> 00:09:12,300
459
+ ู…ูˆุฌูˆุฏุฉ near the start site of transcriptionูˆุงู„ู€
460
+
461
+ 116
462
+ 00:09:12,300 --> 00:09:14,360
463
+ data box ุชุนุชุจุฑ one of the most important
464
+
465
+ 117
466
+ 00:09:14,360 --> 00:09:20,320
467
+ regulatory elements for most genes ูŠุจู‚ู‰ ุฒูŠ ู…ุง ู‚ู„ู†ุง
468
+
469
+ 118
470
+ 00:09:20,320 --> 00:09:22,760
471
+ ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ two parts ู„ุฌูŠู† ุนู†ุฏู†ุง ุงู„
472
+
473
+ 119
474
+ 00:09:22,760 --> 00:09:26,680
475
+ promoter region ูˆุงู„ู„ูŠ ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
476
+
477
+ 120
478
+ 00:09:26,680 --> 00:09:32,140
479
+ ุงู„ู…ุณุคูˆู„ุฉ ุทุจุนุง ุนู† ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช ู…ุฎุชู„ูุฉ ูˆุทุจุนุง
480
+
481
+ 121
482
+ 00:09:32,140 --> 00:09:36,020
483
+ ุจุงู„ู†ู‡ุงูŠุฉ ุงุฑุชุจุงุท ุงู„ุฃุฑุงู†ูŠ polymerase ุนุดุงู† ุจุนุฏูƒ ูŠุตูŠุฑ
484
+
485
+ 122
486
+ 00:09:36,020 --> 00:09:41,200
487
+ ููŠ ุนู†ุฏู†ุง ูุนู„ูŠุง ุงู„ transcriptionู„ุงู„ูˆ ุงู„ coding
488
+
489
+ 123
490
+ 00:09:41,200 --> 00:09:44,480
491
+ sequences ูˆ ูŠู†ุชุฌ ุนู†ุฏู†ุง messenger learning ูˆ ุจุนุฏ
492
+
493
+ 124
494
+ 00:09:44,480 --> 00:09:51,220
495
+ ู‡ูŠูƒ ุชู… ุชุฑุฌู…ุชู‡ ุฅู„ู‰ protein ูˆ
496
+
497
+ 125
498
+ 00:09:51,220 --> 00:09:56,180
499
+ ู…ุฑุฉ ุฃุฎุฑู‰ ูˆ ุตูˆุฑุฉ ุฃูˆุถุญ ุดูˆูŠุฉ ุทุจุนุง ุฃูƒูŠุฏ ู‡ุชุงุฎุฏูˆุง ู…ูˆุถูˆุน
500
+
501
+ 126
502
+ 00:09:56,180 --> 00:10:00,360
503
+ ู„ู„ .. ู„ู„ .. ู„ู„ transcription ูˆ ุงู„ translation ุฃูƒูŠุฏ
504
+
505
+ 127
506
+ 00:10:00,360 --> 00:10:04,320
507
+ ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„ ูŠุนู†ูŠ ู‡ู† .. ุงุญู†ุง ุจู†ุญูƒูŠ
508
+
509
+ 128
510
+ 00:10:04,320 --> 00:10:11,370
511
+ ุจุงุฎุชุตุงุฑ ุนู†ุฏู†ุง ุงู„ promoterregion ุฒูŠ ู…ุง ุญูƒูŠู†ุง ูˆุนู†ุง
512
+
513
+ 129
514
+ 00:10:11,370 --> 00:10:18,150
515
+ ุจุนุฏ ู‡ูŠูƒ ุทุจุนุง ุงู„ RNA coding region ูˆูŠู‚ูˆู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ
516
+
517
+ 130
518
+ 00:10:18,150 --> 00:10:21,210
519
+ ุงู„ promoter ูˆูŠู† ุจูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ูˆู‚ูˆู„ู†ุง ุงู„ู„ูŠ
520
+
521
+ 131
522
+ 00:10:21,210 --> 00:10:25,230
523
+ ู‡ูˆ ุงู„ data box ุฏู‡ ุฌุฒุก ู…ู…ูƒู† ู…ู‡ู… ู…ู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„
524
+
525
+ 132
526
+ 00:10:25,230 --> 00:10:30,410
527
+ promoters ู…ู…ูƒู† ูŠุฑุชุจุท ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุชุนู„ู‰ ุงู„ู€
528
+
529
+ 133
530
+ 00:10:30,410 --> 00:10:34,070
531
+ Promoter Region ูˆู‡ุฐุง ูŠุนู…ู„ Recruiting ู„ุจุฑูˆุชูŠู†ุงุช
532
+
533
+ 134
534
+ 00:10:34,070 --> 00:10:37,770
535
+ ุฃุฎุฑู‰ ุงู„ู„ูŠ ู‡ูˆ ูŠุณุชุฏุนูŠ ุฃูˆ ูŠุคุฏูŠ ุฅู„ู‰ ุงุฑุชุจุงุท ุจุฑูˆุชูŠู†ุงุช
536
+
537
+ 135
538
+ 00:10:37,770 --> 00:10:42,010
539
+ ุฃุฎุฑู‰ ุนู„ู‰ ุงู„ู€ Promoter Region ูˆู‡ุฐุง ูƒู„ู‡ ุจุงู„ู†ู‡ุงูŠุฉ
540
+
541
+ 136
542
+ 00:10:42,010 --> 00:10:46,310
543
+ ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท ุงู„ู€ RNA Polymerase ุนุดุงู† ุชุตุจุญ ูุนู„ูŠู‹ุง
544
+
545
+ 137
546
+ 00:10:46,310 --> 00:10:50,610
547
+ ุนู…ู„ูŠุฉ ุงู„ู€ Transcription ูˆุฅู†ุชุงุฌ ู„ู†ุณุฎุฉ ู…ู† ุงู„ู€
548
+
549
+ 138
550
+ 00:10:50,610 --> 00:10:55,430
551
+ Messenger RNA ุงู„ุขู†
552
+
553
+ 139
554
+ 00:10:55,430 --> 00:11:01,920
555
+ ุฃู†ุง ุถู…ู† ุงู„ู€ Promoterregion short sequence of DNA
556
+
557
+ 140
558
+ 00:11:01,920 --> 00:11:04,660
559
+ within the promoter that is recognized by a
560
+
561
+ 141
562
+ 00:11:04,660 --> 00:11:09,180
563
+ specific protein and contributes to the regulation
564
+
565
+ 142
566
+ 00:11:09,180 --> 00:11:14,260
567
+ of the gene ูˆู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุชุณู…ู‰ response element ุฃูˆ
568
+
569
+ 143
570
+ 00:11:14,260 --> 00:11:21,120
571
+ RE ู‡ูŠ ุฌุฒุก ู…ู† ุงู„ promoter ูˆู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ promoter
572
+
573
+ 144
574
+ 00:11:21,120 --> 00:11:26,380
575
+ ุงู„ู„ูŠ ูŠุณู…ู‰ response element ูˆูŠุฑุชุจุท ู…ุน specific
576
+
577
+ 145
578
+ 00:11:26,380 --> 00:11:32,270
579
+ proteinุฃู‡ ุงู„ู„ูŠ ู‡ูˆ transcription factors ูˆุฒูŠ ู…ุง
580
+
581
+ 146
582
+ 00:11:32,270 --> 00:11:34,190
583
+ ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู„ transcription factors ูˆ ุงู„
584
+
585
+ 147
586
+ 00:11:34,190 --> 00:11:37,550
587
+ activation ู„ ุงู„ transcription factors ูˆ ุฏูˆุฑู‡ุง ููŠ
588
+
589
+ 148
590
+ 00:11:37,550 --> 00:11:41,730
591
+ ุงู„ expression ู„ ุงู„ genes ุงู„ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰
592
+
593
+ 149
594
+ 00:11:41,730 --> 00:11:45,950
595
+ transcription factors ุจุชุฑุชุจุท ู…ุนุงู„ู€ Response
596
+
597
+ 150
598
+ 00:11:45,950 --> 00:11:51,150
599
+ Element ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠุณุชุฏุนูŠ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
600
+
601
+ 151
602
+ 00:11:51,150 --> 00:11:55,650
603
+ ุจุชุฑุชุจุท ุนู„ู‰ ุงู„ู€ Promoter Region ูˆุจุงู„ู†ู‡ุงูŠุฉ ุทุจุนุง
604
+
605
+ 152
606
+ 00:11:55,650 --> 00:12:00,250
607
+ ุงุณุชุฏุนุงุก ู„ู„ู€ RNA Polymerase ูˆ Transcription ู„ู‡ุฐุง
608
+
609
+ 153
610
+ 00:12:00,250 --> 00:12:05,630
611
+ ุงู„ุฌูŠู† ุทุจุนุง ุฃู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ Response Element ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:12:05,630 --> 00:12:12,850
615
+ ู…ูˆุฌูˆุฏุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุงููŠ ุงู„ู€ promoter region ุฃูˆ ููŠ ุงู„ู€
616
+
617
+ 155
618
+ 00:12:12,850 --> 00:12:19,100
619
+ enhancer regionูˆ ู‡ุฐู‡ ุงู„ response elements ุจูŠุฑุชุจุท
620
+
621
+ 156
622
+ 00:12:19,100 --> 00:12:22,520
623
+ ู…ุนู‡ุง ุงู„ุจุฑูˆุชูŠู†ุงุช ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุจูŠู‡ูŠุฆ ู„ุงุฑุชุจุงุท
624
+
625
+ 157
626
+ 00:12:22,520 --> 00:12:26,500
627
+ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ูˆ ุจุงู„ู†ู‡ุงูŠุฉ ุงู„ RNA polymerase ูˆ ุทุจุนุง
628
+
629
+ 158
630
+ 00:12:26,500 --> 00:12:30,400
631
+ ุนู†ุฏู†ุง ุฃู…ุซู„ุฉ ุนุฏูŠุฏุฉ ุนู„ู‰ ุงู„ response elements ูŠุนู†ูŠ ููŠ
632
+
633
+ 159
634
+ 00:12:30,400 --> 00:12:32,840
635
+ ุนู†ุฏู†ุง ุงู„ thyroid hormone response element ุน ุณุจูŠู„
636
+
637
+ 160
638
+ 00:12:32,840 --> 00:12:35,760
639
+ ุงู„ู…ุซุงู„ ููŠ ุนู†ุฏู†ุง ุงู„ vitamin D response elements
640
+
641
+ 161
642
+ 00:12:35,760 --> 00:12:40,800
643
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุชุฑุชุจุท ู…ุน ุทุจุนุง ุงู„ receptors ุงู„ุฎุงุตุฉ
644
+
645
+ 162
646
+ 00:12:40,800 --> 00:12:44,360
647
+ ุจุงู„ู‡ุฑู…ูˆู†ุงุช ุฒูŠ ุงู„ thyroid ุฃูˆ ุฒูŠ ุงู„ vitamin Dุนู†ุฏ
648
+
649
+ 163
650
+ 00:12:44,360 --> 00:12:47,940
651
+ ุงุฑุชุจุงุท ุงู„ู‡ุฑู…ูˆู† ู…ุน ู‡ุฐุง ุงู„ู€ Receptor ุงู„ู€ Receptor
652
+
653
+ 164
654
+ 00:12:47,940 --> 00:12:51,080
655
+ ุงู„ู„ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู† ุจูŠุฌูŠ ูˆ ุจูŠุฑุชุจุท ู…ุน ุงู„ู€
656
+
657
+ 165
658
+ 00:12:51,080 --> 00:12:55,380
659
+ response element ูˆุจูŠุนู…ู„ ุนู„ู‰ expression ู„ู€ genes
660
+
661
+ 166
662
+ 00:12:55,380 --> 00:13:00,420
663
+ ู…ุนูŠู†ุฉ ุฃูŠุถุง ููŠู†ุง ุงู„ response element for a protein
664
+
665
+ 167
666
+ 00:13:00,420 --> 00:13:03,300
667
+ that is essential for the regulation of the cell
668
+
669
+ 168
670
+ 00:13:03,300 --> 00:13:09,430
671
+ cycleุงู„ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู€ transcription factor E to F
672
+
673
+ 169
674
+ 00:13:09,430 --> 00:13:14,170
675
+ ูŠุจู‚ู‰ ุงู„ู€ E to F transcription factor ูˆุจูŠุฑุชุจุท ุนู„ู‰
676
+
677
+ 170
678
+ 00:13:14,170 --> 00:13:21,370
679
+ response element ูˆ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุนู‡ุง ุทุจุนุง
680
+
681
+ 171
682
+ 00:13:21,370 --> 00:13:26,870
683
+ ููŠ ู…ู†ุทู‚ุฉ ุงู„ promoter ุงู„ู€ E to F ุงู„ู„ูŠ ู„ุนู„ุงู‚ุฉ ุจูŠู‡ ุฃูˆ
684
+
685
+ 172
686
+ 00:13:26,870 --> 00:13:30,330
687
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Cycline E ูˆ ุงู„ู€ Cycline A
688
+
689
+ 173
690
+ 00:13:30,330 --> 00:13:37,860
691
+ genes ูˆ ุทุจุนุง ุงู„ ..ู‡ุฏูˆู„ ุนุจุงุฑุฉ ุนู† products which are
692
+
693
+ 174
694
+ 00:13:37,860 --> 00:13:42,660
695
+ major players in the cell cycle ูŠุจู‚ู‰ ุงู„ promoters
696
+
697
+ 175
698
+ 00:13:42,660 --> 00:13:48,580
699
+ ุงู„ู„ูŠ ู‡ุงู„cycline E ูˆ ุงู„cycline A genesู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง
700
+
701
+ 176
702
+ 00:13:48,580 --> 00:13:52,380
703
+ ุงู„ู„ูŠ ู‡ูˆ response element ุจูŠุฌูŠ ุจูŠุฑุทุจุท ุนู„ูŠู‡ ุงู„ E2F
704
+
705
+ 177
706
+ 00:13:52,380 --> 00:13:56,720
707
+ ุจุฑูˆุชูŠู† ูˆ ู‡ุฏูˆู„ ุทุจุนุง ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง expression ู„ู‡ุฐู‡
708
+
709
+ 178
710
+ 00:13:56,720 --> 00:14:00,840
711
+ ุงู„ genes ุงู„ู„ูŠ Cycline A ูˆ Cycline E ูˆ ุทุจุนุง ู‡ุฏูˆู„ ุงู„
712
+
713
+ 179
714
+ 00:14:00,840 --> 00:14:06,100
715
+ proteins ุงู„ู†ุงุชุฌูŠู† ุนู† ู‡ุฏูˆู„ ุงู„ genes ุจูŠู„ุนุจูˆุง ุฏูˆุฑ
716
+
717
+ 180
718
+ 00:14:06,100 --> 00:14:09,520
719
+ ุฃุณุงุณูŠ ููŠ ุงู„ cell cycle ูˆ ููŠ ุงู„ proliferation
720
+
721
+ 181
722
+ 00:14:09,520 --> 00:14:15,840
723
+ ู„ู„ุฎู„ุงูŠุงูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ุตูˆุฑุฉ ู‡ุฐู‡ ู‚ู„ู†ุง ุฅู†ู‡ ููŠ
724
+
725
+ 182
726
+ 00:14:15,840 --> 00:14:19,400
727
+ ุนู†ุฏู†ุง handle ูˆ promoter region ูˆููŠ ุญุงู„ ุงู„ cell
728
+
729
+ 183
730
+ 00:14:19,400 --> 00:14:23,340
731
+ cycle ููŠ ุนู†ุฏู†ุง response element ุงู„ู„ูŠ ุจูŠุฑุชุจุท ุนู„ูŠู‡
732
+
733
+ 184
734
+ 00:14:23,340 --> 00:14:30,540
735
+ ุงู„ E2F transcription factor ุงู„ E2F ุจุฑูˆุชูŠู† ูˆุงุฑุชุจุงุท
736
+
737
+ 185
738
+ 00:14:30,540 --> 00:14:35,240
739
+ ุงู„ E2F ุจุฑูˆุชูŠู† ู‡ุฐุง ุจูŠู„ุนุจ ุฏูˆุฑ ุทุจุนุง ููŠ ุงู„ expression
740
+
741
+ 186
742
+ 00:14:35,240 --> 00:14:41,570
743
+ ู„ู€ genesูˆ ุงู„ genes ู‡ุฐู‡ ุงู„ู‡ุง ุนู„ุงู‚ุฉ ููŠ ุทุจุนุง ู†ู‚ู„
744
+
745
+ 187
746
+ 00:14:41,570 --> 00:14:46,630
747
+ ุงู„ุฎู„ูŠุฉ ู…ู† ุงู„ .. ุจุงู„ cell cycle ู…ู† ุทุจุนุง ู…ุฑุญู„ุฉ ุฅู„ู‰
748
+
749
+ 188
750
+ 00:14:46,630 --> 00:14:50,650
751
+ ู…ุฑุญู„ุฉ ุฃุฎุฑู‰ ุทูŠุจ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ mutations most
752
+
753
+ 189
754
+ 00:14:50,650 --> 00:14:56,130
755
+ carcinogens are mutagensูˆู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
756
+
757
+ 190
758
+ 00:14:56,130 --> 00:14:59,530
759
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ู‚ูˆู„ู†ุง ู…ุด all carcinogens are
760
+
761
+ 191
762
+ 00:14:59,530 --> 00:15:04,150
763
+ mutagens ู„ุฃู† ุจุนุถ ุงู„ู€ carcinogens ู‚ูˆู„ู†ุง ุจุชุดุชุบู„ ุนู†
764
+
765
+ 192
766
+ 00:15:04,150 --> 00:15:07,570
767
+ ุทุฑูŠู‚ ุงู„ู€ epigenetics ูˆ silencing ู„ุฌูŠู† ุฒูŠ
768
+
769
+ 193
770
+ 00:15:07,570 --> 00:15:13,310
771
+ ุงู„ุชูŠูˆุจุฑุณุงุจุฑูŠุณุงุฌูŠู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ these agents
772
+
773
+ 194
774
+ 00:15:13,310 --> 00:15:20,300
775
+ induce mutations either bymodifying DNA ุจู‡ุฐู‡ ุงู„
776
+
777
+ 195
778
+ 00:15:20,300 --> 00:15:24,420
779
+ chemicals ุงู„ู„ูŠ ูŠุชุนุชุจุฑ carcinogens ู…ู…ูƒู† ุชุนู…ู„
780
+
781
+ 196
782
+ 00:15:24,420 --> 00:15:29,560
783
+ modification ู„ ุงู„ DNA ู…ู…ูƒู† ุชูŠุฌูŠ ูˆ ุชุฑุชุจุท ู…ุน ุงู„
784
+
785
+ 197
786
+ 00:15:29,560 --> 00:15:36,490
787
+ nucleotides ุนู„ู‰ ุงู„ DNA ูˆ ุชุนู…ู„ ู…ุง ูŠุณู…ู‰ ุจุงู„ DNAุฃุฏูƒุช
788
+
789
+ 198
790
+ 00:15:36,490 --> 00:15:41,470
791
+ ูˆ ุงู„ DNA adduct ู‡ูˆ ุนุจุงุฑุฉ ุนู† covalent modification
792
+
793
+ 199
794
+ 00:15:41,470 --> 00:15:45,510
795
+ ุจูŠู† ุงู„ DNA ูˆุจูŠู† ุงู„ carcinogen ุฃูˆ ุงู„ chemical ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:15:45,510 --> 00:15:49,330
799
+ ู‡ูˆ ุจูŠุนุชุจุฑ carcinogen ูˆุนู†ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„
800
+
801
+ 201
802
+ 00:15:49,330 --> 00:15:55,030
803
+ acetaldehyde ู…ู…ูƒู† ูŠูŠุฌูŠ ูŠุฑุชุจุท ู…ุน ู„ูŠุฌูˆุงู†ูŠ ูˆูŠุนู…ู„ ู„ูŠ
804
+
805
+ 202
806
+ 00:15:55,030 --> 00:15:59,770
807
+ single strand break ุฃูˆ point a mutation ุนู†ุฏ ู†ู‚ุทุฉ
808
+
809
+ 203
810
+ 00:15:59,770 --> 00:16:03,700
811
+ ุงู„ุฅุฑุชุจุงุทุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ุดูƒู„ุฉ ุฃู† ู‡ุฐุง ุงู„
812
+
813
+ 204
814
+ 00:16:03,700 --> 00:16:07,920
815
+ chemical ุฃูˆ ุงู„ carcinogen ุจูŠุฑุชุจุท ู…ุน ุงู„ DNA ุจูŠุนู…ู„
816
+
817
+ 205
818
+ 00:16:07,920 --> 00:16:12,520
819
+ ู…ุง ูŠุณู…ู‰ ุจุงู„ DNA adduct ูˆู‡ุฐุง ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ single
820
+
821
+ 206
822
+ 00:16:12,520 --> 00:16:19,280
823
+ strand break ุฃูˆ ูŠู†ุชุฌ ุนู†ู‡ point mutation ูŠุจู‚ู‰
824
+
825
+ 207
826
+ 00:16:19,280 --> 00:16:23,840
827
+ causing chromosomal damage ุงู„ู„ูŠ ู‡ูˆ ุงู„ DNA strand
828
+
829
+ 208
830
+ 00:16:23,840 --> 00:16:31,010
831
+ breaksTypes of mutations include ุนู†ุฏู†ุง transitions
832
+
833
+ 209
834
+ 00:16:31,010 --> 00:16:37,710
835
+ Transversions ู„ุชุฑุงู†ุฒูŠุดู† ุทุจุนุง ุงู„ู„ูŠ ุจูŠุญุตู„ ููŠ ุนู†ุฏู†ุง
836
+
837
+ 210
838
+ 00:16:37,710 --> 00:16:45,830
839
+ Substitution ู„ู€ Nucleotide ุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ูƒุงู† ุฃุฎุฑู‰ ูˆ
840
+
841
+ 211
842
+ 00:16:45,830 --> 00:16:51,790
843
+ ู‡ุงู† ุจูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง Purine ุจุชุญู„ ู…ุญู„ Purine ุนู„ู‰ ุณุจูŠู„
844
+
845
+ 212
846
+ 00:16:51,790 --> 00:16:52,230
847
+ ุงู„ู…ุซุงู„
848
+
849
+ 213
850
+ 00:16:56,940 --> 00:17:02,680
851
+ ุฃูˆ ู…ู…ูƒู† Pyrimidin ู…ูƒุงู† Pyrimidin ุจูŠู†ู…ุง ุงู„
852
+
853
+ 214
854
+ 00:17:02,680 --> 00:17:07,840
855
+ Transvergence ุฃู†ู‡ุง substitution of a purine for a
856
+
857
+ 215
858
+ 00:17:07,840 --> 00:17:12,160
859
+ pyrimidin or vice versa ูŠุจู‚ู‰ Purine ู…ุญู„ Pyrimidin
860
+
861
+ 216
862
+ 00:17:12,160 --> 00:17:16,540
863
+ ุฃูˆ Pyrimidin ู…ุญู„ Purine ุฃู†ู‡ ุฃูŠุถุง ู…ู† ุฃู†ูˆุงุน
864
+
865
+ 217
866
+ 00:17:16,540 --> 00:17:20,840
867
+ ุงู„ู…ูŠูˆุชุงุดู†ุฒ ุงู„ insertions, deletions ูˆ chromosomal
868
+
869
+ 218
870
+ 00:17:20,840 --> 00:17:22,220
871
+ translocations
872
+
873
+ 219
874
+ 00:17:23,920 --> 00:17:29,380
875
+ ู‡ุฐุง ุงู„ figure ุจูŠูˆุถุญ ุงู„ DNA Adduct ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุตูŠุฑ
876
+
877
+ 220
878
+ 00:17:29,380 --> 00:17:32,360
879
+ ุทุจุนุง ุจูŠู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ chemical ุฃูˆ
880
+
881
+ 221
882
+ 00:17:32,360 --> 00:17:37,420
883
+ carcinogen ู…ุน ุงู„ DNA ูˆู‡ูŠ ุงู† ุงู† ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงู„ ุขุฎุฑ
884
+
885
+ 222
886
+ 00:17:37,420 --> 00:17:43,100
887
+ ุนู„ู‰ carcinogenุงู„ูˆ ุงู„ PAH Polycyclic Aromatic
888
+
889
+ 223
890
+ 00:17:43,100 --> 00:17:49,760
891
+ Hydrocarbons ุงู„ PAH ู…ู…ูƒู† ูŠุฑุชุจุท ู…ุน ุงู„ DNA ูˆ ูŠุนู…ู„
892
+
893
+ 224
894
+ 00:17:49,760 --> 00:17:54,900
895
+ ุจุฑุถู‡ DNA Adduct ูˆ ู‡ุฐุง ุทุจุนุง ุจุงู„ู†ู‡ุงูŠุฉ ู…ู…ูƒู† ูŠุญุฏุซ
896
+
897
+ 225
898
+ 00:17:54,900 --> 00:17:58,460
899
+ Single Strand Breaks ุงูˆ ู…ู…ูƒู† Double Strand Breaks
900
+
901
+ 226
902
+ 00:17:58,460 --> 00:18:02,200
903
+ ูˆ ู…ู…ูƒู† ูŠุญุฏุซ ุชุบูŠุฑุงุช ู…ุฎุชู„ูุฉ
904
+
905
+ 227
906
+ 00:18:06,470 --> 00:18:11,290
907
+ ู‡ุงู† ุจูŠูˆุถุญ ุงู„ types of mutations ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
908
+
909
+ 228
910
+ 00:18:11,290 --> 00:18:16,570
911
+ ุฅุฐุง ูƒุงู† ุงู„ sequence ู‡ุฐุง ู‡ูˆ ุงู„ original ูŠุจู‚ู‰ ุฒูŠ ู…ุง
912
+
913
+ 229
914
+ 00:18:16,570 --> 00:18:23,690
915
+ ู‚ู„ู†ุง ุงู„ transition ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ A ู…ุน G ุฃู‡
916
+
917
+ 230
918
+ 00:18:23,690 --> 00:18:27,090
919
+ Purine ุชู… ุงุณุชุจุฏุงู„ Purine ู…ุน Purine ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
920
+
921
+ 231
922
+ 00:18:27,090 --> 00:18:30,330
923
+ ู…ู…ูƒู† ูŠุชู… ุงุณุชุจุฏุงู„ Pyrimidine ู…ุน Pyrimidine ูŠุจู‚ู‰
924
+
925
+ 232
926
+ 00:18:30,330 --> 00:18:34,850
927
+ Purine ู…ุน Purine ุณูˆุงุก A to G ุฃูˆ G ู…ู…ูƒู† to A ู‡ุฐู‡
928
+
929
+ 233
930
+ 00:18:34,850 --> 00:18:41,040
931
+ ุชุณู…ู‰ Transitionูˆ ุฃูŠุถุง ุจุงู„ู†ุณุจุฉ ู„ู„ Pyrimidines C ู…ุน
932
+
933
+ 234
934
+ 00:18:41,040 --> 00:18:44,340
935
+ T ุณูŠุชูˆุฒูŠู† ู…ุน ุซุงูŠู…ูŠู† ุฃูˆ ุซุงูŠู…ูŠู† ู…ุน ุณูŠุชูˆุฒูŠู† ุจุฑุถู‡ ู‡ุฐู‡
936
+
937
+ 235
938
+ 00:18:44,340 --> 00:18:48,500
939
+ ุชุนุชุจุฑ transitions ูˆ ุงู„ Transversion ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง
940
+
941
+ 236
942
+ 00:18:48,500 --> 00:18:52,840
943
+ ูƒุงู† ุตุงุฑ ููŠ ุงุณุชุจุฏุงู„ ู„ Purine ู…ุน Pyrimidine ูŠุนู†ูŠ A
944
+
945
+ 237
946
+ 00:18:52,840 --> 00:18:59,580
947
+ ู…ุน C ุฃูˆ C ู…ุน A ุฃูˆ G ู…ุน T ุฃูˆ T ู…ุน G ุจู‡ุฐู‡ ุงู„
948
+
949
+ 238
950
+ 00:18:59,580 --> 00:19:03,920
951
+ Transversion ู„ุฃู†ู‡ ุจูŠุชู… ุงู„ุชุจุฏูŠู„ Pyrimidine ู…ุน
952
+
953
+ 239
954
+ 00:19:03,920 --> 00:19:08,980
955
+ Purine ุฃูˆ Purine ู…ุน PyrimidineIncession ุงู„ู„ู‰ ุจูŠุญุตู„
956
+
957
+ 240
958
+ 00:19:08,980 --> 00:19:14,860
959
+ ุนู†ุฏู†ุง ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุง ูˆDeletion ุงู„ู„ู‰ ุจูŠุญุตู„ ุนู†ุฏู†ุง
960
+
961
+ 241
962
+ 00:19:14,860 --> 00:19:19,620
963
+ ุฅุถุงูุฉ ู„ู†ูƒู„ูŠูˆุชูŠุฏุง ูˆู‡ุฐุง ูŠุคุฏูŠ ุจุงู„ุญุงู„ุชูŠู†
964
+
965
+ 242
966
+ 00:19:21,200 --> 00:19:24,640
967
+ ููŠ ุงู„ู€ deletion ูŠุคุฏูŠ ุฅู„ู‰ a frame shift mutation
968
+
969
+ 243
970
+ 00:19:24,640 --> 00:19:30,100
971
+ ูˆุญูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠูŠุฑ ุจุงู„ ุงู„ amino acids ูˆูŠู† ุตุงุฑ
972
+
973
+ 244
974
+ 00:19:30,100 --> 00:19:34,040
975
+ ููŠ ุนู†ุฏู†ุง ุงู„ insertion ุฃูˆ ููŠ ุงูˆ ูˆูŠู† ุตุงุฑ ุงู„ deletion
976
+
977
+ 245
978
+ 00:19:34,040 --> 00:19:39,040
979
+ ุงูŠ ุนู†ุฏู†ุง ุงูŠุถุง ุงู„ู…ุดูƒู„ุฉ ุงู„ chromosomal translocation
980
+
981
+ 246
982
+ 00:19:39,040 --> 00:19:41,380
983
+ ุงู„ู„ูŠ was the exchange of one part of one
984
+
985
+ 247
986
+ 00:19:41,380 --> 00:19:44,300
987
+ chromosome for another part of a different
988
+
989
+ 248
990
+ 00:19:44,300 --> 00:19:47,400
991
+ chromosome and results in changes of the base
992
+
993
+ 249
994
+ 00:19:47,400 --> 00:19:51,860
995
+ sequence of DNAูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ู‡ุงู† ุงู†ู‡ ุจูŠุตูŠุฑ
996
+
997
+ 250
998
+ 00:19:51,860 --> 00:19:57,600
999
+ ููŠู‡ู†ุง ุงุณุชุจุฏุงู„ ู„ู‚ุทุน ู…ู† ุงู„ูƒุฑู…ุฒูˆู… ู…ุน ู‚ุทุนุฉ ุฃุฎุฑู‰ ูŠุนู†ูŠ
1000
+
1001
+ 251
1002
+ 00:19:57,600 --> 00:20:01,440
1003
+ ู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุงู„ู…ูุฑูˆุถ ุจุชุนูˆุฏ ู„ู„ูƒุฑู…ุฒูˆู… ู‡ุฐุง ุงู„ู„ูŠ ุจุงู„ู„ูˆู†
1004
+
1005
+ 252
1006
+ 00:20:01,440 --> 00:20:06,000
1007
+ ุงู„ุฃุญู…ุฑ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑู…ุฒูˆู… ูˆู‡ุฐุง
1008
+
1009
+ 253
1010
+ 00:20:06,000 --> 00:20:11,240
1011
+ ุงู„ุฌุฒุก ู‡ูˆ ู…ูƒู…ู„ ู„ู‡ุฐุง ุงู„ูƒุฑู…ุฒูˆู…ููŠ ุญุงู„ ุงู„ูƒุฑู…ูˆุฒูˆู… ุจูŠุตูŠุฑ
1012
+
1013
+ 254
1014
+ 00:20:11,240 --> 00:20:15,880
1015
+ ููŠ ุนู†ุฏู†ุง ุงู†ุชู‚ุงู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจู‡ุฐู‡
1016
+
1017
+ 255
1018
+ 00:20:15,880 --> 00:20:19,200
1019
+ ุงู„ุญุงู„ุฉ ุงู†ู‡ ุตุงุฑ ู†ู‚ู„ ู„ุฌุฒุก ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ
1020
+
1021
+ 256
1022
+ 00:20:19,200 --> 00:20:23,020
1023
+ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ู„ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ูˆ
1024
+
1025
+ 257
1026
+ 00:20:23,020 --> 00:20:26,200
1027
+ ุงู„ู‚ุทุนุฉ ู…ู† ุงู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุจูŠุถ ุตุงุฑ ู„ู‡ุง
1028
+
1029
+ 258
1030
+ 00:20:26,200 --> 00:20:32,520
1031
+ ู†ู‚ู„ ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑ ูˆ ุทุจุนุง ุงู„ู…ุซุงู„
1032
+
1033
+ 259
1034
+ 00:20:32,520 --> 00:20:36,260
1035
+ ุงู„ุฃุดู‡ุฑ ู„ู„ูƒุฑู…ูˆุฒูˆู… ุงู„ translocation ููŠ ุนู†ุฏู†ุง ุงู„
1036
+
1037
+ 260
1038
+ 00:20:36,260 --> 00:20:39,350
1039
+ Philadelphiaุงู„ู€ chromosome ูˆ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง
1040
+
1041
+ 261
1042
+ 00:20:39,350 --> 00:20:44,430
1043
+ ุทุจุนุง involvement ู„ู€ chromosomes 9 ูˆ 22 ุทุจุนุง ุฒูŠ ู…ุง
1044
+
1045
+ 262
1046
+ 00:20:44,430 --> 00:20:49,690
1047
+ ุญูƒูŠู†ุง ุณุงุจู‚ุง ุงู†ู‡ ุนุดุงู† ุงู„ mutations ุชุคุฏูŠ ุงู„ู‰ cancer
1048
+
1049
+ 263
1050
+ 00:20:49,690 --> 00:20:54,450
1051
+ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุจุฏูˆุง ูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ุฌูŠู†ุงุช
1052
+
1053
+ 264
1054
+ 00:20:54,450 --> 00:20:58,630
1055
+ ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ ุงู„ processes ุงู„ู„ูŠ ุจุชุญุฏุฏ ุงู„ cell
1056
+
1057
+ 265
1058
+ 00:20:58,630 --> 00:21:03,340
1059
+ number ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญูƒูŠ ุนู„ู‰genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจู€
1060
+
1061
+ 266
1062
+ 00:21:03,340 --> 00:21:07,040
1063
+ mutations ููŠ genes ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ regulation
1064
+
1065
+ 267
1066
+ 00:21:07,040 --> 00:21:12,460
1067
+ ู„ู€ growth ู„ู€ differentiation ูˆ ุฃูŠุถุง ู„ู€ apoptosis ูˆ
1068
+
1069
+ 268
1070
+ 00:21:12,460 --> 00:21:15,200
1071
+ for most cancers different types of mutations
1072
+
1073
+ 269
1074
+ 00:21:15,200 --> 00:21:19,500
1075
+ accumulate over time within an individual cell and
1076
+
1077
+ 270
1078
+ 00:21:19,500 --> 00:21:23,060
1079
+ cause the cell to be transformed into a cancer
1080
+
1081
+ 271
1082
+ 00:21:23,060 --> 00:21:26,840
1083
+ cell ุชู…ุงู… ูˆ ุฒูŠ ู…ุง ุญูƒูŠ ุฃู†ุง ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
1084
+
1085
+ 272
1086
+ 00:21:26,840 --> 00:21:32,070
1087
+ ู‚ูˆู„ู†ุง ุงู† ุงู„ accumulation of mutationsุณุจุจ ู„ุญุฏูˆุซ ุงู„ู€
1088
+
1089
+ 273
1090
+ 00:21:32,070 --> 00:21:35,690
1091
+ Cancer ูˆู‚ูˆู„ู†ุง ุฅู†ู‡ ู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ูŠุนู†ูŠ ุนู„ู‰ ุงู…ุชุฏุงุฏ
1092
+
1093
+ 274
1094
+ 00:21:35,690 --> 00:21:40,170
1095
+ ุณู†ูˆุงุช ุนุฏูŠุฏุฉ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ุงู„ุณุจุจ ุฅู†ู‡ ูƒุจุงุฑ ุงู„ุณู†
1096
+
1097
+ 275
1098
+ 00:21:40,170 --> 00:21:44,130
1099
+ ุจุชูƒูˆู† ุนู†ุฏู†ุง ู†ุณุจุฉ ุงู„ุฅุตุงุจุฉ ุจู€ Cancer ุฃูƒุจุฑ ู…ู† ุงู„ูุฆุงุช
1100
+
1101
+ 276
1102
+ 00:21:44,130 --> 00:21:50,790
1103
+ ุงู„ุนู…ุฑูŠุฉ ุงู„ุฃุฎุฑู‰ ูˆู…ู† ู†ุงุญูŠุฉ ุชุงู†ูŠุฉ ุญูƒูŠู†ุง ุฅู†ู‡ ููŠ ุนู†ุฏู†ุง
1104
+
1105
+ 277
1106
+ 00:21:50,790 --> 00:21:56,150
1107
+ ุจุนุถ ุญุงู„ุงุช ุงู„ู€ Cancer ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุฃุนู…ุงุฑ ู…ุจูƒุฑุฉ
1108
+
1109
+ 278
1110
+ 00:21:56,150 --> 00:22:01,580
1111
+ ุฃูˆ ุนู†ุฏ ุงู„ุฃุทูุงู„ ุทูŠุจูƒูŠู ุงู„ู…ุดูƒู„ุฉ ุฏูŠ ู‡ุชุตูŠุฑุŸ ู…ู…ูƒู† ุชูƒูˆู†
1112
+
1113
+ 279
1114
+ 00:22:01,580 --> 00:22:06,060
1115
+ ุจุณุจุจ ู…ุง ูŠุณู…ู‰ ุจู€ Chromotripsis ูˆุนู†ุง Chromotripsis
1116
+
1117
+ 280
1118
+ 00:22:06,060 --> 00:22:12,590
1119
+ ุงูƒุชุฑ in 2-3% of cancersูˆ ู…ูˆุฌูˆุฏุฉ ุจู†ุณุจุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„
1120
+
1121
+ 281
1122
+ 00:22:12,590 --> 00:22:17,510
1123
+ bone cancer ุชู‚ุฑูŠุจุง 25% ู…ู† ุญุงู„ุงุช ุงู„ bone cancer
1124
+
1125
+ 282
1126
+ 00:22:17,510 --> 00:22:21,390
1127
+ ุจุชูƒูˆู† ุจุณุจุจ chromothripsis ูˆ ุทุจุนุง ุจูŠู‡ ุงู„
1128
+
1129
+ 283
1130
+ 00:22:21,390 --> 00:22:25,490
1131
+ chromothripsis ุจูŠุตูŠุฑ ููŠ ุนู†ุง rearrangement ู„ุนุฏุฏ ู…ู†
1132
+
1133
+ 284
1134
+ 00:22:25,490 --> 00:22:29,770
1135
+ ุงู„ูƒุฑู…ุฒูˆู…ุงุช ูˆุณุจุจ ุงู„ chromothripsisุทุจุนุง ุฒูŠ ู…ุง ู‚ู„ู†ุง
1136
+
1137
+ 285
1138
+ 00:22:29,770 --> 00:22:33,230
1139
+ ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠุงู†ุง catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1140
+
1141
+ 286
1142
+ 00:22:33,230 --> 00:22:38,210
1143
+ ุจูŠุตูŠุฑ ููŠุงู†ุง ูƒุงุฑุซุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆูŠุนู†ูŠ ูƒู…ุงู† ุดูˆูŠุฉ
1144
+
1145
+ 287
1146
+ 00:22:38,210 --> 00:22:43,330
1147
+ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ู†ุธุฑูŠุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชูˆุตู ุณุจุจ ุญุฏูˆุซ ุงู„
1148
+
1149
+ 288
1150
+ 00:22:43,330 --> 00:22:46,510
1151
+ chromotrips ูŠุจู‚ู‰ single event of chromotrips
1152
+
1153
+ 289
1154
+ 00:22:46,510 --> 00:22:49,870
1155
+ involving one or a few chromosomes leads to
1156
+
1157
+ 290
1158
+ 00:22:49,870 --> 00:22:54,130
1159
+ multiple gene rearrangementsูˆ ุจู‡ุฐุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง
1160
+
1161
+ 291
1162
+ 00:22:54,130 --> 00:22:59,050
1163
+ ุชุบูŠุฑุงุช ู„ genes ุนุฏูŠุฏุฉ ู„ุฃู†ู‡ ูุนู„ูŠุง ุจูŠุตูŠุฑ ููŠ ุนู†ุง ุชูƒุณุฑ
1164
+
1165
+ 292
1166
+ 00:22:59,050 --> 00:23:03,270
1167
+ ู„ ุงู„ chromosomes ูˆ ุจุนุฏูŠู† ุจุฑุฌุน ุจูŠุตูŠุฑ ููŠ ุนู†ุง joining
1168
+
1169
+ 293
1170
+ 00:23:03,270 --> 00:23:08,530
1171
+ ูˆ ุนู…ู„ูŠุฉ ุงู„ joining ุจุชูƒูˆู†ุด ุนู…ู„ูŠุฉ ุตุญูŠุญุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
1172
+
1173
+ 294
1174
+ 00:23:08,530 --> 00:23:14,910
1175
+ ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ ู„ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ุฌูŠู†ุงุช ูˆ ู…ู…ูƒู† ูŠุตู„ ุฅู„ู‰
1176
+
1177
+ 295
1178
+ 00:23:14,910 --> 00:23:18,870
1179
+ tens to hundreds of genes ุทุจุนุง ุถู…ู† ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1180
+
1181
+ 296
1182
+ 00:23:18,870 --> 00:23:23,140
1183
+ ู…ู…ูƒู† ูŠูƒูˆู† ุตุงุฑ ููŠู‡ุง ุชุบูŠุฑ ู‡ูŠ ุงู„ุฌูŠู†ุงุชุงู„ู„ูŠ ู‡ูŠ tumor
1184
+
1185
+ 297
1186
+ 00:23:23,140 --> 00:23:28,100
1187
+ -subdivisor genes ูˆ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูˆ ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
1188
+
1189
+ 298
1190
+ 00:23:28,100 --> 00:23:31,760
1191
+ ู…ู…ูƒู† ุชู†ุชุฌ ุงู„ู„ูŠ ู‡ูŠ oncogenes ุงู„ู†ุงุชุฌ ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ
1192
+
1193
+ 299
1194
+ 00:23:31,760 --> 00:23:37,260
1195
+ oncogenic effusion genes ูˆุจุฑุถู‡ ูŠุนู†ูŠ ุฅู†ู‡ ุงู„ู„ูŠ ู‡ูˆ
1196
+
1197
+ 300
1198
+ 00:23:37,260 --> 00:23:42,700
1199
+ ุงู„ู…ุซุงู„ ุงู„ุฃุดู‡ุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ PCR-ABL hybrid gene
1200
+
1201
+ 301
1202
+ 00:23:42,700 --> 00:23:45,360
1203
+ ูˆุจุงู„ุชุงู„ูŠ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ hybrid protein ุงู„ู„ูŠ
1204
+
1205
+ 302
1206
+ 00:23:45,360 --> 00:23:49,180
1207
+ ุจูŠู†ุชุฌ ุนู†ู‡ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุจูŠูƒูˆู† ุจุณุจุจ ุทุจุนู‹ุง ุงู„
1208
+
1209
+ 303
1210
+ 00:23:49,180 --> 00:23:52,060
1211
+ chromosome ุงู„ translocation ุจูŠู† ุงู„ chromosomes9
1212
+
1213
+ 304
1214
+ 00:23:52,060 --> 00:23:58,140
1215
+ and 22 ุทูŠุจ ู‡ุฐู‡ ุงู„ catastrophe event ุงู„ู„ูŠ ุตุงุฑุช ููŠ
1216
+
1217
+ 305
1218
+ 00:23:58,140 --> 00:24:03,140
1219
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูˆ ุงู„ุชูƒุณุฑ ุงู„ู„ูŠ ุตุงุฑ ููŠ ุงู„
1220
+
1221
+ 306
1222
+ 00:24:03,140 --> 00:24:09,280
1223
+ chromosomes ูˆ ุทุจุนุง ููŠ attempt ู„ ุงู„ repair ู„ูƒู† ุทุจุนุง
1224
+
1225
+ 307
1226
+ 00:24:09,280 --> 00:24:14,220
1227
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู† ุงู„ repair ู‡ุฐุง ู‡ูŠุนู…ู„ joining ู„ู‚ุทุน ู…ู†
1228
+
1229
+ 308
1230
+ 00:24:14,220 --> 00:24:18,850
1231
+ ุงู„ chromosomes ุจุดูƒู„ ุฎุงุทุฆูˆ ู‡ูŠุคุฏูŠ ุฅู„ู‰ incorrect
1232
+
1233
+ 309
1234
+ 00:24:18,850 --> 00:24:22,090
1235
+ junctions ูˆุจุงู„ุชุงู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง ู‡ูŠุนู…ู„ disruption
1236
+
1237
+ 310
1238
+ 00:24:22,090 --> 00:24:26,770
1239
+ ู„ ุงู„ tumor suppressor genes ุฃูˆ ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ ุงู„ู„ูŠ
1240
+
1241
+ 311
1242
+ 00:24:26,770 --> 00:24:31,830
1243
+ ู‡ูˆ oncogenic fusion genes ุทูŠุจ ูƒูŠู ู…ู…ูƒู† ููŠ ุงู„ู…ุฎุชุจุฑ
1244
+
1245
+ 312
1246
+ 00:24:31,830 --> 00:24:38,750
1247
+ ุชุซุจุช ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงู„ูˆูƒุฑูˆู…ุงุซุฑุจุณุฒ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1248
+
1249
+ 313
1250
+ 00:24:38,750 --> 00:24:44,770
1251
+ ู…ู…ูƒู† ุจุงุณุชุฎุฏุงู… ุงู„ fish probesูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… ุงู„ fish
1252
+
1253
+ 314
1254
+ 00:24:44,770 --> 00:24:50,050
1255
+ props marking normal chromosome location labeled
1256
+
1257
+ 315
1258
+ 00:24:50,050 --> 00:24:54,950
1259
+ with different color dyes ูŠุจู‚ู‰ ุจู†ุณุชุฎุฏู… fish props
1260
+
1261
+ 316
1262
+ 00:24:55,410 --> 00:25:01,050
1263
+ ู„ู€ different chromosomes ูˆุฅู† ูƒู„ probe ุจูŠุนุทูŠู†ุง ู„ูˆู†
1264
+
1265
+ 317
1266
+ 00:25:01,050 --> 00:25:06,730
1267
+ ู…ุนูŠู† ูˆุทุจุนุง ุงุญู†ุง ุนุงุฑููŠู† ุงู„ probes ู‡ุฐู‡ ู„ุฃูŠ ูƒุฑู…ูˆุฒูˆู…ุงุช
1268
+
1269
+ 318
1270
+ 00:25:06,730 --> 00:25:11,130
1271
+ ู…ุณุชุฎุฏู…ุฉ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู† ุฅู† ุงู„ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉ ุจูŠู„ุงู‚ูŠ
1272
+
1273
+ 319
1274
+ 00:25:11,130 --> 00:25:15,570
1275
+ ุฅู† ุงู„ probe ู‡ุฐุง ู…ูˆุฌูˆุฏ ููŠ ู…ูƒุงู†ู‡ ุงู„ุตุญูŠุญ ููŠ ุงู„ูƒุฑู…ูˆุฒูˆู…
1276
+
1277
+ 320
1278
+ 00:25:15,570 --> 00:25:21,220
1279
+ ุงู„ุตุญูŠุญุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ ุงู†ู‡ ุชุบูŠุฑ ููŠ ู…ูƒุงู† ู„ Prob ูŠุนู†ูŠ
1280
+
1281
+ 321
1282
+ 00:25:21,220 --> 00:25:24,480
1283
+ ุงู„ู…ูุฑูˆุถ Prob ุงุญู†ุง ุนุงู…ู„ูŠู†ู‡ ู…ุซู„ุง ุฏู‡ chromosome ุฎู…ุณุฉ
1284
+
1285
+ 322
1286
+ 00:25:24,480 --> 00:25:29,930
1287
+ ู„ู‚ูŠู†ุงุงู„ู€ Prob ู‡ุฐุง ู…ุซู„ุง ู…ูˆุฌูˆุฏ ููŠ ูƒุฑูˆู…ูˆุฒูˆู… ุขุฎุฑ ูŠุจู‚ู‰
1288
+
1289
+ 323
1290
+ 00:25:29,930 --> 00:25:33,550
1291
+ ุจู†ุนุฑู ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ุฃูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑ
1292
+
1293
+ 324
1294
+ 00:25:33,550 --> 00:25:41,010
1295
+ ููŠ ู…ูƒุงู† ุงู„ุฌูŠู†ุงุช ู‡ุฐู‡ ูˆุนู†ุฏู†ุง ู‡ู†ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ
1296
+
1297
+ 325
1298
+ 00:25:41,010 --> 00:25:47,670
1299
+ ุชู… ุงุณุชุฎุฏุงู… Prob ู„ูƒุฑูˆู…ูˆุฒูˆู… 5 ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู€
1300
+
1301
+ 326
1302
+ 00:25:47,670 --> 00:25:52,500
1303
+ Prob ุทุจุนุง ุงุฑุชุจุทุช ููŠุงู„ู€ complementary sequence ุงู„ู„ูŠ
1304
+
1305
+ 327
1306
+ 00:25:52,500 --> 00:25:55,760
1307
+ ุฅู„ู‡ุง ูˆุฅุนุทุชู†ูŠ ุงู„ู„ูŠ ู‡ูˆ fluorescence ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ
1308
+
1309
+ 328
1310
+ 00:25:55,760 --> 00:25:59,860
1311
+ ุฃู„ูˆุงู† ู…ุนูŠู†ุฉ ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ููŠ ุงู„ู€ normal chromosome
1312
+
1313
+ 329
1314
+ 00:25:59,860 --> 00:26:05,200
1315
+ ุฎู…ุณุฉ ูŠูƒูˆู† ู‡ูˆ ู‡ุฐุง ุงู„ุชุฑุชูŠุจ ู„ูˆุฌูˆุฏ ุงู„ props ุจู†ุงุก ุนู„ู‰
1316
+
1317
+ 330
1318
+ 00:26:05,200 --> 00:26:10,040
1319
+ ุงู„ sequence ุงู„ู„ูŠ ุงุฑุชุจุทุช ููŠู‡ุง ู‡ุฐู‡ ุงู„ props ุงู„ู…ุฎุชู„ูุฉ
1320
+
1321
+ 331
1322
+ 00:26:11,200 --> 00:26:15,300
1323
+ ุทูŠุจ ููŠ ุญุงู„ ุฃู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุชุบูŠุฑ ุทุจุนุง ู‡ูŠ
1324
+
1325
+ 332
1326
+ 00:26:15,300 --> 00:26:19,460
1327
+ ู‡ู†ุง ู‡ุฐู‡ ุงู„ chromosomes ู„ุฎู„ูŠุฉ ูˆููŠ ุนู†ุฏู†ุง ุจุนุถ ุงู„ู„ูŠ ู‡ูŠ
1328
+
1329
+ 333
1330
+ 00:26:19,460 --> 00:26:23,640
1331
+ ุงู„ chromosomes ุงู„ู„ูŠ ูŠุนู†ูŠ ู„ุณู‡ ุทุจูŠุนูŠุฉ ู„ูƒู† ููŠ ุนู†ุฏู†ุง
1332
+
1333
+ 334
1334
+ 00:26:23,640 --> 00:26:26,700
1335
+ ุงู„ chromosomes ุฃุฎุฑู‰ ุงู„ู„ูŠ ู‡ูˆ chromosome ุฎู…ุณุฉ ุตุงุฑ
1336
+
1337
+ 335
1338
+ 00:26:26,700 --> 00:26:31,320
1339
+ ููŠู‡ุง ุชุบูŠูŠุฑ ูˆ ุจุทู„ ุนู†ุฏู†ุง ุงู„ุชุฑุชูŠุจ ู„ ุงู„ props ุฒูŠ ู…ุง
1340
+
1341
+ 336
1342
+ 00:26:31,320 --> 00:26:35,060
1343
+ ุดูู†ุง ุงู„ู„ูŠ ู‡ูˆ ููŠ ุญุงู„ุฉ ุงู„ normal ูŠุนู†ูŠ ู‡ุงูŠ ู…ุซู„ุง ู‡ู†ุง
1344
+
1345
+ 337
1346
+ 00:26:35,060 --> 00:26:39,700
1347
+ derivativeู„ู€ Chromosome 5 ุดุงูŠููŠู† ุฃู†ู‡ ุงุญู†ุง ุงู„ุชุฑุชูŠุจ
1348
+
1349
+ 338
1350
+ 00:26:39,700 --> 00:26:43,940
1351
+ ุทุจุนุงู‹ ุงู„ู„ูŠ ู‡ูˆ ุงุฎุชู„ู ูˆู‡ุฐู‡ ุตูˆุฑุฉ ู…ูƒุจุฑุฉ ู„ู€ Derivative
1352
+
1353
+ 339
1354
+ 00:26:43,940 --> 00:26:47,020
1355
+ Chromosome 5 ูˆุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Probes
1356
+
1357
+ 340
1358
+ 00:26:47,020 --> 00:26:52,780
1359
+ ูˆู…ูƒุงู† ุงุฑุชุจุงุทู‡ุง ุงุฎุชู„ู ูˆู‡ุฐุง ุทุจุนุงู‹ ุจุณุจุจ ุงู„ุณุจุจ ููŠ ุงู„ู€
1360
+
1361
+ 341
1362
+ 00:26:52,780 --> 00:26:57,260
1363
+ Rearrangement ุงู„ู„ูŠ ุตุงุฑุช ู„ู€ Chromosome ุชู…ุงู… ู‡ุฐุง
1364
+
1365
+ 342
1366
+ 00:26:57,260 --> 00:27:00,540
1367
+ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ูˆ Normal Chromosome 5 ู„ุฃู†ู‡ ุนู†ุง ุฒูŠ ู…ุง
1368
+
1369
+ 343
1370
+ 00:27:00,540 --> 00:27:05,170
1371
+ ู‚ู„ู†ุง ุงู„ุชุฑุชูŠุจ ูŠุนู†ูŠ ุทุจูŠุนูŠ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ Derivativeุฃุฎุฑ
1372
+
1373
+ 344
1374
+ 00:27:05,170 --> 00:27:08,850
1375
+ ู„ู‚ู‰ ูƒุฑู…ูˆุฒูˆู… ุฎู…ุณุฉ ูˆู…ู†ุจูŠู† ุฃู†ู‡ ุตุงุฑ ููŠู†ุง ุงุฎุชู„ุงู ููŠ
1376
+
1377
+ 345
1378
+ 00:27:08,850 --> 00:27:14,450
1379
+ ุชุฑุชูŠุจ ุงู„ู€ probes ุนู† ุงู„ุทุจูŠุนูŠ ุทูŠุจุŒ ุฅูŠุด ุงู„ุณุจุจ ุงู„ู„ูŠ
1380
+
1381
+ 346
1382
+ 00:27:14,450 --> 00:27:18,150
1383
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ catastrophic event ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1384
+
1385
+ 347
1386
+ 00:27:18,150 --> 00:27:22,450
1387
+ ูˆูŠุคุฏูŠ ุฅู„ู‰ chromotripsisุŸ ุงู„ุณุจุจ ู…ุง ุฒุงู„ ุบูŠุฑ ู…ุนุฑูˆู
1388
+
1389
+ 348
1390
+ 00:27:22,450 --> 00:27:27,350
1391
+ ู„ูƒู† ููŠู†ุง suggestionsุŒ three suggestions have been
1392
+
1393
+ 349
1394
+ 00:27:27,350 --> 00:27:32,460
1395
+ proposed ุชู„ุช ุงู‚ุชุฑุงุญุงุชู„ุฃูŠุด ุณุจุจ ุงู„ุญุฏูˆุซ
1396
+
1397
+ 350
1398
+ 00:27:32,460 --> 00:27:36,820
1399
+ ู„ู€Chromotripsis ู‡ุฐู‡ุŸ ูˆุงุญุฏ ู…ู† ุงู„ู€ suggestions ุงู„ู€
1400
+
1401
+ 351
1402
+ 00:27:36,820 --> 00:27:41,340
1403
+ ionizing radiation that leads to chromosome breaks
1404
+
1405
+ 352
1406
+ 00:27:41,340 --> 00:27:44,920
1407
+ ุฃูˆ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู„ู…ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ ionizing
1408
+
1409
+ 353
1410
+ 00:27:44,920 --> 00:27:48,220
1411
+ radiation ูˆู†ุดูˆู ูƒูŠู ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุง chromosome
1412
+
1413
+ 354
1414
+ 00:27:48,220 --> 00:27:53,840
1415
+ double strand ุงู„ู„ูŠ ู‡ูˆ chromosome breaks ุฃูŠุถุง ุนู†ุฏู†ุง
1416
+
1417
+ 355
1418
+ 00:27:53,840 --> 00:27:59,240
1419
+ telomere dysfunctionwhich may lead to end-end
1420
+
1421
+ 356
1422
+ 00:27:59,240 --> 00:28:03,240
1423
+ chromosome fusion ุงู‡ ุฒูŠ ู…ุง ุงุญู†ุง ุนุงุฑููŠู† ุงู†ู‡ ู…ู†
1424
+
1425
+ 357
1426
+ 00:28:03,240 --> 00:28:07,840
1427
+ ูˆุธุงุฆู ุงู„ุชู„ูˆู…ูŠุฑ ุงู†ู‡ ุจูŠู…ู†ุน ู…ู† ุงู„ุงุฑุชุจุงุท ุงู„ ends
1428
+
1429
+ 358
1430
+ 00:28:07,840 --> 00:28:11,240
1431
+ ู„ู„ูƒุฑู…ุฒูˆู… ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ูŠุจู‚ู‰ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง
1432
+
1433
+ 359
1434
+ 00:28:11,240 --> 00:28:14,640
1435
+ ู…ุดูƒู„ุฉ ุจูŠู‡ ุงู„ุชู„ูˆู…ูŠุฑ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูŠุคุฏูŠ ุงู„ู‰ ุงุฑุชุจุงุท
1436
+
1437
+ 360
1438
+ 00:28:14,640 --> 00:28:17,980
1439
+ chromosomes end to end ู…ุน ุจุนุถ ุงู„ุจุนุถ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ
1440
+
1441
+ 361
1442
+ 00:28:17,980 --> 00:28:22,940
1443
+ ุงู„ู‰ ุทุจุนุง ุจุนุฏ ู‡ูŠูƒ breaking ู„ู„ูƒุฑู…ุฒูˆู… ูˆ rearrangement
1444
+
1445
+ 362
1446
+ 00:28:22,940 --> 00:28:28,300
1447
+ ู„ู„ูƒุฑู…ุฒูˆู…ุงู„ุณุจุจ ุงู„ุชุงู„ุช ุฃูˆ ุงู„ suggestion ุงู„ุชุงู„ุชุฉ
1448
+
1449
+ 363
1450
+ 00:28:28,300 --> 00:28:31,300
1451
+ ุจูŠู‚ูˆู„ ุงู†ู‡ aborted apoptosis such that cells which
1452
+
1453
+ 364
1454
+ 00:28:31,300 --> 00:28:35,840
1455
+ have initiated DNA fragmentation survived ุทุจุนุง ุงู†ู‡
1456
+
1457
+ 365
1458
+ 00:28:35,840 --> 00:28:39,800
1459
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง induction ู„apoptosis ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ
1460
+
1461
+ 366
1462
+ 00:28:39,800 --> 00:28:44,200
1463
+ ุทุจุนุง ุถู…ู† ุฎุทูˆุงุช ุงู„apoptosis ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ DNA
1464
+
1465
+ 367
1466
+ 00:28:44,200 --> 00:28:49,480
1467
+ fragmentation ุจูŠุจุฏุฃ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชูƒุณุฑ ู„ ุงู„ DNAูŠุจู‚ู‰
1468
+
1469
+ 368
1470
+ 00:28:49,480 --> 00:28:54,020
1471
+ ู…ู…ูƒู† ูŠูƒูˆู† ุณุจุจ ู„ู€ Chromothripsis ุฅู† ุฎู„ูŠุฉ ุตุงุฑ ููŠู‡ุง
1472
+
1473
+ 369
1474
+ 00:28:54,020 --> 00:28:57,240
1475
+ induction ู„ู€ Apoptosis ูˆ ุจุนุฏ ู‡ูŠูƒ ุนู…ู„ูŠุฉ ุงู„ู€
1476
+
1477
+ 370
1478
+ 00:28:57,240 --> 00:29:01,360
1479
+ Apoptosis ู„ูŠู‡ุง ุชูˆู‚ูุช ุทุจุนุง ุจุนุฏ ู…ุง ุตุงุฑ ููŠ ุนู†ุง ุงู„ูˆ
1480
+
1481
+ 371
1482
+ 00:29:01,360 --> 00:29:05,660
1483
+ DNA fragmentation ูˆ ุงู„ุชูƒุณุฑ ู„ูƒุฑู…ุฒูˆู…ุงุช ุฃูˆ
1484
+
1485
+ 372
1486
+ 00:29:05,660 --> 00:29:11,080
1487
+ Chromothripsis ูŠุจู‚ู‰ ู‡ุฐู‡ ุชู„ุงุชุฉ suggestions ู„ุณุจุจ
1488
+
1489
+ 373
1490
+ 00:29:11,080 --> 00:29:14,680
1491
+ ุญุฏูˆุซ ู„ู€ Chromothripsis ุจุงู„ู†ุณุจุฉ ู„ location of
1492
+
1493
+ 374
1494
+ 00:29:14,680 --> 00:29:20,290
1495
+ mutationุงู„ู€ mutations may occur anywhere across a
1496
+
1497
+ 375
1498
+ 00:29:20,290 --> 00:29:22,990
1499
+ particular gene but the location will determine
1500
+
1501
+ 376
1502
+ 00:29:22,990 --> 00:29:25,570
1503
+ whether some of these mutations give rise to
1504
+
1505
+ 377
1506
+ 00:29:25,570 --> 00:29:29,650
1507
+ growth advantage and contribute to carcinogenesis
1508
+
1509
+ 378
1510
+ 00:29:29,650 --> 00:29:34,290
1511
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ mutation ุชุตูŠุฑ ุจุฃูŠ ู…ูƒุงู† ูˆ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ
1512
+
1513
+ 379
1514
+ 00:29:34,290 --> 00:29:38,630
1515
+ ุญุชุตูŠุฑ ููŠู‡ mutation ู‡ูŠ ุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ุชุญุฏุฏ ุฅุฐุง ูƒุงู† ุตุงุฑ
1516
+
1517
+ 380
1518
+ 00:29:38,630 --> 00:29:43,250
1519
+ ููŠู‡ a growth advantage ุจุณุจุจ ู‡ุฐู‡ ุงู„ mutation ุฃูˆ ู„ุง
1520
+
1521
+ 381
1522
+ 00:29:44,730 --> 00:29:48,890
1523
+ ูˆุงู„ุขู† ุจู†ุงุก ุนู„ู‰ location of mutation ู…ู…ูƒู† ู†ู‚ุณู… ุงู„
1524
+
1525
+ 382
1526
+ 00:29:48,890 --> 00:29:53,810
1527
+ mutations ุฅู„ู‰ two types ููŠู†ุง ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ
1528
+
1529
+ 383
1530
+ 00:29:53,810 --> 00:30:00,470
1531
+ ุงู„ driver mutations ูˆ ุงู„ driver mutations ู‡ูŠ a
1532
+
1533
+ 384
1534
+ 00:30:00,470 --> 00:30:05,810
1535
+ mutation ุจุชุญุฏุซ ุงู„ crucial genetic mutations that
1536
+
1537
+ 385
1538
+ 00:30:05,810 --> 00:30:09,950
1539
+ initiated homogenesis ุจูŠุจุตูŠุฑ ููŠู†ุง genetic
1540
+
1541
+ 386
1542
+ 00:30:09,950 --> 00:30:14,370
1543
+ mutations ูˆุงู„ู€ Genetic Mutation ู‡ุฐู‡ ุจุชุนุทูŠ ุงู„ู€
1544
+
1545
+ 387
1546
+ 00:30:14,370 --> 00:30:19,010
1547
+ Growth ุทุจุนุงู‹ advantage ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ Drive
1548
+
1549
+ 388
1550
+ 00:30:19,010 --> 00:30:26,450
1551
+ Remutations ู‡ุชูƒูˆู† ุฅู…ุง ุชุณุจุจ ุงู„ู„ูŠ ู‡ูˆ ูŠุนู†ูŠ Oncogenic
1552
+
1553
+ 389
1554
+ 00:30:26,450 --> 00:30:31,810
1555
+ effusion gene ุฃูˆ ู…ู…ูƒู† ุงู„ู€ Mutation ู‡ุฐู‡ ุชุฃุซุฑ ุนู„ู‰ ุงู„
1556
+
1557
+ 390
1558
+ 00:30:31,810 --> 00:30:37,250
1559
+ tumor suppressor gene ูˆุจุงู„ุชุงู„ูŠ ูŠุตุจุญ non-functional
1560
+
1561
+ 391
1562
+ 00:30:37,250 --> 00:30:41,570
1563
+ ูŠุจู‚ู‰ ุงู„ drive remutationsGives a growth advantage
1564
+
1565
+ 392
1566
+ 00:30:41,570 --> 00:30:45,350
1567
+ on cells ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู„ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ tumor genesis
1568
+
1569
+ 393
1570
+ 00:30:45,350 --> 00:30:49,370
1571
+ ู„ุฃู† Oncogenes ุฃูˆ ุงู„ู€ tumor subcessor genes ุจูŠูƒูˆู†ูˆุง
1572
+
1573
+ 394
1574
+ 00:30:49,370 --> 00:30:53,890
1575
+ involved ููŠ ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ mutations ุงู„ู„ูŠ ูŠุณู…ู‰ ุจุงู„
1576
+
1577
+ 395
1578
+ 00:30:53,890 --> 00:30:59,550
1579
+ passenger mutations Passenger mutations do not
1580
+
1581
+ 396
1582
+ 00:30:59,550 --> 00:31:04,330
1583
+ confer a growth advantage ูŠุจู‚ู‰ ุนุจุงุฑุฉ ุนู† somatic
1584
+
1585
+ 397
1586
+ 00:31:04,330 --> 00:31:09,930
1587
+ mutations ู„ูƒู† without functional consequencesู‡ูŠุจู‚ู‰
1588
+
1589
+ 398
1590
+ 00:31:09,930 --> 00:31:16,250
1591
+ ู…ุด ู‡ูŠุชุฑุชุจ ุนู„ู‰ ู‡ุฐู‡ ุงู„ mutations ุฅุดูŠ ุจูŠุชุนู„ู‚ ุจูŠู‡ ุงู„ู„ูŠ
1592
+
1593
+ 399
1594
+ 00:31:16,250 --> 00:31:20,370
1595
+ ู‡ูˆ ุงู„ growth advantage ุฃูˆ ุงู„ู„ูŠ ุจูŠุนุทูŠ ู…ู…ูƒู† ู…ูŠุฒุฉ ู„ู‚ู‰
1596
+
1597
+ 400
1598
+ 00:31:20,370 --> 00:31:24,870
1599
+ ุงู„ cancer ุจูŠุจู‚ู‰ ุงู„ mutation ู„ูƒู† ู…ุงุจุชุนุทูŠุด ุฃูŠ growth
1600
+
1601
+ 401
1602
+ 00:31:24,870 --> 00:31:30,470
1603
+ advantage ุทุจุนุง ูŠุจู‚ู‰ ู‡ุงู† ุงู„ููŠุฌุฑ ูŠุนู†ูŠ ุจูŠุนุทูŠ ููƒุฑุฉ ุนู†
1604
+
1605
+ 402
1606
+ 00:31:30,470 --> 00:31:35,570
1607
+ ุงู„ passenger ูˆ ุงู„ driver mutations ู‡ุงู† ููŠู†ุง ุงู„ู„ูŠ
1608
+
1609
+ 403
1610
+ 00:31:35,570 --> 00:31:42,150
1611
+ ู‡ูˆ normal cellู…ุงููŠุด ุนู†ุฏู†ุง ุฃูŠ mutationsุงู„ุงู† ู„ูˆ ุตุงุฑ
1612
+
1613
+ 404
1614
+ 00:31:42,150 --> 00:31:45,150
1615
+ ููŠู†ุง passenger mutations ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ุด ู‡ุชุนู…ู„ ุงูŠ
1616
+
1617
+ 405
1618
+ 00:31:45,150 --> 00:31:52,050
1619
+ ุงู„ู„ูŠ ู‡ูˆ ู…ุด ู‡ุชุญุฏุซ ุงูŠ ุชุบูŠูŠุฑ ุนู„ู‰ ุงู„ ุงู„ genes ูˆุจุงู„ุชุงู„ูŠ
1620
+
1621
+ 406
1622
+ 00:31:52,050 --> 00:31:55,650
1623
+ ุงู„ุฎู„ูŠุฉ ุจุฑุถู‡ ุถู„ุช normal ุนูŠุจ ูŠุง ุฌู…ุงุนุฉ ูˆุฌูˆุฏ ุงู„
1624
+
1625
+ 407
1626
+ 00:31:55,650 --> 00:32:00,310
1627
+ passenger mutations ุจุฑุถู‡ ุงู„ุฎู„ูŠุฉ ุถู„ุช normal ุงู„ุงู†
1628
+
1629
+ 408
1630
+ 00:32:00,310 --> 00:32:04,170
1631
+ ุงู…ุชู‰ ู‡ูŠุตูŠุฑ ููŠู†ุง ุงู„ transformation ู„ ุงู„ุฎู„ูŠุฉ ู„ูˆ ุตุงุฑ
1632
+
1633
+ 409
1634
+ 00:32:04,170 --> 00:32:07,990
1635
+ ููŠู†ุง driver mutations ุงู„ mutations ุงู„ู„ูŠ ู‡ูŠ ู…ุนุจุฑ
1636
+
1637
+ 410
1638
+ 00:32:07,990 --> 00:32:12,520
1639
+ ุนู†ู‡ุง ุงู„ black dotsุงู„ุฌู‡ู‡ ุงู†ุตุฑ ููŠ ุงู†ู‡ ุงู„
1640
+
1641
+ 411
1642
+ 00:32:12,520 --> 00:32:17,640
1643
+ transformation.ุงู„ุงู† ุนุดุงู† ูŠุตูŠุฑ ููŠ ุงู†ู‡ ุงู„ูˆ more
1644
+
1645
+ 412
1646
+ 00:32:17,640 --> 00:32:22,000
1647
+ transformation ูˆ ูŠุตูŠุฑ ููŠู‡ metastasis ู…ู…ูƒู†
1648
+
1649
+ 413
1650
+ 00:32:22,000 --> 00:32:26,860
1651
+ additionalุงู„ุชุบูŠูŠุฑ ุงู„ู…ุณุงุนุฏ ูŠุชุทู„ุจ ุงู„ุชุบูŠูŠุฑ ุงู„ู…ุณุงุนุฏ
1652
+
1653
+ 414
1654
+ 00:32:26,860 --> 00:32:28,660
1655
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1656
+
1657
+ 415
1658
+ 00:32:28,660 --> 00:32:28,720
1659
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1660
+
1661
+ 416
1662
+ 00:32:28,720 --> 00:32:29,400
1663
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1664
+
1665
+ 417
1666
+ 00:32:29,400 --> 00:32:35,280
1667
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1668
+
1669
+ 418
1670
+ 00:32:35,280 --> 00:32:40,120
1671
+ ุงู„ู…ุณุงุนุฏ ุงู„ู…ุณุงุนุฏ
1672
+
1673
+ 419
1674
+ 00:32:40,120 --> 00:32:47,480
1675
+ ุงู„ู…ุณุงุนุฏุงู„ุขู† ูˆูŠู† ุงู„ู€ mutation ู‡ุชุตูŠุฑุŸ ู‡ูŠุตูŠุฑ ููŠู†ุง
1676
+
1677
+ 420
1678
+ 00:32:47,480 --> 00:32:51,920
1679
+ ุงู„ุชุบูŠูŠุฑ ูŠุนู†ูŠ ู„ูˆ ุตุงุฑ ููŠู†ุง a mutation in the
1680
+
1681
+ 421
1682
+ 00:32:51,920 --> 00:32:57,240
1683
+ promoter region ูŠุจู‚ู‰ ู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ูŠ ุชุบูŠูŠุฑ ุฃูˆ ูŠุบูŠุฑ
1684
+
1685
+ 422
1686
+ 00:32:57,240 --> 00:33:03,700
1687
+ ููŠ ุงู„ regulation ู„ู„ุฌูŠู† ูˆู…ู…ูƒู† ูŠุบูŠุฑ ููŠ ุงู„ level of
1688
+
1689
+ 423
1690
+ 00:33:03,700 --> 00:33:09,660
1691
+ expression ู„ู„ุฌูŠู† ู…ู…ูƒู† ูŠุบูŠุฑ ูŠุนู…ู„ูŠ ุงู„ what temporal
1692
+
1693
+ 424
1694
+ 00:33:09,660 --> 00:33:15,610
1695
+ ุฃูˆ spatial expressionู‡ูˆ ุชุบูŠูŠุฑ ุฅู…ุง ููŠ ุงู„ู…ูƒุงู† ุฃูˆ ููŠ
1696
+
1697
+ 425
1698
+ 00:33:15,610 --> 00:33:20,530
1699
+ ุงู„ุฒู…ุงู† ุงู„ู„ู‰ ุญูŠุตูŠุฑ ููŠู‡ expression ู„ู‡ุฐุง ุงู„ gene
1700
+
1701
+ 426
1702
+ 00:33:20,530 --> 00:33:25,150
1703
+ ุจูŠู‡ุฏุฃ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุง mutation ููŠ ุงู„ promoter
1704
+
1705
+ 427
1706
+ 00:33:25,150 --> 00:33:30,430
1707
+ region ุจูŠุบูŠุฑ ุงู„ regulation ู„ู„ุฌูŠู† ูˆู„ุง ุงู„ expression
1708
+
1709
+ 428
1710
+ 00:33:30,430 --> 00:33:36,350
1711
+ ู„ู‡ุฐุง ุงู„ gene ุงู„ุขู† ุงู„ู†ุชูŠุฌุฉ ุฃู†ู‡ ุญูŠุตูŠุฑ ููŠ ุนู†ุง ู…ู…ูƒู†
1712
+
1713
+ 429
1714
+ 00:33:36,350 --> 00:33:41,270
1715
+ over or under expression of the protein product
1716
+
1717
+ 430
1718
+ 00:33:42,110 --> 00:33:45,690
1719
+ ูˆู‡ุฐู‡ ุงู„ู€ mutations ุฅู…ุง ู‡ุชุฒูŠุฏ ู…ู† expression ู„ุฌูŠู†
1720
+
1721
+ 431
1722
+ 00:33:45,690 --> 00:33:49,570
1723
+ ู…ุนูŠู† ูˆุจุงู„ุชุงู„ูŠ ุงู„ุจุฑูˆุชูŠู† ุงู„ู†ุงุชุฌ ุนู† ู‡ุฐุง ุงู„ุฌูŠู† ู‡ูŠุฒูŠุฏ
1724
+
1725
+ 432
1726
+ 00:33:49,570 --> 00:33:53,250
1727
+ ุฃูˆ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ under expression ูŠุนู†ูŠ ู…ู…ูƒู† ุงู„
1728
+
1729
+ 433
1730
+ 00:33:53,250 --> 00:34:00,930
1731
+ mutation ู‡ุฐู‡ ุชุนู…ู„ูŠ silencing ู„ู‡ุฐุง ุงู„ุฌูŠู† result in
1732
+
1733
+ 434
1734
+ 00:34:00,930 --> 00:34:03,590
1735
+ over or under expression of the protein product or
1736
+
1737
+ 435
1738
+ 00:34:03,590 --> 00:34:06,730
1739
+ the appearance of the protein product at the wrong
1740
+
1741
+ 436
1742
+ 00:34:06,730 --> 00:34:12,650
1743
+ time or in the wrong placeุฃู‡ ูŠุจู‚ู‰ ู„ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง
1744
+
1745
+ 437
1746
+ 00:34:12,650 --> 00:34:17,250
1747
+ ุฃู†ู‡ ููŠู†ุง Silence gene ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูˆุตุงุฑ ููŠู†ุง
1748
+
1749
+ 438
1750
+ 00:34:17,250 --> 00:34:21,830
1751
+ mutation ููŠ ุงู„ promoter region ูŠู…ูƒู† ูŠุตูŠุฑ ููŠุงู† de
1752
+
1753
+ 439
1754
+ 00:34:21,830 --> 00:34:26,690
1755
+ -expression ู„ู‡ุฐุง ุงู„ุฌูŠู† ูˆูŠู†ุชุฌ ุนู†ู‡ protein ู…ุนูŠู† ู…ู…ูƒู†
1756
+
1757
+ 440
1758
+ 00:34:26,690 --> 00:34:31,650
1759
+ ููŠ ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุฃู† ู‡ุฐุง ุงู„ุฌูŠู†silence gene ูˆ
1760
+
1761
+ 441
1762
+ 00:34:31,650 --> 00:34:36,010
1763
+ ุจูŠุตูŠุฑุด ููŠู‡ ุฅู„ู‡ expression mutations occurring in
1764
+
1765
+ 442
1766
+ 00:34:36,010 --> 00:34:38,230
1767
+ the coding region ุงู„ู…ู†ุทู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ
1768
+
1769
+ 443
1770
+ 00:34:38,230 --> 00:34:41,790
1771
+ ููŠู‡ุง mutation ุงู„ู„ูŠ ุจูŠู‡ ุงู„ coding region ูˆ ุงู„ู…ูุฑูˆุถ
1772
+
1773
+ 444
1774
+ 00:34:41,790 --> 00:34:43,930
1775
+ ุงู„ coding region ู‡ุฐู‡ ุงู„ู„ูŠ ุจูŠูˆุตู„ ู„ู‡ุง transcription
1776
+
1777
+ 445
1778
+ 00:34:43,930 --> 00:34:46,970
1779
+ ุชุนุทูŠู†ูŠ messenger RNA ูˆ ุชุนุทูŠู†ูŠ ุงู„ translation ูˆ
1780
+
1781
+ 446
1782
+ 00:34:46,970 --> 00:34:51,150
1783
+ ุชุนุทูŠู†ูŠ ุงู„ functional protein ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ
1784
+
1785
+ 447
1786
+ 00:34:51,150 --> 00:34:55,510
1787
+ ุนู†ุฏู‰ mutation ููŠ ุงู„ coding region ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ู…ูƒู†
1788
+
1789
+ 448
1790
+ 00:34:55,510 --> 00:35:01,400
1791
+ ุชุนู…ู„ูŠุงู„ุชุฑ ู„ู„ู€ function of the gene ู…ู…ูƒู† ุชุบูŠุฑ
1792
+
1793
+ 449
1794
+ 00:35:01,400 --> 00:35:05,900
1795
+ limitations ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠุฑ ููŠ ุงู„ amino acid
1796
+
1797
+ 450
1798
+ 00:35:05,900 --> 00:35:10,880
1799
+ sequence ูˆุจุงู„ุชุงู„ูŠ ู„ู„ three dimensional structure
1800
+
1801
+ 451
1802
+ 00:35:10,880 --> 00:35:16,380
1803
+ ู„ู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ุชุบูŠุฑ ุจุงู„ function ู„ู„ุจุฑูˆุชูŠู†ู…ู…ูƒู†
1804
+
1805
+ 452
1806
+ 00:35:16,380 --> 00:35:23,060
1807
+ ุญุฏูˆุซ mutation ูŠุคุฏูŠ ุฅู„ู‰ truncated ุงู„ุจุฑูˆุชูŠู† ู„ุฃู† ู…ู…ูƒู†
1808
+
1809
+ 453
1810
+ 00:35:23,060 --> 00:35:26,640
1811
+ ุงู„ mutation ู‡ุงุฏุฉ ูŠุนู…ู„ ู„ูŠ stop codon ู„ู…ุง ูˆุจุงู„ุชุงู„ูŠ
1812
+
1813
+ 454
1814
+ 00:35:26,640 --> 00:35:31,720
1815
+ ูŠุชูˆู‚ู ุนู†ุฏูŠ ุนู…ู„ูŠุฉ ุงู„ translation ู„ ุงู„ messenger RNA
1816
+
1817
+ 455
1818
+ 00:35:31,720 --> 00:35:36,760
1819
+ ูˆู…ุงูŠูƒูˆู†ุด ุนู†ุฏูŠ ุงู„ู†ุงุชุฌ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจุฑูˆุชูŠู† ุงู„ูƒุงู… ุงู„ู„ูŠ
1820
+
1821
+ 456
1822
+ 00:35:36,760 --> 00:35:41,100
1823
+ ู‡ูŠูƒูˆู† ุฌุฒุก ู…ู† ุงู„ุจุฑูˆุชูŠู† ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠูƒูˆู† non
1824
+
1825
+ 457
1826
+ 00:35:41,100 --> 00:35:47,790
1827
+ -functional proteinุงู„ู†ู‚ุทุฉ ูŠุนู†ูŠ ุจุชุญุชุงุฌ ู…ู†ู†ุง ู…ู…ูƒู†
1828
+
1829
+ 458
1830
+ 00:35:47,790 --> 00:35:53,930
1831
+ ู„ูŠู‡ ุงู„ุชููƒูŠุฑ ุจูŠู‡ ุนู…ู‚ ูˆู‡ูŠ ุชุชุนู„ู‚ ุจุงู„ู€ mitochondrial
1832
+
1833
+ 459
1834
+ 00:35:53,930 --> 00:35:58,050
1835
+ DNA ูŠุนู†ูŠ ุงุญู†ุง ุงู„ูƒู„ุงู… ุงู„ุณุงุจู‚ ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ูˆ ุงู„
1836
+
1837
+ 460
1838
+ 00:35:58,050 --> 00:36:03,050
1839
+ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ูƒู„ู†ุง ุทุจุนุง ู†ู‚ุตุฏ ุงู„ genome DNA
1840
+
1841
+ 461
1842
+ 00:36:03,050 --> 00:36:07,070
1843
+ ุทูŠุจ ุงู„ุฃู† ุฒูŠ ู…ุง ุญู†ุนุฑููŠู† ุฃู† ููŠ ุนู†ุฏู†ุง ุงู„
1844
+
1845
+ 462
1846
+ 00:36:07,070 --> 00:36:09,170
1847
+ mitochondrial DNA
1848
+
1849
+ 463
1850
+ 00:36:11,140 --> 00:36:16,040
1851
+ ุทุจุนุงู‹ ุงู„ู€ size ู„ู€ ุงู„ู€ mitochondrial DNA ูŠุนู†ูŠ ุตุบูŠุฑ
1852
+
1853
+ 464
1854
+ 00:36:16,040 --> 00:36:22,080
1855
+ ู„ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุฏุฑุงุณุงุช ู„ู‚ูˆุง ุฃู† ุงู„ู€ mitochondrial DNA
1856
+
1857
+ 465
1858
+ 00:36:22,080 --> 00:36:28,160
1859
+ is associated with multiple types of cancer ูˆูŠู„ู‡
1860
+
1861
+ 466
1862
+ 00:36:28,160 --> 00:36:31,100
1863
+ ุนู„ุงู‚ุฉ ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ููŠ ุงู„ู€ mitochondrial
1864
+
1865
+ 467
1866
+ 00:36:31,100 --> 00:36:36,340
1867
+ DNA ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ formationุŒ ุงู„growth ูˆ ุฃูŠุถุง ุงู„
1868
+
1869
+ 468
1870
+ 00:36:36,340 --> 00:36:42,370
1871
+ metastases ู„ุชูŠูˆู…ุฑ cells ุงู„ mitochondrial DNALacks
1872
+
1873
+ 469
1874
+ 00:36:42,370 --> 00:36:46,350
1875
+ histones and has a lower capacity for DNA repair
1876
+
1877
+ 470
1878
+ 00:36:46,350 --> 00:36:50,910
1879
+ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุจุฒูŠุฏ ุงู„ู…ุดูƒู„ุฉุŒ ู…ุด ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA
1880
+
1881
+ 471
1882
+ 00:36:50,910 --> 00:36:54,110
1883
+ ุงู„ู€ Nuclear DNA ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง Defense
1884
+
1885
+ 472
1886
+ 00:36:54,110 --> 00:36:57,610
1887
+ MechanismsุŒ ููŠ ุนู†ุฏู†ุง Repair Mechanisms ู…ูˆุฌูˆุฏุฉุŒ ู„ูƒู†
1888
+
1889
+ 473
1890
+ 00:36:57,610 --> 00:37:01,930
1891
+ ุจุงู„ู†ุณุจุฉ ู„ู€Mitochondrial DNA ุชู…ุงู…ุŒ has a lower
1892
+
1893
+ 474
1894
+ 00:37:01,930 --> 00:37:06,950
1895
+ capacity for DNA repair ูˆุจุงู„ุชุงู„ูŠ ู…ุดูƒู„ุฉ ุฃูˆ ุฃู† ูŠุตูŠุฑ
1896
+
1897
+ 475
1898
+ 00:37:06,950 --> 00:37:10,250
1899
+ ููŠ ุนู†ุฏู†ุง ุชุบูŠุฑุŒ mutations ูˆุชุบูŠุฑ ููŠ ุงู„ู€
1900
+
1901
+ 476
1902
+ 00:37:10,250 --> 00:37:15,220
1903
+ Mitochondrial DNAุฃูƒุจุฑ making it susceptible to a
1904
+
1905
+ 477
1906
+ 00:37:15,220 --> 00:37:19,550
1907
+ mutationCurrently, the role of mitochondrial DNA
1908
+
1909
+ 478
1910
+ 00:37:19,550 --> 00:37:22,370
1911
+ mutations in cancer initiation is controversial.
1912
+
1913
+ 479
1914
+ 00:37:22,710 --> 00:37:26,550
1915
+ ู„ูŠุณ ู‡ู†ุงูƒ ุฅุฌู…ุงุน ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚ ุจู€ mutations ุงู„ู„ูŠ
1916
+
1917
+ 480
1918
+ 00:37:26,550 --> 00:37:31,070
1919
+ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial DNA ูˆุญุฏูˆุซ ุงู„ู€ cancer ู„ูƒู†
1920
+
1921
+ 481
1922
+ 00:37:31,070 --> 00:37:36,170
1923
+ ููŠ ุนู†ุฏู†ุง ุชู‚ุฑูŠุฑ ู…ู‡ู… ุชู… ู†ุดุฑู‡ ููŠ ุงู„ู€ Science Journal
1924
+
1925
+ 482
1926
+ 00:37:36,170 --> 00:37:41,490
1927
+ ูˆู‡ูŠ ุทุจุนุง ูŠุนู†ูŠ ู…ุฌู„ุฉ ุนุฑูŠู‚ุฉ ูˆุชู†ุดุฑ ููŠู‡ุง ุงู„ุฃุจุญุงุซ ุงู„ู…ู‡ู…ุฉ
1928
+
1929
+ 483
1930
+ 00:37:42,110 --> 00:37:45,310
1931
+ ู‡ุฐุง ุงู„ู€ report presents evidence that specific
1932
+
1933
+ 484
1934
+ 00:37:45,310 --> 00:37:48,670
1935
+ mitochondrial DNA mutations can increase the
1936
+
1937
+ 485
1938
+ 00:37:48,670 --> 00:37:53,290
1939
+ ability of cancer cells to spread ููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
1940
+
1941
+ 486
1942
+ 00:37:53,290 --> 00:37:56,550
1943
+ ูŠุนู„ู† ุฅู† ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ุจุงู„ู€ mitochondrial
1944
+
1945
+ 487
1946
+ 00:37:56,550 --> 00:38:02,190
1947
+ DNA ุจุชุฒูŠุฏ ู…ู† ู‚ุฏุฑุฉ ุงู„ cancer ุนู„ู‰ ุงู„ุงู†ุชุดุงุฑ ูˆ ุฅุญุฏุงุซ
1948
+
1949
+ 488
1950
+ 00:38:02,190 --> 00:38:05,390
1951
+ metastases ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ููŠู‡ุง ููŠ
1952
+
1953
+ 489
1954
+ 00:38:05,390 --> 00:38:10,500
1955
+ ุงู„ู…ุญุงุถุฑุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ carcinogenic agentsุจุนุถ ู…ุฌู…ูˆุนุงุช
1956
+
1957
+ 490
1958
+ 00:38:10,500 --> 00:38:17,100
1959
+ ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ุชู… ุงูƒุชุดุงูู‡ุง ูˆู…ู† ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ููŠู†ุง
1960
+
1961
+ 491
1962
+ 00:38:17,100 --> 00:38:23,500
1963
+ ุงู„ุฑุงุฏูŠุงุดู† ุงู„ูƒู…ูŠูƒุงู„ุงุช ุงู„ุงู†ููƒุดูุงุช ูˆุงู„ุจุงุซูˆุฌูŠู† ูˆุนู†ุง
1964
+
1965
+ 492
1966
+ 00:38:23,500 --> 00:38:28,600
1967
+ ู…ุฌู…ูˆุนุงุช ุงู†ุฏูˆุฌู†ุณูŠุฉ ู…ุนูŠู†ุฉ ูŠุจู‚ู‰ ุฏูˆู„ ุจุนุถ ู…ุฌู…ูˆุนุงุช
1968
+
1969
+ 493
1970
+ 00:38:28,600 --> 00:38:35,000
1971
+ ุงู„ูƒุงุฑุณูŠู†ูˆุฌูŠู† ูˆุญู†ุญูƒูŠ ุนู„ู‰ ุงู„ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู‡ุฐู‡ ูˆุงุญุฏุฉ
1972
+
1973
+ 494
1974
+ 00:38:35,000 --> 00:38:41,430
1975
+ ูˆุงุญุฏุฉ ุงู„ุฑุงุฏูŠุงุดู† ู‡ูŠ ุงู„ุทุงู‚ุฉุจุชุญู…ู„ ุทุงู‚ุฉ ูˆุฅุฐุง ูƒุงู† ุตุงุฑ
1976
+
1977
+ 495
1978
+ 00:38:41,430 --> 00:38:46,990
1979
+ ููŠ ุนู†ุฏู†ุง ุงุณุชุถุงู… ู„ ุงู„ waves ุงู„ radiation waves ู…ุน
1980
+
1981
+ 496
1982
+ 00:38:46,990 --> 00:38:52,990
1983
+ ุงู„ุฎู„ุงูŠุง ูˆุจุดูƒู„ ุฎุงุต ุทุจุนุง ู…ุน ุงู„ genome ู…ุน ุงู„ DNA ุฅุฐุง
1984
+
1985
+ 497
1986
+ 00:38:52,990 --> 00:38:57,950
1987
+ ู…ู…ูƒู† ุงู„ุทุงู‚ุฉ ู‡ุฐู‡ ุชู†ุชู‚ู„ ู„ ุงู„ DNA ูˆุชุนู…ู„ูŠ damage ููŠ ุงู„
1988
+
1989
+ 498
1990
+ 00:38:57,950 --> 00:39:03,610
1991
+ DNA there are two forms of radiation energy
1992
+
1993
+ 499
1994
+ 00:39:03,610 --> 00:39:05,510
1995
+ traveling in waves
1996
+
1997
+ 500
1998
+ 00:39:07,860 --> 00:39:15,200
1999
+ ูˆุงู„ู„ูŠ ุจุชุดู…ู„ ุงู„ู€ Gamma Rays ูˆุงู„ู€ X-Rays ูˆุนู†ุง ุงู„
2000
+
2001
+ 501
2002
+ 00:39:15,200 --> 00:39:19,320
2003
+ stream of atomic particles ู„ุฅู…ุง radiation
2004
+
2005
+ 502
2006
+ 00:39:19,320 --> 00:39:24,570
2007
+ travelling in waves ุฃูˆstream of atomic particles ูˆ
2008
+
2009
+ 503
2010
+ 00:39:24,570 --> 00:39:28,190
2011
+ ุงู„ู„ูŠ ุจุชุดู…ู„ ุงู„ุฃู†ูˆุงุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Alpha ูˆ ุงู„ู€ Beta
2012
+
2013
+ 504
2014
+ 00:39:28,190 --> 00:39:32,650
2015
+ particles that are emitted by radioactive atoms
2016
+
2017
+ 505
2018
+ 00:39:32,650 --> 00:39:36,490
2019
+ Alpha particles comprise two protons and two
2020
+
2021
+ 506
2022
+ 00:39:36,490 --> 00:39:41,350
2023
+ neutrons ุจูŠู†ู…ุง ุงู„ู€ Beta particles comprise
2024
+
2025
+ 507
2026
+ 00:39:41,350 --> 00:39:45,650
2027
+ electrons ุทุจ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ figure ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูˆุถุญ
2028
+
2029
+ 508
2030
+ 00:39:45,650 --> 00:39:49,760
2031
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุนูŠุฉ ู…ู† ุงู„ radiationุฒู‰ ู…ุง ู‚ู„ู†ุง ุงู†ู‡ ููŠ
2032
+
2033
+ 509
2034
+ 00:39:49,760 --> 00:39:54,940
2035
+ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ู„ู‰ ู‡ูˆ ู…ุซุงู„ Alpha ูˆ Beta ุงู„ู„ู‰ ุจูŠูƒูˆู†
2036
+
2037
+ 510
2038
+ 00:39:54,940 --> 00:40:00,940
2039
+ ุนู„ู‰ ุดูƒู„ particles ูˆููŠ ุนู†ุฏู†ุง ุงู„ู†ูˆุน ุงู„ุขุฎุฑ ุงู„ู„ู‰ ุฒู‰
2040
+
2041
+ 511
2042
+ 00:40:00,940 --> 00:40:06,880
2043
+ Gamma ุงู„ู„ู‰ ุนุจุงุฑุฉ ุนู† waves ูˆุทุจุนุง ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
2044
+
2045
+ 512
2046
+ 00:40:06,880 --> 00:40:15,270
2047
+ ู…ู† ุงู„ radiation ุฎุฏุฑุชู‡ุง ุนู„ู‰ุงู„ุงุฎุชุฑุงู‚ ู„ุฃุฌุณุงู… ุงู„ู…ุฎุชู„ูุฉ
2048
+
2049
+ 513
2050
+ 00:40:15,270 --> 00:40:20,890
2051
+ ุทุจุนุง ู…ุฎุชู„ู ูŠุนู†ูŠ ุฃู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ alpha ู…ู…ูƒู†
2052
+
2053
+ 514
2054
+ 00:40:20,890 --> 00:40:24,410
2055
+ paper or a few centimeters of air stops alpha
2056
+
2057
+ 515
2058
+ 00:40:24,410 --> 00:40:30,170
2059
+ particles ู„ูƒู† ู…ุด ู‡ูŠู‚ุฏุฑ ูŠูˆุฌู ุงู„ beta particles ูˆ ุงู„
2060
+
2061
+ 516
2062
+ 00:40:30,170 --> 00:40:33,990
2063
+ beta particles ู…ู…ูƒู† ูŠูˆุฌูู‡ุง ู„ูˆุงุญุฏ centimeter of
2064
+
2065
+ 517
2066
+ 00:40:33,990 --> 00:40:39,610
2067
+ aluminium stops beta particlesู„ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูƒุซุฑ
2068
+
2069
+ 518
2070
+ 00:40:39,610 --> 00:40:43,330
2071
+ ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงุฎุชุฑุงู‚ ู‡ูˆ ุงู„ู€ Gamma ูˆ ุงู„ู„ูŠ ู…ู…ูƒู† ุทุจุนุง
2072
+
2073
+ 519
2074
+ 00:40:43,330 --> 00:40:46,370
2075
+ ูŠุฎุช๏ฟฝ๏ฟฝู‚ ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ meter of air ุฃูˆ ูˆุงุญุฏ centimeter
2076
+
2077
+ 520
2078
+ 00:40:46,370 --> 00:40:52,530
2079
+ of aluminium ู„ูƒู† ุทุจุนุง ูŠุนู†ูŠ ุบูŠุฑ ู‚ุงุฏุฑ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ
2080
+
2081
+ 521
2082
+ 00:40:52,530 --> 00:40:57,550
2083
+ ุงุฎุชุฑุงู‚ several centimeter of lead ุฃูˆ one meter of
2084
+
2085
+ 522
2086
+ 00:40:57,550 --> 00:41:00,830
2087
+ concrete ุงู„ both forms of radiation can damage DNA
2088
+
2089
+ 523
2090
+ 00:41:00,830 --> 00:41:07,270
2091
+ and act as carcinogens ู„ุฃู† ุฒูŠ ู…ุง ุญูƒูŠู†ุงุงู„ุฑุงุฏูŠุงุดู† ู‡ูˆ
2092
+
2093
+ 524
2094
+ 00:41:07,270 --> 00:41:11,650
2095
+ ุนุจุงุฑุฉ ุนู† ุฅู†ุฑุฌูŠ ูˆ ุงู„ู€ amount of energy released by
2096
+
2097
+ 525
2098
+ 00:41:11,650 --> 00:41:14,710
2099
+ a particular radiation source affects the
2100
+
2101
+ 526
2102
+ 00:41:14,710 --> 00:41:17,790
2103
+ mechanism and extent of damage to DNA
2104
+
2105
+ 527
2106
+ 00:41:35,760 --> 00:41:42,980
2107
+ ุจุชู… ุชุญุฑูŠุฑู‡ุง ู…ู† ู‡ุฐู‡ ุงู„ radiation ูˆ ุจุชู†ุทุณ ููŠ ุงู„ body
2108
+
2109
+ 528
2110
+ 00:41:42,980 --> 00:41:48,280
2111
+ tissue ู‡ุฐู‡ ุจู†ู‚ูŠุณู‡ุง ููŠ in grades ูˆ ุชุนุฑูŠู ุงู„ grade
2112
+
2113
+ 529
2114
+ 00:41:48,280 --> 00:41:51,600
2115
+ when a grade is released to the body tissue of one
2116
+
2117
+ 530
2118
+ 00:41:51,600 --> 00:41:56,580
2119
+ joule of energy per one kilogram of tissue ุทูŠุจ
2120
+
2121
+ 531
2122
+ 00:41:56,580 --> 00:42:05,600
2123
+ ุงู„ุฃู‡ู… ู…ู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ุจุชู… ุงู…ุชุตุงุตู‡ุง ู‡ูˆูƒู…ูŠุฉ ุงู„ู€
2124
+
2125
+ 532
2126
+ 00:42:05,600 --> 00:42:10,800
2127
+ damage ุงู„ู„ูŠ ู…ู…ูƒู† ุชุญุฏุซู‡ุง ู‡ุฐู‡ ุงู„ุทุงู‚ุฉ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูˆ
2128
+
2129
+ 533
2130
+ 00:42:10,800 --> 00:42:18,020
2131
+ ุงู„ุฃู‡ู… ุชู…ุงู…ุŒ ู„ูŠุณ ู…ู‡ู… ูŠุฏูŠู‡ุด ูƒู…ูŠุฉ ุทุงู‚ุฉ ุจูŠุชู… ุงู…ุชุตุงุตู‡ุง
2132
+
2133
+ 534
2134
+ 00:42:18,020 --> 00:42:24,540
2135
+ ู…ู† ู‚ุจู„ ุงู„ุฌุณู… ูˆู„ูƒู† how much damage is done when the
2136
+
2137
+ 535
2138
+ 00:42:24,540 --> 00:42:28,840
2139
+ radiation has been absorbed ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃู‡ู…
2140
+
2141
+ 536
2142
+ 00:42:28,840 --> 00:42:34,970
2143
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ูƒู…ูŠุฉ ุงู„ุทุงู‚ุฉูŠู…ุชุตู‚ุชุดู‡ ุจุณุจุจ ู†ูˆุน radiation
2144
+
2145
+ 537
2146
+ 00:42:34,970 --> 00:42:41,490
2147
+ ูŠูƒูˆู† ุฃุนู„ูŠ ู„ูƒู† ู†ูˆุน ุขุฎุฑ ู…ู† ุงู„ radiation ู…ู…ูƒู† ูƒู…ูŠุฉ
2148
+
2149
+ 538
2150
+ 00:42:41,490 --> 00:42:46,850
2151
+ ุงู„ุทุงู‚ุฉ ุชูƒูˆู† ุฃู‚ู„ ู„ูƒู† ุงู„ damage ุงู„ู„ูŠ ุชุญุฏุซ ู‡ุฐู‡ ุงู„
2152
+
2153
+ 539
2154
+ 00:42:46,850 --> 00:42:51,690
2155
+ radiation ุชูƒูˆู† ุฃุนู„ู‰ ูŠุจู‚ู‰ amount of damage caused
2156
+
2157
+ 540
2158
+ 00:42:51,690 --> 00:42:56,290
2159
+ ุงู„ุขู† ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠุญุฏุฏ ุงู„ damage ุงู„ู„ูŠ ู‡ุชุญุฏุซ ู‡ุฐู‡ ุงู„
2160
+
2161
+ 541
2162
+ 00:42:56,290 --> 00:43:02,390
2163
+ radiation ู‡ุฐุง ุจูŠุชู…ุฏ ุนู„ู‰The rate at which a
2164
+
2165
+ 542
2166
+ 00:43:02,390 --> 00:43:06,630
2167
+ particular radiation source releases energy ูŠุจู‚ู‰
2168
+
2169
+ 543
2170
+ 00:43:06,630 --> 00:43:14,730
2171
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ู€ release ู„ู„ุฅู†ุฑุฌูŠ ูƒู„ ู…ุง ูƒุงู† ุงู„ rate of
2172
+
2173
+ 544
2174
+ 00:43:14,730 --> 00:43:21,110
2175
+ release of energy is higher ูƒู„ ู…ุง ูƒุงู† ุฅู† ุงู„ุฏู…ุฌ
2176
+
2177
+ 545
2178
+ 00:43:21,110 --> 00:43:25,990
2179
+ ุงู„ู„ูŠ ู‡ุชุญุฏุซู‡ ู‡ุฏูŠ ุงู„ energy ุฃูˆ ุงู„ radiation ุฃูƒุจุฑ
2180
+
2181
+ 546
2182
+ 00:43:27,740 --> 00:43:31,080
2183
+ ุฅุฐุง ูƒุงู†ุช ุงู„ู…ุตุงุฏุฑ ุงู„ุชู‡ูŠุฆูŠุฉ ุชุทุฑุญ ุทุงู‚ุฉ ุจุณุฑุนุฉ ุนุงู„ูŠุฉ
2184
+
2185
+ 547
2186
+ 00:43:31,080 --> 00:43:39,100
2187
+ ูู‡ูŠ ุชุณุจุจ ุฃูƒุชุฑ ุชุฏู…ูŠุฑ ู…ู† ู…ุตุงุฏุฑ ุชุทุฑุญEnergy more
2188
+
2189
+ 548
2190
+ 00:43:39,100 --> 00:43:43,700
2191
+ slowly ูˆ ุงู„ rate of energy release ู…ู…ูƒู† ูŠุชู…
2192
+
2193
+ 549
2194
+ 00:43:43,700 --> 00:43:48,260
2195
+ ุงู„ุชุนุจูŠุฑ ุนู†ู‡ ุนู† ุทุฑูŠู‚ ุงู„ linear energy transfer ุฃูˆ
2196
+
2197
+ 550
2198
+ 00:43:48,260 --> 00:43:51,620
2199
+ LET ุงู„ linear energy transfer is used to help
2200
+
2201
+ 551
2202
+ 00:43:51,620 --> 00:43:56,220
2203
+ describe the rate at which energy is released by a
2204
+
2205
+ 552
2206
+ 00:43:56,220 --> 00:44:02,660
2207
+ radiation source as it travels a fixed distance ูˆ
2208
+
2209
+ 553
2210
+ 00:44:02,660 --> 00:44:06,250
2211
+ ูŠุนู†ูŠ ุฃู†ู†ุง ู…ู…ูƒู† ู†ู‚ุณู… ุงู„ radiation ุฅู„ู‰ highLinear
2212
+
2213
+ 554
2214
+ 00:44:06,250 --> 00:44:10,750
2215
+ Energy Transfer Radiation ุฃูˆ Low Linear Energy
2216
+
2217
+ 555
2218
+ 00:44:10,750 --> 00:44:16,470
2219
+ Transfer Radiation ุงู„ู€ High Linear Energy Transfer
2220
+
2221
+ 556
2222
+ 00:44:16,470 --> 00:44:19,910
2223
+ Radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐู‡ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุนู…ู„ Release
2224
+
2225
+ 557
2226
+ 00:44:19,910 --> 00:44:25,810
2227
+ ู„ูƒู…ูŠุฉ ูƒุจูŠุฑุฉ ู…ู† ุงู„ู€ energy ููŠ ูˆู‚ุช ู‚ุตูŠุฑ ูŠุจู‚ู‰ emits
2228
+
2229
+ 558
2230
+ 00:44:25,810 --> 00:44:31,670
2231
+ more energy ูˆุจุงู„ุชุงู„ูŠ causes more biological damage
2232
+
2233
+ 559
2234
+ 00:44:31,670 --> 00:44:35,870
2235
+ ูˆุนู†ุง ู…ุซู„ ุงู„ู€ Alpha ParticlesุจูŠู†ู…ุง ุงู„ู€ Low Linear
2236
+
2237
+ 560
2238
+ 00:44:35,870 --> 00:44:40,550
2239
+ Energy Transfer ู‡ุฐู‡ ุงู„ู†ูˆุน ู…ู† ุงู„ู€ radiation ุงู„ู„ูŠ ู‡ูˆ
2240
+
2241
+ 561
2242
+ 00:44:40,550 --> 00:44:46,890
2243
+ it emits less energy ูˆุจุงู„ุชุงู„ูŠ causes less damage
2244
+
2245
+ 562
2246
+ 00:44:46,890 --> 00:44:49,610
2247
+ ูˆู…ุซุงู„ ุนู†ุฏู†ุง ุงู„ X-ray
2248
+
2249
+ 563
2250
+ 00:44:52,250 --> 00:44:55,750
2251
+ ุทุจุนุง ุงู„ radiation ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ high linear energy
2252
+
2253
+ 564
2254
+ 00:44:55,750 --> 00:44:59,110
2255
+ transfer radiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ุชุนู…ู„ damage ู„ู‚ู‰
2256
+
2257
+ 565
2258
+ 00:44:59,110 --> 00:45:03,710
2259
+ ุงู„ DNA ู…ู…ูƒู† ุชุนู…ู„ ูุนู„ูŠุง double-stranded DNA breaks
2260
+
2261
+ 566
2262
+ 00:45:03,710 --> 00:45:07,650
2263
+ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ chromosomal translocations
2264
+
2265
+ 567
2266
+ 00:45:07,650 --> 00:45:09,670
2267
+ ุฃูˆ deletions
2268
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/915SFjSUTBI.srt ADDED
@@ -0,0 +1,1665 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,940 --> 00:00:06,120
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู„ุซุฉ: cancer is a disease of the genome
4
+
5
+ 2
6
+ 00:00:06,120 --> 00:00:12,140
7
+ at the cellular level ูŠุจู‚ู‰ ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃุณุงุณูŠุฉ ููŠ
8
+
9
+ 3
10
+ 00:00:12,140 --> 00:00:16,940
11
+ ุงู„ู€ cancer ู‡ูˆ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ ุชุญุฏุซ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ genome
12
+
13
+ 4
14
+ 00:00:16,940 --> 00:00:21,400
15
+ ูˆูƒู…ุง ุฃู†ุชู… ุชุนุฑููˆู†ุŒ ู‡ู†ุงูƒ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุนูˆุงู…ู„
16
+
17
+ 5
18
+ 00:00:21,400 --> 00:00:26,080
19
+ ุงู„ุชูŠ ู‚ุฏ ุชุคุฏูŠ ุฅู„ู‰ ุงู„ุฅุตุงุจุฉ ุจู€ cancerุŒ ูˆู‡ุฐู‡ ุงู„ุนูˆุงู…ู„
20
+
21
+ 6
22
+ 00:00:26,540 --> 00:00:31,540
23
+ ู†ุณู…ูŠู‡ุง carcinogensุŒ ูˆุงู„ู€ carcinogens ู‡ุฐู‡
24
+
25
+ 7
26
+ 00:00:31,540 --> 00:00:38,320
27
+ ู…ุนุธู… ุงู„ู€ carcinogens ูŠู…ูƒู† ุฃู† ุชุณุจุจ ุชุบูŠูŠุฑุงุช ููŠ
28
+
29
+ 8
30
+ 00:00:38,320 --> 00:00:42,380
31
+ ุชุณู„ุณู„ ุงู„ู€ DNA ุฃูˆ ู…ุง ูŠุณู…ู‰ ุจุงู„ู€ mutations
32
+
33
+ 9
34
+ 00:00:42,380 --> 00:00:48,180
35
+ ูˆุจุงู„ุชุงู„ูŠุŒ ุงู„ู€ carcinogen ู‚ุฏ ูŠูƒูˆู† mutagen ู„ุฃู†ู‡
36
+
37
+ 10
38
+ 00:00:48,180 --> 00:00:54,140
39
+ ูŠูู…ูƒู† ุฃู† ูŠูุญุฏุซ mutation ููŠ ุชุณู„ุณู„ ุงู„ู€ DNAุŒ ู„ูƒู† ู‡ุฐุง ู„ุง
40
+
41
+ 11
42
+ 00:00:54,140 --> 00:01:01,290
43
+ ูŠุนู†ูŠ ุฃู† ุฌู…ูŠุน ุงู„ู€ carcinogens ู…ูุญูŽูู‘ูุฒุงุชูŒ ู„ู„ู…ู†ุงุนุฉุŒ ู‚ู„ู†ุง ุฃู†
44
+
45
+ 12
46
+ 00:01:01,290 --> 00:01:06,410
47
+ ู…ุนุธู… ุงู„ู€ carcinogens ู…ูุญูŽูู‘ูุฒุงุชูŒ ู„ู„ู…ู†ุงุนุฉุŒ ู„ุฃู†ู‡ ููŠ ุงู„ูˆุงู‚ุน ู‡ู†ุงูƒ
48
+
49
+ 13
50
+ 00:01:06,410 --> 00:01:12,670
51
+ ุจุนุถ ุงู„ุนูˆุงู…ู„ ุงู„ุชูŠ ู‚ุฏ ุชุคุฏูŠ ุฅู„ู‰ ุงู„ุฅุตุงุจุฉ ุจู€ cancerุŒ ูˆู„ูƒู†
52
+
53
+ 14
54
+ 00:01:12,670 --> 00:01:17,430
55
+ ุฏูˆู† ุฃู† ุชุณุจุจ mutations ุฃูˆ ุชุบูŠูŠุฑุงุช ููŠ ุชุณู„ุณู„ ุงู„ู€ DNA
56
+
57
+ 15
58
+ 00:01:17,430 --> 00:01:23,070
59
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู‡ู†ุงูƒ ุจุนุถ ุงู„ููŠุฑูˆุณุงุช
60
+
61
+ 16
62
+ 00:01:23,070 --> 00:01:29,550
63
+ ุงู„ุชูŠ ุชู†ุชุฌ ุจุฑูˆุชูŠู†ุงุชุŒ ูˆู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ู‚ุฏ ุชูƒูˆู† ู‡ูŠ ุงู„ุชูŠ
64
+
65
+ 17
66
+ 00:01:29,550 --> 00:01:35,970
67
+ ุชุคุฏูŠ ุฅู„ู‰ ู…ู†ุน ุงู„ุชุนุจูŠุฑ ุนู† ุฌูŠู† ู…ุนูŠู†ุŒ ุฑุจู…ุง ุจุฑุจุทู‡ุง
68
+
69
+ 18
70
+ 00:01:35,970 --> 00:01:39,970
71
+ ุฃูˆ ุจุฅุญุฏุงุซ ุชุนุทูŠู„ ู„ุนุงู…ู„ ุงู„ู†ุณุฎุŒ ุนู„ู‰
72
+
73
+ 19
74
+ 00:01:39,970 --> 00:01:45,850
75
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฃูŠุถุงู‹ุŒ ุงู„ู€ Carcinogen ู‚ุฏ ูŠุคุฏูŠ ุฅู„ู‰
76
+
77
+ 20
78
+ 00:01:45,850 --> 00:01:51,970
79
+ ุชุบูŠุฑุงุช epigeneticุŒ ู…ุซู„ ุชุบูŠูŠุฑ ููŠ ุนู…ู„ูŠุฉ ุงู„ู…ูŠุซูŠู„ูŽุฉ
80
+
81
+ 21
82
+ 00:01:51,970 --> 00:01:57,240
83
+ ู„ุฌูŠู† ู…ุงุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„ ุนู„ู‰ ุฅุณูƒุงุช ู‡ุฐุง ุงู„ุฌูŠู†ุŒ ู‚ุฏ
84
+
85
+ 22
86
+ 00:01:57,240 --> 00:02:01,860
87
+ ูŠุญุฏุซ ุฃูŠุถุงู‹ ุจุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ุŒ ุฃู„ุง ูˆู‡ูŠ ุญุฏูˆุซ ุชุญู„ู„ ู„ู€
88
+
89
+ 23
90
+ 00:02:01,860 --> 00:02:05,080
91
+ messenger RNA ูˆุจุงู„ุชุงู„ูŠ ู…ู†ุน ุงู„ุชุนุจูŠุฑ
92
+
93
+ 24
94
+ 00:02:05,080 --> 00:02:09,620
95
+ ุนู† ุฌูŠู† ู…ุนูŠู† ุนู† ุทุฑูŠู‚ ุชุญู„ู„ ุงู„ู€ messenger
96
+
97
+ 25
98
+ 00:02:09,620 --> 00:02:13,960
99
+ RNAุŒ ูˆุจุงู„ุชุงู„ูŠ ู„ู† ูŠูู†ุชุฌ ุจุฑูˆุชูŠู† ู…ุนูŠู†ุŒ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู†
100
+
101
+ 26
102
+ 00:02:13,960 --> 00:02:17,420
103
+ ู‚ุฏ ูŠูƒูˆู† ุจุฑูˆุชูŠู† ู…ุซุจุท ู„ู„ูˆุฑู…ุŒ ุนู„ู‰
104
+
105
+ 27
106
+ 00:02:17,420 --> 00:02:20,980
107
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุชู…ุงู…ุŸ ู„ุฐู„ูƒ ู‚ู„ู†ุง ุฃู† ู…ุนุธู…
108
+
109
+ 28
110
+ 00:02:20,980 --> 00:02:27,120
111
+ ุงู„ู€ carcinogens ู…ูุญูŽูˆู‘ูู„ุงุชูŒุŒ ูˆู„ูŠุณุช ุฌู…ูŠุน ุงู„ู€ carcinogens
112
+
113
+ 29
114
+ 00:02:27,120 --> 00:02:33,160
115
+ ู…ูุญูŽูˆู‘ูู„ุงุชูŒ. ุทุจุนุงู‹ุŒ ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ุงู„ุนุฏูŠุฏุฉ ุงู„ุชูŠ ุฃุฌุฑูŠุชุŒ ุฃุตุจุญ
116
+
117
+ 30
118
+ 00:02:33,160 --> 00:02:38,220
119
+ ู„ุฏูŠู†ุง ุฏู„ูŠู„ ูŠูุดูŠุฑ ุฅู„ู‰ ุฃู† DNA ุฎู„ุงูŠุง ุงู„ูˆุฑู…
120
+
121
+ 31
122
+ 00:02:38,220 --> 00:02:42,980
123
+ ูŠุญุชูˆูŠ ุนู„ู‰ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุชุบูŠูŠุฑุงุชุŒ ุชุชุฑุงูˆุญ ู…ู†
124
+
125
+ 32
126
+ 00:02:42,980 --> 00:02:47,540
127
+ ุทููุฑุงุช ู†ู‚ุทูŠุฉ ุฏู‚ูŠู‚ุฉ ุฅู„ู‰ ุชุดูˆู‡ุงุช ูƒุฑูˆู…ูˆุณูˆู…ูŠุฉ ูƒุจูŠุฑุฉ
128
+
129
+ 33
130
+ 00:02:47,540 --> 00:02:52,360
131
+ ู…ุซู„ ุงู„ุญุฐู ุฃูˆ ุงู„ุงู†ุชู‚ุงู„ุงุช ุงู„ูƒุฑูˆู…ูˆุณูˆู…ูŠุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุนุฏูŠุฏ
132
+
133
+ 34
134
+ 00:02:52,360 --> 00:02:56,520
135
+ ู…ู† ุฃู†ูˆุงุน ุงู„ุณุฑุทุงู†ุงุช. ุชุฑุงูƒู… ุงู„ุทูุฑุงุช ููŠ
136
+
137
+ 35
138
+ 00:02:56,520 --> 00:02:59,780
139
+ ุงู„ุฎู„ุงูŠุง ู…ุน ู…ุฑูˆุฑ ุงู„ูˆู‚ุช ูŠู…ุซู„ ุนู…ู„ูŠุฉ ู…ุชุนุฏุฏุฉ ุงู„ุฎุทูˆุงุช
140
+
141
+ 36
142
+ 00:02:59,780 --> 00:03:02,960
143
+ ุชูุดูƒู‘ูู„ ุฃุณุงุณ ุญุฏูˆุซ ุชุณุฑุทู†. ูˆุนุงุฏุฉู‹ ู…ุง ูŠุญุฏุซ
144
+
145
+ 37
146
+ 00:03:02,960 --> 00:03:06,880
147
+ ุฃู† ุชุฑุงูƒู… ุงู„ุทูุฑุงุช ู‚ุฏ ู„ุง
148
+
149
+ 38
150
+ 00:03:06,880 --> 00:03:12,020
151
+ ูŠุคุฏูŠ ุฅู„ู‰ ุชุญูˆู„ ุงู„ุฎู„ูŠุฉ ุฅู„ู‰ ุฎู„ูŠุฉ ุณุฑุทุงู†ูŠุฉ ู…ู† ุฃูˆู„ ุทูุฑุฉ
152
+
153
+ 39
154
+ 00:03:12,020 --> 00:03:17,320
155
+ ุจู„ ู‚ุฏ ุชุญุชุงุฌ ุฅู„ู‰ ุฃูƒุซุฑ ู…ู† ุทูุฑุฉ ูˆุงุญุฏุฉ ู„ูƒูŠ ุชุชุญูˆู„
156
+
157
+ 40
158
+ 00:03:17,320 --> 00:03:21,940
159
+ ุงู„ุฎู„ูŠุฉ ุฅู„ู‰ ุฎู„ูŠุฉ ุณุฑุทุงู†ูŠุฉุŒ ูˆู‚ุฏ ุชุญุชุงุฌ ุฅู„ู‰ ุฃูƒุซุฑ
160
+
161
+ 41
162
+ 00:03:21,940 --> 00:03:28,540
163
+ ู…ู† ุทูุฑุฉุŒ ุฃูˆ ู‚ุฏ ูŠุชุดูƒู„ ูˆุฑู…ุŒ ูˆุจุนุฏ
164
+
165
+ 42
166
+ 00:03:28,540 --> 00:03:31,660
167
+ ุฐู„ูƒุŒ ูŠุชุญูˆู„ ู…ุซู„ุงู‹ ุจุณุจุจ ุชุฑุงูƒู…
168
+
169
+ 43
170
+ 00:03:31,660 --> 00:03:34,740
171
+ ุงู„ุทูุฑุงุช ุฅู„ู‰ ูˆุฑู… ุฎุจูŠุซุŒ ุชู…ุงู…ุงู‹ ุจุณุจุจ
172
+
173
+ 44
174
+ 00:03:34,740 --> 00:03:38,860
175
+ ุชุฑุงูƒู… ุงู„ุทูุฑุงุชุŒ ูˆู‡ุฐุง ู‡ูˆ ุงู„ุณุจุจ ุงู„ุฐูŠ ุฐูƒุฑู†ุงู‡
176
+
177
+ 45
178
+ 00:03:38,860 --> 00:03:44,860
179
+ ุนู†ุฏู…ุง ุชุญุฏุซู†ุง ุนู† ุงู„ุฃุนู…ุงุฑุŒ ูˆุฃูŠู† ูŠุชุฑูƒุฒ ุฃูƒุจุฑ ุนุฏุฏ ููŠ ุฃูŠ ูุฆุฉ
180
+
181
+ 46
182
+ 00:03:44,860 --> 00:03:47,440
183
+ ุนู…ุฑูŠุฉุŒ ุฃูƒุจุฑ ุนุฏุฏ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ุชูŠ ุชุตุงุจ ุจู€
184
+
185
+ 47
186
+ 00:03:47,440 --> 00:03:52,060
187
+ ุงู„ุณุฑุทุงู† ูƒุงู†ุช ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŒ ู„ู…ุงุฐุง ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŸ ู„ุฃู†ู‡
188
+
189
+ 48
190
+ 00:03:52,060 --> 00:03:55,040
191
+ ุงู„ุณุฑุทุงู† ูŠู†ุชุฌ ูุนู„ูŠุงู‹ ุนู† ุชุฑุงูƒู… ุงู„ุทูุฑุงุชุŒ
192
+
193
+ 49
194
+ 00:03:55,040 --> 00:04:00,030
195
+ ูˆูƒู„ู…ุง ุชู‚ุฏู… ุงู„ุฅู†ุณุงู† ููŠ ุงู„ุนู…ุฑุŒ ูŠุตุจุญ ุฃูƒุซุฑ ุนุฑุถุฉู‹ ู„ู€
196
+
197
+ 50
198
+ 00:04:00,030 --> 00:04:03,930
199
+ ุญุฏูˆุซ ุงู„ู…ุฒูŠุฏ ู…ู† ุงู„ุทูุฑุงุช ููŠ ุงู„ู€ DNAุŒ ูˆุจุงู„ุชุงู„ูŠ
200
+
201
+ 51
202
+ 00:04:03,930 --> 00:04:09,110
203
+ ุชุญูˆู„ ุงู„ุฎู„ูŠุฉ ุฅู„ู‰ ุฎู„ูŠุฉ ุณุฑุทุงู†ูŠุฉุŒ ูˆู‡ุฐุง ุงู„ุดูƒู„
204
+
205
+ 52
206
+ 00:04:09,110 --> 00:04:12,690
207
+ ูŠูˆุถุญ ููƒุฑุฉ ุชุฑุงูƒู…
208
+
209
+ 53
210
+ 00:04:12,690 --> 00:04:16,690
211
+ ุงู„ุทูุฑุงุช. ู„ุฏูŠู†ุง ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉุŒ ู‚ุฏ ูŠุญุฏุซ ููŠู‡ุง
212
+
213
+ 54
214
+ 00:04:16,690 --> 00:04:22,190
215
+ ุงู„ุทูุฑุฉ ุงู„ุฃูˆู„ู‰ุŒ ุซู… ุงู„ุทูุฑุฉ ุงู„ุซุงู†ูŠุฉุŒ ุซู… ุงู„ุทูุฑุฉ ุงู„ุซุงู„ุซุฉุŒ ุนู†ุฏู…ุง
216
+
217
+ 55
218
+ 00:04:22,190 --> 00:04:26,990
219
+ ูŠุญุฏุซ ูˆุฑู…ุŒ ุซู… ุฑุจู…ุง ุทูุฑุฉ ุฑุงุจุนุฉ
220
+
221
+ 56
222
+ 00:04:26,990 --> 00:04:29,750
223
+ ู„ูƒูŠ ุชุชุญูˆู„ ุฅู„ู‰ ุฎู„ูŠุฉ ุฎุจูŠุซุฉุŒ ูˆุงู„ุชูŠ ู‚ุฏ ุชูƒูˆู†
224
+
225
+ 57
226
+ 00:04:29,750 --> 00:04:33,910
227
+ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุงู„ุงุฌุชูŠุงุญ ูˆุงู„ุงู†ุชู‚ุงู„ ุฅู„ู‰
228
+
229
+ 58
230
+ 00:04:33,910 --> 00:04:38,490
231
+ ุฃู…ุงูƒู† ุฃุฎุฑู‰ุŒ ุชู…ุงู…ุงู‹ ูƒู…ุง ู‚ู„ู†ุง ุฃู†
232
+
233
+ 59
234
+ 00:04:38,490 --> 00:04:41,030
235
+ ุถุฑูˆุฑุฉ ุชุฑุงูƒู…
236
+
237
+ 60
238
+ 00:04:41,030 --> 00:04:45,630
239
+ ุงู„ุชุบูŠุฑุงุช ู…ุน ู…ุฑูˆุฑ ุงู„ูˆู‚ุช ุชูููŽุณู‘ูุฑ ู„ู…ุงุฐุง ุชูˆุฌุฏ ุญุงู„ุงุช ุฃูƒุซุฑ ู…ู† ุงู„ุณุฑุทุงู† ู…ุน ุงู„ุชู‚ุฏู… ููŠ ุงู„ุนู…ุฑุŒ
240
+
241
+ 61
242
+ 00:04:45,630 --> 00:04:48,890
243
+ ูˆู„ู…ุงุฐุง ูŠุตุจุญ ุงู„ุณุฑุทุงู† ุฃูƒุซุฑ ุดูŠูˆุนุงู‹ ู…ุน ุงู„ุชู‚ุฏู… ููŠ ุงู„ุนู…ุฑ
244
+
245
+ 62
246
+ 00:04:48,890 --> 00:04:53,310
247
+ ุจุดูƒู„ ุนุงู…
248
+
249
+ 69
250
+ 00:05:10,690 --> 00:05:18,100
251
+ ุทุจุนุงู‹ุŒ ู‡ุฐุง ูŠุนูˆุฏ ู„ุฃุณุจุงุจ ู…ุฎุชู„ูุฉุŒ ูˆู„ู‡ุฐุง ุงู„ุณุจุจ
252
+
253
+ 70
254
+ 00:05:18,100 --> 00:05:22,480
255
+ ุฃุตุจุญ ู„ุฏูŠู†ุง ุงู„ุขู†ุŒ ูˆ ุจุณุจุจ ุทูˆู„
256
+
257
+ 71
258
+ 00:05:22,480 --> 00:05:25,660
259
+ ุงู„ุฃุนู…ุงุฑุŒ ุฃุตุจุญ ู„ุฏูŠู†ุง ุชุฑุงูƒู… ุงู„ุทูุฑุงุช ู‡ุฐุง
260
+
261
+ 72
262
+ 00:05:25,660 --> 00:05:28,620
263
+ ุงู„ุฐูŠ ูŠุญุฏุซุŒ ูˆุจุงู„ุชุงู„ูŠ ุฒุงุฏุช ุฃุนุฏุงุฏ ุงู„ุฅุตุงุจุฉ ุจู€
264
+
265
+ 73
266
+ 00:05:28,620 --> 00:05:31,900
267
+ ุงู„ุณุฑุทุงู†. ูƒู„ู…ุง ุทุงู„ ุนู…ุฑู†ุงุŒ ุฒุงุฏุช ุงู„ู…ุฏุฉ
268
+
269
+ 74
270
+ 00:05:31,900 --> 00:05:35,140
271
+ ุงู„ู…ุชุงุญุฉ ู„ู€ DNA ู„ุชุฑุงูƒู… ุงู„ุทูุฑุงุชุŒ ุงู„ุฃู…ุฑ ุงู„ุฐูŠ
272
+
273
+ 75
274
+ 00:05:35,140 --> 00:05:40,220
275
+ ู‚ุฏ ูŠุคุฏูŠ ุฅู„ู‰ ุงู„ุฅุตุงุจุฉ ุจุงู„ุณุฑุทุงู†. ู‡ู†ุงูƒ ุฃุทูุงู„ ู‚ุฏ
276
+
277
+ 76
278
+ 00:05:40,220 --> 00:05:46,340
279
+ ูŠูุตุงุจูˆู† ุจุงู„ุณุฑุทุงู†. ุงู„ุทูู„ ูŠุนู†ูŠ ุนู…ุฑู‡ ุตุบูŠุฑ
280
+
281
+ 77
282
+ 00:05:46,340 --> 00:05:49,560
283
+ ูˆู„ู… ูŠุญุตู„ ู„ุฏูŠู‡ ุชุฑุงูƒู…
284
+
285
+ 78
286
+ 00:05:49,560 --> 00:05:54,880
287
+ ุงู„ุทูุฑุงุช. ูƒูŠู ูŠู…ูƒู† ุฃู† ูŠูุตุงุจ ู‡ุฐุง ุงู„ุทูู„ ุจุงู„ุณุฑุทุงู†ุŸ
288
+
289
+ 79
290
+ 00:05:54,880 --> 00:05:57,820
291
+ ู‡ู†ุงูƒ ุณุจุจ ุขุฎุฑ ู…ุญุชู…ู„ ู„ู„ุฅุตุงุจุฉ ุจู€
292
+
293
+ 80
294
+ 00:05:57,820 --> 00:06:01,920
295
+ ุงู„ุณุฑุทุงู†ุŒ ู„ุฃู† ู‡ู†ุงูƒ ุฏู„ูŠู„ ุนู„ู‰ ุฃู† ููŠ ู†ุณุจุฉ ุตุบูŠุฑุฉ
296
+
297
+ 81
298
+ 00:06:01,920 --> 00:06:06,380
299
+ ู…ู† ุงู„ุฃูˆุฑุงู…ุŒ ู‚ุฏ ูŠุญุฏุซ ุญุฏุซ ูƒุงุฑุซูŠ ูˆุงุญุฏ
300
+
301
+ 82
302
+ 00:06:06,380 --> 00:06:12,030
303
+ ุฃูŠ ุฃุฒู…ุฉ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ุชุญุฏุซ ูƒุงุฑุซุฉ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ูˆู‡ุฐุง
304
+
305
+ 83
306
+ 00:06:12,030 --> 00:06:17,870
307
+ ู…ุง ูŠูุณู…ู‰ ุจุงู„ุฃุฒู…ุฉ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ู‚ุฏ ุชุคุฏูŠ ู‡ุฐู‡ ุงู„ุฃุฒู…ุฉ
308
+
309
+ 84
310
+ 00:06:17,870 --> 00:06:21,630
311
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุฅู„ู‰
312
+
313
+ 85
314
+ 00:06:21,630 --> 00:06:26,510
315
+ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุทูุฑุงุช ุงู„ุฌูŠู†ูŠุฉ ูˆู‚ุฏ ุชุคุฏูŠ ุฅู„ู‰
316
+
317
+ 86
318
+ 00:06:26,510 --> 00:06:31,250
319
+ ุงู†ุชู‚ุงู„ุงุช ูƒุฑูˆู…ูˆุณูˆู…ูŠุฉุŒ ูˆู‡ุฐู‡ ู‚ุฏ ุชุคุฏูŠ ุฅู„ู‰ ุงู„ุฅุตุงุจุฉ ุจุงู„ุณุฑุทุงู†
320
+
321
+ 87
322
+ 00:06:31,250 --> 00:06:35,840
323
+ ุนู†ุฏ ุงู„ุฃุทูุงู„ุŒ ุณู†ุชุญุฏุซ ุนู†ู‡ุงุŒ ุณู†ุดุฑุญู‡ุง ู‚ู„ูŠู„ุงู‹ ููŠ
324
+
325
+ 88
326
+ 00:06:35,840 --> 00:06:38,880
327
+ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู‚ุงุฏู…ุฉ ุฅู† ุดุงุก ุงู„ู„ู‡. ุงู„ุขู† ููŠู…ุง ูŠุชุนู„ู‚
328
+
329
+ 89
330
+ 00:06:38,880 --> 00:06:42,720
331
+ ุจู†ูˆุน ุงู„ุทูุฑุงุช ุงู„ุชูŠ ุชุญุฏุซ ููŠ ุงู„ุฎู„ุงูŠุงุŒ ุชู‚ุฑูŠุจุงู‹ ุฌู…ูŠุน
332
+
333
+ 90
334
+ 00:06:42,720 --> 00:06:45,940
335
+ ุงู„ุทูุฑุงุช ุงู„ุชูŠ ุชู… ุชุญุฏูŠุฏู‡ุง ููŠ ุฎู„ุงูŠุง ุงู„ูˆุฑู… ู‡ูŠ
336
+
337
+ 91
338
+ 00:06:45,940 --> 00:06:49,960
339
+ ุทูุฑุงุช ุฌุณุฏูŠุฉุŒ ุงู„ุทูุฑุงุช ุงู„ุฌุณุฏูŠุฉุŒ DNA ุงู„ุฎู„ุงูŠุง ุงู„ุฌุณุฏูŠุฉ ุฃูˆ ุฎู„ุงูŠุง ุงู„ุฌุณู…
340
+
341
+ 92
342
+ 00:06:49,960 --> 00:06:53,460
343
+ ุชู„ู. ูˆุงู„ุทูุฑุงุช ุงู„ุฌุณุฏูŠุฉ
344
+
345
+ 93
346
+ 00:06:53,460 --> 00:06:57,960
347
+ ู„ุง ุชููˆุฑู‘ูŽุซ ู„ู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉุŒ ุฅุฐุง ูƒู†ุง ู†ุชุญุฏุซ ุนู†
348
+
349
+ 94
350
+ 00:06:57,960 --> 00:07:01,420
351
+ ุทูุฑุงุช ุฌุณุฏูŠุฉุŒ ูุฅู† ู‡ุฐู‡ ุงู„ุทูุฑุงุช ุณุชูƒูˆู†
352
+
353
+ 95
354
+ 00:07:01,420 --> 00:07:05,160
355
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุดุฎุต ุงู„ุฐูŠ ุฃุตูŠุจ ุจู‡ุฐู‡ ุงู„ุทูุฑุฉุŒ ูˆู…ุน ู…ูˆุชู‡
356
+
357
+ 96
358
+ 00:07:05,160 --> 00:07:10,240
359
+ ุทุจุนุงู‹ุŒ ุชู†ุชู‡ูŠ. ู‡ุฐู‡ ุงู„ุทูุฑุงุช ู„ุง ุชููˆุฑู‘ูŽุซ ุฅู„ู‰
360
+
361
+ 97
362
+ 00:07:10,240 --> 00:07:13,800
363
+ ุงู„ุฌูŠู„ ุงู„ุชุงู„ูŠ ู…ู† ุงู„ุฃุจู†ุงุกุŒ ูˆุจุงู„๏ฟฝ๏ฟฝุงู„ูŠ ู‡ูŠ
364
+
365
+ 98
366
+ 00:07:13,800 --> 00:07:17,770
367
+ ู„ูŠุณุช ูˆุฑุงุซูŠุฉุŒ ู„ูƒู† ุฏุงุฎู„ ุงู„ุฌุณู… ู†ูุณู‡ุŒ ู‡ูŠ
368
+
369
+ 99
370
+ 00:07:17,770 --> 00:07:22,330
371
+ ุชูู…ุฑู‘ูŽุฑ ุฅู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ุจู†ุงุช ุจุนุฏ ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉุŒ ูƒู…ุง
372
+
373
+ 100
374
+ 00:07:22,330 --> 00:07:25,370
375
+ ุฑุฃูŠู†ุง ููŠ ุงู„ุดุฑูŠุญุฉ ุงู„ุณุงุจู‚ุฉุŒ ุฅุฐุง ุญุฏุซุช
376
+
377
+ 101
378
+ 00:07:25,370 --> 00:07:28,650
379
+ ุทูุฑุฉุŒ ูุฅู† ู‡ุฐู‡ ุงู„ุทูุฑุฉ ุชู†ุชู‚ู„
380
+
381
+ 102
382
+ 00:07:28,650 --> 00:07:32,810
383
+ ุฅู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ุŒ ุฃูŠ ุฃู† ุงู„ุทูุฑุงุช ุชู†ุชู‚ู„ุŒ ู‡ูŠ
384
+
385
+ 103
386
+ 00:07:32,810 --> 00:07:37,410
387
+ ูŠู…ูƒู† ุฃู† ุชูู…ุฑู‘ูŽุฑ ุฅู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ุจู†ุงุชุŒ ูˆู„ูƒู†ู‡ุง ู„ุง ุชู†ุชู‚ู„ ุฅู„ู‰
388
+
389
+ 104
390
+ 00:07:37,410 --> 00:07:42,610
391
+ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ุฅู„ู‰ ู†ุณู„ ู‡ุฐุง ุงู„ุดุฎุต.
392
+
393
+ 106
394
+ 00:07:47,480 --> 00:07:50,180
395
+ ุงู„ุชุนุฏูŠู„ุงุช ุงู„ูˆุฑุงุซูŠุฉ ู„ู„ุฌูŠู†ูˆู…ุŒ ูˆุจู†ูŠุฉ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชู„ุนุจ ุฃูŠุถุงู‹ ุฏูˆุฑุงู‹ ููŠ
396
+
397
+ 107
398
+ 00:07:50,180 --> 00:07:52,520
399
+ ุญุฏูˆุซ ุงู„ุชุณุฑุทู†. ู‡ู†ุงูƒ ุจุนุถ ุงู„ุทูุฑุงุช ุงู„ุชูŠ
400
+
401
+ 108
402
+ 00:07:52,520 --> 00:07:57,520
403
+ ูŠู…ูƒู† ุฃู† ุชููˆุฑู‘ูŽุซ ูุนู„ูŠุงู‹ ุฅู„ู‰ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉุŒ
404
+
405
+ 109
406
+ 00:07:57,520 --> 00:08:02,680
407
+ ูˆู‡ุฐุง ูŠุญุฏุซ ููŠ ุญุงู„ุฉ ุญุฏูˆุซ ุทูุฑุงุช ููŠ
408
+
409
+ 110
410
+ 00:08:02,680 --> 00:08:05,900
411
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ู†ูˆูŠุฉ ุฃูˆ ุงู„ุจูˆูŠุถุงุชุŒ ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุชุณู…ู‰ ุงู„ุทูุฑุงุช
412
+
413
+ 111
414
+ 00:08:05,900 --> 00:08:11,360
415
+ ุทูุฑุงุช ุฎุท ุฌุฑุซูˆู…ูŠ. ุงู„ุทูุฑุงุช ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠ
416
+
417
+ 112
418
+ 00:08:11,360 --> 00:08:16,930
419
+ ุชูู…ุฑู‘ูŽุฑ ุฅู„ู‰ ุงู„ู†ุณู„. ุจุนุถ ุงู„ุทูุฑุงุช ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠ
420
+
421
+ 113
422
+ 00:08:16,930 --> 00:08:23,250
423
+ ู‚ุฏ ุชุณุจุจ ุฒูŠุงุฏุฉ ุฎุทุฑ ุงู„ุฅุตุงุจุฉ ุจุงู„ุณุฑุทุงู†
424
+
425
+ 114
426
+ 00:08:23,250 --> 00:08:26,650
427
+ ูˆู„ูƒู†ู‡ุง ุบุงู„ุจุงู‹ ู…ุง ุชููˆุฑุซ ุงู„ุฅุตุงุจุฉ ุจุงู„ุณุฑุทุงู† ุจุดูƒู„ ู…ุจุงุดุฑุŒ ูˆู‡ุฐุง
428
+
429
+ 115
430
+ 00:08:26,650 --> 00:08:32,390
431
+ ู…ุง ุณู†ุชุญุฏุซ ุนู†ู‡ ู‚ู„ูŠู„ุงู‹ุŒ ูˆุณูŠูƒูˆู† ู‡ู†ุงูƒ ุดุฑุญ ุฅุถุงููŠ
432
+
433
+ 116
434
+ 00:08:32,390 --> 00:08:34,850
435
+ ูƒุซูŠุฑ ููŠู…ุง ูŠุชุนู„ู‚ ุจุงู„ุทูุฑุงุช ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠุŒ ูˆุจุงู„ุชุงู„ูŠุŒ ุงู„ุดุฎุต
436
+
437
+ 117
438
+ 00:08:34,850 --> 00:08:41,030
439
+ ุฅุฐุง ูƒุงู† ู„ุฏูŠู‡ ุทูุฑุฉ ุฎุท ุฌุฑุซูˆู…ูŠุŒ ู‚ุฏ ูŠูƒูˆู† ุฃูƒุซุฑ ุนุฑุถุฉู‹
440
+
441
+ 118
442
+ 00:08:41,030 --> 00:08:43,710
443
+ ู„ุฎุทุฑ ุงู„ุฅุตุงุจุฉ ุจุฃู†ูˆุงุน ู…ุฎุชู„ูุฉ ู…ู†
444
+
445
+ 119
446
+ 00:08:43,710 --> 00:08:50,100
447
+ ุงู„ุณุฑุทุงู†. ู‡ุฐุง ุงู„ุดูƒู„ ูŠูˆุถุญ ุงู„ุทูุฑุงุช ุงู„ุฌุณุฏูŠุฉ ูˆ
448
+
449
+ 120
450
+ 00:08:53,780 --> 00:08:58,060
451
+ ุงู„ุทูุฑุงุช ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠ. ู‡ู†ุงุŒ ุงู„ุฎู„ุงูŠุง ุงู„ุฌุณุฏูŠุฉ ูˆ ุงู„ุณุฑุทุงู† ูƒู…ุง ู‚ู„ู†ุง ุทูุฑุฉ ููŠ
452
+
453
+ 121
454
+ 00:08:58,060 --> 00:09:02,020
455
+ ุงู„ุฎู„ุงูŠุง ุงู„ุฌุณุฏูŠุฉุŒ ู‡ุฐู‡ ุงู„ุทูุฑุฉ ุชู†ุชู‚ู„ ุฅู„ู‰
456
+
457
+ 122
458
+ 00:09:02,020 --> 00:09:07,160
459
+ ุงู„ุฎู„ุงูŠุง ุงู„ุจู†ุงุชุŒ ููŠ ุญุงู„ุฉ ุงู†ู‚ุณุงู… ู‡ุฐู‡
460
+
461
+ 123
462
+ 00:09:07,160 --> 00:09:09,980
463
+ ุงู„ุฎู„ูŠุฉุŒ ุชู†ุชู‚ู„ ู‡ุฐู‡ ุงู„ุทูุฑุฉ ุฅู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ุŒ ู„ูƒู†
464
+
465
+ 124
466
+ 00:09:09,980 --> 00:09:14,760
467
+ ู…ุชู‰ ุชู†ุชู‚ู„ ุฅู„ู‰ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉุŸ ููŠ
468
+
469
+ 125
470
+ 00:09:14,760 --> 00:09:18,980
471
+ ุญุงู„ุฉ ุญุฏูˆุซ ุงู„ุทูุฑุฉ ููŠ ุงู„ุฎู„ุงูŠุง ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠุŒ
472
+
473
+ 126
474
+ 00:09:18,980 --> 00:09:22,580
475
+ ููŠ ุงู„ุฎู„ุงูŠุง ุงู„ุฎุท ุงู„ุฌุฑุซูˆู…ูŠุŒ ุชุนู†ูŠ ุงู„ุฌุงู…ูŠุชุงุช ุงู„ุชูŠ ุชู†ุชุฌ
476
+
477
+ 127
478
+ 00:09:22,580 --> 00:09:26,480
479
+ ุงู„ุทูุฑุฉ ุณุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ููŠู‡ุงุŒ ูˆ ู‡ุฐู‡ ุชูู…ูŽุฑู‘ูŽุฑ ุฅู„ู‰
480
+
481
+ 128
482
+ 00:09:26,480 --> 00:09:31,900
483
+ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉ. ุงู„ุขู†ุŒ ู…ุง ุงู„ุฐูŠ ูŠู…ูŠุฒ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู†ุŸ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุชุชูƒุงุซุฑ ุจุดูƒู„ ุบูŠุฑ ู…ูู†ู’ุชูŽุธูŽู…
484
+
485
+ 129
486
+ 00:09:31,900 --> 00:09:36,500
487
+ ูˆ ู‚ุฏ ูŠู†ุชุฌ ุนู† ู‡ุฐุง ุงู„ุชูƒุงุซุฑ ุบูŠุฑ ุงู„ู…ู†ุชุธู… ุทูุฑุงุช ุฃุฎุฑู‰
488
+
489
+ 130
490
+ 00:09:36,500 --> 00:09:40,460
491
+ ุฏุงุฎู„ ุงู„ุฎู„ุงูŠุงุŒ ูˆู‡ุฐุง ูƒู…ุง ู‚ู„ู†ุง ุณุงุจู‚ุงู‹ุŒ
492
+
493
+ 131
494
+ 00:09:40,460 --> 00:09:43,840
495
+ ูŠูู…ูƒู† ุฃู† ูŠุจุฏุฃ ุจูˆุฑู…ุŒ ุซู… ูŠุชุญูˆู„ ุจุนุฏ ุฐู„ูƒ
496
+
497
+ 132
498
+ 00:09:43,840 --> 00:09:48,560
499
+ ุฅู„ู‰ ูˆุฑู… ุฎุจูŠุซุŒ ู„ุฃู†ู‡ ู…ุน ุงู†ู‚ุณุงู…
500
+
501
+ 133
502
+ 00:09:48,560 --> 00:09:53,820
503
+ ุงู„ุฎู„ุงูŠุงุŒ ุชูƒุชุณุจ ุงู„ุฎู„ุงูŠุง ุทูุฑุงุช ุฃุฎุฑู‰ุŒ
504
+
505
+ 134
506
+ 00:09:53,820 --> 00:09:58,660
507
+ ูˆู‡ุฐู‡ ุงู„ุทูุฑุงุช ุงู„ุฌุฏูŠุฏุฉ ุชูุนุทููŠู‡ุง
508
+
509
+ 135
510
+ 00:09:58,660 --> 00:10:02,660
511
+ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงุฌุชูŠุงุญ ูˆุงู„ุงู†ุชุดุงุฑ. ุงู„ุชุบูŠุฑุงุช ุงู„ุชุฏุฑูŠุฌูŠุฉ
512
+
513
+ 136
514
+ 00:10:02,660 --> 00:10:06,920
515
+ ููŠ ุงู„ุฎู„ูŠุฉ ุงู„ู†ุงุชุฌุฉ ุนู† ุชุฑุงูƒู…
516
+
517
+ 137
518
+ 00:10:06,920 --> 00:10:09,300
519
+ ุงู„ุทูุฑุงุช ุงู„ุฌูŠู†ูŠุฉ ุงู„ุชูŠ ุชูุนุทูŠ ู…ูŠุฒุฉ ู†ู…ูˆ
520
+
521
+ 138
522
+ 00:10:09,300 --> 00:10:14,030
523
+ ุนู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ู…ุฌุงูˆุฑุฉุŒ ุชุชู‚ุฏู… ู‡ุฐู‡ ุงู„ุนู…ู„ูŠุฉ ุจุทุฑูŠู‚ุฉ
524
+
525
+ 139
526
+ 00:10:14,030 --> 00:10:16,590
527
+ ุชุดุจู‡ ุงู„ุชุทูˆุฑ ุงู„ุฏุงุฑูˆูŠู†ูŠ. ูŠุญุฏุซ ุฃู†
528
+
529
+ 140
530
+ 00:10:16,590 --> 00:10:19,190
531
+ ุงู„ุทูุฑุงุช ู…ุฎุชู„ูุฉุŒ ูˆุงู„ุทูุฑุงุช ู„ูŠุณุช ูˆุงุญุฏุฉ ููŠ
532
+
533
+ 141
534
+ 00:10:19,190 --> 00:10:22,970
535
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ุฎุชู„ูุฉุŒ ุฃูŠ ุฃู†ู†ุง ู‚ุฏ ู†ุฌุฏ ุทูุฑุงุช
536
+
537
+ 142
538
+ 00:10:22,970 --> 00:10:27,550
539
+ ู…ุฎุชู„ูุฉ ููŠ ุฎู„ุงูŠุง ุงู„ูˆุฑู…. ุงู„ุขู†ุŒ ุงู„ุทูุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ุชูŠ ุชุญุฏุซุŒ ู‡ู„ ุฌู…ูŠุน ุงู„ุฎู„ุงูŠุง
540
+
541
+ 143
542
+ 00:10:27,550 --> 00:10:32,530
543
+ ุณุชุจู‚ู‰ ุญูŠุฉ ูˆุชุชูƒุงุซุฑุŸ ุงู„ุฎู„ุงูŠุง ุงู„ุชูŠ ุณุชุจู‚ู‰ ุญูŠุฉ ู‡ูŠ ุงู„ุฎู„ุงูŠุง ุงู„ุชูŠ ุงูƒุชุณุจุช ุฎุตุงุฆุต
544
+
545
+ 144
546
+ 00:10:32,530 --> 00:10:35,270
547
+ ู‚ุงุฏุฑุฉ ุนู„ู‰
548
+
549
+ 145
550
+ 00:10:35,270 --> 00:10:40,370
551
+ ุงู„ุชุฃู‚ู„ู… ู…ุน ุงู„ุจูŠุฆุฉ ุงู„ุชูŠ ุชุชูˆุงุฌุฏ ููŠู‡ุงุŒ ูˆุงู„ุชูŠ ูŠุญุฏุซ ููŠู‡ุง ุชูƒุงุซุฑุŒ ุฃูˆ ูƒู…ุง ู‚ู„ู†ุง
552
+
553
+ 146
554
+ 00:10:40,370 --> 00:10:45,270
555
+ ุงุฌุชูŠุงุญ ู„ุฃู…ุงูƒู† ุฃุฎุฑู‰. ุงู„ุฃุญุฏุงุซ ุงู„ุนุดูˆุงุฆูŠุฉ
556
+
557
+ 147
558
+ 00:10:45,270 --> 00:10:50,090
559
+ ุชูุคุฏู‘ููŠ ุฅู„ู‰ ุทูุฑุงุช ุชูุบูŠู‘ูุฑ ููŠ
560
+
561
+ 148
562
+ 00:10:50,090 --> 00:10:54,710
563
+ ุงู„ู†ู…ุท ุงู„ุธุงู‡ุฑูŠ ูˆุชุณู…ุญ ุจุงู„ุชูƒูŠู ู…ุน ุงู„ุจูŠุฆุฉุŒ
564
+
565
+ 149
566
+ 00:10:54,710 --> 00:10:58,930
567
+ ู…ู…ุง ูŠุคุฏูŠ ุฅู„ู‰ ุงู†ุชู‚ุงุก ูˆุจู‚ุงุก
568
+
569
+ 150
570
+ 00:10:58,930 --> 00:11:02,550
571
+ ุงู„ุฃุตู„ุญ. ุงู„ุฃูุถู„ ู‡ูˆ ุงู„ุฐูŠ ุชู…ูƒู† ู…ู† ุงู„ุชุฃู‚ู„ู…ุŒ ุงู„ุฎู„ุงูŠุง
572
+
573
+ 151
574
+ 00:11:02,550 --> 00:11:07,250
575
+ ุงู„ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู†ูŠุฉ ุงู„ุชูŠ ุชู…ูƒู†ุช ู…ู† ุงู„ุชุฃู‚ู„ู… ู…ุน
576
+
577
+ 152
578
+ 00:11:07,250 --> 00:11:09,710
579
+ ุงู„ุจูŠุฆุฉ ู‡ูŠ ุงู„ุชูŠ ุชุจู‚ู‰ุŒ ูˆุงู„ุฎู„ุงูŠุง
580
+
581
+ 153
582
+ 00:11:09,710 --> 00:11:13,670
583
+ ุงู„ุฃุฎุฑู‰ ุชู†ู‚ุฑุถ. ุงู„ุขู† ู…ู† ุงู„ู…ูุชุฑุถ ุฃู† ููŠ ุงู„ุฎู„ุงูŠุง
584
+
585
+ 154
586
+ 00:11:13,670 --> 00:11:18,450
587
+ ูŠูˆุฌุฏ ุขู„ูŠุงุช ุฏูุงุนูŠุฉุŒ ูˆุขู„ูŠุงุช ุงู„ุฏูุงุน
588
+
589
+ 155
590
+ 00:11:18,450 --> 00:11:23,290
591
+ ู‡ุฐู‡ุŒ ุฅุฐุง ุญุฏุซ ุฃูŠ ุชุบูŠูŠุฑ ููŠ
592
+
593
+ 156
594
+ 00:11:23,290 --> 00:11:25,810
595
+ ุงู„ู€ DNAุŒ ู…ู† ุงู„ู…ูุชุฑุถ ุฃู† ูŠุญุฏุซ ุฅุตู„ุงุญ. ูƒูŠู ู…ุน
596
+
597
+ 157
598
+ 00:11:25,810 --> 00:11:29,710
599
+ ูˆุฌูˆุฏ ุขู„ูŠุงุช ุงู„ุฏูุงุน ู‡ุฐู‡ ูˆุขู„ูŠุฉ ุฅุตู„ุงุญ ุงู„ู€ DNA
600
+
601
+ 158
602
+ 00:11:29,710 --> 00:11:33,710
603
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุฎู„ุงูŠุงุŒ ูƒูŠู ูŠู…ูƒู† ุฃู† ุชุญุฏุซ
604
+
605
+ 159
606
+ 00:11:33,710 --> 00:11:37,310
607
+ ุทูุฑุงุชุŒ ูˆูŠุญุฏุซ ุชุฑุงูƒู… ู„ู‡ุฐู‡
608
+
609
+ 160
610
+ 00:11:37,310 --> 00:11:40,710
611
+ ุงู„ุทูุฑุงุชุŸ ุทุจุนุงู‹ุŒ ู…ู† ุงู„ู…ุดุงูƒู„ ุงู„ุชูŠ ู‚ุฏ ุชุญุฏุซ ุฃู† ูŠุญุฏุซ
612
+
613
+ 161
614
+ 00:11:40,710 --> 00:11:45,330
615
+ ุทูุฑุฉ ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุณุคูˆู„ุฉ ุนู† ุฅุตู„ุงุญ ุงู„ู€ DNAุŒ
616
+
617
+ 162
618
+ 00:11:45,330 --> 00:11:49,960
619
+ ูƒู…ุง ุดุฑุญู†ุง ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„
620
+
621
+ 163
622
+ 00:11:49,960 --> 00:11:52,180
623
+ ููŠู…ุง ูŠุชุนู„ู‚ ุจุฅุตู„ุงุญ ุงู„ู€ DNAุŒ ู„ุฏูŠู†ุง ุขู„ูŠุงุช
624
+
625
+ 164
626
+ 00:11:52,180 --> 00:11:57,770
627
+ ู…ุฎุชู„ูุฉ ู„ุฅุตู„ุงุญ ุงู„ู€ DNAุŒ ูˆู‚ุฏ ูŠุญุฏุซ ูุนู„ูŠุงู‹ ุทูุฑุงุช
628
+
629
+ 165
630
+ 00:11:57,770 --> 00:12:02,220
631
+ ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุณุคูˆู„ุฉ ุนู† ุฅุตู„ุงุญ ุงู„ู€ DNAุŒ
632
+
633
+ 166
634
+ 00:12:02,220 --> 00:12:05,440
635
+ ู…ุซู„ ุงู„ู…ุซุงู„ ุงู„ุฐูŠ ู„ุฏูŠู†ุง ููŠ ุณุฑุทุงู† ุงู„ุซุฏูŠ ูˆู‡ูˆ
636
+
637
+ 167
638
+ 00:12:05,440 --> 00:12:09,370
639
+ ุฌูŠู†ุงุช BRCAุŒ ุฌูŠู†ุงุช BRCAุŒ ุงู„ุฌูŠู†ุงุช ุงู„ุชูŠ
640
+
641
+ 168
642
+ 00:12:09,370 --> 00:12:12,130
643
+ ุชู„ุนุจ ุฏูˆุฑุงู‹ ููŠ ุนู…ู„ูŠุฉ ุฅุตู„ุงุญ ุงู„ู€ DNAุŒ ุชู…ุงู…ุŸ ูˆุจุงู„ุชุงู„ูŠ
644
+
645
+ 169
646
+ 00:12:12,130 --> 00:12:15,510
647
+ ู‚ุฏ ูŠุญุฏุซ ุทูุฑุฉ ููŠ ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุชุŒ
648
+
649
+ 170
650
+ 00:12:15,510 --> 00:12:19,910
651
+ ูˆูŠู†ุชุฌ ู„ุฏูŠู†ุง ุจุฑูˆุชูŠู† ุบูŠุฑ ูˆุธูŠููŠุŒ ูˆูŠุญุฏุซ
652
+
653
+ 171
654
+ 00:12:19,910 --> 00:12:24,130
655
+ ู…ุดูƒู„ุฉ ููŠ ุฅุตู„ุงุญ ุงู„ู€ DNA. ุฃูŠุถุงู‹ุŒ ู„ุฏูŠู†ุง ุฌูŠู†ุงุช ู…ุซุจุทุฉ ู„ู„ูˆุฑู…
656
+
657
+ 172
658
+ 00:12:24,130 --> 00:12:27,630
659
+ ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑุงู‹ ู‡ุงู…ุงู‹ ููŠ ู…ูˆุถูˆุน
660
+
661
+ 173
662
+ 00:12:27,630 --> 00:12:31,090
663
+ ุฅุตู„ุงุญ ุงู„ู€ DNAุŒ ูˆูˆู‚ู ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉุŒ ูˆุญุชู‰
664
+
665
+ 174
666
+ 00:12:31,090 --> 00:12:37,390
667
+ ุงู„ุญุซ ุนู„ู‰ ู…ูˆุช ุงู„ุฎู„ุงูŠุง ุงู„ู…ุจุฑู…ุฌ. ู„ุฏูŠู†ุง ุงู„ู€ p53ุŒ ูˆ ุงู„ู€ p53 ููŠ
668
+
669
+ 175
670
+ 00:12:37,390 --> 00:12:44,060
671
+ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุณุฑุทุงู†ุงุช ู‚ุฏ ูŠุญุฏุซ ููŠู‡ ุทูุฑุฉุŒ ุชู…ุงู…ุŸ
672
+
673
+ 176
674
+ 00:12:44,060 --> 00:12:47,920
675
+ ูˆูŠุชุญูˆู„ ุฅู„ู‰ ุจุฑูˆุชูŠู† ุบูŠุฑ ูˆุธูŠููŠุŒ ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
676
+
677
+ 177
678
+ 00:12:47,920 --> 00:12:52,080
679
+ ุงู„ุฅุตู„ุงุญุŒ ุนู…ู„ูŠุฉ ูˆู‚ู ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉุŒ ูˆุฃูŠุถุงู‹
680
+
681
+ 178
682
+ 00:12:52,080 --> 00:12:54,260
683
+ ุนู…ู„ูŠุฉ ุงู„ุญุซ ุนู„ู‰ ู…ูˆุช ุงู„ุฎู„ุงูŠุง ุงู„ู…ุจุฑู…ุฌุŒ ูƒู„ู‡ุง
684
+
685
+ 179
686
+ 00:12:54,260 --> 00:12:59,440
687
+ ุณุชุชุฃุซุฑ ููŠ ุญุงู„ุฉ ุญุฏูˆุซ ู…ุดูƒู„ุฉ ููŠ p53ุŒ ุชู…ุงู…ุŸ ู„ุฐู„ูƒ
688
+
689
+ 180
690
+ 00:12:59,440 --> 00:13:02,040
691
+ ุฃูŠ ุชุบูŠูŠุฑุงุช ููŠ ุงู„ู€ DNA ู„ู… ุชูุตู„ูŽุญ
692
+
693
+ 181
694
+ 00:13:02,040 --> 00:13:04,700
695
+ ู‚ุจู„ ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉ ุงู„ุชุงู„ูŠ ุชูู…ูŽุฑู‘ูŽุฑ
696
+
697
+ 182
698
+ 00:13:04,700 --> 00:13:08,560
699
+ ุฅู„ู‰ ุงู„ุฎู„ุงูŠุง ุงู„ุจู†ุงุช ูˆุชุจู‚ู‰. ุฅุฐุง ูƒุงู†ุช
700
+
701
+ 183
702
+ 00:13:08,560 --> 00:13:12,420
703
+ ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉุŒ ุญุฏุซุช ู…ุดูƒู„ุฉ ููŠ
704
+
705
+ 184
706
+ 00:13:12,420 --> 00:13:17,320
707
+ ุฅุตู„ุงุญ ุงู„ู€ DNA ูˆู„ู… ุชูุญูŽู„ู‘ ุงู„ู…ุดูƒู„ุฉ ู‚ุจู„ ุงู„ุงู†ู‚ุณุงู… ุงู„ุชุงู„ูŠุŒ
708
+
709
+ 185
710
+ 00:13:17,32
711
+
712
+ 223
713
+ 00:16:14,210 --> 00:16:16,890
714
+ ุงู„ุฃpoptosis elimination of cells by programmed cell
715
+
716
+ 224
717
+ 00:16:16,890 --> 00:16:20,920
718
+ death. ุชุฃุซูŠุฑ ุงู„ุฎู„ุงูŠุง ุนู„ู‰ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ู„ูˆ ุชู… ู…ู†ุน
719
+
720
+ 225
721
+ 00:16:20,920 --> 00:16:24,780
722
+ ุงู„ุฃpoptosis ุจู…ุนู†ู‰: ุญูŠุตูŠุฑ ููŠ ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ
723
+
724
+ 226
725
+ 00:16:24,780 --> 00:16:30,060
726
+ ุงู„ุฎู„ุงูŠุง. ุงู„process ุงู„ุซุงู„ุซุฉ ู‡ูŠ ุงู„ู€differentiation
727
+
728
+ 227
729
+ 00:16:30,060 --> 00:16:34,800
730
+ ุงู„ุฐูŠ ู‡ูˆ ุชู…ุงูŠุฒ ุงู„ุฎู„ุงูŠุง during the process of
731
+
732
+ 228
733
+ 00:16:34,800 --> 00:16:38,140
734
+ differentiation, cells can enter an inactive phase
735
+
736
+ 229
737
+ 00:16:38,140 --> 00:16:41,900
738
+ of cell growth. ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ
739
+
740
+ 230
741
+ 00:16:41,900 --> 00:16:46,780
742
+ differentiation ู„ู„ุฎู„ุงูŠุงุŒ ูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ุจุชุชูˆู‚ู ุนู†
743
+
744
+ 231
745
+ 00:16:46,780 --> 00:16:52,160
746
+ ุงู„ู€proliferation. ุทูŠุจุŒ ู„ูˆ ู…ุงุตุงุฑุดุŒ ู„ูˆ ุตุงุฑ ููŠ ุดูŠุก
747
+
748
+ 232
749
+ 00:16:52,160 --> 00:16:56,580
750
+ ู…ู†ุน ุงู„ู€differentiationุŒ ุฒูŠ ู…ุง ุจูŠุตูŠุฑ ููŠ ุจุนุถ ุญุงู„ุงุช
751
+
752
+ 233
753
+ 00:16:56,580 --> 00:17:01,320
754
+ ุงู„ู„ูˆูƒูŠู…ูŠุง. ุฅุฐุง ูƒุงู† ุชู… ู…ู†ุน ุงู„ู€differentiationุŒ ูŠุจู‚ู‰
755
+
756
+ 234
757
+ 00:17:01,320 --> 00:17:04,940
758
+ ู…ุนู†ุงุชู‡ ุงู„ุฎู„ุงูŠุง ู‡ูŠุถู„ ููŠ ุนู†ุฏู‡ุง ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ู€
759
+
760
+ 235
761
+ 00:17:04,940 --> 00:17:09,140
762
+ proliferation ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง. ุจู‡ุฐู‡
763
+
764
+ 236
765
+ 00:17:09,140 --> 00:17:13,860
766
+ ุงู„ุซู„ุงุซ processes ุงู„ู…ุฎุชู„ูุฉุŒ ู‡ุฐู‡ ุชุคุซุฑ ุนู„ู‰ ุนุฏุฏ
767
+
768
+ 237
769
+ 00:17:13,860 --> 00:17:17,340
770
+ ุงู„ุฎู„ุงูŠุง. DNA mutations that alter the
771
+
772
+ 238
773
+ 00:17:17,340 --> 00:17:21,820
774
+ function of normal genes involved in cell growth,
775
+
776
+ 239
777
+ 00:17:22,080 --> 00:17:25,280
778
+ apoptosis, or differentiation can affect the
779
+
780
+ 240
781
+ 00:17:25,280 --> 00:17:28,280
782
+ balance of cell numbers in the body and lead to
783
+
784
+ 241
785
+ 00:17:28,280 --> 00:17:34,040
786
+ unregulated growth. ุฃูŠ mutations ุชุตูŠุฑ ููŠ ุงู„ู€ genes
787
+
788
+ 242
789
+ 00:17:34,040 --> 00:17:37,760
790
+ ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ููŠ ู‡ุฐู‡ ุงู„ุนู…ู„ูŠุงุช ุงู„ุซู„ุงุซุŒ ู…ู…ูƒู†
791
+
792
+ 243
793
+ 00:17:37,760 --> 00:17:40,980
794
+ ุจุงู„ู†ู‡ุงูŠุฉ ูŠุคุฏูŠ ุฅู„ู‰ unregulated growthุŒ ูƒู…ุง ู‚ู„ู†ุง.
795
+
796
+ 244
797
+ 00:17:40,980 --> 00:17:43,320
798
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู€ cell
799
+
800
+ 245
801
+ 00:17:43,320 --> 00:17:48,280
802
+ proliferation. ุชู…ุงู…ุŒ ูˆุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฎู„ู„ุŒ ูˆุตุงุฑ ููŠ
803
+
804
+ 246
805
+ 00:17:48,280 --> 00:17:50,860
806
+ ุฒูŠุงุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุชุŒ ุจูŠุญุตู„ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง.
807
+
808
+ 247
809
+ 00:17:50,860 --> 00:17:57,630
810
+ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชูุญุฏุซ
811
+
812
+ 248
813
+ 00:17:57,630 --> 00:18:00,890
814
+ ุงู„ุฃpoptosisุŒ ู‡ูŠุฒูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง. ูˆ if the cancer
815
+
816
+ 249
817
+ 00:18:00,890 --> 00:18:03,230
818
+ ููŠ ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุนู„ุงู‚ุชู‡ุง ุจุงู„ู€
819
+
820
+ 250
821
+ 00:18:03,230 --> 00:18:06,930
822
+ differentiationุŒ ุจูŠุจู‚ู‰ ู…ุนู†ุงู‡ุง ุจุฑุถู‡ ู‡ูŠุฒูŠุฏ ุนุฏุฏ
823
+
824
+ 251
825
+ 00:18:06,930 --> 00:18:11,230
826
+ ุงู„ุฎู„ุงูŠุง. ุทูŠุจุŒ ุนุดุงู† ุชูˆุถุญ ุงู„ููƒุฑุฉ ุฃูƒุซุฑ ู‡ู†ุง ุฅู†
827
+
828
+ 252
829
+ 00:18:11,230 --> 00:18:16,030
830
+ ุงู„ู€figure ู‡ุฐุง ุจูŠูˆุถุญ ู‡ู†ุง ุฃู† ุฃุฑุจุน ุฎู„ุงูŠุง ู‚ุงุฏุฑุฉ
831
+
832
+ 253
833
+ 00:18:16,030 --> 00:18:20,610
834
+ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ุฅู„ู‰ ุฃุฑุจุน ุฎู„ุงูŠุง. induction of
835
+
836
+ 254
837
+ 00:18:20,610 --> 00:18:26,460
838
+ apoptosisุŒ ูˆู‡ุชู…ูˆุช. ูˆููŠ ุนู†ุฏู†ุง ุฎู„ูŠุฉ ุฏุฎู„ุช ููŠ
839
+
840
+ 255
841
+ 00:18:26,460 --> 00:18:31,220
842
+ differentiation. ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุฎู„ุงูŠุง ุงู„ุชูŠ ุงู†ู‚ุณู…ุช
843
+
844
+ 256
845
+ 00:18:31,220 --> 00:18:37,260
846
+ ูƒู„ ุฎู„ูŠุฉ ุฃุนุทุช ุฎู„ูŠุชูŠู†ุŒ ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุตุงุฑูˆุง ุซู…ุงู†ูŠุฉุŒ ุชู…ุงู….
847
+
848
+ 257
849
+ 00:18:37,260 --> 00:18:42,340
850
+ ู„ูƒู† ุจุงู„ู…ู‚ุงุจู„ุŒ ููŠ ุนู†ุฏู†ุง ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชุชุŒ ูˆุฎู„ูŠุฉ
851
+
852
+ 258
853
+ 00:18:42,340 --> 00:18:45,840
854
+ ุฏุฎู„ุช ููŠ differentiation. ูŠุจู‚ู‰ ุงู„ุนุฏุฏุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€total
855
+
856
+ 259
857
+ 00:18:45,840 --> 00:18:50,640
858
+ cellsุŒ ุญุงูุธู†ุง ุนู„ูŠู‡ุŒ ุฅู†ู‡ ุถู„ ุชุณุนุฉุŒ ูŠุจู‚ู‰ ุชุณุน ุฎู„ุงูŠุง.
859
+
860
+ 260
861
+ 00:18:50,640 --> 00:18:55,240
862
+ ูˆุถู„ ููŠู†ุง ุชุณุน ุฎู„ุงูŠุงุŒ ู„ุฃู† ููŠ ุนู†ุฏู†ุง ุงู„ุชุญูƒู… ููŠ
863
+
864
+ 261
865
+ 00:18:55,240 --> 00:18:59,300
866
+ ุงู„ู€processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู€
867
+
868
+ 262
869
+ 00:18:59,300 --> 00:19:03,500
870
+ cell number. ุฃุฑุจุน ุฎู„ุงูŠุง ุงู†ู‚ุณู…ุชุŒ ุฃุนุทุชู†ูŠ ุซู…ุงู†ูŠุฉุŒ
871
+
872
+ 263
873
+ 00:19:03,500 --> 00:19:07,710
874
+ ุจุงู„ู…ู‚ุงุจู„ุŒ ููŠ ุนู†ุฏูŠ ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชุชุŒ ูˆุฎู„ูŠุฉ ุฏุฎู„ุช ููŠ
875
+
876
+ 264
877
+ 00:19:07,710 --> 00:19:09,490
878
+ differentiation. ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู„ู…ุง ุจูŠุตูŠุฑ ููŠู‡
879
+
880
+ 265
881
+ 00:19:09,490 --> 00:19:12,930
882
+ differentiationุŒ ุจุชูู‚ุฏ ุงู„ุฎู„ูŠุฉ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ู€
883
+
884
+ 266
885
+ 00:19:12,930 --> 00:19:17,270
886
+ proliferation. ุทูŠุจุŒ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉุŒ ูˆุตุงุฑ ููŠ
887
+
888
+ 267
889
+ 00:19:17,270 --> 00:19:20,730
890
+ ุนู†ุฏู†ุง apoptosis is blocked in one cellุŒ ุฎู„ูŠุฉ ูˆุงุญุฏุฉ
891
+
892
+ 268
893
+ 00:19:20,730 --> 00:19:25,070
894
+ ู…ู† ุงู„ู…ูุชุฑุถ ุฃู† ูŠุตูŠุฑ ู„ู‡ุง apoptosisุŒ ุตุงุฑ ููŠ ุนู†ุฏูŠ
895
+
896
+ 269
897
+ 00:19:25,070 --> 00:19:27,870
898
+ ู…ุดูƒู„ุฉุŒ mutations ููŠ ุงู„ู€genes ุงู„ุชูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€
899
+
900
+ 270
901
+ 00:19:27,870 --> 00:19:32,090
902
+ apoptosisุŒ ูˆุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ุง ู…ุงุชุชุŒ ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง
903
+
904
+ 271
905
+ 00:19:32,090 --> 00:19:37,040
906
+ ุงู„ุฃุฑุจุน dividing cellsุŒ ุงู„ุฃุฑุจุน ุฃุนุทูˆู†ูŠ ุซู…ุงู†ูŠุฉุŒ ุชู…ุงู….
907
+
908
+ 272
909
+ 00:19:37,040 --> 00:19:41,060
910
+ ูˆููŠ ุนู†ุฏูŠ ุซู„ุงุซ ุฎู„ุงูŠุง ู…ุงุชุชุŒ ูˆุฎู„ูŠุฉ ุฏุฎู„ุช ููŠ differentiation.
911
+
912
+ 273
913
+ 00:19:41,060 --> 00:19:45,200
914
+ ู„ูƒู† ุงู„ุฎู„ูŠุฉ ุงู„ุชูŠ ูƒุงู† ู…ู† ุงู„ู…ูุชุฑุถ ุฃู† ุชู…ูˆุชุŒ ูˆู…ุง ู…ุงุชุชุŒ ุตุงุฑุช ู‡ุฐู‡
915
+
916
+ 274
917
+ 00:19:45,200 --> 00:19:50,010
918
+ ุงู„ุฎู„ูŠุฉ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู…ุŒ ุชู…ุงู…ุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ุขู†
919
+
920
+ 275
921
+ 00:19:50,010 --> 00:19:54,850
922
+ ุงู„ุฎู„ุงูŠุงุŒ ุจุฏู„ ู…ุง ุญุงูุธู†ุง ุนู„ูŠู‡ู… ุชุณุน ุฎู„ุงูŠุงุŒ ุตุงุฑ ููŠ ุนู†ุฏู†ุง
923
+
924
+ 276
925
+ 00:19:54,850 --> 00:20:00,450
926
+ ุฃุญุฏ ุนุดุฑ ุฎู„ูŠุฉุŒ ุฒุงุฏูˆุง ุฎู„ูŠุชูŠู†ุŒ ุชู…ุงู…. ุจุฌุงู†ุจ ุงู„ููƒุฑุฉ
927
+
928
+ 277
929
+ 00:20:00,450 --> 00:20:02,930
930
+ ุงู„ุชูŠ ุชูˆุถุญ ุงู„ููƒุฑุฉุŒ ูƒูŠู ุงู„ู€ three
931
+
932
+ 278
933
+ 00:20:02,930 --> 00:20:07,930
934
+ processesุŒ ูˆูƒูŠู ู…ู…ูƒู† ุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู…ุญุงูุธุฉ ุนู„ู‰ ุงู„ู€
935
+
936
+ 279
937
+ 00:20:07,930 --> 00:20:11,090
938
+ cell number. gene mutations which can lead to
939
+
940
+ 280
941
+ 00:20:11,090 --> 00:20:16,190
942
+ cancer. ุทุจุนุงู‹ุŒ ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†ุฏู†ุง mutations ููŠ
943
+
944
+ 281
945
+ 00:20:16,190 --> 00:20:21,270
946
+ genes ู…ุฎุชู„ูุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุฏุงุฎู„ ุงู„ุฌุณู…. ุทุจุŒ ู‡ู„ ูƒู„ mutation
947
+
948
+ 282
949
+ 00:20:21,270 --> 00:20:27,410
950
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancerุŸ ุทุจุนุงู‹ ู„ุงุŒ ูŠุจู‚ู‰ ุงู„ู€
951
+
952
+ 283
953
+ 00:20:27,410 --> 00:20:31,870
954
+ mutation ุงู„ุชูŠ ูŠุฌุจ ุฃู† ุชุตูŠุฑุŒ ูŠุฌุจ ุฃู† ุชุตูŠุฑ ููŠ gene ุงู„ุฐูŠ
955
+
956
+ 284
957
+ 00:20:31,870 --> 00:20:36,250
958
+ ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ู€processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ุชูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
959
+
960
+ 285
961
+ 00:20:36,250 --> 00:20:40,570
962
+ ุงู„ุชูŠ ุชู„ุนุจ ุฏูˆุฑ ููŠ ู…ูˆุถูˆุน ุงู„ู€cell number.
963
+
964
+ 286
965
+ 00:20:40,570 --> 00:20:45,150
966
+ ูŠุจู‚ู‰ุŒ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู„ูˆ ุตุงุฑ ููŠู†ุง mutation in the
967
+
968
+ 287
969
+ 00:20:45,150 --> 00:20:50,040
970
+ hemoglobin geneุŒ ู‡ุฐุง ู…ุด ู‡ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancerุŒ ู„ูƒู†
971
+
972
+ 288
973
+ 00:20:50,040 --> 00:20:55,680
974
+ ู‡ูŠุคุซุฑ ุนู„ู‰ ุงู„ู€function ู„ู„ู‡ูŠู…ูˆุฌู„ูˆุจูŠู†. ุงู„ู€function of
975
+
976
+ 289
977
+ 00:20:55,680 --> 00:20:57,640
978
+ hemoglobin does not affect cell growth,
979
+
980
+ 290
981
+ 00:20:57,640 --> 00:21:01,680
982
+ differentiation or death, and does not lead to
983
+
984
+ 291
985
+ 00:21:01,680 --> 00:21:07,720
986
+ unregulated growth of blood cellsุŒ ุชู…ุงู…ุŸ ูุจุงู„ุชุงู„ูŠ
987
+
988
+ 292
989
+ 00:21:07,720 --> 00:21:12,340
990
+ ุงู„ู€hemoglobin gene is not a proto-oncogene. ูŠุจู‚ู‰
991
+
992
+ 293
993
+ 00:21:12,340 --> 00:21:15,960
994
+ ุฅุฐุง ูƒุงู†ุช ุจูŠุตูŠุฑ ููŠู†ุง cancerุŒ ุจูŠุตูŠุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ู€
995
+
996
+ 294
997
+ 00:21:15,960 --> 00:21:19,920
998
+ genes ุงู„ุชูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€processes ุงู„ุชูŠ ุญูƒูŠู†ุง
999
+
1000
+ 295
1001
+ 00:21:19,920 --> 00:21:24,460
1002
+ ุนู„ูŠู‡ุงุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€cell growthุŒ ุงู„ู€apoptosisุŒ ุฃูˆ ุงู„ู€
1003
+
1004
+ 296
1005
+ 00:21:24,460 --> 00:21:29,410
1006
+ differentiation. ูˆ ู‡ุฐู‡ ุงู„ู€genes ุงู„ุชูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
1007
+
1008
+ 297
1009
+ 00:21:29,410 --> 00:21:33,650
1010
+ ุจุงู„ุชู„ุงุช processes ุงู„ุชูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู…ุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1011
+
1012
+ 298
1013
+ 00:21:33,650 --> 00:21:37,730
1014
+ oncogenes ูˆุงู„ู€tumor suppressor genes. ุงู„ู€growth
1015
+
1016
+ 299
1017
+ 00:21:37,730 --> 00:21:40,790
1018
+ is regulated by both positive and negative
1019
+
1020
+ 300
1021
+ 00:21:40,790 --> 00:21:47,450
1022
+ molecular factors. ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู€growthุŒ ูŠุจู‚ู‰
1023
+
1024
+ 301
1025
+ 00:21:47,450 --> 00:21:53,270
1026
+ ููŠ ุนู†ุฏู†ุง enhancement of positive factorsุŒ ุชู…ุงู…ุŸ ุฃู†
1027
+
1028
+ 302
1029
+ 00:21:53,270 --> 00:21:58,600
1030
+ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุฒูŠุงุฏุฉ ููŠ ุงู„ู€Growth FactorsุŒ ุชู…ุงู….
1031
+
1032
+ 303
1033
+ 00:21:58,600 --> 00:22:01,740
1034
+ ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Cell GrowthุŒ Cell
1035
+
1036
+ 304
1037
+ 00:22:01,740 --> 00:22:08,020
1038
+ Proliferation. ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง.
1039
+
1040
+ 305
1041
+ 00:22:08,020 --> 00:22:11,020
1042
+ ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Depletion of Negative Factors
1043
+
1044
+ 306
1045
+ 00:22:11,020 --> 00:22:13,880
1046
+ is required. ุชู…ุงู…ุŒ ุฒูŠ ู…ุง ุชูˆูŠ ุดูู†ุงุŒ ุฃู†ู‡ ูŠุตูŠุฑ ููŠู†ุง
1047
+
1048
+ 307
1049
+ 00:22:13,880 --> 00:22:17,440
1050
+ ู…ุซู„ุงู‹ Depletion of Negative FactorsุŒ ุงู„ุชูŠ ู‡ูŠ ุงู„ู€
1051
+
1052
+ 308
1053
+ 00:22:17,440 --> 00:22:21,360
1054
+ factors ุงู„ุชูŠ ุชู‚ู„ู„ ู…ู† ุนุฏุฏ ุงู„ุฎู„ุงูŠุงุŒ ุฒูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ู…ูƒู†
1055
+
1056
+ 309
1057
+ 00:22:21,360 --> 00:22:26,370
1058
+ ุชูƒูˆู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุชูŠ ุชุนู…ู„ induction of apoptosis. ู‡ุคู„ุงุก
1059
+
1060
+ 310
1061
+ 00:22:26,370 --> 00:22:30,190
1062
+ ุงู„ูˆุงู‚ุนุงุช ู‡ูŠ ู†ูˆุนุงุช ู…ู† ุงู„ุฌูŠู†ุงุชุŒ ูˆูƒู„ ุฌูŠู† ุจุงุณุชุฎุฏุงู… ุงู„ุจูŠุช
1063
+
1064
+ 311
1065
+ 00:22:30,190 --> 00:22:35,650
1066
+ ูˆุฌูŠู† ุงู„ู€Splice ูŠุญุชูˆูŠ ุนู„ู‰ ุงุซู†ูŠู† ู„ูƒู„ ุฌูŠู†ุŒ ูˆุจุงู„ุชุงู„ูŠ
1067
+
1068
+ 312
1069
+ 00:22:35,650 --> 00:22:40,510
1070
+ ู‡ู†ุงูƒ ุงุซู†ุงู† ู…ุฎุชู„ูุงู† ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ
1071
+
1072
+ 313
1073
+ 00:22:40,510 --> 00:22:40,790
1074
+ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ
1075
+
1076
+ 314
1077
+ 00:22:40,790 --> 00:22:41,910
1078
+ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ
1079
+
1080
+ 315
1081
+ 00:22:41,910 --> 00:22:44,490
1082
+ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ
1083
+
1084
+ 316
1085
+ 00:22:44,490 --> 00:22:53,010
1086
+ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ุฌูŠู† ู…ู…ูŠุฒ ู„ู„ุฌูŠู†ุงุช.
1087
+
1088
+ 317
1089
+ 00:22:53,010 --> 00:22:57,730
1090
+ ุงู„ู€genes ุงู„ุชูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ู…ู…ูƒู† ููŠ ุฒูŠุงุฏุฉ ุงู„ู€
1091
+
1092
+ 318
1093
+ 00:22:57,730 --> 00:23:01,370
1094
+ proliferation ู„ู„ุฎู„ุงูŠุงุŒ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฒูŠ ุงู„ุจุฑูˆุชูŠู†ุงุช
1095
+
1096
+ 319
1097
+ 00:23:01,370 --> 00:23:04,130
1098
+ ุงู„ุชูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€cell cycleุŒ ูˆุฏุฎูˆู„
1099
+
1100
+ 320
1101
+ 00:23:04,130 --> 00:23:08,830
1102
+ ุงู„ุฎู„ูŠุฉ ููŠ ุงู„ุงู†ู‚ุณุงู…. ุงู„ุจุฑูˆุชูŠู†ุŒ ุงู„ู€product is produced
1103
+
1104
+ 321
1105
+ 00:23:08,830 --> 00:23:12,270
1106
+ in higher quantities or has increased activity.
1107
+
1108
+ 322
1109
+ 00:23:12,270 --> 00:23:17,070
1110
+ ุจุฅู…ุง ูŠุฒูŠุฏุŒ ู…ู…ูƒู† ุงู„ู€growth factors ู…ุซู„ุงู‹ุŒ ุฃูˆ ู…ู…ูƒู†
1111
+
1112
+ 323
1113
+ 00:23:17,070 --> 00:23:21,550
1114
+ ุชุฒูŠุฏ activity. and therefore acts in a
1115
+
1116
+ 324
1117
+ 00:23:21,550 --> 00:23:25,710
1118
+ dominant manner to initiate tumor formation.
1119
+
1120
+ 325
1121
+ 00:23:25,710 --> 00:23:30,090
1122
+ ูŠุจู‚ู‰ุŒ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ gene ูˆุงุญุฏ ู…ู† ุงู„ู€two genes
1123
+
1124
+ 326
1125
+ 00:23:30,090 --> 00:23:34,610
1126
+ ุงู„ู…ูˆุฌูˆุฏูŠู†ุŒ ู„ูˆ gene ูˆุงุญุฏ ุตุงุฑ ููŠู‡ ู…ุดูƒู„ุฉุŒ ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ู‡ุฐุง
1127
+
1128
+ 327
1129
+ 00:23:34,610 --> 00:23:38,270
1130
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ cancer. ูŠุจู‚ู‰ุŒ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุฃู† ุงู„ู€two
1131
+
1132
+ 328
1133
+ 00:23:38,270 --> 00:23:44,970
1134
+ copies ูŠุตูŠุฑ ููŠู‡ู… ู…ุดูƒู„ุฉุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ุŒ a mutation ููŠ
1135
+
1136
+ 329
1137
+ 00:23:44,970 --> 00:23:51,830
1138
+ gene ูˆุงุญุฏุŒ ู‡ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุงู„ูƒู…ูŠุงุชุŒ ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ
1139
+
1140
+ 330
1141
+ 00:23:51,830 --> 00:23:55,350
1142
+ ููŠ ุนู†ุฏู†ุง ุฒูŠุงุฏุฉ activity ู„ู‡ุฐุง
1143
+
1144
+ 331
1145
+ 00:23:55,350 --> 00:23:59,710
1146
+ ุงู„ุจุฑูˆุชูŠู†ุŒ ูˆุจุงู„ุชุงู„ูŠุŒ ุนุดุงู† ู‡ูŠู‚ูˆู„ูˆุง they act in a
1147
+
1148
+ 332
1149
+ 00:23:59,710 --> 00:24:02,990
1150
+ dominant manner to initiate tumor formation. a
1151
+
1152
+ 333
1153
+ 00:24:02,990 --> 00:24:06,770
1154
+ mutation in only one allele is sufficient for an
1155
+
1156
+ 334
1157
+ 00:24:06,770 --> 00:24:11,390
1158
+ effect. ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ specific growth factor ุฃูˆ growth
1159
+
1160
+ 335
1161
+ 00:24:11,390 --> 00:24:14,850
1162
+ factor receptor. ูŠุนู†ูŠุŒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation
1163
+
1164
+ 336
1165
+ 00:24:14,850 --> 00:24:21,720
1166
+ ููŠ growth factor ููŠ one alleleุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ู‡ูŠุตูŠุฑ
1167
+
1168
+ 337
1169
+ 00:24:21,720 --> 00:24:25,680
1170
+ ููŠ ุนู†ุฏูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ูƒู…ูŠุงุช ู…ู† ุงู„ู€growth factor ุงู„ุชูŠ
1171
+
1172
+ 338
1173
+ 00:24:25,680 --> 00:24:30,420
1174
+ ุชู†ุชุฌุŒ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ู€signals ุงู„ุชูŠ ุชุตู„ ู„ู„ุฎู„ูŠุฉ
1175
+
1176
+ 339
1177
+ 00:24:30,420 --> 00:24:33,100
1178
+ ู„ู„ุฏุฎูˆู„ ููŠ ุงู„ู€cell cycleุŒ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุฒูŠุฏ cell
1179
+
1180
+ 340
1181
+ 00:24:33,100 --> 00:24:37,040
1182
+ proliferation. ุฃูŠุถู‹ุงุŒ ุงู„ู€growth factor receptorุŒ ุจุฑุถู‡
1183
+
1184
+ 341
1185
+ 00:24:37,040 --> 00:24:40,660
1186
+ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุณุงุจู‚ุงู‹ุŒ ุฃู†ู‡ ุฒูŠุงุฏุฉ ููŠ ุงู„ู€receptor
1187
+
1188
+ 342
1189
+ 00:24:40,660 --> 00:24:43,920
1190
+ ู…ุนู†ุงุชู‡ ุจูŠุฎู„ูŠ ุนู†ุฏูŠ ุญุชู‰ very low concentrations of
1191
+
1192
+ 343
1193
+ 00:24:43,920 --> 00:24:47,860
1194
+ growth factorุŒ ุจูŠุฎู„ูŠ ุงู„ุฎู„ูŠุฉ ุชุณุชุฌูŠุจุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ุฎู„ูŠุฉ
1195
+
1196
+ 344
1197
+ 00:24:47,860 --> 00:24:51,820
1198
+ ุชุฏุฎู„ ุจุฑุถู‡ ููŠ ุงู„ู€cell cycle ูˆproliferation. ุจุงู„ู†ุณุจุฉ
1199
+
1200
+ 345
1201
+ 00:24:51,820 --> 00:24:54,780
1202
+ ู„ู„ุชูˆู…ูˆุฑ subresor genesุŒ code for proteins that
1203
+
1204
+ 346
1205
+ 00:24:54,780 --> 00:24:58,660
1206
+ play a role in inhibiting both growth and tumor
1207
+
1208
+ 347
1209
+ 00:24:58,660 --> 00:25:02,780
1210
+ formation. ููŠ ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุชุŒ ูŠู†ุชุฌ ุนู†ู‡ุง ุจุฑูˆุชูŠู†ุงุช ุชู…ู†ุน
1211
+
1212
+ 348
1213
+ 00:25:02,780 --> 00:25:06,280
1214
+ ู…ู† ุญุฏูˆุซ ุงู„ู€cancerุŒ ุฒูŠ ู…ุง ุญูƒูŠู†ุงุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุซุงู„ ุงู„ู€
1215
+
1216
+ 349
1217
+ 00:25:06,280 --> 00:25:11,920
1218
+ p53ุŒ ูˆุฃูŠุถุงู‹ ูŠุนุชุจุฑ tumor suppressor gene ุจุฑุถู‡ุŒ ุงู„ู„ูŠ
1219
+
1220
+ 350
1221
+ 00:25:11,920 --> 00:25:16,890
1222
+ ู‡ูˆ ุงู„ู€BRCAุŒ ู„ุฃู† ู„ู‡ู… ุนู„ุงู‚ุฉ ููŠ ุงู„ู€repair mechanisms.
1223
+
1224
+ 351
1225
+ 00:25:16,890 --> 00:25:19,390
1226
+ ู„ุฐู„ูƒุŒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠุŒ ูŠุจู‚ู‰ ู‡ุฐู‡ ุชุนุชุจุฑ tumor
1227
+
1228
+ 352
1229
+ 00:25:19,390 --> 00:25:23,110
1230
+ suppressor genes. ุทูŠุจุŒ loss of growth inhibition
1231
+
1232
+ 353
1233
+ 00:25:23,110 --> 00:25:26,010
1234
+ occurs when mutations cause a loss of function of
1235
+
1236
+ 354
1237
+ 00:25:26,010 --> 00:25:28,770
1238
+ these genes. ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ุนู†ุฏู†ุง loss of growth
1239
+
1240
+ 355
1241
+ 00:25:28,770 --> 00:25:33,310
1242
+ inhibition. ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ู€two
1243
+
1244
+ 356
1245
+ 00:25:33,310 --> 00:25:36,890
1246
+ genesุŒ ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง loss of function.
1247
+
1248
+ 357
1249
+ 00:25:37,670 --> 00:25:41,790
1250
+ ูŠุญุฏุซ ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€two genes. ุนุดุงู† ู‡ูŠูƒุŒ ุงู„ู€tumor
1251
+
1252
+ 358
1253
+ 00:25:41,790 --> 00:25:46,270
1254
+ suppressor mutations are mainly recessive in
1255
+
1256
+ 359
1257
+ 00:25:46,270 --> 00:25:50,970
1258
+ nature. ูŠุจู‚ู‰ุŒ they are mainly recessive in nature
1259
+
1260
+ 360
1261
+ 00:25:50,970 --> 00:25:54,930
1262
+ because one intact allele is usually sufficient to
1263
+
1264
+ 361
1265
+ 00:25:54,930 --> 00:25:59,540
1266
+ inhibit. ูŠุจู‚ู‰ ู‡ู†ุงุŒ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation ููŠ gene
1267
+
1268
+ 362
1269
+ 00:25:59,540 --> 00:26:04,880
1270
+ ูˆุงุญุฏ ูู‚ุทุŒ ุชู…ุงู…ุŒ ูˆุงู„ุฌูŠู† ุงู„ุขุฎุฑ ุณู„ูŠู…ุŒ ุงู„ุฌูŠู† ุงู„ุขุฎุฑ ู…ู…ูƒู†
1271
+
1272
+ 363
1273
+ 00:26:04,880 --> 00:26:08,820
1274
+ ูŠู†ุชุฌ ุนู†ุฏูŠ ุจุฑูˆุชูŠู†ุงุชุŒ ูˆู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ูƒุงููŠุฉ ุฃู† ุชู‚ูˆู…
1275
+
1276
+ 364
1277
+ 00:26:08,820 --> 00:26:14,860
1278
+ ุจุงู„ูˆุธูŠูุฉ ูˆุชุนู…ู„ suppression ู„ุญุฏูˆุซ ุงู„ู€cancer. ุนุดุงู†
1279
+
1280
+ 365
1281
+ 00:26:14,860 --> 00:26:17,920
1282
+ ู‡ูŠู‚ูˆู„ูˆุง ุฅู† ู‡ูŠ mainly recessiveุŒ ูŠุนู†ูŠ ู„ุงุฒู… ูŠุตูŠุฑ ุนู†ุฏูŠ
1283
+
1284
+ 366
1285
+ 00:26:17,920 --> 00:26:23,160
1286
+ mutation ููŠ ุงู„ู€two alleles. thus both alleles of
1287
+
1288
+ 367
1289
+ 00:26:23,160 --> 00:26:25,500
1290
+ the gene must be mutated before the loss of
1291
+
1292
+ 368
1293
+ 00:26:25,500 --> 00:26:29,900
1294
+ function is actually seen phenotypically. ู„ุงุฒู… ูŠุตูŠุฑ
1295
+
1296
+ 369
1297
+ 00:26:29,900 --> 00:26:34,750
1298
+ ููŠู‡ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€two alleles. ุงู„ูˆุซูŠู‚ุฉ ุงู„ุฃุฎูŠุฑุฉ ุชุดูŠุฑ
1299
+
1300
+ 370
1301
+ 00:26:34,750 --> 00:26:39,130
1302
+ ุฅู„ู‰ ุฃู† ู‡ู†ุงูƒ ู…ูŠูƒุงู†ูŠุฒู… ู…ุฎุชู„ู ู„ู€tumor suppressor
1303
+
1304
+ 371
1305
+ 00:26:39,130 --> 00:26:43,150
1306
+ genes ูŠุณู…ู‰ Haploinsufficiency. ูˆุทุจุนุงู‹ ุจุฑุถู‡ ู…ู†
1307
+
1308
+ 372
1309
+ 00:26:43,150 --> 00:26:48,190
1310
+ ุงู„ุฏุฑุงุณุงุช ุงู„ุชูŠ ุชู…ุชุŒ ูˆุงู„ุชุฌุงุฑุจ ุงู„ุชูŠ ุงู„ุขู† ู…ูˆุฌูˆุฏุฉุŒ ุฃู†ู‡
1311
+
1312
+ 373
1313
+ 00:26:48,190 --> 00:26:52,550
1314
+ ู…ู…ูƒู† ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ ููŠ ุงู„ู€tumor suppressor genes
1315
+
1316
+ 374
1317
+ 00:26:52,550 --> 00:26:57,690
1318
+ mutation ููŠ one allele onlyุŒ ู‡ุฐุง ู…ุนู†ุงุชู‡ ู…ู…ูƒู† ูŠุคุฏูŠ
1319
+
1320
+ 375
1321
+ 00:26:57,690 --> 00:27:01,810
1322
+ ุฃูŠุถุงู‹ ุฅู„ู‰ ุญุฏูˆุซ cancer. ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ุง
1323
+
1324
+ 376
1325
+ 00:27:01,810 --> 00:27:05,690
1326
+ haploinsufficiencyุŒ ุชู…ุงู…ุŸ ูˆ ุจุงู„ู€haploinsufficiencyุŒ
1327
+
1328
+ 377
1329
+ 00:27:05,690 --> 00:27:11,070
1330
+ one mutated allele can lead to the cancer
1331
+
1332
+ 378
1333
+ 00:27:11,070 --> 00:27:18,090
1334
+ phenotype. ู„ูŠุดุŸ ู„ุฃู† ุนุดุงู† ุงู„ูˆุธูŠูุฉ ุนู†ุฏู†ุง ุชุชู…ุŒ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู†ุง
1335
+
1336
+ 379
1337
+ 00:27:18,090 --> 00:27:24,790
1338
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู†. ูˆูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐู‡ ุชู†ุชุฌ
1339
+
1340
+ 380
1341
+ 00:27:24,790 --> 00:27:27,770
1342
+ ู…ู† ุงู„ู€both alleles. ูŠุจู‚ู‰ ู„ุงุฒู… ุงู„ู€both alleles
1343
+
1344
+ 381
1345
+ 00:27:27,770 --> 00:27:31,670
1346
+ ูŠูƒูˆู†ูˆุง ูุนุงู„ูŠู†ุŒ ู…ุง ููŠุด ููŠู‡ู… mutationsุŒ ุนุดุงู† ูŠู†ุชุฌูˆุง
1347
+
1348
+ 382
1349
+ 00:27:31,670 --> 00:27:35,630
1350
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ุงู„ุจุฑูˆุชูŠู†ุŒ ูˆู‡ุฐู‡ ุงู„ูƒู…ูŠุฉ ุชูƒูˆู† ูƒุงููŠุฉ
1351
+
1352
+ 383
1353
+ 00:27:35,630 --> 00:27:40,050
1354
+ ู„ุฃุฏุงุก ุงู„ู€functionุŒ ุงู„ุชูŠ ู‡ูŠ tumor suppression. ุทุจุŒ ู„ูˆ
1355
+
1356
+ 384
1357
+ 00:27:40,050 --> 00:27:44,470
1358
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutation ููŠ ุฌูŠู† ูˆุงุญุฏุŒ ุชู…ุงู…ุŒ ููŠ allele
1359
+
1360
+ 385
1361
+ 00:27:44,470 --> 00:27:49,470
1362
+ ูˆุงุญุฏุŒ ูŠุจู‚ู‰ ุงู„ุขู† ู‡ูŠุถู„ ุนู†ุฏู†ุง ูˆุงุญุฏ ุณู„ูŠู…. ู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง
1363
+
1364
+ 386
1365
+ 00:27:49,470 --> 00:27:54,170
1366
+ ุฌูŠู† ูˆุงุญุฏ ุณู„ูŠู…ุŒ ูˆู‡ูŠู†ุชุฌ ุงู„ุจุฑูˆุชูŠู†ุŒ ู„ูƒู† ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู†
1367
+
1368
+ 387
1369
+ 00:27:54,170 --> 00:27:58,810
1370
+ ูƒู…ูŠุชู‡ ุบูŠุฑ ูƒุงููŠุฉ ู„ุฅุญุฏุงุซ ุฃูˆ ู„ุฃุฏุงุก ุงู„ู€function
1371
+
1372
+ 388
1373
+ 00:27:58,810 --> 00:28:02,910
1374
+ ุงู„ู…ุทู„ูˆุจุฉ ู…ู†ู‡ุŒ ูˆู‡ูŠ tumor suppression. ูˆู‡ุฐุง ุงู„ู„ูŠ
1375
+
1376
+ 389
1377
+ 00:28:02,910 --> 00:28:07,530
1378
+ ุจู†ุณู…ูŠู‡ haploinsufficiency. the term suggests one
1379
+
1380
+ 390
1381
+ 00:28:07,530 --> 00:28:12,110
1382
+ normal allele produces half of the quantity of
1383
+
1384
+ 391
1385
+ 00:28:12,110 --> 00:28:15,270
1386
+ protein product produced by normal cells, and this
1387
+
1388
+ 392
1389
+ 00:28:15,270 --> 00:28:18,800
1390
+ is not enough to suppress tumor formation in these
1391
+
1392
+ 393
1393
+ 00:28:18,800 --> 00:28:24,220
1394
+ cases. ู‡ุฐุง ุงู„ู€figure ูŠุนู†ูŠ ุจูŠูˆุถุญ ุงู„ู€insufficiency.
1395
+
1396
+ 394
1397
+ 00:28:24,220 --> 00:28:29,500
1398
+ ุชู…ุงู…ุŒ ุฅุฐุง ูƒุงู† ุนู†ุฏู†ุง both alleles ุณุงู„ู…ูŠู†ุŒ wild typeุŒ
1399
+
1400
+ 395
1401
+ 00:28:29,500 --> 00:28:32,480
1402
+ ูŠุจู‚ู‰ ูƒู…ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€protein ุงู„ุชูŠ ุณุชู†ุชุฌ ุณุชูƒูˆู†
1403
+
1404
+ 396
1405
+ 00:28:32,480 --> 00:28:37,320
1406
+ ูƒุงููŠุฉุŒ ูˆู‡ูŠุนุทูŠู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€phenotypeุŒ ุณุชูƒูˆู† wild
1407
+
1408
+ 397
1409
+ 00:28:37,320 --> 00:28:42,190
1410
+ typeุŒ ุดุฎุต ุทุจูŠุนูŠุŒ ู…ุง ููŠุด ููŠู‡ ู…ุดูƒู„ุฉ. ุทูŠุจุŒ ู„ูˆ ูƒุงู† ููŠ ุนู†ุฏู†ุง
1411
+
1412
+ 398
1413
+ 00:28:42,190 --> 00:28:47,330
1414
+ ู†ู‚ุต ููŠ ุงู„ู€ ุฃูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€two allelesุŒ ูŠุจู‚ู‰ ู‡ุฐุง
1415
+
1416
+ 399
1417
+ 00:28:47,330 --> 00:28:51,630
1418
+ ู‡ูŠุคุฏูŠ ุฅู„ู‰ mutantุŒ ุงู„ู„ูŠ ู‡ูˆ phenotype mutantุŒ ูŠุจู‚ู‰
1419
+
1420
+ 400
1421
+ 00:28:51,630 --> 00:28:54,83
1422
+
1423
+ 445
1424
+ 00:32:03,870 --> 00:32:10,210
1425
+ ูˆุงู„ุขู† ุตุงุฑ ููŠู‡ ุทุจุนุง ุฏู„ูŠู„ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ we
1426
+
1427
+ 446
1428
+ 00:32:10,210 --> 00:32:12,870
1429
+ now know that having children reduces breast
1430
+
1431
+ 447
1432
+ 00:32:12,870 --> 00:32:16,150
1433
+ cancer risk for women compared with not having
1434
+
1435
+ 448
1436
+ 00:32:16,150 --> 00:32:20,860
1437
+ children. ุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ูˆู‚ุช ุงู„ุญูŠุถ ู„ู„ู…ุฑุฃุฉ
1438
+
1439
+ 449
1440
+ 00:32:20,860 --> 00:32:24,740
1441
+ ุงู„ุฃูˆู„ู‰ุŒ ูˆุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ุงู„ุงู†ุชุดุงุฑ ูˆุงู„ุงู†ุชู‡ุงุก ู…ู†
1442
+
1443
+ 450
1444
+ 00:32:24,740 --> 00:32:28,180
1445
+ ุณู„ุณู„ุงุชู‡ุง ุงู„ู‡ุฑู…ูˆู†ูŠุฉ. ุฃูŠุถู‹ุง ุชุฃุซูŠุฑ ุนู„ู‰ ุญุฑุงุฑุฉ
1446
+
1447
+ 451
1448
+ 00:32:28,180 --> 00:32:33,420
1449
+ ุงู„ุฌุณู…. ูŠุจู‚ู‰ ูƒู…ุงู† ุงู„ู„ูŠ ู‡ูˆ ุนู…ุฑ ุงู„ู…ุฑุฃุฉุŒ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡
1450
+
1451
+ 452
1452
+ 00:32:33,420 --> 00:32:37,820
1453
+ ุฃูˆู„ ุญู…ู„ุŒ ูˆุฃูŠุถู‹ุง ุจุฑุถู‡ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡ ูŠุนู†ูŠ
1454
+
1455
+ 453
1456
+ 00:32:37,820 --> 00:32:44,840
1457
+ ุงู†ู‚ุทุงุน ู„ู„ุฏูˆุฑุฉุŒ ูˆุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ุงู„ู„ูŠ ุชุนุฑุถุช ููŠู‡ุง
1458
+
1459
+ 454
1460
+ 00:32:44,840 --> 00:32:49,200
1461
+ ุงู„ู…ุฑุฃุฉ ู„ู„ู‡ุฑู…ูˆู†ุงุช. ู‡ุฏูˆู„ ุจุฑุถู‡ ุทุจุนู‹ุง ุจูŠู„ุนุจูˆุง ุฏูˆุฑ ููŠ
1462
+
1463
+ 455
1464
+ 00:32:49,200 --> 00:32:53,500
1465
+ ู…ูˆุถูˆุน ุงู„ุณุฑุทุงู† ูˆุญุฏูˆุซ ุงู„ุณุฑุทุงู†. ูŠุจู‚ู‰ ูƒูŠู ู‡ุฐู‡
1466
+
1467
+ 456
1468
+ 00:32:53,500 --> 00:32:58,300
1469
+ ู„ุงุญุธูˆู‡ุง. feel stomach cancer is a predominant cancer
1470
+
1471
+ 457
1472
+ 00:32:58,300 --> 00:33:01,900
1473
+ in the Japanese population. ู†ุณุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุณุฑุทุงู† ุงู„ู…ุนุฏุฉ
1474
+
1475
+ 458
1476
+ 00:33:01,900 --> 00:33:08,480
1477
+ ููŠ ุงู„ูŠุงุจุงู† ุนุงู„ูŠุฉ. ูˆุทุจุนู‹ุง ู‡ุฐู‡ ู…ุฑุชุจุทุฉ ุจุงู„ุนุงุฏุงุช
1478
+
1479
+ 459
1480
+ 00:33:08,480 --> 00:33:14,020
1481
+ ุงู„ุบุฐุงุฆูŠุฉ ู„ู„ูŠุงุจุงู†ูŠูŠู†. ูŠุจู‚ู‰ ุณุฑุทุงู† ุงู„ู…ุนุฏุฉ ููŠ ุงู„ู€
1482
+
1483
+ 460
1484
+ 00:33:14,020 --> 00:33:17,240
1485
+ Japanese population ุนุงู„ูŠุฉุŒ ูˆminor cancer in the
1486
+
1487
+ 461
1488
+ 00:33:17,240 --> 00:33:21,700
1489
+ population of USA. ู„ูƒู† ููŠ ุฃู…ุฑูŠูƒุงุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุนุฏุงุฏ
1490
+
1491
+ 462
1492
+ 00:33:21,700 --> 00:33:25,500
1493
+ ู‚ู„ูŠู„ุฉ ู„ู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠุตุงุจูˆุง ุจุณุฑุทุงู† ุงู„ู…ุนุฏุฉ. ุงู„ุขู†
1494
+
1495
+ 463
1496
+ 00:33:25,500 --> 00:33:28,100
1497
+ ูƒูŠู.. ูƒูŠู ุฑุงุจุทูˆุง ุงู„ู„ูŠ ู‡ูˆ ู…ูˆุถูˆุน ุงู„ู†ุธุงู… ุงู„ุบุฐุงุฆูŠ ุจูŠู‡ุŒ ุงู„ู„ูŠ
1498
+
1499
+ 464
1500
+ 00:33:28,100 --> 00:33:31,020
1501
+ ู‡ูˆ ุงู„ู€..ุงู„ุณุฑุทุงู†ุŸ ู…ู† ุฎู„ุงู„ ุทุจุนู‹ุง ุงู„ู€.. ุงู„ู†ุงุณ ุงู„ู„ูŠ
1502
+
1503
+ 465
1504
+ 00:33:31,020 --> 00:33:34,550
1505
+ ู‡ุงุฌุฑูˆุง. ู„ู‚ูˆุง ุฅู†ู‡ ุงู„ู€ risk of stomach cancer in
1506
+
1507
+ 466
1508
+ 00:33:34,550 --> 00:33:37,110
1509
+ Japanese people who have migrated to the USA
1510
+
1511
+ 467
1512
+ 00:33:37,110 --> 00:33:42,370
1513
+ decreases only if they adopt an American diet, but not
1514
+
1515
+ 468
1516
+ 00:33:42,370 --> 00:33:46,550
1517
+ if they retain a Japanese diet. ูŠุจู‚ู‰ ุงู„ูŠุงุจุงู†ูŠูŠู†
1518
+
1519
+ 469
1520
+ 00:33:46,550 --> 00:33:52,400
1521
+ ุงู„ู„ูŠ ู‡ุงุฌุฑูˆุง ู„ุฃู…ุฑูŠูƒุงุŒ ูˆุธู„ู‘ูˆุง ู…ู„ุชุฒู…ูŠู† ุจุนุงุฏุงุชู‡ู… ุงู„ุบุฐุงุฆูŠุฉ
1522
+
1523
+ 470
1524
+ 00:33:52,400 --> 00:33:58,460
1525
+ ูˆุจุฃู†ูˆุงุน ุงู„ุทุนุงู… ุงู„ู„ูŠ ุจูŠุชู†ุงูˆู„ูˆู‡ุงุŒ ู‡ุฏูˆู„ ุถู„ุช ุนู†ุฏู‡ู… ู†ุณุจุฉ
1526
+
1527
+ 471
1528
+ 00:33:58,460 --> 00:34:03,560
1529
+ ุงู„ุฅุตุงุจุฉ ุจุณุฑุทุงู† ุงู„ู…ุนุฏุฉ ุจุฑุถู‡ ู…ุฑุชูุนุฉ. ู„ูƒู†
1530
+
1531
+ 472
1532
+ 00:34:03,560 --> 00:34:09,040
1533
+ ุงู„ูŠุงุจุงู†ูŠูŠู† ุงู„ู„ูŠ ุบูŠุฑูˆุง ุนุงุฏุงุช ุฃูƒู„ูู‡ู…ุŒ ูˆุตุงุฑุช ุนุงุฏุงุช ุฃูƒู„ูู‡ู…
1534
+
1535
+ 473
1536
+ 00:34:09,420 --> 00:34:13,420
1537
+ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุนุงุฏุงุช ุงู„ุฃูƒู„ ุงู„ุฃู…ุฑูŠูƒูŠูŠู†ุŒ ู‡ุฏูˆู„ ู„ู‚ูˆุง ุฅู†ู‡
1538
+
1539
+ 474
1540
+ 00:34:13,420 --> 00:34:18,420
1541
+ ุงู†ุฎูุถุช ุนู†ุฏู‡ู… ุงู„ู„ูŠ ู‡ูˆ ู…ุนุฏู„ ุงู„ุฅุตุงุจุฉ ุจุณุฑุทุงู† ุงู„ู…ุนุฏุฉ
1542
+
1543
+ 475
1544
+ 00:34:18,420 --> 00:34:23,840
1545
+ (Stomach Cancer). ู‡ุฐุง ุฏู„ูŠู„ ูŠุฑุจุท ุจูŠู† ุงู„ู†ุธุงู… ุงู„ุบุฐุงุฆูŠุŒ ูˆุงู„ุนุงุฏุงุช ุงู„ู„ูŠ
1546
+
1547
+ 476
1548
+ 00:34:23,840 --> 00:34:27,960
1549
+ ู‡ูˆ ุงู„ุบุฐุงุฆูŠุฉ ุนู†ุฏ ุงู„ุดุนูˆุจุŒ ูˆุฃูŠุถู‹ุง ุงู„ุฅุตุงุจุฉ ุจุงู„ุณุฑุทุงู†.
1550
+
1551
+ 477
1552
+ 00:34:27,960 --> 00:34:32,150
1553
+ ุฃูŠุถู‹ุง ู…ู† ุงู„ุนูˆุงู…ู„ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒุญูˆู„. ูƒุงู†
1554
+
1555
+ 478
1556
+ 00:34:32,150 --> 00:34:36,470
1557
+ ูŠูุตู†ู‘ู ูƒุนุงู…ู„ ู…ุณุจุจ ู„ู„ุณุฑุทุงู† ู…ู† ู‚ุจู„ ู…ุฌู„ุณ ุงู„ุฏูˆู„ุฉ ู„ู„ุจุญุซ ุนู† ุงู„ุณุฑุทุงู†
1558
+
1559
+ 479
1560
+ 00:34:36,470 --> 00:34:41,770
1561
+ ููŠ 2007. ูˆุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ู…ุฏู…ู†ูˆู† ูƒุญูˆู„ุŒ ูˆุจูŠู†ุงูˆู„ูˆุง ูƒุญูˆู„
1562
+
1563
+ 480
1564
+ 00:34:41,770 --> 00:34:46,470
1565
+ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉุŒ ููŠู‡.. ูŠุนู†ูŠ ุตุงุฑ ููŠู‡ ุฃุฏู„ุฉ ู…ูˆุฌูˆุฏุฉ ุฅู†ู‡
1566
+
1567
+ 481
1568
+ 00:34:46,470 --> 00:34:49,970
1569
+ ู…ู…ูƒู† ูŠุตุงุจูˆุง ุจุฃูƒุซุฑ ู…ู† ู†ูˆุน ู…ู† ุฃู†ูˆุงุน ุงู„ุณุฑุทุงู†ุŒ ุงู„ู„ูŠ
1570
+
1571
+ 482
1572
+ 00:34:49,970 --> 00:34:54,110
1573
+ ู…ู†ู‡ุง ุณุฑุทุงู† ุงู„ูู…ุŒ ุงู„ู…ุฑูŠุกุŒ ุงู„ุซุฏูŠุŒ ูˆุฃูŠุถู‹ุง ู…ู…ูƒู† ุณุฑุทุงู† ุงู„ูƒุจุฏ.
1574
+
1575
+ 483
1576
+ 00:34:54,110 --> 00:34:57,850
1577
+ Cancer. chronic alcohol drinking accounts for three
1578
+
1579
+ 484
1580
+ 00:34:57,850 --> 00:35:03,100
1581
+ eight nine thousand cases of cancer worldwide. ูˆุงู„ู„ูŠ
1582
+
1583
+ 485
1584
+ 00:35:03,100 --> 00:35:09,340
1585
+ ุจูŠุดุฑุจ ูƒุญูˆู„ ูˆุจูŠุฏุฎู† ูƒู…ุงู†ุŒ ู‡ุฐุง ุจูŠุนุชุจุฑ ุจูŠุนู…ู„ ุชุขุฒุฑ
1586
+
1587
+ 486
1588
+ 00:35:09,340 --> 00:35:12,640
1589
+ (synergism)ุŒ ูŠุนู†ูŠ ุงู„ูƒุญูˆู„ ู…ุน ุงู„ุชุฏุฎูŠู† ุจูŠุนู…ู„ ุชุขุฒุฑ ุจุงู„ู€
1590
+
1591
+ 487
1592
+ 00:35:12,640 --> 00:35:17,160
1593
+ ุชุฃุซูŠุฑ. ุฃู‡ ูŠุนู†ูŠ ุจูŠุฒูŠุฏ ุงู„ุชุฃุซูŠุฑ. ูŠุนู†ูŠ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ
1594
+
1595
+ 488
1596
+ 00:35:17,160 --> 00:35:20,440
1597
+ ุจูŠุณุงูˆูŠ ุงุชู†ูŠู†ุŒ ู‡ุฐุง ุชุฃุซูŠุฑ ุชุฑุงูƒู…ูŠ. ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ
1598
+
1599
+ 489
1600
+ 00:35:20,440 --> 00:35:23,940
1601
+ ุจูŠุณุงูˆูŠ ุซู„ุงุซุฉุŒ ู‡ุฐุง ุชุฃุซูŠุฑ ุชุขุฒุฑูŠ (synergistic effect)ุŒ ุชู…ุงู…ุŸ they
1602
+
1603
+ 490
1604
+ 00:35:23,940 --> 00:35:27,900
1605
+ have a synergistic effect, meaning that the risk of
1606
+
1607
+ 491
1608
+ 00:35:27,900 --> 00:35:35,410
1609
+ cancer ุทุจุนู‹ุง is increased. ูˆุขุฎุฑ ุดูŠุกุŒ ู„ู„ุชุฏุฎูŠู† ุจุฑุถู‡
1610
+
1611
+ 492
1612
+ 00:35:35,410 --> 00:35:40,710
1613
+ ู…ู† ุนุงู… 1985ุŒ ุณุฑุทุงู† ุงู„ุฑุฆุฉ (lung cancer) has remained the main
1614
+
1615
+ 493
1616
+ 00:35:40,710 --> 00:35:44,410
1617
+ cancer worldwide. ูˆุฒูŠ ู…ุง ุดูู†ุง ููŠ ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ
1618
+
1619
+ 494
1620
+ 00:35:44,410 --> 00:35:47,810
1621
+ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุจุฏุงูŠุฉุŒ ุณุฑุทุงู† ุงู„ุฑุฆุฉ (lung cancer) ูุนู„ูŠู‹ุง ู‡ูˆ
1622
+
1623
+ 495
1624
+ 00:35:47,810 --> 00:35:52,530
1625
+ ุงู„ุฃูˆู„. ูˆุงู„ุขู† ุทุจุนู‹ุง ุจุฑุถู‡ ุฑุจุทูˆุง ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1626
+
1627
+ 496
1628
+ 00:35:52,530 --> 00:35:57,470
1629
+ ุงู„ุชุฏุฎูŠู† ุจู€ ุงู„ู„ูŠ ู‡ูˆ ุญุฏูˆุซ ุงู„ุณุฑุทุงู†. ุงู‡ ูŠุนู†ูŠ ุจุทู„ูˆุง ูŠู‚ูˆู„ูˆุง
1630
+
1631
+ 497
1632
+ 00:35:57,470 --> 00:36:01,890
1633
+ ุฅู† ุงู„ุชุฏุฎูŠู† ู…ู…ูƒู† ุฃู† ูŠุณุจุจ ุงู„ุณุฑุทุงู†. ู„ุฃุŒ ุตุงุฑูˆุง ูŠู‚ูˆู„ูˆุง
1634
+
1635
+ 498
1636
+ 00:36:01,890 --> 00:36:06,430
1637
+ ุงู„ุชุฏุฎูŠู† ูŠุณุจุจ ุงู„ุณุฑุทุงู†. smoking accounts for 40
1638
+
1639
+ 499
1640
+ 00:36:06,430 --> 00:36:09,950
1641
+ percent of all cancer deaths. one point one eight
1642
+
1643
+ 500
1644
+ 00:36:09,950 --> 00:36:16,150
1645
+ million deaths yearly. ุงู„ู€ 81 ู…ุงุฏุฉ ู…ุณุฑุทู†ุฉ ุชู… ุงูƒุชุดุงูู‡ุง
1646
+
1647
+ 501
1648
+ 00:36:16,150 --> 00:36:19,150
1649
+ ููŠ ุฏุฎุงู† ุงู„ุณุฌุงุฆุฑุŒ ูˆู…ู† ุงู„ูˆุงุถุญ ุจุฃู† ุจุนุถ ุงู„ุฃู…ูˆุฑ
1650
+
1651
+ 502
1652
+ 00:36:19,150 --> 00:36:23,830
1653
+ ุงู„ู‚ุงุฏู…ุฉ ูŠู…ูƒู† ุฃู† ูŠุชู… ุฅูŠู‚ุงูู‡ุง ุจุชุบูŠูŠุฑุงุช ููŠ ู…ุตุงุฏุฑ ุงู„ุญูŠุงุฉ
1654
+
1655
+ 503
1656
+ 00:36:23,830 --> 00:36:28,470
1657
+ ุงู„ู…ุฎุชู„ูุฉ.
1658
+
1659
+ 504
1660
+ 00:36:51,640 --> 00:36:56,140
1661
+ ุงู„ุฃูˆู„ู‰ุŒ ูˆูŠุนุทูŠูƒู… ุฃู„ู ุนุงููŠุฉุŒ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
1662
+
1663
+ 505
1664
+ 00:36:56,140 --> 00:36:57,220
1665
+ ูˆุจุฑูƒุงุชู‡
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/915SFjSUTBI_postprocess.srt ADDED
@@ -0,0 +1,2020 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,940 --> 00:00:06,120
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ cancer is a disease of the genome
4
+
5
+ 2
6
+ 00:00:06,120 --> 00:00:12,140
7
+ at the cellular level ูŠุจู‚ู‰ ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„
8
+
9
+ 3
10
+ 00:00:12,140 --> 00:00:16,940
11
+ cancer ู‡ูˆ ุงู„ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ุจุชุตูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ genome
12
+
13
+ 4
14
+ 00:00:16,940 --> 00:00:21,400
15
+ ูˆุฒูŠ ู…ุง ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู†ู‡ ููŠ ุงู†ู‚ู„ ุนุฏูŠุฏ ู…ู† ุงู„ agents
16
+
17
+ 5
18
+ 00:00:21,400 --> 00:00:26,080
19
+ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ูˆ ู‡ุฐู‡ ุงู„ agents
20
+
21
+ 6
22
+ 00:00:26,540 --> 00:00:31,540
23
+ ุจู†ุณู…ูŠู‡ุง carcinogens ูˆุนู†ุง ุงู„ .. ุงู„ carcinogens ู‡ุง
24
+
25
+ 7
26
+ 00:00:31,540 --> 00:00:38,320
27
+ ุฏูŠ most of carcinogens can cause alteration to the
28
+
29
+ 8
30
+ 00:00:38,320 --> 00:00:42,380
31
+ DNA sequence ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ู…ุง ูŠุณู…ู‰ ุจูŠ ุงู„ mutations
32
+
33
+ 9
34
+ 00:00:42,380 --> 00:00:48,180
35
+ ูˆุจุงู„ุชุงู„ูŠ ุงู„ carcinogen ู…ู…ูƒู† ูŠูƒูˆู† a mutagen ู„ุฃู†ู‡
36
+
37
+ 10
38
+ 00:00:48,180 --> 00:00:54,140
39
+ ู…ู…ูƒู† ูŠุนู…ู„ู‰ a mutation ููŠ ุงู„ DNA sequence ู„ูƒู† ู‡ุง ู…ุง
40
+
41
+ 11
42
+ 00:00:54,140 --> 00:01:01,290
43
+ ุญูƒูŠู†ุงุด ุฃู†ู‡ allcarcinogens are immunogens ู‚ู„ู†ุง ุฅู†ู‡
44
+
45
+ 12
46
+ 00:01:01,290 --> 00:01:06,410
47
+ most carcinogens are immunogens ู„ุฃู†ู‡ ูุนู„ูŠุง ููŠ ุฃู†
48
+
49
+ 13
50
+ 00:01:06,410 --> 00:01:12,670
51
+ ุจุนุถ ุงู„ agents ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุคุฏูˆุง ุฅู„ู‰ ุญุฏูˆุซ cancer ู„ูƒู†
52
+
53
+ 14
54
+ 00:01:12,670 --> 00:01:17,430
55
+ ุจุฏูˆู† ู…ุง ูŠุนู…ู„ูˆุง mutations ุฃูˆ alteration ู„ ุงู„ DNA
56
+
57
+ 15
58
+ 00:01:17,430 --> 00:01:23,070
59
+ sequence ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ ุฃู†ุจุนุถ ู…ู…ูƒู† ุงู„ viruses
60
+
61
+ 16
62
+ 00:01:23,070 --> 00:01:29,550
63
+ ุงู„ู„ูŠ ุจูŠู†ุชุฌ proteins ูˆ ุงู„ proteins ู‡ุฐู‡ ู…ู…ูƒู† ู‡ูŠ ุงู„ู„ูŠ
64
+
65
+ 17
66
+ 00:01:29,550 --> 00:01:35,970
67
+ ุชุคุฏูŠ ุฅู„ู‰ ู…ู†ุน expression ู„ gene ู…ุนูŠู† ู…ู…ูƒู† ุจุงุฑุชุจุงุทู‡ุง
68
+
69
+ 18
70
+ 00:01:35,970 --> 00:01:39,970
71
+ ุฃูˆ ุจุนู…ู„ deactivation ู„ู„ transcription factor ุนู„ู‰
72
+
73
+ 19
74
+ 00:01:39,970 --> 00:01:45,850
75
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฃูŠุถุงุงู„ู€ Carcinogen ุจุฑุถู‡ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰
76
+
77
+ 20
78
+ 00:01:45,850 --> 00:01:51,970
79
+ ุงู„ู€ Epigenetics ุฅู„ู‰ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Methylation ู…ุซู„ุง
80
+
81
+ 21
82
+ 00:01:51,970 --> 00:01:57,240
83
+ ู„ุฌูŠู†ู‡ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„ silencingู„ู‡ุฐุง ุงู„ุฌูŠู†ุŒ ู…ู…ูƒู†
84
+
85
+ 22
86
+ 00:01:57,240 --> 00:02:01,860
87
+ ุฃูŠุถู‹ุง ุจุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง degradation ู„ู€
88
+
89
+ 23
90
+ 00:02:01,860 --> 00:02:05,080
91
+ messenger RNA ูˆุจุงู„ุชุงู„ูŠ ูŠู…ู†ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ expression
92
+
93
+ 24
94
+ 00:02:05,080 --> 00:02:09,620
95
+ ู„ุฌูŠู† ู…ุนูŠู† ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูˆ degradation ู„ู€ messenger
96
+
97
+ 25
98
+ 00:02:09,620 --> 00:02:13,960
99
+ RNA ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ูŠุชูƒูˆู† ุนู†ุฏู†ุง protein ู…ุนูŠู†ุŒ ุงู„
100
+
101
+ 26
102
+ 00:02:13,960 --> 00:02:17,420
103
+ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† tumor suppressor protein ุนู„ู‰
104
+
105
+ 27
106
+ 00:02:17,420 --> 00:02:20,980
107
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุชู…ุงู…ุŸ ุนุดุงู† ู‡ูŠูƒ ุญูƒูŠู†ุง ุงู† most
108
+
109
+ 28
110
+ 00:02:20,980 --> 00:02:27,120
111
+ carcinogens are mutagens ูˆู…ุด all carcinogens are
112
+
113
+ 29
114
+ 00:02:27,120 --> 00:02:33,160
115
+ mutagens ุทุจุนุง ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ุงู„ุนุฏูŠุฏุฉ ุงู„ู„ูŠ ุชู…ุช ุตุงุฑ
116
+
117
+ 30
118
+ 00:02:33,160 --> 00:02:38,220
119
+ ููŠู†ุง evidence ุฏู„ูŠู„ indicates that the DNA of tumor
120
+
121
+ 31
122
+ 00:02:38,220 --> 00:02:42,980
123
+ cells contain many alterations ranging from
124
+
125
+ 32
126
+ 00:02:42,980 --> 00:02:47,540
127
+ precise point mutations to large chromosomal
128
+
129
+ 33
130
+ 00:02:47,540 --> 00:02:52,360
131
+ aberrationsุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ู…ู…ูƒู† deletions ุฃูˆ ู…ู…ูƒู† ุงู„
132
+
133
+ 34
134
+ 00:02:52,360 --> 00:02:56,520
135
+ chromosomal translocations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุนุฏูŠุฏ
136
+
137
+ 35
138
+ 00:02:56,520 --> 00:02:59,780
139
+ ู…ู† ุงู„ cancers the accumulation of mutations in
140
+
141
+ 36
142
+ 00:02:59,780 --> 00:03:02,960
143
+ cells over time represents a multistep process
144
+
145
+ 37
146
+ 00:03:02,960 --> 00:03:06,880
147
+ that underlies carcinogenesis ูˆ ุนุงุฏุฉ ุงู„ุฃู…ุฑ ุจูŠุตูŠุฑ
148
+
149
+ 38
150
+ 00:03:06,880 --> 00:03:12,020
151
+ ุฃู†ู‡ ู…ู† ุงู„ accumulation of mutations ูŠุจู‚ู‰ ู…ู…ูƒู† ู…ุด
152
+
153
+ 39
154
+ 00:03:12,020 --> 00:03:17,320
155
+ ู…ู† ุงู„ mutation ุฃูˆ ู…ุด ู…ู† ุฃูˆู„ mutation ู…ู…ูƒู†ุชุชุญูˆู„
156
+
157
+ 40
158
+ 00:03:17,320 --> 00:03:21,940
159
+ ุงู„ุฎู„ูŠุฉ ุงู„ู‰ cancerous cell ูŠุจู‚ู‰ ู…ู…ูƒู† ุชุญุชุงุฌ ุงู„ู‰ ุงูƒุชุฑ
160
+
161
+ 41
162
+ 00:03:21,940 --> 00:03:28,540
163
+ ู…ู† mutation ุงูˆ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ tumor ุชู…ุงู… ูˆ ุจุนุฏ
164
+
165
+ 42
166
+ 00:03:28,540 --> 00:03:31,660
167
+ ู‡ูŠูƒ ูŠุชุญูˆู„ ู…ุซู„ุง ุจุฑุถู‡ ุจุณุจุจ ุงู„ accumulation of
168
+
169
+ 43
170
+ 00:03:31,660 --> 00:03:34,740
171
+ mutations ูŠุชุญูˆู„ ุงู„ู‰ malignant tumor ุชู…ุงู… ุจุณุจุจ
172
+
173
+ 44
174
+ 00:03:34,740 --> 00:03:38,860
175
+ accumulation of mutations ูˆ ู‡ุฐุง ุงู„ุณุจุจ ุงู‡ ู„ู…ุง ุญูƒูŠู†ุง
176
+
177
+ 45
178
+ 00:03:38,860 --> 00:03:44,860
179
+ ุนู„ู‰ ุงู„ุงุนู…ุงุฑ ูˆ ูˆูŠู† ุจุชุฑูƒุฒ ุงู†ู‡ ุงูƒุจุฑุนุฏุฏ ููŠ ุฃูŠ ูุฆุฉ
180
+
181
+ 46
182
+ 00:03:44,860 --> 00:03:47,440
183
+ ุนู…ุฑูŠุฉ ุฃูƒุจุฑ ุนุฏุฏ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุจุชูˆุตุจ ุจุงู„ .. ุจุงู„
184
+
185
+ 47
186
+ 00:03:47,440 --> 00:03:52,060
187
+ cancer ูƒุงู† ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŒ ู„ูŠุด ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŸ ู„ุฃู†ู‡ ุงู„
188
+
189
+ 48
190
+ 00:03:52,060 --> 00:03:55,040
191
+ cancer ูุนู„ูŠุง ุจูŠู†ุชุฌ ุนู† accumulation of mutations
192
+
193
+ 49
194
+ 00:03:55,040 --> 00:04:00,030
195
+ ูˆูƒู„ ู…ุง ูƒุจุฑ ุงู„ุฅู†ุณุงู† ุจูŠุฆูŠ ุงู„ุนู…ุฑุŒ ู…ุนู†ุงุชู‡ ุนุฑุถุฉ ุฃูƒุชุฑุงู„ู€
196
+
197
+ 50
198
+ 00:04:00,030 --> 00:04:03,930
199
+ DNA ุฅู†ู‡ ูŠุตูŠุฑ ููŠู‡ more mutations ูˆุจุงู„ุชุงู„ูŠ ุฅู†ู‡
200
+
201
+ 51
202
+ 00:04:03,930 --> 00:04:09,110
203
+ ุงู„ุฎู„ูŠุฉ ุชุชุญูˆู„ ุฅู„ู‰ cancerous cell ูˆู‡ุฐุง ุงู„ figure
204
+
205
+ 52
206
+ 00:04:09,110 --> 00:04:12,690
207
+ ุจูŠูˆุถุญ ุงู„ู„ูŠ ู‡ูˆ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูˆ accumulation of
208
+
209
+ 53
210
+ 00:04:12,690 --> 00:04:16,690
211
+ mutations ููŠ ุนู†ุฏู†ุง normal cell ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ูŠุตูŠุฑ
212
+
213
+ 54
214
+ 00:04:16,690 --> 00:04:22,190
215
+ ุนู†ุฏู†ุง ุงู„ first mutationููŠ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆ ุจุนุฏูŠู†
216
+
217
+ 55
218
+ 00:04:22,190 --> 00:04:26,990
219
+ second mutation ูˆ ุจุนุฏูŠู† third mutation ู„ู…ุง ุงู„ู„ูŠ ู‡ูˆ
220
+
221
+ 56
222
+ 00:04:26,990 --> 00:04:29,750
223
+ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ tumor ูˆ ุจุนุฏูŠู† ู…ู…ูƒู† fourth
224
+
225
+ 57
226
+ 00:04:29,750 --> 00:04:33,910
227
+ mutation ุนุดุงู† ุชุชุญูˆู„ ุงู„ู‰ malignant cell ูˆ ุงู„ู„ูŠ ู…ู…ูƒู†
228
+
229
+ 58
230
+ 00:04:33,910 --> 00:04:38,490
231
+ ุชูƒูˆู† ูŠุนู†ูŠ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุนู…ู„ invasion ูˆ ุงู„ุงู†ุชู‚ุงู„ ุงู„ู‰
232
+
233
+ 59
234
+ 00:04:38,490 --> 00:04:41,030
235
+ ุงู…ุงูƒู† ุงุฎุฑู‰ ุชู…ุงู… ุฒูŠ .. ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู†ู‡ ุงู„
236
+
237
+ 60
238
+ 00:04:41,030 --> 00:04:45,630
239
+ requirement for accumulation ofุงู„ุชุบูŠูŠุฑ ุนู…ุฑ ุงู„ูˆู‚ุช
240
+
241
+ 61
242
+ 00:04:45,630 --> 00:04:48,890
243
+ ูŠุดุฑุญ ู„ู…ุงุฐุง ูŠูˆุฌุฏ ุฑุบุจุงุช ุฃูƒุชุฑ ู…ู† ุงู„ู‚ู†ุจู„ุฉ ู…ุน ุนู…ุฑู‡ุง
244
+
245
+ 62
246
+ 00:04:48,890 --> 00:04:53,310
247
+ ูˆู„ู…ุงุฐุง ุงู„ู‚ู†ุจู„ุฉ ุฃุตุจุญ ุฃูƒุชุฑ ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุนุงู…ุฉ ุนุงู…ุฉ
248
+
249
+ 63
250
+ 00:04:53,310 --> 00:04:55,870
251
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
252
+
253
+ 64
254
+ 00:04:55,870 --> 00:04:58,010
255
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
256
+
257
+ 65
258
+ 00:04:58,010 --> 00:04:59,090
259
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
260
+
261
+ 66
262
+ 00:04:59,090 --> 00:05:00,130
263
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
264
+
265
+ 67
266
+ 00:05:00,130 --> 00:05:02,270
267
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
268
+
269
+ 68
270
+ 00:05:02,270 --> 00:05:10,690
271
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
272
+
273
+ 69
274
+ 00:05:10,690 --> 00:05:18,100
275
+ ุนุทุจุนุง ุทุจุนุง ู‡ุฐุง ูŠุนู†ูŠ ุจูŠุนูˆุฏ ู„ุฃุณุจุงุจ ู…ุฎุชู„ูุฉ ูˆุนุดุงู† ู‡ูŠูƒ
276
+
277
+ 70
278
+ 00:05:18,100 --> 00:05:22,480
279
+ ุตุงุฑ ููŠู†ุง ุงู„ุขู† ูˆ ุจุงู„ุณุจุจ ุทุจุนุง ุงู„ .. ุงู„ .. ุงู„ุทูˆู„ ููŠ
280
+
281
+ 71
282
+ 00:05:22,480 --> 00:05:25,660
283
+ ุงู„ุฃุนู…ุงุฑ ุตุงุฑ ููŠู†ุง ุงู„ accumulation of mutations ู‡ุฐุง
284
+
285
+ 72
286
+ 00:05:25,660 --> 00:05:28,620
287
+ ุงู„ู„ูŠ ุจุชุตูŠุฑู‡ ูˆุจุงู„ุชุงู„ูŠ ุตุงุฑ ุนู†ุฏู†ุง ุฃุนุฏุงุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„
288
+
289
+ 73
290
+ 00:05:28,620 --> 00:05:31,900
291
+ cancer ููŠ ุชุฒุงูŠุฏู‡ the longer we live the more time
292
+
293
+ 74
294
+ 00:05:31,900 --> 00:05:35,140
295
+ there is for our DNA to accumulate mutations which
296
+
297
+ 75
298
+ 00:05:35,140 --> 00:05:40,220
299
+ may lead to cancer ุทูŠุจ ุทุจ ููŠ ุนู†ุฏู†ุง ุงุญู†ุง ุฃุทูุงู„ ู…ู…ูƒู†
300
+
301
+ 76
302
+ 00:05:40,220 --> 00:05:46,340
303
+ ูŠุตุงุจูˆุง ุจุงู„ cancerุทูŠุจ ุงู„ุทูู„ ูŠุนู†ูŠ ู„ุณู‡ ุนู…ุฑู‡ ู‚ู„ูŠู„
304
+
305
+ 77
306
+ 00:05:46,340 --> 00:05:49,560
307
+ ูˆู…ุงู„ุงุญู‚ุด ุงู†ู‡ ูŠุตูŠุฑ ููŠู‡ ุงู†ุง ุงู„ accumulation of
308
+
309
+ 78
310
+ 00:05:49,560 --> 00:05:54,880
311
+ mutations ุทูŠุจ ูƒูŠู ุงู„ุทูู„ ู‡ุฐุง ู…ู…ูƒู† ูŠุตุงุจ ุจุงู„ cancerุŸ
312
+
313
+ 79
314
+ 00:05:54,880 --> 00:05:57,820
315
+ ููŠู‡ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุณุจุจ ุงุฎุฑ ู…ู…ูƒู† ู„ุง ุงู„ุงุตุงุจุฉ ุจุงู„
316
+
317
+ 80
318
+ 00:05:57,820 --> 00:06:01,920
319
+ cancer because there is evidence that in a small
320
+
321
+ 81
322
+ 00:06:01,920 --> 00:06:06,380
323
+ percentage of tumors ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง a single
324
+
325
+ 82
326
+ 00:06:06,380 --> 00:06:12,030
327
+ catastrophic event ุงู‡ ูŠุจู‚ู‰ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง crisisููŠ
328
+
329
+ 83
330
+ 00:06:12,030 --> 00:06:17,870
331
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุตูŠุฑ ููŠู†ุง ูƒุงุฑุซุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐู‡
332
+
333
+ 84
334
+ 00:06:17,870 --> 00:06:21,630
335
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ crisis ุงู„ู„ูŠ ุญุตูŠุฑ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ู…ู…ูƒู†
336
+
337
+ 85
338
+ 00:06:21,630 --> 00:06:26,510
339
+ ุชุคุฏูŠ ุฅู„ู‰ ุงู„ุนุฏูŠุฏ ู…ู† limb mutations ูˆู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰
340
+
341
+ 86
342
+ 00:06:26,510 --> 00:06:31,250
343
+ translocations ูˆู‡ุฐู‡ ู…ู…ูƒู† ุงู„ู„ูŠ ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer
344
+
345
+ 87
346
+ 00:06:31,250 --> 00:06:35,840
347
+ ุนู†ุฏ ุงู„ุฃุทูุงู„ ูˆุญู†ุญูƒูŠ ุนู„ูŠู‡ุงูŠุนู†ูŠ ู…ู…ูƒู† ุจุชูุณูŠุฑ ุดูˆูŠุฉ ููŠ
348
+
349
+ 88
350
+ 00:06:35,840 --> 00:06:38,880
351
+ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุทูŠุจ ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚
352
+
353
+ 89
354
+ 00:06:38,880 --> 00:06:42,720
355
+ ุจู†ูˆุน ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ุจูŠ ุงู„ุฎู„ุงูŠุง almost all
356
+
357
+ 90
358
+ 00:06:42,720 --> 00:06:45,940
359
+ of the mutations identified in tumor cells are
360
+
361
+ 91
362
+ 00:06:45,940 --> 00:06:49,960
363
+ somatic mutations ูŠุจู‚ู‰ ุงู„ somatic mutations the
364
+
365
+ 92
366
+ 00:06:49,960 --> 00:06:53,460
367
+ DNA of the somatic ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ body cell has been
368
+
369
+ 93
370
+ 00:06:53,460 --> 00:06:57,960
371
+ damagedูˆุทุจุนุง ู…ุง ุฒุงู„ ุงู„ู€ somatic mutations ูŠุจู‚ู‰ ู…ุด
372
+
373
+ 94
374
+ 00:06:57,960 --> 00:07:01,420
375
+ ู‡ุชู†ุชู‚ู„ for next generations ุฅุฐุง ูƒุงู† ู†ุญูƒูŠ ุนู„ู‰
376
+
377
+ 95
378
+ 00:07:01,420 --> 00:07:05,160
379
+ somatic mutations ู…ุนู†ุงุชู‡ ุงู„ limitations ู‡ุฐู‡ ู‡ุชูƒูˆู†
380
+
381
+ 96
382
+ 00:07:05,160 --> 00:07:10,240
383
+ ู…ูˆุฌูˆุฏุฉ ุจุงู„ุดุฎุต ุงู„ู„ูŠ ุฃุตูŠุจ ุจู‡ุฐู‡ ุงู„ mutation ูˆ ู…ุน ู…ูˆุชู‡
384
+
385
+ 97
386
+ 00:07:10,240 --> 00:07:13,800
387
+ ุทุจุนุง ุจุชู†ุชู‡ูŠ these mutations are not passed on to
388
+
389
+ 98
390
+ 00:07:13,800 --> 00:07:17,770
391
+ the next generation of offspringูˆุจุงู„ุชุงู„ูŠ they are
392
+
393
+ 99
394
+ 00:07:17,770 --> 00:07:22,330
395
+ not inherited ู„ูƒู† ููŠ ุฏุงุฎู„ ุงู„ุฌุณู… ู†ูุณู‡ they are
396
+
397
+ 100
398
+ 00:07:22,330 --> 00:07:25,370
399
+ passed to daughter cells after cell division ุฒูŠ ู…ุง
400
+
401
+ 101
402
+ 00:07:25,370 --> 00:07:28,650
403
+ ุดูˆูู†ุง ุญุชู‰ ุจุงู„ slide ุงู„ู„ูŠ ู‡ูˆ ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ุฅุฐุง ูƒุงู†
404
+
405
+ 102
406
+ 00:07:28,650 --> 00:07:32,810
407
+ ุตุงุฑ ููŠ ุนู†ุง a mutation ูุนู„ูŠุง ุงู„ mutation ู‡ุฐูŠ ุจุชู†ุชู‚ู„
408
+
409
+ 103
410
+ 00:07:32,810 --> 00:07:37,410
411
+ ู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ ูŠุนู†ูŠ ููŠ ุตุงุฑ mutations ุจุชู†ุชู‚ู„ they
412
+
413
+ 104
414
+ 00:07:37,410 --> 00:07:42,610
415
+ can be passed to daughter cells ู„ูƒู† ู„ุง ุชู†ุชู‚ู„ ุฅู„ู‰
416
+
417
+ 105
418
+ 00:07:42,610 --> 00:07:47,480
419
+ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ู„ู„ offspringู„ู‡ุฐุง ุงู„ุดุฎุต
420
+
421
+ 106
422
+ 00:07:47,480 --> 00:07:50,180
423
+ inheritable modifications of the genome and the
424
+
425
+ 107
426
+ 00:07:50,180 --> 00:07:52,520
427
+ chromatin structure also play a role in
428
+
429
+ 108
430
+ 00:07:52,520 --> 00:07:57,520
431
+ carcinogenesis ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ุจุนุถ ุงู„ mutations ุงู„ู„ูŠ
432
+
433
+ 109
434
+ 00:07:57,520 --> 00:08:02,680
435
+ ู…ู…ูƒู† ูุนู„ูŠุง ุงุชู… ุชู…ุฑูŠุถู‡ุง ุฅู„ู‰ ุงู„ุฃุฌูŠุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุงุฏู…ุฉ
436
+
437
+ 110
438
+ 00:08:02,680 --> 00:08:05,900
439
+ ูˆู‡ุฐุง ุจูŠุตูŠุฑ ููŠ ุญุงู„ ุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutations ููŠ ุงู„
440
+
441
+ 111
442
+ 00:08:05,900 --> 00:08:11,360
443
+ sperm ุฃูˆ ุงู„ egg cells ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ mutations
444
+
445
+ 112
446
+ 00:08:11,360 --> 00:08:16,930
447
+ ุจุชุณู…ูŠู‡ุง germline mutationsูˆุงู„ู€ Gemline Mutations
448
+
449
+ 113
450
+ 00:08:16,930 --> 00:08:23,250
451
+ ุณูŠุชู… ุชุญูˆูŠู„ู‡ุง ุฅู„ู‰ Offspring ุจุนุถ ุงู„ู€ Gemline
452
+
453
+ 114
454
+ 00:08:23,250 --> 00:08:26,650
455
+ Mutations ูŠู…ูƒู† ุฃู† ูŠุณุจุจูˆุง ุฑุบุจุงุช ุฃูƒุชุฑ ู…ู† ุชุทูˆุฑ ุงู„ู‚ู†ุตุฑ
456
+
457
+ 115
458
+ 00:08:26,650 --> 00:08:32,390
459
+ ูˆู„ูƒู†ู‡ุง ุบุงู„ุจู‹ุง ุชุชุนุงู…ู„ ุจุงู„ุชุณุจุจ ุจุงู„ู‚ู†ุตุฑ ููˆุฑู‹ุง ูˆู‡ุฐุง
460
+
461
+ 116
462
+ 00:08:32,390 --> 00:08:34,850
463
+ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุดูˆูŠุฉ ูˆู‡ูŠูƒูˆู† ููŠู‡ ุฃู†ู‚ุงู… ุงุณุชู„ุญุงุฉ
464
+
465
+ 117
466
+ 00:08:34,850 --> 00:08:41,030
467
+ ุนุฏูŠุฏุฉ ุจู…ุง ุชุนู„ู‚ ุจู€ Gemline Mutations ูˆุจุงู„ุชุงู„ูŠ ุงู„ุดุฎุต
468
+
469
+ 118
470
+ 00:08:41,030 --> 00:08:43,710
471
+ ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏู‡ Gemline Mutation ู…ู…ูƒู† ูŠูƒูˆู† at
472
+
473
+ 119
474
+ 00:08:43,710 --> 00:08:50,100
475
+ higher riskู„ู„ุงุตุงุจุฉ ุจุฃู†ูˆุงุน ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ู…ู† ุงู„ู€
476
+
477
+ 120
478
+ 00:08:50,100 --> 00:08:53,780
479
+ cancer ู‡ุฐุง ุงู„ููŠุฌูˆุฑ ุจูŠูˆุถุญ ุงู„ู€ somatic mutations ูˆ
480
+
481
+ 121
482
+ 00:08:53,780 --> 00:08:58,060
483
+ ุงู„ germline mutations ุทุจุนุง ู‡ู†ุง ุงู†ู‡ ุงู„ูˆ ุงู„ somatic
484
+
485
+ 122
486
+ 00:08:58,060 --> 00:09:02,020
487
+ cells ูˆ ุงู„ cancer ุงู†ู‡ ุฒูŠ ู…ุง ุญูƒูŠู†ุง mutation ููŠ ุงู„
488
+
489
+ 123
490
+ 00:09:02,020 --> 00:09:07,160
491
+ somatic cells ูŠุจู‚ู‰ ุงู„ mutation ู‡ุฐู‡ ู‡ุชู†ุชู‚ู„ ู„ุงู„ู€
492
+
493
+ 124
494
+ 00:09:07,160 --> 00:09:09,980
495
+ daughter cells ููŠ ุญุงู„ ุงู†ู‡ ุตุงุฑ ุนู†ุฏู†ุง ุงู†ู‚ุณุงู… ู„ู‡ุฐู‡
496
+
497
+ 125
498
+ 00:09:09,980 --> 00:09:14,760
499
+ ุงู„ุฎู„ูŠุฉ ู‡ุชู†ุชู‚ู„ limitations ู„ ุงู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ ู„ูƒู†
500
+
501
+ 126
502
+ 00:09:14,760 --> 00:09:18,980
503
+ ุงู…ุชู‰ ู…ู…ูƒู† ุชู†ุชู‚ู„ ุงู„ุฎู„ูŠุฉ ู„ ุงู„ generations ุงู„ู‚ุงุฏู…ุฉ ููŠ
504
+
505
+ 127
506
+ 00:09:18,980 --> 00:09:22,580
507
+ ุญุงู„ ุงู†ู‡ ุตุงุฑ ุนู†ุฏู†ุง limitation ููŠ ุงู„ gemline cells
508
+
509
+ 128
510
+ 00:09:22,580 --> 00:09:26,480
511
+ ูŠุจู‚ู‰ ููŠ ุงู„ gemline cells ู…ุนู†ุงุชู‡ ุงู„ุฌู…ูŠุช ุงู„ู„ูŠ ู‡ุชู†ุชุฌ
512
+
513
+ 129
514
+ 00:09:26,480 --> 00:09:31,900
515
+ ุงู„ mutation ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ูˆู‡ุฐู‡ ู‡ูŠุชู… ุชู…ุฑูŠุฑู‡ุงู„ู„
516
+
517
+ 130
518
+ 00:09:31,900 --> 00:09:36,500
519
+ generations ุงู„ู‚ุงุฏู…ุฉ ุทูŠุจ ุงู„ุขู† ู…ุง ุชูƒูˆู† ุงู„ cancer
520
+
521
+ 131
522
+ 00:09:36,500 --> 00:09:40,460
523
+ ูˆุฎู„ุงูŠุง ุงู„ cancer ุงู„ุขู† ุญูŠุตูŠุฑ ููŠู‡ ุฃู†ู†ุง uncontrolled
524
+
525
+ 132
526
+ 00:09:40,460 --> 00:09:43,840
527
+ proliferation ูˆู…ู…ูƒู† ู‡ุฐุง ุงู„ uncontrolled
528
+
529
+ 133
530
+ 00:09:43,840 --> 00:09:48,560
531
+ proliferation ู…ู…ูƒู† ูŠู†ุชูˆุฌ ุนู†ู‡ mutations ุฃุฎุฑู‰ ููŠ
532
+
533
+ 134
534
+ 00:09:48,560 --> 00:09:53,820
535
+ ุฏุงุฎู„ุงู„ุฎู„ุงูŠุง ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠู‚ุฏู‘ูŠ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ
536
+
537
+ 135
538
+ 00:09:53,820 --> 00:09:58,660
539
+ ุฃู†ู‡ ู…ู…ูƒู† ุจุฏุงูŠุฉ ุจุชูƒูˆู† ู„ู†ุง tumor ูˆู…ู…ูƒู† ุจุนุฏ ู‡ูŠูƒ ุจุชุญูˆู„
540
+
541
+ 136
542
+ 00:09:58,660 --> 00:10:02,660
543
+ ุฅู„ู‰ ุงู„ูˆ ู…ุงู„ูŠุฌู†ุงู† ุงู„ tumor ู„ุฃู†ู‡ ุฅูŠุด ู…ุน ุงู†ู‚ุณุงู…
544
+
545
+ 137
546
+ 00:10:02,660 --> 00:10:06,920
547
+ ุงู„ุฎู„ุงูŠุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ุฎู„ุงูŠุง ุจุชูƒุชุณุจ mutations ุฃุฎุฑู‰
548
+
549
+ 138
550
+ 00:10:06,920 --> 00:10:09,300
551
+ ูˆุงู„ mutations ุงู„ุฌุฏูŠุฏุฉ ู‡ุฐู‡ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูŠ ุจุชุฏูŠู‡ุง
552
+
553
+ 139
554
+ 00:10:09,300 --> 00:10:14,030
555
+ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ุนู…ู„ Invasion ูˆMetastasis The progressive
556
+
557
+ 140
558
+ 00:10:14,030 --> 00:10:16,590
559
+ changes of a cell resulting from an accumulation
560
+
561
+ 141
562
+ 00:10:16,590 --> 00:10:19,190
563
+ of genetic mutations that confer a growth
564
+
565
+ 142
566
+ 00:10:19,190 --> 00:10:22,970
567
+ advantage over its neighbors proceeds in a fashion
568
+
569
+ 143
570
+ 00:10:22,970 --> 00:10:27,550
571
+ analogous to Darwinian evolution ุจูŠุตูŠุฑ ููŠ ุฃู†ู†ุง
572
+
573
+ 144
574
+ 00:10:27,550 --> 00:10:32,530
575
+ mutations ู…ุฎุชู„ูุฉ ูˆ ุงู„ mutations ู‡ุฐู‡ ู…ุด ูˆุงุญุฏุฉ ููŠ
576
+
577
+ 145
578
+ 00:10:32,530 --> 00:10:35,270
579
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ููŠ ุฃู†ู†ุง ู…ู…ูƒู† ู†ุตูŠุฑ mutations
580
+
581
+ 146
582
+ 00:10:35,270 --> 00:10:40,370
583
+ ู…ุฎุชู„ูุฉ ููŠ ุงู„ cancer cells ุทูŠุจ ุงู„ุขู†ุงู„ู€ limitations
584
+
585
+ 147
586
+ 00:10:40,370 --> 00:10:45,270
587
+ ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุชุตูŠุฑ ู‡ู„ ูƒู„ ุงู„ุฎู„ุงูŠุง ุงู„ู…ูˆุฌูˆุฏุฉ
588
+
589
+ 148
590
+ 00:10:45,270 --> 00:10:50,090
591
+ ู‡ุชุธู„ู‡ุง ูุนู„ูŠุง ุนุงูŠุดุฉ ูˆ ุจุชุชูƒุซุฑ ู„ุฃ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ู‡ุชุธู„ู‡ุง
592
+
593
+ 149
594
+ 00:10:50,090 --> 00:10:54,710
595
+ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงูƒุชุณุจุช ุฎุตุงุฆุต ู‚ุงุฏุฑุฉ ุนู„ู‰
596
+
597
+ 150
598
+ 00:10:54,710 --> 00:10:58,930
599
+ ุงู„ุชุฃู‚ู„ู… ู…ุน ุงู„ environment ุงู„ู„ูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ูˆ
600
+
601
+ 151
602
+ 00:10:58,930 --> 00:11:02,550
603
+ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ proliferation ุฃูˆ ู…ู…ูƒู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง
604
+
605
+ 152
606
+ 00:11:02,550 --> 00:11:07,250
607
+ invasion ู„ุงู„ู„ูŠ ู‡ูˆ ุฃู…ุงูƒู† ุฃุฎุฑู‰ ูŠุจู‚ู‰ a chance events
608
+
609
+ 153
610
+ 00:11:07,250 --> 00:11:09,710
611
+ give rise to mutations that convert changes in
612
+
613
+ 154
614
+ 00:11:09,710 --> 00:11:13,670
615
+ phenotype and allow adaptation to the environment
616
+
617
+ 155
618
+ 00:11:13,670 --> 00:11:18,450
619
+ resulting in the selectionand survival of the
620
+
621
+ 156
622
+ 00:11:18,450 --> 00:11:23,290
623
+ fittest ูŠุจู‚ู‰ ุงู„ุฃูุถู„ ุงู„ู„ู‰ ุฌุฏุฑ ุงู‚ู„ู… ู†ูุณู‡ ุงู„ุฎู„ุงูŠุง
624
+
625
+ 157
626
+ 00:11:23,290 --> 00:11:25,810
627
+ ุงู„ู„ู‰ ุงู„ cancer cells ุงู„ู„ู‰ ุฌุฏุฑ ุงู‚ู„ู… ู†ูุณู‡ุง ู…ุน ุงู„
628
+
629
+ 158
630
+ 00:11:25,810 --> 00:11:29,710
631
+ environment ุงู„ู„ู‰ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ุงู„ู„ู‰ ุจุชุจู‚ู‰ ูˆ ุงู„ุฎู„ุงูŠุง
632
+
633
+ 159
634
+ 00:11:29,710 --> 00:11:36,850
635
+ ุงู„ุฃุฎุฑู‰ ุจุชู†ุฏุซุฑ ุทูŠุจ ุงู„ุขู† ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ููŠ ุงู„ุฎู„ุงูŠุง
636
+
637
+ 160
638
+ 00:11:36,850 --> 00:11:40,150
639
+ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง defense mechanisms ูˆ ุงู„ defense
640
+
641
+ 161
642
+ 00:11:40,150 --> 00:11:45,220
643
+ mechanisms ู‡ุฐู‡ ุงู„ู…ูˆุฌูˆุฏุฉ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุงูŠุชุบูŠุฑ ููŠ
644
+
645
+ 162
646
+ 00:11:45,220 --> 00:11:51,000
647
+ ุงู„ DNA ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุง repair ุทูŠุจ ูƒูŠู ู…ุน
648
+
649
+ 163
650
+ 00:11:51,000 --> 00:11:53,700
651
+ ูˆุฌูˆุฏ ุงู„ defense mechanisms ู‡ุฐู‡ ูˆ ุงู„ DNA repair
652
+
653
+ 164
654
+ 00:11:53,700 --> 00:11:57,380
655
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุฎู„ุงูŠุง ูƒูŠู ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุง
656
+
657
+ 165
658
+ 00:11:57,380 --> 00:12:01,440
659
+ mutations ูˆ ูŠุตูŠุฑ ููŠ ุนู†ุง accumulation ู„ู‡ุฐู‡ ุงู„
660
+
661
+ 166
662
+ 00:12:01,440 --> 00:12:04,880
663
+ mutations ุทุจุนุง ู…ู† ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ุงู†ู‡ ูŠุตูŠุฑ
664
+
665
+ 167
666
+ 00:12:04,880 --> 00:12:09,520
667
+ ููŠ ุนู†ุง mutation ููŠ ุงู„ proteins ุงู„ู…ุณุฆูˆู„ุฉ ุนู† ุงู„ DNA
668
+
669
+ 168
670
+ 00:12:09,520 --> 00:12:14,280
671
+ repairูŠุจู‚ู‰ ุฒูŠ ู…ุง ุญุฏุซุชูˆุง ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„
672
+
673
+ 169
674
+ 00:12:14,280 --> 00:12:16,540
675
+ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€ DNA repairุŒ ููŠ ุนู†ุฏู†ุง ู…ูŠูƒุงู†ูŠุฒู…
676
+
677
+ 170
678
+ 00:12:16,540 --> 00:12:22,120
679
+ ู…ุฎุชู„ูุฉ ู„ู€ ุงู„ู€ DNA repair ูˆู…ู…ูƒู† ูุนู„ูŠุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
680
+
681
+ 171
682
+ 00:12:22,120 --> 00:12:26,560
683
+ mutations ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุณุคูˆู„ุฉ ุนู† ุงู„ู€ DNA repair
684
+
685
+ 172
686
+ 00:12:26,560 --> 00:12:29,780
687
+ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุซุงู„ ุนู†ุฏู†ุง ููŠ ุงู„ breast cancer ุงู„ู„ูŠ
688
+
689
+ 173
690
+ 00:12:29,780 --> 00:12:33,710
691
+ ู‡ูˆ ุงู„ู€ BRCA genesุงู„ู€ Brachia GenesุŒ ุงู„ู€ Genุงุช ุงู„ู„ูŠ
692
+
693
+ 174
694
+ 00:12:33,710 --> 00:12:36,470
695
+ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ ุงู„ู€ DNA repair ุชู…ุงู…ุŸ ูˆุจุงู„ุชุงู„ูŠ
696
+
697
+ 175
698
+ 00:12:36,470 --> 00:12:39,850
699
+ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู†ุง ูุนู„ูŠุง mutation ููŠ ู‡ุฐู‡ ุงู„ genes
700
+
701
+ 176
702
+ 00:12:39,850 --> 00:12:44,250
703
+ ูˆูŠู†ุชุฌ ุนู†ุงุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Non-Functional Protein ูˆูŠุตูŠุฑ
704
+
705
+ 177
706
+ 00:12:44,250 --> 00:12:48,470
707
+ ููŠ ุนู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ DNA Repair ุฃูŠุถู‹ุงุŒ ุนู†ุง ู…ู† ุงู„ู€
708
+
709
+ 178
710
+ 00:12:48,470 --> 00:12:51,770
711
+ Tumor Suppressor Genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ู…ูˆุถูˆุน
712
+
713
+ 179
714
+ 00:12:51,770 --> 00:12:55,250
715
+ ุงู„ู€ DNA Repair ูˆ ุงู„ู€ Cell Cycle Arrest ูˆุญุชู‰ ุงู„ู€
716
+
717
+ 180
718
+ 00:12:55,250 --> 00:13:01,550
719
+ Induction of Apoptosis ุนู†ุง ุงู„ู€ B53 ูˆุงู„ู€ B53 ููŠ
720
+
721
+ 181
722
+ 00:13:01,550 --> 00:13:08,220
723
+ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ cancers ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ mutationุชู…ุงู…
724
+
725
+ 182
726
+ 00:13:08,220 --> 00:13:12,080
727
+ ูˆูŠุชุญูˆู„ ุฅู„ู‰ non-functional ุงู„ุจุฑูˆุชูŠู†ูˆ ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
728
+
729
+ 183
730
+ 00:13:12,080 --> 00:13:16,240
731
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ repair ุนู…ู„ูŠุฉ ุงู„ cell cycle arrest ูˆุฃูŠุถุง
732
+
733
+ 184
734
+ 00:13:16,240 --> 00:13:18,420
735
+ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ induction of apoptosis ูƒู„ู‡ุง ุฏูŠ
736
+
737
+ 185
738
+ 00:13:18,420 --> 00:13:23,600
739
+ ู‡ุชุชุฃุซุฑ ููŠ ุญุงู„ ุงู†ู‡ ุงู„ B53 ุตุงุฑ ููŠ ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจู‚ู‰
740
+
741
+ 186
742
+ 00:13:23,600 --> 00:13:26,200
743
+ ุงู„ุขู† ุงู† any alterations of DNA that are not
744
+
745
+ 187
746
+ 00:13:26,200 --> 00:13:28,860
747
+ repaired before the next cell division are passed
748
+
749
+ 188
750
+ 00:13:28,860 --> 00:13:32,720
751
+ on to the daughter cells and are maintainedูŠุจู‚ู‰
752
+
753
+ 189
754
+ 00:13:32,720 --> 00:13:36,580
755
+ ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉ ููŠ DNA repair ุตุงุฑ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„
756
+
757
+ 190
758
+ 00:13:36,580 --> 00:13:41,480
759
+ DNA repair ูˆู…ุง ุชู…ุด ุญู„ ุงู„ู…ุดูƒู„ุฉ ู‚ุจู„ ุงู„ุงู†ู‚ุณุงู… ุงู„ุชุงู„ูŠ
760
+
761
+ 191
762
+ 00:13:41,480 --> 00:13:44,460
763
+ ูŠุจู‚ู‰ ู…ุนู†ุงู‡ ุงู„ mutation ุงู„ู„ูŠ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ููŠ ุฎู„ูŠุฉ
764
+
765
+ 192
766
+ 00:13:44,460 --> 00:13:49,080
767
+ ู‡ูŠุตูŠุฑ ู…ูˆุฌูˆุฏุฉ ููŠ ุฎู„ูŠุชูŠู† ูˆู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุฃุฑุจุนุฉ ูˆ ุงู„ู„ูŠ
768
+
769
+ 193
770
+ 00:13:49,080 --> 00:13:53,100
771
+ ู‡ูˆ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุงู†ุชู‚ุงู„ ู„ู‡ุฐู‡ ุงู„ mutation ุฃูˆ ุงู„
772
+
773
+ 194
774
+ 00:13:53,100 --> 00:13:57,570
775
+ mutationsุงู„ู‰ ุงู„ daughter cells ุทูŠุจ ุงู„ in cases of
776
+
777
+ 195
778
+ 00:13:57,570 --> 00:14:00,630
779
+ severe DNA damage cell suicide is induced in order
780
+
781
+ 196
782
+ 00:14:00,630 --> 00:14:03,670
783
+ to protect the whole body from cell transformation
784
+
785
+ 197
786
+ 00:14:03,670 --> 00:14:07,370
787
+ ูˆู‡ุฐุง ูุนู„ูŠุง ุงู„ุชุณู„ุณู„ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ูŠุนู†ูŠ ุงู†ุชูˆุง ู„ู…ุง ุญูƒูŠู†ุง
788
+
789
+ 198
790
+ 00:14:07,370 --> 00:14:11,090
791
+ ุนู„ู‰ ุงู„ B53 ุงู„ุขู† ุงู„ B53 ุงุฐุง ูƒุงู† ุงู†ุง ุตุงุฑ ููŠ ุนู†ุฏูŠ
792
+
793
+ 199
794
+ 00:14:11,090 --> 00:14:18,200
795
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ DNAุฃูˆู„ ุงุดูŠ ุจูŠุนู…ู„ู‡ ุงู†ู‡ ุจูŠุนู…ู„ ุนู„ู‰ ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:14:18,200 --> 00:14:23,680
799
+ ู‡ูˆ cell cycle arrest ุจูŠูˆู‚ู ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉ ู„ูŠุดุŸ ุนุดุงู†
800
+
801
+ 201
802
+ 00:14:23,680 --> 00:14:27,680
803
+ ู†ุนุทูŠ ูุฑุตุฉ ู„ู„ repair mechanisms ุงู†ู‡ุง ุชุตูŠุฑ ุทูŠุจ
804
+
805
+ 202
806
+ 00:14:27,680 --> 00:14:31,080
807
+ ู…ุงุตุงุฑุชุด repair mechanisms ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ูŠุตูŠุฑ ููŠู‡ุง
808
+
809
+ 203
810
+ 00:14:31,080 --> 00:14:34,420
811
+ induction of apoptosis ูˆ ุงู„ุฎู„ูŠุฉ ู‡ุงุฏู‰ ุงุชู…ูˆุช ูˆ ู†ุชุฎู„ุต
812
+
813
+ 204
814
+ 00:14:34,420 --> 00:14:38,970
815
+ ู…ู†ู‡ุงุชู…ุงู… ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู€ B53 ุจูŠู„ุงุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ู‡ุฐุง
816
+
817
+ 205
818
+ 00:14:38,970 --> 00:14:43,030
819
+ ุงู„ู…ูˆุถูˆุน ุทุจุนุง ุจูŠุจู‚ู‰ many mechanisms exist for
820
+
821
+ 206
822
+ 00:14:43,030 --> 00:14:46,310
823
+ blocking carcinogenic events ูˆุฅู† ุงู„ู„ูŠ ู‡ูˆ tumor
824
+
825
+ 207
826
+ 00:14:46,310 --> 00:14:49,410
827
+ suppressor genes ุนุฏูŠุฏุฉ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู„ู…ุง ู‡ู†ุญูƒูŠ ุนู† ุงู„
828
+
829
+ 208
830
+ 00:14:49,410 --> 00:14:52,190
831
+ tumor suppressors ุจูŠุนู†ูŠ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ mechanisms
832
+
833
+ 209
834
+ 00:14:52,190 --> 00:14:58,010
835
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู„ูŠ ุจุชู…ู†ุน ู…ู† ูุนู„ูŠุง ุชูƒูˆู† ุงู„ cancer
836
+
837
+ 210
838
+ 00:14:58,010 --> 00:15:16,070
839
+ ู„ูƒู†ุงู„ุชุนุงู…ู„ ุจุงู„ู†ุธุงู… ุชุฒุฏุงุฏ ูุฑุตุฉ ุชูู„ุช ู…ู†
840
+
841
+ 211
842
+ 00:15:16,070 --> 00:15:22,750
843
+ ู†ุธุงู… ุงู„ู…ุฑุงู‚ุจุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ุฏุงุฎู„ ุงู„ุฌุณู… process that
844
+
845
+ 212
846
+ 00:15:22,750 --> 00:15:26,290
847
+ contribute to the overall net cell number in an
848
+
849
+ 213
850
+ 00:15:26,290 --> 00:15:30,730
851
+ individualูˆู‡ุฐู‡ ุงู„ุนู…ู„ูŠุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ู‰ ู…ู…ูƒู† ุชุคุฏูŠ
852
+
853
+ 214
854
+ 00:15:30,730 --> 00:15:37,230
855
+ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุงู„ู„ู‰ growth, apoptosis and
856
+
857
+ 215
858
+ 00:15:37,230 --> 00:15:41,530
859
+ differentiation ุงู„ cell proliferation ุงู„ู„ู‰ cell
860
+
861
+ 216
862
+ 00:15:41,530 --> 00:15:45,750
863
+ division ุงูˆ cell growth ู‡ุฐู‰ ู…ู† ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ู‰ ุจุชุฒูŠุฏ
864
+
865
+ 217
866
+ 00:15:45,750 --> 00:15:50,770
867
+ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง cell proliferation ู…ุนู†ุงุชู‡ ู…ู…ูƒู† ูŠุชูƒูˆู†
868
+
869
+ 218
870
+ 00:15:50,770 --> 00:15:55,070
871
+ ุงู†ู‡ cancer cell division results in two daughter
872
+
873
+ 219
874
+ 00:15:55,070 --> 00:15:58,910
875
+ cellsุจุฌู‡ ู‡ุฐุง ู…ู† ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ู‰ ุจุชุฒูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
876
+
877
+ 220
878
+ 00:15:58,910 --> 00:16:04,370
879
+ ุงูŠุถุง ุงู† ุงู„ุงุจูˆุจุชูˆุฒุฒ ู…ุงู†ุน ุงู„ุงุจูˆุจุชูˆุฒุฒ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠ
880
+
881
+ 221
882
+ 00:16:04,370 --> 00:16:09,750
883
+ ุงู†ู‡ ุงู†ู‡ูŠุจุดู† ู„ู„ุงุจูˆุจุชูˆุฒุฒ ู„ุณุจุจ ุงูˆ ู„ุงุฎุฑ ุชู…ุงู… ู…ุนู†ุงู‡
884
+
885
+ 222
886
+ 00:16:09,750 --> 00:16:14,210
887
+ ุชูˆู‡ุงู† ู…ู…ูƒู† ู‡ุฐุง ูŠุคุฏูŠ ุงู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
888
+
889
+ 223
890
+ 00:16:14,210 --> 00:16:16,890
891
+ ุงู„ุงุจูˆุจุชูˆุฒุฒ elimination of cells by program cell
892
+
893
+ 224
894
+ 00:16:16,890 --> 00:16:20,920
895
+ deathุงู„ุฎู„ุงูŠุง ุชุฃุซูŠุฑ ุนู„ู‰ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ู„ูˆ ุชู… ู…ู†ุน
896
+
897
+ 225
898
+ 00:16:20,920 --> 00:16:24,780
899
+ ุงู„ุงุจูˆุชุงุฒุงุช ุจุฌุง ู…ุนู†ุงุชู‡ ุญูŠุตูŠุฑ ููŠ ุงู†ู‡ุง ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ
900
+
901
+ 226
902
+ 00:16:24,780 --> 00:16:30,060
903
+ ุงู„ุฎู„ุงูŠุง ุงู„ process ุงู„ุชุงู„ุชุฉ ู‡ูŠ ุงู„ differentiation
904
+
905
+ 227
906
+ 00:16:30,060 --> 00:16:34,800
907
+ ุงู„ู„ูŠ ู‡ูˆ ุชู…ุงูŠุฒ ุงู„ุฎู„ุงูŠุง during the process of
908
+
909
+ 228
910
+ 00:16:34,800 --> 00:16:38,140
911
+ differentiation cells can enter an inactive phase
912
+
913
+ 229
914
+ 00:16:38,140 --> 00:16:41,900
915
+ of cell growthุชู…ุงู… ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ
916
+
917
+ 230
918
+ 00:16:41,900 --> 00:16:46,780
919
+ differentiation ู„ ุงู„ุฎู„ุงูŠุง ูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ุจุชุชูˆู‚ู ุนู†
920
+
921
+ 231
922
+ 00:16:46,780 --> 00:16:52,160
923
+ ุงู„ proliferation ุทูŠุจ ู„ูˆ ู…ุงุตุงุฑุด ู„ูˆ ุตุงุฑ ููŠ ุงู† ุงุดูŠ
924
+
925
+ 232
926
+ 00:16:52,160 --> 00:16:56,580
927
+ ู…ู†ุน ุงู„ differentiation ุฒูŠ ู…ุง ุจุตูŠุฑ ููŠ ุจุนุถ ุญุงู„ุงุช
928
+
929
+ 233
930
+ 00:16:56,580 --> 00:17:01,320
931
+ ุงู„ู„ูˆูƒูŠู…ูŠุง ุฅุฐุง ูƒุงู† ุชู… ู…ู†ุน ุงู„ differentiation ูŠุจู‚ู‰
932
+
933
+ 234
934
+ 00:17:01,320 --> 00:17:04,940
935
+ ู…ุนู†ุงุชู‡ ุงู„ุฎู„ุงูŠุง ู‡ูŠุถู„ ููŠ ุนู†ุฏู‡ุง ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„
936
+
937
+ 235
938
+ 00:17:04,940 --> 00:17:09,140
939
+ proliferation ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุงูˆุจู‡ุฏูˆู„
940
+
941
+ 236
942
+ 00:17:09,140 --> 00:17:13,860
943
+ ุงู„ุชู„ุงุช ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ู‡ุฏูˆู„ ุจูŠุฃุซุฑูˆุง ุนู„ู‰ ุนุฏุฏ
944
+
945
+ 237
946
+ 00:17:13,860 --> 00:17:17,340
947
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ูˆุฌูˆุฏุฉ DNA mutations that alter the
948
+
949
+ 238
950
+ 00:17:17,340 --> 00:17:21,820
951
+ function of normal genes involved in a growth,
952
+
953
+ 239
954
+ 00:17:22,080 --> 00:17:25,280
955
+ apoptosis or differentiation can affect the
956
+
957
+ 240
958
+ 00:17:25,280 --> 00:17:28,280
959
+ balance of cell numbers in the body and lead to
960
+
961
+ 241
962
+ 00:17:28,280 --> 00:17:34,040
963
+ unregulated growthุฃูŠ mutations ุญุตูŠุฑ ููŠ ุงู„ ุงู„ ุงู„
964
+
965
+ 242
966
+ 00:17:34,040 --> 00:17:37,760
967
+ genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ู‡ุฏูˆู„ ุนู…ู„ูŠุงุช ุงู„ุชู„ุงุชุฉ ู…ู…ูƒู†
968
+
969
+ 243
970
+ 00:17:37,760 --> 00:17:40,980
971
+ ุจุงู„ู†ู‡ุงูŠุฉ ูŠุคุฏูŠ ุฅู„ู‰ unregulated ุฅุฌุฑุงุซุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง
972
+
973
+ 244
974
+ 00:17:40,980 --> 00:17:43,320
975
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ุจุงู„ cell
976
+
977
+ 245
978
+ 00:17:43,320 --> 00:17:48,280
979
+ proliferation ุชู…ุงู… ูˆุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู‡ ุฎู„ู„ ูˆุตุงุฑ ููŠ
980
+
981
+ 246
982
+ 00:17:48,280 --> 00:17:50,860
983
+ ุฃู†ู‡ ุฒูŠุงุฏุฉ ููŠ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู†ุงุช ุจูŠุญุท ุฒูŠุงุฏุฉ ุนุฏู„ ุงู„ุฎู„ุงูŠุง
984
+
985
+ 247
986
+ 00:17:50,860 --> 00:17:57,630
987
+ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู‡ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ู‰ ุจุชู‚ุฏูŠ
988
+
989
+ 248
990
+ 00:17:57,630 --> 00:18:00,890
991
+ ุงู„ุงุจูˆุจุชูˆุฒุฒ ู‡ูŠุฒูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ูˆ if the cancer ููŠ
992
+
993
+ 249
994
+ 00:18:00,890 --> 00:18:03,230
995
+ ุฃู†ู‡ ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ู‰ ุนู„ุงู‚ุฉ ุจูŠู‡ ุงู„
996
+
997
+ 250
998
+ 00:18:03,230 --> 00:18:06,930
999
+ differentiation ุจูŠุจู‚ู‰ ู…ุนู†ุงู‡ุง ุจุฑุถู‡ ู‡ูŠุฒูŠุฏ ุนุฏุฏ
1000
+
1001
+ 251
1002
+ 00:18:06,930 --> 00:18:11,230
1003
+ ุงู„ุฎู„ุงูŠุง ุทูŠุจ ุนุดุงู† ูŠุนู†ูŠ ุชูˆุถุญ ุงู„ููƒุฑุฉ ุฃูƒุชุฑ ู‡ู†ุง ุฅู†
1004
+
1005
+ 252
1006
+ 00:18:11,230 --> 00:18:16,030
1007
+ ุงู„ููŠุฌุฑ ู‡ุฐุง ุจูŠูˆุถุญ ููŠู‡ ู‡ู†ุง ุฃู† ุฎู„ุงูŠุง ุฃุฑุจุน ุฎู„ุงูŠุง ู‚ุงุฏุฑุฉ
1008
+
1009
+ 253
1010
+ 00:18:16,030 --> 00:18:20,610
1011
+ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ููŠ ุฃู† ุฃุฑุจุน ุฎู„ุงูŠุง ููŠ induction of
1012
+
1013
+ 254
1014
+ 00:18:20,610 --> 00:18:26,460
1015
+ apoptosisูˆ ู‡ุชู…ูˆุช ูˆ ููŠ ุนู†ุฏู†ุง ุฎู„ูŠุฉ ุจุณู„ู‡ุง
1016
+
1017
+ 255
1018
+ 00:18:26,460 --> 00:18:31,220
1019
+ differentiation ุชู…ุงู… ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงู†ู‚ุณู…ุช
1020
+
1021
+ 256
1022
+ 00:18:31,220 --> 00:18:37,260
1023
+ ูƒู„ ุฎู„ูŠุฉ ุงุนุชุทู† ุฎู„ูŠุชูŠู† ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุตุงุฑูˆุง ุชู…ุงู†ูŠุฉ ุชู…ุงู…
1024
+
1025
+ 257
1026
+ 00:18:37,260 --> 00:18:42,340
1027
+ ู„ูƒู† ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏู†ุง ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชูˆุง ูˆ ุฎู„ูŠุฉ
1028
+
1029
+ 258
1030
+ 00:18:42,340 --> 00:18:45,840
1031
+ ุตุงุฑุชู‡ุง differentiationูŠุจู‚ู‰ ุนุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ total
1032
+
1033
+ 259
1034
+ 00:18:45,840 --> 00:18:50,640
1035
+ cells ุญูุธู†ุง ุนู„ูŠู‡ ุจุฅู†ู‡ ุถุงู„ู‡ ุชุณุนุฉุŒ ูŠุจู‚ู‰ ุชุณุนุฉ ุฎู„ุงูŠุง
1036
+
1037
+ 260
1038
+ 00:18:50,640 --> 00:18:55,240
1039
+ ูˆุถุงู„ ููŠู†ุง ุชุณุนุฉ ุฎู„ุงูŠุง ู„ุฃู†ู‡ ููŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุญูƒู… ููŠ
1040
+
1041
+ 261
1042
+ 00:18:55,240 --> 00:18:59,300
1043
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
1044
+
1045
+ 262
1046
+ 00:18:59,300 --> 00:19:03,500
1047
+ cell number ุฃุฑุจุน ุฎู„ุงูŠุง ุงู†ู‚ุณู…ูˆุง ูŠุฏูˆู†ูŠ ุชู…ุงู†ูŠุฉุŒ
1048
+
1049
+ 263
1050
+ 00:19:03,500 --> 00:19:07,710
1051
+ ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏูŠ ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชุชูˆุฎู„ูŠุฉ ุตู„ุช
1052
+
1053
+ 264
1054
+ 00:19:07,710 --> 00:19:09,490
1055
+ differentiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู„ู…ุง ุจูŠุตูŠุฑ ููŠู‡
1056
+
1057
+ 265
1058
+ 00:19:09,490 --> 00:19:12,930
1059
+ differentiation ุจุชูู‚ุฏ ุงู„ุฎู„ูŠุฉ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„
1060
+
1061
+ 266
1062
+ 00:19:12,930 --> 00:19:17,270
1063
+ proliferation ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ูˆ ุตุงุฑ ููŠ
1064
+
1065
+ 267
1066
+ 00:19:17,270 --> 00:19:20,730
1067
+ ุนู†ุฏู†ุง apoptosis is blocked in one cell ุฎู„ูŠุฉ ูˆุงุญุฏุฉ
1068
+
1069
+ 268
1070
+ 00:19:20,730 --> 00:19:25,070
1071
+ ู…ู† ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ูŠุตูŠุฑ ู„ู‡ุง apoptosis ุตุงุฑ ููŠ ุนู†ุฏูŠ
1072
+
1073
+ 269
1074
+ 00:19:25,070 --> 00:19:27,870
1075
+ ู…ุดูƒู„ุฉ mutations ููŠ ุงู„ genes ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ููŠ ุงู„
1076
+
1077
+ 270
1078
+ 00:19:27,870 --> 00:19:32,090
1079
+ apoptosis ูˆ ุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ุงู…ุชุชุด ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง
1080
+
1081
+ 271
1082
+ 00:19:32,090 --> 00:19:37,040
1083
+ ุงู„ุงุฑุจุนุฉ dividing cells ุงู„ุฃุฑุจุนุฉ ุงุนุทูˆู†ูŠ ุชู…ุงู†ูŠุฉุชู…ุงู…
1084
+
1085
+ 272
1086
+ 00:19:37,040 --> 00:19:41,060
1087
+ ูˆููŠ ุนู†ุฏูŠ ุชู„ุช ุฎู„ุงูŠุง ู…ุงุชูˆุง ุฎู„ูŠุฉ ุตู„ู‰ differentiation
1088
+
1089
+ 273
1090
+ 00:19:41,060 --> 00:19:45,200
1091
+ ู„ูƒู† ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุชู…ูˆุช ูˆู…ุง ู…ุงุชุชุด ุตุงุฑุช ู‡ุฐู‡
1092
+
1093
+ 274
1094
+ 00:19:45,200 --> 00:19:50,010
1095
+ ุงู„ุฎู„ูŠุฉ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ุชู…ุงู… ูˆุจุงู„ุชุงู„ูŠุงู„ุขู†
1096
+
1097
+ 275
1098
+ 00:19:50,010 --> 00:19:54,850
1099
+ ุงู„ุฎู„ุงูŠุง ุจุฏู„ ู…ุง ุญูุธู†ุง ุนู„ูŠู‡ู… ุชุณุนุฉ ุฎู„ุงูŠุง ุตุงุฑ ููŠ ุนู†ุง
1100
+
1101
+ 276
1102
+ 00:19:54,850 --> 00:20:00,450
1103
+ ุงุญุชุงุดุฑ ุฎู„ูŠุฉ I ุจุฒุงุฏูˆุง ุฎุงู„ูŠุชูŠู† ุชู…ุงู… ุจุฌุงู†ุจ ุงู„ููƒุฑุฉ
1104
+
1105
+ 277
1106
+ 00:20:00,450 --> 00:20:02,930
1107
+ ุงู„ู„ูŠ ุจูˆุถุญ ุงู„ููƒุฑุฉ ุงู†ู‡ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ three
1108
+
1109
+ 278
1110
+ 00:20:02,930 --> 00:20:07,930
1111
+ processes ูˆูƒูŠู ู…ู…ูƒู† ุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู…ุญุงูุธุฉ ุนู„ู‰ ุงู„
1112
+
1113
+ 279
1114
+ 00:20:07,930 --> 00:20:11,090
1115
+ cell number gene mutations which can lead to
1116
+
1117
+ 280
1118
+ 00:20:11,090 --> 00:20:16,190
1119
+ cancer ุทุจุนุง ุงุญู†ุง ููŠ ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†ุฏู†ุง mutations ููŠ
1120
+
1121
+ 281
1122
+ 00:20:16,190 --> 00:20:21,270
1123
+ genes ู…ุฎุชู„ูุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุฏุงุฎู„ ุงู„ุฌุณู…ุทุจ ู‡ู„ ูƒู„ mutation
1124
+
1125
+ 282
1126
+ 00:20:21,270 --> 00:20:27,410
1127
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancerุŸ ุทุจุนุงู‹ ู„ุฃ ูŠุจู‚ู‰ ุงู„
1128
+
1129
+ 283
1130
+ 00:20:27,410 --> 00:20:31,870
1131
+ mutation ุงู„ู„ูŠ ุจุฏู‡ุง ุชุตูŠุฑ ุจุฏู‡ุง ุชุตูŠุฑ ููŠ gene ุงู„ู„ูŠ
1132
+
1133
+ 284
1134
+ 00:20:31,870 --> 00:20:36,250
1135
+ ุนู„ุงู‚ุฉ ุจ ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
1136
+
1137
+ 285
1138
+ 00:20:36,250 --> 00:20:40,570
1139
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ู…ูˆุถูˆุน ุงู„ cell number
1140
+
1141
+ 286
1142
+ 00:20:40,570 --> 00:20:45,150
1143
+ ูŠุจู‚ู‰ ุนู„ู‰ ุณุจูŠู„ ุงู„ุจุซุงู„ ู„ูˆ ุตุงุฑ ููŠู†ุง mutation in the
1144
+
1145
+ 287
1146
+ 00:20:45,150 --> 00:20:50,040
1147
+ hemoglobin geneู‡ุฐุง ู…ุด ู‡ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ู„ูƒู†
1148
+
1149
+ 288
1150
+ 00:20:50,040 --> 00:20:55,680
1151
+ ู‡ูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ function ู„ู‡ูŠู…ูˆุฌู„ูˆุจูŠู† ุงู„ู€ function of
1152
+
1153
+ 289
1154
+ 00:20:55,680 --> 00:20:57,640
1155
+ hemoglobin does not affect cell growth
1156
+
1157
+ 290
1158
+ 00:20:57,640 --> 00:21:01,680
1159
+ differentiation or death and does not lead to
1160
+
1161
+ 291
1162
+ 00:21:01,680 --> 00:21:07,720
1163
+ unregulated growth of blood cells ุชู…ุงู…ุŸ ูุจุงู„ุชุงู„ูŠ
1164
+
1165
+ 292
1166
+ 00:21:07,720 --> 00:21:12,340
1167
+ ุงู„ู€ hemoglobin gene is not a proto-oncogeneูŠุจู‚ู‰
1168
+
1169
+ 293
1170
+ 00:21:12,340 --> 00:21:15,960
1171
+ ุฅุฐุง ูƒุงู†ุช ุจูŠุตูŠุฑ ููŠู†ุง cancerุŒ ุจูŠุตูŠุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„
1172
+
1173
+ 294
1174
+ 00:21:15,960 --> 00:21:19,920
1175
+ genes ุงู„ู„ูŠ ู‡ุงู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ processes ุงู„ู„ูŠ ุญูƒูŠู†ุง
1176
+
1177
+ 295
1178
+ 00:21:19,920 --> 00:21:24,460
1179
+ ุนู„ูŠู‡ุงุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cell growthุŒ ุงู„-apoptosis ุฃูˆ ุงู„
1180
+
1181
+ 296
1182
+ 00:21:24,460 --> 00:21:29,410
1183
+ differentiationูˆ ู‡ุฐู‡ ุงู„ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
1184
+
1185
+ 297
1186
+ 00:21:29,410 --> 00:21:33,650
1187
+ ุจุงู„ุชู„ุงุช ุงู„ process ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„
1188
+
1189
+ 298
1190
+ 00:21:33,650 --> 00:21:37,730
1191
+ onco genes ูˆ ุงู„ tumor suppressor genes ุงู„ growth
1192
+
1193
+ 299
1194
+ 00:21:37,730 --> 00:21:40,790
1195
+ is regulated by both positive and negative
1196
+
1197
+ 300
1198
+ 00:21:40,790 --> 00:21:47,450
1199
+ molecular factors ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ growth ูŠุจู‚ู‰
1200
+
1201
+ 301
1202
+ 00:21:47,450 --> 00:21:53,270
1203
+ ููŠ ุนู†ุง enhancement of positive factors ุชู…ุงู…ุŸ ุงู†
1204
+
1205
+ 302
1206
+ 00:21:53,270 --> 00:21:58,600
1207
+ ูŠุตูŠุฑ ููŠ ุนู†ุง ุฒูŠุงุฏุฉ ููŠุงู„ู€ Growth Factors ุชู…ุงู…
1208
+
1209
+ 303
1210
+ 00:21:58,600 --> 00:22:01,740
1211
+ ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Cell Growth Cell
1212
+
1213
+ 304
1214
+ 00:22:01,740 --> 00:22:08,020
1215
+ Proliferation ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
1216
+
1217
+ 305
1218
+ 00:22:08,020 --> 00:22:11,020
1219
+ ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Depletion of Negative Factors
1220
+
1221
+ 306
1222
+ 00:22:11,020 --> 00:22:13,880
1223
+ is required ุชู…ุงู… ุฒูŠ ู…ุง ุชูˆูŠ ุดูˆูู†ุง ุฃู†ู‡ ูŠุตูŠุฑ ููŠู†ุง
1224
+
1225
+ 307
1226
+ 00:22:13,880 --> 00:22:17,440
1227
+ ู…ุซู„ุง Depletion of Negative Factors ุงู„ู„ูŠ ู‡ูŠ ุงู„
1228
+
1229
+ 308
1230
+ 00:22:17,440 --> 00:22:21,360
1231
+ factors ุงู„ู„ูŠ ุจุชู‚ู„ู„ ู…ู† ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุฒูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ู…ูƒู†
1232
+
1233
+ 309
1234
+ 00:22:21,360 --> 00:22:26,370
1235
+ ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชุนู…ู„ูŠ induction of apoptosisู‡ุคู„ุงุก
1236
+
1237
+ 310
1238
+ 00:22:26,370 --> 00:22:30,190
1239
+ ุงู„ูˆุงู‚ุนุงุช ู‡ูŠ ู†ูˆุนุงุช ู…ู† ุงู„ุฌู† ูˆูƒู„ ุงู„ุฌู„ุฏ ุจุงุณุชุฎุฏุงู… ุงู„ุจูŠุช
1240
+
1241
+ 311
1242
+ 00:22:30,190 --> 00:22:35,650
1243
+ ูˆุฌู„ุฏ ุงู„ู€ Spam ูŠุญุชูˆูŠ ุนู„ู‰ ุงุชูุงู‚ูŠู† ู„ูƒู„ ุฌู† ูˆุจุงู„ุชุงู„ูŠ
1244
+
1245
+ 312
1246
+ 00:22:35,650 --> 00:22:40,510
1247
+ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ู…ุฎุชู„ูุฉ ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1248
+
1249
+ 313
1250
+ 00:22:40,510 --> 00:22:40,790
1251
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1252
+
1253
+ 314
1254
+ 00:22:40,790 --> 00:22:41,910
1255
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1256
+
1257
+ 315
1258
+ 00:22:41,910 --> 00:22:44,490
1259
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1260
+
1261
+ 316
1262
+ 00:22:44,490 --> 00:22:53,010
1263
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุจุฌุงู†ุฏูŠ
1264
+
1265
+ 317
1266
+ 00:22:53,010 --> 00:22:57,730
1267
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ู…ู…ูƒู† ููŠ ุฒูŠุงุฏุฉ ุงู„
1268
+
1269
+ 318
1270
+ 00:22:57,730 --> 00:23:01,370
1271
+ proliferation ู„ ุงู„ุฎู„ุงูŠุง ุนุณุจ ุงู„ู…ุซุงู„ ุฒูŠ ุงู„ุจุฑูˆุชูŠู†ุงุช
1272
+
1273
+ 319
1274
+ 00:23:01,370 --> 00:23:04,130
1275
+ ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ cell cycle ูˆุฏุฎูˆู„
1276
+
1277
+ 320
1278
+ 00:23:04,130 --> 00:23:08,830
1279
+ ุงู„ุฎู„ูŠุฉ ููŠ ุงู†ู‚ุณุงู… ุงู„ุจุฑูˆุชูŠู† ุงู„ product is produced
1280
+
1281
+ 321
1282
+ 00:23:08,830 --> 00:23:12,270
1283
+ in higher quantities or has increased activity
1284
+
1285
+ 322
1286
+ 00:23:12,270 --> 00:23:17,070
1287
+ ุจุฅู…ุง ุจุฒูŠุฏ ุนู†ู‡ุง ู…ู…ูƒู† ุงู„ growth factors ู…ุซู„ุง ุฃูˆ ู…ู…ูƒู†
1288
+
1289
+ 323
1290
+ 00:23:17,070 --> 00:23:21,550
1291
+ ุชุฒูŠุฏ ุนู†ู‡ุง ุงู„ activityand therefore acts in a
1292
+
1293
+ 324
1294
+ 00:23:21,550 --> 00:23:25,710
1295
+ dominant manner to initiate a tumor formation
1296
+
1297
+ 325
1298
+ 00:23:25,710 --> 00:23:30,090
1299
+ ูŠุจุฌู‡ุงู† ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ gene ูˆุงุญุฏ ู…ู† ุงู„ two genes
1300
+
1301
+ 326
1302
+ 00:23:30,090 --> 00:23:34,610
1303
+ ุงู„ู…ูˆุฌูˆุฏูŠู† ู„ูˆ gene ูˆุงุญุฏ ุตุงุฑ ููŠู‡ ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจุฌู‡ ู‡ุฐุง
1304
+
1305
+ 327
1306
+ 00:23:34,610 --> 00:23:38,270
1307
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ cancer ูŠุจุฌู‡ุงู† ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุงู† ุงู„ two
1308
+
1309
+ 328
1310
+ 00:23:38,270 --> 00:23:44,970
1311
+ copies ูŠุตูŠุฑ ููŠู‡ู… ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจุฌู‡ุงู† a mutation ููŠ
1312
+
1313
+ 329
1314
+ 00:23:44,970 --> 00:23:51,830
1315
+ gene ูˆุงุญุฏ ู‡ูŠุคุฏูŠ ุฅู„ู‰ ู…ู…ูƒู† ุฒูŠุงุฏุฉุงู„ูƒู…ูŠุงุช ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ
1316
+
1317
+ 330
1318
+ 00:23:51,830 --> 00:23:55,350
1319
+ ููŠ ุนู†ุฏู†ุง imitation ูˆุชุฒูŠุฏ ุงู„ activity ู„ู‡ุฐุง
1320
+
1321
+ 331
1322
+ 00:23:55,350 --> 00:23:59,710
1323
+ ุงู„ุจุฑูˆุชูŠู†ูˆ ูˆุจุงู„ุชุงู„ูŠ ุนุดุงู† ู‡ูŠู‚ูˆู„ู†ุง they act in a
1324
+
1325
+ 332
1326
+ 00:23:59,710 --> 00:24:02,990
1327
+ dominant manner to initiate tumor formation a
1328
+
1329
+ 333
1330
+ 00:24:02,990 --> 00:24:06,770
1331
+ mutation in only one allele is sufficient for an
1332
+
1333
+ 334
1334
+ 00:24:06,770 --> 00:24:11,390
1335
+ effect ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ specific growth factor ุฃูˆ growth
1336
+
1337
+ 335
1338
+ 00:24:11,390 --> 00:24:14,850
1339
+ factor receptor ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation
1340
+
1341
+ 336
1342
+ 00:24:14,850 --> 00:24:21,720
1343
+ ููŠ growth factorููŠ one ู‚ู„ูŠู„ ุชู…ุงู… ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ู‡ูŠุตูŠุฑ
1344
+
1345
+ 337
1346
+ 00:24:21,720 --> 00:24:25,680
1347
+ ููŠ ุนู†ุฏูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ูƒู…ูŠุงุช ู…ู† ุงู„ growth factor ุงู„ู„ูŠ
1348
+
1349
+ 338
1350
+ 00:24:25,680 --> 00:24:30,420
1351
+ ุจุชู†ุชุฌ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„ ู„ุฎู„ูŠุฉ
1352
+
1353
+ 339
1354
+ 00:24:30,420 --> 00:24:33,100
1355
+ ู„ุฏุฎูˆู„ ุจ cell cycle ูˆุจุงู„ุชุงู„ูŠ ุจุฒูŠุฏ cell
1356
+
1357
+ 340
1358
+ 00:24:33,100 --> 00:24:37,040
1359
+ proliferation ุฃูŠุถู‹ุง ุงู„ growth factor receptor ุจุฑุถู‡
1360
+
1361
+ 341
1362
+ 00:24:37,040 --> 00:24:40,660
1363
+ ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ุณุงุจู‚ู‹ุง ุฃู†ู‡ ุฒูŠุงุฏุฉ ู…ู…ูƒู† ููŠ ุงู„ receptor
1364
+
1365
+ 342
1366
+ 00:24:40,660 --> 00:24:43,920
1367
+ ู…ุนู†ุงุชู‡ ุจูŠุฎู„ูŠ ุนู†ุฏูŠ ุญุชู‰ very low concentrations of
1368
+
1369
+ 343
1370
+ 00:24:43,920 --> 00:24:47,860
1371
+ growth factor ุจูŠุฎู„ูŠ ุงู„ุฎู„ูŠุฉ ุชุณุชุฌูŠุจูˆุจุงู„ุชุงู„ูŠ ุงู„ุฎู„ูŠุฉ
1372
+
1373
+ 344
1374
+ 00:24:47,860 --> 00:24:51,820
1375
+ ุชุฏุฎู„ ุจุฑุถู‡ ุจู€ cell cycle ูˆ proliferation ุจุงู„ู†ุณุจุฉ
1376
+
1377
+ 345
1378
+ 00:24:51,820 --> 00:24:54,780
1379
+ ู„ู‡ุง ุงู„ tumor subresor genes code for proteins that
1380
+
1381
+ 346
1382
+ 00:24:54,780 --> 00:24:58,660
1383
+ play a role in inhibiting both growth and tumor
1384
+
1385
+ 347
1386
+ 00:24:58,660 --> 00:25:02,780
1387
+ formation ููŠ ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ูŠู†ุชุฌ ุนู†ู‡ุง ุจุฑูˆุชูŠู†ุงุช ุจุชู…ู†ุน
1388
+
1389
+ 348
1390
+ 00:25:02,780 --> 00:25:06,280
1391
+ ู…ู† ุญุฏูˆุซ ุงู„ cancer ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุซุงู„ ุงู„
1392
+
1393
+ 349
1394
+ 00:25:06,280 --> 00:25:11,920
1395
+ B53 ูˆ ุฃูŠุถุง ุฃู† ูŠุนุชุจุฑ tumor subresor gene ุจุฑุถู‡ ุงู„ู„ูŠ
1396
+
1397
+ 350
1398
+ 00:25:11,920 --> 00:25:16,890
1399
+ ู‡ูˆ ุงู„ Bracaู„ุฃู† ู„ู‡ู… ุนู„ุงู‚ุฉ ููŠ ุงู„ repair mechanisms
1400
+
1401
+ 351
1402
+ 00:25:16,890 --> 00:25:19,390
1403
+ ู„ุฐู„ูƒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู† ูŠุจู‚ู‰ ุฏูˆู„ ูŠุนุชุจุฑ ุชูŠูˆุจุฑ
1404
+
1405
+ 352
1406
+ 00:25:19,390 --> 00:25:23,110
1407
+ ุณุงุจุฑูŠู‡ูŠ ุตุงุฑ genes ุทูŠุจ loss of growth inhibition
1408
+
1409
+ 353
1410
+ 00:25:23,110 --> 00:25:26,010
1411
+ occurs when mutations cause a loss of function of
1412
+
1413
+ 354
1414
+ 00:25:26,010 --> 00:25:28,770
1415
+ these genes ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ุนู†ุฏู†ุง loss of growth
1416
+
1417
+ 355
1418
+ 00:25:28,770 --> 00:25:33,310
1419
+ inhibition ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ two
1420
+
1421
+ 356
1422
+ 00:25:33,310 --> 00:25:36,890
1423
+ genes ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ููŠ ุฃู† ุฏูŠ ุงูŠุงุด loss of function
1424
+
1425
+ 357
1426
+ 00:25:37,670 --> 00:25:41,790
1427
+ ูŠุญุตู„ ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ two genes ุนุดุงู† ู‡ูŠูƒ ุงู„ tumor
1428
+
1429
+ 358
1430
+ 00:25:41,790 --> 00:25:46,270
1431
+ suppressor mutations are mainly recessive in
1432
+
1433
+ 359
1434
+ 00:25:46,270 --> 00:25:50,970
1435
+ nature ูŠุจู‚ู‰ they are mainly recessive in nature
1436
+
1437
+ 360
1438
+ 00:25:50,970 --> 00:25:54,930
1439
+ because one intact allele is usually sufficient to
1440
+
1441
+ 361
1442
+ 00:25:54,930 --> 00:25:59,540
1443
+ inhibitูŠุจู‚ู‰ ู‡ู†ุง ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation ููŠ ุฌูŠู†
1444
+
1445
+ 362
1446
+ 00:25:59,540 --> 00:26:04,880
1447
+ ูˆุงุญุฏ ูู‚ุท ุชู…ุงู… ูˆุงู„ุฌูŠู† ุงู„ุขุฎุฑ ุณู„ูŠู… ุงู„ุฌูŠู† ุงู„ุขุฎุฑ ู…ู…ูƒู†
1448
+
1449
+ 363
1450
+ 00:26:04,880 --> 00:26:08,820
1451
+ ูŠู†ุชุฌ ุนู†ุฏู‰ ุจุฑูˆุชูŠู†ุงุช ูˆุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ูƒุงููŠุฉ ุงู†ู‡ุง ุชู‚ูˆู…
1452
+
1453
+ 364
1454
+ 00:26:08,820 --> 00:26:14,860
1455
+ ููŠ ุงู„ูˆุธูŠูุฉ ูˆุชุนู…ู„ suppression ู„ูˆุญุฏูˆุซ ุงู„ cancerุนุดุงู†
1456
+
1457
+ 365
1458
+ 00:26:14,860 --> 00:26:17,920
1459
+ ู‡ูŠู‚ูˆู„ู†ุง ุงู† ู‡ู‰ mainly recessive ูŠุนู†ูŠ ู„ุงุฒู… ูŠุตูŠุฑ ุนู†ุฏูŠ
1460
+
1461
+ 366
1462
+ 00:26:17,920 --> 00:26:23,160
1463
+ mutation ููŠ ุงู„ two alleles thus both alleles of
1464
+
1465
+ 367
1466
+ 00:26:23,160 --> 00:26:25,500
1467
+ the gene must be mutated before the loss of
1468
+
1469
+ 368
1470
+ 00:26:25,500 --> 00:26:29,900
1471
+ mutation is actually seen phenotypically ู„ุงุฒู… ูŠุตูŠุฑ
1472
+
1473
+ 369
1474
+ 00:26:29,900 --> 00:26:34,750
1475
+ ููŠู‡ ู…ุดูƒู„ุฉ ููŠ ุงู„ two allelesุงู„ูˆุซูŠู‚ุฉ ุงู„ุฃุฎูŠุฑุฉ ุชุดูŠุฑ
1476
+
1477
+ 370
1478
+ 00:26:34,750 --> 00:26:39,130
1479
+ ุฅู„ู‰ ุฃู† ู‡ู†ุงูƒ ู…ูŠูƒุงู†ูŠุฒู… ู…ุฎุชู„ู ู„ุดุฎุตูŠุฉ ุงู„ู‡ูŠูˆู…ุฑ ุณุงุจุฑูŠูƒุณ
1480
+
1481
+ 371
1482
+ 00:26:39,130 --> 00:26:43,150
1483
+ ู‡ุฑุฌูŠู†ุณ ูŠุณู…ู‰ Haploinsufficiency ูˆุทุจุนุงู‹ ุจุฑุถู‡ ู…ู†
1484
+
1485
+ 372
1486
+ 00:26:43,150 --> 00:26:48,190
1487
+ ุงู„ุฏุฑุงุณุงุช ุงู„ู„ูŠ ุชู…ุช ูˆุงู„ุชู„ุงู‚ู„ ุงู„ู„ูŠ ุงู„ุขู† ู…ูˆุฌูˆุฏุฉ ุฃู†ู‡
1488
+
1489
+ 373
1490
+ 00:26:48,190 --> 00:26:52,550
1491
+ ู…ู…ูƒู† ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ ููŠ ุงู„ tumor saprisargin
1492
+
1493
+ 374
1494
+ 00:26:52,550 --> 00:26:57,690
1495
+ mutation ููŠ one allele onlyู‡ุฐุง ู…ุนู†ุงุชู‡ ู…ู…ูƒู† ูŠุคุฏูŠ
1496
+
1497
+ 375
1498
+ 00:26:57,690 --> 00:27:01,810
1499
+ ุฃูŠุถู‹ุง ุฅู„ู‰ ุญุฏูˆุซ cancer ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ุง
1500
+
1501
+ 376
1502
+ 00:27:01,810 --> 00:27:05,690
1503
+ haploinsufficiency ุชู…ุงู…ุŸ ูˆ ุจุงู„ู€ haploinsufficiency
1504
+
1505
+ 377
1506
+ 00:27:05,690 --> 00:27:11,070
1507
+ one mutated allele can lead to the cancer
1508
+
1509
+ 378
1510
+ 00:27:11,070 --> 00:27:18,090
1511
+ phenotype ู„ูŠุดุŸ ู„ุฃู† ุนุดุงู† ุงู„ูˆุธูŠูุฉ ุนู†ุฏู†ุง ุชุชู… ู„ุงุฒู… ูƒู†ุง
1512
+
1513
+ 379
1514
+ 00:27:18,090 --> 00:27:24,790
1515
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุงูˆูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ู‡ุงุฏ ุจุชู†ุชุฌ
1516
+
1517
+ 380
1518
+ 00:27:24,790 --> 00:27:27,770
1519
+ ู…ู† ุงู„ both alleles ูŠุจู‚ู‰ ู„ุงุฒู… ุงู„ both alleles
1520
+
1521
+ 381
1522
+ 00:27:27,770 --> 00:27:31,670
1523
+ ูŠูƒูˆู†ูˆุง ูุนุงู„ูŠู† ู…ุงููŠุด ููŠู‡ู… mutations ุนุดุงู† ูŠู†ุชุฌูˆุง
1524
+
1525
+ 382
1526
+ 00:27:31,670 --> 00:27:35,630
1527
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ุงู„ุจุฑูˆุชูŠู† ูˆ ุงู„ุจุฑูˆุชูŠู† ู‡ุงุฏ ุชูƒูˆู† ูƒุงููŠุฉ
1528
+
1529
+ 383
1530
+ 00:27:35,630 --> 00:27:40,050
1531
+ ู„ุฃุฏุงุก ุงู„ function ุงู„ู„ูŠ ู‡ูŠ tumor suppression ุทุจ ู„ูˆ
1532
+
1533
+ 384
1534
+ 00:27:40,050 --> 00:27:44,470
1535
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutation ููŠ ุฌูŠู† ูˆุงุญุฏ ุชู…ุงู… ููŠ ู‚ู„ูŠู„
1536
+
1537
+ 385
1538
+ 00:27:44,470 --> 00:27:49,470
1539
+ ูˆุงุญุฏ ูŠุจู‚ู‰ ุงู„ุขู† ู‡ูŠุถู„ ุนู†ุฏู†ุง ูˆุงุญุฏ ุณู„ูŠู…ู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง
1540
+
1541
+ 386
1542
+ 00:27:49,470 --> 00:27:54,170
1543
+ ูˆุงุญุฏ ุฌูŠู† ุณู„ูŠู… ูˆู‡ูŠู†ุชุฌ ุงู„ุจุฑูˆุชูŠู† ู„ูƒู† ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง
1544
+
1545
+ 387
1546
+ 00:27:54,170 --> 00:27:58,810
1547
+ ูƒู…ูŠุชู‡ ุบูŠุฑ ูƒุงููŠุฉ ู„ุฅุญุฏุงุซ ุฃูˆ ู„ุฃุฏุงุก ุงู„ function
1548
+
1549
+ 388
1550
+ 00:27:58,810 --> 00:28:02,910
1551
+ ุงู„ู…ุทู„ูˆุจุฉ ู…ู†ู‡ ูˆู‡ูŠ ุงู„ tumor suppression ูˆู‡ุฐุง ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:28:02,910 --> 00:28:07,530
1555
+ ุจู†ุณู…ูŠ himploinsufficiency the term suggests one
1556
+
1557
+ 390
1558
+ 00:28:07,530 --> 00:28:12,110
1559
+ normal allele produces half of the quantity of
1560
+
1561
+ 391
1562
+ 00:28:12,110 --> 00:28:15,270
1563
+ protein product produced by normal cells and this
1564
+
1565
+ 392
1566
+ 00:28:15,270 --> 00:28:18,800
1567
+ is not enough to suppress tumor formationin these
1568
+
1569
+ 393
1570
+ 00:28:18,800 --> 00:28:24,220
1571
+ cases ู‡ุฐุง ุงู„ figure ูŠุนู†ูŠ ุจูˆุถุญ ุงู„ insufficiency
1572
+
1573
+ 394
1574
+ 00:28:24,220 --> 00:28:29,500
1575
+ ุชู…ุงู… ุฅุฐุง ูƒุงู† ุนู†ุฏู†ุง both alleles ุณุงู„ู…ูŠู† wild type
1576
+
1577
+ 395
1578
+ 00:28:29,500 --> 00:28:32,480
1579
+ ูŠุจู‚ู‰ ูƒู…ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ protein ุงู„ู„ูŠ ู‡ุชู†ุชุฌ ู‡ุชูƒูˆู†
1580
+
1581
+ 396
1582
+ 00:28:32,480 --> 00:28:37,320
1583
+ ูƒุงููŠุฉ ูˆ ู‡ูŠุนุทูŠู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ phenotype ู‡ุชูƒูˆู† wild
1584
+
1585
+ 397
1586
+ 00:28:37,320 --> 00:28:42,190
1587
+ type ุดุฎุต ุทุจูŠุนูŠ ู…ุงููŠุด ููŠู‡ ู…ุดูƒู„ุฉุทูŠุจ ู„ูˆ ูƒุงู† ููŠ ุนู†ุฏู†ุง
1588
+
1589
+ 398
1590
+ 00:28:42,190 --> 00:28:47,330
1591
+ ู†ู‚ุต ู„ .. ุงูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ .. ุงู„ two alleles ูŠุจู‚ู‰ ู‡ุฐุง
1592
+
1593
+ 399
1594
+ 00:28:47,330 --> 00:28:51,630
1595
+ ู‡ูŠุคุฏูŠ ุฅู„ู‰ mutant ุงู„ู„ูŠ ู‡ูˆ phenotype mutant ูŠุจู‚ู‰
1596
+
1597
+ 400
1598
+ 00:28:51,630 --> 00:28:54,830
1599
+ ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ูˆ ุทุจุนุง ุงุญู†ุง ุจู‡ุฐุง ุงู„ุญุงู„ุฉ ุจู†ุญูƒูŠ
1600
+
1601
+ 401
1602
+ 00:28:54,830 --> 00:28:59,750
1603
+ ุนู„ู‰ cancer ุฃูˆ ุงุฐุง ูƒุงู† .. ูƒุงู† ููŠ ุนู†ุฏูŠ ูู‚ุท one wild
1604
+
1605
+ 402
1606
+ 00:28:59,750 --> 00:29:04,040
1607
+ geneุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุงู„ dose ุฃูˆ ุงู„ู„ูŠ ูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ
1608
+
1609
+ 403
1610
+ 00:29:04,040 --> 00:29:08,600
1611
+ ู‡ุชู†ุชุฌ ู‡ุชูƒูˆู† inadequate ูˆ ุงู„ู†ุชูŠุฌุฉ ุจุฑุถู‡ ูˆุงุญุฏุฉ ู‡ูŠุคุฏูŠ
1612
+
1613
+ 404
1614
+ 00:29:08,600 --> 00:29:13,380
1615
+ ุฅู„ู‰ mutant phenotype ุทูŠุจ ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ููŠ ู‡ุฐู‡
1616
+
1617
+ 405
1618
+ 00:29:13,380 --> 00:29:16,780
1619
+ ุงู„ู…ุญุงุถุฑุฉ influential factors in human
1620
+
1621
+ 406
1622
+ 00:29:16,780 --> 00:29:20,340
1623
+ carcinogenesis ุงุญู†ุง ุดูˆูู†ุง ุงู†ู‡ ุงู„ genome ูˆ ุงู„
1624
+
1625
+ 407
1626
+ 00:29:20,340 --> 00:29:23,620
1627
+ mutations ุงู„ู„ูŠ ุจุชุณูŠุฑ ููŠ ุงู„ genome ุจุชู„ุนุจ ุฏูˆุฑ ุทุจุนุง
1628
+
1629
+ 408
1630
+ 00:29:23,620 --> 00:29:28,860
1631
+ ู…ู‡ู… ููŠุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ carcinogenesis ุทูŠุจ ุงู„ุขู† ููŠ
1632
+
1633
+ 409
1634
+ 00:29:28,860 --> 00:29:33,040
1635
+ ุนู†ุง ุงู„ู„ูŠ ู‡ูŠ factors ุฃุฎุฑู‰ ุงู„ factors ู‡ุฐู‡ ู…ู…ูƒู† ุชุฒูŠุฏ
1636
+
1637
+ 410
1638
+ 00:29:33,040 --> 00:29:39,300
1639
+ ุงู„ risk ู„ ุงู„ cancer ูˆ ู…ู† ู‡ุฐู‡ ุงู„ factors ุงู„ู„ูŠ ู‡ูŠ
1640
+
1641
+ 411
1642
+ 00:29:39,300 --> 00:29:42,760
1643
+ ุงู„ู…ุคุซุฑุฉ ููŠ ุนู†ุง ุงู„ environment ุงู„ reproductive life
1644
+
1645
+ 412
1646
+ 00:29:42,760 --> 00:29:46,660
1647
+ ุงู„ diet smoking ู‡ุฏูˆู„ four factors that play an
1648
+
1649
+ 413
1650
+ 00:29:46,660 --> 00:29:52,220
1651
+ important role in carcinogenesis ูˆ ู‡ุฏูˆู„ ุงู„ factors
1652
+
1653
+ 414
1654
+ 00:29:52,220 --> 00:29:58,480
1655
+ ูุนู„ูŠุง they can be alteredูŠู…ูƒู† ูุนู„ูŠู‹ุง ุชู… ุชุบูŠูŠุฑู‡ู…
1656
+
1657
+ 415
1658
+ 00:29:58,480 --> 00:30:03,020
1659
+ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ู†ู‚ู„ู„ ุงู„ู„ูŠ ู‡ูˆ ุฃูˆ ู†ู‚ู„ู„ ุงู„ risk ู„ู„ุฅุตุงุจุฉ
1660
+
1661
+ 416
1662
+ 00:30:03,020 --> 00:30:07,500
1663
+ ุจุงู„cancer exposure to carcinogens ู…ู† ุฎู„ุงู„ ุงู„ู„ูŠ ู‡ูˆ
1664
+
1665
+ 417
1666
+ 00:30:07,500 --> 00:30:10,860
1667
+ ุงู„ environment hormonal modifications influenced
1668
+
1669
+ 418
1670
+ 00:30:10,860 --> 00:30:14,680
1671
+ by childbirth and birth control exposure to
1672
+
1673
+ 419
1674
+ 00:30:14,680 --> 00:30:19,840
1675
+ viruses underlie these lifestyle factors ุทูŠุจ
1676
+
1677
+ 420
1678
+ 00:30:19,840 --> 00:30:25,720
1679
+ ุงู„ู…ุคุซุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ environmentุชุฌุงุฑุจ ุจุฑูŠุทุงู†ูŠุฉ
1680
+
1681
+ 421
1682
+ 00:30:25,720 --> 00:30:30,260
1683
+ ุจุฑูŠุทุงู†ูŠุฉ ููŠ ุนุงู… 1775 ุชู†ุชู‡ูŠ ููŠ ุฃูˆู„ ุงุชุตุงู„ ุจูŠู† ู…ุฌู„ุฏ
1684
+
1685
+ 422
1686
+ 00:30:30,260 --> 00:30:33,640
1687
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1688
+
1689
+ 423
1690
+ 00:30:33,640 --> 00:30:34,360
1691
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1692
+
1693
+ 424
1694
+ 00:30:34,360 --> 00:30:37,300
1695
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1696
+
1697
+ 425
1698
+ 00:30:37,300 --> 00:30:37,760
1699
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1700
+
1701
+ 426
1702
+ 00:30:37,760 --> 00:30:38,520
1703
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1704
+
1705
+ 427
1706
+ 00:30:38,520 --> 00:30:46,500
1707
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1708
+
1709
+ 428
1710
+ 00:30:46,500 --> 00:30:53,060
1711
+ ู…
1712
+
1713
+ 429
1714
+ 00:30:53,870 --> 00:30:57,410
1715
+ ูŠุจู‚ู‰ ู„ุฌุฃ ุฃู†ู‡ ุงู„ู†ุงุณ ุฃูˆ ุงู„ุนู…ุงู„ ุงู„ู„ูŠ ุจูŠุดุชุบู„ูˆุง ููŠ
1716
+
1717
+ 430
1718
+ 00:30:57,410 --> 00:31:02,190
1719
+ ุชู†ุธูŠู ู…ุฏุงุฎู† ุฏูุงูŠุงุช ู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุดุชุบู„ ุนู„ู‰ ุงู„ุญุทุจ ูˆููŠู‡ุง
1720
+
1721
+ 431
1722
+ 00:31:02,190 --> 00:31:06,370
1723
+ ุงู„ู„ูŠ ุจุชูƒูˆู† ุงู„ู…ุฏุฎู†ุฉ ุงู‡ ูููŠ ุนู…ุงู„ ุงู„ู„ูŠ ุจู†ุทููˆ ุงู„ู…ุฏุงุฎู†
1724
+
1725
+ 432
1726
+ 00:31:06,370 --> 00:31:11,310
1727
+ ู…ู† ุงู„ู‡ุจุงุจ ุงู„ู„ูŠ ู‡ุฐุง ุจุชุฑุงูƒู… ูˆ ุงู„ู„ูŠ ุจุชุฌู…ุน ุฎู„ุงู„ ุงู„ู„ูŠ
1728
+
1729
+ 433
1730
+ 00:31:11,310 --> 00:31:16,590
1731
+ ู‡ูˆ ุทุจุนุง ุงู„ุญุฑู‚ ู„ุฃุฎุดุงุจ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ูŠุจู‚ู‰ ู„ุฌุฃ ุฃู†ู‡ ู‡ุฏูˆู„
1732
+
1733
+ 434
1734
+ 00:31:16,590 --> 00:31:20,610
1735
+ ุงู„ุนู…ุงู„ ููŠ ุนู†ุฏู‡ู… high incidence of nasal cancer ูˆ
1736
+
1737
+ 435
1738
+ 00:31:20,610 --> 00:31:25,830
1739
+ ู‡ุฐุง ูƒุงู† ุฃูˆู„ ุฑุงุจุท ุจูŠู† ุงู„ environmentูˆุจูŠู† ุญุฏูˆุซ ุงู„ู€
1740
+
1741
+ 436
1742
+ 00:31:25,830 --> 00:31:30,670
1743
+ cancer a unprotected exposure to sun exposes the
1744
+
1745
+ 437
1746
+ 00:31:30,670 --> 00:31:35,850
1747
+ skin to UVB radiation which can directly alter the
1748
+
1749
+ 438
1750
+ 00:31:35,850 --> 00:31:39,310
1751
+ DNA by forming pyrimidine dimers and cause
1752
+
1753
+ 439
1754
+ 00:31:39,310 --> 00:31:43,290
1755
+ imitations ูˆู‡ุฐุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุจุชูุตูŠู„ ููŠ ุงู„ู…ุญุงุถุฑุงุช
1756
+
1757
+ 440
1758
+ 00:31:43,290 --> 00:31:46,970
1759
+ ุงู„ู‚ุงุฏู…ุฉ ุฃูŠุถุง ุงู† reproductive life another ill
1760
+
1761
+ 441
1762
+ 00:31:46,970 --> 00:31:50,730
1763
+ observation was that nuns are more likely to
1764
+
1765
+ 442
1766
+ 00:31:50,730 --> 00:31:54,150
1767
+ develop breast cancer than other womenู„ุงุญุธูˆุง
1768
+
1769
+ 443
1770
+ 00:31:54,150 --> 00:31:58,910
1771
+ ุจุฑุงู‡ุจุงุช ุงู„ู„ูŠ ุจูŠุชุฒูˆุฌูˆุด ู„ุงุฌูˆุง ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู‡ู…
1772
+
1773
+ 444
1774
+ 00:31:58,910 --> 00:32:03,870
1775
+ cancer ุทุจุนุง ูŠุนู†ูŠ ุจู†ุณุจุฉ ุฃุนู„ู‰ ู…ู† ุงู„ู†ุณุงุก ุงู„ู…ุชุฒูˆุฌุงุช
1776
+
1777
+ 445
1778
+ 00:32:03,870 --> 00:32:10,210
1779
+ ูˆุงู„ุฃู† ุตุงุฑ ููŠู‡ ุทุจุนุง ุงู†ู‡ ูŠุนู†ูŠ ุฏู„ูŠู„ ู„ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ we
1780
+
1781
+ 446
1782
+ 00:32:10,210 --> 00:32:12,870
1783
+ now know that having children reduces breast
1784
+
1785
+ 447
1786
+ 00:32:12,870 --> 00:32:16,150
1787
+ cancer risk for women compared with not having
1788
+
1789
+ 448
1790
+ 00:32:16,150 --> 00:32:20,860
1791
+ childrenุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ูˆู‚ุช ุงู„ุญูŠูˆุงู†ุงุช ู„ู„ู…ุฑุฉ
1792
+
1793
+ 449
1794
+ 00:32:20,860 --> 00:32:24,740
1795
+ ุงู„ุฃูˆู„ู‰ ูˆุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ุงู„ุงู†ุชุดุงุฑ ูˆุงู„ุงู†ุชู‡ุงุก ู…ู†
1796
+
1797
+ 450
1798
+ 00:32:24,740 --> 00:32:28,180
1799
+ ุณู„ุณู„ุงุชู‡ุง ุงู„ู‡ูŠุฑู…ูˆู†ูŠุณุชุฑุงู„ูŠุฉ ุฃูŠุถู‹ุง ุชุฃุซูŠุฑ ุนู„ู‰ ุญุฑุงุฑุฉ
1800
+
1801
+ 451
1802
+ 00:32:28,180 --> 00:32:33,420
1803
+ ุงู„ุญุฑุงุฑุฉูŠุจู‚ู‰ ูƒู…ุงู† ุงู„ู„ูŠ ู‡ูˆ ุนู…ุฑ ุงู„ู…ุฑุฃุฉ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡
1804
+
1805
+ 452
1806
+ 00:32:33,420 --> 00:32:37,820
1807
+ ุฅู†ู‡ ุฃูˆู„ ุญู…ู„ ูˆ ุฃูŠุถู‹ุง ุจุฑุถู‡ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡ ุฅู†ู‡ ูŠุนู†ูŠ
1808
+
1809
+ 453
1810
+ 00:32:37,820 --> 00:32:44,840
1811
+ ุงู†ู‚ุทุงุน ู„ู„ุฏูˆุฑุฉ ูˆ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ุงู„ู„ูŠ ุงุชุนุฑุถุช ููŠู‡ู…
1812
+
1813
+ 454
1814
+ 00:32:44,840 --> 00:32:49,200
1815
+ ุงู„ู…ุฑุฃุฉ ู„ู„ู‡ุฑู…ูˆู†ุงุช ู‡ุฏูˆู„ ุจุฑุถู‡ ุทุจุนู‹ุง ุจูŠู„ุนุจูˆุง ุฏูˆุฑ ููŠ
1816
+
1817
+ 455
1818
+ 00:32:49,200 --> 00:32:53,500
1819
+ ู…ูˆุถูˆุน ุงู„ cancer ูˆุญุฏูˆุซ ุงู„ cancer ูŠุจู‚ู‰ ูƒูŠู ู‡ุฐู‡
1820
+
1821
+ 456
1822
+ 00:32:53,500 --> 00:32:58,300
1823
+ ู„ุงุญุธูˆู‡ุงfeel stomach cancer is a predominant cancer
1824
+
1825
+ 457
1826
+ 00:32:58,300 --> 00:33:01,900
1827
+ in the Japanese population ู†ุณุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ stomach
1828
+
1829
+ 458
1830
+ 00:33:01,900 --> 00:33:08,480
1831
+ cancer ููŠ ุงู„ูŠุงุจุงู† ุนุงู„ูŠุฉูˆ ุทุจุนุง ู‡ุฐู‡ ู…ุฑุชุจุทุฉ ููŠ ุงู„ุนุฏุงุช
1832
+
1833
+ 459
1834
+ 00:33:08,480 --> 00:33:14,020
1835
+ ุงู„ุบุฐุงุฆูŠุฉ ู„ู„ูŠุงุจุงู†ูŠูŠู† ูŠุจู‚ู‰ ุงู„ stomach cancer ููŠ ุงู„
1836
+
1837
+ 460
1838
+ 00:33:14,020 --> 00:33:17,240
1839
+ Japanese population ุนุงู„ูŠุฉ ูˆ minor cancer in the
1840
+
1841
+ 461
1842
+ 00:33:17,240 --> 00:33:21,700
1843
+ population of USA ู„ูƒู† ููŠ ุฃู…ุฑูŠูƒุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุนุฏุงุฏ
1844
+
1845
+ 462
1846
+ 00:33:21,700 --> 00:33:25,500
1847
+ ู‚ู„ูŠู„ุฉ ู„ู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠูˆุตุจูˆุง ุจุงู„ stomach cancer ุงู„ุขู†
1848
+
1849
+ 463
1850
+ 00:33:25,500 --> 00:33:28,100
1851
+ ูƒูŠู .. ูƒูŠู ุฑุงุจุทูˆุง ุงู„ู„ูŠ ู‡ูˆ ู…ูˆุถูˆุน ุงู„ diet ุจูŠู‡ ุงู„ู„ูŠ
1852
+
1853
+ 464
1854
+ 00:33:28,100 --> 00:33:31,020
1855
+ ู‡ูˆ ุงู„ .. ุงู„ cancer ู…ู† ุฎู„ุงู„ ุทุจุนุง ุงู„ .. ุงู„ู†ุงุณ ุงู„ู„ูŠ
1856
+
1857
+ 465
1858
+ 00:33:31,020 --> 00:33:34,550
1859
+ ุจุชู‡ุงุฌุฑู„ู‚ูˆุง ุฅู†ู‡ ุงู„ู€ risk of stomach cancer in
1860
+
1861
+ 466
1862
+ 00:33:34,550 --> 00:33:37,110
1863
+ Japanese people who have migrated to the USA
1864
+
1865
+ 467
1866
+ 00:33:37,110 --> 00:33:42,370
1867
+ decreases only if they adopt American diet but not
1868
+
1869
+ 468
1870
+ 00:33:42,370 --> 00:33:46,550
1871
+ if they retain a Japanese diet ูŠุจู‚ู‰ ุงู„ูŠุงุจุงู†ูŠูŠู†
1872
+
1873
+ 469
1874
+ 00:33:46,550 --> 00:33:52,400
1875
+ ุงู„ู„ูŠ ู‡ุงุฌุฑูˆุง ู„ุฃู…ุฑูŠูƒุง ูˆุถู„ู‡ู… ู…ู„ุชุฒู…ูŠู† ุจุนุฏุงุชู‡ู… ุงู„ุบุฐุงุฆูŠุฉ
1876
+
1877
+ 470
1878
+ 00:33:52,400 --> 00:33:58,460
1879
+ ูˆุจุฃู†ูˆุงุน ุงู„ุทุนุงู… ุงู„ู„ูŠ ุจูŠุชู†ุงูˆู„ูˆู‡ุง ู‡ุฏูˆู„ ุถู„ุช ุนู†ุฏู‡ู… ู†ุณุจุฉ
1880
+
1881
+ 471
1882
+ 00:33:58,460 --> 00:34:03,560
1883
+ ุงู„ุฅุตุงุจุฉ ุจุงู„ stomach cancer ุจุฑุถู‡ ู…ุฑุชูุนุฉ ู„ูƒู†
1884
+
1885
+ 472
1886
+ 00:34:03,560 --> 00:34:09,040
1887
+ ุงู„ูŠุงุจุงู†ูŠูŠู† ุงู„ู„ูŠ ุบูŠุฑูˆุง ุนุฏุงุฏ ุฃูƒู„ู‡ู… ูˆุตุงุฑุช ุนุฏุงุฏ ุฃูƒู„ู‡ู…
1888
+
1889
+ 473
1890
+ 00:34:09,420 --> 00:34:13,420
1891
+ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนุฏุงุฏ ุงู„ุฃูƒู„ ุงู„ุฃู…ุฑูŠูƒูŠูŠู† ู‡ุฏูˆู„ ู„ุฌูˆุง ุฅู†ู‡
1892
+
1893
+ 474
1894
+ 00:34:13,420 --> 00:34:18,420
1895
+ ุงู†ุฎูุถุช ุนู†ุฏู‡ู… ุงู„ู„ูŠ ู‡ูˆ ู…ุนุฏู„ ุงู„ุฅุตุงุจุฉ ุจุงู„ู€ Stomach
1896
+
1897
+ 475
1898
+ 00:34:18,420 --> 00:34:23,840
1899
+ Cancer ุจู‡ุฐุง ุฏู„ูŠู„ ุจูŠุฑุจุท ุจูŠู† ุงู„ diet ูˆ ุงู„ุนุฏุงุฏ ุงู„ู„ูŠ
1900
+
1901
+ 476
1902
+ 00:34:23,840 --> 00:34:27,960
1903
+ ู‡ูˆ ุงู„ุบุฐุงุฆูŠุฉ ุนู†ุฏ ุงู„ุดุนูˆุจ ุฃูŠุถู‹ุง ูˆ ุงู„ุฅุตุงุจุฉ ุจุงู„ู€ Cancer
1904
+
1905
+ 477
1906
+ 00:34:27,960 --> 00:34:32,150
1907
+ ุฃูŠุถู‹ุง ู…ู† ุงู„ุนูˆุงู…ู„ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ alcoholูƒุงู†
1908
+
1909
+ 478
1910
+ 00:34:32,150 --> 00:34:36,470
1911
+ ุชุณู…ู‰ ูƒุฌู†ุฉ ูƒุงุฑุณูŠู†ูŠุฉ ู…ู† ู…ุฌู„ุณ ุงู„ุฏูˆู„ุฉ ู„ู„ุจุญุซ ุนู† ุงู„ู‚ู†ุตุฑ
1912
+
1913
+ 479
1914
+ 00:34:36,470 --> 00:34:41,770
1915
+ ููŠ 2007 ูˆ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ู…ุฏู…ู†ูŠู† ูƒุญูˆู„ ูˆ ุจูŠู†ุงูˆู„ูˆุง ูƒุญูˆู„
1916
+
1917
+ 480
1918
+ 00:34:41,770 --> 00:34:46,470
1919
+ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ููŠ ุงู†ู‡ .. ูŠุนู†ูŠ ุตุงุฑ ููŠ ุฃุฏู„ุฉ ู…ูˆุฌูˆุฏุฉ ุงู†ู‡
1920
+
1921
+ 481
1922
+ 00:34:46,470 --> 00:34:49,970
1923
+ ู…ู…ูƒู† ูŠุตุงุจูˆุง ุจุฃูƒุชุฑ ู…ู† ู†ูˆุน ู…ู† ุฃู†ูˆุงุน ุงู„ cancer ุงู„ู„ูŠ
1924
+
1925
+ 482
1926
+ 00:34:49,970 --> 00:34:54,110
1927
+ ู…ู†ู‡ุง ุงู„ mouth, esophagus, breast ูˆ ุฃูŠุถุง ู…ู…ูƒู† liver
1928
+
1929
+ 483
1930
+ 00:34:54,110 --> 00:34:57,850
1931
+ cancer chronic alcohol drinking accounts for three
1932
+
1933
+ 484
1934
+ 00:34:57,850 --> 00:35:03,100
1935
+ eight nine thousand cases of cancer worldwideูˆุงู„ู„ูŠ
1936
+
1937
+ 485
1938
+ 00:35:03,100 --> 00:35:09,340
1939
+ ุจูŠุดุฑุจ ูƒุญูˆู„ ูˆุจูŠุฏุฎู† ูƒู…ุงู† ู‡ุฐุง ุจูŠุนุชุจุฑ ุจูŠุนู…ู„ synergism
1940
+
1941
+ 486
1942
+ 00:35:09,340 --> 00:35:12,640
1943
+ ูŠุนู†ูŠ ุงู„ alcohol ู…ุน ุงู„ smoking ุจูŠุนู…ู„ synergism ุจุงู„
1944
+
1945
+ 487
1946
+ 00:35:12,640 --> 00:35:17,160
1947
+ effect ุฃู‡ ูŠุนู†ูŠ ุจูŠุฒูŠุฏ ุงู„ effect ูŠุนู†ูŠ ูˆุงุญุฏ ุฒูŠ ูˆุงุญุฏ
1948
+
1949
+ 488
1950
+ 00:35:17,160 --> 00:35:20,440
1951
+ ุจูŠุณุงูˆูŠ ุงุชู†ูŠู† ู‡ุฐุง additive effect ูˆุงุญุฏ ุฒูŠ ูˆุงุญุฏ
1952
+
1953
+ 489
1954
+ 00:35:20,440 --> 00:35:23,940
1955
+ ุจูŠุณุงูˆูŠ ุชู„ุงุชุฉ ู‡ุฐุง synergistic effect ุชู…ุงู…ุŸ they
1956
+
1957
+ 490
1958
+ 00:35:23,940 --> 00:35:27,900
1959
+ have synergistic effect meaning that the risk of
1960
+
1961
+ 491
1962
+ 00:35:27,900 --> 00:35:35,410
1963
+ cancer ุทุจุนุง is increasedูˆ ุขุฎุฑ ุฅุดูŠ ู„ smoking ุจุฑุถู‡
1964
+
1965
+ 492
1966
+ 00:35:35,410 --> 00:35:40,710
1967
+ ู…ู† ุนุงู… 1985 lung cancer has remained the main
1968
+
1969
+ 493
1970
+ 00:35:40,710 --> 00:35:44,410
1971
+ cancer worldwide ูˆ ุฒูŠ ู…ุง ุดูˆูู†ุง ููŠ ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ
1972
+
1973
+ 494
1974
+ 00:35:44,410 --> 00:35:47,810
1975
+ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุจุฏุงูŠุฉ ุงู„ lung cancer ูุนู„ูŠุง ู‡ูˆ
1976
+
1977
+ 495
1978
+ 00:35:47,810 --> 00:35:52,530
1979
+ ุงู„ุฃูˆู„ูˆุงู„ุงู† ุทุจุนุง ุจุฑุถู‡ ุฑุจุทูˆุง ู…ูˆุถูˆุน ุงู„ู„ู‰ ู‡ูˆ ุงู„
1980
+
1981
+ 496
1982
+ 00:35:52,530 --> 00:35:57,470
1983
+ smoking ุจู‰ ุงู„ู„ู‰ ู‡ูˆ ุญุฏูˆุซ cancer ุงู‡ ูŠุนู†ูŠ ุจุทู„ ูŠู‚ูˆู„ูˆุง
1984
+
1985
+ 497
1986
+ 00:35:57,470 --> 00:36:01,890
1987
+ ุงู†ู‡ ุงู„ุฏุฎุงู† ู…ู…ูƒู† ุงู† ูŠุณุจุจ cancer ู„ุฃ ุตุงุฑ ู„ุงู† ูŠู‚ูˆู„ูˆุง
1988
+
1989
+ 498
1990
+ 00:36:01,890 --> 00:36:06,430
1991
+ ุงู„ุฏุฎุงู† ูŠุณุจุจ ุงู„ cancer smoking accounts for 40
1992
+
1993
+ 499
1994
+ 00:36:06,430 --> 00:36:09,950
1995
+ percent of all cancer deaths one point one eight
1996
+
1997
+ 500
1998
+ 00:36:09,950 --> 00:36:16,150
1999
+ million deaths yearlyุงู„ู€ 81 ูƒุงุฑุณูŠู†ูˆุฌูŠู† ุชู… ุงูƒุชุดุงูู‡
2000
+
2001
+ 501
2002
+ 00:36:16,150 --> 00:36:19,150
2003
+ ููŠ ุงู„ู‡ูˆุงุก ุงู„ุณูŠุฌุงุฑูŠุŒ ูˆู…ู† ุงู„ุงุถุญู‰ ุจุฃู† ุจุนุถ ุงู„ุฃู…ูˆุฑ
2004
+
2005
+ 502
2006
+ 00:36:19,150 --> 00:36:23,830
2007
+ ุงู„ู‚ุงุฏู…ุฉูŠู…ูƒู† ุฃู† ูŠุชู… ุฅูŠู‚ุงูู‡ ุจุชุบูŠูŠุฑุงุช ููŠ ู…ุตุงุฏุฑ ุงู„ุญูŠุงุฉ
2008
+
2009
+ 503
2010
+ 00:36:23,830 --> 00:36:28,470
2011
+ ุงู„ู…ุฎุชู„ูุฉ
2012
+
2013
+ 504
2014
+ 00:36:51,640 --> 00:36:56,140
2015
+ ุงู„ุฃูˆู„ู‰ ูˆูŠุนุทูŠูƒูˆุง ุงู„ู ุนุงููŠุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
2016
+
2017
+ 505
2018
+ 00:36:56,140 --> 00:36:57,220
2019
+ ูˆุจุฑูƒุงุชู‡
2020
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/915SFjSUTBI_raw.json ADDED
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PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/915SFjSUTBI_raw.srt ADDED
@@ -0,0 +1,2020 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,940 --> 00:00:06,120
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ cancer is a disease of the genome
4
+
5
+ 2
6
+ 00:00:06,120 --> 00:00:12,140
7
+ at the cellular level ูŠุจู‚ู‰ ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„
8
+
9
+ 3
10
+ 00:00:12,140 --> 00:00:16,940
11
+ cancer ู‡ูˆ ุงู„ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ุจุชุตูŠุฑ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ genome
12
+
13
+ 4
14
+ 00:00:16,940 --> 00:00:21,400
15
+ ูˆุฒูŠ ู…ุง ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู†ู‡ ููŠ ุงู†ู‚ู„ ุนุฏูŠุฏ ู…ู† ุงู„ agents
16
+
17
+ 5
18
+ 00:00:21,400 --> 00:00:26,080
19
+ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ูˆ ู‡ุฐู‡ ุงู„ agents
20
+
21
+ 6
22
+ 00:00:26,540 --> 00:00:31,540
23
+ ุจู†ุณู…ูŠู‡ุง carcinogens ูˆุนู†ุง ุงู„ .. ุงู„ carcinogens ู‡ุง
24
+
25
+ 7
26
+ 00:00:31,540 --> 00:00:38,320
27
+ ุฏูŠ most of carcinogens can cause alteration to the
28
+
29
+ 8
30
+ 00:00:38,320 --> 00:00:42,380
31
+ DNA sequence ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ู…ุง ูŠุณู…ู‰ ุจูŠ ุงู„ mutations
32
+
33
+ 9
34
+ 00:00:42,380 --> 00:00:48,180
35
+ ูˆุจุงู„ุชุงู„ูŠ ุงู„ carcinogen ู…ู…ูƒู† ูŠูƒูˆู† a mutagen ู„ุฃู†ู‡
36
+
37
+ 10
38
+ 00:00:48,180 --> 00:00:54,140
39
+ ู…ู…ูƒู† ูŠุนู…ู„ู‰ a mutation ููŠ ุงู„ DNA sequence ู„ูƒู† ู‡ุง ู…ุง
40
+
41
+ 11
42
+ 00:00:54,140 --> 00:01:01,290
43
+ ุญูƒูŠู†ุงุด ุฃู†ู‡ allcarcinogens are immunogens ู‚ู„ู†ุง ุฅู†ู‡
44
+
45
+ 12
46
+ 00:01:01,290 --> 00:01:06,410
47
+ most carcinogens are immunogens ู„ุฃู†ู‡ ูุนู„ูŠุง ููŠ ุฃู†
48
+
49
+ 13
50
+ 00:01:06,410 --> 00:01:12,670
51
+ ุจุนุถ ุงู„ agents ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุคุฏูˆุง ุฅู„ู‰ ุญุฏูˆุซ cancer ู„ูƒู†
52
+
53
+ 14
54
+ 00:01:12,670 --> 00:01:17,430
55
+ ุจุฏูˆู† ู…ุง ูŠุนู…ู„ูˆุง mutations ุฃูˆ alteration ู„ ุงู„ DNA
56
+
57
+ 15
58
+ 00:01:17,430 --> 00:01:23,070
59
+ sequence ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ููŠ ุฃู†ุจุนุถ ู…ู…ูƒู† ุงู„ viruses
60
+
61
+ 16
62
+ 00:01:23,070 --> 00:01:29,550
63
+ ุงู„ู„ูŠ ุจูŠู†ุชุฌ proteins ูˆ ุงู„ proteins ู‡ุฐู‡ ู…ู…ูƒู† ู‡ูŠ ุงู„ู„ูŠ
64
+
65
+ 17
66
+ 00:01:29,550 --> 00:01:35,970
67
+ ุชุคุฏูŠ ุฅู„ู‰ ู…ู†ุน expression ู„ gene ู…ุนูŠู† ู…ู…ูƒู† ุจุงุฑุชุจุงุทู‡ุง
68
+
69
+ 18
70
+ 00:01:35,970 --> 00:01:39,970
71
+ ุฃูˆ ุจุนู…ู„ deactivation ู„ู„ transcription factor ุนู„ู‰
72
+
73
+ 19
74
+ 00:01:39,970 --> 00:01:45,850
75
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุฃูŠุถุงุงู„ู€ Carcinogen ุจุฑุถู‡ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰
76
+
77
+ 20
78
+ 00:01:45,850 --> 00:01:51,970
79
+ ุงู„ู€ Epigenetics ุฅู„ู‰ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Methylation ู…ุซู„ุง
80
+
81
+ 21
82
+ 00:01:51,970 --> 00:01:57,240
83
+ ู„ุฌูŠู†ู‡ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„ silencingู„ู‡ุฐุง ุงู„ุฌูŠู†ุŒ ู…ู…ูƒู†
84
+
85
+ 22
86
+ 00:01:57,240 --> 00:02:01,860
87
+ ุฃูŠุถู‹ุง ุจุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง degradation ู„ู€
88
+
89
+ 23
90
+ 00:02:01,860 --> 00:02:05,080
91
+ messenger RNA ูˆุจุงู„ุชุงู„ูŠ ูŠู…ู†ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ expression
92
+
93
+ 24
94
+ 00:02:05,080 --> 00:02:09,620
95
+ ู„ุฌูŠู† ู…ุนูŠู† ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูˆ degradation ู„ู€ messenger
96
+
97
+ 25
98
+ 00:02:09,620 --> 00:02:13,960
99
+ RNA ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ูŠุชูƒูˆู† ุนู†ุฏู†ุง protein ู…ุนูŠู†ุŒ ุงู„
100
+
101
+ 26
102
+ 00:02:13,960 --> 00:02:17,420
103
+ protein ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† tumor suppressor protein ุนู„ู‰
104
+
105
+ 27
106
+ 00:02:17,420 --> 00:02:20,980
107
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ุชู…ุงู…ุŸ ุนุดุงู† ู‡ูŠูƒ ุญูƒูŠู†ุง ุงู† most
108
+
109
+ 28
110
+ 00:02:20,980 --> 00:02:27,120
111
+ carcinogens are mutagens ูˆู…ุด all carcinogens are
112
+
113
+ 29
114
+ 00:02:27,120 --> 00:02:33,160
115
+ mutagens ุทุจุนุง ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ุงู„ุนุฏูŠุฏุฉ ุงู„ู„ูŠ ุชู…ุช ุตุงุฑ
116
+
117
+ 30
118
+ 00:02:33,160 --> 00:02:38,220
119
+ ููŠู†ุง evidence ุฏู„ูŠู„ indicates that the DNA of tumor
120
+
121
+ 31
122
+ 00:02:38,220 --> 00:02:42,980
123
+ cells contain many alterations ranging from
124
+
125
+ 32
126
+ 00:02:42,980 --> 00:02:47,540
127
+ precise point mutations to large chromosomal
128
+
129
+ 33
130
+ 00:02:47,540 --> 00:02:52,360
131
+ aberrationsุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ู…ู…ูƒู† deletions ุฃูˆ ู…ู…ูƒู† ุงู„
132
+
133
+ 34
134
+ 00:02:52,360 --> 00:02:56,520
135
+ chromosomal translocations ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุนุฏูŠุฏ
136
+
137
+ 35
138
+ 00:02:56,520 --> 00:02:59,780
139
+ ู…ู† ุงู„ cancers the accumulation of mutations in
140
+
141
+ 36
142
+ 00:02:59,780 --> 00:03:02,960
143
+ cells over time represents a multistep process
144
+
145
+ 37
146
+ 00:03:02,960 --> 00:03:06,880
147
+ that underlies carcinogenesis ูˆ ุนุงุฏุฉ ุงู„ุฃู…ุฑ ุจูŠุตูŠุฑ
148
+
149
+ 38
150
+ 00:03:06,880 --> 00:03:12,020
151
+ ุฃู†ู‡ ู…ู† ุงู„ accumulation of mutations ูŠุจู‚ู‰ ู…ู…ูƒู† ู…ุด
152
+
153
+ 39
154
+ 00:03:12,020 --> 00:03:17,320
155
+ ู…ู† ุงู„ mutation ุฃูˆ ู…ุด ู…ู† ุฃูˆู„ mutation ู…ู…ูƒู†ุชุชุญูˆู„
156
+
157
+ 40
158
+ 00:03:17,320 --> 00:03:21,940
159
+ ุงู„ุฎู„ูŠุฉ ุงู„ู‰ cancerous cell ูŠุจู‚ู‰ ู…ู…ูƒู† ุชุญุชุงุฌ ุงู„ู‰ ุงูƒุชุฑ
160
+
161
+ 41
162
+ 00:03:21,940 --> 00:03:28,540
163
+ ู…ู† mutation ุงูˆ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ tumor ุชู…ุงู… ูˆ ุจุนุฏ
164
+
165
+ 42
166
+ 00:03:28,540 --> 00:03:31,660
167
+ ู‡ูŠูƒ ูŠุชุญูˆู„ ู…ุซู„ุง ุจุฑุถู‡ ุจุณุจุจ ุงู„ accumulation of
168
+
169
+ 43
170
+ 00:03:31,660 --> 00:03:34,740
171
+ mutations ูŠุชุญูˆู„ ุงู„ู‰ malignant tumor ุชู…ุงู… ุจุณุจุจ
172
+
173
+ 44
174
+ 00:03:34,740 --> 00:03:38,860
175
+ accumulation of mutations ูˆ ู‡ุฐุง ุงู„ุณุจุจ ุงู‡ ู„ู…ุง ุญูƒูŠู†ุง
176
+
177
+ 45
178
+ 00:03:38,860 --> 00:03:44,860
179
+ ุนู„ู‰ ุงู„ุงุนู…ุงุฑ ูˆ ูˆูŠู† ุจุชุฑูƒุฒ ุงู†ู‡ ุงูƒุจุฑุนุฏุฏ ููŠ ุฃูŠ ูุฆุฉ
180
+
181
+ 46
182
+ 00:03:44,860 --> 00:03:47,440
183
+ ุนู…ุฑูŠุฉ ุฃูƒุจุฑ ุนุฏุฏ ู…ู† ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ุจุชูˆุตุจ ุจุงู„ .. ุจุงู„
184
+
185
+ 47
186
+ 00:03:47,440 --> 00:03:52,060
187
+ cancer ูƒุงู† ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŒ ู„ูŠุด ููŠ ูƒุจุงุฑ ุงู„ุณู†ุŸ ู„ุฃู†ู‡ ุงู„
188
+
189
+ 48
190
+ 00:03:52,060 --> 00:03:55,040
191
+ cancer ูุนู„ูŠุง ุจูŠู†ุชุฌ ุนู† accumulation of mutations
192
+
193
+ 49
194
+ 00:03:55,040 --> 00:04:00,030
195
+ ูˆูƒู„ ู…ุง ูƒุจุฑ ุงู„ุฅู†ุณุงู† ุจูŠุฆูŠ ุงู„ุนู…ุฑุŒ ู…ุนู†ุงุชู‡ ุนุฑุถุฉ ุฃูƒุชุฑุงู„ู€
196
+
197
+ 50
198
+ 00:04:00,030 --> 00:04:03,930
199
+ DNA ุฅู†ู‡ ูŠุตูŠุฑ ููŠู‡ more mutations ูˆุจุงู„ุชุงู„ูŠ ุฅู†ู‡
200
+
201
+ 51
202
+ 00:04:03,930 --> 00:04:09,110
203
+ ุงู„ุฎู„ูŠุฉ ุชุชุญูˆู„ ุฅู„ู‰ cancerous cell ูˆู‡ุฐุง ุงู„ figure
204
+
205
+ 52
206
+ 00:04:09,110 --> 00:04:12,690
207
+ ุจูŠูˆุถุญ ุงู„ู„ูŠ ู‡ูˆ ุงู„ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูˆ accumulation of
208
+
209
+ 53
210
+ 00:04:12,690 --> 00:04:16,690
211
+ mutations ููŠ ุนู†ุฏู†ุง normal cell ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ูŠุตูŠุฑ
212
+
213
+ 54
214
+ 00:04:16,690 --> 00:04:22,190
215
+ ุนู†ุฏู†ุง ุงู„ first mutationููŠ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆ ุจุนุฏูŠู†
216
+
217
+ 55
218
+ 00:04:22,190 --> 00:04:26,990
219
+ second mutation ูˆ ุจุนุฏูŠู† third mutation ู„ู…ุง ุงู„ู„ูŠ ู‡ูˆ
220
+
221
+ 56
222
+ 00:04:26,990 --> 00:04:29,750
223
+ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡ tumor ูˆ ุจุนุฏูŠู† ู…ู…ูƒู† fourth
224
+
225
+ 57
226
+ 00:04:29,750 --> 00:04:33,910
227
+ mutation ุนุดุงู† ุชุชุญูˆู„ ุงู„ู‰ malignant cell ูˆ ุงู„ู„ูŠ ู…ู…ูƒู†
228
+
229
+ 58
230
+ 00:04:33,910 --> 00:04:38,490
231
+ ุชูƒูˆู† ูŠุนู†ูŠ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุนู…ู„ invasion ูˆ ุงู„ุงู†ุชู‚ุงู„ ุงู„ู‰
232
+
233
+ 59
234
+ 00:04:38,490 --> 00:04:41,030
235
+ ุงู…ุงูƒู† ุงุฎุฑู‰ ุชู…ุงู… ุฒูŠ .. ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู†ู‡ ุงู„
236
+
237
+ 60
238
+ 00:04:41,030 --> 00:04:45,630
239
+ requirement for accumulation ofุงู„ุชุบูŠูŠุฑ ุนู…ุฑ ุงู„ูˆู‚ุช
240
+
241
+ 61
242
+ 00:04:45,630 --> 00:04:48,890
243
+ ูŠุดุฑุญ ู„ู…ุงุฐุง ูŠูˆุฌุฏ ุฑุบุจุงุช ุฃูƒุชุฑ ู…ู† ุงู„ู‚ู†ุจู„ุฉ ู…ุน ุนู…ุฑู‡ุง
244
+
245
+ 62
246
+ 00:04:48,890 --> 00:04:53,310
247
+ ูˆู„ู…ุงุฐุง ุงู„ู‚ู†ุจู„ุฉ ุฃุตุจุญ ุฃูƒุชุฑ ู…ู† ุงู„ู…ุนุงู…ู„ุงุช ุนุงู…ุฉ ุนุงู…ุฉ
248
+
249
+ 63
250
+ 00:04:53,310 --> 00:04:55,870
251
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
252
+
253
+ 64
254
+ 00:04:55,870 --> 00:04:58,010
255
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
256
+
257
+ 65
258
+ 00:04:58,010 --> 00:04:59,090
259
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
260
+
261
+ 66
262
+ 00:04:59,090 --> 00:05:00,130
263
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
264
+
265
+ 67
266
+ 00:05:00,130 --> 00:05:02,270
267
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
268
+
269
+ 68
270
+ 00:05:02,270 --> 00:05:10,690
271
+ ุนุงู…ุฉ ุนุงู…ุฉ ุนุงู…ุฉ
272
+
273
+ 69
274
+ 00:05:10,690 --> 00:05:18,100
275
+ ุนุทุจุนุง ุทุจุนุง ู‡ุฐุง ูŠุนู†ูŠ ุจูŠุนูˆุฏ ู„ุฃุณุจุงุจ ู…ุฎุชู„ูุฉ ูˆุนุดุงู† ู‡ูŠูƒ
276
+
277
+ 70
278
+ 00:05:18,100 --> 00:05:22,480
279
+ ุตุงุฑ ููŠู†ุง ุงู„ุขู† ูˆ ุจุงู„ุณุจุจ ุทุจุนุง ุงู„ .. ุงู„ .. ุงู„ุทูˆู„ ููŠ
280
+
281
+ 71
282
+ 00:05:22,480 --> 00:05:25,660
283
+ ุงู„ุฃุนู…ุงุฑ ุตุงุฑ ููŠู†ุง ุงู„ accumulation of mutations ู‡ุฐุง
284
+
285
+ 72
286
+ 00:05:25,660 --> 00:05:28,620
287
+ ุงู„ู„ูŠ ุจุชุตูŠุฑู‡ ูˆุจุงู„ุชุงู„ูŠ ุตุงุฑ ุนู†ุฏู†ุง ุฃุนุฏุงุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„
288
+
289
+ 73
290
+ 00:05:28,620 --> 00:05:31,900
291
+ cancer ููŠ ุชุฒุงูŠุฏู‡ the longer we live the more time
292
+
293
+ 74
294
+ 00:05:31,900 --> 00:05:35,140
295
+ there is for our DNA to accumulate mutations which
296
+
297
+ 75
298
+ 00:05:35,140 --> 00:05:40,220
299
+ may lead to cancer ุทูŠุจ ุทุจ ููŠ ุนู†ุฏู†ุง ุงุญู†ุง ุฃุทูุงู„ ู…ู…ูƒู†
300
+
301
+ 76
302
+ 00:05:40,220 --> 00:05:46,340
303
+ ูŠุตุงุจูˆุง ุจุงู„ cancerุทูŠุจ ุงู„ุทูู„ ูŠุนู†ูŠ ู„ุณู‡ ุนู…ุฑู‡ ู‚ู„ูŠู„
304
+
305
+ 77
306
+ 00:05:46,340 --> 00:05:49,560
307
+ ูˆู…ุงู„ุงุญู‚ุด ุงู†ู‡ ูŠุตูŠุฑ ููŠู‡ ุงู†ุง ุงู„ accumulation of
308
+
309
+ 78
310
+ 00:05:49,560 --> 00:05:54,880
311
+ mutations ุทูŠุจ ูƒูŠู ุงู„ุทูู„ ู‡ุฐุง ู…ู…ูƒู† ูŠุตุงุจ ุจุงู„ cancerุŸ
312
+
313
+ 79
314
+ 00:05:54,880 --> 00:05:57,820
315
+ ููŠู‡ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุณุจุจ ุงุฎุฑ ู…ู…ูƒู† ู„ุง ุงู„ุงุตุงุจุฉ ุจุงู„
316
+
317
+ 80
318
+ 00:05:57,820 --> 00:06:01,920
319
+ cancer because there is evidence that in a small
320
+
321
+ 81
322
+ 00:06:01,920 --> 00:06:06,380
323
+ percentage of tumors ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง a single
324
+
325
+ 82
326
+ 00:06:06,380 --> 00:06:12,030
327
+ catastrophic event ุงู‡ ูŠุจู‚ู‰ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง crisisููŠ
328
+
329
+ 83
330
+ 00:06:12,030 --> 00:06:17,870
331
+ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ุตูŠุฑ ููŠู†ุง ูƒุงุฑุซุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐู‡
332
+
333
+ 84
334
+ 00:06:17,870 --> 00:06:21,630
335
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ crisis ุงู„ู„ูŠ ุญุตูŠุฑ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ู…ู…ูƒู†
336
+
337
+ 85
338
+ 00:06:21,630 --> 00:06:26,510
339
+ ุชุคุฏูŠ ุฅู„ู‰ ุงู„ุนุฏูŠุฏ ู…ู† limb mutations ูˆู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰
340
+
341
+ 86
342
+ 00:06:26,510 --> 00:06:31,250
343
+ translocations ูˆู‡ุฐู‡ ู…ู…ูƒู† ุงู„ู„ูŠ ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer
344
+
345
+ 87
346
+ 00:06:31,250 --> 00:06:35,840
347
+ ุนู†ุฏ ุงู„ุฃุทูุงู„ ูˆุญู†ุญูƒูŠ ุนู„ูŠู‡ุงูŠุนู†ูŠ ู…ู…ูƒู† ุจุชูุณูŠุฑ ุดูˆูŠุฉ ููŠ
348
+
349
+ 88
350
+ 00:06:35,840 --> 00:06:38,880
351
+ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุทูŠุจ ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚
352
+
353
+ 89
354
+ 00:06:38,880 --> 00:06:42,720
355
+ ุจู†ูˆุน ุงู„ mutations ุงู„ู„ูŠ ุจุชุตูŠุฑ ุจูŠ ุงู„ุฎู„ุงูŠุง almost all
356
+
357
+ 90
358
+ 00:06:42,720 --> 00:06:45,940
359
+ of the mutations identified in tumor cells are
360
+
361
+ 91
362
+ 00:06:45,940 --> 00:06:49,960
363
+ somatic mutations ูŠุจู‚ู‰ ุงู„ somatic mutations the
364
+
365
+ 92
366
+ 00:06:49,960 --> 00:06:53,460
367
+ DNA of the somatic ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ body cell has been
368
+
369
+ 93
370
+ 00:06:53,460 --> 00:06:57,960
371
+ damagedูˆุทุจุนุง ู…ุง ุฒุงู„ ุงู„ู€ somatic mutations ูŠุจู‚ู‰ ู…ุด
372
+
373
+ 94
374
+ 00:06:57,960 --> 00:07:01,420
375
+ ู‡ุชู†ุชู‚ู„ for next generations ุฅุฐุง ูƒุงู† ู†ุญูƒูŠ ุนู„ู‰
376
+
377
+ 95
378
+ 00:07:01,420 --> 00:07:05,160
379
+ somatic mutations ู…ุนู†ุงุชู‡ ุงู„ limitations ู‡ุฐู‡ ู‡ุชูƒูˆู†
380
+
381
+ 96
382
+ 00:07:05,160 --> 00:07:10,240
383
+ ู…ูˆุฌูˆุฏุฉ ุจุงู„ุดุฎุต ุงู„ู„ูŠ ุฃุตูŠุจ ุจู‡ุฐู‡ ุงู„ mutation ูˆ ู…ุน ู…ูˆุชู‡
384
+
385
+ 97
386
+ 00:07:10,240 --> 00:07:13,800
387
+ ุทุจุนุง ุจุชู†ุชู‡ูŠ these mutations are not passed on to
388
+
389
+ 98
390
+ 00:07:13,800 --> 00:07:17,770
391
+ the next generation of offspringูˆุจุงู„ุชุงู„ูŠ they are
392
+
393
+ 99
394
+ 00:07:17,770 --> 00:07:22,330
395
+ not inherited ู„ูƒู† ููŠ ุฏุงุฎู„ ุงู„ุฌุณู… ู†ูุณู‡ they are
396
+
397
+ 100
398
+ 00:07:22,330 --> 00:07:25,370
399
+ passed to daughter cells after cell division ุฒูŠ ู…ุง
400
+
401
+ 101
402
+ 00:07:25,370 --> 00:07:28,650
403
+ ุดูˆูู†ุง ุญุชู‰ ุจุงู„ slide ุงู„ู„ูŠ ู‡ูˆ ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ุฅุฐุง ูƒุงู†
404
+
405
+ 102
406
+ 00:07:28,650 --> 00:07:32,810
407
+ ุตุงุฑ ููŠ ุนู†ุง a mutation ูุนู„ูŠุง ุงู„ mutation ู‡ุฐูŠ ุจุชู†ุชู‚ู„
408
+
409
+ 103
410
+ 00:07:32,810 --> 00:07:37,410
411
+ ู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ ูŠุนู†ูŠ ููŠ ุตุงุฑ mutations ุจุชู†ุชู‚ู„ they
412
+
413
+ 104
414
+ 00:07:37,410 --> 00:07:42,610
415
+ can be passed to daughter cells ู„ูƒู† ู„ุง ุชู†ุชู‚ู„ ุฅู„ู‰
416
+
417
+ 105
418
+ 00:07:42,610 --> 00:07:47,480
419
+ ุงู„ุฃุฌูŠุงู„ ุงู„ู‚ุงุฏู…ุฉ ุฃูˆ ู„ู„ offspringู„ู‡ุฐุง ุงู„ุดุฎุต
420
+
421
+ 106
422
+ 00:07:47,480 --> 00:07:50,180
423
+ inheritable modifications of the genome and the
424
+
425
+ 107
426
+ 00:07:50,180 --> 00:07:52,520
427
+ chromatin structure also play a role in
428
+
429
+ 108
430
+ 00:07:52,520 --> 00:07:57,520
431
+ carcinogenesis ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ุจุนุถ ุงู„ mutations ุงู„ู„ูŠ
432
+
433
+ 109
434
+ 00:07:57,520 --> 00:08:02,680
435
+ ู…ู…ูƒู† ูุนู„ูŠุง ุงุชู… ุชู…ุฑูŠุถู‡ุง ุฅู„ู‰ ุงู„ุฃุฌูŠุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุงุฏู…ุฉ
436
+
437
+ 110
438
+ 00:08:02,680 --> 00:08:05,900
439
+ ูˆู‡ุฐุง ุจูŠุตูŠุฑ ููŠ ุญุงู„ ุงู† ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutations ููŠ ุงู„
440
+
441
+ 111
442
+ 00:08:05,900 --> 00:08:11,360
443
+ sperm ุฃูˆ ุงู„ egg cells ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ mutations
444
+
445
+ 112
446
+ 00:08:11,360 --> 00:08:16,930
447
+ ุจุชุณู…ูŠู‡ุง germline mutationsูˆุงู„ู€ Gemline Mutations
448
+
449
+ 113
450
+ 00:08:16,930 --> 00:08:23,250
451
+ ุณูŠุชู… ุชุญูˆูŠู„ู‡ุง ุฅู„ู‰ Offspring ุจุนุถ ุงู„ู€ Gemline
452
+
453
+ 114
454
+ 00:08:23,250 --> 00:08:26,650
455
+ Mutations ูŠู…ูƒู† ุฃู† ูŠุณุจุจูˆุง ุฑุบุจุงุช ุฃูƒุชุฑ ู…ู† ุชุทูˆุฑ ุงู„ู‚ู†ุตุฑ
456
+
457
+ 115
458
+ 00:08:26,650 --> 00:08:32,390
459
+ ูˆู„ูƒู†ู‡ุง ุบุงู„ุจู‹ุง ุชุชุนุงู…ู„ ุจุงู„ุชุณุจุจ ุจุงู„ู‚ู†ุตุฑ ููˆุฑู‹ุง ูˆู‡ุฐุง
460
+
461
+ 116
462
+ 00:08:32,390 --> 00:08:34,850
463
+ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุดูˆูŠุฉ ูˆู‡ูŠูƒูˆู† ููŠู‡ ุฃู†ู‚ุงู… ุงุณุชู„ุญุงุฉ
464
+
465
+ 117
466
+ 00:08:34,850 --> 00:08:41,030
467
+ ุนุฏูŠุฏุฉ ุจู…ุง ุชุนู„ู‚ ุจู€ Gemline Mutations ูˆุจุงู„ุชุงู„ูŠ ุงู„ุดุฎุต
468
+
469
+ 118
470
+ 00:08:41,030 --> 00:08:43,710
471
+ ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏู‡ Gemline Mutation ู…ู…ูƒู† ูŠูƒูˆู† at
472
+
473
+ 119
474
+ 00:08:43,710 --> 00:08:50,100
475
+ higher riskู„ู„ุงุตุงุจุฉ ุจุฃู†ูˆุงุน ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ู…ู† ุงู„ู€
476
+
477
+ 120
478
+ 00:08:50,100 --> 00:08:53,780
479
+ cancer ู‡ุฐุง ุงู„ููŠุฌูˆุฑ ุจูŠูˆุถุญ ุงู„ู€ somatic mutations ูˆ
480
+
481
+ 121
482
+ 00:08:53,780 --> 00:08:58,060
483
+ ุงู„ germline mutations ุทุจุนุง ู‡ู†ุง ุงู†ู‡ ุงู„ูˆ ุงู„ somatic
484
+
485
+ 122
486
+ 00:08:58,060 --> 00:09:02,020
487
+ cells ูˆ ุงู„ cancer ุงู†ู‡ ุฒูŠ ู…ุง ุญูƒูŠู†ุง mutation ููŠ ุงู„
488
+
489
+ 123
490
+ 00:09:02,020 --> 00:09:07,160
491
+ somatic cells ูŠุจู‚ู‰ ุงู„ mutation ู‡ุฐู‡ ู‡ุชู†ุชู‚ู„ ู„ุงู„ู€
492
+
493
+ 124
494
+ 00:09:07,160 --> 00:09:09,980
495
+ daughter cells ููŠ ุญุงู„ ุงู†ู‡ ุตุงุฑ ุนู†ุฏู†ุง ุงู†ู‚ุณุงู… ู„ู‡ุฐู‡
496
+
497
+ 125
498
+ 00:09:09,980 --> 00:09:14,760
499
+ ุงู„ุฎู„ูŠุฉ ู‡ุชู†ุชู‚ู„ limitations ู„ ุงู„ุฎู„ุงูŠุง ุงู„ุฃุฎุฑู‰ ู„ูƒู†
500
+
501
+ 126
502
+ 00:09:14,760 --> 00:09:18,980
503
+ ุงู…ุชู‰ ู…ู…ูƒู† ุชู†ุชู‚ู„ ุงู„ุฎู„ูŠุฉ ู„ ุงู„ generations ุงู„ู‚ุงุฏู…ุฉ ููŠ
504
+
505
+ 127
506
+ 00:09:18,980 --> 00:09:22,580
507
+ ุญุงู„ ุงู†ู‡ ุตุงุฑ ุนู†ุฏู†ุง limitation ููŠ ุงู„ gemline cells
508
+
509
+ 128
510
+ 00:09:22,580 --> 00:09:26,480
511
+ ูŠุจู‚ู‰ ููŠ ุงู„ gemline cells ู…ุนู†ุงุชู‡ ุงู„ุฌู…ูŠุช ุงู„ู„ูŠ ู‡ุชู†ุชุฌ
512
+
513
+ 129
514
+ 00:09:26,480 --> 00:09:31,900
515
+ ุงู„ mutation ู‡ุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ูˆู‡ุฐู‡ ู‡ูŠุชู… ุชู…ุฑูŠุฑู‡ุงู„ู„
516
+
517
+ 130
518
+ 00:09:31,900 --> 00:09:36,500
519
+ generations ุงู„ู‚ุงุฏู…ุฉ ุทูŠุจ ุงู„ุขู† ู…ุง ุชูƒูˆู† ุงู„ cancer
520
+
521
+ 131
522
+ 00:09:36,500 --> 00:09:40,460
523
+ ูˆุฎู„ุงูŠุง ุงู„ cancer ุงู„ุขู† ุญูŠุตูŠุฑ ููŠู‡ ุฃู†ู†ุง uncontrolled
524
+
525
+ 132
526
+ 00:09:40,460 --> 00:09:43,840
527
+ proliferation ูˆู…ู…ูƒู† ู‡ุฐุง ุงู„ uncontrolled
528
+
529
+ 133
530
+ 00:09:43,840 --> 00:09:48,560
531
+ proliferation ู…ู…ูƒู† ูŠู†ุชูˆุฌ ุนู†ู‡ mutations ุฃุฎุฑู‰ ููŠ
532
+
533
+ 134
534
+ 00:09:48,560 --> 00:09:53,820
535
+ ุฏุงุฎู„ุงู„ุฎู„ุงูŠุง ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠู‚ุฏู‘ูŠ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ
536
+
537
+ 135
538
+ 00:09:53,820 --> 00:09:58,660
539
+ ุฃู†ู‡ ู…ู…ูƒู† ุจุฏุงูŠุฉ ุจุชูƒูˆู† ู„ู†ุง tumor ูˆู…ู…ูƒู† ุจุนุฏ ู‡ูŠูƒ ุจุชุญูˆู„
540
+
541
+ 136
542
+ 00:09:58,660 --> 00:10:02,660
543
+ ุฅู„ู‰ ุงู„ูˆ ู…ุงู„ูŠุฌู†ุงู† ุงู„ tumor ู„ุฃู†ู‡ ุฅูŠุด ู…ุน ุงู†ู‚ุณุงู…
544
+
545
+ 137
546
+ 00:10:02,660 --> 00:10:06,920
547
+ ุงู„ุฎู„ุงูŠุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ุฎู„ุงูŠุง ุจุชูƒุชุณุจ mutations ุฃุฎุฑู‰
548
+
549
+ 138
550
+ 00:10:06,920 --> 00:10:09,300
551
+ ูˆุงู„ mutations ุงู„ุฌุฏูŠุฏุฉ ู‡ุฐู‡ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูŠ ุจุชุฏูŠู‡ุง
552
+
553
+ 139
554
+ 00:10:09,300 --> 00:10:14,030
555
+ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ุนู…ู„ Invasion ูˆMetastasis The progressive
556
+
557
+ 140
558
+ 00:10:14,030 --> 00:10:16,590
559
+ changes of a cell resulting from an accumulation
560
+
561
+ 141
562
+ 00:10:16,590 --> 00:10:19,190
563
+ of genetic mutations that confer a growth
564
+
565
+ 142
566
+ 00:10:19,190 --> 00:10:22,970
567
+ advantage over its neighbors proceeds in a fashion
568
+
569
+ 143
570
+ 00:10:22,970 --> 00:10:27,550
571
+ analogous to Darwinian evolution ุจูŠุตูŠุฑ ููŠ ุฃู†ู†ุง
572
+
573
+ 144
574
+ 00:10:27,550 --> 00:10:32,530
575
+ mutations ู…ุฎุชู„ูุฉ ูˆ ุงู„ mutations ู‡ุฐู‡ ู…ุด ูˆุงุญุฏุฉ ููŠ
576
+
577
+ 145
578
+ 00:10:32,530 --> 00:10:35,270
579
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ููŠ ุฃู†ู†ุง ู…ู…ูƒู† ู†ุตูŠุฑ mutations
580
+
581
+ 146
582
+ 00:10:35,270 --> 00:10:40,370
583
+ ู…ุฎุชู„ูุฉ ููŠ ุงู„ cancer cells ุทูŠุจ ุงู„ุขู†ุงู„ู€ limitations
584
+
585
+ 147
586
+ 00:10:40,370 --> 00:10:45,270
587
+ ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ุชุตูŠุฑ ู‡ู„ ูƒู„ ุงู„ุฎู„ุงูŠุง ุงู„ู…ูˆุฌูˆุฏุฉ
588
+
589
+ 148
590
+ 00:10:45,270 --> 00:10:50,090
591
+ ู‡ุชุธู„ู‡ุง ูุนู„ูŠุง ุนุงูŠุดุฉ ูˆ ุจุชุชูƒุซุฑ ู„ุฃ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ู‡ุชุธู„ู‡ุง
592
+
593
+ 149
594
+ 00:10:50,090 --> 00:10:54,710
595
+ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงูƒุชุณุจุช ุฎุตุงุฆุต ู‚ุงุฏุฑุฉ ุนู„ู‰
596
+
597
+ 150
598
+ 00:10:54,710 --> 00:10:58,930
599
+ ุงู„ุชุฃู‚ู„ู… ู…ุน ุงู„ environment ุงู„ู„ูŠ ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ูˆ
600
+
601
+ 151
602
+ 00:10:58,930 --> 00:11:02,550
603
+ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ proliferation ุฃูˆ ู…ู…ูƒู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง
604
+
605
+ 152
606
+ 00:11:02,550 --> 00:11:07,250
607
+ invasion ู„ุงู„ู„ูŠ ู‡ูˆ ุฃู…ุงูƒู† ุฃุฎุฑู‰ ูŠุจู‚ู‰ a chance events
608
+
609
+ 153
610
+ 00:11:07,250 --> 00:11:09,710
611
+ give rise to mutations that convert changes in
612
+
613
+ 154
614
+ 00:11:09,710 --> 00:11:13,670
615
+ phenotype and allow adaptation to the environment
616
+
617
+ 155
618
+ 00:11:13,670 --> 00:11:18,450
619
+ resulting in the selectionand survival of the
620
+
621
+ 156
622
+ 00:11:18,450 --> 00:11:23,290
623
+ fittest ูŠุจู‚ู‰ ุงู„ุฃูุถู„ ุงู„ู„ู‰ ุฌุฏุฑ ุงู‚ู„ู… ู†ูุณู‡ ุงู„ุฎู„ุงูŠุง
624
+
625
+ 157
626
+ 00:11:23,290 --> 00:11:25,810
627
+ ุงู„ู„ู‰ ุงู„ cancer cells ุงู„ู„ู‰ ุฌุฏุฑ ุงู‚ู„ู… ู†ูุณู‡ุง ู…ุน ุงู„
628
+
629
+ 158
630
+ 00:11:25,810 --> 00:11:29,710
631
+ environment ุงู„ู„ู‰ ู…ูˆุฌูˆุฏุฉ ู‡ูŠ ุงู„ู„ู‰ ุจุชุจู‚ู‰ ูˆ ุงู„ุฎู„ุงูŠุง
632
+
633
+ 159
634
+ 00:11:29,710 --> 00:11:36,850
635
+ ุงู„ุฃุฎุฑู‰ ุจุชู†ุฏุซุฑ ุทูŠุจ ุงู„ุขู† ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ููŠ ุงู„ุฎู„ุงูŠุง
636
+
637
+ 160
638
+ 00:11:36,850 --> 00:11:40,150
639
+ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง defense mechanisms ูˆ ุงู„ defense
640
+
641
+ 161
642
+ 00:11:40,150 --> 00:11:45,220
643
+ mechanisms ู‡ุฐู‡ ุงู„ู…ูˆุฌูˆุฏุฉ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ุงูŠุชุบูŠุฑ ููŠ
644
+
645
+ 162
646
+ 00:11:45,220 --> 00:11:51,000
647
+ ุงู„ DNA ุงู„ู…ูุฑูˆุถ ุงู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุง repair ุทูŠุจ ูƒูŠู ู…ุน
648
+
649
+ 163
650
+ 00:11:51,000 --> 00:11:53,700
651
+ ูˆุฌูˆุฏ ุงู„ defense mechanisms ู‡ุฐู‡ ูˆ ุงู„ DNA repair
652
+
653
+ 164
654
+ 00:11:53,700 --> 00:11:57,380
655
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุฎู„ุงูŠุง ูƒูŠู ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุง
656
+
657
+ 165
658
+ 00:11:57,380 --> 00:12:01,440
659
+ mutations ูˆ ูŠุตูŠุฑ ููŠ ุนู†ุง accumulation ู„ู‡ุฐู‡ ุงู„
660
+
661
+ 166
662
+ 00:12:01,440 --> 00:12:04,880
663
+ mutations ุทุจุนุง ู…ู† ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุตูŠุฑ ุงู†ู‡ ูŠุตูŠุฑ
664
+
665
+ 167
666
+ 00:12:04,880 --> 00:12:09,520
667
+ ููŠ ุนู†ุง mutation ููŠ ุงู„ proteins ุงู„ู…ุณุฆูˆู„ุฉ ุนู† ุงู„ DNA
668
+
669
+ 168
670
+ 00:12:09,520 --> 00:12:14,280
671
+ repairูŠุจู‚ู‰ ุฒูŠ ู…ุง ุญุฏุซุชูˆุง ุจุงู„ุชูุตูŠู„ ู…ุน ุงู„ุฏูƒุชูˆุฑ ูุถู„
672
+
673
+ 169
674
+ 00:12:14,280 --> 00:12:16,540
675
+ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€ DNA repairุŒ ููŠ ุนู†ุฏู†ุง ู…ูŠูƒุงู†ูŠุฒู…
676
+
677
+ 170
678
+ 00:12:16,540 --> 00:12:22,120
679
+ ู…ุฎุชู„ูุฉ ู„ู€ ุงู„ู€ DNA repair ูˆู…ู…ูƒู† ูุนู„ูŠุง ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
680
+
681
+ 171
682
+ 00:12:22,120 --> 00:12:26,560
683
+ mutations ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุณุคูˆู„ุฉ ุนู† ุงู„ู€ DNA repair
684
+
685
+ 172
686
+ 00:12:26,560 --> 00:12:29,780
687
+ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุซุงู„ ุนู†ุฏู†ุง ููŠ ุงู„ breast cancer ุงู„ู„ูŠ
688
+
689
+ 173
690
+ 00:12:29,780 --> 00:12:33,710
691
+ ู‡ูˆ ุงู„ู€ BRCA genesุงู„ู€ Brachia GenesุŒ ุงู„ู€ Genุงุช ุงู„ู„ูŠ
692
+
693
+ 174
694
+ 00:12:33,710 --> 00:12:36,470
695
+ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ ุงู„ู€ DNA repair ุชู…ุงู…ุŸ ูˆุจุงู„ุชุงู„ูŠ
696
+
697
+ 175
698
+ 00:12:36,470 --> 00:12:39,850
699
+ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู†ุง ูุนู„ูŠุง mutation ููŠ ู‡ุฐู‡ ุงู„ genes
700
+
701
+ 176
702
+ 00:12:39,850 --> 00:12:44,250
703
+ ูˆูŠู†ุชุฌ ุนู†ุงุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Non-Functional Protein ูˆูŠุตูŠุฑ
704
+
705
+ 177
706
+ 00:12:44,250 --> 00:12:48,470
707
+ ููŠ ุนู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ DNA Repair ุฃูŠุถู‹ุงุŒ ุนู†ุง ู…ู† ุงู„ู€
708
+
709
+ 178
710
+ 00:12:48,470 --> 00:12:51,770
711
+ Tumor Suppressor Genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ู…ูˆุถูˆุน
712
+
713
+ 179
714
+ 00:12:51,770 --> 00:12:55,250
715
+ ุงู„ู€ DNA Repair ูˆ ุงู„ู€ Cell Cycle Arrest ูˆุญุชู‰ ุงู„ู€
716
+
717
+ 180
718
+ 00:12:55,250 --> 00:13:01,550
719
+ Induction of Apoptosis ุนู†ุง ุงู„ู€ B53 ูˆุงู„ู€ B53 ููŠ
720
+
721
+ 181
722
+ 00:13:01,550 --> 00:13:08,220
723
+ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู€ cancers ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ mutationุชู…ุงู…
724
+
725
+ 182
726
+ 00:13:08,220 --> 00:13:12,080
727
+ ูˆูŠุชุญูˆู„ ุฅู„ู‰ non-functional ุงู„ุจุฑูˆุชูŠู†ูˆ ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ูŠุฉ
728
+
729
+ 183
730
+ 00:13:12,080 --> 00:13:16,240
731
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ repair ุนู…ู„ูŠุฉ ุงู„ cell cycle arrest ูˆุฃูŠุถุง
732
+
733
+ 184
734
+ 00:13:16,240 --> 00:13:18,420
735
+ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ induction of apoptosis ูƒู„ู‡ุง ุฏูŠ
736
+
737
+ 185
738
+ 00:13:18,420 --> 00:13:23,600
739
+ ู‡ุชุชุฃุซุฑ ููŠ ุญุงู„ ุงู†ู‡ ุงู„ B53 ุตุงุฑ ููŠ ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจู‚ู‰
740
+
741
+ 186
742
+ 00:13:23,600 --> 00:13:26,200
743
+ ุงู„ุขู† ุงู† any alterations of DNA that are not
744
+
745
+ 187
746
+ 00:13:26,200 --> 00:13:28,860
747
+ repaired before the next cell division are passed
748
+
749
+ 188
750
+ 00:13:28,860 --> 00:13:32,720
751
+ on to the daughter cells and are maintainedูŠุจู‚ู‰
752
+
753
+ 189
754
+ 00:13:32,720 --> 00:13:36,580
755
+ ุฎู„ูŠุฉ ุทุจูŠุนูŠุฉ ููŠ DNA repair ุตุงุฑ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„
756
+
757
+ 190
758
+ 00:13:36,580 --> 00:13:41,480
759
+ DNA repair ูˆู…ุง ุชู…ุด ุญู„ ุงู„ู…ุดูƒู„ุฉ ู‚ุจู„ ุงู„ุงู†ู‚ุณุงู… ุงู„ุชุงู„ูŠ
760
+
761
+ 191
762
+ 00:13:41,480 --> 00:13:44,460
763
+ ูŠุจู‚ู‰ ู…ุนู†ุงู‡ ุงู„ mutation ุงู„ู„ูŠ ูƒุงู†ุช ู…ูˆุฌูˆุฏุฉ ููŠ ุฎู„ูŠุฉ
764
+
765
+ 192
766
+ 00:13:44,460 --> 00:13:49,080
767
+ ู‡ูŠุตูŠุฑ ู…ูˆุฌูˆุฏุฉ ููŠ ุฎู„ูŠุชูŠู† ูˆู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุฃุฑุจุนุฉ ูˆ ุงู„ู„ูŠ
768
+
769
+ 193
770
+ 00:13:49,080 --> 00:13:53,100
771
+ ู‡ูˆ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุงู†ุชู‚ุงู„ ู„ู‡ุฐู‡ ุงู„ mutation ุฃูˆ ุงู„
772
+
773
+ 194
774
+ 00:13:53,100 --> 00:13:57,570
775
+ mutationsุงู„ู‰ ุงู„ daughter cells ุทูŠุจ ุงู„ in cases of
776
+
777
+ 195
778
+ 00:13:57,570 --> 00:14:00,630
779
+ severe DNA damage cell suicide is induced in order
780
+
781
+ 196
782
+ 00:14:00,630 --> 00:14:03,670
783
+ to protect the whole body from cell transformation
784
+
785
+ 197
786
+ 00:14:03,670 --> 00:14:07,370
787
+ ูˆู‡ุฐุง ูุนู„ูŠุง ุงู„ุชุณู„ุณู„ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ูŠุนู†ูŠ ุงู†ุชูˆุง ู„ู…ุง ุญูƒูŠู†ุง
788
+
789
+ 198
790
+ 00:14:07,370 --> 00:14:11,090
791
+ ุนู„ู‰ ุงู„ B53 ุงู„ุขู† ุงู„ B53 ุงุฐุง ูƒุงู† ุงู†ุง ุตุงุฑ ููŠ ุนู†ุฏูŠ
792
+
793
+ 199
794
+ 00:14:11,090 --> 00:14:18,200
795
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ DNAุฃูˆู„ ุงุดูŠ ุจูŠุนู…ู„ู‡ ุงู†ู‡ ุจูŠุนู…ู„ ุนู„ู‰ ุงู„ู„ูŠ
796
+
797
+ 200
798
+ 00:14:18,200 --> 00:14:23,680
799
+ ู‡ูˆ cell cycle arrest ุจูŠูˆู‚ู ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉ ู„ูŠุดุŸ ุนุดุงู†
800
+
801
+ 201
802
+ 00:14:23,680 --> 00:14:27,680
803
+ ู†ุนุทูŠ ูุฑุตุฉ ู„ู„ repair mechanisms ุงู†ู‡ุง ุชุตูŠุฑ ุทูŠุจ
804
+
805
+ 202
806
+ 00:14:27,680 --> 00:14:31,080
807
+ ู…ุงุตุงุฑุชุด repair mechanisms ูŠุจู‚ู‰ ุงู„ู…ูุฑูˆุถ ูŠุตูŠุฑ ููŠู‡ุง
808
+
809
+ 203
810
+ 00:14:31,080 --> 00:14:34,420
811
+ induction of apoptosis ูˆ ุงู„ุฎู„ูŠุฉ ู‡ุงุฏู‰ ุงุชู…ูˆุช ูˆ ู†ุชุฎู„ุต
812
+
813
+ 204
814
+ 00:14:34,420 --> 00:14:38,970
815
+ ู…ู†ู‡ุงุชู…ุงู… ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู€ B53 ุจูŠู„ุงุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ู‡ุฐุง
816
+
817
+ 205
818
+ 00:14:38,970 --> 00:14:43,030
819
+ ุงู„ู…ูˆุถูˆุน ุทุจุนุง ุจูŠุจู‚ู‰ many mechanisms exist for
820
+
821
+ 206
822
+ 00:14:43,030 --> 00:14:46,310
823
+ blocking carcinogenic events ูˆุฅู† ุงู„ู„ูŠ ู‡ูˆ tumor
824
+
825
+ 207
826
+ 00:14:46,310 --> 00:14:49,410
827
+ suppressor genes ุนุฏูŠุฏุฉ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู„ู…ุง ู‡ู†ุญูƒูŠ ุนู† ุงู„
828
+
829
+ 208
830
+ 00:14:49,410 --> 00:14:52,190
831
+ tumor suppressors ุจูŠุนู†ูŠ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ mechanisms
832
+
833
+ 209
834
+ 00:14:52,190 --> 00:14:58,010
835
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู„ูŠ ุจุชู…ู†ุน ู…ู† ูุนู„ูŠุง ุชูƒูˆู† ุงู„ cancer
836
+
837
+ 210
838
+ 00:14:58,010 --> 00:15:16,070
839
+ ู„ูƒู†ุงู„ุชุนุงู…ู„ ุจุงู„ู†ุธุงู… ุชุฒุฏุงุฏ ูุฑุตุฉ ุชูู„ุช ู…ู†
840
+
841
+ 211
842
+ 00:15:16,070 --> 00:15:22,750
843
+ ู†ุธุงู… ุงู„ู…ุฑุงู‚ุจุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ุฏุงุฎู„ ุงู„ุฌุณู… process that
844
+
845
+ 212
846
+ 00:15:22,750 --> 00:15:26,290
847
+ contribute to the overall net cell number in an
848
+
849
+ 213
850
+ 00:15:26,290 --> 00:15:30,730
851
+ individualูˆู‡ุฐู‡ ุงู„ุนู…ู„ูŠุงุช ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ู‰ ู…ู…ูƒู† ุชุคุฏูŠ
852
+
853
+ 214
854
+ 00:15:30,730 --> 00:15:37,230
855
+ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุงู„ู„ู‰ growth, apoptosis and
856
+
857
+ 215
858
+ 00:15:37,230 --> 00:15:41,530
859
+ differentiation ุงู„ cell proliferation ุงู„ู„ู‰ cell
860
+
861
+ 216
862
+ 00:15:41,530 --> 00:15:45,750
863
+ division ุงูˆ cell growth ู‡ุฐู‰ ู…ู† ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ู‰ ุจุชุฒูŠุฏ
864
+
865
+ 217
866
+ 00:15:45,750 --> 00:15:50,770
867
+ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง cell proliferation ู…ุนู†ุงุชู‡ ู…ู…ูƒู† ูŠุชูƒูˆู†
868
+
869
+ 218
870
+ 00:15:50,770 --> 00:15:55,070
871
+ ุงู†ู‡ cancer cell division results in two daughter
872
+
873
+ 219
874
+ 00:15:55,070 --> 00:15:58,910
875
+ cellsุจุฌู‡ ู‡ุฐุง ู…ู† ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ู‰ ุจุชุฒูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
876
+
877
+ 220
878
+ 00:15:58,910 --> 00:16:04,370
879
+ ุงูŠุถุง ุงู† ุงู„ุงุจูˆุจุชูˆุฒุฒ ู…ุงู†ุน ุงู„ุงุจูˆุจุชูˆุฒุฒ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠ
880
+
881
+ 221
882
+ 00:16:04,370 --> 00:16:09,750
883
+ ุงู†ู‡ ุงู†ู‡ูŠุจุดู† ู„ู„ุงุจูˆุจุชูˆุฒุฒ ู„ุณุจุจ ุงูˆ ู„ุงุฎุฑ ุชู…ุงู… ู…ุนู†ุงู‡
884
+
885
+ 222
886
+ 00:16:09,750 --> 00:16:14,210
887
+ ุชูˆู‡ุงู† ู…ู…ูƒู† ู‡ุฐุง ูŠุคุฏูŠ ุงู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
888
+
889
+ 223
890
+ 00:16:14,210 --> 00:16:16,890
891
+ ุงู„ุงุจูˆุจุชูˆุฒุฒ elimination of cells by program cell
892
+
893
+ 224
894
+ 00:16:16,890 --> 00:16:20,920
895
+ deathุงู„ุฎู„ุงูŠุง ุชุฃุซูŠุฑ ุนู„ู‰ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ู„ูˆ ุชู… ู…ู†ุน
896
+
897
+ 225
898
+ 00:16:20,920 --> 00:16:24,780
899
+ ุงู„ุงุจูˆุชุงุฒุงุช ุจุฌุง ู…ุนู†ุงุชู‡ ุญูŠุตูŠุฑ ููŠ ุงู†ู‡ุง ุฒูŠุงุฏุฉ ููŠ ุนุฏุฏ
900
+
901
+ 226
902
+ 00:16:24,780 --> 00:16:30,060
903
+ ุงู„ุฎู„ุงูŠุง ุงู„ process ุงู„ุชุงู„ุชุฉ ู‡ูŠ ุงู„ differentiation
904
+
905
+ 227
906
+ 00:16:30,060 --> 00:16:34,800
907
+ ุงู„ู„ูŠ ู‡ูˆ ุชู…ุงูŠุฒ ุงู„ุฎู„ุงูŠุง during the process of
908
+
909
+ 228
910
+ 00:16:34,800 --> 00:16:38,140
911
+ differentiation cells can enter an inactive phase
912
+
913
+ 229
914
+ 00:16:38,140 --> 00:16:41,900
915
+ of cell growthุชู…ุงู… ูŠุจู‚ู‰ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ
916
+
917
+ 230
918
+ 00:16:41,900 --> 00:16:46,780
919
+ differentiation ู„ ุงู„ุฎู„ุงูŠุง ูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ุจุชุชูˆู‚ู ุนู†
920
+
921
+ 231
922
+ 00:16:46,780 --> 00:16:52,160
923
+ ุงู„ proliferation ุทูŠุจ ู„ูˆ ู…ุงุตุงุฑุด ู„ูˆ ุตุงุฑ ููŠ ุงู† ุงุดูŠ
924
+
925
+ 232
926
+ 00:16:52,160 --> 00:16:56,580
927
+ ู…ู†ุน ุงู„ differentiation ุฒูŠ ู…ุง ุจุตูŠุฑ ููŠ ุจุนุถ ุญุงู„ุงุช
928
+
929
+ 233
930
+ 00:16:56,580 --> 00:17:01,320
931
+ ุงู„ู„ูˆูƒูŠู…ูŠุง ุฅุฐุง ูƒุงู† ุชู… ู…ู†ุน ุงู„ differentiation ูŠุจู‚ู‰
932
+
933
+ 234
934
+ 00:17:01,320 --> 00:17:04,940
935
+ ู…ุนู†ุงุชู‡ ุงู„ุฎู„ุงูŠุง ู‡ูŠุถู„ ููŠ ุนู†ุฏู‡ุง ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„
936
+
937
+ 235
938
+ 00:17:04,940 --> 00:17:09,140
939
+ proliferation ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุงูˆุจู‡ุฏูˆู„
940
+
941
+ 236
942
+ 00:17:09,140 --> 00:17:13,860
943
+ ุงู„ุชู„ุงุช ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ู‡ุฏูˆู„ ุจูŠุฃุซุฑูˆุง ุนู„ู‰ ุนุฏุฏ
944
+
945
+ 237
946
+ 00:17:13,860 --> 00:17:17,340
947
+ ุงู„ุฎู„ุงูŠุง ุงู„ู…ูˆุฌูˆุฏุฉ DNA mutations that alter the
948
+
949
+ 238
950
+ 00:17:17,340 --> 00:17:21,820
951
+ function of normal genes involved in a growth,
952
+
953
+ 239
954
+ 00:17:22,080 --> 00:17:25,280
955
+ apoptosis or differentiation can affect the
956
+
957
+ 240
958
+ 00:17:25,280 --> 00:17:28,280
959
+ balance of cell numbers in the body and lead to
960
+
961
+ 241
962
+ 00:17:28,280 --> 00:17:34,040
963
+ unregulated growthุฃูŠ mutations ุญุตูŠุฑ ููŠ ุงู„ ุงู„ ุงู„
964
+
965
+ 242
966
+ 00:17:34,040 --> 00:17:37,760
967
+ genes ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ู‡ุฏูˆู„ ุนู…ู„ูŠุงุช ุงู„ุชู„ุงุชุฉ ู…ู…ูƒู†
968
+
969
+ 243
970
+ 00:17:37,760 --> 00:17:40,980
971
+ ุจุงู„ู†ู‡ุงูŠุฉ ูŠุคุฏูŠ ุฅู„ู‰ unregulated ุฅุฌุฑุงุซุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง
972
+
973
+ 244
974
+ 00:17:40,980 --> 00:17:43,320
975
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ุจุงู„ cell
976
+
977
+ 245
978
+ 00:17:43,320 --> 00:17:48,280
979
+ proliferation ุชู…ุงู… ูˆุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู‡ ุฎู„ู„ ูˆุตุงุฑ ููŠ
980
+
981
+ 246
982
+ 00:17:48,280 --> 00:17:50,860
983
+ ุฃู†ู‡ ุฒูŠุงุฏุฉ ููŠ ู‡ุฐุง ุงู„ุจุฑูˆุชูŠู†ุงุช ุจูŠุญุท ุฒูŠุงุฏุฉ ุนุฏู„ ุงู„ุฎู„ุงูŠุง
984
+
985
+ 247
986
+ 00:17:50,860 --> 00:17:57,630
987
+ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู‡ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ู‰ ุจุชู‚ุฏูŠ
988
+
989
+ 248
990
+ 00:17:57,630 --> 00:18:00,890
991
+ ุงู„ุงุจูˆุจุชูˆุฒุฒ ู‡ูŠุฒูŠุฏ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ูˆ if the cancer ููŠ
992
+
993
+ 249
994
+ 00:18:00,890 --> 00:18:03,230
995
+ ุฃู†ู‡ ู…ู†ุน ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ู‰ ุนู„ุงู‚ุฉ ุจูŠู‡ ุงู„
996
+
997
+ 250
998
+ 00:18:03,230 --> 00:18:06,930
999
+ differentiation ุจูŠุจู‚ู‰ ู…ุนู†ุงู‡ุง ุจุฑุถู‡ ู‡ูŠุฒูŠุฏ ุนุฏุฏ
1000
+
1001
+ 251
1002
+ 00:18:06,930 --> 00:18:11,230
1003
+ ุงู„ุฎู„ุงูŠุง ุทูŠุจ ุนุดุงู† ูŠุนู†ูŠ ุชูˆุถุญ ุงู„ููƒุฑุฉ ุฃูƒุชุฑ ู‡ู†ุง ุฅู†
1004
+
1005
+ 252
1006
+ 00:18:11,230 --> 00:18:16,030
1007
+ ุงู„ููŠุฌุฑ ู‡ุฐุง ุจูŠูˆุถุญ ููŠู‡ ู‡ู†ุง ุฃู† ุฎู„ุงูŠุง ุฃุฑุจุน ุฎู„ุงูŠุง ู‚ุงุฏุฑุฉ
1008
+
1009
+ 253
1010
+ 00:18:16,030 --> 00:18:20,610
1011
+ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ููŠ ุฃู† ุฃุฑุจุน ุฎู„ุงูŠุง ููŠ induction of
1012
+
1013
+ 254
1014
+ 00:18:20,610 --> 00:18:26,460
1015
+ apoptosisูˆ ู‡ุชู…ูˆุช ูˆ ููŠ ุนู†ุฏู†ุง ุฎู„ูŠุฉ ุจุณู„ู‡ุง
1016
+
1017
+ 255
1018
+ 00:18:26,460 --> 00:18:31,220
1019
+ differentiation ุชู…ุงู… ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุฎู„ุงูŠุง ุงู„ู„ูŠ ุงู†ู‚ุณู…ุช
1020
+
1021
+ 256
1022
+ 00:18:31,220 --> 00:18:37,260
1023
+ ูƒู„ ุฎู„ูŠุฉ ุงุนุชุทู† ุฎู„ูŠุชูŠู† ูŠุจู‚ู‰ ุงู„ุฃุฑุจุน ุตุงุฑูˆุง ุชู…ุงู†ูŠุฉ ุชู…ุงู…
1024
+
1025
+ 257
1026
+ 00:18:37,260 --> 00:18:42,340
1027
+ ู„ูƒู† ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏู†ุง ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชูˆุง ูˆ ุฎู„ูŠุฉ
1028
+
1029
+ 258
1030
+ 00:18:42,340 --> 00:18:45,840
1031
+ ุตุงุฑุชู‡ุง differentiationูŠุจู‚ู‰ ุนุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ total
1032
+
1033
+ 259
1034
+ 00:18:45,840 --> 00:18:50,640
1035
+ cells ุญูุธู†ุง ุนู„ูŠู‡ ุจุฅู†ู‡ ุถุงู„ู‡ ุชุณุนุฉุŒ ูŠุจู‚ู‰ ุชุณุนุฉ ุฎู„ุงูŠุง
1036
+
1037
+ 260
1038
+ 00:18:50,640 --> 00:18:55,240
1039
+ ูˆุถุงู„ ููŠู†ุง ุชุณุนุฉ ุฎู„ุงูŠุง ู„ุฃู†ู‡ ููŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุญูƒู… ููŠ
1040
+
1041
+ 261
1042
+ 00:18:55,240 --> 00:18:59,300
1043
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
1044
+
1045
+ 262
1046
+ 00:18:59,300 --> 00:19:03,500
1047
+ cell number ุฃุฑุจุน ุฎู„ุงูŠุง ุงู†ู‚ุณู…ูˆุง ูŠุฏูˆู†ูŠ ุชู…ุงู†ูŠุฉุŒ
1048
+
1049
+ 263
1050
+ 00:19:03,500 --> 00:19:07,710
1051
+ ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏูŠ ุฃุฑุจุน ุฎู„ุงูŠุง ู…ุงุชุชูˆุฎู„ูŠุฉ ุตู„ุช
1052
+
1053
+ 264
1054
+ 00:19:07,710 --> 00:19:09,490
1055
+ differentiation ุฒูŠ ู…ุง ู‚ู„ู†ุง ู„ู…ุง ุจูŠุตูŠุฑ ููŠู‡
1056
+
1057
+ 265
1058
+ 00:19:09,490 --> 00:19:12,930
1059
+ differentiation ุจุชูู‚ุฏ ุงู„ุฎู„ูŠุฉ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„
1060
+
1061
+ 266
1062
+ 00:19:12,930 --> 00:19:17,270
1063
+ proliferation ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ูˆ ุตุงุฑ ููŠ
1064
+
1065
+ 267
1066
+ 00:19:17,270 --> 00:19:20,730
1067
+ ุนู†ุฏู†ุง apoptosis is blocked in one cell ุฎู„ูŠุฉ ูˆุงุญุฏุฉ
1068
+
1069
+ 268
1070
+ 00:19:20,730 --> 00:19:25,070
1071
+ ู…ู† ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ูŠุตูŠุฑ ู„ู‡ุง apoptosis ุตุงุฑ ููŠ ุนู†ุฏูŠ
1072
+
1073
+ 269
1074
+ 00:19:25,070 --> 00:19:27,870
1075
+ ู…ุดูƒู„ุฉ mutations ููŠ ุงู„ genes ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ููŠ ุงู„
1076
+
1077
+ 270
1078
+ 00:19:27,870 --> 00:19:32,090
1079
+ apoptosis ูˆ ุงู„ุฎู„ูŠุฉ ู‡ุฐู‡ ู…ุงู…ุชุชุด ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง
1080
+
1081
+ 271
1082
+ 00:19:32,090 --> 00:19:37,040
1083
+ ุงู„ุงุฑุจุนุฉ dividing cells ุงู„ุฃุฑุจุนุฉ ุงุนุทูˆู†ูŠ ุชู…ุงู†ูŠุฉุชู…ุงู…
1084
+
1085
+ 272
1086
+ 00:19:37,040 --> 00:19:41,060
1087
+ ูˆููŠ ุนู†ุฏูŠ ุชู„ุช ุฎู„ุงูŠุง ู…ุงุชูˆุง ุฎู„ูŠุฉ ุตู„ู‰ differentiation
1088
+
1089
+ 273
1090
+ 00:19:41,060 --> 00:19:45,200
1091
+ ู„ูƒู† ุงู„ุฎู„ูŠุฉ ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุชู…ูˆุช ูˆู…ุง ู…ุงุชุชุด ุตุงุฑุช ู‡ุฐู‡
1092
+
1093
+ 274
1094
+ 00:19:45,200 --> 00:19:50,010
1095
+ ุงู„ุฎู„ูŠุฉ ู‚ุงุฏุฑุฉ ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ุชู…ุงู… ูˆุจุงู„ุชุงู„ูŠุงู„ุขู†
1096
+
1097
+ 275
1098
+ 00:19:50,010 --> 00:19:54,850
1099
+ ุงู„ุฎู„ุงูŠุง ุจุฏู„ ู…ุง ุญูุธู†ุง ุนู„ูŠู‡ู… ุชุณุนุฉ ุฎู„ุงูŠุง ุตุงุฑ ููŠ ุนู†ุง
1100
+
1101
+ 276
1102
+ 00:19:54,850 --> 00:20:00,450
1103
+ ุงุญุชุงุดุฑ ุฎู„ูŠุฉ I ุจุฒุงุฏูˆุง ุฎุงู„ูŠุชูŠู† ุชู…ุงู… ุจุฌุงู†ุจ ุงู„ููƒุฑุฉ
1104
+
1105
+ 277
1106
+ 00:20:00,450 --> 00:20:02,930
1107
+ ุงู„ู„ูŠ ุจูˆุถุญ ุงู„ููƒุฑุฉ ุงู†ู‡ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ three
1108
+
1109
+ 278
1110
+ 00:20:02,930 --> 00:20:07,930
1111
+ processes ูˆูƒูŠู ู…ู…ูƒู† ุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู…ุญุงูุธุฉ ุนู„ู‰ ุงู„
1112
+
1113
+ 279
1114
+ 00:20:07,930 --> 00:20:11,090
1115
+ cell number gene mutations which can lead to
1116
+
1117
+ 280
1118
+ 00:20:11,090 --> 00:20:16,190
1119
+ cancer ุทุจุนุง ุงุญู†ุง ููŠ ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†ุฏู†ุง mutations ููŠ
1120
+
1121
+ 281
1122
+ 00:20:16,190 --> 00:20:21,270
1123
+ genes ู…ุฎุชู„ูุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุฏุงุฎู„ ุงู„ุฌุณู…ุทุจ ู‡ู„ ูƒู„ mutation
1124
+
1125
+ 282
1126
+ 00:20:21,270 --> 00:20:27,410
1127
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancerุŸ ุทุจุนุงู‹ ู„ุฃ ูŠุจู‚ู‰ ุงู„
1128
+
1129
+ 283
1130
+ 00:20:27,410 --> 00:20:31,870
1131
+ mutation ุงู„ู„ูŠ ุจุฏู‡ุง ุชุตูŠุฑ ุจุฏู‡ุง ุชุตูŠุฑ ููŠ gene ุงู„ู„ูŠ
1132
+
1133
+ 284
1134
+ 00:20:31,870 --> 00:20:36,250
1135
+ ุนู„ุงู‚ุฉ ุจ ุงู„ processes ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง
1136
+
1137
+ 285
1138
+ 00:20:36,250 --> 00:20:40,570
1139
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ู…ูˆุถูˆุน ุงู„ cell number
1140
+
1141
+ 286
1142
+ 00:20:40,570 --> 00:20:45,150
1143
+ ูŠุจู‚ู‰ ุนู„ู‰ ุณุจูŠู„ ุงู„ุจุซุงู„ ู„ูˆ ุตุงุฑ ููŠู†ุง mutation in the
1144
+
1145
+ 287
1146
+ 00:20:45,150 --> 00:20:50,040
1147
+ hemoglobin geneู‡ุฐุง ู…ุด ู‡ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ู„ูƒู†
1148
+
1149
+ 288
1150
+ 00:20:50,040 --> 00:20:55,680
1151
+ ู‡ูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ function ู„ู‡ูŠู…ูˆุฌู„ูˆุจูŠู† ุงู„ู€ function of
1152
+
1153
+ 289
1154
+ 00:20:55,680 --> 00:20:57,640
1155
+ hemoglobin does not affect cell growth
1156
+
1157
+ 290
1158
+ 00:20:57,640 --> 00:21:01,680
1159
+ differentiation or death and does not lead to
1160
+
1161
+ 291
1162
+ 00:21:01,680 --> 00:21:07,720
1163
+ unregulated growth of blood cells ุชู…ุงู…ุŸ ูุจุงู„ุชุงู„ูŠ
1164
+
1165
+ 292
1166
+ 00:21:07,720 --> 00:21:12,340
1167
+ ุงู„ู€ hemoglobin gene is not a proto-oncogeneูŠุจู‚ู‰
1168
+
1169
+ 293
1170
+ 00:21:12,340 --> 00:21:15,960
1171
+ ุฅุฐุง ูƒุงู†ุช ุจูŠุตูŠุฑ ููŠู†ุง cancerุŒ ุจูŠุตูŠุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„
1172
+
1173
+ 294
1174
+ 00:21:15,960 --> 00:21:19,920
1175
+ genes ุงู„ู„ูŠ ู‡ุงู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ processes ุงู„ู„ูŠ ุญูƒูŠู†ุง
1176
+
1177
+ 295
1178
+ 00:21:19,920 --> 00:21:24,460
1179
+ ุนู„ูŠู‡ุงุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cell growthุŒ ุงู„-apoptosis ุฃูˆ ุงู„
1180
+
1181
+ 296
1182
+ 00:21:24,460 --> 00:21:29,410
1183
+ differentiationูˆ ู‡ุฐู‡ ุงู„ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
1184
+
1185
+ 297
1186
+ 00:21:29,410 --> 00:21:33,650
1187
+ ุจุงู„ุชู„ุงุช ุงู„ process ุงู„ู„ูŠ ุญูƒูŠู†ุง ุนู„ูŠู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„
1188
+
1189
+ 298
1190
+ 00:21:33,650 --> 00:21:37,730
1191
+ onco genes ูˆ ุงู„ tumor suppressor genes ุงู„ growth
1192
+
1193
+ 299
1194
+ 00:21:37,730 --> 00:21:40,790
1195
+ is regulated by both positive and negative
1196
+
1197
+ 300
1198
+ 00:21:40,790 --> 00:21:47,450
1199
+ molecular factors ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ growth ูŠุจู‚ู‰
1200
+
1201
+ 301
1202
+ 00:21:47,450 --> 00:21:53,270
1203
+ ููŠ ุนู†ุง enhancement of positive factors ุชู…ุงู…ุŸ ุงู†
1204
+
1205
+ 302
1206
+ 00:21:53,270 --> 00:21:58,600
1207
+ ูŠุตูŠุฑ ููŠ ุนู†ุง ุฒูŠุงุฏุฉ ููŠุงู„ู€ Growth Factors ุชู…ุงู…
1208
+
1209
+ 303
1210
+ 00:21:58,600 --> 00:22:01,740
1211
+ ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Cell Growth Cell
1212
+
1213
+ 304
1214
+ 00:22:01,740 --> 00:22:08,020
1215
+ Proliferation ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุฒูŠุงุฏุฉ ุนุฏุฏ ุงู„ุฎู„ุงูŠุง
1216
+
1217
+ 305
1218
+ 00:22:08,020 --> 00:22:11,020
1219
+ ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ Depletion of Negative Factors
1220
+
1221
+ 306
1222
+ 00:22:11,020 --> 00:22:13,880
1223
+ is required ุชู…ุงู… ุฒูŠ ู…ุง ุชูˆูŠ ุดูˆูู†ุง ุฃู†ู‡ ูŠุตูŠุฑ ููŠู†ุง
1224
+
1225
+ 307
1226
+ 00:22:13,880 --> 00:22:17,440
1227
+ ู…ุซู„ุง Depletion of Negative Factors ุงู„ู„ูŠ ู‡ูŠ ุงู„
1228
+
1229
+ 308
1230
+ 00:22:17,440 --> 00:22:21,360
1231
+ factors ุงู„ู„ูŠ ุจุชู‚ู„ู„ ู…ู† ุนุฏุฏ ุงู„ุฎู„ุงูŠุง ุฒูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ู…ูƒู†
1232
+
1233
+ 309
1234
+ 00:22:21,360 --> 00:22:26,370
1235
+ ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชุนู…ู„ูŠ induction of apoptosisู‡ุคู„ุงุก
1236
+
1237
+ 310
1238
+ 00:22:26,370 --> 00:22:30,190
1239
+ ุงู„ูˆุงู‚ุนุงุช ู‡ูŠ ู†ูˆุนุงุช ู…ู† ุงู„ุฌู† ูˆูƒู„ ุงู„ุฌู„ุฏ ุจุงุณุชุฎุฏุงู… ุงู„ุจูŠุช
1240
+
1241
+ 311
1242
+ 00:22:30,190 --> 00:22:35,650
1243
+ ูˆุฌู„ุฏ ุงู„ู€ Spam ูŠุญุชูˆูŠ ุนู„ู‰ ุงุชูุงู‚ูŠู† ู„ูƒู„ ุฌู† ูˆุจุงู„ุชุงู„ูŠ
1244
+
1245
+ 312
1246
+ 00:22:35,650 --> 00:22:40,510
1247
+ ู‡ู†ุงูƒ ุงุชูุงู‚ูŠู† ู…ุฎุชู„ูุฉ ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1248
+
1249
+ 313
1250
+ 00:22:40,510 --> 00:22:40,790
1251
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1252
+
1253
+ 314
1254
+ 00:22:40,790 --> 00:22:41,910
1255
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1256
+
1257
+ 315
1258
+ 00:22:41,910 --> 00:22:44,490
1259
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ
1260
+
1261
+ 316
1262
+ 00:22:44,490 --> 00:22:53,010
1263
+ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุฌู† ู…ู…ูŠุฒ ู„ู„ุจุฌุงู†ุฏูŠ
1264
+
1265
+ 317
1266
+ 00:22:53,010 --> 00:22:57,730
1267
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ู…ู…ูƒู† ููŠ ุฒูŠุงุฏุฉ ุงู„
1268
+
1269
+ 318
1270
+ 00:22:57,730 --> 00:23:01,370
1271
+ proliferation ู„ ุงู„ุฎู„ุงูŠุง ุนุณุจ ุงู„ู…ุซุงู„ ุฒูŠ ุงู„ุจุฑูˆุชูŠู†ุงุช
1272
+
1273
+ 319
1274
+ 00:23:01,370 --> 00:23:04,130
1275
+ ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ cell cycle ูˆุฏุฎูˆู„
1276
+
1277
+ 320
1278
+ 00:23:04,130 --> 00:23:08,830
1279
+ ุงู„ุฎู„ูŠุฉ ููŠ ุงู†ู‚ุณุงู… ุงู„ุจุฑูˆุชูŠู† ุงู„ product is produced
1280
+
1281
+ 321
1282
+ 00:23:08,830 --> 00:23:12,270
1283
+ in higher quantities or has increased activity
1284
+
1285
+ 322
1286
+ 00:23:12,270 --> 00:23:17,070
1287
+ ุจุฅู…ุง ุจุฒูŠุฏ ุนู†ู‡ุง ู…ู…ูƒู† ุงู„ growth factors ู…ุซู„ุง ุฃูˆ ู…ู…ูƒู†
1288
+
1289
+ 323
1290
+ 00:23:17,070 --> 00:23:21,550
1291
+ ุชุฒูŠุฏ ุนู†ู‡ุง ุงู„ activityand therefore acts in a
1292
+
1293
+ 324
1294
+ 00:23:21,550 --> 00:23:25,710
1295
+ dominant manner to initiate a tumor formation
1296
+
1297
+ 325
1298
+ 00:23:25,710 --> 00:23:30,090
1299
+ ูŠุจุฌู‡ุงู† ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ gene ูˆุงุญุฏ ู…ู† ุงู„ two genes
1300
+
1301
+ 326
1302
+ 00:23:30,090 --> 00:23:34,610
1303
+ ุงู„ู…ูˆุฌูˆุฏูŠู† ู„ูˆ gene ูˆุงุญุฏ ุตุงุฑ ููŠู‡ ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจุฌู‡ ู‡ุฐุง
1304
+
1305
+ 327
1306
+ 00:23:34,610 --> 00:23:38,270
1307
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ cancer ูŠุจุฌู‡ุงู† ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุงู† ุงู„ two
1308
+
1309
+ 328
1310
+ 00:23:38,270 --> 00:23:44,970
1311
+ copies ูŠุตูŠุฑ ููŠู‡ู… ู…ุดูƒู„ุฉ ุชู…ุงู… ูŠุจุฌู‡ุงู† a mutation ููŠ
1312
+
1313
+ 329
1314
+ 00:23:44,970 --> 00:23:51,830
1315
+ gene ูˆุงุญุฏ ู‡ูŠุคุฏูŠ ุฅู„ู‰ ู…ู…ูƒู† ุฒูŠุงุฏุฉุงู„ูƒู…ูŠุงุช ุฃูˆ ู…ู…ูƒู† ูŠุตูŠุฑ
1316
+
1317
+ 330
1318
+ 00:23:51,830 --> 00:23:55,350
1319
+ ููŠ ุนู†ุฏู†ุง imitation ูˆุชุฒูŠุฏ ุงู„ activity ู„ู‡ุฐุง
1320
+
1321
+ 331
1322
+ 00:23:55,350 --> 00:23:59,710
1323
+ ุงู„ุจุฑูˆุชูŠู†ูˆ ูˆุจุงู„ุชุงู„ูŠ ุนุดุงู† ู‡ูŠู‚ูˆู„ู†ุง they act in a
1324
+
1325
+ 332
1326
+ 00:23:59,710 --> 00:24:02,990
1327
+ dominant manner to initiate tumor formation a
1328
+
1329
+ 333
1330
+ 00:24:02,990 --> 00:24:06,770
1331
+ mutation in only one allele is sufficient for an
1332
+
1333
+ 334
1334
+ 00:24:06,770 --> 00:24:11,390
1335
+ effect ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ specific growth factor ุฃูˆ growth
1336
+
1337
+ 335
1338
+ 00:24:11,390 --> 00:24:14,850
1339
+ factor receptor ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation
1340
+
1341
+ 336
1342
+ 00:24:14,850 --> 00:24:21,720
1343
+ ููŠ growth factorููŠ one ู‚ู„ูŠู„ ุชู…ุงู… ูŠุจู‚ู‰ ู…ุนู†ุงุชู‡ ู‡ูŠุตูŠุฑ
1344
+
1345
+ 337
1346
+ 00:24:21,720 --> 00:24:25,680
1347
+ ููŠ ุนู†ุฏูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ูƒู…ูŠุงุช ู…ู† ุงู„ growth factor ุงู„ู„ูŠ
1348
+
1349
+ 338
1350
+ 00:24:25,680 --> 00:24:30,420
1351
+ ุจุชู†ุชุฌ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ููŠ ุงู„ signals ุงู„ู„ูŠ ุจุชุตู„ ู„ุฎู„ูŠุฉ
1352
+
1353
+ 339
1354
+ 00:24:30,420 --> 00:24:33,100
1355
+ ู„ุฏุฎูˆู„ ุจ cell cycle ูˆุจุงู„ุชุงู„ูŠ ุจุฒูŠุฏ cell
1356
+
1357
+ 340
1358
+ 00:24:33,100 --> 00:24:37,040
1359
+ proliferation ุฃูŠุถู‹ุง ุงู„ growth factor receptor ุจุฑุถู‡
1360
+
1361
+ 341
1362
+ 00:24:37,040 --> 00:24:40,660
1363
+ ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ุณุงุจู‚ู‹ุง ุฃู†ู‡ ุฒูŠุงุฏุฉ ู…ู…ูƒู† ููŠ ุงู„ receptor
1364
+
1365
+ 342
1366
+ 00:24:40,660 --> 00:24:43,920
1367
+ ู…ุนู†ุงุชู‡ ุจูŠุฎู„ูŠ ุนู†ุฏูŠ ุญุชู‰ very low concentrations of
1368
+
1369
+ 343
1370
+ 00:24:43,920 --> 00:24:47,860
1371
+ growth factor ุจูŠุฎู„ูŠ ุงู„ุฎู„ูŠุฉ ุชุณุชุฌูŠุจูˆุจุงู„ุชุงู„ูŠ ุงู„ุฎู„ูŠุฉ
1372
+
1373
+ 344
1374
+ 00:24:47,860 --> 00:24:51,820
1375
+ ุชุฏุฎู„ ุจุฑุถู‡ ุจู€ cell cycle ูˆ proliferation ุจุงู„ู†ุณุจุฉ
1376
+
1377
+ 345
1378
+ 00:24:51,820 --> 00:24:54,780
1379
+ ู„ู‡ุง ุงู„ tumor subresor genes code for proteins that
1380
+
1381
+ 346
1382
+ 00:24:54,780 --> 00:24:58,660
1383
+ play a role in inhibiting both growth and tumor
1384
+
1385
+ 347
1386
+ 00:24:58,660 --> 00:25:02,780
1387
+ formation ููŠ ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ูŠู†ุชุฌ ุนู†ู‡ุง ุจุฑูˆุชูŠู†ุงุช ุจุชู…ู†ุน
1388
+
1389
+ 348
1390
+ 00:25:02,780 --> 00:25:06,280
1391
+ ู…ู† ุญุฏูˆุซ ุงู„ cancer ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุซุงู„ ุงู„
1392
+
1393
+ 349
1394
+ 00:25:06,280 --> 00:25:11,920
1395
+ B53 ูˆ ุฃูŠุถุง ุฃู† ูŠุนุชุจุฑ tumor subresor gene ุจุฑุถู‡ ุงู„ู„ูŠ
1396
+
1397
+ 350
1398
+ 00:25:11,920 --> 00:25:16,890
1399
+ ู‡ูˆ ุงู„ Bracaู„ุฃู† ู„ู‡ู… ุนู„ุงู‚ุฉ ููŠ ุงู„ repair mechanisms
1400
+
1401
+ 351
1402
+ 00:25:16,890 --> 00:25:19,390
1403
+ ู„ุฐู„ูƒ ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู† ูŠุจู‚ู‰ ุฏูˆู„ ูŠุนุชุจุฑ ุชูŠูˆุจุฑ
1404
+
1405
+ 352
1406
+ 00:25:19,390 --> 00:25:23,110
1407
+ ุณุงุจุฑูŠู‡ูŠ ุตุงุฑ genes ุทูŠุจ loss of growth inhibition
1408
+
1409
+ 353
1410
+ 00:25:23,110 --> 00:25:26,010
1411
+ occurs when mutations cause a loss of function of
1412
+
1413
+ 354
1414
+ 00:25:26,010 --> 00:25:28,770
1415
+ these genes ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ุนู†ุฏู†ุง loss of growth
1416
+
1417
+ 355
1418
+ 00:25:28,770 --> 00:25:33,310
1419
+ inhibition ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠ ุฃู†ู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ two
1420
+
1421
+ 356
1422
+ 00:25:33,310 --> 00:25:36,890
1423
+ genes ูŠุจู‚ู‰ ุจุฏู‡ ูŠุตูŠุฑ ููŠ ุฃู† ุฏูŠ ุงูŠุงุด loss of function
1424
+
1425
+ 357
1426
+ 00:25:37,670 --> 00:25:41,790
1427
+ ูŠุญุตู„ ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ two genes ุนุดุงู† ู‡ูŠูƒ ุงู„ tumor
1428
+
1429
+ 358
1430
+ 00:25:41,790 --> 00:25:46,270
1431
+ suppressor mutations are mainly recessive in
1432
+
1433
+ 359
1434
+ 00:25:46,270 --> 00:25:50,970
1435
+ nature ูŠุจู‚ู‰ they are mainly recessive in nature
1436
+
1437
+ 360
1438
+ 00:25:50,970 --> 00:25:54,930
1439
+ because one intact allele is usually sufficient to
1440
+
1441
+ 361
1442
+ 00:25:54,930 --> 00:25:59,540
1443
+ inhibitูŠุจู‚ู‰ ู‡ู†ุง ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ mutation ููŠ ุฌูŠู†
1444
+
1445
+ 362
1446
+ 00:25:59,540 --> 00:26:04,880
1447
+ ูˆุงุญุฏ ูู‚ุท ุชู…ุงู… ูˆุงู„ุฌูŠู† ุงู„ุขุฎุฑ ุณู„ูŠู… ุงู„ุฌูŠู† ุงู„ุขุฎุฑ ู…ู…ูƒู†
1448
+
1449
+ 363
1450
+ 00:26:04,880 --> 00:26:08,820
1451
+ ูŠู†ุชุฌ ุนู†ุฏู‰ ุจุฑูˆุชูŠู†ุงุช ูˆุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ูƒุงููŠุฉ ุงู†ู‡ุง ุชู‚ูˆู…
1452
+
1453
+ 364
1454
+ 00:26:08,820 --> 00:26:14,860
1455
+ ููŠ ุงู„ูˆุธูŠูุฉ ูˆุชุนู…ู„ suppression ู„ูˆุญุฏูˆุซ ุงู„ cancerุนุดุงู†
1456
+
1457
+ 365
1458
+ 00:26:14,860 --> 00:26:17,920
1459
+ ู‡ูŠู‚ูˆู„ู†ุง ุงู† ู‡ู‰ mainly recessive ูŠุนู†ูŠ ู„ุงุฒู… ูŠุตูŠุฑ ุนู†ุฏูŠ
1460
+
1461
+ 366
1462
+ 00:26:17,920 --> 00:26:23,160
1463
+ mutation ููŠ ุงู„ two alleles thus both alleles of
1464
+
1465
+ 367
1466
+ 00:26:23,160 --> 00:26:25,500
1467
+ the gene must be mutated before the loss of
1468
+
1469
+ 368
1470
+ 00:26:25,500 --> 00:26:29,900
1471
+ mutation is actually seen phenotypically ู„ุงุฒู… ูŠุตูŠุฑ
1472
+
1473
+ 369
1474
+ 00:26:29,900 --> 00:26:34,750
1475
+ ููŠู‡ ู…ุดูƒู„ุฉ ููŠ ุงู„ two allelesุงู„ูˆุซูŠู‚ุฉ ุงู„ุฃุฎูŠุฑุฉ ุชุดูŠุฑ
1476
+
1477
+ 370
1478
+ 00:26:34,750 --> 00:26:39,130
1479
+ ุฅู„ู‰ ุฃู† ู‡ู†ุงูƒ ู…ูŠูƒุงู†ูŠุฒู… ู…ุฎุชู„ู ู„ุดุฎุตูŠุฉ ุงู„ู‡ูŠูˆู…ุฑ ุณุงุจุฑูŠูƒุณ
1480
+
1481
+ 371
1482
+ 00:26:39,130 --> 00:26:43,150
1483
+ ู‡ุฑุฌูŠู†ุณ ูŠุณู…ู‰ Haploinsufficiency ูˆุทุจุนุงู‹ ุจุฑุถู‡ ู…ู†
1484
+
1485
+ 372
1486
+ 00:26:43,150 --> 00:26:48,190
1487
+ ุงู„ุฏุฑุงุณุงุช ุงู„ู„ูŠ ุชู…ุช ูˆุงู„ุชู„ุงู‚ู„ ุงู„ู„ูŠ ุงู„ุขู† ู…ูˆุฌูˆุฏุฉ ุฃู†ู‡
1488
+
1489
+ 373
1490
+ 00:26:48,190 --> 00:26:52,550
1491
+ ู…ู…ูƒู† ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏูŠ ููŠ ุงู„ tumor saprisargin
1492
+
1493
+ 374
1494
+ 00:26:52,550 --> 00:26:57,690
1495
+ mutation ููŠ one allele onlyู‡ุฐุง ู…ุนู†ุงุชู‡ ู…ู…ูƒู† ูŠุคุฏูŠ
1496
+
1497
+ 375
1498
+ 00:26:57,690 --> 00:27:01,810
1499
+ ุฃูŠุถู‹ุง ุฅู„ู‰ ุญุฏูˆุซ cancer ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ุง
1500
+
1501
+ 376
1502
+ 00:27:01,810 --> 00:27:05,690
1503
+ haploinsufficiency ุชู…ุงู…ุŸ ูˆ ุจุงู„ู€ haploinsufficiency
1504
+
1505
+ 377
1506
+ 00:27:05,690 --> 00:27:11,070
1507
+ one mutated allele can lead to the cancer
1508
+
1509
+ 378
1510
+ 00:27:11,070 --> 00:27:18,090
1511
+ phenotype ู„ูŠุดุŸ ู„ุฃู† ุนุดุงู† ุงู„ูˆุธูŠูุฉ ุนู†ุฏู†ุง ุชุชู… ู„ุงุฒู… ูƒู†ุง
1512
+
1513
+ 379
1514
+ 00:27:18,090 --> 00:27:24,790
1515
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุงูˆูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ู‡ุงุฏ ุจุชู†ุชุฌ
1516
+
1517
+ 380
1518
+ 00:27:24,790 --> 00:27:27,770
1519
+ ู…ู† ุงู„ both alleles ูŠุจู‚ู‰ ู„ุงุฒู… ุงู„ both alleles
1520
+
1521
+ 381
1522
+ 00:27:27,770 --> 00:27:31,670
1523
+ ูŠูƒูˆู†ูˆุง ูุนุงู„ูŠู† ู…ุงููŠุด ููŠู‡ู… mutations ุนุดุงู† ูŠู†ุชุฌูˆุง
1524
+
1525
+ 382
1526
+ 00:27:31,670 --> 00:27:35,630
1527
+ ุนู†ุฏู†ุง ูƒู…ูŠุฉ ู…ู† ุงู„ุจุฑูˆุชูŠู† ูˆ ุงู„ุจุฑูˆุชูŠู† ู‡ุงุฏ ุชูƒูˆู† ูƒุงููŠุฉ
1528
+
1529
+ 383
1530
+ 00:27:35,630 --> 00:27:40,050
1531
+ ู„ุฃุฏุงุก ุงู„ function ุงู„ู„ูŠ ู‡ูŠ tumor suppression ุทุจ ู„ูˆ
1532
+
1533
+ 384
1534
+ 00:27:40,050 --> 00:27:44,470
1535
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutation ููŠ ุฌูŠู† ูˆุงุญุฏ ุชู…ุงู… ููŠ ู‚ู„ูŠู„
1536
+
1537
+ 385
1538
+ 00:27:44,470 --> 00:27:49,470
1539
+ ูˆุงุญุฏ ูŠุจู‚ู‰ ุงู„ุขู† ู‡ูŠุถู„ ุนู†ุฏู†ุง ูˆุงุญุฏ ุณู„ูŠู…ู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง
1540
+
1541
+ 386
1542
+ 00:27:49,470 --> 00:27:54,170
1543
+ ูˆุงุญุฏ ุฌูŠู† ุณู„ูŠู… ูˆู‡ูŠู†ุชุฌ ุงู„ุจุฑูˆุชูŠู† ู„ูƒู† ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง
1544
+
1545
+ 387
1546
+ 00:27:54,170 --> 00:27:58,810
1547
+ ูƒู…ูŠุชู‡ ุบูŠุฑ ูƒุงููŠุฉ ู„ุฅุญุฏุงุซ ุฃูˆ ู„ุฃุฏุงุก ุงู„ function
1548
+
1549
+ 388
1550
+ 00:27:58,810 --> 00:28:02,910
1551
+ ุงู„ู…ุทู„ูˆุจุฉ ู…ู†ู‡ ูˆู‡ูŠ ุงู„ tumor suppression ูˆู‡ุฐุง ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:28:02,910 --> 00:28:07,530
1555
+ ุจู†ุณู…ูŠ himploinsufficiency the term suggests one
1556
+
1557
+ 390
1558
+ 00:28:07,530 --> 00:28:12,110
1559
+ normal allele produces half of the quantity of
1560
+
1561
+ 391
1562
+ 00:28:12,110 --> 00:28:15,270
1563
+ protein product produced by normal cells and this
1564
+
1565
+ 392
1566
+ 00:28:15,270 --> 00:28:18,800
1567
+ is not enough to suppress tumor formationin these
1568
+
1569
+ 393
1570
+ 00:28:18,800 --> 00:28:24,220
1571
+ cases ู‡ุฐุง ุงู„ figure ูŠุนู†ูŠ ุจูˆุถุญ ุงู„ insufficiency
1572
+
1573
+ 394
1574
+ 00:28:24,220 --> 00:28:29,500
1575
+ ุชู…ุงู… ุฅุฐุง ูƒุงู† ุนู†ุฏู†ุง both alleles ุณุงู„ู…ูŠู† wild type
1576
+
1577
+ 395
1578
+ 00:28:29,500 --> 00:28:32,480
1579
+ ูŠุจู‚ู‰ ูƒู…ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ protein ุงู„ู„ูŠ ู‡ุชู†ุชุฌ ู‡ุชูƒูˆู†
1580
+
1581
+ 396
1582
+ 00:28:32,480 --> 00:28:37,320
1583
+ ูƒุงููŠุฉ ูˆ ู‡ูŠุนุทูŠู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ phenotype ู‡ุชูƒูˆู† wild
1584
+
1585
+ 397
1586
+ 00:28:37,320 --> 00:28:42,190
1587
+ type ุดุฎุต ุทุจูŠุนูŠ ู…ุงููŠุด ููŠู‡ ู…ุดูƒู„ุฉุทูŠุจ ู„ูˆ ูƒุงู† ููŠ ุนู†ุฏู†ุง
1588
+
1589
+ 398
1590
+ 00:28:42,190 --> 00:28:47,330
1591
+ ู†ู‚ุต ู„ .. ุงูˆ ู…ุดูƒู„ุฉ ููŠ ุงู„ .. ุงู„ two alleles ูŠุจู‚ู‰ ู‡ุฐุง
1592
+
1593
+ 399
1594
+ 00:28:47,330 --> 00:28:51,630
1595
+ ู‡ูŠุคุฏูŠ ุฅู„ู‰ mutant ุงู„ู„ูŠ ู‡ูˆ phenotype mutant ูŠุจู‚ู‰
1596
+
1597
+ 400
1598
+ 00:28:51,630 --> 00:28:54,830
1599
+ ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ูˆ ุทุจุนุง ุงุญู†ุง ุจู‡ุฐุง ุงู„ุญุงู„ุฉ ุจู†ุญูƒูŠ
1600
+
1601
+ 401
1602
+ 00:28:54,830 --> 00:28:59,750
1603
+ ุนู„ู‰ cancer ุฃูˆ ุงุฐุง ูƒุงู† .. ูƒุงู† ููŠ ุนู†ุฏูŠ ูู‚ุท one wild
1604
+
1605
+ 402
1606
+ 00:28:59,750 --> 00:29:04,040
1607
+ geneุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุงู„ dose ุฃูˆ ุงู„ู„ูŠ ูƒู…ูŠุฉ ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ
1608
+
1609
+ 403
1610
+ 00:29:04,040 --> 00:29:08,600
1611
+ ู‡ุชู†ุชุฌ ู‡ุชูƒูˆู† inadequate ูˆ ุงู„ู†ุชูŠุฌุฉ ุจุฑุถู‡ ูˆุงุญุฏุฉ ู‡ูŠุคุฏูŠ
1612
+
1613
+ 404
1614
+ 00:29:08,600 --> 00:29:13,380
1615
+ ุฅู„ู‰ mutant phenotype ุทูŠุจ ุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ ููŠ ู‡ุฐู‡
1616
+
1617
+ 405
1618
+ 00:29:13,380 --> 00:29:16,780
1619
+ ุงู„ู…ุญุงุถุฑุฉ influential factors in human
1620
+
1621
+ 406
1622
+ 00:29:16,780 --> 00:29:20,340
1623
+ carcinogenesis ุงุญู†ุง ุดูˆูู†ุง ุงู†ู‡ ุงู„ genome ูˆ ุงู„
1624
+
1625
+ 407
1626
+ 00:29:20,340 --> 00:29:23,620
1627
+ mutations ุงู„ู„ูŠ ุจุชุณูŠุฑ ููŠ ุงู„ genome ุจุชู„ุนุจ ุฏูˆุฑ ุทุจุนุง
1628
+
1629
+ 408
1630
+ 00:29:23,620 --> 00:29:28,860
1631
+ ู…ู‡ู… ููŠุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ carcinogenesis ุทูŠุจ ุงู„ุขู† ููŠ
1632
+
1633
+ 409
1634
+ 00:29:28,860 --> 00:29:33,040
1635
+ ุนู†ุง ุงู„ู„ูŠ ู‡ูŠ factors ุฃุฎุฑู‰ ุงู„ factors ู‡ุฐู‡ ู…ู…ูƒู† ุชุฒูŠุฏ
1636
+
1637
+ 410
1638
+ 00:29:33,040 --> 00:29:39,300
1639
+ ุงู„ risk ู„ ุงู„ cancer ูˆ ู…ู† ู‡ุฐู‡ ุงู„ factors ุงู„ู„ูŠ ู‡ูŠ
1640
+
1641
+ 411
1642
+ 00:29:39,300 --> 00:29:42,760
1643
+ ุงู„ู…ุคุซุฑุฉ ููŠ ุนู†ุง ุงู„ environment ุงู„ reproductive life
1644
+
1645
+ 412
1646
+ 00:29:42,760 --> 00:29:46,660
1647
+ ุงู„ diet smoking ู‡ุฏูˆู„ four factors that play an
1648
+
1649
+ 413
1650
+ 00:29:46,660 --> 00:29:52,220
1651
+ important role in carcinogenesis ูˆ ู‡ุฏูˆู„ ุงู„ factors
1652
+
1653
+ 414
1654
+ 00:29:52,220 --> 00:29:58,480
1655
+ ูุนู„ูŠุง they can be alteredูŠู…ูƒู† ูุนู„ูŠู‹ุง ุชู… ุชุบูŠูŠุฑู‡ู…
1656
+
1657
+ 415
1658
+ 00:29:58,480 --> 00:30:03,020
1659
+ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ู†ู‚ู„ู„ ุงู„ู„ูŠ ู‡ูˆ ุฃูˆ ู†ู‚ู„ู„ ุงู„ risk ู„ู„ุฅุตุงุจุฉ
1660
+
1661
+ 416
1662
+ 00:30:03,020 --> 00:30:07,500
1663
+ ุจุงู„cancer exposure to carcinogens ู…ู† ุฎู„ุงู„ ุงู„ู„ูŠ ู‡ูˆ
1664
+
1665
+ 417
1666
+ 00:30:07,500 --> 00:30:10,860
1667
+ ุงู„ environment hormonal modifications influenced
1668
+
1669
+ 418
1670
+ 00:30:10,860 --> 00:30:14,680
1671
+ by childbirth and birth control exposure to
1672
+
1673
+ 419
1674
+ 00:30:14,680 --> 00:30:19,840
1675
+ viruses underlie these lifestyle factors ุทูŠุจ
1676
+
1677
+ 420
1678
+ 00:30:19,840 --> 00:30:25,720
1679
+ ุงู„ู…ุคุซุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ environmentุชุฌุงุฑุจ ุจุฑูŠุทุงู†ูŠุฉ
1680
+
1681
+ 421
1682
+ 00:30:25,720 --> 00:30:30,260
1683
+ ุจุฑูŠุทุงู†ูŠุฉ ููŠ ุนุงู… 1775 ุชู†ุชู‡ูŠ ููŠ ุฃูˆู„ ุงุชุตุงู„ ุจูŠู† ู…ุฌู„ุฏ
1684
+
1685
+ 422
1686
+ 00:30:30,260 --> 00:30:33,640
1687
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1688
+
1689
+ 423
1690
+ 00:30:33,640 --> 00:30:34,360
1691
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1692
+
1693
+ 424
1694
+ 00:30:34,360 --> 00:30:37,300
1695
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1696
+
1697
+ 425
1698
+ 00:30:37,300 --> 00:30:37,760
1699
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1700
+
1701
+ 426
1702
+ 00:30:37,760 --> 00:30:38,520
1703
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1704
+
1705
+ 427
1706
+ 00:30:38,520 --> 00:30:46,500
1707
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
1708
+
1709
+ 428
1710
+ 00:30:46,500 --> 00:30:53,060
1711
+ ู…
1712
+
1713
+ 429
1714
+ 00:30:53,870 --> 00:30:57,410
1715
+ ูŠุจู‚ู‰ ู„ุฌุฃ ุฃู†ู‡ ุงู„ู†ุงุณ ุฃูˆ ุงู„ุนู…ุงู„ ุงู„ู„ูŠ ุจูŠุดุชุบู„ูˆุง ููŠ
1716
+
1717
+ 430
1718
+ 00:30:57,410 --> 00:31:02,190
1719
+ ุชู†ุธูŠู ู…ุฏุงุฎู† ุฏูุงูŠุงุช ู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุดุชุบู„ ุนู„ู‰ ุงู„ุญุทุจ ูˆููŠู‡ุง
1720
+
1721
+ 431
1722
+ 00:31:02,190 --> 00:31:06,370
1723
+ ุงู„ู„ูŠ ุจุชูƒูˆู† ุงู„ู…ุฏุฎู†ุฉ ุงู‡ ูููŠ ุนู…ุงู„ ุงู„ู„ูŠ ุจู†ุทููˆ ุงู„ู…ุฏุงุฎู†
1724
+
1725
+ 432
1726
+ 00:31:06,370 --> 00:31:11,310
1727
+ ู…ู† ุงู„ู‡ุจุงุจ ุงู„ู„ูŠ ู‡ุฐุง ุจุชุฑุงูƒู… ูˆ ุงู„ู„ูŠ ุจุชุฌู…ุน ุฎู„ุงู„ ุงู„ู„ูŠ
1728
+
1729
+ 433
1730
+ 00:31:11,310 --> 00:31:16,590
1731
+ ู‡ูˆ ุทุจุนุง ุงู„ุญุฑู‚ ู„ุฃุฎุดุงุจ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ูŠุจู‚ู‰ ู„ุฌุฃ ุฃู†ู‡ ู‡ุฏูˆู„
1732
+
1733
+ 434
1734
+ 00:31:16,590 --> 00:31:20,610
1735
+ ุงู„ุนู…ุงู„ ููŠ ุนู†ุฏู‡ู… high incidence of nasal cancer ูˆ
1736
+
1737
+ 435
1738
+ 00:31:20,610 --> 00:31:25,830
1739
+ ู‡ุฐุง ูƒุงู† ุฃูˆู„ ุฑุงุจุท ุจูŠู† ุงู„ environmentูˆุจูŠู† ุญุฏูˆุซ ุงู„ู€
1740
+
1741
+ 436
1742
+ 00:31:25,830 --> 00:31:30,670
1743
+ cancer a unprotected exposure to sun exposes the
1744
+
1745
+ 437
1746
+ 00:31:30,670 --> 00:31:35,850
1747
+ skin to UVB radiation which can directly alter the
1748
+
1749
+ 438
1750
+ 00:31:35,850 --> 00:31:39,310
1751
+ DNA by forming pyrimidine dimers and cause
1752
+
1753
+ 439
1754
+ 00:31:39,310 --> 00:31:43,290
1755
+ imitations ูˆู‡ุฐุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุจุชูุตูŠู„ ููŠ ุงู„ู…ุญุงุถุฑุงุช
1756
+
1757
+ 440
1758
+ 00:31:43,290 --> 00:31:46,970
1759
+ ุงู„ู‚ุงุฏู…ุฉ ุฃูŠุถุง ุงู† reproductive life another ill
1760
+
1761
+ 441
1762
+ 00:31:46,970 --> 00:31:50,730
1763
+ observation was that nuns are more likely to
1764
+
1765
+ 442
1766
+ 00:31:50,730 --> 00:31:54,150
1767
+ develop breast cancer than other womenู„ุงุญุธูˆุง
1768
+
1769
+ 443
1770
+ 00:31:54,150 --> 00:31:58,910
1771
+ ุจุฑุงู‡ุจุงุช ุงู„ู„ูŠ ุจูŠุชุฒูˆุฌูˆุด ู„ุงุฌูˆุง ุฃู†ู‡ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู‡ู…
1772
+
1773
+ 444
1774
+ 00:31:58,910 --> 00:32:03,870
1775
+ cancer ุทุจุนุง ูŠุนู†ูŠ ุจู†ุณุจุฉ ุฃุนู„ู‰ ู…ู† ุงู„ู†ุณุงุก ุงู„ู…ุชุฒูˆุฌุงุช
1776
+
1777
+ 445
1778
+ 00:32:03,870 --> 00:32:10,210
1779
+ ูˆุงู„ุฃู† ุตุงุฑ ููŠู‡ ุทุจุนุง ุงู†ู‡ ูŠุนู†ูŠ ุฏู„ูŠู„ ู„ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ we
1780
+
1781
+ 446
1782
+ 00:32:10,210 --> 00:32:12,870
1783
+ now know that having children reduces breast
1784
+
1785
+ 447
1786
+ 00:32:12,870 --> 00:32:16,150
1787
+ cancer risk for women compared with not having
1788
+
1789
+ 448
1790
+ 00:32:16,150 --> 00:32:20,860
1791
+ childrenุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ูˆู‚ุช ุงู„ุญูŠูˆุงู†ุงุช ู„ู„ู…ุฑุฉ
1792
+
1793
+ 449
1794
+ 00:32:20,860 --> 00:32:24,740
1795
+ ุงู„ุฃูˆู„ู‰ ูˆุงู„ุณู†ุฉ ู„ู„ุฃู…ุฑุฃุฉ ููŠ ุงู„ุงู†ุชุดุงุฑ ูˆุงู„ุงู†ุชู‡ุงุก ู…ู†
1796
+
1797
+ 450
1798
+ 00:32:24,740 --> 00:32:28,180
1799
+ ุณู„ุณู„ุงุชู‡ุง ุงู„ู‡ูŠุฑู…ูˆู†ูŠุณุชุฑุงู„ูŠุฉ ุฃูŠุถู‹ุง ุชุฃุซูŠุฑ ุนู„ู‰ ุญุฑุงุฑุฉ
1800
+
1801
+ 451
1802
+ 00:32:28,180 --> 00:32:33,420
1803
+ ุงู„ุญุฑุงุฑุฉูŠุจู‚ู‰ ูƒู…ุงู† ุงู„ู„ูŠ ู‡ูˆ ุนู…ุฑ ุงู„ู…ุฑุฃุฉ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡
1804
+
1805
+ 452
1806
+ 00:32:33,420 --> 00:32:37,820
1807
+ ุฅู†ู‡ ุฃูˆู„ ุญู…ู„ ูˆ ุฃูŠุถู‹ุง ุจุฑุถู‡ ุฅู…ุชู‰ ุตุงุฑ ููŠู‡ ุฅู†ู‡ ูŠุนู†ูŠ
1808
+
1809
+ 453
1810
+ 00:32:37,820 --> 00:32:44,840
1811
+ ุงู†ู‚ุทุงุน ู„ู„ุฏูˆุฑุฉ ูˆ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ุงู„ู„ูŠ ุงุชุนุฑุถุช ููŠู‡ู…
1812
+
1813
+ 454
1814
+ 00:32:44,840 --> 00:32:49,200
1815
+ ุงู„ู…ุฑุฃุฉ ู„ู„ู‡ุฑู…ูˆู†ุงุช ู‡ุฏูˆู„ ุจุฑุถู‡ ุทุจุนู‹ุง ุจูŠู„ุนุจูˆุง ุฏูˆุฑ ููŠ
1816
+
1817
+ 455
1818
+ 00:32:49,200 --> 00:32:53,500
1819
+ ู…ูˆุถูˆุน ุงู„ cancer ูˆุญุฏูˆุซ ุงู„ cancer ูŠุจู‚ู‰ ูƒูŠู ู‡ุฐู‡
1820
+
1821
+ 456
1822
+ 00:32:53,500 --> 00:32:58,300
1823
+ ู„ุงุญุธูˆู‡ุงfeel stomach cancer is a predominant cancer
1824
+
1825
+ 457
1826
+ 00:32:58,300 --> 00:33:01,900
1827
+ in the Japanese population ู†ุณุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ stomach
1828
+
1829
+ 458
1830
+ 00:33:01,900 --> 00:33:08,480
1831
+ cancer ููŠ ุงู„ูŠุงุจุงู† ุนุงู„ูŠุฉูˆ ุทุจุนุง ู‡ุฐู‡ ู…ุฑุชุจุทุฉ ููŠ ุงู„ุนุฏุงุช
1832
+
1833
+ 459
1834
+ 00:33:08,480 --> 00:33:14,020
1835
+ ุงู„ุบุฐุงุฆูŠุฉ ู„ู„ูŠุงุจุงู†ูŠูŠู† ูŠุจู‚ู‰ ุงู„ stomach cancer ููŠ ุงู„
1836
+
1837
+ 460
1838
+ 00:33:14,020 --> 00:33:17,240
1839
+ Japanese population ุนุงู„ูŠุฉ ูˆ minor cancer in the
1840
+
1841
+ 461
1842
+ 00:33:17,240 --> 00:33:21,700
1843
+ population of USA ู„ูƒู† ููŠ ุฃู…ุฑูŠูƒุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุนุฏุงุฏ
1844
+
1845
+ 462
1846
+ 00:33:21,700 --> 00:33:25,500
1847
+ ู‚ู„ูŠู„ุฉ ู„ู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠูˆุตุจูˆุง ุจุงู„ stomach cancer ุงู„ุขู†
1848
+
1849
+ 463
1850
+ 00:33:25,500 --> 00:33:28,100
1851
+ ูƒูŠู .. ูƒูŠู ุฑุงุจุทูˆุง ุงู„ู„ูŠ ู‡ูˆ ู…ูˆุถูˆุน ุงู„ diet ุจูŠู‡ ุงู„ู„ูŠ
1852
+
1853
+ 464
1854
+ 00:33:28,100 --> 00:33:31,020
1855
+ ู‡ูˆ ุงู„ .. ุงู„ cancer ู…ู† ุฎู„ุงู„ ุทุจุนุง ุงู„ .. ุงู„ู†ุงุณ ุงู„ู„ูŠ
1856
+
1857
+ 465
1858
+ 00:33:31,020 --> 00:33:34,550
1859
+ ุจุชู‡ุงุฌุฑู„ู‚ูˆุง ุฅู†ู‡ ุงู„ู€ risk of stomach cancer in
1860
+
1861
+ 466
1862
+ 00:33:34,550 --> 00:33:37,110
1863
+ Japanese people who have migrated to the USA
1864
+
1865
+ 467
1866
+ 00:33:37,110 --> 00:33:42,370
1867
+ decreases only if they adopt American diet but not
1868
+
1869
+ 468
1870
+ 00:33:42,370 --> 00:33:46,550
1871
+ if they retain a Japanese diet ูŠุจู‚ู‰ ุงู„ูŠุงุจุงู†ูŠูŠู†
1872
+
1873
+ 469
1874
+ 00:33:46,550 --> 00:33:52,400
1875
+ ุงู„ู„ูŠ ู‡ุงุฌุฑูˆุง ู„ุฃู…ุฑูŠูƒุง ูˆุถู„ู‡ู… ู…ู„ุชุฒู…ูŠู† ุจุนุฏุงุชู‡ู… ุงู„ุบุฐุงุฆูŠุฉ
1876
+
1877
+ 470
1878
+ 00:33:52,400 --> 00:33:58,460
1879
+ ูˆุจุฃู†ูˆุงุน ุงู„ุทุนุงู… ุงู„ู„ูŠ ุจูŠุชู†ุงูˆู„ูˆู‡ุง ู‡ุฏูˆู„ ุถู„ุช ุนู†ุฏู‡ู… ู†ุณุจุฉ
1880
+
1881
+ 471
1882
+ 00:33:58,460 --> 00:34:03,560
1883
+ ุงู„ุฅุตุงุจุฉ ุจุงู„ stomach cancer ุจุฑุถู‡ ู…ุฑุชูุนุฉ ู„ูƒู†
1884
+
1885
+ 472
1886
+ 00:34:03,560 --> 00:34:09,040
1887
+ ุงู„ูŠุงุจุงู†ูŠูŠู† ุงู„ู„ูŠ ุบูŠุฑูˆุง ุนุฏุงุฏ ุฃูƒู„ู‡ู… ูˆุตุงุฑุช ุนุฏุงุฏ ุฃูƒู„ู‡ู…
1888
+
1889
+ 473
1890
+ 00:34:09,420 --> 00:34:13,420
1891
+ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนุฏุงุฏ ุงู„ุฃูƒู„ ุงู„ุฃู…ุฑูŠูƒูŠูŠู† ู‡ุฏูˆู„ ู„ุฌูˆุง ุฅู†ู‡
1892
+
1893
+ 474
1894
+ 00:34:13,420 --> 00:34:18,420
1895
+ ุงู†ุฎูุถุช ุนู†ุฏู‡ู… ุงู„ู„ูŠ ู‡ูˆ ู…ุนุฏู„ ุงู„ุฅุตุงุจุฉ ุจุงู„ู€ Stomach
1896
+
1897
+ 475
1898
+ 00:34:18,420 --> 00:34:23,840
1899
+ Cancer ุจู‡ุฐุง ุฏู„ูŠู„ ุจูŠุฑุจุท ุจูŠู† ุงู„ diet ูˆ ุงู„ุนุฏุงุฏ ุงู„ู„ูŠ
1900
+
1901
+ 476
1902
+ 00:34:23,840 --> 00:34:27,960
1903
+ ู‡ูˆ ุงู„ุบุฐุงุฆูŠุฉ ุนู†ุฏ ุงู„ุดุนูˆุจ ุฃูŠุถู‹ุง ูˆ ุงู„ุฅุตุงุจุฉ ุจุงู„ู€ Cancer
1904
+
1905
+ 477
1906
+ 00:34:27,960 --> 00:34:32,150
1907
+ ุฃูŠุถู‹ุง ู…ู† ุงู„ุนูˆุงู…ู„ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ alcoholูƒุงู†
1908
+
1909
+ 478
1910
+ 00:34:32,150 --> 00:34:36,470
1911
+ ุชุณู…ู‰ ูƒุฌู†ุฉ ูƒุงุฑุณูŠู†ูŠุฉ ู…ู† ู…ุฌู„ุณ ุงู„ุฏูˆู„ุฉ ู„ู„ุจุญุซ ุนู† ุงู„ู‚ู†ุตุฑ
1912
+
1913
+ 479
1914
+ 00:34:36,470 --> 00:34:41,770
1915
+ ููŠ 2007 ูˆ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ู…ุฏู…ู†ูŠู† ูƒุญูˆู„ ูˆ ุจูŠู†ุงูˆู„ูˆุง ูƒุญูˆู„
1916
+
1917
+ 480
1918
+ 00:34:41,770 --> 00:34:46,470
1919
+ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ููŠ ุงู†ู‡ .. ูŠุนู†ูŠ ุตุงุฑ ููŠ ุฃุฏู„ุฉ ู…ูˆุฌูˆุฏุฉ ุงู†ู‡
1920
+
1921
+ 481
1922
+ 00:34:46,470 --> 00:34:49,970
1923
+ ู…ู…ูƒู† ูŠุตุงุจูˆุง ุจุฃูƒุชุฑ ู…ู† ู†ูˆุน ู…ู† ุฃู†ูˆุงุน ุงู„ cancer ุงู„ู„ูŠ
1924
+
1925
+ 482
1926
+ 00:34:49,970 --> 00:34:54,110
1927
+ ู…ู†ู‡ุง ุงู„ mouth, esophagus, breast ูˆ ุฃูŠุถุง ู…ู…ูƒู† liver
1928
+
1929
+ 483
1930
+ 00:34:54,110 --> 00:34:57,850
1931
+ cancer chronic alcohol drinking accounts for three
1932
+
1933
+ 484
1934
+ 00:34:57,850 --> 00:35:03,100
1935
+ eight nine thousand cases of cancer worldwideูˆุงู„ู„ูŠ
1936
+
1937
+ 485
1938
+ 00:35:03,100 --> 00:35:09,340
1939
+ ุจูŠุดุฑุจ ูƒุญูˆู„ ูˆุจูŠุฏุฎู† ูƒู…ุงู† ู‡ุฐุง ุจูŠุนุชุจุฑ ุจูŠุนู…ู„ synergism
1940
+
1941
+ 486
1942
+ 00:35:09,340 --> 00:35:12,640
1943
+ ูŠุนู†ูŠ ุงู„ alcohol ู…ุน ุงู„ smoking ุจูŠุนู…ู„ synergism ุจุงู„
1944
+
1945
+ 487
1946
+ 00:35:12,640 --> 00:35:17,160
1947
+ effect ุฃู‡ ูŠุนู†ูŠ ุจูŠุฒูŠุฏ ุงู„ effect ูŠุนู†ูŠ ูˆุงุญุฏ ุฒูŠ ูˆุงุญุฏ
1948
+
1949
+ 488
1950
+ 00:35:17,160 --> 00:35:20,440
1951
+ ุจูŠุณุงูˆูŠ ุงุชู†ูŠู† ู‡ุฐุง additive effect ูˆุงุญุฏ ุฒูŠ ูˆุงุญุฏ
1952
+
1953
+ 489
1954
+ 00:35:20,440 --> 00:35:23,940
1955
+ ุจูŠุณุงูˆูŠ ุชู„ุงุชุฉ ู‡ุฐุง synergistic effect ุชู…ุงู…ุŸ they
1956
+
1957
+ 490
1958
+ 00:35:23,940 --> 00:35:27,900
1959
+ have synergistic effect meaning that the risk of
1960
+
1961
+ 491
1962
+ 00:35:27,900 --> 00:35:35,410
1963
+ cancer ุทุจุนุง is increasedูˆ ุขุฎุฑ ุฅุดูŠ ู„ smoking ุจุฑุถู‡
1964
+
1965
+ 492
1966
+ 00:35:35,410 --> 00:35:40,710
1967
+ ู…ู† ุนุงู… 1985 lung cancer has remained the main
1968
+
1969
+ 493
1970
+ 00:35:40,710 --> 00:35:44,410
1971
+ cancer worldwide ูˆ ุฒูŠ ู…ุง ุดูˆูู†ุง ููŠ ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ
1972
+
1973
+ 494
1974
+ 00:35:44,410 --> 00:35:47,810
1975
+ ุญูƒูŠู†ุง ุนู„ูŠู‡ุง ููŠ ุงู„ุจุฏุงูŠุฉ ุงู„ lung cancer ูุนู„ูŠุง ู‡ูˆ
1976
+
1977
+ 495
1978
+ 00:35:47,810 --> 00:35:52,530
1979
+ ุงู„ุฃูˆู„ูˆุงู„ุงู† ุทุจุนุง ุจุฑุถู‡ ุฑุจุทูˆุง ู…ูˆุถูˆุน ุงู„ู„ู‰ ู‡ูˆ ุงู„
1980
+
1981
+ 496
1982
+ 00:35:52,530 --> 00:35:57,470
1983
+ smoking ุจู‰ ุงู„ู„ู‰ ู‡ูˆ ุญุฏูˆุซ cancer ุงู‡ ูŠุนู†ูŠ ุจุทู„ ูŠู‚ูˆู„ูˆุง
1984
+
1985
+ 497
1986
+ 00:35:57,470 --> 00:36:01,890
1987
+ ุงู†ู‡ ุงู„ุฏุฎุงู† ู…ู…ูƒู† ุงู† ูŠุณุจุจ cancer ู„ุฃ ุตุงุฑ ู„ุงู† ูŠู‚ูˆู„ูˆุง
1988
+
1989
+ 498
1990
+ 00:36:01,890 --> 00:36:06,430
1991
+ ุงู„ุฏุฎุงู† ูŠุณุจุจ ุงู„ cancer smoking accounts for 40
1992
+
1993
+ 499
1994
+ 00:36:06,430 --> 00:36:09,950
1995
+ percent of all cancer deaths one point one eight
1996
+
1997
+ 500
1998
+ 00:36:09,950 --> 00:36:16,150
1999
+ million deaths yearlyุงู„ู€ 81 ูƒุงุฑุณูŠู†ูˆุฌูŠู† ุชู… ุงูƒุชุดุงูู‡
2000
+
2001
+ 501
2002
+ 00:36:16,150 --> 00:36:19,150
2003
+ ููŠ ุงู„ู‡ูˆุงุก ุงู„ุณูŠุฌุงุฑูŠุŒ ูˆู…ู† ุงู„ุงุถุญู‰ ุจุฃู† ุจุนุถ ุงู„ุฃู…ูˆุฑ
2004
+
2005
+ 502
2006
+ 00:36:19,150 --> 00:36:23,830
2007
+ ุงู„ู‚ุงุฏู…ุฉูŠู…ูƒู† ุฃู† ูŠุชู… ุฅูŠู‚ุงูู‡ ุจุชุบูŠูŠุฑุงุช ููŠ ู…ุตุงุฏุฑ ุงู„ุญูŠุงุฉ
2008
+
2009
+ 503
2010
+ 00:36:23,830 --> 00:36:28,470
2011
+ ุงู„ู…ุฎุชู„ูุฉ
2012
+
2013
+ 504
2014
+ 00:36:51,640 --> 00:36:56,140
2015
+ ุงู„ุฃูˆู„ู‰ ูˆูŠุนุทูŠูƒูˆุง ุงู„ู ุนุงููŠุฉ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
2016
+
2017
+ 505
2018
+ 00:36:56,140 --> 00:36:57,220
2019
+ ูˆุจุฑูƒุงุชู‡
2020
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/CIlA_XHwIIE.srt ADDED
@@ -0,0 +1,1351 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,870 --> 00:00:06,850
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ chromatin structure ูˆูƒูŠู ู…ู…ูƒู† ูŠุฃุซุฑ
4
+
5
+ 2
6
+ 00:00:06,850 --> 00:00:12,890
7
+ ุนู„ู‰ ุงู„ู€ gene expression ุทุจุนุงู‹ ุงู„ู€ chromatin structure
8
+
9
+ 3
10
+ 00:00:12,890 --> 00:00:19,810
11
+ ูˆู…ู† ุฎู„ุงู„ ูƒูˆู†ู‡ compact or relaxed ู‡ุฐุง ุจูŠู„ุนุจ ุฏูˆุฑุงู‹
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:24,750
15
+ ู…ู‡ู…ุงู‹ ููŠ ุงู„ู€ genes ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุตู„ ู„ู‡ุง expression ุฃูˆ
16
+
17
+ 5
18
+ 00:00:24,750 --> 00:00:28,990
19
+ silencing. ูŠุจู‚ู‰ degree of compaction or relaxation
20
+
21
+ 6
22
+ 00:00:28,990 --> 00:00:32,830
23
+ of the chromatin determines how readily the DNA in a
24
+
25
+ 7
26
+ 00:00:32,830 --> 00:00:35,510
27
+ portion of chromatin can be
28
+
29
+ 8
30
+ 00:00:35,510 --> 00:00:40,610
31
+ transcribed. ุฅุฐุง ูƒุงู† ู‚ูˆู„ู†ุง ุฅู†ู‡ ุงู„ู€ .. ุงู„ู…ู†ุทู‚ุฉ ู…ู† ุงู„ู€
32
+
33
+ 9
34
+ 00:00:40,610 --> 00:00:44,570
35
+ chromatin is highly compact ุชู…ุงู…ุŒ ูŠุจู‚ู‰ it cannot
36
+
37
+ 10
38
+ 00:00:44,570 --> 00:00:48,610
39
+ be transcribed ูˆุจุงู„ุชุงู„ูŠ it is transcriptionally
40
+
41
+ 11
42
+ 00:00:48,610 --> 00:00:55,130
43
+ silent ู„ุฃู†ู‡ highly compactุŒ ุชู…ุงู…ุŒ ุงู„ู…ู†ุทู‚ุฉ ู…ุถุบูˆุทุฉ
44
+
45
+ 12
46
+ 00:00:55,130 --> 00:01:01,830
47
+ ุจุดูƒู„ ูƒุจูŠุฑุŒ ูˆุจุงู„ุชุงู„ูŠ ุตุนุจ ุฅู†ู‡ ูŠุตูŠุฑ ููŠู†ุง access ู„ู„ู€
48
+
49
+ 13
50
+ 00:01:01,830 --> 00:01:05,230
51
+ transcription factors ูˆุงู„ู€ proteins ุงู„ุฃุฎุฑู‰
52
+
53
+ 14
54
+ 00:01:05,230 --> 00:01:10,550
55
+ ูˆุจุงู„ุชุงู„ูŠ ุงุณุชุฏุนุงุก ู„ู„ู€ RNAs ุฃูˆ RNA polymerase
56
+
57
+ 15
58
+ 00:01:10,550 --> 00:01:16,770
59
+ ุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง transcription ุจูŠู†ู…ุง ุงู„ู…ู†ุงุทู‚ ู…ู† ุงู„ู€
60
+
61
+ 16
62
+ 00:01:16,770 --> 00:01:20,750
63
+ chromatin ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ more relaxed chromatin is
64
+
65
+ 17
66
+ 00:01:20,750 --> 00:01:26,400
67
+ accessible for transcription. ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
68
+
69
+ 18
70
+ 00:01:26,400 --> 00:01:34,600
71
+ relaxedุŒ ุงู„ู„ูŠ ู…ุด ู…ุถุบูˆุทุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฑุฎูŠุฉ ุจูŠูƒูˆู† ุณู‡ู„ุงู‹ ุฅู†ู‡
72
+
73
+ 19
74
+ 00:01:34,600 --> 00:01:38,140
75
+ ูŠุตู„ ุฅู„ูŠู‡ุง ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุฎุชู„ูุฉ ูˆุงู„ุฃุฑ ุฅู† ุขูŠุฒ ูˆุงู„ุจูˆู„ูŠู…ูŠุฑุงุฒ
76
+
77
+ 20
78
+ 00:01:38,140 --> 00:01:42,140
79
+ ูˆูŠุตูŠุฑ ููŠู†ุง ุงู„ู€ transcription. ูŠุจู‚ู‰ ุงู„ู€ chromatin
80
+
81
+ 21
82
+ 00:01:42,140 --> 00:01:47,720
83
+ structure ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑุงู‹ ููŠ ุงู„ู€ gene expression. The
84
+
85
+ 22
86
+ 00:01:47,720 --> 00:01:50,900
87
+ structure of the chromatin from compacted to relaxed
88
+
89
+ 23
90
+ 00:01:50,900 --> 00:01:55,740
91
+ can change. ูˆู‡ูŠ ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุชุฌุนู„ู‡ุง ุชุญุชูˆูŠ ุนู„ู‰
92
+
93
+ 24
94
+ 00:01:55,740 --> 00:02:01,960
95
+ ู‚ูˆุฉ ุนุงู…ุฉ ููŠ ุงู„ู€ transcription. ูŠุจู‚ู‰ ุงู„ุขู†ุŒ ูƒูˆู† ุงู„ุฌุฒุก ู…ู†
96
+
97
+ 25
98
+ 00:02:01,960 --> 00:02:06,160
99
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ู‡ู„ ู‡ูˆ compact ุฃูˆ relaxed ู‡ุฐุง ู…ู…ูƒู† ูŠุชุบูŠุฑ
100
+
101
+ 26
102
+ 00:02:06,160 --> 00:02:13,640
103
+ ูˆู…ู…ูƒู† ูŠุชุบูŠุฑ ู…ู† ุฎู„ุงู„ ุงุฑุชุจุงุท ู…ุฌู…ูˆุนุฉ ู…ุซู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
104
+
105
+ 27
106
+ 00:02:13,640 --> 00:02:19,120
107
+ acetylation ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ู…ู…ูƒู† ุชุฑุชุจุท ู…ุน ุงู„ู€
108
+
109
+ 28
110
+ 00:02:19,120 --> 00:02:23,420
111
+ histones ูˆู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ chromatin ุงู„ู€
112
+
113
+ 29
114
+ 00:02:23,420 --> 00:02:28,920
115
+ structure. ุฒูŠ ู…ุง ู‡ู†ุดูˆูุŒ ุงู„ู€ chromatin confirmation
116
+
117
+ 30
118
+ 00:02:28,920 --> 00:02:32,600
119
+ is encoded by heritable epigenetic modifications
120
+
121
+ 31
122
+ 00:02:32,600 --> 00:02:38,140
123
+ ุฅุฐู‹ุง ู‡ูˆ ู…ุง ู„ู‡ ุนู„ุงู‚ุฉ ุจุชุบูŠุฑ ุจู€ sequence ุฒูŠ ู…ุง ู‚ู„ู†ุง
124
+
125
+ 32
126
+ 00:02:38,140 --> 00:02:43,460
127
+ ุจู‡ูˆ ู‡ุงู† ุนุจุงุฑุฉ ุนู† epigeneticsุŒ ุฃูŠ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ DNA
128
+
129
+ 33
130
+ 00:02:43,460 --> 00:02:49,440
131
+ sequence ู„ุงุŒ ู„ูƒู† ุนู†ุฏู†ุง ุฅู…ุง expression ู„ุฌูŠู† ุฃูˆ
132
+
133
+ 34
134
+ 00:02:49,440 --> 00:02:56,180
135
+ silencing ู„ุฌูŠู†ุŒ ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:56,180 --> 00:03:00,480
139
+ ุงู„ููŠุฌุฑ ูŠูˆุถุญ ุจุนุถ ุงู„ู€ epigenetic mechanisms
140
+
141
+ 36
142
+ 00:03:04,860 --> 00:03:08,700
143
+ ุงู„ุจูŠุฆูŠุฉ ุชุชุฃุซุฑ ุจู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ูˆุงู„ุณู„ุณู„ุงุช
144
+
145
+ 37
146
+ 00:03:08,700 --> 00:03:12,440
147
+ ุจู‡ุฐู‡ุŒ ุฏูŠ ู…ู…ูƒู† ุชุคุซุฑ ูุนู„ูŠุงู‹ ุนู„ู‰ ุงู„ู€ epigeneticsุŒ ุชุนู…ู„
148
+
149
+ 38
150
+ 00:03:12,440 --> 00:03:17,620
151
+ ุชุบูŠูŠุฑุงู‹ ููŠ ุงู„ู€ expression ู„ู„ุฌูŠู†ุงุช. ุนู†ุฏู†ุง ุงู„ู€
152
+
153
+ 39
154
+ 00:03:17,620 --> 00:03:21,420
155
+ developmentุŒ ุงู„ู€ environmental chemicalsุŒ ุจุนุถ
156
+
157
+ 40
158
+ 00:03:21,420 --> 00:03:25,280
159
+ ุงู„ู€ chemicals ู…ู…ูƒู† ูŠุชุฃุซุฑ ูˆูŠุชุบูŠุฑ ููŠ ุงู„ู€ epigenetics
160
+
161
+ 41
162
+ 00:03:25,280 --> 00:03:32,430
163
+ ู„ู„ุฏุฑุงุฌุงุชุŒ ุงู„ู€ agingุŒ ูˆุฃูŠุถุงู‹ ุงู„ู€ diet ูƒู„ู‡ุง ูุนู„ูŠุงู‹
164
+
165
+ 42
166
+ 00:03:32,430 --> 00:03:37,010
167
+ ุนู…ู„ูŠุงุช ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑุงู‹ ููŠ ุงู„ู€ epigeneticsุŒ ูˆุจุงู„ุชุงู„ูŠ
168
+
169
+ 43
170
+ 00:03:37,010 --> 00:03:42,810
171
+ ููŠ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช. ุนู†ุฏู†ุง ุงู„ู€
172
+
173
+ 44
174
+ 00:03:42,810 --> 00:03:48,050
175
+ methylation ู„ู„ู€ DNAุŒ ุจุฑุถู‡ ู‡ุฐู‡ ุชุนุชุจุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
176
+
177
+ 45
178
+ 00:03:48,050 --> 00:03:52,900
179
+ methyl group ุชุนุชุจุฑ an epigenetic factor. ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
180
+
181
+ 46
182
+ 00:03:52,900 --> 00:03:55,620
183
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ diet ู…ู…ูƒู† ูŠุนู…ู„ ุชุบูŠูŠุฑุงู‹ุŒ ูˆูุนู„ูŠุงู‹ ุงู„ู€ methyl
184
+
185
+ 47
186
+ 00:03:55,620 --> 00:04:00,400
187
+ group ู…ูˆุฌูˆุฏุฉ in some dietary sources. ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู
188
+
189
+ 48
190
+ 00:04:00,400 --> 00:04:04,880
191
+ ูƒูŠู ๏ฟฝ๏ฟฝู„ู„ูŠ ู‡ูˆ ุงู„ู€ methylation ู…ู…ูƒู† ูŠุบูŠุฑ ู…ู† ุงู„ู€
192
+
193
+ 49
194
+ 00:04:04,880 --> 00:04:14,000
195
+ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช. ู‡ู†ุง
196
+
197
+ 50
198
+ 00:04:14,000 --> 00:04:19,240
199
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ acetylationุŒ ุชู…ุงู…ุŒ ุจุฑุถู‡ ุทุจุนุงู‹ ู…ู…ูƒู†
200
+
201
+ 51
202
+ 00:04:19,240 --> 00:04:23,540
203
+ ุชู„ุนุจ ุฏูˆุฑุงู‹ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู† ุจุฑุถู‡ ูƒู…ุงู† ุดูˆูŠุฉ. ูˆู‡ุฐู‡
204
+
205
+ 52
206
+ 00:04:23,540 --> 00:04:27,340
207
+ ุงู„ุนู…ู„ูŠุงุช ุทุจุนุงู‹ ุจุชุฃุซุฑ ุจุฃู†ู‡ุง ุนู„ู‰ ุงู„ู€ healthุŒ ูŠุนู†ูŠ
208
+
209
+ 53
210
+ 00:04:27,340 --> 00:04:30,540
211
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancerุŒ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ autoimmune
212
+
213
+ 54
214
+ 00:04:30,540 --> 00:04:34,700
215
+ diseasesุŒ mental disorders ุฃูˆ diabetes. ู‡ุฐุง ูƒู„ู‡ ู…ู…ูƒู†
216
+
217
+ 55
218
+ 00:04:34,700 --> 00:04:39,920
219
+ ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ epigenetic factors ุงู„ู…ุฎุชู„ูุฉ
220
+
221
+ 56
222
+ 00:04:39,920 --> 00:04:46,820
223
+ ุทูŠุจ
224
+
225
+ 57
226
+ 00:04:46,970 --> 00:04:52,150
227
+ ุงู„ุชุญูƒู… ุงู„ุฅุจูŠุฌูŠู†ูŠูƒูŠ. ุชุนุฑูŠู ุงู„ุฅุจูŠุฌูŠู†ูŠูƒูŠุŒ ูŠุชุนุฑู ุนู„ู‰
228
+
229
+ 58
230
+ 00:04:52,150 --> 00:04:57,850
231
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ูˆุฑุงุซูŠุฉ ุงู„ุชูŠ ุชู… ุชุตู…ูŠู…ู‡ุง ุจุชุบูŠูŠุฑ ุฌูŠู†ูˆู…ู‡ุง
232
+
233
+ 59
234
+ 00:04:57,850 --> 00:05:03,050
235
+ ูˆู…ุฌู…ูˆุนุงุช ุงู„ูƒุฑูˆู…ุงุชูŠู† ู‡ุฐู‡
236
+
237
+ 60
238
+ 00:05:03,050 --> 00:05:09,940
239
+ ุงู„ุชุบูŠุฑุงุช ุชุคุซุฑ ุนู„ู‰ ุจู†ูŠุฉ ูˆุฅุซุจุงุช ุงู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ุจุชุบูŠุฑ ููŠ
240
+
241
+ 61
242
+ 00:05:09,940 --> 00:05:14,140
243
+ ุงู„ู€ structure ูˆุงู„ู€ confirmation ู„ูƒู† ู…ุง ุจูŠุตูŠุฑุด ููŠู‡
244
+
245
+ 62
246
+ 00:05:14,140 --> 00:05:19,480
247
+ ุนู†ุฏู†ุง ุฃูŠ ุชุบูŠูŠุฑ ุทุจุนุงู‹ ููŠ ุงู„ู€ DNA sequence. ูˆู‡ุฐุง ุงู„ุชุบูŠุฑ
248
+
249
+ 63
250
+ 00:05:19,480 --> 00:05:24,080
251
+ ููŠ ุงู„ู€ structure ุฃูˆ ุงู„ู€ confirmation ุจูŠุคุฏูŠ ุฅู„ู‰ ุทุจุนุงู‹
252
+
253
+ 64
254
+ 00:05:24,080 --> 00:05:31,000
255
+ ุชุบูŠูŠุฑุงู‹ ููŠ ุงู„ู€ transcription ู„ุจุนุถ
256
+
257
+ 65
258
+ 00:05:31,000 --> 00:05:35,180
259
+ ุงู„ุฌูŠู†ุงุช. Epigenetic alterations in gene expression
260
+
261
+ 66
262
+ 00:05:35,180 --> 00:05:38,360
263
+ do not cause a change in the nucleotide sequence
264
+
265
+ 67
266
+ 00:05:38,360 --> 00:05:42,860
267
+ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุฃู†ู‡ ู…ุง ููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ู€ sequence ู„ุฃ ุงู„ู€
268
+
269
+ 68
270
+ 00:05:42,860 --> 00:05:46,000
271
+ DNAุŒ ู…ุง ููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ู€ nucleotide sequenceุŒ ุชู…ุงู…
272
+
273
+ 69
274
+ 00:05:46,000 --> 00:05:50,400
275
+ ูˆุจุงู„ุชุงู„ูŠ they therefore are not mutations. ุงู‡ ูŠุจู‚ู‰
276
+
277
+ 70
278
+ 00:05:50,400 --> 00:05:52,980
279
+ ู‡ุฐู‡ ู„ุง ุชุนุชุจุฑ mutations ู„ุฃู† ุงู„ู€ DNA sequence ุฒูŠ ู…ุง
280
+
281
+ 71
282
+ 00:05:52,980 --> 00:05:57,180
283
+ ู‡ูŠุŒ ู„ูƒู† ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ gene
284
+
285
+ 72
286
+ 00:05:57,180 --> 00:05:58,460
287
+ expression.
288
+
289
+ 73
290
+ 00:06:05,750 --> 00:06:08,550
291
+ ุทุจุนุงู‹ ุจุนุถ ุงู„ุชุบูŠุฑุงุช ุงู„ู„ูŠ ุจุชุตูŠุฑ ุนู† ุทุฑูŠู‚ ุงู„ู€
292
+
293
+ 74
294
+ 00:06:08,550 --> 00:06:12,710
295
+ epigenetics ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ activation ู…ู…ูƒู† ู„ุจุนุถ ุงู„ู€
296
+
297
+ 75
298
+ 00:06:12,710 --> 00:06:18,290
299
+ genes ุฃูˆ ุงู„ู€ silencing ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰. ุฃูƒูŠุฏ ู‡ุฐู‡ ู…ู‡ู…ุฉ ููŠ
300
+
301
+ 76
302
+ 00:06:18,290 --> 00:06:23,840
303
+ ุงู„ู€ differentiation ู„ู„ุฎู„ุงูŠุงุŒ ุชู…ุงู…ุŒ ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
304
+
305
+ 77
306
+ 00:06:23,840 --> 00:06:32,180
307
+ ุชู…ุงูŠุฒ ู„ู„ุฎู„ุงูŠุง ูˆู†ุญุตู„ ุนู„ู‰ ุฎู„ูŠุฉ ููŠ organ ู…ุนูŠู†. ูŠุจุฏูˆ
308
+
309
+ 78
310
+ 00:06:32,180 --> 00:06:37,600
311
+ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ expression ู„ู„ุฌูŠู†ุงุชุŒ ู„ุฃู†
312
+
313
+ 79
314
+ 00:06:37,600 --> 00:06:40,380
315
+ ุงู„ู€ DNA ุฒูŠ ู…ุง ุฃู†ุชู… ุนุงุฑููŠู† ููŠ ูƒู„ ุงู„ุฎู„ุงูŠุง ู‡ูˆ DNA
316
+
317
+ 80
318
+ 00:06:40,380 --> 00:06:45,830
319
+ ูˆุงุญุฏ. ุงูŠุด ุจูŠุฎู„ูŠ ุฎู„ูŠุฉ ุชุฎุชู„ู ุนู† ุฎู„ูŠุฉ ุฃุฎุฑู‰ุŸ ู…ู…ูƒู† ุจุงู„ู€
320
+
321
+ 81
322
+ 00:06:45,830 --> 00:06:51,410
323
+ functions ูˆ ุจุงู„ุฃู…ูˆุฑ ุงู„ุฃุฎุฑู‰ ู‡ูˆ ุงู„ู€ expression ู„ู„ุฌูŠู†ุงุช
324
+
325
+ 82
326
+ 00:06:51,410 --> 00:06:55,190
327
+ ูˆุงู„ู„ูŠ ุงู„ู€ epigenetics ุจุชู„ุนุจ ุฏูˆุฑุงู‹ ููŠ ุงู„ู€
328
+
329
+ 83
330
+ 00:06:55,190 --> 00:06:59,710
331
+ silencing ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ู€ expression ู„ุฌูŠู†ุงุช
332
+
333
+ 84
334
+ 00:06:59,710 --> 00:07:05,330
335
+ ุฃุฎุฑู‰. For example, stem cells are maintained in a stem
336
+
337
+ 85
338
+ 00:07:05,330 --> 00:07:09,800
339
+ cell state by epigenetic silencing of genes
340
+
341
+ 86
342
+ 00:07:09,800 --> 00:07:13,500
343
+ important for differentiation. ูŠุจู‚ู‰ ุงู„ู€ stem
344
+
345
+ 87
346
+ 00:07:13,500 --> 00:07:17,060
347
+ cells ุจุชุถู„ู‡ุง stem cell ูˆู…ุง ุจูŠุตู„ู‡ุงุด differentiation
348
+
349
+ 88
350
+ 00:07:17,060 --> 00:07:21,960
351
+ ู„ุฃู† ุงู„ู€ differentiation genes ู…ุนู…ูˆู„ ู„ู‡ุง
352
+
353
+ 89
354
+ 00:07:21,960 --> 00:07:27,240
355
+ silencingุŒ ููŠู‡ silencing ู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ุจุชุคุฏูŠ ุฅู„ู‰ ุงู„ู€
356
+
357
+ 90
358
+ 00:07:27,240 --> 00:07:34,340
359
+ differentiationุŒ ูˆุจุงู„ุชุงู„ูŠ ุจุชุธู„ู‡ุง ู…ูˆุฌูˆุฏุฉ ูƒู€ stem cell
360
+
361
+ 91
362
+ 00:07:34,340 --> 00:07:37,840
363
+ ูŠุจู‚ู‰ ู†ุชูˆู‚ุน ุฃู†ู‡ ุฅุฐุง ูƒุงู† ุจุฏู†ุง ูŠุตูŠุฑ ููŠู†ุง
364
+
365
+ 92
366
+ 00:07:37,840 --> 00:07:43,980
367
+ differentiation ูŠุจู‚ู‰ ู…ู…ูƒู† ุจุนุถ ู…ู† ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ
368
+
369
+ 93
370
+ 00:07:43,980 --> 00:07:47,480
371
+ ... ุงู„ู„ูŠ ู…ุนู…ูˆู„ ู„ู‡ุง silencing ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง expression
372
+
373
+ 94
374
+ 00:07:47,480 --> 00:07:54,240
375
+ ูˆุชุจุฏุฃ ุงู„ุฎู„ูŠุฉ ููŠ ุงู„ุชู…ุงูŠุฒ. It is differential gene
376
+
377
+ 95
378
+ 00:07:54,240 --> 00:07:57,660
379
+ expression that makes one cell type different from
380
+
381
+ 96
382
+ 00:07:57,660 --> 00:08:00,840
383
+ another. ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ูุนู„ูŠุงู‹ ุงู„ู€
384
+
385
+ 97
386
+ 00:08:00,840 --> 00:08:04,480
387
+ gene expression ู‡ูˆ ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุฎู„ูŠุฉ ุนู† ุฎู„ูŠุฉ ุฃุฎุฑู‰
388
+
389
+ 98
390
+ 00:08:04,480 --> 00:08:09,840
391
+ ู„ุฃู† ุงู„ู€ DNA ูˆุงุญุฏ ุงู„ู…ูˆุฌูˆุฏุŒ ู„ูƒู† ุงู„ู„ูŠ ุจูŠุนู…ู„ ุชู…ุงูŠุฒ ู‡ูˆ
392
+
393
+ 99
394
+ 00:08:09,840 --> 00:08:13,100
395
+ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ู€ silencing
396
+
397
+ 100
398
+ 00:08:13,100 --> 00:08:17,210
399
+ ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰. ุณู†ุชุญุฏุซ ุนู†
400
+
401
+ 101
402
+ 00:08:17,210 --> 00:08:43,710
403
+ .....................................................................................................
404
+
405
+ 102
406
+ 00:08:47,920 --> 00:08:51,560
407
+ ุงู„ู€ epigenetic regulation of transcription. ู†ูƒู…ู„
408
+
409
+ 103
410
+ 00:08:51,560 --> 00:08:57,280
411
+ ุทุจุนุงู‹ both can be acquired or inherited. ุงู„ู€
412
+
413
+ 104
414
+ 00:08:57,280 --> 00:09:03,060
415
+ epigenetics ู…ู…ูƒู† ุชูƒูˆู† inherited ู„ูƒู† ุจุฑุถู‡ ู…ู…ูƒู† ุชูƒูˆู†
416
+
417
+ 105
418
+ 00:09:03,060 --> 00:09:07,520
419
+ acquired. ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ุนู†ุฏู†ุง ุจุนุถ ุงู„ู€
420
+
421
+ 106
422
+ 00:09:07,520 --> 00:09:12,320
423
+ chemicalsุŒ ุจุนุถ ุงู„ู€ drugsุŒ ุญุชู‰ ุงู„ู€ diet ู…ู…ูƒู† ูŠุนู…ู„ ุชุบูŠูŠุฑ
424
+
425
+ 107
426
+ 00:09:12,320 --> 00:09:15,080
427
+ ููŠ ุงู„ู€ epigeneticsุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ุญุงู„ุฉ ุญุชูƒูˆู†
428
+
429
+ 108
430
+ 00:09:15,080 --> 00:09:22,330
431
+ acquired. ุชุฃุซูŠุฑ ุนู…ู„ูŠุฉ ุงู„ู€ transcription ุจุฅุฏุฎุงู„ ุชุฌุงุฑุจ
432
+
433
+ 109
434
+ 00:09:22,330 --> 00:09:26,770
435
+ ุงู„ู€ transcription ู„ุชุฌุงุฑุจ ู†ูƒู„ูŠูˆุชูŠุฏูŠุฉ ู†ูƒู„ูŠูˆุชูŠุฏูŠุฉ ููŠ ู…ุคุณุณุงุช
436
+
437
+ 110
438
+ 00:09:26,770 --> 00:09:28,450
439
+ ุงู„ุฌูŠู†ุงุช.
440
+
441
+ 111
442
+ 00:09:30,290 --> 00:09:35,910
443
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ุงุฑุชุจุงุทุงุชุŒ ุฒูŠ ู…ุง ู‡ู†ุดูˆูุŒ ุงู„ู€ bodily groups
444
+
445
+ 112
446
+ 00:09:35,910 --> 00:09:43,310
447
+ ู…ู…ูƒู† ุทุจุนุงู‹ ูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ chromatinุŒ ุฃู†ู‡ ู‡ู„ ู‡ูŠูƒูˆู†
448
+
449
+ 113
450
+ 00:09:43,310 --> 00:09:48,530
451
+ ู…ุถุบูˆุทุŒ compact ุฃูˆ relaxed ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุฃุซุฑ ุนู„ู‰ ูˆุตูˆู„
452
+
453
+ 114
454
+ 00:09:48,530 --> 00:09:52,850
455
+ ุงู„ู€ transcription factors ู„ู„ู€ promoters ู„ู„ุฌูŠู†ุงุช
456
+
457
+ 115
458
+ 00:09:52,850 --> 00:09:55,990
459
+ ูˆุจุงู„ุชุงู„ูŠ expression ู„ู‡ุฐู‡ ุงู„ุฌูŠู†ุงุช.
460
+
461
+ 116
462
+ 00:10:00,340 --> 00:10:04,660
463
+ ุงู„ู…ู‡ู… ุฃู† ูŠูƒูˆู† ู…ู„ุงุญุธุงู‹ ุฃู† ุฌู…ูŠุน ุงู„ุชุนุฏูŠู„ุงุช ุงู„ุฅุจูŠุฌูŠู†ูŠูƒูŠุฉ
464
+
465
+ 117
466
+ 00:10:04,660 --> 00:10:10,440
467
+ ุชุนู…ู„ ู…ุนุงู‹ ู„ู„ุชุญูƒู… ููŠ ุญุงู„ุงุช ู…ูุชูˆุญุฉ ูˆู…ุบู„ู‚ุฉ ู…ู† ุงู„ู€
468
+
469
+ 118
470
+ 00:10:10,440 --> 00:10:15,540
471
+ chromatin. ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู…ุซุงู„ ุฃู†ู‡ ู…ู…ูƒู† ุฃู†
472
+
473
+ 119
474
+ 00:10:15,540 --> 00:10:19,040
475
+ ุงู„ุฃู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ acetylation ู…ุน
476
+
477
+ 120
478
+ 00:10:19,040 --> 00:10:21,780
479
+ ุงู„ุฃู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ methylation ู…ู…ูƒู† ู‡ุฏูˆู„
480
+
481
+ 121
482
+ 00:10:21,780 --> 00:10:23,740
483
+ ูŠุดุชุบู„ูˆุง ู…ุน ุจุนุถ
484
+
485
+ 122
486
+ 00:10:27,410 --> 00:10:31,730
487
+ ูˆุฃูŠุถุงู‹ ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ Regulation of transcription
488
+
489
+ 123
490
+ 00:10:31,730 --> 00:10:38,210
491
+ factors binding links genetic and epigenetic
492
+
493
+ 124
494
+ 00:10:38,210 --> 00:10:43,570
495
+ mechanisms. ุจุฑุถู‡ ู‡ู†ุดูˆู ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุงูŠุด ู…ุนู†ุงู‡ุง ูƒู…ุงู†
496
+
497
+ 125
498
+ 00:10:43,570 --> 00:10:51,260
499
+ ุดูˆูŠุฉ. ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ histone modification. ุฅู† ุงู„ู€
500
+
501
+ 126
502
+ 00:10:51,260 --> 00:10:54,460
503
+ histone proteins are subject to diverse post-
504
+
505
+ 127
506
+ 00:10:54,460 --> 00:10:59,140
507
+ translational modifications. ุจุนุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
508
+
509
+ 128
510
+ 00:10:59,140 --> 00:11:02,800
511
+ translation ูˆูŠุชูƒูˆู† ุงู„ุจุฑูˆุชูŠู† ุจูŠุตูŠุฑ ููŠู‡ post-
512
+
513
+ 129
514
+ 00:11:02,800 --> 00:11:06,900
515
+ translational modifications ู„ู„ู€ histones. ูˆู…ู† ุถู…ู†
516
+
517
+ 130
518
+ 00:11:06,900 --> 00:11:09,440
519
+ ุงู„ู€ modifications ุงู„ู„ูŠ ุจุชุตูŠุฑ acetylation,
520
+
521
+ 131
522
+ 00:11:10,180 --> 00:11:15,260
523
+ methylation, phosphorylation ูˆ ubiquitination. The
524
+
525
+ 132
526
+ 00:11:15,260 --> 00:11:20,830
527
+ histone code hypothesis. ุชู‚ุชุฑุญ ู‡ุฐู‡ ุงู„ุชุบูŠุฑุงุช ุงู„ู…ุฑุชุจุทุฉ
528
+
529
+ 133
530
+ 00:11:20,830 --> 00:11:26,950
531
+ ุจุดูƒู„ ู…ุฎุชู„ู ุชุณุงุนุฏ ููŠ ุชู†ุธูŠู… ู…ุฌู…ูˆุนุงุช ูˆุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
532
+
533
+ 134
534
+ 00:11:26,950 --> 00:11:30,110
535
+ ุงู„ุชู†ุณูŠู‚ุŒ ุงู„ุชุญูƒู…ุŒ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠ
536
+
537
+ 135
538
+ 00:11:32,680 --> 00:11:39,160
539
+ ุงู„ู€ histone code ู‡ูŠ ุนุจุงุฑุฉ ุนู† hypothesis that the
540
+
541
+ 136
542
+ 00:11:39,160 --> 00:11:42,220
543
+ transcription of genetic information encoded in
544
+
545
+ 137
546
+ 00:11:42,220 --> 00:11:46,320
547
+ DNA is in part regulated by chemical modifications
548
+
549
+ 138
550
+ 00:11:46,320 --> 00:11:52,920
551
+ to histone proteins. ูŠุจู‚ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ transcription ู„ู„ู€
552
+
553
+ 139
554
+ 00:11:52,920 --> 00:11:58,140
555
+ genes ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ chemical modifications ู„ู„ู€
556
+
557
+ 140
558
+ 00:11:58,140 --> 00:12:02,140
559
+ histones. ูˆุฏู‡ ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ู…ู† ุฎู„ุงู„ ู…ุซุงู„ ุงู„ู€
560
+
561
+ 141
562
+ 00:12:02,140 --> 00:12:09,940
563
+ acetylation. ูŠุจู‚ู‰ ู‡ู†ุญูƒูŠ ุนู† ูู‚ุท ุงู„ู€ acetylation ุจู…ุง
564
+
565
+ 142
566
+ 00:12:09,940 --> 00:12:13,120
567
+ ูŠุชุนู„ู‚ ุจุงู„ู€ histone modification. ุงู„ุชุทุจูŠู‚ ุงู„ู€
568
+
569
+ 143
570
+ 00:12:13,120 --> 00:12:17,820
571
+ acetylation of histonesุŒ ุชุบูŠูŠุฑ ู…ุจู†ู‰ ุงู„ูƒุฑูˆู…ุงุชูŠู† ูˆุชุฃุซูŠุฑู‡
572
+
573
+ 144
574
+ 00:12:17,820 --> 00:12:22,040
575
+ ุนู„ู‰ ๏ฟฝ๏ฟฝุธู‡ุงุฑ ุงู„ุฌูŠู†ุงุช. ุงู„ุชุทุจูŠู‚ ุงู„ู€ acetylation of histones
576
+
577
+ 145
578
+ 00:12:22,040 --> 00:12:30,020
579
+ ูŠูุบูŠู‘ุฑ ู…ุจู†ู‰ ุงู„ูƒุฑูˆู…ุงุชูŠู† ูˆูŠุคุซุฑ ุนู„ู‰ ุฅุธู‡ุงุฑ ุงู„ุฌูŠู†ุงุช.
580
+
581
+ 146
582
+ 00:12:30,020 --> 00:12:32,720
583
+ ุงู„ุชุทุจูŠู‚ ุงู„ู€ acetylation of histones acts as a
584
+
585
+ 147
586
+ 00:12:32,720 --> 00:12:35,740
587
+ docking signal for the recruitment or the
588
+
589
+ 148
590
+ 00:12:35,740 --> 00:12:39,580
591
+ repulsion of chromatin modifying factors.
592
+
593
+ 149
594
+ 00:12:42,660 --> 00:12:48,880
595
+ ุฃูˆ ุนุฏู… ูˆุฌูˆุฏู‡ุงุŒ ุชู…ุงู…ุŒ ุฒูŠ ุฅุดุงุฑุฉุŒ ุชู…ุงู…ุŒ ู„ู€ ุงู„ู€ other
596
+
597
+ 150
598
+ 00:12:48,880 --> 00:12:52,500
599
+ proteins ุฃูˆ other factors ุงู„ู„ูŠ ู…ู…ูƒู† ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
600
+
601
+ 151
602
+ 00:12:52,500 --> 00:12:59,680
603
+ ุจุงู„ู€ expression ู„ู„ุฌูŠู†ุงุช. ููŠู‡ two enzymes ุจูŠู„ุนุจ
604
+
605
+ 152
606
+ 00:12:59,680 --> 00:13:05,240
607
+ ุฏูˆุฑุงู‹ ููŠ ุงู„ู€ acetylation ุฃูˆ ุงู„ู€ deacetylation. ุฅู† ุงู„ู€
608
+
609
+ 153
610
+ 00:13:05,240 --> 00:13:09,900
611
+ enzyme ุงู„ุฃูˆู„ histone acetyltransferase ูˆู‡ุฐุง ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:13:09,900 --> 00:13:16,450
615
+ ุจูŠู†ู‚ู„ acetyl group ู„ู„ู‡ูŠุณุชูˆู†. ูˆุนู†ุฏู†ุง ุงู†ุฒูŠู… ุขุฎุฑ histone
616
+
617
+ 155
618
+ 00:13:16,450 --> 00:13:22,470
619
+ deacetylase ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠุนู…ู„ ุนู„ู‰ ุงู„ู€ removal ู„ู„ู€ acetyl
620
+
621
+ 156
622
+ 00:13:22,470 --> 00:13:29,170
623
+ group. histone acetyltransferase (HAT) ูˆุงู„ู€ histone de
624
+
625
+ 157
626
+ 00:13:29,170 --> 00:13:37,850
627
+ acetylase (HDAC). ุงู„ู€ histone acetyltransferase
628
+
629
+ 158
630
+ 00:13:40,140 --> 00:13:46,740
631
+ (HAT) ุจูŠุงุฎุฐ acetyl ู…ุญุฏุฏุฉ. Histone Lysine acetyltransferase ูŠุถูŠู acetyl
632
+
633
+ 159
634
+ 00:13:46,740 --> 00:13:56,560
635
+ group ุจูŠุถูŠูู‡ุง ูˆูŠู†ุŸ ุนู†ุฏูŠ amino acid lysine ุนู„ู‰ histone
636
+
637
+ 160
638
+ 00:13:56,560 --> 00:14:02,680
639
+ tail lysine ูˆุบูŠุฑ histone tail lysine ูˆุบูŠุฑ histone tail
640
+
641
+ 161
642
+ 00:14:02,680 --> 00:14:04,260
643
+ lysine ูˆุบูŠุฑ histone tail lysine ูˆุบูŠุฑ histone tail lysine
644
+
645
+ 162
646
+ 00:14:05,590 --> 00:14:08,290
647
+ ูƒู…ุงู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุฃู† acetyl ู„ูŠุณ ุงู„ู„ูŠ ู„ู‡ุง ุงู„
648
+
649
+ 163
650
+ 00:14:08,290 --> 00:14:10,890
651
+ transcription factor. ุงุญู†ุง ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„
652
+
653
+ 164
654
+ 00:14:10,890 --> 00:14:16,690
655
+ ุฎุงุต ุนู„ู‰ ุงู„ู€ histones. ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ู€ ... ุงู„ู€ histone
656
+
657
+ 165
658
+ 00:14:16,690 --> 00:14:22,830
659
+ acetyltransferase ูŠุฌูŠ ูˆูŠุถูŠู acetyl group ุนู„ู‰
660
+
661
+ 166
662
+ 00:14:22,830 --> 00:14:28,250
663
+ ุงู„ู€ lysines. ุงู„ุขู†
664
+
665
+ 167
666
+ 00:14:28,250 --> 00:14:32,450
667
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุฉ ุฅุถุงูุฉ ุงู„ู€ acetyl group ู‡ุฐู‡ ุงูŠุด ุญุชุนู…ู„ุŸ
668
+
669
+ 168
670
+ 00:14:33,630 --> 00:14:41,930
671
+ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ู€ figure ู‡ู†ุง. ุนู†ุฏู†ุง ุงู„ู€ figure
672
+
673
+ 169
674
+ 00:14:41,930 --> 00:14:47,270
675
+ ู‡ุฐุง. ู‡ูŠ ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ enzyme histone acetyl
676
+
677
+ 170
678
+ 00:14:47,270 --> 00:14:52,370
679
+ transferase. ู„ู…ุง ุจูŠุฌูŠ ู‡ุฐุง ุงู„ู€ enzyme ูˆุจุดุชุบู„ ูˆุจูŠุถูŠู
680
+
681
+ 171
682
+ 00:14:52,370 --> 00:15:00,330
683
+ ุงู„ู€ acetyl groups ุนู„ู‰ ุงู„ู€ histoneุŒ ุชู…ุงู…ุŒ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุฃู†ู‡
684
+
685
+ 172
686
+ 00:15:00,330 --> 00:15:06,280
687
+ ุจุชุบูŠุฑ ุงู„ู€ chromatin structure ูˆุจูŠุตูŠุฑ more relaxed
688
+
689
+ 173
690
+ 00:15:06,280 --> 00:15:13,400
691
+ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠู‡ decondensation ู„ู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ุชู…ุงู…ุŸ
692
+
693
+ 174
694
+ 00:15:13,400 --> 00:15:17,500
695
+ ุจูŠู†ู…ุง ู„ู…ุง ุจูŠุฌูŠ ุจูŠุดุชุบู„ ุงู„ุงู†ุฒูŠู… ุงู„ุขุฎุฑ histone de
696
+
697
+ 175
698
+ 00:15:17,500 --> 00:15:22,920
699
+ acetylase ุจูŠู†ุฒุน ุงู„ู€ acetyl groups ูˆุจุงู„ุชุงู„ูŠ ุจุชุญูˆู„
700
+
701
+ 176
702
+ 00:15:22,920 --> 00:15:28,580
703
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุฅู„ู‰ condensed chromatin ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
704
+
705
+ 177
706
+ 00:15:28,580 --> 00:15:34,260
707
+ ุจูŠุนุทูŠู†ูŠ ุงู„ุชุบูŠูŠุฑ ููŠู‡ ู„ู€ chromatin configuration ูŠุนู†ูŠ
708
+
709
+ 178
710
+ 00:15:34,260 --> 00:15:39,600
711
+ ู‡ู†ุง ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 11 ู†ุงู†ูˆู…ุชุฑ fiber ู„ุฃู†ู‡ ู…ุด
712
+
713
+ 179
714
+ 00:15:39,600 --> 00:15:44,700
715
+ condensed chromatin. ุจูŠู†ู…ุง ุงู„ู€ condensed
716
+
717
+ 180
718
+ 00:15:44,700 --> 00:15:48,780
719
+ chromatin ุจูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ู€ ... ุงู„ู€ chromatin ุฃุณู…ูƒ
720
+
721
+ 181
722
+ 00:15:48,780 --> 00:15:55,520
723
+ ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 30 ู†ุงู†ูˆู…ุชุฑ fiber. ูˆู‡ุฐุง ูˆุงุถุญ
724
+
725
+ 182
726
+ 00:15:55,520 --> 00:15:58,420
727
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ chromatin configuration ุฃูˆ structure
728
+
729
+ 183
730
+ 00:15:58,420 --> 00:16:06,270
731
+ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ุดูƒู„. ุงู„ู€ ... ุงู„ู€ DNA ุงู„ู„ูŠ ู‡ูˆ 2 ู†ุงู†ูˆู…ุชุฑ ุจุนุฏ
732
+
733
+ 184
734
+ 00:16:06,270 --> 00:16:10,670
735
+ ู‡ูŠูƒ ุทุจุนุงู‹ ู…ุน ุงู„ู€ histones ูˆุงู„ู€ nucleosomes ุจู†ุญุตู„
736
+
737
+ 185
738
+ 00:16:10,670 --> 00:16:17,070
739
+ ุนู„ู‰ 10 ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ 11 ู†ุงู†ูˆู…ุชุฑ fiber. ูˆุจุนุฏูŠู† ู„ู…ุง
740
+
741
+ 186
742
+ 00:16:17,070 --> 00:16:21,210
743
+ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ุนู†ุฏ
744
+
745
+ 223
746
+ 00:19:06,890 --> 00:19:10,470
747
+ ุงู„ุชู†ุณูŠู‚ุงุช ู…ู† ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชู‚ุฑุฑ ุงุณุชุฎุฏุงู… ู…ุตุงุฏุฑ
748
+
749
+ 224
750
+ 00:19:10,470 --> 00:19:17,090
751
+ ุงู„ุชู†ุณูŠู‚ุงุช ูˆุชู†ุชู‡ูŠ ููŠ ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช ูƒู…ุง ุงุชูู‚ู†ุงุŒ
752
+
753
+ 225
754
+ 00:19:17,090 --> 00:19:22,410
755
+ ุนู†ุฏู…ุง ูŠูƒูˆู† ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุนุงู„ูŠุงู‹ ุฃูˆ ู…ุฑุชุจุทุงู‹ุŒ ู„ู† ูŠุตู„
756
+
757
+ 226
758
+ 00:19:22,410 --> 00:19:26,070
759
+ ุฅู„ู‰ ู…ุตุงุฏุฑ ุงู„ุชู†ุณูŠู‚ุงุช ุฃูˆ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ู„ุฌูŠู†ู‡ุŒ
760
+
761
+ 227
762
+ 00:19:26,070 --> 00:19:30,090
763
+ ูˆุจุงู„ุชุงู„ูŠ ุณูŠุญุตู„ ููŠู‡ุง ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช
764
+
765
+ 228
766
+ 00:19:32,170 --> 00:19:35,370
767
+ ุทุจุนุงู‹ ู…ู† ู†ุงุญูŠุฉ ุฃุฎุฑู‰ุŒ ุงู„ู€ Transcriptional Activators
768
+
769
+ 229
770
+ 00:19:35,370 --> 00:19:45,550
771
+ ู…ุงุฐุง ุชูุนู„ุŸ ุชุฌู†ุฏ Histone Acetyltransferase ุนุดุงู†
772
+
773
+ 230
774
+ 00:19:45,550 --> 00:19:49,550
775
+ ุชุฑุชุจุท ุงู„ู€ Acetyl group ู…ุน ุงู„ู€ Histone ูˆูŠุชุฎู„ู‰
776
+
777
+ 231
778
+ 00:19:49,550 --> 00:19:55,570
779
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ู„ูŠุตุจุญ more relaxed ูˆุจุงู„ุชุงู„ูŠ ุชุณุชุทูŠุน ุนูˆุงู…ู„ ุงู„ู†ุณุฎ
780
+
781
+ 232
782
+ 00:19:55,570 --> 00:20:01,990
783
+ Transcription Factors ุงู„ุงุฑุชุจุงุท ู…ุน ุงู„ู€ PromotersุŒ ูˆูƒู…ุซุงู„
784
+
785
+ 233
786
+ 00:20:01,990 --> 00:20:05,230
787
+ ููŠู‡ ุฃู† ุงู„ู€ Retinoblastoma tumor suppressor protein
788
+
789
+ 234
790
+ 00:20:05,230 --> 00:20:10,480
791
+ ุณู†ุชุญุฏุซ ุนู†ู‡ุง ุจุชูุตูŠู„ ุฃูƒุซุฑ ู„ุงุญู‚ุงู‹ุŒ ูƒูŠู ุชุนู…ู„
792
+
793
+ 235
794
+ 00:20:10,480 --> 00:20:17,400
795
+ ู‚ู…ุนุงู‹ ู„ู„ุฌูŠู†ุงุช ุนู† ุทุฑูŠู‚ Excess Effect in part
796
+
797
+ 236
798
+ 00:20:17,400 --> 00:20:21,940
799
+ ุจุฌุฐุจ HDAC ุงู„ุฐูŠ ู‡ูˆ ุงู„ู€ Histone D-Acetylase
800
+
801
+ 237
802
+ 00:20:21,940 --> 00:20:27,000
803
+ ูŠุจู‚ู‰ ุงู„ู€ Retinoblastoma ูŠุฌู„ุจ ุงู„ู€ Histone D
804
+
805
+ 238
806
+ 00:20:27,000 --> 00:20:30,600
807
+ -Acetylase ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„ ุนู„ู‰ ู†ุฒุน ุงู„ู€ acetyl group
808
+
809
+ 239
810
+ 00:20:30,600 --> 00:20:36,240
811
+ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„ ุนู„ู‰ ุฅุณูƒุงุช ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ุชูŠ ู„ู‡ุง
812
+
813
+ 240
814
+ 00:20:36,240 --> 00:20:41,730
815
+ ุนู„ุงู‚ุฉ ุจู‡ุŒ ุงู„ุชูƒุงุซุฑ ุงู„ุฎู„ูˆูŠุŒ ู‡ุฐุง ุงู„ุดูƒู„ ูŠูˆุถุญ
816
+
817
+ 241
818
+ 00:20:41,730 --> 00:20:45,750
819
+ ุงู„ูƒู„ุงู… ุงู„ุฐูŠ ุฐูƒุฑู†ุงู‡ ูˆุงู„ุฐูŠ ูŠุชุนู„ู‚ ุจุงู„ุดุญู†ุงุช ุงู„ู…ูˆุฌุจุฉ ูˆุงู„ุณุงู„ุจุฉุŒ
820
+
821
+ 242
822
+ 00:20:45,750 --> 00:20:51,590
823
+ ู‡ู†ุง ู„ุฏูŠู†ุง ุงู„ู‡ูŠุณุชูˆู†ุŒ ูˆูƒู…ุง ู‚ู„ู†ุง ูŠูˆุฌุฏ ููŠู‡
824
+
825
+ 243
826
+ 00:20:51,590 --> 00:20:55,990
827
+ ุงู„ู„ูŠุฒูŠู†ุŒ ูˆุงู„ู„ูŠุฒูŠู† ูŠุญู…ู„
828
+
829
+ 244
830
+ 00:20:55,990 --> 00:20:59,910
831
+ ุดุญู†ุฉ ู…ูˆุฌุจุฉ ููŠ ุงู„ุญุงู„ุฉ ุฑู‚ู… 3 ูˆุจุงู„ุชุงู„ูŠ ูŠุญู…ู„
832
+
833
+ 245
834
+ 00:20:59,910 --> 00:21:03,050
835
+ ุดุญู†ุฉ ู…ูˆุฌุจุฉุŒ ูˆุงู„ุดุญู†ุฉ ุงู„ู…ูˆุฌุจุฉ ู…ุน ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ
836
+
837
+ 246
838
+ 00:21:03,050 --> 00:21:06,470
839
+ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ู€ DNAุŒ ุณูŠุญุฏุซ ุงุฑุชุจุงุท
840
+
841
+ 247
842
+ 00:21:06,470 --> 00:21:12,290
843
+ ุจุดูƒู„ ุฌูŠุฏุŒ ูˆุณูŠูƒูˆู† ู‡ู†ุงูƒ ุชุบู„ูŠู ุฌูŠุฏ ู„ู„ู€ DNA
844
+
845
+ 248
846
+ 00:21:12,290 --> 00:21:17,720
847
+ ูˆุจุงู„ุชุงู„ูŠ ุชูƒุซูŠูุŒ ุชู…ุงู…ุŸ ูˆุงู„ุฐูŠ ูŠุนู…ู„ ุนู„ู‰ ุฐู„ูƒ ู‡ูˆ
848
+
849
+ 249
850
+ 00:21:17,720 --> 00:21:21,800
851
+ ุจู†ูŠุฉ ุงู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ู‡ูˆ
852
+
853
+ 250
854
+ 00:21:21,800 --> 00:21:26,980
855
+ ุฅุฒุงู„ุฉ ุงู„ุฃุณูŠุชูŠู„ ุทุจุนุงู‹ ุนู† ุทุฑูŠู‚ ุฅู†ุฒูŠู… ุงู„ู€ Histone
856
+
857
+ 251
858
+ 00:21:26,980 --> 00:21:32,100
859
+ DeacetylaseุŒ ุงู„ู€ Histone DeacetylaseุŒ ูŠู†ุฒุน ุงู„ู€
860
+
861
+ 252
862
+ 00:21:32,100 --> 00:21:35,940
863
+ Acetyl group ุงู„ู…ุฑุชุจุท ุจุงู„ู„ูŠุฒูŠู†ุŒ ูˆ ุชุนูˆุฏ
864
+
865
+ 253
866
+ 00:21:35,940 --> 00:21:38,860
867
+ ุงู„ุดุญู†ุฉ ุงู„ู…ูˆุฌุจุฉ ู„ู„ู„ูŠุฒูŠู†ุŒ ูˆุงู„ุฐูŠ ูŠุฑุชุจุท ู…ุน
868
+
869
+ 254
870
+ 00:21:38,860 --> 00:21:42,000
871
+ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉุŒ ูˆูƒู…ุง ู‚ู„ู†ุง ูŠุนุทูŠู†ูŠ
872
+
873
+ 255
874
+ 00:21:42,000 --> 00:21:46,830
875
+ ุชูƒุซูŠู ู„ู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ุจูŠู†ู…ุง ุงู„ู€ Histone
876
+
877
+ 256
878
+ 00:21:46,830 --> 00:21:54,670
879
+ Acetyltransferase ูŠุถูŠู ู…ุฌู…ูˆุนุฉ Acetyl ุฅู„ู‰ ุงู„ู„ูŠุฒูŠู†
880
+
881
+ 257
882
+ 00:21:54,670 --> 00:22:00,470
883
+ ุชู…ุงู…ุŸ ูˆุงู„ุขู† ุงู„ุดุญู†ุฉ ุงู„ู…ูˆุฌุจุฉ ุงุฎุชูุชุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
884
+
885
+ 258
886
+ 00:22:00,470 --> 00:22:05,510
887
+ ูŠุนุทูŠ more relaxation ู„ู„ูƒุฑูˆู…ุงุชูŠู†
888
+
889
+ 259
890
+ 00:22:13,380 --> 00:22:16,200
891
+ ุทูŠุจุŒ ู‡ุฐุง ูƒุงู† ู…ุซุงู„ุงู‹ ุนู„ู‰ ุชุนุฏูŠู„ ุงู„ู‡ูŠุณุชูˆู†
892
+
893
+ 260
894
+ 00:22:16,200 --> 00:22:22,640
895
+ ูˆุณู†ุฃุฎุฐ ู…ุซุงู„ุงู‹ ุขุฎุฑ ุนู„ู‰ ุงู„ู€ DNAุŒ ูˆุณู†ุฑู‰ ุงู„ู€ DNA
896
+
897
+ 261
898
+ 00:22:22,640 --> 00:22:28,080
899
+ ุงู„ู…ูŠุซู„ุฉุŒ DNA methylation is the addition of a
900
+
901
+ 262
902
+ 00:22:28,080 --> 00:22:34,280
903
+ methyl group to position 5 of cytosineุŒ ุฃูŠู†
904
+
905
+ 263
906
+ 00:22:34,280 --> 00:22:38,340
907
+ ูŠูˆุฌุฏ ุงู„ุณุงูŠุชูˆุณูŠู†ุŒ ูˆูƒู…ุง ุณู†ุฑู‰ุŒ ุงู„ุดุฑุท ู‡ูˆ ุฃูŠู†
908
+
909
+ 264
910
+ 00:22:38,340 --> 00:22:44,100
911
+ ุณุชูˆุถุน ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ ุนู„ู‰ ุงู„ุณุงูŠุชูˆุณูŠู† ูู‚ุท
912
+
913
+ 265
914
+ 00:22:44,100 --> 00:22:47,320
915
+ ุซู„ุงุซุฉ ุฅู„ู‰ ุฃุฑุจุนุฉ ููŠ ุงู„ู…ุฆุฉ ู…ู† ุฌู…ูŠุน ุงู„ุณุงูŠุชูˆุณูŠู†ุงุช ููŠ ุงู„ู€ DNA ู‡ูŠ
916
+
917
+ 266
918
+ 00:22:47,320 --> 00:22:52,460
919
+ ู…ูŠุซู„ุฉุŒ ู‡ุฐู‡ ู†ุณุจุฉ ุงู„ุณุงูŠุชูˆุณูŠู†ุงุช ุงู„ู…ุฑุชุจุทุฉ ู…ุน
920
+
921
+ 267
922
+ 00:22:52,460 --> 00:22:56,480
923
+ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ุซู„ุงุซุฉ ุฅู„ู‰ ุฃุฑุจุนุฉ ุจุงู„ู…ุฆุฉ ู…ู† ุงู„ุณุงูŠุชูˆุณูŠู†ุงุช
924
+
925
+ 268
926
+ 00:22:56,480 --> 00:23:02,260
927
+ in DNA are methylatedุŒ ุงู„ุขู†ุŒ ู…ู…ูƒู† ุฃู† ุชุตุจุญ ุงู„ู…ูŠุซู„ุฉ
928
+
929
+ 269
930
+ 00:23:02,260 --> 00:23:06,700
931
+ ู„ู„ุณุงูŠุชูˆุณูŠู†ุŒ Cytosine Methylation only occurs at
932
+
933
+ 270
934
+ 00:23:06,700 --> 00:23:10,120
935
+ ู†ูˆูƒู„ูŠูˆุชูŠุฏุงุช ุงู„ุณุงูŠุชูˆุณูŠู† ุงู„ุชูŠ ุชู‚ุน ููŠ ุฎู…ุณุฉ ุจุฑุงูŠู…
936
+
937
+ 271
938
+ 00:23:10,120 --> 00:23:17,840
939
+ ุบูˆุงู†ูŠู†ุŒ ูŠุนู†ูŠ CGุŒ ูˆุชู… ุฅุถุงูุฉ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„
940
+
941
+ 272
942
+ 00:23:17,840 --> 00:23:25,720
943
+ ุฅู„ู‰ ุงู„ุณุงูŠุชูˆุณูŠู† ูู‚ุท ุฅุฐุง ูƒุงู† ุงู„ุณุงูŠุชูˆุณูŠู† ู…ูˆุฌูˆุฏุงู‹ ููŠ ุฎู…ุณุฉ
944
+
945
+ 273
946
+ 00:23:25,720 --> 00:23:31,500
947
+ ุจุฑุงูŠู… ุบูˆุงู†ูŠู† ู†ูˆูƒู„ูŠูˆุชูŠุฏุงุชุŒ ูƒ๏ฟฝ๏ฟฝุง ู‡ูˆ ูˆุงุถุญุŒ ุฃู† ุงู„ุฎู…ุณุฉ ุจุฑุงูŠู…
948
+
949
+ 274
950
+ 00:23:31,500 --> 00:23:36,720
951
+ ูˆ ุงู„ุซู„ุงุซ ุจุฑุงูŠู…ุŒ ุฅุฐุง ูƒุงู† ุงู„ู€ C
952
+
953
+ 275
954
+ 00:23:36,720 --> 00:23:42,660
955
+ ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ุฎู…ุณุฉ ุจุฑุงูŠู… ู„ู„ู€ GุŒ ุทุจุนุงู‹ ุฅู†ู‡ CGุŒ ู„ูƒู†
956
+
957
+ 276
958
+ 00:23:42,660 --> 00:23:46,400
959
+ ุงู„ู€ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ุฎู…ุณุฉ ุจุฑุงูŠู…ุŒ ุฅุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู„ู…ูŠุซู„ุฉุŒ ูƒุฐู„ูƒ ุงู„ุฃู…ุฑ ู‡ูˆ ุฃู† ุงู„ุฎู…ุณุฉ ุจุฑุงูŠู…
960
+
961
+ 277
962
+ 00:23:46,400 --> 00:23:51,500
963
+ ูˆุงู„ุซู„ุงุซุฉ ุจุฑุงูŠู…ุŒ ู‡ูˆ ุฃู† ุงู„ู€ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ุฎู…ุณุฉ
964
+
965
+ 278
966
+ 00:23:51,500 --> 00:23:57,640
967
+ ุจุฑุงูŠู… ู„ู„ุบูˆุงู†ูŠู† ุจุฌุงู†ุจู‡ุงุŒ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุงู„ู…ูŠุซู„ุฉุŒ ูˆู‡ุฐุง ู…ุง ูŠูˆุถุญ
968
+
969
+ 279
970
+ 00:23:57,640 --> 00:24:02,020
971
+ ูƒูŠูุŒ ุฃูˆ ู…ุง ูŠูˆุถุญ
972
+
973
+ 280
974
+ 00:24:02,020 --> 00:24:08,660
975
+ ุฅุถุงูุฉ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ูƒู…ุง ู‚ู„ู†ุง ุณูŠูƒูˆู† ู„ุฏูŠู†ุง
976
+
977
+ 281
978
+ 00:24:08,660 --> 00:24:12,900
979
+ ุงู„ู€ C ุฎู…ุณุฉ ุจุฑุงูŠู… ู„ู„ู€ GุŒ ูŠุนู†ูŠ ุนู„ู‰ ุงู„ุณู„ุณู„ุฉ
980
+
981
+ 282
982
+ 00:24:12,900 --> 00:24:18,000
983
+ ุงู„ุฃุฎุฑู‰ุŒ ุงู„ู€ C ุฎู…ุณุฉ ุจุฑุงูŠู… ู„ู„ู€ G
984
+
985
+ 283
986
+ 00:24:18,000 --> 00:24:22,600
987
+ ุงู„ุขุฎุฑุŒ ุงู„ู€ C ุฎู…ุณุฉ ุจุฑุงูŠู… ู„ู„ู€ G
988
+
989
+ 284
990
+ 00:24:25,730 --> 00:24:30,310
991
+ ู…ุซุงู„ ุงู„ุณุงูŠุชูˆุณูŠู†ุŒ ุฏูŠ ุฃู…ูŠู†ุงุช ุชู„ู‚ุงุฆูŠุงู‹ุŒ ูˆูŠู†ุชู‡ูŠ
992
+
993
+ 285
994
+ 00:24:30,310 --> 00:24:37,050
995
+ ุจุงู„ุชุญูˆูŠู„ ู…ู† C ุฅู„ู‰ TุŒ ุนู…ู„ูŠุฉ ุงู„ู…ูŠุซู„ุฉ ุงู„ุชูŠ
996
+
997
+ 286
998
+ 00:24:37,050 --> 00:24:45,170
999
+ ุชุญุฏุซ ู„ู„ุณุงูŠุชูˆุณูŠู†ุŒ ู‚ุฏ ุชุญูˆู„ู‡ุง ุฅู„ู‰ ุซุงูŠู…ูŠู†
1000
+
1001
+ 287
1002
+ 00:24:46,750 --> 00:24:51,650
1003
+ ู‡ูŠ ุนู…ู„ูŠุฉ ุงู„ู…ูŠุซู„ุฉ ุงู„ุชูŠ ุชุญุฏุซ ู„ู„ุณุงูŠุชูˆุณูŠู†
1004
+
1005
+ 288
1006
+ 00:24:51,650 --> 00:24:59,410
1007
+ ู‚ุฏ ุชูุญุฏุซ ู„ูŠ ุงู†ุชู‚ุงู„ุงู‹ุŒ ุชุญูˆูŠู„ ุงู„ู€ C ุฅู„ู‰ TุŒ ูƒู…ุง
1008
+
1009
+ 289
1010
+ 00:24:59,410 --> 00:25:06,270
1011
+ ูŠุธู‡ุฑ ููŠ ุงู„ุดูƒู„ ู‡ู†ุงุŒ ู‡ู†ุง ุงู„ุซุงูŠู…ูŠู†ุŒ ูˆู‡ู†ุง
1012
+
1013
+ 290
1014
+ 00:25:06,270 --> 00:25:13,330
1015
+ ุงู„ู€ ุณุงูŠุชูˆุณูŠู†ุŒ ูˆุงู„ูุฑู‚ ุจูŠู† ุงู„ุซุงูŠู…ูŠู† ูˆุจูŠู† ุงู„ู€
1016
+
1017
+ 291
1018
+ 00:25:13,330 --> 00:25:19,720
1019
+ ุณุงูŠุชูˆุณูŠู† ูƒู…ุง ุชุฑูˆู†ุŒ ู‡ู†ุง ูŠูˆุฌุฏ ุงู„ู€
1020
+
1021
+ 292
1022
+ 00:25:19,720 --> 00:25:25,620
1023
+ ุฑุงุจุทุฉ ุซู†ุงุฆูŠุฉุŒ ูˆุงู„ู€ C ุฑุงุจุทุฉ ุซู†ุงุฆูŠุฉ ู…ุน OุŒ ุทุจุนุงู‹ ู…ุน
1024
+
1025
+ 293
1026
+ 00:25:25,620 --> 00:25:33,160
1027
+ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ูˆู‡ู†ุง ุทุจุนุงู‹ ููŠ ุงู„ู€ ุณุงูŠุชูˆุณูŠู† ูŠูˆุฌุฏ
1028
+
1029
+ 294
1030
+ 00:25:33,160 --> 00:25:35,080
1031
+ ุงู„ุฑุงุจุทุฉ ุงู„ุซู†ุงุฆูŠุฉุŒ ุฅุฐุง ู‚ุงุฑู†ุงู‡ุง
1032
+
1033
+ 295
1034
+ 00:25:35,080 --> 00:25:39,700
1035
+ ุจุงู„ุซุงูŠู…ูŠู†ุŒ ู‡ู†ุง ุงู„ุฑุงุจุทุฉ ุงู„ุซู†ุงุฆูŠุฉ OุŒ ู„ูŠุณุช ู…ูˆุฌูˆุฏุฉ
1036
+
1037
+ 296
1038
+ 00:25:39,700 --> 00:25:42,920
1039
+ ู‡ู†ุง ูŠูˆุฌุฏ ู…ุฌู…ูˆุนุฉ ุงู„ุฃู…ูŠู†ุŒ ูˆุทุจุนุงู‹ ููŠ ุงู„ุซุงูŠู…ูŠู†
1040
+
1041
+ 297
1042
+ 00:25:42,920 --> 00:25:48,790
1043
+ ูŠูˆุฌุฏ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ูŠุจู‚ู‰ ุงู„ุณุงูŠุชูˆุณูŠู†
1044
+
1045
+ 298
1046
+ 00:25:48,790 --> 00:25:53,330
1047
+ ุฅุฐุง ุญุฏุซ ู„ู‡ุง ู…ูŠุซู„ุฉุŒ ูˆุฃุถูŠู ู„ู‡ุง ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ
1048
+
1049
+ 299
1050
+ 00:25:53,330 --> 00:25:57,550
1051
+ ู…ู…ูƒู† ู„ู„ุณุงูŠุชูˆุณูŠู† ุฃู† ูŠุญุฏุซ ู„ู‡ุง ุจุนุฏ ุฐู„ูƒ
1052
+
1053
+ 300
1054
+ 00:25:57,550 --> 00:26:03,170
1055
+ ุฅุฒุงู„ุฉ ุฃู…ูŠู†ูŠุฉุŒ ูˆุชุชุญูˆู„ ุฅู„ู‰ ุซุงูŠู…ูŠู†ุŒ ูˆุงู„ููƒุฑุฉ ู‡ุฐุง ูŠูˆุถุญ
1056
+
1057
+ 301
1058
+ 00:26:03,170 --> 00:26:06,990
1059
+ ูƒูŠู ุงู„ุณุงูŠุชูˆุณูŠู† ู…ู…ูƒู† ุชุชุญูˆู„ ุฅู„ู‰ ุซุงูŠู…ูŠู†ุŒ ู‡ูŠุง ุฃู†
1060
+
1061
+ 302
1062
+ 00:26:06,990 --> 00:26:09,910
1063
+ ุงู„ ุณุงูŠุชูˆุณูŠู†ุŒ ูƒู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง ู…ูŠุซู„ุฉุŒ
1064
+
1065
+ 303
1066
+ 00:26:09,910 --> 00:26:15,560
1067
+ ูŠุถุงู ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ุงู„ุขู† ู„ูˆ ุญุฏุซุช ุฅุฒุงู„ุฉ ุฃู…ูŠู†ูŠุฉ
1068
+
1069
+ 304
1070
+ 00:26:15,560 --> 00:26:17,960
1071
+ ู†ุฒุน ู…ุฌู…ูˆุนุฉ ุงู„ุฃู…ูŠู† ุงู„ุชูŠ
1072
+
1073
+ 305
1074
+ 00:26:17,960 --> 00:26:22,940
1075
+ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŒ ูŠุจู‚ู‰ ุงู„ุณุงูŠุชูˆุณูŠู†ุŒ ุฃูˆ ุงู„ุชูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1076
+
1077
+ 306
1078
+ 00:26:22,940 --> 00:26:27,020
1079
+ ู…ุซุงู„ ุงู„ุณุงูŠุชูˆุณูŠู† ุณุชุชุญูˆู„ ุฅู„ู‰ ุซุงูŠู…ูŠู†ุŒ ูŠุจู‚ู‰
1080
+
1081
+ 307
1082
+ 00:26:27,020 --> 00:26:31,260
1083
+ ุงู„ู…ูŠุซู„ุฉ ู„ู„ุณุงูŠุชูˆุณูŠู† ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ุง
1084
+
1085
+ 308
1086
+ 00:26:31,260 --> 00:26:34,960
1087
+ ุงู„ุงู†ุชู‚ุงู„ ู…ู† ุณุงูŠุชูˆุณูŠู† ุฅู„ู‰ ุซุงูŠู…ูŠู†
1088
+
1089
+ 309
1090
+ 00:26:46,700 --> 00:26:52,480
1091
+ ุงู„ู€ CG Clusters ุฃูˆ ู…ุง ูŠุณู…ู‰ ุจู€ CG Islands are
1092
+
1093
+ 310
1094
+ 00:26:52,480 --> 00:26:56,400
1095
+ ุชู‚ุน ููŠ ู…ู†ุทู‚ุฉ ุงู„ู…ูู†ุดูุท ู„ู€ 50% ู…ู† ุงู„ุฌูŠู†ุงุช ุงู„ุจุดุฑูŠุฉ
1096
+
1097
+ 311
1098
+ 00:26:56,400 --> 00:27:00,860
1099
+ ูŠุนู†ูŠ ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ูˆุฌุฏูˆุง ุฃู† ู‡ุฐู‡
1100
+
1101
+ 312
1102
+ 00:27:00,860 --> 00:27:07,520
1103
+ ุงู„ุชุฌู…ุนุงุช ู…ูˆุฌูˆุฏุฉ ููŠ 50% ู…ู† ุงู„ุฌูŠู†ุงุช ุงู„ุจุดุฑูŠุฉุŒ ูˆู…ู†
1104
+
1105
+ 313
1106
+ 00:27:07,520 --> 00:27:11,220
1107
+ ุงู„ู…ู†ุงุทู‚
1108
+
1109
+ 314
1110
+ 00:27:11,220 --> 00:27:17,430
1111
+ ุงู„ุชูŠ ุชูˆุฌุฏ ููŠู‡ุง ุฌุฒุฑ ุงู„ู€ CBGุŒ ูˆู…ุง ูŠุญุฏุซ ู…ู†
1112
+
1113
+ 315
1114
+ 00:27:17,430 --> 00:27:21,970
1115
+ ู…ูŠุซู„ุฉ ู„ู„ุณุงูŠุชูˆุณูŠู†ุงุช ููŠ ู…ู†ุงุทู‚ ุงู„ู…ูู†ุดูุท
1116
+
1117
+ 316
1118
+ 00:27:21,970 --> 00:27:26,070
1119
+ ุนู„ู‰ ุงู„ูƒุฑูˆู…ูˆุณูˆู… XุŒ ูˆู‡ูˆ ุงู„ูƒุฑูˆู…ูˆุณูˆู… ุงู„ุฐูŠ ูŠุญุชูˆูŠ ุนู„ู‰ ุฌูŠู†ุงุช ุบูŠุฑ ูุนุงู„ุฉ
1120
+
1121
+ 317
1122
+ 00:27:26,070 --> 00:27:32,130
1123
+ ุนู„ู‰ ุงู„ูƒุฑูˆู…ูˆุณูˆู… XุŒ ุฃูˆ ุฃูŠุถุงู‹ ููŠ ุงู„ุฌูŠู†ุงุช ุงู„ู…ูุทุจูˆุนุฉ
1124
+
1125
+ 318
1126
+ 00:27:32,130 --> 00:27:32,790
1127
+ genes
1128
+
1129
+ 319
1130
+ 00:27:38,960 --> 00:27:41,740
1131
+ ุจุดูƒู„ ุนุงู…ุŒ ุฌุฒุฑ ุงู„ู€ CG ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุฌูŠู†ุงุช
1132
+
1133
+ 320
1134
+ 00:27:41,740 --> 00:27:46,380
1135
+ ู…ู†ุงุทู‚ ุงู„ู…ูู†ุดูุท ู„ูŠุณุช ู…ูŠุซู„ุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠู…ูƒู†
1136
+
1137
+ 321
1138
+ 00:27:46,380 --> 00:27:51,150
1139
+ ุฃู† ูŠูƒูˆู† ู„ุฏูŠู†ุง ุฌูŠู† ู†ุดุทุŒ ู„ูƒู† ุงู„ุณุงูŠุชูˆุณูŠู†ุงุช ุงู„ู…ูŠุซู„ุฉ
1140
+
1141
+ 322
1142
+ 00:27:51,150 --> 00:27:54,730
1143
+ ุชูˆุฌุฏ ุฃุณุงุณุงู‹ ููŠ ุงู„ุชุณู„ุณู„ุงุช ุงู„ู…ุชูƒุฑุฑุฉ
1144
+
1145
+ 323
1146
+ 00:27:54,730 --> 00:27:57,990
1147
+ ูˆููŠ ุฌุฒุฑ ุงู„ู€ CG ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู…ู†ุทู‚ุฉ ุงู„ู…ูู†ุดูุท
1148
+
1149
+ 324
1150
+ 00:27:57,990 --> 00:28:02,190
1151
+ ู„ู„ุฌูŠู†ุงุช ุงู„ู…ูุณูƒุชุฉุŒ ูŠุจู‚ู‰ ุงู„ุฌูŠู† ุฅุฐุง ูƒุงู† ู…ุณูƒูˆุชุงู‹ุŒ ุจุงุณุชุซู†ุงุก
1152
+
1153
+ 325
1154
+ 00:28:02,190 --> 00:28:05,590
1155
+ ูŠูƒูˆู† ู„ุฏูŠู†ุง ุฌุฒุฑ ุงู„ู€ CG
1156
+
1157
+ 326
1158
+ 00:28:05,590 --> 00:28:09,250
1159
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู…ู†ุทู‚ุฉ ุงู„ู…ูู†ุดูุท ุชูƒูˆู† ู…ูŠุซู„ุฉุŒ ูˆุจุงู„ุชุงู„ูŠ
1160
+
1161
+ 327
1162
+ 00:28:09,250 --> 00:28:12,910
1163
+ ู‡ุฐุง ูŠูุณูƒุช ุงู„ุฌูŠู†
1164
+
1165
+ 328
1166
+ 00:28:14,600 --> 00:28:18,660
1167
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุงุชุŒ ุงู„ู…ูŠุซู„ุฉ ู‡ูŠ ุฅุดุงุฑุฉ ุชู†ุธูŠู…ูŠุฉ ู…ุฑุชุจุทุฉ
1168
+
1169
+ 329
1170
+ 00:28:18,660 --> 00:28:25,100
1171
+ ู…ุน ุชุนุฏูŠู„ุงุช ูƒุฑูˆู…ุงุชูŠู†ูŠุฉ ูˆุชุญุงูุธ ุนู„ู‰ ุฅุบู„ุงู‚
1172
+
1173
+ 330
1174
+ 00:28:25,100 --> 00:28:25,580
1175
+ ุงู„ุฌูŠู†
1176
+
1177
+ 331
1178
+ 00:28:28,340 --> 00:28:33,840
1179
+ ูˆูƒุฐู„ูƒ ู‡ุฐุง ู…ุฑุชุจุท ุฃูŠุถุงู‹ ุจุจู†ูŠุฉ ุงู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ูŠูƒูˆู†
1180
+
1181
+ 332
1182
+ 00:28:33,840 --> 00:28:37,740
1183
+ ู„ุฏูŠู†ุง ุจู†ูŠุฉ ุงู„ูƒุฑูˆู…ุงุชูŠู† more
1184
+
1185
+ 333
1186
+ 00:28:37,740 --> 00:28:42,680
1187
+ ู…ุชุฑุงุตุฉุŒ ูˆุชุญุฏุซู†ุง ู‚ุจู„ ู‚ู„ูŠู„ ุนู† ุฅู†ุฒูŠู…ุงุช ุงู„ุชุนุฏูŠู„
1188
+
1189
+ 334
1190
+ 00:28:42,680 --> 00:28:47,000
1191
+ ู‡ุฐู‡ ุชุนู…ู„ ู…ุนุงู‹ุŒ ูˆูƒู…ุง ุณู†ุฑู‰
1192
+
1193
+ 335
1194
+ 00:28:47,000 --> 00:28:52,600
1195
+ ุจุนุฏ ู‚ู„ูŠู„ ู…ุซุงู„ุงู‹ ุนู„ู‰ ุฅู†ุฒูŠู…ุงุช
1196
+
1197
+ 336
1198
+ 00:28:52,600 --> 00:28:57,980
1199
+ ุชุณู…ู‰ DNA methyl transferases DNMT
1200
+
1201
+ 337
1202
+ 00:29:00,370 --> 00:29:05,590
1203
+ ู‡ุฐู‡ ุชุนู…ู„ ุนู„ู‰ ู†ู‚ู„ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ Mediate
1204
+
1205
+ 338
1206
+ 00:29:05,590 --> 00:29:09,150
1207
+ the covalent addition of a methyl group from the
1208
+
1209
+ 339
1210
+ 00:29:09,150 --> 00:29:14,510
1211
+ methyl carrier S-adenosylmethonineุŒ ูู‡ูŠ
1212
+
1213
+ 340
1214
+ 00:29:14,510 --> 00:29:20,690
1215
+ ุฅู†ุฒูŠู…ุŒ ูˆู‡ูŠ ู†ุงู‚ู„ุฉ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ุงู„ุฅู†ุฒูŠู… ุงู„ุฐูŠ
1216
+
1217
+ 341
1218
+ 00:29:20,690 --> 00:29:24,490
1219
+ ู‡ูˆ DNA methyl transferase ูŠุฃุฎุฐ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„
1220
+
1221
+ 342
1222
+ 00:29:24,490 --> 00:29:28,270
1223
+ ู…ู† ุงู„ู†ุงู‚ู„ ุงู„ุฐูŠ ู‡ูˆ S-Adenosyl Methionine
1224
+
1225
+ 343
1226
+ 00:29:28,270 --> 00:29:35,210
1227
+ ูˆูŠุถูŠูู‡ุง ุฅู„ู‰ ุงู„ุณุงูŠุชูˆุณูŠู†ุŒ It has been suggested that
1228
+
1229
+ 344
1230
+ 00:29:35,210 --> 00:29:37,890
1231
+ ุงู„ุขู„ูŠุฉ ุงู„ุชูŠ ุชุนู…ู„ ุจู‡ุง ุงู„ู…ูŠุซู„ุฉ ููŠ
1232
+
1233
+ 345
1234
+ 00:29:37,890 --> 00:29:42,830
1235
+ ุงู„ุณูƒูˆุช ู‡ูŠ ุจุฌุฐุจ ุจุฑูˆุชูŠู†ุงุช ู…ุฌุงู„ ุงู„ุงุฑุชุจุงุท ุจุงู„ู…ูŠุซูŠู„
1236
+
1237
+ 346
1238
+ 00:29:42,830 --> 00:29:47,710
1239
+ ูˆุงู„ุชูŠ ุซุจุช ุฃู†ู‡ุง ุชุชูุงุนู„ ู…ุน
1240
+
1241
+ 347
1242
+ 00:29:47,710 --> 00:29:53,490
1243
+ ู‡ุณุชูˆู† ุฏูŠุงุณุชูŠู„ุŒ ูˆุฅู†ุฒูŠู… ุฅุนุงุฏุฉ ุชุดูƒูŠู„ ุงู„ูƒุฑูˆู…ุงุชูŠู†
1244
+
1245
+ 348
1246
+ 00:29:53,490 --> 00:29:57,490
1247
+ ุชู…ุงู…ุŸ ุจุฌู‡ุฏุŒ ูƒู…ุง ู‚ู„ู†ุงุŒ ุฅู†ุฒูŠู…ุงุช ุงู„ู€
1248
+
1249
+ 349
1250
+ 00:29:57,490 --> 00:30:03,150
1251
+ ุฅุจูŠุฌูŠู†ูˆู…ูŠุฉุŒ ุฅู†ุฒูŠู…ุงุช ุฅุนุงุฏุฉ ุงู„ุชุดูŠูƒู„ ุชุนู…ู„ ู…ุน ุจุนุถู‡ุง
1252
+
1253
+ 350
1254
+ 00:30:03,150 --> 00:30:07,340
1255
+ ุงู„ุจุนุถุŒ ุจุญูŠุซ ุฃู† DNA methyltransferase
1256
+
1257
+ 351
1258
+ 00:30:07,340 --> 00:30:10,760
1259
+ ุงู„ุฐูŠ ูŠุญู…ู„ ู…ุฌู…ูˆุนุฉ ุงู„ู…ูŠุซูŠู„ุŒ ูŠูˆุฌุฏ ู…ุงูŠุณู…ู‰ ุจุงู„ุฌุฐุจ
1260
+
1261
+ 352
1262
+ 00:30:10,760 --> 00:30:14,680
1263
+ ู„ู…ุง ูŠูุณู…ู‰ ุจู€ ู…ุฌุงู„ ุงู„ุงุฑุชุจุงุท ุจุงู„ู…ูŠุซูŠู„
1264
+
1265
+ 353
1266
+ 00:30:14,680 --> 00:30:18,460
1267
+ ุงู„ุจุฑูˆุชูŠู†ุŒ ูˆ ุงู„ุฐูŠ ูŠูุญุฏุซ ุชูุงุนู„ุงู‹
1268
+
1269
+ 354
1270
+ 00:30:18,460 --> 00:30:22,000
1271
+ ู…ุน ู‡ูŠุณุชูˆู† ุฏูŠุงุณุชูŠู„ุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุญุฏุซ ู†ุฒุน
1272
+
1273
+ 355
1274
+ 00:30:22,000 --> 00:30:26,620
1275
+ ู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณูŠุชูŠู„ุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ูƒุฑูˆู…ุงุชูŠู† ูŠุตุจุญ ุฃูƒุซุฑ
1276
+
1277
+ 356
1278
+ 00:30:26,620 --> 00:30:30,240
1279
+ ุชุฑุงุตุงู‹ุŒ ูŠุจู‚ู‰ ุงู„ู…ูŠุซู„ุฉุŒ ูƒู…ุง ู‚ู„ู†ุง
1280
+
1281
+ 357
1282
+ 00:30:30,240 --> 00:30:34,620
1283
+ ู‚ุจู„ ู‚ู„ูŠู„ุŒ ูŠุฌุนู„ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุฃูƒุซุฑ ุชุฑุงุตุงู‹
1284
+
1285
+ 358
1286
+ 00:30:36,300 --> 00:30:41,920
1287
+ ุจุงู„ุชุงู„ูŠุŒ ุชู†ุธูŠู… ุงู„ู†ุณุฎ ุงู„ุฅุจูŠุฌูŠู†ูŠ ูŠุญุชุงุฌ ุฅู„ู‰ ู…ู†ุงู‚ุดุฉ
1288
+
1289
+ 359
1290
+ 00:30:41,920 --> 00:30:48,080
1291
+ ุจูŠู† ุงู„ู…ูŠุซู„ุฉ ูˆุงู„ูƒุฑูˆู…ุงุชูŠู†ุŒ ู„ุชุตู…ูŠู… ุงู„ุฅู†ุฒูŠู… ูˆุงู„ู‡ูŠุณุชูˆู†ุงุช
1292
+
1293
+ 360
1294
+ 00:30:48,080 --> 00:30:53,180
1295
+ ุชู…ุงู…ุŸ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ู†ุงูƒ ู…ู†ุงู‚ุดุฉ ุจูŠู† ู‡ุฐู‡
1296
+
1297
+ 361
1298
+ 00:30:53,180 --> 00:30:56,220
1299
+ ุงู„ุฃู†ุฒูŠู…ุงุช
1300
+
1301
+ 362
1302
+ 00:30:56,220 --> 00:30:58,000
1303
+ ุงู„ู…ุฎุชู„ูุฉ
1304
+
1305
+ 363
1306
+ 00:31:01,850 --> 00:31:07,250
1307
+ ูŠุจู‚ู‰ ูˆุงู„ููƒุฑุฉ ู‡ุฐุง ูŠูˆุถุญ ูƒู…ุง ู‚ู„ู†ุงุŒ ุฅุฐุง ูƒุงู†
1308
+
1309
+ 364
1310
+ 00:31:07,250 --> 00:31:12,850
1311
+ ููŠ ุงู„ุฌุงู†ุจ ุงู„ุนู„ูˆูŠุŒ ุฅุฐุง ุญุฏุซุช ู…ูŠุซู„ุฉ
1312
+
1313
+ 365
1314
+ 00:31:13,680 --> 00:31:20,120
1315
+ ู„ู„ู€ DNAุŒ ุนู† ุทุฑูŠู‚ ุงู„ู€ DMT1 ูƒู…ุง ู‚ู„ู†ุงุŒ ู‡ุฐุง
1316
+
1317
+ 366
1318
+ 00:31:20,120 --> 00:31:25,580
1319
+ ูŠูุญุฏุซ ุชุฌู†ูŠุฏุงู‹ ู„ู€ histone-d-acetylaseุŒ ูˆุจุงู„ุชุงู„ูŠ
1320
+
1321
+ 367
1322
+ 00:31:25,580 --> 00:31:28,980
1323
+ ู†ุฒุน ู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณูŠุชูŠู„ุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุฌุนู„
1324
+
1325
+ 368
1326
+ 00:31:28,980 --> 00:31:32,580
1327
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุฃูƒุซุฑ ุชุฑุงุตุงู‹ุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ุณูƒูˆุชุงู‹
1328
+
1329
+ 369
1330
+ 00:31:32,580 --> 00:31:38,800
1331
+ ุจูŠู†ู…ุงุŒ ููŠ ุญุงู„ุฉ ุนุฏู… ูˆุฌูˆุฏ ุงู„ู€
1332
+
1333
+ 370
1334
+ 00:31:38,800 --> 00:31:44,780
1335
+ ู…ูŠุซู„ุฉุŒ ูˆููŠ ูˆุฌูˆุฏ ุงู„ู€ Histone acetyltransferase
1336
+
1337
+ 371
1338
+ 00:31:44,780 --> 00:31:49,920
1339
+ ูŠุชู… ุฅุถุงูุฉ ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณูŠุชูŠู„ ุฅู„ู‰ ุงู„ู‡ูŠุณุชูˆู†ุงุชุŒ ูˆู‡ุฐุง
1340
+
1341
+ 372
1342
+ 00:31:49,920 --> 00:31:53,740
1343
+ ูŠุฌุนู„ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุฃูƒุซุฑ ุงุฑุชุฎุงุกู‹ุŒ ูˆูŠูุญุฏุซ
1344
+
1345
+ 373
1346
+ 00:31:53,740 --> 00:31:57,120
1347
+ ุชุฌู†ูŠุฏุงู‹ ู„ุนูˆุงู…ู„ ุงู„ู†ุณุฎุŒ ูˆู„ู€ RNA
1348
+
1349
+ 374
1350
+ 00:31:57,120 --> 00:32:01,140
1351
+ ุจูˆู„ูŠู…ูŠุฑูŠุฒุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ูŠุนุชุจุฑ ูƒุฑูˆู…ุงุชูŠู† ู†ุดุท
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/CIlA_XHwIIE_postprocess.srt ADDED
@@ -0,0 +1,1496 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,870 --> 00:00:06,850
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ chromatin structure ูˆูƒูŠู ู…ู…ูƒู† ูŠุฃุซุฑ
4
+
5
+ 2
6
+ 00:00:06,850 --> 00:00:12,890
7
+ ุนู„ู‰ ุงู„ gene expression ุทุจุนุง ุงู„ chromatin structure
8
+
9
+ 3
10
+ 00:00:12,890 --> 00:00:19,810
11
+ ูˆ ู…ู† ุฎู„ุงู„ ูƒูˆู†ู‡ compact or relaxed ู‡ุฐุง ุจูŠู„ุนุจ ุฏูˆุฑ
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:24,750
15
+ ู…ู‡ู… ููŠ ุงู„ genes ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุตู„ ู„ู‡ุง expression ุฃูˆ
16
+
17
+ 5
18
+ 00:00:24,750 --> 00:00:28,990
19
+ silencingูŠุจู‚ู‰ degree of compaction or relaxation
20
+
21
+ 6
22
+ 00:00:28,990 --> 00:00:32,830
23
+ of a chromatin determines how readily the DNA in a
24
+
25
+ 7
26
+ 00:00:32,830 --> 00:00:35,510
27
+ protein in a portion of chromatin can be
28
+
29
+ 8
30
+ 00:00:35,510 --> 00:00:40,610
31
+ transcribed ุฅุฐุง ูƒุงู† ู‚ูˆู„ู†ุง ุฅู†ู‡ ุงู„ .. ุงู„ู…ู†ุทู‚ุฉ ู…ู† ุงู„
32
+
33
+ 9
34
+ 00:00:40,610 --> 00:00:44,570
35
+ chromatin is highly compact ุชู…ุงู… ูŠุจู‚ู‰ hand cannot
36
+
37
+ 10
38
+ 00:00:44,570 --> 00:00:48,610
39
+ be transcribed ูˆุจุงู„ุชุงู„ูŠ it is transcriptionally
40
+
41
+ 11
42
+ 00:00:48,610 --> 00:00:55,130
43
+ silent ู„ุฃู†ู‡ highly compact ุชู…ุงู… ุงู„ู…ู†ุทู‚ุฉ ู…ุถุบูˆุทุฉ
44
+
45
+ 12
46
+ 00:00:55,130 --> 00:01:01,830
47
+ ุจุดูƒู„ ูƒุจูŠุฑูˆุจุงู„ุชุงู„ูŠ ุตุนุจ ุฅู†ู‡ ูŠุตูŠุฑ ููŠู†ุง access ู„ู„ู€
48
+
49
+ 13
50
+ 00:01:01,830 --> 00:01:05,230
51
+ Transcription Factors ูˆ ุงู„ู€ Proteinุงุช ุงู„ุฃุฎุฑู‰
52
+
53
+ 14
54
+ 00:01:05,230 --> 00:01:10,550
55
+ ูˆุจุงู„ุชุงู„ูŠ ุงุณุชุฏุนุงุก ู„ู„ู€ RNAs ุนุดุงู† ู„ู„ู€ RNA Polymerase
56
+
57
+ 15
58
+ 00:01:10,550 --> 00:01:16,770
59
+ ุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง Transcription ุจูŠู†ู…ุง ุงู„ู…ู†ุงุทู‚ ู…ู† ุงู„ู€
60
+
61
+ 16
62
+ 00:01:16,770 --> 00:01:20,750
63
+ Chromatin ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ more relaxed chromatin is
64
+
65
+ 17
66
+ 00:01:20,750 --> 00:01:26,400
67
+ accessible for Transcriptionุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
68
+
69
+ 18
70
+ 00:01:26,400 --> 00:01:34,600
71
+ Relax ุงู„ู„ูŠ ู…ุด ู…ุถุบูˆุทุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฑุฎูŠุฉ ุจูŠูƒูˆู† ุณู‡ู„ ุฅู†ู‡
72
+
73
+ 19
74
+ 00:01:34,600 --> 00:01:38,140
75
+ ูŠุตู„ ู„ุฅู†ู†ุง ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุฎุชู„ูุฉ ูˆุงู„ุฃุฑู†ุจ ูˆุงู„ู…ุฑุงูŠุฒ
76
+
77
+ 20
78
+ 00:01:38,140 --> 00:01:42,140
79
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ transcription ูŠุจู‚ู‰ ุงู„ chromatin
80
+
81
+ 21
82
+ 00:01:42,140 --> 00:01:47,720
83
+ structure ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ุฌูŠู† expression the
84
+
85
+ 22
86
+ 00:01:47,720 --> 00:01:50,900
87
+ structure of a chromatin from compacted to relaxed
88
+
89
+ 23
90
+ 00:01:50,900 --> 00:01:55,740
91
+ can't changeูˆู‡ูŠ ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุชุฌุนู„ู‡ุง ุชุญุชูˆูŠ ุนู„ู‰
92
+
93
+ 24
94
+ 00:01:55,740 --> 00:02:01,960
95
+ ู‚ูˆุฉ ุนุงู…ุฉ ููŠ ุงู„ุชุฑุงู†ุณูŠุจ ูŠุจู‚ู‰ ุงู„ุฃู† ูƒูˆู† ุงู„ุฌุฒุก ู…ู†
96
+
97
+ 25
98
+ 00:02:01,960 --> 00:02:06,160
99
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ู‡ู„ ู‡ูˆ compact ุฃูˆ relaxed ู‡ุฐุง ู…ู…ูƒู† ูŠุชุบูŠุฑ
100
+
101
+ 26
102
+ 00:02:06,160 --> 00:02:13,640
103
+ ูˆู…ู…ูƒู† ูŠุชุบูŠุฑ ู…ู† ุฎู„ุงู„ ุฅุฑุชุจุงุท ู…ุฌู…ูˆุนุฉ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
104
+
105
+ 27
106
+ 00:02:13,640 --> 00:02:19,120
107
+ Acetylation ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ู…ู…ูƒู† ุชุฑุชุจุท ู…ุน ุงู„ู€
108
+
109
+ 28
110
+ 00:02:19,120 --> 00:02:23,420
111
+ Hestones ูˆู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Chromatin ุงู„ู€
112
+
113
+ 29
114
+ 00:02:23,420 --> 00:02:28,920
115
+ Structure ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู€ Chromatin confirmation
116
+
117
+ 30
118
+ 00:02:28,920 --> 00:02:32,600
119
+ is encoded by heritable epigenetic modifications
120
+
121
+ 31
122
+ 00:02:32,600 --> 00:02:38,140
123
+ ุฅุจู‡ุงู† ู…ุง ู„ู‡ูˆุด ุนู„ุงู‚ุฉ ุจุชุบูŠุฑ ุจู€ sequence ุฒูŠ ู…ุง ู‚ู„ู†ุง
124
+
125
+ 32
126
+ 00:02:38,140 --> 00:02:43,460
127
+ ุจู‡ูˆ ู‡ุงู† ุนุจุงุฑุฉ ุนู† EpigeneticsุฃูŠ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ DNA
128
+
129
+ 33
130
+ 00:02:43,460 --> 00:02:49,440
131
+ Sequence ู„ูƒู† ุนู†ุฏู†ุง ุฅู…ุง expression ู„ุฌู†ุณ ุฃูˆ
132
+
133
+ 34
134
+ 00:02:49,440 --> 00:02:56,180
135
+ silencing ู„ุฌู†ุณ ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:56,180 --> 00:03:00,480
139
+ ุงู„ููŠุฌุฑ ูŠูˆุถุญ ุจุนุถ ุงู„ู€ Epigenetic Mechanisms
140
+
141
+ 36
142
+ 00:03:04,860 --> 00:03:08,700
143
+ ุงู„ุฃูŠุจูŠุฌูŠู†ูŠุงุชูŠูƒูŠุฉ ุชุชุฃุซุฑ ุนู„ู‰ ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ูˆุงู„ุณู„ุณู„ุงุช
144
+
145
+ 37
146
+ 00:03:08,700 --> 00:03:12,440
147
+ ุจู‡ุง ุฏูŠ ู…ู…ูƒู† ูŠุคุซุฑ ูุนู„ูŠุง ุนู„ู‰ ุงู„ู€ Epigenetics ูŠุนู…ู„
148
+
149
+ 38
150
+ 00:03:12,440 --> 00:03:17,620
151
+ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ expression ู„ู„ุฌูŠู†ุงุช ููŠ ุนู†ุฏู†ุง ุงู„
152
+
153
+ 39
154
+ 00:03:17,620 --> 00:03:21,420
155
+ development ุงู„ environmental chemicals ุจุนุถ
156
+
157
+ 40
158
+ 00:03:21,420 --> 00:03:25,280
159
+ ุงู„chemicals ู…ู…ูƒู† ูŠุชุฃุซุฑ ูˆูŠุชุบูŠุฑ ููŠ ุงู„ Epigenetics
160
+
161
+ 41
162
+ 00:03:25,280 --> 00:03:32,430
163
+ ู„ุฏุฑุงุฌุงุชุงู„ู€ Aging ูˆุฃูŠุถู‹ุง ุงู„ู€ ุถูŠุถ ุจูŠุฏ ูƒู„ู‡ุง ูุนู„ูŠู‹ุง
164
+
165
+ 42
166
+ 00:03:32,430 --> 00:03:37,010
167
+ ุนู…ู„ูŠุงุช ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Epigenetics ูˆุจุงู„ุชุงู„ูŠ
168
+
169
+ 43
170
+ 00:03:37,010 --> 00:03:42,810
171
+ ููŠ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุนู†ุฏู†ุง ุงู„ู€
172
+
173
+ 44
174
+ 00:03:42,810 --> 00:03:48,050
175
+ methylation ู„ู€ ุงู„ DNA ุจุฑุถู‡ ู‡ุฐู‡ ุชุนุชุจุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
176
+
177
+ 45
178
+ 00:03:48,050 --> 00:03:52,900
179
+ Methyl group ุชุนุชุจุฑ an epigenetic factorูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
180
+
181
+ 46
182
+ 00:03:52,900 --> 00:03:55,620
183
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ diet ู…ู…ูƒู† ูŠุนู…ู„ ุชุบูŠูŠุฑ ูˆูุนู„ูŠุง ุงู„ู€ methyl
184
+
185
+ 47
186
+ 00:03:55,620 --> 00:04:00,400
187
+ group ู…ูˆุฌูˆุฏุฉ in some dietary sources ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู
188
+
189
+ 48
190
+ 00:04:00,400 --> 00:04:04,880
191
+ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ methylation ู…ู…ูƒู† ูŠุบูŠุฑ ู…ู† ุงู„
192
+
193
+ 49
194
+ 00:04:04,880 --> 00:04:14,000
195
+ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ู‡ุงู†ุง
196
+
197
+ 50
198
+ 00:04:14,000 --> 00:04:19,240
199
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„acetylationุŒ ุชู…ุงู…ุŒ ุจุฑุถู‡ุทุจุนุง ู…ู…ูƒู†
200
+
201
+ 51
202
+ 00:04:19,240 --> 00:04:23,540
203
+ ุชู„ุนุจ ุฏูˆุฑ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู† ุจุฑุถู‡ ูƒู…ุงู† ุดูˆูŠุฉ ูˆ ู‡ุฐู‡
204
+
205
+ 52
206
+ 00:04:23,540 --> 00:04:27,340
207
+ ุงู„ุนู…ู„ูŠุงุช ุทุจุนุง ุจุชุฃุซุฑ ุจูŠ ุงู†ู‡ุง ุนู„ู‰ ุงู„ health ูŠุนู†ูŠ
208
+
209
+ 53
210
+ 00:04:27,340 --> 00:04:30,540
211
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancer ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ autoimmune
212
+
213
+ 54
214
+ 00:04:30,540 --> 00:04:34,700
215
+ disease mental disorders ุฃูˆ ุจูŠุจูŠุชุณ ู‡ุฐุง ูƒู„ู‡ ู…ู…ูƒู†
216
+
217
+ 55
218
+ 00:04:34,700 --> 00:04:39,920
219
+ ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ูˆ ุงู„ epigenetic factors ุงู„ู…ุฎุชู„ูุฉ
220
+
221
+ 56
222
+ 00:04:39,920 --> 00:04:46,820
223
+ ุทูŠุจ
224
+
225
+ 57
226
+ 00:04:46,970 --> 00:04:52,150
227
+ ุงู„ุชุญูƒู… ุงู„ู‡ูŠุจูŠุฌูŠู†ูŠูƒูŠ ู„ู„ุชุนุฑูŠู ุงู„ู‡ูŠุจูŠุฌูŠู†ูŠูƒูŠ ูŠุชุนุฑู ุนู„ู‰
228
+
229
+ 58
230
+ 00:04:52,150 --> 00:04:57,850
231
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู…ุณุชุญูŠู„ุฉ ุงู„ุชูŠ ุชู… ุชุตู…ูŠู…ู‡ุง ุจุชุบูŠูŠุฑ ุฌู†ู…ู‡ุง
232
+
233
+ 59
234
+ 00:04:57,850 --> 00:05:03,050
235
+ ูˆู…ุฌู…ูˆุนุงุช ุงู„ูƒุฑู…ุชูŠู† ู‡ุฐู‡
236
+
237
+ 60
238
+ 00:05:03,050 --> 00:05:09,940
239
+ ุงู„ุชุบูŠูŠุฑุงุช ุชุฃุซุฑ ุนู„ู‰ ุฃุณุงุณูŠุฉ ูˆุฅุซุจุงุช ุงู„ูƒุฑู…ุชูŠู†ุจูŠุบูŠุฑ ููŠ
240
+
241
+ 61
242
+ 00:05:09,940 --> 00:05:14,140
243
+ ุงู„ู€ structure ูˆ ุงู„ confirmation ู„ูƒู† ุจูŠุตูŠุฑุด ููŠ
244
+
245
+ 62
246
+ 00:05:14,140 --> 00:05:19,480
247
+ ุนู†ุฏู†ุง ุฃูŠ ุชุบูŠูŠุฑ ุทุจุนุง ููŠ ุงู„ DNA sequence ูˆู‡ุฐุง ุงู„ุชุบูŠุฑ
248
+
249
+ 63
250
+ 00:05:19,480 --> 00:05:24,080
251
+ ููŠ ุงู„ structure ุฃูˆ ุงู„ confirmation ุจูŠุคุฏูŠ ุฅู„ู‰ ุทุจุนุง
252
+
253
+ 64
254
+ 00:05:24,080 --> 00:05:31,000
255
+ ุชุบูŠุฑ ููŠ ุงู„ transcription ู„ุจุนุถ
256
+
257
+ 65
258
+ 00:05:31,000 --> 00:05:35,180
259
+ ุงู„ genesEpigenetic alterations in gene expression
260
+
261
+ 66
262
+ 00:05:35,180 --> 00:05:38,360
263
+ do not cause a change in the nucleotide sequence
264
+
265
+ 67
266
+ 00:05:38,360 --> 00:05:42,860
267
+ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุฃู†ู‡ ู…ุงููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ sequence ู„ุฃ ุงู„
268
+
269
+ 68
270
+ 00:05:42,860 --> 00:05:46,000
271
+ DNA ู…ุงููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ nucleotide sequence ุชู…ุงู…
272
+
273
+ 69
274
+ 00:05:46,000 --> 00:05:50,400
275
+ ูˆุจุงู„ุชุงู„ูŠ they therefore are not mutations ุฃู‡ ูŠุจู‚ู‰
276
+
277
+ 70
278
+ 00:05:50,400 --> 00:05:52,980
279
+ ู‡ุฐู‡ ู„ุง ุชุนุชุจุฑ mutations ู„ุฃู† ุงู„ DNA sequence ุฒูŠ ู…ุง
280
+
281
+ 71
282
+ 00:05:52,980 --> 00:05:57,180
283
+ ู‡ูŠ ู„ูƒู† ุฒูŠ ู…ุง ุญู†ุดูˆู ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠูŠุฑ ููŠ ุงู„ gene
284
+
285
+ 72
286
+ 00:05:57,180 --> 00:05:58,460
287
+ expression
288
+
289
+ 73
290
+ 00:06:05,750 --> 00:06:08,550
291
+ ุทุจุนุง ุจุนุถ ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู„ูŠ ุจุชุตูŠุฑ ุนู† ุทุฑูŠู‚ ุงู„ู€
292
+
293
+ 74
294
+ 00:06:08,550 --> 00:06:12,710
295
+ Epigenetics ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ activation ู…ู…ูƒู† ู„ุจุนุถ ุงู„
296
+
297
+ 75
298
+ 00:06:12,710 --> 00:06:18,290
299
+ genes ุฃูˆ ุงู„ silencing ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰ ุฃูƒูŠุฏ ู‡ุฐู‡ ู…ู‡ู…ุฉ ููŠ
300
+
301
+ 76
302
+ 00:06:18,290 --> 00:06:23,840
303
+ ุงู„ differentiation ู„ู„ุฎู„ุงูŠุงุชู…ุงู…ุŒ ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
304
+
305
+ 77
306
+ 00:06:23,840 --> 00:06:32,180
307
+ ุชู…ุงุคุฒ ู„ุฎู„ุงูŠุง ูˆู†ุญุตู„ ุนู„ู‰ ุฎู„ูŠุฉ ููŠ organ ู…ุนูŠู† ูŠุจุฏูˆ
308
+
309
+ 78
310
+ 00:06:32,180 --> 00:06:37,600
311
+ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชุบูŠุฑ ููŠ ุงู„ expression ู„ ุงู„ genes ู„ุฃู†
312
+
313
+ 79
314
+ 00:06:37,600 --> 00:06:40,380
315
+ ุงู„ DNA ุฒูŠ ู…ุง ุงู†ุชูˆุง ุนุงุฑููŠู† ููŠ ูƒู„ ุงู„ุฎู„ุงูŠุง ู‡ูˆ DNA
316
+
317
+ 80
318
+ 00:06:40,380 --> 00:06:45,830
319
+ ูˆุงุญุฏุฃูŠุด ุจูŠุฎู„ู‘ูŠ ุฎู„ูŠุฉ ุชุฎุชู„ู ุนู† ุฎู„ูŠุฉ ุฃุฎุฑู‰ ู…ู…ูƒู† ุจุงู„ู€
320
+
321
+ 81
322
+ 00:06:45,830 --> 00:06:51,410
323
+ functions ูˆ ุจุงู„ุฃู…ูˆุฑ ุงู„ุฃุฎุฑู‰ ู‡ูˆ ุงู„ expression ู„ ุงู„
324
+
325
+ 82
326
+ 00:06:51,410 --> 00:06:55,190
327
+ genes ูˆุงู„ู„ูŠ ุงู„ epigenetics ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
328
+
329
+ 83
330
+ 00:06:55,190 --> 00:06:59,710
331
+ silencing ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ expression ู„ุฌูŠู†ุงุช
332
+
333
+ 84
334
+ 00:06:59,710 --> 00:07:05,330
335
+ ุฃุฎุฑู‰ for example stem cells are maintained in stem
336
+
337
+ 85
338
+ 00:07:05,330 --> 00:07:09,800
339
+ cell stateุจุงู„ู€ Epigenetic Silencing โ€of Genes
340
+
341
+ 86
342
+ 00:07:09,800 --> 00:07:13,500
343
+ Important โ€for Differentiation โ€ูŠุจู‚ู‰ ุงู„ู€ Stem
344
+
345
+ 87
346
+ 00:07:13,500 --> 00:07:17,060
347
+ Cells ุจุชุถู„ู‡ุง Stem Cell โ€ูˆ ุจูŠุตู„ู‡ุงุด Differentiation
348
+
349
+ 88
350
+ 00:07:17,060 --> 00:07:21,960
351
+ โ€ู„ุฃู†ู‡ ุงู„ู€ Differentiation Genes โ€ู…ุนู…ูˆู„ ู„ู‡ุง
352
+
353
+ 89
354
+ 00:07:21,960 --> 00:07:27,240
355
+ Silencing โ€ููŠ Silencing ู„ุฌู†ุณ ุงู„ู„ูŠ ุจุชุคุฏูŠ โ€ุฅู„ู‰ ุงู„
356
+
357
+ 90
358
+ 00:07:27,240 --> 00:07:34,340
359
+ Differentiationูˆุจุงู„ุชุงู„ูŠ ุจุชุธู„ู‡ุง ู…ูˆุฌูˆุฏุฉ ูƒู€ stem cell
360
+
361
+ 91
362
+ 00:07:34,340 --> 00:07:37,840
363
+ ูŠุจู‚ู‰ ู†ุชูˆู‚ุน ุฃู†ู‡ ุฅุฐุง ูƒุงู† ุจุฏู‰ ูŠุตูŠุฑ ููŠู†ุง
364
+
365
+ 92
366
+ 00:07:37,840 --> 00:07:43,980
367
+ differentiation ูŠุจู‚ู‰ ู…ู…ูƒู† ุจุนุถ ู…ู† ู‡ุฐู‡ ุงู„ genes ุงู„ู„ูŠ
368
+
369
+ 93
370
+ 00:07:43,980 --> 00:07:47,480
371
+ .. ุงู„ู„ูŠ ู…ุนู…ูˆู„ู‡ุง silencing ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง expression
372
+
373
+ 94
374
+ 00:07:47,480 --> 00:07:54,240
375
+ ูˆ ุชุจุฏุฃ ุงู„ุฎู„ูŠุฉ ููŠ ุงู„ุชู…ุงูŠุฒIt is differential gene
376
+
377
+ 95
378
+ 00:07:54,240 --> 00:07:57,660
379
+ expression that makes one cell type different from
380
+
381
+ 96
382
+ 00:07:57,660 --> 00:08:00,840
383
+ another ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ูุนู„ูŠุง ุงู„ู€
384
+
385
+ 97
386
+ 00:08:00,840 --> 00:08:04,480
387
+ gene expression ู‡ูˆ ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุฎู„ูŠุฉ ุนู† ุฎู„ูŠ๏ฟฝ๏ฟฝ ุฃุฎุฑู‰
388
+
389
+ 98
390
+ 00:08:04,480 --> 00:08:09,840
391
+ ู„ุฃู† ุงู„ู€ DNA ูˆุงุญุฏ ุงู„ู…ูˆุฌูˆุฏ ู„ูƒู† ุงู„ู„ูŠ ุจูŠุนู…ู„ ุชู…ุงูŠุฒ ู‡ูˆ
392
+
393
+ 99
394
+ 00:08:09,840 --> 00:08:13,100
395
+ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ู€ silencing
396
+
397
+ 100
398
+ 00:08:13,100 --> 00:08:17,210
399
+ ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰ุณู†ุชุญุฏุซ ุนู†
400
+
401
+ 101
402
+ 00:08:17,210 --> 00:08:43,710
403
+ ุฅุจูŠุฌูŠู†ุงุชูŠูƒูŠูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†
404
+
405
+ 102
406
+ 00:08:47,920 --> 00:08:51,560
407
+ ุงู„ู€ Epigenetic Regulation of Transcription ู†ูƒู…ู„
408
+
409
+ 103
410
+ 00:08:51,560 --> 00:08:57,280
411
+ ุทุจุนุงู‹ both can be acquired or inherited ุงู„
412
+
413
+ 104
414
+ 00:08:57,280 --> 00:09:03,060
415
+ Epigenetics ู…ู…ูƒู† ุชูƒูˆู† inherited ู„ูƒู† ุจุฑุถู‡ ู…ู…ูƒู† ุชูƒูˆู†
416
+
417
+ 105
418
+ 00:09:03,060 --> 00:09:07,520
419
+ acquired ูˆ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ุนู†ุฏู†ุง ุจุนุถ ุงู„
420
+
421
+ 106
422
+ 00:09:07,520 --> 00:09:12,320
423
+ chemicals ุจุนุถ ุงู„ drugs ุญุชู‰ ุงู„ diet ู…ู…ูƒู† ูŠุนู…ู„ูŠ ุชุบูŠุฑ
424
+
425
+ 107
426
+ 00:09:12,320 --> 00:09:15,080
427
+ ููŠ ุงู„ Epigenetics ูˆุจุงู„ุชุงู„ูŠ ุจุนุฏ ุงู„ุญุงู„ุฉ ู‡ุชูƒูˆู†
428
+
429
+ 108
430
+ 00:09:15,080 --> 00:09:22,330
431
+ acquiredุชุฃุซูŠุฑ ุนู…ู„ูŠุฉ ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ุจุฅุฏุฎุงู„ ุชุฌุงุฑุจ
432
+
433
+ 109
434
+ 00:09:22,330 --> 00:09:26,770
435
+ ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ู„ุชุฌุงุฑุจ ู†ูƒูˆู„ุงุชูŠุฉ ู†ูƒูˆู„ุงุชูŠุฉ ููŠ ู…ุคุณุณุงุช
436
+
437
+ 110
438
+ 00:09:26,770 --> 00:09:28,450
439
+ ุงู„ุฌู†ุฉ
440
+
441
+ 111
442
+ 00:09:30,290 --> 00:09:35,910
443
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ุงุฑุชุจุงุท ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู€ Bodily Groups
444
+
445
+ 112
446
+ 00:09:35,910 --> 00:09:43,310
447
+ ู…ู…ูƒู† ุทุจุนุง ูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ Chromatin ุฃู†ู‡ ู‡ู„ ู‡ูŠูƒูˆู†
448
+
449
+ 113
450
+ 00:09:43,310 --> 00:09:48,530
451
+ ู…ุถุบูˆุทุŒ compact ุฃูˆ relaxed ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุฃุซุฑ ุนู„ู‰ ูˆุตูˆู„
452
+
453
+ 114
454
+ 00:09:48,530 --> 00:09:52,850
455
+ ู„ู€ Transcription Factors ู„ู€ Promoters ู„ู€ Genes
456
+
457
+ 115
458
+ 00:09:52,850 --> 00:09:55,990
459
+ ูˆุจุงู„ุชุงู„ูŠ Expression ู„ู‡ุฐู‡ ุงู„ู€ Genes
460
+
461
+ 116
462
+ 00:10:00,340 --> 00:10:04,660
463
+ ุงู„ู…ู‡ู… ุฃู† ูŠูƒูˆู† ู…ู„ุงุญุธู‹ุง ุฃู† ุฌู…ูŠุน ุงู„ุชุฌุงุฑุจ ุงู„ุฅูŠุจูŠุฌูŠู†ูŠุฉ
464
+
465
+ 117
466
+ 00:10:04,660 --> 00:10:10,440
467
+ ุชุนู…ู„ ู…ุนู‹ุง ู„ุชุญูƒู… ููŠ ุญุงู„ุงุช ู…ูุชูˆุญุฉ ูˆู…ูุชูˆุญุฉ ู…ู† ุงู„ู€
468
+
469
+ 118
470
+ 00:10:10,440 --> 00:10:15,540
471
+ Chromatin ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู…ุซุงู„ ุฃู†ู‡ ู…ู…ูƒู† ุฃู†
472
+
473
+ 119
474
+ 00:10:15,540 --> 00:10:19,040
475
+ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ Acetylation ู…ุน
476
+
477
+ 120
478
+ 00:10:19,040 --> 00:10:21,780
479
+ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ Methylation ู…ู…ูƒู† ู‡ุฏูˆู„
480
+
481
+ 121
482
+ 00:10:21,780 --> 00:10:23,740
483
+ ูŠุดุชุบู„ูˆุง ู…ุน ุจุนุถ
484
+
485
+ 122
486
+ 00:10:27,410 --> 00:10:31,730
487
+ ูˆุฃูŠุถู‹ุง ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ Regulation of Transcription
488
+
489
+ 123
490
+ 00:10:31,730 --> 00:10:38,210
491
+ Factors Binding Links Genetic and Epigenetic
492
+
493
+ 124
494
+ 00:10:38,210 --> 00:10:43,570
495
+ Mechanisms ุจุฑุถู‡ ู‡ู†ุดูˆู ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุฅูŠุด ู…ุนู†ุงู‡ุง ูƒู…ุงู†
496
+
497
+ 125
498
+ 00:10:43,570 --> 00:10:51,260
499
+ ุดูˆูŠุฉ ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ Histone Modificationุฅู† ุงู„ู€
500
+
501
+ 126
502
+ 00:10:51,260 --> 00:10:54,460
503
+ histone proteins are subject to diverse post
504
+
505
+ 127
506
+ 00:10:54,460 --> 00:10:59,140
507
+ -translational modifications ูŠุจุนุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
508
+
509
+ 128
510
+ 00:10:59,140 --> 00:11:02,800
511
+ translation ูˆูŠุชูƒูˆู† ู„ุจุฑูˆุชูŠู† ุจูŠุตูŠุฑ ููŠู‡ุง post
512
+
513
+ 129
514
+ 00:11:02,800 --> 00:11:06,900
515
+ -translational modifications ู„ู„ู€ histones ูˆู…ู† ุถู…ู†
516
+
517
+ 130
518
+ 00:11:06,900 --> 00:11:09,440
519
+ ุงู„ modifications ุงู„ู„ูŠ ุจุชุตูŠุฑ Acetylation,
520
+
521
+ 131
522
+ 00:11:10,180 --> 00:11:15,260
523
+ Methylation, Phosphorylation ูˆ Ubiquitination The
524
+
525
+ 132
526
+ 00:11:15,260 --> 00:11:20,830
527
+ histone code hypothesisุชุฎุทุท ู‡ุฐู‡ ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู…ุฑุชุจุทุฉ
528
+
529
+ 133
530
+ 00:11:20,830 --> 00:11:26,950
531
+ ุจุดูƒู„ ู…ุฎุชู„ู ูŠุณุงุนุฏ ููŠ ุฅุตู„ุงุญ ุงู„ู…ุฌู…ูˆุนุงุช ูˆุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
532
+
533
+ 134
534
+ 00:11:26,950 --> 00:11:30,110
535
+ ุงู„ุชู†ุณูŠู‚ ุงู„ุชุญูƒู…ูŠ ุงู„ู…ูŠู„ูŠูƒูŠูˆู…ูŠูƒูŠ
536
+
537
+ 135
538
+ 00:11:32,680 --> 00:11:39,160
539
+ ุงู„ู‡ูŠุณุชูˆู† ูƒูˆุฏ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุญูŠุจูˆุชุณูŠุฒ that the
540
+
541
+ 136
542
+ 00:11:39,160 --> 00:11:42,220
543
+ transcription of genetic information encoded in
544
+
545
+ 137
546
+ 00:11:42,220 --> 00:11:46,320
547
+ DNA is in part regulated by chemical modifications
548
+
549
+ 138
550
+ 00:11:46,320 --> 00:11:52,920
551
+ to histone proteinsูŠุจู‚ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ Transcription ู„ู€
552
+
553
+ 139
554
+ 00:11:52,920 --> 00:11:58,140
555
+ Genes ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ Chemical Modification ู„ู„ู€
556
+
557
+ 140
558
+ 00:11:58,140 --> 00:12:02,140
559
+ Histones ูˆุฏู‡ ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ู…ู† ุฎู„ุงู„ ู…ุซุงู„ ุงู„ู€
560
+
561
+ 141
562
+ 00:12:02,140 --> 00:12:09,940
563
+ Acetylation ูŠุจู‚ู‰ ู‡ู†ุญูƒูŠ ุนู† ูู‚ุท ุงู„ู€ Acetylation ุจู…ุง
564
+
565
+ 142
566
+ 00:12:09,940 --> 00:12:13,120
567
+ ุชุนู„ู‚ ุจุงู„ู€ Histone Modificationุงู„ุชุทุจูŠู‚ ุงู„ู€
568
+
569
+ 143
570
+ 00:12:13,120 --> 00:12:17,820
571
+ Acetylation of ู‡ุณุชูˆู† ุชุบูŠูŠุฑ ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ูˆุชุฃุซูŠุฑ
572
+
573
+ 144
574
+ 00:12:17,820 --> 00:12:22,040
575
+ ุนู„ู‰ ุฅุธู‡ุงุฑ ุงู„ุฌู†ุฉ ุงู„ุชุทุจูŠู‚ ุงู„ู€ Acetylation of Hestons
576
+
577
+ 145
578
+ 00:12:22,040 --> 00:12:30,020
579
+ ุชุบูŠูŠุฑ ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชุฃุซูŠุฑ ุนู„ู‰ ุฅุธู‡ุงุฑ ุงู„ุฌู†ุฉ
580
+
581
+ 146
582
+ 00:12:30,020 --> 00:12:32,720
583
+ ุงู„ุชุทุจูŠู‚ ุงู„ู€ Acetylation of Hestons acts as a
584
+
585
+ 147
586
+ 00:12:32,720 --> 00:12:35,740
587
+ docking signal for the recruitment or the
588
+
589
+ 148
590
+ 00:12:35,740 --> 00:12:39,580
591
+ repulsion of chromatin modifying factors
592
+
593
+ 149
594
+ 00:12:42,660 --> 00:12:48,880
595
+ ุฃูˆ ุนุฏู… ูˆุฌูˆุฏู‡ุง ุชู…ุงู… ุฒูŠ ุฅุดุงุฑุฉ ุชู…ุงู… ู„ ุงู„ ุงู„ other
596
+
597
+ 150
598
+ 00:12:48,880 --> 00:12:52,500
599
+ proteins ุฃูˆ other factors ุงู„ู„ูŠ ู…ู…ูƒู† ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
600
+
601
+ 151
602
+ 00:12:52,500 --> 00:12:59,680
603
+ ุจุงู„ expression ู„ ุงู„ genes ููŠ ุฃู† two enzymes ุจูŠู„ุนุจ
604
+
605
+ 152
606
+ 00:12:59,680 --> 00:13:05,240
607
+ ุฏูˆุฑ ููŠ ุงู„acetylation ุฃูˆ ุงู„ deacetylation ุฃู† ุงู„
608
+
609
+ 153
610
+ 00:13:05,240 --> 00:13:09,900
611
+ enzyme ุงู„ุฃูˆู„ histone acetyltransferase ูˆู‡ุฐุง ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:13:09,900 --> 00:13:16,450
615
+ ุจูŠู†ู‚ู„ุฃุณูŠุชูŠู„ ุฌุฑูˆุจ ู„ู„ู‡ูŠุณุชูˆู† ูˆุนู†ุง ุงู„ุงู†ุฒูŠู† ุฃุฎุฑ ู‡ูŠุณุชูˆู†
616
+
617
+ 155
618
+ 00:13:16,450 --> 00:13:22,470
619
+ ุฏูŠ ุฃุณูŠุชูŠู„ูŠุฒ ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠุนู…ู„ ุนู„ู‰ ุงู„ removal ู„ุฃุณูŠุชูŠู„
620
+
621
+ 156
622
+ 00:13:22,470 --> 00:13:29,170
623
+ ุฌุฑูˆุจ ู‡ูŠุณุชูˆู† ุฃุณูŠุชูŠู„ ุชุฑุงู†ุณููŠุฑูŠุฒ HAT ูˆ ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ
624
+
625
+ 157
626
+ 00:13:29,170 --> 00:13:37,850
627
+ ุฃุณูŠุชูŠู„ูŠุฒ HDAC ุงู„ู‡ูŠุณุชูˆู† ุฃุณูŠุทูŠู„ ุชุฑุงู†ุณููŠุฑูŠุฒ
628
+
629
+ 158
630
+ 00:13:40,140 --> 00:13:46,740
631
+ ุฃุณูŠุทุงู„ูŠุงุช ู…ุญุฏุฏุฉ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ุจูŠุถูŠู ุงู„ุฃุณูŠุทุงู„ูŠ
632
+
633
+ 159
634
+ 00:13:46,740 --> 00:13:56,560
635
+ ุฌุฑูˆุจ ุจูŠุถูŠูู‡ุง ูˆูŠู† ุนู†ุฏูŠ ุฃู…ูŠู†ูˆ ุฃุณุฏ ู„ูŠุฒูŠู† ุนู„ู‰ ู‡ุณุชูˆู†
636
+
637
+ 160
638
+ 00:13:56,560 --> 00:14:02,680
639
+ ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„
640
+
641
+ 161
642
+ 00:14:02,680 --> 00:14:04,260
643
+ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู†
644
+
645
+ 162
646
+ 00:14:05,590 --> 00:14:08,290
647
+ ูƒู…ุงู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุฃู† ุฃุณูŠุชุงู„ ู„ูŠุด ุงู„ู„ูŠ ู„ู‡ุง ุงู„
648
+
649
+ 163
650
+ 00:14:08,290 --> 00:14:10,890
651
+ transcription factor ุงุญู†ุง ู‡ู†ุจู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„
652
+
653
+ 164
654
+ 00:14:10,890 --> 00:14:16,690
655
+ ุฎุงุต ุนู„ู‰ ุงู„ histones ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ .. ุงู„ histone
656
+
657
+ 165
658
+ 00:14:16,690 --> 00:14:22,830
659
+ acetal transferase ูŠูŠุฌูŠ ูˆ ูŠุถูŠู acetal group ุนู„ู‰
660
+
661
+ 166
662
+ 00:14:22,830 --> 00:14:28,250
663
+ ุงู„ู„ูŠุฒูŠู†ุฒ ุงู„ุขู†
664
+
665
+ 167
666
+ 00:14:28,250 --> 00:14:32,450
667
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุฉ ุฅุถุงูุฉ ุงู„ acetal group ู‡ุฐู‡ ุฅูŠุด ู‡ุชุนู…ู„ุŸ
668
+
669
+ 168
670
+ 00:14:33,630 --> 00:14:41,930
671
+ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ู€ figure ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ figure
672
+
673
+ 169
674
+ 00:14:41,930 --> 00:14:47,270
675
+ ู‡ุฐุง ู‡ูŠ ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ enzyme ู‡ุณุชูˆู† ุฃุณูŠุทุงูŠู„
676
+
677
+ 170
678
+ 00:14:47,270 --> 00:14:52,370
679
+ ุชุฑุงู†ุณููŠุฑูŠู†ุฒ ู„ู…ุง ุจูŠุฌูŠ ู‡ุฐุง ุงู„ enzyme ูˆุจุดุชุบู„ ูˆุจูŠุถูŠู
680
+
681
+ 171
682
+ 00:14:52,370 --> 00:15:00,330
683
+ ุงู„ู€ acetyl groups ุนู„ู‰ ุงู„ู‡ุณุชูˆู† ุชู…ุงู…ุŒ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุฃู†ู‡
684
+
685
+ 172
686
+ 00:15:00,330 --> 00:15:06,280
687
+ ุจุชุบูŠุฑ ุงู„ู€ chromatin structureูˆุจูŠุตูŠุฑ more relaxed
688
+
689
+ 173
690
+ 00:15:06,280 --> 00:15:13,400
691
+ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠู‡ ุงู† ุฏูŠ condensation ู„ู„ูƒุฑู…ุงุชูŠู† ุชู…ุงู…ุŸ
692
+
693
+ 174
694
+ 00:15:13,400 --> 00:15:17,500
695
+ ุจูŠู†ู…ุง ู„ู…ุง ุจูŠุฌูŠ ุจูŠุดุชุบู„ ุงู„ุงู†ุฒูŠู… ุงู„ุขุฎุฑ ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ
696
+
697
+ 175
698
+ 00:15:17,500 --> 00:15:22,920
699
+ acetylase ุจูŠู†ุฒุน ุงู„ acetyl groups ูˆุจุงู„ุชุงู„ูŠ ุจุชุญูˆู„
700
+
701
+ 176
702
+ 00:15:22,920 --> 00:15:28,580
703
+ ุงู„ูƒุฑู…ุงุชูŠู† ุฅู„ู‰ condensed ูƒุฑู…ุงุชูŠู† ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
704
+
705
+ 177
706
+ 00:15:28,580 --> 00:15:34,260
707
+ ุจูŠุนุทูŠู†ูŠุงู„ุชุบูŠูŠุฑ ููŠู‡ ู„ู€ Chromatin Configuration ูŠุนู†ูŠ
708
+
709
+ 178
710
+ 00:15:34,260 --> 00:15:39,600
711
+ ู‡ุงู† ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 11 ู†ุงู†ูˆู…ุชุฑ Fiber ู„ุฃู†ู‡ ู…ุด
712
+
713
+ 179
714
+ 00:15:39,600 --> 00:15:44,700
715
+ condensed ู„ู€ Chromatin ุจูŠู†ู…ุงุงู„ู€ Condensed
716
+
717
+ 180
718
+ 00:15:44,700 --> 00:15:48,780
719
+ Chromatin ุจูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ู€ ุงู„ู€ Chromatin ุฃุณู…ูƒ
720
+
721
+ 181
722
+ 00:15:48,780 --> 00:15:55,520
723
+ ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 30 ู†ุงู†ูˆู…ุชุฑ Fiber ูˆู‡ุฐุง ูˆุงุถุญ
724
+
725
+ 182
726
+ 00:15:55,520 --> 00:15:58,420
727
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Chromatin Configuration ุฃูˆ Structure
728
+
729
+ 183
730
+ 00:15:58,420 --> 00:16:06,270
731
+ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ุดูƒู„ุงู„ู€ ุงู„ู€ DNA ุงู„ู„ูŠ ู‡ูˆ 2 ู†ุงู†ูˆู…ุชุฑ ุจุนุฏ
732
+
733
+ 184
734
+ 00:16:06,270 --> 00:16:10,670
735
+ ู‡ูŠูƒ ุทุจุนุง ู…ุน ุงู„ู€ histones ูˆ ุงู„ู€ nucleosome ุจู†ุญุตู„
736
+
737
+ 185
738
+ 00:16:10,670 --> 00:16:17,070
739
+ ุนู„ู‰ 10 ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ 11 ู†ุงู†ูˆู…ุชุฑ fiber ูˆ ุจุนุฏูŠู† ู„ู…ุง
740
+
741
+ 186
742
+ 00:16:17,070 --> 00:16:21,210
743
+ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ุนู†ุฏู†ุง condensation ู„ ุงู„ chromatin ุจู†ุญุตู„
744
+
745
+ 187
746
+ 00:16:21,210 --> 00:16:25,430
747
+ ุนู„ู‰ 30 ู†ุงู†ูˆู…ุชุฑ fiber ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ุดูƒู„
748
+
749
+ 188
750
+ 00:16:28,300 --> 00:16:32,140
751
+ ุทุจุนุงู‹ ูŠุนู†ูŠ ุตุนุจ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ู„ู€ Transcription
752
+
753
+ 189
754
+ 00:16:32,140 --> 00:16:34,820
755
+ Factors ูˆ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุฃุฎุฑู‰ ุฅู†ู‡ ุชุตู„ุฃ ุงู„ู€Genes
756
+
757
+ 190
758
+ 00:16:34,820 --> 00:16:38,400
759
+ ุงู„ู…ุฎุชู„ูุฉ ู„ูƒู† ู„ู…ุง ูŠูƒูˆู† Relaxed ุงู„ูƒุฑูˆู…ุงุชูŠู†ูŠูŠู† ูˆ ูŠูƒูˆู†
760
+
761
+ 191
762
+ 00:16:38,400 --> 00:16:41,260
763
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ู‡ูˆ Even Nanometer Fiber ุจูŠูƒูˆู†
764
+
765
+ 192
766
+ 00:16:41,260 --> 00:16:46,580
767
+ ุทุจุนุงู‹ ุฃุณู‡ู„ ู„ู€ Transcription Factors ูˆ ุงู„ุจุฑูˆุชูŠู†ุงุช
768
+
769
+ 193
770
+ 00:16:46,580 --> 00:16:49,540
771
+ ุงู„ุฃุฎุฑู‰ ุฅู†ู‡ุง ุชุตู„ุฃ ุงู„ู€Genes ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง
772
+
773
+ 194
774
+ 00:16:49,540 --> 00:16:53,420
775
+ Expression ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑ ููŠ
776
+
777
+ 195
778
+ 00:16:53,420 --> 00:16:58,340
779
+ ุงู„ู€Relaxation ุฃูˆ ุงู„ู€Condensationู‡ูˆ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู€
780
+
781
+ 196
782
+ 00:16:58,340 --> 00:17:02,180
783
+ histone acetyltransferase ุงู„ู„ูŠ ุจูŠุฎู„ู‘ูŠ ุงู„ู€
784
+
785
+ 197
786
+ 00:17:02,180 --> 00:17:05,040
787
+ chromatin more relaxed ุจูŠู†ู…ุง ุงู„ู€ histone
788
+
789
+ 198
790
+ 00:17:05,040 --> 00:17:08,360
791
+ deacetylase ุงู„ู„ูŠ ุจูŠู†ุฒุน ุงู„ู€ acetyl group ุจูŠุฎู„ู‘ูŠ ุงู„
792
+
793
+ 199
794
+ 00:17:08,360 --> 00:17:19,960
795
+ chromatin more condensed ุชู…ุงู…ุŒ
796
+
797
+ 200
798
+ 00:17:19,960 --> 00:17:22,980
799
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡
800
+
801
+ 201
802
+ 00:17:26,010 --> 00:17:34,210
803
+ ุงู„ุฃู† ู…ุง ูŠุญุฏุซ ุจุงู„ุธุจุท ุฃู† ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ ุฃุณูŠุชุงู„ูŠุฒ ูŠุชุฑู…ู‰
804
+
805
+ 202
806
+ 00:17:34,210 --> 00:17:39,230
807
+ ุฃุณูŠุชุงู„ูŠุฌุฑูˆุจ ูˆูŠู‚ูˆู… ุจุฅุนุงุฏุฉ ู…ุคุณุณุฉ ุฃูุถู„ ู„ู€Lysine
808
+
809
+ 203
810
+ 00:17:39,230 --> 00:17:44,530
811
+ Residuous ูŠุจู‚ู‰ ุฃุญู†ุง ู‚ู„ู†ุง ูˆูŠู† ุจูŠุฌูŠุจ ูŠุฑุชุจุท
812
+
813
+ 204
814
+ 00:17:44,530 --> 00:17:50,130
815
+ ุงู„ุฃุณูŠุชุงู„ูŠุฌุฑูˆุจ ุชุฑุชุจุท ูˆูŠู† ููŠ ุนู†ุฏูŠ Lysineุงู„ุขู† ู„ู…ุง
816
+
817
+ 205
818
+ 00:17:50,130 --> 00:17:55,490
819
+ ุชุฃุชูŠ ุงู„ู€ Acetal group ุชุฑุชุจ ู…ุน ุงู„ู„ูŠุฒูŠู† ุงู„ู„ูŠ ู‡ูŠ ููŠู‡
820
+
821
+ 206
822
+ 00:17:55,490 --> 00:17:59,890
823
+ ู…ูˆุฌูˆุฏ ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ู„ูŠุฒูŠู† positive charge ูˆุฒูŠ ู…ุง
824
+
825
+ 207
826
+ 00:17:59,890 --> 00:18:02,270
827
+ ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู† ุงู„ DNA negatively charged ูŠุจู‚ู‰ ุงู„
828
+
829
+ 208
830
+ 00:18:02,270 --> 00:18:05,750
831
+ positive charge ู…ุน ุงู„ negative charge ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ
832
+
833
+ 209
834
+ 00:18:05,750 --> 00:18:10,050
835
+ ุนู„ู‰ ุงู„ DNA ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงุฑุชุจุงุท ูƒูˆูŠุณ
836
+
837
+ 210
838
+ 00:18:10,050 --> 00:18:14,330
839
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„ chromosome more ุฃูˆ ุงู„
840
+
841
+ 211
842
+ 00:18:14,330 --> 00:18:18,730
843
+ chromatin more condensedูˆู„ู…ู‘ุง ุจูŠุฌูŠ ุงู„ู‡ูŠุณุชูˆู† D
844
+
845
+ 212
846
+ 00:18:18,730 --> 00:18:23,130
847
+ ุฃุณูŠุทุงู„ูŠุฒูŠ ุจูŠู†ุฒุน ุงู„ู€ acetyl group ูŠุจู‚ู‰ ุฑุฌุน ุตุงุฑ
848
+
849
+ 213
850
+ 00:18:23,130 --> 00:18:27,890
851
+ ุนู†ุฏู†ุง positive charge ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ lysine ูˆ ุงู„
852
+
853
+ 214
854
+ 00:18:27,890 --> 00:18:30,270
855
+ positive charge ู…ุน ุงู„ negative charge ู„ ุงู„ DNA
856
+
857
+ 215
858
+ 00:18:30,270 --> 00:18:33,990
859
+ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงุฑุชุจุงุท ุจุดูƒู„ ูƒูˆูŠุณ ูˆ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„
860
+
861
+ 216
862
+ 00:18:33,990 --> 00:18:40,490
863
+ chromatin more condensed ุจูŠู†ู…ุง ู„ู…ุง ู†ูŠุฌูŠ ุจู†ุถูŠู ุงู„
864
+
865
+ 217
866
+ 00:18:40,490 --> 00:18:44,900
867
+ acetyl group ุนู„ู‰ุงู„ู€ Lysine ุชู…ุงู… ุงู„ู€ positive
868
+
869
+ 218
870
+ 00:18:44,900 --> 00:18:50,140
871
+ charge ุจุชุจุทู„ ู…ูˆุฌูˆุฏุฉ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ู„ูŠ ู‡ูˆ
872
+
873
+ 219
874
+ 00:18:50,140 --> 00:18:55,620
875
+ more relaxed chromatin ุจุงู„ู€ HDAC removes acetyl
876
+
877
+ 220
878
+ 00:18:55,620 --> 00:18:57,940
879
+ group and restore positive charge to lysine
880
+
881
+ 221
882
+ 00:18:57,940 --> 00:19:01,140
883
+ residues of the histone tails which stabilize
884
+
885
+ 222
886
+ 00:19:01,140 --> 00:19:06,890
887
+ chromatin compaction and higher level packagingู‡ุฐู‡
888
+
889
+ 223
890
+ 00:19:06,890 --> 00:19:10,470
891
+ ุงู„ุชู†ุณูŠู‚ุงุช ู…ู† ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชู‚ุฑุฑ ุงุณุชุฎุฏุงู… ู…ุตุงุฏุฑ
892
+
893
+ 224
894
+ 00:19:10,470 --> 00:19:17,090
895
+ ุงู„ุชู†ุณูŠู‚ุงุช ูˆุชู†ุชู‡ูŠ ููŠ ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช ูƒู…ุง ุงุชูู‚ู†ุงุŒ
896
+
897
+ 225
898
+ 00:19:17,090 --> 00:19:22,410
899
+ ุนู†ุฏู…ุง ูŠูƒูˆู† ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุนุงู„ูŠ ุฃูˆ ู…ุฑุชุจุทุŒ ู„ู† ูŠุตู„
900
+
901
+ 226
902
+ 00:19:22,410 --> 00:19:26,070
903
+ ุฅู„ู‰ ู…ุตุงุฏุฑ ุงู„ุชู†ุณูŠู‚ุงุช ุฃูˆ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ู„ุฌูŠู†ู‡ุŒ
904
+
905
+ 227
906
+ 00:19:26,070 --> 00:19:30,090
907
+ ูˆุจุงู„ุชุงู„ูŠ ุณูŠุญุตู„ ููŠู‡ุง ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช
908
+
909
+ 228
910
+ 00:19:32,170 --> 00:19:35,370
911
+ ุทุจุนุงู‹ ู…ู† ู†ุงุญูŠุฉ ุฃุฎุฑู‰ ุงู„ู€ Transcriptional Activators
912
+
913
+ 229
914
+ 00:19:35,370 --> 00:19:45,550
915
+ ุฅูŠุด ุจุชุนู…ู„ุŸ Recruit Histone Acetyltransferase ุนุดุงู†
916
+
917
+ 230
918
+ 00:19:45,550 --> 00:19:49,550
919
+ ุชุฑุชุจุท ุงู„ู€ Acetyl group ู…ุน ุงู„ู€ Histone ูˆูŠุชุฎู„ูŠ
920
+
921
+ 231
922
+ 00:19:49,550 --> 00:19:55,570
923
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† more relaxed ูˆุจุงู„ุชุงู„ูŠ ุชู‚ุฏุฑ ุงู„ูˆุงู„ุฏ
924
+
925
+ 232
926
+ 00:19:55,570 --> 00:20:01,990
927
+ Transcription Factors ุชุฑุชุจุท ู…ุน ุงู„ู€ Promotersูˆูƒู…ุซุงู„
928
+
929
+ 233
930
+ 00:20:01,990 --> 00:20:05,230
931
+ ููŠู‡ ุฃู† ุงู„ู€ Retinoplastoma tumor suppressor protein
932
+
933
+ 234
934
+ 00:20:05,230 --> 00:20:10,480
935
+ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุจุชูุตูŠู„ ุฃูƒุชุฑ ู„ู‚ุฏุงู…ูƒูŠู ู‡ุฐูŠ ุจุชุนู…ู„
936
+
937
+ 235
938
+ 00:20:10,480 --> 00:20:17,400
939
+ repression ู„ู„ู€genes ุนู† ุทุฑูŠู‚ Excess Effect in part
940
+
941
+ 236
942
+ 00:20:17,400 --> 00:20:21,940
943
+ by recruiting HDAC ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Histone D-Acetylase
944
+
945
+ 237
946
+ 00:20:21,940 --> 00:20:27,000
947
+ ูŠุจู‚ู‰ ุงู„ู€Retroblastoma ุจูŠุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Histone D
948
+
949
+ 238
950
+ 00:20:27,000 --> 00:20:30,600
951
+ -Acetylase ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ ุนู„ู‰ ู†ุฒุน ุงู„ู€acetyl group
952
+
953
+ 239
954
+ 00:20:30,600 --> 00:20:36,240
955
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ silencing ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง
956
+
957
+ 240
958
+ 00:20:36,240 --> 00:20:41,730
959
+ ุนู„ุงู‚ุฉ ุจูŠู‡ ู„ู„ู€proliferationุงู„ู€ Figure ู‡ุฐุง ุจูŠูˆุถุญ
960
+
961
+ 241
962
+ 00:20:41,730 --> 00:20:45,750
963
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ุงู„ู„ูŠ ุจูŠุชุนู„ู‚ ุจุงู„ู€ positive ูˆ ุงู„ู€
964
+
965
+ 242
966
+ 00:20:45,750 --> 00:20:51,590
967
+ negative it charges ู‡ุงู† ุนู†ุฏู†ุง ุงู„ู€ ุงู„ู€ ุงู„ู‡ุณุชูˆู† ูˆ ุฒูŠ
968
+
969
+ 243
970
+ 00:20:51,590 --> 00:20:55,990
971
+ ู…ุง ู‚ู„ู†ุง ูˆูŠู† ููŠ ุนู†ุฏู†ุง ุงู„ู„ุงูŠุฒูŠู†ูˆุงู„ู„ูŠุฒูŠู† ููŠู‡ ู…ูˆุฌูˆุฏ
972
+
973
+ 244
974
+ 00:20:55,990 --> 00:20:59,910
975
+ ุจูŠูƒูˆู† positive charge ููŠ ุฃู†ู‡ุง ู†ู‚ุงุด 3 ูˆุจุงู„ุชุงู„ูŠ ููŠู‡ุง
976
+
977
+ 245
978
+ 00:20:59,910 --> 00:21:03,050
979
+ positive charge ูˆุงู„ positive charge ู…ุน ุงู„ negative
980
+
981
+ 246
982
+ 00:21:03,050 --> 00:21:06,470
983
+ charge ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ DNA ูŠุจู‚ู‰ ุญูŠุตูŠุฑ ุงุฑุชุจุงุท
984
+
985
+ 247
986
+ 00:21:06,470 --> 00:21:12,290
987
+ ุจุดูƒู„ ูƒูˆูŠุณ ูˆุญูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ packaging ูƒูˆูŠุณ ู„ู„ DNA
988
+
989
+ 248
990
+ 00:21:12,290 --> 00:21:17,720
991
+ ูˆุจุงู„ุชุงู„ูŠ condensation ุชู…ุงู…ุŸูˆุงู„ู„ูŠ ุจูŠุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰
992
+
993
+ 249
994
+ 00:21:17,720 --> 00:21:21,800
995
+ ู‡ุฐุง ุงู„ู€ Chromatin ุงู„ู€ Structure ู‡ูˆ ุงู„ู€
996
+
997
+ 250
998
+ 00:21:21,800 --> 00:21:26,980
999
+ Deacetylation ุทุจุนุงู‹ ุนู† ุทุฑูŠู‚ ุฅู†ุฒุงูŠู… ุงู„ู€ Histone
1000
+
1001
+ 251
1002
+ 00:21:26,980 --> 00:21:32,100
1003
+ Deacetylase ุงู„ู€ Histone Deacetylase ุจูŠู†ุฒุน ุงู„ู€
1004
+
1005
+ 252
1006
+ 00:21:32,100 --> 00:21:35,940
1007
+ Acetyl group ุงู„ู„ูŠ ู…ุฑุชุจุท ุนู„ู‰ ุงู„ู„ูŠุฒูŠู† ูˆ ุจุชุฑุฌุน ุงู„
1008
+
1009
+ 253
1010
+ 00:21:35,940 --> 00:21:38,860
1011
+ positive charge ู„ู„ูŠุฒูŠู† ูˆ ุงู„ู„ูŠ ุจุชุฑุชุจุท ู…ุน ุงู„
1012
+
1013
+ 254
1014
+ 00:21:38,860 --> 00:21:42,000
1015
+ negative charge ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠุนุทูŠู†ูŠ ุงู„ู„ูŠ ู‡ูˆ
1016
+
1017
+ 255
1018
+ 00:21:42,000 --> 00:21:46,830
1019
+ Condensation ู„ู„ู€ ChromatinุจูŠู†ู…ุง ุงู„ู€ Histone
1020
+
1021
+ 256
1022
+ 00:21:46,830 --> 00:21:54,670
1023
+ Acetyltransferase ุจูŠุถูŠู group Acetyl ุนู„ู‰ ุงู„ู„ูŠุฒูŠู†
1024
+
1025
+ 257
1026
+ 00:21:54,670 --> 00:22:00,470
1027
+ ุชู…ุงู…ุŸ ูˆุงู„ุขู† ุงู„ู€ positive charge ุงุฎุชูุช ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
1028
+
1029
+ 258
1030
+ 00:22:00,470 --> 00:22:05,510
1031
+ ุจูŠุนุทูŠ more relaxation ู„ู€ chromatin
1032
+
1033
+ 259
1034
+ 00:22:13,380 --> 00:22:16,200
1035
+ ุทูŠุจ ู‡ุฐุง ูƒุงู† ุงู„ู…ุซุงู„ ุนู„ู‰ ุงู„ู€ histone modification
1036
+
1037
+ 260
1038
+ 00:22:16,200 --> 00:22:22,640
1039
+ ูˆู‚ู„ู†ุง ู‡ู†ุงุฎุฏ ู…ุซุงู„ ุขุฎุฑ ุนู„ู‰ ุงู„ูˆ ุงู„ DNA ูˆ ู‡ู†ุดูˆู ุงู„ DNA
1040
+
1041
+ 261
1042
+ 00:22:22,640 --> 00:22:28,080
1043
+ methylation DNA methylation is the addition of a
1044
+
1045
+ 262
1046
+ 00:22:28,080 --> 00:22:34,280
1047
+ methyl group to position 5 of cytosineุฌูŠุจ ุชู… ูˆูŠู†
1048
+
1049
+ 263
1050
+ 00:22:34,280 --> 00:22:38,340
1051
+ ููŠ ุนู†ุฏูŠ cytosine ูˆุฒูŠ ู…ุง ุญู†ุดูˆู ููŠู‡ ุฃู†ู‡ ุดุฑุท ู„ูˆูŠู†
1052
+
1053
+ 264
1054
+ 00:22:38,340 --> 00:22:44,100
1055
+ ู‡ุชู†ุถุน ููŠ ุงู„ู€ methyl group ุนู„ู‰ ุงู„ู€ cytosine only
1056
+
1057
+ 265
1058
+ 00:22:44,100 --> 00:22:47,320
1059
+ three to four percent of all cytosines in DNA are
1060
+
1061
+ 266
1062
+ 00:22:47,320 --> 00:22:52,460
1063
+ methylated ู‡ุฐู‡ ู†ุณุจุฉ ุงู„ cytosines ุงู„ู„ูŠ ู…ุฑุชุจุท ู…ุน
1064
+
1065
+ 267
1066
+ 00:22:52,460 --> 00:22:56,480
1067
+ methyl group ุชู„ุงุชุฉ ุฅู„ู‰ ุฃุฑุจุน ุจุงู„ู…ูŠุฉ ู…ู† ุงู„ cytosines
1068
+
1069
+ 268
1070
+ 00:22:56,480 --> 00:23:02,260
1071
+ in DNA are methylatedุงู„ุฃู†ูˆุงู† ู…ู…ูƒู† ุชุตูŠุฑ ููŠู‡ุง ุฃู†
1072
+
1073
+ 269
1074
+ 00:23:02,260 --> 00:23:06,700
1075
+ Methylation ู„ู€Cytosine Methylation only occurs at
1076
+
1077
+ 270
1078
+ 00:23:06,700 --> 00:23:10,120
1079
+ cytosine nucleotides which are situated five prime
1080
+
1081
+ 271
1082
+ 00:23:10,120 --> 00:23:17,840
1083
+ ุชุฌูˆุงู†ูŠู† ุจูŠุนู†ู‰ CG ูˆุจุชู… ุฅุถุงูุฉ ุงู„ู€ Methyl group
1084
+
1085
+ 272
1086
+ 00:23:17,840 --> 00:23:25,720
1087
+ ู„ู€Cytosine ูู‚ุท ุฅุฐุง ูƒุงู† ุงู„ู€Cytosine ู…ูˆุฌูˆุฏุฉ five
1088
+
1089
+ 273
1090
+ 00:23:25,720 --> 00:23:31,500
1091
+ prime ุชุฌูˆุงู†ูŠู† nucleotidesุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญุงู† ู‡ูŠ ุฃู† ุงู„ู€
1092
+
1093
+ 274
1094
+ 00:23:31,500 --> 00:23:36,720
1095
+ five prime ูˆ ู‡ูŠ ุฃู† ุงู„ three prime ุฅุฐุง ูƒุงู† ุงู„ C
1096
+
1097
+ 275
1098
+ 00:23:36,720 --> 00:23:42,660
1099
+ ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ five prime ู„ุฃ ุงู„ G ุทุจุนุง ุฅู†ู‡ CG ู„ูƒู†
1100
+
1101
+ 276
1102
+ 00:23:42,660 --> 00:23:46,400
1103
+ ุงู„ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ five prime ุฅุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู‡
1104
+
1105
+ 277
1106
+ 00:23:46,400 --> 00:23:51,500
1107
+ ุงู„ methylation ูƒุฐู„ูƒ ุงู„ุฃู…ุฑ ู‡ูŠ ุฃู† ู‡ูŠ ุงู„ five prime ูˆ
1108
+
1109
+ 278
1110
+ 00:23:51,500 --> 00:23:57,640
1111
+ ู‡ูŠ ุงู„ three prime ู‡ูŠ ุฃู† ุงู„ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ fiveุงู„ู€
1112
+
1113
+ 279
1114
+ 00:23:57,640 --> 00:24:02,020
1115
+ prime ู„ู„ุฅุฌูˆุงู†ูŠู† ุจุฌุงู†ุจู‡ุง ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู†ุง ุงู„
1116
+
1117
+ 280
1118
+ 00:24:02,020 --> 00:24:08,660
1119
+ methylation ูˆู‡ูŠ ู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุจูŠูˆุถุญ ูƒูŠู ุงูˆ ุงู„ู„ูŠ ู‡ูˆ
1120
+
1121
+ 281
1122
+ 00:24:08,660 --> 00:24:12,900
1123
+ ุฅ๏ฟฝ๏ฟฝุงูุฉ ู„ ุงู„ methyl group ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูƒูˆู† ุนู†ุฏู†ุง
1124
+
1125
+ 282
1126
+ 00:24:12,900 --> 00:24:18,000
1127
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ C five prime ู„ ุงู„ G ูŠุนู†ูŠ ุนู„ู‰ ุงู„ strand
1128
+
1129
+ 283
1130
+ 00:24:18,000 --> 00:24:22,600
1131
+ ุงู„ุขุฎุฑ ุงู„ C ู‡ูŠ five prime ู„ ุงู„ G
1132
+
1133
+ 284
1134
+ 00:24:25,730 --> 00:24:30,310
1135
+ ุงู„ู…ุซุงู„ ุงู„ู€ Cytosine ุฏูŠ ุฃู…ูŠู†ุงุช spontaneously ูˆูˆุตู„ูŠ
1136
+
1137
+ 285
1138
+ 00:24:30,310 --> 00:24:37,050
1139
+ ูˆูŠู†ุชู‡ูŠ ููŠ ุชุญูˆูŠู„ C to T ุนู…ู„ูŠุฉ ุงู„ู€ methylation ุงู„ู„ูŠ
1140
+
1141
+ 286
1142
+ 00:24:37,050 --> 00:24:45,170
1143
+ ุจุชุตูŠุฑ ู„ุงู„ู€ Cytosine ู…ู…ูƒู† ุงุชุญูˆู„ู‡ุง ุฅู„ู‰ Thymin
1144
+
1145
+ 287
1146
+ 00:24:46,750 --> 00:24:51,650
1147
+ ู‡ูˆ ุนู…ู„ูŠุฉ ุงู„ู€ methylation ุงู„ู„ูŠ ุจุชุตูŠุฑ ู„ุงู„ู€ cytosine
1148
+
1149
+ 288
1150
+ 00:24:51,650 --> 00:24:59,410
1151
+ ู…ู…ูƒู† ุชุนู…ู„ู„ูŠ transition ุชุญูˆู„ู„ูŠ ุงู„ C ุฅู„ู‰ T ุฒูŠ ู…ุง
1152
+
1153
+ 289
1154
+ 00:24:59,410 --> 00:25:06,270
1155
+ ูˆุงุถุญ ุจูŠู‡ ุงู„ figure ู‡ุงู† ู‡ุงู† ุฃู† ู‡ุงูŠ ู‡ุฐุง ุงู„ุซุงูŠู…ูŠู† ูˆ
1156
+
1157
+ 290
1158
+ 00:25:06,270 --> 00:25:13,330
1159
+ ู‡ุงู† ุฃู†ู‡ุง ุงู„ cytosine ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุซุงูŠู…ูŠู† ูˆ ุจูŠู† ุงู„
1160
+
1161
+ 291
1162
+ 00:25:13,330 --> 00:25:19,720
1163
+ cytosine ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ุฅู†ู‡ ู‡ุงู† ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
1164
+
1165
+ 292
1166
+ 00:25:19,720 --> 00:25:25,620
1167
+ double bond ูˆ ุงู„ู„ูŠ ู‡ูˆ C double bond O ุทุจุนุง ู…ุน
1168
+
1169
+ 293
1170
+ 00:25:25,620 --> 00:25:33,160
1171
+ methyl group ูˆ ู‡ุงู† ุฅู†ู‡ ุทุจุนุง ุจุงู„ .. ุจุงู„cytosine ููŠ
1172
+
1173
+ 294
1174
+ 00:25:33,160 --> 00:25:35,080
1175
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ double bond ุฅุฐุง ูƒุงู† ู…ุง ู‚ุฑู†ู†ุงู‡ุง
1176
+
1177
+ 295
1178
+ 00:25:35,080 --> 00:25:39,700
1179
+ ุจุงู„ุซูŠู…ูŠู† ู‡ุงู† ุฅู†ู‡ ุทุจุนุง double bond O ู‡ุงู† ู…ุด ู…ูˆุฌูˆุฏุฉ
1180
+
1181
+ 296
1182
+ 00:25:39,700 --> 00:25:42,920
1183
+ ููŠ ุนู†ุฏูŠ ู‡ุงู† ู…ูˆุฌูˆุฏ ุงู„ amino group ูˆ ุทุจุนุง ุจุงู„ุซูŠู…ูŠู†
1184
+
1185
+ 297
1186
+ 00:25:42,920 --> 00:25:48,790
1187
+ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ methyl groupูŠุจู‚ู‰ ุงู„ู€ cytosine
1188
+
1189
+ 298
1190
+ 00:25:48,790 --> 00:25:53,330
1191
+ ุฅุฐุง ูƒุงู† ุตุงุฑ ู„ู‡ุง methylation ูˆุงู†ุถุงู ู„ู‡ุง methyl
1192
+
1193
+ 299
1194
+ 00:25:53,330 --> 00:25:57,550
1195
+ group ู…ู…ูƒู† ุงู„ cytosine ูŠุตูŠุฑ ู„ู‡ุง ุจุนุฏ ู‡ูŠูƒ
1196
+
1197
+ 300
1198
+ 00:25:57,550 --> 00:26:03,170
1199
+ deamination ูˆ ุชุชุญูˆู„ ุฅู„ู‰ thymine ูˆ ุงู„ููƒุฑุฉ ู‡ุฐุง ุจูŠูˆุถุญ
1200
+
1201
+ 301
1202
+ 00:26:03,170 --> 00:26:06,990
1203
+ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ cytosine ู…ู…ูƒู† ุชุชุญูˆู„ ู„ุซู…ูŠู† ูŠู‡ูŠุฃ ุฃู†
1204
+
1205
+ 302
1206
+ 00:26:06,990 --> 00:26:09,910
1207
+ ุงู„ cytosine ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง methylation
1208
+
1209
+ 303
1210
+ 00:26:09,910 --> 00:26:15,560
1211
+ ูŠู†ุถู methyl groupุงู„ุขู† ู„ูˆ ุตุงุฑ ููŠู‡ ุฃู†ู‡ ุงู„ู€
1212
+
1213
+ 304
1214
+ 00:26:15,560 --> 00:26:17,960
1215
+ deamination ุตุงุฑ ุฃู†ู‡ ู†ุฒุน ู„ู„ู€ amino group ุงู„ู„ูŠ
1216
+
1217
+ 305
1218
+ 00:26:17,960 --> 00:26:22,940
1219
+ ู…ูˆุฌูˆุฏุฉ ู‡ุงู† ูŠุจู‚ู‰ ุงู„ cytosine ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุจู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1220
+
1221
+ 306
1222
+ 00:26:22,940 --> 00:26:27,020
1223
+ ุงู„ ู…ุซุงู„ ุงู„ cytosine ู‡ุชุชุญูˆู„ ุฅู„ู‰ thymine ูŠุจู‚ู‰ ุงู„
1224
+
1225
+ 307
1226
+ 00:26:27,020 --> 00:26:31,260
1227
+ methylation ู„ู„ cytosine ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ ุงู„
1228
+
1229
+ 308
1230
+ 00:26:31,260 --> 00:26:34,960
1231
+ transition ู…ู† cytosine ุฅู„ู‰ thymine
1232
+
1233
+ 309
1234
+ 00:26:46,700 --> 00:26:52,480
1235
+ ุงู„ู€ CG Clusters ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ CG Islands โ€are
1236
+
1237
+ 310
1238
+ 00:26:52,480 --> 00:26:56,400
1239
+ located in the promoter region โ€of 50% of human
1240
+
1241
+ 311
1242
+ 00:26:56,400 --> 00:27:00,860
1243
+ genes ูŠุนู†ูŠ ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ุชู„ุงู‚ูˆุง ุฅู†ู‡ ู‡ุฐู‡ ุงู„ู€
1244
+
1245
+ 312
1246
+ 00:27:00,860 --> 00:27:07,520
1247
+ clusters ู…ูˆุฌูˆุฏุฉ ุจู€ 50% ู…ู† ุงู„ู€ human genes ูˆุนู†ุง ู…ู†
1248
+
1249
+ 313
1250
+ 00:27:07,520 --> 00:27:11,220
1251
+ ุงู„ู…ู†ุงุทู‚
1252
+
1253
+ 314
1254
+ 00:27:11,220 --> 00:27:17,430
1255
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ุงู„ู€ CBG Islandsูˆุงู„ู„ูŠ ููŠ ุตุงุฑ
1256
+
1257
+ 315
1258
+ 00:27:17,430 --> 00:27:21,970
1259
+ methylation ู„ู€ cytosines ููŠ ุงู„ู€ promoter ู„ regions
1260
+
1261
+ 316
1262
+ 00:27:21,970 --> 00:27:26,070
1263
+ ุนู„ู‰ ุงู„ู€ X-chromosome ุงู„ู„ูŠ ู‡ูˆ ุฃู†ุง ุนู†ุฏูŠ inactivated
1264
+
1265
+ 317
1266
+ 00:27:26,070 --> 00:27:32,130
1267
+ genes ุจุงู„ู€ X-chromosome ุฃูˆ ุจุฑุถู‡ ููŠ ุงู„ู€ imprinted
1268
+
1269
+ 318
1270
+ 00:27:32,130 --> 00:27:32,790
1271
+ genes
1272
+
1273
+ 319
1274
+ 00:27:38,960 --> 00:27:41,740
1275
+ ูŠุจู‚ู‰ in general the CG islands found in gene
1276
+
1277
+ 320
1278
+ 00:27:41,740 --> 00:27:46,380
1279
+ promoter regions are not methylated ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู†
1280
+
1281
+ 321
1282
+ 00:27:46,380 --> 00:27:51,150
1283
+ ูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ gene activeู„ูƒู† ุงู„ู€ methylated
1284
+
1285
+ 322
1286
+ 00:27:51,150 --> 00:27:54,730
1287
+ cytosines are found mainly in repetitive sequences
1288
+
1289
+ 323
1290
+ 00:27:54,730 --> 00:27:57,990
1291
+ and in the CG islands found in the promoter region
1292
+
1293
+ 324
1294
+ 00:27:57,990 --> 00:28:02,190
1295
+ of repressed genes ูŠุจู‚ู‰ ุงู„ุฌูŠู† ุฅุฐุง ูƒุงู† ุจูŠุณู„ู‡ูˆุด
1296
+
1297
+ 325
1298
+ 00:28:02,190 --> 00:28:05,590
1299
+ exception ุจูŠูƒูˆู† ููŠู‡ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ CG islands
1300
+
1301
+ 326
1302
+ 00:28:05,590 --> 00:28:09,250
1303
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ promoter ุจุชูƒูˆู† methylated ูˆุจุงู„ุชุงู„ูŠ
1304
+
1305
+ 327
1306
+ 00:28:09,250 --> 00:28:12,910
1307
+ ู‡ุฐุง ุจูŠุนู…ู„ู„ูŠ silencing ู„ู„ุฌูŠู†
1308
+
1309
+ 328
1310
+ 00:28:14,600 --> 00:28:18,660
1311
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุงุชุŒ ุงู„ู…ูŠุซุงู„ูŠุดู† ู‡ูˆ ุฅุดุงุฑุฉ ู…ุณู…ูˆุญูŠุฉ ู…ุฑุชุจุทุฉ
1312
+
1313
+ 329
1314
+ 00:28:18,660 --> 00:28:25,100
1315
+ ู…ุน ุฃุณู„ุญุฉ ูƒูˆู…ุจุงูƒุชูŠู†ูŠุฉ ูƒุฑูˆู…ุงุชูŠู†ูŠุฉ ูˆู…ุญุงูุธุฉ ุนู„ู‰ ุฅุบู„ุงู‚
1316
+
1317
+ 330
1318
+ 00:28:25,100 --> 00:28:25,580
1319
+ ุงู„ุฌูŠู†
1320
+
1321
+ 331
1322
+ 00:28:28,340 --> 00:28:33,840
1323
+ ูˆูƒู…ุงู† ู‡ุฐุง ู…ุฑุชุจุท ุฃูŠุถู‹ุง ุจู€ chromatin structure ุจูŠูƒูˆู†
1324
+
1325
+ 332
1326
+ 00:28:33,840 --> 00:28:37,740
1327
+ ุจุฑุถู‡ ู„ู†ุง ุงู„ู€ chromatin structure ุงู„ู„ูŠ ู‡ูˆ more
1328
+
1329
+ 333
1330
+ 00:28:37,740 --> 00:28:42,680
1331
+ compact ูˆุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ู„ู†ุง ุงู„ modifications
1332
+
1333
+ 334
1334
+ 00:28:42,680 --> 00:28:47,000
1335
+ enzymes ู‡ุฐู‡ ุจุชุดุชุบู„ ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู
1336
+
1337
+ 335
1338
+ 00:28:47,000 --> 00:28:52,600
1339
+ ูƒู…ุงู† ุดูˆูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงู„ enzymes
1340
+
1341
+ 336
1342
+ 00:28:52,600 --> 00:28:57,980
1343
+ called DNA methyl transferases DNMT
1344
+
1345
+ 337
1346
+ 00:29:00,370 --> 00:29:05,590
1347
+ ู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุนู…ู„ ุนู„ู‰ ู†ู‚ู„ ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงูŠู„ ุฌุฑูˆุจ Mediate
1348
+
1349
+ 338
1350
+ 00:29:05,590 --> 00:29:09,150
1351
+ the covalent addition of a methyl group from the
1352
+
1353
+ 339
1354
+ 00:29:09,150 --> 00:29:14,510
1355
+ methyl carrier S-adenosylmethonine ุงู„ู„ูŠ ููŠู‡ ุฃู†ู‡ุง
1356
+
1357
+ 340
1358
+ 00:29:14,510 --> 00:29:20,690
1359
+ ุฃู†ุฒูŠู… ูˆููŠู‡ ุฃู† ุงู„ูƒุงุฑูŠูŠุฑ ู„ุงู„ู…ุซุงูŠู„ ุฌุฑูˆุจ ุงู„ุงู†ุฒูŠู… ุงู„ู„ูŠ
1360
+
1361
+ 341
1362
+ 00:29:20,690 --> 00:29:24,490
1363
+ ู‡ูˆ ุงู„ DNA methyl transferaseุจูŠุงุฎุฏ ุงู„ู€ methyl group
1364
+
1365
+ 342
1366
+ 00:29:24,490 --> 00:29:28,270
1367
+ ู…ู† ุงู„ูƒุงุฑูŠุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ S-Adenosyl Methionine
1368
+
1369
+ 343
1370
+ 00:29:28,270 --> 00:29:35,210
1371
+ ูˆุจูŠุถูŠูู‡ุง ู„ู€ Cytosine It has been suggested that
1372
+
1373
+ 344
1374
+ 00:29:35,210 --> 00:29:37,890
1375
+ the mechanism by which methylation results in
1376
+
1377
+ 345
1378
+ 00:29:37,890 --> 00:29:42,830
1379
+ silencing is by recruiting methyl binding domain
1380
+
1381
+ 346
1382
+ 00:29:42,830 --> 00:29:47,710
1383
+ proteins which have been shown to interact with
1384
+
1385
+ 347
1386
+ 00:29:47,710 --> 00:29:53,490
1387
+ histone deacetylaseุฃู†ุฏูŠูƒุฑูˆู…ุชูŠู† ุฑูŠู…ูˆุฏูŠู„ูŠู†ุฌ ุฅู†ุฒุงูŠู…
1388
+
1389
+ 348
1390
+ 00:29:53,490 --> 00:29:57,490
1391
+ ุชู…ุงู… ุจุฌู‡ุฏ ุจุฑุถู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู€
1392
+
1393
+ 349
1394
+ 00:29:57,490 --> 00:30:03,150
1395
+ epigenetic ุงู„ู„ูŠ ู‡ูˆ remodeling enzymes ุจุชุดุชู…ุน ุจุนุถู‡ุง
1396
+
1397
+ 350
1398
+ 00:30:03,150 --> 00:30:07,340
1399
+ ุงู„ุจุนุถ ุจู‡ูŠุฆุฉ ุฅู†ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA methyltransferase
1400
+
1401
+ 351
1402
+ 00:30:07,340 --> 00:30:10,760
1403
+ ุงู„ู„ูŠ ุจูŠู‚ูˆู„ ุงู„ู„ูŠ ู‡ูˆ methyl group ููŠ ุนู†ุฏู†ุง ุจูŠุตูŠุฑ ุงู„ู€
1404
+
1405
+ 352
1406
+ 00:30:10,760 --> 00:30:14,680
1407
+ recruiting ู„ุงู„ู…ูŠุซุงู„ ุงู„ู„ูŠ ู‡ูˆ binding domain
1408
+
1409
+ 353
1410
+ 00:30:14,680 --> 00:30:18,460
1411
+ ุงู„ุจุฑูˆุชูŠู† ูˆ ุงู„ู„ูŠ ุจุชุฌูŠุจ ุนู†ุฏู†ุง ุฃูˆ ุจุชุนู…ู„ interaction
1412
+
1413
+ 354
1414
+ 00:30:18,460 --> 00:30:22,000
1415
+ ู…ุน ุงู„ู‡ุณุชูˆู† ุฏูŠ ุฃุณูŠุทูŠู„ุงุฒ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ุฃู† ุงู„ู†ุฒู„
1416
+
1417
+ 355
1418
+ 00:30:22,000 --> 00:30:26,620
1419
+ ู„ุฃุณูŠุทูŠู„ group ูˆุจุงู„ุชุงู„ูŠ ุงู„ chromatin ุจูŠุตูŠุฑ more
1420
+
1421
+ 356
1422
+ 00:30:26,620 --> 00:30:30,240
1423
+ compact ูŠุจู‚ู‰ ุงู„ methylation ูƒู…ุงู† ูˆุฒูŠ ู…ุง ุชู‚ูˆู„ ุญูƒูŠู†ุง
1424
+
1425
+ 357
1426
+ 00:30:30,240 --> 00:30:34,620
1427
+ ู‚ุจู„ ุดูˆูŠุฉ ุจูŠุฎู„ูŠ ุนู†ุฏ ุงู„ chromatin more compact
1428
+
1429
+ 358
1430
+ 00:30:36,300 --> 00:30:41,920
1431
+ ุจุงู„ุชุงู„ูŠุŒ ุฅุฏุงุฑุฉ ุฃุจูŠุฌูŠู†ูŠุฉ ุงู„ุชุฑุงู†ุณูŠุจ ูŠุญุชุงุฌ ุฅู„ู‰ ู…ู†ุงู‚ุดุฉ
1432
+
1433
+ 359
1434
+ 00:30:41,920 --> 00:30:48,080
1435
+ ุจูŠู† ู…ูŠุซุงูŠู„ุงุชูŠู† ูˆูƒุฑูˆู…ุงุชูŠู† ู„ุชุตู…ูŠู… ุงู„ุงู†ุฒูŠุงู… ูˆุญุตุงู†ุงุช
1436
+
1437
+ 360
1438
+ 00:30:48,080 --> 00:30:53,180
1439
+ ู‡ุณุชูˆู† ุชู…ุงู…ุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ู†ุงูƒ ู…ู†ุงู‚ุดุฉ ุจูŠู† ู‡ุฐู‡
1440
+
1441
+ 361
1442
+ 00:30:53,180 --> 00:30:56,220
1443
+ ุงู„ุฃู†ุฒูŠุงู…
1444
+
1445
+ 362
1446
+ 00:30:56,220 --> 00:30:58,000
1447
+ ุงู„ู…ุฎุชู„ูุฉ
1448
+
1449
+ 363
1450
+ 00:31:01,850 --> 00:31:07,250
1451
+ ูŠุจู‚ู‰ ูˆ ุงู„ููƒุฑุฉ ู‡ุฐุง ุจูŠูˆุถุญ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง ูƒุงู† ุงู„ู„ูŠ ู‡ูˆ
1452
+
1453
+ 364
1454
+ 00:31:07,250 --> 00:31:12,850
1455
+ ุจุงู„ู†ุงุญูŠุฉ ุงู„ุนู„ูŠุง ุฅุฐุง ุตุงุฑ ููŠู†ุง ุงู„ู„ูŠ ู‡ูˆ methylation
1456
+
1457
+ 365
1458
+ 00:31:13,680 --> 00:31:20,120
1459
+ ู„ู„ู€ DNA ุงู„ู„ูŠ ู‡ูˆ ุนู† ุทุฑูŠู‚ ุงู„ู€ DMT1 ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง
1460
+
1461
+ 366
1462
+ 00:31:20,120 --> 00:31:25,580
1463
+ ุจูŠุนู…ู„ recruitment ู„ู€ histone-d-acetylase ูˆุจุงู„ุชุงู„ูŠ
1464
+
1465
+ 367
1466
+ 00:31:25,580 --> 00:31:28,980
1467
+ ู†ุฒุน ู„ู‚ู‰ ุงู„ู€ acetyl group ูˆุจุงู„ุชุงู„ูŠ ุจูŠุฎู„ูŠ ุงู„ู„ูŠ ู‡ูˆ
1468
+
1469
+ 368
1470
+ 00:31:28,980 --> 00:31:32,580
1471
+ ุงู„ู€ chromatin more compact ูˆุจุงู„ุชุงู„ูŠ silent
1472
+
1473
+ 369
1474
+ 00:31:32,580 --> 00:31:38,800
1475
+ chromatin ุจูŠู†ู…ุงูˆูˆุฌูˆุฏ ุทุจุนุง ููŠ ุนุฏู… ูˆุฌูˆุฏ ุงู„ู€
1476
+
1477
+ 370
1478
+ 00:31:38,800 --> 00:31:44,780
1479
+ methylation ูˆููŠ ูˆุฌูˆุฏ ุงู„ู€ histone acetyltransferase
1480
+
1481
+ 371
1482
+ 00:31:44,780 --> 00:31:49,920
1483
+ ุจูŠุชู… ุฅุถุงูุฉ ุงู„ู€ acetyl group ู„ู€ ุงู„ู€ histones ูˆู‡ุฐุง
1484
+
1485
+ 372
1486
+ 00:31:49,920 --> 00:31:53,740
1487
+ ุจูŠุฎู„ูŠ ุงู„ู€ chromatin ุทุจุนุง more relaxed ูˆุจูŠุนู…ู„
1488
+
1489
+ 373
1490
+ 00:31:53,740 --> 00:31:57,120
1491
+ recruitment ู„ู€ transcription factors ูˆ ู„ู€ RNA
1492
+
1493
+ 374
1494
+ 00:31:57,120 --> 00:32:01,140
1495
+ polymerase ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ูŠุนุชุจุฑ active chromatin
1496
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/CIlA_XHwIIE_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/CIlA_XHwIIE_raw.srt ADDED
@@ -0,0 +1,1496 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,870 --> 00:00:06,850
3
+ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ chromatin structure ูˆูƒูŠู ู…ู…ูƒู† ูŠุฃุซุฑ
4
+
5
+ 2
6
+ 00:00:06,850 --> 00:00:12,890
7
+ ุนู„ู‰ ุงู„ gene expression ุทุจุนุง ุงู„ chromatin structure
8
+
9
+ 3
10
+ 00:00:12,890 --> 00:00:19,810
11
+ ูˆ ู…ู† ุฎู„ุงู„ ูƒูˆู†ู‡ compact or relaxed ู‡ุฐุง ุจูŠู„ุนุจ ุฏูˆุฑ
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:24,750
15
+ ู…ู‡ู… ููŠ ุงู„ genes ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุตู„ ู„ู‡ุง expression ุฃูˆ
16
+
17
+ 5
18
+ 00:00:24,750 --> 00:00:28,990
19
+ silencingูŠุจู‚ู‰ degree of compaction or relaxation
20
+
21
+ 6
22
+ 00:00:28,990 --> 00:00:32,830
23
+ of a chromatin determines how readily the DNA in a
24
+
25
+ 7
26
+ 00:00:32,830 --> 00:00:35,510
27
+ protein in a portion of chromatin can be
28
+
29
+ 8
30
+ 00:00:35,510 --> 00:00:40,610
31
+ transcribed ุฅุฐุง ูƒุงู† ู‚ูˆู„ู†ุง ุฅู†ู‡ ุงู„ .. ุงู„ู…ู†ุทู‚ุฉ ู…ู† ุงู„
32
+
33
+ 9
34
+ 00:00:40,610 --> 00:00:44,570
35
+ chromatin is highly compact ุชู…ุงู… ูŠุจู‚ู‰ hand cannot
36
+
37
+ 10
38
+ 00:00:44,570 --> 00:00:48,610
39
+ be transcribed ูˆุจุงู„ุชุงู„ูŠ it is transcriptionally
40
+
41
+ 11
42
+ 00:00:48,610 --> 00:00:55,130
43
+ silent ู„ุฃู†ู‡ highly compact ุชู…ุงู… ุงู„ู…ู†ุทู‚ุฉ ู…ุถุบูˆุทุฉ
44
+
45
+ 12
46
+ 00:00:55,130 --> 00:01:01,830
47
+ ุจุดูƒู„ ูƒุจูŠุฑูˆุจุงู„ุชุงู„ูŠ ุตุนุจ ุฅู†ู‡ ูŠุตูŠุฑ ููŠู†ุง access ู„ู„ู€
48
+
49
+ 13
50
+ 00:01:01,830 --> 00:01:05,230
51
+ Transcription Factors ูˆ ุงู„ู€ Proteinุงุช ุงู„ุฃุฎุฑู‰
52
+
53
+ 14
54
+ 00:01:05,230 --> 00:01:10,550
55
+ ูˆุจุงู„ุชุงู„ูŠ ุงุณุชุฏุนุงุก ู„ู„ู€ RNAs ุนุดุงู† ู„ู„ู€ RNA Polymerase
56
+
57
+ 15
58
+ 00:01:10,550 --> 00:01:16,770
59
+ ุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง Transcription ุจูŠู†ู…ุง ุงู„ู…ู†ุงุทู‚ ู…ู† ุงู„ู€
60
+
61
+ 16
62
+ 00:01:16,770 --> 00:01:20,750
63
+ Chromatin ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ more relaxed chromatin is
64
+
65
+ 17
66
+ 00:01:20,750 --> 00:01:26,400
67
+ accessible for Transcriptionุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
68
+
69
+ 18
70
+ 00:01:26,400 --> 00:01:34,600
71
+ Relax ุงู„ู„ูŠ ู…ุด ู…ุถุบูˆุทุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฑุฎูŠุฉ ุจูŠูƒูˆู† ุณู‡ู„ ุฅู†ู‡
72
+
73
+ 19
74
+ 00:01:34,600 --> 00:01:38,140
75
+ ูŠุตู„ ู„ุฅู†ู†ุง ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุฎุชู„ูุฉ ูˆุงู„ุฃุฑู†ุจ ูˆุงู„ู…ุฑุงูŠุฒ
76
+
77
+ 20
78
+ 00:01:38,140 --> 00:01:42,140
79
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ transcription ูŠุจู‚ู‰ ุงู„ chromatin
80
+
81
+ 21
82
+ 00:01:42,140 --> 00:01:47,720
83
+ structure ู…ู…ูƒู† ูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ุฌูŠู† expression the
84
+
85
+ 22
86
+ 00:01:47,720 --> 00:01:50,900
87
+ structure of a chromatin from compacted to relaxed
88
+
89
+ 23
90
+ 00:01:50,900 --> 00:01:55,740
91
+ can't changeูˆู‡ูŠ ู‡ุฐู‡ ุงู„ู…ูŠุฒุฉ ุงู„ู„ูŠ ุชุฌุนู„ู‡ุง ุชุญุชูˆูŠ ุนู„ู‰
92
+
93
+ 24
94
+ 00:01:55,740 --> 00:02:01,960
95
+ ู‚ูˆุฉ ุนุงู…ุฉ ููŠ ุงู„ุชุฑุงู†ุณูŠุจ ูŠุจู‚ู‰ ุงู„ุฃู† ูƒูˆู† ุงู„ุฌุฒุก ู…ู†
96
+
97
+ 25
98
+ 00:02:01,960 --> 00:02:06,160
99
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† ู‡ู„ ู‡ูˆ compact ุฃูˆ relaxed ู‡ุฐุง ู…ู…ูƒู† ูŠุชุบูŠุฑ
100
+
101
+ 26
102
+ 00:02:06,160 --> 00:02:13,640
103
+ ูˆู…ู…ูƒู† ูŠุชุบูŠุฑ ู…ู† ุฎู„ุงู„ ุฅุฑุชุจุงุท ู…ุฌู…ูˆุนุฉ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
104
+
105
+ 27
106
+ 00:02:13,640 --> 00:02:19,120
107
+ Acetylation ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ู…ู…ูƒู† ุชุฑุชุจุท ู…ุน ุงู„ู€
108
+
109
+ 28
110
+ 00:02:19,120 --> 00:02:23,420
111
+ Hestones ูˆู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Chromatin ุงู„ู€
112
+
113
+ 29
114
+ 00:02:23,420 --> 00:02:28,920
115
+ Structure ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู€ Chromatin confirmation
116
+
117
+ 30
118
+ 00:02:28,920 --> 00:02:32,600
119
+ is encoded by heritable epigenetic modifications
120
+
121
+ 31
122
+ 00:02:32,600 --> 00:02:38,140
123
+ ุฅุจู‡ุงู† ู…ุง ู„ู‡ูˆุด ุนู„ุงู‚ุฉ ุจุชุบูŠุฑ ุจู€ sequence ุฒูŠ ู…ุง ู‚ู„ู†ุง
124
+
125
+ 32
126
+ 00:02:38,140 --> 00:02:43,460
127
+ ุจู‡ูˆ ู‡ุงู† ุนุจุงุฑุฉ ุนู† EpigeneticsุฃูŠ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ DNA
128
+
129
+ 33
130
+ 00:02:43,460 --> 00:02:49,440
131
+ Sequence ู„ูƒู† ุนู†ุฏู†ุง ุฅู…ุง expression ู„ุฌู†ุณ ุฃูˆ
132
+
133
+ 34
134
+ 00:02:49,440 --> 00:02:56,180
135
+ silencing ู„ุฌู†ุณ ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:56,180 --> 00:03:00,480
139
+ ุงู„ููŠุฌุฑ ูŠูˆุถุญ ุจุนุถ ุงู„ู€ Epigenetic Mechanisms
140
+
141
+ 36
142
+ 00:03:04,860 --> 00:03:08,700
143
+ ุงู„ุฃูŠุจูŠุฌูŠู†ูŠุงุชูŠูƒูŠุฉ ุชุชุฃุซุฑ ุนู„ู‰ ู‡ุฐู‡ ุงู„ูˆุงู‚ุนุงุช ูˆุงู„ุณู„ุณู„ุงุช
144
+
145
+ 37
146
+ 00:03:08,700 --> 00:03:12,440
147
+ ุจู‡ุง ุฏูŠ ู…ู…ูƒู† ูŠุคุซุฑ ูุนู„ูŠุง ุนู„ู‰ ุงู„ู€ Epigenetics ูŠุนู…ู„
148
+
149
+ 38
150
+ 00:03:12,440 --> 00:03:17,620
151
+ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ expression ู„ู„ุฌูŠู†ุงุช ููŠ ุนู†ุฏู†ุง ุงู„
152
+
153
+ 39
154
+ 00:03:17,620 --> 00:03:21,420
155
+ development ุงู„ environmental chemicals ุจุนุถ
156
+
157
+ 40
158
+ 00:03:21,420 --> 00:03:25,280
159
+ ุงู„chemicals ู…ู…ูƒู† ูŠุชุฃุซุฑ ูˆูŠุชุบูŠุฑ ููŠ ุงู„ Epigenetics
160
+
161
+ 41
162
+ 00:03:25,280 --> 00:03:32,430
163
+ ู„ุฏุฑุงุฌุงุชุงู„ู€ Aging ูˆุฃูŠุถู‹ุง ุงู„ู€ ุถูŠุถ ุจูŠุฏ ูƒู„ู‡ุง ูุนู„ูŠู‹ุง
164
+
165
+ 42
166
+ 00:03:32,430 --> 00:03:37,010
167
+ ุนู…ู„ูŠุงุช ู…ู…ูƒู† ุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ Epigenetics ูˆุจุงู„ุชุงู„ูŠ
168
+
169
+ 43
170
+ 00:03:37,010 --> 00:03:42,810
171
+ ููŠ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุนู†ุฏู†ุง ุงู„ู€
172
+
173
+ 44
174
+ 00:03:42,810 --> 00:03:48,050
175
+ methylation ู„ู€ ุงู„ DNA ุจุฑุถู‡ ู‡ุฐู‡ ุชุนุชุจุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
176
+
177
+ 45
178
+ 00:03:48,050 --> 00:03:52,900
179
+ Methyl group ุชุนุชุจุฑ an epigenetic factorูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
180
+
181
+ 46
182
+ 00:03:52,900 --> 00:03:55,620
183
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ diet ู…ู…ูƒู† ูŠุนู…ู„ ุชุบูŠูŠุฑ ูˆูุนู„ูŠุง ุงู„ู€ methyl
184
+
185
+ 47
186
+ 00:03:55,620 --> 00:04:00,400
187
+ group ู…ูˆุฌูˆุฏุฉ in some dietary sources ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู
188
+
189
+ 48
190
+ 00:04:00,400 --> 00:04:04,880
191
+ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ methylation ู…ู…ูƒู† ูŠุบูŠุฑ ู…ู† ุงู„
192
+
193
+ 49
194
+ 00:04:04,880 --> 00:04:14,000
195
+ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ู‡ุงู†ุง
196
+
197
+ 50
198
+ 00:04:14,000 --> 00:04:19,240
199
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„acetylationุŒ ุชู…ุงู…ุŒ ุจุฑุถู‡ุทุจุนุง ู…ู…ูƒู†
200
+
201
+ 51
202
+ 00:04:19,240 --> 00:04:23,540
203
+ ุชู„ุนุจ ุฏูˆุฑ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ุขู† ุจุฑุถู‡ ูƒู…ุงู† ุดูˆูŠุฉ ูˆ ู‡ุฐู‡
204
+
205
+ 52
206
+ 00:04:23,540 --> 00:04:27,340
207
+ ุงู„ุนู…ู„ูŠุงุช ุทุจุนุง ุจุชุฃุซุฑ ุจูŠ ุงู†ู‡ุง ุนู„ู‰ ุงู„ health ูŠุนู†ูŠ
208
+
209
+ 53
210
+ 00:04:27,340 --> 00:04:30,540
211
+ ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ cancer ู…ู…ูƒู† ุชุคุฏูŠ ุฅู„ู‰ autoimmune
212
+
213
+ 54
214
+ 00:04:30,540 --> 00:04:34,700
215
+ disease mental disorders ุฃูˆ ุจูŠุจูŠุชุณ ู‡ุฐุง ูƒู„ู‡ ู…ู…ูƒู†
216
+
217
+ 55
218
+ 00:04:34,700 --> 00:04:39,920
219
+ ูŠุตูŠุฑ ู…ู† ุฎู„ุงู„ ุงู„ูˆ ุงู„ epigenetic factors ุงู„ู…ุฎุชู„ูุฉ
220
+
221
+ 56
222
+ 00:04:39,920 --> 00:04:46,820
223
+ ุทูŠุจ
224
+
225
+ 57
226
+ 00:04:46,970 --> 00:04:52,150
227
+ ุงู„ุชุญูƒู… ุงู„ู‡ูŠุจูŠุฌูŠู†ูŠูƒูŠ ู„ู„ุชุนุฑูŠู ุงู„ู‡ูŠุจูŠุฌูŠู†ูŠูƒูŠ ูŠุชุนุฑู ุนู„ู‰
228
+
229
+ 58
230
+ 00:04:52,150 --> 00:04:57,850
231
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู…ุณุชุญูŠู„ุฉ ุงู„ุชูŠ ุชู… ุชุตู…ูŠู…ู‡ุง ุจุชุบูŠูŠุฑ ุฌู†ู…ู‡ุง
232
+
233
+ 59
234
+ 00:04:57,850 --> 00:05:03,050
235
+ ูˆู…ุฌู…ูˆุนุงุช ุงู„ูƒุฑู…ุชูŠู† ู‡ุฐู‡
236
+
237
+ 60
238
+ 00:05:03,050 --> 00:05:09,940
239
+ ุงู„ุชุบูŠูŠุฑุงุช ุชุฃุซุฑ ุนู„ู‰ ุฃุณุงุณูŠุฉ ูˆุฅุซุจุงุช ุงู„ูƒุฑู…ุชูŠู†ุจูŠุบูŠุฑ ููŠ
240
+
241
+ 61
242
+ 00:05:09,940 --> 00:05:14,140
243
+ ุงู„ู€ structure ูˆ ุงู„ confirmation ู„ูƒู† ุจูŠุตูŠุฑุด ููŠ
244
+
245
+ 62
246
+ 00:05:14,140 --> 00:05:19,480
247
+ ุนู†ุฏู†ุง ุฃูŠ ุชุบูŠูŠุฑ ุทุจุนุง ููŠ ุงู„ DNA sequence ูˆู‡ุฐุง ุงู„ุชุบูŠุฑ
248
+
249
+ 63
250
+ 00:05:19,480 --> 00:05:24,080
251
+ ููŠ ุงู„ structure ุฃูˆ ุงู„ confirmation ุจูŠุคุฏูŠ ุฅู„ู‰ ุทุจุนุง
252
+
253
+ 64
254
+ 00:05:24,080 --> 00:05:31,000
255
+ ุชุบูŠุฑ ููŠ ุงู„ transcription ู„ุจุนุถ
256
+
257
+ 65
258
+ 00:05:31,000 --> 00:05:35,180
259
+ ุงู„ genesEpigenetic alterations in gene expression
260
+
261
+ 66
262
+ 00:05:35,180 --> 00:05:38,360
263
+ do not cause a change in the nucleotide sequence
264
+
265
+ 67
266
+ 00:05:38,360 --> 00:05:42,860
267
+ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ุฃู†ู‡ ู…ุงููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ sequence ู„ุฃ ุงู„
268
+
269
+ 68
270
+ 00:05:42,860 --> 00:05:46,000
271
+ DNA ู…ุงููŠุด ุชุบูŠูŠุฑ ููŠ ุงู„ nucleotide sequence ุชู…ุงู…
272
+
273
+ 69
274
+ 00:05:46,000 --> 00:05:50,400
275
+ ูˆุจุงู„ุชุงู„ูŠ they therefore are not mutations ุฃู‡ ูŠุจู‚ู‰
276
+
277
+ 70
278
+ 00:05:50,400 --> 00:05:52,980
279
+ ู‡ุฐู‡ ู„ุง ุชุนุชุจุฑ mutations ู„ุฃู† ุงู„ DNA sequence ุฒูŠ ู…ุง
280
+
281
+ 71
282
+ 00:05:52,980 --> 00:05:57,180
283
+ ู‡ูŠ ู„ูƒู† ุฒูŠ ู…ุง ุญู†ุดูˆู ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠูŠุฑ ููŠ ุงู„ gene
284
+
285
+ 72
286
+ 00:05:57,180 --> 00:05:58,460
287
+ expression
288
+
289
+ 73
290
+ 00:06:05,750 --> 00:06:08,550
291
+ ุทุจุนุง ุจุนุถ ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู„ูŠ ุจุชุตูŠุฑ ุนู† ุทุฑูŠู‚ ุงู„ู€
292
+
293
+ 74
294
+ 00:06:08,550 --> 00:06:12,710
295
+ Epigenetics ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ activation ู…ู…ูƒู† ู„ุจุนุถ ุงู„
296
+
297
+ 75
298
+ 00:06:12,710 --> 00:06:18,290
299
+ genes ุฃูˆ ุงู„ silencing ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰ ุฃูƒูŠุฏ ู‡ุฐู‡ ู…ู‡ู…ุฉ ููŠ
300
+
301
+ 76
302
+ 00:06:18,290 --> 00:06:23,840
303
+ ุงู„ differentiation ู„ู„ุฎู„ุงูŠุงุชู…ุงู…ุŒ ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
304
+
305
+ 77
306
+ 00:06:23,840 --> 00:06:32,180
307
+ ุชู…ุงุคุฒ ู„ุฎู„ุงูŠุง ูˆู†ุญุตู„ ุนู„ู‰ ุฎู„ูŠุฉ ููŠ organ ู…ุนูŠู† ูŠุจุฏูˆ
308
+
309
+ 78
310
+ 00:06:32,180 --> 00:06:37,600
311
+ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุชุบูŠุฑ ููŠ ุงู„ expression ู„ ุงู„ genes ู„ุฃู†
312
+
313
+ 79
314
+ 00:06:37,600 --> 00:06:40,380
315
+ ุงู„ DNA ุฒูŠ ู…ุง ุงู†ุชูˆุง ุนุงุฑููŠู† ููŠ ูƒู„ ุงู„ุฎู„ุงูŠุง ู‡ูˆ DNA
316
+
317
+ 80
318
+ 00:06:40,380 --> 00:06:45,830
319
+ ูˆุงุญุฏุฃูŠุด ุจูŠุฎู„ู‘ูŠ ุฎู„ูŠุฉ ุชุฎุชู„ู ุนู† ุฎู„ูŠุฉ ุฃุฎุฑู‰ ู…ู…ูƒู† ุจุงู„ู€
320
+
321
+ 81
322
+ 00:06:45,830 --> 00:06:51,410
323
+ functions ูˆ ุจุงู„ุฃู…ูˆุฑ ุงู„ุฃุฎุฑู‰ ู‡ูˆ ุงู„ expression ู„ ุงู„
324
+
325
+ 82
326
+ 00:06:51,410 --> 00:06:55,190
327
+ genes ูˆุงู„ู„ูŠ ุงู„ epigenetics ุจุชู„ุนุจ ุฏูˆุฑ ููŠ ุงู„
328
+
329
+ 83
330
+ 00:06:55,190 --> 00:06:59,710
331
+ silencing ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ expression ู„ุฌูŠู†ุงุช
332
+
333
+ 84
334
+ 00:06:59,710 --> 00:07:05,330
335
+ ุฃุฎุฑู‰ for example stem cells are maintained in stem
336
+
337
+ 85
338
+ 00:07:05,330 --> 00:07:09,800
339
+ cell stateุจุงู„ู€ Epigenetic Silencing โ€of Genes
340
+
341
+ 86
342
+ 00:07:09,800 --> 00:07:13,500
343
+ Important โ€for Differentiation โ€ูŠุจู‚ู‰ ุงู„ู€ Stem
344
+
345
+ 87
346
+ 00:07:13,500 --> 00:07:17,060
347
+ Cells ุจุชุถู„ู‡ุง Stem Cell โ€ูˆ ุจูŠุตู„ู‡ุงุด Differentiation
348
+
349
+ 88
350
+ 00:07:17,060 --> 00:07:21,960
351
+ โ€ู„ุฃู†ู‡ ุงู„ู€ Differentiation Genes โ€ู…ุนู…ูˆู„ ู„ู‡ุง
352
+
353
+ 89
354
+ 00:07:21,960 --> 00:07:27,240
355
+ Silencing โ€ููŠ Silencing ู„ุฌู†ุณ ุงู„ู„ูŠ ุจุชุคุฏูŠ โ€ุฅู„ู‰ ุงู„
356
+
357
+ 90
358
+ 00:07:27,240 --> 00:07:34,340
359
+ Differentiationูˆุจุงู„ุชุงู„ูŠ ุจุชุธู„ู‡ุง ู…ูˆุฌูˆุฏุฉ ูƒู€ stem cell
360
+
361
+ 91
362
+ 00:07:34,340 --> 00:07:37,840
363
+ ูŠุจู‚ู‰ ู†ุชูˆู‚ุน ุฃู†ู‡ ุฅุฐุง ูƒุงู† ุจุฏู‰ ูŠุตูŠุฑ ููŠู†ุง
364
+
365
+ 92
366
+ 00:07:37,840 --> 00:07:43,980
367
+ differentiation ูŠุจู‚ู‰ ู…ู…ูƒู† ุจุนุถ ู…ู† ู‡ุฐู‡ ุงู„ genes ุงู„ู„ูŠ
368
+
369
+ 93
370
+ 00:07:43,980 --> 00:07:47,480
371
+ .. ุงู„ู„ูŠ ู…ุนู…ูˆู„ู‡ุง silencing ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง expression
372
+
373
+ 94
374
+ 00:07:47,480 --> 00:07:54,240
375
+ ูˆ ุชุจุฏุฃ ุงู„ุฎู„ูŠุฉ ููŠ ุงู„ุชู…ุงูŠุฒIt is differential gene
376
+
377
+ 95
378
+ 00:07:54,240 --> 00:07:57,660
379
+ expression that makes one cell type different from
380
+
381
+ 96
382
+ 00:07:57,660 --> 00:08:00,840
383
+ another ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ูุนู„ูŠุง ุงู„ู€
384
+
385
+ 97
386
+ 00:08:00,840 --> 00:08:04,480
387
+ gene expression ู‡ูˆ ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุฎู„ูŠุฉ ุนู† ุฎู„ูŠ๏ฟฝ๏ฟฝ ุฃุฎุฑู‰
388
+
389
+ 98
390
+ 00:08:04,480 --> 00:08:09,840
391
+ ู„ุฃู† ุงู„ู€ DNA ูˆุงุญุฏ ุงู„ู…ูˆุฌูˆุฏ ู„ูƒู† ุงู„ู„ูŠ ุจูŠุนู…ู„ ุชู…ุงูŠุฒ ู‡ูˆ
392
+
393
+ 99
394
+ 00:08:09,840 --> 00:08:13,100
395
+ ุงู„ู€ expression ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุฃูˆ ุงู„ู€ silencing
396
+
397
+ 100
398
+ 00:08:13,100 --> 00:08:17,210
399
+ ู„ุฌูŠู†ุงุช ุฃุฎุฑู‰ุณู†ุชุญุฏุซ ุนู†
400
+
401
+ 101
402
+ 00:08:17,210 --> 00:08:43,710
403
+ ุฅุจูŠุฌูŠู†ุงุชูŠูƒูŠูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†ูŠู†
404
+
405
+ 102
406
+ 00:08:47,920 --> 00:08:51,560
407
+ ุงู„ู€ Epigenetic Regulation of Transcription ู†ูƒู…ู„
408
+
409
+ 103
410
+ 00:08:51,560 --> 00:08:57,280
411
+ ุทุจุนุงู‹ both can be acquired or inherited ุงู„
412
+
413
+ 104
414
+ 00:08:57,280 --> 00:09:03,060
415
+ Epigenetics ู…ู…ูƒู† ุชูƒูˆู† inherited ู„ูƒู† ุจุฑุถู‡ ู…ู…ูƒู† ุชูƒูˆู†
416
+
417
+ 105
418
+ 00:09:03,060 --> 00:09:07,520
419
+ acquired ูˆ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ุนู†ุฏู†ุง ุจุนุถ ุงู„
420
+
421
+ 106
422
+ 00:09:07,520 --> 00:09:12,320
423
+ chemicals ุจุนุถ ุงู„ drugs ุญุชู‰ ุงู„ diet ู…ู…ูƒู† ูŠุนู…ู„ูŠ ุชุบูŠุฑ
424
+
425
+ 107
426
+ 00:09:12,320 --> 00:09:15,080
427
+ ููŠ ุงู„ Epigenetics ูˆุจุงู„ุชุงู„ูŠ ุจุนุฏ ุงู„ุญุงู„ุฉ ู‡ุชูƒูˆู†
428
+
429
+ 108
430
+ 00:09:15,080 --> 00:09:22,330
431
+ acquiredุชุฃุซูŠุฑ ุนู…ู„ูŠุฉ ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ุจุฅุฏุฎุงู„ ุชุฌุงุฑุจ
432
+
433
+ 109
434
+ 00:09:22,330 --> 00:09:26,770
435
+ ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ู„ุชุฌุงุฑุจ ู†ูƒูˆู„ุงุชูŠุฉ ู†ูƒูˆู„ุงุชูŠุฉ ููŠ ู…ุคุณุณุงุช
436
+
437
+ 110
438
+ 00:09:26,770 --> 00:09:28,450
439
+ ุงู„ุฌู†ุฉ
440
+
441
+ 111
442
+ 00:09:30,290 --> 00:09:35,910
443
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ุงุฑุชุจุงุท ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู€ Bodily Groups
444
+
445
+ 112
446
+ 00:09:35,910 --> 00:09:43,310
447
+ ู…ู…ูƒู† ุทุจุนุง ูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ Chromatin ุฃู†ู‡ ู‡ู„ ู‡ูŠูƒูˆู†
448
+
449
+ 113
450
+ 00:09:43,310 --> 00:09:48,530
451
+ ู…ุถุบูˆุทุŒ compact ุฃูˆ relaxed ูˆุจุงู„ุชุงู„ูŠ ู‡ูŠุฃุซุฑ ุนู„ู‰ ูˆุตูˆู„
452
+
453
+ 114
454
+ 00:09:48,530 --> 00:09:52,850
455
+ ู„ู€ Transcription Factors ู„ู€ Promoters ู„ู€ Genes
456
+
457
+ 115
458
+ 00:09:52,850 --> 00:09:55,990
459
+ ูˆุจุงู„ุชุงู„ูŠ Expression ู„ู‡ุฐู‡ ุงู„ู€ Genes
460
+
461
+ 116
462
+ 00:10:00,340 --> 00:10:04,660
463
+ ุงู„ู…ู‡ู… ุฃู† ูŠูƒูˆู† ู…ู„ุงุญุธู‹ุง ุฃู† ุฌู…ูŠุน ุงู„ุชุฌุงุฑุจ ุงู„ุฅูŠุจูŠุฌูŠู†ูŠุฉ
464
+
465
+ 117
466
+ 00:10:04,660 --> 00:10:10,440
467
+ ุชุนู…ู„ ู…ุนู‹ุง ู„ุชุญูƒู… ููŠ ุญุงู„ุงุช ู…ูุชูˆุญุฉ ูˆู…ูุชูˆุญุฉ ู…ู† ุงู„ู€
468
+
469
+ 118
470
+ 00:10:10,440 --> 00:10:15,540
471
+ Chromatin ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ูƒู…ุงู† ุดูˆูŠุฉ ู…ุซุงู„ ุฃู†ู‡ ู…ู…ูƒู† ุฃู†
472
+
473
+ 119
474
+ 00:10:15,540 --> 00:10:19,040
475
+ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ Acetylation ู…ุน
476
+
477
+ 120
478
+ 00:10:19,040 --> 00:10:21,780
479
+ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุจุงู„ู€ Methylation ู…ู…ูƒู† ู‡ุฏูˆู„
480
+
481
+ 121
482
+ 00:10:21,780 --> 00:10:23,740
483
+ ูŠุดุชุบู„ูˆุง ู…ุน ุจุนุถ
484
+
485
+ 122
486
+ 00:10:27,410 --> 00:10:31,730
487
+ ูˆุฃูŠุถู‹ุง ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ Regulation of Transcription
488
+
489
+ 123
490
+ 00:10:31,730 --> 00:10:38,210
491
+ Factors Binding Links Genetic and Epigenetic
492
+
493
+ 124
494
+ 00:10:38,210 --> 00:10:43,570
495
+ Mechanisms ุจุฑุถู‡ ู‡ู†ุดูˆู ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุฅูŠุด ู…ุนู†ุงู‡ุง ูƒู…ุงู†
496
+
497
+ 125
498
+ 00:10:43,570 --> 00:10:51,260
499
+ ุดูˆูŠุฉ ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ Histone Modificationุฅู† ุงู„ู€
500
+
501
+ 126
502
+ 00:10:51,260 --> 00:10:54,460
503
+ histone proteins are subject to diverse post
504
+
505
+ 127
506
+ 00:10:54,460 --> 00:10:59,140
507
+ -translational modifications ูŠุจุนุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
508
+
509
+ 128
510
+ 00:10:59,140 --> 00:11:02,800
511
+ translation ูˆูŠุชูƒูˆู† ู„ุจุฑูˆุชูŠู† ุจูŠุตูŠุฑ ููŠู‡ุง post
512
+
513
+ 129
514
+ 00:11:02,800 --> 00:11:06,900
515
+ -translational modifications ู„ู„ู€ histones ูˆู…ู† ุถู…ู†
516
+
517
+ 130
518
+ 00:11:06,900 --> 00:11:09,440
519
+ ุงู„ modifications ุงู„ู„ูŠ ุจุชุตูŠุฑ Acetylation,
520
+
521
+ 131
522
+ 00:11:10,180 --> 00:11:15,260
523
+ Methylation, Phosphorylation ูˆ Ubiquitination The
524
+
525
+ 132
526
+ 00:11:15,260 --> 00:11:20,830
527
+ histone code hypothesisุชุฎุทุท ู‡ุฐู‡ ุงู„ุชุบูŠูŠุฑุงุช ุงู„ู…ุฑุชุจุทุฉ
528
+
529
+ 133
530
+ 00:11:20,830 --> 00:11:26,950
531
+ ุจุดูƒู„ ู…ุฎุชู„ู ูŠุณุงุนุฏ ููŠ ุฅุตู„ุงุญ ุงู„ู…ุฌู…ูˆุนุงุช ูˆุนู…ู„ูŠุฉ ุนู…ู„ูŠุฉ
532
+
533
+ 134
534
+ 00:11:26,950 --> 00:11:30,110
535
+ ุงู„ุชู†ุณูŠู‚ ุงู„ุชุญูƒู…ูŠ ุงู„ู…ูŠู„ูŠูƒูŠูˆู…ูŠูƒูŠ
536
+
537
+ 135
538
+ 00:11:32,680 --> 00:11:39,160
539
+ ุงู„ู‡ูŠุณุชูˆู† ูƒูˆุฏ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุญูŠุจูˆุชุณูŠุฒ that the
540
+
541
+ 136
542
+ 00:11:39,160 --> 00:11:42,220
543
+ transcription of genetic information encoded in
544
+
545
+ 137
546
+ 00:11:42,220 --> 00:11:46,320
547
+ DNA is in part regulated by chemical modifications
548
+
549
+ 138
550
+ 00:11:46,320 --> 00:11:52,920
551
+ to histone proteinsูŠุจู‚ู‰ ุนู…ู„ูŠุฉ ุงู„ู€ Transcription ู„ู€
552
+
553
+ 139
554
+ 00:11:52,920 --> 00:11:58,140
555
+ Genes ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ Chemical Modification ู„ู„ู€
556
+
557
+ 140
558
+ 00:11:58,140 --> 00:12:02,140
559
+ Histones ูˆุฏู‡ ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ู…ู† ุฎู„ุงู„ ู…ุซุงู„ ุงู„ู€
560
+
561
+ 141
562
+ 00:12:02,140 --> 00:12:09,940
563
+ Acetylation ูŠุจู‚ู‰ ู‡ู†ุญูƒูŠ ุนู† ูู‚ุท ุงู„ู€ Acetylation ุจู…ุง
564
+
565
+ 142
566
+ 00:12:09,940 --> 00:12:13,120
567
+ ุชุนู„ู‚ ุจุงู„ู€ Histone Modificationุงู„ุชุทุจูŠู‚ ุงู„ู€
568
+
569
+ 143
570
+ 00:12:13,120 --> 00:12:17,820
571
+ Acetylation of ู‡ุณุชูˆู† ุชุบูŠูŠุฑ ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ูˆุชุฃุซูŠุฑ
572
+
573
+ 144
574
+ 00:12:17,820 --> 00:12:22,040
575
+ ุนู„ู‰ ุฅุธู‡ุงุฑ ุงู„ุฌู†ุฉ ุงู„ุชุทุจูŠู‚ ุงู„ู€ Acetylation of Hestons
576
+
577
+ 145
578
+ 00:12:22,040 --> 00:12:30,020
579
+ ุชุบูŠูŠุฑ ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชุฃุซูŠุฑ ุนู„ู‰ ุฅุธู‡ุงุฑ ุงู„ุฌู†ุฉ
580
+
581
+ 146
582
+ 00:12:30,020 --> 00:12:32,720
583
+ ุงู„ุชุทุจูŠู‚ ุงู„ู€ Acetylation of Hestons acts as a
584
+
585
+ 147
586
+ 00:12:32,720 --> 00:12:35,740
587
+ docking signal for the recruitment or the
588
+
589
+ 148
590
+ 00:12:35,740 --> 00:12:39,580
591
+ repulsion of chromatin modifying factors
592
+
593
+ 149
594
+ 00:12:42,660 --> 00:12:48,880
595
+ ุฃูˆ ุนุฏู… ูˆุฌูˆุฏู‡ุง ุชู…ุงู… ุฒูŠ ุฅุดุงุฑุฉ ุชู…ุงู… ู„ ุงู„ ุงู„ other
596
+
597
+ 150
598
+ 00:12:48,880 --> 00:12:52,500
599
+ proteins ุฃูˆ other factors ุงู„ู„ูŠ ู…ู…ูƒู† ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
600
+
601
+ 151
602
+ 00:12:52,500 --> 00:12:59,680
603
+ ุจุงู„ expression ู„ ุงู„ genes ููŠ ุฃู† two enzymes ุจูŠู„ุนุจ
604
+
605
+ 152
606
+ 00:12:59,680 --> 00:13:05,240
607
+ ุฏูˆุฑ ููŠ ุงู„acetylation ุฃูˆ ุงู„ deacetylation ุฃู† ุงู„
608
+
609
+ 153
610
+ 00:13:05,240 --> 00:13:09,900
611
+ enzyme ุงู„ุฃูˆู„ histone acetyltransferase ูˆู‡ุฐุง ุงู„ู„ูŠ
612
+
613
+ 154
614
+ 00:13:09,900 --> 00:13:16,450
615
+ ุจูŠู†ู‚ู„ุฃุณูŠุชูŠู„ ุฌุฑูˆุจ ู„ู„ู‡ูŠุณุชูˆู† ูˆุนู†ุง ุงู„ุงู†ุฒูŠู† ุฃุฎุฑ ู‡ูŠุณุชูˆู†
616
+
617
+ 155
618
+ 00:13:16,450 --> 00:13:22,470
619
+ ุฏูŠ ุฃุณูŠุชูŠู„ูŠุฒ ูˆู‡ุฐุง ุงู„ู„ูŠ ุจูŠุนู…ู„ ุนู„ู‰ ุงู„ removal ู„ุฃุณูŠุชูŠู„
620
+
621
+ 156
622
+ 00:13:22,470 --> 00:13:29,170
623
+ ุฌุฑูˆุจ ู‡ูŠุณุชูˆู† ุฃุณูŠุชูŠู„ ุชุฑุงู†ุณููŠุฑูŠุฒ HAT ูˆ ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ
624
+
625
+ 157
626
+ 00:13:29,170 --> 00:13:37,850
627
+ ุฃุณูŠุชูŠู„ูŠุฒ HDAC ุงู„ู‡ูŠุณุชูˆู† ุฃุณูŠุทูŠู„ ุชุฑุงู†ุณููŠุฑูŠุฒ
628
+
629
+ 158
630
+ 00:13:40,140 --> 00:13:46,740
631
+ ุฃุณูŠุทุงู„ูŠุงุช ู…ุญุฏุฏุฉ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ุจูŠุถูŠู ุงู„ุฃุณูŠุทุงู„ูŠ
632
+
633
+ 159
634
+ 00:13:46,740 --> 00:13:56,560
635
+ ุฌุฑูˆุจ ุจูŠุถูŠูู‡ุง ูˆูŠู† ุนู†ุฏูŠ ุฃู…ูŠู†ูˆ ุฃุณุฏ ู„ูŠุฒูŠู† ุนู„ู‰ ู‡ุณุชูˆู†
636
+
637
+ 160
638
+ 00:13:56,560 --> 00:14:02,680
639
+ ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„
640
+
641
+ 161
642
+ 00:14:02,680 --> 00:14:04,260
643
+ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู† ูˆุบูŠุฑ ู‡ุณุชูˆู† ุชูŠู„ ู„ูŠุฒูŠู†
644
+
645
+ 162
646
+ 00:14:05,590 --> 00:14:08,290
647
+ ูƒู…ุงู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุฃู† ุฃุณูŠุชุงู„ ู„ูŠุด ุงู„ู„ูŠ ู„ู‡ุง ุงู„
648
+
649
+ 163
650
+ 00:14:08,290 --> 00:14:10,890
651
+ transcription factor ุงุญู†ุง ู‡ู†ุจู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„
652
+
653
+ 164
654
+ 00:14:10,890 --> 00:14:16,690
655
+ ุฎุงุต ุนู„ู‰ ุงู„ histones ูŠุจู‚ู‰ ู…ู…ูƒู† ุงู„ .. ุงู„ histone
656
+
657
+ 165
658
+ 00:14:16,690 --> 00:14:22,830
659
+ acetal transferase ูŠูŠุฌูŠ ูˆ ูŠุถูŠู acetal group ุนู„ู‰
660
+
661
+ 166
662
+ 00:14:22,830 --> 00:14:28,250
663
+ ุงู„ู„ูŠุฒูŠู†ุฒ ุงู„ุขู†
664
+
665
+ 167
666
+ 00:14:28,250 --> 00:14:32,450
667
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ูŠุฉ ุฅุถุงูุฉ ุงู„ acetal group ู‡ุฐู‡ ุฅูŠุด ู‡ุชุนู…ู„ุŸ
668
+
669
+ 168
670
+ 00:14:33,630 --> 00:14:41,930
671
+ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู…ู† ุงู„ู€ figure ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ figure
672
+
673
+ 169
674
+ 00:14:41,930 --> 00:14:47,270
675
+ ู‡ุฐุง ู‡ูŠ ู‡ู†ุง ุนู†ุฏู†ุง ุงู„ู€ enzyme ู‡ุณุชูˆู† ุฃุณูŠุทุงูŠู„
676
+
677
+ 170
678
+ 00:14:47,270 --> 00:14:52,370
679
+ ุชุฑุงู†ุณููŠุฑูŠู†ุฒ ู„ู…ุง ุจูŠุฌูŠ ู‡ุฐุง ุงู„ enzyme ูˆุจุดุชุบู„ ูˆุจูŠุถูŠู
680
+
681
+ 171
682
+ 00:14:52,370 --> 00:15:00,330
683
+ ุงู„ู€ acetyl groups ุนู„ู‰ ุงู„ู‡ุณุชูˆู† ุชู…ุงู…ุŒ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุฃู†ู‡
684
+
685
+ 172
686
+ 00:15:00,330 --> 00:15:06,280
687
+ ุจุชุบูŠุฑ ุงู„ู€ chromatin structureูˆุจูŠุตูŠุฑ more relaxed
688
+
689
+ 173
690
+ 00:15:06,280 --> 00:15:13,400
691
+ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠู‡ ุงู† ุฏูŠ condensation ู„ู„ูƒุฑู…ุงุชูŠู† ุชู…ุงู…ุŸ
692
+
693
+ 174
694
+ 00:15:13,400 --> 00:15:17,500
695
+ ุจูŠู†ู…ุง ู„ู…ุง ุจูŠุฌูŠ ุจูŠุดุชุบู„ ุงู„ุงู†ุฒูŠู… ุงู„ุขุฎุฑ ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ
696
+
697
+ 175
698
+ 00:15:17,500 --> 00:15:22,920
699
+ acetylase ุจูŠู†ุฒุน ุงู„ acetyl groups ูˆุจุงู„ุชุงู„ูŠ ุจุชุญูˆู„
700
+
701
+ 176
702
+ 00:15:22,920 --> 00:15:28,580
703
+ ุงู„ูƒุฑู…ุงุชูŠู† ุฅู„ู‰ condensed ูƒุฑู…ุงุชูŠู† ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
704
+
705
+ 177
706
+ 00:15:28,580 --> 00:15:34,260
707
+ ุจูŠุนุทูŠู†ูŠุงู„ุชุบูŠูŠุฑ ููŠู‡ ู„ู€ Chromatin Configuration ูŠุนู†ูŠ
708
+
709
+ 178
710
+ 00:15:34,260 --> 00:15:39,600
711
+ ู‡ุงู† ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 11 ู†ุงู†ูˆู…ุชุฑ Fiber ู„ุฃู†ู‡ ู…ุด
712
+
713
+ 179
714
+ 00:15:39,600 --> 00:15:44,700
715
+ condensed ู„ู€ Chromatin ุจูŠู†ู…ุงุงู„ู€ Condensed
716
+
717
+ 180
718
+ 00:15:44,700 --> 00:15:48,780
719
+ Chromatin ุจูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ู€ ุงู„ู€ Chromatin ุฃุณู…ูƒ
720
+
721
+ 181
722
+ 00:15:48,780 --> 00:15:55,520
723
+ ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ 30 ู†ุงู†ูˆู…ุชุฑ Fiber ูˆู‡ุฐุง ูˆุงุถุญ
724
+
725
+ 182
726
+ 00:15:55,520 --> 00:15:58,420
727
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Chromatin Configuration ุฃูˆ Structure
728
+
729
+ 183
730
+ 00:15:58,420 --> 00:16:06,270
731
+ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ุดูƒู„ุงู„ู€ ุงู„ู€ DNA ุงู„ู„ูŠ ู‡ูˆ 2 ู†ุงู†ูˆู…ุชุฑ ุจุนุฏ
732
+
733
+ 184
734
+ 00:16:06,270 --> 00:16:10,670
735
+ ู‡ูŠูƒ ุทุจุนุง ู…ุน ุงู„ู€ histones ูˆ ุงู„ู€ nucleosome ุจู†ุญุตู„
736
+
737
+ 185
738
+ 00:16:10,670 --> 00:16:17,070
739
+ ุนู„ู‰ 10 ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ 11 ู†ุงู†ูˆู…ุชุฑ fiber ูˆ ุจุนุฏูŠู† ู„ู…ุง
740
+
741
+ 186
742
+ 00:16:17,070 --> 00:16:21,210
743
+ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ุนู†ุฏู†ุง condensation ู„ ุงู„ chromatin ุจู†ุญุตู„
744
+
745
+ 187
746
+ 00:16:21,210 --> 00:16:25,430
747
+ ุนู„ู‰ 30 ู†ุงู†ูˆู…ุชุฑ fiber ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ุดูƒู„
748
+
749
+ 188
750
+ 00:16:28,300 --> 00:16:32,140
751
+ ุทุจุนุงู‹ ูŠุนู†ูŠ ุตุนุจ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ู„ู€ Transcription
752
+
753
+ 189
754
+ 00:16:32,140 --> 00:16:34,820
755
+ Factors ูˆ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ุฃุฎุฑู‰ ุฅู†ู‡ ุชุตู„ุฃ ุงู„ู€Genes
756
+
757
+ 190
758
+ 00:16:34,820 --> 00:16:38,400
759
+ ุงู„ู…ุฎุชู„ูุฉ ู„ูƒู† ู„ู…ุง ูŠูƒูˆู† Relaxed ุงู„ูƒุฑูˆู…ุงุชูŠู†ูŠูŠู† ูˆ ูŠูƒูˆู†
760
+
761
+ 191
762
+ 00:16:38,400 --> 00:16:41,260
763
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู„ูŠ ู‡ูˆ Even Nanometer Fiber ุจูŠูƒูˆู†
764
+
765
+ 192
766
+ 00:16:41,260 --> 00:16:46,580
767
+ ุทุจุนุงู‹ ุฃุณู‡ู„ ู„ู€ Transcription Factors ูˆ ุงู„ุจุฑูˆุชูŠู†ุงุช
768
+
769
+ 193
770
+ 00:16:46,580 --> 00:16:49,540
771
+ ุงู„ุฃุฎุฑู‰ ุฅู†ู‡ุง ุชุตู„ุฃ ุงู„ู€Genes ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง
772
+
773
+ 194
774
+ 00:16:49,540 --> 00:16:53,420
775
+ Expression ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑ ููŠ
776
+
777
+ 195
778
+ 00:16:53,420 --> 00:16:58,340
779
+ ุงู„ู€Relaxation ุฃูˆ ุงู„ู€Condensationู‡ูˆ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู€
780
+
781
+ 196
782
+ 00:16:58,340 --> 00:17:02,180
783
+ histone acetyltransferase ุงู„ู„ูŠ ุจูŠุฎู„ู‘ูŠ ุงู„ู€
784
+
785
+ 197
786
+ 00:17:02,180 --> 00:17:05,040
787
+ chromatin more relaxed ุจูŠู†ู…ุง ุงู„ู€ histone
788
+
789
+ 198
790
+ 00:17:05,040 --> 00:17:08,360
791
+ deacetylase ุงู„ู„ูŠ ุจูŠู†ุฒุน ุงู„ู€ acetyl group ุจูŠุฎู„ู‘ูŠ ุงู„
792
+
793
+ 199
794
+ 00:17:08,360 --> 00:17:19,960
795
+ chromatin more condensed ุชู…ุงู…ุŒ
796
+
797
+ 200
798
+ 00:17:19,960 --> 00:17:22,980
799
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡
800
+
801
+ 201
802
+ 00:17:26,010 --> 00:17:34,210
803
+ ุงู„ุฃู† ู…ุง ูŠุญุฏุซ ุจุงู„ุธุจุท ุฃู† ุงู„ู‡ูŠุณุชูˆู† ุฏูŠ ุฃุณูŠุชุงู„ูŠุฒ ูŠุชุฑู…ู‰
804
+
805
+ 202
806
+ 00:17:34,210 --> 00:17:39,230
807
+ ุฃุณูŠุชุงู„ูŠุฌุฑูˆุจ ูˆูŠู‚ูˆู… ุจุฅุนุงุฏุฉ ู…ุคุณุณุฉ ุฃูุถู„ ู„ู€Lysine
808
+
809
+ 203
810
+ 00:17:39,230 --> 00:17:44,530
811
+ Residuous ูŠุจู‚ู‰ ุฃุญู†ุง ู‚ู„ู†ุง ูˆูŠู† ุจูŠุฌูŠุจ ูŠุฑุชุจุท
812
+
813
+ 204
814
+ 00:17:44,530 --> 00:17:50,130
815
+ ุงู„ุฃุณูŠุชุงู„ูŠุฌุฑูˆุจ ุชุฑุชุจุท ูˆูŠู† ููŠ ุนู†ุฏูŠ Lysineุงู„ุขู† ู„ู…ุง
816
+
817
+ 205
818
+ 00:17:50,130 --> 00:17:55,490
819
+ ุชุฃุชูŠ ุงู„ู€ Acetal group ุชุฑุชุจ ู…ุน ุงู„ู„ูŠุฒูŠู† ุงู„ู„ูŠ ู‡ูŠ ููŠู‡
820
+
821
+ 206
822
+ 00:17:55,490 --> 00:17:59,890
823
+ ู…ูˆุฌูˆุฏ ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ู„ูŠุฒูŠู† positive charge ูˆุฒูŠ ู…ุง
824
+
825
+ 207
826
+ 00:17:59,890 --> 00:18:02,270
827
+ ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู† ุงู„ DNA negatively charged ูŠุจู‚ู‰ ุงู„
828
+
829
+ 208
830
+ 00:18:02,270 --> 00:18:05,750
831
+ positive charge ู…ุน ุงู„ negative charge ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ
832
+
833
+ 209
834
+ 00:18:05,750 --> 00:18:10,050
835
+ ุนู„ู‰ ุงู„ DNA ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงุฑุชุจุงุท ูƒูˆูŠุณ
836
+
837
+ 210
838
+ 00:18:10,050 --> 00:18:14,330
839
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„ chromosome more ุฃูˆ ุงู„
840
+
841
+ 211
842
+ 00:18:14,330 --> 00:18:18,730
843
+ chromatin more condensedูˆู„ู…ู‘ุง ุจูŠุฌูŠ ุงู„ู‡ูŠุณุชูˆู† D
844
+
845
+ 212
846
+ 00:18:18,730 --> 00:18:23,130
847
+ ุฃุณูŠุทุงู„ูŠุฒูŠ ุจูŠู†ุฒุน ุงู„ู€ acetyl group ูŠุจู‚ู‰ ุฑุฌุน ุตุงุฑ
848
+
849
+ 213
850
+ 00:18:23,130 --> 00:18:27,890
851
+ ุนู†ุฏู†ุง positive charge ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ lysine ูˆ ุงู„
852
+
853
+ 214
854
+ 00:18:27,890 --> 00:18:30,270
855
+ positive charge ู…ุน ุงู„ negative charge ู„ ุงู„ DNA
856
+
857
+ 215
858
+ 00:18:30,270 --> 00:18:33,990
859
+ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงุฑุชุจุงุท ุจุดูƒู„ ูƒูˆูŠุณ ูˆ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„
860
+
861
+ 216
862
+ 00:18:33,990 --> 00:18:40,490
863
+ chromatin more condensed ุจูŠู†ู…ุง ู„ู…ุง ู†ูŠุฌูŠ ุจู†ุถูŠู ุงู„
864
+
865
+ 217
866
+ 00:18:40,490 --> 00:18:44,900
867
+ acetyl group ุนู„ู‰ุงู„ู€ Lysine ุชู…ุงู… ุงู„ู€ positive
868
+
869
+ 218
870
+ 00:18:44,900 --> 00:18:50,140
871
+ charge ุจุชุจุทู„ ู…ูˆุฌูˆุฏุฉ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ููŠ ุนู†ุง ุงู„ู„ูŠ ู‡ูˆ
872
+
873
+ 219
874
+ 00:18:50,140 --> 00:18:55,620
875
+ more relaxed chromatin ุจุงู„ู€ HDAC removes acetyl
876
+
877
+ 220
878
+ 00:18:55,620 --> 00:18:57,940
879
+ group and restore positive charge to lysine
880
+
881
+ 221
882
+ 00:18:57,940 --> 00:19:01,140
883
+ residues of the histone tails which stabilize
884
+
885
+ 222
886
+ 00:19:01,140 --> 00:19:06,890
887
+ chromatin compaction and higher level packagingู‡ุฐู‡
888
+
889
+ 223
890
+ 00:19:06,890 --> 00:19:10,470
891
+ ุงู„ุชู†ุณูŠู‚ุงุช ู…ู† ุงู„ูƒุฑูˆู…ุงุชูŠู† ุชู‚ุฑุฑ ุงุณุชุฎุฏุงู… ู…ุตุงุฏุฑ
892
+
893
+ 224
894
+ 00:19:10,470 --> 00:19:17,090
895
+ ุงู„ุชู†ุณูŠู‚ุงุช ูˆุชู†ุชู‡ูŠ ููŠ ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช ูƒู…ุง ุงุชูู‚ู†ุงุŒ
896
+
897
+ 225
898
+ 00:19:17,090 --> 00:19:22,410
899
+ ุนู†ุฏู…ุง ูŠูƒูˆู† ู…ุตุงุฏุฑ ุงู„ูƒุฑูˆู…ุงุชูŠู† ุนุงู„ูŠ ุฃูˆ ู…ุฑุชุจุทุŒ ู„ู† ูŠุตู„
900
+
901
+ 226
902
+ 00:19:22,410 --> 00:19:26,070
903
+ ุฅู„ู‰ ู…ุตุงุฏุฑ ุงู„ุชู†ุณูŠู‚ุงุช ุฃูˆ ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ู„ุฌูŠู†ู‡ุŒ
904
+
905
+ 227
906
+ 00:19:26,070 --> 00:19:30,090
907
+ ูˆุจุงู„ุชุงู„ูŠ ุณูŠุญุตู„ ููŠู‡ุง ุฅุบุฑุงุก ุงู„ุชู†ุณูŠู‚ุงุช
908
+
909
+ 228
910
+ 00:19:32,170 --> 00:19:35,370
911
+ ุทุจุนุงู‹ ู…ู† ู†ุงุญูŠุฉ ุฃุฎุฑู‰ ุงู„ู€ Transcriptional Activators
912
+
913
+ 229
914
+ 00:19:35,370 --> 00:19:45,550
915
+ ุฅูŠุด ุจุชุนู…ู„ุŸ Recruit Histone Acetyltransferase ุนุดุงู†
916
+
917
+ 230
918
+ 00:19:45,550 --> 00:19:49,550
919
+ ุชุฑุชุจุท ุงู„ู€ Acetyl group ู…ุน ุงู„ู€ Histone ูˆูŠุชุฎู„ูŠ
920
+
921
+ 231
922
+ 00:19:49,550 --> 00:19:55,570
923
+ ุงู„ูƒุฑูˆู…ุงุชูŠู† more relaxed ูˆุจุงู„ุชุงู„ูŠ ุชู‚ุฏุฑ ุงู„ูˆุงู„ุฏ
924
+
925
+ 232
926
+ 00:19:55,570 --> 00:20:01,990
927
+ Transcription Factors ุชุฑุชุจุท ู…ุน ุงู„ู€ Promotersูˆูƒู…ุซุงู„
928
+
929
+ 233
930
+ 00:20:01,990 --> 00:20:05,230
931
+ ููŠู‡ ุฃู† ุงู„ู€ Retinoplastoma tumor suppressor protein
932
+
933
+ 234
934
+ 00:20:05,230 --> 00:20:10,480
935
+ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุจุชูุตูŠู„ ุฃูƒุชุฑ ู„ู‚ุฏุงู…ูƒูŠู ู‡ุฐูŠ ุจุชุนู…ู„
936
+
937
+ 235
938
+ 00:20:10,480 --> 00:20:17,400
939
+ repression ู„ู„ู€genes ุนู† ุทุฑูŠู‚ Excess Effect in part
940
+
941
+ 236
942
+ 00:20:17,400 --> 00:20:21,940
943
+ by recruiting HDAC ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Histone D-Acetylase
944
+
945
+ 237
946
+ 00:20:21,940 --> 00:20:27,000
947
+ ูŠุจู‚ู‰ ุงู„ู€Retroblastoma ุจูŠุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Histone D
948
+
949
+ 238
950
+ 00:20:27,000 --> 00:20:30,600
951
+ -Acetylase ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ ุนู„ู‰ ู†ุฒุน ุงู„ู€acetyl group
952
+
953
+ 239
954
+ 00:20:30,600 --> 00:20:36,240
955
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ silencing ู„ุจุนุถ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง
956
+
957
+ 240
958
+ 00:20:36,240 --> 00:20:41,730
959
+ ุนู„ุงู‚ุฉ ุจูŠู‡ ู„ู„ู€proliferationุงู„ู€ Figure ู‡ุฐุง ุจูŠูˆุถุญ
960
+
961
+ 241
962
+ 00:20:41,730 --> 00:20:45,750
963
+ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ุงู„ู„ูŠ ุจูŠุชุนู„ู‚ ุจุงู„ู€ positive ูˆ ุงู„ู€
964
+
965
+ 242
966
+ 00:20:45,750 --> 00:20:51,590
967
+ negative it charges ู‡ุงู† ุนู†ุฏู†ุง ุงู„ู€ ุงู„ู€ ุงู„ู‡ุณุชูˆู† ูˆ ุฒูŠ
968
+
969
+ 243
970
+ 00:20:51,590 --> 00:20:55,990
971
+ ู…ุง ู‚ู„ู†ุง ูˆูŠู† ููŠ ุนู†ุฏู†ุง ุงู„ู„ุงูŠุฒูŠู†ูˆุงู„ู„ูŠุฒูŠู† ููŠู‡ ู…ูˆุฌูˆุฏ
972
+
973
+ 244
974
+ 00:20:55,990 --> 00:20:59,910
975
+ ุจูŠูƒูˆู† positive charge ููŠ ุฃู†ู‡ุง ู†ู‚ุงุด 3 ูˆุจุงู„ุชุงู„ูŠ ููŠู‡ุง
976
+
977
+ 245
978
+ 00:20:59,910 --> 00:21:03,050
979
+ positive charge ูˆุงู„ positive charge ู…ุน ุงู„ negative
980
+
981
+ 246
982
+ 00:21:03,050 --> 00:21:06,470
983
+ charge ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ DNA ูŠุจู‚ู‰ ุญูŠุตูŠุฑ ุงุฑุชุจุงุท
984
+
985
+ 247
986
+ 00:21:06,470 --> 00:21:12,290
987
+ ุจุดูƒู„ ูƒูˆูŠุณ ูˆุญูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ packaging ูƒูˆูŠุณ ู„ู„ DNA
988
+
989
+ 248
990
+ 00:21:12,290 --> 00:21:17,720
991
+ ูˆุจุงู„ุชุงู„ูŠ condensation ุชู…ุงู…ุŸูˆุงู„ู„ูŠ ุจูŠุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰
992
+
993
+ 249
994
+ 00:21:17,720 --> 00:21:21,800
995
+ ู‡ุฐุง ุงู„ู€ Chromatin ุงู„ู€ Structure ู‡ูˆ ุงู„ู€
996
+
997
+ 250
998
+ 00:21:21,800 --> 00:21:26,980
999
+ Deacetylation ุทุจุนุงู‹ ุนู† ุทุฑูŠู‚ ุฅู†ุฒุงูŠู… ุงู„ู€ Histone
1000
+
1001
+ 251
1002
+ 00:21:26,980 --> 00:21:32,100
1003
+ Deacetylase ุงู„ู€ Histone Deacetylase ุจูŠู†ุฒุน ุงู„ู€
1004
+
1005
+ 252
1006
+ 00:21:32,100 --> 00:21:35,940
1007
+ Acetyl group ุงู„ู„ูŠ ู…ุฑุชุจุท ุนู„ู‰ ุงู„ู„ูŠุฒูŠู† ูˆ ุจุชุฑุฌุน ุงู„
1008
+
1009
+ 253
1010
+ 00:21:35,940 --> 00:21:38,860
1011
+ positive charge ู„ู„ูŠุฒูŠู† ูˆ ุงู„ู„ูŠ ุจุชุฑุชุจุท ู…ุน ุงู„
1012
+
1013
+ 254
1014
+ 00:21:38,860 --> 00:21:42,000
1015
+ negative charge ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠุนุทูŠู†ูŠ ุงู„ู„ูŠ ู‡ูˆ
1016
+
1017
+ 255
1018
+ 00:21:42,000 --> 00:21:46,830
1019
+ Condensation ู„ู„ู€ ChromatinุจูŠู†ู…ุง ุงู„ู€ Histone
1020
+
1021
+ 256
1022
+ 00:21:46,830 --> 00:21:54,670
1023
+ Acetyltransferase ุจูŠุถูŠู group Acetyl ุนู„ู‰ ุงู„ู„ูŠุฒูŠู†
1024
+
1025
+ 257
1026
+ 00:21:54,670 --> 00:22:00,470
1027
+ ุชู…ุงู…ุŸ ูˆุงู„ุขู† ุงู„ู€ positive charge ุงุฎุชูุช ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง
1028
+
1029
+ 258
1030
+ 00:22:00,470 --> 00:22:05,510
1031
+ ุจูŠุนุทูŠ more relaxation ู„ู€ chromatin
1032
+
1033
+ 259
1034
+ 00:22:13,380 --> 00:22:16,200
1035
+ ุทูŠุจ ู‡ุฐุง ูƒุงู† ุงู„ู…ุซุงู„ ุนู„ู‰ ุงู„ู€ histone modification
1036
+
1037
+ 260
1038
+ 00:22:16,200 --> 00:22:22,640
1039
+ ูˆู‚ู„ู†ุง ู‡ู†ุงุฎุฏ ู…ุซุงู„ ุขุฎุฑ ุนู„ู‰ ุงู„ูˆ ุงู„ DNA ูˆ ู‡ู†ุดูˆู ุงู„ DNA
1040
+
1041
+ 261
1042
+ 00:22:22,640 --> 00:22:28,080
1043
+ methylation DNA methylation is the addition of a
1044
+
1045
+ 262
1046
+ 00:22:28,080 --> 00:22:34,280
1047
+ methyl group to position 5 of cytosineุฌูŠุจ ุชู… ูˆูŠู†
1048
+
1049
+ 263
1050
+ 00:22:34,280 --> 00:22:38,340
1051
+ ููŠ ุนู†ุฏูŠ cytosine ูˆุฒูŠ ู…ุง ุญู†ุดูˆู ููŠู‡ ุฃู†ู‡ ุดุฑุท ู„ูˆูŠู†
1052
+
1053
+ 264
1054
+ 00:22:38,340 --> 00:22:44,100
1055
+ ู‡ุชู†ุถุน ููŠ ุงู„ู€ methyl group ุนู„ู‰ ุงู„ู€ cytosine only
1056
+
1057
+ 265
1058
+ 00:22:44,100 --> 00:22:47,320
1059
+ three to four percent of all cytosines in DNA are
1060
+
1061
+ 266
1062
+ 00:22:47,320 --> 00:22:52,460
1063
+ methylated ู‡ุฐู‡ ู†ุณุจุฉ ุงู„ cytosines ุงู„ู„ูŠ ู…ุฑุชุจุท ู…ุน
1064
+
1065
+ 267
1066
+ 00:22:52,460 --> 00:22:56,480
1067
+ methyl group ุชู„ุงุชุฉ ุฅู„ู‰ ุฃุฑุจุน ุจุงู„ู…ูŠุฉ ู…ู† ุงู„ cytosines
1068
+
1069
+ 268
1070
+ 00:22:56,480 --> 00:23:02,260
1071
+ in DNA are methylatedุงู„ุฃู†ูˆุงู† ู…ู…ูƒู† ุชุตูŠุฑ ููŠู‡ุง ุฃู†
1072
+
1073
+ 269
1074
+ 00:23:02,260 --> 00:23:06,700
1075
+ Methylation ู„ู€Cytosine Methylation only occurs at
1076
+
1077
+ 270
1078
+ 00:23:06,700 --> 00:23:10,120
1079
+ cytosine nucleotides which are situated five prime
1080
+
1081
+ 271
1082
+ 00:23:10,120 --> 00:23:17,840
1083
+ ุชุฌูˆุงู†ูŠู† ุจูŠุนู†ู‰ CG ูˆุจุชู… ุฅุถุงูุฉ ุงู„ู€ Methyl group
1084
+
1085
+ 272
1086
+ 00:23:17,840 --> 00:23:25,720
1087
+ ู„ู€Cytosine ูู‚ุท ุฅุฐุง ูƒุงู† ุงู„ู€Cytosine ู…ูˆุฌูˆุฏุฉ five
1088
+
1089
+ 273
1090
+ 00:23:25,720 --> 00:23:31,500
1091
+ prime ุชุฌูˆุงู†ูŠู† nucleotidesุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญุงู† ู‡ูŠ ุฃู† ุงู„ู€
1092
+
1093
+ 274
1094
+ 00:23:31,500 --> 00:23:36,720
1095
+ five prime ูˆ ู‡ูŠ ุฃู† ุงู„ three prime ุฅุฐุง ูƒุงู† ุงู„ C
1096
+
1097
+ 275
1098
+ 00:23:36,720 --> 00:23:42,660
1099
+ ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ five prime ู„ุฃ ุงู„ G ุทุจุนุง ุฅู†ู‡ CG ู„ูƒู†
1100
+
1101
+ 276
1102
+ 00:23:42,660 --> 00:23:46,400
1103
+ ุงู„ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ five prime ุฅุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู‡
1104
+
1105
+ 277
1106
+ 00:23:46,400 --> 00:23:51,500
1107
+ ุงู„ methylation ูƒุฐู„ูƒ ุงู„ุฃู…ุฑ ู‡ูŠ ุฃู† ู‡ูŠ ุงู„ five prime ูˆ
1108
+
1109
+ 278
1110
+ 00:23:51,500 --> 00:23:57,640
1111
+ ู‡ูŠ ุงู„ three prime ู‡ูŠ ุฃู† ุงู„ C ู…ูˆุฌูˆุฏุฉ ุฌู‡ุฉ ุงู„ fiveุงู„ู€
1112
+
1113
+ 279
1114
+ 00:23:57,640 --> 00:24:02,020
1115
+ prime ู„ู„ุฅุฌูˆุงู†ูŠู† ุจุฌุงู†ุจู‡ุง ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุฃู†ู†ุง ุงู„
1116
+
1117
+ 280
1118
+ 00:24:02,020 --> 00:24:08,660
1119
+ methylation ูˆู‡ูŠ ู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุจูŠูˆุถุญ ูƒูŠู ุงูˆ ุงู„ู„ูŠ ู‡ูˆ
1120
+
1121
+ 281
1122
+ 00:24:08,660 --> 00:24:12,900
1123
+ ุฅ๏ฟฝ๏ฟฝุงูุฉ ู„ ุงู„ methyl group ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจูŠูƒูˆู† ุนู†ุฏู†ุง
1124
+
1125
+ 282
1126
+ 00:24:12,900 --> 00:24:18,000
1127
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ C five prime ู„ ุงู„ G ูŠุนู†ูŠ ุนู„ู‰ ุงู„ strand
1128
+
1129
+ 283
1130
+ 00:24:18,000 --> 00:24:22,600
1131
+ ุงู„ุขุฎุฑ ุงู„ C ู‡ูŠ five prime ู„ ุงู„ G
1132
+
1133
+ 284
1134
+ 00:24:25,730 --> 00:24:30,310
1135
+ ุงู„ู…ุซุงู„ ุงู„ู€ Cytosine ุฏูŠ ุฃู…ูŠู†ุงุช spontaneously ูˆูˆุตู„ูŠ
1136
+
1137
+ 285
1138
+ 00:24:30,310 --> 00:24:37,050
1139
+ ูˆูŠู†ุชู‡ูŠ ููŠ ุชุญูˆูŠู„ C to T ุนู…ู„ูŠุฉ ุงู„ู€ methylation ุงู„ู„ูŠ
1140
+
1141
+ 286
1142
+ 00:24:37,050 --> 00:24:45,170
1143
+ ุจุชุตูŠุฑ ู„ุงู„ู€ Cytosine ู…ู…ูƒู† ุงุชุญูˆู„ู‡ุง ุฅู„ู‰ Thymin
1144
+
1145
+ 287
1146
+ 00:24:46,750 --> 00:24:51,650
1147
+ ู‡ูˆ ุนู…ู„ูŠุฉ ุงู„ู€ methylation ุงู„ู„ูŠ ุจุชุตูŠุฑ ู„ุงู„ู€ cytosine
1148
+
1149
+ 288
1150
+ 00:24:51,650 --> 00:24:59,410
1151
+ ู…ู…ูƒู† ุชุนู…ู„ู„ูŠ transition ุชุญูˆู„ู„ูŠ ุงู„ C ุฅู„ู‰ T ุฒูŠ ู…ุง
1152
+
1153
+ 289
1154
+ 00:24:59,410 --> 00:25:06,270
1155
+ ูˆุงุถุญ ุจูŠู‡ ุงู„ figure ู‡ุงู† ู‡ุงู† ุฃู† ู‡ุงูŠ ู‡ุฐุง ุงู„ุซุงูŠู…ูŠู† ูˆ
1156
+
1157
+ 290
1158
+ 00:25:06,270 --> 00:25:13,330
1159
+ ู‡ุงู† ุฃู†ู‡ุง ุงู„ cytosine ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุซุงูŠู…ูŠู† ูˆ ุจูŠู† ุงู„
1160
+
1161
+ 291
1162
+ 00:25:13,330 --> 00:25:19,720
1163
+ cytosine ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ุฅู†ู‡ ู‡ุงู† ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
1164
+
1165
+ 292
1166
+ 00:25:19,720 --> 00:25:25,620
1167
+ double bond ูˆ ุงู„ู„ูŠ ู‡ูˆ C double bond O ุทุจุนุง ู…ุน
1168
+
1169
+ 293
1170
+ 00:25:25,620 --> 00:25:33,160
1171
+ methyl group ูˆ ู‡ุงู† ุฅู†ู‡ ุทุจุนุง ุจุงู„ .. ุจุงู„cytosine ููŠ
1172
+
1173
+ 294
1174
+ 00:25:33,160 --> 00:25:35,080
1175
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ double bond ุฅุฐุง ูƒุงู† ู…ุง ู‚ุฑู†ู†ุงู‡ุง
1176
+
1177
+ 295
1178
+ 00:25:35,080 --> 00:25:39,700
1179
+ ุจุงู„ุซูŠู…ูŠู† ู‡ุงู† ุฅู†ู‡ ุทุจุนุง double bond O ู‡ุงู† ู…ุด ู…ูˆุฌูˆุฏุฉ
1180
+
1181
+ 296
1182
+ 00:25:39,700 --> 00:25:42,920
1183
+ ููŠ ุนู†ุฏูŠ ู‡ุงู† ู…ูˆุฌูˆุฏ ุงู„ amino group ูˆ ุทุจุนุง ุจุงู„ุซูŠู…ูŠู†
1184
+
1185
+ 297
1186
+ 00:25:42,920 --> 00:25:48,790
1187
+ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ methyl groupูŠุจู‚ู‰ ุงู„ู€ cytosine
1188
+
1189
+ 298
1190
+ 00:25:48,790 --> 00:25:53,330
1191
+ ุฅุฐุง ูƒุงู† ุตุงุฑ ู„ู‡ุง methylation ูˆุงู†ุถุงู ู„ู‡ุง methyl
1192
+
1193
+ 299
1194
+ 00:25:53,330 --> 00:25:57,550
1195
+ group ู…ู…ูƒู† ุงู„ cytosine ูŠุตูŠุฑ ู„ู‡ุง ุจุนุฏ ู‡ูŠูƒ
1196
+
1197
+ 300
1198
+ 00:25:57,550 --> 00:26:03,170
1199
+ deamination ูˆ ุชุชุญูˆู„ ุฅู„ู‰ thymine ูˆ ุงู„ููƒุฑุฉ ู‡ุฐุง ุจูŠูˆุถุญ
1200
+
1201
+ 301
1202
+ 00:26:03,170 --> 00:26:06,990
1203
+ ูƒูŠู ุงู„ู„ูŠ ู‡ูˆ ุงู„ cytosine ู…ู…ูƒู† ุชุชุญูˆู„ ู„ุซู…ูŠู† ูŠู‡ูŠุฃ ุฃู†
1204
+
1205
+ 302
1206
+ 00:26:06,990 --> 00:26:09,910
1207
+ ุงู„ cytosine ุฒูŠ ู…ุง ู‚ู„ู†ุง ู…ู…ูƒู† ูŠุตูŠุฑ ู„ู‡ุง methylation
1208
+
1209
+ 303
1210
+ 00:26:09,910 --> 00:26:15,560
1211
+ ูŠู†ุถู methyl groupุงู„ุขู† ู„ูˆ ุตุงุฑ ููŠู‡ ุฃู†ู‡ ุงู„ู€
1212
+
1213
+ 304
1214
+ 00:26:15,560 --> 00:26:17,960
1215
+ deamination ุตุงุฑ ุฃู†ู‡ ู†ุฒุน ู„ู„ู€ amino group ุงู„ู„ูŠ
1216
+
1217
+ 305
1218
+ 00:26:17,960 --> 00:26:22,940
1219
+ ู…ูˆุฌูˆุฏุฉ ู‡ุงู† ูŠุจู‚ู‰ ุงู„ cytosine ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุจู‡ุฐู‡ ุงู„ุญุงู„ุฉ
1220
+
1221
+ 306
1222
+ 00:26:22,940 --> 00:26:27,020
1223
+ ุงู„ ู…ุซุงู„ ุงู„ cytosine ู‡ุชุชุญูˆู„ ุฅู„ู‰ thymine ูŠุจู‚ู‰ ุงู„
1224
+
1225
+ 307
1226
+ 00:26:27,020 --> 00:26:31,260
1227
+ methylation ู„ู„ cytosine ู…ู…ูƒู† ูŠู†ุชุฌ ุนู†ู‡ ุงู„
1228
+
1229
+ 308
1230
+ 00:26:31,260 --> 00:26:34,960
1231
+ transition ู…ู† cytosine ุฅู„ู‰ thymine
1232
+
1233
+ 309
1234
+ 00:26:46,700 --> 00:26:52,480
1235
+ ุงู„ู€ CG Clusters ุฃูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ CG Islands โ€are
1236
+
1237
+ 310
1238
+ 00:26:52,480 --> 00:26:56,400
1239
+ located in the promoter region โ€of 50% of human
1240
+
1241
+ 311
1242
+ 00:26:56,400 --> 00:27:00,860
1243
+ genes ูŠุนู†ูŠ ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ ุชู„ุงู‚ูˆุง ุฅู†ู‡ ู‡ุฐู‡ ุงู„ู€
1244
+
1245
+ 312
1246
+ 00:27:00,860 --> 00:27:07,520
1247
+ clusters ู…ูˆุฌูˆุฏุฉ ุจู€ 50% ู…ู† ุงู„ู€ human genes ูˆุนู†ุง ู…ู†
1248
+
1249
+ 313
1250
+ 00:27:07,520 --> 00:27:11,220
1251
+ ุงู„ู…ู†ุงุทู‚
1252
+
1253
+ 314
1254
+ 00:27:11,220 --> 00:27:17,430
1255
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠู‡ุง ุงู„ู€ CBG Islandsูˆุงู„ู„ูŠ ููŠ ุตุงุฑ
1256
+
1257
+ 315
1258
+ 00:27:17,430 --> 00:27:21,970
1259
+ methylation ู„ู€ cytosines ููŠ ุงู„ู€ promoter ู„ regions
1260
+
1261
+ 316
1262
+ 00:27:21,970 --> 00:27:26,070
1263
+ ุนู„ู‰ ุงู„ู€ X-chromosome ุงู„ู„ูŠ ู‡ูˆ ุฃู†ุง ุนู†ุฏูŠ inactivated
1264
+
1265
+ 317
1266
+ 00:27:26,070 --> 00:27:32,130
1267
+ genes ุจุงู„ู€ X-chromosome ุฃูˆ ุจุฑุถู‡ ููŠ ุงู„ู€ imprinted
1268
+
1269
+ 318
1270
+ 00:27:32,130 --> 00:27:32,790
1271
+ genes
1272
+
1273
+ 319
1274
+ 00:27:38,960 --> 00:27:41,740
1275
+ ูŠุจู‚ู‰ in general the CG islands found in gene
1276
+
1277
+ 320
1278
+ 00:27:41,740 --> 00:27:46,380
1279
+ promoter regions are not methylated ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู†
1280
+
1281
+ 321
1282
+ 00:27:46,380 --> 00:27:51,150
1283
+ ูŠูƒูˆู† ุนู†ุฏู†ุง ุงู„ gene activeู„ูƒู† ุงู„ู€ methylated
1284
+
1285
+ 322
1286
+ 00:27:51,150 --> 00:27:54,730
1287
+ cytosines are found mainly in repetitive sequences
1288
+
1289
+ 323
1290
+ 00:27:54,730 --> 00:27:57,990
1291
+ and in the CG islands found in the promoter region
1292
+
1293
+ 324
1294
+ 00:27:57,990 --> 00:28:02,190
1295
+ of repressed genes ูŠุจู‚ู‰ ุงู„ุฌูŠู† ุฅุฐุง ูƒุงู† ุจูŠุณู„ู‡ูˆุด
1296
+
1297
+ 325
1298
+ 00:28:02,190 --> 00:28:05,590
1299
+ exception ุจูŠูƒูˆู† ููŠู‡ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ CG islands
1300
+
1301
+ 326
1302
+ 00:28:05,590 --> 00:28:09,250
1303
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ promoter ุจุชูƒูˆู† methylated ูˆุจุงู„ุชุงู„ูŠ
1304
+
1305
+ 327
1306
+ 00:28:09,250 --> 00:28:12,910
1307
+ ู‡ุฐุง ุจูŠุนู…ู„ู„ูŠ silencing ู„ู„ุฌูŠู†
1308
+
1309
+ 328
1310
+ 00:28:14,600 --> 00:28:18,660
1311
+ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุงุชุŒ ุงู„ู…ูŠุซุงู„ูŠุดู† ู‡ูˆ ุฅุดุงุฑุฉ ู…ุณู…ูˆุญูŠุฉ ู…ุฑุชุจุทุฉ
1312
+
1313
+ 329
1314
+ 00:28:18,660 --> 00:28:25,100
1315
+ ู…ุน ุฃุณู„ุญุฉ ูƒูˆู…ุจุงูƒุชูŠู†ูŠุฉ ูƒุฑูˆู…ุงุชูŠู†ูŠุฉ ูˆู…ุญุงูุธุฉ ุนู„ู‰ ุฅุบู„ุงู‚
1316
+
1317
+ 330
1318
+ 00:28:25,100 --> 00:28:25,580
1319
+ ุงู„ุฌูŠู†
1320
+
1321
+ 331
1322
+ 00:28:28,340 --> 00:28:33,840
1323
+ ูˆูƒู…ุงู† ู‡ุฐุง ู…ุฑุชุจุท ุฃูŠุถู‹ุง ุจู€ chromatin structure ุจูŠูƒูˆู†
1324
+
1325
+ 332
1326
+ 00:28:33,840 --> 00:28:37,740
1327
+ ุจุฑุถู‡ ู„ู†ุง ุงู„ู€ chromatin structure ุงู„ู„ูŠ ู‡ูˆ more
1328
+
1329
+ 333
1330
+ 00:28:37,740 --> 00:28:42,680
1331
+ compact ูˆุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู†ู‡ ู„ู†ุง ุงู„ modifications
1332
+
1333
+ 334
1334
+ 00:28:42,680 --> 00:28:47,000
1335
+ enzymes ู‡ุฐู‡ ุจุชุดุชุบู„ ู…ุน ุจุนุถู‡ุง ุงู„ุจุนุถ ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู
1336
+
1337
+ 335
1338
+ 00:28:47,000 --> 00:28:52,600
1339
+ ูƒู…ุงู† ุดูˆูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงู„ enzymes
1340
+
1341
+ 336
1342
+ 00:28:52,600 --> 00:28:57,980
1343
+ called DNA methyl transferases DNMT
1344
+
1345
+ 337
1346
+ 00:29:00,370 --> 00:29:05,590
1347
+ ู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุนู…ู„ ุนู„ู‰ ู†ู‚ู„ ุงู„ู„ูŠ ู‡ูˆ ู…ุซุงูŠู„ ุฌุฑูˆุจ Mediate
1348
+
1349
+ 338
1350
+ 00:29:05,590 --> 00:29:09,150
1351
+ the covalent addition of a methyl group from the
1352
+
1353
+ 339
1354
+ 00:29:09,150 --> 00:29:14,510
1355
+ methyl carrier S-adenosylmethonine ุงู„ู„ูŠ ููŠู‡ ุฃู†ู‡ุง
1356
+
1357
+ 340
1358
+ 00:29:14,510 --> 00:29:20,690
1359
+ ุฃู†ุฒูŠู… ูˆููŠู‡ ุฃู† ุงู„ูƒุงุฑูŠูŠุฑ ู„ุงู„ู…ุซุงูŠู„ ุฌุฑูˆุจ ุงู„ุงู†ุฒูŠู… ุงู„ู„ูŠ
1360
+
1361
+ 341
1362
+ 00:29:20,690 --> 00:29:24,490
1363
+ ู‡ูˆ ุงู„ DNA methyl transferaseุจูŠุงุฎุฏ ุงู„ู€ methyl group
1364
+
1365
+ 342
1366
+ 00:29:24,490 --> 00:29:28,270
1367
+ ู…ู† ุงู„ูƒุงุฑูŠุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ S-Adenosyl Methionine
1368
+
1369
+ 343
1370
+ 00:29:28,270 --> 00:29:35,210
1371
+ ูˆุจูŠุถูŠูู‡ุง ู„ู€ Cytosine It has been suggested that
1372
+
1373
+ 344
1374
+ 00:29:35,210 --> 00:29:37,890
1375
+ the mechanism by which methylation results in
1376
+
1377
+ 345
1378
+ 00:29:37,890 --> 00:29:42,830
1379
+ silencing is by recruiting methyl binding domain
1380
+
1381
+ 346
1382
+ 00:29:42,830 --> 00:29:47,710
1383
+ proteins which have been shown to interact with
1384
+
1385
+ 347
1386
+ 00:29:47,710 --> 00:29:53,490
1387
+ histone deacetylaseุฃู†ุฏูŠูƒุฑูˆู…ุชูŠู† ุฑูŠู…ูˆุฏูŠู„ูŠู†ุฌ ุฅู†ุฒุงูŠู…
1388
+
1389
+ 348
1390
+ 00:29:53,490 --> 00:29:57,490
1391
+ ุชู…ุงู… ุจุฌู‡ุฏ ุจุฑุถู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ุงู„ุงู†ุฒูŠู…ุงุช ุงู„ู€
1392
+
1393
+ 349
1394
+ 00:29:57,490 --> 00:30:03,150
1395
+ epigenetic ุงู„ู„ูŠ ู‡ูˆ remodeling enzymes ุจุชุดุชู…ุน ุจุนุถู‡ุง
1396
+
1397
+ 350
1398
+ 00:30:03,150 --> 00:30:07,340
1399
+ ุงู„ุจุนุถ ุจู‡ูŠุฆุฉ ุฅู†ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA methyltransferase
1400
+
1401
+ 351
1402
+ 00:30:07,340 --> 00:30:10,760
1403
+ ุงู„ู„ูŠ ุจูŠู‚ูˆู„ ุงู„ู„ูŠ ู‡ูˆ methyl group ููŠ ุนู†ุฏู†ุง ุจูŠุตูŠุฑ ุงู„ู€
1404
+
1405
+ 352
1406
+ 00:30:10,760 --> 00:30:14,680
1407
+ recruiting ู„ุงู„ู…ูŠุซุงู„ ุงู„ู„ูŠ ู‡ูˆ binding domain
1408
+
1409
+ 353
1410
+ 00:30:14,680 --> 00:30:18,460
1411
+ ุงู„ุจุฑูˆุชูŠู† ูˆ ุงู„ู„ูŠ ุจุชุฌูŠุจ ุนู†ุฏู†ุง ุฃูˆ ุจุชุนู…ู„ interaction
1412
+
1413
+ 354
1414
+ 00:30:18,460 --> 00:30:22,000
1415
+ ู…ุน ุงู„ู‡ุณุชูˆู† ุฏูŠ ุฃุณูŠุทูŠู„ุงุฒ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ุฃู† ุงู„ู†ุฒู„
1416
+
1417
+ 355
1418
+ 00:30:22,000 --> 00:30:26,620
1419
+ ู„ุฃุณูŠุทูŠู„ group ูˆุจุงู„ุชุงู„ูŠ ุงู„ chromatin ุจูŠุตูŠุฑ more
1420
+
1421
+ 356
1422
+ 00:30:26,620 --> 00:30:30,240
1423
+ compact ูŠุจู‚ู‰ ุงู„ methylation ูƒู…ุงู† ูˆุฒูŠ ู…ุง ุชู‚ูˆู„ ุญูƒูŠู†ุง
1424
+
1425
+ 357
1426
+ 00:30:30,240 --> 00:30:34,620
1427
+ ู‚ุจู„ ุดูˆูŠุฉ ุจูŠุฎู„ูŠ ุนู†ุฏ ุงู„ chromatin more compact
1428
+
1429
+ 358
1430
+ 00:30:36,300 --> 00:30:41,920
1431
+ ุจุงู„ุชุงู„ูŠุŒ ุฅุฏุงุฑุฉ ุฃุจูŠุฌูŠู†ูŠุฉ ุงู„ุชุฑุงู†ุณูŠุจ ูŠุญุชุงุฌ ุฅู„ู‰ ู…ู†ุงู‚ุดุฉ
1432
+
1433
+ 359
1434
+ 00:30:41,920 --> 00:30:48,080
1435
+ ุจูŠู† ู…ูŠุซุงูŠู„ุงุชูŠู† ูˆูƒุฑูˆู…ุงุชูŠู† ู„ุชุตู…ูŠู… ุงู„ุงู†ุฒูŠุงู… ูˆุญุตุงู†ุงุช
1436
+
1437
+ 360
1438
+ 00:30:48,080 --> 00:30:53,180
1439
+ ู‡ุณุชูˆู† ุชู…ุงู…ุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู‡ู†ุงูƒ ู…ู†ุงู‚ุดุฉ ุจูŠู† ู‡ุฐู‡
1440
+
1441
+ 361
1442
+ 00:30:53,180 --> 00:30:56,220
1443
+ ุงู„ุฃู†ุฒูŠุงู…
1444
+
1445
+ 362
1446
+ 00:30:56,220 --> 00:30:58,000
1447
+ ุงู„ู…ุฎุชู„ูุฉ
1448
+
1449
+ 363
1450
+ 00:31:01,850 --> 00:31:07,250
1451
+ ูŠุจู‚ู‰ ูˆ ุงู„ููƒุฑุฉ ู‡ุฐุง ุจูŠูˆุถุญ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅุฐุง ูƒุงู† ุงู„ู„ูŠ ู‡ูˆ
1452
+
1453
+ 364
1454
+ 00:31:07,250 --> 00:31:12,850
1455
+ ุจุงู„ู†ุงุญูŠุฉ ุงู„ุนู„ูŠุง ุฅุฐุง ุตุงุฑ ููŠู†ุง ุงู„ู„ูŠ ู‡ูˆ methylation
1456
+
1457
+ 365
1458
+ 00:31:13,680 --> 00:31:20,120
1459
+ ู„ู„ู€ DNA ุงู„ู„ูŠ ู‡ูˆ ุนู† ุทุฑูŠู‚ ุงู„ู€ DMT1 ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ุฐุง
1460
+
1461
+ 366
1462
+ 00:31:20,120 --> 00:31:25,580
1463
+ ุจูŠุนู…ู„ recruitment ู„ู€ histone-d-acetylase ูˆุจุงู„ุชุงู„ูŠ
1464
+
1465
+ 367
1466
+ 00:31:25,580 --> 00:31:28,980
1467
+ ู†ุฒุน ู„ู‚ู‰ ุงู„ู€ acetyl group ูˆุจุงู„ุชุงู„ูŠ ุจูŠุฎู„ูŠ ุงู„ู„ูŠ ู‡ูˆ
1468
+
1469
+ 368
1470
+ 00:31:28,980 --> 00:31:32,580
1471
+ ุงู„ู€ chromatin more compact ูˆุจุงู„ุชุงู„ูŠ silent
1472
+
1473
+ 369
1474
+ 00:31:32,580 --> 00:31:38,800
1475
+ chromatin ุจูŠู†ู…ุงูˆูˆุฌูˆุฏ ุทุจุนุง ููŠ ุนุฏู… ูˆุฌูˆุฏ ุงู„ู€
1476
+
1477
+ 370
1478
+ 00:31:38,800 --> 00:31:44,780
1479
+ methylation ูˆููŠ ูˆุฌูˆุฏ ุงู„ู€ histone acetyltransferase
1480
+
1481
+ 371
1482
+ 00:31:44,780 --> 00:31:49,920
1483
+ ุจูŠุชู… ุฅุถุงูุฉ ุงู„ู€ acetyl group ู„ู€ ุงู„ู€ histones ูˆู‡ุฐุง
1484
+
1485
+ 372
1486
+ 00:31:49,920 --> 00:31:53,740
1487
+ ุจูŠุฎู„ูŠ ุงู„ู€ chromatin ุทุจุนุง more relaxed ูˆุจูŠุนู…ู„
1488
+
1489
+ 373
1490
+ 00:31:53,740 --> 00:31:57,120
1491
+ recruitment ู„ู€ transcription factors ูˆ ู„ู€ RNA
1492
+
1493
+ 374
1494
+ 00:31:57,120 --> 00:32:01,140
1495
+ polymerase ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ูŠุนุชุจุฑ active chromatin
1496
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/D1PG6H7tgD4.srt ADDED
@@ -0,0 +1,1414 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,600 --> 00:00:08,520
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุจุฏุฃ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฃูˆู„ู‰ ูˆู‡ูŠ
4
+
5
+ 2
6
+ 00:00:08,520 --> 00:00:13,100
7
+ ุจุนู†ูˆุงู† introduction ูˆุงู„ู„ูŠ ู‡ู†ุชุทุฑู‚ ููŠู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:13,100 --> 00:00:20,120
11
+ ู„ู„ู†ู‚ุงุท ุงู„ุชุงู„ูŠุฉ ุจุฏุงูŠุฉ ู‡ู†ุญูƒูŠ ุนู† ุงู„ู€ statistics ุนุงู„ู…ูŠุง
12
+
13
+ 4
14
+ 00:00:20,120 --> 00:00:25,440
15
+ ูˆุนู„ู‰ ู…ุณุชูˆู‰ ู‚ุทุงุน ุบุฒุฉ ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ููŠู‡ุง
16
+
17
+ 5
18
+ 00:00:25,440 --> 00:00:31,720
19
+ ู‡ูŠ ุงู„ู€ hallmarks of cancerุŒ ูˆุงู„ู†ู‚ุทุฉ ุงู„ุซุงู„ุซุฉ cancer is
20
+
21
+ 6
22
+ 00:00:31,720 --> 00:00:36,440
23
+ a disease of the genomeุŒ ูˆุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ
24
+
25
+ 7
26
+ 00:00:36,440 --> 00:00:40,040
27
+ influential factors in human carcinogenesis
28
+
29
+ 8
30
+ 00:00:40,040 --> 00:00:46,780
31
+ ุงู„ุนูˆุงู…ู„ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุงุนุฏ ููŠ ุญุฏูˆุซ cancer
32
+
33
+ 9
34
+ 00:00:46,780 --> 00:00:54,320
35
+ ู†ุจุฏุฃ ุจุงู„ุฅุญุตุงุฆูŠุงุช cancer
36
+
37
+ 10
38
+ 00:00:54,320 --> 00:01:01,330
39
+ is a major cause of mortality andุงู„ุนู†ุตุฑ ู‡ูˆ ู…ุตุงุฏุฑ
40
+
41
+ 11
42
+ 00:01:01,330 --> 00:01:08,770
43
+ ุนุงู…ุฉ ู„ู„ุนู†ุตุฑูŠุฉ ูˆุงู„ู…ูˆุชู‰. ูˆููŠ ุงู„ุนุงู… 2018 ุญุณุจ
44
+
45
+ 12
46
+ 00:01:08,770 --> 00:01:14,070
47
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุชู‚ุฑูŠุจุง 18 ู…ู„ูŠูˆู† ุญุงู„ุฉ ุฌุฏูŠุฏุฉ ู…ู†
48
+
49
+ 13
50
+ 00:01:14,070 --> 00:01:24,490
51
+ ุงู„ุณุฑุทุงู† ูƒุงู†ุช ู…ูˆุงุฌู‡ุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุนุฏุฏ ูˆููŠุงุช ุชู‚ุฑูŠุจุง
52
+
53
+ 14
54
+ 00:01:24,490 --> 00:01:27,130
55
+ ุชุณุนุฉ ูˆู†ุต ู…ู„ูŠูˆู† ุดุฎุต.
56
+
57
+ 15
58
+ 00:01:29,420 --> 00:01:36,180
59
+ ุทุจุนุง ุงู„ู€ cancer ู…ุด ู…ู‚ุชุตุฑ ุญุฏูˆุฏู‡ ุนู„ู‰ ุจู„ุฏ ู…ุนูŠู†ุŒ ูŠุจู‚ู‰
60
+
61
+ 16
62
+ 00:01:36,180 --> 00:01:39,620
63
+ affecting populations in all countries and all
64
+
65
+ 17
66
+ 00:01:39,620 --> 00:01:46,860
67
+ regions.ูˆุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ incidence ูˆ mortality ู„ูƒู„
68
+
69
+ 18
70
+ 00:01:46,860 --> 00:01:53,700
71
+ 100 ุฃู„ู ุดุฎุตุŒ ุชู‚ุฑูŠุจุง ุฃู† 182 ุงู„ู€ incidence rate ู„ูƒู„
72
+
73
+ 19
74
+ 00:01:53,700 --> 00:01:59,740
75
+ 100 ุฃู„ู ุดุฎุตุŒ ูˆ ุงู„ู€ mortality rate 102 ู„ูƒู„ 100 ุฃู„ู
76
+
77
+ 20
78
+ 00:01:59,740 --> 00:02:03,640
79
+ ุดุฎุตุŒ ู†ุญูƒูŠ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู….
80
+
81
+ 21
82
+ 00:02:10,180 --> 00:02:14,360
83
+ ูˆุทุจุนุง ุงู„ุฃุนุฏุงุฏ ููŠ ุชุฒุงูŠุฏุŒ ุณูˆุงุก ุจู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
84
+
85
+ 22
86
+ 00:02:14,360 --> 00:02:17,660
87
+ incidence rate ุฃูˆ ุนู„ู‰ ุงู„ู€ mortality rateุŒ ูŠุนู†ูŠ ู„ูˆ
88
+
89
+ 23
90
+ 00:02:17,660 --> 00:02:24,140
91
+ ุฌูŠู†ุง ู‚ุงุฑู†ู†ุง ุจูŠู† ุงู„ุนุงู… 2012 ูˆ2018ุŒ ุจู†ู„ุงู‚ูŠ ุฃู†ู‡ ููŠ
92
+
93
+ 24
94
+ 00:02:24,140 --> 00:02:28,670
95
+ ุงู„ุนุงู… 2012 ูƒุงู† ุนุฏุฏ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุฃุตูŠุจูˆุง ุจุงู„ู€ Cancer 14
96
+
97
+ 25
98
+ 00:02:28,670 --> 00:02:35,550
99
+ ู…ู„ูŠูˆู†ุŒ ูˆุงุฑุชูุน ุฅู„ู‰ 18 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018. ูˆุฃูŠุถุง ุจู…ุง
100
+
101
+ 26
102
+ 00:02:35,550 --> 00:02:40,870
103
+ ูŠุชุนู„ู‚ ุจุงู„ู€ Mortality Rate ูˆุนุฏุฏ ุงู„ูˆููŠุงุช ููŠ 2012 ูƒุงู†
104
+
105
+ 27
106
+ 00:02:40,870 --> 00:02:49,850
107
+ 8 ู…ู„ูŠูˆู†ุŒ ูˆุงุฑุชูุน ุฅู„ู‰ 9.5 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018. ุฅุฐุง
108
+
109
+ 28
110
+ 00:02:49,850 --> 00:02:56,500
111
+ ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ุฃุนุฏุงุฏ ู„ู€ New Cases ูˆุชูˆุฒูŠุนู‡ุง ุนู„ู‰
112
+
113
+ 29
114
+ 00:02:56,500 --> 00:03:01,000
115
+ ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู€ CancerุŒ ุทุจุนุงู‹ ุจูŠุดู…ู„ ุงู„ู€ both
116
+
117
+ 30
118
+ 00:03:01,000 --> 00:03:08,220
119
+ sexes ูˆ All ages. ุฅู† ุงู„ู€ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
120
+
121
+ 31
122
+ 00:03:08,220 --> 00:03:13,800
123
+ ุงู„ุฃูˆู„ู‰ุŒ ูˆุจูŠุดูƒู„ ุชู‚ุฑูŠุจุง 12% ู…ู† ุงู„ุญุงู„ุงุช ุงู„ูƒู„ูŠุฉ ู„ู€
124
+
125
+ 32
126
+ 00:03:13,800 --> 00:03:19,760
127
+ Cancer. ูˆุงู„ู€ breast cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉุŒ ูˆ
128
+
129
+ 33
130
+ 00:03:19,760 --> 00:03:28,160
131
+ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุจู†ูุณ ุงู„ู†ุณุจุฉุŒ ูŠุนู†ูŠ ุจุงู„ุนุฏุฏ ุฃู‚ู„ ุจู‚ู„ูŠู„ ู…ู†
132
+
133
+ 34
134
+ 00:03:28,160 --> 00:03:31,740
135
+ ุงู„ู€ lung cancerุŒ ูˆุจุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู„ุซุฉ ุจูŠุฌูŠ ุนู†ุฏู†ุง ุงู„ู€
136
+
137
+ 35
138
+ 00:03:31,740 --> 00:03:36,740
139
+ colorectal cancerุŒ ุจุชู‚ุฑูŠุจุง ุชู…ุซู„ ุนุดุฑุฉ ุจุงู„ู…ูŠุฉ ู…ู†
140
+
141
+ 36
142
+ 00:03:36,740 --> 00:03:40,680
143
+ ุงู„ุญุงู„ุงุช. ุจู…ุง
144
+
145
+ 37
146
+ 00:03:40,680 --> 00:03:46,400
147
+ ูŠุชุนู„ู‚ ุจุนุฏุฏ ุงู„ูˆููŠุงุชุŒ ุนู†ุง ุงู„ู€ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
148
+
149
+ 38
150
+ 00:03:46,400 --> 00:03:52,680
151
+ ุงู„ุฃูˆู„ู‰ุŒ ู…ุณุจุจ ุงู„ุฃูˆู„ ู„ู„ูˆููŠุงุช ุจุณุจุจ ุงู„ู€ cancerุŒ ูˆุนุฏุฏ
152
+
153
+ 39
154
+ 00:03:52,680 --> 00:03:58,440
155
+ ุงู„ูˆููŠุงุช ุจุณุจุจ ุงู„ู€ lung cancer ุชู‚ุฑูŠุจุง 18.4%ุŒ ูˆ
156
+
157
+ 40
158
+ 00:03:58,440 --> 00:04:03,710
159
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉ ุจูŠุฌูŠ ุนู†ุฏู†ุง ุงู„ู€ colonRectum ุฃูˆ ุงู„ู€ Co
160
+
161
+ 41
162
+ 00:04:03,710 --> 00:04:10,210
163
+ -rectal cancer ุจู†ุณุจุฉ 9.2%.ุงู„ุซุงู„ุซ ุงู„ู€ StomachุŒ ูˆ
164
+
165
+ 42
166
+ 00:04:10,210 --> 00:04:16,830
167
+ ุงู„ุฑุงุจุน ุนู†ุฏู†ุง ุงู„ู€ liverุŒ ูˆุงู„ู€ breast cancer ุจูŠุฌูŠ
168
+
169
+ 43
170
+ 00:04:16,830 --> 00:04:23,930
171
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ ุจู†ุณุจุฉ ุชู‚ุฑูŠุจุง 6.6%. ูŠุจู‚ู‰ ู‡ุฐู‡
172
+
173
+ 44
174
+ 00:04:23,930 --> 00:04:28,830
175
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุนุงู„ู…ูŠุงุŒ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…. ู„ูˆ ุฌูŠู†ุง ู†ุญูƒูŠ
176
+
177
+ 45
178
+ 00:04:28,830 --> 00:04:36,670
179
+ ุจุดูƒู„ ุฎุงุต ุนู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉุŒ ูˆุจู†ุงุก ุนู„ู‰ ุชู‚ุฑูŠุฑ ุชู…
180
+
181
+ 46
182
+ 00:04:36,670 --> 00:04:41,510
183
+ ุฅุนุฏุงุฏู‡ ููŠ ุงู„ุนุงู… 2016ุŒ Cancer Incidence in the Gaza
184
+
185
+ 47
186
+ 00:04:41,510 --> 00:04:48,990
187
+ Strip Facts and Figures 2015 to 2016ุŒ ุฃู† ุงู„ู€Table
188
+
189
+ 48
190
+ 00:04:48,990 --> 00:04:54,990
191
+ ุงู„ุฃูˆู„ ูŠู…ุซู„ ุงู„ู€ incidence rate ู„ูƒู„ 100 ุฃู„ู ุดุฎุตุŒ ูˆุฒูŠ
192
+
193
+ 49
194
+ 00:04:54,990 --> 00:05:03,470
195
+ ู…ุง ุฅุญู†ุง ุดุงูŠููŠู†ุŒ ุฃู† ุงู„ุนุฏุฏ ุงู„ุญุงู„ุงุช ุงู„ู…ูƒุชุดูุฉ ูุนู„ูŠุง ููŠ
196
+
197
+ 50
198
+ 00:05:03,470 --> 00:05:07,730
199
+ ุชุฒุงูŠุฏุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ incidence rate ุนู†ุฏู†ุง ููŠ ุชุฒุงูŠุฏ
200
+
201
+ 51
202
+ 00:05:07,730 --> 00:05:15,070
203
+ ูˆูˆุตู„ ุฅู„ู‰ 89 ุญุงู„ุฉ ู„ูƒู„ 100 ุฃู„ู ู†ุณู…ุฉ ููŠ ุงู„ุนุงู… 2016.
204
+
205
+ 52
206
+ 00:05:15,070 --> 00:05:18,430
207
+ ุทุจุนู‹ุง
208
+
209
+ 53
210
+ 00:05:18,430 --> 00:05:23,000
211
+ ุงู„ุฃูƒุซุฑ ุฅุตุงุจุฉุŒ ูŠุนู†ูŠ ู‡ุฐุง ุนุฏุฏ ุงู„ุฅุตุงุจุงุช ุญุณุจ ุงู„ู„ูŠ ู‡ูˆ
212
+
213
+ 54
214
+ 00:05:23,000 --> 00:05:28,980
215
+ ุงู„ูุฆุฉ ุงู„ุนู…ุฑูŠุฉุŒ ูˆุฅู† ุทุจุนุง ูƒู„ ู…ุง ุชู‚ุฏู… ุงู„ุฅู†ุณุงู† ุจุงู„ุณู†ุŒ ูƒู„
216
+
217
+ 55
218
+ 00:05:28,980 --> 00:05:35,040
219
+ ู…ุง ูƒุงู†ุช ูุฑุตุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุตุงุจุฉ ุจุงู„ู€ cancer ุทุจุนุง ุจุชุฒูŠุฏ.
220
+
221
+ 56
222
+ 00:05:37,670 --> 00:05:40,490
223
+ ุฅุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ most common types of cancer
224
+
225
+ 57
226
+ 00:05:40,490 --> 00:05:44,030
227
+ among Gaza populationุŒ ุญุณุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฏุฑุงุณุฉ ุฒูŠ ู…ุง
228
+
229
+ 58
230
+ 00:05:44,030 --> 00:05:49,330
231
+ ู‚ู„ู†ุง ุงู„ู„ูŠ ุชู…ุช ุจูŠู† ุงู„ุนุงู… 2015 ูˆ 2016ุŒ ุฅู† ุงู„ู€ breast
232
+
233
+ 59
234
+ 00:05:49,330 --> 00:05:56,320
235
+ cancer ุจูŠุญุชู„ ุงู„ู…ุฑุชุจุฉ ุงู„ุฃูˆู„ู‰ุŒ ูˆุงู„ู€ colon rectal
236
+
237
+ 60
238
+ 00:05:56,320 --> 00:05:59,800
239
+ cancer ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉุŒ ุงู„ู€ leukemia ูˆุงู„ู€
240
+
241
+ 61
242
+ 00:05:59,800 --> 00:06:02,940
243
+ lymphoma ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู„ุซุฉ ูˆุงู„ุฑุงุจุนุฉุŒ ูˆุงู„ู€ lung
244
+
245
+ 62
246
+ 00:06:02,940 --> 00:06:08,260
247
+ cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ. ูˆุจู…ุง ูŠุชุนู„ู‚
248
+
249
+ 63
250
+ 00:06:08,260 --> 00:06:11,820
251
+ ุจุงู„ูˆููŠุงุช
252
+
253
+ 64
254
+ 00:06:11,820 --> 00:06:17,560
255
+ ุจุณุจุจ ุงู„ู€ cancerุŒ ุฃู† ุงู„ู€ lung ุงู„ุณุจุจ ุงู„ุฃูˆู„ุŒ ุงู„ู€ colon
256
+
257
+ 65
258
+ 00:06:17,560 --> 00:06:21,820
259
+ ุงู„ุซุงู†ูŠุŒ ูˆุงู„ู€ breast ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุซุงู„ุซุฉ.
260
+
261
+ 66
262
+ 00:06:24,110 --> 00:06:29,170
263
+ ุฃูŠุถุง ูƒุงู† ููŠู†ุง ุชู‚ุฑูŠุฑ ุณุงุจู‚ ู„ู„ุณุฑุทุงู† ููŠ ู‚ุทุงุน ุบุฒุฉ
264
+
265
+ 67
266
+ 00:06:29,170 --> 00:06:35,710
267
+ ูˆุงู„ู„ูŠ ุดู…ู„ ุงู„ุฃุนูˆุงู… ู…ู† 2009 ุฅู„ู‰ 2014. ูˆููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
268
+
269
+ 68
270
+ 00:06:35,710 --> 00:06:42,010
271
+ ูŠุนู†ูŠ ุจูŠู‘ู† ูƒูŠู ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ู‚ุงุฑู†ุฉ ุจุงู„ุจู„ุฏุงู†
272
+
273
+ 69
274
+ 00:06:42,010 --> 00:06:48,230
275
+ ุงู„ู…ุฌุงูˆุฑุฉ. ูˆุงู„ู€ graph ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ incidence
276
+
277
+ 70
278
+ 00:06:48,230 --> 00:06:52,940
279
+ rateุŒ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€
280
+
281
+ 71
282
+ 00:06:52,940 --> 00:06:57,520
283
+ incidence rate ู„ู€ 149 ู„ูƒู„ 100 ุฃู„ู. ูˆุทุจุนุง ูŠุนู†ูŠ ุฒูŠ ู…ุง
284
+
285
+ 72
286
+ 00:06:57,520 --> 00:07:00,680
287
+ ุฃู‚ูˆู„ุŒ ููŠ ุงู„ุจู„ุฏุงู† ุงู„ุฃุฎุฑู‰ ููŠ ุฃู† ุจู„ุงุฏ ุงู„ู€ incidence
288
+
289
+ 73
290
+ 00:07:00,680 --> 00:07:04,260
291
+ rate ุฃุนู„ู‰ ู…ู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉุŒ ู„ูƒู† ุจุฑุถู‡ ุจุงู„ู…ู‚ุงุจู„
292
+
293
+ 74
294
+ 00:07:04,260 --> 00:07:09,460
295
+ ููŠ ุฃู† ุจุนุถ ุงู„ุจู„ุงุฏ ุงู„ู€ incidence rate ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุงู„ู€
296
+
297
+ 75
298
+ 00:07:09,460 --> 00:07:11,100
299
+ incidence rate ููŠ ู‚ุทุงุน ุบุฒุฉ.
300
+
301
+ 76
302
+ 00:07:14,930 --> 00:07:18,550
303
+ ุงู„ุขู†ุŒ ุฅุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ incidence rate ุจุฑุถู‡ุŒ ูˆ
304
+
305
+ 77
306
+ 00:07:18,550 --> 00:07:24,550
307
+ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€ females ูู‚ุทุŒ ุขู‡ ูŠุนู†ูŠ
308
+
309
+ 78
310
+ 00:07:24,550 --> 00:07:29,550
311
+ ุจุชู„ุงู‚ูŠ ุฃู†ู‡ ุตุงุฑุช ุงู„ู„ูŠ ู‡ูˆ ุบุฒุฉ ููŠ ู…ูˆู‚ุน ุดูˆูŠุฉ ู…ุชู‚ุฏู… ุจู…ุง
312
+
313
+ 79
314
+ 00:07:29,550 --> 00:07:37,530
315
+ ูŠุชุนู„ู‚ ุจุงู„ู€ incidence rate ููŠ ุงู„ู€ females ูู‚ุท. ุทูŠุจ
316
+
317
+ 80
318
+ 00:07:37,530 --> 00:07:43,980
319
+ ู‡ุฐู‡ ูƒุงู†ุช ูŠุนู†ูŠ ู…ู‚ุฏู…ุฉ ุจุณูŠุทุฉ ุนู† ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ ุจุชุชุนู„ู‚
320
+
321
+ 81
322
+ 00:07:43,980 --> 00:07:49,560
323
+ ุจุงู„ุณุฑุทุงู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…ุŒ ูˆู‡ูŠ ุฃูŠุถุง ููŠ ู‚ุทุงุน ุบุฒุฉ
324
+
325
+ 82
326
+ 00:07:49,560 --> 00:07:54,640
327
+ ุจุดูƒู„ ุฎุงุต. understand
328
+
329
+ 83
330
+ 00:07:54,640 --> 00:08:00,860
331
+ the disease effective therapiesุŒ ุนุดุงู† ูุนู„ูŠุง ู†ูƒูˆู†
332
+
333
+ 84
334
+ 00:08:00,860 --> 00:08:09,540
335
+ ู‚ุงุฏุฑูŠู† ุนู„ู‰ ุฅูŠุฌุงุฏ ุนู„ุงุฌ ู„ู„ุณุฑุทุงู†ุŒ ู„ุงุฒู… ุจุฏุงูŠุฉ ูŠุชู… ูู‡ู…
336
+
337
+ 85
338
+ 00:08:09,540 --> 00:08:16,620
339
+ ุงู„ู…ุฑุถ ูŠุนู†ูŠ ุจุดูƒู„ ุตุญูŠุญ ูˆุจุดูƒู„ ุนู…ูŠู‚. there is a need to
340
+
341
+ 86
342
+ 00:08:16,620 --> 00:08:19,840
343
+ understand the disease and to translate our
344
+
345
+ 87
346
+ 00:08:19,840 --> 00:08:23,700
347
+ knowledge into effective therapies. ู„ุฃู† ุฅุฐุง ูƒุงู†
348
+
349
+ 88
350
+ 00:08:23,700 --> 00:08:26,800
351
+ ุฅุญู†ุง ู…ุง ุนุฑูู†ุงุด ุงู„ู…ุฑุถ ุจุดูƒู„ ุตุญูŠุญุŒ ู…ุง ุนุฑูู†ุงุด ุงู„ู€
352
+
353
+ 89
354
+ 00:08:26,800 --> 00:08:32,160
355
+ molecular mechanisms ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุชูƒูˆู† ุฅู† ุงู„ู€
356
+
357
+ 90
358
+ 00:08:32,160 --> 00:08:38,500
359
+ cancerุŒ ูŠุจู‚ู‰ ุนุดุงู† ุฅู†ู†ุง ู†ุญุงุฑุจ ุงู„ู€ cancer ู‡ูŠูƒูˆู† ุงู„ุฃู…ุฑ ุตุนุจ.
360
+
361
+ 91
362
+ 00:08:38,500 --> 00:08:43,060
363
+ In order to understand the process of
364
+
365
+ 92
366
+ 00:08:43,060 --> 00:08:45,700
367
+ carcinogenesis whereby a normal cell is
368
+
369
+ 93
370
+ 00:08:45,700 --> 00:08:49,540
371
+ transformed into a cancer cell, we must know the
372
+
373
+ 94
374
+ 00:08:49,540 --> 00:08:53,300
375
+ details of cell function and the molecular
376
+
377
+ 95
378
+ 00:08:53,300 --> 00:08:58,570
379
+ pathways that underlie it. ู…ุนุฑูุฉ ุงู„ุชูุงุตูŠู„
380
+
381
+ 96
382
+ 00:08:58,570 --> 00:09:03,150
383
+ ุงู„ู…ูˆู„ูŠูƒูˆู„ูŠุฉ ููŠ ุทุฑู‚ูŠู† ู…ู‡ู…ุฉ ูˆุจูŠูˆูƒูŠู…ูŠุงุฆูŠุฉ ูŠู…ูƒู†
384
+
385
+ 97
386
+ 00:09:03,150 --> 00:09:07,070
387
+ ุชุทุจูŠู‚ู‡ุง ู„ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ู„ุนู„ุงุฌ ุงู„ุณุฑุทุงู†. ูˆู‡ุฐุง ุงู„ูู‡ู…
388
+
389
+ 98
390
+ 00:09:07,070 --> 00:09:15,430
391
+ ู‡ูˆ ูุนู„ูŠุง ุงู„ู„ูŠ ู…ู…ูƒู† ูŠู‚ูˆุฏ ุฅู„ู‰ ูŠุนู†ูŠ ุนู„ุงุฌุงุช ุฌุฏูŠุฏุฉุŒ ูˆ
392
+
393
+ 99
394
+ 00:09:15,430 --> 00:09:24,680
395
+ ุงู„ู„ูŠ ุชูƒูˆู† safe ูˆ effective. ุทูŠุจ ู„ูˆ ุฌูŠู†ุง ุญูƒูŠู†ุง ูƒุชุนุฑูŠู
396
+
397
+ 100
398
+ 00:09:24,680 --> 00:09:28,380
399
+ ู„ู€ CancerุŒ Cancer is a group of diseases
400
+
401
+ 101
402
+ 00:09:28,380 --> 00:09:33,500
403
+ characterized by unregulated cell growth. ูŠุนู†ูŠ ููŠู‡
404
+
405
+ 102
406
+ 00:09:33,500 --> 00:09:39,740
407
+ ุนุฏู… ุงู„ุชุญูƒู… ููŠ ุงู„ู€ proliferation ู„ู„ุฎู„ุงูŠุงุŒ ุจุงู„ุฅุถุงูุฉ
408
+
409
+ 103
410
+ 00:09:39,740 --> 00:09:44,220
411
+ ุฅู„ู‰ ุงู„ู€ invasion ุงู„ู„ูŠ ุจุชู‚ูˆู… ููŠู‡ ุงู„ู€ cancer cellsุŒ ูˆุงู„ู„ูŠ
412
+
413
+ 104
414
+ 00:09:44,220 --> 00:09:54,760
415
+ ุจุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ ู…ู† ุงู„ู€ primary site ุฅู„ู‰ ุฃู…ุงูƒู† ุฃุฎุฑู‰ุŒ ูˆ
416
+
417
+ 105
418
+ 00:09:54,760 --> 00:09:57,380
419
+ ุงู„ู„ูŠ ุจูŠุณู…ู‰ ุจู‡ ุงู„ู€ metastasis.
420
+
421
+ 106
422
+ 00:09:59,890 --> 00:10:03,590
423
+ ุงู„ุณุฑุทุงู† ูŠุนุชุจุฑ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃู…ุฑุงุถุŒ ูˆุฅุญู†ุง ุจุงู„ู…ุฌู…ู„
424
+
425
+ 107
426
+ 00:10:03,590 --> 00:10:07,710
427
+ ุจู†ู‚ูˆู„ cancerุŒ ู„ูƒู† ู‡ูˆ ูุนู„ูŠุง ู…ุด ู…ุฑุถ ูˆุงุญุฏุŒ ูŠุนู†ูŠ ุฃู†ู‡
428
+
429
+ 108
430
+ 00:10:07,710 --> 00:10:13,510
431
+ ู„ุบุงูŠุฉ ุงู„ุขู† ุชู‚ุฑูŠุจุง over 200 types of cancer have
432
+
433
+ 109
434
+ 00:10:13,510 --> 00:10:17,510
435
+ been classified. ูˆู‡ู†ุง ููŠู‡ linkุŒ ู„ูˆ ุถุบุทูˆุง ุนู„ู‰ ุงู„ู€ link
436
+
437
+ 110
438
+ 00:10:17,510 --> 00:10:22,890
439
+ ู‡ุฐุงุŒ ู‡ูŠุงุฎุฏูƒูˆุง ุนู„ู‰ ุตูุญุฉ ู…ู…ูƒู† ุชุดูˆููˆุง ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
440
+
441
+ 111
442
+ 00:10:22,890 --> 00:10:25,890
443
+ ู…ู† ุงู„ู€ cancer ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ.
444
+
445
+ 112
446
+ 00:10:28,470 --> 00:10:30,710
447
+ The tissue of origin gives the distinguishing
448
+
449
+ 113
450
+ 00:10:30,710 --> 00:10:34,890
451
+ characteristics of the cancer. ูŠุจู‚ู‰ ุนู†ุฏู†ุง 200 ู†ูˆุน
452
+
453
+ 114
454
+ 00:10:34,890 --> 00:10:41,090
455
+ ุฃูˆ ุฃูƒุซุฑ ู…ู† 200 ู†ูˆุน ู…ู† ุงู„ู€ cancerุŒ ูˆุนู†ุฏู†ุง ุงู„ุฃู†ูˆุงุน
456
+
457
+ 115
458
+ 00:10:41,090 --> 00:10:47,490
459
+ ุงู„ู…ุฎุชู„ูุฉ ุจุชู…ูŠุฒู‡ุง ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ. ูŠุจู‚ู‰ ุนู†ุฏู†ุง ูƒู„ ู†ูˆุน ู…ู†
460
+
461
+ 116
462
+ 00:10:47,490 --> 00:10:53,310
463
+ ุฃู†ูˆุงุน ุงู„ู€ cancer ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ ุนู† ุงู„ู†ูˆุน
464
+
465
+ 117
466
+ 00:10:53,310 --> 00:10:58,900
467
+ ุงู„ุฃุฎุฑ. ุงู„ู€ major types of cancer ู…ู…ูƒู† ู†ู‚ุณู…ู‡ุง ุฅู„ู‰
468
+
469
+ 118
470
+ 00:10:58,900 --> 00:11:04,560
471
+ ุซู„ุงุซ ุฃู‚ุณุงู…: ุฅู† ุงู„ู€ carcinomas, sarcomasุŒ ูˆุงู„ู€
472
+
473
+ 119
474
+ 00:11:04,560 --> 00:11:10,600
475
+ hematopoietic cancers. ุงู„ู„ูŠ ุจูŠู…ุซู„ ู†ุณุจุฉ ุงู„ุฃูƒุจุฑ ู…ู†
476
+
477
+ 120
478
+ 00:11:10,600 --> 00:11:14,260
479
+ ุงู„ุฃู†ูˆุงุน ู‡ูˆ ุงู„ู€ carcinomaุŒ ูˆุงู„ู„ูŠ ุจูŠู…ุซู„ 85% of
480
+
481
+ 121
482
+ 00:11:14,260 --> 00:11:19,590
483
+ cancers occur in epithelial cells. ูˆุนู†ุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
484
+
485
+ 122
486
+ 00:11:19,590 --> 00:11:23,290
487
+ ู‡ูˆ ุงู„ู€ cancers ุงู„ู„ูŠ ุจุชุตูŠุจ ุงู„ู€ skinุŒ ุฃูˆ ุจุชุตูŠุจ ุงู„ู€
488
+
489
+ 123
490
+ 00:11:23,290 --> 00:11:27,290
491
+ covering and lining of organs and internal
492
+
493
+ 124
494
+ 00:11:27,290 --> 00:11:30,610
495
+ passageways. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ liningุŒ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ lining
496
+
497
+ 125
498
+ 00:11:30,610 --> 00:11:35,710
499
+ ู…ุซู„ุง ู„ู„ู€ gastrointestinal tractุŒ ุฃูˆ ู„ู„ูŠู‡ ุงู„ู…ู…ุฑุงุช
500
+
501
+ 126
502
+ 00:11:35,710 --> 00:11:42,690
503
+ ุงู„ู‡ูˆุงุฆูŠุฉ ููŠ ุงู„ุฑุฆุชูŠู†. ุงู„ู†ูˆุน ุงู„ุซุงู†ูŠ Sarcomas derived
504
+
505
+ 127
506
+ 00:11:42,690 --> 00:11:48,000
507
+ from mesoderm cellsุŒ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bone ูˆุงู„ู€
508
+
509
+ 128
510
+ 00:11:48,000 --> 00:11:53,000
511
+ musclesุŒ ูˆุจูŠู…ุซู„ ุชู‚ุฑูŠุจุง 2%. ูŠุจู‚ู‰ originates in
512
+
513
+ 129
514
+ 00:11:53,000 --> 00:11:56,220
515
+ supportive and connective tissue. ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง
516
+
517
+ 130
518
+ 00:11:56,220 --> 00:12:00,140
519
+ ุฃู…ุซู„ุฉ ุงู„ู€ bonesุŒ ูˆุงู„ู€ tendonsุŒ ูˆุงู„ู€ cartilageุŒ ูˆุงู„ู€
520
+
521
+ 131
522
+ 00:12:00,140 --> 00:12:04,930
523
+ muscle. ูˆุงู„ู†ูˆุน ุงู„ุซุงู„ุซ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ HematopoieticุŒ ุนู†ุฏู†ุง
524
+
525
+ 132
526
+ 00:12:04,930 --> 00:12:09,570
527
+ ุงู„ู„ูˆูƒูŠู…ูŠุงุŒ ุงู„ู„ูŠ ุจุชู…ุซู„ ุชู‚ุฑูŠุจุง ุฎู…ุณุฉ ุจุงู„ู…ูŠุฉุŒ ูˆุงู„ู„ูŠ
528
+
529
+ 133
530
+ 00:12:09,570 --> 00:12:14,430
531
+ ุจุชุตูŠุจ ุงู„ู€ body's blood forming tissues. ูˆุนู†ุฏู†ุง
532
+
533
+ 134
534
+ 00:12:14,430 --> 00:12:19,190
535
+ ุงู„ู„ูŠู…ููˆู…ุฉุŒ ุชู‚ุฑูŠุจุง ุฃุฑุจุนุฉ ุจุงู„ู…ูŠุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ cancer of
536
+
537
+ 135
538
+ 00:12:19,190 --> 00:12:24,530
539
+ lymphoid tissue. ุฒูŠ
540
+
541
+ 136
542
+ 00:12:24,530 --> 00:12:28,150
543
+ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉุŒ ุฃู† ุงู„ู€ cancers of different
544
+
545
+ 137
546
+ 00:12:28,150 --> 00:12:33,820
547
+ origins have distinct features. ูŠุนู†ูŠ ุญุณุจ ู†ูˆุน ุงู„ู€
548
+
549
+ 138
550
+ 00:12:33,820 --> 00:12:39,100
551
+ Primary Site ู„ู„ู€ CancerุŒ ููŠู‡ ุฎุตุงุฆุต ู…ู…ูŠุฒุฉ ู„ู‡ุง.
552
+
553
+ 139
554
+ 00:12:43,580 --> 00:12:47,300
555
+ ุฅู† ุงู„ู€ skin cancer has many characteristics that
556
+
557
+ 140
558
+ 00:12:47,300 --> 00:12:53,040
559
+ differ from lung cancer. ูŠุจู‚ู‰ ุงู„ุฎุตุงุฆุต ูุนู„ูŠุง ู…ุฎุชู„ูุฉ
560
+
561
+ 141
562
+ 00:12:53,040 --> 00:12:57,900
563
+ ู„ู„ู€ skin cancer ุนู† ุงู„ู€ lung cancer. The major factor
564
+
565
+ 142
566
+ 00:12:57,900 --> 00:13:00,260
567
+ that causes cancer in each target tissue is
568
+
569
+ 143
570
+ 00:13:00,260 --> 00:13:04,260
571
+ different. ูŠุจู‚ู‰ ุงู„ู…ุณุจุจ ูƒู…ุงู† ู…ุฎุชู„ู. ูŠุนู†ูŠ ุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ
572
+
573
+ 144
574
+ 00:13:04,260 --> 00:13:08,280
575
+ ุนู† ู…ู…ูƒู† ุงู„ู…ุณุจุจ ู„ู„ู€ skin cancerุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€
576
+
577
+ 145
578
+ 00:13:08,280 --> 00:13:15,180
579
+ ultraviolet radiation from the sun. ุจูŠู†ู…ุง ุจุงู„ู†ุณุจุฉ
580
+
581
+ 146
582
+ 00:13:15,180 --> 00:13:19,260
583
+ ู„ู„ู…ุณุจุจ ุงู„ุฃุณุงุณูŠ ุงู„ู„ูŠ ู„ู„ู€ lung cancerุŒ inhalation of
584
+
585
+ 147
586
+ 00:13:19,260 --> 00:13:23,320
587
+ cigarette smokeุŒ ุฃูˆ ู…ู…ูƒู† ูŠุนู†ูŠ ุงู„ู€ carcinogenic
588
+
589
+ 148
590
+ 00:13:23,320 --> 00:13:30,410
591
+ chemicals ุงู„ุฃุฎุฑู‰ ุงู„ู…ุฎุชู„ูุฉ. ุฃูŠุถุงุŒ ู„ู…ุง ุจู†ูŠุฌูŠ ู†ุญูƒูŠ ุนู„ู‰
592
+
593
+ 149
594
+ 00:13:30,410 --> 00:13:35,830
595
+ ุงู„ุงุฎุชู„ุงูุงุช ููŠ ุงู„ู€ molecular mechanismsุŒ ูˆุงู„ู€ molecular
596
+
597
+ 150
598
+ 00:13:35,830 --> 00:13:41,130
599
+ mechanisms ุงู„ู„ูŠ ุฃุฏุช ุฅู„ู‰ ุญุฏูˆุซ ุงู„ู€ CancerุŒ ูˆุงู„ู€
600
+
601
+ 151
602
+ 00:13:41,130 --> 00:13:45,770
603
+ spreadุŒ ุจุฑุถู‡ ููŠ ู‡ู†ุง ุฅู† ู‡ู†ุงูƒ ุงุฎุชู„ุงูุงุช ุจู…ุง ูŠุชุนู„ู‚
604
+
605
+ 152
606
+ 00:13:45,770 --> 00:13:49,570
607
+ ุจู‡ุฐูˆู„ ุงู„ุนู…ู„ูŠุชูŠู†ุŒ ุณูˆุงุก ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ mechanisms ู„ู„ู€
608
+
609
+ 153
610
+ 00:13:49,570 --> 00:13:54,250
611
+ carcinogenesisุŒ ุฃูˆ ุงู„ู€ metastasesุŒ ุฃูˆ ุงู„ู€ spread ู„ู„ู€
612
+
613
+ 154
614
+ 00:13:54,250 --> 00:14:00,010
615
+ other sites. ูˆุจุงู„ุชุงู„ูŠุŒ ู…ุง ุฒุงู„ ุงู„ู€ molecular mechanism
616
+
617
+ 155
618
+ 00:14:00,010 --> 00:14:05,790
619
+ ู…ุฎุชู„ูุฉ. ูŠุจู‚ู‰ ูƒู…ุงู† ู„ู„ู€ treatment ูˆุงุณุชู‡ุฏุงู ุงู„ู€ cancers
620
+
621
+ 156
622
+ 00:14:05,790 --> 00:14:19,590
623
+ ุงู„ู…ุฎุชู„ูุฉุŒ ู…ู…ูƒู† ุจูŠุชุทู„ุจ ุงุณุชุฑุงุชูŠุฌูŠุงุช ู…ุฎุชู„ูุฉ. ุทูŠุจุŒ
624
+
625
+ 157
626
+ 00:14:19,590 --> 00:14:23,190
627
+ ุนู†ุฏู†ุง ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ the hallmarks of
628
+
629
+ 158
630
+ 00:14:23,190 --> 00:14:24,770
631
+ cancer.
632
+
633
+ 159
634
+ 00:14:28,000 --> 00:14:29,300
635
+ ุจุงู„ุชุงู„ูŠุŒ ุญุชู‰ ู„ูˆ ุฃุณุงุณูŠุงุช ุงู„ุฃุณุงุณุงุช ุงู„ุฎู„ูˆูŠุฉ
636
+
637
+ 160
638
+ 00:14:29,300 --> 00:14:34,840
639
+ ูˆุงู„ู…ูˆู„ูŠูƒูˆู„ูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ู…ุฎุชู„ูุฉุŒ ู†ุชูŠุฌุฉ ุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ
640
+
641
+ 161
642
+ 00:14:34,840 --> 00:14:40,180
643
+ ู†ูุณู‡ุง. ูŠุจู‚ู‰ ุฃู†ู†ุง ุงุชูู‚ู†ุง ุฃู† ุงู„ู€ mechanisms ู…ู…ูƒู†
644
+
645
+ 162
646
+ 00:14:40,180 --> 00:14:43,960
647
+ ุงู„ู„ูŠ ู‡ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ ุงู„ู€ cancerุŒ ุงู„ู€ mechanisms
648
+
649
+ 163
650
+ 00:14:43,960 --> 00:14:53,280
651
+ ู…ุฎุชู„ูุฉุŒ ู„ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ุงู„ู†ุชูŠุฌุฉ ู„ู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ
652
+
653
+ 164
654
+ 00:14:53,280 --> 00:15:01,330
655
+ ู†ุชูŠุฌุฉ ูˆุงุญุฏุฉ. ูˆู‡ุฐุง ุงู„ู€ figure ุจูŠูˆุถุญ ู„ู†ุง ุงู„ู€ hallmarks of
656
+
657
+ 165
658
+ 00:15:01,330 --> 00:15:10,210
659
+ cancer. ู„ุฏูŠู†ุง ุงู„ุฎุงุตูŠุฉ ุงู„ุฃูˆู„ู‰ Growth Signal
660
+
661
+ 166
662
+ 00:15:10,210 --> 00:15:15,550
663
+ Autonomy. ู‡ุฏูˆู„ ู‡ู†ุฐูƒุฑู‡ู… ู„ุฃู†ู†ุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ู… ุงู„ุขู†
664
+
665
+ 167
666
+ 00:15:15,550 --> 00:15:21,650
667
+ ุจุงู„ุชูุตูŠู„ ุดูˆูŠุฉ. ูŠุจู‚ู‰ Growth Signal AutonomyุŒ Invasion of
668
+
669
+ 168
670
+ 00:15:21,650 --> 00:15:27,680
671
+ Growth Inhibitory Signals. ููŠ ุนู†ุฏู†ุง Invasion of
672
+
673
+ 169
674
+ 00:15:27,680 --> 00:15:32,500
675
+ cell deathุŒ Unlimited replicative potentialุŒ
676
+
677
+ 170
678
+ 00:15:32,500 --> 00:15:40,180
679
+ AngiogenesisุŒ ูˆ Invasion and metastasis. ูˆู‡ุฏูˆู„ ู…ู…ูƒู†
680
+
681
+ 171
682
+ 00:15:40,180 --> 00:15:46,360
683
+ ู†ุณู…ูŠู‡ู… ุฃูŠุถุง essential for carcinogenesis. ุจูŠุฏูˆู„
684
+
685
+ 172
686
+ 00:15:46,360 --> 00:15:52,260
687
+ ุฎุตุงุฆุต ู…ู‡ู…ุฉ ู„ุชูƒูˆูŠู† ุฃูŠ CancerุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุตุงุฆุต ุงู„ุณุชุฉ
688
+
689
+ 173
690
+ 00:15:52,260 --> 00:15:59,210
691
+ ู‡ุฏูˆู„. ุงู„ุขู† ููŠ ุนู†ุฏู†ุง ุฎุงุตูŠุชูŠู† ุชุงู†ูŠุชูŠู†ุŒ ู‡ุฏูˆู„ ู…ู…ูƒู† ู†ุณู…ูŠู‡ู…
692
+
693
+ 174
694
+ 00:15:59,210 --> 00:16:03,810
695
+ enabling characteristicsุŒ ูˆ enabling
696
+
697
+ 175
698
+ 00:16:03,810 --> 00:16:11,590
699
+ characteristicsุŒ ูŠุนู†ูŠ ุฎุตุงุฆุต ุชู…ูƒูŠู†ูŠุฉ. it enable the
700
+
701
+ 176
702
+ 00:16:11,590 --> 00:16:19,210
703
+ hallmarks to happen. ุนุดุงู† ุชุญุตู„ ุงู„ู€ 6 hallmarks ู‡ุฏูˆู„
704
+
705
+ 177
706
+ 00:16:19,210 --> 00:16:28,340
707
+ ุจุฏุงูŠุฉ ู„ุงุจุฏ ู…ู† ุญุตูˆู„ ู‡ุฏูˆู„ ุงู„ู€ hallmarks. ุนุงู‚ุจุฉ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
708
+
709
+ 178
710
+ 00:16:28,340 --> 00:16:33,260
711
+ enabling characteristicsุŒ ุงู„ู„ูŠ ุชุนุชุจุฑ ุญุงุณู…ุฉ ู„ุงูƒุชุณุงุจ
712
+
713
+ 179
714
+ 00:16:33,260 --> 00:16:39,540
715
+ ุงู„ุณู…ุงุช ุงู„ู…ู…ูŠุฒุฉ ุงู„ุณุช ู„ู„ุณุฑุทุงู†. ููŠ ุนู†ุฏู†ุง ู…ูŠุฒุชูŠู†
716
+
717
+ 180
718
+ 00:16:39,540 --> 00:16:46,940
719
+ ุชุงู†ูŠุชูŠู† ุงู„ู„ูŠ ุจูŠุทู„ู‚ ุนู„ูŠู‡ู…ุง emerging hallmarks. ูˆุนู†ุฏ
720
+
721
+ 223
722
+ 00:20:06,320 --> 00:20:12,940
723
+ ุจุชุญุชุงุฌ ุฅู„ู‰ ุทุงู‚ุฉ ุจุดูƒู„ ูƒุจูŠุฑ ุนุดุงู† ุชุณุชู…ุฑ ุฃูˆ ุชุณุชู…ุฑ
724
+
725
+ 224
726
+ 00:20:12,940 --> 00:20:18,570
727
+ ุงู„ุฎู„ุงูŠุง ุจู€proliferation ูˆุงู„ุณุฑุทุงู† ุจูŠุญุตู„ ุนู„ู‰
728
+
729
+ 225
730
+ 00:20:18,570 --> 00:20:23,110
731
+ ุงู„ุทุงู‚ุฉ ุญุชู‰ ููŠ ูˆุฌูˆุฏ Hypoxia ูŠุจู‚ู‰ ุญุชู‰ ููŠ ูˆุฌูˆุฏ ู†ู‚ุต ููŠ
732
+
733
+ 226
734
+ 00:20:23,110 --> 00:20:29,050
735
+ ุงู„ุฃูƒุณุฌูŠู† ู…ู…ูƒู† ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุชุญุตู„ ุนู„ู‰ ุงู„ุทุงู‚ุฉ ูˆ
736
+
737
+ 227
738
+ 00:20:29,050 --> 00:20:32,950
739
+ ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู…ู† ุฎู„ุงู„ ุทุจุนุง ุงู„ุชุญู„ู„ ุงู„ุณูƒุฑูŠ ุงู„ู„ุงู‡ูˆุงุฆูŠ anaerobic glycosis
740
+
741
+ 228
742
+ 00:20:32,950 --> 00:20:37,890
743
+ ุตุญูŠุญ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ู‡ุชุญุตู„ ุนู„ูŠู‡ุง ู‚ู„ูŠู„ุฉ ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ
744
+
745
+ 229
746
+ 00:20:37,890 --> 00:20:43,190
747
+ ุจุชุณุชุฎุฏู…ู‡ุง ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ู„ู„ุญุตูˆู„ ุฃูŠุถุง ุฃูˆ ูŠุนู†ูŠ
748
+
749
+ 230
750
+ 00:20:43,190 --> 00:20:45,430
751
+ ูƒู…ุตุฏุฑ ู„ู„ุทุงู‚ุฉ
752
+
753
+ 231
754
+ 00:20:47,770 --> 00:20:53,450
755
+ ูŠุจู‚ู‰ ุงู„ุณุฑุทุงู† ุจูŠุญุชุงุฌ ุฅู„ู‰ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู†
756
+
757
+ 232
758
+ 00:20:53,450 --> 00:21:04,450
759
+ ุงู„ุฌู„ูˆูƒูˆุฒ ูˆู‡ุฐู‡ ุงู„ุฎุงุตูŠุฉ ุณู…ุญุช ุจู€ ูŠุนู†ูŠ ุชูƒูˆูŠู† ุทุฑูŠู‚ุฉ
760
+
761
+ 233
762
+ 00:21:04,450 --> 00:21:11,150
763
+ ู…ู…ูƒู† ู„ุงูƒุชุดุงู ูŠุนู†ูŠ ุฃู…ุงูƒู† ุชูˆุงุฌุฏ ุงู„ุณุฑุทุงู† ุงู„ู„ูŠ ูŠุชุณู…ู‰
764
+
765
+ 234
766
+ 00:21:11,480 --> 00:21:16,240
767
+ Positron emission tomography scan for cancer ูˆ
768
+
769
+ 235
770
+ 00:21:16,240 --> 00:21:19,960
771
+ ุงู„ู„ูŠ ุจูŠูุนุทู‰ ููŠู‡ุง ุงู„ู…ุฑูŠุถ ุฌู„ูˆูƒูˆุฒ ู…ูุนู„ู‘ู… ุจูŠุตูŠุฑ
772
+
773
+ 236
774
+ 00:21:19,960 --> 00:21:24,840
775
+ ุญู‚ู†ุฉlabelled glucose ููŠ ุงู„ุฌุณู… ูˆุทุจุนุง ู‡ุฐุง
776
+
777
+ 237
778
+ 00:21:24,840 --> 00:21:27,980
779
+ ุงู„ุฌู„ูˆูƒูˆุฒ ูˆูŠู† ู‡ูŠุชุฌู…ุน ุจูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูˆูŠู†
780
+
781
+ 238
782
+ 00:21:27,980 --> 00:21:31,620
783
+ ููŠู‡ ุนู†ุฏูŠ ุณุฑุทุงู† ู„ุฃู† ุงู„ุณุฑุทุงู† ุจูŠุญุชุงุฌ ู„ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ
784
+
785
+ 239
786
+ 00:21:31,620 --> 00:21:38,410
787
+ ู…ู† ุงู„ุฌู„ูˆูƒูˆุฒ ูˆุจุงู„ุชุงู„ูŠ ู…ู† ุฎู„ุงู„ ุงู„ุชุตูˆูŠุฑ ุงู„ุทุจู‚ูŠ ุงู„ุจูˆุฒูŠุชุฑูˆู†ูŠ Tomography Scan
788
+
789
+ 240
790
+ 00:21:38,410 --> 00:21:43,950
791
+ ู…ู…ูƒู† ูŠุชู… ุชุญุฏูŠุฏ ู…ูƒุงู† ุงู„ุชุฌู…ุน ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู†
792
+
793
+ 241
794
+ 00:21:43,950 --> 00:21:49,970
795
+ ุงู„ุฌู„ูˆูƒูˆุฒ ูˆุจุงู„ุชุงู„ูŠ ู…ูƒุงู† ุงู„ุณุฑุทุงู† ุฃูŠุถู‹ุง ู…ู† ุงู„ู€
796
+
797
+ 242
798
+ 00:21:49,970 --> 00:21:54,770
799
+ Emerging Hallmarks ููŠ ุนู†ุฏู†ุง ุงู„ู€ Avoiding Immune
800
+
801
+ 243
802
+ 00:21:54,770 --> 00:22:03,160
803
+ Destruction ูƒูŠู ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุจุชุชุฌู†ุจ ุฃู† ุชู
804
+
805
+ 244
806
+ 00:22:03,160 --> 00:22:08,300
807
+ ุงู„ุชุนุฑู ุนู„ูŠู‡ุง ูˆ ุชูุฏู…ู‘ุฑ ู…ู† ุฎู„ุงู„ ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ
808
+
809
+ 245
810
+ 00:22:08,300 --> 00:22:13,720
811
+ ู„ุฃู†ู‡ ุฃุณุงุณุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง ุฃูŠ ุชุบูŠุฑ ููŠ ุฎู„ูŠุฉ
812
+
813
+ 246
814
+ 00:22:13,720 --> 00:22:18,160
815
+ ุงู„ู…ูุฑูˆุถ ุฃู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ ูŠุชุนุฑู ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆ
816
+
817
+ 247
818
+ 00:22:18,160 --> 00:22:23,480
819
+ ูŠุนู…ู„ ุนู„ู‰ ุชุฏู…ูŠุฑู‡ุง ูŠุจู‚ู‰ ูƒูŠู ู…ู…ูƒู† ูŠุตูŠุฑ ููŠู‡ ุฃู†ู†ุง
820
+
821
+ 248
822
+ 00:22:23,480 --> 00:22:27,280
823
+ ู†ุชุฌู†ุจ Avoiding ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€immune
824
+
825
+ 249
826
+ 00:22:27,280 --> 00:22:31,820
827
+ destruction ู‡ุฐู‡ ุชุนุชุจุฑ ู…ู† ุงู„ู€ emerging hallmarks ูˆุฒูŠ
828
+
829
+ 250
830
+ 00:22:31,820 --> 00:22:37,600
831
+ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ุจุชุญุชุงุฌ more research ุทูŠุจุŒ ู‡ู†ุญูƒูŠ ุงู„ุขู†
832
+
833
+ 251
834
+ 00:22:37,600 --> 00:22:44,460
835
+ ุนู„ู‰ ุงู„ู€ hallmarks ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุชุฉ ูŠุนู†ูŠ ุจุชูุตูŠู„ ุดูˆูŠุฉ ูˆ
836
+
837
+ 252
838
+ 00:22:44,460 --> 00:22:50,950
839
+ ู‡ู†ุจุฏุฃ ุจู€ Growth Signal Autonomy ุทูŠุจุŒ ุงู„ุขู† ุจุดูƒู„
840
+
841
+ 253
842
+ 00:22:50,950 --> 00:22:58,250
843
+ ุทุจูŠุนูŠ ูˆุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง ุงู†ู‚ุณุงู… ู„ู„ุฎู„ูŠุฉ ู„ุงุจุฏ ู…ู†
844
+
845
+ 254
846
+ 00:22:58,250 --> 00:23:04,670
847
+ ุงุฑุชุจุงุท ุนุงู…ู„ ุงู„ู†ู…ูˆ Growth Factor ุจู…ุณุชู‚ุจู„ Receptor ู…ูˆุฌูˆุฏ ุนู„ู‰ ุบุดุงุก ุงู„ุฎู„ูŠุฉ cell
848
+
849
+ 255
850
+ 00:23:04,670 --> 00:23:09,910
851
+ membrane ูˆุชู†ุดูŠุท ู‡ุฐุง ุงู„ู€
852
+
853
+ 256
854
+ 00:23:09,910 --> 00:23:15,970
855
+ ู…ุณุชู‚ุจู„ ู‡ูŠุนู…ู„ ุนู„ู‰ ุชูˆู„ูŠุฏ ุฅุดุงุฑุฉ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ
856
+
857
+ 257
858
+ 00:23:15,970 --> 00:23:23,080
859
+ ู‡ุฐู‡ ุงู„ุฅุดุงุฑุฉ ู‡ูŠุชู… ุชู…ุฑูŠุฑู‡ุง ุนุจุฑ ุณู„ุณู„ุฉ cascade ู…ู†
860
+
861
+ 258
862
+ 00:23:23,080 --> 00:23:29,860
863
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ู„ุบุงูŠุฉ ู…ุง ุชุตู„ ุงู„ุฅุดุงุฑุฉ ุฅู„ู‰ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
864
+
865
+ 259
866
+ 00:23:29,860 --> 00:23:34,460
867
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุชู†ุดูŠุท ู„ู€ transcription factors
868
+
869
+ 260
870
+ 00:23:34,460 --> 00:23:39,360
871
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุฅู†ุชุงุฌ ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจู€
872
+
873
+ 261
874
+ 00:23:39,360 --> 00:23:44,140
875
+ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ ูˆ ุงู†ู‚ุณุงู… ุงู„ุฎู„ุงูŠุง proliferation ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู„ูŠ
876
+
877
+ 262
878
+ 00:23:44,140 --> 00:23:49,230
879
+ ุจูŠุตูŠุฑ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ุญุฏูˆุซ ู„ู€
880
+
881
+ 263
882
+ 00:23:49,230 --> 00:23:55,050
883
+ ุงู„ุณุฑุทุงู†ุŒ ุฅู† ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ุฃูˆ ููŠ ุญุงู„ุฉ ุงู„ุณุฑุทุงู†ุŒ
884
+
885
+ 264
886
+ 00:23:55,050 --> 00:23:57,610
887
+ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ู„ูŠุณุช ู…ุนุชู…ุฏุฉ ุนู„ู‰ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ ุงู„ุทุจูŠุนูŠุฉ Cancer Cells are not dependent on normal growth
888
+
889
+ 265
890
+ 00:23:57,610 --> 00:24:02,810
891
+ factor signaling ูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ู…ุด ู‡ุชุญุชุงุฌ ู„ู€ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ
892
+
893
+ 266
894
+ 00:24:02,810 --> 00:24:06,390
895
+ Growth factors ุงู„ู„ูŠ ู‡ูˆ ู…ู…ูƒู† ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
896
+
897
+ 267
898
+ 00:24:06,390 --> 00:24:10,470
899
+ ุงู†ู‚ุณุงู… ูˆูุนู„ูŠุง ุงุณุชู‚ู„ุงู„ ุฅุดุงุฑุงุช ุงู„ู†ู…ูˆ Growth signal autonomy
900
+
901
+ 268
902
+ 00:24:10,470 --> 00:24:15,650
903
+ ู…ู…ูƒู† ูŠุตูŠุฑ ุจุฃูƒุซุฑ ู…ู† ุทุฑูŠู‚ุฉ ูˆุงุญุฏุฉ ู…ู† ุงู„ุทุฑู‚ ุฃู†
904
+
905
+ 269
906
+ 00:24:15,650 --> 00:24:19,370
907
+ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุชูƒุชุณุจ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุชุตู†ูŠุน ูˆ acquire the ability to synthesize and
908
+
909
+ 270
910
+ 00:24:19,370 --> 00:24:23,740
911
+ ุฅูุฑุงุฒ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ ุงู„ุฎุงุตุฉ ุจู‡ุง secrete their own growth factors ุจู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุฅู†
912
+
913
+ 271
914
+ 00:24:23,740 --> 00:24:27,660
915
+ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุชู†ุชุฌ ู‡ุฐู‡ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ ูˆุงู„ู€
916
+
917
+ 272
918
+ 00:24:27,660 --> 00:24:31,940
919
+ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ Growth Factors ุชุฑุชุจุท ุจุงู„ู€ ู…ุณุชู‚ุจู„ุงุช Receptors ูˆุชุนุทูŠู†ูŠ ุฅุดุงุฑุฉ
920
+
921
+ 273
922
+ 00:24:31,940 --> 00:24:35,660
923
+ ู„ู€ ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉ Cell Proliferation ุจู‡ุฐู‡ ุทุฑูŠู‚ุฉุŒ ุงู„ุทุฑูŠู‚ุฉ
924
+
925
+ 274
926
+ 00:24:35,660 --> 00:24:39,800
927
+ ุงู„ุซุงู†ูŠุฉ ุฅู†ู‡ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุฏู†ุง ุนุฏุฏ ุงู„ู…ุณุชู‚ุจู„ุงุช
928
+
929
+ 275
930
+ 00:24:39,800 --> 00:24:43,520
931
+ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุบุดุงุก ุงู„ุฎู„ูŠุฉ Cell Membrane ู„ุงุณุชู‚ุจุงู„ ุนูˆุงู…ู„ ุงู„ู†ู…ูˆ Growth
932
+
933
+ 276
934
+ 00:24:43,520 --> 00:24:47,280
935
+ Factors ูˆุจุงู„ุชุงู„ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุญุชู‰ ุงู„ุชุฑูƒูŠุฒุงุช ุงู„ู…ู†ุฎูุถุฉ Lower
936
+
937
+ 277
938
+ 00:24:47,280 --> 00:24:50,890
939
+ Concentrations of Growth Factors ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
940
+
941
+ 278
942
+ 00:24:50,890 --> 00:24:57,710
943
+ ุงุณุชุฌุงุจุฉ ู„ู„ุฎู„ูŠุฉ ูˆุงู†ู‚ุณุงู… ูˆุงู„ุทุฑูŠู‚ุฉ ุงู„ุซุงู„ุซุฉ
944
+
945
+ 279
946
+ 00:24:57,710 --> 00:25:02,370
947
+ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ ุทูุฑุงุช mutations
948
+
949
+ 280
950
+ 00:25:02,370 --> 00:25:07,890
951
+ ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุจุชู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุบุดุงุก ุงู„ุฎู„ูŠุฉ cell
952
+
953
+ 281
954
+ 00:25:07,890 --> 00:25:14,630
955
+ membrane ุฅู„ู‰ ุฏุงุฎู„ ุงู„ู†ูˆุงุฉ nucleus ุงู„ู…ูุฑูˆุถ ุฃู† ุงู„ุจุฑูˆุชูŠู†ุงุช
956
+
957
+ 282
958
+ 00:25:14,630 --> 00:25:17,410
959
+ ู‡ุฐู‡ ูŠุตูŠุฑ ู„ู‡ุง ุชู†ุดูŠุท ููŠ ุญุงู„ุฉ ุงุฑุชุจุท ุนู†ุฏู†ุง ุนุงู…ู„ ู†ู…ูˆ
960
+
961
+ 283
962
+ 00:25:17,410 --> 00:25:21,330
963
+ growth factor ู„ูƒู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุทูุฑุงุช ูˆูŠุตูŠุฑ ููŠ
964
+
965
+ 284
966
+ 00:25:21,330 --> 00:25:24,810
967
+ ุนู†ุฏู†ุง ุชู†ุดูŠุท ุณูˆุงุก ู„ู„ู…ุณุชู‚ุจู„ ุฃูˆ ู„ู„ุจุฑูˆุชูŠู†ุงุช
968
+
969
+ 285
970
+ 00:25:24,810 --> 00:25:28,950
971
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ involved ููŠ ู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู„ูˆ ุตุงุฑ ููŠ
972
+
973
+ 286
974
+ 00:25:28,950 --> 00:25:32,290
975
+ ุนู†ุฏู†ุง ุทูุฑุงุช ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุฅุดุงุฑุฉ ุฏุงุฆู…ุฉ always on
976
+
977
+ 287
978
+ 00:25:32,290 --> 00:25:36,570
979
+ signal ุงู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง always on signal ูˆูŠุธู„
980
+
981
+ 288
982
+ 00:25:36,570 --> 00:25:41,030
983
+ ุงู„ุฅุดุงุฑุฉ ู…ูˆุฌูˆุฏุฉ ูˆูŠุธู„ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุชู†ุดูŠุท ู„ู€
984
+
985
+ 289
986
+ 00:25:41,030 --> 00:25:43,260
987
+ ุนูˆุงู…ู„ ุงู„ู†ุณุฎ transcription factors ูˆุจุงู„ุชุงู„ูŠ ุงู†ู‚ุณุงู… ุงู„ุฎู„ูŠุฉ Cell
988
+
989
+ 290
990
+ 00:25:43,260 --> 00:25:48,680
991
+ Proliferation ุญุชู‰ ููŠ ุนุฏู… ูˆุฌูˆุฏ ุนุงู…ู„ ุงู„ู†ู…ูˆ Growth Factor ุจุฌุงู†ุจ
992
+
993
+ 291
994
+ 00:25:48,680 --> 00:25:52,000
995
+ ุงู„ุฎุงุตูŠุฉ ุงู„ุฃูˆู„ู‰ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ุชุณู…ู‰
996
+
997
+ 292
998
+ 00:25:52,000 --> 00:25:56,840
999
+ ุงุณุชู‚ู„ุงู„ ุฅุดุงุฑุงุช ุงู„ู†ู…ูˆ Growth Signal Autonomy ู‡ูˆ ุนุฏู… ุงุนุชู…ุงุฏ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู†
1000
+
1001
+ 293
1002
+ 00:25:56,840 --> 00:26:02,560
1003
+ Cells ุนู„ู‰ ุงู„ุฅุดุงุฑุงุช ุงู„ุทุจูŠุนูŠุฉ ุฃูˆ ุนูˆุงู…ู„
1004
+
1005
+ 294
1006
+ 00:26:02,560 --> 00:26:06,140
1007
+ ุงู„ู†ู…ูˆ Growth Factors ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ู„ุงู†ู‚ุณุงู…
1008
+
1009
+ 295
1010
+ 00:26:08,090 --> 00:26:11,130
1011
+ ุนู†ุฏู†ุง ุงู„ุฎุงุตูŠุฉ ุงู„ุซุงู†ูŠุฉ invasion of growth
1012
+
1013
+ 296
1014
+ 00:26:11,130 --> 00:26:17,730
1015
+ inhibitory signals ุทูŠุจ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฒูŠ ู…ุง ููŠ
1016
+
1017
+ 297
1018
+ 00:26:17,730 --> 00:26:25,100
1019
+ ุนู†ุฏู†ุง ุฅุดุงุฑุงุช ุนุดุงู† ุงู„ุฎู„ูŠุฉ ุชุฏุฎู„ ููŠ ุงู†ู‚ุณุงู… ุฃูˆ
1020
+
1021
+ 298
1022
+ 00:26:25,100 --> 00:26:29,600
1023
+ ุชุฏุฎู„ ููŠ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ cell cycle ููŠ ุฃูŠุถู‹ุง ุฅุดุงุฑุงุช ู…ุซุจุทุฉ inhibitory signals
1024
+
1025
+ 299
1026
+ 00:26:29,600 --> 00:26:36,560
1027
+ ูˆ ุงู„ุฅุดุงุฑุงุช ุงู„ู…ุซุจุทุฉ ู‡ุฐู‡ ุจุชู…ู†ุน ุงู„ุฎู„ูŠุฉ ู…ู† ุงู„ุฏุฎูˆู„
1028
+
1029
+ 300
1030
+ 00:26:36,560 --> 00:26:41,500
1031
+ ููŠ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ุชุณุชุฌูŠุจ the normal cells respond to
1032
+
1033
+ 301
1034
+ 00:26:41,500 --> 00:26:46,370
1035
+ ู„ู„ุฅุดุงุฑุงุช ุงู„ู…ุซุจุทุฉ ู„ู„ุญูุงุธ ุนู„ู‰ ุงู„ุชูˆุงุฒู† ุฃูˆ ุฒูŠ ู…ุง inhibitory signals to maintain homeostasis ุฃูˆ ุฒูŠ ู…ุง
1036
+
1037
+ 302
1038
+ 00:26:46,370 --> 00:26:48,650
1039
+ ุงุญู†ุง ุนุงุฑููŠู† ุฃู† ู…ุนุธู… ุฎู„ุงูŠุง ุงู„ุฌุณู… most cells of the body are not
1040
+
1041
+ 303
1042
+ 00:26:48,650 --> 00:26:52,830
1043
+ ุชู†ู‚ุณู… ุจู†ุดุงุท ู„ุฃู† ููŠ ุนู†ุฏูŠ ุฅุดุงุฑุงุช ู…ุซุจุทุฉ actively dividing ู„ุฃู†ู‡ ููŠ ุนู†ุฏูŠ ุฅุดุงุฑุงุช ู…ุซุจุทุฉ
1044
+
1045
+ 304
1046
+ 00:26:52,830 --> 00:26:57,550
1047
+ ู„ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ูˆุจุชู…ู†ุน ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ู…ู† ุงู„ุฏุฎูˆู„ ููŠ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ cell
1048
+
1049
+ 305
1050
+ 00:26:57,550 --> 00:27:02,210
1051
+ cycle ู„ูƒู† ุจุงู„ู†ุณุจุฉ ู„ู„ุณุฑุทุงู†ุŒ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ู„ุง cancer cells do not
1052
+
1053
+ 306
1054
+ 00:27:02,210 --> 00:27:07,360
1055
+ ุชุณุชุฌูŠุจ ู„ุฅุดุงุฑุงุช ุงู„ู†ู…ูˆ ุงู„ู…ุซุจุทุฉ respond to growth inhibitory signals acquired
1056
+
1057
+ 307
1058
+ 00:27:07,360 --> 00:27:13,560
1059
+ ุทูุฑุงุช ุชูุนูŠู‚ ุงู„ู…ุณุงุฑุงุช ุงู„ู…ุซุจุทุฉ ูˆู‡ุฐุง mutations interfere with inhibitory pathways ูˆู‡ุฐุง
1060
+
1061
+ 308
1062
+ 00:27:13,560 --> 00:27:19,500
1063
+ ุงู„ู€ุดูƒู„ ุจูŠูˆุถุญ ุงู„ููƒุฑุฉ ูˆุทุจุนุง ู‡ุฐุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุฅู†
1064
+
1065
+ 309
1066
+ 00:27:19,500 --> 00:27:26,240
1067
+ ุดุงุก ุงู„ู„ู‡ ู„ู…ุง ู†ูŠุฌูŠ ู†ุญูƒูŠ ุนู„ู‰ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ ุงู„ุขู† ุงู„ู€ E2F
1068
+
1069
+ 310
1070
+ 00:27:26,240 --> 00:27:29,600
1071
+ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุนุงู…ู„ ู†ุณุฎ ูˆู‡ุฐุง ุงู„ู€
1072
+
1073
+ 311
1074
+ 00:27:29,600 --> 00:27:37,110
1075
+ ุนุงู…ู„ ุงู„ู†ุณุฎ ูŠู„ุฒู…ู†ูŠ ุทุจุนุง ู„ุฅู†ุชุงุฌ ุงู„ุนุฏูŠุฏ ู…ู†
1076
+
1077
+ 312
1078
+ 00:27:37,110 --> 00:27:41,830
1079
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู†ู‚ุณุงู… ุงู„ุฎู„ุงูŠุง ุทูŠุจ ุงู„ู€
1080
+
1081
+ 313
1082
+ 00:27:41,830 --> 00:27:45,050
1083
+ ุจุฑูˆุชูŠู† ุงู„ู€ Retinoblastoma ู‡ุฐุง ู…ุฑุชุจุท ุจู€
1084
+
1085
+ 314
1086
+ 00:27:45,050 --> 00:27:48,970
1087
+ ุงู„ู€ Retinoplastoma ูˆุงุฑุชุจุงุท ุงู„ู€ Retinoblastoma ู…ุนุงู‡
1088
+
1089
+ 315
1090
+ 00:27:48,970 --> 00:27:53,610
1091
+ ุจูŠู…ู†ุน ุฃู† ุงู„ู€ E2F ุชุตุจุญ ู†ุดุทุฉ ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง
1092
+
1093
+ 316
1094
+ 00:27:53,610 --> 00:27:56,370
1095
+ ุฅู†ุชุงุฌ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ุงู†ู‚ุณุงู… proliferation
1096
+
1097
+ 317
1098
+ 00:27:56,370 --> 00:28:03,090
1099
+ ุทูŠุจ ู„ู…ุง ูŠุฑุชุจุท ุจุงู„ุฎู„ูŠุฉ ุฅุฐุง ูƒุงู† ุจุดูƒู„ ุทุจูŠุนูŠ ุนุงู…ู„ ู†ู…ูˆ
1100
+
1101
+ 318
1102
+ 00:28:03,090 --> 00:28:07,150
1103
+ growth factor ูˆูŠุฑุชุจุท ู…ุน ุงู„ู…ุณุชู‚ุจู„ receptor ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ูŠุฑุชุจุท
1104
+
1105
+ 319
1106
+ 00:28:07,150 --> 00:28:13,490
1107
+ ุงู„ุฅุดุงุฑุฉ ู„ู„ู†ูˆุงุฉ nucleus ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุชู†ุดูŠุท
1108
+
1109
+ 320
1110
+ 00:28:13,490 --> 00:28:20,530
1111
+ ูƒูŠู†ุงุฒ ู…ุนุชู…ุฏ ุนู„ู‰ ุงู„ุณูŠูƒู„ูŠู† Cycline-dependent kinase ูˆู‡ุฐุง ูŠุนู…ู„ ูุณููˆุฑูŠู„ูŠุดู†
1112
+
1113
+ 321
1114
+ 00:28:20,530 --> 00:28:24,450
1115
+ ู„ุจุฑูˆุชูŠู† ุงู„ู€ Retinoblastoma ูˆู‡ุฐุง ุงู„ูุณููˆุฑูŠู„ูŠุดู†
1116
+
1117
+ 322
1118
+ 00:28:24,450 --> 00:28:28,110
1119
+ ูŠุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุชุฑูƒูŠุจู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ structure
1120
+
1121
+ 323
1122
+ 00:28:28,110 --> 00:28:31,830
1123
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ ุงู†ูุตุงู„ Release ู„ู€ Retinoblastoma
1124
+
1125
+ 324
1126
+ 00:28:31,830 --> 00:28:35,190
1127
+ ุนู† ุงู„ู€ E2F ูˆุงู„ู€ E2F ุจูŠุตูŠุฑ ู†ุดุทู‹ุง ูˆูŠุนู…ู„ ุฅู†ุชุงุฌ
1128
+
1129
+ 325
1130
+ 00:28:35,190 --> 00:28:40,140
1131
+ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุจู‡ุฐุง ุฅุฐุง ูƒุงู† ุตุงุฑ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุชุญููŠุฒ ุงู„ู†ู…ูˆ Growth
1132
+
1133
+ 326
1134
+ 00:28:40,140 --> 00:28:45,760
1135
+ Stimulation ูˆุฏุฎู„ุช ุงู„ุฎู„ูŠุฉ ููŠ ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ Cell Cycle ุทูŠุจ ุงู„ุขู† ููŠ
1136
+
1137
+ 327
1138
+ 00:28:45,760 --> 00:28:49,360
1139
+ ุญุงู„ุงุช ุงู„ุทูˆุงุฑุฆ ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠ ุนู†ุฏู†ุง ุฅูŠุด CDK
1140
+
1141
+ 328
1142
+ 00:28:49,360 --> 00:28:54,340
1143
+ -ู…ุซุจุทุงุช Inhibitors ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ู…ุซุจุทุงุช CDK-Inhibitors ูˆุจุชู…ู†ุน
1144
+
1145
+ 329
1146
+ 00:28:54,340 --> 00:28:57,640
1147
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ ุงู„ู€ CDK ูˆุจุงู„ุชุงู„ูŠ ุจุชู…ู†ุน ู…ู†
1148
+
1149
+ 330
1150
+ 00:28:57,640 --> 00:29:00,200
1151
+ ุงู„ูุณููˆุฑูŠู„ูŠุดู† ู„ู„ู€ุฑูŠุชูŠู†ูˆุจู„ุงุณุชูˆู…ุง ูˆุจูŠุธู„
1152
+
1153
+ 331
1154
+ 00:29:00,200 --> 00:29:03,860
1155
+ ุงู„ุฑูŠุชูŠู†ูˆุจู„ุงุณุชูˆู…ุง ู…ุฑุชุจุท ุจุงู„ู€ E2F ูˆุจุงู„ุชุงู„ูŠ ูŠุนู…ู„
1156
+
1157
+ 332
1158
+ 00:29:03,860 --> 00:29:09,610
1159
+ ุฅูŠู‚ุงู ู„ุฏูˆุฑุฉ ุงู„ุฎู„ูŠุฉ Cell Cycle Arrest ูŠุจู‚ู‰ ู‡ุฐุง ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ
1160
+
1161
+ 333
1162
+ 00:29:09,610 --> 00:29:14,490
1163
+ ุฃู† ุทูุฑุงุช ู…ุณุฑุทู†ุฉ Oncogenic exchanges ู„ู€ ู…ุซุจุทุงุช CDK Inhibitors ุชู…ุงู…
1164
+
1165
+ 334
1166
+ 00:29:14,490 --> 00:29:18,410
1167
+ ูŠุจู‚ู‰ ู…ุซุจุทุงุช CDK ู‡ุฐู‡ ู…ุด ู‡ุชู‚ุฏุฑ ุชุนู…ู„
1168
+
1169
+ 335
1170
+ 00:29:18,410 --> 00:29:23,090
1171
+ ุฅูŠู‚ุงู ู„ู€ CDK ูˆ ุงู„ู€ CDK ู‡ูŠุธู„ ู†ุดุทู‹ุง ูˆุดุบุงู„ ูˆ
1172
+
1173
+ 336
1174
+ 00:29:23,090 --> 00:29:25,970
1175
+ ู‡ูŠุธู„ ูŠุนู…ู„ ุงู„ูุณููˆุฑูŠู„ูŠุดู† ู„ู„ุฑูŠุชูŠู†ูˆุจู„ุงุณุชูˆู…ุง
1176
+
1177
+ 337
1178
+ 00:29:25,970 --> 00:29:29,490
1179
+ ูˆ ุนุงู…ู„ ุงู„ู†ุณุฎ E2F ู‡ุชุธู„ ู†ุดุทุฉ ูˆู‡ูŠุธู„
1180
+
1181
+ 338
1182
+ 00:29:29,490 --> 00:29:32,930
1183
+ ูŠู†ุชุฌ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจู€
1184
+
1185
+ 339
1186
+ 00:29:32,930 --> 00:29:36,840
1187
+ ุงู„ุงู†ู‚ุณุงู… proliferation ูˆู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู†ู‚ุณุงู…
1188
+
1189
+ 340
1190
+ 00:29:36,840 --> 00:29:43,320
1191
+ ู„ุฎู„ุงูŠุง ูˆุงู„ุฎุงุตูŠุฉ ุงู„ุซุงู„ุซุฉ ุบุฒูˆ ู…ูˆุช ุงู„ุฎู„ุงูŠุง cell
1192
+
1193
+ 341
1194
+ 00:29:43,320 --> 00:29:49,300
1195
+ death ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ุฃูŠุถู‹ุง ู„ูˆ ุตุงุฑ ููŠู†ุง
1196
+
1197
+ 342
1198
+ 00:29:49,300 --> 00:29:55,320
1199
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ุฎู„ูŠุฉ ู„ูˆ ุตุงุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ู…ู…ูƒู† ููŠ ุงู„ู€
1200
+
1201
+ 343
1202
+ 00:29:55,320 --> 00:30:00,320
1203
+ ุขู„ูŠุงุช ุงุณุชุดุนุงุฑ ู„ู€ ุงู„ู€ DNA ูˆู…ุงุตุงุฑุด ููŠู†ุง ุฅุตู„ุงุญ ูŠุจู‚ู‰
1204
+
1205
+ 344
1206
+ 00:30:00,320 --> 00:30:07,650
1207
+ ุงู„ู…ูุฑูˆุถ ุฃู† ุงู„ุฎู„ูŠุฉ ุชุฏุฎู„ ููŠ ู…ูˆุช ุฎู„ูˆูŠ ู…ุจุฑู…ุฌ apoptosis ุจูŠุตูŠุฑ ุนู†ุฏู†ุง
1208
+
1209
+ 345
1210
+ 00:30:07,650 --> 00:30:14,170
1211
+ ุชุญุฑูŠุถ ู„ู€ apoptosis ูˆุจุตูŠุฑ ุนู†ุฏู†ุง ู…ูˆุช ู„ู„ุฎู„ูŠุฉ ูŠุจู‚ู‰
1212
+
1213
+ 346
1214
+ 00:30:14,170 --> 00:30:21,430
1215
+ ู‡ุฐุง ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ุงู„ุขู† ู…ู…ูƒู† ุงู„ุฎู„ุงูŠุง ุฎู„ุงูŠุง
1216
+
1217
+ 347
1218
+ 00:30:21,430 --> 00:30:26,910
1219
+ ุงู„ุณุฑุทุงู† ุชุนู…ู„ ุชุฌู†ุจ ู„ู…ูˆุช ุงู„ุฎู„ูŠุฉ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†
1220
+
1221
+ 348
1222
+ 00:30:26,910 --> 00:30:32,750
1223
+ ุทุฑูŠู‚ ุชุฌู†ุจ ุฅุดุงุฑุงุช ู…ูˆุช ุงู„ุฎู„ูŠุฉ evade by evading apoptotic signals ู„ู…ุง
1224
+
1225
+ 349
1226
+ 00:30:32,750 --> 00:30:37,430
1227
+ ู†ุญูƒูŠ ุนู† ุงู„ู€ Apoptosis ุจุงู„ุชูุตูŠู„ ู‡ู†ุดูˆู ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง
1228
+
1229
+ 350
1230
+ 00:30:37,430 --> 00:30:44,490
1231
+ ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุชุนุชุจุฑ ู…ุถุงุฏุฉ ู„ู…ูˆุช ุงู„ุฎู„ุงูŠุง Anti-apoptotic ุจุฑูˆุชูŠู†ุงุช ูˆุฌูˆุฏู‡ุง
1232
+
1233
+ 351
1234
+ 00:30:44,490 --> 00:30:50,390
1235
+ ุจูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ู€ Apoptosis ุฃูˆ ู…ู† ุงู„ุชุญุฑูŠุถ ู„ู€
1236
+
1237
+ 352
1238
+ 00:30:50,390 --> 00:30:55,310
1239
+ Apoptosis ูˆ ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
1240
+
1241
+ 353
1242
+ 00:30:55,310 --> 00:31:00,960
1243
+ ุชุนุชุจุฑ ู…ุญูุฒุฉ ู„ู…ูˆุช ุงู„ุฎู„ุงูŠุง Pre-apoptotic ูŠุจู‚ู‰ ูˆุฌูˆุฏ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุชู…ุงู…
1244
+
1245
+ 354
1246
+ 00:31:00,960 --> 00:31:08,400
1247
+ ุจูŠู‡ูŠุฆ ูˆุจูŠุณุงุนุฏ ุนู„ู‰ ุฏุฎูˆู„ ุงู„ุฎู„ูŠุฉ ููŠ apoptosis ูŠุจู‚ู‰
1248
+
1249
+ 355
1250
+ 00:31:08,400 --> 00:31:11,520
1251
+ ุฅุญู†ุง ู„ู…ุง ุจู†ุญูƒูŠ ุนู„ู‰ ุชุฌู†ุจ ู…ูˆุช ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰ ู…ู…ูƒู†
1252
+
1253
+ 356
1254
+ 00:31:11,520 --> 00:31:17,200
1255
+ ุจู†ุญูƒูŠ ุนู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุฅู†ุชุงุฌ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุถุงุฏุฉ ู„ู…ูˆุช ุงู„ุฎู„ุงูŠุง Anti-apoptotic proteins
1256
+
1257
+ 357
1258
+ 00:31:17,200 --> 00:31:20,280
1259
+ ูŠุจู‚ู‰ ุฒูŠ ูƒุงู† ููŠ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ู…ุถุงุฏุฉ ู„ู…ูˆุช ุงู„ุฎู„ุงูŠุง Anti-apoptotic proteins ุฒูŠ
1260
+
1261
+ 358
1262
+ 00:31:20,280 --> 00:31:25,990
1263
+ ุงู„ู€ BCL2 ูˆ BCLXLุตุงุฑ ููŠู†ุง ุฅู†ุชุงุฌ ุจูƒู…ูŠุงุช ุฃูƒุจุฑ ูŠุจู‚ู‰
1264
+
1265
+ 359
1266
+ 00:31:25,990 --> 00:31:29,690
1267
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ู€ ุฃุจุงุจูˆุชูˆุฒ ุฃูˆ ุฃู†ู‡ ูŠุตูŠุฑ
1268
+
1269
+ 360
1270
+ 00:31:29,690 --> 00:31:35,650
1271
+ ุนู†ุฏู†ุง ุฅู†ุชุงุฌ ู‚ู„ูŠู„ under production ู„ู€ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู…ุญูุฒุฉ ู„ู…ูˆุช ุงู„ุฎู„ุงูŠุง pre-apoptotic proteins
1272
+
1273
+ 361
1274
+ 00:31:35,650 --> 00:31:42,550
1275
+ ุฒูŠ ุงู„ู€ Bax ูˆ ุงู„ู€ Bak ูˆ ุงู„ู€ Bad ุงู„ู€
1276
+
1277
+ 362
1278
+ 00:31:42,550 --> 00:31:46,850
1279
+ ุงู„ุฎุงุตูŠุฉ ุงู„ุฑุงุจุนุฉ ุฅู…ูƒุงู†ูŠุฉ ุชูƒุงุซุฑ ุบูŠุฑ ู…ุญุฏูˆุฏุฉ unlimited replicative potential
1280
+
1281
+ 363
1282
+ 00:31:51,780 --> 00:31:57,500
1283
+ ุทูŠุจ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุจุดูƒู„ ุทุจูŠุนูŠ ุฒูŠ ููŠู‡ุง ุนุฏุงุฏ
1284
+
1285
+ 364
1286
+ 00:31:57,500 --> 00:32:03,680
1287
+ ุงู„ู„ูŠ ู‡ูˆ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชู‚ูˆู… ุจู‡ุง ุงู„ุฎู„ูŠุฉ
1288
+
1289
+ 365
1290
+ 00:32:03,680 --> 00:32:08,660
1291
+ ูŠุจู‚ู‰ ููŠู‡ุง ุฌู‡ุงุฒ ุนุฏ ุฐุงุชูŠ autonomous counting device ูˆู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ
1292
+
1293
+ 366
1294
+ 00:32:08,660 --> 00:32:16,200
1295
+ ุจูŠุญุฏุฏ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ุญุตู„ุช ู„ู„ุฎู„ูŠุฉ ูˆุจุนุฏ ุฐู„ูƒ
1296
+
1297
+ 367
1298
+ 00:32:16,200 --> 00:32:22,800
1299
+ ุจูŠุตูŠุฑ ุฃู† ุงู„ุฎู„ูŠุฉ ุชุดูŠุฎ the cell become senescent
1300
+
1301
+ 368
1302
+ 00:32:22,800 --> 00:32:28,940
1303
+ ูˆุจุนุฏ ุฐู„ูƒ ุทุจุนุง ุจุชู…ูˆุช ู‡ุฐุง ุงู„ุฌู‡ุงุฒ ุงู„ุนุฏุงุฏ ุงู„ุฎู„ูˆูŠ this cellular counting device
1304
+
1305
+ 369
1306
+ 00:32:28,940 --> 00:32:31,960
1307
+ ู‡ูˆ ู‚ุตุฑ ู†ู‡ุงูŠุงุช ุงู„ูƒุฑูˆู…ูˆุณูˆู…ุงุช is the shortening of the chromosomal ends of
1308
+
1309
+ 370
1310
+ 00:32:31,960 --> 00:32:36,560
1311
+ ุงู„ุชูŠู„ูˆู…ุฑุงุช telomeres ู‡ุฐุง ุงู„ุนุฏุงุฏ autonomous counting device
1312
+
1313
+ 371
1314
+ 00:32:36,560 --> 00:32:41,540
1315
+ ู‡ูˆ ุงู„ุชูŠู„ูˆู…ูŠุฑุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ู†ู‡ุงูŠุงุช ุงู„ูƒุฑูˆู…ูˆุณูˆู…ุงุช chromosomes
1316
+
1317
+ 372
1318
+ 00:32:43,370 --> 00:32:51,350
1319
+ ุชู…ุงู…ุŸ ูˆุงู„ู„ูŠ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ู„ู„ุฎู„ูŠุฉ ุจูŠู‚ุตุฑ ุงู„ุชูŠู„ูˆู…ูŠุฑ
1320
+
1321
+ 373
1322
+ 00:32:51,350 --> 00:32:58,510
1323
+ telomere ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุชุญุงูุธ ุนู„ู‰ ุทูˆู„ ุชูŠู„ูˆู…ุฑุงุชู‡ุง cancer cells maintain the length of their
1324
+
1325
+ 374
1326
+ 00:32:58,510 --> 00:33:02,610
1327
+ telomeres ู‡ุฐุง ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ูˆู‡ุฐุง ุงู„ู„ูŠ
1328
+
1329
+ 375
1330
+ 00:33:02,610 --> 00:33:07,510
1331
+ ุจูŠุฎู„ูŠ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ู„ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู† ุบูŠุฑ
1332
+
1333
+ 376
1334
+ 00:33:07,510 --> 00:33:12,380
1335
+ ู…ุญุฏูˆุฏ ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ุชู‚ูˆู„ ู„ู†ุง ุฃู† ุงู„ุชูŠู„ูˆู…ูŠุฑุงุช ุชู‚ุตุฑ
1336
+
1337
+ 377
1338
+ 00:33:12,380 --> 00:33:17,420
1339
+ ูƒู„ ุงู†ู‚ุณุงู… ุจูŠู‚ุตุฑ ุนู†ุฏู†ุง ุงู„ุชูŠู„ูˆู…ูŠุฑ ู„ูƒู† ุฎู„ุงูŠุง ุงู„ุณุฑุทุงู†
1340
+
1341
+ 378
1342
+ 00:33:17,420 --> 00:33:24,600
1343
+ ู‡ุฐุง ู‡ุฐุง ุงู„ุดูŠุก ู…ุง ุจูŠุตูŠุฑุด ู„ูŠุดุŸ ู„ุฃู† ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ุฅู†ุฒูŠู…
1344
+
1345
+ 379
1346
+ 00:33:24,600 --> 00:33:32,560
1347
+ ุชูŠู„ูˆู…ูŠุฑุงุฒ telomerase ูˆู‡ุฐุง ุงู„ุฅู†ุฒูŠู… ุจูŠุนู…ู„ ุฃูˆ ุจูŠุนูˆุถ ุงู„ู†ู‚ุต ุงู„ู„ูŠ
1348
+
1349
+ 380
1350
+ 00:33:32,560 --> 00:33:39,780
1351
+ ุจูŠุตูŠุฑ ูˆุจูŠุนู…ู„ ุฅุทุงู„ุฉ ู„ู€ ุงู„ุชูŠู„ูˆู…ูŠุฑุงุช ุงู„ู„ูŠ ุจุชุตูŠุฑ
1352
+
1353
+ 381
1354
+ 00:33:39,780 --> 00:33:45,980
1355
+ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ูˆุจุงู„ุชุงู„ูŠ ุจูŠุฑุฌุน ุงู„ู‚ุตุฑ ุงู„ู„ูŠ ุจูŠุตูŠุฑ
1356
+
1357
+ 382
1358
+ 00:33:45,980 --> 00:33:52,300
1359
+ ููŠ ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ุจูŠูƒูˆู† ุนู†ุฏู†ุง ุฏุงุฆู…ู‹ุง ููŠู‡
1360
+
1361
+ 383
1362
+ 00:33:52,300 --> 00:33:59,940
1363
+ ู‚ุฏุฑุฉ ู„ู„ุฎู„ุงูŠุง ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ู‡ุฐู‡
1364
+
1365
+ 384
1366
+ 00:33:59,940 --> 00:34:03,480
1367
+ ุจุฑุถู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡ ูŠุนู†ูŠ ุจุดูˆูŠุฉ ุชูุตูŠู„ ุงู„ู„ูŠ
1368
+
1369
+ 385
1370
+ 00:34:03,480 --> 00:34:10,530
1371
+ ู‚ุฏุงู…ู†ุง ุงู„ุฎุงุตูŠุฉ ุงู„ุฎุงู…ุณุฉ ุชูƒูˆูŠู† ุงู„ุฃูˆุนูŠุฉ ุงู„ุฏู…ูˆูŠุฉ angiogenesis
1372
+
1373
+ 386
1374
+ 00:34:10,530 --> 00:34:14,310
1375
+ ุชูƒูˆูŠู† ุงู„ุฃูˆุนูŠุฉ ุงู„ุฏู…ูˆูŠุฉ ูŠุนู†ูŠ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฌุฒุก ู…ู†
1376
+
1377
+ 387
1378
+ 00:34:14,310 --> 00:34:15,110
1379
+ ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1380
+
1381
+ 388
1382
+ 00:34:15,110 --> 00:34:17,790
1383
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1384
+
1385
+ 389
1386
+ 00:34:17,790 --> 00:34:20,090
1387
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1388
+
1389
+ 390
1390
+ 00:34:20,090 --> 00:34:20,130
1391
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1392
+
1393
+ 391
1394
+ 00:34:20,130 --> 00:34:20,190
1395
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1396
+
1397
+ 392
1398
+ 00:34:20,190 --> 00:34:22,910
1399
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1400
+
1401
+ 393
1402
+ 00:34:22,910 --> 00:34:33,170
1403
+ ู…ู† ุฌุฒุก ู…ู† ุดุจูƒุฉ ุงู„ุฃูˆุนูŠุฉ ุงู„ุฏู…ูˆูŠุฉ blood vessels
1404
+
1405
+ 394
1406
+ 00:34:33,170 --> 00:34:40,650
1407
+ ุชู‚ุฑูŠุจู‹ุง ุซุงุจุชุฉ ุนู†ุฏ ุงู„ุดุฎุต ุงู„ุจุงู„ุบ adult ุงู„ุขู†
1408
+
1409
+ 395
1410
+ 00:34:40,
1411
+
1412
+ 445
1413
+ 00:39:05,700 --> 00:39:10,580
1414
+ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุดูƒู„ ููŠู‡ ูˆุฑู… ุฌุฏูŠุฏ
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/D1PG6H7tgD4_postprocess.srt ADDED
@@ -0,0 +1,1780 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,600 --> 00:00:08,520
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุจุฏุฃ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฃูˆู„ู‰ ูˆู‡ูŠ
4
+
5
+ 2
6
+ 00:00:08,520 --> 00:00:13,100
7
+ ุจุนู†ูˆุงู† introduction ูˆุงู„ู„ูŠ ู‡ู†ุชุทุฑู‚ ููŠู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:13,100 --> 00:00:20,120
11
+ ู„ู„ู†ู‚ุงุท ุงู„ุชุงู„ูŠุฉ ุจุฏุงูŠุฉ ู‡ู†ุญูƒูŠ ุนู† ุงู„ statistics ุนุงู„ู…ูŠุง
12
+
13
+ 4
14
+ 00:00:20,120 --> 00:00:25,440
15
+ ูˆุนู„ู‰ ู…ุณุชูˆู‰ ู‚ุทุงุน ุบุฒุฉ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ููŠู‡ุง
16
+
17
+ 5
18
+ 00:00:25,440 --> 00:00:31,720
19
+ ู‡ูŠ ุงู„ hallmarks of cancerูˆุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ cancer is
20
+
21
+ 6
22
+ 00:00:31,720 --> 00:00:36,440
23
+ a disease of the genome ูˆุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ
24
+
25
+ 7
26
+ 00:00:36,440 --> 00:00:40,040
27
+ influential factors in human carcinogenesis
28
+
29
+ 8
30
+ 00:00:40,040 --> 00:00:46,780
31
+ ุงู„ุนูˆุงู…ู„ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุงุนุฏ ููŠ ุญุฏูˆุซ cancer
32
+
33
+ 9
34
+ 00:00:46,780 --> 00:00:54,320
35
+ ู†ุจุฏุฃ ุจุงู„ุฅุญุตุงุฆูŠุงุช cancer
36
+
37
+ 10
38
+ 00:00:54,320 --> 00:01:01,330
39
+ is a major cause of mortality andุงู„ุนู†ุตุฑ ู‡ูˆ ู…ุตุงุฏุฑ
40
+
41
+ 11
42
+ 00:01:01,330 --> 00:01:08,770
43
+ ุนุงู…ุฉ ู„ู„ุนู†ุตุฑูŠุฉ ูˆุงู„ู…ูˆุชู‰ ูˆููŠ ุงู„ุนุงู… 2018 ุญุณุจ
44
+
45
+ 12
46
+ 00:01:08,770 --> 00:01:14,070
47
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุชู‚ุฑูŠุจุง 18 ู…ู„ูŠูˆู† ููŠ ุญุงู„ุงุช ุฌุฏูŠุฏุฉ ู…ู†
48
+
49
+ 13
50
+ 00:01:14,070 --> 00:01:24,490
51
+ ุงู„ุนู†ุตุฑ ูƒุงู†ุช ู…ูˆุงุฌู‡ุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุนุฏุฏ ูˆููŠุงุช ุชู‚ุฑูŠุจุง
52
+
53
+ 14
54
+ 00:01:24,490 --> 00:01:27,130
55
+ ุชุณุนุฉ ูˆู†ุต ู…ู„ูŠูˆู† ุดุฎุต
56
+
57
+ 15
58
+ 00:01:29,420 --> 00:01:36,180
59
+ ุทุจุนุง ุงู„ cancer ู…ุด ู…ู‚ุชุตุฑ ุญุฏูˆุทู‡ ุนู„ู‰ ุจู„ุฏ ู…ุนูŠู† ูŠุจู‚ู‰
60
+
61
+ 16
62
+ 00:01:36,180 --> 00:01:39,620
63
+ affecting populations in all countries and all
64
+
65
+ 17
66
+ 00:01:39,620 --> 00:01:46,860
67
+ regionsูˆุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ incidence ูˆ mortality ู„ูƒู„
68
+
69
+ 18
70
+ 00:01:46,860 --> 00:01:53,700
71
+ 100 ุฃู„ู ุดุฎุต ุชู‚ุฑูŠุจุง ุฃู† 182 ุงู„ incidence rate ู„ูƒู„
72
+
73
+ 19
74
+ 00:01:53,700 --> 00:01:59,740
75
+ 100 ุฃู„ู ุดุฎุต ูˆ ุงู„ mortality rate 102 ู„ูƒู„ 100 ุฃู„ู
76
+
77
+ 20
78
+ 00:01:59,740 --> 00:02:03,640
79
+ ุดุฎุต ู†ุญูƒูŠ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…
80
+
81
+ 21
82
+ 00:02:10,180 --> 00:02:14,360
83
+ ูˆุทุจุนุง ุงู„ุฃุนุฏุงุฏ ููŠ ุชุฒุงูŠุฏ ุณูˆุงุก ุจู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„
84
+
85
+ 22
86
+ 00:02:14,360 --> 00:02:17,660
87
+ incidence rate ุฃูˆ ุนู„ู‰ ุงู„ mortality rate ูŠุนู†ูŠ ู„ูˆ
88
+
89
+ 23
90
+ 00:02:17,660 --> 00:02:24,140
91
+ ุฌูŠู†ุง ู‚ุงุฑู†ู†ุง ุจูŠู† ุงู„ุนุงู… 2012 ูˆ2018 ุจู†ู„ุงู‚ูŠ ุฃู†ู‡ ููŠ
92
+
93
+ 24
94
+ 00:02:24,140 --> 00:02:28,670
95
+ ุงู„ุนุงู… 2012 ูƒุงู† ุนุฏุฏุงู„ู†ุงุณ ุงู„ู„ูŠ ุฃุตูŠุจูˆุง ุจุงู„ู€ Cancer 14
96
+
97
+ 25
98
+ 00:02:28,670 --> 00:02:35,550
99
+ ู…ู„ูŠูˆู† ูˆุงุฑุชูุน ุฅู„ู‰ 18 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018 ูˆุฃูŠุถุง ุจู…ุง
100
+
101
+ 26
102
+ 00:02:35,550 --> 00:02:40,870
103
+ ูŠุชุนู„ู‚ ุจุงู„ู€ Mortality Rate ูˆุนุฏุฏ ุงู„ูˆููŠุงุช ููŠ 2012 ูƒุงู†
104
+
105
+ 27
106
+ 00:02:40,870 --> 00:02:49,850
107
+ 8 ู…ู„ูŠูˆู† ูˆุงุฑุชูุน ุฅู„ู‰ 9.5 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018 ุฅุฐุง
108
+
109
+ 28
110
+ 00:02:49,850 --> 00:02:56,500
111
+ ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ุงู„ุฃุนุฏุงุฏ ู„ู€ New Cases ูˆุชูˆุฒูŠุนู‡ุง ุนู„ู‰
112
+
113
+ 29
114
+ 00:02:56,500 --> 00:03:01,000
115
+ ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู€ Cancer ุทุจุนุงู‹ ุจูŠุดู…ู„ ุงู„ both
116
+
117
+ 30
118
+ 00:03:01,000 --> 00:03:08,220
119
+ sixes ูˆ All ages ุฅู† ุงู„ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
120
+
121
+ 31
122
+ 00:03:08,220 --> 00:03:13,800
123
+ ุงู„ุฃูˆู„ู‰ ูˆ ุจูŠุดูƒู„ ุชู‚ุฑูŠุจุง 12% ู…ู† ุงู„ุญุงู„ุงุช ุงู„ูƒู„ูŠุฉ ู„ู€
124
+
125
+ 32
126
+ 00:03:13,800 --> 00:03:19,760
127
+ Cancerูˆ ุงู„ breast cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ูˆ
128
+
129
+ 33
130
+ 00:03:19,760 --> 00:03:28,160
131
+ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุจู†ูุณ ุงู„ู†ุณุจุฉ ูŠุนู†ูŠ ุจุงู„ุนุฏุฏ ุฃู‚ู„ ุจู‚ู„ูŠู„ ู…ู†
132
+
133
+ 34
134
+ 00:03:28,160 --> 00:03:31,740
135
+ ุงู„ lung cancer ูˆ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ ุจูŠุฌูŠ ุนู†ุฏู†ุง ุงู„
136
+
137
+ 35
138
+ 00:03:31,740 --> 00:03:36,740
139
+ colorectal cancer ุจุชู‚ุฑูŠุจุง ุชู…ุซู„ ุนุดุฑุฉ ุจุงู„ู…ูŠุฉ ู…ู†
140
+
141
+ 36
142
+ 00:03:36,740 --> 00:03:40,680
143
+ ุงู„ุญุงู„ุงุช ุจู…ุง
144
+
145
+ 37
146
+ 00:03:40,680 --> 00:03:46,400
147
+ ุชุนู„ู‚ ุจุนุฏุฏ ุงู„ูˆููŠุงุชุนู†ุง ุงู„ู€ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
148
+
149
+ 38
150
+ 00:03:46,400 --> 00:03:52,680
151
+ ุงู„ุฃูˆู„ู‰ ู…ุณุจุจ ุงู„ุฃูˆู„ ู„ู„ูˆููŠุงุช ุจุณุจุจ ุงู„ cancer ูˆุนุฏุฏ
152
+
153
+ 39
154
+ 00:03:52,680 --> 00:03:58,440
155
+ ุงู„ูˆููŠุงุช ุจุณุจุจ ุงู„ lung cancer ุชู‚ุฑูŠุจุง 18.4% ูˆ
156
+
157
+ 40
158
+ 00:03:58,440 --> 00:04:03,710
159
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ุจูŠุฌูŠ ุนู†ุง ุงู„ colonRectum ุฃูˆ ุงู„ู€ Co
160
+
161
+ 41
162
+ 00:04:03,710 --> 00:04:10,210
163
+ -rectal cancer ุจู†ุณุจุฉ 9.2% ุงู„ุชุงู„ุช ุงู„ู€ Stomach ูˆ
164
+
165
+ 42
166
+ 00:04:10,210 --> 00:04:16,830
167
+ ุงู„ุฑุงุจุน ุนู†ุฏู†ุง ุงู„ liver ูˆ ุงู„ breast cancer ุจูŠุฌูŠ
168
+
169
+ 43
170
+ 00:04:16,830 --> 00:04:23,930
171
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ ุจู†ุณุจุฉ ุชู‚ุฑูŠุจุง 6.6% ูŠุจู‚ู‰ ู‡ุฐู‡
172
+
173
+ 44
174
+ 00:04:23,930 --> 00:04:28,830
175
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุนุงู„ู…ูŠุง ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…ู„ูˆ ุฌูŠู†ุง ู†ุญูƒูŠ
176
+
177
+ 45
178
+ 00:04:28,830 --> 00:04:36,670
179
+ ุจุดูƒู„ ุฎุงุต ุนู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ูˆุจู†ุงุก ุนู„ู‰ ุชู‚ุฑูŠุฑ ุชู…
180
+
181
+ 46
182
+ 00:04:36,670 --> 00:04:41,510
183
+ ุฅุนุฏุงุฏู‡ ููŠ ุงู„ุนุงู… 2016 Cancer Incidence in the Gaza
184
+
185
+ 47
186
+ 00:04:41,510 --> 00:04:48,990
187
+ Strip Facts and Figures 2015 to 2016 ุฃู† ุงู„ู€Table
188
+
189
+ 48
190
+ 00:04:48,990 --> 00:04:54,990
191
+ ุงู„ุฃูˆู„ ุจูŠู…ุซู„ ุงู„ incidence rate ู„ูƒู„ 100 ุฃู„ู ุดุฎุต ูˆุฒูŠ
192
+
193
+ 49
194
+ 00:04:54,990 --> 00:05:03,470
195
+ ู…ุง ุฃุญู†ุง ุดุงูŠููŠู† ุฃู†ู‡ุงู„ุนุฏุฏ ุงู„ุญุงู„ุงุช ุงู„ู…ูƒุชุดูุฉ ูุนู„ูŠู‹ุง ููŠ
196
+
197
+ 50
198
+ 00:05:03,470 --> 00:05:07,730
199
+ ุชุฒุงูŠุฏ ูˆุจุงู„ุชุงู„ูŠ ุงู„ incidence rate ุนู†ุฏู†ุง ููŠ ุชุฒุงูŠุฏ
200
+
201
+ 51
202
+ 00:05:07,730 --> 00:05:15,070
203
+ ูˆูˆุตู„ ุฅู„ู‰ 89 ุญุงู„ุฉ ู„ูƒู„ 100 ุฃู„ู ู†ุณู…ุฉ ููŠ ุงู„ุนุงู… 2016
204
+
205
+ 52
206
+ 00:05:15,070 --> 00:05:18,430
207
+ ุทุจุนู‹ุง
208
+
209
+ 53
210
+ 00:05:18,430 --> 00:05:23,000
211
+ ุงู„ุฃูƒุซุฑ ุฅุตุงุจุฉูŠุนู†ูŠ ู‡ุฐุง ุนุฏุฏ ุงู„ุฅุตุงุจุงุช ุญุณุจ ุงู„ู„ูŠ ู‡ูˆ
212
+
213
+ 54
214
+ 00:05:23,000 --> 00:05:28,980
215
+ ุงู„ูุฆุฉ ุงู„ุนู…ุฑูŠุฉ ูˆุฅู† ุทุจุนุง ูƒู„ ู…ุง ุชู‚ุฏู… ุงู„ุฅู†ุณุงู† ุจุงู„ุณู† ูƒู„
216
+
217
+ 55
218
+ 00:05:28,980 --> 00:05:35,040
219
+ ู…ุง ูƒุงู†ุช ูุฑุตุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุตุงุจุฉ ุจุงู„ cancer ุทุจุนุง ุจุชุฒูŠุฏ
220
+
221
+ 56
222
+ 00:05:37,670 --> 00:05:40,490
223
+ ุฅุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ most common types of cancer
224
+
225
+ 57
226
+ 00:05:40,490 --> 00:05:44,030
227
+ among Gaza population ุญุณุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฏุฑุงุณุฉ ุฒูŠ ู…ุง
228
+
229
+ 58
230
+ 00:05:44,030 --> 00:05:49,330
231
+ ู‚ู„ู†ุง ุงู„ู„ูŠ ุชู…ุช ุจูŠู† ุงู„ุนุงู… 2015 ูˆ 2016 ุฅู† ุงู„ breast
232
+
233
+ 59
234
+ 00:05:49,330 --> 00:05:56,320
235
+ cancer ุจูŠุญุชู„ ุงู„ู…ุฑุชุจุฉ ุงู„ุฃูˆู„ู‰ูˆ ุงู„ colon rectal
236
+
237
+ 60
238
+ 00:05:56,320 --> 00:05:59,800
239
+ cancer ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ leukemia ูˆ ุงู„
240
+
241
+ 61
242
+ 00:05:59,800 --> 00:06:02,940
243
+ lymphoma ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ ูˆ ุงู„ุฑุงุจุนุฉ ูˆ ุงู„ lung
244
+
245
+ 62
246
+ 00:06:02,940 --> 00:06:08,260
247
+ cancer ุจูŠุฌูŠ ุจูŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ ูˆ ุจู…ุง ูŠุชุนู„ู‚
248
+
249
+ 63
250
+ 00:06:08,260 --> 00:06:11,820
251
+ ุจุงู„ูˆุงููŠุงุช
252
+
253
+ 64
254
+ 00:06:11,820 --> 00:06:17,560
255
+ ุจุณุจุจ ุงู„ cancer ุฃู† ุงู„ lung ุงู„ุณุจุจ ุงู„ุฃูˆู„ ุงู„ colon
256
+
257
+ 65
258
+ 00:06:17,560 --> 00:06:21,820
259
+ ุงู„ุชุงู†ูŠ ูˆ ุงู„ breast ุจูŠุฌูŠ ุจูŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ
260
+
261
+ 66
262
+ 00:06:24,110 --> 00:06:29,170
263
+ ุฃูŠุถุงู‹ ูƒุงู† ููŠู†ุง ุชู‚ุฑูŠุฑ ุณุงุจู‚ ู„ู„ุณุฑุทุงู† ููŠ ู‚ุทุงุน ุบุฒุฉ
264
+
265
+ 67
266
+ 00:06:29,170 --> 00:06:35,710
267
+ ูˆุงู„ู„ูŠ ุดู…ู„ ุงู„ุฃุนูˆุงู… ู…ู† 2009 ุฅู„ู‰ 2014 ูˆููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
268
+
269
+ 68
270
+ 00:06:35,710 --> 00:06:42,010
271
+ ูŠุนู†ูŠ ุจูŠู‘ู† ูƒูŠู ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู‚ุงุฑู†ุฉ ุจุงู„ุจู„ุฏุงู†
272
+
273
+ 69
274
+ 00:06:42,010 --> 00:06:48,230
275
+ ุงู„ู…ุฌุงูˆุฑุฉ ูˆ ุงู„ graph ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ incidence
276
+
277
+ 70
278
+ 00:06:48,230 --> 00:06:52,940
279
+ rateู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€
280
+
281
+ 71
282
+ 00:06:52,940 --> 00:06:57,520
283
+ incidence rate ู„ู€ 149 ู„ูƒู„ 100 ุฃู„ู ูˆุทุจุนุง ูŠุนู†ูŠ ุฒูŠ ู…ุง
284
+
285
+ 72
286
+ 00:06:57,520 --> 00:07:00,680
287
+ ุฃู‚ูˆู„ ููŠ ุงู„ุจู„ุฏุงู† ุงู„ุฃุฎุฑู‰ ููŠ ุฃู† ุจู„ุงุฏ ุงู„ incidence
288
+
289
+ 73
290
+ 00:07:00,680 --> 00:07:04,260
291
+ rate ุฃุนู„ู‰ ู…ู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ู„ูƒู† ุจุฑุถู‡ ุจุงู„ู…ู‚ุงุจู„
292
+
293
+ 74
294
+ 00:07:04,260 --> 00:07:09,460
295
+ ููŠ ุฃู† ุจุนุถ ุงู„ุจู„ุงุฏ ุงู„ incidence rate ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุงู„
296
+
297
+ 75
298
+ 00:07:09,460 --> 00:07:11,100
299
+ incidence rate ููŠ ู‚ุทุงุน ุบุฒุฉ
300
+
301
+ 76
302
+ 00:07:14,930 --> 00:07:18,550
303
+ ุงู„ุงู† ุงุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ incidence rate ุจุฑุถู‡ ูˆ
304
+
305
+ 77
306
+ 00:07:18,550 --> 00:07:24,550
307
+ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ุชุนู„ู‚ ุจุงู„ females ูู‚ุท ุงู‡ ูŠุนู†ูŠ
308
+
309
+ 78
310
+ 00:07:24,550 --> 00:07:29,550
311
+ ุจุชู„ุงู‚ูŠ ุงู†ู‡ ุตุงุฑุช ุงู„ู„ูŠ ู‡ูˆ ุบุฒุฉ ููŠ ู…ูˆู‚ุน ุดูˆูŠุฉ ู…ุชู‚ุฏู… ุจู…ุง
312
+
313
+ 79
314
+ 00:07:29,550 --> 00:07:37,530
315
+ ุชุนู„ู‚ ุจุงู„ incidence rate ููŠ ุงู„ females ูู‚ุท ุทูŠุจ
316
+
317
+ 80
318
+ 00:07:37,530 --> 00:07:43,980
319
+ ู‡ุฐู‡ ูƒุงู†ุช ูŠุนู†ูŠ ู…ู‚ุฏู…ุฉุจุณูŠุทุฉ ุนู† ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ ุจุชุชุนู„ู‚
320
+
321
+ 81
322
+ 00:07:43,980 --> 00:07:49,560
323
+ ุจุงู„ุณุฑุทุงู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู… ูˆู‡ูŠ ุฃูŠุถุง ููŠ ู‚ุทุงุน ุบุฒุฉ
324
+
325
+ 82
326
+ 00:07:49,560 --> 00:07:54,640
327
+ ุจุดูƒู„ ุฎุงุต understand
328
+
329
+ 83
330
+ 00:07:54,640 --> 00:08:00,860
331
+ the disease effective therapies ุนุดุงู† ูุนู„ูŠุง ู†ูƒูˆู†
332
+
333
+ 84
334
+ 00:08:00,860 --> 00:08:09,540
335
+ ู‚ุงุฏุฑูŠู† ุนู„ู‰ ุฅูŠุฌุงุฏ ุนู„ุงุฌ ู„ู„ุณุฑุทุงู†ู„ุงุฒู… ุจุฏุงูŠุฉ ุชู… ูู‡ู…
336
+
337
+ 85
338
+ 00:08:09,540 --> 00:08:16,620
339
+ ุงู„ู…ุฑุถ ูŠุนู†ูŠ ุจุดูƒู„ ุตุญูŠุญ ูˆุจุดูƒู„ ุนู…ูŠู‚ there is a need to
340
+
341
+ 86
342
+ 00:08:16,620 --> 00:08:19,840
343
+ understand the disease and to translate our
344
+
345
+ 87
346
+ 00:08:19,840 --> 00:08:23,700
347
+ knowledge into effective therapies ู„ุฃู† ุฅุฐุง ูƒุงู†
348
+
349
+ 88
350
+ 00:08:23,700 --> 00:08:26,800
351
+ ุฅุญู†ุง ู…ุงุนุฑูู†ุงุด ุงู„ู…ุฑุถ ุจุดูƒู„ ุตุญูŠุญ ู…ุงุนุฑูู†ุงุด ุงู„
352
+
353
+ 89
354
+ 00:08:26,800 --> 00:08:32,160
355
+ molecular mechanisms ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุชูƒูˆู† ุฅู† ุงู„
356
+
357
+ 90
358
+ 00:08:32,160 --> 00:08:38,500
359
+ cancer ูŠุจู‚ู‰ ุนุดุงู†ุฅู† ุญุงุฑุจ ุงู„ู€ cancer ู‡ูŠูƒูˆู† ุงู„ุฃู…ุฑ ุตุนุจ
360
+
361
+ 91
362
+ 00:08:38,500 --> 00:08:43,060
363
+ In order to understand the process of
364
+
365
+ 92
366
+ 00:08:43,060 --> 00:08:45,700
367
+ carcinogenesis whereby a normal cell is
368
+
369
+ 93
370
+ 00:08:45,700 --> 00:08:49,540
371
+ transformed into a cancer cell, we must know the
372
+
373
+ 94
374
+ 00:08:49,540 --> 00:08:53,300
375
+ details of cell function and the molecular
376
+
377
+ 95
378
+ 00:08:53,300 --> 00:08:58,570
379
+ pathways that underlie itู…ุนุฑูุฉ ุงู„ุชูุงุตูŠู„
380
+
381
+ 96
382
+ 00:08:58,570 --> 00:09:03,150
383
+ ุงู„ู…ูˆู„ูŠูƒุงู„ูŠุฉ ููŠ ุทุฑู‚ูŠู† ู…ู‡ู…ุฉ ูˆุจูŠูˆ ูƒูŠู…ูŠุงุฆูŠุฉ ูŠู…ูƒู†
384
+
385
+ 97
386
+ 00:09:03,150 --> 00:09:07,070
387
+ ุชุทุจูŠู‚ู‡ุง ู„ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ู„ุชุทุจูŠู‚ ูƒุงู†ุณุฑ ุซุฑูŠุจุณ ูˆู‡ุฐุง ุงู„ูู‡ู…
388
+
389
+ 98
390
+ 00:09:07,070 --> 00:09:15,430
391
+ ู‡ูˆ ูุนู„ูŠู‹ุง ุงู„ู„ูŠ ู…ู…ูƒู† ูŠู‚ูˆุฏ ุฅู„ู‰ ูŠุนู†ูŠ ุนู„ุงุฌุงุช ุฌุฏูŠุฏุฉ ูˆ
392
+
393
+ 99
394
+ 00:09:15,430 --> 00:09:24,680
395
+ ุงู„ู„ูŠ ุชูƒูˆู† safe ูˆ effective ุทูŠุจ ู„ูˆ ุฌูŠู†ุงุญูƒูŠู†ุง ูƒุชุนุฑูŠู
396
+
397
+ 100
398
+ 00:09:24,680 --> 00:09:28,380
399
+ ู„ู€ Cancer Cancer is a group of diseases
400
+
401
+ 101
402
+ 00:09:28,380 --> 00:09:33,500
403
+ characterized by unregulated cell growth ูŠุนู†ูŠ ููŠู‡
404
+
405
+ 102
406
+ 00:09:33,500 --> 00:09:39,740
407
+ ุนุฏู… ุงู„ุชุญูƒู… ููŠ ุงู„ proliferation ู„ู„ุฎู„ุงูŠุง ูˆ ุจุงู„ุงุถุงูุฉ
408
+
409
+ 103
410
+ 00:09:39,740 --> 00:09:44,220
411
+ ู„ู„ invasion ุงู„ู„ู‰ ุจุชู‚ูˆู… ููŠ ุงู„ cancer cells ูˆ ุงู„ู„ู‰
412
+
413
+ 104
414
+ 00:09:44,220 --> 00:09:54,760
415
+ ุจุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ ู…ู† ุงู„ primary site ุฅู„ู‰ุฃู…ุงูƒู† ุฃุฎุฑู‰ ูˆ
416
+
417
+ 105
418
+ 00:09:54,760 --> 00:09:57,380
419
+ ุงู„ู„ูŠ ุจูŠุณู…ู‰ ุจูŠู‡ ุงู„ metastasis
420
+
421
+ 106
422
+ 00:09:59,890 --> 00:10:03,590
423
+ ุงู„ู‚ู†ุตุฑ ูŠุนุชุจุฑ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู…ุนุงู†ุงุช ูˆุงุญู†ุง ุจุงู„ู…ุฌู…ู„
424
+
425
+ 107
426
+ 00:10:03,590 --> 00:10:07,710
427
+ ุจู†ู‚ูˆู„ cancer ู„ูƒู† ู‡ูˆ ูุนู„ูŠุง ู…ุด ู…ุฑุถ ูˆุงุญุฏ ูŠุนู†ูŠ ุฃู†ู‡
428
+
429
+ 108
430
+ 00:10:07,710 --> 00:10:13,510
431
+ ู„ุบุงูŠุฉ ุงู„ุขู† ุชู‚ุฑูŠุจุง over 200 types of cancer has
432
+
433
+ 109
434
+ 00:10:13,510 --> 00:10:17,510
435
+ been classified ูˆู‡ู†ุง ููŠู‡ link ู„ูˆ ุถุบุทูˆุง ุนู„ู‰ ุงู„ link
436
+
437
+ 110
438
+ 00:10:17,510 --> 00:10:22,890
439
+ ู‡ุฐุง ู‡ูŠุงุฎุฏูƒูˆุง ุนู„ู‰ ุตูุญุฉ ู…ู…ูƒู† ุชุดูˆููˆุง ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
440
+
441
+ 111
442
+ 00:10:22,890 --> 00:10:25,890
443
+ ู…ู† ุงู„ cancer ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
444
+
445
+ 112
446
+ 00:10:28,470 --> 00:10:30,710
447
+ The tissue of origin gives the distinguishing
448
+
449
+ 113
450
+ 00:10:30,710 --> 00:10:34,890
451
+ characteristics of the cancer ูŠุจู‚ู‰ ุนู†ุฏู†ุง 200 ู†ูˆุน
452
+
453
+ 114
454
+ 00:10:34,890 --> 00:10:41,090
455
+ ุฃูˆ ุฃูƒุชุฑ ู…ู† 200 ู†ูˆุน ู…ู† ุงู„ cancer ูˆุนู†ุฏู†ุง ุงู„ุฃู†ูˆุงุน
456
+
457
+ 115
458
+ 00:10:41,090 --> 00:10:47,490
459
+ ุงู„ู…ุฎุชู„ูุฉ ุจูŠู…ูŠุฒู‡ุง ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ุนู†ุฏู†ุง ูƒู„ ู†ูˆุน ู…ู†
460
+
461
+ 116
462
+ 00:10:47,490 --> 00:10:53,310
463
+ ุฃู†ูˆุงุน ุงู„ cancer ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ ุนู† ุงู„ู†ูˆุน
464
+
465
+ 117
466
+ 00:10:53,310 --> 00:10:58,900
467
+ ุงู„ุฃุฎุฑุงู„ู€ major types of cancer ู…ู…ูƒู† ู†ู‚ุณู…ู‡ุง ุฅู„ู‰
468
+
469
+ 118
470
+ 00:10:58,900 --> 00:11:04,560
471
+ ุซู„ุงุซ ุฃู‚ุณุงู… ุฅู†ู‡ ุงู„ู€ carcinomas, sarcomas ูˆ ุงู„ู€
472
+
473
+ 119
474
+ 00:11:04,560 --> 00:11:10,600
475
+ hematopoietic cancers ุงู„ู„ูŠ ุจู…ุซู„ ู†ุณุจุฉ ุงู„ุฃูƒุจุฑ ู…ู†
476
+
477
+ 120
478
+ 00:11:10,600 --> 00:11:14,260
479
+ ุงู„ุฃู†ูˆุงุน ู‡ูˆ ุงู„ู€ carcinoma ูˆ ุงู„ู„ูŠ ุจู…ุซู„ 85% of
480
+
481
+ 121
482
+ 00:11:14,260 --> 00:11:19,590
483
+ cancers occur in epithelial cellsูˆุนู†ุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
484
+
485
+ 122
486
+ 00:11:19,590 --> 00:11:23,290
487
+ ู‡ูˆ ุงู„ cancers ุงู„ู„ูŠ ุจุชุตูŠุจ ู„ู€ skin ุฃูˆ ุจุชุตูŠุจ ู„ูŠู‡ ุงู„
488
+
489
+ 123
490
+ 00:11:23,290 --> 00:11:27,290
491
+ covering and lining of organs and internal
492
+
493
+ 124
494
+ 00:11:27,290 --> 00:11:30,610
495
+ passageways ุงู„ู„ูŠ ู‡ูˆ ุงู„ lining ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ lining
496
+
497
+ 125
498
+ 00:11:30,610 --> 00:11:35,710
499
+ ู…ุซู„ุง ู„ู„ู€ gastrointestinal tract ุฃูˆ ู„ู„ูŠู‡ ุงู„ู…ู…ุฑุงุช
500
+
501
+ 126
502
+ 00:11:35,710 --> 00:11:42,690
503
+ ุงู„ู‡ูˆุงุฆูŠุฉ ููŠ ุฅุฑุฆุชูŠู† ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ Sarcomas derived
504
+
505
+ 127
506
+ 00:11:42,690 --> 00:11:48,000
507
+ from mesoderm cellsุฒูŠ ุฃู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ bone ูˆ ุงู„
508
+
509
+ 128
510
+ 00:11:48,000 --> 00:11:53,000
511
+ muscles ูˆ ุจูŠู…ุซู„ ุชู‚ุฑูŠุจุง 2% ูŠุจู‚ู‰ originates in
512
+
513
+ 129
514
+ 00:11:53,000 --> 00:11:56,220
515
+ supportive and connective tissue ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง
516
+
517
+ 130
518
+ 00:11:56,220 --> 00:12:00,140
519
+ ุฃู…ุซู„ุฉ ุงู„ bones ูˆ ุงู„ tendons ูˆ ุงู„ cartilage ูˆ ุงู„
520
+
521
+ 131
522
+ 00:12:00,140 --> 00:12:04,930
523
+ muscle ูˆ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูŠ ู…ุน ุงู„ุชูˆุจูŠูˆุชูƒุนู†ุง
524
+
525
+ 132
526
+ 00:12:04,930 --> 00:12:09,570
527
+ ุงู„ู„ูˆูƒูŠู…ูŠุง ุงู„ู„ูŠ ุจุชู…ุซู„ ุชู‚ุฑูŠุจุง ุฎู…ุณุฉ ุจุงู„ู…ูŠุฉ ูˆ ุงู„ู„ูŠ
528
+
529
+ 133
530
+ 00:12:09,570 --> 00:12:14,430
531
+ ุจุชุตูŠุจ ุงู„ bodies blood forming tissues ูˆุนู†ุง
532
+
533
+ 134
534
+ 00:12:14,430 --> 00:12:19,190
535
+ ุงู„ู„ูŠู…ููˆู…ุฉ ุชู‚ุฑูŠุจุง ุฃุฑุจุนุฉ ุจุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cancer of
536
+
537
+ 135
538
+ 00:12:19,190 --> 00:12:24,530
539
+ lymphoid tissue ุฒูŠ
540
+
541
+ 136
542
+ 00:12:24,530 --> 00:12:28,150
543
+ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู† ุงู„ cancers of different
544
+
545
+ 137
546
+ 00:12:28,150 --> 00:12:33,820
547
+ origins have distinct features ูŠุนู†ูŠ ุญุณุจูˆูŠู† ุงู„ู€
548
+
549
+ 138
550
+ 00:12:33,820 --> 00:12:39,100
551
+ Primary Site ู„ู€ ุงู„ู€ Cancer ููŠู‡ ุฎุตุงุฆุต ู…ู…ูŠุฒุฉ ู„ู‡ุง
552
+
553
+ 139
554
+ 00:12:43,580 --> 00:12:47,300
555
+ ุฅู† ุงู„ู€ skin cancer has many characteristics that
556
+
557
+ 140
558
+ 00:12:47,300 --> 00:12:53,040
559
+ differ from lung cancer ูŠุจู‚ู‰ ุงู„ุฎุตุงุฆุต ูุนู„ูŠู‹ุง ู…ุฎุชู„ูุฉ
560
+
561
+ 141
562
+ 00:12:53,040 --> 00:12:57,900
563
+ ู„ู„ู€ skin cancer ุนู† ุงู„ lung cancer the major factor
564
+
565
+ 142
566
+ 00:12:57,900 --> 00:13:00,260
567
+ that causes cancer in each target tissue is
568
+
569
+ 143
570
+ 00:13:00,260 --> 00:13:04,260
571
+ different ูŠุจู‚ู‰ ุงู„ู…ุณุจุจ ูƒู…ุงู† ู…ุฎุชู„ู ูŠุนู†ูŠ ุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ
572
+
573
+ 144
574
+ 00:13:04,260 --> 00:13:08,280
575
+ ุนู† ู…ู…ูƒู† ุงู„ู…ุณุจุจ ู„ู„ skin cancer ููŠ ุนู†ุฏู†ุง ุงู„
576
+
577
+ 145
578
+ 00:13:08,280 --> 00:13:15,180
579
+ ultraviolet radiation from the sunุจูŠู†ู…ุง ุจุงู„ู†ุณุจุฉ
580
+
581
+ 146
582
+ 00:13:15,180 --> 00:13:19,260
583
+ ู„ู„ู…ุณุจุจ ุงู„ุฃุณุงุณูŠ ุงู„ู„ู‰ ุงู„ lung cancer inhalation of
584
+
585
+ 147
586
+ 00:13:19,260 --> 00:13:23,320
587
+ cigarette smoke ุฃูˆ ู…ู…ูƒู† ูŠุนู†ูŠ ุงู„ carcinogenic
588
+
589
+ 148
590
+ 00:13:23,320 --> 00:13:30,410
591
+ chemicals ุงู„ุฃุฎุฑู‰ ุงู„ู…ุฎุชู„ูุฉุฃูŠุถู‹ุง ู„ู…ุง ุจู†ุงู†ูŠุด ู†ุญูƒูŠ ุนู„ู‰
592
+
593
+ 149
594
+ 00:13:30,410 --> 00:13:35,830
595
+ ุงู„ุงุฎุชู„ุงูุงุช ุฃุฏู‰ molecular mechanisms ูˆ ุงู„ molecular
596
+
597
+ 150
598
+ 00:13:35,830 --> 00:13:41,130
599
+ mechanisms ุงู„ู„ูŠ ุฃุฏุช ุฅู„ู‰ ุญุฏูˆุซ ุงู„ ุงู„ cancer ูˆ ุงู„
600
+
601
+ 151
602
+ 00:13:41,130 --> 00:13:45,770
603
+ spread ุจุฑุถู‡ ููŠ ู‡ู†ุง ุฅู† ู‡ู†ุงูƒ ุงุฎุชู„ุงูุงุช ุจู…ุง ูŠุชุนู„ู‚
604
+
605
+ 152
606
+ 00:13:45,770 --> 00:13:49,570
607
+ ุจู‡ุฏูˆู„ ุงู„ุนู…ู„ูŠุชูŠู† ุณูˆุงุก ุงู„ู„ูŠ ู‡ูˆ ุงู„ mechanisms ู„ ุงู„
608
+
609
+ 153
610
+ 00:13:49,570 --> 00:13:54,250
611
+ carcinogenesis ุฃูˆ ุงู„ metastases ุฃูˆ ุงู„ spread ู„
612
+
613
+ 154
614
+ 00:13:54,250 --> 00:14:00,010
615
+ other sitesูˆุจุงู„ุชุงู„ูŠ ู…ุง ุฒุงู„ ุงู„ู€ molecular mechanism
616
+
617
+ 155
618
+ 00:14:00,010 --> 00:14:05,790
619
+ ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ูƒู…ุงู† ู„ู„ treatment ูˆุงุณุชู‡ุฏุงู ุงู„ cancers
620
+
621
+ 156
622
+ 00:14:05,790 --> 00:14:19,590
623
+ ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ุจูŠุชุทู„ุจ ุงุณุชุฑุงุชูŠุฌูŠุงุช ู…ุฎุชู„ูุฉ ุทูŠุจุŒ
624
+
625
+ 157
626
+ 00:14:19,590 --> 00:14:23,190
627
+ ุนู†ุฏู†ุง ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ the whole
628
+
629
+ 158
630
+ 00:14:23,190 --> 00:14:24,770
631
+ marks of cancer
632
+
633
+ 159
634
+ 00:14:28,000 --> 00:14:29,300
635
+ ุจุงู„ุชุงู„ูŠุŒ ุญุชู‰ ู„ูˆ ุฃุณุงุณ ุงู„ุฃุณุงุณุงุช ุงู„ู‡ูˆุงุฆูŠุฉ
636
+
637
+ 160
638
+ 00:14:29,300 --> 00:14:34,840
639
+ ูˆุงู„ู…ูˆู„ูŠูƒุงู„ูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ู…ุฎุชู„ูุฉุŒ ู†ุชูŠุฌุฉ ุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ
640
+
641
+ 161
642
+ 00:14:34,840 --> 00:14:40,180
643
+ ู†ูุณู‡ุง. ูŠุจู‚ู‰ ุฃู†ู†ุง ุงุชูู‚ู†ุง ุฃู† ุงู„ู€ mechanisms ู…ู…ูƒู†
644
+
645
+ 162
646
+ 00:14:40,180 --> 00:14:43,960
647
+ ุงู„ู„ูŠ ู‡ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ ุงู„ู€ cancerุŒ ุงู„ mechanisms
648
+
649
+ 163
650
+ 00:14:43,960 --> 00:14:53,280
651
+ ู…ุฎุชู„ูุฉุŒ ู„ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ุงู„ู†ุชูŠุฌุฉ ู„ู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ
652
+
653
+ 164
654
+ 00:14:53,280 --> 00:15:01,330
655
+ ู†ุชูŠุฌุฉ ูˆุงุญุฏุฉ.ูˆู‡ุฐุง ุงู„ู€ figure ุจูŠูˆุถู‘ุญ ู„ู†ุง ุงู„ู€ whole
656
+
657
+ 165
658
+ 00:15:01,330 --> 00:15:10,210
659
+ marks of cancer ู„ุฏูŠู†ุง ุงู„ุฎุงุตูŠุฉ ุงู„ุฃูˆู„ู‰ Growth Signal
660
+
661
+ 166
662
+ 00:15:10,210 --> 00:15:15,550
663
+ Autonomy ู‡ุฏูˆู„ ู‡ู†ุฐูƒุฑู‡ู… ู„ุฃู†ู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ู… ุงู„ุขู†
664
+
665
+ 167
666
+ 00:15:15,550 --> 00:15:21,650
667
+ ุจุงู„ุชูุตูŠู„ ุดูˆูŠุฉ ูŠุจู‚ู‰ Growth Signal Autonomy Invasion
668
+
669
+ 168
670
+ 00:15:21,650 --> 00:15:27,680
671
+ of Growth Inhibitory SignalsููŠ ุนู†ุฏู†ุง Invasion of
672
+
673
+ 169
674
+ 00:15:27,680 --> 00:15:32,500
675
+ cell death Unlimited replicative potential
676
+
677
+ 170
678
+ 00:15:32,500 --> 00:15:40,180
679
+ Angiogenesis ูˆ Invasion and metastasis ูˆู‡ุฏูˆู„ ู…ู…ูƒู†
680
+
681
+ 171
682
+ 00:15:40,180 --> 00:15:46,360
683
+ ู†ุณู…ูŠู‡ู… ุฃูŠุถุง essential for carcinogenesis ุจูŠุฏูˆู„
684
+
685
+ 172
686
+ 00:15:46,360 --> 00:15:52,260
687
+ ุฎุตุงุฆุต ู…ู‡ู…ุฉ ู„ุชูƒูˆูŠู† ุฃูŠ cancer ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุตุงุฆุต ุงู„ุณุชุฉ
688
+
689
+ 173
690
+ 00:15:52,260 --> 00:15:59,210
691
+ ู‡ุฏูˆู„ุงู„ุงู† ููŠ ุนู†ุฏู†ุง ุฎุงุตูŠุชูŠู† ุชุงู†ูŠู† ู‡ุฏูˆู„ ู…ู…ูƒู† ู†ุณู…ูŠู‡ู…
692
+
693
+ 174
694
+ 00:15:59,210 --> 00:16:03,810
695
+ enabling characteristics ูˆ enabling
696
+
697
+ 175
698
+ 00:16:03,810 --> 00:16:11,590
699
+ characteristics ูŠุนู†ูŠ ุฎุตุงุฆุต ุชู…ูƒูŠู†ูŠุฉ it enable the
700
+
701
+ 176
702
+ 00:16:11,590 --> 00:16:19,210
703
+ whole marks to happen ุนุดุงู† ุชุญุตู„ ุงู„ 6 marks ู‡ุฏูˆู„
704
+
705
+ 177
706
+ 00:16:19,210 --> 00:16:28,340
707
+ ุจุฏุงูŠุฉ ู„ุงุจุฏ ู…ู† ุญุตูˆู„ู‡ุฏูˆู„ ุงู„ marks ุนุงู‚ุจู‰ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
708
+
709
+ 178
710
+ 00:16:28,340 --> 00:16:33,260
711
+ enabling characteristics ุงู„ู„ู‰ ุชุนุชุจุฑ ุญุงุณู…ุฉ ุงู„ุงูƒุชุณุงุจ
712
+
713
+ 179
714
+ 00:16:33,260 --> 00:16:39,540
715
+ ุงู„ุณู…ุงุฏู‡ ุงู„ู…ู…ูŠุฒู‡ ุงู„ุณุชู‡ ู„ู„ุณุฑุทุงู† ูู‰ ุฃู†ู†ุง ู…ูŠุฒุชูŠู†
716
+
717
+ 180
718
+ 00:16:39,540 --> 00:16:46,940
719
+ ุชุงู†ูŠูŠู† ุงู„ู„ู‰ ุจูŠุทู„ู‚ ุนู„ูŠู‡ู… emerging hall marks ูˆุนู†ุง
720
+
721
+ 181
722
+ 00:16:46,940 --> 00:16:48,840
723
+ ุงู„ emerging hall marks
724
+
725
+ 182
726
+ 00:16:51,770 --> 00:16:56,890
727
+ ูŠุนู†ูŠ ุชู… ุชุณู…ูŠุชู‡ู… ุจู‡ุฐุง ุงู„ุงุณู… Emerging Hallmarks
728
+
729
+ 183
730
+ 00:16:56,890 --> 00:17:00,190
731
+ because their relationship to the established six
732
+
733
+ 184
734
+ 00:17:00,190 --> 00:17:03,170
735
+ hallmarks mentioned previously required further
736
+
737
+ 185
738
+ 00:17:03,170 --> 00:17:08,590
739
+ research ุฃุบู„ู‚ ุงู„ู€ Emerging ูŠุนู†ูŠ ู„ุณู‡ ูŠุนู†ูŠ ู†ูˆุนู‹ุง ู…ุง
740
+
741
+ 186
742
+ 00:17:08,590 --> 00:17:13,230
743
+ ุฅุฌุฏุงุฏ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ุจู†ุญุชุงุฌ ุฅู„ู‰ more research ุนุดุงู†
744
+
745
+ 187
746
+ 00:17:13,230 --> 00:17:19,230
747
+ ูŠุตูŠุฑ ููŠู‡ ุฃู†ู†ุง ูู‡ู… ูŠุนู†ูŠ ุฃูƒุจุฑ ูˆุฃุนู…ู‚ ู„ู‡ุฏูˆู„ ุงู„ุฎุงุตูŠุชูŠู†
748
+
749
+ 188
750
+ 00:17:19,720 --> 00:17:23,980
751
+ ูŠุจูŠู‡ ู‡ุฏูˆู„ ุงู„ุฎุตุงุฆุต ุงู„ู…ุฎุชู„ูุฉ ู‚ู„ู†ุง ุงู„ู€ Essential for
752
+
753
+ 189
754
+ 00:17:23,980 --> 00:17:27,140
755
+ carcinogenesis ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุชุฉ ุงู„ู‡ูˆู„ู…ุงุฑูƒุณ ูˆููŠู‡ ุนู†ุฏู†ุง
756
+
757
+ 190
758
+ 00:17:27,140 --> 00:17:30,740
759
+ ุงู„ enabling characteristics ู„ู…ุง ู‡ุฏูˆู„ ุจูŠู…ูƒู†ูˆุง ุงู„ุณุชุฉ
760
+
761
+ 191
762
+ 00:17:30,740 --> 00:17:34,660
763
+ characteristics ุฃู†ู‡ู… ุตูŠ๏ฟฝ๏ฟฝูˆุง ูˆุนู†ุฏู†ุง ุงู„ imagining
764
+
765
+ 192
766
+ 00:17:34,660 --> 00:17:37,700
767
+ hallmarks ุงู„ู„ูŠ ู†ูˆุนุง ู…ุง ูŠุนุชุจุฑูˆุง ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง
768
+
769
+ 193
770
+ 00:17:37,700 --> 00:17:42,480
771
+ ุญุฏูŠุซูŠู† ูˆุจุงู„ุชุงู„ูŠ ุจูŠุญุชุงุฌูˆุง ุฅู„ู‰ more research ูŠุนู†ูŠ
772
+
773
+ 194
774
+ 00:17:42,480 --> 00:17:50,210
775
+ ุนุดุงู† ูŠุตูŠุฑ ุนู†ุฏู†ุง ูู‡ู… ุฃูƒุจุฑ ู„ู‡ู…ุทูŠุจ ุงู„ enabling
776
+
777
+ 195
778
+ 00:17:50,210 --> 00:17:55,730
779
+ characteristics ููŠ ุนู†ุฏู†ุง ุงู„ genome instability and
780
+
781
+ 196
782
+ 00:17:55,730 --> 00:18:00,490
783
+ mutations ูŠุนู†ูŠ ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุงุงู„ู€ cancer ุฒูŠ ู…ุง
784
+
785
+ 197
786
+ 00:18:00,490 --> 00:18:05,490
787
+ ู‡ู†ุดูˆู ุฎู„ุงู„ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ุจุฏ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
788
+
789
+ 198
790
+ 00:18:05,490 --> 00:18:09,450
791
+ genome instability ุจุฏ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutations ููŠ
792
+
793
+ 199
794
+ 00:18:09,450 --> 00:18:14,450
795
+ ุฌูŠู†ุงุช ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ oncogenes ููŠ ุนู†ุฏู†ุง
796
+
797
+ 200
798
+ 00:18:14,450 --> 00:18:17,930
799
+ ู…ู…ูƒู† ูŠุตูŠุฑ ุจุงู„ูŠ tumor suppressor genes ูˆู‡ุฐู‡ ู‡ู†ุดูˆู
800
+
801
+ 201
802
+ 00:18:17,930 --> 00:18:21,630
803
+ ุทุจุนุง ุจุฑุถู‡ ูŠุนู†ูŠ ู„ู…ุง ู†ุญูƒูŠ ุจุงู„ุชูุตูŠู„ ุจุงู„ู…ุญุงุถุฑุงุช
804
+
805
+ 202
806
+ 00:18:21,630 --> 00:18:27,460
807
+ ุงู„ู…ุฎุชู„ูุฉ ู‡ู†ุดูˆู ูƒูŠู ุจุงู„ู†ู‡ุงูŠุฉ ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซุงู„ู€
808
+
809
+ 203
810
+ 00:18:27,460 --> 00:18:30,720
811
+ cancer ูˆ ุจุชู‚ุฏูŠ ุฅู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ hallmarks ุงู„ู„ูŠ ู‡ูŠ
812
+
813
+ 204
814
+ 00:18:30,720 --> 00:18:34,660
815
+ ุงู„ุณุชุฉ hallmarks ู‡ุฐู‡ of cancer ูุงู„ุชุบูŠุฑุงุช ุงู„ู„ูŠ ู‡ุชุตูŠุฑ
816
+
817
+ 205
818
+ 00:18:34,660 --> 00:18:40,900
819
+ ู‡ุงู† ุชู…ุงู… ู‡ูŠ ุงู„ู„ูŠ ู‡ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ ุงู„ุฎุตุงุฆุต ุงู„ู…ุฎุชู„ูุฉ
820
+
821
+ 206
822
+ 00:18:40,900 --> 00:18:47,380
823
+ ุงู„ู„ูŠ ุจุชู…ูŠุฒ ุงู„ cancer ุฃูŠุถุง ุนู†ุฏู†ุง ู…ู† ุงู„ enabling
824
+
825
+ 207
826
+ 00:18:47,380 --> 00:18:50,460
827
+ characteristics ุงู„ู„ูŠ ู‡ูŠ tumor promoting
828
+
829
+ 208
830
+ 00:18:50,460 --> 00:18:56,790
831
+ inflammationุงู„ู…ูุฑูˆุถ ูˆุงู„ู…ุชูˆู‚ุน ุฃู†ู‡ ู„ู…ุง ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡
832
+
833
+ 209
834
+ 00:18:56,790 --> 00:19:02,670
835
+ inflammation ุชู…ุงู… ู‡ูˆ ุงู„ ูŠุนู†ูŠ ู…ู† ุฎู„ุงู„ ุงู„
836
+
837
+ 210
838
+ 00:19:02,670 --> 00:19:07,210
839
+ inflammation ุงู„ body is trying to get rid of the
840
+
841
+ 211
842
+ 00:19:07,210 --> 00:19:11,290
843
+ cancer ุงู‡ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง inflammation ู„ุฃู†ู‡ ุงู„ุฌุณู…
844
+
845
+ 212
846
+ 00:19:11,290 --> 00:19:15,580
847
+ ู…ู† ุฎู„ุงู„ ุงู„ inflammation ู…ู…ูƒู† ุจูŠุญุงุฑุจุจุญุงุฑุจ ุงู„ุจูƒุชูŠุฑูŠุง
848
+
849
+ 213
850
+ 00:19:15,580 --> 00:19:19,020
851
+ ู…ู…ูƒู† ุจุญุงุฑุจ ุงู„ุฎู„ุงูŠุง ุงู„ู€ foreign cells ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
852
+
853
+ 214
854
+ 00:19:19,020 --> 00:19:25,100
855
+ cancer ู„ูƒู† ุงู„ู„ูŠ ุชู… ุงูƒุชุดุงูู‡ ุงู†ู‡ ุงู„ inflammation ู‡ุฐู‡
856
+
857
+ 215
858
+ 00:19:25,100 --> 00:19:30,740
859
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ุจูŠู† ุทุจุนุง ุงู„ chronic inflammation ูˆ
860
+
861
+ 216
862
+ 00:19:30,740 --> 00:19:36,020
863
+ ุจูŠู† ุญุฏูˆุซ ุงู„ cancer ูˆ ู…ู† ุงู„ู…ุซุงู„ูŠู† ุงูˆ ููŠ ู…ุซุงู„ูŠู† ูŠุนู†ูŠ
864
+
865
+ 217
866
+ 00:19:36,020 --> 00:19:39,960
867
+ ู…ู† ุฎู„ุงู„ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุฑุถู‡ ุฏุฑุงุณุชู†ุง ู‡ู†ุชุฑู‚ู„ู‡ู… ุงู„ู„ูŠ ู‡ูˆ
868
+
869
+ 218
870
+ 00:19:39,960 --> 00:19:43,500
871
+ ุงู„ helicobacter pylori ูˆ ุงู„ hepatitis B
872
+
873
+ 219
874
+ 00:19:46,020 --> 00:19:51,540
875
+ ุทูŠุจุŒ ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€Emerging Hallmarks ููŠู‡
876
+
877
+ 220
878
+ 00:19:51,540 --> 00:19:55,560
879
+ ุฃู†ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Reprogramming Energy Metabolism
880
+
881
+ 221
882
+ 00:19:55,560 --> 00:20:00,320
883
+ ูˆุงู„ู„ูŠ ุงุญู†ุง ุนุงุฑููŠู†ู‡ ูŠุจู‚ู‰ ู‡ู† ุจูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ุง ุฒูŠ ุฅุนุงุฏุฉ
884
+
885
+ 222
886
+ 00:20:00,320 --> 00:20:06,320
887
+ ุจุฑู…ุฌุฉ ู„ู„ุทุงู‚ุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุฌุณู… ุงู„ู€cancer cells
888
+
889
+ 223
890
+ 00:20:06,320 --> 00:20:12,940
891
+ ุจุชุญุชุงุฌ ุฅู„ู‰ ุทุงู‚ุฉ ุจุดูƒู„ ูƒุจูŠุฑ ุนุดุงู† ุชุณุชู…ุฑ ุฃูˆ ุชุณุชู…ุฑ
892
+
893
+ 224
894
+ 00:20:12,940 --> 00:20:18,570
895
+ ุงู„ุฎู„ุงูŠุง ุจู€proliferationูˆุงู„ู€ Cancer ุจูŠุญุตู„ ุนู„ู‰
896
+
897
+ 225
898
+ 00:20:18,570 --> 00:20:23,110
899
+ ุงู„ุทุงู‚ุฉ ุญุชู‰ ููŠ ูˆุฌูˆุฏ Hypoxia ูŠุจู‚ู‰ ุญุชู‰ ููŠ ูˆุฌูˆุฏ ู†ู‚ุต ููŠ
900
+
901
+ 226
902
+ 00:20:23,110 --> 00:20:29,050
903
+ ุงู„ Oxygen ู…ู…ูƒู† ุงู„ cancer cells ุชุญุตู„ ุนู„ู‰ ุงู„ุทุงู‚ุฉ ูˆ
904
+
905
+ 227
906
+ 00:20:29,050 --> 00:20:32,950
907
+ ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู…ู† ุฎู„ุงู„ ุทุจุนุง ุงู„ anaerobic glycosis
908
+
909
+ 228
910
+ 00:20:32,950 --> 00:20:37,890
911
+ ุตุญูŠุญ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ู‡ุชุญุตู„ ุนู„ูŠู‡ุง ู‚ู„ูŠู„ุฉ ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ
912
+
913
+ 229
914
+ 00:20:37,890 --> 00:20:43,190
915
+ ุจุชุณุชุฎุฏู…ู‡ุง ุงู„ cancer cells ู„ู„ุญุตูˆู„ ุฃูŠุถุง ุฃูˆ ูŠุนู†ูŠ
916
+
917
+ 230
918
+ 00:20:43,190 --> 00:20:45,430
919
+ ูƒู…ุตุฏุฑ ู„ู„ุทุงู‚ุฉ
920
+
921
+ 231
922
+ 00:20:47,770 --> 00:20:53,450
923
+ ูŠุจู‚ู‰ ุงู„ ุงู„ cancer ุจูŠุญุชุงุฌ ุฅู„ู‰ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู† ุงู„
924
+
925
+ 232
926
+ 00:20:53,450 --> 00:21:04,450
927
+ glucose ูˆู‡ุฐู‡ ุงู„ุฎุงุตูŠุฉ ุณู…ุญุช ุจูŠุนู†ูŠ ุชูƒูˆูŠู† ุทุฑูŠู‚ุฉ
928
+
929
+ 233
930
+ 00:21:04,450 --> 00:21:11,150
931
+ ู…ู…ูƒู† ู„ุงูƒุชุดุงู ูŠุนู†ูŠ ุฃู…ุงูƒู† ุชูˆุงุฌุฏ ุงู„ cancer ุงู„ู„ูŠ ูŠุชุณู…ู‰
932
+
933
+ 234
934
+ 00:21:11,480 --> 00:21:16,240
935
+ Positron emission tomography scan for cancer ูˆ
936
+
937
+ 235
938
+ 00:21:16,240 --> 00:21:19,960
939
+ ุงู„ู„ูŠ ุจูŠูุนุทู‰ ููŠู‡ุง ุงู„ู…ุฑูŠุถ labelled glucose ุจูŠุตูŠุฑ
940
+
941
+ 236
942
+ 00:21:19,960 --> 00:21:24,840
943
+ injection ู„ labelled glucose ููŠ ุงู„ุฌุณู… ูˆ ุทุจุนุง ู‡ุฐุง
944
+
945
+ 237
946
+ 00:21:24,840 --> 00:21:27,980
947
+ ุงู„ glucose ูˆูŠู† ู‡ูŠุช๏ฟฝ๏ฟฝู…ุน ุจูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูˆูŠู†
948
+
949
+ 238
950
+ 00:21:27,980 --> 00:21:31,620
951
+ ููŠู‡ ุนู†ุฏูŠ cancer ู„ุฃู† ุงู„ cancer ุจูŠุญุชุงุฌ ู„ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ
952
+
953
+ 239
954
+ 00:21:31,620 --> 00:21:38,410
955
+ ู…ู† ุงู„ glucoseูˆุจุงู„ุชุงู„ูŠ ู…ู† ุฎู„ุงู„ ุงู„ู€ Tomography Scan
956
+
957
+ 240
958
+ 00:21:38,410 --> 00:21:43,950
959
+ ู…ู…ูƒู† ูŠุชู… ุชุญุฏูŠุฏ ู…ูƒุงู† ุงู„ุชุฌู…ุน ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู† ุงู„ู€
960
+
961
+ 241
962
+ 00:21:43,950 --> 00:21:49,970
963
+ Glucose ูˆุจุงู„ุชุงู„ูŠ ู…ูƒุงู† ุงู„ู€ Cancer ุฃูŠุถู‹ุง ู…ู† ุงู„ู€
964
+
965
+ 242
966
+ 00:21:49,970 --> 00:21:54,770
967
+ Emerging Hallmarks ููŠ ุนู†ุฏู†ุง ุงู„ู€ Avoiding Immune
968
+
969
+ 243
970
+ 00:21:54,770 --> 00:22:03,160
971
+ Destruction ูƒูŠู ุงู„ู€ Cancer Cellsุจุชุชุฌู†ุจ ุงู†ู‡ ุงุชู…
972
+
973
+ 244
974
+ 00:22:03,160 --> 00:22:08,300
975
+ ุงู„ุชุนุฑู ุนู„ูŠู‡ุง ูˆ ุงุชู… ุชุฏู…ูŠุฑู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ
976
+
977
+ 245
978
+ 00:22:08,300 --> 00:22:13,720
979
+ ู„ุฃู†ู‡ ุจุงู„ุงุณุงุณ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง ุงูŠ ุชุบูŠุฑ ููŠ ุฎู„ูŠุฉ
980
+
981
+ 246
982
+ 00:22:13,720 --> 00:22:18,160
983
+ ุงู„ู…ูุฑูˆุถ ุงู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ ูŠุชุนุฑู ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆ
984
+
985
+ 247
986
+ 00:22:18,160 --> 00:22:23,480
987
+ ูŠุนู…ู„ ุนู„ู‰ ุชุฏู…ูŠุฑู‡ุงูŠุจู‚ู‰ ูƒูŠู ู…ู…ูƒู† ู†ุตูŠุฑ ููŠู‡ ุฃู†ู†ุง
988
+
989
+ 248
990
+ 00:22:23,480 --> 00:22:27,280
991
+ Avoiding ู„ู„ู€immune system ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€immune
992
+
993
+ 249
994
+ 00:22:27,280 --> 00:22:31,820
995
+ destruction ู‡ุฐู‡ ุชุนุชุจุฑ ู…ู† ุงู„ emerging hallmarks ูˆุฒูŠ
996
+
997
+ 250
998
+ 00:22:31,820 --> 00:22:37,600
999
+ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ุจุชุญุชุงุฌ more research ุทูŠุจุŒ ู‡ู†ุญูƒูŠ ุงู„ุขู†
1000
+
1001
+ 251
1002
+ 00:22:37,600 --> 00:22:44,460
1003
+ ุนู„ู‰ ุงู„ hallmarks ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุชุฉ ูŠุนู†ูŠ ุจุชูุตูŠู„ ุดูˆูŠุฉ ูˆ
1004
+
1005
+ 252
1006
+ 00:22:44,460 --> 00:22:50,950
1007
+ ู‡ู†ุจุฏุฃ ุจุงู„ู€ Growth Signal AutonomyุทูŠุจุŒ ุงู„ุขู† ุจุดูƒู„
1008
+
1009
+ 253
1010
+ 00:22:50,950 --> 00:22:58,250
1011
+ ุทุจูŠุนูŠ ูˆ ุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง ุงู†ู‚ุณุงู… ู„ ุงู„ุฎู„ูŠุฉ ู„ุงุจุฏ ู…ู†
1012
+
1013
+ 254
1014
+ 00:22:58,250 --> 00:23:04,670
1015
+ ุงุฑุชุจุงุท Growth Factor ุจู€ Receptor ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ cell
1016
+
1017
+ 255
1018
+ 00:23:04,670 --> 00:23:09,910
1019
+ membrane ู„ ุงู„ุฎู„ูŠุฉ ูˆ ุงู„ activation ู„ ู‡ุฐุง ุงู„
1020
+
1021
+ 256
1022
+ 00:23:09,910 --> 00:23:15,970
1023
+ receptor ู‡ูŠุนู…ู„ ุนู„ู‰ ุชูˆู„ูŠุฏ signal ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ
1024
+
1025
+ 257
1026
+ 00:23:15,970 --> 00:23:23,080
1027
+ ุงู„ signal ู‡ุฐู‡ ู‡ูŠุชู… ุชู…ุฑูŠุฑู‡ุงุนุจุฑ ุงู„ู€ cascade ู…ู†
1028
+
1029
+ 258
1030
+ 00:23:23,080 --> 00:23:29,860
1031
+ ุงู„ุจุฑูˆุชูŠู†ุฒ ู„ุบุงูŠุฉ ู…ุง ุชุตู„ ุงู„ signal ุฅู„ู‰ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1032
+
1033
+ 259
1034
+ 00:23:29,860 --> 00:23:34,460
1035
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง activation ู„ู€ transcription factors
1036
+
1037
+ 260
1038
+ 00:23:34,460 --> 00:23:39,360
1039
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุฅู†ุชุงุฌ ู„ุจุฑูˆุชูŠู†ุฒ ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ
1040
+
1041
+ 261
1042
+ 00:23:39,360 --> 00:23:44,140
1043
+ cell cycle ูˆ proliferation ู„ ุงู„ุฎู„ุงูŠุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู„ูŠ
1044
+
1045
+ 262
1046
+ 00:23:44,140 --> 00:23:49,230
1047
+ ุจูŠุตูŠุฑ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ูƒู† ููŠ ุญุงู„ุงู„ุญุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุญุฏูˆุซ ู„ู€
1048
+
1049
+ 263
1050
+ 00:23:49,230 --> 00:23:55,050
1051
+ CancerุŒ ุฅู† ุงู„ู€ Normal Cells ุฃูˆ ููŠ ุญุงู„ ุงู„ู€ CancerุŒ
1052
+
1053
+ 264
1054
+ 00:23:55,050 --> 00:23:57,610
1055
+ Cancer Cells are not dependent on normal growth
1056
+
1057
+ 265
1058
+ 00:23:57,610 --> 00:24:02,810
1059
+ factor signalingูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ู…ุด ู‡ุชุญุชุงุฌ ู„ู‡ ุงู„growth
1060
+
1061
+ 266
1062
+ 00:24:02,810 --> 00:24:06,390
1063
+ factors ุงู„ู„ูŠ ู‡ูˆ ู…ู…ูƒู† ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง
1064
+
1065
+ 267
1066
+ 00:24:06,390 --> 00:24:10,470
1067
+ proliferation ูˆูุนู„ูŠุง ุงู„ growth signal autonomy
1068
+
1069
+ 268
1070
+ 00:24:10,470 --> 00:24:15,650
1071
+ ู…ู…ูƒู† ูŠุตูŠุฑ ุจุฃูƒุชุฑ ู…ู† ุทุฑูŠู‚ุฉ ูˆุงุญุฏุฉ ู…ู† ุงู„ุทุฑู‚ ุฃู† ุงู„
1072
+
1073
+ 269
1074
+ 00:24:15,650 --> 00:24:19,370
1075
+ cancer cells acquire the ability to synthesize and
1076
+
1077
+ 270
1078
+ 00:24:19,370 --> 00:24:23,740
1079
+ secrete their own growth factors ุจู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉุฅู†
1080
+
1081
+ 271
1082
+ 00:24:23,740 --> 00:24:27,660
1083
+ ุงู„ู€ cancer cells ุชู†ุชุฌ ู‡ุงุฏุฆ ู„ู€ Growth Factors ูˆุงู„ู€
1084
+
1085
+ 272
1086
+ 00:24:27,660 --> 00:24:31,940
1087
+ Growth Factors ุชุฑุชุจุท ุจุงู„ู€ Receptors ูˆุชุนุทูŠู†ูŠ Signal
1088
+
1089
+ 273
1090
+ 00:24:31,940 --> 00:24:35,660
1091
+ ู„ู€ Cell Proliferation ุจุฌู‡ุฉ ุฏูŠ ุทุฑูŠู‚ุฉ ุงู„ุทุฑูŠู‚ุฉ
1092
+
1093
+ 274
1094
+ 00:24:35,660 --> 00:24:39,800
1095
+ ุงู„ุชุงู†ูŠุฉ ุฅู†ู‡ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุง ุนุฏุฏ ุงู„ู€ Receptors
1096
+
1097
+ 275
1098
+ 00:24:39,800 --> 00:24:43,520
1099
+ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ู€ Cell Membrane ู„ุงุณุชู‚ุจุงู„ ู„ู€ Growth
1100
+
1101
+ 276
1102
+ 00:24:43,520 --> 00:24:47,280
1103
+ Factors ูˆุจุงู„ุชุงู„ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุญุชู‰ ุงู„ู€ Lower
1104
+
1105
+ 277
1106
+ 00:24:47,280 --> 00:24:50,890
1107
+ Concentrations of Growth Factorsู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1108
+
1109
+ 278
1110
+ 00:24:50,890 --> 00:24:57,710
1111
+ ุงุณุชุฌุงุจุฉ ู„ ุงู„ุฎู„ูŠุฉ ูˆ proliferation ูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ุชุฉ
1112
+
1113
+ 279
1114
+ 00:24:57,710 --> 00:25:02,370
1115
+ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ mutations
1116
+
1117
+ 280
1118
+ 00:25:02,370 --> 00:25:07,890
1119
+ ููŠ ุงู„ proteins ุงู„ู„ูŠ ุจุชู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุงู„ cell
1120
+
1121
+ 281
1122
+ 00:25:07,890 --> 00:25:14,630
1123
+ membrane ุฅู„ู‰ ุฏุงุฎู„ ุงู„ nucleus ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ุงู„ุจุฑูˆุชูŠู†ุงุช
1124
+
1125
+ 282
1126
+ 00:25:14,630 --> 00:25:17,410
1127
+ ู‡ุงุฏ ูŠุตูŠุฑ ู„ activation ููŠ ุญุงู„ ุงุฑุชุจุท ุนู†ุฏู†ุง growth
1128
+
1129
+ 283
1130
+ 00:25:17,410 --> 00:25:21,330
1131
+ factor ู„ุฃ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutations ูˆูŠุตูŠุฑ ููŠ
1132
+
1133
+ 284
1134
+ 00:25:21,330 --> 00:25:24,810
1135
+ ุนู†ุฏู†ุง activation ุณูˆุงุก ู„ู„ receptor ุฃูˆ ู„ ุงู„ proteins
1136
+
1137
+ 285
1138
+ 00:25:24,810 --> 00:25:28,950
1139
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ involved ููŠ ู†ู‚ู„ ุงู„ signal ู„ูˆ ุตุงุฑ ููŠ
1140
+
1141
+ 286
1142
+ 00:25:28,950 --> 00:25:32,290
1143
+ ุนู†ุฏู†ุง mutations ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง always on
1144
+
1145
+ 287
1146
+ 00:25:32,290 --> 00:25:36,570
1147
+ signal ุฃู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง always on signal ูˆูŠุธู„
1148
+
1149
+ 288
1150
+ 00:25:36,570 --> 00:25:41,030
1151
+ ุงู„ุฅุดุงุฑุฉ ู…ูˆุฌูˆุฏุฉ ูˆูŠุธู„ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ activation ู„
1152
+
1153
+ 289
1154
+ 00:25:41,030 --> 00:25:43,260
1155
+ transcription factors ูˆุจุงู„ุชุงู„ูŠุงู„ู€ Cell
1156
+
1157
+ 290
1158
+ 00:25:43,260 --> 00:25:48,680
1159
+ Proliferation ุญุชู‰ ููŠ ุนุฏู… ูˆุฌูˆุฏ Growth Factor ุจุฌุงู†ุจ
1160
+
1161
+ 291
1162
+ 00:25:48,680 --> 00:25:52,000
1163
+ ุงู„ู€ Hallmark ุงู„ุฃูˆู„ู‰ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ุชุณู…ู‰
1164
+
1165
+ 292
1166
+ 00:25:52,000 --> 00:25:56,840
1167
+ Growth Signal Autonomy ู‡ูˆ ุนุฏู… ุงุนุชู…ุงุฏ ุงู„ู€ Cancer
1168
+
1169
+ 293
1170
+ 00:25:56,840 --> 00:26:02,560
1171
+ Cells ุนู„ู‰ ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ signals ุงู„ุทุจูŠุนูŠุฉ ุฃูˆ ุงู„
1172
+
1173
+ 294
1174
+ 00:26:02,560 --> 00:26:06,140
1175
+ Growth Factors ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ู„ุงู†ู‚ุณุงู…
1176
+
1177
+ 295
1178
+ 00:26:08,090 --> 00:26:11,130
1179
+ ุนู†ุฏู†ุง ุงู„ู‡ูˆู„ ู…ุงุฑูƒุช ุชุงู†ูŠุฉ invasion of growth
1180
+
1181
+ 296
1182
+ 00:26:11,130 --> 00:26:17,730
1183
+ inhibitory signals ุทูŠุจ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฒูŠ ู…ุง ููŠ
1184
+
1185
+ 297
1186
+ 00:26:17,730 --> 00:26:25,100
1187
+ ุนู†ุฏู†ุง signals ุนุดุงู† ุงู„ุฎู„ูŠุฉุชุฏุฎู„ ููŠ proliferation ุฃูˆ
1188
+
1189
+ 298
1190
+ 00:26:25,100 --> 00:26:29,600
1191
+ ุชุฏุฎู„ ููŠ cell cycle ููŠ ุฃู† ุฃูŠุถู‹ุง inhibitory signals
1192
+
1193
+ 299
1194
+ 00:26:29,600 --> 00:26:36,560
1195
+ ูˆ ุงู„ inhibitory signals ู‡ุฐู‡ ุจุชู…ู†ุน ุงู„ุฎู„ูŠุฉ ู…ู† ุงู„ุฏุฎูˆู„
1196
+
1197
+ 300
1198
+ 00:26:36,560 --> 00:26:41,500
1199
+ ููŠ cell cycle the normal cells respond to
1200
+
1201
+ 301
1202
+ 00:26:41,500 --> 00:26:46,370
1203
+ inhibitory signals to maintain homeostasisุฃูˆ ุฒูŠ ู…ุง
1204
+
1205
+ 302
1206
+ 00:26:46,370 --> 00:26:48,650
1207
+ ุงุญู†ุง ุนุงุฑููŠู† ุฃู†ู‡ most cells of the body are not
1208
+
1209
+ 303
1210
+ 00:26:48,650 --> 00:26:52,830
1211
+ actively dividing ู„ุฃู†ู‡ ููŠ ุนู†ุฏูŠ inhibitory signals
1212
+
1213
+ 304
1214
+ 00:26:52,830 --> 00:26:57,550
1215
+ ู„ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ูˆุจุชู…ู†ุน ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ู…ู† ุงู„ุฏุฎูˆู„ ููŠ cell
1216
+
1217
+ 305
1218
+ 00:26:57,550 --> 00:27:02,210
1219
+ cycle ู„ูƒู† ุจุงู„ู†ุณุจุฉ ู„ุงู„ูƒุงู†ุณุฑุŒ cancer cells do not
1220
+
1221
+ 306
1222
+ 00:27:02,210 --> 00:27:07,360
1223
+ respond to growth inhibitory signalsacquired
1224
+
1225
+ 307
1226
+ 00:27:07,360 --> 00:27:13,560
1227
+ mutations interfere with inhibitory pathways ูˆู‡ุฐุง
1228
+
1229
+ 308
1230
+ 00:27:13,560 --> 00:27:19,500
1231
+ ุงู„ููŠุฌุฑุฑ ู…ู…ูƒู† ุจูŠูˆุถุญ ุงู„ููƒุฑุฉ ูˆุทุจุนุง ู‡ุฐุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุงู†
1232
+
1233
+ 309
1234
+ 00:27:19,500 --> 00:27:26,240
1235
+ ุดุงุก ุงู„ู„ู‡ ู„ู…ุง ู†ูŠุฌูŠ ู†ุญูƒูŠ ุนู„ู‰ ุณูŠู„ ุณุงูŠูƒู„ ุงู„ุงู† ุงู„ E2F
1236
+
1237
+ 310
1238
+ 00:27:26,240 --> 00:27:29,600
1239
+ ู‡ูˆ ุนุจุงุฑุฉ ุนู† transcription factor ูˆู‡ุฐุง ุงู„
1240
+
1241
+ 311
1242
+ 00:27:29,600 --> 00:27:37,110
1243
+ transcription factorุจูŠู„ุฒู… ุทุจุนุง ู„ุฅู†ุชุงุฌ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„
1244
+
1245
+ 312
1246
+ 00:27:37,110 --> 00:27:41,830
1247
+ proteinุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ proliferation ุทูŠุจ ุงู„
1248
+
1249
+ 313
1250
+ 00:27:41,830 --> 00:27:45,050
1251
+ Analyte of ู‡ุฐุงุฃูŠุด ู…ุฑุชุจุท ู…ุนุงู‡ุŸ ู…ุฑุชุจุท ู…ุนุงู‡ ุงู„ู€
1252
+
1253
+ 314
1254
+ 00:27:45,050 --> 00:27:48,970
1255
+ Retinoplastoma ูˆุงุฑุชุจุงุท ุงู„ู€ Retinoplastoma ู…ุนุงู‡
1256
+
1257
+ 315
1258
+ 00:27:48,970 --> 00:27:53,610
1259
+ ุจูŠู…ู†ุน ุฃู† ุงู„ู€ E2F ู‡ุชุตุจุญ active ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง
1260
+
1261
+ 316
1262
+ 00:27:53,610 --> 00:27:56,370
1263
+ ุฅู†ุชุงุฌ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ proliferation
1264
+
1265
+ 317
1266
+ 00:27:56,370 --> 00:28:03,090
1267
+ ุทูŠุจ ู„ู…ุง ุงุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ุฅุฐุง ูƒุงู† ุจุดูƒู„ ุทุจูŠุนูŠ growth
1268
+
1269
+ 318
1270
+ 00:28:03,090 --> 00:28:07,150
1271
+ factor ูˆุจุฑุชุจุท ู…ุน ุงู„ receptor ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุงุจุชุตู„
1272
+
1273
+ 319
1274
+ 00:28:07,150 --> 00:28:13,490
1275
+ ุงู„ุฅุดุงุฑุฉ ู„ู„ nucleus ุจูŠุตูŠุฑ ููŠุงู†ุงุงู„ู„ูŠ ู‡ูˆ activation
1276
+
1277
+ 320
1278
+ 00:28:13,490 --> 00:28:20,530
1279
+ ู„ู€ Cycline-dependent kinase ูˆู‡ุฐุง ุจูŠุนู…ู„ ููˆุณููˆุฑูŠู„ูŠุดู†
1280
+
1281
+ 321
1282
+ 00:28:20,530 --> 00:28:24,450
1283
+ ู„ู€ Retinoblastoma ุงู„ุจุฑูˆุชูŠู† ูˆุงู„ููˆุณููˆุฑูŠู„ูŠุดู† ู‡ุฐุง
1284
+
1285
+ 322
1286
+ 00:28:24,450 --> 00:28:28,110
1287
+ ุจูŠุนู…ู„ ุงู„ู€ change ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ structure
1288
+
1289
+ 323
1290
+ 00:28:28,110 --> 00:28:31,830
1291
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ release ูˆุงู†ูุตุงู„ ู„ู€ Retinoblastoma
1292
+
1293
+ 324
1294
+ 00:28:31,830 --> 00:28:35,190
1295
+ ุนู† ุงู„ู€ E2F ูˆุงู„ู€ E2F ุจูŠุตูŠุฑ active ูˆุจูŠุนู…ู„ ุฅู†ุชุงุฌ
1296
+
1297
+ 325
1298
+ 00:28:35,190 --> 00:28:40,140
1299
+ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุจู‡ุฐุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุงุงู„ู„ูŠ ู‡ูˆ Growth
1300
+
1301
+ 326
1302
+ 00:28:40,140 --> 00:28:45,760
1303
+ Stimulation ูˆุฏุฎู„ุช ุงู„ุฎู„ูŠุฉ ููŠ Cell Cycle ุทูŠุจ ุงู„ุขู† ููŠ
1304
+
1305
+ 327
1306
+ 00:28:45,760 --> 00:28:49,360
1307
+ ุญุงู„ุงุช ุงู„ emergency ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠ ุนู†ุง ุฅูŠุด CDK
1308
+
1309
+ 328
1310
+ 00:28:49,360 --> 00:28:54,340
1311
+ -Inhibitors ูŠุจู‚ู‰ ููŠ ุนู†ุง CDK-Inhibitors ูˆ ุจุชู…ู†ุน ู…ู†
1312
+
1313
+ 329
1314
+ 00:28:54,340 --> 00:28:57,640
1315
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ ุงู„ CDK ูˆุจุงู„ุชุงู„ูŠ ุจุชู…ู†ุน ู…ู† ุงู„
1316
+
1317
+ 330
1318
+ 00:28:57,640 --> 00:29:00,200
1319
+ phosphorylation ู„ู„ุฑูŠุชุฑูˆุจู„ุงุณุชูˆู…ุฉ ูˆ ุจูŠุถู„
1320
+
1321
+ 331
1322
+ 00:29:00,200 --> 00:29:03,860
1323
+ ุงู„ุฑูŠุชุฑูˆุจู„ุงุณุชูˆู…ุฉ ู…ุฑุชุจุท ุจุงู„ A2F ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ู„ูŠ
1324
+
1325
+ 332
1326
+ 00:29:03,860 --> 00:29:09,610
1327
+ Cell Cycle ArrestูŠุจู‚ู‰ ู‡ุฏุฃ ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ
1328
+
1329
+ 333
1330
+ 00:29:09,610 --> 00:29:14,490
1331
+ ุฃู† Oncogenic exchanges ู„ ุงู„ CDK Inhibitors ุชู…ุงู…
1332
+
1333
+ 334
1334
+ 00:29:14,490 --> 00:29:18,410
1335
+ ูŠุจู‚ู‰ ุงู„ CDK Inhibitors ู‡ุฐู‡ ู…ุด ู‡ุชู‚ุฏุฑ ุชุนู…ู„
1336
+
1337
+ 335
1338
+ 00:29:18,410 --> 00:29:23,090
1339
+ inhibition ู„ ุงู„ CDK ูˆ ุงู„ CDK ู‡ูŠุธู„ active ูˆ ุดุบุงู„ ูˆ
1340
+
1341
+ 336
1342
+ 00:29:23,090 --> 00:29:25,970
1343
+ ู‡ูŠุธู„ ูŠุนู…ู„ ุงู„ phosphorylation ู„ ุงู„ erythroblastoma
1344
+
1345
+ 337
1346
+ 00:29:25,970 --> 00:29:29,490
1347
+ ูˆ ุงู„ E2F transcription factor ู‡ุชุธู„ active ูˆ ู‡ูŠุธู„
1348
+
1349
+ 338
1350
+ 00:29:29,490 --> 00:29:32,930
1351
+ ูŠู†ุชุฌ ุงู„ proteinุงุช ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจุงู„
1352
+
1353
+ 339
1354
+ 00:29:32,930 --> 00:29:36,840
1355
+ proliferation ูˆ ู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆproliferation
1356
+
1357
+ 340
1358
+ 00:29:36,840 --> 00:29:43,320
1359
+ ู„ ุงู„ุฎู„ุงูŠุง ุงู„ู‡ูˆ ุงู„ mark ุงู„ุชุงู„ุชุฉ invasion of cell
1360
+
1361
+ 341
1362
+ 00:29:43,320 --> 00:29:49,300
1363
+ death ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุฃูŠุถุง ุงู„ุทุจูŠุนูŠุฉ ู„ูˆ ุตุงุฑ ููŠู†ุง
1364
+
1365
+ 342
1366
+ 00:29:49,300 --> 00:29:55,320
1367
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ุฎู„ูŠุฉ ู„ูˆ ุตุงุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ู…ู…ูƒู† ููŠ ุงู„ ุงู„
1368
+
1369
+ 343
1370
+ 00:29:55,320 --> 00:30:00,320
1371
+ senses ู„ ุงู„ ุงู„ DNA ูˆู…ุงุตุงุฑุด ููŠู†ุง repair ูŠุจู‚ู‰
1372
+
1373
+ 344
1374
+ 00:30:00,320 --> 00:30:07,650
1375
+ ุงู„ู…ูุฑูˆุถ ุงู† ุงู„ุฎู„ูŠุฉ ุจุชุฏุฎู„ ููŠ apoptosisุจุตูŠุฑ ููŠู†ุง
1376
+
1377
+ 345
1378
+ 00:30:07,650 --> 00:30:14,170
1379
+ induction ู„-apoptosis ูˆุจุตูŠุฑ ููŠู†ุง ู…ูˆุช ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰
1380
+
1381
+ 346
1382
+ 00:30:14,170 --> 00:30:21,430
1383
+ ู‡ุฐุง ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ุงู„ุขู† ู…ู…ูƒู† ุงู„ุฎู„ุงูŠุง ูุนู„ูŠุง ุฎู„ุงูŠุง
1384
+
1385
+ 347
1386
+ 00:30:21,430 --> 00:30:26,910
1387
+ ุงู„ cancer ุชุนู…ู„ evasion ู„ุณู„ death ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†
1388
+
1389
+ 348
1390
+ 00:30:26,910 --> 00:30:32,750
1391
+ ุทุฑูŠู‚ ุงู„ูˆุง evade by evading apoptotic signalsู„ู…ุง
1392
+
1393
+ 349
1394
+ 00:30:32,750 --> 00:30:37,430
1395
+ ู†ุญูƒูŠ ุนู† ุงู„ู€ Apoptosis ุจุงู„ุชูุตูŠู„ ู‡ู†ุดูˆู ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง
1396
+
1397
+ 350
1398
+ 00:30:37,430 --> 00:30:44,490
1399
+ ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุชุนุชุจุฑ Anti-apoptotic ุจุฑูˆุชูŠู†ุงุช ูˆุฌูˆุฏู‡ุง
1400
+
1401
+ 351
1402
+ 00:30:44,490 --> 00:30:50,390
1403
+ ุจูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ู€ Apoptosis ุฃูˆ ู…ู† ุงู„ induction ู„ู€
1404
+
1405
+ 352
1406
+ 00:30:50,390 --> 00:30:55,310
1407
+ Apoptosis ูˆ ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
1408
+
1409
+ 353
1410
+ 00:30:55,310 --> 00:31:00,960
1411
+ ุชุนุชุจุฑ Pre-apoptoticูŠุจู‚ู‰ ูˆุฌูˆุฏ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุชู…ุงู…
1412
+
1413
+ 354
1414
+ 00:31:00,960 --> 00:31:08,400
1415
+ ุจูŠู‡ูŠุฆ ูˆุจูŠุณุงุนุฏ ุนู„ู‰ ุฏุฎูˆู„ ุงู„ุฎู„ูŠุฉ ููŠ apoptosis ูŠุจู‚ู‰
1416
+
1417
+ 355
1418
+ 00:31:08,400 --> 00:31:11,520
1419
+ ุงุญู†ุง ู„ู…ุง ุจู†ุญูƒูŠ ุนู„ู‰ evasion of cell death ูŠุจู‚ู‰ ู…ู…ูƒู†
1420
+
1421
+ 356
1422
+ 00:31:11,520 --> 00:31:17,200
1423
+ ุจู†ุญูƒูŠ ุนู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุฅู†ุชุงุฌ Anti-apoptotic proteins
1424
+
1425
+ 357
1426
+ 00:31:17,200 --> 00:31:20,280
1427
+ ูŠุจู‚ู‰ ุฒูŠ ูƒุงู†ุตุฑ ููŠ ุนู†ุฏู†ุง Anti-apoptotic proteins ุฒูŠ
1428
+
1429
+ 358
1430
+ 00:31:20,280 --> 00:31:25,990
1431
+ ุงู„ู€ BCL2 ูˆ BCLXLุตุงุฑ ููŠู†ุง ุฅู†ุชุงุฌ ุจูƒู…ูŠุงุช ุฃูƒุจุฑ ูŠุจู‚ู‰
1432
+
1433
+ 359
1434
+ 00:31:25,990 --> 00:31:29,690
1435
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ุงุจูˆุจุชูˆุฒูŠุฒ ุฃูˆ ุฃู†ู‡ ูŠุตูŠุฑ
1436
+
1437
+ 360
1438
+ 00:31:29,690 --> 00:31:35,650
1439
+ ููŠู†ุง under production ู„ ุงู„ pre-apoptotic proteins
1440
+
1441
+ 361
1442
+ 00:31:35,650 --> 00:31:42,550
1443
+ ุฒูŠ ุงู„ bags ูˆ ุงู„ bed ูˆ ุงู„ bad ุงู„
1444
+
1445
+ 362
1446
+ 00:31:42,550 --> 00:31:46,850
1447
+ hallmark ุงู„ุฑุงุจุน unlimited replicative potential
1448
+
1449
+ 363
1450
+ 00:31:51,780 --> 00:31:57,500
1451
+ ุทูŠุจ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุจุดูƒู„ ุทุจูŠุนูŠ ุฒูŠ ููŠู‡ุง ุนุฏุงุฏ
1452
+
1453
+ 364
1454
+ 00:31:57,500 --> 00:32:03,680
1455
+ ุงู„ู„ูŠ ู‡ูˆ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชู‚ูˆู… ุจู‡ุง ุงู„ุฎู„ูŠุฉ
1456
+
1457
+ 365
1458
+ 00:32:03,680 --> 00:32:08,660
1459
+ ูŠุจู‚ู‰ ููŠู‡ุง autonomous counting device ูˆู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ
1460
+
1461
+ 366
1462
+ 00:32:08,660 --> 00:32:16,200
1463
+ ุจูŠุญุฏุฏ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ุญุตู„ู‡ุง ุงู„ุฎู„ูŠุฉูˆุจุนุฏ ุฐู„ูƒ
1464
+
1465
+ 367
1466
+ 00:32:16,200 --> 00:32:22,800
1467
+ ุจูŠุตูŠุฑ ุฃู†ู‡ ุจุชุดูŠุฎ ุงู„ุฎู„ูŠุฉ ุงู„cell become senescent
1468
+
1469
+ 368
1470
+ 00:32:22,800 --> 00:32:28,940
1471
+ ูˆุจุนุฏ ุฐู„ูƒ ุทุจุนุง ุจุชู…ูˆุช this cellular counting device
1472
+
1473
+ 369
1474
+ 00:32:28,940 --> 00:32:31,960
1475
+ is the shortening of the chromosomal ends of
1476
+
1477
+ 370
1478
+ 00:32:31,960 --> 00:32:36,560
1479
+ telomeres ุงู„ุนุฏุงุฏ ู‡ุฐุง ุงู„ autonomous counting device
1480
+
1481
+ 371
1482
+ 00:32:36,560 --> 00:32:41,540
1483
+ ู‡ูˆ ุงู„ุชู„ูˆู…ูŠุฑุฒ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ู†ู‡ุงูŠุงุช ุงู„ chromosomes
1484
+
1485
+ 372
1486
+ 00:32:43,370 --> 00:32:51,350
1487
+ ุชู…ุงู…ุŸ ูˆุงู„ู„ูŠ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ู„ุงู„ุฎู„ูŠุฉ ุจูŠู‚ุตุฑ ุฃู†ู‡ ุงู„ู€
1488
+
1489
+ 373
1490
+ 00:32:51,350 --> 00:32:58,510
1491
+ telomere cancer cells maintain the length of their
1492
+
1493
+ 374
1494
+ 00:32:58,510 --> 00:33:02,610
1495
+ telomeres ู‡ุฐุง ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุงู„ cancer cells ูˆู‡ุฐุง ุงู„ู„ูŠ
1496
+
1497
+ 375
1498
+ 00:33:02,610 --> 00:33:07,510
1499
+ ุจูŠุฎู„ูŠ ุฃู† ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ู„ ุงู„ cancer cells ุบูŠุฑ
1500
+
1501
+ 376
1502
+ 00:33:07,510 --> 00:33:12,380
1503
+ ู…ุญุฏูˆุฏุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ูŠู‚ูˆู„ู†ุง ุงู† ุงู„ telomeres ุจูŠู‚ุตุฑ
1504
+
1505
+ 377
1506
+ 00:33:12,380 --> 00:33:17,420
1507
+ ูƒู„ ุงู†ู‚ุณุงู… ุจูŠู‚ุตุฑ ุนู†ุฏู†ุง ุงู„ุชู„ูˆู…ูŠุฑ ู„ูƒู† ๏ฟฝ๏ฟฝู„ cancer cells
1508
+
1509
+ 378
1510
+ 00:33:17,420 --> 00:33:24,600
1511
+ ู‡ุฐุง .. ู‡ุฐู‡ ุงู„ุดุบู„ุฉ ุจุชุตูŠุฑุด ู„ูŠุดุŸ ู„ุฃู† ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ุงู†ุฒูŠู…
1512
+
1513
+ 379
1514
+ 00:33:24,600 --> 00:33:32,560
1515
+ telomerase ูˆ ู‡ุฐุง ุงู„ุงู†ุฒูŠู… ุจูŠุนู…ู„ ุฃูˆ ุจูŠุนูˆุฏ ุงู„ู†ู‚ุต ุงู„ู„ูŠ
1516
+
1517
+ 380
1518
+ 00:33:32,560 --> 00:33:39,780
1519
+ ุจูŠุตูŠุฑู‡ูˆ ุจูŠุนู…ู„ lengthening ู„ู€ telomeres ุงู„ู„ูŠ ุจุชุตูŠุฑ
1520
+
1521
+ 381
1522
+ 00:33:39,780 --> 00:33:45,980
1523
+ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ูˆุจุงู„ุชุงู„ูŠ ุจูŠุณุฑุด ุนู†ุง ุงู„ู‚ุตุฑ ุงู„ู„ูŠ ุจูŠุตูŠุฑ
1524
+
1525
+ 382
1526
+ 00:33:45,980 --> 00:33:52,300
1527
+ ููŠ ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ุจูŠูƒูˆู† ุนู†ุง ุฏุงูŠู…ุง ููŠู‡
1528
+
1529
+ 383
1530
+ 00:33:52,300 --> 00:33:59,940
1531
+ ู…ู‚ุฏุฑุฉ ู„ู„ุฎู„ุงูŠุง ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ู‡ุฐู‡
1532
+
1533
+ 384
1534
+ 00:33:59,940 --> 00:34:03,480
1535
+ ุจุฑุถู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡ ูŠุนู†ูŠ ุจุดูˆูŠุฉ ุชูุตูŠู„ ุงู„ู„ูŠ
1536
+
1537
+ 385
1538
+ 00:34:03,480 --> 00:34:10,530
1539
+ ู‚ุฏุงู…ุนู†ุง ุงู„ู‡ูˆู„ู…ุงุฑูƒ ุงู„ุฎุงู…ุณุฉ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุณูŠุณ
1540
+
1541
+ 386
1542
+ 00:34:10,530 --> 00:34:14,310
1543
+ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุณูŠุณ ุชุนู†ูŠ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1544
+
1545
+ 387
1546
+ 00:34:14,310 --> 00:34:15,110
1547
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1548
+
1549
+ 388
1550
+ 00:34:15,110 --> 00:34:17,790
1551
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1552
+
1553
+ 389
1554
+ 00:34:17,790 --> 00:34:20,090
1555
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1556
+
1557
+ 390
1558
+ 00:34:20,090 --> 00:34:20,130
1559
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1560
+
1561
+ 391
1562
+ 00:34:20,130 --> 00:34:20,190
1563
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1564
+
1565
+ 392
1566
+ 00:34:20,190 --> 00:34:22,910
1567
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1568
+
1569
+ 393
1570
+ 00:34:22,910 --> 00:34:33,170
1571
+ ู…ู† ุฌุฒุก ู…ู† ุฌุจุฃู† ุงู„ุดุจูƒุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ู…ู† ุงู„ blood vessels
1572
+
1573
+ 394
1574
+ 00:34:33,170 --> 00:34:40,650
1575
+ ุชู‚ุฑูŠุจุง constant ุนู†ุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดุฎุต ุงู„ adult ุงู„ุขู†
1576
+
1577
+ 395
1578
+ 00:34:40,650 --> 00:34:47,750
1579
+ ู„ู…ุง ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ูˆุฑู… ู…ูˆุฌูˆุฏ ูˆ ุงู„ูˆุฑู… ู‡ุฐุง ุจูŠูƒุจุฑ ูˆ ุนุฏุฏ
1580
+
1581
+ 396
1582
+ 00:34:47,750 --> 00:34:54,230
1583
+ ุงู„ุฎู„ุงูŠุง ุจูŠุฒูŠุฏ ุงู„ุขู† ุงู„ cancer ู‡ุฐุง ุจูŠุญุชุงุฌ ุฅู„ู‰ more
1584
+
1585
+ 397
1586
+ 00:34:54,230 --> 00:35:01,730
1587
+ new blood vessels ู„ุฃู†ู‡ุงู„ุฎู„ุงูŠุง ุจุชูƒุชุฑ ุงู„ุฎู„ุงูŠุง ุจุชุจุฏุฃ
1588
+
1589
+ 398
1590
+ 00:35:01,730 --> 00:35:07,110
1591
+ ุชุจุนุฏ ุนู† ุงู„ blood vessels ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญุชุงุฌ ุงู„ cancer
1592
+
1593
+ 399
1594
+ 00:35:07,110 --> 00:35:11,570
1595
+ ุจูŠุญุชุงุฌ ุงู„ new blood vessels ูˆ ุชูƒูˆู‘ู† ุงู„ new blood
1596
+
1597
+ 400
1598
+ 00:35:11,570 --> 00:35:16,290
1599
+ vessels ุนุดุงู† ุชู‚ุฏุฑ ุชุตู„ ุงู„ oxygen ูˆ ุงู„ nutrients ู„ูƒู„
1600
+
1601
+ 401
1602
+ 00:35:16,290 --> 00:35:22,170
1603
+ ุฎู„ุงูŠุง ุงู„ cancer ูˆู‡ุฐู‡ ุงู„ hallmark ุงู„ู„ูŠ ู‡ูŠ ุนู† ุทุฑูŠู‚
1604
+
1605
+ 402
1606
+ 00:35:22,170 --> 00:35:26,990
1607
+ induction of angiotensis ูŠุนู†ูŠ ุนู†ุฏ ุงู„ cancer ุงู„ู‚ุฏุฑุฉ
1608
+
1609
+ 403
1610
+ 00:35:27,500 --> 00:35:31,720
1611
+ ุนู„ู‰ ุทุจุนุงู‹ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ุฅูุฑุงุฒ ุงู„ุจุฑูˆุชูŠู†ุฒ
1612
+
1613
+ 404
1614
+ 00:35:31,720 --> 00:35:35,400
1615
+ ู…ุฎุชู„ูุฉ ูˆุงู„ุจุฑูˆุชูŠู†ุฒ ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุจุชุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ
1616
+
1617
+ 405
1618
+ 00:35:35,400 --> 00:35:39,800
1619
+ induction ู„ู€angiogenesis ูˆุจุชู‚ุฏุฑ ุชุชูƒูˆู† ุนู†ุฏู†ุง blood
1620
+
1621
+ 406
1622
+ 00:35:39,800 --> 00:35:46,520
1623
+ vessels ุฌุฏูŠุฏุฉ ุนุดุงู† ุชุตู„ ู„ู„ุฎู„ุงูŠุง ุงู„ู…ุฎุชู„ูุฉ ู„ุงู„ู€
1624
+
1625
+ 407
1626
+ 00:35:46,520 --> 00:35:51,320
1627
+ cancer a alternate balance between angiogenic
1628
+
1629
+ 408
1630
+ 00:35:51,320 --> 00:35:56,320
1631
+ inducers and inhibitors can activatethe angiogenic
1632
+
1633
+ 409
1634
+ 00:35:56,320 --> 00:36:00,380
1635
+ switch ูˆู‡ุฐุง ูŠุญุฏุซ ุนู†ุฏู…ุง ู†ุชูƒู„ู… ุจุงู„ุชูุตูŠู„ ุนู†
1636
+
1637
+ 410
1638
+ 00:36:00,380 --> 00:36:06,200
1639
+ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠ ููŠ ุนู†ุฏูŠ ู…ุซู„ ู…ุซู„ ู…ูŠุฒุงู† ูˆููŠ ุนู†ุฏูŠ
1640
+
1641
+ 411
1642
+ 00:36:06,200 --> 00:36:10,100
1643
+ inducers ู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠ ูˆุนู†ุฏูŠ inhibitors
1644
+
1645
+ 412
1646
+ 00:36:10,100 --> 00:36:15,110
1647
+ ู„ู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠุฅุฐุง ูƒุงู† ุงู„ู€ Inducers ุฃูƒุชุฑ ู…ู† ุงู„ู€
1648
+
1649
+ 413
1650
+ 00:36:15,110 --> 00:36:18,210
1651
+ InhibitorsุŒ ูŠุจู‚ู‰ ุจุชุฑุฌุญ ูƒูุฉ ุงู„ู…ูŠุฒุงู† ูˆุจุตูŠุฑ ููŠ ุนู†ุฏูŠ
1652
+
1653
+ 414
1654
+ 00:36:18,210 --> 00:36:21,850
1655
+ Androgensis ู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€ Inhibitors ุฃูƒุชุฑุŒ ูŠุจู‚ู‰
1656
+
1657
+ 415
1658
+ 00:36:21,850 --> 00:36:27,310
1659
+ ุจุชุฑุฌุญ ูƒูุฉ ุงู„ู€ Inhibitors ูˆุจูŠู…ู†ุน ุฃู† ุงู„ู€ Androgensis
1660
+
1661
+ 416
1662
+ 00:36:27,310 --> 00:36:34,110
1663
+ ูˆุจุชุชูƒูˆู†ุด ุนู†ุฏู†ุง blood vessels ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1664
+
1665
+ 417
1666
+ 00:36:34,110 --> 00:36:40,870
1667
+ Mark ุงู„ุณุงุฏุณุฉ Invasion and Metastasisุจู‡ุฐู‡ ุจุฑุถู‡ ุงู„ู„ูŠ
1668
+
1669
+ 418
1670
+ 00:36:40,870 --> 00:36:47,230
1671
+ ู‡ูˆ ู…ู† ุงู„ุฎุตุงุฆุต ู„ู€ Cancer ู‡ูŠ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุนู…ู„ invasion
1672
+
1673
+ 419
1674
+ 00:36:47,230 --> 00:36:54,170
1675
+ ูˆ ุงู„ูˆุตูˆู„ ุฅู„ู‰ blood vessels ุฃูˆ ุฅู„ู‰ ุงู„ lymphatic
1676
+
1677
+ 420
1678
+ 00:36:54,170 --> 00:36:58,610
1679
+ vessels ูˆ ุงู„ุฏุฎูˆู„ ููŠ ุงู„ blood vessels ุนู„ู‰ ุณุจูŠู„
1680
+
1681
+ 421
1682
+ 00:36:58,610 --> 00:37:05,400
1683
+ ุงู„ู…ุซุงู„ ูˆ ุงู„ุงู†ุชู‚ุงู„ ู„ุบุงูŠุฉ ู…ุงุชุตู„ ุงู„ cancer cells ุฅู„ู‰
1684
+
1685
+ 422
1686
+ 00:37:05,400 --> 00:37:09,620
1687
+ ู…ูƒุงู† ุขุฎุฑ ูˆ ูŠุตูŠุฑ ุนู†ุฏูŠ ุฎุฑูˆุฌ ู…ู† ุงู„ blood vessels ูˆ
1688
+
1689
+ 423
1690
+ 00:37:09,620 --> 00:37:19,000
1691
+ ูŠุจุฏุฃ ุนู†ุฏูŠ ุชูƒูˆู† ู„ูˆุฑู… ุฌุฏูŠุฏ ูŠุจู‚ู‰ ุนู†ุฏูŠ ุงู„ุฎู„ุงูŠุง
1692
+
1693
+ 424
1694
+ 00:37:19,000 --> 00:37:22,140
1695
+ ุงู„ุทุจูŠุนูŠุฉ normal cells maintain their location in
1696
+
1697
+ 425
1698
+ 00:37:22,140 --> 00:37:25,500
1699
+ the body and generally do not migrate ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง
1700
+
1701
+ 426
1702
+ 00:37:25,500 --> 00:37:30,240
1703
+ ุงู„ุทุจูŠุนูŠุฉ ู…ุงุนู†ุฏู‡ุง ู…ุด ู…ุงุนู†ุฏู‡ุงุด ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงู†ุชู‚ุงู„ ู…ู†
1704
+
1705
+ 427
1706
+ 00:37:30,240 --> 00:37:35,420
1707
+ ู…ูƒุงู† ุฅู„ู‰ ุขุฎุฑุงู„ุชุญุฑูƒ ู…ู† ุฎู„ุงูŠุง ุงู„ุฎู„ุงุฆูŠ ุฅู„ู‰ ุฌุฒุก ุฃุฎุฑ ู…ู†
1708
+
1709
+ 428
1710
+ 00:37:35,420 --> 00:37:40,840
1711
+ ุงู„ุฌุณู… ู‡ูˆ ู…ุณุจุจ ูƒุจูŠุฑ ู„ู„ุฎู„ุงุก ูˆุงู„ู„ูŠ ุทุจุนุง ู‡ูŠูƒุณุจ ุงู„ุฎู„ุงูŠุง
1712
+
1713
+ 429
1714
+ 00:37:40,840 --> 00:37:45,420
1715
+ ู‡ุฐู‡ ุงู„ุฎุตุงุฆุต ุงู„ู„ูŠ ู‡ูŠ ุงู„ invasion ู‡ูˆ ุงู„ alterations
1716
+
1717
+ 430
1718
+ 00:37:45,420 --> 00:37:50,760
1719
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ genomemay affect the activity and
1720
+
1721
+ 431
1722
+ 00:37:50,760 --> 00:37:54,540
1723
+ levels of enzymes ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ุจุฑุถู‡ ู„ู…ุง ู†ุญูƒูŠ
1724
+
1725
+ 432
1726
+ 00:37:54,540 --> 00:37:58,320
1727
+ ุจุงู„ุชูุตูŠู„ ุนู„ู‰ ุงู„ metastases ุงู„ enzymes ู‡ุฐู‡ ู‡ุชุนู…ู„
1728
+
1729
+ 433
1730
+ 00:37:58,320 --> 00:38:05,040
1731
+ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ invasion ูˆุงู„ุงุฎุชุฑุงู‚ ุงู„ู„ูŠ ุจุฏู‡ ูŠุณูŠุฑ ู„ู„
1732
+
1733
+ 434
1734
+ 00:38:05,040 --> 00:38:11,080
1735
+ tissues ูˆูˆุตูˆู„ ุงู„ cancer cells ู„ blood vessels ูˆุฒูŠ
1736
+
1737
+ 435
1738
+ 00:38:11,080 --> 00:38:15,580
1739
+ ู…ุง ู‚ู„ู†ุง ุชุญุฑูƒู‡ุง ุนุจุฑ ุงู„ blood vessels ูˆูˆุตูˆู„ู‡ุง ุฅู„ู‰
1740
+
1741
+ 436
1742
+ 00:38:15,580 --> 00:38:17,780
1743
+ ุฃู…ุงูƒู† ุฃุฎุฑู‰
1744
+
1745
+ 437
1746
+ 00:38:22,910 --> 00:38:27,650
1747
+ ุทุจุนุง ู‡ู†ุญูƒูŠ ุจุงู„ุชูุตูŠู„ ูŠุนู†ูŠ ู‡ุงู† ุจุงุฎุชุตุงุฑ ู‡ุงู† ุนู†ุฏู†ุง ุงู„
1748
+
1749
+ 438
1750
+ 00:38:27,650 --> 00:38:32,450
1751
+ primary site ู„ ุงู„ tumor ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ
1752
+
1753
+ 439
1754
+ 00:38:32,450 --> 00:38:37,230
1755
+ ุทุจุนุง ุชุบูŠุฑุงุช ูˆ ุงู„ุฎู„ุงูŠุง ู‡ุชูƒุชุณุจ ุฎุตุงุฆุต ุฌุฏูŠุฏุฉ ูˆ ู‡ุตูŠุฑ ููŠ
1756
+
1757
+ 440
1758
+ 00:38:37,230 --> 00:38:41,210
1759
+ ุนู†ุฏู‡ุง ู‚ุฏุฑุฉ ุนู„ู‰ ุฅูุฑุงุฒ ุฃู†ุฒูŠู…ุงุช ูˆ ุงู„ุงู†ุฒูŠู…ุงุช ู‡ุชุนู…ู„
1760
+
1761
+ 441
1762
+ 00:38:41,210 --> 00:38:50,360
1763
+ ุงุฎุชุฑุงู‚ ููŠ ุงู„ basement membrane ูˆ ู‡ุชุตู„ ู„ุทุจุนุง ุงู„
1764
+
1765
+ 442
1766
+ 00:38:50,360 --> 00:38:55,100
1767
+ blood vessels ูˆ
1768
+
1769
+ 443
1770
+ 00:38:55,100 --> 00:38:59,260
1771
+ ุทุจุนุง ู‡ุชู†ุชู‚ู„ ุนุจุฑ ุงู„ blood vessels ูˆ ุจุนุฏูŠู† ู‡ุณูŠุฑ
1772
+
1773
+ 444
1774
+ 00:38:59,260 --> 00:39:05,700
1775
+ ููŠุงู†ุง extravasation ู„ ุงู„ cancer cells ูˆ ู‡ุชุตู„ ู„ู…ูƒุงู†
1776
+
1777
+ 445
1778
+ 00:39:05,700 --> 00:39:10,580
1779
+ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุดูƒู„ ููŠู‡ ูˆุฑู… ุฌุฏูŠุฏ
1780
+
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@@ -0,0 +1,1780 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,600 --> 00:00:08,520
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู†ุจุฏุฃ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฃูˆู„ู‰ ูˆู‡ูŠ
4
+
5
+ 2
6
+ 00:00:08,520 --> 00:00:13,100
7
+ ุจุนู†ูˆุงู† introduction ูˆุงู„ู„ูŠ ู‡ู†ุชุทุฑู‚ ููŠู‡ุง ุฅู† ุดุงุก ุงู„ู„ู‡
8
+
9
+ 3
10
+ 00:00:13,100 --> 00:00:20,120
11
+ ู„ู„ู†ู‚ุงุท ุงู„ุชุงู„ูŠุฉ ุจุฏุงูŠุฉ ู‡ู†ุญูƒูŠ ุนู† ุงู„ statistics ุนุงู„ู…ูŠุง
12
+
13
+ 4
14
+ 00:00:20,120 --> 00:00:25,440
15
+ ูˆุนู„ู‰ ู…ุณุชูˆู‰ ู‚ุทุงุน ุบุฒุฉ ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ููŠู‡ุง
16
+
17
+ 5
18
+ 00:00:25,440 --> 00:00:31,720
19
+ ู‡ูŠ ุงู„ hallmarks of cancerูˆุงู„ู†ู‚ุทุฉ ุงู„ุชุงู„ุชุฉ cancer is
20
+
21
+ 6
22
+ 00:00:31,720 --> 00:00:36,440
23
+ a disease of the genome ูˆุงู„ู†ู‚ุทุฉ ุงู„ุฃุฎูŠุฑุฉ
24
+
25
+ 7
26
+ 00:00:36,440 --> 00:00:40,040
27
+ influential factors in human carcinogenesis
28
+
29
+ 8
30
+ 00:00:40,040 --> 00:00:46,780
31
+ ุงู„ุนูˆุงู…ู„ ุงู„ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุงุนุฏ ููŠ ุญุฏูˆุซ cancer
32
+
33
+ 9
34
+ 00:00:46,780 --> 00:00:54,320
35
+ ู†ุจุฏุฃ ุจุงู„ุฅุญุตุงุฆูŠุงุช cancer
36
+
37
+ 10
38
+ 00:00:54,320 --> 00:01:01,330
39
+ is a major cause of mortality andุงู„ุนู†ุตุฑ ู‡ูˆ ู…ุตุงุฏุฑ
40
+
41
+ 11
42
+ 00:01:01,330 --> 00:01:08,770
43
+ ุนุงู…ุฉ ู„ู„ุนู†ุตุฑูŠุฉ ูˆุงู„ู…ูˆุชู‰ ูˆููŠ ุงู„ุนุงู… 2018 ุญุณุจ
44
+
45
+ 12
46
+ 00:01:08,770 --> 00:01:14,070
47
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุชู‚ุฑูŠุจุง 18 ู…ู„ูŠูˆู† ููŠ ุญุงู„ุงุช ุฌุฏูŠุฏุฉ ู…ู†
48
+
49
+ 13
50
+ 00:01:14,070 --> 00:01:24,490
51
+ ุงู„ุนู†ุตุฑ ูƒุงู†ุช ู…ูˆุงุฌู‡ุฉ ุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุนุฏุฏ ูˆููŠุงุช ุชู‚ุฑูŠุจุง
52
+
53
+ 14
54
+ 00:01:24,490 --> 00:01:27,130
55
+ ุชุณุนุฉ ูˆู†ุต ู…ู„ูŠูˆู† ุดุฎุต
56
+
57
+ 15
58
+ 00:01:29,420 --> 00:01:36,180
59
+ ุทุจุนุง ุงู„ cancer ู…ุด ู…ู‚ุชุตุฑ ุญุฏูˆุทู‡ ุนู„ู‰ ุจู„ุฏ ู…ุนูŠู† ูŠุจู‚ู‰
60
+
61
+ 16
62
+ 00:01:36,180 --> 00:01:39,620
63
+ affecting populations in all countries and all
64
+
65
+ 17
66
+ 00:01:39,620 --> 00:01:46,860
67
+ regionsูˆุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ incidence ูˆ mortality ู„ูƒู„
68
+
69
+ 18
70
+ 00:01:46,860 --> 00:01:53,700
71
+ 100 ุฃู„ู ุดุฎุต ุชู‚ุฑูŠุจุง ุฃู† 182 ุงู„ incidence rate ู„ูƒู„
72
+
73
+ 19
74
+ 00:01:53,700 --> 00:01:59,740
75
+ 100 ุฃู„ู ุดุฎุต ูˆ ุงู„ mortality rate 102 ู„ูƒู„ 100 ุฃู„ู
76
+
77
+ 20
78
+ 00:01:59,740 --> 00:02:03,640
79
+ ุดุฎุต ู†ุญูƒูŠ ุงู„ู„ูŠ ู‡ูˆ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…
80
+
81
+ 21
82
+ 00:02:10,180 --> 00:02:14,360
83
+ ูˆุทุจุนุง ุงู„ุฃุนุฏุงุฏ ููŠ ุชุฒุงูŠุฏ ุณูˆุงุก ุจู†ุญูƒูŠ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„
84
+
85
+ 22
86
+ 00:02:14,360 --> 00:02:17,660
87
+ incidence rate ุฃูˆ ุนู„ู‰ ุงู„ mortality rate ูŠุนู†ูŠ ู„ูˆ
88
+
89
+ 23
90
+ 00:02:17,660 --> 00:02:24,140
91
+ ุฌูŠู†ุง ู‚ุงุฑู†ู†ุง ุจูŠู† ุงู„ุนุงู… 2012 ูˆ2018 ุจู†ู„ุงู‚ูŠ ุฃู†ู‡ ููŠ
92
+
93
+ 24
94
+ 00:02:24,140 --> 00:02:28,670
95
+ ุงู„ุนุงู… 2012 ูƒุงู† ุนุฏุฏุงู„ู†ุงุณ ุงู„ู„ูŠ ุฃุตูŠุจูˆุง ุจุงู„ู€ Cancer 14
96
+
97
+ 25
98
+ 00:02:28,670 --> 00:02:35,550
99
+ ู…ู„ูŠูˆู† ูˆุงุฑุชูุน ุฅู„ู‰ 18 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018 ูˆุฃูŠุถุง ุจู…ุง
100
+
101
+ 26
102
+ 00:02:35,550 --> 00:02:40,870
103
+ ูŠุชุนู„ู‚ ุจุงู„ู€ Mortality Rate ูˆุนุฏุฏ ุงู„ูˆููŠุงุช ููŠ 2012 ูƒุงู†
104
+
105
+ 27
106
+ 00:02:40,870 --> 00:02:49,850
107
+ 8 ู…ู„ูŠูˆู† ูˆุงุฑุชูุน ุฅู„ู‰ 9.5 ู…ู„ูŠูˆู† ููŠ ุงู„ุนุงู… 2018 ุฅุฐุง
108
+
109
+ 28
110
+ 00:02:49,850 --> 00:02:56,500
111
+ ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ุงู„ุฃุนุฏุงุฏ ู„ู€ New Cases ูˆุชูˆุฒูŠุนู‡ุง ุนู„ู‰
112
+
113
+ 29
114
+ 00:02:56,500 --> 00:03:01,000
115
+ ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู€ Cancer ุทุจุนุงู‹ ุจูŠุดู…ู„ ุงู„ both
116
+
117
+ 30
118
+ 00:03:01,000 --> 00:03:08,220
119
+ sixes ูˆ All ages ุฅู† ุงู„ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
120
+
121
+ 31
122
+ 00:03:08,220 --> 00:03:13,800
123
+ ุงู„ุฃูˆู„ู‰ ูˆ ุจูŠุดูƒู„ ุชู‚ุฑูŠุจุง 12% ู…ู† ุงู„ุญุงู„ุงุช ุงู„ูƒู„ูŠุฉ ู„ู€
124
+
125
+ 32
126
+ 00:03:13,800 --> 00:03:19,760
127
+ Cancerูˆ ุงู„ breast cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ูˆ
128
+
129
+ 33
130
+ 00:03:19,760 --> 00:03:28,160
131
+ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุจู†ูุณ ุงู„ู†ุณุจุฉ ูŠุนู†ูŠ ุจุงู„ุนุฏุฏ ุฃู‚ู„ ุจู‚ู„ูŠู„ ู…ู†
132
+
133
+ 34
134
+ 00:03:28,160 --> 00:03:31,740
135
+ ุงู„ lung cancer ูˆ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ ุจูŠุฌูŠ ุนู†ุฏู†ุง ุงู„
136
+
137
+ 35
138
+ 00:03:31,740 --> 00:03:36,740
139
+ colorectal cancer ุจุชู‚ุฑูŠุจุง ุชู…ุซู„ ุนุดุฑุฉ ุจุงู„ู…ูŠุฉ ู…ู†
140
+
141
+ 36
142
+ 00:03:36,740 --> 00:03:40,680
143
+ ุงู„ุญุงู„ุงุช ุจู…ุง
144
+
145
+ 37
146
+ 00:03:40,680 --> 00:03:46,400
147
+ ุชุนู„ู‚ ุจุนุฏุฏ ุงู„ูˆููŠุงุชุนู†ุง ุงู„ู€ lung cancer ุจูŠุฌูŠ ุจุงู„ู…ุฑุชุจุฉ
148
+
149
+ 38
150
+ 00:03:46,400 --> 00:03:52,680
151
+ ุงู„ุฃูˆู„ู‰ ู…ุณุจุจ ุงู„ุฃูˆู„ ู„ู„ูˆููŠุงุช ุจุณุจุจ ุงู„ cancer ูˆุนุฏุฏ
152
+
153
+ 39
154
+ 00:03:52,680 --> 00:03:58,440
155
+ ุงู„ูˆููŠุงุช ุจุณุจุจ ุงู„ lung cancer ุชู‚ุฑูŠุจุง 18.4% ูˆ
156
+
157
+ 40
158
+ 00:03:58,440 --> 00:04:03,710
159
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ุจูŠุฌูŠ ุนู†ุง ุงู„ colonRectum ุฃูˆ ุงู„ู€ Co
160
+
161
+ 41
162
+ 00:04:03,710 --> 00:04:10,210
163
+ -rectal cancer ุจู†ุณุจุฉ 9.2% ุงู„ุชุงู„ุช ุงู„ู€ Stomach ูˆ
164
+
165
+ 42
166
+ 00:04:10,210 --> 00:04:16,830
167
+ ุงู„ุฑุงุจุน ุนู†ุฏู†ุง ุงู„ liver ูˆ ุงู„ breast cancer ุจูŠุฌูŠ
168
+
169
+ 43
170
+ 00:04:16,830 --> 00:04:23,930
171
+ ุจุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ ุจู†ุณุจุฉ ุชู‚ุฑูŠุจุง 6.6% ูŠุจู‚ู‰ ู‡ุฐู‡
172
+
173
+ 44
174
+ 00:04:23,930 --> 00:04:28,830
175
+ ุงู„ุฅุญุตุงุฆูŠุงุช ุนุงู„ู…ูŠุง ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู…ู„ูˆ ุฌูŠู†ุง ู†ุญูƒูŠ
176
+
177
+ 45
178
+ 00:04:28,830 --> 00:04:36,670
179
+ ุจุดูƒู„ ุฎุงุต ุนู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ูˆุจู†ุงุก ุนู„ู‰ ุชู‚ุฑูŠุฑ ุชู…
180
+
181
+ 46
182
+ 00:04:36,670 --> 00:04:41,510
183
+ ุฅุนุฏุงุฏู‡ ููŠ ุงู„ุนุงู… 2016 Cancer Incidence in the Gaza
184
+
185
+ 47
186
+ 00:04:41,510 --> 00:04:48,990
187
+ Strip Facts and Figures 2015 to 2016 ุฃู† ุงู„ู€Table
188
+
189
+ 48
190
+ 00:04:48,990 --> 00:04:54,990
191
+ ุงู„ุฃูˆู„ ุจูŠู…ุซู„ ุงู„ incidence rate ู„ูƒู„ 100 ุฃู„ู ุดุฎุต ูˆุฒูŠ
192
+
193
+ 49
194
+ 00:04:54,990 --> 00:05:03,470
195
+ ู…ุง ุฃุญู†ุง ุดุงูŠููŠู† ุฃู†ู‡ุงู„ุนุฏุฏ ุงู„ุญุงู„ุงุช ุงู„ู…ูƒุชุดูุฉ ูุนู„ูŠู‹ุง ููŠ
196
+
197
+ 50
198
+ 00:05:03,470 --> 00:05:07,730
199
+ ุชุฒุงูŠุฏ ูˆุจุงู„ุชุงู„ูŠ ุงู„ incidence rate ุนู†ุฏู†ุง ููŠ ุชุฒุงูŠุฏ
200
+
201
+ 51
202
+ 00:05:07,730 --> 00:05:15,070
203
+ ูˆูˆุตู„ ุฅู„ู‰ 89 ุญุงู„ุฉ ู„ูƒู„ 100 ุฃู„ู ู†ุณู…ุฉ ููŠ ุงู„ุนุงู… 2016
204
+
205
+ 52
206
+ 00:05:15,070 --> 00:05:18,430
207
+ ุทุจุนู‹ุง
208
+
209
+ 53
210
+ 00:05:18,430 --> 00:05:23,000
211
+ ุงู„ุฃูƒุซุฑ ุฅุตุงุจุฉูŠุนู†ูŠ ู‡ุฐุง ุนุฏุฏ ุงู„ุฅุตุงุจุงุช ุญุณุจ ุงู„ู„ูŠ ู‡ูˆ
212
+
213
+ 54
214
+ 00:05:23,000 --> 00:05:28,980
215
+ ุงู„ูุฆุฉ ุงู„ุนู…ุฑูŠุฉ ูˆุฅู† ุทุจุนุง ูƒู„ ู…ุง ุชู‚ุฏู… ุงู„ุฅู†ุณุงู† ุจุงู„ุณู† ูƒู„
216
+
217
+ 55
218
+ 00:05:28,980 --> 00:05:35,040
219
+ ู…ุง ูƒุงู†ุช ูุฑุตุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุตุงุจุฉ ุจุงู„ cancer ุทุจุนุง ุจุชุฒูŠุฏ
220
+
221
+ 56
222
+ 00:05:37,670 --> 00:05:40,490
223
+ ุฅุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ most common types of cancer
224
+
225
+ 57
226
+ 00:05:40,490 --> 00:05:44,030
227
+ among Gaza population ุญุณุจ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฏุฑุงุณุฉ ุฒูŠ ู…ุง
228
+
229
+ 58
230
+ 00:05:44,030 --> 00:05:49,330
231
+ ู‚ู„ู†ุง ุงู„ู„ูŠ ุชู…ุช ุจูŠู† ุงู„ุนุงู… 2015 ูˆ 2016 ุฅู† ุงู„ breast
232
+
233
+ 59
234
+ 00:05:49,330 --> 00:05:56,320
235
+ cancer ุจูŠุญุชู„ ุงู„ู…ุฑุชุจุฉ ุงู„ุฃูˆู„ู‰ูˆ ุงู„ colon rectal
236
+
237
+ 60
238
+ 00:05:56,320 --> 00:05:59,800
239
+ cancer ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ leukemia ูˆ ุงู„
240
+
241
+ 61
242
+ 00:05:59,800 --> 00:06:02,940
243
+ lymphoma ููŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ ูˆ ุงู„ุฑุงุจุนุฉ ูˆ ุงู„ lung
244
+
245
+ 62
246
+ 00:06:02,940 --> 00:06:08,260
247
+ cancer ุจูŠุฌูŠ ุจูŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุฎุงู…ุณุฉ ูˆ ุจู…ุง ูŠุชุนู„ู‚
248
+
249
+ 63
250
+ 00:06:08,260 --> 00:06:11,820
251
+ ุจุงู„ูˆุงููŠุงุช
252
+
253
+ 64
254
+ 00:06:11,820 --> 00:06:17,560
255
+ ุจุณุจุจ ุงู„ cancer ุฃู† ุงู„ lung ุงู„ุณุจุจ ุงู„ุฃูˆู„ ุงู„ colon
256
+
257
+ 65
258
+ 00:06:17,560 --> 00:06:21,820
259
+ ุงู„ุชุงู†ูŠ ูˆ ุงู„ breast ุจูŠุฌูŠ ุจูŠ ุงู„ู…ุฑุชุจุฉ ุงู„ุชุงู„ุชุฉ
260
+
261
+ 66
262
+ 00:06:24,110 --> 00:06:29,170
263
+ ุฃูŠุถุงู‹ ูƒุงู† ููŠู†ุง ุชู‚ุฑูŠุฑ ุณุงุจู‚ ู„ู„ุณุฑุทุงู† ููŠ ู‚ุทุงุน ุบุฒุฉ
264
+
265
+ 67
266
+ 00:06:29,170 --> 00:06:35,710
267
+ ูˆุงู„ู„ูŠ ุดู…ู„ ุงู„ุฃุนูˆุงู… ู…ู† 2009 ุฅู„ู‰ 2014 ูˆููŠ ู‡ุฐุง ุงู„ุชู‚ุฑูŠุฑ
268
+
269
+ 68
270
+ 00:06:35,710 --> 00:06:42,010
271
+ ูŠุนู†ูŠ ุจูŠู‘ู† ูƒูŠู ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู‚ุงุฑู†ุฉ ุจุงู„ุจู„ุฏุงู†
272
+
273
+ 69
274
+ 00:06:42,010 --> 00:06:48,230
275
+ ุงู„ู…ุฌุงูˆุฑุฉ ูˆ ุงู„ graph ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ incidence
276
+
277
+ 70
278
+ 00:06:48,230 --> 00:06:52,940
279
+ rateู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€
280
+
281
+ 71
282
+ 00:06:52,940 --> 00:06:57,520
283
+ incidence rate ู„ู€ 149 ู„ูƒู„ 100 ุฃู„ู ูˆุทุจุนุง ูŠุนู†ูŠ ุฒูŠ ู…ุง
284
+
285
+ 72
286
+ 00:06:57,520 --> 00:07:00,680
287
+ ุฃู‚ูˆู„ ููŠ ุงู„ุจู„ุฏุงู† ุงู„ุฃุฎุฑู‰ ููŠ ุฃู† ุจู„ุงุฏ ุงู„ incidence
288
+
289
+ 73
290
+ 00:07:00,680 --> 00:07:04,260
291
+ rate ุฃุนู„ู‰ ู…ู† ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ู„ูƒู† ุจุฑุถู‡ ุจุงู„ู…ู‚ุงุจู„
292
+
293
+ 74
294
+ 00:07:04,260 --> 00:07:09,460
295
+ ููŠ ุฃู† ุจุนุถ ุงู„ุจู„ุงุฏ ุงู„ incidence rate ูŠุนู†ูŠ ุฃู‚ู„ ู…ู† ุงู„
296
+
297
+ 75
298
+ 00:07:09,460 --> 00:07:11,100
299
+ incidence rate ููŠ ู‚ุทุงุน ุบุฒุฉ
300
+
301
+ 76
302
+ 00:07:14,930 --> 00:07:18,550
303
+ ุงู„ุงู† ุงุฐุง ุจุฏู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ incidence rate ุจุฑุถู‡ ูˆ
304
+
305
+ 77
306
+ 00:07:18,550 --> 00:07:24,550
307
+ ุงู„ูˆุถุน ููŠ ู‚ุทุงุน ุบุฒุฉ ุจู…ุง ุชุนู„ู‚ ุจุงู„ females ูู‚ุท ุงู‡ ูŠุนู†ูŠ
308
+
309
+ 78
310
+ 00:07:24,550 --> 00:07:29,550
311
+ ุจุชู„ุงู‚ูŠ ุงู†ู‡ ุตุงุฑุช ุงู„ู„ูŠ ู‡ูˆ ุบุฒุฉ ููŠ ู…ูˆู‚ุน ุดูˆูŠุฉ ู…ุชู‚ุฏู… ุจู…ุง
312
+
313
+ 79
314
+ 00:07:29,550 --> 00:07:37,530
315
+ ุชุนู„ู‚ ุจุงู„ incidence rate ููŠ ุงู„ females ูู‚ุท ุทูŠุจ
316
+
317
+ 80
318
+ 00:07:37,530 --> 00:07:43,980
319
+ ู‡ุฐู‡ ูƒุงู†ุช ูŠุนู†ูŠ ู…ู‚ุฏู…ุฉุจุณูŠุทุฉ ุนู† ุงู„ุฅุญุตุงุฆูŠุงุช ุงู„ู„ูŠ ุจุชุชุนู„ู‚
320
+
321
+ 81
322
+ 00:07:43,980 --> 00:07:49,560
323
+ ุจุงู„ุณุฑุทุงู† ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุนุงู„ู… ูˆู‡ูŠ ุฃูŠุถุง ููŠ ู‚ุทุงุน ุบุฒุฉ
324
+
325
+ 82
326
+ 00:07:49,560 --> 00:07:54,640
327
+ ุจุดูƒู„ ุฎุงุต understand
328
+
329
+ 83
330
+ 00:07:54,640 --> 00:08:00,860
331
+ the disease effective therapies ุนุดุงู† ูุนู„ูŠุง ู†ูƒูˆู†
332
+
333
+ 84
334
+ 00:08:00,860 --> 00:08:09,540
335
+ ู‚ุงุฏุฑูŠู† ุนู„ู‰ ุฅูŠุฌุงุฏ ุนู„ุงุฌ ู„ู„ุณุฑุทุงู†ู„ุงุฒู… ุจุฏุงูŠุฉ ุชู… ูู‡ู…
336
+
337
+ 85
338
+ 00:08:09,540 --> 00:08:16,620
339
+ ุงู„ู…ุฑุถ ูŠุนู†ูŠ ุจุดูƒู„ ุตุญูŠุญ ูˆุจุดูƒู„ ุนู…ูŠู‚ there is a need to
340
+
341
+ 86
342
+ 00:08:16,620 --> 00:08:19,840
343
+ understand the disease and to translate our
344
+
345
+ 87
346
+ 00:08:19,840 --> 00:08:23,700
347
+ knowledge into effective therapies ู„ุฃู† ุฅุฐุง ูƒุงู†
348
+
349
+ 88
350
+ 00:08:23,700 --> 00:08:26,800
351
+ ุฅุญู†ุง ู…ุงุนุฑูู†ุงุด ุงู„ู…ุฑุถ ุจุดูƒู„ ุตุญูŠุญ ู…ุงุนุฑูู†ุงุด ุงู„
352
+
353
+ 89
354
+ 00:08:26,800 --> 00:08:32,160
355
+ molecular mechanisms ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ู‡ุง ุจุชูƒูˆู† ุฅู† ุงู„
356
+
357
+ 90
358
+ 00:08:32,160 --> 00:08:38,500
359
+ cancer ูŠุจู‚ู‰ ุนุดุงู†ุฅู† ุญุงุฑุจ ุงู„ู€ cancer ู‡ูŠูƒูˆู† ุงู„ุฃู…ุฑ ุตุนุจ
360
+
361
+ 91
362
+ 00:08:38,500 --> 00:08:43,060
363
+ In order to understand the process of
364
+
365
+ 92
366
+ 00:08:43,060 --> 00:08:45,700
367
+ carcinogenesis whereby a normal cell is
368
+
369
+ 93
370
+ 00:08:45,700 --> 00:08:49,540
371
+ transformed into a cancer cell, we must know the
372
+
373
+ 94
374
+ 00:08:49,540 --> 00:08:53,300
375
+ details of cell function and the molecular
376
+
377
+ 95
378
+ 00:08:53,300 --> 00:08:58,570
379
+ pathways that underlie itู…ุนุฑูุฉ ุงู„ุชูุงุตูŠู„
380
+
381
+ 96
382
+ 00:08:58,570 --> 00:09:03,150
383
+ ุงู„ู…ูˆู„ูŠูƒุงู„ูŠุฉ ููŠ ุทุฑู‚ูŠู† ู…ู‡ู…ุฉ ูˆุจูŠูˆ ูƒูŠู…ูŠุงุฆูŠุฉ ูŠู…ูƒู†
384
+
385
+ 97
386
+ 00:09:03,150 --> 00:09:07,070
387
+ ุชุทุจูŠู‚ู‡ุง ู„ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ู„ุชุทุจูŠู‚ ูƒุงู†ุณุฑ ุซุฑูŠุจุณ ูˆู‡ุฐุง ุงู„ูู‡ู…
388
+
389
+ 98
390
+ 00:09:07,070 --> 00:09:15,430
391
+ ู‡ูˆ ูุนู„ูŠู‹ุง ุงู„ู„ูŠ ู…ู…ูƒู† ูŠู‚ูˆุฏ ุฅู„ู‰ ูŠุนู†ูŠ ุนู„ุงุฌุงุช ุฌุฏูŠุฏุฉ ูˆ
392
+
393
+ 99
394
+ 00:09:15,430 --> 00:09:24,680
395
+ ุงู„ู„ูŠ ุชูƒูˆู† safe ูˆ effective ุทูŠุจ ู„ูˆ ุฌูŠู†ุงุญูƒูŠู†ุง ูƒุชุนุฑูŠู
396
+
397
+ 100
398
+ 00:09:24,680 --> 00:09:28,380
399
+ ู„ู€ Cancer Cancer is a group of diseases
400
+
401
+ 101
402
+ 00:09:28,380 --> 00:09:33,500
403
+ characterized by unregulated cell growth ูŠุนู†ูŠ ููŠู‡
404
+
405
+ 102
406
+ 00:09:33,500 --> 00:09:39,740
407
+ ุนุฏู… ุงู„ุชุญูƒู… ููŠ ุงู„ proliferation ู„ู„ุฎู„ุงูŠุง ูˆ ุจุงู„ุงุถุงูุฉ
408
+
409
+ 103
410
+ 00:09:39,740 --> 00:09:44,220
411
+ ู„ู„ invasion ุงู„ู„ู‰ ุจุชู‚ูˆู… ููŠ ุงู„ cancer cells ูˆ ุงู„ู„ู‰
412
+
413
+ 104
414
+ 00:09:44,220 --> 00:09:54,760
415
+ ุจุชู†ุชู‚ู„ ู…ู† ุฎู„ุงู„ู‡ ู…ู† ุงู„ primary site ุฅู„ู‰ุฃู…ุงูƒู† ุฃุฎุฑู‰ ูˆ
416
+
417
+ 105
418
+ 00:09:54,760 --> 00:09:57,380
419
+ ุงู„ู„ูŠ ุจูŠุณู…ู‰ ุจูŠู‡ ุงู„ metastasis
420
+
421
+ 106
422
+ 00:09:59,890 --> 00:10:03,590
423
+ ุงู„ู‚ู†ุตุฑ ูŠุนุชุจุฑ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู…ุนุงู†ุงุช ูˆุงุญู†ุง ุจุงู„ู…ุฌู…ู„
424
+
425
+ 107
426
+ 00:10:03,590 --> 00:10:07,710
427
+ ุจู†ู‚ูˆู„ cancer ู„ูƒู† ู‡ูˆ ูุนู„ูŠุง ู…ุด ู…ุฑุถ ูˆุงุญุฏ ูŠุนู†ูŠ ุฃู†ู‡
428
+
429
+ 108
430
+ 00:10:07,710 --> 00:10:13,510
431
+ ู„ุบุงูŠุฉ ุงู„ุขู† ุชู‚ุฑูŠุจุง over 200 types of cancer has
432
+
433
+ 109
434
+ 00:10:13,510 --> 00:10:17,510
435
+ been classified ูˆู‡ู†ุง ููŠู‡ link ู„ูˆ ุถุบุทูˆุง ุนู„ู‰ ุงู„ link
436
+
437
+ 110
438
+ 00:10:17,510 --> 00:10:22,890
439
+ ู‡ุฐุง ู‡ูŠุงุฎุฏูƒูˆุง ุนู„ู‰ ุตูุญุฉ ู…ู…ูƒู† ุชุดูˆููˆุง ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ
440
+
441
+ 111
442
+ 00:10:22,890 --> 00:10:25,890
443
+ ู…ู† ุงู„ cancer ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ
444
+
445
+ 112
446
+ 00:10:28,470 --> 00:10:30,710
447
+ The tissue of origin gives the distinguishing
448
+
449
+ 113
450
+ 00:10:30,710 --> 00:10:34,890
451
+ characteristics of the cancer ูŠุจู‚ู‰ ุนู†ุฏู†ุง 200 ู†ูˆุน
452
+
453
+ 114
454
+ 00:10:34,890 --> 00:10:41,090
455
+ ุฃูˆ ุฃูƒุชุฑ ู…ู† 200 ู†ูˆุน ู…ู† ุงู„ cancer ูˆุนู†ุฏู†ุง ุงู„ุฃู†ูˆุงุน
456
+
457
+ 115
458
+ 00:10:41,090 --> 00:10:47,490
459
+ ุงู„ู…ุฎุชู„ูุฉ ุจูŠู…ูŠุฒู‡ุง ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ุนู†ุฏู†ุง ูƒู„ ู†ูˆุน ู…ู†
460
+
461
+ 116
462
+ 00:10:47,490 --> 00:10:53,310
463
+ ุฃู†ูˆุงุน ุงู„ cancer ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ ุฎุตุงุฆุต ู…ุฎุชู„ูุฉ ุนู† ุงู„ู†ูˆุน
464
+
465
+ 117
466
+ 00:10:53,310 --> 00:10:58,900
467
+ ุงู„ุฃุฎุฑุงู„ู€ major types of cancer ู…ู…ูƒู† ู†ู‚ุณู…ู‡ุง ุฅู„ู‰
468
+
469
+ 118
470
+ 00:10:58,900 --> 00:11:04,560
471
+ ุซู„ุงุซ ุฃู‚ุณุงู… ุฅู†ู‡ ุงู„ู€ carcinomas, sarcomas ูˆ ุงู„ู€
472
+
473
+ 119
474
+ 00:11:04,560 --> 00:11:10,600
475
+ hematopoietic cancers ุงู„ู„ูŠ ุจู…ุซู„ ู†ุณุจุฉ ุงู„ุฃูƒุจุฑ ู…ู†
476
+
477
+ 120
478
+ 00:11:10,600 --> 00:11:14,260
479
+ ุงู„ุฃู†ูˆุงุน ู‡ูˆ ุงู„ู€ carcinoma ูˆ ุงู„ู„ูŠ ุจู…ุซู„ 85% of
480
+
481
+ 121
482
+ 00:11:14,260 --> 00:11:19,590
483
+ cancers occur in epithelial cellsูˆุนู†ุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
484
+
485
+ 122
486
+ 00:11:19,590 --> 00:11:23,290
487
+ ู‡ูˆ ุงู„ cancers ุงู„ู„ูŠ ุจุชุตูŠุจ ู„ู€ skin ุฃูˆ ุจุชุตูŠุจ ู„ูŠู‡ ุงู„
488
+
489
+ 123
490
+ 00:11:23,290 --> 00:11:27,290
491
+ covering and lining of organs and internal
492
+
493
+ 124
494
+ 00:11:27,290 --> 00:11:30,610
495
+ passageways ุงู„ู„ูŠ ู‡ูˆ ุงู„ lining ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ lining
496
+
497
+ 125
498
+ 00:11:30,610 --> 00:11:35,710
499
+ ู…ุซู„ุง ู„ู„ู€ gastrointestinal tract ุฃูˆ ู„ู„ูŠู‡ ุงู„ู…ู…ุฑุงุช
500
+
501
+ 126
502
+ 00:11:35,710 --> 00:11:42,690
503
+ ุงู„ู‡ูˆุงุฆูŠุฉ ููŠ ุฅุฑุฆุชูŠู† ุงู„ู†ูˆุน ุงู„ุชุงู†ูŠ Sarcomas derived
504
+
505
+ 127
506
+ 00:11:42,690 --> 00:11:48,000
507
+ from mesoderm cellsุฒูŠ ุฃู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ bone ูˆ ุงู„
508
+
509
+ 128
510
+ 00:11:48,000 --> 00:11:53,000
511
+ muscles ูˆ ุจูŠู…ุซู„ ุชู‚ุฑูŠุจุง 2% ูŠุจู‚ู‰ originates in
512
+
513
+ 129
514
+ 00:11:53,000 --> 00:11:56,220
515
+ supportive and connective tissue ูˆ ุฒูŠ ู…ุง ู‚ู„ู†ุง
516
+
517
+ 130
518
+ 00:11:56,220 --> 00:12:00,140
519
+ ุฃู…ุซู„ุฉ ุงู„ bones ูˆ ุงู„ tendons ูˆ ุงู„ cartilage ูˆ ุงู„
520
+
521
+ 131
522
+ 00:12:00,140 --> 00:12:04,930
523
+ muscle ูˆ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูŠ ู…ุน ุงู„ุชูˆุจูŠูˆุชูƒุนู†ุง
524
+
525
+ 132
526
+ 00:12:04,930 --> 00:12:09,570
527
+ ุงู„ู„ูˆูƒูŠู…ูŠุง ุงู„ู„ูŠ ุจุชู…ุซู„ ุชู‚ุฑูŠุจุง ุฎู…ุณุฉ ุจุงู„ู…ูŠุฉ ูˆ ุงู„ู„ูŠ
528
+
529
+ 133
530
+ 00:12:09,570 --> 00:12:14,430
531
+ ุจุชุตูŠุจ ุงู„ bodies blood forming tissues ูˆุนู†ุง
532
+
533
+ 134
534
+ 00:12:14,430 --> 00:12:19,190
535
+ ุงู„ู„ูŠู…ููˆู…ุฉ ุชู‚ุฑูŠุจุง ุฃุฑุจุนุฉ ุจุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ cancer of
536
+
537
+ 135
538
+ 00:12:19,190 --> 00:12:24,530
539
+ lymphoid tissue ุฒูŠ
540
+
541
+ 136
542
+ 00:12:24,530 --> 00:12:28,150
543
+ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃู† ุงู„ cancers of different
544
+
545
+ 137
546
+ 00:12:28,150 --> 00:12:33,820
547
+ origins have distinct features ูŠุนู†ูŠ ุญุณุจูˆูŠู† ุงู„ู€
548
+
549
+ 138
550
+ 00:12:33,820 --> 00:12:39,100
551
+ Primary Site ู„ู€ ุงู„ู€ Cancer ููŠู‡ ุฎุตุงุฆุต ู…ู…ูŠุฒุฉ ู„ู‡ุง
552
+
553
+ 139
554
+ 00:12:43,580 --> 00:12:47,300
555
+ ุฅู† ุงู„ู€ skin cancer has many characteristics that
556
+
557
+ 140
558
+ 00:12:47,300 --> 00:12:53,040
559
+ differ from lung cancer ูŠุจู‚ู‰ ุงู„ุฎุตุงุฆุต ูุนู„ูŠู‹ุง ู…ุฎุชู„ูุฉ
560
+
561
+ 141
562
+ 00:12:53,040 --> 00:12:57,900
563
+ ู„ู„ู€ skin cancer ุนู† ุงู„ lung cancer the major factor
564
+
565
+ 142
566
+ 00:12:57,900 --> 00:13:00,260
567
+ that causes cancer in each target tissue is
568
+
569
+ 143
570
+ 00:13:00,260 --> 00:13:04,260
571
+ different ูŠุจู‚ู‰ ุงู„ู…ุณุจุจ ูƒู…ุงู† ู…ุฎุชู„ู ูŠุนู†ูŠ ุฅุฐุง ูƒู†ุง ู†ุญูƒูŠ
572
+
573
+ 144
574
+ 00:13:04,260 --> 00:13:08,280
575
+ ุนู† ู…ู…ูƒู† ุงู„ู…ุณุจุจ ู„ู„ skin cancer ููŠ ุนู†ุฏู†ุง ุงู„
576
+
577
+ 145
578
+ 00:13:08,280 --> 00:13:15,180
579
+ ultraviolet radiation from the sunุจูŠู†ู…ุง ุจุงู„ู†ุณุจุฉ
580
+
581
+ 146
582
+ 00:13:15,180 --> 00:13:19,260
583
+ ู„ู„ู…ุณุจุจ ุงู„ุฃุณุงุณูŠ ุงู„ู„ู‰ ุงู„ lung cancer inhalation of
584
+
585
+ 147
586
+ 00:13:19,260 --> 00:13:23,320
587
+ cigarette smoke ุฃูˆ ู…ู…ูƒู† ูŠุนู†ูŠ ุงู„ carcinogenic
588
+
589
+ 148
590
+ 00:13:23,320 --> 00:13:30,410
591
+ chemicals ุงู„ุฃุฎุฑู‰ ุงู„ู…ุฎุชู„ูุฉุฃูŠุถู‹ุง ู„ู…ุง ุจู†ุงู†ูŠุด ู†ุญูƒูŠ ุนู„ู‰
592
+
593
+ 149
594
+ 00:13:30,410 --> 00:13:35,830
595
+ ุงู„ุงุฎุชู„ุงูุงุช ุฃุฏู‰ molecular mechanisms ูˆ ุงู„ molecular
596
+
597
+ 150
598
+ 00:13:35,830 --> 00:13:41,130
599
+ mechanisms ุงู„ู„ูŠ ุฃุฏุช ุฅู„ู‰ ุญุฏูˆุซ ุงู„ ุงู„ cancer ูˆ ุงู„
600
+
601
+ 151
602
+ 00:13:41,130 --> 00:13:45,770
603
+ spread ุจุฑุถู‡ ููŠ ู‡ู†ุง ุฅู† ู‡ู†ุงูƒ ุงุฎุชู„ุงูุงุช ุจู…ุง ูŠุชุนู„ู‚
604
+
605
+ 152
606
+ 00:13:45,770 --> 00:13:49,570
607
+ ุจู‡ุฏูˆู„ ุงู„ุนู…ู„ูŠุชูŠู† ุณูˆุงุก ุงู„ู„ูŠ ู‡ูˆ ุงู„ mechanisms ู„ ุงู„
608
+
609
+ 153
610
+ 00:13:49,570 --> 00:13:54,250
611
+ carcinogenesis ุฃูˆ ุงู„ metastases ุฃูˆ ุงู„ spread ู„
612
+
613
+ 154
614
+ 00:13:54,250 --> 00:14:00,010
615
+ other sitesูˆุจุงู„ุชุงู„ูŠ ู…ุง ุฒุงู„ ุงู„ู€ molecular mechanism
616
+
617
+ 155
618
+ 00:14:00,010 --> 00:14:05,790
619
+ ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰ ูƒู…ุงู† ู„ู„ treatment ูˆุงุณุชู‡ุฏุงู ุงู„ cancers
620
+
621
+ 156
622
+ 00:14:05,790 --> 00:14:19,590
623
+ ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ุจูŠุชุทู„ุจ ุงุณุชุฑุงุชูŠุฌูŠุงุช ู…ุฎุชู„ูุฉ ุทูŠุจุŒ
624
+
625
+ 157
626
+ 00:14:19,590 --> 00:14:23,190
627
+ ุนู†ุฏู†ุง ุงู„ู†ู‚ุทุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ุจู†ุญูƒูŠ ุนู„ูŠู‡ุง ู‡ูŠ the whole
628
+
629
+ 158
630
+ 00:14:23,190 --> 00:14:24,770
631
+ marks of cancer
632
+
633
+ 159
634
+ 00:14:28,000 --> 00:14:29,300
635
+ ุจุงู„ุชุงู„ูŠุŒ ุญุชู‰ ู„ูˆ ุฃุณุงุณ ุงู„ุฃุณุงุณุงุช ุงู„ู‡ูˆุงุฆูŠุฉ
636
+
637
+ 160
638
+ 00:14:29,300 --> 00:14:34,840
639
+ ูˆุงู„ู…ูˆู„ูŠูƒุงู„ูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ู…ุฎุชู„ูุฉุŒ ู†ุชูŠุฌุฉ ุงู„ู†ู‡ุงูŠุฉ ู‡ูŠ
640
+
641
+ 161
642
+ 00:14:34,840 --> 00:14:40,180
643
+ ู†ูุณู‡ุง. ูŠุจู‚ู‰ ุฃู†ู†ุง ุงุชูู‚ู†ุง ุฃู† ุงู„ู€ mechanisms ู…ู…ูƒู†
644
+
645
+ 162
646
+ 00:14:40,180 --> 00:14:43,960
647
+ ุงู„ู„ูŠ ู‡ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ ุงู„ู€ cancerุŒ ุงู„ mechanisms
648
+
649
+ 163
650
+ 00:14:43,960 --> 00:14:53,280
651
+ ู…ุฎุชู„ูุฉุŒ ู„ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ ุงู„ู†ุชูŠุฌุฉ ู„ู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู‡ูŠ
652
+
653
+ 164
654
+ 00:14:53,280 --> 00:15:01,330
655
+ ู†ุชูŠุฌุฉ ูˆุงุญุฏุฉ.ูˆู‡ุฐุง ุงู„ู€ figure ุจูŠูˆุถู‘ุญ ู„ู†ุง ุงู„ู€ whole
656
+
657
+ 165
658
+ 00:15:01,330 --> 00:15:10,210
659
+ marks of cancer ู„ุฏูŠู†ุง ุงู„ุฎุงุตูŠุฉ ุงู„ุฃูˆู„ู‰ Growth Signal
660
+
661
+ 166
662
+ 00:15:10,210 --> 00:15:15,550
663
+ Autonomy ู‡ุฏูˆู„ ู‡ู†ุฐูƒุฑู‡ู… ู„ุฃู†ู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ู… ุงู„ุขู†
664
+
665
+ 167
666
+ 00:15:15,550 --> 00:15:21,650
667
+ ุจุงู„ุชูุตูŠู„ ุดูˆูŠุฉ ูŠุจู‚ู‰ Growth Signal Autonomy Invasion
668
+
669
+ 168
670
+ 00:15:21,650 --> 00:15:27,680
671
+ of Growth Inhibitory SignalsููŠ ุนู†ุฏู†ุง Invasion of
672
+
673
+ 169
674
+ 00:15:27,680 --> 00:15:32,500
675
+ cell death Unlimited replicative potential
676
+
677
+ 170
678
+ 00:15:32,500 --> 00:15:40,180
679
+ Angiogenesis ูˆ Invasion and metastasis ูˆู‡ุฏูˆู„ ู…ู…ูƒู†
680
+
681
+ 171
682
+ 00:15:40,180 --> 00:15:46,360
683
+ ู†ุณู…ูŠู‡ู… ุฃูŠุถุง essential for carcinogenesis ุจูŠุฏูˆู„
684
+
685
+ 172
686
+ 00:15:46,360 --> 00:15:52,260
687
+ ุฎุตุงุฆุต ู…ู‡ู…ุฉ ู„ุชูƒูˆูŠู† ุฃูŠ cancer ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฎุตุงุฆุต ุงู„ุณุชุฉ
688
+
689
+ 173
690
+ 00:15:52,260 --> 00:15:59,210
691
+ ู‡ุฏูˆู„ุงู„ุงู† ููŠ ุนู†ุฏู†ุง ุฎุงุตูŠุชูŠู† ุชุงู†ูŠู† ู‡ุฏูˆู„ ู…ู…ูƒู† ู†ุณู…ูŠู‡ู…
692
+
693
+ 174
694
+ 00:15:59,210 --> 00:16:03,810
695
+ enabling characteristics ูˆ enabling
696
+
697
+ 175
698
+ 00:16:03,810 --> 00:16:11,590
699
+ characteristics ูŠุนู†ูŠ ุฎุตุงุฆุต ุชู…ูƒูŠู†ูŠุฉ it enable the
700
+
701
+ 176
702
+ 00:16:11,590 --> 00:16:19,210
703
+ whole marks to happen ุนุดุงู† ุชุญุตู„ ุงู„ 6 marks ู‡ุฏูˆู„
704
+
705
+ 177
706
+ 00:16:19,210 --> 00:16:28,340
707
+ ุจุฏุงูŠุฉ ู„ุงุจุฏ ู…ู† ุญุตูˆู„ู‡ุฏูˆู„ ุงู„ marks ุนุงู‚ุจู‰ ู‡ุฏูˆู„ ุจู†ุณู…ูŠู‡ู…
708
+
709
+ 178
710
+ 00:16:28,340 --> 00:16:33,260
711
+ enabling characteristics ุงู„ู„ู‰ ุชุนุชุจุฑ ุญุงุณู…ุฉ ุงู„ุงูƒุชุณุงุจ
712
+
713
+ 179
714
+ 00:16:33,260 --> 00:16:39,540
715
+ ุงู„ุณู…ุงุฏู‡ ุงู„ู…ู…ูŠุฒู‡ ุงู„ุณุชู‡ ู„ู„ุณุฑุทุงู† ูู‰ ุฃู†ู†ุง ู…ูŠุฒุชูŠู†
716
+
717
+ 180
718
+ 00:16:39,540 --> 00:16:46,940
719
+ ุชุงู†ูŠูŠู† ุงู„ู„ู‰ ุจูŠุทู„ู‚ ุนู„ูŠู‡ู… emerging hall marks ูˆุนู†ุง
720
+
721
+ 181
722
+ 00:16:46,940 --> 00:16:48,840
723
+ ุงู„ emerging hall marks
724
+
725
+ 182
726
+ 00:16:51,770 --> 00:16:56,890
727
+ ูŠุนู†ูŠ ุชู… ุชุณู…ูŠุชู‡ู… ุจู‡ุฐุง ุงู„ุงุณู… Emerging Hallmarks
728
+
729
+ 183
730
+ 00:16:56,890 --> 00:17:00,190
731
+ because their relationship to the established six
732
+
733
+ 184
734
+ 00:17:00,190 --> 00:17:03,170
735
+ hallmarks mentioned previously required further
736
+
737
+ 185
738
+ 00:17:03,170 --> 00:17:08,590
739
+ research ุฃุบู„ู‚ ุงู„ู€ Emerging ูŠุนู†ูŠ ู„ุณู‡ ูŠุนู†ูŠ ู†ูˆุนู‹ุง ู…ุง
740
+
741
+ 186
742
+ 00:17:08,590 --> 00:17:13,230
743
+ ุฅุฌุฏุงุฏ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ุจู†ุญุชุงุฌ ุฅู„ู‰ more research ุนุดุงู†
744
+
745
+ 187
746
+ 00:17:13,230 --> 00:17:19,230
747
+ ูŠุตูŠุฑ ููŠู‡ ุฃู†ู†ุง ูู‡ู… ูŠุนู†ูŠ ุฃูƒุจุฑ ูˆุฃุนู…ู‚ ู„ู‡ุฏูˆู„ ุงู„ุฎุงุตูŠุชูŠู†
748
+
749
+ 188
750
+ 00:17:19,720 --> 00:17:23,980
751
+ ูŠุจูŠู‡ ู‡ุฏูˆู„ ุงู„ุฎุตุงุฆุต ุงู„ู…ุฎุชู„ูุฉ ู‚ู„ู†ุง ุงู„ู€ Essential for
752
+
753
+ 189
754
+ 00:17:23,980 --> 00:17:27,140
755
+ carcinogenesis ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุชุฉ ุงู„ู‡ูˆู„ู…ุงุฑูƒุณ ูˆููŠู‡ ุนู†ุฏู†ุง
756
+
757
+ 190
758
+ 00:17:27,140 --> 00:17:30,740
759
+ ุงู„ enabling characteristics ู„ู…ุง ู‡ุฏูˆู„ ุจูŠู…ูƒู†ูˆุง ุงู„ุณุชุฉ
760
+
761
+ 191
762
+ 00:17:30,740 --> 00:17:34,660
763
+ characteristics ุฃู†ู‡ู… ุตูŠ๏ฟฝ๏ฟฝูˆุง ูˆุนู†ุฏู†ุง ุงู„ imagining
764
+
765
+ 192
766
+ 00:17:34,660 --> 00:17:37,700
767
+ hallmarks ุงู„ู„ูŠ ู†ูˆุนุง ู…ุง ูŠุนุชุจุฑูˆุง ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง
768
+
769
+ 193
770
+ 00:17:37,700 --> 00:17:42,480
771
+ ุญุฏูŠุซูŠู† ูˆุจุงู„ุชุงู„ูŠ ุจูŠุญุชุงุฌูˆุง ุฅู„ู‰ more research ูŠุนู†ูŠ
772
+
773
+ 194
774
+ 00:17:42,480 --> 00:17:50,210
775
+ ุนุดุงู† ูŠุตูŠุฑ ุนู†ุฏู†ุง ูู‡ู… ุฃูƒุจุฑ ู„ู‡ู…ุทูŠุจ ุงู„ enabling
776
+
777
+ 195
778
+ 00:17:50,210 --> 00:17:55,730
779
+ characteristics ููŠ ุนู†ุฏู†ุง ุงู„ genome instability and
780
+
781
+ 196
782
+ 00:17:55,730 --> 00:18:00,490
783
+ mutations ูŠุนู†ูŠ ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุงุงู„ู€ cancer ุฒูŠ ู…ุง
784
+
785
+ 197
786
+ 00:18:00,490 --> 00:18:05,490
787
+ ู‡ู†ุดูˆู ุฎู„ุงู„ ุงู„ู…ุญุงุถุฑุงุช ุงู„ู…ุฎุชู„ูุฉ ุจุฏ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
788
+
789
+ 198
790
+ 00:18:05,490 --> 00:18:09,450
791
+ genome instability ุจุฏ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutations ููŠ
792
+
793
+ 199
794
+ 00:18:09,450 --> 00:18:14,450
795
+ ุฌูŠู†ุงุช ู…ุฎุชู„ูุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ oncogenes ููŠ ุนู†ุฏู†ุง
796
+
797
+ 200
798
+ 00:18:14,450 --> 00:18:17,930
799
+ ู…ู…ูƒู† ูŠุตูŠุฑ ุจุงู„ูŠ tumor suppressor genes ูˆู‡ุฐู‡ ู‡ู†ุดูˆู
800
+
801
+ 201
802
+ 00:18:17,930 --> 00:18:21,630
803
+ ุทุจุนุง ุจุฑุถู‡ ูŠุนู†ูŠ ู„ู…ุง ู†ุญูƒูŠ ุจุงู„ุชูุตูŠู„ ุจุงู„ู…ุญุงุถุฑุงุช
804
+
805
+ 202
806
+ 00:18:21,630 --> 00:18:27,460
807
+ ุงู„ู…ุฎุชู„ูุฉ ู‡ู†ุดูˆู ูƒูŠู ุจุงู„ู†ู‡ุงูŠุฉ ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซุงู„ู€
808
+
809
+ 203
810
+ 00:18:27,460 --> 00:18:30,720
811
+ cancer ูˆ ุจุชู‚ุฏูŠ ุฅู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ hallmarks ุงู„ู„ูŠ ู‡ูŠ
812
+
813
+ 204
814
+ 00:18:30,720 --> 00:18:34,660
815
+ ุงู„ุณุชุฉ hallmarks ู‡ุฐู‡ of cancer ูุงู„ุชุบูŠุฑุงุช ุงู„ู„ูŠ ู‡ุชุตูŠุฑ
816
+
817
+ 205
818
+ 00:18:34,660 --> 00:18:40,900
819
+ ู‡ุงู† ุชู…ุงู… ู‡ูŠ ุงู„ู„ูŠ ู‡ุชุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ ุงู„ุฎุตุงุฆุต ุงู„ู…ุฎุชู„ูุฉ
820
+
821
+ 206
822
+ 00:18:40,900 --> 00:18:47,380
823
+ ุงู„ู„ูŠ ุจุชู…ูŠุฒ ุงู„ cancer ุฃูŠุถุง ุนู†ุฏู†ุง ู…ู† ุงู„ enabling
824
+
825
+ 207
826
+ 00:18:47,380 --> 00:18:50,460
827
+ characteristics ุงู„ู„ูŠ ู‡ูŠ tumor promoting
828
+
829
+ 208
830
+ 00:18:50,460 --> 00:18:56,790
831
+ inflammationุงู„ู…ูุฑูˆุถ ูˆุงู„ู…ุชูˆู‚ุน ุฃู†ู‡ ู„ู…ุง ูŠุตูŠุฑ ููŠู‡ ุงู†ู‡
832
+
833
+ 209
834
+ 00:18:56,790 --> 00:19:02,670
835
+ inflammation ุชู…ุงู… ู‡ูˆ ุงู„ ูŠุนู†ูŠ ู…ู† ุฎู„ุงู„ ุงู„
836
+
837
+ 210
838
+ 00:19:02,670 --> 00:19:07,210
839
+ inflammation ุงู„ body is trying to get rid of the
840
+
841
+ 211
842
+ 00:19:07,210 --> 00:19:11,290
843
+ cancer ุงู‡ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง inflammation ู„ุฃู†ู‡ ุงู„ุฌุณู…
844
+
845
+ 212
846
+ 00:19:11,290 --> 00:19:15,580
847
+ ู…ู† ุฎู„ุงู„ ุงู„ inflammation ู…ู…ูƒู† ุจูŠุญุงุฑุจุจุญุงุฑุจ ุงู„ุจูƒุชูŠุฑูŠุง
848
+
849
+ 213
850
+ 00:19:15,580 --> 00:19:19,020
851
+ ู…ู…ูƒู† ุจุญุงุฑุจ ุงู„ุฎู„ุงูŠุง ุงู„ู€ foreign cells ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
852
+
853
+ 214
854
+ 00:19:19,020 --> 00:19:25,100
855
+ cancer ู„ูƒู† ุงู„ู„ูŠ ุชู… ุงูƒุชุดุงูู‡ ุงู†ู‡ ุงู„ inflammation ู‡ุฐู‡
856
+
857
+ 215
858
+ 00:19:25,100 --> 00:19:30,740
859
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ุจูŠู† ุทุจุนุง ุงู„ chronic inflammation ูˆ
860
+
861
+ 216
862
+ 00:19:30,740 --> 00:19:36,020
863
+ ุจูŠู† ุญุฏูˆุซ ุงู„ cancer ูˆ ู…ู† ุงู„ู…ุซุงู„ูŠู† ุงูˆ ููŠ ู…ุซุงู„ูŠู† ูŠุนู†ูŠ
864
+
865
+ 217
866
+ 00:19:36,020 --> 00:19:39,960
867
+ ู…ู† ุฎู„ุงู„ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุฑุถู‡ ุฏุฑุงุณุชู†ุง ู‡ู†ุชุฑู‚ู„ู‡ู… ุงู„ู„ูŠ ู‡ูˆ
868
+
869
+ 218
870
+ 00:19:39,960 --> 00:19:43,500
871
+ ุงู„ helicobacter pylori ูˆ ุงู„ hepatitis B
872
+
873
+ 219
874
+ 00:19:46,020 --> 00:19:51,540
875
+ ุทูŠุจุŒ ุงู„ุขู† ุจู…ุง ูŠุชุนู„ู‚ ุจุงู„ู€Emerging Hallmarks ููŠู‡
876
+
877
+ 220
878
+ 00:19:51,540 --> 00:19:55,560
879
+ ุฃู†ู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€Reprogramming Energy Metabolism
880
+
881
+ 221
882
+ 00:19:55,560 --> 00:20:00,320
883
+ ูˆุงู„ู„ูŠ ุงุญู†ุง ุนุงุฑููŠู†ู‡ ูŠุจู‚ู‰ ู‡ู† ุจูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ุง ุฒูŠ ุฅุนุงุฏุฉ
884
+
885
+ 222
886
+ 00:20:00,320 --> 00:20:06,320
887
+ ุจุฑู…ุฌุฉ ู„ู„ุทุงู‚ุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุฌุณู… ุงู„ู€cancer cells
888
+
889
+ 223
890
+ 00:20:06,320 --> 00:20:12,940
891
+ ุจุชุญุชุงุฌ ุฅู„ู‰ ุทุงู‚ุฉ ุจุดูƒู„ ูƒุจูŠุฑ ุนุดุงู† ุชุณุชู…ุฑ ุฃูˆ ุชุณุชู…ุฑ
892
+
893
+ 224
894
+ 00:20:12,940 --> 00:20:18,570
895
+ ุงู„ุฎู„ุงูŠุง ุจู€proliferationูˆุงู„ู€ Cancer ุจูŠุญุตู„ ุนู„ู‰
896
+
897
+ 225
898
+ 00:20:18,570 --> 00:20:23,110
899
+ ุงู„ุทุงู‚ุฉ ุญุชู‰ ููŠ ูˆุฌูˆุฏ Hypoxia ูŠุจู‚ู‰ ุญุชู‰ ููŠ ูˆุฌูˆุฏ ู†ู‚ุต ููŠ
900
+
901
+ 226
902
+ 00:20:23,110 --> 00:20:29,050
903
+ ุงู„ Oxygen ู…ู…ูƒู† ุงู„ cancer cells ุชุญุตู„ ุนู„ู‰ ุงู„ุทุงู‚ุฉ ูˆ
904
+
905
+ 227
906
+ 00:20:29,050 --> 00:20:32,950
907
+ ู‡ุฐุง ู…ู…ูƒู† ูŠูƒูˆู† ู…ู† ุฎู„ุงู„ ุทุจุนุง ุงู„ anaerobic glycosis
908
+
909
+ 228
910
+ 00:20:32,950 --> 00:20:37,890
911
+ ุตุญูŠุญ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ู‡ุชุญุตู„ ุนู„ูŠู‡ุง ู‚ู„ูŠู„ุฉ ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ
912
+
913
+ 229
914
+ 00:20:37,890 --> 00:20:43,190
915
+ ุจุชุณุชุฎุฏู…ู‡ุง ุงู„ cancer cells ู„ู„ุญุตูˆู„ ุฃูŠุถุง ุฃูˆ ูŠุนู†ูŠ
916
+
917
+ 230
918
+ 00:20:43,190 --> 00:20:45,430
919
+ ูƒู…ุตุฏุฑ ู„ู„ุทุงู‚ุฉ
920
+
921
+ 231
922
+ 00:20:47,770 --> 00:20:53,450
923
+ ูŠุจู‚ู‰ ุงู„ ุงู„ cancer ุจูŠุญุชุงุฌ ุฅู„ู‰ ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู† ุงู„
924
+
925
+ 232
926
+ 00:20:53,450 --> 00:21:04,450
927
+ glucose ูˆู‡ุฐู‡ ุงู„ุฎุงุตูŠุฉ ุณู…ุญุช ุจูŠุนู†ูŠ ุชูƒูˆูŠู† ุทุฑูŠู‚ุฉ
928
+
929
+ 233
930
+ 00:21:04,450 --> 00:21:11,150
931
+ ู…ู…ูƒู† ู„ุงูƒุชุดุงู ูŠุนู†ูŠ ุฃู…ุงูƒู† ุชูˆุงุฌุฏ ุงู„ cancer ุงู„ู„ูŠ ูŠุชุณู…ู‰
932
+
933
+ 234
934
+ 00:21:11,480 --> 00:21:16,240
935
+ Positron emission tomography scan for cancer ูˆ
936
+
937
+ 235
938
+ 00:21:16,240 --> 00:21:19,960
939
+ ุงู„ู„ูŠ ุจูŠูุนุทู‰ ููŠู‡ุง ุงู„ู…ุฑูŠุถ labelled glucose ุจูŠุตูŠุฑ
940
+
941
+ 236
942
+ 00:21:19,960 --> 00:21:24,840
943
+ injection ู„ labelled glucose ููŠ ุงู„ุฌุณู… ูˆ ุทุจุนุง ู‡ุฐุง
944
+
945
+ 237
946
+ 00:21:24,840 --> 00:21:27,980
947
+ ุงู„ glucose ูˆูŠู† ู‡ูŠุช๏ฟฝ๏ฟฝู…ุน ุจูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูˆูŠู†
948
+
949
+ 238
950
+ 00:21:27,980 --> 00:21:31,620
951
+ ููŠู‡ ุนู†ุฏูŠ cancer ู„ุฃู† ุงู„ cancer ุจูŠุญุชุงุฌ ู„ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ
952
+
953
+ 239
954
+ 00:21:31,620 --> 00:21:38,410
955
+ ู…ู† ุงู„ glucoseูˆุจุงู„ุชุงู„ูŠ ู…ู† ุฎู„ุงู„ ุงู„ู€ Tomography Scan
956
+
957
+ 240
958
+ 00:21:38,410 --> 00:21:43,950
959
+ ู…ู…ูƒู† ูŠุชู… ุชุญุฏูŠุฏ ู…ูƒุงู† ุงู„ุชุฌู…ุน ูƒู…ูŠุงุช ูƒุจูŠุฑุฉ ู…ู† ุงู„ู€
960
+
961
+ 241
962
+ 00:21:43,950 --> 00:21:49,970
963
+ Glucose ูˆุจุงู„ุชุงู„ูŠ ู…ูƒุงู† ุงู„ู€ Cancer ุฃูŠุถู‹ุง ู…ู† ุงู„ู€
964
+
965
+ 242
966
+ 00:21:49,970 --> 00:21:54,770
967
+ Emerging Hallmarks ููŠ ุนู†ุฏู†ุง ุงู„ู€ Avoiding Immune
968
+
969
+ 243
970
+ 00:21:54,770 --> 00:22:03,160
971
+ Destruction ูƒูŠู ุงู„ู€ Cancer Cellsุจุชุชุฌู†ุจ ุงู†ู‡ ุงุชู…
972
+
973
+ 244
974
+ 00:22:03,160 --> 00:22:08,300
975
+ ุงู„ุชุนุฑู ุนู„ูŠู‡ุง ูˆ ุงุชู… ุชุฏู…ูŠุฑู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ
976
+
977
+ 245
978
+ 00:22:08,300 --> 00:22:13,720
979
+ ู„ุฃู†ู‡ ุจุงู„ุงุณุงุณ ุงุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุง ุงูŠ ุชุบูŠุฑ ููŠ ุฎู„ูŠุฉ
980
+
981
+ 246
982
+ 00:22:13,720 --> 00:22:18,160
983
+ ุงู„ู…ูุฑูˆุถ ุงู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ู†ุงุนูŠ ูŠุชุนุฑู ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฎู„ูŠุฉ ูˆ
984
+
985
+ 247
986
+ 00:22:18,160 --> 00:22:23,480
987
+ ูŠุนู…ู„ ุนู„ู‰ ุชุฏู…ูŠุฑู‡ุงูŠุจู‚ู‰ ูƒูŠู ู…ู…ูƒู† ู†ุตูŠุฑ ููŠู‡ ุฃู†ู†ุง
988
+
989
+ 248
990
+ 00:22:23,480 --> 00:22:27,280
991
+ Avoiding ู„ู„ู€immune system ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€immune
992
+
993
+ 249
994
+ 00:22:27,280 --> 00:22:31,820
995
+ destruction ู‡ุฐู‡ ุชุนุชุจุฑ ู…ู† ุงู„ emerging hallmarks ูˆุฒูŠ
996
+
997
+ 250
998
+ 00:22:31,820 --> 00:22:37,600
999
+ ู…ุง ู‚ู„ู†ุง ุงู„ู„ูŠ ุจุชุญุชุงุฌ more research ุทูŠุจุŒ ู‡ู†ุญูƒูŠ ุงู„ุขู†
1000
+
1001
+ 251
1002
+ 00:22:37,600 --> 00:22:44,460
1003
+ ุนู„ู‰ ุงู„ hallmarks ุงู„ู„ูŠ ู‡ูˆ ุงู„ุณุชุฉ ูŠุนู†ูŠ ุจุชูุตูŠู„ ุดูˆูŠุฉ ูˆ
1004
+
1005
+ 252
1006
+ 00:22:44,460 --> 00:22:50,950
1007
+ ู‡ู†ุจุฏุฃ ุจุงู„ู€ Growth Signal AutonomyุทูŠุจุŒ ุงู„ุขู† ุจุดูƒู„
1008
+
1009
+ 253
1010
+ 00:22:50,950 --> 00:22:58,250
1011
+ ุทุจูŠุนูŠ ูˆ ุนุดุงู† ูŠุตูŠุฑ ููŠู†ุง ุงู†ู‚ุณุงู… ู„ ุงู„ุฎู„ูŠุฉ ู„ุงุจุฏ ู…ู†
1012
+
1013
+ 254
1014
+ 00:22:58,250 --> 00:23:04,670
1015
+ ุงุฑุชุจุงุท Growth Factor ุจู€ Receptor ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ cell
1016
+
1017
+ 255
1018
+ 00:23:04,670 --> 00:23:09,910
1019
+ membrane ู„ ุงู„ุฎู„ูŠุฉ ูˆ ุงู„ activation ู„ ู‡ุฐุง ุงู„
1020
+
1021
+ 256
1022
+ 00:23:09,910 --> 00:23:15,970
1023
+ receptor ู‡ูŠุนู…ู„ ุนู„ู‰ ุชูˆู„ูŠุฏ signal ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ
1024
+
1025
+ 257
1026
+ 00:23:15,970 --> 00:23:23,080
1027
+ ุงู„ signal ู‡ุฐู‡ ู‡ูŠุชู… ุชู…ุฑูŠุฑู‡ุงุนุจุฑ ุงู„ู€ cascade ู…ู†
1028
+
1029
+ 258
1030
+ 00:23:23,080 --> 00:23:29,860
1031
+ ุงู„ุจุฑูˆุชูŠู†ุฒ ู„ุบุงูŠุฉ ู…ุง ุชุตู„ ุงู„ signal ุฅู„ู‰ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ
1032
+
1033
+ 259
1034
+ 00:23:29,860 --> 00:23:34,460
1035
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง activation ู„ู€ transcription factors
1036
+
1037
+ 260
1038
+ 00:23:34,460 --> 00:23:39,360
1039
+ ูˆูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง ุฅู†ุชุงุฌ ู„ุจุฑูˆุชูŠู†ุฒ ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ
1040
+
1041
+ 261
1042
+ 00:23:39,360 --> 00:23:44,140
1043
+ cell cycle ูˆ proliferation ู„ ุงู„ุฎู„ุงูŠุง ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู„ูŠ
1044
+
1045
+ 262
1046
+ 00:23:44,140 --> 00:23:49,230
1047
+ ุจูŠุตูŠุฑ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ูƒู† ููŠ ุญุงู„ุงู„ุญุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุญุฏูˆุซ ู„ู€
1048
+
1049
+ 263
1050
+ 00:23:49,230 --> 00:23:55,050
1051
+ CancerุŒ ุฅู† ุงู„ู€ Normal Cells ุฃูˆ ููŠ ุญุงู„ ุงู„ู€ CancerุŒ
1052
+
1053
+ 264
1054
+ 00:23:55,050 --> 00:23:57,610
1055
+ Cancer Cells are not dependent on normal growth
1056
+
1057
+ 265
1058
+ 00:23:57,610 --> 00:24:02,810
1059
+ factor signalingูŠุจู‚ู‰ ุงู„ุฎู„ุงูŠุง ู…ุด ู‡ุชุญุชุงุฌ ู„ู‡ ุงู„growth
1060
+
1061
+ 266
1062
+ 00:24:02,810 --> 00:24:06,390
1063
+ factors ุงู„ู„ูŠ ู‡ูˆ ู…ู…ูƒู† ุนุดุงู† ูŠุตูŠุฑ ููŠ ุนู†ุง
1064
+
1065
+ 267
1066
+ 00:24:06,390 --> 00:24:10,470
1067
+ proliferation ูˆูุนู„ูŠุง ุงู„ growth signal autonomy
1068
+
1069
+ 268
1070
+ 00:24:10,470 --> 00:24:15,650
1071
+ ู…ู…ูƒู† ูŠุตูŠุฑ ุจุฃูƒุชุฑ ู…ู† ุทุฑูŠู‚ุฉ ูˆุงุญุฏุฉ ู…ู† ุงู„ุทุฑู‚ ุฃู† ุงู„
1072
+
1073
+ 269
1074
+ 00:24:15,650 --> 00:24:19,370
1075
+ cancer cells acquire the ability to synthesize and
1076
+
1077
+ 270
1078
+ 00:24:19,370 --> 00:24:23,740
1079
+ secrete their own growth factors ุจู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉุฅู†
1080
+
1081
+ 271
1082
+ 00:24:23,740 --> 00:24:27,660
1083
+ ุงู„ู€ cancer cells ุชู†ุชุฌ ู‡ุงุฏุฆ ู„ู€ Growth Factors ูˆุงู„ู€
1084
+
1085
+ 272
1086
+ 00:24:27,660 --> 00:24:31,940
1087
+ Growth Factors ุชุฑุชุจุท ุจุงู„ู€ Receptors ูˆุชุนุทูŠู†ูŠ Signal
1088
+
1089
+ 273
1090
+ 00:24:31,940 --> 00:24:35,660
1091
+ ู„ู€ Cell Proliferation ุจุฌู‡ุฉ ุฏูŠ ุทุฑูŠู‚ุฉ ุงู„ุทุฑูŠู‚ุฉ
1092
+
1093
+ 274
1094
+ 00:24:35,660 --> 00:24:39,800
1095
+ ุงู„ุชุงู†ูŠุฉ ุฅู†ู‡ ู…ู…ูƒู† ูŠุฒูŠุฏ ุนู†ุง ุนุฏุฏ ุงู„ู€ Receptors
1096
+
1097
+ 275
1098
+ 00:24:39,800 --> 00:24:43,520
1099
+ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุงู„ู€ Cell Membrane ู„ุงุณุชู‚ุจุงู„ ู„ู€ Growth
1100
+
1101
+ 276
1102
+ 00:24:43,520 --> 00:24:47,280
1103
+ Factors ูˆุจุงู„ุชุงู„ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุญุชู‰ ุงู„ู€ Lower
1104
+
1105
+ 277
1106
+ 00:24:47,280 --> 00:24:50,890
1107
+ Concentrations of Growth Factorsู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1108
+
1109
+ 278
1110
+ 00:24:50,890 --> 00:24:57,710
1111
+ ุงุณุชุฌุงุจุฉ ู„ ุงู„ุฎู„ูŠุฉ ูˆ proliferation ูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ุชุฉ
1112
+
1113
+ 279
1114
+ 00:24:57,710 --> 00:25:02,370
1115
+ ุฃู†ู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ mutations
1116
+
1117
+ 280
1118
+ 00:25:02,370 --> 00:25:07,890
1119
+ ููŠ ุงู„ proteins ุงู„ู„ูŠ ุจุชู†ู‚ู„ ุงู„ุฅุดุงุฑุฉ ู…ู† ุงู„ cell
1120
+
1121
+ 281
1122
+ 00:25:07,890 --> 00:25:14,630
1123
+ membrane ุฅู„ู‰ ุฏุงุฎู„ ุงู„ nucleus ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ุงู„ุจุฑูˆุชูŠู†ุงุช
1124
+
1125
+ 282
1126
+ 00:25:14,630 --> 00:25:17,410
1127
+ ู‡ุงุฏ ูŠุตูŠุฑ ู„ activation ููŠ ุญุงู„ ุงุฑุชุจุท ุนู†ุฏู†ุง growth
1128
+
1129
+ 283
1130
+ 00:25:17,410 --> 00:25:21,330
1131
+ factor ู„ุฃ ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง mutations ูˆูŠุตูŠุฑ ููŠ
1132
+
1133
+ 284
1134
+ 00:25:21,330 --> 00:25:24,810
1135
+ ุนู†ุฏู†ุง activation ุณูˆุงุก ู„ู„ receptor ุฃูˆ ู„ ุงู„ proteins
1136
+
1137
+ 285
1138
+ 00:25:24,810 --> 00:25:28,950
1139
+ ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ involved ููŠ ู†ู‚ู„ ุงู„ signal ู„ูˆ ุตุงุฑ ููŠ
1140
+
1141
+ 286
1142
+ 00:25:28,950 --> 00:25:32,290
1143
+ ุนู†ุฏู†ุง mutations ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง always on
1144
+
1145
+ 287
1146
+ 00:25:32,290 --> 00:25:36,570
1147
+ signal ุฃู‡ ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง always on signal ูˆูŠุธู„
1148
+
1149
+ 288
1150
+ 00:25:36,570 --> 00:25:41,030
1151
+ ุงู„ุฅุดุงุฑุฉ ู…ูˆุฌูˆุฏุฉ ูˆูŠุธู„ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ activation ู„
1152
+
1153
+ 289
1154
+ 00:25:41,030 --> 00:25:43,260
1155
+ transcription factors ูˆุจุงู„ุชุงู„ูŠุงู„ู€ Cell
1156
+
1157
+ 290
1158
+ 00:25:43,260 --> 00:25:48,680
1159
+ Proliferation ุญุชู‰ ููŠ ุนุฏู… ูˆุฌูˆุฏ Growth Factor ุจุฌุงู†ุจ
1160
+
1161
+ 291
1162
+ 00:25:48,680 --> 00:25:52,000
1163
+ ุงู„ู€ Hallmark ุงู„ุฃูˆู„ู‰ ูˆุงู„ู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฅู†ู‡ ุชุณู…ู‰
1164
+
1165
+ 292
1166
+ 00:25:52,000 --> 00:25:56,840
1167
+ Growth Signal Autonomy ู‡ูˆ ุนุฏู… ุงุนุชู…ุงุฏ ุงู„ู€ Cancer
1168
+
1169
+ 293
1170
+ 00:25:56,840 --> 00:26:02,560
1171
+ Cells ุนู„ู‰ ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ signals ุงู„ุทุจูŠุนูŠุฉ ุฃูˆ ุงู„
1172
+
1173
+ 294
1174
+ 00:26:02,560 --> 00:26:06,140
1175
+ Growth Factors ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„ ุทุจูŠุนูŠ ู„ู„ุงู†ู‚ุณุงู…
1176
+
1177
+ 295
1178
+ 00:26:08,090 --> 00:26:11,130
1179
+ ุนู†ุฏู†ุง ุงู„ู‡ูˆู„ ู…ุงุฑูƒุช ุชุงู†ูŠุฉ invasion of growth
1180
+
1181
+ 296
1182
+ 00:26:11,130 --> 00:26:17,730
1183
+ inhibitory signals ุทูŠุจ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฒูŠ ู…ุง ููŠ
1184
+
1185
+ 297
1186
+ 00:26:17,730 --> 00:26:25,100
1187
+ ุนู†ุฏู†ุง signals ุนุดุงู† ุงู„ุฎู„ูŠุฉุชุฏุฎู„ ููŠ proliferation ุฃูˆ
1188
+
1189
+ 298
1190
+ 00:26:25,100 --> 00:26:29,600
1191
+ ุชุฏุฎู„ ููŠ cell cycle ููŠ ุฃู† ุฃูŠุถู‹ุง inhibitory signals
1192
+
1193
+ 299
1194
+ 00:26:29,600 --> 00:26:36,560
1195
+ ูˆ ุงู„ inhibitory signals ู‡ุฐู‡ ุจุชู…ู†ุน ุงู„ุฎู„ูŠุฉ ู…ู† ุงู„ุฏุฎูˆู„
1196
+
1197
+ 300
1198
+ 00:26:36,560 --> 00:26:41,500
1199
+ ููŠ cell cycle the normal cells respond to
1200
+
1201
+ 301
1202
+ 00:26:41,500 --> 00:26:46,370
1203
+ inhibitory signals to maintain homeostasisุฃูˆ ุฒูŠ ู…ุง
1204
+
1205
+ 302
1206
+ 00:26:46,370 --> 00:26:48,650
1207
+ ุงุญู†ุง ุนุงุฑููŠู† ุฃู†ู‡ most cells of the body are not
1208
+
1209
+ 303
1210
+ 00:26:48,650 --> 00:26:52,830
1211
+ actively dividing ู„ุฃู†ู‡ ููŠ ุนู†ุฏูŠ inhibitory signals
1212
+
1213
+ 304
1214
+ 00:26:52,830 --> 00:26:57,550
1215
+ ู„ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ูˆุจุชู…ู†ุน ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง ู…ู† ุงู„ุฏุฎูˆู„ ููŠ cell
1216
+
1217
+ 305
1218
+ 00:26:57,550 --> 00:27:02,210
1219
+ cycle ู„ูƒู† ุจุงู„ู†ุณุจุฉ ู„ุงู„ูƒุงู†ุณุฑุŒ cancer cells do not
1220
+
1221
+ 306
1222
+ 00:27:02,210 --> 00:27:07,360
1223
+ respond to growth inhibitory signalsacquired
1224
+
1225
+ 307
1226
+ 00:27:07,360 --> 00:27:13,560
1227
+ mutations interfere with inhibitory pathways ูˆู‡ุฐุง
1228
+
1229
+ 308
1230
+ 00:27:13,560 --> 00:27:19,500
1231
+ ุงู„ููŠุฌุฑุฑ ู…ู…ูƒู† ุจูŠูˆุถุญ ุงู„ููƒุฑุฉ ูˆุทุจุนุง ู‡ุฐุง ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ ุงู†
1232
+
1233
+ 309
1234
+ 00:27:19,500 --> 00:27:26,240
1235
+ ุดุงุก ุงู„ู„ู‡ ู„ู…ุง ู†ูŠุฌูŠ ู†ุญูƒูŠ ุนู„ู‰ ุณูŠู„ ุณุงูŠูƒู„ ุงู„ุงู† ุงู„ E2F
1236
+
1237
+ 310
1238
+ 00:27:26,240 --> 00:27:29,600
1239
+ ู‡ูˆ ุนุจุงุฑุฉ ุนู† transcription factor ูˆู‡ุฐุง ุงู„
1240
+
1241
+ 311
1242
+ 00:27:29,600 --> 00:27:37,110
1243
+ transcription factorุจูŠู„ุฒู… ุทุจุนุง ู„ุฅู†ุชุงุฌ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„
1244
+
1245
+ 312
1246
+ 00:27:37,110 --> 00:27:41,830
1247
+ proteinุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจ proliferation ุทูŠุจ ุงู„
1248
+
1249
+ 313
1250
+ 00:27:41,830 --> 00:27:45,050
1251
+ Analyte of ู‡ุฐุงุฃูŠุด ู…ุฑุชุจุท ู…ุนุงู‡ุŸ ู…ุฑุชุจุท ู…ุนุงู‡ ุงู„ู€
1252
+
1253
+ 314
1254
+ 00:27:45,050 --> 00:27:48,970
1255
+ Retinoplastoma ูˆุงุฑุชุจุงุท ุงู„ู€ Retinoplastoma ู…ุนุงู‡
1256
+
1257
+ 315
1258
+ 00:27:48,970 --> 00:27:53,610
1259
+ ุจูŠู…ู†ุน ุฃู† ุงู„ู€ E2F ู‡ุชุตุจุญ active ูˆุจุงู„ุชุงู„ูŠ ูŠุตูŠุฑ ููŠู†ุง
1260
+
1261
+ 316
1262
+ 00:27:53,610 --> 00:27:56,370
1263
+ ุฅู†ุชุงุฌ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ proliferation
1264
+
1265
+ 317
1266
+ 00:27:56,370 --> 00:28:03,090
1267
+ ุทูŠุจ ู„ู…ุง ุงุจุชุตู„ ู„ ุงู„ุฎู„ูŠุฉ ุฅุฐุง ูƒุงู† ุจุดูƒู„ ุทุจูŠุนูŠ growth
1268
+
1269
+ 318
1270
+ 00:28:03,090 --> 00:28:07,150
1271
+ factor ูˆุจุฑุชุจุท ู…ุน ุงู„ receptor ูˆุฒูŠ ู…ุง ู‚ู„ู†ุง ุงุจุชุตู„
1272
+
1273
+ 319
1274
+ 00:28:07,150 --> 00:28:13,490
1275
+ ุงู„ุฅุดุงุฑุฉ ู„ู„ nucleus ุจูŠุตูŠุฑ ููŠุงู†ุงุงู„ู„ูŠ ู‡ูˆ activation
1276
+
1277
+ 320
1278
+ 00:28:13,490 --> 00:28:20,530
1279
+ ู„ู€ Cycline-dependent kinase ูˆู‡ุฐุง ุจูŠุนู…ู„ ููˆุณููˆุฑูŠู„ูŠุดู†
1280
+
1281
+ 321
1282
+ 00:28:20,530 --> 00:28:24,450
1283
+ ู„ู€ Retinoblastoma ุงู„ุจุฑูˆุชูŠู† ูˆุงู„ููˆุณููˆุฑูŠู„ูŠุดู† ู‡ุฐุง
1284
+
1285
+ 322
1286
+ 00:28:24,450 --> 00:28:28,110
1287
+ ุจูŠุนู…ู„ ุงู„ู€ change ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ structure
1288
+
1289
+ 323
1290
+ 00:28:28,110 --> 00:28:31,830
1291
+ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุตูŠุฑ release ูˆุงู†ูุตุงู„ ู„ู€ Retinoblastoma
1292
+
1293
+ 324
1294
+ 00:28:31,830 --> 00:28:35,190
1295
+ ุนู† ุงู„ู€ E2F ูˆุงู„ู€ E2F ุจูŠุตูŠุฑ active ูˆุจูŠุนู…ู„ ุฅู†ุชุงุฌ
1296
+
1297
+ 325
1298
+ 00:28:35,190 --> 00:28:40,140
1299
+ ู„ู„ุจุฑูˆุชูŠู†ุงุช ุจู‡ุฐุง ุฅุฐุง ูƒุงู† ุตุงุฑ ููŠู†ุงุงู„ู„ูŠ ู‡ูˆ Growth
1300
+
1301
+ 326
1302
+ 00:28:40,140 --> 00:28:45,760
1303
+ Stimulation ูˆุฏุฎู„ุช ุงู„ุฎู„ูŠุฉ ููŠ Cell Cycle ุทูŠุจ ุงู„ุขู† ููŠ
1304
+
1305
+ 327
1306
+ 00:28:45,760 --> 00:28:49,360
1307
+ ุญุงู„ุงุช ุงู„ emergency ุฒูŠ ู…ุง ู‚ู„ู†ุง ููŠ ุนู†ุง ุฅูŠุด CDK
1308
+
1309
+ 328
1310
+ 00:28:49,360 --> 00:28:54,340
1311
+ -Inhibitors ูŠุจู‚ู‰ ููŠ ุนู†ุง CDK-Inhibitors ูˆ ุจุชู…ู†ุน ู…ู†
1312
+
1313
+ 329
1314
+ 00:28:54,340 --> 00:28:57,640
1315
+ ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ ุงู„ CDK ูˆุจุงู„ุชุงู„ูŠ ุจุชู…ู†ุน ู…ู† ุงู„
1316
+
1317
+ 330
1318
+ 00:28:57,640 --> 00:29:00,200
1319
+ phosphorylation ู„ู„ุฑูŠุชุฑูˆุจู„ุงุณุชูˆู…ุฉ ูˆ ุจูŠุถู„
1320
+
1321
+ 331
1322
+ 00:29:00,200 --> 00:29:03,860
1323
+ ุงู„ุฑูŠุชุฑูˆุจู„ุงุณุชูˆู…ุฉ ู…ุฑุชุจุท ุจุงู„ A2F ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„ู„ูŠ
1324
+
1325
+ 332
1326
+ 00:29:03,860 --> 00:29:09,610
1327
+ Cell Cycle ArrestูŠุจู‚ู‰ ู‡ุฏุฃ ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ู„ูˆ ุตุงุฑ ููŠ
1328
+
1329
+ 333
1330
+ 00:29:09,610 --> 00:29:14,490
1331
+ ุฃู† Oncogenic exchanges ู„ ุงู„ CDK Inhibitors ุชู…ุงู…
1332
+
1333
+ 334
1334
+ 00:29:14,490 --> 00:29:18,410
1335
+ ูŠุจู‚ู‰ ุงู„ CDK Inhibitors ู‡ุฐู‡ ู…ุด ู‡ุชู‚ุฏุฑ ุชุนู…ู„
1336
+
1337
+ 335
1338
+ 00:29:18,410 --> 00:29:23,090
1339
+ inhibition ู„ ุงู„ CDK ูˆ ุงู„ CDK ู‡ูŠุธู„ active ูˆ ุดุบุงู„ ูˆ
1340
+
1341
+ 336
1342
+ 00:29:23,090 --> 00:29:25,970
1343
+ ู‡ูŠุธู„ ูŠุนู…ู„ ุงู„ phosphorylation ู„ ุงู„ erythroblastoma
1344
+
1345
+ 337
1346
+ 00:29:25,970 --> 00:29:29,490
1347
+ ูˆ ุงู„ E2F transcription factor ู‡ุชุธู„ active ูˆ ู‡ูŠุธู„
1348
+
1349
+ 338
1350
+ 00:29:29,490 --> 00:29:32,930
1351
+ ูŠู†ุชุฌ ุงู„ proteinุงุช ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจุงู„
1352
+
1353
+ 339
1354
+ 00:29:32,930 --> 00:29:36,840
1355
+ proliferation ูˆ ู‡ูŠุธู„ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆproliferation
1356
+
1357
+ 340
1358
+ 00:29:36,840 --> 00:29:43,320
1359
+ ู„ ุงู„ุฎู„ุงูŠุง ุงู„ู‡ูˆ ุงู„ mark ุงู„ุชุงู„ุชุฉ invasion of cell
1360
+
1361
+ 341
1362
+ 00:29:43,320 --> 00:29:49,300
1363
+ death ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุฃูŠุถุง ุงู„ุทุจูŠุนูŠุฉ ู„ูˆ ุตุงุฑ ููŠู†ุง
1364
+
1365
+ 342
1366
+ 00:29:49,300 --> 00:29:55,320
1367
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ุฎู„ูŠุฉ ู„ูˆ ุตุงุฑ ููŠู†ุง ู…ุดูƒู„ุฉ ู…ู…ูƒู† ููŠ ุงู„ ุงู„
1368
+
1369
+ 343
1370
+ 00:29:55,320 --> 00:30:00,320
1371
+ senses ู„ ุงู„ ุงู„ DNA ูˆู…ุงุตุงุฑุด ููŠู†ุง repair ูŠุจู‚ู‰
1372
+
1373
+ 344
1374
+ 00:30:00,320 --> 00:30:07,650
1375
+ ุงู„ู…ูุฑูˆุถ ุงู† ุงู„ุฎู„ูŠุฉ ุจุชุฏุฎู„ ููŠ apoptosisุจุตูŠุฑ ููŠู†ุง
1376
+
1377
+ 345
1378
+ 00:30:07,650 --> 00:30:14,170
1379
+ induction ู„-apoptosis ูˆุจุตูŠุฑ ููŠู†ุง ู…ูˆุช ู„ ุงู„ุฎู„ูŠุฉ ูŠุจู‚ู‰
1380
+
1381
+ 346
1382
+ 00:30:14,170 --> 00:30:21,430
1383
+ ู‡ุฐุง ุจุดูƒู„ ุทุจูŠุนูŠ ุทูŠุจ ุงู„ุขู† ู…ู…ูƒู† ุงู„ุฎู„ุงูŠุง ูุนู„ูŠุง ุฎู„ุงูŠุง
1384
+
1385
+ 347
1386
+ 00:30:21,430 --> 00:30:26,910
1387
+ ุงู„ cancer ุชุนู…ู„ evasion ู„ุณู„ death ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุตูŠุฑ ุนู†
1388
+
1389
+ 348
1390
+ 00:30:26,910 --> 00:30:32,750
1391
+ ุทุฑูŠู‚ ุงู„ูˆุง evade by evading apoptotic signalsู„ู…ุง
1392
+
1393
+ 349
1394
+ 00:30:32,750 --> 00:30:37,430
1395
+ ู†ุญูƒูŠ ุนู† ุงู„ู€ Apoptosis ุจุงู„ุชูุตูŠู„ ู‡ู†ุดูˆู ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง
1396
+
1397
+ 350
1398
+ 00:30:37,430 --> 00:30:44,490
1399
+ ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ุชุนุชุจุฑ Anti-apoptotic ุจุฑูˆุชูŠู†ุงุช ูˆุฌูˆุฏู‡ุง
1400
+
1401
+ 351
1402
+ 00:30:44,490 --> 00:30:50,390
1403
+ ุจูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ู€ Apoptosis ุฃูˆ ู…ู† ุงู„ induction ู„ู€
1404
+
1405
+ 352
1406
+ 00:30:50,390 --> 00:30:55,310
1407
+ Apoptosis ูˆ ุจุงู„ู…ู‚ุงุจู„ ููŠ ุนู†ุฏู†ุง ุจุฑูˆุชูŠู†ุงุช ุฃุฎุฑู‰ ุงู„ู„ูŠ
1408
+
1409
+ 353
1410
+ 00:30:55,310 --> 00:31:00,960
1411
+ ุชุนุชุจุฑ Pre-apoptoticูŠุจู‚ู‰ ูˆุฌูˆุฏ ู‡ุฐู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช ุชู…ุงู…
1412
+
1413
+ 354
1414
+ 00:31:00,960 --> 00:31:08,400
1415
+ ุจูŠู‡ูŠุฆ ูˆุจูŠุณุงุนุฏ ุนู„ู‰ ุฏุฎูˆู„ ุงู„ุฎู„ูŠุฉ ููŠ apoptosis ูŠุจู‚ู‰
1416
+
1417
+ 355
1418
+ 00:31:08,400 --> 00:31:11,520
1419
+ ุงุญู†ุง ู„ู…ุง ุจู†ุญูƒูŠ ุนู„ู‰ evasion of cell death ูŠุจู‚ู‰ ู…ู…ูƒู†
1420
+
1421
+ 356
1422
+ 00:31:11,520 --> 00:31:17,200
1423
+ ุจู†ุญูƒูŠ ุนู„ู‰ ุฒูŠุงุฏุฉ ููŠ ุฅู†ุชุงุฌ Anti-apoptotic proteins
1424
+
1425
+ 357
1426
+ 00:31:17,200 --> 00:31:20,280
1427
+ ูŠุจู‚ู‰ ุฒูŠ ูƒุงู†ุตุฑ ููŠ ุนู†ุฏู†ุง Anti-apoptotic proteins ุฒูŠ
1428
+
1429
+ 358
1430
+ 00:31:20,280 --> 00:31:25,990
1431
+ ุงู„ู€ BCL2 ูˆ BCLXLุตุงุฑ ููŠู†ุง ุฅู†ุชุงุฌ ุจูƒู…ูŠุงุช ุฃูƒุจุฑ ูŠุจู‚ู‰
1432
+
1433
+ 359
1434
+ 00:31:25,990 --> 00:31:29,690
1435
+ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠู…ู†ุน ู…ู† ุญุฏูˆุซ ุงู„ุงุจูˆุจุชูˆุฒูŠุฒ ุฃูˆ ุฃู†ู‡ ูŠุตูŠุฑ
1436
+
1437
+ 360
1438
+ 00:31:29,690 --> 00:31:35,650
1439
+ ููŠู†ุง under production ู„ ุงู„ pre-apoptotic proteins
1440
+
1441
+ 361
1442
+ 00:31:35,650 --> 00:31:42,550
1443
+ ุฒูŠ ุงู„ bags ูˆ ุงู„ bed ูˆ ุงู„ bad ุงู„
1444
+
1445
+ 362
1446
+ 00:31:42,550 --> 00:31:46,850
1447
+ hallmark ุงู„ุฑุงุจุน unlimited replicative potential
1448
+
1449
+ 363
1450
+ 00:31:51,780 --> 00:31:57,500
1451
+ ุทูŠุจ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุงู„ุฎู„ุงูŠุง ุจุดูƒู„ ุทุจูŠุนูŠ ุฒูŠ ููŠู‡ุง ุนุฏุงุฏ
1452
+
1453
+ 364
1454
+ 00:31:57,500 --> 00:32:03,680
1455
+ ุงู„ู„ูŠ ู‡ูˆ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชู‚ูˆู… ุจู‡ุง ุงู„ุฎู„ูŠุฉ
1456
+
1457
+ 365
1458
+ 00:32:03,680 --> 00:32:08,660
1459
+ ูŠุจู‚ู‰ ููŠู‡ุง autonomous counting device ูˆู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ
1460
+
1461
+ 366
1462
+ 00:32:08,660 --> 00:32:16,200
1463
+ ุจูŠุญุฏุฏ ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ุงู„ู„ูŠ ุญุตู„ู‡ุง ุงู„ุฎู„ูŠุฉูˆุจุนุฏ ุฐู„ูƒ
1464
+
1465
+ 367
1466
+ 00:32:16,200 --> 00:32:22,800
1467
+ ุจูŠุตูŠุฑ ุฃู†ู‡ ุจุชุดูŠุฎ ุงู„ุฎู„ูŠุฉ ุงู„cell become senescent
1468
+
1469
+ 368
1470
+ 00:32:22,800 --> 00:32:28,940
1471
+ ูˆุจุนุฏ ุฐู„ูƒ ุทุจุนุง ุจุชู…ูˆุช this cellular counting device
1472
+
1473
+ 369
1474
+ 00:32:28,940 --> 00:32:31,960
1475
+ is the shortening of the chromosomal ends of
1476
+
1477
+ 370
1478
+ 00:32:31,960 --> 00:32:36,560
1479
+ telomeres ุงู„ุนุฏุงุฏ ู‡ุฐุง ุงู„ autonomous counting device
1480
+
1481
+ 371
1482
+ 00:32:36,560 --> 00:32:41,540
1483
+ ู‡ูˆ ุงู„ุชู„ูˆู…ูŠุฑุฒ ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ู†ู‡ุงูŠุงุช ุงู„ chromosomes
1484
+
1485
+ 372
1486
+ 00:32:43,370 --> 00:32:51,350
1487
+ ุชู…ุงู…ุŸ ูˆุงู„ู„ูŠ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ู„ุงู„ุฎู„ูŠุฉ ุจูŠู‚ุตุฑ ุฃู†ู‡ ุงู„ู€
1488
+
1489
+ 373
1490
+ 00:32:51,350 --> 00:32:58,510
1491
+ telomere cancer cells maintain the length of their
1492
+
1493
+ 374
1494
+ 00:32:58,510 --> 00:33:02,610
1495
+ telomeres ู‡ุฐุง ุงู„ู„ูŠ ุจูŠู…ูŠุฒ ุงู„ cancer cells ูˆู‡ุฐุง ุงู„ู„ูŠ
1496
+
1497
+ 375
1498
+ 00:33:02,610 --> 00:33:07,510
1499
+ ุจูŠุฎู„ูŠ ุฃู† ุนุฏุฏ ุงู„ุงู†ู‚ุณุงู…ุงุช ู„ ุงู„ cancer cells ุบูŠุฑ
1500
+
1501
+ 376
1502
+ 00:33:07,510 --> 00:33:12,380
1503
+ ู…ุญุฏูˆุฏุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ูŠู‚ูˆู„ู†ุง ุงู† ุงู„ telomeres ุจูŠู‚ุตุฑ
1504
+
1505
+ 377
1506
+ 00:33:12,380 --> 00:33:17,420
1507
+ ูƒู„ ุงู†ู‚ุณุงู… ุจูŠู‚ุตุฑ ุนู†ุฏู†ุง ุงู„ุชู„ูˆู…ูŠุฑ ู„ูƒู† ๏ฟฝ๏ฟฝู„ cancer cells
1508
+
1509
+ 378
1510
+ 00:33:17,420 --> 00:33:24,600
1511
+ ู‡ุฐุง .. ู‡ุฐู‡ ุงู„ุดุบู„ุฉ ุจุชุตูŠุฑุด ู„ูŠุดุŸ ู„ุฃู† ู…ูˆุฌูˆุฏ ุนู†ุฏูŠ ุงู†ุฒูŠู…
1512
+
1513
+ 379
1514
+ 00:33:24,600 --> 00:33:32,560
1515
+ telomerase ูˆ ู‡ุฐุง ุงู„ุงู†ุฒูŠู… ุจูŠุนู…ู„ ุฃูˆ ุจูŠุนูˆุฏ ุงู„ู†ู‚ุต ุงู„ู„ูŠ
1516
+
1517
+ 380
1518
+ 00:33:32,560 --> 00:33:39,780
1519
+ ุจูŠุตูŠุฑู‡ูˆ ุจูŠุนู…ู„ lengthening ู„ู€ telomeres ุงู„ู„ูŠ ุจุชุตูŠุฑ
1520
+
1521
+ 381
1522
+ 00:33:39,780 --> 00:33:45,980
1523
+ ุจุนุฏ ูƒู„ ุงู†ู‚ุณุงู… ูˆุจุงู„ุชุงู„ูŠ ุจูŠุณุฑุด ุนู†ุง ุงู„ู‚ุตุฑ ุงู„ู„ูŠ ุจูŠุตูŠุฑ
1524
+
1525
+ 382
1526
+ 00:33:45,980 --> 00:33:52,300
1527
+ ููŠ ุงู„ุฎู„ุงูŠุง ุงู„ุทุจูŠุนูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ุจูŠูƒูˆู† ุนู†ุง ุฏุงูŠู…ุง ููŠู‡
1528
+
1529
+ 383
1530
+ 00:33:52,300 --> 00:33:59,940
1531
+ ู…ู‚ุฏุฑุฉ ู„ู„ุฎู„ุงูŠุง ุนู„ู‰ ุงู„ุงู†ู‚ุณุงู… ู‡ุฐู‡
1532
+
1533
+ 384
1534
+ 00:33:59,940 --> 00:34:03,480
1535
+ ุจุฑุถู‡ ู‡ู†ุญูƒูŠ ุนู„ูŠู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡ ูŠุนู†ูŠ ุจุดูˆูŠุฉ ุชูุตูŠู„ ุงู„ู„ูŠ
1536
+
1537
+ 385
1538
+ 00:34:03,480 --> 00:34:10,530
1539
+ ู‚ุฏุงู…ุนู†ุง ุงู„ู‡ูˆู„ู…ุงุฑูƒ ุงู„ุฎุงู…ุณุฉ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุณูŠุณ
1540
+
1541
+ 386
1542
+ 00:34:10,530 --> 00:34:14,310
1543
+ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุณูŠุณ ุชุนู†ูŠ ุงู„ูˆุตูˆู„ ุฅู„ู‰ ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1544
+
1545
+ 387
1546
+ 00:34:14,310 --> 00:34:15,110
1547
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1548
+
1549
+ 388
1550
+ 00:34:15,110 --> 00:34:17,790
1551
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1552
+
1553
+ 389
1554
+ 00:34:17,790 --> 00:34:20,090
1555
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1556
+
1557
+ 390
1558
+ 00:34:20,090 --> 00:34:20,130
1559
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1560
+
1561
+ 391
1562
+ 00:34:20,130 --> 00:34:20,190
1563
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1564
+
1565
+ 392
1566
+ 00:34:20,190 --> 00:34:22,910
1567
+ ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก ู…ู† ุฌุฒุก
1568
+
1569
+ 393
1570
+ 00:34:22,910 --> 00:34:33,170
1571
+ ู…ู† ุฌุฒุก ู…ู† ุฌุจุฃู† ุงู„ุดุจูƒุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ู…ู† ุงู„ blood vessels
1572
+
1573
+ 394
1574
+ 00:34:33,170 --> 00:34:40,650
1575
+ ุชู‚ุฑูŠุจุง constant ุนู†ุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดุฎุต ุงู„ adult ุงู„ุขู†
1576
+
1577
+ 395
1578
+ 00:34:40,650 --> 00:34:47,750
1579
+ ู„ู…ุง ุจูŠุตูŠุฑ ุนู†ุฏู†ุง ูˆุฑู… ู…ูˆุฌูˆุฏ ูˆ ุงู„ูˆุฑู… ู‡ุฐุง ุจูŠูƒุจุฑ ูˆ ุนุฏุฏ
1580
+
1581
+ 396
1582
+ 00:34:47,750 --> 00:34:54,230
1583
+ ุงู„ุฎู„ุงูŠุง ุจูŠุฒูŠุฏ ุงู„ุขู† ุงู„ cancer ู‡ุฐุง ุจูŠุญุชุงุฌ ุฅู„ู‰ more
1584
+
1585
+ 397
1586
+ 00:34:54,230 --> 00:35:01,730
1587
+ new blood vessels ู„ุฃู†ู‡ุงู„ุฎู„ุงูŠุง ุจุชูƒุชุฑ ุงู„ุฎู„ุงูŠุง ุจุชุจุฏุฃ
1588
+
1589
+ 398
1590
+ 00:35:01,730 --> 00:35:07,110
1591
+ ุชุจุนุฏ ุนู† ุงู„ blood vessels ูˆุจุงู„ุชุงู„ูŠ ุจู†ุญุชุงุฌ ุงู„ cancer
1592
+
1593
+ 399
1594
+ 00:35:07,110 --> 00:35:11,570
1595
+ ุจูŠุญุชุงุฌ ุงู„ new blood vessels ูˆ ุชูƒูˆู‘ู† ุงู„ new blood
1596
+
1597
+ 400
1598
+ 00:35:11,570 --> 00:35:16,290
1599
+ vessels ุนุดุงู† ุชู‚ุฏุฑ ุชุตู„ ุงู„ oxygen ูˆ ุงู„ nutrients ู„ูƒู„
1600
+
1601
+ 401
1602
+ 00:35:16,290 --> 00:35:22,170
1603
+ ุฎู„ุงูŠุง ุงู„ cancer ูˆู‡ุฐู‡ ุงู„ hallmark ุงู„ู„ูŠ ู‡ูŠ ุนู† ุทุฑูŠู‚
1604
+
1605
+ 402
1606
+ 00:35:22,170 --> 00:35:26,990
1607
+ induction of angiotensis ูŠุนู†ูŠ ุนู†ุฏ ุงู„ cancer ุงู„ู‚ุฏุฑุฉ
1608
+
1609
+ 403
1610
+ 00:35:27,500 --> 00:35:31,720
1611
+ ุนู„ู‰ ุทุจุนุงู‹ ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ุฅูุฑุงุฒ ุงู„ุจุฑูˆุชูŠู†ุฒ
1612
+
1613
+ 404
1614
+ 00:35:31,720 --> 00:35:35,400
1615
+ ู…ุฎุชู„ูุฉ ูˆุงู„ุจุฑูˆุชูŠู†ุฒ ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุจุชุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ
1616
+
1617
+ 405
1618
+ 00:35:35,400 --> 00:35:39,800
1619
+ induction ู„ู€angiogenesis ูˆุจุชู‚ุฏุฑ ุชุชูƒูˆู† ุนู†ุฏู†ุง blood
1620
+
1621
+ 406
1622
+ 00:35:39,800 --> 00:35:46,520
1623
+ vessels ุฌุฏูŠุฏุฉ ุนุดุงู† ุชุตู„ ู„ู„ุฎู„ุงูŠุง ุงู„ู…ุฎุชู„ูุฉ ู„ุงู„ู€
1624
+
1625
+ 407
1626
+ 00:35:46,520 --> 00:35:51,320
1627
+ cancer a alternate balance between angiogenic
1628
+
1629
+ 408
1630
+ 00:35:51,320 --> 00:35:56,320
1631
+ inducers and inhibitors can activatethe angiogenic
1632
+
1633
+ 409
1634
+ 00:35:56,320 --> 00:36:00,380
1635
+ switch ูˆู‡ุฐุง ูŠุญุฏุซ ุนู†ุฏู…ุง ู†ุชูƒู„ู… ุจุงู„ุชูุตูŠู„ ุนู†
1636
+
1637
+ 410
1638
+ 00:36:00,380 --> 00:36:06,200
1639
+ ุงู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠ ููŠ ุนู†ุฏูŠ ู…ุซู„ ู…ุซู„ ู…ูŠุฒุงู† ูˆููŠ ุนู†ุฏูŠ
1640
+
1641
+ 411
1642
+ 00:36:06,200 --> 00:36:10,100
1643
+ inducers ู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠ ูˆุนู†ุฏูŠ inhibitors
1644
+
1645
+ 412
1646
+ 00:36:10,100 --> 00:36:15,110
1647
+ ู„ู„ุงู†ุฌูŠูˆุฌูŠู†ูŠุฒูŠุฅุฐุง ูƒุงู† ุงู„ู€ Inducers ุฃูƒุชุฑ ู…ู† ุงู„ู€
1648
+
1649
+ 413
1650
+ 00:36:15,110 --> 00:36:18,210
1651
+ InhibitorsุŒ ูŠุจู‚ู‰ ุจุชุฑุฌุญ ูƒูุฉ ุงู„ู…ูŠุฒุงู† ูˆุจุตูŠุฑ ููŠ ุนู†ุฏูŠ
1652
+
1653
+ 414
1654
+ 00:36:18,210 --> 00:36:21,850
1655
+ Androgensis ู„ูƒู† ุฅุฐุง ูƒุงู† ุงู„ู€ Inhibitors ุฃูƒุชุฑุŒ ูŠุจู‚ู‰
1656
+
1657
+ 415
1658
+ 00:36:21,850 --> 00:36:27,310
1659
+ ุจุชุฑุฌุญ ูƒูุฉ ุงู„ู€ Inhibitors ูˆุจูŠู…ู†ุน ุฃู† ุงู„ู€ Androgensis
1660
+
1661
+ 416
1662
+ 00:36:27,310 --> 00:36:34,110
1663
+ ูˆุจุชุชูƒูˆู†ุด ุนู†ุฏู†ุง blood vessels ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1664
+
1665
+ 417
1666
+ 00:36:34,110 --> 00:36:40,870
1667
+ Mark ุงู„ุณุงุฏุณุฉ Invasion and Metastasisุจู‡ุฐู‡ ุจุฑุถู‡ ุงู„ู„ูŠ
1668
+
1669
+ 418
1670
+ 00:36:40,870 --> 00:36:47,230
1671
+ ู‡ูˆ ู…ู† ุงู„ุฎุตุงุฆุต ู„ู€ Cancer ู‡ูŠ ุงู„ู‚ุฏุฑุฉ ุนู„ู‰ ุนู…ู„ invasion
1672
+
1673
+ 419
1674
+ 00:36:47,230 --> 00:36:54,170
1675
+ ูˆ ุงู„ูˆุตูˆู„ ุฅู„ู‰ blood vessels ุฃูˆ ุฅู„ู‰ ุงู„ lymphatic
1676
+
1677
+ 420
1678
+ 00:36:54,170 --> 00:36:58,610
1679
+ vessels ูˆ ุงู„ุฏุฎูˆู„ ููŠ ุงู„ blood vessels ุนู„ู‰ ุณุจูŠู„
1680
+
1681
+ 421
1682
+ 00:36:58,610 --> 00:37:05,400
1683
+ ุงู„ู…ุซุงู„ ูˆ ุงู„ุงู†ุชู‚ุงู„ ู„ุบุงูŠุฉ ู…ุงุชุตู„ ุงู„ cancer cells ุฅู„ู‰
1684
+
1685
+ 422
1686
+ 00:37:05,400 --> 00:37:09,620
1687
+ ู…ูƒุงู† ุขุฎุฑ ูˆ ูŠุตูŠุฑ ุนู†ุฏูŠ ุฎุฑูˆุฌ ู…ู† ุงู„ blood vessels ูˆ
1688
+
1689
+ 423
1690
+ 00:37:09,620 --> 00:37:19,000
1691
+ ูŠุจุฏุฃ ุนู†ุฏูŠ ุชูƒูˆู† ู„ูˆุฑู… ุฌุฏูŠุฏ ูŠุจู‚ู‰ ุนู†ุฏูŠ ุงู„ุฎู„ุงูŠุง
1692
+
1693
+ 424
1694
+ 00:37:19,000 --> 00:37:22,140
1695
+ ุงู„ุทุจูŠุนูŠุฉ normal cells maintain their location in
1696
+
1697
+ 425
1698
+ 00:37:22,140 --> 00:37:25,500
1699
+ the body and generally do not migrate ู‡ุฐู‡ ุงู„ุฎู„ุงูŠุง
1700
+
1701
+ 426
1702
+ 00:37:25,500 --> 00:37:30,240
1703
+ ุงู„ุทุจูŠุนูŠุฉ ู…ุงุนู†ุฏู‡ุง ู…ุด ู…ุงุนู†ุฏู‡ุงุด ู‚ุฏุฑุฉ ุนู„ู‰ ุงู„ุงู†ุชู‚ุงู„ ู…ู†
1704
+
1705
+ 427
1706
+ 00:37:30,240 --> 00:37:35,420
1707
+ ู…ูƒุงู† ุฅู„ู‰ ุขุฎุฑุงู„ุชุญุฑูƒ ู…ู† ุฎู„ุงูŠุง ุงู„ุฎู„ุงุฆูŠ ุฅู„ู‰ ุฌุฒุก ุฃุฎุฑ ู…ู†
1708
+
1709
+ 428
1710
+ 00:37:35,420 --> 00:37:40,840
1711
+ ุงู„ุฌุณู… ู‡ูˆ ู…ุณุจุจ ูƒุจูŠุฑ ู„ู„ุฎู„ุงุก ูˆุงู„ู„ูŠ ุทุจุนุง ู‡ูŠูƒุณุจ ุงู„ุฎู„ุงูŠุง
1712
+
1713
+ 429
1714
+ 00:37:40,840 --> 00:37:45,420
1715
+ ู‡ุฐู‡ ุงู„ุฎุตุงุฆุต ุงู„ู„ูŠ ู‡ูŠ ุงู„ invasion ู‡ูˆ ุงู„ alterations
1716
+
1717
+ 430
1718
+ 00:37:45,420 --> 00:37:50,760
1719
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ genomemay affect the activity and
1720
+
1721
+ 431
1722
+ 00:37:50,760 --> 00:37:54,540
1723
+ levels of enzymes ูˆุฒูŠ ู…ุง ู‡ู†ุดูˆู ุจุฑุถู‡ ู„ู…ุง ู†ุญูƒูŠ
1724
+
1725
+ 432
1726
+ 00:37:54,540 --> 00:37:58,320
1727
+ ุจุงู„ุชูุตูŠู„ ุนู„ู‰ ุงู„ metastases ุงู„ enzymes ู‡ุฐู‡ ู‡ุชุนู…ู„
1728
+
1729
+ 433
1730
+ 00:37:58,320 --> 00:38:05,040
1731
+ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ invasion ูˆุงู„ุงุฎุชุฑุงู‚ ุงู„ู„ูŠ ุจุฏู‡ ูŠุณูŠุฑ ู„ู„
1732
+
1733
+ 434
1734
+ 00:38:05,040 --> 00:38:11,080
1735
+ tissues ูˆูˆุตูˆู„ ุงู„ cancer cells ู„ blood vessels ูˆุฒูŠ
1736
+
1737
+ 435
1738
+ 00:38:11,080 --> 00:38:15,580
1739
+ ู…ุง ู‚ู„ู†ุง ุชุญุฑูƒู‡ุง ุนุจุฑ ุงู„ blood vessels ูˆูˆุตูˆู„ู‡ุง ุฅู„ู‰
1740
+
1741
+ 436
1742
+ 00:38:15,580 --> 00:38:17,780
1743
+ ุฃู…ุงูƒู† ุฃุฎุฑู‰
1744
+
1745
+ 437
1746
+ 00:38:22,910 --> 00:38:27,650
1747
+ ุทุจุนุง ู‡ู†ุญูƒูŠ ุจุงู„ุชูุตูŠู„ ูŠุนู†ูŠ ู‡ุงู† ุจุงุฎุชุตุงุฑ ู‡ุงู† ุนู†ุฏู†ุง ุงู„
1748
+
1749
+ 438
1750
+ 00:38:27,650 --> 00:38:32,450
1751
+ primary site ู„ ุงู„ tumor ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠุตูŠุฑ ููŠ ุนู†ุฏูŠ
1752
+
1753
+ 439
1754
+ 00:38:32,450 --> 00:38:37,230
1755
+ ุทุจุนุง ุชุบูŠุฑุงุช ูˆ ุงู„ุฎู„ุงูŠุง ู‡ุชูƒุชุณุจ ุฎุตุงุฆุต ุฌุฏูŠุฏุฉ ูˆ ู‡ุตูŠุฑ ููŠ
1756
+
1757
+ 440
1758
+ 00:38:37,230 --> 00:38:41,210
1759
+ ุนู†ุฏู‡ุง ู‚ุฏุฑุฉ ุนู„ู‰ ุฅูุฑุงุฒ ุฃู†ุฒูŠู…ุงุช ูˆ ุงู„ุงู†ุฒูŠู…ุงุช ู‡ุชุนู…ู„
1760
+
1761
+ 441
1762
+ 00:38:41,210 --> 00:38:50,360
1763
+ ุงุฎุชุฑุงู‚ ููŠ ุงู„ basement membrane ูˆ ู‡ุชุตู„ ู„ุทุจุนุง ุงู„
1764
+
1765
+ 442
1766
+ 00:38:50,360 --> 00:38:55,100
1767
+ blood vessels ูˆ
1768
+
1769
+ 443
1770
+ 00:38:55,100 --> 00:38:59,260
1771
+ ุทุจุนุง ู‡ุชู†ุชู‚ู„ ุนุจุฑ ุงู„ blood vessels ูˆ ุจุนุฏูŠู† ู‡ุณูŠุฑ
1772
+
1773
+ 444
1774
+ 00:38:59,260 --> 00:39:05,700
1775
+ ููŠุงู†ุง extravasation ู„ ุงู„ cancer cells ูˆ ู‡ุชุตู„ ู„ู…ูƒุงู†
1776
+
1777
+ 445
1778
+ 00:39:05,700 --> 00:39:10,580
1779
+ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุดูƒู„ ููŠู‡ ูˆุฑู… ุฌุฏูŠุฏ
1780
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/E3iNrzFDEhU.srt ADDED
@@ -0,0 +1,1430 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,250 --> 00:00:05,850
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฃุฑุฌูˆ ุฃู† ุชูƒูˆู†ูˆุง ุฌู…ูŠุนุง ุจุฎูŠุฑ
4
+
5
+ 2
6
+ 00:00:05,850 --> 00:00:10,650
7
+ ูˆุตุญุฉ ูˆุนุงููŠุฉ ูˆู†ุณุชูƒู…ู„ ู…ุน ู…ุญุงุถุฑุงุช ุงู„ู€ molecular
8
+
9
+ 3
10
+ 00:00:10,650 --> 00:00:16,270
11
+ biology of cancer ูˆุณู†ุชุญุฏุซ ุงู„ูŠูˆู… ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู† ุงู„ู€
12
+
13
+ 4
14
+ 00:00:16,270 --> 00:00:23,970
15
+ regulation of gene expression ุทุจุนุง
16
+
17
+ 5
18
+ 00:00:23,970 --> 00:00:29,070
19
+ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุณุงุจู‚ุงุŒ cancer is a disease of the
20
+
21
+ 6
22
+ 00:00:29,070 --> 00:00:29,650
23
+ genome.
24
+
25
+ 7
26
+ 00:00:32,450 --> 00:00:37,110
27
+ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุฌูŠู†ุงุช ุงู„ุชูŠ ู‚ุฏ ุชุธู‡ุฑ ู…ู† ุฎู„ุงู„ ุชุบูŠูŠุฑุงุช ููŠ
28
+
29
+ 8
30
+ 00:00:37,110 --> 00:00:40,630
31
+ ุฅุธู‡ุงุฑ ุงู„ุฌูŠู†ุงุชุŒ ุงู„ุชุบูŠูŠุฑุงุช
32
+
33
+ 9
34
+ 00:00:40,630 --> 00:00:47,170
35
+ ุงู„ุชูŠ ุณุชุญุฏุซ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ DNA ุณุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุฅุธู‡ุงุฑ
36
+
37
+ 10
38
+ 00:00:47,170 --> 00:00:56,410
39
+ ุงู„ุฌูŠู†ุงุชุŒ ูˆู…ู…ูƒู† ุจุนุถ ุงู„ุฌูŠู†ุงุช ุชุฒูŠุฏ ุฅุธู‡ุงุฑู‡ุงุŒ ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง
40
+
41
+ 11
42
+ 00:00:56,410 --> 00:01:01,210
43
+ ุณุงุจู‚ุงุŒ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุนูˆุงู…ู„ ู†ู…ูˆุŒ ูˆู‡ุฐุง ูŠุคุฏูŠ ุฅู„ู‰
44
+
45
+ 12
46
+ 00:01:01,210 --> 00:01:06,870
47
+ ุทุจุนุง ุฒูŠุงุฏุฉ ููŠ ุงู„ู€ proliferation ู„ู„ุฎู„ุงูŠุงุŒ ุฃูˆ ู…ู…ูƒู†
48
+
49
+ 13
50
+ 00:01:06,870 --> 00:01:13,110
51
+ ูŠุตูŠุฑ ููŠู‡ ุฃู†ู‡ ู†ู‚ุต ููŠ ุงู„ู€ expression ู„ุฌูŠู† ู…ุนูŠู†ุŒ ุฒูŠ
52
+
53
+ 14
54
+ 00:01:13,110 --> 00:01:20,910
55
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ tumor suppressionุŒ ูˆู‡ุฐู‡
56
+
57
+ 15
58
+ 00:01:20,910 --> 00:01:25,910
59
+ ุทุจุนุง ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ุง ุฏูˆุฑ ู…ุซู„ุง ููŠ ุงู„ู€ apoptosisุŒ
60
+
61
+ 16
62
+ 00:01:25,910 --> 00:01:31,350
63
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠ ุฃู†ู‡ ุจุงู„ู…ุฌู…ูˆุน
64
+
65
+ 17
66
+ 00:01:31,350 --> 00:01:37,370
67
+ alterations in gene expressionุŒ a gene expression
68
+
69
+ 18
70
+ 00:01:37,370 --> 00:01:40,290
71
+ may be modulated in various ways, particularly
72
+
73
+ 19
74
+ 00:01:40,290 --> 00:01:44,810
75
+ through the regulation of transcriptionุŒ ูŠุจู‚ู‰ ุนู†
76
+
77
+ 20
78
+ 00:01:44,810 --> 00:01:47,990
79
+ ุทุฑูŠู‚ ุงู„ู€ regulation of transcriptionุŒ ุฒูŠ ู…ุง ู‡ู†ุดูˆู
80
+
81
+ 21
82
+ 00:01:47,990 --> 00:01:53,720
83
+ ุงู„ุขู† ุดูˆูŠุฉ ุจุงู„ุชูุตูŠู„ุŒ ู…ู…ูƒู† ุชุตูŠุฑ ููŠู‡ุง ุชุบูŠูŠุฑ ู„ู„ู€ gene
84
+
85
+ 22
86
+ 00:01:53,720 --> 00:01:58,600
87
+ expressionุŒ ุทุจุนุง ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ู‡ุชุฃุซุฑ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
88
+
89
+ 23
90
+ 00:01:58,600 --> 00:02:01,520
91
+ gene expressionุŒ ุฃู†ู‡ุง ุฃูˆู„ ุดุบู„ุฉ ุงู„ู€ mutations ุงู„ู„ูŠ
92
+
93
+ 24
94
+ 00:02:01,520 --> 00:02:07,860
95
+ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ู€ promoter regionุŒ can alter the
96
+
97
+ 25
98
+ 00:02:07,860 --> 00:02:10,320
99
+ regulation of gene expression and lead to
100
+
101
+ 26
102
+ 00:02:10,320 --> 00:02:11,800
103
+ carcinogenesis.
104
+
105
+ 27
106
+ 00:02:13,720 --> 00:02:19,460
107
+ ูˆุนู†ุฏู†ุง ุฃูŠุถุง ุงู„ู€ epigenetics ุจุฑุถู‡ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ู€
108
+
109
+ 28
110
+ 00:02:19,460 --> 00:02:26,400
111
+ carcinogenesisุŒ ูˆุทุจุนุง ุงู„ู€ epigenetics ุฅุญู†ุง ุจู†ุญูƒูŠุด
112
+
113
+ 29
114
+ 00:02:26,400 --> 00:02:31,200
115
+ ุนู„ู‰ ุชุบูŠุฑ ููŠ ุงู„ู€ DNA sequenceุŒ ูŠุนู†ูŠ ู…ุด ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง
116
+
117
+ 30
118
+ 00:02:31,200 --> 00:02:35,920
119
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ DNA sequenceุŒ ูˆู„ูƒู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
120
+
121
+ 31
122
+ 00:02:35,920 --> 00:02:42,360
123
+ silencing ู„ุฌูŠู†ุŒ ูˆุงู„ุฌูŠู† ู‡ุฐุง ู…ู…ูƒู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูŠูƒูˆู†
124
+
125
+ 32
126
+ 00:02:42,360 --> 00:02:47,380
127
+ ุงู„ู€ tumor suppressor geneุŒ ูŠุจู‚ู‰ mutations ุงู„ู„ูŠ ู…ู…ูƒู†
128
+
129
+ 33
130
+ 00:02:47,380 --> 00:02:50,960
131
+ ุชุตูŠุฑ ููŠ ุงู„ู€ promoter regionsุŒ ูˆู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„ู€
132
+
133
+ 34
134
+ 00:02:50,960 --> 00:02:56,660
135
+ expression ู„ู„ุฌูŠู†ุงุชุŒ ูˆุนู†ุฏู†ุง ุฃูŠุถู‹ุง ุงู„ู€ epigenetics ุงู„ู„ูŠ
136
+
137
+ 35
138
+ 00:02:56,660 --> 00:03:03,700
139
+ ุจุฑุถู‡ ู…ู…ูƒู† ุชุนู…ู„ silencingุŒ ุฒูŠ ู…ุง ู‡ู†ุดูˆูุŒ ู„ู€ ุฌูŠู†ุงุช
140
+
141
+ 36
142
+ 00:03:07,760 --> 00:03:12,460
143
+ ูˆู‡ู†ุฑูƒุฒ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ู€ chapter ุนู„ู‰ ุงู„ู€ DNA protein
144
+
145
+ 37
146
+ 00:03:12,460 --> 00:03:17,200
147
+ interactions in the transcriptional regulationุŒ ุฒูŠ
148
+
149
+ 38
150
+ 00:03:17,200 --> 00:03:21,140
151
+ ู…ุง ู‡ู†ุดูˆูุŒ ูˆุงุฑุชุจุงุท ุงู„ู€ transcription factor ู…ุน ุงู„ู€
152
+
153
+ 39
154
+ 00:03:21,140 --> 00:03:25,440
155
+ response element ุนู„ู‰ ุงู„ู€ DNAุŒ ุฃูŠุถู‹ุง ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุฃู†ู‡
156
+
157
+ 40
158
+ 00:03:25,440 --> 00:03:29,660
159
+ ุงู„ู€ chromatin configuration ุจุฑุถู‡ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ู€
160
+
161
+ 41
162
+ 00:03:29,660 --> 00:03:34,060
163
+ gene expressionุŒ ุจุงู„ุฅุถุงูุฉ ู„ู„ู€ telomere extensionุŒ
164
+
165
+ 42
166
+ 00:03:35,880 --> 00:03:40,160
167
+ ุฃูŠุถุง ุงู„ู€ role of small non-coding RNAsุŒ ุงู„ู„ูŠ ู‡ูˆ
168
+
169
+ 43
170
+ 00:03:40,160 --> 00:03:43,600
171
+ ุงู„ู€ micro RNAsุŒ ุจุฑุถู‡ ุฅู„ู‡ุง ุฏูˆุฑ in the regulation of
172
+
173
+ 44
174
+ 00:03:43,600 --> 00:03:49,900
175
+ post transcriptional gene expressionุŒ ูˆู‡ุฐู‡ ุงู„ู†ู‚ุงุท
176
+
177
+ 45
178
+ 00:03:49,900 --> 00:03:55,760
179
+ ุงู„ู„ูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชุทุฑู‚ ู„ู‡ุง ู…ู† ุฎู„ุงู„ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉุŒ
180
+
181
+ 46
182
+ 00:03:55,760 --> 00:04:01,980
183
+ ูˆุทุจุนู‹ุง ูŠุนู†ูŠ ูƒู„ู‡ุง ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ gene expressionุŒ
184
+
185
+ 47
186
+ 00:04:01,980 --> 00:04:07,590
187
+ ูˆููŠ ุงู„ู†ู‡ุงูŠุฉุŒ ูˆุทุจุนุง ุฒูŠ ู…ุง ู‡ู†ุดูˆู ูŠุนู†ูŠ ููŠ ูƒู„ ู…ุญุงุถุฑุฉ
188
+
189
+ 48
190
+ 00:04:07,590 --> 00:04:12,890
191
+ ู‡ู†ุชุทุฑู‚ ู„ู„ู€ therapeutic strategiesุŒ ู„ุฃู† ุฅุญู†ุง ุฒูŠ ู…ุง
192
+
193
+ 49
194
+ 00:04:12,890 --> 00:04:17,410
195
+ ุงุชูู‚ู†ุง ู…ู† ุงู„ุจุฏุงูŠุฉ ุฃู†ู‡ ุจุงู„ุฃูˆู„ ุจู†ูู‡ู… ุฅูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ
196
+
197
+ 50
198
+ 00:04:17,410 --> 00:04:21,030
199
+ ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„ ุทุจูŠุนูŠุŒ ูˆุฅูŠุด ุงู„ุชุบูŠุฑุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ
200
+
201
+ 51
202
+ 00:04:21,030 --> 00:04:23,530
203
+ ุฅู„ู‰ ุงู„ู€ cancerุŒ ูˆุจุนุฏูŠู† ุฅูŠุด ุงู„ู€ therapeutic
204
+
205
+ 52
206
+ 00:04:23,530 --> 00:04:25,910
207
+ strategies ุงู„ู…ูˆุฌูˆุฏุฉ.
208
+
209
+ 53
210
+ 00:04:31,100 --> 00:04:35,200
211
+ ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ transcription factors and
212
+
213
+ 54
214
+ 00:04:35,200 --> 00:04:39,680
215
+ transcriptional regulationุŒ ุงู„ู€ transcription
216
+
217
+ 55
218
+ 00:04:39,680 --> 00:04:43,800
219
+ factors ุนุจุงุฑุฉ ุนู† ุงู„ู€ proteins that bind to gene
220
+
221
+ 56
222
+ 00:04:43,800 --> 00:04:49,460
223
+ promoters and regulate transcriptionุŒ ูˆูŠู…ูƒู† ุญูƒูŠู†ุง ููŠ
224
+
225
+ 57
226
+ 00:04:49,460 --> 00:04:54,340
227
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุช ุนู†ุŒ ูŠุนู†ูŠ ุฐูƒุฑู†ุง transcription factorุŒ
228
+
229
+ 58
230
+ 00:04:54,340 --> 00:04:58,720
231
+ ูˆูŠู‚ูˆู„ู†ุง ุฅู†ู‡ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู† ุจูŠุฌูŠ ุจูŠุฑุชุจุท ู…ุน
232
+
233
+ 59
234
+ 00:04:58,720 --> 00:05:04,800
235
+ specific sequence ุนู„ู‰ ุงู„ู€ DNAุŒ ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ ู„ูŠ
236
+
237
+ 60
238
+ 00:05:04,800 --> 00:05:09,820
239
+ recruitment ู„ู€ other proteinsุŒ ูˆุทุจุนุง ุจุงู„ู†ู‡ุงูŠุฉ ูŠุฌูŠ
240
+
241
+ 61
242
+ 00:05:09,820 --> 00:05:14,740
243
+ RNA polymerase ุนุดุงู† ุชุตูŠุฑ transcription ู„ุฌูŠู† ู…ุนูŠู†.
244
+
245
+ 62
246
+ 00:05:17,350 --> 00:05:21,730
247
+ ุชู‚ุฑูŠุจุง ุซู„ุงุซุฉ ุขู„ุงู transcription factor regulate the
248
+
249
+ 63
250
+ 00:05:21,730 --> 00:05:28,150
251
+ twenty thousand genesุŒ ุงู„ู„ูŠ ุจุชุญูƒู… ุจูŠู‡ ุงู„ุนุดุฑูŠู† ุฃู„ู
252
+
253
+ 64
254
+ 00:05:28,150 --> 00:05:31,550
255
+ ุฌูŠู† ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุงุŒ ุซู„ุงุซุฉ ุขู„ุงู transcription
256
+
257
+ 65
258
+ 00:05:31,550 --> 00:05:38,290
259
+ factor ูู‚ุทุŒ ู‡ุฐุง ุฅูŠุด ุจูŠุนู†ูŠุŸ ูŠุนู†ูŠ ุฅู†ู‡ ุนู†ุฏู†ุง ุงู„ู€
260
+
261
+ 66
262
+ 00:05:38,290 --> 00:05:43,850
263
+ transcription factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุชุญูƒู… ุจุฃูƒุซุฑ ู…ู†
264
+
265
+ 67
266
+ 00:05:43,850 --> 00:05:51,350
267
+ ุฌูŠู†ุŒ transcription factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุชุญูƒู… ููŠ ุงู„ู€
268
+
269
+ 68
270
+ 00:05:51,350 --> 00:05:57,790
271
+ expression ู„ุฃูƒุซุฑ ู…ู† ุฌูŠู†ุŒ ุงู„ู€ transcription factor
272
+
273
+ 69
274
+ 00:05:57,790 --> 00:06:02,990
275
+ ุทุจุนุง ู‚ู„ู†ุง ุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู†ุŒ ูˆุงู„ู€ transcription
276
+
277
+ 70
278
+ 00:06:02,990 --> 00:06:10,630
279
+ factor ุจูŠุญุชูˆูŠ ุนู„ู‰ independent protein modulesุŒ ุฃูˆ
280
+
281
+ 71
282
+ 00:06:10,630 --> 00:06:18,230
283
+ ุชุณู…ู‰ domainsุŒ ูˆุงู„ู€ domain ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฌุฒุก ู…ู† ุงู„ู€
284
+
285
+ 72
286
+ 00:06:18,230 --> 00:06:22,770
287
+ protein that can fold independently of other
288
+
289
+ 73
290
+ 00:06:22,770 --> 00:06:28,730
291
+ domainsุŒ ูŠุจู‚ู‰ ุนู†ุฏู†ุง ุณู„ุณู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ protein ุงู„ู€
292
+
293
+ 74
294
+ 00:06:28,730 --> 00:06:35,370
295
+ sequence ู„ู€ amino acidsุŒ ุงู„ุขู† ุงู„ุฃุฌุฒุงุก
296
+
297
+ 75
298
+ 00:06:35,370 --> 00:06:38,330
299
+ ุงู„ู…ุฎุชู„ูุฉ ู…ู† ุงู„ู€ amino acids ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุจุฑูˆุชูŠู†
300
+
301
+ 76
302
+ 00:06:38,330 --> 00:06:46,130
303
+ ู…ู…ูƒู† ุชุตูŠุฑ ู„ู‡ุง folding ูŠุนู†ูŠ ู…ู†ูุฑุฏุฉุŒ ูˆุชุนุทูŠ ู…ุง ูŠุณู…ู‰
304
+
305
+ 77
306
+ 00:06:46,130 --> 00:06:50,690
307
+ ุจุงู„ู€ domainsุŒ ูŠุจู‚ู‰ ุงู„ู€ domain protein that can fold
308
+
309
+ 78
310
+ 00:06:50,690 --> 00:06:56,760
311
+ independently of other domainsุŒ ูˆุนู†ุฏ ุงู„ู€ transcription
312
+
313
+ 79
314
+ 00:06:56,760 --> 00:07:01,500
315
+ factors ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ููŠู‡ุง ุฃูƒุซุฑ ู…ู† domainุŒ ูˆุงู„ู€
316
+
317
+ 80
318
+ 00:07:01,500 --> 00:07:06,180
319
+ domains ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ู„ู‡ุง ุทุจุนุง functions ุฃูˆ roles
320
+
321
+ 81
322
+ 00:07:06,180 --> 00:07:10,760
323
+ ู…ุฎุชู„ูุฉุŒ ูˆู…ู† ุงู„ู€ domains ุงู„ู„ูŠ ุจุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุจูŠู‡ ุงู„ู€
324
+
325
+ 82
326
+ 00:07:10,760 --> 00:07:15,000
327
+ transcription factor proteinุŒ ุนู†ุฏู†ุง ุงู„ู€ DNA binding
328
+
329
+ 83
330
+ 00:07:15,000 --> 00:07:19,100
331
+ domainุŒ transcriptional activation domainsุŒ
332
+
333
+ 84
334
+ 00:07:19,100 --> 00:07:26,340
335
+ dimerization domainsุŒ ูˆู„ูŠgand binding domainsุŒ ูˆู‡ุฐู‡
336
+
337
+ 85
338
+ 00:07:26,340 --> 00:07:33,140
339
+ ุงู„ุตูˆุฑุฉ ูŠู…ูƒู† ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนุทูŠ ููƒุฑุฉ ุนู† ุงู„ู€ domainsุŒ ุชู…ุงู…ุŸ
340
+
341
+ 86
342
+ 00:07:33,140 --> 00:07:37,240
343
+ ูŠุนู†ูŠ ุฒูŠ ู…ุง ุดุงูŠููŠู†ุŒ ูˆุนุจุงุฑุฉ ุนู† ุจุฑูˆุชูŠู†ุŒ ู„ูƒู† ููŠู‡
344
+
345
+ 87
346
+ 00:07:37,240 --> 00:07:40,740
347
+ ุนู†ุฏูŠ different domainsุŒ ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ู€
348
+
349
+ 88
350
+ 00:07:40,740 --> 00:07:46,960
351
+ protein ูŠุตูŠุฑ ู„ู‡ folding ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุจุดูƒู„ ู…ุณุชู‚ู„ุŒ ู‡ูŠ
352
+
353
+ 89
354
+ 00:07:46,960 --> 00:07:52,880
355
+ ู‡ู†ุง domain ุขุฎุฑุŒ ู‡ูŠ ู‡ู†ุง domain ุซุงู„ุซุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู‡ู†ุง ู‡ูŠ
356
+
357
+ 90
358
+ 00:07:52,880 --> 00:08:01,030
359
+ ููŠู‡ ุฃู†ู‡ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ three domainsุŒ ุทูŠุจุŒ
360
+
361
+ 91
362
+ 00:08:01,030 --> 00:08:04,930
363
+ ุงู„ู„ูŠ ู‚ู„ู†ุง ุฅู†ู‡ ููŠู‡ุŒ ุฃู† ุงู„ู€ DNA binding domains are
364
+
365
+ 92
366
+ 00:08:04,930 --> 00:08:08,890
367
+ characteristic protein conformations that enable
368
+
369
+ 93
370
+ 00:08:08,890 --> 00:08:12,030
371
+ the transcription factor to bind DNAุŒ ุฅุญู†ุง ุจู†ุญูƒูŠ
372
+
373
+ 94
374
+ 00:08:12,030 --> 00:08:15,990
375
+ ุนู„ู‰ ุงู„ู€ transcription factorุŒ ูŠุจู‚ู‰ ู„ุงุฒู… ูŠูƒูˆู† ููŠู‡
376
+
377
+ 95
378
+ 00:08:15,990 --> 00:08:21,160
379
+ ุนู†ุฏู†ุง ุงุฑุชุจุงุท ุจูŠู† ุงู„ู€ transcription factor ู…ุน ุงู„ู€
380
+
381
+ 96
382
+ 00:08:21,160 --> 00:08:24,460
383
+ DNAุŒ ู„ุฃู†ู‡ ู‚ู„ู†ุง ุงุฑุชุจุงุทู‡ ู‡ูŠุนู…ู„ recruitment ู„ู€
384
+
385
+ 97
386
+ 00:08:24,460 --> 00:08:27,680
387
+ other proteinsุŒ ูˆุนุดุงู† ูŠุตูŠุฑ ูŠุฌูŠ ุงู„ู€ RNA polymeraseุŒ ูˆ
388
+
389
+ 98
390
+ 00:08:27,680 --> 00:08:31,560
391
+ ูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง transcription ู„ุฌูŠู† ู…ุนูŠู†ุŒ ูŠุจู‚ู‰ ููŠู‡
392
+
393
+ 99
394
+ 00:08:31,560 --> 00:08:34,460
395
+ ุนู†ุฏู†ุง ุถู…ู† ุงู„ู€ transcription factorุŒ ููŠู‡ ุนู†ุฏู†ุง ุงู„ู€
396
+
397
+ 100
398
+ 00:08:34,460 --> 00:08:39,200
399
+ DNA binding domainุŒ ูˆูŠู† ู‡ูŠุฑุชุจุท ุงู„ู€ transcription
400
+
401
+ 101
402
+ 00:08:39,200 --> 00:08:43,360
403
+ factor ู…ุน ุงู„ู€ DNAุŒ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุจุงู„ู€ figure ู‡ู†ุงุŒ
404
+
405
+ 102
406
+ 00:08:43,360 --> 00:08:50,250
407
+ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ sequence of DNA ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุนู‡ุง
408
+
409
+ 103
410
+ 00:08:50,250 --> 00:08:53,710
411
+ ุงู„ู€ transcription factorุŒ ูˆู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ู€
412
+
413
+ 104
414
+ 00:08:53,710 --> 00:08:57,490
415
+ transcription factorุŒ ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ ู…ุฑุชุจุท ู…ุน ุงู„ู€
416
+
417
+ 105
418
+ 00:08:57,490 --> 00:09:03,790
419
+ DNA ู‡ูˆ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ DNAุŒ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ binding
420
+
421
+ 106
422
+ 00:09:03,790 --> 00:09:10,920
423
+ domainุŒ ุนู†ุฏู†ุง ุฃูŠุถู‹ุง domain ุขุฎุฑุŒ transactivation domainsุŒ
424
+
425
+ 107
426
+ 00:09:10,920 --> 00:09:15,060
427
+ function by binding to other components of the
428
+
429
+ 108
430
+ 00:09:15,060 --> 00:09:18,760
431
+ transcriptional apparatus in order to induce
432
+
433
+ 109
434
+ 00:09:18,760 --> 00:09:22,620
435
+ transcription by RNA polymeraseุŒ ูŠุจู‚ู‰ ุงุฑุชุจุงุท ุงู„ู€
436
+
437
+ 110
438
+ 00:09:22,620 --> 00:09:26,920
439
+ transcription factor ุจูŠุนู…ู„ ู„ูŠ recruitment ู„ู€ other
440
+
441
+ 111
442
+ 00:09:26,920 --> 00:09:32,180
443
+ proteinsุŒ ุชู…ุงู…ุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ุงู„ู€ coactivatorsุŒ ุฃูˆ
444
+
445
+ 112
446
+ 00:09:32,180 --> 00:09:34,640
447
+ transactivation domains.
448
+
449
+ 113
450
+ 00:09:36,500 --> 00:09:40,640
451
+ ูˆุนุดุงู† ุจุงู„ู†ู‡ุงูŠุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ูŠุฌูŠ ุงู„ู€ RNA polymeraseุŒ
452
+
453
+ 114
454
+ 00:09:40,640 --> 00:09:43,120
455
+ ูŠุณู‡ู‘ู„ูˆุง ุงุฑุชุจุงุท ุงู„ู€ RNA polymeraseุŒ ูˆุจุงู„ุชุงู„ูŠ
456
+
457
+ 115
458
+ 00:09:43,120 --> 00:09:50,560
459
+ transcription ู„ู„ุฌูŠู†ุŒ ูˆุจุฑุถู‡ ุงู„ู€ figure ู‡ุฐุง ุจูŠูˆุถุญุŒ
460
+
461
+ 116
462
+ 00:09:50,560 --> 00:09:52,760
463
+ ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ุฃู†ู‡ ู‡ู†ุง DNA binding domain ุงู„ู„ูŠ
464
+
465
+ 117
466
+ 00:09:52,760 --> 00:09:57,340
467
+ ู‡ูŠุฑุชุจุท ู…ุน ุงู„ู€ DNAุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€ transcription
468
+
469
+ 118
470
+ 00:09:57,340 --> 00:10:02,310
471
+ activating domainุŒ ุจู‡ุฐุง ุงู„ู€ domain ุงู„ู„ูŠ ุจูŠุณุงุนุฏ ุนู„ู‰
472
+
473
+ 119
474
+ 00:10:02,310 --> 00:10:07,670
475
+ ุงุฑุชุจุงุท coactivators proteinsุŒ ุจูŠุณุงุนุฏ ุนู„ู‰ ุงุฑุชุจุงุท
476
+
477
+ 120
478
+ 00:10:07,670 --> 00:10:12,490
479
+ coactivators proteinsุŒ ูˆุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุตูŠุฑ
480
+
481
+ 121
482
+ 00:10:12,490 --> 00:10:15,810
483
+ ูƒู„ู‡ ุนุดุงู† ุจุงู„ู†ู‡ุงูŠุฉ ูŠุณู‡ู‘ู„ูˆุง ุงุฑุชุจุงุท ุงู„ู€ RNA polymerase
484
+
485
+ 122
486
+ 00:10:15,810 --> 00:10:22,810
487
+ ู…ุน ุทุจุนุง ู…ุฌู…ูˆุนุฉ ุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ุŒ ูˆูŠุตูŠุฑ ุนู†ุฏู†ุง ุงู„ู€
488
+
489
+ 123
490
+ 00:10:22,810 --> 00:10:29,550
491
+ transcription ู„ู„ุฌูŠู† ุงู„ู…ุนูŠู†ุŒ ุฃูŠุถุง ุจุนุถ ุงู„ู€
492
+
493
+ 124
494
+ 00:10:29,550 --> 00:10:35,650
495
+ transcription factors ุจุชุชูƒูˆู† ู…ู† dimersุŒ ูŠุนู†ูŠ ู„ุงุฒู…
496
+
497
+ 125
498
+ 00:10:35,650 --> 00:10:37,950
499
+ ูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ two transcription factors ูŠูŠุฌูŠ
500
+
501
+ 126
502
+ 00:10:37,950 --> 00:10:44,170
503
+ ูˆูŠุฑุชุจุทูˆุง ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถ ูˆูŠุนุทูˆู†ูŠ dimerุŒ ุนุดุงู† ูŠูƒูˆู† ููŠู‡
504
+
505
+ 127
506
+ 00:10:44,170 --> 00:10:47,330
507
+ ุฃู†ุง active transcription factorุŒ ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠูƒูˆู†
508
+
509
+ 128
510
+ 00:10:47,330 --> 00:10:49,470
511
+ ุจุฑุถู‡ ุงู„ู€ transcription factor ุจูŠุญุชูˆูŠ ุนู„ู‰
512
+
513
+ 129
514
+ 00:10:49,470 --> 00:10:54,290
515
+ dimerization domainุŒ ุชู…ุงู…ุŒ dimerization domain ุงู„ู„ูŠ
516
+
517
+ 130
518
+ 00:10:54,290 --> 00:10:57,390
519
+ ู‡ูˆ ุงู„ุฌุฒุก ุฃูˆ ุงู„ู€ domain ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ููŠู‡ ุงู„ู€
520
+
521
+ 131
522
+ 00:10:57,390 --> 00:11:01,970
523
+ transcription factor ู…ุน transcription factor ุขุฎุฑุŒ
524
+
525
+ 132
526
+ 00:11:01,970 --> 00:11:05,490
527
+ ุชู…ุงู…ุŒ ุฃูˆ ู…ุน protein ุขุฎุฑ ุนุดุงู† ูŠุดูƒู„ูˆู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
528
+
529
+ 133
530
+ 00:11:05,490 --> 00:11:09,590
531
+ transcription factor ุงู„ูƒุงู…ู„ุŒ some transcription
532
+
533
+ 134
534
+ 00:11:09,590 --> 00:11:14,580
535
+ factors work in pairsุŒ ู„ุชูƒูˆูŠู† ู…ุง ู†ุณู…ูŠู‡ ุงู„ู€ dimerุŒ
536
+
537
+ 135
538
+ 00:11:14,580 --> 00:11:17,700
539
+ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุงุŒ ู†ุญุชุงุฌ ู„ูˆุฌูˆุฏ domain
540
+
541
+ 136
542
+ 00:11:17,700 --> 00:11:21,700
543
+ dimerizationุŒ which facilitates protein-protein
544
+
545
+ 137
546
+ 00:11:21,700 --> 00:11:26,500
547
+ interactions between the two moleculesุŒ ูˆู‡ู†ุง ุฅู†
548
+
549
+ 138
550
+ 00:11:26,500 --> 00:11:32,780
551
+ ุงู„ููŠุฌุฑ ู‡ุฐุง ุจูŠูˆุถุญุŒ ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ู‡ุฐุง ูŠุนู†ูŠ
552
+
553
+ 139
554
+ 00:11:32,780 --> 00:11:37,080
555
+ transcription factorุŒ ููŠู‡ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุงู„ู€ DNA
556
+
557
+ 140
558
+ 00:11:37,080 --> 00:11:39,860
559
+ binding domainุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุน ุงู„ู€ DNAุŒ
560
+
561
+ 141
562
+ 00:11:39,860 --> 00:11:44,380
563
+ ูˆุจูŠุญุชูˆูŠ ุฃูŠุถุง ุนู„ู‰ dimerization domainุŒ ุงู„ู„ูŠ ู‡ูˆ
564
+
565
+ 142
566
+ 00:11:44,380 --> 00:11:47,820
567
+ ุงู„ุฌุฒุก ู‡ุฐุงุŒ ู‡ุฐุง ุงู„ู€ domain ุงู„ู„ูŠ ู‡ูˆ ุจูŠุฑุชุจุท ู…ุน
568
+
569
+ 143
570
+ 00:11:47,820 --> 00:11:52,940
571
+ dimerization domain ู„ู„ุจุฑูˆุชูŠู† ุงู„ุขุฎุฑุŒ ุนุดุงู† ูŠูƒูˆู† ู„ูŠ
572
+
573
+ 144
574
+ 00:11:52,940 --> 00:11:56,340
575
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ transcription factor.
576
+
577
+ 145
578
+ 00:11:58,350 --> 00:12:02,270
579
+ ูˆูŠุนู†ูŠ ุงู„ุฌุฒุก ุงู„ุฃุฎูŠุฑุŒ ุฃูˆ ุงู„ู€ domain ุงู„ุฃุฎูŠุฑ ุงู„ู„ูŠ ู…ู…ูƒู†
580
+
581
+ 146
582
+ 00:12:02,270 --> 00:12:08,770
583
+ ูŠูƒูˆู† ู…ูˆุฌูˆุฏุŒ ุงู„ู€ ligand binding domainุŒ ู„ุฃู† ุจุนุถ ุงู„ู€
584
+
585
+ 147
586
+ 00:12:08,770 --> 00:12:13,590
587
+ transcription factors ุจุชุญุชุงุฌ ู„ู€ ligandุŒ ุงุฑุชุจุงุท
588
+
589
+ 148
590
+ 00:12:13,590 --> 00:12:17,490
591
+ ligand ู…ุนูŠู† ู…ุนู‡ุงุŒ ุนุดุงู† ุชุชุญูˆู„ ุฅู„ู‰ active
592
+
593
+ 149
594
+ 00:12:17,490 --> 00:12:22,150
595
+ transcription factorุŒ ุจุนุถ ุงู„ูˆุงู‚ุนุงุช ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ูู‚ุท
596
+
597
+ 150
598
+ 00:12:22,150 --> 00:12:24,190
599
+ ุชุนู…ู„ ุนู„ู‰ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
600
+
601
+ 151
602
+ 00:12:24,190 --> 00:12:25,690
603
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
604
+
605
+ 152
606
+ 00:12:25,690 --> 00:12:30,410
607
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
608
+
609
+ 153
610
+ 00:12:30,410 --> 00:12:33,650
611
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
612
+
613
+ 154
614
+ 00:12:33,650 --> 00:12:33,850
615
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
616
+
617
+ 155
618
+ 00:12:33,850 --> 00:12:34,390
619
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
620
+
621
+ 156
622
+ 00:12:34,390 --> 00:12:36,850
623
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed)
624
+
625
+ 157
626
+ 00:12:36,850 --> 00:12:46,330
627
+ (repeated word "ุนุจุงุฑุฉ ุนู†" removed) ูˆุจุงู„ุชุงู„ูŠุŒ ู…ุด ู‡ู€ .. ุงู„ู€ ..
628
+
629
+ 158
630
+ 00:12:46,330 --> 00:12:49,210
631
+ ุงู„ู€ receptor ู„ู„ู€ Vitamin D ู…ุด ู‡ูŠุชุญูˆู„ ุฅู„ู‰ active
632
+
633
+ 159
634
+ 00:12:49,210 --> 00:12:54,790
635
+ transcription factor ุฅู„ุง ููŠ ุญุงู„ ุงุฑุชุจุท ู…ุน ุงู„ู€
636
+
637
+ 160
638
+ 00:12:54,790 --> 00:12:59,870
639
+ Vitamin DุŒ ูˆุจุงู„ุชุงู„ูŠ ุจู‡ุฐู‡ ุงู„ุญุงู„ุฉุŒ ููŠ ุนู†ุฏู†ุง ู‡ูŠูƒูˆู† ู…ูˆุฌูˆุฏ
640
+
641
+ 161
642
+ 00:12:59,870 --> 00:13:03,510
643
+ ligand binding domain ููŠ ุงู„ู€ receptor ุงู„ุฎุงุต ุจุงู„ู€
644
+
645
+ 162
646
+ 00:13:03,510 --> 00:13:08,830
647
+ Vitamin DุŒ ูˆุงู„ู„ูŠ ุจูŠุนู…ู„ ูƒู€ transcription factorุŒ ูˆู‡ุฐุง
648
+
649
+ 163
650
+ 00:13:08,830 --> 00:13:14,840
651
+ ุงู„ู€ figure ุฃูŠุถุง ุจูŠูˆุถุญู‡ุŒ ู‡ูŠ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ู†ุงุŒ ุงู„ู€ ligand
652
+
653
+ 164
654
+ 00:13:14,840 --> 00:13:18,780
655
+ binding domainุŒ ุชู…ุงู…ุŒ ุงู„ู€ ligand binding domainุŒ ุฒูŠ
656
+
657
+ 165
658
+ 00:13:18,780 --> 00:13:24,700
659
+ ู…ุง ู‚ู„ู†ุงุŒ ู‡ุฐุง ู…ุน ุงุฑุชุจุงุท ุทุจุนุง ุงู„ู€ ligandุŒ ุญูŠุตูŠุฑ ููŠู‡ุง
660
+
661
+ 166
662
+ 00:13:24,700 --> 00:13:29,560
663
+ ุงู„ู€ conformational changeุŒ ูˆุญ ูŠุตูŠุฑ ููŠู‡ release
664
+
665
+ 167
666
+ 00:13:29,560 --> 00:13:33,280
667
+ ู„ู€ ุงู„ู€ inhibitor proteinsุŒ ูˆุญ ูŠุตูŠุฑ ููŠู‡ุง ุฅู†ู‡ ุทุจุนุง
668
+
669
+ 168
670
+ 00:13:33,280 --> 00:13:37,700
671
+ recruitment ู„ู€ ุงู„ู€ coactivators proteinsุŒ ู…ุน ุงุฑุชุจุงุท
672
+
673
+ 169
674
+ 00:13:37,700 --> 00:13:46,560
675
+ ุงู„ู€ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุง ุทุจุนุง ู…ุน ุงู„ู€ DNAุŒ ุชู…ุงู…ุŸ ูˆู‡ุฐุง ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:13:46,560 --> 00:13:48,900
679
+ ู‡ูˆ ุงู„ู†ูˆุน ุงู„ุฃุฎูŠุฑ ู…ู† ุงู„ู€ domains ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู†
680
+
681
+ 171
682
+ 00:13:48,900 --> 00:13:55,780
683
+ ู…ูˆุฌูˆุฏุฉ ู…ุน ุงู„ู€ transcription factorุŒ ุงู„ุขู†
684
+
685
+ 172
686
+ 00:13:55,780 --> 00:13:58,960
687
+ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉุŒ ู‚ู„ู†ุง ุฃู†ู‡ ููŠู†ุง 3000
688
+
689
+ 173
690
+ 00:13:58,960 --> 00:14:03,660
691
+ transcription factorุŒ ูˆู‡ุฐูˆู„ ูุนู„ูŠุง ุจูŠุชุญูƒู…ูˆุง ุจู€ 20000
692
+
693
+ 174
694
+ 00:14:03,660 --> 00:14:08,590
695
+ ุฌูŠู†ุŒ ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุงุŒ ุฅู†ู‡ ู…ุนู†ุงู‡ ููŠู‡ ุฅู† ุงู„ู€ transcription
696
+
697
+ 175
698
+ 00:14:08,590 --> 00:14:14,390
699
+ ุงู„ู€ factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูุนู„ูŠุง ูŠุชุญูƒู… ุจุฃูƒุซุฑ ู…ู† ุฌูŠู†ุŒ
700
+
701
+ 176
702
+ 00:14:14,390 --> 00:14:19,550
703
+ ูˆูุนู„ูŠุง ุฅู† many oncogenic signaling pathways
704
+
705
+ 177
706
+ 00:14:19,550 --> 00:14:25,870
707
+ leading to uncontrolled growthุŒ ูŠุจู‚ู‰ genes ุงู„ู„ูŠ ู„ู‡ุง
708
+
709
+ 178
710
+ 00:14:25,870 --> 00:14:31,870
711
+ ุนู„ุงู‚ุฉ ุจุงู„ู€ growth ูˆุงู„ู€ proliferation ู„ู„ุฎู„ุงูŠุงุŒ ุฅู†ู‡
712
+
713
+ 179
714
+ 00:14:31,870 --> 00:14:36,190
715
+ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ apoptosis ุฃูˆ ุงู„ู€
716
+
717
+ 180
718
+ 00:14:36,190 --> 00:14:40,410
719
+ differentiationุŒ ูƒู„ ู‡ุฐู‡ ู…ู…ูƒู† ูŠุชู… ุงู„ุชุญูƒู… ููŠู‡ุง ู…ู†
720
+
721
+ 181
722
+ 00:14:40,410 --> 00:14:46,550
723
+ ุฎู„ุงู„ ุงู„ู€ transcription factor ูˆุงุญุฏุŒ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู†
724
+
725
+ 182
726
+ 00:14:46,550 --> 00:14:50,170
727
+ ุตุงุฑ ููŠ ุนู†ุฏู†ุง mutationุŒ ุฃูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ู‡ุฐุง
728
+
729
+ 183
730
+ 00:14:50,170 --> 00:14:54,570
731
+ ุงู„ู€ transcription factorุŒ ู…ุนู†ุงู‡ ู‡ุชุชุฃุซุฑ ุนู†ุฏู†ุง ุงู„ุชู„ุงุช
732
+
733
+ 184
734
+ 00:14:54,570 --> 00:14:58,570
735
+ ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ growthุŒ ุงู„ู€ apoptosisุŒ ูˆุงู„ู€
736
+
737
+ 185
738
+ 00:14:58,570 --> 00:15:03,280
739
+ differentiationุŒ ูŠุจู‚ู‰ misregulation of a single
740
+
741
+ 186
742
+ 00:15:03,280 --> 00
743
+
744
+ 223
745
+ 00:18:16,330 --> 00:18:20,970
746
+ ุงู„ู€ "Jan" family ุชู…ุงู…ุŒ ู…ู…ูƒู† ูŠุนู…ู„ูˆู„ูŠุŒ ูŠุดูƒู„ูˆู„ูŠ dimer
747
+
748
+ 224
749
+ 00:18:20,970 --> 00:18:26,690
750
+ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู€ AP1 transcription factor
751
+
752
+ 225
753
+ 00:18:28,750 --> 00:18:34,190
754
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠูƒูˆู† ุทุจุนู‹ุง ุฃู† ุงู„ู€ ... ุงู„ู€ dimer ูŠุนู†ูŠ ู…ู† ู†ูุณ
755
+
756
+ 226
757
+ 00:18:34,190 --> 00:18:39,050
758
+ ุงู„ู€ ... ุงู„ุนุงุฆู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ... ุงู„ุฌู† ุฃูˆ ู…ู† ุงู„ููˆุณ ุฃูˆ ุฒูŠ
759
+
760
+ 227
761
+ 00:18:39,050 --> 00:18:43,190
762
+ ู…ุง ู‚ู„ู†ุง ู…ู† ... ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ dimer ู…ู† ุงู„ู€
763
+
764
+ 228
765
+ 00:18:43,190 --> 00:18:46,550
766
+ protein ู…ู† ุงู„ู€ gen family ูˆ protein ุขุฎุฑ ู…ู† ุงู„ููˆุณ
767
+
768
+ 229
769
+ 00:18:46,550 --> 00:18:50,650
770
+ family ูˆ ุจูŠุฏูŠ ุงู„ุญุงู„ุฉ ู‡ูŠูƒูˆู† hetero dimer ูˆ ู„ูˆ ูƒุงู†
771
+
772
+ 230
773
+ 00:18:50,650 --> 00:18:54,430
774
+ ุทุจุนู‹ุง ู…ู† ู†ูุณ ุงู„ุนุงุฆู„ุฉ ู‡ูŠูƒูˆู† ุฃู†ู‡ homodimer
775
+
776
+ 231
777
+ 00:18:59,620 --> 00:19:03,760
778
+ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู€ transcription factor ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
779
+
780
+ 232
781
+ 00:19:03,760 --> 00:19:09,340
782
+ AP1 plays a role in tumorigenesisุŒ ูˆ ุทุจุนู‹ุง ู‡ุฐุง ุชู…
783
+
784
+ 233
785
+ 00:19:09,340 --> 00:19:15,080
786
+ ุฅุซุจุงุชู‡ ู…ู† ุฎู„ุงู„ ุงู„ู€ research ูˆ ุงู„ุฃุจุญุงุซ ุงู„ู„ูŠ ุชู…ุช ูˆ ู‡ูŠ
787
+
788
+ 234
789
+ 00:19:15,080 --> 00:19:18,660
790
+ the first members of AP1 identifiedุŒ ุงู„ู„ูŠ ู‡ูˆ ุฃูˆู„
791
+
792
+ 235
793
+ 00:19:18,660 --> 00:19:21,780
794
+ ุนุถูˆ ุชู… ุงูƒุชุดุงูู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ heterodimer
795
+
796
+ 236
797
+ 00:19:21,780 --> 00:19:28,120
798
+ C-Jun Maciphos ู„ู‚ูˆุง ุฃู†ู‡ ู‡ุฐุง ุงู„ู€ AP1 can transform
799
+
800
+ 237
801
+ 00:19:28,120 --> 00:19:33,200
802
+ normal cells in culture to cancer cells and are
803
+
804
+ 238
805
+ 00:19:33,200 --> 00:19:37,940
806
+ frequently overexpressed in tumor cells ูŠุจู‚ู‰
807
+
808
+ 239
809
+ 00:19:37,940 --> 00:19:42,300
810
+ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ุจู†ู…ูŠู‡ุง ููŠ ุงู„ู…ุฎุชุจุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ cell
811
+
812
+ 240
813
+ 00:19:42,300 --> 00:19:47,400
814
+ culture ุฌุงุจูˆุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ AP1 member ุงู„ู„ูŠ ู…ุชูƒูˆู† ู…ู†
815
+
816
+ 241
817
+ 00:19:47,400 --> 00:19:54,440
818
+ c-Jun ูˆ c-Fos ูˆู„ุงู‚ูˆุง ุฃู† ูˆุฌูˆุฏ ุงู„ู€ AP1 ุจูŠุญูˆู„ ุงู„ุฎู„ุงูŠุง
819
+
820
+ 242
821
+ 00:19:54,440 --> 00:20:00,350
822
+ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ุฐู‡ ุฅู„ู‰ cancer cellsุŒ ูˆุจุฑุถู‡ ู…ู† ุฎู„ุงู„ ุงู„ุฃุจุญุงุซ
823
+
824
+ 243
825
+ 00:20:00,350 --> 00:20:05,610
826
+ ุงู„ู…ุฎุชู„ูุฉ ู„ูŽู‚ูŽูˆู’ุง ุฃู†ู‡ ููŠ tumor cells ููŠ ุนู†ุฏู†ุง ุจูŠุตูŠุฑ over
827
+
828
+ 244
829
+ 00:20:05,610 --> 00:20:10,610
830
+ expression ู„ู€ ุงู„ู€ AP1 transcription factor ูˆ ุงุญู†ุง ุฒูŠ
831
+
832
+ 245
833
+ 00:20:10,610 --> 00:20:14,150
834
+ ู…ุง ุญูƒูŠู†ุง ุฃู†ู‡ ุงู„ู€ AP1 ุจูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ู€ growth ููŠ ุงู„ู€
835
+
836
+ 246
837
+ 00:20:14,150 --> 00:20:17,950
838
+ apoptosis ูˆ ููŠ ุฃูŠุถู‹ุง ุงู„ู€ differentiation ูˆ ุฒูŠ ู…ุง
839
+
840
+ 247
841
+ 00:20:17,950 --> 00:20:21,230
842
+ ู‚ูˆู„ู†ุง ุฅุฐุง ููŠ cancer ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ AP1 ูŠุจู‚ู‰
843
+
844
+ 248
845
+ 00:20:21,230 --> 00:20:27,490
846
+ ุงู„ู†ุชูŠุฌุฉ ู…ู…ูƒู† ุชูƒูˆู† cancer ู‚ู„ู†ุง ุฅู† ุงู„ู€ response
847
+
848
+ 249
849
+ 00:20:27,490 --> 00:20:32,790
850
+ element ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ูŠู‡ุง ุงู„ู€ AP1 ุงู„ู€ TPA
851
+
852
+ 250
853
+ 00:20:32,790 --> 00:20:37,730
854
+ response element ูˆ ุงู„ู€ TPA ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠ ุนุจุงุฑุฉ
855
+
856
+ 251
857
+ 00:20:37,730 --> 00:20:43,670
858
+ ุฃุตู„ู‹ุง ุนู† chemical ูˆ ุงู„ู€ chemical ู‡ุฐุง ู‡ูˆ ุนุจุงุฑุฉ ุนู†
859
+
860
+ 252
861
+ 00:20:43,670 --> 00:20:48,850
862
+ potent tumor promoter ุชู…ุงู…ุŒ ูˆุฌูˆุฏ ู‡ุฐุง ุงู„ู€ chemical
863
+
864
+ 253
865
+ 00:20:48,850 --> 00:20:55,340
866
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancer ูˆ ุงู„ู€ ... ุงู„ู€ response
867
+
868
+ 254
869
+ 00:20:55,340 --> 00:21:00,280
870
+ element ุฃุฎุฐ ุงู„ุงุณู… ู…ู† ู‡ุฐุง ุงู„ู€ chemical ูˆ ู„ูŽู‚ูŽูˆู’ุง ุฃู† ุงู„ู€
871
+
872
+ 255
873
+ 00:21:00,280 --> 00:21:05,740
874
+ AP1 ุจูŠุฑุชุจุท ุนู„ู‰ ู†ูุณ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ุจูŠุฑุชุจุท ุนู„ูŠู‡ ุงู„ู€ TPA
875
+
876
+ 256
877
+ 00:21:05,740 --> 00:21:13,400
878
+ ุชู…ุงู…ุŒ ุจูŠู‡ุŸ ุงู„ู€ ... ุงู„ู€ AP1 ู‡ูŠูƒ ุจูŠุฃูƒุฏูˆุง ุฃู†ู‡ ู„ู‡ ุนู„ุงู‚ุฉ
879
+
880
+ 257
881
+ 00:21:13,400 --> 00:21:18,960
882
+ ููŠ ุญุฏูˆุซ ุงู„ู€ cancerุŒ ุงู„ู€ TPA is a tumor promoter
883
+
884
+ 258
885
+ 00:21:19,430 --> 00:21:22,510
886
+ ุจุงู„ุชุงู„ูŠุŒ ุฅุฐุง ูƒุงู† ู…ุฌู„ุฏ AP1 ู…ุฑุชุจุท ุจู…ุฌู„ุฏ ุงู„ู€ TPA
887
+
888
+ 259
889
+ 00:21:22,510 --> 00:21:26,530
890
+ Response Element ูŠุจู‚ู‰ ููŠู‡ ุนู„ุงู‚ุฉ ููŠ ุงุชุตุงู„ AP1
891
+
892
+ 260
893
+ 00:21:26,530 --> 00:21:30,870
894
+ ู…ุน ุงู„ุณุฑุทู†ุฉ (carcinogenesis) ูƒุงู†ุช ู…ูู„ุชูŽุจูŽุณูŽุฉ ู‚ุจู„ ูˆู‚ุช ุชุญู‚ูŠู‚ ู‡ุฐู‡
895
+
896
+ 261
897
+ 00:21:30,870 --> 00:21:37,050
898
+ ุงู„ุญู‚ูŠู‚ุฉุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ูˆุงุถุญ ุฃู†ู‡ ุนู†ุฏู†ุง ุงู„ู€ Response
899
+
900
+ 262
901
+ 00:21:37,050 --> 00:21:40,410
902
+ Element ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ TPA ู…ุน ุงุฑุชุจุงุท ุงู„ู€ TPA ุงู„ู„ูŠ ู‡ูˆ
903
+
904
+ 263
905
+ 00:21:40,410 --> 00:21:44,470
906
+ ุนุจุงุฑุฉ ุนู† Potent Tumor Promoter ูˆ ู…ุง ุฒุงู„ ุงู„ู€ AP1
907
+
908
+ 264
909
+ 00:21:44,470 --> 00:21:47,110
910
+ ุจุชูŠุฌูŠ ุจุชุฑุชุจุท ุนู„ู‰ ู‡ุฐุง ุงู„ู€ Response Element ุงู„ู„ูŠ
911
+
912
+ 265
913
+ 00:21:47,110 --> 00:21:51,910
914
+ ุจูŠุฑุชุจุท ุนู„ูŠู‡ ุงู„ู€ TPA ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ู…ุนู†ุงู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
915
+
916
+ 266
917
+ 00:21:51,910 --> 00:21:55,450
918
+ ุงู„ู€ AP1 ูˆ ุจูŠู† ุญุฏูˆุซ ุงู„ู€ Cancer
919
+
920
+ 267
921
+ 00:22:00,600 --> 00:22:05,120
922
+ ุชู…ุงู…ุŒ ุจูŠู‡ุŸ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ AP1 ูˆ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ
923
+
924
+ 268
925
+ 00:22:05,120 --> 00:22:09,760
926
+ ุงู„ู€ AP1 ู…ุชูƒูˆู† ู…ู† ุงู„ู€ c-Jun ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† hetero
927
+
928
+ 269
929
+ 00:22:09,760 --> 00:22:17,000
930
+ dimer ู…ู† c-Jun ูˆ ู…ู† c-FosุŒ ู…ุฑุชุจุท ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุทุจุนู‹ุง ุงู„ู€
931
+
932
+ 270
933
+ 00:22:17,000 --> 00:22:20,840
934
+ response element ุฃูˆ ุงู„ู€ DNA sequence ุงู„ุฎุงุตุฉ ููŠู‡
935
+
936
+ 271
937
+ 00:22:20,840 --> 00:22:27,460
938
+ ุทุจุนู‹ุง ู‡ุฐู‡ ูŠุนู†ูŠ ุตูˆุฑุฉ ู…ุฎุชุตุฑุฉ ู„ุง ุชุดู…ู„ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
939
+
940
+ 272
941
+ 00:22:27,460 --> 00:22:30,120
942
+ recruitment ู„ู€ ุงู„ู€ other proteins ุงู„ู„ูŠ ู…ู…ูƒู† ุชู„ุนุจ
943
+
944
+ 273
945
+ 00:22:30,120 --> 00:22:34,020
946
+ ุฏูˆุฑ ููŠ ุชุณู‡ูŠู„ ุงุฑุชุจุงุท ู„ู€ RNA polymerase ุนุดุงู† ูŠุตูŠุฑ
947
+
948
+ 274
949
+ 00:22:34,020 --> 00:22:38,520
950
+ ู„ู†ุง ุงู„ู€ transcription ู„ู€ Genes ุงู„ู„ูŠ ู‚ู„ู†ุง ุนู„ุงู‚ุฉ ุจุงู„ู€
951
+
952
+ 275
953
+ 00:22:38,520 --> 00:22:42,380
954
+ Growth ููŠ ุงู„ู€ Apoptosis ูˆ ููŠ ุงู„ู€ differentiation
955
+
956
+ 276
957
+ 00:22:42,380 --> 00:22:47,620
958
+ ุฃูŠุถู‹ุง ูŠุนู†ูŠ ู‡ุฐุง ูƒุงู† ู…ุซุงู„ ุนู„ู‰ ุงู„ู€ Transcription
959
+
960
+ 277
961
+ 00:22:47,620 --> 00:22:57,300
962
+ FactorุŒ ุนู†ุฏู†ุง ู…ุซุงู„ ุขุฎุฑ ู„ู€ Steroid Hormone Receptors
963
+
964
+ 278
965
+ 00:22:57,300 --> 00:23:02,060
966
+ ูˆ ุงู„ู€ Steroid Hormones ุนุจุงุฑุฉ ุนู† Lipid Soluble
967
+
968
+ 279
969
+ 00:23:02,060 --> 00:23:07,180
970
+ Signaling MoleculesุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐู‡ ุงู„ู‡ุฑู…ูˆู†ุงุช ู„ุง ุชุญุชุงุฌ
971
+
972
+ 280
973
+ 00:23:07,180 --> 00:23:12,660
974
+ ุฅู„ู‰ receptor ุนู„ู‰ ุณุทุญ ุงู„ุฎู„ูŠุฉุŒ ุชู…ุงู…ุŸ ุงู„ู‡ุฑู…ูˆู†ุงุช ุฒูŠ ุงู„ู€
975
+
976
+ 281
977
+ 00:23:12,660 --> 00:23:16,360
978
+ protein hormones ุชุญุชุงุฌ ุฅู„ู‰ receptor ุนู„ู‰ ุณุทุญ ุงู„ุฎู„ูŠุฉ
979
+
980
+ 282
981
+ 00:23:16,360 --> 00:23:19,680
982
+ ุจูŠุฌูŠ ุงู„ู€ hormone ุจูŠุฑุชุจุท ูˆ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
983
+
984
+ 283
985
+ 00:23:19,680 --> 00:23:24,540
986
+ signaling ู…ู† ุงู„ู€ receptor ุฅู„ู‰ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ู„ูƒู† ุงู„ู€
987
+
988
+ 284
989
+ 00:23:24,540 --> 00:23:29,300
990
+ steroid hormone ุทุจุนู‹ุง ู‚ุงุฏุฑ ุนู„ู‰ ุงู„ู…ุฑูˆุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€
991
+
992
+ 285
993
+ 00:23:29,300 --> 00:23:33,740
994
+ Cell MembraneุŒ ุชู…ุงู…ุŒ ู„ุง ูŠุญุชุงุฌ ุฅู„ู‰ Receptor ูˆ ุงู„ู€
995
+
996
+ 286
997
+ 00:23:33,740 --> 00:23:37,240
998
+ Receptor ุฏู‡ ุนู„ู‰ ุงู„ู€ Steroid Hormones ู…ูˆุฌูˆุฏ ููŠ ุฏุงุฎู„
999
+
1000
+ 287
1001
+ 00:23:37,240 --> 00:23:42,020
1002
+ ุงู„ุฎู„ูŠุฉุŒ The
1003
+
1004
+ 288
1005
+ 00:23:42,020 --> 00:23:46,380
1006
+ superfamily of steroid hormone receptors acts as a
1007
+
1008
+ 289
1009
+ 00:23:46,380 --> 00:23:49,840
1010
+ ligand-dependent transcription factorุŒ ูŠุนู†ูŠ ุจู…ุนู†ู‰
1011
+
1012
+ 290
1013
+ 00:23:49,840 --> 00:23:56,860
1014
+ ู†ุญูƒูŠ ุงุญู†ุง ุนู„ู‰ Receptors ู„ู€ hormonesุŒ ูˆ ู‡ุฐุง ุงู„ู€ ... ุงู„ู€
1015
+
1016
+ 291
1017
+ 00:23:56,860 --> 00:24:00,840
1018
+ receptor ู‡ูˆ ุนุจุงุฑุฉ ุนู† transcription factorุŒ ูŠุจู‚ู‰ ู…ู†
1019
+
1020
+ 292
1021
+ 00:24:00,840 --> 00:24:03,360
1022
+ ุถู…ู† ุงู„ู€ domains ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ transcription factor
1023
+
1024
+ 293
1025
+ 00:24:03,360 --> 00:24:06,520
1026
+ ู‡ุฐุง ู„ุงุฒู… ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง ุฅูŠุดุŸ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1027
+
1028
+ 294
1029
+ 00:24:06,520 --> 00:24:10,620
1030
+ ligand-binding domainุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุญูŠุฑุชุจุท ุนู†ุฏู†ุง ูˆ ุงู„ู„ูŠ
1031
+
1032
+ 295
1033
+ 00:24:10,620 --> 00:24:15,360
1034
+ ุญูŠุฑุชุจุท ุงู„ู€ ... ุงู„ู€ hormoneุŒ ูŠุจู‚ู‰ ุงู„ู€ steroid hormones
1035
+
1036
+ 296
1037
+ 00:24:15,360 --> 00:24:19,760
1038
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ุจุชู…ุฑ ุนุจุฑ ุงู„ู€ cell membrane ูˆ ุจูŠุฑุชุจุทูˆุง
1039
+
1040
+ 297
1041
+ 00:24:19,760 --> 00:24:25,200
1042
+ ุจุงู„ู€ receptor ุงู„ุฎุงุต ููŠู‡ู… ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ upon
1043
+
1044
+ 298
1045
+ 00:24:25,200 --> 00:24:28,700
1046
+ binding, the receptors move into the nucleus and
1047
+
1048
+ 299
1049
+ 00:24:28,700 --> 00:24:32,580
1050
+ activate transcription of their target genes
1051
+
1052
+ 300
1053
+ 00:24:32,950 --> 00:24:37,550
1054
+ through specific DNA response elementsุŒ ุชู…ุงู…ุŒ ูŠุฌุจ
1055
+
1056
+ 301
1057
+ 00:24:37,550 --> 00:24:41,590
1058
+ ููŠู‡ ุฃู† ู…ูƒุงู†ุŒ ูˆูŠู† ุญูŠุฑุชุจุท ู‡ุฐุง ุงู„ู€ receptor ุนู† ุทุฑูŠู‚
1059
+
1060
+ 302
1061
+ 00:24:41,590 --> 00:24:48,480
1062
+ ุทุจุนู‹ุง ุงู„ู€ DNA-binding domainุŒ ุฃู…ุซู„ุฉ ุนู„ู‰ ุงู„ู€ steroid
1063
+
1064
+ 303
1065
+ 00:24:48,480 --> 00:24:50,740
1066
+ hormonesุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€ estrogen receptor ูˆ ููŠ
1067
+
1068
+ 304
1069
+ 00:24:50,740 --> 00:24:55,200
1070
+ ุนู†ุฏู†ุง ุงู„ู€ vitamin D receptorsุŒ ู‡ุฏูˆู„ ุจูŠุดุชุบู„ูˆุง ูƒู€
1071
+
1072
+ 305
1073
+ 00:24:55,200 --> 00:24:58,940
1074
+ transcription factors ูˆ ุจุงู„ุชุงู„ูŠ play an important
1075
+
1076
+ 306
1077
+ 00:24:58,940 --> 00:25:05,100
1078
+ role in many different types of cancerุŒ ูˆ ู‡ุฐุง ุงู„ููŠุฌุฑ
1079
+
1080
+ 307
1081
+ 00:25:05,750 --> 00:25:09,370
1082
+ ุจูŠูˆุถุญ ุฒูŠ ู…ุง ู‡ูˆ ุฃู† ุงู„ู€ steroid hormonesุŒ ุฏุง ุฒูŠ ุงู„ู€
1083
+
1084
+ 308
1085
+ 00:25:09,370 --> 00:25:13,190
1086
+ glucocorticoid ุจูŠู…ุฑ ุนุจุฑ ุงู„ู€ cell membraneุŒ ุชู…ุงู…ุŸ
1087
+
1088
+ 309
1089
+ 00:25:13,190 --> 00:25:15,930
1090
+ ุจุงู„ุชุงู„ูŠ ู„ุง ูŠุญุชุงุฌ ุฅู„ู‰ receptor ุนู„ู‰ ุงู„ู€ cell membrane
1091
+
1092
+ 310
1093
+ 00:25:15,930 --> 00:25:19,110
1094
+ ู„ุฃุŒ ู‡ูˆ ุจูŠู…ุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ cell membraneุŒ ุจูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€
1095
+
1096
+ 311
1097
+ 00:25:19,110 --> 00:25:23,470
1098
+ receptor ุงู„ุฎุงุต ููŠู‡ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉุŒ ูˆ ุจุนุฏูŠู† ุจูŠู†ุชู‚ู„
1099
+
1100
+ 312
1101
+ 00:25:23,470 --> 00:25:27,950
1102
+ ุฅู„ู‰ ุงู„ู€ nucleus ูˆ ุจูŠุฑุชุจุท ุนู„ู‰ุŒ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ู€
1103
+
1104
+ 313
1105
+ 00:25:27,950 --> 00:25:32,030
1106
+ Glucocorticoid Response ElementุŒ ุทุจุนู‹ุง ุนู† ุทุฑูŠู‚ ุงู„ู€
1107
+
1108
+ 314
1109
+ 00:25:32,030 --> 00:25:36,850
1110
+ DNA-Binding Domain ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐุง ุงู„ู€ Receptor
1111
+
1112
+ 315
1113
+ 00:25:36,850 --> 00:25:41,940
1114
+ ูˆ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฃูŠุถู‹ุง ู…ูˆุฌูˆุฏ ุงู„ู€ dimerization
1115
+
1116
+ 316
1117
+ 00:25:41,940 --> 00:25:44,140
1118
+ domainุŒ ู„ุฃู† ุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุฃู†ู‡ ููŠู‡ ู‡ู†ุง two
1119
+
1120
+ 317
1121
+ 00:25:44,140 --> 00:25:48,340
1122
+ receptors ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถุŒ ุทุจุนู‹ุง ู…ุน ุงุฑุชุจุงุท
1123
+
1124
+ 318
1125
+ 00:25:48,340 --> 00:25:53,660
1126
+ ุฃูŠุถู‹ุง ุงู„ู‡ุฑู…ูˆู† ุนุดุงู† ูŠูƒูˆู†ูˆู„ูŠ ุงู„ู€ transcription factor
1127
+
1128
+ 319
1129
+ 00:25:53,660 --> 00:25:58,060
1130
+ ุงู„ู„ูŠ ุญูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€ glucocorticoid response element
1131
+
1132
+ 320
1133
+ 00:25:58,060 --> 00:26:02,100
1134
+ ูˆ ูŠุตูŠุฑ expression ู„ู„ู€ target genes
1135
+
1136
+ 321
1137
+ 00:26:07,700 --> 00:26:15,460
1138
+ ุทูŠุจุŒ how do we know thatุŸ ุงู„ุขู† ูƒูŠู ู…ู…ูƒู† ู†ุนุฑู ุงุญู†ุง
1139
+
1140
+ 322
1141
+ 00:26:15,460 --> 00:26:22,620
1142
+ ุฅุฐุง ูƒุงู† ุงู„ู€ transcription factor ุจูŠุฌูŠ ุจูŠุฑุชุจุท ุนู„ู‰
1143
+
1144
+ 323
1145
+ 00:26:22,620 --> 00:26:29,720
1146
+ promoter ู„ุฌูŠู† ู…ุนูŠู†ุŒ ู‡ุฐุง ู…ู…ูƒู† ูŠุชู… ุจุฃูƒุซุฑ ู…ู† ุทุฑูŠู‚ุฉ
1147
+
1148
+ 324
1149
+ 00:26:29,720 --> 00:26:33,660
1150
+ ุทุจุนู‹ุง ู…ู† ุฎู„ุงู„ ุงู„ู€ experiments ุจุชุชู… ููŠ ุงู„ู…ุฎุชุจุฑ
1151
+
1152
+ 325
1153
+ 00:26:33,660 --> 00:26:38,040
1154
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ุชูƒู†ูŠูƒ ุงู„ุฃูˆู„ ุจุงุณุชุฎุฏุงู… ุงู„ู€ Gel
1155
+
1156
+ 326
1157
+ 00:26:38,040 --> 00:26:42,340
1158
+ Band Shift Assays ูˆุงู„ู„ูŠ ุฃูŠุถู‹ุง ุชุณู…ู‰ Electrophoretic
1159
+
1160
+ 327
1161
+ 00:26:42,340 --> 00:26:47,800
1162
+ Mobility Shift AssayุŒ ูˆ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุจุชุดู…ู„
1163
+
1164
+ 328
1165
+ 00:26:47,800 --> 00:26:51,800
1166
+ ุงู„ู€ incubation of ุงู„ุจุฑูˆุชูŠู†ุŒ ุนุงุฏุฉู‹ ู…ู† ุฏุงุฎู„ ุฎู„ูŠุฉ ุฃูˆ
1167
+
1168
+ 329
1169
+ 00:26:51,800 --> 00:26:56,650
1170
+ ู…ุณุชุฎู„ุต ู†ูˆูˆูŠ (nuclear extract)ุŒ with a labelled DNA fragment
1171
+
1172
+ 330
1173
+ 00:26:56,650 --> 00:27:01,150
1174
+ containing the promoter sequences of interestุŒ ุฅุฐุง
1175
+
1176
+ 331
1177
+ 00:27:01,150 --> 00:27:05,370
1178
+ ุจู†ุฌูŠุจ ุงู„ู€ promoter sequence ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ุฎุงุตุฉ ุจูŠ
1179
+
1180
+ 332
1181
+ 00:27:05,370 --> 00:27:11,270
1182
+ ู…ู…ูƒู† ุฌูŠู† ู…ุนูŠู† ูˆ ุจู†ุฏูŠ
1183
+
1184
+ 333
1185
+ 00:27:11,270 --> 00:27:17,070
1186
+ ุงู„ู€ promoter sequence ุชู…ุงู… ุจุชูƒูˆู† labelled
1187
+
1188
+ 334
1189
+ 00:27:20,420 --> 00:27:23,820
1190
+ ูˆ ุจุนุฏ ู‡ูŠูƒ ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง separationุŒ ุทุจุนู‹ุง ูŠุนู†ูŠ ุฅูŠู‡ุŸ
1191
+
1192
+ 335
1193
+ 00:27:23,820 --> 00:27:29,040
1194
+ ุจูŠุชู… ูˆุถุน ุงู„ู€ protein ุงู„ู„ูŠ ... ุงู„ู„ูŠ ุงุญู†ุง ุจุฏู†ุง ู†ุดูˆู
1195
+
1196
+ 336
1197
+ 00:27:29,040 --> 00:27:32,960
1198
+ ุฅุฐุง ูƒุงู† ูุนู„ูŠู‹ุง ุจูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€ promoter ู‡ุฐุง ูˆู„ุง ู„ุฃุŒ ู…ุน
1199
+
1200
+ 337
1201
+ 00:27:32,960 --> 00:27:40,300
1202
+ ุงู„ู€ promoter ูˆ ุงู„ู€ promoter ู‡ุฐุง labelledุŒ ูˆ ุจุนุฏ ู‡ูŠูƒ ุจู€
1203
+
1204
+ 338
1205
+ 00:27:40,300 --> 00:27:44,800
1206
+ ... ุจู†ู…ุดูŠ ู‡ุฐู‡ ุงู„ู€ products ุนู„ู‰ non-denaturing
1207
+
1208
+ 339
1209
+ 00:27:44,800 --> 00:27:49,020
1210
+ polyacrylamide gelุŒ ูŠุจู‚ู‰ ุจุฏู†ุง ู†ุนู…ู„ ูุตู„ ู„ู‡ุฐู‡ ุงู„ู€
1211
+
1212
+ 340
1213
+ 00:27:49,020 --> 00:27:53,870
1214
+ productsุŒ ุงู„ุขู† ุงู„ู€ DNA ุงู„ู„ูŠ ู‚ู…ุช ุจูˆุถุน ุงู„ุจุฑูˆุชูŠู† ุณูŠูƒูˆู†
1215
+
1216
+ 341
1217
+ 00:27:53,870 --> 00:27:59,770
1218
+ ู…ูู„ุงุญุธู‹ุง ูƒู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ู‚ู…ุช ุจุชุญุฑูŠูƒู‡ุง ุจุณุฑุนุฉุŒ ูŠุนู†ูŠ ุฅุฐุง
1219
+
1220
+ 342
1221
+ 00:27:59,770 --> 00:28:04,610
1222
+ ูƒุงู† ูุนู„ูŠู‹ุง ู‡ุฐุง ุงู„ู€ transcription factor ุจูŠุฑุชุจุท ุนู„ู‰
1223
+
1224
+ 343
1225
+ 00:28:04,610 --> 00:28:08,870
1226
+ ู‡ุฐุง ุงู„ู€ promoterุŒ ุชู…ุงู…ุŒ ูŠุนู†ูŠ ู„ู…ุง ุฎู„ุทู†ุงู‡ู… ู‡ูŠุฌูŠ ูŠุฑุชุจุท
1227
+
1228
+ 344
1229
+ 00:28:08,870 --> 00:28:12,350
1230
+ ุงู„ู€ transcription factor ู…ุน ุงู„ู€ promoterุŒ ุงู„ุขู†
1231
+
1232
+ 345
1233
+ 00:28:12,350 --> 00:28:17,530
1234
+ ู…ุดูŠู†ุงู‡ู… ุฒูŠ ู…ุง ู‚ู„ู†ุง ุนู„ู‰ ุงู„ู€ gelุŒ ุงู„ุขู†ุŒ ู‡ู†ุง ู…ุจูŠู† ุนู„ู‰
1235
+
1236
+ 346
1237
+ 00:28:17,530 --> 00:28:21,910
1238
+ ุงู„ู€ gel ููŠ ุญุงู„ ุฃู†ู‡ ู…ุง ููŠุด ุนู†ุฏู†ุง ุงู„ุจุฑูˆุชูŠู†ุŒ ุชู…ุงู…ุŸ ุงู„ู€
1239
+
1240
+ 347
1241
+ 00:28:21,910 --> 00:28:27,890
1242
+ labelled DNA ู…ุงุดูŠ ุจุดูƒู„ ุณุฑูŠุนุŒ ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA ุงู„ู€
1243
+
1244
+ 348
1245
+ 00:28:27,890 --> 00:28:30,750
1246
+ labelled DNA ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ promoter sequence ุงู„ู„ูŠ ุญูƒูŠู†ุง
1247
+
1248
+ 349
1249
+ 00:28:30,750 --> 00:28:35,530
1250
+ ุนู„ูŠู‡ุงุŒ ู„ูƒู† ู„ู…ุง ุฅุฌูŠู†ุง ุญุทูŠู†ุง ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€
1251
+
1252
+ 350
1253
+ 00:28:35,530 --> 00:28:39,410
1254
+ transcription factorุŒ ุชู…ุงู…ุŸ ู„ู…ุง ุงู„ู€ transcription
1255
+
1256
+ 351
1257
+ 00:28:39,410 --> 00:28:44,250
1258
+ factor ุจูŠุฑุชุจุท ู…ุน ุงู„ู€ DNA sequence ู‡ุฐู‡ุŒ ุฅูŠุด ุญูŠุนู…ู„ุŸ
1259
+
1260
+ 352
1261
+ 00:28:44,250 --> 00:28:50,150
1262
+ ุญูŠุจุทุฆ ุงู„ู€ ... ุงู„ู„ูŠ ู‡ูˆ ุทุจุนู‹ุง ุงู„ู€ migration ู„ู€ ุงู„ู€ DNA
1263
+
1264
+ 353
1265
+ 00:28:51,040 --> 00:28:58,720
1266
+ ุชู…ุงู…ุŸ ุญูŠุนู…ู„ ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุจุทุก ููŠ ุงู„ู€ migration ูˆ ู…ุฑูˆุฑ
1267
+
1268
+ 354
1269
+ 00:28:58,720 --> 00:29:01,940
1270
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ DNA ุทุจุนู‹ุง ุงู„ู…ุฑุชุจุท ููŠู‡ ุจุงู„ุจุฑูˆุชูŠู† ู…ู†
1271
+
1272
+ 355
1273
+ 00:29:01,940 --> 00:29:06,780
1274
+ ุฎู„ุงู„ ุงู„ู€ gelุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุงู„ู€ DNA that has bound ุงู„ู€
1275
+
1276
+ 356
1277
+ 00:29:06,780 --> 00:29:08,700
1278
+ protein will be observed as a band that has
1279
+
1280
+ 357
1281
+ 00:29:08,700 --> 00:29:14,120
1282
+ migrated more slowlyุŒ ูŠุจู‚ู‰ ุฃุตู„ู‡ุง retardationุŒ ุชู…ุงู…ุŸ
1283
+
1284
+ 358
1285
+ 00:29:14,120 --> 00:29:19,380
1286
+ ุทุจุนู‹ุง ุจุนูƒุณ ุงู„ู€ DNA ุงู„ู„ูŠ ู…ุด ู…ุฑุชุจุท ู…ุน ุงู„ู€ proteinุŒ ูŠุจู‚ู‰
1287
+
1288
+ 359
1289
+ 00:29:19,380 --> 00:29:22,300
1290
+ ุฅุฐุง ูƒุงู† ุงู„ู€ transcription factor ุจูŠุฑุชุจุท ู…ุน ุงู„ู€
1291
+
1292
+ 360
1293
+ 00:29:22,300 --> 00:29:27,780
1294
+ protein ูŠุจู‚ู‰ ุญู†ู„ุงู‚ูŠ ุฃู†ู‡ ุฅูŠุด ุตุงุฑ ููŠู‡ุŒ ุฅู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง
1295
+
1296
+ 361
1297
+ 00:29:27,780 --> 00:29:33,560
1298
+ retardation ู„ู€ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ DNA ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู‡ู†ุง ุทุจุนู‹ุง
1299
+
1300
+ 362
1301
+ 00:29:33,560 --> 00:29:37,720
1302
+ ู‡ู†ุง ุญุงุทูŠู†ู‡ ุจู€ concentrations ู…ุฎุชู„ูุฉ ู„ู€ ุงู„ู€
1303
+
1304
+ 363
1305
+ 00:29:37,720 --> 00:29:41,340
1306
+ transcription factorุŒ ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุฃู†ู‡ ูƒู„ ู…ุง ุฒุงุฏุช
1307
+
1308
+ 364
1309
+ 00:29:41,340 --> 00:29:46,040
1310
+ ุงู„ู€ concentration ูƒู„ ู…ุง ูƒู…ูŠุฉ ุงู„ู€ DNA ุงู„ู„ูŠ ุตุงุฑ ู„ู‡ุง
1311
+
1312
+ 365
1313
+ 00:29:46,040 --> 00:29:50,810
1314
+ retardation ุตุงุฑุช ุฃูƒุซุฑุŒ ุชู…ุงู…ุŒ ุจุฌู‡ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ู…ูƒู† ู…ู†
1315
+
1316
+ 366
1317
+ 00:29:50,810 --> 00:29:55,570
1318
+ ุฎู„ุงู„ู‡ุง ูŠุซุจุช ุฃู†ู‡ ุงู„ู€ transcription factor ุจูŠุฑุชุจุท
1319
+
1320
+ 367
1321
+ 00:29:55,570 --> 00:30:00,090
1322
+ ุนู„ู‰ promoter ู…ุนูŠู†ุŒ ููŠ ุฃูŠุถู‹ุง ุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ุจูŠุชู…
1323
+
1324
+ 368
1325
+ 00:30:00,090 --> 00:30:05,530
1326
+ ุงุณุชุฎุฏุงู…ู‡ุง ุงู„ู„ูŠ ูŠุณู…ู‰ DNA footprintingุŒ ูˆ ู…ู† ุฎู„ุงู„
1327
+
1328
+ 369
1329
+ 00:30:05,530 --> 00:30:08,070
1330
+ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ู€ DNasesุŒ ู„ุฃู† ูƒู†ุชู… ุนุงุฑููŠู† ุงู„ู€
1331
+
1332
+ 370
1333
+ 00:30:08,070 --> 00:30:13,730
1334
+ DNases ุจูŠุนู…ู„ digestion ู„ู„ู€ DNAุŒ ุจูŠุนู…ู„ cleavage ู„ู„ู€ DNA
1335
+
1336
+ 371
1337
+ 00:30:15,090 --> 00:30:20,550
1338
+ ูˆ ู…ู…ูƒู† ูุนู„ูŠู‹ุง ู†ุญุตู„ ุนู„ู‰ ุงู„ู€ ... ุงู„ู€ ... ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1339
+
1340
+ 372
1341
+ 00:30:20,550 --> 00:30:24,850
1342
+ ladderุŒ ุทุจุนู‹ุง ู…ู† ุฎู„ุงู„ ุทุจุนู‹ุง ู„ุฃู†ู‡ ุจูŠุตูŠุฑ ู„ุฏูŠู†ุง ุชูƒุณูŠุฑ ู„ู€
1343
+
1344
+ 373
1345
+ 00:30:24,850 --> 00:30:28,090
1346
+ ุงู„ู€ DNA ู„ู€ different fragmentsุŒ ูˆ ุจุงู„ุชุงู„ูŠ ู„ู…ุง ู†ูŠุฌูŠ
1347
+
1348
+ 374
1349
+ 00:30:28,090 --> 00:30:33,730
1350
+ ู†ูุตู„ ู‡ู†ู„ุงู‚ูŠ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ladder ุฃูˆ ุณู„ู… ู„ู„ู€ DNA
1351
+
1352
+ 375
1353
+ 00:30:33,730 --> 00:30:39,770
1354
+ ู„ุฃู†ู‡ ุตุงุฑ ู„ู‡ ุชูƒุณูŠุฑ ูŠุนู†ูŠ ู„ู€ fragments ู…ุฎุชู„ูุฉุŒ ูŠุจู‚ู‰
1355
+
1356
+ 376
1357
+ 00:30:39,770 --> 00:30:45,440
1358
+ ุจู†ุณุชุฎุฏู… DNases ุฏู‡ ู„ุชูƒุณูŠุฑ ุงู„ู€ DNAุŒ use to probe a
1359
+
1360
+ 377
1361
+ 00:30:45,440 --> 00:30:50,120
1362
+ promoter regionุŒ protein bound to a DNA fragment
1363
+
1364
+ 378
1365
+ 00:30:50,120 --> 00:30:53,360
1366
+ will protect the DNA from DNA cleavageุŒ ุจุฌุงู†ู‡
1367
+
1368
+ 379
1369
+ 00:30:53,360 --> 00:30:55,800
1370
+ ุงู„ููƒุฑุฉ ุจุฑุถู‡ ุจู†ุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ transcription factor
1371
+
1372
+ 380
1373
+ 00:30:55,800 --> 00:31:00,860
1374
+ ุชู…ุงู…ุŒ ุงู„ู„ูŠ ุจุฏู‡ ูŠุฑุชุจุท ูˆ ุญู†ุดูˆู ุฃู†ู‡ ุญูŠุฑุชุจุท ูˆู„ุง ู…ุด
1375
+
1376
+ 381
1377
+ 00:31:00,860 --> 00:31:04,940
1378
+ ุญูŠุฑุชุจุทุŒ ุงู„ุขู† ุฅุฐุง ูƒุงู† ูุนู„ูŠู‹ุง ู‡ุฐุง ุงู„ู€ transcription
1379
+
1380
+ 382
1381
+ 00:31:04,940 --> 00:31:10,080
1382
+ factor ุจูŠุฑุชุจุท ู…ุน ู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ู€ DNAุŒ ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ู…ุด
1383
+
1384
+ 383
1385
+ 00:31:10,080 --> 00:31:14,940
1386
+ ุญูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ digestion ู„ู€ ุงู„ู€ DNA ู„ุฃู† ูˆุฌูˆุฏ ุงู„ู€
1387
+
1388
+ 384
1389
+ 00:31:14,940 --> 00:31:21,240
1390
+ protein ุญูŠูŽุญู…ูŠ ุงู„ู€ DNAุŒ ู…ุด ุญูŠุณู…ุญ ู„ู€ ุงู„ู€ ... ุงู„ู€ DNases ุจุงู„ุงุฑุชุจุงุท
1391
+
1392
+ 385
1393
+ 00:31:21,240 --> 00:31:26,800
1394
+ ู…ุน ุงู„ู€ DNA ูˆ ุจุงู„ุชุงู„ูŠ ู…ุด ู‡ูŠุชู… ุชู‚ุทูŠุนู‡ุŒ ุจุนุฏ ุฐู„ูƒ ุงู„ู€ DNA
1395
+
1396
+ 386
1397
+ 00:31:26,800 --> 00:31:34,360
1398
+ ูŠูŽุชูู… ูุตู„ู‡ุง (separated) ุนู† ุงู„ู€ DNA ูˆ ุจุนุฏ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุฅู†ุฒูŠู…ุงุชุŒ ูŠุชู…
1399
+
1400
+ 387
1401
+ 00:31:34,360 --> 00:31:36,540
1402
+ ุงู„ุชุนุงู…ู„ ู…ุนู‡ุง ุจุงุณุชุฎุฏุงู… ุงู„ุฌู„ ุงู„ูƒู‡ุฑุจุงุฆูŠ (electrophoresis)
1403
+
1404
+ 388
1405
+ 00:31:36,540 --> 00:31:41,700
1406
+ ูˆ ุงู„ุชุตูˆูŠุฑ ุงู„ุฅุดุนุงุนูŠ ุงู„ุฐุงุชูŠ (autoradiography)ุŒ ุงู„ู…ู†ุงุทู‚ ุงู„ุชูŠ ุชู… ุญู…ุงูŠุชู‡ุง ู…ู†
1407
+
1408
+ 389
1409
+ 00:31:41,700 --> 00:31:47,260
1410
+ ุนู…ู„ ุงู„ุฅู†ุฒูŠู…ุงุช ุณุชู†ุชุฌ ููŠ ู…ู†ุทู‚ุฉ ูˆุงุถุญุฉุŒ ุจู…ุนู†ู‰ ู…ุทุนู…
1411
+
1412
+ 390
1413
+ 00:31:47,260 --> 00:31:50,700
1414
+ ุงู„ุทุนุงู…ุŒ ุชู…ุงู…ุŒ
1415
+
1416
+ 391
1417
+ 00:31:50,700 --> 00:31:54,920
1418
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู…ุด ุญูŠูƒูˆู† ููŠู‡ุง ุชู‚ุทูŠุน
1419
+
1420
+ 392
1421
+ 00:31:56,140 --> 00:31:59,760
1422
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู…ุด ุญูŠูƒูˆู† ููŠู‡ุง ุชู‚ุทูŠุนุŒ ู…ู…ูƒู† ุชูƒูˆู† ู‡ุฐู‡
1423
+
1424
+ 393
1425
+ 00:31:59,760 --> 00:32:06,080
1426
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ูƒุงู† ู…ุฑุชุจุท ุนู„ูŠู‡ุง ุงู„ู€ Transcription
1427
+
1428
+ 394
1429
+ 00:32:06,080 --> 00:32:07,700
1430
+ Factor
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/E3iNrzFDEhU_postprocess.srt ADDED
@@ -0,0 +1,1576 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:01,250 --> 00:00:05,850
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุฃุฑุฌูˆ ุฃู† ุชูƒูˆู†ูˆุง ุฌู…ูŠุนุง ุจุฎูŠุฑ
4
+
5
+ 2
6
+ 00:00:05,850 --> 00:00:10,650
7
+ ูˆุตุญุฉ ูˆุนุงููŠุฉ ูˆู†ุณุชูƒู…ู„ ู…ุน ู…ุญุงุถุฑุงุช ุงู„ molecular
8
+
9
+ 3
10
+ 00:00:10,650 --> 00:00:16,270
11
+ biology of cancer ูˆุณู†ุชุญุฏุซ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ุนู† ุงู„
12
+
13
+ 4
14
+ 00:00:16,270 --> 00:00:23,970
15
+ regulation of gene expression ุทุจุนุง
16
+
17
+ 5
18
+ 00:00:23,970 --> 00:00:29,070
19
+ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุณุงุจู‚ุง cancer is a disease of the
20
+
21
+ 6
22
+ 00:00:29,070 --> 00:00:29,650
23
+ genome
24
+
25
+ 7
26
+ 00:00:32,450 --> 00:00:37,110
27
+ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ุฌู†ุฉ ุงู„ุชูŠ ู‚ุฏ ุชุธู‡ุฑ ู…ู† ุฎู„ุงู„ ุชุบูŠูŠุฑุงุช ููŠ
28
+
29
+ 8
30
+ 00:00:37,110 --> 00:00:40,630
31
+ ุฅุธู‡ุงุฑ ุงู„ุฌู†ุฉ ุงู„ุชุบูŠูŠุฑุงุช
32
+
33
+ 9
34
+ 00:00:40,630 --> 00:00:47,170
35
+ ุงู„ุชูŠ ุณุชุญุฏุซ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู€ DNA ุณุชุนู…ู„ ุชุบูŠูŠุฑ ููŠ ุฅุธู‡ุงุฑ
36
+
37
+ 10
38
+ 00:00:47,170 --> 00:00:56,410
39
+ ุงู„ุฌู†ุฉ ูˆู…ู…ูƒู† ุจุนุถ ุงู„ุฌูŠู†ุงุช ุชุฒูŠุฏ ุฅุธู‡ุงุฑู‡ุง ูˆุฒูŠ ู…ุง ุญูƒูŠู†ุง
40
+
41
+ 11
42
+ 00:00:56,410 --> 00:01:01,210
43
+ ุณุงุจู‚ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุนุงู…ู„ุงุช ุชู†ู…ูŠุฉูˆู‡ุฐุง ูŠุคุฏูŠ ุฅู„ู‰
44
+
45
+ 12
46
+ 00:01:01,210 --> 00:01:06,870
47
+ ุทุจุนุง ุฒูŠุงุฏุฉ ููŠ ุงู„ู€ proliferation ู„ ุงู„ุฎู„ุงูŠุง ุฃูˆ ู…ู…ูƒู†
48
+
49
+ 13
50
+ 00:01:06,870 --> 00:01:13,110
51
+ ูŠุตูŠุฑ ููŠู‡ุง ุงู†ู‡ ู†ู‚ุต ููŠ ุงู„ expression ู„ุฌูŠู† ู…ุนูŠู† ุฒูŠ
52
+
53
+ 14
54
+ 00:01:13,110 --> 00:01:20,910
55
+ ุงู„ุฌูŠู†ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ tumor suppression ูˆู‡ุฐู‡
56
+
57
+ 15
58
+ 00:01:20,910 --> 00:01:25,910
59
+ ุทุจุนุง ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ู„ู‡ุง ุฏูˆุฑ ู…ุซู„ุง ููŠ ุงู„apoptosis
60
+
61
+ 16
62
+ 00:01:25,910 --> 00:01:31,350
63
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู†ุซุงู„ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ููŠ ุฃู†ู‡ ุจุงู„ู…ุฌู…ูˆุน
64
+
65
+ 17
66
+ 00:01:31,350 --> 00:01:37,370
67
+ alterations in gene expression a gene expression
68
+
69
+ 18
70
+ 00:01:37,370 --> 00:01:40,290
71
+ may be modulated in various ways particularly
72
+
73
+ 19
74
+ 00:01:40,290 --> 00:01:44,810
75
+ through the regulation of transcription ูŠุจู‚ู‰ ุนู†
76
+
77
+ 20
78
+ 00:01:44,810 --> 00:01:47,990
79
+ ุทุฑูŠู‚ ุงู„ regulation of transcription ุฒูŠ ู…ุง ู‡ู†ุดูˆู
80
+
81
+ 21
82
+ 00:01:47,990 --> 00:01:53,720
83
+ ุงู„ุขู† ุดูˆูŠุฉ ุจุงู„ุชูุตูŠู„ู…ู…ูƒู† ุชุตูŠุฑ ููŠู‡ุง ุชุบูŠูŠุฑ ู„ู„ู€ gene
84
+
85
+ 22
86
+ 00:01:53,720 --> 00:01:58,600
87
+ expression ุทุจุนุง ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ู‡ุชุฃุซุฑ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
88
+
89
+ 23
90
+ 00:01:58,600 --> 00:02:01,520
91
+ gene expression ุฃู†ู‡ุง ุฃูˆู„ ุดุบู„ุฉ ุงู„ู€ mutations ุงู„ู„ูŠ
92
+
93
+ 24
94
+ 00:02:01,520 --> 00:02:07,860
95
+ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุงู„ promoter region can alter the
96
+
97
+ 25
98
+ 00:02:07,860 --> 00:02:10,320
99
+ regulation of gene expression and lead to
100
+
101
+ 26
102
+ 00:02:10,320 --> 00:02:11,800
103
+ carcinogenesis
104
+
105
+ 27
106
+ 00:02:13,720 --> 00:02:19,460
107
+ ูˆุนู†ุง ุฃูŠุถุง ุงู„ epigenetics ุจุฑุถู‡ ุจุชู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„
108
+
109
+ 28
110
+ 00:02:19,460 --> 00:02:26,400
111
+ carcinogenesis ูˆ ุทุจุนุง ุงู„ epigenetics ุงุญู†ุง ุจู†ุญูƒูŠุด
112
+
113
+ 29
114
+ 00:02:26,400 --> 00:02:31,200
115
+ ุนู„ู‰ ุชุบูŠุฑ ููŠ ุงู„ DNA sequence ูŠุนู†ูŠ ู…ุด ู‡ูŠูƒูˆู† ููŠ ุนู†ุง
116
+
117
+ 30
118
+ 00:02:31,200 --> 00:02:35,920
119
+ ู…ุดูƒู„ุฉ ููŠ ุงู„ DNA sequence ูˆู„ูƒู† ู…ู…ูƒู† ูŠุตูŠุฑ ููŠ ุนู†ุง
120
+
121
+ 31
122
+ 00:02:35,920 --> 00:02:42,360
123
+ silencing ู„ุฌูŠู†ูˆุงู„ุฌูŠู† ู‡ุฐุง ู…ู…ูƒู† ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ูŠูƒูˆู†
124
+
125
+ 32
126
+ 00:02:42,360 --> 00:02:47,380
127
+ ุงู„ู€ Tumor suppressor gene ูŠุจู‚ู‰ mutations ุงู„ู„ูŠ ู…ู…ูƒู†
128
+
129
+ 33
130
+ 00:02:47,380 --> 00:02:50,960
131
+ ุชุตูŠุฑ ููŠ ุงู„ู€ promoter regions ูˆู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„
132
+
133
+ 34
134
+ 00:02:50,960 --> 00:02:56,660
135
+ expression ู„ู„ุฌูŠู†ุงุช ูˆุนู†ุง ุฃูŠุถู‹ุง ุงู„ AP genetics ุงู„ู„ูŠ
136
+
137
+ 35
138
+ 00:02:56,660 --> 00:03:03,700
139
+ ุจุฑุถู‡ ู…ู…ูƒู† ุชุนู…ู„ูŠ silencing ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู„ุฌูŠู†ุงุช
140
+
141
+ 36
142
+ 00:03:07,760 --> 00:03:12,460
143
+ ูˆู‡ู†ุฑูƒุฒ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ู€ chapter ุนู„ู‰ ุงู„ู€ DNA protein
144
+
145
+ 37
146
+ 00:03:12,460 --> 00:03:17,200
147
+ interactions in the transcriptional regulation ุฒูŠ
148
+
149
+ 38
150
+ 00:03:17,200 --> 00:03:21,140
151
+ ู…ุง ู‡ู†ุดูˆู ูˆุงุฑุชุจุงุท ุงู„ู€ transcription factor ู…ุน ุงู„ู€
152
+
153
+ 39
154
+ 00:03:21,140 --> 00:03:25,440
155
+ response element ุนู„ู‰ ุงู„ู€ DNA ุฃูŠุถู‹ุง ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุฃู†ู‡
156
+
157
+ 40
158
+ 00:03:25,440 --> 00:03:29,660
159
+ ุงู„ู€ chromatin configuration ุจุฑุถู‡ ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„ู€
160
+
161
+ 41
162
+ 00:03:29,660 --> 00:03:34,060
163
+ gene expression ุจุงู„ุฅุถุงูุฉ ู„ู„ู€ telomere extension
164
+
165
+ 42
166
+ 00:03:35,880 --> 00:03:40,160
167
+ ุฃูŠุถู‹ุง ุงู„ู€ rule of small non-coding RNAs ุงู„ู„ูŠ ู‡ูˆ
168
+
169
+ 43
170
+ 00:03:40,160 --> 00:03:43,600
171
+ ุงู„ู€ micro RNAs ุจุฑุถู‡ ุฅู„ู‡ุง ุฏูˆุฑ in the regulation of
172
+
173
+ 44
174
+ 00:03:43,600 --> 00:03:49,900
175
+ post transcriptional gene expression ูˆู‡ุฐู‡ ุงู„ู†ู‚ุงุช
176
+
177
+ 45
178
+ 00:03:49,900 --> 00:03:55,760
179
+ ุงู„ู„ูŠ ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชุทุฑู‚ ู„ู‡ุง ู…ู† ุฎู„ุงู„ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ
180
+
181
+ 46
182
+ 00:03:55,760 --> 00:04:01,980
183
+ ูˆุทุจุนู‹ุง ูŠุนู†ูŠ ูƒู„ู‡ุง ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„ู€ gene expression
184
+
185
+ 47
186
+ 00:04:01,980 --> 00:04:07,590
187
+ ูˆููŠ ุงู„ู†ู‡ุงูŠุฉ ูˆุทุจุนู‹ุง ุฒูŠ ู…ุงุญู†ุดูˆู ูŠุนู†ูŠ ููŠ ูƒู„ ู…ุญุงุถุฑุฉ
188
+
189
+ 48
190
+ 00:04:07,590 --> 00:04:12,890
191
+ ู‡ู†ุชุทุฑู‚ ู„ู„ therapeutic strategies ู„ุฃู† ุงุญู†ุง ุฒูŠ ู…ุง
192
+
193
+ 49
194
+ 00:04:12,890 --> 00:04:17,410
195
+ ุงุชูู‚ู†ุง ู…ู† ุงู„ุจุฏุงูŠุฉ ุฃู†ู‡ ุจุงู„ุฃูˆู„ ุจู†ูู‡ู… ุฅูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ
196
+
197
+ 50
198
+ 00:04:17,410 --> 00:04:21,030
199
+ ุงู„ู„ูŠ ู‡ูˆ ุจุดูƒู„ ุทุจูŠุนูŠ ูˆ ุฅูŠุด ุงู„ุชุบูŠุฑุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ
200
+
201
+ 51
202
+ 00:04:21,030 --> 00:04:23,530
203
+ ุฅู„ู‰ ุงู„ cancer ูˆ ุจุนุฏูŠู† ุฅูŠุด ุงู„ therapeutic
204
+
205
+ 52
206
+ 00:04:23,530 --> 00:04:25,910
207
+ strategies ุงู„ู…ูˆุฌูˆุฏุฉ
208
+
209
+ 53
210
+ 00:04:31,100 --> 00:04:35,200
211
+ ุทูŠุจ ู†ุจุฏุฃ ุจุงู„ู€ transcription factors and
212
+
213
+ 54
214
+ 00:04:35,200 --> 00:04:39,680
215
+ transcriptional regulation ุงู„ู€ transcription
216
+
217
+ 55
218
+ 00:04:39,680 --> 00:04:43,800
219
+ factors ุนุจุงุฑุฉ ุนู† ุงู„ proteins that bind to gene
220
+
221
+ 56
222
+ 00:04:43,800 --> 00:04:49,460
223
+ promoters and regulate transcriptionูˆูŠู…ูƒู† ุญูƒูŠู†ุง ููŠ
224
+
225
+ 57
226
+ 00:04:49,460 --> 00:04:54,340
227
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุช ุนู† ูŠุนู†ูŠ ุฐูƒุฑู†ุง transcription factor
228
+
229
+ 58
230
+ 00:04:54,340 --> 00:04:58,720
231
+ ูˆูŠู‚ูˆู„ู†ุง ุฅู†ู‡ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ุจุฑูˆุชูŠู† ุจูŠูŠุฌูŠ ุจูŠุฑุชุจุท ู…ุน
232
+
233
+ 59
234
+ 00:04:58,720 --> 00:05:04,800
235
+ specific sequence ุนู„ู‰ ุงู„ู€ DNA ูˆู‡ุฐุง ู…ู…ูƒู† ูŠุนู…ู„ ู„ูŠ
236
+
237
+ 60
238
+ 00:05:04,800 --> 00:05:09,820
239
+ recruitment ู„ other proteins ูˆุทุจุนุง ุจุงู„ู†ู‡ุงูŠุฉ ู„ู‚ู‰
240
+
241
+ 61
242
+ 00:05:09,820 --> 00:05:14,740
243
+ RNA polymerase ุนุดุงู† ุชุตูŠุฑ transcription ู„ุฌูŠู† ู…ุนูŠู†
244
+
245
+ 62
246
+ 00:05:17,350 --> 00:05:21,730
247
+ ุชู‚ุฑูŠุจุงู‹ ุชู„ุช ุขู„ุงู transcription factor regulate the
248
+
249
+ 63
250
+ 00:05:21,730 --> 00:05:28,150
251
+ twenty thousand genes ุงู„ู„ูŠ ุจุชุญูƒู… ุจูŠู‡ ุงู„ุนุดุฑูŠู† ุฃู„ู
252
+
253
+ 64
254
+ 00:05:28,150 --> 00:05:31,550
255
+ ุฌูŠู† ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุชู„ุช ุขู„ุงู transcription
256
+
257
+ 65
258
+ 00:05:31,550 --> 00:05:38,290
259
+ factor ูู‚ุท ู‡ุฐุง ุฃุดุจ ูŠุนู†ูŠุจูŠุนู†ูŠ ุฅู†ู‡ ุนู†ุฏู†ุง ุงู„ู€
260
+
261
+ 66
262
+ 00:05:38,290 --> 00:05:43,850
263
+ Transcription Factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุชุญูƒู… ุจุฃูƒุซุฑ ู…ู†
264
+
265
+ 67
266
+ 00:05:43,850 --> 00:05:51,350
267
+ ุฌูŠู† Transcription Factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠุชุญูƒู… ููŠ ุงู„
268
+
269
+ 68
270
+ 00:05:51,350 --> 00:05:57,790
271
+ expression ู„ุฃูƒุชุฑ ู…ู† ุฌูŠู† ุงู„ Transcription Factor
272
+
273
+ 69
274
+ 00:05:57,790 --> 00:06:02,990
275
+ ุทุจุนุง ู‚ู„ู†ุง ุนุจุงุฑุฉ ุนู† ุงู„ protein ูˆ ุงู„ Transcription
276
+
277
+ 70
278
+ 00:06:02,990 --> 00:06:10,630
279
+ Factor ุจูŠุญุชูˆูŠุนู„ู‰ independent protein modules ุฃูˆ
280
+
281
+ 71
282
+ 00:06:10,630 --> 00:06:18,230
283
+ ุชุณู…ู‰ domains ูˆุงู„ domain ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฌุฒุก ู…ู† ุงู„
284
+
285
+ 72
286
+ 00:06:18,230 --> 00:06:22,770
287
+ protein that can fold independently of other
288
+
289
+ 73
290
+ 00:06:22,770 --> 00:06:28,730
291
+ domainsูŠุจู‚ู‰ ุนู†ุฏู†ุง ุณู„ุณู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ protein ุงู„ู€
292
+
293
+ 74
294
+ 00:06:28,730 --> 00:06:35,370
295
+ sequence ู„ุฃ ุงู„ู€ amino acids ุงู„ุขู† ุงู„ุฃุฌุฒุงุก
296
+
297
+ 75
298
+ 00:06:35,370 --> 00:06:38,330
299
+ ุงู„ู…ุฎุชู„ูุฉ ู…ู† ุงู„ู€ amino acids ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ุจุฑูˆุชูŠู†
300
+
301
+ 76
302
+ 00:06:38,330 --> 00:06:46,130
303
+ ู…ู…ูƒู† ุชุตูŠุฑ ู„ู‡ุง folding ูŠุนู†ูŠ ู…ู†ูุฑุฏุฉ ูˆุชุนุทูŠู†ูŠ ู…ุง ูŠุณู…ู‰
304
+
305
+ 77
306
+ 00:06:46,130 --> 00:06:50,690
307
+ ุจุงู„ู€ domains ูŠุจู‚ู‰ ุงู„ domain protein that can fold
308
+
309
+ 78
310
+ 00:06:50,690 --> 00:06:56,760
311
+ independently of other domainsูˆุนู† ุงู„ transcription
312
+
313
+ 79
314
+ 00:06:56,760 --> 00:07:01,500
315
+ factors ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ููŠู‡ุง ุฃูƒุชุฑ ู…ู† domain ูˆ ุงู„
316
+
317
+ 80
318
+ 00:07:01,500 --> 00:07:06,180
319
+ domains ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ู„ู‡ุง ุทุจุนุง functions ุฃูˆ rules
320
+
321
+ 81
322
+ 00:07:06,180 --> 00:07:10,760
323
+ ู…ุฎุชู„ูุฉ ูˆ ู…ู† ุงู„ domains ุงู„ู„ูŠ ุจุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุจูŠู‡ ุงู„
324
+
325
+ 82
326
+ 00:07:10,760 --> 00:07:15,000
327
+ transcription factor protein ุนู†ุง ุงู„ DNA binding
328
+
329
+ 83
330
+ 00:07:15,000 --> 00:07:19,100
331
+ domain transcriptional activation domains
332
+
333
+ 84
334
+ 00:07:19,100 --> 00:07:26,340
335
+ timerization domains ูˆ ligand binding domainsูˆ ู‡ุฐู‡
336
+
337
+ 85
338
+ 00:07:26,340 --> 00:07:33,140
339
+ ุงู„ุตูˆุฑุฉ ูŠู…ูƒู† ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนุทูŠ ููƒุฑุฉ ุนู† ุงู„ domains ุชู…ุงู…
340
+
341
+ 86
342
+ 00:07:33,140 --> 00:07:37,240
343
+ ูŠุนู†ูŠ ุฒูŠ ู…ุง ุดุงูŠููŠู† ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ protein ู„ูƒู† ููŠ
344
+
345
+ 87
346
+ 00:07:37,240 --> 00:07:40,740
347
+ ุนู†ุฏู‰ different domains ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„
348
+
349
+ 88
350
+ 00:07:40,740 --> 00:07:46,960
351
+ protein ุตู„ู‰ folding ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุจุดูƒู„ ู…ุณุชู‚ู„ ู‡ูŠ
352
+
353
+ 89
354
+ 00:07:46,960 --> 00:07:52,880
355
+ ู‡ู†ุง domain ุขุฎุฑ ู‡ูŠ ู‡ู†ุง domain ุซุงู„ุซ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ู†ุง ู‡ูŠ
356
+
357
+ 90
358
+ 00:07:52,880 --> 00:08:01,030
359
+ ููŠ ุฃู†ู‡ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงู„ threedomains ุทูŠุจ
360
+
361
+ 91
362
+ 00:08:01,030 --> 00:08:04,930
363
+ ุงู„ู„ูŠ ู‚ูˆู„ู†ุง ุฅู†ู‡ ููŠู‡ ุฃู† ุงู„ู€DNA binding domains are
364
+
365
+ 92
366
+ 00:08:04,930 --> 00:08:08,890
367
+ characteristic protein conformations that enable
368
+
369
+ 93
370
+ 00:08:08,890 --> 00:08:12,030
371
+ the transcription factor to bind DNAุŒ ุงุญู†ุง ุจู†ุญูƒูŠ
372
+
373
+ 94
374
+ 00:08:12,030 --> 00:08:15,990
375
+ ุนู„ู‰ ุงู„ู€transcription factorุŒ ูŠุจู‚ู‰ ู„ุงุฒู… ูŠูƒูˆู† ููŠ
376
+
377
+ 95
378
+ 00:08:15,990 --> 00:08:21,160
379
+ ุนู†ุฏู†ุง ุงุฑุชุจุงุท ุจูŠู†ุงู„ู€ Transcription factor ู…ุน ุงู„ู€
380
+
381
+ 96
382
+ 00:08:21,160 --> 00:08:24,460
383
+ DNA ู„ุฃู†ู‡ ู‚ู„ู†ุง ุงุฑุชุจุงุทู‡ ู‡ูŠุนู…ู„ ู„ู€ recruitment ู„ู€
384
+
385
+ 97
386
+ 00:08:24,460 --> 00:08:27,680
387
+ other proteins ูˆุนุดุงู† ูŠุตูŠุฑ ูŠูŠุฌูŠ ุงู„ู€ RNA ุจูˆู„ูŠู…ูŠู†ุงุฒูŠูˆ
388
+
389
+ 98
390
+ 00:08:27,680 --> 00:08:31,560
391
+ ูŠุตูŠุฑ ููŠู‡ ุนู†ุฏู†ุง Transcription ู„ุฌูŠู† ู…ุนูŠู† ูŠุจู‚ู‰ ููŠู‡
392
+
393
+ 99
394
+ 00:08:31,560 --> 00:08:34,460
395
+ ุนู†ุฏู†ุง ุถู…ู† ุงู„ู€ Transcription factor ููŠู‡ ุนู†ุฏู†ุง ุงู„ู€
396
+
397
+ 100
398
+ 00:08:34,460 --> 00:08:39,200
399
+ DNA binding domain ูˆูŠู† ู‡ูŠุฑุชุจุท ู„ู€ Transcription
400
+
401
+ 101
402
+ 00:08:39,200 --> 00:08:43,360
403
+ factor ู…ุน ุงู„ู€ DNA ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุจุงู„ู€ figure ู‡ุงู†
404
+
405
+ 102
406
+ 00:08:43,360 --> 00:08:50,250
407
+ ู‡ุงู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ sequence of DNAุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุนู‡ุง
408
+
409
+ 103
410
+ 00:08:50,250 --> 00:08:53,710
411
+ ุงู„ู€ Transcription Factor ูˆู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ู€
412
+
413
+ 104
414
+ 00:08:53,710 --> 00:08:57,490
415
+ Transcription Factor ุงู„ุจุฑูˆุชูŠู† ุงู„ู„ูŠ ู…ุฑุชุจุท ู…ุน ุงู„ู€
416
+
417
+ 105
418
+ 00:08:57,490 --> 00:09:03,790
419
+ DNA ู‡ูˆ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ DNA ุฒูŠ ู…ุง ู‚ู„ู†ุง Binding
420
+
421
+ 106
422
+ 00:09:03,790 --> 00:09:10,920
423
+ Domainุนู†ุง ุฃูŠุถู‹ุง domain ุขุฎุฑ Transactivation domains
424
+
425
+ 107
426
+ 00:09:10,920 --> 00:09:15,060
427
+ function by binding to other components of the
428
+
429
+ 108
430
+ 00:09:15,060 --> 00:09:18,760
431
+ transcriptional apparatus in order to induce
432
+
433
+ 109
434
+ 00:09:18,760 --> 00:09:22,620
435
+ transcription by RNA polymerase ูŠุจู‚ู‰ ุงุฑุชุจุงุท ู„ู€
436
+
437
+ 110
438
+ 00:09:22,620 --> 00:09:26,920
439
+ Transcription factor ุจูŠุนู…ู„ู‘ูŠ recruitment ู„ other
440
+
441
+ 111
442
+ 00:09:26,920 --> 00:09:32,180
443
+ proteins ุชู…ุงู…ุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ุงู„ู€ coactivators ุฃูˆ
444
+
445
+ 112
446
+ 00:09:32,180 --> 00:09:34,640
447
+ Transactivation domains
448
+
449
+ 113
450
+ 00:09:36,500 --> 00:09:40,640
451
+ ูˆุนุดุงู† ุจุงู„ู†ู‡ุงูŠุฉ ุฒูŠ ู…ุง ู‚ู„ู†ุง ูŠูŠุฌูŠ ุงู„ู€ RNA Polymerase
452
+
453
+ 114
454
+ 00:09:40,640 --> 00:09:43,120
455
+ ูŠุณู‡ู„ูˆุง ุงุฑุชุจุงุท ุงู„ู€ RNA Polymerase ูˆุจุงู„ุชุงู„ูŠ
456
+
457
+ 115
458
+ 00:09:43,120 --> 00:09:50,560
459
+ Transcription ู„ู„ุฌูŠู† ูˆุจุฑุถู‡ ุงู„ figure ู‡ุฐุง ุจูŠูˆุถุญุŒ
460
+
461
+ 116
462
+ 00:09:50,560 --> 00:09:52,760
463
+ ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ู‡ู†ู‚ู„ู†ุง DNA Binding Domain ุงู„ู„ูŠ
464
+
465
+ 117
466
+ 00:09:52,760 --> 00:09:57,340
467
+ ู‡ุฑุชุจุท ู…ุน ุงู„ู€ DNA ููŠ ุนู†ุฏู†ุง ุงู„ Transcription
468
+
469
+ 118
470
+ 00:09:57,340 --> 00:10:02,310
471
+ Activating Domain ุจู‡ุฐุง ุงู„ู€ domainุงู„ู„ูŠ ุจูŠุณุงุนุฏ ุนู„ู‰
472
+
473
+ 119
474
+ 00:10:02,310 --> 00:10:07,670
475
+ ุงุฑุชุจุงุท Coactivators ุจุฑูˆุชูŠู†ุฒ ุจูŠุณุงุนุฏ ุนู„ู‰ ุงุฑุชุจุงุท
476
+
477
+ 120
478
+ 00:10:07,670 --> 00:10:12,490
479
+ Coactivators ุจุฑูˆุชูŠู†ุฒ ูˆุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุตูŠุฑ
480
+
481
+ 121
482
+ 00:10:12,490 --> 00:10:15,810
483
+ ูƒู„ู‡ ุนุดุงู† ุจุงู„ู†ู‡ุงูŠุฉ ูŠุณู‡ู„ูˆุง ุงุฑุชุจุงุท ุงู„ู€ RNA Polymerase
484
+
485
+ 122
486
+ 00:10:15,810 --> 00:10:22,810
487
+ ู…ุน ุทุจุนุงู‹ ู…ุฌู…ูˆุนุฉ ุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ุฐู‡ ูˆุตูŠุฑ ุนู†ุฏู†ุง ุงู„ู€
488
+
489
+ 123
490
+ 00:10:22,810 --> 00:10:29,550
491
+ Transcription ู„ู„ุฌูŠู† ุงู„ู…ุนูŠู† ุฃูŠุถุงู‹ุจุนุถ ุงู„
492
+
493
+ 124
494
+ 00:10:29,550 --> 00:10:35,650
495
+ transcription factors ุจุชุชูƒูˆู† ู…ู† dimers ูŠุนู†ูŠ ู„ุงุฒู…
496
+
497
+ 125
498
+ 00:10:35,650 --> 00:10:37,950
499
+ ูŠูƒูˆู† ููŠู‡ ุฃู†ู‡ two transcription factors ูŠุฌูŠ
500
+
501
+ 126
502
+ 00:10:37,950 --> 00:10:44,170
503
+ ูˆูŠุฑุชุจุทูˆุง ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถ ูˆูŠุนุทูˆู†ูŠ dimerุนุดุงู† ูŠูƒูˆู† ููŠู‡
504
+
505
+ 127
506
+ 00:10:44,170 --> 00:10:47,330
507
+ ุงู†ุง active transcription factor ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠูƒูˆู†
508
+
509
+ 128
510
+ 00:10:47,330 --> 00:10:49,470
511
+ ุจุฑุถู‡ ุงู„ transcription factor ุจูŠุญุชูˆูŠ ุนู„ู‰
512
+
513
+ 129
514
+ 00:10:49,470 --> 00:10:54,290
515
+ dimerization domain ุชู…ุงู…ุŒ dimerization domain ุงู„ู„ูŠ
516
+
517
+ 130
518
+ 00:10:54,290 --> 00:10:57,390
519
+ ู‡ูŠ ุงู„ุฌุฒุก ุฃูˆ ุงู„ domain ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ููŠู‡ ุงู„
520
+
521
+ 131
522
+ 00:10:57,390 --> 00:11:01,970
523
+ transcription factor ู…ุน transcription factor ุขุฎุฑ
524
+
525
+ 132
526
+ 00:11:01,970 --> 00:11:05,490
527
+ ุชู…ุงู… ุฃูˆ ู…ุน protein ุขุฎุฑ ุนุดุงู† ูŠุดูƒู„ูˆู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
528
+
529
+ 133
530
+ 00:11:05,490 --> 00:11:09,590
531
+ transcription factor ุงู„ูƒุงู…ู„ some transcription
532
+
533
+ 134
534
+ 00:11:09,590 --> 00:11:14,580
535
+ factors work in pairsุชุตู…ูŠู… ู…ุง ู†ุณู…ูŠู‡ ุงู„ู€ dimer
536
+
537
+ 135
538
+ 00:11:14,580 --> 00:11:17,700
539
+ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠ ู…ุง ู‚ู„ู†ุง ู†ุญุชุงุฌ ุฅู„ู‰ ูˆุฌูˆุฏ domain
540
+
541
+ 136
542
+ 00:11:17,700 --> 00:11:21,700
543
+ dimerization which facilitates protein-protein
544
+
545
+ 137
546
+ 00:11:21,700 --> 00:11:26,500
547
+ interactions between the two molecules ูˆู‡ู†ุง ุฅู†
548
+
549
+ 138
550
+ 00:11:26,500 --> 00:11:32,780
551
+ ุงู„ููŠุฌุฑ ู‡ุฐุงุจูŠูˆุถุญ ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุงู‹ ู‡ุฐุง ูŠุนู†ูŠ
552
+
553
+ 139
554
+ 00:11:32,780 --> 00:11:37,080
555
+ transcription factor ููŠู‡ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู†ุง ุงู„ู€DNA
556
+
557
+ 140
558
+ 00:11:37,080 --> 00:11:39,860
559
+ binding domain ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ู…ุน ุงู„ู€DNA
560
+
561
+ 141
562
+ 00:11:39,860 --> 00:11:44,380
563
+ ูˆุจูŠุญุชูˆูŠ ุฃูŠุถุงู‹ ุนู„ู‰ dimerization domain ุงู„ู„ูŠ ู‡ูˆ
564
+
565
+ 142
566
+ 00:11:44,380 --> 00:11:47,820
567
+ ุงู„ุฌุฒุก ู‡ุฐุงุŒ ู‡ุฐุง ุงู„ู€domain ุงู„ู„ูŠ ู‡ูˆ ุจูŠุฑุชุจุท ู…ุน
568
+
569
+ 143
570
+ 00:11:47,820 --> 00:11:52,940
571
+ dimerization domain ู„ู„ุจุฑูˆุชูŠู† ุงู„ุฃุฎุฑ ุนุดุงู† ูŠูƒูˆู†ูˆู„ูŠ
572
+
573
+ 144
574
+ 00:11:52,940 --> 00:11:56,340
575
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€transcription factor
576
+
577
+ 145
578
+ 00:11:58,350 --> 00:12:02,270
579
+ ูˆูŠุนู†ูŠ ุงู„ุฌุฒุก ุงู„ุฃุฎูŠุฑ ุฃูˆ ุงู„ู€ domain ุงู„ุฃุฎูŠุฑ ุงู„ู„ูŠ ู…ู…ูƒู†
580
+
581
+ 146
582
+ 00:12:02,270 --> 00:12:08,770
583
+ ูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุงู„ู€ Legand Binding Domain ู„ุฃู† ุจุนุถ ุงู„ู€
584
+
585
+ 147
586
+ 00:12:08,770 --> 00:12:13,590
587
+ Transcription Factors ุจุชุญุชุงุฌ ๏ฟฝ๏ฟฝู„ู‰ Legand ุงุฑุชุจุงุท
588
+
589
+ 148
590
+ 00:12:13,590 --> 00:12:17,490
591
+ Legand ู…ุนูŠู† ู…ุนู‡ุง ุนุดุงู† ุชุชุญูˆู„ ุฅู„ู‰ Active
592
+
593
+ 149
594
+ 00:12:17,490 --> 00:12:22,150
595
+ Transcription Factorุจุนุถ ุงู„ูˆุงู‚ุนุงุช ุงู„ุชุฑุงู†ุณูŠุจูŠุฉ ูู‚ุท
596
+
597
+ 150
598
+ 00:12:22,150 --> 00:12:24,190
599
+ ุชุนู…ู„ ุนู„ู‰ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
600
+
601
+ 151
602
+ 00:12:24,190 --> 00:12:25,690
603
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
604
+
605
+ 152
606
+ 00:12:25,690 --> 00:12:30,410
607
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
608
+
609
+ 153
610
+ 00:12:30,410 --> 00:12:33,650
611
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
612
+
613
+ 154
614
+ 00:12:33,650 --> 00:12:33,850
615
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
616
+
617
+ 155
618
+ 00:12:33,850 --> 00:12:34,390
619
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
620
+
621
+ 156
622
+ 00:12:34,390 --> 00:12:36,850
623
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
624
+
625
+ 157
626
+ 00:12:36,850 --> 00:12:46,330
627
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ .. ุงู„ ..
628
+
629
+ 158
630
+ 00:12:46,330 --> 00:12:49,210
631
+ ุงู„ู€ receptor ู„ู„ู€ Vitamin D ู…ุด ู‡ูŠุชุญูˆู„ ุฅู„ู‰ Active
632
+
633
+ 159
634
+ 00:12:49,210 --> 00:12:54,790
635
+ Transcription Factor ุฅู„ุง ููŠ ุญุงู„ ุงุฑุชุจุท ู…ุน ุงู„ู€
636
+
637
+ 160
638
+ 00:12:54,790 --> 00:12:59,870
639
+ Vitamin D ูˆุจุงู„ุชุงู„ูŠ ุจู‡ุฐู‡ ุงู„ุญุงู„ุฉ ููŠ ุนู†ุง ู‡ูŠูƒูˆู† ู…ูˆุฌูˆุฏ
640
+
641
+ 161
642
+ 00:12:59,870 --> 00:13:03,510
643
+ Ligand Binding Domain ููŠ ุงู„ู€ receptor ุงู„ุฎุงุต ุจุงู„ู€
644
+
645
+ 162
646
+ 00:13:03,510 --> 00:13:08,830
647
+ Vitamin D ูˆุงู„ู„ูŠ ุจูŠุนู…ู„ ูƒ Transcription Factor ูˆู‡ุฐุง
648
+
649
+ 163
650
+ 00:13:08,830 --> 00:13:14,840
651
+ ุงู„ figure ุฃูŠุถุง ุจูŠูˆุถุญูˆู‡ูŠ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ุงู„ู€ Ligand
652
+
653
+ 164
654
+ 00:13:14,840 --> 00:13:18,780
655
+ Binding Domain ุชู…ุงู…ุŒ ุงู„ู€ Ligand Binding DomainุŒ ุฒูŠ
656
+
657
+ 165
658
+ 00:13:18,780 --> 00:13:24,700
659
+ ู…ุง ู‚ูˆู„ู†ุง ู‡ุฐุง ู…ุน ุงุฑุชุจุงุท ุทุจุนุง ุงู„ู€ LigandุŒ ุญูŠุตูŠุฑ ููŠู‡ุง
660
+
661
+ 166
662
+ 00:13:24,700 --> 00:13:29,560
663
+ ุงู„ู€ Deconformational Exchange ูˆุญูŠุตูŠุฑ ููŠู‡ Release
664
+
665
+ 167
666
+ 00:13:29,560 --> 00:13:33,280
667
+ ู„ู€ ุงู„ู€ Inhibitor Proteins ูˆุญูŠุตูŠุฑ ููŠู‡ุง ุฅู†ู‡ ุทุจุนุง
668
+
669
+ 168
670
+ 00:13:33,280 --> 00:13:37,700
671
+ Recruitment ู„ู€ ุงู„ู€ Coactivators Protein ู…ุน ุงุฑุชุจุงุท
672
+
673
+ 169
674
+ 00:13:37,700 --> 00:13:46,560
675
+ ุงู„ู€ ุงู„ุจุฑูˆุชูŠู† ู‡ุฐุงุทุจุนุงู‹ ู…ุน ุงู„ู€ DNA ุชู…ุงู…ุŸ ูˆู‡ุฐุง ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:13:46,560 --> 00:13:48,900
679
+ ู‡ูˆ ุงู„ู†ูˆุน ุงู„ุฃุฎูŠุฑ ู…ู† ุงู„ domains ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู†
680
+
681
+ 171
682
+ 00:13:48,900 --> 00:13:55,780
683
+ ู…ูˆุฌูˆุฏุฉ ู…ุน ุงู„ transcription factor ุงู„ุขู†
684
+
685
+ 172
686
+ 00:13:55,780 --> 00:13:58,960
687
+ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู‚ุจู„ ุดูˆูŠุฉ ู‚ูˆู„ู†ุง ุฃู†ู‡ ููŠู†ุง 3000
688
+
689
+ 173
690
+ 00:13:58,960 --> 00:14:03,660
691
+ transcription factor ูˆู‡ุฏูˆู„ ูุนู„ูŠุง ุจุชุญูƒู…ูˆุง ุจู€ 20000
692
+
693
+ 174
694
+ 00:14:03,660 --> 00:14:08,590
695
+ ุฌูŠู† ูˆุฒูŠ ู…ุงุญูƒูŠู†ุง ุฅู†ู‡ ู…ุนู†ุงู‡ ููŠู‡ ุฅู† ุงู„ู€ Transcription
696
+
697
+ 175
698
+ 00:14:08,590 --> 00:14:14,390
699
+ ุงู„ู€ factor ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูุนู„ูŠู‹ุง ูŠุชุญูƒู… ุจุฃูƒุชุฑ ู…ู† ุฌูŠู†
700
+
701
+ 176
702
+ 00:14:14,390 --> 00:14:19,550
703
+ ูˆูุนู„ูŠู‹ุง ุฅู† many oncogenic signaling pathways
704
+
705
+ 177
706
+ 00:14:19,550 --> 00:14:25,870
707
+ leading to uncontrolled growth ูŠุจู‚ู‰ genes ุงู„ู„ูŠ ู„ู‡ุง
708
+
709
+ 178
710
+ 00:14:25,870 --> 00:14:31,870
711
+ ุนู„ุงู‚ุฉ ุจุงู„growth ูˆ ุงู„ู€ proliferation ู„ุฃ ุงู„ุฎู„ุงูŠุง ุฅู†ู‡
712
+
713
+ 179
714
+ 00:14:31,870 --> 00:14:36,190
715
+ genes ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ ุจุงู„-apoptosisุฃูˆ ุงู„ู€
716
+
717
+ 180
718
+ 00:14:36,190 --> 00:14:40,410
719
+ differentiation ูƒู„ ู‡ุฐู‡ ู…ู…ูƒู† ุชุชู… ุงู„ุชุญูƒู… ููŠู‡ุง ู…ู†
720
+
721
+ 181
722
+ 00:14:40,410 --> 00:14:46,550
723
+ ุฎู„ุงู„ ุงู„ transcription factor ูˆุงุญุฏ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ูƒุงู†
724
+
725
+ 182
726
+ 00:14:46,550 --> 00:14:50,170
727
+ ุตุงุฑ ููŠ ุนู†ุง a mutation ุฃูˆ ุตุงุฑ ููŠ ุนู†ุง ู…ุดูƒู„ุฉ ููŠ ู‡ุฐุง
728
+
729
+ 183
730
+ 00:14:50,170 --> 00:14:54,570
731
+ ุงู„ transcription factor ู…ุนู†ุงู‡ ู‡ุชุชุฃุซุฑ ุนู†ุง ุงู„ุชู„ุช
732
+
733
+ 184
734
+ 00:14:54,570 --> 00:14:58,570
735
+ ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ growth ุงู„apoptosis ูˆ ุงู„
736
+
737
+ 185
738
+ 00:14:58,570 --> 00:15:03,280
739
+ differentiationูŠุจู‚ู‰ misregulation of a single
740
+
741
+ 186
742
+ 00:15:03,280 --> 00:15:12,620
743
+ transcription factor can cause cancer ุนู†ุฏู†ุง
744
+
745
+ 187
746
+ 00:15:12,620 --> 00:15:19,600
747
+ ู…ุซุงู„ ุนู„ู‰ transcription factor AP1 ุฃูˆ Activator
748
+
749
+ 188
750
+ 00:15:19,600 --> 00:15:26,920
751
+ Protein 1 ุจุนุจุงุฑุฉ ุนู† transcription factorูˆู‡ุฐุง ุงู„
752
+
753
+ 189
754
+ 00:15:26,920 --> 00:15:31,120
755
+ transcription factor ูุนู„ูŠู‹ุง ู„ู‡ ุนู„ุงู‚ุฉ ููŠ ุงู„
756
+
757
+ 190
758
+ 00:15:31,120 --> 00:15:34,260
759
+ expression ู„ genes ุจุฎุชู„ูุฉ ูˆ ุงู„ genes ู‡ุฐู‡ ุงู„ู„ูŠ ู„ู‡ุง
760
+
761
+ 191
762
+ 00:15:34,260 --> 00:15:38,440
763
+ ุนู„ุงู‚ุฉ ุจูŠู‡ ู„ growth ุจุงู„ differentiation ูˆ ุงู„ death
764
+
765
+ 192
766
+ 00:15:38,440 --> 00:15:43,860
767
+ ูˆ ุจุงู„ุชุงู„ูŠ ุจูŠู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ู„ูˆ ุตุงุฑ ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ููŠ
768
+
769
+ 193
770
+ 00:15:43,860 --> 00:15:48,560
771
+ ุงู„ AP1 ูŠุจู‚ู‰ ู‡ูŠู„ุนุจ ุฏูˆุฑ ู…ู‡ู… ููŠ ุงู„ carcinogenesis
772
+
773
+ 194
774
+ 00:15:50,430 --> 00:15:55,950
775
+ ุงู„ู€ AP1 ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ู‰ response element ููŠ ุงู„ู€ DNA
776
+
777
+ 195
778
+ 00:15:55,950 --> 00:16:00,310
779
+ ูˆููŠ ุฃู†ู‡ ู…ูƒุงู†ูŠู† ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ูŠู‡ู… ุงู„ู€ AP1 ุนู†ุฏู†ุง
780
+
781
+ 196
782
+ 00:16:00,310 --> 00:16:08,570
783
+ ุงู„ู…ูƒุงู† ุงู„ุฃูˆู„ ุงู„ู€ 12-O-tetradecanoyl-farbol-13
784
+
785
+ 197
786
+ 00:16:08,570 --> 00:16:12,590
787
+ -acetate ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ TPA ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€
788
+
789
+ 198
790
+ 00:16:12,590 --> 00:16:18,330
791
+ TPA response elementุฃูˆ ุงู„ู€ AP1 ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ู‰ ุงู„ู€
792
+
793
+ 199
794
+ 00:16:18,330 --> 00:16:23,450
795
+ Cyclic AMP Response Element ุทุจุนุงู‹ ููŠ ุงู„ู€ promoters
796
+
797
+ 200
798
+ 00:16:23,450 --> 00:16:28,010
799
+ ู„ู„ู€ target genes ูŠุจู‚ู‰ ู…ูƒุงู†ูŠู† ู…ู…ูƒู† ูŠุฑุชุจุท ู…ุนู‡ู… ุงู„ู€
800
+
801
+ 201
802
+ 00:16:28,010 --> 00:16:32,750
803
+ AP1 TBA Response Element ุฃูˆ Cyclic AMP Response
804
+
805
+ 202
806
+ 00:16:32,750 --> 00:16:38,430
807
+ Element because the processes of growth
808
+
809
+ 203
810
+ 00:16:38,430 --> 00:16:41,950
811
+ differentiation and apoptosis need to be carefully
812
+
813
+ 204
814
+ 00:16:41,950 --> 00:16:50,600
815
+ regulatedุงู„ู€ AP1 ุชุนู…ู„ ุจู†ูุณู‡ุง ููŠ ุฅุฌุงุจุฉ ุฅู„ู‰ ุฅุดุนุงุฑุงุช
816
+
817
+ 205
818
+ 00:16:50,600 --> 00:16:54,420
819
+ ู…ุญุฏุฏุฉ ู…ุซู„ ุงู„ู€ Growth Factors ุงู„ู€ Oxygen Species
820
+
821
+ 206
822
+ 00:16:54,420 --> 00:17:01,300
823
+ ุงู„ุงุฌุชู…ุงุนูŠ ูˆุงู„ุฑุฏูŠุงุดู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุนูˆุงู…ู„ ุงู„ุฎุงุฑุฌูŠุฉ ุฃูˆ
824
+
825
+ 207
826
+ 00:17:01,300 --> 00:17:06,020
827
+ ุงู„ู€ Stress Factors ู…ู…ูƒู† ุชุฃุซุฑ ูˆุชู„ุนุจ ุฏูˆุฑ ููŠ ุนู…ู„ูŠุฉ
828
+
829
+ 208
830
+ 00:17:06,020 --> 00:17:11,350
831
+ ุงู„ู€ Regulation ู„ู„ู€ AP1ูˆุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุจุงู„ู€ Figure
832
+
833
+ 209
834
+ 00:17:11,350 --> 00:17:16,050
835
+ ู‡ุฐุง ููŠู‡ ุฃู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุนูˆุงู…ู„ ุฒูŠ ุงู„ู€ cytokines ุฒูŠ
836
+
837
+ 210
838
+ 00:17:16,050 --> 00:17:20,210
839
+ ุงู„ู€ stress ุฒูŠ ุงู„ู€ growth factors ู‡ุฐู‡ ูƒู„ู‡ุง ูˆุนู† ุทุฑูŠู‚
840
+
841
+ 211
842
+ 00:17:20,210 --> 00:17:25,030
843
+ ุทุจุนุงู‹ different signaling pathways ู…ู…ูƒู† ุจุงู„ู†ู‡ุงูŠุฉ
844
+
845
+ 212
846
+ 00:17:25,030 --> 00:17:31,610
847
+ ุงุชุฃุซุฑ ููŠ ุนู…ู„ูŠุฉ ุงู„ regulation ู„ู€AP1 Transcription
848
+
849
+ 213
850
+ 00:17:31,610 --> 00:17:32,670
851
+ Factor
852
+
853
+ 214
854
+ 00:17:39,510 --> 00:17:43,330
855
+ ุงู„ู€ AP1 Transcription Factor ุจูŠุชูƒูˆู† ู…ู† two
856
+
857
+ 215
858
+ 00:17:43,330 --> 00:17:47,370
859
+ components and can be produced by dimers of
860
+
861
+ 216
862
+ 00:17:47,370 --> 00:17:51,510
863
+ proteins from the Jun and Fos families ุจูŠูƒูˆู†
864
+
865
+ 217
866
+ 00:17:51,510 --> 00:17:55,970
867
+ ุนุงุฆู„ุชูŠู† ู…ู† ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ Jun protein family ูˆ Fos
868
+
869
+ 218
870
+ 00:17:55,970 --> 00:17:58,110
871
+ protein family
872
+
873
+ 219
874
+ 00:17:59,910 --> 00:18:04,050
875
+ ุงู„ู€ ุงู„ู€ ุงู„ุจุฑูˆุชูŠู†ุงุช ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุจู‡ุง ุฏูˆู„ ุงู„ุนุงุฆู„ุชูŠู†
876
+
877
+ 220
878
+ 00:18:04,050 --> 00:18:09,270
879
+ ู…ู…ูƒู† ูŠุนู…ู„ูˆุง dimers ูˆูŠู†ุชุฌ ุนู†ู‡ู… ุงู„ู€ AP1
880
+
881
+ 221
882
+ 00:18:09,270 --> 00:18:12,630
883
+ transcription factor ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุจู‡ุฐุง ุงู„ู€ figure
884
+
885
+ 222
886
+ 00:18:12,630 --> 00:18:16,330
887
+ ุงู„ู„ูŠ ู„ุฏูŠู†ุง ุจุฑูˆุชูŠู† ู…ู† ุงู„ู€ ยซููˆุณยป family ู…ุน ุจุฑูˆุชูŠู† ู…ู†
888
+
889
+ 223
890
+ 00:18:16,330 --> 00:18:20,970
891
+ ุงู„ ยซุฌุงู†ยป family ุชู…ุงู…ุŒ ู…ู…ูƒู† ูŠุนู…ู„ูˆู„ูŠุŒ ูŠุดูƒู„ูˆู„ูŠ dimer
892
+
893
+ 224
894
+ 00:18:20,970 --> 00:18:26,690
895
+ ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู€ AP1 transcription factor
896
+
897
+ 225
898
+ 00:18:28,750 --> 00:18:34,190
899
+ ูŠุจู‚ู‰ ู…ู…ูƒู† ูŠูƒูˆู† ุทุจุนุง ุฃู† ุงู„ .. ุงู„ dimer ูŠุนู†ูŠ ู…ู† ู†ูุณ
900
+
901
+ 226
902
+ 00:18:34,190 --> 00:18:39,050
903
+ ุงู„ .. ุงู„ุนุงุฆู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ุฌู† ุฃูˆ ู…ู† ุงู„ููˆุณ ุฃูˆ ุฒูŠ
904
+
905
+ 227
906
+ 00:18:39,050 --> 00:18:43,190
907
+ ู…ุง ู‚ู„ู†ุง ู…ู† .. ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ dimer ู…ู† ุงู„
908
+
909
+ 228
910
+ 00:18:43,190 --> 00:18:46,550
911
+ protein ู…ู† ุงู„ gen family ูˆ protein ุฃุฎุฑ ู…ู† ุงู„ููˆุณ
912
+
913
+ 229
914
+ 00:18:46,550 --> 00:18:50,650
915
+ family ูˆ ุจูŠุฏูŠ ุงู„ุญุงู„ุฉ ู‡ูŠูƒูˆู† hetero dimer ูˆ ู„ูˆ ูƒุงู†
916
+
917
+ 230
918
+ 00:18:50,650 --> 00:18:54,430
919
+ ุทุจุนุง ู…ู† ู†ูุณ ุงู„ุนุงุฆู„ุฉ ู‡ูŠูƒูˆู† ุฃู†ู‡ homodimer
920
+
921
+ 231
922
+ 00:18:59,620 --> 00:19:03,760
923
+ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ transcription factor ุงู„ู„ูŠ ู‡ูˆ ุงู„
924
+
925
+ 232
926
+ 00:19:03,760 --> 00:19:09,340
927
+ AP1 play a role in tumor genesisูˆ ุทุจุนุง ู‡ุฐุง ุชู…
928
+
929
+ 233
930
+ 00:19:09,340 --> 00:19:15,080
931
+ ุฅุซุจุงุชู‡ ู…ู† ุฎู„ุงู„ ุงู„ research ูˆ ุงู„ุฃุจุญุงุซ ุงู„ู„ูŠ ุชู…ุช ูˆ ู‡ูŠ
932
+
933
+ 234
934
+ 00:19:15,080 --> 00:19:18,660
935
+ the first members of AP1 identified ุงู„ู„ูŠ ู‡ูˆ ุฃูˆู„
936
+
937
+ 235
938
+ 00:19:18,660 --> 00:19:21,780
939
+ ุนุถูˆ ุชู… ุงูƒุชุดุงูู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ .. ุงู„ heterodimer
940
+
941
+ 236
942
+ 00:19:21,780 --> 00:19:28,120
943
+ C.John Maciphos ู„ู‚ูˆุง ุฃู†ู‡ ู‡ุฐุง ุงู„ AP1 can transform
944
+
945
+ 237
946
+ 00:19:28,120 --> 00:19:33,200
947
+ normal cells in culture to cancer cells and are
948
+
949
+ 238
950
+ 00:19:33,200 --> 00:19:37,940
951
+ frequently over expressed in tumor cellsูŠุจู‚ู‰
952
+
953
+ 239
954
+ 00:19:37,940 --> 00:19:42,300
955
+ ุงู„ุฎู„ุงูŠุง ุงู„ู„ูŠ ุจู†ู…ูŠู‡ุง ุจูŠ ุงู„ู…ุฎุชุจุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ cell
956
+
957
+ 240
958
+ 00:19:42,300 --> 00:19:47,400
959
+ culture ุฌุงุจูˆุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ AP1 member ุงู„ู„ูŠ ู…ุชูƒูˆู† ู…ู†
960
+
961
+ 241
962
+ 00:19:47,400 --> 00:19:54,440
963
+ C-Gen ูˆ C-Foss ูˆู„ุงู‚ูˆุง ุฃู† ูˆุฌูˆุฏ ุงู„ AP1 ุจูŠุญูˆู„ ุงู„ุฎู„ุงูŠุง
964
+
965
+ 242
966
+ 00:19:54,440 --> 00:20:00,350
967
+ ุงู„ู…ูˆุฌูˆุฏุฉ ู‡ุฐู‡ ุฅู„ู‰ cancer cellsูˆุจุฑุถู‡ ู…ู† ุฎู„ุง๏ฟฝ๏ฟฝ ุงู„ุฃุจุญุงุซ
968
+
969
+ 243
970
+ 00:20:00,350 --> 00:20:05,610
971
+ ุงู„ู…ุฎุชู„ูุฉ ู„ุฌูˆุง ุงู†ู‡ ู„ tumor cells ููŠ ุนู†ุง ุจูŠุตูŠุฑ over
972
+
973
+ 244
974
+ 00:20:05,610 --> 00:20:10,610
975
+ expression ู„ ุงู„ AP1 transcription factor ูˆ ุงุญู†ุง ุฒูŠ
976
+
977
+ 245
978
+ 00:20:10,610 --> 00:20:14,150
979
+ ู…ุง ุญูƒูŠู†ุง ุงู†ู‡ ุงู„ AP1 ุจูŠู„ุนุจ ุฏูˆุฑ ููŠ ุงู„ growth ููŠ ุงู„
980
+
981
+ 246
982
+ 00:20:14,150 --> 00:20:17,950
983
+ apoptosis ูˆ ููŠ ุงูŠุถุง ุงู„ differentiation ูˆ ุฒูŠ ู…ุง
984
+
985
+ 247
986
+ 00:20:17,950 --> 00:20:21,230
987
+ ู‚ูˆู„ู†ุง ุงุฐุง cancer ููŠ ุนู†ุง ู…ุดูƒู„ุฉ ููŠ ุงู„ AP1 ูŠุจู‚ู‰
988
+
989
+ 248
990
+ 00:20:21,230 --> 00:20:27,490
991
+ ุงู„ู†ุชูŠุฌุฉ ู…ู…ูƒู† ุชูƒูˆู† cancerู‚ู„ู†ุง ุฅู† ุงู„ู€ response
992
+
993
+ 249
994
+ 00:20:27,490 --> 00:20:32,790
995
+ element ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฑุชุจุท ุนู„ูŠู‡ุง ุงู„ู€ AP1 ุงู„ู€ TBA
996
+
997
+ 250
998
+ 00:20:32,790 --> 00:20:37,730
999
+ response element ูˆ ุงู„ู€ TBA ุฒูŠ ู…ุง ู‚ู„ู†ุง ู‡ูŠ ุนุจุงุฑุฉ
1000
+
1001
+ 251
1002
+ 00:20:37,730 --> 00:20:43,670
1003
+ ุฃุตู„ุง ุนู† chemical ูˆ ุงู„ู€ chemical ู‡ุฐุง ู‡ูˆ ุนุจุงุฑุฉ ุนู†
1004
+
1005
+ 252
1006
+ 00:20:43,670 --> 00:20:48,850
1007
+ potent tumor promoter ุชู…ุงู…ุŒ ูˆุฌูˆุฏ ู‡ุฐุง ุงู„chemical
1008
+
1009
+ 253
1010
+ 00:20:48,850 --> 00:20:55,340
1011
+ ู…ู…ูƒู† ูŠุคุฏูŠ ุฅู„ู‰ ุญุฏูˆุซ cancerูˆ ุงู„ .. ุงู„ response
1012
+
1013
+ 254
1014
+ 00:20:55,340 --> 00:21:00,280
1015
+ element ุฃุฎุฏ ุงู„ุงุณู… ู„ู‡ุฐุง ุงู„ chemical ูˆ ู„ุงุฌูˆุง ุฃู† ุงู„
1016
+
1017
+ 255
1018
+ 00:21:00,280 --> 00:21:05,740
1019
+ AP1 ุจูŠุฑุชุจุท ุนู„ู‰ ู†ูุณ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ุจูŠุฑุชุจุท ุนู„ูŠู‡ ุงู„ TBA
1020
+
1021
+ 256
1022
+ 00:21:05,740 --> 00:21:13,400
1023
+ ุชู…ุงู…ูŠ ุจูŠู‡ุŸ ุงู„ .. ุงู„ AP1 ู‡ูŠูƒ ุจูŠุฃูƒุฏูˆุง ุฃู†ู‡ ู„ู‡ ุนู„ุงู‚ุฉ
1024
+
1025
+ 257
1026
+ 00:21:13,400 --> 00:21:18,960
1027
+ ููŠ ุญุฏูˆุซ ุงู„ cancer ุงู„ TBA is a tumor promoter
1028
+
1029
+ 258
1030
+ 00:21:19,430 --> 00:21:22,510
1031
+ ุจุงู„ุชุงู„ูŠุŒ ุฅุฐุง ูƒุงู† ู…ุฌู„ุฏ AP1 ู…ุฑุชุจุท ุจู…ุฌู„ุฏ ุงู„ู€ TPA
1032
+
1033
+ 259
1034
+ 00:21:22,510 --> 00:21:26,530
1035
+ Response Element ูŠุจู‚ู‰ ููŠู‡ ุฃู† ุนู„ุงู‚ุฉ ููŠ ุงู„ุงุชุตุงู„ AP1
1036
+
1037
+ 260
1038
+ 00:21:26,530 --> 00:21:30,870
1039
+ ู…ุน ูƒุฑุณูŠู†ูˆุฌูŠู†ูŠุณูŠุง ูƒุงู†ุช ู…ู„ุชูุฉ ู‚ุจู„ ูˆู‚ุช ุชุญู‚ูŠู‚ ู‡ุฐู‡
1040
+
1041
+ 261
1042
+ 00:21:30,870 --> 00:21:37,050
1043
+ ุงู„ุญู‚ูŠู‚ุฉ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ูˆุงุถุญ ุฃู†ู‡ ุนู†ุฏู†ุงุงู„ู€ Response
1044
+
1045
+ 262
1046
+ 00:21:37,050 --> 00:21:40,410
1047
+ Element ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ TPA ู…ุน ุงุฑุชุจุงุท ุงู„ู€ TPA ุงู„ู„ูŠ ู‡ูˆ
1048
+
1049
+ 263
1050
+ 00:21:40,410 --> 00:21:44,470
1051
+ ุนุจุงุฑุฉ ุนู† Potent Tumor Promoter ูˆู…ุง ุฒุงู„ ุงู„ู€ AP1
1052
+
1053
+ 264
1054
+ 00:21:44,470 --> 00:21:47,110
1055
+ ุจุชูŠุฌูŠ ุจุชุฑุชุจุท ุนู„ู‰ ู‡ุฐุง ุงู„ู€ Response Element ุงู„ู„ูŠ
1056
+
1057
+ 265
1058
+ 00:21:47,110 --> 00:21:51,910
1059
+ ุจูŠุฑุชุจุท ุนู„ูŠู‡ ุงู„ู€ TPA ุชู…ุงู…ุŒ ูŠุจู‚ู‰ ู…ุนู†ุงู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
1060
+
1061
+ 266
1062
+ 00:21:51,910 --> 00:21:55,450
1063
+ ุงู„ู€ AP1 ูˆุจูŠู† ุญุฏูˆุซ ุงู„ู€ Cancer
1064
+
1065
+ 267
1066
+ 00:22:00,600 --> 00:22:05,120
1067
+ ุชู…ุงู… ุจูŠู‡ุงู† ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ AP1 ูˆู‡ุงู† ุงู„ู„ูŠ ู‡ูˆ
1068
+
1069
+ 268
1070
+ 00:22:05,120 --> 00:22:09,760
1071
+ ุงู„ AP1 ู…ุชูƒูˆู† ู…ู†ุงู„ู€ C-Gen ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู‡ุชูŠุฑูˆ
1072
+
1073
+ 269
1074
+ 00:22:09,760 --> 00:22:17,000
1075
+ ุฏุงูŠู…ุฑ ู…ู† C-Gen ูˆู…ู† C-Foss ู…ุฑุชุจุท ุนู„ู‰ ุงู„ู„ูŠ ุทุจุนุง ุงู„ู€
1076
+
1077
+ 270
1078
+ 00:22:17,000 --> 00:22:20,840
1079
+ response element ุฃูˆ ุงู„ู€ DNA sequence ุงู„ุฎุงุตุฉ ููŠู‡
1080
+
1081
+ 271
1082
+ 00:22:20,840 --> 00:22:27,460
1083
+ ุทุจุนุง ู‡ุฐู‡ ูŠุนู†ูŠ ุตูˆุฑุฉ ู…ุฎุชุตุฑุฉ ู„ุง ุชุดู…ู„ ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1084
+
1085
+ 272
1086
+ 00:22:27,460 --> 00:22:30,120
1087
+ recruitment ู„ ุงู„ู€ other proteins ุงู„ู„ูŠ ู…ู…ูƒู† ุชู„ุนุจ
1088
+
1089
+ 273
1090
+ 00:22:30,120 --> 00:22:34,020
1091
+ ุฏูˆุฑ ููŠ ุชุณู‡ูŠู„ ุงุฑุชุจุงุท ู„ู€ RNA-polymerase ุนุดุงู† ูŠุตูŠุฑ
1092
+
1093
+ 274
1094
+ 00:22:34,020 --> 00:22:38,520
1095
+ ู„ู†ุง ุงู„ู€ transcriptionู„ู€ Genes ุงู„ู„ูŠ ู‚ู„ู†ุง ุนู„ุงู‚ุฉ ุจุงู„ู€
1096
+
1097
+ 275
1098
+ 00:22:38,520 --> 00:22:42,380
1099
+ Growth ููŠ ุงู„ู€ Apoptosis ูˆููŠ ุงู„ู€ differentiation
1100
+
1101
+ 276
1102
+ 00:22:42,380 --> 00:22:47,620
1103
+ ุฃูŠุถู‹ุง ูŠุนู†ูŠ ู‡ุฐุง ูƒุงู† ู…ุซุงู„ ุนู„ู‰ ุงู„ Transcription
1104
+
1105
+ 277
1106
+ 00:22:47,620 --> 00:22:57,300
1107
+ Factor ุนู†ุฏู†ุง ู…ุซุงู„ ุขุฎุฑ ู„ู€ Steroid Hormone Receptors
1108
+
1109
+ 278
1110
+ 00:22:57,300 --> 00:23:02,060
1111
+ ูˆ ุงู„ู€ Steroid Hormones ุนุจุงุฑุฉ ุนู† Lipid Soluble
1112
+
1113
+ 279
1114
+ 00:23:02,060 --> 00:23:07,180
1115
+ Signaling Molecules ูˆุจุงู„ุชุงู„ูŠู‡ุฐู‡ ุงู„ู‡ุฑู…ูˆู†ุงุช ู„ุง ุชุญุชุงุฌ
1116
+
1117
+ 280
1118
+ 00:23:07,180 --> 00:23:12,660
1119
+ ุฅู„ู‰ receptor ุนู„ู‰ ุณุทุญ ุงู„ุฎู„ูŠุฉ ุชู…ุงู…ุŸ ุงู„ู‡ุฑู…ูˆู†ุงุช ุฒูŠ ุงู„
1120
+
1121
+ 281
1122
+ 00:23:12,660 --> 00:23:16,360
1123
+ protein hormones ุชุญุชุงุฌ ุฅู„ู‰ receptor ุนู„ู‰ ุณุทุญ ุงู„ุฎู„ูŠุฉ
1124
+
1125
+ 282
1126
+ 00:23:16,360 --> 00:23:19,680
1127
+ ุจูŠุฌูŠ ุงู„ hormone ุจุฑุชุจุท ูˆ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ููŠ ุนู†ุฏู†ุง
1128
+
1129
+ 283
1130
+ 00:23:19,680 --> 00:23:24,540
1131
+ signaling ู…ู† ุงู„ receptor ุฅู„ู‰ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ู„ูƒู† ุงู„
1132
+
1133
+ 284
1134
+ 00:23:24,540 --> 00:23:29,300
1135
+ steroid hormone ุทุจุนุงู‚ุงุฏุฑ ุนู„ู‰ ุงู„ู…ุฑูˆุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€
1136
+
1137
+ 285
1138
+ 00:23:29,300 --> 00:23:33,740
1139
+ Cell Membrane ุชู…ุงู…ุŒ ู„ุง ูŠุญุชุงุฌ ุฅู„ู‰ Receptor ูˆุงู„ู€
1140
+
1141
+ 286
1142
+ 00:23:33,740 --> 00:23:37,240
1143
+ Receptor ุฏู‡ ุนู„ู‰ ุงู„ู€ Steroid Hormones ู…ูˆุฌูˆุฏ ููŠ ุฏุงุฎู„
1144
+
1145
+ 287
1146
+ 00:23:37,240 --> 00:23:42,020
1147
+ ุงู„ุฎู„ูŠุฉ The
1148
+
1149
+ 288
1150
+ 00:23:42,020 --> 00:23:46,380
1151
+ superfamily of steroid hormone receptors acts as a
1152
+
1153
+ 289
1154
+ 00:23:46,380 --> 00:23:49,840
1155
+ ligand dependent transcription factor ูŠุนู†ูŠ ู…ุฒุงุฏ
1156
+
1157
+ 290
1158
+ 00:23:49,840 --> 00:23:56,860
1159
+ ู†ุญูƒูŠ ุงุญู†ุง ุนู„ู‰ Receptors ู„ู‡ormonesูˆู‡ุฐุง ุงู„ู€ ุงู„ู€
1160
+
1161
+ 291
1162
+ 00:23:56,860 --> 00:24:00,840
1163
+ receptor ู‡ูˆ ุนุจุงุฑุฉ ุนู† transcription factor ูŠุจู‚ู‰ ู…ู†
1164
+
1165
+ 292
1166
+ 00:24:00,840 --> 00:24:03,360
1167
+ ุถู…ู† ุงู„ domains ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ transcription factor
1168
+
1169
+ 293
1170
+ 00:24:03,360 --> 00:24:06,520
1171
+ ู‡ุฐุง ู„ุงุฒู… ูŠูƒูˆู† ููŠ ุนู†ุฏู†ุง ุฅูŠุดุŸ ููŠ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1172
+
1173
+ 294
1174
+ 00:24:06,520 --> 00:24:10,620
1175
+ ligand binding domain ุงู„ู„ูŠ ู‡ูˆ ุฅู† ุญูŠุฑุชุจุท ุนู†ุฏู†ุง ูˆุฅู†
1176
+
1177
+ 295
1178
+ 00:24:10,620 --> 00:24:15,360
1179
+ ุญูŠุฑุชุจุท ุงู„ .. ุงู„ hormoneูŠุจู‚ู‰ ุงู„ู€ steroid hormones
1180
+
1181
+ 296
1182
+ 00:24:15,360 --> 00:24:19,760
1183
+ ุฒูŠ ู…ุง ู‚ู„ู†ุง ุฃู†ู‡ ุจุชู…ุฑ ุนุจุฑ ุงู„ cell membrane ูˆุจูŠุฑุชุจุทูˆุง
1184
+
1185
+ 297
1186
+ 00:24:19,760 --> 00:24:25,200
1187
+ ุจุงู„ู€ receptor ุงู„ุฎุงุต ููŠู‡ู… ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ upon
1188
+
1189
+ 298
1190
+ 00:24:25,200 --> 00:24:28,700
1191
+ binding the receptors move into the nucleus and
1192
+
1193
+ 299
1194
+ 00:24:28,700 --> 00:24:32,580
1195
+ activate a transcription of their target genes
1196
+
1197
+ 300
1198
+ 00:24:32,950 --> 00:24:37,550
1199
+ Through specific DNA response elements ุชู…ุงู… ูŠุฌุจ
1200
+
1201
+ 301
1202
+ 00:24:37,550 --> 00:24:41,590
1203
+ ููŠู‡ ุฃู†ู‡ ู…ูƒุงู† ูˆูŠู† ู‡ูŠุฑุชุจุท ุฃู† ู‡ุฐุง ุงู„ receptor ุนู† ุทุฑูŠู‚
1204
+
1205
+ 302
1206
+ 00:24:41,590 --> 00:24:48,480
1207
+ ุทุจุนุง ุงู„ DNA binding domainุฃู…ุซู„ุฉ ุนู„ู‰ ุงู„ู€ steroid
1208
+
1209
+ 303
1210
+ 00:24:48,480 --> 00:24:50,740
1211
+ hormonesุŒ ููŠ ุนู†ุฏู†ุง ุงู„ู€ estrogen receptor ูˆ ููŠ
1212
+
1213
+ 304
1214
+ 00:24:50,740 --> 00:24:55,200
1215
+ ุนู†ุฏู†ุง ุงู„ู€ vitamin D receptors ู‡ุฏูˆู„ ุจูŠุดุชุบู„ูˆุง ูƒ
1216
+
1217
+ 305
1218
+ 00:24:55,200 --> 00:24:58,940
1219
+ transcription factors ูˆุจุงู„ุชุงู„ูŠ play an important
1220
+
1221
+ 306
1222
+ 00:24:58,940 --> 00:25:05,100
1223
+ role in many different types of cancer ูˆู‡ุฐุง ุงู„ููŠุฌุฑ
1224
+
1225
+ 307
1226
+ 00:25:05,750 --> 00:25:09,370
1227
+ ุจูŠูˆุถุญ ุฒูŠ ู…ุง ู‡ูˆ ุฃู† ุงู„ู€ steroid hormones ุฏุง ุฒูŠ ุงู„ู€
1228
+
1229
+ 308
1230
+ 00:25:09,370 --> 00:25:13,190
1231
+ glucocorticoid ุจูŠู…ุฑ ุนุจุฑ ุงู„ cell membrane ุชู…ุงู…ุŸ
1232
+
1233
+ 309
1234
+ 00:25:13,190 --> 00:25:15,930
1235
+ ุจุงู„ุชุงู„ูŠ ู„ุง ูŠุญุชุงุฌ ุฅู„ุง receptor ุนู„ู‰ ุงู„ cell membrane
1236
+
1237
+ 310
1238
+ 00:25:15,930 --> 00:25:19,110
1239
+ ู„ุฃ ู‡ูˆ ุจูŠู…ุฑ ู…ู† ุฎู„ุงู„ ุงู„ cell membrane ุจุฑุชุจุท ุนู„ู‰ ุงู„
1240
+
1241
+ 311
1242
+ 00:25:19,110 --> 00:25:23,470
1243
+ receptor ุงู„ุฎุงุต ููŠู‡ ููŠ ุฏุงุฎู„ ุงู„ุฎู„ูŠุฉ ูˆ ุจุนุฏูŠู† ุจู†ุชู‚ู„
1244
+
1245
+ 312
1246
+ 00:25:23,470 --> 00:25:27,950
1247
+ ุฅู„ู‰ ุงู„ nucleus ูˆ ุจุฑุชุจุท ุนู„ู‰ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ู€
1248
+
1249
+ 313
1250
+ 00:25:27,950 --> 00:25:32,030
1251
+ Glucocorticoid Response Element ุทุจุนุง ุนู† ุทุฑูŠู‚ ุงู„ู€
1252
+
1253
+ 314
1254
+ 00:25:32,030 --> 00:25:36,850
1255
+ DNA Binding Domain ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐุง ุงู„ู€ Receptor
1256
+
1257
+ 315
1258
+ 00:25:36,850 --> 00:25:41,940
1259
+ ูˆููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุฃู† ุฃูŠุถุงู…ูˆุฌูˆุฏ ุงู„ู€ dimerization
1260
+
1261
+ 316
1262
+ 00:25:41,940 --> 00:25:44,140
1263
+ domain ู„ุฃู† ุฒูŠ ู…ุง ุงุญู†ุง ุดุงูŠููŠู† ุฃู†ู‡ ููŠู‡ ุงู†ุง two
1264
+
1265
+ 317
1266
+ 00:25:44,140 --> 00:25:48,340
1267
+ receptors ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถ ุทุจุนุง ู…ุน ุงุฑุชุจุงุท
1268
+
1269
+ 318
1270
+ 00:25:48,340 --> 00:25:53,660
1271
+ ุฃูŠุถุง ุงู„ู‡ุฑู…ูˆู† ุนุดุงู† ูŠูƒูˆู†ูˆู„ูŠ ุงู„ transcription factor
1272
+
1273
+ 319
1274
+ 00:25:53,660 --> 00:25:58,060
1275
+ ุงู„ู„ูŠ ู‡ูŠุฑุชุจุท ุนู„ู‰ ุงู„ glucocorticoid response element
1276
+
1277
+ 320
1278
+ 00:25:58,060 --> 00:26:02,100
1279
+ ูˆูŠุตูŠุฑ expression ู„ู„ target genes
1280
+
1281
+ 321
1282
+ 00:26:07,700 --> 00:26:15,460
1283
+ ุทูŠุจ how do we know thatุŸ ุงู„ุขู† ูƒูŠู ู…ู…ูƒู† ู†ุนุฑู ุงุญู†ุง
1284
+
1285
+ 322
1286
+ 00:26:15,460 --> 00:26:22,620
1287
+ ุงุฐุง ูƒุงู† ุงู„ transcription factor ุจูŠุฌูŠ ุจูŠุฑุชุจุท ุนู„ู‰
1288
+
1289
+ 323
1290
+ 00:26:22,620 --> 00:26:29,720
1291
+ promoter ู„ุฌูŠู† ู…ุนูŠู† ู‡ุฐุง ู…ู…ูƒู†ูŠุชู… ุจุฃูƒุซุฑ ู…ู† ุทุฑูŠู‚ุฉ
1292
+
1293
+ 324
1294
+ 00:26:29,720 --> 00:26:33,660
1295
+ ุทุจุนุงู‹ ู…ู† ุฎู„ุงู„ ุงู„ู€ experiments ุจุชุชู… ููŠ ุงู„ู…ุฎุชุจุฑ
1296
+
1297
+ 325
1298
+ 00:26:33,660 --> 00:26:38,040
1299
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ุชูƒู†ูŠูƒ ุงู„ุฃูˆู„ ุจุงุณุชุฎุฏุงู… ุงู„ู€ Gel
1300
+
1301
+ 326
1302
+ 00:26:38,040 --> 00:26:42,340
1303
+ Band Shift Assays ูˆุงู„ู„ูŠ ุฃูŠุถุงู‹ ุชุณู…ู‰ Electrophoretic
1304
+
1305
+ 327
1306
+ 00:26:42,340 --> 00:26:47,800
1307
+ Mobility Shift Assay ูˆู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุจุชุดู…ู„
1308
+
1309
+ 328
1310
+ 00:26:47,800 --> 00:26:51,800
1311
+ ุงู„ู€incubation of ุงู„ุจุฑูˆุชูŠู† ุนุงุฏุฉู‹ ู…ู† ุฏุงุฎู„ ุณู„ ุฃูˆ
1312
+
1313
+ 329
1314
+ 00:26:51,800 --> 00:26:56,650
1315
+ ุฅูƒุชุดุงู ู†ูˆูƒูŠู„ุงุฑwith a labelled DNA fragment
1316
+
1317
+ 330
1318
+ 00:26:56,650 --> 00:27:01,150
1319
+ containing the promoter sequences of interest ุฅุฐุง
1320
+
1321
+ 331
1322
+ 00:27:01,150 --> 00:27:05,370
1323
+ ุจู†ุฌูŠุจ ุงู„ promoter sequence ุฒูŠ ู…ุง ู‚ูˆู„ู†ุง ุงู„ุฎุงุตุฉ ุจูŠ
1324
+
1325
+ 332
1326
+ 00:27:05,370 --> 00:27:11,270
1327
+ ู…ู…ูƒู† ุฌูŠู† ู…ุนูŠู† ูˆู‡ุฏูŠ
1328
+
1329
+ 333
1330
+ 00:27:11,270 --> 00:27:17,070
1331
+ ุงู„ promoter sequence ุชู…ุงู… ุจุชูƒูˆู† labelled
1332
+
1333
+ 334
1334
+ 00:27:20,420 --> 00:27:23,820
1335
+ ูˆุจุนุฏ ู‡ูŠูƒ ุจูŠุตูŠุฑ ููŠ ุนู†ุง separation ุทุจุนุง ูŠุนู†ูŠ ุงูŠู‡ุŸ
1336
+
1337
+ 335
1338
+ 00:27:23,820 --> 00:27:29,040
1339
+ ุจูŠุชู… ูˆุถุน ุงู„ protein ุงู„ู„ูŠ .. ุงู„ู„ูŠ ุงุญู†ุง ุจุฏู†ุง ู†ุดูˆู
1340
+
1341
+ 336
1342
+ 00:27:29,040 --> 00:27:32,960
1343
+ ุฅุฐุง ูƒุงู† ูุนู„ูŠุง ุจุฑุชุจุท ุนู„ู‰ ุงู„ promoter ู‡ุฐุง ูˆู„ุง ู„ุฃ ู…ุน
1344
+
1345
+ 337
1346
+ 00:27:32,960 --> 00:27:40,300
1347
+ ุงู„ promoter ูˆ ุงู„ promoter ู‡ุฐุง labelled ูˆุจุนุฏ ู‡ูŠูƒ ุจ
1348
+
1349
+ 338
1350
+ 00:27:40,300 --> 00:27:44,800
1351
+ .. ุจู†ู…ุดูŠ ู‡ุฐู‡ ุงู„ products ุนู„ู‰ non-denaturing
1352
+
1353
+ 339
1354
+ 00:27:44,800 --> 00:27:49,020
1355
+ polyacrylamide gel ูŠุจู‚ู‰ ุจุฏู†ุง ู†ุนู…ู„ ูุตู„ ู„ู‡ุฐู‡ ุงู„
1356
+
1357
+ 340
1358
+ 00:27:49,020 --> 00:27:53,870
1359
+ productsุงู„ุขู† ุงู„ู€ DNA ุงู„ู„ูŠ ู‚ู…ุช ุจูˆุถุน ุงู„ุจุฑูˆุชูŠู† ุณูŠูƒูˆู†
1360
+
1361
+ 341
1362
+ 00:27:53,870 --> 00:27:59,770
1363
+ ู…ู„ุงุญุธุงู‹ ูƒู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ู‚ู…ุช ุจุชุญุฑูŠูƒู‡ุง ุจุณุฑุนุฉ ูŠุนู†ูŠ ุฅุฐุง
1364
+
1365
+ 342
1366
+ 00:27:59,770 --> 00:28:04,610
1367
+ ูƒุงู† ูุนู„ูŠุงู‹ ู‡ุฐุง ุงู„ู€ transcription factor ุจุฑุชุจุท ุนู„ู‰
1368
+
1369
+ 343
1370
+ 00:28:04,610 --> 00:28:08,870
1371
+ ู‡ุฐุง ุงู„ู€ promoter ุชู…ุงู…ุŒ ูŠุนู†ูŠ ู„ู…ุง ุฎู„ุทู†ุงู‡ู… ู‡ูŠุฌูŠ ูŠุฑุชุจุท
1372
+
1373
+ 344
1374
+ 00:28:08,870 --> 00:28:12,350
1375
+ ุงู„ู€ transcription factor ู…ุน ุงู„ู€ promoter ุงู„ุขู†
1376
+
1377
+ 345
1378
+ 00:28:12,350 --> 00:28:17,530
1379
+ ู…ุงุดูŠู†ุงู‡ู… ุฒูŠ ู…ุง ู‚ู„ู†ุง ุนู„ู‰ ุงู„ู€ gel ุงู„ุขู†ุŒ ู‡ุงู† ู…ุจูŠู† ุนู„ู‰
1380
+
1381
+ 346
1382
+ 00:28:17,530 --> 00:28:21,910
1383
+ ุงู„ู€ gel ููŠ ุญุงู„ ุฃู†ู‡ ู…ุงููŠุด ุนู†ุฏู†ุง ุงู„ุจุฑูˆุชูŠู†ุชู…ุงู…ุŸ ุงู„
1384
+
1385
+ 347
1386
+ 00:28:21,910 --> 00:28:27,890
1387
+ label DNA ู…ุงุดูŠ ุจุดูƒู„ ุณุฑูŠุน ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ DNA ุงู„
1388
+
1389
+ 348
1390
+ 00:28:27,890 --> 00:28:30,750
1391
+ label DNA ุงู„ู„ูŠ ู‡ูˆ ุงู„ promoter sequence ุงู„ู„ูŠ ุญูƒูŠู†ุง
1392
+
1393
+ 349
1394
+ 00:28:30,750 --> 00:28:35,530
1395
+ ุนู„ูŠู‡ุง ู„ูƒู† ู„ู…ุง ุฅุฌูŠู†ุง ุญุทูŠู†ุง ุงู„ .. ุงู„ .. ุงู„
1396
+
1397
+ 350
1398
+ 00:28:35,530 --> 00:28:39,410
1399
+ transcription factor ุชู…ุงู…ุŸ ู„ู…ุง ุงู„ transcription
1400
+
1401
+ 351
1402
+ 00:28:39,410 --> 00:28:44,250
1403
+ factor ุจูŠุฑุชุจุท ู…ุน ุงู„ DNA sequence ู‡ุฐู‡ ุฅูŠุด ู‡ูŠุนู…ู„ุŸ
1404
+
1405
+ 352
1406
+ 00:28:44,250 --> 00:28:50,150
1407
+ ู‡ูŠุจุทุก ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุทุจุนุง ุงู„ migration ู„ ุงู„ DNA
1408
+
1409
+ 353
1410
+ 00:28:51,040 --> 00:28:58,720
1411
+ ุชู…ุงู…ุŸ ู‡ูŠุนู…ู„ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุจุทุก ููŠ ุงู„ migration ูˆู…ุฑูˆุฑ
1412
+
1413
+ 354
1414
+ 00:28:58,720 --> 00:29:01,940
1415
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ุงู„ ุงู„ DNA ุทุจุนุง ุงู„ู…ุฑุชุจุท ููŠู‡ุง ู„ุจุฑูˆุชูŠู† ู…ู†
1416
+
1417
+ 355
1418
+ 00:29:01,940 --> 00:29:06,780
1419
+ ุฎู„ุงู„ ุงู„ gel ุชู…ุงู…ุŸ ูŠุจุฌูŠ ุงู„ DNA that has bound ุงู„
1420
+
1421
+ 356
1422
+ 00:29:06,780 --> 00:29:08,700
1423
+ protein will be observed as a band that has
1424
+
1425
+ 357
1426
+ 00:29:08,700 --> 00:29:14,120
1427
+ migrated more slowly ูŠุจุฌูŠ ุฃุตู„ู‡ุง retardation ุชู…ุงู…ุŸ
1428
+
1429
+ 358
1430
+ 00:29:14,120 --> 00:29:19,380
1431
+ ุทุจุนุง ุจุนูƒุณ ุงู„ DNA ุงู„ู„ูŠ ู…ุด ู…ุฑุชุจุท ู…ุน ุงู„ proteinูŠุจู‚ู‰
1432
+
1433
+ 359
1434
+ 00:29:19,380 --> 00:29:22,300
1435
+ ุฅุฐุง ูƒุงู† ุงู„ transcription factor ุจูŠุฑุชุจุท ู…ุน ุงู„
1436
+
1437
+ 360
1438
+ 00:29:22,300 --> 00:29:27,780
1439
+ protein ูŠุจู‚ู‰ ุญู„ุงุฌูŠ ุฅู†ู‡ ุฅูŠุด ุตุงุฑ ููŠู‡ ุฅู†ู‡ ุฒูŠ ู…ุง ู‚ู„ู†ุง
1440
+
1441
+ 361
1442
+ 00:29:27,780 --> 00:29:33,560
1443
+ retardation ู„ุงู„ู„ูŠ ู‡ูˆ ุงู„ DNA ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ู‡ุงู† ุทุจุนุง
1444
+
1445
+ 362
1446
+ 00:29:33,560 --> 00:29:37,720
1447
+ ู‡ุงู† ุญุงุทูŠู†ู‡ู…ุง concentrations ู…ุฎุชู„ูุฉ ู„ ุงู„
1448
+
1449
+ 363
1450
+ 00:29:37,720 --> 00:29:41,340
1451
+ transcription factor ุฒูŠ ู…ุง ู‡ูˆ ูˆุงุถุญ ุฅู†ู‡ ูƒู„ ู…ุง ุฒุงุฏุช
1452
+
1453
+ 364
1454
+ 00:29:41,340 --> 00:29:46,040
1455
+ ุงู„ concentration ูƒู„ ู…ุง ูƒู…ูŠุฉ ุงู„ DNA ุงู„ู„ูŠ ุตุงุฑ ู„ู‡ุง
1456
+
1457
+ 365
1458
+ 00:29:46,040 --> 00:29:50,810
1459
+ retardation ุตุงุฑุช ุฃูƒุชุฑุชู…ุงู…ุง ุจุฌู‡ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ู…ูƒู† ู…ู†
1460
+
1461
+ 366
1462
+ 00:29:50,810 --> 00:29:55,570
1463
+ ุฎู„ุงู„ู‡ุง ูŠุซุจุชู‡ ุฅู†ู‡ ุงู„ transcription factor ุจูŠุฑุชุจุท
1464
+
1465
+ 367
1466
+ 00:29:55,570 --> 00:30:00,090
1467
+ ุนู„ู‰ promoter ู…ุนูŠู† ููŠ ุฃูŠุถุง ุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ุจูŠุชู…
1468
+
1469
+ 368
1470
+ 00:30:00,090 --> 00:30:05,530
1471
+ ุงุณุชุฎุฏุงู…ู‡ุง ุงู„ู„ูŠ ูŠุชุณู…ู‰ DNA's food printing ูˆู…ู† ุฎู„ุงู„
1472
+
1473
+ 369
1474
+ 00:30:05,530 --> 00:30:08,070
1475
+ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุจูŠุณุชุฎุฏู…ูˆุง ุงู„ DNA's ู„ุฃู† ูƒู†ุชูˆุง ุนุงุฑููŠู† ุงู„
1476
+
1477
+ 370
1478
+ 00:30:08,070 --> 00:30:13,730
1479
+ DNA's ุจูŠุนู…ู„ digestion ู„ู„ DNA ุจูŠุนู…ู„ cleavage ู„ู„ DNA
1480
+
1481
+ 371
1482
+ 00:30:15,090 --> 00:30:20,550
1483
+ ูˆ ู…ู…ูƒู† ูุนู„ูŠุง ู†ุญุตู„ ุนู„ู‰ ุงู„ .. ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„
1484
+
1485
+ 372
1486
+ 00:30:20,550 --> 00:30:24,850
1487
+ leather ุทุจุนุง ู…ู† ุฎู„ุงู„ ุทุจุนุง ู„ุฃู†ู‡ ุจูŠุตูŠุฑ ู„ุฏูŠู†ุง ุชูƒุณูŠุฑ ู„
1488
+
1489
+ 373
1490
+ 00:30:24,850 --> 00:30:28,090
1491
+ ุงู„ DNA ู„ different fragments ูˆุจุงู„ุชุงู„ูŠ ู„ู…ุง ู†ูŠุฌูŠ
1492
+
1493
+ 374
1494
+ 00:30:28,090 --> 00:30:33,730
1495
+ ู†ูุตู„ ู‡ู†ู„ุงู‚ูŠ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ leather ุฃูˆ ุณู…ูŠุฑ ู„ู„ DNA
1496
+
1497
+ 375
1498
+ 00:30:33,730 --> 00:30:39,770
1499
+ ู„ุฃู†ู‡ ุตุงุฑู„ู‡ ุชูƒุณูŠุฑ ูŠุนู†ูŠ ู„ fragments ู…ุฎุชู„ูุฉ ูŠุจู‚ู‰
1500
+
1501
+ 376
1502
+ 00:30:39,770 --> 00:30:45,440
1503
+ ุจู†ุณุชุฎุฏู… DNA's ุฏู‡ ุชูƒู„ูŠู ุงู„ DNAuse to probe a
1504
+
1505
+ 377
1506
+ 00:30:45,440 --> 00:30:50,120
1507
+ promoter region protein bound to a DNA fragment
1508
+
1509
+ 378
1510
+ 00:30:50,120 --> 00:30:53,360
1511
+ will protect the DNA from DNA cleavage ุจุฌุงู†ู‡
1512
+
1513
+ 379
1514
+ 00:30:53,360 --> 00:30:55,800
1515
+ ุงู„ููƒุฑุฉ ุจุฑุถู‡ ุจู†ุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ transcription factor
1516
+
1517
+ 380
1518
+ 00:30:55,800 --> 00:31:00,860
1519
+ ุชู…ุงู… ุงู„ู„ูŠ ุจุฏู‡ ูŠุฑุชุจุท ูˆุญู†ุดูˆู ุฅู†ู‡ ุญูŠุฑุชุจุท ูˆู„ุง ู…ุด
1520
+
1521
+ 381
1522
+ 00:31:00,860 --> 00:31:04,940
1523
+ ุญูŠุฑุชุจุท ุงู„ุขู† ุฅุฐุง ูƒุงู† ูุนู„ูŠู‹ุง ู‡ุฐุง ุงู„ transcription
1524
+
1525
+ 382
1526
+ 00:31:04,940 --> 00:31:10,080
1527
+ factor ุจูŠุฑุชุจุท ู…ุน ู‡ุฐุง ุงู„ุฌุฒุก ู…ู† ุงู„ DNA ุชู…ุงู… ูŠุจู‚ู‰ ู…ุด
1528
+
1529
+ 383
1530
+ 00:31:10,080 --> 00:31:14,940
1531
+ ู‡ูŠุตูŠุฑ ููŠู‡ ุฅู†ู‡digestion ู„ู€ ุงู„ DNA ู„ุฃู† ูˆุฌูˆุฏ ุงู„
1532
+
1533
+ 384
1534
+ 00:31:14,940 --> 00:31:21,240
1535
+ protein ู‡ูŠุญู…ูŠ ุงู„ DNA ู…ุด ู‡ูŠุณู…ุญ ู„ ุงู„ ุงู„ DNA ุจุงุฑุชุจุงุท
1536
+
1537
+ 385
1538
+ 00:31:21,240 --> 00:31:26,800
1539
+ ู…ุน ุงู„ DNA ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ูŠุชู… ุชู‚ููŠุนู‡ุจุนุฏ ุฐู„ูƒ ุงู„ู€DNA
1540
+
1541
+ 386
1542
+ 00:31:26,800 --> 00:31:34,360
1543
+ ูŠุชู… ุชุตู…ูŠู…ู‡ุง ู„ู„ู€DNA ูˆุจุนุฏ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุงู†ุฒู…ุงุชูŠูƒุง ูŠุชู…
1544
+
1545
+ 387
1546
+ 00:31:34,360 --> 00:31:36,540
1547
+ ุงู„ุชุนุงู…ู„ ู…ุนู‡ุง ุจุงุณุชุฎุฏุงู… ุงู„ุฌู„ุฏุŒ ุงู„ุฃู„ูƒุชุฑูˆุŒ ุงู„ููˆุฑูŠุณูŠุง
1548
+
1549
+ 388
1550
+ 00:31:36,540 --> 00:31:41,700
1551
+ ูˆุงู„ุฃูˆุชูˆ ุฑูŠุฏูŠูˆุบุฑุงููŠุง ุงู„ู…ู†ุงุทู‚ ุงู„ุชูŠ ุชู… ุญู…ุงูŠุฉู‡ุง ู…ู†
1552
+
1553
+ 389
1554
+ 00:31:41,700 --> 00:31:47,260
1555
+ ู…ุฌู…ูˆุนุฉ ุงู„ุจุฑูˆุชูŠู† ุณุชู†ุชุฌ ููŠ ู…ู†ุทู‚ุฉ ูˆุงุถุญุฉ ุจู…ุนู†ู‰ ู…ุทุนู…
1556
+
1557
+ 390
1558
+ 00:31:47,260 --> 00:31:50,700
1559
+ ุทุนุงู… ุชู…ุงู…ุŒ
1560
+
1561
+ 391
1562
+ 00:31:50,700 --> 00:31:54,920
1563
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู…ุด ู‡ูŠุตูŠุฑ ููŠู‡ุง ุชู‚ุทูŠุน
1564
+
1565
+ 392
1566
+ 00:31:56,140 --> 00:31:59,760
1567
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู…ุด ู‡ูŠุตูŠุฑ ููŠู‡ุง ุชู‚ุทูŠุน ู…ู…ูƒู† ู‡ูŠ ู‡ุฐู‡
1568
+
1569
+ 393
1570
+ 00:31:59,760 --> 00:32:06,080
1571
+ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ูƒุงู† ู…ุฑุชุจุท ุนู„ูŠู‡ุง ุงู„ู€ Transcription
1572
+
1573
+ 394
1574
+ 00:32:06,080 --> 00:32:07,700
1575
+ Factor
1576
+
PL9fwy3NUQKwaUmLD_cGPEA0xEIq4ckW_0/E3iNrzFDEhU_raw.json ADDED
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