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+ ุจูŠู†ูุน ู…ุซู„ุงู‹ ุจุงู„ู€ notepad ูˆุชู‚ุฏุฑ ุชูƒุชุจ ุจุงู„ู€ notepad ู„ุฃู†ู‡
36
+
37
+ 10
38
+ 00:00:40,410 --> 00:00:46,950
39
+ ุจูŠุฎุฒู† ุงู„ู€ data unformatted it works ู„ูƒู† ุฃุณู‡ู„ูƒ ุจูŠุฌูŠ
40
+
41
+ 11
42
+ 00:00:46,950 --> 00:00:50,550
43
+ VHDL editors ู…ุน ู†ูุณ ุงู„ู€ store ุงู„ู„ูŠ ุฃู†ุช ู‡ุชุนู…ู„ู‡
44
+
45
+ 12
46
+ 00:00:50,550 --> 00:00:55,250
47
+ download ูˆ install ุฃูุถู„ ู„ุฃู† ู…ุฐูŠุชู‡ุง ู‡ู†ุง ุจุชุนู…ู„ ู„ูƒ
48
+
49
+ 13
50
+ 00:00:55,250 --> 00:00:59,750
51
+ coloring ูˆ indentation ู„ู€ syntetical constructs
52
+
53
+ 14
54
+ 00:00:59,750 --> 00:01:04,810
55
+ ุชู„ูˆูŠู† edible face ู‡ุฐุง ุฅูŠุชุงู„ูŠูƒ ู‡ุฐุง ูƒุฐุง ุญุณุจ ู…ุนู†ุงู‡
56
+
57
+ 15
58
+ 00:01:04,810 --> 00:01:09,270
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+ ูˆู…ูƒุงู†ู‡ ูˆุจูŠูƒูˆู† ุงู„ู€ file ุนู„ู‰ ุงู„ู€ screen ุจุธู‡ุฑ ู…ุฑุชุจ ุฃูƒุซุฑ
60
+
61
+ 16
62
+ 00:01:09,270 --> 00:01:14,630
63
+ ูˆ readable ูˆุฅู…ูƒุงู†ูŠุฉ ุงุณุชุฎุฑุงุฌ ุงู„ู€ errors ูˆุงู„ุฃุฎุทุงุก
64
+
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+ 17
66
+ 00:01:14,630 --> 00:01:22,530
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+ ุจูŠูƒูˆู† ุฃุณุฑุน ูˆุฃุณู‡ู„ Okay ูุจุงู„ุชุงู„ูŠ ุชุณุชุฎุฏู… ุงู„ู€ editor
68
+
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+ 18
70
+ 00:01:22,530 --> 00:01:27,710
71
+ ุงู„ู„ูŠ ุฌุงูŠ ู…ุน ุงู„ู€ VHDL software ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู…ูุฑูˆุถ
72
+
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+ 19
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+ 00:01:27,710 --> 00:01:31,990
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+ ู…ุนุฑูˆู ู„ูƒู†
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+
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+ 20
78
+ 00:01:31,990 --> 00:01:35,550
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+ ููŠ ุงู„ูƒุชุงุจ ู‡ู†ุง ุงู„ุจุฑุงู…ุฌ ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ุง ูˆู…ูƒุชูˆุจุฉ ุจุงู„ู€
80
+
81
+ 21
82
+ 00:01:35,550 --> 00:01:43,450
83
+ VHDL ู‡ุชูƒูˆู† ุธุงู‡ุฑุฉ Formatted ุฅู„ูŠูƒ ุชู…ุงู… ู„ูƒูŠ ูŠูƒูˆู† ู…ุนู„ูˆู…
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+
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+ 22
86
+ 00:01:43,450 --> 00:01:47,430
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+ ุนู„ูŠู‡ ุฅู†ู‡ ู…ุฎุฒู†ุฉ ููŠ ุงู„ู€ file Unformated ููŠ ุงู„ู€ file ู…ุฎุฒู†ุฉ
88
+
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+ 23
90
+ 00:01:47,430 --> 00:01:53,230
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+ Unformated ุงู„ู€ keywords ู‡ูˆ ุฃู† ุฃูƒูŠุฏ ููŠ.. ููŠ ุฃูŠ
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+
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+ 24
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+ 00:01:53,230 --> 00:01:58,770
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+ language ููŠู‡ some set of keywords ู‡ุฐู‡ ุงู„ู€ keywords
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+
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+ 25
98
+ 00:01:58,770 --> 00:02:02,890
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+ ู…ุด ู…ุณู…ูˆุญ ุชุณุชุฎุฏู…ู‡ุง ูƒู€ objects ู…ู† ุนู†ุฏูƒ ุฃูˆ identifiers
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+
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+ 26
102
+ 00:02:02,890 --> 00:02:08,350
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+ ุฃูˆ ุงุณู…ู‡ุง variables ุฅูŠู‡ ุงู„ุฃุบุฑุงุถ ูˆู…ุนุงู†ูŠ ุงู„ู…ุญุฏุฏุฉ ุฏู‡ุŸ
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+
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+ 27
106
+ 00:02:08,350 --> 00:02:12,310
107
+ ูˆุจุชุธู‡ุฑ ู„ูƒ ููŠ ุงู„ู€ code ุฅุฐุง ุฃู†ุช ุงุณุชุฎุฏู…ุช VHDL editor
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+
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+ 28
110
+ 00:02:12,310 --> 00:02:18,970
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+ boldfaced ูŠุนู†ูŠ ุจุฎุท ุฅูŠุดุŸ ุจุฎุท ุบุงู…ู‚ ุทุจุนุงู‹ ู„ู…ุง ุชุฑูŠุฏ ุชูƒุชุจ
112
+
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+ 29
114
+ 00:02:18,970 --> 00:02:22,170
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+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ program ุจุงู„ู€ VHDL ู‡ุชู„ุงู‚ูŠู‡ ู…ูƒูˆู† ู…ู†
116
+
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+ 30
118
+ 00:02:22,170 --> 00:02:27,130
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+ statements ูƒู„ statement ุนุจุงุฑุฉ ุนู† construct ุจูŠุนู…ู„
120
+
121
+ 31
122
+ 00:02:27,130 --> 00:02:31,870
123
+ one or more actions ูˆูŠู„ู‡ุง ู…ุนุงู†ูŠ ู…ุญุฏุฏุฉ ุญุณุจ ู†ูˆุน ุงู„ู€
124
+
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+ 32
126
+ 00:02:31,870 --> 00:02:35,990
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+ statement ุงู„ู€ statement ุจุงู„ู€ VHDL ู„ุงุฒู… ุชู†ู‡ูŠู‡ุง ุจู€ semi
128
+
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+ 33
130
+ 00:02:35,990 --> 00:02:42,010
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+ colon ุจู€ semi ุฅูŠู‡ุŸ ุจู€ semi colon ุงุณุชุฎุฏุงู…ูƒ ู„ู„ู€ comments
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+
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+ 34
134
+ 00:02:42,010 --> 00:02:46,790
135
+ ุฃูƒูŠุฏ ุจูŠูˆุถุญ ุฃูˆ ุจูŠุดุฑุญ ุงู„ุจุฑู†ุงู…ุฌ ุจูŠูƒูˆู† ุฃุณู‡ู„ ู„ูƒ ุฅู„ูŠูƒ
136
+
137
+ 35
138
+ 00:02:46,790 --> 00:02:53,490
139
+ ุชุนุฑู ู„ูˆ ูƒุชุจุช code ูˆุฑุฌุนุช ู„ู‡ ุจุนุฏ ูˆู‚ุช ู…ุง ุจุชู†ุณู‰ ุฅูŠุด
140
+
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+ 36
142
+ 00:02:53,490 --> 00:02:57,370
143
+ ุฌุณุชูƒ ุจุงู„ุณุทุฑ ู‡ุฐุง ุฃูˆ ู…ุฌู…ูˆุนุฉ ุงู„ุฃุณุทุฑ ู‡ุฏูˆู„ ููƒุชุงุจุฉ ุงู„ู€
144
+
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+ 37
146
+ 00:02:57,370 --> 00:03:00,790
147
+ comments ูƒุซูŠุฑ ุจูŠุณู‡ู„ูƒ ุนู…ู„ูŠุฉ ุงู„ู€ development ูˆุฃู†ูƒ
148
+
149
+ 38
150
+ 00:03:00,790 --> 00:03:05,390
151
+ ุชุฑุฌุน ู„ู„ุจุฑู†ุงู…ุฌ ุญุชู‰ ุจูŠุณู‡ู„ ุนู„ู‰ ุบูŠุฑูƒ ู„ูˆ ุบูŠุฑูƒ ุนุงูˆุฒ ูŠูู‡ู…
152
+
153
+ 39
154
+ 00:03:05,390 --> 00:03:08,370
155
+ ุงู„ู€ code ุจูŠุนู…ู„ update ุฃูˆ ูƒุฏู‡ ุฃู†ูƒ ุจุชูƒูˆู† ูƒุงุชุจ ุงู„ู€
156
+
157
+ 40
158
+ 00:03:08,370 --> 00:03:14,390
159
+ comments ุจุณู‡ู„ ูƒุซูŠุฑ ุนู„ูŠู‡ ุงู„ู€ comment ุจูŠุจุฏุฃ ู…ู…ูƒู† ููŠ ุฃูŠ
160
+
161
+ 41
162
+ 00:03:14,390 --> 00:03:19,470
163
+ ุณุทุฑ ุชุญุท two hyphens ูˆุฑุง ุจุนุถ ุจุฌูŠู‘ุช ุงู„ุณุทุฑ ุฅู„ู‰ ู†ู‡ุงูŠุชู‡
164
+
165
+ 42
166
+ 00:03:19,470 --> 00:03:24,910
167
+ ูˆุงุนุชุจุฑ ุฅูŠุด comment ูˆู…ู…ูƒู† ุชุญุท ุงู„ูƒู„ู…ุฉ ุฏู‡ ููŠ ุฃูŠ ุณุทุฑ
168
+
169
+ 43
170
+ 00:03:24,910 --> 00:03:28,530
171
+ ูŠุนู†ูŠ ู…ุนู†ุงู‡ ุชุญุท double hyphen hyphen hyphen ูˆุฑุง
172
+
173
+ 44
174
+ 00:03:28,530 --> 00:03:31,710
175
+ ุจุนุถ ู…ู† ุบูŠุฑ ุงู„ู€ space ูˆู„ุง ุฃูŠ ุดูŠุก ุงู„ู€ hyphen ู…ุด ุงู„ู€
176
+
177
+ 45
178
+ 00:03:31,710 --> 00:03:36,770
179
+ underscore ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดุฑุทุฉ ุงู„ุนุงุฏูŠุฉ ุดุฑุทุฉ ุงู„ุนุงุฏูŠุฉ ุจุฌูŠู‘ุช
180
+
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+ 46
182
+ 00:03:36,770 --> 00:03:41,630
183
+ ุงู„ุณุทุฑ ุฅู„ู‰ ู†ู‡ุงูŠุชู‡ ูŠุนุชุจุฑ ุฅูŠุดุŸ ๏ฟฝ๏ฟฝุนุชุจุฑ comment ู…ุงููŠุด ููŠ
184
+
185
+ 47
186
+ 00:03:41,630 --> 00:03:46,450
187
+ ุงู„ู€ VHDL block comment feature ูŠุนู†ูŠ ููŠู‡ ู…ุซู„ุงู‹ ููŠ ุงู„ู€
188
+
189
+ 48
190
+ 00:03:46,450 --> 00:03:50,570
191
+ C ู„ูˆ ุญุทูŠุช ุนู„ุงู…ุฉ ุงู„ู€ slash ูˆูˆุฑุงู‡ุง ู†ุฌู…ุฉ ุชู…ุงู… ูƒู„ ุงู„ู„ูŠ
192
+
193
+ 49
194
+ 00:03:50,570 --> 00:03:52,630
195
+ ุจุชูƒุชุจ ุจุนุฏูŠู† comment ุญุชู‰ ุงู„ู„ูŠ ุฃุฎุฐุชู‡ุง ุณุทุฑ ู„ุบุงูŠุฉ ู…ุง
196
+
197
+ 50
198
+ 00:03:52,630 --> 00:03:56,470
199
+ ูŠุชุณูƒุฑ ุจู†ุฌู…ุฉ ูˆ slash ู…ุด ู…ูˆุฌูˆุฏุฉ ุงู„ู€ feature ู‡ุฐู‡ ุฅูŠุดุŸ
200
+
201
+ 51
202
+ 00:03:56,470 --> 00:04:00,770
203
+ ุจุงู„ู€ VHDL ุงู„ู€ comment ู…ูˆุฌูˆุฏ ููŠู‡ุง per line per ุฅูŠุดุŸ
204
+
205
+ 52
206
+ 00:04:00,770 --> 00:04:07,110
207
+ per line ุงู„ู€ comments ุจุชุธู‡ุฑ ู„ูƒ ุจุงู„ู€ editorItaly-sized
208
+
209
+ 53
210
+ 00:04:07,110 --> 00:04:16,430
211
+ ูŠุนู†ูŠ ุฎุท ุฅูŠุทุงู„ูŠ ู…ุงุฆู„ุฉ ูŠุนู†ูŠ ุฎุท ู…ุงุฆู„ ู…ุฏูŠู„ูƒ
212
+
213
+ 54
214
+ 00:04:16,430 --> 00:04:19,450
215
+ ุจุงู„ู€ figure ุงู„ุชุงู„ูŠ formatted design description ู„ู„ู€
216
+
217
+ 55
218
+ 00:04:19,450 --> 00:04:26,150
219
+ half adder ุทุจุนุงู‹ ู‡ุฐุง code ูƒุงู…ู„ ุญู‚ูŠู‚ุฉ ูŠุนู†ูŠ ุฃู†ุช ู„ุญุฏ
220
+
221
+ 56
222
+ 00:04:26,150 --> 00:04:30,970
223
+ ุงู„ุขู† ู…ุด ู…ุนุฏ ุฃู†ูƒ ุชูู‡ู… ูƒู„ ุชูุงุตูŠู„ ุงู„ู€ code ู„ูƒู† ููŠ
224
+
225
+ 57
226
+ 00:04:30,970 --> 00:04:37,200
227
+ ุงู„ู…ู‚ุฏู…ุฉ ู‡ุฐู‡ ู‡ู†ุดุฑุญ ุดูˆูŠุฉ ุดุบู„ุงุช ูˆุงู„ุจุงู‚ูŠ ููŠ ุญูŠู†ู‡ูŠ ููŠ
228
+
229
+ 58
230
+ 00:04:37,200 --> 00:04:43,180
231
+ ุงู„ุดุจุงุชูŠู‡ ุชุจุนุชู‡ ู‡ู†ู‚ูˆู„ ูƒู„ ุชูุงุตูŠู„ู‡ ุชู…ุงู… ูˆู„ุง ูุฅุฐุง ู„ุฌูŠุช
232
+
233
+ 59
234
+ 00:04:43,180 --> 00:04:47,520
235
+ something ู„ุฃู† ู…ุด ูƒุงู…ู„ ุจุงู„ู†ุณุจุฉ ู„ูƒ ู…ุง ุชู‚ู„ู‚ุด ู„ุฃู†ู‡ ุงุญู†ุง
236
+
237
+ 60
238
+ 00:04:47,520 --> 00:04:52,660
239
+ ุงู„ุญูŠู† ุนุงู…ู„ูŠู† ุฅูŠุด ุจู†ู‚ุฏู… ู‡ุฐุง ุฅูŠุด introduction ุชู‚ุฏูŠู…
240
+
241
+ 61
242
+ 00:04:52,660 --> 00:04:59,240
243
+ ุงุชู„ุงุญุธ
244
+
245
+ 62
246
+ 00:04:59,240 --> 00:05:03,850
247
+ ููŠู‡ ููŠ ุจุฏุงูŠุฉ ุงู„ู€ code ูŠุนู†ูŠ ู‡ุฐุง ุญู‚ ุญุงู„ูŠุงู‹ ุนุจุงุฑุฉ ุนู†
248
+
249
+ 63
250
+ 00:05:03,850 --> 00:05:08,070
251
+ design description ู„ู„ุญูุธ ู‚ุฏุฑ ู‡ุฐู‡ ุจุฏุงูŠุฉ ุงู„ู€ code ู…ู†
252
+
253
+ 64
254
+ 00:05:08,070 --> 00:05:12,710
255
+ ูƒู„ู…ุฉ library ู„ุบุงูŠุฉ ููŠ ุงู„ุขุฎุฑ ุนู†ุฏูƒ in data flow ุงู„ู€
256
+
257
+ 65
258
+ 00:05:12,710 --> 00:05:17,730
259
+ two statements ุงู„ุฃูˆู„ุงู†ูŠูŠู† ุงู„ู€ library IEEE ูˆุงู„ู€ use
260
+
261
+ 66
262
+ 00:05:17,730 --> 00:05:22,730
263
+ clause ู‡ุฏูˆู„ ุจูŠุณู…ูˆู‡ู…
264
+
265
+ 67
266
+ 00:05:22,730 --> 00:05:26,690
267
+ context clause ู…ู‚ูˆุงู†ูŠู† ุฒูŠ ู…ุง ุชุดูˆู ู…ู† ุณุทุฑูŠู†
268
+
269
+ 68
270
+ 00:05:26,690 --> 00:05:29,770
271
+ ุงู„ุฃูˆู„ุงู†ูŠ ุนุจุงุฑุฉ ุนู† library clause ูˆุงู„ุชุงู†ูŠ use
272
+
273
+ 69
274
+ 00:05:29,770 --> 00:05:35,150
275
+ clause ุงู„ู€ library clauses ุจูŠู„ุฒู… ู…ุชู‰ ู…ุฑุงุช ุฃู†ุช ุจุชูƒูˆู†
276
+
277
+ 70
278
+ 00:05:35,150 --> 00:05:41,330
279
+ ู…ุณุชุฎุฏู… ููŠ ุจุฑู†ุงู…ุฌ ุชุจุนูƒ objects ูˆุดุบู„ุงุช ู…ุด ู…ุนุฑูุฉ by
280
+
281
+ 71
282
+ 00:05:41,330 --> 00:05:48,690
283
+ ุงู„ู€ bhdl ู…ุนุฑูุฉ ุจู€ some other libraries ู„ุฐู„ูƒ ุงู„ู€
284
+
285
+ 72
286
+ 00:05:48,690 --> 00:05:51,770
287
+ libraries ู‡ุฏูˆู„ ู„ุงุฒู… ุชูƒูˆู† ุชุนุฑูู‡ู… ูˆุชุญุทู‡ู… ุฅูŠุด ูˆ
288
+
289
+ 73
290
+ 00:05:51,770 --> 00:05:58,010
291
+ ุชุนุฑูู‡ู… ููŠ ุจุฏุงูŠุฉ ุงู„ู€ description ุจู€ library clauses
292
+
293
+ 74
294
+ 00:06:01,530 --> 00:06:05,670
295
+ ุฃูˆูƒูŠ ู…ุงุดูŠ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ููŠ ุงู„ู€ half adder ู‡ุฐุง ู‡ุชู„ุงู‚ูŠ
296
+
297
+ 75
298
+ 00:06:05,670 --> 00:06:11,510
299
+ ู‡ู†ุง ู…ุณุชุฎุฏู… data type ุงุณู…ู‡
300
+
301
+ 76
302
+ 00:06:11,510 --> 00:06:18,970
303
+ standard logic ู‡ุฐุง ู…ุด ู…ุนุฑู ุจุงู„ู€ bridge ุงู„ ู†ูุณู‡ ููŠ
304
+
305
+ 77
306
+ 00:06:18,970 --> 00:06:22,970
307
+ ุงู„ู€ compiler ูˆุงู„ู€ library ุชุจุนุชู‡ ููŠ ุงู„ู€ compiler ู…ุนุฑู
308
+
309
+ 78
310
+ 00:06:22,970 --> 00:06:26,070
311
+ ููŠ ุงู„ู€ library ุงู„ู„ูŠ ู‡ูŠุด ุงู„ู„ูŠ ู‡ูˆ ุฏูŠ ุงู„ู€ data type
312
+
313
+ 79
314
+ 00:06:26,070 --> 00:06:32,860
315
+ ุงู„ู„ูŠ ู‡ูˆ ุฏูŠ standard logic ู…ุนุฑู ู‡ู†ุง ู„ุฐู„ูƒ ู†ุญุชุงุฌ ุฃู†
316
+
317
+ 80
318
+ 00:06:32,860 --> 00:06:36,620
319
+ ู†ุฐูƒุฑ ุฃูˆ ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุงุฎุชุตุงุฑ ู†ู‚ูˆู„ library space
320
+
321
+ 81
322
+ 00:06:36,620 --> 00:06:40,300
323
+ itably ุงุณู… ุงู„ู€ library ุงู„ู„ูŠ ู…ุนุฑู ููŠู‡ุง ุงู„ู€ data type
324
+
325
+ 82
326
+ 00:06:40,300 --> 00:06:43,160
327
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุฒูŠ ู„ู…ุง ูƒู†ุช ุจุชู‚ูˆู„ ููŠ ุงู„ุจุฑุฌ ุนุงุฏูŠ include
328
+
329
+ 83
330
+ 00:06:43,160 --> 00:06:49,340
331
+ ูƒุฐุง ู…ุซู„ุงู‹ ู†ูุณ ุงู„ุงุดูŠ ุจุณ ู‡ู†ุง ุชูƒุชุจ ูƒู„ู…ุฉ library ูˆุงุณู…
332
+
333
+ 84
334
+ 00:06:49,340 --> 00:06:51,740
335
+ ุงู„ู€ library ุงู„ู„ูŠ ุฃู†ุช ุนุงูŠุฒ ุจุฏูƒ ุชุณุชุฎุฏู…ู‡ุง
336
+
337
+ 85
338
+ 00:06:59,640 --> 00:07:04,080
339
+ ูˆูƒู…ุงู† ุงู„ู€ library ู†ูุณู‡ุง ู‡ุชู„ุงู‚ูŠ ู…ูƒูˆู†ุฉ ู…ู† packages ู…ู†
340
+
341
+ 86
342
+ 00:07:04,080 --> 00:07:09,360
343
+ ุฅูŠุดุŸ ู…ู† packages you have to specify which
344
+
345
+ 87
346
+ 00:07:09,360 --> 00:07:15,480
347
+ packages ุจุฏูƒูŠู‡ุง ุจุงู„ุชุญุฏูŠุฏ ุงู„ู€ data type ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง
348
+
349
+ 88
350
+ 00:07:15,480 --> 00:07:20,100
351
+ ุงู„ู€ standard logic ู…ุนุฑู ููŠ ุงู„ู€ package ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ
352
+
353
+ 89
354
+ 00:07:20,100 --> 00:07:21,500
355
+ ู…ูˆุฌูˆุฏุฉ ุฅูŠุด ููŠ ุงู„ู€ library ู‡ุฐู‡
356
+
357
+ 90
358
+ 00:07:28,400 --> 00:07:31,760
359
+ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนุงูŠุด ููŠ ุงู„ู„ุนุจุฉ ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ู„ุฐู„ูƒ ุชู„ุงุญุธ
360
+
361
+ 91
362
+ 00:07:31,760 --> 00:07:38,140
363
+ ุงู„ุณุทุฑ ุงู„ู„ูŠ ูˆุฑุงู‡ุง ุนุจุงุฑุฉ ุนู† close ุจูŠุณู…ูˆู‡ุง use close
364
+
365
+ 92
366
+ 00:07:38,140 --> 00:07:42,720
367
+ ุชู„ุงุญุธ ูƒุชุจ use ู‡ุฐุง ุงุณู… ุงู„ู„ุนุจุฉ ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ูˆุงุณู… ุงู„ู€
368
+
369
+ 93
370
+ 00:07:42,720 --> 00:07:47,760
371
+ package ุงู„ู„ูŠ ุฃู†ุง ุนุงูˆุฒู‡ุง ุทุจ ุงู„ู€ package ุงู„ู„ูŠ ูˆุงุญุฏ
372
+
373
+ 94
374
+ 00:07:47,760 --> 00:07:50,520
375
+ ู‡ุชู„ุงู‚ูŠ ู…ุนุฑู ููŠู‡ุง ุดุบู„ุงุช ูƒุซูŠุฑ ู…ุนุฑู ููŠู‡ุง
376
+
377
+ 95
378
+ 00:07:54,520 --> 00:07:58,720
379
+ Various data types ู…ุนุฑู ููŠู‡ุง constants ู…ุนุฑู ููŠู‡ุง
380
+
381
+ 96
382
+ 00:07:58,720 --> 00:08:03,560
383
+ sub programs ุฒูŠ functions ุฒูŠ procedures ู‡ู„ ุฃู†ุช ุจุฏูƒ
384
+
385
+ 97
386
+ 00:08:03,560 --> 00:08:05,780
387
+ .. ุจุฏูƒ ูŠุนู†ูŠ ูƒู„ู‡ู… ูŠู‚ูˆู„ ู„ูˆ ุจุฏูƒ something usually
388
+
389
+ 98
390
+ 00:08:05,780 --> 00:08:08,960
391
+ ุจู†ูƒุชุจ dot all ูŠุนู†ูŠ ุฅูŠุด ุฎู„ูŠู‡ุง available ูƒู„ู‡ุง ุฅู„ูŠูƒ ูˆ
392
+
393
+ 99
394
+ 00:08:08,960 --> 00:08:12,260
395
+ ุทุจุน ุงู„ู€ compiler ู‡ูŠุฎุชุงุฑ ู‡ูŠุงุฎุฏ ุงู„ุญุงุฌุงุช ุงู„ู„ูŠ ุจุชุงุนุชูŠ
396
+
397
+ 100
398
+ 00:08:12,260 --> 00:08:16,480
399
+ ู‡ูŠุณุชุฎุฏู… ุงู„ุญุงุฌุงุช ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠ ู…ุณุชุฎุฏู…ุฉ ููŠ ุงู„ู€ code
400
+
401
+ 101
402
+ 00:08:29,700 --> 00:08:34,060
403
+ ุฃุจุณุท ุฃู†ูˆุงุน ุงู„ู€.. ุงู„ู€.. ุงู„ู€ bhdl design descriptions
404
+
405
+ 102
406
+ 00:08:34,060 --> 00:08:39,820
407
+ ู‡ุชู„ุงู‚ูŠ ู…ูƒูˆู† ู…ู† single design entity ูˆุงุญุฏุฉ design
408
+
409
+ 103
410
+ 00:08:39,820 --> 00:08:43,760
411
+ .. design ุฅูŠุด entity ุงู„ู€ design entity ู…ู…ูƒู† ุชู…ุซู„ ู„ูƒ
412
+
413
+ 104
414
+ 00:08:43,760 --> 00:08:48,160
415
+ ูƒู„ ุงู„ู€ design ูƒู„ ุงู„ู€ system ุฃูˆ ุฌุฒุก ู…ู† ุงู„ู€ system ู„ูƒู†
416
+
417
+ 105
418
+ 00:08:48,160 --> 00:08:51,320
419
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู…ู„ูŠุฉ ู„ู…ุง ุงู„ู€ system ูŠูƒูˆู† ูƒุจูŠุฑ ุจุชู„ุงู‚ูŠ
420
+
421
+ 106
422
+ 00:08:51,320 --> 00:08:56,150
423
+ ู…ูƒูˆู† ู…ู† ุฅูŠุด ู…ู† ูƒุฏู‡ design entity ู„ูƒู† ููŠ ุงู„ู…ุซุงู„
424
+
425
+ 107
426
+ 00:08:56,150 --> 00:09:00,290
427
+ ุชุจุนู†ุง ุงู„ู„ูŠ ู‡ูˆ love other ู…ุด ู…ุณุชุงู‡ู„ just one design
428
+
429
+ 108
430
+ 00:09:00,290 --> 00:09:05,250
431
+ ุฅูŠุด design entity ุงู„ู€ design entity ุงู„ูˆุงุญุฏุฉ ุนุจุงุฑุฉ
432
+
433
+ 109
434
+ 00:09:05,250 --> 00:09:08,170
435
+ ุนู† well-defined ุฅู„ู‡ุง ุฅู„ู‡ุง well-defined inputs and
436
+
437
+ 110
438
+ 00:09:08,170 --> 00:09:13,130
439
+ outputs ูˆุจุชุนู…ู„ well-defined function ูŠุนู†ูŠ ุฅู„ู‡ุง
440
+
441
+ 111
442
+ 00:09:13,130 --> 00:09:17,870
443
+ inputs ู…ุญุฏุฏูŠู† ูˆู…ุนุฑูˆููŠู† ูˆ outputs ุจูŠูƒูˆู†ูˆุง ู…ุนุฑูˆููŠู†
444
+
445
+ 112
446
+ 00:09:17,870 --> 00:09:22,010
447
+ well-defined ูˆุจุชุนู…ู„ ุทุจุนุงู‹ ุฃูƒูŠุฏ function ุฅูŠุด ู…ุญุฏุฏุฉ
448
+
449
+ 113
450
+ 00:09:24,250 --> 00:09:29,030
451
+ design entity ู‡ุชู„ุงู‚ูŠู‡ุง ุจุชุชูƒูˆู† ู…ู† two parts entity
452
+
453
+ 114
454
+ 00:09:29,030 --> 00:09:35,390
455
+ .. entity declaration ูˆ architecture body ู…ู…ูƒู†
456
+
457
+ 115
458
+ 00:09:35,390 --> 00:09:40,830
459
+ ุชุญุทู‡ ููŠ ู†ูุณ ุงู„ู€ file ูˆููŠ ุงู„ุนุงุฏุฉ ุจู†ุนู…ู„ ูƒุฏู‡ ุชู…ุงู… ูˆ
460
+
461
+ 116
462
+ 00:09:40,830 --> 00:09:46,250
463
+ ู…ู…ูƒู† ุชุญุทู‡ ููŠ separate files ุจูŠู†ูุน ุชู…ุงู… ู…ู…ูƒู† ุชุญุทู‡ู…
464
+
465
+ 117
466
+ 00:09:46,250 --> 00:09:50,560
467
+ ููŠ ู†ูุณ ุงู„ู€ file ุฃูˆ ููŠ separate files ููŠ ุงู„ู€ code ุงู„ู„ูŠ
468
+
469
+ 118
470
+ 00:09:50,560 --> 00:09:58,060
471
+ ูƒุงุชุจู†ูŠ ู‡ู†ุง ู‡ุญุทู‡ ููŠ single file ู†ูุณ ุงู„ู€ file ุงู„ู€ part
472
+
473
+ 119
474
+ 00:09:58,060 --> 00:10:01,880
475
+ ู…ู† ู‡ู†ุง ู„ู‡ู†ุง ู‡ูˆ ุงู„ู€ entity declaration ุงู„ู€ part ุงู„ู„ูŠ
476
+
477
+ 120
478
+ 00:10:01,880 --> 00:10:05,480
479
+ ู…ู† ู‡ู†ุง ู„ู‡ู†ุง ู‡ูˆ ุงู„ู€ architecture declaration ู…ู† ู‡ู†ุง
480
+
481
+ 121
482
+ 00:10:05,480 --> 00:10:09,700
483
+ ู„ู‡ู†ุง ู…ู…ูƒู† ุชุญุทู‡ ููŠ one file ูˆู…ู† ู‡ู†ุง ู„ู‡ู†ุง ููŠ
484
+
485
+ 122
486
+ 00:10:09,700 --> 00:10:13,780
487
+ another file ูˆู…ู…ูƒู† ุชุญุทู‡ ููŠ ู†ูุณ ุงู„ู€ file ู†ูุณ ุงู„ู€
488
+
489
+ 123
490
+ 00:10:13,780 --> 00:10:16,720
491
+ file ู„ูƒู† usually ู„ู…ุง ุชูƒูˆู† ุงู„ู€ designs ุณู‡ู„ุฉ ู…ุด
492
+
493
+ 124
494
+ 00:10:16,720 --> 00:10:28,020
495
+ ู…ุญุชุงุฌุฉ ู†ุญุทู‡ู… ููŠ ู†ูุณ ุงู„ู†ูุณ ุงู„ู€ file ุงู„ู€
496
+
497
+ 125
498
+ 00:10:28,020 --> 00:10:30,500
499
+ entity declaration ูƒูŠู ุชุนู…ู„ ุงู„ู€ entity declaration
500
+
501
+ 126
502
+ 00:10:30,500 --> 00:10:37,700
503
+ ุจูŠุฏูŠ ู„ู„ู€ design entity ุงุณู… ูˆุจูŠูˆุตู ุงู„ู€ interface ุฅูŠุด
504
+
505
+ 127
506
+ 00:10:37,700 --> 00:10:40,300
507
+ ููŠู‡ุง ุงู„ู€ input ูˆุงู„ู€ output ุชุจุน ุงู„ู€ entity ุชุจุน ุงู„ู€
508
+
509
+ 128
510
+ 00:10:40,300 --> 00:10:40,660
511
+ design
512
+
513
+ 129
514
+ 00:10:44,610 --> 00:10:48,970
515
+ ุจูŠุญุฏุฏ ุฃูˆ ุจุชุญุฏุฏ ุฅูŠุด ู‡ูŠ ุงู„ู€ input ูˆุฅูŠุด ู‡ูŠ ุงู„ู€ output
516
+
517
+ 130
518
+ 00:10:48,970 --> 00:10:54,210
519
+ ุงู„ู€ interface ู…ุด ุณุงู…ุนุงุด ุงู„ู€ interface
520
+
521
+ 131
522
+ 00:10:54,210 --> 00:11:00,090
523
+ ูˆุจุงู„ุชุงู„ูŠ ู„ูˆ ุฃู†ุช ู‚ุงุฑู†ุช ุงู„ู€ entity ู‡ุฐู‡ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุจุงู„ู€
524
+
525
+ 132
526
+ 00:11:00,090 --> 00:11:04,690
527
+ figure ุจุงู„ู€ figure ุงู„ู„ูŠ ุดูู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุนุฉ ุชุจุนูŠ
528
+
529
+ 133
530
+ 00:11:04,690 --> 00:11:10,230
531
+ ู„ู‡ุง ููŠ ู‚ุฏุฑ ุชููƒูŠุฑ ู„ู‡ ุชู„ุงุญุธ ูุนู„ุงู‹ ูƒุชุจ entity ุดูˆู ูƒูŠู
532
+
533
+ 134
534
+ 00:11:10,230 --> 00:11:13,170
535
+ ุชู†ูƒุชุจ ููŠ ุงู„ุฃูˆู„ ุชูƒุชุจ ูƒู„ู…ุฉ entity ูˆุงุถุญ ุฃู† ู‡ุฐู‡ entity
536
+
537
+ 135
538
+ 00:11:13,170 --> 00:11:17,870
539
+ ุนุจุงุฑุฉ ุนู† keyword ุตุญ ูˆู„ุง ู„ุฃู†ู‡ุง ู…ุนู…ูˆู„ุฉ boldface ูˆ
540
+
541
+ 136
542
+ 00:11:17,870 --> 00:11:22,890
543
+ ุจุนุฏูŠู† space ูˆุจุนุฏูŠู† ุจุชุฏูŠู‡ุง ุงุณู… ู…ู† ุนู†ุฏูƒ unique ุทุจุนุงู‹
544
+
545
+ 137
546
+ 00:11:22,890 --> 00:11:25,230
547
+ ุงู„ุงุณู… ููŠ ุงู„ุนุงุฏุฉ ุจูŠูƒูˆู† ู…ูƒูˆู† ู…ู† alpha bits ูˆุฃุฑู‚ุงู…
548
+
549
+ 138
550
+ 00:11:25,230 --> 00:11:30,070
551
+ ูˆ underscore ูˆุดุบู„ุงุช ู„ูƒู† ุทุจุนุงู‹ ูŠูƒูˆู† ุงู„ุงุณู… ู…ุง ู‡ูˆ
552
+
553
+ 139
554
+ 00:11:30,070 --> 00:11:37,310
555
+ keyword ุชู…ุงู… ูˆู„ุง ุจุนุฏูŠ๏ฟฝ๏ฟฝ ุงู„ู€ space is ุชู„ุงุญุธ ุจุนุฏูŠู‡ุง ูƒุชุจ
556
+
557
+ 140
558
+ 00:11:37,310 --> 00:11:43,810
559
+ ูƒู„ู…ุฉ port ุงู„ู€ inputs ูˆุงู„ู€ outputs ููŠ ุงู„ู€ system ุจุงู„ู€
560
+
561
+ 141
562
+ 00:11:43,810 --> 00:11:52,610
563
+ VHDL ุจูŠู‚ูˆู„ูˆุง ุนู„ูŠู‡ู… parts ุจูŠุณู…ูˆู‡ ู…ุงุดูŠ parts ุฐู„ูƒ
564
+
565
+ 142
566
+ 00:11:52,610 --> 00:11:56,770
567
+ ุนุดุงู† ู†ุชุนุฑู ุนู„ู‰ ุงู„ input ูˆ ุงู„ output ุจุชูƒุชุจ ูƒู„ู…ุฉ port
568
+
569
+ 143
570
+ 00:11:56,770 --> 00:12:01,510
571
+ ูุจุชูุชุญ ุงู„ู„ูŠ ู‡ูˆ entity ูˆ ุจุชูƒุชุจ ุงู„ู„ูŠ ู‡ูˆ ู‚ูˆู„ู†ุง a ูˆ b
572
+
573
+ 144
574
+ 00:12:01,510 --> 00:12:08,240
575
+ ู‡ุฏูˆู„ ุงู„ inputs ูˆุจุนุฏูŠู† ูƒูˆู„ูˆู† ู†ู‚ุทุชูŠู† ุงูŠุด ู†ูˆุนู‡ู… input
576
+
577
+ 145
578
+ 00:12:08,240 --> 00:12:11,940
579
+ ูˆู„ุง output ูƒุงู„ mode ููŠ in ูˆ ููŠ out ูˆ ููŠ inout ูˆ
580
+
581
+ 146
582
+ 00:12:11,940 --> 00:12:16,160
583
+ ููŠ ุดุบู„ุงุช ูƒุชูŠุฑ ู‡ู†ูุตู„ ููŠู‡ุง later ู„ูƒู† our simple example
584
+
585
+ 147
586
+ 00:12:16,160 --> 00:12:20,300
587
+ ุจุงู„ุฃุดู†ูˆุน ู‡ู… ุจุงู„ุชุญุฏูŠุฏ input ุชูƒุชุจ in ูŠุนู†ูŠ ู‡ุฏูˆู„ input
588
+
589
+ 148
590
+ 00:12:20,300 --> 00:12:23,740
591
+ ุทูŠุจ input ู…ุงุดูŠ ู„ูƒู† ูƒุฏู‡ ุชุชุนุฑู ุงูŠุด ู†ูˆุนู‡ู… ููŠ ุงู†ูˆุงุน
592
+
593
+ 149
594
+ 00:12:23,740 --> 00:12:27,980
595
+ ุนุฏูŠุฏุฉ ุญุงู„ูŠุง ูƒุงุชุจ ู‡ูˆ ุนุงูŠุด standard logic standard
596
+
597
+ 150
598
+ 00:12:27,980 --> 00:12:30,880
599
+ logic ู‡ูŠุชูƒู„ู… ุนู„ูŠู‡ ูƒู…ุงู† ุดูˆูŠุฉ standard logic
600
+
601
+ 151
602
+ 00:12:30,880 --> 00:12:34,460
603
+ logic ุฅุฐุง ู‡ุฐุง ุงู„ mode ู‡ู„ ู‡ูŠ input ูˆู„ุง output ูˆู„ุง
604
+
605
+ 152
606
+ 00:12:34,460 --> 00:12:38,580
607
+ ุงูŠุด ุชุงู†ูŠ in our example they are input ูˆ ุจุนุฏู‡ุง ุฏู‡
608
+
609
+ 153
610
+ 00:12:38,580 --> 00:12:41,380
611
+ ุงู„ data type ุชุจุน ุงู„ A ูˆ ุงู„ B ูุงุฑู‚ ุจูŠู† ุงู„ mode ูˆ
612
+
613
+ 154
614
+ 00:12:41,380 --> 00:12:45,220
615
+ ุจูŠู† ุงูŠุด ูˆ ุจูŠู† ุงูŠุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ data type semicolon
616
+
617
+ 155
618
+ 00:12:45,220 --> 00:12:49,080
619
+ ูƒุงู† ู…ู…ูƒู† ุชูƒุชุจ ุงู„ A ู„ุญุงู„ ูˆ ุงู„ B ู„ุญุงู„ ุชู‚ูˆู„ ุงู„ A
620
+
621
+ 156
622
+ 00:12:49,080 --> 00:12:53,180
623
+ ูƒูˆู„ูˆู† in std_logic semicolon ูˆ ุงู„ B in std_logic
624
+
625
+ 157
626
+ 00:12:53,180 --> 00:12:57,720
627
+ semicolon ุจู†ูุน ู„ูƒู† ุจุงู„ู†ุณุจุฉ ู…ุด ูŠุนู†ูŠ ู…ุฑุงุช ูŠุนู†ูŠ ู…ู…ูƒู†
628
+
629
+ 158
630
+ 00:12:57,720 --> 00:13:01,080
631
+ ุชุฏู…ุฌ ุงู„ุงุซู†ูŠู† ุงูˆ ูƒุฏู‡ ุงูŠุด ู…ุน ุจุนุถู‡ ุฅุฐุง ุงู„ุงุดูŠ ู…ุด ู…ุญุชุงุฌ
632
+
633
+ 159
634
+ 00:13:01,080 --> 00:13:06,350
635
+ ูŠุนู†ูŠ ุจุนุฏูŠู† ุนู†ุฏูƒ ูู‰ port port ุงู„ู„ูŠ ู‡ูˆ ุงู„ sum ูˆ ุงู„
636
+
637
+ 160
638
+ 00:13:06,350 --> 00:13:11,410
639
+ carry sum, carry, colon ุงูŠุด ุงู„ mode ุชุจุนู‡ู… ู‡ุฏูˆู„ ูู‰
640
+
641
+ 161
642
+ 00:13:11,410 --> 00:13:16,330
643
+ ุงู„ู…ุซุงู„ ุชุจุนู†ุง output ูุจุชูƒุชุจ ูƒู„ู…ุฉ out out ูŠุนู†ูŠ
644
+
645
+ 162
646
+ 00:13:16,330 --> 00:13:20,290
647
+ output ุชู…ุงู… ู„ุฅู†ู‡ ูู‰ ุงู„ design ุนุจุงุฑุฉ ุนู† ุงูŠู‡ output
648
+
649
+ 163
650
+ 00:13:20,290 --> 00:13:27,330
651
+ ูˆ ุจุนุฏูŠู† space ูˆ data type they are also standard
652
+
653
+ 164
654
+ 00:13:27,330 --> 00:13:32,960
655
+ logic ุจุฑุถู‡ ุจุฑุถู‡ ู‡ุฏูˆู„ ุฅุฐุง ุฎู„ุตุช ุฎู„ุงุต ุจุชูƒุชุจ ุงู„ู€ port
656
+
657
+ 165
658
+ 00:13:32,960 --> 00:13:38,880
659
+ statement ูˆ ุจุชู†ู‡ูŠู‡ุง ูŠุงุดูŠ ุจุงุณู… ุงู„ู€ colon end ุฅุฐุง ุงู„
660
+
661
+ 166
662
+ 00:13:38,880 --> 00:13:41,240
663
+ entity ุฎู„ุตุช ุชูƒุชุจ end ุฎู„ู‘ูŠ ุจุงู„ูƒ ุฅุฐุง ู…ุง ู‡ู†ุดูˆู ุจุนุฏ
664
+
665
+ 167
666
+ 00:13:41,240 --> 00:13:43,960
667
+ ูƒุฏู‡ ุจู†ูƒุชุจ ููŠ ุงู„ entity ุดุบู„ุงุช ุชุงู†ูŠุฉ ุจุฑุถู‡ ู…ู…ูƒู†
668
+
669
+ 168
670
+ 00:13:43,960 --> 00:13:47,180
671
+ ุชุดูˆูู‡ุง ุจุนุฏูŠู† ู„ูƒ ููŠ ุงู„ moment ุฎู„ู‘ูŠู†ุง ู†ู‚ูˆู„ ุงุณู… ุงู„
672
+
673
+ 169
674
+ 00:13:47,180 --> 00:13:53,080
675
+ entity ูู‚ุท ุงู„ input ูˆ ุงู„ output ุชู†ู‡ูŠู‡ุง ุจ end ุชู…ุงู…
676
+
677
+ 170
678
+ 00:13:53,080 --> 00:13:56,520
679
+ ูˆ ุจุนุฏูŠู† ูุฑุงุบ ูˆ ุจู†ูุณ ุงุณู… ุงู„ entity ุงู„ู„ูŠ ุงู†ุช ุณู…ูŠุชู‡
680
+
681
+ 171
682
+ 00:13:57,710 --> 00:13:59,970
683
+ ู…ุนู†ุงุชู‡ ุงู† ุงู„ declaration ู…ุญุตูˆุฑ ู…ู†ู‡ุง ุฅู„ู‰ ู‡ู†ุง
684
+
685
+ 172
686
+ 00:14:39,370 --> 00:14:43,630
687
+ ุงู„ data type ุจูŠุญุฏุฏ ุฒูŠ ู…ุง ุชุนุฑููŠู† ููŠ ุงูŠ language ุงูŠุด
688
+
689
+ 173
690
+ 00:14:43,630 --> 00:14:47,130
691
+ ุงู„ู‚ูŠู… ุงู„ู„ู‰ ู…ู…ูƒู† ูŠุงุฎุฏู‡ุง ุงู„ variable ุงูˆ ููŠ ุญุงู„ุชู†ุง ุงู„
692
+
693
+ 174
694
+ 00:14:47,130 --> 00:14:51,850
695
+ signal ุชู…ุงู… ูŠุง ุงู„ input ู‡ุฏุง ู‡ุชู…ุดูŠ ุนู„ูŠู‡ signal ุทูŠุจ
696
+
697
+ 175
698
+ 00:14:51,850 --> 00:14:54,790
699
+ ุงูŠุด ุงู†ูˆุงุน ุงู„ู‚ูŠู… ุงูˆ ุงู„ู‚ูŠู… ุงู„ู„ู‰ ู…ู…ูƒู† ุชุงุฎุฏู‡ุง ุงู„
700
+
701
+ 176
702
+ 00:14:54,790 --> 00:14:58,970
703
+ signal ู‡ุฏุง ู‡ูˆ ุงู„ู„ู‰ ุจูŠุญุฏุฏู‡ ู…ูŠู† ุงู„ data type ุฒูŠ ู…ุง
704
+
705
+ 177
706
+ 00:14:58,970 --> 00:15:02,130
707
+ ุงู‚ูˆู„ูƒ ุงู†ุชุฌุฑ ู…ุซู„ุง ููŠ ุงู„ Java ุงูˆ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ C
708
+
709
+ 178
710
+ 00:15:02,130 --> 00:15:06,830
711
+ ูƒู…ุงู† ุงูˆ ููŠ ุงู„ VHDL ุงู†ุชุฌุฑ ู…ุนู†ุงุชู‡ ู‡ูŠุฃุฎุฐ ุงู„ู‚ูŠู… ู…ู† ุงู„
712
+
713
+ 179
714
+ 00:15:06,830 --> 00:15:10,190
715
+ integer ุงู„ู„ูŠ ุชุนุฑูู‡ุง ุงู„ุณุงู„ุจ ูˆุงู„ู…ูˆุฌุจ ูˆุงู„ุฒูŠุฑูˆ ู…ุด ู‡ูŠูƒ
716
+
717
+ 180
718
+ 00:15:10,190 --> 00:15:14,430
719
+ ุงู„ุฃุฑู‚ุงู… ุงู„ุตุญูŠุญุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ numbers ูˆู…ู† data type
720
+
721
+ 181
722
+ 00:15:14,430 --> 00:15:17,650
723
+ ุจุฑุถู‡ ุงู†ุช ุนู…ู„ูƒ ุจุชุญุฑู ุงูˆ ุจุชุญุฏุฏ ุงูŠุด ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ
724
+
725
+ 182
726
+ 00:15:17,650 --> 00:15:21,310
727
+ ุจุชู†ุนู…ู„ ุนู„ู‰ ุงู„ integer ุตุญ ูˆู„ุง ุงู„ุฌู…ุน ูˆุงู„ุทุฑุญ ูˆุงู„ู‚ุณู…ุฉ
728
+
729
+ 183
730
+ 00:15:21,310 --> 00:15:26,030
731
+ ูˆุงู„ุถุฑุจ ุงู„ุนู…ู„ูŠุงุช ุงู„ู…ุนุฑูˆูุฉ ู…ุนู†ุงุชู‡ ุงู„ data type ุจูŠุญุฏุฏ
732
+
733
+ 184
734
+ 00:15:26,030 --> 00:15:30,070
735
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ู…ู…ูƒู† ุชุงุฎุฏู‡ุง signal ูˆุงู„ุนู…ู„ูŠุงุช ุงู„
736
+
737
+ 185
738
+ 00:15:30,070 --> 00:15:33,170
739
+ operations ุงู„ู„ูŠ ู…ู…ูƒู† ุชุชุนู…ู„ ุนู„ูŠ ู…ูŠู† ุนู„ู‰ signal ุงู„ู„ูŠ ู‡ูˆ
740
+
741
+ 186
742
+ 00:15:33,170 --> 00:15:37,570
743
+ ุงู„ values ุงู„ู„ูŠ ู‡ูˆ ู‡ุฏูˆู„ In our example ู‚ูˆู„ู†ุง data
744
+
745
+ 187
746
+ 00:15:37,570 --> 00:15:40,530
747
+ ุชุจุน ุงู„ input ูˆุงู„ output ุงูŠุด ูƒุงู† ุนู†ุฏู†ุง standard
748
+
749
+ 188
750
+ 00:15:40,530 --> 00:15:47,210
751
+ logic ู‡ุชุณุชุบุฑุจ ุงู†ู‡ standard logic ุจูŠุณู…ุญ ุงู†ู‡ ุงู„
752
+
753
+ 189
754
+ 00:15:47,210 --> 00:15:52,570
755
+ signal ุชุงุฎุฏ ูˆุงุญุฏ ู…ู† ุชุณุนุฉ ู‚ูŠู… ู‡ู†ุดูˆู ุชูุตูŠู„ุฉ ุจุนุฏ ูƒุฏู‡
756
+
757
+ 190
758
+ 00:15:52,570 --> 00:15:59,330
759
+ ูˆู„ูŠุด ุงู„ุชุณุนุฉ ู‡ุฏูˆู„ ู‡ุฐุง ุจูŠุฏูŠู„ูƒ ุชู…ุซูŠู„ ุจูŠุฎู„ูŠูƒ ุงูŠุด ุงุณู‡ู„
760
+
761
+ 191
762
+ 00:15:59,330 --> 00:16:06,650
763
+ ููŠ ุชู…ุซูŠู„ ุงู„ signals ูˆุงูƒุชุดุงู ุงู„ุฃุฎุทุงุก ูˆุดุบู„ุงุช ู‡ู†ุดูˆูู‡ุง
764
+
765
+ 192
766
+ 00:16:06,650 --> 00:16:10,930
767
+ ุงู† ุดุงุก ุงู„ู„ู‡ ู„ูƒู† ุนู„ู‰ ุงู„ุฃู‚ู„ ููŠ ุงู„ู…ุฑุญู„ุฉ ู‡ุฐู‡ ุจู†ู‚ูˆู„ ุนู„ู‰
768
+
769
+ 193
770
+ 00:16:10,930 --> 00:16:14,150
771
+ ุฃู†ู‡ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ู‡ูˆ zero ูˆ ุงู„ูˆุงุญุฏ ุฌุฒุก ู…ู† ุงู„ุชุณุนุฉ
772
+
773
+ 194
774
+ 00:16:14,150 --> 00:16:17,090
775
+ signatures ู‡ุฏูˆู„ ุฅุฐุง ู†ุณุชุฎุฏู… ุงู„ logic ุงู„ู„ูŠ ุจูŠุงุฎุฏ ูƒุงู…
776
+
777
+ 195
778
+ 00:16:17,090 --> 00:16:21,150
779
+ ู‚ูŠู…ุฉ ู…ู…ูƒู† ุงู„ signature ุชุงุฎุฏ ูƒุงู… ู‚ูŠู…ุฉ ูˆุงุญุฏ ู…ู† ุชุณุนุฉ
780
+
781
+ 196
782
+ 00:16:21,150 --> 00:16:26,910
783
+ ู‚ูŠู… ู…ู†ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ zero ูˆ ุงู„ูˆุงุญุฏ ููŠ data type
784
+
785
+ 197
786
+ 00:16:26,910 --> 00:16:32,010
787
+ ุจุชุงุนู‡ ุงู„ุชุงู†ูŠ ุงุณู…ู‡ bit ููŠ ุงู„ VHDL ุงู„ุจูŠุช ู‡ุฐุง ุจูŠุงุฎุฏ
788
+
789
+ 198
790
+ 00:16:32,010 --> 00:16:36,750
791
+ ูƒุงู… ู‚ูŠู…ุฉ ุจุณ 0 ูˆ 1 usually .. usually we use standard
792
+
793
+ 199
794
+ 00:16:36,750 --> 00:16:40,270
795
+ logic we don't use ุงู„ุจูŠุช data type standard logic
796
+
797
+ 200
798
+ 00:16:40,270 --> 00:16:42,410
799
+ ุฃุญุณู† ู„ูƒ ููŠ simulation ูˆ debugging ูˆุดุบู„ุงุช ูƒุชูŠุฑ
800
+
801
+ 201
802
+ 00:16:42,410 --> 00:16:47,930
803
+ standard logic data type ุฃุญุณู† ู…ู† ู…ูŠู† ุฃุญุณู† ู…ู† ุงู„ ..
804
+
805
+ 202
806
+ 00:16:47,930 --> 00:16:50,530
807
+ ู…ู† ุงู„ุจูŠุช okay
808
+
809
+ 203
810
+ 00:16:56,160 --> 00:16:59,800
811
+ ุจุนุฏ ุงู„ู€ entity declaration ุชุฑูˆุญ ูƒุงุชุจ ุงู„ู€
812
+
813
+ 204
814
+ 00:16:59,800 --> 00:17:05,580
815
+ architecture ุจุฏุก ู‡ุฐุง ูŠุจุฏุฃ ุจุงู„ูƒูŠูˆุช architecture ูˆ
816
+
817
+ 205
818
+ 00:17:05,580 --> 00:17:09,040
819
+ ุจุนุฏูŠู† ุงุณู… ุงู„ architecture ููŠ ุงู„ example ุชุจุนู†ุง ู†ุทู„ุน
820
+
821
+ 206
822
+ 00:17:09,040 --> 00:17:21,680
823
+ ุงู„ example ู‡ุฐู‡
824
+
825
+ 207
826
+ 00:17:21,680 --> 00:17:26,770
827
+ ูุนู„ุง ุจุฏุฃ ุจุงู„ูƒูŠูˆุช architecture space ูˆ ุจุนุฏูŠู† ุงุฏู‡ุง
828
+
829
+ 208
830
+ 00:17:26,770 --> 00:17:32,010
831
+ ุงุณู… ุทุจ ู‡ุฐู‡ architecture to which entity ู„ู‡ุฐู‡ ูุจู†ุช
832
+
833
+ 209
834
+ 00:17:32,010 --> 00:17:37,270
835
+ of half adder ุชู…ุงู… ูŠุนู†ูŠ ุจู‚ูˆู„ ุงู†ุง ุนุงู…ู„ุง ุจุฏูŠ ุงูˆุตู ู‡ู„
836
+
837
+ 210
838
+ 00:17:37,270 --> 00:17:40,370
839
+ ุฌูŠุช ุงู„ design ูุนู„ุง ุงูŠุด ุจูŠุณูˆูŠ ุชู…ุงู… ู„ู‡ which entity
840
+
841
+ 211
842
+ 00:17:40,370 --> 00:17:44,470
843
+ ู‡ุฐู‡ ูู‚ุท ุจุชุญุฏุฏ ุงู„ interface ุงูŠุด ุงู„ input ูˆ ุงูŠุด ุงู„
844
+
845
+ 212
846
+ 00:17:44,470 --> 00:17:49,930
847
+ output ู„ูƒู† ุงูŠุด ุงู„ logic ู…ุด ู…ุญุฏุฏ ู„ุณู‡ ูˆูŠู† ุจูŠุญุฏุฏูˆู‡ ููŠ
848
+
849
+ 213
850
+ 00:17:49,930 --> 00:17:53,850
851
+ ุงู„ architecture ููŠ architecture space ูˆ ุจุชุฏูŠู‡ุง ุงุณู…
852
+
853
+ 214
854
+ 00:17:54,580 --> 00:17:58,580
855
+ ู…ู† ุนู†ุฏูƒ dataflow ู…ุซู„ุง ูˆูƒู„ู…ุฉ of keyword ู‡ุฐู‡ ูˆ
856
+
857
+ 215
858
+ 00:17:58,580 --> 00:18:01,440
859
+ ุจุนุฏูŠู† space ูˆ ุจุนุฏูŠู† of architecture of which
860
+
861
+ 216
862
+ 00:18:01,440 --> 00:18:07,920
863
+ entity ู‡ุฐู‡ ุงูŠุด ุงุณู…ู‡ุง half adder is ุชุฑูˆุญ ูƒุงุชุจ ุจุนุฏ ูƒุฏู‡
864
+
865
+ 217
866
+ 00:18:07,920 --> 00:18:11,680
867
+ ูƒู„ู…ุฉ begin ู‡ุฐุง ุจุฏุงูŠุฉ ุงู„ body ุชุจุน ุงู„ architecture ูˆ
868
+
869
+ 218
870
+ 00:18:11,680 --> 00:18:14,580
871
+ ุชู†ู‡ูŠ ุจ end ููŠ ุงู„ุขุฎุฑ ุจูŠู†ู‡ู… ุจุชุญุท ุงู„ statements ุงู„ู„ูŠ
872
+
873
+ 219
874
+ 00:18:14,580 --> 00:18:20,040
875
+ ุจุชูˆุตู ุงู„ design ุงู„ู„ูŠ ุจุชูˆุตู ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ design
876
+
877
+ 220
878
+ 00:18:20,040 --> 00:18:29,310
879
+ ุทู„ุน ูƒุงุชุจ ู‡ู†ุง ู…ุซู„ุง ูƒุงุชุจ sum ุจูŠุณุงูˆูŠ
880
+
881
+ 221
882
+ 00:18:29,310 --> 00:18:35,310
883
+ not a ูŠุนู†ูŠ a bar a complement and b or ุจูŠู† ุฌุณูŠู… a
884
+
885
+ 222
886
+ 00:18:35,310 --> 00:18:38,050
887
+ and not b ูุนู„ุง ู‡ูŠ ู‡ุฐู‡ ุงู„ equation ุจุชุงุนุฉ ุงู„ sum ููŠ
888
+
889
+ 223
890
+ 00:18:38,050 --> 00:18:42,810
891
+ ุงู„ half adder ุงู„ู„ูŠ ุงุญู†ุง ุฌูŠุจู†ุงู‡ุง ุจุงู„ truth table ุงูˆ
892
+
893
+ 224
894
+ 00:18:42,810 --> 00:18:48,090
895
+ ุจุฃูŠ ุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ุงู„ู„ูŠ ุจุฏูƒูŠู‡ุง ูˆู†ู‡ูŠู†ุง ุงู„ statement ุจ
896
+
897
+ 225
898
+ 00:18:48,090 --> 00:18:54,920
899
+ semicolon ุนุทุจ ู…ู† ู‡ู†ุง ู„ู‡ู†ุง single statement ุจูŠุณู…ูˆู‡ุง
900
+
901
+ 226
902
+ 00:18:54,920 --> 00:19:00,300
903
+ concurrent assignment statement ู‡ู†ู‚ูˆู„ ู„ูƒ ุฃู†ุง ุงูŠุด
904
+
905
+ 227
906
+ 00:19:00,300 --> 00:19:04,100
907
+ concurrent ูƒู…ุงู† ุดูˆูŠุฉ ูˆููŠ ูƒู…ุงู† statement ูŠุนู†ูŠ ุฎุงุตุฉ
908
+
909
+ 228
910
+ 00:19:04,100 --> 00:19:08,400
911
+ ุจู…ูŠู† ุงู„ carry ุงู„ู…ุนุงุฏู„ุฉ ุชุจุนุช ุงู„ carry ูƒุงู†ุช ุนุจุงุฑุฉ ุนู†
912
+
913
+ 229
914
+ 00:19:08,400 --> 00:19:12,520
915
+ ุงูŠุด a and b a and ุงูŠุด and b ุฅุฐุง carry out ุณู…ุงู‡ุง
916
+
917
+ 230
918
+ 00:19:12,520 --> 00:19:15,160
919
+ carry out ุชู„ุงุญุธ ู‡ู†ุง ูƒู„ู…ุฉ sum ู…ุนุฑูุฉ ู‡ู†ุง ู‡ูŠ
920
+
921
+ 231
922
+ 00:19:15,160 --> 00:19:18,900
923
+ assignment ๏ฟฝ๏ฟฝุญ ูˆู„ุงุŸ ูˆ ุจุนุฏูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ a and b are
924
+
925
+ 232
926
+ 00:19:18,900 --> 00:19:22,680
927
+ defined ู‡ูŠ ู‡ูŠ a and b ูƒ input ู„ุงุฒู… ูŠูƒูˆู†ูˆุง ู…ุนุฑููŠู† ููŠ
928
+
929
+ 233
930
+ 00:19:22,680 --> 00:19:27,980
931
+ ู…ูƒุงู† ู…ุง ูˆ ู„ุง ุจุฏูŠู„ูƒ ุฅุฑู‡ุงุฑ ููŠ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆ ุจุนุฏ ุงู„
932
+
933
+ 234
934
+ 00:19:27,980 --> 00:19:33,340
935
+ carry out ุจุชุงุนุชู‡ุง ู…ุนุฑูุฉ ูƒ output port ูŠุณุงูˆูŠ ุงู„ a
936
+
937
+ 235
938
+ 00:19:33,340 --> 00:19:35,160
939
+ and ุงู„ b
940
+
941
+ 236
942
+ 00:19:55,240 --> 00:19:59,400
943
+ ุฅุฐุง ุงู„ entity architecture ุจุชูˆุตู ุงู„ behavior ุฃูˆ ุงู„
944
+
945
+ 237
946
+ 00:19:59,400 --> 00:20:05,040
947
+ structure ุชุจุนุชูŠ ุงู„ design unit ุงู„ architecture
948
+
949
+ 238
950
+ 00:20:05,040 --> 00:20:08,840
951
+ ุงู„ู…ูƒุชูˆุจุฉ ุงู„ู„ูŠ ูˆุฑุฏุชูƒ ุฅูŠุงู‡ุง ู…ูƒุชูˆุจุฉ ุจ style ุจูŠุณู…ูˆู‡
952
+
953
+ 239
954
+ 00:20:08,840 --> 00:20:13,540
955
+ dataflow ู„ุฃู†ู‡ ุจุงู„style ู‡ุฐุง ุฃู†ุช ุชูˆุตู ุงู„ behavior
956
+
957
+ 240
958
+ 00:20:13,540 --> 00:20:16,920
959
+ ุชุจุนูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ system in terms of how data flows
960
+
961
+ 241
962
+ 00:20:16,920 --> 00:20:20,610
963
+ through the system ูุชู„ุงุญุธ ูุนู„ุง ูƒุชุจ ุงู„ sum ุจูŠุณุงูˆูŠ
964
+
965
+ 242
966
+ 00:20:20,610 --> 00:20:23,150
967
+ function ุจุงู„ input ูˆ ุงู„ carry function ุจุงู„ input ูˆ
968
+
969
+ 243
970
+ 00:20:23,150 --> 00:20:26,710
971
+ ุฅุฐุง ููŠ ุงุฎุจุงุฑ ุฃุฎุฑู‰ ุจุชูƒุชุจู‡ุง ูˆ ุฑุงุจุนุฉ ุชู…ุงู… ูุจูŠุณู…ูˆ ุงู„
972
+
973
+ 244
974
+ 00:20:26,710 --> 00:20:34,750
975
+ dataflow ุงู„ style ุจุฏุฃ
976
+
977
+ 245
978
+ 00:20:34,750 --> 00:20:37,350
979
+ ุจุงู„ sum ุจูŠุณุงูˆูŠ ุงู„ statement ู‡ุฐู‡ ูˆ ู‚ูˆู„ู†ุง ุงูŠู‡ ุงุณู…ู‡ุง
980
+
981
+ 246
982
+ 00:20:37,350 --> 00:20:41,230
983
+ concurrent signal assignment statement ูˆ ุจุนุฏูŠู† ุงู„
984
+
985
+ 247
986
+ 00:20:41,230 --> 00:20:43,650
987
+ carry another concurrent signal assignment
988
+
989
+ 248
990
+ 00:20:43,650 --> 00:20:51,080
991
+ statement ูุงู„ูŠ ุจุงู„ูƒ ุงู„ and ูˆ ุงู„ or ุงู„ not ูˆ ุงู„ and ูˆ
992
+
993
+ 249
994
+ 00:20:51,080 --> 00:20:58,740
995
+ ุงู„ or ูˆ ุงู„ and ู‡ุฏูˆู„ ูƒู…ุงู† are not actual
996
+
997
+ 250
998
+ 00:20:58,740 --> 00:21:05,580
999
+ gates logic operators ู‡ุฏูˆู„ ุจู…ุนู†ู‰ ู‡ูŠ ู…ูƒุชูˆุจุฉ ูƒุชุจู†ุงู‡ุง
1000
+
1001
+ 251
1002
+ 00:21:05,580 --> 00:21:10,520
1003
+ ููŠ ุงู„ design ูƒุฏู‡ ุจุงู„ visual ู…ุด ุจุถุฑูˆุฑุฉ ุงู„ not ู‡ุฏูˆู„
1004
+
1005
+ 252
1006
+ 00:21:10,520 --> 00:21:13,220
1007
+ ู„ู…ุง ูŠุฌู‰ ูŠุญูˆู„ู‡ุง ู„ hardware ูŠุชุญูˆู„ ู„ inverter
1008
+
1009
+ 253
1010
+ 00:21:13,220 --> 00:21:15,860
1011
+ ุจุงู„ุชุญุฏูŠุฏ ู…ู† ุงู„ู„ูŠ ุชุนุฑููŠู†ู‡ ูŠู…ูƒู† ูŠุณุชุฎุฏู… ุจุฏู„ ุงู„
1012
+
1013
+ 254
1014
+ 00:21:15,860 --> 00:21:21,260
1015
+ inverter an and gate ุชู…ุงู… ู‡ู†ุง and ุญุณุจ ุงู„ PLD ุงู„ู„ูŠ
1016
+
1017
+ 255
1018
+ 00:21:21,260 --> 00:21:25,120
1019
+ ู‡ุชุณุชุฎุฏู…ู‡ุง ูŠู…ูƒู† ุงู„ PLD ุงู„ู„ูŠ ู‡ุชุณุชุฎุฏู…ู‡ุง ู…ุงููŠุด ููŠู‡ุง
1020
+
1021
+ 256
1022
+ 00:21:25,120 --> 00:21:29,340
1023
+ and gate ูƒุฏู‡ ุจุดูƒู„ ุตุฑูŠุญ ูŠุนู†ูŠ ููŠู‡ุง nouns ุฃูˆ ู†ุธุฑ ุงูˆ
1024
+
1025
+ 257
1026
+ 00:21:29,340 --> 00:21:32,620
1027
+ ูƒุฏู‡ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐูŠ ุงู„ synthesis ุจุชู‡ุง supplement ุงู„
1028
+
1029
+ 258
1030
+ 00:21:32,620 --> 00:21:36,600
1031
+ and ุจุงุณุชุฎุฏุงู… ุงู„ nouns ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† ุชู…ุงู… ูˆู„ุงุŸ ุฐู„ูƒ
1032
+
1033
+ 259
1034
+ 00:21:36,600 --> 00:21:42,360
1035
+ ุจู†ู‚ูˆู„ ุนู„ู‰ ุงู† ุงู„ .. ุงู„ .. ุงู„ operators ู‡ุฏูˆู„ are
1036
+
1037
+ 260
1038
+ 00:21:42,360 --> 00:21:45,620
1039
+ logical operators ูˆ ู„ูŠุณุช ุงูŠู‡ ุงุณู…ู‡ุง ุถุฑูˆุฑุฉ ุชู‚ุงุจู„
1040
+
1041
+ 261
1042
+ 00:21:45,620 --> 00:21:50,480
1043
+ ุจุงุณู…ู‡ุง ุงู„ุฌูŠุชุณ ุงู„ุนุงุฏูŠุฉ ุงู„ู„ูŠ ุชุนุฑููŠู†ู‡ุง ุชู…ุงู… ูˆู„ุง ู‡ูˆ
1044
+
1045
+ 262
1046
+ 00:21:50,480 --> 00:21:52,740
1047
+ ุจุนุฏ ูƒุฏู‡ ุงู„ synthesizer ุจุชุดูˆู ุงูŠุด ุงู„ corresponding
1048
+
1049
+ 263
1050
+ 00:21:52,740 --> 00:21:55,180
1051
+ ุงูŠุด ุงู„ุฌูŠุชุณ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ูู‰ ุงู„ PLD ูˆูŠุญุงูˆู„ ูŠุนู…ู„ mapping
1052
+
1053
+ 264
1054
+ 00:21:55,180 --> 00:21:59,400
1055
+ ุฅุฐุง ููŠ not ุฌุงู‡ุฒ ู…ุงุณุฉ ุจูŠุณุชุฎุฏู…ู‡ ู„ูƒู† ุฅุฐุง ููŠ not
1056
+
1057
+ 265
1058
+ 00:21:59,400 --> 00:22:03,380
1059
+ ุจูŠุญุงูˆู„ ูŠุนู…ู„ ุงู„ equivalent ู„ู‡ ู…ู† ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุชู…ุงู…
1060
+
1061
+ 266
1062
+ 00:22:03,380 --> 00:22:04,860
1063
+ okay
1064
+
1065
+ 267
1066
+ 00:22:13,210 --> 00:22:17,950
1067
+ ูŠุจู‚ู‰ ุญุชู‰ ุงู„ุขู† ุดูู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุญุงุฌุฉ ุณู…ูŠู†ุงู‡ุง signal
1068
+
1069
+ 268
1070
+ 00:22:17,950 --> 00:22:22,590
1071
+ assignment ุงู„ู„ูŠ ู‡ูŠ statement ูˆู‚ู„ู†ุง ุนู„ูŠู‡ุง
1072
+
1073
+ 269
1074
+ 00:22:22,590 --> 00:22:27,270
1075
+ concurrent ุงูŠุด
1076
+
1077
+ 270
1078
+ 00:22:27,270 --> 00:22:31,910
1079
+ ุจุชุณุงูˆูŠ ููŠ ุงู„ statement ู‡ุงุŸ ุฏูŠ ุงูŠุด ุจูŠุตูŠุฑ ููŠู‡ุงุŸ ู„ูˆ
1080
+
1081
+ 271
1082
+ 00:22:31,910 --> 00:22:35,030
1083
+ ุญุตู„ event ุนู„ู‰ ุงูŠ ู…ู† ุงู„ signals ุงู„ู„ูŠ ููŠ ุงู„ right
1084
+
1085
+ 272
1086
+ 00:22:35,030 --> 00:22:40,190
1087
+ hand side ุนู„ู‰ ุทูˆู„ ุงู„ุณูŠุจู†ูŠูˆุชุฑ ุจูŠุฑูˆุญ ุญุงุณุจ ู…ูŠู† ู‚ูŠู… ุงู„
1088
+
1089
+ 273
1090
+ 00:22:40,190 --> 00:22:44,660
1091
+ signal ุงู„ู„ูŠ ููŠ left hand side ูŠุนู†ูŠ ุงู„ู…ุนู†ู‰ ู‡ู†ุง ูŠุนู†ูŠ
1092
+
1093
+ 274
1094
+ 00:22:44,660 --> 00:22:47,580
1095
+ ููŠ ุงู„ statement ู‡ุฐู‡ ุงู„ุฃูˆู„ุงู†ูŠุฉ ุจู†ู‚ูˆู„ ุงู„ sum is
1096
+
1097
+ 275
1098
+ 00:22:47,580 --> 00:22:51,460
1099
+ sensitive ู„ู„ signals ุงู„ู„ูŠ ุธู‡ุฑ ุนู„ู‰ ู†ุงุญูŠุฉ RH ุงู„ู„ูŠ ู‡ูˆ
1100
+
1101
+ 276
1102
+ 00:22:51,460 --> 00:22:55,760
1103
+ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ู‡ู†ุง ููŠ ุงู„ู…ุซุงู„ ุชุจุนู†ุง ุงู„ A and B
1104
+
1105
+ 277
1106
+ 00:22:55,760 --> 00:23:02,620
1107
+ ู„ูˆ ุญุตู„ event ุนู„ู‰ ุงู„ A ุฃูˆ ุงู„ B ูŠุนู†ูŠ ุงูŠุด eventุŸ ุฃูŠ
1108
+
1109
+ 278
1110
+ 00:23:02,620 --> 00:23:07,500
1111
+ ุชุบูŠูŠุฑ ุฃูŠ ุชุบูŠูŠุฑ ุนู„ู‰ ุทูˆู„ ุงู„ simulator ุจูŠุญุณู‚ ูŠุชู…ูŠู†
1112
+
1113
+ 279
1114
+ 00:23:07,500 --> 00:23:11,200
1115
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sum ๏ฟฝ๏ฟฝ ู†ูุณ ุงู„ issue ุงู„ carry out ู‡ู†ุง
1116
+
1117
+ 280
1118
+ 00:23:11,200 --> 00:23:16,010
1119
+ sensitive ู„ู…ูŠู†ุŸ ู„ู„ a ูˆ ุงู„ b ู„ูˆ ุญุตู„ ุงูŠ change ุงูŠ
1120
+
1121
+ 281
1122
+ 00:23:16,010 --> 00:23:18,810
1123
+ event ุนู„ู‰ ุงู„ู€ a ูˆ ุงู„ู€ b ุงู„ู€ simulator ุนู„ู‰ ุทูˆู„ ุจูŠุฑูˆุญ
1124
+
1125
+ 282
1126
+ 00:23:18,810 --> 00:23:23,730
1127
+ ุญุงุณุจ ู‚ูŠู…ุฉ ู…ูŠู† ุงู„ู€ carry out ุทุจ ุชู„ุงุญุธ ูƒู„ ู…ู† ุงู„ู€ sum ูˆ
1128
+
1129
+ 283
1130
+ 00:23:23,730 --> 00:23:28,710
1131
+ ุงู„ู€ carry out sensitive ู„ู„ู€ a ูˆ ุงู„ู€ b ู„ู…ุง ุชุจุฏุฃ ุฅุฐุง ู„ูˆ
1132
+
1133
+ 284
1134
+ 00:23:28,710 --> 00:23:32,270
1135
+ ุญุตู„ ุชุบูŠูŠุฑ ุนู„ู‰ ุงู„ู€ a ูˆ ุงู„ู€ b ุนู„ู‰ ุทูˆู„ ู‡ูŠุญุณุจ ู…ูŠู† ุงู„ู€ sum
1136
+
1137
+ 285
1138
+ 00:23:32,270 --> 00:23:41,130
1139
+ ูˆ ุงู„ู€ carry ูŠุญุณุจู‡ู… ุนุดุงู† ุนู„ู‰ ุทูˆู„ ุทูŠุจ ุงู„ู€ .. ูŠู…ูƒู† ู‡ู†ุง
1140
+
1141
+ 286
1142
+ 00:23:52,580 --> 00:23:56,700
1143
+ ุฃูุชุฑุถ ุฃู†ุง ููŠ ุงู„ู€ design ูƒุงู† ููŠ statement ุชุงู„ุชุฉ ู…ุซู„ุง
1144
+
1145
+ 287
1146
+ 00:23:56,700 --> 00:24:02,680
1147
+ ุงู„ู€ X ุจูŠุณุงูˆูŠ Y
1148
+
1149
+ 288
1150
+ 00:24:02,680 --> 00:24:11,880
1151
+ plus ูˆุงุญุฏ ู…ุซู„ุง ุชู…ุงู… ูˆ ุญุตู„ ุชุบูŠูŠุฑ ูู‚ุท ุนู„ู‰ ุงู„ู€ A ููŠ
1152
+
1153
+ 289
1154
+ 00:24:11,880 --> 00:24:17,140
1155
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู€ simulator ุจูŠุญุณุจ ู‚ูŠู…ุฉ ู…ูŠู† ุงู„ู€ sum will
1156
+
1157
+ 290
1158
+ 00:24:17,140 --> 00:24:20,480
1159
+ carry out ู„ุฃู†ู‡ ู…ุด sensitive ู„ู…ูŠู† ู„ู„ู€ A ู„ูƒู† ุงู„ู€
1160
+
1161
+ 291
1162
+ 00:24:20,480 --> 00:24:24,140
1163
+ statement ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ุฃู†ุง ุฃุถูุชู‡ุง ู‡ู„ ุจูŠุญุณุจู‡ุงุŸ ู„ุฃุŒ
1164
+
1165
+ 292
1166
+ 00:24:24,140 --> 00:24:26,780
1167
+ ู…ุนู†ุงุชู‡ ุฃู†ุช ููŠ ุงู„ู€ concurrent signal assigned to a
1168
+
1169
+ 293
1170
+ 00:24:26,780 --> 00:24:30,940
1171
+ statement ู…ุง ุชูู‡ู…ู‡ุงุด ุฃู†ู‡ุง sequential ุจุณ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ
1172
+
1173
+ 294
1174
+ 00:24:30,940 --> 00:24:33,200
1175
+ ุงู„ูˆุญูŠุฏุฉ ุงู„ู„ูŠ ุชูƒุชุจ ูŠุนู†ูŠ ุจูƒุชุจ text ุฅู†ูƒ ุชูƒุชุจ ูˆุงุญุฏุฉ ูˆ
1176
+
1177
+ 295
1178
+ 00:24:33,200 --> 00:24:37,300
1179
+ ุชู†ูƒุชุจ ูˆุงุญุฏุฉ ูˆุฑุง ุงู„ุชุงู†ูŠุฉุŒ ู„ูƒู† ููŠ ุญุณุงุจู‡ู… ุจูŠุดุชุบู„
1180
+
1181
+ 296
1182
+ 00:24:37,300 --> 00:24:40,220
1183
+ ุงู„ู€ simulator parallelุŒ ุงู„ู…ุนุงู„ุฌุฉ ู„ู…ุง ู‡ุฐุง ูŠุชุญูˆู„ ู„ู‡ุง
1184
+
1185
+ 297
1186
+ 00:24:40,220 --> 00:24:43,510
1187
+ square ููŠ ุงู„ุขุฎุฑ ู„ู…ุง ุชุฌูŠุจ gates ูˆ ุงู„ู€ system ูŠุฏุฎู„ ุงู„ู€
1188
+
1189
+ 298
1190
+ 00:24:43,510 --> 00:24:46,830
1191
+ a ูˆ ุงู„ู€ b ูˆ ุทุงู„ุน ู…ู†ู‡ ุงู„ู€ sum ูˆ ุงู„ู€ carryุŒ ู„ูˆ ุญุตู„ุช ุฃุบูŠุฑ
1192
+
1193
+ 299
1194
+ 00:24:46,830 --> 00:24:48,770
1195
+ ุนู„ู‰ ูˆุงุญุฏุฉุŒ automatic ุงู„ุงุชู†ูŠู† ุงู„ู€ parallel ุจูŠุชุบูŠุฑูˆุงุŒ
1196
+
1197
+ 300
1198
+ 00:24:48,770 --> 00:24:52,350
1199
+ ู…ุด ู‡ูŠูƒ ูˆู„ุงุŒ ู…ุง ููŠุด ุญุฏ ุจูŠุณุชู†ู‰ ุงู„ุชุงู†ูŠุŒ ู…ุด ู‡ูŠูƒ ูˆู„ุงุŒ
1200
+
1201
+ 301
1202
+ 00:24:52,350 --> 00:24:55,210
1203
+ ู„ูƒู† ููŠ ุงู„ู€ codingุŒ ู„ูˆ ุจู†ูƒุชุจ .. ุงุญู†ุง ุจู†ุถุทุฑุŒ
1204
+
1205
+ 302
1206
+ 00:24:55,210 --> 00:24:59,820
1207
+ ู„ูˆ text fileุŒ ุจู†ูƒุชุจ ุณุทุฑ ูˆ ู„ุง ุณุทุฑ ู…ุง ู‡ูˆ ู„ุฃ ูู…ุง ุชูู‡ู…ุด
1208
+
1209
+ 303
1210
+ 00:24:59,820 --> 00:25:01,900
1211
+ ุฃู†ู‡ .. ุฃู†ู‡ .. ุฃู†ู‡ .. ุฃู†ู‡ ู‡ุฐุง ุงู„ุชู†ููŠุฐ ูŠุนู†ูŠ ุฃู†ู‡
1212
+
1213
+ 304
1214
+ 00:25:01,900 --> 00:25:04,260
1215
+ ุจูŠุญุณุจ ุงู„ู€ some ูˆ ุจุนุฏูŠู† ุจูŠุณุชู†ู‰ ูˆ ุจุนุฏูŠู† ุจูŠุญุณุจ ุงู„ู€
1216
+
1217
+ 305
1218
+ 00:25:04,260 --> 00:25:06,460
1219
+ current ู„ุฃ ุชูู‡ู…ู‡ู… ุนู„ู‰ ุฅู†ู‡ู… ุจูŠุญุณุจูˆุง ุฅูŠุด concurrent
1220
+
1221
+ 306
1222
+ 00:25:06,460 --> 00:25:09,820
1223
+ ูŠุนู†ูŠ ุนุงู…ู„ ูƒู„ุงู… ู„ูˆ ูƒุงู† ู…ุซู„ุง ุนู†ุฏู‡ y ูˆ ุนู„ู‰ ุงู„ุฌู‡ุฉ
1224
+
1225
+ 307
1226
+ 00:25:09,820 --> 00:25:12,380
1227
+ ุงู„ุชุงู†ูŠุฉ ููŠ ู…ุซู„ุง carry out ู…ุนู…ูˆู„ ู„ู‡ ู…ุนุงุฏู„ุฉ ุชุงู†ูŠุฉ
1228
+
1229
+ 308
1230
+ 00:25:12,380 --> 00:25:19,000
1231
+ ู…ุซู„ุง ูˆ ุงุชุบูŠุฑ ุงู„ู€ carry out ู…ุด ู‡ุชุบูŠุฑ ู…ุซู„ุง ุงู„ู€ y ู„ุฃ
1232
+
1233
+ 309
1234
+ 00:25:19,000 --> 00:25:24,060
1235
+ ู‡ูŠุฏูŠุฑ ู‡ูŠุฏูŠุฑ ุชู…ุงู…ุŸ ูˆ ู‡ู†ุง ุจุฑุถู‡ ู‡ุฐุง ุจู€ .. ุจู€ .. ุจู€ ..
1236
+
1237
+ 310
1238
+ 00:25:24,060 --> 00:25:27,420
1239
+ ู‡ูŠุฏูŠุฑ ุชู…ุงู…ุŸ ุจุณ ุงู„ู€ .. ุงู„ู€ .. ุงู„ุชุบูŠูŠุฑ ู‡ูŠุตูŠุฑ ุนู„ู‰ ูƒุฐุง
1240
+
1241
+ 311
1242
+ 00:25:27,420 --> 00:25:32,220
1243
+ stage ู‡ูŠุตูŠุฑ ุนู„ู‰ ูƒุฐุง stage ุฅุฐุง ุงู„ู€ carry ุจุชุชุบูŠุฑ
1244
+
1245
+ 312
1246
+ 00:25:32,220 --> 00:25:34,440
1247
+ ูˆุจุนุฏู‡ุง ุงู„ู€ carry input ู„ู€ function ุงู„ู„ูŠ ู‡ูŠ ุชุงู†ูŠุฉ
1248
+
1249
+ 313
1250
+ 00:25:34,440 --> 00:25:37,800
1251
+ ูˆุงุฎุฏ ุจุงู„ูƒ ู„ู€ .. ู„ู€ .. ู„ู€ signal ุชุงู†ูŠุฉ ุณุงุนุฉ ุชุงู†ูŠุฉ ุจุฑุถู‡
1252
+
1253
+ 314
1254
+ 00:25:37,800 --> 00:25:40,180
1255
+ ู‡ูŠ ุจุชุชุบูŠุฑ ุจุณ ุทุจุนุง ููŠ ุงู„ู€ calculation ุญุชู‰ ุจุงู„ู€
1256
+
1257
+ 315
1258
+ 00:25:40,180 --> 00:25:43,480
1259
+ hardware ู…ุด ุจุฏู‡ ูˆ ุจูŠูˆุฌู‡ุด delay time ุจูŠุญุณุจ ุงู„ุฃูˆู„
1260
+
1261
+ 316
1262
+ 00:25:43,480 --> 00:25:45,720
1263
+ level ุฃูˆู„ุงู†ูŠ ุจูŠุฎู„ุต ู…ู†ู‡ ู„ู…ุง ูŠุฎู„ุต ุจุนุฏ ูƒุฏู‡ ุจูŠุฎุด input
1264
+
1265
+ 317
1266
+ 00:25:45,720 --> 00:25:48,340
1267
+ ุนู„ู‰ ุงู„ู€ stage ุงู„ู€ .. ุน ุงู„ู€ level ุงู„ุชุงู†ูŠ ูˆ ุจูŠุทู„ุน ุงู„ู€
1268
+
1269
+ 318
1270
+ 00:25:48,340 --> 00:25:52,380
1271
+ output ุงู„ุชุงู†ูŠ ู…ุด ู‡ูŠูƒ ูˆู„ุงูƒ ู„ูƒู† ุจุฑุถู‡ ุนุดุงู† ุฃุฏุนู…ูƒ ุฃูƒุซุฑ
1272
+
1273
+ 319
1274
+ 00:25:52,380 --> 00:25:57,590
1275
+ ุจู…ุนู†ู‰ ู„ูˆ ู‚ู„ุช ุงู„ู€ state ู…ุซู„ุง ู‡ุฏูˆู„ ุจุฏู„ุชู‡ู… ูˆ ุญุทูŠุช ู‡ุฐู‡
1276
+
1277
+ 320
1278
+ 00:25:57,590 --> 00:26:01,570
1279
+ ู‚ุจู„ ู‡ุฐู‡ ุจุฏูŠู„ูƒ the same design ุฃูˆ ุงู„ู€ state ุงู„ู„ูŠ ุฃู†ุช
1280
+
1281
+ 321
1282
+ 00:26:01,570 --> 00:26:05,790
1283
+ ุฐูƒุฑุชู‡ุง ู„ูˆ ุญุทูŠุชู‡ุง ููŠ ุงู„ุฃูˆู„ ุจุฏูŠู„ูƒ ู†ูุณ ุงู„ู€ design
1284
+
1285
+ 322
1286
+ 00:26:05,790 --> 00:26:09,470
1287
+ ุงู„ุชุฑุชูŠุจ ู„ูŠู‡ ูŠุนู†ูŠ ุดูŠุก ุชู…ุงู… ุงู„ู€ concurrency ุงู„ุชุฑุชูŠุจ
1288
+
1289
+ 323
1290
+ 00:26:09,470 --> 00:26:14,270
1291
+ ู„ูŠู‡ ูŠุนู†ูŠ ุดูŠุก ๏ฟฝ๏ฟฝู„ู„ูŠ ู‡ูˆ ุงู„ุดูŠุก ุชู…ุงู… ุงู„ู€ concurrent ูŠุนู†ูŠ
1292
+
1293
+ 324
1294
+ 00:26:14,270 --> 00:26:18,130
1295
+ ุฅุฐุง ุญุตู„ ุชุบูŠูŠุฑ ููŠ ุฃูŠ signal ู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ุจุดูˆู ู…ูŠู†
1296
+
1297
+ 325
1298
+ 00:26:18,130 --> 00:26:20,750
1299
+ ุจุชุฃุซุฑ ููŠู‡ุง ุจุฑูˆุญ ุจุญุณุจ
1300
+
1301
+ 326
1302
+ 00:26:23,420 --> 00:26:27,020
1303
+ ุชู…ุงู…ุŸ ูˆ ู„ูˆ ู‡ู†ุง ู…ุซู„ุง ุบูŠุฑ ู‡ู†ุง ุงู„ู€ a ุงุชุบูŠุฑ ุฃูˆู„ ุจูŠู‚ูˆู„
1304
+
1305
+ 327
1306
+ 00:26:27,020 --> 00:26:29,540
1307
+ ุงุชุบูŠุฑ ุงู„ู€ carry ุจูŠุญุณุจ ุงู„ู€ carry ุฅูŠู‡ุŸ ู„ูˆ ุงู„ู€ carry
1308
+
1309
+ 328
1310
+ 00:26:29,540 --> 00:26:32,420
1311
+ ู†ูุณู‡ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุจูŠุฃุซุฑ signal ุชุงู†ูŠุฉ ู‡ู†ุง ุงู„ู€ state
1312
+
1313
+ 329
1314
+ 00:26:32,420 --> 00:26:36,500
1315
+ ู…ู† ุงู„ุชุงู†ูŠุฉ ุจูŠุฑูˆุญ ุญุงุณุจู‡ุง ุฅูŠู‡ ุชู…ุงู…ุŸ ูˆ ู‡ุฐุง ุงู„ู„ูŠ ุจุชุชู…
1316
+
1317
+ 330
1318
+ 00:26:36,500 --> 00:26:41,240
1319
+ ููŠ ุงู„ู€ hardware ู†ูุณ ุงู„ู€ design ุฅูŠู‡ุŸ ู…ุด ู‡ูŠุชุบูŠุฑ ุงู„ู€
1320
+
1321
+ 331
1322
+ 00:26:41,240 --> 00:26:46,340
1323
+ design ุชู…ุงู… ูˆู„ุงุŸ ูˆ ุงู„ุชุงู„ูŠ ุฅูŠุดุŸ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ู€
1324
+
1325
+ 332
1326
+ 00:26:46,340 --> 00:26:49,560
1327
+ concurrency ุญุงุฌุฉ critical ูˆ ู…ู‡ู…ุฉ ุนู„ู‰ ููƒุฑุฉ ู„ูˆ
1328
+
1329
+ 333
1330
+ 00:26:49,560 --> 00:27:03,330
1331
+ ุชูู‡ู…ู‡ุง ู‡ูŠูƒ ุชู…ุงู… ูˆู„ุงุŸ ู…ุงุดูŠ ุงู„ุญุงู„ุŸ ุงุชู„ุงุญุธ
1332
+
1333
+ 334
1334
+ 00:27:03,330 --> 00:27:07,970
1335
+ ุฅูŠุด
1336
+
1337
+ 335
1338
+ 00:27:07,970 --> 00:27:11,950
1339
+ ุดูƒู„ ุนู„ุงู…ุฉ ู‡ุฐู‡ ูˆ ูŠุณุงูˆูŠ ูˆุฑุง ุจุนุถ
1340
+
1341
+ 336
1342
+ 00:27:14,170 --> 00:27:16,870
1343
+ ู‡ุชู„ุงู‚ูŠ ููŠ ุจุนุถ ุงู„ู€ operators ุงู„ู„ูŠ ุจูŠุดุชุบู„ ุชู„ุงู‚ูŠ ู…ู‚ุงู…
1344
+
1345
+ 337
1346
+ 00:27:16,870 --> 00:27:19,190
1347
+ ู…ู† two characters ุทุจุนุง ู…ู† ุบูŠุฑ space ุจูŠู†ู‡ู… ู…ู† ุบูŠุฑ
1348
+
1349
+ 338
1350
+ 00:27:19,190 --> 00:27:22,610
1351
+ ุฃูŠ space ุจูŠู†ู‡ู… ู‡ุชู‚ูˆู„ุด ู…ุด ู…ุนู†ุงู‡ ู„ุฃู†ู‡ ููŠ ุนู†ุฏู‡
1352
+
1353
+ 339
1354
+ 00:27:22,610 --> 00:27:25,590
1355
+ summit operator ู„ุญุงู„ู‡ ู…ู† ุบูŠุฑ ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ู‡ ูˆู„ุง
1356
+
1357
+ 340
1358
+ 00:27:25,590 --> 00:27:28,770
1359
+ ุญุงุฌุฉ ุชุงู†ูŠุฉ ู‡ุชุดูˆูู‡ ุจุนุฏ ูƒุฏู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุชู…ุงู…ุŸ ู„ูƒู†
1360
+
1361
+ 341
1362
+ 00:27:28,770 --> 00:27:31,170
1363
+ ู„ูƒู„ ุงู„ู€ signal assigned to set it ุจูŠุณุชุฎุฏู…
1364
+
1365
+ 342
1366
+ 00:27:31,170 --> 00:27:35,390
1367
+ ุนู„ุงู…ุฉ ุงู„ู„ูŠ ู‡ูˆ less than ูˆ ูˆุฑุงู‡ุง ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ุงู„ู€
1368
+
1369
+ 343
1370
+ 00:27:35,390 --> 00:27:43,110
1371
+ equal ุงู„ู€ sign ู…ุงุดูŠ ุงู„ุญุงู„ ุฃูˆูƒูŠ ู…ุงุดูŠ ู…ู…ูƒู† ุชู‚ุฑุฃ as red
1372
+
1373
+ 344
1374
+ 00:27:43,110 --> 00:27:45,690
1375
+ as it gets ุฃูˆ ุงู„ู„ูŠ ุจุฏูƒูŠ ูŠุนู†ูŠ ู…ุฑุงุช ุจูŠู‚ูˆู„ ูŠุณุงูˆูŠ
1376
+
1377
+ 345
1378
+ 00:27:45,690 --> 00:27:53,010
1379
+ ู„ุณุฑุนุฉ ูˆ ูƒุฏู‡ ู…ุงุชูุฑุฌุด ุงู„ู„ูŠ ู‡ูˆ ูƒุซูŠุฑ ุงู„ู†ูˆุน ู‡ุฐุง ู…ู† ุงู„ู€
1380
+
1381
+ 346
1382
+ 00:27:53,010 --> 00:27:56,990
1383
+ operator ุงู„ู„ูŠ ู…ูƒูˆู† ู…ู† ุฃูƒุซุฑ ุฃูˆ ู…ู† two adjacent
1384
+
1385
+ 347
1386
+ 00:27:56,990 --> 00:28:03,830
1387
+ characters ุจูŠู‚ูˆู„ ุนู†ู‡ compound delimiter ู„ุฃู†ู‡
1388
+
1389
+ 348
1390
+ 00:28:03,830 --> 00:28:06,870
1391
+ ู…ูƒูˆู† ู…ู† ุฃูƒุซุฑ ู…ู† character
1392
+
1393
+ 349
1394
+ 00:28:12,220 --> 00:28:15,700
1395
+ ุจู†ู‚ูˆู„ ู…ุฑุฉ ุฃุฎุฑู‰ ุฅู† ุจุงู„ู€ signal assigned to
1396
+
1397
+ 350
1398
+ 00:28:15,700 --> 00:28:20,140
1399
+ statement ู…ุชู‰ ุจุชุชู†ูุฐ ุฅุฐุง ุญุตู„ event ุนู„ู‰ ุฃูŠ ู…ู† ุงู„ู€
1400
+
1401
+ 351
1402
+ 00:28:20,140 --> 00:28:22,380
1403
+ signals ุงู„ู„ูŠ ู‡ูŠ sensitive ู„ู‡ุง ุงู„ู„ูŠ ุธู‡ุฑ ู†ุงุญูŠุฉ ู…ูŠู†
1404
+
1405
+ 352
1406
+ 00:28:22,380 --> 00:28:28,820
1407
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูŠู…ูŠู† ูˆ ุจุนุฏูŠู† ุชุฑุชูŠุจ ุงู„ุชู†ููŠุฐ ูู‚ุท ุงู„ู„ูŠ
1408
+
1409
+ 353
1410
+ 00:28:28,820 --> 00:28:34,340
1411
+ ุจูŠุญุฏุฏู‡ ู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ order of events ุงู„ู„ูŠ ู‡ูŠ ู„ู‡ุง
1412
+
1413
+ 354
1414
+ 00:28:34,340 --> 00:28:38,740
1415
+ sensitive ุชุฑุชูŠุจ ุฅูŠู‡ ููŠ ุงู„ุชู†ููŠุฐ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ูƒุงุชุจ
1416
+
1417
+ 355
1418
+ 00:28:38,740 --> 00:28:41,940
1419
+ ู…ุงุดูŠ ุฎู…ุณุฉ statements ุชู…ุงู…ุŸ ูˆ ููŠ ูˆุงุญุฏุฉ ู…ู†ู‡ู… ููŠ
1420
+
1421
+ 356
1422
+ 00:28:41,940 --> 00:28:45,780
1423
+ ุงู„ู†ุตู sensitive ู„ู€ signal X ูˆ ุงู„ุจุงู‚ูŠ ู…ุด ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1424
+
1425
+ 357
1426
+ 00:28:45,780 --> 00:28:46,260
1427
+ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1428
+
1429
+ 358
1430
+ 00:28:46,260 --> 00:28:46,960
1431
+ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1432
+
1433
+ 359
1434
+ 00:28:46,960 --> 00:28:49,380
1435
+ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1436
+
1437
+ 360
1438
+ 00:28:49,380 --> 00:28:51,040
1439
+ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1440
+
1441
+ 361
1442
+ 00:28:51,040 --> 00:28:58,500
1443
+ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ ู…ูˆ
1444
+
1445
+ 362
1446
+ 00:29:07,810 --> 00:29:11,750
1447
+ ุจุชู†ุธุฑ ุงู„ู€ concordate ุงู„ู„ูŠ ู‡ูŠ statement ุนู„ูŠู‡ุง ุจุชุชู†ูุฐ
1448
+
1449
+ 363
1450
+ 00:29:11,750 --> 00:29:16,230
1451
+ ุจุดูƒู„ simultaneous ุชู…ุงู… ูˆู„ุง .. ุฅุฐุง ุญุตู„ ุชุบูŠูŠุฑ ุนู„ู‰
1452
+
1453
+ 364
1454
+ 00:29:16,230 --> 00:29:20,810
1455
+ ุณุฌู† ู…ุดุชุฑูƒุฉ ุจูŠู† ู‡ุฐูŠู† ุงู„ุงุชู†ูŠู† ุจุชู†ุธุฑู‡ู… ุจุชู†ูุฐ
1456
+
1457
+ 365
1458
+ 00:29:20,810 --> 00:29:23,690
1459
+ simultaneously ุชู…ุงู…ุŸ ู„ุฃู†ู‡ ููŠ ุงู„ู€ hardware ููŠ ุงู„ุขุฎุฑ
1460
+
1461
+ 366
1462
+ 00:29:23,690 --> 00:29:26,310
1463
+ ู‡ูŠุดูŠู„ูˆู‡ุง ูƒุฐุง ู…ุด ู‡ูŠูƒ ููŠ ุงู„ู€ hardware
1464
+
1465
+ 367
1466
+ 00:29:34,340 --> 00:29:38,780
1467
+ ูˆ ู‡ุฐุง ุฃุญุฏ ุงู„ูุฑูˆู‚ ุงู„ุฃุณุงุณูŠุฉ ูˆ ุงู„ุฌูˆู‡ุฑูŠุฉ between ุงู„ู€
1468
+
1469
+ 368
1470
+ 00:29:38,780 --> 00:29:42,680
1471
+ VHDL ุฃูˆ ุฃูŠ HDL ูˆ ุงู„ู€ sequential language ุงู„ุนุงุฏูŠ ุฃูˆ
1472
+
1473
+ 369
1474
+ 00:29:42,680 --> 00:29:46,220
1475
+ ุงู„ู€ sequential statements ุจุงู„ู„ุบุงุช ุงู„ุนุงุฏูŠุฉ ู„ุงุญุธุช ุฃู†ุช
1476
+
1477
+ 370
1478
+ 00:29:46,220 --> 00:29:49,360
1479
+ ู„ูˆ ุชูƒุชุจ ุจุฑู†ุงู…ุฌ ุจุงู„ุฌุงูุง ุฃูˆ ุฃูŠ ู„ุบุฉ ุฃุฎุฑู‰ ุงู„ุนุงุฏูŠุฉ ู‡ุฐู‡
1480
+
1481
+ 371
1482
+ 00:29:49,360 --> 00:29:52,800
1483
+ ูุนู„ุง ุงู„ุชู†ููŠุฐ ุจูŠูƒูˆู† ู…ุด concurrent sequential ู…ุด
1484
+
1485
+ 372
1486
+ 00:29:52,800 --> 00:29:57,080
1487
+ sequential ูˆ ุงู„ุชุฑุชูŠุจ ู‡ูˆ ุงู„ุงุนุชุจุงุฑ ู„ูˆ ู‚ู„ุช I ุจูŠุณุงูˆูŠ ุฎู…ุณุฉ
1488
+
1489
+ 373
1490
+ 00:29:57,080 --> 00:30:03,020
1491
+ ูˆ ุจุนุฏูŠู† B ุจูŠุณุงูˆูŠ I plus ูƒุฏู‡ ูˆ ูƒุฏู‡ ู„ูˆ ู„ุฎุจุทุชู‡ู… ู‚ุนุฏุช
1492
+
1493
+ 374
1494
+ 00:30:03,020 --> 00:30:08,060
1495
+ ุงู„ุชุฑุชูŠุจ ุจุชุชุบูŠุฑ ุงู„ู€ code ู…ุด ู‡ูŠูƒ ูˆู„ุงูƒ ุชู…ุงู… ุจูŠุณู…ูˆู‡ ู‡ู†ุง
1496
+
1497
+ 375
1498
+ 00:30:08,060 --> 00:30:11,840
1499
+ sequential statements ูˆ for your information ููŠ ุจุงู„ู€
1500
+
1501
+ 376
1502
+ 00:30:11,840 --> 00:30:13,580
1503
+ visual aid ูƒู…ุงู† sequential statements ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ุง
1504
+
1505
+ 377
1506
+ 00:30:13,580 --> 00:30:19,040
1507
+ ุจุฑุถู‡ ููŠู‡ุง concurrent ููŠู‡ุง ุนูŠุงุดุฉ ูˆ ููŠู‡ุง sequential
1508
+
1509
+ 378
1510
+ 00:30:19,040 --> 00:30:20,140
1511
+ statements
1512
+
1513
+ 379
1514
+ 00:30:25,220 --> 00:30:28,020
1515
+ sequential statements ู„ูƒู† ุงู„ู€ sequential
1516
+
1517
+ 380
1518
+ 00:30:28,020 --> 00:30:31,620
1519
+ statements ููŠ ุงู„ู€ VHDL ุจุชุธู‡ุฑ ูˆูŠู†ุŸ ุจุชุธู‡ุฑ ููŠ
1520
+
1521
+ 381
1522
+ 00:30:31,620 --> 00:30:34,260
1523
+ statement ุจุชุณู…ู‰ process ู‡ุชุดูˆูู‡ ุจุนุฏ ูƒุฏู‡ ุฅู† ุดุงุก ุงู„ู„ู‡
1524
+
1525
+ 382
1526
+ 00:30:34,260 --> 00:30:38,320
1527
+ ุฃูˆ ุฌูˆุง sub program sub program ูŠุนู†ูŠ function ุฃูˆ ุฅูŠุด
1528
+
1529
+ 383
1530
+ 00:30:38,320 --> 00:30:44,360
1531
+ ุฃูˆ procedure ู…ุนู†ุงุชู‡ ููŠ ููŠ ุงู„ู€ VHDL sequential
1532
+
1533
+ 384
1534
+ 00:30:44,360 --> 00:30:51,220
1535
+ statements ูˆูŠู† ุจุชุธู‡ุฑุŸ ุฌูˆุง process ุฃูˆ sub program
1536
+
1537
+ 385
1538
+ 00:30:51,980 --> 00:30:55,060
1539
+ ุงู„ู€ subprogram ุฃู…ุง ุฅู†ู‡ function ุฃูˆ ุฅูŠุด ุฃูˆ
1540
+
1541
+ 386
1542
+ 00:30:55,060 --> 00:31:00,860
1543
+ procedure ู‡ู†ุดูˆูู‡ ููŠ ุญูŠู†ู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ ุชู…ุงู…ุŸ ูˆ ุจุงู„ุชุงู„ูŠ
1544
+
1545
+ 387
1546
+ 00:31:00,860 --> 00:31:04,220
1547
+ ุฃู†ุช ู…ู† ู…ูƒุงู† ุธู‡ูˆุฑ ุงู„ู€ statements ููŠ ุงู„ู€ code ู‡ุชุนุฑู ู‡ู„
1548
+
1549
+ 388
1550
+ 00:31:04,220 --> 00:31:07,920
1551
+ ู‡ูŠ concurrent ูˆู„ุง ุฅูŠุด ูˆู„ุง sequential ุฅุฐุง ู„ู‚ูŠุช
1552
+
1553
+ 389
1554
+ 00:31:07,920 --> 00:31:13,020
1555
+ statement ุงู„ู„ูŠ ู‡ูŠ ุฌูˆุง process ูŠุจู‚ู‰ ุฃูƒูŠุฏ ุฅูŠุดุŸ
1556
+
1557
+ 390
1558
+ 00:31:13,020 --> 00:31:16,880
1559
+ sequential ุฌูˆุง subprogram ุฃูƒูŠุฏ ุฅูŠุดุŸ sequential ู…ุง
1560
+
1561
+ 391
1562
+ 00:31:16,880 --> 00:31:20,760
1563
+ ู‡ูŠ ุฌูˆุง ู‡ุฐู‡ ุฃูˆ ู‡ุฐู‡ ูŠุจู‚ู‰ concurrent ูŠุจู‚ู‰ concurrent
1564
+
1565
+ 392
1566
+ 00:31:21,480 --> 00:31:26,040
1567
+ ู„ูƒู† ุงู„ู€ process ุนู„ู‰ ุจุนุถู‡ุง ุจุงู„ุฌู…ู„ุฉ concurrent ูุงู„ู„ูŠ
1568
+
1569
+ 393
1570
+ 00:31:26,040 --> 00:31:31,680
1571
+ ุจู‚ู‰ ู„ูƒ ุชู…ุงู…ุŸ ู‡ูŠูƒ ุจุชูˆุถุญ ุฃูƒุซุฑ ู„ู…ุง ุชุดูˆู ุจุนุฏ ูƒุฏู‡ ุงู„ู€
1572
+
1573
+ 394
1574
+ 00:31:31,680 --> 00:31:35,020
1575
+ process ุงู„ู€ statement ูƒุจูŠุฑุฉ ูƒุฏู‡ ุฌูˆุงู‡ุง ุจุชุญุท
1576
+
1577
+ 395
1578
+ 00:31:35,020 --> 00:31:38,860
1579
+ statement ุฃุฎุฑู‰ ุงู„ู„ูŠ ุฌูˆุงู‡ุง ุจูŠูƒูˆู† ุฅูŠู‡ุŸ sequential
1580
+
1581
+ 396
1582
+ 00:31:38,860 --> 00:31:44,040
1583
+ ู„ุฅู† ูƒู„ู‡ุง ุนู„ู‰ ุจุนุถ concurrent ู„ุฅู† ู…ู…ูƒู† ุชุญุท ููŠ ุงู„ู€
1584
+
1585
+ 397
1586
+ 00:31:44,040 --> 00:31:48,620
1587
+ code ูƒุฏู‡ process ูˆุงุญุฏ ุจู‚ู‰ ู„ูƒ ู…ุด ุฌูˆุง ุจุนุถ process ูˆ
1588
+
1589
+ 398
1590
+ 00:31:48,620 --> 00:31:53,110
1591
+ ุจุนุฏูŠู† ูˆุฑุงู‡ุง process and so on ุงู„ู€ processes ุจุงู„ุฌู…ู„ุฉ
1592
+
1593
+ 399
1594
+ 00:31:53,110 --> 00:31:57,770
1595
+ concurrent ู„ูƒู† ูƒู„ ูˆุงุญุฏุฉ ุชูุงุตูŠู„ู‡ุง ู…ู† ุฌู‡ุฉ SSH ุงู„ู€
1596
+
1597
+ 400
1598
+ 00:31:57,770 --> 00:32:04,290
1599
+ sequential ุงู„ู€
1600
+
1601
+ 401
1602
+ 00:32:04,290 --> 00:32:10,310
1603
+ processes ู‡ู†ุดูˆูู‡ุง ุจุนุฏูŠู† ุฅู† ุดุงุก ุงู„ู„ู‡ ู‡ู„ู‚ูŠุช
1604
+
1605
+ 402
1606
+ 00:32:10,310 --> 00:32:13,730
1607
+ ุจุนุฏ ู…ุง ูƒุชุจุช ุงู„ู€ design description ุจุงู„ู€ VHDL ูˆ ุฎุฒู†ุชู‡
1608
+
1609
+ 403
1610
+ 00:32:13,730 --> 00:32:18,010
1611
+ ุจุฏูƒ ุชุนู…ู„ู‡ compilation ุฒูŠ ู…ุง ุจุชุนู…ู„ ููŠ ุฃูŠ language
1612
+
1613
+ 404
1614
+ 00:32:19,290 --> 00:32:24,370
1615
+ ุจุงู„ู€ VHDL ู…ุฑุงุช ุจูŠุณู…ูˆุง ุงู„ู€ compilers analyzers ูŠู…ูƒู†
1616
+
1617
+ 405
1618
+ 00:32:24,370 --> 00:32:30,830
1619
+ ูƒู„ู…ุฉ analyzer ุฃุฏู‚ ู…ู† compiler ุชู…ุงู…ุŸ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุฃู†ุช
1620
+
1621
+ 406
1622
+ 00:32:30,830 --> 00:32:40,190
1623
+ ุจุงู„ู€ compilation ุงู„ุนุงุฏูŠ ุงู„ู„ูŠ ุจุชุนุฑูู‡ ุฅูŠุด ุจูŠุตูŠุฑ ูˆ ู‡ุฐุง
1624
+
1625
+ 407
1626
+ 00:32:40,190 --> 00:32:41,750
1627
+ ุจูŠุทู„ุน ุจุฑุถู‡ุŒ ู„ุฃ ู…ุด ู‡ุฐุง ุงู„ูุฑู‚
1628
+
1629
+ 408
1630
+ 00:32:46,340 --> 00:32:49,420
1631
+ ุฃูŠูˆุฉ ุจูŠุญุงูˆู„ูˆุง code ูƒุงู† ู„ู€ machine ู„ู€ machine code ู…ุด
1632
+
1633
+ 409
1634
+ 00:32:49,420 --> 00:32:52,140
1635
+ ู‡ูŠูƒ ูˆู„ุง ู„ู€ .. ุจูŠุทู„ุน ู„ูƒ x file ูŠ run ุงู„ู€ file ุจูŠุดุชุบู„
1636
+
1637
+ 410
1638
+ 00:32:52,140 --> 00:32:55,180
1639
+ ุงู„ู€ file ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุง ู‡ุฐุง ู…ุด ุงู„ู€ compiler ููŠ ุงู„ู€
1640
+
1641
+ 411
1642
+ 00:32:55,180 --> 00:32:58,720
1643
+ visual ู…ุด ู‡ูŠูƒ ุงู„ู€ compiler ู…ุด ุฃู†ุช ุจูŠูƒูˆู† ู„ูƒ source
1644
+
1645
+ 412
1646
+ 00:32:58,720 --> 00:33:01,980
1647
+ source file ูุนู„ุง ุจุชุนู…ู„ ุงู„ู€ compilation ุจูŠุทู„ุนุด ุงู„ู„ูŠ
1648
+
1649
+ 413
1650
+ 00:33:01,980 --> 00:33:04,680
1651
+ ู‡ูŠ file you run it ุนุดุงู† ูŠุนู…ู„ ู„ูƒ ุงู„ู„ูŠ ุจุฏูƒ ูŠู‡ูŠุฆ ู„ู‡
1652
+
1653
+ 414
1654
+ 00:33:04,680 --> 00:33:08,820
1655
+ ุจูŠุฏูŠู„ูƒ ุจูŠุฎุฒู† ุจูŠุนู…ู„ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุจูŠุนู…ู„
1656
+
1657
+ 415
1658
+ 00:33:08,820 --> 00:33:13,600
1659
+ analysis syntax ูˆ semantic analysis ู„ู€ ุงู„ู€ code ุชุจุนูƒ
1660
+
1661
+ 416
1662
+ 00:33:13,600 --> 00:33:18,710
1663
+ ุจุญูŠุซ ูŠุทู„ุน ุงู„ุฃุฎุทุงุก ูˆ ู‡ู†ุดูˆู ุฅูŠุด ุงู„ุฃุฎุทุงุก ุฏูŠ ู„ูˆ ู‡ูˆ free
1664
+
1665
+ 417
1666
+ 00:33:18,710 --> 00:33:23,250
1667
+ of errors ุจูŠุฎุฒู† ู„ูƒ ุงู„ู€ file ุจู€ some intermediate
1668
+
1669
+ 418
1670
+ 00:33:23,250 --> 00:33:26,790
1671
+ form ุจุญูŠุซ ุงู„ู€ simulator ุจูŠู‚ุฑุฃู‡ุง ูƒู€ input ุนุดุงู† ู†ู‚ุฏุฑ
1672
+
1673
+ 419
1674
+ 00:33:26,790 --> 00:33:31,930
1675
+ ูŠุนู…ู„ ู…ู†ู‡ุง simulation ุชู…ุงู… ูˆู„ุงุŸ ูŠุนู†ูŠ ุจูŠุฏูŠู„ูƒุด file
1676
+
1677
+ 420
1678
+ 00:33:31,930 --> 00:33:34,490
1679
+ ุจุญูŠุซ ุฃู†ุช ู…ู† ุบูŠุฑ simulator ู„ุญุงู„ู‡ ูƒุฏู‡ ูŠูˆุฑุงู†ูŠุงุช
1680
+
1681
+
1682
+
1683
+ 421
1684
+ 00:33:34,490 --> 00:33:38,990
1685
+ ุจูŠุดุชุบู„ ุชู„ุงุญุธ ุจุงู„ู€ compilers ุงู„ุนุงุฏูŠุฉ ุฅูŠุด ุจู†ูŠุฌูŠ ู„ู„ู€ C
1686
+
1687
+ 422
1688
+ 00:33:38,990 --> 00:33:41,530
1689
+ ุฃูˆ ุงู„ู€ Java compile ุจูŠุทู„ุน code ุนู„ู‰ ุฌุงู…ุจ ูƒุฏู‡ ุจู†ู‚ุฏุฑ
1690
+
1691
+ 423
1692
+ 00:33:41,530 --> 00:33:43,750
1693
+ ู†ุดุบู„ู‡ ู…ู† ุบูŠุฑ ุงู„ู€ environment ุทุจุนุง ู„ู‡ุง ุฏู‡ ู…ุธุจูˆุท ูˆู„ุง
1694
+
1695
+ 424
1696
+ 00:33:43,750 --> 00:33:48,730
1697
+ ู„ุฃ ุชู…ุงู…ุง ูˆุฒูุฑุนุชู‡ุง ู…ุด ุจุชุฏูŠู„ูƒ ุงู„ู€ function a dot out ุฃูˆ
1698
+
1699
+ 425
1700
+ 00:33:48,730 --> 00:33:52,590
1701
+ whatever ุฃูˆ ูƒุฏู‡ ุจุชุฏูŠู„ูƒ ุงู„ู„ูŠ ู‡ูŠ some exe file ุงู„
1702
+
1703
+ 426
1704
+ 00:33:52,590 --> 00:33:55,550
1705
+ code ุงู„ู€ exe ุงูƒุชุดุงูู‡ ุจุงู„ุขุฎุฑ ููŠ ุงู„ุขุฎุฑ ูˆุจุนุฏูŠู† you
1706
+
1707
+ 427
1708
+ 00:33:55,550 --> 00:33:57,550
1709
+ just type ุงุณู… ุงู„ู€ .. ู„ูˆ ุฑูˆุญุช ุงู„ู€ .. ู„ูˆ ุฑูˆุญุช ุงู„ู€
1710
+
1711
+ 428
1712
+ 00:33:57,550 --> 00:34:00,830
1713
+ command line you type ุงู„ู„ูŠ ู‡ูŠ ุงุณู… ุงู„ู€ code ุงู„ู„ูŠ ุทู„ุน
1714
+
1715
+ 429
1716
+ 00:34:01,520 --> 00:34:04,880
1717
+ ุงู„ู„ูŠ XE file ูˆุจูŠุดุชุบู„ ู…ู† ุบูŠุฑ ู…ุง ุชูƒูˆู† ููŠ ุงู„ู€
1718
+
1719
+ 430
1720
+ 00:34:04,880 --> 00:34:07,620
1721
+ environment ู…ุดุงูƒู‡ ูˆู„ุง .. ู„ุง ุจุฏู‡ simulator ูˆู„ุง ุฅุดูŠ
1722
+
1723
+ 431
1724
+ 00:34:07,620 --> 00:34:11,060
1725
+ ู„ูƒู† ุจุงู„ู€ VHDL ุจูŠุนู…ู„ compilation ุจู…ุนู†ู‰ ุจูŠุนู…ู„
1726
+
1727
+ 432
1728
+ 00:34:11,060 --> 00:34:14,300
1729
+ analysis ู„ู„ูŠ ุฅุดูŠ ู„ู„ู€ program ุฅุฐุง ููŠู‡ syntax errors
1730
+
1731
+ 433
1732
+ 00:34:14,300 --> 00:34:16,300
1733
+ ุจูŠู‚ุงู„ ู„ูƒ ุฅูŠุงู‡ุง ุฅุฐุง ููŠู‡ static semantic errors
1734
+
1735
+ 434
1736
+ 00:34:16,300 --> 00:34:19,500
1737
+ ุจูŠุทุงู„ุน ู„ูƒ ุฅูŠุงู‡ุง ู„ุบุงูŠุฉ ู…ุง ูŠุตูŠุฑ ููŠู‡ free of errors
1738
+
1739
+ 435
1740
+ 00:34:19,500 --> 00:34:23,740
1741
+ ูˆุงุชุตุญู‘ุญ ูˆุงุชุธุจุท ุจูŠุฎุฒู†ู‡ ููŠ some intermediate form ู‡ุฐุง
1742
+
1743
+ 436
1744
+ 00:34:23,740 --> 00:34:28,320
1745
+ ุจูŠุฌุฑู‘ุญ simulator ุนุดุงู† ูŠุนุฑู ูŠุนู…ู„ ู„ูƒ simulation you
1746
+
1747
+ 437
1748
+ 00:34:28,320 --> 00:34:30,950
1749
+ cannot run intermediate format without ุงู„ู€ mean
1750
+
1751
+ 438
1752
+ 00:34:30,950 --> 00:34:34,390
1753
+ simulator ู„ุฐู„ูƒ ุงู„ู…ุนู†ู‰ ุงู„ุฃุถุนู ุงู„ู„ูŠ ู‡ูˆ ุฅุดูŠ ุงู„ู„ูŠ ู‡ูˆ
1754
+
1755
+ 439
1756
+ 00:34:34,390 --> 00:34:37,650
1757
+ ุฅุดูŠ analyzer ูˆู„ูŠุณ ุฅุดูŠ compiler ุจุงู„ู…ุนู†ู‰ ุงู„ู…ุนู‡ูˆุฏ
1758
+
1759
+ 440
1760
+ 00:34:37,650 --> 00:34:40,170
1761
+ ู„ูƒู† ููŠ ุงู„ูƒุชุงุจ ู‡ุฐุง ูˆุงู„ูƒุชุจ ุงู„ุฃุฎุฑู‰ ุจูŠู‚ูˆู„ compilation
1762
+
1763
+ 441
1764
+ 00:34:40,170 --> 00:34:44,210
1765
+ ุนู„ู‰ ุงุนุชุจุงุฑ ุฅู†ูƒ ุฃู†ุช ูุงู‡ู… ุงู„ู€ differences ุงู„ุงุฎุชู„ุงูุงุช
1766
+
1767
+ 442
1768
+ 00:34:44,210 --> 00:34:47,010
1769
+ ูˆู„ูˆ ู‚ูˆู„ู‡ุง compilation ู…ุด ุญุงู„ ุฌุฏูŠ ูŠุนู†ูŠ ู…ุด ุงู„ุญุงู„
1770
+
1771
+ 443
1772
+ 00:34:47,010 --> 00:34:54,230
1773
+ ุจูŠูƒูˆู† ู‡ุฐุง at least ุฅุดูŠ in mind ุชู…ุงู… okay
1774
+
1775
+ 444
1776
+ 00:35:02,780 --> 00:35:07,020
1777
+ ุทุจุนุง ู„ู…ุง ุชูƒุชุจ code ุจูŠุฎู„ูŠ ุงู„ุฃู…ุฑ ุจูŠูƒูˆู† ููŠู‡ errors
1778
+
1779
+ 445
1780
+ 00:35:07,020 --> 00:35:12,500
1781
+ ูŠุนู†ูŠ ุนุงุฏูŠ ุทุจูŠุนูŠ ู…ุด ู‡ูŠูƒุŸ ุจูŠูƒูˆู† ููŠู‡ some syntax
1782
+
1783
+ 446
1784
+ 00:35:12,500 --> 00:35:16,240
1785
+ errors ูŠุนู†ูŠ ู‡ุฐู‡ violations ู„ู„ู€ grammar ุชุจุนุชูŠ ุงู„ู€
1786
+
1787
+ 447
1788
+ 00:35:16,240 --> 00:35:22,380
1789
+ language ูŠุนู†ูŠ ู…ุซู„ุง ุงู„ู€ entity ู„ุงุฒู… ุชู†ุชู‡ูŠ ุจู€ end ูŠู…ูƒู†
1790
+
1791
+ 448
1792
+ 00:35:22,380 --> 00:35:26,500
1793
+ ุชู†ุณู‰ ุชูƒุชุจ ุงู„ู€ end ูู„ู…ุง ุชู†ุณูŠ ุชุนู…ู„ compilation ุจูŠู‚ูˆู„ ู„ูƒ
1794
+
1795
+ 449
1796
+ 00:35:26,500 --> 00:35:30,200
1797
+ ุฅู†ูƒ ุชู†ุณู‰ end ุฃูˆ ูƒุฏู‡ ุจูŠุฏูŠู„ูƒ error message ุจุญูŠุซ ุจุชุตุญุญ
1798
+
1799
+ 450
1800
+ 00:35:30,200 --> 00:35:35,980
1801
+ ูˆุจุชุนูŠุฏ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ .. ุงู„ู€ compilation ููŠ ู†ูˆุน
1802
+
1803
+ 451
1804
+ 00:35:35,980 --> 00:35:38,800
1805
+ ุซุงู†ูŠ ุจูŠุณู…ูˆู‡ ู…ู† ุงู„ู€ errors ุจูŠุณู…ูˆู‡ semantic errors
1806
+
1807
+ 452
1808
+ 00:35:38,800 --> 00:35:42,180
1809
+ ู„ุฃู†ู‡
1810
+
1811
+ 453
1812
+ 00:35:42,180 --> 00:35:45,300
1813
+ ุฃูŠ language ู„ู„ู€ constructs ุชุจุนุชู‡ุง ูˆู…ูƒูˆู†ุงุชู‡ุง ุจุชุฏูŠ
1814
+
1815
+ 454
1816
+ 00:35:45,300 --> 00:35:49,500
1817
+ ู…ุนุงู†ูŠ ู…ุญุฏุฏุฉ ู…ุด ู‡ูŠูƒ ูˆู„ุง .. ู„ูˆ ุฃู†ุช ุฃุณุฃุช ุงุณุชุฎุฏุงู…
1818
+
1819
+ 455
1820
+ 00:35:49,500 --> 00:35:54,480
1821
+ ุงู„ู…ุนู†ู‰ ุจุชุฏูŠู„ูƒ error ุจุชุฏูŠู„ูƒ ุฅูŠุด .. ุจูŠุณู…ูˆู‡ semantic
1822
+
1823
+ 456
1824
+ 00:35:54,480 --> 00:35:58,720
1825
+ ุฅูŠุด errors ุงู„ู€ semantic ููŠ ู†ูˆุนูŠู† ููŠ ุงู„ู„ูŠ ู‡ูˆ static
1826
+
1827
+ 457
1828
+ 00:35:58,720 --> 00:36:03,230
1829
+ ูˆููŠ ุฅูŠุด ูˆููŠ ุงู„ู€ dynamicุงู„ู€ Static Semantic Errors
1830
+
1831
+ 458
1832
+ 00:36:03,230 --> 00:36:08,370
1833
+ ู‡ุฐู‡ ุณู‡ู„ุฉ ุชุชูƒุชุจู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ูƒู…ุจุงูŠู„ุฑ ู„ูˆ ุชุฌู‡ูŠุฒูƒ ุฅู„ู‰
1834
+
1835
+ 459
1836
+ 00:36:08,370 --> 00:36:08,990
1837
+ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰
1838
+
1839
+ 460
1840
+ 00:36:08,990 --> 00:36:10,750
1841
+ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰
1842
+
1843
+ 461
1844
+ 00:36:10,750 --> 00:36:11,570
1845
+ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰
1846
+
1847
+ 462
1848
+ 00:36:11,570 --> 00:36:12,490
1849
+ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ๏ฟฝ๏ฟฝู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰
1850
+
1851
+ 463
1852
+ 00:36:12,490 --> 00:36:15,990
1853
+ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ
1854
+
1855
+ 464
1856
+ 00:36:15,990 --> 00:36:20,230
1857
+ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆ
1858
+
1859
+ 465
1860
+ 00:36:20,230 --> 00:36:25,670
1861
+ ุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุงูŠู„ุฑ ูˆุชุฌู‡ูŠุฒูƒ ุฅู„ู‰ ุงู„ูƒู…ุจุง
1862
+
1863
+ 466
1864
+ 00:36:26,630 --> 00:36:30,310
1865
+ ูˆุงู„ู€ compiler ูŠุนู†ูŠ ู‡ูŠ ูƒู€ syntax ุณู„ูŠู…ุฉ ูƒู€ semantic ู…ุด
1866
+
1867
+ 467
1868
+ 00:36:30,310 --> 00:36:33,610
1869
+ ุณู„ูŠู…ุฉ ุนู…ู‘ุงู„ูƒ ุจุฏูƒ ุชุญุท ุฅุดูŠ data ุชุงุจุนู‡ standard logic
1870
+
1871
+ 468
1872
+ 00:36:33,610 --> 00:36:39,390
1873
+ ูˆู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ is bit ู…ุด ู‡ูŠู†ูุน ุงู„ู€ compiler ุจูŠุฏูŠู„ูƒ
1874
+
1875
+ 469
1876
+ 00:36:39,390 --> 00:36:43,850
1877
+ error ุชู…ุงู… ุจุชุฑูˆุญ ุฃู†ุช ู…ุตุญู‘ุญ ุชูˆุญู‘ุฏ ุงู„ู†ูˆุนูŠู† ู…ุซู„ุง ู„ุญุงู„ู‡ุง
1878
+
1879
+ 470
1880
+ 00:36:43,850 --> 00:36:46,510
1881
+ ุชุฎู„ูŠ ุงู„ุงุชู†ูŠู† ุจุช ุฃูˆ ุงู„ุงุชู†ูŠู† standard logic ุช work
1882
+
1883
+ 471
1884
+ 00:36:46,510 --> 00:36:50,190
1885
+ ุณุงุนุชู‡ุง ุชู…ุงู… ู‡ุฐู‡ ุจูŠุณู…ูˆู‡ุง semantic static semantic
1886
+
1887
+ 472
1888
+ 00:36:50,190 --> 00:36:54,850
1889
+ error ู„ุฃู†ู‡ static ู„ุฃู†ู‡ ุจูŠุชู… ุชุญุฏูŠุฏู‡ ู‚ุจู„ ุนู…ู„ูŠุฉ ุงู„ู€
1890
+
1891
+ 473
1892
+ 00:36:54,850 --> 00:37:01,990
1893
+ run ุงู„ู€ simulation ุฃุซู†ุงุก ุงู„ู€ compilation
1894
+
1895
+ 474
1896
+ 00:37:01,990 --> 00:37:09,330
1897
+ ู„ูƒู† ุงู„ู€ dynamic ู‡ุฐู‡ ุชูƒุชุดู ูู‚ุท ุจุนุฏ ุงู„ู€ compilation
1898
+
1899
+ 475
1900
+ 00:37:09,330 --> 00:37:13,450
1901
+ ุฃุซู†ุงุก ุงู„ู€ simulation ูŠุนู†ูŠ
1902
+
1903
+ 476
1904
+ 00:37:13,450 --> 00:37:17,590
1905
+ ู…ุซู„ุง ู…ู…ูƒู† ุชูƒูˆู† ุนุงู…ู„ assignment statement ูˆู…ุจูŠู†ุฉ
1906
+
1907
+ 477
1908
+ 00:37:17,590 --> 00:37:25,150
1909
+ ุณู„ูŠู…ุฉ ุงู„ุทุฑููŠู† the same type ู„ูƒู†
1910
+
1911
+ 478
1912
+ 00:37:25,150 --> 00:37:30,310
1913
+ ุนุงู…ู„ูƒ ุฃุซู†ุงุก assimilation ุญุณุจ ุญุณุจุฉ ู„ุงุฌุฆ ุฅู†ูƒ ุชุญุท ู‚ูŠู…ุฉ
1914
+
1915
+ 479
1916
+ 00:37:30,310 --> 00:37:34,750
1917
+ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ outside ุงู„ู€ range ุงู„ู…ุณู…ูˆุญ ููŠ ุงู„ู€ data
1918
+
1919
+ 480
1920
+ 00:37:34,750 --> 00:37:40,510
1921
+ type ู‡ุฐุง ูƒู…ุงู† ู…ุด ู‚ู„ู†ุง ุงู„ู€ data type ุจุชุญุฏุฏ ุนุฏุฏ ุฅูŠุด
1922
+
1923
+ 481
1924
+ 00:37:40,510 --> 00:37:42,490
1925
+ ู‡ูŠ ุงู„ู‚ูŠู… ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุงุฎุฏู‡ุง ูˆุฅูŠุด ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ
1926
+
1927
+ 482
1928
+ 00:37:42,490 --> 00:37:47,630
1929
+ ุจุชู†ุนู…ู„ ุนู„ูŠู‡ ู…ุด ู‡ูŠูƒ ูู„ู…ุง ู‡ูˆ ุฃุซู†ุงุก ุงู„ู€ running ุนู…ู„
1930
+
1931
+ 483
1932
+ 00:37:47,630 --> 00:37:53,070
1933
+ statement assignment ูƒุฐุง ุจูŠุณูˆูŠ ูˆูƒุฐุง ุทู„ุนุช ู‚ูŠู…ุฉ ุฃุฌุฑ
1934
+
1935
+ 484
1936
+ 00:37:53,070 --> 00:37:56,170
1937
+ ุงู„ู€ simulator ุจุชุทู„ุน ุนู„ูŠู‡ุง ู„ุฌู‡ุฉ ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ู…ุด ููŠ ุงู„ู€
1938
+
1939
+ 485
1940
+ 00:37:56,170 --> 00:37:59,670
1941
+ range of values ุงู„ู„ูŠ ู…ู…ูƒู† ุชุญุท ููŠ ุงู„ุณุฌู† ุงู„ู„ูŠ ู†ุงุญูŠุฉ
1942
+
1943
+ 486
1944
+ 00:37:59,670 --> 00:38:05,310
1945
+ ุงู„ุดู…ุงู„ ู‡ุฐุง ุจูŠุณู…ูˆู‡ dynamic semantic edge error ุฏู‡
1946
+
1947
+ 487
1948
+ 00:38:05,310 --> 00:38:09,330
1949
+ ุจูŠุฏูŠู„ูƒ ุฃุฑูˆุญ ุนู„ู‰ ุทูˆู„ ุชุฑูˆุญ ุฃู†ุช ู…ุตุญู‘ุญ ูˆุชุจู‘ุงู„ูƒ ูˆุชุดูˆู
1950
+
1951
+ 488
1952
+ 00:38:09,330 --> 00:38:12,910
1953
+ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ู„ูŠุด ุทู„ุนุช ุงู„ู‚ูŠู…ุฉ ุฏู‡ outside of range ูˆ
1954
+
1955
+ 489
1956
+ 00:38:12,910 --> 00:38:18,810
1957
+ ุชุนู…ู„ compilation ูˆ simulation ู…ู† ุฃูˆู„ ูˆุฌุฏูŠุฏ ุฅุฐุง
1958
+
1959
+ 490
1960
+ 00:38:18,810 --> 00:38:24,070
1961
+ ุฃู†ุช ุงู„ู€ staticุงู„ู€ syntax ูˆุงู„ู€ static semantic
1962
+
1963
+ 491
1964
+ 00:38:24,070 --> 00:38:28,310
1965
+ ุจูŠุทู„ุนูˆุง ุจุงู„ู€ compilation ู„ูƒู† ุงู„ู€ dynamic ุจูŠุทู„ุน ุจุงู„ู€
1966
+
1967
+ 492
1968
+ 00:38:28,310 --> 00:38:43,890
1969
+ simulation ุจุฐู„ูƒ
1970
+
1971
+ 493
1972
+ 00:38:43,890 --> 00:38:48,750
1973
+ ู‡ุชุณุชุฎุฏู… ุงู„ู€ simulator ุจุดูƒู„ ูƒุจูŠุฑ ููŠ ุงู„ู€ development ูˆ
1974
+
1975
+ 494
1976
+ 00:38:48,750 --> 00:38:52,380
1977
+ ุงู„ู€ verification ูˆุงู„ู€ debugging ู‡ูŠุณุชุฎุฏู… simulator
1978
+
1979
+ 495
1980
+ 00:38:52,380 --> 00:38:59,540
1981
+ verification ุฅูŠุด ุงู„ู€ verification ุงู„ู€ verification
1982
+
1983
+ 496
1984
+ 00:38:59,540 --> 00:39:02,940
1985
+ ุนุจุงุฑุฉ ุนู† ุงู„ู€ process ุฃู†ุช ููŠู‡ุง ุจุชุชุฃูƒุฏ ู…ู† ุตุญุฉ ุงู„ู€
1986
+
1987
+ 497
1988
+ 00:39:02,940 --> 00:39:07,960
1989
+ design ุชู…ุงู… ู‡ู„ ู‡ูˆ ุจูŠููŠ ุจุงู„ู€ functional ูˆุงู„ู€ time
1990
+
1991
+ 498
1992
+ 00:39:07,960 --> 00:39:13,320
1993
+ requirements ุงู„ู„ูŠ ุฅุญู†ุง ูƒุชุจู†ุงู‡ู… specifications ู‚ุจู„
1994
+
1995
+ 499
1996
+ 00:39:13,320 --> 00:39:17,560
1997
+ ู…ุง ุฃู†ุง ุฃุจุฑู…ุฌ ุฅูŠู‡ ููŠ ุงู„ู€ PLD ุจูŠุณู…ูˆู‡ุง ุฏู‡ ุฅูŠู‡
1998
+
1999
+ 500
2000
+ 00:39:17,560 --> 00:39:22,000
2001
+ verification ู…ุด ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ functional requirements
2002
+
2003
+ 501
2004
+ 00:39:22,000 --> 00:39:25,700
2005
+ ู…ุซู„ุง ุจุฏูŠ ุฃุนู…ู„ ุงู„ู€ half adder ุฏู‡ ุงู„ู…ูุฑูˆุถ ุฅู† ูŠุฌู…ุน ู‡ู„ ูุนู„ุง
2006
+
2007
+ 502
2008
+ 00:39:25,700 --> 00:39:29,700
2009
+ ุฌู…ุน ุชู…ุงู… ุฒูŠ ู…ุง ุจุฏูŠ ุจุชุทู„ุน ุงู„ู€ sum ู…ุธุจูˆุท ูˆุงู„ู€ carry
2010
+
2011
+ 503
2012
+ 00:39:29,700 --> 00:39:34,520
2013
+ ู…ุธุจูˆุท ู„ูƒู„ ุงู„ุงุญุชู…ุงู„ุงุช ู‡ู„ ูˆู ุจุงู„ู€ timing requirements
2014
+
2015
+ 504
2016
+ 00:39:34,520 --> 00:39:38,720
2017
+ ุงู„ู„ูŠ ุฃู†ุง ุญุฏุฏุชู‡ุง ุชู…ุงู… ู‡ุฐุง ุงู„ูุญูˆุตุงุช ู‡ุฐูŠ ุจูŠุณู…ูˆู‡ุง ุฅูŠุด
2018
+
2019
+ 505
2020
+ 00:39:38,720 --> 00:39:45,360
2021
+ verification ุฌุงุจู„ ู…ุง ุชุญุทู‡ ููŠ ุงู„ู€ PLD ุชู…ุงู…ุง ู‡ุฐุง ูƒู„ู‡
2022
+
2023
+ 506
2024
+ 00:39:45,360 --> 00:39:48,820
2025
+ ู…ู†ุนู…ู„ ุฎู„ุงู„ ู…ูŠู†ุŸ ุฎู„ุงู„ ุงู„ู„ูŠ ู‡ูˆ simulation ุจุญูŠุซ ู„ูˆ ููŠ
2026
+
2027
+ 507
2028
+ 00:39:48,820 --> 00:39:51,880
2029
+ ุฃูŠ errors ู„ูˆ ููŠ function errors ู„ูˆ ููŠ ููŠ ุงู„ู€ timing
2030
+
2031
+ 508
2032
+ 00:39:51,880 --> 00:39:54,940
2033
+ ููŠ ุฅูŠุด ู…ุด ู…ุธุจูˆุท ุจุชุนูŠุฏ ๏ฟฝ๏ฟฝู„ู„ูŠ ู‡ูˆ ุงู„ู€ design ูˆุจุชุธุจุท
2034
+
2035
+ 509
2036
+ 00:39:54,940 --> 00:40:03,980
2037
+ ุจุงู„ุตุญ ุงู„ู€ issue ูˆุจุชุดูˆู ุฃูˆู„ ุฌุฏูŠุฏ ุทุจุนุง okay ุทุจุนุง
2038
+
2039
+ 510
2040
+ 00:40:03,980 --> 00:40:08,900
2041
+ ุจุฏู†ุง ู…ุฌู‡ูˆุฏ ุฎู„ูŠ ุจุงู„ูƒ ูŠุนู†ูŠ ู…ุง ุชุญุงูˆู„ุด ู„ูˆ ุฃู†ุช ุนู†ุฏูƒ ูุงู†
2042
+
2043
+ 511
2044
+ 00:40:08,900 --> 00:40:12,560
2045
+ ุงู„ู€ PLD ุฃูˆ ุงู„ู€ FGA ุฅู†ูƒ ู…ู† ุฃูˆู„ ู…ุฑุฉ ุฅู†ูƒ ู…ู† ุบูŠุฑ
2046
+
2047
+ 512
2048
+ 00:40:12,560 --> 00:40:15,760
2049
+ simulation ุฅู†ูƒ ุช .. ุชุญุท ุงู„ู€ design ุจุงู„ู€ PLD ุจุชุถูŠุน
2050
+
2051
+ 513
2052
+ 00:40:15,760 --> 00:40:18,840
2053
+ ูˆู‚ุช ุนู„ู‰ ุงู„ูุงุถูŠ ู„ุฃู†ู‘ู‡ ุฅุดูŠ ุทุจูŠุนูŠ ุฅุญู†ุง ู‚ู„ู†ุง ูƒุจุงุฑ
2054
+
2055
+ 514
2056
+ 00:40:18,840 --> 00:40:21,100
2057
+ ุงู„ุฃุฏู…ูŠู† ุฅู†ู‘ ุงู„ู€ design ุจุงู„ุฐุงุช ู„ู…ุง ูŠูƒูˆู† ูƒุจูŠุฑ ูŠูƒูˆู†
2058
+
2059
+ 515
2060
+ 00:40:21,100 --> 00:40:23,820
2061
+ ููŠู‡ some errors ู…ุดุงูƒู„ ูˆู„ุง ููŠู‡ some bugs ุงู„ู€
2062
+
2063
+ 516
2064
+ 00:40:23,820 --> 00:40:26,340
2065
+ simulation ุจูŠูˆูู‘ุฑ ุนู„ูŠูƒ ู…ุตุงุฑูŠ ูˆูˆู‚ุช ูƒุชูŠุฑ ุจุชุนุงู„ุฌ
2066
+
2067
+ 517
2068
+ 00:40:26,340 --> 00:40:29,520
2069
+ ุฅูŠุงู‡ุง ุจุนุฏ ู…ุง ุชุตุญู‘ุญ ูˆุชุชุฃูƒุฏ ุฅู†ู‘ ุงู„ู€ issue is free of
2070
+
2071
+ 518
2072
+ 00:40:29,520 --> 00:40:37,030
2073
+ errors ุชู…ุงู…ุง ุจุชุญุทู‡ุง ุจุงู„ู€ PLD ุฅุฐุง ุจุฏูƒ ุชู…ุงู…ุŸ ู„ูˆ ุฑุฌุนุช
2074
+
2075
+ 519
2076
+ 00:40:37,030 --> 00:40:40,610
2077
+ ู„ู„ู€ figure ุงู„ู„ูŠ ุดูˆูู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ููŠ ุขุฎุฑ
2078
+
2079
+ 520
2080
+ 00:40:40,610 --> 00:40:43,230
2081
+ ุงู„ู…ุญุงุถุฑุฉ ูƒุงู† ููŠู‡ figure ุฅุฐุง ููƒุฑู‘ูŠ ุงู„ู…ุดุงูƒู„ ูˆุงู„ุฃุฏุงุก
2082
+
2083
+ 521
2084
+ 00:40:43,230 --> 00:40:51,630
2085
+ ุงู„ู„ูŠ ู„ูƒู„ ุนู…ู„ูŠุฉ ุงู„ู€ design ู‡ุชู„ุงู‚ูŠ ููŠู‡ ุชู„ุช ู…ุฑุงุญู„ ุชู„ุช
2086
+
2087
+ 522
2088
+ 00:40:51,630 --> 00:40:57,010
2089
+ phases ุจู†ุณุชุฎุฏู… ููŠู‡ู… ุงู„ู€ simulation ูˆูƒู„ ู…ุฑุญู„ุฉ ู„ู‡ุง
2090
+
2091
+ 523
2092
+ 00:40:57,010 --> 00:41:01,590
2093
+ ุบุฑุถ ู…ุนูŠู‘ู† ูˆุจุชุณุชุฎุฏู… model ู…ุนูŠู‘ู† ุฃูˆ description ู…ุนูŠู‘ู†
2094
+
2095
+ 524
2096
+ 00:41:01,590 --> 00:41:06,720
2097
+ ุจุงู„ู€ VHDL for the same design entity ู„ูˆ ุฑูˆุญุช ู„ู„ู€
2098
+
2099
+ 525
2100
+ 00:41:06,720 --> 00:41:10,640
2101
+ figure ุฅุฐุง ูุงูƒุฑูŠู†ู‡ ูƒุงู† figure ู…ูƒูˆู‘ู† ู…ู† ูƒุฐุง group
2102
+
2103
+ 526
2104
+ 00:41:10,640 --> 00:41:19,520
2105
+ ูˆู‚ุณู… ุฅู„ู‰ columns ุชุฑุฌุน ู‡ู†ุง ุชุฑุฌุน ู„ูƒ ู…ุซู„ุง figure ู‡ุงุฏ
2106
+
2107
+ 527
2108
+ 00:41:19,520 --> 00:41:25,300
2109
+ ุดุงูŠููŠู† ู„ุญุฏ ุงู„ุขู† ุฅุญู†ุง ุฎู„ู‘ุตู†ุง ุฃูŠ ู…ุฑุญู„ุฉ ุนู…ู„ู†ุง ุงู„ู€
2110
+
2111
+ 528
2112
+ 00:41:25,300 --> 00:41:28,360
2113
+ requirements ูˆุนู…ู„ู†ุง ุงู„ู€ specifications ูˆูƒุชุจู†ุง ุงู„ู€
2114
+
2115
+ 529
2116
+ 00:41:28,360 --> 00:41:32,260
2117
+ code ูˆุนู…ู„ู†ุง ุงู„ู€ compilation ุชู…ุงู… ู‡ู„ ุฌุจู†ุง ู†ุชูƒู„ู‘ู… ุนู„ู‰
2118
+
2119
+ 530
2120
+ 00:41:32,260 --> 00:41:36,600
2121
+ ุงู„ู€ verification ูˆุงู„ุดุบู„ุงุช ู‡ุงุฏุฉ ุชู„ุงุญุธ ุงู„ู„ูŠ ู‡ูŠ ุนู†ุฏูƒ
2122
+
2123
+ 531
2124
+ 00:41:36,600 --> 00:41:39,280
2125
+ ูƒุงู… simulation ุงู„ู„ูŠ ู…ูƒุชูˆุจ .. ุงู„ู„ูŠ ู…ุนู…ูˆู„ ุจุงู„ุฑู…ุงุฏูŠ
2126
+
2127
+ 532
2128
+ 00:41:39,280 --> 00:41:42,340
2129
+ ู‡ุฐุง functional simulation ูˆููŠ .. ูˆููŠ post
2130
+
2131
+ 533
2132
+ 00:41:42,340 --> 00:41:47,220
2133
+ synthesis simulation ูˆููŠ timing simulation ูƒู…ุงู†
2134
+
2135
+ 534
2136
+ 00:41:47,220 --> 00:41:50,140
2137
+ ู‡ุฐุง ููŠ ุงู„ุขุฎุฑ ู…ุด simulation ู‡ุฐุง ุจูŠูุญุต ู†ูุณ ุงู„ู€ PLD
2138
+
2139
+ 535
2140
+ 00:41:50,140 --> 00:41:53,800
2141
+ ุจุนุฏ ู…ุง ูŠุจุฑู…ุฌู‡ุง ู…ุนู†ุงุชู‡ ู…ูŠู† ุงู„ู„ูŠ ููŠ ูƒุงู… type of
2142
+
2143
+ 536
2144
+ 00:41:53,800 --> 00:41:57,820
2145
+ simulations ุชู„ุงุชุฉ functional ูˆpost synthesis ูˆููŠ
2146
+
2147
+ 537
2148
+ 00:41:57,820 --> 00:42:01,280
2149
+ ุฅูŠุด ูˆููŠ timing ุงู„ู„ูŠ ู‡ูˆ simulation ู…ุนู†ุงุชู‡ ุฅุญู†ุง
2150
+
2151
+ 538
2152
+ 00:42:01,280 --> 00:42:03,220
2153
+ ุญุงู„ูŠุง ุดุบุงู„ูŠู† ููŠ ุฅูŠู‡ .. ููŠ ุฅูŠู‡ group ููŠ ุงู„ู€ group ู‡ุฐู‡
2154
+
2155
+ 539
2156
+ 00:42:03,220 --> 00:42:08,560
2157
+ ุดุบุงู„ูŠู† ู‡ู†ุง ุชู…ุงู… ุงู„ู„ูŠ ู‡ูŠ Develop Modification Plan ูˆ
2158
+
2159
+ 540
2160
+ 00:42:08,560 --> 00:42:11,220
2161
+ Write ุงู„ู€ VHDL Test Bench ูˆCompile ุงู„ู€ Test Bench ูˆ
2162
+
2163
+ 541
2164
+ 00:42:11,220 --> 00:42:12,720
2165
+ ุจุนุฏูŠู† Function Simulation
2166
+
2167
+ 542
2168
+ 00:42:37,890 --> 00:42:43,590
2169
+ functional simulation ุจุงู„ู€
2170
+
2171
+ 543
2172
+ 00:42:43,590 --> 00:42:46,390
2173
+ functional simulation you simulate ุงู„ู€ design
2174
+
2175
+ 544
2176
+ 00:42:46,390 --> 00:42:51,170
2177
+ description ุงู„ู„ูŠ ูƒุชุจุชู‡ ุฃู†ุช ุจุงู„ู€ VHDL ูŠุนู†ูŠ ุงู„ู€ input
2178
+
2179
+ 545
2180
+ 00:42:51,170 --> 00:42:54,210
2181
+ ุชุจุน ุงู„ู€ function simulator ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„ู€ VHDL ุงู„ู€
2182
+
2183
+ 546
2184
+ 00:42:54,210 --> 00:42:57,590
2185
+ code ุงู„ู„ูŠ ูƒุชุจุชู‡ ุงู„ู€ source code ุงู„ู„ูŠ ูƒุชุจุชู‡ ู‡ุฐุง ุฅูŠุด
2186
+
2187
+ 547
2188
+ 00:42:57,590 --> 00:43:02,310
2189
+ ูˆุธูŠูุชู‡ ุจุชุฃูƒุฏ ุฅู†ู‘ ุงู„ู€ design ุจูŠููŠ ุจุงู„ู€ function
2190
+
2191
+ 548
2192
+ 00:43:02,310 --> 00:43:08,300
2193
+ requirements ุงู„ู„ูŠ ุฃู†ุช ุนู…ู„ุชู‡ ูŠุนู†ูŠ ุฅู†ู‘ู‡ ุจูŠุฌู…ุน ู…ุซู„ุง ุฃูˆ
2194
+
2195
+ 549
2196
+ 00:43:08,300 --> 00:43:10,840
2197
+ ู„ูˆ ูƒุงู†ุช ุจูŠุถุฑุจ ุจูŠุถุฑุจ ุงู„ุฑู‚ู…ูŠู† ุฒูŠ ู…ุง ุจุฏูƒ ุฃูˆ ุจูŠุฌุณู‘ู…
2198
+
2199
+ 550
2200
+ 00:43:10,840 --> 00:43:14,440
2201
+ ุจูŠุนู…ู„ ู„ูƒ ุงู„ู€ ุฅุดูŠ ุงู„ู€ ุฅุดูŠ ุจุชุฃูƒุฏ ู…ู† ุงู„ู€ functionality ู„ูƒู†
2202
+
2203
+ 551
2204
+ 00:43:14,440 --> 00:43:17,860
2205
+ ุจูŠุนู…ู„ุด testing ุนู„ู‰ ุงู„ู€ timing ุจุชุฃูƒุฏุด ู…ู† ุงู„ู€ ุฅุดูŠ ุจุณ ู…ู†
2206
+
2207
+ 552
2208
+ 00:43:17,860 --> 00:43:18,960
2209
+ ุงู„ู€ functionality ู‡ุงูŠ ุงู„ู„ูŠ ุจูŠู‚ุฏุฑ ุงู„ูˆุธุงุฆู ุงู„ู„ูŠ
2210
+
2211
+ 553
2212
+ 00:43:18,960 --> 00:43:22,860
2213
+ ุงู„ู…ุทู„ูˆุจุฉ ูˆู„ุง ู„ุง ุณูˆุงุก ุจูŠุถุฑุจ ุฑู‚ู…ูŠู† ููŠ ุจุนุถ ุจูŠุฌู…ุน
2214
+
2215
+ 554
2216
+ 00:43:22,860 --> 00:43:26,280
2217
+ ุจูŠุนู…ู„ ุฃูŠ ุฅุดูŠ ุจุชุฃูƒุฏ ู…ู† ุงู„ูˆุธุงุฆู ุงู„ู„ูŠ ุฃู†ุช ุญุฏุฏุชู‡ุง ุจุงู„ู€
2218
+
2219
+ 555
2220
+ 00:43:26,280 --> 00:43:30,040
2221
+ requirements ูˆุงู„ู€ simplification ุงู„ู€ force
2222
+
2223
+ 556
2224
+ 00:43:30,040 --> 00:43:34,810
2225
+ synthesis gate level simulation ุฅูŠุด ุจูŠุณูˆูŠู‡ ู…ุด ู‚ู„ู†ุง
2226
+
2227
+ 557
2228
+ 00:43:34,810 --> 00:43:39,910
2229
+ ููŠู‡ synthesizer ุจูŠุญูˆู‘ู„ ุงู„ู€ description ุฅู„ู‰ gates ู‡ุฐุง
2230
+
2231
+ 558
2232
+ 00:43:39,910 --> 00:43:46,670
2233
+ ูˆุธูŠูุชู‡ ูˆุจูŠุทู„ุน ู…ู†ู‡ model ุจูŠุณู…ู‘ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ VHDL
2234
+
2235
+ 559
2236
+ 00:43:46,670 --> 00:43:50,130
2237
+ netlist ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† get level description ู„ู„ู€
2238
+
2239
+ 560
2240
+ 00:43:50,130 --> 00:43:54,710
2241
+ model ุชุจุนูƒ ุงู„ู€ synthesizer ุฅูŠุด ุงู„ู€ input ุชุจุนู‡ ุงู„ู„ูŠ
2242
+
2243
+ 561
2244
+ 00:43:54,710 --> 00:43:58,410
2245
+ ู‡ูˆ ุงู„ู€ source code ุงู„ู„ูŠ ุฃู†ุช ูƒุชุจุชู‡ ุชู…ุงู…ุŒ ุฅูŠุด ุงู„ู€
2246
+
2247
+ 562
2248
+ 00:43:58,410 --> 00:44:01,390
2249
+ output ุชุจุนู‡ ุจูŠุฏูŠู„ูƒ netlist ูŠุนู†ูŠ file ุนู„ู‰ ููƒุฑุฉ
2250
+
2251
+ 563
2252
+ 00:44:01,390 --> 00:44:05,070
2253
+ ุจูŠุณู…ูˆู‡ netlist equations ุจุชูƒูˆู† ููŠู‡ gate level
2254
+
2255
+ 564
2256
+ 00:44:05,070 --> 00:44:09,970
2257
+ description ู„ู„ู€ logic ุงู„ู„ูŠ ู„ุงุฒู… ุชู…ุงู…ุŒ ูˆู„ุง gate
2258
+
2259
+ 565
2260
+ 00:44:09,970 --> 00:44:13,950
2261
+ level ุฅูŠุด descriptionุŒ it's related by ู…ูŠู†ุŸ ู‚ูˆู„ู†ุง by
2262
+
2263
+ 566
2264
+ 00:44:13,950 --> 00:44:23,170
2265
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ SynthesizerุŒ ูุฅูŠุด
2266
+
2267
+ 567
2268
+ 00:44:23,170 --> 00:44:28,590
2269
+ ุจูŠุณูˆูŠ ุงู„ู€ post synthesis gate level simulation ุจุฑุถู‡
2270
+
2271
+ 568
2272
+ 00:44:28,590 --> 00:44:31,710
2273
+ ุจูŠุนู…ู„ testing ุนู„ู‰ ุงู„ู€ functionality ู…ุด ุนู„ู‰ ุงู„ู€
2274
+
2275
+ 569
2276
+ 00:44:31,710 --> 00:44:36,710
2277
+ timing ุจุฑุถู‡ุŒ ู„ูƒู† ุจูŠุนู…ู„ testing ุนู„ู‰ ุงู„ู€ functionality
2278
+
2279
+ 570
2280
+ 00:44:36,710 --> 00:44:42,170
2281
+ ุนู„ู‰ ุงู„ู€ guess ู†ูุณู‡ุง ุงู„ู„ูŠ ุทู„ุนุช ุนู„ู‰ ุงู„ู€ netlist file
2282
+
2283
+ 571
2284
+ 00:44:42,170 --> 00:44:46,730
2285
+ ูŠู‚ูˆู„ ุฅู† ู‡ุฐุง gate level description ุฏู‡ design ู…ุนุฏู„ุงุช
2286
+
2287
+ 572
2288
+ 00:44:46,730 --> 00:44:50,150
2289
+ ุฃู…ุงู…ุŒ okayุŒ gate level description ูƒู„ ู…ุนุงุฏู„ุฉ ู…ู…ูƒู†
2290
+
2291
+ 573
2292
+ 00:44:50,150 --> 00:44:54,270
2293
+ ุชุญุชุงุฌ ุฅู„ู‰ gate to be implemented ุฃู…ุงู…ุŒ ูุจูŠุณุชุฎุฏู… ุงู„ู€
2294
+
2295
+ 574
2296
+ 00:44:54,270 --> 00:44:57,670
2297
+ level ู‡ุฐุง ุงู„ู€ modelุŒ ู‡ุฐุง ุงู„ู„ูŠ ุทู„ุน ู…ู† ุงู„ุณูŠู†ุซุณุงูŠุฒุฑ ูƒู€ input
2298
+
2299
+ 575
2300
+ 00:44:57,670 --> 00:45:01,070
2301
+ ุนุดุงู† ูŠุนู…ู„ simulation ูˆูŠุชุฃูƒุฏ ุฅู†ู‡ ูุนู„ุงู‹ ุจุฏูŠู‡ ู†ู‚ุงุด ุงู„ู€
2302
+
2303
+ 576
2304
+ 00:45:01,070 --> 00:45:06,620
2305
+ function ุงู„ู…ุทู„ูˆุจุฉุŒ ุจุฑุถู‡ ู…ุด ุฎุงุดุด ู„ุญุชู‰ ุงู„ู€ unmean ุงู„ู„ูŠ
2306
+
2307
+ 577
2308
+ 00:45:06,620 --> 00:45:11,080
2309
+ ู‡ูˆ ุงู„ู€ timing ูŠุนู†ูŠ ุงู„ู€ level ุงู„ู„ูŠ ุฌุงุจู„ู‡ ู…ุด ุดุบุงู„ ุนู„ู‰
2310
+
2311
+ 578
2312
+ 00:45:11,080 --> 00:45:12,900
2313
+ ุงู„ู€ gate levelุŒ ุดุบุงู„ ุนู„ู‰ ุงู„ู€ source code ุนู„ู‰ ุทูˆู„
2314
+
2315
+ 579
2316
+ 00:45:12,900 --> 00:45:16,860
2317
+ ูƒู…ุนุงุฏู„ุงุช ูŠุนู†ูŠ ู…ุซู„ุงู‹ and orุŒ ุจูŠ ุงู„ู€ or ูƒู€ ูŠุนู†ูŠ ูƒู€
2318
+
2319
+ 580
2320
+ 00:45:16,860 --> 00:45:20,280
2321
+ operatorุŒ ูƒู€ logical operator ูˆู…ุด ุฏุงุฎู„ ูƒูŠู how it
2322
+
2323
+ 581
2324
+ 00:45:20,280 --> 00:45:23,180
2325
+ will be implemented ุชู…ูˆู‘ู„ุŒ ู„ูƒู† ู„ุฃ ุงู„ู€ gate ููŠ ุงู„ู€
2326
+
2327
+ 582
2328
+ 00:45:23,180 --> 00:45:26,900
2329
+ level ุงู„ุชุงู†ูŠ ุตุงุฑ ุทุงู„ุน ู…ุญุฏุฏ gates ุทุจ ู…ุง ู‡ูˆ ู„ุฃ ูู€ it
2330
+
2331
+ 583
2332
+ 00:45:26,900 --> 00:45:29,080
2333
+ applies ุงู„ุดูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ testing ูˆุงู„ููƒุงุดุฉ
2334
+
2335
+ 584
2336
+ 00:45:29,080 --> 00:45:31,820
2337
+ ุงู„ุนุงู„ู…ูŠุฉ ุนู„ู‰ ุงู„ู€ gate level ู‡ุฐุง ุงู„ูุฆุฉ ู‡ุชุฏูŠู„ ุงู„ู…ุทู„ูˆุจ ู„ู…ุด
2338
+
2339
+ 585
2340
+ 00:45:31,820 --> 00:45:34,000
2341
+ ุญุฏุฏ ุงู„ ุงู„ุดูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุทู„ูˆุจ ู‡ุฐุง ุจูŠุณู…ูˆู‡ post
2342
+
2343
+ 586
2344
+ 00:45:34,000 --> 00:45:36,660
2345
+ synthesis ุงู„ู„ูŠ ู‡ูˆ simulation ู„ุฃู†ู‡ ุจู†ุนู…ู„ ุจุนุฏ ุงู„ู„ูŠ
2346
+
2347
+ 587
2348
+ 00:45:36,660 --> 00:45:41,360
2349
+ ู‡ูˆ ู…ูŠู†ุŸ ุจุชุนู…ู„ synthesis ุชุฎู„ูŠู‚ุŒ ุชุญูˆู„ ุงู„ู…ุนุงุฏู„ุงุช ูŠุนู†ูŠ
2350
+
2351
+ 588
2352
+ 00:45:41,360 --> 00:45:44,680
2353
+ its design description ุฅู„ู‰ ุฅูŠู‡ุŸ ุฅู„ู‰ .. ุฅู„ู‰ gate level
2354
+
2355
+ 589
2356
+ 00:45:44,680 --> 00:45:52,960
2357
+ ุจุงู„ู€ descriptionุŒ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ุจูŠุณู…ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ timing
2358
+
2359
+ 590
2360
+ 00:45:52,960 --> 00:45:55,000
2361
+ post route simulation
2362
+
2363
+ 591
2364
+ 00:46:05,300 --> 00:46:10,160
2365
+ ู…ุด ู‚ูˆู„ู†ุง ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ gate .. ุงู„ู€ gates ู„ูŠู‡ ุจุงู„ู€
2366
+
2367
+ 592
2368
+ 00:46:10,160 --> 00:46:13,940
2369
+ description ุงู„ู„ูŠ ุทู„ุน ู…ู† ุงู„ุชุญุฐูŠุฑ ู…ุด ู‡ูˆ ุงู„ู„ูŠ ุนู„ู‰ ..
2370
+
2371
+ 593
2372
+ 00:46:13,940 --> 00:46:19,600
2373
+ ุงู„ู„ูŠ ุจู†ุญุท ุนู„ู‰ ุทูˆู„ ููŠ ุงู„ู€ PLDุŒ ุจูŠู‚ูˆู„ู†ุง ุงู„ู…ุฑุฉ ุงู„ูุงุชุช
2374
+
2375
+ 594
2376
+ 00:46:19,600 --> 00:46:23,230
2377
+ ุจูŠู‚ูˆู„ูˆุง ุนู„ู‰ ู…ุฑุญู„ุฉ ุงุณู…ู‡ุง place and route tool ุจูŠู‚ูˆู„
2378
+
2379
+ 595
2380
+ 00:46:23,230 --> 00:46:27,250
2381
+ ุฃูˆูƒูŠุŒ ู‡ู†ุง ุทู„ุน ุจุฏู‡ and gateุŒ ุทุจ ู…ุงุดูŠ ุจูŠุฌูŠ ุจูŠุดูˆู ุทุจ ุฅูŠุด ุงู„ู€
2382
+
2383
+ 596
2384
+ 00:46:27,250 --> 00:46:30,390
2385
+ PLD ุงู„ู„ูŠ ุงุฎุชุงุฑู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ developer ุจูŠู„ุงู‚ูŠ
2386
+
2387
+ 597
2388
+ 00:46:30,390 --> 00:46:33,630
2389
+ ุงุฎุชุงุฑ PLDุŒ ููŠุด ููŠู‡ and gateุŸ ููŠู‡ุง and ูˆ nor ูˆ ูƒุฐุง
2390
+
2391
+ 598
2392
+ 00:46:33,630 --> 00:46:36,490
2393
+ ูˆุดุบู„ุงู†ุฉ ูˆุจูŠุดูˆู ุฅูŠุด ุงู„ู€ equivalent ุงู„ู„ูŠ ุนู…ู„ู‡ุŒ ุฅูŠุด ุงู„ู€
2394
+
2395
+ 599
2396
+ 00:46:36,490 --> 00:46:39,910
2397
+ and gate ู…ู† ุงู„ู€ mapping ุชู…ุงู…ุŸ ู…ู† ุงู„ู€ gates ุงู„ู„ูŠ ุทู„ุนุช
2398
+
2399
+ 600
2400
+ 00:46:39,910 --> 00:46:43,870
2401
+ ู…ู† ุงู„ุณูŠู†ุซุณุงูŠุฒุฑ ู„ู„ู€ gates ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ููŠ ุงู„ู€ PLD ูŠู…ูƒู†
2402
+
2403
+ 601
2404
+ 00:46:43,870 --> 00:46:46,490
2405
+ ูŠุถุทุฑ ูŠุนู…ู„ ุงู„ู€ nand gate ู…ุซู„ุงู‹ ุจู€ two level ู…ุซู„ุงู‹ ุงู„ู„ูŠ ู‡ูˆ
2406
+
2407
+ 602
2408
+ 00:46:46,490 --> 00:46:49,590
2409
+ nand gates ููŠ ุงู„ุฃูˆู„ ุงุชู†ูŠู† nand gates ูˆุจุนุฏูŠู† ููŠ ุงู„ู€
2410
+
2411
+ 603
2412
+ 00:46:49,590 --> 00:46:51,910
2413
+ level ุงู„ุฃุฎูŠุฑ ูˆุฌุณุช one gate ูˆุงู„ุชุงู„ูŠ ุตุงุฑ ุทู„ุนุช ุงู„ู€
2414
+
2415
+ 604
2416
+ 00:46:51,910 --> 00:46:57,150
2417
+ nand gate ู…ุซู„ุงู‹ุŒ okay ูˆุจูŠุนู…ู„ ูƒู…ุงู† ุจูŠุทู„ุน ุงู„ู€ timing ุงู„ู€
2418
+
2419
+ 605
2420
+ 00:46:57,150 --> 00:46:59,110
2421
+ place and route ุจูŠุทู„ุน ุงู„ู€ timing model
2422
+
2423
+ 606
2424
+ 00:47:03,370 --> 00:47:08,990
2425
+ timing model ูŠุนู†ูŠ description ู„ู„ู€ design ุฃุฎุฐุง ููŠ
2426
+
2427
+ 607
2428
+ 00:47:08,990 --> 00:47:11,930
2429
+ ุงู„ุงุนุชุจุงุฑ ุงู„ู€ timing constraints ุงู„ู„ูŠ ุฃู†ุช ุญุงุทูŠุชู‡ุง ููŠ
2430
+
2431
+ 608
2432
+ 00:47:11,930 --> 00:47:14,510
2433
+ ุงู„ู€ specificationsุŒ ููƒูŠุฑ ู…ุด ู‚ูˆู„ู†ุง ู…ู…ูƒู† ุฃุญุท timing
2434
+
2435
+ 609
2436
+ 00:47:14,510 --> 00:47:18,170
2437
+ constraints ุชู…ุงู… ูŠุนู†ูŠ ู…ุซู„ุงู‹ ุฃู†ุช ู…ู…ูƒู† ุชุญุท ู„ูŠ
2438
+
2439
+ 610
2440
+ 00:47:18,170 --> 00:47:20,970
2441
+ constraints ูˆุชู‚ูˆู„ู‡ I want to add ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
2442
+
2443
+ 611
2444
+ 00:47:20,970 --> 00:47:26,360
2445
+ result ุชุทู„ุน ู„ูŠ ุจุนุฏ ู…ุซู„ุงู‹ ุนุดุฑ secondุŒ ุทุจ ู…ุง ู‡ูˆ ู„ุฃ ู‚ูˆู„ู†ุง
2446
+
2447
+ 612
2448
+ 00:47:26,360 --> 00:47:29,520
2449
+ ููŠ ุงู„ู…ุฑุญู„ุชูŠู† ููŠ ุงู„ู†ูˆุนูŠู† ุงู„ุฃูˆู„ุงู†ูŠู† ู…ู† ุงู„ู€ simulation
2450
+
2451
+ 613
2452
+ 00:47:29,520 --> 00:47:33,000
2453
+ ูˆ we don't take into consideration ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
2454
+
2455
+ 614
2456
+ 00:47:33,000 --> 00:47:37,040
2457
+ timingุŒ ู…ุด ู‡ูŠูƒ ูˆู„ุงุŸ ูˆููŠ ุงู„ุชุงู„ุช ุจุชุงุฎุฏู‡ ููŠ ุงู„ุงุนุชุจุงุฑ ููŠ
2458
+
2459
+ 615
2460
+ 00:47:37,040 --> 00:47:40,320
2461
+ ุงู„ุชุงู„ุช ุจุชุงุฎุฏู‡ ููŠ ุงู„ุงุนุชุจุงุฑ ุงู„ู€ timingุŒ ุจุชุงุฎุฏ ุงู„ู€
2462
+
2463
+ 616
2464
+ 00:47:40,320 --> 00:47:42,360
2465
+ timing ููŠ ุงู„ุงุนุชุจุงุฑ
2466
+
2467
+ 617
2468
+ 00:47:44,730 --> 00:47:51,050
2469
+ ุชู…ุงู…ุŒ ุจูŠุงุฎุฏ ุจุงู„ุงุนุชุจุงุฑ ูŠุนู†ูŠ ุจูŠุดูˆู ู„ูˆ ู‡ู†ุญุท ู‡ุฐุง logic
2470
+
2471
+ 618
2472
+ 00:47:51,050 --> 00:47:54,790
2473
+ ููŠ ุงู„ู€ PLD ุงู„ูู„ุงู†ูŠุฉ ุงู„ู„ูŠ ุงุชุญุฏุฏุชุŒ ุชู…ุงู… ูˆุนู†ุฏู‡
2474
+
2475
+ 619
2476
+ 00:47:54,790 --> 00:47:57,190
2477
+ ู…ุนู„ูˆู…ุงุช ูˆุชูุงุตูŠู„ ุจูŠูƒูˆู† ุงู„ู€ PLD ููŠ ุงู„ู€
2478
+
2479
+ 620
2480
+ 00:47:57,190 --> 00:48:01,970
2481
+ libraries ู…ูˆุฌูˆุฏุฉุŒ ู‡ู„ ุงู„ู„ูŠ ูˆุงุฎุฏู†ุง ุงู„ู€ specification ุทุงู„ุจ
2482
+
2483
+ 621
2484
+ 00:48:01,970 --> 00:48:05,330
2485
+ delay ูŠูƒูˆู† ุงู„ู€ system maximum ูˆู‡ูˆ ุจูŠูƒูˆู† ุนุงุฑู ู…ู†
2486
+
2487
+ 622
2488
+ 00:48:05,330 --> 00:48:08,310
2489
+ ู†ูˆุนูŠุฉ ุงู„ู€ chip ุงู„ู„ูŠ ุงุฎุชุฑุชู‡ุงุŒ ุงู„ู€ delays ุชุจุนุชู‡ุง ุจุชุงุนุฉ
2490
+
2491
+ 623
2492
+ 00:48:08,310 --> 00:48:11,870
2493
+ ุงู„ู€ gates ูˆุชูุงุตูŠู„ู‡ุงุŒ ู‡ู„ ุงู„ู€ delays ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูุนู„ุงู‹
2494
+
2495
+ 624
2496
+ 00:48:11,870 --> 00:48:16,190
2497
+ ู‡ุชููŠ ุจุงู„ู…ุทู„ูˆุจ ูˆู„ุง ู…ุด ู‡ุชููŠุŸ ู‡ุฐุง ุจูŠุชู… ูˆูŠู†ุŸ ููŠ ุงู„ู€ timing
2498
+
2499
+ 625
2500
+ 00:48:16,190 --> 00:48:22,430
2501
+ simulation ุงู„ู„ูŠ ู‡ูˆ ุจุนุฏ place and route and root ุชู…ุงู…
2502
+
2503
+ 626
2504
+ 00:48:22,430 --> 00:48:26,350
2505
+ ุฅุฐุง ุงู„ู€ input ููŠ ุงู„ู…ุฑุญู„ุฉ ู‡ุฏ ู…ูŠู†ุŸ ู‡ูˆ ุงู„ู€ timing model
2506
+
2507
+ 627
2508
+ 00:48:26,350 --> 00:48:33,490
2509
+ ุงู„ู„ูŠ ุทู„ุน ู…ู† ู…ูŠู†ุŸ ุงู„ู„ูŠ ุทู„ุน ู…ู† place and routeุŒ ู‡ู†ูุตู
2510
+
2511
+ 628
2512
+ 00:48:33,490 --> 00:48:41,810
2513
+ ุดุบู„ุงุช ู‡ุฏ ูƒุชูŠุฑ ุจุนุฏ ูƒุฏู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ุงู„ู€ simulator ุจุฏู‡
2514
+
2515
+ 629
2516
+ 00:48:41,810 --> 00:48:47,600
2517
+ sequence of input values ุจุชุฏูŠู‡ุง ุฃู†ุช ู„ู„ู€ VHDL model
2518
+
2519
+ 630
2520
+ 00:48:47,600 --> 00:48:51,400
2521
+ ุนุดุงู† ูŠุนู…ู„ verification ูŠุนู†ูŠ ู„ุงุฒู… ุชุฏูŠู„ู‡ input ูˆุชุดูˆู
2522
+
2523
+ 631
2524
+ 00:48:51,400 --> 00:48:54,820
2525
+ ุฅูŠุด ุงู„ู€ output ุนุดุงู† ุชุนู…ู„ู‡ verification ู…ุด ู‡ูŠูƒุŸ
2526
+
2527
+ 632
2528
+ 00:48:54,820 --> 00:48:57,540
2529
+ ูˆุฅูŠู‡ ู„ุฃุŸ ูู„ู‚ูŠู€ุช ุงู„ู€ sequence of input ุจู‚ู‰ ูŠุงุฒู…
2530
+
2531
+ 633
2532
+ 00:48:57,540 --> 00:49:11,920
2533
+ ูŠุณู…ูˆู‡ุง stimulus ุจูŠุณู…ูˆู‡ ุฅูŠู‡ุŸ stimulusุŒ ุจูŠุณู…ูˆู‡ุง ููŠ
2534
+
2535
+ 634
2536
+ 00:49:11,920 --> 00:49:16,150
2537
+ ุชู„ุงุช ุทุฑู‚ ุจุชุณุชุฎุฏู…ู‡ุง ุนุดุงู† ุชุนู…ู„ generation ู„ู„ู€ stimulus
2538
+
2539
+ 635
2540
+ 00:49:16,150 --> 00:49:20,270
2541
+ ููŠ interactive ุฅุฐุง ู†ู‚ูˆู„ ู†ุงุณูŠ ุงู„ู€ stimulus ุจูŠุนุฑุถ ุงู„ู€
2542
+
2543
+ 636
2544
+ 00:49:20,270 --> 00:49:23,990
2545
+ sequence of input to be applied to the model ุนุดุงู†
2546
+
2547
+ 637
2548
+ 00:49:23,990 --> 00:49:29,330
2549
+ ูŠุชุฃูƒุฏ ุฅู†ู‡ ุดุบุงู„ ูˆู„ุง ู…ุด ุดุบุงู„ุŒ ู‡ุฏูˆู„ ุจูŠุญุฏุฏู‡ุง ุฃู†ุช ุชู…ุงู…
2550
+
2551
+ 638
2552
+ 00:49:29,330 --> 00:49:32,270
2553
+ ูˆู„ุง .. ุงุณู…ู‡ ุงู„ู€ stimulus ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฅุซุงุฑุฉ ูŠุนู†ูŠ ุฃูˆ
2554
+
2555
+ 639
2556
+ 00:49:32,270 --> 00:49:36,730
2557
+ ุงู„ู„ูŠ ู‡ุชุฏูŠู‡ุง ู„ู€ .. ู„ู„ู€ model ุนุดุงู† ุชุดูˆู ุดุบุงู„ ูˆู„ุง ู…ุด
2558
+
2559
+ 640
2560
+ 00:49:36,730 --> 00:49:42,560
2561
+ ุดุบุงู„ุŒ ููŠ ุชู„ุช ุทุฑู‚ ุจุชุณุชุฎุฏู…ู‡ุง ุนุดุงู† ุชุนู…ู„ ุฌุฑูŠุด ู„ู„ู€ stimulus
2562
+
2563
+ 641
2564
+ 00:49:42,560 --> 00:49:46,600
2565
+ ููŠ ุงู„ู€ interactive manual ู‡ุฐู‡ ูˆููŠ ุงู„ู€ command line
2566
+
2567
+ 642
2568
+ 00:49:46,600 --> 00:49:54,560
2569
+ ูˆููŠ test benchุŒ ุจุงู„ู€ interactive ุฅุฐุง ููŠ ุนู†ุฏูƒ
2570
+
2571
+ 643
2572
+ 00:49:54,560 --> 00:49:58,280
2573
+ interactive simulator ูˆุทุจุนุงู‹ ูˆุงู„ู„ูŠ ุจุชุดุบู„ูŠู† ุนู„ูŠู‡
2574
+
2575
+ 644
2576
+ 00:49:58,280 --> 00:50:00,860
2577
+ ููŠู‡ ุงู„ุฅู…ูƒุงู†ูŠุฉ ู‡ุฐู‡ุŒ ุจู…ุฌู†ูƒ ุฅู†ูƒ ุชุฏุฎู„ ุงู„ู€ stimulus
2578
+
2579
+ 645
2580
+ 00:50:00,860 --> 00:50:01,220
2581
+ manual
2582
+
2583
+ 646
2584
+ 00:50:09,860 --> 00:50:13,280
2585
+ ูุจูŠุฑูˆุญ ุงู„ู€ simulator ุจุงู„ู€ input ุงู„ู„ูŠ ุงุชุญุฏุฏ ุจุดูƒู„
2586
+
2587
+ 647
2588
+ 00:50:13,280 --> 00:50:20,080
2589
+ interactive ุจูŠุญุณุจ ู„ูƒ ุงู„ู€ output ุชู…ุงู… ูˆุจูŠุทู„ุน ู„ูƒ ููŠ
2590
+
2591
+ 648
2592
+ 00:50:20,080 --> 00:50:24,540
2593
+ ุงู„ุนุงุฏุฉ ุนู„ู‰ ุดูƒู„ web forms ุจูŠุธู‡ุฑ ู„ูƒ ุนู„ู‰ ุดูƒู„ web forms
2594
+
2595
+ 649
2596
+ 00:50:24,540 --> 00:50:29,320
2597
+ ุจูŠุธู‡ุฑ ุงู„ู€ input ูˆุงู„ู€ output ูƒู€ web forms ูˆุฃู†ุช
2598
+
2599
+ 650
2600
+ 00:50:29,320 --> 00:50:33,300
2601
+ ุจุชุนูŠู†ู‡ุง ุฃู†ุช ูƒู€ developer ุฃูˆ designer ุจุชุนูŠู†ู‡ุง
2602
+
2603
+ 651
2604
+ 00:50:33,300 --> 00:50:38,010
2605
+ ุจูŠุดูˆูู‡ุง ุจุนูŠู†ูƒ ูŠุนู†ูŠ ูˆุงุชุญุฏุฏ ู‡ู„ ููŠ ุบู„ุท ูˆู„ุง ุฅูŠุด ูˆู„ุง
2606
+
2607
+ 652
2608
+ 00:50:38,010 --> 00:50:41,790
2609
+ ู…ุด ุบู„ุทุŒ ูˆุฃู†ุช ุจุชูƒูˆู† ุทุจุนุงู‹ ุนู„ู‰ ุทู„ุน ู…ุง ุฃู†ุช ู„ุนู…ู„ design
2610
+
2611
+ 653
2612
+ 00:50:41,790 --> 00:50:43,930
2613
+ ุนู„ู‰ ุทู„ุน ุงู„ู€ requirements ูˆุงู„ู€ specifications ูˆุฃู†ุช
2614
+
2615
+ 654
2616
+ 00:50:43,930 --> 00:50:48,050
2617
+ ุงู„ู„ูŠ ูƒุงุชุจ ุงู„ู„ูŠ ุจูŠุดุชุบู„ ุงู„ู€ codeุŒ ูู€ you view ุงู„ู€ web forms
2618
+
2619
+ 655
2620
+ 00:50:48,050 --> 00:50:52,360
2621
+ ูˆุงุชุญุฏุฏ ุฅุฐุง ููŠ ู…ุดุงูƒู„ ูˆู„ุง ู…ุดุงูƒู„ุŒ ู…ุดุงูƒู„ ูˆู„ุง ุจูŠุฑุณู… ู„ูƒ
2622
+
2623
+ 656
2624
+ 00:50:52,360 --> 00:50:54,640
2625
+ ุงู„ู€ signals ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ input ูˆุงู„ู€ output as a
2626
+
2627
+ 657
2628
+ 00:50:54,640 --> 00:50:57,840
2629
+ function of timeุŒ as a function of timeุŒ ุงู„ู€
2630
+
2631
+ 658
2632
+ 00:50:57,840 --> 00:51:00,940
2633
+ time ุนู„ู‰ ุงู„ู€ horizontal ูˆุงู„ู€ signals ุนู„ู‰ ูŠุงุด ุนู„ู‰ ุงู„ู€
2634
+
2635
+ 659
2636
+ 00:51:00,940 --> 00:51:05,300
2637
+ verticalุŒ ุทุจุนุงู‹ ุชู‚ุฏุฑ ุชุนู…ู„ zoom in ูˆzoom out ุฒูŠ ู…ุง
2638
+
2639
+ 660
2640
+ 00:51:05,300 --> 00:51:09,740
2641
+ ุจุฏูƒุŒ ุชุฎุชุงุฑ ูุชุฑุงุช ู…ุนูŠู†ุฉ ุชุฌูŠุณ ุงู„ู…ุณุงูุฉ ุจูŠู† ุงู„ู€
2642
+
2643
+ 661
2644
+ 00:51:09,740 --> 00:51:12,320
2645
+ transition ูˆุงู„ู€ transition ุจูŠู† ู†ู‚ุทุฉ ูˆู†ู‚ุทุฉ ููŠ ุงู„ู€
2646
+
2647
+ 662
2648
+ 00:51:12,320 --> 00:51:16,960
2649
+ timeุŒ ู…ู…ูƒู† ุชุนู…ู„ display ู„ู€ signals as bits ู…ู†ูุฑุฏุฉ
2650
+
2651
+ 663
2652
+ 00:51:16,960 --> 00:51:21,680
2653
+ ู…ุชูุงุตู„ุฉ ุฃูˆ ูƒู€ .. ุฃูˆ .. ุฃูˆ ูƒู€ hexadecimal numbers ุฃูˆ
2654
+
2655
+ 664
2656
+ 00:51:21,680 --> 00:51:26,620
2657
+ symbolic values ุฒูŠ ู…ุง ุจุฏูƒ ุชู…ุงู…ุŸ okayุŒ ูˆagain ุจู†ู‚ูˆู„
2658
+
2659
+ 665
2660
+ 00:51:26,620 --> 00:51:30,260
2661
+ ุฃู†ุช ู†ูุณูƒ ูƒุดุฎุต ุฃู†ุช ุงู„ู„ูŠ ุจุชุนูŠู† ุงู„ู€ web forms ูˆุจุชุดูˆู
2662
+
2663
+ 666
2664
+ 00:51:30,260 --> 00:51:34,540
2665
+ ูˆูŠู† ุงู„ุฃุบู„ุท ู…ุดุงูƒู„ู‡ ุฃูˆ ู„ุงุŸ ุจุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ู„ูˆ ุงู„ู€
2666
+
2667
+ 667
2668
+ 00:51:34,540 --> 00:51:40,500
2669
+ design is simple ูŠุนู†ูŠ ู…ู…ูƒู† ุชุชูƒูŠู ู„ูƒู† ู„ูˆ ุงู„ู€ design
2670
+
2671
+ 668
2672
+ 00:51:40,500 --> 00:51:45,700
2673
+ ุตุงุฑ involved ูˆุตุงุฑ more complex ุฃูƒูŠุฏ ุจุชูƒูˆู† ู…ุชุนุจุฉ
2674
+
2675
+ 669
2676
+ 00:51:45,700 --> 00:51:48,760
2677
+ ู…ุด ู‡ูŠูƒ ูˆู„ุงุŸ ู„ุฃู†ู‡ ุงุญู†ุง ุงู„ู€ design ู…ุด ู‡ูŠูƒูˆู† just
2678
+
2679
+ 670
2680
+ 00:51:48,760 --> 00:51:50,980
2681
+ ุงุชู†ูŠู† ุฃูˆ ุชู„ุงุชุฉ inputุŒ ุจูŠูƒูˆู† ู…ู…ูƒู† ูŠูƒูˆู† ุนุดุฑ ุนุดุฑูŠู†
2682
+
2683
+ 671
2684
+ 00:51:50,980 --> 00:51:54,140
2685
+ input ุฃูˆ ุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุนุฏุฏ ุฌู„ูŠู„ ู…ู† input ุจุณ ู…ู† ุฌูˆุง
2686
+
2687
+ 672
2688
+ 00:51:54,140 --> 00:51:56,600
2689
+ ุงู„ู€ design complicated ุจูŠุญุณุจ ุดุบู„ุงุช ูƒุชูŠุฑ ูˆููŠ ุญุงุฌุงุช
2690
+
2691
+ 673
2692
+ 00:51:56,600 --> 00:52:01,640
2693
+ ุชู…ุงู…ุŒ ูุฅู†ูƒ ุชุนู…ู„ verification ู„ู„ู€ system ูˆุชุดูˆู ูˆูŠู†
2694
+
2695
+ 674
2696
+ 00:52:01,640 --> 00:52:05,160
2697
+ ุงู„ุบู„ุท ูˆุงู„ุตุญูŠุญ ุงู„ู„ูŠ ู‡ูŠ ุจุดูƒู„ manual ู‡ูˆ ู‡ูŠุทู„ุน ู„ูƒ ุงู„ู€
2698
+
2699
+ 675
2700
+ 00:52:05,160 --> 00:52:08,960
2701
+ ูˆููˆุงู†ุฒ ู…ุดุŸ ู„ูƒ ุชู‚ุนุฏ ุชุชุจุญู„ูƒ ููŠ ุนูŠู†ูŠูƒ ูˆุชุชุฏุฌุฌู„ู‡ุง ุชุฌู„ุฏ
2702
+
2703
+ 676
2704
+ 00:52:08,960 --> 00:52:11,600
2705
+ ุฌุจู„ู‡ุงุฏ ูˆ ุชุจุนุฏู‡ุงุฏูŠ ูˆุชุถุงูŠู„ู‡ุง ุนุดุฑ ู†ุงุฌุณุฉ ู„ุฎู…ุณุฉ ูˆูƒุฏู‡
2706
+
2707
+ 677
2708
+ 00:52:11,600 --> 00:52:15,020
2709
+ ู…ุถุนุจุฉ ู…ุถู†ูŠุฉ ู…ุด ู‡ูŠูƒ ูˆู„ุงุŸ ูˆุตุนุจุฉ ูƒุชูŠุฑ ุนู„ู‰ ุจู†ุงุก ุขุฏู…
2710
+
2711
+ 678
2712
+ 00:52:15,020 --> 00:52:20,060
2713
+ ู„ู€ designs ุงู„ู„ูŠ ู‡ูŠ ู…ุด .. ุงู„ู„ูŠ ู…ุด ุณู‡ู„ุฉ ูƒู…ุงู†ุŸ ุจุงู„ุฐุงุช
2714
+
2715
+ 679
2716
+ 00:52:20,060 --> 00:52:23,000
2717
+ ุฅุฐุง ุจุฏูƒ ุชุนู…ู„ comprehensive stimulus comprehensive
2718
+
2719
+ 680
2720
+ 00:52:23,000 --> 00:52:25,200
2721
+ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ูุญุต ุฒูŠ ู…ุง ู†ู‚ูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุดุงู…ู„ ู„ูƒู„
2722
+
2723
+ 681
2724
+ 00:52:25,200 --> 00:52:27,860
2725
+ ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชู…ุฑ ุจู‡ุงุŒ ุฅูŠู‡ ู„ูƒู„ ุงู„ู€ combination ูˆุงู„ู€
2726
+
2727
+ 682
2728
+ 00:52:27,860 --> 00:52:30,260
2729
+ input ูˆุฅูŠู‡ ุงู„ู€ corresponding output ูˆุชุชู‚ุงุฑู† ูˆุชุดูˆู
2730
+
2731
+ 683
2732
+ 00:52:30,260 --> 00:52:33,620
2733
+ ุฅูŠู‡ ุงู„ู…ุดูƒู„ุฉุŒ ูุจุชูƒูˆู† ุนู…ู„ูŠุฉ ู…ุถู†ูŠุฉ ูˆุชุงู…ุฉ ุงู„ู„ูŠ you are
2734
+
2735
+ 684
2736
+ 00:52:33,620 --> 00:52:38,160
2737
+ consuming ุชู…ุงู… ูˆูƒู…ุงู† ููŠู‡ ุฏุณุงุช ูˆู…ุงุชุชุด ูƒุจูŠุฑุฉ ุฅู†ูƒ
2738
+
2739
+ 685
2740
+ 00:52:38,160 --> 00:52:42,900
2741
+ ุฃู†ุช ู„ูˆ ุบู„ุทุช ููŠ ุงู„ู€ design ุดูˆูŠุฉ you have to modify ูƒู„
2742
+
2743
+ 686
2744
+ 00:52:42,900 --> 00:52:46,620
2745
+ input ู…ุด ู‡ูŠูƒ ูˆู„ุงุŸ ูˆุชุฏุฎู„ู‡ ูˆุชุนู…ู„ู‡ ูˆุชุฏุฎู„ู‡ ูˆุฃู†ุช
2746
+
2747
+ 687
2748
+ 00:52:46,620 --> 00:52:53,580
2749
+ active ู…ู† ุฃูˆู„ ูˆุฌุฏูŠุฏุŒ ูู…ุด ุนู…ู„ูŠุฉ ู…ุงุดูŠ ุฅูŠุด ุนู…ู„ูŠุฉ ู„ุฐู„ูƒ
2750
+
2751
+ 688
2752
+ 00:52:53,580 --> 00:52:56,980
2753
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุจูŠุฌูŠ ู…ุน ุงู„ู€ simulators ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
2754
+
2755
+ 689
2756
+ 00:52:56,980 --> 00:53:03,000
2757
+ ุจูŠุณู…ูˆู‡ุง command line stimulus language ูŠุนู†ูŠ ุจูŠุฏุฎู„
2758
+
2759
+ 690
2760
+ 00:53:03,000 --> 00:53:09,360
2761
+ ุงู„ู€ stimulus ุชุจุนูƒ ุนู† ุทุฑูŠู‚ ุงู„ู„ูŠ ู‡ูŠ commands ุนู† ุทุฑูŠู‚
2762
+
2763
+ 691
2764
+ 00:53:09,360 --> 00:53:16,840
2765
+ ุฅูŠุด commands ุนู†
2766
+
2767
+ 692
2768
+ 00:53:16,840 --> 00:53:21,820
2769
+ ุทุฑูŠู‚ ุฅูŠุด commands ู…ู…ูƒู† ุชุฏุฎู„ู‡ุง ุจุดูƒู„ interactive ุฃูˆ
2770
+
2771
+ 693
2772
+ 00:53:21,820 --> 00:53:25,240
2773
+ ู…ู…ูƒู† ุชุถุนู‡ุง ุฃูŠุด ุจู€ fileุŒ ู…ู…ูƒู† ุชุถุนู‡ุง ุฃูŠุด ุจู€ file ูˆ
2774
+
2775
+ 694
2776
+ 00:53:25,240 --> 00:53:30,060
2777
+ ุชู†ูุฐ ุงู„ู€ file ุจุนุฏ ู‡ูŠูƒ ุฃูƒูŠุฏ ุงู„ู„ูŠ ู‡ูŠ ุฅู†ูƒ ุชุถุนู‡ุง ููŠ
2778
+
2779
+ 695
2780
+ 00:53:30,060 --> 00:53:34,760
2781
+ file ุจุงู„ู€ queue ุฃุณู‡ู„ ู„ูƒ ู…ู† ุฅู†ูƒ ุชุฏุฎู„ู‡ุง ุจุดูƒู„
2782
+
2783
+ 696
2784
+ 00:53:34,760 --> 00:53:38,520
2785
+ interactive ู„ุฃู†ูƒ ู„ูˆ ุฏุฎู„ุช ููŠ file ู„ูˆ ุงู†ุชู‚ู„ุช ููŠ ุงู„ู€
2786
+
2787
+ 697
2788
+ 00:53:38,520 --> 00:53:43,760
2789
+ design ุณุงุนุชู‡ุง ุงู„ู€ file ุฃูƒูŠุฏ ู‡ูŠุชุบูŠุฑุŒ ุจุณ mainly some
2790
+
2791
+ 698
2792
+ 00:53:43,760 --> 00:53:47,500
2793
+ part ุฃูˆ parts ู…ู†ู‡ ู‡ุชุชุบูŠุฑ ู…ุด ู‡ูŠูƒุŸ ูˆูŠู†ู‡ุงุŒ ู…ุด ู‡ุชูƒุชุจ ูƒู„
2794
+
2795
+ 699
2796
+ 00:53:47,500 --> 00:53:52,080
2797
+ ุดูŠุก from scratchุŒ ู…ู† ุงู„ู€ zeroุŒ ู…ู† ุงู„ุจุฏุงูŠุฉ ุชู…ุงู…ุŸ
2798
+
2799
+ 700
2800
+ 00:53:52,080 --> 00:53:55,000
2801
+ ูุจูŠูƒูˆู† ุฃุญุณู† ุดูˆูŠุฉ ุนู„ู‰ ุฌุงู„ุจ ุงู„ู€ interactive ุงู„ุฃูˆู„ุงู†ูŠ
2802
+
2803
+ 701
2804
+ 00:53:55,000 --> 00:54:01,860
2805
+ ู‡ุฐุง ู„ูƒู† ุจุฑุถู‡ุŒ ุจูŠุถู‘ู„ ุงู„ approach ู‡ุฐุง ู…ุด ูƒูุกุŒ ู…ุด ุฐุง
2806
+
2807
+ 702
2808
+ 00:54:01,860 --> 00:54:03,780
2809
+ ูƒูุก ุฅุฐุง ุงู„ุดูŠุก ูƒุงู† complex
2810
+
2811
+ 703
2812
+ 00:54:06,500 --> 00:54:10,380
2813
+ ูƒู…ุงู† ุญุชู‰ ุงู„ command line language ู…ุงู‡ูŠ portable
2814
+
2815
+ 704
2816
+ 00:54:12,330 --> 00:54:15,830
2817
+ ูŠุนู†ูŠ ุฃู†ุช ู„ูˆ ุงุดุชุบู„ุช ุจุดูƒู„ ุจุงู„ command line ุนู„ู‰
2818
+
2819
+ 705
2820
+ 00:54:15,830 --> 00:54:19,350
2821
+ system environment ูˆุฌุฆุช ู†ู‚ู„ุช ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
2822
+
2823
+ 706
2824
+ 00:54:19,350 --> 00:54:22,090
2825
+ visual file ุนู„ู‰ system ุซุงู†ูŠ ูˆุจุฏูƒ ุชุนู…ู„ ู†ูุณ ุงู„ู„ูŠ
2826
+
2827
+ 707
2828
+ 00:54:22,090 --> 00:54:24,330
2829
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ stimulus ุจุดูƒู„ ุจุงู„ command line ู‡ุชู„ุงู‚ูŠ
2830
+
2831
+ 708
2832
+ 00:54:24,330 --> 00:54:26,090
2833
+ ุงู„ command line language ุชุจุนุชู‡ ุงู„ุซุงู†ูŠ ู…ุฎุชู„ู ุนู† ู…ูŠู†
2834
+
2835
+ 709
2836
+ 00:54:26,090 --> 00:54:30,350
2837
+ ุงู„ุฃูˆู„ู‰ ูŠุนู†ูŠ ุจุฏูƒ ุชุชุนุงู…ู„ ุจู…ุนู†ู‰ ูˆุจุฏูƒ ุชุชุนู„ู… ุงู„ู€
2838
+
2839
+ 710
2840
+ 00:54:30,350 --> 00:54:33,810
2841
+ command line language ุชุจุนุช ุงู„ simulator .. ุงู„ simulator
2842
+
2843
+ 711
2844
+ 00:54:33,810 --> 00:54:39,730
2845
+ ุงู„ system ุงู„ุซุงู†ูŠ ู…ุด ู‡ูŠูƒ ูˆู„ุง ูุจุชุชุนุจ ุชู…ุงู… ุฃุญุณู† ุทุฑูŠู‚ุฉ
2846
+
2847
+ 712
2848
+ 00:54:39,730 --> 00:54:45,150
2849
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุซุงู„ุซุฉ ุงู„ุฃุฎูŠุฑุฉ ู‡ุฐู‡ ุฅู†ูƒ ุชูƒุชุจ stimulus ุนู„ู‰
2850
+
2851
+ 713
2852
+ 00:54:45,150 --> 00:54:50,450
2853
+ ุดูƒู„ test bench ุนู„ู‰ ุดูƒู„ ุฅูŠู‡ุŸ test bench ุงู„ test
2854
+
2855
+ 714
2856
+ 00:54:50,450 --> 00:54:54,390
2857
+ bench ุนุจุงุฑุฉ ุนู† VHDL code ุนุงุฏูŠ ุจุณ ุจูŠุณู…ูˆู‡ ุฅูŠู‡ุŸ
2858
+
2859
+ 715
2860
+ 00:54:54,390 --> 00:54:55,330
2861
+ test bench
2862
+
2863
+ 716
2864
+ 00:55:10,370 --> 00:55:14,510
2865
+ ุงู„ู€ test bench ู‚ู„ู†ุง ุนุจุงุฑุฉ ุนู† ุฅูŠุด VHDL code ุนุงุฏูŠ
2866
+
2867
+ 717
2868
+ 00:55:14,510 --> 00:55:17,050
2869
+ ูุฃู†ุง ู‚ู„ุช ู„ูƒ ุฅู†ูƒ ู„ุง ุชุญุชุงุฌ ุฃู† ุชุชุนู„ู… ู„ุบุฉ ุฌุฏูŠุฏุฉ ุนุดุงู†
2870
+
2871
+ 718
2872
+ 00:55:17,050 --> 00:55:19,530
2873
+ ุชูƒุชุจ test bench ู…ุด ู‡ูŠูƒ ูˆู„ุง ู†ูุณู‡ุง ุจุชูƒุชุจ ููŠู‡ุง
2874
+
2875
+ 719
2876
+ 00:55:19,530 --> 00:55:23,370
2877
+ design description ูˆู†ูุณู‡ุง ุจุชูƒุชุจ ููŠู‡ุง ู…ูŠู† ุงู„ test
2878
+
2879
+ 720
2880
+ 00:55:23,370 --> 00:55:28,290
2881
+ bench ุชู…ุงู…ุŸ ู„ุฐู„ูƒ ุงุญู†ุง ุจุงู„ู€ .. ุนุดุงู† to verify ุงู„ู€
2882
+
2883
+ 721
2884
+ 00:55:28,290 --> 00:55:30,950
2885
+ function correctness ูˆ design ู‡ู†ุนู…ู„ ุฎุทูˆุงุช
2886
+
2887
+ 722
2888
+ 00:55:30,950 --> 00:55:34,010
2889
+ ุงู„ุชุงู„ูŠุฉ ู‡ู†ุนู…ู„ ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูŠ verification plan
2890
+
2891
+ 723
2892
+ 00:55:34,900 --> 00:55:38,220
2893
+ ุจุนุฏูŠู† ู‡ู†ูƒุชุจ ุงู„ VHDL Test Bench ูˆู†ุนู…ู„ Compile Test
2894
+
2895
+ 724
2896
+ 00:55:38,220 --> 00:55:41,140
2897
+ Bench ูˆู†ุนู…ู„ ุงู„ function ุฅูŠุด ุงู„ู„ูŠ ู‡ูˆ simulation
2898
+
2899
+ 725
2900
+ 00:55:41,140 --> 00:55:46,180
2901
+ ุชุจุนู†ุง ุงู„ู€
2902
+
2903
+ 726
2904
+ 00:55:46,180 --> 00:55:51,100
2905
+ verification plan ุทุจุนุงู‹
2906
+
2907
+ 727
2908
+ 00:55:51,100 --> 00:55:54,580
2909
+ ุจุฏูƒ ุชูƒูˆู† ุฃู†ุช ู‚ุงุฑุฆ ุงู„ requirements ูˆุงู„ verification
2910
+
2911
+ 728
2912
+ 00:55:54,580 --> 00:56:00,200
2913
+ ุจุงู„ุชูุตูŠู„ ูˆูุงู‡ู…ู‡ุง ุชู…ุงู…ุงู‹ ุนุดุงู† ุชุนู…ู„ ุงู„ plan ุชุดูˆู ูƒูŠู
2914
+
2915
+ 729
2916
+ 00:56:00,200 --> 00:56:05,210
2917
+ ู‡ุชูุญุต ุงู„ system ุงู„ุฃุดูŠุงุก ุงู„ู„ูŠ ู‡ูŠ ุงู„ sequences of
2918
+
2919
+ 730
2920
+ 00:56:05,210 --> 00:56:07,950
2921
+ inputs to be applied to the system ูˆุงู„ุดูŠุก ุงู„ู…ูุฑูˆุถ
2922
+
2923
+ 731
2924
+ 00:56:07,950 --> 00:56:12,870
2925
+ ูŠุทู„ุน ุงู„ output ุชู…ุงู… ูˆู„ุง ุนุดุงู† ุชู‚ุฏุฑ ุชู‚ูˆู„ ุฃู†ุง ูุญุตุช
2926
+
2927
+ 732
2928
+ 00:56:12,870 --> 00:56:15,650
2929
+ ุงู„ system ุจุดูƒู„ comprehensive ุจุดูƒู„ ุดุงู…ู„ ูˆู…ุชุฃูƒุฏ ู…ู†
2930
+
2931
+ 733
2932
+ 00:56:15,650 --> 00:56:19,610
2933
+ ุฌู…ูŠุน ุงู„ุญุงู„ุงุช ุฃูˆ ุนู„ู‰ ุฃู‚ู„ ุชู‚ุฏูŠุฑ ู…ุนุธู…ู‡ุง ู…ุด ู‡ูŠูƒ ูˆู„ุง ุฅูŠู†ุน ู
2934
+
2935
+ 734
2936
+ 00:56:19,610 --> 00:56:22,970
2937
+ ุงู„ text ุงู„ู„ูŠ ู‡ูˆ ุงู„ time ูˆุจุฏู‡ุง ุตุจุฑ ูˆุจุฏู‡ุง ุชุนู…ู„ู‡ุง
2938
+
2939
+ 735
2940
+ 00:56:22,970 --> 00:56:27,510
2941
+ ุจุนูŠู†ู‡ุง ูŠุนู†ูŠ ู…ุงุดูŠ ุงู„ุญุงู„ ุงู„ู€ .. ุงู„ู€ .. ุงู„ plan ุงู„ู„ูŠ
2942
+
2943
+ 736
2944
+ 00:56:27,510 --> 00:56:29,790
2945
+ ุจุชุนู…ู„ู‡ุง ู‡ุฐู‡ ุฃูุถู„ ุฅู†ูƒ ุชุนู…ู„ู‡ุง documentation ูˆุชุญุทู‡ุง ููŠ
2946
+
2947
+ 737
2948
+ 00:56:29,790 --> 00:56:34,460
2949
+ verification plan ูŠุนู†ูŠ ู…ุด planbification
2950
+
2951
+ 738
2952
+ 00:56:34,460 --> 00:56:36,260
2953
+ ุทุจุนุงู‹ ู‡ูˆ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุญุจูŠู†ุง ู†ุญูƒูŠู‡ ููŠ ุงู„ู…ุญุงูˆู„ุงุช
2954
+
2955
+ 739
2956
+ 00:56:36,260 --> 00:56:41,340
2957
+ ุงู„ุฃูˆู„ุงู†ูŠุฉ ู‡ุฐู‡ ุทุจุนุงู‹ ูŠุนู†ูŠ ู‡ูˆ ูƒู„ุงู… ูŠุนู†ูŠ ุฃู‡ู… ุจูƒุซูŠุฑ ู…ู†
2958
+
2959
+ 740
2960
+ 00:56:41,340 --> 00:56:43,720
2961
+ ุงู„ coding ุฅุฐุง ุญุทูŠุชูƒ ููŠ ุงู„ coding ุงู„ coding ู†ูุณู‡
2962
+
2963
+ 741
2964
+ 00:56:43,720 --> 00:56:47,660
2965
+ ู…ุด ูˆู„ุง ุญุงุฌุฉ ุทุจุนุงู‹ ุจุณ ุนู†ุฏูƒ ุฎุทูˆุงุช ุฃุณุงุณูŠุฉ ูˆู„ุงุฒู…
2966
+
2967
+ 742
2968
+ 00:56:47,660 --> 00:56:51,500
2969
+ ุชุนุฑูู‡ุง ูˆุชุชุจุนู‡ุง ูˆุชูƒูˆู† ุฒูŠ ู…ุง ุชู‚ูˆู„ ู‡ูŠ ุทุฑูŠู‚ุชูƒ ููŠ ุงู„ู€
2970
+
2971
+ 743
2972
+ 00:56:51,500 --> 00:56:54,620
2973
+ .. ููŠ ุงู„ู€ .. ููŠ ุงู„ design ูˆููŠ ุงู„ุญูŠุงุฉ ุทุจุนุงู‹ ูˆู„ุง
2974
+
2975
+ 744
2976
+ 00:56:54,620 --> 00:56:58,420
2977
+ okay ุทุฑูŠู‚ุชูƒ ููŠ ุงู„ design ูˆููŠ ุงู„ุญูŠุงุฉ ูƒู„ ุดูŠุก ุจุฏู‡
2978
+
2979
+ 745
2980
+ 00:56:58,420 --> 00:57:03,210
2981
+ planning ูˆ ุจุฏู‡ุชู…ุงู… okay ูƒุงู† ู…ู…ูƒู† ุฃู†ุง ู…ุซู„ุงู‹ ุฃู‚ูุฒ ุนู„ู‰
2982
+
2983
+ 746
2984
+ 00:57:03,210 --> 00:57:05,830
2985
+ ุงู„ part side ูˆุฃุฑูˆุญ ุฃุทูˆู„ ุนู„ู‰ ุงู„ code ู„ุฃ ู…ุด ูƒูˆูŠุณ
2986
+
2987
+ 747
2988
+ 00:57:05,830 --> 00:57:13,190
2989
+ ู‡ูŠูƒ ุชู…ุงู… okay ู…ุงุดูŠ ู„ุฐู„ูƒ ุงู„ู„ูŠ ุชุนู…ู„ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
2990
+
2991
+ 748
2992
+ 00:57:13,190 --> 00:57:16,370
2993
+ verification plan is time consuming ูˆุจุฏู‡ุง effort
2994
+
2995
+ 749
2996
+ 00:57:16,370 --> 00:57:20,810
2997
+ ูˆุจุฏู‡ุง ุตุจุฑ ู…ู†ูƒ ูˆุจุฏู‡ุง ู…ุฌู‡ูˆุฏ ุชู…ุงู… ูˆู„ุง ู„ูƒู† ุจูŠุณุชุญู‚
2998
+
2999
+ 750
3000
+ 00:57:20,810 --> 00:57:25,810
3001
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ issue ุชู…ุงู… okay ู…ุงุดูŠ
3002
+
3003
+ 751
3004
+ 00:57:38,550 --> 00:57:47,030
3005
+ ุจุฏู‡ุง plan ุฃูŠ ุดูŠุก ุญุชู‰ ู„ูˆ ุจุณูŠุท ุจุฏู‡ .. ุจุฏู‡ plan ุทุจุนุงู‹ุŒ
3006
+
3007
+ 752
3008
+ 00:57:47,030 --> 00:57:51,110
3009
+ ู„ุงุฒู… ุฅู†ูƒ ุชููƒุฑ .. ุชููƒุฑ ููŠ ุงู„ุดูŠุก ุญุชู‰ ููŠ ู‡ุฐุง ูˆุฃูŠ ู†ูˆุน
3010
+
3011
+ 753
3012
+ 00:57:51,110 --> 00:57:54,350
3013
+ ู…ู† .. ุฃูŠ ุดูŠุก ุจุฏู‡ .. ุฃูŠ ุดูŠุก ุจุฏูƒ ุชู‚ูˆู„ ุญุทุช ุฎุทุฉ ุฅูŠู‡ุŒ ุจู‚ู‰
3014
+
3015
+ 754
3016
+ 00:57:54,350 --> 00:58:02,510
3017
+ ู„ูƒุŸ ุฃูŠ ู†ูˆุน ูŠุนู†ูŠ okay ู…ุงุดูŠ ุทูŠุจ
3018
+
3019
+ 755
3020
+ 00:58:06,450 --> 00:58:09,050
3021
+ ุงู„ test bench ุฅุฐุง ู‚ู„ู†ุง ุงู„ test bench ุนุจุงุฑุฉ ุนู† ุฅูŠุด
3022
+
3023
+ 756
3024
+ 00:58:09,050 --> 00:58:14,450
3025
+ ูŠุง ุดุจุงุจ ุนุจุงุฑุฉ ุนู† ุจูŠุดุชุบู„ code ุนุงุฏูŠ program ุชู…ุงู…
3026
+
3027
+ 757
3028
+ 00:58:14,450 --> 00:58:18,510
3029
+ ูุฃู†ุช predetermined ุงู„ู„ูŠ ู‡ูŠ stimulus ุฃู†ุช ุงู„ู€
3030
+
3031
+ 758
3032
+ 00:58:18,510 --> 00:58:21,890
3033
+ stimulus ุฃู†ุช ู…ุญุฏุฏู‡ ู…ุณุจู‚ุงู‹ ูˆูƒุชุจุชู‡ ุจุงู„ verification
3034
+
3035
+ 759
3036
+ 00:58:21,890 --> 00:58:26,790
3037
+ ุงู„ู„ูŠ ู‡ูˆ a plan ุงู„ test bench ุจูŠุทุจู‚ู‡ุง ุจูŠุญุทู‡ุง input
3038
+
3039
+ 760
3040
+ 00:58:26,790 --> 00:58:30,670
3041
+ ู„ู„ circuit ุงู„ู„ูŠ ุฃู†ุช ุนู…ู„ุชู‡ุง ู„ู„ design ูˆูŠุดูˆู ุงู„ output
3042
+
3043
+ 761
3044
+ 00:58:30,670 --> 00:58:34,190
3045
+ ุงู„ู„ูŠ ุทู„ุน ูˆุจูŠู‚ุงุฑู†ู‡ ุจุงู„ุดูŠุก ุจุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ุฃู†ุช ุจุชูƒูˆู†
3046
+
3047
+ 762
3048
+ 00:58:34,190 --> 00:58:37,450
3049
+ ู…ุญุฏุฏ ููŠ test bench ุจุฑุถู‡ ู„ูˆ ููŠ ุฃูŠ error ู…ู† ุฏูŠ ู„ูƒูŠ
3050
+
3051
+ 763
3052
+ 00:58:37,450 --> 00:58:41,350
3053
+ ุจูŠู‚ูˆู„ ู„ูƒ ููŠ error message ุจูŠู‚ูˆู„ ู„ูƒ ูˆู„ุง ููŠ error ู‡ุฐุง
3054
+
3055
+ 764
3056
+ 00:58:41,350 --> 00:58:46,830
3057
+ ูƒู„ู‡ ู…ุญุทูˆุทูŠู† ุงู„ู„ูŠ ู‡ูˆ ููŠ ุงู„ test bench ุชู…ุงู…ุŸ ุฅุฐุง ุจุงู„ู€
3058
+
3059
+ 765
3060
+ 00:58:46,830 --> 00:58:52,990
3061
+ test bench ุฃู†ุช ุจุชุญุฏุฏ ุจุชู‚ูˆู„ ู„ู‡ ุจุชุฏุฎู„ input ูˆุจูŠุดูˆู ุงู„ู€
3062
+
3063
+ 766
3064
+ 00:58:52,990 --> 00:58:57,860
3065
+ output ุงู„ุญู‚ูŠู‚ูŠ ุงู„ู„ูŠ ุทู„ุน ูˆุจูŠู‚ุงุฑู†ู‡ ุจุงู„ู…ูุฑูˆุถ ุฅุฐุง ููŠู‡
3066
+
3067
+ 767
3068
+ 00:58:57,860 --> 00:59:00,040
3069
+ discrepancy ููŠู‡ ุงุฎุชู„ุงู ุจูŠุฏูŠู„ูƒ error message ุฃู†ุช
3070
+
3071
+ 768
3072
+ 00:59:00,040 --> 00:59:04,120
3073
+ ุจุชู‚ูˆู„ ู„ู‡ ุทุฑูŠู‚ุฉ error message ุชู…ุงู… ูˆู„ุงุŸ ูˆูƒู„ ู…ูƒุงู† ุงู„ู€
3074
+
3075
+ 769
3076
+ 00:59:04,120 --> 00:59:08,320
3077
+ test is comprehensive ูƒู„ ู…ูƒุงู† ุฃุญุณู† ุดูƒูˆุง ู„ุงุŸ okay
3078
+
3079
+ 770
3080
+ 00:59:08,320 --> 00:59:14,620
3081
+ ู…ุงุดูŠ ุงู„ู€
3082
+
3083
+ 771
3084
+ 00:59:14,620 --> 00:59:18,600
3085
+ design entity ุงู„ู„ูŠ ู‡ูŠ being verified ู‡ู†ุณู…ูŠู‡ุง unit
3086
+
3087
+ 772
3088
+ 00:59:18,600 --> 00:59:26,070
3089
+ under test U U T unit under test ุงู„ู€ Design Entity
3090
+
3091
+ 773
3092
+ 00:59:26,070 --> 00:59:28,450
3093
+ ุงู„ู„ูŠ ุนุงู…ู„ูŠู† ุจูŠูุญุต ููŠู‡ุง ู„ูˆ ุจุชุฎุชู„ู ุญุณุจ ุงู„ู…ุฑุญู„ุฉ ุนู„ู‰
3094
+
3095
+ 774
3096
+ 00:59:28,450 --> 00:59:31,590
3097
+ ููƒุฑุฉ ูŠุนู†ูŠ ู…ุฑุงุช ู…ู…ูƒู† ุงู„ู€ Design Entity ู‡ูˆ ุงู„ู€
3098
+
3099
+ 775
3100
+ 00:59:31,590 --> 00:59:33,850
3101
+ description file ุงู„ุฃูˆู„ุงู†ูŠ ุงู„ source code ุงู„ุฃูˆู„ุงู†ูŠ
3102
+
3103
+ 776
3104
+ 00:59:33,850 --> 00:59:37,070
3105
+ ู…ุฑุงุช ุจูŠูƒูˆู† Design Entity ุงู„ code ุงู„ู„ูŠ ูŠุฑู…ูŠู‡ ุงู„ู€
3106
+
3107
+ 777
3108
+ 00:59:37,070 --> 00:59:39,250
3109
+ code ูŠุทู„ุน ู…ู† ุงู„ุดุฌุฑุฉ ุงู„ gate level code ุงู„ net list
3110
+
3111
+ 778
3112
+ 00:59:39,250 --> 00:59:42,450
3113
+ ุงู„ู„ูŠ ุทู„ุน ู…ู† ุงู„ุดุฌุฑุฉ ู…ุฑุงุช ุจูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ Design
3114
+
3115
+ 779
3116
+ 00:59:42,450 --> 00:59:44,270
3117
+ Entity ุงู„ gate level ุงู„ู„ูŠ ูŠุทู„ุน ู…ู† ุงู„ main ู…ู† ุงู„ู€
3118
+
3119
+ 780
3120
+ 00:59:44,270 --> 00:59:47,230
3121
+ place and route ุญุณุจ ู†ูˆุน ุงู„ main ุงู„ู„ูŠ ู‡ูˆ simulation
3122
+
3123
+ 781
3124
+ 00:59:47,230 --> 00:59:51,290
3125
+ ู†ูˆุน ุงู„ test ุชู…ุงู… ุญุณุจ ู†ูˆุน ุงู„ test simulation ูˆู†ูˆุน
3126
+
3127
+ 782
3128
+ 00:59:51,290 --> 00:59:53,670
3129
+ ุงู„ test ุงู„ู„ูŠ ู‡ูˆ ุงู„ test ุฏู‡ like a design entity
3130
+
3131
+ 783
3132
+ 00:59:53,670 --> 00:59:57,990
3133
+ ุงู„ู„ูŠ under test ู‡ู†ุณู…ูŠู‡ุง unit under test unit under
3134
+
3135
+ 784
3136
+ 00:59:57,990 --> 01:00:03,210
3137
+ test ุฃู†ุง ูƒุงุชุจ ู„ูƒ paragraph ู…ู…ูƒู† ุชู…ุฑ ุนู„ูŠู‡ุง ุจุชููŠุฏูƒ
3138
+
3139
+ 785
3140
+ 01:00:03,210 --> 01:00:06,750
3141
+ ุงู„ู„ูŠ testing ููŠ ุงู„ุนุงุฏุฉ ููŠ ุงู„ verification ุจูŠู‚ุตุฏ
3142
+
3143
+ 786
3144
+ 01:00:06,750 --> 01:00:12,030
3145
+ ู…ู†ู‡ ุฅูŠุด ู„ู…ุง
3146
+
3147
+ 787
3148
+ 01:00:12,030 --> 01:00:17,350
3149
+ ุจุนู…ู„ product ูˆุฅุฐุง ุนุงูˆุฒ ู…ู†ู‡ ู…ุฆุฉ ุญุจุฉ ุจู…ุณูƒ ูƒู„ unit
3150
+
3151
+ 788
3152
+ 01:00:17,350 --> 01:00:22,070
3153
+ ู„ูˆุญุฏู‡ุง ุจุนู…ู„ู‡ุง testing ู‡ู„ ุดุบุงู„ุฉ ูˆู„ุง ู…ุด ุดุบุงู„ุฉ ู…ู† ุงู„ู€
3154
+
3155
+ 789
3156
+ 01:00:22,070 --> 01:00:26,610
3157
+ product ุงู„ู†ู‡ุงุฆูŠ ุงู„ุฃุฎูŠุฑ per unit ู„ูƒู† ุงุญู†ุง ููŠ
3158
+
3159
+ 790
3160
+ 01:00:26,610 --> 01:00:30,170
3161
+ ุงู„ู…ุฑุญู„ุฉ ููŠ ุงู„ unit ู‡ุฐุง test ู…ุด ุงู„ product ุงู„ู†ู‡ุงุฆูŠ
3162
+
3163
+ 791
3164
+ 01:00:30,170 --> 01:00:35,970
3165
+ ู‡ุฐุง test ุฃุซู†ุงุก design ุฃุซู†ุงุก design ููŠู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ
3166
+
3167
+ 792
3168
+ 01:00:35,970 --> 01:00:38,290
3169
+ ุงุณุชุฎุฏุงู… ุงู„ concept ู‡ู†ุง is misleading is testing
3170
+
3171
+ 793
3172
+ 01:00:38,290 --> 01:00:42,390
3173
+ you can ุฃูุถู„ ุชุณู…ูŠุชู‡ verification ู‡ูˆ ูุนู„ุงู‹ ุณู…ูŠู‡ุง
3174
+
3175
+ 794
3176
+ 01:00:42,390 --> 01:00:48,150
3177
+ verification ุฅุฐุง ุงู„ verification ู„ุฅูŠุดุŸ ุนุดุงู† ู†ุชุฃูƒุฏ
3178
+
3179
+ 795
3180
+ 01:00:48,150 --> 01:00:50,510
3181
+ ู‡ู„ ุงู„ design meets its requirements ูˆ
3182
+
3183
+ 796
3184
+ 01:00:50,510 --> 01:00:53,190
3185
+ specifications or not ู…ุด ู‡ูŠูƒ ูˆู„ุง ุฌุงู†ุจ ู…ุง ูŠุนู…ู„ูˆุง
3186
+
3187
+ 797
3188
+ 01:00:53,190 --> 01:00:55,850
3189
+ manufacturing ุฌุงู†ุจ ู…ุง ูŠุนู…ู„ูˆุง manufacturing ุจูŠู†ู…ุง
3190
+
3191
+ 798
3192
+ 01:00:55,850 --> 01:00:58,770
3193
+ ุงู„ testing ุจุชุณู…ูŠ ุงู„ุฃุตู„ูŠุฉ ุฃูˆ ุงู„ู…ุตุทู„ุญ ุงู„ู„ูŠ ุงุณุชุฎุฏู…
3194
+
3195
+ 799
3196
+ 01:00:58,770 --> 01:01:03,470
3197
+ ุจุนุฏ ู…ุง ุงู„ product is manufactured ุจุนุฏ ู…ุง ูŠุชู…
3198
+
3199
+ 800
3200
+ 01:01:03,470 --> 01:01:08,250
3201
+ ุชุตู†ูŠุนู‡ ูŠู†ุชุฌ ู…ู†ู‡ ู…ุซู„ุงู‹ ุงู„ู„ูŠ ู‡ูŠ 100 unit 100 ุญุจุฉ ูƒู„
3202
+
3203
+ 801
3204
+ 01:01:08,250 --> 01:01:10,650
3205
+ ูŠูˆู… ุชู…ุณูƒู‡ุง ุนู„ู‰ ุฌุงู…ุจ ูƒุฏู‡ ุจูŠุนู…ู„ู‡ุง testing ู‡ู„ ุดุบุงู„ุฉ ูˆู„ุง
3206
+
3207
+ 802
3208
+ 01:01:10,650 --> 01:01:19,330
3209
+ ู…ุด ุดุบุงู„ุฉ ุชู…ุงู…ุŸ Okay ู…ุงุดูŠ ุงู„ู€
3210
+
3211
+ 803
3212
+ 01:01:19,330 --> 01:01:23,070
3213
+ test ุจู†ูุณู‡ุง ุนุจุงุฑุฉ ุนู† design entity ูŠุนู†ูŠ ู…ู† ูˆุงุญุฏ ุฏู‡
3214
+
3215
+ 804
3216
+ 01:01:23,070 --> 01:01:25,510
3217
+ ู‡ุชุณุชุฎุฏู… ุฅูŠุด ููŠ ุงู„ design ูˆู‡ุชุณุชุฎุฏู… ุฅูŠุด ู„ test ุชุจุน
3218
+
3219
+ 805
3220
+ 01:01:25,510 --> 01:01:29,190
3221
+ ุงู„ design unit ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ description file ุฃูˆ
3222
+
3223
+ 806
3224
+ 01:01:29,190 --> 01:01:36,130
3225
+ ุงู„ file ุฃูˆ ุงู„ gate level ุงู„ู„ูŠ ุทู„ุน ู…ู† ุงู„ place and
3226
+
3227
+ 807
3228
+ 01:01:36,130 --> 01:01:40,060
3229
+ route ู…ุงุดูŠ ู‚ู„ู†ุง ุงู„ testbench ุนุจุงุฑุฉ ุนู† design
3230
+
3231
+ 808
3232
+ 01:01:40,060 --> 01:01:43,040
3233
+ entity ู„ุฐู„ูƒ ูู‡ูŠ ู…ูƒูˆู†ุฉ ู…ู† testbench entity
3234
+
3235
+ 809
3236
+ 01:01:43,040 --> 01:01:46,880
3237
+ declaration ูˆู…ู† architecture ู…ุง ุงุญู†ุง ู‚ู„ู†ุง ููŠ
3238
+
3239
+ 810
3240
+ 01:01:46,880 --> 01:01:49,840
3241
+ ุจุฏุงูŠุฉ ุงู„ูƒู„ุงู… ู…ุด ู‚ู„ู†ุง ุงู„ testbench ุนุจุงุฑุฉ ุนู† VHDL
3242
+
3243
+ 811
3244
+ 01:01:49,840 --> 01:01:54,280
3245
+ code ุตุญ ูู‡ุชู„ุงู‚ูŠู‡ุง ู…ูƒูˆู†ุฉ ู…ู† entity declaration
3246
+
3247
+ 812
3248
+ 01:01:54,280 --> 01:02:02,420
3249
+ ูˆูƒู…ุงู† ู…ู† ุฅูŠุด ู…ู† architecture ุชู…ุงู… ุงู„ู€
3250
+
3251
+ 813
3252
+ 01:02:02,420 --> 01:02:05,820
3253
+ architecture ุฅูŠุด ุจู†ุญุท ููŠู‡ุง ุงู„ architecture
3254
+
3255
+ 814
3256
+ 01:02:11,570 --> 01:02:15,190
3257
+ ุจุชุฑูˆุญ ุนุงู…ู„ ููŠู‡ุง instance ู…ู† ุงู„ UUT ุงู„ unit under
3258
+
3259
+ 815
3260
+ 01:02:15,190 --> 01:02:21,170
3261
+ test one instance ุจุชุฑูˆุญ
3262
+
3263
+ 816
3264
+ 01:02:21,170 --> 01:02:26,150
3265
+ ู…ุนุฑูุฉ ูƒู…ุงู† signals ุฌุฏูŠุฏุฉ ู‡ู… ุงู„ู„ูŠ ู‡ุชูˆุตู„ู‡ู… ู…ุน ุงู„ู€
3266
+
3267
+ 817
3268
+ 01:02:26,150 --> 01:02:30,590
3269
+ unit under test ุจุนุฏูŠู† ุจุชุฑูˆุญ ุนุงู…ู„ one process ุฃูˆ
3270
+
3271
+ 818
3272
+ 01:02:30,590 --> 01:02:33,990
3273
+ ุฃูƒุซุฑ to apply ุงู„ stimulus ุงู„ input ุงู„ู„ูŠ ุฃู†ุช ุนุงูˆุฒู‡ู…
3274
+
3275
+ 819
3276
+ 01:02:33,990 --> 01:02:35,770
3277
+ ุนู„ู‰ ุงู„ UUT
3278
+
3279
+ 820
3280
+ 01:02:38,400 --> 01:02:41,320
3281
+ ูŠุนู†ูŠ ู…ูƒูˆู†ุฉ ุงู„ body ุชุจู‚ู‰ ุงู„ุชุดุบูŠู„ ุงู„ู…ูŠู„ูŠ ุจู†ุญุท ููŠู‡
3282
+
3283
+ 821
3284
+ 01:02:41,320 --> 01:02:44,300
3285
+ ุซู„ุงุซุฉ ุดุบู„ุงุช ู‡ุฐูˆู„ ุจุชุฑูˆุญ ุนุงู…ู„ instance from unity
3286
+
3287
+ 822
3288
+ 01:02:44,300 --> 01:02:48,600
3289
+ ู‡ู†ุดูˆู ุงู„ูƒู„ุงู… ู‡ุฐู‡ ุจุชุฑูˆุญ ุนุงู…ู„ signal ุฌุฏูŠุฏุฉ ู‡ุชุนู…ู„ู‡ุง
3290
+
3291
+ 823
3292
+ 01:02:48,600 --> 01:02:53,120
3293
+ mapping ูˆุชูˆุตู„ู‡ุง ู…ุน ุงู„ signal ุชุจุนุช ู…ูŠู† ุงู„ unit
3294
+
3295
+ 824
3296
+ 01:02:53,120 --> 01:02:56,040
3297
+ under test ูˆุจุนุฏูŠู† ุจุชุฑูˆุญ ุนุงู…ู„ process statement
3298
+
3299
+ 825
3300
+ 01:02:56,040 --> 01:02:58,740
3301
+ ุชู…ุงู… ุนู† ุทุฑูŠู‚ ุงู„ process you apply ุงู„ statements
3302
+
3303
+ 826
3304
+ 01:02:58,740 --> 01:03:01,420
3305
+ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ุง ูˆุจุชุฑุงู‚ุจ ุงู„ output ุงู„ู„ูŠ ุทู„ุน ูˆุชู‚ุงุฑุจู‡
3306
+
3307
+ 827
3308
+ 01:03:01,420 --> 01:03:05,960
3309
+ ุงู„ู…ูุฑูˆุถ ุนุดุงู† ุชุดูˆู ู‡ุชุฏูŠ error message ูˆู„ุง ู…ุด ู‡ุชุฏูŠ
3310
+
3311
+ 828
3312
+ 01:03:05,960 --> 01:03:07,120
3313
+ ุชู…ุงู…
3314
+
3315
+ 829
3316
+ 01:03:11,620 --> 01:03:16,340
3317
+ ุทู„ุน ุงู„ููŠุฌุงุฑุฉ ุงู„ุชุงู„ูŠุฉ ุนุดุงู†
3318
+
3319
+ 830
3320
+ 01:03:16,340 --> 01:03:20,500
3321
+ ุชุดูˆู ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ test bench ูˆุงู„ UET ู‡ุฐุง ูƒู„ู‡
3322
+
3323
+ 831
3324
+ 01:03:20,500 --> 01:03:26,200
3325
+ test bench ูˆู‡ู†ูƒุชุจู‡ ุจุงู„ VHDL
3326
+
3327
+ 832
3328
+ 01:03:26,200 --> 01:03:28,940
3329
+ ุชู„ุงุญุธ ููŠู‡ุง ุจุชุฑูˆุญ ู‡ุฐู‡ ุงู„ูŠูˆู… ุชู‚ู†ุถู‰ ุงู„ test ุจุชุฑูˆุญ
3330
+
3331
+ 833
3332
+ 01:03:28,940 --> 01:03:31,820
3333
+ ุนุงู…ู„ูŠู† ู…ู†ู‡ุง instance ุฒูŠ object ุฌุฏูŠุฏ ุฒูŠ ู…ุง ุชู‚ูˆู„
3334
+
3335
+ 834
3336
+ 01:03:31,820 --> 01:03:34,540
3337
+ instance ูŠุนู†ูŠ ูƒุฃู† object ุจู†ุฑูˆุญ ุนุงู…ู„ูŠู† ู…ู†ู‡ุง
3338
+
3339
+ 835
3340
+ 01:03:34,540 --> 01:03:40,000
3341
+ instance ูˆู‡ุฐูˆู„ ุงู„ signals ู‡ุฐูˆู„ ุนุฑูู†ุงู‡ู… ููŠ ุงู„ test
3342
+
3343
+ 836
3344
+ 01:03:40,000 --> 01:03:44,740
3345
+ bench ุจู†ุทู„ุจ ู…ู† ุงู„ code ุจุชู‚ูˆู„ ู„ู‡ ูˆุตู„ูŠ ู…ุซู„ุงู‹ ู‡ุฐู‡ ู…ุน ุงู„ู€
3346
+
3347
+ 837
3348
+ 01:03:44,740 --> 01:03:48,520
3349
+ a ุชุจุน ุงู„ unit ูˆู‡ุฐู‡ ู…ุน ุงู„ b ุชุจุน ุงู„ unit ู‡ุฐูˆู„ ุจุฑุถู‡
3350
+
3351
+ 838
3352
+ 01:03:48,520 --> 01:03:52,580
3353
+ signals ุนุฑูู†ุงู‡ู… ููŠ ุงู„ test bench ุจุฑุถู‡ ูˆู‡ุทู„ุจ ุฒูŠ ู…ุง
3354
+
3355
+ 839
3356
+ 01:03:52,580 --> 01:03:56,160
3357
+ ู‡ู†ุดูˆู ุจู†ู‚ูˆู„ ู„ู‡ ูˆุตู„ูŠ ู‡ุฐู‡ ู…ุซู„ุงู‹ ู…ุน ุงู„ sum ูˆู‡ุฐู‡ ู…ุน ุงู„ู€
3358
+
3359
+ 840
3360
+ 01:03:56,160 --> 01:04:00,980
3361
+ carry ุชู…ุงู…ุŸ ูˆุจุนุฏูŠู† ุจุงู„ process ุงู„ู„ูŠ ุฃู†ุช ู‡ุชูƒุชุจู‡ุง
3362
+
3363
+ 841
3364
+ 01:04:00,980 --> 01:04:04,060
3365
+ ุจุชุฑูˆุญ ูƒุงุชุฑ ู„ู€ stimulus ุชุจุนูƒ ุงู„ุณู…ุงุญูŠ ุฅู† ู‡ูŠุด stimulus
3366
+
3367
+ 842
3368
+ 01:04:04,060 --> 01:04:08,200
3369
+ ุจุชู‚ูˆู„ู‡ apply ู…ุซู„ุง get zero zero ูˆ apply
3370
+
3371
+ 843
3372
+ 01:04:08,200 --> 01:04:11,440
3373
+ zero ูˆุงุญุฏ ูˆ apply ูƒุฐุง ูˆุจุนุฏูŠู† ููŠ ุฌุฒุก code ุชุงู†ูŠ
3374
+
3375
+ 844
3376
+ 01:04:11,440 --> 01:04:15,140
3377
+ ุจูŠุนู…ู„ monitoring ู„ู…ูŠู†ุŸ ู„ู„ู€ response ู„ู„ู€ output ูˆ
3378
+
3379
+ 845
3380
+ 01:04:15,140 --> 01:04:19,900
3381
+ ุจูŠู‚ุงุฑู†ู‡ ุจุงู„ู…ูุฑูˆุถ ุจุงู„ู€ supposed ุจุงู„ู…ูุฑูˆุถ if they are
3382
+
3383
+ 846
3384
+ 01:04:19,900 --> 01:04:23,280
3385
+ the same ููŠ ุงูŠู‡ ู…ุดูƒู„ุฉุŸ ุฅุฐุง ููŠ ุงุฎุชู„ุงู ุจุชุฎู„ูŠู‡ ูŠุฏูŠูƒ
3386
+
3387
+ 847
3388
+ 01:04:23,280 --> 01:04:26,040
3389
+ error message
3390
+
3391
+ 848
3392
+ 01:04:30,230 --> 01:04:33,590
3393
+ ูˆุฅู† ุฌูˆู‡ ุงู„ู€ test bench is entirely self contained
3394
+
3395
+ 849
3396
+ 01:04:33,590 --> 01:04:37,250
3397
+ ู…ุงู„ู‡ุงุด ู„ุง input ูˆู„ุง output ุฎู„ูŠ ุจุงู„ูƒ ู‡ุฏูˆู„ ุงู„
3398
+
3399
+ 850
3400
+ 01:04:37,250 --> 01:04:40,950
3401
+ signals ุงู„ู„ูŠ ู‡ู†ุนุฑูู‡ู… ุฏุงุฎู„ูŠูŠู† ู…ุงููŠุด ููŠู‡ุง ports ูŠุนู†ูŠ
3402
+
3403
+ 851
3404
+ 01:04:40,950 --> 01:04:43,770
3405
+ ููŠู‡ุง entity ู„ูƒู† ุงู„ู€ entity ุงู„ู€ declaration is empty
3406
+
3407
+ 852
3408
+ 01:04:43,770 --> 01:04:45,930
3409
+ ุทูŠุจ
3410
+
3411
+ 853
3412
+ 01:05:01,940 --> 01:05:09,100
3413
+ ู„ู„ู€ functional simulation ุฅูŠุด ู‡ูŠ ุงู„ู€ UUT ุงู„ู€ VHDL
3414
+
3415
+ 854
3416
+ 01:05:09,100 --> 01:05:10,840
3417
+ design description ุงู„ู€ source code ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ
3418
+
3419
+ 855
3420
+ 01:05:10,840 --> 01:05:15,960
3421
+ ูƒุชุจุชู‡ ุฃูˆู„ file ูƒุชุจุชู‡ ู‡ุฐุง ุงู„ู€ unit under ุฅูŠุด under
3422
+
3423
+ 856
3424
+ 01:05:15,960 --> 01:05:22,120
3425
+ test ู„ู„ู€ post-sense simulation ุฅูŠุด ุงู„ู€ model ุงู„ู€ unit
3426
+
3427
+ 857
3428
+ 01:05:22,120 --> 01:05:24,360
3429
+ under test ู‡ูˆ ุงู„ู€ netlist ุงู„ู„ูŠ ุทู„ุน ู…ู† ู…ูŠู†ุŸ ุงู„ู„ูŠ ุทู„ุน
3430
+
3431
+ 858
3432
+ 01:05:24,360 --> 01:05:29,070
3433
+ ู…ู† Zajar ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ gate level description ุชู…ุงู…ู‹ุง
3434
+
3435
+ 859
3436
+ 01:05:29,070 --> 01:05:32,110
3437
+ Timing SimulationุŒ ู…ุงู‡ูˆ ุงู„ู€ Model ุงู„ู„ูŠ ู†ูุญุตู‡ุŸ ุงู„ู€
3438
+
3439
+ 860
3440
+ 01:05:32,110 --> 01:05:33,590
3441
+ Timing Model ุงู„ู„ูŠ ุทู„ุน ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ู€ Play Store ูˆ
3442
+
3443
+ 861
3444
+ 01:05:33,590 --> 01:05:39,210
3445
+ Android ุทุจุนู‹ุงุŒ ุฅุฐุง ู„ู„ู€ Functional ุจุณุชุฎุฏู… ู…ูŠู†ุŸ ุงู„ู€
3446
+
3447
+ 862
3448
+ 01:05:39,210 --> 01:05:43,210
3449
+ Source Code ุงู„ุฃูˆู„ุงู†ูŠ ู„ู„ู€ Post Synthesis ุจุณุชุฎุฏู…
3450
+
3451
+ 863
3452
+ 01:05:43,210 --> 01:05:46,150
3453
+ ู…ูŠู†ุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ NetlistุŒ ุงู„ู€ Get Level Model ุงู„ู„ูŠ
3454
+
3455
+ 864
3456
+ 01:05:46,150 --> 01:05:52,140
3457
+ ุทู„ุน ู…ู† ู…ูŠู†ุŸ ุณู†ุฒุฌุฑ ุงู„ู€ timing ุฅุฐุง ุจุนู…ู„ timing
3458
+
3459
+ 865
3460
+ 01:05:52,140 --> 01:05:56,000
3461
+ simulation ุจุณุชุฎุฏู… ุงู„ู€ U U T ู‡ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† ุงูŠู‡ุŸ ุงู„ู€
3462
+
3463
+ 866
3464
+ 01:05:56,000 --> 01:05:59,220
3465
+ timing model ุงู„ู„ูŠ ุทู„ุน ู…ู† ุงู„ู€ place ุนู†ุฏู‡ ุงูŠู‡ุŸ and
3466
+
3467
+ 867
3468
+ 01:05:59,220 --> 01:06:03,840
3469
+ route ุฃู†ุง ุดุงูŠู ู„ูˆ ุชูˆู‚ูู†ุง ู„ู‡ุง ุนุดุงู† ู†ูƒูˆู† ู…ุชูƒุงู…ู„ูŠู† okay
3470
+
3471
+ 868
3472
+ 01:06:03,840 --> 01:06:06,220
3473
+ ู„ุฃู† ู…ุด ู‡ู†ุงู„ุญุงุฌุงุช ู†ู‚ูˆู„ ุดูŠุก ููŠ ุงู„ู€ test because ุฅู†ู‘ู‡ุง
3474
+
3475
+ 869
3476
+ 01:06:06,220 --> 01:06:11,240
3477
+ ุจุฏู‡ุง some time okay ุฎู„ูŠู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุฃูุถู„ ู…ุด ู‡ูŠูƒูˆูˆุง ู„ุฃ
3478
+
3479
+ 870
3480
+ 01:06:11,240 --> 01:06:15,020
3481
+ ู…ุงุดูŠ ุงู„ุญุงู„ ุฅู† ุดุงุก ุงู„ู„ู‡ ุงู„ู„ู‡ ูŠุนุทูŠูƒู… ุงู„ุนููˆ
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@@ -0,0 +1,3692 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,130 --> 00:00:28,530
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ุจุณู… ุงู„ู„ู‡ ุจุฑุถู‡ ุงู„ aggregate ู…ู…ูƒู† ูŠุธู‡ุฑ
4
+
5
+ 2
6
+ 00:00:28,530 --> 00:00:32,030
7
+ ููŠ ุงู„ left hand side ููŠ ุงู„ left hand side ุงูˆ ุงู„
8
+
9
+ 3
10
+ 00:00:32,030 --> 00:00:36,210
11
+ assignment statement ูˆ ุงู„ุชุงู„ูŠ ู„ูˆ ููŠ ุนู†ุฏูƒ composite
12
+
13
+ 4
14
+ 00:00:36,210 --> 00:00:43,950
15
+ value ู…ู…ูƒู† ุชูุฑูุทู‡ุง ุฅู„ู‰ scalar signals ุฒูŠ ู…ุซู„ุง ุฎู„ู‘ูŠ
16
+
17
+ 5
18
+ 00:00:43,950 --> 00:00:47,790
19
+ ุนู„ู‰ ุงู„ assignment ู‡ุฐูŠ ุงูŠู‡ ู‡ุฐุง aggregate ุธู‡ุฑ ู†ุงุญูŠุฉ
20
+
21
+ 6
22
+ 00:00:47,790 --> 00:00:52,700
23
+ ุงู„ left hand sideูƒู„ ู…ู† ู‡ุคู„ุงุก ุงู„ุงุฑุถูŠ ุจุงุฑ ูˆ ุงู„ right
24
+
25
+ 7
26
+ 00:00:52,700 --> 00:00:56,140
27
+ bar ูˆ ุงู„ S2 ุจุงุฑ ู‡ู… ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
28
+
29
+ 8
30
+ 00:00:56,140 --> 00:00:58,100
31
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
32
+
33
+ 9
34
+ 00:00:58,100 --> 00:00:58,220
35
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
36
+
37
+ 10
38
+ 00:00:58,220 --> 00:00:58,240
39
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
40
+
41
+ 11
42
+ 00:00:58,240 --> 00:01:00,640
43
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
44
+
45
+ 12
46
+ 00:01:00,640 --> 00:01:00,660
47
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
48
+
49
+ 13
50
+ 00:01:00,660 --> 00:01:09,100
51
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
52
+
53
+ 14
54
+ 00:01:09,100 --> 00:01:14,620
55
+ ุฅุนุงุฏุฉ
56
+
57
+ 15
58
+ 00:01:14,940 --> 00:01:18,900
59
+ ูˆ ุงู„ูˆุงุญุฏ to the next ูˆ zeroes to the last signal
60
+
61
+ 16
62
+ 00:01:18,900 --> 00:01:25,300
63
+ ุจู†ูุน ุชุณุชุฎุฏู…ู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง ุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุชุนู…ู„
64
+
65
+ 17
66
+ 00:01:25,300 --> 00:01:30,180
67
+ assignment
68
+
69
+ 18
70
+ 00:01:30,180 --> 00:01:36,000
71
+ ู„ string ุจุงู„ length ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ุง ู„ู…ุฌู…ูˆุน scalar
72
+
73
+ 19
74
+ 00:01:36,000 --> 00:01:38,640
75
+ signals ุทุจุนุง ู„ุงุฒู… ูŠูƒูˆู† ู†ูุณ ุงู„ุนุฏุฏ ู…ุด ู‡ูŠูƒูˆุง ู„ุฃ ุฃูˆ
76
+
77
+ 20
78
+ 00:01:38,640 --> 00:01:40,700
79
+ ู†ูุณ ุนุฏุฏ ุงู„ bits ุงู„ู„ูŠ ู‡ูˆ ููŠ ุงู„ุขุฎุฑ
80
+
81
+ 21
82
+ 00:01:45,860 --> 00:01:53,640
83
+ ู…ู…ูƒู† ุชุนู…ู„ combining ู„ู„ scalars ูˆุชุนู…ู„ ู…ู†ู‡ู… array ุงูˆ
84
+
85
+ 22
86
+ 00:01:53,640 --> 00:01:59,240
87
+ ุชุนู…ู„ combining ู„ู„ arrays ู…ุน ุจุนุถ ุงูˆ scalar ู…ุน array
88
+
89
+ 23
90
+ 00:01:59,240 --> 00:02:03,580
91
+ ุชุนู…ู„ ู…ู†ู‡ array ุงูƒุจุฑ ุจุงุณุชุฎุฏุงู… ุงู„ concatenation
92
+
93
+ 24
94
+ 00:02:03,580 --> 00:02:08,460
95
+ operator ุงู„ู„ูŠ ู‡ูˆ n ู‡ุฐุง
96
+
97
+ 25
98
+ 00:02:08,460 --> 00:02:11,020
99
+ predefined ู„ู„ one dimensional array types
100
+
101
+ 26
102
+ 00:02:14,380 --> 00:02:18,280
103
+ ูˆุจุงู„ุชุงู„ูŠ ุชุทู„ุน ุนู„ู‰ statement ู‡ุฐู‰ ู„ูˆ ู‚ู„ู†ุง ุฏู‰ ุจูŠุณุงูˆูŠ
104
+
105
+ 27
106
+ 00:02:18,280 --> 00:02:22,820
107
+ ุงู„ string ู‡ุฐู‰ concatenated ู…ุน ุงู„ string ู‡ุฐู‰ ู‡ูŠุนู…ู„
108
+
109
+ 28
110
+ 00:02:22,820 --> 00:02:26,220
111
+ string ุงู„ link ุชุจุนู‡ุง ุจูŠุณุงูˆูŠ ู…ุฌู…ูˆุนุฉ two lengths
112
+
113
+ 29
114
+ 00:02:26,220 --> 00:02:31,340
115
+ ูŠุนู†ูŠ ุฃุฑุจุนุฉ bits ูˆ ุฃุฑุจุนุฉ bits ู‡ุชุตุจุญ ุจูƒู…ุฉ ุจุณ ูˆ ุงูุชุฑุถ
116
+
117
+ 30
118
+ 00:02:31,340 --> 00:02:34,820
119
+ ุนุดุงู† ูŠูƒูˆู† ุงู„ assignment valid ุฏู‰ ูŠูƒูˆู† ุงู„ link ุชุจุนู‡
120
+
121
+ 31
122
+ 00:02:34,820 --> 00:02:39,820
123
+ ุจุฑุถู‡ ุชู…ุงู†ูŠุฉ bits it works ุทุจุนุง ู„ู…ุง ูŠุนู…ู„
124
+
125
+ 32
126
+ 00:02:39,820 --> 00:02:42,840
127
+ concatenation ู‡ุฐู‰ ุจุชุธู‡ุฑ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ูˆ ู‡ุฐู‰ ู†ุงุญูŠุฉ
128
+
129
+ 33
130
+ 00:02:42,840 --> 00:02:46,460
131
+ ุงูŠู‡ุŸ ุงู„ุงู…ูŠุฉุงู„ู„ูŠ ุงู†ุง ููŠ ุงู„ expression ู…ุงุญุทุชู‡ ู†ุงุญูŠุฉ
132
+
133
+ 34
134
+ 00:02:46,460 --> 00:02:52,180
135
+ ุงูŠู‡ ุงุด ู„ุดู…ุงู„ ูˆู‡ุฐู‡ ู†ุงุญูŠุฉ ุงู„ูŠุงู…ูŠู† ูˆู…ู…ูƒู† ุชุนู…ู„
136
+
137
+ 35
138
+ 00:02:52,180 --> 00:02:57,020
139
+ concatenation ู„ single character ุงูˆ single bit ุทู„ุน
140
+
141
+ 36
142
+ 00:02:57,020 --> 00:03:01,980
143
+ ู‡ู†ุง ู…ุซู„ุง just one character letter is concatenated
144
+
145
+ 37
146
+ 00:03:01,980 --> 00:03:10,840
147
+ ู…ุน ุงู„ string ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ุจุชูˆุงุฌุณ ุจุฑุถู‡ ุชู…ุงู… ูƒู†ุง
148
+
149
+ 38
150
+ 00:03:10,840 --> 00:03:16,580
151
+ ุดูˆูู†ุง ุงู„ standard logic vectorู‡ุฐุง ู…ุด ู…ุนู…ูˆู„ ุนู„ุดุงู†
152
+
153
+ 39
154
+ 00:03:16,580 --> 00:03:22,540
155
+ ูŠุชู…ุซู„ ุงู„ numeric values ููŠู‡ุŒ ู…ุนู…ูˆู„ ุนู„ุดุงู† ูŠุชู…ุซู„ ุงู„
156
+
157
+ 40
158
+ 00:03:22,540 --> 00:03:26,320
159
+ logic valuesุŒ ุจุงู„ุฐุงุช ุงู„ zero ูˆุงุญุฏ ูˆ ุงู„ ูˆุงุญุฏ ูˆ ุงู„
160
+
161
+ 41
162
+ 00:03:26,320 --> 00:03:30,120
163
+ high impedance ูˆ ุงู„ู‚ูŠู… ุงู„ุฃุฎุฑู‰ ุงู„ู…ุณุงุนุฏุฉ ุจุชููŠุฏ ููŠ ุงู„
164
+
165
+ 42
166
+ 00:03:30,120 --> 00:03:36,520
167
+ simulation ูˆ ุงู„ analysis ู…ุด ู‡ูŠูƒ ูˆู„ุง ู…ุนู…ูˆู„ ู„ู‡ูŠูƒุŒ
168
+
169
+ 43
170
+ 00:03:36,520 --> 00:03:39,160
171
+ ู„ูƒู† ู…ุด ู…ุนุฑููŠู† ุฅูŠู‡ ุฃูŠ arithmetic operations ุฒูŠ
172
+
173
+ 44
174
+ 00:03:39,160 --> 00:03:45,680
175
+ ุงู„ุฌุงู…ุนุฉ ูˆ ุงู„ุทุฑุญ ูˆ ุงู„ุถุฑุจ ูˆ ุงู„ุดุบู„ุงุช ู‡ุฐู‡ุนุดุงู† ุงู†ุช
176
+
177
+ 45
178
+ 00:03:45,680 --> 00:03:50,660
179
+ ุชุณุชุฎุฏู… ุงู„ standard logic vector ูˆ ุชุนู…ู„ ุนู„ูŠู‡ ุนู…ู„ูŠุงุช
180
+
181
+ 46
182
+ 00:03:50,660 --> 00:03:54,540
183
+ ุญุณุงุจูŠุฉ ุนุงุฏูŠุฉ ู…ุด ู‡ุญุชุงุฌ ุงู†ูƒ ุชุนุฑู ุงู„ู„ูŠ ู‡ูŠ some
184
+
185
+ 47
186
+ 00:03:54,540 --> 00:03:59,680
187
+ functions ุชูƒุชุจู‡ุง ูˆ ุทุจุนุง ุงูƒูŠุฏ ุงู†ุช ู„ู…ุง ุชุถุฑุจ ู…ุซู„ุง ุงูˆ
188
+
189
+ 48
190
+ 00:03:59,680 --> 00:04:05,200
191
+ ุจุชุฌู…ุน two unsigned numbers ุจูŠุฎุชู„ู ููŠู…ุง ู„ูˆ ูƒุงู†ูˆุง
192
+
193
+ 49
194
+ 00:04:05,200 --> 00:04:09,040
195
+ signed ู…ุด ู‡ูŠูƒ ุนุดุงู† ุชุนู…ู„ ุงู†ุช ุงู„ functions ู‡ุฏูˆู„
196
+
197
+ 50
198
+ 00:04:09,040 --> 00:04:15,880
199
+ ุจุชุบู„ุจ ุจุชู†ุนู…ู„ ูŠุนู†ูŠ ูˆ ู…ุฑูŠุญูˆู†ุงูุนู…ู„ูˆู„ุง ุงู„ุดุบู„ุงุช ู‡ุฐู‡ ูˆ
200
+
201
+ 51
202
+ 00:04:15,880 --> 00:04:21,040
203
+ ุญุทูˆู„ุง ู„ูŠู‡ุง ููŠ special library ุงูˆ ููŠ special
204
+
205
+ 52
206
+ 00:04:21,040 --> 00:04:27,200
207
+ package ู‡ุฐุง ุงุณู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ package ููŠ ุงู„ package
208
+
209
+ 53
210
+ 00:04:27,200 --> 00:04:34,320
211
+ ู…ุนุฑููŠู† ู‚ูŠู„ู†ุง two types ุงุฌุฏุงุฏ ุงู„ elements ุชุจุน ุงู„
212
+
213
+ 54
214
+ 00:04:34,320 --> 00:04:37,180
215
+ types ู‡ุฏูˆู„ still are the standard logical element
216
+
217
+ 55
218
+ 00:04:37,180 --> 00:04:42,000
219
+ ุงู„ types ู‡ุฏูˆู„ ุฃุณู…ุงุกู‡ู… unsigned and unsigned
220
+
221
+ 56
222
+ 00:04:43,570 --> 00:04:47,490
223
+ ู„ุฃู† ู‡ู… ุนุงู…ู„ูŠู† ู„ู„ุดุบู„ ุนุดุงู† ุชุนู…ู„ ุนู„ูŠู‡ู… numerical
224
+
225
+ 57
226
+ 00:04:47,490 --> 00:04:51,790
227
+ calculations ูˆ representations ูˆ ุชุนู…ู„ ุนู„ูŠู‡ู…
228
+
229
+ 58
230
+ 00:04:51,790 --> 00:04:53,650
231
+ numerical operations
232
+
233
+ 59
234
+ 00:04:58,570 --> 00:05:01,790
235
+ ูˆู…ุงุนุฑููŠู† ุงู†ู†ุง ูƒู…ุงู† ุงู„ operators ูƒู…ุงู† ุงู„ู„ูŠ ู‡ูŠุดุชุบู„ูˆุง
236
+
237
+ 60
238
+ 00:05:01,790 --> 00:05:05,290
239
+ ุนู„ู‰ ุงู„ two data types ู‡ุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ุฌู…ูŠุนุง ุงู„
240
+
241
+ 61
242
+ 00:05:05,290 --> 00:05:10,110
243
+ unsigned ูˆ ุงู„ unsigned ุงู„ุชุนุฑูŠู ุชุจุน ุงู„ signed ูˆ ุงู„
244
+
245
+ 62
246
+ 00:05:10,110 --> 00:05:13,670
247
+ unsigned ูˆ ุงู„ operations ุงู„ู„ูŠ ุจุชุดุชุบู„ ุนู„ูŠู‡ู… ู…ูˆุฌูˆุฏูŠู†
248
+
249
+ 63
250
+ 00:05:13,670 --> 00:05:20,090
251
+ ููŠ ุงู„ package ู‡ุฐู‡ ู…ูˆุฌูˆุฏูŠู† ููŠ ุงู„ package ู‡ุฐู‡ ููŠ ุญุชู‰
252
+
253
+ 64
254
+ 00:05:20,090 --> 00:05:23,410
255
+ ูƒู…ุงู† package ุจุชุงุนูŠ ุงุณู… ุงู„ numeric ุงู„ู„ูŠ ู‡ูŠ bit ุทู„ุน
256
+
257
+ 65
258
+ 00:05:23,410 --> 00:05:27,270
259
+ ุนู„ู‰ ุงุณู… ุงู„ numeric standard ู„ู„ unsigned ูˆ ุงู„
260
+
261
+ 66
262
+ 00:05:27,270 --> 00:05:33,870
263
+ signedูู†ุนู…ู„ูƒ bit ู‡ุฐู‡ ู…ุนู…ูˆู„ุฉ ู„ูˆ ุงู„ signed ูˆ ุงู„
264
+
265
+ 67
266
+ 00:05:33,870 --> 00:05:38,830
267
+ unsigned ุงู„ elements ุชุจุนูˆู†ู‡ู… ูƒุงู†ูˆุง bit ุชู…ุงู… ุชุณุชุฎุฏู…
268
+
269
+ 68
270
+ 00:05:38,830 --> 00:05:44,010
271
+ ุงู„ package ู‡ุฐู‡ ูˆู„ูƒู† if you are using ุงู„ signed and
272
+
273
+ 69
274
+ 00:05:44,010 --> 00:05:48,310
275
+ unsigned ูˆ ุจุฏูƒ ุงู„ elements ูŠูƒูˆู†ูˆุง ู…ุนุฑููŠู† ุนู„ูŠู‡ู…
276
+
277
+ 70
278
+ 00:05:48,310 --> 00:05:53,690
279
+ standard logic you have to use this package ุชู…ุงู…ุŸ
280
+
281
+ 71
282
+ 00:05:53,690 --> 00:05:56,090
283
+ you have to use this package
284
+
285
+ 72
286
+ 00:05:59,050 --> 00:06:02,390
287
+ ุงู„ู€ Unsigned one dimensional ุทุจุนุง ู…ุนุฑู
288
+
289
+ 73
290
+ 00:06:02,390 --> 00:06:05,730
291
+ Unconstrained array of elements ู‚ูˆู„ู†ุง ูƒู„ element
292
+
293
+ 74
294
+ 00:06:05,730 --> 00:06:11,890
295
+ ุงูŠุด ู†ูˆุนู‡ุŸ standard logic ุดูˆู ูƒูŠู ุงู„ุชุนุฑูŠู ุชุจุนู‡ ููŠ
296
+
297
+ 75
298
+ 00:06:11,890 --> 00:06:17,610
299
+ ุงู„ package ู‡ุฐู‡ type ู‡ู‰ ุงุณู…ู‡ Unsigned is array ูˆ ุงู„
300
+
301
+ 76
302
+ 00:06:17,610 --> 00:06:21,570
303
+ range ุชุจุน ุงู„ index is natural ูŠุนู†ูŠ ุจูŠุจุฏุฃ ู…ู† zero
304
+
305
+ 77
306
+ 00:06:21,570 --> 00:06:26,270
307
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ูˆ ุทุงู„ุน was unconstrained
308
+
309
+ 78
310
+ 00:06:29,270 --> 00:06:32,170
311
+ ู„ูƒู† ู„ู…ุง ุชูŠุฌูŠ ุชุนุฑู object ู…ู†ู‡ you have to determine
312
+
313
+ 79
314
+ 00:06:32,170 --> 00:06:36,510
315
+ ุงู„ bounds ู…ุธุจูˆุท ุงุชู„ุงุนุจ ุญุชู‰ ููŠ ุงู„ุขุฎุฑ ููŠ object
316
+
317
+ 80
318
+ 00:06:36,510 --> 00:06:40,250
319
+ standard logic ู…ุน ุฃู† ูƒู„ element ู…ู† ุงู„ู‚ุฑูŠุฉ ู‡ุฐุง is a
320
+
321
+ 81
322
+ 00:06:40,250 --> 00:06:45,890
323
+ standard logic ูˆ ุงู„ุชุงู„ูŠ ู‡ูˆ ุชู‚ุฑูŠุจุง ุฒูŠ ุงู„ standard
324
+
325
+ 82
326
+ 00:06:45,890 --> 00:06:52,190
327
+ logic vector ู„ูƒู† ุงุณู…ู‡ ูŠุงุด unsigned ู„ูƒู† ุงุณู…ู‡
328
+
329
+ 83
330
+ 00:06:52,190 --> 00:06:57,530
331
+ unsigned ูˆ ู…ุนู…ูˆู„ ู„ุฃู†ู‡ุจุฏู‡ู… ูŠุนู…ู„ูˆุง ุดูˆูŠุฉ ุนู…ู„ูŠุงุช
332
+
333
+ 84
334
+ 00:06:57,530 --> 00:07:09,450
335
+ ุญุณุงุจูŠุฉ ุนู„ู‰ ุงู„ data unsigned ุจุงู„ู†ุณุจุงู„ู‰
336
+
337
+ 85
338
+ 00:07:09,450 --> 00:07:15,350
339
+ ุงู„ data unsigned ุงู„ machine ู‡ุชู†ุธุฑู„ู‡ ุนู„ู‰ ุงู†ู‡ data
340
+
341
+ 86
342
+ 00:07:15,350 --> 00:07:20,390
343
+ unsigned ุจูŠู†ุงูŠุฑ ู†ู…ุจุฑ ุงู„ left most bit ู‡ูˆ ุงู„ left
344
+
345
+ 87
346
+ 00:07:20,390 --> 00:07:24,330
347
+ most significant bitูˆุงู„ู€ rightmost ู‡ูˆ rightmost
348
+
349
+ 88
350
+ 00:07:24,330 --> 00:07:29,030
351
+ ุนู„ู‰ ุงู†ู‡ ุจูŠู†ุงุฑูŠุงุด ุจูŠู†ุงุฑูŠ number ู„ุงู† ููŠ ุงู„ุฃุณุงุณ ุงู„
352
+
353
+ 89
354
+ 00:07:29,030 --> 00:07:35,750
355
+ element ุงู„ุฃุณุงุณูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† standard logic ุจุงู„ู†ุณุจุฉ
356
+
357
+ 90
358
+ 00:07:35,750 --> 00:07:41,450
359
+ ู„ู„ sign ุจุฑุถู‡ one dimension ุงู„ู‚ุฑูŠุฉ ูˆ ุงู„ elements
360
+
361
+ 91
362
+ 00:07:41,450 --> 00:07:46,100
363
+ ุงู„ู…ูƒูˆู†ุฉ ูŠู„ูˆ ูƒู„ ูˆุงุญุฏ ู…ู†ู‡ู… standard logicู‡ุฐุง ุงู„ุชุนุฑูŠู
364
+
365
+ 92
366
+ 00:07:46,100 --> 00:07:51,200
367
+ ุชุจุนู‡ ู…ุนุฑู ุจู†ูุณ ุงู„ package type signed is array
368
+
369
+ 93
370
+ 00:07:51,200 --> 00:07:55,640
371
+ ุจุฑุถู‡ ุงู„ index ุงู„ range ุชุจุนู‡ is natural ูŠุนู†ูŠ ู…ู†
372
+
373
+ 94
374
+ 00:07:55,640 --> 00:08:01,040
375
+ zero ูˆุงุญุฏ ุงุชู†ูŠู† ูˆ ู‡ูƒุฐุง ุงู„ range is unconstraint ูˆ
376
+
377
+ 95
378
+ 00:08:01,040 --> 00:08:06,800
379
+ ูƒู„ element standard logic ุจุงู„ู†ุณุจุฉ ู„ู„ signed ุงู„ุฑู‚ู…
380
+
381
+ 96
382
+ 00:08:06,800 --> 00:08:11,010
383
+ ูŠูƒูˆู† ู…ุซู„ binary number and two is complementูˆ
384
+
385
+ 97
386
+ 00:08:11,010 --> 00:08:14,350
387
+ ุจุงู„ุชุงู„ูŠ ุจูŠูƒูˆู† ุงู„ left ุฃูˆ ุงู„ most significant bit
388
+
389
+ 98
390
+ 00:08:14,350 --> 00:08:20,030
391
+ ู‡ูˆ ุงู„ .. ู‡ูˆ ุงู„ sign ู‡ูˆ ูŠุนู†ูŠ ู‡ูˆ ุงู„ .. ุงู„ sign ูˆ
392
+
393
+ 99
394
+ 00:08:20,030 --> 00:08:22,630
395
+ ุฑู‚ู…ู‡ ู…ุซู„ุง ุจูŠูƒูˆู† .. ูŠุนู†ูŠ ู„ูˆ ูƒุงู† negative ุจูŠูƒูˆู† it
396
+
397
+ 100
398
+ 00:08:22,630 --> 00:08:25,890
399
+ was common ุชุจุนู‡ ุจูŠูƒูˆู† ูŠุนู†ูŠ it was common ู‡ูˆ ุงู„ ..
400
+
401
+ 101
402
+ 00:08:25,890 --> 00:08:31,230
403
+ ุงู„ ู…ูˆุฌูˆุฏ ุนุดุงู† ุชุณุชุฎุฏู… ุงู„ .. ุงู„ two types ู‡ุฏูˆู„ ุงู„
404
+
405
+ 102
406
+ 00:08:31,230 --> 00:08:35,290
407
+ signed ูˆ ุงู„ unsigned ุจุฏุงูƒ ุงู„ package ุชุจุนู‡ู… ..
408
+
409
+ 103
410
+ 00:08:35,290 --> 00:08:39,630
411
+ ุชุจุนุชู‡ู… ุงู„ package ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู„ุนุจุฉ ู‡ุฐู‡ู…ุนู†ุงุชู‡ you
412
+
413
+ 104
414
+ 00:08:39,630 --> 00:08:42,810
415
+ have to use this library closed ุฒูŠ ู‡ุฐูŠ ุงู„ two
416
+
417
+ 105
418
+ 00:08:42,810 --> 00:08:47,610
419
+ closers ู‡ุฏูˆู„ ู‡ุฐูŠ ุงู„ closed ู„ุฃู† ููŠู‡ุง ู…ุนุฑู ุงู„
420
+
421
+ 106
422
+ 00:08:47,610 --> 00:08:51,970
423
+ standard logic ู…ุตุจูˆุท ูˆู„ุง .. ูˆ ู‡ุฐูŠ ู„ุฃู† ููŠู‡ุง ู…ุนุฑู ุงู„
424
+
425
+ 107
426
+ 00:08:51,970 --> 00:08:54,830
427
+ signed ูˆ ุงู„ unsigned ูˆ ูƒู„ element ู…ู† ุงู„ standard
428
+
429
+ 108
430
+ 00:08:54,830 --> 00:08:57,310
431
+ logic ู…ู† ุงู„ signed ูˆ ุงู„ unsigned standard logic
432
+
433
+ 109
434
+ 00:08:57,310 --> 00:09:00,430
435
+ ู…ุนู†ุงุชู‡ ุจุฏู‡ ุชุนุฑูŠูุงุช ุงู„ู„ูŠ ู‡ู†ุง ู…ุด ู‡ูŠูƒ ูˆู„ุง ู‡ู†ุง ู you
436
+
437
+ 110
438
+ 00:09:00,430 --> 00:09:03,410
439
+ have to include these three statements ุนุดุงู† ุชุณุชุฎุฏู…
440
+
441
+ 111
442
+ 00:09:03,410 --> 00:09:06,510
443
+ .. ุนุดุงู† ุชุณุชุฎุฏู… ุงู„ two types ู‡ุฐูˆู„ ุงู„ signed ูˆ ุงู„
444
+
445
+ 112
446
+ 00:09:06,510 --> 00:09:07,950
447
+ unsigned
448
+
449
+ 113
450
+ 00:09:15,630 --> 00:09:20,450
451
+ ุจูŠุดุชุบู„ ุนู„ูŠู‡ู… ุงู„ operators ุงู„ุชุงู„ูŠุฉ ููŠ ุนูŠู†ูƒ ุงู„
452
+
453
+ 114
454
+ 00:09:20,450 --> 00:09:25,830
455
+ absolute ูˆุงู„ุถุฑุจ ูˆ ุงู„ู‚ุณู…ุฉ ูˆ ุงู„ mod ูˆ ุงู„ rim ูˆ ุงู„
456
+
457
+ 115
458
+ 00:09:25,830 --> 00:09:29,530
459
+ addition ูˆ ุงู„ subtraction ู‡ุฏูˆู„ ุงู„ operators are
460
+
461
+ 116
462
+ 00:09:29,530 --> 00:09:33,370
463
+ overloaded ูˆ ู…ุนุฑููŠู† ูƒู„ู‡ู… ุจุฑุถู‡ still ููŠ ู†ูุณ ุงู„
464
+
465
+ 117
466
+ 00:09:33,370 --> 00:09:37,810
467
+ package ูˆ
468
+
469
+ 118
470
+ 00:09:37,810 --> 00:09:40,410
471
+ ุจูŠุดุชุบู„ ุงูŠุด ุงู†ูˆุงุน ุงู„ operands ุงู„ู„ูŠ ุจูŠุฌุจุงู„ูˆู‡ุง ู…ู…ูƒู†
472
+
473
+ 119
474
+ 00:09:40,410 --> 00:09:42,790
475
+ ูŠูƒูˆู† ุงู„ two operands ุทุจุนุง ูƒู„ ูˆุงุญุฏ ู‡ุฏูˆ ุจุฏู‡ ูƒุงู…
476
+
477
+ 120
478
+ 00:09:42,790 --> 00:09:48,610
479
+ operandtwo opions ู…ู…ูƒู†
480
+
481
+ 121
482
+ 00:09:48,610 --> 00:09:52,990
483
+ ูŠูƒูˆู†ูˆุง ุงู„ุงุซู†ูŠู† unsigned ุงูˆ ุงู„ุงุซู†ูŠู† signed ุงูˆ ูˆุงุญุฏ
484
+
485
+ 122
486
+ 00:09:52,990 --> 00:09:55,710
487
+ unsigned ูˆ ูˆุงุญุฏ natural ุงูˆ ูˆุงุญุฏ unsigned ูˆ ูˆุงุญุฏ
488
+
489
+ 123
490
+ 00:09:55,710 --> 00:09:59,990
491
+ integer ูŠุนู†ูŠ ู†ูุณ
492
+
493
+ 124
494
+ 00:09:59,990 --> 00:10:06,070
495
+ ุงู„ operator accept more than one type ู„ู„ operators
496
+
497
+ 125
498
+ 00:10:06,070 --> 00:10:10,690
499
+ ูƒุฐุง combination ู„ุฐู„ูƒ ูู‡ูŠ overloaded
500
+
501
+ 126
502
+ 00:10:14,250 --> 00:10:20,310
503
+ ูˆ ุงู„ mod ุงูŠุดุŸ ู„ุง ุจูŠุฎุชู„ููˆุง ุงู†ุชูˆุง ู…ุชุนูˆุฏูŠู† ู‡ู… they
504
+
505
+ 127
506
+ 00:10:20,310 --> 00:10:23,190
507
+ are different ุงู„ู„ูŠ ู‡ุฌุช ู„ู…ุง ู†ูˆุตู„ ู„ู„ equation ุชุจุนุชู‡ู…
508
+
509
+ 128
510
+ 00:10:23,190 --> 00:10:27,750
511
+ they are different ู…ุชุนูˆุฏูŠู† ุนู„ู‰ ุงู†ู‡ู… similar ูู„ุงูƒ
512
+
513
+ 129
514
+ 00:10:27,750 --> 00:10:30,190
515
+ ู„ุง ุจูŠุฎุชู„ููˆุง ู„ูˆ ุชุฑุฌุน ุงู„ differential action ุชุจุน ุงู„
516
+
517
+ 130
518
+ 00:10:30,190 --> 00:10:34,010
519
+ mod and ุงู„ rim ููŠ ุงู„ mathematics ุชู…ุงู… ููŠ ุงู„ุฑูŠุงุถูŠุงุช
520
+
521
+ 131
522
+ 00:10:34,010 --> 00:10:38,430
523
+ ุญูŠุซ ูŠุฌูŠู‡ู… they are different ุชู…ุงู… ูˆู„ุง .. ุจูŠูƒูˆู†ูˆุง
524
+
525
+ 132
526
+ 00:10:38,430 --> 00:10:41,090
527
+ identical ููŠ ุญุงู„ุฉ ุฎุงุตุฉ ูŠุนู†ูŠ ููŠ ุญูŠุงุฉ ูƒูˆุฑูˆู†ุง ุงู„ุฌุงุฏุฉ
528
+
529
+ 133
530
+ 00:10:41,320 --> 00:10:45,880
531
+ ู„ูƒู† ุฃู…ุง ู…ู† ู†ุงุญูŠุฉ ู‚ุถูŠุงุช ู…ุฎุชู„ููŠู† ุงู„ mod and ุงู„ rim
532
+
533
+ 134
534
+ 00:10:45,880 --> 00:10:52,520
535
+ ู…ุฎุชู„ููŠู† ุชู…ุงู…ุŸ okay ู…ุงุดูŠ ูŠุนู†ูŠ ู„ูˆ two .. two
536
+
537
+ 135
538
+ 00:10:52,520 --> 00:10:59,020
539
+ opinions are integer are .. are positive ุณุชุจุชู„ุน ุงู„
540
+
541
+ 136
542
+ 00:10:59,020 --> 00:11:04,290
543
+ mod and ุงู„ rim ู†ูุณ ุงู„ resultู„ูƒู† ุงุฐุง ุบูŠุฑ ู‡ูŠูƒ ูƒู„
544
+
545
+ 137
546
+ 00:11:04,290 --> 00:11:07,210
547
+ ูˆุงุญุฏ ุงูŠู‡ ู„ู‡ุง ู…ุนุงุฏู„ุฉ ู…ุฎุชู„ูุฉ ุนู† ุงู„ุชุงู†ูŠุฉุŒ ุทุจุนุงุŒ ู‡ูŠูƒ
548
+
549
+ 138
550
+ 00:11:07,210 --> 00:11:09,130
551
+ ู‡ู†ุดูˆู ู‡ูˆ ุงู„ู…ูˆุถูˆุน ู…ุด ู…ูˆุถูˆุนุŒ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน
552
+
553
+ 139
554
+ 00:11:09,130 --> 00:11:11,730
555
+ ุงู„mathematicsุŒ ู„ูƒู† different equation ู…ุฎุชู„ูุฉ ุนู† ..
556
+
557
+ 140
558
+ 00:11:11,730 --> 00:11:16,570
559
+ ู…ุฎุชู„ููŠู† ุนู† .. ุนู† .. ุนู† ุจุนุถุŒ ุงู„ mod and ุงู„ .. ุงู„ ..
560
+
561
+ 141
562
+ 00:11:16,570 --> 00:11:20,880
563
+ ุงู„rimOkay ุงู†ุช ู„ู…ุง ูƒู†ุช ุฎุฏุน ููŠ ุงู„ .. ููŠ ุงู„ .. ุจูŠุนู…ู„
564
+
565
+ 142
566
+ 00:11:20,880 --> 00:11:23,820
567
+ glouches ุงู„ user ุจูŠูƒูˆู† ุงู„ุฑู‚ุงู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ positive ูˆ
568
+
569
+ 143
570
+ 00:11:23,820 --> 00:11:26,400
571
+ ุจูŠู…ุดูŠ ุงู„ุญุงู„ุฉ ุณูˆุงุก ู‡ุฏู‡ ุฃูˆ ู‡ุฏู‡ it works it doesn't
572
+
573
+ 144
574
+ 00:11:26,400 --> 00:11:30,760
575
+ make a difference ู„ูƒู† ุงู†ุช ุจุชูƒูˆู† you are just using
576
+
577
+ 145
578
+ 00:11:30,760 --> 00:11:34,740
579
+ just one case of ุงู„ .. ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู† ุนุดุงู† ู‡ูŠ ูƒุฏู‡
580
+
581
+ 146
582
+ 00:11:34,740 --> 00:11:37,860
583
+ ุจุชุธุจุท ู…ุนุงูƒ ุจู‚ู‰ ุจุนุฏูŠู† ู„ูƒู† ู„ูˆ ูˆุงุญุฏ negative ุงูˆ ุงุชู†ูŠู†
584
+
585
+ 147
586
+ 00:11:37,860 --> 00:11:41,300
587
+ negative ุงูˆ ุฎุดูŠุช ููŠ ุดุบู„ู‡ุง ุฒูŠ ูƒุฏู‡ result are ุงูŠุดุŸ
588
+
589
+ 148
590
+ 00:11:41,300 --> 00:11:45,560
591
+ are different result are different ุนุดุงู† ุงู„ุญุงู„ุฉู‡ูˆ
592
+
593
+ 149
594
+ 00:11:45,560 --> 00:11:52,520
595
+ okay ู…ุงุดูŠ ูููŠู‡ mod ููŠู‡ ุงุด ูˆ ููŠู‡ rim ู‡ูˆ okay ู…ุงุดูŠ ูˆ
596
+
597
+ 150
598
+ 00:11:52,520 --> 00:11:58,460
599
+ ุจุฑุถู‡ ููŠู‡ ูƒู…ุงู† relational operators ุจุฑุถู‡ ู…ุนุฑูุฉ
600
+
601
+ 151
602
+ 00:11:58,460 --> 00:12:02,120
603
+ overloaded ุงู„ู…ุนุฑูุฉ ู…ู…ูƒู† ุงู„ two operands ูŠูƒูˆู†ูˆุง
604
+
605
+ 152
606
+ 00:12:02,120 --> 00:12:05,440
607
+ unsigned ุงูˆ ู„ุชูŠู† signed ุงูˆ ูˆุงุญุฏ signed ูˆุชุงู†ูŠ
608
+
609
+ 153
610
+ 00:12:05,440 --> 00:12:08,440
611
+ natural ุงูˆ ูˆุงุญุฏ unsigned ูˆุชุงู†ูŠ integer
612
+
613
+ 154
614
+ 00:12:19,440 --> 00:12:23,140
615
+ ุงู„ู€ standard logic vector ุงู„ element ุชุจุนู‡ ุงู„ุฃุณุงุณูŠ
616
+
617
+ 155
618
+ 00:12:23,140 --> 00:12:26,840
619
+ standard logic ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ูˆ ูƒุฏู‡ ุงู„ signed ูˆ ุงู„
620
+
621
+ 156
622
+ 00:12:26,840 --> 00:12:30,980
623
+ unsigned ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ู‡ูŠูƒ ุฃู† ุงู„ element ุงู„ุฃุณุงุณูŠ
624
+
625
+ 157
626
+ 00:12:30,980 --> 00:12:34,700
627
+ ุงู„ู…ูƒูˆู† ู„ู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ is the same ูŠุนุชุจุฑูˆุง three
628
+
629
+ 158
630
+ 00:12:34,700 --> 00:12:41,820
631
+ different types ู…ุฎุชู„ููŠู† ุชู…ุงู…ุงูˆุงู„ุชุงู„ูŠ you cannot
632
+
633
+ 159
634
+ 00:12:41,820 --> 00:12:46,900
635
+ assign a value of one type ู…ู† ู‡ุฏูˆู„ ู„ .. ู„ .. ู„
636
+
637
+ 160
638
+ 00:12:46,900 --> 00:12:51,200
639
+ target ู…ู† type ู…ุฎุชู„ู ู…ู† ุงู„ุชู„ุงุชุฉ .. ู…ู† ุงู„ุชู„ุงุชุฉ ..
640
+
641
+ 161
642
+ 00:12:51,200 --> 00:12:54,540
643
+ ู…ู† ุงู„ุงุชู†ูŠู† ุงู„ุชุงู†ูŠุฉ ุจุชุฏูŠู„ูƒ .. ุจูŠู‚ูˆู„ูƒ ุงู„ compiler
644
+
645
+ 162
646
+ 00:12:54,540 --> 00:12:59,480
647
+ ain't compatible ูˆุงู„ุชุงู„ูŠ ุนุดุงู† ุชุนู…ู„ assignment ู„
648
+
649
+ 163
650
+ 00:12:59,480 --> 00:13:03,320
651
+ value of one type ู„ .. ู„ .. ู„ target ู…ู† .. ู…ู† type
652
+
653
+ 164
654
+ 00:13:03,320 --> 00:13:08,260
655
+ ุฃุฎุฑ ู…ู† ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ ู„ุงุฒู… ุชุนู…ู„ some conversion ู„ุงุฒู…
656
+
657
+ 165
658
+ 00:13:08,260 --> 00:13:10,000
659
+ ุชุญูˆู„ ู„ target type
660
+
661
+ 166
662
+ 00:13:15,380 --> 00:13:20,260
663
+ ุจู†ุนู…ู„ .. ุงู„ุชู„ุงุชุฉ ุทุจุนุง ุฏูˆู„ ุจุชุญุฏูŠุฏ ุจูŠุนุชุจุฑูˆู‡ู… closely
664
+
665
+ 167
666
+ 00:13:20,260 --> 00:13:24,680
667
+ related ูŠุนู†ูŠ ุฌุฑุงุจ ูƒุชูŠุฑ ุฅูŠุด ู„ุจุนุถ ู„ุฅู† ุงู„ element
668
+
669
+ 168
670
+ 00:13:24,680 --> 00:13:29,460
671
+ ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ุจูŠูƒูˆู† ุฅูŠู‡ ู„ู‡ู… is .. is standard logic
672
+
673
+ 169
674
+ 00:13:29,460 --> 00:13:32,760
675
+ ..
676
+
677
+ 170
678
+ 00:13:32,760 --> 00:13:38,580
679
+ is standard ุฅูŠุด logic ูˆ ุชุงู„ูŠ ุนุดุงู† ุชุนู…ู„ ุชุญูˆูŠู„
680
+
681
+ 171
682
+ 00:13:38,580 --> 00:13:45,270
683
+ conversion ุจูŠู†ู‡ู…ุจุชุดูˆู ุงู„ target type ุงู„ู„ูŠ ู‡ุชุญูˆู„
684
+
685
+ 172
686
+ 00:13:45,270 --> 00:13:48,430
687
+ ุฅู„ูŠู‡ ุฅูŠุด ุงุณู…ู‡ุŒ ุฅูŠุด ุงู„ type ุชุจุนู‡ ุชุนุชุจุฑู‡ ูƒุฃู†ู‡
688
+
689
+ 173
690
+ 00:13:48,430 --> 00:13:53,610
691
+ function name ุชุงุฎุฏู‡ ู…ู† ู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ูˆุจูŠู† ุฌุซูŠู† ุจุชุญุท
692
+
693
+ 174
694
+ 00:13:53,610 --> 00:14:00,270
695
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ object ุงู„ู„ูŠ ุจุฏูƒ ุชุญูˆู„ู‡ ุฅู„ูŠู‡ ุชู…ุงู…ุŸ ู„ุฃู† ู„ูˆ
696
+
697
+ 175
698
+ 00:14:00,270 --> 00:14:05,330
699
+ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ู…ุซู„ุง ูƒุงู† unsigned ูˆู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ุจุฏูƒ
700
+
701
+ 176
702
+ 00:14:05,330 --> 00:14:10,650
703
+ ุชุญุท ููŠู‡ุจุชุญุท ุงู„ data type ุงู„ู„ูŠ ู†ูˆุนู‡ standard logic
704
+
705
+ 177
706
+ 00:14:10,650 --> 00:14:14,230
707
+ vector ุจูŠู† ุฌุซูŠู† ูˆ ุจุฑู‘ุง ุงู„ุฌุซูŠู† ุจุชูƒุชุจ as ู†ุงุญูŠุฉ
708
+
709
+ 178
710
+ 00:14:14,230 --> 00:14:18,130
711
+ unsigned ูƒุฅู† ู†ุญู† ู†ุฏุนูˆ ุนู…ู„ูŠุฉ a ูƒุฅู† ู†ุญู† ู†ุฏุนูˆ as
712
+
713
+ 179
714
+ 00:14:18,130 --> 00:14:21,570
715
+ ุณุงุนุชู‡ุง ุจูŠุญูˆู„ ุงู„ standard logic vector ุฅู„ู‰ as ุฅู„ู‰
716
+
717
+ 180
718
+ 00:14:21,570 --> 00:14:27,630
719
+ unsigned ูŠุนู†ูŠ
720
+
721
+ 181
722
+ 00:14:27,630 --> 00:14:31,550
723
+ ู…ุซู„ุง ู„ูˆ ู‚ู„ู†ุง ุงู„ x is declared as standard logic
724
+
725
+ 182
726
+ 00:14:31,550 --> 00:14:34,830
727
+ vector ูˆ ุงู„ y unsigned
728
+
729
+ 183
730
+ 00:14:37,990 --> 00:14:42,510
731
+ ุงู„ู€ X is standard vector ูˆ ุงู„ู€ Y ุฃุดู…ุงู„ู‡ inside ู„ูˆ
732
+
733
+ 184
734
+ 00:14:42,510 --> 00:14:49,110
735
+ ู‚ู„ุช ุจุงู„ุดูƒู„ ู‡ุฐุง X ุจูŠุณุงูˆุฉ Y is illegal ู…ุด ู…ุธุจูˆุท ูˆ
736
+
737
+ 185
738
+ 00:14:49,110 --> 00:14:52,970
739
+ ุจุนุฏ ูƒุฏู‡ ุงู„ Y ุจูŠุณุงูˆุฉ X is what is not correct ู„ุฃู†ู‡
740
+
741
+ 186
742
+ 00:14:52,970 --> 00:14:57,090
743
+ ู‚ู„ู†ุง ุจูŠุญุชูˆู‰ different data types ู„ุฃู† ู…ุง ู‚ู„ู†ุง ู‚ุจู„
744
+
745
+ 187
746
+ 00:14:57,090 --> 00:15:01,930
747
+ ู‡ูŠูƒ ุงู† ุงู„ visual is strongly type language ู„ุงุฒู…
748
+
749
+ 188
750
+ 00:15:01,930 --> 00:15:06,450
751
+ ุงู„ุทุฑููŠู† ุชุจุน ุงู„ assignment statement ูŠูƒูˆู†ูˆุง exactly
752
+
753
+ 189
754
+ 00:15:06,450 --> 00:15:09,950
755
+ of the same typeุฃูˆ ุนู„ู‰ ุงู„ุฃู‚ู„ ุงู„ู€ Base Types ูŠูƒูˆู†ูˆุง
756
+
757
+ 190
758
+ 00:15:09,950 --> 00:15:14,670
759
+ the same ู„ูƒู†
760
+
761
+ 191
762
+ 00:15:14,670 --> 00:15:18,770
763
+ ู„ูˆ ุนู…ู„ู†ุง ูƒุฐุง ู„ูˆ
764
+
765
+ 192
766
+ 00:15:18,770 --> 00:15:24,190
767
+ ู‚ู„ู†ุง ู„ู‡ ุงู„ู€ X ุจูŠุณุชุฎุฏู… ุงู„ู€ Vector of Y ุงู„ู€ Y ู‡ู†ุง
768
+
769
+ 193
770
+ 00:15:24,190 --> 00:15:29,210
771
+ ุงูŠุด ุชู‚ูˆู„ู†ุง ุงู†ู‡ุŸ UnsignedุŒ ุตุญุŸ ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ุŒ ูˆ
772
+
773
+ 194
774
+ 00:15:29,210 --> 00:15:34,770
775
+ ุชู„ุงุญุธ ุงู„ู€ Type ู‡ุฐุง ู‡ูˆ ู†ูˆุน ู…ูŠู†ุŸ ุงู„ู€ X ุงุณุชุฎุฏู…ู†ุง ูƒุฅู†ู‡
776
+
777
+ 195
778
+ 00:15:34,770 --> 00:15:40,410
779
+ functionbetween parenthesis ุงู„ู„ูŠ ู‡ูˆ ุงู„ Y ุงู„ู„ูŠ ูŠุนู†ูŠ
780
+
781
+ 196
782
+ 00:15:40,410 --> 00:15:45,170
783
+ ุญูˆู„ู‡ ู„ู„ type ู‡ุฐุง ุงู„ู„ูŠ ุญูˆู„ูŠ ุงู„ unsigned Y ู‡ุฐุง ุงู„ู‰
784
+
785
+ 197
786
+ 00:15:45,170 --> 00:15:48,210
787
+ standard logical vector ุตุงุฑ ุงู„ two types ุชุจุนุช
788
+
789
+ 198
790
+ 00:15:48,210 --> 00:15:53,970
791
+ ุงู„ุทุฑููŠู† ุฃุฑุฏุณูŠู† ูˆุจุงู„ุชุงู„ูŠ ุงู„ assignment is valid ู…ุด
792
+
793
+ 199
794
+ 00:15:53,970 --> 00:16:00,290
795
+ ู‡ูŠูƒ ูˆูƒุฐุง ู‡ู†ุง ุงู„ Y standard logical vector ุงู„ Y
796
+
797
+ 200
798
+ 00:16:00,290 --> 00:16:05,080
799
+ unsigned ูˆุงู„ X standard logical vectorุงู„ูƒุชุงุจุฉ ุบูŠุฑ
800
+
801
+ 201
802
+ 00:16:05,080 --> 00:16:08,280
803
+ ู…ูˆุฌูˆุฏุฉ ู‡ู†ุง ูˆุจุนุฏู‡ุง ุงุนู…ู„ ุงู„ุชุญูˆูŠู„ ุงู„ู…ุธุจูˆุท ูˆูŠุธู‡ุฑ ุงู„ุงุดูŠ
804
+
805
+ 202
806
+ 00:16:08,280 --> 00:16:25,340
807
+ ุญุงุฌุฉ ุชุดุชุบู„ ุชุนู…ู„ ุชู„ุงุญุธ
808
+
809
+ 203
810
+ 00:16:25,340 --> 00:16:29,080
811
+ ุชู‚ูˆู„ู†ุง ุงู„ุชู„ุงุชุฉ types ู‡ุฏูˆุฉ ุบูŠุฑ ู…ูˆุฌูˆุฏุฉ ูˆู…ูˆุฌูˆุฏุฉ
812
+
813
+ 204
814
+ 00:16:29,080 --> 00:16:32,720
815
+ ูˆู…ุณุชุฎุฏู… ูˆ vector ุงู„ element ุงู„ู…ูƒูˆูŠู† ู†ูุณ ุงู„ุงุดูŠูู…ุฑุฉ
816
+
817
+ 205
818
+ 00:16:32,720 --> 00:16:37,840
819
+ ุช .. ู…ู…ูƒู† ูŠุงุฑุฏ ุชู‚ุฑุง ุนุจุงุฑุฉ ุชู‚ูˆู„ in bit vector ู…ุน
820
+
821
+ 206
822
+ 00:16:37,840 --> 00:16:41,100
823
+ ุงู†ู‡ ุงู„ .. ุงู„ elements are standard logic okay
824
+
825
+ 207
826
+ 00:16:41,100 --> 00:16:44,700
827
+ ูุงู„ู„ูŠ ุจูŠุจู‚ู‰ ุจูŠุญุณูŠูƒ .. ูŠุนู†ูŠ ู…ุง ุชูู‡ู…ุด ุนู„ู‰ ุงู†ู‡ ุงู„ bit
828
+
829
+ 208
830
+ 00:16:44,700 --> 00:16:48,540
831
+ ุงู„ู…ูƒูˆู† is bit type ู…ุด ุจูŠู‚ูˆู„ู†ุง ููŠู‡ bit type okay
832
+
833
+ 209
834
+ 00:16:48,540 --> 00:16:52,240
835
+ ูู…ู…ูƒู† ูŠู‚ูˆู„ูƒ in bit vector just in element ุชู…ุงู…
836
+
837
+ 210
838
+ 00:16:52,240 --> 00:16:56,780
839
+ ูุชุฎู„ูŠ ุจุงู„ูƒ ูŠุนู†ูŠ ู…ู† ุงู„ุดุบู„ ู‡ุงุชูŠ ุญุงุฌุฉ ุจุณูŠุทุฉ ู‡ุงุชูŠ ู…ุด
840
+
841
+ 211
842
+ 00:16:56,780 --> 00:16:58,280
843
+ ุดุงูŠููƒูˆุง ุงูˆ ู„ุง okay
844
+
845
+ 212
846
+ 00:17:00,290 --> 00:17:03,870
847
+ ูู…ุด ุดุฑุท ุงู†ู‡ ูŠู‚ูˆู„ูƒ in bit vector ุชูู‡ู… ุนู„ู‰ ุงู† ุงู„ bit
848
+
849
+ 213
850
+ 00:17:03,870 --> 00:17:08,050
851
+ ุงู„ุตุบูŠุฑ is a is bit .. is bit ุงู„ู„ูŠ ู‡ูˆ ุจูŠุณุชุฎุฏู… ูู‚ุท
852
+
853
+ 214
854
+ 00:17:08,050 --> 00:17:11,770
855
+ ุงู„ zero ูˆุงู„ูˆุงุญุฏ ุชู…ุงู… ุงู„ู„ูŠ ุจูŠูˆุถุญ ุทุจุนุง ุงู„ุณูŠุงู‚ ุงู„ ..
856
+
857
+ 215
858
+ 00:17:11,770 --> 00:17:17,650
859
+ ุงู„ูƒู„ุงู… ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ูˆ ู…ูƒุงู† ุงู„ .. ุงู„ ุงุณุชุฎุฏุงู… ููŠ
860
+
861
+ 216
862
+ 00:17:17,650 --> 00:17:23,770
863
+ ุนุงู…ู„ูŠู† ุฅู„ู†ุง functions ูƒุชูŠุฑ ู„ู„ conversion
864
+
865
+ 217
866
+ 00:17:34,740 --> 00:17:39,040
867
+ ุชุญูˆู„ูƒ ู…ุซู„ุง to unsigned ุงูˆ to signed ุงูˆ to integer
868
+
869
+ 218
870
+ 00:17:39,040 --> 00:17:44,940
871
+ ุชุนู…ู„ ุงู„ุชุญูˆูŠู„ ุฒูŠ ู…ุง ุจุฏูƒ ูู…ู…ูƒู† ุชุณุชุฎุฏู…ู‡ู… ุจุฑุถู‡ ุจุฏู„ ู…ุง
872
+
873
+ 219
874
+ 00:17:44,940 --> 00:17:47,620
875
+ ุชุนู…ู„ ู‡ุฐุง ุจูŠุณู…ูˆู‡ ุงู„ุงุดูŠ ู‡ุฐุง casting ู…ุด ู‡ูŠูƒ ูˆู„ุง
876
+
877
+ 220
878
+ 00:17:47,620 --> 00:17:52,640
879
+ ุจูŠุณู…ูˆู‡ ููŠ ุงู„ู„ุบุงุช ุงู„ุนุงุฏูŠุฉ casting ูู…ู…ูƒู† ุชุณุชุฎุฏู…
880
+
881
+ 221
882
+ 00:17:52,640 --> 00:18:00,100
883
+ conversion functions ุนุดุงู† ุชุญูˆู„ูƒ ู…ู† ุฃู†ูˆุงุน ุงุฎุฑู‰ ุฒูŠ
884
+
885
+ 222
886
+ 00:18:00,100 --> 00:18:04,440
887
+ ู…ุง ู‡ู†ุดูˆู ููŠ ุงู„ table ุงู„ุชุงู„ูŠุฉู‡ุฐุง ุงู„ู€ function
888
+
889
+ 223
890
+ 00:18:04,440 --> 00:18:08,100
891
+ ุจุชุญูˆู„ูƒ ุงู„ู„ูŠ ู‡ูŠ between ุงู„ signed ูˆ ุงู„ unsigned ูˆ
892
+
893
+ 224
894
+ 00:18:08,100 --> 00:18:15,800
895
+ ุงู„ integer ุชู…ุงู…ุŸ ูˆ ู„ูŠุดุŸ ูˆ ุงู„ integer ุทุจุนุง
896
+
897
+ 225
898
+ 00:18:15,800 --> 00:18:19,660
899
+ ุงู„ integer ู…ุฎุชู„ูุฉ ุนู† ุงู„ signed ูˆ ุงู„ unsigned ูุจุฏูƒ
900
+
901
+ 226
902
+ 00:18:19,660 --> 00:18:22,160
903
+ ุงู„ู„ูŠ ู‡ูŠ some kind of conversion ุชุณุชุฎุฏู… ุงู„ function
904
+
905
+ 227
906
+ 00:18:22,160 --> 00:18:28,480
907
+ ู‡ุฏูˆู„ ู„ู„ุบุฑุถ ู‡ุฐุง ุทู„ุน
908
+
909
+ 228
910
+ 00:18:28,480 --> 00:18:28,860
911
+ ุนู„ู‰ ุงู„ุชุงุจุน
912
+
913
+ 229
914
+ 00:18:32,260 --> 00:18:37,100
915
+ ุงู„ูู†ุด ุงู„ุฃูˆู„ุงู†ูŠ ุงุณู…ู‡ุง to unsigned it accepts two
916
+
917
+ 230
918
+ 00:18:37,100 --> 00:18:42,140
919
+ parameters ุงู„ุฃูˆู„ุงู†ูŠ ุงู„ integer to be converted
920
+
921
+ 231
922
+ 00:18:42,140 --> 00:18:45,260
923
+ ู‡ูŠุญุงูˆู„ูˆุง
924
+
925
+ 232
926
+ 00:18:45,260 --> 00:18:50,400
927
+ ู„ุงู‚ูŠุงุด ุงู„ unsigned ูˆู„ูƒู† we have to specify ุงู„ุนุฏุฏ
928
+
929
+ 233
930
+ 00:18:50,400 --> 00:18:54,720
931
+ ุงู„ bits ุชุจุน ุงู„ unsigned ุงู„ู„ูŠ ู‡ูŠุทู„ุน ู„ุฐู„ูƒ ุงู„
932
+
933
+ 234
934
+ 00:18:54,720 --> 00:18:58,320
935
+ parameter ุงู„ุชุงู†ูŠ ุนุจุงุฑุฉ ุนู† positive number ุจูŠุญุฏุฏ ุงู„
936
+
937
+ 235
938
+ 00:18:58,320 --> 00:19:02,390
939
+ length ุชุจุน ุงู„ unsignedูˆุงู„ู€ result ุฃูƒูŠุฏ ุจุชูƒูˆู†
940
+
941
+ 236
942
+ 00:19:02,390 --> 00:19:08,810
943
+ return value unsigned ูู‰ true signed ู‡ุฐุง ุจุฑุถู‡ ุญุฏ
944
+
945
+ 237
946
+ 00:19:08,810 --> 00:19:14,530
947
+ ุจูŠุญูˆู„ ู…ู† integer ุฅู„ู‰ sign ุจุฏู‡ parameter ุชุงู†ู‰ ุงู„ู„ู‰
948
+
949
+ 238
950
+ 00:19:14,530 --> 00:19:17,510
951
+ ู‡ูˆ ุจุญุฏ ุงู„ link ุชุจุน ุงู„ sign value ุงู„ู„ู‰ ู‡ุชุทู„ุน
952
+
953
+ 239
954
+ 00:19:17,510 --> 00:19:22,430
955
+ ูˆreturn value ุจุชูƒูˆู† sign
956
+
957
+ 240
958
+ 00:19:25,930 --> 00:19:30,510
959
+ ููŠ ุจูŠ .. to integer ู‡ุฐุง ุจูŠุญูˆู„ูƒ ุณูˆุงุก unsigned ุงูˆ
960
+
961
+ 241
962
+ 00:19:30,510 --> 00:19:38,610
963
+ signed ุฅู„ู‰ ุงูŠู‡ุŸ ุฅู„ู‰ integer ุทุจุนุง ู…ุงุจุฏูˆุด second
964
+
965
+ 242
966
+ 00:19:38,610 --> 00:19:42,710
967
+ parameter ูˆ ุจูŠุฑุฌุน ุงู†ุชุฌุงุฑ ู„ูŠุด ู‡ุฐุง ู…ุงุจุฏูˆุด second
968
+
969
+ 243
970
+ 00:19:42,710 --> 00:19:51,870
971
+ parameterุŸ ู…ู† ุงูŠุดุŸ ู‡ู†ุงุŸ
972
+
973
+ 244
974
+ 00:19:52,840 --> 00:19:55,600
975
+ ู„ุฃ ู‡ู†ุง ุฏุงุฆู…ุง ุงู„ parameter ู‡ุฐุง ุงู„ link ุชุจุน ุงู„
976
+
977
+ 245
978
+ 00:19:55,600 --> 00:20:00,340
979
+ result ู…ุง ู‡ูˆ ุงู„ link .. ุงู„ integer ุงู„ู„ูŠ ุซุงุจุช ุฌุฏุด
980
+
981
+ 246
982
+ 00:20:00,340 --> 00:20:04,060
983
+ ุงูŠูˆุฉ ุฌุฏุด ุงู„ link ุชุจุน ุงู„ word typically ุงูŠูˆุฉ ู…ุด
984
+
985
+ 247
986
+ 00:20:04,060 --> 00:20:08,580
987
+ ุญุงุฌุฉ ุฏู‡ ุฌูˆุงู‡ ุทุจุนุง ู‡ู†ุง ู‡ุงุฑุฌุนู„ูƒ ู‡ุฐู‡ ุณูˆุงุก ูƒุงู†ุช ุงุฑุจุนุฉ
988
+
989
+ 248
990
+ 00:20:08,580 --> 00:20:11,540
991
+ bits ุงูˆ ุชู…ุงู†ูŠุฉ ุงูˆ ุฒูŠ ู…ุง ุชูƒูˆู† ู‡ูŠุญูˆู„ู‡ุง ูŠุงุด ุงู„
992
+
993
+ 249
994
+ 00:20:11,540 --> 00:20:13,880
995
+ integer ู‡ุชุงุฎุฏ ู…ู…ูˆุฑู‰ ูƒุงู… ู„ูˆ ู‡ุญุทู‡ุง ููŠ ุงู„ู…ู…ูˆุฑู‰ ุงุฐุง
996
+
997
+ 250
998
+ 00:20:13,880 --> 00:20:18,940
999
+ ู‡ุญุทู‡ุง ููŠ ุงู„ู…ู…ูˆุฑู‰ ุงุฑุจุนุฉ bytes ู‡ูŠูƒูˆู† ุงุฑุจุนุฉ ูŠุงุด ุงุฑุจุนุฉ
1000
+
1001
+ 251
1002
+ 00:20:18,940 --> 00:20:21,240
1003
+ bytes okay ู…ุงุดูŠ
1004
+
1005
+ 252
1006
+ 00:20:25,410 --> 00:20:34,110
1007
+ ุทุจ ู„ูˆ ู‚ู„ู†ุง ุงู„ I ุฅู†ุชุฌุงุฑ ูˆ ุงู„ Y Unsigned ุชู…ุงู†ูŠุฉ ุจูŠุชุฒ
1008
+
1009
+ 253
1010
+ 00:20:34,110 --> 00:20:42,270
1011
+ ุดูˆู ุนุดุงู† ู†ุนู…ู„ assignment ู…ู† ุงู„ I ู„ุบุงูŠุฉ ุงู„ Y ุงู„ I
1012
+
1013
+ 254
1014
+ 00:20:42,270 --> 00:20:48,270
1015
+ ู‚ู„ู†ุง ุนู„ูŠู‡ุง ุฅู†ุชุฌุงุฑ ู†ุญุงูˆู„ู‡ ู„ Unsigned ู„ุฐู„ูƒ ุจุฏูƒ ุงู„
1016
+
1017
+ 255
1018
+ 00:20:48,270 --> 00:20:51,510
1019
+ two unsigned function ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ู„ุง ู†ูุนุด ุชุนู…ู„
1020
+
1021
+ 256
1022
+ 00:20:51,510 --> 00:20:54,900
1023
+ castingู‡ุฐุง ุงู„ characteristic ู…ุนู…ูˆู„ ู„ู€ closed layer
1024
+
1025
+ 257
1026
+ 00:20:54,900 --> 00:21:01,400
1027
+ related ู„ู€ closed layer related ู to unsigned I we
1028
+
1029
+ 258
1030
+ 00:21:01,400 --> 00:21:04,380
1031
+ are parsing ุงู„ I ุงู„ integer ุทูŠุจ ุงู„ Y ุฌุฏุงุด ุงู„
1032
+
1033
+ 259
1034
+ 00:21:04,380 --> 00:21:08,000
1035
+ length ุชุจุนู‡ ุฏูŠ declare ุนู„ูŠู‡ู… ุชู…ุงู†ูŠุฉ ู„ุฐู„ูƒ ู„ุงุฒู… ุงู„
1036
+
1037
+ 260
1038
+ 00:21:08,000 --> 00:21:12,700
1039
+ length ู‡ูŠูƒูˆู† ูƒุงู… ู…ุงู†ูุนุด ูŠูƒูˆู† ู…ุด ุชู…ุงู†ูŠุฉ ู‡ูŠู‚ูˆู„ูƒ
1040
+
1041
+ 261
1042
+ 00:21:12,700 --> 00:21:16,760
1043
+ incompatible ู„ุงุฒู… ูŠูƒูˆู† ุงู„ to ุงู„ that same air that
1044
+
1045
+ 262
1046
+ 00:21:16,760 --> 00:21:18,380
1047
+ same length
1048
+
1049
+ 263
1050
+ 00:21:21,270 --> 00:21:29,610
1051
+ ู„ูƒู† ู„ูˆ ุงู„ X ูƒุงู† standard logic vector ู…ุงููŠุด
1052
+
1053
+ 264
1054
+ 00:21:29,610 --> 00:21:31,670
1055
+ ู…ุด ู…ุฏูŠู†ุฉ function ุจุชุชุญูˆู„ ู…ู† integer ู„ standard
1056
+
1057
+ 265
1058
+ 00:21:31,670 --> 00:21:37,030
1059
+ logic vector ุจุดูƒู„ ู…ุจุงุดุฑ ุฐู„ูƒ ุงุชู„ุงุญุธ ููŠ ุงู„ุฃูˆู„ ุญูˆู„ ุงู„
1060
+
1061
+ 266
1062
+ 00:21:37,030 --> 00:21:42,610
1063
+ I ู„ unsigned ุงู„ I ุงู†ุชุฌุฑ ุจุชุชุญูˆู„ ู…ู† function to
1064
+
1065
+ 267
1066
+ 00:21:42,610 --> 00:21:46,030
1067
+ unsigned ูˆ ุงู„ X ู„ูˆ ู‚ู„ู†ุง ุชู…ุงู†ูŠุฉ ุจุชุด ูˆุฌู‡ู†ุง ุงูŠุด
1068
+
1069
+ 268
1070
+ 00:21:46,030 --> 00:21:52,010
1071
+ ุชู…ุงู†ูŠุฉ ู‡ุฌูŠุจุงู„ู†ุชูŠุฌุฉ unsigned ุชู‚ุฏุฑ ุชุนู…ู„ casting ูˆ
1072
+
1073
+ 269
1074
+ 00:21:52,010 --> 00:21:54,510
1075
+ ุชุญูˆูŠู„ู‡ุง ุฅูŠุด ุงู„astrological vector ู„ุฃู†
1076
+
1077
+ 270
1078
+ 00:21:54,510 --> 00:21:56,310
1079
+ ุงู„astrological vector and ุงู„ unsigned are closely
1080
+
1081
+ 271
1082
+ 00:21:56,310 --> 00:22:00,210
1083
+ related ู…ุด ู‡ูŠูƒ ูˆ ู„ุงุŸ ุงูŠู‡ ู†ุนู… ูˆ ู‡ุงุฏ ุงู„astrological
1084
+
1085
+ 272
1086
+ 00:22:00,210 --> 00:22:03,270
1087
+ vector ุตุงุฑุช ุนู„ู‰ ุจุนุถ ุฅุฐุง ุฅูŠุด is compatible ู…ุงููŠุด
1088
+
1089
+ 273
1090
+ 00:22:03,270 --> 00:22:10,130
1091
+ problem ู…ุด ู‡ูŠูƒ ูˆ ู„ุงุŸ okay ู…ุงุดูŠ
1092
+
1093
+ 274
1094
+ 00:22:10,130 --> 00:22:16,730
1095
+ ุงู„
1096
+
1097
+ 275
1098
+ 00:22:16,730 --> 00:22:17,790
1099
+ composite letter
1100
+
1101
+ 276
1102
+ 00:22:21,020 --> 00:22:24,360
1103
+ ุนุจุงุฑุฉ ุนู† array ุฃูˆ record ุงูˆ record ู…ูƒูˆู‘ู† ู…ู†
1104
+
1105
+ 277
1106
+ 00:22:24,360 --> 00:22:33,380
1107
+ literal values ูˆ
1108
+
1109
+ 278
1110
+ 00:22:33,380 --> 00:22:36,360
1111
+ ุงู„ุชุงู„ูŠ ู…ู…ูƒู† composite literal ุจุชุนู…ู„ู‡ assignment ู„
1112
+
1113
+ 279
1114
+ 00:22:36,360 --> 00:22:41,260
1115
+ array ุฃูˆ ุชุณุชุฎุฏู…ู‡ ููŠ ุฃูŠ expression ุชู…ุงู… ูˆู„ุงุŸ ู†ุดูˆู
1116
+
1117
+ 280
1118
+ 00:22:41,260 --> 00:22:47,420
1119
+ ุฃู…ุซู„ุฉ ุนู„ูŠู‡ุง ููŠ ุงู„ string literalุงู„ู€ string letter
1120
+
1121
+ 281
1122
+ 00:22:47,420 --> 00:22:52,140
1123
+ ุนุจุงุฑุฉ ุนู† sequence of printable characters graphics
1124
+
1125
+ 282
1126
+ 00:22:52,140 --> 00:22:55,260
1127
+ of characters printable ูŠุนู†ูŠ ุจุชุญุทู‡ู… between
1128
+
1129
+ 283
1130
+ 00:22:55,260 --> 00:23:02,660
1131
+ quotation marks between double quotation marks ู„ูˆ
1132
+
1133
+ 284
1134
+ 00:23:02,660 --> 00:23:05,800
1135
+ ุจุฏูƒ ุงู„ quotation ุงู„ double quotation ู‡ุฐูŠ ุชูƒูˆู† ุฌุฒุก
1136
+
1137
+ 285
1138
+ 00:23:05,800 --> 00:23:08,240
1139
+ ู…ู† ุงู„ string ุจุชุญุทู‡ุง ู…ุฑุชูŠู† ูˆุฑุง ุจุนุถ ู‡ุฐุง ู…ุนุฑูˆู ู…ุดูƒู„ุฉ
1140
+
1141
+ 286
1142
+ 00:23:08,240 --> 00:23:12,000
1143
+ ูˆู„ุง ุจุชูƒุฑุฑู‡ุง ุงู„ู„ูŠ ููŠ ุงู„ู…ุฑุชูŠู† ูˆุฑุง ุจุนุถ without space
1144
+
1145
+ 287
1146
+ 00:23:12,000 --> 00:23:18,210
1147
+ ุจูŠู†ู‡ู…ู‚ุฏุฑุณ ู‚ูŠู…ุฉ string literal ู‡ูˆ ู†ูุณ ุงู„ุฃุญุฑู
1148
+
1149
+ 288
1150
+ 00:23:18,210 --> 00:23:23,130
1151
+ ุงู„ู…ูƒูˆู†ุฉ ู„ู„ .. ู„ู„ string ุจุณ ุจุชุดูŠู„ ุงู„ุงุด ุงู„ quotation
1152
+
1153
+ 289
1154
+ 00:23:23,130 --> 00:23:30,650
1155
+ marks ู„ูˆ ููŠ double quotation ูˆุฑุง ุจุนุถ ูŠุนู†ูŠ ุจูŠุนุชุจุฑูˆุง
1156
+
1157
+ 290
1158
+ 00:23:30,650 --> 00:23:35,090
1159
+ ุงุด ูˆุงุญุฏุฉ ูู‡ุฐุง ูŠุนุชุจุฑ ู‚ูŠู…ุฉ ุงุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ string
1160
+
1161
+ 291
1162
+ 00:23:35,090 --> 00:23:39,010
1163
+ literal ุงู„ link ุชุจุน ุงู„ string literal ู‡ูˆ ุนุฏุฏ ุงู„
1164
+
1165
+ 292
1166
+ 00:23:39,010 --> 00:23:41,530
1167
+ characters ุงู„ู„ูŠ ููŠ ุงู„ sequence ุงู„ู…ูƒูˆู†ุฉ ู„ู„ .. ู‡ุฐุง
1168
+
1169
+ 293
1170
+ 00:23:41,530 --> 00:23:53,350
1171
+ ุจุนุฏ ู…ุง ุชุดูŠู„ ุทุจุนุง ุงุดุงู„ู„ูŠ ู‡ูŠ ุงู„ double quotes ุฅุฐุง
1172
+
1173
+ 294
1174
+ 00:23:53,350 --> 00:23:57,630
1175
+ ุฃู†ุช ู…ุญุชุงุฌ ุชุนู…ู„ singletary ู„ุงุฒู… ูŠูƒูˆู† ููŠ ุณุทุฑ ูˆุงุญุฏ
1176
+
1177
+ 295
1178
+ 00:23:57,630 --> 00:24:03,370
1179
+ ู…ุฑุงุช ุจุฏู†ุง ู†ุทู„ุน ู…ุซู„ุง some message ุนู„ู‰ ุงู„ screen
1180
+
1181
+ 296
1182
+ 00:24:03,370 --> 00:24:06,110
1183
+ ุจุชูƒูˆู† ุทูˆูŠู„ุฉ ูƒุชูŠุฑ it cannot fit in one line
1184
+
1185
+ 297
1186
+ 00:24:06,110 --> 00:24:08,450
1187
+ singletary ูŠุนู†ูŠ ุทุจ ู…ุด ุดุงูŠููƒ ูˆู„ุง ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฅูŠุด
1188
+
1189
+ 298
1190
+ 00:24:08,450 --> 00:24:13,670
1191
+ ุจุชุณูˆูŠู…ู…ูƒู† ูŠุนู†ูŠ ุงุชุฌุฒุฆู‡ุง ูˆ ุชุนู…ู„ู‡ุง concatenation
1192
+
1193
+ 299
1194
+ 00:24:13,670 --> 00:24:18,770
1195
+ ุจุงุณุชุฎุฏุงู… ุงู„ concatenation ุฅูŠู‡ุด ููŠ operator ุจุชุนู…ู„
1196
+
1197
+ 300
1198
+ 00:24:18,770 --> 00:24:21,910
1199
+ ููŠ ุงู„ุฃูˆู„ substring ูˆ ูƒู…ุงู† substring ูˆ ุจุนุฏูŠู†
1200
+
1201
+ 301
1202
+ 00:24:21,910 --> 00:24:24,390
1203
+ concatenate ูุจูŠุทู„ุน ูƒู„ู‡ ุฃุฌู„ ู…ู† ุฅูŠู‡ุด ู…ู† ุณุทุฑ ู…ุด ู‡ูŠูƒ
1204
+
1205
+ 302
1206
+ 00:24:24,390 --> 00:24:26,230
1207
+ ูˆู„ุง ูƒู„ ูˆุงุญุฏ ุงู„ู„ูŠ ุญุงู„ .. ุชุนุชุจุฑ ุฃุฌู„ ุฅูŠู‡ุด ูƒู„ ูˆุงุญุฏ
1208
+
1209
+ 303
1210
+ 00:24:26,230 --> 00:24:29,710
1211
+ ุงู„ู„ูŠ ุญุงู„ ุงู„ statement ูุงุตู„ุฉ ุตูุฉ ุงู„ statement ุจู‚ู‰ ูˆ
1212
+
1213
+ 304
1214
+ 00:24:29,710 --> 00:24:36,380
1215
+ ุจุนุฏูŠู† ุจุชุนู…ู„ concatenationุชู…ุงู…ุŸ ู„ูƒู† ุฅู†ู‡ ุงู„ string
1216
+
1217
+ 305
1218
+ 00:24:36,380 --> 00:24:46,420
1219
+ letter ุงู„ูˆุงุญุฏ ูŠุชุฎุทู‰ ุณุทุฑ ู…ุง ู‡ูˆุด ู…ุณู…ูˆุญุŒ ุชู…ุงู…ุŸ
1220
+
1221
+ 306
1222
+ 00:24:46,420 --> 00:24:51,000
1223
+ ุทูŠุจ ุงู„
1224
+
1225
+ 307
1226
+ 00:24:51,000 --> 00:24:54,280
1227
+ character string letter ุนุจุงุฑุฉ ุนู† string letter
1228
+
1229
+ 308
1230
+ 00:24:54,280 --> 00:24:57,080
1231
+ ู…ูƒูˆู†ุฉ ูู‚ุท ุฅูŠุด ู…ู† .. ู…ู† characters
1232
+
1233
+ 309
1234
+ 00:25:04,620 --> 00:25:07,580
1235
+ ุฒูŠ ู…ุซู„ุง ุงู„ message ุงู„ string literal ุงู„ู„ูŠ ุจูŠู‚ูˆู„ู‡
1236
+
1237
+ 310
1238
+ 00:25:07,580 --> 00:25:12,780
1239
+ ู‚ุฏุงู…ูƒ ู‡ุชุณุชููŠุฏ ู…ู…ูƒู† ุชุณุชุฎุฏู… character ุงู„ string
1240
+
1241
+ 311
1242
+ 00:25:12,780 --> 00:25:16,880
1243
+ literal ุจุฅู†ูƒ ุชุนู…ู„ assignment ู„ standard logic
1244
+
1245
+ 312
1246
+ 00:25:16,880 --> 00:25:21,320
1247
+ vector ุจุณ ุจุดุฑุท ุฃู† ูŠูƒูˆู† ูƒู„ character ุฏุงุฎู„ูƒ ุชุฑูƒูŠุจ ุงู„
1248
+
1249
+ 313
1250
+ 00:25:21,320 --> 00:25:23,800
1251
+ string ู…ู† ุงู„ characters ุงู„ู…ุณู…ุญูŠู† ููŠ ุงู„ standard
1252
+
1253
+ 314
1254
+ 00:25:23,800 --> 00:25:28,800
1255
+ logic ุงู„ุชุณุน ุงู„ู„ูŠ ุงุญู†ุง ุนุงุฑููŠู†ู‡ ู„ุฐู„ูƒ assignment ู…ู†
1256
+
1257
+ 315
1258
+ 00:25:28,800 --> 00:25:37,160
1259
+ .. ุฒูŠ ู‡ุฐู‡ is okay ู…ุด ู‡ูŠูƒูู‡ุฐุง string literal ูˆูƒูˆู†
1260
+
1261
+ 316
1262
+ 00:25:37,160 --> 00:25:40,760
1263
+ ู…ู† characters ูู‚ุท ูˆ ุงู„ characters ู‡ุฏูˆู„ ุชุจู‚ู‰ ูƒู„
1264
+
1265
+ 317
1266
+ 00:25:40,760 --> 00:25:44,660
1267
+ ูˆุงุญุฏุฉ ู…ู†ู‡ู… zzz ู…ู† ุงู„ุชุณุนุฉ ุชุจุนู‡ ู…ู† ุงู„ standard logic
1268
+
1269
+ 318
1270
+ 00:25:44,660 --> 00:25:51,140
1271
+ vector ุงู„ู„ูŠ ุงุญู†ุง ุนุงุฑููŠู†ู‡ ู it is valid ุงู„
1272
+
1273
+ 319
1274
+ 00:25:51,140 --> 00:25:55,160
1275
+ bit string literal ุจุญุงู„ุฉ
1276
+
1277
+ 320
1278
+ 00:25:55,160 --> 00:26:00,420
1279
+ ุฎุงุตุฉ ู…ู† ุงู„ string literal ู†ุณุชุฎุฏู…ู‡ุง ู„ุชู…ุซูŠู„ ุงู„ bit
1280
+
1281
+ 321
1282
+ 00:26:00,420 --> 00:26:07,740
1283
+ valuesูƒ binary ุงูˆ octal ุงูˆ hexadecimal ุงู„ูƒุงุฆูƒุชุฑุงุช
1284
+
1285
+ 322
1286
+ 00:26:07,740 --> 00:26:11,160
1287
+ ุงู„ู…ุณู…ูˆุญ ุชุณุชุฎุฏู…ู‡ู… ููŠ ุงู„ bit string letter ู‡ู…
1288
+
1289
+ 323
1290
+ 00:26:11,160 --> 00:26:18,080
1291
+ ุงู„ุชุงู„ูŠุฉ ุงู„ digits zero to nine ูˆ ุงู„ุฃุญุฑู small ู…ู† a
1292
+
1293
+ 324
1294
+ 00:26:18,080 --> 00:26:25,220
1295
+ ู„f ุงูˆ capital ู…ู† a ู„f ูˆู„ูƒู† ู„ุงุฒู… ุงู„ bit string
1296
+
1297
+ 325
1298
+ 00:26:25,220 --> 00:26:31,610
1299
+ letter ุชุตุจูŠู‚ู‡ุง some prefix ุงู…ุง ุจูŠูŠุนู†ูŠ binary ุงูˆ O
1300
+
1301
+ 326
1302
+ 00:26:31,610 --> 00:26:39,270
1303
+ ูŠุนู†ูŠ ุงูƒุชุฑ ุงูˆ X ู„ู„ูŠู‡ุŸ ู„ู„ X decimal ุณูˆุงุก lower case
1304
+
1305
+ 327
1306
+ 00:26:39,270 --> 00:26:42,490
1307
+ ุงูˆ upper case it works ูŠุนู†ูŠ ุจู†ูุน ุจุฏู„ capital B
1308
+
1309
+ 328
1310
+ 00:26:42,490 --> 00:26:46,910
1311
+ ุชุณุชุฎุฏู… small b ุงูˆ small a ุงูˆ small x ู…ุง ุชูุฑุฌุด
1312
+
1313
+ 329
1314
+ 00:26:52,610 --> 00:26:56,850
1315
+ ู‚ู„ุชู„ูŠ ู„ูˆ ุงู†ุช ุงุณุชุฎุฏู…ุช ุฌุงุจู‡ ุงู„ู„ูŠ ู‡ู‚ู„ ุจูŠู‡ ู„ุงุฒู… ุงู„
1316
+
1317
+ 330
1318
+ 00:26:56,850 --> 00:27:00,030
1319
+ characters ูŠูƒูˆู† ู…ุณู…ูˆุญ ููŠ ุงู„ string ูŠุง zero ูˆ ูŠุง
1320
+
1321
+ 331
1322
+ 00:27:00,030 --> 00:27:05,330
1323
+ ูˆุงุญุฏ ู„ูˆ ุงู‚ุชู„ ุงู„ุฃุฑู‚ุงู… ู…ู† ุตูุฑ ู„ุณุจุนุฉ ู‡ุฐุง ูˆุงุณู… ูŠุฏูŠู„ูƒ
1324
+
1325
+ 332
1326
+ 00:27:05,330 --> 00:27:10,950
1327
+ error ูŠุนู†ูŠ ู„ูˆ ุฌุงูŠู„ู‡ ุงู†ุง ุงู‚ุชู„ ุงูˆ ูˆ ุจุนุฏูŠู† double
1328
+
1329
+ 333
1330
+ 00:27:10,950 --> 00:27:15,390
1331
+ quotation ูˆ ูƒุชุงุจุฉ ุฃุญุฑู ููŠ ุฅุดูŠ ู…ู†ู‡ุง ู…ุด ู…ู† ุงู„ุฃุฑู‚ุงู…
1332
+
1333
+ 334
1334
+ 00:27:15,390 --> 00:27:18,390
1335
+ ู…ู† ุตูุฑ ู„ุณุจุนุฉ you must accept ูˆูŠู‚ูˆู„ูƒ ููŠ ุนู†ุฏูƒ
1336
+
1337
+ 335
1338
+ 00:27:18,390 --> 00:27:22,900
1339
+ problem ุชู…ุงู…ุŸ ูŠุนู†ูŠ ุงู†ุช ุฌุงูŠู„ูŠ ุงู‚ุชู„ูˆ ูƒุฏู‡ ุจุงู„ู†ุณุจุฉ
1340
+
1341
+ 336
1342
+ 00:27:22,900 --> 00:27:27,360
1343
+ ู„ู„ู‡ูŠูƒุณ ุงู„ู‡ูŠูƒุณ ุงู„ุฃุฑู‚ุงู… ู…ู† ุตูุฑ ู„ุชุณุนุฉ ูˆุงู„ุฃุญูˆ ู…ู† A to
1344
+
1345
+ 337
1346
+ 00:27:27,360 --> 00:27:36,260
1347
+ F Small ุฃูˆ Capital ุฌุฏู‘ูŠุด
1348
+
1349
+ 338
1350
+ 00:27:36,260 --> 00:27:44,300
1351
+ ู‚ูŠู…ุฉ ุงู„ bit string ุงู„ bit string ู„ูˆ ู‡ูŠ binary
1352
+
1353
+ 339
1354
+ 00:27:44,300 --> 00:27:49,320
1355
+ ุนุงุฏูŠุฉ ู‚ูŠู…ุชู‡ุง ู†ูุณ ุงู„ูƒุนูƒุณ ุงู„ู„ูŠ ูƒู†ุง ู†ู‚ู„ู‡ุง ุจุนุฏ ู…ุง ู†ุดูŠู„
1356
+
1357
+ 340
1358
+ 00:27:49,320 --> 00:27:53,450
1359
+ ุงู„ double cost ุทุจุนุงู„ูƒู† ุงุฐุง ูƒุงู†ุช ุงูƒุชู„ ุจุนุฏ ู…ุง ุชูุฑุฏ
1360
+
1361
+ 341
1362
+ 00:27:53,450 --> 00:27:57,150
1363
+ ูƒู„ ุฑู‚ู… ู…ู†ู‡ู… ุงู„ู‰ ุชู„ุงุชุฉ ุจูŠุชุฒ ุจูŠุธู‡ุฑ ู„ูƒ ุจุงูŠู†ุงู„ูŠ ุณูŠู†ุฌ
1364
+
1365
+ 342
1366
+ 00:27:57,150 --> 00:28:01,150
1367
+ ููŠ ุงู„ุงุฎุฑ ู…ุดุงูƒ ูˆ ู„ุง ู‡ุฐู‡ ู‚ูŠู…ุฉ ุงู„ุตูŠู† ู„ูˆ ูƒุงู†ุช ู‡ูƒุณุง
1368
+
1369
+ 343
1370
+ 00:28:01,150 --> 00:28:05,370
1371
+ ุฏูŠุณู…ุงู„ ุจุนุฏ ู…ุง ุชูุฑุฏ ูƒู„ ุฌูŠุช ุงู„ู‰ ูƒุงู… ุจูŠุช ุงู„ู‰ ุฃุฑุจุน
1372
+
1373
+ 344
1374
+ 00:28:05,370 --> 00:28:15,330
1375
+ ุจูŠุชุฒ ู‡ุฐู‡ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุชุจุนุช๏ฟฝ๏ฟฝุง ู„ูˆ
1376
+
1377
+ 345
1378
+ 00:28:15,330 --> 00:28:19,860
1379
+ ู‚ู„ู†ุง ููŠ ุงู†ุฏูŠ ุณูŠุฌู†ุงู„ ุงุณู…ู‡ addressูˆ ู‡ุฐู‡ ูƒุงู†ุช
1380
+
1381
+ 346
1382
+ 00:28:19,860 --> 00:28:27,940
1383
+ standard logic vector ูˆ ุชู…ุงู†ูŠุฉ bits statement ุฒูŠ
1384
+
1385
+ 347
1386
+ 00:28:27,940 --> 00:28:32,320
1387
+ ู‡ุฐู‡ is valid ุดูˆู ู‡ู†ุง ู„ูˆ ุงุฏุณ ุจูŠุณุงูˆูŠ ุจูŠู‡ ูŠุนู†ูŠ ุงูŠุด
1388
+
1389
+ 348
1390
+ 00:28:32,320 --> 00:28:38,080
1391
+ binary ูˆู„ูƒู† ุจู…ุง ุงู†ู‡ binary ุชู„ุงุญุธ ุนู„ู‰ ุงู„ characters
1392
+
1393
+ 349
1394
+ 00:28:38,080 --> 00:28:42,000
1395
+ ุงู„ู„ูŠ ุฌูˆุง ุงู„ double cross ุงุฎุชุตุฑ ุนู„ูŠุด ุนู„ู‰ ุงู„ zero ูˆ
1396
+
1397
+ 350
1398
+ 00:28:42,000 --> 00:28:42,860
1399
+ ุงู„ ูˆุงุญุฏ
1400
+
1401
+ 351
1402
+ 00:28:46,260 --> 00:28:51,920
1403
+ ู„ุฃู†ู‡ ุฃู†ุง ุฌุงูŠู„ ูˆ ุงูŠุงุด ุจูŠู†ุงุฑูŠ ู‡ู†ุง ู„ูˆ ุงุฏุณ ุจูŠุณุงูˆูŠ X
1404
+
1405
+ 352
1406
+ 00:28:51,920 --> 00:28:57,020
1407
+ ูŠุนู†ูŠ ู‡ูŠุด ู‡ูƒุณุฉ decimal ุทุจ ุนุฏ ููŠ ุงู„ุฃูˆู„ ู‡ุฐูˆู„ ูƒุงู… ุจุช
1408
+
1409
+ 353
1410
+ 00:28:57,020 --> 00:29:00,020
1411
+ ู„ูˆ ุนุฏูŠุช ู‡ุชู„ุงู‚ูŠู‡ู… ูƒุงู… ุชู…ุงู†ูŠุฉ ูˆ ุชุงู„ูŠ ุงู„ู…ูุฑูˆุถ ูŠุนู†ูŠ
1412
+
1413
+ 354
1414
+ 00:29:00,020 --> 00:29:03,360
1415
+ ูŠูƒูˆู† length ูŠูƒูˆู† ูƒุงู… ุนุดุงู† ูŠูƒูˆู† compatible ุชูƒูˆู† it
1416
+
1417
+ 355
1418
+ 00:29:03,360 --> 00:29:11,340
1419
+ is valid ุงู„ statement ู‡ุฐูŠ ุงู„ุฑู‚ู… ุงู„ string ู‡ุฐูŠ ู‡ูƒุณ
1420
+
1421
+ 356
1422
+ 00:29:11,340 --> 00:29:15,860
1423
+ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุจูŠุช ุงู„ string letterูˆ ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ุฌูŠู‡ุง
1424
+
1425
+ 357
1426
+ 00:29:15,860 --> 00:29:22,560
1427
+ ุงู„ู…ุฎูˆุฐ ูŠู†ุธุฑ ุนู„ูŠ ุงู†ู‡ุง X ู„ุฅู†ู‡ ุฌุงู„ู‡ ู‡ู†ุง X ูˆ ุจุนุฏูŠู† ูƒู„
1428
+
1429
+ 358
1430
+ 00:29:22,560 --> 00:29:27,880
1431
+ ุฑู‚ู… ู‡ุฏูˆู„ ุจู†ูุฑุถ ุจูŠุตูŠุฑ ูƒุงู… ุจูŠุชุŸ ุฃุฑุจุน ุงู„ุณุงุนุฉ ุชุตูŠุฑ
1432
+
1433
+ 359
1434
+ 00:29:27,880 --> 00:29:32,680
1435
+ 0111 ูˆ ุชุณุนุฉ 1001 ุฏูŠ ุงู„ู„ูŠ ูƒุชุจู†ุง ุจุงุณู… ุดุงูƒูˆู‡ุง ุฏู‡
1436
+
1437
+ 360
1438
+ 00:29:32,680 --> 00:29:42,840
1439
+ ู…ุนู†ุงุชู‡ ู‡ุฐูŠ ุจุฑุถู‡ is valid ู„ูƒู† statement ุฒูŠ ู‡ุฐู‡ is
1440
+
1441
+ 361
1442
+ 00:29:42,840 --> 00:29:43,540
1443
+ not valid
1444
+
1445
+ 362
1446
+ 00:29:46,610 --> 00:29:49,990
1447
+ ู„ุดุŸ ูŠุนู†ูŠ ู‡ุงุฏู‰ ู†ูุณู‡ุง ู„ุญุงู„ู‡ุง ุงู„ expression is okay
1448
+
1449
+ 363
1450
+ 00:29:49,990 --> 00:29:55,830
1451
+ valid ู„ูƒู† ุงู„ assignment ุนู„ู‰ ุจุนุถ is invalid ู„ุดุŸ
1452
+
1453
+ 364
1454
+ 00:29:55,830 --> 00:30:03,650
1455
+ ุนุธูŠู…ุŒ
1456
+
1457
+ 365
1458
+ 00:30:03,650 --> 00:30:10,590
1459
+ ุชู…ุงู…ุŸ ู„ุฃู† ู‡ุฐุง ุฃูƒุชุฑุŒ ุงู„ูˆุงุญุฏ ูƒุงู† ุจุชุนุชุจุฑ ุชู„ุช
1460
+
1461
+ 366
1462
+ 00:30:11,920 --> 00:30:14,920
1463
+ ุชู„ุงุชุฉ ููŠ ุชู„ุงุชุฉ ุชุณุนุฉ ูˆ ู‡ู†ุง ุงู„ link ุชุจู‚ู‰ ูˆ ูƒุงู…
1464
+
1465
+ 367
1466
+ 00:30:14,920 --> 00:30:19,080
1467
+ ุชู…ุงู†ูŠุฉ ู…ุนู†ุงุชู‡ ู…ุด ู…ุธุจูˆุทุฉ ุงู„ assignment ูƒ assignment
1468
+
1469
+ 368
1470
+ 00:30:19,080 --> 00:30:22,900
1471
+ ู„ูƒู† ู‡ู„ุฃ ู„ุญุธุฉ ุงู„ exhibition is ุงูŠุด ูู…ุด ู…ุดูƒู„ุฉ ู„ูƒู†
1472
+
1473
+ 369
1474
+ 00:30:22,900 --> 00:30:29,860
1475
+ ุนู„ู‰ ุจุนุถ ู‡ุตุงุฑุช ู…ุด ู…ุธุจูˆุทุฉ ู…ู…ูƒู† ุชุญุท ููŠ ุงู„ bit
1476
+
1477
+ 370
1478
+ 00:30:29,860 --> 00:30:35,840
1479
+ regulators ุงู„ under score ูˆุงุญุฏุฉ ุงูˆ ุงูƒุชุฑ ุจูŠุณู‡ู„
1480
+
1481
+ 371
1482
+ 00:30:35,840 --> 00:30:37,980
1483
+ ู‚ุฑุงูŠุฉ ุงู„ุฑู‚ู…
1484
+
1485
+ 372
1486
+ 00:30:39,460 --> 00:30:47,080
1487
+ ุจุณ ุงู„ point ุงู†ู‡ ู…ุงุชุญุทุด two underscores ูˆุฑุง ุจุนุถ ุงู„
1488
+
1489
+ 373
1490
+ 00:30:47,080 --> 00:30:50,760
1491
+ underscores ููŠ ุงู„ุจูŠุช stringinator ู…ุงุจูŠุฎุดูˆุด ููŠ
1492
+
1493
+ 374
1494
+ 00:30:50,760 --> 00:30:57,160
1495
+ ุงู„ู‚ูŠู…ุฉ ุชูƒูˆูŠู† ุงู„ู‚ูŠู…ุฉ ุจุชุงุน ุงู„ string ุจุณ ู‡ุฏูŠู‚ู„ู†ุง ูƒุจู†ูŠ
1496
+
1497
+ 375
1498
+ 00:30:57,160 --> 00:31:08,240
1499
+ ุฃุฏู…ูŠู† ูƒ human ุนุดุงู† ู†ุนุฑู ู†ุฌุฑู‡ุง ุจุณู‡ูˆู„ุฉุชู„ุงุญุธ ู‡ู†ุง
1500
+
1501
+ 376
1502
+ 00:31:30,080 --> 00:31:36,740
1503
+ ู‡ุฐุง ุจูŠุชุณุชุฑู†ุฌ ู„ุงุชุฑุงู„ ุทูŠุจ ู‡ุฐูŠ invalid ู„ุฃู†ู‡ ู…ุด
1504
+
1505
+ 377
1506
+ 00:31:36,740 --> 00:31:40,020
1507
+ underscore ุตุงุฑ ุญุณุจ ุงู„ุญุณุงุจ ู‡ูˆ ุฃุตู„ุง ู„ุฃู†ู‡ ู‡ุฐูŠ ู…ุด
1508
+
1509
+ 378
1510
+ 00:31:40,020 --> 00:31:43,820
1511
+ ุจูŠุชุณุชุฑู†ุฌ ู„ุงุชุฑุงู„ ุนุงุฏูŠ ุชู…ุงู… ูˆ ุงุจุชุฏุงุฆูŠ ูŠุนุชุจุฑ ุงู„
1512
+
1513
+ 379
1514
+ 00:31:43,820 --> 00:31:50,340
1515
+ underscore character ุจุชุฎุด ููŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุญุณุจุฉ ุนู„ู‰ ุงู„
1516
+
1517
+ 380
1518
+ 00:31:50,340 --> 00:31:54,160
1519
+ string ูˆ ุฃู†ุง ุฌุงู„ู‡ ู‡ู†ุง ุฃูŠุด ุงู„ู„ูŠ ู‡ูˆ ู‚ุงุฏุณ ุงู„ standard
1520
+
1521
+ 381
1522
+ 00:31:54,160 --> 00:31:58,480
1523
+ logic vector ูˆ ู…ุด ู…ุณู…ูˆุญ ุงู„ underscore ุชูƒูˆู† ุฃุญุฏ
1524
+
1525
+ 382
1526
+ 00:31:58,480 --> 00:32:02,290
1527
+ ุงู„ู‚ูŠู…ุฉ ุชุจุนู‡ ู…ุด ู‡ูŠูƒ ูˆู„ุง ูŠุนู†ูŠูˆ ุงู„ุนุฏุฏ .. ุงูŠู† ู‡ูˆ ูƒู…ุงู†
1528
+
1529
+ 383
1530
+ 00:32:02,290 --> 00:32:05,330
1531
+ ุงู„ุนุฏุฏุŸ ุณุจุนุฉ ุฏูˆู„ ูƒุงู…ุŸ ุชุณุนุฉ .. ุชุณุนุฉ .. ุจูŠู†ู…ุง ู‡ู†ุง ..
1532
+
1533
+ 384
1534
+ 00:32:05,330 --> 00:32:09,810
1535
+ ู‡ู†ุง ูƒุงู…ุŸ ุชุณุนุฉ ุชู…ุงู… .. ูุจุงู„ุชุงู„ูŠ ู…ุด .. ู…ุด ู…ุธุจูˆุท ..
1536
+
1537
+ 385
1538
+ 00:32:09,810 --> 00:32:19,810
1539
+ ู…ุด ู‡ูŠูƒ ูˆู„ุง .. okay ุงู„
1540
+
1541
+ 386
1542
+ 00:32:19,810 --> 00:32:24,870
1543
+ literal ุจู‚ูˆู„ูƒ ู…ุงู„ูˆุด type ูŠุนู†ูŠ ุจุดูƒู„ ุตุงุฑูˆุฎ .. ุตุฑูŠุญ
1544
+
1545
+ 387
1546
+ 00:32:26,230 --> 00:32:29,710
1547
+ ูˆุงู„ุชุงู„ูŠ ุงู„ู€ composite letter ูŠุนู†ูŠ ุจุญุฏุฏ ู†ูˆุนู‡ ุญุณุจ
1548
+
1549
+ 388
1550
+ 00:32:29,710 --> 00:32:36,070
1551
+ ูˆูŠู† ู‡ูˆ ู…ุณุชุฎุฏู… ุทุจุนุง ุทู„ุน
1552
+
1553
+ 389
1554
+ 00:32:36,070 --> 00:32:42,010
1555
+ ุงู„ู…ุซุงู„ ุงู„ุชุงู„ูŠ ู„ูˆ ู‚ู„ู†ุง ุงู„ X is a signal bit vector
1556
+
1557
+ 390
1558
+ 00:32:42,010 --> 00:32:49,630
1559
+ ุชู…ุงู†ูŠุฉ bits ูˆ ุงู„ Y standard vector ุชู…ุงู†ูŠุฉ bits ุงู„
1560
+
1561
+ 391
1562
+ 00:32:49,630 --> 00:32:54,770
1563
+ assignments ู‡ุฏูˆู„ ุงู„ X ุจูŠุณุงูˆูŠ binary ูƒุฐุง ููŠ ุงู„ุญุงู„ุฉ
1564
+
1565
+ 392
1566
+ 00:32:54,770 --> 00:32:55,030
1567
+ ู‡ุฐู‡
1568
+
1569
+ 393
1570
+ 00:32:57,900 --> 00:33:04,800
1571
+ ุงุนุชุจุฑ ุงู„ู€ String ู‡ุฐู‡ ุงูŠุด ู†ูˆุนู‡ุงุŸ ุจุช ุงูŠุดุŸ
1572
+
1573
+ 394
1574
+ 00:33:04,800 --> 00:33:09,040
1575
+ ุจุช vector ู„ุฃู† ุงู„ X ุงูŠุด ู†ูˆุนู‡ุŸ ุจุช vector ุจูŠู†ู…ุง ู‡ู†ุง
1576
+
1577
+ 395
1578
+ 00:33:09,040 --> 00:33:12,920
1579
+ ุงุนุชุจุฑู‡ุง ุงูŠุดุŸ Structural vector ู…ู† ุบูŠุฑ ุงูŠ ุนู…ู„ูŠุฉ
1580
+
1581
+ 396
1582
+ 00:33:12,920 --> 00:33:16,680
1583
+ ุชุญูˆูŠู„ ูˆู„ุง ุงูŠ ุดูŠุก ูุจุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ุจูŠุญุฏุฏ ุงู„ type ุชุจุนู‡ุง
1584
+
1585
+ 397
1586
+ 00:33:16,680 --> 00:33:20,800
1587
+ ุงู„ final use ุชู…ุงู…ุŸ ูˆุงู†ุช ู…ุณุชุฎุฏู…ู‡ุง ุชู…ุงู… ูˆู„ุงุŸ ูƒูŠู
1588
+
1589
+ 398
1590
+ 00:33:20,800 --> 00:33:26,140
1591
+ ู…ุณุชุฎุฏู…ู‡ุงุŸ ู‡ู†ุง ุงู„ string ู‡ุฐู‡ ุงุนุชุจุฑู‡ุง ุจุช vector ู„ุฃู†
1592
+
1593
+ 399
1594
+ 00:33:26,140 --> 00:33:31,890
1595
+ ุงู„ X ุงูŠุดุŸุจูŠู†ู…ุง ู‡ู†ุง ุงุนุชุจุงุฑู‡ุง standard ูˆ vector ู„ุงู†
1596
+
1597
+ 400
1598
+ 00:33:31,890 --> 00:33:34,330
1599
+ ุงู„ wire standard ูˆ ุงู„ูƒูŠุงุด ุงู„ vector ุนุงุฏูŠ ุงู„ู…ู‚ุตูˆุฏ
1600
+
1601
+ 401
1602
+ 00:33:34,330 --> 00:33:41,850
1603
+ ุจุงู„ statement ุนุงุฏูŠ ุงู„
1604
+
1605
+ 402
1606
+ 00:33:41,850 --> 00:33:48,210
1607
+ composite constant ุนุจุงุฑุฉ ุนู† constant ุจูŠูƒูˆู† ู‚ุฑูŠุฉ ุงูˆ
1608
+
1609
+ 403
1610
+ 00:33:48,210 --> 00:33:48,850
1611
+ record
1612
+
1613
+ 404
1614
+ 00:33:57,720 --> 00:34:01,500
1615
+ ุจุณ ู„ูˆ ุงู†ุช ุนู†ุฏู‡ุง constant ูˆ ุงู„ type ุจุชุงุนู‡ ูƒุงู†
1616
+
1617
+ 405
1618
+ 00:34:01,500 --> 00:34:08,720
1619
+ unconstant ู‚ุฑุฑูŠ ุงู„ type ู„ุงุฒู… ุทุจุนุง ุชุญุฏุฏ ุงู„ .. ุงู„
1620
+
1621
+ 406
1622
+ 00:34:08,720 --> 00:34:11,220
1623
+ bounds ุงูˆ ู‡ู†ู‚ูˆู„ ุงู„ bounds ุชุจุนุชู‡ ุจูŠุชุญุฏุฏ ู…ู† ุงู„ู‚ูŠู…
1624
+
1625
+ 407
1626
+ 00:34:11,220 --> 00:34:13,200
1627
+ ุงู„ู„ูŠ ู‚ุฏูŠุชู‡ุง ุจู…ุง ุงู† ุงู„ constant ุจูŠู‚ูุช ูˆ initialized
1628
+
1629
+ 408
1630
+ 00:34:13,200 --> 00:34:17,880
1631
+ ู…ุด ู‡ูŠูƒ ูˆุงุถุญ ุงู‚ูˆู„ู‡ ุงู„ initialization ูƒุฃู†ูƒ ุถู…ู† ุชุญุฏุฏุช
1632
+
1633
+ 409
1634
+ 00:34:17,880 --> 00:34:21,660
1635
+ ุงู„ bounds ุชุจุนุชู‡ ูŠุงุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ constant ูŠุนู†ูŠ ุฒูŠ
1636
+
1637
+ 410
1638
+ 00:34:21,660 --> 00:34:25,740
1639
+ ู…ุซู„ุง ุงู†ุง ุฌุงูŠ ุงู‚ูˆู„ู‡ constant pattern ุงู„ pattern ูŠุงุด
1640
+
1641
+ 411
1642
+ 00:34:25,740 --> 00:34:30,610
1643
+ is constantูˆุฅูŠุด ุงู† ู‡ูˆ astrology vector astrology
1644
+
1645
+ 412
1646
+ 00:34:30,610 --> 00:34:34,470
1647
+ vector ููŠ ุงู„ุฃุตู„ is unconstraint ุจุณ ู‡ูŠ ุจูŠุจู‚ู‰
1648
+
1649
+ 413
1650
+ 00:34:34,470 --> 00:34:36,930
1651
+ unconstraint ู„ุงุฒู… ุงุฏูŠู„ู‡ ูˆูŠุงุด ุงู„ู‚ูŠู…ุฉ ุดูˆููˆุง ุงู„ู‚ูŠู…ุฉ
1652
+
1653
+ 414
1654
+ 00:34:36,930 --> 00:34:44,670
1655
+ ุงู„ู‚ูŠู…ุฉ ู‡ุงุฏ ุงู„ string ุงู„ู‚ูŠู…ุฉ ู‡ุงุฏ ู…ุด ู‡ูŠูƒ ุจุณ ููŠ
1656
+
1657
+ 415
1658
+ 00:34:44,670 --> 00:34:50,790
1659
+ ุงู„ู‚ูŠู…ุฉ
1660
+
1661
+ 416
1662
+ 00:34:50,790 --> 00:34:57,400
1663
+ ู‡ุงุฏ ุชู…ุงู…ุงู„ู€ length ุชุจุน ุงู„ pattern ุงู„ู„ูŠ ุฌูŠุช ุงู„ู„ูŠ ู‡ูŠ
1664
+
1665
+ 417
1666
+ 00:34:57,400 --> 00:35:04,760
1667
+ ูƒุงู… character ุงู„ู„ูŠ ู‡ู… ูˆู‡ุง ุฏู‡ ูˆ ุงู„ length ู‡ูŠุนุชุจุฑู‡
1668
+
1669
+ 418
1670
+ 00:35:04,760 --> 00:35:13,240
1671
+ ุจูŠุจุฏุฃ ู…ู† zero ู„ุบุงูŠุฉ ูƒุงู… ู„ุบุงูŠุฉ ุณุจุนุฉ ุทุจุนุง ูƒูŠูุŸ ุงูŠู‡
1672
+
1673
+ 419
1674
+ 00:35:13,240 --> 00:35:17,320
1675
+ ู†ุนู… ุจูŠุนุชุจุฑู‡
1676
+
1677
+ 420
1678
+ 00:35:17,320 --> 00:35:22,560
1679
+ ascendingุฏุงู„ูƒ ุฅุฐุง ุฃู†ุช ุจุฏูŠุนูƒ .. ุจุฏูŠุนูƒ ู‡ูŠ descending
1680
+
1681
+ 421
1682
+ 00:35:22,560 --> 00:35:28,820
1683
+ ุจุฏูŠุนูƒ ู„ุฃ ุจุฏูŠุนูƒ ูŠุนู†ูŠ ุชุนู…ู„ ุงู„ู„ูŠ ู‡ูŠ subtype ู…ู† ุงู„
1684
+
1685
+ 422
1686
+ 00:35:28,820 --> 00:35:31,220
1687
+ signs of vector ูˆ ุชุฎู„ูŠู‡ descending ูˆ ุชุนู…ู„ ุงู„
1688
+
1689
+ 423
1690
+ 00:35:31,220 --> 00:35:34,020
1691
+ subtype constant ูˆ ุจุนุฏูŠู† ููŠ ุงู„ constant ุชุฏูŠู„ู‡
1692
+
1693
+ 424
1694
+ 00:35:34,020 --> 00:35:36,840
1695
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุจุฏูŠู‡ุง ุณุงุนุชู‡ุง ุงุนุชุจุฑู‡ ุงู„ .. ุงู„
1696
+
1697
+ 425
1698
+ 00:35:36,840 --> 00:35:43,260
1699
+ descending ุชู…ุงู…ุŸ ู„ูƒู† ุจุงู„ุดูƒู„ ู‡ุฐุง ู‡ุนุชุจุฑุด ุงู†ู‡ ุงูŠุดุŸ
1700
+
1701
+ 426
1702
+ 00:35:43,260 --> 00:35:50,790
1703
+ ุงู†ู‡ ุงู„ sendingุทุจุนุงุŸ okay ู‡ูˆ ูŠุจุฏุฃ ู…ู† ูƒุงู…ุŸ ู…ู† Zero
1704
+
1705
+ 427
1706
+ 00:35:50,790 --> 00:35:53,950
1707
+ ู„ูŠุด ุจุฏุฃ ู…ู† ZeroุŸ ู„ุฅู† ู‡ูˆ ู‚ุงู„ ููŠ ุงู„ุตูŠู†ุฌูˆูƒ ููŠูƒุชูˆุฑ it
1708
+
1709
+ 428
1710
+ 00:35:53,950 --> 00:35:57,310
1711
+ is natural ู…ุด ู‡ูŠูƒูˆูŠุฉ ู„ุฃ natural ุฅุฐุง ุงู†ุชูˆุง ูุงูƒุฑูŠู†
1712
+
1713
+ 429
1714
+ 00:35:57,310 --> 00:36:04,170
1715
+ natural okay ู…ุงุดูŠ ุงู„
1716
+
1717
+ 430
1718
+ 00:36:04,170 --> 00:36:12,850
1719
+ integer types ุงู„
1720
+
1721
+ 431
1722
+ 00:36:12,850 --> 00:36:18,170
1723
+ integer typeุทุจุนุงู‹ types ุจุชุงุฎุฏ whole numbers ูŠุนู†ูŠ
1724
+
1725
+ 432
1726
+ 00:36:18,170 --> 00:36:24,890
1727
+ ุฃุฑู‚ุงู… ุตุญูŠุญุฉ some range ุงู„ syntax ุชุนู…ู„ integer type
1728
+
1729
+ 433
1730
+ 00:36:24,890 --> 00:36:31,270
1731
+ ุจุงู„ุดูƒู„ ู‡ุฐู‡ ุฅุฐุง
1732
+
1733
+ 434
1734
+ 00:36:31,270 --> 00:36:35,550
1735
+ ู‡ุชุนู…ู„ integer type ุชูƒุชุจ ูƒู„ู…ุฉ type ูˆ ุจุนุฏูŠู† ุงู„ุงุณู…
1736
+
1737
+ 435
1738
+ 00:36:35,550 --> 00:36:41,910
1739
+ ุชุจุนู‡ ุขูŠุฉ ุงู„ูุงูŠุฉ is range ูˆ some range ุงู„ range ุฅู…ุง
1740
+
1741
+ 436
1742
+ 00:36:41,910 --> 00:36:44,070
1743
+ ุฃู†ู‡ simple expression to simple expression
1744
+
1745
+ 437
1746
+ 00:36:49,900 --> 00:36:52,940
1747
+ ุฃูˆ simple expression down to simple expression
1748
+
1749
+ 438
1750
+ 00:36:52,940 --> 00:37:01,820
1751
+ ุจู‡ูŠูƒ ุงู†ูƒ ุจุชูƒูˆู† ุจุชุนุฑู integer type ูˆ ุจุงู„ุชุงู„ูŠ
1752
+
1753
+ 439
1754
+ 00:37:01,820 --> 00:37:06,800
1755
+ ุงู„ุงุฑู‚ุงู…
1756
+
1757
+ 440
1758
+ 00:37:06,800 --> 00:37:10,740
1759
+ ุงู„ู„ูŠ ุจุชูƒูˆู† ููŠ ุงู„ type ู‡ูŠ ุฌู…ูŠุน ุงู„ whole numbers
1760
+
1761
+ 441
1762
+ 00:37:10,740 --> 00:37:13,760
1763
+ ุงู„ู…ุญุตูˆุฑุฉ ุจูŠู† ุงู„ุฑู‚ู… ุงู„ุฃูˆู„ุงู†ูŠ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ุจูŠุญุฏุซ ููŠ
1764
+
1765
+ 442
1766
+ 00:37:13,760 --> 00:37:16,280
1767
+ ุดู‡ุงุฏุฉ ู„ุบุงูŠุฉ ุงู„ุฑู‚ู… ุงุดู‡ุฑ ุงู„ุฃุฎูŠุฑ included inclusive
1768
+
1769
+ 443
1770
+ 00:37:16,280 --> 00:37:22,710
1771
+ ุชู…๏ฟฝ๏ฟฝู… ูˆู„ุงุŸ inclusiveูˆ ุงู„ exceptions ู‡ู†ุง should
1772
+
1773
+ 444
1774
+ 00:37:22,710 --> 00:37:26,130
1775
+ evaluate to integers ููŠ ุงู„ุฃุฎุฑ ู…ุงูŠู†ูุนุด ุช evaluate
1776
+
1777
+ 445
1778
+ 00:37:26,130 --> 00:37:29,210
1779
+ to float ุฃูˆ ูƒุฐุง ุฃูˆ ุฅูŠุด ุชู…ุงู… should evaluate to ุฅูŠุด
1780
+
1781
+ 446
1782
+ 00:37:29,210 --> 00:37:32,070
1783
+ ูŠุนู†ูŠ ู‚ูŠู…ุฉ ูƒู„ exception ู„ู…ุง ูŠุฌูŠ ูŠุญุณุจ ุงู„ compiler
1784
+
1785
+ 447
1786
+ 00:37:32,070 --> 00:37:39,390
1787
+ ูŠุฌูŠ ุฅูŠู‡ ุฅูŠุด ูŠุฌูŠ ุฅู†ุชุฌุฑ ุทู„ุน ุนู„ู‰ ุงู„ู…ุซุงู„ ุงู„ุชุงู„ูŠ ุฌุงู„ูƒ
1788
+
1789
+ 448
1790
+ 00:37:39,390 --> 00:37:47,910
1791
+ type 10 ุฃูŠู‡ ุณู…ุงู‡ุŸ 10 is range 0 to 9 ู…ุน ุฃู† 10 ู‡ุฐุง
1792
+
1793
+ 449
1794
+ 00:37:47,910 --> 00:37:53,540
1795
+ is an integer typeู…ุงุฐุง ูŠุนู†ูŠ ุงู†ุชุฌุงุฑูŠุฉุŸ ูŠุนู†ูŠ ู„ูˆ ุงู†ุง
1796
+
1797
+ 450
1798
+ 00:37:53,540 --> 00:37:57,560
1799
+ ุนุฑูุช object ู†ูˆุน 10 ู…ุงูŠู†ูุนุด ู„ุบุงูŠุฉ ูŠุงุฎุฏ ุฃุฑู‚ุงู…
1800
+
1801
+ 451
1802
+ 00:37:57,560 --> 00:38:00,340
1803
+ ุงู†ุชุฌุงุฑุฉ ุจุณ ู…ุญุตูˆู„ูŠู† ููŠ ุงู„ range ู…ู† 0 ู„ุบุงูŠุฉ ูƒุงู…
1804
+
1805
+ 452
1806
+ 00:38:00,340 --> 00:38:08,440
1807
+ ู„ุบุงูŠุฉ 9 ู„ูˆ ู‚ู„ุช ู„ู‡ type digit ู‡ุฐุง ุจุฑุถู‡ ุงู†ุชุฌุงุฑ type
1808
+
1809
+ 453
1810
+ 00:38:08,440 --> 00:38:15,500
1811
+ is range 0 to 9 ู‡ู„ ุงู„ .. ุงู„ .. ุงู„ 10 ู‡ุฐูŠ
1812
+
1813
+ 454
1814
+ 00:38:20,380 --> 00:38:26,360
1815
+ ุฒูŠ ุงู„ digit ูˆ ู„ุง ู…ุฎุชู„ูุฉ ู‡ู„ ูŠุนุชูˆุฑ ุฏู‡ ุงู„ same type
1816
+
1817
+ 455
1818
+ 00:38:26,360 --> 00:38:30,280
1819
+ ู„ุฃ
1820
+
1821
+ 456
1822
+ 00:38:30,280 --> 00:38:34,280
1823
+ ู„ูˆ different names ุจูŠุนู…ู„ ู†ูุณ ุงู„ ranges ุดูˆู ุงู„ู…ุซุงู„
1824
+
1825
+ 457
1826
+ 00:38:34,280 --> 00:38:41,140
1827
+ ู‡ุฐุง ู„ูˆ ู‚ู„ู†ุง signal x ูˆ y 10 ู†ูˆุนู‡ู… ุงูŠู‡ุŸ 10 ูˆ ุงู„
1828
+
1829
+ 458
1830
+ 00:38:41,140 --> 00:38:48,560
1831
+ digit f ูˆ g digit ู‡ูŠ ู„ูˆ ู‚ู„ุช x ุจูŠุณูˆูŠ y ุงู„ุงุชู†ูŠู† ุงูŠู‡
1832
+
1833
+ 459
1834
+ 00:38:48,560 --> 00:38:54,120
1835
+ ู†ูˆุนู‡ู…ุŸit is valid ู„ูƒู† ู„ูˆ ู‚ู„ุช x ุจูŠุณุงูˆูŠ g ุจุนุฏ ุงู„ x
1836
+
1837
+ 460
1838
+ 00:38:54,120 --> 00:38:59,080
1839
+ ุชู† ูˆ ุงู„ g digit this is invalid ู„ูˆ different ุฅูŠู‡ุงุด
1840
+
1841
+ 461
1842
+ 00:38:59,080 --> 00:39:02,360
1843
+ type ุงู„ุจุงู„ุบ ู‡ูˆ ุจูŠูุฑุฌ ุจุงู„ type ู…ุฒุงุฑ ุงู„ุฅุณู… ุงุฎุชู„ู
1844
+
1845
+ 462
1846
+ 00:39:02,360 --> 00:39:05,960
1847
+ ุฎู„ุงุต different ุฅูŠู‡ุงุด different type ู‡ู„ ุฃุตู„ุง ู‡ู…
1848
+
1849
+ 463
1850
+ 00:39:05,960 --> 00:39:12,240
1851
+ ู…ุดุชุฑูƒูŠู† ุจุงู„ base type ุงู„ 10 ูˆ ุงู„ digitุŸ ู„ุฃ ุงุญู†ุง
1852
+
1853
+ 464
1854
+ 00:39:12,240 --> 00:39:14,140
1855
+ ุจุชู‚ูˆู„ integer ู‡ูˆ integer type ู‡ู„ ุฌูŠุช ุฃูˆุฑูŠูƒ ุงู„ู„ูŠ ุฒูŠ
1856
+
1857
+ 465
1858
+ 00:39:14,140 --> 00:39:15,160
1859
+ ุฃูŠ ุดูŠุก ุชุงู†ูŠุŸ
1860
+
1861
+ 466
1862
+ 00:39:23,590 --> 00:39:26,470
1863
+ ู…ุนู†ุงุชู‡ ุจูŠุนุชุจุฑู‡ู… different types ุนู„ู‰ ุฑุบู… ุงู†ู‡ ุงู„ู‚ูŠุงู…
1864
+
1865
+ 467
1866
+ 00:39:26,470 --> 00:39:32,130
1867
+ ุงู„ู…ูƒูˆู† ู„ูƒู„ type ู†ูุณ ุงู„ู‚ูŠุงู… ู…ู† ุตูุฑ ู„ุชุณุนุฉ ู†ุดูˆู ุงู„ู€
1868
+
1869
+ 468
1870
+ 00:39:32,130 --> 00:39:36,750
1871
+ Predefined integer type ุงู„ู€ Predefined type ุงู„ู„ูŠ
1872
+
1873
+ 469
1874
+ 00:39:36,750 --> 00:39:41,970
1875
+ ุงุณู…ู‡ integer ุงู„ู…ุนุฑููŠู† ุงู† ุจุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ integer
1876
+
1877
+ 470
1878
+ 00:39:41,970 --> 00:39:46,950
1879
+ type ูˆ range ุชุจุนู‡ typically ุจูŠูƒูˆู† ู…ู† ุงู„ุฑู‚ู… ู‡ุฐุง
1880
+
1881
+ 471
1882
+ 00:39:46,950 --> 00:39:50,770
1883
+ ู„ุบุงูŠุฉ ุงู„ุฑู‚ู… ู‡ุฐุง ุนู„ู‰ ุงุนุชุจุงุฑ ูƒุงู… bit ุงู„ machine ุงู„
1884
+
1885
+ 472
1886
+ 00:39:50,770 --> 00:39:56,290
1887
+ machine ูƒุงู… bitุงู„ุชุงู†ูŠุฉ ูˆ ุชู„ุงุชูŠู† ุจูŠุชุฒ ุชู…ุงู… ุจุชุงุน
1888
+
1889
+ 473
1890
+ 00:39:56,290 --> 00:39:59,490
1891
+ ุงู„ู„ูŠ ุจูŠุจุซู„ูƒ ุงู„ุฃุฑู‚ุงู… ุจุชูˆุฒ compliment ููŠ ุงู„ range
1892
+
1893
+ 474
1894
+ 00:39:59,490 --> 00:40:03,310
1895
+ ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุงู„ุฑู‚ู… ุงู„ู„ูŠ ูƒุงู†ุช ูˆ ู‡ู†ุง ู„ุฑู‚ู… ุงู„ู„ูŠ ูƒุงู†ุช
1896
+
1897
+ 475
1898
+ 00:40:03,310 --> 00:40:07,230
1899
+ ุทุจุนุง you know how to find this number ู…ุดุงูƒู„ุฉ ู„ูˆ
1900
+
1901
+ 476
1902
+ 00:40:07,230 --> 00:40:10,990
1903
+ ุนู†ุฏูƒ ู…ุซู„ุง ุชู…ุงู†ูŠุฉ
1904
+
1905
+ 477
1906
+ 00:40:10,990 --> 00:40:14,810
1907
+ ุจูŠุชุฒ ุจูŠู‚ูˆู„ ุงู„ุฃุฑู‚ุงู… ู…ู† minus 256 ู„ุบุงูŠุฉ ู…ุชูŠู† ูˆ ูƒุงู…
1908
+
1909
+ 478
1910
+ 00:40:14,810 --> 00:40:20,490
1911
+ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ุงู„ minus 256 ุงู„ู„ูŠ ุฌุงู‡ ู…ู† ูˆูŠู†ุงู„ู„ูŠ ู‡ูŠ
1912
+
1913
+ 479
1914
+ 00:40:20,490 --> 00:40:27,850
1915
+ ุงู„ .. ุงู„ minus ุงุชู†ูŠู† ุงู‚ุตู‰ ุงุชู†ูŠู† ุงุณ ูˆุงุญุฏ ูˆ ุชู„ุงุชูŠู†
1916
+
1917
+ 480
1918
+ 00:40:27,850 --> 00:40:32,090
1919
+ ู…ุธุจูˆุท ูˆู„ุง ุงู„ minus ู…ู† ุณุชุฉ ูˆ ุฎู…ุณูŠู† ุงู„ู„ูŠ ู‡ูŠ two to
1920
+
1921
+ 481
1922
+ 00:40:32,090 --> 00:40:36,050
1923
+ the power eight ุจุณ ุนู†ุฏูƒ minus ุฌุงุจู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ..
1924
+
1925
+ 482
1926
+ 00:40:36,050 --> 00:40:39,910
1927
+ ุงู„ุงุชู†ูŠู† ู…ุดุงูƒู„ ูˆู„ุง ุงู„ุชุงู† ูˆ ุฎู…ุณ ูˆ ุฎู…ุณูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„
1928
+
1929
+ 483
1930
+ 00:40:39,910 --> 00:40:42,830
1931
+ positive ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† ุงู‚ุตู‰ ุชู…ุงู†ูŠุฉ minus ุงุด minus
1932
+
1933
+ 484
1934
+ 00:40:42,830 --> 00:40:46,730
1935
+ .. minus ูˆุงุญุฏ ู…ุงุดูŠ ุงู„ุญุงู„ okay ู…ุงุดูŠ
1936
+
1937
+ 485
1938
+ 00:40:55,020 --> 00:40:58,860
1939
+ ู…ู† ุฃูˆู„ ุจู‚ูˆู„ู‡ุง ุงู„ ุชู…ุงู†ูŠุฉ ุจูŠุชุฒ ุชู…ุงู… ุงู„ ู…ุชูŠู† ูˆ ุฎู…ุณูˆู†
1940
+
1941
+ 486
1942
+ 00:40:58,860 --> 00:41:04,700
1943
+ ู…ู†ูŠู† ุฃุฌุช ุงู„ ู…ุชูŠู† ูˆ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ุงู„ู„ูŠ
1944
+
1945
+ 487
1946
+ 00:41:04,700 --> 00:41:11,120
1947
+ ู‡ูŠ ุงุชู†ูŠู† ู‚ุต ุชู…ุงู†ูŠุฉ ู…ุธุจูˆุท minus ูˆุงุญุฏ ู…ุด ุดุงูŠู ูˆุงุญุฏ
1948
+
1949
+ 488
1950
+ 00:41:11,120 --> 00:41:15,480
1951
+ ุงู†ุง okay ูˆุงู„ู…ุชูŠู† ูˆุณุชุฉ ูˆ ุฎู…ุณูŠู† ุจุงู„ negative ุงู„ู„ูŠ ู‡ูŠ
1952
+
1953
+ 489
1954
+ 00:41:15,480 --> 00:41:20,820
1955
+ ุงุชู†ูŠู† minus ุงุชู†ูŠู† ู‚ุต ุชู…ุงู†ูŠุฉ ู…ุธุจูˆุท ุงู‡ ู…ุธุจูˆุท ู…ุด ุดุงูŠู
1956
+
1957
+ 490
1958
+ 00:41:20,820 --> 00:41:22,780
1959
+ ูˆุงุญุฏ ุชู…ุงู… okay
1960
+
1961
+ 491
1962
+ 00:41:24,640 --> 00:41:29,220
1963
+ ููŠ ุงู„ูƒุชุงุจ ุฃูŠุถุง ู…ุด ู…ุธุจูˆุท ุฃูŠุถุง ู…ุด ู…ุธุจูˆุท ูŠุนู†ูŠ okay
1964
+
1965
+ 492
1966
+ 00:41:29,220 --> 00:41:32,760
1967
+ ู…ุงุดูŠ ูˆุจุชุงู„ูŠ ุนู„ู‰ ู…ุณุชูˆู‰ ุชู„ุช ุงู„ุจูŠุช ุงุญุณุจ ู†ูุณ ุงู„ุทุฑูŠู‚ุฉ
1968
+
1969
+ 493
1970
+ 00:41:32,760 --> 00:41:38,140
1971
+ ุชู„ุช ุงู„ุจูŠุช ุชู„ุช ุงู„ุจูŠุช ุชู…ุงู… ู†ูุณ ุงูŠุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ุทุฑูŠู‚ุฉ
1972
+
1973
+ 494
1974
+ 00:41:38,140 --> 00:41:46,220
1975
+ ุงู„
1976
+
1977
+ 495
1978
+ 00:41:46,220 --> 00:41:49,780
1979
+ type ุงู„ู„ูŠ ุงุณู…ู‡ integer ู…ุนุฑู ููŠ ุงู„ package ุงู„ู„ูŠ ู‡ูŠ
1980
+
1981
+ 496
1982
+ 00:41:49,780 --> 00:41:55,640
1983
+ standard ุดูˆู ูƒุฏู‡ ููŠ ู…ุนุฑู type integer isRange ูˆู…ู†
1984
+
1985
+ 497
1986
+ 00:41:55,640 --> 00:42:00,800
1987
+ ุซู… ูŠู‚ูˆู„ ู„ูƒ implementation defined ู„ูˆ ู‡ูˆ ุงู„ integer
1988
+
1989
+ 498
1990
+ 00:42:00,800 --> 00:42:03,780
1991
+ ุฃุฑุจุนุฉ ุจุงูŠุณ ูŠูƒูˆู† ุชู‚ุฑูŠุจุง ุงู„ range ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง
1992
+
1993
+ 499
1994
+ 00:42:03,780 --> 00:42:07,640
1995
+ otherwise ู„ูˆ ุฃูƒุชุฑ ุฃูˆ ุฃู‚ู„ ุญุณุจ ุงู„ machine ุงู„ู„ูŠ ุดุบุงู„
1996
+
1997
+ 500
1998
+ 00:42:07,640 --> 00:42:15,980
1999
+ ุนู„ูŠู‡ุง ุงู„ compiler ุจุณ ุงู„ุญุงู„ุฉ
2000
+
2001
+ 501
2002
+ 00:42:15,980 --> 00:42:21,300
2003
+ ุดูˆู
2004
+
2005
+ 502
2006
+ 00:42:21,300 --> 00:42:25,750
2007
+ ูุงุฌุฃุช ู„ู…ุง ุชุนู…ู„ ุญุงุฌุฉ ุฒูŠ ูƒุฏู‡ู‡ู„ุฌูŠุช ู‡ุฐุง ู…ุนุฑู ุงู„
2008
+
2009
+ 503
2010
+ 00:42:25,750 --> 00:42:31,730
2011
+ integer ูƒ type ู…ู…ูƒู† ุชุนู…ู„ ู…ู†ู‡ subtype ู‡ุงูŠ ุงู„
2012
+
2013
+ 504
2014
+ 00:42:31,730 --> 00:42:37,250
2015
+ subtype ุณู…ุงู‡ุง ุงูŠู‡ุŸ ten ูุฎู„ู‘ูŠ ุจุงู„ูƒ ุงู„ุชู† ู‡ุฐุง ุบูŠุฑ ุนู†
2016
+
2017
+ 505
2018
+ 00:42:37,250 --> 00:42:41,430
2019
+ ุงู„ุชู† ุงู„ูุงุชุฑ ู‡ุฏุงูƒ type ูƒุงู† ู‡ุฏุง ุงู„ page type ู‡ู„ุฌูŠุช
2020
+
2021
+ 506
2022
+ 00:42:41,430 --> 00:42:46,990
2023
+ ten ุงูŠู‡ ุงู„ page ุชุจุนู‡ุŸ integer ูˆู„ูƒู† ุนุฑุญุงุช
2024
+
2025
+ 507
2026
+ 00:42:46,990 --> 00:42:53,460
2027
+ constraintูŠุนู†ูŠ ุงุฎุฏ just one subset ู…ู† ุงู„ range ุชุจุน
2028
+
2029
+ 508
2030
+ 00:42:53,460 --> 00:42:57,760
2031
+ ุงู„ integer ุงู„ูƒุจูŠุฑ ุงุญุฏ ุงู„ู‚ูŠุงู„ ู…ุตูŠุฑู‡ ู„ุบุงูŠุฉ ูƒุงู… ู„ุบุงูŠุฉ
2032
+
2033
+ 509
2034
+ 00:42:57,760 --> 00:43:03,760
2035
+ ุชุณุนุฉ ุงู„ digit ู‡ู†ุง is integer ู…ุตูŠุฑู‡ ู„ุบุงูŠุฉ ูƒุงู… ุชุณุนุฉ
2036
+
2037
+ 510
2038
+ 00:43:03,760 --> 00:43:07,040
2039
+ ุทูŠุจ ู‡ุนู…ู„ two sub types ุฎู„ูŠู†ุง ู†ุดูˆู ุงู„ statements
2040
+
2041
+ 511
2042
+ 00:43:07,040 --> 00:43:09,540
2043
+ ุงู„ุชุงู„ูŠุฉ ู„ูˆ ุงู†ุง ุนู†ุฏูŠ
2044
+
2045
+ 512
2046
+ 00:43:13,580 --> 00:43:16,960
2047
+ ุงู„ู€ X ูˆ ุงู„ู€ Y 10 ุงู„ู€ type ุงู„ุฌุฏูŠุฏ ู‡ุฐุง ุทู„ุนุช ุฃุถุงู ุงู„
2048
+
2049
+ 513
2050
+ 00:43:16,960 --> 00:43:19,160
2051
+ N ู‡ู†ุง ุนุดุงู† ูŠู…ุฒุฌูˆุง ุนู† ุงู„ .. ุนุดุงู† ูŠู…ุฒุฌูˆุง ุนู† ุงู„ ..
2052
+
2053
+ 514
2054
+ 00:43:19,160 --> 00:43:26,940
2055
+ ุงู„ู„ูŠ ูุงุช ูˆ ุงู„ F ูˆ ุงู„ G are digit ู„ูˆ ู‚ู„ุช X ุจูŠ ุณูˆู‰ Y
2056
+
2057
+ 515
2058
+ 00:43:26,940 --> 00:43:29,840
2059
+ it is okay ู„ุฃู†ู‡ ู†ูุณ ุงู„ subtype ู…ุด ุฅุดูƒุงู„ูŠุฉ ู‡ู†ุง
2060
+
2061
+ 516
2062
+ 00:43:29,840 --> 00:43:33,720
2063
+ ูˆุงุถุญุฉ ู…ุด ุนุงูˆุฒุฉ ูŠุนู†ูŠ ู„ูƒู† ู„ูˆ ุฌูˆ .. ู„ูˆ ู‚ู„ุชู‡ุง ุงู„ gate
2064
+
2065
+ 517
2066
+ 00:43:33,720 --> 00:43:38,710
2067
+ ุงู„ X ุจูŠุณูˆู‰ Gู…ุธุจูˆุทุฉุŒ ู…ุน ุงู†ู‡ different subtypesุŒ ู„ูŠุด
2068
+
2069
+ 518
2070
+ 00:43:38,710 --> 00:43:43,790
2071
+ ุชุนุชุจุฑู‡ุง ู…ุธุจูˆุทุฉุŸ ู„ุฃู†ู‡ ููŠ ู…ู‚ุงุฑู†ุฉ ุงู„ two size ุชุจุน ุงู„
2072
+
2073
+ 519
2074
+ 00:43:43,790 --> 00:43:48,450
2075
+ assignment ุจุชุทู„ุน ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ base typeุŒ ุนู„ู‰ ุงู„
2076
+
2077
+ 520
2078
+ 00:43:48,450 --> 00:43:51,410
2079
+ base ashุŒ ุนู„ู‰ ุงู„ base typeุŒ because ุงู„ subtypes
2080
+
2081
+ 521
2082
+ 00:43:51,410 --> 00:43:54,290
2083
+ are differentุŒ ู„ูƒู† ุงู„ base ุชุจุนู‡ู… ashุŒ ุฅุฐุง ุณู…ุนุชูˆุง
2084
+
2085
+ 522
2086
+ 00:43:54,290 --> 00:43:56,830
2087
+ ุงู„ ashุŒ it is valid
2088
+
2089
+ 523
2090
+ 00:44:04,140 --> 00:44:06,320
2091
+ ุฅุฐุง ุงู„ู€ integer type ุงู„ู…ุนุฑู ุฅู„ูŠู†ุง ููŠ ุงู„ VHDL ู‡ูˆ
2092
+
2093
+ 524
2094
+ 00:44:06,320 --> 00:44:13,100
2095
+ ู…ูŠู†ุŸ ุจุณ ู…ูŠู†ุŸ ุงู„ integer type ุงู„ predefined ุงู„ูˆุญูŠุฏ
2096
+
2097
+ 525
2098
+ 00:44:13,100 --> 00:44:19,140
2099
+ ุงู„ู…ุนุฑู ุจุงู„ VHDL ู‡ูˆ ูŠุงุด ุงู„ integer ุตุญุŸ ู„ูƒู† ู…ุนุฑููŠู†
2100
+
2101
+ 526
2102
+ 00:44:19,140 --> 00:44:25,180
2103
+ ู…ู† ุงู„ integer some sub types ุฒูŠ ุงู„ ู†ุตุฑ ูˆ ุงู„ูŠุงุด ูˆ
2104
+
2105
+ 527
2106
+ 00:44:25,180 --> 00:44:29,750
2107
+ ุงู„ positive ููŠ ุงู„ package ุงู„ู„ูŠ ุงุณู…ู‡ุง standardูˆ ู…ุงุฑ
2108
+
2109
+ 528
2110
+ 00:44:29,750 --> 00:44:32,510
2111
+ ุนู„ูŠู†ุง ุดูˆ ู†ุดุฑ ูƒุฏุง ูˆ ู…ุงุนุฑููŠู†ู‡ subtype ู†ุดุฑ is integer
2112
+
2113
+ 529
2114
+ 00:44:32,510 --> 00:44:38,170
2115
+ range ู…ุฒูŠุฏ ูˆ ู„ุบุงูŠุฉ ุงูŠุด integer ุจุนุฏ apostrophe high
2116
+
2117
+ 530
2118
+ 00:44:38,170 --> 00:44:44,990
2119
+ ููŠ ุญุงุฌุฉ ุจูŠุณู…ูˆู‡ุง attributes ุชู…ุงู… ู„ู„ types ูˆ ู„ู„
2120
+
2121
+ 531
2122
+ 00:44:44,990 --> 00:44:48,590
2123
+ objects ุงูŠู‡ ุงู„ attributes ุชู…ุงู… ู…ู† ุงู„ attributes
2124
+
2125
+ 532
2126
+ 00:44:48,590 --> 00:44:50,970
2127
+ ุชุจุนุช ุงู„ integer type ู…ุซู„ุง ุชุญุท ุงู„ุนู„ุงู…ุฉ ุงู„
2128
+
2129
+ 533
2130
+ 00:44:50,970 --> 00:44:53,310
2131
+ apostrophe ู‡ุฐูŠ ูˆ high ุจุฏูŠู„ูƒ ุงุนู„ู‰ ุฑู‚ู… ููŠ ุงู„ type
2132
+
2133
+ 534
2134
+ 00:44:53,310 --> 00:44:58,550
2135
+ ู‡ุฐูŠ ู‡ุฐูŠ ู‚ูŠู…ุชู‡ ุนู„ู‰ ุจุนุถู‡ ุงุนู„ู‰ ุฑู‚ู… ููŠ ุงู„ integer type
2136
+
2137
+ 535
2138
+ 00:44:59,560 --> 00:45:07,980
2139
+ ุทุจุนุงู‹ ุทุจุนุงู‹ ุทุจุนุง
2140
+
2141
+ 536
2142
+ 00:45:07,980 --> 00:45:21,900
2143
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง
2144
+
2145
+ 537
2146
+ 00:45:21,900 --> 00:45:23,180
2147
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง
2148
+
2149
+ 538
2150
+ 00:45:23,180 --> 00:45:27,260
2151
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง
2152
+
2153
+ 539
2154
+ 00:45:27,260 --> 00:45:27,340
2155
+ ุทุจุนุง ุทุจุนุง ุทุจุนุง ุท๏ฟฝ๏ฟฝุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจุนุง ุทุจ
2156
+
2157
+ 540
2158
+ 00:45:39,700 --> 00:45:44,140
2159
+ ุงู„ุฃูุถู„ ู„ูˆ ุงู†ุช ุจุฏู„ูƒุด negative numbers ู…ุงูŠุณุชุฎุฏู…ุด ุงู„
2160
+
2161
+ 541
2162
+ 00:45:44,140 --> 00:45:47,720
2163
+ integer ู„ูˆ ู„ some signal ุงูˆ some variable ุจุฏู„ูƒุด ูƒู„
2164
+
2165
+ 542
2166
+ 00:45:47,720 --> 00:45:50,940
2167
+ ุงู„ negative ูˆ ุงู„ positive you just need ุงู„
2168
+
2169
+ 543
2170
+ 00:45:50,940 --> 00:45:54,520
2171
+ positive ุงูˆ ู…ู† ุฒุฑ ูˆ ุทุงู„ุน ุชุณุชุฎุฏู… ูŠุง ุงู„ natural ูŠุง
2172
+
2173
+ 544
2174
+ 00:45:54,520 --> 00:45:58,700
2175
+ ุงู„ positive ุนุดุงู† ุชุณููŠุฏ ู…ู† ูƒู„ ุฅูŠุดุŒ ูŠุง natural ูŠุง
2176
+
2177
+ 545
2178
+ 00:45:58,700 --> 00:46:00,440
2179
+ ุฅูŠุดุŒ ูŠุง positive
2180
+
2181
+ 546
2182
+ 00:46:08,480 --> 00:46:15,340
2183
+ ุงู„ู€ decimal literals ุงู„
2184
+
2185
+ 547
2186
+ 00:46:15,340 --> 00:46:21,300
2187
+ decimal literals ุนุจุงุฑุฉ
2188
+
2189
+ 548
2190
+ 00:46:21,300 --> 00:46:26,060
2191
+ ุนู† integer ู…ู…ูƒู† ุชูƒูˆู† sequence of digits ูˆ ุชุฎู„ุงู„ู‡ู…
2192
+
2193
+ 549
2194
+ 00:46:26,060 --> 00:46:29,300
2195
+ ุนู„ุงู…ุฉ ุงู„ explanation ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู…ุฉ ุงู„ุฃูุณ ู‡ุฐู‡ ุงู„ E
2196
+
2197
+ 550
2198
+ 00:46:29,300 --> 00:46:37,160
2199
+ ุงู„ base ู…ู„ุฒู…ุด ุชูƒุชุจูˆู‡ ุถู…ู† ุงู† ูŠุนุชุจุฑุงุด ุนุดุงู† implicit
2200
+
2201
+ 551
2202
+ 00:46:38,700 --> 00:46:41,480
2203
+ ู…ู…ูƒู† ุชุญุท underline ูƒู…ุงู† between adjectives and
2204
+
2205
+ 552
2206
+ 00:46:41,480 --> 00:46:44,460
2207
+ adjectives ุนุดุงู† ูŠุฎู„ูŠู‡ macro ุงูƒุชุฑ ุจูŠุฃุซุฑ ุนู„ู‰ ู‚ูŠู…ุชู‡
2208
+
2209
+ 553
2210
+ 00:46:44,460 --> 00:46:49,280
2211
+ ูŠุนู†ูŠ ู…ุซู„ุง ู„ู…ุง ุงุฏูŠ ู„ูƒ ุงู„ example ุงู„ุชุงู„ูŠ ุงู„ one
2212
+
2213
+ 554
2214
+ 00:46:49,280 --> 00:46:56,540
2215
+ hundred ู…ู…ูƒู† ุชูƒุชุจู‡ ูƒุฏู‡ ูŠุนุชุจุฑ decimal ู…ูŠุฉ ุงุชู„ุงุญุธ
2216
+
2217
+ 555
2218
+ 00:46:56,540 --> 00:47:00,120
2219
+ ุงู†ุง ู…ุด ูƒุงุชุจ ุงู„ base ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ุงู†ุง ูŠุจู‚ู‰ implied
2220
+
2221
+ 556
2222
+ 00:47:00,120 --> 00:47:05,360
2223
+ decimal ุงูˆ one E ุงุชู†ูŠู† ูŠุนู†ูŠ ู‚ุตุฏ ูˆุงุญุฏ ููŠ ุนุดุฑ ุฃู‚ุตุฑ
2224
+
2225
+ 557
2226
+ 00:47:05,360 --> 00:47:08,420
2227
+ ุงุชู†ูŠู† ุงูˆ one E small ุงุชู†ูŠู† ุจุฑุถู‡ the same
2228
+
2229
+ 558
2230
+ 00:47:12,800 --> 00:47:22,200
2231
+ ุงู„ู€ exponent ู…ูุฑูˆุถ ู…ุง ูŠูƒูˆู†ุด ููŠู‡ุง minus sign ู„ู…ุง
2232
+
2233
+ 559
2234
+ 00:47:22,200 --> 00:47:25,820
2235
+ ุชุตูŠุฑ ุงู„ุฑู‚ู… ุจุฏูƒ ุชุนู…ู„ ุนู„ู‰ ุดูƒู„ exponent ูƒุฏู‡ ู…ุงุชุญุทุด
2236
+
2237
+ 560
2238
+ 00:47:25,820 --> 00:47:33,820
2239
+ minus sign ู„ูŠุด ู…ุงุชุญุทุด minus signุŸ ุจูŠุตูŠุฑ float
2240
+
2241
+ 561
2242
+ 00:47:33,820 --> 00:47:40,220
2243
+ ุจูŠุตูŠุฑ float ุจุทู„ ุงู†ุชุฌุฉ ุจูŠุตูŠุฑ float ุจุทู„ ุฑู‚ู… ุตุญูŠุญ
2244
+
2245
+ 562
2246
+ 00:47:43,100 --> 00:47:48,200
2247
+ ูู„ูˆุช ูŠุนู†ูŠ ุฑู‚ู… ุฏู‡ ูˆ ูู„ูˆุช ู„ุฃ
2248
+
2249
+ 563
2250
+ 00:47:48,200 --> 00:47:52,940
2251
+ ู…ุด ุดุฑุท ูŠุนู†ูŠ ู„ูˆ ูƒุชุจุช ุงู†ุง ู‡ู†ุง ููŠ ุงู„ุฃูˆู„ ุงู„ู ุงูŠู‡ ู…ุง ู†ุต
2252
+
2253
+ 564
2254
+ 00:47:52,940 --> 00:47:57,880
2255
+ ุงุชู†ูŠู† ู„ุณู‡ ู…ุด ูู„ูˆุช ุตุญ ุนุดุงู† ูŠุจู‚ูˆุง ู„ู…ุง ูŠู„ุณูˆุง .. ุนุดุงู†
2256
+
2257
+ 565
2258
+ 00:47:57,880 --> 00:48:04,700
2259
+ ูŠู„ุณูˆุง ูŠุนู†ูŠ ู…ุน ุจุนุถ ู„ุฃ ุงู†ุช ุนุงุฑู ู„ูˆ ูƒุชุจ minus ู‡ู†ุง
2260
+
2261
+ 566
2262
+ 00:48:04,700 --> 00:48:08,180
2263
+ ูุตู„ุฉ ุจ minus ุญุณูŠู† ู…ุด ุนุงุฑู ุฌูˆุตูƒ ุงู†ุช ุจุฏูƒ ุชุทุฑุญ ู…ู†
2264
+
2265
+ 567
2266
+ 00:48:08,180 --> 00:48:11,200
2267
+ ุงู„ุฑู‚ู… ุงู„ู„ูŠ ุฌุงุจู„ู‡ ุงุชู†ูŠู†ู…ุชุจู‚ู‰ ู„ูƒ ุจู‚ูˆู„ู‡ุง ู‡ูŠ ุงู„ู„ูŠ ุจุฏูƒ
2268
+
2269
+ 568
2270
+ 00:48:11,200 --> 00:48:16,340
2271
+ ู‡ูŠ ุนู„ู‰ ุจุนุถ ุงู„ู„ูŠ ู‡ูŠ one a minus ุงุชู†ูŠู† ู…ุนุงู‡ ูˆู„ุง ู„ุฃ
2272
+
2273
+ 569
2274
+ 00:48:16,340 --> 00:48:20,760
2275
+ ูˆู„ูˆ ูƒู†ุช ุชุนุฌุฒุชูƒ ุงู†ูƒ ุชุทุฑุญ ุจูŠุทู„ุน ุฑุฌุงู„ ุงู„ู„ูŠ ุนูŠุงุด ููŠู‡
2276
+
2277
+ 570
2278
+ 00:48:20,760 --> 00:48:23,200
2279
+ ุนูŠุงุด ููŠู‡ syntax error ู…ุงูŠู†ูุนุด ูŠุจุฏุฃ ุนูŠุงุด ุงู„
2280
+
2281
+ 571
2282
+ 00:48:23,200 --> 00:48:27,100
2283
+ identifier ุจ numerical ูุฌุงู„ูƒ ุจูŠุณุชุฎุฏู… ุงู„ุงุฑู‚ุงู…
2284
+
2285
+ 572
2286
+ 00:48:27,100 --> 00:48:30,760
2287
+ ู…ุงุชุญุทุด ุงู„ exponent ู…ู…ู†ูˆุน ูŠูƒูˆู† ุนูŠุงุด ุจุงู„ negative
2288
+
2289
+ 573
2290
+ 00:48:30,760 --> 00:48:34,340
2291
+ ุฒุจุท ุงู„ุฑู‚ู… ู‡ุฐุง ุงู„ู„ูŠ ุฌุงุจู„ู‡ ุจุญูŠุซ ู…ุงูŠูƒูˆู†ุด ุนูŠุงุด ู†ูŠุฌุงุชูŠู
2292
+
2293
+ 574
2294
+ 00:48:34,340 --> 00:48:38,040
2295
+ ุงู† ุงุนู…ู„ ุทุจุนุง ุดุฑูƒุฉ ูˆู„ุง ู„ุฃ ุชู…ุงู…
2296
+
2297
+ 575
2298
+ 00:48:40,520 --> 00:48:51,100
2299
+ Okay ู…ุงุดูŠ ูƒูŠูุŸ ุจู†ูุณ ุงู„ุงุดูŠ ู„ูˆ ุญุทูŠุช ุงูŠุด ู„ุฃ
2300
+
2301
+ 576
2302
+ 00:48:51,100 --> 00:48:54,140
2303
+ ู…ุด ู…ุณู…ูˆุนุฉ ุชุญุท ู‚ุนุฏ ุงู„ ุจูŠู† ู‚ูˆุณูŠู† ุงู„ู„ูŠ ู„ุงุฒู… ุนู„ู‰ ุทูˆู„
2304
+
2305
+ 577
2306
+ 00:48:54,140 --> 00:48:59,480
2307
+ ูˆุฑุง ุงู„ okay
2308
+
2309
+ 578
2310
+ 00:48:59,480 --> 00:49:05,360
2311
+ ููŠ base literal ุจูŠุณุชุฎุฏู… ูŠุนู†ูŠ ุจูŠูƒุชุจ ุงู„ base ุจุดูƒู„
2312
+
2313
+ 579
2314
+ 00:49:05,360 --> 00:49:13,250
2315
+ ุตุฑูŠุญุงู„ base ู…ู…ูƒู† ูŠูƒูˆู† ุฃูŠ ุฑู‚ู… ู…ู† 2 ู„ุบุงูŠุฉ ุงู„ 16 ุงู„
2316
+
2317
+ 580
2318
+ 00:49:13,250 --> 00:49:17,970
2319
+ number ู†ูุณู‡ ุจุชุญุทู‡ between ุงู„ number signs ุงู„ู„ูŠ
2320
+
2321
+ 581
2322
+ 00:49:17,970 --> 00:49:22,870
2323
+ ู‡ุฏูˆู„ ุงู„ุนู„ุงู…ุฉ ู‡ุฐู‡ ู†ูุณ ุงู„ุฑู‚ู… ูˆ ุงู„ base ุจุชุญุทู‡ ุฌุงุจู„ู‡ ูƒ
2324
+
2325
+ 582
2326
+ 00:49:22,870 --> 00:49:30,530
2327
+ prefix ูˆ ู„ูˆ ููŠ exponent ุจุชุญุทู‡ุง ุจุนุฏู‡ ุจุนุฏ ุงู„ู„ูŠ ู‡ูˆ
2328
+
2329
+ 583
2330
+ 00:49:30,530 --> 00:49:36,390
2331
+ ุงู„ุฑู‚ู…ูˆ ู…ู…ูƒู† ุชุถุน ุชุนุฑูŠู ุจูŠู† ุงู„ู€ adjectives ุนุดุงู† ุชุฌุนู„
2332
+
2333
+ 584
2334
+ 00:49:36,390 --> 00:49:41,790
2335
+ ุงู„ู…ู‚ุฑูˆุน ุจุดูƒู„ ุฃูุถู„ ูˆ ู„ูˆ ุงู†ุช ุญุงุทู‰ ุงู„ base ูˆ ุงู„
2336
+
2337
+ 585
2338
+ 00:49:41,790 --> 00:49:49,450
2339
+ exponent ู„ุงุฒู… ุชูƒุชุจูˆุง ุจุงู„ decimal ู„ุงุฒู…
2340
+
2341
+ 586
2342
+ 00:49:49,450 --> 00:49:55,130
2343
+ ุชูƒุชุจูˆุง ุจุงู„ decimal ูŠุนู†ูŠ ู…ุซู„ุง ุงู„ decimal ู…ูŠุฉ ู…ู…ูƒู†
2344
+
2345
+ 587
2346
+ 00:49:55,130 --> 00:50:00,230
2347
+ ุชูƒุชุจูˆุง ูƒุฏู‡ ู‡ุฐู‡ ูุนู„ุง ุชู„ุงุญุธ ุงู„ุนุดุฑุฉ ู‡ุฏุฑ ุชุนุชุจุฑ ุงูŠู‡ุŸ ุงู„
2348
+
2349
+ 588
2350
+ 00:50:00,230 --> 00:50:00,570
2351
+ base
2352
+
2353
+ 589
2354
+ 00:50:03,290 --> 00:50:05,790
2355
+ ู‡ุฐู‡ ุงู„ base ู„ุฃู† ุงู„ุฃุฑู‚ุงู… ุงู„ู„ูŠ ุฏุงุฎู„ู‡ุง ุชุญุชูˆู‰ ุนู„ู‰
2356
+
2357
+ 590
2358
+ 00:50:05,790 --> 00:50:11,330
2359
+ decimal ูŠุงุด ุงู„ู„ูŠ ู‡ูŠ ู…ูŠุฉ ุงูˆ ู…ู…ูƒู† ุชูƒุชุจ ูƒุฏู‡ ู‡ู†ุง ุงุชู†ูŠู†
2360
+
2361
+ 591
2362
+ 00:50:11,330 --> 00:50:16,710
2363
+ ู…ุนู†ุงุชู‡ ุงู„ base ูŠุงุด ุงู„ binary ู„ูˆ ุงู†ุช ุงู„ุฑู‚ู… ู‡ุฐูŠ
2364
+
2365
+ 592
2366
+ 00:50:16,710 --> 00:50:18,870
2367
+ ู‡ุชู„ุงู‚ูŠู‡ ูุนู„ุง ุงู„ูƒูˆุจุฉ ุงู„ู„ูŠ ุงุชู„ุงู‚ูŠู‡ ูŠุงุด ุฏุง decimal
2368
+
2369
+ 593
2370
+ 00:50:18,870 --> 00:50:25,690
2371
+ ู…ูŠุฉ ุทุจุนุง ุจู…ุง ุงู†ู‡ binary ู…ุนู†ุงุชู‡ ู„ุงุฒู… ูŠูƒูˆู† binary ู‡ูˆ
2372
+
2373
+ 594
2374
+ 00:50:25,690 --> 00:50:28,610
2375
+ ู…ุดูƒู„ุชู‡ ู„ู…ุง ูŠู†ูุนุด ุชุณุชุฎุฏู… ุฃุฑู‚ุงู… ุฃุถุงุฏุงู† ุงู„ู„ูŠ ู‡ูˆ ุงู„
2376
+
2377
+ 595
2378
+ 00:50:28,610 --> 00:50:34,570
2379
+ zero and ุงู„ูˆุงุญุฏู‡ู†ุง ุจุฑุถู‡ it is binary ุจุณ ุฎู„ู‘ุง
2380
+
2381
+ 596
2382
+ 00:50:34,570 --> 00:50:39,270
2383
+ readable ุฃูƒุชุฑ ุญุท ุงู„ underscore ุจูŠู†ูุน it works ู‡ู†ุง
2384
+
2385
+ 597
2386
+ 00:50:39,270 --> 00:50:45,110
2387
+ ุงู„ base is hexadecimal ุณุชุฉ ุนุดุฑุฉ ุณุชุฉ ุฃุฑุจุนุฉ ุงู„ู„ูŠ ู‡ูˆ
2388
+
2389
+ 598
2390
+ 00:50:45,110 --> 00:50:52,830
2391
+ ุงู„ main ุชู…ุงู… it works it
2392
+
2393
+ 599
2394
+ 00:50:52,830 --> 00:50:53,270
2395
+ works
2396
+
2397
+ 600
2398
+ 00:51:19,700 --> 00:51:24,860
2399
+ ุทู„ุน ุนู„ู‰ ุงู„ example ุงู„ุชุงู„ูŠ ู‡ู†ุง ุจุฏูŠ ุงุนู…ู„ comparator
2400
+
2401
+ 601
2402
+ 00:51:24,860 --> 00:51:28,680
2403
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุบุฑูŠุจ ุดูˆูŠุฉ ู‡ุชู„ุงู‚ูŠู‡ ุจุงู„ types ุงู„ู„ูŠ
2404
+
2405
+ 602
2406
+ 00:51:28,680 --> 00:51:35,180
2407
+ ุงุณุชุฎุฏู…ู‡ุง ู„ู„ signals ุงู„ entity ุงู„ a in integer ูˆ ุงู„
2408
+
2409
+ 603
2410
+ 00:51:35,180 --> 00:51:40,340
2411
+ range ู…ู† 0 ู„ 15 ูˆ ุงู„ b in integer ูุงู„ุนุงุฏุฉ ุงุญู†ุง
2412
+
2413
+ 604
2414
+ 00:51:40,340 --> 00:51:44,840
2415
+ ุจูŠู‚ูˆู„ ุงู„ input ูˆ ุงู„ output standard logicalุฃูˆ ุตุญูŠุญ
2416
+
2417
+ 605
2418
+ 00:51:44,840 --> 00:51:49,600
2419
+ ุงู„ vectors ู…ุด ู‡ูŠูƒูˆุงู„ุงู† ู„ูƒู† ู…ู…ูƒู† ุชุนู…ู„ ูƒุฏู‡ ูˆ ุงู„ูˆุนูŠู‡
2420
+
2421
+ 606
2422
+ 00:51:49,600 --> 00:51:52,980
2423
+ ุจุฒุง ู…ุง ู‡ูŠู‚ูˆู„ ู‡ุงู„ gate ู…ู† zero ู„ ุนูŠุฏ ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ b
2424
+
2425
+ 607
2426
+ 00:51:52,980 --> 00:51:56,620
2427
+ ู…ู† zero ู„ ุนูŠุฏ ุฎู…ุณุชุงุดุฑ ูˆ ุงู„ equal ุญุชู‰ ู…ุงุนู…ู„ุชุด ุตุญ
2428
+
2429
+ 608
2430
+ 00:51:56,620 --> 00:52:02,660
2431
+ ุจูŠุนู…ู„ู‡ุง Boolean ุงู„ equal out is Boolean ุดูˆู ุงู„
2432
+
2433
+ 609
2434
+ 00:52:02,660 --> 00:52:06,640
2435
+ possessed comparator ุฅุฐุง ุงู„ a ุจูŠุณูˆุง ุจูŠู‡ ุงู„ equal
2436
+
2437
+ 610
2438
+ 00:52:06,640 --> 00:52:09,800
2439
+ ุจูŠุตูŠุฑ true ุฃุฏูˆุงุช ุจูŠุตูŠุฑ ุฅูŠุดูุงู„ุด ูŠุนู†ูŠ ุงู„ code ู…ุงููŠุด
2440
+
2441
+ 611
2442
+ 00:52:09,800 --> 00:52:14,200
2443
+ ููŠู‡ ู…ุดุงูƒู„ ุจุณูŠุท ุฌุฏุง ู„ูƒู† ุงู„ุชุนู„ูŠู‚ุงุช ู‡ูŠ ุงู„ู„ูŠ ู‡ุชูƒูˆู†
2444
+
2445
+ 612
2446
+ 00:52:14,200 --> 00:52:17,500
2447
+ ู…ููŠุฏุฉ
2448
+
2449
+ 613
2450
+ 00:52:17,500 --> 00:52:27,920
2451
+ ุงู„
2452
+
2453
+ 614
2454
+ 00:52:27,920 --> 00:52:32,720
2455
+ ุงุฐุง ุงู†ุช ุจุชูƒุชุจ code ู†ู‡ูˆ ุชุนู…ู„ู‡ with instances ุงู„ุงูุถู„
2456
+
2457
+ 615
2458
+ 00:52:32,720 --> 00:52:39,780
2459
+ ู…ุงูŠุณุชุฎุฏู…ุด ุงู„ุงู„ู€ boolean ูˆ ุงู„ integer types ู„ุฃู†ูˆุงุน
2460
+
2461
+ 616
2462
+ 00:52:39,780 --> 00:52:44,380
2463
+ ุงู„ parts ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆู‡ ู„ internal local signals
2464
+
2465
+ 617
2466
+ 00:52:44,380 --> 00:52:52,640
2467
+ ุฏุงุฎู„ูŠุฉ ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆุง ุงู„ internal ุฃูŠุด ู„ูƒู† ู„ู„ parts
2468
+
2469
+ 618
2470
+ 00:52:52,640 --> 00:52:59,060
2471
+ ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ุชุญุฏูŠุฏ ู…ุงูŠุณุชุฎุฏู…ุด ุงู„ types ู‡ุฐู‡ ุชู…ุงู… ู‡ุฐู‡
2472
+
2473
+ 619
2474
+ 00:52:59,060 --> 00:53:05,600
2475
+ ุฃูˆู„ ุดุบู„ุฉ ู„ูŠุด ู„ุฃู† ุงู†ุช ู„ูˆ ุงุณุชุฎุฏู…ุช integer typeู„ู„ู€
2476
+
2477
+ 620
2478
+ 00:53:05,600 --> 00:53:08,220
2479
+ signal ู„ู…ุง ูŠุฌูŠ ูŠุนู…ู„ ุงู„ synthesis ูƒู„ู‡ุง ุจูŠุญูˆู„ู‡ุง ููŠ
2480
+
2481
+ 621
2482
+ 00:53:08,220 --> 00:53:15,780
2483
+ ุงู„ุขุฎุฑ ุงู„ a's ู„ standard logic vector ู„ standard
2484
+
2485
+ 622
2486
+ 00:53:15,780 --> 00:53:18,880
2487
+ logic a's vector ุจูŠู‚ุฏุฑ ูŠุณุชูˆุนุจ ุงู„ range ุชุจุน ุงู„
2488
+
2489
+ 623
2490
+ 00:53:18,880 --> 00:53:25,080
2491
+ integer ุชุงุจุน ุงู„ู„ูŠ ุงู†ุช ู…ุณุชุฎุฏู…ู‡ ูŠุนู†ูŠ ุจู…ุนู†ู‰ ู‡ู†ุง ู„ู…ุง
2492
+
2493
+ 624
2494
+ 00:53:25,080 --> 00:53:29,380
2495
+ ูŠุฌูŠ ูŠุญูˆู„ูƒ ุงู„ a ู‡ู†ุง ู…ุด ุจูŠุทู„ุน ุจูŠุดุชุบู„ ุงู„ code ูƒู„ู‡ุง
2496
+
2497
+ 625
2498
+ 00:53:29,380 --> 00:53:31,520
2499
+ ุจุนุฏ ุงู„ post synthesis ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ู‡ูˆ ุงู„ู„ูŠ ุนู„ูŠู‡
2500
+
2501
+ 626
2502
+ 00:53:31,520 --> 00:53:35,320
2503
+ ุจูŠุนู…ู„ simulation ููŠ ุงู„ุขุฎุฑุจูŠุญูˆู„ูƒ ุงู„ A ุงู„ู‰ standard
2504
+
2505
+ 627
2506
+ 00:53:35,320 --> 00:53:41,620
2507
+ logic vector ูƒู… bit ุงุฑุจุนุฉ bit ู„ุงู† ู‡ู†ุง ุงู„ maximum
2508
+
2509
+ 628
2510
+ 00:53:41,620 --> 00:53:45,900
2511
+ ู„ุฌู‡ุฉ ุนู†ุฏูƒ ุจูƒู…ุŸ ุฎู…ุณ ุนุดุฑ ูƒุงู† ุจูŠ accommodated ุจุงุฑุจุนุฉ
2512
+
2513
+ 629
2514
+ 00:53:45,900 --> 00:53:48,640
2515
+ bit ุงุช ู…ูˆุณุท ู…ุด ุดูƒูˆู‡ ูŠุนู†ูŠ ูุจูŠุญูˆู„ ุงู„ A ุงู„ู‰ standard
2516
+
2517
+ 630
2518
+ 00:53:48,640 --> 00:53:52,020
2519
+ logic vector ูƒู… bit ุงุฑุจุนุฉ bit ูุงู†ุช ู…ู† ุงู„ุจุฏุงูŠุฉ
2520
+
2521
+ 631
2522
+ 00:53:52,020 --> 00:54:00,100
2523
+ ุงุชุฎู„ูŠ ุจูŠุด ุงุชุฎู„ูŠ ุงุฑุจุนุฉ ุงุชุฎู„ูŠ standard logic vector
2524
+
2525
+ 632
2526
+ 00:54:01,130 --> 00:54:04,230
2527
+ ุฃูŠ ู†ุนู… ุงูŠ ู†ุนู… ุงู„ุตู†ุฏูˆู‚ ุงู„ููƒุฑุฉ ูˆ ุงู„ link ุชุจุนู‡ ุงุฑุจุนุฉ
2528
+
2529
+ 633
2530
+ 00:54:04,230 --> 00:54:16,290
2531
+ bits ุฏูŠ ุงูˆู„ ุญุงุฌุฉ ุงู†ุช
2532
+
2533
+ 634
2534
+ 00:54:16,290 --> 00:54:19,790
2535
+ ุนุงุฑู ุงู„ integer ุงู„ู„ูŠ ููŠ ุงู„ุฃุณุงุณ ูƒุงู… bit ุงุชู†ูŠู† ูˆ
2536
+
2537
+ 635
2538
+ 00:54:19,790 --> 00:54:24,390
2539
+ ุชู„ุงุชูŠู† bits ุงุฐุง ู‡ูˆ unconstant ูุจุงู„ุชุงู„ูŠ ู„ูˆ ุงู†ุช ู‚ุตุฑุช
2540
+
2541
+ 636
2542
+ 00:54:24,390 --> 00:54:29,600
2543
+ ู‡ุณุชุฎุฏู… integer type ููŠ ุงู„ designุจุชุนู…ู„ ุญุณุงุจูƒ ุงู† ุงู„
2544
+
2545
+ 637
2546
+ 00:54:29,600 --> 00:54:34,460
2547
+ type ุงู„ู„ูŠ ุงุณุชุฎุฏู…ู‡ ูŠูƒูˆู† constraint ู„ุฃุฌุงุฑ ุงู„ range
2548
+
2549
+ 638
2550
+ 00:54:34,460 --> 00:54:38,420
2551
+ ูŠุนู†ูŠ ุจู…ุดูŠ ููŠ ุงู„ุดูˆุงุฑุน ู„ุฃู†ู‡ ููŠ ุงู„ุขุฎุฑ ูƒู„ ูˆุงุญุฏ ู‡ุชุญูˆู„
2552
+
2553
+ 639
2554
+ 00:54:38,420 --> 00:54:46,680
2555
+ ุฅู„ูŠู‡ ู‡ุฏูˆุงุฒ ูˆุจุนุถ ูˆ signals ุทุจุนุง ุฅุฐุง ุงุณุชุฎุฏู…ุช integer
2556
+
2557
+ 640
2558
+ 00:54:46,680 --> 00:54:50,460
2559
+ type ุณูˆุงุก ุงู†ุช ุนุงู…ู„ู‡ ุจูŠุฏูƒ ุงูˆ integer ุงู„ุนุงุฏู„ ุนุงุฑููŠู†
2560
+
2561
+ 641
2562
+ 00:54:50,460 --> 00:54:55,280
2563
+ ุงู†ู‡ุง integer ุงูˆ natural ุงูˆ ูƒุฏู‡ ูŠุนู†ูŠ
2564
+
2565
+ 642
2566
+ 00:54:55,770 --> 00:55:01,290
2567
+ ุนู…ู„ type ูˆุฎู„ู‘ูŠู‡ constraint ูˆุญุฏุฏ ุงู„ range ุงู„ู„ูŠ ุงู†ุช
2568
+
2569
+ 643
2570
+ 00:55:01,290 --> 00:55:04,550
2571
+ .. ุงู„ .. ุงู„ .. ุงู„ hardware ุญุงุดุชู‡ ุงู„ู„ูŠ ู‡ูŠ ููŠ ุงู„ุขุฎุฑ
2572
+
2573
+ 644
2574
+ 00:55:04,550 --> 00:55:08,850
2575
+ ุนู„ุดุงู† each other ู„ู…ุง ูŠุญุงูˆู„ูˆุง ุงู„ hardware ูŠุฎุชุงุฑูˆุง
2576
+
2577
+ 645
2578
+ 00:55:08,850 --> 00:55:11,070
2579
+ ุงู„ minimum ูˆ number ูˆ bits ุนุดุงู† ูŠู…ุซู„ูƒ ุงู„ signal
2580
+
2581
+ 646
2582
+ 00:55:11,070 --> 00:55:14,690
2583
+ ู‡ุฐูŠ ู…ุด ู‡ูŠูƒ ูˆ ู‡ุฐุง ุงูŠู‡ ู†ุนู… ูŠุจู‚ู‰ ุงู„ show ุงู„ู„ูŠ ุงู†ุช ุจุณ
2584
+
2585
+ 647
2586
+ 00:55:14,690 --> 00:55:15,990
2587
+ ุนู†ุฏูƒ ุงู„ maximum ุจู‚ู‰ ุงู„ู„ูŠ ุจู‚ู‰ ุงู„ู„ูŠ ู‡ุชู…ุดูŠ ุนู„ู‰ ุงู„
2588
+
2589
+ 648
2590
+ 00:55:15,990 --> 00:55:18,210
2591
+ signal ุงู„ุฎู…ุณ ุนุดุฑ ุนุดุฑุฉ ู‚ูŠู…ุชู‡ุง ูŠุจู‚ู‰ ุงุฑุจุนุฉ ุจูŠุณุช ู„ูŠุด
2592
+
2593
+ 649
2594
+ 00:55:18,210 --> 00:55:19,130
2595
+ ุชุฎู„ูŠู‡ุง ุชู„ุชูŠู† ุงุตู„ุง
2596
+
2597
+ 650
2598
+ 00:55:22,530 --> 00:55:26,350
2599
+ ููŠ ู†ุงู‚ุด ุงู„ data tabs ุฃู†ุง ู…ุฑูƒุฒ ุนู„ูŠู‡ุง ูƒุชูŠุฑ ู„ุฃู†ู‡ ุงู†ุช
2600
+
2601
+ 651
2602
+ 00:55:26,350 --> 00:55:30,090
2603
+ ูƒู„ู‡ ููŠ ุงู„ุฃุฎุฑ ู‡ูŠุชุฑุฌู… ุงู„ hardware ุงู†ุช you are not
2604
+
2605
+ 652
2606
+ 00:55:30,090 --> 00:55:32,370
2607
+ just writing some program ุนู„ู‰ ุงู„ุฌุงุนุฏุฉ ุนู„ู‰ ุงู„
2608
+
2609
+ 653
2610
+ 00:55:32,370 --> 00:55:35,730
2611
+ laptop ูˆ ุนู„ูŠู‡ ู…ุซู„ุง ูƒุฏู‡ ุฌูŠุฌุง ููŠ ุงู„ ram ูˆ ุงู„ .. ูˆ
2612
+
2613
+ 654
2614
+ 00:55:35,730 --> 00:55:40,150
2615
+ ุงู„ุฑู‚ู… ุงู„ flow ุงู„ double ุงู„ .. ุงู„ .. ุงู„ character
2616
+
2617
+ 655
2618
+ 00:55:40,150 --> 00:55:43,270
2619
+ integer ูƒุฏู‡ ู…ุด ุณุงุฆู„ ุงู†ุช ู…ุด ู‡ูŠูƒ ูˆู„ุง .. ูˆ ู„ูˆ ุงู†
2620
+
2621
+ 656
2622
+ 00:55:43,270 --> 00:55:45,190
2623
+ ุงู„ู…ูุฑูˆุถ ูƒู†ุช ุชุณุฃู„ ุนู„ู‰ ููƒุฑุฉ ุญุชู‰ ููŠ ุงู„ programs
2624
+
2625
+ 657
2626
+ 00:55:45,190 --> 00:55:48,050
2627
+ ุงู„ุนุงุฏูŠุฉ ุจุณ ู„ุฃู†ู‡ ุงู†ุช usually you are writing some
2628
+
2629
+ 658
2630
+ 00:55:48,050 --> 00:55:50,970
2631
+ programs ู…ุงูƒู†ูˆุด ุชุณุฃู„ูˆุงู„ูˆ ุชูƒุชุจ application ูƒุจูŠุฑุฉ ูˆ
2632
+
2633
+ 659
2634
+ 00:55:50,970 --> 00:55:54,670
2635
+ ูƒุฏู‡ุŒ ุจุชุชุทู„ุน ุนู„ู‰ every .. ุนู„ู‰ ูƒู„ byte ุจุชุญุณุจู‡ุงุŒ
2636
+
2637
+ 660
2638
+ 00:55:54,670 --> 00:55:57,190
2639
+ ู…ุงุจุจู‚ู‰ ู„ูƒุŸ ุญุชู‰ ููŠ test business ูƒู…ุงู† ุงุชุฌุฑุจุŒ
2640
+
2641
+ 661
2642
+ 00:55:57,190 --> 00:56:00,270
2643
+ ู…ุงุจุฑุฏู„ุชุงุดุŒ ู…ุงู†ุง ุฌุฑุจุช ู…ุซู„ุง ู…ุงู†ุง ุนู…ู„ุช standard logic
2644
+
2645
+ 662
2646
+ 00:56:00,270 --> 00:56:04,170
2647
+ vectorุŒ ุบูŠุฑ ู…ุงุนู…ู„ ุงู„ range ุชุจุนู‡ุŒ ุฐุฑุน ุจุชุนุทูŠู‡ ู‚ูŠู…ุฉุŒ
2648
+
2649
+ 663
2650
+ 00:56:04,170 --> 00:56:08,280
2651
+ ู…ุงุฑุงุถูŠุด ูƒู„ู‡ุŒ ู„ุงุฒู… ูŠูƒูˆู† ุนุฏุฏ ุงู„ range ู‡ุฐุง ู‡ูŠูุงุญู†ุง we
2652
+
2653
+ 664
2654
+ 00:56:08,280 --> 00:56:11,400
2655
+ are explaining every aspect ููŠ ุงู„ูƒู„ุงู… ู‡ุฐุง ู„ุฃู†ู‡
2656
+
2657
+ 665
2658
+ 00:56:11,400 --> 00:56:13,640
2659
+ ู…ููŠุฏ ู„ุงุฒู… ูŠุนุฑูู‡ุง ูƒู„ู‡ุง ุงู„ details ุนุดุงู† ู„ู…ุง ูŠุทู„ุนู„ูƒ
2660
+
2661
+ 666
2662
+ 00:56:13,640 --> 00:56:15,700
2663
+ errors ูƒู„ู‡ ูŠุนุฑูุด ุงู„ ู‚ุตุฉ ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุง ู„ูŠุด ุจูŠุตูŠุฑ
2664
+
2665
+ 667
2666
+ 00:56:15,700 --> 00:56:18,840
2667
+ ุงูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุง ุนุดุงู† ู…ุงูŠูƒูˆู†ุด ูƒู…ุงู†
2668
+
2669
+ 668
2670
+ 00:56:18,840 --> 00:56:21,660
2671
+ ุชุตุญูŠูƒ ู„ู„ุฎุทุฃ ุงูˆ ู…ุฌุฑุฏ trial and error ุทุจ ุฎู„ูŠ ู‡ุงุฏ ูƒุฏู‡
2672
+
2673
+ 669
2674
+ 00:56:21,660 --> 00:56:23,940
2675
+ ูƒุฏู‡ ุฒุจุทุช ู„ูŠุด ุฒุจุทุช ู…ุด ุนุงุฑู ุงูŠู‡ ุจุงู„ุถุจุท ุจุญูŠุซ ุจุนุฏ
2676
+
2677
+ 670
2678
+ 00:56:23,940 --> 00:56:26,280
2679
+ ุฃุณุจูˆุน ูŠู…ูƒู† ู†ุณู‡ุฑ ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุง ู„ูƒู† ู„ุงุฒู… ุชูŠุนุฑู
2680
+
2681
+ 671
2682
+ 00:56:26,280 --> 00:56:28,880
2683
+ ุงู„ุฃุณุงุณ ูƒูŠู ุงู„ู…ูˆุถูˆุน ุฃู†ุช ุจุชุนู…ู„ ู‡ุฐุง ุงู„ .. ู„ุงุฒู… ุชูŠุนุฑู
2684
+
2685
+ 672
2686
+ 00:56:28,880 --> 00:56:32,240
2687
+ ูƒู„ ุดูŠุก okay ู…ุงุดูŠ ุทูŠุจ
2688
+
2689
+ 673
2690
+ 00:56:56,870 --> 00:57:01,850
2691
+ ู…ุงุดูŠ ู„ู…ุง ุชูŠ ุชูƒุชุจ code ุทุจุนุง ุจุชูƒุชุจ ุงู„ entity ู…ุด ู‡ูŠูƒ
2692
+
2693
+ 674
2694
+ 00:57:01,850 --> 00:57:05,450
2695
+ ูˆู„ุง ููŠ ุงู„ entity ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠ path ุจุชุฏูŠ ูƒู„ port
2696
+
2697
+ 675
2698
+ 00:57:05,450 --> 00:57:11,180
2699
+ ุงู„ู„ูŠ ู‡ูŠ some typeู…ุฑุงุช ุจู†ุณุชุฎุฏู… types .. types
2700
+
2701
+ 676
2702
+ 00:57:11,180 --> 00:57:15,100
2703
+ ู†ุณู…ูŠู‡ุง ุฅูŠู‡ ู„ูƒ ู‡ู†ุง abstract types ุจุญูŠุซ ุจูŠุณู‡ู„ ุงู„ ..
2704
+
2705
+ 677
2706
+ 00:57:15,100 --> 00:57:23,480
2707
+ ุงู„ coding ู„ูƒู† ุงู„ .. ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุงู†ู‡ ุจู…ุง ุฃู†ู‡ ุงู†ุช ููŠ
2708
+
2709
+ 678
2710
+ 00:57:23,480 --> 00:57:26,960
2711
+ ุงู„ุบุงู„ุจ ู‡ุชุนู…ู„ ุงู„ tenses ู„ุงุฒู… ุชููƒุฑ ุฌูŠุฏุง ููŠ .. ููŠ ..
2712
+
2713
+ 679
2714
+ 00:57:26,960 --> 00:57:30,080
2715
+ ููŠ ุงุฎุชูŠุงุฑูƒ ู„ู„ .. ุงูˆ ููŠ .. ููŠ ุงู†ูƒ ุชุณุชุฎุฏู… ุงู„
2716
+
2717
+ 680
2718
+ 00:57:30,080 --> 00:57:34,430
2719
+ abstract types ุฒูŠ ู…ุง ู‡ู†ุดูˆู ู‡ุงู„ gateู„ุฃู† ุงู„ู€
2720
+
2721
+ 681
2722
+ 00:57:34,430 --> 00:57:43,350
2723
+ Abstract type ููŠ ุงู„ุฃุฎุฑ ูŠุญูˆู„ ุฅู„ู‰ types ุฃุฎุฑู‰ ู„ุฃู†
2724
+
2725
+ 682
2726
+ 00:57:43,350 --> 00:57:46,310
2727
+ ููŠ ุงู„ุฃุฎุฑ ุงู„ู€ type ู„ุงุฒู… ูŠูƒูˆู† ุจูŠุชู…ุซู„ ุนู„ู‰ ูˆูŠุฑุชุฒ ุฃูˆ
2728
+
2729
+ 683
2730
+ 00:57:46,310 --> 00:57:51,890
2731
+ ุนู„ู‰ sixdes ู…ุด ู‡ูŠูƒ ุจูŠุญูˆู„ูƒ ููŠ ุงู„ุฃุฎุฑ ู‡ุชู„ุงู‚ูŠ ุงู† ุจูŠุญูˆู„ูƒ
2732
+
2733
+ 684
2734
+ 00:57:51,890 --> 00:57:54,210
2735
+ ูƒู„ ุงู„ types ู„ standard logic vector ุฃูˆ standard
2736
+
2737
+ 685
2738
+ 00:57:54,210 --> 00:57:59,210
2739
+ logic ุงู„ู…ุซุงู„
2740
+
2741
+ 686
2742
+ 00:57:59,210 --> 00:57:59,710
2743
+ ุงู„ู„ูŠ ูุงุช
2744
+
2745
+ 687
2746
+ 00:58:05,770 --> 00:58:12,250
2747
+ ูƒุงู† ุงู„ declaration ุจุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุงู„ a integer ูˆ ุงู„
2748
+
2749
+ 688
2750
+ 00:58:12,250 --> 00:58:19,310
2751
+ b ู‡ุฏูˆู„ abstract ุชู…ุงู… ูˆ ู‡ุฏุง ุจุฑุถู‡ abstract ุงู„ thesis
2752
+
2753
+ 689
2754
+ 00:58:19,310 --> 00:58:24,570
2755
+ ู„ู…ุง ูŠุนู…ู„ูƒ ุงู„ code ุงู„ู„ูŠ ุจูŠุทู„ุน ู…ู†ู‡ ุจูŠุณุชุจุฏ ุงู„ entity
2756
+
2757
+ 690
2758
+ 00:58:24,570 --> 00:58:29,650
2759
+ ู‡ุฏูŠ ุจุงู„ entity ู‡ุฏูŠ ุทุจุนุง ุชุญูˆู„ูƒ ุงู„ a ู„ ู…ูŠู† ุงู„
2760
+
2761
+ 691
2762
+ 00:58:29,650 --> 00:58:32,830
2763
+ standard vector ูˆ ุงู„ b ุงู„ standard vector ูˆ ุงู„
2764
+
2765
+ 692
2766
+ 00:58:32,830 --> 00:58:37,470
2767
+ equal ุชุญูˆู„ู‡ุง ุฅู„ู‰ standard logicุนุดุงู† ูŠู‚ุฏุฑ ูŠู‚ุฏุฑ
2768
+
2769
+ 693
2770
+ 00:58:37,470 --> 00:58:41,790
2771
+ ูŠุนู…ู„ูƒ hardware ูุงู†ุช ู…ู† ุงู„ุฃุณุงุณ ูƒุฃู†ุง ุนุฑูุชู‡ ุตุงุฑุชุด ูˆ
2772
+
2773
+ 694
2774
+ 00:58:41,790 --> 00:58:43,490
2775
+ ู‚ูˆู„ุชู„ู‡ ุฑุงูŠุญุช ุฑุงุณูƒ ุญุชู‰ ููŠ ุณุจุจ ุฃุฌูˆุงุก ูƒู…ุงู† ุฑุงุฌูŠุช
2776
+
2777
+ 695
2778
+ 00:58:43,490 --> 00:58:49,390
2779
+ ู‡ู‚ูˆู„ูƒ ุนู„ูŠู‡ุง ูƒู…ุงู† ุชู…ุงู…ุŸ ุญุงุฌุงุช ููŠ ุณุจุจ ุฃุฌูˆุงุก ูŠุนู†ูŠ as
2780
+
2781
+ 696
2782
+ 00:58:49,390 --> 00:58:52,450
2783
+ long as ุงู„ issue ุจุฏูˆุด ู…ู†ู‡ุง ุชุฏุฎู„ ู…ุด ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ูŠุนู…ู„
2784
+
2785
+ 697
2786
+ 00:58:52,450 --> 00:58:55,630
2787
+ ุงู„ุชุญูˆูŠู„ main ุงู„cessor ูˆ ุงู„ tools ูŠุนู†ูŠ ู‡ุงู„ุฌูŠุช
2788
+
2789
+ 698
2790
+ 00:58:55,630 --> 00:58:58,570
2791
+ ู‡ุชู„ุงู‚ูŠ ู„ูˆ ุฎู„ูŠุชู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ู‡ุชุบู„ุจูƒ ููŠ ุงู„ test
2792
+
2793
+ 699
2794
+ 00:58:58,570 --> 00:59:01,230
2795
+ benches ููŠ ุงู„ test ูŠุนู†ู‰ ุงูŠุดุŸ Benches
2796
+
2797
+ 700
2798
+ 00:59:05,660 --> 00:59:08,760
2799
+ ุทุจ ู…ู† ูˆูŠู† ู‡ูˆ ู‚ุฑุฑ ุงู†ู‡ ู‡ู†ุง ุชุณุงู†ุฏุฑ ุฌูˆุฌู„ ูƒู†ุชุฑ ุชู„ุงุชุฉ
2800
+
2801
+ 701
2802
+ 00:59:08,760 --> 00:59:14,740
2803
+ down to zero ู…ู† ุงู„ range of values
2804
+
2805
+ 702
2806
+ 00:59:14,740 --> 00:59:18,000
2807
+ ู…ู† 0 ุฅู„ู‰ 11 ุจุฏู‡ุง ูŠุงุด 4 ุจุณ ูู‡ู†ุง ู‚ุฑุฑ ุจุฏู‡ ูŠุงุด ุจุฏู‡ 4
2808
+
2809
+ 703
2810
+ 00:59:18,000 --> 00:59:23,480
2811
+ ุจุณ ุงู„ minimum ุงู„ minimum ุงุณุชุฎุฏู… ูŠุงุด ุงู„ minimum ูˆ
2812
+
2813
+ 704
2814
+ 00:59:23,480 --> 00:59:27,720
2815
+ ุชู„ุงุญุธ ุงู†ู‡ ุงู„ boolean ุญูˆู„ู‡ ู„ูŠุงุด ู„ standard logic
2816
+
2817
+ 705
2818
+ 00:59:32,490 --> 00:59:36,310
2819
+ ุฅุฐุง ู‚ู„ู†ุง ุงู„ data types ุจูŠุฌุณู…ูˆู‡ู… ู„ุงู†ูˆุงุนูŠู† abstract
2820
+
2821
+ 706
2822
+ 00:59:36,310 --> 00:59:43,310
2823
+ ูˆ non-abstract ุงู„ non-abstract ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„
2824
+
2825
+ 707
2826
+ 00:59:43,310 --> 00:59:45,830
2827
+ target ุงู„ู…ุณุชุฎุฏู… ุจู…ุซู„ ุดุฌุฑุฉ ุนุดุงู† ูŠู…ุณูƒ ุงู„ุดุฌุฑุฉ ูˆ ูŠุทู„ุน
2828
+
2829
+ 708
2830
+ 00:59:45,830 --> 00:59:51,810
2831
+ ุนู„ูŠ ุงู„ wires ูˆู‡ุฐู‡ ููŠู‡ุง ุนุจุงุฑุฉ ุจุชุดู…ู„ ุงู„ logic and
2832
+
2833
+ 709
2834
+ 00:59:51,810 --> 00:59:58,590
2835
+ logic vectorุงู„ู€ Abstract ุนุจุงุฑุฉ ุนู† ุงู„ู€ tiles ู„ุงุฒู…
2836
+
2837
+ 710
2838
+ 00:59:58,590 --> 01:00:02,830
2839
+ ูŠุญูˆู‘ู„ ุงู„ุดุฌุฑ ุฅู„ู‰ ุฅูŠู‡ุŸ ุฅู„ู‰ non-abstract ุนุดุงู† ู†ู‚ุฏุฑ
2840
+
2841
+ 711
2842
+ 01:00:02,830 --> 01:00:04,930
2843
+ ูŠู…ุซู„ ุฃูˆ ูŠุนู…ู„ ุงู„ู€ get level netless ู…ุด ู‡ูŠูƒูู‡ ูŠุนู†ูŠ
2844
+
2845
+ 712
2846
+ 01:00:04,930 --> 01:00:11,570
2847
+ ุทู„ุน
2848
+
2849
+ 713
2850
+ 01:00:11,570 --> 01:00:15,690
2851
+ ุงู„ุชุงุจู„ ุงู„ุชุงู†ูŠ ู‡ุฏูˆู„
2852
+
2853
+ 714
2854
+ 01:00:15,690 --> 01:00:22,210
2855
+ ุงู„ู„ูŠ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ abstract bit ู„ูˆ ุงุณุชุฎุฏู…ุช ููŠ
2856
+
2857
+ 715
2858
+ 01:00:22,210 --> 01:00:23,670
2859
+ design bit ุจูŠุญุงูˆู„ูˆุง ุนู„ู‰ ุทูˆู„ ุฅูŠู‡ุŸ
2860
+
2861
+ 716
2862
+ 01:00:27,290 --> 01:00:29,550
2863
+ ุจุชููƒุชุฑ logic vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2864
+
2865
+ 717
2866
+ 01:00:29,550 --> 01:00:30,550
2867
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2868
+
2869
+ 718
2870
+ 01:00:30,550 --> 01:00:32,130
2871
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2872
+
2873
+ 719
2874
+ 01:00:32,130 --> 01:00:35,130
2875
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2876
+
2877
+ 720
2878
+ 01:00:35,130 --> 01:00:35,170
2879
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2880
+
2881
+ 721
2882
+ 01:00:35,170 --> 01:00:35,530
2883
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2884
+
2885
+ 722
2886
+ 01:00:35,530 --> 01:00:35,890
2887
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2888
+
2889
+ 723
2890
+ 01:00:35,890 --> 01:00:36,030
2891
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2892
+
2893
+ 724
2894
+ 01:00:36,030 --> 01:00:36,250
2895
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2896
+
2897
+ 725
2898
+ 01:00:36,250 --> 01:00:36,290
2899
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2900
+
2901
+ 726
2902
+ 01:00:36,290 --> 01:00:37,310
2903
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2904
+
2905
+ 727
2906
+ 01:00:37,310 --> 01:00:39,210
2907
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2908
+
2909
+ 728
2910
+ 01:00:39,210 --> 01:00:42,390
2911
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2912
+
2913
+ 729
2914
+ 01:00:42,390 --> 01:00:47,430
2915
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2916
+
2917
+ 730
2918
+ 01:00:47,430 --> 01:00:49,530
2919
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2920
+
2921
+ 731
2922
+ 01:00:49,530 --> 01:00:52,450
2923
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2924
+
2925
+ 732
2926
+ 01:00:52,450 --> 01:00:52,690
2927
+ logical vector ุจูˆู„ูŠุงู† logical vector ุจูˆู„ูŠุงู†
2928
+
2929
+ 733
2930
+ 01:00:52,690 --> 01:00:55,810
2931
+ logical vectorู…ุนุฑูุฉ ุชูุงุฆุฒ ุนุดุฑ ุงู„ elements ุงู„
2932
+
2933
+ 734
2934
+ 01:00:55,810 --> 01:01:03,090
2935
+ vector ุงู„ู„ูŠ ู‡ูŠุชุทู„ุน ู‡ูŠ ูƒู… ุจุชุญูŠูƒูˆู‡ ู…ุธุจูˆุท ุงุฑุจุน ุงู„
2936
+
2937
+ 735
2938
+ 01:01:03,090 --> 01:01:05,030
2939
+ elements ุงู„ู„ูŠ ุงูˆู„ู‡ ู‡ูŠูƒูˆู† ุงุซู†ูŠู† ูˆ ุงุซู†ูŠู† ูˆ ุงุฑุจุน
2940
+
2941
+ 736
2942
+ 01:01:05,030 --> 01:01:10,570
2943
+ ุฃุณูุงุฑ ุงู„ู„ูŠ ุจุนุฏู‡ ุชู„ุช ุฃุณูุงุฑ ูˆุงุญุฏ and so on ุทุจุนุง ู…ุน
2944
+
2945
+ 737
2946
+ 01:01:10,570 --> 01:01:13,330
2947
+ ุชุจุงุญุงุช animation type ูŠุญุงูˆู„ูˆุง ูŠู„ุงู‚ูŠุด standard
2948
+
2949
+ 738
2950
+ 01:01:13,330 --> 01:01:19,330
2951
+ logic vector ุงู„ record elementุฑูƒูˆุฒ ุฃุณุฑุฏ ุฌุตุฏ ูŠุนู†ูŠ
2952
+
2953
+ 739
2954
+ 01:01:19,330 --> 01:01:23,010
2955
+ ุจุชุทู„ุน ูƒู„ element ุงูŠุด ู†ูˆุนู‡ ุฅุฐุง ู‡ูˆ non-abstract
2956
+
2957
+ 740
2958
+ 01:01:23,010 --> 01:01:27,490
2959
+ ุฎู„ู‘ูŠู‡ ุฅุฐุง abstract ุญูˆู„ู‡ ุฅูŠุด ุญุณุจ ุงู„ุชุญูˆูŠู„ ุชู…ุงู…ุŸ ุฃูˆูƒูŠ
2960
+
2961
+ 741
2962
+ 01:01:27,490 --> 01:01:38,550
2963
+ ู…ุงุดูŠ ูˆุจุงู„ุชุงู„ูŠ
2964
+
2965
+ 742
2966
+ 01:01:38,550 --> 01:01:43,110
2967
+ ุงู„ู„ูŠ ู‚ูˆู„ู†ุง ุงู„ post instance model ุงุชู„ุงู‚ูŠู‡ ู…ุณุชุฎุฏู…
2968
+
2969
+ 743
2970
+ 01:01:43,110 --> 01:01:45,210
2971
+ ุงู„ู„ูŠ ุธู‡ุฑ ููŠู‡ standard logic ูˆ standard vector ู…ุด
2972
+
2973
+ 744
2974
+ 01:01:45,210 --> 01:01:49,840
2975
+ ุดูƒูˆู‡ ู„ุฃุงู„ู„ูŠ ู‡ูˆ ู‡ุงุฏ ู‡ุณุชุฎุฏู… ู‡ุงู„ู€ get ููŠ ุงู„ู€ timing
2976
+
2977
+ 745
2978
+ 01:01:49,840 --> 01:01:55,880
2979
+ ุทุจุนุง
2980
+
2981
+ 746
2982
+ 01:01:55,880 --> 01:01:58,660
2983
+ ุฃูƒูŠุฏ ุงู†ุช ุจุดุฑูƒ ุงู† ุชุณุชุฎุฏู… ู†ูุณ ุงู„ test bench ุงู„ู„ูŠ
2984
+
2985
+ 747
2986
+ 01:01:58,660 --> 01:02:03,300
2987
+ ูƒุชุจุชู‡ ุงุญู†ุง ู„ู…ุง ู†ูƒุชุจ ุญุงุฌุชูŠู† ุจุณ ุตุญ ูˆู„ุง ู„ุฃ ูุงูƒุฑูŠู† ุงู„
2988
+
2989
+ 748
2990
+ 01:02:03,300 --> 01:02:06,640
2991
+ description ุฃูˆูŠุงู†ูŠ ูƒู…ุงู† ูˆ ูƒู…ุงู† ูŠุงุด ูˆ test bench ุงูˆ
2992
+
2993
+ 749
2994
+ 01:02:06,640 --> 01:02:12,470
2995
+ ุงุด ุงู„ุจุงู‚ูŠ ูƒู„ู‡ is automatically generated ุชู…ุงู…ุŸุฃูƒูŠุฏ
2996
+
2997
+ 750
2998
+ 01:02:12,470 --> 01:02:14,690
2999
+ ุงู†ุช ุจูŠุตูˆุฑูƒ ุงู† ุงู„ test bench ุงู„ู„ูŠ ู‡ุชุณุชุฎุฏู…ู‡ุง ููŠ ุงู„
3000
+
3001
+ 751
3002
+ 01:02:14,690 --> 01:02:17,710
3003
+ functional ู‡ูŠ ู†ูุณู‡ุง ุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„ post ู‡ูŠ ู†ูุณู‡ุง
3004
+
3005
+ 752
3006
+ 01:02:17,710 --> 01:02:21,670
3007
+ ุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„ timing ูˆ ูƒู„ ุงู„ู…ุฑุงุญู„ ุงู„ simulation
3008
+
3009
+ 753
3010
+ 01:02:21,670 --> 01:02:25,690
3011
+ ูˆู„ุง
3012
+
3013
+ 754
3014
+ 01:02:25,690 --> 01:02:29,670
3015
+ ุงู„ู„ูŠ ุจุนุฏ ุงู„ sentences ูˆ ุงู„ timing model ุจูŠุณุชุฎุฏู…
3016
+
3017
+ 755
3018
+ 01:02:29,670 --> 01:02:34,510
3019
+ strategic parts ู…ุด ู‡ูŠูƒ ูˆู‚ุงู„ุฉ ุฐู„ูƒ
3020
+
3021
+ 756
3022
+ 01:02:34,510 --> 01:02:38,430
3023
+ ุงู„ุฃูุถู„ ุงู†ู‡ ู…ู† ุงู„ุฃุณุงุณ ุงู†ู‡ ุชูƒูˆู† ุงู†ุช ู…ุนุฑู ุงู„ post
3024
+
3025
+ 757
3026
+ 01:02:38,430 --> 01:02:41,900
3027
+ strategic vectorุนุดุงู† ู„ู…ุง ุชูŠุฌูŠ ุชุนู…ู„ test bench
3028
+
3029
+ 758
3030
+ 01:02:41,900 --> 01:02:48,360
3031
+ ู‡ุงู„ุฌู‡ุฉ ู„ูˆ ุงู†ุช ู„ูˆ test bench ู„ูˆ ุงู†ุช ู…ุนุฑูู‡ู… ุนู„ูŠ ุงู†ู‡ู…
3032
+
3033
+ 759
3034
+ 01:02:48,360 --> 01:02:53,360
3035
+ integers ูˆ ุญุงุฌุงุช abstract ุนุดุงู† ุชุนู…ู„ functional
3036
+
3037
+ 760
3038
+ 01:02:53,360 --> 01:02:56,220
3039
+ simulation ุชุนู…ู„ test bench ุจูŠุณุชุฎุฏู… ุทุจุนุง ุงู„
3040
+
3041
+ 761
3042
+ 01:02:56,220 --> 01:02:59,560
3043
+ abstract ุจูŠู…ุดูŠ ุงู„ุญู„ู… ุงู„ูunctional ู„ูƒู† ู„ู…ุง ุชูŠุฌูŠ
3044
+
3045
+ 762
3046
+ 01:02:59,560 --> 01:03:04,230
3047
+ ุชุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ post synthesis simulationู‡ูŠุดุบู„ ุนู„ู‰ ุงู„
3048
+
3049
+ 763
3050
+ 01:03:04,230 --> 01:03:06,890
3051
+ post sentence model ุงู„ู„ูŠ ู…ุณุชุฎุฏู…ู‡ standard logic ู„ู…
3052
+
3053
+ 764
3054
+ 01:03:06,890 --> 01:03:10,730
3055
+ ูŠุนุฏ ู…ุณุชุฎุฏู… ุงู„ abstract ู…ุณุชุฎุฏู… ุงู„ abstract ู…ุด ู‡ูŠูƒ ูˆ
3056
+
3057
+ 765
3058
+ 01:03:10,730 --> 01:03:13,930
3059
+ ู„ุง ู…ุด ู‡ูŠู…ุดูŠ ู…ุน ู†ูุณู‡ test bench ุจุฏูƒ ุชูƒุชุจ test bench
3060
+
3061
+ 766
3062
+ 01:03:13,930 --> 01:03:17,110
3063
+ ุฅูŠู‡ ุงุดุฏ ุฌุฏูŠุฏ ูŠุณุชุฎุฏู… standard logic vector ู…ุด ู‡ูŠูƒ ูˆ
3064
+
3065
+ 767
3066
+ 01:03:17,110 --> 01:03:22,530
3067
+ ู„ุง ู‡ูˆ ุจุชู‚ู„ูŠ ู‡ุชูƒุชุจ ูƒุงู… bench ู†ูŠู† ุทุจ ูˆ ู‡ูƒุฐุง ุจุงู„ู†ุณุจุฉ
3068
+
3069
+ 768
3070
+ 01:03:22,530 --> 01:03:24,510
3071
+ ู„ู…ู† ุงู„ู„ูŠ ุฃุทู„ุน ุจูŠุญุงุณูŠู‡ ุนู†ุฏูƒ two ูˆ ุชู„ุงุชุฉ benches
3072
+
3073
+ 769
3074
+ 01:03:25,780 --> 01:03:28,920
3075
+ ุจูŠู†ู…ุง ู„ูˆ ู…ู† ุงู„ุฃุณุงุณ ุงู†ุช ูƒุชุจุช ูˆ ุงุณุชุฎุฏู…ุช ุงู‚ุชุตุงุฏูƒ ุนู„ู‰
3076
+
3077
+ 770
3078
+ 01:03:28,920 --> 01:03:31,720
3079
+ standard logic ูˆ standard vector you need just to
3080
+
3081
+ 771
3082
+ 01:03:31,720 --> 01:03:35,460
3083
+ write one suspension ุชุณุชุฎุฏู… ู…ุน ุชู„ุงุชุฉ simulation
3084
+
3085
+ 772
3086
+ 01:03:35,460 --> 01:03:40,500
3087
+ stages ู…ุด ู‡ูŠูƒ ูˆู„ุงูƒุŸ okay ูู‡ุฐุง ุงู„ุณุจุจ ุงู„ุฃูˆุฌู‡ ุงู†ู‡
3088
+
3089
+ 773
3090
+ 01:03:40,500 --> 01:03:42,760
3091
+ ุงูŠุดุŸ ุงู†ู‡ ู†ุณุชุฎุฏู… standard logic and standard vector
3092
+
3093
+ 774
3094
+ 01:04:08,370 --> 01:04:15,870
3095
+ ู…ุงุดูŠ ูƒู…ุงู† ููŠ ุณุจุจ ุจุฑุถู‡ ูƒูˆูŠุณ ูˆ ุงู…ุชุงุฒ ู‡ู†ุง ุนุดุงู† ูŠุฎู„ู‚
3096
+
3097
+ 775
3098
+ 01:04:15,870 --> 01:04:20,650
3099
+ ุงู„ code ุชุจุนูƒ portable ุฑุงุญ ุชู„ุงู‚ูŠ ู†ุงุณ ุงู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ
3100
+
3101
+ 776
3102
+ 01:04:20,650 --> 01:04:24,890
3103
+ ุจูŠุณุชุฎุฏู…ูˆู‡ ู„ู„ units ู„ู„ entities ุงู„ N ูˆ ุงู„ outer
3104
+
3105
+ 777
3106
+ 01:04:24,890 --> 01:04:30,070
3107
+ cone ูˆ ุงู„ standard vectorูู„ูˆ ุงู†ุช ู‡ุชุณุชุฎุฏู… ููŠ ุงู„
3108
+
3109
+ 778
3110
+ 01:04:30,070 --> 01:04:35,670
3111
+ code ุชุจุนูƒ unit ู†ุงุณ ุชุงู†ูŠุฉ ุนุงู…ู„ูŠู†ู‡ุง ูˆ ุงู„ input ุชุจุนุชูƒ
3112
+
3113
+ 779
3114
+ 01:04:35,670 --> 01:04:38,090
3115
+ ุชุจุนุช ุงู„ unit ุงู„ู„ูŠ ุชุนู…ู„ู‡ุง ู‡ุชุงุฎุฏ ุงู„ out ุชุจุน ุงู„ unit
3116
+
3117
+ 780
3118
+ 01:04:38,090 --> 01:04:41,210
3119
+ ุชุจุนุชู‡ ู†ุงุณ ุชุงู†ูŠุฉ ูˆ ุฏูŠูƒ ุจุชุทู„ุน ุงู„ standard logic
3120
+
3121
+ 781
3122
+ 01:04:41,210 --> 01:04:44,450
3123
+ vector ูˆ ุงู†ุช ุงู„ input ุชุจุนูƒ is not standard logic
3124
+
3125
+ 782
3126
+ 01:04:44,450 --> 01:04:45,990
3127
+ vector something else
3128
+
3129
+ 783
3130
+ 01:04:50,730 --> 01:04:54,810
3131
+ ุนุดุงู† ูŠูƒูˆู† ุงู†ูƒ ุชุณุชุฎุฏู… ุงู„ุดุบู„ ุชุจุน ุงู„ุชู†ู‚ู„ ูˆุงู„ุดุบู„ ุชุจุนูƒ
3132
+
3133
+ 784
3134
+ 01:04:54,810 --> 01:04:59,890
3135
+ ูŠุณุชุฎุฏู…ู‡ ุงู„ุขุฎุฑูŠู† ุงู‚ุชุตุฑ ุนู„ู‰ standard logic ุนู†ุฏ
3136
+
3137
+ 785
3138
+ 01:04:59,890 --> 01:05:01,830
3139
+ standard logic vector
3140
+
3141
+ 786
3142
+ 01:05:10,240 --> 01:05:13,460
3143
+ ูˆ ุงู„ุชุงู„ูŠ ุงู„ abstract ูŠุนู†ูŠ .. ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุฅุฐุง
3144
+
3145
+ 787
3146
+ 01:05:13,460 --> 01:05:17,320
3147
+ ุงู‚ุฏุฑุช ู…ุง ุชุณุชุฎุฏู…ู‡ุงุด ุจุงู„ู…ุฑุฉ ุจูŠูƒูˆู† ุฃูุถู„ ู„ูƒู† ู…ู…ูƒู† ุฌูˆุงู„
3148
+
3149
+ 788
3150
+ 01:05:17,320 --> 01:05:20,660
3151
+ ุฅุฐุง ุฅุดูŠ local local ุฌูˆู‡ ุฌูˆู‡ ูŠุนู†ูŠ signals ูˆ
3152
+
3153
+ 789
3154
+ 01:05:20,660 --> 01:05:26,180
3155
+ variable ูˆุดุบู„ุงุช ุจุชู‚ุฏุฑ ุชุณุชุฎุฏู… ุงู„ abstract ู…ุด ู…ุดูƒู„ุฉ
3156
+
3157
+ 790
3158
+ 01:05:26,180 --> 01:05:35,700
3159
+ ุทูŠุจ
3160
+
3161
+ 791
3162
+ 01:05:44,140 --> 01:05:52,380
3163
+ ุจุงู„ู†ุณุจุฉ ู„ู„ parts ุจุงู„ู†ุณุจุฉ ู„ู„ parts ุงู„ index ุฅุฐุง ุงู„
3164
+
3165
+ 792
3166
+ 01:05:52,380 --> 01:05:57,380
3167
+ part vector ุงู„ index ู…ู…ูƒู† ูŠูƒูˆู† ascending ู…ู…ูƒู†
3168
+
3169
+ 793
3170
+ 01:05:57,380 --> 01:06:03,420
3171
+ descending ุฅุฐุง to ascending ุฅุฐุง down to descending
3172
+
3173
+ 794
3174
+ 01:06:03,420 --> 01:06:08,830
3175
+ ุงู„ุฃูุถู„ ุฃู†ูƒ ุชุฎู„ูŠู‡ ash down to descendingู„ุฃู†ู‡ ุงุญู†ุง
3176
+
3177
+ 795
3178
+ 01:06:08,830 --> 01:06:11,890
3179
+ ูƒู„ ุงู„ design ุณุจุนุชู†ุง ููŠ ุงู„ architecture ูˆ ุงู„ design
3180
+
3181
+ 796
3182
+ 01:06:11,890 --> 01:06:15,030
3183
+ ุงุฐุง ูุงูƒุฑูŠู† ูˆ ูƒู„ ุงู„ everything ุจู†ุนุชุจุฑ ุงู„ู„ูŠ ู‡ูŠ left
3184
+
3185
+ 797
3186
+ 01:06:15,030 --> 01:06:20,590
3187
+ ุงู„ right ู…ุตุจุช ูˆ ู„ุง ูŠูˆุฌุฏ ุฑู‚ู…ู‡ ุฒูŠุฑูˆ ูˆ left ู…ุตุจูˆุช ูˆ
3188
+
3189
+ 798
3190
+ 01:06:20,590 --> 01:06:22,810
3191
+ ุจุนุฏูŠู† ุงู„ index is increasing ูƒู„ ู…ุง ุชุชุญุฑูƒ ู†ุงุญูŠุฉ
3192
+
3193
+ 799
3194
+ 01:06:22,810 --> 01:06:34,610
3195
+ ุงูŠู‡ุงุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดู…ุงู„ ุชู…ุงู…ุŸ ู„ุฃู†ู‡ ุงู†ุช ู„ูˆ
3196
+
3197
+ 800
3198
+ 01:06:34,610 --> 01:06:36,710
3199
+ ุงู†ุช ู…ุด ุชุฎุฏู… ููŠ ุงู„ code ascending
3200
+
3201
+ 801
3202
+ 01:06:39,900 --> 01:06:44,900
3203
+ ูŠุฑูˆุญ ุงู„ tool place and route ุจูŠุฌู„ุจูƒ ุงู„ู‰ ุงูŠุด ุงู„ู‰
3204
+
3205
+ 802
3206
+ 01:06:44,900 --> 01:06:50,340
3207
+ descending down to ููŠ ุงู„ code ุงู„ู„ูŠ ุจูŠุทู„ุน ุชู…ุงู…ุŸ ูˆ
3208
+
3209
+ 803
3210
+ 01:06:50,340 --> 01:06:54,600
3211
+ ุงุชุงุนูŠ ู„ูˆ ุฌูŠุช ุชุนู…ู„ simulation ุงู„ test bench ุจุชุงุนูƒ
3212
+
3213
+ 804
3214
+ 01:06:54,600 --> 01:07:00,960
3215
+ ุชุจู†ูŠู‡ุง ุนู„ู‰ ุงู†ู‡ ุงูŠุด ุงู†ู‡ .. ุงู†ู‡ .. ุงู†ู‡ ascending ูˆ
3216
+
3217
+ 805
3218
+ 01:07:00,960 --> 01:07:04,020
3219
+ ุงู„ code ุทู„ุน ู…ู† ุงู„ .. ู…ู† ุงู„ .. ู…ู† ุงู„ thesis ูˆ ู…ู† ุงู„
3220
+
3221
+ 806
3222
+ 01:07:04,020 --> 01:07:07,960
3223
+ timing model ascending ุงุฎุชู„ู ุงู„ industry ู‡ูŠุฏูŠู„ูƒ ุงูŠ
3224
+
3225
+ 807
3226
+ 01:07:07,960 --> 01:07:11,400
3227
+ ู„ุฎุจูŠุท ู…ุดุงูƒู„ ูˆู„ุงุทุจุนุง ูุงู†ุช ู…ู† ุฃุณุงุณูŠ ุชุฎู„ูŠู‡ ูŠุทูŠุญ ุฑุฃุณู‡
3228
+
3229
+ 808
3230
+ 01:07:11,400 --> 01:07:15,960
3231
+ ูˆ ุชุทูŠุญ ุฑุฃุณู‡ ูˆ ุชุฎู„ูŠู‡ ูŠุนูŠุด descending ุญุชู‰ ู…ุงุดูŠ ู…ุน
3232
+
3233
+ 809
3234
+ 01:07:15,960 --> 01:07:18,060
3235
+ ุงู„ุฎู„ููŠุฉ ุชุจุนุงุชูƒูˆุง ุงู†ู‡ ุฏุงูŠู…ุง ุงุญู†ุง ุฏุงูŠู…ุง ุจุช ู†ุงุญูŠุฉ
3236
+
3237
+ 810
3238
+ 01:07:18,060 --> 01:07:21,380
3239
+ ุงู„ูŠู…ูŠู† ู‡ูˆ ูŠุนูŠุด ุงู„ zero ูˆ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ู‡ูˆ ุงู„ู„ูŠ
3240
+
3241
+ 811
3242
+ 01:07:21,380 --> 01:07:24,660
3243
+ ุจูŠุนู„ู‰ ู…ุด ุดุงูŠูู‡ ุงูˆ ู„ุง ูุชุฎู„ูŠู‡ ูŠุนูŠุด down to
3244
+
3245
+ 812
3246
+ 01:07:24,660 --> 01:07:31,980
3247
+ descending ูˆ ุฑุงูŠุญ ุฑุฃุณู‡ ู…ุด ุดุงูŠูู‡ ุงูˆ ู„ุง ููŠ ุทุจุนุง ุจุงู„
3248
+
3249
+ 813
3250
+ 01:07:31,980 --> 01:07:33,000
3251
+ VHDL
3252
+
3253
+ 814
3254
+ 01:07:36,950 --> 01:07:43,610
3255
+ ููŠู‡ ุทุจุนุง ููŠู‡ operators ู…ุนุฑููŠู† ุฅู„ุง ู…ุดุงูƒู„ ูˆู„ุง ุงุชุทู„ุน
3256
+
3257
+ 815
3258
+ 01:07:43,610 --> 01:07:46,710
3259
+ ุนู„ู‰ ุงู„ table ุนู„ู‰ ุงู„ figure ุงู„ุชุงู„ูŠ ู‡ุฏูˆู„ operators
3260
+
3261
+ 816
3262
+ 01:07:46,710 --> 01:07:51,530
3263
+ ู…ุนุฑููŠู† ุจุงู„ BGTL ุงู„ุณุทุฑ ุงู„ู„ูŠ ููˆู‚ ุจุฏูŠ ุจุงู„ .. ุจุงู„
3264
+
3265
+ 817
3266
+ 01:07:51,530 --> 01:07:57,710
3267
+ business ุงู„ุนุงู„ูŠ ุงู„ู„ูŠ ุฅู„ู‡ ุฃุนู„ู‰ ุฃูˆู„ูˆูŠ ุจู…ุนู†ู‰ ู„ูˆ ุงู„ ..
3268
+
3269
+ 818
3270
+ 01:07:57,710 --> 01:08:01,940
3271
+ ุงู„ .. ู„ูˆ ููŠู‡ expressionุธุงู‡ุฑ ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ note ุงูˆ
3272
+
3273
+ 819
3274
+ 01:08:01,940 --> 01:08:05,480
3275
+ ุงู„ salute ุงูˆ ุงู„ ุฃุณ ู‡ุฐูŠ ูˆุธุงู‡ุฑ ููŠ ู†ูุณ ุงู„ expression
3276
+
3277
+ 820
3278
+ 01:08:05,480 --> 01:08:08,840
3279
+ ู…ู† ุบูŠุฑ ุฃู‚ูˆุงุต ุงูŠ ู…ู† ุงู„ู„ูŠ ุชุญุชู‡ ุจูŠุจุฏุฃ main ููŠ ุชุฑููŠุฐ
3280
+
3281
+ 821
3282
+ 01:08:08,840 --> 01:08:10,620
3283
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ุฐุง ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู„ูƒู„ุงู… ุงูˆ ู„ุง ู…ุด
3284
+
3285
+ 822
3286
+ 01:08:10,620 --> 01:08:12,440
3287
+ ุนุงุฑููŠู†ู‡ ุงูˆ ู„ุง ุงูŠู‡ ู†ุนู… ูุฏูˆู„ ุงู„ู„ูŠ ู‡ู… ุงู„ highest
3288
+
3289
+ 823
3290
+ 01:08:12,440 --> 01:08:15,140
3291
+ priority ุงู„ highest presence ูŠุนู†ูŠ ุงู†ู‡ู… ุงุนู„ู‰ ุงูˆ
3292
+
3293
+ 824
3294
+ 01:08:15,140 --> 01:08:19,680
3295
+ ู„ูˆูŠู‡ ุจุนุฏูŠู† ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ multiplication operators
3296
+
3297
+ 825
3298
+ 01:08:19,680 --> 01:08:26,660
3299
+ ุงู„ multiply, divide, ุงู„ู…ุฏ ุงู„ุฑู… ุชู…ุงู… ุงู„ science ู‡ุฐูŠ
3300
+
3301
+ 826
3302
+ 01:08:26,660 --> 01:08:30,750
3303
+ unary operators ู…ุด ุนุงุฑููŠู†ู‡ ุงูˆ ู„ุง ุงู†ุง ูˆู„ุง ู‡ุฐูŠูˆ
3304
+
3305
+ 827
3306
+ 01:08:30,750 --> 01:08:35,770
3307
+ ุจุนุฏูŠู† ุงู„ addition ๏ฟฝ๏ฟฝู‰ ุงู„ุฌุงู…ุนู‡ ูˆ ุงู„ุทุฑุญ ูˆ ุงู„ .. ุชู…ุงู…ุŸ
3308
+
3309
+ 828
3310
+ 01:08:35,770 --> 01:08:40,890
3311
+ ู‡ุฏ ูƒูˆูƒุงุช ู†ูŠุดู† ุชู…ุงู…ุŸ ู‡ุฏ ูƒูˆูƒุงุช ู†ูŠุดู† ูˆ ุจุนุฏูŠู† ู‡ุฏ shift
3312
+
3313
+ 829
3314
+ 01:08:40,890 --> 01:08:44,470
3315
+ operators ูˆ ุจุนุฏูŠู† ุงู„ relation operators ูˆ ุจุนุฏูŠู† ุงู„
3316
+
3317
+ 830
3318
+ 01:08:44,470 --> 01:08:47,910
3319
+ .. ุงูˆ ุทุนู…ู‡ ููŠ ุงู„ business ุงู„ู„ู‰ ู‡ูˆ ู…ูŠู† ุงู„ู„ู‰ ู‡ูˆ ุงู„
3320
+
3321
+ 831
3322
+ 01:08:47,910 --> 01:08:53,670
3323
+ logic operators ุงู„ logic ุงูŠุด operatorsุŸู„ูƒู† ู„ูˆ ููŠ
3324
+
3325
+ 832
3326
+ 01:08:53,670 --> 01:08:56,050
3327
+ ููŠ ุงู„ expression ู…ุซู„ุง two letters ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ ุงู„
3328
+
3329
+ 833
3330
+ 01:08:56,050 --> 01:08:58,770
3331
+ and ูˆ ุงู„ or ู†ูุณ ุงู„ expression ูˆ ู…ู† ุบูŠุฑ ุฃู‚ูˆู‰ ุณุงุนุฉ
3332
+
3333
+ 834
3334
+ 01:08:58,770 --> 01:09:02,090
3335
+ ุจูŠุจุฏุฃ ู…ู† ุงู„ุดู…ุงู„ ู„ูŠุด ู„ุฏู‰ ู…ูŠู† ู‡ุฏู‰ ุฒูŠ ู„ุบุฉ ุงู„ุฃุฎุฑู‰ it
3336
+
3337
+ 835
3338
+ 01:09:02,090 --> 01:09:08,830
3339
+ is known ู„ูƒู†
3340
+
3341
+ 836
3342
+ 01:09:08,830 --> 01:09:12,530
3343
+ ู…ุฑุฉ ุงู„ูˆุงุญุฏ ุจูŠู†ุณู‰ ูˆ ู…ู† ุงู„ู„ูŠ ู„ู‡ ุฃุนู„ู‰ ูˆ ูƒุฏู‡ ุนุดุงู† ุชู„ุฎุต
3344
+
3345
+ 837
3346
+ 01:09:12,530 --> 01:09:17,790
3347
+ ุงุฐุง ู†ุณูŠุช ุนุดุงู† ุชุญู„ ุชู‚ุทุน ุงู„ุดุงูƒ ุจุงู„ูŠู‚ูŠู† ุจุชุญุท ุฃู‚ูˆุงุณ ูˆ
3348
+
3349
+ 838
3350
+ 01:09:17,790 --> 01:09:22,300
3351
+ ุชุฑูŠุญ ุฑุงุณูƒ ูˆุดูŠูƒ ุชุญุท ุงู„ู„ูŠ ู‡ูˆ ุฃู‚ูˆุงุณู‡ุคู„ุงุก ูƒู„ู‡ู… ุนุงุฑููŠู†
3352
+
3353
+ 839
3354
+ 01:09:22,300 --> 01:09:31,420
3355
+ ุจุฃูŠ package ุจุงู„ standard ุจุณ
3356
+
3357
+ 840
3358
+ 01:09:31,420 --> 01:09:34,500
3359
+ ุชุฎู„ูŠ ุจุงู„ูƒ ุงู„ operators ู‡ุฏูˆู„ ู…ุด ูƒู„ู‡ู… ุจูŠุณุชุฎุฏู… ู„ูƒู„ ุงู„
3360
+
3361
+ 841
3362
+ 01:09:34,500 --> 01:09:37,060
3363
+ data types ุงูƒูŠุฏ ุทุจุนุง ู‡ู‚ูˆู„ ุงู† ุงู†ุง ุจู‚ูˆู„ data type
3364
+
3365
+ 842
3366
+ 01:09:37,060 --> 01:09:42,340
3367
+ ู…ุนูŠู† ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุญุฏุงุช ุงู„ู‚ูŠู… ุชุจุนูˆู†ู‡ ูˆ ุญุฏุงุช ุงู„ุนู…ู„ูŠุงุช
3368
+
3369
+ 843
3370
+ 01:09:42,340 --> 01:09:44,580
3371
+ ุงู„ู„ูŠ ุชุดุชุบู„ ุนู„ูŠ ุงู„ objects ุชุจุนูˆู†ู‡ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุงูŠ ู†ุนู…
3372
+
3373
+ 844
3374
+ 01:09:44,580 --> 01:09:49,700
3375
+ ูู…ุด ูƒู„ ุงู„ operators ู‡ุฏูˆู„ ุจุชุดุชุบู„ ุนู„ู‰ ูƒู„ู‡ุฐุง ู…ุนุฑูˆู ูƒู„
3376
+
3377
+ 845
3378
+ 01:09:49,700 --> 01:09:57,900
3379
+ operator ุงูŠู„ู‡ ุฏู‡ ุชุนุฑูุด ู…ุนูŠู†ูŠู† ุจูŠุดุชุบู„ ุนู„ูŠู‡ู…
3380
+
3381
+ 846
3382
+ 01:09:57,900 --> 01:10:12,040
3383
+ ููŠ
3384
+
3385
+ 847
3386
+ 01:10:12,040 --> 01:10:13,080
3387
+ ุงู„ static suppression
3388
+
3389
+ 848
3390
+ 01:10:15,880 --> 01:10:19,160
3391
+ ูˆ ููŠ ุงู„ .. ุงู„ locally .. ูˆ ููŠ ุงู„ globally static
3392
+
3393
+ 849
3394
+ 01:10:19,160 --> 01:10:21,360
3395
+ expression ุงู„ locally static expression ุนุจุงุฑุฉ ุนู†
3396
+
3397
+ 850
3398
+ 01:10:21,360 --> 01:10:25,620
3399
+ expression ูŠุนู†ูŠ ุจูŠูƒูˆู† ู…ุนุฑู ููŠ some entity ูˆ ุงู„
3400
+
3401
+ 851
3402
+ 01:10:25,620 --> 01:10:31,440
3403
+ value ุชุจุนุชู‡ ุชุชุนู…ู„ ุนู„ู‰ declarations which are local
3404
+
3405
+ 852
3406
+ 01:10:31,440 --> 01:10:36,760
3407
+ ุณูˆุงุก ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ unity ุงู„ู„ูŠ ุงู†ุช ู…ุนุฑูู‡ ููŠู‡ุง ุชู…ุงู…ุŸ
3408
+
3409
+ 853
3410
+ 01:10:37,110 --> 01:10:40,050
3411
+ ุฃูˆ ููŠ ุงู„ packages ุงู„ู„ูŠ ู…ุด ุญุงุทุทู‡ุง ููŠ ุฃูˆู„ ุงู„ .. ุงู„ู„ูŠ
3412
+
3413
+ 854
3414
+ 01:10:40,050 --> 01:10:45,910
3415
+ ู‡ูˆ ุงู„ .. ุงู„ู„ูŠ .. ุงู„ู„ูŠ ุนู…ู„ู‡ุง use ููŠ ุจุฏุงูŠุฉ ุงู„ .. ุงู„
3416
+
3417
+ 855
3418
+ 01:10:45,910 --> 01:10:51,230
3419
+ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ unit ูˆ ุจุชุญุฏุฏ ู‚ูŠู…ุชู‡ at compilation ..
3420
+
3421
+ 856
3422
+ 01:10:51,230 --> 01:10:56,330
3423
+ at compilation time ู„ูƒู† ุจูŠูƒูˆู† ููŠู‡ ุจุฑุถู‡ global set
3424
+
3425
+ 857
3426
+ 01:10:56,330 --> 01:10:58,850
3427
+ exception ู‡ุฐุง ู‚ูŠู…ุชู‡ ุจุชุชุญุฏุฏ
3428
+
3429
+ 858
3430
+ 01:11:05,850 --> 01:11:11,590
3431
+ ุจูŠูƒูˆู† ููŠู‡ hierarchyุŒ ุจูŠูƒูˆู† ููŠู‡ ุนู†ุฏูƒ hierarchy ุจุนุฏ
3432
+
3433
+ 859
3434
+ 01:11:11,590 --> 01:11:16,450
3435
+ ู…ุง ูŠุนู…ู„ elaboration ู„ู„ .. ูŠุนู†ูŠ ุงุณู… ุงู„ elaboration
3436
+
3437
+ 860
3438
+ 01:11:16,450 --> 01:11:24,030
3439
+ ูŠุนู†ูŠ ุจูŠูƒูˆู† ุนู†ุฏูƒ top design unit ุงู„ูƒุจูŠุฑุฉ ูˆู…ูƒูˆู†ุฉ ู…ู†
3440
+
3441
+ 861
3442
+ 01:11:24,030 --> 01:11:29,140
3443
+ ูƒุฐุง componentูˆูƒู„ component ูƒู…ุงู† ู…ู…ูƒู† ุชูƒูˆู† ูƒุฐุง ูŠูุถ
3444
+
3445
+ 862
3446
+ 01:11:29,140 --> 01:11:31,340
3447
+ ูŠูุถ ูŠูุถ ูŠุนูˆุถ ูŠุนูˆุถ ูŠุนูˆุถ ู„ุบุงูŠุฉ ุจูŠูˆุตู„ ููŠ ุงู„ุงุฎุฑ ู„ู„ูŠู‡ุงุด
3448
+
3449
+ 863
3450
+ 01:11:31,340 --> 01:11:33,980
3451
+ ุงู„ู„ูŠ ู‡ูŠ plain ุนุงุฏูŠ ู…ุงุดูŠ ู…ู† ุบูŠุฑ components ู…ู† ุบูŠุฑ
3452
+
3453
+ 864
3454
+ 01:11:33,980 --> 01:11:36,600
3455
+ ุงู„ component ุฅุฐุง ูˆุตู„ ู„ุณุฌู„ ุงู„ุฃุฎูŠุฑุฉ ุฎู„ุงุต ู…ุด ู…ุญุชุงุฌ
3456
+
3457
+ 865
3458
+ 01:11:36,600 --> 01:11:39,700
3459
+ ูŠุนู…ู„ ุฃูŠ ุชุนูˆูŠุถ later ุฃูƒุชุฑ ู…ู† ูƒุฏู‡ ุจูŠุณู…ูŠ ุนู…ู„ ู„ูŠู‡ุงุด
3460
+
3461
+ 866
3462
+ 01:11:39,700 --> 01:11:42,980
3463
+ complete elaboration ูุงุฏู‡ู… ุนู„ุงุฌ ุชู…ุงู… ูุงุฏู‡ู… ุนู„ุงุฌ
3464
+
3465
+ 867
3466
+ 01:11:42,980 --> 01:11:50,420
3467
+ ุชู…ุงู… okayู‡ูŠุณู…ูˆู‡ Global Static Expiration ุฅุฐุง ูƒุงู†
3468
+
3469
+ 868
3470
+ 01:11:50,420 --> 01:11:54,580
3471
+ ู…ุญุชุงุฌ ูŠูุฑุฏ ุณุงุนุชู‡ุง ุจู†ู‚ูˆู„ ุนู†ู‡ Global Static
3472
+
3473
+ 869
3474
+ 01:11:54,580 --> 01:11:57,440
3475
+ Expiration ุทุจุนุง ู„ุงุฒู… ูŠูƒูˆู† ุนุงู…ู„ evaluation ุฌุงุจ ุงู„ุงุด
3476
+
3477
+ 870
3478
+ 01:11:57,440 --> 01:12:00,380
3479
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู…ุง ูŠูˆุตู„ ู„ู„ simulation ู…ุด ู‡ูŠูƒูˆุง ูŠุนู†ูŠ
3480
+
3481
+ 871
3482
+ 01:12:00,380 --> 01:12:12,020
3483
+ ุนุดุงู† ู†ุญุฏุฏ ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ expression ุงู„ู…ุฏ
3484
+
3485
+ 872
3486
+ 01:12:12,020 --> 01:12:16,460
3487
+ ูˆุตู„ู†ุง ู„ู„ุณุคุงู„ ุชุจุนูƒ ุดูˆู ุชุนุฑูŠู ุงู„ู…ุฏ
3488
+
3489
+ 873
3490
+ 01:12:19,880 --> 01:12:22,240
3491
+ ุงู„ู€ mod ุทุจุนุงู‹ ุงู„ู€ a ูˆ ุงู„ b ูŠุฌุจ ุฃู† ูŠูƒูˆู†ูˆุง integers
3492
+
3493
+ 874
3494
+ 01:12:22,240 --> 01:12:28,600
3495
+ ุงู„ู€ mod ู‡ุฐู‡ ุงู„ equation ุงู„ู„ูŠ ุจุชุญุฏุฏูƒ ุงู„ mod value
3496
+
3497
+ 875
3498
+ 01:12:28,600 --> 01:12:34,180
3499
+ ุงู„ู„ูŠ ุจุชุทู„ุน ูŠุนู†ูŠ ุนู†ุฏูƒ ุจูŠูƒูˆู† ุงู„ a ุฃูˆ ุงู„ b ูŠุนู†ูŠ ุงู†ุช
3500
+
3501
+ 876
3502
+ 01:12:34,180 --> 01:12:39,920
3503
+ ุงู„ a mod b ุจูŠุณูˆุก ุงู„ a minus ุงู„ b ููŠ ุงู„ n ูŠุนู†ูŠ ุงู†ุช
3504
+
3505
+ 877
3506
+ 01:12:39,920 --> 01:12:44,760
3507
+ ูƒุฏู‡ ุจุชุญุณุจ ุงู„ a mod b ุงูŠุด ู‚ูŠู…ุฉ ุงู„ n ุงู„ู„ูŠ ุจุชุฎู„ูŠู„ูƒ ุงู„
3508
+
3509
+ 878
3510
+ 01:12:44,760 --> 01:12:48,260
3511
+ relation ู‡ุฐู‡ correct ุจุดุฑุท
3512
+
3513
+ 879
3514
+ 01:12:52,260 --> 01:12:57,080
3515
+ ุงู† ุงู„ a mod b ู„ุงุฒู… ูŠูƒูˆู† ู†ูุณ ุงุดุงุฑุฉ ู…ูŠู† ุงู„ b ูˆ ุงู„
3516
+
3517
+ 880
3518
+ 01:12:57,080 --> 01:13:02,560
3519
+ absolute value ุชุจุนุช ุงู„ a mod b ุชูƒูˆู† ุงู‚ู„ ู…ู† ู…ูŠู† ุงู‚ู„
3520
+
3521
+ 881
3522
+ 01:13:02,560 --> 01:13:07,400
3523
+ ู…ู† ุงู„ b ุชู…ุงู… ุจุฌุฏ ุง try it ุงุชูƒูˆู† ุนุดุงู† ุงู„ู…ูˆุถูˆุน ู…ุด
3524
+
3525
+ 882
3526
+ 01:13:07,400 --> 01:13:12,740
3527
+ ููŠู‡ุง ูˆุฌุฏ ุชู…ุงู… okay ูŠุนู†ูŠ ู‡ูˆู† ุงู„ a is given ูˆ ุงู„ b
3528
+
3529
+ 883
3530
+ 01:13:12,740 --> 01:13:18,220
3531
+ ุฒูŠุงุด is given ูˆ ุงู„ุนู†ูˆู† ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู…ูŠู† ุงู„ n ุงูŠุด
3532
+
3533
+ 884
3534
+ 01:13:18,220 --> 01:13:24,110
3535
+ ู‚ูŠู…ุฉ ุงู„ nุงู„ุฅูŠู„ุงูˆุงุช ููŠู‡ุง ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐุง ุจูŠุฎู„ู‘ูŠ ุงู„
3536
+
3537
+ 885
3538
+ 01:13:24,110 --> 01:13:27,250
3539
+ right hand side ู‡ุฐุง ุจูŠุณูˆูŠ ุงูŠุด ู‚ูŠู…ุฉ ุงู„ a ุจุณ ุจุดุฑุท ููŠ
3540
+
3541
+ 886
3542
+ 01:13:27,250 --> 01:13:30,410
3543
+ constraint ูŠูƒูˆู† ุงู„ุฅุดุงุฑุฉ ุจุชุงุนุฉ a mod b ู†ูุณ ุฅุดุงุฑุฉ
3544
+
3545
+ 887
3546
+ 01:13:30,410 --> 01:13:33,550
3547
+ ู…ูŠู† ุงู„ b ูˆ ุงู„ absolute value ุชุจุน ุงู„ู…ุฏ ุงู„ู„ูŠ ุจูŠุทู„ุน
3548
+
3549
+ 888
3550
+ 01:13:33,550 --> 01:13:38,210
3551
+ ูŠูƒูˆู† ุฃู‚ู„ ู…ู† ู…ูŠู† ู‡ูŠ ุชุนุฑูŠู ุงู„ู…ุฏ ุงู„ุฃุตู„ูŠ ููŠ ูƒุชุจ ุงู„
3552
+
3553
+ 889
3554
+ 01:13:38,210 --> 01:13:43,890
3555
+ mathematics ู„ูˆ ุฑุฌุนุช ู„ูƒุชุจ ุงู„ุฑูŠุงุถูŠุฉ ุชู…ุงู… okay ู„ูƒู† ุงู„
3556
+
3557
+ 890
3558
+ 01:13:43,890 --> 01:13:49,770
3559
+ rim ุงู„ rim ุดูˆู ุชุนุฑูŠู ุงู„ rim ุงู„ rim ุงู„ู„ูŠ ู‡ูŠ
3560
+
3561
+ 891
3562
+ 01:13:54,650 --> 01:13:59,610
3563
+ ุงู„ุฑู… ุงู„ู‚ูŠู…ุฉ ุงู„ู„ู‰ ุงุนูˆุงุถ ููŠู‡ุง ู‡ู†ุง ุงู„ A ุฑู… B ุงู„ู„ู‰
3564
+
3565
+ 892
3566
+ 01:13:59,610 --> 01:14:03,370
3567
+ ุจุชุฎูŠู„ูƒ ุงู„ู…ุนุงุฏู„ุฉ ุฏู‰ ุนู„ู‰ ุจุนุถ ุงุฒุงูŠ ุงุดุช is valid ุชู…ุงู…
3568
+
3569
+ 893
3570
+ 01:14:03,370 --> 01:14:09,570
3571
+ ูŠุนู†ูŠ ู„ูˆ ุจุชุดูˆู ุงู„ A ุนู„ู‰ B ุฌุฏุงุด ุชุฌุณู…ู‡ู… ุชู…ุงู… ุฎุงุฑุฌ
3572
+
3573
+ 894
3574
+ 01:14:09,570 --> 01:14:12,710
3575
+ ุงู„ู‚ุณู…ุฉ ู…ุถุฑูˆุจ ุงู„ู„ู‰ ุจูŠุทู„ุน term of remainder ู…ุด ู‡ูŠูƒูˆู‡
3576
+
3577
+ 895
3578
+ 01:14:12,710 --> 01:14:18,610
3579
+ ู„ุฃ ู…ุถุฑูˆุจู‡ุง ู†ู‚ุงุด ุงู„ู„ู‰ ู‡ู‰ ููŠ ุงู„ B ุชู…ุงู…ุจุชู„ุงู‚ูŠ ู„ุณู‡ ู…ุง
3580
+
3581
+ 896
3582
+ 01:14:18,610 --> 01:14:22,690
3583
+ ุทู„ุนุด ุงู„ a ุงูŠุด ุงู„ุฑู‚ู… ุงู„ู„ูŠ ู‡ูŠู†ุฌู…ุน ุนุดุงู† ูŠุทู„ุน ู„ูƒ ุงูŠุงุด
3584
+
3585
+ 897
3586
+ 01:14:22,690 --> 01:14:27,630
3587
+ ุงู„ a ุจุณ ุจุดุฑุท ูŠูƒูˆู† ุงู„ุฑู‚ู… ู‡ุฐูŠ ู‡ู†ุฌู…ุน ุงู„ู„ูŠ ู‡ูˆ RMB ุงู„ู„ูŠ
3588
+
3589
+ 898
3590
+ 01:14:27,630 --> 01:14:31,270
3591
+ ู‡ูˆ ู†ูุณ ุงู„ sign ุชุจุนุช ู…ูŠู† ุงู„ a ูˆ ู„ูˆ ุดุฑูˆุท B ูˆ ุชุจุนุชู‡
3592
+
3593
+ 899
3594
+ 01:14:31,270 --> 01:14:36,110
3595
+ ุฃู‚ู„ ู„ูˆ ุดุฑูˆุท ุชุจุนุช ู…ูŠู† ุชุจุนุช ู‡ุฐุง ุงู„ุฑู…ุจ okay ู‡ู„ู‚ูŠุช
3596
+
3597
+ 900
3598
+ 01:14:36,110 --> 01:14:39,730
3599
+ ุจูŠู‚ูˆู„ูƒ ู‡ู†ุง ู‚ุนุฏ ู†ูˆุตู„ ู„ู‡ุง ุจูŠู‚ูˆู„ูƒ ุงุฐุง ุงู„ signs ุชุจุนุช
3600
+
3601
+ 901
3602
+ 01:14:39,730 --> 01:14:45,550
3603
+ ุงู„ a ูˆ ุงู„ bare the same ุจูŠุทู„ุน ุงู„ a mod b ู‡ูˆ ู†ูุณู‡
3604
+
3605
+ 902
3606
+ 01:14:45,550 --> 01:14:49,390
3607
+ ุฅูŠุงุด ุงู„ a ุงู„ุฑู… ุจูŠู‡ ูˆู‡ุฐุง ูƒุงู† ุจูŠุตูŠุฑ ุนู†ุฏูƒ ุงู†ุช ููŠ
3608
+
3609
+ 903
3610
+ 01:14:49,390 --> 01:14:51,650
3611
+ ุงู„ุนุงุฏุฉ ูƒู†ุช ุจุชุณุชุฎุฏู… ุชุดูŠุฑ ุนู„ู‰ positive number ุตุญ ูˆู„ุง
3612
+
3613
+ 904
3614
+ 01:14:51,650 --> 01:14:55,330
3615
+ ุชุงู†ูŠ ู…ู† ุบูŠุฑ ู…ุง ุชุญุณ ุงู„ signs are ุฅูŠุงุด are the same
3616
+
3617
+ 905
3618
+ 01:14:55,330 --> 01:14:58,090
3619
+ ุชุงู†ูŠ whether ุงุณุชุฎุฏู…ุชูŠ ุงู„ mod ุฃูˆ ุงู„ุฑู… it gives the
3620
+
3621
+ 906
3622
+ 01:14:58,090 --> 01:15:02,350
3623
+ same result ู…ุด ู‡ูŠูƒ ูˆู„ุงุŒ ู‡ุฐุง ูƒุงู† ุจูŠุตูŠุฑ ู„ูƒู† ุนู…ูˆู…ุง ู…ุด
3624
+
3625
+ 907
3626
+ 01:15:02,350 --> 01:15:05,570
3627
+ ุดู„ุท ูŠูƒูˆู†ูˆุง ุงู„ two numbers ุงู„ู„ูŠ ู‡ู… a and b the same
3628
+
3629
+ 908
3630
+ 01:15:05,570 --> 01:15:07,710
3631
+ sign ู…ู…ูƒู† ูŠูƒูˆู†ูˆุง ุงู„ุฃุซู†ูŠู† negative ูˆุงุญุฏ positive
3632
+
3633
+ 909
3634
+ 01:15:07,710 --> 01:15:10,350
3635
+ ูˆุงุญุฏ negative ูˆุชุฎุชู„ู ุชุงู†ูŠ ู‡ูŠ ุจุชู†ุถุจุท ููŠ ุงู„ุฃุณุงุณ
3636
+
3637
+ 910
3638
+ 01:15:10,350 --> 01:15:11,310
3639
+ ุจุงู„ุฅูŠุงุด ูˆู…ุนุงุฏู„ุงุชู‡ุง
3640
+
3641
+ 911
3642
+ 01:15:13,860 --> 01:15:16,420
3643
+ ุชู…ุงู…ุŸ ูˆุงู„ุฑูŠู… ูˆุงู„ู…ูˆุฏ ุจูŠุณุชุฎุฏู… ู…ุนุฏู„ุงุช ู‡ุฐู‡ ุบูŠุฑ ู…ุง ุชุญุณ
3644
+
3645
+ 912
3646
+ 01:15:16,420 --> 01:15:19,040
3647
+ ุงู†ุช ู„ูˆ ุจุตูŠุช ู„ู‡ negative and always ู‡ุชุฏูŠู„ูƒ correct
3648
+
3649
+ 913
3650
+ 01:15:19,040 --> 01:15:22,300
3651
+ result ู‡ุชู„ุงู‚ูŠ ูุนู„ุง ู…ุงุดูŠ ุนู„ู‰ ู…ุนุฏู„ุงุช ู‡ุฐู‡ ุจุณ ุงู†ุช ููŠ
3652
+
3653
+ 914
3654
+ 01:15:22,300 --> 01:15:25,160
3655
+ ุชุทุจูŠู‚ุงุช ุชุณุชุฎุฏู…ุชู‡ุง ู…ุงุชุถุฑุชุด ุชุณุชุฎุฏู…ู‡ุง ู„ุญุงุฌุฉ negative
3656
+
3657
+ 915
3658
+ 01:15:25,160 --> 01:15:26,920
3659
+ ูˆ ู„ุญุงุฌุฉ positive ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ููŠ ุงู„ูˆุงู‚ุน ุจุชูƒูˆู†
3660
+
3661
+ 916
3662
+ 01:15:26,920 --> 01:15:29,780
3663
+ ุญุงุฌุชูŠู† positive ูˆ ุจุชุณุชุฎุฏู…ู‡ุง ูˆ ุชู„ุงู‚ูŠู‡ุง ุจุชุดุชุบู„
3664
+
3665
+ 917
3666
+ 01:15:29,780 --> 01:15:32,320
3667
+ ุชุณุชุฎุฏู…ู‡ุง ูˆ ุชู„ุงู‚ูŠู‡ุง ุชุดุชุบู„ ุชู‚ูˆู„ ุฏูŠ ุงุฑู‡ ูŠุงุดูŠ the same
3668
+
3669
+ 918
3670
+ 01:15:32,320 --> 01:15:34,880
3671
+ ู„ุฃ ู‡ู… ุฏูŠ ุงุฑู‡ the same ุจุณ ุชุญุช ุงู„ูƒูˆู† ู…ุด ู†ู‡ุฏู‡ ู…ุด ู‡ูŠูƒ
3672
+
3673
+ 919
3674
+ 01:15:34,880 --> 01:15:38,980
3675
+ ๏ฟฝ๏ฟฝ ู„ุง okay ู…ุงุดูŠ ู‡ุงูŠ ุจู‚ูˆู„ูƒ ุฅุฐุง ุงู„ science ุจุชุงุนุฉ ุงูŠู‡
3676
+
3677
+ 920
3678
+ 01:15:38,980 --> 01:15:41,900
3679
+ ูˆ ุงู„ู„ูŠ ุจูŠุฎุชู„ููˆุง ู…ู…ูƒู† ูŠุฏูŠู„ูƒ different results ู…ุด
3680
+
3681
+ 921
3682
+ 01:15:41,900 --> 01:15:47,550
3683
+ ุงู„ุญุงู„ุงุญู†ุง ู‡ูŠูƒ ุจูŠูƒูˆู† ุฎู„ุตู†ุง ุงู„ .. ุงู„ chapter ู‡ุฏุง ูˆ
3684
+
3685
+ 922
3686
+ 01:15:47,550 --> 01:15:51,230
3687
+ next time ุงู† ุดุงุก ุงู„ู„ู‡ ุจู†ุจุฏุฃ ุจ .. ุจ chapter ุฌุฏูŠุฏ
3688
+
3689
+ 923
3690
+ 01:15:51,230 --> 01:15:52,830
3691
+ ุงู„ู…ุฑุฉ ุฌุงูŠุจ ู†ูƒู…ู„ ุงู† ุดุงุก ุงู„ู„ู‡
3692
+
PL9fwy3NUQKwZxV6lHjK-ShPlZD0H8baax/q6eRxy1CCxg_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwZxV6lHjK-ShPlZD0H8baax/rHnrbW9PxQI.srt ADDED
@@ -0,0 +1,3625 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,940 --> 00:00:28,720
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ู‚ู„ู†ุง
4
+
5
+ 2
6
+ 00:00:28,720 --> 00:00:34,740
7
+ ููŠ function ุงุณู…ู‡ุง resolve ู„ูˆ ุฃู†ุช ู…ุณุชุฎุฏู… standard
8
+
9
+ 3
10
+ 00:00:34,740 --> 00:00:41,020
11
+ logic type ูˆููŠ more than one source are driving
12
+
13
+ 4
14
+ 00:00:41,020 --> 00:00:47,680
15
+ the same signal ุณุงุนุชู‡ุง ุงู„ู€ simulator ุจูŠู†ุงุฏูŠ ุงู„ู€
16
+
17
+ 5
18
+ 00:00:47,680 --> 00:00:51,700
19
+ resolve function ุนุดุงู† ูŠุนู…ู„ solution ูŠุนู†ูŠ ุนุดุงู† ูŠูˆุฌุฏ
20
+
21
+ 6
22
+ 00:00:51,700 --> 00:00:57,800
23
+ ุงู„ู€ final ุงูŠุด value ุงู„ู€ final value ุจุชุชุญุฏุฏ according
24
+
25
+ 7
26
+ 00:00:57,800 --> 00:01:03,040
27
+ to the following table ู‡ู†ุดูˆู ุชุงุจู„ ุงู„ุขู† ุงู„ู„ูŠ ู„ู‡ุง
28
+
29
+ 8
30
+ 00:01:03,040 --> 00:01:08,980
31
+ rows ูˆ columns ุนู„ู‰ ุฃุณุงุณู‡ุง ุจุชุชุญุฏุฏ ุงู„ู€ final value ุงู„ู€
32
+
33
+ 9
34
+ 00:01:08,980 --> 00:01:14,000
35
+ value ุงู„ุชุงุจู„ ู‡ุฐู‡ ู‡ุชู„ุงู‚ูŠู‡ุง ู…ุซู„ุงู‹ ุจู€ some code ุจุงู„ู€
36
+
37
+ 10
38
+ 00:01:14,000 --> 00:01:19,520
39
+ VHDL some way ููŠ ุงู„ู€ function ุงุณู…ู‡ุง resolution if
40
+
41
+ 11
42
+ 00:01:19,520 --> 00:01:23,060
43
+ you are interested ู…ู…ูƒู† ุชู‚ูุฒ ูˆุชุฑูˆุญ ุชุดูˆู ุนู„ู‰ ุงู„ู€ 13
44
+
45
+ 12
46
+ 00:01:23,060 --> 00:01:26,500
47
+ ูˆุชุดูˆู ุงู„ุชู…ุซูŠู„ ุงู„ุชุงุจุนุฉ ูƒูŠู ู„ูƒู† ุญุงู„ูŠุงู‹ ุงุญู†ุง ุจู†ู‡ุชู…
48
+
49
+ 13
50
+ 00:01:26,500 --> 00:01:30,360
51
+ ุจุงูŠุด ุงู„ู€ functionality ุชุงุจุนุชู‡ุง ูƒูŠู ุดุบุงู„ุฉ ุชูƒูˆู† ุนุงุฑู
52
+
53
+ 14
54
+ 00:01:30,360 --> 00:01:33,580
55
+ ุฃู† ุงู„ู€ table ุงู„ู„ูŠ ู‡ู†ุดูˆูู‡ ู‡ุงู„ุฌู‡ุฉ ู…ู…ุซู„ุฉ ููŠ function
56
+
57
+ 15
58
+ 00:01:33,580 --> 00:01:37,540
59
+ ุงุณู…ู‡ุง resolve ูˆู…ุชู‰ ุจูŠู†ุงุฏูŠู‡ุง resolve ู„ู…ุง ุฃูƒุซุฑ ู…ู†
60
+
61
+ 16
62
+ 00:01:37,540 --> 00:01:43,100
63
+ one source ูŠุนู…ู„ driving to the same signal ูˆูŠูƒูˆู†
64
+
65
+ 17
66
+ 00:01:43,100 --> 00:01:46,400
67
+ ู†ูˆุน ุงู„ู€ signal standard logic
68
+
69
+ 18
70
+ 00:01:47,780 --> 00:01:53,720
71
+ ูˆู…ูŠู† ุจูŠู†ุงุฏูŠู‡ุง ุงู„ู€ simulation ูˆู„ุง ุงู„ู€ hardware ุงู„ู€
72
+
73
+ 19
74
+ 00:01:53,720 --> 00:01:55,520
75
+ simulation ุงู„ู€ hardware ู…ุง ู„ู‡ ุชุนู…ู„ ู…ุด ุดุงูŠูู‡ ูˆู„ุง ุฅูŠู‡
76
+
77
+ 20
78
+ 00:01:55,520 --> 00:01:57,960
79
+ ุนุงูŠุฒุฉ ุงู„ู€ hardware ุงู„ู„ูŠ ุนู…ู„ ุฎู„ุงุต ู„ูˆ ููŠ ู„ูŠู‡ุง ู…ูˆุถูˆุน
80
+
81
+ 21
82
+ 00:01:57,960 --> 00:02:03,480
83
+ ู…ูˆุตูˆู„ ุชุชุญู…ู„ ู…ุณุคูˆู„ูŠุฉ ุฃู†ุช ุดูˆูุด ุงู„ู„ูŠ ู‡ูŠุตูŠุฑ ูƒู…ุงู† ุจุณ ููŠ
84
+
85
+ 22
86
+ 00:02:03,480 --> 00:02:08,040
87
+ ุงู„ู€ table ุงู„ุชุงู„ูŠุฉ ู‚ุจู„ ู…ุง ู†ุฎุด ุนู„ู‰ ุชูุงุตูŠู„ ู‡ู†ุง ู‡ู†ูˆุถุญ
88
+
89
+ 23
90
+ 00:02:08,040 --> 00:02:14,020
91
+ ุดุบู„ุงุช ูƒู†ุง ู‚ู„ู†ุง ุงู„ู€ values ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ unknown ู‡ุฐู‡ ูˆ
92
+
93
+ 24
94
+ 00:02:14,020 --> 00:02:18,480
95
+ ุงู„ู€ zero ูˆ ุงู„ู€ ูˆุงุญุฏ are forcing values ุตุญูŠุญ ู‡ุฐุง
96
+
97
+ 25
98
+ 00:02:18,480 --> 00:02:22,920
99
+ forcing unknown ู‡ุฐุง forcing zero ู‡ุฐุง forcing one
100
+
101
+ 26
102
+ 00:02:22,920 --> 00:02:28,380
103
+ ุงู„ู€ weak ุซู„ุงุซุฉ ู‡ุฐุง ุงู„ู€ weak unknown ู‡ุฐุง ุงู„ู€ weak low
104
+
105
+ 27
106
+ 00:02:28,380 --> 00:02:34,660
107
+ ูˆ ุงู„ู€ weak high ุดูˆู ุงู„ู€ rule ุงู„ุฃูˆู„ุงู†ูŠุฉ ุฅุฐุง ููŠ ุนู†ุฏูƒ
108
+
109
+ 28
110
+ 00:02:34,660 --> 00:02:42,760
111
+ ุงู„ู€ one source ุจูŠุนู…ู„ driving ู„ู€ signal forcing
112
+
113
+ 29
114
+ 00:02:42,760 --> 00:02:48,200
115
+ strength value ูˆููŠ source ุซุงู†ูŠ ุจูŠุนู…ู„ ุงู„ู€ driving
116
+
117
+ 30
118
+ 00:02:48,200 --> 00:02:52,220
119
+ weak ุงู„ุบุงู„ุจ ูŠูƒูˆู† ู†ู‡ุงุฆูŠุงู‹ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู€ forcing
120
+
121
+ 31
122
+ 00:02:52,220 --> 00:02:57,460
123
+ ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ู‡ูŠ ุงู„ู€ value ุชุจุน ุงู„ู€ forcing
124
+
125
+ 32
126
+ 00:02:57,460 --> 00:03:04,560
127
+ driver ู„ูˆ ููŠ two sources are driving the same
128
+
129
+ 33
130
+ 00:03:04,560 --> 00:03:09,220
131
+ signal ูˆุงุญุฏ ู…ู†ู‡ู… forcing ูˆุงุญุฏ ู…ู†ู‡ู… weak ุงู„ู‚ูŠู…ุฉ
132
+
133
+ 34
134
+ 00:03:09,220 --> 00:03:15,770
135
+ ุงู„ู„ูŠ ุจูŠุญุฏุฏู‡ุง ุงู„ู€ forcing ู‡ุฐู‡ ุฃูˆู„ rule ุทูŠุจ ู„ูˆ ููŠ
136
+
137
+ 35
138
+ 00:03:15,770 --> 00:03:23,930
139
+ signal is driven by two sources ูˆุงู„ุฅุซู†ูŠู† ุฅู„ู‡ู… ู†ูุณ
140
+
141
+ 36
142
+ 00:03:23,930 --> 00:03:28,470
143
+ ุงู„ู€ strength ูŠุนู†ูŠ ุงู„ุฅุซู†ูŠู† ู…ุซู„ุงู‹ forcing ุฃูˆ ุงู„ุฅุซู†ูŠู†
144
+
145
+ 37
146
+ 00:03:28,470 --> 00:03:35,930
147
+ ุฅูŠุดุŸ weak ุฅูŠุด ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู‡ุงุฆูŠุฉุŸ unknown ุจุณ ู‚ู„ู†ุง ููŠ
148
+
149
+ 38
150
+ 00:03:35,930 --> 00:03:39,030
151
+ two unknowns ููŠ forcing ูˆููŠ ุฅูŠุดุŸ weak if they
152
+
153
+ 39
154
+ 00:03:39,030 --> 00:03:42,170
155
+ driving or forcing ุงู„ู€ unknown ุจูŠูƒูˆู† ุฅูŠุดุŸ forcing
156
+
157
+ 40
158
+ 00:03:42,830 --> 00:03:47,090
159
+ ุฅุฐุง ุงู„ู€ driving sources are weakุŒ ุงู„ุฃู†ูˆุฑ ุงู„ู„ูŠ
160
+
161
+ 41
162
+ 00:03:47,090 --> 00:03:50,790
163
+ ุจูŠุทู„ุน ุฅูŠุดุŒ ุจูŠุทู„ุน weakุŒ ู…ู†ุทู‚ูŠุŒ ู‡ุฐุง ู…ู†ุทู‚ูŠุŒ ู…ุด ู‡ูŠูƒ ูˆู„ุง
164
+
165
+ 42
166
+ 00:03:50,790 --> 00:04:01,290
167
+ ู„ุงุŒ ุฐู„ูƒ ูŠุชุทู„ุน ุนู„ู‰ ุงู„ู€ table ุงู„ุชุงู„ูŠุŒ ู‡ุงูŠ
168
+
169
+ 43
170
+ 00:04:01,290 --> 00:04:05,490
171
+ ุงู„ุชุณุนุฉ values ุชู‚ุน ู…ู† ุงู„ู€ standard logic ูˆู‡ูŠ ู†ูุณ
172
+
173
+ 44
174
+ 00:04:05,490 --> 00:04:10,950
175
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุณุนุฉุŒ ู„ูˆ one source is driving is
176
+
177
+ 45
178
+ 00:04:10,950 --> 00:04:14,800
179
+ uninitialized ูˆุงู„ุชุงู†ูŠ uninitialized ุทุจูŠุนูŠ ุฅูŠู‡ ุงู„ู€
180
+
181
+ 46
182
+ 00:04:14,800 --> 00:04:18,300
183
+ result ู‡ุชูƒูˆู† ุฅูŠู‡ุŸ uninitialized ูˆุฅู† ู„ู…ุง ูŠูƒูˆู†
184
+
185
+ 47
186
+ 00:04:18,300 --> 00:04:20,660
187
+ uninitialized ุฃุตู„ุงู‹ ู…ุง ู„ูˆุด ุฅูŠู‡ุŸ ู…ุง ู„ูˆุด strength ูุฅูŠู‡
188
+
189
+ 48
190
+ 00:04:20,660 --> 00:04:26,000
191
+ ู‡ุฐุง ู…ุนุงู…ู„ุฉ ุฎุงุตุŸ ูˆูƒุฐุง ู„ูˆ ุงู„ูˆุงุญุฏ ู…ู†ู‡ู… ู…ู† ุงู„ู€ sources
192
+
193
+ 49
194
+ 00:04:26,000 --> 00:04:30,160
195
+ uninitialized ูˆุงู„ุชุงู†ูŠ unknown ุงู„ู†ุชูŠุฌุฉ ุจุชูƒูˆู† ุฅูŠู‡ุŸ
196
+
197
+ 50
198
+ 00:04:30,160 --> 00:04:34,400
199
+ uninitialized ูˆ it applies ุนู„ูŠุด ุนู„ู‰ ุงู„ูƒู„ ุญุชู‰ ุชุดูˆู
200
+
201
+ 51
202
+ 00:04:34,400 --> 00:04:41,100
203
+ ุงู„ูŠูˆู… ู…ุน ุงู„ูˆุงุญุฏ ู…ุน ุงู„ูˆุงุญุฏ ุงู„ูˆุงุญุฏ ุตุญ it is ูŠุนู†ูŠ
204
+
205
+ 52
206
+ 00:04:41,100 --> 00:04:44,560
207
+ deterministic ู…ุญุฏุฏ ูˆู…ุนุฑูˆู ู„ูƒู† ุงู„ุชุงู†ูŠ is ุงูŠุด
208
+
209
+ 53
210
+ 00:04:44,560 --> 00:04:49,020
211
+ uninitialized ููƒูŠู ู‡ูŠุญุณุจ ุงู„ู€ .. ู„ูˆ ู‚ู„ุช ุญุณุจู‡ุง ูˆุงุญุฏ ุงู„ู€
212
+
213
+ 54
214
+ 00:04:49,020 --> 00:04:52,040
215
+ result ุฃู† ู‡ูŠ ูƒุฃู†ู‡ ุฃู†ุช ุญุณุจุชู‡ุง ูˆุงุญุฏ ู„ู…ุง ูƒุงู†ูˆุง
216
+
217
+ 55
218
+ 00:04:52,040 --> 00:04:55,200
219
+ initialized ูˆุงุญุฏ ู„ูˆ ู‚ู„ุช ุญุณุจู‡ุง zero ู‡ุชู‚ูˆู„ ุฃู† ุฅู†ู‡
220
+
221
+ 56
222
+ 00:04:55,200 --> 00:04:58,820
223
+ ูƒุงู†ูˆุง .. ู…ุง ุนู†ุฏู‡ ุญุณุจุชู‡ ุฒูŠ ู…ุนู†ุงุชู‡ ู…ุด ู…ุธุจูˆุท ุดูƒู„ู‡ ุฅุฐุง
224
+
225
+ 57
226
+ 00:04:58,820 --> 00:05:02,240
227
+ ุฅูŠุด ุงู„ู†ุชูŠุฌุฉ ุจุชูƒูˆู† ุฅูŠุด uninitialized ูˆูƒุฐุง ุจุงู„ู†ุณุจุฉ
228
+
229
+ 58
230
+ 00:05:02,240 --> 00:05:06,900
231
+ ู„ู…ุง ุฌูŠุช ุฅูŠุด ูƒู„ ุงู„ุฑู‚ู… ู‡ุฐุง ุฅุฐุง ูˆุงุญุฏ ู…ู† ุงู„ู€ sources is
232
+
233
+ 59
234
+ 00:05:06,900 --> 00:05:09,940
235
+ uninitialized ุงู„ู€ result ุจุชูƒูˆู† uninitialized ุจุบุถ
236
+
237
+ 60
238
+ 00:05:09,940 --> 00:05:13,380
239
+ ุงู„ู†ุธุฑ ุนู† ุงู„ู€ yes ูˆุนู† ุงู„ุชุงู†ูŠ ูˆูƒุฐุง ูŠุง ุดูŠ ูˆุทุจุนุงู‹ ุงู„ู€
240
+
241
+ 61
242
+ 00:05:13,380 --> 00:05:18,500
243
+ column ู‡ุฐุง ุฒูŠ yes ุฒูŠ ุงู„ุฑูˆุงุญุฉ ุฏู‡ ุทูŠุจ ู„ูˆ ูˆุงุญุฏ ู…ู†ู‡ู…
244
+
245
+ 62
246
+ 00:05:18,500 --> 00:05:23,640
247
+ unknown ูˆุงู„ุชุงู†ูŠ unknown ุงุชู„ุงุญุธ ุงู„ู„ู‡ู… ู†ูุณ ุงู„ู€
248
+
249
+ 63
250
+ 00:05:23,640 --> 00:05:28,900
251
+ strings ุจุณูŠูƒูˆ ุงู„ุขู† forcing ุชู…ุงู… ูˆู†ูุณ ุงู„ู€ value
252
+
253
+ 64
254
+ 00:05:28,900 --> 00:05:31,080
255
+ ุงู„ุฅุซู†ูŠู† unknown ุงู„ุฅุซู†ูŠู† unknown ุงู„ู€ result ุจุชูƒูˆู†
256
+
257
+ 65
258
+ 00:05:31,080 --> 00:05:33,540
259
+ ูŠุงุดูŠ ุทุจุนุงู‹ unknown ูˆ forcing ู†ูุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
260
+
261
+ 66
262
+ 00:05:33,540 --> 00:05:38,380
263
+ strength ุทูŠุจ ู„ูˆ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ forcing zero ูˆุงู„ุชุงู†ูŠ
264
+
265
+ 67
266
+ 00:05:38,380 --> 00:05:46,780
267
+ forcing unknown ู‡ู„ ู‡ูŠ the same strengthุŸ
268
+
269
+ 68
270
+ 00:05:46,780 --> 00:05:51,960
271
+ ุชู…ุงู…ุŸ ุฅูŠุด ุงู„ู€ value ุงู„ู„ูŠ ู‡ูŠุŸ ุจุชูƒูˆู† unknownุŸ again
272
+
273
+ 69
274
+ 00:05:51,960 --> 00:05:57,590
275
+ ุจุฑุถู‡ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ unknown ุฅุฐุง forcing unknown ู…ู† ู‡ู†ุง
276
+
277
+ 70
278
+ 00:05:57,590 --> 00:06:02,990
279
+ ูˆุทุงู„ุน ุฅุฐุง ุงู„ุชุงู†ูŠ ูƒุงู† ุฃูŠ value ุฃุฎุฑู‰ ุงู„ู€ result
280
+
281
+ 71
282
+ 00:06:02,990 --> 00:06:06,070
283
+ ุจุชูƒูˆู† what ุจุชูƒูˆู† unknown ุฎู„ุตู‡ุง ู…ู† ุงู„ู€ row ู‡ุฐุง ูˆ ุงู„ู€
284
+
285
+ 72
286
+ 00:06:06,070 --> 00:06:11,030
287
+ column ู‡ุฐุง ูŠุฌูŠ ู‡ู†ุง ุทุจุนุงู‹ zero ู…ุน zero ุทุจูŠุนูŠ zero
288
+
289
+ 73
290
+ 00:06:11,030 --> 00:06:13,770
291
+ ู…ุดูƒู„ุฉ ู…ุง ููŠุด ููŠู‡ุง problem ุงู„ู€ zero ู…ุน ุงู„ู€ ูˆุงุญุฏ
292
+
293
+ 74
294
+ 00:06:13,770 --> 00:06:19,890
295
+ unknown ุตุญ ุชู„ุงุญุธ ู†ูุณ ุงู„ู€ forcing ุงู„ู€ ุฅุซู†ูŠู† are
296
+
297
+ 75
298
+ 00:06:19,890 --> 00:06:22,550
299
+ forcing ุงู„ู€ zero ูˆ ุงู„ู€ ูˆุงุญุฏ ุงู„ู€ result ูŠุทู„ุน unknown
300
+
301
+ 76
302
+ 00:06:22,550 --> 00:06:27,310
303
+ ุจุณ ุฅูŠุด ุงู„ู€ strength ุชุจุนู‡ forcing ุทูŠุจ ุงู„ู€ zero ู…ุน ุงู„ู€
304
+
305
+ 77
306
+ 00:06:27,310 --> 00:06:30,510
307
+ high impedance ุงู„ู€ high impedance ู…ุง ู„ู‡ุงุด ูุนู„ ูˆู„ูƒู†
308
+
309
+ 78
310
+ 00:06:30,510 --> 00:06:35,950
311
+ ุฅู„ูŠู‡ุง ุงู„ู€ strength ุญู‚ูŠู‚ูŠุฉ ุงุนุชุจุฑู‡ุง ูƒุฃู†ู‡ุง strength ุจุณ
312
+
313
+ 79
314
+ 00:06:35,950 --> 00:06:42,730
315
+ ูŠุนู†ูŠ ุฃุถุนู ูƒู…ุงู† ู…ู† ุงู„ู€ weak ู„ุฃู† ุงุญู†ุง ู‚ู„ู†ุง ุฃุตู„ุงู‹ ุงู„ู€
316
+
317
+ 80
318
+ 00:06:42,730 --> 00:06:46,470
319
+ high impedance ุจูŠูƒูˆู† ุงู„ู€ wire ูƒุฃู†ู‡ disconnected ู…ุด
320
+
321
+ 81
322
+ 00:06:46,470 --> 00:06:49,670
323
+ ู‡ูŠูƒูˆู‡ ู„ุฃู† nothing is driving ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
324
+
325
+ 82
326
+ 00:06:49,670 --> 00:06:52,990
327
+ signal ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ value ุฃู† ู‡ูŠ ู…ูŠู† ุจูŠุญุฏุฏู‡ุง ุงู„ู€ source
328
+
329
+ 83
330
+ 00:06:52,990 --> 00:06:57,670
331
+ ุงู„ุฃุฎุฑู‰ุŒ zeroุŒ ุฅุฐุง ู…ุน ุงู„ู€ higher base ุจุชูƒูˆู† zero ุทุจ
332
+
333
+ 84
334
+ 00:06:57,670 --> 00:07:03,730
335
+ ู‡ู†ุง zero ู…ุน weakุŒ ู‡ู†ุง ุงุฎุชู„ูุช ุงู„ู€ strengthุŒ ุฅุฐุง
336
+
337
+ 85
338
+ 00:07:03,730 --> 00:07:08,110
339
+ ุงุฎุชู„ูุช ุงู„ู€ strength ูƒู„ ู…ูŠู† ุจูŠุญุฏุฏ ุงู„ู€ forcingุŒ ูŠุจู‚ู‰
340
+
341
+ 86
342
+ 00:07:08,110 --> 00:07:12,650
343
+ zero ุทูŠุจ ุฒูŠุฑูˆ ู…ุน ุงู„ู€ low ุงุฎุชู„ูุช ุจุฑุถู‡ ู‡ุฏูˆู„ ูƒู„ู‡ู… ุฅูŠู‡
344
+
345
+ 87
346
+ 00:07:12,650 --> 00:07:16,670
347
+ ุฃุตู„ู‹ุง ุฅุฐุง ู†ุฒุงุฑ ุจุชูƒูˆู† ุฅูŠุดุŸ zero ู„ุฃู†ู‡ forcing zero
348
+
349
+ 88
350
+ 00:07:16,670 --> 00:07:22,400
351
+ ุทูŠุจ ุฒูŠุฑูˆ ู…ุน ุงู„ู€ don't care ุฎู„ูŠ ู‡ุฐุง ู„ู„ุขุฎุฑ ูˆู„ุฃู† ู†ู‚ูˆู„
352
+
353
+ 89
354
+ 00:07:22,400 --> 00:07:26,000
355
+ ูˆุงุญุฏ ุฌุงุช ุจุงู„ู…ุฑุฉ ุงู„ู€ zero ู…ุน ุงู„ู€ don't care ุจูŠูƒูˆู†
356
+
357
+ 90
358
+ 00:07:26,000 --> 00:07:30,920
359
+ unknown ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† forcing ูˆุงุญุฏ ุฃูŠูˆุฉ ูŠู…ูƒู† ุงู„ู€
360
+
361
+ 91
362
+ 00:07:30,920 --> 00:07:32,060
363
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„
364
+
365
+ 92
366
+ 00:07:32,060 --> 00:07:33,500
367
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ุงู„
368
+
369
+ 93
370
+ 00:07:33,500 --> 00:07:34,220
371
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„๏ฟฝ๏ฟฝ .. ุงู„ู€ .. ุงู„
372
+
373
+ 94
374
+ 00:07:34,220 --> 00:07:34,840
375
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ุงู„
376
+
377
+ 95
378
+ 00:07:34,840 --> 00:07:35,240
379
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ุงู„
380
+
381
+ 96
382
+ 00:07:35,240 --> 00:07:35,420
383
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„
384
+
385
+ 97
386
+ 00:07:35,420 --> 00:07:35,540
387
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ุงู„
388
+
389
+ 98
390
+ 00:07:35,540 --> 00:07:38,500
391
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ุงู„
392
+
393
+ 99
394
+ 00:07:38,500 --> 00:07:43,860
395
+ ..
396
+
397
+ 100
398
+ 00:07:43,860 --> 00:07:45,860
399
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„
400
+
401
+ 101
402
+ 00:07:50,050 --> 00:07:54,470
403
+ ู†ูุณ ุงู„ุดูŠุก ุงู„ู€ column ู‡ุฐุง ุฌูŠุช ู„ู‡ุŒ ู…ุด ู‡ูŠูƒุŸ ุทูŠุจ ูŠุฌูŠ
404
+
405
+ 102
406
+ 00:07:54,470 --> 00:08:00,970
407
+ ู‡ู†ุง ุงู„ูˆุงุญุฏ ู…ุน ุงู„ูˆุงุญุฏ ุฃูƒูŠุฏ ู‡ูŠุฌูŠู„ูƒ ูŠุง ุดูŠุŒ ูˆุงุญุฏุŒ ู…ุน ุงู„ู€
408
+
409
+ 103
410
+ 00:08:00,970 --> 00:08:04,910
411
+ high impedance ุจุฑุถู‡ ูˆุงุญุฏุŒ ู…ุน ุงู„ู€ weak ู‡ุฏูˆู„ ูƒู„ู‡ู… ูˆุงุญุฏ
412
+
413
+ 104
414
+ 00:08:04,910 --> 00:08:08,610
415
+ ู…ุน ุงู„ู€ don't care unknown ุฒูŠ ูˆ ุฒูŠ zero ู…ุด ู‡ูŠูƒ ูˆู„ุง
416
+
417
+ 105
418
+ 00:08:08,610 --> 00:08:12,710
419
+ ุฎุฑุฌุช ู…ุด ู‡ูŠูƒ ูˆู„ุง okay ุฎู„ุตุช ู…ู† ุงู„ุฌุฒุก ู‡ุฐุง ูˆุงู„ุฌุฒุก
420
+
421
+ 106
422
+ 00:08:12,710 --> 00:08:16,730
423
+ ู‡ุฐุง ุฌูŠู‡ ุฅู„ู‰ ู‡ู†ุง ุฅุฐุง ุงู„ุฅุซู†ูŠู† .. ุฅุฐุง ุงู„ู€ two sources
424
+
425
+ 107
426
+ 00:08:16,730 --> 00:08:19,090
427
+ ุขู‡ high impedance ุงู„ู†ุชูŠุฌุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุจุชูƒูˆู† high
428
+
429
+ 108
430
+ 00:08:19,090 --> 00:08:23,990
431
+ impedance ู…ุด ู‡ูŠูƒ ูˆู„ุง ุทุจูŠุนูŠ ูุงู‡ู…ุŸ ู„ูƒู† ู„ูˆ ูˆุงุญุฏ high
432
+
433
+ 109
434
+ 00:08:23,990 --> 00:08:28,350
435
+ impedance ูˆุงู„ุชุงู†ูŠ weak low ุทุจุนุงู‹ ุงู„ู€ weak unknown
436
+
437
+ 110
438
+ 00:08:28,350 --> 00:08:33,330
439
+ ุงู„ู†ุชูŠุฌุฉ weakish ุงู„ู„ูŠ ู‡ูˆ unknown ุนู„ู‰ ุงุนุชุจุงุฑ ุงู„ู€ weak
440
+
441
+ 111
442
+ 00:08:33,330 --> 00:08:37,610
443
+ ุฃุนู„ู‰ ุดูˆูŠุฉ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ู€ high impedance ุชู…ุงู…ุŸ ุทุจ ูˆ
444
+
445
+ 112
446
+ 00:08:37,610 --> 00:08:41,470
447
+ ู„ูˆ weak low .. weak low ู‡ูˆ ุฃุฒูŠุฏ ูƒุฃู†ู‡ ู…ุด .. ูƒุฃู†ู‡
448
+
449
+ 113
450
+ 00:08:41,470 --> 00:08:47,070
451
+ ู…ู‚ุทูˆุน ุชู…ุงู…ุŸ ูˆู‡ุงุฏ weak ุฅูŠุดุŸ weak high okay ู‡ู†ุง
452
+
453
+ 114
454
+ 00:08:47,070 --> 00:08:52,230
455
+ ุจูŠูƒูˆู† ุฅูŠุดุŸ don't .. unknown ู„ุฃู†ู‡ ุงู„ู€ .. ุงู„ู€ don't
456
+
457
+ 115
458
+ 00:08:52,230 --> 00:08:57,850
459
+ care ุงู„ุชุงู†ูŠ ู…ุด ู…ุนุฑูˆูุŒ ู…ุงุดูŠ ุงู„ุญุงู„ okay ูˆูƒุฏู‡ ุจุฌูŠุช
460
+
461
+ 116
462
+ 00:08:57,850 --> 00:09:02,800
463
+ .. ุจุฌูŠุช ุงู„ู€ cola ู…ู„ูŠูˆู† ูˆุญุฏุฉุŒ ู†ูŠุฌูŠ ู‡ู†ุง ุงู„ู€ W ู…ุน ุงู„ู€ Z
464
+
465
+ 117
466
+ 00:09:02,800 --> 00:09:10,600
467
+ ุงู„ู€ weak unknown ู‚ู„ู†ุง ุฅูŠุด weak unknown ุทูŠุจ
468
+
469
+ 118
470
+ 00:09:10,600 --> 00:09:16,420
471
+ ู‡ู†ุง ุงู„ู€ strength is the same ุงู„ู€ W ู…ุน ุงู„ู€ W ุฃูƒูŠุฏ W
472
+
473
+ 119
474
+ 00:09:16,420 --> 00:09:18,760
475
+ ู…ุดูƒู„ุฉ ูˆู„ุง weak unknown ู…ุน weak unknown ุจุฏูŠู„ูƒ ูˆูŠูƒ
476
+
477
+ 120
478
+ 00:09:18,760 --> 00:09:26,980
479
+ ุฅูŠุด weak unknown weak unknown ู…ุน weak low ู‡ุฏูˆู„
480
+
481
+ 121
482
+ 00:09:26,980 --> 00:09:30,220
483
+ ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„ู€ strength
484
+
485
+ 122
486
+ 00:09:32,570 --> 00:09:36,310
487
+ ู„ูƒู† ูˆุงุญุฏู‡ู… ุฅูŠุด unknown ุงู„ู†ุชูŠุฌุฉ ุนู„ู‰ ุจุนุถ ุจุชูƒูˆู† ุฅูŠุด
488
+
489
+ 123
490
+ 00:09:36,310 --> 00:09:40,870
491
+ ุจุชูƒูˆู† unknown ูˆูƒุฏู‡ ุฅูŠุด ู…ุน ุงู„ู€ high ู…ุน ุงู„ู€ don't care
492
+
493
+ 124
494
+ 00:09:40,870 --> 00:09:44,830
495
+ ุจูŠูƒูˆู† ุฅูŠุด ุจูŠูƒูˆู† forcing unknown ุจุชู„ุงุญุธ ู…ุน ุงู„ู€ don't
496
+
497
+ 125
498
+ 00:09:44,830 --> 00:09:47,930
499
+ care ู…ู† ู‡ู†ุง ูƒู„ู‡ ุจูŠูƒูˆู† forcing ุฅูŠุด forcing ุงู„ู„ูŠ ู‡ูˆ
500
+
501
+ 126
502
+ 00:09:47,930 --> 00:09:51,210
503
+ unknown ูˆูƒุฏู‡ ุงู„ู€ low ุดูˆู ุงู„ู€ low ุงู„ู€ low ู‡ู†ุง ุงู„ู„ูŠ ุฌูŠุช
504
+
505
+ 127
506
+ 00:09:51,210 --> 00:09:54,110
507
+ ู…ุนุงูƒ ุชุฎู„ุตู‡ุง ู…ู†ู‡ุง ุฏู‡ ูˆู‡ู†ูŠุฌูŠ ุงู„ู€ low ุงู„ู€ low ู…ุน ุงู„ู€
508
+
509
+ 128
510
+ 00:09:54,110 --> 00:09:57,430
511
+ weak unknown ุจุชุฏูŠู„ูƒ weak unknown ุงู„ู€ weak low ู…ุน ุงู„ู€
512
+
513
+ 129
514
+ 00:09:57,430 --> 00:09:59,490
515
+ weak unknown weak ุฅูŠุด weak unknown
516
+
517
+ 130
518
+ 00:10:03,150 --> 00:10:07,690
519
+ Okay ุงู„ู€ .. ุงู„ู€ low ู…ุน ุงู„ู€ low ุฃูƒูŠุฏ lowุŒ ุงู„ู€ low ู…ุน ุงู„ู€
520
+
521
+ 131
522
+ 00:10:07,690 --> 00:10:12,510
523
+ high weak .. weak .. weak .. weak unknown ู„ุฃู† ุฃู†ุช
524
+
525
+ 132
526
+ 00:10:12,510 --> 00:10:15,910
527
+ ุดุงุจูƒ ู…ุน ุจุนุถ ุงู„ู„ูŠ ู‡ูˆ low ู…ุน high ูƒุฃู†ู‡ zero ู…ุน ูˆุงุญุฏุŒ
528
+
529
+ 133
530
+ 00:10:15,910 --> 00:10:19,110
531
+ ู‡ูˆ ุฏูŠ ู„ูƒ unknownุŒ ุจุณ ู…ุด ู†ูˆุนู‡ weak ู„ุฃู† ุงู„ุฅุซู†ูŠู† ุงู„ู€
532
+
533
+ 134
534
+ 00:10:19,110 --> 00:10:22,570
535
+ .. ุงู„ู€ L is low ูˆ ุงู„ู€ .. ูˆ ุงู„ู€ high is lowุŒ ู…ุด ู‡ูŠูƒ ูˆู„ุง
536
+
537
+ 135
538
+ 00:10:22,570 --> 00:10:25,230
539
+ ู„ุฃุŒ ุงู„ุฅุซู†ูŠู† .. ุงู„ุฅุซู†ูŠู† weakุŒ ุงู„ุฅุซู†ูŠู†
540
+
541
+ 136
542
+ 00:10:25,230 --> 00:10:28,680
543
+ weak okay ู…ุน ุงู„ู€ don't care .. ู…ุน ุงู„ู€ don't care
544
+
545
+ 137
546
+ 00:10:28,680 --> 00:10:32,860
547
+ ุจุชุฏูŠู„ูƒ unknown ูˆุฎู„ุตุช ููŠ ุณุทุฑ ูˆุณุทุฑ ู‡ุฐุง ุทูŠุจ ุงู„ู€ high
548
+
549
+ 138
550
+ 00:10:32,860 --> 00:10:35,620
551
+ ู…ุน ุงู„ู€ logo ุงู„ู„ูŠ ุฃู‚ูˆู„ูƒ unknown ู…ุน ุงู„ู€ high it is
552
+
553
+ 139
554
+ 00:10:35,620 --> 00:10:39,700
555
+ high ู…ุด ู‡ูŠูƒ ุจูŠุฎู„ุต ุงู„ู€ table ูˆุงุถุญ ูƒูŠู ู…ู† ูˆู† ุฃุฌุงุช ุงู„ู€
556
+
557
+ 140
558
+ 00:10:39,700 --> 00:10:43,640
559
+ values ุนุดุงู† ู…ุง ุชูƒูˆู†ุด ุจุงู„ู†ุณุจุฉ ู„ู†ุง ูƒู€ black box ูˆุงุญู†ุง
560
+
561
+ 141
562
+ 00:10:43,640 --> 00:10:46,080
563
+ ู…ุด ุนุงุฑููŠู† ุงู„ู†ุงุณ ุงู„ู„ูŠ ุฌุงุฑูŠู† okay ู…ุงุดูŠ
564
+
565
+ 142
566
+ 00:10:56,690 --> 00:11:01,550
567
+ ุจุงู„ู†ุณุจุฉ ู„ู„ู€ high impedance ู‚ู„ู†ุง ู„ูˆ ูˆุงุญุฏ ู…ู† ุงู„ู€
568
+
569
+ 143
570
+ 00:11:01,550 --> 00:11:05,870
571
+ sources ูƒุงู† high impedance ูˆุงู„ุชุงู†ูŠ is driving ุงู„ู€
572
+
573
+ 144
574
+ 00:11:05,870 --> 00:11:12,230
575
+ bus ูˆุงู‚ุน ุจู€ high value ูˆุงู„ุชุงู†ูŠ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญุฏุฏ ุงู„ู‚ูŠู…ุฉ
576
+
577
+ 145
578
+ 00:11:12,230 --> 00:11:15,750
579
+ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุงู„ุชุงู†ูŠ ู„ุฃู†ู‡ high impedance ุงู„ุฃูˆู„ุงู†ูŠ
580
+
581
+ 146
582
+ 00:11:15,750 --> 00:11:20,270
583
+ ู…ุนู†ุงุชู‡ ูƒุฃู†ู‡ disconnected ู‡ุฐุง ุงู„ูƒู„ุงู… ุจูŠุธู‡ุฑ ู„ูƒ ุจุงู„ู€
584
+
585
+ 147
586
+ 00:11:20,270 --> 00:11:24,530
587
+ three state buffers ุงู„ู€ three state buffer ุนุจุงุฑุฉ ุนู†
588
+
589
+ 148
590
+ 00:11:24,530 --> 00:11:28,940
591
+ ุฒูŠ ุงู„ู€ inverter ุจุงูุฑ ูŠุญุชูˆูŠ ุนู„ู‰ ูˆุงุญุฏ input ูˆุงุญุฏ
592
+
593
+ 149
594
+ 00:11:28,940 --> 00:11:37,120
595
+ output ูˆูŠุญุชูˆูŠ ุนู„ู‰ control line ุฅุฐุง ู‚ู…ุช ุจุนู…ู„ ุฅุนุงุฏุฉ
596
+
597
+ 150
598
+ 00:11:37,120 --> 00:11:39,500
599
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
600
+
601
+ 151
602
+ 00:11:39,500 --> 00:11:44,700
603
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
604
+
605
+ 152
606
+ 00:11:44,700 --> 00:11:48,660
607
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
608
+
609
+ 153
610
+ 00:11:48,660 --> 00:11:48,740
611
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
612
+
613
+ 154
614
+ 00:11:48,740 --> 00:11:49,120
615
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
616
+
617
+ 155
618
+ 00:11:49,120 --> 00:11:52,740
619
+ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ ุฅุนุงุฏุฉ
620
+
621
+ 156
622
+ 00:11:53,460 --> 00:11:58,980
623
+ ุงู„ู‡ุฏู‰ ุจูŠุณุชุฎุฏู… ู…ุชู‰ุŸ ุจูŠุณุชุฎุฏู… ูŠุนู†ูŠ ู…ุซู„ุงู‹ ููŠ ุงู„ู€ data
624
+
625
+ 157
626
+ 00:11:58,980 --> 00:12:03,100
627
+ bus ุงู„ู„ูŠ ุทุงู„ุน ู…ู† ุงู„ู…ูƒุชูˆุฑุฉ ุงู„ู„ูŠ ุฑุงูŠุญ ู„ู€ ุงู„ memories
628
+
629
+ 158
630
+ 00:12:03,100 --> 00:12:08,340
631
+ ู„ู€ ุงู„ู€ ROM ูˆุฑู…ุฒ ูˆุดุบู„ุงุช ู‡ุฏู‰ ุชุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† ู…ุดุจูƒ ุนู„ู‰ ุงู„ู€
632
+
633
+ 159
634
+ 00:12:08,340 --> 00:12:14,170
635
+ data bus ุฃูƒุซุฑ ู…ู† memory chip ู„ูƒู† at any one time ู…ุด
636
+
637
+ 160
638
+ 00:12:14,170 --> 00:12:18,690
639
+ ู…ุณู…ูˆุญ ุฃูƒุซุฑ ู…ู† ูˆุงุญุฏ ุชุนู…ู„ drive ู„ู…ูŠู†ุŸ ู„ู€ ุงู„ู€ bus ู„ุฃู† ู„ูˆ
640
+
641
+ 161
642
+ 00:12:18,690 --> 00:12:22,650
643
+ ุฃูƒุซุฑ ู…ู† ุดุจู‡ ุนุงู…ู„ุฉ drive ู„ู€ ุงู„ู€ bus ู‡ูŠุตูŠุฑ ุจูŠุณู…ูŠ bus
644
+
645
+ 162
646
+ 00:12:22,650 --> 00:12:28,930
647
+ contention ุชู…ุงู… ุชุตุงุฏู… ู‡ุฐุง ุจุนุฏ ุงู„ู€ data ุฏู‡ ู‡ูŠุช ุจุนุฏ
648
+
649
+ 163
650
+ 00:12:28,930 --> 00:12:32,010
651
+ zero ูˆูˆุงุญุฏ ุนู„ู‰ ูˆุงุญุฏ ู‡ูŠุญุตู„ ูŠุฏูŠู„ูƒ unknown ูˆูŠุนู…ู„ ู„ูƒ
652
+
653
+ 164
654
+ 00:12:32,010 --> 00:12:37,210
655
+ ู…ุดุงูƒู„ ุชู…ุงู… ูˆุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนุงู…ู„ูŠุฉ ุฃู† ุงู„ู€ data bus ุงู„ู„ูŠ
656
+
657
+ 165
658
+ 00:12:37,210 --> 00:12:39,510
659
+ ุทุงู„ุน ู…ู† ุงู„ุฃูˆู„ุงู†ูŠุฉ ูˆู…ู† ุงู„ุชุงู†ูŠุฉ ูƒู„ู‡ ู…ุณุงุจู‚ูŠู† ู…ุน ุจุนุถู‡
660
+
661
+ 166
662
+ 00:12:39,510 --> 00:12:45,240
663
+ ูŠุนู†ูŠ bit zero shorted ู…ุดุจูƒ wire ูƒุฏู‡ ู…ุน bit zero of
664
+
665
+ 167
666
+ 00:12:45,240 --> 00:12:47,800
667
+ ุงู„ู€ chip ุงู„ุชุงู†ูŠ ู…ุน ุงู„ู€ zero ูˆุงู„ุชุงู„ุชุฉ ู…ุน ุงู„ู€ begin ูˆุงุญุฏ
668
+
669
+ 168
670
+ 00:12:47,800 --> 00:12:54,080
671
+ ู…ุน ูˆุงุญุฏ ู…ุน ูˆุงุญุฏ and so on ู…ุนู†ุงุชู‡ ูˆุงู„ู€ .. ูˆุงู„ู€ .. ูˆุงู„ู€
672
+
673
+ 169
674
+ 00:12:54,080 --> 00:12:57,380
675
+ ุงู„ู€ .. ูˆูƒู„ line ู…ู† data bus ูƒู„ bit ุงู„ู„ูŠ ุฒูŠ ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:12:57,380 --> 00:12:59,880
679
+ ู…ูˆุฌูˆุฏุฉ ุฌูˆุง ุงู„ู€ chip ุจูŠูƒูˆู† ููŠู‡ ุฌูˆุง tri-state buffer
680
+
681
+ 171
682
+ 00:12:59,880 --> 00:13:02,820
683
+ ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ enable line ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ enable line
684
+
685
+ 172
686
+ 00:13:02,820 --> 00:13:05,520
687
+ ุชู„ุงู‚ูŠ ุงู„ู€ design ุชุจุน ุงู„ู€ memory ุฃู†ู‡ ุจูŠุนู…ู„ุด enabling
688
+
689
+ 173
690
+ 00:13:05,520 --> 00:13:08,340
691
+ ูˆุงู„ู€ addressing ุงู„ู„ูŠ ู‡ูˆ ูƒู…ุงู† interface ุงู„ู…ุนู…ูˆู„
692
+
693
+ 174
694
+ 00:13:09,610 --> 00:13:15,330
695
+ ู„ู„ุจุงุต ุจู‚ู‰ ู…ูุฑูˆุถ ุฃู†ู‡ just one .. one .. one chip
696
+
697
+ 175
698
+ 00:13:15,330 --> 00:13:18,610
699
+ ุชุนู…ู„ driving ู„ู€ .. ู„ู„ุจุงุต ู…ุดุงูƒู„ ูˆู„ุง .. otherwise
700
+
701
+ 176
702
+ 00:13:18,610 --> 00:13:20,950
703
+ ุจุตูŠ ู„ุฃูƒูˆู† .. ูููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุฅุฐุง ูˆุงุญุฏ ุนู…ู„ driving
704
+
705
+ 177
706
+ 00:13:20,950 --> 00:13:23,590
707
+ ุงู„ุชุงู†ูŠ ู„ุงุฒู… ูŠูƒูˆู† ูˆุฅูŠู‡ ูŠุง ุนุดุงู†ุŸ high impedance ..
708
+
709
+ 178
710
+ 00:13:23,590 --> 00:13:25,370
711
+ high ู…ูˆุตู„ุฉ .. high ู…ูˆุตู„ุฉ .. ู‡ุฐุง ูุงูŠุฏุฉ ุงู„ู€ high ูŠุง
712
+
713
+ 179
714
+ 00:13:25,370 --> 00:13:28,710
715
+ ุนุดุงู†
716
+
717
+ 201
718
+ 00:14:54,390 --> 00:15:00,710
719
+ recompilation ูˆ simulation ู…ู† ุฃูˆู„ ูˆุฌุฏูŠุฏ ุทูŠุจ ู„ูˆ
720
+
721
+ 202
722
+ 00:15:00,710 --> 00:15:04,860
723
+ ูุงู†ุฏูŠ standard logic signal was driven by more than
724
+
725
+ 203
726
+ 00:15:04,860 --> 00:15:08,680
727
+ two sources ุฃูƒุซุฑ ู…ู† two sources ููŠ ุงู„ุญุงู„ุฉ ุงู„ุนุงุฏูŠ ูƒุฏู‡
728
+
729
+ 204
730
+ 00:15:08,680 --> 00:15:12,100
731
+ ุจูŠูˆุฌุฏ ุงู„ู‚ูŠู…ุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุจุงุณุชุฎุฏุงู… ุงู„ function ุงู„ู„ูŠ
732
+
733
+ 205
734
+ 00:15:12,100 --> 00:15:21,560
735
+ ูุงุชุช ุจูŠุจุซู„
736
+
737
+ 206
738
+ 00:15:21,560 --> 00:15:24,220
739
+ ุงู„ function ููŠ ุงู„ two pairs ุงู„ุฃูˆู„ุงู†ูŠูŠู† ุจุชุทู„ุน value
740
+
741
+ 207
742
+ 00:15:24,220 --> 00:15:28,020
743
+ ุงู„ู„ูŠ ุทู„ุนุช ู…ุน ุงู„ source ุงู„ุซุงู„ุซ ุจุชุทู„ุน value ุฃุตู„ุง
744
+
745
+ 208
746
+ 00:15:28,020 --> 00:15:31,660
747
+ ู„ุบุงูŠุฉ ู…ุง ูŠุฎู„ุตูˆุง ูƒู„ู‡ู… ุฃู† ุงู„ final ู‡ูŠ ุงู„ final ูˆ ู…ุด
748
+
749
+ 209
750
+ 00:15:31,660 --> 00:15:34,680
751
+ ู‡ุชูุฑู‚ ููŠ ุงู„ุชุฑุชูŠุจ ู„ุฃู† ู‡ูˆ ูƒู†ุช ู‚ุงุฑู† ุจุงู„ุขุฎุฑ ูƒู†ุช ุจู‚ู‰
752
+
753
+ 210
754
+ 00:15:34,680 --> 00:15:38,200
755
+ ูู…ุด .. ู…ุด ู‡ุชูุฑู‚ ููŠ ุงู„ุชุฑุชูŠุจ ู…ุซู„ุง ุฅุฐุง ุนู…ู„ุช ุฃูˆู„ ุงุชู†ูŠู†
756
+
757
+ 211
758
+ 00:15:38,200 --> 00:15:41,380
759
+ ุฃูˆ ุฅุฐุง ุนู…ู„ุช ุขุฎุฑ ุงุชู†ูŠู† ู…ุน ุงู„ุฃูˆู„ ุฃูˆ ุฃูˆู„ ุงุชู†ูŠู† ู…ุน
760
+
761
+ 212
762
+ 00:15:41,380 --> 00:15:46,080
763
+ ุงู„ุฃุฎุฑูŠู† ู…ุด ู‡ุชุทู„ุน ู†ุชูŠุฌุฉ ู…ุฎุชู„ูุฉุŸ ู„ุง ู…ุด ู‡ุชุทู„ุน ู…ุฎุชู„ูุฉ
764
+
765
+ 213
766
+ 00:15:46,080 --> 00:15:53,640
767
+ try it ูˆุงุญุฏ ุจู„ุฏ ู…ุด ู‡ุชุทู„ุน ู…ุฎุชู„ูุฉ ู‡ูˆ ุจูŠุจุฏุฃ ู…ู† ุงู„ู„ูŠ ู‡ูˆ
768
+
769
+ 214
770
+ 00:15:53,640 --> 00:15:56,460
771
+ ุงู„ุดู…ุงู„ ู„ูƒู† ุญุชู‰ ู„ูˆ ู‡ูŠ ุงู„ุชุฑุชูŠุจ follow ุงู„ table ุญุทู„ูƒ
772
+
773
+ 215
774
+ 00:15:56,460 --> 00:15:59,820
775
+ ููŠ ุงู„ุจูŠุช at some examples ุงู„ู…ูุฑูˆุถ ูŠุฌูŠู„ูƒ ู†ูุณ ุงู„
776
+
777
+ 216
778
+ 00:15:59,820 --> 00:16:03,880
779
+ result ูุงู„ู„ูŠ ุจูŠุตูŠุฑ ุจุงุฎุฏ ุฃูˆู„ two values ุจูŠุฌูŠุจ
780
+
781
+ 217
782
+ 00:16:03,880 --> 00:16:08,340
783
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ุงู„ู„ูŠ ุทู„ุน ู…ุน ุงู„ value ุงู„ุซุงู„ุซุฉ ุจูŠุฌูŠุจ
784
+
785
+ 218
786
+ 00:16:08,340 --> 00:16:11,180
787
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ุฌุฏูŠุฏุฉ ุงู„ุฌุฏูŠุฏุฉ ู…ุน ุงู„ุฑุงุจุน ุนู† ุดุบู„ู‡ ู„ุบุงูŠุฉ ู…ุง
788
+
789
+ 219
790
+ 00:16:11,180 --> 00:16:14,380
791
+ ูŠู…ุฑ ุนู„ู‰ ูƒู„ S ุนู„ู‰ ูƒู„ S ุจูŠูƒูˆู† S ุฎู„ุงุต ุงุนู…ู„ solution
792
+
793
+ 220
794
+ 00:16:14,380 --> 00:16:16,940
795
+ to just one S one value ู‡ูŠ ุงู„ value ุงู„ู†ู‡ุงุฆูŠุฉ ู„ู„
796
+
797
+ 221
798
+ 00:16:16,940 --> 00:16:17,200
799
+ signal
800
+
801
+ 222
802
+ 00:16:20,420 --> 00:16:25,740
803
+ ุทูŠุจ ู„ูˆ ูุงู† ุฏูŠ port ุงู„ mode ุชุจุนู‡ in out ุจูŠุนู…ู„
804
+
805
+ 223
806
+ 00:16:25,740 --> 00:16:28,280
807
+ driving ู„ู„ signal ูˆ ุงู„ signal ู‡ุฐูŠ is driven by
808
+
809
+ 224
810
+ 00:16:28,280 --> 00:16:33,840
811
+ other ports ุงู„ value ุงู„ู„ูŠ ุฃู†ุช ุจุชุฏูŠู‡ุง ู„ู„ port ุงู„
812
+
813
+ 225
814
+ 00:16:33,840 --> 00:16:38,620
815
+ assignment statement ู‡ูŠ ุงู„ู„ูŠ ุจุชุทู„ุน ุนู„ู‰ ุงู„ port ู‡ูŠ
816
+
817
+ 226
818
+ 00:16:38,620 --> 00:16:41,040
819
+ ุงู„ู„ูŠ ุงู„ port ุจูŠุนู…ู„ู‡ุง ุงู„ driving ุจูŠุนู…ู„ driving ุงู„
820
+
821
+ 227
822
+ 00:16:41,040 --> 00:16:44,900
823
+ port ุจุงู„ู‚ูŠู…ุฉ ู‡ุฐูŠ ูŠุนู†ูŠ ู„ูˆ ุนู†ุฏูƒ port ู†ูˆุน ูˆ ู‚ู„ู†ุง
824
+
825
+ 228
826
+ 00:16:44,900 --> 00:16:49,190
827
+ ููŠู‡ in out ู…ุด ู‡ูŠูƒ ูˆู„ุง ู‚ุจู„ ู‡ูŠูƒ ู„ูˆ ุฃู†ุช ู‚ุฏู‘ูŠุช ู„ู„ port
828
+
829
+ 229
830
+ 00:16:49,190 --> 00:16:53,630
831
+ ู‡ุฐุง some value ุจู‚ุณู…ุช statement ูุจูŠุตูŠุฑ ุงู„ driver is
832
+
833
+ 230
834
+ 00:16:53,630 --> 00:16:56,610
835
+ driving ุงู„ output ู‡ุฐุง ุจุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุฃู†ุช ู‚ุฏู‘ูŠุชู„ู‡
836
+
837
+ 231
838
+ 00:16:56,610 --> 00:17:00,750
839
+ ุฅูŠุงู‡ ู„ูƒู† ู„ูˆ ุฃู†ุช ุจุฏูƒ ุชู‚ุฑุง ู…ู†ู‡ ููŠ ุงู„ุญู‚ูŠู‚ุฉ ุฅูŠุด ุงู„ู„ูŠ
840
+
841
+ 232
842
+ 00:17:00,750 --> 00:17:06,710
843
+ ุจุชุทู„ุน ุจู…ุง ุฃู†ู‡ in output ุงู„ value ุจุชู‚ุฑุงู‡ุง ู…ู†ู‡ ู‡ูŠ ุงู„
844
+
845
+ 233
846
+ 00:17:06,710 --> 00:17:09,890
847
+ solution ุชุจุน ุงู„ value ุงู„ู„ูŠ ุชุญุช ุงู„ assignment ุฒุงุฆุฏ
848
+
849
+ 234
850
+ 00:17:09,890 --> 00:17:12,290
851
+ ุงู„ value ุงู„ุฃุฎุฑู‰ ุงู„ู„ูŠ driven by ุงู„ other signals
852
+
853
+ 235
854
+ 00:17:12,290 --> 00:17:14,230
855
+ ุทุจุนุง
856
+
857
+ 236
858
+ 00:17:15,790 --> 00:17:18,630
859
+ ู„ุฃู† ุงู„ gate ุงู„ in ูˆ ุงู„ out ุทุงู„ุน ุจุฑุง ูˆ ููŠ signals
860
+
861
+ 237
862
+ 00:17:18,630 --> 00:17:21,690
863
+ ุฃุฎุฑู‰ ู…ุด ุณุจุงูƒูŠู† ู…ุนุงู‡ุง ููŠ drivers ุฃุฎุฑู‰ ุฃูŠ driving is
864
+
865
+ 238
866
+ 00:17:21,690 --> 00:17:25,050
867
+ the same pin ู…ุซู„ ุงู„ in and out ู‡ุฐุง port ูŠุนู†ูŠ ุทุงู„ุน
868
+
869
+ 239
870
+ 00:17:25,050 --> 00:17:28,970
871
+ ุจุฑุง ุฅุฐุง ุฃู†ุช ุนู…ู„ุช assignment ุฅุฐุง ุงู„ assignment ู‡ุฐู‡
872
+
873
+ 240
874
+ 00:17:28,970 --> 00:17:31,610
875
+ ู‡ูŠ driving ู„ู„ signal ุงู„ู„ูŠ ุจุฑุง ุจุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุฃู†ุช
876
+
877
+ 241
878
+ 00:17:31,610 --> 00:17:34,730
879
+ ุนู…ู„ุช assignment ู„ูƒู† ู„ุณู‡ ู‡ุฐู‡ ุงู„ู„ูŠ ุจุฏูƒ ุชุฌุฑุงู‡ุง ุงู„
880
+
881
+ 242
882
+ 00:17:34,730 --> 00:17:38,430
883
+ gate ุฃู†ุช ู…ุด ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ุชุฌุฑุงู‡ุง ู„ูˆ ุจุฏูƒ ุชุฌุฑุงู‡ุง
884
+
885
+ 243
886
+ 00:17:38,430 --> 00:17:40,650
887
+ ุฅุฐุง ููŠ signals ุฃุฎุฑู‰ ุฃูŠ driving the same port ู‡ุฐุง
888
+
889
+ 244
890
+ 00:17:40,650 --> 00:17:43,330
891
+ ุณุงุนุฉ ุงู„ resource ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุทู„ุนุช ู…ู† ุงู„ port
892
+
893
+ 245
894
+ 00:17:43,330 --> 00:17:48,950
895
+ ุฌุงุก ู„ู„ุชุงู†ูŠู† ู‡ูŠ ุงู„ final final value ูˆ ูƒู†ุง ู†ุชูƒู„ู… ุนู„ู‰
896
+
897
+ 246
898
+ 00:17:48,950 --> 00:17:57,130
899
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ู‚ุจู„ ูƒุฏู‡ ู„ sometime ู…ุงุดูŠ ุงู„ุญุงุฌุฉ ู„ูƒู†
900
+
901
+ 247
902
+ 00:17:57,130 --> 00:18:05,490
903
+ ู„ูˆ ุนู†ุฏูƒ ุงู„ port ุฃูˆ buffer buffer
904
+
905
+ 248
906
+ 00:18:05,490 --> 00:18:11,470
907
+ ูŠุนู†ูŠ output port ู„ูƒู† ูŠูุฑุฌ ุงู†ู‡ internally ููŠ
908
+
909
+ 249
910
+ 00:18:11,470 --> 00:18:15,410
911
+ feedback ุฃู†ุช ู…ุงุฎุฏู‡ ุฌูˆุงู†ูŠูˆ ู†ุงูˆู‰ ุชุณุชููŠุฏ ู…ู†ู‡ ููŠ ุงู„
912
+
913
+ 250
914
+ 00:18:15,410 --> 00:18:17,470
915
+ design ุจุงู„ุฐุงุช ู„ูˆ ูƒุงู† ููŠู‡ sequential part ุนู†ุฏูƒ
916
+
917
+ 251
918
+ 00:18:17,470 --> 00:18:22,750
919
+ ุชู…ุงู…ุŸ ู„ูƒู† ู‡ูˆ still it is ุฅูŠุดุŸ out ูŠุนู†ูŠ ู…ู† ุจุฑุง
920
+
921
+ 252
922
+ 00:18:22,750 --> 00:18:25,390
923
+ ู…ุง ุชู‚ุฏุฑุด ุชุฏุฎู„ ุนู† ุทุฑูŠู‚ู‡ ุฅูŠุด ุงู„ู„ูŠ ู‡ูˆ input ู…ู† ุฒูŠ ุงู„
924
+
925
+ 253
926
+ 00:18:25,390 --> 00:18:31,850
927
+ in ุฃูˆ ุงู„ out ุชู…ุงู…ุŸ ููŠ ุงู„ุญุงู„๏ฟฝ๏ฟฝ ู‡ุฐู‡ ุงู„ buffer ุฅุฐุง ุฃู†ุช
928
+
929
+ 254
930
+ 00:18:31,850 --> 00:18:35,190
931
+ ู‚ุฏูŠุชู„ู‡ ุงู„ buffer port ุฅุฐุง ู‚ุฏูŠุชู„ู‡ ุนู…ู„ุชู„ู‡ assignment
932
+
933
+ 255
934
+ 00:18:35,190 --> 00:18:38,590
935
+ ุงู„ value ุงู„ู„ูŠ is driven ุจุฑุง ู‡ูŠ ุงู„ value ุจุชุงุนุช ุงู„
936
+
937
+ 256
938
+ 00:18:38,590 --> 00:18:42,770
939
+ assignment ุชู…ุงู…ุŸ ู„ุง ูŠูˆุฌุฏ ุฃุดูƒุงู„ูŠุฉ ู…ุซู„ ุงู„ in output
940
+
941
+ 257
942
+ 00:18:42,770 --> 00:18:45,630
943
+ ุจูŠุนู…ู„ ุงู„ driving ุจุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ ู„ูƒู† ู„ูˆ ุฌุฑูŠุช ู…ู†ู‡
944
+
945
+ 258
946
+ 00:18:45,630 --> 00:18:50,070
947
+ ู†ูุณ ุงู„ value ุงู„ู„ูŠ ุนู…ู„ุชู‡ุง ุฃุตู„ุง ู‡ูŠ ุงู„ value ุงู„ู„ูŠ
948
+
949
+ 259
950
+ 00:18:50,070 --> 00:18:55,490
951
+ ุจุชุฌุฑู‡ุง ุชู…ุงู… ู„ุฃู† ุจูุฑ ุนุงู…ู„ุฉ ุงู„ feedback ุนู…ู„ูŠุฉ ุฅูŠุด
952
+
953
+ 260
954
+ 00:18:55,490 --> 00:18:57,630
955
+ ุงู†ุชุฑุงู„ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุฅูŠู‡ ู†ูุณ ุงู„ value ุงู„ู„ูŠ ุจุชุฌุฑู‡ุง
956
+
957
+ 261
958
+ 00:18:57,630 --> 00:19:03,970
959
+ ูˆุงุถุญุŸ okay ู…ุงุดูŠ
960
+
961
+ 262
962
+ 00:19:03,970 --> 00:19:12,050
963
+ ุนูŠุจ ุงู„ standard logic ุฃู† ู„ูˆ ุฃู†ุช ุดูˆูŠุฉ ู…ู† ุบูŠุฑ ู‚ุตุฏูƒ
964
+
965
+ 263
966
+ 00:19:12,050 --> 00:19:17,930
967
+ ุนู…ู„ุช ุงู„ู„ูŠ ู‡ูˆ driving ู„ signal ุฃูƒุซุฑ ู…ู† driver ูˆ ุฃู†ุช
968
+
969
+ 264
970
+ 00:19:17,930 --> 00:19:22,530
971
+ ุจุฏูƒ ุชุดูŠูƒ ุณุงุนุชู‡ุง it is not detected ู„ุฃู† ุงู„
972
+
973
+ 265
974
+ 00:19:22,530 --> 00:19:26,670
975
+ simulator ู‡ูŠุชุตุฑู ู‡ูŠุนู…ู„ solution ุตุญ ูˆู„ุง ู„ูˆ ุฃู†ุช
976
+
977
+ 266
978
+ 00:19:26,670 --> 00:19:30,130
979
+ ู…ุณุชุฎุฏู… ุงู„ signal ุตุญ ุฏู‡ logical ูˆ ููŠ design ุฎุทุฃ
980
+
981
+ 267
982
+ 00:19:30,130 --> 00:19:33,590
983
+ ุนู…ู„ุช ู„ู„ statement ู„ู„ signal ุฃูƒุซุฑ ู…ู† assignment ุตุงุฑ
984
+
985
+ 268
986
+ 00:19:33,590 --> 00:19:37,980
987
+ ูƒุงู… driver ุตุงุฑ ุฃูƒุซุฑ ู…ู† driver ู„ุฃ ู…ุงููŠุด ู…ุดูƒู„ุฉ ุนู†ุฏ ุงู„
988
+
989
+ 269
990
+ 00:19:37,980 --> 00:19:40,460
991
+ simulator ูˆ ุงู„ compiler ู…ุงููŠุด ุฃูŠ ุฃุดูƒุงู„ูŠุฉ ู‡ูŠุนู…ู„
992
+
993
+ 270
994
+ 00:19:40,460 --> 00:19:43,760
995
+ solution ูŠุนู†ูŠ ูˆุด ู†ูˆุนู‡ุŸ standard logic ูˆู…ุนุฑูู„ู‡ ู‡ุฐุง
996
+
997
+ 271
998
+ 00:19:43,760 --> 00:19:48,200
999
+ ุงู„ result ูƒู„ู†ุง ุจุฃู†ู‡ ู„ูˆ ูƒุงู† you standard logic
1000
+
1001
+ 272
1002
+ 00:19:48,200 --> 00:19:53,380
1003
+ ู…ุงููŠุด ุฃุดูƒุงู„ูŠุฉ ู„ุฃู† ู‡ุฐุง ู…ุง ู‡ูˆ ุงู„ result ู‡ู‚ูˆู„ูƒ ู„ุง
1004
+
1005
+ 273
1006
+ 00:19:53,380 --> 00:19:56,660
1007
+ ุฅู„ุญู‚ ุงู„ compiler ุฃู†ุช you are driving the same
1008
+
1009
+ 274
1010
+ 00:19:56,660 --> 00:20:01,840
1011
+ signal ู…ู† ุฃูƒุซุฑ ู…ู† source ูˆ ุงู„ U logic ู…ุงู„ูˆุด result
1012
+
1013
+ 275
1014
+ 00:20:01,840 --> 00:20:05,780
1015
+ function ุชู…ุงู… ู it will be it will be yes ุงู„
1016
+
1017
+ 276
1018
+ 00:20:05,780 --> 00:20:09,880
1019
+ detected okay ู„ูƒู† ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ู‡ูŠูƒ ุชุนุงูˆู† ุงู„ุฃูŠุงุช
1020
+
1021
+ 277
1022
+ 00:20:09,880 --> 00:20:13,640
1023
+ ุจุงู„ุฅูŠู‡ ูŠุนู†ูŠ ุจูŠูˆุตู„ ุนู„ูŠู†ุง ู†ุณุชุฎุฏู… ุงู„ standard logic
1024
+
1025
+ 278
1026
+ 00:20:13,640 --> 00:20:18,760
1027
+ ุจุฏู„ ุงู„ U logic ุจุฏู„ ุงู„ standard U logic ุญุชู‰ ู„ูˆ
1028
+
1029
+ 279
1030
+ 00:20:18,760 --> 00:20:22,900
1031
+ ุงู„ุดูŠุก ุฏู‡ ุฃู†ุช ุฏุงุฆู…ุง ู‡ุชุฏูŠู‡ุง single source ุฏุงุฆู…ุง ู„ูŠุดุŸ
1032
+
1033
+ 280
1034
+ 00:20:22,900 --> 00:20:27,940
1035
+ ู„ุฃู† ุจู‚ูˆู„ูƒ ู‡ู… ุจุทู„ุจูˆุง ูŠุนู†ูŠ ุนุงู…ู„ูŠู† ุญุณุงุจู‡ู… ุฃู†ู‡ ุงู„ ..
1036
+
1037
+ 281
1038
+ 00:20:27,940 --> 00:20:31,080
1039
+ ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆุง simulators ูŠุนู…ู„ูˆุง automation ู„
1040
+
1041
+ 282
1042
+ 00:20:31,080 --> 00:20:33,580
1043
+ simulators ุนู„ู‰ ุงุนุชุจุงุฑ ุงู„ standard logic type ู‡ูˆ
1044
+
1045
+ 283
1046
+ 00:20:33,580 --> 00:20:37,620
1047
+ ุงู„ู„ูŠ .. ู‡ูˆ ุงู„ู„ูŠ ุจูŠุณุชุฎุฏู…ุŒ ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆุง design
1048
+
1049
+ 284
1050
+ 00:20:37,620 --> 00:20:41,790
1051
+ ู„ simulators ุจูŠุนู…ู„ูˆุง automation ู„ simulator ูู‚ุท ู„ุฃูŠ
1052
+
1053
+ 285
1054
+ 00:20:41,790 --> 00:20:46,630
1055
+ data type ุจูŠุนู…ู„ูˆุด ุญุณุงุจ ู…ูŠู† ุงู„ standard u logic
1056
+
1057
+ 286
1058
+ 00:20:46,630 --> 00:20:48,990
1059
+ ู„ูŠู‡ุŸ ู„ูƒ ุชุณุชุฎุฏู… design ุชุจุนูƒ standard logic ูˆ ุงุญู†ุง
1060
+
1061
+ 287
1062
+ 00:20:48,990 --> 00:20:52,350
1063
+ ูุนู„ุง ู‡ู†ู…ุดูŠ ุนู„ู‰ ุงู„ trend ู‡ุฐูŠ ู‡ู†ุณุชุฎุฏู… ุฅูŠุด ุงู„ู„ูŠ ู‡ูˆ ุงู„
1064
+
1065
+ 288
1066
+ 00:20:52,350 --> 00:21:00,450
1067
+ standard logic data type ุทูŠุจ ุทุจุนุง ุงุญู†ุง ู…ู† ุงู„ุชุณุนุฉ
1068
+
1069
+ 289
1070
+ 00:21:00,450 --> 00:21:05,400
1071
+ ู‚ุงุนุฏุฉ ู‡ุฏูˆู„ ุฅูŠุด ุงู„ู„ูŠ ุจูŠู‡ู…ู†ุง ูˆ ุฅูŠุด ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ู… ุนุดุงู†
1072
+
1073
+ 290
1074
+ 00:21:05,400 --> 00:21:08,840
1075
+ ู†ุนู…ู„ description which can be synthesized ูŠุนู†ูŠ
1076
+
1077
+ 291
1078
+ 00:21:08,840 --> 00:21:15,400
1079
+ ู†ุญูˆู„ู‡ ู„ู‡ุฏูˆุก ูˆู†ุญุทู‡ ููŠ PLD ุงูˆ FPGA ุงูˆ whatever ุทุจุนุง
1080
+
1081
+ 292
1082
+ 00:21:15,400 --> 00:21:18,260
1083
+ ุฃูƒูŠุฏ ุงู„ values ููŠ ุงู„ assignment ู‡ู†ุณุชุฎุฏู… ุงู„ zero ูˆ
1084
+
1085
+ 293
1086
+ 00:21:18,260 --> 00:21:23,120
1087
+ ุงู„ ูˆุงุญุฏ ุฃูˆ ุงู„ .. ุฃูƒูŠุฏ ุงู„ zero ู„ูŠู‡ุงุด ุฃู† ู‡ูˆ ุงู„
1088
+
1089
+ 294
1090
+ 00:21:23,120 --> 00:21:26,480
1091
+ fossil zero and ุงู„ fossil one ูˆูƒู…ุงู† you can
1092
+
1093
+ 295
1094
+ 00:21:26,480 --> 00:21:30,210
1095
+ assign don't care ู„ู„ author ู„ูˆ ุจุฏูƒุจู‚ูˆู„ู†ุง for some
1096
+
1097
+ 296
1098
+ 00:21:30,210 --> 00:21:32,430
1099
+ input combinations ู…ู† ุจุฑุง ู…ุฑุฉ ุชูƒูˆู† ุนู†ุฏูƒ ุงู„ output
1100
+
1101
+ 297
1102
+ 00:21:32,430 --> 00:21:36,330
1103
+ is don't care ู you can assign don't care ู‡ูŠ ุชู„ุชุฉ
1104
+
1105
+ 298
1106
+ 00:21:36,330 --> 00:21:43,370
1107
+ ู‡ู†ุณุชุฎุฏู… ุฃูƒูŠุฏ ูŠุงุณู… ุงู„ู„ูŠ ู‡ูˆ ุชู„ุชุฉ ุจุงู„ู†ุณุจุฉ ู„ู„ .. ู„ู„
1108
+
1109
+ 299
1110
+ 00:21:43,370 --> 00:21:46,610
1111
+ post ู„ูˆ ุฃู†ุช ุจุชุนู…ู„ structural design ุงู„ top level
1112
+
1113
+ 300
1114
+ 00:21:46,610 --> 00:21:49,130
1115
+ entity ุทุจุนุง ู‡ูŠูƒูˆู† ู‡ู†ุง input ูˆ output ูˆ ูƒุฐุง ู…ุดูƒู„ุฉ
1116
+
1117
+ 301
1118
+ 00:21:49,130 --> 00:21:54,910
1119
+ ู„ุฃู† ุฅุฐุง ุงู„ mode out ุงูˆ buffer ุฃูˆ in out ู…ู…ูƒู† ู†ุถูŠู ุงู„
1120
+
1121
+ 302
1122
+ 00:21:54,910 --> 00:22:01,060
1123
+ high impedance ู‡ูŠ ุตุงุฑ ูƒุงู…ุŸ ุฃุฑุจุนุฉ values ุชู…ุงู…ุŸ ู„ูƒู†
1124
+
1125
+ 303
1126
+ 00:22:01,060 --> 00:22:06,540
1127
+ ู…ุด ู‡ูŠุณุชุฎุฏู… ู„ุง high ูˆู„ุง low ู„ุฃู† ู‡ุฏูˆู„ ุงุณุชุฎุฏู…ูˆุง ูŠุนู†ูŠ
1128
+
1129
+ 304
1130
+ 00:22:06,540 --> 00:22:10,420
1131
+ ู…ุง ูŠุณุชุฎุฏู…ูˆุด ู…ุน ุงู„ PLDs ุชู…ุงู…ุŸ ุญุงู„ูŠุง ุจุชุตุญู‰ ุงุณุชุฎุฏุงู…
1132
+
1133
+ 305
1134
+ 00:22:10,420 --> 00:22:13,540
1135
+ ูŠุงุด ุงู„ู„ูŠ ู‡ูŠ ุฅุฐุง ุงู„ู„ูŠ ูŠุงุด ุงู„ู„ูŠ ู‡ูŠ ุงู„ zero ูˆ ุงู„ ูˆุงุญุฏ
1136
+
1137
+ 306
1138
+ 00:22:13,540 --> 00:22:17,860
1139
+ ุถู…ู† ุงู„ care ูˆ ุงู„ high impedance ู‡ูŠ ุฃุฑุจุน ูˆ ุฎู„ุตู†ุง ู…ู†
1140
+
1141
+ 307
1142
+ 00:22:17,860 --> 00:22:23,040
1143
+ ุงู„ H ูˆ ุงู„ L ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ ุณุช ุชู…ุงู…ุŸ
1144
+
1145
+ 308
1146
+ 00:22:25,510 --> 00:22:32,650
1147
+ ุงู„ X ุจุชุธู‡ุฑ ู„ูƒ ุฃุซู†ุงุก ุงู„ simulation ุตุญุŸ ู„ูˆ ุฃูƒุซุฑ ู…ู†
1148
+
1149
+ 309
1150
+ 00:22:32,650 --> 00:22:38,390
1151
+ ูˆ ู‡ูŠ indication ู„ error ูˆ ู†ูุณ ุงู„ H ู‡ูŠ ุงู„ weak ุจู…ุง
1152
+
1153
+ 310
1154
+ 00:22:38,390 --> 00:22:42,390
1155
+ ุฃู† ุงู„ weak unknown will not use ุงู„ H ู…ุด ู‡ูŠุธู‡ุฑ ู„ูƒ
1156
+
1157
+ 311
1158
+ 00:22:42,390 --> 00:22:47,610
1159
+ ุฃุตู„ุง ุงู„ W ู„ูƒู† ู…ู…ูƒู† ูŠุธู‡ุฑ ู„ูƒ ุงู„ X ู„ูˆ ุฃู†ุช ุนู…ู„ุช
1160
+
1161
+ 312
1162
+ 00:22:47,610 --> 00:22:53,090
1163
+ driving ู„ signal ุฃูƒุซุฑ ู…ู† source ุจุงู„ู†ุณุจุฉ ู„ู„ test
1164
+
1165
+ 313
1166
+ 00:22:53,090 --> 00:22:57,450
1167
+ benches ู‡ุชู„ุงู‚ูŠู†ุง ู†ุณุชุฎุฏู… ุงู„ zero ูˆ ุงู„ูˆุงุญุฏ ุนุดุงู† ู†ุนู…ู„
1168
+
1169
+ 314
1170
+ 00:22:57,450 --> 00:22:59,850
1171
+ assignment ู„ู„ input ุชุจุน ุงู„ unit under test
1172
+
1173
+ 315
1174
+ 00:22:59,850 --> 00:23:04,490
1175
+ ูˆุดูˆูู†ุงู‡ุง ู‚ุจู„ ูƒุฏู‡ ููŠ test benches ุชู…ุงู…ุŸ okay ู…ุงุดูŠ ูˆ
1176
+
1177
+ 316
1178
+ 00:23:04,490 --> 00:23:07,270
1179
+ ุชุงู„ุช ู…ุงุฑูŠู†ุง ุนู„ู‰ ุงู„ุชุณุนุฉ values ู…ุงููŠุด ุดูƒ ูˆ ู„ุง ุนู„ู‰
1180
+
1181
+ 317
1182
+ 00:23:07,270 --> 00:23:10,190
1183
+ ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ ุฅูŠุด ุงุญู†ุง ููŠ ุงู„ุฃุณุงุณุŸ ุงู„ zero ูˆ
1184
+
1185
+ 318
1186
+ 00:23:10,190 --> 00:23:13,690
1187
+ ุงู„ ูˆุงุญุฏ ูˆ don't care ูˆ ุงู„ high impedance ูˆ ุงู„
1188
+
1189
+ 319
1190
+ 00:23:13,690 --> 00:23:16,030
1191
+ uninitialized ุทุจุนุง ู„ุฃู† ุฌู…ูŠุน ุงู„ุณูŠู†ุงุช ุงู„ู„ูŠ ู…ุงุจุฏุฃุช
1192
+
1193
+ 320
1194
+ 00:23:16,030 --> 00:23:17,890
1195
+ ู…ุงุจุฏุฃุช ู…ุงุจุฏุฃุช ู…ุงุจุฏุฃุช ู…ุงุจุฏุฃุช ู…ุงุจุฏุฃุช
1196
+
1197
+ 321
1198
+ 00:23:17,890 --> 00:23:18,730
1199
+ ู…ุงุจุฏุฃุช ู…ุงุจุฏุฃุช
1200
+
1201
+ 322
1202
+ 00:23:38,830 --> 00:23:43,310
1203
+ ุงู„ู„ุชุฑุงู„ ุนุจุงุฑุฉ ุนู† some value
1204
+
1205
+ 323
1206
+ 00:23:44,420 --> 00:23:47,140
1207
+ ู…ู…ูƒู† ูŠูƒูˆู† character ู…ู…ูƒู† ูŠูƒูˆู† integer ู…ู…ูƒู† ูŠูƒูˆู†
1208
+
1209
+ 324
1210
+ 00:23:47,140 --> 00:23:50,020
1211
+ float ู…ู…ูƒู† ูŠูƒูˆู† time ู…ู…ูƒู† ูŠูƒูˆู† ุฃูŠ ุฅูŠุด ูŠุณู…ูŠู‡ ุฅูŠุด
1212
+
1213
+ 325
1214
+ 00:23:50,020 --> 00:23:55,080
1215
+ literal ู…ู…ูƒู† ุชุนู…ู„ assignment ู„ signal ุจุงู„ literal
1216
+
1217
+ 326
1218
+ 00:23:55,080 --> 00:24:02,660
1219
+ ู‡ุฐุง ุฃูˆ ุชุณุชุฎุฏู…ู‡ ููŠ expression ุนุดุงู†
1220
+
1221
+ 327
1222
+ 00:24:02,660 --> 00:24:07,680
1223
+ ูŠูƒูˆู† ุงู„ุงุณูŠ synthesizable ุงู„ literal ุฏูŠ ุงู„ู…ุณู…ูˆุญุฉ ุงู„
1224
+
1225
+ 328
1226
+ 00:24:07,680 --> 00:24:11,420
1227
+ character ุจู‚ูˆู„ู†ุง character character literal ูŠุนู†ูŠ
1228
+
1229
+ 329
1230
+ 00:24:11,420 --> 00:24:18,070
1231
+ ุจูŠูƒูˆู† ุฃูƒุซุฑ ุจุชุญุทู‡ุง between single quotes ุงู„
1232
+
1233
+ 330
1234
+ 00:24:18,070 --> 00:24:23,010
1235
+ enumeration literal ุชู…ุงู…ุŸ ู‡ุฐุง intelligibleุŒ string
1236
+
1237
+ 331
1238
+ 00:24:23,010 --> 00:24:27,930
1239
+ ุฅุดูŠ between double quotes ุฃูˆ ู†ู…ูˆุฑูƒ literalุŒ ุฅุดูŠ
1240
+
1241
+ 332
1242
+ 00:24:27,930 --> 00:24:31,670
1243
+ ุฑู‚ู… ุฒูŠ ุงู„ integers ู…ุซู„ุงุŒ okay ู‡ุฐูŠ ุฅูŠุดุŸ literalsุŒ
1244
+
1245
+ 333
1246
+ 00:24:31,670 --> 00:24:33,310
1247
+ ุฃูŠ ู‚ูŠู…ุฉ .. ุฃูŠ integer ุจู‚ู‰ ุงู„ู„ูŠ ุจูŠู‚ูˆู„ ู…ูŠุฉุŒ ู‡ุฐุง
1248
+
1249
+ 334
1250
+ 00:24:33,310 --> 00:24:35,470
1251
+ literalุŒ ุงู„ู…ูŠุฉุŒ ุชู…ุงู…ุŸ
1252
+
1253
+ 335
1254
+ 00:24:42,400 --> 00:24:44,820
1255
+ ูƒู†ุง ุดูˆูู†ุง ุงู„ letters ููŠ ุงู„ table ุงู„ู„ูŠ ูุงุชุช ู…ุด
1256
+
1257
+ 336
1258
+ 00:24:44,820 --> 00:24:46,420
1259
+ ุฑุฃูŠูƒูˆุง ู„ุฃ ุงู„ character letter ุจุงู„ุชุญุฏูŠุฏ ุงู„
1260
+
1261
+ 337
1262
+ 00:24:46,420 --> 00:24:51,040
1263
+ character letter ูƒุงู† ู…ูƒูˆู† ู…ู† ุนุฏุฏ ู…ู† ุงู„ characters
1264
+
1265
+ 338
1266
+ 00:24:51,040 --> 00:24:58,820
1267
+ 256 ู„ูƒู† ุงุญู†ุง ู‡ู†ุง ุจูŠุนู†ูŠู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ printable ุงู„ู„ูŠ
1268
+
1269
+ 339
1270
+ 00:24:58,820 --> 00:25:02,080
1271
+ ุฃู†ุช ู…ู…ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุชุทุจุนู‡ ุนุฏุฏู‡ ุฌุงูŠู„ูƒ ู…ูŠุฉ ูˆุงุญุฏ ูˆ ุชุณุนูŠู†
1272
+
1273
+ 340
1274
+ 00:25:02,080 --> 00:25:06,760
1275
+ character ูƒู†ุง ูƒูŠู ุชุนู…ู„ character letter ุฃู†ุง ุจุชุญุท
1276
+
1277
+ 341
1278
+ 00:25:06,760 --> 00:25:10,150
1279
+ ุงู„ character between ุฅูŠู‡ ุจูŠู† two single quotes
1280
+
1281
+ 342
1282
+ 00:25:10,150 --> 00:25:14,230
1283
+ ุฃู†ุง ุจูŠุณู…ูˆู‡ู… character ุฅูŠุด ุงู„ู„ูŠ ู‡ูˆ literal okay
1284
+
1285
+ 343
1286
+ 00:25:14,230 --> 00:25:19,270
1287
+ ู…ุงุดูŠ ู„ุฃู† ููŠ ุงู„ table ุงู„ู„ูŠ ูุงุชุช ุฅุฐุง ูุงูƒูŠู†ุง ูƒุงู†ุช
1288
+
1289
+ 344
1290
+ 00:25:19,270 --> 00:25:24,490
1291
+ 256 ุงู„ู„ูŠ ู‡ูŠ element ููŠ ุฌุฒุก ู…ู†ู‡ู… identifiers ุงู„ู„ูŠ
1292
+
1293
+ 345
1294
+ 00:25:24,490 --> 00:25:27,030
1295
+ ู…ุง ุงุนุชุจุฑูˆุด character literal ู…ุด ู‡ูŠูƒ ูˆู„ุง ุงู„ุจู„ุงูŠุฌูŠ ู‡ู…
1296
+
1297
+ 346
1298
+ 00:25:27,030 --> 00:25:32,570
1299
+ ุฅูŠุด character letters ุนุฏุฏู‡ู… ูƒุงู… ู…ูŠุฉ ูˆุงุญุฏ ูˆ ุชุณุนูŠู†
1300
+
1301
+ 347
1302
+ 00:25:37,210 --> 00:25:41,650
1303
+ ุงู„ innovation letter ุฏู‡ ู…ุด ุฌุฏูŠุฏ ุนู„ูŠู†ุง ุจุฑุถู‡ ุฃู…ุง ุฃู†ู‡
1304
+
1305
+ 348
1306
+ 00:25:41,650 --> 00:25:45,470
1307
+ character letter ุฒูŠ ุงู„ู„ูŠ ุนุฑูู†ุงู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ุฃูˆ ุฅูŠู‡
1308
+
1309
+ 349
1310
+ 00:25:45,470 --> 00:25:50,870
1311
+ ุงู„ููŠุฑูˆุณ ููŠ ุงุณู… ุงุณุชุฎุฏุงู… ูŠุนู†ูŠ ู„ู…ุง ุฌูŠู†ุง ุนุฑูู†ุง ุงู„ู…ุฑุฉ
1312
+
1313
+ 350
1314
+ 00:25:50,870 --> 00:25:55,630
1315
+ ุงู„ู„ูŠ ูุงุชุช innovation ุทูŠุจ ุฃูŠ element ููŠู‡ ุฃู…ุง ุฃู†ู‡ ุฅูŠู‡
1316
+
1317
+ 351
1318
+ 00:25:55,630 --> 00:26:01,390
1319
+ ุงู„ููŠุฑูˆุณ ุงุณู… ุงู„ู„ูŠ ุนู†ุฏูƒ ุจุชุฏูŠู‡ ุตุญ ุฃูˆ character letter
1320
+
1321
+ 352
1322
+ 00:26:04,110 --> 00:26:06,350
1323
+ ู…ู…ูƒู† ุงุณุชุฎุฏุงู… ุงู„ emotion letter ููŠ ุชุนุฑูŠู ุงู„ู„ูŠ ู‡ูˆ
1324
+
1325
+ 353
1326
+ 00:26:06,350 --> 00:26:12,150
1327
+ ุงู„ letter ุฃูˆ ู…ู…ูƒู† ุงุณุชุฎุฏุงู…ู‡ ููŠ ุงู„ assignment ุฒูŠ ู…ุง
1328
+
1329
+ 354
1330
+ 00:26:12,150 --> 00:26:15,970
1331
+ ู‡ู†ุดูˆู ูŠุนู†ูŠ ุจูŠูƒูˆู† object ุฃู†ุช ุนุงู…ู„ emotion type ูˆ
1332
+
1333
+ 355
1334
+ 00:26:15,970 --> 00:26:19,530
1335
+ ุนุงู…ู„ object ุงู„ู†ูˆุน ุชุจุน ู†ูˆุน ุงู„ emotion type ู‡ุฐุง ูˆ
1336
+
1337
+ 356
1338
+ 00:26:19,530 --> 00:26:21,930
1339
+ you want to assign ุงู„ object some value ุณุงุนุชู‡ุง ูŠ
1340
+
1341
+ 357
1342
+ 00:26:21,930 --> 00:26:24,130
1343
+ assign ุงู„ object value ู…ู† ุงู„ value ุชุจุน ุงู„ emotion
1344
+
1345
+ 358
1346
+ 00:26:24,130 --> 00:26:26,630
1347
+ type ุงู„ู„ูŠ ุฃู†ุช ู…ุนุฑูู‡ ู„ูˆ ุนู…ู„ุช ุบูŠุฑ ู‡ูŠูƒ ุจูŠุทู„ุน ุบู„ุท
1348
+
1349
+ 359
1350
+ 00:26:26,630 --> 00:26:33,290
1351
+ ุจูŠุฏูŠูƒ syntax error ุชู…ุงู…ุŸ ุงู‡ ุฏู‡ ู‡ูŠ ุจูŠุฏูŠูƒ semantics
1352
+
1353
+ 360
1354
+ 00:26:33,290 --> 00:26:33,550
1355
+ error
1356
+
1357
+ 361
1358
+ 00:26:51,260 --> 00:26:56,080
1359
+ ูƒู†ุง ุดูˆูู†ุง ุงู„ุชุนุฑูŠู ุชุจุน ุงู„ standard logic ูˆู‚ู„ู†ุง ุฃู†ู‡
1360
+
1361
+ 362
1362
+ 00:26:56,080 --> 00:27:02,300
1363
+ ุงู„ logic ุนุจุงุฑุฉ ุนู† simulation type ู‡ูˆ ู†ูˆุน ู…ู†
1364
+
1365
+ 363
1366
+ 00:27:02,300 --> 00:27:06,100
1367
+ example ู…ู† ุฃูˆ ู†ูˆุน ู…ู† simulation of character
1368
+
1369
+ 364
1370
+ 00:27:06,100 --> 00:27:13,830
1371
+ letters ู…ุด ู‡ูŠูƒ ู„ุฃู† ุฅุฐุง ุงู„ immigration type ู‚ู„ู†ุง
1372
+
1373
+ 365
1374
+ 00:27:13,830 --> 00:27:16,430
1375
+ ููŠู‡ at least one element ู…ู†ู‡ ุนุจุงุฑุฉ ุนู† immigration
1376
+
1377
+ 366
1378
+ 00:27:16,430 --> 00:27:20,030
1379
+ literalุŒ ุนุจุงุฑุฉ ุนู† character literalุŒ ููŠ ุงู„ุญุงู„ุฉ ุฏูŠ
1380
+
1381
+ 367
1382
+ 00:27:20,030 --> 00:27:22,850
1383
+ ูŠุนุชุจุฑ immigration ุฅูŠุดุŸ ูŠุนุชุจุฑ characterุŒ ูŠุนุชุจุฑ
1384
+
1385
+ 368
1386
+ 00:27:22,850 --> 00:27:26,230
1387
+ character ุฅูŠุดุŸ typeุŒ ูˆูุนู„ุง ู‡ูˆ ูƒุงู† ู…ูƒูˆู† ู…ู† ุชุณุนุฉ
1388
+
1389
+ 369
1390
+ 00:27:26,230 --> 00:27:28,290
1391
+ charactersุŒ ูƒู„ ูˆุงุญุฏุฉ between single quotesุŒ
1392
+
1393
+ 370
1394
+ 00:27:28,290 --> 00:27:31,190
1395
+ between two single quotesุŒ ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ ุงู„ู„ูŠ ุงุญู†ุง
1396
+
1397
+ 371
1398
+ 00:27:31,190 --> 00:27:33,310
1399
+ ุนุงุฑููŠู†ู‡ู…
1400
+
1401
+ 372
1402
+ 00:27:35,840 --> 00:27:39,360
1403
+ ูˆุงู„ุชุงู„ูŠ ู„ู…ุง ุฃู†ุช .. ุงู„ letter ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ zero
1404
+
1405
+ 373
1406
+ 00:27:39,360 --> 00:27:41,660
1407
+ between single quotes ู‡ูˆ ู…ุฎุชู„ู ู…ู† ุงู„ zero ุงู„ุนุงุฏูŠ
1408
+
1409
+ 374
1410
+ 00:27:41,660 --> 00:27:44,820
1411
+ ุงู„ูุงู„ุฏ ู…ู† ุบูŠุฑ quotes ู‡ุฐุง integer zero ุจูŠู†ู…ุง ู‡ุฐู‡
1412
+
1413
+ 375
1414
+ 00:27:44,820 --> 00:27:51,060
1415
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ character letter ุชู…ุงู…ุŸ ูˆู‡ุฐุง integer one
1416
+
1417
+ 376
1418
+ 00:27:51,060 --> 00:27:57,380
1419
+ ุจูŠู†ู…ุง ู‡ุฐู‡ ุงู„ character letter ู‡ูŠ ู…ุฎุชู„ูุฉ ุงู„
1420
+
1421
+ 377
1422
+ 00:27:57,380 --> 00:28:02,160
1423
+ constant ุนุจุงุฑุฉ ุนู† object ุจุชุฏูŠู„ู‡ int value ู…ุฑุฉ
1424
+
1425
+ 378
1426
+ 00:28:02,160 --> 00:28:06,110
1427
+ ูˆุงุญุฏุฉ ูˆ ููŠ ุงู„ุนุงุฏุฉ ุฃูˆ ููŠ ุงู„ุบุงู„ุจ ู„ู…ุง it is declared
1428
+
1429
+ 379
1430
+ 00:28:06,110 --> 00:28:12,510
1431
+ ุณุงุนุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ declaration ูˆ ุฎู„ุงู„ ุงู„ .. ุงู„ .. ุงู„
1432
+
1433
+ 380
1434
+ 00:28:12,510 --> 00:28:14,350
1435
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1436
+
1437
+ 381
1438
+ 00:28:14,350 --> 00:28:14,570
1439
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1440
+
1441
+ 382
1442
+ 00:28:14,570 --> 00:28:14,590
1443
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1444
+
1445
+ 383
1446
+ 00:28:14,590 --> 00:28:14,630
1447
+ ุงู„ .. ุงู„
1448
+
1449
+ 401
1450
+ 00:29:06,520 --> 00:29:08,660
1451
+ value ูˆ ุงู„ุชุงู„ูŠ it doesn't need ุงู„ู„ูŠ ู‡ูˆ ุงู„ memory
1452
+
1453
+ 402
1454
+ 00:29:08,660 --> 00:29:14,480
1455
+ location ูˆ ุจุงู„ุฐุงุช ุงู„ constant ู„ูƒู† ุงู„ูุงุฆุฏุฉ ุชุจุนุชู‡ ุงู„ู„ูŠ
1456
+
1457
+ 403
1458
+ 00:29:14,480 --> 00:29:21,060
1459
+ ุฃูƒุจุฑ ู…ู† ู‡ูŠูƒ ุฃู†ู‡ ูŠุฌุจ ุฃู† ู„ูˆ ุฃู†ุช ู…ุนุฑูู‡ ู…ุด .. ู…ุด
1460
+
1461
+ 404
1462
+ 00:29:21,060 --> 00:29:21,420
1463
+ constant
1464
+
1465
+ 405
1466
+ 00:29:24,450 --> 00:29:31,070
1467
+ ูˆ .. ูˆ ู„ูˆ ู…ุนุฑูู‡ ู…ุด .. ู…ุด constant ุณุงุนุชู‡ุง ู…ู…ูƒู† ุชู„ู‚ูŠ
1468
+
1469
+ 406
1470
+ 00:29:31,070 --> 00:29:36,370
1471
+ ุฃูŠ ู…ูƒุงู† ุฏุงุฎู„ ุงู„ุจุฑู†ุงู…ุฌ ูˆ ูŠุบูŠุฑ ุงู„ู‚ูŠู…ุฉ ุชุจุนุชู‡ ุตุญ ูˆ
1472
+
1473
+ 407
1474
+ 00:29:36,370 --> 00:29:38,990
1475
+ ูŠุบูŠุฑ ุงู„ู‚ูŠู…ุฉ ุชุจุนุชู‡ ููŠ ุฃู…ุงูƒู† ุนุฏูŠุฏุฉ ูˆ ุจุงู„ุชุงู„ูŠ ููŠ ุฃู…ุงูƒู†
1476
+
1477
+ 408
1478
+ 00:29:38,990 --> 00:29:40,830
1479
+ ูŠุฃุฎุฐ ุงู„ู‚ูŠู…ุฉ ุนุดุฑ ูˆ ุฃู…ุงูƒู† ุซุงู†ูŠุฉ ูŠุฃุฎุฐ ุงู„ู‚ูŠู…ุฉ ุนุดุฑูŠู† ูˆ
1480
+
1481
+ 409
1482
+ 00:29:40,830 --> 00:29:44,210
1483
+ ูŠุตุจุญ ุงู„ุฃุฎุจุท ู„ูƒู† ุฅุฐุง ู…ู† ุฃูˆู„ู‡ุง ุชุนุฑูู‡ constant ูุฃูŠ
1484
+
1485
+ 410
1486
+ 00:29:44,210 --> 00:29:46,030
1487
+ ู…ูƒุงู† ุจุชุญุงูˆู„ ุชุบูŠุฑู‡ุง ูˆูŠู‚ูˆู„ ู„ูŠ ุฃุฌุงู„ูŠ ุญุงุฌุฉ ุฃู†ุช ุจุชู‚ูˆู„ูŠ
1488
+
1489
+ 411
1490
+ 00:29:46,030 --> 00:29:50,370
1491
+ ุนู†ู‡ constant ู…ุนูŠ ู„ุง ู…ู† ุงุณู…ู‡ ุฃู†ุช ุจุชู‚ูˆู„ูŠ ุนู†ู‡ ู‡ูˆ ู…ุด
1492
+
1493
+ 412
1494
+ 00:29:50,370 --> 00:29:53,690
1495
+ constant ุดูˆูุช .. ุนุฑูุชุด ุงู„ู…ุนู†ู‰ .. ุงู„ู…ุนู†ู‰ ุงู„ูƒุจูŠุฑ
1496
+
1497
+ 413
1498
+ 00:29:53,690 --> 00:29:56,430
1499
+ ุชุจุนู‡ุง .. ุงู„ูุงุฆุฏุฉ ุงู„ูƒุจูŠุฑุฉ ุฏู‡ ุฅูŠ๏ฟฝ๏ฟฝุŸ ูŠุนู†ูŠ ุฅุฐุง ูƒู†ุช
1500
+
1501
+ 414
1502
+ 00:29:56,430 --> 00:29:57,970
1503
+ ู…ูˆูุฑ ู„ู‡ ุฃูƒูˆุงุฏ ุงู„ู†ูˆุฑ ูˆุงู„ูˆูƒุงุดู… ู…ุด ู‡ุฐุง ุงู„ุฌุงุฐุจูŠุฉ
1504
+
1505
+ 415
1506
+ 00:29:57,970 --> 00:30:00,710
1507
+ ุงู„ูƒุจูŠุฑุฉ ุนุดุงู† ุฃู†ุช ู„ูˆ ุบูŠุฑุช ููŠ ุงู„ code .. ุบูŠุฑุช ููŠ ุงู„
1508
+
1509
+ 416
1510
+ 00:30:00,710 --> 00:30:02,290
1511
+ code ุจูŠู‚ูˆู„ ู„ูŠ ุญุงุฌุฉ ุฃู†ุช .. ุฃู†ุช ู…ุด ุณุงุฎุฏ ู…ู† ุงู„ code
1512
+
1513
+ 417
1514
+ 00:30:02,290 --> 00:30:03,850
1515
+ constant ูˆ ู…ุด ุณุงุฎุฏ ู…ู†ู‡ ุฃู„ู ู…ุฑุฉ ููŠ ุงู„ code ุชุจุนูƒ ุน
1516
+
1517
+ 418
1518
+ 00:30:03,850 --> 00:30:07,290
1519
+ ุชุจุงุฑูƒ ุงู„ code constant ุฑูˆู…ูŠ ูƒูŠู ุฃู‚ูˆู„ ู„ูƒ ุจุชุบูŠุฑ ููŠู‡ุŸ
1520
+
1521
+ 419
1522
+ 00:30:07,290 --> 00:30:08,350
1523
+ ูŠุนู†ูŠ ู„ูˆ ุฎู„ู‚ุชู‡ ููŠู‡ ูŠุง ุฃุจูˆ ุงู„ุนุงู„ู… ู…ุด ุงู„ code
1524
+
1525
+ 420
1526
+ 00:30:08,350 --> 00:30:09,930
1527
+ constant ุณุงุนุงุช ุชุชุบูŠุฑ ูˆุฃู†ุช ู…ุด ุฏุงุฑูŠ .. ูŠุนู†ูŠ ุฃู†ุช ..
1528
+
1529
+ 421
1530
+ 00:30:09,930 --> 00:30:11,970
1531
+ ู‡ุชุดูˆูู‡ ูˆุฃู†ุช ููŠ ุฑุฃุณูƒ ุฃู† ุงู„ code constant ู„ูƒู† ู…ุด
1532
+
1533
+ 422
1534
+ 00:30:11,970 --> 00:30:13,910
1535
+ ุฌุงู‡ู„ ู‡ูŠ compile ุงู„ code constant ูˆ ุจุงู„ุชุงู„ูŠ ุจุชุชุฌู‡
1536
+
1537
+ 423
1538
+ 00:30:20,560 --> 00:30:23,020
1539
+ ูˆ ู‡ุฐุง ูุงูŠุฏุฉ ุงู„ consensus ููŠ ุงู„ .. ููŠ ุงู„ .. ููŠ ุงู„
1540
+
1541
+ 424
1542
+ 00:30:23,020 --> 00:30:31,180
1543
+ grammar languages ุชู…ุงู…ุŸ ุฃูˆูƒูŠ ู…ุงุดูŠ ูˆ
1544
+
1545
+ 425
1546
+ 00:30:31,180 --> 00:30:33,100
1547
+ ู…ู…ูƒู† ุชู†ุธุฑ ุฃู† ุฃู†ุช ุงู„ consensus ุนู„ูŠู‡ุง ูˆุงุจู‚ู‰ ุนู„ูŠู‡ุง
1548
+
1549
+ 426
1550
+ 00:30:33,100 --> 00:30:37,160
1551
+ ุทุจุนุง value ุงุณู…ู‡ุง some name ูˆ ู„ู‡ุง type
1552
+
1553
+ 427
1554
+ 00:30:39,880 --> 00:30:42,760
1555
+ ุทุจุนุง ุฒูŠ ู…ุง ุชุนุฑููŠู† ูŠุณู‡ู„ ู„ูƒ ุงู„ maintenance ู…ุด ู‡ูŠูƒ ูˆู„ุง
1556
+
1557
+ 428
1558
+ 00:30:42,760 --> 00:30:45,640
1559
+ ุจุฏู„ ู…ุง ุชุชุบูŠุฑ ููŠ ูƒุฐุง ู…ูƒุงู† just ููŠ ู…ูƒุงู† ุงู„ constant
1560
+
1561
+ 429
1562
+ 00:30:45,640 --> 00:30:51,060
1563
+ ุจุชุบูŠุฑ ู‚ูŠู…ุชู‡ ุจูŠูƒูˆู† ุฃุณู‡ู„ ู„ูƒ ุทุจุนุง ู‚ุจู„ ู…ุง ุชุณุชุฎุฏู… ุงู„
1564
+
1565
+ 430
1566
+ 00:30:51,060 --> 00:30:54,700
1567
+ constant must be declared ู…ุด ู‡ูŠูƒ ูˆู„ุง declared ุจุงู„
1568
+
1569
+ 431
1570
+ 00:30:54,700 --> 00:31:01,520
1571
+ syntax ุงู„ุชุงู„ุช ุทู„ุน ุดูˆู ูƒูŠู ุจุชู‚ูˆู„ู‡ constant ู…ู…ูƒู† ูƒุฏู‡
1572
+
1573
+ 432
1574
+ 00:31:01,520 --> 00:31:04,440
1575
+ constant at the same time ุฃูŠ fire list ู‡ู†ุง ูˆุจุนุฏูŠู†
1576
+
1577
+ 433
1578
+ 00:31:04,440 --> 00:31:08,040
1579
+ colon ุจุนุฏูŠู† ุจุชุญุฏุฏ type ุชุจุนู‡ ูˆ you initialize it
1580
+
1581
+ 434
1582
+ 00:31:08,040 --> 00:31:16,260
1583
+ ุจูŠุณุงูˆูŠ ูƒุฐุง ุชุฏูŠุฑ ุงู„ู‚ูŠู…ุฉ ุชุจุนุชู‡ ู„ูƒู† ู…ู…ูƒู† ููŠ ุงู„
1584
+
1585
+ 435
1586
+ 00:31:16,260 --> 00:31:21,120
1587
+ declaration ู…ุง ุชุนู…ู„ูˆุด initialization ููŠ ุงู„ุญุงู„ุฉ ุฏู‡
1588
+
1589
+ 436
1590
+ 00:31:21,120 --> 00:31:23,540
1591
+ .. ุงู„ุญุงู„ุฉ ุฏู‡ ุจูŠุตูŠุฑ .. ุจูŠุณู…ูŠ ุฅูŠุงู‡ default constant
1592
+
1593
+ 437
1594
+ 00:31:23,540 --> 00:31:28,760
1595
+ ูŠุนู†ูŠ ุงู„ constant ู…ุคุฌู„ ุชุญุฏูŠุฏ ู‚ูŠู…ุชู‡ ู…ุคุฌู„ู†ุง ุชุญุฏูŠุฏ
1596
+
1597
+ 438
1598
+ 00:31:28,760 --> 00:31:32,980
1599
+ ุฅูŠุงู‡ ู‚ูŠู…ุชู‡ ูˆู‡ุฐุง ุจูŠุตูŠุฑ ู…ุซู„ุง ูŠุนู†ูŠ ููŠ ุงู„ declarations
1600
+
1601
+ 439
1602
+ 00:31:32,980 --> 00:31:35,880
1603
+ ููŠ ุงู„ package ุจุชู‚ุฏุฑ ุชุนุฑู ุงู„ constant ูˆุจุนุฏ ูƒุฏู‡ ููŠ
1604
+
1605
+ 440
1606
+ 00:31:35,880 --> 00:31:39,610
1607
+ ุงู„ package body ู„ุงุฒู… ุชุฏูŠู„ู‡ ู‚ูŠู…ุฉ ุนุงุฏูŠุฉ ู„ุฃู† ุจุนุฏ ูƒุฏู‡
1608
+
1609
+ 441
1610
+ 00:31:39,610 --> 00:31:44,370
1611
+ ุจุชูƒูˆู† ููŠ ุงู„ body ุฃู†ู‡ุง ุจุชุณุชุฎุฏู… ุงู„ constant ุงู„ point
1612
+
1613
+ 442
1614
+ 00:31:44,370 --> 00:31:47,710
1615
+ ุฃู† ุชุฌู…ุนู‡ุง ู…ุง ุชุณุชุฎุฏู…ู‡ุง ููŠ ุงู„ุขุฎุฑ ู„ุงุฒู… ุชุดุชุบู„ ู„ุงุฒู… ุชุฏูŠู„ู‡
1616
+
1617
+ 443
1618
+ 00:31:47,710 --> 00:31:58,730
1619
+ value ู„ูƒู† once ู‚ุฏุชู„ู‡ value ู…ุง ูŠู†ูุนุด ูŠุชุบูŠุฑ ููŠู‡ ุดูˆู
1620
+
1621
+ 444
1622
+ 00:31:58,730 --> 00:32:04,710
1623
+ ุงู„ example ุงู„ุชุงู„ูŠ constant
1624
+
1625
+ 445
1626
+ 00:32:05,890 --> 00:32:10,910
1627
+ ุงู„ุณู…ุงุฆูŠ ุฅูŠุด high impedance ูƒูˆู„ูˆู†
1628
+
1629
+ 446
1630
+ 00:32:10,910 --> 00:32:16,430
1631
+ ุฅูŠุด ู†ูˆุน standard logic ุจูŠุณุงูˆูŠ z ุทุจ
1632
+
1633
+ 447
1634
+ 00:32:16,430 --> 00:32:23,970
1635
+ ุฅูŠุด ุงู„ scope ุชุจุน ุงู„ constant ุงู„ scope ุชุจุน ุงู„
1636
+
1637
+ 448
1638
+ 00:32:23,970 --> 00:32:27,910
1639
+ constant ุฒูŠ ุงู„ scope ุชุจุน ุงู„ signals ุฃูˆ ุงู„ variable
1640
+
1641
+ 449
1642
+ 00:32:27,910 --> 00:32:33,020
1643
+ ุฅุฐุง ููŠ variable ุฌุฏูƒ ุฃูˆ ูƒุฏู‡ ูŠุนู†ูŠ ู„ูˆ ู‡ูˆ ู…ุนุฑู ู…ุซู„ุง ููŠ
1644
+
1645
+ 450
1646
+ 00:32:33,020 --> 00:32:34,900
1647
+ ุงู„ู€ educational part ุชุจุน architecture ู…ุนู†ุงุชู‡ ู‡ูˆ ุงู„
1648
+
1649
+ 451
1650
+ 00:32:34,900 --> 00:32:37,960
1651
+ body ุชุจุน ู…ูŠู† ุงู„ architecture ููŠ ุงู„ู…ูƒุงู† ุงู„ู„ูŠ ู…ุนุฑู
1652
+
1653
+ 452
1654
+ 00:32:37,960 --> 00:32:44,080
1655
+ ููŠู‡ ุชู…ูˆู„ู‡ ุงู„ scope ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ constant ุงู„
1656
+
1657
+ 453
1658
+ 00:32:44,080 --> 00:32:48,360
1659
+ composite types composite
1660
+
1661
+ 454
1662
+ 00:32:48,360 --> 00:32:53,240
1663
+ ูŠุนู†ูŠ ุดูŠุก ู…ุฑูƒุจ ู…ู† ุฃูƒุซุฑ ู…ู† ุดูŠุก ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุนุฉ ู…ู†
1664
+
1665
+ 455
1666
+ 00:32:53,240 --> 00:32:54,080
1667
+ related elements
1668
+
1669
+ 456
1670
+ 00:32:58,470 --> 00:33:01,490
1671
+ ุงู„ูƒู…ุจูˆุฒ ุงู„ู„ูŠ ุจูŠุทู„ุน ุฅู…ุง array ุฃูˆ hash ุฃูˆ record
1672
+
1673
+ 457
1674
+ 00:33:01,490 --> 00:33:08,290
1675
+ ุทุจุนุง ูƒู„ element ุงู„ู„ูŠ ู‡ูˆ hash ุงู„ู„ูŠ ู‡ูˆ value ุจุงู„ู†ุณุจุฉ
1676
+
1677
+ 458
1678
+ 00:33:08,290 --> 00:33:11,270
1679
+ ู„ู„array ุงู„ elements ุงู„ู„ูŠ ุจูŠูƒูˆู† the same type ูƒู„ ุงู„
1680
+
1681
+ 459
1682
+ 00:33:11,270 --> 00:33:14,030
1683
+ elements ู…ุด ู‡ูŠูƒูˆูŠุฉ ู„ุง ู…ุนุฑูˆู ู…ู† ุชุนุฑูŠูุงุช ุงู„ .. ู…ู†
1684
+
1685
+ 460
1686
+ 00:33:14,030 --> 00:33:17,850
1687
+ ุชุนุฑูŠู ุงู„ array ู„ูƒู† ุงู„ elements of a record ู…ู…ูƒู†
1688
+
1689
+ 461
1690
+ 00:33:17,850 --> 00:33:24,000
1691
+ ูŠูƒูˆู† of different ุฅูŠุด types ุงู„ูƒู…ุจูˆุฒ ุงู„ type ู…ู…ูƒู†
1692
+
1693
+ 462
1694
+ 00:33:24,000 --> 00:33:26,960
1695
+ ูŠูƒูˆู† ููŠู‡ elements scalars ุฒูŠ ุงู„ character letter ุงู„
1696
+
1697
+ 463
1698
+ 00:33:26,960 --> 00:33:31,420
1699
+ numberation ุงู„ู„ูŠ ู‡ูˆ letter ู…ู…ูƒู† ูŠูƒูˆู† ููŠู‡ composite
1700
+
1701
+ 464
1702
+ 00:33:31,420 --> 00:33:34,360
1703
+ ุญุชู‰ ูƒู…ุงู† ูŠูƒูˆู† ุฌูŠู…ุจุฒ ุฌูˆุง composite ู…ู…ูƒู† ูŠูƒูˆู† access
1704
+
1705
+ 465
1706
+ 00:33:34,360 --> 00:33:39,100
1707
+ type ุฒูŠ ุงู„ pointer ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ู„ูƒู† ู…ุด ู…ุณู…ูˆุญ ูŠูƒูˆู†
1708
+
1709
+ 466
1710
+ 00:33:39,100 --> 00:33:43,980
1711
+ ุงู„ูุงูŠู„ ุงู„ู„ูŠ ู‡ูŠ ูŠุฎุด ููŠ ุชูƒูˆูŠู† ุงู„ composite type
1712
+
1713
+ 467
1714
+ 00:33:43,980 --> 00:33:50,100
1715
+ ุงู„ูุงูŠู„ ู‡ูˆ ุงู„ูุงูŠู„ ู„ุญุงู„ู‡ ุชุจุนู‡ ู„ุง ุทู„ุน ุนู„ู‰ ุงู„ figure
1716
+
1717
+ 468
1718
+ 00:33:50,100 --> 00:33:56,490
1719
+ ุงู„ุชุงู„ูŠู‡ุฐู‡ ุงู„ู€ Composite Types ุฅู…ุง Array ุฃูˆ Record
1720
+
1721
+ 469
1722
+ 00:33:56,490 --> 00:34:02,330
1723
+ Types ุงู„ู€ Arrays ููŠู‡ Unconstraint ูˆ ููŠู‡ Constraint
1724
+
1725
+ 470
1726
+ 00:34:02,330 --> 00:34:08,470
1727
+ ู‡ู†ุดูˆู ูˆู†ูุตู„ ููŠู‡ู… ุงู„ู€ Unconstraint ุฒูŠ .. ู‡ุฐูŠ ู…ุซู„ุง
1728
+
1729
+ 471
1730
+ 00:34:08,470 --> 00:34:12,170
1731
+ ุฒูŠ ุงู„ู€ Bit Vector ุงู„ู…ุนุฑู ุฅู„ูŠู†ุง ุจุงู„ู€ VHL ุฃูˆ ุงู„ู€
1732
+
1733
+ 472
1734
+ 00:34:12,170 --> 00:34:15,730
1735
+ String ู‡ุฏูˆู„ Predefined ุงู„ Bit Vector ูˆ ุงู„ .. ูˆ ุงู„
1736
+
1737
+ 473
1738
+ 00:34:15,730 --> 00:34:19,250
1739
+ String ุชูุตูŠู„ ุงู„ู€ what is unconstrained ูˆ what is
1740
+
1741
+ 474
1742
+ 00:34:19,250 --> 00:34:22,090
1743
+ constrained ูˆ ูƒุฏู‡ ููŠ ุนู„ูŠู‡ุง ูƒู„ุงู… ูƒุซูŠุฑ ุณู†ุชุญุฏุซ ุนู†ู‡ ุฅู†
1744
+
1745
+ 475
1746
+ 00:34:22,090 --> 00:34:29,670
1747
+ ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู…ุญุงุถุฑุฉ ู‡ุฐู‡ ุชุฑู‰ ูŠุง ุดุจุงุจ ุงู„
1748
+
1749
+ 476
1750
+ 00:34:29,670 --> 00:34:34,420
1751
+ composite ุฅุฐุง ุฃู†ุช ุนุงู…ู„ type ูˆ ุงู„ู€ type ู‡ุฐุง
1752
+
1753
+ 477
1754
+ 00:34:34,420 --> 00:34:39,980
1755
+ composite ุนู…ู„ุช object ู…ู† ู†ูˆุน ุงู„ู€ composite type
1756
+
1757
+ 478
1758
+ 00:34:39,980 --> 00:34:43,940
1759
+ ู‡ุฐุง ุชุนุทูŠู‡ุง ุชุดุชุบู„ ุนู„ูŠู‡ ุฅู…ุง ุนู„ู‰ ุงู„ object ูƒู„ู‡ ุฃูˆ ุนู„ู‰
1760
+
1761
+ 479
1762
+ 00:34:43,940 --> 00:34:49,740
1763
+ element ู…ุญุฏุฏุฉ ู…ู† ุงู„ .. ู…ู† ุงู„ composite type ู„ูˆ ุจุฏูƒ
1764
+
1765
+ 480
1766
+ 00:34:49,740 --> 00:34:52,360
1767
+ .. ู„ูˆ .. ู„ูˆ ุฃู†ุง ุนู†ุฏูŠ ุนุฑูŠุฉ ู…ุซู„ุง ุจุฏุงุดูŠ ุนู„ู‰ element
1768
+
1769
+ 481
1770
+ 00:34:52,360 --> 00:34:56,720
1771
+ ู…ุนูŠู† ุจุญุฏุฏ element ู…ู† ุงู„ index ุชุจุนู‡ ู…ู† ุงู„ index
1772
+
1773
+ 482
1774
+ 00:34:56,720 --> 00:35:01,300
1775
+ ุชุจุนู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ element ู„ูƒู† ู„ูˆ ุฃู†ุช ุดุบุงู„ ุนู„ู‰
1776
+
1777
+ 483
1778
+ 00:35:01,300 --> 00:35:07,430
1779
+ record ูƒ composite type ุณุงุนุชู‡ุง ุงุณู… ุงู„ record ูˆุงุณู…
1780
+
1781
+ 484
1782
+ 00:35:07,430 --> 00:35:11,930
1783
+ ุงู„ element ุจุงู„ุงุชู†ูŠู† ู‡ุฐูˆู„ ุจุชุชุฌู‡ ุชุนู…ู„ access ู„ู…ู†ุŸ ู„ู„
1784
+
1785
+ 485
1786
+ 00:35:11,930 --> 00:35:14,970
1787
+ element ู„ูƒู† ุงู„ู‚ุฑูŠุฉ ุนู† ุทุฑูŠู‚ ุงู„ index ุฒูŠ ุงู„ language
1788
+
1789
+ 486
1790
+ 00:35:14,970 --> 00:35:21,870
1791
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุนุงุฏูŠุฉ ู†ุจุฏุฃ
1792
+
1793
+ 487
1794
+ 00:35:21,870 --> 00:35:25,650
1795
+ ุจุงู„ arrays ูŠุจู‚ู‰ ุงู„ arrays ู‡ุฐูˆู„ ุฃูˆู„ ู†ูˆุน ู…ู† ุงู„
1796
+
1797
+ 488
1798
+ 00:35:25,650 --> 00:35:30,830
1799
+ compass ูŠู‚ูˆู„ู†ุง ูŠุง arrays ูŠุง whatุŸ ูŠุง records ุงู„ู‚ุฑูŠุฉ
1800
+
1801
+ 489
1802
+ 00:35:30,830 --> 00:35:34,790
1803
+ ู‚ู„ู†ุง ุนุจุงุฑุฉ ุนู† group of elements ุงู„ู„ูŠ ู„ู‡ู… ู†ูุณ ุงู„
1804
+
1805
+ 490
1806
+ 00:35:34,790 --> 00:35:40,790
1807
+ type ุถู…ู† ุฃู‡ู… single object ุฅูŠุด ู†ูˆุน ุงู„ู‚ุฑูŠุฉ ู…ู…ูƒู†
1808
+
1809
+ 491
1810
+ 00:35:40,790 --> 00:35:43,430
1811
+ ุงู„ู‚ุฑูŠุฉ ูŠูƒูˆู† one dimensional ุฃูˆ multidimensional
1812
+
1813
+ 492
1814
+ 00:35:43,430 --> 00:35:49,530
1815
+ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ one dimension ุฃูˆ ูƒุฐุง ุฅูŠุด ุฏู…ุฌ
1816
+
1817
+ 493
1818
+ 00:35:49,530 --> 00:35:53,110
1819
+ ูŠุนู†ูŠ ุงู„ู…ุนุทุณ ู…ุซู„ุง ุชุนุชุจุฑ ุฅูŠุด two dimensional ู„ูƒู†
1820
+
1821
+ 494
1822
+ 00:35:53,110 --> 00:35:56,670
1823
+ ุงู„ู‚ุฑูŠุฉ ู…ุซู„ุง ุฃูˆ ุฃุนู…ุงู„ูƒู… ู…ุซู„ุง ุจูŠูƒูˆู† one ุฅูŠุด one
1824
+
1825
+ 495
1826
+ 00:35:56,670 --> 00:36:00,020
1827
+ dimensional ู„ูˆ ู‡ูˆ one dimensional ุจูŠุณู…ูˆู‡ ุจุฑุถู‡ ุฅูŠุด
1828
+
1829
+ 496
1830
+ 00:36:00,020 --> 00:36:07,420
1831
+ ุจูŠุณู…ูˆู‡ vector ุงู„ .. ุฅุฐุง ุจุฏูƒ ุชูˆุตู„ ู„ุฃูŠ element ุชู‚ูˆู„ู‡
1832
+
1833
+ 497
1834
+ 00:36:07,420 --> 00:36:09,680
1835
+ ุนู† ุทุฑูŠู‚ ุงู„ index ุชุจุน ุงู„ element ู„ูˆ ุฃู‚ูˆู„ ู…ุซู„ุง
1836
+
1837
+ 498
1838
+ 00:36:09,680 --> 00:36:12,640
1839
+ element zero element ูˆุงุญุฏ element ุงุซู†ูŠู† and so on
1840
+
1841
+ 499
1842
+ 00:36:12,640 --> 00:36:18,340
1843
+ ูˆูŠุญุฏุฏ position ุชุจุนู‡ ู„ูƒู† ู„ูˆ .. ู„ูˆ ู‡ูˆ .. ู„ูˆ ู‡ูˆ one
1844
+
1845
+ 500
1846
+ 00:36:18,340 --> 00:36:22,480
1847
+ dimensional ุจุฏู‡ ูƒู… indexุŸ just one index ู„ูˆ two
1848
+
1849
+ 501
1850
+ 00:36:22,480 --> 00:36:27,410
1851
+ dimensional ุจุฏู‡ ูƒู… indexุŸ ุจุฏู‡ ุงุซู†ูŠู† and so on ู„ูƒู†
1852
+
1853
+ 502
1854
+ 00:36:27,410 --> 00:36:33,590
1855
+ ุจุงู„ู†ุณุจุฉ ู„ู€ IEEE ุงู„ู„ูŠ supported ุนู†ุฏู‡ู… ูู‚ุท ุงู„ one
1856
+
1857
+ 503
1858
+ 00:36:33,590 --> 00:36:36,990
1859
+ -dimensional arraysุŒ they do not support ุงู„
1860
+
1861
+ 504
1862
+ 00:36:36,990 --> 00:36:41,050
1863
+ multidimensional arraysุŒ ู„ุฐู„ูƒ ุญุงู„ูŠุง ู‡ู†ุณุชุฎุฏู… ุงู„ one
1864
+
1865
+ 505
1866
+ 00:36:41,050 --> 00:36:44,260
1867
+ -dimensional arrays ุนุดุงู† ุนู…ู„ุช ุงู„ data ุจุณุทุฉ ุฃูˆ ุงุชุณ
1868
+
1869
+ 506
1870
+ 00:36:44,260 --> 00:36:46,980
1871
+ ุจุณุทุฉ ุฃูˆ ุฃูŠ ุดูŠุก ู†ุณุชุฎุฏู… ุงู„ one dimensional ูุงู„ู‚ู„ุจ
1872
+
1873
+ 507
1874
+ 00:36:46,980 --> 00:36:49,700
1875
+ ูŠูƒููŠ ุงู„ one dimensional ู„ูƒู† ููŠ ุญุงู„ุงุช ู„ูˆ ุจุฏูƒ two
1876
+
1877
+ 508
1878
+ 00:36:49,700 --> 00:36:51,620
1879
+ dimensional ุงู„ู„ูŠ ู‚ู„ุช two dimensional ู„ูŠู‡ ุฅูŠู‡ ุฅูŠู‡ุŸ
1880
+
1881
+ 509
1882
+ 00:36:51,620 --> 00:36:54,020
1883
+ supported ูŠุนู†ูŠ it is not sizable ูŠุนู†ูŠ ู…ุง ุชุญูˆุด ู„ู‡ุง
1884
+
1885
+ 510
1886
+ 00:36:54,020 --> 00:37:02,680
1887
+ ุฏูˆุฑ ุฅูŠู‡ ุฅูŠู‡ ุฅูŠู‡ ุจู†ุณูˆูŠู‡ ู…ู…ูƒู† ุชุนู…ู„ array of array ูƒู„
1888
+
1889
+ 511
1890
+ 00:37:02,680 --> 00:37:05,280
1891
+ ูˆุงุญุฏ ุจูŠุนุชุจุฑ ุฅูŠู‡ ุฅูŠู‡ two dimensional ูุฃู†ุช ุดุฑุชูŠู† ุนู„ู‰
1892
+
1893
+ 512
1894
+ 00:37:05,280 --> 00:37:10,320
1895
+ ุจุนุถ ุตุงุฑูˆุง ุฅูŠู‡ ุฅูŠู‡ุŸ ุตุงุฑูˆุง two dimensional ุฃูˆ array
1896
+
1897
+ 513
1898
+ 00:37:10,320 --> 00:37:13,440
1899
+ of array of array ุตุงุฑุช ุฅูŠุด ุงู„ three-dimensional
1900
+
1901
+ 514
1902
+ 00:37:13,440 --> 00:37:17,440
1903
+ ู„ูƒู† ู‡ุฐุง ู†ุงุฏุฑ ุฌุฏุง ุฅุฐุง ุฃู†ุช ุงุญุชุงุฌุชู‡ ู…ุณุชุญูŠู„ ุฃู† ุชุญุชุงุฌ
1904
+
1905
+ 515
1906
+ 00:37:17,440 --> 00:37:21,360
1907
+ ูู‚ุท ุฅูŠุด ุงู„ one-dimensional it ูŠุนู†ูŠ it ุงู„ุตูุงุดูŠ ูŠุนู†ูŠ
1908
+
1909
+ 516
1910
+ 00:37:21,360 --> 00:37:25,420
1911
+ ุจูŠูƒููŠ ููŠ ุงู„ุบุงู„ุจ ุญุชู„ุงู‚ูŠ ุงู„ one-dimensional ู„ูƒู† ุจุฏูƒ
1912
+
1913
+ 517
1914
+ 00:37:25,420 --> 00:37:28,620
1915
+ two-dimensional ุจุชุตูŠุฑ ุจุณ ุนู…ุงู„ุฉ ู…ุด ุจุดูƒู„ ูŠุนู†ูŠ ุนุงู„ูŠ
1916
+
1917
+ 518
1918
+ 00:37:28,620 --> 00:37:32,380
1919
+ ู„ุฃู† it is not ูŠุนู†ูŠ it is not supported by ุงู„ by ุงู„
1920
+
1921
+ 519
1922
+ 00:37:32,380 --> 00:37:37,490
1923
+ by ุงู„ IW standard ุจุชุนู…ู„ ุณุงุนุชู‡ุง array of of array
1924
+
1925
+ 520
1926
+ 00:37:37,490 --> 00:37:44,790
1927
+ ุจูŠูƒูˆู† ุชุณุงุฒูˆู„ ู…ุด ู…ุดูƒู„ุฉ ู…ุด ู…ุดูƒู„ุฉ ุทูŠุจ
1928
+
1929
+ 521
1930
+ 00:37:44,790 --> 00:37:47,930
1931
+ ุทุจุนุง
1932
+
1933
+ 522
1934
+ 00:37:47,930 --> 00:37:55,110
1935
+ ู‚ุจู„ ู…ุง ุชุนู…ู„ declaration ู„ array object ุจุฏูƒ ุงู„ type
1936
+
1937
+ 523
1938
+ 00:37:55,110 --> 00:37:58,350
1939
+ ุชุจุนู‡ must be declared ุฃู†ูƒ ุชุนู…ู„ array type
1940
+
1941
+ 524
1942
+ 00:37:58,350 --> 00:38:02,210
1943
+ declaration ู…ุด ูุงูƒูˆุฑุฉ ู„ุงุฒู… ุชุนู…ู„ declaration ููŠ
1944
+
1945
+ 525
1946
+ 00:38:02,210 --> 00:38:06,760
1947
+ ุงู„ุฃูˆู„ ู„ array type ุจุนุฏ ูƒุฏู‡ ุงุณุชุฎุฏู… ุงู„ array type ู‡ุฐุง
1948
+
1949
+ 526
1950
+ 00:38:06,760 --> 00:38:10,800
1951
+ ุนุดุงู† ุชุนู…ู„ decoration ู„ object ู†ูˆุน ู†ูˆุนูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1952
+
1953
+ 527
1954
+ 00:38:10,800 --> 00:38:15,640
1955
+ array ู‡ุฐุง one
1956
+
1957
+ 528
1958
+ 00:38:15,640 --> 00:38:20,020
1959
+ way ุฃู†ู‡ ู†ุนู…ู„ decoration type ูŠุชุฎู„ูŠู‡ unconstrained
1960
+
1961
+ 529
1962
+ 00:38:20,020 --> 00:38:26,080
1963
+ array unconstrained array ูŠุนู†ูŠ array ู„ุณู‡ ุงู„ุญุฌู…
1964
+
1965
+ 530
1966
+ 00:38:26,080 --> 00:38:30,000
1967
+ ุชุจุนู‡ ูŠุนู†ูŠ ุงู„ bounce ุชุจุนุชู‡ ู„ู… ุชุญุฏุฏ ุงู„ุญุฏูˆุฏ ูŠุนู†ูŠ ูƒู…
1968
+
1969
+ 531
1970
+ 00:38:30,000 --> 00:38:32,950
1971
+ element ููŠู‡ ู‡ูŠ ู…ุซู„ุง ุฃูˆู„ุง ุงู„ index ุชุจุนู‡ ุงู„ minimum
1972
+
1973
+ 532
1974
+ 00:38:32,950 --> 00:38:35,830
1975
+ ุงู„ูƒู… zero ูˆู„ุง ูƒู… ูˆู„ุง ูˆุงุญุฏ ูˆู„ุง ุนุดุฑ ู„ุบุงูŠุฉ ูƒู… ู…ุซู„ุง
1976
+
1977
+ 533
1978
+ 00:38:35,830 --> 00:38:39,710
1979
+ ู„ุณู‡ ุงู„ bounds ุชุจุนู‡ ู…ุด ู…ูŠุงุดูŠ ุฅูŠุด ุฅูŠุด ู…ุญุฏุฏุฉ ูˆ ุจุงู„ุชุงู„ูŠ
1980
+
1981
+ 534
1982
+ 00:38:39,710 --> 00:38:42,010
1983
+ ุนุฏุฏ ุงู„ images still is not ุฅูŠุด ุฅูŠุด determined ุจูŠุณู…ูŠ
1984
+
1985
+ 535
1986
+ 00:38:42,010 --> 00:38:48,450
1987
+ unconstrained array ูˆุญุชู‰
1988
+
1989
+ 536
1990
+ 00:38:48,450 --> 00:38:52,790
1991
+ ุงู„ dimensions ูƒู…ุงู† ูŠุนู†ูŠ ู„ุง ุญุฏุฏู†ุง ุงู„ dimensions ูƒู…
1992
+
1993
+ 537
1994
+ 00:38:52,790 --> 00:38:59,910
1995
+ dimension ู„ู‡ ุชู…ุงู… ูˆู„ุง ุญุฏุฏู†ุง ุงู„ุฃู†ูˆุงุน ุงู„ indices
1996
+
1997
+ 538
1998
+ 00:39:01,220 --> 00:39:06,260
1999
+ ุทุจุนุงุŒ ู„ูƒู† ุจุณ ู‚ู„ู†ุง it is an arrayุŒ ุจู†ุชุณู…ูŠู‡ุงุŒ ูƒูŠูุŸ
2000
+
2001
+ 539
2002
+ 00:39:06,260 --> 00:39:11,240
2003
+ ุฃูŠูˆู‡ุŒ ุฃูŠูˆู‡ุŒ ู‡ู†ุดูˆู ุงู„ุฌุฏ ููŠ ุงู„ุฃู…ุซู„ุฉุŒ ู…ู…ูƒู† ุบุฑูŠุจ ุงู„ุงุดูŠ
2004
+
2005
+ 540
2006
+ 00:39:11,240 --> 00:39:18,100
2007
+ ูƒู„ุงู…ูŠ ุดูˆูŠุฉ ู…ุดุงูƒู„ ูˆู„ุงุŒ ุทูˆู„ ุจุงู„ูƒุŒ okayุŸ ูŠุนู†ูŠ ุงู„ ..
2008
+
2009
+ 541
2010
+ 00:39:18,100 --> 00:39:21,940
2011
+ ุงู„ .. ุงู„ .. sorry ุงู„ .. ุงู„ .. ุงู„ dimensions .. ุงู„
2012
+
2013
+ 542
2014
+ 00:39:21,940 --> 00:39:25,140
2015
+ dimensions ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ุชุญุฏุฏุชุŒ ู„ูƒู† ุงู„
2016
+
2017
+ 543
2018
+ 00:39:25,140 --> 00:39:29,200
2019
+ bounds ุชุจุน ูƒู„ dimension ู…ุด ู…ุญุฏุฏุฉุŒ ูŠุนู†ูŠ ุทุจุนุงุŒ ู…ุนุงู†ุง
2020
+
2021
+ 544
2022
+ 00:39:29,200 --> 00:39:33,490
2023
+ ูŠุง ุนุจุฏุงู„ู„ู‡ ุทูŠุจุŒ ุชู…ุงู…ุŸ ุงู„ู€ dimensions ุนู„ูŠู‡ุง ู…ุญุฏุฏุฉ ูˆ
2024
+
2025
+ 545
2026
+ 00:39:33,490 --> 00:39:39,010
2027
+ ุงู„ indices .. ุงู„ type ุชุจุน ุงู„ indices ู…ุญุฏุฏุฉ ู„ูƒู† ุงู„
2028
+
2029
+ 546
2030
+ 00:39:39,010 --> 00:39:44,210
2031
+ bounds ู‡ูŠ ู„ูŠู‡ุงุด ุงู„ู„ูŠ ู…ุด ู…ุญุฏุฏุฉ ุชุจุน ูƒู„ dimension
2032
+
2033
+ 547
2034
+ 00:39:44,210 --> 00:39:47,410
2035
+ ุชู…ุงู…ุŸ ุงู„ bounds ู…ุด .. ู…ุด ู…ุญุฏุฏุฉ
2036
+
2037
+ 548
2038
+ 00:39:59,210 --> 00:40:04,430
2039
+ ู‡ุฐุง ูŠุนุทูŠูƒ ูุฑุตุฉ ุนู†ุฏู…ุง ุชูƒูˆู† ุบูŠุฑ ู…ุณุชุญูŠู„ ุจุดูƒู„ ู‡ุฐุง ุฃู†ู‡
2040
+
2041
+ 549
2042
+ 00:40:04,430 --> 00:40:07,310
2043
+ ู…ู…ูƒู† ุชุนุฑู ู…ู†ู‡ ูƒุฏู‡ subtype ุงู„ู„ูŠ ู‡ู… ู†ูุณ ุงู„ common
2044
+
2045
+ 550
2046
+ 00:40:07,310 --> 00:40:13,050
2047
+ base type ูˆุซุงู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ sub programs ูŠุนู†ูŠ
2048
+
2049
+ 551
2050
+ 00:40:13,050 --> 00:40:16,450
2051
+ functions ูˆ procedures ุงุชุจุตูŠู„ู‡ู… ุฃู†ุช ุฃูŠ array ุนู„ู‰
2052
+
2053
+ 552
2054
+ 00:40:16,450 --> 00:40:19,310
2055
+ ุงุนุชุจุงุฑ ุฃู† ุงู„ function ูˆ ุงู„ procedure ุจูŠู‚ุจู„ ุงู„
2056
+
2057
+ 553
2058
+ 00:40:19,310 --> 00:40:24,150
2059
+ array ุงู„ู„ูŠ ุจูŠู‚ุจู„ู‡ ุบูŠุฑ ู…ุณุชุญูŠู„ ู…ุด ู…ุญุฏุฏ dimensions ู„ูƒ
2060
+
2061
+ 554
2062
+ 00:40:24,150 --> 00:40:26,930
2063
+ ู„ูˆ ู„ูƒ ู„ูˆ ุญุฏุฏุชู‡ ุณุงุนุงุช ู„ุงุฒู… ุชุชุจุตูŠ ุจู†ูุณ ุงู„ dimension
2064
+
2065
+ 555
2066
+ 00:40:29,680 --> 00:40:34,560
2067
+ ุฒูŠ ุญูƒุงูŠุฉ ุงู„ void pointers ูˆุดุบู„ุงุช ู‡ุฐู‡ ูู„ู…ุง ูŠูƒูˆู† ุงู„
2068
+
2069
+ 556
2070
+ 00:40:34,560 --> 00:40:39,640
2071
+ function it accepts an unconstrained array ุณุงุนุชู‡ุง
2072
+
2073
+ 557
2074
+ 00:40:39,640 --> 00:40:47,700
2075
+ you can pass any constraintุŒ ูŠู†ูุนุŒ ู…ุด ู‡ูŠูƒุŸ ุทู„ุน
2076
+
2077
+ 558
2078
+ 00:40:47,700 --> 00:40:54,360
2079
+ ุนู„ู‰ ูƒูŠู ุชุนู…ู„ declaration ู„ู€ unconstrained typeุŒ
2080
+
2081
+ 559
2082
+ 00:40:54,360 --> 00:40:56,060
2083
+ array typeุŒ ุดูˆู
2084
+
2085
+ 560
2086
+ 00:41:01,490 --> 00:41:07,310
2087
+ ุชูƒุชุจ ูƒู„ู…ุฉ type ูˆุงุณู… ุงู„ type ุฃูŠ ุฃู†ุช ูุงุนู„ is array
2088
+
2089
+ 561
2090
+ 00:41:07,310 --> 00:41:14,390
2091
+ is array ุจุนุฏูŠู† between two parenthesis ูˆ ุชุฑูˆุญ ุญุงุทุฉ
2092
+
2093
+ 562
2094
+ 00:41:14,390 --> 00:41:22,330
2095
+ ุงู„ type range ุงู„ type mark ุฅูŠุด ุงู„ type markers ุฏูˆ
2096
+
2097
+ 563
2098
+ 00:41:22,330 --> 00:41:28,370
2099
+ ูŠุนู†ูŠ ุงู„ index ุชุจุน ุงู„ array of this dimension ุฅูŠุด
2100
+
2101
+ 564
2102
+ 00:41:28,370 --> 00:41:33,960
2103
+ ู†ูˆุนู‡ ุฅูŠุด ุฅูŠู‡ ุฃูŠุดู†ูˆุน ุงู„ index ู…ุด ู†ูˆุน ุงู„ elements
2104
+
2105
+ 565
2106
+ 00:41:33,960 --> 00:41:38,260
2107
+ ุชุจุน ุงู„ array ู‡ุฐุง ู†ูˆุน ุงู„ index ุชุจุน ู‡ุฐุง ู†ูˆุน ู…ูŠู† ุงู„
2108
+
2109
+ 566
2110
+ 00:41:38,260 --> 00:41:41,480
2111
+ index of dimension ุฃูˆู„ุงู†ูŠ ุจุนุฏูŠู† ู‡ุฐุง ุงู„ range of ุงู„
2112
+
2113
+ 567
2114
+ 00:41:41,480 --> 00:41:45,540
2115
+ index ุจุนุฏูŠู† ุจุชุฑูˆุญ ุญุงุทุท ุนู„ุงู…ุชูŠู† ู‡ุฏูˆู„ ู‡ุฐุง ุจุชุฏู„ ุนู„ู‰ ุฃู†
2116
+
2117
+ 568
2118
+ 00:41:45,540 --> 00:41:49,620
2119
+ it is unconstrained ู„ุณู‡ ุงู„ bounds are not yet ู„ุฐู„ูƒ
2120
+
2121
+ 569
2122
+ 00:41:49,620 --> 00:41:53,560
2123
+ ุงุชู„ุงุญุธ ุญูŠุงุชูŠ ุฅุญู†ุง ูุนู„ู‹ุง ุจุงู„ุญุฏ ุงู„ dimension ุชู…ุงู… ูˆ
2124
+
2125
+ 570
2126
+ 00:41:53,560 --> 00:42:00,520
2127
+ ุญุฏุฏู†ุง ุงู„ู†ูˆุน ุชุจุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ index ู„ูƒู† ู…ุง ุญุฏุฏู†ุงุด ุงู„
2128
+
2129
+ 571
2130
+ 00:42:00,520 --> 00:42:06,760
2131
+ range ุชุจุน ุงู„ index ู…ุง ุญุฏุฏู†ุงุด ุงู„ bounds ุชู…ุงู… ูˆู„ุง ู„ุฐู„ูƒ
2132
+
2133
+ 572
2134
+ 00:42:06,760 --> 00:42:10,680
2135
+ ูู‡ูˆ ุฅูŠุงู‡ unconstraint
2136
+
2137
+ 573
2138
+ 00:42:10,680 --> 00:42:16,920
2139
+ ุฃู† ุฅูŠุงู‡ unconstraint ุชู…ุงู… okay ู„ูƒู† ู‡ู†ุง ุญุงุทุท ู„ูƒ
2140
+
2141
+ 574
2142
+ 00:42:16,920 --> 00:42:21,540
2143
+ between two braces ูƒู…ู‡ ูˆุงู„ูƒู„ุงู… ู‡ุฐุง ูƒู„ู‡ ู…ู…ูƒู† ุชูƒุฑู‡
2144
+
2145
+ 575
2146
+ 00:42:21,540 --> 00:42:27,330
2147
+ ูƒู…ุงู† ู…ุฑุฉ ู‡ุฐุง ู„ูˆ ุจุฏูƒ ุชุนู…ู„ ุฅูŠุงู‡ multidimensional 2D 3D
2148
+
2149
+ 576
2150
+ 00:42:27,330 --> 00:42:31,510
2151
+ ุจุชูƒุฑุฑ ูƒุฐุง ู…ุฑุฉ ู„ูƒู† ู„ุฃู†ู‡ it is not supported shut
2152
+
2153
+ 577
2154
+ 00:42:31,510 --> 00:42:35,250
2155
+ up ู„ูƒ ู‡ูŠ ุชู…ุงู…
2156
+
2157
+ 578
2158
+ 00:42:35,250 --> 00:42:42,570
2159
+ ูุฃู†ุช ุงู‚ุชุตุฑ ูู‚ุท ุนู„ู‰ ุงู„ one dimensional ุจุฏูƒ two
2160
+
2161
+ 579
2162
+ 00:42:42,570 --> 00:42:46,410
2163
+ dimensional ุชุนู…ู„ array of ุงู„ array ุงู„ุฃูˆู„ุงู†ูŠ ุจูŠูƒูˆู†
2164
+
2165
+ 580
2166
+ 00:42:46,410 --> 00:42:48,670
2167
+ one dimensional ูˆุงู„ุซุงู†ูŠ one dimensional ูŠุนู†ูŠ ุนู„ู‰
2168
+
2169
+ 581
2170
+ 00:42:48,670 --> 00:42:51,410
2171
+ ุจุนุถู‡ two ู„ูƒู† ุฃู†ุช still you are using ุงู„ one
2172
+
2173
+ 582
2174
+ 00:42:51,410 --> 00:42:54,070
2175
+ dimensional arrays
2176
+
2177
+ 583
2178
+ 00:42:55,610 --> 00:43:00,650
2179
+ ุจุนุฏูŠู† ุจุชุณูƒูŠ ุงู„ parentheses ูŠุจู‚ู‰ ุฅูŠุดุŸ ุฎู„
2180
+
2181
+ 601
2182
+ 00:44:15,090 --> 00:44:19,150
2183
+ ู‚ุฑูŠุฉ ู„ุงุฒู… ุฃุญุฏุฏ ุงู„ู€ bounds ุชุจุน ุงู„ู‚ุฑูŠุฉ ุชุจุน ุงู„ู€ object
2184
+
2185
+ 602
2186
+ 00:44:19,150 --> 00:44:21,250
2187
+ ุฏู‡ ุงู„ู„ูŠ ุฌุงุชู‡ ู„ุฅู† ุงู„ู„ูŠ ุฌุงุชู‡ ูŠู‚ุนุฏ ูŠุฑุฒู‚ ุฃุณูˆุฃ ู„ุงุฒู…
2188
+
2189
+ 603
2190
+ 00:44:21,250 --> 00:44:26,990
2191
+ ุชุญุฏุฏ ูƒู… ู‚ู„ู… ุชุจุฏุฃ ู…ู†ู‡ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุชู…ุงู…ุŸ okay ู…ุงุดูŠ
2192
+
2193
+ 604
2194
+ 00:44:26,990 --> 00:44:34,370
2195
+ ู…ุงุดูŠ ุงู„ุญูŠู† okay ูŠุนู†ูŠ
2196
+
2197
+ 605
2198
+ 00:44:34,370 --> 00:44:38,030
2199
+ ุฒูŠ ู„ู…ุง ุชูƒูˆู† ู…ุซู„ุง ุจูƒุฑุง ุชู‚ูˆู„ู‡ ุนู„ู‰ ุงู„ุนุดุงุก ุจูƒุฑุง ุจุฏู†ุง
2200
+
2201
+ 606
2202
+ 00:44:38,030 --> 00:44:41,130
2203
+ ุทุจ
2204
+
2205
+ 607
2206
+ 00:44:41,130 --> 00:44:48,720
2207
+ ุจู„ุงุด Okay ู…ุงุดูŠ ู…ุงุดูŠ
2208
+
2209
+ 608
2210
+ 00:44:48,720 --> 00:44:58,160
2211
+ ุงู„ุญุงู„ุฉ ุชุทู„ุน ุนู„ู‰ ุงู„ู€ ..
2212
+
2213
+ 609
2214
+ 00:44:58,160 --> 00:45:03,340
2215
+ ููŠ ุญุงู„ุฉ ุงู„ู€ type ุงุณู…ู‡ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ bit vector ุงู„ู€
2216
+
2217
+ 610
2218
+ 00:45:03,340 --> 00:45:10,420
2219
+ bit ุงูŠู‡ุŸ ุงู„ู€ bit vector ู‡ุฐุง predefined ู„ู†ุง
2220
+
2221
+ 611
2222
+ 00:45:11,780 --> 00:45:15,360
2223
+ ูˆ one dimensional ูˆ one constraint ุงู„ู…ุนุฑู ููŠ ุฃูŠ
2224
+
2225
+ 612
2226
+ 00:45:15,360 --> 00:45:19,340
2227
+ package ุจุงู„ุชุญุฏูŠุฏ ููŠ ุงู„ู€ package ู‡ู†ุง ุชู…ุงู…ุŸ ูˆ ุงู„ู…ุนุฑู
2228
+
2229
+ 613
2230
+ 00:45:19,340 --> 00:45:23,300
2231
+ ุดูˆู ูƒูŠู ุชุนุฑูŠูู‡ ุชุจุนู‡ type ุจุงู„ููƒุชูˆุฑ ู‡ุฐุง ุงุณู…ู‡ is
2232
+
2233
+ 614
2234
+ 00:45:23,300 --> 00:45:29,220
2235
+ array ูุนู„ุงู‹ pipe in ู‚ูˆุณูŠู† ูƒุชุจ natural ุชู…ุงู…ุŸ ูŠุนู†ูŠ ุงู„ู€
2236
+
2237
+ 615
2238
+ 00:45:29,220 --> 00:45:33,640
2239
+ raw in ูŠุนู†ูŠ ูŠุนู†ูŠ ุงู„ู€ type ุชุจุน ุงู„ู€ index ุงุดู…ุงู„ู‡ ู†ุงุดุฑ
2240
+
2241
+ 616
2242
+ 00:45:33,640 --> 00:45:38,040
2243
+ ูŠุนู†ูŠ ูŠุจุฏุฃ ู…ู† ูƒุงู… ูŠุนู†ูŠ ู…ุตู…ูˆุญ ู…ู† zero ูˆ ุทุงู„ุน ู„ูƒู† ู„ุณู‡
2244
+
2245
+ 617
2246
+ 00:45:38,040 --> 00:45:40,820
2247
+ ู…ุด ู…ุญุฏุฏ ุงู„ู€ range ุงู„ู€ range ู…ุด ู…ุญุฏุฏ ูŠุจู‚ู‰ ู„ุฐู„ูƒ ูู‡ูˆ
2248
+
2249
+ 618
2250
+ 00:45:40,820 --> 00:45:46,250
2251
+ unconstraint ูˆ of bit ุงู„ู€ bit ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ type
2252
+
2253
+ 619
2254
+ 00:45:46,250 --> 00:45:50,550
2255
+ ุชุจุน ู…ูŠู† ุชุจุน ูƒู„ element ู…ู† ุงู„ู‚ุฑูŠุฉ ูˆ ุงู„ู€ bit ูŠุนู†ูŠ
2256
+
2257
+ 620
2258
+ 00:45:50,550 --> 00:45:54,870
2259
+ ุนุงุฑููŠู†ู‡ ุนุงุฑููŠู†ู‡ ู…ู‚ุฑู ูƒู€ numberation ูู‰ ูƒุงู… valueุŸ
2260
+
2261
+ 621
2262
+ 00:45:54,870 --> 00:45:57,870
2263
+ zero ูˆุงุญุฏ two character rate ูู…ุด ู‡ูŠูƒ ูˆู„ุง ูƒู„ ูˆุงุญุฏ
2264
+
2265
+ 622
2266
+ 00:45:57,870 --> 00:45:59,610
2267
+ between zero between single course ูˆ ุงู„ู€ one
2268
+
2269
+ 623
2270
+ 00:45:59,610 --> 00:46:02,390
2271
+ between two single course ู…ุนู†ุงุชู‡ ุฃูŠ element ู…ู†
2272
+
2273
+ 624
2274
+ 00:46:02,390 --> 00:46:05,570
2275
+ ุงู„ู‚ุฑูŠุฉ ู‡ุฏ ู‡ูŠุงุฎุฏ ุงู„ู‚ูŠู… ู‡ูŠ zero ูˆ ู‡ูŠุด ูŠุง ูˆุงุญุฏ ู‡ุฏ
2276
+
2277
+ 625
2278
+ 00:46:05,570 --> 00:46:07,710
2279
+ unconstraint type declaration ุทุจุนุง
2280
+
2281
+ 626
2282
+ 00:46:19,410 --> 00:46:25,370
2283
+ ุจุฑุถู‡ ููŠ ุนู†ุฏูŠ ุงู„ู€ standard logic vector ุชู„ุงุญุธ ุจูŠุถูŠู
2284
+
2285
+ 627
2286
+ 00:46:25,370 --> 00:46:28,150
2287
+ ู„ู„ู€ types ุงู„ุนุงุฏูŠุฉ ู…ุซู„ุง bit ูˆ bit vector standard
2288
+
2289
+ 628
2290
+ 00:46:28,150 --> 00:46:31,350
2291
+ logic ูˆ standard logic as vector ู‡ุฐุง one
2292
+
2293
+ 629
2294
+ 00:46:31,350 --> 00:46:36,110
2295
+ dimensional array un constrained ูƒู„ element ู…ู†ู‡
2296
+
2297
+ 630
2298
+ 00:46:36,110 --> 00:46:39,630
2299
+ standard as logic ู‡ุฐุง ู…ุนุฑูุฉ ู‡ูŠ package in this
2300
+
2301
+ 631
2302
+ 00:46:39,630 --> 00:46:44,470
2303
+ package ุดูˆู ูƒูŠู ู…ุนุฑูุฉ type standard logic vector
2304
+
2305
+ 632
2306
+ 00:46:44,470 --> 00:46:51,460
2307
+ is array ุชู„ุงุญุธ ุจุฑุถู‡ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ index ุชุจุน ุงูŠุด
2308
+
2309
+ 633
2310
+ 00:46:51,460 --> 00:46:56,400
2311
+ ู…ู‚ุงู„ู‡ุŸ natural ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุฒูŠูˆู ู„ุบุงูŠุฉ ุขุฎุฑ ุฑู‚ู…
2312
+
2313
+ 634
2314
+ 00:46:56,400 --> 00:46:58,780
2315
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฑู‚ู… ู‡ุฐุง ู„ูˆ ุฃู†ุช ุดุบุงู„ ู‡ุฐุง typically ูŠูƒูˆู†
2316
+
2317
+ 635
2318
+ 00:46:58,780 --> 00:47:03,180
2319
+ ูƒุฏู‡ ูˆ ุงู„ู€ range ุจุฑุถู‡ un specified ู…ุนู†ุงุชู‡ un
2320
+
2321
+ 636
2322
+ 00:47:03,180 --> 00:47:04,540
2323
+ constructed one dimensional ูˆู„ุง ู…ูˆุงุดูŠ one
2324
+
2325
+ 637
2326
+ 00:47:04,540 --> 00:47:08,520
2327
+ dimensionalุŸ ู„ุฃู†ู‡ ู…ุญุฏุฏ ูู‚ุท ููŠ ุงู„ู‚ุณู… ูƒุงู… dimensionุŸ
2328
+
2329
+ 638
2330
+ 00:47:08,520 --> 00:47:11,720
2331
+ dimension ูˆุงุญุฏ ู„ูˆ ุฃูƒุซุฑ ูƒุงู† ุญุฏ ูƒูˆู…ุฉ ูˆูƒู…ู„ ู…ุด ู‡ูŠูƒูˆู‡ุง
2332
+
2333
+ 639
2334
+ 00:47:11,720 --> 00:47:17,880
2335
+ ู„ุฃ of ูƒู„ element ูƒู„ element ู…ู† ุงู„ู€ array ุฏู‡ ุฅูŠุด ู†ูˆุนู‡
2336
+
2337
+ 640
2338
+ 00:47:17,880 --> 00:47:29,900
2339
+ standard logic ุงู„ู„ูŠ ู‡ูˆ ู†ูˆุน ู…ู†ู‡ ุชู…ุงู… ูู…ู…ูƒู†
2340
+
2341
+ 641
2342
+ 00:47:29,900 --> 00:47:34,760
2343
+ ู†ุชุนุฑูู‡ุง ุจุฃูƒุซุฑ ู…ู† ุทุฑูŠู‚ุฉ ูŠุนู†ูŠ ู„ูˆ ุงู„ู€ index ู…ุซู„ุง ูƒุงู†
2344
+
2345
+ 642
2346
+ 00:47:34,760 --> 00:47:40,540
2347
+ integer ุชู‚ุฏุฑ ุชุนุฑูู‡ ascending ูŠุนู†ูŠ ุจุดูƒู„ ู‡ุฐุง integer
2348
+
2349
+ 643
2350
+ 00:47:40,540 --> 00:47:44,800
2351
+ to integer ุฃูˆ descending integer down to integer
2352
+
2353
+ 644
2354
+ 00:47:44,800 --> 00:47:52,880
2355
+ ูŠุนู†ูŠ ู…ุซู„ุง ู‡ูŠ ู…ุนุฑู object ุฅูŠุด ู†ูˆุนู‡ signal ุฅูŠุด ุงุณู…ู‡
2356
+
2357
+ 645
2358
+ 00:47:52,880 --> 00:47:57,220
2359
+ data type standard logic vector ุทุจุนุง standard
2360
+
2361
+ 646
2362
+ 00:47:57,220 --> 00:48:00,740
2363
+ logic ุงูŠู‡ุŸ vector ูŠุนู†ูŠ ุงู„ู€ data type is ุงู„ู€ signal
2364
+
2365
+ 647
2366
+ 00:48:00,740 --> 00:48:04,380
2367
+ ุฅูŠุด ู†ูˆุนู‡ุง standard logic ุงูŠู‡ุŸ vector ุงู„ู€ data ุงู„ู„ูŠ
2368
+
2369
+ 648
2370
+ 00:48:04,380 --> 00:48:09,740
2371
+ ู…ู…ูƒู† ุชุญู…ู„ู‡ุง ุทุจุนุง ู„ุฅู† ู‡ู„ ุฌูŠุช ู‡ุฐุง object ุตุญ ูˆู‡ุฐุง
2372
+
2373
+ 649
2374
+ 00:48:09,740 --> 00:48:13,600
2375
+ vector ุจุณ ู‡ุฐุง unconstraint ูŠุนู†ูŠ ุงู„ู€ Bounce ู…ุงูƒุงู†ุด
2376
+
2377
+ 650
2378
+ 00:48:13,600 --> 00:48:16,860
2379
+ ู…ุญุฏุฏ ุฏู‡ ุจูŠู‡ุง ู„ุงุฒู… ุฃุญุฏู‡ุง ู†ุฌุงุช ุฃูŠุด ุงู„ู€ Bounce ูŠุนู†ูŠ
2380
+
2381
+ 651
2382
+ 00:48:16,860 --> 00:48:20,840
2383
+ ู…ู…ูƒู† ุชุญูƒู… ู…ุซู„ุง ุงู„ุณุงุจุนุฉ ุฏู‡ to zero ูˆ ุชุนุฑู ุนู„ู‰ ุฃู†ู‡
2384
+
2385
+ 652
2386
+ 00:48:20,840 --> 00:48:27,620
2387
+ ุตุงุฑ ุฃู†ุง ู‡ุณุชุฎุฏู… ูƒุงู… bit ุชู…ุงู†ูŠุฉ bits ุงู„ู€ left most ู‡ูˆ
2388
+
2389
+ 653
2390
+ 00:48:27,620 --> 00:48:32,500
2391
+ ุงู„ู„ูŠ ุฑู‚ู…ู‡ ุณุจุนุฉ ูˆ ุงู„ู€ right most ุฑู‚ู…ู‡ ูƒุงู… ู„ุฃู† ุงู„ุณุจุนุฉ
2392
+
2393
+ 654
2394
+ 00:48:32,500 --> 00:48:34,540
2395
+ ู…ุงู‡ูˆ ู†ุงุญูŠุฉ ุฃูŠุด ุดู…ุงู„ู‡ ุงู„ุณุจุนุฉ ุฏู‡ ูˆ ู†ุงุญูŠุฉ ุฃูŠุด ุงู„ู„ูŠ
2396
+
2397
+ 655
2398
+ 00:48:34,540 --> 00:48:36,440
2399
+ ู‡ูˆ to zero
2400
+
2401
+ 656
2402
+ 00:48:43,440 --> 00:48:50,320
2403
+ ุชุทู„ุน ุนู„ู‰ ุงู„ู€ example ุงู„ุชุงู„ูŠ ู…ุฏูŠู„ ุงู„ู€ comparator ุจูˆุงูŠ
2404
+
2405
+ 657
2406
+ 00:48:50,320 --> 00:48:54,960
2407
+ national circuit ู‡ูŠุนู…ู„ ู‡ูŠู‚ุงุฑู† between two inputs a
2408
+
2409
+ 658
2410
+ 00:48:54,960 --> 00:49:02,840
2411
+ and b ูƒู„ ู…ู† ุงู„ู€ a ูˆ ุงู„ู€ b ุฃุฑุจุน bits ูˆ ุนู†ุฏู‡ output
2412
+
2413
+ 659
2414
+ 00:49:02,840 --> 00:49:08,560
2415
+ ูˆุงุญุฏ ุงุณู…ู‡ equal if ุงู„ู€ a equals b ุงู„ู€ equal ู‡ูŠูƒูˆู†
2416
+
2417
+ 660
2418
+ 00:49:08,560 --> 00:49:14,160
2419
+ one ุนู„ู‰ ูˆุงุณุทู‡ ุงู„ู€ bh ุฒูŠุฑูˆ it is very simple ุดูˆู ุงู„ู€
2420
+
2421
+ 661
2422
+ 00:49:14,160 --> 00:49:20,760
2423
+ path ุงู„ู€ a,n ุงู„ู€ logic vector ูŠุนู†ูŠ ุนู…ู„ูŠุง ู‡ุฐุง ูƒุฏู‡ ุจุช
2424
+
2425
+ 662
2426
+ 00:49:20,760 --> 00:49:27,240
2427
+ .. ุฃูŠุด ุงุณู…ู‡ู… ุฃูŠุด ุงู„ู€ range ุชู„ุงุชุฉ down to zero ูŠุจู‚ู‰
2428
+
2429
+ 663
2430
+ 00:49:27,240 --> 00:49:32,140
2431
+ ู‡ูŠุฆุฉ ุนู…ุงู„ ุจูŠุนุฑู object ุฅูŠุด ุงุณู…ู‡ ุงูŠู‡ signal ู„ุฃู†ู‡
2432
+
2433
+ 664
2434
+ 00:49:32,140 --> 00:49:37,660
2435
+ port ูˆ ุงู„ู€ mode ุชุจุนู‡ ุจุงู„ุชุญุฏูŠุฏ n ูˆ ุฃูŠุด ุงู„ู€ type ุชุจุนู‡
2436
+
2437
+ 665
2438
+ 00:49:37,660 --> 00:49:44,060
2439
+ ุงู„ู€ logic vector ูˆ ุจุนุฏูŠู† ุงู„ู€ range of ุงู„ู€ index ุชู„ุงุชุฉ
2440
+
2441
+ 666
2442
+ 00:49:44,060 --> 00:49:51,980
2443
+ down to zero ูˆ ุงู„ู€ b ุฒูŠู‡ ูƒุงู† ู…ู…ูƒู† ู†ุญุท ุงู„ู€ a,b ูˆ ูƒุฏู‡
2444
+
2445
+ 667
2446
+ 00:49:51,980 --> 00:49:55,620
2447
+ ุจูŠู…ุดูŠ ุงู„ุญุงู„ุฉ it works ู„ูƒู† ู…ุฑุงุช ุฅุฐุง ุจุฏูƒ ุชุฑุชูŠุจ ุฃูƒุซุฑ
2448
+
2449
+ 668
2450
+ 00:49:55,620 --> 00:50:00,320
2451
+ ู…ู…ูƒู† ุชุนู…ู„ ูƒุฏู‡ ุงู„ู€ equal out ู‡ุฐุง single bit ู…ุด ู…ุญุชุงุฌ
2452
+
2453
+ 669
2454
+ 00:50:00,320 --> 00:50:04,350
2455
+ vector ูŠุจู‚ู‰ standard ุฃูŠุด logic ุชู„ุงุญุธ ู…ู† ุงู„ุขู† ูุงู„ุตุนูŠุฏ
2456
+
2457
+ 670
2458
+ 00:50:04,350 --> 00:50:07,350
2459
+ ุจุฏุฃ ๏ฟฝ๏ฟฝุณุชุฎุฏู… ุงู„ู€ standard logic ู…ุง ุงุณุชุฎุฏู…ุด ุงู„ู€ you
2460
+
2461
+ 671
2462
+ 00:50:07,350 --> 00:50:12,230
2463
+ logic ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุณู‡ ุงู„ู„ูŠ ุฐูƒุฑู†ุง ุฎู„ุต ู…ู† ุงู„ู€ entity
2464
+
2465
+ 672
2466
+ 00:50:12,230 --> 00:50:16,890
2467
+ ุทู„ุน ุนู„ู‰ ุงู„ู€ architecture ุนู…ู„ุฉ possess a and b ุญุท ุงู„ู€
2468
+
2469
+ 673
2470
+ 00:50:16,890 --> 00:50:22,310
2471
+ a and ุงู„ู€ b ููŠ ุงู„ู€ list ู„ุฃู†ู‡ ู‡ู†ุง ุฅุฐุง ุงุชุบูŠุฑ ุฃูŠ ู…ู†ู‡ู…ุง
2472
+
2473
+ 674
2474
+ 00:50:22,310 --> 00:50:27,410
2475
+ ุงู„ู€ a ุงู„ู€ a ูˆุงุญุฏ ูŠุชุบูŠุฑ ู…ุด ู‡ูŠูƒ ูˆู„ุง ูู„ุงุฒู… ุฃุญุทู‡ู… ุงุซู†ูŠู†
2476
+
2477
+ 675
2478
+ 00:50:27,410 --> 00:50:32,460
2479
+ ุฒูŠ ู…ุง ุดู‡ุฏู†ุง ู‚ุจู„ ูƒุฏู‡ ุนู† ุทุฑูŠู‚ ุงู„ู€ if statement if a
2480
+
2481
+ 676
2482
+ 00:50:32,460 --> 00:50:36,940
2483
+ equals b then ุงู„ู€ equal ุงู„ู„ูŠ ู‡ูŠ port ู‡ุฐุง ุงู„ู€ output
2484
+
2485
+ 677
2486
+ 00:50:36,940 --> 00:50:43,360
2487
+ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ู‡ุฐุง ูˆุงุณุน ุจูŠุณุงูˆูŠ ูƒุงู… ุจูŠุณุงูˆูŠ ุฒูŠุฑูˆ ุฎู„ุตุช
2488
+
2489
+ 678
2490
+ 00:50:43,360 --> 00:50:48,420
2491
+ ุงู„ู€ point ู‡ู†ุง ุฃู† ุนู…ุงู„ ุจูŠุนู…ู„ declaration ู„ู€ object
2492
+
2493
+ 679
2494
+ 00:50:51,020 --> 00:50:54,740
2495
+ ูˆ ุงู„ู†ูˆุน ุงู„ุชุจุนู‡ ูŠุญุชุงุฌ ุชุฏุฑุฌุฉ vector ู„ุฐู„ูƒ ูˆู‡ุฐุง ูƒู„ู‡
2496
+
2497
+ 680
2498
+ 00:50:54,740 --> 00:50:58,220
2499
+ unconstraint ุจู…ุง ุฃู†ู‡ ุงู„ุขู† he is declaring an
2500
+
2501
+ 681
2502
+ 00:50:58,220 --> 00:51:02,240
2503
+ object ู„ุงุฒู… ูŠุญุฏุฏ ุงู„ู€ bounds ุชุจุนุช ุงู„ู€ object ุงู„ุญุฏูˆุฏ
2504
+
2505
+ 682
2506
+ 00:51:02,240 --> 00:51:07,540
2507
+ ุชุจุนุชู‡ ุงู„ู€ index ุงุชุฑุงุญ ู…ู† ูƒุงู… ู„ูƒุงู… ุชู…ุงู… ู‡ุงูŠ ุงู„ู€ point
2508
+
2509
+ 683
2510
+ 00:51:07,540 --> 00:51:17,660
2511
+ ู…ู† ูƒู„ ุงู„ู€ example ุนู„ู…ุงู„ูƒ
2512
+
2513
+ 684
2514
+ 00:51:17,660 --> 00:51:22,140
2515
+ ู„ูˆ ุฃู†ุช ูƒู†ุช ูƒุชุจุช ุงู„ู€ ุงูŠู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ู€ ุงูƒุชุดู ุชุจุนู‡
2516
+
2517
+ 685
2518
+ 00:51:22,140 --> 00:51:27,260
2519
+ ุงู„ู€ ุงู†ุณูŠูƒ ููŠูƒุชูˆุฑ Zero to ูˆุงุญุฏ ุจู†ูุน ููŠ ุงู„ุญุงู„ุฉ ุนุงุฏูŠ
2520
+
2521
+ 686
2522
+ 00:51:27,260 --> 00:51:30,400
2523
+ ุงู„ู€ left most ู‡ูˆ ุงู„ู„ูŠ ุฑู‚ู…ู‡ Zero ู„ูƒู† ู‡ู†ุง left most
2524
+
2525
+ 687
2526
+ 00:51:30,400 --> 00:51:38,600
2527
+ ุฑู‚ู…ู‡ ูƒุงู… ุชู„ุงุชุฉ ูุชุงูƒุฑ usually we use this notation
2528
+
2529
+ 688
2530
+ 00:51:38,600 --> 00:51:41,580
2531
+ ุนู„ู‰ ุงุนุชุจุงุฑ ุฅุญู†ุง ู…ุชุนูˆุฏูŠู† ุฏู‡ ู…ู† ุงู„ู€ right most ู‡ูˆ
2532
+
2533
+ 689
2534
+ 00:51:41,580 --> 00:51:46,260
2535
+ ุฑู‚ู…ู‡ ูƒุงู… Zero ูƒู„ ู…ุง ู…ุดูŠุช ู†ุงุญูŠุฉ ุดู…ุงู„ูŠ ูˆูƒู„ู…ุฉ ุจุงูŠ ุฃูŠุด
2536
+
2537
+ 690
2538
+ 00:51:46,260 --> 00:51:47,600
2539
+ by one
2540
+
2541
+ 691
2542
+ 00:52:09,530 --> 00:52:15,010
2543
+ ู…ู…ูƒู† ุชุนู…ู„ declaration ู„ู€ object ุจุฃู†ูƒ ููŠ ุงู„ุฃูˆู„ ุชุนู…ู„
2544
+
2545
+ 692
2546
+ 00:52:15,010 --> 00:52:18,670
2547
+ declaration ู„ู€ constraint subtype of unconstraint
2548
+
2549
+ 693
2550
+ 00:52:18,670 --> 00:52:23,530
2551
+ type ูˆุจุนุฏ
2552
+
2553
+ 694
2554
+ 00:52:23,530 --> 00:52:29,870
2555
+ ูƒุฏู‡ ู…ู† ุงู„ู€ subtype ู‡ูŠ ุชุนู…ู„ object ูŠุนู†ูŠ ู…ุซู„ุง ุทู„ุน ูƒูŠู
2556
+
2557
+ 695
2558
+ 00:52:29,870 --> 00:52:36,640
2559
+ ู‡ู†ุง ู‡ุฌูŠุจ ุนู…ุงู„ุฉ ุจูŠุนู…ู„ ูƒุงุดู ู„ู€ subtype subtype ุฃูŠุด
2560
+
2561
+ 696
2562
+ 00:52:36,640 --> 00:52:41,220
2563
+ ุณู…ู‘ุงู‡ byte is standard vector ู‡ูŠ ุฏู‡ ู†ูุณู‡
2564
+
2565
+ 697
2566
+ 00:52:41,220 --> 00:52:45,780
2567
+ unconstraint ู…ุด ู‡ูŠูƒ ูˆู„ุง ู‡ูŠุถุงู ู„ุฅูŠุด ุญุฏุฏ ุงู„ู€ bounce
2568
+
2569
+ 698
2570
+ 00:52:45,780 --> 00:52:51,260
2571
+ ุณุจุนุฉ down to zero ุตุงุฑ ู‡ุฌูŠุจ ุงู„ู€ subtype ุงู„ู€ byte ู‡ูŠ
2572
+
2573
+ 699
2574
+ 00:52:51,260 --> 00:52:55,600
2575
+ ุฏู‡ constraint subtype ู…ุด ู‡ูŠูƒ ูˆู„ุง ู„ุฅู† ุงู„ู€ goal
2576
+
2577
+ 700
2578
+ 00:52:55,600 --> 00:53:01,340
2579
+ ุงุณุชุฎุฏู…ุช ูˆู„ุง ุดู…ุงู„ู‡ ู…ุนุฑูˆู ู…ุญุฏุฏู‡ูŠุจู‚ู‰ ุฃู‚ุฏุฑ ุฃุนู…ู„
2580
+
2581
+ 701
2582
+ 00:53:01,340 --> 00:53:07,200
2583
+ ุญุงุฌุงุช ู…ู† ุงู„ู€ subtype ู‡ุฐุง object ู‡ูŠ data byte ุฃูŠุด
2584
+
2585
+ 702
2586
+ 00:53:07,200 --> 00:53:10,820
2587
+ ู†ูˆุน ุงู„ู€ subtype ู‡ุฐุง ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ ุฏู‡ byte ุณุงุนุชู‡ุง
2588
+
2589
+ 703
2590
+ 00:53:10,820 --> 00:53:15,200
2591
+ ูŠุฏูˆู†ุช ู†ุชุฑ specify ุงู„ู„ูŠ ู‡ูŠ bounce ู„ุฃู† ุงู„ู€ subtype
2592
+
2593
+ 704
2594
+ 00:53:15,200 --> 00:53:17,880
2595
+ ุญุฏุฏ ููŠู‡ุงุด ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bounce
2596
+
2597
+ 705
2598
+ 00:53:23,040 --> 00:53:26,580
2599
+ ููŠ ุงู„ู€ VHDL ุฅุญู†ุง ุนู†ุง ู…ุนุฑููŠู† ุงู„ู„ูŠ ุจูŠ define
2600
+
2601
+ 706
2602
+ 00:53:26,580 --> 00:53:30,780
2603
+ unconstraint array types ุงู„ู€ bit vector ูˆ ุงู„ู€ string
2604
+
2605
+ 707
2606
+ 00:53:30,780 --> 00:53:34,740
2607
+ ุฅุฐุง ูู€ key ุงู„ููŠุฌุฑ ุงู„ู„ูŠ ููŠ ุจุฏุงูŠุฉ ุงู„ู…ุญุงุถุฑุฉ ูƒุงู† ุชุญุช
2608
+
2609
+ 708
2610
+ 00:53:34,740 --> 00:53:37,440
2611
+ ุงู„ุดู…ุงู„ ุชุญุช ุงู„ู€ bit vector ูˆ ุงู„ู€ string are
2612
+
2613
+ 709
2614
+ 00:53:37,440 --> 00:53:43,200
2615
+ predefined for us ุงู„ู€ bit vector ู…ูˆุฌูˆุฏ ููŠ ุงู„ู€
2616
+
2617
+ 710
2618
+ 00:53:43,200 --> 00:53:47,680
2619
+ standard ุงู„ู„ูŠ ู‡ูŠ package ูˆ ุงู„ู€ subtype
2620
+
2621
+ 711
2622
+ 00:53:52,320 --> 00:53:57,260
2623
+ ูˆ ุงู„ู€ index ุจุชุงุนู‡ is natural ูˆ ุงู„ู€ natural ู†ูุณู‡
2624
+
2625
+ 712
2626
+ 00:53:57,260 --> 00:54:02,280
2627
+ ุนุจุงุฑุฉ ุนู† subtype ู„ุฐู„ูƒ ู„ุงุฒู… ูŠูƒูˆู† ู…ุนุฑู ูƒู…ุงู† ู„ุฐู„ูƒ ู†ูุณ
2628
+
2629
+ 713
2630
+ 00:54:02,280 --> 00:54:05,520
2631
+ ุงู„ู€ natural ู…ุนุฑู ูˆูŠู†ุŸ ููŠ ุงู„ู€ standard package ูŠุนู†ูŠ
2632
+
2633
+ 714
2634
+ 00:54:05,520 --> 00:54:10,160
2635
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bit vector ุนุจุงุฑุฉ ุนู† unconstraint array
2636
+
2637
+ 715
2638
+ 00:54:10,160 --> 00:54:14,180
2639
+ type ู…ุนุฑู ููŠ ุฃูŠ packageุŸ ููŠ ุงู„ู€ package ู‡ุฐู‡ ูˆ ููŠ
2640
+
2641
+ 716
2642
+ 00:54:14,180 --> 00:54:21,310
2643
+ ุชุนุฑูŠูู‡ ู…ุณุชุฎุฏู… ุงู„ู€ natural ูƒู€ type ู„ู„ู€ index subtype
2644
+
2645
+ 717
2646
+ 00:54:21,310 --> 00:54:25,590
2647
+ ู„ู„ู€ index ู„ุฐู„ูƒ ู‡ุชู„ุงู‚ูŠ ู†ูุณู‡ ู…ุนุฑู ููŠ ู†ูุณ ุงู„ู€ package
2648
+
2649
+ 718
2650
+ 00:54:25,590 --> 00:54:34,590
2651
+ ููŠู‡
2652
+
2653
+ 719
2654
+ 00:54:34,590 --> 00:54:38,530
2655
+ ุจุฑุถู‡ ุงู„ู€ string ู…ุนุฑู ุจุฑุถู‡ predefined already ูˆ
2656
+
2657
+ 720
2658
+ 00:54:38,530 --> 00:54:42,930
2659
+ ุจูŠุณุชุฎุฏู… ุงู„ู€ subtype positive ุงู„ู€ positive ู‡ุฐุง ุจูŠุจุฏุฃ
2660
+
2661
+ 721
2662
+ 00:54:42,930 --> 00:54:46,730
2663
+ ู…ู† ูˆุงุญุฏ ูˆ ุทุงู„ุน ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃุฑุจุน ุจูŠุณุชุฎุฏู… ุงู„ู€ positive
2664
+
2665
+ 722
2666
+ 00:54:46,730 --> 00:54:48,390
2667
+ ูƒู€ type ู„ู„ู€ index
2668
+
2669
+ 723
2670
+ 00:54:51,180 --> 00:54:56,700
2671
+ ูˆ ุจุฑุถู‡ ู…ุนุฑู ูˆูŠู† ุงู„ู€ string ููŠ ุงู„ู€ standard package
2672
+
2673
+ 724
2674
+ 00:54:56,700 --> 00:55:00,800
2675
+ ุดูˆู
2676
+
2677
+ 725
2678
+ 00:55:00,800 --> 00:55:06,060
2679
+ ูƒูŠู ู…ุนุฑู ุงู„ู€
2680
+
2681
+ 726
2682
+ 00:55:06,060 --> 00:55:10,320
2683
+ string is
2684
+
2685
+ 727
2686
+ 00:55:10,320 --> 00:55:15,500
2687
+ array ูุนู„ุง positive range ู…ุน ุงู„ู€ range of ุงู„ู€ index
2688
+
2689
+ 728
2690
+ 00:55:15,500 --> 00:55:23,650
2691
+ ุจูŠุจุฏุฃ ู…ู† ูˆุงุญุฏ ูˆ ุทุงู„ุน ูˆ ูุนู„ุง it is a unconstraint ู…ุด
2692
+
2693
+ 729
2694
+ 00:55:23,650 --> 00:55:27,730
2695
+ ู‡ูŠูƒ ูˆู„ุง of character ูƒู„ element ู…ู†ู‡ ุฃูŠุด ู†ูˆุนู‡
2696
+
2697
+ 730
2698
+ 00:55:27,730 --> 00:55:36,170
2699
+ character what is character ุฃูŠูˆุฉ enumeration type
2700
+
2701
+ 731
2702
+ 00:55:36,170 --> 00:55:41,790
2703
+ ู…ุด ู‡ูŠูƒ ูˆู„ุง ุงู„ู„ูŠ ู…ุงุฑ ุนู„ูŠู†ุง ูŠุนู†ูŠ ุจุฏู‡ ุชุนุฑูŠู ูˆ ุดูˆูู†ุง
2704
+
2705
+ 732
2706
+ 00:55:41,790 --> 00:55:45,610
2707
+ ุชุนุฑูŠูู‡ ู…ุด ู‡ูŠูƒ ูˆู„ุง ู…ุธุจูˆุท ุงู„ู„ูŠ ู…ุงุฑ ุนู„ูŠู†ุง okay
2708
+
2709
+ 733
2710
+ 00:55:58,820 --> 00:56:04,420
2711
+ ุฃูˆ ู…ู…ูƒู† ุฃู†ุช ุชุนู…ู„ ู…ู† ุงู„ุฃุณุงุณ ุงู„ู€ array ุงู„ู€ type ุชุจุน ุงู„ู€
2712
+
2713
+ 734
2714
+ 00:56:04,420 --> 00:56:09,180
2715
+ array ุชุนู…ู„ ุงู„ู€ constraint ุชุญุฏุฏ ููŠู‡ ุงู„ู€ index range
2716
+
2717
+ 735
2718
+ 00:56:09,180 --> 00:56:11,940
2719
+ ููŠ ู†ูุณ ุงู„ู€ type declaration ูˆ ุงู„ู€ signatures ุชุจุนู‡
2720
+
2721
+ 736
2722
+ 00:56:11,940 --> 00:56:17,060
2723
+ ุจุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุทู„ุน ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ู‡ุงูŠ constraint
2724
+
2725
+ 737
2726
+ 00:56:17,060 --> 00:56:19,820
2727
+ array type declaration ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ ุงู„ู€ type ู…ู†
2728
+
2729
+ 738
2730
+ 00:56:19,820 --> 00:56:21,800
2731
+ ุงู„ุฃุณุงุณ ุชุจุน ุงู„ู€ array ุฃู…ุง add constraint ุฒูŠ ู…ุง ูุตู„ู†ุง
2732
+
2733
+ 739
2734
+ 00:56:21,800 --> 00:56:25,910
2735
+ ุฃูˆ ุงู„ู„ูŠ ุฌูŠุชู†ุง ู†ุนู…ู„ู‡ ุฃูŠุด constraint ูŠุนู†ูŠ ุงุชุญุฏุฏ
2736
+
2737
+ 740
2738
+ 00:56:25,910 --> 00:56:30,310
2739
+ ุจุงู„ู…ุฑุฉ ู…ุน ุงู„ู€ type declaration ุงู„ู€ bounds ุชุจุน ุงู„ู€
2740
+
2741
+ 741
2742
+ 00:56:30,310 --> 00:56:35,590
2743
+ index ุฃูˆ ุงู„ู€ indices ุฅุฐุง ู‡ูŠ ุฃูƒุซุฑ ู…ู† ู…ู† dimension
2744
+
2745
+ 742
2746
+ 00:56:35,590 --> 00:56:41,810
2747
+ ุทู„ุน ุชูƒุชุจ type ูˆุงุณู… ุงู„ู€ type is currently discrete
2748
+
2749
+ 743
2750
+ 00:56:41,810 --> 00:56:45,290
2751
+ range ุฅุฐุง ููŠ ุฃูƒุซุฑ ูˆู„ูƒู† ู‡ู†ุง it is not supported ุฅุฐุง
2752
+
2753
+ 744
2754
+ 00:56:45,290 --> 00:56:50,790
2755
+ ู…ุง ุฃู†ุช ุดุงูŠู ุจุชูƒุชุจ ุจุชูƒู…ู„ ุจุชูƒุฑุฑ of element subtype
2756
+
2757
+ 745
2758
+ 00:56:50,790 --> 00:56:54,570
2759
+ indication ุงู„ู€ type ุชุจุน ูƒู„ element ุงู„ู€ type ุชุจุน
2760
+
2761
+ 746
2762
+ 00:56:54,570 --> 00:57:01,370
2763
+ ุฃูŠ ุด ูƒู„ element ุจุณ ุทุงู„ุน ุงู„ุฌุฏ ูƒูŠู ุฃู† ุงู„ู€ .. ู†ุดูˆู ุงู„ู€
2764
+
2765
+ 747
2766
+ 00:57:01,370 --> 00:57:11,930
2767
+ discrete type ูƒูŠู ู†ูˆุตู discrete range ุงู„ู€
2768
+
2769
+ 748
2770
+ 00:57:11,930 --> 00:57:16,590
2771
+ discrete range ุฃู…ุง ุฃู†ู‡ ุงู„ู€ sub range of animation
2772
+
2773
+ 749
2774
+ 00:57:16,590 --> 00:57:17,970
2775
+ ุฃูˆ ุงู„ู€ integer type
2776
+
2777
+ 750
2778
+ 00:57:21,300 --> 00:57:27,160
2779
+ ูŠุนู†ูŠ ุฃู…ุง ุฃู†ู‡ ุฌุฒุก ู…ู† integer type ุฃูˆ sub range ู…ู†
2780
+
2781
+ 751
2782
+ 00:57:27,160 --> 00:57:30,140
2783
+ evaluation type ุชุนุฑู ุงู„ู€ evaluation type ุฒูŠ ู…ุซู„ุง
2784
+
2785
+ 752
2786
+ 00:57:30,140 --> 00:57:34,160
2787
+ character ููŠู‡ ูƒุฐุง element ู…ู† 256 ู…ู…ูƒู† ุชุฃุฎุฐ ู…ู†ู‡ ูˆ
2788
+
2789
+ 753
2790
+ 00:57:34,160 --> 00:57:39,180
2791
+ ุชู‚ูˆู„ ู„ูˆ ู‚ู„ุช ู„ู‡ ูƒุฐุง ูˆูƒุฐุง ูƒุฃู†ูƒ ุฃุฎุฏ ุฌุฒุก ู…ู†ู‡ ุชู…ุงู…ุŸ
2792
+
2793
+ 754
2794
+ 00:57:39,180 --> 00:57:42,960
2795
+ ู‡ู†ุดูˆู
2796
+
2797
+ 755
2798
+ 00:57:42,960 --> 00:57:50,690
2799
+ ูƒุฏู‡ุŒ ุดูˆููŠู†ุง ู…ุซู„ุง ู„ูˆ ู‚ู„ู†ุง type word is array ุนู…ุงู„
2800
+
2801
+ 756
2802
+ 00:57:50,690 --> 00:57:55,270
2803
+ ุจูŠุนู…ู„ definition ู„ู€ array type ูˆ
2804
+
2805
+ 757
2806
+ 00:57:55,270 --> 00:58:00,690
2807
+ ุจุนุฏูŠู† ุทู„ุน ูุนู„ุง ู‡ูŠุญุฏุฏ ุงู„ู€ range ุนู„ู‰ ุทูˆู„ 15 down to
2808
+
2809
+ 758
2810
+ 00:58:00,690 --> 00:58:04,830
2811
+ 0 15 down to 0 ู‡ุฐุง sub range ู…ู† ุงู„ู€ integer range
2812
+
2813
+ 759
2814
+ 00:58:04,830 --> 00:58:10,690
2815
+ ู…ุด ู‡ูŠูƒ ูˆู„ุง sub range ู…ู† ุฃูŠุด ู…ู† ุงู„ู€ integer range
2816
+
2817
+ 760
2818
+ 00:58:10,690 --> 00:58:13,850
2819
+ ุฃูˆ ูƒู„ element ู…ู† ุงู„ู€ array ุนุดุงู† ู‡ู†ุง standard
2820
+
2821
+ 761
2822
+ 00:58:13,850 --> 00:58:18,210
2823
+ logical ุนุงุฑู ู…ู…ูƒู† ุจุฏูŠ ุงุณุชุฎุฏู…ู‡ ููŠ object ุจู‚ูˆู„ data
2824
+
2825
+ 762
2826
+ 00:58:18,210 --> 00:58:20,630
2827
+ word signal ุฃูŠุด ู†ูˆุนู‡ุง word ุงู„ู„ูŠ ู‡ูˆ ุงูŠู‡ ุฏูˆ ุฃู†ุง
2828
+
2829
+ 763
2830
+ 00:58:20,630 --> 00:58:25,490
2831
+ ู…ุนุฑูู‡ ู…ุนู†ุงุชู‡ ู‡ุฐุง constraint array type declaration
2832
+
2833
+ 764
2834
+ 00:58:25,490 --> 00:58:31,110
2835
+ ู…ุด ู‡ูŠู‚ู„ู‚ู‡ ู„ุฃ ู„ุฅู†ู‡ ู‡ู†ุง ุจุงู„ู…ุฑุฉ ุญุฏุฏ ุงู„ู€ range ุชุจุน ุงู„ู€
2836
+
2837
+ 765
2838
+ 00:58:31,110 --> 00:58:35,710
2839
+ index ู„ู…ุง ู†ุญุฏุฏ ุงู„ู€ range ุจู†ุฒู… .. ุจู†ุฒู… .. ุจู†ุฒู… ุนุดุงู†
2840
+
2841
+ 766
2842
+ 00:58:35,710 --> 00:58:44,070
2843
+ ู†ุญุฏุฏ ุงู„ู€ type ุชุจุน ุงู„ู€ index ุงู‡ ู„ุง ุฎู„ุงุต ุงูŠู‡ ู†ุนู… okay
2844
+
2845
+ 767
2846
+ 00:58:46,400 --> 00:58:50,000
2847
+ ู„ุงุฒู…ุด ุงุชุญุฏุฏ ู„ุฃู† ุฃู…ุง ุฃู†ุช ุจุชุฃุฎุฐ ู…ู† ุงู†ุชุฌุงุฑ ุฒูŠ ูƒุฏู‡ ุงู„ู€
2848
+
2849
+ 768
2850
+ 00:58:50,000 --> 00:58:52,680
2851
+ 15 ๏ฟฝ๏ฟฝูŠู‡ ุงู„ู„ูŠ ูŠุชุฑู‚ุต ุฃู† ู‡ูˆ ุงู†ุชุฌุงุฑ ูˆู‡ุฐุง ุงู„ู„ูŠ ูŠุชุฑู‚ุต
2852
+
2853
+ 769
2854
+ 00:58:52,680 --> 00:58:56,360
2855
+ ุฃู† ุงู†ุชุฌุงุฑ ุณุงุนุชู‡ุง ูŠุนุชุจุฑ ุงู„ู€ values ู…ู† 0 ู„ 15 ุฃุฎุฏ
2856
+
2857
+ 770
2858
+ 00:58:56,360 --> 00:58:59,920
2859
+ ูƒุฃู†ู‡ sub-res ุจุงู„ุงู†ุชุฌุงุฑ ุชู…ุงู… ุฃูˆ ู‚ูˆู„ู†ุง ุจุชุญุฏุฏ ..
2860
+
2861
+ 771
2862
+ 00:58:59,920 --> 00:59:04,900
2863
+ ุจุชู‚ูˆู„ู‡ ู…ุซู„ุง ุงู„ู€ .. ุจุชุฃุฎุฐ ู‚ูŠู… ู…ู† .. ู…ู† emulation
2864
+
2865
+ 772
2866
+ 00:59:04,900 --> 00:59:07,800
2867
+ type ุชู…ุงู…
2868
+
2869
+ 773
2870
+ 00:59:11,120 --> 00:59:15,200
2871
+ ุดูˆู ูƒูŠู ุชุนู…ู„ ุงู„ู€ referencing ู„ู„ู€ arrays ูˆ ุงู„ู€
2872
+
2873
+ 774
2874
+ 00:59:15,200 --> 00:59:19,340
2875
+ elements ุจุชุงุนุช ุงู„ู€ arrays ู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ู€ array ูƒู„ู‡
2876
+
2877
+ 775
2878
+ 00:59:19,340 --> 00:59:24,920
2879
+ ุฃูˆ ุฃูŠ element ู…ู†ู‡ ุฃูˆ ุดุฑูŠุญุฉ slice ู…ุด ุดุฑุท ูƒู„ู‡ ู…ู…ูƒู†
2880
+
2881
+ 776
2882
+ 00:59:24,920 --> 00:59:32,900
2883
+ element ุชู…ุงู… ุฃูˆ ูƒู„ ุงู„ู€ array ุฃูˆ ุฌุฒุก ู…ู†ู‡ ุจุณ ุฌุฒุก
2884
+
2885
+ 777
2886
+ 00:59:32,900 --> 00:59:37,840
2887
+ consecutive ูŠูƒูˆู† ูˆุฑุงุก ุจุนุถู‡ ุดุฑูŠุญุฉ slice ุจูŠุณู…ูˆู‡ุง ููŠ
2888
+
2889
+ 778
2890
+ 00:59:37,840 --> 00:59:44,150
2891
+ expression ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุดูˆู ูƒูŠู ุงู„ุฃูˆู„ ูŠุชุนุงู…ู„ ู…ุนุงูƒ ูƒู€
2892
+
2893
+ 779
2894
+ 00:59:44,150 --> 00:59:51,390
2895
+ single object single composite object ููŠ
2896
+
2897
+ 780
2898
+ 00:59:51,390 --> 00:59:54,670
2899
+ ุงู„ู€ assignments ุนุดุงู† ุชุนู…ู„ assignment ุชู‚ูˆู„ ู…ุด ู‡ู†
2900
+
2901
+ 781
2902
+ 00:59:54,670 --> 00:59:58,990
2903
+ ู‚ุฑูŠุจ ูƒุฏู‡ ุจูŠุณูˆูŠ ูƒุฏู‡ ู„ุงุฒู… ุฃูˆู„ ุดุฑุท ูŠูƒูˆู†ูˆุง ุฃู‚ูˆู„ู‡ู… the
2904
+
2905
+ 782
2906
+ 00:59:58,990 --> 01:00:
2907
+
2908
+ 801
2909
+ 01:01:07,010 --> 01:01:08,770
2910
+ brackets ุงุญู†ุง ููŠ ุงู„ู„ุบุงุช ุงู„ุนุงุฏูŠุฉ ุจุชู‚ุน ุฏูŠ square
2911
+
2912
+ 802
2913
+ 01:01:08,770 --> 01:01:11,090
2914
+ brackets ู…ุด ู‡ูŠูƒ ูˆู„ุงูƒ ู„ูƒู† ู‡ู†ุง ุจุชุญุทู‡ ุจูŠู† ุฃูŠู‘ุงุด
2915
+
2916
+ 803
2917
+ 01:01:11,090 --> 01:01:13,970
2918
+ parenthesis ุนุงุฏูŠุฉ ู…ุซู„ุง ุฃู†ุง ุจุฏูŠ ู‚ู„ู… ุงู„ุชุงู„ุช ุจุณ ุจุฏูŠ
2919
+
2920
+ 804
2921
+ 01:01:13,970 --> 01:01:21,190
2922
+ ุฃุบูŠุฑู‡ X ุชู„ุงุชุฉ ุจูŠุณุงูˆูŠ Zero ู…ุซู„ุง ุชู…ุงู… ุจูŠุณุงูˆูŠ ุฃูŠู‘ุงุด
2923
+
2924
+ 805
2925
+ 01:01:21,190 --> 01:01:28,050
2926
+ Zero ุฎู„ูŠ ุจุงู„ูƒ ุงู„ statement ู‡ุฐูŠ is correct ู„ุฅู†ู‡ ุฃูŠู‘ุด
2927
+
2928
+ 806
2929
+ 01:01:28,050 --> 01:01:32,970
2930
+ ุงู„ type ุทุจุนุง X ุชู„ุงุชุฉ ู‡ู†ุง ุดูˆุŸ
2931
+
2932
+ 807
2933
+ 01:01:35,180 --> 01:01:38,520
2934
+ Standard logic ู…ุธุจูˆุท ู…ุด vector ุงู„ู€ X standard logic
2935
+
2936
+ 808
2937
+ 01:01:38,520 --> 01:01:44,020
2938
+ vector ู„ูƒู† ุงู„ู€ X of ุชู„ุงุชุฉ standard logic ุชู…ุงู… ูˆุงุญุฏุฉ
2939
+
2940
+ 809
2941
+ 01:01:44,020 --> 01:01:46,880
2942
+ ุงู„ู‚ูŠู… ุชุจุน standard logic ู…ู…ูƒู† ูŠุงุฎุฏู‡ุง is zero
2943
+
2944
+ 810
2945
+ 01:01:46,880 --> 01:01:49,680
2946
+ between zeros ู…ุด ู‡ูŠูƒ ูˆู„ุง ู…ุนู†ุงุชู‡ ุงู„ types ุชุจุน
2947
+
2948
+ 811
2949
+ 01:01:49,680 --> 01:01:53,960
2950
+ ุงู„ุชุทุฑููŠู† ู‚ุฑูŠู‡ ุงู‡ ุฏู‡ same ู…ุนู†ุงุชู‡ ู…ุด ู‡ูŠู‚ูˆู„ูƒ ุงู†ู‡ ููŠ
2951
+
2952
+ 812
2953
+ 01:01:53,960 --> 01:01:56,920
2954
+ ุฃุฑุจุน ู…ุด ู‡ูŠูƒ ูˆู„ุง it works ุทุจ ูุงู„ุญุงู„ุฉ ุฏูŠ ุงู„ elements
2955
+
2956
+ 813
2957
+ 01:01:56,920 --> 01:02:00,600
2958
+ zero ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู‡ู„ ุงุชุบูŠุฑุชุŸ ุทุจุนุง ู…ุง ุงุชุบูŠุฑุชุด ุงูƒูŠุฏ
2959
+
2960
+ 814
2961
+ 01:02:03,130 --> 01:02:08,630
2962
+ ุฃูˆ ู…ู…ูƒู† ุชุงุฎุฏ slice ูŠุนู†ูŠ ุฌุฒุก ู…ู† ุงู„ one dimensional
2963
+
2964
+ 815
2965
+ 01:02:08,630 --> 01:02:20,950
2966
+ array ูƒุฐุง element ูˆ ูˆุฑุง ุจุนุถ ุทุจุนุง
2967
+
2968
+ 816
2969
+ 01:02:20,950 --> 01:02:22,190
2970
+ ู„ูˆ ุฎุฏุช slice
2971
+
2972
+ 817
2973
+ 01:02:37,300 --> 01:02:41,980
2974
+ ู…ู† signal slice ู‡ูˆ signal ูŠุนู†ูŠ ุทุจุนุง signal ุจู‚ู‰
2975
+
2976
+ 818
2977
+ 01:02:41,980 --> 01:02:49,160
2978
+ ุงู„ู‡ุง ู†ูุณ ุงู„ base type ุฒูŠ ุงู„ array ุงู„ู„ูŠ ู…ุง ุฃุฎุฏู‡ ู…ู†ู‡
2979
+
2980
+ 819
2981
+ 01:02:49,160 --> 01:02:59,580
2982
+ slice ุชู…ุงู… ูŠุนู†ูŠ ุจู…ุนู†ู‰ ู„ูˆ ุฃู†ุง ุนุงู…ู„ vector array ูƒุงู†
2983
+
2984
+ 820
2985
+ 01:02:59,580 --> 01:03:03,440
2986
+ standard logic vector ูˆู‚ุงู„ ู…ู†ู‡ slice slice ูŠุนู†ูŠ
2987
+
2988
+ 821
2989
+ 01:03:03,440 --> 01:03:08,000
2990
+ ุทุจุนุง standard logic vector ุทู„ุน ุนู„ู‰ ุงู„ู€ Example
2991
+
2992
+ 822
2993
+ 01:03:08,000 --> 01:03:12,700
2994
+ ุงู„ุชุงู„ูŠ ุงู„ address is a signal standard vector ุฎู…ุณ
2995
+
2996
+ 823
2997
+ 01:03:12,700 --> 01:03:17,980
2998
+ ุนุดุฑุฉ ู„ุงูŠุฉ ูƒุงู… ู„ุงูŠุฉ ุฒูŠุฑูˆ ูˆุงู„ low address ุจุฑุถู‡
2999
+
3000
+ 824
3001
+ 01:03:17,980 --> 01:03:24,500
3002
+ standard vector ุณุจุนุฉ downers down to zero ู‡ุชุจู†ูุน
3003
+
3004
+ 825
3005
+ 01:03:24,500 --> 01:03:28,660
3006
+ ุงุนู…ู„ assignment ุงู„ุชุงู„ูŠ ุงู‚ูˆู„ ุงู„ low address ู‡ุฐุง ูƒู…
3007
+
3008
+ 826
3009
+ 01:03:28,660 --> 01:03:36,890
3010
+ ุจุช ุชู…ุงู†ูŠุฉ ูŠุณุงูˆูŠ address ุณุจุนุฉ down to zero ุทุจ ุงู„
3011
+
3012
+ 827
3013
+ 01:03:36,890 --> 01:03:45,870
3014
+ address ูƒุงู… bitุŸ ุงุตู„ุง 16 ู‡ุงูŠ ุงู„ address 16 bit ู„ูƒู†
3015
+
3016
+ 828
3017
+ 01:03:45,870 --> 01:03:50,010
3018
+ ู‡ูŠ ููŠ ุงู„ safe ุชุงุฎุฏุช ูƒุงู… bit ู…ู†ู‡ุŸ ุชู…ุงู†ูŠุฉ ู…ุด ุดุฑุท
3019
+
3020
+ 829
3021
+ 01:03:50,010 --> 01:03:53,450
3022
+ ุงุจุฏุฃ ู…ู† zero ู…ู…ูƒู† ุงุฎุฏ ุงูŠ ุชู…ุงู†ูŠุฉ ุณุงุนุชู‡ุง ุจูŠู‚ูˆู„ you
3023
+
3024
+ 830
3025
+ 01:03:53,450 --> 01:03:56,130
3026
+ are taking a slice of ุงู„ address ุจุงุฎุฏูŠู† ู…ู†ู‡ just a
3027
+
3028
+ 831
3029
+ 01:03:56,130 --> 01:03:57,750
3030
+ slice ุดุฑูŠุญ
3031
+
3032
+ 832
3033
+ 01:04:00,630 --> 01:04:03,390
3034
+ ูˆ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ุทุฑููŠู† ุงู„ู„ูŠ ู‡ู… the same length ู‡ุฏู‡
3035
+
3036
+ 833
3037
+ 01:04:03,390 --> 01:04:07,110
3038
+ ู‚ุฏุฑุด ุงู„ length ุชุจุนู‡ ุณุจุงู†ูŠุง ูˆ ู‡ุฏู‡ ุนู…ุถู‡ ูƒุงู… ูŠุนู†ูŠ
3039
+
3040
+ 834
3041
+ 01:04:07,110 --> 01:04:11,830
3042
+ it's not compatible ู…ุงููŠุด problem ู…ุด ู‡ูŠูƒ ูˆู„ุง ..
3043
+
3044
+ 835
3045
+ 01:04:11,830 --> 01:04:15,970
3046
+ okay ุงู„
3047
+
3048
+ 836
3049
+ 01:04:15,970 --> 01:04:19,610
3050
+ aggregate ูŠุนู†ูŠ
3051
+
3052
+ 837
3053
+ 01:04:19,610 --> 01:04:22,550
3054
+ ุงู„ุฅุฌู…ุงู„ูŠุงุช ุงู„ุฅุฌู…ุงู„ูŠ ูŠุนู†ูŠ ู‡ู†ุดูˆู ุฃู†ุง ุฃูŠู‘ุด ุฅุฌู…ุงู„ูŠ ู‚ุตุฏู‡
3055
+
3056
+ 838
3057
+ 01:04:25,620 --> 01:04:28,660
3058
+ ุงู„ู€ aggregate ุนุจุงุฑุฉ ุจูŠุนู…ู„ combining ู„ one or more
3059
+
3060
+ 839
3061
+ 01:04:28,660 --> 01:04:32,660
3062
+ values ุนุดุงู† ูŠุนู…ู„ูˆู‡ุง composite ุจุชุฌู…ุน ูƒุงู… ู…ู† value
3063
+
3064
+ 840
3065
+ 01:04:32,660 --> 01:04:35,940
3066
+ ู…ุน ุจุนุถ ุนู„ู… ุงู†ู‡ ู…ุงูŠู„ูŠุด composite ุจุชุณู…ูŠ aggregate
3067
+
3068
+ 841
3069
+ 01:04:35,940 --> 01:04:38,980
3070
+ ุจุชุฌู…ุน
3071
+
3072
+ 842
3073
+ 01:04:38,980 --> 01:04:46,280
3074
+ ู…ุซู„ุง scalars ุทู„ุน
3075
+
3076
+ 843
3077
+ 01:04:46,280 --> 01:04:52,060
3078
+ ุนู„ู‰ ุงู„ syntax ุชุจุนู‡ุง ูŠู…ุซู„ syntax ุชุจุนู‡ุง ู…ุด ู‡ูŠุชุถุญูŠู‡ุง
3079
+
3080
+ 844
3081
+ 01:04:52,060 --> 01:04:54,960
3082
+ ูƒุชูŠุฑ ู„ุบูŠุฑ ู…ุน ุงู„ exams ู„ูƒู† ุงู†ู…ุฑ ุนู„ู‰ ุงู„ syntax ุฌุงู„ูƒ
3083
+
3084
+ 845
3085
+ 01:04:54,960 --> 01:04:59,160
3086
+ ุงู„ aggregate ุฎู„ุต
3087
+
3088
+ 846
3089
+ 01:04:59,160 --> 01:05:02,500
3090
+ ุงู„ text ุงู„ุฃุฎุฑ ุฃุณู‡ู„ูƒ ุนู„ู‰ ููƒุฑุฉ ู‡ุชุฌูŠ ุงู„ุตุนูˆุจุฉ ููŠ ูู‡ู…ู‡
3091
+
3092
+ 847
3093
+ 01:05:02,500 --> 01:05:05,240
3094
+ ูˆุฌูŠุช ู…ุงุดูŠ ุงู„ุญุงู„ ููŠ ุงู„ุฃูˆู„ ุฃุนู…ู„ูƒ ุงู„ุฃู…ุซู„ุฉ ูˆ ุจุนุฏูŠู†
3095
+
3096
+ 848
3097
+ 01:05:05,240 --> 01:05:09,360
3098
+ ุฃู‚ูˆู„ูƒ ุงู„ text ู…ุงุดูŠ ุงู„ุญุงู„ okay ู…ุงุดูŠ ู‡ูŠุบู„ุจูƒ ุดูˆูŠู‡
3099
+
3100
+ 849
3101
+ 01:05:12,130 --> 01:05:15,050
3102
+ ู‡ุฐู‡ ุจุฑุถู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ syntax ุงู„ู„ูŠ ุจูŠุนู…ู„ู‡ุง ุฅู„ูŠูƒ ููŠ ุงู„
3103
+
3104
+ 850
3105
+ 01:05:15,050 --> 01:05:17,950
3106
+ boxes ู‡ุฐู‡ ู…ููŠุฏุฉ ุจุงู„ู†ุณุจุฉ ุฅู„ูŠูƒุŒ ุฏู‡ ุจูŠุฏูŠู„ูƒ ุงู„ form ูˆ
3107
+
3108
+ 851
3109
+ 01:05:17,950 --> 01:05:20,510
3110
+ syntax ุชุจุน ุงู„ุงุดูŠ ุนุดุงู† ุชุชุนูˆุฏ ุนู„ู‰ ุฎุฑุงุฆุทู‡ุŒ ู…ุด ุดุฑุท ุจุนุฏ
3111
+
3112
+ 852
3113
+ 01:05:20,510 --> 01:05:23,070
3114
+ ูƒุฏู‡ ู„ู…ุง ุชูƒุจุฑ .. ู„ู…ุง ู…ุฎูƒ ูŠูˆุณุน ูŠุนู†ูŠ ู…ุด ุชูƒุจุฑ ููŠ
3115
+
3116
+ 853
3117
+ 01:05:23,070 --> 01:05:26,430
3118
+ ุงู„ุนู…ุฑุŒ ุงู„ู„ูŠ ู‡ูˆ ู…ุฎูƒ ูŠูƒุจุฑุŒ ุฃู…ุงู…ุŸ ุฅู†ู‡ ุฏุงูŠู…ุง ุงู„ุฃุดูŠ ุจ
3119
+
3120
+ 854
3121
+ 01:05:26,430 --> 01:05:28,770
3122
+ examples ุฅู†ูƒ ุชูู‡ู… ุงู„ุฃุดูŠ ูƒูŠู ูŠุตูŠุฑ ุฃูˆ ูƒุฏู‡ุŒ ู…ุด ู‡ูŠูƒูˆุง
3123
+
3124
+ 855
3125
+ 01:05:28,770 --> 01:05:31,650
3126
+ ุฃู„ุงุŸ ุงู„ู…ูุฑูˆุถ ูŠุนู†ูŠ ุชูˆุตู„ ู„ู…ุฑุญู„ ู…ู† ุฑุฎูŠู‚ูƒ ูู‚ุท ู…ุด
3127
+
3128
+ 856
3129
+ 01:05:31,650 --> 01:05:34,290
3130
+ syntax ุชุนุฑู ุงู„ุฃุดูŠุŒ ู…ุด ู‡ูŠูƒูˆุง ุฃู„ุงุŸ ู…ู† ุงู„ .. ู„ูƒู† ุฎูŠู†ุง
3131
+
3132
+ 857
3133
+ 01:05:34,290 --> 01:05:37,090
3134
+ ู†ุจุฏุฃ ุฌุฏ ุจุงู„ .. ุจุงู„ .. ุจุงู„ examples
3135
+
3136
+ 858
3137
+ 01:05:42,130 --> 01:05:54,130
3138
+ ูŠุนู†ูŠ ู…ุซู„ุง ู„ูˆ ุฃู†ุง ุนู†ุฏูŠ signal ุงุณู…ู‡ุง X ู…ู…ูƒู†
3139
+
3140
+ 859
3141
+ 01:05:54,130 --> 01:05:56,490
3142
+ ุงุณุชุฎุฏู… ุงู„ aggregate ุจุฅู†ูŠ ุฃุฌู…ุน ูƒุงู… ู…ู† ุงู„ character
3143
+
3144
+ 860
3145
+ 01:05:56,490 --> 01:06:00,250
3146
+ ุงู„ู„ูŠ ูŠุชุนู„ู‚ ุจุงุฑูŠ ูˆ ุงุฏูŠู‡ุง ู„ู„ X ุฒูŠ ูƒุฏู‡ ุดูˆู ู„ูˆ ุชุงู„ X
3147
+
3148
+ 861
3149
+ 01:06:00,250 --> 01:06:05,270
3150
+ ูŠุณุงูˆูŠ between two parentheses ุงู„ูˆุงุญุฏ between
3151
+
3152
+ 862
3153
+ 01:06:05,270 --> 01:06:07,730
3154
+ single course ูˆ Zero between single course and so
3155
+
3156
+ 863
3157
+ 01:06:07,730 --> 01:06:13,320
3158
+ on ุณุงุนุชู‡ุง ู‡ุฌู…ุนู„ูƒ ู‡ุฏูˆู„ ูƒstring ูƒุฃู† ูˆุงุญุฏ ูˆุฒูŠุฑ ูˆ ูˆุงุญุฏ
3159
+
3160
+ 864
3161
+ 01:06:13,320 --> 01:06:18,140
3162
+ ูˆ ูˆุงุญุฏ ูˆ ุทูˆูŠู„ ููŠ ุงู„ X ุงู„ุตุญ
3163
+
3164
+ 865
3165
+ 01:06:18,140 --> 01:06:26,600
3166
+ ู„ุงุฒู… ุงู„ X ุชูƒูˆู† ุฃุฑุจุน ุจูŠุชุฒ ุณุงุนุฉ ุงู„ left most bit of
3167
+
3168
+ 866
3169
+ 01:06:26,600 --> 01:06:31,000
3170
+ X ู‡ูŠุฎุฏ ุงู„ู‚ูŠู…ุฉ ูƒู… ูˆุงุญุฏ ูˆ ุงู„ next ุงู„ู„ูŠ ูˆุฑุง ู‡ูŠุฎุฏ ูƒู…
3171
+
3172
+ 867
3173
+ 01:06:31,000 --> 01:06:32,900
3174
+ ูƒู… ุฒูŠุฑ ูˆ and so on
3175
+
3176
+ 868
3177
+ 01:06:49,210 --> 01:06:56,170
3178
+ ู„ูˆ ููŠ ุนู†ุฏูƒ expression ุงูˆ ุฒูŠ ุงู„ statement ู‡ุฐู‡ ุชู„ุงุญุธ
3179
+
3180
+ 869
3181
+ 01:06:56,170 --> 01:06:58,890
3182
+ ู‡ู†ุง implied ุนู„ู‰ ุงู† ุงู„ bit ู‡ุฐุง ู‡ูŠุฑูˆุญ ู„ู„ bit ุงู„ู„ูŠ
3183
+
3184
+ 870
3185
+ 01:06:58,890 --> 01:07:01,850
3186
+ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ูˆ ุงู„ x ู…ุด ู‡ูŠูƒูˆู‡ุง ู„ุฃ ูˆ ู‡ุฐุง ูŠุฑูˆุญ ู„ู„ูŠ
3187
+
3188
+ 871
3189
+ 01:07:01,850 --> 01:07:05,270
3190
+ ุจุนุฏู‡ ูู‡ุฐุง ู†ูˆุน ู…ู† ุงู„ positional association ู…ุด
3191
+
3192
+ 872
3193
+ 01:07:05,270 --> 01:07:09,970
3194
+ ู‡ูŠูƒูˆู‡ุง ู„ุฃ positional association ูŠุนู†ูŠ ู…ู† ู…ูƒุงู† ุงู„
3195
+
3196
+ 873
3197
+ 01:07:09,970 --> 01:07:14,950
3198
+ value ุชู…ุงู… ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญุฏุฏ ู„ูˆ ุฃูŠู‘ุด bit ู‡ุชุฑูˆุญ ู…ู† ุงู„ x
3199
+
3200
+ 874
3201
+ 01:07:14,950 --> 01:07:17,390
3202
+ ููŠ ุงู„ู…ุซุงู„ ู‡ุฐุง ู…ุซู„ุง
3203
+
3204
+ 875
3205
+ 01:07:37,170 --> 01:07:42,770
3206
+ Okay ููŠู‡ ููŠ ุงู„ู…ู‚ุงุจู„ ุงู„ู€ Named Association ุฒูŠ ู„ู…ุง
3207
+
3208
+ 876
3209
+ 01:07:42,770 --> 01:07:46,890
3210
+ ู†ุชูƒู„ู… ุนู† ุงู„ ports ูุงูƒุฑูŠู†ุŸ ุนู„ู‰ ุงู„ port map ุงู„ Named
3211
+
3212
+ 877
3213
+ 01:07:46,890 --> 01:07:51,870
3214
+ Association ู„ูˆ
3215
+
3216
+ 878
3217
+ 01:07:51,870 --> 01:07:55,490
3218
+ ุชุชุนู…ู„ู‡ุง ุจุดูƒู„ ุตุฑูŠุญ ู…ุด implied ุณุงุนุชู‡ุง ุจู†ุณู…ูŠู‡ุง Named
3219
+
3220
+ 879
3221
+ 01:07:55,490 --> 01:08:01,090
3222
+ Association ุณุงุนุชู‡ุง
3223
+
3224
+ 880
3225
+ 01:08:01,090 --> 01:08:03,890
3226
+ ุจุชุณุชุฎุฏู… ู„ู„ุฃุฑุณู„ ุงู„ index ุงู„ elements
3227
+
3228
+ 881
3229
+ 01:08:07,730 --> 01:08:11,350
3230
+ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู…ุซุงู„ ุงู„ูุงุชุฑ ูƒูŠู ู…ู…ูƒู† ุงุนู…ู„ู‡ ุจุชู‚ูˆู„ู‡ ุงู„ X
3231
+
3232
+ 882
3233
+ 01:08:11,350 --> 01:08:16,510
3234
+ ุจูŠุณุงูˆูŠ ุชู„ุงุชุฉ ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ูŠู‚ุตุฏู‡ element ุฏู…ุนุฉ ุชู„ุงุชุฉ
3235
+
3236
+ 883
3237
+ 01:08:16,510 --> 01:08:20,350
3238
+ ุงูˆ ุงู„ X ุชุฏูŠู„ู‡ ุงู„ู‚ูŠู…ุฉ ูƒู… ูˆุงุญุฏ element ุฑู‚ู… ูˆุงุญุฏ ูˆ ุงู„
3239
+
3240
+ 884
3241
+ 01:08:20,350 --> 01:08:23,410
3242
+ X ุชุฏูŠู‡ ุฑู‚ู… ุงู„ู‚ูŠู…ุฉ ูƒุฐุง ุชู„ุงุญุธ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐุง ุจูŠุจู‚ู‰
3243
+
3244
+ 885
3245
+ 01:08:23,410 --> 01:08:29,490
3246
+ ุงู†ู‡ ู…ุด ุดุฑุท ูŠูƒูˆู† ู…ุฑุชุจูŠู† ู…ุด ุดุฑุท ูŠูƒูˆู† ู…ุฑุชุจูŠู† ูˆู…ูŠุฒุฉ ุงู„
3247
+
3248
+ 886
3249
+ 01:08:29,490 --> 01:08:33,020
3250
+ positional ุงู†ู‡ ุงุฎุชุตุงุฑ ุงูƒุชุฑ ูˆุงุณุฑุน ู…ุด ู‡ูŠูƒ ููŠ ุงู„ูƒุชุงุจ
3251
+
3252
+ 887
3253
+ 01:08:33,020 --> 01:08:40,420
3254
+ ู„ูƒู† ุงู„ู†ู‡ุงูŠุฉ ู…ุด ุดุฑุท ุงู„ุชุฒูŠู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ุชุฑุชูŠุจ ู…ุด ุดุฑุท
3255
+
3256
+ 888
3257
+ 01:08:40,420 --> 01:08:52,620
3258
+ ุงู„ุชุฒูŠู… ุงู„ู„ูŠ ู‡ูˆ ุจุงู„ุชุฑุชูŠุจ ุงุฐุง
3259
+
3260
+ 889
3261
+ 01:08:52,620 --> 01:08:54,900
3262
+ ู†ุงุญูŠุฉ ุงู„ุดู…ุงู„ ูƒุงู† ุนุจุงุฑุฉ ุนู† ุฑู‚ู… ุงู„ index of ุงู„ ุจุช
3263
+
3264
+ 890
3265
+ 01:08:54,900 --> 01:08:58,560
3266
+ ุงู„ู„ูŠ ุฃู†ุง ุจุฏูŠ ุงุฏูŠู„ู‡ value ูˆ ู†ุงุญูŠุฉ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ูŠ ู…ู†
3267
+
3268
+ 891
3269
+ 01:08:58,560 --> 01:09:00,920
3270
+ ุงู„ุณู‡ู… ุงู„ู„ูŠ ู‡ูˆ value to be assigned
3271
+
3272
+ 892
3273
+ 01:09:03,740 --> 01:09:07,900
3274
+ ู…ู…ูƒู† ุชุนู…ู„ mixing ู„ ุงู„ positional ู…ุน ุงู„ named ุฃุดูŠุงุด
3275
+
3276
+ 893
3277
+ 01:09:07,900 --> 01:09:13,260
3278
+ ู„ูˆ ุจุฏูƒ ููŠ ุงู„ aggregates ููŠ
3279
+
3280
+ 894
3281
+ 01:09:13,260 --> 01:09:16,520
3282
+ ู†ูุณ ุงู„ aggregate ู„ูƒู† ููŠ ุงู„ุญุงู„ุฉ ุฏูŠ ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„
3283
+
3284
+ 895
3285
+ 01:09:16,520 --> 01:09:25,260
3286
+ ุชุญุท ุงู„ positional ูˆ ุจุนุฏูŠู† ุงู„ named ูˆุงู†ุต
3287
+
3288
+ 896
3289
+ 01:09:25,260 --> 01:09:30,340
3290
+ ุจุฏุฃุช ุจุงู„ named ู„ุงุฒู… ุจุงุฌูŠ ูƒู„ ูƒู„ู‡ name ู…ู…ูƒู† ุชุฎู„ุท
3291
+
3292
+ 897
3293
+ 01:09:30,340 --> 01:09:32,440
3294
+ positional ุนู„ู‰ name
3295
+
3296
+ 898
3297
+ 01:09:44,590 --> 01:09:53,390
3298
+ ู…ู…ูƒู† ุชุณุชุฎุฏู… ูƒู„ู…ุฉ others ุจุงู„ aggregate ู„ูƒู† ุฅุฐุง
3299
+
3300
+ 899
3301
+ 01:09:53,390 --> 01:09:58,350
3302
+ ุงุณุชุฎุฏู…ุช others ุชู†ุญุท ููŠ ุขุฎุฑ ููŠ ุขุฎุฑ ุงู„ list all
3303
+
3304
+ 900
3305
+ 01:09:58,350 --> 01:10:01,070
3306
+ other elements ู‡ุชุงุฎุฏ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู…ุฏูŠู‡ุง ููŠ ุงู„
3307
+
3308
+ 901
3309
+ 01:10:01,070 --> 01:10:05,280
3310
+ others ูŠุนู†ูŠ ู…ุซู„ุงู„ูˆ ุชูู„ ุฅูƒุณ ู†ูŠู† ุฃุฎู‰ ุฒูŠุฑ ูˆ ู‡ุงุฏ ุงู„
3311
+
3312
+ 902
3313
+ 01:10:05,280 --> 01:10:11,400
3314
+ part ูŠุงุด name ูˆ ู‡ุงุฏ ุงุนุชุจุฑ ูƒุฃู†ู‡ ู…ู† ูƒุฃู†ู‡ named ุงู„
3315
+
3316
+ 903
3317
+ 01:10:11,400 --> 01:10:15,480
3318
+ others others just ูˆ ุจุฌูŠุณ ุงู„ bits ุฏูŠ ุงู„ู‚ูŠู…ุฉ ูƒุงู… ู…ุน
3319
+
3320
+ 904
3321
+ 01:10:15,480 --> 01:10:17,860
3322
+ ุฃู† ุงู„ bits ุงู„ู„ูŠ ู‡ูŠ zero ูˆ ูˆุงุญุฏุฉ ูˆ ุชู„ุงุชุฉ ู‡ูŠุงุฎุฏ
3323
+
3324
+ 905
3325
+ 01:10:17,860 --> 01:10:22,940
3326
+ ู‚ูŠู…ุชู‡ุง ูƒุงู… ูˆ bit ุงุชู†ูŠู† ูู‚ุท ู‡ูŠุงุฎุฏ ู‚ูŠู…ุชู‡ุง ูƒุงู… ุฒูŠุฑูˆ
3327
+
3328
+ 906
3329
+ 01:10:22,940 --> 01:10:26,020
3330
+ ุงูŠุด
3331
+
3332
+ 907
3333
+ 01:10:26,020 --> 01:10:26,760
3334
+ ู…ุฒุฏู‡ุง ุงู„ others
3335
+
3336
+ 908
3337
+ 01:10:30,560 --> 01:10:34,700
3338
+ ู‡ูˆ ุฏุงูŠู…ุง ูŠู„ุนุจ ุจุงุณู… ูƒุงู…ุฑ ุงู„ูˆุงุญุฏุฉ ุงู„ุฎุงุตุฉุŒ ู‡ูˆ ุนุงุฑูุด
3339
+
3340
+ 909
3341
+ 01:10:34,700 --> 01:10:37,980
3342
+ ุงู„ู…ุฎุชู„ูุฉ ุจูŠู† ุจุนุถู‡ู…ุŒ ุจุนุถู‡ู… ู…ุฎุชู„ูุฉ ูˆ ุจู‚ู‰ ุฏูŠ ..
3343
+
3344
+ 910
3345
+ 01:10:37,980 --> 01:10:45,340
3346
+ ู…ุธุจูˆุทุŒ ุจุณ ุจุฏู†ุง ุงู„ุฃูƒุจุฑ ุจุฑุถู‡ .. ุจู‚ู‰ ุฏุงูŠู…ุง ุชุฎุดูˆุง ุงู„
3347
+
3348
+ 911
3349
+ 01:10:45,340 --> 01:10:48,820
3350
+ .. ุงู„ ุงุณู… ุจุนู…ู‚ ุฒูŠ ู…ุง ู‚ู„ุช ู†ุฒู„ุŒ ุชุบูˆูŠู„ุŒ ุจู‚ู‰ ุงู„ุจู„ุฏ
3351
+
3352
+ 912
3353
+ 01:10:48,820 --> 01:10:53,940
3354
+ ุฃุนุธู… ุฐุชู‡ุง ู…ุฑุงุช ุงู„ุฃูƒุณ ุดุจุงุจ ูŠูƒูˆู† ู…ุงุดูŠุฉ ู„ู‡ุง 32 ุจุช ูˆ
3355
+
3356
+ 913
3357
+ 01:10:53,940 --> 01:10:57,010
3358
+ ูŠุฏูŠู‡ุง some value ู…ู† ุบูŠุฑ ุงู„ others ูŠุนู†ูŠ ุฃู†ุง ุจุฏูŠ ุงุฏูŠ
3359
+
3360
+ 914
3361
+ 01:10:57,010 --> 01:11:00,450
3362
+ ู…ุซู„ุง two bits ู…ุนูŠู†ูŠู† ูƒูˆูŠุณ ูˆุงู„ุจุงู‚ูŠู† ุจุฏูŠ ุงุฏูŠู‡ู… some
3363
+
3364
+ 915
3365
+ 01:11:00,450 --> 01:11:02,390
3366
+ default value ูƒู„ู‡ู… ูˆุงุญุฏ ุงูˆ ุฒูŠุฑูˆ ู„ูˆ ุจุฏูŠ ุงุชู…ู„ู‡ุง
3367
+
3368
+ 916
3369
+ 01:11:02,390 --> 01:11:05,610
3370
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุนุงุฏูŠุฉ aggregate ูู…ู…ูƒู† ุชุธุจุท 32 ู„ูˆ ู†ุณูŠุช
3371
+
3372
+ 917
3373
+ 01:11:05,610 --> 01:11:10,010
3374
+ bit ูˆุงุญุฏ ุตุงุฑ ุงู„ assignment ุบู„ุท ุตุญ ูˆู„ุง ุฃูˆ ู„ูˆ ูˆุถุนุช
3375
+
3376
+ 918
3377
+ 01:11:10,010 --> 01:11:12,930
3378
+ ููŠ bit ุบูŠุฑ ุจุงู„ุงุดูŠ ูƒู„ู‡ ู…ุด ู‡ูŠูƒ ุฃูˆ ู„ูˆ ุจุฏุช 32 ุงู„ six
3379
+
3380
+ 919
3381
+ 01:11:12,930 --> 01:11:17,370
3382
+ ุจุชุฎู„ูŠู‡ 64 ุทุจุนุง ูˆู„ุง ูˆ ู„ุงุฒุงู„ ุงู„ two bits ู‡ุฏูˆู„
3383
+
3384
+ 920
3385
+ 01:11:17,370 --> 01:11:19,930
3386
+ ู…ุงุงุฎุชู„ููˆุด ู‡ุฏูŠู‡ู… ูˆุงุญุฏ ูˆุฒูŠุฑูˆ ูˆุงู„ุจุงู‚ูŠู† ู‡ุฏูŠู‡ู… ู‚ูŠู…ุฉ
3387
+
3388
+ 921
3389
+ 01:11:19,930 --> 01:11:24,270
3390
+ ู…ุนูŠู†ุฉ ู…ู† ุบูŠุฑ ุงู„ others ุฃูˆูŠุด ู‡ุชุนู…ู„ ุฃุฑุจุนุฉ ูˆ ุดุชูŠู† ู„ูˆ
3391
+
3392
+ 922
3393
+ 01:11:24,270 --> 01:11:26,510
3394
+ ุจุฏู†ุง ู†ูˆุตู„ ู„ุนู…ุงู„ ุฎู…ุณ ูˆ ุณุชูŠู† ุฃูˆ ุชู„ุช ูˆ ุณุชูŠู† ุฎูŠุฑ
3395
+
3396
+ 923
3397
+ 01:11:26,510 --> 01:11:30,830
3398
+ ุจุงู„ุงุดูŠ ู…ุด ู‡ูŠูƒ ูˆ ู„ุง ุฃูˆ ู„ูˆ ุงู„ two bits ุจูŠุจู‚ูˆุง ุฌุงู†ุจ
3399
+
3400
+ 924
3401
+ 01:11:30,830 --> 01:11:32,890
3402
+ ุจุนุถ ู‡ุฐุง zero ูˆ ูˆุงุญุฏ ุฌุงู„ุจ ุชุจู‚ู‰ ุฎูŠุฑ ุจุงู„ุงุดูŠ ู„ูƒู† ู…ู† ุงู„
3403
+
3404
+ 925
3405
+ 01:11:32,890 --> 01:11:35,390
3406
+ others ุฎู„ุงุต ุงุชู†ูŠู† ุชู„ุช ุงู„ bits ุงู„ู„ูŠ ุจุฏู‡ู… ู‚ูŠู‡ู… ูˆุงุญุฏ
3407
+
3408
+ 926
3409
+ 01:11:35,390 --> 01:11:38,590
3410
+ ุจุฏูŠู‡ู… ุนุงุฏูŠ name and association ุชู…ุงู…ุŸ ูˆ ุงู„ุจุงู‚ูŠ ุงู„
3411
+
3412
+ 927
3413
+ 01:11:38,590 --> 01:11:45,830
3414
+ others ุจูŠุณุงูˆูŠ ูƒุฐุง ุฃูˆ ุชู„ุช ุฃู‚ุงู„ ุนูˆุถ ู„ู…ู†ุŸ ู„ู„ุฎุทุฃ ุชู…ุงู…ุŸ
3415
+
3416
+ 928
3417
+ 01:11:45,830 --> 01:11:50,330
3418
+ ุฃู‚ุงู„ ุนูˆุถ ู„ู„ุฎุทุฃ ูˆูƒู…ุงู† ู…ูุฑุฏ ู…ุฌู‡ูˆุฏ ู…ุฌู‡ูˆุฏ ู…ุฑุงุช ุงู„ู…ุฌู‡ูˆุฏ
3419
+
3420
+ 929
3421
+ 01:11:50,330 --> 01:11:53,910
3422
+ ู…ุฑุงุช ูŠุนู†ูŠ ุจูŠูƒูˆู† ู‡ู†ุง ุณุนุฏุงุฏ ูŠู†ุจุฐู„ู‡ ู„ูƒู† ุงู„ุฃู‡ู… ุงู†ู‡
3423
+
3424
+ 930
3425
+ 01:11:53,910 --> 01:12:05,650
3426
+ ุจูŠุฌ๏ฟฝ๏ฟฝูŠู„ูƒ ุงู„ุฎุทุฃ ุจูŠุตูŠุฑ ุงู†ู‡ ู„ุณู‡ prone to errors ู…ู…ูƒู†
3427
+
3428
+ 931
3429
+ 01:12:05,650 --> 01:12:12,090
3430
+ ุชุณุชุฎุฏู… symbol ูƒู…ุงู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ R ู‡ุงุฏ ุนุดุงู† ุชูุตู„ ุงู„ู„ูŠ
3431
+
3432
+ 932
3433
+ 01:12:12,090 --> 01:12:16,910
3434
+ ู‡ูŠ ูƒุฐุง index values ุนู† ุจุนุถ ุดูˆู ู…ุซู„ุง ู…ู…ูƒู† ุชู‚ูˆู„ู‡ ุงู„
3435
+
3436
+ 933
3437
+ 01:12:16,910 --> 01:12:22,140
3438
+ X ุจุงู„ุณุงูˆูŠู…ุซู„ุง ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุฃูˆ ุฒูŠุฑูˆ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ
3439
+
3440
+ 934
3441
+ 01:12:22,140 --> 01:12:26,020
3442
+ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ
3443
+
3444
+ 935
3445
+ 01:12:26,020 --> 01:12:26,780
3446
+ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ
3447
+
3448
+ 936
3449
+ 01:12:26,780 --> 01:12:26,820
3450
+ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ
3451
+
3452
+ 937
3453
+ 01:12:26,820 --> 01:12:29,720
3454
+ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ
3455
+
3456
+ 938
3457
+ 01:12:29,720 --> 01:12:30,060
3458
+ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ
3459
+
3460
+ 939
3461
+ 01:12:30,060 --> 01:12:34,080
3462
+ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ
3463
+
3464
+ 940
3465
+ 01:12:34,080 --> 01:12:40,960
3466
+ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ ุฃูˆ ูˆุงุญุฏ ุชู„ุงุชุฉ
3467
+
3468
+ 941
3469
+ 01:12:40,960 --> 01:12:44,840
3470
+ ุฃูˆ
3471
+
3472
+ 942
3473
+ 01:12:44,840 --> 01:12:51,270
3474
+ ูˆุงุญุฏ ุชู„ุงุชุฉ ุงู‡ ุทุจุนุง ุงู‡ ุงู‡ ุจุชุญุท ูุงุตู„ุงุช ูˆ ุฎุทูˆุงุช ุงู„ู„ูŠ
3475
+
3476
+ 943
3477
+ 01:12:51,270 --> 01:12:54,570
3478
+ ู‚ุงู„ู‡ุง somehow ุจูŠุทู„ุน ุนู„ู‰ ุงู„ help ูˆ ุนู„ู‰ ุงู„ู‡ุฏุฃ ุชู…ุงู…ุŸ
3479
+
3480
+ 944
3481
+ 01:12:54,570 --> 01:12:58,930
3482
+ ุจุชุญุท ุงู„ู„ูŠ ู‡ูˆ ูุงุตู„ุงุชู‡ ูˆ ุชุญุฏุฏ ุชู…ุงู…ุŸ ุฃูˆ ุงู„ู„ูŠ ุจูŠุตูŠุฑ
3483
+
3484
+ 945
3485
+ 01:12:58,930 --> 01:13:02,810
3486
+ ู„ูˆ ู‡ูˆ .. ู„ูˆ ู‡ูˆ ูƒุฐุง dimension ู„ูˆ array of .. ู„ูˆ one
3487
+
3488
+ 946
3489
+ 01:13:02,810 --> 01:13:06,510
3490
+ dimension of one dimension ุชู…ุงู…ุŸ ุจุชุฏูŠ ุงู„ .. ุงู„ ..
3491
+
3492
+ 947
3493
+ 01:13:06,510 --> 01:13:09,130
3494
+ ู‡ู†ุดูˆู ุฃู†ุซู‰ ุจุนุฏ ูƒุฏู‡ ุนู„ูŠุง ุฅู† ุดุงุก ุงู„ู„ู‡ ุชู…ุงู…ุŸ ุจุชู†ุนู…ู„
3495
+
3496
+ 948
3497
+ 01:13:09,130 --> 01:13:10,710
3498
+ somehow ูˆ ู„ูˆ ู‡ูˆ model dimension ุงู„ุนุงุฏู‰ ุงู„ู„ูŠ ู‡ูˆ
3499
+
3500
+ 949
3501
+ 01:13:10,710 --> 01:13:14,370
3502
+ ุงู„ู†ุงุณ supported ุจุชูˆูŠู† ููˆุงุตู„ ุจุชุฏูŠ ุงู„ู‚ูŠุงู… ุงู„ู„ูŠ ุจุฏูƒูŠ
3503
+
3504
+ 950
3505
+ 01:13:14,370 --> 01:13:17,010
3506
+ ูŠุนู†ูŠ ุชู…ุงู…ุŸ okay ุฃูŠู‘ุด ู‡ุงู„ุทุฑูŠู‚ุฉุŸ
3507
+
3508
+ 951
3509
+ 01:13:19,830 --> 01:13:21,950
3510
+ ูู‡ู†ุง ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3511
+
3512
+ 952
3513
+ 01:13:21,950 --> 01:13:22,390
3514
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3515
+
3516
+ 953
3517
+ 01:13:22,390 --> 01:13:23,290
3518
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3519
+
3520
+ 954
3521
+ 01:13:23,290 --> 01:13:28,430
3522
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3523
+
3524
+ 955
3525
+ 01:13:28,430 --> 01:13:29,010
3526
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3527
+
3528
+ 956
3529
+ 01:13:29,010 --> 01:13:36,050
3530
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3531
+
3532
+ 957
3533
+ 01:13:36,050 --> 01:13:36,750
3534
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3535
+
3536
+ 958
3537
+ 01:13:36,750 --> 01:13:38,730
3538
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
3539
+
3540
+ 959
3541
+ 01:13:46,460 --> 01:13:50,880
3542
+ ุงู„ู€ X ูƒุงู†ุช ุชู…ุงู†ูŠุฉ ุจุชุบูŠุฑุชู‡ุง ูˆ ุฎู„ุชู‡ุง 16 ุฎู„ุชู‡ุง 24
3543
+
3544
+ 960
3545
+ 01:13:50,880 --> 01:13:54,460
3546
+ ุฎู„ุชู‡ุง ูƒุฏู‡ ุงู„ู€ SIM code works you don't need to
3547
+
3548
+ 961
3549
+ 01:13:54,460 --> 01:14:08,880
3550
+ change to make any change ุทุจ
3551
+
3552
+ 962
3553
+ 01:14:08,880 --> 01:14:09,700
3554
+ ู†ุนู…ู„ ุนุฏู‡ ุจุงู„ู…ุฑุฉ
3555
+
3556
+ 963
3557
+ 01:14:12,570 --> 01:14:15,710
3558
+ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ู€ discrete range ุนุดุงู† ุชุนู…ู„
3559
+
3560
+ 964
3561
+ 01:14:15,710 --> 01:14:18,510
3562
+ assignment ู„ sequence of elements of the same
3563
+
3564
+ 965
3565
+ 01:14:18,510 --> 01:14:24,830
3566
+ value ุทู„ุน ู‡ู†ุง ู…ุซู„ุง ู„ูˆ ู‚ู„ู†ุง ุงู„ D ุงุณุชุฎุฏู… ุงู„ vector 7
3567
+
3568
+ 966
3569
+ 01:14:24,830 --> 01:14:30,630
3570
+ down to 0 ุชู…ุงู…ุŸ ุดูˆู ู‡ู†ุง ู…ู…ูƒู† ุงู‚ูˆู„ู‡ D ุฃูŠู‘ุด ุจูŠุณุงูˆูŠ 7
3571
+
3572
+ 967
3573
+ 01:14:30,630 --> 01:14:37,290
3574
+ down to 4 ุจูŠุณุงูˆูŠ 1 ูˆ 3 down to 0 ุจูŠุณุงูˆูŠ ุฃูŠู‘ุดุŸ Zero
3575
+
3576
+ 968
3577
+ 01:14:37,290 --> 01:14:42,650
3578
+ it works ุฃู†ุง ุทู„ุนุช ุงู„ู€ gate ู‡ุงู„ู†ู‡ุงูŠุฉ ุงู„ู‡ุง ุฏูŠ ูู†ุนู…ู„
3579
+
3580
+ 969
3581
+ 01:14:42,650 --> 01:14:48,590
3582
+ ู‡ุฐุง ู…ู…ูƒู†
3583
+
3584
+ 970
3585
+ 01:14:48,590 --> 01:14:56,650
3586
+ ูƒู…ุงู† ุชุนู…ู„ ุงู„ aggregate ุชุนู…ู„
3587
+
3588
+ 971
3589
+ 01:14:56,650 --> 01:15:00,010
3590
+ combining ู„ูƒุฐุง scalar into vector ุจุงุณุชุฎุฏุงู… ุงู„
3591
+
3592
+ 972
3593
+ 01:15:00,010 --> 01:15:05,660
3594
+ aggregate ุฒูŠ ู…ุง ู‡ู†ุดูˆู ุดูˆู ู…ุซู„ุง ู„ูˆ ู‚ู„ู†ุง signal ุงู„ R
3595
+
3596
+ 973
3597
+ 01:15:05,660 --> 01:15:09,140
3598
+ D ุจุงุฑ ุงู„ read ูˆ ุงู„ write ูˆ ุงู„ S2 ุจุงุฑ ูƒู„ู‡ู… single
3599
+
3600
+ 974
3601
+ 01:15:09,140 --> 01:15:14,340
3602
+ bit standard logical ุจุนุฏ ุงู„ control ูƒุงู… bit ุชู„ุงุชุฉ
3603
+
3604
+ 975
3605
+ 01:15:14,340 --> 01:15:18,340
3606
+ bit ูˆ ุงุฌูŠ ุงุฌูŠ ุจุดูƒู„ ู‡ุงุฏุฆูŠ ุงุนู…ู„ ุงู„ .. ุงู‚ูˆู„ู‡ ุงู„ quota
3607
+
3608
+ 976
3609
+ 01:15:18,340 --> 01:15:24,600
3610
+ ุฃูŠู‘ุด ุจูŠุณุงูˆูŠ ุงู„ R D ุจุงุฑ ูˆ ุงู„ W ุจุงุฑ ูˆ ุงู„ S2 ุจุงุฑ ุชู…ุงู…
3611
+
3612
+ 977
3613
+ 01:15:24,600 --> 01:15:28,840
3614
+ ูˆ ุงุฏูŠู‡ู… ุงุณู… ุงู„ control ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุชู…ุงู… it works
3615
+
3616
+ 978
3617
+ 01:15:29,380 --> 01:15:32,920
3618
+ ุตุงุฑ ู…ุนู†ุงุชู‡ ุงู„ู€ control ู…ูƒูˆู† ุนู…ู„ูŠุฉ ู…ู† ู…ุด signals ู…ู†
3619
+
3620
+ 979
3621
+ 01:15:32,920 --> 01:15:42,820
3622
+ ู‡ุฏูˆู„ ู…ู† ุชู„ุงุชู‡ุง ู‡ุฏูˆู„ ุชู…ุงู…ุŸ
3623
+
3624
+ 980
3625
+ 0
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PL9fwy3NUQKwZxV6lHjK-ShPlZD0H8baax/ztkY9VoE4xA.srt ADDED
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PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/Bx_N_tiknzs_postprocess.srt ADDED
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@@ -0,0 +1,3004 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:10,000 --> 00:00:12,200
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…
4
+
5
+ 2
6
+ 00:00:14,730 --> 00:00:20,350
7
+ ู„ุงุฒู„ู†ุง ููŠ ู†ูุณ ุดูุฑ ุชู„ุงุชุฉ ุงุจุชุฏุฃู†ุง ู…ู† section ุชู„ุงุชุฉ
8
+
9
+ 3
10
+ 00:00:20,350 --> 00:00:25,730
11
+ ูˆุงุญุฏ ุจุงู„ู…ุนุงุฏู„ุฉ a y w prime ุฒุงุฆุฏ b y prime ุฒุงุฆุฏ c y
12
+
13
+ 4
14
+ 00:00:25,730 --> 00:00:30,390
15
+ ุจุฏู‡ ูŠุณุงูˆูŠ zero ูุฑุถู†ุง ุงู†ู‡ ุนู†ุฏูŠ ุญู„ ุนู„ู‰ ุงู„ุตูŠุบุฉ y
16
+
17
+ 5
18
+ 00:00:30,390 --> 00:00:35,710
19
+ ุชุณุงูˆูŠ E ุงุต RT ูˆุตู„ู†ุง ู„ู„ characteristic equation ุนู„ู‰
20
+
21
+ 6
22
+ 00:00:35,710 --> 00:00:40,640
23
+ ุดูƒู„ AR ุชุฑุจูŠู‡ ุฒุงุฆุฏุจุงุฑ ุฒุงุฏ ุณูŠ ูŠุณุงูˆูŠ ุฒูŠุฑูˆ ูˆ ุฑูˆุญู†ุง
24
+
25
+ 7
26
+ 00:00:40,640 --> 00:00:45,720
27
+ ุฌูŠุจู†ุง ุฌุฐูˆุฑ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ููƒุงู†ุช ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ
28
+
29
+ 8
30
+ 00:00:45,720 --> 00:00:49,820
31
+ ู†ุงู‚ุต ุจุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู„ุฌุฏุฑ ุงู„ุชุฑุจูŠุฉ ุนู„ู‰ ุจูŠู‡ ุชุฑุจูŠุฉ ู†ุงู‚ุต
32
+
33
+ 9
34
+ 00:00:49,820 --> 00:00:55,400
35
+ ุงุฑุจุน ุง ุณูŠ ุนู„ู‰ ุงุชู†ูŠู† ุงูŠู‡ ูˆุงุฎุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุญุงู„ุชูŠู†
36
+
37
+ 10
38
+ 00:00:55,400 --> 00:01:00,400
39
+ ุงู„ุญุงู„ุฉ ุงู„ุงูˆู„ู‰ู„ูˆ ูƒุงู† ุงู„ู…ู…ูŠุฒ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ b ุชุฑุจูŠุน
40
+
41
+ 11
42
+ 00:01:00,400 --> 00:01:05,840
43
+ ู†ุงู‚ุต ุงุฑุจุนุฉ a c greater than zero ูˆุนุฑูู†ุง ุงู†ู‡ ุจุทู„ุน
44
+
45
+ 12
46
+ 00:01:05,840 --> 00:01:12,100
47
+ ุนู†ุฏูŠ ู‚ูŠู…ุชูŠู† ู„ุงุฑ ูˆ ุงุชู†ุชูŠู† are real ูˆุตุงุฑ ุงู„ุญู„ in
48
+
49
+ 13
50
+ 00:01:12,100 --> 00:01:16,820
51
+ general c ูˆุงุญุฏ e ูˆุตุงุฑ ูˆุงุญุฏ t ุฒุงุฏ c ุงุชู†ูŠู† e ุงุชู†ูŠู† r
52
+
53
+ 14
54
+ 00:01:16,820 --> 00:01:21,840
55
+ ุงุชู†ูŠู† t ูˆุงู„ู…ุญุงุถุฑุฉ ุงู„ู…ุงุถูŠุฉุงู„ู„ูŠ ูƒุงู† section ุชู„ุงุชุฉ
56
+
57
+ 15
58
+ 00:01:21,840 --> 00:01:26,240
59
+ ุฃุฑุจุนุฉ ู‚ูˆู„ู†ุง ู„ูˆ ุทู„ุนุช ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุชุญุช ุงู„ุฌุฏุฑ ุงู„ู„ูŠ ู‡ูˆ
60
+
61
+ 16
62
+ 00:01:26,240 --> 00:01:31,480
63
+ ุงู„ู…ู…ูŠุฒ ุจูŠุชุฑ ุจูŠู‡ุง ู†ู‚ุต ุฃุฑุจุนุฉ ASC ุฃู‚ู„ ู…ู† ุงู„ zero
64
+
65
+ 17
66
+ 00:01:31,480 --> 00:01:37,410
67
+ ูˆู‚ูˆู„ู†ุง ู‡ุฐุง ุจูŠุตูŠุฑ ูƒู…ูŠุฉ ุชุฎูŠู„ูŠุฉุฃูˆ ุงู„ุญู„ ุจูŠูƒูˆู† ุนุฏุฏ
68
+
69
+ 18
70
+ 00:01:37,410 --> 00:01:43,010
71
+ ุชุฎูŠู„ูŠ ูˆุจุงู„ุชุงู„ูŠ ุนู…ู„ู†ุง ุดูˆูŠุฉ ุงุฎุชุตุงุฑุงุช ูˆุญุทูŠู†ุง ุงู„ุญู„ ุนู„ู‰
72
+
73
+ 19
74
+ 00:01:43,010 --> 00:01:50,650
75
+ ุตูŠุบุฉ E ุฃุณู„ู† ุฏู‡ T ุงูุชุญู‡ C1 Cos U T ุฒูŠ C2 Sin U T
76
+
77
+ 20
78
+ 00:01:50,650 --> 00:01:56,710
79
+ ูŠุจู‚ู‰ ุฃุฎุฏู†ุง ุญุงู„ุชูŠู† ุงู† ุงู„ุฌุฐูˆุฑ ุญู‚ูŠู‚ูŠุฉ ูˆู…ุฎุชู„ูุฉ ุงู„ุฌุฐูˆุฑ
80
+
81
+ 21
82
+ 00:01:56,710 --> 00:02:02,560
83
+ ุงุชู†ูŠู† ุชุฎูŠู„ูŠูŠู† ูˆู…ุชุฑุงูู‚ูŠู†ุงู„ุงู† ุจู†ุฌูŠ ู„ู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ
84
+
85
+ 22
86
+ 00:02:02,560 --> 00:02:08,360
87
+ ูˆุงู„ุงุฎูŠุฑุฉ ู„ูˆ ูƒุงู† ุงู„ู…ู…ูŠุฒ ุงู„ู„ูŠ ู‡ูˆ b ุชุฑุจูŠุฉ ู†ู‚ุต 4ac ุจุฏู‡
88
+
89
+ 23
90
+ 00:02:08,360 --> 00:02:13,360
91
+ ูŠุณุงูˆูŠ zero ุฅุฐุง ุงู„ุฌุฐุฑ ู‡ุฐุง ูƒู„ู‡ ุจุทูŠุฑ ุจุงู„ุฒูŠุฏ ูˆุงู„ู†ู‚ุต
92
+
93
+ 24
94
+ 00:02:13,360 --> 00:02:19,100
95
+ ูˆู„ุง ูŠุจู‚ู‰ ุนู†ุฏูŠ ุฅู„ุง ู…ู† ุณุงู„ุจ b ุนู„ู‰ 2a ูŠุจู‚ู‰ ุจุตูŠุฑ
96
+
97
+ 25
98
+ 00:02:19,100 --> 00:02:24,920
99
+ ุงู„ุฌุฐูˆุฑ ุญู‚ูŠู‚ูŠุฉ ูˆู…ูƒุฑุฑุฉ ู…ู† ู‡ู†ุง ูƒุงู† ุนู†ูˆุงู† ุงู„ section
100
+
101
+ 26
102
+ 00:02:24,920 --> 00:02:32,110
103
+ ุจูŠู† ุฃุฏูŠู†ุงrepeated roots ุงู„ุฌุฐูˆุฑ ุงู„ู…ูƒุฑุฑุฉ ูŠุนู†ูŠ ู„ูˆ ุญุตู„
104
+
105
+ 27
106
+ 00:02:32,110 --> 00:02:38,530
107
+ ุงู† ุงู„ุฌุฐูˆุฑ ุชุจุน ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู…ู…ูŠุฒุฉ ู‡ุฐู‡ ุงุชู†ูŠู† ุฌุฐุฑุงู†
108
+
109
+ 28
110
+ 00:02:38,530 --> 00:02:45,270
111
+ ุญู‚ูŠู‚ูŠุงู† ูˆ ู…ูƒุฑุฑุงู† ุจุฏู†ุง ู†ุนุฑู ุดูˆ ุดูƒู„ ุงู„ุญู„ ู„ู„ู…ุนุงุฏู„ุฉ
112
+
113
+ 29
114
+ 00:02:45,270 --> 00:02:49,830
115
+ ุงู„ุชูุงุถู„ูŠุฉ ุงุฐุง ุงุชู†ูŠู† ุจูŠุชุณุงูˆู‰ ู…ุนู†ุงุชู‡ ู…ุงุนู†ุฏูŠุด ุงู„ุง ู…ูŠู†
116
+
117
+ 30
118
+ 00:02:49,830 --> 00:02:56,200
119
+ ุญู„ุง ูˆุงุญุฏุงูŠุจู‚ู‰ ู…ุงุฏุงู… R ูˆุงุญุฏ ูŠุณุงูˆูŠ R ุงุชู†ูŠู† ู‡ู…ุง
120
+
121
+ 31
122
+ 00:02:56,200 --> 00:03:04,560
123
+ ุงู„ุฌุฐุฑูŠู† ูŠุณุงูˆูŠ E ุงุต ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† ุง ุณุงูˆูŠ have
124
+
125
+ 32
126
+ 00:03:04,560 --> 00:03:15,160
127
+ one solution ุญู„ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูˆ Y ูˆุงุญุฏ ูŠุณุงูˆูŠ E ุงุต
128
+
129
+ 33
130
+ 00:03:15,160 --> 00:03:23,900
131
+ ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† ุง ูƒู„ู‡ ู…ุถุฑูˆุจ ููŠ ู…ู†ุŸ ููŠ Tุทุจ ูƒูˆูŠุณ
132
+
133
+ 34
134
+ 00:03:23,900 --> 00:03:27,940
135
+ ู‡ุฐู‡ ู…ุนุงุฏู„ุฉ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉ ุฅุฐุง ู„ู‡ุง ุญู„ุงู† ูˆู„ูŠุณ
136
+
137
+ 35
138
+ 00:03:27,940 --> 00:03:33,600
139
+ ุญู„ุงู† ูˆุงุญุฏุฉ ุฅุฐุง ุจู†ุงุฑูˆุญ ู†ุจุญุซ ุนู† ุญู„ ุชุงู†ูŠ ุงู„ุญู„ ุงู„ุซุงู†ูŠ
140
+
141
+ 36
142
+ 00:03:33,600 --> 00:03:39,940
143
+ ุจู†ุญุงูˆู„ ู†ุญุตู„ ุนู„ูŠู‡ ุจุฏู„ุงู„ุฉ ู…ู†ุŸ ุจุฏู„ุงู„ุฉ ุงู„ุญู„ ุงู„ุฃูˆู„ ูŠุจู‚ู‰
144
+
145
+ 37
146
+ 00:03:39,940 --> 00:03:46,480
147
+ ุจุฏุงุฌูŠ ุฃู‚ูˆู„ suppose that ุงูุชุฑุถูˆุง ุฃู†ู‡ we have
148
+
149
+ 38
150
+ 00:03:46,480 --> 00:03:49,460
151
+ another
152
+
153
+ 39
154
+ 00:04:06,910 --> 00:04:17,410
155
+ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ู‡ุณู…ูŠ y ูŠุณุงูˆูŠ v of t ููŠ y1 of t ู…ู†
156
+
157
+ 40
158
+ 00:04:17,410 --> 00:04:24,820
159
+ ุงู„ y1 ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุจุฏู‡ ูŠุณุงูˆูŠ V of T ููŠ
160
+
161
+ 41
162
+ 00:04:24,820 --> 00:04:36,080
163
+ ู…ู† ููŠ ุงู„ E ุฃุณ ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† A ูƒู„ู‡ ููŠ ู…ู† ููŠ T
164
+
165
+ 42
166
+ 00:04:36,080 --> 00:04:41,700
167
+ ูŠุจู‚ู‰ ู‡ุฐุง ุดูƒู„ ุงู„ุญู„ ุงู„ุซุงู†ูŠ ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ู‚ุฏุงู…ู†ุง ู‡ุฐุง
168
+
169
+ 43
170
+ 00:04:41,700 --> 00:04:47,960
171
+ ุทูŠุจ ู…ูŠู† ู‡ูŠ V of T ู‡ุฐู‡ function of T ุจุฏู†ุง ู†ุญุงูˆู„ ู†ุฌุฏ
172
+
173
+ 44
174
+ 00:04:47,960 --> 00:04:56,700
175
+ ุดูˆ ุดูƒู„ู‡ุงุงู„ุงู† ู†ุญู† ุณู†ุฌุฏ
176
+
177
+ 45
178
+ 00:04:56,700 --> 00:05:00,200
179
+ ุทุฑูŠู‚ุฉ
180
+
181
+ 46
182
+ 00:05:00,200 --> 00:05:04,080
183
+ ู†ุญูˆ
184
+
185
+ 47
186
+ 00:05:04,080 --> 00:05:14,420
187
+ V of T ูƒุงู„ุชุงู„ูŠ
188
+
189
+ 48
190
+ 00:05:19,830 --> 00:05:28,510
191
+ Y ุชุณุงูˆูŠ V of T ููŠ E ุงุต ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† A ูƒู„ู‡ ููŠ
192
+
193
+ 49
194
+ 00:05:28,510 --> 00:05:28,750
195
+ T
196
+
197
+ 50
198
+ 00:05:34,330 --> 00:05:39,810
199
+ ู‡ุฐุง ุงู„ุญู„ ู…ุฑุชูŠู† ูˆ ุฃุนูˆุถู‡ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุตู„ูŠุฉ
200
+
201
+ 51
202
+ 00:05:39,810 --> 00:05:45,490
203
+ ูˆุจุงู„ุชุงู„ูŠ ุณู†ุตู„ ุฅู„ู‰ ุดูƒู„ V of T ุฅูŠุด ุจุฏูŠ ูŠูƒูˆู† ุฅุฐุง ุจุฑูˆุญ
204
+
205
+ 52
206
+ 00:05:45,490 --> 00:05:49,930
207
+ ุฃุดุชู‚ ู‡ุฐุง ู…ุฑุชูŠู† ุงู„ู…ุฑุฉ ุงู„ุฃูˆู„ู‰ ุจุฏุงุฌุฉ ุฃู‚ูˆู„ Y prime
208
+
209
+ 53
210
+ 00:05:49,930 --> 00:05:58,550
211
+ ูŠุณุงูˆูŠ ุงู„ู…ุดุชู‚ุฉ ุชู‡ุงุฏู V prime of T ููŠ E ุฃุณ ู†ุงู‚ุต ุจูŠ
212
+
213
+ 54
214
+ 00:05:58,550 --> 00:06:04,910
215
+ ุนู„ู‰ ุงุชู†ูŠู† A ููŠ Tู‡ุฐุง ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ
216
+
217
+ 55
218
+ 00:06:04,910 --> 00:06:10,870
219
+ ุงู„ุฒุงุฆุฏ ุงู„ุฃูˆู„ู‰ ู„ูŠู‡ V of T ู…ุดุชู‚ุฉ ุงู„ุชุงู†ูŠุฉ ุจุงู„ู†ู‚ุต
220
+
221
+ 56
222
+ 00:06:10,870 --> 00:06:19,810
223
+ ูุจุชูŠุฌูŠ ุงู„ู†ู‚ุต V of T ููŠ ู…ูŠู†ุŸ ููŠ ุงู„ B ุนู„ู‰ 2A ููŠ ุงู„ E
224
+
225
+ 57
226
+ 00:06:19,810 --> 00:06:28,760
227
+ ุฃุณ ู†ุงู‚ุต B ุนู„ู‰ 2A ูƒู„ู‡ ููŠ Tุฃูˆ ู„ูˆ ุฃุฎุฏู†ุง ุงู„
228
+
229
+ 58
230
+ 00:06:28,760 --> 00:06:34,820
231
+ exponential ู‡ุฐูŠ ุนุงู…ู„ ู…ุดุชุฑูƒ ุจุตูŠุฑ ุงู„ู…ุซู„ ูƒุงู„ุชุงู„ูŠ ุงู„ู„ูŠ
232
+
233
+ 59
234
+ 00:06:34,820 --> 00:06:38,940
235
+ ู‡ูˆ ุจุงุฎุชุตุงุฑู‡ ู…ุงุจุฏูŠุด ุงูƒุชุจ V of T ุจุฏูŠ ุงูƒุชุจ V prime
236
+
237
+ 60
238
+ 00:06:38,940 --> 00:06:45,420
239
+ ุฏูˆุฑูŠ ูŠุจู‚ู‰ ุจุฏูŠ ุงูƒุชุจ ู‡ุฐุง ุงู„ V prime ูˆู‡ู†ุง ุจุถู„ ุนู†ุฏู‰
240
+
241
+ 61
242
+ 00:06:45,420 --> 00:06:55,200
243
+ ู†ุงู‚ุต B ุนู„ู‰ 2A ูƒู„ู‡ ููŠ V ููŠ ุงู„ E ุฃุณ ู†ุงู‚ุต B ุนู„ู‰ 2A ููŠ
244
+
245
+ 62
246
+ 00:06:55,200 --> 00:07:00,820
247
+ TูŠุจู‚ู‰ ุงุฎุฏุช ุงู„ exponential ูƒุนุงู…ู„ ู…ุดุชุฑูƒ ุฃูˆ common
248
+
249
+ 63
250
+ 00:07:00,820 --> 00:07:04,820
251
+ factor ู…ู† ุงู„ุดุฌุชูŠู† ูˆ ุฎู„ุชู‡ ุจุฑุง ูˆ ุจุธู„ ุนู†ุฏู‰ ู‡ู†ุง v
252
+
253
+ 64
254
+ 00:07:04,820 --> 00:07:10,940
255
+ prime ูˆ ุจุธู„ ู‡ู†ุง v ุจุณ ููŠ ุงู„ b ุนู„ู‰ 2aุงู„ุงู† ุจุฏู†ุง ู†ุฑูˆุญ
256
+
257
+ 65
258
+ 00:07:10,940 --> 00:07:17,340
259
+ ู†ุฌูŠุจ ุงู„ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ YW' ุฅุฐุง ู…ุดุชู‚ุฉ ุญุงุตู„ ุถุฑุจ
260
+
261
+ 66
262
+ 00:07:17,340 --> 00:07:22,620
263
+ ุฏู„ุชูŠู† ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ VW'
264
+
265
+ 67
266
+ 00:07:23,520 --> 00:07:30,640
267
+ ููŠ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ููŠ E ุฃุตู†ุงู‚ ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† A ููŠ T
268
+
269
+ 68
270
+ 00:07:31,520 --> 00:07:38,620
271
+ ุจู†ุดุชู‚ ูƒู…ุงู† ู…ุฑุฉ ูŠุจู‚ู‰ ู†ุงู‚ุต ู‡ูŠ ุงู„ V prime ุฒูŠ ู…ู‡ูŠู† ูˆุงู„
272
+
273
+ 69
274
+ 00:07:38,620 --> 00:07:46,260
275
+ ุฃุณ ุงู„ู„ูŠ ู‡ูˆ P ุนู„ู‰ 2A ููŠ ุงู„ exponential E ุฃุณ ู†ุงู‚ุต P
276
+
277
+ 70
278
+ 00:07:46,260 --> 00:07:54,340
279
+ ุนู„ู‰ 2A ููŠ T ู‡ูŠุดุชู‚ุช ุงู„ุฃูˆู„ู‰ ูˆู…ุดุชู‚ุช ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู†
280
+
281
+ 71
282
+ 00:07:55,050 --> 00:08:00,650
283
+ ู†ุงู‚ุต ุจุฅู† ู†ุดุชู‚ ุซุงู†ูŠุฉ ูƒู…ุงู† ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูŠุจู‚ู‰ ู‡ุฐุง
284
+
285
+ 72
286
+ 00:08:00,650 --> 00:08:11,880
287
+ V' ููŠ B ุนู„ู‰ 2A ููŠ E ุฃุณ ู†ุงู‚ุต B ุนู„ู‰ 2A ูƒู„ู‡ ููŠ Tู‡ูŠ
288
+
289
+ 73
290
+ 00:08:11,880 --> 00:08:16,000
291
+ ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„ุซุงู†ูŠุฉ ุฒุงุฆุฏ ู„ูƒู† ุงู„ุฅุดุงุฑุฉ ู†ุงู‚ุต ู‡ุชุฎุด
292
+
293
+ 74
294
+ 00:08:16,000 --> 00:08:23,620
295
+ ุนู„ู‰ ุงู„ุฅุชู†ูŠู† ูŠุจู‚ู‰ ุจุชุฌูŠู†ูŠ ู†ุงู‚ุต V ุฒูŠ ู…ุง ู‡ูŠ ู‡ุฐู‡ ู‡ูŠูŠุฌูŠ
296
+
297
+ 75
298
+ 00:08:23,620 --> 00:08:29,180
299
+ ูƒู…ุงู† ู†ุงู‚ุต ูุจุตูŠุฑ ุฒุงุฆุฏ ูˆูŠุฌูŠ ุงู„ุฃุณ ูƒู…ุงู† ู…ุฑุฉ ูŠุจู‚ู‰ B
300
+
301
+ 76
302
+ 00:08:29,180 --> 00:08:36,280
303
+ ุชุฑุจูŠุน ุนู„ู‰ ุฃุฑุจุนุฉ A ุชุฑุจูŠุน ููŠ ุงู„ A ุฃุณ ู†ุงู‚ุต B ุนู„ู‰
304
+
305
+ 77
306
+ 00:08:36,280 --> 00:08:44,600
307
+ ุงุชู†ูŠู† A ูƒู„ู‡ ููŠ TุทูŠุจ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ ุจุฏู‡ ุงุฎุฏ
308
+
309
+ 78
310
+ 00:08:44,600 --> 00:08:50,580
311
+ ุงู„ exponential ุจุฑุง ุนุงู…ู„ ู…ุดุชุฑูƒ ู‡ุฏู‰ ู‡ูŠ ู‡ุฏู‰ ุจุงู„ุถุจุท
312
+
313
+ 79
314
+ 00:08:50,580 --> 00:08:56,200
315
+ ุชู…ุงู…ุง ุตุญูŠุญ ูˆู„ุง ู„ุง ูŠุจู‚ู‰ ุงุชู†ูŠู† ู…ุถุฑูˆุจุฉ ููŠ ูˆุงุญุฏุฉ ููŠู‡ู…
316
+
317
+ 80
318
+ 00:08:56,200 --> 00:09:01,640
319
+ ุงุชู†ูŠู† ู…ุน ุงุชู†ูŠู† ุงู„ู„ู‰ ุชุญุช ูŠุชู… ุงุฎุชุตุงุฑู‡ุง ุงุฐุง ุจุถู„ ุงู† ุงู„
320
+
321
+ 81
322
+ 00:09:01,640 --> 00:09:11,270
323
+ VW prime ู†ุงู‚ุต B ุนู„ู‰ A ููŠ ุงู„ V primeู‡ูŠุญุฌู…ุงู† ุงู„ุชู†ุชูŠู†
324
+
325
+ 82
326
+ 00:09:11,270 --> 00:09:18,170
327
+ ู‡ุฏูˆู„ ู…ุฑุฉ ูˆุงุญุฏุฉ ุฒุงุฆุฏ V ููŠ ุงู„ B ุชุฑุจูŠุฉ ุนู„ู‰ ุงุฑุจุนุฉ A
328
+
329
+ 83
330
+ 00:09:18,170 --> 00:09:22,710
331
+ ุชุฑุจูŠุฉ ูˆูƒู„ ู‡ุฐุง ู‡ู‡ู‡ ููŠ main ููŠ ุงู„ exponential
332
+
333
+ 84
334
+ 00:09:22,710 --> 00:09:31,140
335
+ function E ุฃุณ ู†ุงู‚ุต B ุนู„ู‰ ุงุชู†ูŠู† A ูƒู„ู‡ ููŠ Tุงู„ุงู† ุฌุจุช
336
+
337
+ 85
338
+ 00:09:31,140 --> 00:09:35,480
339
+ y prime ูˆ y double prime ุจุฏูŠ ุงุฑุฌุน ุงุนูˆุถ ููŠ ุงู„ู…ุนุงุฏู„ุฉ
340
+
341
+ 86
342
+ 00:09:35,480 --> 00:09:43,500
343
+ main star ูŠุจู‚ู‰ substitute in
344
+
345
+ 87
346
+ 00:09:43,500 --> 00:09:53,840
347
+ the differential equation star ู†ุญุตู„ ุนู„ู‰ูŠุจู‚ู‰ ุนู†ุฏูŠ
348
+
349
+ 88
350
+ 00:09:53,840 --> 00:09:59,580
351
+ ุฅูŠุดุŸ a ููŠ ุงู„ y double primeุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ูŠุง ุจู†ุงุช a
352
+
353
+ 89
354
+ 00:09:59,580 --> 00:10:03,200
355
+ ุจุฏูŠ ุฃุถุฑุจู‡ุง ููŠ ุงู„ู…ู‚ุฏุงุฑ ู‡ุฐุง ูƒู„ู‡ุŒ ูŠุจู‚ู‰ ุฅูŠุด ุจูŠุตูŠุฑ
356
+
357
+ 90
358
+ 00:10:03,200 --> 00:10:12,660
359
+ ุนู†ุฏู†ุง a ููŠ ุงู„ v double prime ู†ุงู‚ุต b ููŠ ุงู„ v prime
360
+
361
+ 91
362
+ 00:10:12,660 --> 00:10:22,000
363
+ ุฒุงุฆุฏ ุจุชุฑุจูŠุน ุนู„ู‰ ุฃุฑุจุนุฉ a ูู‚ุท ุจุฏูˆู† ุชุฑุจูŠุน ููŠ ุงู„ v
364
+
365
+ 92
366
+ 00:10:23,480 --> 00:10:27,560
367
+ ุฏุฑุจุชู‡ุง ููŠ a ุจุจุทูŠุฑ a ู…ุน ุงู„ a ุชุฑุจูŠู‡ุง ุจูŠุจู‚ู‰ ุงู„ a ุจุณ
368
+
369
+ 93
370
+ 00:10:27,560 --> 00:10:33,280
371
+ ููŠ ุงู„ู…ุนู‚ุงู… ูŠุจู‚ู‰ ู‡ุฐุง ูƒู„ู‡ ู…ู† ุงู„ a ููŠ ุงู„ y double
372
+
373
+ 94
374
+ 00:10:33,280 --> 00:10:38,740
375
+ prime ุทุจุนุง ุงู„ exponential ู‡ุฎู„ูŠู‡ุง ู„ู„ุงุฎุฑ ุฎู„ุงุต ู„ู„ูƒู„
376
+
377
+ 95
378
+ 00:10:38,740 --> 00:10:43,980
379
+ ุงู„ุงู† b ููŠ ุงู„ y prime ูˆูŠู† ุงู„ y prime ู‡ุงูŠู‡ุง ู‡ุถุฑุจู‡ุง
380
+
381
+ 96
382
+ 00:10:43,980 --> 00:10:53,580
383
+ ููŠ b ูŠุจู‚ุงุด ุจุงู„ุตูŠู† ุฒุงุฆุฏุจ ููŠ ุงู„ V' ู†ุงู‚ุต ุจ ุชุฑุจูŠุฉ ุนู„ู‰
384
+
385
+ 97
386
+ 00:10:53,580 --> 00:11:00,110
387
+ ุงุชู†ูŠู† A ููŠ ุงู„ Vุฎู„ุตู†ุง ู…ู†ู‡ุง ุจู‚ู‰ ุงู„ exponential ู„ู„ุงุฎุฑ
388
+
389
+ 98
390
+ 00:11:00,110 --> 00:11:05,710
391
+ ู‡ุงุฎุฏู‡ ุนุงู…ู„ ู…ุดุงุฑูƒุฉ ู…ู† ุงู„ูƒู„ ู‚ุงู„ ุฒุงุฆุฏ C ููŠ ุงู„ Y ู‡ูŠ ุงู„
392
+
393
+ 99
394
+ 00:11:05,710 --> 00:11:12,030
395
+ Y ุงู„ู„ูŠ ู‡ูŠ V ููŠ ุงู„ exponential ูŠุจู‚ู‰ ุฒุงุฆุฏ C ููŠ ุงู„ V
396
+
397
+ 100
398
+ 00:11:12,030 --> 00:11:19,410
399
+ ูˆู‡ุฐุง ูƒู„ู‡ ู…ุถุฑูˆุจ ููŠ ุงู„ exponential E ุฃุต ู†ุงู‚ุต B ุนู„ู‰
400
+
401
+ 101
402
+ 00:11:19,410 --> 00:11:26,930
403
+ 2A ููŠ T ูƒู„ู‡ ุจุฏู‡ ูŠุณูˆู‰ Zeroุณุคุงู„ ู‡ู„ ูŠู…ูƒู† ู„ู„ู€
404
+
405
+ 102
406
+ 00:11:26,930 --> 00:11:30,990
407
+ exponential ููŠ ูŠูˆู… ู…ู† ุงู„ุฃูŠุงู… ุฃู†ู‡ ูŠุณูˆู‰ zero ุฅุฐุง
408
+
409
+ 103
410
+ 00:11:30,990 --> 00:11:36,510
411
+ ุจู†ู‚ุฏุฑ ู†ู‚ุณู… ุนู„ูŠู‡ ุงู„ุทุฑููŠู† ุจุฏูˆู† ู…ุดุงูƒู„ ุตูุฑ ุนู„ู‰ ุฃูŠ ุฑู‚ู…
412
+
413
+ 104
414
+ 00:11:36,510 --> 00:11:41,890
415
+ ูŠุณูˆู‰ ุตูุฑ ุทุงุฑุช ู‡ุฐู‡ ุทูŠุจ ูŠุทู„ุนูŠ ู„ู‡ุฐู‡ BV prime ูˆู‡ุฐู‡
416
+
417
+ 105
418
+ 00:11:41,890 --> 00:11:47,830
419
+ ุงู„ุณุงู„ุจ BV prime ูŠุจู‚ู‰ ู…ุน ุงู„ุณู„ุงู…ุฉ ุทูŠุจ ู†ูŠุฌูŠ ู†ุดูˆู ุดูˆ
420
+
421
+ 106
422
+ 00:11:47,830 --> 00:11:55,440
423
+ ุงู„ู„ูŠ ุญุตู„ ุนู†ุฏู†ุง ุตุงุฑ ุนู†ุฏู†ุง ู…ูŠู† AVW primeุงู„ุจุงู‚ูŠ ู‡ุฐูŠ
424
+
425
+ 107
426
+ 00:11:55,440 --> 00:12:01,340
427
+ ููŠู‡ุง V ูˆ ู‡ุฐูŠ ููŠู‡ุง V ูˆ ู‡ุฐูŠ ููŠู‡ุง V ุฅุฐุง ุจู‚ุฏุฑ ุฃุฎุฏ V
428
+
429
+ 108
430
+ 00:12:01,340 --> 00:12:09,740
431
+ ุนุงู…ู„ ู…ุดุชุฑูƒ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ูƒู„ ุจุณ ุงุทู„ุนูŠู„ูŠ ู„ู‡ุฐู‡ ูˆู‡ุฐู‡ ู…ุด
432
+
433
+ 109
434
+ 00:12:09,740 --> 00:12:15,170
435
+ ู‡ูŠ ุจุณ ุงู„ูุฑู‚ ููŠ ุงู„ coefficientsู‡ุฐู‡ ุฑุจุน ุงู„ู…ู‚ุฏุงุฑ ูˆู‡ุฐู‡
436
+
437
+ 110
438
+ 00:12:15,170 --> 00:12:21,570
439
+ ู†ุต ุงู„ู…ู‚ุฏุงุฑ ุฅุฐุง ุจุถู„ู‡ ุฑุจุน ุงู„ู…ู‚ุฏุงุฑ ุจุฅุดุงุฑุฉ ุณุงู„ุจ ูŠุจู‚ู‰
440
+
441
+ 111
442
+ 00:12:21,570 --> 00:12:31,790
443
+ ุฒุงุฆุฏ ุณุงู„ุจ ุจูŠ ุชุฑุจูŠุน ุนู„ู‰ ุงุฑุจุนุฉ ุง ุฒุงุฆุฏ ุณูŠ ูƒู„ ู‡ุฐุง
444
+
445
+ 112
446
+ 00:12:31,790 --> 00:12:37,550
447
+ ุงู„ูƒู„ุงู… ููŠ V ุจุฏู‡ ูŠุณุงูˆูŠ Zero ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุฏู‡ ุฃู‚ูˆู„ู‡ุง
448
+
449
+ 113
450
+ 00:12:37,550 --> 00:12:44,470
451
+ ู‡ุฐู‡ู‡ูŠ ู†ุฒู„ู†ุง ู‡ุฐู‡ ูƒู…ุง ู‡ูŠ ุงุฎุชุตุฑู†ุง ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ู†ุฌูŠ ู‡ุฐู‡
452
+
453
+ 114
454
+ 00:12:44,470 --> 00:12:50,790
455
+ ูˆ ู‡ุฐู‡ ุฑุจุน P ุชุฑุจูŠุน ุนู„ู‰ A ููŠ V ูˆ ู†ู‚ุต ู†ุต P ุชุฑุจูŠุน ุนู„ู‰
456
+
457
+ 115
458
+ 00:12:50,790 --> 00:12:58,410
459
+ A ููŠ V ู…ุนู†ุงุชู‡ ู‡ุฐุง ุจูŠุจู‚ู‰ ุณุงู„ุจ ุฑุจุน P ุชุฑุจูŠุน ุนู„ู‰ A ููŠ
460
+
461
+ 116
462
+ 00:12:58,410 --> 00:13:03,370
463
+ V ูŠุจู‚ู‰ ู‡ุงูŠ ุณุงู„ุจ ุฑุจุน P ุชุฑุจูŠุน ุนู„ู‰ A ููŠ V ูˆู‡ูŠ ุงู„ V
464
+
465
+ 117
466
+ 00:13:03,370 --> 00:13:09,580
467
+ ุจุฑุงุฒุงุฏ constant C ูŠุจู‚ู‰ ู‡ุงูŠ ุฒุงุฏ ู…ู† C ุฅูŠู‡ ู„ุฎุงุทุฑ ุฃูˆุญุฏ
468
+
469
+ 118
470
+ 00:13:09,580 --> 00:13:14,140
471
+ ุงู„ู…ู‚ุงู…ุงุช ู„ู‡ุฏูˆู„ ูˆ ุฃุดูˆู ู„ูˆูŠู† ุจุฏู‡ ุชูˆุตู„ู†ูŠ ูŠุจู‚ู‰ ู„ูˆ
472
+
473
+ 119
474
+ 00:13:14,140 --> 00:13:21,020
475
+ ูˆุญุฏู†ุง ุงู„ู…ู‚ุงู…ุงุช ู„ู‡ุฏูˆู„ ุฅูŠุด ุจุตูŠุฑ ุนู†ุฏู†ุง AVW prime ุฒุงุฏ
476
+
477
+ 120
478
+ 00:13:21,020 --> 00:13:27,720
479
+ ูƒู„ู‡ ูŠุง ุจู†ุงุช ุนู„ู‰ ู‚ุฏุงุด ุนู„ู‰ 4A ุฅูŠุด ุฑุงูŠูƒ ุฃุฎุฏ ุณุงู„ุจ ุจุฑุง
480
+
481
+ 121
482
+ 00:13:28,380 --> 00:13:35,900
483
+ ุฃุฑูŠุญู„ูŠ ูŠุจู‚ู‰ ุจุตูŠุฑ ุนู†ูŠ ุงู†ุง ูƒุฏุงุด B ุชุงุฑุจูŠุน ู†ุงู‚ุต ุงุฑุจุนุฉ
484
+
485
+ 122
486
+ 00:13:35,900 --> 00:13:42,360
487
+ A C ูƒู„ู‡ ููŠ ุงู„ V ุจุฏู‡ ูŠุณุงูˆูŠ Zero ุตุญูŠุญุŸ ุทุจ ุงูŠู‡ ุดูˆ
488
+
489
+ 123
490
+ 00:13:42,360 --> 00:13:49,050
491
+ ุฑุฃูŠูƒ ู‡ู†ุงุŸุจุชุฑุจูŠุฉ ู†ุงู‚ุต ุฃุฑุจุนุฉ ุฅู„ู‰ C ูŠุจู‚ู‰ ูƒู…ุŸ ูŠุจู‚ู‰ ุงู„
492
+
493
+ 124
494
+ 00:13:49,050 --> 00:13:54,470
495
+ term ุงู„ุฃุฎูŠุฑ ู‡ุฐุง ู…ุน ุงู„ุณู„ุงู…ุฉ ูŠุจู‚ู‰ ู‡ุฐุง ูƒู…ุงู† ุจูŠุฑูˆุญ ุจ
496
+
497
+ 125
498
+ 00:13:54,470 --> 00:14:00,790
499
+ zero because ุงู† ุจุชุฑุจูŠุฉ ู†ุงู‚ุต ุฃุฑุจุนุฉ ุฅู„ู‰ C ุชูุงุฌู†
500
+
501
+ 126
502
+ 00:14:00,790 --> 00:14:05,950
503
+ ุนู„ูŠู†ุง ุตูุฑ ู…ู† ู…ูŠู†ุŸ ู…ู† ุงู„ุจุฏุงูŠุฉ ูŠุจู‚ู‰ ุงูŠุด ุถุงู„ุฉ
504
+
505
+ 127
506
+ 00:14:05,950 --> 00:14:11,810
507
+ ุงู„ู†ู…ูˆู†ุงุชุŸ every double prime ุจุฏู‡ ูŠุณุงูˆูŠ zeroูŠุจู‚ู‰ ู„ูˆ
508
+
509
+ 128
510
+ 00:14:11,810 --> 00:14:17,470
511
+ ุฌุณู…ู†ุง ุนู„ู‰ a ุจุตูŠุฑ v double prime ูŠุณุงูˆูŠ zero ุจู†ูุน
512
+
513
+ 129
514
+ 00:14:17,470 --> 00:14:22,750
515
+ ุฃุฌุณู… ุนู„ู‰ aุŸ ุจู†ูุน ู„ุฃู† a ู„ุง ูŠู…ูƒู† ุฃู† ุชุณุงูˆูŠ zero ู„ูˆ
516
+
517
+ 130
518
+ 00:14:22,750 --> 00:14:27,310
519
+ ูƒุงู†ุช ุงู„ a ุจ zero ู„ุงู†ุฒู„ุช ุฑุชุจุฉ a ุงู„ู…ูˆู‚ุนูŠุฉ ู„ู…ุง ุงู„ุฑุชุจุฉ
520
+
521
+ 131
522
+ 00:14:27,310 --> 00:14:30,530
523
+ ุซุงู†ูŠุฉ ุฅู„ู‰ ุงู„ุฑุชุจุฉ ุงู„ุฃูˆู„ู‰ ูˆ ุงุญู†ุง ุดุบู„ู†ุง ููŠ ุงู„ุฑุชุจุฉ
524
+
525
+ 132
526
+ 00:14:30,530 --> 00:14:34,870
527
+ ุงู„ุซุงู†ูŠุฉ ูŠุจู‚ู‰ a ู„ุง ูŠู…ูƒู† ุฃู† ุชุณุงูˆูŠ zero ุจุฃูŠ ุญุงู„ุฉ ู…ู†
528
+
529
+ 133
530
+ 00:14:34,870 --> 00:14:39,290
531
+ ุงู„ุฃุญูˆุงู„ ูŠุจู‚ู‰ ุจู†ุฌุณู… ุนู„ูŠู‡ุง without problems ุจุฏูˆู† ุฃูŠ
532
+
533
+ 134
534
+ 00:14:39,290 --> 00:14:45,110
535
+ ู…ุดูƒู„ุฉุทูŠุจ ูŠุจู‚ู‰ ู„ูˆ ูƒู…ู„ู†ุง ู…ุฑุชูŠู† ุจู†ุญุตู„ ุนู„ู‰ ุดูƒู„ ุงู„ V of
536
+
537
+ 135
538
+ 00:14:45,110 --> 00:14:49,830
539
+ T ุงู„ู„ูŠ ุฑูˆุญู†ุง ู‚ูˆู„ู†ุง ู‡ู†ุง we shall find ุงู„ุดูƒู„ ุชุจุนู‡ุง
540
+
541
+ 136
542
+ 00:14:49,830 --> 00:14:53,830
543
+ ุจุฏูŠ ุฃูƒู…ู„ ู…ุฑุชูŠู† ุจุญุตู„ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ู„ูŠ ุจุฏ ุฃูŠุงู… ูŠุจู‚ู‰
544
+
545
+ 137
546
+ 00:14:53,830 --> 00:14:59,250
547
+ ุจู†ุงุก ุนู„ู‰ ู„ูˆ ูƒู…ู„ุช ู…ุฑุฉ ูˆุงุญุฏุฉ ุจุตูŠุฑ V prime of T ูŠุณูˆู‰
548
+
549
+ 138
550
+ 00:14:59,250 --> 00:15:05,390
551
+ ูƒุฏู‡ุŸ C1 ุงู† ูƒู…ู„ุช ูƒู…ุงู† ู…ุฑุฉูŠุจู‚ู‰ ู„ูˆ ูƒู…ู„ู†ุง ูƒู…ุงู† ู…ุฑุฉ
552
+
553
+ 139
554
+ 00:15:05,390 --> 00:15:14,070
555
+ ุจุตูŠุฑ V of T ุจุฏูŠ ุณุงูˆูŠ C1T ุฒุงุฆุฏ C2 ุทุจ ุชุนุงู„ู‰ ู†ุชูู‡ู…
556
+
557
+ 140
558
+ 00:15:14,070 --> 00:15:20,870
559
+ ุนู„ู‰ ุงู„ constants ู‡ุฏูˆู„ C2 ุนุจุงุฑุฉ ุนู† ุฑู‚ู… ู„ูˆ ุงุฏูŠ ุงุฎุฏู‡
560
+
561
+ 141
562
+ 00:15:20,870 --> 00:15:29,170
563
+ ู‡ุฐุง ุฑู‚ู… ุบูŠุฑ ุงู„ุตูุฑุจุตูŠุฑ V CT1 ุฒุงุฆุฏ ุฑู‚ู… ุงู„ุฑู‚ู… ู‡ุฐุง ู„ู…ุง
564
+
565
+ 142
566
+ 00:15:29,170 --> 00:15:33,790
567
+ ุงุฑุฌุน ุงุถุฑุจู‡ ููŠ ุงู„ุญู„ ุงู„ู„ู‰ ููˆู‚ ุจุฑู‚ู… ูŠุนู†ูŠ ุงุด ูŠุนู†ูŠ
568
+
569
+ 143
570
+ 00:15:33,790 --> 00:15:38,970
571
+ ูƒุฑุฑุชูŠ ุงู„ุญู„ ุงู„ู„ู‰ ุนู†ุฏูŠ ุตุญูŠุญ ูˆู„ุง ู„ุง ุชูƒุฑุงุฑ ู„ุง ูุงุฆุฏุฉ
572
+
573
+ 144
574
+ 00:15:38,970 --> 00:15:45,550
575
+ ู…ู†ู‡ ุงุฐุง ู…ู…ูƒู† ุงุฎุฏ C2 ุจู‚ุฏุงุด ุจุตูุฑ ุญุชู‰ ู„ุง ูŠุญุฏุซ ุชูƒุฑุงุฑ
576
+
577
+ 145
578
+ 00:15:45,860 --> 00:15:52,440
579
+ ูŠุจู‚ู‰ ุงุชูุงู‚ู†ุง C2 ุจ0 V of T ู‚ุงู„ ู„ูŠ constant ููŠ T ู‡ู„
580
+
581
+ 146
582
+ 00:15:52,440 --> 00:15:56,860
583
+ ุงู„ constant ู„ู‡ ุชุฃุซูŠุฑ ุนู„ู‰ ุงู„ุญู„ุŸ ู„ุง ู…ุงุนู†ุฏูŠุด ูŠุจู‚ู‰ ู„ูˆ
584
+
585
+ 147
586
+ 00:15:56,860 --> 00:16:01,340
587
+ ุนู†ุฏูŠ ุญู„ ุงุถุฑุจู‡ ููŠ constant ูˆุงู„ู„ู‡ ู…ูŠุฉ constant ุจุธู„
588
+
589
+ 148
590
+ 00:16:01,340 --> 00:16:07,300
591
+ ู‡ูˆ ุญู„ ูŠุจู‚ู‰ ู‡ู†ุง V of T in general ู‡ูŠ T ูˆุจุงู„ุชุงู„ูŠ
592
+
593
+ 149
594
+ 00:16:07,300 --> 00:16:18,100
595
+ ุจู‚ุฏุฑ ุงุฎุฏ C1 ุจ1 ูˆC2 ุจ0ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ ุง take ุฎุฏู„ูŠ c1
596
+
597
+ 150
598
+ 00:16:18,100 --> 00:16:29,000
599
+ ุชุณุงูˆูŠ 1 and c2 ุชุณุงูˆูŠ 0 we get ุจู†ุญุตู„ ุนู„ู‰ v of t ุจุฏู‡
600
+
601
+ 151
602
+ 00:16:29,000 --> 00:16:36,480
603
+ ูŠุณุงูˆูŠ t ูู‚ุท ุฏู‡ ุบูŠุฑ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ the second
604
+
605
+ 152
606
+ 00:16:36,480 --> 00:16:39,560
607
+ solution
608
+
609
+ 153
610
+ 00:16:59,270 --> 00:17:09,260
611
+ ุงู„ุณุคุงู„ ู‡ูˆ ู‡ู„ ู‡ุฐุง ุงู„ุญู„ู…ุน ุงู„ุญู„ ุงู„ุฃูˆู„ุงู†ูŠ Y1 of T
612
+
613
+ 154
614
+ 00:17:09,260 --> 00:17:17,840
615
+ ุจูƒูˆู†ูˆู„ูŠ ู…ุฌู…ูˆุนุฉ ุงู„ุญู„ูˆู„ ุงู„ุฃุณุงุณูŠุฉ ุงู„ุฅุฌุงุจุฉ ุงู„ู„ู‡ ุฃุนู„ู…ุนู†
616
+
617
+ 155
618
+ 00:17:17,840 --> 00:17:23,280
619
+ ุงู„ุฑูˆู†ูŠุณูƒูŠู† ุฅุฐุง ูƒุงู† ุฑูˆู†ูŠูƒุณ ู„ุง ูŠุณุงูˆูŠ 0 ูŠุจู‚ู‰ ุงุชู†ูŠู†
620
+
621
+ 156
622
+ 00:17:23,280 --> 00:17:26,300
623
+ ู‡ุฐูˆู„ ูŠุฌูŠุจูˆู„ูŠ ุงู„ fundamental set of solutions
624
+
625
+ 157
626
+ 00:17:26,300 --> 00:17:31,020
627
+ ูˆุจุงู„ุชุงู„ูŠ ูŠุฌูŠุจูˆู„ูŠ ุดูƒู„ ุงู„ general solution ุฅุฐุง ุจุฏู†ุง
628
+
629
+ 158
630
+ 00:17:31,020 --> 00:17:36,240
631
+ ู†ุฑูˆุญ ู†ุญุณุจ ุฑูˆู†ูŠุณูƒูŠู† ุชุจุน ู…ู† ุชุจุน ุงู„ุญู„ู„ ุงุชู†ูŠู† ู‡ุฐูˆู„
632
+
633
+ 159
634
+ 00:17:36,240 --> 00:17:42,180
635
+ ูˆู†ุดูˆู ู‡ู„ ุจูŠู‚ุฏุฑ ุงู„ุบุฑุถ ุงู… ู„ุงุงุฐุง ู‚ุฏูˆุง ุงู„ุบุฑุถ ุจูƒูˆู†ูˆุง
636
+
637
+ 160
638
+ 00:17:42,180 --> 00:17:47,640
639
+ ุงู†ุชู‡ูŠู†ุง ู…ู† ู…ุณู„ุชู†ุง ูˆุงุฐุง ู…ุง ู‚ุฏูˆุด ุจุตูŠุฑ ููŠู‡ ูƒู„ุงู… ุชุงู†ูŠ
640
+
641
+ 161
642
+ 00:17:50,210 --> 00:17:56,290
643
+ ุทูŠุจ ุงุฐุง ุจุงุฏุฑูˆุญ ุงุงุฎุฏ ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ุญู„ ุงู„ุฃูˆู„ ูˆุงู„ุญู„
644
+
645
+ 162
646
+ 00:17:56,290 --> 00:18:01,870
647
+ ุงู„ุชุงู†ูŠ as a function of T ุงู„ุญู„ ุงู„ุฃูˆู„ E ุฃุณ ู†ุงู‚ุต B
648
+
649
+ 163
650
+ 00:18:01,870 --> 00:18:09,230
651
+ ุนู„ู‰ ุงุชู†ูŠู† A ููŠ T ูˆุงู„ุญู„ ุงู„ุชุงู†ูŠ T ููŠ E ุฃุณ ู†ุงู‚ุต B ุนู„ู‰
652
+
653
+ 164
654
+ 00:18:09,230 --> 00:18:15,770
655
+ ุงุชู†ูŠู† A ููŠ Tุจู†ุดุชุบู„ ุงู„ุญู„ ุงู„ุฃูˆู„ ูŠุจู‚ู‰ ู†ุงู‚ุต ุจูŠ ุนู„ู‰
656
+
657
+ 165
658
+ 00:18:15,770 --> 00:18:24,410
659
+ ุงุชู†ูŠู† ุง ููŠ ุงู„ E ุฃุณ ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† ุง ููŠ T ุจูŠ ุนู„ู‰
660
+
661
+ 166
662
+ 00:18:24,410 --> 00:18:31,010
663
+ ุงุชู†ูŠู† ุง ูƒู„ู‡ ููŠ TExponential ู…ุฌุชู‚ุชู‡ุง ู†ูุณู‡ุง ุถุฑุจ
664
+
665
+ 167
666
+ 00:18:31,010 --> 00:18:37,770
667
+ ู…ุฌุชู‚ุช ุงู„ุฃุณ ู‡ุฐูŠ ู…ุฌุชู‚ุช ุญุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูŠุจู‚ู‰ ู…ุฌุชู‚ุช
668
+
669
+ 168
670
+ 00:18:37,770 --> 00:18:43,370
671
+ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงุญุฏ ุจูŠุธู„ ุงู„ exponential ูู‚ุท ู„ุง ุบูŠุฑ
672
+
673
+ 169
674
+ 00:18:43,370 --> 00:18:52,470
675
+ ู†ุงู‚ุต b ุนู„ู‰ ุงุชู†ูŠู† a ููŠ t ููŠ ุงุณ ู†ุงู‚ุต b ุนู„ู‰ ุงุชู†ูŠู† a
676
+
677
+ 170
678
+ 00:18:52,470 --> 00:18:56,860
679
+ ููŠ tุงู„ู„ูŠ ู‡ูŠ ู…ุดุชู‚ุฉ ู…ู† ุงู„ุฏุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ููŠ ุงู„ุฏุงู„ุฉ
680
+
681
+ 171
682
+ 00:18:56,860 --> 00:19:03,660
683
+ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูŠ T ุงู†ููƒ ุงู„ู…ุญุฏุฏ ู‡ุฐุง ูŠุจู‚ู‰ ุจุทู„ ุนู†ุง E ุฃุณ
684
+
685
+ 172
686
+ 00:19:03,660 --> 00:19:12,180
687
+ ู†ุงู‚ุต B ุนู„ู‰ A ูƒู„ู‡ ููŠ Tู…ุธุจูˆุทุŸ ู†ุต ุฒุงุฏ ู†ุต ุงู„ู„ูŠ ู‡ูˆ ุญุตุฑูŠ
688
+
689
+ 173
690
+ 00:19:12,180 --> 00:19:21,160
691
+ ูŠุนู†ูŠ ุจูŠุธู„ ุจูŠ ุนู„ู‰ a ููŠ t ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† a ููŠ t
692
+
693
+ 174
694
+ 00:19:21,160 --> 00:19:34,370
695
+ ููŠ a ุฃุณ ู†ุงู‚ุต ุจูŠ ุนู„ู‰ a ููŠ tู‡ูŠ ุจูŠุถุน ุจูŠุถุน
696
+
697
+ 175
698
+ 00:19:34,370 --> 00:19:47,510
699
+ ุจูŠุถุน
700
+
701
+ 176
702
+ 00:19:47,510 --> 00:19:52,190
703
+ ุจูŠุถุน
704
+
705
+ 177
706
+ 00:19:52,190 --> 00:19:56,210
707
+ ุจูŠุถุน ุจูŠุถุน ุจูŠุถุน ุจูŠุถุน
708
+
709
+ 178
710
+ 00:20:01,940 --> 00:20:08,320
711
+ ูŠุจู‚ู‰ ู…ุน ุงู„ุณู„ุงู…ุฉ ุบูŠุฑ ู…ุฃุณูˆู ุนู„ูŠู‡ู… ุงู„ู†ุชูŠุฌุฉ ุฅุฐุง E ุฃูˆุต
712
+
713
+ 179
714
+ 00:20:08,320 --> 00:20:14,500
715
+ ู†ุงู‚ุต B ุนู„ู‰ A ูู‰ T ู‡ู„ ู‡ุฐู‡ ููŠ ูŠูˆู… ุงู„ูŠูˆู… ู…ู…ูƒู† ุชุณุงูˆูŠ
716
+
717
+ 180
718
+ 00:20:14,500 --> 00:20:19,360
719
+ Zero ู„ุฃ ู„ุฃ ู†ุงูƒุณุจูˆู†ู†ุดูŠู„ ูุงู†ูƒุดู† ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู„ูŠ ูŠู…ูƒู†
720
+
721
+ 181
722
+ 00:20:19,360 --> 00:20:27,750
723
+ ุฃู† ุชุณุงูˆูŠ Zero So ุงู„ E ุฃูˆุต ู†ุงู‚ุต B ุนู„ู‰ 2A ูู‰ Tand T
724
+
725
+ 182
726
+ 00:20:27,750 --> 00:20:35,430
727
+ ููŠ E ุงุต ู†ุงู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† A ููŠ T form a
728
+
729
+ 183
730
+ 00:20:35,430 --> 00:20:44,730
731
+ fundamental set
732
+
733
+ 184
734
+ 00:20:44,730 --> 00:20:52,670
735
+ of solutions of
736
+
737
+ 185
738
+ 00:20:52,670 --> 00:20:53,990
739
+ the
740
+
741
+ 186
742
+ 00:20:59,810 --> 00:21:10,170
743
+ ุจู†ุงุกู‹ ุขู„ูŠ ุฃุตุจุญ the general solution of
744
+
745
+ 187
746
+ 00:21:10,170 --> 00:21:15,810
747
+ question star is why you sell
748
+
749
+ 188
750
+ 00:21:20,640 --> 00:21:31,220
751
+ C1E-P2AT C2T E-P2AT
752
+
753
+ 189
754
+ 00:21:31,220 --> 00:21:40,580
755
+ ุฃูˆ ู„ุณู‡ูˆู„ุฉ ุจู†ู‚ูˆู„ Y ูŠุณูˆู‰ C1C2T
756
+
757
+ 190
758
+ 00:21:40,580 --> 00:21:46,620
759
+ E-P2AT
760
+
761
+ 191
762
+ 00:21:48,280 --> 00:21:54,420
763
+ ุฃูˆ ู…ู…ูƒู† ู†ุญุทู‡ ุจุตูŠุบุฉ ุฃุฎุฑู‰ ุงู„ู†ู‚ุต P ุนู„ู‰ 2A ู…ุด ู‡ูˆ ุนุจุงุฑุฉ
764
+
765
+ 192
766
+ 00:21:54,420 --> 00:21:59,120
767
+ ุนู† ุงู„ุฌุฐุฑ ุชุจุน ุงู„ู€ Acceleration equation ุฃูˆ ุงู„
768
+
769
+ 193
770
+ 00:21:59,120 --> 00:22:04,520
771
+ characteristic equation ุฅุฐุง ู…ู…ูƒู† ุฃุญุทู‡ ุจุตูŠุบุฉ ุฃุฎุฑู‰
772
+
773
+ 194
774
+ 00:22:04,520 --> 00:22:12,720
775
+ ูˆูŠุณูˆู‰ C1 ุฒุงุฆุฏ C2T ููŠ USR Tู‡ุฐุง ู‡ูˆ ุงู„ุฌุฐุฑ ุงู„ู„ู‰ ุจูŠุทู„ุน
776
+
777
+ 195
778
+ 00:22:12,720 --> 00:22:18,780
779
+ ุนู†ุฏู†ุง ุงู„ุฌุฐุฑ ุงู„ู…ูƒุฑุฑ ูŠุจู‚ู‰ ุจู†ุงุช ู‡ุฐุง ุงู„ุดูƒู„ ุงู„ุญู„ ุงู„ู„ู‰
780
+
781
+ 196
782
+ 00:22:18,780 --> 00:22:24,660
783
+ ุนู†ุฏู†ุง ู‡ุฏู‰ ูˆ ู‡ุฏุณูŠุง ูู‰ ุญุงู„ุฉ ุงู„ roots ุชุจู‚ู‰ ู…ุนุงู‡ุง
784
+
785
+ 197
786
+ 00:22:24,660 --> 00:22:32,440
787
+ repeated roots ุญุฏ ุงู„ู„ู‰ ู‡ู‰ ุชุณุงูˆู„ ู‡ู†ุง ุทุจุนุง ุงู„ู„ู‰
788
+
789
+ 198
790
+ 00:22:32,440 --> 00:22:35,320
791
+ ู…ุงูƒู†ุช ู…ุณุชุบุฑุจูŠู‡ ู„ุฃู† ู‡ูˆ ุงู„ู„ู‰ ูƒู†ุง ุฑุงูุนูŠู† ู‡ูˆ repeated
792
+
793
+ 199
794
+ 00:22:35,320 --> 00:22:40,190
795
+ roots ูˆ reduction of order ุงู„ู„ู‰ ุงุฎุชุฒุงู„ ุงู„ุฑุชุจุฉู†ุธุฑุง
796
+
797
+ 200
798
+ 00:22:40,190 --> 00:22:43,290
799
+ ู„ุฃู† ุทุฑูŠู‚ุฉ ุงุฎุชุฒุงู„ ุงู„ุฑุชุจุฉ ุฒูŠ ุทุฑูŠู‚ุฉ production of
800
+
801
+ 201
802
+ 00:22:43,290 --> 00:22:48,990
803
+ words ูุญุทูŠู†ุง 2 ููŠ main ููŠ section 1 ุทูŠุจ ู†ุจุฏุฃ ุงู„ุฃู†
804
+
805
+ 202
806
+ 00:22:48,990 --> 00:22:55,050
807
+ ู†ุงุฎุฏ ุฃู…ุซู„ุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ section ุฃูˆ ุนู„ู‰ repeat ุชุฏุฑุณ
808
+
809
+ 203
810
+ 00:22:55,050 --> 00:23:03,330
811
+ ุชุทุจูŠู‚ ุนู…ู„ูŠ ู„ุดูŠุก ุงู„ู„ูŠ ุดูู†ุงู‡ ู‡ู†ุง ุงู„ู„ูŠ
812
+
813
+ 204
814
+ 00:23:03,330 --> 00:23:06,870
815
+ ุจุชุณุฃู„ ู…ูŠู† ูˆู…ุงุฐุง ุชู‚ูˆู„ ูˆุฃูŠู† ุงู„ุณุงุฆู„ุฉ
816
+
817
+ 205
818
+ 00:23:09,370 --> 00:23:13,970
819
+ ุจุนุฏ ู†ู‡ุงูŠุฉ ู‡ุฐุง ุงู„ section ุจูŠุนุทูŠูƒ ุงุชู†ูŠู† ู„ู‚ูˆู„ ูŠุนู‚ูˆุจ
820
+
821
+ 206
822
+ 00:23:13,970 --> 00:23:20,070
823
+ ุนู„ูŠู‡ ุงู„ุณู„ุงู… ูุตุจุฑ ุฌู…ูŠู„ ุนุตู‰ ุงู„ู„ู‡ ุฃู† ูŠุงุชูŠู†ูŠ ุจู‡ู… ุฌู…ูŠุน
824
+
825
+ 207
826
+ 00:23:20,070 --> 00:23:27,090
827
+ ูŠุนู†ูŠ ูŠุงุชูŠ ุจูŠูˆุณู ูˆุฃุฎูˆู‡ ุจู† ูŠุงู…ูŠู† ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุจู†ุงุฌูŠ ู„ุง
828
+
829
+ 208
830
+ 00:23:27,090 --> 00:23:27,690
831
+ examples
832
+
833
+ 209
834
+ 00:23:39,510 --> 00:23:45,650
835
+ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ู‡ูˆ
836
+
837
+ 210
838
+ 00:23:45,650 --> 00:23:47,850
839
+ ุณุคุงู„ ุชู…ุงู†ูŠุฉ ู…ู† ุงู„ูƒุชุงุจ
840
+
841
+ 211
842
+ 00:24:04,520 --> 00:24:16,680
843
+ 16y double prime ุฒุงุฆุฏ 24y prime ุฒุงุฆุฏ 9y ูŠุณุงูˆูŠ 0
844
+
845
+ 212
846
+ 00:24:25,580 --> 00:24:30,420
847
+ ุณุคุงู„ ู…ุฑุฉ ุชุงู†ูŠุฉุŒ ู…ุงุทูŠู†ูŠ ู…ุนุงุฏู„ุฉ ูุถู„ูŠุฉ ู…ู† ุงู„ุฑุชุจุฉ
848
+
849
+ 213
850
+ 00:24:30,420 --> 00:24:35,060
851
+ ุงู„ุซุงู†ูŠุฉ ูˆุงู„ constant coefficients ุจู…ุนุงู…ู„ุงุช ุซุงุจุชุฉ
852
+
853
+ 214
854
+ 00:24:35,060 --> 00:24:40,530
855
+ ูˆุทู„ุจ ู…ู†ูŠ ุฅูŠุฌุงุฏ ุงู„ุญู„ ุงู„ุนุงู… ู„ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉูŠุจู‚ู‰
856
+
857
+ 215
858
+ 00:24:40,530 --> 00:24:44,390
859
+ ุงู„ุชูƒุชูŠูƒ ูƒู…ุง ู…ุงุดูŠู†ุง ููŠ ุญุงู„ุฉ ุงู„ complex roots ูˆูƒู…ุง
860
+
861
+ 216
862
+ 00:24:44,390 --> 00:24:48,530
863
+ ู…ุงุดูŠู†ุง ููŠ ุญุงู„ุฉ ุงู„ real different roots ูŠุจู‚ู‰ ุจุฏุงุฌุฉ
864
+
865
+ 217
866
+ 00:24:48,530 --> 00:24:56,790
867
+ ุงู‚ูˆู„ ู„ู‡ ุงูุชุฑุถ let Y ุชุณุงูˆูŠ E ุฃุณ R T ู…ุงู„ู‡ุง ุจ
868
+
869
+ 218
870
+ 00:24:56,790 --> 00:25:01,610
871
+ solution then
872
+
873
+ 219
874
+ 00:25:06,290 --> 00:25:17,690
875
+ A characteristic equation is ูŠุจู‚ู‰ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ
876
+
877
+ 220
878
+ 00:25:17,690 --> 00:25:30,130
879
+ ูˆุฑุงุนุท ู„ูŠ 16R ุชุฑุจูŠุฉ ุฒุงุฆุฏ 24R ุฒุงุฆุฏ 9 ุจุฏู‰ ูŠุณูˆู‰ ุฌุฏูŠุฑ 0
880
+
881
+ 221
882
+ 00:25:30,130 --> 00:25:37,060
883
+ ุฃูˆู„ูˆ ุฌูŠู†ุง ุญู„ู„ู†ุงู‡ุง ุฅู„ู‰ ู‚ูˆุณูŠู† ุงู„ุดูƒู„ ู„ุฃู† ู‡ุฐุง ุจูŠุตูŠุฑ
884
+
885
+ 222
886
+ 00:25:37,060 --> 00:25:45,010
887
+ ุงุฑุจุน R ูˆู‡ู†ุง ุงุฑุจุน R ูˆู‡ู†ุง ุชู„ุงุชุฉูˆู‡ู†ุง ุชู„ุงุชุฉ ุชู†ุชูŠู† ุฒุงุฆุฏ
888
+
889
+ 223
890
+ 00:25:45,010 --> 00:25:50,290
891
+ ุชู„ุงุชุฉ ูˆุงุฑุจุนุฉ ูˆุงุทู…ุงุด ูˆุงุทู…ุงุด ุงุฑุจุนุฉ ูˆุนุดุฑูŠู† ูˆุทู„ุน ู†ูุณูŠ
892
+
893
+ 224
894
+ 00:25:50,290 --> 00:25:55,630
895
+ ุงู„ู‚ูˆุณ ูŠุนู†ูŠ ุจุฏู‡ ูŠุณุงูˆูŠ zero ู‡ุฐุง ู…ุนู†ุงุชู‡ ุงู†ู‡ ุงุฑุจุนุฉ R
896
+
897
+ 225
898
+ 00:25:55,630 --> 00:26:01,850
899
+ ุฒุงุฆุฏ ุชู„ุงุชุฉ ู„ูƒู„ ุชุฑุจูŠุฉ ุจุฏู‡ ูŠุณุงูˆูŠ ุฌุฏุงุด Zero ูŠุจู‚ู‰ ุตุงุฑ
900
+
901
+ 226
902
+ 00:26:01,850 --> 00:26:07,610
903
+ ู‡ู†ุง repeated roots ูŠุจู‚ู‰ ุจุตูŠุฑ ุนู†ุฏ ู‡ู†ุง ุงู„ R ูˆุงุญุฏ
904
+
905
+ 227
906
+ 00:26:07,610 --> 00:26:15,160
907
+ ุชุณุงูˆูŠ R ุงุชู†ูŠู†ุชุณุงูˆูŠ ุณุงู„ุจ ุชู„ุช ุฑุจุงุน ูŠุจู‚ู‰ ุทุงู„ุน ุนู†ุฏู†ุง
908
+
909
+ 228
910
+ 00:26:15,160 --> 00:26:20,280
911
+ real repeated roots ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ุง real
912
+
913
+ 229
914
+ 00:26:20,280 --> 00:26:29,680
915
+ repeated roots ุฌุฐูˆุฑ ุญู‚ูŠู‚ูŠุฉ ูˆ ู…ูƒุฑุฑุฉ ูŠุจู‚ู‰ ุจุตูŠุฑ ุงู„
916
+
917
+ 230
918
+ 00:26:29,680 --> 00:26:35,000
919
+ general solution ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ูŠุจู‚ู‰ the general
920
+
921
+ 231
922
+ 00:26:35,000 --> 00:26:37,480
923
+ solution
924
+
925
+ 232
926
+ 00:26:38,920 --> 00:26:50,700
927
+ is y ุชุณุงูˆูŠ c1 ุฒุงุฆุฏ c2t ููŠ e ุฃุณ r ุชูŠ ุงุฑ ุจู‚ุฏุฑ ุชู„ุช
928
+
929
+ 233
930
+ 00:26:50,700 --> 00:26:59,660
931
+ ุงุฑุจุน ูŠุจู‚ู‰ ุจุงู„ุณุงู„ุจ ุชู„ุช ุงุฑุจุน ุงู„ู„ูŠ ู‡ูˆ ูƒู„ู‡ ููŠ ู…ู† ููŠ ุชูŠ
932
+
933
+ 234
934
+ 00:26:59,660 --> 00:27:07,520
935
+ ู‡ุฐุง ุงู„ุญู„ ุงู„ุนุงู… ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ู†ุงุฎุฏ ูƒู…ุงู† ู…ุซุงู„
936
+
937
+ 235
938
+ 00:27:08,230 --> 00:27:17,270
939
+ ูŠุจู‚ู‰ example 2 ุณุคุงู„ 14 ู…ู† ุงู„ูƒุชุงุจ ุจูŠู‚ูˆู„ solve the
940
+
941
+ 236
942
+ 00:27:17,270 --> 00:27:24,610
943
+ initial value problemุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ y double prime
944
+
945
+ 237
946
+ 00:27:24,610 --> 00:27:32,510
947
+ ุฒุงุฆุฏ ุฃุฑุจุนุฉ y prime ุฒุงุฆุฏ ุฃุฑุจุนุฉ y ุชุณุงูˆูŠ zero ูˆู…ุนุทูŠู†ูŠ
948
+
949
+ 238
950
+ 00:27:32,510 --> 00:27:37,430
951
+ two initial conditions y ุนู†ุฏ ุงู„ุณู„ุจ ูˆุงุญุฏ ูŠุณุงูˆูŠ
952
+
953
+ 239
954
+ 00:27:37,430 --> 00:27:44,800
955
+ ุงุชู†ูŠู† ูˆ y prime ุนู†ุฏ ุงู„ุณู„ุจ ูˆุงุญุฏ ูŠุณุงูˆูŠ ู…ูŠู†ุŸูˆ ุงุญุฏู‡
956
+
957
+ 240
958
+ 00:27:44,800 --> 00:27:48,300
959
+ ู‚ุงู„ ู„ูŠ solve ุงู„ initial condition ุงู„ initial value
960
+
961
+ 241
962
+ 00:27:48,300 --> 00:27:51,860
963
+ problem ุงู„ู„ูŠ ุนู†ุฏู†ุง ูŠุจู‚ู‰ ุจุงู„ูŠ ุจู‚ูˆู„ู‡ solution
964
+
965
+ 242
966
+ 00:27:56,700 --> 00:28:02,340
967
+ ูŠุจู‚ู‰ ุชูƒุชูŠูƒ ุงู„ุญู„ ูŠุง ุจู†ุงุช ุฒูŠ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ุชู…ุงู…ุง ุจุณ
968
+
969
+ 243
970
+ 00:28:02,340 --> 00:28:07,880
971
+ ุจุนุฏ ู…ุง ู†ุฌูŠุจ ุงู„ U ูˆ C1 ูˆ C2 ุจุฏู†ุง ู†ุฑูˆุญ ุจุงุณุชุฎุฏุงู…
972
+
973
+ 244
974
+ 00:28:07,880 --> 00:28:14,300
975
+ ุงู„ุดุฑูˆุท ุงู„ุงุจุชุฏุงุฆูŠุฉ ุงู„ู„ูŠ ู…ูŠุนุทูŠู†ูŠู‡ุง ุงู† ุงุฑูˆุญ ุงุฌูŠุจ ู…ู†
976
+
977
+ 245
978
+ 00:28:14,300 --> 00:28:18,810
979
+ ุงุฌูŠุจ ุงู„ุญู„ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰ ุจู‚ู‰
980
+
981
+ 246
982
+ 00:28:18,810 --> 00:28:24,590
983
+ ุจู‚ู‰
984
+
985
+ 247
986
+ 00:28:39,130 --> 00:28:45,490
987
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู…ู…ูŠุฒุฉ ุฑ ุชุฑุจูŠุน ุฒุงุฆุฏ ุงุฑุจุนุฉ ุฑ ุฒุงุฆุฏ ุงุฑุจุนุฉ ุฑ
988
+
989
+ 248
990
+ 00:28:46,920 --> 00:28:53,820
991
+ 0 ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† main R ุฒุงุฆุฏ ุงุชู†ูŠู† ู„ูƒู„ ุชุฑุจูŠุน
992
+
993
+ 249
994
+ 00:28:53,820 --> 00:29:01,340
995
+ ุจุฏู‡ ูŠุณุงูˆูŠ zero ู‡ุฐุง ู…ุนู†ุงู‡ ุงู† ุฑ ูˆุงุญุฏ ุจุฏู‡ุง ุชุณุงูˆูŠ R
996
+
997
+ 250
998
+ 00:29:01,340 --> 00:29:06,160
999
+ ุงุชู†ูŠู† ุจุฏู‡ุง ุชุณุงูˆูŠ ุณุงู„ุจ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูŠ repeated roots
1000
+
1001
+ 251
1002
+ 00:29:06,160 --> 00:29:13,440
1003
+ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ู‡ู†ุง the general solution
1004
+
1005
+ 252
1006
+ 00:29:16,620 --> 00:29:29,720
1007
+ Y ุชุณุงูˆูŠ C1 ุฒูŠ C2T ููŠ E ุฃุณ ู†ุงู‚ุต 2Tู†ุดุชุงู‚ู‡ุง ุจุงู„ู…ุฑุฉ
1008
+
1009
+ 253
1010
+ 00:29:29,720 --> 00:29:36,720
1011
+ ู†ุดุชุงู‚ู‡ุง ุจุงู„ู…ุฑุฉ ูŠุงู„ุง ู‡ุงูŠ y prime ูŠุณุงุนุฏ ู‡ุฐู‡ ู…ุดุชู‚ุฉ
1012
+
1013
+ 254
1014
+ 00:29:36,720 --> 00:29:44,480
1015
+ ุญุงุตู„ ุถุฑุจ ุฏู„ุชูŠู† ูŠุจู‚ู‰ ู…ุดุชู‚ุฉ c1 ุจ zero ูˆู…ุดุชู‚ุฉ c2t ุจ
1016
+
1017
+ 255
1018
+ 00:29:44,480 --> 00:29:54,500
1019
+ c2 ูŠุจู‚ู‰ ู‡ุงูŠ c2 ููŠ e ุฃุต ู†ุงู‚ุต 2t ู…ุดุชู‚ุฉ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰
1020
+
1021
+ 256
1022
+ 00:29:54,500 --> 00:29:58,220
1023
+ ููŠ ุงู„ุซุงู†ูŠุฉุฒุงุฏ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌูˆุงุฒ ููŠ
1024
+
1025
+ 257
1026
+ 00:29:58,220 --> 00:30:05,300
1027
+ ู…ุดุชู‚ุฉ EOS ู†ุงู‚ุต 2T ุงู„ู„ูŠ ู‡ูŠ ู†ุงู‚ุต 2 EOS ู†ุงู‚ุต 2T ูŠุจู‚ู‰
1028
+
1029
+ 258
1030
+ 00:30:05,300 --> 00:30:16,820
1031
+ ู†ุงู‚ุต 2 ููŠ C1 ุฒุงุฏ C2T ููŠ EOS ู†ุงู‚ุต 2Tู‡ูŠ ุฌูŠุจู†ุง ุงู„ุฏุงู„ุฉ
1032
+
1033
+ 259
1034
+ 00:30:16,820 --> 00:30:22,060
1035
+ ูˆู…ุดุชู‚ุชู‡ุง ุงู„ุงู† ุจุฏู†ุง ู†ุฑูˆุญ ู„ู„ initial condition ุงู„ู„ูŠ
1036
+
1037
+ 260
1038
+ 00:30:22,060 --> 00:30:27,800
1039
+ ู‚ุงู„ ุงู„ Y ุนู†ุฏ ุงู„ุณู„ุจ ูˆุงุญุฏ ูŠุณุงูˆูŠ ุงุชู†ูŠู† Y ุนู†ุฏ ุงู„ุณู„ุจ
1040
+
1041
+ 261
1042
+ 00:30:27,800 --> 00:30:33,580
1043
+ ูˆุงุญุฏ ุจุฏ ูŠุณุงูˆูŠ ุงุชู†ูŠู† implies ูŠุจู‚ู‰ ุจุฏ ุงุดูŠู„ ุงู„ Y ูˆ
1044
+
1045
+ 262
1046
+ 00:30:33,580 --> 00:30:35,220
1047
+ ุงูƒุชุจ ู…ูƒุงู†ู‡ุง ุฌุฏุงุด
1048
+
1049
+ 263
1050
+ 00:30:40,460 --> 00:30:54,300
1051
+ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ C1-C2 ูŠุจู‚ู‰ ู‡ู†ุง C1-C2 ูƒู„ู‡ุง ููŠ A ูˆุณู„ุจ 2
1052
+
1053
+ 264
1054
+ 00:30:54,300 --> 00:31:00,600
1055
+ ููŠ ุณู„ุจ 1 ูŠุนู†ูŠ ุจูŠุตูŠุฑ E ุชุฑุจูŠุฉ ูู‚ุท ู„ุง ุบูŠุฑ ูŠุจู‚ู‰ ุจE
1056
+
1057
+ 265
1058
+ 00:31:00,600 --> 00:31:06,600
1059
+ ุชุฑุจูŠุฉุฃูŠุด ุฑุงูŠูƒ ุงู†ุง ู…ุฏูŠุด ุงู„ E ุชุฑุจูŠู‡ ุนุงุฏูŠ ุจุฏูŠ ุงุถุบุท ููŠ
1060
+
1061
+ 266
1062
+ 00:31:06,600 --> 00:31:10,900
1063
+ U ุณุงู„ุจ ุงุชู†ูŠู† ู…ุดุงู† ุงุฎู„ูŠ ุงู„ูƒูˆู†ูˆุณุชุงู†ุณ ู„ุญุงู„ู‡ู… ูŠุจู‚ู‰
1064
+
1065
+ 267
1066
+ 00:31:10,900 --> 00:31:16,680
1067
+ ุจู†ุงุก ุนู„ูŠู‡ ุจูŠุตูŠุฑ ุนู†ุฏ ู‡ู†ุง C ูˆุงุญุฏ ู†ุงู‚ุต C ุงุชู†ูŠู† ูŠุณุงูˆูŠ
1068
+
1069
+ 268
1070
+ 00:31:16,680 --> 00:31:22,650
1071
+ ุงุชู†ูŠู† U ุณุงู„ุจ ุงุชู†ูŠู†ุงู„ุงู† ุจุฏุงุฌูŠ ู„ู„ initial condition
1072
+
1073
+ 269
1074
+ 00:31:22,650 --> 00:31:27,170
1075
+ ุงู„ุซุงู†ูŠ ุงู„ y prime ุนู†ุฏ ุงู„ุณู„ุจ ูˆุงุญุฏ ุจุฏู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ
1076
+
1077
+ 270
1078
+ 00:31:27,170 --> 00:31:33,150
1079
+ ุงุฐุง ุจุฏุงุฌูŠ ุงุดูŠู„ ุงู„ู…ุดุชู‚ุฉ ุงู„ุงูˆู„ู‰ ูˆ ุงูƒุชุจ ู„ู‡ุง ู‚ุฏุงุด ูˆุงุญุฏ
1080
+
1081
+ 271
1082
+ 00:31:33,150 --> 00:31:39,190
1083
+ ูˆ ุงุดูŠู„ ูƒู„ T ูˆ ุงุญุท ู…ูƒุงู†ู‡ุง ุณุงู„ุจ ูˆุงุญุฏ ูŠุจู‚ู‰ ู‡ุงูŠ ูˆุงุญุฏ
1084
+
1085
+ 272
1086
+ 00:31:39,190 --> 00:31:46,250
1087
+ ูŠุณุงูˆูŠ C2 ู‡ุงูŠ C2 ููŠ E ุชุฑุจูŠุน
1088
+
1089
+ 273
1090
+ 00:31:50,790 --> 00:31:56,490
1091
+ ูˆุตู„ู†ุง ู„-2C1
1092
+
1093
+ 274
1094
+ 00:31:56,490 --> 00:31:59,530
1095
+ -C2
1096
+
1097
+ 275
1098
+ 00:32:07,240 --> 00:32:13,040
1099
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ูŠุง ุจู†ุงุช ุจุตูŠุฑ ูˆุงุญุฏ ูŠุณูˆูŠ C2 E ุชุฑุจูŠุฉ ู†ู‚ุต
1100
+
1101
+ 276
1102
+ 00:32:13,040 --> 00:32:22,100
1103
+ ุงุชู†๏ฟฝ๏ฟฝู† C1 E ุชุฑุจูŠุฉ ุฒุงุฆุฏ ุงุชู†ูŠู† C2 E ุชุฑุจูŠุฉูŠุนู†ูŠ ุตุงุฑุช
1104
+
1105
+ 277
1106
+ 00:32:22,100 --> 00:32:32,960
1107
+ ูˆุงุญุฏ ูŠุณุงูˆูŠ ุชู„ุงุชุฉ C ุงุชู†ูŠู† ุงูˆ ุชู„ุงุชุฉ C ุงุชู†ูŠู† ู…ู‚ุต
1108
+
1109
+ 278
1110
+ 00:32:32,960 --> 00:32:39,620
1111
+ ุงุชู†ูŠู† C ูˆุงุญุฏ ูƒู„ู‡ ููŠ ุงู„ E ุชุฑุจูŠุฉ ูŠุนู†ูŠ ุตุงุฑ ุนู†ุฏู†ุง ู…ูŠู†ุŸ
1112
+
1113
+ 279
1114
+ 00:32:39,620 --> 00:32:46,960
1115
+ ุตุงุฑ ุนู†ุฏู†ุง ุชู„ุงุชุฉ C ุงุชู†ูŠู† ู…ู‚ุต ุงุชู†ูŠู† C ูˆุงุญุฏ ูƒู„ู‡ ุจุฏู‡
1116
+
1117
+ 280
1118
+ 00:32:46,960 --> 00:32:54,750
1119
+ ูŠุณุงูˆูŠ E ุณุงู„ุจ ุงุชู†ูŠู†ุชู…ุงู… ุดูˆ ุฑุงูŠูƒ ู„ูˆ ุฌูŠุช ุถุฑุจุช
1120
+
1121
+ 281
1122
+ 00:32:54,750 --> 00:33:00,610
1123
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ูู‰ ุงุชู†ูŠู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ูู‰ ุงุชู†ูŠู†
1124
+
1125
+ 282
1126
+ 00:33:00,610 --> 00:33:05,610
1127
+ ุงู„ู„ู‰ ููˆู‚ ู‡ุฐู‡ ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุฏู‡ ุถุฑุจู‡ุง ูู‰ ุงุชู†ูŠู† ู„ูˆ ุถุฑุจุชู‡ุง
1128
+
1129
+ 283
1130
+ 00:33:05,610 --> 00:33:12,090
1131
+ ูู‰ ุงุชู†ูŠู† ุจุตูŠุฑ ุนู†ุฏ ู…ูŠู† ุจุตูŠุฑ ุณุงู„ุจ ุงุชู†ูŠู† ุณูŠ ุงุชู†ูŠู†
1132
+
1133
+ 284
1134
+ 00:33:12,090 --> 00:33:18,810
1135
+ ุฒุงุฆุฏ ุงุชู†ูŠู† ุณูŠ ูˆุงุญุฏ ุจุฏู‡ ูŠุณุงูˆูŠ ุงุฑุจุน ุงูˆ ุงุซู†ุงู† ุงู‚ุต
1136
+
1137
+ 285
1138
+ 00:33:18,810 --> 00:33:24,330
1139
+ ุงุชู†ูŠู†ุถุฑุจุช ุงู„ู…ุนุงุฏู„ุฉ ููˆู‚ ูƒู„ู‡ ููŠ ุงุชู†ูŠู† ุทูŠุจ ู†ุฌู…ุน ุจุตูŠุฑ
1140
+
1141
+ 286
1142
+ 00:33:24,330 --> 00:33:32,030
1143
+ ู‡ุฏูˆู„ ู…ุน ุงู„ุณู„ุงู…ุฉ ุจุถู„ ุงู†ุง ุฌุฏุงุด ูŠุง ุจู†ุงุช ุจุถู„ C2 ูŠุณุงูˆูŠ
1144
+
1145
+ 287
1146
+ 00:33:32,030 --> 00:33:39,620
1147
+ ุฎู…ุณุฉ E ู†ุงู‚ุต ุงุชู†ูŠู†ุจุฏูŠ C1 ุจุฑุฌุน ุงุนูˆุจ ููŠ ุงู„ู…ุนุงุฏู„ ุงู„ู„ูŠ
1148
+
1149
+ 288
1150
+ 00:33:39,620 --> 00:33:51,120
1151
+ ููˆู‚ ู‡ุฐุง ุจุฏูŠ ูŠุนุทูŠู„ูƒ ุงู†ู‡ C1-5EOS-2 ูŠุณุงูˆูŠ 2 EOS-2 ู‡ุฐุง
1152
+
1153
+ 289
1154
+ 00:33:51,120 --> 00:34:00,500
1155
+ ุจุฏูŠ ูŠุนุทูŠู„ูƒ ุงู†ู‡ C1 ูŠุณุงูˆูŠ 7 EOS-2 ุฌุจุชู„ู‡ C1 ูˆ C2 ุงุฐุง
1156
+
1157
+ 290
1158
+ 00:34:00,500 --> 00:34:06,040
1159
+ ุจุฌูŠุจ ุงู‚ูˆู„ ู„ู‡ solution of
1160
+
1161
+ 291
1162
+ 00:34:12,250 --> 00:34:22,040
1163
+ ูŠุจู‚ู‰ ู‡ุงูŠ Y ุชุณุงูˆูŠุฌุงู„ูŠ C1 ูŠุจู‚ู‰ C1 ูˆูŠู†ูƒ ูŠุง C1 ุงู„ู„ูŠ ู‡ูŠ
1164
+
1165
+ 292
1166
+ 00:34:22,040 --> 00:34:31,320
1167
+ ุณุจุนุฉ E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† C1 ุณุจุนุฉ E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† ูˆC2
1168
+
1169
+ 293
1170
+ 00:34:31,320 --> 00:34:40,700
1171
+ ุงู„ู„ูŠ ู‡ูŠ ุจุฒุงูŠุฏ ุฎู…ุณุฉ E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† ููŠ T ูƒู„ู‡ ููŠ
1172
+
1173
+ 294
1174
+ 00:34:40,700 --> 00:34:48,750
1175
+ ุฌุฏุงุด ููŠ E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† TุดุฑุงูŠูƒ ุจุฏูŠ ุงุทู„ู„ูŠ ุงูˆุณ ู†ุงู‚ุต
1176
+
1177
+ 295
1178
+ 00:34:48,750 --> 00:34:54,990
1179
+ ุงุชู†ูŠู† ุจุฑุง ูŠุจู‚ู‰ ู„ูˆ ุทู„ุนู†ุงู‡ุง ุจุฑุง ุจุตูŠุฑ ุงู„ุญู„ Y ูŠุณุงูˆูŠ
1180
+
1181
+ 296
1182
+ 00:34:54,990 --> 00:35:05,090
1183
+ ุณุจุนุฉ ุฒุงุฆุฏ ุฎู…ุณุฉ T ููŠ A ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† T ู†ุงู‚ุต ุงุชู†ูŠู†
1184
+
1185
+ 297
1186
+ 00:35:05,090 --> 00:35:08,370
1187
+ ุงูˆ ุงู† ุดุฆุชู… ุชุญุทูˆู‡ุง ุจุดูƒู„ ุงุฎุฑ
1188
+
1189
+ 298
1190
+ 00:35:27,380 --> 00:35:34,560
1191
+ ุฃู…ุง ู…ุง ุทู„ุจุชู‡ ุนู† ุฃุฑู‚ุงู… ุงู„ู…ุณุงุฆู„ ูููŠ ู†ู‡ุงูŠุฉ ู‡ุฐุง
1192
+
1193
+ 299
1194
+ 00:35:34,560 --> 00:35:38,520
1195
+ sectionุจุนุฏ ู…ุง ู†ุงุฎุฏ ุงู„ู†ู‚ุทุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
1196
+
1197
+ 300
1198
+ 00:35:38,520 --> 00:35:45,740
1199
+ reduction of order ุญุฏ ููŠูƒู† ุงูŠ ุณุคุงู„ ููŠู…ุง ุณุจู‚ุช
1200
+
1201
+ 301
1202
+ 00:35:45,740 --> 00:35:51,480
1203
+ ุฏุฑุงุณุชู‡ ุญูˆู„ ุงู„ repeated roots ูŠุง ุงุจู†ู‡ุงุŸ ุงูŠ ุชุณุงุคู„
1204
+
1205
+ 302
1206
+ 00:35:51,480 --> 00:35:55,360
1207
+ ุงุญู†ุง ุฌุงู‡ุฒูŠู†ุŸ
1208
+
1209
+ 303
1210
+ 00:35:55,360 --> 00:36:02,480
1211
+ ููŠ
1212
+
1213
+ 304
1214
+ 00:36:02,480 --> 00:36:09,740
1215
+ ุงูŠ ุชุณุงุคู„ุŸุทุจ ู†ุฌูŠ ู„ุทุฑูŠู‚ุฉ ุฌุฏูŠุฏุฉ ุงุณู…ู‡ุง reduction of
1216
+
1217
+ 305
1218
+ 00:36:09,740 --> 00:36:24,780
1219
+ order reduction of order reduction
1220
+
1221
+ 306
1222
+ 00:36:24,780 --> 00:36:30,200
1223
+ of order ูŠุนู†ูŠ ุงุฎุชุฒุงุฉ ู„ู„ุฑุชุจุฉุจุฏู„ ู…ู† ุงู„ุฑุชุจุฉ ุชุจู‚ู‰ ุฑุชุจุฉ
1224
+
1225
+ 307
1226
+ 00:36:30,200 --> 00:36:35,320
1227
+ ุซุงู†ูŠุฉ ู†ุฒู„ู‡ุง ู„ู…ู†ุŸ ู„ุฑุชุจุฉ ุฃูˆู„ู‰ุŒ ู‡ุฐู‡ ุจู†ุณุชุฎุฏู…ู‡ุง ูˆุงุฌุชุด
1228
+
1229
+ 308
1230
+ 00:36:35,320 --> 00:36:41,620
1231
+ ุฅุฐุง ุฃุนุทุงู†ูŠ ุฃุญุฏ ุงู„ุญู„ูˆู„ ูˆุทู„ุจ ู…ู†ุŸ ูˆุทู„ุจ ุงู„ุญู„ ุงู„ุซุงู†ูŠ
1232
+
1233
+ 309
1234
+ 00:36:41,620 --> 00:36:47,550
1235
+ ุทุจุนุง ุงู„ุณุคุงู„ ุนู† ู…ุนุงุฏู„ุฉ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉุณูˆุงุก ูƒุงู†ุช
1236
+
1237
+ 310
1238
+ 00:36:47,550 --> 00:36:51,290
1239
+ ุงู„ differential equation ุจู…ุนุงู…ู„ุงุช ุซุงุจุชุฉ ุงูˆ ุจุบูŠุฑ
1240
+
1241
+ 311
1242
+ 00:36:51,290 --> 00:36:56,130
1243
+ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ุซุงุจุชุฉ ุจู†ูุนู„ ุงู„ุดูƒุชูŠู† ุจุณ in general ุงู†
1244
+
1245
+ 312
1246
+ 00:36:56,130 --> 00:37:03,030
1247
+ ู†ุทุงู„ูŠ ุงุญุฏ ุงู„ุญู„ูˆู„ ุจุญุท ุงู„ู…ุนุงู…ู„ุงุช functions ูˆู„ูŠุณุช
1248
+
1249
+ 313
1250
+ 00:37:03,030 --> 00:37:08,090
1251
+ constants ุชู…ุงู… ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‚ูˆู„ู‡ ุดุงู ุนู…ูŠู‡ ู‡ุฑูˆุญ ู†ุญุทู‡
1252
+
1253
+ 314
1254
+ 00:37:08,090 --> 00:37:15,970
1255
+ ุนู…ู„ู‡ ุงู„ุขู† ุงู† ุดุงุก ุงู„ู„ู‡ ูู†ุฌูŠุจ ู†ู‚ูˆู„ considerconsider
1256
+
1257
+ 315
1258
+ 00:37:15,970 --> 00:37:24,650
1259
+ the homogeneous differential
1260
+
1261
+ 316
1262
+ 00:37:24,650 --> 00:37:34,290
1263
+ equation ุงู„ู…ุนุงุฏู„ุฉ ุชูุงุถู„ูŠุง ุงู„ู„ูŠ ู‡ูŠ Y W prime P of T
1264
+
1265
+ 317
1266
+ 00:37:34,290 --> 00:37:41,270
1267
+ ููŠ Y prime Q of T ููŠ Y ุจุฏู‡ ูŠุณูˆู‰ Zero ูˆุณู…ูŠู„ูŠ ู‡ุฐู‡
1268
+
1269
+ 318
1270
+ 00:37:41,270 --> 00:37:43,070
1271
+ ุงู„ู…ุนุงุฏู„ุฉ Star
1272
+
1273
+ 319
1274
+ 00:37:48,790 --> 00:37:59,770
1275
+ ู†ูุชุฑุถ ุฃู† ุงู„ู€ Y1 ู‡ูŠ ุญู„ูˆู„
1276
+
1277
+ 320
1278
+ 00:37:59,770 --> 00:38:11,050
1279
+ ุชุจุฏุฃ ู…ู† ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ุงุฎุชุตุงุฑูŠุฉ ุงู„ู…ุณุคุงู„
1280
+
1281
+ 321
1282
+ 00:38:11,050 --> 00:38:11,870
1283
+ ู‡ูˆ
1284
+
1285
+ 322
1286
+ 00:38:15,890 --> 00:38:22,390
1287
+ ุงู„ุณุคุงู„ ู‡ูˆ can
1288
+
1289
+ 323
1290
+ 00:38:22,390 --> 00:38:30,050
1291
+ we determine ู‡ู„
1292
+
1293
+ 324
1294
+ 00:38:30,050 --> 00:38:35,570
1295
+ ุจู†ู‚ุฏุฑ ู†ุญุฏุฏ a function
1296
+
1297
+ 325
1298
+ 00:38:37,100 --> 00:38:45,940
1299
+ v of t such that ุจุญูŠุซ ุงู† can have function v of t
1300
+
1301
+ 326
1302
+ 00:38:45,940 --> 00:38:56,320
1303
+ such that ุงู„ y ูŠุณุงูˆูŠ ุงู„ v of t ููŠ y one of t is
1304
+
1305
+ 327
1306
+ 00:38:56,320 --> 00:39:01,020
1307
+ another solution
1308
+
1309
+ 328
1310
+ 00:39:03,530 --> 00:39:14,950
1311
+ is another solution of equation ุฃุณุชุง ุงู„ู…ู…ูƒู† the
1312
+
1313
+ 329
1314
+ 00:39:14,950 --> 00:39:19,310
1315
+ answer is
1316
+
1317
+ 330
1318
+ 00:39:19,310 --> 00:39:30,630
1319
+ yes ูƒูŠูุŸ as follows ูƒุชุงู„ุฉ ู„ุนู„ูƒูˆุง
1320
+
1321
+ 331
1322
+ 00:39:30,630 --> 00:39:36,120
1323
+ ุงู„ุขู†ู…ู† ุฎู„ุงู„ ู‡ุงู„ุณุทุฑูŠู† ุงู„ู„ูŠ ูƒุชุจู†ุงู‡ู… ุงุฏุฑูƒุชู… ู…ุฏู‰
1324
+
1325
+ 332
1326
+ 00:39:36,120 --> 00:39:41,160
1327
+ ุงู„ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ู…ูˆุถูˆุน ุงู„ reduction of order ู…ุน ู…ูŠู†ุŸ
1328
+
1329
+ 333
1330
+ 00:39:41,160 --> 00:39:45,920
1331
+ ู…ุน ุงู„ repeated roots ู†ุฑุฌุน ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุงุญู†ุง ูƒุงุชุจูŠู†ู‡
1332
+
1333
+ 334
1334
+ 00:39:45,920 --> 00:39:51,300
1335
+ ู…ู† ุฌุฏูŠุฏ ู†ูู‡ู… ุดูˆ ุงู„ู„ูŠ ุงุญู†ุง ูƒุงุชุจูŠู†ู‡ ูˆู…ุง ุนู„ุงู‚ุชู‡ ุจุงู„
1336
+
1337
+ 335
1338
+ 00:39:51,300 --> 00:39:55,980
1339
+ repeated roots ุงู„ู„ุชูŠ ุฏุฑุณู†ุงู‡ุง ู‚ุจู„ ู‚ู„ูŠู„
1340
+
1341
+ 336
1342
+ 00:40:03,220 --> 00:40:07,840
1343
+ ูŠุจู‚ู‰ ู…ูˆุถูˆุนู†ุง ุงู„ุขู† ู„ุฏุฑุงุณุฉ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠ ูŠุณุชุงุฑู„
1344
+
1345
+ 337
1346
+ 00:40:07,840 --> 00:40:12,300
1347
+ ู‡ูˆ ู…ูˆุถูˆุน reduction of order ุงุฎุชุฒุงู„ ุงู„ุฑุชุจุฉ ุงูˆ ุชู†ุฒูŠู„
1348
+
1349
+ 338
1350
+ 00:40:12,300 --> 00:40:16,260
1351
+ ุงู„ุฑุชุจุฉ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู‰ ุงู„ุฑุชุจุฉ ุงู„ุงูˆู„ู‰ ู‡ุฐู‡
1352
+
1353
+ 339
1354
+ 00:40:16,260 --> 00:40:20,660
1355
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠ ุงู„ู„ู‰ ุนู†ุฏู†ุง ู„ู… ู†ุดุชุฑุท ุงู† P ูˆ Q
1356
+
1357
+ 340
1358
+ 00:40:20,660 --> 00:40:25,080
1359
+ ูŠูƒูˆู†ูˆุง constants ู„ูƒู† ููŠ section ุชู„ุงุชุฉ ูˆุงุญุฏ ุชู„ุงุชุฉ
1360
+
1361
+ 341
1362
+ 00:40:25,080 --> 00:40:29,500
1363
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุชู„ุงุชุฉ ุฎู…ุณุฉ ุญุชู‰
1364
+
1365
+ 342
1366
+ 00:40:29,500 --> 00:40:34,000
1367
+ ุงู„ู„ุญุธุฉ ู‡ุฐู‡ ุงุดุชุฑุท ุงู† ูŠูƒูˆู† ู…ุงู„ู‡ู…ุงู„ู€ coefficients are
1368
+
1369
+ 343
1370
+ 00:40:34,000 --> 00:40:38,660
1371
+ realุŒ ุงู„ู…ุนุงู…ู„ุงุช ุซูˆุงุจุช ูˆู„ูŠุณุช continuous functionsุŒ
1372
+
1373
+ 344
1374
+ 00:40:38,660 --> 00:40:42,620
1375
+ ู…ุงู‡ูŠุงุด ุฏูˆุงู„ ู…ุถุทุฑ ูˆุงู†ู…ุง ุฏูˆุงู„ ูƒุงุจุชู† ูƒู„ู‡ ุซูˆุงุจุชุŒ ุงู„ู€A
1376
+
1377
+ 345
1378
+ 00:40:42,620 --> 00:40:46,000
1379
+ constantุŒ ุงู„ู€B constant ูˆุงู„ู€C constantุŒ ู„ูƒู†ู†ุง ู„ู…ุง
1380
+
1381
+ 346
1382
+ 00:40:46,000 --> 00:40:51,340
1383
+ ุฃุดุชุฑุท ู„ู„ู€P ูˆ ู„ู„ู€Qู„ูƒู† ู‡ุฐุง ุจุชุนุชู…ุฏ ุงู† ู‡ูˆ ุจูŠุนุทูŠู†ูŠ ุญู„
1384
+
1385
+ 347
1386
+ 00:40:51,340 --> 00:40:55,680
1387
+ ูˆุงู†ุง ุจุฑูˆุญ ุจุฏูˆุฑ ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุงู„ุญู„ ุงู„ุซุงู†ูŠ ู„ู‡ุฐู‡
1388
+
1389
+ 348
1390
+ 00:40:55,680 --> 00:41:00,480
1391
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุจู‚ูˆู„ ุงูุชุฑุถ ุงู† ู‡ูˆ ุงูŠ ูˆุงุญุฏ ู‡ูˆ ุญู„
1392
+
1393
+ 349
1394
+ 00:41:00,480 --> 00:41:04,780
1395
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุงู„ู„ู‰ ุนู†ุฏู†ุง star ุงู„ุณุคุงู„ ู‡ูˆ the
1396
+
1397
+ 350
1398
+ 00:41:04,780 --> 00:41:10,500
1399
+ question is can we determineุจู†ู‚ุฏุฑ ู†ุญุฏุฏ ุฏุงู„ุฉ V of T
1400
+
1401
+ 351
1402
+ 00:41:10,500 --> 00:41:15,540
1403
+ ุจุญูŠุซ Y ุชุณุงูˆูŠ V of T ููŠ Y ูˆุงุญุฏ of T is another
1404
+
1405
+ 352
1406
+ 00:41:15,540 --> 00:41:21,560
1407
+ solution ุญู„ ุฃุฎุฑ ู„ู„ู…ุนุงุฏู„ุฉ star ุงู„ุฅุฌุงุจุฉ ู†ุนู… ูƒูŠู
1408
+
1409
+ 353
1410
+ 00:41:21,560 --> 00:41:25,250
1411
+ ูƒุงู„ุชุงู„ูŠูŠุจู‚ู‰ ูŠุง ุจู†ุงุชูŠ ุงุญู†ุง ุงู„ุดุบู„ ุงู„ู„ู‰ ุจู†ุดุชุบู„ู‡ ุงู„ุงู†
1412
+
1413
+ 354
1414
+ 00:41:25,250 --> 00:41:29,930
1415
+ ู‡ูˆ ู†ูุณ ุงู„ุดุบู„ ุงู„ู„ู‰ ุงุดุชุบู„ู†ุงู‡ ุชูˆ ุงู„ุณุงุนุฉ ููŠ ุญุงู„ุฉ
1416
+
1417
+ 355
1418
+ 00:41:29,930 --> 00:41:35,290
1419
+ repeated roots ู…ุน ุงู„ูุงุฑู‚ ุดูˆ ุงู„ูุงุฑู‚ุŸ ู‡ู†ุงูƒ ุทู„ุนุช R1
1420
+
1421
+ 356
1422
+ 00:41:35,290 --> 00:41:39,890
1423
+ ู…ุนุฑูˆูุฉ ู„ูŠู‡ ู†ุงู‚ุต B ุนู„ู‰ 8A ูˆุงุดุชุบู„ู†ุง ุนู„ูŠู‡ุงุŒ ู‡ู†ุง ุฃู†ุง
1424
+
1425
+ 357
1426
+ 00:41:39,890 --> 00:41:44,770
1427
+ ู…ุด ุนุงุฑูู‡ุงุŒ ุฎู„ูŠุชู‡ุง ุจุฏู„ู„ุฉ ู…ูŠู†ุŸ Y1ุŒ ุฌุฏ ู…ุง ูŠุทู„ุน ูŠุทู„ุน
1428
+
1429
+ 358
1430
+ 00:41:44,770 --> 00:41:48,850
1431
+ ุฃูˆ ุงูŠุด ู…ุง ูŠุทู„ุน ูŠุทู„ุนุฃูˆ ุงูŠุด ู…ูŠุนุทูŠู†ูŠู‡ุง ุฎู„ุงุต ู‡ูˆ
1432
+
1433
+ 359
1434
+ 00:41:48,850 --> 00:41:52,670
1435
+ ู…ูŠุนุทูŠู†ูŠู‡ุง ุจุฏุฃ ุงุณุชุฎุฏู… ูˆุงู…ุดูŠ ู…ุด ูŠุนู†ูŠ E ูˆุต ู†ุงู‚ุต P ุนู„ู‰
1436
+
1437
+ 360
1438
+ 00:41:52,670 --> 00:41:57,090
1439
+ ุงุชู†ูŠู† A ููŠ T ุฒูŠ ู…ุง ุทู„ุน ู‚ุจู„ ู‚ู„ูŠู„ ู„ุง ู„ูŠุณ ุจุงู„ุถุฑูˆุฑุฉ
1440
+
1441
+ 361
1442
+ 00:41:58,880 --> 00:42:02,760
1443
+ ูŠุจู‚ู‰ ุงู„ู„ูŠ ุทู„ุน ู‚ุจู„ ู‚ู„ูŠู„ ูƒุงู† ุญู„ู‚ุฉ ุฎุงุตุฉ ู„ุฃู† ุงู„ู…ุนุงู…ู„ุงุช
1444
+
1445
+ 362
1446
+ 00:42:02,760 --> 00:42:06,900
1447
+ ุซูˆุงุจุช ุจุณ ู‡ู†ุง ุงู„ู…ุนุงู…ู„ุงุช ู„ู… ู†ุดุชุฑุท ุงู†ู‡ุง ุซูˆุงุจุช ุงูŠ
1448
+
1449
+ 363
1450
+ 00:42:06,900 --> 00:42:12,420
1451
+ continuous functions ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุงูุชุฑุงุถู‡ุง ุงู† ุงู„ุญู„
1452
+
1453
+ 364
1454
+ 00:42:12,420 --> 00:42:19,130
1455
+ ุงู„ุซุงู†ูŠ ุนู„ู‰ ุงู„ุดูƒู„ ู‡ูˆ I ูŠุณูˆู‰ VOT ููŠ Y1ุจุฏูŠ ุฃุนุฑู ู…ุง ู‡ูˆ
1456
+
1457
+ 365
1458
+ 00:42:19,130 --> 00:42:25,690
1459
+ ุดูƒู„ ุงู„ V of T ูˆุงู„ู„ูŠ ุจูŠุฎู„ูŠู‡ ู„ู„ V ููŠ Y1 ู‡ูˆ ุนุจุงุฑุฉ ุนู†
1460
+
1461
+ 366
1462
+ 00:42:25,690 --> 00:42:31,390
1463
+ ุญู„ ุขุฎุฑ ู„ู…ูŠู† ู„ู„ู…ุนุงุฏู„ุฉ ุฃุณุชุฑ ุฅุฐุง ุงู„ุชูƒุชูŠูƒ ุงู„ู„ูŠ ุงุชุจุนุชู‡
1464
+
1465
+ 367
1466
+ 00:42:31,390 --> 00:42:36,100
1467
+ ู‚ุจู„ ู‚ู„ูŠู„ ุจูŠุชุจุนู‡ ู‡ู†ุง ูŠุจู‚ู‰ ุงู„ุขู† ุจุฑูˆุญ ุฃุฌูŠุจ ู…ูŠู†ุงู„ู„ูŠ ู‡ูˆ
1468
+
1469
+ 368
1470
+ 00:42:36,100 --> 00:42:40,300
1471
+ ุงู„ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงู„ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉ ูˆู†ุฑูˆุญ ู†ุนูˆุถ ูˆุงู† ููŠ
1472
+
1473
+ 369
1474
+ 00:42:40,300 --> 00:42:43,180
1475
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุตุบูŠุฑุฉ ูˆ ุจุนุฏู‡ุง ุงู„ู„ู‡ ุจูุฑุฌู‡ุง ุงู† ุดุงุก ุงู„ู„ู‡
1476
+
1477
+ 370
1478
+ 00:42:43,180 --> 00:42:50,200
1479
+ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ ุงุญู†ุง ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ Y ุชุณุงูˆูŠ V of
1480
+
1481
+ 371
1482
+ 00:42:50,200 --> 00:42:57,500
1483
+ T ููŠ Y1 of T ุจุฏู‡ ุงุดุชู‚ ุงู„ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ ูŠุจู‚ู‰ ุงู„ Y
1484
+
1485
+ 372
1486
+ 00:42:57,500 --> 00:43:06,140
1487
+ prime ุจุฏู‡ ูŠุณุงูˆูŠV of T ููŠ ุงู„ Y1 prime ุฒุงุฆุฏ V prime
1488
+
1489
+ 373
1490
+ 00:43:06,140 --> 00:43:10,840
1491
+ ููŠ ุงู„ Y1 ุจุฏู‘ูŠุด ุงูƒุชุจ ุงู„ T ู‡ุฐู‡ ุฎู„ุงุต ู…ูู‡ูˆู…ุฉ ูƒู„ ูˆุงุญุฏุฉ
1492
+
1493
+ 374
1494
+ 00:43:10,840 --> 00:43:16,300
1495
+ ููŠู‡ู… function ููŠ T ุจุณ ู„ู„ุณู‡ูˆู„ุฉ ูŠุนู†ูŠ ู…ุด ู‡ู†ุฎู„ูŠุด ุงู„ู‚ู„ู‚
1496
+
1497
+ 375
1498
+ 00:43:16,300 --> 00:43:21,760
1499
+ ุน ุงู„ูƒุชูŠุฑ ูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰ ุจุฏู†ุง ู†ุฌูŠุจ ุงู„ู…ุดุชู‚ุฉ
1500
+
1501
+ 376
1502
+ 00:43:21,760 --> 00:43:26,600
1503
+ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ Y double prime ูŠุจู‚ู‰ ุฏูŠ ู…ุดุชู‚ุฉ ุญุงุตู„
1504
+
1505
+ 377
1506
+ 00:43:26,600 --> 00:43:36,070
1507
+ ุถุฑุจุฏุงู„ุชูŠู† ูŠุจู‚ู‰ v ููŠ ุงู„ y1 w prime ุฒุงุฆุฏ v prime y1
1508
+
1509
+ 378
1510
+ 00:43:36,070 --> 00:43:43,110
1511
+ prime ู‡ูŠุดุชู‚ู† ุงู„ุงุชู†ูŠู† ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ุฒุงุฆุฏ v prime
1512
+
1513
+ 379
1514
+ 00:43:43,110 --> 00:43:53,290
1515
+ y1 prime ุฒุงุฆุฏ v w prime y1 ุชุทู„ุนูŠู„ูŠ ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุฒูŠ
1516
+
1517
+ 380
1518
+ 00:43:53,290 --> 00:43:59,140
1519
+ ุจุนุถูŠุจู‚ู‰ ุงุชู†ูŠู† ูˆุงุญุฏุฉ ููŠู‡ู… ูŠุจู‚ู‰ ุจุตูŠุฑ ุงู† ู‡ุฐุง main
1520
+
1521
+ 381
1522
+ 00:43:59,140 --> 00:44:05,600
1523
+ ุงู„ู„ูŠ ู‡ูˆ v ููŠ ุงู„ y1 double prime ุฒุงุฆุฏ ุงุชู†ูŠู† v prime
1524
+
1525
+ 382
1526
+ 00:44:05,600 --> 00:44:12,700
1527
+ y1 prime ุฒุงุฆุฏ v double prime y1ุฌุจู†ุง ุงู„ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰
1528
+
1529
+ 383
1530
+ 00:44:12,700 --> 00:44:16,220
1531
+ ูˆ ุงู„ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉ ูˆ ู‡ูŠ ุงู„ุฏุงู„ุฉ ุจู‚ุฏุฑ ุฃุนูˆุถ ููŠ
1532
+
1533
+ 384
1534
+ 00:44:16,220 --> 00:44:26,280
1535
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุตู„ูŠุฉ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ substitute and the
1536
+
1537
+ 385
1538
+ 00:44:26,280 --> 00:44:36,360
1539
+ differential equation star we get ูˆ ู†ุญุตู„ ุนู„ู‰ ู…ูŠุงุชูŠ
1540
+
1541
+ 386
1542
+ 00:44:36,360 --> 00:44:42,080
1543
+ ุจุฏูŠ ุฃุดูŠู„ ูˆุงุฆุฏุฉ ุจุงู„ุฅู‚ุฑุงู… ูˆ ุฃุญุท ู‡ุฐู‡ ุจุฏุงู„ู‡ุงูŠู‚ูˆู„ุด ุจุตูŠุฑ
1544
+
1545
+ 387
1546
+ 00:44:42,080 --> 00:44:50,980
1547
+ v ููŠ ุงู„ y1 double prime ุฒุงุฆุฏ 2 v prime y1 prime
1548
+
1549
+ 388
1550
+ 00:44:50,980 --> 00:44:59,000
1551
+ ุฒุงุฆุฏ v double prime ููŠ ุงู„ y1 ุฎู„ุตู†ุง ู…ู†ู‡ุงุงู„ู€P ุจุฏูŠ
1552
+
1553
+ 389
1554
+ 00:44:59,000 --> 00:45:07,420
1555
+ ุฃุถุฑุจู‡ุง ููŠ ุงู„ู€Y' ุงู„ู€P of T ูŠุจู‚ู‰ ุฒุงุฆุฏ P ููŠ ุงู„ู€V ููŠ
1556
+
1557
+ 390
1558
+ 00:45:07,420 --> 00:45:16,000
1559
+ ุงู„ู€Y1' ุฒุงุฆุฏ P ููŠ ุงู„ู€V' ููŠ ุงู„ู€Y1 ูŠุจู‚ู‰ ุถุฑุจู†ุง P of T
1560
+
1561
+ 391
1562
+ 00:45:16,000 --> 00:45:22,900
1563
+ ููŠ ุงู„ู€Y' ูˆุถุฑุจู†ุงู‡ุง ู‡ู†ุงุงู„ู„ูŠ ุจุนุฏู‡ุง ุฒุงุฆุฏ ู„ Q ููŠ ุงู„ Y
1564
+
1565
+ 392
1566
+ 00:45:22,900 --> 00:45:30,480
1567
+ ู‡ูŠ ุงู„ Y ุจุฏู‡ ุงุถุฑุจู‡ุง ููŠ ุงู„ Q ูŠุจู‚ู‰ ุฒุงุฆุฏ ู„ Q ููŠ ู…ู†ุŸ ููŠ
1568
+
1569
+ 393
1570
+ 00:45:30,480 --> 00:45:39,760
1571
+ ุงู„ Y1 ู‡ุงุฏ ุงู„ Y ููŠ ู…ู†ุŸ ู„ Q ููŠ ุงู„ V V ููŠ ุงู„ Y1 ูƒู„
1572
+
1573
+ 394
1574
+ 00:45:39,760 --> 00:45:45,680
1575
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณู…ูŠ ูƒุฏู‡ุŸุทูŠุจ ุฅุฐุง ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุขู† ุจุนุฏ
1576
+
1577
+ 395
1578
+ 00:45:45,680 --> 00:45:48,420
1579
+ ู…ุง ุฑุฌุนู†ุง ุนูˆุถู†ุง ููŠ ุงู„ู…ุนุงุฏู„ุฉ star ุตุงุฑุช ุงู„ู…ุนุงุฏู„ุฉ
1580
+
1581
+ 396
1582
+ 00:45:48,420 --> 00:45:53,680
1583
+ ู„ุฃู†ู‡ุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุจูŠู† ุฅูŠุฏู†ุง ู‡ู†ุง ุทูŠุจ
1584
+
1585
+ 397
1586
+ 00:45:53,680 --> 00:46:01,260
1587
+ ุชุนุงู„ู‰ ู†ุดูˆู ุดูˆ ุนู†ุฏู†ุง ู‡ู†ุง ู‡ุฐู‡ ุฃุธู† ููŠู‡ุง V ูˆู‡ุฐู‡ ููŠู‡ุง V
1588
+
1589
+ 398
1590
+ 00:46:01,260 --> 00:46:08,460
1591
+ ูˆู‡ุฐู‡ ููŠู‡ุง V ุดุฑุงูƒุฉ ุฃุฎุฏ ู…ู†ู‡ุง V ุนุงู…ู„ ู…ุดุชุฑูƒูŠุจู‚ู‰ ู‡ุฐูŠ ู„ูˆ
1592
+
1593
+ 399
1594
+ 00:46:08,460 --> 00:46:18,620
1595
+ ุฃุฎุฏู†ุง V ุนุงู…ู„ ู…ุดุชุฑูƒ ูŠุตูŠุฑ Y1W' ุฒุงุฆุฏ P
1596
+
1597
+ 400
1598
+ 00:46:18,620 --> 00:46:30,800
1599
+ of T ููŠ Y1' ุฒุงุฆุฏ ู„ Q of T ููŠ Y1 ูˆู‡ูŠ ุงู„ V ุจุฑุง ุฎู„ุตู†ุง
1600
+
1601
+ 401
1602
+ 00:46:30,800 --> 00:46:36,440
1603
+ ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ ุจู‚ู‰ ู„ู†ุง ู…ูŠู†ุŸ ุจู‚ู‰ ู„ู„ุชู†ุชูŠู† ู‡ุฏูˆู„ู…ุธุจูˆุท
1604
+
1605
+ 402
1606
+ 00:46:36,440 --> 00:46:46,920
1607
+ ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงุชู†ูŠู† y one prime ููŠ ุงู„ v prime ุฒุงุฆุฏ y
1608
+
1609
+ 403
1610
+ 00:46:46,920 --> 00:46:52,740
1611
+ one ููŠ ุงู„ v double prime ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ
1612
+
1613
+ 404
1614
+ 00:46:52,740 --> 00:46:58,490
1615
+ ูƒุฏู‡ุŸ ุจุฏู‡ ูŠุณุงูˆูŠ zeroู…ุงุฐุง ุฑุฃูŠูƒ ููŠ ุงู„ู…ู‚ุฏุงุฑ ุจูŠู†
1616
+
1617
+ 405
1618
+ 00:46:58,490 --> 00:47:08,650
1619
+ ุงู„ู‚ูˆุณูŠู† ู‡ุฐุง ูŠุจู‚ู‰
1620
+
1621
+ 406
1622
+ 00:47:08,650 --> 00:47:19,230
1623
+ ู‡ุฐุง ุจุฒูŠุฑูˆ ูŠุจู‚ู‰
1624
+
1625
+ 407
1626
+ 00:47:19,230 --> 00:47:28,260
1627
+ ุงู„ู…ุนุงุฏู„ุฉ ุฃู„ุช ุฅู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠุงู„ู„ูŠ ู‡ูˆ Y1 VW prime
1628
+
1629
+ 408
1630
+ 00:47:28,260 --> 00:47:36,960
1631
+ ุฒุงุฆุฏ ุงุชู†ูŠู† Y1 prime ุฒุงุฆุฏ ุงุชู†ูŠู† Y1 ููŠ ุงู„ VW ุฒุงุฆุฏ
1632
+
1633
+ 409
1634
+ 00:47:36,960 --> 00:47:43,320
1635
+ ุงุชู†ูŠู† Y1 prime ููŠ ุงู„ V prime ุจุฏู‡ ูŠุณุงูˆูŠ Zero ุดูˆ
1636
+
1637
+ 410
1638
+ 00:47:43,320 --> 00:47:45,660
1639
+ ุฑุงูŠูƒ ู†ู‚ุณู… ุนู„ู‰ Y1
1640
+
1641
+ 411
1642
+ 00:47:50,220 --> 00:47:57,000
1643
+ ู„ุญุธุฉ ุดูˆูŠุฉ ุงุชุณู†ู‰ ุงุชุณู†ู‰ ุดูˆูŠุฉ ุถู„ุช ู‡ุฐู‡ ูˆ ุงู‡ ููŠ ุนู†ุฏู†ุง P
1644
+
1645
+ 412
1646
+ 00:47:57,000 --> 00:48:05,660
1647
+ ุงู‡ ุงุชู†ูŠู† ุงุชุณู†ู‰ ุงุชุณู†ู‰ ุดูˆูŠุฉ ู‡ุฐู‡ ุนู†ุฏู†ุง ู‡ู†ุง ู‡ุฐู‡ ูˆ ู‡ุฐู‡
1648
+
1649
+ 413
1650
+ 00:48:05,660 --> 00:48:10,560
1651
+ ูˆ ู‡ุฐู‡ ู…ุธุจูˆุทุฉ ู‡ุฐู‡ ู…ุงููŠู‡ุง ู…ุดูƒู„ุฉ ุถู„ ุนู†ุฏู†ุง term ุงู‡
1652
+
1653
+ 414
1654
+ 00:48:10,560 --> 00:48:15,340
1655
+ ุชู„ุงุช ุชูŠุฑู…ุงุช ุถุงูŠู„ ู…ุด ุชูŠุฑู…ูŠู† ุชู„ุงุช ุชูŠุฑู…ุงุช ุจู†ุตู„ุญู‡ุง
1656
+
1657
+ 415
1658
+ 00:48:15,340 --> 00:48:24,420
1659
+ ุจุณูŠุทุฉ ุฌุฏุงูŠุจู‚ู‰ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ
1660
+
1661
+ 416
1662
+ 00:48:24,420 --> 00:48:26,200
1663
+ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ
1664
+
1665
+ 417
1666
+ 00:48:26,200 --> 00:48:33,600
1667
+ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู†
1668
+
1669
+ 418
1670
+ 00:48:35,240 --> 00:48:46,240
1671
+ ุฒุงุฆุฏ ุงุชู†ูŠู† Y1 prime ุฒุงุฆุฏ PY1 ูƒู„ ู‡ุฐุง ููŠ ุงู„ V prime
1672
+
1673
+ 419
1674
+ 00:48:46,240 --> 00:48:56,560
1675
+ ู…ุธุจูˆุท ุฒุงุฆุฏ Y1 VW prime ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ
1676
+
1677
+ 420
1678
+ 00:48:56,560 --> 00:49:06,260
1679
+ ู…ูŠู†ุŸ ุจุฏู‡ ูŠุณุงูˆูŠ Zeroุงู„ุงู† ุจู‚ุฏุฑ ุงู‚ุณู… ูƒู„ู‡ ุนู„ู‰ Y1 ูŠุจู‚ู‰
1680
+
1681
+ 421
1682
+ 00:49:06,260 --> 00:49:15,600
1683
+ ู„ูˆ ู‚ุณู…ุช ุนู„ู‰ Y1 ุจูŠุตูŠุฑ ุงู„ู…ุนุงุฏู„ุฉ VW prime ุฒุงุฆุฏ ุงู„ู‡ู…ูŠู†
1684
+
1685
+ 422
1686
+ 00:49:15,600 --> 00:49:26,080
1687
+ ุงุชู†ูŠู† Y1 prime ุนู„ู‰ Y1 ุฒุงุฆุฏ P of T ูƒู„ู‡ ููŠ ุงู„ V
1688
+
1689
+ 423
1690
+ 00:49:26,080 --> 00:49:32,370
1691
+ prime ูŠุณูˆู‰ Zeroู…ุงุฐุง ุฑุงูŠูƒ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ุจูŠู†
1692
+
1693
+ 424
1694
+ 00:49:32,370 --> 00:49:40,530
1695
+ ุงุฏูŠู†ุง ููŠู‡ุง V ูŠุนู†ูŠ equation with V ู…ูู‚ูˆุฏุฉ V ู…ูู‚ูˆุฏุฉ
1696
+
1697
+ 425
1698
+ 00:49:40,530 --> 00:49:53,040
1699
+ ูŠุจู‚ู‰ ู‡ุฐู‡ equation with V ู…ูู‚ูˆุฏุฉูŠุจู‚ู‰ ู‡ุฐู‡ ู…ูู‚ูˆุฏุฉ ุฅุฐุง
1700
+
1701
+ 426
1702
+ 00:49:53,040 --> 00:50:00,580
1703
+ ุจู‚ุฏุฑ ุฃุดูŠู„ ุงู„ V' ูˆ ุฃุถุน ุจุฏู„ู‡ุง Z ู…ุซู„ุง ูŠุจู‚ู‰ pot ูˆ
1704
+
1705
+ 427
1706
+ 00:50:00,580 --> 00:50:09,880
1707
+ ุฃุถุนู†ุง Z ุชุณูˆู‰ V' ู‡ุฐุง ุจุฏูŠ ุฃุฎุจุฑูƒ ุฃู† Z' ูŠุณูˆู‰ VW' ู„ุฃู† V
1708
+
1709
+ 428
1710
+ 00:50:09,880 --> 00:50:16,680
1711
+ ุชุนุงุฏู„ Y ู‡ู†ุงูƒุจุตูŠุฑ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุงุฏูŠุฉ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ
1712
+
1713
+ 429
1714
+ 00:50:16,680 --> 00:50:27,400
1715
+ ุจุตูŠุฑ z prime ุฒุงุฏ 2y prime ุนู„ู‰ y1 2y prime ุนู„ู‰ y1
1716
+
1717
+ 430
1718
+ 00:50:33,090 --> 00:50:38,390
1719
+ ู†ุฒู„ู†ุง ุงู„ุฑุชุจุฉ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉ ุฅู„ู‰ ุงู„ุฑุชุจุฉ ุงู„ุฃูˆู„ู‰
1720
+
1721
+ 431
1722
+ 00:50:51,840 --> 00:51:01,920
1723
+ that can be solved as before ู†ู‚ุฏุฑ ู†ุญู„ู‡ุง ูƒู…ุง ูƒู†ุง
1724
+
1725
+ 432
1726
+ 00:51:01,920 --> 00:51:06,100
1727
+ ู†ุญู„ ู…ู† ู‚ุจู„ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู„ูŠ ุงุณู…ู‡ุง ุงู„ุทุฑูŠู‚ุฉ ูŠุง ุจู†ุงุช
1728
+
1729
+ 433
1730
+ 00:51:06,100 --> 00:51:11,620
1731
+ ุทุฑูŠู‚ุฉ ู…ูŠู† ุงู„ reduction of order ุนู†ุฏ ุญู„ ู‡ุฐู‡ ุงู„ุฃู†ูˆุงุน
1732
+
1733
+ 434
1734
+ 00:51:11,620 --> 00:51:15,620
1735
+ ู…ู† ุงู„ู…ุณุงุฆู„ ุจุฏู†ุง ู†ู…ุดูŠ ุจู†ูุณ ุงู„ุชูƒุชูŠูƒ ุงู„ู†ุธุฑูŠ ุงู„ู„ูŠ
1736
+
1737
+ 435
1738
+ 00:51:15,620 --> 00:51:21,320
1739
+ ู…ุดูŠู†ุง ููŠู‡ ู‡ู†ุง ู‚ุฏุงู…ู†ุง ุชู…ุงู…ุงูŠุจู‚ู‰ ุญุฏ ููŠ ูƒู„ ุงูŠ ุชุณุงูˆู„
1740
+
1741
+ 436
1742
+ 00:51:21,320 --> 00:51:25,860
1743
+ ู‡ู†ุง ู‡ู†ุจุฏุฃ ู†ุงุฎุฏ ุฃู…ุซู„ุฉ ุชูˆุถุญู‡ุง ุจุณ ู‚ูˆู„ูŠู„ูŠ ู‡ุง ููŠ ุชุณุงูˆู„
1744
+
1745
+ 437
1746
+ 00:51:25,860 --> 00:51:32,260
1747
+ ุนู„ู‰ ุงู„ูƒู„ุงู… ู‡ู†ุง ุงูˆ ููŠ ู†ู‚ุทุฉ ู…ุด ู…ูู‡ูˆู…ุฉ ูƒุฏู‡ ุทุจุนุง
1748
+
1749
+ 438
1750
+ 00:51:32,260 --> 00:51:36,080
1751
+ function ู†ูุณ ุงู„ุชูƒุชูŠูƒ ุงู„ู„ูŠ ูƒู†ุง ู…ุด ุฃุฎุฏู†ุง equation
1752
+
1753
+ 439
1754
+ 00:51:36,080 --> 00:51:40,740
1755
+ with y missing ูˆt missing is z ู‡ู†ุง ู…ูƒุงู† ุงู„ y ู‡ู†ุงูƒ
1756
+
1757
+ 440
1758
+ 00:51:40,740 --> 00:51:45,120
1759
+ ุจุงู„ุถุจุท ุชู…ุงู…ุง ู‡ุง ููŠ ุงูŠ ุชุณุงูˆู„ ุงุฎุฑ ุงูŠูˆุฉ
1760
+
1761
+ 441
1762
+ 00:51:48,470 --> 00:51:53,190
1763
+ ุงู„ู€ Q ู…ุชุบูŠุฑ ูˆุงู„ู€ P ู…ุชุบูŠุฑ ูˆุงุฎุฏู†ุงู‡ู… ุซุงุจุช ู…ุงุนู†ุงู‡
1764
+
1765
+ 442
1766
+ 00:51:53,190 --> 00:51:57,150
1767
+ ู…ุดูƒู„ุฉ ุงู„ู…ู‡ู… ูŠุนุทูŠู†ุง ุญู„ ูˆ ุงู„ุญู„ ุงู„ู„ูŠ ุจูŠุนุทูŠู†ุงู‡ ุณูˆุงุก
1768
+
1769
+ 443
1770
+ 00:51:57,150 --> 00:52:00,470
1771
+ ูƒุงู†ุช ุฏู‡ ุงูˆ ู„ุง ุจู…ุนุงู…ู„ุฉ ุงู„ู€ differential equation
1772
+
1773
+ 444
1774
+ 00:52:00,470 --> 00:52:03,370
1775
+ ุจู…ุนุงู…ู„ุงุช ุซุงุจุชุฉ ุงูˆ ู…ุง ู‡ูŠุด ู…ุนุงู…ู„ุฉ ุซุงุจุชุฉ ู…ุงุนู†ุงู‡ุง
1776
+
1777
+ 445
1778
+ 00:52:03,370 --> 00:52:08,810
1779
+ ู…ุดูƒู„ุฉ ู…ุงุดูŠ ุงูƒุชุจู‡ุง ุงู„ู…ู„ุงุญุธุฉ ุฏูŠ ุงูƒุชุจ ู…ู„ุงุญุธุฉ ุจุงู„ุนุฑุจูŠ
1780
+
1781
+ 446
1782
+ 00:52:08,810 --> 00:52:15,750
1783
+ ู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุงุฐุง
1784
+
1785
+ 447
1786
+ 00:52:15,750 --> 00:52:16,670
1787
+ ุงุนุทูŠู†ุง
1788
+
1789
+ 448
1790
+ 00:52:19,390 --> 00:52:24,750
1791
+ ุฃุญุฏ ุงู„ุญู„ูˆู„ ู„ู„ู…ุนุงุฏู„ุฉ
1792
+
1793
+ 449
1794
+ 00:52:24,750 --> 00:52:30,210
1795
+ ุงู„ุชูุงุถู„ูŠุฉ ุงู„ู‰
1796
+
1797
+ 450
1798
+ 00:52:30,210 --> 00:52:37,110
1799
+ ุงู„ู„ู‰ ู‚ุฏุงู…ูƒ ู‡ุฐู‰ y w prime ุฒุงุฏ p of t y prime ุฒุงุฏ q
1800
+
1801
+ 451
1802
+ 00:52:37,110 --> 00:52:46,490
1803
+ of t ููŠ y ุจุฏู‡ ูŠุณุงูˆูŠ zero where ุงู„
1804
+
1805
+ 452
1806
+ 00:52:46,490 --> 00:53:03,070
1807
+ p of tand the Q of T are constants or not ูŠุนู†ูŠ
1808
+
1809
+ 453
1810
+ 00:53:03,070 --> 00:53:05,570
1811
+ ูƒุงู†ูˆุง ุซูˆุงุจุช ูˆ ุงู„ู„ู‡ ู…ุงู„ู‡ ุงูŠู‡ ุซูˆุงุจุช ู…ุด ู…ุดูƒู„ุฉ ู„ู…ุง
1812
+
1813
+ 454
1814
+ 00:53:05,570 --> 00:53:10,210
1815
+ ูŠุนุทุงู†ูŠ ุญู„ ู‡ูˆ ุงู„ุทุฑูŠู‚ุฉ ุฏูŠ ูˆุณุทู‡ุง ุจุฌูŠุจ ู…ู†ุŸ ุจุฌูŠุจ ุงู„ุญู„
1816
+
1817
+ 455
1818
+ 00:53:10,210 --> 00:53:16,330
1819
+ ุงู„ุซุงู†ูŠ ุฅุฐุง ุฃุฑูˆุญ ู†ุงุฎุฏ ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ูŠุจู‚ู‰
1820
+
1821
+ 456
1822
+ 00:53:16,330 --> 00:53:16,890
1823
+ example
1824
+
1825
+ 457
1826
+ 00:53:23,900 --> 00:53:34,060
1827
+ ุณุคุงู„ ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ู…ู† ุงู„ูƒุชุงุจ ุจูŠู‚ูˆู„ if Y1 ุฏูˆ ุณูˆุก
1828
+
1829
+ 458
1830
+ 00:53:34,060 --> 00:53:45,780
1831
+ ูˆุงุญุฏ ุนู„ู‰ T ูˆ T greater than zero is a solution of
1832
+
1833
+ 459
1834
+ 00:53:45,780 --> 00:53:51,940
1835
+ the differential equation
1836
+
1837
+ 460
1838
+ 00:53:52,590 --> 00:54:01,790
1839
+ ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ู„ู€ T ุชุฑุจูŠุน YW prime ุฒุงุฆุฏ ุชู„ุงุชุฉ
1840
+
1841
+ 461
1842
+ 00:54:01,790 --> 00:54:13,330
1843
+ T ู๏ฟฝ๏ฟฝ Y prime ุฒุงุฆุฏ Y ุชุณุงูˆูŠ Zero Find a second
1844
+
1845
+ 462
1846
+ 00:54:13,330 --> 00:54:19,810
1847
+ linearly independent solution
1848
+
1849
+ 463
1850
+ 00:54:22,930 --> 00:54:48,430
1851
+ of the given differential equation ุฒูŠ
1852
+
1853
+ 464
1854
+ 00:54:48,430 --> 00:54:51,470
1855
+ ู…ุง ุชุดูˆููŠู† ู‡ู†ุง Y1 ุญู„ ุงู„ู…ุนุงุฏู„ุฉ
1856
+
1857
+ 465
1858
+ 00:54:58,470 --> 00:55:01,510
1859
+ ุงู„ู…ุนุงุฏุฉ ุงู„ู„ู‰ ุนู†ู‡ุง second order differential
1860
+
1861
+ 466
1862
+ 00:55:01,510 --> 00:55:05,390
1863
+ equation ุณูˆุงุก ูƒู…ุนุงู…ู„ T ุชุฑุจูŠู‡ ุงูˆ ุงู„ู…ุนุงู…ู„ ูˆุงุญุฏ ุตุญูŠุญ
1864
+
1865
+ 467
1866
+ 00:55:05,390 --> 00:55:09,710
1867
+ ู„ูˆ ุฌุณู…ู†ุง ุนู„ู‰ T ุชุฑุจูŠู‡ ุจุตูŠุฑ ุงู„ู…ุนุงู…ู„ main ูˆุงุญุฏ ุตุญูŠุญ
1868
+
1869
+ 468
1870
+ 00:55:09,710 --> 00:55:14,890
1871
+ ู„ูƒู† ู‡ู„ ู„ุงุฒู… ู„ูŠ ุดูƒู„ P of T ูˆู‚ู„ Q of TุŸ ู…ุด ู„ุงุฒู… ู„ูŠ
1872
+
1873
+ 469
1874
+ 00:55:14,890 --> 00:55:20,090
1875
+ ูˆุจุงู„ุชุงู„ูŠ ู„ุง ุฏุงุนูŠ ู„ู„ู‚ุณู…ุฉู…ุด ุฏู‡ ุงู„ู‚ุณู… ุจู‡ู…ู†ุง ู…ูŠู† ุจู‡ู…ู†ุง
1876
+
1877
+ 470
1878
+ 00:55:20,090 --> 00:55:24,790
1879
+ ุงู„ุดุบู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ุฏู‡ ู…ุงุชูŠู†ูŠ ูˆุงุญุฏ ุนู„ู‰ T ู‡ูˆ ุญู„ ูŠุจู‚ู‰
1880
+
1881
+ 471
1882
+ 00:55:24,790 --> 00:55:28,830
1883
+ ุงู„ุญู„ ุงู„ุชุงู†ูŠ V of T ููŠ ูˆุงุญุฏ ุนู„ู‰ T ูˆ ุจุชุฌุฏูŠู‡ ุจุดูƒู„ ู…ูŠู†
1884
+
1885
+ 472
1886
+ 00:55:28,830 --> 00:55:37,710
1887
+ ุงู„ V of T ูŠุจู‚ู‰ ุจุนุฏูŠ ุจู‚ูˆู„ู‡ ู‡ู†ุง suppose that
1888
+
1889
+ 473
1890
+ 00:55:37,710 --> 00:55:43,650
1891
+ ุงูุฑุถ ุงู†ู‡ the other solution
1892
+
1893
+ 474
1894
+ 00:55:45,910 --> 00:55:55,730
1895
+ Y ุชุณุงูˆูŠ V of T ููŠ ู…ูŠู†ุŸ ููŠ ูˆุงุญุฏ ุนุงู„ู‰ T ูˆุงู„ุงู† ุจุฏู†ุง
1896
+
1897
+ 475
1898
+ 00:55:55,730 --> 00:56:00,030
1899
+ ู†ุฑูˆุญ ู†ุฌูŠุจู„ู‡ ู…ูŠู†ุŸ ุดูƒู„ ุงู„ V of T ุฅุฐุง ุจุฏู†ุง ู†ุฑูˆุญ
1900
+
1901
+ 476
1902
+ 00:56:00,030 --> 00:56:08,830
1903
+ ู†ุดุชู‚ู‡ุง ูŠุง ุจู†ุงุช ูŠุจู‚ู‰ ู‡ู†ุด ุจูŠุตูŠุฑ Y prime ุจุฏู‡ ูŠุณุงูˆูŠ V
1904
+
1905
+ 477
1906
+ 00:56:08,830 --> 00:56:19,620
1907
+ prime ููŠ ูˆุงุญุฏ ุนุงู„ู‰ Tุฒุงุฆุฏ ูˆ ู„ุง ู†ุงู‚ุต V ููŠ ูˆุงุญุฏ ุนู„ู‰ T
1908
+
1909
+ 478
1910
+ 00:56:19,620 --> 00:56:26,180
1911
+ ุชุฑุจูŠุฉ ู…ุดุชู‚ุฉ ูˆุงุญุฏ ุนู„ู‰ T ุจุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ T ุชุฑุจูŠุฉ ู†ุฌูŠุจ
1912
+
1913
+ 479
1914
+ 00:56:26,180 --> 00:56:38,280
1915
+ ุงู„ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉูŠุจู‚ู‰ YW' ูŠุณูˆู‰ VW' ููŠ 1 ุนู„ู‰ T ู…ุงู‚ุต
1916
+
1917
+ 480
1918
+ 00:56:38,280 --> 00:56:44,060
1919
+ V' ููŠ 1 ุนู„ู‰ T ุชุฑุจูŠุน
1920
+
1921
+ 481
1922
+ 00:56:47,810 --> 00:56:53,730
1923
+ ูŠุจู‚ู‰ ุงู„ุงู† ุงุดุชู‚ุช ุงุชู†ูŠู† ู‡ุฐูˆู„ ูƒู…ุดุชู‚ุช ุญุตู„ ุถุฑุจ ุฏู„ุชูŠู†
1924
+
1925
+ 482
1926
+ 00:56:53,730 --> 00:56:59,210
1927
+ ูŠุจู‚ู‰
1928
+
1929
+ 483
1930
+ 00:56:59,210 --> 00:57:08,120
1931
+ ู†ุงู‚ุต V' ููŠ 1 ุนู„ู‰ T ุชุฑุจูŠุนุฌู†ุฉ ู†ุงู‚ุต ู…ู† ุซุจุช ุงู„ V
1932
+
1933
+ 484
1934
+ 00:57:08,120 --> 00:57:14,120
1935
+ ูˆู…ุดุชู‚ุช ู‡ุฐู‡ ูƒุงู† T ูˆุงู„ุณู„ุจ ุชุงู†ูŠ ูŠุจู‚ู‰ ุณุงู„ุจ ุงุชู†ูŠู† T
1936
+
1937
+ 485
1938
+ 00:57:14,120 --> 00:57:21,220
1939
+ ูˆุงู„ุณู„ุจ ุชู„ุงุชุฉ ู…ุน ุงู„ุณู„ุจ ุจุตูŠุฑ ู…ูˆุฌุจ ุงุชู†ูŠู† V ุนู„ู‰ T ุชูƒูŠุจ
1940
+
1941
+ 486
1942
+ 00:57:21,220 --> 00:57:30,380
1943
+ ูŠุจู‚ู‰ ู…ูˆุฌุจ V ููŠ ุงุชู†ูŠู† ุนู„ู‰ T ุชูƒูŠุจ
1944
+
1945
+ 487
1946
+ 00:57:36,150 --> 00:57:42,750
1947
+ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุงูŠ ุฌูŠุจุช Y' ูˆYW' ุงู„ุงู† ุจุฏู‰ ุงุฑุฌุน ุงุนูˆุถ ูˆูŠู†
1948
+
1949
+ 488
1950
+ 00:57:42,750 --> 00:57:47,710
1951
+ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุงุตู„ูŠุฉ ุณู…ูŠู‡ุง ู„ูŠู‡ุง ุฏู‰ ูƒู†ุง ุจู†ุณู…ูŠู‡ุง ู‚ุจู„
1952
+
1953
+ 489
1954
+ 00:57:47,710 --> 00:57:56,490
1955
+ ู‡ูŠูƒ ู…ูŠู† ู„ูŠู‡ star ูŠุจู‚ู‰ ุจู†ุฌูŠ ู†ู‚ูˆู„ ู‡ู†ุง substitute and
1956
+
1957
+ 490
1958
+ 00:57:56,490 --> 00:58:04,690
1959
+ the differential equation star we get
1960
+
1961
+ 491
1962
+ 00:58:35,520 --> 00:58:43,960
1963
+ ุงู„ุงู† ุชุฑุจูŠุน ููŠ ุงู„ู€
1964
+
1965
+ 492
1966
+ 00:58:43,960 --> 00:58:52,300
1967
+ v double prime ุนู„ู‰ t ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุชู†ุชูŠู† ู†ุงู‚ุต
1968
+
1969
+ 493
1970
+ 00:58:52,300 --> 00:58:53,500
1971
+ ุงุชู†ูŠู†
1972
+
1973
+ 494
1974
+ 00:59:04,390 --> 00:59:10,830
1975
+ V ุนู„ู‰ T ุชูƒุนูŠุจ ู‡ุฐุง ุงู„ term ุงู„ุฃูˆู„ ุงู„ term ุงู„ุชุงู†ูŠ
1976
+
1977
+ 495
1978
+ 00:59:10,830 --> 00:59:16,470
1979
+ ุฒุงุฆุฏ ุชู„ุงุชุฉ T ููŠ ุงู„ Y prime Y prime ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูˆู„ู‰
1980
+
1981
+ 496
1982
+ 00:59:16,470 --> 00:59:27,340
1983
+ V prime ุนู„ู‰ TV' ุนู„ู‰ T ู†ุงู‚ุต V ุนู„ู‰ T ุชุฑุจูŠุฉ ุงู„ู„ูŠ
1984
+
1985
+ 497
1986
+ 00:59:27,340 --> 00:59:34,240
1987
+ ุจุนุฏู‡ุง ุฒุงุฆุฏ Y ุฒุงุฆุฏ V ุนู„ู‰ T ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ
1988
+
1989
+ 498
1990
+ 00:59:34,240 --> 00:59:41,240
1991
+ ู…ู†ุŸ ุจุฏู‡ ูŠุณุงูˆูŠ Zero ุทุจุนุงู‹ Y ู‡ูŠ ุงู„ู„ูŠ ูุฑุถู†ุงู‡ุง V ููŠ 1
1992
+
1993
+ 499
1994
+ 00:59:41,240 --> 00:59:47,210
1995
+ ุนู„ู‰ T ูŠุนู†ูŠ V ุนู„ู‰ T ู‡ูŠ V ุนู„ู‰ TุทูŠุจ ุงู†ููƒ ุงู„ุฃู‚ูˆุงุณ ู‡ุฐู‡
1996
+
1997
+ 500
1998
+ 00:59:47,210 --> 00:59:54,450
1999
+ ุจุตูŠุฑ ุงู†ุง mean T ููŠ ุงู„ V Double Prime ู†ุงู‚ุต ุงุชู†ูŠู† V
2000
+
2001
+ 501
2002
+ 00:59:54,450 --> 01:00:03,130
2003
+ Prime ุฒุงุฆุฏ ุงุชู†ูŠู† ุนู„ู‰ T ูƒู„ู‡ ููŠ ุงู„ V ุฒุงุฆุฏ ุชู„ุงุชุฉ ููŠ V
2004
+
2005
+ 502
2006
+ 01:00:03,130 --> 01:00:13,650
2007
+ Prime ู†ุงู‚ุต ุชู„ุงุชุฉ V ุนู„ู‰ Tู†ู‚ุต ุซู„ุงุซุฉ V ุนู„ู‰ T ุฒุงุฆุฏ V
2008
+
2009
+ 503
2010
+ 01:00:13,650 --> 01:00:20,450
2011
+ ุนู„ู‰ T ูƒู„ู‡ ุจุฏู‡ ูŠุณุงูˆูŠ Zero ุงุชุทู„ุน ู„ูŠ ุงู„ู‰ ู†ุงู‚ุต ุงุชู†ูŠู† V
2012
+
2013
+ 504
2014
+ 01:00:20,450 --> 01:00:29,410
2015
+ Prime ูˆ ุชู„ุงุชุฉ V Primeูˆ ุชู„ุงุชุฉ V' ููŠ ุบูŠุฑู‡ู… ูˆ ู…ุด
2016
+
2017
+ 505
2018
+ 01:00:29,410 --> 01:00:35,870
2019
+ ุบูŠุฑู‡ู… ุทูŠุจ ุจุธู„ ุนู†ุฏู†ุง T ููŠ ุงู„ V Double Prime ูˆ ุจุธู„
2020
+
2021
+ 506
2022
+ 01:00:35,870 --> 01:00:45,170
2023
+ ุนู†ุฏู†ุง ู‡ู†ุง ุฒุงุฆุฏ V Prime2 ุนู„ู‰ T ูˆุงุญุฏุฉ ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ุน
2024
+
2025
+ 507
2026
+ 01:00:45,170 --> 01:00:51,190
2027
+ ู‡ุฐู‡ ุจูŠุตูŠุฑูˆุง ุชู„ุงุชุฉ ู…ุน ุณุงู„ุจ ุชู„ุงุชุฉ ู…ุน ุงู„ุณู„ุงู…ุฉ ุจุฑูˆุญ
2028
+
2029
+ 508
2030
+ 01:00:51,190 --> 01:00:56,650
2031
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ ู…ูŠู† ุจุฏู‡ ูŠุณุงูˆูŠ ุฒุฑ๏ฟฝ๏ฟฝ ุฒูŠ ู…ุง ุงู†ุช
2032
+
2033
+ 509
2034
+ 01:00:56,650 --> 01:01:02,930
2035
+ ุดุงูŠู ุงู„ equation with v missing ูŠุจู‚ู‰ ู‡ุฐู‡ equation
2036
+
2037
+ 510
2038
+ 01:01:02,930 --> 01:01:15,430
2039
+ with v missing ุทูŠุจ ุชู…ุงู…ุงุฐุง ุจุฏูŠ ุงู‚ูˆู„ let z ุชุณูˆู‰ v
2040
+
2041
+ 511
2042
+ 01:01:15,430 --> 01:01:20,810
2043
+ prime ู‡ุฐุง ุจุฏูŠ ุงุนุทูŠูƒ ุงู† z prime ุจุฏูŠ ุชุณูˆู‰ v double
2044
+
2045
+ 512
2046
+ 01:01:20,810 --> 01:01:29,610
2047
+ prime ูŠุจู‚ู‰ ู„ุชุตุจุญ ุงู„ู…ุนุงุฏู„ุฉ T z prime ุฒุงุฆุฏ z ุจุฏูŠ ุณูˆู‰
2048
+
2049
+ 513
2050
+ 01:01:29,610 --> 01:01:38,450
2051
+ ู‚ุฏุงุด zero ุงูˆ ุจู‚ุฏุฑ ุงู‚ูˆู„ ู„ูˆ z prime ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ T
2052
+
2053
+ 514
2054
+ 01:01:38,450 --> 01:01:46,710
2055
+ ููŠ zูŠุจุฏูˆ ูŠุณุงูˆูŠ zero ุงูˆ ุจู‚ุฏุฑ ุงู‚ูˆู„ z prime ุนู„ู‰ z
2056
+
2057
+ 515
2058
+ 01:01:46,710 --> 01:01:58,390
2059
+ ูŠุณุงูˆูŠ ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ Tุฅู† ูƒุงู…ู„ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ูŠู†
2060
+
2061
+ 516
2062
+ 01:01:58,390 --> 01:02:07,490
2063
+ absolute value ู„ุฒ ูŠุณูˆู‰ ู†ุงู‚ุต ู„ูŠู† absolute value ู„ T
2064
+
2065
+ 517
2066
+ 01:02:07,490 --> 01:02:15,680
2067
+ ุฒุงุฏ constant C1 ุดูˆ ุฑุฃูŠูƒ ุฃุฌูŠุจ ุงู„ู„ูŠ ู†ุงุช ุนู† ุจุนุถูŠุจู‚ู‰
2068
+
2069
+ 518
2070
+ 01:02:15,680 --> 01:02:22,220
2071
+ ู„ูˆ ุฌุจุช ุจุชูŠุฌูŠ ุจุดุงุฑุงุช ู…ูˆุฌุจ ูŠุจู‚ู‰ ู‡ู†ุง ุงุด ุจุตูŠุฑ ุจุตูŠุฑ ู„ู†
2072
+
2073
+ 519
2074
+ 01:02:22,220 --> 01:02:28,800
2075
+ absolute value ู„ Z ู„ู† absolute value ู„ T ุชุณุงูˆูŠ C1
2076
+
2077
+ 520
2078
+ 01:02:28,800 --> 01:02:36,780
2079
+ ุงุธู† ู„ู† ุฒุงุฆุฏ ู„ู† ุชุนู†ูŠ ู„ู† ุญุงุตู„ ุงู„ุฏุฑุจ ูŠุจู‚ู‰ ุจุตูŠุฑ ุนู†ุฏู†ุง
2080
+
2081
+ 521
2082
+ 01:02:36,780 --> 01:02:43,560
2083
+ ู„ู† absolute value ู„ ZT ูŠุณุงูˆูŠ C1 ุงุถุงูŠู‚ ุงู„
2084
+
2085
+ 522
2086
+ 01:02:43,560 --> 01:02:49,420
2087
+ exponentialู†ุถูŠุน ุงู„ line ูˆ ู†ุฏุฎู„ ุงู„ exponential ูŠุจู‚ู‰
2088
+
2089
+ 523
2090
+ 01:02:49,420 --> 01:02:55,920
2091
+ absolute value ู„ ZT ูŠุณุงูˆูŠ E ูˆุงู„ C1 ุนู…ุฑ ุงู„
2092
+
2093
+ 524
2094
+ 01:02:55,920 --> 01:02:59,940
2095
+ exponential ุจูŠุงุฎุฏ ู‚ูŠู…ุฉ ุณุงู„ุจุฉ ูŠุจู‚ู‰ ุงู„ absolute ู‡ูˆ
2096
+
2097
+ 525
2098
+ 01:02:59,940 --> 01:03:10,690
2099
+ guiltูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ ูŠุจู‚ู‰ Z T ูŠุณุงูˆูŠ C ูˆ R C ุชุณุงูˆูŠ E
2100
+
2101
+ 526
2102
+ 01:03:10,690 --> 01:03:17,170
2103
+ ูˆ C1 ู…ุด E ูˆ C1 ู…ู‚ุฏุงุฑ ุซุงุจุช ุจุฏู‡ ุณุงู…ูŠู‡ุง C ุฃุณู‡ู„ูŠ ูŠุจู‚ู‰
2104
+
2105
+ 527
2106
+ 01:03:17,170 --> 01:03:23,150
2107
+ ุจู†ุงุก ุนู„ูŠู‡ ุจุตูŠุฑ Z ุงู„ู„ูŠ ู‡ูŠ ุชุณุงูˆูŠ ู…ูŠู† ูŠุง ุจู†ุงุช ูุฑุถู†ุงู‡ุง
2108
+
2109
+ 528
2110
+ 01:03:24,570 --> 01:03:24,970
2111
+ V'
2112
+
2113
+ 529
2114
+ 01:03:27,610 --> 01:03:36,280
2115
+ ุจุฏู‡ ูŠุณุงูˆูŠ C ุนู„ู‰ T ุทุจุนุง ู‡ุฐู‡ Z ุฒูŠ ู…ุง ุดุงูŠููŠู†ูŠุจู‚ู‰ C
2116
+
2117
+ 530
2118
+ 01:03:36,280 --> 01:03:45,560
2119
+ ุนู„ู‰ T ุทูŠุจ ุงู† ูƒุงู…ู„ ุงู„ุทุฑููŠู† ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠู†ุง V of
2120
+
2121
+ 531
2122
+ 01:03:45,560 --> 01:03:53,920
2123
+ T ุจุฏู‡ ุณูˆู‰ C ู„ุฅู† T ุจุฏูˆู† absolute value ู„ูŠุดุŸ ู„ุฃู†ู‡
2124
+
2125
+ 532
2126
+ 01:03:53,920 --> 01:03:58,880
2127
+ ู‚ุงู„ ู‡ู†ุง ููŠ ุงู„ู…ุซู„ุฉ T greater than 0 ุทุจุนุง ูŠุจู‚ู‰ ู„ุง
2128
+
2129
+ 533
2130
+ 01:03:58,880 --> 01:04:05,670
2131
+ ุฏุงุนูŠ ู„ู„ absolute valueุทูŠุจ ู‡ุฏู‰ ู…ูŠู†ุŸ V of T ูŠุจู‚ู‰ C
2132
+
2133
+ 534
2134
+ 01:04:05,670 --> 01:04:14,000
2135
+ ู„ุฅู† T ุฒุงุฏ constant ู„ู…ู† C ุชูˆู„ู‰ ุซุงุจุช ุงู„ุชูƒุงู…ู„ุจู†ุงู†
2136
+
2137
+ 535
2138
+ 01:04:14,000 --> 01:04:19,080
2139
+ ุนู„ูŠู‡ ุจู‚ุฏุฑ ุงุฎุฏ c ุจูˆุงุญุฏ ูˆ ุจู‚ุฏุฑ ุงุฎุฏ c ุงุชู†ูŠู† ูŠุจู‚ู‰ ุฏุงุดุฑ
2140
+
2141
+ 536
2142
+ 01:04:19,080 --> 01:04:30,380
2143
+ ุจุฒูŠุฑูˆ ูŠุจู‚ู‰ ู‡ู†ุง take c ุชุณุงูˆูŠ ูˆุงุญุฏ ุตุญูŠุญ and c ุงุชู†ูŠู†
2144
+
2145
+ 537
2146
+ 01:04:30,380 --> 01:04:39,420
2147
+ ูŠุณุงูˆูŠ ุฒูŠุฑูˆ we get ุจู†ุญุตู„ ุนู„ุงู…ูŠู† ุนู„ู‰ v of t ุจุฏู‡
2148
+
2149
+ 538
2150
+ 01:04:39,420 --> 01:04:45,510
2151
+ ูŠุณุงูˆูŠ ู„ุงู† ุงู„ tูŠุจู‚ู‰ ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠู„ูƒ the other
2152
+
2153
+ 539
2154
+ 01:04:45,510 --> 01:04:51,410
2155
+ solution is
2156
+
2157
+ 540
2158
+ 01:04:51,410 --> 01:05:05,030
2159
+ ู‡ู‡ ุงู„ Y2 ุจุฏู‡ ุณุงูˆูŠ V of T ููŠ 1 ุนู„ู‰ T ูŠุจู‚ู‰ ู„ุฅู† T ุนู„ู‰
2160
+
2161
+ 541
2162
+ 01:05:05,030 --> 01:05:05,430
2163
+ T
2164
+
2165
+ 542
2166
+ 01:05:08,160 --> 01:05:12,700
2167
+ ุงู„ุณุคุงู„ ู‡ูˆ ุฌุงู„ูŠ ู‡ุงุชู„ูŠ solution ุชุงู†ูŠ collinearly
2168
+
2169
+ 543
2170
+ 01:05:12,700 --> 01:05:16,360
2171
+ independent ู…ุน ุงู„ุญู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ูŠุจู‚ู‰ ุดูˆ ุจุฏู†ุง
2172
+
2173
+ 544
2174
+ 01:05:16,360 --> 01:05:21,900
2175
+ ู†ุนู…ู„ุŸ ุจุฏู†ุง ู†ุฌูŠุจ ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ุญุงู„ูŠู† ูŠุจู‚ู‰ ุจุฏู‡
2176
+
2177
+ 545
2178
+ 01:05:21,900 --> 01:05:27,880
2179
+ ุฃุฌูŠุจู„ู‡ ุงู„ุขู† ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ุญู„ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ 1 ุนู„ู‰
2180
+
2181
+ 546
2182
+ 01:05:27,880 --> 01:05:35,790
2183
+ T ูˆ ุงู„ุญู„ ุงู„ุชุงู†ูŠ ู„ู† T ุนู„ู‰ TูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ู…ุญุฏุฏ ูˆุงุญุฏ ูˆ
2184
+
2185
+ 547
2186
+ 01:05:35,790 --> 01:05:40,970
2187
+ ุงู„ู„ู‡ ุงูŠุด ุฑุงูŠูƒ ู„ูŠู‡ ุงู„ุณู‡ูˆู„ุฉ ุจุฏูŠ ุงู‚ูˆู„ T ุงู„ุณุงู„ุจ ูˆุงุญุฏ ูˆ
2188
+
2189
+ 548
2190
+ 01:05:40,970 --> 01:05:47,210
2191
+ ู‡ู†ุง T ุงู„ุณุงู„ุจ ูˆุงุญุฏ ููŠ ู„ู†ุฉ T ุจุฏู„ ู…ุง ุงุฎู„ูŠู‡ุง ูƒุซูˆุฑ
2192
+
2193
+ 549
2194
+ 01:05:47,210 --> 01:05:54,430
2195
+ ู‡ูŠูƒุณู„ูŠ ุจุณ ููŠ ุงู„ูƒุชุงุจุฉ ุจุฏู†ุง ู†ุดุชุงู‚ ูŠุจู‚ู‰ ุณุงู„ุจ T ุงู„ุณุงู„ุจ
2196
+
2197
+ 550
2198
+ 01:05:54,430 --> 01:06:01,410
2199
+ ุงุชู†ุงู…ู‡ุฐู‡ ุงู„ู…ุดุชู‚ุฉ ุญุงุตู„ ุถุฑุจ ุฏู„ุชูŠู† ุชูŠ ูˆ ุงู„ุณู„ุจ ูˆุงุญุฏ ููŠ
2200
+
2201
+ 551
2202
+ 01:06:01,410 --> 01:06:08,310
2203
+ ูˆุงุญุฏ ุนู„ู‰ ุชูŠ ุชู…ุงู… ูŠุนู†ูŠ ุชูŠ ูˆ ุงู„ุณู„ุจ ุงุชู†ูŠู† ุตุญ ูˆู„ุง ู„ุง
2204
+
2205
+ 552
2206
+ 01:06:08,310 --> 01:06:13,430
2207
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ูˆุงู„ู„ู‡ ุฎู„ูŠู‡ุง ุนู„ู‰ ุฎุทูˆุทูŠู† ูŠุจู‚ู‰ ุชูŠ ูˆ ุงู„ุณู„ุจ
2208
+
2209
+ 553
2210
+ 01:06:13,430 --> 01:06:21,890
2211
+ ูˆุงุญุฏ ููŠ ูˆุงุญุฏ ุนู„ู‰ ุชูŠู† ุณุงู„ุจ ุงู„ู„ูŠ ู‡ูˆ ุชูŠ ูˆ ุงู„ุณู„ุจ ุงุชู†ูŠู†
2212
+
2213
+ 554
2214
+ 01:06:21,890 --> 01:06:29,190
2215
+ ููŠ ู„ู† ุงู„ุชูŠู…ุฑุฉ ุซุงู†ูŠุฉ ุง๏ฟฝ๏ฟฝุง ุงู‚ุนุฏ ูˆุงุญุฏ ุนู„ู‰ ุช ู…ุงุฐุง
2216
+
2217
+ 555
2218
+ 01:06:29,190 --> 01:06:33,360
2219
+ ุงูƒุชุจุชูŠู‡ ูˆุงู„ุณู„ุจ ูˆุงุญุฏู„ู† ุงู„ T ุนู„ู‰ T ุจุงู„ูƒุชุงุจุฉ T
2220
+
2221
+ 556
2222
+ 01:06:33,360 --> 01:06:35,780
2223
+ ูˆุงู„ุณุงู„ุจ ูˆุงุญุฏ ู„ู† T
2224
+
2225
+ 557
2226
+ 01:07:01,870 --> 01:07:09,790
2227
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ููŠ ู‡ุฐู‡ ุจูŠุตูŠุฑ T ุฃุณุงู„ุจ ุงุชู†ูŠู† ููŠ ูˆุงุญุฏ ุนู„ู‰ T
2228
+
2229
+ 558
2230
+ 01:07:09,790 --> 01:07:17,150
2231
+ ูŠุนู†ูŠ T ุฃุณุงู„ุจ ุชู„ุงุชุฉ ูŠุจู‚ู‰ ู‡ุงูŠ T ุฃุณุงู„ุจ ุชู„ุงุชุฉ ุฎู„ุงุตู†ุง
2232
+
2233
+ 559
2234
+ 01:07:17,150 --> 01:07:23,870
2235
+ ุงู„ุชุฑู…ูŠู†ุงุช ู†ุงู‚ุต T ุฃุณุงู„ุจ ูˆุงุญุฏ ููŠ ู‡ุฐู‡ ุจูŠุตูŠุฑ T ุฃุณุงู„ุจ
2236
+
2237
+ 560
2238
+ 01:07:23,870 --> 01:07:31,620
2239
+ ุชู„ุงุชุฉ ููŠ ู„ู† TT ุงู„ุณุงู„ุจ ุชู„ุงุชุฉ ููŠ ุงู„ุงู† ุงู„ T ู‡ุฐุง
2240
+
2241
+ 561
2242
+ 01:07:31,620 --> 01:07:38,680
2243
+ ุงู„ุฑุฆูŠุณูŠ ู†ู‚ุต ุงู„ุซุงู†ูˆูŠ ู…ุน ุงู„ู†ู‚ุต ุจูŠุตูŠุฑ ุฒุงุฆุฏ T ุงู„ุณุงู„ุจ
2244
+
2245
+ 562
2246
+ 01:07:38,680 --> 01:07:45,670
2247
+ ุชู„ุงุชุฉ ููŠ ู…ู†ุŸ ููŠ ุงู„ุงู† ุงู„ Tู‡ุฐูˆู„ ุงุชู†ูŠู† ุจูŠุฑูˆุญูˆุง ู…ุน ุจุนุถ
2248
+
2249
+ 563
2250
+ 01:07:45,670 --> 01:07:53,370
2251
+ ุจูŠุธู„ ุนู†ุฏูŠ ู‚ุฏุงุด T ุฃูุณ ุณุงู„ุจ ุชู„ุงุชุฉ ูˆู‡ุฐุง ู„ุง ูŠุณุงูˆูŠ ุฒูŠุฑูˆ
2252
+
2253
+ 564
2254
+ 01:07:53,370 --> 01:08:01,070
2255
+ ุงู„ุณุจุจ because ุงู†ู‡ T greater than zero ู…ุฏุงู… ู‡ูŠูƒ
2256
+
2257
+ 565
2258
+ 01:08:01,070 --> 01:08:03,950
2259
+ ูŠุจู‚ู‰ ุงุชู†ูŠู† ู‡ุฐูˆู„ ุดูˆ ุจูŠุนู…ู„ูˆุง ู„ูŠู‡ุŸ linearly
2260
+
2261
+ 566
2262
+ 01:08:03,950 --> 01:08:12,880
2263
+ independent solution ู„ู…ูŠู† ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุงูŠุจู‚ู‰
2264
+
2265
+ 567
2266
+ 01:08:12,880 --> 01:08:22,060
2267
+ ู‡ู†ุง ุงู„ูˆุงุญุฏ ุนุงู„ุชูŠ and ุงู„ุงู†ุชูŠุงู„ุงุช
2268
+
2269
+ 568
2270
+ 01:08:22,060 --> 01:08:29,680
2271
+ are linearly independent solutions
2272
+
2273
+ 569
2274
+ 01:08:29,680 --> 01:08:31,100
2275
+ of
2276
+
2277
+ 570
2278
+ 01:08:42,010 --> 01:08:53,990
2279
+ ูŠุจู‚ู‰ ุจูŠู†ุงู‡ ูŠุนู†ูŠ ุตุงุฑ the general solution is Y
2280
+
2281
+ 571
2282
+ 01:08:53,990 --> 01:09:07,190
2283
+ ุชุณุงูˆูŠ C1 ููŠ 1 ุนุงู„ุฉ T ุฒูŠ C2 ููŠ 1 ุนุงู„ุฉ T ููŠ ู„ู†ุฉ T
2284
+
2285
+ 572
2286
+ 01:09:07,590 --> 01:09:12,450
2287
+ ูŠุจู‚ู‰ ู‡ุฐุง ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ูŠุจู‚ู‰ ุทุฑูŠู‚ุฉ ุงู„
2288
+
2289
+ 573
2290
+ 01:09:12,450 --> 01:09:16,270
2291
+ reduction of order ุฏุงุฆู…ุง ูˆ ุฃุจุฏุง ู…ู†ุงู„ุฌุฉ ู„ู‡ุง ุฅุฐุง
2292
+
2293
+ 574
2294
+ 01:09:16,270 --> 01:09:22,870
2295
+ ุงุนุทุงู† ู…ูŠู† ุฃุญุฏ ุงู„ุญู„ูˆู„ ูˆ ุทู„ุจ ุงู„ุญู„ ุงู„ุซุงู†ูŠ ุณูˆุงุก ูƒุงู†ุช
2296
+
2297
+ 575
2298
+ 01:09:22,870 --> 01:09:27,270
2299
+ ุงู„ู…ุนุงุฏู„ุฉ ุจู…ุนุงู…ู„ุงุช ุซุงุจุชุฉ ุฃูˆ ู…ุงู‡ูŠุงุด ุจู…ุนุงู…ู„ุฉ ุซุงุจุชุฉ
2300
+
2301
+ 576
2302
+ 01:09:27,270 --> 01:09:31,630
2303
+ ุทู„ุนูˆุง ุงู„ tactic ุงู„ู„ูŠ ุงุชุจุนู†ุง ู‡ู†ุง ู†ุชุจุน ุฃู† ุฏู‡ ุญู„ ุฃูŠ
2304
+
2305
+ 577
2306
+ 01:09:31,630 --> 01:09:36,790
2307
+ ุณุคุงู„ ุขุฎุฑ ุจุทุฑูŠู‚ุฉ ู…ูŠู† ุงู„ reduction of order ูˆ ุจู†ุญุจ
2308
+
2309
+ 578
2310
+ 01:09:36,950 --> 01:09:40,830
2311
+ ุงู†ุญุทูƒูˆุง ุนู„ู… ุงู† ู‡ุฐุง ุงู„ู†ูˆุน ู…ู† ุงู„ู…ุณุงุฆู„ ุจูŠูƒุฑุฑู‡
2312
+
2313
+ 579
2314
+ 01:09:40,830 --> 01:09:46,050
2315
+ ุงู„ู…ุฏุฑุณูŠู† ูƒุชูŠุฑ ููŠ ุงู„ุงู…ุชุญุงู†ุงุช ูˆ ุฎุงุตุฉ ุงู„ุงู…ุชุญุงู† ุงู„ู†ุตููŠ
2316
+
2317
+ 580
2318
+ 01:09:46,050 --> 01:09:51,050
2319
+ ุงู„ุฃูˆู„ ู„ูˆ ุฑุฌุนุชูŠ ู„ุงู…ุชุญุงู†ุงุช ุงู„ุณุงุจู‚ุฉ ุจุชู„ุงู‚ูŠ ุฏุงุฆู…ุง ูˆ
2320
+
2321
+ 581
2322
+ 01:09:51,050 --> 01:09:56,670
2323
+ ุฃุจุฏุง ุจูŠุฌูŠุจูˆุง ุณุคุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุถูˆุน ุญุฏุง ููŠูƒู… ุจุชุญุจ
2324
+
2325
+ 582
2326
+ 01:09:56,670 --> 01:10:04,410
2327
+ ุชุณุฃู„ุงู†ูŠ ุณุคุงู„ ู‡ู†ุง ุฎู„ุงุตู†ุง ุงู„ section ุฎู„ุงุต ุทูŠุจ ุจุฏู†ุง
2328
+
2329
+ 583
2330
+ 01:10:04,410 --> 01:10:09,130
2331
+ ู†ูƒุชุจู‡ ุงู„ุขู† ููŠ ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ููˆู‚ุฃุฑู‚ุงู… ุงู„ู…ุณุงุฆู„ ุชุจุนุช
2332
+
2333
+ 584
2334
+ 01:10:09,130 --> 01:10:14,890
2335
+ ู‡ุฐุง ุงู„ section ูˆุงู„ section ุงู„ู„ูŠ ุฌุงุจู„ู‡ ูŠุจู‚ู‰
2336
+
2337
+ 585
2338
+ 01:10:14,890 --> 01:10:19,410
2339
+ exercises ุชู„ุงุชุฉ
2340
+
2341
+ 586
2342
+ 01:10:19,410 --> 01:10:26,590
2343
+ ุฃุฑุจุนุฉ ุงู„ู…ุณุงุฆู„ ุงู„ุชุงู„ูŠุฉ ู…ู† ุณุจุนุฉ ู„ุบุงูŠุฉ ุงุชู†ูŠู† ูˆุนุดุฑูŠู†
2344
+
2345
+ 587
2346
+ 01:10:26,590 --> 01:10:34,360
2347
+ ุงู„ oddูˆุจู†ุถูŠู ุนู„ูŠู‡ู… ุณุคุงู„ ุณุจุนุฉ ูˆุนุดุฑูŠู† ูˆุณุคุงู„ ุชุณุนุฉ
2348
+
2349
+ 588
2350
+ 01:10:34,360 --> 01:10:39,540
2351
+ ูˆุนุดุฑูŠู† ุจู†ุฌูŠ ุงู„ exercises ุชู„ุงุชุฉ ุฎู…ุณุฉ ุงู„ู„ูŠ ุจูŠู† ุฅูŠุฏู†ุง
2352
+
2353
+ 589
2354
+ 01:10:39,540 --> 01:10:49,180
2355
+ ู…ู† ูˆุงุญุฏ ุฅู„ู‰ ุฃุฑุจุน ุชุงุดุฑ ุงู„ู‚ุฏ ุจู†ุถูŠู ุนู„ูŠู‡ู… ู…ู† ุชู„ุงุชุฉ
2356
+
2357
+ 590
2358
+ 01:10:49,180 --> 01:10:55,020
2359
+ ูˆุนุดุฑูŠู† ู„ุบุงูŠุฉ ุชู„ุงุชูŠู† ุงู„ู‚ุฏ ูƒุฐู„ูƒ
2360
+
2361
+ 591
2362
+ 01:11:00,620 --> 01:11:04,920
2363
+ ุทุจ ุญุฏ ููŠูƒู… ุจุชุญุจ ุชุณุฃู„ ุฃูŠ ุณุคุงู„ ุงุจุชุฏุงู‡ ู…ู† section 3-1
2364
+
2365
+ 592
2366
+ 01:11:04,920 --> 01:11:11,860
2367
+ ู„ุบุงูŠุฉ 3-5 ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุงู„ homogenous second order
2368
+
2369
+ 593
2370
+ 01:11:11,860 --> 01:11:15,600
2371
+ differential equation with constant coefficients
2372
+
2373
+ 594
2374
+ 01:11:15,600 --> 01:11:18,500
2375
+ ุงูˆ ุงู„ section ุงู„ุฃุฎูŠุฑ ู‡ุฐุง ุณูˆุงุก ูƒุงู†ุช constant
2376
+
2377
+ 595
2378
+ 01:11:18,500 --> 01:11:23,880
2379
+ coefficients ุงูˆ ู…ุงู‡ูŠุงุด constant coefficients ุงู‡ ููŠ
2380
+
2381
+ 596
2382
+ 01:11:23,880 --> 01:11:28,360
2383
+ ุงูŠ ุชุณุงุคู„ุŸุจู‚ู‰ ู„ุฏูŠู†ุง ุณูŠูƒุดูŠู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ non
2384
+
2385
+ 597
2386
+ 01:11:28,360 --> 01:11:33,300
2387
+ homogeneous differential equation ู‡ู†ุจุฏุฃ ููŠ ุฃุญุฏู‡ู…
2388
+
2389
+ 598
2390
+ 01:11:33,300 --> 01:11:39,160
2391
+ ุงู„ุขู†
2392
+
2393
+ 599
2394
+ 01:11:39,160 --> 01:11:44,100
2395
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ non homogeneous equations ูˆ ุจุฏุฃ ู†ุงุฎุฏ
2396
+
2397
+ 600
2398
+ 01:11:44,100 --> 01:11:48,080
2399
+ ุฃูˆู„ ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ุทุฑูŠู‚ุฉ ุงู„ู€ undetermined
2400
+
2401
+ 601
2402
+ 01:11:48,080 --> 01:11:52,520
2403
+ coefficients ูŠุจู‚ู‰ ๏ฟฝ๏ฟฝูŠูƒุดูŠู† ุชู„ุงุชุฉ ุณุชุฉ
2404
+
2405
+ 602
2406
+ 01:12:10,660 --> 01:12:19,040
2407
+ Undetermined coefficients ุทุฑูŠู‚ุฉ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุฌู‡ูˆู„ุฉ
2408
+
2409
+ 603
2410
+ 01:12:22,370 --> 01:12:26,830
2411
+ ุงู„ู€ Non-homogeneous ู‡ู†ุญู„ู‡ุง ุจุทุฑูŠู‚ุชูŠู† ุจุฏู†ุง ู†ุงุฎุฏ
2412
+
2413
+ 604
2414
+ 01:12:26,830 --> 01:12:29,490
2415
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฃูˆู„ู‰ ูˆ ุงู„ section ุงู„ู„ู‰ ุฌุงู‰ ุงู† ุดุงุก ุงู„ู„ู‡
2416
+
2417
+ 605
2418
+ 01:12:29,490 --> 01:12:36,470
2419
+ ุจู†ุงุฎุฏ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุซุงู†ูŠุฉ ูŠุจู‚ู‰ ู‡ู†ู…ู‡ุฏ ุฐู„ูƒ ุจู†ุธุฑูŠุชูŠู† ุจุฏู†ุง
2420
+
2421
+ 606
2422
+ 01:12:36,470 --> 01:12:49,310
2423
+ ู†ุงุฎุฏ ุงู„ู†ุธุฑูŠุฉ ุงู„ุฃูˆู„ู‰ ูŠู‚ูˆู„ if Y1 and Y2 are two
2424
+
2425
+ 607
2426
+ 01:12:49,310 --> 01:12:50,390
2427
+ solutions
2428
+
2429
+ 608
2430
+ 01:13:13,920 --> 01:13:24,610
2431
+ ุชุณุงูˆูŠ y double prime z p of tุฒูŠ ุฏูŠ Q of T Y ุจุฏู‡
2432
+
2433
+ 609
2434
+ 01:13:24,610 --> 01:13:36,050
2435
+ ุณุงูˆูŠ G of T ุจุฏู‡ ุณุงูˆูŠ G of T ูˆู‡ุฐู‡ ุณุงู…ุนูˆู†ูŠ ุงู„ู…ุนุงุฏู„ุฉ
2436
+
2437
+ 610
2438
+ 01:13:36,050 --> 01:13:56,600
2439
+ ุฑู‚ู… ูˆุงุญุฏ then ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸY1-Y2 is a solution of
2440
+
2441
+ 611
2442
+ 01:13:56,600 --> 01:14:06,690
2443
+ the homogeneous differential equationุงู„ู„ูŠ ู‡ูˆ ุงู„ L
2444
+
2445
+ 612
2446
+ 01:14:06,690 --> 01:14:13,870
2447
+ of Y ุจุฏู‡ ูŠุณุงูˆูŠ Y double prime ุฒุงูŠุฏ P of T ููŠ ุงู„ Y
2448
+
2449
+ 613
2450
+ 01:14:13,870 --> 01:14:19,950
2451
+ prime ุฒุงูŠุฏ ู„ P of T ููŠ ุงู„ Y ุจุฏู‡ ูŠุณุงูˆูŠ Zero ูˆุณู…ูŠู‡ุง
2452
+
2453
+ 614
2454
+ 01:14:19,950 --> 01:14:31,690
2455
+ ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ุงุชู†ูŠู† Also ูˆ ูƒุฐู„ูƒ if Y ูˆุงุญุฏ and Y
2456
+
2457
+ 615
2458
+ 01:14:31,690 --> 01:14:40,660
2459
+ ุงุชู†ูŠู† smallู‡ูˆ ู…ุฌู…ูˆุนุงุช ุญู„ูˆู„ ู…ุฌู…ูˆุนุงุช
2460
+
2461
+ 616
2462
+ 01:14:40,660 --> 01:14:49,620
2463
+ ุญู„ูˆู„
2464
+
2465
+ 617
2466
+ 01:14:49,620 --> 01:15:00,000
2467
+ ู…ุฌู…ูˆุนุงุช ุญู„ูˆู„ ู…ุฌู…ูˆุนุงุช ุญู„ูˆู„ ู…ุฌู…ูˆุนุงุช
2468
+
2469
+ 618
2470
+ 01:15:22,390 --> 01:15:23,790
2471
+ Y1Y2Y1Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2Y2
2472
+
2473
+ 619
2474
+ 01:15:25,650 --> 01:15:34,290
2475
+ ุญูŠุซ C1 and C2
2476
+
2477
+ 620
2478
+ 01:15:34,290 --> 01:15:40,090
2479
+ are constants ูŠุจู‚ู‰ ุฏูˆู„ ุซุงุจุช
2480
+
2481
+ 621
2482
+ 01:16:00,210 --> 01:16:13,590
2483
+ ุงู„ู†ุธุฑูŠุฉ ุจุชู‚ูˆู„ ู„ูˆ ุนู†ุฏูŠ capital Y1 ูˆ capital Y2 ู‡ู…
2484
+
2485
+ 622
2486
+ 01:16:13,590 --> 01:16:17,370
2487
+ ุญุงู„ูŠู† ู„ู…ู†ุŸ ู„ู„ู€ non homogeneous differential
2488
+
2489
+ 623
2490
+ 01:16:17,370 --> 01:16:24,430
2491
+ equationุทูŠุจ ู‡ุฐุง ู…ุง ู‚ุทุนุช ูŠุจู‚ู‰ then ุงู„ูุฑู‚ ููŠ ู…ุง
2492
+
2493
+ 624
2494
+ 01:16:24,430 --> 01:16:28,270
2495
+ ุจูŠู†ู‡ู…ุง ูŠุนู†ูŠ ุงู„ูุฑู‚ ู…ุง ุจูŠู† ุงู„ุญุงู„ูŠู† ุชุจุนูŠู† ุงู„ non
2496
+
2497
+ 625
2498
+ 01:16:28,270 --> 01:16:34,550
2499
+ homogeneous ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุญู„ ุงู„ homogeneous ุญุงู„ูŠู† ู„ู„
2500
+
2501
+ 626
2502
+ 01:16:34,550 --> 01:16:38,870
2503
+ non homogeneous ุงู„ูุฑู‚ ุจูŠู†ู‡ู…ุง ู‡ูˆ ุญู„ ุงู„ homogeneous
2504
+
2505
+ 627
2506
+ 01:16:38,870 --> 01:16:43,170
2507
+ differential equationูŠุนู†ูŠ ู„ูˆ ูƒุงู† g of t ุจู‚ุฏุงุด ุจ
2508
+
2509
+ 628
2510
+ 01:16:43,170 --> 01:16:48,810
2511
+ zero ู‡ุฐุง ุงู„ู…ุทู„ูˆุจ ุงู„ุฃูˆู„ ู‚ุงู„ also ูˆ ูƒุฐู„ูƒ ู„ูˆ ูƒุงู† y1
2512
+
2513
+ 629
2514
+ 01:16:48,810 --> 01:16:52,250
2515
+ small ูˆ y2 small fundamental set of solutions
2516
+
2517
+ 630
2518
+ 01:16:52,250 --> 01:16:57,610
2519
+ ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ุงุชู†ูŠู† ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ูŠุจู‚ู‰ ุงู„ y ูˆุงุญุฏ ูˆ
2520
+
2521
+ 631
2522
+ 01:16:57,610 --> 01:17:01,210
2523
+ y ุงุชู†ูŠู† ู…ุงุฏุงู… ุญู„ ุจุฏูŠ ูŠูƒูˆู†ูˆุง ุนู„ู‰ ุงู„ุดูƒู„ c ูˆุงุญุฏ y
2524
+
2525
+ 632
2526
+ 01:17:01,210 --> 01:17:04,610
2527
+ ูˆุงุญุฏ ุฒุงุฏ c ุงุชู†ูŠู† y ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ general
2528
+
2529
+ 633
2530
+ 01:17:04,610 --> 01:17:08,970
2531
+ solution ู„ู…ู† ุงู„ differential equation ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ
2532
+
2533
+ 634
2534
+ 01:17:08,970 --> 01:17:14,510
2535
+ ุนู†ุฏู†ุงู‡ุฐู‡ ุงู„ุนุฌูŠู„ุฉ ุงู„ุจุฑู‡ุฉ ูŠุจู‚ู‰ ู„ุงู† ุงู†ุง ู„ุฏูŠ ู…ุนุงุฏู„ุฉ
2536
+
2537
+ 635
2538
+ 01:17:14,510 --> 01:17:21,130
2539
+ ุชูุงุถู„ูŠุฉ ูˆู„ู‡ุง ุญู„ุงู† ุฅุฐุง ุงู„ุญู„ุงู† ุงู„ุงุชู†ูŠู† ู‡ุฐูˆู„ ุจูŠุญู‚ู‚ูˆุง
2540
+
2541
+ 636
2542
+ 01:17:21,130 --> 01:17:27,470
2543
+ ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ since ุจู…ุง ุฃู†
2544
+
2545
+ 637
2546
+ 01:17:27,470 --> 01:17:40,430
2547
+ Y1 ูˆY2 are two solutions of the
2548
+
2549
+ 638
2550
+ 01:18:04,550 --> 01:18:05,950
2551
+ Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1Y1
2552
+
2553
+ 639
2554
+ 01:18:07,860 --> 01:18:19,390
2555
+ ุงู„ู€ L of Y2 ูŠุณุงูˆูŠ ูƒุฐู„ูƒ G of TูŠุนู†ูŠ ุงู„ differential
2556
+
2557
+ 640
2558
+ 01:18:19,390 --> 01:18:23,550
2559
+ linear operator ู„ู…ุง ูŠุฃุซุฑ ุนู„ู‰ ุงู„ุญู„ ุงู„ุฃูˆู„ ุจุฏู‡ ูŠุณุงูˆูŠ
2560
+
2561
+ 641
2562
+ 01:18:23,550 --> 01:18:28,150
2563
+ G of T ูˆูƒุฐู„ูƒ ู„ู…ุง ูŠุฃุซุฑ ุนู„ู‰ ุงู„ุญู„ ุงู„ุชุงู†ูŠ ุจุฏู‡ ูŠุณุงูˆูŠ G
2564
+
2565
+ 642
2566
+ 01:18:28,150 --> 01:18:34,370
2567
+ of T ุทูŠุจ ุชุนุงู„ู‰ ู†ุดูˆู ุงู„ linear operator ู„ูˆ ุฃุซุฑ ุนู„ู‰
2568
+
2569
+ 643
2570
+ 01:18:34,370 --> 01:18:41,510
2571
+ capital Y1 ู†ุงู‚ุต capital Y2 ุดูˆ ุจุฏู‡ ูŠุนุทูŠู†ุงุŸุงู„ุงู† ู‡ุฐุง
2572
+
2573
+ 644
2574
+ 01:18:41,510 --> 01:18:47,670
2575
+ linear ู…ุงุฏุงู… linear ุฅุฐุง ุจุฏู‡ ูŠุคุฏูŠ ุงู„ุบุฑุงุจ ุงู„ู…ุทู„ูˆุจ
2576
+
2577
+ 645
2578
+ 01:18:47,670 --> 01:18:55,790
2579
+ ู…ุงุดูŠ ูŠุง ุจู†ุง ู…ุงุนู†ุงุด ู…ุดูƒู„ุฉ ูŠุจู‚ู‰ L of Y1 minus Y2 ุจุฏู‡
2580
+
2581
+ 646
2582
+ 01:18:55,790 --> 01:19:02,370
2583
+ ูŠุณุงูˆูŠ ู‡ุฐุง ุงู„ุขู† ู…ุคุซุฑ ุฎุงุทูŠ ู…ุงุฏุงู… ู…ุคุซุฑ ุฎุงุทูŠ ุฅุฐุง ุจู‚ุฏุฑ
2584
+
2585
+ 647
2586
+ 01:19:02,370 --> 01:19:09,410
2587
+ ุฃู‚ูˆู„ L of Y1 ู†ุงู‚ุต L of Y2
2588
+
2589
+ 648
2590
+ 01:19:11,520 --> 01:19:19,660
2591
+ ุทูŠุจ ู‡ุฐุง ู„ูŠุด since ุงู„ L is linear ู„ูƒู† ู„ูˆ ู…ุงูƒู†ุด
2592
+
2593
+ 649
2594
+ 01:19:19,660 --> 01:19:23,840
2595
+ linear ู…ุงู‚ุฏุฑุด ุงูƒุชุจ ุงู„ุดูƒู„ ู‡ุฐุง ู…ู†ู‡ุง ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู…
2596
+
2597
+ 650
2598
+ 01:19:23,840 --> 01:19:32,740
2599
+ ุจุฏูŠ ูŠุณุงูˆูŠ L of Y one ู‡ุงูŠ๏ฟฝ๏ฟฝ ุฌุฏูŠุด G of T ูˆุงู„ุชุงู†ูŠ G of
2600
+
2601
+ 651
2602
+ 01:19:32,740 --> 01:19:39,500
2603
+ T ูŠุจู‚ู‰ ุงู„ู†ุชูŠุฌุฉ ุฌุฏูŠุดูŠุจู‚ู‰ ุงุตุจุญ ูƒุฃู† y1 ู†ู‚ุต y2 ู‡ูˆ
2604
+
2605
+ 652
2606
+ 01:19:39,500 --> 01:19:44,520
2607
+ solution ู„ู…ูŠู† ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 2 ุงู„ู„ูŠ ุจุฏู‡ุง ุชุณุชูˆูŠ 0
2608
+
2609
+ 653
2610
+ 01:19:44,520 --> 01:19:53,860
2611
+ ูŠุจู‚ู‰ ุจุงู„ูŠ ุจู‚ูˆู„ ู„ู‡ this means that ู‡ุฐุง ูŠุนู†ูŠ ุงู† y1
2612
+
2613
+ 654
2614
+ 01:19:53,860 --> 01:19:59,840
2615
+ minus y2 is a solution
2616
+
2617
+ 655
2618
+ 01:20:10,660 --> 01:20:15,360
2619
+ ูŠุจู‚ู‰ ุงู„ูุฑู‚ ุจูŠู†ู…ุง ุจูŠู†ู‡ู… ู‡ูˆ ุญู„ ู…ูŠู† ู„ู„ homogenous
2620
+
2621
+ 656
2622
+ 01:20:15,360 --> 01:20:20,820
2623
+ differential equation ุฑู‚ู… ุงุชู†ูŠู†ุจู‚ูˆู„ูŠ ุงูŠุถุง ู„ูˆ ูƒุงู†
2624
+
2625
+ 657
2626
+ 01:20:20,820 --> 01:20:25,700
2627
+ ู‡ุฏูˆู„ ุจูŠูƒูˆู†ูˆู„ูŠ fundamental set of solutions ูŠุจู‚ู‰
2628
+
2629
+ 658
2630
+ 01:20:25,700 --> 01:20:34,960
2631
+ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ since ุจู…ุง ุงู† y1 and y2 form a
2632
+
2633
+ 659
2634
+ 01:20:34,960 --> 01:20:40,540
2635
+ fundamental set
2636
+
2637
+ 660
2638
+ 01:20:40,540 --> 01:20:45,460
2639
+ of solutions
2640
+
2641
+ 661
2642
+ 01:20:45,460 --> 01:20:47,560
2643
+ of
2644
+
2645
+ 662
2646
+ 01:20:48,590 --> 01:20:58,330
2647
+ The differential equation ุงุชู†ูŠู† The general
2648
+
2649
+ 663
2650
+ 01:20:58,330 --> 01:21:11,510
2651
+ solution is Y ุชุณุงูˆูŠ C1Y1 ุฒูŠ C2Y2
2652
+
2653
+ 664
2654
+ 01:21:14,540 --> 01:21:18,720
2655
+ ู…ุตุจูˆุฑ ูŠุจู‚ู‰ ู‡ุฏูˆู„ ุงุชู†ูŠู† ุจูŠูƒูˆู†ูˆู†ูŠ fundamental set of
2656
+
2657
+ 665
2658
+ 01:21:18,720 --> 01:21:21,660
2659
+ solution ู„ู„ู…ุนุงู„ุฌ ุฑู‚ู… ุงุชู†ูŠู† ูŠุจู‚ู‰ ุงู„ general
2660
+
2661
+ 666
2662
+ 01:21:21,660 --> 01:21:30,060
2663
+ solution ุจู„ุงุฌุฉ of equation ุงุชู†ูŠู† as ูŠุจู‚ู‰ ุนู„ู‰ ุงู„ุดูƒู„
2664
+
2665
+ 667
2666
+ 01:21:30,060 --> 01:21:36,440
2667
+ ุงู„ุชุงู„ูŠูŠุจู‚ู‰ ู‡ุฐุง ุดูƒู„ ุงู„ุญู„ ุงู„ุนุงู… ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 2 ูŠุจู‚ู‰
2668
+
2669
+ 668
2670
+ 01:21:36,440 --> 01:21:41,020
2671
+ ุจู†ุงุก ุนู„ูŠู‡ ุฃูŠ ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 2 ุจุฏูŠ ูŠูƒูˆู† ุนู„ู‰ ู…ูŠู†ุŸ
2672
+
2673
+ 669
2674
+ 01:21:41,020 --> 01:21:44,400
2675
+ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ู„ูƒู† ุงุญู†ุง ููŠ ุงู„ู…ุทู„ูˆุจ ุงู„ุฃูˆู„
2676
+
2677
+ 670
2678
+ 01:21:44,400 --> 01:21:50,000
2679
+ ุฃุซุจุชู†ุง ุงู† y1-y2 ู‡ูˆ ุนุจุงุฑุฉ ุนู† solution ู„ู„ู…ุนุงุฏู„ุฉ 2
2680
+
2681
+ 671
2682
+ 01:21:50,000 --> 01:21:55,450
2683
+ ุตุญูŠุญ ูˆู„ุง ู„ุงุŸ ุฅุฐุง ุงู„ y1-y2 ุจุฏูŠ ูŠุงุฎุฏ ู…ูŠู†ุŸุงู„ุดูƒู„ ู‡ุฐุง
2684
+
2685
+ 672
2686
+ 01:21:55,450 --> 01:22:01,230
2687
+ ูŠุจู‚ู‰ ุจู‚ู‰ ุจู‚ูˆู„ since ุจู…ุง ุฃู† capital Y1 minus
2688
+
2689
+ 673
2690
+ 01:22:01,230 --> 01:22:11,490
2691
+ capital Y2 is a solution of equation two we have
2692
+
2693
+ 674
2694
+ 01:22:12,290 --> 01:22:19,430
2695
+ ูŠุจู‚ู‰ ุจุฏ ูŠุตูŠุฑ capital Y1 ู†ุงู‚ุต capital Y2 ุจุฏ ูŠุณูˆู‰
2696
+
2697
+ 675
2698
+ 01:22:19,430 --> 01:22:28,130
2699
+ C1Y1 ุฒุงูŠุฏ C2Y2 ูˆู‡ูˆ ุงู„ู…ุทู„ูˆุจ ููŠ ุงู†ุง ูƒู…ุงู† ู†ุธุฑูŠุฉ ุชุงู†ูŠุฉ
2700
+
2701
+ 676
2702
+ 01:22:28,130 --> 01:22:33,370
2703
+ ุจุณ ุงุตุบุฑ ู…ู† ุงู„ู†ุธุฑูŠุฉ ู‡ุฐู‡ ูˆ ุจุชุนุชู…ุฏ ุนู„ูŠู‡ุง ู…ุจุงุดุฑุฉ
2704
+
2705
+ 677
2706
+ 01:22:44,980 --> 01:22:55,580
2707
+ ูŠุจู‚ู‰ ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู†ุธุฑูŠุฉ ุฑู‚ู… ุงุชู†ูŠู† theorem two ุจุชู‚ูˆู„
2708
+
2709
+ 678
2710
+ 01:22:55,580 --> 01:23:07,700
2711
+ ู…ุง ูŠุงุชูŠ let L of Y ุจุฏู‡ ุณุงูˆูŠ YW prime P of T ููŠ Y
2712
+
2713
+ 679
2714
+ 01:23:07,700 --> 01:23:14,580
2715
+ prime Q of T ููŠ YุจุฏูŠ ุฃุณุงูˆูŠ G of T ูˆ ู‡ุฐู‡ ุงู„ู„ูŠ
2716
+
2717
+ 680
2718
+ 01:23:14,580 --> 01:23:21,680
2719
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฑู‚ู… 1 ุชุจุนุช ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุจ a non
2720
+
2721
+ 681
2722
+ 01:23:21,680 --> 01:23:31,440
2723
+ homogeneous differential equation F
2724
+
2725
+ 682
2726
+ 01:23:31,440 --> 01:23:40,780
2727
+ capital Y of Tis a particular solution is a
2728
+
2729
+ 683
2730
+ 01:23:40,780 --> 01:23:46,060
2731
+ particular solution
2732
+
2733
+ 684
2734
+ 01:23:46,060 --> 01:23:55,620
2735
+ is a particular solution of the differential
2736
+
2737
+ 685
2738
+ 01:23:55,620 --> 01:24:02,500
2739
+ equation one and
2740
+
2741
+ 686
2742
+ 01:24:02,500 --> 01:24:12,580
2743
+ y oneูˆWhy too small are
2744
+
2745
+ 687
2746
+ 01:24:12,580 --> 01:24:15,720
2747
+ fundamental
2748
+
2749
+ 688
2750
+ 01:24:15,720 --> 01:24:19,920
2751
+ set
2752
+
2753
+ 689
2754
+ 01:24:19,920 --> 01:24:30,560
2755
+ of solutions of
2756
+
2757
+ 690
2758
+ 01:24:30,560 --> 01:24:34,220
2759
+ the homogeneous
2760
+
2761
+ 691
2762
+ 01:24:37,620 --> 01:24:44,400
2763
+ differential equation ุงู„ู‰ y double prime ุฒูŠุงุฏุฉ p
2764
+
2765
+ 692
2766
+ 01:24:44,400 --> 01:24:49,700
2767
+ of t ููŠ ุงู„ y prime ุฒูŠุงุฏุฉ q of t ููŠ ุงู„ y ุจุฏู‡ ูŠุณุงูˆูŠ
2768
+
2769
+ 693
2770
+ 01:24:49,700 --> 01:24:55,760
2771
+ ุฒูŠุฑูˆ ูˆู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ุงุชู†ูŠู† then the general
2772
+
2773
+ 694
2774
+ 01:24:55,760 --> 01:24:56,840
2775
+ solution
2776
+
2777
+ 695
2778
+ 01:25:05,060 --> 01:25:14,420
2779
+ the general solution of the differential equation
2780
+
2781
+ 696
2782
+ 01:25:14,420 --> 01:25:18,640
2783
+ one has the form
2784
+
2785
+ 697
2786
+ 01:25:34,530 --> 01:25:41,670
2787
+ C1Y1T C2Y2T YT
2788
+
2789
+ 698
2790
+ 01:26:06,310 --> 01:26:11,250
2791
+ ู…ุฑุฉ ุชุงู†ูŠุฉ ู†ุธุฑูŠุฉ ุจู†ุงุช ุฒู‰ ู…ุง ุชุดูˆููŠู† ุจุชุนุชู…ุฏ ุจุดูƒู„
2792
+
2793
+ 699
2794
+ 01:26:11,250 --> 01:26:15,550
2795
+ ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ู‰ ู‚ุจู„ู‡ุง ุจูŠู‚ูˆู„ ุงูุชุฑุถ ุงู†ู‡ ุนู†ุฏู‰
2796
+
2797
+ 700
2798
+ 01:26:15,550 --> 01:26:18,070
2799
+ non homogeneous differential equation ุงู„ู„ู‰ ู‡ู‰ one
2800
+
2801
+ 701
2802
+ 01:26:18,070 --> 01:26:25,250
2803
+ ู‡ุงุฏูŠู„ูˆ ูุฑุถุช ุงู† capital Y of T ู‡ูˆ ุญู„ ุฎุงุต particular
2804
+
2805
+ 702
2806
+ 01:26:25,250 --> 01:26:29,750
2807
+ solution ูŠุนู†ูŠ ุญู„ ุฎุงุต ู„ู…ู†ุŸ ู„ู„ homogenous
2808
+
2809
+ 703
2810
+ 01:26:29,750 --> 01:26:34,590
2811
+ differential equation 1 ูˆููŠ ู†ูุณ ุงู„ูˆู‚ุช ูƒุงู† Y1 ุตุบูŠุฑ
2812
+
2813
+ 704
2814
+ 01:26:34,590 --> 01:26:39,150
2815
+ ูˆ Y2 ุตุบูŠุฑ ุญุงู„ูŠู† ุงูˆ ุงุชู†ูŠู† ุจุดูƒู„ fundamental set of
2816
+
2817
+ 705
2818
+ 01:26:39,150 --> 01:26:41,330
2819
+ solutions ู„ู„ homogenous
2820
+
2821
+ 706
2822
+ 01:26:47,540 --> 01:26:52,220
2823
+ ูŠุจู‚ู‰ ุงู„ general solution ู„ู„ equation 1 ู…ุฌู…ูˆุนุฉ ุญู„
2824
+
2825
+ 707
2826
+ 01:26:52,220 --> 01:26:56,920
2827
+ ุงู„ homogenous ุงู„ุฎุงุต ูˆ ุญู„ ุงู„ non homogenous ูŠุจู‚ู‰ f
2828
+
2829
+ 708
2830
+ 01:26:56,920 --> 01:27:02,140
2831
+ of t ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุจูŠูƒูˆู† c1y1 ุฒูŠ c2 y2 ู‡ุฐุง
2832
+
2833
+ 709
2834
+ 01:27:02,140 --> 01:27:04,360
2835
+ ุญู„ ู…ู† ุงู„ homogenous
2836
+
2837
+ 710
2838
+ 01:27:14,220 --> 01:27:23,880
2839
+ ุจูŠุฑู‡ุงู† ุจุณูŠุท ุฌุฏุง ุจุฏูŠ ุงู‚ูˆู„ู‡ let phi of t and capital
2840
+
2841
+ 711
2842
+ 01:27:23,880 --> 01:27:31,040
2843
+ Y of T be two solutions
2844
+
2845
+ 712
2846
+ 01:27:31,040 --> 01:27:36,420
2847
+ of equation one
2848
+
2849
+ 713
2850
+ 01:27:38,940 --> 01:27:45,800
2851
+ ุฅุฐุง ุงู„ูุฑู‚ ููŠู…ุง ุจูŠู†ู‡ู…ุง ุญู„ ู…ูŠู† ู„ู„ู€ equation 2 ุจูˆุงุณุท
2852
+
2853
+ 714
2854
+ 01:27:45,800 --> 01:27:53,260
2855
+ ุงู„ู†ุธุฑูŠุฉ ุงู„ู„ูŠ ููˆู‚ุŒ ุตุญูŠุญ ูˆู„ุง ู„ุงุŸ ูŠุจู‚ู‰ ุจุงูŠThe first
2856
+
2857
+ 715
2858
+ 01:27:53,260 --> 01:28:00,560
2859
+ theorem ุจุงู„ู†ุธุฑูŠุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ู‰ ุฃุฎุฏู†ุงู‡ุง ุงู„ู„ู‰ ู‡ูˆ Phi
2860
+
2861
+ 716
2862
+ 01:28:00,560 --> 01:28:12,560
2863
+ of T ู†ุงู‚ุต capital Y of T is a solution of the
2864
+
2865
+ 717
2866
+ 01:28:12,560 --> 01:28:17,200
2867
+ differential equation two
2868
+
2869
+ 718
2870
+ 01:28:33,560 --> 01:28:38,880
2871
+ ุทุจ ูƒูˆูŠุณุŒ ุฅุฐุง ุงู„ูุฑู‚ ููŠ ู…ุง ุจูŠู†ู‡ู…ุง ู‡ูˆ ุญู„ ุงู„ equation
2872
+
2873
+ 719
2874
+ 01:28:38,880 --> 01:28:43,260
2875
+ 2ุŒ ุทุจ ุฏุงุฌุฑ ุงู„ equation 2 ู…ูŠู† ุงู„ general solution
2876
+
2877
+ 720
2878
+ 01:28:43,260 --> 01:28:49,060
2879
+ ุชุจุนู‡ุงุŸ ูˆ ุงูŠ ูˆุงุญุฏ ู‡ูˆ ุงู„ fundamental set of
2880
+
2881
+ 721
2882
+ 01:28:49,060 --> 01:28:53,080
2883
+ solutionsุŒ ู‚ุงู„ ู„ูŠ ู„ูˆ ูƒุงู† ูˆุงุญุฏ ูˆ ุงูŠ ูˆุงุญุฏุŒ ุจุงุฌูŠ
2884
+
2885
+ 722
2886
+ 01:28:53,080 --> 01:29:01,620
2887
+ ุจู‚ูˆู„ู‡ ู‡ู†ุง sense the fundamental set
2888
+
2889
+ 723
2890
+ 01:29:03,640 --> 01:29:17,280
2891
+ of solutions of equation ุงูˆ since y1
2892
+
2893
+ 724
2894
+ 01:29:17,280 --> 01:29:24,300
2895
+ and y2 since y1
2896
+
2897
+ 725
2898
+ 01:29:24,300 --> 01:29:32,220
2899
+ and y2 are fundamental set of solution of equation
2900
+
2901
+ 726
2902
+ 01:29:32,810 --> 01:29:42,690
2903
+ to the general solution
2904
+
2905
+ 727
2906
+ 01:29:42,690 --> 01:29:58,370
2907
+ of equation 2 is y ุชุณุงูˆูŠ c1 y1 ุฒูŠ c2 y2 ูŠุจู‚ู‰
2908
+
2909
+ 728
2910
+ 01:29:58,370 --> 01:30:02,790
2911
+ ุงู„ุณุงุนุฉุงู„ูุฑู‚ ููŠู‡ ู…ุง ุจูŠู† ู‡ุฏุง ุงู„ู„ูŠ ู‚ูˆู„ู†ุง solution ู„ู„
2912
+
2913
+ 729
2914
+ 01:30:02,790 --> 01:30:05,990
2915
+ equation ุงุชู†ูŠู† ูˆ ู‡ุฐุง ุงู„ general solution ูŠุจู‚ู‰
2916
+
2917
+ 730
2918
+ 01:30:05,990 --> 01:30:13,230
2919
+ ุงุชู†ูŠู† ู‡ุฏูˆู„ ูŠุจู‚ู‰ Phi of T ู†ุงู‚ุต capital Y of T ุจุฏูŠู‡
2920
+
2921
+ 731
2922
+ 01:30:13,230 --> 01:30:18,250
2923
+ ุณูˆู‰ C1Y1 ุฒุงุฆุฏ C2Y2
2924
+
2925
+ 732
2926
+ 01:30:19,250 --> 01:30:27,350
2927
+ ู†ุถูŠู ู…ูˆุฌุฉ ุจุงู„ุญู„ ู‡ุฐุง ู„ู„ุทุฑููŠู† ูŠุจู‚ู‰ ุจุตูŠุฑ Y of T C1 Y1
2928
+
2929
+ 733
2930
+ 01:30:27,350 --> 01:30:36,630
2931
+ ุฒุงุฆุฏ C2 Y2 ุฒุงุฆุฏ Y of T ู‡ุฐุง ุดูƒู„ main and non
2932
+
2933
+ 734
2934
+ 01:30:36,630 --> 01:30:47,150
2935
+ homogeneous ู‡ุฐุง is the solution of the non
2936
+
2937
+ 735
2938
+ 01:30:50,420 --> 01:30:59,520
2939
+ Homogenous Differential Equation 1 ู„ุญุฏ
2940
+
2941
+ 736
2942
+ 01:30:59,520 --> 01:31:02,620
2943
+ ู‡ู†ุง ุงุตุจู†ุง ุงูƒุชุฑ ู…ู† ู†ุธุฑูŠุงุชูƒ ู…ุงุนู†ุฏูŠุด ููŠ ู‡ุฐุง ุงู„
2944
+
2945
+ 737
2946
+ 01:31:02,620 --> 01:31:07,960
2947
+ section ูŠุจู‚ู‰ ู…ู† ุงู„ุฃู† ูุตุงุนุฏุง ู„ู…ุง ุจู†ุญู„ ู…ุซู„ุฉ non
2948
+
2949
+ 738
2950
+ 01:31:07,960 --> 01:31:13,020
2951
+ homogeneous differential equation ุจุฏ ู…ู† ุจุฏูŠ
2952
+
2953
+ 739
2954
+ 01:31:13,020 --> 01:31:18,510
2955
+ particular solutionูˆุจุฏูŠ ุงู„ุญู„ ุงู„ุนุงู… ู„ู„ homogenous
2956
+
2957
+ 740
2958
+ 01:31:18,510 --> 01:31:21,930
2959
+ differential equation ุจุฌู…ุน ุงู„ุญู„ูŠู† ุจูŠุนุทูŠู†ุง ุงู„ุญู„
2960
+
2961
+ 741
2962
+ 01:31:21,930 --> 01:31:25,570
2963
+ ุงู„ุนุงู… ู„ู„ non homogenous differential equation ูŠุจู‚ู‰
2964
+
2965
+ 742
2966
+ 01:31:25,570 --> 01:31:29,570
2967
+ ุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุจุฏู†ุง ู†ุจุฏุฃ ููŠ ุฃูˆู„ ุทุฑูŠู‚ุฉ
2968
+
2969
+ 743
2970
+ 01:31:29,570 --> 01:31:33,960
2971
+ ู…ู† ุทุฑู‚ ุงู„ุญู„Homogeneous differential equation ู‡ูŠ
2972
+
2973
+ 744
2974
+ 01:31:33,960 --> 01:31:38,520
2975
+ ุทุฑูŠู‚ุฉ ุงู„ู€ Undetermined coefficients ูˆุงู„ุทุฑูŠู‚ุฉ
2976
+
2977
+ 745
2978
+ 01:31:38,520 --> 01:31:42,860
2979
+ ุงู„ุซุงู†ูŠุฉ ุงู„ู‰ section 3-6 ุจู†ุณู…ูŠู‡ุง ุทุฑูŠู‚ุฉ ุงู„ variation
2980
+
2981
+ 746
2982
+ 01:31:42,860 --> 01:31:48,320
2983
+ of parameters ุชุบูŠูŠุฑ ุงู„ู…ุชุบูŠุฑุงุช ุฃูˆ ุงู„ูˆุณูŠุทุงุช ุงู„ู„ู‰
2984
+
2985
+ 747
2986
+ 01:31:48,320 --> 01:31:52,880
2987
+ ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ูู‰ ุงู„ู…ุณุฃู„ุฉ ุงู„ Undetermined coefficients
2988
+
2989
+ 748
2990
+ 01:31:52,880 --> 01:31:57,600
2991
+ ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุงู„ู„ู‰ ุงู„ู…ุนุงู…ู„ุงุช
2992
+
2993
+ 749
2994
+ 01:31:57,600 --> 01:32:01,880
2995
+ ุชุจุนุชู‡ุง ุซุงุจุชุฃู…ุง ุงู„ variation ุงู„ู…ุนุงู…ู„ุงุช ู„ูŠุณุช
2996
+
2997
+ 750
2998
+ 01:32:01,880 --> 01:32:05,920
2999
+ ุจุงู„ุถุฑูˆุฑุฉ ุฃู† ุชูƒูˆู† ุซูˆุงุจุชุŒ ุซูˆุงุจุช ู…ุงุดูŠ ู…ุงู‡ูŠุงุด ุซูˆุงุจุชุŒ
3000
+
3001
+ 751
3002
+ 01:32:05,920 --> 01:32:09,100
3003
+ ู…ุงุดูŠ ูุงู„ู…ุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุนุงู„ู‰
3004
+
PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/QjmVIa7skBA_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/VYRFN1d1OwA_postprocess.srt ADDED
@@ -0,0 +1,3036 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:09,580 --> 00:00:15,870
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุจู†ุฐูƒุฑ ุจุงู„ุงุฎุฑ ู†ุธุฑูŠุฉ ู‚ูˆู„ู†ุงู‡ุง
4
+
5
+ 2
6
+ 00:00:15,870 --> 00:00:20,070
7
+ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุฉ ู„ุฅู†ู‡ ุจู†ุจุฏุฃ ุฏุฑุงุณุชู†ุง ุนู„ูŠู‡ุง ุงู„ูŠูˆู… ุนู„ู‰
8
+
9
+ 3
10
+ 00:00:20,070 --> 00:00:26,090
11
+ ุงู„ู†ุธุฑูŠุฉ ุงู„ู…ุงุถูŠุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชุจุงุฑูƒ ูˆุชุนุงู„ู‰ ุทุจุนุง
12
+
13
+ 4
14
+ 00:00:26,090 --> 00:00:29,450
15
+ ู…ูˆุถูˆุนู†ุง ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ non homogeneous
16
+
17
+ 5
18
+ 00:00:29,450 --> 00:00:33,030
19
+ differential equation ุจู†ุญู„ู‡ุง ุจุทุฑูŠู‚ุฉุงู„ู€
20
+
21
+ 6
22
+ 00:00:33,030 --> 00:00:38,230
23
+ undetermined coefficients ูŠุนู†ูŠ ุงู„ู…ุนุงู…ู„ุงุช ุงู„ู…ุฌู‡ูˆู„ุฉ
24
+
25
+ 7
26
+ 00:00:38,230 --> 00:00:43,270
27
+ ุชู…ุงู…ุŸ ุขุฎุฑ ู†ุธุฑูŠุฉ ู‚ู„ู†ุงู‡ุง ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุฃู†ู‡ ู„ูˆ ุนู†ุฏูŠ
28
+
29
+ 8
30
+ 00:00:43,270 --> 00:00:49,910
31
+ non-homogeneous differential equation ู…ุซู„ ู‡ุฐู‡ ู…ุซู„ุง
32
+
33
+ 9
34
+ 00:00:49,910 --> 00:00:53,510
35
+ ูƒูˆูŠุณ second order non-homogeneous differential
36
+
37
+ 10
38
+ 00:00:53,510 --> 00:00:58,420
39
+ equationูŠุจู‚ู‰ ุงู„ุญู„ ุจุชุจุนู‡ุง ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ู‚ุงุชู‰
40
+
41
+ 11
42
+ 00:00:58,420 --> 00:01:02,960
43
+ ุจุงุฎุฏ ุงู„ homogeneous ุจุฌูŠุจ ุงู„ุญู„ูŠู† ุชุจุนุงุช ุงู„
44
+
45
+ 12
46
+ 00:01:02,960 --> 00:01:07,800
47
+ homogeneous ูŠุจู‚ู‰ Y1 ูˆ Y2 ูŠุจู‚ู‰ ุญู„ ุงู„ homogeneous ู‡ูŠ
48
+
49
+ 13
50
+ 00:01:07,800 --> 00:01:14,420
51
+ C1Y1 ุฒูŠ C2Y2 ูˆ ุจุฑูˆุญ ุจุงุฎุฏ ุงู„ particular solution
52
+
53
+ 14
54
+ 00:01:14,420 --> 00:01:18,040
55
+ ุงู„ุญู„ ุงู„ุฎุงุต ู„ู„ non homogeneous differential
56
+
57
+ 15
58
+ 00:01:18,040 --> 00:01:22,760
59
+ equation ุจุฌู…ุน ุงุชู†ูŠู† ู…ุน ุจุนุถ ุจูŠูƒูˆู† ู‡ุฐุง ู‡ูˆ ุงู„ุญู„ ุชุจุน
60
+
61
+ 16
62
+ 00:01:22,760 --> 00:01:26,100
63
+ ู…ูŠู†ุชุงุจุน ุงู„ู€ Non-homogeneous differential equation
64
+
65
+ 17
66
+ 00:01:26,350 --> 00:01:30,650
67
+ ู‡ุฐุง ู…ุง ุงุซุจุชู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ููŠ ู†ุธุฑูŠุฉ ุฑู‚ู… 2 ู…ู†
68
+
69
+ 18
70
+ 00:01:30,650 --> 00:01:36,370
71
+ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ูŠุนู†ูŠ ูƒู„ุงู…ู†ุง ุงู„ุงู† ู‡ูˆ ุชุทุจูŠู‚ ุนู„ู‰ ู†ุธุฑูŠุฉ
72
+
73
+ 19
74
+ 00:01:36,370 --> 00:01:41,970
75
+ ุฑู‚ู… 2 ุงุจู†ุฌูŠ ู„ู‚ุตุฉ 8 ุทุฑูŠู‚ุฉ ุงู„ undetermined
76
+
77
+ 20
78
+ 00:01:41,970 --> 00:01:45,410
79
+ coefficients ูŠุนู†ูŠ ูƒูŠู ุจุฏู‡ุง ุชูƒูˆู† ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุจู†ู‚ูˆู„
80
+
81
+ 21
82
+ 00:01:45,410 --> 00:01:51,230
83
+ ู…ุง ูŠุงุชูŠ ุงุจู†ุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุฅุฐุง ุชุญู‚ู‚ ููŠ ุงู„ู…ุนุงุฏู„ุฉ
84
+
85
+ 22
86
+ 00:01:51,230 --> 00:01:58,240
87
+ ุงู„ุชูุงุถู„ูŠุฉ ุดุฑุทุงู†ุงู„ุดุฑุท ุงู„ุฃูˆู„ ุฃู† ุงู„ู…ุนุงู…ู„ุงุช ูƒุงู†ุช ุซูˆุงุจุช
88
+
89
+ 23
90
+ 00:01:58,240 --> 00:02:04,320
91
+ ุงู„ A ูˆุงู„B ูˆุงู„C ุซูˆุงุจุช ูˆู„ูŠุณ ุงู„ุฏูˆุงู„ ููŠ T ุงู„ุดุฑุท ุงู„ุชุงู†ูŠ
92
+
93
+ 24
94
+ 00:02:04,320 --> 00:02:10,200
95
+ ู„ุงุฒู… G of T ุชุจู‚ู‰ ุนู„ู‰ ุดูƒู„ ู…ุนูŠู† ู…ุด ุญูŠุงู„ ุงู„ู„ู‡ ุฃูŠ ุฏุงู„ุฉ
96
+
97
+ 25
98
+ 00:02:11,000 --> 00:02:16,560
99
+ ูŠุจู‚ู‰ g of t and the function g of t has a special
100
+
101
+ 26
102
+ 00:02:16,560 --> 00:02:21,460
103
+ form ุดูƒู„ ุฎุงุต ูƒู…ุง ู‡ูˆ ุจูŠู† ููŠ ุงู„ุฌุฏูˆู„ ูˆุงู„ุงู† ุจู†ูˆุถุญ
104
+
105
+ 27
106
+ 00:02:21,460 --> 00:02:25,680
107
+ ุงู„ุฌุฏูˆู„ ูŠุจู‚ู‰ ุทุฑูŠู‚ุฉ ุงู„ undetermined coefficients
108
+
109
+ 28
110
+ 00:02:25,680 --> 00:02:26,980
111
+ ุจุณุชุฎุฏู…ู‡ุง ููŠ
112
+
113
+ 29
114
+ 00:02:29,940 --> 00:02:35,000
115
+ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ูŠุฉ ูŠุนู†ูŠ ุฅุฐุง ุชุญู‚ู‚ ุดุฑุทุงู† ุงู„ุดุฑุท ุงู„ุฃูˆู„
116
+
117
+ 30
118
+ 00:02:35,000 --> 00:02:40,960
119
+ ุงู† ุงู„ู…ุนุงู…ู„ุงุช ุชุจุน Y'' ูˆY'' ูˆY ุซูˆุงุจุช ูŠุนู†ูŠ ุงู„ A ูˆุงู„B
120
+
121
+ 31
122
+ 00:02:40,960 --> 00:02:45,840
123
+ ูˆุงู„C ุซูˆุงุจุช ุงู„ุดุฑุท ุงู„ุซุงู†ูŠ ุงู† G of T ุจุฏุฃ ุชุจู‚ู‰ ุนู„ู‰ ุดูƒู„
124
+
125
+ 32
126
+ 00:02:45,840 --> 00:02:51,840
127
+ ู…ุนูŠู† ุณุคุงู„ู†ุง ู‡ูˆู…ุง ู‡ูˆ ุงู„ุดูƒู„ ุชุจุน g of t ุงู„ู„ู‰ ุจุชุทุจู‚
128
+
129
+ 33
130
+ 00:02:51,840 --> 00:02:55,280
131
+ ุนู„ูŠู‡ ุทุฑูŠู‚ุฉ ุงู„ undetermined coefficients ุงู„ู„ู‰ ุฌุงุจ
132
+
133
+ 34
134
+ 00:02:55,280 --> 00:02:58,840
135
+ ุนู„ู‰ ู‡ุฐุง ุงู„ุณุคุงู„ ู‡ูˆ ุงู„ุฌุฏูˆู„ ุงู„ู„ู‰ ุจูŠู† ุฅูŠุฏูŠูƒูˆุง ู‡ุฐุง
136
+
137
+ 35
138
+ 00:02:58,840 --> 00:03:04,360
139
+ ุงู„ุฌุฏูˆู„ ูŠุชู„ุฎุต ููŠ ู…ูŠุชูŠู‡ ู„ูˆ ูƒุงู† g of t ุนู„ู‰ ุฃูŠ ุดูƒู„ ู…ู†
140
+
141
+ 36
142
+ 00:03:04,360 --> 00:03:08,930
143
+ ุงู„ุฃุดูƒุงู„ุงู„ุชู„ุงุชุฉ ุงูˆ ุงู„ุงุฑุจุนุฉ ุงูˆ ุงู„ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ู†ุง ุงู†ุชูˆุง
144
+
145
+ 37
146
+ 00:03:08,930 --> 00:03:12,550
147
+ ุดุงูŠููŠู† ู‡ู… ุชู„ุงุชุฉ ู„ูƒู† ู‡ู… ุงูƒุชุฑ ูŠุจู‚ู‰ ุจุฏูŠ ูŠูƒูˆู† ุดูƒู„ ุงู„
148
+
149
+ 38
150
+ 00:03:12,550 --> 00:03:16,550
151
+ particular solution capital Y of T ุจุฏูŠ ูŠูƒูˆู† ุนู„ู‰
152
+
153
+ 39
154
+ 00:03:16,550 --> 00:03:18,490
155
+ ุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง
156
+
157
+ 40
158
+ 00:03:20,930 --> 00:03:26,430
159
+ ู†ุจู„ุบ ูˆุงุญุฏุŒ ู„ูˆ ูƒุงู†ุช G of T ูƒุซูŠุฑุฉ ุญุฏูˆุฏ ูู‚ุทุŒ ู…ู† ุฏุฑุฌุฉ
160
+
161
+ 41
162
+ 00:03:26,430 --> 00:03:30,010
163
+ ุงู„ุฃูˆู„ู‰ุŒ ู…ู† ุงู„ุชุงู†ูŠุฉุŒ ุงู„ุชุงู„ุชุฉุŒ ุงู„ุฑุงุจุนุฉุŒ ุฌุฏ ู…ุง ูŠูƒูˆู†ุŒ
164
+
165
+ 42
166
+ 00:03:30,010 --> 00:03:34,930
167
+ ูŠุจู‚ู‰ ุจุฏ ูŠูƒูˆู† ุดูƒู„ ุงู„ู€particular solution T to the
168
+
169
+ 43
170
+ 00:03:34,930 --> 00:03:41,590
171
+ power S ููŠ ูƒุซูŠุฑุฉ ุญุฏูˆุฏ ู…ุดุงุจู‡ุฉ ู„ู…ูŠู† ู„ูƒุซูŠุฑุฉ ุงู„ุญุฏูˆุฏุŒ
172
+
173
+ 44
174
+ 00:03:41,590 --> 00:03:45,470
175
+ ู„ุฃู† ู„ูƒ ุงู„ู…ุนุงู…ู„ุงุช ู…ุฎุชู„ูุฉุงู„ุจู†ูˆู†ูˆู…ูŠุงู„ ู…ู† ุงู„ุฏุฑุฌุฉ
176
+
177
+ 45
178
+ 00:03:45,470 --> 00:03:48,970
179
+ ุงู„ู†ูˆู†ูŠุฉ ุจุฌู‡ุฏูŠ ู…ู† ุฏุฑุฌุฉ ู†ูˆู†ูŠุฉ ู„ูƒูŠ ุงู„ู…ุนุงู…ู„ุงุช ู…ุง ู‡ูŠุด
180
+
181
+ 46
182
+ 00:03:48,970 --> 00:03:54,030
183
+ ู‡ูŠ ๏ฟฝ๏ฟฝูƒู† ูƒู„ู‡ุง ู…ุถุฑูˆุจุฉ ููŠ ู…ู†ุŸ ููŠ T to the power of S
184
+
185
+ 47
186
+ 00:03:54,030 --> 00:04:00,950
187
+ ูŠุงุด ุงู„ S ู‡ุฐู‡ุŸ ู‡ุฌุงูˆุจูƒูˆุง ุนู„ูŠู‡ุง ุจุนุฏ ู‚ู„ูŠู„ ุชู…ุงู…ุŸ ุงู„ ..
188
+
189
+ 48
190
+ 00:04:00,950 --> 00:04:06,150
191
+ ู†ู…ุฑ ุงุชู†ูŠู† ู„ูˆ ูƒุงู† ุจู†ูˆู†ูˆู…ูŠุงู„ ููŠ exponential ูŠุนู†ูŠ
192
+
193
+ 49
194
+ 00:04:06,150 --> 00:04:10,890
195
+ ุจู†ูˆู†ูˆู…ูŠุงู„ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ููŠ E ุฃุณ Alpha T ูŠุง
196
+
197
+ 50
198
+ 00:04:10,890 --> 00:04:17,090
199
+ ุจู†ุงุช ู…ุด Alpha N Alpha Tุทุจุนุง ูŠุจู‚ู‰ ุจุฏู‰ ูŠูƒูˆู† ุดูƒู„ ุงู„
200
+
201
+ 51
202
+ 00:04:17,090 --> 00:04:20,830
203
+ particular solution T to the power S ููŠ polynomial
204
+
205
+ 52
206
+ 00:04:20,830 --> 00:04:26,590
207
+ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ููŠ E ุฃุณ Alpha T ูŠุนู†ูŠ ู‡ู†ุง ุงู„
208
+
209
+ 53
210
+ 00:04:26,590 --> 00:04:29,050
211
+ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ุจุฏู‰ ุชูƒูˆู† ู‡ู†ุง ุงู„
212
+
213
+ 54
214
+ 00:04:29,050 --> 00:04:31,530
215
+ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ู„ูƒู† ุงู„ู…ุนุงู…ู„ุงุช ู…ุงู„ู‡ุง
216
+
217
+ 55
218
+ 00:04:31,530 --> 00:04:37,470
219
+ ู…ุฎุชู„ูุฉ ูู…ูŠู†ุŸ ููŠ ุงู„ X exponential E ุฃุณ Alpha T ู„ุฃู†
220
+
221
+ 56
222
+ 00:04:37,470 --> 00:04:43,020
223
+ ู‡ุฐุง ุจุงู„ุถุจุท ุชู…ุงู…ุง ูŠุจู‚ู‰ ุงูŠู‡ ูƒุงู… ุญุงู„ุฉุŸ ุญุงู„ุชูŠู†ูŠุจู‚ู‰
224
+
225
+ 57
226
+ 00:04:43,020 --> 00:04:46,320
227
+ ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ ู„ูˆ ูƒุงู†ุช
228
+
229
+ 58
230
+ 00:04:46,320 --> 00:04:52,560
231
+ ุญุงุตู„ ุถุฑุจ polynomial ููŠ exponential ููŠ cosine ูู‚ุท
232
+
233
+ 59
234
+ 00:04:52,560 --> 00:04:59,400
235
+ ุงูˆ polynomial ููŠ exponential ููŠ sin ูู‚ุท ุงูˆ
236
+
237
+ 60
238
+ 00:04:59,400 --> 00:05:03,760
239
+ polynomial ููŠ exponential ููŠ ู…ุฌู…ูˆุนุฉ ุงู„ sin ูˆ ุงู„
240
+
241
+ 61
242
+ 00:05:03,760 --> 00:05:08,660
243
+ cosine ุงูˆ ุงู„ูุฑู‚ ููŠ ู…ุง ุจูŠู†ู‡ู… ุงุชุฌู…ุน ูˆ ุทุฑุญ ุถุฑุจ ูˆ ู‚ุณู…
244
+
245
+ 62
246
+ 00:05:08,660 --> 00:05:15,220
247
+ ูŠุจุนุชู„ูƒ ุงู„ู„ู‡ูŠุตุญูˆุง ูŠุง ู„ูƒู„ ูˆุงุญุฏุฉ ู„ุญุงู„ู‡ู… ูŠุง ู…ุฌู…ูˆุนู‡ู… ุงูˆ
248
+
249
+ 63
250
+ 00:05:15,220 --> 00:05:19,640
251
+ ุทุฑุญู‡ู… ุงุชู†ูŠู† ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡ ู†ูุณ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡ ู…ุด ูƒู„
252
+
253
+ 64
254
+ 00:05:19,640 --> 00:05:23,240
255
+ ูˆุงุญุฏุฉ ุฒุงูˆูŠุฉ ุดูƒู„ ุงุฐุง ูƒุงู†ุช ูƒู„ ูˆุงุญุฏุฉ ุฒุงูˆูŠุฉ ุดูƒู„ ุงู„ุง
256
+
257
+ 65
258
+ 00:05:23,240 --> 00:05:28,120
259
+ ูƒู„ุงู… ุชุงู†ูŠ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐู‡ ูƒุงู… ุญุงู„ุฉ ุฑู‚ู… ุชู„ุงุชุฉ ุชู„ุช
260
+
261
+ 66
262
+ 00:05:28,120 --> 00:05:32,100
263
+ ุญุงู„ุฉ ูŠุจู‚ู‰ ุฏู‡ ุงู„ุฎู…ุณุฉ ุตุงุฑูˆุง ู…ุด ุชู„ุงุชุฉ ุชู…ุงู… ุฒูŠ ู…ุง
264
+
265
+ 67
266
+ 00:05:32,100 --> 00:05:36,640
267
+ ู‚ู„ู†ุงูƒู… ู‚ุจู„ ู‚ู„ูŠู„ ุดูˆ ุจุฏู‰ ูŠูƒูˆู† ุดูƒู„ ุงู„ุญู„ ุงูุชุฑุถ ู…ุงุนู†ุฏูŠุด
268
+
269
+ 68
270
+ 00:05:36,640 --> 00:05:41,890
271
+ ุงู„ุง ู‡ุฐุง ุงู„ู„ูŠ ููˆู‚ุจุงู„ู†ูˆู…ูŠุงู„ ููŠ exponential ููŠ cosine
272
+
273
+ 69
274
+ 00:05:41,890 --> 00:05:47,510
275
+ ุจุฏูŠูƒ ุชูƒุชุจ ุดูƒู„ ุงู„ Y of T ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ T to the
276
+
277
+ 70
278
+ 00:05:47,510 --> 00:05:51,690
279
+ power S ุจู„ู†ูˆู…ูŠุงู„ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ุฒูŠ ู…ุง ู‡ูŠ
280
+
281
+ 71
282
+ 00:05:51,690 --> 00:05:56,450
283
+ ุจู„ู†ูˆู…ูŠุงู„ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ููŠ cosine ุฒุงุฆุฏ ุจู„ู†ูˆู…ูŠุงู„
284
+
285
+ 72
286
+ 00:05:56,450 --> 00:06:00,150
287
+ ุฃุฎุฑู‰ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ู†ูˆู†ูŠุฉ ููŠ sine ููŠ ุงู„ exponential
288
+
289
+ 73
290
+ 00:06:00,150 --> 00:06:05,670
291
+ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช cosine ู„ุญุงู„ู‡ุง ุจุฏูŠูƒ ุชูƒุชุจ cosine ูˆ sine
292
+
293
+ 74
294
+ 00:06:06,220 --> 00:06:11,360
295
+ ูˆู„ูˆ ูƒุงู†ุช sign ู„ุญุงู„ู‡ุง ุจุฏูŠ ุงูƒุชุจ ุจูŠ ูƒู…ุงู† cosine ูˆ sin
296
+
297
+ 75
298
+ 00:06:11,360 --> 00:06:15,400
299
+ ูˆ ู„ูˆ ูƒุงู† ู…ุฌู…ูˆู‡ู… ุงูˆ ุงู„ูุฑู‚ ููŠ ุจูŠู†ู‡ู… ุจุฏูŠ ุงูƒุชุจ ูƒู…ุงู†
300
+
301
+ 76
302
+ 00:06:15,400 --> 00:06:18,420
303
+ cosine ูˆ sin ูˆ ูƒู„ ูˆุงุญุฏุฉ ู…ุถุฑูˆุจุฉ ููŠ polynomial ููŠ
304
+
305
+ 77
306
+ 00:06:18,420 --> 00:06:23,180
307
+ 100 ููŠ ุงู„ exponential ุฏูŠ ุฑุจุงู„ูƒ ู…ู† ุงู„ูƒู„ุงู… ู‡ุฐุง ุทุจ
308
+
309
+ 78
310
+ 00:06:23,180 --> 00:06:28,160
311
+ ุงูุชุฑุถ ู…ุงูƒุงู†ุด ุนู†ุฏูŠ ู…ุซู„ุง polynomial ุนู†ุฏูŠ exponential
312
+
313
+ 79
314
+ 00:06:28,160 --> 00:06:35,330
315
+ ููŠ cosineุจุฑุถู‡ ุจุฏูŠ ุงูƒุชุจ constant
316
+
317
+ 80
318
+ 00:06:35,330 --> 00:06:39,730
319
+ ููŠ cosine ุฒุงุฆุฏ constant ููŠ sine ููŠ ุงู„ exponential
320
+
321
+ 81
322
+ 00:06:39,730 --> 00:06:44,930
323
+ ูˆ ู‡ูƒุฐุง ูุจูุฑุถ ุงู„ exponential ู…ุงุนู†ุฏูŠุด ู…ุงุนู†ุฏูŠุด ุงู„ุง
324
+
325
+ 82
326
+ 00:06:44,930 --> 00:06:48,650
327
+ polynomial ููŠ cosine ุงูˆ sine ุจูƒู„ ุจุณุงุทุฉ ุจุดูŠู„ ุงู„
328
+
329
+ 83
330
+ 00:06:48,650 --> 00:06:52,150
331
+ exponential ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ูˆ ู‡ูƒุฐุงูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
332
+
333
+ 84
334
+ 00:06:52,150 --> 00:06:55,730
335
+ ุงู„ุชุงู„ุชุฉ ู…ู…ูƒู† ุงุชูุฑุน ู…ู†ู‡ุง ุจุฏู„ ุงู„ุญุงู„ุฉ ุนุดุฑุฉ ู…ุด ุงุฌุฏ
336
+
337
+ 85
338
+ 00:06:55,730 --> 00:06:59,470
339
+ ุงู„ุชู„ุงุชุฉ ูˆุงุญุฏ ุบุงูŠุจ ู…ุด ู…ุดูƒู„ุฉ ุจูŠุถู„ูˆุง ุงู„ุชู†ุชูŠู† ุงู„ุชุงู†ูŠุฉ
340
+
341
+ 86
342
+ 00:06:59,470 --> 00:07:04,730
343
+ ุชุฌูŠุจูŠ ูˆ ุจุฏูŠ ุงูƒุชุจ ุฒูŠู‡ู… ูˆ ู‡ูƒุฐุง ูˆุงุถุญ ูƒู„ุงู…ูŠุŸ ุทูŠุจ ู†ุฌูŠู†
344
+
345
+ 87
346
+ 00:07:04,730 --> 00:07:11,330
347
+ ู…ุง ู‡ูŠ ู‚ุตุฉ ุงู„ S ู‡ุฐู‡ ุชุนุงู„ู‰ ู†ุดูˆูู‡ุฐู‡ ู‡ูŠ ุงู„ู…ุนุงุฏู„ุฉ
348
+
349
+ 88
350
+ 00:07:11,330 --> 00:07:15,610
351
+ ุงู„ุฃุตู„ูŠุฉ ุงุฎุฐุช ุงู„ homogenous differential equation ูˆ
352
+
353
+ 89
354
+ 00:07:15,610 --> 00:07:21,630
355
+ ุทู„ุนุช ุงู„ุญุงู„ุชู‡ุง c1y1 ุฒุงุฆุฏ c2y2 ุฒุงุฆุฏ c2y2
356
+
357
+ 90
358
+ 00:07:25,430 --> 00:07:30,790
359
+ the non negative integer S ูŠุจู‚ู‰ ุงู„ S ู‡ุฐู‡ ุนุฏุฏ ุตุญูŠุญ
360
+
361
+ 91
362
+ 00:07:30,790 --> 00:07:35,650
363
+ ู…ูˆุฌุจ ู‚ุฏ ูŠูƒูˆู† ุตูุฑ ูˆ ู‚ุฏ ูŠูƒูˆู† ูˆุงุญุฏ ูˆ ู‚ุฏ ูŠูƒูˆู† ุงุชู†ูŠู†
364
+
365
+ 92
366
+ 00:07:35,650 --> 00:07:41,840
367
+ ูู‚ุท ู„ุบูŠุฑ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉู…ุงู„ู‡
368
+
369
+ 93
370
+ 00:07:41,840 --> 00:07:46,960
371
+ ุจูŠู‚ูˆู„ it's the smallest integer ุฃุตุบุฑ ุนุฏุฏ ุตุญูŠุญ such
372
+
373
+ 94
374
+ 00:07:46,960 --> 00:07:52,020
375
+ that ุจุญูŠุซ no term ู…ุงููŠุด ุนู†ุฏูŠ ูˆู„ุง ุญุฏ ููŠ ุงู„
376
+
377
+ 95
378
+ 00:07:52,020 --> 00:07:56,500
379
+ particular solution capital Y of T is a solution ู„
380
+
381
+ 96
382
+ 00:07:56,500 --> 00:08:00,580
383
+ ุงู„ homogeneous differential equation ุงู„ู…ู†ุงุธุฑุฉ ูŠุนู†ูŠ
384
+
385
+ 97
386
+ 00:08:00,580 --> 00:08:07,150
387
+ ุงูŠุดุŸ ูŠุนู†ูŠ ู„ู…ุง ู†ูƒุชุจ ุดูƒู„ ุงู„ุญู„ ุงู„ู„ูŠ ุนู†ุฏูŠ ู‡ุฐุงุจุฏูŠุด ูŠูƒูˆู†
388
+
389
+ 98
390
+ 00:08:07,150 --> 00:08:13,550
391
+ ูˆู„ุง term ููŠู‡ ุฒูŠ ุฃูŠ term ููŠ ุญู„ ุงู„ homogeneous ูŠุนู†ูŠ
392
+
393
+ 99
394
+ 00:08:13,550 --> 00:08:19,410
395
+ ุงุญู†ุง ุนู†ุฏู†ุง ุญู„ ุงู„ homogeneous ุงู„ู„ูŠ ู‡ูˆ c1y1 ุฒูŠ c2y2
396
+
397
+ 100
398
+ 00:08:19,410 --> 00:08:24,730
399
+ ูƒุงู… termุŸ termูŠู† ุจุฏูŠุด ูˆู„ุง term ู…ู† ุงู„ termูŠู† ู‡ุฏูˆู„
400
+
401
+ 101
402
+ 00:08:24,730 --> 00:08:31,510
403
+ ูŠุดุจู‡ ุงูŠ term ู…ู† ุงู„ termุงุช ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏูŠ ู‡ุฐุง ุทูŠุจ
404
+
405
+ 102
406
+ 00:08:31,510 --> 00:08:37,740
407
+ ุงูุชุฑุถ ูƒุงู† ููŠ ุชุดุงุจู‡ู‡ุฐู‡ ุงู„ุชุฑู…ุงุช ุชุจุนุงุช ุงู„ุญู„
408
+
409
+ 103
410
+ 00:08:37,740 --> 00:08:43,460
411
+ ุงู„ู‡ูˆู…ูˆุฌูŠู†ูŠุณ ูˆุงู„ู†ู‡ูˆู…ูˆุฌูŠู†ูŠุณ ุฅุฐุง ู…ุงููŠุด ุชุฑู… ูŠุดุจู‡ ุฃูŠ
412
+
413
+ 104
414
+ 00:08:43,460 --> 00:08:45,660
415
+ ุชุฑู… ุณุจุฒูŠุฑูˆ
416
+
417
+ 105
418
+ 00:08:46,870 --> 00:08:52,350
419
+ ู…ู† ุงู„ุจุฏุงูŠุฉ ู‚ุจู„ ู…ุง ู†ุดุชุบู„ ุทุจ ุฅุฐุง ู„ุฌูŠุช term ู‡ู†ุง ูŠุดุจู‡
420
+
421
+ 106
422
+ 00:08:52,350 --> 00:08:58,450
423
+ term ู‡ู†ุง automatic ุจุญุท s ุจู‚ุฏุงุด ุนู†ุฏู‡ ู‡ู†ุง ุจูˆุงุญุฏ ูˆ
424
+
425
+ 107
426
+ 00:08:58,450 --> 00:09:03,030
427
+ ุจุนุฏูŠู† ุจุทู„ุน ู„ู…ุง ู‚ู„ุช ุญุท s ุจูˆุงุญุฏ ุจุตูŠุฑ ู‡ุฐู‡ T ุฃุณ N plus
428
+
429
+ 108
430
+ 00:09:03,030 --> 00:09:07,450
431
+ one T ุฃุณ N ุฅู„ู‰ A N T
432
+
433
+ 109
434
+ 00:09:15,100 --> 00:09:18,420
435
+ ู‡ู„ ู‡ู†ุงูƒ ุชุดุงุจู‡ ุจูŠู† ุงู„ุทุฑููŠู† ุงูˆ ู„ุงุŸ ุงุฐุง ู„ู… ูŠูƒู† ู‡ู†ุงูƒ
436
+
437
+ 110
438
+ 00:09:18,420 --> 00:09:22,340
439
+ ุชุดุงุจู‡ ูุงู„ู„ู‡ ุงู„ู…ุคู…ู† ุงู„ู‚ุชุงู„ูŠ ูŠุจู‚ู‰ S ุจูˆุงุญุฏ ุงุฐุง ู„ุง
440
+
441
+ 111
442
+ 00:09:22,340 --> 00:09:27,460
443
+ ูŠุฒุงู„ ู‡ู†ุงูƒ ุชุดุงุจู‡ ูุงู†ุง ุจุญุท S ุจุฌุฏุงุด ุจุงุชู†ูŠู† ูŠุนู†ูŠ ุงุถุฑุจ
444
+
445
+ 112
446
+ 00:09:27,460 --> 00:09:32,950
447
+ ุงู„ุญู„ ุงู„ู„ูŠ ุนู†ุฏูŠ ููŠ T ุชุฑุจูŠุนุทุจุนุง ู…ู† ุญุฏ ู…ุฌุฑูˆู ูŠุชูŠู‡
448
+
449
+ 113
450
+ 00:09:32,950 --> 00:09:37,350
451
+ ุชุฑุจูŠุฉ ู„ุงูŠู…ูƒู† ูŠุชู„ุงู‚ูŠ term ููŠ ุงู„ particular solution
452
+
453
+ 114
454
+ 00:09:37,350 --> 00:09:42,790
455
+ ูŠุดุจู‡ ุฃูŠ term ููŠ ุงู„ุญู„ ุงู„ non homogeneous
456
+
457
+ 115
458
+ 00:09:42,790 --> 00:09:49,050
459
+ differential equation ู…ุงุดูŠ ูŠุง ุจู†ุงุช ูŠุจู‚ู‰ ู…ู† ุงู„ุฃู†
460
+
461
+ 116
462
+ 00:09:49,050 --> 00:09:53,790
463
+ ูุตุงุนุฏุง ุจุฏูŠ ุฃู„ุฎุต ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‚ู„ุชู‡ ู…ุฑุฉ ุซุงู†ูŠุฉ ุนุดุงู†
464
+
465
+ 117
466
+ 00:09:53,790 --> 00:09:57,840
467
+ ุงู„ู„ูŠ ุฃุฌูŠุจู‡ ุงู„ุชุฃุฎุฑุงุชู†ุญู„ ุงู„ู€ Non-homogeneous
468
+
469
+ 118
470
+ 00:09:57,840 --> 00:10:01,940
471
+ differential equation ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ู„ูŠ ุงู„ู…ุนุงู…ู„ุงุช
472
+
473
+ 119
474
+ 00:10:01,940 --> 00:10:07,160
475
+ ูƒู„ู‡ุง ุซูˆุงุจุช ูˆG of T ุนู„ู‰ ุฃูŠ ุดูƒู„ ู…ู† ุงู„ุฃุดูƒุงู„ ุงู„ุชู„ุงุชุฉ
476
+
477
+ 120
478
+ 00:10:07,160 --> 00:10:12,520
479
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ุชู…ุงู…ุŸ ู…ุด ุฃู†ุง ุญู„ ู‡ู‡ู‡ ุฃูˆู„ ู…ุง ุงุจุฏูˆุง
480
+
481
+ 121
482
+ 00:10:12,520 --> 00:10:16,600
483
+ ุจุงุทู„ุน ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุนู†ุฏู‰ ุงู„ู…ุนุงู…ู„ุงุช ุชุจุนุช ุซูˆุงุจุช
484
+
485
+ 122
486
+ 00:10:16,600 --> 00:10:20,700
487
+ ู…ุงุดูŠ ุงู„ุญุงู„ุนู† ุทุฑูŠู‚ ุฌูŠ ูˆู ุชูŠ ุจุฏูŠ ุงุชุทู„ุน ููŠู‡ุง ุงูŠ ุดูƒู„
488
+
489
+ 123
490
+ 00:10:20,700 --> 00:10:25,740
491
+ ู…ู† ุงู„ุฃุดูƒุงู„ ู‡ุฐู‡ ู…ูˆุฌูˆุฏ ุงุฐุง ุจู‚ุฏุฑ ุงุญู„ ุจุงู„ undetermined
492
+
493
+ 124
494
+ 00:10:25,740 --> 00:10:29,380
495
+ coefficients ุทูŠุจ ูƒูŠู ุจุฏูŠ ุงุณูˆูŠุŸ ุจุฏูŠ ุงุฎุฏ ุงู„
496
+
497
+ 125
498
+ 00:10:29,380 --> 00:10:32,040
499
+ homogeneous differential equation ุงู„ู„ูŠ ุนู†ุฏู‰ ู‡ุฐุง ููŠ
500
+
501
+ 126
502
+ 00:10:32,040 --> 00:10:36,870
503
+ ุงู„ุงูˆู„ ู‚ุจู„ ุงู„ู…ุจุฏุฃูˆ ุทู„ุน ุงู„ุญู„ ุชุจุนู‡ุง ุฒูŠ ู…ุง ูƒู†ุง ุจู†ุญู„ ููŠ
504
+
505
+ 127
506
+ 00:10:36,870 --> 00:10:41,390
507
+ ุงู„ sections ุงู„ู…ุงุถูŠุฉ repeated roots, unrepeated
508
+
509
+ 128
510
+ 00:10:41,390 --> 00:10:44,550
511
+ roots, complex roots ุฃูˆ complex conjugate roots
512
+
513
+ 129
514
+ 00:10:44,550 --> 00:10:48,110
515
+ ุชู…ุงู…ุŸ ุฌูŠุจู†ุง ุงู„ุญู„ ุจู†ุจุฑุฒ ูˆ ุจู†ู‚ูˆู„ ู„ู‡ ู‚ุนุฏ ุน ุงู„ุดุฌุฉ ู„ุณู‡
516
+
517
+ 130
518
+ 00:10:48,110 --> 00:10:51,970
519
+ ุจุฏู†ุง ู†ุฑุฌุนู„ูƒ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุฌูŠุจ ุดูƒู„ ุงู„ particular
520
+
521
+ 131
522
+ 00:10:51,970 --> 00:10:57,030
523
+ solution ุดูƒู„ ุงู„ particular solutionูŠุนุชู…ุฏ ุนู„ู‰ ุดูƒู„
524
+
525
+ 132
526
+ 00:10:57,030 --> 00:11:01,450
527
+ ุงู„ู€ G of TุŒ ุจุนุฏูŠู† ุจุทู„ุน ููŠ ุงู„ู€ G of TุŒ ู„ุฌูŠุชู‡ุง
528
+
529
+ 133
530
+ 00:11:01,450 --> 00:11:06,410
531
+ polynomial ุจุญุท T ุฃุณ S ููŠ polynomial ุฒูŠู‡ุงุŒ ุจุณ
532
+
533
+ 134
534
+ 00:11:06,410 --> 00:11:10,150
535
+ ุงู„ุซูˆุงุจุช ุจุตูŠุฑุŒ ูˆ ู…ุด ุงู„ุซูˆุงุจุช ุงู„ู„ูŠ ู‡ู†ุงูƒุŒ ุซูˆุงุจุช ุฅุฌุฏุงุฏุŒ
536
+
537
+ 135
538
+ 00:11:10,150 --> 00:11:17,260
539
+ ุชู…ุงู…ุŸ ูˆ ุจุนุฏูŠู† ุจุทู„ุน ู‡ู„ูƒู„ term ู‡ู†ุง ููŠู‡ ุดุจู‡ ู…ู† ุฃูŠ
540
+
541
+ 136
542
+ 00:11:17,260 --> 00:11:21,060
543
+ term ู…ู† ุญุงู„ุฉ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฏู‰ ูˆู„ุง ู„ุฃุŒ ุฅุฐุง ู…ุงููŠุด ุชุดุงุจู‡
544
+
545
+ 137
546
+ 00:11:21,060 --> 00:11:25,920
547
+ ุจู‚ูˆู„ู‡ S ุจ Zero ูˆุจุงู„ุชุงู„ูŠ ุจูƒูˆู† ุนู†ุฏูŠ ู‡ุฏู‰ ุงุถุทุฑุฑุช
548
+
549
+ 138
550
+ 00:11:25,920 --> 00:11:31,970
551
+ ุจุงู„ู…ุฑุฉ ูˆ ุจุถู„ ู‡ุฐุง ู‡ูˆ ุงู„ุญู„ุจุงู„ู…ุซู„ ู‡ู†ุง ูˆู‡ู†ุง ูˆู‡ู†ุง ุจุทูŠุฑ
552
+
553
+ 139
554
+ 00:11:31,970 --> 00:11:36,190
555
+ ุงู„ T to the power S ูˆุงู„ุจุงู‚ูŠ ุจุถู„ ู‡ูˆ ุงู„ุนู„ู… ุชู…ุงู…ุŸ
556
+
557
+ 140
558
+ 00:11:36,190 --> 00:11:40,950
559
+ ู„ุฌูŠุช ููŠู‡ ุชุดุงุจู‡ ุจู‚ูˆู„ ุงุณุชู†ู‰ ุดูˆูŠุฉ ุญุท S ุจูˆุงุญุฏ ูŠุจู‚ู‰
560
+
561
+ 141
562
+ 00:11:40,950 --> 00:11:45,710
563
+ ุจุตูŠุฑ ุงู† ุฏูŠ T ุฃุณ ูˆุงุญุฏ ูŠุนู†ูŠ T ุจุตูŠุฑ T ู…ุถุฑูˆุจุฉ ููŠ ุงู„
564
+
565
+ 142
566
+ 00:11:45,710 --> 00:11:51,010
567
+ polynomial ู‡ู†ุง ุงูˆ ู‡ู†ุง ุงูˆ ู‡ู†ุง ูˆ ู‡ู†ุงูŠุจู‚ู‰ ุตุงุฑ ุนู†ุฏูŠ
568
+
569
+ 143
570
+ 00:11:51,010 --> 00:11:55,090
571
+ ุนุฏุฉ ุชุฑู…ุฒูŠู† ุชู‚ุฑูŠุจุง ุชูŠูˆุฒ ุงู† ุฒุงุฏ ูˆุงุญุฏ ูˆ ุชูŠูˆุฒ ุงู† ูˆ
572
+
573
+ 144
574
+ 00:11:55,090 --> 00:12:01,190
575
+ ุชูŠูˆุฒ ุงู† ู†ู‚ุต ูˆุงุญุฏ ู„ุบุงูŠุฉ AN ููŠ T ูˆุจุนุฏูŠู† ุจุงุทู„ุฉ ู‡ู„ ุงูŠ
576
+
577
+ 145
578
+ 00:12:01,190 --> 00:12:05,710
579
+ term ุนู†ุฏูŠ ูŠุดุจู‡ ุงูŠ term ููŠ ุญู„ ุงู„ homogeneous ูˆู„ุง ู„ุง
580
+
581
+ 146
582
+ 00:12:06,300 --> 00:12:10,480
583
+ ุฅุฐุง ู…ุงููŠุด ุชุดุงุจู‡ ุฎู„ุงุต ุชู…ุงู… ูŠุจู‚ู‰ S ุจูˆุงุญุฏุŒ ุฅุฐุง ููŠ
584
+
585
+ 147
586
+ 00:12:10,480 --> 00:12:15,080
587
+ ุชุดุงุจู‡ ุจุญุท S ุจุงุชู†ูŠู†ุŒ ู…ู† ุงู„ุญุฏ ู…ุงุญุท S ุจุงุชู†ูŠู† ู…ุด
588
+
589
+ 148
590
+ 00:12:15,080 --> 00:12:23,000
591
+ ู‡ุชู„ุงู‚ูŠ ูˆู„ุง term ููŠ ุงู„ู„ูŠ ู‡ู†ุง ูŠุดุจู‡ ุฃูŠ term ู…ู† ู‡ู†ุงุจุนุฏ
592
+
593
+ 149
594
+ 00:12:23,000 --> 00:12:27,800
595
+ ุฐู„ูƒ ุจูŠุธู„ ุงู„ routine ูƒูŠู ุจุฏู†ุง ู†ุฌุฏ ุงู„ุซูˆุงุจุช ู‡ุฐุง ู…ุง
596
+
597
+ 150
598
+ 00:12:27,800 --> 00:12:35,120
599
+ ุณู†ุนุฑูู‡ ู„ูƒู… ู…ู† ุฎู„ุงู„ ุงู„ู…ุณุงุฆู„ ูŠุจู‚ู‰ ูŠุง ุจู†ุงุช ุนู…ูˆุฏ ููŠ
600
+
601
+ 151
602
+ 00:12:35,120 --> 00:12:39,660
603
+ ู‚ุฑูŠุฉ ุนู†ุฏูŠ ุงู† ุงุทู„ุนูŠู„ูŠ S ุงูˆู„ ุดูŠ ุจุฏูƒ ุงุชุญู„ ุงู„
604
+
605
+ 152
606
+ 00:12:39,660 --> 00:12:45,000
607
+ homogeneous ู‡ุฐู‡ ุจุนุฏ ุฐู„ูƒ ุจุฏูƒ ุงุทู„ุนูŠู„ูŠ ุดูƒู„ ุงู„ Sุฃู†ุง
608
+
609
+ 153
610
+ 00:12:45,000 --> 00:12:48,480
611
+ ูƒู…ุตุญู‰ ุฅุฐุง ุฌุจุชู„ูŠ ุงู„ S ุตุญูŠุญ ุจูˆุตูˆู„ ุนู„ูŠู‡ ุนุดุฑ ุฏุฑุฌุงุช ุจุญุท
612
+
613
+ 154
614
+ 00:12:48,480 --> 00:12:51,980
615
+ ู„ูƒ ุณุจุนุฉ ุนู„ู‰ ุญุงู„ ุงู„ homogenous ุฃูˆ ุนู„ู‰ ู‚ูŠู…ุฉ S ุตุญูŠุญ
616
+
617
+ 155
618
+ 00:12:51,980 --> 00:12:55,320
619
+ ุจุญุท ู„ูƒ ุณุจุนุฉ ุฏุฑุฌุงุช ูˆุงู„ุซู„ุงุซุฉ ุนู„ู‰ ุงู„ุดุบู„ ุงู„ุฑูˆุชูŠู†ูŠ ุจุณ
620
+
621
+ 156
622
+ 00:12:55,320 --> 00:12:59,440
623
+ ุงู„ู„ูŠ ุจุธู„ ุจุนุฏ ุฐู„ูƒ ุชู…ุงู…ุŸ ููŠ ุญุฏุง ููŠูƒู… ุงู„ู„ูŠ ุงูŠู‡ ุชุณุฃู„
624
+
625
+ 157
626
+ 00:12:59,440 --> 00:13:02,680
627
+ ููŠ ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‚ู„ุชู‡ ู‚ุจู„ู‡ ุฎู„ุงุต ู…ุงุนู†ุฏูŠุด ู†ุธุฑูŠ ุฎู„ุงุต
628
+
629
+ 158
630
+ 00:13:02,680 --> 00:13:06,900
631
+ ุจุฏู†ุงุด ู†ู†ู‚ุด ุนู„ู‰ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃู…ุซู„ุฉ ุญุฏุง ููŠูƒู… ุจุชุณุฃู„
632
+
633
+ 159
634
+ 00:13:06,900 --> 00:13:15,170
635
+ ุงูŠู‡ ุณุคุงู„ุŸ ุงู‡ ู…ุดุŸุงู„ูƒู„ุงู… ุงู„ู„ู‰ ู‚ู„ู†ุงู‡ ุจุฏู†ุง ู†ุฏุฎู„ู‡ ุนู„ู‰
636
+
637
+ 160
638
+ 00:13:15,170 --> 00:13:24,190
639
+ ุฃุฑุถ ุงู„ูˆุงู‚ุน ู…ู† ุฎู„ุงู„ ุงู„ุฃู…ุซู„ุฉ ุฃูˆู„ ู…ุซุงู„ examples ุฃูˆู„
640
+
641
+ 161
642
+ 00:13:24,190 --> 00:13:29,590
643
+ ู…ุซุงู„ ู…ู† ู‡ุฐู‡ ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ู‰ ู‡ูˆ ุณุคุงู„ 17 ู…ู† ุงู„ูƒุชุงุจ
644
+
645
+ 162
646
+ 00:13:29,590 --> 00:13:36,150
647
+ ุจูŠู‚ูˆู„ solve the initial value problem
648
+
649
+ 163
650
+ 00:13:56,300 --> 00:13:57,700
651
+ Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''
652
+
653
+ 164
654
+ 00:14:07,480 --> 00:14:11,140
655
+ ูŠุจู‚ู‰ ุงู‚ูˆู„ ุงู† ุงู†ุง ุงูˆู„ ุดุบู„ุฉ ุจุฏูŠ ุงุนู…ู„ู‡ุง ุจุฏูŠ ุงุญู„ ุงู„
656
+
657
+ 165
658
+ 00:14:11,140 --> 00:14:15,560
659
+ homogenous differential equation ู„ุฐู„ูƒ ุจุฑูˆุญ ุจู‚ูˆู„
660
+
661
+ 166
662
+ 00:14:15,560 --> 00:14:26,920
663
+ let Y ุชุณุงูˆูŠ E ู‚ุตุฉ RT ุจูŠู‡ solution of the
664
+
665
+ 167
666
+ 00:14:26,920 --> 00:14:33,380
667
+ homogenous differential equation
668
+
669
+ 168
670
+ 00:15:00,260 --> 00:15:01,660
671
+ Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''
672
+
673
+ 169
674
+ 00:15:01,900 --> 00:15:07,880
675
+ ูŠุจู‚ู‰ ุงุญู„ ุงู„ู‡ูˆู…ูˆุฌูŠู†ูŠุณ ู‡ุฏูŠู„ู‡ ุฑู…ุฒ ู…ู† ุงูŠู‡ ูŠุง ุจู†ุงุช Y ูˆ
676
+
677
+ 170
678
+ 00:15:07,880 --> 00:15:11,960
679
+ ุงุญุท ุชุญุชู‡ C ู…ุดุงู† ุงู…ูŠุฒู‡ ุนู† ุงู„ particular solution
680
+
681
+ 171
682
+ 00:15:11,960 --> 00:15:18,860
683
+ ูŠุจู‚ู‰ ู‡ู‚ูˆู„ Y complementary solution ุจุฏู‡ ูŠุณุงูˆูŠ C1
684
+
685
+ 172
686
+ 00:15:18,860 --> 00:15:27,820
687
+ Cos 2T ZC2 Sin 2T ูˆ ุจุฑูŠูˆุฒูŠู‡ ูˆ ู‚ูˆู„ู„ู‡ ุงุชุฑูŠุญ ุงูŠู‡ ุดูˆูŠุฉ
688
+
689
+ 173
690
+ 00:15:29,070 --> 00:15:32,970
691
+ ูŠุจู‚ู‰ ุฎู„ุตู†ุง ู…ู† ุญู„ู…ูŠุง ุงู„ homogenous differential
692
+
693
+ 174
694
+ 00:15:32,970 --> 00:15:37,350
695
+ equation ุงู„ู„ู‰ ุนู†ุฏู†ุง ุงู„ุงู† ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„ particular
696
+
697
+ 175
698
+ 00:15:37,350 --> 00:15:47,090
699
+ solution ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ the particular solution
700
+
701
+ 176
702
+ 00:15:47,090 --> 00:15:59,520
703
+ of the homogenius differential equation ุณู…ูŠู‡ุง ู„ูŠู‡ุง
704
+
705
+ 177
706
+ 00:15:59,520 --> 00:16:10,520
707
+ ุฏูŠ star star is capital Y of T ุจุฏู‡
708
+
709
+ 178
710
+ 00:16:10,520 --> 00:16:18,340
711
+ ูŠุณุงูˆูŠ T to the power S ููŠู†ุทู„ุน ููŠ ุดูƒู„ ู…ูŠู†ุŸ ููŠ ุดูƒู„
712
+
713
+ 179
714
+ 00:16:18,340 --> 00:16:25,460
715
+ ุงู„ู€G constant ููŠ ู…ูŠู†ุŸ ููŠ sign ุจุงุฌูŠ ุจุทู„ุน constant
716
+
717
+ 180
718
+ 00:16:25,460 --> 00:16:31,440
719
+ ูŠุง ุจู†ุงุชูŠ ูŠุนู†ูŠ ูŠุนุชุจุฑ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุตูุฑูŠุฉ
720
+
721
+ 181
722
+ 00:16:31,440 --> 00:16:36,650
723
+ ูŠุจู‚ู‰ ุจุฏู‡ ุฃุญุท ูƒุจุงู„ ูˆ constantุงุชู†ูŠู† ุนู†ุฏู†ุง ุตูŠู† ู„ูˆุญุฏู‡ุง
724
+
725
+ 182
726
+ 00:16:36,650 --> 00:16:43,210
727
+ ุตูŠู† ู„ูˆุญุฏู‡ุง ูŠุจู‚ู‰ ุจุฏูŠ ุงูƒุชุจ ู…ูŠู† ุตูŠู† ูˆ cosine ูŠุจู‚ู‰
728
+
729
+ 183
730
+ 00:16:43,210 --> 00:16:53,110
731
+ ุจุงุฌูŠ ุจู‚ูˆู„ ู„ู‡ ู‡ุฐู‡ A ููŠ ุตูŠู† ุงุชู†ูŠู† T ุฒุงุฆุฏ B ููŠ cosine
732
+
733
+ 184
734
+ 00:16:53,110 --> 00:16:58,850
735
+ ุงุชู†ูŠู† T ู…ุงุนู†ุฏูŠุด exponential ุจู„ู‡ุง ุงู„ exponential
736
+
737
+ 185
738
+ 00:16:58,850 --> 00:17:07,400
739
+ ุทูŠุจ ุจุงุฌูŠ ุจุทู„ุนุบุทูŠู„ูŠ ู‡ุฐู‡ ูƒุฃู†ู‡ุง ู…ุด ู…ูˆุฌูˆุฏุฉ ูˆุงุทู„ู„ูŠู„ูŠ ููŠ
740
+
741
+ 186
742
+ 00:17:07,400 --> 00:17:13,440
743
+ ุงู„ู…ู‚ุฏุงุฑ ุจูŠู† ุงู„ู‚ูˆุณูŠู† ููŠ ุชุดุงุจู‡ ุจูŠู† ุงู„ุญุงู„ูŠู† ู‡ุฏูˆู„ุŸ ุนูŠู†
744
+
745
+ 187
746
+ 00:17:13,440 --> 00:17:19,340
747
+ ุงู„ุชุดุงุจู‡ constant ููŠ cosine ูˆ constant ููŠ sine
748
+
749
+ 188
750
+ 00:17:19,340 --> 00:17:22,040
751
+ constant ููŠ sine ูˆ constant ููŠ cosine ุงุชู†ูŠู† ุงู„ุญู…ุฏ
752
+
753
+ 189
754
+ 00:17:22,040 --> 00:17:29,450
755
+ ู„ู„ู‡ู…ูˆุฌูˆุฏุฉ ุทูŠุจ ูŠุจู‚ู‰ S ู„ุงูŠู…ูƒู† ุงู† ุชุณุงูˆูŠ Zero ูŠุจู‚ู‰ S
756
+
757
+ 190
758
+ 00:17:29,450 --> 00:17:34,950
759
+ ุจุชูƒูˆู† ุจู‚ุฏุงุด ู„ูˆ ุญุทูŠุช S ุจูˆุงุญุฏ ุงูŠุด ุจูŠุตูŠุฑุŸ ู„ูˆ ุญุทูŠุช S
760
+
761
+ 191
762
+ 00:17:34,950 --> 00:17:41,410
763
+ ุจูˆุงุญุฏ ุจูŠุตูŠุฑ ู‡ู†ุง T ุจูŠุตูŠุฑ AT sine 2T ููŠ ุชุดุงุจู‡ ู…ู† ู‡ู†ุง
764
+
765
+ 192
766
+ 00:17:41,910 --> 00:17:48,310
767
+ ู„ุฃ ุจูŠุตูŠุฑ ู‡ู†ุง ุจูŠ ุชูŠ ูƒูˆุตูŠู† ุงุชู†ูŠู† ุช ููŠู‡ ุชุดุงุจู‡ ูŠุจู‚ู‰
768
+
769
+ 193
770
+ 00:17:48,310 --> 00:17:55,420
771
+ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ here ุงู„ S ุชุณุงูˆูŠ ูˆุงุญุฏS ุชุณุงูˆูŠ 1 ุชุฎู„ูŠ
772
+
773
+ 194
774
+ 00:17:55,420 --> 00:18:00,320
775
+ ู…ุงููŠุด ุชุดุงุจู‡ ุจู…ุจุฏู„ ุงู„ู…ู‚ุฏุงุฑูŠู† ุนู„ู‰ ุงู„ุฃุทู„ุงู‚ ูŠุจู‚ู‰ ุฃุตุจุญ
776
+
777
+ 195
778
+ 00:18:00,320 --> 00:18:09,700
779
+ capital Y of T ุจุฏูŠู‡ ูŠุณุงูˆูŠ A T sine 2T ุฒุงุฆุฏ B T
780
+
781
+ 196
782
+ 00:18:09,700 --> 00:18:18,580
783
+ cosine 2T ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ูˆุงุถุญุฉ ุฒู…ุงู†ุŸ ุฎู„ุงุตู†ุงุŸ
784
+
785
+ 197
786
+ 00:18:18,580 --> 00:18:24,690
787
+ ูŠุจู‚ู‰ ุนุงุฑูู†ุง ูƒูŠู ู†ุญุฏุฏ ุงู„ SุŸ ุจู‚ูˆู„ ูƒู…ุงู† ู…ุฑุฉูƒุชุจู†ุง ุดูƒู„
788
+
789
+ 198
790
+ 00:18:24,690 --> 00:18:29,890
791
+ ุงู„ Y ุช ุทุจู‚ุง ู„ู„ุฌุฏูˆู„ ุงู„ู„ู‰ ุนู†ุฏู†ุง ูŠุจู‚ู‰ ู„ู„ู†ู‚ุทุฉ ุฑู‚ู…
792
+
793
+ 199
794
+ 00:18:29,890 --> 00:18:35,370
795
+ ุชู„ุงุชุฉ ู…ู† ุงู„ุฌุฏูˆู„ ุจุนุฏู‡ุง ุจุงุฌูŠ ุจู‚ุงุฑู† ุงู„ู†ุชูŠุฌุฉ ุงู„ู„ู‰
796
+
797
+ 200
798
+ 00:18:35,370 --> 00:18:39,970
799
+ ุนู†ุฏู†ุง ู‡ู†ุง ุจุงู„ู†ุชูŠุฌุฉ ุฏู‰ ูู‰ ุชุดุงุจู‡ ูˆุงู„ู„ู‡ ู…ุงููŠุด ุจุนุฏ ู…ุง
800
+
801
+ 201
802
+ 00:18:39,970 --> 00:18:45,090
803
+ ุบุทูŠ ู‡ุฐู‡ ุงู‡ ุชู…ุงู… ุบุทูŠู†ุง ุช ุชุฏูˆุฑ S ุจูŠุธู„ ุงู„ู…ู‚ุฏุงุฑ ุจูŠู†
804
+
805
+ 202
806
+ 00:18:45,090 --> 00:18:49,280
807
+ ุงู„ู‚ูˆุณูŠู† ุงู‡ ูˆุงู„ู„ู‡ ูู‰ ุชุดุงุจู‡ ู…ุง ุจูŠู† ุงู„ุงุชู†ูŠู†ุนู†ุฏู…ุง ูŠูƒูˆู†
808
+
809
+ 203
810
+ 00:18:49,280 --> 00:18:54,140
811
+ ู‡ู†ุงูƒ ุชุดุงุจู‡ ูุงู†ุง ุงุถุน S ุจูˆุงุญุฏ ูˆุงู†ุชู‡ูŠู†ุง ู…ู† ุงู„ุชุดุงุจู‡
812
+
813
+ 204
814
+ 00:18:54,140 --> 00:18:59,780
815
+ ุจูŠู‚ูˆู„ ุงุถุน S ุจูˆุงุญุฏ ุณูŠุตุจุญ T ู…ุถุฑูˆุจุฉ ููŠ ุงู„ู…ู‚ุฏุงุฑ ู‡ุฐุง
816
+
817
+ 205
818
+ 00:18:59,780 --> 00:19:06,040
819
+ ูƒู„ู‡ ุณูŠุตุจุญ A T Sin 2 T ุฒูŠ B T Cos 2 ููŠู‡ ุชุดุงุจู‡ ู…ุง
820
+
821
+ 206
822
+ 00:19:06,040 --> 00:19:10,720
823
+ ุจูŠู† ุงูŠ term ู…ุงููŠุด ู„ูˆ ู„ุฌูŠู†ุง ุชุดุงุจู‡ ูˆ ู„ูˆ ููŠ term ูˆุงุญุฏ
824
+
825
+ 207
826
+ 00:19:10,720 --> 00:19:15,810
827
+ ูุงู†ุง ุงุถุน S ุจู‚ุฏุงุดุจุฅุซู†ูŠู† ู„ูƒู† ุงู„ุขู† ู…ุงููŠุด ุชุดุงุจู‡ ุฅุฐุง S
828
+
829
+ 208
830
+ 00:19:15,810 --> 00:19:21,690
831
+ ุนู†ุฏู‰ ุจูƒุงู…ุŸ ุจูˆุงุญุฏ ุตุญูŠุญ ุญุทูŠู†ุง S ุจูˆุงุญุฏ ุตุญูŠุญ ูŠุจู‚ู‰ L
832
+
833
+ 209
834
+ 00:19:21,690 --> 00:19:27,010
835
+ ุดูƒู„ ุงู„ particular solution ู„ู„ุดูƒู„ ุงู„ุชุงู„ูŠ AT sin
836
+
837
+ 210
838
+ 00:19:27,010 --> 00:19:33,550
839
+ ุงุชู†ูŠู† T ุฒุงุฆุฏ BT cosine ุงุชู†ูŠู† T ุฅุฐุง ุจู‚ุฏุฑ ุฃุฌูŠุจ ุงู„
840
+
841
+ 211
842
+ 00:19:33,550 --> 00:19:36,890
843
+ solution ุชุจุน ู…ู† ุงู„ differential equation ุงู„ู„ูŠ
844
+
845
+ 212
846
+ 00:19:36,890 --> 00:19:48,160
847
+ ุนู†ุฏู†ุงูŠุจู‚ู‰ ุจุงุฌูŠ ุจูŠู‚ูˆู„ู‡ the general solution is Y
848
+
849
+ 213
850
+ 00:19:48,160 --> 00:19:59,940
851
+ ูŠุณูˆู‰ C1 Y1 C2 Y2 ุฒุงุฏ capital Y of Tุฅุฐุง ุจุฏู‡ ูŠุตูŠุฑ Y
852
+
853
+ 214
854
+ 00:19:59,940 --> 00:20:11,920
855
+ ุชุณุงูˆูŠ C1 ููŠ mean ููŠ cosine 2T ุฒูŠ C2 ููŠ sin 2T ู‡ูŠู‡ู…
856
+
857
+ 215
858
+ 00:20:11,920 --> 00:20:25,690
859
+ ุฒูŠ ุดูƒู„ ู…ู† Y of Tุดูƒู„ A ุจุฏู†ุง ู†ุฌูŠุจ ุจุณ ุดูƒู„ ุงู„ A ูˆ ุงู„ B
860
+
861
+ 216
862
+ 00:20:25,690 --> 00:20:30,510
863
+ ูƒุฏู‡ ุดูˆ ุณุงูุฑ ุฎู„ูŠู‡ุง ุงู„ุฎุทูˆุฉ ุฏูŠ ุจู†ุฎู„ูŠู‡ุง ู„ู„ุงุฎุฑ ุจุนุฏ ู…ุง
864
+
865
+ 217
866
+ 00:20:30,510 --> 00:20:38,620
867
+ ุฌูŠุจ ุงู„ A ูˆ ุงู„ BูŠุจู‚ู‰ capital Y of T ุจุฏู‡ุง ุชุณุงูˆูŠ ุงู„ู„ูŠ
868
+
869
+ 218
870
+ 00:20:38,620 --> 00:20:42,840
871
+ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ A T sine ุฒุงุฆุฏ B T sine ุงุชู†ูŠู† ุฏูŠ ูƒุฏู‡
872
+
873
+ 219
874
+ 00:20:42,840 --> 00:20:48,800
875
+ ุจุฏู‡ ุงุฌูŠุจู‡ุง ูƒุชุงู„ูŠ ุจุฏุฑูˆุญ ุงุดุชู‚ู‡ุง ู…ุฑุชูŠู† ูˆ ุงุนูˆุถ ููŠ ุฑุงุณูŠ
876
+
877
+ 220
878
+ 00:20:48,800 --> 00:20:55,260
879
+ ุงู„ู…ุณุฃู„ุฉ ูุจุฌูŠุจ ุงู‚ูˆู„ู‡ ู‡ุงูŠ Y prime as a function of T
880
+
881
+ 221
882
+ 00:20:55,260 --> 00:21:00,440
883
+ ู‡ุฐู‡ ูŠุง ุจู†ุงุช ู…ุดุชู‚ุฉ ุญุตู„ ุถุฑุจ ุฏู„ุชูŠู† ูˆู‡ุฐู‡ ู…ุดุชู‚ุฉ ุญุตู„ ุถุฑุจ
884
+
885
+ 222
886
+ 00:21:00,440 --> 00:21:12,730
887
+ ุฏู„ุชูŠู†ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุตูŠุฑ a ููŠ sin 2t ุฒุงุฆุฏ 2at ููŠ cos 2t
888
+
889
+ 223
890
+ 00:21:12,730 --> 00:21:18,290
891
+ ูŠุจู‚ู‰ ุงู„ู„ูŠ ูƒุชุจุชู‡ ู‡ุฐุง ู…ุดุชู‚ุช ู…ู† ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰ ูƒุญุงุตู„
892
+
893
+ 224
894
+ 00:21:18,290 --> 00:21:32,680
895
+ ุถุฑุจ ุฏุงู„ุชูŠู† ุฒุงุฆุฏ b ููŠ cos 2t ู†ู‚ุต 2bt ููŠ sin 2tููŠ
896
+
897
+ 225
898
+ 00:21:32,680 --> 00:21:37,600
899
+ ุญุงุฌุฉ ุจู‚ุฏุฑ ุฃุฌู…ุนู‡ุง ู…ุน ุจุนุถ ุจู‚ุช ู„ูƒู„ู‡ุง ู„ุฅู† ู‡ู†ุง a sine
900
+
901
+ 226
902
+ 00:21:37,600 --> 00:21:43,740
903
+ ูˆุนู†ุฏูƒ ู‡ู†ุง t ููŠ sine ูˆุจุงู„ุชุงู„ูŠ ุงู†ุณู‰ ุงู„ู…ูˆุถูˆุน ุจุฏู†ุง
904
+
905
+ 227
906
+ 00:21:43,740 --> 00:21:50,220
907
+ ู†ุดุชุงู‚ ูƒู…ุงู† ู…ุฑุฉ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ y w prime as a
908
+
909
+ 228
910
+ 00:21:50,220 --> 00:21:55,300
911
+ function of t ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ ู„ู†ุดุชุงู‚
912
+
913
+ 229
914
+ 00:21:55,300 --> 00:22:00,780
915
+ ูŠุจู‚ู‰ 2a ููŠ cosine 2t
916
+
917
+ 230
918
+ 00:22:02,600 --> 00:22:10,100
919
+ ู‡ุฐู‡ ุงู„ู…ุดุชู‚ุฉ ุชุญุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงุชู†ูŠู† a ููŠ
920
+
921
+ 231
922
+ 00:22:10,100 --> 00:22:21,160
923
+ cosine ุงุชู†ูŠู† t ู…ุงู‚ุต ุงุฑุจุนุฉ a t ููŠ sin ุงุชู†ูŠู† tุฎู„ุตู†ุง
924
+
925
+ 232
926
+ 00:22:21,160 --> 00:22:26,800
927
+ ู…ุดุชู‚ุฉ ุงูˆู„ two terms ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู…ุดุชู‚ุฉ ุงู„ two terms
928
+
929
+ 233
930
+ 00:22:26,800 --> 00:22:35,800
931
+ ุงู„ุฃุฎุฑู‰ ูŠุจู‚ู‰ ู†ุงู‚ุต ุงุชู†ูŠู† ุจูŠ ููŠ sign ุงุชู†ูŠู† ุชู†ุฌูŠ ู‡ู†ุง
932
+
933
+ 234
934
+ 00:22:35,800 --> 00:22:47,440
935
+ ู†ุงู‚ุต ุงุชู†ูŠู† ุจูŠ ููŠ ุตูŠู† ุงุชู†ูŠู† ุชูŠ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูˆ ุงุฑุจุน ุจูŠ
936
+
937
+ 235
938
+ 00:22:47,440 --> 00:22:51,080
939
+ ุชูŠ ููŠ ูƒูˆุตูŠู† ุงุชู†ูŠู† ุชูŠ
940
+
941
+ 236
942
+ 00:22:55,900 --> 00:23:03,100
943
+ ู‡ุฐู‡ ู‡ูŠ ู†ูุณ ู‡ุฐู‡ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ูŠุจู‚ู‰ ู‡ุฐู‡ ุชุณุงูˆูŠ ุงุฑุจุนุฉ
944
+
945
+ 237
946
+ 00:23:03,100 --> 00:23:05,800
947
+ ุงูƒูˆ ุตูŠู† ุงุชู†ูŠู† T
948
+
949
+ 238
950
+ 00:23:10,480 --> 00:23:17,660
951
+ ู‡ุฐูˆู„ ุงู„ุชู†ุชูŠู† ูŠุจู‚ู‰ ู†ุงู‚ุต ุงุฑุจุนุฉ ุจูŠ ุตูŠู† ุงุชู†ูŠู† ุชูŠ ู†ุงู‚ุต
952
+
953
+ 239
954
+ 00:23:17,660 --> 00:23:24,340
955
+ ุงุฑุจุนุฉ ุจูŠ ุตูŠู† ุงุชู†ูŠู† ุชูŠ ุจู‚ู‰ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ูŠู†ุŸ ู‡ุฐู‡ ูˆ
956
+
957
+ 240
958
+ 00:23:24,340 --> 00:23:30,560
959
+ ู‡ุฐู‡ ู…ุงููŠุด ุจูŠู†ู‡ู… ุงูŠ ุดุบู„ุฉ ูŠุจู‚ู‰ ู†ุงู‚ุต ุงุฑุจุนุฉ ุง ุชูŠ ุตูŠู†
960
+
961
+ 241
962
+ 00:23:30,560 --> 00:23:39,520
963
+ ุงุชู†ูŠู† ุชูŠ ูˆู‡ู†ุง ู†ุงู‚ุต ุงุฑุจุนุฉ ุจูŠ ุชูŠ ููŠูƒูˆ ุตูŠู† ุงุชู†ูŠู† ุชูŠ
964
+
965
+ 242
966
+ 00:23:56,300 --> 00:24:01,700
967
+ ุงู„ุงู† ุจุนุฏ ู…ุง ุฌูŠุจู†ุง ุงู„ particular solution ุงู„ู…ุดุชู‚ุฉ
968
+
969
+ 243
970
+ 00:24:01,700 --> 00:24:05,840
971
+ ุงู„ุฃูˆู„ู‰ ู„ู„ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉ ุจุฏูŠ ุงุฑุฌุน ูˆ ุงูˆุถ ูˆูŠู† ููŠ
972
+
973
+ 244
974
+ 00:24:05,840 --> 00:24:10,460
975
+ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… start ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ substitute
976
+
977
+ 245
978
+ 00:24:19,610 --> 00:24:23,990
979
+ ูˆู†ุญุตู„ ุนู„ู‰ ูˆูŠ ุฏุงุจู„ูŠ ุจุฑุงูŠู…
980
+
981
+ 246
982
+ 00:24:29,420 --> 00:24:36,580
983
+ ูŠุจู‚ู‰ 4a cos 2t
984
+
985
+ 247
986
+ 00:24:36,580 --> 00:24:40,280
987
+ -4b
988
+
989
+ 248
990
+ 00:24:40,280 --> 00:24:42,620
991
+ sin 2t
992
+
993
+ 249
994
+ 00:24:53,690 --> 00:25:02,150
995
+ ู†ู‚ุต ุงุฑุจุนุฉ ุจูŠ ู†ู‚ุต ุงุฑุจุนุฉ ุจูŠ ุชูŠ ูƒูˆุตูŠู† ุงุชู†ูŠู† T ู‡ุฐุง ู…ู†
996
+
997
+ 250
998
+ 00:25:02,150 --> 00:25:09,170
999
+ ู‡ุฐุง Y ุถุงุจุฑ ุงู„ูุฑุงูŠุฉ ุจุฏูŠ ุงุฑุจุนุฉ Y ูˆูŠู† ุงู„ Y ู‡ูŠู‡ุงุจู†ุฑูˆุญ
1000
+
1001
+ 251
1002
+ 00:25:09,170 --> 00:25:15,570
1003
+ ุงุถุฑุจ ู‡ุฐู‡ ููŠ ู…ูŠู†ุŸ ููŠ ุงุฑุจุน ุจุงู„ู…ูˆุฌุฉ ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงุฑุจุนุฉ a
1004
+
1005
+ 252
1006
+ 00:25:15,570 --> 00:25:26,350
1007
+ t sine ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงุฑุจุนุฉ a t sine ุงุชู†ูŠู† t ูˆู‡ู†ุง ุฒุงุฆุฏ
1008
+
1009
+ 253
1010
+ 00:25:26,350 --> 00:25:35,810
1011
+ ุงุฑุจุนุฉ b t cosine ุงุชู†ูŠู† tุฃุชู†ูŠู† T ูƒู„ู‡ ุจุฏู‡ ูŠุณุงูˆูŠ
1012
+
1013
+ 254
1014
+ 00:25:35,810 --> 00:25:38,930
1015
+ ุชู„ุงุชุฉ
1016
+
1017
+ 255
1018
+ 00:25:38,930 --> 00:25:46,430
1019
+ sign ุงุชู†ูŠู† T ุชู…ุงู… ุชุนุงู„ูˆุง ู†ุฌู…ุน ูˆ ู†ุดูˆู ุนู†ุฏูƒ ู‡ู†ุง
1020
+
1021
+ 256
1022
+ 00:25:46,430 --> 00:25:51,850
1023
+ ุงุฑุจุนุฉ AT sign ุงุชู†ูŠู† T ุจุงู„ู…ูˆุฌุจ ูˆู‡ุฐู‡ ุจุงู„ุณู„ุจ ู…ุน
1024
+
1025
+ 257
1026
+ 00:25:51,850 --> 00:25:58,120
1027
+ ุงู„ุณู„ุงู…ุฉูˆู‡ุฐู‡ ุจุงู„ุณุงู„ุจ ูˆู‡ุฐู‡ ุจุงู„ู…ูˆุฌุจ ู…ุน ุงู„ุณู„ุงู…ุฉ ูƒู…ุงู†
1028
+
1029
+ 258
1030
+ 00:25:58,120 --> 00:26:04,500
1031
+ ูŠุจู‚ู‰ ุดูˆ ุถุงู„ ุนู†ุฏูŠ ุงู…ุงู†ุงุชุŸ ุงุฑุจุนุฉ ุงูƒูˆ ุตูŠู† ุงุชู†ูŠู† ุชูŠ
1032
+
1033
+ 259
1034
+ 00:26:04,500 --> 00:26:11,980
1035
+ ู†ุงู‚ุต ุงุฑุจุนุฉ ุจูŠ ุตูŠู† ุงุชู†ูŠู† ุชูŠ ุจุฏูŠ ุณุงูˆูŠ ุชู„ุงุชุฉ ููŠ ุตูŠู†
1036
+
1037
+ 260
1038
+ 00:26:11,980 --> 00:26:18,770
1039
+ ุงุชู†ูŠู† ุชูŠู†ุนู…ู„ ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ุทุฑููŠู† ูŠุนู†ูŠ ุจู…ู‚ุงุฑู†ุฉ
1040
+
1041
+ 261
1042
+ 00:26:18,770 --> 00:26:23,990
1043
+ ุงู„ู…ุนุงู…ู„ุงุช ููŠ ุงู„ุทุฑููŠู† ุจูŠุตูŠุฑ ู…ุนุงู…ู„ ุงู„ cosine ู‡ู†ุง ู‡ูˆ
1044
+
1045
+ 262
1046
+ 00:26:23,990 --> 00:26:28,170
1047
+ ู…ุนุงู…ู„ ุงู„ cosine ู‡ู†ุง ูˆ ู…ุนุงู…ู„ ุงู„ sine ู‡ู†ุง ู‡ูˆ ู…ุนุงู…ู„
1048
+
1049
+ 263
1050
+ 00:26:28,170 --> 00:26:33,210
1051
+ ุงู„ sine ู‡ู†ุง ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุฏูƒ ุงุฑุจุนุฉ ุงูŠู‡ุŸ ู‚ุฏุงุดุฉ ุณู†ุฉ
1052
+
1053
+ 264
1054
+ 00:26:33,210 --> 00:26:38,230
1055
+ ุจู†ุงุชุŸุฒูŠุฑูˆ ู…ุงุนู†ุฏูŠุด cosine ู‡ู†ุง ูŠุจู‚ู‰ ุงู„ู„ูŠ ูŠุทูŠู‘ุฑู‡ ูƒุฅู†ู‡
1056
+
1057
+ 265
1058
+ 00:26:38,230 --> 00:26:44,270
1059
+ zero ูŠุจู‚ู‰ ุฃุฑุจุนุฉ A ุชุณุงูˆูŠ zero ูˆู…ู†ู‡ุง A ุชุณุงูˆูŠ zero
1060
+
1061
+ 266
1062
+ 00:26:44,270 --> 00:26:50,690
1063
+ ูˆู†ุงู‚ุต ุฃุฑุจุนุฉ B ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด ุชู„ุงุชุฉ ุงู„ู…ุนุงู…ู„ ุชุจุน ุงู„
1064
+
1065
+ 267
1066
+ 00:26:50,690 --> 00:26:54,850
1067
+ sign ู‡ูˆ ู†ูุณ ุงู„ู…ุนุงู…๏ฟฝ๏ฟฝ ุชุจุน ุงู„ sign ูŠุจู‚ู‰ B ุจุฏู‡ ูŠุณุงูˆูŠ
1068
+
1069
+ 268
1070
+ 00:26:54,850 --> 00:27:01,280
1071
+ ู†ุงู‚ุต ุชู„ุงุช ุชุฑุจุนุฅุฐุง ุจู†ุงุก ุนู„ูŠู‡ ุงู„ particular solution
1072
+
1073
+ 269
1074
+ 00:27:01,280 --> 00:27:08,040
1075
+ Y of T ุตุงุฑ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ู‡ูŠูˆู†ุง ุงู„ A ุจูŠ Zero
1076
+
1077
+ 270
1078
+ 00:27:08,040 --> 00:27:13,500
1079
+ ูŠุจู‚ู‰ ุงู„ term ู‡ุฐุง ุงู„ู„ู‡ ุณู‡ู„ ุนู„ูŠู‡ ุงู„ B ุจุณุงู„ุจ ุชู„ุช ุฑุจุน
1080
+
1081
+ 271
1082
+ 00:27:13,500 --> 00:27:22,020
1083
+ ูŠุจู‚ู‰ ุตุงุฑ ุณุงู„ุจ ุชู„ุช ุฑุจุน T ููŠ Cos 2T
1084
+
1085
+ 272
1086
+ 00:27:23,000 --> 00:27:30,000
1087
+ ูŠุจู‚ู‰ star the general solution
1088
+
1089
+ 273
1090
+ 00:27:30,000 --> 00:27:43,000
1091
+ of the differential equation star is y ุชุณูˆู‰ c1y1
1092
+
1093
+ 274
1094
+ 00:27:43,000 --> 00:27:52,510
1095
+ c2y2 ุฒุงุฆุฏ capital Y of TูŠุจู‚ู‰ y ุชุณุงูˆูŠ ุทุจุนุง ุทู„ุนู†ุง
1096
+
1097
+ 275
1098
+ 00:27:52,510 --> 00:28:02,250
1099
+ ุงู„ู„ูŠ ูƒุงู† ู…ุจุฑูˆุฒ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุงู„ู„ูŠ ู‡ูˆ c1 cos 2t c2 sin
1100
+
1101
+ 276
1102
+ 00:28:02,250 --> 00:28:10,730
1103
+ 2t ู…ุงู‚ุต ุชู„ุช ุงุฑุจุน t ููŠ cos 2t
1104
+
1105
+ 277
1106
+ 00:28:13,080 --> 00:28:18,280
1107
+ ู„ุญุฏ ู‡ู†ุง ุงู†ุชู‡ู‰ ุญู„ ุงู„ู…ุณุฃู„ุฉ ู„ูƒู† ุงุดุฑุงุญ ู‚ุงู„ ู„ูŠ ุงุนุทุงู†ูŠ
1108
+
1109
+ 278
1110
+ 00:28:18,280 --> 00:28:23,320
1111
+ ุงู„ู†ุงุณ ุงู„ conditions ูŠุนู†ูŠ ุจุฏูŠ ุงุฌูŠุจ ู…ู†ู‡ู… ู‚ุฏุงุด ู‚ูŠู…ุฉ
1112
+
1113
+ 279
1114
+ 00:28:23,320 --> 00:28:29,380
1115
+ c1 ูˆ c2 ุงุฐุง ู…ุงุนุทูŠู†ูŠ y ุนู†ุฏ ุงู„ zero ูˆ y prime ุนู†ุฏ ุงู„
1116
+
1117
+ 280
1118
+ 00:28:29,380 --> 00:28:34,880
1119
+ zero ูŠุจู‚ู‰ ุจุฏุฑูˆุญ ุงุดุชู‚ ุนุงุฏูŠ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ y prime
1120
+
1121
+ 281
1122
+ 00:28:34,880 --> 00:28:35,680
1123
+ ูŠุณุงูˆูŠ
1124
+
1125
+ 282
1126
+ 00:28:39,300 --> 00:28:47,460
1127
+ -2C1Sin2T ุฒุงุฆุฏ ุงู„ู„ูŠ ู‡ูˆ 2C2Cos2T
1128
+
1129
+ 283
1130
+ 00:28:47,460 --> 00:28:56,900
1131
+ ู‡ุฐู‡ ุญุตู„ ุถุฑุจ ุฏู„ุชูŠู† ู†ุงู‚ุต ุชู„ุงุช ุชุฑุจุน Cos2T ู†ุงู‚ุต ู…ุน
1132
+
1133
+ 284
1134
+ 00:28:56,900 --> 00:29:07,170
1135
+ ู†ุงู‚ุต ุจูŠุตูŠุฑ ุฒุงุฆุฏ ุชู„ุงุชุฉ ุนู„ู‰ 2T ููŠ Sin2Tุชูุงุถู„ cos
1136
+
1137
+ 285
1138
+ 00:29:07,170 --> 00:29:12,350
1139
+ ุจุณู„ุจ sin ู…ุน ุณู„ุจ ุจุตูŠุฑ ู…ูˆุฌุจ ุถุฑุจ ุชูุงุถู„ ูŠุฒุงูˆูŠ ุงู„ู„ูŠ ู‡ูˆ
1140
+
1141
+ 286
1142
+ 00:29:12,350 --> 00:29:17,630
1143
+ ุงุชู†ูŠู† ู…ุน ุงู„ุงุฑุจุน ู†ุถุงู„ ุชู„ุงุชุฉ ุนู„ู‰ ุงุชู†ูŠู† T sin ุงุชู†ูŠู† T
1144
+
1145
+ 287
1146
+ 00:29:17,630 --> 00:29:21,850
1147
+ ูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ู…ุดุชู‚ุฉ ุงู„ุงู† ู†ูŠุฌูŠ ุงู„ุขู† ู…ู† ุงู„ initial
1148
+
1149
+ 288
1150
+ 00:29:21,850 --> 00:29:25,390
1151
+ conditions ุงู„ initial condition ุงู„ุฃูˆู„ุงู†ูŠ ู‚ุงู„ ุงู† y
1152
+
1153
+ 289
1154
+ 00:29:25,390 --> 00:29:30,670
1155
+ ุนู†ุฏ ุงู„ zero ุจุฏู‡ ูŠุณูˆู‰ ู„ุงุชู†ูŠู† ูŠุจู‚ู‰ y ุนู†ุฏ ุงู„ zero ุจุฏู‡
1156
+
1157
+ 290
1158
+ 00:29:30,670 --> 00:29:35,770
1159
+ ูŠุณูˆู‰ ุงุชู†ูŠู† impliesูŠุจู‚ู‰ ุจุฏู‡ ุฃุดูŠู„ ูƒู„ Y ูˆ ุฃุญุท ู…ูƒุงู†ู‡ุง
1160
+
1161
+ 291
1162
+ 00:29:35,770 --> 00:29:42,650
1163
+ 2 ูˆ ุฃุดูŠู„ ูƒู„ T ูˆ ุฃุญุท ู…ูƒุงู†ู‡ุง 0 ูŠุจู‚ู‰ ุจุตูŠุฑ ุนู†ุฏ ู‡ู†ุง 2
1164
+
1165
+ 292
1166
+ 00:29:42,650 --> 00:29:51,530
1167
+ ุชุณุงูˆูŠ C1 ุญุท ู‡ุฐู‡ ุจู€ 0 ู…ุน ุงู„ุณู„ุงู…ุฉ ุญุท ู‡ุฐู‡ ุจู€ 0 ููŠ 1
1168
+
1169
+ 293
1170
+ 00:29:51,530 --> 00:30:00,240
1171
+ ุจู€ 0 ู…ุน ุงู„ุณู„ุงู…ุฉ ูŠุจู‚ู‰ C1 ูŠุณู…ู‰ ูƒุฏู‡ุŸ 2 ุฌุงู‡ุฒูŠู†ุงู„ุงู†ุชุดุงุฑ
1172
+
1173
+ 294
1174
+ 00:30:00,240 --> 00:30:01,300
1175
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1176
+
1177
+ 295
1178
+ 00:30:01,300 --> 00:30:02,340
1179
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1180
+
1181
+ 296
1182
+ 00:30:02,340 --> 00:30:04,900
1183
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1184
+
1185
+ 297
1186
+ 00:30:04,900 --> 00:30:07,440
1187
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1188
+
1189
+ 298
1190
+ 00:30:07,440 --> 00:30:08,900
1191
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1192
+
1193
+ 299
1194
+ 00:30:08,900 --> 00:30:14,680
1195
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ
1196
+
1197
+ 300
1198
+ 00:30:14,680 --> 00:30:24,100
1199
+ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุงุฑ ุงู„ุงู†ุชุดุฒูŠุฑูˆ ุจุถู„ ุงุชู†ูŠู† ุณูŠ
1200
+
1201
+ 301
1202
+ 00:30:24,100 --> 00:30:31,740
1203
+ ุงุชู†ูŠู† ุฒูŠุฑูˆ ุจุถู„ ู†ุงู‚ุต ุชู„ุช ุงุฑุจุน ุฒูŠุฑูˆ ู‡ุฐุง ู…ุน ุงู„ุณู„ุงู…ุฉ
1204
+
1205
+ 302
1206
+ 00:30:31,740 --> 00:30:37,360
1207
+ ุชู…ุงู… ูŠุจู‚ู‰ ุจู†ุงุช ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠู„ูƒ ุงู†ู‡ ุงุชู†ูŠู† ุณูŠ ุงุชู†ูŠู†
1208
+
1209
+ 303
1210
+ 00:30:37,360 --> 00:30:41,680
1211
+ ูŠุณุงูˆูŠ ุณู„ุจ ุชู„ุช ุงุฑุจุน ุจุฌูŠุจู‡ุง ุนู„ู‰ ุงู„ุดุฌุฉ ู‡ุฐุง ุจูŠุตูŠุฑ ุณู„ุจ
1212
+
1213
+ 304
1214
+ 00:30:41,680 --> 00:30:48,800
1215
+ ูˆุงุญุฏ ุฒุงุฆุฏ ุชู„ุช ุงุฑุจุน ุจุถู„ ุฌุฏูŠุฏ ุณู„ุจ ุฑุงุจุน ูŠุจู‚ู‰ ุณู„ุจ ุฑุงุจุน
1216
+
1217
+ 305
1218
+ 00:30:49,060 --> 00:30:57,020
1219
+ ู‡ุฐุง ุจุฏูŠ ุงุนุทูŠูƒ ุงู† c2 ูŠุณุงูˆูŠ ุณุงู„ุจ ุชู…ุงู† ูŠุจู‚ู‰ ุงุตุจุญ ุงู„
1220
+
1221
+ 306
1222
+ 00:30:57,020 --> 00:31:03,460
1223
+ solution ุงู„ู„ูŠ ุนู†ุฏูŠ ู‡ุฐุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ y ุชุณุงูˆูŠ c1
1224
+
1225
+ 307
1226
+ 00:31:03,460 --> 00:31:12,920
1227
+ ุจ2 ูŠุจู‚ู‰ 2 cosine 2t c2 ุจุณุงู„ุจ ุชู…ุงู† ูŠุจู‚ู‰ ุณุงู„ุจ ุชู…ุงู†
1228
+
1229
+ 308
1230
+ 00:31:12,920 --> 00:31:26,990
1231
+ sin 2tู†ู‚ุต ุชู„ุงุชุฉ ุฑุจุน T cosine ุงุชู†ูŠู† T ูŠุจุฌู‰ ู‡ุฐุง ุญู„
1232
+
1233
+ 309
1234
+ 00:31:26,990 --> 00:31:30,730
1235
+ ุงู„ initial value problem ุงู„ู„ูŠ ุนู†ุฏู†ุง ุญุฏ ููŠู‡ ูƒู„ู‡
1236
+
1237
+ 310
1238
+ 00:31:30,730 --> 00:31:37,770
1239
+ ูŠุชุณุงูˆู„ ู‡ู†ุง ูŠุจุฌู‰ ูƒู„ ุณุคุงู„ ุจุฏ ุจุดูƒู„ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุดูƒู„ G
1240
+
1241
+ 311
1242
+ 00:31:37,770 --> 00:31:38,850
1243
+ of T
1244
+
1245
+ 312
1246
+ 00:32:09,620 --> 00:32:20,680
1247
+ ู…ุซุงู„ ุงุชู†ูŠู† ุณุคุงู„
1248
+
1249
+ 313
1250
+ 00:32:20,680 --> 00:32:32,100
1251
+ ุณ๏ฟฝ๏ฟฝุฉ ู…ู† ุงู„ูƒุชุงุจ will you find the general solution
1252
+
1253
+ 314
1254
+ 00:32:32,100 --> 00:32:34,800
1255
+ of
1256
+
1257
+ 315
1258
+ 00:32:45,340 --> 00:32:53,100
1259
+ Y'Y'Y ูŠุณุงูˆูŠ 2
1260
+
1261
+ 316
1262
+ 00:33:09,650 --> 00:33:13,130
1263
+ ุงู„ุชูƒุชูŠูƒ ุงู„ู„ู‰ ุงุชุจุนู†ุงู‡ุง ููŠ ุญู„ ุงู„ู…ุซุงู„ ุงู„ู…ุงุถูŠ ุจู†ุชุจุนู‡
1264
+
1265
+ 317
1266
+ 00:33:13,130 --> 00:33:18,850
1267
+ ู‡ู†ุง ู…ุน ุงู„ูุฑู‚ ู…ู„ุงุญุธุฉ ุดูƒู„ ุงู„ู€G of T ู†ู‡ูŠูƒุฉ ุนู† ุงู† ู‡ุฐู‡
1268
+
1269
+ 318
1270
+ 00:33:18,850 --> 00:33:24,990
1271
+ ู…ุงู‡ูŠุงุด initial value problem ุทุจ ูƒูˆูŠุณ ูŠุจู‚ู‰ ุจุฏูŠ ุงุจุฏุฃ
1272
+
1273
+ 319
1274
+ 00:33:24,990 --> 00:33:32,870
1275
+ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุจุฏูŠ ุงู‚ูˆู„ ู„ู‡ let Y ุชุณุงูˆูŠ E ุฃุณ RT ุจ A
1276
+
1277
+ 320
1278
+ 00:33:32,870 --> 00:33:36,450
1279
+ solution of
1280
+
1281
+ 321
1282
+ 00:34:05,310 --> 00:34:06,710
1283
+ Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''Y''
1284
+
1285
+ 322
1286
+ 00:34:06,940 --> 00:34:13,500
1287
+ ูŠุจู‚ู‰ R ุฒุงุฆุฏ ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุน ูŠุณุงูˆูŠ zero ูŠุจู‚ู‰ ุงู„ R
1288
+
1289
+ 323
1290
+ 00:34:13,500 --> 00:34:23,680
1291
+ ุชุณุงูˆูŠ ูƒุฏู‡ุด ุณุงู„ุจ ูˆุงุญุฏ ูŠุจู‚ู‰ ู‡ู†ุง solution of
1292
+
1293
+ 324
1294
+ 00:34:23,680 --> 00:34:34,640
1295
+ the homogeneous differential equation is Y ุชุณุงูˆูŠ C
1296
+
1297
+ 325
1298
+ 00:34:34,640 --> 00:34:43,730
1299
+ ูˆุงุญุฏC2 ููŠ T ููŠ ุฃุซู†ุงุก ู‚ุตุฉ T ูˆุจูŠู† ู…ุฑูˆุฒู‡ุง ู†ู‚ูˆู„ ุทูŠุญุฉ
1300
+
1301
+ 326
1302
+ 00:34:43,730 --> 00:34:50,970
1303
+ ุนู„ู‰ ุดุฌุฑุฉ ูˆ ู‡ุฐุง ุญุฏ ุงุธู† repeated roots ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡
1304
+
1305
+ 327
1306
+ 00:34:50,970 --> 00:34:55,110
1307
+ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุจูŠู‚ูˆู„ C1 ุฒูŠ C2 ููŠ T ููŠ ุงู„
1308
+
1309
+ 328
1310
+ 00:34:55,110 --> 00:34:58,990
1311
+ exponential ุงู„ู„ูŠ ุจุชุทู„ุน ุนู†ุฏู†ุง ุงู„ุขู† ุจุนุฏ ู‡ูŠูƒ ุจุฏู†ุง ู†ุฌูŠ
1312
+
1313
+ 329
1314
+ 00:34:58,990 --> 00:35:02,610
1315
+ ู„ู…ูŠู† ู„ู„ non homogeneous differential equation ุจุฏูŠ
1316
+
1317
+ 330
1318
+ 00:35:02,610 --> 00:35:07,070
1319
+ ุฃุฌูŠุจ ุงู„ particular solutionู„ู„ู€ non-homogeneous
1320
+
1321
+ 331
1322
+ 00:35:07,070 --> 00:35:12,110
1323
+ differential equation ูุจุฑูˆุญ ุจู‚ูˆู„ู‡ the particular
1324
+
1325
+ 332
1326
+ 00:35:12,110 --> 00:35:15,430
1327
+ solution
1328
+
1329
+ 333
1330
+ 00:35:15,430 --> 00:35:27,800
1331
+ of equation star is capital Y of T ุจุฏู‡ ูŠุณุงูˆูŠุจุนุฏู‡ุง
1332
+
1333
+ 334
1334
+ 00:35:27,800 --> 00:35:34,040
1335
+ ุจุทู„ุน ุนู„ู‰ ุดูƒู„ G of T ูุจุนุฏู‡ุง ุจู‚ูˆู„ T to the power S
1336
+
1337
+ 335
1338
+ 00:35:34,040 --> 00:35:38,280
1339
+ ููŠู‡ constant ููŠ ุงู„ exponential ูŠุจู‚ู‰ polynomial ู…ู†
1340
+
1341
+ 336
1342
+ 00:35:38,280 --> 00:35:46,100
1343
+ ุงู„ุฏุฑุฌุฉ ุงู„ุตูุฑูŠุฉ ูŠุนู†ูŠ constant ููŠ E ุฃุณ ู†ุงู‚ุต T ุจุงู„ุดูƒู„
1344
+
1345
+ 337
1346
+ 00:35:46,100 --> 00:35:54,330
1347
+ ุงู„ู„ูŠ ุนู†ุฏู†ุงุจุนุฏ ู‡ูƒุฐุง ุจุฑูˆุญ ุฃุดูˆู ู…ุง ู‡ูˆ ุดูƒู„ ุงู„ S ุจุฃุฌูŠ
1348
+
1349
+ 338
1350
+ 00:35:54,330 --> 00:35:59,210
1351
+ ุจุทู„ุน constant ููŠู‡ ูˆ minus T ุฃุธู† ููŠ ุนู†ุฏูŠ constant
1352
+
1353
+ 339
1354
+ 00:35:59,210 --> 00:36:04,210
1355
+ ููŠู‡ ูˆ minus T ู„ู‡ ุงู„ term ุงู„ุฃูˆู„ ุตุญุŸ ูŠุจู‚ู‰ ุงู„ S
1356
+
1357
+ 340
1358
+ 00:36:04,210 --> 00:36:09,270
1359
+ ุจู‚ุฏุงุดุŸู„ูˆ ุญุทูŠุช ุงู„ S ุจูˆุงุญุฏ ุชู†ุชู‡ูŠ ุงู„ู…ุดูƒู„ุฉ ูˆู„ุง ุจุชุธู„
1360
+
1361
+ 341
1362
+ 00:36:09,270 --> 00:36:14,270
1363
+ ุชุฒุงู„ ุงู„ู‚ุงุฆู…ุฉ ุชุนุงู„ู‰ ู†ุดูˆู ุญุท ุงู„ S ุจูˆุงุญุฏ ุจุตูŠุฑ A T ููŠ
1364
+
1365
+ 342
1366
+ 00:36:14,270 --> 00:36:20,530
1367
+ U ุงุซู†ุงุก ู‚ุตุฉ T ุจุงุฌูŠ ุจู‚ุงุฑู† ุจู„ุงู‚ูŠ ุฒูŠ ู‡ุฐุง ู…ุตุจูˆุท ูŠุจู‚ู‰ S
1368
+
1369
+ 343
1370
+ 00:36:20,530 --> 00:36:26,010
1371
+ ุชุณุงูˆูŠ ูˆุงุญุฏ ู…ุญู„ุชุด ุงู„ู…ุดูƒู„ุฉ ูŠุจู‚ู‰ S ุจุฌุฏุงุด ูŠุจู‚ู‰ ู‡ู†ุง ู‡ู‡
1372
+
1373
+ 344
1374
+ 00:36:26,010 --> 00:36:33,120
1375
+ ู‡ูŠุฑุงู„ุงุณ ุชุณุงูˆูŠ ุงุชู†ูŠู† ุทุจ ู„ูˆ ุญุทูŠุช ุงุณ ุจุงุชู†ูŠู† ุชู†ุญู„
1376
+
1377
+ 345
1378
+ 00:36:33,120 --> 00:36:38,360
1379
+ ุงู„ู…ุดูƒู„ุฉ ุจุตูŠุฑ AT ุชุฑุจูŠุฉ ููŠ ุงู„ exponential ู…ุงุนู†ุฏูŠุด
1380
+
1381
+ 346
1382
+ 00:36:38,360 --> 00:36:41,400
1383
+ constant ููŠ T ุชุฑุจูŠุฉ ููŠ ุงู„ exponential ูŠุจู‚ู‰ ุงูŠูƒ
1384
+
1385
+ 347
1386
+ 00:36:41,400 --> 00:36:47,520
1387
+ ุจุชุจู‚ู‰ ู…ุงู„ู‡ุง ุงู†ุญู„ุช ู…ู† ุงู„ู…ุดูƒู„ุฉ ูŠุจู‚ู‰ ุงุตุจุญ capital Y
1388
+
1389
+ 348
1390
+ 00:36:47,520 --> 00:36:55,900
1391
+ of T ุชุณุงูˆูŠ AT ุชุฑุจูŠุฉ ููŠ ูˆุตู†ุงุน ู‚ุตุชูŠุงู„ุงู† ุจุฑูˆุญ ู†ุฌูŠุจ
1392
+
1393
+ 349
1394
+ 00:36:55,900 --> 00:37:03,940
1395
+ ู…ุงู‡ูˆ ุดูƒู„ ุงู„ main ุดูƒู„ ุงู„ a ูุจุฑูˆุญ ุงุดุชู‚ ู‡ุฐู‡ ู…ุฑุชูŠู† ุฅุฐุง
1396
+
1397
+ 350
1398
+ 00:37:03,940 --> 00:37:09,380
1399
+ ู„ูˆ ุฑูˆุญุช ุงุดุชู‚ุชู‡ุง ุงู„ู…ุฑุฉ ุงู„ุฃูˆู„ู‰ ุจุตูŠุฑ capital Y prime
1400
+
1401
+ 351
1402
+ 00:37:09,380 --> 00:37:20,960
1403
+ of TุจุฏูŠ ุงุณุงูˆูŠ 2AT ููŠ EOS ู†ุงู‚ุต T ู†ุงู‚ุต AT ุชุฑุจูŠุน ููŠ
1404
+
1405
+ 352
1406
+ 00:37:20,960 --> 00:37:31,900
1407
+ EOS ู†ุงู‚ุต T ุงูˆ ูŠุง ุจู†ุงุช ุจู‚ุฏุฑ ุงู‚ูˆู„ 2AT ู†ุงู‚ุต AT ุชุฑุจูŠุน
1408
+
1409
+ 353
1410
+ 00:37:31,900 --> 00:37:37,900
1411
+ ูƒู„ู‡ ููŠ EOS ู†ุงู‚ุต TูŠุนู†ูŠ ุฃุฎุฏ ูŠูˆุณ ู†ุงู‚ุต T ุนุงู…ู„ ู…ุดุชุฑูƒ
1412
+
1413
+ 354
1414
+ 00:37:37,900 --> 00:37:44,920
1415
+ ู†ุฌูŠุจ ุงู„ู…ุดุชู‚ุฉ ุชุงู†ูŠ ูŠุจู‚ู‰ capital Y double prime of T
1416
+
1417
+ 355
1418
+ 00:37:44,920 --> 00:37:50,520
1419
+ ุจุฏุง ุฃุฌูŠุจ ุงู„ุฏู„ ุงู„ู„ูŠ ู‡ูˆ ูŠุจู‚ู‰ ุฏูŠ ู…ุดุชู‚ุฉ ุญุงุตู„ ุถุฑุจ ุฏู„ุชูŠู†
1420
+
1421
+ 356
1422
+ 00:37:50,520 --> 00:38:01,460
1423
+ ูŠุจู‚ู‰ 2A ููŠ E ุฃุณ ู†ุงู‚ุต T ู†ุงู‚ุต 2AT ููŠ E ุฃุณ ู†ุงู‚ุต T
1424
+
1425
+ 357
1426
+ 00:38:01,460 --> 00:38:07,400
1427
+ ุชูุถู„ ุงู„ุฃุณุจุณุงู„ุจ ูˆุงุญุฏ ูˆ ุงู„ exponential ูƒู…ุง ู‡ูŠ ุฎู„ุตู†ุง
1428
+
1429
+ 358
1430
+ 00:38:07,400 --> 00:38:12,220
1431
+ ู…ุดุชู‚ุฉ ุฃูˆู„ term ุจุฏู†ุง ู†ุฌูŠ ู„ู„ term ุงู„ุชุงู†ูŠ ูŠุจู‚ู‰ ู†ุงู‚ุต
1432
+
1433
+ 359
1434
+ 00:38:12,220 --> 00:38:23,400
1435
+ ุงุชู†ูŠู† a t ููŠ a ุฃุณ ู†ุงู‚ุต t ุฒุงุฆุฏ ุงู„ู„ูŠ ู‡ูˆ a t ุชุฑุจูŠุน ููŠ
1436
+
1437
+ 360
1438
+ 00:38:23,400 --> 00:38:30,220
1439
+ a ุฃุณ ู†ุงู‚ุต t ุทู„ุนูŠู„ูŠ ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ุงุชู†ูŠู† ุฒูŠ ุจุนุถุจุฏูŠ ุฃุฎุฏู‡ู…
1440
+
1441
+ 361
1442
+ 00:38:30,220 --> 00:38:34,500
1443
+ ู…ุน ุจุนุถ ูˆ ุฃุฎุฏ ุงู„ exponential ุจุฑุง ุนุงู…ู„ ู…ุดุชุฑูƒ ูŠุจู‚ู‰
1444
+
1445
+ 362
1446
+ 00:38:34,500 --> 00:38:44,220
1447
+ ู‡ุฐู‡ ุจุฏุฃ ุชุนุทูŠู†ูŠ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ 2A ูˆ ู‡ู†ุง ู†ุงู‚ุต 4AT ู†ุงู‚ุต
1448
+
1449
+ 363
1450
+ 00:38:44,220 --> 00:38:51,900
1451
+ 4AT ูˆ ุฒุงุฆุฏ AT ุชุฑุจูŠุน ูƒู„ู‡ ููŠ ุงู„ exponential E ุฃุณ
1452
+
1453
+ 364
1454
+ 00:38:51,900 --> 00:38:57,500
1455
+ ู†ุงู‚ุต Tู†ู…ุณูƒ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู„ู‰ ุนู†ุฏู†ุง ู†ุฑุฌุน ู†ุนูˆุถ ูˆูŠู† ููŠ
1456
+
1457
+ 365
1458
+ 00:38:57,500 --> 00:39:05,520
1459
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู‰ star ูŠุจู‚ู‰ ุจุงู‚ู‰ ุจู‚ูˆู„ู‡ substitute in
1460
+
1461
+ 366
1462
+ 00:39:05,520 --> 00:39:08,500
1463
+ equation star
1464
+
1465
+ 367
1466
+ 00:39:10,320 --> 00:39:15,500
1467
+ ู†ุญุตู„ ุนู„ู‰ ู…ุง ูŠุงุชูŠ ูˆูŠ ุฏุงุจู„ูŠ ุจุฑุงูŠู… ุจุฏุฎู„ ุงู„
1468
+
1469
+ 368
1470
+ 00:39:15,500 --> 00:39:19,980
1471
+ exponential ู…ู† ุงู„ูƒู„ ุจุฑุง ูŠุจู‚ู‰ ุงูŠุด ุจูŠุตูŠุฑ ุงู„ู†ู…ู†ุงุช ู‡ุงูŠ
1472
+
1473
+ 369
1474
+ 00:39:19,980 --> 00:39:28,580
1475
+ ุงุชู†ูŠู† ุงูŠู‡ ู†ุงู‚ุต ุงุฑุจุนุฉ ุงุชูŠ ุฒุงุฆุฏ ุงุชูŠ ุชุฑุจูŠุฉ ุฎู„ุตู†ุง ูˆูŠ
1476
+
1477
+ 370
1478
+ 00:39:28,580 --> 00:39:34,100
1479
+ ุฏุงุจู„ูŠ ุจุฑุงูŠู…ุฃุชู†ูŠู† ุจุฏู‡ ุงุถุฑุจู‡ุง ููŠ Y' ู‡ุงูŠ Y' ู‡ู†ุง ุจุฏู‡
1480
+
1481
+ 371
1482
+ 00:39:34,100 --> 00:39:42,200
1483
+ ุงุถุฑุจู‡ุง ููŠ ุงุชู†ูŠู† ุจุตูŠุฑ ุงุฑุจุนุฉ AT ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงุฑุจุนุฉ AT
1484
+
1485
+ 372
1486
+ 00:39:42,200 --> 00:39:50,830
1487
+ ู†ุงู‚ุต ุงุชู†ูŠู† AT ุชุฑุจูŠุนูŠุจู‚ู‰ ุงูŠ ุถุฑุจุช ู‡ุฐู‡ ูˆูŠู†ุŸ ููŠ ุงุชู†ูŠู†
1488
+
1489
+ 373
1490
+ 00:39:50,830 --> 00:39:59,350
1491
+ ุจุนุฏู‡ุง ุฒุงุฆุฏ Y ูˆูŠู† Y ู‡ูŠู‡ุง ูŠุจู‚ู‰ ุฒุงุฆุฏ AT ุชุฑุจูŠุน ูŠุจู‚ู‰
1492
+
1493
+ 374
1494
+ 00:39:59,350 --> 00:40:07,530
1495
+ ุฒุงุฆุฏ AT ุชุฑุจูŠุน ูƒู„ ู‡ุฐุง ููŠ E ุฃุต ู†ุงู‚ุต T ู‡ุฐุง ุงู„ุทุฑู
1496
+
1497
+ 375
1498
+ 00:40:07,530 --> 00:40:16,490
1499
+ ุงู„ุดู…ุงู„ ุจุฏูŠ ุณุงูˆูŠ ุงุชู†ูŠู† E ุฃุต ู†ุงู‚ุต Tุงู„ุงู† ุจู‚ุฏุฑ ุงู‚ุณู…
1500
+
1501
+ 376
1502
+ 00:40:16,490 --> 00:40:20,550
1503
+ ุงู„ุทุฑููŠู† ุนู„ู‰ ุงู„ exponential ุงู† ุงู„ exponential ุงู„ุฑู‚ู…
1504
+
1505
+ 377
1506
+ 00:40:20,550 --> 00:40:25,630
1507
+ ุงูƒุจุฑ ู…ู† ุงู„ zero ูŠุจู‚ู‰ ู„ูˆ ู‚ุณู…ุช ุนู„ูŠู‡ ุจุฑูˆุญ ุงู„ term ู‡ุฐุง
1508
+
1509
+ 378
1510
+ 00:40:25,630 --> 00:40:31,950
1511
+ ู…ุน ุงู„ term ู‡ู†ุง ุจุนุฏ ู‡ูŠูƒ ุจุฏู‡ ุงุฌู…ุน ุนู†ุฏ ู‡ู†ุง ุงุชู†ูŠู† a
1512
+
1513
+ 379
1514
+ 00:40:31,950 --> 00:40:41,270
1515
+ ู…ุงููŠุด ุบูŠุฑู‡ุง ูŠุจู‚ู‰ ู‡ุฐู‡ ุงุชู†ูŠู† aู†ู‚ุต ุงุฑุจุนุฉ AT ูˆุฒุงุฆุฏ
1516
+
1517
+ 380
1518
+ 00:40:41,270 --> 00:40:47,750
1519
+ ุงุฑุจุนุฉ AT ู…ุน ุงู„ุณู„ุงู…ุฉ ุจุถู„ ุนู†ุฏู‰ AT ุชุฑุจูŠุฉ ูˆ AT ุชุฑุจูŠุฉ
1520
+
1521
+ 381
1522
+ 00:40:47,750 --> 00:40:54,250
1523
+ ุจุงุชู†ูŠู† AT ุชุฑุจูŠุฉ ูˆ ุณุงู„ุจ ุงุชู†ูŠู† AT ุชุฑุจูŠุฉ ูŠุจู‚ู‰ ู…ุน
1524
+
1525
+ 382
1526
+ 00:40:54,250 --> 00:41:00,930
1527
+ ุงู„ุณู„ุงู…ุฉ ุจุถู„ุด ุนู†ุฏู‰ ุงู„ุง ุงุชู†ูŠู† A ูŠุณุงูˆูŠ ู‚ุฏุงุด ูˆู…ู†ู‡ุง A
1528
+
1529
+ 383
1530
+ 00:41:00,930 --> 00:41:08,420
1531
+ ุชุณุงูˆูŠ ูˆุงุญุฏ ูŠุจู‚ู‰ A ุชุณุงูˆูŠ ูˆุงุญุฏูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠู‡ ุฃุตุจุญ ุงู„
1532
+
1533
+ 384
1534
+ 00:41:08,420 --> 00:41:15,300
1535
+ particular solution capital Y of T ุงู„ู„ูŠ ู‡ูˆ T ุชุฑุจูŠุฉ
1536
+
1537
+ 385
1538
+ 00:41:15,300 --> 00:41:17,340
1539
+ E ุฃุซู†ุงุก ู‚ุตุชูŠ
1540
+
1541
+ 386
1542
+ 00:41:38,210 --> 00:41:42,630
1543
+ ุงู„ุงู† ุนู†ุฏูŠ ุญู„
1544
+
1545
+ 387
1546
+ 00:41:42,630 --> 00:41:46,090
1547
+ ุงู„ homogenous differential equation ูˆุนู†ุฏูŠ ุงู„
1548
+
1549
+ 388
1550
+ 00:41:46,090 --> 00:41:49,490
1551
+ particular solution ู„ู„ู…ู† homogenous differential
1552
+
1553
+ 389
1554
+ 00:41:49,490 --> 00:41:58,150
1555
+ equation ุฅุฐุง ุจู‚ุฏุฑ ุฃุฌูŠุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ general solution
1556
+
1557
+ 390
1558
+ 00:41:58,150 --> 00:42:14,030
1559
+ of equation star s y ุชุณุงูˆูŠC1 ุฒุงุฆุฏ C2T ููŠ E ุฃุตู†ุงู‚ T
1560
+
1561
+ 391
1562
+ 00:42:14,030 --> 00:42:20,770
1563
+ ุฒุงุฆุฏ ุงู„ particular solution T ุชุฑุจูŠุฉ ููŠ E ุฃุตู†ุงู‚ T T
1564
+
1565
+ 392
1566
+ 00:42:20,770 --> 00:42:26,310
1567
+ ุชุฑุจูŠุฉ ููŠ E ุฃุตู†ุงู‚ T ูˆุงู„ู…ุณุฃู„ุฉ ุจูŠุธู„ ุจุฏู„ุงู„ุฉ ุงู„
1568
+
1569
+ 393
1570
+ 00:42:26,310 --> 00:42:32,990
1571
+ constant C1 ูˆC2 ู„ุฅู† ู…ุงุนู†ุฏูŠุด initial conditions
1572
+
1573
+ 394
1574
+ 00:42:32,990 --> 00:42:44,870
1575
+ ู…ุซุงู„ ุฑู‚ู… 3ู„ู‡ ุณุคุงู„ ุณุจุนุฉ ู…ู† ุงู„ูƒุชุงุจ ุจูŠู‚ูˆู„ ู„ูŠ solve
1576
+
1577
+ 395
1578
+ 00:42:44,870 --> 00:42:53,790
1579
+ the differential equation ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ
1580
+
1581
+ 396
1582
+ 00:42:53,790 --> 00:43:01,750
1583
+ ุงุชู†ูŠู† y double prime ุฒุงุฆุฏ ุชู„ุงุชุฉ y prime ุฒุงุฆุฏ y
1584
+
1585
+ 397
1586
+ 00:43:01,750 --> 00:43:11,170
1587
+ ูŠุณุงูˆูŠ T ุชุฑุจูŠุฉ ุฒุงุฆุฏ ุชู„ุงุชุฉ sign TT ุชุฑุจูŠุน ุฒุงุฆุฏ ุชู„ุงุชุฉ
1588
+
1589
+ 398
1590
+ 00:43:11,170 --> 00:43:23,190
1591
+ sign ุงู„ T ู„ุงุญุธูˆุง
1592
+
1593
+ 399
1594
+ 00:43:23,190 --> 00:43:27,130
1595
+ ุงู„ุณุคุงู„ ู‡ุฐุง ุฒูŠ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ู‚ุจู„ู‡ ุจูŠุฎุชู„ู ุจุณ ููŠ ุดูƒู„
1596
+
1597
+ 400
1598
+ 00:43:27,130 --> 00:43:32,850
1599
+ main ุงู„ G of T ุทูŠุจ ู„ู…ุง ู†ูˆุตู„ู‡ุง ุจุตูŠุฑ ุฎูŠุฑ ุฎู„ูŠู†ุง ู†ุจุฏุฃ
1600
+
1601
+ 401
1602
+ 00:43:32,850 --> 00:43:36,230
1603
+ ุฒูŠ ู…ุจุฏุฃูŠ ููŠ ุงู„ุณุคุงู„ูŠู† ุชุงู†ูŠุงุช ูˆ ู„ู…ุง ู†ูˆุตู„ู‡ุง ุงู„ู„ู‡
1604
+
1605
+ 402
1606
+ 00:43:36,230 --> 00:43:44,360
1607
+ ุจุญู„ู‡ุงูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ let Y ุชุณุงูˆูŠ E ุฃุณ RT ุจูŠู‡
1608
+
1609
+ 403
1610
+ 00:43:44,360 --> 00:43:53,520
1611
+ solution of ุงู„ูˆุงุชู†ูŠู† Y double prime ุชู„ุงุชุฉ Y prime
1612
+
1613
+ 404
1614
+ 00:43:53,520 --> 00:44:06,820
1615
+ Y ูŠุณุงูˆูŠ Zุซู… ุงุชู†ูŠู†
1616
+
1617
+ 405
1618
+ 00:44:06,820 --> 00:44:13,820
1619
+ ุงุฑ ุซุฑุจูŠุฉ ุฒุงุฆุฏ ุชู„ุงุชุฉ ุงุฑ ุฒุงุฆุฏ ูˆุงุญุฏ ุจูŠุณุงูˆูŠ ุฒูŠุฑูˆ ู†ุญู„ู„
1620
+
1621
+ 406
1622
+ 00:44:13,820 --> 00:44:21,580
1623
+ ู‡ุฐู‡ ูƒุญุงุตู„ ุถุฑุจ ู‚ูˆุณูŠู† ูˆูŠุณุงูˆูŠ ุฒูŠุฑูˆ ูŠุจู‚ู‰ ู‡ู†ุง ุงุชู†ูŠู† ุงุฑ
1624
+
1625
+ 407
1626
+ 00:44:21,580 --> 00:44:28,340
1627
+ ูˆู‡ู†ุง ุงุฑ ูˆู‡ู†ุง ูˆุงุญุฏ ูˆู‡ู†ุง ูˆุงุญุฏูˆ ู‡ู†ุง ุฒุงุฆุฏ ูˆู‡ู†ุง ุฒุงุฆุฏ
1628
+
1629
+ 408
1630
+ 00:44:28,680 --> 00:44:33,080
1631
+ ูŠุจู‚ู‰ ุฒุงุฆุฏ R ูˆุฒุงุฆุฏ ุงุชู†ูŠู† R ุจุฒุงุฆุฏ ุชู„ุงุชุฉ R ูŠุจู‚ู‰
1632
+
1633
+ 409
1634
+ 00:44:33,080 --> 00:44:39,380
1635
+ ุชุญู„ูŠู„ู†ุง ุณู„ูŠู… ู…ุงุฆุฉ ุจุงู„ู…ุงุฆุฉ ูˆู…ู†ู‡ุง ุงู„ R ุจุฏู‡ุง ุชุณุงูˆูŠ ุงูˆ
1636
+
1637
+ 410
1638
+ 00:44:39,380 --> 00:44:44,520
1639
+ R ูˆุงุญุฏ ุจุฏู‡ ูŠุณุงูˆูŠ ุณุงู„ู ูˆุงุญุฏ ูˆR ุงุชู†ูŠู† ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด
1640
+
1641
+ 411
1642
+ 00:44:44,520 --> 00:44:53,420
1643
+ ุณุงู„ู ู†ุต ูŠุจู‚ู‰ ุญู„ ุงู„ homogeneous YC ุจุฏู‡ ูŠุณุงูˆูŠ C ูˆุงุญุฏ
1644
+
1645
+ 412
1646
+ 00:44:53,420 --> 00:45:03,600
1647
+ ููŠ E ุฃุซู†ุงู‚ S T ุฒุงุฆุฏ C ุงุชู†ูŠู†ููŠ ุฅูŠ ุฃุณ ู†ุงู‚ุต ู†ุต T ุฃูˆ T
1648
+
1649
+ 413
1650
+ 00:45:03,600 --> 00:45:10,320
1651
+ ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ุฅุชู†ูŠู† ู„ุญุธุฉ ู‡ู†ุง ุญู„ ุงู„ homogeneous
1652
+
1653
+ 414
1654
+ 00:45:10,320 --> 00:45:17,060
1655
+ ูƒุงู† repeated roots ู‡ู†ุง real different roots ูˆู‡ูƒุฐุง
1656
+
1657
+ 415
1658
+ 00:45:17,060 --> 00:45:21,680
1659
+ ูŠุนู†ูŠ ูƒุฃู†ู‡ ุงุญู†ุง ุฌุงู†ูŠู† ูˆุงู„ุฃูˆู„ุงู†ูŠุฉ ูƒุงู†ุช complex ูƒุฃู†ู‡
1660
+
1661
+ 416
1662
+ 00:45:21,680 --> 00:45:26,580
1663
+ ุงุญู†ุง ุจุงู„ุฑุฌุน ู…ู† ุงู„ sections ุงู„ู…ุงุถูŠุฉู…ุงุดูŠ ุชู‚ูˆู„ูŠ ุงู„ู„ูŠ
1664
+
1665
+ 417
1666
+ 00:45:26,580 --> 00:45:30,320
1667
+ ุจุฏู†ุง ู…ุฑุงุฌุนุฉ ุฏู‡ ุงุญู†ุง ุจู†ุฑุงุฌุน ุงู„ู„ูŠ ูุงุช ุฏูŠุฑูˆุง ุจุงู„ูƒู…
1668
+
1669
+ 418
1670
+ 00:45:30,320 --> 00:45:34,960
1671
+ ู…ุงุดูŠ ูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ุดูƒู„ main ุญู„ ุงู„ homogeneous
1672
+
1673
+ 419
1674
+ 00:45:34,960 --> 00:45:38,360
1675
+ differential equation ุจุฏู†ุง ุญู„ ุงู„ non homogeneous
1676
+
1677
+ 420
1678
+ 00:45:38,360 --> 00:45:43,160
1679
+ differential equation ุจุฌูŠ ุจุชุทู„ุน ููŠ ุดูƒู„ main ููŠ ุดูƒู„
1680
+
1681
+ 421
1682
+ 00:45:43,160 --> 00:45:49,980
1683
+ g of t g of t ู‡ูŠ ู…ุฌู…ูˆุนุฉ ุฏุงู„ุชูŠู†ู…ุด ู…ุถุบูˆุจุฉ ุถุฑุจ ุฒูŠ ู…ุง
1684
+
1685
+ 422
1686
+ 00:45:49,980 --> 00:45:54,680
1687
+ ูƒุงู† ููŠ ุงู„ุฌุฏูˆู„ ุตุฑุชูŠ ุชุฑุจูŠุฉ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ
1688
+
1689
+ 423
1690
+ 00:45:54,680 --> 00:46:02,400
1691
+ ุงู„ุซุงู†ูŠุฉ ูˆู‡ุฐู‡ constant ููŠ sign ุดูˆ ู†ุนู…ู„ุŸ ุจุฏูŠ ุฃุถุทุฑ ูŠุง
1692
+
1693
+ 424
1694
+ 00:46:02,400 --> 00:46:08,840
1695
+ ุจู†ุงุช ุฃูุตู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุฅู„ู‰ ู…ุนุงุฏู„ุชูŠู† ูƒูŠูุŸ
1696
+
1697
+ 425
1698
+ 00:46:08,840 --> 00:46:13,700
1699
+ ูƒุงู„ุชุงู„ูŠ ูุจุฌูŠ ุจู‚ูˆู„ ู„ู‡ ู‡ุฐู‡ ุงู„ุณู…ู‡ุงู„ุฉ ุงู„ุฃุตู„ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
1700
+
1701
+ 426
1702
+ 00:46:13,700 --> 00:46:19,420
1703
+ ู…ู† ู…ุนุงุฏู„ุฉ startูุจุฑูˆุญ ุจู‚ูˆู„ู‡ the differential
1704
+
1705
+ 427
1706
+ 00:46:19,420 --> 00:46:29,080
1707
+ equation star is written as
1708
+
1709
+ 428
1710
+ 00:46:29,080 --> 00:46:31,760
1711
+ .. ุจุฑูˆุญ ุงูƒุชุจู‡ุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ
1712
+
1713
+ 429
1714
+ 00:46:54,020 --> 00:47:00,200
1715
+ ุฎู„ู‘ูŠ ุจุงู„ูƒู… ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุจุชุฑูˆุญ ุงูƒุชุจ ุงุชู†ูŠู† y w prime
1716
+
1717
+ 430
1718
+ 00:47:00,200 --> 00:47:08,060
1719
+ ุฒุงุฆุฏ ุชู„ุงุชุฉ y prime ุฒุงุฆุฏ y ูŠุณุงูˆูŠ T ุชุฑุจูŠุน ูˆ ุจุฏูŠ
1720
+
1721
+ 431
1722
+ 00:47:08,060 --> 00:47:15,580
1723
+ ุงุนูŠุฏู‡ุง ูƒู…ุงู† ู…ุฑุฉ ุงุชู†ูŠู† y w prime ุฒุงุฆุฏ ุชู„ุงุชุฉ y prime
1724
+
1725
+ 432
1726
+ 00:47:15,580 --> 00:47:25,250
1727
+ ุฒุงุฆุฏ y ูŠุณุงูˆูŠ ุชู„ุงุชุฉ sine Tุทุจุนุง ู‡ุชุณุฃู„ ูˆุงุญุฏุฉ ููŠูƒูˆุง
1728
+
1729
+ 433
1730
+ 00:47:25,250 --> 00:47:30,730
1731
+ ุงุฐุง ู„ู… ูŠูƒู†ูˆุง ูˆุงุญุฏุงุช ุงูƒุชุฑุฃู‚ูˆู„ ู„ู‡ ู…ุงู„ ูุนู„ุงุŒ ูุชู‚ูˆู„ ู„ูŠ
1732
+
1733
+ 434
1734
+ 00:47:30,730 --> 00:47:34,630
1735
+ ุทูŠุจ ุฃุฑุฌุนู‡ู… ุงู„ุงุตู„ุŒ ูุฃู‚ูˆู„ ู„ู‡ ุจู‚ู‰ ุชุนุงู„ูŠ ู†ุฌู…ุนุŒ ูŠุจู‚ู‰ ู„ูˆ
1736
+
1737
+ 435
1738
+ 00:47:34,630 --> 00:47:38,730
1739
+ ุฌู…ุนู†ุง ู‡ุฐุง ุจูŠุตูŠุฑ ุงุชู†ูŠู† ุงู„ุทุฑู ุงู„ุดู…ุงู„ ุจูŠุณูˆุก ุงู„ุทุฑู
1740
+
1741
+ 436
1742
+ 00:47:38,730 --> 00:47:42,730
1743
+ ุงู„ูŠู…ูŠู†ุŒ ุตุญ ูˆู„ุง ู„ุงุŸ ู„ูˆ ู‚ุณู…ู†ุง ุนู„ู‰ ุงุชู†ูŠู† ุจูŠุตูŠุฑ ุงู„ุทุฑู
1744
+
1745
+ 437
1746
+ 00:47:42,730 --> 00:47:45,610
1747
+ ุงู„ุดู…ุงู„ ูŠุณูˆุก ู†ุต ุงู„ุทุฑู ุงู„ูŠู…ูŠู†ุŒ ูƒุฃู†ุง ุถุฑุจุช ุงู„ุทุฑู
1748
+
1749
+ 438
1750
+ 00:47:45,610 --> 00:47:50,850
1751
+ ุงู„ูŠู…ูŠู† ููŠ ู‚ุฏุงุดุŒ ููŠ ู†ุต ู†ุต ู…ู‚ู„ ูˆูƒู†ุณุชู†ุŒ ู‡ู„ ูŠุบูŠุฑ ู…ู†
1752
+
1753
+ 439
1754
+ 00:47:50,850 --> 00:47:56,220
1755
+ ุงู„ุดูƒู„ ุงู„ุนุงู… ู„ู„ุญู„ุŸุจุบูŠุฑุŸ ู„ู† ูŠุบูŠุฑ ู…ู† ุงู„ุดูƒู„ ุงู„ุนุงู…ู„ุŒ
1756
+
1757
+ 440
1758
+ 00:47:56,220 --> 00:48:01,900
1759
+ ูŠูƒูˆู† ุงู„ุฃุตู„ ู†ู‚ุณู… ุนู„ูŠู‡ ูˆู‡ูƒุฐุง ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู‡ุฐุง ู„ู† ูŠุบูŠุฑ
1760
+
1761
+ 441
1762
+ 00:48:01,900 --> 00:48:06,340
1763
+ ููŠ ุงู„ุดูƒู„ ุงู„ุนุงู…ู„ ุงู„ุญู„ ุนู„ู‰ ุงู„ุฅุทู„ุงู‚ ุทุจ ุงูุฑุถ ูƒุงู†ูˆุง
1764
+
1765
+ 442
1766
+ 00:48:06,340 --> 00:48:11,090
1767
+ ุงู„ุชู„ุงุช ุชุฑู…ุงุช ูˆุงู„ู„ู‡ ุฃุฑุจุนุฉุŒ ูƒู„ ูˆุงุญุฏ ุดูƒู„ู…ุด ุนู„ุงู‚ุฉ
1768
+
1769
+ 443
1770
+ 00:48:11,090 --> 00:48:14,650
1771
+ ุจูŠู†ู‡ู… ุจุฏู„ ุงู„ู…ุนุงุฏู„ุฉ ู‡ู… ูŠุฌุจ ุฃู† ุชูƒุชุจ 3 ุฃูˆ 4 ู…ุนุงุฏู„ุฉ
1772
+
1773
+ 444
1774
+ 00:48:14,650 --> 00:48:19,870
1775
+ ุญุณุจ ูˆุถุน ุงู„ู…ุณุฃู„ุฉ ุทุจ ุชุนุงู„ู‰ ู†ุดูˆู ูƒูŠู ุจุฏู†ุง ู†ูƒู…ู„ ุจุนุฏ
1776
+
1777
+ 445
1778
+ 00:48:19,870 --> 00:48:25,510
1779
+ ุฐู„ูƒ ูŠุจู‚ู‰ ุงู†ุง ู‚ุณู…ุช ู…ุณุฃู„ุชูŠ ุตุงุฑุช ู„ูŠ ู…ุณุฃู„ุฉ ูƒู„ู‡ ูˆ ุงู„ุขู†
1780
+
1781
+ 446
1782
+ 00:48:25,510 --> 00:48:30,270
1783
+ ุจุฏุนูŠ ุงู„ู…ุณุฃู„ุชูŠู† ู…ุด ูˆุงุญุฏุฉ ุชู…ุงู… ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„ู…ุณุฃู„ุฉ
1784
+
1785
+ 447
1786
+ 00:48:30,270 --> 00:48:34,930
1787
+ ุงู„ุฃูˆู„ู‰ ุจุฏู†ุง ู†ุฌูŠุจ ุงู„ particular solution ูˆ ู‡ุฑูˆุญ
1788
+
1789
+ 448
1790
+ 00:48:34,930 --> 00:48:43,620
1791
+ ุฃุณู…ูŠู‡ Y1 of Tู‡ุฐู‡ ูƒู…ูŠุฉ ุงู„ู…ุฌุฏุฏุงุด ุงุฐุง ุจุฏูŠ ุงูƒุชุจ ูƒู…ูŠุฉ
1792
+
1793
+ 449
1794
+ 00:48:43,620 --> 00:48:44,320
1795
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1796
+
1797
+ 450
1798
+ 00:48:44,320 --> 00:48:47,620
1799
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1800
+
1801
+ 451
1802
+ 00:48:47,620 --> 00:48:50,300
1803
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1804
+
1805
+ 452
1806
+ 00:48:50,300 --> 00:48:50,380
1807
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1808
+
1809
+ 453
1810
+ 00:48:50,380 --> 00:48:51,740
1811
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1812
+
1813
+ 454
1814
+ 00:48:51,740 --> 00:48:56,180
1815
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด
1816
+
1817
+ 455
1818
+ 00:48:56,180 --> 00:49:03,000
1819
+ ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏุฏุงุด ุงู„ู…ุฌุฏ
1820
+
1821
+ 456
1822
+ 00:49:03,520 --> 00:49:07,740
1823
+ ูŠุจู‚ู‰ ู‡ุฐู‡ polynomial ู…ู† ุงู„ุฏุฑุฌุงุช ุงู„ุซุงู†ูŠุฉ ูˆ ู„ูˆ ุงู†ู‡
1824
+
1825
+ 457
1826
+ 00:49:07,740 --> 00:49:10,680
1827
+ ู…ุงุนู†ุฏูŠุด ุงู„ุง term ูˆุงุญุฏ ูˆ ู‡ุฏูˆู„ุฉ ุทูŠุฑุงุช ูŠุจู‚ู‰ ุจุฏูƒ
1828
+
1829
+ 458
1830
+ 00:49:10,680 --> 00:49:15,840
1831
+ ุชูƒุชุจูŠู‡ุง ูƒุงู…ู„ุฉ ูˆ ู‚ุฏ ู…ุง ูŠุทู„ุน ุงู„ constants ู‡ุฏูˆู„ ูŠุทู„ุน
1832
+
1833
+ 459
1834
+ 00:49:15,840 --> 00:49:22,720
1835
+ ุทูŠุจ ุจุฏู†ุง ู†ูŠุฌูŠ ู‡ุฐู‡ ุจุฏูŠ ุฃุณู…ูŠู‡ุง Y2 of T ูŠุจู‚ู‰ T to the
1836
+
1837
+ 460
1838
+ 00:49:22,720 --> 00:49:29,600
1839
+ power S ููŠ ู…ุฏู‡ุฌุฉ ุฃุดูˆู ุจุฑุถู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ู‡ุฐูŠ
1840
+
1841
+ 461
1842
+ 00:49:29,600 --> 00:49:33,700
1843
+ constant ููŠู‡ sign ุจุฏูŠ ุฃู‚ูˆู„ constant ููŠู‡ signุฒุงุฆุฏ
1844
+
1845
+ 462
1846
+ 00:49:33,700 --> 00:49:40,100
1847
+ ูƒูˆู†ุณุชุงู†ุช ููŠ ูƒูˆุณุงูŠู† ุจุญูŠุซ ูˆู„ุง ูƒูˆู†ุณุชุงู†ุช ู…ู† ู‡ุฏูˆู„ ุจูŠูƒูˆู†
1848
+
1849
+ 463
1850
+ 00:49:40,100 --> 00:49:47,720
1851
+ ู…ูˆุฌูˆุฏ ู‡ู†ุงูƒ ุฅุฐุง ู‡ู†ุง ุจุงุฌูŠ ุจู‚ูˆู„ ู‡ุฐู‡ a sin t ุฒุงุฆุฏ b ููŠ
1852
+
1853
+ 464
1854
+ 00:49:47,720 --> 00:49:53,400
1855
+ cos t ูˆู„ุง ูƒูˆู†ุณุชุงู†ุช ู…ู† ู‡ู†ุง ู‡ูˆ ู†ูุณ ุงู„ูƒูˆู†ุณุชุงู†ุช ุงู„ู„ูŠ
1856
+
1857
+ 465
1858
+ 00:49:53,400 --> 00:49:58,260
1859
+ ู‡ู†ุงุงู„ุงู† ุจุชุฑูˆุญ ุงุฏูˆุฑ ุนู„ู‰ S ู‡ู†ุง ูˆ S ู‡ู†ุง ูƒุฏุงุด ุชุณุงูˆูŠ
1860
+
1861
+ 466
1862
+ 00:49:58,260 --> 00:50:04,180
1863
+ ุจุงุฌูŠ ุจุทู„ุน ุบุทูŠ ู‡ุฐูŠ ูˆ ุจุงุฌูŠ ู„ู„ู…ู‚ุฏุงุฑ ุจูŠู† ุงู„ู‚ูˆุณูŠู† ููŠ ุงูŠ
1864
+
1865
+ 467
1866
+ 00:50:04,180 --> 00:50:11,580
1867
+ ุชุดุงุจู‡ ุจูŠู† ู‡ู†ุง ูˆ ู‡ู†ุง ูŠุจู‚ู‰ S ุจู‚ุฏุงุด Zero ูŠุจู‚ู‰ ู‡ู†ุง S
1868
+
1869
+ 468
1870
+ 00:50:11,580 --> 00:50:19,910
1871
+ ุชุณุงูˆูŠ Zero ุทุจ ูˆ ู‡ู†ุงุŸ ุจุฏู‡ุฌุฉ ุงุดูˆูููŠ ุชุดุงุจู‡ ู…ุง ุจูŠู† ู‡ู†ุง
1872
+
1873
+ 469
1874
+ 00:50:19,910 --> 00:50:26,630
1875
+ ูˆ ู…ุง ุจูŠู† ู‡ู†ุง ูŠุจู‚ู‰ ูƒู…ุงู† S ุจุฒูŠุฑูˆ ูŠุจู‚ู‰ ู‡ู†ุง ูƒู…ุงู† S
1876
+
1877
+ 470
1878
+ 00:50:26,630 --> 00:50:33,930
1879
+ ุจุฒูŠุฑูˆ ูŠุจู‚ู‰ ุฃุตุจุญ capital Y1 of T ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰
1880
+
1881
+ 471
1882
+ 00:50:33,930 --> 00:50:44,050
1883
+ ุจุฏู‡ ูŠุณูˆู‰ A0 T ุชุฑุจูŠู‡ ุฒุงุฆุฏ A1T ุฒุงุฆุฏ A2 ูˆ capital Y2
1884
+
1885
+ 472
1886
+ 00:50:44,050 --> 00:50:46,470
1887
+ of T ุจุฏู‡ ูŠุณูˆู‰ ู…ู†
1888
+
1889
+ 473
1890
+ 00:51:15,510 --> 00:51:21,310
1891
+ Y1Y1Y1Y1Y1Y1Y1Y1Y1ุจุฏู†ุง y2 prime as a function of t
1892
+
1893
+ 474
1894
+ 00:51:21,310 --> 00:51:30,690
1895
+ ูŠุจู‚ู‰ a cosine t ู†ุงู‚ุต b ููŠ sine t ุจุฏู†ุง y2 double
1896
+
1897
+ 475
1898
+ 00:51:30,690 --> 00:51:36,730
1899
+ prime as a function of t ูŠุจู‚ู‰ ู†ุงู‚ุต a ููŠ sine t
1900
+
1901
+ 476
1902
+ 00:51:36,730 --> 00:51:45,160
1903
+ ู†ุงู‚ุต b ููŠ cosine ู…ู† tุงู„ู„ูŠ ููˆู‚ ุณู…ูŠู†ุงู‡ุง star
1904
+
1905
+ 477
1906
+ 00:51:45,160 --> 00:51:49,540
1907
+ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐูŠ ูŠุณู…ูŠู‡ุง 1 ูŠุง ุจู†ุงุชูŠ ูˆุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐูŠ
1908
+
1909
+ 478
1910
+ 00:51:49,540 --> 00:51:55,460
1911
+ ูŠุณู…ูŠู‡ุง ู„ู…ูŠู† ุงุชู†ูŠู† ูŠุจู‚ู‰ ู‡ุฏูˆู„ ุจุชุฏุนูˆุถู‡ู… ููŠ ุงู„ู…ุนุงุฏู„ุฉ
1912
+
1913
+ 479
1914
+ 00:51:55,460 --> 00:52:00,320
1915
+ ูˆุงุญุฏ ูˆุงู„ู„ูŠ ู‡ู†ุงูƒ ุจุชุฏุนูˆุถู‡ู… ุงูŠู† ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงุชู†ูŠู†
1916
+
1917
+ 480
1918
+ 00:52:00,320 --> 00:52:07,620
1919
+ ูŠุจู‚ู‰ ุจุฏุงุฌูŠ ุงู‚ูˆู„ู‡ ุตุญ ุจุงุณู… substitute in equation
1920
+
1921
+ 481
1922
+ 00:52:07,620 --> 00:52:15,170
1923
+ one we getู†ุฌู„ ุงู„ equation ูˆ ู†ู‚ู„ 2y double prime
1924
+
1925
+ 482
1926
+ 00:52:15,170 --> 00:52:19,830
1927
+ ูˆูŠู† ุงู„ y double primeุŸ ู‡ุง ูŠุนู†ู‰ุŒ ู†ุฑูˆุญ ููŠู‡ ูƒู…ุงู† ู…ูŠู†ุŸ
1928
+
1929
+ 483
1930
+ 00:52:19,830 --> 00:52:27,330
1931
+ ุงุชู†ูŠู†ุŒ ูŠุจู‚ู‰ ู‡ุงูŠ ุงุฑุจุนุฉ ุงู†ู‡ุงู†ุŒ ุฎู„ุตู†ุง ู…ู†ู‡ุงุŒ ู‚ู„ ุฒุงุฆุฏ
1932
+
1933
+ 484
1934
+ 00:52:27,330 --> 00:52:33,780
1935
+ ุชู„ุงุชุฉ y primeุฒุงุฆุฏ ุชู„ุงุชุฉ y prime ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ุฏุฑูˆุจุฉ
1936
+
1937
+ 485
1938
+ 00:52:33,780 --> 00:52:42,280
1939
+ ููŠ ู…ู†ุŸ ููŠ ุชู„ุงุชุฉ ูŠุจู‚ู‰ ุฒุงุฆุฏ ุณุชุฉ a naught t ุฒุงุฆุฏ
1940
+
1941
+ 486
1942
+ 00:52:42,280 --> 00:52:50,580
1943
+ ุชู„ุงุชุฉ a oneู‡ุถุฑุจู‡ุง ููŠ ุชู„ุงุชุฉ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุฒุงุฆุฏ Y ูŠุจู‚ู‰
1944
+
1945
+ 487
1946
+ 00:52:50,580 --> 00:53:02,100
1947
+ Y ุงู„ู„ูŠ ููˆู‚ ูŠุจู‚ู‰ ุฒุงุฆุฏ A0 T ุชุฑุงุจูŠุน ุฒุงุฆุฏ A1 T ุฒุงุฆุฏ A2
1948
+
1949
+ 488
1950
+ 00:53:02,100 --> 00:53:05,740
1951
+ ูƒู„ู‡ ุจุฏู‡ ูŠุณูˆูˆุง ู…ูŠู† ุงู„ T ุชุฑุงุจูŠุน
1952
+
1953
+ 489
1954
+ 00:53:07,820 --> 00:53:13,980
1955
+ ู†ู…ุณูƒ ุงู„ุชุงู†ูŠุฉ ุจุงู„ู…ุฑุฉ yw prime ู‡ูŠู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ูˆุงู„ู„ู‡
1956
+
1957
+ 490
1958
+ 00:53:13,980 --> 00:53:17,520
1959
+ ููŠ ุงุชู†ูŠู† ู‡ูŠ ู„ุฃ ุงุชู†ูŠู† yw prime ู„ู‚ุฏ ุงุถุฑุจ ู‡ุฐู‡ ููŠ
1960
+
1961
+ 491
1962
+ 00:53:17,520 --> 00:53:25,700
1963
+ ุงุชู†ูŠู† ูŠุจู‚ู‰ ู‡ู†ุง ุจุงู„ุฏุงุฌุฉ ูˆ ุงู‚ูˆู„ ู„ุตุงุจุณ ุชุช ูŠูˆุช and
1964
+
1965
+ 492
1966
+ 00:53:25,700 --> 00:53:32,700
1967
+ equation ุงุชู†ูŠู† ูˆูŠู‚ู„ ุทุจุนุง ุงู„ุดุฑูƒุฉ ู†ุฎู„ุต ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ
1968
+
1969
+ 493
1970
+ 00:53:32,700 --> 00:53:40,910
1971
+ ู†ู…ุณูƒ ู‡ุฐู‡ุทุงู„ูŠู„ุฉ ู‡ู†ุง ุงุฑุจุนุฉ a node ูˆู‡ูŠ ุชู„ุงุชุฉ a one
1972
+
1973
+ 494
1974
+ 00:53:40,910 --> 00:53:46,810
1975
+ ู‡ุฏูˆู„ ุงู„ constants ูŠุจู‚ู‰ ุงุฑุจุนุฉ a node ุฒุงุฆุฏ ุชู„ุงุชุฉ a
1976
+
1977
+ 495
1978
+ 00:53:46,810 --> 00:53:57,390
1979
+ one ุจู†ูŠุง ุณุชุฉ a node ุชูŠ ูŠุจู‚ู‰ ุฒุงุฆุฏ ุณุชุฉ a node ุฒุงุฆุฏ
1980
+
1981
+ 496
1982
+ 00:53:57,390 --> 00:54:01,410
1983
+ ุงู‡ ุงุณุชู†ูŠ ููŠ a two ูŠุง ุจู†ุงุชูŠ ูˆู‡ู†ุง
1984
+
1985
+ 497
1986
+ 00:54:03,510 --> 00:54:09,210
1987
+ ุฒุงุฆุฏ A2 ุงู„ู„ูŠ ู‡ูˆ ุงู„ุซูˆุงุจุช ุฒุงุฆุฏ A2 ู‡ุฐู‡ ุงู„ุซูˆุงุจุช
1988
+
1989
+ 498
1990
+ 00:54:09,210 --> 00:54:15,310
1991
+ ุฃุฎุฏู†ุงู‡ู… ู…ุน ุจุนุถ ู‡ุฐู‡ ููŠู‡ุง T ูˆู‡ุฐู‡ ููŠู‡ุง T ูŠุจู‚ู‰ ุฒุงุฆุฏ
1992
+
1993
+ 499
1994
+ 00:54:15,310 --> 00:54:27,230
1995
+ 6A0 ุฒุงุฆุฏ A1 ูƒู„ู‡ ููŠ T ุฎู„ุตู†ุง ู…ู†ู‡ุง ุฒุงุฆุฏ A0 T ุชุฑุจูŠุน
1996
+
1997
+ 500
1998
+ 00:54:27,230 --> 00:54:33,400
1999
+ ูƒู„ู‡ ุจูŠุณูˆูŠ T ุชุฑุจูŠุนุจุฏู†ุง ู†ู‚ุงุฑู† ุงู„ู…ุนุงู…ู„ุงุช ููŠ ุงู„ุทุฑููŠู†
2000
+
2001
+ 501
2002
+ 00:54:35,590 --> 00:54:41,550
2003
+ ูŠุจู‚ู‰ ุงู„ a naught ูƒุฏู‡ ุชุณุงูˆูŠุŸ ูŠุจู‚ู‰ a naught ุชุณุงูˆูŠ
2004
+
2005
+ 502
2006
+ 00:54:41,550 --> 00:54:49,850
2007
+ ูˆุงุญุฏ ุงู„ุงู† ุณุชุฉ a naught ุฒุงุฆุฏ a one ุชุณุงูˆูŠ ูƒุฏู‡ุŸ Zero
2008
+
2009
+ 503
2010
+ 00:54:49,850 --> 00:54:57,690
2011
+ a naught ูƒุฏู‡ุŸ ูˆุงุญุฏ ูŠุจู‚ู‰ ู‡ุฐุง ูŠุนุทูŠูƒ ุงู† a one ูŠุณุงูˆูŠ
2012
+
2013
+ 504
2014
+ 00:54:57,690 --> 00:55:05,950
2015
+ ูƒุฏู‡ุŸ ุณุงู„ุจ ุณุชุฉุงู„ุงู† ุงุฑุจุนุฉ a node ุฒุงุฆุฏ ุชู„ุงุชุฉ a one
2016
+
2017
+ 505
2018
+ 00:55:05,950 --> 00:55:10,710
2019
+ ุฒุงุฆุฏ a two ุจุฏู‡ ูŠุณุงูˆูŠ zero ู„ุฃู†ู‡ ู…ุงุนู†ุฏูŠุด ู‡ู†ุง
2020
+
2021
+ 506
2022
+ 00:55:10,710 --> 00:55:17,550
2023
+ constant ุชู…ุงู… ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู„ูŠ ุญุตู„ุชู‡ุง ุฏูŠ ุนู„ูŠู‡ุง ู‡ู†ุงู‡ุง
2024
+
2025
+ 507
2026
+ 00:55:17,550 --> 00:55:22,530
2027
+ ุจุฏู‡ ุงุณุชุฎุฏู…ู‡ุง ููŠ ู…ูŠู† ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชุงู„ุชุฉ ูŠุจู‚ู‰ a
2028
+
2029
+ 508
2030
+ 00:55:22,530 --> 00:55:28,990
2031
+ node ุจูˆุงุญุฏ ุจุถู„ ุงุฑุจุนุฉูˆู‡ู†ุฏูƒ a1 ุจู†ุงู‚ุต 6 ูŠุจู‚ู‰ ู†ุงู‚ุต 3
2032
+
2033
+ 509
2034
+ 00:55:28,990 --> 00:55:40,990
2035
+ ููŠ 6 ุจ 18 ุฒุงุฆุฏ a2 ูŠุณุงูˆูŠ 0 ูŠุจู‚ู‰ a2 ูŠุณุงูˆูŠ a2 ุจุฏู‡
2036
+
2037
+ 510
2038
+ 00:55:40,990 --> 00:55:45,770
2039
+ ูŠุณุงูˆูŠ ู‡ู†ุง ุจูŠุจู‚ู‰ ู†ุงู‚ุต 14 ูˆุฏูŠู‡ุง ุนู„ู‰ ุงู„ุดุฌุฑุฉ ุงู„ุชุงู†ูŠุฉ
2040
+
2041
+ 511
2042
+ 00:55:45,770 --> 00:55:54,680
2043
+ ุจุตูŠุฑ 14 ูŠุจู‚ู‰ ุฃุตุจุญ capital Y1 of 3ุงู„ู„ูŠ ููˆู‚ ุจุฏู‡ุดูŠู„
2044
+
2045
+ 512
2046
+ 00:55:54,680 --> 00:56:00,620
2047
+ ุงู„ a ู†ู‚ุทุฉ ูˆุญุท ุจุฏู„ 1 ูŠุจู‚ู‰ ุจูˆุถุน ุงู„ T ุชุฑุจูŠุน ุจุฏู‡ุดูŠู„ ุงู„
2048
+
2049
+ 513
2050
+ 00:56:00,620 --> 00:56:08,060
2051
+ a1 ูˆุญุท ู…ูƒุงู†ู‡ุง ู†ุงู‚ุต 6T ุงูˆ ุจุฏู‡ุดูŠู„ ุงู„ a2 ูˆุญุท ู…ูƒุงู†ู‡ุง
2052
+
2053
+ 514
2054
+ 00:56:08,060 --> 00:56:13,760
2055
+ ุฌุฏุงุด 14 ุงู„ู„ูŠ ุนู…ู„ู†ุงู‡ ู‡ู†ุง ุจุฏู‡ุฑูˆุญ ู†ูƒุฑุฑ ุงู„ู…ุนุงุฏู„ุฉ
2056
+
2057
+ 515
2058
+ 00:56:13,760 --> 00:56:19,310
2059
+ ุงู„ุชุงู†ูŠุฉูŠุจู‚ู‰ ุจุฏุงุฌุฉ ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ุงุชู†ูŠู† ู„ุงู† ุงุชู†ูŠู† y w
2060
+
2061
+ 516
2062
+ 00:56:19,310 --> 00:56:26,030
2063
+ prime ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุชุถุฑุจู‡ุง ููŠ ู‚ุฏุงุดุŸ ููŠ ุงุชู†ูŠู† ูŠุจู‚ู‰ ุณุงู„ุจ
2064
+
2065
+ 517
2066
+ 00:56:26,030 --> 00:56:34,430
2067
+ ุงุชู†ูŠู† a sine t ุณุงู„ุจ ุงุชู†ูŠู† b cosine t ุชู„ุงุชุฉ ููŠ ุงู„ y
2068
+
2069
+ 518
2070
+ 00:56:34,430 --> 00:56:41,040
2071
+ prime ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุชุถุฑุจู‡ุง ููŠ ุชู„ุงุชุฉ ุฒุงุฆุฏ ุชู„ุงุชุฉA cosine
2072
+
2073
+ 519
2074
+ 00:56:41,040 --> 00:56:50,320
2075
+ of T ู†ุงู‚ุต ุชู„ุงุชุฉ B sine of T ุจุนุฏู‡ุง ุฒุงุฆุฏ Y Y ู‡ูŠ ููˆู‚
2076
+
2077
+ 520
2078
+ 00:56:50,320 --> 00:56:58,080
2079
+ ูŠุจู‚ู‰ ุฒุงุฆุฏ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† A ููŠ sine of T ุฒุงุฆุฏ B ููŠ
2080
+
2081
+ 521
2082
+ 00:56:58,080 --> 00:57:06,900
2083
+ cosine of T ูƒู„ู‡ ุจุฏู‡ ูŠุณุงูˆูŠ ุชู„ุงุชุฉ ููŠ sine of Tู†ุฌูŠ
2084
+
2085
+ 522
2086
+ 00:57:06,900 --> 00:57:13,380
2087
+ ู†ุดูˆู ุณุงู„ุจ ุงุชู†ูŠู† ุงูŠู‡ ุงู„ sign ุงู„ุชูŠ ูˆ ุงูŠู‡ ุงู„ sign
2088
+
2089
+ 523
2090
+ 00:57:13,380 --> 00:57:21,840
2091
+ ุงู„ุชูŠ ู…ุงููŠุด ุบูŠุฑู‡ุง ูŠุจู‚ู‰ ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ุจุถู„ ู†ุงู‚ุต ุงูŠู‡ ููŠ ุงู„
2092
+
2093
+ 524
2094
+ 00:57:21,840 --> 00:57:33,250
2095
+ sign ุงู„ุชูŠู†ู‚ุต ุงุชู†ูŠู† ุจูŠ ูƒูˆุตูŠู† ุงู„ T ูˆ ุจูŠ ูƒูˆุตูŠู† ุงู„ T ูˆ
2096
+
2097
+ 525
2098
+ 00:57:33,250 --> 00:57:41,570
2099
+ ุจูŠ ูƒูˆุตูŠู† ุงู„ T ุจุธู„ ู†ุงู‚ุต ุจูŠ ููŠ ูƒูˆุตูŠู† ุงู„ T ูŠุจู‚ู‰ ู‡ุฐู‡ ูˆ
2100
+
2101
+ 526
2102
+ 00:57:41,570 --> 00:57:48,790
2103
+ ู‡ุฐู‡ ุฑุงุญุฉ ุจุธู„ ุนู†ุฏูƒ ุชู„ุงุชุฉ A ูƒูˆุตูŠู† ุงู„ T ุฒุงุฆุฏ ุชู„ุงุชุฉ A
2104
+
2105
+ 527
2106
+ 00:57:48,790 --> 00:58:00,520
2107
+ ูƒูˆุตูŠู† ุงู„ Tู†ุงู‚ุต ุชู„ุงุชุฉ ุจูŠ ููŠ ุตูŠู† ุงู„ T ุจุฏูŠ ุฃุฌู…ุน
2108
+
2109
+ 528
2110
+ 00:58:00,520 --> 00:58:07,220
2111
+ ุงู„ู„ูŠ ููŠู‡ู… ุตูŠู† ู…ุน ุจุนุถ ูŠุจู‚ู‰ ูŠุง ุจู†ุงุช ู‡ุงูŠ ู†ุงู‚ุต A ูˆ
2112
+
2113
+ 529
2114
+ 00:58:07,220 --> 00:58:18,500
2115
+ ู†ุงู‚ุต ุชู„ุงุชุฉ ุจูŠ ูƒู„ู‡ ููŠ ุตูŠู† ุงู„ T ูˆ ุฒุงุฆุฏ ุชู„ุงุชุฉ Aู†ู‚ุต B
2116
+
2117
+ 530
2118
+ 00:58:18,500 --> 00:58:26,900
2119
+ ููŠ cos T ุจูŠูƒูˆู† ุซู„ุงุซุฉ sin T ู†ุนู…ู„ ู…ู‚ุงุฑู†ุฉ ู…ุง ุจูŠู†
2120
+
2121
+ 531
2122
+ 00:58:26,900 --> 00:58:39,380
2123
+ ุงู„ุทุฑููŠู† ูŠุจู‚ู‰ ู†ุงู‚ุต B ู†ุงู‚ุต A ู†ุงู‚ุต A ู†ุงู‚ุต ุซู„ุงุซุฉ B ููŠ
2124
+
2125
+ 532
2126
+ 00:58:39,380 --> 00:58:43,680
2127
+ sin T ุจูŠูƒูˆู† ุซู„ุงุซุฉ
2128
+
2129
+ 533
2130
+ 00:58:44,360 --> 00:58:51,220
2131
+ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุชู„ุงุชุฉ a ู†ุงู‚ุต ุงู„ b ุจุฏู‡ ูŠุณุงูˆูŠ ูƒุฏู‡ุงุด zero
2132
+
2133
+ 534
2134
+ 00:58:51,220 --> 00:58:55,580
2135
+ ู„ุฅู† ู…ุงุนู†ุฏูŠุด cosine ุนู„ู‰ ุงู„ุดุฌุฉ ุงู„ุชุงู†ูŠุฉ ู…ุนุงุฏู„ุชูŠู†
2136
+
2137
+ 535
2138
+ 00:58:55,580 --> 00:58:59,860
2139
+ ุจู…ุฌู‡ูˆู„ูŠู† ุจุฏูŠ ุฃุญู„ ุงู„ู…ุนุงุฏู„ุชูŠู† ู‡ุฏูˆู„ ู…ุน ุจุนุถ ูˆ ุฃุดูˆู
2140
+
2141
+ 536
2142
+ 00:58:59,860 --> 00:59:05,160
2143
+ ูƒุฏู‡ุงุด ุงู„ู†ุชุฌุฉ ุฃู‚ูˆู„ ู„ูˆ ุฑูˆุญุช ุถุฑุจุช ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ููŠ
2144
+
2145
+ 537
2146
+ 00:59:05,160 --> 00:59:13,780
2147
+ ุชู„ุงุชุฉ ุจุตูŠุฑ ู†ุงู‚ุต ุชู„ุงุชุฉ a ู†ุงู‚ุต ุชุณุนุฉ b ุจุฏู‡ ูŠุณุงูˆูŠ ุชุณุนุฉ
2148
+
2149
+ 538
2150
+ 00:59:14,090 --> 00:59:20,990
2151
+ ูˆู‡ู†ุง ู‡ุฐู‡ ุฎู„ุชู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ู†ุงู‚ุต B ูŠุณุงูˆูŠ Zero ูˆุฌูŠุช
2152
+
2153
+ 539
2154
+ 00:59:20,990 --> 00:59:26,910
2155
+ ุฌู…ุงุนุฉ ุจูŠุฑูˆุญูˆุง ู‡ุฏูˆู„ ู…ุน ุจุนุถ ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุตูŠุฑ ู†ุงู‚ุต ุนุดุฑุฉ
2156
+
2157
+ 540
2158
+ 00:59:26,910 --> 00:59:36,930
2159
+ B ูŠุณุงูˆูŠ ุชุณุนุฉ ูˆู…ู†ู‡ุง B ูŠุณุงูˆูŠ ู†ุงู‚ุต ุชุณุนุฉ ุนุดุฑ ุฌุจุช ุงู„ B
2160
+
2161
+ 541
2162
+ 00:59:36,930 --> 00:59:44,850
2163
+ ุจุฑูˆุญ ุฃุฌูŠุจ ู…ู† ุงู„ A ูŠุจู‚ู‰ ุงู„ Aุจู‚ุฏุฑ ุงุฌูŠุจู‡ุง ู…ู† ู‡ู†ุง ู…ู†
2164
+
2165
+ 542
2166
+ 00:59:44,850 --> 00:59:54,190
2167
+ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ 3A ุจุฏู‡ ูŠุณุงูˆูŠ B ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด ู†ุงู‚ุต 9
2168
+
2169
+ 543
2170
+ 00:59:54,190 --> 01:00:01,750
2171
+ ุนู„ู‰ 10ุจุฏูŠ ุงูŠู‡ุŸ ุจู‚ุณู… ูƒู„ู‡ ุนู„ู‰ ู‚ุฏุงุด ุนู„ู‰ ุชู„ุงุชุฉ ูŠุจู‚ู‰
2172
+
2173
+ 544
2174
+ 01:00:01,750 --> 01:00:09,610
2175
+ ุงูŠู‡ุŸ ุจู†ุงู‚ุต ุชู„ุงุชุฉ ุนู„ู‰ ุนุดุฑุฉ ูˆู‡ุฐู‡ ู…ูŠู†ุŸ ู‡ุฐู‡ ุงู„ B ุงู„ู„ูŠ
2176
+
2177
+ 545
2178
+ 01:00:09,610 --> 01:00:18,290
2179
+ ุนู†ุฏู†ุง ุงุฐุง ุงู†ุตุงุฑ capital Y2 of t ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ a
2180
+
2181
+ 546
2182
+ 01:00:18,290 --> 01:00:26,790
2183
+ ุนู†ุฏูŠ ุจู†ุงู‚ุต ุชู„ุงุชุฉ ุนู„ู‰ ุนุดุฑุฉ ููŠ sin t ูˆ ุงู„ b ุณุงู„ุจ
2184
+
2185
+ 547
2186
+ 01:00:26,790 --> 01:00:37,670
2187
+ ุชุณุนุฉ ุนุดุฑ ุณุงู„ุจ ุชุณุนุฉ ุนู„ู‰ ุนุดุฑุฉ ุซู…ูŠู† ููŠ cos t ุทูŠุจ ุฌุจุช
2188
+
2189
+ 548
2190
+ 01:00:37,670 --> 01:00:43,890
2191
+ y ูˆุงุญุฏ ูˆ ุฌุจุช y ุงุชู†ูŠู†ู…ุฌู…ูˆุน ุงุชู†ูŠู† ุจูŠูƒูˆู‘ู„ ู„ู…ูŠู† ุงู„
2192
+
2193
+ 549
2194
+ 01:00:43,890 --> 01:00:48,610
2195
+ particular solution ูŠุจู‚ู‰ ุจุตูŠุฑ ุงู„ particular
2196
+
2197
+ 550
2198
+ 01:00:48,610 --> 01:00:55,770
2199
+ solution capital Y of T ูŠุณุงูˆูŠ Y one of T ุฒุงุฆุฏ Y
2200
+
2201
+ 551
2202
+ 01:00:55,770 --> 01:01:06,100
2203
+ two of T ูˆูŠุณุงูˆูŠ T ุชุฑุจูŠุน ู…ุงู‚ุต ุณุชุฉ T ุฒุงุฏ ุงุฑุจุนุชุงุดุฑู†ู‚ุต
2204
+
2205
+ 552
2206
+ 01:01:06,100 --> 01:01:13,640
2207
+ ุชู„ุงุชุฉ ุนู„ู‰ ุนุดุฑุฉ sine T ู†ู‚ุต ุชุณุนุฉ ุนู„ู‰ ุนุดุฑุฉ cosine ู…ู†
2208
+
2209
+ 553
2210
+ 01:01:13,640 --> 01:01:23,220
2211
+ cosine T ุจุฏู†ุง ุงู„ general solution ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡
2212
+
2213
+ 554
2214
+ 01:01:23,220 --> 01:01:33,100
2215
+ the general solution of
2216
+
2217
+ 555
2218
+ 01:01:34,090 --> 01:01:51,350
2219
+ Equation star is Y ูŠุณูˆู‰ C1 Y1 C2 Y2 Y of T ูŠุจู‚ู‰ Y
2220
+
2221
+ 556
2222
+ 01:01:51,350 --> 01:02:04,550
2223
+ ูŠุณูˆู‰ C1 ููŠ E ุฃุณ ู†ุงู‚ุต T C2 ููŠ E ุฃุณ ู†ุงู‚ุต T ุนู„ู‰ 2ุฒุงุฆุฏ
2224
+
2225
+ 557
2226
+ 01:02:04,550 --> 01:02:10,590
2227
+ ุงู„ particular solution ูŠุจู‚ู‰ ุฒุงุฆุฏ T ุชุฑุจูŠุฉ ู†ุงู‚ุต ุณุชุฉ
2228
+
2229
+ 558
2230
+ 01:02:10,590 --> 01:02:22,570
2231
+ T ุฒุงุฆุฏ ุฃุฑุจุนุฉ ุนุดุฑ ู†ุงู‚ุต ุซู„ุงุซุฉ ุนู„ู‰ ุนุดุฑุฉ sin T ู†ุงู‚ุต
2232
+
2233
+ 559
2234
+ 01:02:22,570 --> 01:02:31,510
2235
+ ุชุณุนุฉ ุนู„ู‰ ุนุดุฑุฉ ููŠ cos TูŠุจู‚ู‰ ู‡ุฐุง ุงู„ general solution
2236
+
2237
+ 560
2238
+ 01:02:31,510 --> 01:02:38,150
2239
+ ุชุจุน ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ู‰ ุนู†ุฏู†ุง ุญุฏ ููŠูƒูˆุง ู„ุงูŠู‡ ุงู„ุชุณุงุคู„ุŸ
2240
+
2241
+ 561
2242
+ 01:02:38,150 --> 01:02:41,770
2243
+ ุงุจู‚ู‰ ู„ุงุญุธ ุงู† ุญุณุงุจ ุงู„ constant ุจุฒู‡ุฌ ุดูˆูŠุฉ ูุจุฏูƒ ุชูƒูˆู†
2244
+
2245
+ 562
2246
+ 01:02:41,770 --> 01:02:49,130
2247
+ impatient ุชูƒูˆู† ุตุจูˆุฑุฉ ุดูˆูŠุฉ ู…ุดุงู† ู…ุงุชุฎู„ุทุด ูˆ ุจุดูˆุงุฌู‡
2248
+
2249
+ 563
2250
+ 01:02:49,130 --> 01:02:50,270
2251
+ ุดูˆูŠุฉ ุจุฑุงุญุฉ
2252
+
2253
+ 564
2254
+ 01:02:56,180 --> 01:03:01,340
2255
+ ู…ู…ูƒู† ูŠุฌูŠูƒ ุณุคุงู„ ููŠ ุงู„ุงู…ุชุญุงู† ุจุงู„ุดูƒู„ ู‡ุฐุง ูˆ ุชุถุทุฑูŠ ุชู‚ุณู…
2256
+
2257
+ 565
2258
+ 01:03:01,340 --> 01:03:06,860
2259
+ ุงู„ู…ุนุงุฏู„ุฉ ุฅู„ู‰ ู…ุนุงุฏู„ุชูŠู† ูˆ ู…ู…ูƒู† ูŠุฌูŠูƒ ู…ุจุงุดุฑุฉ ุญู„
2260
+
2261
+ 566
2262
+ 01:03:06,860 --> 01:03:12,400
2263
+ ุงู„ู…ุนุงุฏู„ุฉ ู„ูˆ ู†ุณูƒุช ูˆ ุงู†ุช ุญุฑุฉ ุญู„ ุจุฑุงุญุชูƒ ุชู…ุงู… ูˆ ู…ู…ูƒู†
2264
+
2265
+ 567
2266
+ 01:03:12,400 --> 01:03:16,960
2267
+ ู†ุนุทูŠูƒ ุณุคุงู„ ูˆ ู†ู‚ูˆู„ ูƒุซูŠุฑ ุงู„ particular solution ูˆ
2268
+
2269
+ 568
2270
+ 01:03:16,960 --> 01:03:20,920
2271
+ don't evaluate the constants ู…ุงุชุญุณุจูŠุด ุงู„ constants
2272
+
2273
+ 569
2274
+ 01:03:20,920 --> 01:03:24,920
2275
+ ูƒูŠู ู†ุนุทูŠูƒ ู…ุซุงู„ ุชูˆุถูŠุญูŠ ุนู„ู‰ ุฐู„ูƒ
2276
+
2277
+ 570
2278
+ 01:03:36,060 --> 01:03:45,940
2279
+ ุณุคุงู„ ุงู„ุฑุงุจุน determine a
2280
+
2281
+ 571
2282
+ 01:03:45,940 --> 01:03:50,240
2283
+ suitable form
2284
+
2285
+ 572
2286
+ 01:03:50,240 --> 01:03:57,300
2287
+ ุดูƒู„ ู…ู†ุงุณุจ for the particular solution
2288
+
2289
+ 573
2290
+ 01:04:06,030 --> 01:04:22,070
2291
+ ุนู„ู‰ ุงู„ู…ุญู„ู„ ุงู„ู…ุญุฏุฏ Y of T of ุงู„ุงุฎุชุตุงุฑุงุช
2292
+
2293
+ 574
2294
+ 01:04:22,070 --> 01:04:25,670
2295
+ ุงู„ุชุงู„ูŠุฉ ุงู„ุงุฎุชุตุงุฑุงุช
2296
+
2297
+ 575
2298
+ 01:04:25,670 --> 01:04:29,530
2299
+ ุงู„ุชุงู„ูŠุฉ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช
2300
+
2301
+ 576
2302
+ 01:04:29,530 --> 01:04:30,850
2303
+ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช
2304
+
2305
+ 577
2306
+ 01:04:30,850 --> 01:04:33,430
2307
+ ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช ุงู„ุงุฎุชุตุงุฑุงุช
2308
+
2309
+ 578
2310
+ 01:04:35,340 --> 01:04:40,740
2311
+ the constants ุชุญุณุจูŠุด
2312
+
2313
+ 579
2314
+ 01:04:40,740 --> 01:04:48,880
2315
+ ุงู„ุซูˆุงุจุช ู†ู…ุฑุง A ุณุคุงู„ ุนุดุฑูŠู† ู…ู† ุงู„ูƒุชุงุจ ูŠู‚ูˆู„ ูŠูˆ ุงูŠ
2316
+
2317
+ 580
2318
+ 01:04:48,880 --> 01:04:57,360
2319
+ ุฏุงุจู„ุฑ prime ุฒุงุฆุฏ Y ูŠุณุงูˆูŠ T ููŠ ูˆุงุญุฏ ุฒุงุฆุฏ ุตูŠู†ุฉ T
2320
+
2321
+ 581
2322
+ 01:05:30,140 --> 01:05:36,480
2323
+ ุณุคุงู„ ู…ุฑุฉ ุชุงู†ูŠุฉ ุจูŠู‚ูˆู„ู„ูŠ ุญุฏุฏู„ูŠ ุดูƒู„ ู…ู†ุงุณุจ suitable
2324
+
2325
+ 582
2326
+ 01:05:36,480 --> 01:05:41,780
2327
+ form ู„ู…ูŠู† ู„ู„ particular solution capital Y of T
2328
+
2329
+ 583
2330
+ 01:05:41,780 --> 01:05:46,460
2331
+ ู„ูƒู„ ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุชุงู†ูŠุฉ ูˆู‚ุงู„ู„ูŠ don't
2332
+
2333
+ 584
2334
+ 01:05:46,460 --> 01:05:49,660
2335
+ evaluate the consonants ู„ูˆ ุจุฏู†ุงุด ู‡ูŠูƒ ุชุญุงุณุจ ุงู„
2336
+
2337
+ 585
2338
+ 01:05:49,660 --> 01:05:54,180
2339
+ consonants ุจู†ูƒุชุจ ู„ูƒุงุฏุจูŠู† ุฌูˆุณูŠู†ู‡ ุจุฎุท ุบุงู…ุฌ ุญุชู‰ ูƒู„
2340
+
2341
+ 586
2342
+ 01:05:54,180 --> 01:05:57,700
2343
+ ูˆุงุญุฏ ู…ุด ุชุฑูˆุญ ุชู‚ุนุฏ ุชู‚ุนุฏ ุชุญุงุณุจู‡ ู„ุถูŠุน ุงู„ูˆู‚ุช ููŠู‡ุงุจูŠูƒูˆู†
2344
+
2345
+ 587
2346
+ 01:05:57,700 --> 01:06:00,620
2347
+ ุงู„ุณุคุงู„ ู…ู‚ุตุต ู„ุฎู…ุณ ุฏู‚ุงุฆู‚ ุจุฏูŠ ูƒู„ู‡ ุนุดุฑ ุฏู‚ุงุฆู‚ ูˆู„ุง ุฑุจุน
2348
+
2349
+ 588
2350
+ 01:06:00,620 --> 01:06:03,660
2351
+ ุณุงุนุฉ ู…ุดุงู† ู†ุฌูŠุจ ุงู„ูƒูˆู† ูˆุตู„ุง ู„ุง ุงุญู†ุง ุจุฏู†ุงุด ุงุญู†ุง ุจุฏู†ุงุด
2352
+
2353
+ 589
2354
+ 01:06:03,660 --> 01:06:07,560
2355
+ ุจุชุนุฑู ุงุชุฌูŠุจูŠ ุดูƒู„ ุงู„ particular solution ูˆู„ุง ู„ุฃ
2356
+
2357
+ 590
2358
+ 01:06:07,560 --> 01:06:12,240
2359
+ ุชู…ุงู… ุงุนุทุงู†ูŠ ุงูˆู„ ู…ุซู„ุฉ ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ุจู‚ูˆู„ู‡
2360
+
2361
+ 591
2362
+ 01:06:12,240 --> 01:06:15,900
2363
+ ูƒูˆูŠุณ ู‡ุฐู‡ ู‡ูŠ ุจุงู„ุดูƒู„ ู‡ุฐุง ู„ูƒู† ุงุญู†ุง ู…ุงุดูˆูู†ุงุด ููŠ ุงู„ู…ุซุงู„
2364
+
2365
+ 592
2366
+ 01:06:15,900 --> 01:06:20,200
2367
+ ูˆุงุญุฏ ุฒูŠ ุงู„ sign ุงู„ T ู„ูƒู† ุงู†ุง ุจู‚ุฏุฑ ุงูƒุชุจ ู‡ุฐู‡ ุนู„ู‰
2368
+
2369
+ 593
2370
+ 01:06:20,200 --> 01:06:26,890
2371
+ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ T ุฒูŠ T ููŠ sign ุงู„ TูŠุจู‚ู‰ ููƒู‘ูŠุช ุงู„ุฌูˆุต
2372
+
2373
+ 594
2374
+ 01:06:26,890 --> 01:06:33,030
2375
+ ูˆุจุงู„ุชุงู„ูŠ ุตุงุฑ ุดูƒู„ู‡ ู…ู„ูˆูƒ ูŠุจู‚ู‰ ุฃู†ุง ุจุฏุงุฌูŠ ุฃุฎุฏ solution
2376
+
2377
+ 595
2378
+ 01:06:33,030 --> 01:06:37,610
2379
+ ุจุฏู‡ ุฃุญู„ ุงู„ homogeneous ููŠ ุงู„ุฃูˆู„ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡
2380
+
2381
+ 596
2382
+ 01:06:37,610 --> 01:06:48,490
2383
+ let Y ุชุณุงูˆูŠ E ุฃุณ RT ุจ solution of the differential
2384
+
2385
+ 597
2386
+ 01:06:48,490 --> 01:06:59,540
2387
+ equation ุงู„ู„ูŠ ู‡ูˆ YW primeุฒุงุฆุฏ Y ุชุณุงูˆูŠ Zerothen the
2388
+
2389
+ 598
2390
+ 01:06:59,540 --> 01:07:08,900
2391
+ characteristic equation is R ุชุฑุจูŠุน ุฒุงุฆุฏ ูˆุงุญุฏ ูŠุณุงูˆูŠ
2392
+
2393
+ 599
2394
+ 01:07:08,900 --> 01:07:14,520
2395
+ ูƒู…ุŸ Zero ุฅูŠุด ุฑุฃูŠูƒุŸ real ูˆู„ุง complexุŸ complex ูŠุจู‚ู‰
2396
+
2397
+ 600
2398
+ 01:07:14,520 --> 01:07:21,440
2399
+ ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠู†ุง ุงู† R ุชุณุงูˆูŠ ุฒุงุฆุฏ ุงูˆ ู†ุงู‚ุต ู…ู† I ุจู†ุงุก
2400
+
2401
+ 601
2402
+ 01:07:21,440 --> 01:07:24,880
2403
+ ุนู„ูŠู‡ ุตุงุฑ ุญู„ ุงู„ู‡ู…ูˆุฌูŠู†ูŠุง ุตุบูŠุฑ C
2404
+
2405
+ 602
2406
+ 01:07:32,960 --> 01:07:39,040
2407
+ ุจุงุฑูŠูˆุฒูŠู„ูˆ ูˆุญู†ุฑุฌุน ุจุนุฏ ู‚ู„ูŠู„ ู†ู‚ุงุฑู† ู…ุนุงู‡ ุงู„ู„ูŠ ู‚ุงู„ ุจุฏู†ุง
2408
+
2409
+ 603
2410
+ 01:07:39,040 --> 01:07:42,760
2411
+ ู†ุฑูˆุญ ู†ุฏูˆุฑ ุนู„ู‰ ุงู„ particle solution ูุจุฏูŠ ุจุทู„ ุนู„ู‰
2412
+
2413
+ 604
2414
+ 01:07:42,760 --> 01:07:46,540
2415
+ ุดูƒู„ ุงู„ู…ุนุงุฏู„ุฉ ุจู†ูุน ุฃุฎู„ูŠู‡ุง ู…ุนุงุฏู„ุฉ ูˆุงุญุฏุฉ ูˆ ุงู„ู„ู‡ ุบูŠุฑ
2416
+
2417
+ 605
2418
+ 01:07:46,540 --> 01:07:51,160
2419
+ ุฃุญูˆู„ู‡ุง ู„ู…ุนุงุฏู„ุชูŠู† ูŠุจู‚ู‰ ู…ุด ุฅู…ูƒุงู†ูŠุฉ ุฅู„ุง ู†ุญูˆู„ู‡ุง ุฅู„ู‰
2420
+
2421
+ 606
2422
+ 01:07:51,160 --> 01:07:57,950
2423
+ ู…ุนุงุฏู„ุชูŠู† ู‡ุฐู‡ ุณู…ูŠู‡ุง ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… starูุจุฑูˆุญ ุจู‚ูˆู„ู‡
2424
+
2425
+ 607
2426
+ 01:07:57,950 --> 01:08:09,470
2427
+ the differential equation star is written as ุจุฑูˆุญ
2428
+
2429
+ 608
2430
+ 01:08:09,470 --> 01:08:17,300
2431
+ ุจูƒุชุจู‡ุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ู‡ู…ูŠู†YW' ุฒุงุฆุฏ Y ูŠุณุงูˆูŠ
2432
+
2433
+ 609
2434
+ 01:08:17,300 --> 01:08:27,620
2435
+ T ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชุงู†ูŠุฉ ุงู„ YW' ุฒุงุฆุฏ Y ูŠุณุงูˆูŠ T ููŠ ุตูŠู† ุงู„
2436
+
2437
+ 610
2438
+ 01:08:27,620 --> 01:08:35,080
2439
+ T ุงู„ุขู† ุจุฏู†ุง ู†ุฌูŠุจ ุงู„ particular solution Y1 of T
2440
+
2441
+ 611
2442
+ 01:08:35,740 --> 01:08:41,260
2443
+ ุจู‚ูˆู„ู‡ T to the power S ููŠู‡ ู‡ุฐูŠ polynomial ู…ู†
2444
+
2445
+ 612
2446
+ 01:08:41,260 --> 01:08:49,060
2447
+ ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ูŠุจู‚ู‰ ุจุฑูˆุญ ุจู‚ูˆู„ู‡ A naught T ุฒุงุฆุฏ A1
2448
+
2449
+ 613
2450
+ 01:08:49,060 --> 01:08:56,940
2451
+ ุชู…ุงู… ุจุงู„ู…ุฑุฉ ู†ุญุณุจ ุงู„ S ุทุงู„ุน ู‡ุฐู‡ ููŠ ุฃูŠ term ุจุดุจู‡ู‡ุง
2452
+
2453
+ 614
2454
+ 01:08:56,940 --> 01:09:04,380
2455
+ ูŠุจู‚ู‰ ุงู„ S ุจู‚ุฏุงุดูŠุจู‚ู‰ ู‡ู†ุง ุงู„ S ุจุฏุง ุชุณุงูˆูŠ Zero ูŠุจู‚ู‰
2456
+
2457
+ 615
2458
+ 01:09:04,380 --> 01:09:12,720
2459
+ capital Y one of T ุตุงุฑ A naught T ุฒุงุฆุฏ A one ู†ุฌูŠู„ู‡
2460
+
2461
+ 616
2462
+ 01:09:12,720 --> 01:09:21,120
2463
+ ุชุงู†ูŠ ู‡ุฐูŠ ุจุฏูŠ ุฃุฌูŠู„ capital Y two of T ูŠุจู‚ู‰ T to the
2464
+
2465
+ 617
2466
+ 01:09:21,120 --> 01:09:27,940
2467
+ power S ููŠู‡ ู‡ุฐูŠ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„
2468
+
2469
+ 618
2470
+ 01:09:27,940 --> 01:09:32,380
2471
+ signูŠุจู‚ู‰ ุจุฏูŠ ุงูƒุชุจ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ
2472
+
2473
+ 619
2474
+ 01:09:32,380 --> 01:09:36,780
2475
+ sin ุฒุงุฆุฏ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ cosine
2476
+
2477
+ 620
2478
+ 01:09:36,780 --> 01:09:42,340
2479
+ ูƒู…ุงู„ูƒ ุชู…ุงู… ุชู…ุงู… ูŠุจู‚ู‰ ู…ุด ู‡ุฑูˆุญ ุงูƒุชุจ ุฅูŠู‡ุงุช ู„ุฅู† ุฅูŠู‡ุงุช
2480
+
2481
+ 621
2482
+ 01:09:42,340 --> 01:09:47,250
2483
+ ูƒุชุจู†ุงู‡ู… ู‡ู†ุง ู…ูŠู†ูุนุด ุงูƒุชุจู‡ู… ุฅูŠู‡ุงุชูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ ูŠุจู‚ู‰
2484
+
2485
+ 622
2486
+ 01:09:47,250 --> 01:09:58,470
2487
+ B node T ุฒุงุฆุฏ B1 ููŠ ู…ูŠู†ุŸ ููŠ ุตูŠู† ุงู„ู€T ุฒุงุฆุฏ ุฃูƒุชุจ C
2488
+
2489
+ 623
2490
+ 01:09:58,470 --> 01:10:04,030
2491
+ ุจู†ูุนู„ C node ูˆ C1 ู‡ูŠ ุนู†ุฏ C1 ูˆ C2 ุจุตูŠุฑ ุชู†ุงู‚ุถ ููŠู…ุง
2492
+
2493
+ 624
2494
+ 01:10:04,030 --> 01:10:09,970
2495
+ ุจูŠู†ู‡ู… ุฅุฐุง ุจุฑูˆุญ ุจูƒุชุจ D node ูˆ ูƒุฏู‡ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจูƒุชุจู‡ุง
2496
+
2497
+ 625
2498
+ 01:10:25,920 --> 01:10:27,320
2499
+ D0D1D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0D0
2500
+
2501
+ 626
2502
+ 01:10:28,000 --> 01:10:35,620
2503
+ ู‡ูŠ ุจูŠ ุชูŠ ููŠ ุตูŠู† ุงู„ T ู…ุงุนู†ุฏูŠุด ุจูŠ ุชูŠ ููŠ ุตูŠู† ุงู„ T ุทูŠุจ
2504
+
2505
+ 627
2506
+ 01:10:35,620 --> 01:10:40,560
2507
+ ุนู†ุฏูŠ ุจูŠ ูˆู† ููŠ ุตูŠู† ูŠุนู†ูŠ constant ููŠ ุตูŠู† ุงู‡ ุนู†ุฏูŠ
2508
+
2509
+ 628
2510
+ 01:10:40,560 --> 01:10:46,200
2511
+ constant ู‡ูŠูˆ ููŠ ุตูŠู† ุจุงู„ู…ุซู„ ุนู†ุฏูŠ constant ููŠ ู…ูŠู† ููŠ
2512
+
2513
+ 629
2514
+ 01:10:46,200 --> 01:10:51,980
2515
+ cos ุจุฌู‡ S ู„ุงูŠู…ูƒู† ุงู† ุชุณูˆู‰ ู…ู† ุงู„ zero ู„ุฅู† ููŠ ุชุดุงุจู‡
2516
+
2517
+ 630
2518
+ 01:10:51,980 --> 01:10:56,960
2519
+ ุจูŠุตูŠุฑ ู…ุง ุจูŠู† ุงู„ุญุงู„ูŠู†ูŠุจู‚ู‰ ุงู†ุง ุจุฏู‰ ุงุญุท ู„ุณู‡ ุจู‚ุฏุงุด ู„ูˆ
2520
+
2521
+ 631
2522
+ 01:10:56,960 --> 01:11:03,520
2523
+ ุญุทูŠุชู‡ุง ุจูˆุงุญุฏ ุจุตูŠุฑ B not T ุชุฑุงุจูŠุน ููŠ ุฒูŠู‡ุง ููŠ sign
2524
+
2525
+ 632
2526
+ 01:11:03,520 --> 01:11:10,720
2527
+ ุจุตูŠุฑ B one T sign ุงู„ T ููŠ ุฒูŠู‡ุง ู„ุฃ ูˆุงู„ุชุงู†ูŠุฉ ุฒูŠู‡
2528
+
2529
+ 633
2530
+ 01:11:10,720 --> 01:11:16,100
2531
+ ูˆุฏู„ูˆู‚ุชูŠ ุจู…ุด ูŠุจู‚ู‰ S ู‡ู†ุง ุจู‚ุฏุงุด ุจูˆุงุญุฏ ูŠุจู‚ู‰ ุงู„ S ุชุณุงูˆูŠ
2532
+
2533
+ 634
2534
+ 01:11:16,100 --> 01:11:23,060
2535
+ ูˆุงุญุฏ ูŠุจู‚ู‰ ุฃุตุจุญ capital Y of TุจุฏูŠ ุงุณุงูˆูŠ B not T
2536
+
2537
+ 635
2538
+ 01:11:23,060 --> 01:11:33,840
2539
+ ุชุฑุจูŠู‡ ุฒุงุฆุฏ B 1 T ููŠ sin T ุฒุงุฆุฏ D not T ุชุฑุจูŠู‡ ุฒุงุฆุฏ
2540
+
2541
+ 636
2542
+ 01:11:33,840 --> 01:11:43,050
2543
+ D 1 T ููŠ cosine ู…ู† ููŠ cosine Tุฅุฐุง ู…ุง ุจู‚ุฏุฑ ุฃุฌูŠุจ ุดูƒู„
2544
+
2545
+ 637
2546
+ 01:11:43,050 --> 01:11:46,170
2547
+ ุงู„ particular solution ูˆ ุงู„ู„ู‡ ุฑูˆุญ ุฃุฏูˆุฑ ุนู„ู‰ ุงู„
2548
+
2549
+ 638
2550
+ 01:11:46,170 --> 01:11:50,430
2551
+ constant ู‡ูˆ ุฑูŠุญู†ูŠ ู‚ุงู„ ู„ูŠ don't value the constantุŒ
2552
+
2553
+ 639
2554
+ 01:11:50,430 --> 01:11:54,890
2555
+ ุชุญุณุจุด ุงู„ constantุŒ ุบูŠุฑ ู‡ูŠูƒุŒ ูˆ ู‚ุงู„ ู„ูŠ ู‡ุงุชู„ูŠ ุดูƒู„ ุงู„
2556
+
2557
+ 640
2558
+ 01:11:54,890 --> 01:12:00,700
2559
+ particular solution ุฃูƒุชุฑ ุฃู…ูƒ ุจุฏูˆุดู„ูƒู† ุงู†ุง ุงุชูุฑุฌ ุงู†
2560
+
2561
+ 641
2562
+ 01:12:00,700 --> 01:12:05,720
2563
+ ุงุญู„ ุงู„ homogeneous ู„ุงู†ู‡ ูŠุฌุจ ุงู† ูŠุชุฑุชุจ ุนู„ู‰ ุดูƒู„ ุงู„ุญู„
2564
+
2565
+ 642
2566
+ 01:12:05,720 --> 01:12:09,260
2567
+ ุงู„ homogeneous ุดูƒู„ ุงู„ particle of solution ูˆ ู„ูˆ
2568
+
2569
+ 643
2570
+ 01:12:09,260 --> 01:12:12,320
2571
+ ุงู†ู‡ ู…ุงู‚ุงู„ูŠุด ุญู„ ุงู„ homogeneous ูŠุจู‚ู‰ ุงุฌุจุงุฑูŠ ุงุนู…ู„ู‡
2572
+
2573
+ 644
2574
+ 01:12:12,320 --> 01:12:19,280
2575
+ ูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠ ูŠุตุงุฑ capital Y of T ุงู„ู„ูŠ ุจุฏูˆูŠุง ูˆ
2576
+
2577
+ 645
2578
+ 01:12:19,280 --> 01:12:26,100
2579
+ capital Y1 of T ุฒุงุฆุฏ capital Y2 of TูŠุจู‚ู‰ ุงู„
2580
+
2581
+ 646
2582
+ 01:12:26,100 --> 01:12:31,140
2583
+ particular solution y of t ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ y one ุงู„ู„ูŠ
2584
+
2585
+ 647
2586
+ 01:12:31,140 --> 01:12:38,640
2587
+ ู‡ูˆ ุงู„ a not t ุฒุงุฆุฏ ุงู„ a one ุงู„ y two ูŠุจู‚ู‰ ุฒุงุฆุฏ b
2588
+
2589
+ 648
2590
+ 01:12:38,640 --> 01:12:49,900
2591
+ not t ุชุฑุจูŠุน ุฒุงุฆุฏ b one t ููŠ ู…ู† ููŠ ุตูŠู†ุฉ t ุฒุงุฆุฏ d
2592
+
2593
+ 649
2594
+ 01:12:49,900 --> 01:12:58,650
2595
+ not t ุชุฑุจูŠุน ุฒุงุฆุฏ d one t ููŠ ู…ู†ููŠ cos T ูŠุจู‚ู‰ ู‡ุฐุง ุงู„
2596
+
2597
+ 650
2598
+ 01:12:58,650 --> 01:13:03,990
2599
+ particular solution ุงู„ู„ูŠ ุจุฏู‡ ุฅูŠุงู‡ ุงู„ู„ูŠ ุจุฏู‡ ุฅูŠุงู‡
2600
+
2601
+ 651
2602
+ 01:13:03,990 --> 01:13:07,830
2603
+ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ุงู†ุช ูŠุง ุฃู†ุง ู…ู† ู‚ุตุฉ ู…ู† ุงู„ particular
2604
+
2605
+ 652
2606
+ 01:13:07,830 --> 01:13:12,840
2607
+ solutionู„ูˆ ู‚ุงู„ ู„ูŠ ู‡ุงุชู„ูŠ ุงู„ general solution ุจุฏูŠ
2608
+
2609
+ 653
2610
+ 01:13:12,840 --> 01:13:17,000
2611
+ ุฃุฑูˆุญ ุฃุญุณุจ ุงู„ constants ุฏูˆู„ ู„ูƒู† ู„ูˆ ู‚ุงู„ ู„ูŠ don't
2612
+
2613
+ 654
2614
+ 01:13:17,000 --> 01:13:20,420
2615
+ evaluate the constants ูˆ ู‡ุงุชู„ูŠ ุงู„ general solution
2616
+
2617
+ 655
2618
+ 01:13:20,420 --> 01:13:24,360
2619
+ ุจุฌู…ุนู„ู‡ ุจุณ ู‡ุฐุง ูˆ ู‡ุฐุงูƒ ูˆ ุจู‚ูˆู„ ู„ู‡ ู‡ุงูŠ ุงู„ general
2620
+
2621
+ 656
2622
+ 01:13:24,360 --> 01:13:28,420
2623
+ solution ูŠุนุทูŠูƒ ุงู„ุนุงููŠุฉ ุชู…ุงู…ุŸ ุจุณ ุฅู† ู…ุง ูƒุชุจู„ูŠุด
2624
+
2625
+ 657
2626
+ 01:13:28,420 --> 01:13:32,520
2627
+ ุจู†ุฌูˆุณูŠู† don't evaluate the constants ุจุฏูƒ ุชุฑูˆุญ
2628
+
2629
+ 658
2630
+ 01:13:32,520 --> 01:13:38,120
2631
+ ูˆุชุญุณุจูŠู‡ู… ุบุตุจุง ุนู†ูƒ ุทูŠุจ ู†ูŠุฌูŠ ู†ุงุฎุฏ ู†ู…ุฑุฉ B ู…ู† ุงู„ุณุคุงู„
2632
+
2633
+ 659
2634
+ 01:13:44,780 --> 01:13:53,220
2635
+ ูŠุจู‚ู‰ ู†ู…ุฑุฉ B ู„ู‡ ุณุคุงู„ 23 ุจูŠู‚ูˆู„
2636
+
2637
+ 660
2638
+ 01:13:53,220 --> 01:13:58,440
2639
+ ู„ูŠู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ู†ูุณ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง
2640
+
2641
+ 661
2642
+ 01:13:58,440 --> 01:14:03,740
2643
+ ุจุฏูŠุด ุฃุบูŠุฑ ู†ุต ู„ุฅู†ู‡ ู‡ุฐุง A ูˆู‡ุฐุง ู†ู…ุฑุฉ B ู…ุจุงุดุฑุฉ Y
2644
+
2645
+ 662
2646
+ 01:14:03,740 --> 01:14:13,520
2647
+ double prime ู†ุงู‚ุต 4Y prime ุฒุงุฆุฏ 4Y ุจุฏู‡ ูŠุณุงูˆูŠ 2T
2648
+
2649
+ 663
2650
+ 01:14:13,520 --> 01:14:22,570
2651
+ ุชุฑุจูŠุนุฃุชู†ูŠู† T ุชุฑุงุจูŠุน ุฒุงุฆุฏ ุฃุฑุจุนุฉ T E ุฃุณ ุงุชู†ูŠู† T
2652
+
2653
+ 664
2654
+ 01:14:22,570 --> 01:14:33,530
2655
+ ุฃุฑุจุนุฉ T E ุฃุณ ุงุชู†ูŠู† T ุฒุงุฆุฏ T Sin ุฒุงุฆุฏ T Sin ุงุชู†ูŠู† T
2656
+
2657
+ 665
2658
+ 01:14:33,530 --> 01:14:36,750
2659
+ ู‡ุฐู‡
2660
+
2661
+ 666
2662
+ 01:14:36,750 --> 01:14:42,840
2663
+ ุณู…ูŠู‡ุง ู„ูŠู‡ ุงู„ equation startูŠุจู‚ู‰ ู‡ุฐุง ุงู„ equation
2664
+
2665
+ 667
2666
+ 01:14:42,840 --> 01:14:47,480
2667
+ star ู†ูุณ ุงู„ู…ุทู„ูˆุจ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ุจุฏู†ุง ู†ุฌูŠุจ ุดูƒู„ ุงู„
2668
+
2669
+ 668
2670
+ 01:14:47,480 --> 01:14:52,700
2671
+ particular solution ุจุฏูˆู† ู…ุง ู†ุญุณุจ man ุจุฏูˆู† ู…ุง ู†ุญุณุจ
2672
+
2673
+ 669
2674
+ 01:14:52,700 --> 01:14:57,760
2675
+ ุงู„ constants ุจุนุฏูŠู† ุจู‚ูˆู„ู‡ ูƒูˆูŠุณ ูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ solution
2676
+
2677
+ 670
2678
+ 01:14:57,760 --> 01:15:00,780
2679
+ ุจุนุฏูŠู†
2680
+
2681
+ 671
2682
+ 01:15:00,780 --> 01:15:12,970
2683
+ ุจู‚ูˆู„ู‡ letY ุชุณุงูˆูŠ E ุฃูุณ RT ุจุฃูŠ solution of the
2684
+
2685
+ 672
2686
+ 01:15:12,970 --> 01:15:22,310
2687
+ differential equation ุงู„ู„ูŠ ู‡ูŠ ู…ุงูŠู† YW ู†ุงู‚ุต ุฃุฑุจุนุฉ Y
2688
+
2689
+ 673
2690
+ 01:15:22,310 --> 01:15:28,670
2691
+ ุฒุงุฆุฏ ุฃุฑุจุนุฉ Y ุชุณุงูˆูŠ Zero ุจุฏู†ุง ู†ุฌูŠุจ ุงู„
2692
+
2693
+ 674
2694
+ 01:15:28,670 --> 01:15:35,990
2695
+ characteristic equation thenThe characteristic
2696
+
2697
+ 675
2698
+ 01:15:35,990 --> 01:15:46,450
2699
+ equation is R ุชุฑุจูŠุน ู†ุงู‚ุต ุฃุฑุจุนุฉ R ุฒุงุฆุฏ ุฃุฑุจุนุฉ ุจุฏู‡
2700
+
2701
+ 676
2702
+ 01:15:46,450 --> 01:15:53,730
2703
+ ูŠุณุงูˆูŠ Zero ู‡ุฐู‡ ุชุนู†ูŠ ุงู† R ู†ุงู‚ุต ุงุชู†ูŠู† ู„ูƒู„ ุชุฑุจูŠุน
2704
+
2705
+ 677
2706
+ 01:15:53,730 --> 01:15:59,710
2707
+ ูŠุณุงูˆูŠ Zero ูŠุจู‚ู‰ repeated rows R ูˆุงุญุฏ ุจุฏู‡ ูŠุณุงูˆูŠ R
2708
+
2709
+ 678
2710
+ 01:15:59,710 --> 01:16:06,860
2711
+ ุงุชู†ูŠู† ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุดูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠู‡ ุญู„ ุงู„ู‡ู…ูˆุฌูŠู†ุณ YC
2712
+
2713
+ 679
2714
+ 01:16:06,860 --> 01:16:17,540
2715
+ C1 ุฒุงุฆุฏ C2T ููŠ E ุฃูˆุณ 2T ุงู„ุขู† ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„
2716
+
2717
+ 680
2718
+ 01:16:17,540 --> 01:16:21,830
2719
+ particular solutionูŠุจู‚ู‰ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู…ุง ุดุงุก ุงู„ู„ู‡
2720
+
2721
+ 681
2722
+ 01:16:21,830 --> 01:16:26,670
2723
+ ู…ุฏุฑุฌุฉ ุชุงู†ูŠุฉ ู…ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ exponential ู…ุฏุฑุฌุฉ
2724
+
2725
+ 682
2726
+ 01:16:26,670 --> 01:16:32,350
2727
+ ุงู„ุฃูˆู„ู‰ ููŠ sine ูŠุนู†ูŠ ู„ู…ุง ู„ู„ุฌุฏูˆู„ ูƒู„ู‡ ุฑุงุญ ูˆู„ุง ู„ุง ูŠุจู‚ู‰
2728
+
2729
+ 683
2730
+ 01:16:32,350 --> 01:16:39,150
2731
+ ู„ู…ุง .. ูŠุนู†ูŠ ุฅุฌุจุงุฑูŠ ุจุฏูŠ ุฃูุตู„ู‡ุง ู„ู‚ุฏุงุด ู„ุชู„ุช ู…ุนุงุฏู„ุงุช
2732
+
2733
+ 684
2734
+ 01:16:39,150 --> 01:16:46,690
2735
+ ู…ุด ุชู†ุชูŠู† ูŠุจู‚ู‰ ุจุฑูˆุญ ุจู‚ูˆู„ู‡ the differential equation
2736
+
2737
+ 685
2738
+ 01:16:46,690 --> 01:16:56,240
2739
+ a staris written as ูŠูƒุชุจ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุงู„ู‡ูŠู…ูŠู†
2740
+
2741
+ 686
2742
+ 01:16:56,240 --> 01:17:07,240
2743
+ yw ู†ุงู‚ุต ุงุฑุจุนุฉ y ุฒุงุฆุฏ ุงุฑุจุนุฉ y ูŠุณุงูˆูŠ ุงุชู†ูŠู† T ุชุฑุจูŠุน ูˆ
2744
+
2745
+ 687
2746
+ 01:17:07,240 --> 01:17:12,110
2747
+ ุจุฏู‡ ุงุณู…ูŠ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏุจุนุฏ ุฐู„ูƒ ู†ุนูŠุฏู‡ุง ูƒู…ุงู†
2748
+
2749
+ 688
2750
+ 01:17:12,110 --> 01:17:27,300
2751
+ ู…ุฑุฉ yw'-4y'ุฒุงุฏ 4y ูŠุณุงูˆูŠ 4t ููŠ e ุฃู‚ุตู‰ 2tู‡ุฐู‡
2752
+
2753
+ 689
2754
+ 01:17:27,300 --> 01:17:36,460
2755
+ ุงู„ู…ุนุงุฏู„ุฉ ู†ุณู…ูŠู‡ุง ุฑู‚ู… 2 ูˆู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ู…ุนุงุฏู„ุฉ YW'-4Y
2756
+
2757
+ 690
2758
+ 01:17:36,460 --> 01:17:46,920
2759
+ 'ุฒุงุฆุฏ 4Y ูŠุณุงู…ุฑ ุทุฑู ุงู„ูŠู…ูŠู† T ููŠ ุตูŠู† 2T ูˆู†ุณู…ูŠ ู‡ุฐู‡
2760
+
2761
+ 691
2762
+ 01:17:46,920 --> 01:17:53,410
2763
+ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 3ุจุฏูŠ ุงุฌูŠุจ ุงู„ particular solution ู„ูƒู„
2764
+
2765
+ 692
2766
+ 01:17:53,410 --> 01:17:57,230
2767
+ ู…ุนุงุฏู„ุฉ ู…ู† ุงู„ู…ุนุงุฏู„ุงุช ุงู„ุซู„ุงุซ
2768
+
2769
+ 693
2770
+ 01:18:19,720 --> 01:18:24,980
2771
+ ุงู†ุง ุจุฑุฌุน ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุจุฏูŠ ุงุฌูŠุจ ุงู„ particular
2772
+
2773
+ 694
2774
+ 01:18:24,980 --> 01:18:32,260
2775
+ solution ูุจุฑูˆุญ ุจู‚ูˆู„ู‡ capital Y1 of T ุจุฏูŠ ูŠุณุงูˆูŠ T
2776
+
2777
+ 695
2778
+ 01:18:32,260 --> 01:18:38,300
2779
+ to the power S ููŠู‡ ู‡ุฐูŠ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ูŠุจู‚ู‰
2780
+
2781
+ 696
2782
+ 01:18:38,300 --> 01:18:47,100
2783
+ ุจุฏุฑูˆุญ ุงู‚ูˆู„ู‡ a ู†ู‚ุทุฉ ุชุฑุจูŠุน ุฒุงุฆุฏ a one T ุฒุงุฆุฏ a two
2784
+
2785
+ 697
2786
+ 01:18:56,030 --> 01:19:01,490
2787
+ ู‡ู„ ุชุดุจู‡ ุงูŠ term ู…ู† ู‡ู†ุง ู„ุฃ ู„ุงู†ู‡ ู…ุงุนู†ุฏูŠุด exponential
2788
+
2789
+ 698
2790
+ 01:19:01,490 --> 01:19:05,150
2791
+ ุตุญูŠุญ ุงู„ู„ูŠ ุจูŠู† ู‚ูˆุณูŠู† ู…ู† ุถุฑ ูŠู‚ูˆู„ูˆุง ุจุณ ู…ุถุฑูˆุจุฉ ููŠ
2792
+
2793
+ 699
2794
+ 01:19:05,150 --> 01:19:08,990
2795
+ exponential ู…ุงุนู†ุฏูŠุด exponential ุนู„ู‰ ุงู„ุงุทู„ุงู‚ ูŠุจู‚ู‰
2796
+
2797
+ 700
2798
+ 01:19:08,990 --> 01:19:15,930
2799
+ ู‡ู†ุง S ุจู‚ุฏุงุด ูŠุจู‚ู‰ ู‡ู†ุง ุจุตูŠุฑ S ุชุณุงูˆูŠ Zero ูŠุจู‚ู‰ ุฃุตุจุญ
2800
+
2801
+ 701
2802
+ 01:19:15,930 --> 01:19:22,850
2803
+ capital Y one of TุจุฏูŠ ุณุงูˆูŠ a not t ุชุฑุจูŠู‡ ุฒุงุฆุฏ a
2804
+
2805
+ 702
2806
+ 01:19:22,850 --> 01:19:30,170
2807
+ one t ุฒุงุฆุฏ a two ุชู‡ูŠู„ุฉ ู…ู†ู‡ุง ู†ูŠุฌูŠ ู„ู‡ุฐู‡ ุจุฏูŠ capital
2808
+
2809
+ 703
2810
+ 01:19:30,170 --> 01:19:37,390
2811
+ Y two of T T to the power S ููŠู‡ุทู„ุนูŠ ู„ู‡ุฐู‡
2812
+
2813
+ 704
2814
+ 01:19:37,390 --> 01:19:42,130
2815
+ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„ exponential ุฅุฐุง
2816
+
2817
+ 705
2818
+ 01:19:42,130 --> 01:19:46,090
2819
+ ุจุฏูŠ ุฃูƒุชุจู‡ุง polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„
2820
+
2821
+ 706
2822
+ 01:19:46,090 --> 01:19:50,510
2823
+ exponential ุจุณ ุจุฑูˆุญุด ุฃุณุชุฎุฏู… ุงู„ุฑู…ูˆุฒ ู‡ุฐู‡ ุจุฏูŠ ุฃุฌูŠุจ
2824
+
2825
+ 707
2826
+ 01:19:50,510 --> 01:20:00,790
2827
+ ุบูŠุฑู‡ุง ูŠุจู‚ู‰ ุจุฑูˆุญ ุจู‚ูˆู„ู‡ B0T ุฒุงุฆุฏ B1 ูƒู„ู‡ุง ููŠ E ุฃุณ
2828
+
2829
+ 708
2830
+ 01:20:00,790 --> 01:20:08,030
2831
+ ุงุชู†ูŠู† Tูˆ ุจุนุฏ ุฐู„ูƒ ุจู‚ูˆู„ ุงุณุชู†ู‰ ุดูˆูŠุฉ ุชุนุงู„ู‰ ู†ุดูˆู ู‚ุฏุงุด
2832
+
2833
+ 709
2834
+ 01:20:08,030 --> 01:20:14,150
2835
+ ุงุณู… ุจุบุทูŠ ู‡ุฐู‡ ูˆ ุจุงุฌู‰ ูู‰ ุงู„ู…ู‚ุฏุงุฑ ุจูŠู† ุงู„ู‚ูˆุณูŠู† ูˆ
2836
+
2837
+ 710
2838
+ 01:20:14,150 --> 01:20:20,210
2839
+ ุจู‚ุงุฑู†ู‡ ู…ุน ุญู„ ุงู„ homogenous differential equation
2840
+
2841
+ 711
2842
+ 01:20:20,210 --> 01:20:24,830
2843
+ ูู‰ constant ููŠู‡ ูŠูˆุณุน ุงุชู†ูŠู† T ูˆ ุงู†ุง ุนู†ุฏ ู‡ู†ุง
2844
+
2845
+ 712
2846
+ 01:20:24,830 --> 01:20:29,490
2847
+ constant ููŠู‡ ูŠูˆุณุน ุงุชู†ูŠู† T ูŠุจู‚ู‰ ููŠู‡ ุชุดุงุจู‡ูŠุจุฏุฃ ุฃุญุท S
2848
+
2849
+ 713
2850
+ 01:20:29,490 --> 01:20:37,070
2851
+ ุจู‚ุฏุงุด ู„ูˆ ุญุทูŠุช S ุจูˆุงุญุฏ ุจุตูŠุฑ B not T ุชุฑุจูŠุน ุชู…ุงู…
2852
+
2853
+ 714
2854
+ 01:20:37,070 --> 01:20:41,750
2855
+ ู…ุงุนู†ุฏูŠุด ุงู„ุญู…ุฏ ู„ู„ู‡ ุชุชุฑุจูŠุน ุจุณ ุจูŠุจู‚ู‰ B one T ููŠ ุงู„
2856
+
2857
+ 715
2858
+ 01:20:41,750 --> 01:20:47,610
2859
+ exponential ู…ูˆุฌูˆุฏ ู‡ู†ุง ูŠุจู‚ู‰ S ุชุณุงูˆูŠ ูˆุงุญุฏ ู„ุง ุชููŠู‡
2860
+
2861
+ 716
2862
+ 01:20:47,610 --> 01:20:53,770
2863
+ ุจุงู„ุบุฑุถ ูˆุฅู†ู…ุง S ุจู‚ุฏุงุด ูŠุจู‚ู‰ ู„ูˆ ุญุทูŠุช S ุชุณุงูˆูŠ ุงุชู†ูŠู†
2864
+
2865
+ 717
2866
+ 01:20:53,770 --> 01:20:58,970
2867
+ ุจุถู„ ุชุดุงุจู‡ ุนู†ุฏูŠู„ุฃ ุงู„ู„ุงุญุธุฉ ู„ู…ุง ูƒุชุจุชู„ูƒ ุงู„ุฌุฏูˆู„ ููŠ
2868
+
2869
+ 718
2870
+ 01:20:58,970 --> 01:21:02,650
2871
+ ุจุฏุงูŠุฉ ุงู„ู…ุนุงุฏู„ุฉ ู‚ูˆู„ุชู„ูƒ S ูŠุง Zero ูŠุง ูˆุงุญุฏ ูŠุง ุงุชู†ูŠู†
2872
+
2873
+ 719
2874
+ 01:21:02,650 --> 01:21:08,190
2875
+ ู„ุง ุชุฒูŠุฏ ุนู„ู‰ ุฐู„ูƒ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู…ู† ุงู„ุฑุชุจุฉ ุงู„ุซุงู†ูŠุฉ ู„ูƒ
2876
+
2877
+ 720
2878
+ 01:21:08,190 --> 01:21:11,650
2879
+ ู„ูˆ ุตุงุฑุช ุชู„ุชุฉ ูˆ ุฑุงุจุนุฉ ูŠู…ูƒู† ุฌูŠุจ ุชู„ุงุชุฉ ุงูˆ ุงุฑุจุนุฉ ุงูˆ
2880
+
2881
+ 721
2882
+ 01:21:11,650 --> 01:21:15,010
2883
+ ุฎู…ุณุฉ ูƒู…ุงู† ุจุณ ู‡ุฐุง ู…ูˆุถูˆุน ุงู„ุดุงุจุชุฑ ุงู„ู„ูŠ ุฌุงูŠ ุงู† ุดุงุก
2884
+
2885
+ 722
2886
+ 01:21:15,010 --> 01:21:19,450
2887
+ ุงู„ู„ู‡ ุงู„ู„ูŠ ู‡ูˆ ุดุงุจุชุฑุฃุฑุจุนุฉ ุชู…ุงู… ูŠุจู‚ู‰ ุงู„ S ุชุณุงูˆูŠ ุงุชู†ูŠู†
2888
+
2889
+ 723
2890
+ 01:21:19,450 --> 01:21:28,070
2891
+ ุฅุฐุง ุตุงุฑ capital Y2 of T ุจุฏู‡ ูŠุณุงูˆู…ูŠู† B0 T ุชูƒูŠูŠุจ
2892
+
2893
+ 724
2894
+ 01:21:28,070 --> 01:21:39,110
2895
+ ุฒุงุฆุฏ B1 T ุชุฑุจูŠุน ููŠ E ุฃุณ ุงุชู†ูŠู† T ุชู…ุงู… ุทูŠุจ ุจุฏู†ุง ู†ูŠุฌูŠ
2896
+
2897
+ 725
2898
+ 01:21:39,110 --> 01:21:47,990
2899
+ ู„ู…ูŠู† ู„ุณุคุงู„ ุฑู‚ู… ุชู„ุงุชุฉุจู†ุฐู‡ุจ ู†ุฌูŠุจ Y3 as a function of
2900
+
2901
+ 726
2902
+ 01:21:47,990 --> 01:21:54,910
2903
+ TูŠุจู‚ู‰ T to the power S ููŠ Polynomial
2904
+
2905
+ 727
2906
+ 01:21:54,910 --> 01:21:59,830
2907
+ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ Sine ุฅุฐุง ุจุงู„ุฒู…ู† Polynomial ู…ู†
2908
+
2909
+ 728
2910
+ 01:21:59,830 --> 01:22:03,710
2911
+ ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ Sine ูˆ Polynomial ู…ู† ุงู„ุฏุฑุฌุฉ
2912
+
2913
+ 729
2914
+ 01:22:03,710 --> 01:22:08,190
2915
+ ุงู„ุฃูˆู„ู‰ ููŠ Cosine ูˆ Exponential ู…ุงู„ู‡ ู…ุงุนู†ุฏูŠุด ูŠุจู‚ู‰
2916
+
2917
+ 730
2918
+ 01:22:08,190 --> 01:22:11,510
2919
+ ุจุฏู†ุง ู†ุฌูŠ ู†ูƒุชุจ Polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ููŠ Sine
2920
+
2921
+ 731
2922
+ 01:22:11,510 --> 01:22:14,770
2923
+ ูˆุงู„ุฑู…ูˆุฒ ุงู„ู„ูŠ ุงุณุชุฎุฏู…ุชู‡ุง ุงู„ุฅูŠู‡ุงุช ูˆุงู„ุจูŠู‡ุงุช ุงู†ุณูˆุง
2924
+
2925
+ 732
2926
+ 01:22:14,770 --> 01:22:19,160
2927
+ ุงู„ู…ูˆุถูˆุนูˆุงู„ุณูŠู‡ุงุช ูŠู„ุญู‚ูˆู‡ู… ู„ุฅู† ุงู„ุณูŠู‡ุงุช ูƒุชุจู†ุงู‡ู… ู‡ู†ุง
2928
+
2929
+ 733
2930
+ 01:22:19,160 --> 01:22:24,440
2931
+ ูŠุจู‚ู‰ ุฏูŠ ูˆ ุฅูŠู‡ ุจู†ุงุฎุฏ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ ู„ู‡ ู‡ุฐู‡ ุจู‚ุฏุฑ
2932
+
2933
+ 734
2934
+ 01:22:24,440 --> 01:22:32,940
2935
+ ุฃูƒุชุจู‡ุง ุฏูŠ ู†ูˆุช ุชูŠ ุฒุงุฆุฏ ุฏูŠ ูˆุงู† ููŠ ุตูŠู† ุงุชู†ูŠู† ุชูŠ ุฒุงุฆุฏ
2936
+
2937
+ 735
2938
+ 01:22:32,940 --> 01:22:41,600
2939
+ ุงูŠ ู†ูˆุช ุชูŠ ุฒุงุฆุฏ ุงูŠ ูˆุงู† ูƒู„ู‡ ููŠ ู‚ุตูŠู† ุงุชู†ูŠู† ุชูŠ
2940
+
2941
+ 736
2942
+ 01:22:41,600 --> 01:22:47,760
2943
+ ูˆู‡ูŠู‚ูู„ู†ุงุจุนุฏ ู‡ูŠูƒ ู‡ุงูŠ ุงู„ู‚ูˆุณ ุงู„ูƒุจูŠุฑ ุจุฏุฃ ู…ู† ู‡ู†ุง ูˆู‚ูู„
2944
+
2945
+ 737
2946
+ 01:22:47,760 --> 01:22:53,860
2947
+ ู‡ู†ุง ูˆ ุงู„ T ุชุฏุจุฑ S ู…ุถุฑูˆุจุฉ ููŠ ุงู„ูƒู„ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุดูˆู ุงู„
2948
+
2949
+ 738
2950
+ 01:22:53,860 --> 01:23:02,880
2951
+ S ู‡ู„ ูŠูˆุฌุฏ ุนู†ุฏูŠ constant ููŠ T ููŠ ุตูŠู†ูŠ 2T constant
2952
+
2953
+ 739
2954
+ 01:23:02,880 --> 01:23:06,360
2955
+ ู…ุงุนู†ุฏูŠุด ุงู„ุญู…ุฏ ู„ู„ู‡ ุงู„ุตูŠู†ูŠ ูˆู„ุง ูƒุชุฑ ูŠุง ุฑูŠุญ ุฏู…ุงุบูƒ
2956
+
2957
+ 740
2958
+ 01:23:06,360 --> 01:23:13,600
2959
+ ุจุงู„ู…ุฑุฉ ูŠุจู‚ู‰ ู‡ู†ุง S ุจู‚ุฏุงุดุŸ0 ูŠุจู‚ู‰ ู‡ู†ุง ุงู„ S ุจุฏู‡ุง ุชุณุงูˆูŠ
2960
+
2961
+ 741
2962
+ 01:23:13,600 --> 01:23:20,200
2963
+ 0 ูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠ Y ุชู„ุงุชุฉ as a function of T ุจุฏู‡
2964
+
2965
+ 742
2966
+ 01:23:20,200 --> 01:23:31,200
2967
+ ูŠุณุงูˆูŠ D NOT T ุฒุงุฆุฏ D 1 ูƒู„ู‡ ููŠ sin 2T ุฒุงุฆุฏ E NOT T
2968
+
2969
+ 743
2970
+ 01:23:31,200 --> 01:23:37,240
2971
+ ุฒุงุฆุฏ E 1 ููŠ cos 2T
2972
+
2973
+ 744
2974
+ 01:23:39,280 --> 01:23:44,600
2975
+ ู‚ุงู„ ู„ูŠ ู‡ุงุช ุงู„ particular solution ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡
2976
+
2977
+ 745
2978
+ 01:23:44,600 --> 01:23:50,060
2979
+ the particular solution
2980
+
2981
+ 746
2982
+ 01:23:50,060 --> 01:24:00,560
2983
+ of equation star is capital Y of T ุจุฏู‡ ูŠุณูˆูŠ
2984
+
2985
+ 747
2986
+ 01:24:00,560 --> 01:24:10,170
2987
+ capital Y1 of T capital Y2 of T ุฒุงุฆุฏcapital Y3 of
2988
+
2989
+ 748
2990
+ 01:24:10,170 --> 01:24:19,350
2991
+ T ูŠุจู‚ู‰ capital Y of T ูŠุจู‚ู‰ ูŠุณุงูˆูŠ ุงู„ุฃูˆู„ุงู† ู‡ูˆ A0 T
2992
+
2993
+ 749
2994
+ 01:24:19,350 --> 01:24:31,950
2995
+ ุชุฑุงุจูŠุน ุฒุงุฆุฏ A1 T ุฒุงุฆุฏ A2 capital Y2 B0 T ุชูƒูŠูŠุจ B0
2996
+
2997
+ 750
2998
+ 01:24:31,950 --> 01:24:46,300
2999
+ T ุชูƒูŠูŠุจ ุฒุงุฆุฏ B0 Tุจ1t ุชุฑุจูŠุน ุจ1t ุชุฑุจูŠุน ููŠ E ุฃุด ุงุชู†ูŠู†
3000
+
3001
+ 751
3002
+ 01:24:46,300 --> 01:24:56,820
3003
+ T E ุฃุด ุงุชู†ูŠู† T ุฒุงุฆุฏ ุงู„ู„ูŠ ุจุนุฏู‡ D ู†ู‚ุฏุฑ T ุฒุงุฆุฏ D one
3004
+
3005
+ 752
3006
+ 01:24:56,820 --> 01:25:00,100
3007
+ ุชู…ุงู… ููŠ Sine ุงุชู†ูŠู† T
3008
+
3009
+ 753
3010
+ 01:25:12,300 --> 01:25:15,500
3011
+ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ particular solution
3012
+
3013
+ 754
3014
+ 01:25:17,530 --> 01:25:21,590
3015
+ ุงู„ุงู† ู„ุญุฏ ู‡ูŠูƒ ุงู†ุชู‡ู‰ ุงู„ section ุงุจู†ุงุช ูˆ ุงู„ู‰ ูŠูƒูˆู†
3016
+
3017
+ 755
3018
+ 01:25:21,590 --> 01:25:30,290
3019
+ ุงุฑู‚ุงู… ุงู„ู…ุณุงุฆู„ ุงูƒุซุฑ ุงู„ sizes ุชู„ุงุชุฉ ุณุชุฉ ุงู„ู…ุณุงุฆู„ ู…ู†
3020
+
3021
+ 756
3022
+ 01:25:30,290 --> 01:25:41,060
3023
+ ูˆุงุญุฏ ู„ุบุงูŠุฉ ุชู…ู†ุชุงุดุฑ ุงู„ evenูˆู…ู† ุชุณุนุฉ ุนุดุฑ ู„ุบุงูŠุฉ ุณุชุฉ
3024
+
3025
+ 757
3026
+ 01:25:41,060 --> 01:25:50,480
3027
+ ูˆุนุดุฑูŠู† part ุงูŠู‡ ูู‚ุท ุจุฏู†ุง ุงู„ odd ูŠุงู„ุง ุฎู„ูŠู‡ู… ู…ุฑุฉ
3028
+
3029
+ 758
3030
+ 01:25:50,480 --> 01:25:57,400
3031
+ even ูˆู…ุฑุฉ odd ุงู„ุงู† ุถุงูŠู„ ุนู†ุฏู†ุง ู‡ูˆ section ุชู„ุงุชุฉ
3032
+
3033
+ 759
3034
+ 01:25:57,400 --> 01:25:57,820
3035
+ ุณุจุนุฉ
3036
+
PL9fwy3NUQKwa8ZDfSFGn6H8xVFLzqmCZC/e5F8lf-FFH0.srt ADDED
@@ -0,0 +1,2761 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:12,160 --> 00:00:15,740
3
+ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุจุฏูŠู†ุง ููŠ section 2-6 ุงู„ exact
4
+
5
+ 2
6
+ 00:00:15,740 --> 00:00:21,680
7
+ equations and integrating factors ูˆุจุฏูŠู†ุง ูู‚ุท ุจุงู„
8
+
9
+ 3
10
+ 00:00:21,680 --> 00:00:26,180
11
+ exact equations ูˆุนุฑูู†ุง ุดุฑุท ุงู„ exactness ูƒุงู„ุชุงู„ูŠ
12
+
13
+ 4
14
+ 00:00:29,810 --> 00:00:38,750
15
+ ู…ูƒุชูˆุจ ู…ุนุงูƒ ุฅุฐุง m of x y dx ุฒุงุฆุฏ n of x y dy ุชุณุงูˆูŠ
16
+
17
+ 5
18
+ 00:00:38,750 --> 00:00:47,950
19
+ zero is exact if and only if ุงู„ู„ูŠ ู‡ูˆ ุงู„ partial m
20
+
21
+ 6
22
+ 00:00:47,950 --> 00:00:55,530
23
+ by partial y ุจุฏู‡ ูŠุณุงูˆูŠ partial n by partial x ู‡ุฐู‡
24
+
25
+ 7
26
+ 00:00:55,530 --> 00:00:59,890
27
+ ุนุจุงุฑุฉ ุนู† ู†ุธุฑูŠุฉ ูˆุจุฑู‡ู†ู‡ุง ูˆู‚ู„ู†ุง ู‡ุฐู‡ ุจุชุณู‡ู„ ุนู…ู„ูŠุฉ
28
+
29
+ 8
30
+ 00:00:59,890 --> 00:01:04,650
31
+ ุฅุซุจุงุช ุฃู† ุงู„ function ู‡ุฐู‡ exact ูˆ ุฃุฎุฐู†ุง ุนู„ู‰ ุฐู„ูƒ
32
+
33
+ 9
34
+ 00:01:04,650 --> 00:01:10,990
35
+ ู…ุซุงู„ู‹ุง ูˆุงุญุฏู‹ุง ุงู„ุขู† ุจู†ุฑูˆุญ ู†ุฃุฎุฐ ุงู„ู…ุซุงู„ ู„ุฑู‚ู… ุงุซู†ูŠู† ูŠุจู‚ู‰
36
+
37
+ 10
38
+ 00:01:10,990 --> 00:01:19,390
39
+ example two/Example 2 ุจูŠู‚ูˆู„
40
+
41
+ 11
42
+ 00:01:19,390 --> 00:01:27,990
43
+ Solve the differential equation ุญู„ ุงู„ู…ุนุงุฏู„ุฉ
44
+
45
+ 12
46
+ 00:01:27,990 --> 00:01:36,890
47
+ ุงู„ุชูุงุถู„ูŠุฉ ุงู„ู…ุนุงุฏู„ุฉ ู…ูˆุถูˆุนุฉ ู„ู„ุดูƒู„ ุงู„ุชุงู„ูŠ Y ููŠ E ุฃุณ XY
48
+
49
+ 13
50
+ 00:01:38,310 --> 00:01:47,910
51
+ ููŠ Cosine 2X ู†ุงู‚ุต 2 E ุฃูุณ XY ููŠ Sine
52
+
53
+ 14
54
+ 00:01:47,910 --> 00:02:00,230
55
+ 2X ุฒุงุฆุฏ 2X ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ููŠ DX ุฒุงุฆุฏ X ููŠ
56
+
57
+ 15
58
+ 00:02:00,230 --> 00:02:05,810
59
+ E ุฃูุณ XY ููŠ Cosine 2X
60
+
61
+ 16
62
+ 00:02:26,140 --> 00:02:32,800
63
+ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ู‡ูŠ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 1 ูŠุจู‚ู‰ ุฃู†ุง ุจุฏูŠ ุฃุจุญุซ ููŠ
64
+
65
+ 17
66
+ 00:02:32,800 --> 00:02:37,280
67
+ ุงู„ุจุฏุงูŠุฉ ู‡ู„ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ exact ูˆุงู„ู„ู‡ ู…ุงู‡ูŠ exact
68
+
69
+ 18
70
+ 00:02:37,280 --> 00:02:41,680
71
+ ุจุงุฌูŠ ู„ุดุฑุท ุงู„ exactness ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููˆู‚ ูŠุจู‚ู‰ ุจุฏูŠ
72
+
73
+ 19
74
+ 00:02:41,680 --> 00:02:49,900
75
+ ุฃุจุญุซ ุนู† partial M by partial Y ูŠุณุงูˆูŠ ู…ุฑุฉ ุงู„ุฅูุงุฏุฉ
76
+
77
+ 20
78
+ 00:02:49,900 --> 00:02:53,800
79
+ ูŠู‚ูˆู„ู†ุง ูŠุง ุจู†ุงุช ุฅุฐุง ุงุญู†ุง ุจู†ูุงุถู„ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูŠุจู‚ู‰
80
+
81
+ 21
82
+ 00:02:53,800 --> 00:03:00,020
83
+ ุจู†ุนุชุจุฑ ุงู„ X ูƒูˆู†ุณุชุงู†ุช ูˆู…ู‚ุฏุงุฑ ุซุงุจุช ุจู†ุฌูŠ ู„ู‡ุฐู‡ ูŠุจู‚ู‰
84
+
85
+ 22
86
+ 00:03:00,020 --> 00:03:07,020
87
+ Cosine 2X ู‡ุฐู‡ ู…ู‚ุฏุงุฑ ุซุงุจุช ุนู†ุฏูŠ ู‡ู†ุง Y ูˆุนู†ุฏูŠ E ุฃุณ XY
88
+
89
+ 23
90
+ 00:03:07,020 --> 00:03:14,070
91
+ ูŠุจู‚ู‰ ุฏูˆู„ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ุฅุฐุง ุฏูˆู„ ู‡ู†ุณุชุฎุฏู… ู…ุดุชู‚ุฉ ุญุงุตู„
92
+
93
+ 24
94
+ 00:03:14,070 --> 00:03:17,850
95
+ ุถุฑุจ ุฏุงู„ุชูŠู† ุงู„ุฃูˆู„ู‰ ููŠ ู…ุดุชู‚ุฉ ุงู„ุซุงู†ูŠุฉ ุฒุงุฆุฏ ุงู„ุซุงู†ูŠุฉ ููŠ ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰
96
+
97
+ 25
98
+ 00:03:17,850 --> 00:03:22,370
99
+ ูŠุจู‚ู‰ ู„ูˆ ุฌูŠู†ุง ู†ุดุชู‚ ุงู„ุฃูˆู„ู‰
100
+
101
+ 26
102
+ 00:03:22,370 --> 00:03:27,130
103
+ ุจุงู„ู†ุณุจุฉ ู„ Y ูŠุจู‚ู‰ ู…ุดุชู‚ุฉ ู‡ุฐู‡ ุจู‚ุฏ ุงูŠุดุŸ ูˆุงุญุฏ ุตุญูŠุญ ุจุตูŠุฑ
104
+
105
+ 27
106
+ 00:03:27,130 --> 00:03:34,730
107
+ ุนู†ุฏูŠ E ุฃุณ XY ููŠ Cos 2X Cos 2X ู„ุฃู†ู‡ ู…ู‚ุฏุงุฑ ุซุงุจุช
108
+
109
+ 28
110
+ 00:03:34,730 --> 00:03:40,360
111
+ ู…ุงู„ูˆุด ุฏุนูˆุฉ ุฒุงุฆุฏ ู‡ุฐู‡ ุงู„ู€ Y ุงู„ู„ูŠ ุจุฑุฉ ูŠุฌุจ ุฃู† ุชูƒูˆู† ุงู„ู€
112
+
113
+ 29
114
+ 00:03:40,360 --> 00:03:44,900
115
+ Exponential ุงู„ู€ Exponential ู…ุดุชู‚ุชู‡ุง ุจู†ูุณู‡ุง ุถุฑุจ
116
+
117
+ 30
118
+ 00:03:44,900 --> 00:03:49,480
119
+ ู…ุดุชู‚ุฉ ุงู„ู€ Os ุชุจุนู‡ุง ุงู„ู€ Os ุจุชุดุชู‚ ุจุงู„ู†ุณุจุฉ ู„ู€ Y
120
+
121
+ 31
122
+ 00:03:49,480 --> 00:03:54,820
123
+ ู…ุดุชู‚ุฉ ุจุงู„ู†ุณุจุฉ ู„ู€ Y ุงู„ู„ูŠ ู‡ูˆ ุจู…ูŠู†ุŸ ุจ X ูŠุจู‚ู‰ ุฒุงุฆุฏ Y
124
+
125
+ 32
126
+ 00:03:54,820 --> 00:03:55,720
127
+ ููŠ X
128
+
129
+ 33
130
+ 00:04:13,620 --> 00:04:20,690
131
+ ูŠุจู‚ู‰ ู†ุงู‚ุต 2X ููŠ E ุฃุณ XY ููŠ Cosine 2X ููŠ
132
+
133
+ 34
134
+ 00:04:20,690 --> 00:04:27,050
135
+ ุงู„ู€ Sine 2X ูˆู…ุดุชู‚ุฉ ู‡ุฐู‡ ุจู‚ุฏ ุงูŠุดุŸ ุจ Zero ุชู…ุงู… ู„ุฅู†
136
+
137
+ 35
138
+ 00:04:27,050 --> 00:04:31,050
139
+ ุงุญู†ุง ุจู†ุดุชู‚ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ุจุนุฏ ุงูŠุดุŸ ุจุฏู†ุง ู†ุฑูˆุญ ู†ุดุชู‚
140
+
141
+ 36
142
+ 00:04:31,050 --> 00:04:35,910
143
+ ุงู„ุฌุฒุก ุงู„ุซุงู†ูŠ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู†ุŸ ู„ X ูŠุจู‚ู‰ ุจุฏูŠ
144
+
145
+ 37
146
+ 00:04:35,910 --> 00:04:42,690
147
+ partial N by partial X ูŠุณุงูˆูŠ ุจุงุฌูŠ ู„ุงุฏุงุฉ ู‡ุฐู‡ ุทู„ุน ู„ูŠ
148
+
149
+ 38
150
+ 00:04:42,690 --> 00:04:48,200
151
+ ุงู„ term ุงู„ุฃูˆู„ ู‡ุฐู‡ ููŠู‡ุง X ูˆู‡ุฐู‡ ููŠู‡ุง X ูˆู‡ุฐู‡ ููŠู‡ุง X
152
+
153
+ 39
154
+ 00:04:48,200 --> 00:04:53,200
155
+ ูŠุนู†ูŠ ู…ุดุชู‚ุฉ ุญุงุตู„ ุถุฑุจ ุชู„ุงุช ุฏูˆุงู„ ู†ุฐูƒุฑ ุงู„ calculus
156
+
157
+ 40
158
+ 00:04:53,200 --> 00:04:57,960
159
+ ุงูŠู‡ุŸ ุจู†ุดุชู‚ ุงู„ุฃูˆู„ู‰ ูˆ ุจู†ุซุจุช ุงู„ุชู†ุชูŠู† ุงู„ุชุงู†ูŠุฉ ุจุนุฏูŠู† ุจู†ุดุชู‚
160
+
161
+ 41
162
+ 00:04:57,960 --> 00:05:01,000
163
+ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ูˆ ุจู†ุซุจุช ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูˆุงู„ู„ูŠ ุจุนุฏู‡ุง ุจุนุฏูŠู†
164
+
165
+ 42
166
+ 00:05:01,000 --> 00:05:05,020
167
+ ุจู†ุดุชู‚ ุงู„ุฃุฎูŠุฑุฉ ูˆ ุจู†ุซุจุช ุงู„ุชู†ุชูŠู† ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ูŠูƒูˆู† ุฎู„ุตู†ุง
168
+
169
+ 43
170
+ 00:05:05,020 --> 00:05:10,930
171
+ ุงู„ุงุดุชู‚ุงู‚ ูŠุจู‚ู‰ ุจุฏู†ุง ู†ุฌูŠ ู†ุดุชู‚ ู‡ุฐู‡ ูƒุงู„ุชุงู„ูŠ ู…ุดุชู‚ุฉ ุงู„ุฃูˆู„ู‰
172
+
173
+ 44
174
+ 00:05:10,930 --> 00:05:20,470
175
+ ุจุชุฑูˆุญ ุจุถู„ ู‚ุฏ ุงูŠุดุŸ ุนู†ุฏูŠ E ุฃุณ XY ููŠ Cos 2X ุจุนุฏ ู‡ูŠูƒ ุฒุงุฆุฏ
176
+
177
+ 45
178
+ 00:05:20,470 --> 00:05:26,010
179
+ X ููŠ ู‡ุฐู‡ ุจุฏูŠ ุฃุดุชู‚ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ X ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ Y
180
+
181
+ 46
182
+ 00:05:26,010 --> 00:05:34,490
183
+ ููŠ E ุฃูุณ XY ููŠ Cos 2X ู‡ูŠูƒ ุงุดุชู‚ูŠู†ุง ุงู„ุฃูˆู„ู‰ ูˆุงู„ุซุงู†ูŠุฉ
184
+
185
+ 47
186
+ 00:05:34,490 --> 00:05:40,330
187
+ ูŠุจู‚ู‰ ุฒุงุฆุฏ ูˆู„ุง ุจุตูŠุฑ ู…ุดุชู‚ุฉ ุงู„ Cosine ุจุณุงู„ุจ Sine ูŠุจู‚ู‰
188
+
189
+ 48
190
+ 00:05:40,330 --> 00:05:42,830
191
+ ุณุงู„ุจ 2X
192
+
193
+ 49
194
+ 00:05:59,140 --> 00:06:03,700
195
+ ุชุนุงู„ ู†ู‚ุงุฑู† ุจูŠู† ูƒู„ ุชุฑู… ู…ู† ุงู„ุชุฑู…ุงุช ุงู„ุซู„ุงุซุฉ
196
+
197
+ 50
198
+ 00:06:07,200 --> 00:06:13,960
199
+ ุงู„ุชุฑู… ุงู„ุซุงู†ูŠ ู‡ูˆ ู†ูุณู‡ ุงู„ุชุฑู… ุงู„ุซุงู„ุซ ู‡ูˆ ู†ูุณู‡ ุชู…ุงู…
200
+
201
+ 51
202
+ 00:06:13,960 --> 00:06:17,900
203
+ ุงู„ุชู…ุงู… ูŠุจู‚ู‰ ุงู„ู‚ูŠู…ุชูŠู† ุตุงุฑูˆุง ุจุงู„ุถุจุท ุฒูŠ ุจุนุถ ูŠุจู‚ู‰
204
+
205
+ 52
206
+ 00:06:17,900 --> 00:06:24,040
207
+ ุจู†ุณุชู†ุชุฌ ู…ู† ุงู„ู‚ูŠู…ุชูŠู† ู‡ุฐูˆู„ ุฃู† partial M by partial Y
208
+
209
+ 53
210
+ 00:06:24,040 --> 00:06:30,580
211
+ ูŠุณุงูˆูŠ partial N by partial X ู‡ุฐุง ุงูŠุด ุจุฏู‡ ูŠุนุทูŠู†ุงุŸ ุจุฏู‡
212
+
213
+ 54
214
+ 00:06:30,580 --> 00:06:35,020
215
+ ูŠุนุทูŠู†ุง ุฃู† ุงู„ differential
216
+
217
+ 55
218
+ 00:06:41,530 --> 00:06:51,330
219
+ ู…ุฏุงู… exact ูŠุจู‚ู‰ there exist a function ุฅุจุณุงู‰ of x ูˆ
220
+
221
+ 56
222
+ 00:06:51,330 --> 00:06:57,850
223
+ y ุจุฏู‡ุง ุชุณุงูˆูŠ constant c such that ุจูŠุญูŠุซ ู„ู†ุง
224
+
225
+ 57
226
+ 00:07:08,170 --> 00:07:22,190
227
+ Y ููŠ E ุฃุณ X Y Y ููŠ E ุฃุณ X Y ููŠ Cos 2X ู†ุงู‚ุต 2 E ุฃุณ
228
+
229
+ 58
230
+ 00:07:22,190 --> 00:07:32,390
231
+ XY ููŠ Sin 2X ุฒุงุฆุฏ 2X ูˆ ุจูุงุถู„ ุงู„ ุฅุจุณุงู‰ ุจุงู„ู†ุณุจุฉ
232
+
233
+ 59
234
+ 00:07:32,390 --> 00:07:40,130
235
+ ุฅู„ู‰ Y ูŠุณุงูˆูŠ ุงู„ term ุงู„ุฃุฎูŠุฑ X E ุฃุณ XY ููŠู‡ Cosine
236
+
237
+ 60
238
+ 00:07:40,130 --> 00:07:48,230
239
+ 2X ู†ุงู‚ุต ุซู„ุงุซุฉ ู…ุฑุฉ
240
+
241
+ 61
242
+ 00:07:48,230 --> 00:07:53,230
243
+ ุซุงู†ูŠุฉ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุนุฑูู†ุง ุงู„ exact equation
244
+
245
+ 62
246
+ 00:07:53,700 --> 00:07:59,220
247
+ ู‚ู„ู†ุง ุงู„ differential equation ุงู„ M DX ุฒุงุฆุฏ ุงู„ N DY
248
+
249
+ 63
250
+ 00:07:59,220 --> 00:08:04,640
251
+ ุจู‚ูˆู„ ุนู†ู‡ุง exact ุฅุฐุง ู‚ุฏุฑุช ุฃู„ุงู‚ูŠ function ฯˆ of XY
252
+
253
+ 64
254
+ 00:08:04,640 --> 00:08:09,800
255
+ ุชุณุงูˆูŠ constant ุจุญูŠุซ ู…ุดุชู‚ุฉ ุงู„ ฯˆ ุจุงู„ู†ุณุจุฉ ู„ X ุจุฏู‡ ูŠุณุงูˆูŠ
256
+
257
+ 65
258
+ 00:08:09,800 --> 00:08:14,970
259
+ ุงู„ M ูˆ ู…ุดุชู‚ุฉ ุงู„ ฯˆ ุจุงู„ู†ุณุจุฉ ู„ Y ุจุฏู‡ ูŠุณุงูˆูŠ 100 ุจุฏูŠ ูŠุณุงูˆูŠ
260
+
261
+ 66
262
+ 00:08:14,970 --> 00:08:23,370
263
+ ุงู„ N ุชู…ุงู…ุŸ ูŠุนู†ูŠ ู‡ุฐู‡ ูƒู„ู‡ุง N ูˆู‡ุฐู‡ ูƒู„ู‡ุง ู…ุฑุฉ ูˆุงุญุฏุฉ ู‡ูŠ
264
+
265
+ 67
266
+ 00:08:23,370 --> 00:08:30,530
267
+ ุนุจุงุฑุฉ ุนู† ู…ูŠู†ุŸ ุนุจุงุฑุฉ ุนู† M ุทูŠุจ ูƒูˆูŠุณุŒ ุงู„ุขู† ุจูˆุถูˆุญ ูƒุงู…ู„
268
+
269
+ 68
270
+ 00:08:30,530 --> 00:08:36,750
271
+ ุฅุญุฏุงู‡ู…ุง ุจู†ูƒู…ู„ ุฃุณู‡ู„ ููŠู‡ู…ุง ูุงู„ุนูŠู„ูŠ ู‡ุฐู‡ ุจุฏู†ุง ู†ูƒู…ู„ู‡ุง
272
+
273
+ 69
274
+ 00:08:36,750 --> 00:08:41,990
275
+ ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู†ุŸ ู„ X ุขู‡ ู‡ุฐู‡ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูˆ ุจุฏู†ุง
276
+
277
+ 70
278
+ 00:08:41,990 --> 00:08:47,180
279
+ ู†ูƒู…ู„ู‡ุง ุงูŠุดุŸ ุงู„ Exponential ููŠ ุงู„ Cosine ุจุฏูŠ ุฃุฑุฌุน ุงู„
280
+
281
+ 71
282
+ 00:08:47,180 --> 00:08:52,020
283
+ Integration by parts ูˆ ุจุฏู‡ุง ู…ุฑุชูŠู† ู†ูƒู…ู„ู‡ุง ูˆุจุนุฏ
284
+
285
+ 72
286
+ 00:08:52,020 --> 00:08:57,100
287
+ ู…ุฑุชูŠู† ุจูŠุทู„ุน ู…ุนูŠ ุฑุงุณูŠ ุงู„ู…ุซู„ ู‚ุตุฉ ุทูˆูŠู„ุฉ ู‡ุฐู‡ ูˆู‡ุฐู‡
288
+
289
+ 73
290
+ 00:08:57,100 --> 00:09:01,700
291
+ ุฒูŠู‡ุง ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุฅุฐุง ุงู„ุชูƒุงู…ู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ X
292
+
293
+ 74
294
+ 00:09:01,700 --> 00:09:06,900
295
+ difficult ุดูˆูŠุฉ ููŠู‡ุง ู†ูˆุน ู…ู† ุงู„ุตุนูˆุจุฉ ู†ุฌูŠ ู„ู‡ุฐู‡ ุจุฏูŠ
296
+
297
+ 75
298
+ 00:09:06,900 --> 00:09:11,120
299
+ ุฃูƒู…ู„ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ Y ู‡ุฐุง ูƒูˆู†ุณุชุงู†ุช ู‡ุฐุง ูƒูˆู†ุณุชุงู†ุช ู‡ุฐุง
300
+
301
+ 76
302
+ 00:09:11,120 --> 00:09:15,830
303
+ ูƒูˆู†ุณุชุงู†ุช ูŠุจู‚ู‰ ุชูƒู…ู„ ู…ู† ุงู„ Exponential ุงู„ู…ุซุงู„ ุชุจุน
304
+
305
+ 77
306
+ 00:09:15,830 --> 00:09:19,910
307
+ ุงู„ู„ูŠ ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุงุชูƒุงู…ู„ู†ุง ุงู„ ุฅุจุณุงู‰ ุจุงู„ู†ุณุจุฉ ู„ X ุงู„ู…ุฑุฉ
308
+
309
+ 78
310
+ 00:09:19,910 --> 00:09:24,550
311
+ ู‡ุฐู‡ ุจุฏู†ุง ู†ุชูƒุงู…ู„ ุงู„ ุฅุจุณุงู‰ ุจุงู„ู†ุณุจุฉ ู„ู‡ุง ุฃุณู‡ู„ ู„ูŠู‡ ูƒุซูŠุฑ ูŠุจู‚ู‰
312
+
313
+ 79
314
+ 00:09:24,550 --> 00:09:31,750
315
+ ู„ูˆ ุฌูŠู†ุง ู†ูƒุงู…ู„ ู‡ุฐู‡ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ ูŠุจู‚ู‰ ุฅุจุณุงู‰ of XY ูŠุณุงูˆูŠ
316
+
317
+ 80
318
+ 00:09:31,750 --> 00:09:36,570
319
+ ูŠุจู‚ู‰ ู…ู† ุชูƒุงู…ู„ ู‡ุฐู‡ ุจุฏู†ุง ู†ูุงุถู„ ุจุงู„ู†ุณุจุฉ ู„ู…ู†ุŸ ู„ Y ุงู„ X
320
+
321
+ 81
322
+ 00:09:36,570 --> 00:09:41,130
323
+ ุซุงุจุช ูˆ ุงู„ Cosine ุซุงุจุช ูˆ ุงู„ Exponential ุชูƒุงู…ู„ู‡ุง ูƒู…ุง
324
+
325
+ 82
326
+ 00:09:41,130 --> 00:09:46,890
327
+ ู‡ูˆ ู…ู‚ุณูˆู…ู‹ุง ุนู„ู‰ ุชูุงุถู„ ุงู„ู…ุดุชู‚ุฉ ุฅุฐุง ูƒุงู†ุช ู…ู† ุงู„ุฏุฑุฌุฉ
328
+
329
+ 83
330
+ 00:09:46,890 --> 00:09:51,470
331
+ ุงู„ุฃูˆู„ู‰ ุทุจุนู‹ุง ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ุจุงู„ู†ุณุจุฉ ู„ Y ุงู„ X
332
+
333
+ 84
334
+ 00:09:51,470 --> 00:09:56,350
335
+ ูŠุนุชุจุฑ ู…ู‚ุฏุงุฑ ุซุงุจุช ูŠุจู‚ู‰ ู†ู‚ุณู… ุนู„ูŠู‡ุŸ ู„ุฃู†ู‡ ุจู†ูƒุงู…ู„
336
+
337
+ 85
338
+ 00:09:56,350 --> 00:10:04,370
339
+ ุจุงู„ู†ุณุจุฉ ู„ Y ูŠุจู‚ู‰ X ููŠ E ุฃุณ 6Y ู…ู‚ุณูˆู…ู‹ุง ุนู„ู‰ X ููŠ Cos
340
+
341
+ 86
342
+ 00:10:04,370 --> 00:10:14,230
343
+ 2X ู†ุงู‚ุต 3Y ุฒุงุฆุฏ ู…ู‚ุฏุงุฑ ุซุงุจุช ุงุญู†ุง ุจู†ูƒุงู…ู„ ุจุงู„ู†ุณุจุฉ ู„ู…ู†ุŸ
344
+
345
+ 87
346
+ 00:10:14,230 --> 00:10:20,930
347
+ ูŠุจู‚ู‰ ุงู„ู…ู‚ุฏุงุฑ ุซุงุจุช ุจุฏู„ุงู„ุฉ ู…ู†ุŸ ุจุฏู‡ุง ุชูƒูˆู† ุฏู„ุงู„ุฉ X ู„ุฅู† X
348
+
349
+ 88
350
+ 00:10:20,930 --> 00:10:27,950
351
+ ูŠุนุชุจุฑ ุซุงุจุช ุจุงู„ู†ุณุจุฉ ู„ Y ูŠูุฌุฃ ุฒุงุฆุฏ F of X ุจุนุฏ ู‡ูŠูƒ
352
+
353
+ 89
354
+ 00:10:27,950 --> 00:10:34,450
355
+ ุจุฏู†ุง ู†ุฑูˆุญ ู†ูุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ X ูˆ ู†ุณุงูˆูŠู‡ุง ุจู…ูŠู†ุŸ ุจุงู„ุชุงู„ูŠ
356
+
357
+ 90
358
+ 00:10:34,450 --> 00:10:39,530
359
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ูŠูุฌุฃ ุจุฏู‡ุง ุชุฃุฎุฐ partial F of Psi by
360
+
361
+ 91
362
+ 00:10:39,530 --> 00:10:44,090
363
+ partial X ุจุฏู‡ุง ุชูุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ X ุทุจุนู‹ุง ุจุชุฑูˆุญ ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:10:44,090 --> 00:10:48,650
367
+ ู…ุน ู‡ุฐู‡ ูŠุฑูˆุญ ุงู„ู„ู‡ ูŠุณู‡ู„ ุนู„ูŠู‡ู… ุจุถู„ ุนู†ุฏูŠ E ุฃุณ X Y ููŠ
368
+
369
+ 93
370
+ 00:10:48,650 --> 00:10:54,250
371
+ Cosine 2X ู„ู…ุง ู†ูุงุถู„ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ X ุฅุฐุง ุงู„ู…ุดุชู‚ุฉ
372
+
373
+ 94
374
+ 00:10:54,250 --> 00:10:59,550
375
+ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† Y ููŠ E ุฃุณ X Y
376
+
377
+ 95
378
+ 00:11:14,900 --> 00:11:19,760
379
+ ู…ุดุชู‚ุฉ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ู„ X ุจู‚ุฏ ุงูŠุดุŸ ุจู€ 0 ู…ุน ุงู„ุณู„ุงู…ุฉ ุงู„ู„ู‡
380
+
381
+ 96
382
+ 00:11:19,760 --> 00:11:28,480
383
+ ูŠูุณู‡ู„ ุนู„ูŠู‡ุง ุจุถู„ ุนู†ุฏูŠ ุฒุงุฆุฏ F prime of X ุงู„ุขู† ุนู†ุฏูŠ
384
+
385
+ 97
386
+ 00:11:28,480 --> 00:11:32,140
387
+ partial of y ุนู„ู‰ partial of x ูˆุนู†ุฏูŠ partial of y
388
+
389
+ 98
390
+ 00:11:32,140 --> 00:11:36,640
391
+ ุนู„ู‰ partial of x ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ู‚ูŠู…ุชูŠู† ู„ุจุนุถ ูŠุจู‚ู‰ ู„ูˆ
392
+
393
+ 99
394
+ 00:11:36,640 --> 00:11:41,180
395
+ ุฌูŠู†ุง ุณุงูˆูŠู†ุง ุงู„ู‚ูŠู…ุชูŠู† ู„ุจุนุถ ุจุฏู‡ุง ุชูƒูˆู† ุนู†ุฏ ู…ูŠู†ุŸ Y ููŠ
396
+
397
+ 100
398
+ 00:11:41,180 --> 00:11:51,080
399
+ E ุฃุณ X Y ููŠ Cos 2X ู†ุงู‚ุต 2 E ุฃุณ X Y ููŠ Sin 2X ุฒุงุฆุฏ F
400
+
401
+ 101
402
+ 00:11:51,080 --> 00:11:57,340
403
+ prime of x ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ู…ู‚ุฏุงุฑ ุงู„ู„ูŠ ุนู†ุฏู‡ ู‡ู†ุงูƒ Y E ุฃุณ
404
+
405
+ 102
406
+ 00:11:57,340 --> 00:12:13,520
407
+ XY ููŠ Cos 2X ู†ุงู‚ุต 2 E ุฃุณ XY ููŠ Sin 2X ุฒุงุฆุฏ 2X
408
+
409
+ 103
410
+ 00:12:13,520 --> 00:12:16,540
411
+ ุชุนุงู„
412
+
413
+ 104
414
+ 00:12:16,540 --> 00:12:21,200
415
+ ู†ุดูˆู ุฃุธู† ุงู„ term ู‡ุฐุง ู‡ูˆ ุงู„ term ู‡ุฐุง ุจุงู„ุถุจุท ุชู…ุงู…ู‹ุง
416
+
417
+ 105
418
+ 00:12:21,200 --> 00:12:26,000
419
+ ูŠุจู‚ู‰ ู„ูˆ ุฌุจู†ุงู‡ ุนู†ุฏู‡ ุจูŠุฑูˆุญ ู‡ุฐุง ู‡ูˆ ุงู„ term ู‡ุฐุง ุจุงู„ุถุจุท
420
+
421
+ 106
422
+ 00:12:26,000 --> 00:12:33,840
423
+ ุชู…ุงู…ู‹ุง ุจุถู„ุด ุนู†ุฏูŠ ุฅู„ุง ุงู„ F prime of x ูŠุณุงูˆูŠ ู‚ุฏ ุงูŠุดุŸ 2x
424
+
425
+ 107
426
+ 00:12:33,840 --> 00:12:39,360
427
+ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠู†ุง ุฃู† ุงู„ F of x ุจุฏู†ุง ู†ูƒุงู…ู„ ู‡ุฐุง ูŠุง
428
+
429
+ 108
430
+ 00:12:39,360 --> 00:12:49,680
431
+ ุจู†ุงุช ูŠุจู‚ู‰ ุชูƒุงู…ู„ 2X DX ูŠุณุงูˆูŠ X ุชุฑุจูŠุน ุฒุงุฆุฏ ูƒูˆู†ุณุชุงู†ุช
432
+
433
+ 109
434
+ 00:12:49,680 --> 00:12:57,420
435
+ C1 ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ the solution of
436
+
437
+ 110
438
+ 00:12:57,420 --> 00:13:04,920
439
+ the differential equation 1 is
440
+
441
+ 111
442
+ 00:13:13,930 --> 00:13:25,530
443
+ ูŠุจู‚ู‰ Y E ุฃุณ XY ููŠ Cos 2X ู†ุงู‚ุต 3Y
444
+
445
+ 112
446
+ 00:13:28,630 --> 00:13:40,150
447
+ ุฒุงุฆุฏ C1 ูŠุจู‚ู‰ C1 ูŠุณุงูˆูŠ C1 ู…ุฑุฉ ูˆุงุญุฏุฉ ูˆุฑุงูŠุง ุฏู…ุงุบูƒ ูŠุจู‚ู‰
448
+
449
+ 113
450
+ 00:13:40,150 --> 00:13:42,670
451
+ ู‡ุฐุง ู‡ูˆ ุญู„ ุงู„ู…ุซู„
452
+
453
+ 114
454
+ 00:13:45,350 --> 00:13:49,170
455
+ ูŠุจู‚ู‰ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุซุงู„ ุงู„ุซุงู†ูŠ ุนู„ู‰ ุงู„ Exact Equation
456
+
457
+ 115
458
+ 00:13:49,170 --> 00:13:54,190
459
+ ู…ู…ูƒู† ูŠุฌูŠ ุงู„ุณุคุงู„ ุจุบูŠุฑ ุงู„ุตูŠุบุฉ ุงู„ุฃูˆู„ู‰ ูˆุบูŠุฑ ุงู„ุตูŠุบุฉ
460
+
461
+ 116
462
+ 00:13:54,190 --> 00:13:59,530
463
+ ุงู„ุซุงู†ูŠุฉ ูˆููŠ ู†ูุณ ุงู„ูˆู‚ุช ุนู„ู‰ ุงู„ exact ูƒูŠู ูƒุงู„ุชุงู„ูŠ
464
+
465
+ 117
466
+ 00:13:59,530 --> 00:14:07,590
467
+ ุฎุฐ ู„ูƒ ุงู„ุณุคุงู„ Example 3 ุจูŠู‚ูˆู„ Find the value of the
468
+
469
+ 118
470
+ 00:14:07,590 --> 00:14:20,640
471
+ constant B/find the value of the constant B ู‡ุชู„ุงู‚ูŠู‡
472
+
473
+ 119
474
+ 00:14:20,640 --> 00:14:27,620
475
+ ู„ู…ู‚ุฏุงุฑ ุงู„ุซุงุจุช B Such that
476
+
477
+ 120
478
+ 00:14:27,620 --> 00:14:39,480
479
+ the differential equation ุงู„ู„ูŠ ู‡ูŠ ู…ูŠู†ุŸ X Y ุชุฑุจูŠุน
480
+
481
+ 121
482
+ 00:14:39,480 --> 00:14:55,060
483
+ ุฒุงุฆุฏ B X ุชุฑุจูŠุน Y ูƒู„ ู‡ุฐุง ููŠ DX ุฒุงุฆุฏ X ุชูƒุนูŠุจ ุฒุงุฆุฏ Y ููŠ X
484
+
485
+ 122
486
+ 00:14:55,060 --> 00:15:01,360
487
+ ุชุฑุจูŠุน DY ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ Zero is Exact
488
+
489
+ 123
490
+ 00:15:36,090 --> 00:15:42,790
491
+ ุณุคุงู„ ู…ุฑุฉ ุซุงู†ูŠุฉ ุงู„ุณุคุงู„ ุจูŠู‚ูˆู„ ู„ูŠ ู‡ุงุช ู„ูŠ ู‚ูŠู…ุฉ ุงู„ุซุงุจุช B
492
+
493
+ 124
494
+ 00:15:42,790 --> 00:15:46,750
495
+ ุจุญูŠุซ ุฃู† ุงู„ differential equation ุงู„ู„ูŠ ู‚ุฏุงู…ู†ุง ู‡ุฐู‡
496
+
497
+ 125
498
+ 00:15:46,750 --> 00:15:51,040
499
+ is Exact ูŠุจู‚ู‰ ู‡ูˆ ู…ุง ูŠุนุทูŠู†ูŠ ุงู† ุงู„ differential
500
+
501
+ 126
502
+ 00:15:51,040 --> 00:15:55,500
503
+ equation Exact ุตุญูŠุญ ูˆู„ุง ู„ุฃ ุฅุฐุง ุดุฑุท partial m by
504
+
505
+ 127
506
+ 00:15:55,500 --> 00:16:01,720
507
+ partial y ุจุฏู‡ ูŠุณุงูˆูŠ partial n by partial x ู…ุธุจูˆุท
508
+
509
+ 128
510
+ 00:16:01,720 --> 00:16:08,280
511
+ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ Since ุจู…ุง ุฃู† ุงู„ differential
512
+
513
+ 129
514
+ 00:16:08,280 --> 00:16:20,000
515
+ equation is Exact We have ุงู„ู„ูŠ ู‡ู…ุง ู…ูŠู†ุŸ partial M by
516
+
517
+ 130
518
+ 00:16:20,000 --> 00:16:27,060
519
+ partial Y ูŠุณุงูˆูŠ partial N by partial X ุฅุฐุง ุฃู†ุช ุนุงูŠุฒ
520
+
521
+ 131
522
+ 00:16:27,060 --> 00:16:31,560
523
+ ู†ูุถู„ ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูˆุงู„ุฌุฒุก ุงู„ุชุงู„ูŠ
524
+
525
+ 132
526
+ 00:16:31,560 --> 00:16:38,040
527
+ ุจุงู„ู†ุณุจุฉ ู„ X ูŠุจู‚ู‰ partial M by partial Y ู‡ูˆ ุชูุถู„
528
+
529
+ 133
530
+ 00:16:38,040 --> 00:16:45,020
531
+ ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ูŠุจู‚ู‰ 2XY ุงู„ X ู…ู‚ุฏุงุฑ ุซุงุจุช ูˆุงู„ Y ุชุฑุจูŠุน
532
+
533
+ 134
534
+ 00:16:45,020 --> 00:16:52,660
535
+ ู…ุดุชู‚ุชู‡ุง 2Y ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ุจูŠุทูŠุฑ ุงู„ Y ูŠุจู‚ู‰ ุฒุงุฆุฏ B
536
+
537
+ 135
538
+ 00:16:52,660 --> 00:16:57,930
539
+ X ุชุฑุจูŠุน ุจุฏู‡ ูŠุณุงูˆูŠ partial N by partial X ูŠุจู‚ู‰ ูุงุถู„
540
+
541
+ 136
542
+ 00:16:57,930 --> 00:17:04,290
543
+ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ X ูŠุจู‚ู‰ ุงู„ู„ูŠ ู‡ูˆ ู‚ุฏ ุงูŠุดุŸ 3 X ุชุฑุจูŠุน
544
+
545
+ 137
546
+ 00:17:04,290 --> 00:17:13,830
547
+ ุฒุงุฆุฏ 2Y X ุทุจ ุงุชุทู„ุน ู‡ู†ุง ู‡ุฐุง 2YX ูŠุณุงูˆูŠ ู…ู† 2YX
548
+
549
+ 138
550
+ 00:17:13,830 --> 00:17:19,090
551
+ ู„ูˆ ุฑุงุญุช ุนู†ุฏู‡ุง ุจุชุฑูˆุญ ูŠุจู‚ู‰ ุจู†ุณุชู†ุชุฌ ู…ู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุฃู†
552
+
553
+ 139
554
+ 00:17:19,090 --> 00:17:26,710
555
+ ุงู„ B X ุชุฑุจูŠุน ุจุฏู‡ ูŠุณุงูˆูŠ 3 X ุชุฑุจูŠุน ู…ู…ูƒู† ู†ู‚ุณู… ูƒู„ู‘ู‡
556
+
557
+ 140
558
+ 00:17:26,710 --> 00:17:33,560
559
+ ุนู„ู‰ X ุชุฑุจูŠุน ูŠุจู‚ู‰ ุงู„ู†ุชูŠุฌุฉ ูƒุฏู‡ุŸ B ุชุณุงูˆูŠ 3 ู„ูˆ
560
+
561
+ 141
562
+ 00:17:33,560 --> 00:17:38,980
563
+ ุดูŠู„ู†ุง B ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ูˆ ุญุทูŠู†ุง ู…ูƒุงู†ู‡ุง 3 ูˆ
564
+
565
+ 142
566
+ 00:17:38,980 --> 00:17:42,800
567
+ ุฑูˆุญู†ุง ุจุญุซู†ุง ู‡ู„ ู‡ุฐู‡ ุงู„ function ุงูˆ ู‡ู„ ู‡ุฐู‡ ุงู„
568
+
569
+ 143
570
+ 00:17:42,800 --> 00:17:45,880
571
+ Equation Exact ูˆู„ุง ู…ุงู‡ูŠ Exact ู…ู† ุงู„ู„ูŠ ุฌุงู‡ุง
572
+
573
+ 144
574
+ 00:17:45,880 --> 00:17:52,220
575
+ Automatic ู‡ูŠ ุนุจุงุฑุฉ ุนู† Exact Equation ุทูŠุจ ุนู†ูˆุงู† ุชุจุน
576
+
577
+ 145
578
+ 00:17:52,220 --> 00:17:56,340
579
+ ู‡ุฐุง Section ุงู„ู„ูŠ ูƒู†ุง ุฑุงูุนูŠู†ู‡ 2-6 ูƒุงู† Exact
580
+
581
+ 146
582
+ 00:17:56,340 --> 00:18:01,240
583
+ Equations and Integrating Factors ุญุชู‰ ุงู„ุขู† ู„ู…
584
+
585
+ 147
586
+ 00:18:01,240 --> 00:18:05,980
587
+ ู†ุชูƒู„ู… ุนู† ู…ูŠู†ุŸ ุนู† ุงู„ Integrating Factors ูŠุจู‚ู‰ ุจุฏู†ุง
588
+
589
+ 148
590
+ 00:18:05,980 --> 00:18:10,730
591
+ ู†ุชูƒู„ู… ุนู† ุงู„ Integrating Factors ุจู†ุนุทูŠ ุชุนุฑูŠู ู„ู„
592
+
593
+ 149
594
+ 00:18:10,730 --> 00:18:16,270
595
+ Integrating Factor ูˆุจุนุฏ ู‡ูŠูƒ ู†ุญุงูˆู„ ู†ูˆุฌุฏ ุดูƒู„ ุงู„
596
+
597
+ 150
598
+ 00:18:16,270 --> 00:18:22,150
599
+ Integrating Factor ู„ุจุนุถ ู„ู„ Equations ูˆุจุนุฏ ู‡ูŠูƒ ู†ุฃุฎุฐ
600
+
601
+ 151
602
+ 00:18:22,150 --> 00:18:27,450
603
+ ุฃู…ุซู„ุฉ ุนู„ูŠู‡ ูŠุจู‚ู‰ ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„ุดุทุฑุฉ ุงู„ุซุงู†ูŠุฉ ู…ู† ู‡ุฐุง ุงู„
604
+
605
+ 152
606
+ 00:18:27,450 --> 00:18:33,310
607
+ Section ุงู„ู„ูŠ ู‡ูˆ Integrating Factors
608
+
609
+ 153
610
+ 00:18:35,520 --> 00:18:41,440
611
+ ุนูˆุงู…ู„ ุงู„ุชูƒุงู…ู„ ุจู†ุนุทูŠ ุชุนุฑูŠู ู„ุนุงู…ู„ ุงู„ุชูƒุงู…ู„ ูŠุจู‚ู‰
612
+
613
+ 154
614
+ 00:18:41,440 --> 00:18:45,940
615
+ Definition ุจูŠู‚ูˆู„
616
+
617
+ 155
618
+ 00:18:45,940 --> 00:18:53,460
619
+ If the Differential Equation If the Differential
620
+
621
+ 156
622
+ 00:18:53,460 --> 00:19:07,850
623
+ Equation ุงู„ู„ูŠ ู‡ูˆ M of X ูˆ Y DX ุฒุงุฆุฏ N of XY DY ุชุณุงูˆูŠ
624
+
625
+ 157
626
+ 00:19:07,850 --> 00:19:15,050
627
+ Zero ูˆุณู…ูŠู†ุง ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ Is Not Exact Is
628
+
629
+ 158
630
+ 00:19:15,050 --> 00:19:24,430
631
+ Not Exact But the Differential Equation But the
632
+
633
+ 159
634
+ 00:19:24,430 --> 00:19:33,250
635
+ Differential Equation ูˆู„ูƒู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ู„ ฮผ
636
+
637
+ 160
638
+ 00:19:33,250 --> 00:19:46,510
639
+ of x y ููŠ M of x y ููŠ DX ุฒุงุฆุฏ ฮผ of x y ฮผ of
640
+
641
+ 161
642
+ 00:19:46,510 --> 00:20:01,170
643
+ x y ููŠ N of x y DY ุชุณุงูˆูŠ 0 Is Exact Is Exact Then
644
+
645
+ 162
646
+ 00:20:01,170 --> 00:20:13,750
647
+ ูˆู…ู† ุซู… ฮผ of x y Is Called an Integrating Factor
648
+
649
+ 163
650
+ 00:20:13,750 --> 00:20:20,330
651
+ An Integrating Factor
652
+
653
+ 164
654
+ 00:20:20,330 --> 00:20:27,940
655
+ ุนุงู…ู„ ุชูƒุงู…ู„ For the Differential
656
+
657
+ 165
658
+ 00:20:27,940 --> 00:20:32,460
659
+ Equation
660
+
661
+ 166
662
+ 00:20:32,460 --> 00:20:33,920
663
+ One
664
+
665
+ 167
666
+ 00:21:02,870 --> 00:21:09,750
667
+ ู†ุนูˆุฏ ู„ู„ุชุนุฑูŠู ู…ุฑุฉ ุซุงู†ูŠุฉ ุงู„ุชุนุฑูŠู ุจูŠู‚ูˆู„ ู…ุง ูŠุฃุชูŠ If
668
+
669
+ 168
670
+ 00:21:09,750 --> 00:21:13,430
671
+ the Differential Equation ุงู„ู„ูŠ ู‡ูˆ ุงู„ MDX ุฒุงุฆุฏ ุงู„ N
672
+
673
+ 169
674
+ 00:21:13,430 --> 00:21:17,770
675
+ DY ุจูŠุณุงูˆูŠ Zero Is Not Exact ูŠุนู†ูŠ ุฑูˆุญู†ุง ุญุณุจู†ุง
676
+
677
+ 170
678
+ 00:21:17,770 --> 00:21:21,170
679
+ ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ ู„ Y ูˆุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ X
680
+
681
+ 171
682
+ 00:21:21,170 --> 00:21:25,510
683
+ ู„ุฌูŠู†ุง ู‡ู…ุง Are Not Equal ู…ุด ุจุณ ุจุนุถ ูŠุจู‚ู‰ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ
684
+
685
+ 172
686
+ 00:21:25,510 --> 00:21:27,390
687
+ ุชุจู‚ู‰ ุงู„ Differential Equation ุงู„ู„ูŠ ุนู†ุฏู†ุง ู…ุนุงู‡ุง
688
+
689
+ 173
690
+ 00:21:27,390 --> 00:21:32,830
691
+ ู…ุงู‡ูŠ Exact ูŠุจู‚ู‰ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุจูŠู‚ูˆู„ ู‡ุฐุง Not
692
+
693
+ 174
694
+ 00:21:32,830 --> 00:21:35,470
695
+ Exact ุจู‚ู‰ Differential Equation ุฑูˆุญู†ุง ุนู„ู‰
696
+
697
+ 175
698
+ 00:21:35,470 --> 00:21:39,890
699
+ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ูˆุถุฑุจู†ุงู‡ุง ููŠ ุฏุงู„ุฉ ุฃุฎุฑู‰ ุงู„ุฏุงู„ุฉ ุงู„ุฃุฎุฑู‰
700
+
701
+ 176
702
+ 00:21:39,890 --> 00:21:46,390
703
+ ุงุณู…ู‡ุง ฮผ of XY ูŠุจู‚ู‰ ุถุฑุจู†ุง ฮผ of XY ููŠ M ูˆ ฮผ of
704
+
705
+ 216
706
+ 00:26:05,770 --> 00:26:11,110
707
+ ุจู…ุนู†ู‰ ุขุฎุฑ ุฅู† ุงู„ุฏุงู„ุฉ ุงู„ุฃุตู„ูŠุฉ ุนู†ุฏู‡ุง ุฏูŠ ู…ุง ูƒุงู†ุชุด exact
708
+
709
+ 217
710
+ 00:26:11,110 --> 00:26:15,010
711
+ ุจุฏู„ูŠู„ ุฅู† partial n ุนู„ู‰ partial x ูˆ partial z
712
+
713
+ 218
714
+ 00:26:15,010 --> 00:26:19,170
715
+ ุจูŠุณุงูˆูŠูˆุด ุจุนุถ ู„ุฅู† ู„ูˆ ุณุงูˆูˆุง ุจุนุถ ู„ุฌุงุช ุงู„ูุฑู‚ ู…ู†ู‡ู… ุตูุฑ
716
+
717
+ 219
718
+ 00:26:19,170 --> 00:26:23,510
719
+ Zero ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฏูˆู„ ุจูŠุณุงูˆูŠูˆุด ุจุนุถ ูŠุนู†ูŠ ุงู„ู…ุนุงุฏู„ุฉ not
720
+
721
+ 220
722
+ 00:26:23,510 --> 00:26:29,670
723
+ exact ุฅุฐุง ู„ูˆ ุทุฑุญุช ุงู„ุฃุซู†ูŠู† ู…ู† ุจุนุถ ูˆุฌุณู…ุช ุนู„ู‰ M ู„ุฌุงุช
724
+
725
+ 221
726
+ 00:26:29,670 --> 00:26:35,720
727
+ ุงู„ู†ุงุชุฌ function ููŠ Y ูู‚ุท ุญุชู‰ ู„ูˆ ูƒุงู†ุช ูƒูˆู†ุณุชุงู†ุช
728
+
729
+ 222
730
+ 00:26:35,720 --> 00:26:40,660
731
+ ุจุงุนุชุจุงุฑู‡ุง function ููŠ y ูŠุจู‚ู‰ where q is a function
732
+
733
+ 223
734
+ 00:26:40,660 --> 00:26:44,780
735
+ of y only then the differential equation ุงู„ุชูŠ
736
+
737
+ 224
738
+ 00:26:44,780 --> 00:26:48,220
739
+ ุนู†ุฏู‡ุง ู‡ุฐุง has an integrating factor in the form
740
+
741
+ 225
742
+ 00:26:48,560 --> 00:26:57,880
743
+ ูŠุจู‚ู‰ ุงู„ุดูƒู„ ุนุงู…ู„ ุงู„ุชูƒุงู…ู„ ุฏุงู„ุฉ ููŠ Y ูู‚ุท ูˆุดูƒู„ U of Y
744
+
745
+ 226
746
+ 00:26:57,880 --> 00:27:03,520
747
+ ูŠุณุงูˆูŠ A ูˆุงู„ุชูƒุงู…ู„ Q of Y ุฏูŠ Y ูŠุนู†ูŠ ุชูƒุงู…ู„ ูƒู„ ุงู„ู†ุชูŠุฌุฉ
748
+
749
+ 227
750
+ 00:27:03,520 --> 00:27:08,490
751
+ ุงู„ุชูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ุงู„ู†ุชูŠุฌุฉ ุชุจู‚ู‰ ุจุณ ุฏุงู„ุฉ ููŠ Y ูŠุจู‚ู‰ ุจู‚ู‰
752
+
753
+ 228
754
+ 00:27:08,490 --> 00:27:12,050
755
+ ูƒุงู…ู„ุฉ ุจูƒูˆู† ุญุตู„ุช ุนู„ู‰ ู…ูŠู†ุŸ ุนู„ู‰ ุนุงู…ู„ ุงู„ุชูƒุงู…ู„ ุจุถุฑุจ
756
+
757
+ 229
758
+ 00:27:12,050 --> 00:27:16,510
759
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุตู„ูŠุฉ ููŠู‡ ุจูƒูˆู† ุญุตู„ู†ุง ุนู„ู‰ exact equation
760
+
761
+ 230
762
+ 00:27:16,510 --> 00:27:21,550
763
+ ุจุญู„ู‡ุง ูƒู…ุง ูƒู†ุช ุจุญู„ ู…ู† ู‚ุจู„ ุทุจ ุจุณ ู…ู† ูˆูŠู† ุฌุจุชู‡ ู‡ุฐุงุŸ ุจุฏูƒ
764
+
765
+ 231
766
+ 00:27:21,550 --> 00:27:26,910
767
+ ุชุซุจุชู‡ ู…ุด ู‡ูŠูƒ ุตุญ ูˆู„ุง ู„ุงุŸ ูŠุจู‚ู‰ ู‡ู†ุง ุจู‚ู‰ ุฃุฌูŠ ุจู‚ูˆู„ู‡ ุงู„
768
+
769
+ 232
770
+ 00:27:26,910 --> 00:27:29,030
771
+ proof ุฃูˆ ุงู„ solution
772
+
773
+ 233
774
+ 00:27:32,620 --> 00:27:38,380
775
+ ุจุฏูŠ ุฃุซุจุช ุฃู† ู‡ุฐุง ุงู„ุชูƒุงู…ู„ ุนู„ูŠู‡ ูƒู€ exponential ู‡ูˆ
776
+
777
+ 234
778
+ 00:27:38,380 --> 00:27:42,880
779
+ ุนุจุงุฑุฉ ุนู† ุงู„ integrating factor ู„ู…ู†ุŸ ู„ู„ุฏุงู„ุฉ ุงู„ุชูŠ
780
+
781
+ 235
782
+ 00:27:42,880 --> 00:27:46,180
783
+ ุนู†ุฏู†ุง ู‡ุฐู‡ ุฃูˆ ู„ู„ equation ุงู„ุชูŠ ูŠุจู‚ู‰ ุจุงู„ุฏุฑุฌุฉ ุฃู‚ูˆู„ู‡
784
+
785
+ 236
786
+ 00:27:46,180 --> 00:27:58,940
787
+ let mu of y be an integrating factor
788
+
789
+ 237
790
+ 00:28:02,280 --> 00:28:13,940
791
+ of the differential equation ุงู„ุชูŠ ู‡ูˆ ุงู„ M DX ุฒุงุฆุฏ
792
+
793
+ 238
794
+ 00:28:13,940 --> 00:28:22,540
795
+ ุงู„ N DY ุจุฏู‡ ูŠุณุงูˆูŠ ุตูุฑ ุฒูŠ ู…ุง ุฃู†ุช ุดุงูŠูู‡ ูุฑุถู‡ ุฃู†ู‡
796
+
797
+ 239
798
+ 00:28:22,540 --> 00:28:26,260
799
+ ุฏุงู„ุฉ ููŠ Y ุดูˆ ุดูƒู„ู‡ุŸ ุฃู†ุง ู…ุด ุนุงุฑู ูŠุจู‚ู‰ ูŠุจุฏุฃ ุงู„ุจุญุซ ุงู„ุชูŠ
800
+
801
+ 240
802
+ 00:28:26,260 --> 00:28:34,020
803
+ ุฃู†ุง ุนู† ุดูƒู„ ุงู„ุฏุงู„ุฉ ู„ู€ Mu of Y ูŠุจู‚ู‰ then ุจุฏูŠ ุงุถุฑุจู‡ุง
804
+
805
+ 241
806
+ 00:28:34,020 --> 00:28:44,420
807
+ ููŠ ุงู„ู…ูŠูˆ ูŠุจู‚ู‰ ุงู„ู…ูŠูˆ ููŠ ุงู„ M ููŠ DX ุฒุงุฆุฏ ุงู„ู…ูŠูˆ ููŠ ุงู„
808
+
809
+ 242
810
+ 00:28:44,420 --> 00:28:49,860
811
+ N ููŠ DY ุจุฏู‡ ูŠุณุงูˆูŠ Zero is Exact
812
+
813
+ 243
814
+ 00:28:52,920 --> 00:28:57,760
815
+ ุตุญูŠุญุŸ ุทุจู‚ุง ู„ู„ุชุนุฑูŠู ูŠุจู‚ู‰ ุฏุฑุงุจุท ููŠ ุงู„ู€ Mu ุตุงุฑุช
816
+
817
+ 244
818
+ 00:28:57,760 --> 00:29:02,760
819
+ ุงู„ุฏุงู„ุฉ ู‡ุฐู‡ exact ุฅุฐุง ุชูุงุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ุจูŠุณุงูˆูŠ
820
+
821
+ 245
822
+ 00:29:02,760 --> 00:29:07,360
823
+ ุชูุงุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ูŠุจู‚ู‰ ู‡ุฐุง ุดูˆ ุจุฏุง ูŠุนุทูŠู†ุงุŸ
824
+
825
+ 246
826
+ 00:29:07,360 --> 00:29:16,000
827
+ ุจุฏุง ูŠุนุทูŠู†ุง ุฅู† partial by partial Y ู„ู€ Mu ููŠ M ูŠุณุงูˆูŠ
828
+
829
+ 247
830
+ 00:29:16,000 --> 00:29:20,780
831
+ partial by partial X ู„ู€ Mu ููŠ M
832
+
833
+ 248
834
+ 00:29:23,440 --> 00:29:30,640
835
+ ุฅุฐุง ูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง ู…ุดุชู‚ุฉ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูŠุจู‚ู‰
836
+
837
+ 249
838
+ 00:29:30,640 --> 00:29:37,720
839
+ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰ ููŠ ู…ุดุชู‚ุฉ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ุฒุงุฆุฏ ุงู„ุฏุงู„ุฉ
840
+
841
+ 250
842
+ 00:29:37,720 --> 00:29:44,480
843
+ ุงู„ุซุงู†ูŠุฉ ููŠ ู…ุดุชู‚ุฉ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู‡ุฐุง ุงู„ุทุฑู ุงู„ุฃูŠุณุฑ
844
+
845
+ 251
846
+ 00:29:44,480 --> 00:29:48,280
847
+ ุงู„ุทุฑู ุงู„ุฃูŠู…ู† ูŠุณุงูˆูŠ ู„ู€ mu
848
+
849
+ 252
850
+ 00:30:11,980 --> 00:30:17,780
851
+ ุณุคุงู„ ู‡ุฏููƒูˆุง ุจุชู‚ุฏุฑ ุชู‚ูˆู„ูŠ ู‚ุฏุงุด ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุนุฏุฏูŠุง ูŠุง
852
+
853
+ 253
854
+ 00:30:17,780 --> 00:30:18,340
855
+ ู…ุงู†ุงุชุŸ
856
+
857
+ 254
858
+ 00:30:21,910 --> 00:30:27,850
859
+ ุตูุฑ ุตุญูŠุญ ู„ุฅู† ู…ูŠูˆ ูุงู†ูƒุดู† ููŠ Y ุฅุฐุง ู…ุดุชู‚ุชู‡ุง ุจุงู„ู†ุณุจุฉ
860
+
861
+ 255
862
+ 00:30:27,850 --> 00:30:35,930
863
+ ู„ X ู‡ูŠ ุชุณุงูˆูŠ ุตูุฑ ุฅุฐุง ู‡ุฐู‡ ุชุณุงูˆูŠ ุตูุฑ because ุฅู†
864
+
865
+ 256
866
+ 00:30:35,930 --> 00:30:44,100
867
+ ุงู„ู…ูŠูˆ is a function of Y only ุชู…ุงู… ูŠุจู‚ู‰ ุงู„ term
868
+
869
+ 257
870
+ 00:30:44,100 --> 00:30:48,700
871
+ ุงู„ุฃุฎูŠุฑ ู‡ุฐุง ู…ุงู„ู‡ุŸ ุงู„ู„ู‡ ุณุงู‡ู„ ุนู„ูŠู‡ ู…ุน ุงู„ุณู„ุงู…ุฉ ุทูŠุจ
872
+
873
+ 258
874
+ 00:30:48,700 --> 00:30:55,580
875
+ ู†ูŠุฌูŠ ู„ู„ term ู‡ุฐุง ู‡ุฐุง ู…ุดุชู‚ุฉ ู…ูŠูˆ ุฌุฒุฆูŠุง ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู†ุŸ
876
+
877
+ 259
878
+ 00:30:55,580 --> 00:31:00,530
879
+ ุจุงู„ู†ุณุจุฉ ุงู„ why ุตุญูŠุญ ูˆู„ุง ู„ุฃุŸ ู„ูƒู† ุฃู†ุง ูุงุฑุถ ุฃู† ุงู„ู€ mu
880
+
881
+ 260
882
+ 00:31:00,530 --> 00:31:05,650
883
+ function ููŠ y ูู‚ุท ูŠุจู‚ู‰ ู‡ุฐุง ุงุดุชู‚ุงู‚ ูƒู„ู‡ ูˆู„ุง ุงุดุชู‚ุงู‚
884
+
885
+ 261
886
+ 00:31:05,650 --> 00:31:13,210
887
+ ุฌุฒุก ูŠุจู‚ู‰ ุงุดุชู‚ุงู‚ ูƒู„ู‡ ุฅุฐุง ู‡ุฐู‡ ุจุชุตูŠุฑ ูƒุงู„ุชุงู„ูŠ ุงู„ู€mu ููŠ
888
+
889
+ 262
890
+ 00:31:13,210 --> 00:31:21,890
891
+ partial m by partial y ุฒุงุฆุฏ m ููŠ d mu ุนู„ู‰ dy ุจุฏู‡
892
+
893
+ 263
894
+ 00:31:21,890 --> 00:31:27,810
895
+ ูŠุณุงูˆูŠ ุงู„ู€mu ููŠ partial n ุนู„ู‰ partial x
896
+
897
+ 264
898
+ 00:31:30,300 --> 00:31:34,400
899
+ ุทุจ ุงูŠุด ุฑุงูŠูƒุŸ ุจุฏูŠ ุฃุฎู„ูŠ ู‡ุฐู‡ ููŠ ุฌู‡ุฉ ูˆุจุฏูŠ ุฃุฌูŠุจ ู‡ุฐู‡
900
+
901
+ 265
902
+ 00:31:34,400 --> 00:31:38,240
903
+ ุนู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ ูŠุจู‚ู‰ ู„ูˆ ุฌุจุชู‡ุง ุนู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ
904
+
905
+ 266
906
+ 00:31:38,240 --> 00:31:44,220
907
+ ุจู‚ุฏุฑ ุฃุฎุฏ ู„ู€ mu ู…ู†ู‡ู… ุนุงู…ู„ ู…ุดุชุฑูƒ ูŠุจู‚ู‰ ู„ูˆ ุฌุจุชู‡ุง ุจุตูŠุฑ
908
+
909
+ 267
910
+ 00:31:44,220 --> 00:31:49,420
911
+ ุนู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ ู‡ุฐู‡ ุงู„ู€ mu ุนุงู…ู„ ู…ุดุชุฑูƒ ุจุธู„ ุนู†ุฏูŠ
912
+
913
+ 268
914
+ 00:31:49,420 --> 00:31:56,140
915
+ partial n by partial x ู†ุงู‚ุต partial m by partial y
916
+
917
+ 269
918
+ 00:31:56,760 --> 00:32:03,580
919
+ ุฌุจุช ู‡ุฐู‡ ุนู†ุฏ ู‡ุฐู‡ุŒ ุถู„ุช ู‡ุฐู‡ ู„ุญุงู„ู‡ุง ูŠุจู‚ู‰ ุชุณุงูˆูŠ M ููŠ D
920
+
921
+ 270
922
+ 00:32:03,580 --> 00:32:06,140
923
+ Mu ุนู„ู‰ Dy
924
+
925
+ 271
926
+ 00:32:08,630 --> 00:32:14,690
927
+ ุทุจ ูƒูˆูŠุณ ุงูŠุด ุฑุงูŠูƒุŸ ู‡ุฐู‡ ุจุชุตูŠุฑ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุจุฏุง
928
+
929
+ 272
930
+ 00:32:14,690 --> 00:32:22,990
931
+ ูŠุฌุณู… ุนู„ู‰ M ุถุฑุจ ู… ุนู„ู‰ M ููŠ ู… ูŠุจู‚ุงุด ุจุตูŠุฑ ุนู†ุฏูŠ ู‡ู†ุง ู‡ุฐู‡
932
+
933
+ 273
934
+ 00:32:22,990 --> 00:32:30,050
935
+ ุจุชุตูŠุฑ partial N by partial X ู†ุงู‚ุต partial M by
936
+
937
+ 274
938
+ 00:32:30,050 --> 00:32:39,060
939
+ partial Y ูƒู„ู‡ ุนู„ู‰ M ุจุฏูˆ ุงุณู… ููŠ ุฏูŠ ูˆุงูŠ ุจุงู„ู…ุฑุฉ ูŠุณุงูˆูŠ
940
+
941
+ 275
942
+ 00:32:39,060 --> 00:32:51,620
943
+ ุฏูŠ ู…ูŠูˆ ุนู„ู‰ ุงู„ู…ูŠูˆ ู…ุตุจูˆุท ุทูŠุจ ู‡ูˆุตู„ู†ุง ู„ุดูˆูŠุฉ ุทูŠุจ ู†ูƒุงู…ู„
944
+
945
+ 276
946
+ 00:32:51,620 --> 00:32:56,680
947
+ ุงู„ุทุฑููŠู† ุฃูˆ ู‚ุจู„ ู†ูƒุงู…ู„ ู‡ุฐู‡ ุฅูŠุด ุงุญู†ุง ูุฑุถูŠู†ู‡ุง ููŠ ู†ุต
948
+
949
+ 277
950
+ 00:32:56,680 --> 00:33:04,320
951
+ ุงู„ู…ุซู„ุฉ ู…ุด ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ EQ ูˆูŠู† ุฑุงุญุชุŸ ู…ุด ู‡ุฐู‡ ู‡ูŠ ุงู„
952
+
953
+ 278
954
+ 00:33:04,320 --> 00:33:08,960
955
+ EQ ุตุญ ูˆู„ุง ู„ุฃุŸ ุฅุฐุง ุจุฏูŠ ุฃุดูŠู„ู‡ุง ูˆุฃูƒุชุจ ุจุฏู„ู‡ุง ุงู„ EQ
956
+
957
+ 279
958
+ 00:33:08,960 --> 00:33:22,440
959
+ ู‡ุฐุง ู…ุนู†ุงู‡ ุฅู† ุงู„ EQ of Y ููŠ DY ุจุฏู‡ ูŠุณุงูˆูŠ DMU ุนู„ู‰
960
+
961
+ 280
962
+ 00:33:22,440 --> 00:33:32,400
963
+ ุงู„ู…ูŠูˆ ุจุฏูŠ ุฃูƒุงู…ู„ ุงู„ุทุฑููŠู† ูŠุจู‚ู‰ ุชูƒุงู…ู„ ู„ู€ Q of Y ุฏูŠ Y
964
+
965
+ 281
966
+ 00:33:32,400 --> 00:33:44,920
967
+ ุจุฏู‡ ูŠุณุงูˆูŠ ู„ุงู† absolute value ู„ู€ mu ุฒุงุฆุฏ ูƒูˆู†ุณุชุงู†ุช
968
+
969
+ 282
970
+ 00:33:44,920 --> 00:33:50,380
971
+ ุตุญ ู…ู…ูƒู† ุฃุฎุฏ ูƒูˆู†ุณุชุงู†ุช ุฃูŠ ู‚ูŠู…ุฉ ู„ู„ุณู‡ูˆู„ุฉ ุจู‚ุฏุฑ ุฃุฎุฏู‡ ุจ
972
+
973
+ 283
974
+ 00:33:50,380 --> 00:34:03,270
975
+ ุตูุฑ ูŠุจู‚ู‰ ู‡ู†ุง ุชูƒุงู…ู„ c ุชุณุงูˆูŠ ุตูุฑ ู†ุญุตู„ ุชูƒุงู…ู„ ู„ู€ q of y
976
+
977
+ 284
978
+ 00:34:03,270 --> 00:34:10,030
979
+ dy ูŠุณุงูˆูŠ ู„ู€ absolute value ู„ู€ mu ุฃู†ุง ู…ุง ุจุฏูŠุด
980
+
981
+ 285
982
+ 00:34:10,030 --> 00:34:15,230
983
+ absolute value ู„ู€ mu ุจุฏูŠ ุงู„ู€ mu itself ูŠุจู‚ู‰ ุงู„ู€ mu
984
+
985
+ 286
986
+ 00:34:15,230 --> 00:34:22,930
987
+ ุฃูˆ absolute value ู„ู€ mu ุจุฏูŠ ูŠุณุงูˆูŠ E ุฃูุณ ุชูƒุงู…ู„ ู„ู€ q
988
+
989
+ 287
990
+ 00:34:22,930 --> 00:34:29,660
991
+ of y dy ุฃู…ุฑ ุงู„ X ุจูˆู†ูŠู†ุด ุงู„ุชูŠ ูŠุฃุฎุฐ ู‚ูŠู…ุฉ ุณุงู„ุจุฉุŸ ู„ุฃ
992
+
993
+ 288
994
+ 00:34:29,660 --> 00:34:33,300
995
+ ูŠุจู‚ู‰ ุงู„ absolute value ู„ุง ู…ุนู†ู‰ ู„ู‡ุง ูŠุจู‚ู‰ ุจุฏูˆู†
996
+
997
+ 289
998
+ 00:34:33,300 --> 00:34:40,780
999
+ absolute value ูŠุจู‚ู‰ ุตุงุฑุช ู„ู€ U of Y ูŠุณุงูˆูŠ E ุฃุณ ุชูƒุงู…ู„
1000
+
1001
+ 290
1002
+ 00:34:40,780 --> 00:34:47,420
1003
+ EQ of Y DY ุฃุธู† ูˆู‡ูˆ ุงู„ู…ุทู„ูˆุจุŸ ู…ุด ู‡ูŠ ุงู„ุชูŠ ุจุฏู†ุง ู†ุซุจุชู‡ุŸ
1004
+
1005
+ 291
1006
+ 00:34:47,420 --> 00:34:51,620
1007
+ ู‡ูŠ ุฌุจู†ุงู‡ุง ู‚ูŠู…ุฉ ุงู„ู€ mu of y ู‡ูŠ ุงู„ exponential a
1008
+
1009
+ 292
1010
+ 00:34:51,620 --> 00:34:57,580
1011
+ ู…ุฑููˆุนุฉ ู„ู„ุฃุณ ุชูƒุงู…ู„ q of y dy ุญุฏ ููŠูƒูˆุง ุงู„ุชูŠ ู‡ูŠ ุชุณุงูˆูŠ
1012
+
1013
+ 293
1014
+ 00:34:57,580 --> 00:35:05,560
1015
+ ู‡ู†ุงุŸ ู‡ูŠุง ุชูุถู„ูŠ ู„ูŠุด ุญูˆู„ู†ุง ุงูŠุดุŸ
1016
+
1017
+ 294
1018
+ 00:35:05,560 --> 00:35:12,180
1019
+ ู‡ุฐู‡ุŸ ู‡ุฐู‡ ุงู„ุชูŠ ู‚ุงู„ ุงู„ู€ mu function ููŠ ู…ูŠู†ุŸ ููŠ whyุŸ
1020
+
1021
+ 295
1022
+ 00:35:12,180 --> 00:35:15,400
1023
+ ุฅุฐุง ู„ู…ุง ุชุจู‚ู‰ ุงู„ุฏุงู„ุฉ ููŠ ู…ุชุบูŠุฑ ูˆุงุญุฏ ุงุดุชู‚ุงู‚ ุฌุฒุกุŒ
1024
+
1025
+ 296
1026
+ 00:35:15,400 --> 00:35:20,480
1027
+ ูˆุงู„ู„ู‡ ุงุดุชู‚ุงู‚ ูƒู„ู‡ ุงุดุชู‚ุงู‚ ุงู„ุฌุฒุก ุฅุฐุง ูƒุงู†ุช ุงู„ุฏุงู„ุฉ ููŠ
1028
+
1029
+ 297
1030
+ 00:35:20,480 --> 00:35:24,300
1031
+ ู…ุชุบูŠุฑูŠู† ุฃูˆ ุฃูƒุซุฑุŒ ุจุณ ุฅุฐุง ู…ุชุบูŠุฑ ูˆุงุญุฏ ูŠุจู‚ู‰ ุงุดุชู‚ุงู‚ ูƒู„ู‡
1032
+
1033
+ 298
1034
+ 00:35:24,300 --> 00:35:29,300
1035
+ ูˆู„ูŠุณ ุงุดุชู‚ุงู‚ุง ุฌุฒุฆูŠุงุŒ ู…ุด ุดุงูƒุฑุฉ ุจุญูŠุงุชูŠุŸ ู‡ุฏุฃ ูˆู„ุง ู„ุงุŸ
1036
+
1037
+ 299
1038
+ 00:35:29,300 --> 00:35:35,200
1039
+ ุงู‡ ู…ุง ู†ุณูŠุชุด ูŠุนู†ูŠ ุฃู†ุง ู…ุธุจูˆุทุŸ ูˆุงุถุญุฉุŸ ุทูŠุจ ูƒูˆูŠุณ ูŠุจู‚ู‰ ุงู„ู€
1040
+
1041
+ 300
1042
+ 00:35:35,200 --> 00:35:40,240
1043
+ Mu of Y ุจูŠุณุงูˆูŠ ุงู„ exponential E of QY Dy ููŠ ุฃูŠ
1044
+
1045
+ 301
1046
+ 00:35:40,240 --> 00:35:46,220
1047
+ ุชุณุงูˆูŠ ุชุงู†ูŠ ูŠุง ุจู†ุงุงู†ุŸ ุงุณุฃู„ ูˆู„ุง ุชุฎุงููˆุด ุญุชู‰ ู„ูˆ ูƒุงู†
1048
+
1049
+ 302
1050
+ 00:35:46,220 --> 00:35:50,500
1051
+ ุงู„ุณุคุงู„ ุบู„ุทุŒ ุชุณุฃู„ ุงู„ูŠูˆู… ุบู„ุทุŒ ู…ูƒุฑุง ุจุชุณุฃู„ ุงูŠู‡ ุตุญุŸ ุญุจ
1052
+
1053
+ 303
1054
+ 00:35:50,500 --> 00:35:55,770
1055
+ ุชุณุฃู„ ุชุงู†ูŠุŸ ุทูŠุจ ุฃู†ุง ุงู„ุชูŠ ุจุณุฃู„ุŒ ู„ุงุฒู… ุชูƒูˆู†ุด ุชุณุฃู„ ุฃู†ุง
1056
+
1057
+ 304
1058
+ 00:35:55,770 --> 00:36:01,670
1059
+ ู‡ุญุท ุงู„ุณุคุงู„ ุงู„ุซุงู†ูŠ ูˆุฎู„ูŠูƒูˆุง ุชุฑูˆุญูˆุง ุชุซุจุชูˆุง ุฃู†ุชูˆ ุจู†ูุณ
1060
+
1061
+ 305
1062
+ 00:36:01,670 --> 00:36:12,390
1063
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุชูŠ ุฃุซุจุชู†ุง ููŠู‡ุง ุงู„ุณุคุงู„ ู‡ุฐุง ุฏูƒุชูˆุฑ
1064
+
1065
+ 306
1066
+ 00:36:12,390 --> 00:36:15,530
1067
+ ู‡ู„ ุจุชุนู…ู„ ุงุฌุชู…ุงุนุงุช ุงุฌุชู…ุงุนุงุช ุงู„ุชูŠ ู‡ุชุณุชุฎุฏู…ู‡ุง ุฅู†ู‡ู…
1068
+
1069
+ 307
1070
+ 00:36:15,530 --> 00:36:22,830
1071
+ ูŠุนู…ู„ูˆุง ุจูŠุงู†ุงุช ู†ุดุงุทุŸ ุงู‡ ูƒุฏู‡ ู‡ู„ุฃ ุฏูŠ ู…ุฑุฉ ูˆุงุญุฏ ุจูŠูƒุชุจุด ุฏูŠ
1072
+
1073
+ 308
1074
+ 00:36:22,830 --> 00:36:27,530
1075
+ ู‚ุฏุงุด ู‚ูŠู…ุชู‡ top or b ููŠ ุงู„ equation ุจุณ ููŠ ุงู„
1076
+
1077
+ 309
1078
+ 00:36:27,530 --> 00:36:31,690
1079
+ equation exact ูˆุจุฏูƒ ุชุชุฃูƒุฏ ุฅู†ู‡ุง exact ูˆู„ุง ู„ุฃ ู‡ุฐุง
1080
+
1081
+ 310
1082
+ 00:36:31,690 --> 00:36:34,170
1083
+ ู‡ูˆ ู„ูˆ ู…ุง ุทู„ุนุชุด exact ู…ุนู†ุงู‡ ุงู„ integrating factor
1084
+
1085
+ 311
1086
+ 00:36:34,170 --> 00:36:39,970
1087
+ ุชุจุนุชู‡ ุบู„ุท ุฃูˆ ุงุดุชู‚ุงู‚ ุบู„ุท ูˆุงุญุฏ ู…ู† ุงู„ุงุซู†ูŠู† ุชู…ุงู… ู†ุฌูŠ
1088
+
1089
+ 312
1090
+ 00:36:39,970 --> 00:36:44,050
1091
+ ู„ุณุคุงู„ ุงู„ุซุงู†ูŠ ุฃูˆ ุงู„ integrating factor ุงู„ุซุงู†ูŠ ุงู„ุชูŠ
1092
+
1093
+ 313
1094
+ 00:36:44,050 --> 00:36:48,550
1095
+ ู…ุญุทูˆุท ุนู†ุฏูƒูˆุง ุนู„ู‰ ุงู„ุณุคุงู„ ุงู„ุชูŠ ุจุนุฏู‡ ุฃุนุชู‚ุฏ 24 ูŠุจู‚ู‰
1096
+
1097
+ 314
1098
+ 00:36:48,550 --> 00:36:55,030
1099
+ ุงู„ุงู†ุชุฌุงุฑูŠูƒ ูุชุฑุฉ ุซุงู†ูŠุฉ ุจูŠู‚ูˆู„ if ุงู„ partial m by
1100
+
1101
+ 315
1102
+ 00:36:55,030 --> 00:37:02,450
1103
+ partial y ู†ุงู‚ุต partial n by partial x ุนู„ู‰ n ุจุฏู‡
1104
+
1105
+ 316
1106
+ 00:37:02,450 --> 00:37:13,390
1107
+ ูŠุณุงูˆูŠ f of x ุญูŠุซ ุงู„ f of x is a function
1108
+
1109
+ 317
1110
+ 00:37:31,130 --> 00:37:38,010
1111
+ ุนุงู…ู„ ุงู„ุชูƒุงู…ู„ of the differential equation of the
1112
+
1113
+ 318
1114
+ 00:37:38,010 --> 00:37:48,470
1115
+ differential equation MDX ุฒุงุฆุฏ ุงู„ N Dy ุชุณุงูˆูŠ Zero
1116
+
1117
+ 319
1118
+ 00:37:48,470 --> 00:38:01,030
1119
+ is ู„ู€ Mu of X ุจุฏู‡ ูŠุณุงูˆูŠ E ุฃุณุทู‰ ูƒุงู…ู„ F of X DX ูˆู‡ุฐู‡
1120
+
1121
+ 320
1122
+ 00:38:01,030 --> 00:38:09,530
1123
+ ุงู„ูƒุจุงู†ุงุช ุจุฏูƒ ุชุฑูˆุญ ุชุซุจุชูŠู‡ุง ูˆุชุดูŠูƒ ุนู„ูŠู‡ุง ูƒูŠูุŸ ุจู†ูุณ ุงู„
1124
+
1125
+ 321
1126
+ 00:38:09,530 --> 00:38:14,260
1127
+ tactic ุงู„ุชูŠ ู…ุดูŠู†ุง ููŠู‡ ุจุณ ุจุฏู„ ู‡ุฐู‡ partial mu by
1128
+
1129
+ 322
1130
+ 00:38:14,260 --> 00:38:17,740
1131
+ partial y ุจูŠุตูŠุฑ ุนู†ุฏูƒ partial mu by partial x ู‡ุฐู‡
1132
+
1133
+ 323
1134
+ 00:38:17,740 --> 00:38:21,680
1135
+ ุจุชุชุญูˆู„ ู„ุงุดุชู‚ุงู‚ ุงู„ูƒุงู…ู„ ูˆู‡ุฐู‡ ุจูŠุตูŠุฑ ููŠู‡ุง ุตูุฑ ูŠุงู…ูˆ
1136
+
1137
+ 324
1138
+ 00:38:21,680 --> 00:38:26,800
1139
+ ุจูŠุทู„ุน ู…ุนูƒ ู†ุชูŠุฌุฉ ุฏูˆุฑูŠ ุชู…ุงู…ุŸ ุทูŠุจ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ู„ู…ูŠู†
1140
+
1141
+ 325
1142
+ 00:38:26,800 --> 00:38:30,720
1143
+ ุงู„ integrating factor ุงู„ุซุงู†ูŠ ุงู„ุณุคุงู„ ู‡ูˆ ูƒูŠู ุจุฏู†ุง
1144
+
1145
+ 326
1146
+ 00:38:30,720 --> 00:38:35,000
1147
+ ู†ู…ูŠุฒ ู…ุจุงุฏุฆ ุงู„ integrating factor ู‡ุฐุง ูˆุงู„
1148
+
1149
+ 327
1150
+ 00:38:35,000 --> 00:38:41,630
1151
+ integrating factor ุงู„ุซุงู†ูŠ ู‡ุฐุง ู…ุธุจูˆุท ุงุญู†ุง ู‡ู†ุชู„ุฎุจุท
1152
+
1153
+ 328
1154
+ 00:38:41,630 --> 00:38:46,430
1155
+ ู†ุฌุณู… ุนู„ู‰ M ูˆู„ุง ู†ุฌุณู… ุนู„ู‰ N ู‡ุฐุง ุจูŠูƒูˆู† ุฌุณู… ุนู„ู‰ M ูˆู„ุง
1156
+
1157
+ 329
1158
+ 00:38:46,430 --> 00:38:50,530
1159
+ ู„ุง ู†ุฌุณู… ุนู„ู‰ N ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ุฃู† ู‡ุฐุง N ูˆู‡ุฐุง N ู‡ุฐุง
1160
+
1161
+ 330
1162
+ 00:38:50,530 --> 00:38:53,830
1163
+ ุณุงู„ุจ ูˆู‡ุฐุง ู…ูˆุฌุจ ูˆู‡ุฐุง ูƒู…ูˆุฌุจ ูˆู‡ุฐุง ุณุงู„ุจ ู†ู‚ู„ุจ ุงู„ุบุถุจ
1164
+
1165
+ 331
1166
+ 00:38:53,830 --> 00:39:00,290
1167
+ ุชู…ุงู… ุจูƒู„ ุจุณุงุทุฉ ุทู„ุนูŠู‡ ู‡ู†ุง ูƒูˆูŠุณ ุชูŠุฌูŠ ู„ุจุนุฏ ุงู„ุณุงู„ุจ ุดูˆ
1168
+
1169
+ 332
1170
+ 00:39:00,290 --> 00:39:05,470
1171
+ ุงุณู…ู‡ partial M ุนู„ู‰ partial Y ุงู„ M ู‡ุฐู‡ ุจุชุตูŠุฑ ููŠ
1172
+
1173
+ 333
1174
+ 00:39:05,470 --> 00:39:11,200
1175
+ ุงู„ู…ู‚ุงู… ูˆุงู„ุฏู„ุฉ ุจุฏุฃุช ุชุทู„ุน function ููŠ main ููŠ y ุจู„ู‘ุน
1176
+
1177
+ 334
1178
+ 00:39:11,200 --> 00:39:15,380
1179
+ ู‡ู†ุง ู‡ูŠ ุงู„ุณู„ู… partial in ุนู„ู‰ partial x ูŠุจู‚ู‰ ุณู…ู† ุนู„ู‰
1180
+
1181
+ 335
1182
+ 00:39:15,380 --> 00:39:19,640
1183
+ main ูˆุงู„ู†ุชุฌ function ููŠ ุงู„ู…ุชุบูŠุฑ ุงู„ุชูŠ ุชุญุชู‡
1184
+
1185
+ 336
1186
+ 00:39:19,640 --> 00:39:24,650
1187
+ ูˆุจุงู„ุชุงู„ูŠ ุจุตูŠุฑ ู…ุด ุฅู…ูƒุงู†ูŠุฉ ู„ู„ุฎุทุฃ ุชู…ุงู…ุง ูŠุจู‚ู‰ ุจุฃุทู„ุน ุนู„ู‰
1188
+
1189
+ 337
1190
+ 00:39:24,650 --> 00:39:28,750
1191
+ ุชุจุน ุงู„ุดุฑุท ุงู„ุชูŠ ู…ูƒุชูˆุจ ุจุงู„ุณุงู„ู‚ partial n ูŠุจู‚ู‰ ุจุฏูŠ
1192
+
1193
+ 338
1194
+ 00:39:28,750 --> 00:39:34,210
1195
+ ุฃุฌุณู… ุนู„ู‰ n ูˆุงู„ู†ุชุฌ ุจุฏูŠ ุชุทู„ุน ุฏุงู„ุฉ ููŠ x partial m ุนู„ู‰
1196
+
1197
+ 339
1198
+ 00:39:34,210 --> 00:39:40,250
1199
+ partial y ุจุฏูŠ ุฃุฌุณู… ุนู„ู‰ m ูˆุงู„ู†ุชุฌ ุจุฏูŠ ุชุทู„ุน ุฏุงู„ุฉ ููŠ y
1200
+
1201
+ 340
1202
+ 00:39:40,250 --> 00:39:44,910
1203
+ ุทุจุนุง ุงู„ุขู† ุจุฏู†ุง ู†ุงุฎุฏ ุฃู…ุซู„ุฉ ุนู„ู‰ ุงู„ integrating
1204
+
1205
+ 341
1206
+ 00:39:44,910 --> 00:39:52,070
1207
+ factors ุฃูˆู„ ู…ุซู„ ุจูŠู‚ูˆู„ ู…ุง ูŠู„ูŠ
1208
+
1209
+ 342
1210
+ 00:39:58,250 --> 00:40:04,290
1211
+ example one find
1212
+
1213
+ 343
1214
+ 00:40:04,290 --> 00:40:08,690
1215
+ the
1216
+
1217
+ 344
1218
+ 00:40:08,690 --> 00:40:15,170
1219
+ integrating factor
1220
+
1221
+ 345
1222
+ 00:40:15,170 --> 00:40:25,890
1223
+ ุจุฏู†ุง ู†ุนู…ู„ ุงู„ุชูƒุงู…ู„ and solve the following
1224
+
1225
+ 346
1226
+ 00:40:30,930 --> 00:40:39,790
1227
+ differential equations ู†ู…ุฑ ุฏูŠ
1228
+
1229
+ 347
1230
+ 00:40:39,790 --> 00:40:53,350
1231
+ x ุฒุงุฆุฏ X ุนู„ู‰ Y ู†ุงู‚ุต sign ุงู„ Y ูƒู„ู‡ุง ููŠ ุฏูŠ Y ุจุฏุฃุช
1232
+
1233
+ 348
1234
+ 00:40:53,350 --> 00:41:05,350
1235
+ ุชุณุงูˆูŠ Zero ูˆุงู„ Y greater than zero ุณู…ูŠ
1236
+
1237
+ 349
1238
+ 00:41:05,350 --> 00:41:11,070
1239
+ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ ูŠุจู‚ู‰
1240
+
1241
+ 350
1242
+ 00:41:11,070 --> 00:41:19,450
1243
+ ุจุฏุงู„ูŠ ู„ู„ solution ู‡ุฐุง ุณุคุงู„ 27 ู…ู† ุงู„ูƒุชุงุจ ู‡ู†ุง ุณุคุงู„
1244
+
1245
+ 351
1246
+ 00:41:19,450 --> 00:41:25,380
1247
+ ู…ุฑุฉ ุซุงู†ูŠุฉ ุจูŠู‚ูˆู„ ู‡ุงุชู„ูŠ ุนุงู…ู„ุฉ ุชูƒุงู…ู„ ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ุชูŠ ุนู†ุฏู†ุง
1248
+
1249
+ 352
1250
+ 00:41:25,380 --> 00:41:30,880
1251
+ ู‡ุฐู‡ุŒ ุงุชู†ูŠู† ุญู„ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ูƒุฐู„ูƒุŒ ุจู†ู‚ูˆู„ู‡ ูˆุงู„ู„ู‡
1252
+
1253
+ 353
1254
+ 00:41:30,880 --> 00:41:36,000
1255
+ ูƒูˆูŠุณุŒ ุงู„ุฃูˆู„ ู†ุชุฃูƒุฏ ู‡ู„ ู‡ูŠ exactุŒ ูˆุงู„ู„ู‡ ู…ุงู‡ูŠ exactุŒ
1256
+
1257
+ 354
1258
+ 00:41:36,000 --> 00:41:40,780
1259
+ ู…ุด ู‡ุฑูˆุญ ุฃุฏุฑุจ ุฏูˆุฑูŠ ูˆู„ุง ุฃุญุณุจ ุฏูˆุฑูŠุŒ ูŠุจู‚ู‰ ู‡ุฐู‡ ุนู†ุฏู†ุง MุŒ
1260
+
1261
+ 355
1262
+ 00:41:40,780 --> 00:41:46,160
1263
+ ุฃุจุฌุฏุงุด ูŠุง ุจู†ุงุชุŸ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠูƒ partial M ุนู„ู‰
1264
+
1265
+ 356
1266
+ 00:41:46,160 --> 00:41:51,800
1267
+ partial Y ุจุฏูŠ ูŠุณุงูˆูŠ ู‚ุฏุงุดุŸ ุตูุฑ ุจุฏู†ุง partial N ุนู„ู‰
1268
+
1269
+ 357
1270
+ 00:41:51,800 --> 00:41:59,960
1271
+ partial X ู…ุดุชู‚ุฉ ู‡ุฐู‡ ุจู‚ุฏุงุดุŸ 1 ุนู„ู‰ Y ููŠ ุบูŠุฑู‡ุง ูˆู…ุดุชู‚ุชู‡ุง
1272
+
1273
+ 358
1274
+ 00:41:59,960 --> 00:42:05,500
1275
+ ุฏูŠ ู…ู‡ูŠุจ ุตูุฑ ุชู…ุงู… ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠู„ูƒ ุฅู†ู‡ partial
1276
+
1277
+ 359
1278
+ 00:42:05,500 --> 00:42:12,140
1279
+ M ุนู„ู‰ partial Y ู„ุง ูŠุณุงูˆูŠ partial N ุนู„ู‰ partial X
1280
+
1281
+ 360
1282
+ 00:42:12,140 --> 00:42:20,420
1283
+ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠู„ูƒ ุฅู†ู‡ ู„ุง differential equation one is
1284
+
1285
+ 361
1286
+ 00:42:20,420 --> 00:42:22,040
1287
+ not exact
1288
+
1289
+ 362
1290
+ 00:42:25,340 --> 00:42:29,360
1291
+ ุจู‚ู‰ ู‡ุฐุง ุจูŠุนุทูŠู‡ ุฅู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู…ุงู‡ูŠุงุด exact ุฅุฐุง
1292
+
1293
+ 363
1294
+ 00:42:29,360 --> 00:42:34,440
1295
+ ุจุฏูŠ ุฃุฑูˆุญ ุฃุฏูˆุฑ ุนู„ู‰ function ุงู„ function ู‡ุฐู‡ ุชุฎู„ูŠู‡ุง
1296
+
1297
+ 364
1298
+ 00:42:34,440 --> 00:42:40,340
1299
+ ู„ูŠ exact ุจู‚ูˆู„ู‡ ูˆุงู„ู„ู‡ ูƒูˆูŠุณ ูƒูŠู ุจู†ุณูˆูŠู‡ุŸ ุจู†ู‚ูˆู„ ุชุนุงู„ู‰
1300
+
1301
+ 365
1302
+ 00:42:40,340 --> 00:42:44,100
1303
+ ู†ุดูˆู ุงู„ integrating factors ุงู„ุชูŠ ุนู†ุฏู†ุง ุฃู†ุง ุนู†ุฏูŠ
1304
+
1305
+ 366
1306
+ 00:42:44,100 --> 00:42:48,320
1307
+ partial M ุนู„ู‰ partial Y ูŠุณุงูˆูŠ ุตูุฑ partial N ุนู„ู‰
1308
+
1309
+ 367
1310
+ 00:42:48,320 --> 00:42:54,060
1311
+ partial X ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ Y ุฅุฐุง ูƒูŠู ู…ุง ุฃุนู…ู„ ุงู„ูุฑู‚
1312
+
1313
+ 368
1314
+ 00:42:54,060 --> 00:42:59,060
1315
+ ุงู„ูุฑู‚ ุจูŠู†ู‡ู… ูˆุงุญุฏ ุนู„ู‰ Y ุฃู…ุง ุจุงู„ู…ูˆุฌุจ ุฃูˆ ุจุงู„ุณุงู„ุจ ุตุญูŠุญ
1316
+
1317
+ 369
1318
+ 00:42:59,060 --> 00:43:02,940
1319
+ ูˆู„ุง ู„ุงุŸ ู„ูˆ ุฌุณู…ุช ุนู„ู‰ ูˆุงุญุฏ ุจูŠุทู„ุน ูˆุงุญุฏ ุนู„ู‰ Y ุงู„ุชูŠ ู‡ูˆ
1320
+
1321
+ 370
1322
+ 00:43:02,940 --> 00:43:08,780
1323
+ function ููŠ Y only ูŠุจู‚ู‰ ุฃูุถู„ ุดุบู„ ุฃุฑูˆุญ ุฃุฎุฏู‡ ู…ู†
1324
+
1325
+ 371
1326
+ 00:43:08,780 --> 00:43:17,870
1327
+ partial N Partial N ุนู„ู‰ Partial X ู†ุงู‚ุต Partial M
1328
+
1329
+ 372
1330
+ 00:43:17,870 --> 00:43:24,650
1331
+ ุนู„ู‰ Partial Y ุนู„ู‰ M ูˆุดูˆููˆุง ูƒุฏู‡ ุฅูŠุด ุชุณุงูˆูŠ Partial N
1332
+
1333
+ 373
1334
+ 00:43:24,650 --> 00:43:30,050
1335
+ ุนู„ู‰ Partial X ุจูˆุงุญุฏ ุนู„ู‰ Y Partial M ุนู„ู‰ Partial Y
1336
+
1337
+ 374
1338
+ 00:43:30,050 --> 00:43:36,050
1339
+ ุจ ุตูุฑ ู†ู‚ุณู… ุนู„ู‰ M ุงู„ุชูŠ ู‡ูˆ ุจูˆุงุญุฏ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ Y ู„
1340
+
1341
+ 375
1342
+ 00:43:36,050 --> 00:43:41,680
1343
+ function of Y only ุฃู…ุงู…
1344
+
1345
+ 376
1346
+ 00:44:06,710 --> 00:44:11,730
1347
+ ุฅุฐุง ุญุณุจู†ุง ุชูุงุถู„ N ุจุงู„ู†ุณุจุฉ ู„ X ู†ุงู‚ุต ุชูุงุถู„ N ุจุงู„ู†ุณุจุฉ
1348
+
1349
+ 377
1350
+ 00:44:11,730 --> 00:44:16,030
1351
+ ู„ Y ุนู„ู‰ Y ู„ุฌุงุชู†ุง function ููŠ Y only ูŠุจู‚ู‰ ุนุงู…ู„
1352
+
1353
+ 378
1354
+ 00:44:16,030 --> 00:44:19,290
1355
+ ุงู„ุชูƒุงู…ู„ ู‡ูŠูƒูˆู† function ููŠ Y
1356
+
1357
+ 379
1358
+ 00:44:24,910 --> 00:44:30,970
1359
+ ุงูŠู‡ ุชูƒุงู…ู„ ู„ Q of Y ุฏูŠ Y ุทุจุนุง ู…ูŠู† ู„ Q of Y ู‡ุฐู‡
1360
+
1361
+ 380
1362
+ 00:44:30,970 --> 00:44:36,890
1363
+ ูƒู„ู‡ุง ู„ Q of Y ู‡ุฐู‡ ูƒู„ู‡ุง ุงู„ุชูŠ ูƒู†ุง ู…ุฒู„ู‡ุง ููŠ ุงู„ุณุคุงู„ ู„
1364
+
1365
+ 381
1366
+ 00:44:36,890 --> 00:44:40,610
1367
+ Q of Y ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏู‡ ูŠุณุงูˆูŠ
1368
+
1369
+ 382
1370
+ 00:44:45,730 --> 00:44:53,490
1371
+ ูŠุจู‚ู‰ ุงู„ุฌูˆุงุจ E ุฃุณ ln absolute value ู„ Y ู„ูƒู† Y ุฃูƒุจุฑ
1372
+
1373
+ 383
1374
+ 00:44:53,490 --> 00:44:57,630
1375
+ ู…ู† Zero ูŠุจู‚ู‰ ู„ุง ุฏุงุนูŠ ู„ู…ูŠู†ุŸ ู„ู„ absolute ู…ุง ุนุทูŠู†ูŠ Y
1376
+
1377
+ 384
1378
+ 00:44:57,630 --> 00:45:02,730
1379
+ ุฃูƒุจุฑ ู…ู† Zero ุฅุฐู† ุงู„ู†ุชูŠุฌุฉ ุชุณุงูˆูŠ ูƒุฏู‡ุŸ Y ูŠุจู‚ู‰ ุงู„
1380
+
1381
+ 385
1382
+ 00:45:02,730 --> 00:45:07,960
1383
+ integrating factor ู‡ูˆ Y ุจุนุฏ ู‡ูŠูƒ ุจุฏู†ุง ู†ุถุฑุจ ุงู„ู…ุนุงุฏู„ุฉ
1384
+
1385
+ 386
1386
+ 00:45:07,960 --> 00:45:12,560
1387
+ ูˆุงุญุฏ ูƒู„ู‡ุง ููŠ ุงู„ integrating factor ุงู„ุชูŠ ู‡ูˆ Y ูŠุจู‚ู‰
1388
+
1389
+ 387
1390
+ 00:45:12,560 --> 00:45:18,000
1391
+ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ multiply equation
1392
+
1393
+ 388
1394
+ 00:45:18,390 --> 00:45:29,290
1395
+ one by y we get ู†ุญุตู„ ุนู„ู‰ ุงู„ู…ุนุงุฏู„ุฉ ุจูŠุตูŠุฑ y ููŠ dx
1396
+
1397
+ 389
1398
+ 00:45:29,290 --> 00:45:38,930
1399
+ ุฒุงุฆุฏ ุชุนุงู„ู‰ ู†ุฌูŠ ู„ู„ุซุงู†ูŠ ู‡ู†ุง ู†ุถุฑุจ ููŠ y ุจูŠุตูŠุฑ x ู†ุงู‚ุต y
1400
+
1401
+ 390
1402
+ 00:45:40
1403
+
1404
+ 431
1405
+ 00:50:27,220 --> 00:50:34,220
1406
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
1407
+
1408
+ 432
1409
+ 00:50:34,220 --> 00:50:34,320
1410
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
1411
+
1412
+ 433
1413
+ 00:50:34,320 --> 00:50:34,400
1414
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
1415
+
1416
+ 434
1417
+ 00:50:34,400 --> 00:50:38,400
1418
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
1419
+
1420
+ 435
1421
+ 00:50:38,400 --> 00:50:38,460
1422
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
1423
+
1424
+ 436
1425
+ 00:50:38,460 --> 00:50:44,220
1426
+ ุฃู†ุง ุฃู†ุง
1427
+
1428
+ 437
1429
+ 00:51:11,060 --> 00:51:22,360
1430
+ ูŠุจู‚ู‰ ู†ู…ุฑุฉ ุจูŠู‡ ุจูŠู‚ูˆู„ ู„ูŠ x y ู†ุงู‚ุต ุฒุงุฆุฏ y ุชุฑุจูŠุน ูƒู„ู‡ ููŠ
1431
+
1432
+ 438
1433
+ 00:51:22,360 --> 00:51:36,100
1434
+ dx ุฒุงุฆุฏ x ุฒุงุฆุฏ 2y ู†ุงู‚ุต 1 ููŠ dy ุจุฏู‡ ูŠุณุงูˆูŠ ุฒูŠู‘ู‡
1435
+
1436
+ 439
1437
+ 00:51:36,100 --> 00:51:45,730
1438
+ ูˆู†ุณู…ูŠู‡ุง ู„ู„ู…ุนู†ู‰ ุฑู‚ู… 1 ูˆู†ุญู„ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ู†ุงุฎุฐ
1439
+
1440
+ 440
1441
+ 00:51:45,730 --> 00:51:53,430
1442
+ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ Y
1443
+
1444
+ 441
1445
+ 00:51:53,430 --> 00:52:03,130
1446
+ ุจู€ X ุฒุงุฆุฏ 2Y ู†ุงุฎุฐ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ X
1447
+
1448
+ 442
1449
+ 00:52:10,130 --> 00:52:17,290
1450
+ ูˆุงุถุญ ุฃู† 2 ู„ูŠุณูˆุง ุจุนุถ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠูƒ ุชูุงุถู„
1451
+
1452
+ 443
1453
+ 00:52:17,290 --> 00:52:25,230
1454
+ ุงู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ู„ุง ูŠุณุงูˆูŠ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ุฅู„ู‰
1455
+
1456
+ 444
1457
+ 00:52:25,230 --> 00:52:28,950
1458
+ X ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠูƒ ุฃู† ุงู„
1459
+
1460
+ 445
1461
+ 00:52:34,270 --> 00:52:40,670
1462
+ is not exact ู…ุงู‡ูŠู‘ุด exact ูŠุจู‚ู‰ ุงู„ูˆุงุญุฏ ูŠุฏูˆุฑ ุนู„ู‰
1463
+
1464
+ 446
1465
+ 00:52:40,670 --> 00:52:45,670
1466
+ ู…ูŠู†ุŸ ุนู„ู‰ ุงู„ integrating factor ุจู‚ูˆู„ ู„ู‡ ูˆุงู„ู„ู‡ ูƒูˆูŠุณ
1467
+
1468
+ 447
1469
+ 00:52:45,670 --> 00:52:49,270
1470
+ ุชุนุงู„ูŽ ู†ุฏูˆุฑ ุนู„ู‰ ุงู„ integrating factor partially and
1471
+
1472
+ 448
1473
+ 00:52:49,270 --> 00:52:53,990
1474
+ by partially ูˆู†ุงู‚ุต partially ูŠุจู‚ู‰ ู‡ุฐุง ู†ุงู‚ุต ู‡ุฐุง ุฃู‡
1475
+
1476
+ 449
1477
+ 00:52:53,990 --> 00:53:00,170
1478
+ ู‡ูˆ ู‡ุฐุง ูˆู„ุง ู„ุง ุตุญุŸ ูˆุงู„ู„ู‡ ูƒูˆูŠุณ ูุฑุตุฉ ุทูŠุจุฉ ูŠุจู‚ู‰ ู„ูˆ ุฌุฆุช
1479
+
1480
+ 450
1481
+ 00:53:00,170 --> 00:53:07,940
1482
+ ู‚ู„ุช ู‡ู†ุง ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ู†ุงู‚ุต ุชูุงุถู„ ุงู„ N
1483
+
1484
+ 451
1485
+ 00:53:07,940 --> 00:53:12,820
1486
+ ุจุงู„ู†ุณุจุฉ ู„ู€ X ุจุฏู‡ ูŠุณู…ู‘ูˆู‡ ุนุงู„ู…ูŠุงู‹ ูˆุจุฏู‡ ุงู„ู†ุงุชุฌ ูŠุทู„ุน
1487
+
1488
+ 452
1489
+ 00:53:12,820 --> 00:53:17,640
1490
+ function ููŠ X only ูŠุจู‚ู‰ partial M ุนู„ู‰ partial Y
1491
+
1492
+ 453
1493
+ 00:53:17,640 --> 00:53:22,860
1494
+ ุงู„ู„ูŠ ู‡ูˆ X ุฒุงุฆุฏ 2Y ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ X ุงู„ู„ูŠ ู‡ูˆ
1495
+
1496
+ 454
1497
+ 00:53:22,860 --> 00:53:30,240
1498
+ 1 ุนู„ู‰ ุฃู† ุงู„ X ุฒุงุฆุฏ 2Y ู†ุงู‚ุต 1 ูƒู„ู‡ ุจูŠุณุงูˆูŠ
1499
+
1500
+ 455
1501
+ 00:53:30,240 --> 00:53:37,250
1502
+ ูƒุฐุงู‘ุดุŸ X ุฒูŠู‘ 2
1503
+
1504
+ 456
1505
+ 00:53:37,250 --> 00:53:41,170
1506
+ 1 ู†ู‚ู„ู‡ุง ูƒู„ ู‡ุฐุง ุจูŠุณุงูˆูŠ ูƒุฏู‡ 1 ูŠุง ุนู…ูŠ ุงู„ูƒูˆู†ุต
1507
+
1508
+ 457
1509
+ 00:53:41,170 --> 00:53:46,550
1510
+ ุฏู‡ ู…ุง ุฑุงุญ ุชุนุชุจุฑู‡ function ููŠ ุงู„ู…ุชุบูŠุฑ ุงู„ู„ูŠ ุนู†ุฏูƒ ู‡ุฐุง
1511
+
1512
+ 458
1513
+ 00:53:46,550 --> 00:53:54,800
1514
+ ู‡ู†ุง ูŠุจู‚ู‰ ู‡ุฐุง ุจุฃุนุชุจุฑู‡ function of x only ูŠุจู‚ู‰ ุตุงุฑ ุงู„
1515
+
1516
+ 459
1517
+ 00:53:54,800 --> 00:54:02,220
1518
+ integrating factor ู…ูŠูˆ of X ูŠุจู‚ู‰ ูŠุณุชูƒุงู…ู„
1519
+
1520
+ 460
1521
+ 00:54:02,220 --> 00:54:08,340
1522
+ 1 ููŠ DX ูŠุจู‚ู‰ ุงู„ุฌูˆุงุจ ู‚ุฏุงุด e^x ูŠุจู‚ู‰ ุงู„ integrating
1523
+
1524
+ 461
1525
+ 00:54:08,340 --> 00:54:13,620
1526
+ factor ู‡ูˆ ู…ูŠู†ุŸ ู‡ูˆ e^x ุฅุฐุง ุจุฏูŠ ุฃุฌูŠ ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุนู†ุฏูŠ
1527
+
1528
+ 462
1529
+ 00:54:13,620 --> 00:54:19,600
1530
+ ู‡ุฐู‡ ููˆู‚ ูˆุฃุถุฑุจู‡ุง ูƒู„ู‡ุง ููŠ ู…ูŠู†ุŸ ููŠ e^x ูŠุจู‚ู‰ ุจุฃุฌูŠ ุจู‚ูˆู„ ู„ู‡
1531
+
1532
+ 463
1533
+ 00:54:19,600 --> 00:54:20,600
1534
+ multiply
1535
+
1536
+ 464
1537
+ 00:54:23,250 --> 00:54:34,970
1538
+ equation one by e^x we get ุจุถุฑุจู‡ุง ููŠ e^x ุจูŠุตูŠุฑ x y
1539
+
1540
+ 465
1541
+ 00:54:34,970 --> 00:54:48,770
1542
+ e^x ุฒุงุฆุฏ y ุชุฑุจูŠุน ููŠ e^x ููŠ dx ุฒุงุฆุฏุงู‹ x e^x ุฒุงุฆุฏุงู‹
1543
+
1544
+ 466
1545
+ 00:54:48,770 --> 00:54:57,690
1546
+ 2y e^x ู†ุงู‚ุต e^x ูƒู„ู‡ ููŠ dy ุจุฏู‡ ูŠุณุงูˆูŠ ูƒุฏู‡ุŸ
1547
+
1548
+ 467
1549
+ 00:54:57,690 --> 00:54:59,650
1550
+ ุจุฏู‡ ูŠุณุงูˆูŠ 0
1551
+
1552
+ 468
1553
+ 00:55:24,950 --> 00:55:28,810
1554
+ ุทูŠุจ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุฃุตุจุญุช ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ู„ูŠ
1555
+
1556
+ 469
1557
+ 00:55:28,810 --> 00:55:32,030
1558
+ ุฃู†ุง ู‡ุฐุง ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุจุฏูŠ ุฃุณู…ูŠู‡ุง ุงู„ู…ุนุงุฏู„ุฉ
1559
+
1560
+ 470
1561
+ 00:55:32,030 --> 00:55:37,650
1562
+ ุฑู‚ู… 2 ุฅุฐุง ุจุฏูŠ ุฃุจุญุซ ู‡ู„ ู‡ุฐู‡ exact ูˆุงู„ู„ู‡ ู…ุงู‡ูŠู‘ุด
1563
+
1564
+ 471
1565
+ 00:55:37,650 --> 00:55:44,490
1566
+ exact ุฅุฐุง ุจุฏูŠ ุฃุฎุฐ ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูŠุจู‚ู‰
1567
+
1568
+ 472
1569
+ 00:55:44,490 --> 00:55:49,270
1570
+ ุจุฏูŠ ุฃุดุชู‚ ู‡ุฐู‡ ูƒู„ู‡ุง ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูˆุงุถุญ ู„ู‡ ุงู„ X e
1571
+
1572
+ 473
1573
+ 00:55:49,270 --> 00:56:00,790
1574
+ ูˆุงู„ 6 x e^6 ุฎู„ุตู†ุง ู…ู† a a ุฒุงุฆุฏ x e^6 ุฒุงุฆุฏ 2
1575
+
1576
+ 474
1577
+ 00:56:04,400 --> 00:56:11,740
1578
+ ุจุนุฏ ุฐู„ูƒ ูŠุงุฎุฐ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ูŠุจู‚ู‰ ู‡ุฐุง
1579
+
1580
+ 475
1581
+ 00:56:11,740 --> 00:56:18,700
1582
+ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูŠุจู‚ู‰ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰ ููŠ ู…ุดุชู‚ุฉ ุงู„ X
1583
+
1584
+ 476
1585
+ 00:56:18,700 --> 00:56:24,360
1586
+ ุจ X ุจ X ูŠุชุตู„ ุฒุงุฆุฏ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ e^6 ููŠ
1587
+
1588
+ 477
1589
+ 00:56:24,360 --> 00:56:32,480
1590
+ ู…ุดุชู‚ุฉ ุงู„ X ูŠุจู‚ู‰ ุฏุงู„ู‘ุชู‡ ุจู€ 1 2y ููŠ ู…ุดุชู‚ุฉ ุงู„ e^x
1591
+
1592
+ 478
1593
+ 00:56:32,480 --> 00:56:38,580
1594
+ ุจ e^x itself ู†ุงู‚ุต ู…ุดุชู‚ุฉ ุงู„ e^x ุจ e^x
1595
+
1596
+ 479
1597
+ 00:56:38,580 --> 00:56:43,980
1598
+ ูุงู„ู„ูŠู‘ู„ูŠ ู‡ุฐู‡ ูˆู‡ุฐู‡ ุงู„ู„ู‡ ูŠุณู‡ู‘ู„ ุนู„ูŠู‡ู… ุบูŠุฑ ู…ุฃุณูˆู ุนู„ูŠู‡ู…
1599
+
1600
+ 480
1601
+ 00:56:43,980 --> 00:56:50,960
1602
+ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ู‚ุฏุงุด ุจุฏู‡ ูŠุณุงูˆูŠุŸ ุจุฏู‡ ูŠุณุงูˆูŠ X ููŠ e^x
1603
+
1604
+ 481
1605
+ 00:56:50,960 --> 00:57:00,280
1606
+ ุฒุงุฆุฏ 2y e^x ุทู„ุน ู‡ู†ุง ูˆู‡ู†ุงูƒ ุจุชู„ุงู‚ูŠ ุงู„ู‚ูŠู…ุชูŠู† ู†ูุณ
1607
+
1608
+ 482
1609
+ 00:57:00,280 --> 00:57:06,380
1610
+ ุงู„ุดูŠุก ู…ุนู†ุงู‡ ุงู„ termูŠู† ู‡ุฏูˆู„ ุจูŠุณุงูˆูˆุง ุจุนุถ ุชูุงุถู„ ุงู„ M
1611
+
1612
+ 483
1613
+ 00:57:06,380 --> 00:57:13,140
1614
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูŠุณุงูˆูŠ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ู‡ุฐุง
1615
+
1616
+ 484
1617
+ 00:57:13,140 --> 00:57:19,200
1618
+ ุจุฏู‡ ูŠุนุทูŠู†ุง ุฃู† ุงู„ differential equation 2
1619
+
1620
+ 485
1621
+ 00:57:19,200 --> 00:57:27,970
1622
+ ุณู…ูŠู†ุงู‡ุง 2 as exact ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ูŠุนุทูŠู†ุง ุฃู† ู‡ู†ุงูƒ
1623
+
1624
+ 486
1625
+ 00:57:27,970 --> 00:57:38,830
1626
+ ู…ูู‡ูˆู… ุฅุจุณูŠู„ูˆู† of x y such that ุจุญูŠุซ ุฃู† partial
1627
+
1628
+ 487
1629
+ 00:57:38,830 --> 00:57:46,590
1630
+ ุฅุจุณูŠู„ูˆู† ุนู„ู‰ partial x ูŠุณุงูˆูŠ ุชูุงุถู„ ุฅุจุณูŠู„ูˆู† ุจุงู„ู†ุณุจุฉ ุฅู„ู‰
1631
+
1632
+ 488
1633
+ 00:57:46,590 --> 00:57:58,630
1634
+ x ุงู„ู„ูŠ ู‡ูˆ m x y e^x ุฒุงุฆุฏ y ุชุฑุจูŠุน ุงู„ e^x ูˆ partial
1635
+
1636
+ 489
1637
+ 00:57:58,630 --> 00:58:02,570
1638
+ ุฅุจุณูŠู„ูˆู† by partial y ุงู„ term ุงู„ุซุงู†ูŠ
1639
+
1640
+ 490
1641
+ 00:58:13,640 --> 00:58:20,780
1642
+ ุงู„ุณุคุงู„ ู‡ูˆ ุฅูŠู‡ุŸ ู…ุง ุฃุณู‡ู„ ุฃู† ู†ูƒู…ู„ ุงู„ุฏุงู„ุฉ ุงู„ุฃูˆู„ู‰
1643
+
1644
+ 491
1645
+ 00:58:20,780 --> 00:58:26,580
1646
+ ุจุงู„ู†ุณุจุฉ ู„ X ูˆ ูˆุงู„ู„ู‡ ุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ุจุงู„ู†ุณุจุฉ ู„ YุŸ ุชุนู†ูŠ
1647
+
1648
+ 492
1649
+ 00:58:26,580 --> 00:58:31,260
1650
+ ุจุงู„ู†ุณุจุฉ ู„ Y ุฃุณู‡ู„ ูƒุซูŠุฑ ู„ุฃู† ุงู„ุฃูˆู„ู‰ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู†
1651
+
1652
+ 493
1653
+ 00:58:31,260 --> 00:58:34,860
1654
+ ูˆุจุฏู†ุง ู†ูƒู…ู„ู‡ุง ู‡ุฃุถุทุฑ ู„ู„ุฌุฏูˆู„ ูˆู‚ุต integration by parts
1655
+
1656
+ 494
1657
+ 00:58:34,860 --> 00:58:41,780
1658
+ ู„ูƒู† ู‡ุฐู‡ ุฃุจุฏุงู‹ ู‡ุฐู‡ ุฏูˆุฑูŠ ุฅุฐุง ู„ูˆ ุฌุฆุช ูƒู…ู„ุช ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ
1659
+
1660
+ 495
1661
+ 00:58:41,780 --> 00:58:49,680
1662
+ ุฅู„ู‰ Y ูŠุจู‚ู‰ if Psi of X ูˆ Y ุชุณุงูˆูŠ ุจุฏูŠ ุฃูƒู…ู„ู‡ุง ุจุงู„ู†ุณุจุฉ
1663
+
1664
+ 496
1665
+ 00:58:49,680 --> 00:58:58,800
1666
+ ู„ Y X ููŠ e^6 ู…ู‚ุฏุงุฑ ุซุงุจุช ูุจู†ุถุฑุจู‡ ููŠ Y ุฒุงุฆุฏ 2
1667
+
1668
+ 497
1669
+ 00:58:58,800 --> 00:59:06,060
1670
+ y ุชูƒู…ู„ ุฅูƒุณุจูˆู†ูŠู† ูŠุจู‚ู‰
1671
+
1672
+ 498
1673
+ 00:59:06,060 --> 00:59:11,740
1674
+ Y ุชุฑุจูŠุน ุนู„ู‰ 2 ุชุฑูˆุญ ู…ุน 2 ูŠุจู‚ู‰ Y ุชุฑุจูŠุน ููŠ e^6
1675
+
1676
+ 499
1677
+ 00:59:11,740 --> 00:59:20,420
1678
+ ู†ุงู‚ุต e^6 ููŠ Y ุฒุงุฆุฏ constant ู„ู‡ function ููŠ ู…ูŠู†ุŸ ุจุนุฏ
1679
+
1680
+ 500
1681
+ 00:59:20,420 --> 00:59:26,280
1682
+ ุฐู„ูƒ ู†ูุถู‘ู„ ู‡ุฐู‡ ุงู„ุฏุงู„ุฉ ุจุงู„ู†ุณุจุฉ ู„ X ูˆู†ุณูˆูŠู‡ุง ุจุงู„ ู…ูŠู†ุŸ
1683
+
1684
+ 501
1685
+ 00:59:26,280 --> 00:59:31,360
1686
+ ุจุงู„ุฏุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ูŠุจู‚ู‰ ุจุฃุฌูŠ ุฃุฎุฐ partial of psi by
1687
+
1688
+ 502
1689
+ 00:59:31,360 --> 00:59:36,380
1690
+ partial X ูŠุณุงูˆูŠ ู‡ุฐู‡ ู…ุณุชู‚ู„ุฉ ุญุงุตู„ ุถุฑุจ ุฏุงู„ุชูŠู† ูˆุงู„ Y
1691
+
1692
+ 503
1693
+ 00:59:36,380 --> 00:59:46,160
1694
+ ู…ู‚ุฏุงุฑ ุซุงุจุช ูŠุจู‚ู‰ e^6 ููŠ Y ุฒุงุฆุฏ ุงู„ู‡ู…ู‘ูŠู† X e^6 ููŠ Y
1695
+
1696
+ 504
1697
+ 00:59:47,050 --> 00:59:52,090
1698
+ ุงู„ู„ูŠ ุจุนุฏู‡ุง ุจุฏู‡ ุฃุดุชู‚ู‘ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ู€ X ูŠุจู‚ู‰ Y ุชุฑุจูŠุน ููŠ
1699
+
1700
+ 505
1701
+ 00:59:52,090 --> 01:00:01,090
1702
+ e^x ุงู„ู„ูŠ ุจุนุฏู‡ุง ู†ุงู‚ุต e^x ููŠ Y ุฒุงุฆุฏ F prime of X
1703
+
1704
+ 506
1705
+ 01:00:01,730 --> 01:00:08,150
1706
+ ูŠุจู‚ู‰ e^6 ููŠ Y ูˆุณุงู„ุจ e^6 ููŠ Y ู…ุน ุงู„ุณู„ุงู…ุฉ ูŠุจู‚ู‰ ุขู„ุฉ
1707
+
1708
+ 507
1709
+ 01:00:08,150 --> 01:00:14,550
1710
+ ุงู„ู…ุณุฃู„ุฉ ุฅู„ู‰ partial of Psi by partial X ูŠุณุงูˆูŠ X e^6
1711
+
1712
+ 508
1713
+ 01:00:14,550 --> 01:00:23,390
1714
+ ููŠ Y ุฒุงุฆุฏ Y ุชุฑุจูŠุน ููŠ e^6 ุฒุงุฆุฏ F prime of X ุจู†ุณูˆู‘ูŠ ุงู„
1715
+
1716
+ 509
1717
+ 01:00:23,390 --> 01:00:27,590
1718
+ term ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ุจุงู„ term ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ุจู†ุญุตู„
1719
+
1720
+ 510
1721
+ 01:00:27,590 --> 01:00:34,790
1722
+ ุนู„ู‰ ุฅูŠุดุŸ ุนู„ู‰ ุฅู†ู‡ ุงู„ X ููŠ ุงู„ e^x ููŠ ุงู„ Y ุฒุงุฆุฏ Y
1723
+
1724
+ 511
1725
+ 01:00:34,790 --> 01:00:44,050
1726
+ ุชุฑุจูŠุน ููŠ ุงู„ e^x ุฒุงุฆุฏ F prime of X ูŠุณุงูˆูŠ XY e^x
1727
+
1728
+ 512
1729
+ 01:00:44,050 --> 01:00:55,400
1730
+ ุฒุงุฆุฏ Y ุชุฑุจูŠุน e^xy ุชุฑุจูŠุน e^x ู…ุน Y ุชุฑุจูŠุน e^x ู…ุน ุงู„ุณู„ุงู…ุฉ ูŠุจู‚ู‰ ู‚ุงู„ุฉ ุฅู„ู‰ F prime of X
1731
+
1732
+ 513
1733
+ 01:00:55,400 --> 01:01:02,440
1734
+ ูŠุณุงูˆูŠ ู‚ุฏุงุดุŸ 0 ู…ุนู†ุงู‡ ู‡ุฐุง ุงู„ูƒู„ุงู… ุฃู† ุงู„ F of X ุจุฏู‘ู‡
1735
+
1736
+ 514
1737
+ 01:01:02,440 --> 01:01:09,960
1738
+ ูŠุณุงูˆูŠ constant C1 ู„ุฐู„ูƒ ุจุฑูˆุญ ุจู‚ูˆู„ ู„ู‡ the solution
1739
+
1740
+ 515
1741
+ 01:01:18,550 --> 01:01:29,570
1742
+ of the differential equation one is epsilon of x,y
1743
+
1744
+ 516
1745
+ 01:01:29,570 --> 01:01:37,160
1746
+ ูŠุณุงูˆูŠ ูˆุฏู‡ ุงู„ epsilon ุงู„ู„ูŠ ุญุตู„ู†ุง ุนู„ูŠู‡ุง ู‡ูŠุจู‚ู‰
1747
+
1748
+ 517
1749
+ 01:01:37,160 --> 01:01:49,740
1750
+ ุงู„ูŠู…ูŠู† X e^x ููŠ ุงู„ Y ุฒุงุฆุฏ Y ุชุฑุจูŠุน ููŠ e^x ู†ุงู‚ุต e^
1751
+
1752
+ 518
1753
+ 01:01:49,740 --> 01:01:57,420
1754
+ xy ูˆู‡ุฐุง ุงู„ู…ู‚ุฏุงุฑ ุซุงุจุช ูŠุจู‚ู‰ ู‡ุฐุง ูƒู„ู‡ ุจูŠุณุงูˆูŠ ู…ู‚ุฏุงุฑ ุซุงุจุช
1755
+
1756
+ 519
1757
+ 01:01:57,420 --> 01:01:59,540
1758
+ ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง
1759
+
1760
+ 521
1761
+ 01:02:09,310 --> 01:02:15,070
1762
+ ู„ูƒ ุฎุงุทุฑ ุฃุนุทูŠูƒู… ูƒู…ุงู† ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ุจุฑุถู‡ ุณุคุงู„ ู…ู† ุงู„ูƒุชุงุจ
1763
+
1764
+ 522
1765
+ 01:02:37,670 --> 01:02:50,590
1766
+ example 2 ู‡ุฐุง
1767
+
1768
+ 523
1769
+ 01:02:50,590 --> 01:02:57,430
1770
+ ุณุคุงู„ 30 ู…ู† ุงู„ูƒุชุงุจ ุจูŠู‚ูˆู„ solve the differential
1771
+
1772
+ 524
1773
+ 01:02:57,430 --> 01:03:04,090
1774
+ equation ุงู„ู„ูŠ
1775
+
1776
+ 525
1777
+ 01:03:04,090 --> 01:03:18,640
1778
+ ู‡ูˆ 4x ุชูƒุนูŠุจ ุนู„ู‰ y ุชุฑุจูŠุน ุฒุงุฆุฏ 3 ุนู„ู‰ y ูƒู„ ู‡ุฐุง
1779
+
1780
+ 526
1781
+ 01:03:18,640 --> 01:03:32,520
1782
+ ุงู„ูƒู„ุงู… ููŠ dx ููŠ dx ุฒุงุฆุฏ 3 ููŠ x ุนู„ู‰ y ุชุฑุจูŠุน
1783
+
1784
+ 527
1785
+ 01:03:32,520 --> 01:03:49,970
1786
+ ุฒุงุฆุฏ 4y ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ููŠ dy ูŠุณุงูˆูŠ 0 ูŠุจู‚ู‰
1787
+
1788
+ 528
1789
+ 01:03:49,970 --> 01:03:55,210
1790
+ ุนู†ุฏูŠ ู…ุซู„ ู‡ุฐุง ุงู„ุณุคุงู„ 30 ุจุงู„ูƒุชุงุจ ุจูŠู‚ูˆู„ ู„ูŠ ุจุฏู†ุง ู†ุญู„
1791
+
1792
+ 529
1793
+ 01:03:55,210 --> 01:04:01,310
1794
+ ุงู„ู…ุซู„ุฉ ู‡ุฐู‡ ุจู‚ูˆู„ ู„ู‡ ุจุณูŠุทุฉ ูŠุจู‚ู‰ ุฒูŠ ู…ุง ุชุดุงู‡ุฏูŠู† ููŠู‡ุง ู‚ุตูˆุฑ
1795
+
1796
+ 530
1797
+ 01:04:01,310 --> 01:04:05,190
1798
+ ููŠุด ููŠ ุงู„ุจุณุท ูˆููŠ ุงู„ู…ู‚ุงู… ูŠุจู‚ู‰ ุฃู†ุง ู„ูˆ ุฎู„ูŠุชู‡ ูƒู„ู‡ ููŠ
1799
+
1800
+ 531
1801
+ 01:04:05,190 --> 01:04:10,930
1802
+ ุงู„ุจุณุท ุจูŠุตูŠุฑ ุณู‡ู„ ููŠ ุงู„ุญุณุงุจุงุช ูˆุฎุงุตุฉ ุนู†ุฏ ุงู„ุงุดุชู‚ุงู‚ ูŠุจู‚ู‰
1803
+
1804
+ 532
1805
+ 01:04:10,930 --> 01:04:15,270
1806
+ ูƒู„ ุญุงุฌุฉ ููŠ ุงู„ู…ู‚ุงู… ุจูŠุทู„ุนู‡ุง ููŠ ุงู„ุจุณุท ูˆุจุงู„ุชุงู„ูŠ ุงู„ุฃุณ
1807
+
1808
+ 533
1809
+ 01:04:15,270 --> 01:04:21,750
1810
+ ุชุจุนู‡ุง ุจูŠุตูŠุฑ ุจุฅุดุงุฑุฉ ู…ุฎุงู„ูุฉ ุฃูˆ ุจุฅุดุงุฑุฉ ุณุงู„ุจุฉ ูŠุจู‚ู‰ ู‡ู†ุง
1811
+
1812
+ 534
1813
+ 01:04:21,750 --> 01:04:28,660
1814
+ solution ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู‡ุฃูƒุชุจู‡ุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ 4
1815
+
1816
+ 535
1817
+ 01:04:28,660 --> 01:04:39,760
1818
+ X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚ุต 2 ุฒุงุฆุฏ 3 Y ุฃุณ ู†ุงู‚ุต 1
1819
+
1820
+ 536
1821
+ 01:04:39,760 --> 01:04:49,620
1822
+ ู‡ุฐุง ูƒู„ู‡ ููŠ ู…ู† ูƒู„ู‡ ููŠ dx ุฒุงุฆุฏ 3 X Y ุฃุณ ู†ุงู‚ุต 2
1823
+
1824
+ 537
1825
+ 01:04:49,620 --> 01:04:55,740
1826
+ ุฒุงุฆุฏ 4 Y dy ุฒุงุฆุฏ 4 Y dy ุฒุงุฆุฏ 4 Y dy
1827
+
1828
+ 538
1829
+ 01:04:55,740 --> 01:04:58,680
1830
+ ุฒุงุฆุฏ 4 Y dy ุฒุงุฆุฏ 4 Y dy
1831
+
1832
+ 539
1833
+ 01:05:15,960 --> 01:05:21,900
1834
+ ุทูŠุจ ุจู†ุจุญุซ ู‡ู„ ุงู„ู…ุซู„ ู‡ุฐู‡ exact ูˆู„ุง ู…ุงู‡ูŠู‘ุด exact ูŠุจู‚ู‰
1835
+
1836
+ 540
1837
+ 01:05:21,900 --> 01:05:24,580
1838
+ ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y
1839
+
1840
+ 541
1841
+ 01:05:34,530 --> 01:05:40,270
1842
+ ุชูุงุถู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y 4 X ุชูƒุนูŠุจ ู…ู‚ุฏุงุฑ ุซุงุจุช
1843
+
1844
+ 542
1845
+ 01:05:40,270 --> 01:05:47,010
1846
+ ุชูุงุถู„ Y ู†ุงู‚ุต 2 ุจู†ุงู‚ุต 2 ููŠ 4 ุจู†ุงู‚ุต
1847
+
1848
+ 543
1849
+ 01:05:47,010 --> 01:05:56,350
1850
+ 8 X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚ุต 3 ูˆู‡ุฐู‡ ูŠุง ุจู†ุงุช ู†ุงู‚ุต 3
1851
+
1852
+ 544
1853
+ 01:05:56,350 --> 01:06:02,830
1854
+ Y ุฃุณ ู†ุงู‚ุต 2 ู‡ุงูŠ ุฎู„ุตู†ุง ุชูุงุถู„ู‡ุง ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y
1855
+
1856
+ 545
1857
+ 01:06:02,830 --> 01:06:11,870
1858
+ ุจู†ุฃุฌูŠ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ X 3 Y ุฃุณ ู†ุงู‚ุต
1859
+
1860
+ 546
1861
+ 01:06:11,870 --> 01:06:19,320
1862
+ 2 ูˆู‡ุฐู‡ ุจู‚ุฏู‘ุงุดุŸ 0 ุงู„ู„ู‡ ุณู‡ู‘ู„ ุนู„ูŠู‡ุง ุทูŠุจ ุทู„ุน ููŠ
1863
+
1864
+ 547
1865
+ 01:06:19,320 --> 01:06:24,460
1866
+ ู‡ุฏูˆู„ ุงู„ู…ุนุงุฏู„ุงุช ุงู„ู„ูŠ ุนู†ุฏู†ุง ุจู‚ูˆู„ ูˆุงู„ู„ู‡ ุดูƒู„ู‡ู… ู…ุง ูŠุณุงูˆูˆุด
1867
+
1868
+ 548
1869
+ 01:06:24,460 --> 01:06:30,220
1870
+ ุจุนุถ ุตุญูŠุญ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠูƒ m ุฃู† ุชูุงุถู„ ุงู„ N
1871
+
1872
+ 549
1873
+ 01:06:30,220 --> 01:06:36,120
1874
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ู„ุง ูŠุณุงูˆูŠ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ m
1875
+
1876
+ 550
1877
+ 01:06:36,120 --> 01:06:42,380
1878
+ ุงู„ X ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏูŠ ุฃุนุทูŠูƒ ุฃู†ู‘ู‡ the differential
1879
+
1880
+ 551
1881
+ 01:06:42,980 --> 01:06:55,080
1882
+ Equation one is not exact ุฅุฐู† ุจุฏู†ุง ู†ุฏูˆุฑ ุนู„ู‰ ุงู„
1883
+
1884
+ 552
1885
+ 01:06:55,080 --> 01:07:01,290
1886
+ integrating factor ุฃุฌุฑุจ ุฃุทุฑุญ ุฌูŠู„ ูˆุฃุฌุณู… ุนู„ู‰ ู…ูŠู†ุŸ
1887
+
1888
+ 553
1889
+ 01:07:30,250 --> 01:07:34,790
1890
+ ูŠุจู‚ู‰ ุฃู†ุง ุฃุบู…ู‘ู‚ ุนูŠู†ูŠู‡ ูˆุฃุฎุฏุช ุนู† ุฌู†ู‘ุฉ ูˆุฃุดูˆู ุดูˆ ุงู„ู„ูŠ ุจุฏู‘ู‡
1891
+
1892
+ 554
1893
+ 01:07:34,790 --> 01:07:41,630
1894
+ ูŠุตูŠุฑ you serve partial m by partial y ู‡ูŠู‡ุง ุชู…ุงู… ุฒูŠ
1895
+
1896
+ 555
1897
+ 01:07:41,630 --> 01:07:50,010
1898
+ ู…ุง ู‡ูŠ ู†ุงู‚ุต 8 x ุชูƒุนูŠุจ y ุฃุณ ู†ุงู‚ุต 3 ู†ุงู‚ุต
1899
+
1900
+ 556
1901
+ 01:07:50,010 --> 01:07:53,150
1902
+ 3 y ุฃุณ ู†ุงู‚ุต 2
1903
+
1904
+ 557
1905
+ 01:07:58,580 --> 01:08:11,260
1906
+ ู†ุงู‚ุต 3 Y ุฃุณ ู†ุงู‚ุต 2 ูŠุจู‚ู‰
1907
+
1908
+ 558
1909
+ 01:08:11,260 --> 01:08:15,580
1910
+ 3 X Y ุฃุณ ู†ุงู‚ุต 2
1911
+
1912
+ 559
1913
+ 01:08:21,920 --> 01:08:27,560
1914
+ ูƒูˆูŠุณุŸ ุจุฃุฌูŠ ุจู‚ูˆู„ ู„ู‡ ู„ุฃ ุนู„ู‰ n ุฃู‡ ู…ุธุจูˆุท ูˆู‡ุฐู‡ ู†ุงู‚ุต ู„ู‡ุง
1915
+
1916
+ 560
1917
+ 01:08:27,560 --> 01:08:33,280
1918
+ ุตุญูŠุญ ูƒูˆูŠุณ ูŠุนู†ูŠ ู‡ุฐู‡ ุฅูŠุด ุจูŠุตูŠุฑุŸ ุจูŠุตูŠุฑ ูŠุง ุจู†ุงุช ู†ุงู‚ุต
1919
+
1920
+ 561
1921
+ 01:08:33,280 --> 01:08:43,740
1922
+ 8 x ุชูƒุนูŠุจ ูˆุงูŠ ุฃุณ ู†ุงู‚ุต 3 ู†ุงู‚ุต 6 ูˆุงูŠ ุฃุณ
1923
+
1924
+ 562
1925
+ 01:08:43,740 --> 01:08:53,020
1926
+ ู†ุงู‚ุต 2 ุนู„ู‰ 3 X ูˆุงูŠ ุฃุณ ู†ุงู‚ุต 2 ุฒุงุฆุฏ 4
1927
+
1928
+ 563
1929
+ 01:08:53,020 --> 01:08:57,540
1930
+ Y ุทูŠุจุŒ
1931
+
1932
+ 564
1933
+ 01:08:57,540 --> 01:09:01,310
1934
+ ุฅูŠุด ุฑุฃูŠูƒุŸ ููŠ ุนู…ู„ ู…ุดุชุฑูƒ ููŠ ุงู„ ุจุณุท ุฎู„ูŠู†ูŠ ุฃุทู„ู‘ุน
1935
+
1936
+ 565
1937
+ 01:09:01,310 --> 01:09:10,010
1938
+ ุงู„ู†ุงู‚ุต ุนุงู… ุงู„ู…ุดุชุฑูƒ ูˆ 2 ุนุงู… ุงู„ู…ุดุชุฑูƒ ูˆ Y ุฃุณ ู†ุงู‚ุต 2
1939
+
1940
+ 566
1941
+ 01:09:10,010 --> 01:09:20,210
1942
+ ุนุงู… ุงู„ู…ุดุชุฑูƒ ุตุญูŠุญุŸ ุจูŠุถู„ ูƒุฏู‡ุŸ ุจูŠุถู„ 4 X ุชูƒุนูŠุจ 4 X ุชูƒุนูŠุจ
1943
+
1944
+ 567
1945
+ 01:09:20,210 --> 01:09:31,190
1946
+ Y ุฃุณ ู†ุงู‚ุต 1 ูˆู‡ู†ุง ุฒุงุฆุฏ 3 ูู‚ุท ู„ุบูŠุฑ ุตุญูŠุญุŸ ุทูŠุจ ู†ุฃุฌูŠ
1947
+
1948
+ 568
1949
+ 01:09:31,190 --> 01:09:39,030
1950
+ ุนู„ู‰ ุงู„ู…ู‚ุงู… ุงู„ู…ู‚ุงู… ู…ู…ูƒู† ุฃุฎุฐ ุฅูŠุดุŸ Y ุจูŠุตูŠุฑ Y ุฃุณ ู†ุงู‚ุต
1951
+
1952
+ 569
1953
+ 01:09:39,030 --> 01:09:46,670
1954
+ ู†ุงู‚ุต ุจุฏูŠ ุฃุฎุฐ Y ุงู„ุณุงู„ุจ 1 ูŠุจู‚ู‰ Y ุงู„ุณุงู„ุจ 1
1955
+
1956
+ 570
1957
+ 01:09:46,670 --> 01:09:55,650
1958
+ ุนุงู…ู„ ู…ุดุชุฑูƒ ุจูŠุถู„ ุฃู† ุฃู†ุง ู‚ุฏู‘ุงุดุŸ ุจูŠุถู„ 3 X 3 X
1959
+
1960
+ 571
1961
+ 01:09:55,650 --> 01:10:02,850
1962
+ ูˆ Y ูˆุงู„ุณุงู„ุจ 1 ุฒุงุฆุฏ
1963
+
1964
+ 572
1965
+ 01:10:02,850 --> 01:10:07,070
1966
+ 4
1967
+
1968
+ 573
1969
+ 01:10:07,070 --> 01:10:14,430
1970
+ Y ุชุฑุจูŠุน ู„ูˆ ุชุถุฑุจ ููŠู‡ุง ุจูŠุตูŠุฑ ู‡ุฐู‡ ููŠ ุดุบู„ุฉ ููŠ ุจุณุท
1971
+
1972
+ 574
1973
+ 01:10:14,430 --> 01:10:23,320
1974
+ ุงู„ู…ู‚ุงู… ููŠ ุดุบู„ุฉ ู…ุดุชุฑูƒุฉ ู„ุฃ ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ุง ุฒุจุทุชุด ู…ุนูƒ
1975
+
1976
+ 575
1977
+ 01:10:23,320 --> 01:10:27,900
1978
+ ูŠุจู‚ู‰ ุฃู†ุง ุชุตุฑูุช ุจุนู‚ู„ูŠุชูƒ ุฃู†ุช ููŠ ุงู„ุงู…ุชุญุงู† ูˆ
1979
+
1980
+ 576
1981
+ 01:10:27,900 --> 01:10:30,700
1982
+ ุงู„ุบุงู„ุจูŠุชู†ุง ูŠุญูƒูˆุง ู…ุด ุฏู‚ูŠู‚ ููŠ ุงู„ู†ุธุฑ ููŠ ุงู„ุงู…ุชุญุงู†
1983
+
1984
+ 577
1985
+ 01:10:30,700 --> 01:10:36,060
1986
+ ู…ุฑุจูˆูƒ ูŠุจู‚ู‰ ู‡ุฐู‡ ู…ุง ุฒุจุทุชุด ุตุญูŠุญ ูˆู„ุง ู„ุงุŸ ุฃูŠูˆุฉ ุจุฏูŠ
1987
+
1988
+ 578
1989
+ 01:10:36,060 --> 01:10:40,780
1990
+ ุฃู‚ู„ู‘ุจู‡ุง ุจุฏูŠ ุฃู‚ู„ู‘ุจู‡ุง ูˆุฃุดูˆู ุฅูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ูŠุจู‚ู‰ ู„ูˆ
1991
+
1992
+ 579
1993
+ 01:10:40,780 --> 01:10:45,240
1994
+ ู‚ู„ู‘ุจุช ู‡ูŠ ุฅูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑุŸ ุจูŠุตูŠุฑ ูƒุงู„ุชุงู„ูŠ ูŠุจู‚ู‰ ู‡ุฐู‡
1995
+
1996
+ 580
1997
+ 01:10:45,240 --> 01:10:50,890
1998
+ ู…ุง ุฌุงุจุชูุด ู†ุชูŠุฌุฉ ูŠุง ุจู†ุงุช ุจุฏูŠ ุฃุฎุฐ ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ
1999
+
2000
+ 581
2001
+ 01:10:50,890 --> 01:10:58,470
2002
+ ุฅู„ู‰ X ู†ุงู‚ุต ุชูุงุถู„ ุงู„ M ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ูƒู„ู‡ ู…ู‚ุณูˆู…ู‹ุง ุนู„ู‰
2003
+
2004
+ 582
2005
+ 01:10:58,470 --> 01:11:02,910
2006
+ M ุฃู†ุง ู‚ุงุฏุฑ ุฃุฌูŠุจ ุนู„ูŠูƒ ุตุญ ู…ู† ุงู„ุฃูˆู„ ุจุณ ู…ุง ุจุฏู‘ูŠุด ู…ุง ุจุฏู‘ูŠ
2007
+
2008
+ 583
2009
+ 01:11:02,910 --> 01:11:06,530
2010
+ ุฃููƒู‘ุฑ ุจุนุฏูŠู† ูƒุฃู†ู‘ ู…ุดุงุฑุจุฉ ูƒุชูŠุฑุฉ ุงู„ู„ูŠ ุจู‚ู‰ ุณู‡ู„ุฉ ู…ุด ุณู‡ู„ุฉ
2011
+
2012
+ 584
2013
+ 01:11:06,530 --> 01:11:10,650
2014
+ ุฒูŠ ุงู„ู„ูŠ ู‚ุจู„ ูŠุจู‚ู‰ ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ X ุงู„ู„ูŠ ู‡ูŠ
2015
+
2016
+ 585
2017
+ 01:11:10,650 --> 01:11:16,310
2018
+ 3 Y ุฃุณ ู†ุงู‚ุต 2 ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ู€ Y
2019
+
2020
+ 586
2021
+ 01:11:16,310 --> 01:11:22,910
2022
+ ุงู„ู†ุงู‚ุต ุจูŠุตูŠุฑ ูƒู„ู‡ ุฒุงุฆุฏ ูŠุจู‚ู‰ ุฒุงุฆุฏ 8 X ุชูƒุนูŠุจ Y
2023
+
2024
+ 587
2025
+ 01:11:22,910 --> 01:11:32,350
2026
+ ุฃุณ ู†ุงู‚ุต 2 ุฒุงุฆุฏ Y ุฃุณ ู†ุงู‚ุต 3 Y ุฃุณ ู†ุงู‚ุต 3
2027
+
2028
+ 588
2029
+ 01:11:32,350 --> 01:11:40,450
2030
+ ุฒุงุฆุฏ 3 Y ุฃุณ ู†ุงู‚ุต 2 ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู„ู‰ ู…ูŠู†ุŸ
2031
+
2032
+ 589
2033
+ 01:11:40,450 --> 01:11:49,830
2034
+ ุนู„ู‰ M ุงู„ M ูˆูŠู† ุงู„ MุŸ ุงู„ู„ูŠ ู‡ูˆ 4 X ุชูƒุนูŠุจ ูˆุฑุงู‡ 4
2035
+
2036
+ 590
2037
+ 01:11:49,830 --> 01:11:56,970
2038
+ X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚ุต 2 ุฒุงุฆุฏ 3 Y ุฃุณ ู†ุงู‚ุต 1
2039
+
2040
+ 591
2041
+ 01:11:58,700 --> 01:12:06,920
2042
+ ุทูŠุจ ู‡ุฐู‡ 3 ูˆ 3 6 ูŠุง ุจู†ุงุช ูŠุจู‚ู‰ ู‡ุงูŠ
2043
+
2044
+ 592
2045
+ 01:12:06,920 --> 01:12:14,220
2046
+ 8 X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚๏ฟฝ๏ฟฝ 3 ุฒุงุฆุฏ 6 Y ุฃุณ ู†ุงู‚ุต
2047
+
2048
+ 593
2049
+ 01:12:14,220 --> 01:12:23,060
2050
+ 2 ุนู„ู‰ 4 X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚ุต 2 ุฒุงุฆุฏ 3 Y
2051
+
2052
+ 594
2053
+ 01:12:23,060 --> 01:12:29,530
2054
+ ุฃุณ ู†ุงู‚ุต 1 Y ุงู„ุณุงูˆูŠ ูŠุจู‚ู‰ ุงู„ 2 ุนุงู…ู„ ู…ุดุชุฑูƒ ูˆ Y
2055
+
2056
+ 595
2057
+ 01:12:29,530 --> 01:12:34,750
2058
+ ุฃุณ ู†ุงู‚ุต 2 ู†ูุณ ุงู„ู…ุนุงู…ู„ ุงู„ู„ูŠ ูƒุงู† ู‡ู†ุงูƒ ุจุฅุดุงุฑุฉ ุณุงู„ุจุฉ
2059
+
2060
+ 596
2061
+ 01:12:34,750 --> 01:12:44,370
2062
+ ุชู…ุงู… ุจูŠุถู„ ู‚ุฏู‘ุงุด ุนู†ุฏูŠุŸ 4 X ุชูƒุนูŠุจ ูˆ Y ุฃุณ ุณุงู„ุจ 1 Y ุฃุณ
2063
+
2064
+ 597
2065
+ 01:12:44,370 --> 01:12:53,670
2066
+ ุณุงู„ุจ 1 ุฒุงุฆุฏ 3 ูู‚ุท ู„ุบูŠุฑ ุนู„ู‰ ุงู„ู…ู‚ุงู… Y ุฃุณ ู†ุงู‚ุต
2067
+
2068
+ 598
2069
+ 01:12:53,670 --> 01:13:00,050
2070
+ 1 ุนุงู… ุงู„ู…ุดุชุฑูƒ ุจูŠุถู„ 4 X ุชูƒุนูŠุจ Y ุฃุณ ู†ุงู‚ุต 1
2071
+
2072
+ 599
2073
+ 01:13:
2074
+
2075
+ 646
2076
+ 01:19:29,630 --> 01:19:35,710
2077
+ ุงู†ุชู‡ู‰ ุงู„ุดุทุฑ ู„ูƒู† ุงุญู†ุง ู…ุง ุงู†ุชู‡ูŠู†ุง ููŠ ุนู†ุฏูƒ ุชู…ุงุฑูŠู†
2078
+
2079
+ 647
2080
+ 01:19:35,710 --> 01:19:40,670
2081
+ ุนุงู…ุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ุดุทุฑ ุฎู„ุงู„ ู‡ุฐู‡ ุงู„ุชู…ุงุฑูŠู† ุงู„ุนุงู…ุฉ
2082
+
2083
+ 648
2084
+ 01:19:40,670 --> 01:19:45,160
2085
+ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุงูˆู„ู‰ ู…ุจุงุดุฑุฉ ุนู„ู‰ ูƒู„ ู…ุง ุฏุฑุณู†ุงู‡ ู„ูƒู† ุญุทู„ูŠ
2086
+
2087
+ 649
2088
+ 01:19:45,160 --> 01:19:51,440
2089
+ ูƒู…ุงู† ุชู„ุช ุดุบู„ุงุช ุฌุฏูŠุฏุฉ ุชู‚ูˆู„ูˆุง ูƒู„ู‡ุง ุฅู„ู‰ linear ุฃูˆ
2090
+
2091
+ 650
2092
+ 01:19:51,440 --> 01:19:55,900
2093
+ exact ุฃูˆ homogeneous ุฃูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ููŠ ุนู†ุฏู†ุง ู…ุนุงุฏู„ุฉ
2094
+
2095
+ 651
2096
+ 01:19:55,900 --> 01:19:59,540
2097
+ ุงุณู…ู‡ุง ู…ุนุงุฏู„ุฉ Riccati equation
2098
+
2099
+ 652
2100
+ 01:20:02,170 --> 01:20:10,350
2101
+ ู‡ุฐุง ุญุทู‡ ููŠ ุงู„ูƒุชุงุจ ูŠุจู‚ู‰ exercises page ุตูุญุฉ ุงู„ู„ูŠ ู‡ูˆ
2102
+
2103
+ 653
2104
+ 01:20:10,350 --> 01:20:15,690
2105
+ ู…ูŠุฉ ูˆ ูˆุงุญุฏ ูˆ ุชู„ุงุชูŠู† ู„ุบุงูŠุฉ ู…ูŠุฉ ูˆ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชูŠู†
2106
+
2107
+ 654
2108
+ 01:20:15,690 --> 01:20:21,290
2109
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชู…ุงุฑูŠู† ุงู„ุนุงู…ุฉ ุนู„ู‰ ู‡ุฐุง ุงู„ุดุทุฑ ุญุท ููŠู‡ุง ุณุคุงู„
2110
+
2111
+ 655
2112
+ 01:20:21,290 --> 01:20:31,150
2113
+ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชูŠู† ุงู„ู„ูŠ ู‡ูˆ ุฑูŠูƒุงุชูŠ ุฑูŠูƒุงุชูŠ
2114
+
2115
+ 656
2116
+ 01:20:32,000 --> 01:20:41,980
2117
+ Riccati Equation ุงูŠู‡ ุดุฑูƒุฉ equation ู‡ู†ุง it is an equation
2118
+
2119
+ 657
2120
+ 01:20:41,980 --> 01:20:45,780
2121
+ in
2122
+
2123
+ 658
2124
+ 01:20:45,780 --> 01:20:50,520
2125
+ the form ุงู„ุดูƒู„
2126
+
2127
+ 659
2128
+ 01:20:50,520 --> 01:21:02,090
2129
+ ุงู„ุชุงู„ูŠ dy ุนู„ู‰ dt ูŠุณุงูˆูŠ q1 of t ุฒุงุฆุฏ q2 of t ููŠ ุงู„ y
2130
+
2131
+ 660
2132
+ 01:21:02,090 --> 01:21:10,290
2133
+ ุฒุงุฆุฏ q3 of t ููŠ ู…ู† ููŠ ุงู„ y ุชุฑุจูŠุน ูˆู‡ุฐู‡ ุณู…ูŠู‡ุง
2134
+
2135
+ 661
2136
+ 01:21:10,290 --> 01:21:12,410
2137
+ ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… 1
2138
+
2139
+ 662
2140
+ 01:21:47,480 --> 01:21:52,940
2141
+ ุทูŠุจ ู„ูˆ ุฃู†ุง ุฃุทู„ุน ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุจู‚ูˆู„ ู„ู… ูŠุณุจู‚ ู„ู†ุง
2142
+
2143
+ 663
2144
+ 01:21:52,940 --> 01:21:58,260
2145
+ ุฃู† ุฑุฃูŠู†ุง ููŠ ู‡ุฐุง ุงู„ุดุทุฑ ู…ุนุงุฏู„ุฉ ุฒูŠ ู‡ูŠูƒ ุฏุงู„ุฉ ููŠ tุŒ
2146
+
2147
+ 664
2148
+ 01:21:58,260 --> 01:22:02,260
2149
+ ุฏุงู„ุฉ ููŠ t ููŠ yุŒ ุฏุงู„ุฉ ููŠ t ููŠ ู…ู†ุŸ ููŠ ุงู„ y ุชุฑุจูŠุนุŒ
2150
+
2151
+ 665
2152
+ 01:22:02,260 --> 01:22:07,560
2153
+ ู„ูƒู† ู„ูˆ ุดูŠู„ุช ู‡ุฐู‡ ู‚ู„ุช ุงู‡ ูˆุงู„ู„ู‡ ู‡ุฐู‡ ู…ุฑุฉ ุนุงู„ูŠุฉุŒ ู‡ุฐู‡
2154
+
2155
+ 666
2156
+ 01:22:07,560 --> 01:22:13,480
2157
+ Bernoulli equation ุตุญ ูˆู„ุง ู„ุงุŸ ู„ูˆ ุดูŠู„ุช ู‡ุฐู‡ ุจู‚ูˆู„ ุงู‡
2158
+
2159
+ 667
2160
+ 01:22:13,480 --> 01:22:17,160
2161
+ ูˆุงู„ู„ู‡ ู‡ุฐู‡ ุงู„ linear equation ู„ูƒู† ู„ุง ุงุฎู„ู‡ุง ู„ุจุฑู†ูˆู„ูŠ
2162
+
2163
+ 668
2164
+ 01:22:17,160 --> 01:22:22,580
2165
+ ุนู„ู‰ ุดุฌุฉ ูˆู„ุง ุงุฎู„ู‡ุง ู„ู…ูŠู† linear ุนู„ู‰ ุดุฌุฉ ุงุฐุง ุจุฏู†ุง
2166
+
2167
+ 669
2168
+ 01:22:22,580 --> 01:22:28,220
2169
+ ู†ุดูˆู ูƒูŠู ุจุฏู†ุง ู†ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู…ู† ู‡ุฐุง ุงู„ู‚ุจูŠู„ ูู‡ูˆ
2170
+
2171
+ 670
2172
+ 01:22:28,220 --> 01:22:31,340
2173
+ ุจูŠุนุทูŠู†ูŠ ุฏุงุฆู…ุง ู…ู† ุงู„ู…ุณุงุฆู„ ู…ู† ู‡ุฐุง ุงู„ู‚ุจูŠู„ ุจูŠุนุทูŠู†ูŠ ุญู„
2174
+
2175
+ 671
2176
+ 01:22:31,340 --> 01:22:36,940
2177
+ ุฎุงุต ูˆ ุจุทู„ุจ ู…ู†ูŠ ุฅูŠุฌุงุฏ ุงู„ general solution ูุจู‚ูˆู„
2178
+
2179
+ 672
2180
+ 01:22:36,940 --> 01:22:51,220
2181
+ ุงู„ุขู† ู…ุง ูŠุฃุชูŠ y1 ู‡ูˆ ุนุจุงุฑุฉ
2182
+
2183
+ 673
2184
+ 01:22:51,220 --> 01:22:58,740
2185
+ ุนู† ุญู„ ุฎุงุต particular solution of the differential
2186
+
2187
+ 674
2188
+ 01:22:58,740 --> 01:23:07,300
2189
+ equation one then the general solution
2190
+
2191
+ 675
2192
+ 01:23:10,400 --> 01:23:19,580
2193
+ general solution the general solution of the
2194
+
2195
+ 676
2196
+ 01:23:19,580 --> 01:23:31,860
2197
+ differential equation one is y ุชุณุงูˆูŠ y one ุฒุงุฆุฏ
2198
+
2199
+ 677
2200
+ 01:23:31,860 --> 01:23:37,640
2201
+ ูˆุงุญุฏ ุนู„ู‰ v of t where
2202
+
2203
+ 678
2204
+ 01:23:39,860 --> 01:23:53,600
2205
+ ุญูŠุซ ุงู„ู€ v of t is a function that we
2206
+
2207
+ 679
2208
+ 01:23:53,600 --> 01:24:01,100
2209
+ can find it as
2210
+
2211
+ 680
2212
+ 01:24:01,100 --> 01:24:01,580
2213
+ follows
2214
+
2215
+ 681
2216
+ 01:24:19,950 --> 01:24:24,690
2217
+ ู…ุฑุฉ ุชุงู†ูŠุฉ Riccati equation ู‡ูŠ ู…ุนุงุฏู„ุฉ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ู„ูŠ
2218
+
2219
+ 682
2220
+ 01:24:24,690 --> 01:24:30,870
2221
+ ู‚ุฏุงู…ู†ุง ู‡ุฐุง ุชู…ุงู… ุงู„ุขู† ุจุฏู†ุง ู†ุจุญุซ ุนู† ุงู„ุญู„ ุงู„ุนุงู… ู„ู‡ุฐู‡
2222
+
2223
+ 683
2224
+ 01:24:30,870 --> 01:24:36,030
2225
+ ุงู„ู…ุนุงุฏู„ุฉ ู…ุดุงู† ู†ูˆุฌุฏ ุงู„ุญู„ ุงู„ุนุงู… ู„ุงุฒู… ูŠุนุทูŠู†ูŠ ุญู„ ุฎุงุต
2226
+
2227
+ 684
2228
+ 01:24:36,030 --> 01:24:40,670
2229
+ ู„ู‡ุง ูˆู…ู† ุฎู„ุงู„ ุงู„ุญู„ ุงู„ุฎุงุต ุจู‚ุฏุฑ ุฃุฑูˆุญ ุฃุฌูŠุจ ุงู„ุญู„ ุงู„ุนุงู…
2230
+
2231
+ 685
2232
+ 01:24:40,670 --> 01:24:46,310
2233
+ ู„ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ูุจู‚ูˆู„ fy1 ุฃูŠุถุง ุญู„ ุฎุงุต ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ
2234
+
2235
+ 686
2236
+ 01:24:46,310 --> 01:24:53,080
2237
+ ุนู†ุฏู†ุง ู‡ุฐู‡ ุซู… ุญู„ ุงู„ุนุงู… ู„ู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ ู‡ูˆ y
2238
+
2239
+ 687
2240
+ 01:24:53,080 --> 01:25:00,120
2241
+ ูŠุณุงูˆูŠ y1 ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v of t ู…ู† ู‡ูŠ ุงู„ v of t ู‡ูŠ
2242
+
2243
+ 688
2244
+ 01:25:00,120 --> 01:25:04,780
2245
+ ุนุจุงุฑุฉ ุนู† ุงู„ .. ุจุฏู†ุง ู†ุญุงูˆู„ ู†ูˆุฌูŠ ุฏู‡ ูƒุชู„ ูŠุนู†ูŠ ุฃู†ุง
2246
+
2247
+ 689
2248
+ 01:25:04,780 --> 01:25:11,120
2249
+ ู„ุงุฒู… ุฃุฑูˆุญ ุฃุนุฑู ู…ุง ู‡ูˆ ุดูƒู„ ุงู„ v of t ุจู‚ูˆู„ู‡ ูƒูˆูŠุณ ุงุญู†ุง
2250
+
2251
+ 690
2252
+ 01:25:11,120 --> 01:25:23,500
2253
+ ุงู„ุขู† since y1 is a solution of equation 1 we have
2254
+
2255
+ 691
2256
+ 01:25:24,830 --> 01:25:29,530
2257
+ ู…ุฏุงู… ู‡ุฐุง ุงู„ุญู„ ุฅุฐุง ู‡ูŠุญู‚ู‚ ุงู„ู…ุนุงุฏู„ุฉ ุตุญูŠุญ ูˆู„ุง ู„ุง ูŠุจู‚ุงุด
2258
+
2259
+ 692
2260
+ 01:25:29,530 --> 01:25:41,170
2261
+ ุจูŠุตูŠุฑ dy1 ุนู„ู‰ dt ุจุฏู‡ ูŠุณุงูˆูŠ q1 of t ุฒุงุฆุฏ q2 of t ููŠ
2262
+
2263
+ 693
2264
+ 01:25:41,170 --> 01:25:51,670
2265
+ ุงู„ y1 ุฒุงุฆุฏ q3 of t ููŠ ุงู„ y1 ุชุฑุจูŠุน
2266
+
2267
+ 694
2268
+ 01:25:51,670 --> 01:26:04,950
2269
+ ุทูŠุจ ูƒูˆูŠุณ ุจู†ุฑุฌุญ ุงุญู†ุงุงู„ู€ y ุจูŠูƒูˆู† y1 ุฒุงุฆุฏ 1 ุนู„ู‰ v of
2270
+
2271
+ 695
2272
+ 01:26:04,950 --> 01:26:11,470
2273
+ t ู‡ุฐุง ูŠุนุทูŠู†ุง ุญู„ ุนุงู… ู„ู…ูŠู† ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‚ู„ู†ุง ุนู†ู‡ุง
2274
+
2275
+ 696
2276
+ 01:26:11,470 --> 01:26:17,210
2277
+ ุฅุฐุง ุชุนุงู„ู‰ ู†ุดุชู‚ ู‡ุฐู‡ ูˆู†ุดูˆู ุงูŠุด ุจุชุนุทูŠู†ุง ูŠุจู‚ู‰ ู„ูˆ ุฌูŠู†ุง
2278
+
2279
+ 697
2280
+ 01:26:17,210 --> 01:26:22,650
2281
+ ุงุดุชู‚ู†ุงู‡ุง ุจุงุฌูŠ ุจู‚ูˆู„ ูŠุจู‚ู‰ dy ุนู„ู‰ dt ุจูŠูƒูˆู†
2282
+
2283
+ 698
2284
+ 01:26:25,330 --> 01:26:33,770
2285
+ dy1 ุนู„ู‰ dt ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ dv ุนู„ู‰ dt ุชุฑุจูŠุน
2286
+
2287
+ 699
2288
+ 01:26:33,770 --> 01:26:40,170
2289
+ ูŠุนู†ูŠ ูˆุงุญุฏ ุนู„ู‰ v ู…ุด ุชู‚ุทุน ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ dv ุนู„ู‰
2290
+
2291
+ 700
2292
+ 01:26:40,170 --> 01:26:44,970
2293
+ dt ุงู„ุงู† ุจุฏุฃ ุงู…ุณูƒ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู„ูŠ ุนู†ุฏูŠ ูˆุงุฑุฌุน ุงุนูˆุถ
2294
+
2295
+ 701
2296
+ 01:26:44,970 --> 01:26:50,550
2297
+ ูˆูŠู† ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ ูŠุจู‚ู‰ ุจุงุฌูŠ ุจู‚ูˆู„ู‡ ู‡ู†ุง ุงู„
2298
+
2299
+ 702
2300
+ 01:26:50,550 --> 01:27:02,000
2301
+ substituting in equation one we get ู†ุญุตู„ ุนู„ุงู…ุงุช ุจุฏูŠ
2302
+
2303
+ 703
2304
+ 01:27:02,000 --> 01:27:06,720
2305
+ ุงุดูŠู„ dy ุนู„ู‰ dt ูˆุงุญุท ู‚ูŠู…ุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุทุฑู ุงู„ุดู…ุงู„
2306
+
2307
+ 704
2308
+ 01:27:06,720 --> 01:27:17,520
2309
+ ูŠุจู‚ู‰ dy ุนู„ู‰ dt ุดูˆ ุจุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ dy one ุนู„ู‰ dt ู†ุงู‚ุต
2310
+
2311
+ 705
2312
+ 01:27:17,520 --> 01:27:25,350
2313
+ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ dv ุนู„ู‰ dt ุจุฏูŠ ุฃุณุงูˆู‰ ุงู„ุทุฑู ุงู„ูŠู…ูŠู†
2314
+
2315
+ 706
2316
+ 01:27:25,350 --> 01:27:35,870
2317
+ q1 of t ุฎู„ูŠูƒ ุฒูŠ ู…ุง ุงู†ุช ุฒุงุฆุฏ q2 of t ููŠ ู…ูŠู† ููŠ y
2318
+
2319
+ 707
2320
+ 01:27:35,870 --> 01:27:41,790
2321
+ ุจุฏูŠ ุฃุดูŠู„ ุงู„ y ูˆ ุฃุญุท ู‚ูŠู…ุชู‡ุง ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ y1 ุฒุงุฆุฏ 1
2322
+
2323
+ 708
2324
+ 01:27:41,790 --> 01:27:50,800
2325
+ ุนู„ู‰ v ูŠุจู‚ู‰ ู‡ุฐู‡ y1 ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ุงุฎุชุตุงุฑุง ุจุฏู„ ู…ุง
2326
+
2327
+ 709
2328
+ 01:27:50,800 --> 01:27:57,760
2329
+ ุฃู‚ูˆู„ v of t ุงูู‡ู… ุงู†ู‡ุง v of t ูŠุจู‚ู‰ ุดูŠู„ู†ุง y ูˆุญุทูŠู†ุง
2330
+
2331
+ 710
2332
+ 01:27:57,760 --> 01:28:00,940
2333
+ ูˆุงุจุฏุงู„ู‡ุง y1 ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v
2334
+
2335
+ 711
2336
+ 01:28:13,240 --> 01:28:20,710
2337
+ ูŠุจู‚ู‰ ุฃุตุจุญุช ุงู„ู…ุณุฃู„ุฉ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุทู„ุน ูŠุง ุจู†ุงุชูŠ ุดูˆ
2338
+
2339
+ 712
2340
+ 01:28:20,710 --> 01:28:30,890
2341
+ ุจุฏู‡ ูŠุตูŠุฑ ุฏู‡ ูŠุตูŠุฑ ุนู†ุฏูŠ dy1 ุนู„ู‰ dt ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ v
2342
+
2343
+ 713
2344
+ 01:28:30,890 --> 01:28:38,470
2345
+ ุชุฑุจูŠุน ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ ุงู„ dv ุนู„ู‰ dt ูŠุณุงูˆูŠ
2346
+
2347
+ 714
2348
+ 01:28:38,470 --> 01:28:44,930
2349
+ ู‡ุง ุจุฏู‡ ุงููƒ ุงู„ุฃู‚ูˆุงุณ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ูŠุจู‚ู‰ q1 of t
2350
+
2351
+ 715
2352
+ 01:28:44,930 --> 01:28:57,080
2353
+ ุฒุงุฆุฏ q2 of t ููŠ ุงู„ู€ y1 q2 of t ููŠ ุงู„ู€ y1 ุฒุงุฆุฏ q2 of
2354
+
2355
+ 716
2356
+ 01:28:57,080 --> 01:29:07,100
2357
+ t ููŠ 1 ุนู„ู‰ v ุฃูˆ ุฑุงูŠุญุฉ ุฎู„ุงุต q2 of t ุนู„ู‰ v ู…ุจุงุดุฑุฉ
2358
+
2359
+ 717
2360
+ 01:29:07,100 --> 01:29:18,500
2361
+ ู„ุณู‡ูˆู„ุฉ q2 ุฒุงุฆุฏ q3 of t ุจุฏุง ููƒู‡ุง ุฏู‡ ูŠุง ุจู†ุงุช ุจุตูŠุฑ y
2362
+
2363
+ 718
2364
+ 01:29:18,500 --> 01:29:27,380
2365
+ ูˆุงุญุฏ ุชุฑุจูŠุน ุฒุงุฆุฏ q three of t ุงุชู†ูŠู† ุญุงุตู„ ุถุฑุจ
2366
+
2367
+ 719
2368
+ 01:29:27,380 --> 01:29:34,600
2369
+ ุงู„ูƒูŠู…ูŠุชูŠู† ูŠุจู‚ู‰ ู‡ุงูŠ ุงู„ุงุชู†ูŠู† ููŠ y one ุนู„ู‰ v ููŠ y one
2370
+
2371
+ 720
2372
+ 01:29:34,600 --> 01:29:37,440
2373
+ ุนู„ู‰ v ุฒุงุฆุฏ
2374
+
2375
+ 721
2376
+ 01:29:47,690 --> 01:30:00,860
2377
+ ูˆู‡ุฐุง ุงู„ูƒู„ุงู… ูŠุณุงูˆูŠ q1 of t ุฒุงุฆุฏ q2 of t ููŠ y1 ุฒุงุฆุฏ ู„
2378
+
2379
+ 722
2380
+ 01:30:00,860 --> 01:30:07,900
2381
+ q3 of t ููŠ ุงู„ y1 ุชุฑุจูŠุน ูŠุจู‚ู‰ ุฎู„ุงุต ุงู„ term ู‡ุฐุง ูˆ ุงู„
2382
+
2383
+ 723
2384
+ 01:30:07,900 --> 01:30:12,900
2385
+ term ู‡ุฐุง ูˆ ุงู„ term ู‡ุฐุง ู‡ุฐุง ููŠ ูˆุงุญุฏ ุนู„ู‰ v ูˆ ู‡ุฐุง ููŠ
2386
+
2387
+ 724
2388
+ 01:30:12,900 --> 01:30:19,800
2389
+ ูˆุงุญุฏ ุนู„ู‰ v ุฅุฐุง ุจู‚ุฏุฑ ุฃุฎุฏ ูˆุงุญุฏ ุนู„ู‰ v ุนุงู…ู„ ู…ุดุชุฑูƒ ุจุธู„
2390
+
2391
+ 725
2392
+ 01:30:19,800 --> 01:30:31,680
2393
+ ู„ q2 of t ุฒุงุฆุฏ 2 ู„ q3 of t ููŠ ุงู„ y1 ุฎู„ุตู†ุง ู…ู†ู‡ู… ุฒุงุฆุฏ
2394
+
2395
+ 726
2396
+ 01:30:31,680 --> 01:30:38,580
2397
+ q3 of t ุนู„ู‰ main ุนู„ู‰ v ุชุฑุจูŠุน ุงูŠุด ุฑุงูŠูƒูˆุง ู‡ุฐู‡ ูŠุง
2398
+
2399
+ 727
2400
+ 01:30:38,580 --> 01:30:50,100
2401
+ ุจู†ุงุชุŸ ู…ุด ู‡ูŠ dy1 ุนู„ู‰ dt ุตุญุŸ ู‡ูŠ dy1 ูˆุฑุงู‡ุง ุชุงูŠ dy1
2402
+
2403
+ 728
2404
+ 01:30:50,100 --> 01:30:57,990
2405
+ ุนู„ู‰ dt ู‡ุฐู‡ ุงู‡ ุตุญุŸ ุณูƒุช ุงู„ู†ุงุณ ู‡ูˆุŒ ู…ุธุจูˆุทุŸ ูŠุจู‚ู‰ ู‡ุฐู‡ ู‡ูŠ
2406
+
2407
+ 729
2408
+ 01:30:57,990 --> 01:31:03,690
2409
+ ู‡ุฐู‡ ูŠุจู‚ู‰ ู„ูˆ ุฌุจุชู‡ุง ุนู†ุฏู‡ุง ูƒู„ู‡ุง ู‡ุชุฑูˆุญ ู…ุน ู‡ุฐู‡ ุงูŠุด ุจุธู„
2410
+
2411
+ 730
2412
+ 01:31:03,690 --> 01:31:11,790
2413
+ ุนู†ุฏูŠ ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ dv ุนู„ู‰ dt ุจุฏูŠ ุฃุณุงูˆูŠ
2414
+
2415
+ 731
2416
+ 01:31:11,790 --> 01:31:23,210
2417
+ ูˆุงุญุฏ ุนู„ู‰ v ููŠ q2 of t ุฒุงุฆุฏ 2 q3 of t ููŠ y1 ุฒุงุฆุฏ q
2418
+
2419
+ 732
2420
+ 01:31:23,210 --> 01:31:30,270
2421
+ ุซู„ุงุซุฉ of t ุนู„ู‰ v ุชุฑุจูŠุน ุทูŠุจ ุงูŠุด ุฑุงูŠูƒุŸ ุจุฏูŠ ุฃุถุนู‡ ูƒู„ู‡
2422
+
2423
+ 733
2424
+ 01:31:30,270 --> 01:31:39,950
2425
+ ููŠ ุณุงู„ุจ v ุชุฑุจูŠุน ุฏูŠ ู…ุงุดูŠ ุจุถู„ ุนู†ุฏ ู‡ู†ุง dv ุนู„ู‰ dt ุจุฏู‡
2426
+
2427
+ 734
2428
+ 01:31:39,950 --> 01:31:49,310
2429
+ ูŠุณุงูˆูŠ ุณุงู„ุจ q ุงุชู†ูŠู† of t ุฒุงุฆุฏ ุงุชู†ูŠู† q ุชู„ุงุชุฉ of t
2430
+
2431
+ 735
2432
+ 01:31:49,720 --> 01:31:59,900
2433
+ ููŠ ุงู„ y1 ู‡ุฐุง ูƒู„ู‡ ููŠ ุงู„ v ุชู…ุงู… ู‡ู†ุง ุถุฑุจู†ุง ููŠ ุณุงู„ุจ v
2434
+
2435
+ 736
2436
+ 01:31:59,900 --> 01:32:07,180
2437
+ ุชุฑุจูŠุน ูŠุจู‚ู‰ ุณุงู„ุจ q ุซู„ุงุซุฉ of v ุทุจ ุจุฏูŠ ุฃุฌูŠุจ ู‡ุฐุง ุนู„ู‰
2438
+
2439
+ 737
2440
+ 01:32:07,180 --> 01:32:16,000
2441
+ ุงู„ุดุฌุฉ ุงู„ุชุงู†ูŠุฉ dv ุนู„ู‰ dt ุฒุงุฆุฏ q ุซู„ุงุซุฉ of t ุฒุงุฆุฏ
2442
+
2443
+ 738
2444
+ 01:32:16,000 --> 01:32:22,930
2445
+ ุงุชู†ูŠู† q ุซู„ุงุซุฉ of t ููŠ ุงู„ y1 ููŠ ุงู„ v ูŠุณุงูˆูŠ ุงู„ู†ุงู‚ุต q
2446
+
2447
+ 739
2448
+ 01:32:22,930 --> 01:32:32,170
2449
+ ุซู„ุงุซุฉ of t ู…ุฑุฉ ุนู„ูŠู†ุง ู‚ุจู„ ู‡ูƒ ุฏุงู„ุฉ ุฒูŠ ู‡ูƒ v prime
2450
+
2451
+ 740
2452
+ 01:32:32,170 --> 01:32:39,230
2453
+ ุฒุงุฆุฏ p of t ููŠ y ุจุชุณุงูˆูŠ g of t ุงู„ู„ูŠ ู‡ู…ูŠู† linear
2454
+
2455
+ 741
2456
+ 01:32:39,230 --> 01:32:42,570
2457
+ ูŠุจู‚ู‰ ุญูˆู„ุช ู…ุซู„ุง Riccati equation ุฅู„ู‰ linear
2458
+
2459
+ 742
2460
+ 01:32:42,570 --> 01:32:52,260
2461
+ equation ุจู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ูŠุจู‚ู‰ ู‡ู†ุง linear first order
2462
+
2463
+ 743
2464
+ 01:32:52,260 --> 01:33:06,220
2465
+ differential equation that can be solved as before
2466
+
2467
+ 744
2468
+ 01:33:06,220 --> 01:33:15,940
2469
+ ูŠุจู‚ู‰ ุจู‚ุฏุฑ ุฃุญู„ู‡ุง ุฒูŠ ู‚ุจู„ to get ุนุดุงู† ู†ุญุตู„ ุนู„ู‰ v of t
2470
+
2471
+ 745
2472
+ 01:33:15,940 --> 01:33:21,480
2473
+ ูˆุจุงู„ุชุงู„ูŠ ุจุชุฌุจุฑ ุฎู„ุตุช ุงูŠู‡ุŸ ุฎู„ุตุช ู…ุณุฃู„ุชู†ุง ุทุจ ู†ุนุทูŠูƒูˆุง
2474
+
2475
+ 746
2476
+ 01:33:21,480 --> 01:33:27,780
2477
+ ู…ุซุงู„ ุชูˆุถูŠุญูŠ ููŠ ุนู†ุฏูƒูˆุง ุณุคุงู„ูŠู† ููŠ ุงู„ูƒุชุงุจุŒ ูุฏู‡ ูŠุนุทูŠูƒูˆุง
2478
+
2479
+ 747
2480
+ 01:33:27,780 --> 01:33:31,600
2481
+ ุฃุญุฏู‡ู…ุงุŒ ูˆุงู„ุชุงู†ูŠ ุจุตูŠุฑ ุนู„ูŠูƒูˆุง ุญู„ูˆ
2482
+
2483
+ 748
2484
+ 01:33:42,630 --> 01:33:50,230
2485
+ ุงู„ุณุคุงู„ ุจูŠู‚ูˆู„ ู…ุง ูŠุฃุชูŠ example
2486
+
2487
+ 749
2488
+ 01:33:50,230 --> 01:33:55,690
2489
+ if
2490
+
2491
+ 750
2492
+ 01:33:55,690 --> 01:34:06,610
2493
+ y1 of t ุจุฏู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ t ูˆ t greater than zero
2494
+
2495
+ 751
2496
+ 01:34:06,610 --> 01:34:11,170
2497
+ is a power
2498
+
2499
+ 752
2500
+ 01:34:32,600 --> 01:34:42,610
2501
+ y' ุชุณุงูˆูŠ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ููŠ
2502
+
2503
+ 753
2504
+ 01:34:42,610 --> 01:34:54,670
2505
+ ุงู„ y ุฒุงุฆุฏ y ุชุฑุจูŠุน ุณู…ู‡ุง ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ find its
2506
+
2507
+ 754
2508
+ 01:34:54,670 --> 01:34:59,670
2509
+ general solution
2510
+
2511
+ 755
2512
+ 01:35:19,410 --> 01:35:23,690
2513
+ ุณุคุงู„ ู…ุฑุฉ ุชุงู†ูŠุฉ ุจูŠุญุทูŠู†ูŠ y ูˆุงุญุฏ ุณูˆุงุก ูˆุงุญุฏ ุนู„ู‰ t ูˆ ุงู„
2514
+
2515
+ 756
2516
+ 01:35:23,690 --> 01:35:27,730
2517
+ t greater than zero ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุญู„ ุฎุงุต ู„ู„ู…ุนุงุฏู„ุฉ
2518
+
2519
+ 757
2520
+ 01:35:27,730 --> 01:35:31,810
2521
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ูุฌู‡ุฉ ุงู„ general solution ุจุชุทู„ุน ููŠ
2522
+
2523
+ 758
2524
+ 01:35:31,810 --> 01:35:36,190
2525
+ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ y prime ุณู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ูŠุนู†ูŠ function
2526
+
2527
+ 759
2528
+ 01:35:36,190 --> 01:35:40,530
2529
+ ููŠ t function ููŠ t ููŠ y function t ุงู„ู„ูŠ ู‡ูˆ
2530
+
2531
+ 760
2532
+ 01:35:40,530 --> 01:35:46,910
2533
+ constant ููŠ y ุชูƒูŠุจ ูŠุจู‚ู‰ ู‡ุฏุฑูŠ ูƒ equation ูŠุจู‚ู‰ ู‡ู†ุง
2534
+
2535
+ 761
2536
+ 01:35:46,910 --> 01:35:57,780
2537
+ equation one is Riccati equation ุฅุฐุง ุจู‚ูˆู„ ู„ู‡ the
2538
+
2539
+ 762
2540
+ 01:35:57,780 --> 01:36:10,620
2541
+ general solution is y ูŠุณุงูˆูŠ y one ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v
2542
+
2543
+ 763
2544
+ 01:36:10,620 --> 01:36:18,100
2545
+ of t ูˆ ู„ุณู‡ ุงู„ v of t ุจุฏู†ุง ู†ุนุฑู ู…ุง ู‡ูˆ ุดูƒู„ู‡ุง ู…ุดุงู† ู‡ูŠูƒ
2546
+
2547
+ 764
2548
+ 01:36:18,100 --> 01:36:22,680
2549
+ ุจุงุฌูŠ ุฃู‚ูˆู„ ู‡ูˆ ูŠุนุทูŠู†ูŠ ูˆุงุญุฏ ุนู„ู‰ t ุนุจุงุฑุฉ ุนู† ุญู„ ุฅุฐุง
2550
+
2551
+ 765
2552
+ 01:36:22,680 --> 01:36:27,040
2553
+ ุงู„ูˆุงุญุฏ ุนู„ู‰ t ูŠุญู‚ู‚ ู…ูŠู†ุŸ ูŠุญู‚ู‚ ุงู„ู…ุนุงุฏู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง
2554
+
2555
+ 766
2556
+ 01:36:27,040 --> 01:36:38,620
2557
+ since ุจู…ุง ุฃู† ู‡ูˆ ูˆุงุญุฏ ูˆุงุญุฏ ุนู„ู‰ t is a solution of
2558
+
2559
+ 767
2560
+ 01:36:38,620 --> 01:36:46,120
2561
+ the differential equation when we have
2562
+
2563
+ 768
2564
+ 01:36:49,940 --> 01:36:57,460
2565
+ ูŠุจู‚ู‰ ู…ุดุชู‚ุชู‡ ู‚ุฏ ุงูŠุด ูŠุง ุจู†ุงุช ุฏูŠ
2566
+
2567
+ 769
2568
+ 01:36:57,460 --> 01:37:03,400
2569
+ ู‚ุฏ ุงูŠุดุŸ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ุตุญูŠุญ ูˆู„ุง ู„ุงุŸ
2570
+
2571
+ 770
2572
+ 01:37:03,400 --> 01:37:08,960
2573
+ ู„ูƒู† ุงุญู†ุง ู…ุฏุงู… ู‡ูŠูƒ ุดูˆุฑุงูƒ ู†ุดุชู‚ ู‡ุฐู‡ ูˆู‚ู„ุตู†ุง ุตุญุŸ ู…ุด
2574
+
2575
+ 771
2576
+ 01:37:08,960 --> 01:37:23,770
2577
+ ู‡ุญุณู† ู„ูŠู‡ุŸ ูˆูŠู‡ ู‡ุฐุงุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ dy ุนู„ู‰ dt ู†ุงู‚ุต
2578
+
2579
+ 772
2580
+ 01:37:23,770 --> 01:37:32,370
2581
+ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ ุงู„ dv ุนู„ู‰ dt ู‡ุฐุง ุจุฏูŠ ูŠุนุทูŠูƒูŠ
2582
+
2583
+ 773
2584
+ 01:37:32,370 --> 01:37:40,860
2585
+ ู…ุง ูŠุฃุชูŠ ุจู†ุฌูŠ ู„ู„ู€ dy1 ุนู„ู‰ dt ุจุฏูŠ ุงู„ู€ dy1 ุงูˆ ู‡ุฐู‡ ุจุฏู‡ุง
2586
+
2587
+ 774
2588
+ 01:37:40,860 --> 01:37:45,240
2589
+ ุชุณุงูˆูŠ ู†ุดุชุงู‚ ุงู„ุทุฑู ุงู„ูŠู…ูŠู† ูƒู„ู‡ ุฏูŠ dy ุนู„ู‰ dt ุตุงุฑุช
2590
+
2591
+ 775
2592
+ 01:37:45,240 --> 01:37:51,560
2593
+ ุจุงู„ุดูƒู„ ุงู† ู‡ุฐุง ุชู…ุงู… ูŠุจู‚ู‰ ุจุฏูŠ ุงู…ุณูƒ ู‡ุฐู‡ dy1 ุฌุฏุงุด
2594
+
2595
+ 776
2596
+ 01:37:51,560 --> 01:37:59,460
2597
+ ู…ุดุชุงู‚ุชู‡ุง ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ v
2598
+
2599
+ 777
2600
+ 01:37:59,460 --> 01:38:02,940
2601
+ ุชุฑุจูŠุน ููŠ ุงู„ dv ุนู„ู‰ dt
2602
+
2603
+ 778
2604
+ 01:38:06,170 --> 01:38:15,550
2605
+ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ููŠ y ุฌุฏุงุด ุงู„
2606
+
2607
+ 779
2608
+ 01:38:15,550 --> 01:38:21,990
2609
+ y ุจ y1 ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ูŠุจู‚ู‰ y1 ๏ฟฝ๏ฟฝู„ู„ูŠ ู‡ูŠุจู‚ู‰ ุฌุฏุงุด ูŠุง
2610
+
2611
+ 780
2612
+ 01:38:21,990 --> 01:38:22,510
2613
+ ุจู†ุงุช
2614
+
2615
+ 781
2616
+ 01:38:38,400 --> 01:38:44,090
2617
+ ุทูŠุจ ุฃุธู† ู„ูˆ ุงุฌุช ู‡ุงุฏูŠ ุนู†ุฏ ู‡ุงุฏูŠ ู…ุน ุงู„ุณู„ุงู…ุฉ ุจุตูŠุฑ ุฃู†
2618
+
2619
+ 782
2620
+ 01:38:44,090 --> 01:38:52,090
2621
+ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ dv ุนู„ู‰ dt ุจูŠุณุงูˆูŠ ุณุงู„ุจ
2622
+
2623
+ 783
2624
+ 01:38:52,090 --> 01:39:00,330
2625
+ ูˆุงุญุฏ ุนู„ู‰ t ูˆูŠูˆู†ุจ ูˆุงุญุฏ ุนู„ู‰ t ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ุฒุงุฆุฏ
2626
+
2627
+ 784
2628
+ 01:39:00,330 --> 01:39:09,240
2629
+ ูˆุงุญุฏ ุนู„ู‰ t ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ุงู„ูƒู„ ุชุฑุจูŠุน ู†ููƒ ุงู„ุชุฑุจูŠุฉ
2630
+
2631
+ 785
2632
+ 01:39:09,240 --> 01:39:14,820
2633
+ ู„ุฃู†ู‡ุง ุฏูŠ ูŠุง ุจู†ุงุช ุจุตูŠุฑ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ ุงู„
2634
+
2635
+ 786
2636
+ 01:39:14,820 --> 01:39:22,760
2637
+ dv ุนู„ู‰ dt ุจุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ูŠุจู‚ู‰ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰
2638
+
2639
+ 787
2640
+ 01:39:22,760 --> 01:39:32,480
2641
+ t ุชุฑุจูŠุน ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ููŠ v ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน
2642
+
2643
+ 788
2644
+ 01:39:32,480 --> 01:39:42,760
2645
+ ุฒุงุฆุฏ ุงุชู†ูŠู† ุนู„ู‰ t ููŠ v ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ุทู„ุนูŠู„ูŠ
2646
+
2647
+ 789
2648
+ 01:39:42,760 --> 01:39:48,560
2649
+ ู‡ู†ุง ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ูˆุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ุชุฑุจูŠุน ู…ุน
2650
+
2651
+ 790
2652
+ 01:39:48,560 --> 01:39:49,500
2653
+ ุงู„ุณู„ุงู…ุฉ
2654
+
2655
+ 791
2656
+ 01:40:01,860 --> 01:40:09,820
2657
+ ูŠุจู‚ู‰ ุงูŠุด ุจุตูŠุฑ ุนุงู…ุฉ ู‡ู†ุง ุจุตูŠุฑ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน
2658
+
2659
+ 792
2660
+ 01:40:09,820 --> 01:40:19,820
2661
+ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ููŠ ุงู„ dv ุนู„ู‰ dt ุจุงู„ุฏุฑุณ ุงูˆูŠุฏูŠ
2662
+
2663
+ 793
2664
+ 01:40:19,820 --> 01:40:25,240
2665
+ v ุนู„ู‰ dt ุจุฏู‘ูŠ ุณุงู…ุน ุฑุงุญ ุงุชู‡ุฏูŠ ู…ุน ู‡ุงุฏูŠ ุงุทู„ุนูŠู‡
2666
+
2667
+ 794
2668
+ 01:40:25,240 --> 01:40:34,080
2669
+ ู„ู‡ุงุฏูŠ ูˆุงุทู„ุนูŠู‡ ู„ู‡ุงุฏูŠ ู‡ุง ุจูŠุถู„ ูˆุงุญุฏ ุนู„ู‰ tv ูŠุจู‚ู‰ ุฒุงุฆุฏ
2670
+
2671
+ 795
2672
+ 01:40:34,080 --> 01:40:42,980
2673
+ ูˆุงุญุฏ ุนู„ู‰ t ููŠ v ู‡ู†ุง ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ v ุชุฑุจูŠุน ุงุถุฑุจูŠู†ูŠ
2674
+
2675
+ 796
2676
+ 01:40:42,980 --> 01:40:51,860
2677
+ ุงู„ุทุฑูŠู‚ูŠู† ูƒู„ู‡ ููŠ ุณู„ุจ v ุชุฑุจูŠุน ุจุธู„ ุนู†ุฏูŠ dv ุนู„ู‰ dt ู„ู…ุง
2678
+
2679
+ 797
2680
+ 01:40:51,860 --> 01:40:58,300
2681
+ ู†ุถุฑุจ ููŠ ุณู„ุจ v ุชุฑุจูŠุน ุจุธู„ ุณุงู„ุจ ูˆุงุญุฏ ุนู„ู‰ t ููŠ ุงู„ v
2682
+
2683
+ 798
2684
+ 01:40:58,300 --> 01:41:04,950
2685
+ ุฒุงุฆุฏ ุฌุฏุงุด ูŠุง ุจู†ุงุช ุฒุงุฆุฏ ูˆุงุญุฏ ูŠุจู‚ู‰ ู‡ุฐุง ูƒู„ู‡ ูŠุณูˆู‰ ู‡ูƒุฐุง
2686
+
2687
+ 799
2688
+ 01:41:04,950 --> 01:41:12,870
2689
+ dv ุนู„ู‰ dt ูŠุณุงูˆูŠุŒ ุชู…ุงู…ุŸ ูŠุนู†ูŠ ุฅุฐุง ุตุงุฑุช ู‡ุฐู‡ dv ุนู„ู‰ dt
2690
+
2691
+ 800
2692
+ 01:41:12,870 --> 01:41:21,630
2693
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ t ููŠ ุงู„ v ุณุชุณูˆู‰ ูƒู…ุŸ ุณุงู„ุจ ูˆุงุญุฏุŒ ุงู‡ุŒ
2694
+
2695
+ 801
2696
+ 01:41:21,630 --> 01:41:28,070
2697
+ ู‡ุฐู‡ ุณุงู„ุจ ูˆุงุญุฏุŒ ู…ุธุจูˆุทุŒ ู‡ุฐู‡ ุณุงู„ุจ ูˆุงุญุฏุŒ ุณุชุณูˆู‰ ุณุงู„ุจ
2698
+
2699
+ 802
2700
+ 01:41:28,070 --> 01:41:34,340
2701
+ ูˆุงุญุฏุŒ ุงูŠุด ุฑุฃูŠูƒ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ุŸ ู„ูŠู†ูŠุฑ ุตุญ ูˆู„ุง ู„ุฃ
2702
+
2703
+ 803
2704
+ 01:41:34,340 --> 01:41:46,400
2705
+ ูŠุจู‚ู‰ ู‡ุฐู‡ linear first order differential equation
2706
+
2707
+ 804
2708
+ 01:41:46,400 --> 01:41:55,570
2709
+ ุจุฏู†ุง ู†ุญู„ู‡ุง ูŠุจู‚ู‰ ุจุฏู†ุง ู„ mu of t ุฃุณ ุชูƒุงู…ู„ ูˆุงุญุฏ ุนู„ู‰
2710
+
2711
+ 805
2712
+ 01:41:55,570 --> 01:42:03,990
2713
+ t dt ุจ e ln t ุฅุฐุง ุงู†ุฌู„ t ุฃูƒุจุฑ ู…ู† zero ูŠุจู‚ู‰ e ุฃุณ
2714
+
2715
+ 806
2716
+ 01:42:03,990 --> 01:42:10,650
2717
+ ln t ูŠุจู‚ู‰ ูŠุณุงูˆูŠ ู‚ุฏ ุงูŠุด t ูŠุจู‚ู‰ ุจุฏู†ุง ู†ุถุฑุจ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡
2718
+
2719
+ 807
2720
+ 01:42:10,650 --> 01:42:21,310
2721
+ ูƒู„ู‡ุง ููŠ t ุจุตูŠุฑ t ููŠ dv ุนู„ู‰ dt ุฒุงุฆุฏ v ูŠุณุงูˆูŠ ุณุงู„ุจ t
2722
+
2723
+ 808
2724
+ 01:42:23,040 --> 01:42:29,460
2725
+ ูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠู‡ ู‡ุฐุง ุนุจุงุฑุฉ ุนู† t ููŠ v ูƒู„ prime ุจุณุงู„ุจ
2726
+
2727
+ 809
2728
+ 01:42:29,460 --> 01:42:36,660
2729
+ t ู†ูƒู…ู„ ุงู„ุทุฑููŠู† ูŠุจู‚ู‰ t ููŠ v ูŠุณุงูˆูŠ ุณุงู„ุจ t ุชุฑุจูŠุน ุนู„ู‰
2730
+
2731
+ 810
2732
+ 01:42:36,660 --> 01:42:44,680
2733
+ ุงุชู†ูŠู† ุฒุงุฆุฏ constant c ู†ู‚ุณู… ูƒู„ู‡ ุนู„ู‰ t ูŠุจู‚ู‰ v of t
2734
+
2735
+ 811
2736
+ 01:42:44,680 --> 01:42:51,120
2737
+ ุงู„ู„ูŠ ุงุญู†ุง ุฌุงุนุฏูŠู† ุจู†ุฏูˆุฑ ุนู„ูŠู‡ุง ุจุฏู‡ ูŠุณุงูˆูŠ ุณุงู„ุจ t ุนู„ู‰
2738
+
2739
+ 812
2740
+ 01:42:51,120 --> 01:43:01,460
2741
+ 2 ุณุงู„ุจ t ุนู„ู‰ 2 ุฒุงุฆุฏ c ุนู„ู‰ t ุฃูˆ ุงู† ุดูŠุชู†ุง ูุงู‚ู„ู†ุง ูƒู„ู‡
2742
+
2743
+ 813
2744
+ 01:43:01,460 --> 01:43:09,020
2745
+ ุนู„ู‰ ุงุชู†ูŠู† t ุจุชู†ูŠู† c ูƒู„ู‡
2746
+
2747
+ 814
2748
+ 01:43:09,020 --> 01:43:12,040
2749
+ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† ุจุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t
2750
+
2751
+ 815
2752
+ 01:43:12,040 --> 01:43:12,200
2753
+ ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t
2754
+
2755
+ 816
2756
+ 01:43:12,200 --> 01:43:16,340
2757
+ ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุชู†ูŠู† t
2758
+
2759
+ 817
2760
+ 01:43:16,340 --> 01:43:17,840
2761
+ ุนู„ู‰ ุงุชู†ูŠู† t ุนู„ู‰ ุงุช
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@@ -0,0 +1,3120 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:00,000 --> 00:00:02,540
3
+ ู…ูˆุณูŠู‚ู‰
4
+
5
+ 2
6
+ 00:00:10,750 --> 00:00:15,630
7
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ู„ู„ู…ุฑุฉ ุงู„ู„ู‰ ูุงุชุช ุงุฎุฏู†ุง
8
+
9
+ 3
10
+ 00:00:15,630 --> 00:00:20,670
11
+ section 6 3 ุงู„ู„ู‰ ูƒุงู† ุจุชุญุฏุซ ุนู† ุงู„ step function ุงูˆ
12
+
13
+ 4
14
+ 00:00:20,670 --> 00:00:24,970
15
+ ุงู„ unit step function ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุณุชุฎุฏู… ุงู„
16
+
17
+ 5
18
+ 00:00:24,970 --> 00:00:29,710
19
+ unit step function ูู‰ ุญู„ ุงู„ู…ุนุงุฏู„ุงุช ุงู„ุชูุงุถู„ูŠุฉ
20
+
21
+ 6
22
+ 00:00:30,140 --> 00:00:32,940
23
+ ุงู„ุนู†ูˆุงู† ุงู„ู„ู‰ ู‡ุฑุงูุนู‡ ู‡ูˆ differential equations with
24
+
25
+ 7
26
+ 00:00:32,940 --> 00:00:37,000
27
+ discontinuous functions ูŠุจู‚ู‰ ุงุญู†ุง ุจุฏู†ุง ู†ุญู„
28
+
29
+ 8
30
+ 00:00:37,000 --> 00:00:41,120
31
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุงู„ู„ู‰ ุจุชุจู‚ู‰ non-homogeneous
32
+
33
+ 9
34
+ 00:00:41,120 --> 00:00:44,860
35
+ differential equation ุจุนุฏู‡ุง ุงู„ุทุฑู ุงู„ูŠู…ูŠู† ู…ู† ู‡ุฐู‡
36
+
37
+ 10
38
+ 00:00:44,860 --> 00:00:49,740
39
+ ุงู„ู…ุนุงุฏู„ุฉ ูŠูƒูˆู† discontinuous function ุชู…ุงู… ุงูˆ
40
+
41
+ 11
42
+ 00:00:49,740 --> 00:00:55,580
43
+ ุงู†ุดุฑุชู‡ู… ูู‚ูˆู„ูˆุง piecewise continuous functionูŠู‚ูˆู„
44
+
45
+ 12
46
+ 00:00:55,580 --> 00:00:59,160
47
+ ุญู„ ุงู„ุฃู…ุฑ ุงู„ู€ initial value problem ุนู„ู‰ ุงู„ุดูƒู„
48
+
49
+ 13
50
+ 00:00:59,160 --> 00:01:04,920
51
+ ุงู„ุชุงู„ูŠ yw' ุฒุงุฆุฏ y ูŠุณูˆู‰ f of t y ุนู†ุฏ 0 ูŠุณูˆู‰ 0 ูˆ y
52
+
53
+ 14
54
+ 00:01:04,920 --> 00:01:12,020
55
+ ุนู†ุฏ 0 ูŠุณูˆู‰ 1 ุดูƒู„ f of t ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุฐู„ุฉ ู…ูƒูˆู†ุฉ ู…ู†
56
+
57
+ 15
58
+ 00:01:12,020 --> 00:01:16,240
59
+ ุฌุฒุฆูŠู† ุชุณูˆู‰ 1 ุนู†ุฏู…ุง t ู…ุญุตูˆุฑุฉ ุจูŠู† 0 ูˆ ฯ€ุงูŠุฉ ุนู„ู‰ 2
60
+
61
+ 16
62
+ 00:01:16,240 --> 00:01:22,880
63
+ ูˆุชุณูˆู‰ 0 ุนู†ุฏู…ุง t ุฃูƒุจุฑ ู…ู† ุฃูˆ ุชุณูˆู‰ ุจุงูŠุฉ ุนู„ู‰ 2 ูˆ ุฃู‚ู„
64
+
65
+ 17
66
+ 00:01:22,880 --> 00:01:27,860
67
+ ู…ู† infinityูƒุงู† ู…ู…ูƒู† ุงูƒุชุจ ู‡ุฐู‡ ุจุณ ุงู† T ุงูƒุจุฑ ู…ู† ุงูˆ
68
+
69
+ 18
70
+ 00:01:27,860 --> 00:01:33,020
71
+ ูŠุณุงูˆูŠ ุจุงูŠุฉ ุงุชู†ูŠู† ูˆุงุณูƒุช ูู†ุตุฑุช ุจู‡ุฐู‡ ุงู„ุตูŠุงู†ุฉ ูˆ ุงู„ู„ู‡
72
+
73
+ 19
74
+ 00:01:33,020 --> 00:01:37,680
75
+ ุฌู„ุช T ุงูƒุจุฑ ู…ู† ุงูˆ ูŠุณุงูˆูŠ ุจุงูŠุฉ ุงุชู†ูŠู† ู„ุงุชู†ูŠู† are the
76
+
77
+ 20
78
+ 00:01:37,680 --> 00:01:41,760
79
+ same ูŠุนู†ูŠ ู…ุง ุญุฏุฏุชุด ู‚ูŠูˆุฏ ู„ T ุจุนุฏ ุฐู„ูƒ ูƒู„ ุงู„ู‚ูŠุงุฏุฉ
80
+
81
+ 21
82
+ 00:01:41,760 --> 00:01:45,130
83
+ ุงู„ู„ูŠ ุญุทูŠุชู‡ุง ุงู†ู‡ุง ุงูƒุจุฑ ู…ู† ุงูˆ ุชุณุงูˆูŠ ุจุงูŠุฉ ุงุชู†ูŠู†ุฃูŠุดุŸ
84
+
85
+ 22
86
+ 00:01:45,130 --> 00:01:49,550
87
+ ู…ุงุจุฏุฃ ุฃุฎุฏ ุฃูƒุจุฑ ู…ู†ู‡ ู„ุบุงูŠุฉ infinity ุชู…ุงู…ุŸ ุจู‚ูˆู„ ูƒูˆูŠุณ
88
+
89
+ 23
90
+ 00:01:49,550 --> 00:01:52,430
91
+ ุทุจุนุง ุงู„ู„ูŠ ู…ุงุจุฏุฃ ุฃุฎุฏ ู„ุฃ ุจู„ุงุณ ุงู„ transform ู„ุฃ ุฏู‡ ุฏู‡
92
+
93
+ 24
94
+ 00:01:52,430 --> 00:01:56,270
95
+ ุงู„ู„ูŠ ู…ุงุจุฏุฃ ุฃุฎุฏ ู„ุฃ ุจู„ุงุณ ู„ู„ F of T F of T ุนุจุงุฑุฉ ุนู†
96
+
97
+ 25
98
+ 00:01:56,270 --> 00:01:59,090
99
+ ุฌุฒุฆูŠู† ู…ุนู†ุงุชู‡ ุจุฏูŠ ุฃุฑูˆุญู‡ุง ูƒุงู…ู„ุŒ ู„ุง ุฃู†ุง ู…ุงุจุฏูŠุด ุฃูƒุงู…ู„
100
+
101
+ 26
102
+ 00:01:59,090 --> 00:02:03,470
103
+ ุฃู†ุง ุจุฏูŠ ุฃุณุชุฎุฏู… ุงู„ุฌุฏูˆู„ ุงู„ู„ูŠ ุจูŠู† ุฃูŠุฏู†ุง ุฃูˆ ุฃุณุชุฎุฏู…
104
+
105
+ 27
106
+ 00:02:03,470 --> 00:02:09,810
107
+ ู†ุธุฑูŠุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุจุฏูŠ ุฃู‚ูˆู„ ูƒูˆูŠุณุŒ ุฅุฐุง ุจุฏูŠ ุฃุนูŠุฏ
108
+
109
+ 28
110
+ 00:02:09,810 --> 00:02:15,910
111
+ ุตูŠุงุบุฉ ู‡ุฐู‡ ุงู„ function ุจุดูƒู„ ุฌุฏูŠุฏุจู‚ูˆู„ ูƒูˆูŠุณุŒ ุงู„ุณุคุงู„
112
+
113
+ 29
114
+ 00:02:15,910 --> 00:02:21,230
115
+ ู‡ูˆ ุฃู„ูŠุณุช ู‡ุฐู‡ ูŠุง ุจู†ุงุช ู‡ูŠ ุงู„ู…ุซุงู„ ุงู„ุฃูˆู„ ููŠ ุงู„ู…ุญุงุถุฑุฉ
116
+
117
+ 30
118
+ 00:02:21,230 --> 00:02:27,930
119
+ ุงู„ู…ุงุถูŠุฉุŸ ุทู„ุนูˆุง ููŠู‡ุŒ ุดูˆููˆุง ุงู„ู…ุญุงุถุฑุฉ
120
+
121
+ 31
122
+ 00:02:27,930 --> 00:02:31,590
123
+ ุงู„ู…ุงุถูŠุฉ ุฃูˆู„ ู…ุซุงู„ ุจุนุฏ ู…ุง ุนุฑูู†ุง ุงู„ unit step
124
+
125
+ 32
126
+ 00:02:31,590 --> 00:02:38,370
127
+ function ูˆุฑุณู…ู†ุง ุงู„ุฑุณู…ุชูŠู†ุŒ ุงู„ุณุคุงู„ ุงู„ู„ูŠ ุจุนุฏู‡ุŸุฃูˆ ุญุชู‰
128
+
129
+ 33
130
+ 00:02:38,370 --> 00:02:44,130
131
+ ู…ุด ู‡ุงู„ ู„ุฃ ู„ุฃ ุฃูˆู„ ุณุคุงู„ุŒ ุฑุณู…ุฉ ุฃูˆู„ ุณุคุงู„ ูƒุงู†ุด ูˆุงุญุฏ
132
+
133
+ 34
134
+ 00:02:44,130 --> 00:02:50,050
135
+ ู†ุงู‚ุต U C of TุŒ ู…ุธุจูˆุทุŸ ุงู„ C ุฃุฌุจ ุฃูƒุงู†ู‡ุง ุจุณ Pi ุนู„ู‰
136
+
137
+ 35
138
+ 00:02:50,050 --> 00:02:53,910
139
+ ุงุชู†ูŠู†ุŒ ูŠุจู‚ู‰ ู‡ูˆ ู†ูุณ ุงู„ุณุคุงู„ุŒ ุฅุฐุง ู‡ุฐู‡ ู…ู† ุงู„ู…ุฑุฉ
140
+
141
+ 36
142
+ 00:02:53,910 --> 00:03:01,330
143
+ ุงู„ู…ุงุถูŠุฉ ุงู„ F of T ู‡ูŠ ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏ ู†ุงู‚ุต U Pi ุนู„ู‰
144
+
145
+ 37
146
+ 00:03:01,330 --> 00:03:06,020
147
+ ุงุชู†ูŠู† as a function of Tุงู„ู…ุนุงุฏู„ุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ู…ุซุงู„ูŠ
148
+
149
+ 38
150
+ 00:03:06,020 --> 00:03:10,680
151
+ ุงู„ุฃูˆู„ ุตุญูŠุญ ูˆู„ุง ู„ุฃ ู…ุด ูƒุงู†ุช ุนู„ู‰ ุงู„ุดูƒู„ ู‡ุฐุง ุจุณ ุจุฏู„ ุจูŠ
152
+
153
+ 39
154
+ 00:03:10,680 --> 00:03:14,360
155
+ ุนู„ู‰ ุงุชู†ูŠู† ูƒุงู†ุช C ุฅุฐุง ุจุฏูŠ ุงุนุชุจุฑ C ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† ูˆ
156
+
157
+ 40
158
+ 00:03:14,360 --> 00:03:18,120
159
+ ุงุดุชุบู„ ุงู„ุดุบู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠู‡ ุฃุตุจุญุช
160
+
161
+ 41
162
+ 00:03:18,120 --> 00:03:23,540
163
+ ุงู„ู…ุนุงุฏู„ุฉ ุชูุงุถู„ูŠุฉ Y double prime ุฒุงุฆุฏ Y ุณูˆู‰ ูˆุงุญุฏ
164
+
165
+ 42
166
+ 00:03:23,540 --> 00:03:30,840
167
+ ู†ุงู‚ุต U ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† as a function of Tุงู„ุงู† ุจู†ุงุฎุฏ
168
+
169
+ 43
170
+ 00:03:30,840 --> 00:03:37,100
171
+ ู„ุจู„ุงุณ ู„ู…ู†ุŸ ู„ู„ุทุฑููŠู† ูŠุจู‚ู‰ ู„ุจู„ุงุณ transform ู„ู„ y
172
+
173
+ 44
174
+ 00:03:37,100 --> 00:03:42,920
175
+ double prime ุฒุงุฆุฏ ู„ุจู„ุงุณ transform ู„ู„ y ู„ุฃู† ู„ุจู„ุงุณ
176
+
177
+ 45
178
+ 00:03:42,920 --> 00:03:50,100
179
+ linear ุจุฏู‡ ูŠุณุงูˆูŠ ู„ุจู„ุงุณ ู„ู„ูˆุงุญุฏ ุงู„ุตุญูŠุญ ู†ุงู‚ุต ู„ุจู„ุงุณ ู„
180
+
181
+ 46
182
+ 00:03:50,100 --> 00:03:57,880
183
+ u pi ุนู„ู‰ 2 as a function of tู‡ุฐู‡ ุงุฎุฏู†ุง ู„ู‡ุง ู†ุธุฑูŠุฉ
184
+
185
+ 47
186
+ 00:03:57,880 --> 00:04:04,300
187
+ ูƒุงู†ุช ุจุชู‚ูˆู„ูŠ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† S square capital Y of S
188
+
189
+ 48
190
+ 00:04:04,300 --> 00:04:12,020
191
+ ู†ุงู‚ุต S ููŠ Y and Zero ู†ุงู‚ุต Y prime and Zero ู…ุด ู‡ูŠ
192
+
193
+ 49
194
+ 00:04:12,020 --> 00:04:16,320
195
+ ูƒุงู† ู†ูุณ ุงู„ู†ุธุฑูŠุฉ ูˆุตู„ู†ุง ู„ู„ุง plus ู„ู„ Y ุงู„ู„ูŠ ู‡ูˆ
196
+
197
+ 50
198
+ 00:04:16,320 --> 00:04:23,710
199
+ capital Y of Sุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐู‡ Laplace ุฅุฐุง ู…ุฐุงูƒุฑูŠู†ู‡ุง
200
+
201
+ 51
202
+ 00:04:23,710 --> 00:04:27,510
203
+ ุญุณุจู†ุงู‡ุง ู‚ุจู„ ู…ุด ู…ุฐุงูƒุฑูŠู†ู‡ุง ุจุฑูˆุญ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ู…ุจุงุดุฑุฉ
204
+
205
+ 52
206
+ 00:04:27,510 --> 00:04:33,550
207
+ ูŠุจู‚ู‰ Laplace ุงู„ูˆุงุญุฏ ุจู‚ุฏุงุดุŸ ุจูˆุงุญุฏ ุนู„ู‰ ุงุณ Laplace ู„
208
+
209
+ 53
210
+ 00:04:33,550 --> 00:04:40,790
211
+ U ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† as a function of T ู„ E ุฃุต ู†ุงู‚ุต ุจุงูŠ
212
+
213
+ 54
214
+ 00:04:40,790 --> 00:04:48,280
215
+ ุนู„ู‰ ุงุชู†ูŠู† S ุนู„ู‰ Sู…ุธุจูˆุท ูŠุง ุจู†ุงุชุŸ ุจุฑุถู‡ ุญุณุจู†ุงู‡ุง ุงู„ู…ุฑุฉ
216
+
217
+ 55
218
+ 00:04:48,280 --> 00:04:52,400
219
+ ุงู„ู„ู‰ ูุงุชุช ูŠุจู‚ู‰ ู„ C ุจุฏู„ ุจูŠ ุน ุงุชู†ูŠู† ูƒุงู†ุช C ูŠุจู‚ู‰
220
+
221
+ 56
222
+ 00:04:52,400 --> 00:04:56,760
223
+ ุดูŠู„ู†ุง C ูˆุญุทูŠู†ุง ุงู† ูƒุงู† ุจูŠ ุน ุงู„ุฃุชู†ูŠู† ูŠุจู‚ู‰ ุฃุฎุฏุช ู„ุฃู„ุง
224
+
225
+ 57
226
+ 00:04:56,760 --> 00:05:01,720
227
+ plus transform ู„ู„ุทุฑููŠู† ู…ุถู„ุด ุนู„ูŠู‡ ุฅู„ุง ุฃุฌู…ุน ูˆ ุฃุดูˆู
228
+
229
+ 58
230
+ 00:05:01,720 --> 00:05:05,630
231
+ ุฅูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑุจุงู„ุทุจุน ูƒุงุจุชู† ุงู„ Y of S ู‡ูŠ ูˆุงุญุฏุฉ ูˆ ู‡ูŠ
232
+
233
+ 59
234
+ 00:05:05,630 --> 00:05:10,950
235
+ ุงู„ุชุงู†ูŠุฉ ู…ุงููŠุด ุบูŠุฑู‡ู… ูŠุจู‚ู‰ S squared plus one ูƒู„ู‡ ููŠ
236
+
237
+ 60
238
+ 00:05:10,950 --> 00:05:16,330
239
+ ูƒุงุจุชู† ุงู„ Y of S ุงู„ Y ุนู†ุฏูŠ Zero ูƒู„ู‡ ูŠุจู‚ู‰ ุงู„ุฏุงุดุฑ ุจ
240
+
241
+ 61
242
+ 00:05:16,330 --> 00:05:23,300
243
+ Zero ูŠุจู‚ู‰ ู‡ุฐุง ู†ุงู‚ุต Zero ู†ุงู‚ุต ูˆุงุญุฏุชู…ุงู… ุฎู„ุตู†ุง ุงู„ุดุฌุฉ
244
+
245
+ 62
246
+ 00:05:23,300 --> 00:05:30,500
247
+ ุฏูŠ ุจุฏู‡ุง ุชุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ ุงุณ ู†ุงู‚ุต ุงูŠ ุฃุณ ู†ุงู‚ุต ุจุงูŠ ุนู„ู‰
248
+
249
+ 63
250
+ 00:05:30,500 --> 00:05:37,120
251
+ ุงุชู†ูŠู† ุงุณ ุนู„ู‰ ุงุณ ูˆ ู†ู‚ู„ูŠ ุงู„ูˆุงุญุฏ ุนู„ู‰ ุงู„ุดุฌุฉ ุงู„ุชุงู†ูŠุฉ
252
+
253
+ 64
254
+ 00:05:37,120 --> 00:05:45,990
255
+ ุจุตูŠุฑ ุงุณ ุณูƒูˆูŠุฑplus one ููŠ capital Y of S ุจุฏู‡ ูŠุณุงูˆูŠ
256
+
257
+ 65
258
+ 00:05:45,990 --> 00:05:56,330
259
+ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ S ู†ุงู‚ุต EOS ู†ุงู‚ุต ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† S
260
+
261
+ 66
262
+ 00:05:56,750 --> 00:06:04,230
263
+ ูƒู„ู‡ ุนู„ู‰ S ู†ุฌุณู… ูƒู„ู‡ ุนู„ู‰ S ุชุฑุจูŠุฉ ุฒุงุฆุฏ ูˆุงุญุฏ ุจูƒูˆู† ุญุตู„ุช
264
+
265
+ 67
266
+ 00:06:04,230 --> 00:06:09,650
267
+ ุนู„ู‰ ุงู„ุงุจู„ุงุณ transform ู„ู…ูŠู† ู„ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ
268
+
269
+ 68
270
+ 00:06:09,650 --> 00:06:17,690
271
+ ู„ูˆ capital Y of S ุจุฏู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ S ุชุฑุจูŠุฉ ุฒุงุฆุฏ
272
+
273
+ 69
274
+ 00:06:17,690 --> 00:06:25,470
275
+ ูˆุงุญุฏ ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ S ููŠ S ุชุฑุจูŠุฉ ุฒุงุฆุฏ ูˆุงุญุฏ
276
+
277
+ 70
278
+ 00:06:39,410 --> 00:06:44,550
279
+ ูŠุจู‚ู‰ ุงู†ุง ุงู„ุงู† ุจู‡ุฐุง ุญุตู„ุช ุนู„ู‰ Laplace transform ู„ู„
280
+
281
+ 71
282
+ 00:06:44,550 --> 00:06:49,130
283
+ solution ุจุฏ ุงู„ solution ูŠุจู‚ู‰ ุจุงุฎุฏ Laplace inverse
284
+
285
+ 72
286
+ 00:06:49,130 --> 00:06:54,010
287
+ ู„ู…ูŠู† ู„ู„ุทุฑููŠู† ุจุณ ู„ูˆ ุฑูˆุญุช ููŠ ุงู„ุฌุฏูˆู„ ู„ุง ุจู„ุงู‚ูŠ ู‡ุฐู‡ ูˆู„ุง
288
+
289
+ 73
290
+ 00:06:54,010 --> 00:06:59,370
291
+ ุจู„ุงู‚ูŠ ู‡ุฐู‡ู„ูƒู† ุจู‚ุฏุฑ ุงุนู…ู„ ุงุชู…ุงุดูŠ partial fractions
292
+
293
+ 74
294
+ 00:06:59,370 --> 00:07:04,790
295
+ ุชุญู„ูŠู„ ูƒุตูˆุฑ ุฌุฒุฆูŠุฉ ูˆ ุงุญู„ู„ ุจุฏู„ ู…ุง ู‡ูˆ ูƒุณุฑ ูˆุงุญุฏ ุงุฎู„ูŠู‡
296
+
297
+ 75
298
+ 00:07:04,790 --> 00:07:11,210
299
+ ูƒุณุฑูŠู† ูˆ ู†ุดูˆู ุงูŠุด ุงู„ู„ูŠ ุจุฏู‡ ูŠุตูŠุฑ ุงุฐุง ู„ูˆ ุฌูŠุช ู‡ู†ุง ูˆุงุญุฏ
300
+
301
+ 76
302
+ 00:07:11,210 --> 00:07:17,150
303
+ ุนู„ู‰ ุงุณ ููŠ ุงุณ ุชุฑุจูŠุฉ ุฒุงุฆุฏ ูˆุงุญุฏ ุจู†ู‚ุฏุฑ ู†ุญู„ู„ ุงูƒุชุฑ ู…ู†
304
+
305
+ 77
306
+ 00:07:17,150 --> 00:07:22,570
307
+ ุฐู„ูƒ ูˆุงู„ู„ู‡ ุฌุงู‡ุฒูŠู† ุงุญู†ุงุฌุงู‡ุฒูŠู†ุŸ ู‡ุฐู‡ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุซุงู†ูŠุฉ
308
+
309
+ 78
310
+ 00:07:22,570 --> 00:07:25,930
311
+ ูˆู„ุง ูŠู…ูƒู† ุชุญู„ูŠู„ู‡ุง ููŠ ุงู„ real ูˆู‡ุฐู‡ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰
312
+
313
+ 79
314
+ 00:07:25,930 --> 00:07:30,970
315
+ ุงู†ุชู‡ูŠู†ุง ู…ู†ู‡ุง ูŠุจู‚ู‰ ุจู‚ุฏุฑ ุฃู‚ูˆู„ ู‡ุฐู‡ constant ุนู„ู‰ S
316
+
317
+ 80
318
+ 00:07:30,970 --> 00:07:40,130
319
+ ูˆู‡ุฐู‡ BS ุฒุงุฆุฏ C ุนู„ู‰ S square plus one ู†ุถุฑุจ ุงู„ุทุฑููŠู†
320
+
321
+ 81
322
+ 00:07:40,130 --> 00:07:45,830
323
+ ููŠ ุงู„ู…ู‚ุงู… ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ุจุตูŠุฑ ุนู†ุฏู†ุง ูˆุงุญุฏ ูŠุณุงูˆูŠ A
324
+
325
+ 82
326
+ 00:07:45,830 --> 00:07:53,990
327
+ ููŠ S square plus oneุฒุงุฆุฏ ุงู„ู€B S ุฒุงุฆุฏ ุงู„ู€C ูƒู„ู‡ ููŠ
328
+
329
+ 83
330
+ 00:07:53,990 --> 00:07:59,450
331
+ ู…ู†ุŸ ููŠ ุงู„ู€S ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ูŠุนู†ูŠ ุจุตูŠุฑ ุงูŠู‡ุŸ ุจุตูŠุฑ
332
+
333
+ 84
334
+ 00:07:59,450 --> 00:08:10,110
335
+ ูˆุงุญุฏ ุจุฏู‡ ูŠุณุงูˆูŠ ASยฒ ุฒุงุฆุฏ ุงู„ู€Aุฒุงุฆุฏ B S Square ุฒุงุฆุฏ C
336
+
337
+ 85
338
+ 00:08:10,110 --> 00:08:18,310
339
+ S ุงูˆ ุงู† ุดุฆุชูˆู„ู†ุง ูู‚ูˆู„ู†ุง ู‡ุฐู‡ A ุฒุงุฆุฏ B A ุฒุงุฆุฏ ุงู„ B
340
+
341
+ 86
342
+ 00:08:18,310 --> 00:08:26,930
343
+ ูƒู„ู‡ ููŠ S Square ุฒุงุฆุฏ C ููŠ ุงู„ S ู…ุงููŠุด ุนู†ุฏูŠ ุบูŠุฑู‡ุง
344
+
345
+ 87
346
+ 00:08:26,930 --> 00:08:34,730
347
+ ุฒุงุฆุฏ ุงู„ constant Aุงู„ุงู† ู„ูˆ ู‚ุงุฑู†ุช ุงู„ู…ุนุงู…ู„ุงุช ููŠ
348
+
349
+ 88
350
+ 00:08:34,730 --> 00:08:41,450
351
+ ุงู„ุทุฑููŠู† ุจุญุตู„ ุนู„ู‰ ุงูŠู‡ุŸ ูŠุจู‚ู‰ ุงูŠู‡ ุจู‚ุฏุงุด ูŠุง ุจู†ุงุชุŸ ูˆุงุญุฏ
352
+
353
+ 89
354
+ 00:08:41,450 --> 00:08:49,250
355
+ ุชู…ุงู… ุงู†ุชู‡ูŠู†ุง ู…ู†ู‡ุง ูˆ C ุชุณุงูˆูŠ Zero ุชู…ุงู… ุชู…ุงู… ูˆ ู†ุฌูŠ
356
+
357
+ 90
358
+ 00:08:49,250 --> 00:08:57,540
359
+ ุงู„ A ุฒุงุฆุฏ ุงู„ BูŠุนู†ูŠ ุงู„ู€A ุนู†ุฏูŠ ุจูˆุงุญุฏ ูŠุจู‚ู‰ B ุจุณุงู„ุจ
360
+
361
+ 91
362
+ 00:08:57,540 --> 00:09:02,240
363
+ ูˆุงุญุฏ ุชู…ุงู… ุชู…ุงู… ุฅุฐุง ุตุงุฑ ุงู„ partial fraction ุงู„ู„ูŠ
364
+
365
+ 92
366
+ 00:09:02,240 --> 00:09:07,720
367
+ ู‡ุงุฏูŠ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ูˆุงุญุฏ ุนู„ู‰ S ููŠ S square plus
368
+
369
+ 93
370
+ 00:09:07,720 --> 00:09:14,920
371
+ one ูŠุณุงูˆูŠุงู„ู€ A ุจูˆุงุญุฏ ูŠุจู‚ู‰ ูˆุงุญุฏ ุนู„ู‰ S ุงู„ุงู† ุณูŠุจ ุฒูŠุฑูˆ
372
+
373
+ 94
374
+ 00:09:14,920 --> 00:09:19,640
375
+ ู…ุน ุงู„ุณู„ุงู… ุงู„ู„ู‡ ุณู‡ู„ ุนู„ูŠู‡ ุงู„ P ุจุณุงู„ุจ ูˆุงุญุฏ ูŠุจู‚ู‰ ุณุงู„ุจ
376
+
377
+ 95
378
+ 00:09:19,640 --> 00:09:29,100
379
+ S ุนู„ู‰ S square plus one ุฅุฐุง ุตุงุฑ ู‡ุฐุง capital Y as a
380
+
381
+ 96
382
+ 00:09:29,100 --> 00:09:35,760
383
+ function of S ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ูˆุงู†ู‡ุง ูŠููˆู‚ ูŠุจู‚ู‰ ู‡ุฐู‡
384
+
385
+ 97
386
+ 00:09:35,760 --> 00:09:43,470
387
+ ู„ูˆ ุฌูŠุช ุญู„ู„ุชู‡ุง ู‡ูŠ ุนุจุงุฑุฉ ุนู† ูˆุงุญุฏุนู„ู‰ S ู†ุงู‚ุต S ุนู„ู‰ S
388
+
389
+ 98
390
+ 00:09:43,470 --> 00:09:48,690
391
+ ุชุฑุจูŠุฉ ุฒูŠุงุฏุฉ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุงู†ูŠุฉ ุงู„ุฃูˆู„ู‰ ู‡ุฐู‡ ุฒูŠุงุฏุฉ
392
+
393
+ 99
394
+ 00:09:48,690 --> 00:09:54,150
395
+ ูˆุงุญุฏุฉ ุนู„ู‰ S ุชุฑุจูŠุฉ ุฒูŠุงุฏุฉ ูˆุงุญุฏุฉ ูŠุจู‚ู‰ ุฎู„ุตุชู†ูŠ ุงุชู†ูŠู†
396
+
397
+ 100
398
+ 00:09:54,150 --> 00:09:59,790
399
+ ู‡ุฏูˆู„ ุจุงูŠ ู„ุนู†ุฏูŠ ุงุชู†ูŠู† ู‡ุฐู‡ ุทู„ุนูŠ ููŠ ู‡ุฐู‡ ู‡ู†ุง ุณุจู‚ู‡ุง
400
+
401
+ 101
402
+ 00:09:59,790 --> 00:10:09,000
403
+ ู†ุงู‚ุต ูŠุจู‚ู‰ ู†ุงู‚ุต E ุฃุณุงู„ู ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† S ุนู„ู‰ Sุชู…ุงู…ุŸ
404
+
405
+ 102
406
+ 00:10:09,000 --> 00:10:14,980
407
+ ุงู„ุงู† ู†ุงู‚ุต ุจู†ุชูŠุฌุฉ ู„ู†ุงู‚ุต ู‡ุฐุง ุงูŠุด ุจูŠุตูŠุฑุŸ ุฒุงุฆุฏ ูˆู‡ูˆ ู‡ุฐู‡
408
+
409
+ 103
410
+ 00:10:14,980 --> 00:10:25,060
411
+ E ุฃุณ ู†ุงู‚ุต ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† S ููŠ ู…ูŠู†ุŸ ููŠ S ุนู„ู‰ S ุชุฑุจูŠุน
412
+
413
+ 104
414
+ 00:10:25,060 --> 00:10:30,280
415
+ ุฒุงุฆุฏ ูˆุงุญุฏ ุชู…ุงู…ุŸ
416
+
417
+ 105
418
+ 00:10:30,280 --> 00:10:34,880
419
+ ุงุฐุง ุงู†ุง ุจุฏูŠ ุงู„ุญู„ ุฎู„ุงุต ู…ุด ุถุงูŠู„ ุงู„ู„ูŠ ุงุฌูŠุจู„ู‡ ู…ู†ูŠ ุงู„ุญู„
420
+
421
+ 106
422
+ 00:10:34,880 --> 00:10:36,880
423
+ ูุจุฌูŠ ุจู‚ูˆู„ู‡ ุฐุง
424
+
425
+ 107
426
+ 00:10:47,370 --> 00:10:55,140
427
+ ุฎู„ู‘ูŠ ุจุงู„ูƒ ู‡ู†ุงY of T ูŠุณุงูˆูŠ ูŠุนู†ูŠ ุจุชุงุฎุฏ plus inverse
428
+
429
+ 108
430
+ 00:10:55,140 --> 00:10:59,060
431
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
432
+
433
+ 109
434
+ 00:10:59,060 --> 00:11:00,080
435
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
436
+
437
+ 110
438
+ 00:11:00,080 --> 00:11:01,600
439
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
440
+
441
+ 111
442
+ 00:11:01,600 --> 00:11:01,700
443
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
444
+
445
+ 112
446
+ 00:11:01,700 --> 00:11:01,700
447
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
448
+
449
+ 113
450
+ 00:11:01,700 --> 00:11:01,700
451
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
452
+
453
+ 114
454
+ 00:11:01,700 --> 00:11:01,700
455
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
456
+
457
+ 115
458
+ 00:11:01,700 --> 00:11:01,700
459
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
460
+
461
+ 116
462
+ 00:11:01,700 --> 00:11:01,760
463
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
464
+
465
+ 117
466
+ 00:11:01,760 --> 00:11:01,760
467
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
468
+
469
+ 118
470
+ 00:11:01,760 --> 00:11:01,760
471
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
472
+
473
+ 119
474
+ 00:11:01,760 --> 00:11:01,760
475
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
476
+
477
+ 120
478
+ 00:11:01,760 --> 00:11:01,760
479
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
480
+
481
+ 121
482
+ 00:11:01,760 --> 00:11:01,760
483
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse
484
+
485
+ 122
486
+ 00:11:01,760 --> 00:11:03,060
487
+ ู‡ู†ุง plus inverse ู‡ู†ุง plus inverse ู‡ูŠ plus inverse
488
+
489
+ 123
490
+ 00:11:03,060 --> 00:11:04,960
491
+ ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
492
+
493
+ 124
494
+ 00:11:04,960 --> 00:11:05,040
495
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
496
+
497
+ 125
498
+ 00:11:05,040 --> 00:11:06,560
499
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
500
+
501
+ 126
502
+ 00:11:06,560 --> 00:11:06,580
503
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
504
+
505
+ 127
506
+ 00:11:06,580 --> 00:11:06,780
507
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
508
+
509
+ 128
510
+ 00:11:06,780 --> 00:11:06,780
511
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
512
+
513
+ 129
514
+ 00:11:06,780 --> 00:11:06,780
515
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
516
+
517
+ 130
518
+ 00:11:06,780 --> 00:11:08,540
519
+ plus inverse ู‡ูŠ plus inverse ู‡ูŠ plus inverse ู‡ูŠ
520
+
521
+ 131
522
+ 00:11:08,540 --> 00:11:14,990
523
+ plus inverseูŠุจู‚ู‰ ููŠ ุงู„ุฌุฏูˆู„ ุทู„ุนูŠู„ูŠ ุนู„ุฎ ุนู„ู‰ ุณุชุฉุŒ
524
+
525
+ 132
526
+ 00:11:14,990 --> 00:11:22,730
527
+ ู…ุธุจูˆุทุŸ ู‡ูŠ ุณุชุฉ ูˆู„ุง ู„ุงุŸ ุตุญุŸ ูˆูŠู† ูƒุชุงุจูƒุŸ ูˆูŠู† ูˆุฑู‚ ุงู„ู„ูŠ
528
+
529
+ 133
530
+ 00:11:22,730 --> 00:11:27,050
531
+ ูˆุฒุนุช ุนู„ูŠู‡ ูƒู„ ู…ุฑุฉุŸ ุงู„ู„ูŠ ููŠ ุฃูŠ ู…ูˆุจ ุฃูŠ ูƒุชุงุจุŸ ูŠุจู‚ู‰
532
+
533
+ 134
534
+ 00:11:27,050 --> 00:11:28,630
535
+ ูŠูุชุญ ุตุญุฉ 319
536
+
537
+ 135
538
+ 00:11:35,090 --> 00:11:41,650
539
+ ูŠุจู‚ู‰ ุณุชุฉ ุงู„ูŠู…ู† ูƒูˆุตูŠู† A T ุจูŠุณูˆูŠ S ุนู„ูŠ S ุชุฑุจูŠุน ุฒุงุฆุฏ
540
+
541
+ 136
542
+ 00:11:41,650 --> 00:11:49,110
543
+ A ุชุฑุจูŠุน ุงู„ A ุนู†ุฏู‰ ุจู‚ุฏุงุด A ุจูˆุงุญุฏ ูŠุจู‚ู‰ ุฏู‰ ูู‚ุท ูƒูˆุตูŠู†
544
+
545
+ 137
546
+ 00:11:49,110 --> 00:11:53,290
547
+ T ูŠุจู‚ู‰ ู†ุงู‚ุต ูƒูˆุตูŠู† T
548
+
549
+ 138
550
+ 00:12:00,860 --> 00:12:11,560
551
+ ูŠุจู‚ู‰ ู‡ู†ุง ู†ุงู‚ุต ูŠุจู‚ู‰
552
+
553
+ 139
554
+ 00:12:11,560 --> 00:12:15,780
555
+ ู‡ู†ุง ู†ุงู‚ุต ูŠุจู‚ู‰ ู‡ู†ุง ู†ุงู‚ุต
556
+
557
+ 140
558
+ 00:12:22,270 --> 00:12:29,050
559
+ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ
560
+
561
+ 141
562
+ 00:12:29,050 --> 00:12:32,750
563
+ ู‡ุฐู‡
564
+
565
+ 142
566
+ 00:12:32,750 --> 00:12:33,210
567
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
568
+
569
+ 143
570
+ 00:12:33,210 --> 00:12:36,390
571
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
572
+
573
+ 144
574
+ 00:12:36,390 --> 00:12:37,370
575
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
576
+
577
+ 145
578
+ 00:12:37,370 --> 00:12:37,610
579
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
580
+
581
+ 146
582
+ 00:12:37,610 --> 00:12:38,270
583
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
584
+
585
+ 147
586
+ 00:12:38,270 --> 00:12:38,430
587
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
588
+
589
+ 148
590
+ 00:12:38,430 --> 00:12:38,850
591
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
592
+
593
+ 149
594
+ 00:12:38,850 --> 00:12:39,130
595
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
596
+
597
+ 150
598
+ 00:12:39,130 --> 00:12:40,210
599
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
600
+
601
+ 151
602
+ 00:12:40,210 --> 00:12:43,290
603
+ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡ ุงูˆ ู‡ุฐู‡
604
+
605
+ 152
606
+ 00:12:48,230 --> 00:12:54,190
607
+ ุจุฏูŠ ุงุนูŠุฏ ุตูŠุงุบุชู‡ุง ู…ุฑุฉ ุชุงู†ูŠุฉ ูŠุจู‚ู‰ ุงู„ Y as a function
608
+
609
+ 153
610
+ 00:12:54,190 --> 00:13:03,930
611
+ of T ูŠุจู‚ู‰ ูˆุงุญุฏ
612
+
613
+ 154
614
+ 00:13:03,930 --> 00:13:06,290
615
+ ู†ุงู‚ุต cos T
616
+
617
+ 155
618
+ 00:13:19,510 --> 00:13:24,970
619
+ ู†ุฑุฌุน ุจุงู„ุฐุงูƒุฑุฉ ุงู„ู‰ ุงู„ูˆุฑุงู‚ ููŠ ุงู„ู‡ุงู…ุด ู„ุญุณุงุจ ุงู„ู…ุซู„ุซุงุช
620
+
621
+ 156
622
+ 00:13:24,970 --> 00:13:32,690
623
+ ู‡ุฐู‡ cos t cos pi ุนู„ู‰ 2ุงู„ู„ูŠ ุฅุดุงุฑุฉ ู†ุงู‚ุต ุจุตูŠุฑ ุฒุงุฆุฏ
624
+
625
+ 157
626
+ 00:13:32,690 --> 00:13:39,270
627
+ ุตูŠู† ุงุช ุตูŠู† ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† ูƒูˆุตูŠู† ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู†
628
+
629
+ 158
630
+ 00:13:39,270 --> 00:13:44,150
631
+ ู…ู‚ุฏุงุดุŸ Zero ุตูŠู† ุจุงูŠ ุนู„ู‰ ุงุชู†ูŠู† ู…ู‚ุฏุงุดุŸ ุฅุฐุง ุจู‚ุฏุฑ
632
+
633
+ 159
634
+ 00:13:44,150 --> 00:13:49,270
635
+ ุฃุดูŠู„ู‡ุง ูˆ ุฃูƒุชุจ ุจุฏู„ู‡ุง ุจุตูŠู† ุงุชูŠุนู†ูŠ ุจุฏู„ ู…ุง ูƒุงู†ุช cosine
636
+
637
+ 160
638
+ 00:13:49,270 --> 00:13:55,710
639
+ T ู†ู‚ุต ุจูŠ ุนู„ู‰ ุงุชู†ูŠู† ูŠุจู‚ู‰ ุจูƒุชุจ ุจุฏู„ู‡ุง sine T ูŠุนู†ูŠ ู„ูˆ
640
+
641
+ 161
642
+ 00:13:55,710 --> 00:13:59,990
643
+ ุฑูˆุญุชูŠ ุนู„ู‰ ุงู„ูƒุชุงุจ ูŠู…ูƒู† ุชู„ุงู‚ูŠ ุงู„ุฅุฌุงุจุฉ ู‡ุฐู‡ ูˆูŠู…ูƒู†
644
+
645
+ 162
646
+ 00:13:59,990 --> 00:14:04,310
647
+ ุชู„ุงู‚ูŠ ุงู„ุฅุฌุงุจุฉ ู‡ุฐู‡ ูˆุงู„ุงุชู†ูŠู† are the same ูŠุจู‚ู‰ ุฃูŠ
648
+
649
+ 163
650
+ 00:14:04,310 --> 00:14:09,610
651
+ ุฅุฌุงุจุฉ ู…ู† ุงู„ุฅุฌุงุจุชูŠู† ุตุญูŠุญุฉ ูˆู…ุง ุนู„ูŠู‡ุง ู…ุดูƒู„ุฉ
652
+
653
+ 164
654
+ 00:14:26,900 --> 00:14:38,300
655
+ ู…ุซุงู„ ุฑู‚ู… ุงุชู†ูŠู† ุจูŠู‚ูˆู„
656
+
657
+ 165
658
+ 00:14:38,300 --> 00:14:49,390
659
+ ู„ูŠ ุงู„ YW primeุฒุงุฆุฏ ุงุฑุจุนุฉ y ูŠุณุงูˆูŠ sin t ู†ุงู‚ุต u
660
+
661
+ 166
662
+ 00:14:49,390 --> 00:15:00,550
663
+ ุงุชู†ูŠู† by as a function of t ููŠ sin t ู†ุงู‚ุต ุงุชู†ูŠู† by
664
+
665
+ 167
666
+ 00:15:00,550 --> 00:15:06,690
667
+ ุงุชู†ูŠู† by ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ุชู…ุงู… ูˆ ู‚ุงู„ ู„ูŠ ุงู† ุงู„
668
+
669
+ 168
670
+ 00:15:06,690 --> 00:15:14,020
671
+ y ุนู†ุฏ ุงู„ zeroุจุฏุง ุชุณุงูˆูŠ Y' ุนู†ุฏ ุงู„ู€ Zero ุจุฏุง ุชุณุงูˆูŠ
672
+
673
+ 169
674
+ 00:15:14,020 --> 00:15:20,120
675
+ ู…ู†ุŸ ุจุฏุง ุชุณุงูˆูŠ Zero ูƒูˆูŠุณ ูŠุจู‚ู‰ ุงู„ุชูƒุชูŠูƒ ุงู„ู„ูŠ ุจุฏุฃุช
676
+
677
+ 170
678
+ 00:15:20,120 --> 00:15:23,940
679
+ ุจุชุงูˆูŠ ุจุฏุฃ ุจุฏุงุจูˆ ู…ุนู†ุงู‡ ุงู†ุช ุจุชุฑูˆุญ ุงุฎุฏ main ู„ plus
680
+
681
+ 171
682
+ 00:15:23,940 --> 00:15:27,800
683
+ transform ู„ู„ุทุฑููŠู† ุจุณ ู…ุด ู…ุญุชุงุฌ ู‡ุฐู‡ ุฃู„ุนุจ ููŠ ุดูƒู„
684
+
685
+ 172
686
+ 00:15:28,070 --> 00:15:33,510
687
+ ุงู„ู…ุนุงุฏู„ุฉ ู„ุฅู†ู‡ ุฌุงู‡ุฒุฉ ูˆุฎุงู„ุตุฉ ุชู…ุงู… ูŠุจู‚ู‰ ุจุงุฌูŠ ุจูŠู‚ูˆู„ ู„ู‡
688
+
689
+ 173
690
+ 00:15:33,510 --> 00:15:38,850
691
+ Laplace transform ู„ู„ Y double prime ุฒุงุฆุฏ ุฃุฑุจุนุฉ
692
+
693
+ 174
694
+ 00:15:38,850 --> 00:15:44,650
695
+ Laplace transform ู„ู„ Y ุจุฏูŠุณุงูˆูŠ Laplace transform
696
+
697
+ 175
698
+ 00:15:44,650 --> 00:15:52,330
699
+ ู„ู„ side T ู†ุงู‚ุต Laplace transform ู„ U ุงุชู†ูŠู† by as a
700
+
701
+ 176
702
+ 00:15:52,330 --> 00:16:01,480
703
+ function of T ููŠ ุงู„ sideุช ู†ุงู‚ุต ุงุชู†ูŠู† ุจุงู‚ูŠ ุงู„ุดูƒู„
704
+
705
+ 177
706
+ 00:16:01,480 --> 00:16:08,820
707
+ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐุง ูˆู‡ูŠู‚ูู„ู†ุง ุทูŠุจ ู‡ุฐุง ุจู†ุงุช ู„ S square
708
+
709
+ 178
710
+ 00:16:08,820 --> 00:16:16,220
711
+ capital Y of S ู†ุงู‚ุต S ููŠ ุงู„ Y ุนู†ุฏ ุงู„ zero ู†ุงู‚ุต Y
712
+
713
+ 179
714
+ 00:16:16,220 --> 00:16:22,600
715
+ prime ุนู†ุฏ ุงู„ zero ุฒุงุฆุฏ ุงุฑุจุนุฉ capital Y of S ูŠุณุงูˆูŠ
716
+
717
+ 180
718
+ 00:16:23,490 --> 00:16:29,350
719
+ ุจุฏุง ูŠุฌูŠ ู„ู€ plus ู„ู€ sin T ุชูˆุณุนู‡ุง ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุฌุฏุงุด
720
+
721
+ 181
722
+ 00:16:29,350 --> 00:16:37,050
723
+ ูˆุงุญุฏ ุนู„ู‰ ุงุณุชุฑ ุจูŠู‡ ุฒุงุฆุฏ ูˆุงุญุฏุชู…ุงู…ุŸ ู†ุงู‚ุต ู„ plus
724
+
725
+ 182
726
+ 00:16:37,050 --> 00:16:44,770
727
+ transform ู„ U ุงุชู†ูŠู† by T sine T ูŠุนู†ูŠ E ุฃูุณ ู†ุงู‚ุต
728
+
729
+ 183
730
+ 00:16:44,770 --> 00:16:52,730
731
+ ุงุชู†ูŠู† by S ููŠ ุงู„ plus ู„ sine TุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ุงู„ู„ูŠ
732
+
733
+ 184
734
+ 00:16:52,730 --> 00:17:01,120
735
+ ู‡ูˆ ุฌุฏุงุด ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ ุนู„ู‰ S ุชุฑุจูŠู‡ ุฒุงุฆุฏ ูˆุงุญุฏู‡ุฐุง ูŠ๏ฟฝ๏ฟฝู†ูŠ
736
+
737
+ 185
738
+ 00:17:01,120 --> 00:17:06,500
739
+ ุงู† ุงู†ุง ู…ุฑุฉ ุชุงู†ูŠุฉ ู…ู† ู†ุธุฑูŠุฉ ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงู„ู†ู‚ุทุฉ
740
+
741
+ 186
742
+ 00:17:06,500 --> 00:17:11,400
743
+ ุงู„ุฃูˆู„ู‰ ููŠู‡ุง ุจู‚ุฏุฑ ุงู‚ูˆู„ E ุฃุณ ู†ู‚ุต ุงุชู†ูŠู† by S ูุงู‡ู…ูŠู†ุŸ
744
+
745
+ 187
746
+ 00:17:11,400 --> 00:17:14,980
747
+ ูˆุงุญุฏุฉ ู„ุงุณุชุฑ ุจูŠู‡ุฐุง ุทูŠุจ ุงู†ุง ู…ุด ู…ุฐุงูƒุฑ ุงู„ู†ุธุฑูŠุฉ ุงู„ู…ุฑุฉ
748
+
749
+ 188
750
+ 00:17:14,980 --> 00:17:20,640
751
+ ุงู„ู„ูŠ ูุงุชุชู„ูƒู† ุจูŠู† ุฅูŠุฏูŠู…ูŠู† ุงู„ุฌุฏูˆู„ ู‡ู„ ุจู†ู‚ุฏุฑ ู†ุทู„ุนู‡ุง ู…ู†
752
+
753
+ 189
754
+ 00:17:20,640 --> 00:17:26,280
755
+ ุงู„ุฌุฏูˆู„ ูˆู„ุง ู„ุฃ ุฅุฐุง ุจุงุฏุฑ ุฃุฑูˆุญ ุฃุฏูˆุฑ ุนู„ู‰ U C of T Sine
756
+
757
+ 190
758
+ 00:17:26,280 --> 00:17:32,780
759
+ T ู†ุงู‚ุต ุงู„ C ูุงู„ู„ูŠ ุนุงุฑููŠู† ุงู„ู„ูŠ ู‡ูŠ ุชู„ุชุงุด ู…ุธุจูˆุท ุชู„ุชุงุด
760
+
761
+ 191
762
+ 00:17:32,780 --> 00:17:39,420
763
+ ุฅูŠุด ุจุชู‚ูˆู„ U C of T ูุงู„ F of T ู†ุงู‚ุต ุงู„ C ุจู‚ุฏุฑ ู†ุทุจู‚
764
+
765
+ 192
766
+ 00:17:39,420 --> 00:17:42,700
767
+ ุนู„ู‰ ุงู„ Sine ูˆ ุงู„ Cos ูˆ ุงู„ T ูˆ ู…ูŠู† ู…ุง ูƒุงู†ุช ุชูƒูˆู† ุฃูŠ
768
+
769
+ 193
770
+ 00:17:42,700 --> 00:17:47,390
771
+ ุฏุงู„ุฉู…ุธุจูˆุท ูŠุจู‚ู‰ Laplace transform ู„ู‡ุง ุนู„ู‰ ุงู„ุดุฌุฉ
772
+
773
+ 194
774
+ 00:17:47,390 --> 00:17:53,290
775
+ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ EOS ู†ุงู‚ุต CS ููŠ capital F of S ุงู„ู„ูŠ
776
+
777
+ 195
778
+ 00:17:53,290 --> 00:17:58,070
779
+ ุฑู‚ู… ุชู„ุชุงุดุฑ ูŠุจู‚ู‰ ู†ุงู‚ุต ูŠุจู‚ู‰ ู…ุด ู„ุงุฒู… ุงู† ุงุถุงูŠู‚ ุงู„ู…ุฑุฉ
780
+
781
+ 196
782
+ 00:17:58,070 --> 00:18:01,390
783
+ ุงู„ู„ูŠ ูุงุชุช ู„ุฃู†ู‡ ุตุงุฑุช ู…ูˆุฌูˆุฏุฉ ูˆูŠู† ุนู†ุฏูŠ ููŠ ุงู„ุฌุฏูˆู„ ุงุฐุง
784
+
785
+ 197
786
+ 00:18:01,390 --> 00:18:07,590
787
+ ุจุฌูŠุจู‡ุง ู…ู† ุงู„ุฌุฏูˆู„ ู‡ูŠู‚ูˆู„ู†ุง EOS ู†ุงู‚ุต ุงุชู†ูŠู† by S ููŠ
788
+
789
+ 198
790
+ 00:18:07,590 --> 00:18:11,690
791
+ capital F of S ูŠุนู†ูŠ Laplace ู„ู„ function ุงู„ู„ูŠ ุนู†ุฏูŠ
792
+
793
+ 199
794
+ 00:18:11,880 --> 00:18:16,620
795
+ ุงู„ูู†ูƒุดู† ุงู„ูŠู…ูŠู† ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ sin t ูŠุนู†ูŠ ู„ุจู„ุงุณ ู„ sin
796
+
797
+ 200
798
+ 00:18:16,620 --> 00:18:20,520
799
+ t ูˆุงู†ุณู‰ ู…ูˆุถูˆุน ุงู„ shift ูŠุจู‚ู‰ ู„ุจู„ุงุณ ู„ sin t ู‡ูˆ ูˆุงุญุฏ
800
+
801
+ 201
802
+ 00:18:20,520 --> 00:18:25,020
803
+ ุนู„ู‰ ุงุณ ุชุฑุจูŠุฉ ุฒุงุฆุฏ ูˆุงุญุฏ ูŠุจู‚ู‰ ุฃุฎุฏู†ุง ู„ุจู„ุงุณ ู„ู„ุทุฑููŠู†
804
+
805
+ 202
806
+ 00:18:25,020 --> 00:18:30,260
807
+ ุถุงู„ ุงู„ุดุบู„ ุงู„ู„ูŠ ุจุนุฏ ู‡ูŠ ุดุบู„ ุฑูˆุชูŠู†ูŠ ุจุฏู†ุง ู†ุฑูˆุญ ู†ุดุชุบู„
808
+
809
+ 203
810
+ 00:18:30,260 --> 00:18:34,540
811
+ ู‡ุฐุง ุงู„ุดุบู„ ุงู„ุฑูˆุชูŠู†ูŠ ูˆู†ุดูˆู ุจุฏู†ุง ู†ูˆุตู„ ู„ูˆูŠู†
812
+
813
+ 204
814
+ 00:18:51,160 --> 00:18:56,200
815
+ ุทูŠุจ ุงู„ุงู† y ุนู†ุฏ ุงู„ zero ุจ zero ูˆ y prime ุจ zero
816
+
817
+ 205
818
+ 00:18:56,200 --> 00:19:01,790
819
+ ูŠุจู‚ู‰ ู‡ุฏูˆู„ ุงู„ู„ู‡ ูŠุณู‡ู„ ุนู„ูŠู‡ู…ูŠุจู‚ู‰ ุจุทูˆู„ุฉ ุนู† ุฏู…ูŠู† S2
820
+
821
+ 206
822
+ 00:19:01,790 --> 00:19:10,490
823
+ plus 4 ููŠ capital Y of S ุจุฏู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ S2
824
+
825
+ 207
826
+ 00:19:10,490 --> 00:19:19,510
827
+ ุฒุงุฆุฏ ูˆุงุญุฏ ู†ุงู‚ุต E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† by S ููŠ ูˆุงุญุฏ ุนู„ู‰ S2
828
+
829
+ 208
830
+ 00:19:19,510 --> 00:19:26,190
831
+ ุฒุงุฆุฏ ุงู„ูˆุงุญุฏุฃู†ุง ุจุฏูŠ ุงู„ู„ูŠ ู‡ูˆ Laplace ู„ู„ุญู„ ูŠุจู‚ู‰ ุจุฏูŠ
832
+
833
+ 209
834
+ 00:19:26,190 --> 00:19:31,530
835
+ capital Y of S ูŠุจู‚ู‰ ู‡ุงูŠ capital Y of S ู„ุญุงู„ู‡ุง
836
+
837
+ 210
838
+ 00:19:31,530 --> 00:19:36,350
839
+ ู…ุนู†ุงุชู‡ ุจุฏูŠ ุฃู‚ุณู… ุงู„ุทุฑููŠู† ุนู„ู‰ ู…ูŠู† ุนู„ู‰ S square plus
840
+
841
+ 211
842
+ 00:19:36,350 --> 00:19:45,040
843
+ four ูŠุจู‚ู‰ ู‡ุฐู‡ ุจุฏูŠ ุชุณุงูˆูŠ ูˆุงุญุฏุนู„ู‰ sยฒ plus one ููŠ sยฒ
844
+
845
+ 212
846
+ 00:19:45,040 --> 00:19:54,060
847
+ plus four ู†ุงู‚ุต EOS ู†ุงู‚ุต ุงุชู†ูŠู† by S ููŠ ูˆุงุญุฏ ุนู„ู‰ sยฒ
848
+
849
+ 213
850
+ 00:19:54,060 --> 00:19:58,120
851
+ plus one ููŠ sยฒ plus four
852
+
853
+ 214
854
+ 00:20:06,710 --> 00:20:12,850
855
+ ู„ุฐู„ูƒ ุณู†ุถุทุฑ ุฅู„ู‰ ุนู…ู„ partial fraction ู„ู…ู‡ู… ู„ู„ูƒุงุณุฑ
856
+
857
+ 215
858
+ 00:20:12,850 --> 00:20:17,430
859
+ ุงู„ู„ู‰ ุนู†ุฏู†ุง ู‡ุฐุง ูˆู†ุดูˆู ูˆูŠู† ุจุฏู‡ ูŠูˆุตู„ู†ุงุฅุฐุง ู„ูˆ ุฌูŠุช
860
+
861
+ 216
862
+ 00:20:17,430 --> 00:20:25,270
863
+ ู„ู„ูˆุงุญุฏ ุนู„ู‰ Sยฒ plus one ููŠ Sยฒ plus four ูŠุจู‚ู‰ ู‡ุฐุง
864
+
865
+ 217
866
+ 00:20:25,270 --> 00:20:33,050
867
+ ุงู„ูƒู„ุงู… ุจุฏู‡ ูŠุณุงูˆูŠ ู‡ุฐุง ุงู„ Sยฒ plus one ูˆู‡ู†ุง ุงู„ Sยฒ
868
+
869
+ 218
870
+ 00:20:33,050 --> 00:20:39,750
871
+ plus four ูŠุนู†ูŠ ุงู„ู…ู‚ุงู… ู‡ุฐุง ู„ุง ูŠู…ูƒู† ุชุญู„ูŠู„ู‡ ุฃูƒุซุฑ ู…ู†
872
+
873
+ 219
874
+ 00:20:39,750 --> 00:20:44,780
875
+ ุฐู„ูƒู‡ุฐู‡ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุซุงู†ูŠุฉุŒ ุฅุฐุง ุจุฏูŠ ุฃุถุน
876
+
877
+ 220
878
+ 00:20:44,780 --> 00:20:50,120
879
+ ุงู„ุจุตุฏ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ุŒ ูŠุจู‚ู‰ ุจุฑูˆุญ ุจู‚ูˆู„ู‡
880
+
881
+ 221
882
+ 00:20:50,120 --> 00:20:55,940
883
+ AS ุฒุงุฆุฏ B ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉุŒ ู‡ุฐู‡ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุชุงู†ูŠุฉุŒ ุจุฏูŠ
884
+
885
+ 222
886
+ 00:20:55,940 --> 00:21:04,380
887
+ ุฃุถุน ุงู„ุจุตุฏ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ุŒ ูŠุจู‚ู‰ CS ุฒุงุฆุฏ Dุจุนุฏ ุฐู„ูƒ
888
+
889
+ 223
890
+ 00:21:04,380 --> 00:21:09,380
891
+ ุงุถุฑุจ ุงู„ุทุฑููŠู† ููŠ ุงู„ู…ู‚ุงู… ุงู„ู„ู‰ ุนู†ุฏู‡ุง ุฏู‡ ุนุดุงู† ู†ุชุฎู„ุต ู…ู†
892
+
893
+ 224
894
+ 00:21:09,380 --> 00:21:17,000
895
+ ุฌุฒุก ุงู„ูƒุซูˆุฑ ุจุงู„ู…ุฑุฉ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุนู†ุฏู‰ 1 ูŠุณุงูˆูŠ AS ุฒุงุฆุฏ
896
+
897
+ 225
898
+ 00:21:17,000 --> 00:21:24,280
899
+ B ููŠ S square plus 4ุชู…ุงู… ู‡ุฐุง ุงู„ term ุงู„ุฃูˆู„ ุงู„ term
900
+
901
+ 226
902
+ 00:21:24,280 --> 00:21:32,220
903
+ ุงู„ุชุงู†ูŠ ุฒุงุฆุฏ CS ุฒุงุฆุฏ D ููŠ ู…ู† ููŠ ุงู„ S square plus
904
+
905
+ 227
906
+ 00:21:32,220 --> 00:21:38,900
907
+ one ูŠุจู‚ู‰ ู‡ุงูŠ ุถุฑุจุฉ ุงู„ุซู„ุงุซุฉ ุฃุทุฑุงู ุฃูˆ ุงู„ุซู„ุงุซุฉ ู…ู‚ุงุฏูŠุฑ
908
+
909
+ 228
910
+ 00:21:38,900 --> 00:21:43,520
911
+ ููŠ ู…ู† ููŠ ุงู„ S square plus one ุฒุงุฆุฏ S square plus
912
+
913
+ 229
914
+ 00:21:43,520 --> 00:21:51,100
915
+ four ู‡ุฐุง ู„ูˆ ุฌูŠุช ููƒุชู‡ูŠุจู‚ู‰ ูˆุงุญุฏ ุจุฏูŠ ูŠุณุงูˆูŠ AS ุชูƒูŠูŠุจ
916
+
917
+ 230
918
+ 00:21:51,100 --> 00:22:02,440
919
+ ุฒุงุฆุฏ 4AS ุฒุงุฆุฏ BS ุชุฑุจูŠุน ุฒุงุฆุฏ 4B ุงู„ู„ูŠ ุนู…ู„ุชู‡ ู„ู„ุฌุซูŠู†
920
+
921
+ 231
922
+ 00:22:02,440 --> 00:22:06,550
923
+ ุงู„ู„ูŠ ููŠ ุงู„ุฃูˆู„ ุจุฏูŠ ุงุนู…ู„ู‡ ู„ู„ุฌุซูŠู† ุงู„ุชุงู†ูŠุฉูŠุจู‚ู‰
924
+
925
+ 232
926
+ 00:22:06,550 --> 00:22:20,850
927
+ ุงู„ู…ุนุงุฏู„ุฉ
928
+
929
+ 233
930
+ 00:22:20,850 --> 00:22:26,780
931
+ ุตุงุฑุช ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ูˆุงุญุฏ ุตุญูŠุญ ุจุฏู‡ ูŠุณุงูˆูŠุจุฏุง ุงุฌูŠุจ
932
+
933
+ 234
934
+ 00:22:26,780 --> 00:22:33,300
935
+ ุงู„ู„ูŠ ููŠู‡ู… ุงุณุชูƒุนูŠุจ ู…ุน ุจุนุถ ู‡ุฐู‡ ูˆู‡ุฐู‡ ูŠุจู‚ู‰ ุงู„ a ุฒุงุฆุฏ c
936
+
937
+ 235
938
+ 00:22:33,300 --> 00:22:40,960
939
+ ุงู„ a ุฒุงุฆุฏ c ุงู„ุงุณุชูƒุนูŠุจ ุชู…ุงู…ุŸ ุจุฏุง ุงุฌูŠุจ ุงู„ู„ูŠ ููŠู‡ู…
940
+
941
+ 236
942
+ 00:22:40,960 --> 00:22:48,850
943
+ ุงุณุชุฑุจูŠุน ุงุณุชุฑุจูŠุน ู„ู‡ู… ู…ูŠู†ุŸ b ุฒุงุฆุฏ dูŠุจู‚ู‰ ุฒุงุฆุฏ ุงู„ B
944
+
945
+ 237
946
+ 00:22:48,850 --> 00:22:56,630
947
+ ุฒุงุฆุฏ ุงู„ D ููŠ ุงู„ S ุชุฑุจูŠุน ุจุชุฏูˆุฑ ุงู„ V ู…ู† ุงู„ S ูŠุจู‚ู‰ 4A
948
+
949
+ 238
950
+ 00:22:56,630 --> 00:23:08,070
951
+ ุฒุงุฆุฏ C ุฒุงุฆุฏ 4A ุฒุงุฆุฏ C ูƒู„ู‡ ู‡ุฏู ู…ู† ุงู„ S ู…ุด ุถุงูŠู„ ุนู†ุฏูŠ
952
+
953
+ 239
954
+ 00:23:08,070 --> 00:23:18,100
955
+ ุฅู„ุง ุงู„ุซูˆุงุจุช ูŠุจู‚ู‰ 4B ุฒุงุฆุฏ DูŠุจู‚ู‰ ุฒุงุฆุฏ 4B ุฒุงุฆุฏ D
956
+
957
+ 240
958
+ 00:23:18,100 --> 00:23:23,120
959
+ ุจุงู„ุดูƒู„ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ู†ุง ุจุฏู†ุง ู†ุจุฏุฃ ู†ู‚ุงุฑู† ุงู„ู…ุนุงู…ู„ุงุช ููŠ
960
+
961
+ 241
962
+ 00:23:23,120 --> 00:23:28,360
963
+ ุงู„ุทุฑููŠู† ูŠุจู‚ู‰ ู„ูˆ ู‚ุงุฑู†ู†ุง ุจูŠุตูŠุฑ ุงู„ A ุฒุงุฆุฏ C ูƒุฏู‡
964
+
965
+ 242
966
+ 00:23:28,360 --> 00:23:34,870
967
+ ุดุจู†ุงุชุŸู„ุฅู† ู…ุงุนู†ุฏูŠุด ุงุณุชูƒุงุจุฉ ู„ู„ุดู‚ุฉ ุงู„ุชุงู†ูŠุฉ ูˆ B ุฒุงุฆุฏ D
968
+
969
+ 243
970
+ 00:23:34,870 --> 00:23:41,870
971
+ ูƒู…ุงู† ุจุฏู‡ ูŠุณุงูˆูŠ Zero ูˆุงู„ุงุฑุจุนุฉ A ุฒุงุฆุฏ C ูƒู…ุงู† ุจุฏู‡
972
+
973
+ 244
974
+ 00:23:41,870 --> 00:23:48,590
975
+ ูŠุณุงูˆูŠ Zero ูˆุงู„ุงุฑุจุนุฉ B ุฒุงุฆุฏ D ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด ูˆุงุญุฏ
976
+
977
+ 245
978
+ 00:23:48,590 --> 00:23:55,170
979
+ ุตุญูŠุญู„ุงุญุธูˆุง ุงู„ุฃูˆู„ู‰ ู…ุน ุงู„ุชุงู„ุชุฉ ุจุชู†ุญู„ ูˆุงู„ุชุงู†ูŠุฉ ู…ุน
980
+
981
+ 246
982
+ 00:23:55,170 --> 00:24:00,710
983
+ ุงู„ุฑุงุจุนุฉ ุจุชู†ุญู„ ุงุฐุง ุงู†ุง ู„ูˆ ุฌูŠุช ุงู„ู…ุนุงุฏู„ุฉ ุฏุฑุจุชู‡ุง ููŠ
984
+
985
+ 247
986
+ 00:24:00,710 --> 00:24:06,660
987
+ ุณุงู„ุจ ูˆุงุญุฏ ุจุตูŠุฑ ุณุงู„ุจ a ุณุงู„ุจ c ุจุฏู‡ ุณุงูˆูŠ zeroู‡ุฐู‡
988
+
989
+ 248
990
+ 00:24:06,660 --> 00:24:12,880
991
+ ู‡ุทู„ุนู‡ุง ุนู†ุฏู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงุฑุจุนุฉ A ุฒุงุฆุฏ ุงู„ C ูŠุณุงูˆูŠ
992
+
993
+ 249
994
+ 00:24:12,880 --> 00:24:19,160
995
+ Zero ู„ูˆ ุฌู…ุนุช ุจุฑูˆุญู‡ ู‡ุฏูˆู„ ูŠุจู‚ู‰ ู‡ุฐุง ุจุฏู‡ ูŠุนุทูŠูƒ ุงู†ู‡
996
+
997
+ 250
998
+ 00:24:19,160 --> 00:24:25,240
999
+ ุชู„ุงุชุฉ A ุจุฏู‡ ูŠุณุงูˆูŠ Zero ูŠุจู‚ู‰ ุงู„ A ุจุฏู‡ ุชุณุงูˆูŠ Zero
1000
+
1001
+ 251
1002
+ 00:24:25,240 --> 00:24:30,820
1003
+ ู„ู…ุง ุงู„ A ุชุณุงูˆูŠ Zero ูŠุจู‚ู‰ ุงู„ C ุจุฏู‡ ูŠุณุงูˆูŠ Zero ูŠุจู‚ู‰
1004
+
1005
+ 252
1006
+ 00:24:30,820 --> 00:24:38,810
1007
+ and ุงู„ C ุชุณุงูˆูŠ Zeroู…ู…ุชุงุฒ ุฌุฏุง ุทูŠุจ ู‡ุฐู‡ ุงู„ุงู† ุจุฏูŠ
1008
+
1009
+ 253
1010
+ 00:24:38,810 --> 00:24:43,770
1011
+ ุงุถุฑุจู‡ุง ููŠ ุณุงู„ู ูŠุจู‚ู‰ ุงูŠุด ุจูŠุตูŠุฑ ุณุงู„ู ุจูŠ ุณุงู„ู ุฏูŠ
1012
+
1013
+ 254
1014
+ 00:24:43,770 --> 00:24:49,450
1015
+ ูŠุณุงูˆูŠ ุฒูŠุฑูˆ ู‡ุฐู‡ ุจุฏูŠ ุงุฎู„ูŠู‡ุง ุฒูŠ ู…ุง ู‡ูŠ ุงุฑุจุนุฉ ุจูŠ ุฒุงุฆุฏ
1016
+
1017
+ 255
1018
+ 00:24:49,450 --> 00:24:54,510
1019
+ ุฏูŠ ูŠุณุงูˆูŠ ูˆุงุญุฏ ูˆุงุฑูˆุญ ุงุฌู…ุน ุงุชู†ูŠู† ู‡ุฏูˆู„ ู…ุน ุงู„ุณู„ุงู…ุฉ
1020
+
1021
+ 256
1022
+ 00:24:54,510 --> 00:25:00,290
1023
+ ูŠุจู‚ู‰ ู…ู† ุงู„ุงุชู†ูŠู† ู‡ุฏูˆู„ ุจู‚ุฏุฑ ุงุณุชู†ุชุฌ ุงู†ู‡ ุชู„ุงุชุฉ ุจูŠ
1024
+
1025
+ 257
1026
+ 00:25:00,290 --> 00:25:07,260
1027
+ ูŠุณุงูˆูŠ ูˆุงุญุฏ ูŠุจู‚ู‰ ุงู„ุจูŠ ูŠุณุงูˆูŠ ู‚ุฏุฑ ุทูˆู„ู„ูˆ ูƒุงู†ุช B ุจุชู„ุช
1028
+
1029
+ 258
1030
+ 00:25:07,260 --> 00:25:15,940
1031
+ ูŠุจู‚ู‰ D ุจุณุงู„ุจ ุชู„ุช and ุงู„ D ุชุณุงูˆูŠ ุณุงู„ุจ ุชู„ุช ูŠุจู‚ู‰
1032
+
1033
+ 259
1034
+ 00:25:15,940 --> 00:25:22,460
1035
+ ุฌุจุชู„ู‡ ุดูƒู„ ุงู„ุฃุฑุจุน ุซูˆุงุจุช ูŠุจู‚ู‰ ุจู†ุงุก ุนู† ุงู„ูŠุณุงุฑ ุนู†ุฏูŠ
1036
+
1037
+ 260
1038
+ 00:25:22,460 --> 00:25:30,020
1039
+ ูˆุงุญุฏ ุนู„ู‰ S square ุฒุงุฆุฏ ูˆุงุญุฏ S square ุฒุงุฆุฏ ุฃุฑุจุน
1040
+
1041
+ 261
1042
+ 00:25:30,020 --> 00:25:36,240
1043
+ ูŠุณุงูˆูŠุงู„ู€ A ุนู†ุฏูŠ ุจุชู„ุช ู…ุด ู‡ูŠูƒ ุงู„ A ุจ Zero ุงู‡ ุฑุงุญ ู…ุน
1044
+
1045
+ 262
1046
+ 00:25:36,240 --> 00:25:41,700
1047
+ ุงู„ุณู„ุงู…ุฉ ูˆ ุงู„ B ู‡ูŠ ุงู„ู„ูŠ ุจุชู„ุช ูŠุจู‚ู‰ ูŠุง ุชู„ุช ุฎู„ูŠูƒ ุจุฑุง
1048
+
1049
+ 263
1050
+ 00:25:41,700 --> 00:25:48,720
1051
+ ููŠ ูˆุงุญุฏ ุนู„ู‰ S Square ุฒุงุฆุฏ ูˆุงุญุฏ ูˆ ุงู„ C ุจ Zero ูƒู…ุงู†
1052
+
1053
+ 264
1054
+ 00:25:48,720 --> 00:25:56,400
1055
+ ู…ุน ุงู„ุณู„ุงู…ุฉ ุฏูŠ ุจุณุงู„ุจ ุชู„ุช ูŠุจู‚ู‰ ุณุงู„ุจ ุชู„ุช ููŠ ูˆุงุญุฏ ุนู„ู‰
1056
+
1057
+ 265
1058
+ 00:25:56,400 --> 00:26:03,360
1059
+ S Square ุฒุงุฆุฏ ุฃุฑุจุน ุชู…ุงู…ุŸู‡ุฐุง ุงู„ partial fraction
1060
+
1061
+ 266
1062
+ 00:26:03,360 --> 00:26:08,480
1063
+ ุงู„ู„ู‰ ุนู†ุฏู†ุง ุงุฐุง ุจุฏู‰ ุงุฑูˆุญ ู„ู‡ ุดูƒู„ capital Y of S ุงูŠุด
1064
+
1065
+ 267
1066
+ 00:26:08,480 --> 00:26:14,060
1067
+ ุจุฏู‰ ูŠูƒูˆู† ุดูƒู„ู‡ุง ูŠุจู‚ู‰ ุจู†ุงุก ุนู„ูŠู‡ ูŠุง ุจู†ุงุช capital Y of
1068
+
1069
+ 268
1070
+ 00:26:14,060 --> 00:26:19,920
1071
+ S ุจุฏู‡ ูŠุณุงูˆูŠ ู‡ุฐุง ุงู„ partial fraction ุงู„ู„ู‰ ุฌุงู‡ุฒูŠุจู‚ู‰
1072
+
1073
+ 269
1074
+ 00:26:19,920 --> 00:26:27,500
1075
+ ู‡ุฐุง ุชู„ุช ููŠ ูˆุงุญุฏ ุนู„ู‰ ุงุณ square ุฒุงุฆุฏ ูˆุงุญุฏ ู†ุงู‚ุต ุชู„ุช
1076
+
1077
+ 270
1078
+ 00:26:27,500 --> 00:26:35,700
1079
+ ููŠ ูˆุงุญุฏ ุนู„ู‰ ุงุณ square ุฒุงุฆุฏ ุฃุฑุจุน ุชู…ุงู… ุฎู„ุตู†ุง ู…ู†ู‡ ู‡ุฐุง
1080
+
1081
+ 271
1082
+ 00:26:35,700 --> 00:26:41,070
1083
+ ุฎู„ุตู†ุง ู…ู† ุงู„ุชุฑู… ุงู„ุฃูˆู„ ุจุฏู†ุง ู†ูŠุฌูŠ ู„ู„ุช๏ฟฝ๏ฟฝู… ุงู„ุซุงู†ูŠูŠุจู‚ู‰
1084
+
1085
+ 272
1086
+ 00:26:41,070 --> 00:26:50,090
1087
+ ุนู†ุฏูƒ ู†ุงู‚ุต ุจุตูŠุฑ ุงู„ู†ุงู‚ุต ุชู„ุช ููŠ E ุฃุณ ุณุงู„ุจ ุงุชู†ูŠู† by S
1088
+
1089
+ 273
1090
+ 00:26:50,090 --> 00:26:54,030
1091
+ ูˆูƒู„
1092
+
1093
+ 274
1094
+ 00:26:54,030 --> 00:26:56,990
1095
+ ู‡ุฐุง ููŠ ูˆุงุญุฏ
1096
+
1097
+ 275
1098
+ 00:26:59,820 --> 00:27:08,160
1099
+ ู†ู‚ุต ู…ุน ู†ู‚ุต ุจูŠุตูŠุฑ ุงู„ุฐุงุฆุฏ ูŠู‚ุต ู†ู‚ุต ุงุชู†ูŠู† by ุงุณ ูˆู‡ุฐู‡
1100
+
1101
+ 276
1102
+ 00:27:08,160 --> 00:27:13,280
1103
+ ูˆุงุญุฏ ุนู„ู‰ ุงุณ square ุฒุงุฆุฏ ุงุฑุจุนุฉ
1104
+
1105
+ 277
1106
+ 00:27:16,700 --> 00:27:25,580
1107
+ ู‡ุฐู‡ ุณูˆู ู†ุฒู„ู‡ุง ูƒู…ุง ู‡ูŠ ูˆู‡ุฐู‡ ุงูŠุถุง ุงุฑุจุนุฉ ูุงู†ุง ุงุฑูŠุฏ ููˆู‚
1108
+
1109
+ 278
1110
+ 00:27:25,580 --> 00:27:30,100
1111
+ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงู†ุง ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงู†ุง ุงุฑูŠุฏ ููˆู‚
1112
+
1113
+ 279
1114
+ 00:27:30,100 --> 00:27:30,100
1115
+ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงู†ุง ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงู†ุง ุงุฑูŠุฏ ููˆู‚
1116
+
1117
+ 280
1118
+ 00:27:30,100 --> 00:27:31,860
1119
+ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงู†ุง ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู†
1120
+
1121
+ 281
1122
+ 00:27:31,860 --> 00:27:34,280
1123
+ ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ
1124
+
1125
+ 282
1126
+ 00:27:34,280 --> 00:27:34,280
1127
+ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู†
1128
+
1129
+ 283
1130
+ 00:27:34,280 --> 00:27:35,620
1131
+ ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ
1132
+
1133
+ 284
1134
+ 00:27:35,620 --> 00:27:41,760
1135
+ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฐู‡ ุงุฑูŠุฏ
1136
+
1137
+ 285
1138
+ 00:27:41,760 --> 00:27:49,950
1139
+ ููˆู‚ ุงุชู†ูŠู† ูู‡ุฃุนู„ู‰ S ุชุฑุจูŠุน ุฒุงุฆุฏ A ุชุฑุจูŠุน ู‡ุฐูŠ ุจุชุจู‚ู‰
1140
+
1141
+ 286
1142
+ 00:27:49,950 --> 00:27:56,610
1143
+ ู…ุฑุจุน ู…ู† ุงู„ู„ูŠ ููˆู‚ ู‡ุฐูŠ ู…ุงููŠู‡ุง ู…ุดูƒู„ุฉ E ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู†
1144
+
1145
+ 287
1146
+ 00:27:56,610 --> 00:28:03,590
1147
+ by S ูˆุงุญุฏ ุนู„ู‰ S square ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ู‡ู†ุง ุชู„ุช ูŠุง
1148
+
1149
+ 288
1150
+ 00:28:03,590 --> 00:28:10,020
1151
+ ุจู†ุงุชู‡ู†ุง ุทูˆู„ ูŠุจู‚ู‰ ู‡ู†ุง ูƒู…ุงู† ุจุฏูŠ ุงุถุบุท ููŠ ุงุชู†ูŠู† ูˆ ุงุฌุณู…
1152
+
1153
+ 289
1154
+ 00:28:10,020 --> 00:28:17,160
1155
+ ุนู„ู‰ ุงุชู†ูŠู† ูŠุจู‚ู‰ ุจูŠุตูŠุฑ ุจุงู„ุดูƒู„ ู‡ุฐุง ุฒุงุฆุฏ ุณูุฏุณ E ุฃุณ
1156
+
1157
+ 290
1158
+ 00:28:17,160 --> 00:28:24,780
1159
+ ู†ุงู‚ุต ุงุชู†ูŠู† by S ููŠ ุงู„ุงุชู†ูŠู† ุนู„ู‰ S square ุฒุงุฆุฏ ุงุฑุจุนุฉ
1160
+
1161
+ 291
1162
+ 00:28:25,570 --> 00:28:30,870
1163
+ ุงู„ุญูŠู† ู‡ูŠูƒ ุฌุงู‡ุฒูŠู† ู‡ุฐุง ุงู„ a plus transform ู„ู…ูŠู†ุŸ
1164
+
1165
+ 292
1166
+ 00:28:30,870 --> 00:28:37,850
1167
+ ู„ู„ุญู„ ูŠุจู‚ู‰ ุจุฏูŠ ุดูƒู„ ุงู„ุญู„ ูุจุงุฌูŠ ุจู‚ูˆู„ู‡ solution ู‡ูˆ y
1168
+
1169
+ 293
1170
+ 00:28:37,850 --> 00:28:45,760
1171
+ of t ูŠุณุงูˆูŠุชู„ุช ู…ู‚ุฏุงุฑ ุซุงุจุช ู„ุจู„ุงุณ ุงู„ transfer ู„ุจู„ุงุณ
1172
+
1173
+ 294
1174
+ 00:28:45,760 --> 00:28:50,460
1175
+ inverse ู„ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู†ุŸ ุตูŠู† ุงู„ T ุชู…ุงู… ุงู„ุชู…ุงู…
1176
+
1177
+ 295
1178
+ 00:28:50,460 --> 00:29:00,060
1179
+ ูŠุจู‚ู‰ ุตูŠู† ุงู„ T ู†ุงู‚ุต ุณูุฏุณ ูˆู‡ุฐุง ู…ูŠู†ุŸ ุตูŠู† ุงุชู†ูŠู† T ูŠุจู‚ู‰
1180
+
1181
+ 296
1182
+ 00:29:00,060 --> 00:29:09,640
1183
+ ุตูŠู† ุงุชู†ูŠู† Tุฎู„ุตู†ุง ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ูˆุตู„ู†ุง ู„ู†ุงู‚ุต ุชู„ุช ู†ุฌูŠ
1184
+
1185
+ 297
1186
+ 00:29:09,640 --> 00:29:19,700
1187
+ ู„ู‡ุฐู‡ ูŠุจู‚ู‰ ู‡ุฐู‡ U ุงุชู†ูŠู† ุจุงูŠ as a function of T ููŠ ุงู„
1188
+
1189
+ 298
1190
+ 00:29:19,700 --> 00:29:27,640
1191
+ plus ู„ู‡ุฐู‡ ุงู„ูŠู…ูŠู† ุตูŠู† ุงู„ T ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ sign ุงู„ T
1192
+
1193
+ 299
1194
+ 00:29:27,640 --> 00:29:35,680
1195
+ ู†ุงู‚ุต ุงุชู†ูŠู† ุจุงูŠูŠุนู†ูŠ ู‡ุฐูŠ ู„ุงุจู„ุงุณ ุงู†ูุฑุณ ู„ู‡ุง ุจุตูŠู†ุฉ T
1196
+
1197
+ 300
1198
+ 00:29:35,680 --> 00:29:40,680
1199
+ ูˆุจู†ุนู…ู„ ู„ู‡ุง shift ุจู…ู‚ุฏุงุฑ ุงู„ C ุงู„ู„ูŠ ุนู†ุฏู‡ู…ูŠู† ุงุชู†ูŠู†
1200
+
1201
+ 301
1202
+ 00:29:40,680 --> 00:29:45,450
1203
+ ุจุงูŠู… ู…ู† ุงู„ู…ุฑุฉ ุงู„ู…ุงุถูŠุฉ ุงูˆ ู…ู† ุงู„ุฌุฏูˆู„ู…ู† ู‡ุฐุง ุงูˆ ู‡ุฐุง
1204
+
1205
+ 302
1206
+ 00:29:45,450 --> 00:29:52,170
1207
+ ุจุนุฏ ู‡ูŠูƒ ู†ูŠุฌูŠ ู‡ู†ุง ุฒุงุฆุฏ ุณูุฏุณ ูˆู‡ุฐู‡ ู‡ูŠ ู…ุนู†ุงุชู‡ ุงู„ู‡ูŠ U
1208
+
1209
+ 303
1210
+ 00:29:52,170 --> 00:30:02,150
1211
+ ุงุชู†ูŠู† ุจุงูŠ as a function of T ูˆู‡ุฐู‡ ุตูŠู† ุงุชู†ูŠู† T ู†ุงู‚ุต
1212
+
1213
+ 304
1214
+ 00:30:02,150 --> 00:30:08,210
1215
+ ุงุชู†ูŠู† ุจุงูŠ ูƒุฐู„ูƒ ุจู‡ุฐุง ุงู„ุดูƒู„ ุทูŠุจ ูŠู…ูƒู† ู„ูˆ ุฑูˆุญู†ุง ููŠ
1216
+
1217
+ 305
1218
+ 00:30:08,210 --> 00:30:10,670
1219
+ ุงู„ูƒุชุงุจ ู…ุงู†ู„ุงู‚ูŠุด ุงู„ุฅุฌุงุจุฉ ู‡ูŠูƒ
1220
+
1221
+ 306
1222
+ 00:30:17,140 --> 00:30:22,840
1223
+ ู…ุงุดูŠ ุงู„ุญุงู„ ูƒู„ุงู…ูƒ ุตุญ ุงุตุงุจุฉ ุงู…ุฑุฃุฉ ูˆุงุฎุชู‡ุง ุงู…ุฑุฃุฉ ู‡ูŠ
1224
+
1225
+ 307
1226
+ 00:30:22,840 --> 00:30:29,620
1227
+ ุงุชู†ูŠู† ูˆู‡ูŠ ุช ู†ุงู‚ุต ุงุชู†ูŠู†ูŠุจู‚ู‰ ู‡ุฐู‡ ูŠุง ุจู†ุงุช ุจุตูŠุฑ ุจุงู„ุดูƒู„
1228
+
1229
+ 308
1230
+ 00:30:29,620 --> 00:30:37,140
1231
+ ุงู„ุชุงู„ูŠ Y as a function of T ุชู„ุช ููŠ ุตูŠู†ูŠ T ู†ุงู‚ุต ุตุฏุฑ
1232
+
1233
+ 309
1234
+ 00:30:37,140 --> 00:30:44,820
1235
+ ููŠ ุตูŠู†ูŠ ุงุชู†ูŠู† T ุงูŠูˆุฉ ุงุชู†ูŠู† ููŠ ู‡ุฐู‡ ุฏูˆุฑุฉ ูƒุงู…ู„ุฉู„ู„ู€
1236
+
1237
+ 310
1238
+ 00:30:44,820 --> 00:30:49,640
1239
+ sign ุงู„ period ุชุจุนุช ุงู„ sign ูŠุจู‚ู‰ ุงู„ period ุฃุถุงูุชู‡ุง
1240
+
1241
+ 311
1242
+ 00:30:49,640 --> 00:30:55,480
1243
+ ู„ู„ุฒุงูˆูŠุฉ ูˆ ุงู„ู„ู‡ ุดูŠู„ุชู‡ุง ุจูŠุซุฑ ูˆ ุญุชู‰ ุงู„ู…ุถุงุนูุงุช ุชุจูŠุซุฑุดุŒ
1244
+
1245
+ 312
1246
+ 00:30:55,480 --> 00:30:59,900
1247
+ ุฅุฐุง ุจู†ุงุก ุนู„ูŠู‡ ู‡ุฐู‡ ู…ุตูŠุฑุฉ ู†ุงู‚ุต ุทูˆู„
1248
+
1249
+ 313
1250
+ 00:31:18,410 --> 00:31:28,230
1251
+ ูŠุจู‚ู‰ ุงู„ุฒุงุฆุฏ 6 u2 by as a function of t ู„ุตูŠู†ุฉ t
1252
+
1253
+ 314
1254
+ 00:31:28,230 --> 00:31:32,840
1255
+ ูƒุฐู„ูƒูŠุจู‚ู‰ ู‡ุฐุง ุงู„ solution ู„ู…ูŠู† ู„ู„ differential
1256
+
1257
+ 315
1258
+ 00:31:32,840 --> 00:31:37,960
1259
+ equation ู„ุญุฏ ู‡ู†ุง stop ุฅุฐุง ุงู„ section ู‡ุฐุง ูŠุนุชู…ุฏ
1260
+
1261
+ 316
1262
+ 00:31:37,960 --> 00:31:42,700
1263
+ ุงุน๏ฟฝ๏ฟฝู…ุงุฏุง ูƒู„ูŠุง ุนู„ู‰ ุงู„ section ุงู„ุณุงุจู‚ ุงู„ู„ูŠ ู‡ูˆ ุงู„ unit
1264
+
1265
+ 317
1266
+ 00:31:42,700 --> 00:31:48,880
1267
+ step function ู„ุญุฏ ู‡ู†ุง ุงู†ุชู‡ู‰ ุงู„ section ูˆุจุงู†ุชู‡ุงุก
1268
+
1269
+ 318
1270
+ 00:31:48,880 --> 00:31:56,020
1271
+ ู‡ุฐุง ุงู„ section ู†ูƒุชููŠ ูˆ ุงู„ู„ู‡ ูŠุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉุงู„ุงู†
1272
+
1273
+ 319
1274
+ 00:31:56,020 --> 00:32:01,840
1275
+ ุจุงู‚ู‰ ุงู„ู…ุญุงุถุฑุฉ ุจุฏู†ุง ู†ุญุงูˆู„ ู†ุญู„ ููŠู‡ุง ุงุญุฏ ุงู„ุงู…ุชุญุงู†ุงุช
1276
+
1277
+ 320
1278
+ 00:32:01,840 --> 00:32:09,340
1279
+ ุงู„ุณุงุจู‚ุฉ ู„ู‡ ุงู„ final exam ุทุจุนุง ุทูŠุจ ุงู„ุงู† ุจุฏู†ุง ู†ู…ุณุญ
1280
+
1281
+ 321
1282
+ 00:32:09,340 --> 00:32:14,260
1283
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ูˆ ู†ุญู„ ุงู„ุงู…ุชุญุงู† ุงู„ู„ู‰ ูˆุฒุนู†ุงู‡ ุนู„ูŠูƒู…ูˆู‡ูˆ
1284
+
1285
+ 322
1286
+ 00:32:14,260 --> 00:32:19,180
1287
+ ุงู…ุชุญุงู† ุฎุงุต ุจูŠู‡ ุดุฎุตูŠุง ู…ุงุญุฏุด ุดุงุฑูƒู†ูŠ ููŠู‡ ู†ูŠุฌูŠ ุงู„ุงู†
1288
+
1289
+ 323
1290
+ 00:32:19,180 --> 00:32:26,860
1291
+ ู„ุงู…ุชุญุงู† ู‡ุฐุง ู„ูˆ ูƒุงู† ุณู†ุฉ ุงู…ุชุญุงู† 2005 ุชู…ุงู…ุŸ ุงู…ุชุญุงู† 23
1292
+
1293
+ 324
1294
+ 00:32:26,860 --> 00:32:31,800
1295
+ -8 ูƒุงู† ุตูŠููŠ ุฒูŠ ุงู„ุตูŠู ู‡ุฐุง ุจุงู„ุถุจุท ุชู…ุงู…ุง ู‚ุจู„ ุณุจุน
1296
+
1297
+ 325
1298
+ 00:32:31,800 --> 00:32:35,800
1299
+ ุณู†ูˆุงุช ุจูŠู‚ูˆู„ you do all the following questions
1300
+
1301
+ 326
1302
+ 00:32:35,800 --> 00:32:40,480
1303
+ ูŠุนู†ูŠ ุจุฏูƒ ุชุญู„ ูƒู„ ุงู„ู…ุณุงุฆู„ ุงู„ุชุงู„ูŠุฉ ุงู„ุณุคุงู„ ุงู„ุฃูˆู„
1304
+
1305
+ 327
1306
+ 00:32:40,480 --> 00:32:45,490
1307
+ ุฎูŠุงุฑุงุช ู…ุชุนุฏุฏุฉุจุฏูŠ ุงูƒุชุจ ุงู„ุตูŠุบุฉ ุจุงุฎุชุตุงุฑ ูˆ ุงูƒุชุจ
1308
+
1309
+ 328
1310
+ 00:32:45,490 --> 00:32:51,570
1311
+ ุงู„ุฎูŠุงุฑุงุช ูˆ ุงู†ุญุฏุฏ ุงู„ู†ู‚ุทุฉ ุงู„ุงูˆู„ุฉ ุงูˆ ุงู„ุณุคุงู„ ุงู„ุงูˆู„
1312
+
1313
+ 329
1314
+ 00:32:51,570 --> 00:32:57,730
1315
+ ุงู„ู†ู‚ุทุฉ ุงู„ุงูˆู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ู†ู…ุฑุง ุงูŠู‡ ู…ุงุชูŠู†ูŠ ุจุฏู‡ ุงู„ order
1316
+
1317
+ 330
1318
+ 00:32:57,730 --> 00:33:04,030
1319
+ ofุงู„ู€ differential equation ุงู„ู„ูŠ ู‡ูŠ TY triple
1320
+
1321
+ 331
1322
+ 00:33:04,030 --> 00:33:12,410
1323
+ prime ุฒุงุฆุฏ Y double prime ูƒู„ู‡ ุฃุณ ุฃุฑุจุนุฉ ุฒุงุฆุฏ Y
1324
+
1325
+ 332
1326
+ 00:33:12,410 --> 00:33:19,270
1327
+ ุชุณุงูˆูŠ Zero S ูˆู…ุงุนุทูŠู†ูŠ ุฃุฑุจุน ุฅุฌุงุจุงุช ุงู„ุฅุฌุงุจุฉ ุงู„ุฃูˆู„ู‰
1328
+
1329
+ 333
1330
+ 00:33:19,270 --> 00:33:27,800
1331
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชุฉ ูˆ ุฃุฑุจุนุฉ ูˆ ุงุชู†ูŠู† ููŠ ุฃุฑุจุนุฉ ุชู…ุงู†ูŠุฉูƒู…ุงู†ุŸ
1332
+
1333
+ 334
1334
+ 00:33:27,800 --> 00:33:34,060
1335
+ ูŠุจู‚ู‰ ู‡ูŠ ุฑุชุจุฉ ุฃุนู„ู‰ ู…ุนุงู…ู„ ุชูุงุถุฑูŠ ุฃุนู„ู‰ ู…ุนุงู…ู„ ุชูุงุถุฑูŠ
1336
+
1337
+ 335
1338
+ 00:33:34,060 --> 00:33:39,400
1339
+ ู„ุฃู† ู‚ุฏุงุดุŸ ูŠุจู‚ู‰ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ู‡ูŠ ุชู„ุงุชุฉ ูˆููŠ ุฃุนู…ุงู„
1340
+
1341
+ 336
1342
+ 00:33:39,400 --> 00:33:47,990
1343
+ ุงู„ูุตู„ ุฌูŠุจู†ุงู„ูƒูˆุง ุณุคุงู„ ุฒูŠู‡ุง ุทูŠุจ ู†ู…ุฑุฃ ุจูŠู‡ุŸู†ู…ุฑ ุจูŠู‚ูˆู„
1344
+
1345
+ 337
1346
+ 00:33:47,990 --> 00:33:55,130
1347
+ ุงู„ู€ differential equation ุงู„ู€ y' ุจุฏู‡ุง ุชุณุงูˆูŠ x ู†ุงู‚ุต
1348
+
1349
+ 338
1350
+ 00:33:55,130 --> 00:34:04,130
1351
+ y ูƒู„ู‡ ู…ู‚ุณู… ุนู„ู‰ x is linear only linear only ูˆุงู„ู„ู‡
1352
+
1353
+ 339
1354
+ 00:34:04,130 --> 00:34:12,990
1355
+ exact only ูˆุงู„ู„ู‡ homogeneous only homogeneous only
1356
+
1357
+ 340
1358
+ 00:34:12,990 --> 00:34:19,950
1359
+ ูˆุงู„ู„ู‡ all of the aboveAll of the aboveุŒ ู…ู† ู…ู†
1360
+
1361
+ 341
1362
+ 00:34:19,950 --> 00:34:27,590
1363
+ ู‡ุฐูˆู„ุŸ ุจู…ุฌุฑุฏ ุงู„ู†ุธุฑ ู„ูˆ ูˆุฒุนู†ุง ุจุตูŠุฑ ูˆุงุญุฏ ู†ุงู‚ุต Y ุนู„ู‰ X
1364
+
1365
+ 342
1366
+ 00:34:27,590 --> 00:34:32,650
1367
+ ูŠุจู‚ู‰ homogeneousุŒ ุฃู‡ homogeneous ู‡ุฐู‡ ุตุญูŠุญุฉุŒ ู„ูƒู† ู‡ู„
1368
+
1369
+ 343
1370
+ 00:34:32,650 --> 00:34:37,730
1371
+ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ุตุญูŠุญุฉ ูˆู„ุง ู„ุฃุŸ ุชุนุงู„ู‰ ู†ุดูˆูุงู„ุงู† ู‚ุงู„ ู„ูŠ ู‡ุฐู‡
1372
+
1373
+ 344
1374
+ 00:34:37,730 --> 00:34:42,710
1375
+ linear ุจู‚ูˆู„ ูˆุงู„ู„ู‡ ู…ุง ุงู†ุง ุนุงุฑู ู‡ุฐู‡ ู‡ู‡ู‡ ุนุจุงุฑุฉ ุนู†
1376
+
1377
+ 345
1378
+ 00:34:42,710 --> 00:34:46,990
1379
+ ูˆุงุญุฏ ู†ุงู‚ุต y ุนู„ู‰ x ู„ูˆ ุฌูŠุจุชู‡ุง ุนู„ู‰ ุงู„ุดุฌุฑุฉ ุจุตูŠุฑ y
1380
+
1381
+ 346
1382
+ 00:34:46,990 --> 00:34:52,050
1383
+ prime ุฒุงุฆุฏ ูˆุงุญุฏ ุนู„ู‰ x ููŠ y ูŠุณุงูˆูŠ ูˆุงุญุฏ linear ูˆู„ุง
1384
+
1385
+ 347
1386
+ 00:34:52,050 --> 00:34:58,220
1387
+ ู„ุงูŠุจู‚ู‰ linear ุตุญูŠุญ ุงู„ exact ุจุฏุฃ ุฃุญุทู‡ุง ููŠ ุตูŠุบุฉ ุงู„
1388
+
1389
+ 348
1390
+ 00:34:58,220 --> 00:35:04,520
1391
+ exact ูุจุฑูˆุญ ุจู‚ูˆู„ู‡ุง ู†ู‡ุงู‡ุง ุงู„ู„ูŠ ู‡ูŠ x dy
1392
+
1393
+ 349
1394
+ 00:35:10,010 --> 00:35:17,070
1395
+ ุจุชุณุงูˆูŠ ู…ูŠู†ุŸ ุจุชุณุงูˆูŠ ุงู„ู€ X ู†ุงู‚ุต Y ููŠ ุงู„ู€ DX ุชู…ุงู…ุŸ
1396
+
1397
+ 350
1398
+ 00:35:17,070 --> 00:35:21,930
1399
+ ู†ุนู…ู„ู‡ุง ู…ุนุงุฏู„ุฉ ุตูุฑูŠุฉ ูŠุจู‚ู‰ ู„ูˆ ุนู…ู„ู†ุงู‡ุง ู…ุนุงุฏู„ุฉ ุตูุฑูŠุฉ
1400
+
1401
+ 351
1402
+ 00:35:21,930 --> 00:35:31,690
1403
+ ุจุตูŠุฑ ุงู„ Y ู†ุงู‚ุต ุงู„ X ููŠ ุงู„ DX ุฒุงุฆุฏ ุงู„ X ููŠ ุงู„ DY
1404
+
1405
+ 352
1406
+ 00:35:31,690 --> 00:35:35,370
1407
+ ุจุชุณุงูˆูŠ Zero ูŠุนู†ูŠ ุฌุจุช ู‡ุงุฏ ูˆูŠู† ุนู„ู‰ ุงู„ุดุฌุฑุฉ ุชุงู†ูŠุฉ
1408
+
1409
+ 353
1410
+ 00:35:35,370 --> 00:35:40,270
1411
+ ุจุชุฌูŠู†ูŠ ุจุฅุดุงุฑุฉ ู…ุฎุงู„ูุฉุฃู†ุง ุจุฏู‰ ุฃุดูˆู exact ูˆู„ุง ู„ุฃ ูŠุจู‚ู‰
1412
+
1413
+ 354
1414
+ 00:35:40,270 --> 00:35:45,490
1415
+ ุจุฏู‰ ุฃุฎุฏ partial M by partial Y ุชูุงุถู„ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ู€Y
1416
+
1417
+ 355
1418
+ 00:35:45,490 --> 00:35:50,790
1419
+ ุจู‚ุฏุฑุด ุชูุงุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ู€X ูƒู…ุงู† ุจู‚ุฏุฑุด ูŠุจู‚ู‰
1420
+
1421
+ 356
1422
+ 00:35:50,790 --> 00:35:55,870
1423
+ partial N partial X ูŠุจู‚ู‰ exact ูƒู…ุงู† ู…ุง ู„ู‡ุง ุตุญูŠุญุฉ
1424
+
1425
+ 357
1426
+ 00:35:55,870 --> 00:36:00,510
1427
+ ูŠุจู‚ู‰ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ุงู„ู†ู‡ุงุฆูŠุฉ ู‡ูŠ ู…ู† All of the
1428
+
1429
+ 358
1430
+ 00:36:00,510 --> 00:36:06,450
1431
+ aboveูˆู„ูŠุณ ุงู„ุชุงู„ูŠ ูŠุจู‚ู‰ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ูŠู‚ูˆู„ all of
1432
+
1433
+ 359
1434
+ 00:36:06,450 --> 00:36:14,210
1435
+ the above be listed now ู†ู‚ุทุฉ ู†ู…ุฑุฉ C ู†ู…ุฑุฉ C ุจูŠู‚ูˆู„
1436
+
1437
+ 360
1438
+ 00:36:14,210 --> 00:36:20,300
1439
+ any separable equationูˆุฃุฌูŠุจ ู†ู‡ุงุฑ ูƒู„ ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช
1440
+
1441
+ 361
1442
+ 00:36:20,300 --> 00:36:27,760
1443
+ separable equation is exact ูˆู„ุง Bernoulli ูˆู„ุง
1444
+
1445
+ 362
1446
+ 00:36:27,760 --> 00:36:34,880
1447
+ homogeneous is exact ูˆู„ุง
1448
+
1449
+ 363
1450
+ 00:36:34,880 --> 00:36:41,620
1451
+ Bernoulli ูˆู„ุง
1452
+
1453
+ 364
1454
+ 00:36:41,620 --> 00:36:44,560
1455
+ homogeneous
1456
+
1457
+ 365
1458
+ 00:36:47,730 --> 00:36:49,510
1459
+ ูˆุงู„ู„ู‡ none of the above
1460
+
1461
+ 366
1462
+ 00:36:59,160 --> 00:37:02,760
1463
+ ุทุจ ุนู„ู‰ ุฅุฌุงุจุฉ ุตุญูŠุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู† ูŠุง ู…ุงู†ุงุชุŸ exactly ู„ูŠู‡
1464
+
1465
+ 367
1466
+ 00:37:02,760 --> 00:37:08,860
1467
+ C parableุŸ ู„ุฃู† C parable ูุตู„ ุงู„ู…ุชุบูŠุฑุงุช ุตุงุฑ ุนู†ุฏูƒ
1468
+
1469
+ 368
1470
+ 00:37:08,860 --> 00:37:17,240
1471
+ ู‡ู†ุง M of X DX ูŠุณุงูˆูŠ ุงู„ N of Y DY ุตุงุฑุช ุงู„ุฏุงู„ุฉ ุงู„ู„ูŠ
1472
+
1473
+ 369
1474
+ 00:37:17,240 --> 00:37:21,320
1475
+ ุนู„ู‰ ุงู„ูŠู…ูŠู†ุฏู‡ ุงู„ู„ูŠ ููŠ Y ูˆ ุงู„ู„ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ุฏู‡ ุงู„ู„ูŠ
1476
+
1477
+ 370
1478
+ 00:37:21,320 --> 00:37:31,060
1479
+ ููŠ X ุฅุฐุง ุจูŠุตูŠุฑ ู‡ุฐู‡ ุงู„ M of X DX ู†ุงู‚ุต ุงู„ N of Y DY
1480
+
1481
+ 371
1482
+ 00:37:31,060 --> 00:37:37,400
1483
+ ุจุชุณูˆู‰ ุฌุฏุงุด Zero ุฌุฏุงุด ู…ุณุชู‚ุฉ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ Y partial
1484
+
1485
+ 372
1486
+ 00:37:37,400 --> 00:37:43,660
1487
+ M ุนู„ู‰ partial Y ุฌุฏุงุด ุชูุงุถู„ ู‡ุฐู‡ ุจุงู„ู†ุณุจุฉ ู„ Xุจุงุฑุดุงู„ N
1488
+
1489
+ 373
1490
+ 00:37:43,660 --> 00:37:47,500
1491
+ ุนู„ู‰ ุจุงุฑุดุงู„ X ู‡ุฐู‡ ุฏุงู„ุฉ ููŠ Y ุฅุฐุง ุงู†ุช ุงุชู…ู†ู‰ ู…ุฌุจุฑุฉ
1492
+
1493
+ 374
1494
+ 00:37:47,500 --> 00:37:52,160
1495
+ ุซุงุจุช ูƒุฏู‡ ู…ุดุชู‚ุชู‡ุงุŸ Zero ูŠุณูˆู‰ Zero ุฅุฐุง ู‡ุฐู‡ ุฅูŠุดุŸ
1496
+
1497
+ 375
1498
+ 00:37:52,160 --> 00:37:57,980
1499
+ Exact ูŠุจู‚ู‰ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ู‡ูŠ ู…ู†ุŸ Exact ู†ุฌูŠ ู„ู†ู…ุฑุฉ
1500
+
1501
+ 376
1502
+ 00:37:57,980 --> 00:38:05,330
1503
+ D ู†ู…ุฑุฉ D ุจู‚ูˆู„ ุงู„ differential equation ู‡ุฐู‡ุงู„ู€
1504
+
1505
+ 377
1506
+ 00:38:05,330 --> 00:38:14,290
1507
+ equation ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ู…ู† y prime ุจุฏู‡ุง ุชุณุงูˆูŠ ุชู„ุงุชุฉ x
1508
+
1509
+ 378
1510
+ 00:38:14,290 --> 00:38:24,910
1511
+ ููŠ ุงู„ y ุฒุงุฆุฏ x to the power n is separable if
1512
+
1513
+ 379
1514
+ 00:38:27,580 --> 00:38:34,600
1515
+ ุงู„ุงู† ุชุณุงูˆูŠ ู‡ู†ุฏูƒ ุณุงู„ุจ ูˆุงุญุฏ ูˆ ุงู„ู„ู‡ ุฒูŠุฑูˆ ูˆ ุงู„ู„ู‡ ูˆุงุญุฏ
1516
+
1517
+ 380
1518
+ 00:38:34,600 --> 00:38:40,880
1519
+ ูˆ ุงู„ู„ู‡ ุชู„ุงุชุฉ ูˆ ุงุฌุชุงุด ู‡ุฐู‡ ุจุชุจู‚ู‰ C Parallel ูŠุนู†ูŠ ูˆ
1520
+
1521
+ 381
1522
+ 00:38:40,880 --> 00:38:48,880
1523
+ ุงุฌุชุงุด ุจู‚ุฏุฑ ุงูุตู„ ุงู„ X ู„ุญุงู„ ูˆ ุงู„ Y ู„ุญุงู„ุทุจุนุงู‹ ู„ูˆ ูƒุงู†ุช
1524
+
1525
+ 382
1526
+ 00:38:48,880 --> 00:38:54,280
1527
+ ู‡ุฐู‡ zero ู„ูŠุดุŸ ู„ุฃู† ู„ูˆ ุตุงุฑุช X ุฃูˆ Zero ุงู„ู„ูŠ ู‡ูˆ ุจูˆุงุญุฏ
1528
+
1529
+ 383
1530
+ 00:38:54,280 --> 00:38:57,480
1531
+ ูŠุจู‚ู‰ ุงู„ุจู†ุฌูˆ ุณูŠู† ู‡ูˆ ุฏู‡ ุงู„ู„ูŠ ููŠ Y ูˆุฏู‡ ุงู„ู„ูŠ ููŠ X
1532
+
1533
+ 384
1534
+ 00:38:57,480 --> 00:39:01,340
1535
+ ุจุงูƒุณูŠู… ุนู„ูŠู‡ ูˆุงุญุฏุฉ ุจุตูŠุฑ ุชู„ุงุช X ุฏูŠ X ูŠุจู‚ู‰ ู„ูˆ ูƒุงู†ุช ุงู„
1536
+
1537
+ 385
1538
+ 00:39:01,340 --> 00:39:08,000
1539
+ N ุชุณุงูˆูŠ ู…ูŠู†ุŸ ุชุณุงูˆูŠ Zero ู†ู…ุฑุง Eู†ู…ุฑ ุงูŠู‡ุŸ ุจูŠู‚ูˆู„ ุงู„ู€
1540
+
1541
+ 386
1542
+ 00:39:08,000 --> 00:39:19,180
1543
+ differential equation Y ู†ุงู‚ุต Y ูŠุณุงูˆูŠ E ุฃุณ T ููŠ Y
1544
+
1545
+ 387
1546
+ 00:39:19,180 --> 00:39:26,960
1547
+ ุฃุณ N ุนู„ู‰ ุชู„ุงุชุฉ ู‡ุฐู‡ ุฅูŠู‡ ุงู„ุจุฑู†ุงู…ุฌุŸ ู‡ุฐู‡ ุงู„ุจุฑู†ุงู…ุฌ
1548
+
1549
+ 388
1550
+ 00:39:36,590 --> 00:39:46,770
1551
+ N ู„ุง ุชุณุงูˆูŠ Zero ูˆ N ุชุณุงูˆูŠ
1552
+
1553
+ 389
1554
+ 00:39:46,770 --> 00:40:00,530
1555
+ ุชู„ุงุชุฉ N ู„ุง ุชุณุงูˆูŠ Zero ูˆ N ุชุณุงูˆูŠ ุชู„ุงุชุฉ
1556
+
1557
+ 390
1558
+ 00:40:03,170 --> 00:40:12,390
1559
+ ุชุณุงูˆูŠ zero ุงู† ุชุณุงูˆูŠ zero and ุงู† ุชุณุงูˆูŠ ุชู„ุงุชุฉ ุงู„ู„ูŠ
1560
+
1561
+ 391
1562
+ 00:40:12,390 --> 00:40:25,890
1563
+ ุจุนุฏู‡ุง ุงู† ุชุณุงูˆูŠ zero and ุงู„ุงู† ู„ุง ุชุณุงูˆูŠ ุชู„ุงุชุฉ ุชุนุงู„ู‰
1564
+
1565
+ 392
1566
+ 00:40:25,890 --> 00:40:29,390
1567
+ ู†ุดูˆู ุชุงู†ูŠุฉ ุทุจ ุฃู†ุง ู…ูˆุงูู‚
1568
+
1569
+ 393
1570
+ 00:40:31,970 --> 00:40:37,530
1571
+ ุทุจ ุชุนุงู„ู‰ ู†ุดูˆู ู„ูŠุด ุงู„ N ู„ุง ุชุณุงูˆูŠ Zero ูŠุนู†ูŠ ุจุชุณุงูˆูŠ
1572
+
1573
+ 394
1574
+ 00:40:37,530 --> 00:40:43,250
1575
+ ุฑู‚ู… ุงุฎุฑ ุชู„ุงุชุฉ ุจุตูŠุฑ ุชู„ุงุชุฉ ุน ุชู„ุงุชุฉ ู…ู‚ุฏุงุด ุจูˆุงุญุฏ ุจุตูŠุฑ
1576
+
1577
+ 395
1578
+ 00:40:43,250 --> 00:40:47,550
1579
+ ู‡ู†ุง Y ูˆ ู‡ู†ุง Y ูŠุจู‚ู‰ ุจุฌูŠุจ ูŠุฏ ุนู„ู‰ ุงู„ุดุฌุฉ ุงู„ุชุงู†ูŠุฉ
1580
+
1581
+ 396
1582
+ 00:40:47,550 --> 00:40:51,390
1583
+ ูˆุจุตูŠู†ุง ุนู†ุฏู†ุง ู†ุงู‚ุต ูˆุงุญุฏ ุฒูŠ ุงู„ E of T ููŠ Y ูˆ ู‡ุฐู‡
1584
+
1585
+ 397
1586
+ 00:40:51,390 --> 00:40:56,500
1587
+ ุชุณุงูˆูŠ Zero ู„ูŠุณุช BernoulliูŠุจู‚ู‰ ู‡ุฐู‡ ุบู„ุท ุงู„ุชุงู†ูŠ ู„ูˆ
1588
+
1589
+ 398
1590
+ 00:40:56,500 --> 00:41:02,540
1591
+ ูƒุงู†ุช ุงู† ู„ุง ุชุณุงูˆูŠ zero ูˆ ุงู† ู„ุง ุชุณุงูˆูŠ ุชู„ุงุชุฉ ุชู…ุงู…
1592
+
1593
+ 399
1594
+ 00:41:02,540 --> 00:41:07,460
1595
+ ูŠุจู‚ู‰ ู„ุง ุชุณุงูˆูŠ zero ู…ุงุดูŠ ู„ุง ุชุณุงูˆูŠ ุชู„ุงุชุฉ ุฃุฑุจุนุฉ ุฎู…ุณุฉ
1596
+
1597
+ 400
1598
+ 00:41:07,460 --> 00:41:12,200
1599
+ ุณุชุฉ ุนุดุฑุฉ ู…ูŠุฉ ุงุชู†ูŠู† ุฒูŠ ู…ุง ุจุฏูƒ ูŠุจู‚ู‰ ุจุตูŠุฑ y prime
1600
+
1601
+ 401
1602
+ 00:41:12,200 --> 00:41:17,420
1603
+ ู†ุงู‚ุต y ุฏุงู„ุฉ ููŠ t ููŠ y ู…ุฑููˆุน ุงู„ูˆุณุท ุฅุฐุง ูุนู„ุง ู‡ุฐู‡
1604
+
1605
+ 402
1606
+ 00:41:17,420 --> 00:41:23,700
1607
+ ู…ุนุงุฏู„ุฉ Bernoulli ุงู„ุจุงู‚ูŠุฉ ุทุจุนุง ู„ุงู…ุงุดูŠ ุทูŠุจ ู†ู…ุฑู‡ F
1608
+
1609
+ 403
1610
+ 00:41:23,700 --> 00:41:27,580
1611
+ ุจูŠู‚ูˆู„
1612
+
1613
+ 404
1614
+ 00:41:27,580 --> 00:41:33,360
1615
+ ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ F ูˆุงู„ G equal ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ F
1616
+
1617
+ 405
1618
+ 00:41:33,360 --> 00:41:40,180
1619
+ ูˆุงู„ G ุจุฏุฑ ุณุงูˆูŠ ูƒุฏู‡ ุนุดุงู† ุงู„ M ุชุจุน ุงู„ A equal 6X ุจุฏุฑ
1620
+
1621
+ 406
1622
+ 00:41:40,180 --> 00:41:49,960
1623
+ ุณุงูˆูŠ 6X where ูˆุงู„ Gf of x ู†ุงู‚ุต ุซู„ุงุซุฉ
1624
+
1625
+ 407
1626
+ 00:42:01,070 --> 00:42:08,830
1627
+ ุงู„ู€ F of X ุจุฏุฃ ุชุณุงูˆูŠ ุฃุญุฏ ๏ฟฝ๏ฟฝู„ุฃู…ูˆุฑ ุงู„ุชุงู„ูŠุฉ ุชู„ุงุชุฉ X
1628
+
1629
+ 408
1630
+ 00:42:08,830 --> 00:42:16,690
1631
+ ุณุชุฉ X ุชู„ุงุชุฉ X ุณุชุฉ X X ุชุฑุจูŠุน ุชู„ุงุชุฉ X ุชุฑุจูŠุน
1632
+
1633
+ 409
1634
+ 00:42:22,300 --> 00:42:26,940
1635
+ ุชุนุงู„ู‰ ู†ุดูˆู ู…ูŠู† ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ููŠ ุฏูˆู„ ุงู„ุฃุฑุจุน
1636
+
1637
+ 410
1638
+ 00:42:26,940 --> 00:42:32,320
1639
+ ุฅุฌุงุจุงุช ุงู„ุงู† ุงู„ rollerskin ูŠุณูˆู‰ ูƒู…ุŸ 6x ุงู†ุง ุนู†ุฏูŠ
1640
+
1641
+ 411
1642
+ 00:42:32,320 --> 00:42:37,980
1643
+ ุฏุงู„ุชูŠู† F ูˆG ุชู†ุชูŠู† ู…ุฑุชุจุทุงุช ู…ุน ุจุนุถ ุดูˆ ุงู„ุงุฑุชุจุงุท ู…ุนุงู‡ู…
1644
+
1645
+ 412
1646
+ 00:42:37,980 --> 00:42:44,260
1647
+ ู„ุจุนุถุŸ G of X ูŠุณูˆู‰ F of X ู†ุงู‚ุต ุชู„ุชุฉุงุฐุง ุงู†ุง ู„ูˆ
1648
+
1649
+ 413
1650
+ 00:42:44,260 --> 00:42:48,620
1651
+ ุฌุจุชู„ู‡ู… ุงู„ุฑู†ุณูƒู† ูŠู‚ูˆู„ ุงู„ุฑู†ุณูƒู† ูŠุณุงูˆูŠ ูƒุฏู‡ุŸ ูŠุณุงูˆูŠ 6x
1652
+
1653
+ 414
1654
+ 00:42:48,620 --> 00:42:53,580
1655
+ ุงุฐุง ู„ูˆ ุฑูˆุญุช ุฌุจุชู„ู‡ู… ุงู„ุฑู†ุณูƒู† ุจุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุงู„ุฑู†ุณูƒู†
1656
+
1657
+ 415
1658
+ 00:42:53,580 --> 00:43:01,420
1659
+ ุชุจุน ุงู„ F ูˆ ุงู„ G ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ู…ุญุฏุฏ ุงู„ุฃูˆู„ู‰
1660
+
1661
+ 416
1662
+ 00:43:01,420 --> 00:43:09,380
1663
+ ู‡ูŠ ุงู„ F of X ุงู„ G ุงู„ู„ูŠ ู‡ูŠ ุงู„ F of X ู†ุงู‚ุต 3ุจุธุจุทุŸ
1664
+
1665
+ 417
1666
+ 00:43:09,380 --> 00:43:17,320
1667
+ ุฅุฐุง ุจุฏูŠ ุฃุดุชู‚ ูŠุจู‚ู‰ ุงู„ F' of X ูˆู‡ู†ุง ุงู„ F' of X
1668
+
1669
+ 418
1670
+ 00:43:17,320 --> 00:43:22,580
1671
+ ูˆู…ุดุชู‚ุชูŠ ุงู„ุชู„ุงุชุฉ ุจู‚ุฏุงุดุŸ ุจ Zero ุจุฏู†ุง ู†ููƒุฑ ุฑูˆู†ุณ
1672
+
1673
+ 419
1674
+ 00:43:22,580 --> 00:43:29,340
1675
+ ูƒูŠู†ู‡ุฏุง ูˆ ู†ุณู…ูŠู‡ ุจู‚ุฏุงุด ุจ6XูŠุจู‚ู‰ ู‡ุฐุง ุงู„ f of x ููŠ ุงู„ f
1676
+
1677
+ 420
1678
+ 00:43:29,340 --> 00:43:37,660
1679
+ prime of x ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูˆ ุงู„ f of x ููŠ ุงู„ f prime of
1680
+
1681
+ 421
1682
+ 00:43:37,660 --> 00:43:44,620
1683
+ x ู†ุงู‚ุต ู…ุน ู†ุงู‚ุต ุจูŠุตูŠุฑ ุฒุงุฆุฏ ุชู„ุงุชุฉ f prime of x ูƒู„ู‡
1684
+
1685
+ 422
1686
+ 00:43:44,620 --> 00:43:50,580
1687
+ ุจูŠุณูˆูŠ ุณุชุฉ x ุงุธู† ุงู† ู‡ุฐูŠ ูˆ ู‡ุฐูŠ ู…ุน ุงู„ุณู„ุงู…ุฉุจู‚ู‰ ุนู†ุฏู†ุง
1688
+
1689
+ 423
1690
+ 00:43:50,580 --> 00:43:57,740
1691
+ ุชู„ุงุชุฉ F prime of X ูŠุณุงูˆูŠ ุณุชุฉ X ูŠุจู‚ู‰ ุงู„ F prime of
1692
+
1693
+ 424
1694
+ 00:43:57,740 --> 00:44:03,960
1695
+ X ูŠุณุงูˆูŠ ู‚ุฏุงุดุชู†ูŠู† X ูŠุจู‚ู‰ ู…ุนู†ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู† ุงู„ F of
1696
+
1697
+ 425
1698
+ 00:44:03,960 --> 00:44:10,720
1699
+ X ูŠุณุงูˆูŠ X ุชุฑุจูŠุฉุฒุงุฏ ูƒู†ุณุชุงู† C ุจุงู„ุชูƒุงู…ู„ ุทูŠุจ ูƒูˆูŠุณ ุฅุฐุง
1700
+
1701
+ 426
1702
+ 00:44:10,720 --> 00:44:15,560
1703
+ ุงู„ู…ุนู„ูˆู…ุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ุงู„ู…ุซู„ุฉ ุงุณุชูุฏู†ุง ููŠู‡ุง ุดูƒู„ ุงู„ F of
1704
+
1705
+ 427
1706
+ 00:44:15,560 --> 00:44:20,120
1707
+ X ู‚ุงู„ ู„ูŠ ููŠ ุนู†ุฏูƒ ู…ุนู„ูˆู…ุฉ ุชุงู†ูŠุฉ ุงู† ุงู„ F of Zero ุจุฏู‡
1708
+
1709
+ 428
1710
+ 00:44:20,120 --> 00:44:26,360
1711
+ ูŠุณุงูˆูŠ Zero ูŠุจู‚ู‰ ู‡ู†ุง Zero ุจุฏู‡ ูŠุณุงูˆูŠ Zero ุฒุงุฆุฏ ุงู„ C
1712
+
1713
+ 429
1714
+ 00:44:26,360 --> 00:44:30,680
1715
+ ูŠุจู‚ู‰ ุงู„ C ุฌุฏุงุด ุจุฏู‡ ูŠุณุงูˆูŠ Zero ูŠุจู‚ู‰ ุฃุตุจุญ F of X
1716
+
1717
+ 430
1718
+ 00:44:30,680 --> 00:44:38,840
1719
+ ูŠุณุงูˆูŠ ุฌุฏุงุดุงูƒุณ ุชุฑุจูŠุฉ ุงู„ุงุฌุงุจุฉ ุฑู‚ู… ุชู„ุงุชุฉ ู†ุฌูŠ ุงู„ุงู†
1720
+
1721
+ 431
1722
+ 00:44:38,840 --> 00:44:46,320
1723
+ ู„ุงุฎุฑ ู†ู‚ุทุฉ ููŠ ุงู„ุฎูŠุงุฑุงุช ู†ู…ุฑุฉ GูŠุจู‚ู‰ ู†ู…ุฑุฉ G ุจุชู‚ูˆู„ ู…ุง
1724
+
1725
+ 432
1726
+ 00:44:46,320 --> 00:44:53,500
1727
+ ูŠุฃุชูŠ ุงู„ differential equation X ุชุฑุจูŠุน ุฒุงุฆุฏ ุฃุฑุจุนุฉ X
1728
+
1729
+ 433
1730
+ 00:44:53,500 --> 00:45:01,660
1731
+ ุชุฑุจูŠุน ุฒุงุฆุฏ ุฃุฑุจุนุฉ ููŠ ุงู„ Y double prime ุฒุงุฆุฏ ุงุชู†ูŠู† X
1732
+
1733
+ 434
1734
+ 00:45:01,660 --> 00:45:08,560
1735
+ ููŠ ุงู„ Y prime ุงุชู†ูŠู† X ููŠ ุงู„ Y prime ุฒุงุฆุฏ Y ูŠุณุงูˆูŠ
1736
+
1737
+ 435
1738
+ 00:45:08,560 --> 00:45:09,780
1739
+ Zero
1740
+
1741
+ 436
1742
+ 00:45:12,720 --> 00:45:24,260
1743
+ ููŠ ุนู†ุฏูŠ ุฃุฑุจุน ุฅุฌุงุจุงุชุŒ no singular points ุงู„ุฅุฌุงุจุฉ
1744
+
1745
+ 437
1746
+ 00:45:24,260 --> 00:45:30,440
1747
+ ุงู„ุซุงู†ูŠุฉุŒ no ordinary
1748
+
1749
+ 438
1750
+ 00:45:30,440 --> 00:45:37,940
1751
+ points ุงู„ุฅุฌุงุจุฉ ุงู„ุชุงู„ุชุฉุŒ two singular points
1752
+
1753
+ 439
1754
+ 00:46:01,440 --> 00:46:03,320
1755
+ ู…ุนุงุฏู„ุฉ ุจุฑู†ูˆู„ูŠ
1756
+
1757
+ 440
1758
+ 00:46:08,490 --> 00:46:13,750
1759
+ ู„ุฃ ู…ุด Bernoulli ุจุฏูƒ ุงู‡ ู‡ุฐุง ู…ุด ุตุญูŠุญ ุงู‡ ู‡ูŠูƒ ู‡ุฐู‡
1760
+
1761
+ 441
1762
+ 00:46:13,750 --> 00:46:17,950
1763
+ ุจุชุจู‚ู‰ x ุฒูŠุงุฏ 4 ู„ูƒู„ ุชุฑุจูŠุฉ ูˆ ุจุฏู‰ ูŠูƒูˆู† ู‡ู†ุง x ุฒูŠุงุฏ 4
1764
+
1765
+ 442
1766
+ 00:46:17,950 --> 00:46:21,490
1767
+ ูŠุจู‚ู‰ ู‡ุฐู‡ ู„ูŠุณุช ู…ุนุงุฏู„ุฉ Bernoulli Bernoulli ูˆู„ุง ู…ุด
1768
+
1769
+ 443
1770
+ 00:46:21,490 --> 00:46:25,730
1771
+ Bernoulli ู…ุด ู‡ุฐุง ุงู„ุณุคุงู„ ุงู‡ ู‚ุตุฏูŠ oiler ูˆู„ุง ู…ุด oiler
1772
+
1773
+ 444
1774
+ 00:46:25,730 --> 00:46:30,220
1775
+ ู…ุงู‡ูŠุงุด oilerู…ุด ู‡ุฐุง ุงู„ุณุคุงู„ ุงู„ุณุคุงู„ ู‚ุงู„ ู„ูŠ ุจุดูˆู ู„ูŠู‡ุง
1776
+
1777
+ 445
1778
+ 00:46:30,220 --> 00:46:35,540
1779
+ ููŠู‡ุงุด ูˆู„ุง singular point ููŠู‡ุงุด ูˆู„ุง ordinary point
1780
+
1781
+ 446
1782
+ 00:46:35,540 --> 00:46:40,600
1783
+ ููŠู‡ุง two singular points ูู‚ุท ููŠู‡ุง two ordinary
1784
+
1785
+ 447
1786
+ 00:46:40,600 --> 00:46:45,540
1787
+ points ุฅุฐุง ู†ุญูƒู… ุงุญู†ุง ู…ู† ุฎู„ุงู„ ุงู„ main ุงู„ู…ุนุงู…ู„ ุชุจุน y
1788
+
1789
+ 448
1790
+ 00:46:45,540 --> 00:46:51,060
1791
+ w prime ูŠุจู‚ู‰ ู„ูˆ ู‚ู„ุช x ุชุฑุจูŠุฉ ุฒุงุฏ ุงุฑุจุนุฉ ูŠุณุงูˆูŠ zero
1792
+
1793
+ 449
1794
+ 00:46:51,060 --> 00:46:59,730
1795
+ ุจุฌูŠุจ ู†ุชูŠุฌุฉูƒุฏุงุดุŸ ุฒุฏ ุงูˆ ู†ุงู‚ุต ุงุชู†ูŠู† I ูŠุนู†ูŠ Complex
1796
+
1797
+ 450
1798
+ 00:46:59,730 --> 00:47:03,390
1799
+ ู†ู‚ุทุชูŠู† Complex ู…ุงุนู†ุฏูŠ ู…ุดูƒู„ุฉ Complex ูˆู„ุง real
1800
+
1801
+ 451
1802
+ 00:47:03,390 --> 00:47:08,690
1803
+ ู…ุงุนู†ุฏูŠ ู…ุดูƒู„ุฉ ุงุฐุง ููŠ ุนู†ุฏูŠ two singular points X
1804
+
1805
+ 452
1806
+ 00:47:08,690 --> 00:47:13,390
1807
+ ูŠุณุงูˆูŠ ุงุชู†ูŠู† I ูˆ X ูŠุณุงูˆูŠ ุณุงู„ุจ ุงุชู†ูŠู† I ูŠุจู‚ู‰ ุงู„ุฅุฌุงุจุฉ
1808
+
1809
+ 453
1810
+ 00:47:13,390 --> 00:47:20,310
1811
+ ุตุญูŠุฉ two singular points ุท๏ฟฝ๏ฟฝ ูˆ ุงู„ุจุงู‚ู‰ ุงู„ู†ู‚ุงุทุŸูŠุจู‚ู‰
1812
+
1813
+ 454
1814
+ 00:47:20,310 --> 00:47:26,630
1815
+ two ordinary ุบู„ุทุŒ no ordinary ุบู„ุทุŒ two ordinary
1816
+
1817
+ 455
1818
+ 00:47:26,630 --> 00:47:31,790
1819
+ ุบู„ุทุŒ ุจู„ุง ุงู†ุฏูŠ two singular ุฃูˆ ู…ุงููŠุด singularุŒ ู„ุง
1820
+
1821
+ 456
1822
+ 00:47:31,790 --> 00:47:36,590
1823
+ two singular points ู‡ูŠ ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ูˆุงู„ุจุงู‚ูŠ ูƒู„ู‡
1824
+
1825
+ 457
1826
+ 00:47:36,590 --> 00:47:43,600
1827
+ ุฎุทุฃุทูŠุจ ุฎู„ุตู†ุง ุงู„ุณุคุงู„ ุงู„ุฃูˆู„ ูˆู‡ูˆ ุณุคุงู„ ุงู„ุฎูŠุงุฑุงุช
1828
+
1829
+ 458
1830
+ 00:47:43,600 --> 00:47:53,240
1831
+ ุงู„ู…ุชุนุฏุฏ ุทูŠุจ ุงุถุน ุงู„ H ู…ุงุดูŠ ูˆู„ุง ูŠู‡ู…ูƒ GH H ุจูŠู‚ูˆู„ ู„ูˆ
1832
+
1833
+ 459
1834
+ 00:47:53,240 --> 00:47:59,680
1835
+ ูƒุงู† F of T ุจุฏู‡ ูŠุณูˆู‰ ุชู…ุงู†ูŠุฉ then Laplace transform
1836
+
1837
+ 460
1838
+ 00:47:59,680 --> 00:48:07,340
1839
+ ูŠุนู†ูŠ then Laplace transform ู„ุชู…ุงู†ูŠุฉ ูŠุณุงูˆูŠูŠุณุงูˆู…
1840
+
1841
+ 461
1842
+ 00:48:07,340 --> 00:48:14,220
1843
+ ูŠุนุทูŠู†ูŠ ุนุฏุฉ ุฅุฌุงุจุงุช ูŠุง ุฅู…ุง ุชู…ุงู†ูŠุฉ ูŠุง ุฅู…ุง ุชู…ุงู†ูŠุฉ ููŠ
1844
+
1845
+ 462
1846
+ 00:48:14,220 --> 00:48:21,840
1847
+ ุงุณ ูŠุง ุฅู…ุง ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุณ ูŠุง ุฅู…ุง ุฅูŠูˆุณ ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ ุงุณ
1848
+
1849
+ 463
1850
+ 00:48:21,840 --> 00:48:26,140
1851
+ ุฅูŠูˆุณ ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ ุงุณ ุฃู†ุง ุจู‚ูˆู„ ุงู„ุฅุฌุงุจุฉ ุงู„ุฃุฎูŠุฑุฉ ู‡ูŠ
1852
+
1853
+ 464
1854
+ 00:48:26,140 --> 00:48:32,580
1855
+ ุงู„ุตุญุฉุฃูŠู‡ ูŠุง ุนุฒูŠุฒูŠุŸ ุบู„ุท ูƒู„ุงู…ูŠ ูŠุนู†ูŠุŸ ุบู„ุท ูˆ ู†ุต ูƒู…ุงู†ุŸ
1856
+
1857
+ 465
1858
+ 00:48:32,580 --> 00:48:38,500
1859
+ ูŠุจู‚ู‰ ุจุฏู†ุง ุงู„ุฅุฌุงุจุฉ ุงู„ุตุญูŠุญุฉ ุจู†ู‚ูˆู„ู‡ ุจุณูŠุทุฉ Laplace
1860
+
1861
+ 466
1862
+ 00:48:38,500 --> 00:48:45,540
1863
+ ู„ุชู…ุงู†ูŠุฉ ู‡ุฐู‡ ุจู‚ุฏุฑ ุฃู‚ูˆู„ Laplace ู„ุชู…ุงู†ูŠุฉ ููŠ ูˆุงุญุฏุŒ
1864
+
1865
+ 467
1866
+ 00:48:45,540 --> 00:48:52,950
1867
+ ุชู…ุงู…ุŸู‡ุฐู‡ ู„ุฎุงุตูŠุฉ ุงู„ linearity ูŠุจู‚ู‰ ู‡ุฐุง ุจูŠุตูŠุฑ ุชู…ุงู†ูŠุฉ
1868
+
1869
+ 468
1870
+ 00:48:52,950 --> 00:48:57,490
1871
+ ููŠ ุงู„ plus ู„ู„ one ุงู„ plus ู„ู„ one ุงู„ู„ูŠ ู‡ูˆ ูˆุงุญุฏ ุนู„ู‰
1872
+
1873
+ 469
1874
+ 00:48:57,490 --> 00:49:03,410
1875
+ ุงุณ ูŠุจู‚ู‰ ุงู„ู†ุชูŠุฌุฉ ุชู…ุงู†ูŠุฉ ููŠ ูˆุงุญุฏ ุนู„ู‰ ุงุณ ุงู„ู„ูŠ ู‡ูˆ
1876
+
1877
+ 470
1878
+ 00:49:03,410 --> 00:49:07,750
1879
+ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุณ ู‡ูŠ ุงู„ุฅุฌุงุจุฉ ู…ูŠู† ุงู„ุตุญูŠุญุฉ
1880
+
1881
+ 471
1882
+ 00:49:15,180 --> 00:49:25,900
1883
+ ุงู„ุณุคุงู„ ุงู„ุชุงู†ูŠ ุจูŠู‚ูˆู„ ุงุชุญู„ ู‡ุงุด ุงุชุญู„
1884
+
1885
+ 472
1886
+ 00:49:25,900 --> 00:49:34,290
1887
+ ู‡ุงุด ุงุชุญู„ ู‡ุงุด ุงุชุญู„ ู‡ุงุด ุงุชุญู„ ู‡ุงุดู„ุฃุŒ ุงู„ููŠู† ูˆุฎู…ุณุฉ ูƒุงู†
1888
+
1889
+ 473
1890
+ 00:49:34,290 --> 00:49:37,230
1891
+ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุชู…ุฑูŠู†ุŒ ุงู„ุขู† ููŠ ุงู„ุทุจุน ู‡ุฐู‡ ู…ุด ู…ูˆุฌูˆุฏ ููŠ
1892
+
1893
+ 474
1894
+ 00:49:37,230 --> 00:49:41,300
1895
+ ุงู„ุชู…ุฑูŠู† ูŠุนู†ูŠ ุฑุงูŠุญุฉ ุฏู…ุงุบูƒุจุฏูŠ ุงู‚ูˆู„ู‡ู„ูƒ ูˆ ุจู‚ูˆู„ู‡ู„ูƒ ู„ูƒู†
1896
+
1897
+ 475
1898
+ 00:49:41,300 --> 00:49:47,500
1899
+ ุงุญู†ุง ุจู‚ูˆู„ูƒ ุฑุงูŠุญ ู…ุงุดูŠ ูŠุจู‚ู‰ ู‡ุฐุง answer ุณุคุงู„ ุงุชู†ูŠู† a
1900
+
1901
+ 476
1902
+ 00:49:47,500 --> 00:49:51,560
1903
+ ุจุฏู†ุง ุงุชู†ูŠู† b ูŠุจู‚ู‰ ุงู„ู„ูŠ solve the differential
1904
+
1905
+ 477
1906
+ 00:49:51,560 --> 00:49:57,360
1907
+ equation solve the differential ุงุชู†ูŠู† ุจูŠู‡ุง ุทุจุนุง
1908
+
1909
+ 478
1910
+ 00:49:57,360 --> 00:50:02,620
1911
+ ูŠุจู‚ู‰ solve the differential equation y ุฒุงุฆุฏ ุงุชู†ูŠู†
1912
+
1913
+ 479
1914
+ 00:50:02,620 --> 00:50:12,990
1915
+ e ุงุต x ููŠ ู…ู† ููŠ ุงู„ dx ุฒุงุฆุฏุงู„ุชุงู†ูŠุฉ ูˆุงุญุฏ ุฒุงุฆุฏ E ุงุต
1916
+
1917
+ 480
1918
+ 00:50:12,990 --> 00:50:21,550
1919
+ ู†ุงู‚ุต X ูƒู„ู‡ DY ุณุงูˆูŠ ุฒูŠุฑ ู…ู† ุญุฏ ู…ุง ุชุดูˆููŠ ุงู„ุดูƒู„
1920
+
1921
+ 481
1922
+ 00:50:21,550 --> 00:50:25,170
1923
+ ุงู„ู…ุนุงุฏู„ ุจูŠู‡ ู‡ุฐุง ุงู„ุดูƒู„ ุงูŠุด ุงูˆู„ ุดูŠุก ุจูŠุฎุชุฑ ููŠ ุจุงู„ูƒ
1924
+
1925
+ 482
1926
+ 00:50:25,170 --> 00:50:32,960
1927
+ exact ุงูˆ integrating factorู‡ู„ ู‡ูŠ exactุŸ ุฅุฐุง ูƒุงู†ุช
1928
+
1929
+ 483
1930
+ 00:50:32,960 --> 00:50:37,300
1931
+ ุฃูƒุชุฑ ูุงู„ู„ู‡ ุงู„ู…ูŠู† ุงู„ู‚ุชุงู„ ู…ุงูƒุงู†ุด ูŠุจู‚ู‰ ุจู†ุฌูŠุจู„ู‡ุง ุงู„
1932
+
1933
+ 484
1934
+ 00:50:37,300 --> 00:50:40,620
1935
+ integrating factor ูˆู†ุฑูˆุญ ู†ู„ู‚ูŠู‡ุง ู†ุญู„ ุงู„ู…ุนุงุฏู„ุฉ
1936
+
1937
+ 485
1938
+ 00:50:40,620 --> 00:50:47,520
1939
+ ุงู„ุชูุงุถู„ูŠุฉ ู‡ูŠ ุฌุงู‡ุฒุฉ ู…ุนุงุฏู„ุฉ ุตูุฑูŠุฉ function ููŠ dx
1940
+
1941
+ 486
1942
+ 00:50:47,520 --> 00:50:53,270
1943
+ function ููŠ dy ุฅุฐุง ุจุฏู‰ ุดูˆุญ ุฃุดูˆู ุงู„ exact ุชุจุนู‡ุงูŠุจู‚ู‰
1944
+
1945
+ 487
1946
+ 00:50:53,270 --> 00:50:58,430
1947
+ ุจุฏูŠ ุงุฎุฏ partial M by partial Y ุชูุงุถู„ู‡ุง ุจุงู„ู†ุณุจุฉ ู„ู‡
1948
+
1949
+ 488
1950
+ 00:50:58,430 --> 00:50:59,290
1951
+ ูŠุจู‚ู‰ dash
1952
+
1953
+ 489
1954
+ 00:51:02,000 --> 00:51:08,020
1955
+ ุชูุงุถู„ู‡ุง ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„
1956
+
1957
+ 490
1958
+ 00:51:08,020 --> 00:51:09,700
1959
+ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1960
+
1961
+ 491
1962
+ 00:51:09,700 --> 00:51:10,660
1963
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1964
+
1965
+ 492
1966
+ 00:51:10,660 --> 00:51:10,920
1967
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1968
+
1969
+ 493
1970
+ 00:51:10,920 --> 00:51:11,620
1971
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1972
+
1973
+ 494
1974
+ 00:51:11,620 --> 00:51:12,200
1975
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1976
+
1977
+ 495
1978
+ 00:51:12,200 --> 00:51:12,440
1979
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1980
+
1981
+ 496
1982
+ 00:51:12,440 --> 00:51:12,480
1983
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1984
+
1985
+ 497
1986
+ 00:51:12,480 --> 00:51:14,180
1987
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ุชูุงุถู„ X
1988
+
1989
+ 498
1990
+ 00:51:14,180 --> 00:51:19,300
1991
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ X ๏ฟฝ๏ฟฝูุงุถู„ X ุจุงู„ู†ุณุจุฉ
1992
+
1993
+ 499
1994
+ 00:51:19,300 --> 00:51:19,880
1995
+ ุฅู„ู‰ X ุชูุงุถู„
1996
+
1997
+ 500
1998
+ 00:51:24,120 --> 00:51:30,460
1999
+ ูˆู„ุง ู…ุงู„ู‡ุงุด ุฅุฐุง ู„ูˆ ุฌูŠุช ู‚ู„ุช ู‡ู†ุง ุจุฏูŠ ุฃุฎุฏ ุชูุงุถู„ ุงู„ M
2000
+
2001
+ 501
2002
+ 00:51:30,460 --> 00:51:36,300
2003
+ ุจุงู„ู†ุณุจุฉ ุฅู„ู‰ Y ู†ุงู‚ุต ุชูุงุถู„ ุงู„ N ุจุงู„ู†ุณุจุฉ ู„ X ู…ู‚ุตูˆุฏ ู…ู†
2004
+
2005
+ 502
2006
+ 00:51:36,300 --> 00:51:42,560
2007
+ ุนู„ู‰ ู…ูŠู† ุจุฏูŠ ุฃุดูˆู ูŠุทู„ุน function ููŠ X ูˆู„ุง ู„ุงุจู‚ูˆู„ ู‡ุฐุง
2008
+
2009
+ 503
2010
+ 00:51:42,560 --> 00:51:49,300
2011
+ ุงู„ูƒู„ุงู… ูŠุณุงูˆูŠ ุชูุงุถู„ M ุจุงู„ู†ุณุจุฉ ุงู„ู‰ Y ูˆุงุญุฏ ู†ุงู‚ุต ู†ุงู‚ุต
2012
+
2013
+ 504
2014
+ 00:51:49,300 --> 00:51:55,860
2015
+ ุจุงู„ุตูŠุฑุฉ ุฒุงูŠุฏ E ูˆุงุซ ู†ุงู‚ุต X ุนู„ู‰ N N ุนู†ุฏ ู…ู‚ุฏุงุด ุจูˆุงุญุฏ
2016
+
2017
+ 505
2018
+ 00:51:55,860 --> 00:52:01,140
2019
+ ุฒุงูŠุฏ E ูˆุงุซ ู†ุงู‚ุต X ูŠุจู‚ู‰ ูˆุงุญุฏ ุฒุงูŠุฏ E ูˆุงุซ ู†ุงู‚ุต X
2020
+
2021
+ 506
2022
+ 00:52:01,140 --> 00:52:07,420
2023
+ ุงู„ุฌูˆุงุจ ู…ู‚ุฏุงุด ุทุงู„ุน ู…ู‚ุฏุงุฑ ุซุงุจุชูŠุจู‚ู‰ ู‡ุฐุง function ููŠ y
2024
+
2025
+ 507
2026
+ 00:52:07,420 --> 00:52:13,260
2027
+ ูˆู„ุง function ููŠ x automatic ู…ุฏุงู… ุงู†ุง ุนู…ู„ุช ุงู„ุฎุทูˆู‡
2028
+
2029
+ 508
2030
+ 00:52:13,260 --> 00:52:17,740
2031
+ ุฏูŠ ุจุฏูŠ ุงุนุชุจุฑู‡ ุบุตู…ุง ุนู„ู‰ ุงู„ู„ูŠ ู…ุงูŠุฑุถูŠุงุด function ููŠ x
2032
+
2033
+ 509
2034
+ 00:52:17,740 --> 00:52:23,860
2035
+ ุชู…ุงู… ู„ูˆ ูƒุงู† ู…ู‚ู„ูˆุจ ู‡ุจุฏูŠ ุงุนุชุจุฑู‡ function ููŠ y ูŠุจู‚ู‰
2036
+
2037
+ 510
2038
+ 00:52:23,860 --> 00:52:30,900
2039
+ ู‡ุฐุง function of x only ูŠุจู‚ู‰ ุฎู„ุงุต ุจุฌูŠุจู„ูŠ ุฌู‡ุฏ ุนู„ู‰
2040
+
2041
+ 511
2042
+ 00:52:30,900 --> 00:52:36,350
2043
+ ู…ูŠู† ุนู„ู‰ ุงู„ integratingูุงูƒุชูˆุฑ ู†ูƒู…ู„ ูˆู„ุง ุฎู„ุงุต ุฎู„ุงุต
2044
+
2045
+ 512
2046
+ 00:52:36,350 --> 00:52:40,070
2047
+ ุตุงุญุจ ู†ุฌูŠุจ ุงู„ integrating factor ูˆุจุงู„ุชุงู„ูŠ ุจุญูˆู„ู‡ุง
2048
+
2049
+ 513
2050
+ 00:52:40,070 --> 00:52:44,570
2051
+ ุฅู„ู‰ exact ูˆ ุจูƒู…ู„ ุจุญู„ ุงู„ main ุจุญู„ ุงู„ exact
2052
+
2053
+ 514
2054
+ 00:53:03,590 --> 00:53:09,210
2055
+ ู‡ุฐุง ู‡ูˆ ุงู„ุณุคุงู„ ุงู„ุซุงู†ูŠ ู†ุฐู‡ุจ ุฅู„ู‰ ุงู„ุณุคุงู„ ุงู„ุซุงู„ุซ ุจูŠู‚ูˆู„
2056
+
2057
+ 515
2058
+ 00:53:09,210 --> 00:53:18,970
2059
+ find a particular solution ุณุคุงู„ ุงู„ุชุงู„ุช find Y of T
2060
+
2061
+ 516
2062
+ 00:53:18,970 --> 00:53:24,570
2063
+ ูŠุนู†ูŠ particular solution ู„ู„ differential equationY
2064
+
2065
+ 517
2066
+ 00:53:24,570 --> 00:53:29,890
2067
+ to the derivative four ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ Y double prime
2068
+
2069
+ 518
2070
+ 00:53:29,890 --> 00:53:42,170
2071
+ ุฒุงุฆุฏ ุณุชุฉ ุนุดุฑ Y ูŠุณุงูˆูŠ E ุฃุณ ุงุชู†ูŠู† T ุฒุงุฆุฏ T E ุฃุณ ู†ุงู‚ุต
2072
+
2073
+ 519
2074
+ 00:53:42,170 --> 00:53:48,650
2075
+ T ูˆุจูŠู†ุฌูˆ ุณูŠู†ูˆ ุจุฎุท ุบุงู…ู‚ ุฌุงู„ูŠ ุชุญุณุจุด ุงู„ constantsุฒูŠ
2076
+
2077
+ 520
2078
+ 00:53:48,650 --> 00:53:51,850
2079
+ ู…ุง ุฌูŠุจู†ุงูƒูˆุง ุณุคุงู„ุชูŠ ุงุญุณุจุด ุงู„ู‚ู†ุตุฉ ูˆ ุฑุบู… ุฐู„ูƒ ุงู†ุง ุจุตู„ุญ
2080
+
2081
+ 521
2082
+ 00:53:51,850 --> 00:53:54,930
2083
+ ู„ู‚ูŠุช ูƒุงู… ูˆุงุญุฏ ุฑูŠุญุชูŠ ุญุงุณุจูˆู„ูŠ ู‚ู†ุตุฉ ูˆ ุงุถุงูŠู‚ุชู‡ ูู‚ุงู„ูˆุง
2084
+
2085
+ 522
2086
+ 00:53:54,930 --> 00:53:58,760
2087
+ ูŠุง ุนุฒูŠุฒูŠ ูˆุงู„ู„ู‡ ูƒุงู†ุช ูุถูŠุงุช ูˆ ูˆุฑุงู‡ู… ุงู„ุดุบู„ุทุจ ุงู†ุง ุฌุงูŠ
2088
+
2089
+ 523
2090
+ 00:53:58,760 --> 00:54:02,480
2091
+ ู„ูƒูˆุง ุฎุท ุบุงู…ู‚ุŒ don't evaluate the conosaุŒ ูŠุนูŠุด ูˆู‚ุชูƒ
2092
+
2093
+ 524
2094
+ 00:54:02,480 --> 00:54:05,540
2095
+ ูˆ ุงู„ูƒู„ุงู… ู‡ูˆ ู‡ู†ุง ูƒู…ุงู† ุฌุงูŠ ุงู„ don't evaluate the
2096
+
2097
+ 525
2098
+ 00:54:05,540 --> 00:54:09,660
2099
+ conosa ุงู†ุง ุจู‡ู…ู†ูŠุดุŒ ุงู†ุง ุจุฏูŠ ุงุดูˆู ู‡ู„ ุจุชุนุฑู ุงู„ GB ุดูƒู„
2100
+
2101
+ 526
2102
+ 00:54:09,660 --> 00:54:14,280
2103
+ ุงู„ุญู„ุŒ ูˆุงู„ุจุงู‚ูŠ ุฑูˆุชูŠู†ูŠุŒ ูุงุถู„ ูˆ ู‚ุงู„ูˆุง ุณูˆู‰ ุงู„ุทุฑููŠู† ูˆ
2104
+
2105
+ 527
2106
+ 00:54:14,280 --> 00:54:17,960
2107
+ ุงุญุณุจ ุงู„ conosaุŒ ู‡ุฐุง ุดุบู„ู‡ ุฑูˆุชูŠู†ูŠุŒ ู„ูƒู† ุงู„ุนู…ูˆุฏ ุงู„ูู‚ุฑูŠ
2108
+
2109
+ 528
2110
+ 00:54:17,960 --> 00:54:23,860
2111
+ ู‡ู„ ุจุชุนุฑู ุงู„ GB ุงู„ู„ูŠ ู‡ูˆ ุดูƒู„ ุงู„ particular solutionุŒ
2112
+
2113
+ 529
2114
+ 00:54:23,860 --> 00:54:29,070
2115
+ ู„ุฃ ู‡ุฐุง ู‡ูˆ ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ุนู†ุฏู†ุงุทุจุนุง ุจุงุฌูŠ ุจู‚ูˆู„ูƒ ูƒูˆูŠุณ
2116
+
2117
+ 530
2118
+ 00:54:29,070 --> 00:54:33,030
2119
+ ูŠุจู‚ู‰ ู‡ุฐู‡ homogeneous ูˆู„ุง non homogeneousุŸ
2120
+
2121
+ 531
2122
+ 00:54:41,820 --> 00:54:50,560
2123
+ ูŠุจู‚ู‰ ู„ูˆ ุฌูŠุช ู„ู‡ solution ูŠุจู‚ู‰ ู„ูˆ ุฌูŠุช ู„ู‡ solution
2124
+
2125
+ 532
2126
+ 00:54:50,560 --> 00:54:54,560
2127
+ ูŠุจู‚ู‰ ู„ูˆ ุฌูŠุช ู„ู‡ solution ูŠุจู‚ู‰ ู„ูˆ ุฌูŠุช ู„ู‡ solution
2128
+
2129
+ 533
2130
+ 00:54:54,560 --> 00:55:00,070
2131
+ ูŠุจู‚ู‰ ู„ูˆ ุฌูŠุช ู„ู‡ solutionู…ูŠู† ุงู„ Y to the derivative
2132
+
2133
+ 534
2134
+ 00:55:00,070 --> 00:55:06,850
2135
+ of 4 ู†ู‚ุต ุชู…ุงู†ูŠุฉ YW prime ุฒุงุฆุฏ ุณุชุฉ ุนุดุฑ Y ูŠุณูˆู‰ Zero
2136
+
2137
+ 535
2138
+ 00:55:06,850 --> 00:55:12,890
2139
+ ูˆุงู„ู„ูŠ ููˆู‚ ู‡ูŠ ุงู„ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ ุชู…ุงู… ูŠุจู‚ู‰ ุฃู†ุง ุฃุฎุฏุช
2140
+
2141
+ 536
2142
+ 00:55:12,890 --> 00:55:18,070
2143
+ ุงู„ homogenous ูˆูุฑู‚ุช ุงู„ุญู„ ูŠุจู‚ู‰ ุจุตูŠุฑ ุนู†ุฏูŠ ุดูƒู„ ุงู„
2144
+
2145
+ 537
2146
+ 00:55:18,070 --> 00:55:27,890
2147
+ characteristic equation asR ุฃูุณ ุฃุฑุจุน ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ R
2148
+
2149
+ 538
2150
+ 00:55:27,890 --> 00:55:32,530
2151
+ ุชุฑุจูŠุฉ ุฒุงุฆุฏ ุณุชุงุดุฑ ูŠุณุงูˆูŠ ุฌุฏุง ูƒุซูŠุฑ ู…ู† ุงู„ุจู†ุงุช ูˆ ุฃู†ุง
2152
+
2153
+ 539
2154
+ 00:55:32,530 --> 00:55:39,690
2155
+ ุจุตู„ู‚ ุจูŠุญุทูˆู„ ู‡ู†ุง ุงูŠุด R ุชู…ุงู… ู…ู† ูˆูŠู† R ู‡ูŠ ููŠู‡ุง ู…ุดุชู‚ุฉ
2156
+
2157
+ 540
2158
+ 00:55:39,690 --> 00:55:43,650
2159
+ ููŠู‡ุง ู…ุงููŠุด ู…ุดุชู‚ุฉ ู…ุงููŠุด R ุชู…ุงู… ูŠุจู‚ู‰ ุฏูŠุฑ ุจุงู„ูƒ ูˆ
2160
+
2161
+ 541
2162
+ 00:55:43,650 --> 00:55:51,250
2163
+ ุฑูƒุฒูˆุง ูƒูˆูŠุณุฉูŠุจู‚ู‰ ุตุฑู ุจุงู„ุดูƒู„ ู„ุฃู† ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† R ู†ุงู‚ุต
2164
+
2165
+ 542
2166
+ 00:55:51,250 --> 00:55:54,990
2167
+ ุฃุฑุจุนุฉ ู„ูƒู„ ุชุฑุจูŠุน ูŠุณูˆู‰ ู‚ุฏุงุด Zero
2168
+
2169
+ 543
2170
+ 00:56:04,920 --> 00:56:11,040
2171
+ ุฅุฐุง ุฃู†ุง ุนู†ุฏูŠ ุญู„ูŠู† ูˆ ุงู„ุญู„ูŠู† ูƒู„ ูˆุงุญุฏ ู…ูƒุฑุฑ ู…ุฑุชูŠู† ู„ูŠุด
2172
+
2173
+ 544
2174
+ 00:56:11,040 --> 00:56:16,060
2175
+ ุงู† ุงู„ู‚ุตุฉ ุฏู‡ ูุฑู‚ ุจูŠู† ุงู„ู…ุฑุจุนูŠู† R ู†ู‚ุต ุงุชู†ูŠู† ููŠ R
2176
+
2177
+ 545
2178
+ 00:56:16,060 --> 00:56:25,400
2179
+ ุฒุงุฆุฏูŠ ุงุชู†ูŠู† ุงู„ูƒู„ ุชุฑุงุจูŠุฉูŠุจู‚ู‰ ุตุงุฑ ู‡ุฐุง R1 ุจุฏู‡ ูŠุณุงูˆูŠ 2
2180
+
2181
+ 546
2182
+ 00:56:25,400 --> 00:56:35,500
2183
+ ูˆู‡ุฐุง ูŠุณุงูˆูŠ R2 ูŠุนู†ูŠ ู…ูƒุฑุฑ ู…ุฑุชูŠู† ูˆR3 ูŠุณุงูˆูŠ R4 ูŠุณุงูˆูŠ
2184
+
2185
+ 547
2186
+ 00:56:35,500 --> 00:56:42,230
2187
+ ู†ุงู‚ุต 2ูƒูˆูŠุณ ุงุฐุง ุจุฏู‰ ุงุฌูŠุจ ุดูƒู„ ุงู„ particular ุดูƒู„ ุงู„
2188
+
2189
+ 548
2190
+ 00:56:42,230 --> 00:56:48,070
2191
+ homogeneous ุงู„ solution ุงู„ู„ู‰ ู‡ูˆ yc ูŠุณุงูˆูŠ c ูˆุงุญุฏ
2192
+
2193
+ 549
2194
+ 00:56:48,070 --> 00:56:56,210
2195
+ ุฒุงุฆุฏ c ุงุชู†ูŠู† t ุงูŠ ุงู‚ุตู‰ ุงุชู†ูŠู† t ู…ุธุจูˆุท ู‡ูŠูƒ ู†ูŠุฌูŠ ู„ู„ูŠ
2196
+
2197
+ 550
2198
+ 00:56:56,210 --> 00:57:07,830
2199
+ ุจุนุฏ ุฒุงุฆุฏ c ุชู„ุงุชุฉ c ุงุฑุจุนุฉ t ุงูŠ ุงู‚ุตู‰ ู†ู‚ุต ุงุชู†ูŠู† tูŠุจู‚ู‰
2200
+
2201
+ 551
2202
+ 00:57:07,830 --> 00:57:11,670
2203
+ ู‡ุฐุง ุงู„ุดูƒู„ ุงู„ู…ู‡ู… ุญู„ ุงู„ homogenous differential
2204
+
2205
+ 552
2206
+ 00:57:11,670 --> 00:57:16,690
2207
+ equation ุจู†ุง ู†ูŠุฌูŠ ู„ู„ particular solution ุจุฑูˆุญ ุจุทู„ุน
2208
+
2209
+ 553
2210
+ 00:57:16,690 --> 00:57:24,610
2211
+ ููŠ ุดูƒู„ ุงู„ G of T ููŠ ุดุจู‡ ู…ุง ุจูŠู†ู‡ู…ุŸ ุฃุจุฏุง ูŠุจู‚ู‰ ุญุทุฑ
2212
+
2213
+ 554
2214
+ 00:57:24,610 --> 00:57:31,010
2215
+ ุฃุฌุฒุฉ ุฅูŠู‡ ุงู„ู…ุนุงุฏู„ุฉุŸุงู„ู‰ ู…ุนุงุฏู„ุชูŠู† ูุจุฑูˆุญ ุจู‚ูˆู„ ู‡ู†ุง the
2216
+
2217
+ 555
2218
+ 00:57:31,010 --> 00:57:42,090
2219
+ differential equation one can be is written is
2220
+
2221
+ 556
2222
+ 00:57:42,090 --> 00:57:48,890
2223
+ written as ุจุฑูˆุญ ุจูƒุชุจู‡ุง ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ู y to the
2224
+
2225
+ 557
2226
+ 00:57:48,890 --> 00:57:57,260
2227
+ derivative fourู†ุงู‚ุต ุซู…ุงู†ูŠุฉ Y W Prime ุฒุงุฆุฏ ุณุชุงุดุฑ Y
2228
+
2229
+ 558
2230
+ 00:57:57,260 --> 00:58:06,040
2231
+ ูŠุณุงูˆูŠ E ุฃุณ ุงุชู†ูŠู† T ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ ู†ูุณู‡ุง ู†ุงู‚ุต
2232
+
2233
+ 559
2234
+ 00:58:06,040 --> 00:58:14,680
2235
+ ุซู…ุงู†ูŠุฉ Y W Prime ุฒุงุฆุฏ ุณุชุงุดุฑ Y ูŠุณุงูˆูŠ T ููŠ E ุฃุณ ู†ุงู‚ุต
2236
+
2237
+ 560
2238
+ 00:58:14,680 --> 00:58:27,670
2239
+ Tุฅุฐุง ุงู„ู€ Particular solution ู„ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ูŠุจุฏูˆ
2240
+
2241
+ 561
2242
+ 00:58:27,670 --> 00:58:33,670
2243
+ ูŠุณุงูˆูŠ T to the power S ู‡ุฐู‡ ุงู„ู€ exponential ู„ุญุงู„ู‡ุง
2244
+
2245
+ 562
2246
+ 00:58:33,670 --> 00:58:40,090
2247
+ ูŠุจู‚ู‰ ููŠ ุนู†ุฏู†ุง ู‡ู†ุง ูƒูˆู„ูˆู†ูˆู…ูŠุง ุงู„ู…ู„ุฏุฏุฑุฌุฉ ุงู„ุตูุฑูŠุฉ
2248
+
2249
+ 563
2250
+ 00:58:40,090 --> 00:58:50,690
2251
+ ุจุญุทู„ู‡ constant ูู‚ุท ููŠ E ุฃุณ 2Tู†ุฌูŠ ู„ู‡ุฐู‡ capital Y2
2252
+
2253
+ 564
2254
+ 00:58:50,690 --> 00:58:56,350
2255
+ of T ุจุฏู‡ ูŠุณุงูˆูŠ T to the power S ููŠู‡ ู‡ุฐู‡ ู‡ู†ุง
2256
+
2257
+ 565
2258
+ 00:58:56,350 --> 00:58:59,950
2259
+ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ูŠุจู‚ู‰ ุญุถุฑ ุงุญุท
2260
+
2261
+ 566
2262
+ 00:58:59,950 --> 00:59:06,070
2263
+ polynomial ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุฃูˆู„ู‰ ูŠุจู‚ู‰ A naught T ุฒุงุฆุฏ
2264
+
2265
+ 567
2266
+ 00:59:06,070 --> 00:59:13,680
2267
+ A1 ููŠ E ูˆ 2 ู†ุงู‚ุต Tุจุนุฏ ู‡ูŠูƒ ุจุงู„ุฏุฑุฌุฉ ุงุญุณุจ ู„ู‡ S ูˆ ุงู„ S
2268
+
2269
+ 568
2270
+ 00:59:13,680 --> 00:59:18,760
2271
+ ู‡ู†ุง ุฌุฏูŠุด ุชุณุงูˆูŠ ุจุงุฌูŠ ุจุทู„ุน ุงู„ู…ู‚ุฏุงุฑ ุจูŠู† ุงู„ู‚ูˆุณูŠู† ููŠู‡
2272
+
2273
+ 569
2274
+ 00:59:18,760 --> 00:59:24,600
2275
+ ุฒูŠ ูˆ ููˆู‚ constant ููŠ E ุฃุณ ุงุชู†ูŠู† ููŠ A ู…ูˆุฌูˆุฏ ุชู…ุงู…
2276
+
2277
+ 570
2278
+ 00:59:24,600 --> 00:59:29,810
2279
+ ุฅุฐุง ุจุฏู‡ ุฃุญุท S ุจุฌุฏูŠุด ุจูˆุงุญุฏุฅุฐุง ู„ูˆ ุญุทูŠุช S ุจูˆุงุญุฏ ุจุตูŠุฑ
2280
+
2281
+ 571
2282
+ 00:59:29,810 --> 00:59:36,630
2283
+ ุงู„ุญู„ A T ููŠ E ูˆุงุณูŠ 2T ูŠุนู†ูŠ constant ููŠ T constant
2284
+
2285
+ 572
2286
+ 00:59:36,630 --> 00:59:42,550
2287
+ ููŠ T ููŠ E ูˆุงุณูŠ 2T ู…ูˆุฌูˆุฏ ูŠุจู‚ู‰ ุงู„ S ู„ุง ูŠู…ูƒู† ุฃู† ุชุณุงูˆูŠ
2288
+
2289
+ 573
2290
+ 00:59:42,550 --> 00:59:49,430
2291
+ ูˆุงุญุฏ ูŠุจู‚ู‰ S ู‚ุฏุงุด ุชุณุงูˆูŠ ู†ูŠู† ูŠุจู‚ู‰ ู‡ู†ุง ุงู„ S ุจุฏู‡ุง
2292
+
2293
+ 574
2294
+ 00:59:49,430 --> 00:59:56,810
2295
+ ุชุณุงูˆูŠ ุงุชู†ูŠู† ูŠุจู‚ู‰ ุจุตูŠุฑ capital Y1 of TูŠุจุฏูˆ ูŠุณุงูˆูŠ A
2296
+
2297
+ 575
2298
+ 00:59:56,810 --> 01:00:03,110
2299
+ T ุชุฑุจูŠุน E ุฃุณ ุงุชู†ูŠู† T ู†ุฌูŠ ู„ู„ุชุงู†ูŠุฉ ุงู„ู„ูŠ ุนู†ุฏู†ุง ู‡ุฐู‡ ููŠ
2300
+
2301
+ 576
2302
+ 01:00:03,110 --> 01:00:08,670
2303
+ ุนู†ุฏ ู‡ู†ุง E ุฃุณ ู†ุงู‚ุต T ู…ุงุนู†ุฏูŠุด ุจุงู„ู…ุฑุฉ ุงู†ุง ุนู†ุฏูŠ E ุฃุณ
2304
+
2305
+ 577
2306
+ 01:00:08,670 --> 01:00:12,850
2307
+ ู†ุงู‚ุต ุงุชู†ูŠู† T ู…ุงู„ูŠุด ุนู„ุงู‚ุฉ ููŠู‡ุง ุงู†ุง ุนู„ุงู‚ุชูŠ ุจุณ ููŠ E
2308
+
2309
+ 578
2310
+ 01:00:12,850 --> 01:00:20,500
2311
+ ุฃุณ ู†ุงู‚ุต T ูŠุจู‚ู‰ ู‡ู†ุง ุงู„ S ุจุฌุฏุงุด Zero ูŠุจู‚ู‰ ู‡ู†ุง ุงู„ Sู…ุง
2312
+
2313
+ 579
2314
+ 01:00:20,500 --> 01:00:27,120
2315
+ ุฏุงู… ุณูˆู‰ zero ูŠุจู‚ู‰ capital Y of T ูŠุจู‚ู‰ A naught T
2316
+
2317
+ 580
2318
+ 01:00:27,120 --> 01:00:33,280
2319
+ ุฒุงุฆุฏ A one ููŠ ุงู„ E ู†ุงู‚ุต T ู‚ุงู„ ู„ูŠ ููŠ ุงู„ู…ุซู„ ุจุฏู‡
2320
+
2321
+ 581
2322
+ 01:00:33,280 --> 01:00:38,080
2323
+ particular solution ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ูŠุนู†ูŠ ู‡ุฐุง ู…ุด ู„ุงุฒู…
2324
+
2325
+ 582
2326
+ 01:00:38,080 --> 01:00:41,680
2327
+ ู„ู‡ ู„ูƒู† ุงู†ุง ู„ุงุฒู… ู„ูŠู‡ ูุงุถุทุฑุช ุงุฌูŠุจู‡ ู„ุงู†ู‡ ุจุฏู‡ ุงุฌูŠุจ
2328
+
2329
+ 583
2330
+ 01:00:41,680 --> 01:00:47,600
2331
+ particular solution ู…ู†ู‡ุฅุฐุง ุตุงุฑ capital Y of T ู‡ูˆ
2332
+
2333
+ 584
2334
+ 01:00:47,600 --> 01:00:54,840
2335
+ Y1 of T ุฒุงุฆุฏ Y2 of T ูŠุจู‚ู‰ ุงู„ู„ูŠ ู‡ูˆ ุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด
2336
+
2337
+ 585
2338
+ 01:00:54,840 --> 01:01:04,280
2339
+ ุจุฏู‡ ูŠุณุงูˆูŠ A T ุชุฑุจูŠุน E ุฃุณ ุงุชู†ูŠู† T ุฒุงุฆุฏ A ู†ู‚ุทุฉ T
2340
+
2341
+ 586
2342
+ 01:01:04,280 --> 01:01:10,800
2343
+ ุฒุงุฆุฏ A1 ููŠ ุงู„ E ุฃุณ ู†ุงู‚ุต T ู‡ุฐุง ุงู„ู„ูŠ ุจุฏู†ุง ูŠุงู‡ูˆ ุจุงู‚ู‰
2344
+
2345
+ 587
2346
+ 01:01:10,800 --> 01:01:14,960
2347
+ ุงู„ุดุบู„ ูƒู„ู‡ ู…ุด ู„ุงุฒู…ู„ู‰ุŒ ุดูˆู ูŠ๏ฟฝ๏ฟฝ ุนุงุฏ ู„ูˆ ุจุฏูƒ ุงู„
2348
+
2349
+ 588
2350
+ 01:01:14,960 --> 01:01:20,500
2351
+ constantsุŒ ุจุฏูƒ ุชุฑูˆุญ ุชุดุชู‚ู‰ ู‡ุฐู‡ ูƒุงู… ู…ุฑุฉุŒ ุงุฑุจุน ู…ุฑุงุชุŒ
2352
+
2353
+ 589
2354
+ 01:01:20,500 --> 01:01:24,660
2355
+ ุงู†ุง ุจุฏูŠุด ู‡ูŠ ูˆ ุฑุบู… ุฐู„ูƒ ุจู‚ูŠู† ุงุดูˆู ุจุนุถ ุงู„ุจู†ุงุช ุงูˆ ุจุนุถ
2356
+
2357
+ 590
2358
+ 01:01:24,660 --> 01:01:28,660
2359
+ ุงู„ุงู…ูˆุฑ ู‡ูŠุดุชู‚ู„ู‰ ู‡ุฐู‡ ุงุฑุจุน ู…ุฑุงุชุŒ ุดูˆู ู‚ุฏุงุด ุจุฏู‡ ุชุงุฎุฏ
2360
+
2361
+ 591
2362
+ 01:01:28,660 --> 01:01:33,010
2363
+ ูˆู‚ุชุŒ ุงู†ุง ุจุฏูŠุด ู‡ูŠูˆูƒุชุจู„ูŠู‡ุง ุจุฎุท ุบุงู…ู‚ ุญุชู‰ ุงู„ู„ูŠ ู†ุธุฑู‡
2364
+
2365
+ 592
2366
+ 01:01:33,010 --> 01:01:40,370
2367
+ ุถุนูŠู ูŠุดูˆูู‡ุง ุงู†ุง ุจุฏูŠ ุงุนุฑู ุงู†ูƒ ุจุชุญุณุจ ุงู„ S ู‡ุฐู‡ ูˆู„ุง ู„ุง
2368
+
2369
+ 593
2370
+ 01:01:40,370 --> 01:01:44,760
2371
+ ู„ุงู† ู‡ุฐุง ู‡ูˆ ุงู„ุนู…ูˆุฏ ุงู„ูู‚ุฑูŠุจุงู„ู…ุซู„ ุงู†ู‡ ุนู„ู‰ ู‚ูŠู…ุฉ ุงู„ S
2372
+
2373
+ 594
2374
+ 01:01:44,760 --> 01:01:50,100
2375
+ ูŠุชุฑุชุจ ุดูƒู„ ุงู„ main ุดูƒู„ ุงู„ particular solution ูˆุดูˆู
2376
+
2377
+ 595
2378
+ 01:01:50,100 --> 01:01:55,580
2379
+ ูŠุง ุนูŠุฏ ู„ู…ุง ุชุจุฏุฃ ุญุณุจุช S ุบู„ุท ูˆ ุชุฑูˆุญูŠ ุชุดุชู‚ ูˆ ุชุฌูŠุจู„ูŠ
2380
+
2381
+ 596
2382
+ 01:01:55,580 --> 01:01:59,840
2383
+ ุงู„ constant ุดูˆููŠ ู‚ุฏุงุฌุฉ ุจุชุงุฎุฏ ูˆุงู†ุช ูˆ ูƒู„ู‡ ุบู„ุท ุชู…ุงู…ุŸ
2384
+
2385
+ 597
2386
+ 01:01:59,840 --> 01:02:04,460
2387
+ ู…ุด ู…ุทู„ุจู‡ ุบู„ุทุŒ ู…ุฑูƒุจุฉ ุบู„ุทุŒ ุญุณุจุช S ุบู„ุทุŒ ุจุณ ู„ู…ุง ุญุณุจุช
2388
+
2389
+ 598
2390
+ 01:02:04,460 --> 01:02:09,360
2391
+ ุตุญ ุจุตูŠุฑ ุงู„ุดุบู„ ูƒู„ู‡ุŒ ุจุดุทุจ ุนู„ูŠู‡ ูˆ ุจุฌุฑู‡ูˆุดูˆู„ุง ุจุฏูˆุฑ ุนู„ูŠู‡
2392
+
2393
+ 599
2394
+ 01:02:09,360 --> 01:02:12,340
2395
+ ู…ุด ู„ุฒู…ู„ูŠ ูˆู„ุง ุจุญุท ุนู„ูŠู‡ ูˆู„ุง ุญุงุฌุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุชูƒูˆู†ูŠ
2396
+
2397
+ 600
2398
+ 01:02:12,340 --> 01:02:17,140
2399
+ ุฌุงูŠุจู‡ุง ุตุญ ู…ุด ู„ุฒู…ู„ูŠ ุงู†ุง ู…ุด ุทุงู„ุจู‡ ุงู†ุง ุจุญุท ุงู„ุนู„ุงู…ุฉ ุฌุฏ
2400
+
2401
+ 601
2402
+ 01:02:17,140 --> 01:02:19,520
2403
+ ู…ุง ุงู†ุง ุทุงู„ุจ ุฎู„ุงู„ ุฐู„ูƒ ู…ุงู„ูŠุด ุนู„ุงู‚ุฉ ููŠู‡
2404
+
2405
+ 602
2406
+ 01:02:38,870 --> 01:02:44,170
2407
+ ุทุจ ูƒูˆูŠุณ ู‡ุฐุง ูƒุงู† ู‡ูˆ ุงู„ุณุคุงู„ ุฑู‚ู… ุชู„ุงุชุฉ ุจุฑูˆุญ ู„ู„ุณุคุงู„
2408
+
2409
+ 603
2410
+ 01:02:44,170 --> 01:02:48,390
2411
+ ุฃุฑุจุนุฉ ู‚ุงู„ ู„ูŠ ู‡ุงุช ู„ูŠู‡ ุงู„ general solution ู„ู„ู…ุนุงุฏู„ุฉ
2412
+
2413
+ 604
2414
+ 01:02:48,390 --> 01:02:55,730
2415
+ ู‡ุฐู‡ ูŠุจู‚ู‰ ุฃุฑุจุนุฉ ุจุฏู‡ ุงู„ general solution solve ุงู„ู„ูŠ
2416
+
2417
+ 605
2418
+ 01:02:55,730 --> 01:03:02,030
2419
+ ู‡ูˆ ุงู„ general solution ู„ู…ูŠู† ู„ู„ X ุชุฑุจูŠุน YW prime
2420
+
2421
+ 606
2422
+ 01:03:02,030 --> 01:03:12,330
2423
+ ู†ุงู‚ุต ุงุชู†ูŠู† XY primeุฒุงุฆุฏ ุงุชู†ูŠู† ูˆุงูŠ ูƒู„ู‡ ุณุงูˆูŠ ุงู„ุงูƒุณ
2424
+
2425
+ 607
2426
+ 01:03:12,330 --> 01:03:16,990
2427
+ ุชูƒูŠูŠุจ ููŠ ู„ู† ุงู„ุงูƒุณ ูˆุงู„ู„ู‡ ูŠู…ูƒู† ูŠูƒูˆู† ู…ุซุงู„ ู…ุนุงูƒู… ู‡ุฐูŠ ูˆ
2428
+
2429
+ 608
2430
+ 01:03:16,990 --> 01:03:27,230
2431
+ ู„ุง ู„ุง ู…ุซุงู„ ู…ุนุงูƒู… ููŠ ุงู„ุงูˆูŠู„ุฑ ู†ุตุง ูุงู„ู„ู‡ ูŠุดูˆู ู‡ุฐุง
2432
+
2433
+ 609
2434
+ 01:03:27,230 --> 01:03:33,080
2435
+ ุงูุชุฑู‚ ุดูˆู ู‡ุฐุง ู…ุซุงู„ ูˆ ู„ุง ู„ุงุนู„ู‰ ุงูŠ ุญุงู„ ู…ุซุงู„ ูˆู„ุง ู…ุด
2436
+
2437
+ 610
2438
+ 01:03:33,080 --> 01:03:37,960
2439
+ ู…ุซุงู„ ุจุฏู†ุง ู†ุญู„ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ูˆู‡ู†ุงูƒ ุงูƒุซุฑ ุทุฑูŠู‚ุฉ ุงูˆ
2440
+
2441
+ 611
2442
+ 01:03:37,960 --> 01:03:42,420
2443
+ ุงูƒุซุฑ ู…ู† ุทุฑูŠู‚ุฉ ู„ุญู„ู‡ุง ุฎู„ูŠู†ูŠ ุงุณุฃู„ ุณุคุงู„ ุงู„ุทุฑู ุงู„ุดู…ุงู„
2444
+
2445
+ 612
2446
+ 01:03:42,420 --> 01:03:50,740
2447
+ is it Euler equation ู‡ู„ ู‡ุฐู‡ ู…ุนุงุฏู„ุฉ Euler X ุซุฑุจูŠุง ูˆ
2448
+
2449
+ 613
2450
+ 01:03:50,740 --> 01:03:54,080
2451
+ ุงูŠุถุง ุงู„ุจุฑุงู…ุฌ ู…ู‚ุฏุฑุฉ ุซุงุจุช XY ุจุฑุงู…ุฌ ู…ู‚ุฏุฑุฉ ุซุงุจุช ุงู‡
2452
+
2453
+ 614
2454
+ 01:03:54,080 --> 01:04:01,130
2455
+ ูˆุงู„ู„ู‡ EulerูŠุจู‚ู‰ ุจุฑูˆุญ ุจุญู„ู‡ุง ุจุฃูŠ ุทุฑูŠู‚ุฉ ุชู†ุดุฏ ูˆ ู‚ุฏุงู…ูŠ
2456
+
2457
+ 615
2458
+ 01:04:01,130 --> 01:04:06,850
2459
+ ูƒุงู… ุทุฑูŠู‚ุฉุŸ ุชู†ุชูŠู† ูŠุง ุฅู…ุง ุจุฑูˆุญ ุจุญุท ุงู„ุชุนูˆูŠุถุฉ X ูŠุณุงูˆูŠ
2460
+
2461
+ 616
2462
+ 01:04:06,850 --> 01:04:12,230
2463
+ E ุฃุณ T ุฃุญุฏู‰ ุงู„ุทุฑู‚ ูŠุง ุฅู…ุง ุจู‚ูˆู„ ุงูุชุฑุถ .. ุจุฎู„ูŠู‡ุง ุฒูŠ
2464
+
2465
+ 617
2466
+ 01:04:12,230 --> 01:04:16,090
2467
+ ู…ุง ุจู‚ูˆู„ ุงูุชุฑุถ ุงู„ุญู„ Y ุชุณุงูˆูŠ X ุฃุณ R ูˆ ุจุงุฎุฏ X greater
2468
+
2469
+ 618
2470
+ 01:04:16,090 --> 01:04:20,790
2471
+ than 0 ูˆ ููŠ ุงู„ุขุฎุฑ ุจุญุท ุงู„ุฌูˆุงุจ ุจุฏู„ุงู„ 8ุงู„ู€ absolute
2472
+
2473
+ 619
2474
+ 01:04:20,790 --> 01:04:24,510
2475
+ value ูŠุจู‚ู‰ ุฌุจุช ุงู„ู€ homogeneous ุถุงู„ ุงู„ู€ non
2476
+
2477
+ 620
2478
+ 01:04:24,510 --> 01:04:29,070
2479
+ homogeneous ุจุฑูˆุญ ุจุฌุณู… ูƒู„ู‡ ุนู„ู‰ X ุชุฑุจูŠู‡ ูˆ ุจุฑูˆุญ
2480
+
2481
+ 621
2482
+ 01:04:29,070 --> 01:04:33,570
2483
+ ุจุณุชุฎุฏู… ุงู„ variation of parameters ูŠุนู†ูŠ ู‡ู†ุงูƒ ุทุฑูŠู‚ูŠู†
2484
+
2485
+ 622
2486
+ 01:04:33,570 --> 01:04:39,610
2487
+ ูˆ ู„ู… ุฃู‚ูŠุฏูƒ ุจุฃูŠ ุทุฑูŠู‚ุฉ ู„ูƒู† ูƒุงู† ุจุฅู…ูƒุงู†ูŠ ุฃู‚ูŠุฏูƒ ุฃู‚ูˆู„ูƒ
2488
+
2489
+ 623
2490
+ 01:04:39,610 --> 01:04:45,010
2491
+ ุงุณุชุฎุฏู… ุงู„ุชุนูˆูŠุถ X ูŠุณุงูˆูŠ EOST to change the
2492
+
2493
+ 624
2494
+ 01:04:45,010 --> 01:04:46,070
2495
+ differential equation
2496
+
2497
+ 625
2498
+ 01:04:51,430 --> 01:04:57,650
2499
+ ุจู…ุนุงู…ู„ุงุช ุซุงุจุชุฉ ุซู…
2500
+
2501
+ 626
2502
+ 01:04:57,650 --> 01:05:04,630
2503
+ ุงุญู„ู„ ุงู„ู…ุนุงุฏู„ุฉ
2504
+
2505
+ 627
2506
+ 01:05:06,780 --> 01:05:11,180
2507
+ ูŠุจู‚ู‰ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู…ุญูˆู„ุฉ ุจู…ุนุงู„ุฌุฉ ุซุงุจุชุฉ ูŠู…ูƒู† ุชุทู„ุน
2508
+
2509
+ 628
2510
+ 01:05:11,180 --> 01:05:14,900
2511
+ ุจุฏู‡ุง ุงู„ undetermined coefficients ูˆูŠู…ูƒู† ุงู„
2512
+
2513
+ 629
2514
+ 01:05:14,900 --> 01:05:18,820
2515
+ variation of parameters ุงุฐุง ุงุฐุง ู‚ูŠุฏูƒ ุจุฏูŠ ุงู‚ุชู„
2516
+
2517
+ 630
2518
+ 01:05:18,820 --> 01:05:23,800
2519
+ ุชุงุฒู…ูŠ ุจู…ุง ู‚ูŠุฏุชูƒ ููŠู‡ ู…ุง ู‚ูŠุฏูƒูŠุด ุฎู„ุงุต ุญู„ูŠ ุจุฃูŠ ุดุบู„
2520
+
2521
+ 631
2522
+ 01:05:23,800 --> 01:05:28,440
2523
+ ุจุฏูƒูŠู‡ ูŠุจู‚ู‰ ุงู„ู…ุฏุงู… ู…ุง ู‚ูŠุฏู†ูŠุด ูŠุจู‚ู‰ ุฎู„ุงุต ุณู‡ู„ุฉ ุตุงุฑ
2524
+
2525
+ 632
2526
+ 01:05:28,440 --> 01:05:32,020
2527
+ ู‚ุฏุงู…ูŠ ุทุฑูŠู‚ูŠู† ุจุณ ุงุฐุง ู‚ูŠุฏู†ูŠ ู…ุง ุงู„ู„ูŠ ู‚ุฏุงู…ูŠุด ุงู„ุง ุงู‡
2528
+
2529
+ 633
2530
+ 01:05:32,750 --> 01:05:38,050
2531
+ ุทุฑูŠู‚ ูˆุงุญุฏุŒ ู…ุงุนุฑูุดุŒ ุถุงุน ุงู„ุณุคุงู„ุŒ ุจุณ ุจุนุฑู ูˆ ุจุฌูŠุจ
2532
+
2533
+ 634
2534
+ 01:05:38,050 --> 01:05:43,690
2535
+ ุงู„ุณุคุงู„ุŒ ู„ูƒู† ุฅุฐุง ู…ุง ู‚ูŠู‘ุจู†ุงุดุŒ ุจุตูŠุฑูƒู„ ุงู„ุฎูŠุงุฑุงุช ู…ูุชูˆุญุฉ
2536
+
2537
+ 635
2538
+ 01:05:43,690 --> 01:05:49,710
2539
+ ุฒูŠ ู…ุง ูŠู‚ูˆู„ ุงู„ุณูŠุงุณูŠูŠู† ูŠุจู‚ู‰ ุงู†ุง ุจุฏูˆุฑ ุงู„ุงุณู‡ู„ ูุงุฌูŠ
2540
+
2541
+ 636
2542
+ 01:05:49,710 --> 01:06:00,830
2543
+ ุจู‚ูˆู„ู‡ ุงู„ุงุณู‡ู„ let y ุชุณุงูˆูŠ x plus r ุจ ุง solution of
2544
+
2545
+ 637
2546
+ 01:06:00,830 --> 01:06:08,610
2547
+ ุทุจุนุง ู‚ุจู„ู‡ุง ุจู‚ูˆู„ู‡ f ุงู„ x greater than 0ูŠุจู‚ู‰ ุจูŠู‡
2548
+
2549
+ 638
2550
+ 01:06:08,610 --> 01:06:19,050
2551
+ solution of ุงู„ X ุชุฑุจูŠุน YW ู†ุงู‚ุต ุงุชู†ูŠู† X Y Prime
2552
+
2553
+ 639
2554
+ 01:06:19,050 --> 01:06:25,990
2555
+ ุฒุงุฆุฏ ุงุชู†ูŠู† Y ุณุงูˆูŠ ุฒูŠุฑ then ุงู„
2556
+
2557
+ 640
2558
+ 01:06:25,990 --> 01:06:37,320
2559
+ characteristic equation isR ููŠ R ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต
2560
+
2561
+ 641
2562
+ 01:06:37,320 --> 01:06:46,360
2563
+ ุงุชู†ูŠู† R ุฒุงุฆุฏ ุงุชู†ูŠู† ูŠุณุงูˆูŠ Zeroุฃูˆ ุจู‚ุฏุฑ ุงู‚ูˆู„ R ุชุฑุจูŠุน
2564
+
2565
+ 642
2566
+ 01:06:46,360 --> 01:06:52,920
2567
+ ู†ุงู‚ุต R ู†ุงู‚ุต ุงุชู†ูŠู† R ู†ุงู‚ุต ุชู„ุงุชุฉ R ุฒุงุฆุฏ ุงุชู†ูŠู† ูŠุณุงูˆูŠ
2568
+
2569
+ 643
2570
+ 01:06:52,920 --> 01:07:01,040
2571
+ Zero ูŠุจู‚ู‰ ู‡ุฐู‡ ุจู†ุญู„ู„ู‡ุง ุงู„ู‰ ู‚ูˆุณูŠู†ูŠ ูˆูŠุณุงูˆูŠ Zero ู‡ู†ุง R
2572
+
2573
+ 644
2574
+ 01:07:01,040 --> 01:07:07,440
2575
+ ู‡ู†ุง R ู‡ู†ุง ูˆุงุญุฏูˆู‡ู†ุง ุงุชู†ูŠู† ูˆู‡ู†ุง ู†ุงู‚ุต ู†ุงู‚ุต ูŠุจู‚ู‰ ุจู†ุงุก
2576
+
2577
+ 645
2578
+ 01:07:07,440 --> 01:07:13,760
2579
+ ุนู„ูŠู‡ ุงุตุจุญ R ูˆุงุญุฏ ูŠุณุงูˆูŠ ูˆุงุญุฏ ูˆR ุงุชู†ูŠู† ูŠุณุงูˆูŠ ุงุชู†ูŠู†
2580
+
2581
+ 646
2582
+ 01:07:13,760 --> 01:07:22,860
2583
+ ูŠุจู‚ู‰ ุดูƒู„ ุงู„ุญู„ ุนู„ู‰ ุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ YC ุจุฏู‡ ูŠุณุงูˆูŠ C ูˆุงุญุฏ
2584
+
2585
+ 647
2586
+ 01:07:22,860 --> 01:07:30,510
2587
+ E ุงุฒ T ุงู‡ ู„ุง ู…ุด E ุงุฒ T ู„ุง ู„ุง ุงุณุชู†ูŠ ุดูˆูŠุฉC1 absolute
2588
+
2589
+ 648
2590
+ 01:07:30,510 --> 01:07:38,830
2591
+ value ู„ X ุฃูุณ ูˆุงุญุฏ ุฒุงุฆุฏ C2 ูˆ ู‡ู†ุง ุญุทูŠุช ุงู„ absolute
2592
+
2593
+ 649
2594
+ 01:07:38,830 --> 01:07:44,630
2595
+ ูˆ ุงู„ู„ู‡ ู…ุงุญุทุชู‡ูˆุด C2 ู„ูƒู† ู„ุณู‡ ู‡ูˆ ู„ุญุทูŠู‡ ู„ุฅูŠู‡ ุนุดุงู† ู†ู‚ูˆู„
2596
+
2597
+ 650
2598
+ 01:07:44,630 --> 01:07:54,060
2599
+ ูƒู„ู‡ ู…ุญุฏุด ุฃุญุณู† ู…ู† ู…ู† ุงู„ุชุงู†ูŠ ู‡ุฐุง ู„ YCุทุจุนุง ุงู„ุงู† ุจุฏู†ุง
2600
+
2601
+ 651
2602
+ 01:07:54,060 --> 01:07:58,280
2603
+ ู†ุฌูŠุจ ุงู„ particular solution ู„ูƒูŠ ู†ุฌูŠุจ ุงู„ particular
2604
+
2605
+ 652
2606
+ 01:07:58,280 --> 01:08:02,360
2607
+ solution ุจุงู„ variational parameters ู„ุงุฒู… ูŠูƒูˆู†
2608
+
2609
+ 653
2610
+ 01:08:02,360 --> 01:08:09,260
2611
+ ุงู„ู…ุนุงู…ู„ ู‡ู†ุง ุจู‚ุฏุงุด ูˆุงุญุฏ ุตุญูŠุญ ุงุฐุง ุจุฏูŠ ูŠุตูŠุฑ y w prime
2612
+
2613
+ 654
2614
+ 01:08:09,260 --> 01:08:15,780
2615
+ ู†ู‚ุต ุงุชู†ูŠู† ุนู„ู‰ x ููŠ ุงู„ y prime ุฒูŠุฏูŠ ุงุชู†ูŠู† ุนู„ู‰ x
2616
+
2617
+ 655
2618
+ 01:08:15,780 --> 01:08:24,700
2619
+ ุชุฑุจูŠุน ููŠ ุงู„ y ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ x ููŠ ู„ู† ุงู„ xุงู„ุงู† ุงู„
2620
+
2621
+ 656
2622
+ 01:08:24,700 --> 01:08:27,100
2623
+ particular solution
2624
+
2625
+ 657
2626
+ 01:08:34,160 --> 01:08:42,180
2627
+ Solution as y as a function of t ุจุฏู‡ ูŠุณุงูˆูŠ ุจุฏู‡
2628
+
2629
+ 658
2630
+ 01:08:42,180 --> 01:08:49,380
2631
+ ุงุดูŠู„ c ูˆุงุญุฏ ูˆ ุงุญุท ู…ูƒุงู†ู‡ุง u ูˆุงุญุฏ ูŠุจู‚ู‰ u ูˆุงุญุฏ as a
2632
+
2633
+ 659
2634
+ 01:08:49,380 --> 01:08:54,420
2635
+ function of x ููŠ ุงู„ x ูˆ ุจุนุฏ ู‡ูŠูƒ ุจุญุท ุงู„ absolute
2636
+
2637
+ 660
2638
+ 01:08:54,420 --> 01:09:02,730
2639
+ ุฒุงุฆุฏ c ุงุชู†ูŠู† ุงู„ูˆ u ุงุชู†ูŠู† of xูู‰ ู…ูŠู† ูู‰ ุงู„ X ุชุฑุจูŠุฉ
2640
+
2641
+ 661
2642
+ 01:09:02,730 --> 01:09:08,710
2643
+ ุจุณ ุจุฏูƒ ุชุฑูˆุญ ุชุฌูŠุจ ู…ูŠู† ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ุญุงู„ูŠู† ูŠุจู‚ู‰
2644
+
2645
+ 662
2646
+ 01:09:08,710 --> 01:09:15,570
2647
+ ุงู„ุฑูˆู†ุณูƒูŠู† ุชุจุน ุงู„ุญุงู„ ุงู„ุฃูˆู„ ูˆุงู„ุญุงู„ ุงู„ุซุงู†ูŠ ุจุฏู‡ ูŠุณุงูˆูŠ
2648
+
2649
+ 663
2650
+ 01:09:15,570 --> 01:09:23,110
2651
+ ู‡ุฐุง X ู‡ุฐุง X ุชุฑุจูŠุฉ ูˆุงุญุฏ ุงุชู†ูŠู† X ุงุชู†ูŠู† X ุชุฑุจูŠุฉ ู†ุงู‚ุต
2652
+
2653
+ 664
2654
+ 01:09:23,110 --> 01:09:29,820
2655
+ X ุชุฑุจูŠุฉ ูˆุจุฏู‡ ูŠุณุงูˆูŠ ู‚ุฏุงุด X ุชุฑุจูŠุฉ ูู‚ุท ู„ุง ุบูŠุฑุงู„ุงู†
2656
+
2657
+ 665
2658
+ 01:09:29,820 --> 01:09:36,420
2659
+ ุจุฏู†ุง ู†ุฌูŠุจู„ู‡ ู…ู† ุงู„ U1 as a function of X ูŠุณูˆู‰ ู†ุงู‚ุต
2660
+
2661
+ 666
2662
+ 01:09:36,420 --> 01:09:45,020
2663
+ ุชูƒุงู…ู„ ุงู„ Y2 ููŠ ุงู„ G of X ุนู„ู‰ ุงู„ ุฑูˆู†ุณูƒูŠู† of X DX
2664
+
2665
+ 667
2666
+ 01:09:45,020 --> 01:09:52,240
2667
+ ูŠุจู‚ู‰ ู†ุงู‚ุต ุชูƒุงู…ู„ Y2 ู‡ูˆ ุนุจุงุฑุฉ ุนู† X ุชุฑุจูŠุน ุงู„ G of X
2668
+
2669
+ 668
2670
+ 01:09:52,240 --> 01:09:57,100
2671
+ ูˆูŠู†ูƒ ุฃุฌูŠุจ ู‡ุฐู‡ ุงู„ X ููŠ ู„ู† ุงู„ X
2672
+
2673
+ 669
2674
+ 01:10:03,510 --> 01:10:10,390
2675
+ ู‡ูˆ ูŠุณูˆูŠ ุชูƒุงู…ู„ X ู„ุฅู† X DX
2676
+
2677
+ 670
2678
+ 01:10:22,190 --> 01:10:28,230
2679
+ ุทูŠุจ ู…ุงุดูŠ ู…ุด ู…ุดูƒู„ุฉ ูŠุจู‚ู‰ ุงู„ X ู„ู† ุงู„ X ุจูŠุฑูˆุญ ุฃุฎุฏ ุงู„ U
2680
+
2681
+ 671
2682
+ 01:10:28,230 --> 01:10:36,110
2683
+ ุชุณุงูˆูŠ ู„ู† ุงู„ X ูˆ ุงู„ DV ุจุฏู‡ ูŠุณุงูˆูŠ ุงู„ X DX ูŠุจู‚ู‰ ุงู„ DU
2684
+
2685
+ 672
2686
+ 01:10:36,110 --> 01:10:43,490
2687
+ ุจูˆุงุญุฏ ุนู„ู‰ X DX ูˆ ุงู„ V ุจX ุชุฑุจูŠุน ุนู„ู‰ ู…ู†ุŸ ุนู„ู‰ ุงู„ุฅุชู†ูŠู†
2688
+
2689
+ 673
2690
+ 01:10:43,490 --> 01:10:53,520
2691
+ ูŠุจู‚ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… U ููŠ V ูŠุจู‚ู‰ ู†ุต X ุชุฑุจูŠุน ู„ู† ุงู„ Xู†ู‚ุต
2692
+
2693
+ 674
2694
+ 01:10:53,520 --> 01:11:01,160
2695
+ ุชูƒุงู…ู„ V ุฏุงู„ูŠ U ู‡ุฐูŠ ุงู„ V ูˆ ู‡ุฐูŠ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ู†ุต X DX
2696
+
2697
+ 675
2698
+ 01:11:01,160 --> 01:11:07,980
2699
+ ู…ุธุจูˆุท ูŠุจู‚ู‰ ู‡ุงูŠ V X ุชุฑุจูŠุน ุนู„ู‰ ุงุชู†ูŠู† ุฏุงู„ูŠ U ุจูˆุงุญุฏ
2700
+
2701
+ 676
2702
+ 01:11:07,980 --> 01:11:14,800
2703
+ ุนู„ู‰ X DX ูŠุจู‚ู‰ ุจุฏู†ุง ู†ุนุทูŠูƒูŠ ู†ุชูŠุฌุฉ ุฏุบุฑูŠ ูŠุจู‚ู‰ ู†ุต X
2704
+
2705
+ 677
2706
+ 01:11:14,800 --> 01:11:21,690
2707
+ ุชุฑุจูŠุน ููŠ ู„ู† ุงู„ X ู†ุงู‚ุตู‡ุฐู‡ ุงู„ู†ุต ููŠ ุงู„ุฎุงุฑุฌ ูˆ ุจูŠุจู‚ู‰ X
2708
+
2709
+ 678
2710
+ 01:11:21,690 --> 01:11:27,950
2711
+ ุชุฑุจูŠุน ุนู„ู‰ X ุชูƒุงู…ู„ุฉ ุจ X ุชุฑุจูŠุน ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ุจุตูŠุฑุฉ
2712
+
2713
+ 679
2714
+ 01:11:27,950 --> 01:11:35,910
2715
+ ู‡ุฐู‡ X ุชุฑุจูŠุน ุนู„ู‰ ุงุฑุจุนุฉ ุชู…ุงู…ุŸ ุจุฏู†ุง ู†ุฑูˆุญ ู†ุฌูŠุจู„ู‡ U
2716
+
2717
+ 680
2718
+ 01:11:35,910 --> 01:11:44,170
2719
+ ุงุชู†ูŠู†ูŠุจู‚ู‰ u2 as a function of x ุชูƒุงู…ู„ y1 ููŠ g of x
2720
+
2721
+ 681
2722
+ 01:11:44,170 --> 01:11:52,650
2723
+ ุนู„ู‰ ุฑูˆู†ุณูƒูŠู† of x dx ูŠุจู‚ู‰ ุชูƒุงู…ู„ y1 ู‡ูˆ ุจx ูˆุงู„ g of x
2724
+
2725
+ 682
2726
+ 01:11:52,650 --> 01:12:02,270
2727
+ ู‡ูŠุจ X ู„ุฅู† X ุนู„ู‰ X ุชุฑุจูŠู‡ DX ูŠุจู‚ู‰ ุชูƒุงู…ู„ ู„ุฅู† ุงู„ X DX
2728
+
2729
+ 683
2730
+ 01:12:02,270 --> 01:12:08,390
2731
+ ู‡ุฐู‡ ุงู„ standard ุญุณุจู†ุงู‡ุง ููŠ Calculus B ููƒุงู†ุช X ู„ุฅู†
2732
+
2733
+ 684
2734
+ 01:12:08,390 --> 01:12:10,290
2735
+ X ู†ุงู‚ุต ุงู„ X
2736
+
2737
+ 685
2738
+ 01:12:19,620 --> 01:12:29,540
2739
+ ู‡ู†ุง ุณุงู„ุจ ู‡ู†ุง ุณุงู„ุจ ู‡ู†ุง ุณุงู„ุจ ู‡ู†ุง ู…ูˆุฌุจ ู‡ู†ุง ุณุงู„ุจ ู‡ู†ุง
2740
+
2741
+ 686
2742
+ 01:12:29,540 --> 01:12:36,020
2743
+ ู…ูˆุฌุจ ู…ุงุดูŠ ุฎู„ุตู†ุง ุจุณ ู„ุชุญุช ุณู„ูŠู…ุฉ ู…ุงุฆุฉ ุจุงู„ู…ุงุฆุฉ ุงู†ุง ุงู†
2744
+
2745
+ 687
2746
+ 01:12:36,020 --> 01:12:40,480
2747
+ ุฎู„ุตู†ุง ุจุงุฌูŠ ู‡ู†ุง ุจุดูŠู„ ุงู„ U ูˆุงุญุฏ ูˆ ุจุญุท ู‚ู…ุชู‡ุง ุจุดูŠู„ ุงู„
2748
+
2749
+ 688
2750
+ 01:12:40,480 --> 01:12:42,420
2751
+ U ุงุชู†ูŠู† ูˆ ุจุญุท ู‚ู…ุชู‡ุง ูˆ ุจุฌุจุน
2752
+
2753
+ 689
2754
+ 01:12:47,640 --> 01:12:51,660
2755
+ ุจูƒู…ู„ ูˆู„ุง ุฎู„ุงุตุŸ ุฎู„ุงุต ุฎู„ุงุต
2756
+
2757
+ 690
2758
+ 01:13:08,630 --> 01:13:13,250
2759
+ ุงู„ุงู† ุจู†ุฌูŠ ู„ู„ุณุคุงู„ ุงู„ู„ู‰ ุจุนุฏู‡ ุงู„ู„ู‰ ู‡ูˆ ุงู„ุณุคุงู„ ุงู„ูƒู…ุจูŠูˆุช
2760
+
2761
+ 691
2762
+ 01:13:13,250 --> 01:13:18,990
2763
+ ู„ุง ุจู„ุงุณ ู„ T ููŠ U2 of T ู‡ุฐุง ุฅูŠุด ุณูˆู†ุงู‡ุงุŸ ุดุทุจู†ุงู‡ุงุŒ
2764
+
2765
+ 692
2766
+ 01:13:18,990 --> 01:13:24,730
2767
+ ู…ุธุจูˆุทุŸ ู„ุฅู† ู‡ุฐุง section ุณุชุฉ ุชู„ุงุชุฉุŒ ู…ุธุจูˆุทุŸ ูŠุจู‚ู‰
2768
+
2769
+ 693
2770
+ 01:13:24,730 --> 01:13:28,970
2771
+ ุฃู†ุณุจุŒ ุจุฑูˆุญ ู„ู†ู…ุฑ ุจูŠู‡ุŒ ุฎู…ุณุฉ ู†ู…ุฑ ุจูŠู‡ ู‚ุงู„ use Laplace
2772
+
2773
+ 694
2774
+ 01:13:28,970 --> 01:13:32,410
2775
+ transform to solve the differential equation ุจุฏู‡
2776
+
2777
+ 695
2778
+ 01:13:32,410 --> 01:13:39,110
2779
+ ู†ุณุชุฎุฏู… Laplace transform ู„ุญู„ ุงู„ู…ุนุงุฏู„ุฉ YW primeู†ู‚ุต
2780
+
2781
+ 696
2782
+ 01:13:39,110 --> 01:13:47,030
2783
+ y prime ูŠุณุงูˆูŠ E of T ููŠ cos T ูˆ ุงู„ y ุนู†ุฏ ุงู„ zero
2784
+
2785
+ 697
2786
+ 01:13:47,030 --> 01:13:51,590
2787
+ ุจุฏู‡ุง ุชุณุงูˆูŠ ุงู„ y prime ุนู†ุฏ ุงู„ zero ุจุฏู‡ุง ุชุณุงูˆูŠ zero
2788
+
2789
+ 698
2790
+ 01:13:51,590 --> 01:13:59,270
2791
+ ุงุธู† ู‡ุฐุง ุงู„ุดุบู„ ู„ู„ูŠูˆู… ุชู…ุงู… ู„ูƒู† ู‡ูˆ ู…ุดูŠ ู„ู„ูŠูˆู…ู…ูˆ ู„ู„ู…ุฑุฉ
2792
+
2793
+ 699
2794
+ 01:13:59,270 --> 01:14:03,530
2795
+ ุงู„ู…ุงุถูŠุฉ ูู‡ุฐู‡ ุงู„ู„ูŠ ู‚ุจู„ู‡ุง ุฒูŠ section 6 ุฃุชู†ูŠู† ุฎุฏูŠ
2796
+
2797
+ 700
2798
+ 01:14:03,530 --> 01:14:08,950
2799
+ Laplace transform ู„ุซู„ุงุซุฉ ุฃุทุฑุงู ูŠุจู‚ู‰ ุจูŠุตูŠุฑ Laplace
2800
+
2801
+ 701
2802
+ 01:14:08,950 --> 01:14:14,370
2803
+ transform ู„ YW prime ู†ุงู‚ุต Laplace transform ู„ Y
2804
+
2805
+ 702
2806
+ 01:14:14,370 --> 01:14:21,700
2807
+ prime ูŠุจู‚ู‰ Laplace transform ู„ Eost cos Tู‡ุฐุง ู‡ูˆ
2808
+
2809
+ 703
2810
+ 01:14:21,700 --> 01:14:24,820
2811
+ S2YS
2812
+
2813
+ 704
2814
+ 01:14:24,820 --> 01:14:29,080
2815
+ -SY0
2816
+
2817
+ 705
2818
+ 01:14:29,080 --> 01:14:38,280
2819
+ -Y'-Y0-SYS
2820
+
2821
+ 706
2822
+ 01:14:38,280 --> 01:14:40,800
2823
+ -Y0
2824
+
2825
+ 707
2826
+ 01:14:50,600 --> 01:14:56,560
2827
+ ู‡ุฐู‡ ูŠุง ุจู†ุงุช Y ุนู†ุฏ ุงู„ู€0 ูˆู‡ุฐู‡ ุจู€0 ูˆุนู†ุฏูƒ ู‡ุฐู‡ ูƒู…ุงู†
2828
+
2829
+ 708
2830
+ 01:14:56,560 --> 01:15:06,920
2831
+ ุจูŠุจู‚ู‰ ุงู„ู€Dash ุจู€0 ุจูŠุธู„ ู‡ุฐู‡ ูŠุจู‚ู‰ Sยฒ-SYS
2832
+
2833
+ 709
2834
+ 01:15:06,920 --> 01:15:12,620
2835
+ ู‡ุฐูŠ ูƒู„ู‡ุง ุงู„ุทุฑู ุงู„ุดู…ุงู„ูŠ ูˆุงู„ุณุนูŠ ุจุฑูˆุญ ุนู„ู‰ ุงู„ุฌุฏูˆู„ ุนู„ู‰
2836
+
2837
+ 710
2838
+ 01:15:12,620 --> 01:15:14,580
2839
+ ุงู„ E ุฃุณุทู‰
2840
+
2841
+ 711
2842
+ 01:15:16,660 --> 01:15:22,320
2843
+ ุงู„ู€ E ูˆ S T ููŠ Cos T ุงู„ู„ูŠ
2844
+
2845
+ 712
2846
+ 01:15:22,320 --> 01:15:28,280
2847
+ ู‡ูˆ ุฑู‚ู… ูƒุฏู‡ุŸ ุนุดุฑุฉ ุนู„ู…ู‹ุง ุจุฃู† ุงู„ู€ A ูˆ ุงู„ู€ B ุจูˆุงุญุฏ
2848
+
2849
+ 713
2850
+ 01:15:28,280 --> 01:15:37,660
2851
+ ูŠุจู‚ู‰ S ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ S ู†ุงู‚ุต ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ูˆุงุญุฏ
2852
+
2853
+ 714
2854
+ 01:15:37,660 --> 01:15:47,420
2855
+ ูŠุจู‚ู‰ Sู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ S ู†ุงู‚ุต ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒุงุฆุฏ
2856
+
2857
+ 715
2858
+ 01:15:47,420 --> 01:15:54,840
2859
+ ูˆุงุญุฏ ุทูŠุจ ู‡ุฐู‡ ุงู„ู…ู„ุงุช ุจู‚ุฏุฑ ุงู‚ูˆู„ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ S ููŠ S
2860
+
2861
+ 716
2862
+ 01:15:54,840 --> 01:16:01,540
2863
+ ู†ุงู‚ุต ูˆุงุญุฏ ููŠ capital Y of S ุจุฏู‡ ูŠุณุงูˆูŠ S ู†ุงู‚ุต ูˆุงุญุฏ
2864
+
2865
+ 717
2866
+ 01:16:01,540 --> 01:16:07,050
2867
+ ุนู„ู‰ S ู†ุงู‚ุต ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒุงูŠุฏ ู…ุงู† ุฒุงูŠุฏ ูˆุงุญุฏุฃุธู† S
2868
+
2869
+ 718
2870
+ 01:16:07,050 --> 01:16:12,210
2871
+ ู†ุงู‚ุต ูˆุงุญุฏ ู…ุน S ู†ุงู‚ุต ูˆุงุญุฏ ู…ุน ุงู„ุณู„ุงู…ุฉ ูŠุจู‚ู‰ ุจูŠุตูŠุฑ
2872
+
2873
+ 719
2874
+ 01:16:12,210 --> 01:16:20,910
2875
+ capital Y of S ุจุฏู‡ ูŠุณุงูˆูŠ ุจุฏู‡ ูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ ู…ูŠู†
2876
+
2877
+ 720
2878
+ 01:16:20,910 --> 01:16:28,880
2879
+ ุนู„ู‰ S ู‡ุฐู‡ู„ูˆ ุฌูŠุช ููƒุชู‡ุง ู…ุงู†ุนุด ุจุตูŠุฑ S ุชุฑุจูŠุน ู†ู‚ุต ุงุชู†ูŠู†
2880
+
2881
+ 721
2882
+ 01:16:28,880 --> 01:16:37,220
2883
+ S ุฒุงุฆุฏ ูˆุฒุงุฆุฏ ูˆุงุญุฏ ุฒุงุฆุฏ ุงุชู†ูŠู† ูŠุจู‚ู‰ S ุชุฑุจูŠุน ู†ู‚ุต
2884
+
2885
+ 722
2886
+ 01:16:37,220 --> 01:16:44,480
2887
+ ุงุชู†ูŠู† S ุฒุงุฆุฏ ุงุชู†ูŠู† ุจุฏูƒ ุชุนู…ู„ูŠ ู„ู‡ุง partial fraction
2888
+
2889
+ 723
2890
+ 01:16:44,480 --> 01:16:51,690
2891
+ ูˆุจุฑูˆุญ ุจู†ูƒู…ู„ูŠุจู‚ู‰ ุจุตูŠุฑ capital Y of S ุจูŠุณุงูˆูŠ A ุนู„ู‰ S
2892
+
2893
+ 724
2894
+ 01:16:51,690 --> 01:16:59,690
2895
+ ุฒุงุฆุฏ B S ุฒุงุฆุฏ C ุนู„ู‰ S ุชุฑุจูŠุน ู†ู‚ุต ุงุชู†ูŠู† S ุฒุงุฆุฏ ุงุชู†ูŠู†
2896
+
2897
+ 725
2898
+ 01:16:59,690 --> 01:17:04,570
2899
+ ูˆุนู…ู„ุชู„ูƒ ูˆุงุญุฏุฉ ุฒูŠู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุงู…ุซู„ุฉ ููŠ section 6 2
2900
+
2901
+ 726
2902
+ 01:17:04,570 --> 01:17:10,590
2903
+ ุจุงู„ุฐุงุช ุชู…ุงู… ูŠุจู‚ู‰ ุจู†ูƒู…ู„ ูˆ ุจู†ุฌูŠุจ ุงู„ plus and minus
2904
+
2905
+ 727
2906
+ 01:17:10,590 --> 01:17:17,950
2907
+ ุจูŠูƒูˆู† ุญุตู„ู†ุง ุนู„ู‰ ู…ูŠู† ุนู„ู‰ ุงู„ุญู„ุฃุฎุฑ ุณุคุงู„ ุจูŠู‚ูˆู„ ุงุณุชุฎุฏู…
2908
+
2909
+ 728
2910
+ 01:17:17,950 --> 01:17:23,010
2911
+ ุงู„ series solution ู…ุดุงู† ุงุชุญู„ ู‡ุฐุง ุญูˆุงู„ูŠู† ุงู„
2912
+
2913
+ 729
2914
+ 01:17:23,010 --> 01:17:25,170
2915
+ ordinary point
2916
+
2917
+ 730
2918
+ 01:17:37,700 --> 01:17:42,660
2919
+ ุฃุฎุฑ ุณุคุงู„ ุญู„ ุงู„ู…ุนุงุฏู„ุงุช ุงู„ุชูุงุถู„ูŠุฉ ุจุงุณุชุฎุฏุงู…
2920
+
2921
+ 731
2922
+ 01:17:42,660 --> 01:17:53,460
2923
+ ุงู„ู…ุชุณู„ุณู„ุงุช ู…ุงุทูŠู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุชูุงุถู„ูŠุฉ ุจู†ุงุช Y''ุฒุงุฆุฏ
2924
+
2925
+ 732
2926
+ 01:17:53,460 --> 01:17:57,320
2927
+ 2XY ุจูŠุจู‚ู‰ ูŠุณุงูˆูŠ 0
2928
+
2929
+ 733
2930
+ 01:18:10,920 --> 01:18:21,360
2931
+ ุงู† ุฒุงุฆุฏ ุงุชู†ูŠู† ูŠุณุงูˆูŠ ู†ุงู‚ุต ุงุชู†ูŠู† ุงู† ู†ุงู‚ุต ูˆุงุญุฏ ุนู„ู‰ ุงู†
2932
+
2933
+ 734
2934
+ 01:18:21,360 --> 01:18:29,000
2935
+ ุฒุงุฆุฏ ูˆุงุญุฏ ููŠ ู…ูŠู† ููŠ ุงู† ุฒุงุฆุฏ ุงุชู…ุงู… and then use it
2936
+
2937
+ 735
2938
+ 01:18:29,000 --> 01:18:31,300
2939
+ to find the serious solution of the given
2940
+
2941
+ 736
2942
+ 01:18:31,300 --> 01:18:38,700
2943
+ differential equation ูˆูŠูƒูˆู† ู‡ูƒ ุฎู„ุต ุงู„ุงู…ุชุญุงู† ุชู…ุงู…ุŸ
2944
+
2945
+ 737
2946
+ 01:18:38,700 --> 01:18:45,350
2947
+ ุทูŠุจุฃู†ุง ุฅุฐุง ู…ุนุงูŠุง ูˆู‚ุช ุฒูŠ ู…ุง ุชู„ุงุญุธูŠู† ููŠู‡ ูˆู‚ุช ููŠู‡ ูˆู‚ุช
2948
+
2949
+ 738
2950
+ 01:18:45,350 --> 01:18:50,330
2951
+ ูุทู„ุจุช ุฌูŠุจูŠ ู„ู„ุญู„ ูƒุงู…ู„ุง ุฅุฐุง ุนู†ุฏูŠ ุฃุณุฆู„ุฉ ูƒุชูŠุฑ ุจู‚ูˆู…
2952
+
2953
+ 739
2954
+ 01:18:50,330 --> 01:18:55,230
2955
+ ุจุงุฎุชุตุฑ ุงู„ู†ุต ุจู‚ูˆู„ูƒ find the recurrence relation of
2956
+
2957
+ 740
2958
+ 01:18:55,230 --> 01:18:58,510
2959
+ the differential equation ู‡ุฏู‰ ูˆุจุณูƒุช ุนู†ุฏ ุงู„ู†ู‚ุทุฉ
2960
+
2961
+ 741
2962
+ 01:18:58,510 --> 01:19:03,310
2963
+ ุงู„ูู„ุงู†ูŠุฉ ูˆุจุนุทูŠูƒ ู†ู‚ุทุฉ ู…ุงุดูŠ ูŠุนู†ูŠ ุจุฏูƒ ุฅูŠุงูƒ ุชุฌูŠุจูŠ ู„ู‡ุฏุง
2964
+
2965
+ 742
2966
+ 01:19:03,310 --> 01:19:08,060
2967
+ ูˆ ุชูˆู‚ููŠ ู…ุด ุชุฑูˆุญ ุชุฌูŠุจูŠ ู„ู‡ุฏุง ูˆ ุชูƒู…ู„ูŠู„ูˆ ุงุฌุจุชู„ูƒ ุณุคุงู„
2968
+
2969
+ 743
2970
+ 01:19:08,060 --> 01:19:11,360
2971
+ ุจุฏูƒ ุชุฏู‚ูŠู‚ู‡ ูƒูˆูŠุณ ุงุฐุง ู‚ูˆู„ุชู„ูƒ ู‡ุงุชูŠู„ูŠ ุงู„ series
2972
+
2973
+ 744
2974
+ 01:19:11,360 --> 01:19:15,140
2975
+ solution ุงูˆ ู‡ุฐุง ู…ุทู„ูˆุจ ู…ุทู„ูˆุจูŠู† ุงู„ู…ุทู„ูˆุจ ู„ูˆ ู‚ูˆู„ุชู„ูŠ
2976
+
2977
+ 745
2978
+ 01:19:15,140 --> 01:19:20,400
2979
+ ุงุซุจุชู„ูŠ ุงู† ุงุฑูŠูƒ current relation ู‡ุฐู‡ ู‡ูŠ ุทุจุนุง ุจุชุฑูˆุญ
2980
+
2981
+ 746
2982
+ 01:19:20,400 --> 01:19:25,760
2983
+ ุงุดุชู‚ ู…ุฑุฉ ูˆ ู…ุฑุชูŠู† ูˆ ุงุนูˆุถ ูˆ ุงุบูŠุฑ ุงู„ index ุชุจุน ุงู„
2984
+
2985
+ 747
2986
+ 01:19:25,760 --> 01:19:29,720
2987
+ summation ูˆ ุงุนู…ู„ ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ุทุฑููŠู† ุจูˆุตู„ ู„ู„ู…ุนุงุฏู„ุฉ
2988
+
2989
+ 748
2990
+ 01:19:29,720 --> 01:19:36,510
2991
+ ู‡ุฐู‡ ู…ุธุจูˆุท ุทูŠุจ ู…ุงุนุฑูุชุด ุงูˆุตู„ ู„ู‡ุงุจุณูŠุจู‡ุง ูˆ ุจุฑูˆุญ ุจุงุฎุฏ
2992
+
2993
+ 749
2994
+ 01:19:36,510 --> 01:19:40,010
2995
+ ู‡ุฐู‡ ูˆ ุจูƒู…ู„ ู„ุฅู† ุงู†ุง ู…ุงู‚ุฏุฑุชุด ุงุชูุถู„ ูŠุจู‚ู‰ ู‡ุฐู‡ ุงู„ุตุญ ูˆ
2996
+
2997
+ 750
2998
+ 01:19:40,010 --> 01:19:43,850
2999
+ ุงู„ู„ูŠ ู…ุงู‚ุฏุฑุชุด ุงุฌูŠุจู‡ุง ู‡ูŠ ุบู„ุท ู…ุงู‚ุฏุฑุชุด ุงู†ุง ุจุญุท ุนู„ุงู…ุงุช
3000
+
3001
+ 751
3002
+ 01:19:43,850 --> 01:19:49,680
3003
+ ุนู„ู‰ ู‚ุฏุงุด ุญุงูˆู„ุชูŠ ู„ูˆูŠู† ูˆุตู„ุชูŠ ุชู…ุงู…ุŸู…ุงุชูˆุตู„ุชูŠุด ู†ุชูŠุฌุฉ ู…ุด
3004
+
3005
+ 752
3006
+ 01:19:49,680 --> 01:19:53,780
3007
+ ุงู„ู„ูŠ ุฌุจุชูŠู‡ุง ุบู„ุท ุฑูˆุญ ุงุชูƒู…ู„ูŠู‡ ุจู‚ู‰ ู„ุฃ ุจุฑูˆุญ ุจุงุฎุฏ ุงู„ุตุญ
3008
+
3009
+ 753
3010
+ 01:19:53,780 --> 01:19:57,760
3011
+ ู‡ุฐูŠ ูˆ ุจุชูƒู…ู„ูŠ ุจู‚ู‰ ู„ุฌุชูƒ ุจุชุนุฑู ุชูƒู…ู„ูŠ ุจู‡ุฐุง ุฎู„ุงุต ูŠุจู‚ู‰
3012
+
3013
+ 754
3014
+ 01:19:57,760 --> 01:20:01,300
3015
+ ุจุชุงุฎุฏูŠ ุจู‚ู‰ ุฌุงู„ุน ุงู„ู…ุจุชู„ุบ ู…ุงุฑุญุด ุนู„ูŠูƒ ูƒุชูŠุฑ ูŠุจู‚ู‰ ุงู†ุง
3016
+
3017
+ 755
3018
+ 01:20:01,300 --> 01:20:05,580
3019
+ ุบุดุชูƒ ู„ูƒู† ู„ูˆ ุฑูˆุญ ุชู‚ูˆู„ ููŠูƒ you will see the solution
3020
+
3021
+ 756
3022
+ 01:20:05,580 --> 01:20:09,600
3023
+ to solve the differential equation about x not
3024
+
3025
+ 757
3026
+ 01:20:09,600 --> 01:20:14,800
3027
+ ุชุณุงูˆูŠ zero ูˆ ุณูƒุชูŠุจู‚ู‰ ู„ุญุงู„ูƒ ูˆุฒูŠูƒ ุชุฑูˆุญ ุชุฌูŠุจูŠ ุงู„
3028
+
3029
+ 758
3030
+ 01:20:14,800 --> 01:20:18,360
3031
+ recurrence relation ูˆุงู†ุช ู…ุด ุนุงุฑู ุฃูŠู‡ ุตุญ ูˆู„ุง ุบู„ุทุŒ
3032
+
3033
+ 759
3034
+ 01:20:18,360 --> 01:20:21,860
3035
+ ุจุณ ู„ู…ุง ุฃู‚ูˆู„ูƒ show that ูŠุนู†ูŠ ูƒุงู† ูŠุจู‚ู‰ ุชูุถู„ ูŠู‡ูŠูŠ
3036
+
3037
+ 760
3038
+ 01:20:21,860 --> 01:20:27,100
3039
+ ุงู„ุฌูˆุงุจ ุจุณุทุฉ ู„ูŠู„ูŠุฉุŒ ุชู…ุงู…ุŸ ูŠุจู‚ู‰ ู…ุด ู‡ุฑูŠุงุญู„ูƒ ูŠูƒูˆู† ูˆุฅู†
3040
+
3041
+ 761
3042
+ 01:20:27,100 --> 01:20:32,280
3043
+ ู‚ู„ุชู„ูƒ ู‡ุชูŠู‡ ูˆุณูƒุชุŒ ูŠุจู‚ู‰ ุฌูŠุจูŠู‡ ูˆุงู„ู„ูŠ ุจุชุฌูŠุจูŠู‡ ู‡ูˆ ุฅู„ูŠูƒ
3044
+
3045
+ 762
3046
+ 01:20:32,830 --> 01:20:39,610
3047
+ ุฎู„ุตู†ุงุŸ ูŠุจู‚ู‰ ุจุฏูƒ ุชุฑูˆุญ ุชูุฑุถ ุงู„ุญู„ ุนู„ู‰ ุงู„ุตูŠุบุฉ Y ุชุณุงูˆูŠ
3048
+
3049
+ 763
3050
+ 01:20:39,610 --> 01:20:48,230
3051
+ summation ู…ู† N equal zero to infinity ู„ู…ู†ุŸ ู„ู„ A N
3052
+
3053
+ 764
3054
+ 01:20:48,370 --> 01:20:53,790
3055
+ ู„ู„ู€ X to the power n ู„ูŠุดุŸ ู„ุฃู† X node ุจูŠ Zero ู„ูƒู†
3056
+
3057
+ 765
3058
+ 01:20:53,790 --> 01:20:57,310
3059
+ ู„ูˆ ู‚ุงู„ูŠ X node ุจูˆุงุญุฏ ูˆ ุงู„ู„ู‡ ุงุชู†ูŠู† ูˆ ุงู„ู„ู‡ ุชู„ุงุชุฉ
3060
+
3061
+ 766
3062
+ 01:20:57,310 --> 01:21:03,210
3063
+ ุจุฑูˆุญ ุจู‚ูˆู„ู‡ X ู†ุงู‚ุต ูˆุงุญุฏ ูƒู„ู‡ ุฃุณู† ูˆ ุจุฑูˆุญ ุจุดุชู‚ู„ ู…ุฑุชูŠู†
3064
+
3065
+ 767
3066
+ 01:21:03,210 --> 01:21:06,470
3067
+ ูˆ ุจุบูŠุฑ ุงู„ shift ู„ู„ index ูˆ ุจุฌูŠุจ ู„ู‡ recurrence
3068
+
3069
+ 768
3070
+ 01:21:06,470 --> 01:21:10,990
3071
+ relation ุจุนุฏ ู‡ูŠูƒ ุจุนูˆุถ ู…ุฑุฉ ุจุงุชู†ูŠู† ู…ุฑุฉ ุจุชู„ุงุชุฉ ู…ุฑุฉ
3072
+
3073
+ 769
3074
+ 01:21:10,990 --> 01:21:12,710
3075
+ ุจุงุฑุจุน ู…ุฑุฉ ุจุฎู…ุณุฉ ููŠ ุงู„
3076
+
3077
+ 770
3078
+ 01:21:17,330 --> 01:21:22,750
3079
+ ู„ูˆ ุทู„ุจู‡ ุงุฐุง ุจุชู‚ุฏุฑ ุงุฌูŠุจูŠ ุดูƒู„ ุงู„ุญุฏ ู†ูˆู†ูŠ ุงู‡ู„ุง ูˆุณู‡ู„ุง
3080
+
3081
+ 771
3082
+ 01:21:22,750 --> 01:21:27,330
3083
+ ุจุชู‚ุฏุฑูŠุด ุจุณ ุฌูŠุจูŠู„ูŠ ุงูˆู„ ู…ุฌู…ูˆุน ุงูˆู„ a1 ููŠ ุงูˆู„ ุชู„ุงุช
3084
+
3085
+ 772
3086
+ 01:21:27,330 --> 01:21:30,930
3087
+ ุญุฏูˆุฏ ุฒุงุฆุฏ a1 ููŠ ุงูˆู„ ุชู„ุงุช ุญุฏูˆุฏ ูˆุงู„ู„ู‡ ูŠุนุทูŠูƒ ุงู„ุนุงููŠุฉ
3088
+
3089
+ 773
3090
+ 01:21:30,930 --> 01:21:34,110
3091
+ ุงุฐุง ูƒุงู† ู…ุด ู‚ุงุฏุฑ ุงุฌูŠุจูŠ ุดูƒู„ ุงู„ุญุฏ ู†ูˆู†ูŠ ูŠุจู‚ู‰ ู‡ู‰
3092
+
3093
+ 774
3094
+ 01:21:34,110 --> 01:21:37,630
3095
+ serious ุฒู‰ ู…ุง ุงู†ุช ุทู„ุจุชู‡ ุฌูŠุจุชู„ุนู‚ู„ูƒ ู…ุฌู…ูˆุน ุงู„ู„ู‰ ู‡ูˆ
3096
+
3097
+ 775
3098
+ 01:21:37,630 --> 01:21:44,540
3099
+ two termsุชู…ุงู…ุŸ ู„ุญุฏ ู‡ู†ุง stop ุงู†ุชู‡ูŠู†ุง ู…ู† ุงู„ุงู…ุชุญุงู† ูˆ
3100
+
3101
+ 776
3102
+ 01:21:44,540 --> 01:21:48,580
3103
+ ู‡ุฐุง ุงู„ุงู…ุชุญุงู† ูƒุงู† ุฎุงุต ุงูŠู‡ ุจู„ุง ูˆุงุญุฏ ู…ุงุญุฏุด ูƒุงู† ุดุฑูŠูƒูŠ
3104
+
3105
+ 777
3106
+ 01:21:48,580 --> 01:21:53,760
3107
+ ููŠ ุงู„ู…ุงุฏุฉ ุชู…ุงู…ุŸ ุจุณ ุงู„ู…ุฑุฉ ุฏูŠ ุงูŠู‡ ุงู„ุดุฑูŠูƒุŸ ุฒูŠ ู…ุง ู‚ู„ุช
3108
+
3109
+ 778
3110
+ 01:21:53,760 --> 01:21:58,140
3111
+ ุชูˆุงุณูŠู‡ุง ุจุงู„ู†ูŠุงู… ู…ุดุชุฑูƒ ูŠุนู†ูŠ ุงู†ุชูˆุง ุงู‚ุชุฑุญุชูˆุง ุนู„ู… ุงู†
3112
+
3113
+ 779
3114
+ 01:21:58,140 --> 01:22:04,300
3115
+ ุงุญู†ุง ู…ุชูู‚ูŠู† ู†ูƒูˆู† ุดุฑูƒุฉ ุจุฑุถู‡ ุญุฏ ุจุชุณุฃู„ ุงูŠ ุณุคุงู„ ููŠ ู…ุง
3116
+
3117
+ 780
3118
+ 01:22:04,300 --> 01:22:05,440
3119
+ ูุงุชุŸ
3120
+
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1
+ 1
2
+ 00:00:21,360 --> 00:00:25,760
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:25,760 --> 00:00:30,260
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฃุดุฑู ุงู„ู…ุฑุณู„ูŠู† ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ู‰
8
+
9
+ 3
10
+ 00:00:30,260 --> 00:00:35,340
11
+ ุขู„ู‡ ูˆุตุญุจู‡ ุฃุฌู…ุนูŠู† ุจู†ุงุช ุงู„ุทุงู„ุจุงุช ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
12
+
13
+ 4
14
+ 00:00:35,340 --> 00:00:39,700
15
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ู…ุง
16
+
17
+ 5
18
+ 00:00:39,700 --> 00:00:45,700
19
+ ุฒู„ู†ุง ููŠ ู…ูˆุถูˆุนู†ุง ุฎุทูˆุงุช ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูŠ ููŠ
20
+
21
+ 6
22
+ 00:00:45,700 --> 00:00:51,500
23
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุชู†ุงูˆู„ู†ุง ุฎุทูˆุงุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
24
+
25
+ 7
26
+ 00:00:51,500 --> 00:00:55,880
27
+ ุนู†ุฏ ุงู„ุฏูƒุชูˆุฑ ุฃู‡ูˆุฏุฉ ุจุฏุฑุงู† ูˆุงู„ุฏูƒุชูˆุฑ ุนุจุฏ ุงู„ู…ู†ุนู… ุดูˆู‚ูŠ
28
+
29
+ 8
30
+ 00:00:55,880 --> 00:01:01,280
31
+ ูˆุงู„ุฏูƒุชูˆุฑ ุณูŠุฏ ุฃุจูˆ ุจูƒุฑ ููŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุณู†ูƒู…ู„ ุฎุทูˆุงุช
32
+
33
+ 9
34
+ 00:01:01,280 --> 00:01:06,380
35
+ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ
36
+
37
+ 10
38
+ 00:01:06,380 --> 00:01:11,530
39
+ ุนุจุฏุงู„ู„ู‚ูŠุฏ ุจุงู„ู†ุณุจุฉ ู„ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏุงู„ู„ุทูŠู
40
+
41
+ 11
42
+ 00:01:11,530 --> 00:01:16,070
43
+ ุญุฏุฏู†ุง ุฎุทูˆุงุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุฃุฑุจุนุฉ ู…ุฑุงุญู„
44
+
45
+ 12
46
+ 00:01:16,070 --> 00:01:22,370
47
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุณู…ุงู‡ุง ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ุงู„ู…ุฑุญู„ุฉ
48
+
49
+ 13
50
+ 00:01:22,370 --> 00:01:26,330
51
+ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ุฃูˆ ุงู„ุฅุฌุฑุงุกุงุช ุงู„ุงุณุชูƒุดุงููŠุฉ ู„ู„ู…ุฌุชู…ุน
52
+
53
+ 14
54
+ 00:01:26,330 --> 00:01:32,230
55
+ ูˆุงู„ู…ุคุณุณุงุช ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ุณู…ุงู‡ุง ู…ุฑุญู„ุฉ ุงู„ุงุชูุงู‚ ุฃูˆ
56
+
57
+ 15
58
+ 00:01:32,230 --> 00:01:39,320
59
+ ุงู„ุชุนุงู‚ุฏ ู…ุน ุงู„ู…ุฌุชู…ุน ูˆูˆุถุน ุงู„ุฎุทู‘ุฉ ูˆุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู„ุซุฉ ู‡ูŠ
60
+
61
+ 16
62
+ 00:01:39,320 --> 00:01:44,740
63
+ ู…ุฑุญู„ุฉ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ุจุฏุงูŠุฉ ุงู„ุนู…ู„ ุงู„ู…ุฑุญู„ุฉ
64
+
65
+ 17
66
+ 00:01:44,740 --> 00:01:50,940
67
+ ุงู„ุฑุงุจุนุฉ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุชู‚ูˆูŠู… ูˆุนุงุฆุฏ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุงู„ู„ูŠ
68
+
69
+ 18
70
+ 00:01:50,940 --> 00:01:56,800
71
+ ู‡ูŠ ุจูŠู† ุฌุซูŠู† ุงู„ู…ุชุงุจุนุฉ ูˆุงู„ุชู‚ูˆูŠู… ูˆุงู„ุงู†ุณุญุงุจ ุงู„ุชุฏุฑูŠุฌูŠ
72
+
73
+ 19
74
+ 00:01:56,800 --> 00:02:04,740
75
+ ู…ู† ุงู„ู…ุฌุชู…ุน ุจุนุฏ ุงู„ุงู†ุชู‡ุงุก ู…ู† ุฎุทูˆุงุช ุญุฏู‘ ุงู„ู…ุดูƒู„ุฉ ููŠ
76
+
77
+ 20
78
+ 00:02:04,740 --> 00:02:05,480
79
+ ุงู„ู…ุฌุชู…ุน
80
+
81
+ 21
82
+ 00:02:08,150 --> 00:02:11,610
83
+ ููŠ ุนู†ุฏู†ุง ู†ุฃุฎุฐ ุงู„ุขู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
84
+
85
+ 22
86
+ 00:02:11,610 --> 00:02:15,310
87
+ ุงู„ุงุณุชูƒุดุงููŠุฉ ู„ู„ู…ุฌุชู…ุน ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ู‡ูŠ ู…ุซู„
88
+
89
+ 23
90
+ 00:02:15,310 --> 00:02:20,130
91
+ ู…ุฑุญู„ุฉ ุงู„ุฏุฑุงุณุฉ ูŠุนู†ูŠ ุจุชุณู…ู‘ูŠู‡ุง ุฏุฑุงุณุฉ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ
92
+
93
+ 24
94
+ 00:02:20,130 --> 00:02:28,010
95
+ ุจู†ุฌู…ุน ุจูŠุงู†ุงุช ู…ุนู„ูˆู…ุงุช ุนู† ุงู„ู…ุฌุชู…ุน ูˆู„ุฐู„ูƒ ุชุดุจู‡ ู‡ุฐู‡
96
+
97
+ 25
98
+ 00:02:28,010 --> 00:02:32,610
99
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ุฃูˆ ู‡ูŠ ู†ูุณู‡ุง ู…ุฑุญู„ุฉ ุงู„ุฏุฑุงุณุฉ ุนู†ุฏู‡ุง ุฎุทูˆุงุช
100
+
101
+ 26
102
+ 00:02:32,610 --> 00:02:37,030
103
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนู†ุฏ ู…ู† ุณุจู‚ ุฃู† ุดุฑุญู†ุง ุนู†ุฏู‡ู… ุนู†ุฏ
104
+
105
+ 27
106
+ 00:02:37,030 --> 00:02:41,980
107
+ ุงู„ุฏูƒุชูˆุฑ ุนุจุฏ ุงู„ู…ู†ุนู… ุดูˆู‚ูŠ ุฃูˆ ุงู„ุฏูƒุชูˆุฑ ุณูŠุฏ ุฃุจูˆ ุจูƒุฑ
108
+
109
+ 28
110
+ 00:02:41,980 --> 00:02:47,600
111
+ ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฑุญู„ุฉ
112
+
113
+ 29
114
+ 00:02:47,600 --> 00:02:51,540
115
+ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ูŠุฌุจ ุฃู† ุชุชูˆูุฑ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุดุฑูˆุท ู„ุฏู‰ ุงู„ู…ู†ุธู…
116
+
117
+ 30
118
+ 00:02:51,540 --> 00:02:56,300
119
+ ู…ุง ู‡ูŠ ุงู„ุดุฑูˆุท ุงู„ุชูŠ ูŠุฌุจ ุฃู† ุชุชูˆูุฑ ู„ุฏู‰ ุงู„ู…ู†ุธู…ุŸ
120
+
121
+ 31
122
+ 00:02:59,780 --> 00:03:04,280
123
+ ุจุงู„ุถุจุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ู†ู…ุงุฐุฌ ุงู„ู…ุชู‘ุตู„ุฉ ุจุฏุฑุงุณุฉ ุงู„ู…ุฌุชู…ุนุงุช
124
+
125
+ 32
126
+ 00:03:04,280 --> 00:03:07,940
127
+ ูˆุฎุตุงุฆุตู‡ุง ู„ุฃู† ู‡ุฐุง ู…ู† ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ุงู„ู„ูŠ ุงุจุชุบุช
128
+
129
+ 33
130
+ 00:03:07,940 --> 00:03:13,620
131
+ ุจูŠุงู†ุงุช ูˆู…ุนู„ูˆู…ุงุช ุนู† ุงู„ู…ุฌุชู…ุน ูˆุฌู…ุงุนุงุช ุงู„ู…ุฌุชู…ุน ูˆู…ุคุณุณุงุช
132
+
133
+ 34
134
+ 00:03:13,620 --> 00:03:18,940
135
+ ุงู„ู…ุฌุชู…ุน ู‡ุฐุง ูƒู„ู‘ู‡ ุจูŠููŠุฏู†ุง ููŠ ุชุดุฎูŠุต ุงู„ู…ุดูƒู„ุฉ ู„ุฃู†
136
+
137
+ 35
138
+ 00:03:18,940 --> 00:03:22,840
139
+ ุงู„ุฏุฑุงุณุฉ ุชููŠุฏู†ุง ููŠ ุนู…ู„ูŠุฉ ุงู„ุชุดุฎูŠุต ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ
140
+
141
+ 36
142
+ 00:03:22,840 --> 00:03:27,040
143
+ ุฃูŠุถู‹ุง ู…ู† ุดุฑูˆุท ู…ุฏู‰ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูŠุฌุจ ุฃู† ุชุชูˆูุฑ ููŠ
144
+
145
+ 37
146
+ 00:03:27,040 --> 00:03:33,720
147
+ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู…ู‡ุงุฑุงุช ู„ูˆ ุชุชูˆูุฑ ู„ุฏู‰
148
+
149
+ 38
150
+ 00:03:33,720 --> 00:03:41,260
151
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู…ู‡ุงุฑุงุช ู…ุซู„ู‹ุง ุฌู…ุน
152
+
153
+ 39
154
+ 00:03:41,260 --> 00:03:47,090
155
+ ุงู„ู…ุงู„ ูˆู…ู‡ุงุฑุงุช ุงู„ุนู„ู…ู‘ ู…ู‡ุงุฑุงุช ุฌู…ุน ุงู„ู…ุงู„ ู‡ุฐู‡ ู…ู‡ู…ุฉ ุฌุฏู‹ุง
156
+
157
+ 40
158
+ 00:03:47,090 --> 00:03:52,610
159
+ ู„ุฃู† ุงู„ู…ุงู„ ุนุตุจ ุงู„ู…ุดุงุฑูŠุน ูˆุนุตุจ ุชู‚ุฏูŠู… ุงู„ุฎุฏู…ุงุช ูˆุงู„ุฎุทุท
160
+
161
+ 41
162
+ 00:03:52,610 --> 00:03:57,410
163
+ ุฃูŠุถู‹ุง ูˆุชู‚ุฏูŠู… ุงู„ู…ุณุงุนุฏุฉ ู„ู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุฌู…ุน ุงู„ู…ุงู„ ูŠุญุชุงุฌ
164
+
165
+ 42
166
+ 00:03:57,410 --> 00:04:02,390
167
+ ุฅู„ู‰ ู…ู‡ุงุฑุฉ ููŠ ูƒูŠููŠุฉ ุฌู…ุน ุงู„ุฃู…ูˆุงู„ ุงู„ุชูŠ ุชุณุงุนุฏู†ุง ููŠ ุญู„ู‘
168
+
169
+ 43
170
+ 00:04:02,390 --> 00:04:06,750
171
+ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ุนู† ุทุฑูŠู‚ ุงู„ุฎุทุท ูˆุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน
172
+
173
+ 44
174
+ 00:04:06,750 --> 00:04:12,330
175
+ ูˆุงู„ุฎุฏู…ุงุช ุงู„ู…ู‚ุฏู…ุฉ ู„ู„ู…ุฌุชู…ุน ููŠ ุนู†ุฏู†ุง ุฃูŠุถู‹ุง ุดุฑูˆุท ุฃุฎุฑู‰
176
+
177
+ 45
178
+ 00:04:12,330 --> 00:04:17,130
179
+ ู„ุฏู‰ ุงู„ู…ู†ุธู… ูŠุฌุจ ุฃู† ุชุชูˆูุฑ ูˆู‡ูŠ ู…ุนุฑูุฉ ู…ุนุฑูุชู‡ ุจุทุฑู‚
180
+
181
+ 46
182
+ 00:04:17,130 --> 00:04:21,650
183
+ ูˆุฃุณุงู„ูŠุจ ุงู„ุชู‚ูˆูŠู… ุณูˆุงุก ู…ุง ูŠุชุนู„ู‚ ุจุชู‚ูˆูŠู… ุงู„ุจุฑุงู…ุฌ ุฃูˆ
184
+
185
+ 47
186
+ 00:04:21,650 --> 00:04:26,270
187
+ ุงู„ุฃูุฑุงุฏ ุฃูˆ ุงู„ุฌุงู…ุนุงุช ุฃูˆ ุงู„ู…ุคุณุณุงุช ุงู„ุชู‚ูˆูŠู… ู…ู‡ู… ุฌุฏู‹ุง
188
+
189
+ 48
190
+ 00:04:26,270 --> 00:04:30,510
191
+ ู„ุฃู† ุงู„ุชู‚ูˆูŠู… ุณุงุนุฏู†ุง ุนู„ู‰ ู…ุนุฑูุฉ ุฎุทูˆุงุช ุงู„ุนู…ู„ ุฃูŠู† ูˆุตู„ู†ุง
192
+
193
+ 49
194
+ 00:04:30,510 --> 00:04:36,110
195
+ ุงู„ุฅูŠุฌุงุจูŠุงุช ูˆุงู„ุณู„ุจูŠุงุช ูˆู‡ูƒุฐุง ุฃูŠุถู‹ุง ูู‡ู… ุงู„ู†ุธุฑูŠุงุช
196
+
197
+ 50
198
+ 00:04:36,110 --> 00:04:39,390
199
+ ุงู„ุนู„ู…ูŠุฉ ุงู„ู…ุชู‘ุตู„ุฉ ุจุงู„ุชู†ู…ูŠุฉ ูˆุจุงู„ุฃู†ู…ุงุท ุงู„ุงุฌุชู…ุงุนูŠุฉ
200
+
201
+ 51
202
+ 00:04:39,800 --> 00:04:43,600
203
+ ุงู„ุฃู†ู…ุงุท ูŠุนู†ูŠ ุงู„ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุฎุชู„ูุฉ ูˆู‡ูƒุฐุง ู‡ุฐู‡
204
+
205
+ 52
206
+ 00:04:43,600 --> 00:04:47,440
207
+ ุงู„ู„ูŠ ู‚ู„ุช ุฃู† ุชุชูˆูุฑ ู„ุฏู‰ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐู‡
208
+
209
+ 53
210
+ 00:04:47,440 --> 00:04:52,620
211
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุงุณุชูƒุดุงููŠุฉ
212
+
213
+ 54
214
+ 00:04:52,620 --> 00:04:58,080
215
+ ุทูŠุจ
216
+
217
+ 55
218
+ 00:04:58,080 --> 00:05:05,160
219
+ ุฃูŠุถู‹ุง ุนู„ู‰ ุงู„ุฃุฎุตุงุฆูŠ ูŠุชุญู…ู‘ู„ ุนู„ูŠู‡ ุฃู†ู‘ู‡ ูŠู‚ูˆู… ูŠู‚ูˆู… ุจุงู„ุชุงู„ูŠ
220
+
221
+ 56
222
+ 00:05:05,160 --> 00:05:07,840
223
+ ู…ุง ู‡ูŠ ุงู„ุฃุดูŠุงุก ุงู„ุชูŠ ูŠู‚ูˆู… ุจู‡ุง ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ
224
+
225
+ 57
226
+ 00:05:07,840 --> 00:05:14,140
227
+ ุงู„ุชู…ู‡ูŠุฏูŠุฉ ูˆุงู„ุงุณุชูƒุดุงููŠุฉ ุชุนุฑู ุนู„ู‰ ุฅู…ูƒุงู†ุงุช ุงู„ู…ุฌุชู…ุน
228
+
229
+ 58
230
+ 00:05:14,140 --> 00:05:18,360
231
+ ุงู„ู…ุฎุชู„ูุฉ ุฅู…ูƒุงู†ุงุช ุงู„ู…ุงุฏูŠุฉ ุงู„ุฅู…ูƒุงู†ุงุช ุงู„ุจุดุฑูŠุฉ ู‡ุฐู‡
232
+
233
+ 59
234
+ 00:05:18,360 --> 00:05:21,960
235
+ ุจุชููŠุฏู†ุง ู„ุฃู† ุจุฏูˆู† ุงู„ุชุนุฑู ุนู„ู‰ ุงู„ุฅู…ูƒุงู†ูŠุงุช ู„ุง ูŠู…ูƒู† ุฃู†
236
+
237
+ 60
238
+ 00:05:21,960 --> 00:05:26,880
239
+ ู†ุณุชุทูŠุน ู†ุธุฑุฉ ุญู„ู‘ ู„ู…ุดูƒู„ุฉ ุงู„ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ุงู„ุชุนุฑู ุนู„ู‰
240
+
241
+ 61
242
+ 00:05:26,880 --> 00:05:31,380
243
+ ู†ูˆุนูŠุฉ ุงู„ุนุงุฏุงุช ูˆุงู„ุชู‚ุงู„ูŠุฏ ูˆุงู„ู‚ูŠู… ูˆุงู„ุฃุนุฑุงู ูˆุนู‚ูŠุฏุฉ
244
+
245
+ 62
246
+ 00:05:31,380 --> 00:05:35,820
247
+ ุงู„ู…ุฌุชู…ุน ู‡ุฐู‡ ุฃูŠุถู‹ุง ุถุฑูˆุฑูŠุฉ ุฌุฏู‹ุง ุงู„ู‚ูŠู… ูˆุงู„ุฃุนุฑุงู
248
+
249
+ 63
250
+ 00:05:35,820 --> 00:05:40,960
251
+ ูˆุงู„ุนุงุฏุงุช ู„ู†ุชุนุฑู ุนู„ูŠู‡ุง ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุญุชู‰ ู†ูู‡ู… ู‡ุฐู‡
252
+
253
+ 64
254
+ 00:05:40,960 --> 00:05:45,040
255
+ ุงู„ุนุงุฏุงุช ูˆุงู„ุชู‚ุงู„ูŠุฏ ูˆู†ุจุฏุฃ ุงู„ุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุญุณุจ ุนุฑุงูู‡
256
+
257
+ 65
258
+ 00:05:45,040 --> 00:05:50,080
259
+ ูˆุนุงุฏุงุชู‡ ูˆุชู‚ุงู„ูŠุฏู‡ ุฃูŠุถู‹ุง
260
+
261
+ 66
262
+ 00:05:50,080 --> 00:05:55,940
263
+ ุชูƒูˆูŠู† ู‚ุงุนุฏุฉ ุจูŠุงู†ุงุช ู‚ุงุนุฏุฉ ุงู„ุจูŠุงู†ุงุช ุฃู‡ู…ูŠุชู‡ุง ุฃู†ู‘ู‡ุง
264
+
265
+ 67
266
+ 00:05:55,940 --> 00:06:02,300
267
+ ุชุณุงุนุฏู†ุง ููŠ ูˆุถุน ุงู„ุฎุทุท ูˆุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ุงู„ุฎุงุตุฉ
268
+
269
+ 68
270
+ 00:06:02,300 --> 00:06:06,680
271
+ ุจุนู„ุงุฌ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู„ุงุจุฏู‘ ู…ู† ุชูƒูˆูŠู† ู‚ุงุนุฏุฉ
272
+
273
+ 69
274
+ 00:06:06,680 --> 00:06:12,460
275
+ ุงู„ุจูŠุงู†ุงุช ุฃูŠุถู‹ุง ุงู„ุชุนุฑู ุนู„ู‰ ู†ูˆุนูŠุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ุณุงุฆุฏุฉ ููŠ
276
+
277
+ 70
278
+ 00:06:12,460 --> 00:06:17,620
279
+ ุงู„ู…ุฌุชู…ุน ู…ุง ู‡ูŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ูˆู…ุฏู‰
280
+
281
+ 71
282
+ 00:06:17,620 --> 00:06:22,980
283
+ ุชุฃุซูŠุฑู‡ุง ุนู„ู‰ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูˆู‡ูƒุฐุง ูุงู„ุฅู„ู…ุงู… ุจุงู„ู…ุดูƒู„ุงุช
284
+
285
+ 72
286
+ 00:06:22,980 --> 00:06:26,100
287
+ ูŠุณุงุนุฏู†ุง ุนู„ู‰ ูˆุถุน ุฃูˆู„ูˆูŠุฉ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆุงู„ุจุฏุก
288
+
289
+ 73
290
+ 00:06:26,100 --> 00:06:29,660
291
+ ุจุงู„ู…ุดูƒู„ุงุช ุฐุงุช ุงู„ุฃู‡ู…ูŠุฉ ุงู„ุชูŠ ุชุณุชุทูŠุน ุฃู† ุชุคุซุฑ ุนู„ู‰
292
+
293
+ 74
294
+ 00:06:29,660 --> 00:06:36,680
295
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู†ุจุฏุฃ ุจุนู„ุงุฌู‡ุง ุญุชู‰ ู†ูู‚ู„ู‘ู„ ู…ู† ุญุฏูˆุซ ู‡ุฐู‡
296
+
297
+ 75
298
+ 00:06:36,680 --> 00:06:41,320
299
+ ุงู„ู…ุดูƒู„ุงุช ุนู„ู‰ ุงู„ู…ุชุฃุซุฑุฉ ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ุงูƒุชุดุงู
300
+
301
+ 76
302
+ 00:06:41,320 --> 00:06:45,940
303
+ ุงู„ู‚ูŠุงุฏุงุช ุงู„ุดุนุจูŠุฉ ุงู„ุทุจูŠุนูŠุฉ ุงู„ู„ูŠ ูŠู…ูƒู† ุฃู† ุชุณู‡ู… ููŠ
304
+
305
+ 77
306
+ 00:06:45,940 --> 00:06:51,540
307
+ ู…ุณุงุนุฏุฉ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู„ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ
308
+
309
+ 78
310
+ 00:06:51,540 --> 00:06:55,780
311
+ ุจุนุงู†ูŠ ู…ู†ู‡ุง ุงู„ู…ุฌุชู…ุน ุทุจุนู‹ุง ุฅุญู†ุง ุนุงุฑููŠู† ุงู„ู‚ูŠุงุฏุงุช ู…ู‡ู…ู‘ุฉ
312
+
313
+ 79
314
+ 00:06:55,780 --> 00:07:00,920
315
+ ุฌุฏุง ุฃู† ู†ุชุนุฑู ุนู„ูŠู‡ู… ูˆุงูŠุถู‹ุง ู†ุณุชุนูŠู† ุจู‡ู… ููŠ ูˆุถุน ุงู„ุฎุทุท
316
+
317
+ 80
318
+ 00:07:00,920 --> 00:07:05,560
319
+ ูˆูˆุถุน ุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ู„ู„ู…ุฌุชู…ุน ูˆุชู†ููŠุฐู‡ุง ุฃูŠุถู‹ุง
320
+
321
+ 81
322
+ 00:07:05,560 --> 00:07:09,380
323
+ ู„ุฃู†ู‘ู‡ ุญู„ู‚ุฉ ุงู„ูˆุตู„ ู…ุง ุจูŠู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆู…ุง ุจูŠู†
324
+
325
+ 82
326
+ 00:07:09,380 --> 00:07:17,140
327
+ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ูŠุนู†ูŠ ุงู„ู‡ุฏู ู…ู†ู‡ุง ุงู„ู„ูŠ
328
+
329
+ 83
330
+ 00:07:17,140 --> 00:07:20,960
331
+ ู‡ูŠ ๏ฟฝ๏ฟฝู„ู…ุฑุญู„ุฉ ุงู„ุงุณุชูƒุดุงููŠุฉ ู‡ูŠ ุจู†ุงุก ุงู„ุซู‚ุฉ ุจูŠู† ู…ูŠู† ูˆู…ูŠู†
332
+
333
+ 84
334
+ 00:07:20,960 --> 00:07:25,920
335
+ ุจูŠู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆุจูŠู† ุงู„ู…ุฌุชู…ุน ูˆุณูƒุงู† ุงู„ู…ุฌุชู…ุน
336
+
337
+ 85
338
+ 00:07:25,920 --> 00:07:30,720
339
+ ู„ุฃู†ู‘ ุฃุณุงุณ ุงู„ุนู…ู„ ู„ุงุจุฏู‘ ุฃู† ูŠุจู†ู‰ ุนู„ู‰ ุซู‚ุฉ ู…ุชุจุงุฏู„ุฉ ู…ุง
340
+
341
+ 86
342
+ 00:07:30,720 --> 00:07:35,200
343
+ ุจูŠู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆู…ุง ุจูŠู† ุงู„ู…ุฌุชู…ุน ุฅุฐุง ู„ู… ุชูˆุฌุฏ
344
+
345
+ 87
346
+ 00:07:35,200 --> 00:07:40,400
347
+ ุซู‚ุฉ ู„ุง ูŠู…ูƒู† ุฃู† ูŠู‚ูˆู… ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุจุฏูˆุฑู‡ ูู„ุฐู„ูƒ
348
+
349
+ 88
350
+ 00:07:40,400 --> 00:07:45,310
351
+ ู„ุงุจุฏู‘ ู…ู† ุจู†ุงุก ุซู‚ุฉ ู…ุชุจุงุฏู„ุฉ ู…ุง ุจูŠู† ุงู„ู…ู†ุธู… ูˆู…ุง ุจูŠู†
352
+
353
+ 89
354
+ 00:07:45,310 --> 00:07:52,690
355
+ ุงู„ู…ุฌุชู…ุน ูˆุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ู‡ูŠ
356
+
357
+ 90
358
+ 00:07:52,690 --> 00:07:57,890
359
+ ุจุงุฎุชุตุงุฑ ู…ุฑุญู„ุฉ ุฏุฑุงุณูŠุฉ ู…ุฑุญู„ุฉ ุงุณุชูƒุดุงููŠุฉ ูŠุชุนุฑู ููŠู‡ุง
360
+
361
+ 91
362
+ 00:07:57,890 --> 00:08:02,130
363
+ ุงู„ุฃุฎุตุงุฆูŠ ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ูˆู…ุดูƒู„ุงุชู‡ ูˆุนุงุฏุงุชู‡ ูˆุชู‚ุงู„ูŠุฏู‡
364
+
365
+ 92
366
+ 00:08:02,130 --> 00:08:07,210
367
+ ูˆูŠุชุนุฑู ุนู„ู‰ ู‚ุงุฏุชู‡ ูˆู„ุฐู„ูƒ ูŠุนู†ูŠ ุชุณุงุนุฏ ุนู„ู‰ ุชุดุฎูŠุต
368
+
369
+ 93
370
+ 00:08:07,210 --> 00:08:15,550
371
+ ุงู„ู…ุดูƒู„ุฉ ุชุดุฎูŠุตู‹ุง ุฏู‚ูŠู‚ู‹ุง ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ ู…ุฑุญู„ุฉ ุงุชูุงู‚
372
+
373
+ 94
374
+ 00:08:15,550 --> 00:08:23,410
375
+ ุฃูˆ ุชุนุงู‚ุฏ ู…ุน ุงู„ู…ุฌุชู…ุน ูˆูˆุถุน ุงู„ุฎุทุฉ ุงู„ุงุชูุงู‚ ุฎู„ุงุต ุฏุฑุณู†ุง
376
+
377
+ 95
378
+ 00:08:23,410 --> 00:08:28,190
379
+ ูˆุนุฑูู†ุง ุงู„ุขู† ุฅูŠู‡ ุจุฏู†ุง ู†ุถุน ุฎุทุฉ ุงู„ู„ูŠ ู‡ูŠ ู„ู„ุงุชูุงู‚ ุชุนุงู‚ุฏ
380
+
381
+ 96
382
+ 00:08:28,190 --> 00:08:33,650
383
+ ู…ุน ุงู„ู…ุฌุชู…ุน ูˆูˆุถุน ุงู„ุฎุทุฉ ูˆุถุน ุงู„ุฎุทุฉ ุทุจุนู‹ุง ุงู„ู…ู†ุธู…ุฉ
384
+
385
+ 97
386
+ 00:08:33,650 --> 00:08:39,110
387
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุชุณุนู‰ ููŠ ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ุฅู„ู‰ ู…ุงุฐุงุŸ ุดุฑุญ ุทุจูŠุนุฉ
388
+
389
+ 98
390
+ 00:08:39,110 --> 00:08:43,090
391
+ ุฏูˆุฑ ุงู„ู…ู‡ู†ูŠ ุงู„ู„ูŠ ูŠู…ุงุฑุณู‡ ูˆุนุฑุถ ุงู„ุฃุณุงู„ูŠุจ ุงู„ู…ู†ุงุณุจุฉ
392
+
393
+ 99
394
+ 00:08:43,090 --> 00:08:47,630
395
+ ุจุงู„ุถุจุท ู„ุงุจุฏู‘ ุฃู† ูŠูˆุถุญ ู„ู„ู…ุฌุชู…ุน ุฏูˆุฑู‡ ุงู„ู…ู‡ู†ูŠ ู…ุง ู‡ูˆ ุฏูˆุฑ
396
+
397
+ 100
398
+ 00:08:47,630 --> 00:08:50,850
399
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุงู„ู…ู‡ู†ูŠ ุญุชู‰ ูŠุนุฑู ุงู„ู…ุฌุชู…ุน ู…ุง ู‡ูˆ ุฏูˆุฑ
400
+
401
+ 101
402
+ 00:08:50,850 --> 00:08:54,750
403
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆูŠุณุชุทูŠุน ุฃู† ูŠุชุนุงู…ู„ ู…ุน ุงู„ู…ู†ุธู…
404
+
405
+ 102
406
+ 00:08:54,750 --> 00:08:59,540
407
+ ุงู„ุงุฌุชู…ุงุนูŠ ูˆู‡ูƒุฐุง ุฃูŠุถู‹ุง ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ุชุนุฑู ุนู„ู‰
408
+
409
+ 103
410
+ 00:08:59,540 --> 00:09:04,140
411
+ ู†ูˆุนูŠุฉ ุงู„ุฃุฌู‡ุฒุฉ ุงู„ุชูŠ ุณูŠูุนู…ู„ ู…ุนู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ
412
+
413
+ 104
414
+ 00:09:04,140 --> 00:09:09,620
415
+ ูˆุงู„ุชุนุฑู ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฃุฌู‡ุฒุฉ ูˆู†ุธู…ู‡ุง ูˆุฃู†ูˆุงุนู‡ุง ูˆู‚ูˆุงู†ูŠู†ู‡ุง
416
+
417
+ 105
418
+ 00:09:09,620 --> 00:09:16,720
419
+ ูˆู†ุธุงู… ุงู„ุนู…ู„ ููŠู‡ุง ูˆู…ุตุงุฏุฑ ุชู…ูˆูŠู„ู‡ุง ุฅู„ู‰ ุบูŠุฑ ุฐู„ูƒ ุฃูŠุถู‹ุง
420
+
421
+ 106
422
+ 00:09:16,720 --> 00:09:20,740
423
+ ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ู„ูŠ ุงู„ู…ู†ุธู… ุจูŠุณุนู‰ ู„ูŠู‡ุง ููŠ ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ู‡ูŠ
424
+
425
+ 107
426
+ 00:09:20,740 --> 00:09:25,020
427
+ ุฎุทูˆุฉ ุงู„ุชุนุงู‚ุฏ ุฃูˆ ุงู„ุงุชูุงู‚ ููŠ ู…ุฑุญู„ุฉ ุงู„ุงุชูุงู‚ ุงู„ู„ูŠ ู‡ูŠ
428
+
429
+ 108
430
+ 00:09:25,020 --> 00:09:30,140
431
+ ุงู„ุงุญุชูŠุงุฌุงุช ูˆู†ูˆุนูŠุฉ ุงู„ู…ุณุชู†ุฏุงุช ูˆุงู„ุฃุฏูˆุงุช ุงู„ุชูŠ ุณูˆู
432
+
433
+ 109
434
+ 00:09:30,140 --> 00:09:35,860
435
+ ูŠุณุชุฎุฏู…ู‡ุงุŒ ู…ุง ู‡ูŠ ุงู„ุฃุฏูˆุงุช ูˆูƒุฐู„ูƒ ุงู„ุญุงู„ุงุช ุงู„ุชูŠ ูŠู…ูƒู†ู‡ู…
436
+
437
+ 110
438
+ 00:09:35,860 --> 00:09:40,900
439
+ ุงู„ุงุณุชุนุงู†ุฉ ููŠู‡ุง ุจู€ ู…ุณุชุดุงุฑูŠู† ุฃูˆ ู…ุชุทูˆู‘ุนูŠู† ู…ู† ุงู„ู…ุฌุชู…ุน
440
+
441
+ 111
442
+ 00:09:45,080 --> 00:09:49,080
443
+ ุจูŠุณุนู‰ ุงู„ู…ู†ุธู… ููŠ ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ุงู„ู„ูŠ ู‡ูŠ ุฎุทูˆุฉ ุงู„ุงุชูุงู‚
444
+
445
+ 112
446
+ 00:09:49,080 --> 00:09:53,200
447
+ ุฅู„ู‰ ู†ูˆุนูŠุฉ ุงู„ุฃุดุฎุงุต ุงู„ู„ูŠ ูŠู…ูƒู† ุงู„ุงุชุตุงู„ ุจู‡ู… ู„ุชุณู‡ูŠู„
448
+
449
+ 113
450
+ 00:09:53,200 --> 00:09:56,660
451
+ ู…ู‡ู…ู‘ุชู‡ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฎุจูŠุฑุฉ ุงู‡ ูŠุนู†ูŠ ุงู„ุฎุจุฑุงุก ูˆ
452
+
453
+ 114
454
+ 00:09:56,660 --> 00:10:00,580
455
+ ุงู„ู…ุฎุชุตูŠู† ูˆุฐูˆูŠ ุงู„ุฃุดูŠุงุก ูุฆุฉ ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ู„ู‡ู… ุนู„ุงู‚ุฉ
456
+
457
+ 115
458
+ 00:10:00,580 --> 00:10:04,240
459
+ ุจู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ุจุงุณุชุนูŠู† ุจูŠู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ู†ุธู…
460
+
461
+ 116
462
+ 00:10:04,240 --> 00:10:08,920
463
+ ุงู„ุงุฌุชู…ุงุนูŠ ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ู†ุนู… ูˆุฎุจุฑุงุก ุงู„ู…ุฌุชู…ุน ูˆ
464
+
465
+ 117
466
+ 00:10:08,920 --> 00:10:13,340
467
+ ุงู„ู…ุฎุชุตูŠู† ูƒู„ ุฐู„ูƒ ู‡ุฐุง ูƒู„ู‘ู‡ ู„ุงุจุฏู‘ ุฃู† ูŠุชุนุฑู ุนู„ูŠู‡ู… ุงู„ู„ูŠ
468
+
469
+ 118
470
+ 00:10:13,340 --> 00:10:14,620
471
+ ู‡ูˆ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ
472
+
473
+ 119
474
+ 00:10:17,450 --> 00:10:20,830
475
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู„ุงุจุฏู‘ ุฃู† ูŠูƒูˆู† ู…ุณุชุนุฏู‹ุง ููŠ ู‡ุฐู‡
476
+
477
+ 120
478
+ 00:10:20,830 --> 00:10:24,470
479
+ ุงู„ู…ุฑุญู„ุฉ ุฅู„ู‰ ุงู„ุฅุฌุงุจุฉ ุนู„ู‰ ุฃูŠ ุณุคุงู„ ูŠููˆุฌู‡ ุฅู„ูŠู‡ ู…ู†
480
+
481
+ 121
482
+ 00:10:24,470 --> 00:10:30,490
483
+ ุงู„ู…ุฌุชู…ุน ุฃูŠ ุงุณุชูุณุงุฑ ูŠููˆุฌู‡ ุฅู„ูŠู‡ ู„ุงุจุฏู‘ ุงู„ู…ู†ุธู… ุฃู† ูŠูƒูˆู†
484
+
485
+ 122
486
+ 00:10:30,490 --> 00:10:35,330
487
+ ู…ุณุชุนุฏู‹ุง ู„ู„ุฅุฌุงุจุฉ ุนู„ู‰ ุฃุณุฆู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ูˆุณูƒุงู†
488
+
489
+ 123
490
+ 00:10:35,330 --> 00:10:41,190
491
+ ุงู„ู…ุฌุชู…ุน ู…ุง
492
+
493
+ 124
494
+ 00:10:41,190 --> 00:10:43,210
495
+ ุงู„ู‡ุฏู ุงู„ุฃุณุงุณูŠ ู„ู‡ุฐู‡ ุงู„ุฎุทูˆุฉุŸ
496
+
497
+ 125
498
+ 00:11:02,750 --> 00:11:07,910
499
+ ู…ู† ุฎู„ุงู„ ู…ุงุฐุงุŸ ู…ู† ุฎู„ุงู„ ุฃูˆู„ู‹ุง
500
+
501
+ 126
502
+ 00:11:11,720 --> 00:11:16,100
503
+ ุฃูŠุถู‹ุง ุชุญุฏูŠุฏ ุงู„ุฌู‡ุงุฒ ูŠุนู†ูŠ ุงู„ู…ุคุณุณุฉ ุงู„ู…ุณุคูˆู„ุฉ ุนู† ุงู„ุนู…ู„
504
+
505
+ 127
506
+ 00:11:16,100 --> 00:11:20,680
507
+ ูƒุฐู„ูƒ ุชุญุฏูŠุฏ ุงู„ู…ุณุชูˆู‰ ุงู„ุฐูŠ ูŠุฎุชุงุฑู‡ ู„ู…ู‚ุงุจู„ุฉ ุงู„ู…ุดูƒู„ุฉ ู‡ู„
508
+
509
+ 128
510
+ 00:11:20,680 --> 00:11:26,020
511
+ ู‡ูˆ ู…ุณุชูˆู‰ ูˆู‚ุงุฆูŠ ู‡ู„ ู‡ูˆ ู…ุณุชูˆู‰ ูˆู‚ุงุฆูŠ ุซุงู†ูˆูŠ ููŠู‡ ู…ุณุชูˆู‰
512
+
513
+ 129
514
+ 00:11:26,020 --> 00:11:30,260
515
+ ูˆู‚ุงุฆูŠ ุฃูˆู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‡ุฏู ู„ู„ู‚ุถุงุก ุนู„ู‰ ุงู„ู…ุดูƒู„ุงุช ู‚ุถุงุก
516
+
517
+ 130
518
+ 00:11:30,260 --> 00:11:35,780
519
+ ุชู…ุงู…ู‹ุง ูู‡ุฐุง ู…ุณุชูˆู‰ ูˆู‚ุงุฆูŠ ุฃูˆู„ูŠ ููŠู‡ ู…ุณุชูˆู‰ ูˆู‚ุงุฆูŠ ุซุงู†ูˆูŠ
520
+
521
+ 131
522
+ 00:11:35,780 --> 00:11:40,200
523
+ ูˆู‡ุฐุง ุจูŠุณุนู‰ ุฅู„ู‰ ุงู„ุญุฏู‘ ู…ู† ุงู„ู†ุชุงุฆุฌ ุงู„ู„ูŠ ุจุชุชุฑุชุจ ุนู„ู‰
524
+
525
+ 132
526
+ 00:11:40,200 --> 00:11:45,490
527
+ ูˆุฌูˆุฏ ุงู„ู…ุดูƒู„ุฉ ู‡ุฐุง ููŠ ุนู†ุฏู†ุง ู…ุณุชูˆู‰ ุขุฎุฑ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูˆ
528
+
529
+ 133
530
+ 00:11:45,490 --> 00:11:49,130
531
+ ุงู„ู…ุณุชูˆู‰ ุงู„ุชุฃู‡ูŠู„ูŠ ุงู„ู…ุณุชูˆู‰ ุงู„ุชุฃู‡ูŠู„ูŠ ูˆู‡ูˆ ุนู„ุงุฌ ุงู„ุขุซุงุฑ
532
+
533
+ 134
534
+ 00:11:49,130 --> 00:11:54,970
535
+ ุงู„ุชูŠ ุชุฑุชุจุช ุนู„ู‰ ุงู„ู…ุดูƒู„ุฉ ุขุซุงุฑ ู…ุชุฑุชุจุฉ ุนู„ู‰ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง
536
+
537
+ 135
538
+ 00:11:54,970 --> 00:11:58,450
539
+ ุจุฏู†ุง ู†ุดูˆู ู†ุนุงู„ุฌ ู†ุชุงุฆุฌู‡ุง ู‡ุฐุง ุจู†ุณู…ู‘ูŠู‡ ุงู„ู…ุณุชูˆู‰
540
+
541
+ 136
542
+ 00:11:58,450 --> 00:12:03,690
543
+ ุงู„ุชุฃู‡ูŠู„ูŠ ูˆุฐู„ูƒ
544
+
545
+ 137
546
+ 00:12:03,690 --> 00:12:08,110
547
+ ู…ู† ุฎู„ุงู„ ู…ุงุฐุง ู…ู† ุฎู„ุงู„ ุชุญุฏูŠุฏ ุงุณุชุฑุงุชูŠุฌูŠุงุช ุงู„ุนู…ู„ ู…ุง ู‡ูŠ
548
+
549
+ 138
550
+ 00:12:08,110 --> 00:12:12,860
551
+ ุงุณุชุฑุงุชูŠุฌูŠุงุช ุงู„ุนู…ู„ ุงู„ู„ุงุฒู…ุฉ ุญูŠุซ ูŠุชู…ู‘ ููŠ ุถูˆุก ุงู„ุงุชูุงู‚
552
+
553
+ 139
554
+ 00:12:12,860 --> 00:12:18,240
555
+ ุงู„ุชุนุงู‚ุฏ ุงู„ู„ูŠ ู‡ูŠ ูุฑูŠู‚ ุงู„ุชุฏุฎู„ ู„ุฅุญุฏุงุซ ุงู„ุชุบูŠูŠุฑ ูˆุชุญุฏูŠุฏ
556
+
557
+ 140
558
+ 00:12:18,240 --> 00:12:22,840
559
+ ุงู„ุฌู‡ุฏ ุงู„ู…ุทู„ูˆุจ ู„ุชู‚ุทูŠุนู‡ ูˆู‚ูŠู…ู‡ ูˆู‚ูŠู…ุฉ ุงู„ุชูƒุงู„ูŠู ุงู„ู„ุงุฒู…ุฉ
560
+
561
+ 141
562
+ 00:12:22,840 --> 00:12:26,680
563
+ ู„ุฐู„ูƒ ุญูŠุซ ูŠุฎุชู„ู ุงู„ุนู…ู„ ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ูˆู‚ุงุฆูŠ ุนู†
564
+
565
+ 142
566
+ 00:12:26,680 --> 00:12:31,300
567
+ ุงู„ุชุฃู‡ูŠู„ ุงู„ู…ุณุชูˆู‰ ุงู„ูˆู‚ุงุฆูŠ ุบูŠุฑู‡ ุฃู…ุง ุงู„ุชุฃู‡ูŠู„ ุฎู„ุงุต ูˆู‚ุช
568
+
569
+ 143
570
+ 00:12:31,300 --> 00:12:35,140
571
+ ุงู„ู…ุดูƒู„ุฉ ูุจุฏู†ุง ู†ุนุงู„ุฌ ุงู„ู…ุดูƒู„ุฉ ุชุฃู‡ูŠู„ ูู‡ุฐุง ุจุชุทู„ุจ
572
+
573
+ 144
574
+ 00:12:35,140 --> 00:12:38,440
575
+ ุงู„ู…ุฑุงุญู„ ุงู„ุชุฃู‡ูŠู„ูŠุฉ ู„ู„ู…ุฌุชู…ุน ููŠ ุนู†ุฏู†ุง ุชุญุฏูŠุฏ
576
+
577
+ 145
578
+ 00:12:38,440 --> 00:12:43,290
579
+ ุงู„ุฃูˆู„ูˆูŠุงุช ุงู„ุนู…ู„ ูˆู‡ู†ุง ู„ุงุจุฏู‘ ุฃุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุญุฏูŠุฏ
580
+
581
+ 146
582
+ 00:12:43,290 --> 00:12:48,290
583
+ ู„ุฃูˆู„ูˆูŠุงุช ุงู„ุนู…ู„ ู…ู† ุฎู„ุงู„ ุชุญุฏูŠุฏ ุนุฏุฏ ุงู„ู…ุณุชููŠุฏูŠู† ู…ู†
584
+
585
+ 147
586
+ 00:12:48,290 --> 00:12:52,830
587
+ ุงู„ุนู…ู„ ุงู„ู…ู‡ู†ูŠ ูˆุงูŠุถู‹ุง ู†ูˆุนูŠุฉ ุงู„ู†ุชุงุฆุฌ ุงู„ุชูŠ ุณูˆู ุชุญุฏุซ
588
+
589
+ 148
590
+ 00:12:52,830 --> 00:12:58,330
591
+ ูˆู…ุฏู‰ ุชูˆูุฑ ุงู„ู…ูˆุงุฑุฏ ุงู„ู„ุงุฒู…ุฉ ู„ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช ูˆู…ุฏู‰
592
+
593
+ 149
594
+ 00:12:58,330 --> 00:13:02,390
595
+ ุงุณุชุนุฏุงุฏ ุงู„ุฌู‡ุงุช ุงู„ู…ุณุคูˆู„ุฉ ู„ู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ู„ู„ุฃุฎุตุงุฆูŠ
596
+
597
+ 150
598
+ 00:13:02,390 --> 00:13:06,890
599
+ ุงู„ุงุฌุชู…ุงุนูŠ ุงู„ู…ุนู…ู„ ู‡ุฐู‡ ูƒู„ู‘ู‡ุง ูŠุนู†ูŠ ู…ุทู„ูˆุจุฉ
600
+
601
+ 151
602
+ 00:13:06,890 --> 00:13:12,250
603
+ ู„ู„ุงุณุชุฑุงุชูŠุฌูŠุงุช ูˆุงู„ุฃูˆู„ูˆูŠุงุช ุจู†ู‚ูˆู„ ุฎู„ุตู†ุง ู…ู† ู…ุฑุญู„ุฉ
604
+
605
+ 152
606
+ 00:13:12,250 --> 00:13:18,030
607
+ ุงู„ุงุชูุงู‚ ุงู„ู„ูŠ ู‡ูŠ ูˆุถุน ุงู„ุฎุทู‘ุฉ ุชุดุจู‡ ููŠ ูˆุฌู‡ุฉ ู†ุธุฑ
608
+
609
+ 153
610
+ 00:13:18,030 --> 00:13:21,530
611
+ ุงู„ุนู„ู…ุงุก
612
+
613
+ 154
614
+ 00:13:21,530 --> 00:13:25,550
615
+ ุงู„ุฃุฎุฑูŠู† ุงู„ู„ูŠ ู‡ูŠ ูˆุถุน ุงู„ุฎุทู‘ุฉ ุงู„ุงุชูุงู‚ ู‡ูŠ ูˆุถุน ุงู„ุฎุทู‘ุฉ
616
+
617
+ 155
618
+ 00:13:25,550 --> 00:13:29,530
619
+ ูˆุงู„ุงุชูุงู‚ ู…ุน ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฎุทู‘ุฉ ูˆุงู„ู‚ูŠุงู…
620
+
621
+ 156
622
+ 00:13:29,530 --> 00:13:35,210
623
+ ุจุชู†ููŠุฐู‡ุงุŒ ุฅุฐุง ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู„ุซุฉ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
624
+
625
+ 157
626
+ 00:13:35,210 --> 00:13:39,790
627
+ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ู‡ุฐุง ุจุชุณู…ู‘ู‰ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุชู†ููŠุฐ ุงู„ุนู…ู„
628
+
629
+ 158
630
+ 00:13:39,790 --> 00:13:46,530
631
+ ูŠุนู†ูŠ ุชู†ููŠุฐ ุงู„ุฎุทุฉ ุชู†ููŠุฐ ู…ุง ุชู…ู‘ ูˆุถุนู‡ ู…ู† ุฎุทุท ูˆุงุถุญ
632
+
633
+ 159
634
+ 00:13:46,530 --> 00:13:51,650
635
+ ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ุจู†ุณู…ู‘ูŠู‡ุง ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ูˆู‡ุฐุง ู‡ูŠ ุจุฏุงูŠุฉ
636
+
637
+ 160
638
+ 00:13:51,650 --> 00:13:55,690
639
+ ุงู„ุนู…ู„ ูู„ุฐู„ูƒ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู‡ู†ุง ุจูŠู‚ูˆู… ุจุงู„ุชู†ููŠุฐ
640
+
641
+ 161
642
+ 00:13:55,690 --> 00:14:01,340
643
+ ุงู„ูุนู„ูŠ ุจุจุฑู†ุงู…ุฌ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุฃูˆ ู…ุง ุชู…ู‘ ุงู„ุงุชูุงู‚ ุนู„ูŠู‡
644
+
645
+ 162
646
+ 00:14:01,340 --> 00:14:06,160
647
+ ู…ุน ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุงุชูุงู‚ ู‡ู†ุง ุจุชุชู…ู‘
648
+
649
+ 163
650
+ 00:14:06,160 --> 00:14:11,040
651
+ ุงู„ุชู†ููŠุฐ ู…ุง ุชู…ู‘ ุงู„ุงุชูุงู‚ ุนู„ูŠู‡ ู…ุง ุจูŠู† ุงู„ู…ู†ุธู… ูˆู…ุง ุจูŠู†
652
+
653
+ 164
654
+ 00:14:11,040 --> 00:14:20,980
655
+ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู…ุฑุญู„ุฉ ุงู„ุชุฏุฎู„ ุชุชุถู…ู† ุฎุทูˆุงุช ุฅูŠุด ู‡ูŠ
656
+
657
+ 165
658
+ 00:14:20,980 --> 00:14:24,420
659
+ ุงู„ุฌูˆุงู†ุจ ุชุชุถู…ู†ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุชุถุงู…ู† ุงู„ู„ูŠ ู‡ูŠ
660
+
661
+ 166
662
+ 00:14:24,420 --> 00:14:26,420
663
+ ู…ุฑุญู„ุฉ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ
664
+
665
+ 167
666
+ 00:14:32,990 --> 00:14:38,130
667
+ ุญุฏู‘ุฏู†ุง ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง ู…ู† ู‡ู†ุง ุจุฏู†ุง ู†ุจุฏุฃ ู…ุน ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ
668
+
669
+ 168
670
+ 00:14:38,130 --> 00:14:43,690
671
+ ุชู…ู‘ ุชุญุฏูŠุฏู‡ุง ุฃูˆู„ ุฎุทูˆุฉ ู‡ุฐุง ุงู„ุฌุงู†ุจ ุงู„ุฃูˆู„ ู…ู† ุฌูˆุงู†ุจ
672
+
673
+ 169
674
+ 00:14:43,690 --> 00:14:47,510
675
+ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ู‡ูˆ ุงู„ุจุฏุก ู…ุน ุงู„ู…ุดูƒู„ุงุช ุงู„ุชูŠ ุชู…ู‘ ุชุญุฏูŠุฏู‡ุง
676
+
677
+ 170
678
+ 00:14:47,510 --> 00:14:53,250
679
+ ุญุณุจ ุฃู‡ู…ูŠุชู‡ุง ุญุณุจ ุฃูˆู„ูˆูŠุงุชู‡ุง ุญุณุจ ู…ุฏู‰ ุชุฃุซูŠุฑู‡ุง ุนู„ู‰ ุณูƒุงู†
680
+
681
+ 171
682
+ 00:14:53,250 --> 00:14:58,530
683
+ ุงู„ู…ุฌุชู…ุน ูู‡ู†ุง ุงู„ุชุญุฏูŠุฏ ูŠุนู†ูŠ ู†ุจุฏุฃ ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช
684
+
685
+ 172
686
+ 00:14:58,530 --> 00:15:03,410
687
+ ุงู„ุชูŠ ุชู…ู‘ ุชุญุฏูŠุฏู‡ุง ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ุชุฑุฌู…ุฉ ุงู„ุฃู‡ุฏุงู ุฅู„ู‰
688
+
689
+ 173
690
+ 00:15:03,410 --> 00:15:09,270
691
+ ูˆุงู‚ุน ุนู…ู„ูŠ ุทู„ุณ ุชู†ููŠุฐูŠ ุฅู„ู‰ ุชู†ููŠุฐ ุชุทุจูŠู‚ ุนู…ู„ูŠ ู„ุญู„ู‘
692
+
693
+ 174
694
+ 00:15:09,270 --> 00:15:13,090
695
+ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชู‚ูŠูŠู… ุงู„ุฏู‚ูŠู‚ ู„ู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุฑูˆุนุงุช ุงู„ู„ูŠ ุชุชู…ู‘
696
+
697
+ 175
698
+ 00:15:13,090 --> 00:15:17,530
699
+ ูˆุถุนู‡ุง ู„ุญู„ู‘ ุงู„ู…ุดูƒู„ุฉ ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ุจุฏู†ุง ู†ุนู…ู„ ุชู‚ูŠูŠู…
700
+
701
+ 176
702
+ 00:15:17,530 --> 00:15:22,550
703
+ ู„ู‡ุฐู‡ ุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ุงู„ู„ุงุฒู…ุฉ ู„ุญู„ู‘ ู…ุดูƒู„ุฉ ุงู„ู…ุฌุชู…ุน
704
+
705
+ 177
706
+ 00:15:
707
+
708
+ 216
709
+ 00:18:49,410 --> 00:18:55,030
710
+ ุงู„ุชุฎุทูŠุท ุฅู„ูŠู‡ ู…ู†ุงุณุจ ูˆู…ู‚ุจูˆู„ ู„ู„ู…ุฌุชู…ุน ูˆู„ู…ุคุณุณุงุช ุงู„ุนุงู…ู„ุฉ
711
+
712
+ 217
713
+ 00:18:55,030 --> 00:19:01,790
714
+ ููŠ ุงู„ู…ุฌุชู…ุน ุณูˆุงุก ูƒุงู† ุฐู„ูƒ ููŠ ู†ูˆุนูŠุฉ ุงู„ุจุฑุงู…ุฌ ุฃูˆ ุชุนุฏูŠู„
715
+
716
+ 218
717
+ 00:19:01,790 --> 00:19:08,330
718
+ ุงู„ุณู„ูˆูƒ ุฃูˆ ุชุทูˆูŠุฑ ุงู„ู…ุดุฑูˆุนุงุช ูˆุงู„ุจุฑุงู…ุฌ ุฃูŠุถู‹ุง ููŠ ุนู†ุฏู†ุง
719
+
720
+ 219
721
+ 00:19:08,330 --> 00:19:13,750
722
+ ุฃุญูŠุงู†ู‹ุง ุฅุฒุงู„ุฉ ู†ู‚ุทุฉ ุงู„ุชุฌู…ูŠู„ ูˆู‡ุฐุง ุทุจุนู‹ุง ู…ู† ุฎู„ุงู„ ุจู†ุงุก
723
+
724
+ 220
725
+ 00:19:13,750 --> 00:19:17,350
726
+ ุฌุฏูŠุฏ ู„ุจุฑุงู…ุฌ ุงู„ุฎุฏู…ุงุช ูˆุฅุฌุฑุงุกุงุช ุงู„ุนู…ู„ ูˆุงู„ุนู„ุงู‚ุงุช
727
+
728
+ 221
729
+ 00:19:17,350 --> 00:19:18,090
730
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ
731
+
732
+ 222
733
+ 00:19:20,510 --> 00:19:24,790
734
+ ู‡ู†ุง ุทุจุนู‹ุง ู„ู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ู…ู† ุฏูˆุฑู‡ ุฃูˆ ูˆุงุฌุจู‡ ุฃู†
735
+
736
+ 223
737
+ 00:19:24,790 --> 00:19:28,330
738
+ ูŠุนู…ู„ ุนู„ู‰ ู…ุฏู‰ ุนู„ู‰ ุชูˆููŠุฑ ุงู„ุธุฑูˆู ุงู„ู…ู„ุงุฆู…ุฉ ุฏุงุฎู„
739
+
740
+ 224
741
+ 00:19:28,330 --> 00:19:32,270
742
+ ุงู„ู…ู†ุธู…ุฉ ุฃูˆ ุงู„ู…ุคุณุณุฉ ุงู„ุชูŠ ูŠุนู…ู„ ุจู‡ุง ูƒูŠ ูŠุณุชุทูŠุน ุฃู†
743
+
744
+ 225
745
+ 00:19:32,270 --> 00:19:37,170
746
+ ูŠุณุงุนุฏ ุงู„ู…ุณุชููŠุฏูŠู† ุจุฃูุถู„ ู…ุง ูŠู…ูƒู† ูˆูŠุถู…ู† ูˆุตูˆู„ ุงู„ุฎุฏู…ุงุช
747
+
748
+ 226
749
+ 00:19:37,170 --> 00:19:41,070
750
+ ุฅู„ู‰ ู…ุณุชุญู‚ู‡ุงุŒ ุฃูŠ ุฏูˆุฑ ุงู„ู…ู†ุธู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ ุฏุงุฎู„
751
+
752
+ 227
753
+ 00:19:41,070 --> 00:19:46,770
754
+ ุงู„ู…ุคุณุณุฉุŒ ู„ุงุจุฏ ุฃู† ูŠุนุชุจุฑ ุฐู„ูƒ ููŠ
755
+
756
+ 228
757
+ 00:19:46,770 --> 00:19:52,750
758
+ ุนู†ุฏู†ุง ู…ู‚ุงูˆู…ุฉ ู…ู‚ุงูˆู…ุงุช ูŠุนู†ูŠ ุชุชูˆุงุฌู‡ ุนู…ู„ูŠุฉ ุงู„ุชุฏุฎู„
759
+
760
+ 229
761
+ 00:19:52,750 --> 00:19:57,710
762
+ ุงู„ู…ู‡ู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ูŠ ู…ุด ู…ุนู„ูˆู…ุงุช ู‡ูŠ ู…ู‚ุงูˆู…ุฉ
763
+
764
+ 230
765
+ 00:19:57,710 --> 00:20:03,290
766
+ ุงู„ู…ุนูˆู‘ู‚ุงุช ู…ู…ูƒู† ุชู‚ูˆู„ ู…ุนูˆู‘ู‚ุงุช ุงู„ู…ุนูˆู‚ุงุช ุงู„ู„ูŠ ุจุชูˆุงุฌู‡
767
+
768
+ 231
769
+ 00:20:03,290 --> 00:20:09,410
770
+ ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ู…ุนูˆู‚ุงุช ุทุจุนู‹ุง ู‡ู†ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุจูŠุฌุฏ
771
+
772
+ 232
773
+ 00:20:09,410 --> 00:20:14,850
774
+ ู…ู‚ุงูˆู…ุฉ ู…ู† ุฌุงู†ุจ ู…ู† ุฃุญูŠุงู†ู‹ุง ุนู†ุฏู…ุง ูŠุชุฏุฎู„ ู…ู‡ู†ูŠู‹ุง ู‚ุฏ ูŠุฌุฏ
775
+
776
+ 233
777
+ 00:20:14,850 --> 00:20:19,380
778
+ ู…ู‚ุงูˆู…ุฉ ู…ู† ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ุนู†ุฏู…ุง ูŠุฑูŠุฏ ุฃู† ูŠุชุฏุฎู„ ู…ู† ุฃุฌู„
779
+
780
+ 234
781
+ 00:20:19,380 --> 00:20:24,680
782
+ ุงู„ุฅุตู„ุงุญ ุฃูˆ ุนู„ุงุฌ ุฃูŠ ู…ุดูƒู„ุฉ ูู„ุฐู„ูƒ ู‡ุฐู‡ ุฃู‡ู… ุดูŠุก ุงู„ู„ูŠ ู‡ูŠ
783
+
784
+ 235
785
+ 00:20:24,680 --> 00:20:30,860
786
+ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู† ุฌุงู†ุจ ุจุนุถ ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง ุจุชูƒูˆู† ุนู„ู‰
787
+
788
+ 236
789
+ 00:20:30,860 --> 00:20:35,240
790
+ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ ุฃูˆ ู…ู† ุจุนุถ ุฃุนุถุงุก ุงู„ุฌู‡ุงุฒ ุงู„ุฅุฏุงุฑูŠ ุฃูŠุถู‹ุง
791
+
792
+ 237
793
+ 00:20:35,240 --> 00:20:39,100
794
+ ููŠ ุงู„ู…ุคุณุณุงุช ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู…ุคุณุณุงุช ูˆู‡ุฐู‡ ุธุงู‡ุฑุฉ ุทุจูŠุนูŠุฉ
795
+
796
+ 238
797
+ 00:20:39,100 --> 00:20:45,200
798
+ ู„ูŠู‡ุŸ ู„ุฃู† ูˆุฌูˆุฏ ุดุฎุต ุฌุฏูŠุฏ ุฏุงุฆู…ู‹ุง ูŠุนู†ูŠ ุงู„ู…ุฌุชู…ุน ู…ู…ูƒู†
799
+
800
+ 239
801
+ 00:20:45,200 --> 00:20:49,860
802
+ ูŠุชู‚ุจู„ู‡ ุฃูˆ ู„ุง ูŠุชู‚ุจู„ู‡ุŒ ูู„ุฐู„ูƒ ุจูŠูƒูˆู† ู…ุชุฎูˆู ุงู„ู…ุฌุชู…ุน ู…ู†ู‡ุŒ
803
+
804
+ 240
805
+ 00:20:49,860 --> 00:20:55,560
806
+ ูู„ุฐู„ูƒ ุจุชุญุฏุซ ู‡ุฐุง ู…ู† ุถู…ู† ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู† ู‚ุจู„ ุงู„ู„ูŠ ู‡ูˆ
807
+
808
+ 241
809
+ 00:20:55,560 --> 00:21:00,000
810
+ ุงู„ุนุงู…ู„ูŠู† ููŠ ุงู„ู…ุคุณุณุฉ ุฃูˆ ู‚ูŠุงุฏุฉ ุงู„ู…ุฌุชู…ุน ู„ู‡ุฐุง ุงู„ู…ู†ุธู…
811
+
812
+ 242
813
+ 00:21:00,900 --> 00:21:04,940
814
+ ุฃุชู‰ ู„ู‡ู… ู…ู† ุฃุฌู„ ู…ุณุงุนุฏุชู‡ู… ุนู„ู‰ ุญู„ ู…ุดูƒู„ุชู‡ู… ูˆู‡ุฐุง ุงู„ุดูŠุก
815
+
816
+ 243
817
+ 00:21:04,940 --> 00:21:09,800
818
+ ุงู„ุทุจูŠุนูŠ ูŠุนู†ูŠ ู„ูŠุณ ุฌุฏูŠุฏู‹ุง ูู‡ู†ุง ุทุจุนู‹ุง ูˆุฌูˆุฏ ุดุฎุต ุฌุฏูŠุฏ ููŠ
819
+
820
+ 244
821
+ 00:21:09,800 --> 00:21:14,140
822
+ ุงู„ู…ุฌุชู…ุน ุฃูˆ ุงู„ู…ุคุณุณุฉ ู‚ุฏ ูŠุคุซุฑ ุนู„ู‰ ุจู†ูŠุชู‡ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู„ูŠู‡ุŸ
823
+
824
+ 245
825
+ 00:21:14,140 --> 00:21:17,800
826
+ ู„ุฃู† ุงุชุฌุงู‡ุงุช ูˆุณู„ูˆูƒ ู‡ุฐุง ุงู„ุดุฎุต ุงู„ุฌุฏูŠุฏ ุบูŠุฑ ู…ุนุฑูˆู ู„ุฏู‰
827
+
828
+ 246
829
+ 00:21:17,800 --> 00:21:22,340
830
+ ู…ู†ุŸ ู„ุฏู‰ ุงู„ู‚ุงุฏุฉ ูˆู„ุฏู‰ ุงู„ุฌู‡ุงุฒ ุงู„ุฅุฏุงุฑูŠ ุฏุงุฎู„ ุงู„ู…ุคุณุณุฉ
831
+
832
+ 247
833
+ 00:21:22,340 --> 00:21:26,130
834
+ ู„ุง ูŠุนุฑููˆู† ุทุจูŠุนุฉ ุงู„ุชุบูŠูŠุฑ ุงู„ุฐูŠ ูŠุฑูŠุฏ ุฃู† ูŠุญุฏุซู‡ ูˆู…ุง ู‡ูŠ
835
+
836
+ 248
837
+ 00:21:26,130 --> 00:21:30,450
838
+ ุงู„ู…ูƒุงุณุจ ุฃูˆ ุงู„ุฎุณุงุฑุฉ ุงู„ุชูŠ ุณูˆู ุชุญุฏุซ ู†ุชูŠุฌุฉ ูˆุฌูˆุฏู‡ ูƒู…ุง
839
+
840
+ 249
841
+ 00:21:30,450 --> 00:21:34,850
842
+ ู‚ุฏ ูŠูƒูˆู† ุงู„ุฎูˆู ู†ุงุชุฌู‹ุง ุนู† ู…ุง ุณูˆู ูŠุญุฏุซ ู†ุชูŠุฌุฉ ูˆุฌูˆุฏู‡ ู…ู†
843
+
844
+ 250
845
+ 00:21:34,850 --> 00:21:38,970
846
+ ุชู‡ุฏูŠุฏ ู„ุจุนุถ ู…ูƒุงู†ุงุช ุงู„ู‚ุงุฏุฉ ุฃูˆ ู…ูƒุงู†ุงุช ุงู„ุนุงู…ู„ูŠู† ููŠ
847
+
848
+ 251
849
+ 00:21:38,970 --> 00:21:42,590
850
+ ุงู„ุฌู‡ุงุฒ ุงู„ุฅุฏุงุฑูŠ ููŠ ุงู„ู…ุคุณุณุฉ ูู„ุฐู„ูƒ ู‡ู†ุง ุจุชุฎูˆููˆุง ู…ู† ุนู…ู„
851
+
852
+ 252
853
+ 00:21:42,590 --> 00:21:48,610
854
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู„ู‰ ู‡ุฐุง ุทุจุนู‹ุง ู‡ู†ุง ูŠูˆุฌุฏ ู†ูˆุนุงู† ู…ู†
855
+
856
+ 253
857
+ 00:21:48,610 --> 00:21:56,100
858
+ ุงู„ู…ุนูˆู‘ู‚ุงุช ู‚ุฏ ุชุนุชุฑุถ ุงู„ู…ุฌู‡ูˆุฏุงุช ุงู„ุชู†ููŠุฐูŠุฉ ู…ุง ู‡ู…ุงุŸ ู…ุนูˆู‚ุงุช
859
+
860
+ 254
861
+ 00:21:56,100 --> 00:21:59,320
862
+ ุฑุงุฌุนุฉ ุฅู„ู‰ ู…ู…ุงุฑุณูŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู„ูŠ ู‡ูˆ
863
+
864
+ 255
865
+ 00:21:59,320 --> 00:22:00,980
866
+ ุงู„ู…ู†ุธู…ูŠู† ุงู„ุงุฌุชู…ุงุนูŠูŠู†
867
+
868
+ 256
869
+ 00:22:04,280 --> 00:22:08,660
870
+ ู…ุนูˆู‚ุงุช ุฑุงุฌุนุฉ ู„ู…ู…ุงุฑุณูŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆููŠ ุงู„ู†ูˆุน
871
+
872
+ 257
873
+ 00:22:08,660 --> 00:22:13,080
874
+ ุงู„ุซุงู†ูŠ ู…ุนูˆู‚ุงุช ุฑุงุฌุนุฉ ู„ู„ู…ุฌุชู…ุนุŒ ุจุฏู†ุง ู†ุดูˆู ุงู„ู…ุนูˆู‚ุงุช
875
+
876
+ 258
877
+ 00:22:13,080 --> 00:22:16,800
878
+ ุงู„ู„ูŠ ุฑุงุฌุนุฉ ู„ู…ู…ุงุฑุณูŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ ุฅูŠุด ุจู†ุดูˆู
879
+
880
+ 259
881
+ 00:22:16,800 --> 00:22:19,620
882
+ ุงู„ู…ุนูˆู‚ุงุช ู‡ุฐู‡ุŸ ู…ุง ู‡ูŠ ุงู„ู…ุนูˆู‚ุงุช ุจุงู„ู†ุณุจุฉ ู„ู…ู…ุงุฑุณูŠ
883
+
884
+ 260
885
+ 00:22:19,620 --> 00:22:23,040
886
+ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉุŸ ู†ู‚ุต ุนุฏุฏ ุงู„ุฃุฎุตุงุฆูŠูŠู†ุŸ ู…ู…ูƒู† ูŠูƒูˆู†
887
+
888
+ 261
889
+ 00:22:23,040 --> 00:22:29,540
890
+ ู†ู‚ุตุŒ ู†ู‚ุต ุนุฏุฏ ุงู„ุฃุฎุตุงุฆูŠูŠู†ุŒ ุทุจุนู‹ุง ู†ู‚ุต ู…ู† ุฐูˆูŠ ุงู„ูƒูุงุกุฉุŒ
891
+
892
+ 262
893
+ 00:22:29,540 --> 00:22:31,040
894
+ ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉุŸ
895
+
896
+ 263
897
+ 00:22:38,890 --> 00:22:42,270
898
+ ูŠุนู†ูŠ ุถุนู ุงู„ุฅุทุงุฑ ุงู„ู†ุธุฑูŠ ุฃูˆ ุงู„ุชุตูˆุฑ ุงู„ู„ูŠ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡
899
+
900
+ 264
901
+ 00:22:42,270 --> 00:22:45,450
902
+ ุงู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ุฃูˆ ุงู„ู…ู†ุธู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฃูŠูˆุฉ ู…ู†
903
+
904
+ 265
905
+ 00:22:45,450 --> 00:22:48,870
906
+ ูƒุฐู„ูƒ ู‚ู„ุฉ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ุงู„ูŠุฉ ุงู„ู…ุฎุตุตุฉ ุฃูŠุถู‹ุง ู…ู† ุถู…ู†
907
+
908
+ 266
909
+ 00:22:48,870 --> 00:22:54,490
910
+ ุงู„ู…ุนูˆู‘ู‚ุงุช ู„ู„ู…ู…ุงุฑุณูŠู† ู‚ู„ุฉ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ุงุฏูŠุฉ
911
+
912
+ 267
913
+ 00:22:54,490 --> 00:23:04,050
914
+ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุณุชุนูŠู† ุจู‡ุง ุงู„ู…ู†ุธู… ููŠ ุฅุนุงุฏุฉ ุงู„ู…ุดูƒู„ุฉ ุถุนู
915
+
916
+ 268
917
+ 00:23:04,050 --> 00:23:07,650
918
+ ุงู„ู…ุคุณุณุงุช ุงู„ุฎุงุตุฉ ุจุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุนุฏู… ุงู„ุงุนุชุฑุงู
919
+
920
+ 269
921
+ 00:23:07,650 --> 00:23:11,530
922
+ ุจุงู„ู…ู‡ุงู… ุงู„ุชูŠ ุชู‚ูˆู… ุจู‡ุง ุฃุญูŠุงู†ู‹ุง ู‚ุฏ ู†ุฌุฏ ูŠุนู†ูŠ ู…ู‚ุงูˆู…ุฉ
923
+
924
+ 270
925
+ 00:23:11,530 --> 00:23:14,930
926
+ ู„ู…ุคุณุณุงุช ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ุงู„ู…ุฌุชู…ุน ู†ุนู… ุฃูŠูˆุฉ
927
+
928
+ 271
929
+ 00:23:14,930 --> 00:23:18,330
930
+ ุชุดูƒูŠูƒ ููŠ ู‚ุฏุฑุงุช ุงู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ู…ู† ุฌุงู†ุจ ุงู„ู…ุณุคูˆู„ูŠู†
931
+
932
+ 272
933
+ 00:23:18,330 --> 00:23:21,350
934
+ ูˆู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ุจุงู„ุถุจุท ูŠู‚ูˆู„ูˆุง ู…ูŠู† ู‡ุฐุง ุงู„ุฃุฎุตุงุฆูŠ ูŠุนู†ูŠ
935
+
936
+ 273
937
+ 00:23:21,350 --> 00:23:26,290
938
+ ูู„ุฐู„ูƒ ุชุดูƒูŠูƒ ููŠ ุฏูˆุฑู‡ ู…ู† ู‚ุจู„ ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ู…ู† ู‚ุจู„
939
+
940
+ 274
941
+ 00:23:26,290 --> 00:23:30,230
942
+ ุจุนุถ ุงู„ุนุงู…ู„ูŠู† ููŠ ุงู„ู…ุคุณุณุงุช ู‡ุฐู‡ ูƒู„ู‡ุง ู…ุนูˆู‚ุงุช ุจุชูƒูˆู†
943
+
944
+ 275
945
+ 00:23:30,230 --> 00:23:34,530
946
+ ู„ุนู…ู„ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู‡ุฐู‡ ู‡ูŠ
947
+
948
+ 276
949
+ 00:23:34,530 --> 00:23:35,790
950
+ ุงู„ู…ุนูˆู‘ู‚ุงุช ุงู„ู…ู…ูƒู†
951
+
952
+ 277
953
+ 00:23:53,700 --> 00:23:58,860
954
+ ู…ู‚ุงูˆู…ุฉ ุจุนุถ ุงู„ู‚ูŠุงุฏุงุช ู„ุฌู‡ูˆุฏ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุญุชู‰ ู„ุง
955
+
956
+ 278
957
+ 00:23:58,860 --> 00:24:00,220
958
+ ุชู‡ุฏุฏ ู…ูƒุงู†ุชู‡ู…
959
+
960
+ 279
961
+ 00:24:03,760 --> 00:24:08,080
962
+ ู…ู† ุถู…ู† ุงู„ู…ุนูˆู‘ู‚ุงุช ุงู„ุฑุงุฌุนุฉ ู„ู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃูŠุถู‹ุงุŸ ููˆุฌูˆุฏ
963
+
964
+ 280
965
+ 00:24:08,080 --> 00:24:11,980
966
+ ุจุนุถ ุงู„ู‚ูŠู… ุงู„ู…ุนูˆู‘ู‚ุฉ ู„ุนู…ู„ูŠุงุช ุงู„ุชู†ู…ูŠุฉ ุทุจุนู‹ุง ุงู„ุชูˆุงูƒู„
967
+
968
+ 281
969
+ 00:24:11,980 --> 00:24:18,220
970
+ ุงู„ุณู„ุจูŠุฉุŒ ุนุฏู… ุงู„ู…ุดุงุฑูƒุฉุŒ ู‡ุฐู‡ ู‚ูŠู… .. ู‡ุฐู‡ ูƒู„ู‡ุง ุฃูŠุถู‹ุง
971
+
972
+ 282
973
+ 00:24:18,220 --> 00:24:22,080
974
+ ู…ู† ุงู„ู‚ูŠู… ุงู„ู…ุนูˆู‘ู‚ุฉ ู„ุนู…ู„ูŠุงุช ุงู„ุชู†ู…ูŠุฉ ู…ุงุฐุง ุฃูŠุถู‹ุง ุนู†
975
+
976
+ 283
977
+ 00:24:22,080 --> 00:24:27,560
978
+ ู…ุนูˆู‚ุงุช ุงู„ุฑุงุฌุนุฉ ู„ู„ู…ุฌุชู…ุนุŸ ุนุฏู… ุชูˆุงูุฑ ุงู„ู…ูˆุงุฑุฏ ุงู„ูู†ูŠุฉ
979
+
980
+ 284
981
+ 00:24:27,560 --> 00:24:31,440
982
+ ุงู„ู„ุงุฒู…ุฉ ู„ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุฉ ุงู„ุชูŠ ูŠุนุงู†ูŠ ู…ู†ู‡ุง ุนุฏู… ุชูˆุงูุฑ
983
+
984
+ 285
985
+ 00:24:31,440 --> 00:24:36,860
986
+ ุงู„ู…ูˆุงุฑุฏ ุงู„ูู†ูŠุฉ ุงู„ู„ุงุฒู…ุฉ ู„ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ุจูŠุนุงู†ูŠ
987
+
988
+ 286
989
+ 00:24:36,860 --> 00:24:40,820
990
+ ู…ู†ู‡ุง ุงู„ู…ุฌุชู…ุนุŒ ุฃูŠุถู‹ุง ู…ู† ุถู…ู† ุงู„ู…ุดูƒู„ุงุช ู‡ุฐู‡ ู…ุนูˆู‚ุงุช
991
+
992
+ 287
993
+ 00:24:40,820 --> 00:24:48,760
994
+ ุฑุงุฌุนุฉ ู„ู„ู…ุฌุชู…ุนุŒ ุถุนู ุงู„ู…ุคุณุณุงุช ุงู„ู…ุญู„ูŠุฉ ุบูŠุฑ ุงู„ุงุฌุชู…ุงุนูŠุฉ
995
+
996
+ 288
997
+ 00:24:48,760 --> 00:24:53,930
998
+ ูˆุนุฏู… ู‚ุฏุฑุชู‡ุง ุนู„ู‰ ุชุญู…ู„ ู…ุณุคูˆู„ูŠุงุช ุงู„ุชู†ููŠุฐ ุฎู„ุงุตุŸ ุฅุฐุง
999
+
1000
+ 289
1001
+ 00:24:53,930 --> 00:24:59,010
1002
+ ูˆุฌูˆุฏ ู…ุดูƒู„ุงุช ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ุตุฑุงุญุฉ ู…ู…ูƒู† ุชุญูˆู„
1003
+
1004
+ 290
1005
+ 00:24:59,010 --> 00:25:04,350
1006
+ ุฅุชู…ุงู… ุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุฑูˆุนุงุช
1007
+
1008
+ 291
1009
+ 00:25:04,350 --> 00:25:11,450
1010
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุทูŠุจ
1011
+
1012
+ 292
1013
+ 00:25:11,450 --> 00:25:19,790
1014
+ ุฎู„ุงุต ูŠุนู†ูŠ ุงู„ุขู† ุจู†ุง ู†ุฌูŠ ู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ุงู„ู„ูŠ ู‡ูŠ
1015
+
1016
+ 293
1017
+ 00:25:19,790 --> 00:25:25,240
1018
+ ุชู‚ูˆูŠู… ุนุงุฆุฏ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุชู‚ูˆูŠู… ุนุงุฆุฏ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ
1019
+
1020
+ 294
1021
+ 00:25:25,240 --> 00:25:30,680
1022
+ ุฎู„ุงุต ุฃู†ุฌุฒู†ุง ุงู„ุนู…ู„ ูˆุนุฑูู†ุง ุงู„ู…ุนูˆู‚ุงุช ูˆุนุฑูู†ุง ู…ุงุฐุง
1023
+
1024
+ 295
1025
+ 00:25:30,680 --> 00:25:34,940
1026
+ ูŠูˆุงุฌู‡ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆู…ุงุฐุง ู†ูุฐ ู…ู† ุงู„ุฎุทุท ูˆุงู„ุจุฑุงู…ุฌ
1027
+
1028
+ 296
1029
+ 00:25:34,940 --> 00:25:39,220
1030
+ ูˆุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุฎุฏู…ุงุช ุงู„ุขู† ูŠุนู†ูŠ ู†ุตู„ ุฅู„ู‰ ุงู„ู…ุฑุญู„ุฉ
1031
+
1032
+ 297
1033
+ 00:25:39,220 --> 00:25:44,400
1034
+ ุงู„ุฑุงุจุนุฉ ู…ู† ู…ุฑุงุญู„ ุฎุทูˆุงุช ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูŠ ูˆู‡ูŠ
1035
+
1036
+ 298
1037
+ 00:25:44,400 --> 00:25:50,400
1038
+ ู…ุฑุญู„ุฉ ุงู„ุชู‚ูˆูŠู… ุชู‚ูˆูŠู… ุงู„ุนุงุฆุฏ ู†ุชูŠุฌุฉ ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ู…ู†
1039
+
1040
+ 299
1041
+ 00:25:50,400 --> 00:25:56,710
1042
+ ู‚ุจู„ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูƒูŠู ูŠู‚ูˆู… ุนู…ู„ู‡ ู…ุน ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ
1043
+
1044
+ 300
1045
+ 00:25:56,710 --> 00:26:00,990
1046
+ ู‡ู†ุง ุจู†ู‚ูŠุณ ุงู„ู†ุชุงุฆุฌ ุงู„ู„ูŠ ุชู… ุงู„ูˆุตูˆู„ ุฅู„ูŠู‡ุง ุณูˆุงุก ูƒุงู†ุช
1047
+
1048
+ 301
1049
+ 00:26:00,990 --> 00:26:05,770
1050
+ ุงู„ู†ุชุงุฆุฌ ุณู„ุจูŠุฉ ุฃูˆ ุฅูŠุฌุงุจูŠุฉ ุงู„ุณู„ุจูŠุฉ ู†ุญุงูˆู„ ุฃู† ู†ุชู„ุงูู‡ุง
1051
+
1052
+ 302
1053
+ 00:26:05,770 --> 00:26:11,110
1054
+ ูˆุงู„ุฅูŠุฌุงุจูŠุฉ ู†ุญุงูˆู„ ุฃู† ู†ุฏุนู…ู‡ุง ูู„ุฐู„ูƒ ู‡ู†ุง ุจูŠู‡ุชู… ุงู„ู…ู†ุธู…
1055
+
1056
+ 303
1057
+ 00:26:11,110 --> 00:26:15,390
1058
+ ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ู„ุฎุทูˆุฉ ุงู„ุชู‚ูˆูŠู… ููŠ ู…ุงุฐุง
1059
+
1060
+ 304
1061
+ 00:26:15,390 --> 00:26:17,050
1062
+ ูŠู‡ุชู…ุŸ
1063
+
1064
+ 305
1065
+ 00:26:20,120 --> 00:26:25,160
1066
+ ุจูŠู‡ุชู… ุจุงู„ุชุนุฑู ุนู„ู‰ ู…ุงุฐุงุŸ ูˆุตูˆู„ุŒ ูŠุนู†ูŠ ู‡ู„ ุญู‚ู‚ ุงู„ุฃู‡ุฏุงู
1067
+
1068
+ 306
1069
+ 00:26:25,160 --> 00:26:29,620
1070
+ ุงู„ุชูŠ ูŠุฑูŠุฏ ุฃู† ูŠุญู‚ู‚ู‡ุง ู…ุน ุงู„ู…ุฌุชู…ุน ุฃู… ู„ุงุŸ ู‡ู„ ูุนู„ุง ุญู‚ู‚
1071
+
1072
+ 307
1073
+ 00:26:29,620 --> 00:26:34,360
1074
+ ุงู„ุฃู‡ุฏุงูุŸ ู‡ุฏู ุจุชุนุฑู ุนู„ูŠู‡ุง ู…ู† ุฎู„ุงู„ ู…ุงุฐุงุŸ ุงู„ุชู‚ูˆูŠู…ุŒ
1075
+
1076
+ 308
1077
+ 00:26:34,360 --> 00:26:37,800
1078
+ ู…ุงุฐุง ุฃูŠุถู‹ุง ุจุชููŠุฏ ุนู…ู„ูŠุฉ ุงู„ุชู‚ูˆูŠู…ุŸ ุจุงู„ุนูˆุงู…ู„ ุงู„ู…ุคุซุฑุฉ
1079
+
1080
+ 309
1081
+ 00:26:37,800 --> 00:26:41,040
1082
+ ููŠ ุงู„ู†ุชุงุฆุฌ ูˆู‚ุชู‡ุง ุชุณู…ูŠู‡ุง ุงู„ู…ุคุซุฑุงุชุŸ ุจุงู„ุถุจุทุŒ ุจุฏูŠ ุฃุชุนุฑู
1083
+
1084
+ 310
1085
+ 00:26:41,040 --> 00:26:43,740
1086
+ ุนู„ู‰ ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุฃุซุฑุช ููŠ ุงู„ู†ุชุงุฆุฌุŒ ู…ุง ู‡ูŠ ุงู„ุนูˆุงู…ู„
1087
+
1088
+ 311
1089
+ 00:26:43,740 --> 00:26:47,870
1090
+ ุงู„ู„ูŠ ุณุงุนุฏุช ุนู„ู‰ ู†ุฌุงุญ ุงู„ุฎุทู‘ุฉ ูˆู…ุง ู‡ูŠ ุงู„ุนูˆุงู…ู„ ุงู„ุชูŠ
1091
+
1092
+ 312
1093
+ 00:26:47,870 --> 00:26:51,450
1094
+ ุณุงุนุฏุช ุนู„ู‰ ูุดู„ ุงู„ุฎุทู‘ุฉ ูˆู†ุชุนุฑู ุนู„ู‰ ุนูˆุงู…ู„ ุงู„ู†ุฌุงุญ
1095
+
1096
+ 313
1097
+ 00:26:51,450 --> 00:26:57,510
1098
+ ูˆุนูˆุงู…ู„ ุงู„ูุดู„ ู…ุงุฐุง ุฃูŠุถู‹ุงุŸ ูƒุฐู„ูƒ
1099
+
1100
+ 314
1101
+ 00:26:57,510 --> 00:27:02,630
1102
+ ุงู„ุนุงุฆุฏ ู…ู† ุงู„ุชุฏุฎู„ ุงู„ู…ู‡ู†ูŠ ุงู„ุนุงุฆุฏ ูŠุนู†ูŠ ุงู„ูุงุฆุฏุฉ ุงู„ู…ูƒุณุจ
1103
+
1104
+ 315
1105
+ 00:27:02,630 --> 00:27:09,390
1106
+ ุงู„ู„ูŠ ุญุตู„ู†ุง ุนู„ูŠู‡ุŒ ู‡ู„ ุญุตู„ู†ุง ุนู„ู‰ ู…ูƒุงุณุจุŸ ูˆูƒู… ู‚ูŠู…ุชู‡ุง ู‡ุฐู‡ุŸ ูŠุนู†ูŠ
1107
+
1108
+ 316
1109
+ 00:27:09,390 --> 00:27:13,530
1110
+ ู†ู‚ูŠุณู‡ ุจูŠู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุฏุฎู„ุงุช ูˆุงู„ู…ุฎุฑุฌุงุชุŒ ู‡ู„ ุงู„ุนุงุฆุฏ
1111
+
1112
+ 317
1113
+ 00:27:13,530 --> 00:27:18,610
1114
+ ู‡ุฐุง ูŠุณุงูˆูŠ ุงู„ู…ุฏุฎู„ุงุชุŸ ุฃู… ุฃูƒุซุฑ ู…ู† ุงู„ู…ุฏุฎู„ุงุชุŸ ู‡ู„ ููŠ ูุงุฆุฏุฉ
1115
+
1116
+ 318
1117
+ 00:27:18,610 --> 00:27:22,210
1118
+ ุงู„ุนุงุฆุฏ ู„ุฐู„ูƒ
1119
+
1120
+ 319
1121
+ 00:27:22,210 --> 00:27:25,390
1122
+ ู‡ู†ุง ู…ู† ู…ุฑุญู„ุฉ ุงู„ุชู‚ูŠูŠู… ู†ุณุชุทูŠุน ุฃู† ู†ุนุฑู ุงู„ุนุงุฆุฏ ู…ู†
1123
+
1124
+ 320
1125
+ 00:27:25,390 --> 00:27:31,850
1126
+ ุงู„ุชุฏุฎู„ ุงู„ู…ุงู„ูŠ ู‡ู„ ู‡ูˆ ุงู„ุนุงุฆุฏ ูƒุจูŠุฑ ู…ุชูˆุณุท ู‚ู„ูŠู„ ุฅู„ู‰ ุบูŠุฑ
1127
+
1128
+ 321
1129
+ 00:27:31,850 --> 00:27:37,150
1130
+ ุฐู„ูƒ ูˆุงุถุญ ูˆู†ุญูƒู… ุนู„ูŠู‡ ุจุงู„ู†ุฌุงุญ ุฃูˆ ุงู„ูุดู„ ู…ุงุฐุง ุฃูŠุถู‹ุง
1131
+
1132
+ 322
1133
+ 00:27:37,150 --> 00:27:43,710
1134
+ ู…ุงุฐุง ุตู„ุงุญูŠุฉ ุงู„ุฃุฌู‡ุฒุฉ ุงู„ู…ุณุคูˆู„ุฉ
1135
+
1136
+ 323
1137
+ 00:27:43,710 --> 00:27:49,270
1138
+ ููŠ ุงู„ู…ุฌุชู…ุน ุตู„ุงุญูŠุฉ ู‡ุฐู‡ ุงู„ุฃุฌู‡ุฒุฉ ู‡ู„ ู‡ูŠ ุตุงู„ุญุฉ ุฃูˆ ุบูŠุฑ
1139
+
1140
+ 324
1141
+ 00:27:49,270 --> 00:27:53,270
1142
+ ุตุงู„ุญุฉุŸ ุฃู… ููŠู‡ุง ูุณุงุฏุŸ ุฃู… ู†ุงุฌุญุฉุŸ ุฃู… ู„ู‡ุง ุงู„ู‚ุฏุฑุฉ ุนู„ู‰
1143
+
1144
+ 325
1145
+ 00:27:53,270 --> 00:27:58,250
1146
+ ุงู„ุชู†ููŠุฐ ูˆุงู„ุนู…ู„ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŸ ู‚ุงุฏู… ู†ุชุนุฑู ุนู„ูŠู‡ุง ู…ู†
1147
+
1148
+ 326
1149
+ 00:27:58,250 --> 00:28:04,190
1150
+ ุฎู„ุงู„ ุนู…ู„ูŠุงุช ุงู„ุชู‚ูˆูŠู… ู…ุงุฐุง ุฃูŠุถู‹ุงุŸ ุจุงู„ู†ุณุจุฉ ู„ู„ุชูƒุงู„ูŠู
1151
+
1152
+ 327
1153
+ 00:28:04,190 --> 00:28:08,170
1154
+ ุงู„ู„ูŠ ูˆุถุนู†ุงู‡ุง
1155
+
1156
+ 328
1157
+ 00:28:08,170 --> 00:28:15,000
1158
+ ุชุณุงูˆูŠ ุงู„ุนุงุฆุฏ ุงู„ู„ูŠ ุญุตู„ู†ุง ุนู„ูŠู‡ ู…ู† ุนู…ู„ู†ุงุŸ ุงู„ู†ุงุชุฌ ุงู„ู„ูŠ
1159
+
1160
+ 329
1161
+ 00:28:15,000 --> 00:28:21,100
1162
+ ูˆุตู„ู†ุง ุฅู„ูŠู‡ ู‡ู„ ุชุณุงูˆูŠ ุงู„ุชูƒุงู„ูŠู ุฃู… ุฃูƒุซุฑ ุฃู… ุฃู‚ู„ ูˆู‡ู†ุง
1163
+
1164
+ 330
1165
+ 00:28:21,100 --> 00:28:26,480
1166
+ ุจู†ุนุฑู ูŠุนู†ูŠ ุงู„ูุงุฆุฏุฉ ู…ุง ู‡ูŠ ุงู„ูุงุฆุฏุฉ ุงู„ู„ูŠ ุชุนูˆุฏ ุนู„ูŠู†ุง ู…ู†
1167
+
1168
+ 331
1169
+ 00:28:26,480 --> 00:28:32,320
1170
+ ู‚ูŠุงู…ู†ุง ุจุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุจุฑุงู…ุฌ ู…ุน ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุจู†ุดูˆู
1171
+
1172
+ 332
1173
+ 00:28:32,320 --> 00:28:37,820
1174
+ ูƒู… ูƒู„ูุช ูˆูƒู… ุงุณุชูุฏุช ู…ู† ุฎู„ุงู„ ุงู„ู†ุชุงุฆุฌ ู‡ู„ ุงู„ุนุงุฆุฏ ูƒุงู†
1175
+
1176
+ 333
1177
+ 00:28:37,820 --> 00:28:43,480
1178
+ ุฃูƒุซุฑ ู…ู† ุงู„ุชูƒุงู„ูŠู ุจู†ูƒูˆู† ู‡ู†ุง ุนู…ู„ูŠุฉ ู†ุงุฌุญุฉ ุฅุฐุง ูƒุงู†ุช
1179
+
1180
+ 334
1181
+ 00:28:43,480 --> 00:28:48,720
1182
+ ุงู„ุนุงุฆุฏ ุชุณุงูˆูŠ ุงู„ุชูƒุงู„ูŠูุŒ ูŠุนู†ูŠ ู„ุง ุฎุณุงุฑุฉ ูˆู„ุง ุฑุจุญุŒ ู„ูƒู†
1183
+
1184
+ 335
1185
+ 00:28:48,720 --> 00:28:53,460
1186
+ ุฅุฐุง ูƒุงู† ุงู„ุนุงุฆุฏ ุฃู‚ู„ ู…ู† ุงู„ุชูƒุงู„ูŠูุŒ ูŠูƒูˆู† ู‡ู†ุง ุฎุณุงุฑุฉุŒ
1187
+
1188
+ 336
1189
+ 00:28:53,460 --> 00:29:08,880
1190
+ ุฅุฐุง ู„ุง ุจุฏ ุฃู† ู†ู†ุธุฑ ููŠ ุงู„ุฃู…ุฑุŒ ู…ุงุฐุง ุฃูŠุถู‹ุงุŸ ุทุจุนู‹ุง
1191
+
1192
+ 337
1193
+ 00:29:08,880 --> 00:29:12,300
1194
+ ุงู„ู…ู‚ุตูˆุฏ ุจุฐู„ูƒ ุฃู† ุงู„ุชู‚ูˆูŠู… ู„ุง ูŠุจุฏุฃ ููŠ ู†ู‡ุงูŠุฉ ุงู„ุนู…ู„ุŒ
1195
+
1196
+ 338
1197
+ 00:29:12,990 --> 00:29:17,470
1198
+ ุงู„ุชู‚ูˆูŠู… ูŠุจุฏุฃ ู…ู†ุฐ ุจุฏุงูŠุฉ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ู„ุฎุทูˆุงุช ุทุฑูŠู‚
1199
+
1200
+ 339
1201
+ 00:29:17,470 --> 00:29:22,230
1202
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ูƒู„ ู…ุฑุญู„ุฉ ู…ู† ู…ุฑุงุญู„ ุทุฑูŠู‚ ุชู†ุธูŠู…
1203
+
1204
+ 340
1205
+ 00:29:22,230 --> 00:29:25,750
1206
+ ุงู„ู…ุฌุชู…ุน ู‡ู†ุงูƒ ุชู‚ูˆูŠู… ููŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงู„ู…ุฑุญู„ุฉ
1207
+
1208
+ 341
1209
+ 00:29:25,750 --> 00:29:31,250
1210
+ ุงู„ุซุงู†ูŠุฉ ูˆุงู„ุซุงู„ุซุฉ ูˆุงู„ุฑุงุจุนุฉ ุจุนุฏ ุงู†ุชู‡ุงุก ู…ู† ุงู„ุจุฑุงู…ุฌ
1211
+
1212
+ 342
1213
+ 00:29:31,250 --> 00:29:37,330
1214
+ ูˆุงู„ู…ุดุงุฑูŠุน ุงู„ุชู‚ูˆูŠู… ู„ุง ูŠุจุฏุฃ ูู‚ุท ููŠ ุงู„ู†ู‡ุงูŠุฉ ูู‚ุท ูู„ุฐู„ูƒ
1215
+
1216
+ 343
1217
+ 00:29:37,330 --> 00:29:41,930
1218
+ ุงู„ุชู‚ูˆูŠู… ูŠุณุชู…ุฑ ูˆูŠุจุฏุฃ ู…ุน ุงู„ู…ุดุฑูˆุน ูˆูŠุณุชู…ุฑ ุฅู„ู‰ ู†ู‡ุงูŠุฉ
1219
+
1220
+ 344
1221
+ 00:29:41,930 --> 00:29:46,260
1222
+ ุงู„ู…ุดุฑูˆุน ุฅู„ู‰ ู†ู‡ุงูŠุฉ ุชู†ููŠุฐ ุงู„ุจุฑู†ุงู…ุฌ ูˆู‡ูƒุฐุง ู…ู†ุฐ ุจุฏุงูŠุฉ
1223
+
1224
+ 345
1225
+ 00:29:46,260 --> 00:29:51,700
1226
+ ุงู„ุจุฑู†ุงู…ุฌ ุฅู„ู‰ ู†ู‡ุงูŠุฉ ุชู†ููŠุฐ ุงู„ุจุฑู†ุงู…ุฌ ุฃูˆ ุงู„ู…ุดุฑูˆุน ู‡ุฐู‡
1227
+
1228
+ 346
1229
+ 00:29:51,700 --> 00:29:57,620
1230
+ ุนู…ู„ูŠุฉ ุงู„ุชู‚ูŠูŠู… ู†ู‚ูˆู„
1231
+
1232
+ 347
1233
+ 00:29:57,620 --> 00:30:04,110
1234
+ ุจุฐู„ูƒ ุฃู†ุชู‡ูŠู†ุง ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏ ุงู„ุทู„ุงุจ ููŠ
1235
+
1236
+ 348
1237
+ 00:30:04,110 --> 00:30:10,350
1238
+ ุฎุทูˆุงุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุงู„ุฎุทูˆุงุช ู„ุง ุชุฎุชู„ู ุนู†
1239
+
1240
+ 349
1241
+ 00:30:10,350 --> 00:30:14,390
1242
+ ุงู„ุฎุทูˆุงุช ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ ููŠ ูƒุฃู†ู‡ุง ุงู„ู…ุฑุญู„ุฉ
1243
+
1244
+ 350
1245
+ 00:30:14,390 --> 00:30:18,010
1246
+ ุงู„ุงุณุชูƒุดุงููŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุจู†ุณู…ูŠู‡ุง ู‚ุท ุชูุฑูŠู‚ูŠุฉ ูŠุนู†ูŠ ู…ุฑุญู„ุฉ
1247
+
1248
+ 351
1249
+ 00:30:18,010 --> 00:30:22,490
1250
+ ุฌู…ุน ุงู„ุจูŠุงู†ุงุช ูˆุงู„ู…ุนู„ูˆู…ุงุช ูˆู…ุฑุญู„ุฉ ุงู„ุฏุฑุงุณุฉ ุนู† ุงู„ู…ุฌุชู…ุน
1251
+
1252
+ 352
1253
+ 00:30:22,490 --> 00:30:26,830
1254
+ ูˆู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ุงู„ู„ูŠ ุฃุณู…ุงู‡ุง ู…ุฑุญู„ุฉ
1255
+
1256
+ 353
1257
+ 00:30:26,830 --> 00:30:32,290
1258
+ ุงู„ุงุชูุงู‚ ู‡ูŠ ู†ุดุจู‡ู‡ุง ุจู…ุฑุญู„ุฉ ูˆุถุน ุงู„ุฎุทุฉ ู…ุน ุงู„ู…ุฌุชู…ุนุŒ ูˆุถุน
1259
+
1260
+ 354
1261
+ 00:30:32,290 --> 00:30:36,290
1262
+ ุงู„ุฎุทุฉ ูˆุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ุงู„ู„ุงุฒู…ุฉ ู„ุนู„ุงุฌ ู…ุดูƒู„ุงุช
1263
+
1264
+ 355
1265
+ 00:30:36,290 --> 00:30:42,350
1266
+ ุงู„ู…ุฌุชู…ุน ูˆุงู„ู…ู€ุฑุญู„ุฉ ุงู„ุซุงู„ุซุฉ ู‡ูŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู†ููŠุฐูŠุฉ ุงู„ู„ูŠ
1267
+
1268
+ 356
1269
+ 00:30:42,350 --> 00:30:45,990
1270
+ ู‡ูŠ ุงู„ู…ู…ุงุฑุณุฉ ุงู„ู…ู‡ู†ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุชู†ููŠุฐ ุงู„ุฎุทุท
1271
+
1272
+ 357
1273
+ 00:30:45,990 --> 00:30:51,190
1274
+ ูˆุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุจุฑุงู…ุฌ ุงู„ู„ุงุฒู…ุฉ ู„ุญู„ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ุซู…
1275
+
1276
+ 358
1277
+ 00:30:51,190 --> 00:30:54,930
1278
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ู‡ูŠ ู…ุง ู†ุณู…ูŠู‡ุง ู…ุฑุญู„ุฉ ุชู‚ูˆูŠู… ุงู„ุนู…ู„
1279
+
1280
+ 359
1281
+ 00:30:54,930 --> 00:31:00,490
1282
+ ูŠุนู†ูŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุชู‚ูˆูŠู…ูŠุฉ ู„ู„ุนู…ู„ ูˆู…ุนุฑูุฉ ุงู„ูุงุฆุฏุฉ ูˆ
1283
+
1284
+ 360
1285
+ 00:31:00,490 --> 00:31:05,680
1286
+ ุงู„ุนุงุฆุฏ ู…ู† ุงู„ุนู…ู„ ุชู†ููŠุฐ ุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุจุฑุงู…ุฌ ุงู„ู„ุงุฒู…ุฉ
1287
+
1288
+ 361
1289
+ 00:31:05,680 --> 00:31:12,580
1290
+ ู„ุนู„ุงุฌ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ููŠ ุฃูŠ ุณุคุงู„ุŸ ู†ูƒูˆู† ุจุฐู„ูƒ ุงู†ุชู‡ูŠู†ุง
1291
+
1292
+ 362
1293
+ 00:31:12,580 --> 00:31:18,320
1294
+ ู…ู† ู…ูˆุถูˆุน ู…ุญุงุถุฑุชู†ุง ุฎุทูˆุงุช ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูŠ ุฅู„ู‰
1295
+
1296
+ 363
1297
+ 00:31:18,320 --> 00:31:23,120
1298
+ ู‡ู†ุง ู†ู†ู‡ูŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ูˆู†ุชู…ู†ู‰ ู„ูƒู… ู„ูƒู„ู†ุง ุงู„ู†ุฌุงุญ
1299
+
1300
+ 364
1301
+ 00:31:23,120 --> 00:31:29,940
1302
+ ูˆุงู„ุชูˆููŠู‚ ุฅู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ุงู…ุชุญุงู† ุจุฅุฐู†ู‡ ุชุนุงู„ู‰ ุฃูˆู„ู‹ุง
1303
+
1304
+ 365
1305
+ 00:31:30,200 --> 00:31:35,660
1306
+ ุซู… ู†ุชู…ู†ู‰ ู„ูƒู†ุง ุจุฅุฐู† ุงู„ู„ู‡ ุชุนุงู„ู‰ ุงู„ุงุณุชู…ุฑุงุฑ ููŠ ุงู„ุฏุฑุงุณุฉ
1307
+
1308
+ 366
1309
+ 00:31:35,660 --> 00:31:41,660
1310
+ ู„ู„ ุงู„ูุตู„ ุงู„ุฏุฑุงุณูŠ ุงู„ุซุงู†ูŠ ูˆุงู„ู†ุฌุงุญ ูˆุงู„ุชูˆููŠู‚ ู…ู† ุชุณุฌูŠู„ูƒู†ุง
1311
+
1312
+ 367
1313
+ 00:31:41,660 --> 00:31:46,380
1314
+ ู„ู„ู…ูˆุงุฏ ุงู„ู‚ุงุฏู…ุฉ ู„ู„ูุตู„ ุงู„ุฏุฑุงุณูŠ ุงู„ุซุงู†ูŠ ุจุนุฏ ุงู„ู†ุฌุงุญ
1315
+
1316
+ 368
1317
+ 00:31:46,380 --> 00:31:51,120
1318
+ ููŠ ุงู…ุชุญุงู†ุงุช ุงู„ูุตู„ ุงู„ุฏุฑุงุณูŠ ุงู„ุฃูˆู„ ูƒู„ ุนุงู… ูˆุฃู†ุชู… ุจุฎูŠุฑ
1319
+
1320
+ 369
1321
+ 00:31:51,120 --> 00:31:55,540
1322
+ ูˆุฅู„ู‰ ุฃู† ู†ู„ุชู‚ูŠ ููŠ ู…ูˆุงุฏ ุฃุฎุฑู‰ ู„ูƒู†ุง ู…ู†ูŠ ูƒู„ ุชุญูŠุฉ
1323
+
1324
+ 370
1325
+ 00:31:55,540 --> 00:31:59,480
1326
+ ูˆุชู‚ุฏูŠุฑ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
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1
+ 1
2
+ 00:00:20,700 --> 00:00:24,260
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:24,260 --> 00:00:28,320
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฃุดุฑู ุงู„ู…ุฑุณู„ูŠู† ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ู‰
8
+
9
+ 3
10
+ 00:00:28,320 --> 00:00:33,520
11
+ ุขู„ู‡ ูˆุตุญุจู‡ ุฃุฌู…ุนูŠู† ุจู†ุงุช ุงู„ุทุงู„ุจุงุช ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
12
+
13
+ 4
14
+ 00:00:33,520 --> 00:00:43,110
15
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุชุญุฏุซู†ุง ุนู† ู…ูู‡ูˆู…ุนู†
16
+
17
+ 5
18
+ 00:00:43,110 --> 00:00:48,130
19
+ ุฏุนุงุฆู… ุงู„ู…ุฌุชู…ุน ูˆู…ู† ุซู… ุฃูŠุถุง ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ
20
+
21
+ 6
22
+ 00:00:48,130 --> 00:00:56,810
23
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุชุญุฏุซู†ุง ุนู† ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ูˆู‡ูˆ ู…ูู‡ูˆู…
24
+
25
+ 7
26
+ 00:00:56,810 --> 00:01:02,790
27
+ ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠ ูˆุงุชุนุฑูู†ุง ุนู„ู‰ ุงู„ู†ุณู‚ ุงู„ุงุฌุชู…ุงุนูŠ
28
+
29
+ 8
30
+ 00:01:02,790 --> 00:01:08,550
31
+ ู„ู„ู…ุฌุชู…ุน ูˆู„ู…ู†ุธู…ุฉุจุงุนุชุจุงุฑ ุฃู† ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุทุฑูŠู‚
32
+
33
+ 9
34
+ 00:01:08,550 --> 00:01:12,670
35
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠ ูŠุนู†ูŠ ูƒ system ุงุฌุชู…ุงุนูŠ
36
+
37
+ 10
38
+ 00:01:12,670 --> 00:01:19,670
39
+ ูŠุนู†ูŠ ูƒู†ุธุงู… ุงุฌุชู…ุงุนูŠ ุงูˆ ูƒู…ู†ุธู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน
40
+
41
+ 11
42
+ 00:01:19,670 --> 00:01:27,320
43
+ ูˆุฃูŠุถุง ุชูƒู„ู…ู†ุง ุนู† ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠูˆ .. ุงูˆ
44
+
45
+ 12
46
+ 00:01:27,320 --> 00:01:31,660
47
+ ูƒู†ุธุงู… ุงุฌุชู…ุงุนูŠ ูˆ ุชุญุฏุซู†ุง ุนู† ุจุนุถ ุงู„ุฃู†ุธู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
48
+
49
+ 13
50
+ 00:01:31,660 --> 00:01:38,620
51
+ ุจุงุนุชุจุงุฑ ุงู† ูƒู„ ู†ุณู‚ ุงุฌุชู…ุงุนูŠ ู„ู‡ ุนุงู… ู„ู‡ ุฃู†ุณู‚ุฉ ูุฑุนูŠุฉ ูˆ
52
+
53
+ 14
54
+ 00:01:38,620 --> 00:01:43,240
55
+ ุชุญุฏุซู†ุง ุนู† ุงู„ู†ุณู‚ ุงู„ุชุนู„ูŠู…ูŠ ูˆ ู‚ู„ู†ุง ุงู„ู†ุณู‚ ุงู„ุชุนู„ูŠู…ูŠ
56
+
57
+ 15
58
+ 00:01:43,240 --> 00:01:48,320
59
+ ุจุงุนุชุจุงุฑู‡ ู†ุณู‚ ูƒู„ู‡ ู„ู‡ ุฃู†ุณู‚ุฉ ูุฑุนูŠุฉ ู…ุซู„ ู…ุงุฐุงุŸ ุงูˆ ุฃู†ุธู…ุฉ
60
+
61
+ 16
62
+ 00:01:48,320 --> 00:01:52,500
63
+ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุงู…ุชุญุงู†ุงุช ู…ุซู„ ูˆุฌูˆุฏ ุงู„ุทุงู„ุจ ู…ุซู„ ุงู„ู…ุนู„ู…
64
+
65
+ 17
66
+ 00:01:52,500 --> 00:01:56,440
67
+ ู…ุซู„ ุจุตูŠุฑุฉ ุงู„ุฅุถุงุก ู…ุซู„ ุงู„ู…ู†ู‡ุฌู…ุซู„ ุงู„ุงุจุชุญุงู†ุงุช ุฅู„ู‰ ุบูŠุฑ
68
+
69
+ 18
70
+ 00:01:56,440 --> 00:02:02,700
71
+ ุฐู„ูƒ ู…ู† ุงู„ุฃู†ุธู…ุฉ ุฃูˆ ุงู„ุฃู†ุณุงู‚ ุงู„ูุฑุนูŠุฉ ูุฃูŠุถุง ุงู„ุฃุณุฑูŠ
72
+
73
+ 19
74
+ 00:02:02,700 --> 00:02:06,780
75
+ ุงู„ู†ุธุงู… ุงู„ุฃุณุฑูŠ ูƒุฐู„ูƒ ู†ุธุงู… ุฃุณุฑูŠ ุนุงู… ุฃูˆ ู†ุณู‚ ุฃุณุฑูŠ ุนุงู…
76
+
77
+ 20
78
+ 00:02:06,780 --> 00:02:12,400
79
+ ู„ู‡ ุฃูŠุถุง ูŠุนู†ูŠ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุฎุทุจุฉ ู…ุซู„ ุงู„ุฒูˆุงุฌ ู…ุซู„
80
+
81
+ 21
82
+ 00:02:12,400 --> 00:02:17,680
83
+ ุงู„ุทู„ุงู‚ ู…ุซู„ ุงู„ู…ูˆุงุฑูŠุซ ูˆ ู‡ูƒุฐุง ู‡ุฐู‡ ูƒู„ู‡ุง ูŠุนู†ูŠ ุฃู†ุณู‚ุฉ
84
+
85
+ 22
86
+ 00:02:17,680 --> 00:02:24,480
87
+ ูุฑุนูŠุฉ ู„ู„ู†ุธุงู… ุงู„ุฃุณุฑูŠูˆ ูƒุฐู„ูƒ ุงู„ู†ุธุงู… ุงู„ุงู‚ุชุตุงุฏูŠ ูƒู†ุธุงู…
88
+
89
+ 23
90
+ 00:02:24,480 --> 00:02:32,060
91
+ ูƒู„ู‡ ู„ู‡ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุงู†ุชุงุฌ ุงู„ุชุณุนูŠุฑ ุงูˆ ุงู„ุชุฑูˆูŠุฌ
92
+
93
+ 24
94
+ 00:02:32,060 --> 00:02:38,720
95
+ ูˆ ุงูŠุถุง ุงู„ุชุณูˆูŠู‚ ู„ู„ุณู„ุน ูˆ ุงูŠุถุง ุงู„ุงุณุนุงุฑ ุงู„ุณุนุฑ ุงู„ุณู„ุนุฉ
96
+
97
+ 25
98
+ 00:02:38,720 --> 00:02:44,000
99
+ ู‡ุฐู‡ ูƒู„ู‡ุง ุงูŠุถุง ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู„ู„ู†ุณู‚ ุงู„ูƒู„ูŠ ูˆู‡ูˆ ุงู„ู†ุธุงู…
100
+
101
+ 26
102
+ 00:02:44,000 --> 00:02:50,080
103
+ ุงู„ุงู‚ุชุตุงุฏูŠ ูˆู‡ูƒุฐุง ูƒู„ ู†ุธุงู… ูƒู„ู‡ ุงูˆ ูƒู„ ู†ุณู‚ ูƒู„ู‡ ู„ู‡ ุฃู†ุณุงู‚
104
+
105
+ 27
106
+ 00:02:50,080 --> 00:02:56,830
107
+ ุงูˆ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉูˆู‡ูƒุฐุง ุจุงุนุชุจุงุฑ ุงู† ุงู„ู…ู†ุธู…ุฉูƒู…ุฌุชู…ุน ูƒู†ุณู‚
108
+
109
+ 28
110
+ 00:02:56,830 --> 00:03:02,630
111
+ ุงุฌุชู…ุงุนูŠ ูˆุชูƒู„ู…ู†ุง ุงูŠุถุง ุนู† ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงูˆ ุงู„ุญูŠ
112
+
113
+ 29
114
+ 00:03:02,630 --> 00:03:08,470
115
+ ูŠุนุชุจุฑ ูŠุนู†ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ูƒุจูŠุฑ ุซู…
116
+
117
+ 30
118
+ 00:03:08,470 --> 00:03:13,610
119
+ ุงู„ู…ุฌุชู…ุน ุงู„ู‚ูˆู…ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ุฏูˆู„ูŠ ู‡ุฐู‡ ูƒู„ู‡ุง ูŠุนู†ูŠ
120
+
121
+ 31
122
+ 00:03:13,610 --> 00:03:19,330
123
+ ุฃู†ุณุงุก ูุฑุนูŠุฉ ููŠ ุงุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ูƒู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฏูˆู„ูŠ ูˆ
124
+
125
+ 32
126
+ 00:03:19,330 --> 00:03:26,220
127
+ ู‡ูƒุฐุง ู†ุจุฏุฃ ุจุงู„ุตุบูŠุฑ ุซู… ุงู„ูƒุจูŠุฑุฃูŠุถุง ุงู„ูŠูˆู… ุณู†ูƒู…ู„ ูˆ
128
+
129
+ 33
130
+ 00:03:26,220 --> 00:03:32,260
131
+ ุชูƒู„ู…ู†ุง ุฃูŠุถุง ุนู† ุงู„ู…ุชุทู„ุจุงุช ุงู„ู„ุงุฒู…ุฉ ู„ู„ู†ุธุงู… ุญุชู‰ ูŠุณุชู…ุฑ
132
+
133
+ 34
134
+ 00:03:32,260 --> 00:03:38,580
135
+ ุฃูˆ ุงู„ู…ุฑุธู…ุฉ ุญุชู‰ ุชุณุชู…ุฑ ูˆ ุฃูŠุถุง ูˆุตู„ู†ุง ุฃุฎูŠุฑุง ุฅู„ู‰ ุงู„ ..
136
+
137
+ 35
138
+ 00:03:40,010 --> 00:03:45,390
139
+ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ process
140
+
141
+ 36
142
+ 00:03:45,390 --> 00:03:50,650
143
+ ูƒุนู…ู„ูŠุฉ ูˆู‡ุฐุง ู…ุง ุณู†ุดุฑุญู‡ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ูˆุบูŠุฑู‡ ู…ู†
144
+
145
+ 37
146
+ 00:03:50,650 --> 00:03:57,300
147
+ ู…ูุงู‡ูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ
148
+
149
+ 38
150
+ 00:03:57,300 --> 00:04:02,760
151
+ ูŠุนู†ูŠ ุจุฏู†ุง ู†ุงุฎุฏู‡ ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
152
+
153
+ 39
154
+ 00:04:02,760 --> 00:04:07,660
155
+ ูˆูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูู„ุฐู„ูƒ ู‡ู†ุง ุงุญู†ุง ุจู†ุชุนุงู…ู„
156
+
157
+ 40
158
+ 00:04:07,660 --> 00:04:13,320
159
+ ุฏุงุฆู…ุง ูƒุนู…ู„ูŠุฉ process ูŠุนู†ูŠ ููŠู‡ ุชูุงุนู„ ูู„ุฐู„ูƒ ู…ุนู†ู‰
160
+
161
+ 41
162
+ 00:04:13,320 --> 00:04:18,660
163
+ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ูŠุนู†ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช
164
+
165
+ 42
166
+ 00:04:19,600 --> 00:04:25,340
167
+ ุชุนู„ูŠู…ูŠุฉุŒ ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช ูˆุฎุจุฑุงุช ุชุนู„ูŠู…ูŠุฉ ุทุจุนุง ู…ู…ูƒู†
168
+
169
+ 43
170
+ 00:04:25,340 --> 00:04:30,000
171
+ ูŠูƒุชุณุจู‡ุง ุงู„ู†ุงุณ ูˆ ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ู‡ุงุฑุงุช
172
+
173
+ 44
174
+ 00:04:30,000 --> 00:04:32,140
175
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู„ูŠ ุจุชู…ูƒู†
176
+
177
+ 45
178
+ 00:04:34,820 --> 00:04:40,140
179
+ ุงู„ู…ู†ุธู… ุงู„ู„ู‰ ุจุชู…ูƒู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนู‰ ู…ู† ู…ูˆุงุฌู‡ุฉ
180
+
181
+ 46
182
+ 00:04:40,140 --> 00:04:44,440
183
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ูุฅุฐุง ุงู„ู…ู†ุธู… ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน
184
+
185
+ 47
186
+ 00:04:44,440 --> 00:04:50,680
187
+ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ูŠุนู†ูŠ ูƒุฎุจุฑุงุช ุนู…ู„ูŠุฉ ูˆ ุชุนู„ูŠู…ูŠุฉ ูˆ ุฃูŠุถุง
188
+
189
+ 48
190
+ 00:04:50,680 --> 00:04:55,640
191
+ ู…ู‡ุงุฑุงุช ุงุฌุชู…ุงุนูŠุฉ ู‡ุฐู‡ ูƒู„ู‡ุง ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช
192
+
193
+ 49
194
+ 00:04:55,640 --> 00:04:58,540
195
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู„ุฐู„ูƒ
196
+
197
+ 50
198
+ 00:05:00,120 --> 00:05:04,500
199
+ ุงู„ู…ูู‡ูˆู… ุงู„ุฃูˆู„ ู…ู† ุฃุดุงุฑ ุฅู„ู‰ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ู‡ูˆ ุฑูุณ
200
+
201
+ 51
202
+ 00:05:04,500 --> 00:05:08,120
203
+ ูู…ูู‡ูˆู…
204
+
205
+ 52
206
+ 00:05:08,120 --> 00:05:12,020
207
+ ุงู„ุนู…ู„ูŠุฉ ู‡ู†ุง ู„ู„ุฏู„ุงู„ุฉ ุนู„ู‰ ู‚ูŠุงู… ุงู„ู…ุฌุชู…ุน ุจุชุญุฏูŠุฏ
208
+
209
+ 53
210
+ 00:05:12,020 --> 00:05:17,580
211
+ ู…ุดูƒู„ุงุชู‡ ุซู… ุงู„ู‚ูŠุงู… ุจุฅุฌุฑุงุก ุงู„ู…ูˆุงุฌู‡ุฉ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ
212
+
213
+ 54
214
+ 00:05:18,480 --> 00:05:23,900
215
+ ุทุจุนุงู‹ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ุจุฅู†ู‡ ุจุชุถู…ู† ุฎุจุฑุงุช ุจู…ุฑ
216
+
217
+ 55
218
+ 00:05:23,900 --> 00:05:28,280
219
+ ุจูŠู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูˆู„ูŠุณ ุฎุจุฑุงุช ูู‚ุท ุจู„ ูˆู…ู‡ุงุฑุงุช ุงูŠุถุง
220
+
221
+ 56
222
+ 00:05:28,280 --> 00:05:33,400
223
+ ูˆู…ู‡ุงุฑุงุช ุงุฌุชู…ุงุนูŠุฉ ูŠุนู†ูŠ ุจู…ุฑ ุจูŠู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง
224
+
225
+ 57
226
+ 00:05:33,400 --> 00:05:37,900
227
+ ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุฎุจุฑุงุช ูˆุงู„ู…ู‡ุงุฑุงุช ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช
228
+
229
+ 58
230
+ 00:05:37,900 --> 00:05:43,000
231
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ุชูŠ ูŠูˆุงุฌู‡ู‡ุง ุงู„ู…ุฌุชู…ุน ูˆู†ุนู…ู„ ุนู„ู‰ ุญู„ ู‡ุฐู‡
232
+
233
+ 59
234
+ 00:05:43,000 --> 00:05:47,400
235
+ ุงู„ู…ุดูƒู„ุงุช ูˆุจุนุฏ ุฐู„ูƒ ูŠุชุญู‚ู‚ ุงู„ุชุนุงูˆู† ุจูŠู† ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
236
+
237
+ 60
238
+ 00:05:50,510 --> 00:05:57,770
239
+ ุฃูŠุถู‹ุง ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ู‡ูˆ ุจู…ุซุงุจุฉ ุงู„ุชุนู„ู… ูˆุงูƒุชุณุงุจ ุงู„ู„ูŠ
240
+
241
+ 61
242
+ 00:05:57,770 --> 00:06:02,270
243
+ ู‡ูŠ ุงู„ุชุนู„ู… ู…ู† ุฎู„ุงู„ ุงู„ู…ู…ุงุฑุณุฉ ุงู„ุนู…ู„ูŠุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน
244
+
245
+ 62
246
+ 00:06:02,270 --> 00:06:06,710
247
+ ูˆุงูƒุชุณุงุจ ุงู„ู…ู‡ุงุฑุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุฎุชู„ูุฉ ู„ู…ูˆุงุฌู‡ุฉ
248
+
249
+ 63
250
+ 00:06:06,710 --> 00:06:07,650
251
+ ุงู„ู…ุดูƒู„ุฉ
252
+
253
+ 64
254
+ 00:06:13,190 --> 00:06:17,730
255
+ ุทุจุนุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุณุงุนุฏ ุงู„ู…ุฌุชู…ุน ุนู„ู‰
256
+
257
+ 65
258
+ 00:06:17,730 --> 00:06:26,030
259
+ ุชู‚ูˆูŠุชู‡ ุจู…ู‚ูˆู…ุงุชู‡ ูˆุฏุนุงุฆู…ู‡ ุงู„ู…ุนุฑูˆูุฉ ุทุจุนุง ุฅุฐุง ู…ุง ุนู…ู„
260
+
261
+ 66
262
+ 00:06:26,030 --> 00:06:30,850
263
+ ุนู„ู‰ ู…ุดุงุฑูƒุฉ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู‡ู†ุงูƒ ุนู„ุงู‚ุฉ ุจูŠู†
264
+
265
+ 67
266
+ 00:06:30,850 --> 00:06:36,030
267
+ ุงู„ู…ุดุงุฑูƒุฉ ูˆ ุจูŠู† ุชูุงุนู„ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูƒู„ู…ุง ูƒุงู†ุช ูˆ ู‡ู†ุงูƒ
268
+
269
+ 68
270
+ 00:06:36,030 --> 00:06:41,450
271
+ ุฃูŠุถุง ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ุงู†ุชู…ุงุกูˆุงู„ู…ุดุงุฑูƒุฉ ูู„ุฐู„ูƒ ุญุชู‰ ุชุญุฏุซ
272
+
273
+ 69
274
+ 00:06:41,450 --> 00:06:45,270
275
+ ุนู…ู„ูŠุฉ ุงู„ุชูุงุนู„ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุจุงุนุชุจุงุฑ ุงู„ู…ุฌุชู…ุน ุนู…ู„ูŠุฉ
276
+
277
+ 70
278
+ 00:06:45,270 --> 00:06:49,010
279
+ ู„ุงุจุฏ ู…ู† ุงู„ุงู†ุชู…ุงุก ู…ูˆุฌูˆุฏ ุงู„ุงู†ุชู…ุงุก ุงู„ู‰ ุงู„ู…ุฌุชู…ุน
280
+
281
+ 71
282
+ 00:06:49,010 --> 00:06:53,390
283
+ ูˆุงู„ุงู†ุชู…ุงุก ูŠุนู†ูŠ ุจูŠุฌุนู„ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูŠุฒุฏุงุฏูˆู† ููŠ
284
+
285
+ 72
286
+ 00:06:53,390 --> 00:06:58,290
287
+ ุงู„ู…ุดุงุฑูƒุฉ ููŠ ู…ุนุฑูุฉ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูˆููŠ ุฃูŠุถุง ูƒูŠููŠุฉ
288
+
289
+ 73
290
+ 00:06:58,290 --> 00:07:04,860
291
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ูˆุงุถุญุŸูุงู„ู…ุดุงุฑูƒุฉ .. ูุงู„ุงู†ุชู…ุงุก ู…ู‡ู…
292
+
293
+ 74
294
+ 00:07:04,860 --> 00:07:08,600
295
+ ุฌุฏุง ู„ุฃู† ุงู„ู…ู†ุชู…ุงุก ู‡ูˆ ุงู„ู„ูŠ ุจูŠุณุจุจ ู„ู†ุง ุงู„ู…ุดุงุฑูƒุฉ ุฃูˆ
296
+
297
+ 75
298
+ 00:07:08,600 --> 00:07:12,660
299
+ ุจูŠุญุฏุซ ู„ู†ุง ุงู„ู…ุดุงุฑูƒุฉ ู…ู† ู‚ุจู„ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู…ุดุงุฑูƒุฉ ููŠ
300
+
301
+ 76
302
+ 00:07:12,660 --> 00:07:17,720
303
+ ู…ุนุฑูุฉ ุงู„ู…ุดูƒู„ุงุช ูˆุญู„ ุงู„ู…ุดูƒู„ุงุช ูˆุงุถุญุŸ ูˆู‡ู†ุง ุจุชุฒุงุฏ ..
304
+
305
+ 77
306
+ 00:07:17,720 --> 00:07:21,800
307
+ ุจุชุฒุงุฏ ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ process ุงู„ู„ูŠ ู‡ูŠ ุงู† ุงู„ู…ุฌุชู…ุน
308
+
309
+ 78
310
+ 00:07:21,800 --> 00:07:26,700
311
+ ูƒุนู…ู„ูŠุฉ ู„ุฅู† ุจูŠุญุฏุซ ุชูุงุนู„ ูˆุงุถุญุŸ ูˆุชุจุงุฏู„ ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช
312
+
313
+ 79
314
+ 00:07:26,700 --> 00:07:31,840
315
+ ุจูŠู† ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู„ู…ุณุงุนุฏุชู‡ู… ุนู„ู‰ ุญู„ ู…ุดูƒู„ุงุชู‡ู…
316
+
317
+ 80
318
+ 00:07:34,270 --> 00:07:41,450
319
+ ุชุนุงู…ู„ ู…ุน ุงู„ู…ุดูƒู„ุงุช ุทุจุนุง ุชุชูˆู‚ู
320
+
321
+ 81
322
+ 00:07:41,450 --> 00:07:45,670
323
+ ุนู„ู‰ ู…ู‚ุฏุฑุฉ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุชู†ุธูŠู… ู†ูุณู‡ ู‡ู„ ุนู†ุฏู‡ ู…ู‚ุฏุฑุฉ ุนู„ู‰
324
+
325
+ 82
326
+ 00:07:45,670 --> 00:07:51,850
327
+ ุงู„ุชู†ุธูŠู…ุŸ ูƒู„ู…ุง ูƒุงู† ุงู„ู…ุฌุชู…ุน ู‚ุงุฏุฑุง ุนู„ู‰ ุชู†ุธูŠู… ู†ูุณู‡ ู‡ู†ุง
328
+
329
+ 83
330
+ 00:07:51,850 --> 00:07:56,750
331
+ ุจูŠูƒูˆู† ู‚ุงุฏุฑุง ุนู„ู‰ ู…ุนุฑูุฉ ู…ุดูƒู„ุงุชู‡ ูˆุฃูŠุถุง ู…ู…ูƒู† ุงู„ู…ู†ุธู…
332
+
333
+ 84
334
+ 00:07:56,750 --> 00:08:01,250
335
+ ูŠุณุงุนุฏู‡ ุนู„ู‰ ุฐู„ูƒ ุนู„ู‰ ู…ุนุฑูุฉ ุงู„ู…ุดูƒู„ุงุช ูˆุนู„ู‰ ูƒูŠููŠุฉ
336
+
337
+ 85
338
+ 00:08:01,250 --> 00:08:08,310
339
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุชูˆุงุถุญุŸ ุฃูŠุถู‹ุง ู…ุณุงุนุฏุฉ ุงู„ู…ุฌุชู…ุน
340
+
341
+ 86
342
+ 00:08:08,310 --> 00:08:11,830
343
+ ุจุงู„ู†ุณุจุฉ ู„ุนู†ุงุตุฑ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ุณุงุนุฏุฉ
344
+
345
+ 87
346
+ 00:08:11,830 --> 00:08:15,270
347
+ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุฅุญุฏุงุซ ุงู„ุชูƒุงู…ู„ุŒ ุงู„ุชูƒุงู…ู„ ุจูŠู† ูˆุญุฏุงุชู‡
348
+
349
+ 88
350
+ 00:08:15,270 --> 00:08:19,190
351
+ ุงู„ู…ูƒูˆู†ุฉ ู„ู‡ ุงู„ู…ุฌุชู…ุน ูˆุฒูŠุงุฏุฉ ุงู„ุชุฑุงุจุท ุจูŠู†ู‡ ูˆุจูŠู†
352
+
353
+ 89
354
+ 00:08:19,190 --> 00:08:25,410
355
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญูŠุท ุจู‡ุŒ ุฃูŠุถู‹ุง ุชูˆูุฑ ุงู„ุฅุญุณุงุณ ุจุงู„ุงู†ุชู…ุงู…ูˆ
356
+
357
+ 90
358
+ 00:08:25,410 --> 00:08:29,710
359
+ ู‡ู†ุง ุทุจุนุง ู†ุนู…ู„ ุนู„ู‰ ุฒูŠุงุฏุฉ ุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ู„ุฃู†
360
+
361
+ 91
362
+ 00:08:29,710 --> 00:08:35,470
363
+ ุจุงู„ู†ุณุจุฉ ู„ุฒูŠุงุฏุฉ ุงู„ุงู†ุชู…ุงุก ุชุนู…ู„ ุนู„ู‰ ุฒูŠุงุฏุฉ ุงู„ู…ุดุงุฑูƒุฉ ูˆ
364
+
365
+ 92
366
+ 00:08:35,470 --> 00:08:41,390
367
+ ุฒูŠุงุฏุฉ ุงู„ุชูุงุนู„ ุงู„ุงุฌุชู…ุงุนูŠ ู…ุน ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ
368
+
369
+ 93
370
+ 00:08:41,390 --> 00:08:44,850
371
+ ุงู„ู…ุดูƒู„ุงุช ูˆุชุญู‚ูŠู‚ ุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน
372
+
373
+ 94
374
+ 00:08:49,440 --> 00:08:55,220
375
+ ู†ูƒูˆู† ุจุฐู„ูƒ ุงู†ุชู‡ูŠู†ุง ู…ู† ุงู„ู…ุฌุชู…ุน ูƒ process ูŠุนู†ูŠ ูƒุนู…ู„ูŠุฉ
376
+
377
+ 95
378
+ 00:08:55,220 --> 00:09:01,120
379
+ ู†ู†ุชู‚ู„ ุงู„ุขู† ุฅู„ู‰ ุงู„ู…ูู‡ูˆู… ุงู„ุขุฎุฑ ู„ู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ
380
+
381
+ 96
382
+ 00:09:01,120 --> 00:09:04,960
383
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูˆุงู„ู…ุฌุชู…ุน
384
+
385
+ 97
386
+ 00:09:04,960 --> 00:09:09,020
387
+ ุงู„ุฌุบุฑุงููŠ ุจุฏู†ุง ู†ุนุฑู ุฅูŠุด ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆู…ุง ู‡ูˆ
388
+
389
+ 98
390
+ 00:09:09,020 --> 00:09:14,300
391
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ููŠ ุฃูŠ ุทุงู„ุจุฉ ุจุชุนุฑู ุฅูŠุด ู‡ูˆ ุงู„ู…ุฌุชู…ุน
392
+
393
+ 99
394
+ 00:09:14,300 --> 00:09:18,280
395
+ ูˆู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ู†ุนู… ูŠุง ุจู†ุชูŠู‡ูˆ ู…ูˆู‚ูุฉ
396
+
397
+ 100
398
+ 00:09:18,280 --> 00:09:22,180
399
+ ุฌุบุฑุงููŠุฉ ู…ุนูŠู†ุฉุŒ ูุณุชูƒูˆู† ู‚ุฑูŠุฉ ุฃูˆ ู…ุฏูŠู†ุฉ ุฃูˆ ุจู„ุฏุฉ ุฃูˆ ุญูŠุฉ
400
+
401
+ 101
402
+ 00:09:22,180 --> 00:09:26,800
403
+ ุฃูˆ ู…ุคุชู…ุฑ ุฃูˆ ู‚ู„ูŠู„ ุฃูˆ ุฏูˆู„ุฉุŸ ู†ุนู…ุŒ ุฅุฐุง ู‡ู†ุง ู…ุญุฏุฏ ุจุญุฏูˆุฏ
404
+
405
+ 102
406
+ 00:09:26,800 --> 00:09:31,300
407
+ ุฌุบุฑุงููŠุฉ ู…ู† ุฎู„ุงู„ ุงู„ุฅุณู…ุŒ ูˆู„ุฐู„ูƒ ุจู†ู‚ูˆู„ ู…ุฌุชู…ุน ุฌุบุฑุงููŠุŒ
408
+
409
+ 103
410
+ 00:09:31,300 --> 00:09:36,610
411
+ ุฅุฐุง ู„ู‡ ุญุฏูˆุฏ ุฌุบุฑุงููŠุฉูˆุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ู‚ุฏ ุชูƒูˆู† ู„ุญูŠุŒ
412
+
413
+ 104
414
+ 00:09:36,610 --> 00:09:43,230
415
+ ู‚ุฏ ุชูƒูˆู† ู„ู‚ุฑูŠุฉุŒ ู‚ุฏ ุชูƒูˆู† ู„ู…ุฏูŠู†ุฉุŒ ู‚ุฏ ุชูƒูˆู† ู„ู…ุฌุชู…ุน ูƒูƒู„
416
+
417
+ 105
418
+ 00:09:43,230 --> 00:09:47,710
419
+ ูŠุนู†ูŠ ู…ุญุงูุธุฉ ุฃูˆ ุฏูˆู„ุฉุŒ ู…ุฌุชู…ุน ู‚ูˆู…ูŠ ุฃูˆ ุฃูŠุถู‹ุง ู…ู…ูƒู† ูŠูƒูˆู†
420
+
421
+ 106
422
+ 00:09:47,710 --> 00:09:52,390
423
+ ู„ู‚ุงุฑุฉุŒ ุนุฏุฏ ู…ู† ุงู„ุฏูˆู„ ุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู…ุฌุชู…ุน ุงู„ุนุงู„ู…ูŠ
424
+
425
+ 107
426
+ 00:09:52,390 --> 00:09:57,590
427
+ ุงู„ู„ูŠ ุจูŠุดู…ู„ ุงู„ูƒุฑุฉ ุงู„ุฃุฑุถูŠุฉ ูƒูƒู„ุŒ ุจุญุฏูˆุฏู‡ุง ูƒูƒู„ุŒ ูˆุงุถุญุŸ
428
+
429
+ 108
430
+ 00:09:57,590 --> 00:10:01,710
431
+ ุฅุฐู† ู‡ุฐุง ู‡ูˆ ุงู„ู…ูู‡ูˆู… ุงู„ุฌุบุฑุงููŠ ู„ู„ู…ุฌุชู…ุนุŒ ุงู„ู…ุญุฏุฏ
432
+
433
+ 109
434
+ 00:10:01,710 --> 00:10:07,810
435
+ ุจุงู„ุญุฏูˆุฏูˆุงู„ู…ุณู…ูŠุงุช ูƒู…ุง ุฐูƒุฑู†ุงู‡ุง ู…ุณู…ูŠุงุช ุฃุญูŠุงุกุŒ ู…ุฏู†ุŒ
436
+
437
+ 110
438
+ 00:10:07,810 --> 00:10:14,550
439
+ ู‚ุฑู‰ุŒ ุฏูˆู„ ูˆู‡ูƒุฐุงุŒ ูˆุงุถุญุŸ ูู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุฏุงุฆู…ุง ุงู„ู…ุญุฏุฏ
440
+
441
+ 111
442
+ 00:10:14,550 --> 00:10:20,580
443
+ ุจุญุฏูˆุฏ ุฌุบุฑุงููŠุฉุทุจุนุงู‹ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฌุบุฑุงููŠุฉ ู‡ู†ุง ุฏุงุฆู…ุง ุฃูŠ
444
+
445
+ 112
446
+ 00:10:20,580 --> 00:10:25,580
447
+ ู…ุฌุชู…ุน ูˆุงุญู†ุง ุฎุงุตุฉ ู…ู† ุฎู„ุงู„ ู…ูู‡ูˆู… ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
448
+
449
+ 113
450
+ 00:10:25,580 --> 00:10:29,260
451
+ ุงุณู…ู‡ Community Organization ูŠุนู†ูŠ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน
452
+
453
+ 114
454
+ 00:10:29,260 --> 00:10:32,260
455
+ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ ุงู„ุตุบูŠุฑุฉ ูุงุญู†ุง ุจู†ุฑูƒุฒ ุนู„ู‰
456
+
457
+ 115
458
+ 00:10:32,260 --> 00:10:36,480
459
+ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ ู„ุฃู†ู‡ ู„ู†ุง ุฏูˆุฑ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
460
+
461
+ 116
462
+ 00:10:36,480 --> 00:10:40,360
463
+ ููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ
464
+
465
+ 117
466
+ 00:10:40,360 --> 00:10:44,220
467
+ ุงู„ุตุบูŠุฑุฉ ุฃูˆู„ ู…ุง ุธู‡ุฑ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนู„ู„ุชุนุงู…ู„ ู…ุน
468
+
469
+ 118
470
+ 00:10:44,220 --> 00:10:47,500
471
+ ู…ุซู„ ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ูˆู„ุฐู„ูƒ ุงุณู…ู‡ุง ุงู„ุนู„ู…ูŠ community
472
+
473
+ 119
474
+ 00:10:47,500 --> 00:10:51,420
475
+ community organization ูŠุนู†ูŠ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู„ูƒู†
476
+
477
+ 120
478
+ 00:10:51,420 --> 00:10:55,500
479
+ ุงู„ูŠูˆู… ุจุฏุฃุช ููŠ ุงู„ุนุตุฑ ุงู„ุญุงู„ูŠ ุฃู† ู†ุชุนุงู…ู„ ุฃูŠุถุง ู…ุด ุจุงู„
480
+
481
+ 121
482
+ 00:10:55,500 --> 00:10:59,180
483
+ community ู†ุชุนุงู…ู„ ุจุงู„ society ุฃูŠุถุง ุจุงู„ู…ุฌุชู…ุน ูƒูƒู„
484
+
485
+ 122
486
+ 00:10:59,180 --> 00:11:04,540
487
+ ูˆุงู„ู…ุฌุชู…ุน ูƒุจูŠุฑ ูˆุงุถุญุŸ ู„ูƒู† ุงุญู†ุง ุฏุงุฆู…ุง ุงู„ู…ุฌุชู…ุน
488
+
489
+ 123
490
+ 00:11:04,540 --> 00:11:09,640
491
+ ุงู„ุฌุบุฑุงููŠ ุงู„ู„ูŠ ุจู†ุชุนุงู…ู„ ู…ุนุงู‡ ู„ู‡ ุญุฏูˆุฏ ุฌุบุฑุงููŠุฉ ูˆุทุจุนุง
492
+
493
+ 124
494
+ 00:11:09,900 --> 00:11:14,080
495
+ ู‡ุฐู‡ ุงู„ุญุฏูˆุฏ ู…ุนุฑูˆูุฉ ุณูˆุงุก ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ ุฃูˆ ุนู„ู‰
496
+
497
+ 125
498
+ 00:11:14,080 --> 00:11:18,820
499
+ ุงู„ู…ุณุชูˆู‰ ุงู„ู‚ูˆู‰ ุทุจุนุง ุนู…ู„ ุงู„ู…ู†ุธู… ุจูŠูƒูˆู† ููŠ ุฅุทุงุฑ
500
+
501
+ 126
502
+ 00:11:18,820 --> 00:11:23,440
503
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุญุฏูˆุฏ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆูŠุชุนุงู…ู„ ู…ุน
504
+
505
+ 127
506
+ 00:11:23,440 --> 00:11:28,660
507
+ ูƒุงูุฉ ุงู„ูุฆุงุช ุงู„ูุฆุงุช ู„ู…ุง ู†ู‚ูˆู„ ูุฆุงุช ูŠุนู†ูŠ ูุฆุงุช ุงู„ุณูƒุงู†
508
+
509
+ 128
510
+ 00:11:28,660 --> 00:11:33,540
511
+ ุจู…ุฎุชู„ู ุฃู†ูˆุงุนุงู„ุฐูƒูˆุฑุŒ ุงู„ุฅู†ุงุซุŒ ุงู„ู…ุฑุฃุฉุŒ ุงู„ุฑุฌู„ุŒ
512
+
513
+ 129
514
+ 00:11:33,540 --> 00:11:39,080
515
+ ุงู„ุฃุทูุงู„ุŒ ุงู„ุดุจุงุจุŒ ุงู„ู…ุนุงู‚ูŠู†ุŒ ุงู„ู…ุณู†ูŠู† ูˆู‡ูƒุฐุง ุงู„ูุฆุงุช
516
+
517
+ 130
518
+ 00:11:39,080 --> 00:11:43,480
519
+ ูุฅุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุจูƒุงูุฉ ูุฆุงุชู‡ ู„ู…ุง ู†ู‚ูˆู„
520
+
521
+ 131
522
+ 00:11:43,480 --> 00:11:48,760
523
+ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ุฃูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃูŠุถุง ู„ูŠุณ ู…ู†
524
+
525
+ 132
526
+ 00:11:48,760 --> 00:11:53,900
527
+ ูุฆุงุชู‡ ุงู„ู…ูˆุฌูˆุฏุฉ ู„ุฃู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูŠูˆุฌุฏ ููŠู‡ ุฃูŠุถุง
528
+
529
+ 133
530
+ 00:11:53,900 --> 00:11:59,440
531
+ ู…ุงุฐุง ุบูŠุฑ ุงู„ูุฆุงุช ุงู„ู…ู†ุธู…ุงุช ุงู„ู…ุคุณุณุงุช ูŠุนู†ูŠุงู„ุงุฌุชู…ุงุนูŠุฉ
532
+
533
+ 134
534
+ 00:11:59,440 --> 00:12:03,380
535
+ ูˆุงู„ุงู‚ุชุตุงุฏูŠุฉ ู„ูƒู† ุงุญู†ุง ู†ุชุนุงู…ู„ ููŠ ุฅุทุงุฑ ุงู„ู…ุคุณุณุงุช
536
+
537
+ 135
538
+ 00:12:03,380 --> 00:12:06,940
539
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ูุงู„ู…ู†ุธู…ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูŠุถุง
540
+
541
+ 136
542
+ 00:12:06,940 --> 00:12:11,460
543
+ ุชุนุชุจุฑ ููŠ ุฅุทุงุฑ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ู„ู„ู…ุฌุชู…ุน ุงู„ุฐูŠ ู†ุชุนุงู…ู„
544
+
545
+ 137
546
+ 00:12:11,460 --> 00:12:16,640
547
+ ู…ุนู‡ ูุงู„ู…ู†ุธู… ูŠุชุนุงู…ู„ ู…ุน ุงู„ูุฆุงุช ูุฆุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฎุชู„ูุฉ
548
+
549
+ 138
550
+ 00:12:16,640 --> 00:12:21,800
551
+ ูˆูŠุชุนุงู…ู„ ู…ุน ุงู„ู…ู†ุธู…ุงุช ุฃูŠุถุง ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐุง ุงู„ู…ุฌุชู…ุน
552
+
553
+ 139
554
+ 00:12:21,800 --> 00:12:27,540
555
+ ูู‡ู…ู†ุง ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ุทูŠุจ ุงู„ุขู† ุจุฏู†ุง ู†ุนุฑู ุงู„ู…ุฌุชู…ุน
556
+
557
+ 140
558
+ 00:12:27,540 --> 00:12:32,160
559
+ ุงู„ูˆุธูŠูู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŸ ูŠุชุตู ุจูŠู‡ ุฌู…ุงุนุฉ ุฃูˆ
560
+
561
+ 141
562
+ 00:12:32,160 --> 00:12:36,240
563
+ ุฃูุฑุงุฏ ุฏู„ูŠู„ ู„ู‡ู… ู…ูŠูˆุฑ ูˆุงู‡ุชู…ุงู…ุงุช ู…ุดุชุฑูƒุฉ ุฏุงุฎู„ ู…ู†ุทู‚ุฉ
564
+
565
+ 142
566
+ 00:12:36,240 --> 00:12:40,380
567
+ ุฌุบุฑุงููŠุฉ ู…ุญุฏุฏุฉ ุงู„ุชุตู†ูŠู ู‡ู†ุง ู„ุง ูŠู†ุตุฑ ุนู„ู‰ ุฌู…ูŠุน ุงู„ุฃูุฑุงุฏ
568
+
569
+ 143
570
+ 00:12:40,380 --> 00:12:43,940
571
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ูˆุฅู„ุง ุนู„ู‰ ุงู„ุฃู‡ุฏุงู ุฃูˆ ุงู„ุฃุดุฎุงุต ุฃูˆ
572
+
573
+ 144
574
+ 00:12:43,940 --> 00:12:47,720
575
+ ุงู„ุฃูุฑุงุฏ ุฃูˆ ุงู„ุฌุงู…ุนุงุช ุงู„ู„ูŠ ูˆุฏูŠ ู„ู‡ู… ุงู‡ุชู…ุงู…ุงุช ูˆู…ุตุงู„ุญ
576
+
577
+ 145
578
+ 00:12:47,720 --> 00:12:51,840
579
+ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ููŠ ุจุทุงู‚ ุงู„ู…ุนู„ู…ูŠู† ุฃูˆ ุงู„ุฃุทุจุงุก ุจุงู„ุถุจุท ุฅุฐุง
580
+
581
+ 146
582
+ 00:12:51,840 --> 00:12:55,740
583
+ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠุนู†ูŠ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน
584
+
585
+ 147
586
+ 00:12:55,740 --> 00:12:59,840
587
+ ุงู„ุฌุบุฑุงููŠ ูŠูˆุฌุฏ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ุฃู†ูู‚ุงุช ู…ุฎุชู„ูุฉูู„ุฐู„ูƒ
588
+
589
+ 148
590
+ 00:12:59,840 --> 00:13:02,720
591
+ ุฅู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู…ู† ุฎู„ุงู„ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
592
+
593
+ 149
594
+ 00:13:02,720 --> 00:13:07,220
595
+ ูŠุชุนุงู…ู„ ู…ุน ูุฆุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุฉ
596
+
597
+ 150
598
+ 00:13:07,220 --> 00:13:11,740
599
+ ุงู„ู…ุนุงู‚ูŠู† ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุฉ ุงู„ุดุจุงุจ
600
+
601
+ 151
602
+ 00:13:11,740 --> 00:13:17,080
603
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ุจู†ุณู…ูŠู‡ ู…ุฌุชู…ุน ูˆุธูŠููŠ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน
604
+
605
+ 152
606
+ 00:13:17,080 --> 00:13:22,480
607
+ ุงู„ู…ุฑุฃุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ุงู„ุฃุทูุงู„ุŒ ูุฆุฉ
608
+
609
+ 153
610
+ 00:13:22,480 --> 00:13:28,670
611
+ ุงู„ุฃุทูุงู„ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ู…ุฌุชู…ุน ูˆุธูŠููŠุŒ ูˆู‡ูƒุฐุงุŒ ูู„ุฐู„ูƒู‡ุฐุง
612
+
613
+ 154
614
+ 00:13:28,670 --> 00:13:33,390
615
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠุนู†ูŠ ู…ุฑุชุจุท ุจุงู„ูุฆุงุช ุงู„ุชูŠ ุชูˆุฌุฏ ููŠู‡
616
+
617
+ 155
618
+ 00:13:33,390 --> 00:13:41,350
619
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃุญูŠุงู†ุงู‹ ู‚ุฏ ู†ุชุนุงู…ู„ ู…ุน ู…ุดูƒู„ุฉ ู…ู†
620
+
621
+ 156
622
+ 00:13:41,350 --> 00:13:45,600
623
+ ู…ุดูƒู„ุฉูˆู‚ุฏ ุชุฑุชุจู‚ ุจู…ุฌุชู…ุน ุฌุบุฑุงููŠ ู…ุนูŠู† ูˆ ุฃูƒุซุฑ ู…ู†
624
+
625
+ 157
626
+ 00:13:45,600 --> 00:13:49,880
627
+ ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง ู…ุง ุณู†ุชุญุฏุซ ุนู†ู‡ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุงู„ู…ุดูƒู„ุงุช
628
+
629
+ 158
630
+ 00:13:49,880 --> 00:13:54,040
631
+ ุงู„ุชูŠ ูˆุฌู‡ู‡ุง ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุฃุณุงุณูŠ ุงู„ุนู…ู„ ู‡ู†ุง ููŠ
632
+
633
+ 159
634
+ 00:13:54,040 --> 00:13:58,680
635
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ูˆู„ุง ุงู„ู†ุงุณ ุงู„ู†ุงุณ
636
+
637
+ 160
638
+ 00:13:58,680 --> 00:14:03,160
639
+ ุจูุฆุงุชู‡ู… ุงู„ู…ุฎุชู„ูุฉ ูˆ ุงู„ูˆุธูŠููŠุฉ ุณูˆุงุก ูƒุงู†ูˆุง ุฃุฎุตุงุฆูŠู†
640
+
641
+ 161
642
+ 00:14:03,160 --> 00:14:07,860
643
+ ุงุฌุชู…ุงุนูŠูŠู† ุณูˆุงุก ูƒุงู†ูˆุง ุฃุทุจุงุก ุณูˆุงุก ูƒุงู†ูˆุง ู…ุนู„ู…ูŠู† ุณูˆุงุก
644
+
645
+ 162
646
+ 00:14:07,860 --> 00:14:12,750
647
+ ูƒุงู†ูˆุง ู…ู‡ู†ุฏุณูŠู† ุณูˆุงุก ูƒุงู†ูˆุง ุนู…ุงู„ ูˆ ู‡ูƒุฐุงูุฆุงุช ุงู„ู…ุฌุชู…ุน
648
+
649
+ 163
650
+ 00:14:12,750 --> 00:14:17,270
651
+ ุงู„ู…ุฎุชู„ูุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน
652
+
653
+ 164
654
+ 00:14:17,270 --> 00:14:24,310
655
+ ุงู„ูˆุธูŠู ุทุจุนุง
656
+
657
+ 165
658
+ 00:14:24,310 --> 00:14:29,590
659
+ ุจุนุฏ ุงู„ุงู†ุชู‚ุงู„ ู…ู† ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
660
+
661
+ 166
662
+ 00:14:29,590 --> 00:14:36,410
663
+ ุงู„ูˆุธูŠู ูŠุนู†ูŠ ุฃู† ู†ู†ุชู‚ู„ ุงู„ุขู† ุฅู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุฃูŠู† ู…ูˆู‚ุน
664
+
665
+ 167
666
+ 00:14:36,410 --> 00:14:40,890
667
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐุง ุงู„ุชู‚ุณูŠู… ููŠ ุฃุทุงุฑ ุงู„ู…ุฌุชู…ุน
668
+
669
+ 168
670
+ 00:14:42,000 --> 00:14:51,040
671
+ ุชู‚ูˆู„ ู…ูˆู‚ุน ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆุงุถุญุŸ
672
+
673
+ 169
674
+ 00:14:51,040 --> 00:14:55,440
675
+ ุจุฏู†ุง ู†ุดูˆู ููŠ ูŠุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุชุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
676
+
677
+ 170
678
+ 00:14:55,440 --> 00:15:01,680
679
+ ุงู„ูˆุธูŠููŠ ุฃูŠู† ู…ูˆู‚ุน ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐุง ุงู„ุชู‚ุณูŠู…
680
+
681
+ 171
682
+ 00:15:01,680 --> 00:15:05,830
683
+ ุงู„ู„ูŠ ุงุญู†ุง ู‚ู„ู†ุงู‡ ู‡ู„ ู‡ูˆ ู…ุง ู†ูุตู„ ุนู† ุจุนุถู‡ ุงู„ุจุนุถุŸู‡ู„ ู‡ูˆ
684
+
685
+ 172
686
+ 00:15:05,830 --> 00:15:12,190
687
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠู†ูุตู„ ุนู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ูƒู„ู‡
688
+
689
+ 173
690
+ 00:15:12,190 --> 00:15:15,790
691
+ ูŠูƒู…ู„ ุจุนุถ ุจุณ ุงุญู†ุง ุจู†ุฌุณู…ู‡ู… ุนู„ุดุงู† ุงู„ุฏุฑุงุณุฉ ูˆุฅู„ุง
692
+
693
+ 174
694
+ 00:15:15,790 --> 00:15:19,030
695
+ ุงู„ุฃุฎุตุงุฆูŠ ุจูŠุนู…ู„ ุฃุญูŠุงู†ุง ููŠ ุฃุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
696
+
697
+ 175
698
+ 00:15:19,030 --> 00:15:23,490
699
+ ูˆู„ูƒู† ู‚ุฏ ูŠุนู…ู„ ู…ุน ุจุนุถ ุงู„ูุฆุงุช ู…ุน ุจุนุถ ุงู„ู…ุคุณุณุงุช ุฏุงุฎู„
700
+
701
+ 176
702
+ 00:15:23,490 --> 00:15:27,450
703
+ ุงู„ู…ุฌุชู…ุนุŒ ูˆุงุถุญุŸ ุฅุฐู† ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
704
+
705
+ 177
706
+ 00:15:27,450 --> 00:15:32,850
707
+ ูˆููŠ ู†ูุณ ุงู„ูˆู‚ุช ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠูˆุงุถุญุŸ ูู„ุฐู„ูƒ
708
+
709
+ 178
710
+ 00:15:32,850 --> 00:15:36,510
711
+ ุงู„ุชู‚ุณูŠู… ู‡ูˆ ู…ู† ุฃุฌู„ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ูˆู„ูƒู† ุงู„ู…ุฌุชู…ุน
712
+
713
+ 179
714
+ 00:15:36,510 --> 00:15:41,650
715
+ ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ุง ูŠู…ูƒู† ูุตู„ู‡ู…ุง ุนู† ุจุนุถู‡ู…ุง
716
+
717
+ 180
718
+ 00:15:41,650 --> 00:15:51,390
719
+ ุงู„ุจุนุถ ู‡ุฐุง ุจุฏู†ุง ู†ูู‡ู…ู‡ ุฃูŠุถุง ูˆุงุถุญุŸ ุทุจุนุง
720
+
721
+ 181
722
+ 00:15:51,390 --> 00:15:56,950
723
+ ุงู„ู…ู†ุธู… ู‡ู†ุง ุจูŠู‚ูู… ุงู„ู…ุฌุชู…ุน ุญุณุจ ุงู„ู…ู‡ู…ุฉ ุฃูˆ ุงู„ุนู…ู„
724
+
725
+ 182
726
+ 00:15:56,950 --> 00:16:01,340
727
+ ุงู„ู…ูƒู„ูุฉ ู…ุง ู‡ูˆ ุทุจูŠุนุฉ ุงู„ุนู…ู„ุŸุฅุฐุง ูƒู†ุง ุจู†ุนู…ู„ ููŠ ุฅุทุงุฑ
728
+
729
+ 183
730
+ 00:16:01,340 --> 00:16:07,280
731
+ ูˆุญุฏุฉ ุฅุฌุชู…ุงุนูŠุฉ ุฃูˆ ุฌู…ุนูŠุฉ ุชู†ู…ูŠุฉ ููŠ ุฅุทุงุฑ ู…ุฌุชู…ุน ู…ุญู„ูŠ ุฃูˆ
732
+
733
+ 184
734
+ 00:16:07,280 --> 00:16:11,600
735
+ ู…ุฏุฑุณ ุฃูˆ ู…ุตู†ุน ุฃูˆ ููŠ ุฃูŠ ู…ูˆู‚ุน ุฅู†ุชุงุฌูŠุŒ ู‡ู†ุง ุจุชูƒูˆู†
736
+
737
+ 185
738
+ 00:16:11,600 --> 00:16:14,660
739
+ ุงู„ู…ู‡ู…ุฉ ู‡ูŠ ุชู†ู…ูŠุฉ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงู„ู„ูŠ ุจู†ุนู…ู„ ููŠ
740
+
741
+ 186
742
+ 00:16:14,660 --> 00:16:18,120
743
+ ุฅุทุงุฑู‡ุŒ ูุจูƒูˆู† ุงู„ุนู…ู„ ู‡ู†ุง ู…ุน ุฅูŠู‡ุŸ ู…ุน ุงู„ูุฏูˆุฏ
744
+
745
+ 187
746
+ 00:16:18,120 --> 00:16:21,500
747
+ ุงู„ุฌุบุฑุงููŠุฉุŒ ุนู„ู‰ ุฃุณุงุณ ุจู†ุนู…ู„ ุชู†ู…ูŠุฉ ููŠ ุฅุทุงุฑ ู‡ุฐุง
748
+
749
+ 188
750
+ 00:16:21,500 --> 00:16:28,380
751
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŒ ูˆุงุถุญุŸุญูŠุซ ูŠุณุนู‰ ุฅู„ู‰ ุชุญุฏูŠุฏ ูˆุงู„ุชุนุฑู
752
+
753
+ 189
754
+ 00:16:28,380 --> 00:16:33,580
755
+ ุนู„ู‰ ุฃู‡ู… ุงู„ู…ุคุณุณุงุช ุงู„ุนุงู…ู„ุฉ ุจู‡ ูˆู†ูˆุนูŠุฉ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุง
756
+
757
+ 190
758
+ 00:16:33,580 --> 00:16:40,280
759
+ ู„ูƒู† ุฅุฐุง ูƒุงู† ู‡ุฏูู‡ ู‡ูˆ ุฎุฏู…ุฉ ูุฆุฉ ู…ุนูŠู†ุฉุŒ ุฅุฐุง ู‡ู†ุง ุจุฑูƒุฒ
760
+
761
+ 191
762
+ 00:16:40,280 --> 00:16:44,900
763
+ ุนู…ู„ู‡ ู…ุน ู…ู†ุŸ ู…ุน ุงู„ูุฆุฉ ุงู„ุชูŠ ูŠุชุนุงู…ู„ ู…ุนู‡ุŒ ุฅุฐุง ูƒุงู† ุนู…ู„ู‡
764
+
765
+ 192
766
+ 00:16:44,900 --> 00:16:50,230
767
+ ู…ุน ุงู„ุดุจุงุจุŒ ุฅุฐุง ุจุฑูƒุฒ ุนู…ู„ู‡ ุนู„ู‰ ูุฆุฉ ุงู„ุดุจุงุจู…ุนุฑูุฉ
768
+
769
+ 193
770
+ 00:16:50,230 --> 00:16:54,890
771
+ ุงู„ุดุจุงุจ ูˆู…ุดูƒู„ุชู‡ู… ูˆุญุงุฌุงุชู‡ู… ูˆูˆุถุน ุงู„ุฎุทุท ูˆู…ุณุงุนุฏุชู‡ู… ุนู„ู‰
772
+
773
+ 194
774
+ 00:16:54,890 --> 00:16:58,550
775
+ ุญู„ ู…ุดูƒู„ุชู‡ู… ุฅุฐุง ู‡ู†ุง ุจุฑูƒุฒ ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ููŠ
776
+
777
+ 195
778
+ 00:16:58,550 --> 00:17:03,250
779
+ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุญุณุจ ุงู„ุนู…ู„ ุงู„ุฎุงุต ุจุงู„ู…ู†ุธู…
780
+
781
+ 196
782
+ 00:17:03,250 --> 00:17:07,810
783
+ ุงู„ุฅุฌุชู…ุงุนูŠ ูˆู‡ูƒุฐุง ุฅุฐุง ูƒุงู† ุนู…ู„ูˆุง ู…ุน ูƒู„ุงุจ ู…ุซู„ุง ุนู…ู„ูˆุง
784
+
785
+ 197
786
+ 00:17:07,810 --> 00:17:11,470
787
+ ู…ุน ู…ุนุงู‚ูŠู† ุนู…ู„ูˆุง ู…ุน ู…ุณู†ูŠู† ุนู…ู„ูˆุง ู…ุน ุงู„ู…ุฑุฃุฉ ุนู…ู„ูˆุง ู…ุน
788
+
789
+ 198
790
+ 00:17:11,470 --> 00:17:16,270
791
+ ุงู„ุฃุทูุงู„ ูˆู‡ูƒุฐุง ู‡ุฐุง ูƒู„ู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ูุฆุฉ ู‡ุฐู‡ ุงู„ูˆุธูŠููŠุฉ
792
+
793
+ 199
794
+ 00:17:16,270 --> 00:17:22,030
795
+ ู‡ูŠ ุงู„ู„ูŠ ุจุชุญุฏุฏู†ูˆุนูŠุฉ ุชุนุงู…ู„ ุงู„ู…ู†ุธู… ู…ุน ู‡ุฐู‡ ุงู„ูุฆุฉ ู‡ู†ุง
796
+
797
+ 200
798
+ 00:17:22,030 --> 00:17:27,070
799
+ ุงู„ู…ุฌุชู…ุน ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ ูˆุธูŠูุฉ ู…ุฌุชู…ุน ูˆุธูŠูุฉ ู…ุฌุชู…ุน ูˆุธูŠูุฉ
800
+
801
+ 201
802
+ 00:17:27,070 --> 00:17:31,010
803
+ ุฃูŠ ู…ุฑุชุจุท ุจู†ูˆุนูŠุฉ ู…ุนูŠู†ุฉ ููŠ ุงู„ู…ุฌุชู…ุน ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง ุจูƒูˆู†
804
+
805
+ 202
806
+ 00:17:31,010 --> 00:17:35,070
807
+ ุงู„ุชุฑูƒูŠุฒ ู…ุตุงุจ ุนู„ู‰ ุฃูŠ ุนู„ู… ุนู„ู…ุงู†ุŸ ุนู„ู‰ ุงู„ูุฆุฉ ุงู„ุชูŠ ูŠุนู…ู„
808
+
809
+ 203
810
+ 00:17:35,070 --> 00:17:39,470
811
+ ู…ุนู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูƒูƒู„
812
+
813
+ 204
814
+ 00:17:39,470 --> 00:17:44,230
815
+ ูˆุงุถุญ ุจุชุนุฑู ุนู„ู‰ ุงุญุชูŠุงุฌุงุชู‡ุงุŒ ุจุชุนุฑู ุนู„ู‰ ู…ุดูƒู„ุชู‡ุงุŒ
816
+
817
+ 205
818
+ 00:17:44,230 --> 00:17:48,150
819
+ ุจุณุงุนุฏู‡ุง ุนู„ู‰ ุญู„ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุชุŒ ูˆู‡ุง ูƒุฏู‡ูู„ุฐู„ูƒ ู‡ู†ุง
820
+
821
+ 206
822
+ 00:17:48,150 --> 00:17:52,750
823
+ ุจูŠูƒูˆู† ุงู„ุงู‡ุชู…ุงู… ู„ู…ูŠู†ุŸ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŒ ู„ู„ู…ูƒุงู†
824
+
825
+ 207
826
+ 00:17:52,750 --> 00:17:56,830
827
+ ูˆู„ุง ู„ู„ู†ุงุณุŸ ู„ู„ู†ุงุณุŒ ู„ู„ูุฆุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ุจุชุชุนุงู…ู„
828
+
829
+ 208
830
+ 00:17:56,830 --> 00:18:00,490
831
+ ู…ุนู‡ุงุŒ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู‡ู… ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจุชุชุนุงู…ู„ ู…ุนู‡ุงุŒ ูˆ
832
+
833
+ 209
834
+ 00:18:00,490 --> 00:18:05,190
835
+ ู‡ูƒุฐุง ููŠู…ูƒู† ู‡ู†ุง ุจุชุทุฑู‚ ุนู…ู„ู‡ ู…ุน ุงู„ู†ุงุณ ุฅู„ู‰ ุฃูƒุซุฑ ู…ู†
836
+
837
+ 210
838
+ 00:18:05,190 --> 00:18:10,830
839
+ ู…ูƒุงู†ุŒ ุฃูƒุซุฑ ู…ู† ู…ูƒุงู† ุฌุบุฑุงููŠ ููŠ ุฏุงุฑ ุงู„ู…ุฌุชู…ุนุŒ ูˆุงุถุญุŸ
840
+
841
+ 211
842
+ 00:18:10,830 --> 00:18:15,480
843
+ ุฅุฐุง ุงู„ู…ู†ุธู… ู‡ู†ุง ูŠุนู…ู„ ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ุฌุบุฑุงููŠู…ู…ูƒู† ูŠู‡ู…ู„
844
+
845
+ 212
846
+ 00:18:15,480 --> 00:18:19,580
847
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ู‡ูˆ ุงู„ู„ู‡ ู„ุง ูŠู‡ู…ู„ู‡ ุนู†ุฏู…ุง ูŠุนู…ู„ ู…ุน
848
+
849
+ 213
850
+ 00:18:19,580 --> 00:18:24,320
851
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู„ุง ูŠู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุงุถุญุŸ ู„ุง
852
+
853
+ 214
854
+ 00:18:24,320 --> 00:18:28,480
855
+ ูŠู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุญูŠู†ู…ุง ูŠุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู
856
+
857
+ 215
858
+ 00:18:28,480 --> 00:18:32,980
859
+ ุฃูŠุถุง ู„ุง ู†ู†ูƒุฑ ูˆู„ุง ู†ู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู„ุฃู† ุงู„ู…ุฌุชู…ุน
860
+
861
+ 216
862
+ 00:18:32,980 --> 00:18:37,540
863
+ ุงู„ูˆุธูŠู ู…ูˆุฌูˆุฏ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฅุฐุง ูƒู„ ู…ู†ู‡ู…
864
+
865
+ 217
866
+ 00:18:37,540 --> 00:18:42,980
867
+ ู…ูƒู…ู„ ู„ู…ูŠู†ุŸ ุงู„ุขุฎุฑ ูˆุฃูŠุถุง ุงู„ู…ู‡ุงู… ุงู„ู…ู‡ู†ูŠุฉ ู„ู„ู…ู†ุธู…
868
+
869
+ 218
870
+ 00:18:42,980 --> 00:18:47,630
871
+ ุงู„ุงุฌุชู…ุงุนูŠู…ุญุฏุฏุฉ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
872
+
873
+ 219
874
+ 00:18:47,630 --> 00:18:52,190
875
+ ุงู„ูˆุธูŠู ูˆุงู„ุชู‚ุณูŠู… ู‡ู†ุง ู…ู† ุฃุฌู„ ู…ุงุฐุงุŸ ู…ู† ุฃุฌู„ ุงู„ุฏุฑุงุณุฉ
876
+
877
+ 220
878
+ 00:18:52,190 --> 00:19:00,190
879
+ ูู‚ุท ุงู„ุฏุฑุงุณุฉ ูˆู„ุง ุงู†ูุตุงู„ ุจูŠู† ุงู„ู…ุฌุชู…ุนูŠู†ุŒ ูุงุถุญุŸ ุชูู‡ู…ู†ุง
880
+
881
+ 221
882
+ 00:19:00,190 --> 00:19:03,950
883
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ูˆูˆูŠู† ุฏูˆุฑ ุงู„ู…ู†ุธู…
884
+
885
+ 222
886
+ 00:19:03,950 --> 00:19:08,130
887
+ ุงู„ุงุฌุชู…ุงุนูŠุŸ ูŠุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูƒูƒู„ ุนู†ุฏู…ุง ูŠู‚ูˆู…
888
+
889
+ 223
890
+ 00:19:08,130 --> 00:19:13,520
891
+ ุจุฅู†ู‡ูŠุฉ ุชู†ู…ูŠุฉุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ุนู…ู„ ููŠ ุงู„ู…ุฏุงุฑุณ ููŠ ุงู„ู…ุตุงู†ุน
892
+
893
+ 224
894
+ 00:19:13,520 --> 00:19:16,740
895
+ ููŠ ุงู„ูˆุญุฏุงุช ุงู„ู…ุฌู…ุนุฉ ููŠ ูˆุญุฏุงุช ุงู„ุชู†ู…ูŠุฉ ุฅู„ู‰ ุบูŠุฑ ุฐู„ูƒ
896
+
897
+ 225
898
+ 00:19:16,740 --> 00:19:20,140
899
+ ุงู„ู…ุฑุงูƒุฒ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู„ู„ุชู†ู…ูŠุฉ ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน
900
+
901
+ 226
902
+ 00:19:20,140 --> 00:19:25,000
903
+ ูƒูƒู„ ููŠ ุฅุทุงุฑ ุฌุบุฑุงููŠ ูˆู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุงุช ุงู„ู…ุฌุชู…ุน
904
+
905
+ 227
906
+ 00:19:25,000 --> 00:19:29,920
907
+ ุฅุฐุง ุฅุทุงุฑ ูˆุธูŠูุฉ ุงู„ูุฆุงุช ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุงู„ูุฆุงุช ุงู„ู…ุฎุชู„ูุฉ
908
+
909
+ 228
910
+ 00:19:29,920 --> 00:19:34,080
911
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุธูŠููŠุฉ ุจู†ุณู…ูŠู‡ุง ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ู‡ ุนู„ุงู‚ุฉ
912
+
913
+ 229
914
+ 00:19:34,080 --> 00:19:37,480
915
+ ุจุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู…ุฑุชุจุท ู…ุน ุจุนุถู‡ ุงู„ุจุนุถ ูˆู„ุง ุงู†ูุตุงู„
916
+
917
+ 230
918
+ 00:19:37,480 --> 00:19:41,230
919
+ ุจูŠู†ู‡ู…ูˆู„ุฐู„ูƒ ุฏูˆุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู†ุฏู…ุง ูŠุนู…ู„ ู…ุน
920
+
921
+ 231
922
+ 00:19:41,230 --> 00:19:45,550
923
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู‡ูˆ ูŠุนู…ู„ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŒ
924
+
925
+ 232
926
+ 00:19:45,550 --> 00:19:50,170
927
+ ูˆุงุถุญุŸ ุทูŠุจุŒ ุฅุฐุง ุงู„ุงู†ูุตุงู„ ุจูŠู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
928
+
929
+ 233
930
+ 00:19:50,170 --> 00:19:55,910
931
+ ูˆุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŒ ู†ุฃุชูŠ ุจุนุฏ ุฐู„ูƒ ู„ู…ูˆุถูˆุน ุฌุฏูŠุฏ ู…ู†
932
+
933
+ 234
934
+ 00:19:55,910 --> 00:20:00,330
935
+ ู…ูุงู‡ูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ูˆู‡ูˆ ู…ูˆุถูˆุน
936
+
937
+ 235
938
+ 00:20:00,330 --> 00:20:05,150
939
+ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ุฃูˆ ุงู„ู…ุฌุชู…ุนูˆู‡ู†ุง ุจุฏู†ุง ู†ุนุฑู ุฅู† ู…ุฌุชู…ุน ู…ู†
940
+
941
+ 236
942
+ 00:20:05,150 --> 00:20:08,910
943
+ ุญุงุฌุฉ ุฃูˆ ู…ู† ู…ุดูƒู„ุฉ ู‡ูˆ ุงู„ุฃุณุงุณ ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
944
+
945
+ 237
946
+ 00:20:08,910 --> 00:20:13,030
947
+ ู„ุฃู†ู†ุง ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู†ุชุนุงู…ู„ ู…ุน ู…ุดูƒู„ุงุช
948
+
949
+ 238
950
+ 00:20:13,030 --> 00:20:19,050
951
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู†ุฑูƒุฒ ุนู„ู‰ ู…ูˆุถูˆุน ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉ ุฃูˆ
952
+
953
+ 239
954
+ 00:20:19,050 --> 00:20:24,290
955
+ ุญุงุฌุฉู„ุฃู† ุชุนุงู…ู„ู†ุง ู…ุน ุงู„ู…ุดูƒู„ุงุช ู„ูƒูŠ ู†ุณุงุนุฏ ุงู„ู†ุงุณ ุนู„ู‰
956
+
957
+ 240
958
+ 00:20:24,290 --> 00:20:29,510
959
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆุญู„ู‡ุง ูู„ุฐู„ูƒ ู‡ู†ุง ู…ุฌุชู…ุน ุงู„ุฏุฑุงู‚
960
+
961
+ 241
962
+ 00:20:29,510 --> 00:20:34,070
963
+ ู…ุฌุชู…ุน ููŠ ุฃุทุงุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ
964
+
965
+ 242
966
+ 00:20:34,070 --> 00:20:40,330
967
+ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ูˆุงู„ู…ุดูƒู„ุฉ ู…ู‡ู… ุฌุฏุง ูู„ุฐู„ูƒ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ
968
+
969
+ 243
970
+ 00:20:40,330 --> 00:20:47,960
971
+ ูˆุงู„ู…ุดูƒู„ุฉ ูŠุนู†ูŠ ู…ู…ูƒู†ูŠุนุฑูู†ุง ุนู„ู‰ ุฃู† ุฃุณุงุณ ุฃูŠ ู…ุฌุชู…ุน ู‡ูŠ
972
+
973
+ 244
974
+ 00:20:47,960 --> 00:20:51,680
975
+ ุงู„ู…ุดูƒู„ุฉ ูˆุงู„ู…ุดูƒู„ุฉ ุฃุญูŠุงู†ุง ู‚ุฏ ุชูƒูˆู† ููŠ ุฅุทุงุฑ ุถูŠู‚ ูˆู‚ุฏ
976
+
977
+ 245
978
+ 00:20:51,680 --> 00:20:55,680
979
+ ุชูƒูˆู† ููŠ ู…ุณุชูˆู‰ ู…ุญู„ูŠ ูˆู…ู…ูƒู† ุชูƒูˆู† ููŠ ู…ุณุชูˆู‰ ู‚ูˆู…ูŠ ูˆู…ู…ูƒู†
980
+
981
+ 246
982
+ 00:20:55,680 --> 00:20:59,940
983
+ ุชูƒูˆู† ููŠ ุฃูƒุซุฑ ู…ู† ุงู„ู…ุฌุชู…ุน ููŠ ุฃูƒุซุฑ ู…ู† ู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉ
984
+
985
+ 247
986
+ 00:20:59,940 --> 00:21:04,060
987
+ ุงู„ุชุชูˆุงุฌุฏ ู„ุง ูŠู…ูƒู† ุฃู† ุชุชูˆุงุฌุฏ ู…ู…ูƒู† ุชูƒูˆู† ููŠ ู…ุฌุชู…ุน ู…ุญู„ูŠ
988
+
989
+ 248
990
+ 00:21:04,060 --> 00:21:08,700
991
+ ุตุบูŠุฑ ูˆู…ู…ูƒู† ุชูƒูˆู† ููŠ ุนุฏุฉ ู…ุฌุชู…ุนุงุช ู…ุญู„ูŠุฉ ุฃูˆ ููŠ ู…ุฌุชู…ุน
992
+
993
+ 249
994
+ 00:21:08,700 --> 00:21:13,230
995
+ ู‚ูˆู…ูŠ ูƒุฐู„ูƒูˆู‡ุง ูƒุฐุงุŒ ูˆู…ู…ูƒู† ุชูƒูˆู† ู…ู† ู…ุฌุชู…ุน ู‚ูˆู…ูŠ ู„ู…ุฌุชู…ุน
996
+
997
+ 250
998
+ 00:21:13,230 --> 00:21:16,990
999
+ ุขุฎุฑุŒ ูˆู…ู…ูƒู† ุชูƒูˆู† ุงู„ู…ุดูƒู„ุฉ ุฃุญูŠุงู†ุงู‹ ู„ู‡ุง ุบูŠุฑ ุงู„ุทุงุจุน
1000
+
1001
+ 251
1002
+ 00:21:16,990 --> 00:21:20,850
1003
+ ุงู„ู…ุญู„ูŠ ูˆุงู„ุทุงุจุน ุงู„ู‚ูˆู…ูŠ ู„ู‡ุง ุงู„ุทุงุจุน ุงู„ุฏูˆู„ูŠุŒ ุงู„ู…ุดูƒู„ุฉ
1004
+
1005
+ 252
1006
+ 00:21:20,850 --> 00:21:24,070
1007
+ ู‚ุฏ ุชุชูุงู‚ู… ูŠูƒูˆู† ู„ู‡ุง ุงู„ุทุงุจุน ุงู„ุฏูˆู„ูŠุŒ ูู„ุฐู„ูƒ ู‡ู†ุง ุฃู†ุง
1008
+
1009
+ 253
1010
+ 00:21:24,070 --> 00:21:28,750
1011
+ ูƒู…ู†ุธู… ุงุฌุชู…ุงุนูŠ ุจุชุนุงุจู„ ู…ุน ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉุŒ ุฃูŠู†ู…ุง ุชูƒูˆู†
1012
+
1013
+ 254
1014
+ 00:21:28,750 --> 00:21:32,590
1015
+ ุงู„ู…ุดูƒู„ุฉ ุฃู†ุง ุจุชุนุงู…ู„ ู…ุนุงู‡ุŒ ูˆุฃู‚ูˆู„ ูŠุง ุญูŠุทุงู† ุทุจุนุง ุนู†ุฏู†ุง
1016
+
1017
+ 255
1018
+ 00:21:32,590 --> 00:21:36,640
1019
+ ูƒุซูŠุฑ ู…ู† ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ูˆู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉูŠุนู†ูŠ ูƒุซูŠุฑ ู…ู†
1020
+
1021
+ 256
1022
+ 00:21:36,640 --> 00:21:40,040
1023
+ ุงู„ู…ุดูƒู„ุงุช ุจุชูƒูˆู† ูุชูƒูˆู† ุนู„ู‰ ู…ุณุชูˆู‰ ู…ุญู„ูŠ ูุชูƒูˆู† ุนู„ู‰
1024
+
1025
+ 257
1026
+ 00:21:40,040 --> 00:21:44,240
1027
+ ู…ุณุชูˆู‰ ู‚ูˆู…ูŠ ูุชูƒูˆู† ุนู„ู‰ ุฃูƒุซุฑ ู…ู† ู…ุณุชูˆู‰ ู…ุญู„ูŠ ุฃูŠุถุง
1028
+
1029
+ 258
1030
+ 00:21:44,240 --> 00:21:50,860
1031
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุนุฏุฏ ู…ู† ุงู„ู…ุฌุชู…ุนุงุช ุทูŠุจ
1032
+
1033
+ 259
1034
+ 00:21:50,860 --> 00:21:56,140
1035
+ ูู„ุฐู„ูƒ ุฃู†ุง ุจู†ุฑูƒุฒ ู‡ู†ุง ุนู„ู‰ ู…ูˆุถูˆุน ุงู„ู…ุดูƒู„ุฉ ูˆุงู„ู…ุดูƒู„ุฉ
1036
+
1037
+ 260
1038
+ 00:21:56,140 --> 00:22:00,180
1039
+ ุฏุงุฆู…ุง ู†ุญู† ู„ูˆ ุจุฏู†ุง ู†ุชุนุฑู ุนู„ูŠู‡ุง ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„
1040
+
1041
+ 261
1042
+ 00:22:00,180 --> 00:22:06,140
1043
+ ู…ุณุงุนุฏุฉ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุญู„ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ
1044
+
1045
+ 262
1046
+ 00:22:06,140 --> 00:22:11,160
1047
+ ู‡ูŠ ูˆุญุฏุฉ ุนู…ู„ ุงู„ู…ู†ุธู… ู…ุน ุงู„ู…ุฌุชู…ุนุŒ ูˆุญุฏุฉ ุนู…ู„ูŠ ููŠ ุฏุงุฎู„
1048
+
1049
+ 263
1050
+ 00:22:11,160 --> 00:22:16,080
1051
+ ุงู„ู…ุฌุชู…ุน ู‡ูŠ ู…ุน ุงู„ู…ุดูƒู„ุฉุŒ ูŠุนู†ูŠ ุนู†ุฏู…ุง ุฃูƒูˆู† ููŠ ู…ุฌุชู…ุน
1052
+
1053
+ 264
1054
+ 00:22:16,080 --> 00:22:19,360
1055
+ ุฌูŠุบุฑุงููŠุง ุฃูˆ ู…ุฌุชู…ุน ูˆ ู…ุง ูŠุชุจู‚ู‰ุŒ ุจุฑูƒุฒ ุนู„ู‰ ุงู„ู…ุดุงูƒู„ุŒ
1056
+
1057
+ 265
1058
+ 00:22:19,360 --> 00:22:23,220
1059
+ ุฃูŠู† ุชูƒูˆู† ุงู„ู…ุดูƒู„ุฉุŸ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉุŸ ู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉุŸ
1060
+
1061
+ 266
1062
+ 00:22:23,570 --> 00:22:26,550
1063
+ ุงู„ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ุจุชุนุงู…ู„ ู…ุนู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู‚ุฏ
1064
+
1065
+ 267
1066
+ 00:22:26,550 --> 00:22:30,870
1067
+ ุชูƒูˆู† ู…ุญุณูˆุณุฉ ูˆ ู‚ุฏ ุชูƒูˆู† ุบูŠุฑ ู…ุญุณูˆุณุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠุญุณ ุจู‡ุง
1068
+
1069
+ 268
1070
+ 00:22:30,870 --> 00:22:35,250
1071
+ ูˆ ู…ู…ูƒู† ุฃูŠุถุง ู„ุง ูŠุญุณ ุจู‡ุง ูƒุซูŠุฑ ู…ู†ู†ุง ูŠุนูŠุด ููŠ ู…ุดูƒู„ุงุช ู‚ุฏ
1072
+
1073
+ 269
1074
+ 00:22:35,250 --> 00:22:38,730
1075
+ ู„ุง ูŠุญุณ ุจู‡ุง ูˆู„ูƒู† ูŠุชุนุงูŠุด ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆ ุฃุญูŠุงู†ุง
1076
+
1077
+ 270
1078
+ 00:22:38,730 --> 00:22:43,740
1079
+ ุงู„ู…ุดูƒู„ุงุช ู†ุญุณ ุจู‡ุง ุจุฃู†ู‡ุง ู…ุดูƒู„ุฉูู„ุฐู„ูƒ ู†ุญู† ุฏูˆุฑู†ุง ููŠ
1080
+
1081
+ 271
1082
+ 00:22:43,740 --> 00:22:47,500
1083
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ูˆ ุฃู† ู†ุนุฑู ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุญุณูˆุณุฉ
1084
+
1085
+ 272
1086
+ 00:22:47,500 --> 00:22:51,340
1087
+ ูˆุงู„ู…ุดูƒู„ุงุช ุบูŠุฑ ุงู„ู…ุญุณูˆุณุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุญุณูˆุณุฉ ู†ุณุชุทูŠุน ุฃู†
1088
+
1089
+ 273
1090
+ 00:22:51,340 --> 00:22:55,060
1091
+ ู†ููƒุฑ ููŠ ุนู„ุงุฌู‡ุง ูˆู„ูƒู† ุฃุญูŠุงู†ุง ุงู„ู…ุดูƒู„ุงุช ุบูŠุฑ ู…ุญุณูˆุณุฉ
1092
+
1093
+ 274
1094
+ 00:22:55,060 --> 00:22:59,340
1095
+ ุชุญุชุงุฌ ุฅู„ู‰ ุงุณุชุซุงุฑุฉ ู…ู† ู‚ุจู„ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู„ุงุณุชุซุงุฑุฉ
1096
+
1097
+ 275
1098
+ 00:22:59,340 --> 00:23:04,320
1099
+ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู„ุงุญุณุงุณู‡ู… ุจู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุญุชู‰ ูŠููƒุฑูˆู† ููŠ
1100
+
1101
+ 276
1102
+ 00:23:04,320 --> 00:23:10,160
1103
+ ูƒูŠููŠุฉ ุนู„ุงุฌู‡ุง ุดูู…ู†ุง
1104
+
1105
+ 277
1106
+ 00:23:10,160 --> 00:23:17,020
1107
+ ุงู„ุงุญุชูŠุงุฌุงุชุŸุฃูŠุถุง ุฃุญูŠุงู†ุง ุงู„ุญูŠุฒ ุงู„ู…ูƒุงู†ูŠ ู„ูŠุณ ู‡ูˆ ุงู„ุฃุณุงุณ
1108
+
1109
+ 278
1110
+ 00:23:17,020 --> 00:23:20,540
1111
+ ููŠ ุงู„ู…ู…ุงุฑุณุฉ ุงู„ุญูŠุฒ ุงู„ู…ูƒุงู†ูŠ ู„ู„ู…ุดูƒู„ุฉ ู…ุด ู‡ูˆ ุงู„ุฃุณุงุณ
1112
+
1113
+ 279
1114
+ 00:23:20,540 --> 00:23:24,680
1115
+ ู…ู…ูƒู† ุงู„ู…ุดูƒู„ุฉ ุชูƒูˆู† ู„ู‡ุง ุฃูƒุซุฑ ู…ู† ู…ูƒุงู†ู‡ุง ุฃูƒุซุฑ ู…ู† ู‚ุฑูŠุฉ
1116
+
1117
+ 280
1118
+ 00:23:24,680 --> 00:23:28,220
1119
+ ุฃูƒุซุฑ ู…ู† ู…ุฏูŠู†ุฉ ุฃูƒุซุฑ ู…ู† ู…ุฌุชู…ุน ู…ุญู„ูŠ ู„ุฐู„ูƒ ู‡ู†ุง ู„ุงุจุฏ ู…ู†
1120
+
1121
+ 281
1122
+ 00:23:28,220 --> 00:23:32,480
1123
+ ุงู„ุชุนุงูˆู† ู…ุน ุงู„ุฃุฌุฒุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ู„ูƒูŠ
1124
+
1125
+ 282
1126
+ 00:23:32,480 --> 00:23:37,980
1127
+ ู†ูˆุงุฌู‡ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุฃูŠุถุง ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุบูŠุฑ
1128
+
1129
+ 283
1130
+ 00:23:38,920 --> 00:23:41,580
1131
+ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃุณุณ ุงู„ู„ูŠ ุจุนุชู…ุฏ
1132
+
1133
+ 284
1134
+ 00:23:41,580 --> 00:23:44,900
1135
+ ุนู„ูŠู‡ุง ู‡ุฐุง ุงู„ุชุตูˆุฑ ู„ู„ู…ุฌุชู…ุน ุจุงุนุชุจุงุฑู‡ ู…ุฌุชู…ุน ุงู„ ุฅูŠู‡
1136
+
1137
+ 285
1138
+ 00:23:44,900 --> 00:23:49,000
1139
+ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุบูŠุฑ ู…ุดุจุนุฉ ูˆูŠุนุงู†ู‰
1140
+
1141
+ 286
1142
+ 00:23:49,000 --> 00:23:54,440
1143
+ ู…ู†ู‡ุง ุฃูƒุซุฑ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูˆ ุชุชุถู…ู‰ ูˆ ุฃูŠุถุง ูˆ ุชุชุนู„ู‚
1144
+
1145
+ 287
1146
+ 00:23:54,440 --> 00:24:00,000
1147
+ ุจู…ุฑุงูู‚ ุนุงู…ู„ ุฃุณุงุณูŠุฉ ูุชู„ูƒ ุงู„ุงุญุชูŠุงุฌุงุช ุชุญุธู‰ ุจุงู„ุฃูˆู„ูˆูŠุฉ
1148
+
1149
+ 288
1150
+ 00:24:00,000 --> 00:24:05,320
1151
+ ุชุญุธู‰ ุจุงู„ุฃูˆู„ูˆูŠุฉุงู„ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ุจุชู‡ุฏุฏ ุฃู…ู† ุงู„ู…ุฌุชู…ุน ู‡ูŠ
1152
+
1153
+ 289
1154
+ 00:24:05,320 --> 00:24:12,800
1155
+ ู…ุง ูŠุทู„ู‚ ุนู„ูŠู‡ุง ุงุญุชูŠุงุฌุงุช ุงู„ุจู‚ุงุก ุงุญูŠุงู†ุง ุจุชุชุนู„ู‚ ุจุงู„ุฃู…ู†
1156
+
1157
+ 290
1158
+ 00:24:12,800 --> 00:24:21,720
1159
+ ุทูŠุจ ุงูŠู† ุฏูˆุฑ ุงู„ู…ู†ุธู… ููŠ ุงุทุงุฑ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ู„ูŠ ู‡ูˆ
1160
+
1161
+ 291
1162
+ 00:24:21,720 --> 00:24:29,060
1163
+ ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉ ูƒุญุงุฌุฉ ุงูŠู† ุฏูˆุฑูŠ ุงู†ุง ุฏูˆุฑูŠ ูƒู…ู†ุธู… ุงู†
1164
+
1165
+ 292
1166
+ 00:24:29,060 --> 00:24:35,010
1167
+ ุงุชุนุงู…ู„ุฃูˆ ุงู„ุญุงุฌุฉ ููŠ ู…ู†ุธู… ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ูˆูŠุนู…ู„ ุนู„ู‰
1168
+
1169
+ 293
1170
+ 00:24:35,010 --> 00:24:38,970
1171
+ ุฃุฌู‡ุฒู‡ ุดู‡ูˆุฏ ุจุนูŠู†ูŠู‡ ุดุฏูŠุฏุฉุŸ ุทุจุนุงุŒ ุฅุฐุง ุฃู†ุง ุฏูˆุฑูŠ ูƒู…ู†ุธู…
1172
+
1173
+ 294
1174
+ 00:24:38,970 --> 00:24:43,790
1175
+ ุงุฌุชู…ุงุนูŠ ู…ุน ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ ุงู„ุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ุฅู†
1176
+
1177
+ 295
1178
+ 00:24:43,790 --> 00:24:48,610
1179
+ ุฃุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ู„ูƒูŠ ุฃุณุงุนุฏ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ุนู„ู‰
1180
+
1181
+ 296
1182
+ 00:24:48,610 --> 00:24:53,490
1183
+ ู…ุนุฑูุฉ ู…ุดูƒู„ุชู‡ู… ูˆุนู„ู‰ ูˆุถุน ุงู„ุฎุทูˆุท ุฃูˆ ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ูˆุถุน
1184
+
1185
+ 297
1186
+ 00:24:53,490 --> 00:24:57,820
1187
+ ุงู„ุญู„ูˆู„ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉูˆุงุถุญุŸ ู‡ูŠ ุฏูˆุฑ ุงู„ู…ู†ุธู…ุฉ ุจุงุฎุชุตุงุฑ
1188
+
1189
+ 298
1190
+ 00:24:57,820 --> 00:25:01,980
1191
+ ูŠุนู†ูŠ ูู„ุฐู„ูƒ ุฏุงุฆู…ุง ุงู„ู…ุฌุชู…ุน ุฃูˆ ูˆุงุญุฏุฉ ุงู„ุชุนุงู…ู„ ู‡ูŠ
1192
+
1193
+ 299
1194
+ 00:25:01,980 --> 00:25:09,200
1195
+ ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ ู‡ู†ุง ู„ู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุทุจุนุง
1196
+
1197
+ 300
1198
+ 00:25:09,200 --> 00:25:13,720
1199
+ ู‡ู†ุง ููŠ ุงู„ู†ู‡ุงูŠุฉ ุญุชู‰ ู„ูˆ ุชุนุงู…ู„ู†ุง ู…ุน ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ุฃูˆ
1200
+
1201
+ 301
1202
+ 00:25:13,720 --> 00:25:17,960
1203
+ ุงู„ู…ุดูƒู„ุฉ ุจู†ุฑุฌุน ู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃู… ู„ุงุŸ
1204
+
1205
+ 302
1206
+ 00:25:17,960 --> 00:25:22,900
1207
+ ุจู†ุฑุฌุน ู„ู‡ู… ู„ุฃู† ู‡ูˆ ุงู„ุฃุณุงุณ ุจู†ุฑุฌุน ู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆู…ุฌุชู…ุน
1208
+
1209
+ 303
1210
+ 00:25:22,900 --> 00:25:27,850
1211
+ ุงู„ุฌุบุฑุงููŠูู„ุฐู„ูƒ ุญุชู‰ ู†ุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ูˆุทุจุนุง ุงุญู†ุง
1212
+
1213
+ 304
1214
+ 00:25:27,850 --> 00:25:31,730
1215
+ ููŠ ู…ูู‡ูˆู… ุงู„ู…ุณุชู‚ุจู„ ููŠ ู…ุญุงุถุฑุฉ ู‚ุงุฏู…ุฉ ู‡ู†ุชูƒู„ู… ุนู†
1216
+
1217
+ 305
1218
+ 00:25:31,730 --> 00:25:38,670
1219
+ ุงู„ู…ุดูƒู„ุฉ ูˆุงู†ูˆุงุน ุงู„ู…ุดุงูƒู„ ุจุงู„ุชูุตูŠู„ ุจุฅุฐู† ุงู„ู„ู‡ ุชุนุงู„ู‰
1220
+
1221
+ 306
1222
+ 00:25:38,670 --> 00:25:46,510
1223
+ ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูˆ ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ
1224
+
1225
+ 307
1226
+ 00:25:48,770 --> 00:25:52,410
1227
+ ู†ุชุฑุงูˆุญ ุงู„ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ ุฃูˆ ู…ุฌุชู…ุน ุงู„ู…ุคุณุณุฉ ุจุงู„ุงุณู…
1228
+
1229
+ 308
1230
+ 00:25:52,410 --> 00:25:59,590
1231
+ ุงู„ู…ู†ุธู…ุฉ ุงู„ู…ุคุณุณุฉ ุงู„ู‡ูŠุฆุฉ ูƒู„ู‡ุง ูŠุนู†ูŠ ุจู…ุนู†ู‰ ูˆุงุญุฏ ู…ุฌุชู…ุน
1232
+
1233
+ 309
1234
+ 00:25:59,590 --> 00:26:07,450
1235
+ ุงู„ู…ู†ุธู…ุฉ ุทุจุนุง ุฏู‡ ู‡ูˆ ุงู„ุชุนุงู…ู„ ุงู„ู…ู‡ู†ูŠ ู…ุน ู…ูƒูˆู†ุงุช
1236
+
1237
+ 310
1238
+ 00:26:07,450 --> 00:26:12,450
1239
+ ุงู„ู…ู†ุธู…ุงุช ูˆู…ุฌุชู…ุนู‡ุง ุงู„ุฐุงุชูŠ ู†ุนู… ุงู„ู…ู†ุธู…ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
1240
+
1241
+ 311
1242
+ 00:26:12,450 --> 00:26:18,170
1243
+ ู„ู…ุณุงุนุฏุชู‡ุง ุฃูŠ ู…ุณุงุนุฏุฉ ุฐุงุช ุงู„ู…ู†ุธู…ุงุช ู„ูƒูŠ ุชู‚ูˆู… ุจูˆุธูŠูุชู‡ุง
1244
+
1245
+ 312
1246
+ 00:26:18,550 --> 00:26:24,410
1247
+ ู„ูƒูŠ ุชู‚ูˆู… ุจุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ูˆู‡ูŠ ู…ุณุงุนุฏุฉ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
1248
+
1249
+ 313
1250
+ 00:26:24,410 --> 00:26:30,890
1251
+ ุทุจุนุง ู…ู…ูƒู†
1252
+
1253
+ 314
1254
+ 00:26:30,890 --> 00:26:35,290
1255
+ ู†ู†ุชู‚ู„ ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ุงู„ุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน
1256
+
1257
+ 315
1258
+ 00:26:35,290 --> 00:26:39,770
1259
+ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุฅู„ู‰ ุงู„ู…ุฌุชู…ุน ุงู„ุฏุงุฎู„ูŠ
1260
+
1261
+ 316
1262
+ 00:26:39,770 --> 00:26:43,550
1263
+ ู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฏุงุฎู„ูŠ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงู„ู„ูŠ ู‡ูŠ
1264
+
1265
+ 317
1266
+ 00:26:43,550 --> 00:26:47,350
1267
+ ุงู„ู…ู†ุธู…ุฉ ูŠุนู†ูŠ ุฏุงุฆู…ุง ูƒู„ ู…ุฌุชู…ุน ู…ุญู„ูŠ ููŠู‡ ุนุฏุฏ ู…ู†
1268
+
1269
+ 318
1270
+ 00:26:47,350 --> 00:26:51,050
1271
+ ุงู„ู…ู†ุธู…ุงุชูุฅุฐุง ุฅุญู†ุง ู†ุชุนุงู…ู„ ู…ุน ุงู„ู…ู†ุธู…ุฉ ููŠ ุฅุทุงุฑ
1272
+
1273
+ 319
1274
+ 00:26:51,050 --> 00:26:55,370
1275
+ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฃู† ุงู„ู…ู†ุธู…ุฉ ู„ุง ุชูˆุฌุฏ ุฅู„ุง ููŠ ู…ุฌุชู…ุนุŒ
1276
+
1277
+ 320
1278
+ 00:26:55,370 --> 00:26:59,990
1279
+ ูˆุงู„ู…ู†ุธู…ุฉ ุชูˆุฌุฏ ู„ุฅุดุจุงุญ ุญุงุฌุฉ ุฃูˆ ุญู„ ู…ุดูƒู„ุฉุŒ ูู„ุฐู„ูƒ
1280
+
1281
+ 321
1282
+ 00:26:59,990 --> 00:27:04,190
1283
+ ุงู„ู…ุฌุชู…ุน ู‚ุฑูŠุฉ ุฃูˆ ู…ุฏูŠู†ุฉ ุฃูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ุฃูˆ ุฏูˆู„ุฉ ูŠูˆุฌุฏ
1284
+
1285
+ 322
1286
+ 00:27:04,190 --> 00:27:08,570
1287
+ ููŠู‡ุง ุนุฏุฏ ู…ู† ุงู„ู…ู†ุธู…ุงุช ุฃูˆ ุงู„ู…ุคุณุณุงุชุŒ ูุฃู†ุง ู‡ู†ุง ุจุชุนุงู…ู„
1288
+
1289
+ 323
1290
+ 00:27:08,570 --> 00:27:13,640
1291
+ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ู…ู†ุธู…ุฉ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠููŠ ุฅุทุงุฑ
1292
+
1293
+ 324
1294
+ 00:27:13,640 --> 00:27:17,840
1295
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุงู„ุฐูŠ ุชูˆุฌุฏ ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุธู…ุฉ ุฃูˆ
1296
+
1297
+ 325
1298
+ 00:27:17,840 --> 00:27:27,980
1299
+ ุงู„ู…ุคุณุณุฉ ููŠ
1300
+
1301
+ 326
1302
+ 00:27:27,980 --> 00:27:32,640
1303
+ ุฃูŠุถู‹ุง ุงู„ุฃุณุณ ุงู„ู„ูŠ ูŠุนุชู…ุฏ ุนู„ูŠู‡ุง ู‡ุฐุง ุงู„ุชุตูˆุฑ ู…ุง ู‡ูŠ
1304
+
1305
+ 327
1306
+ 00:27:32,640 --> 00:27:37,870
1307
+ ุงู„ุฃุณุณุŸู…ุง ู‡ูˆ ุงู„ุฃุณุงุณ ุงู„ุฃูˆู„ู‰ุŸ ุงู„ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑ
1308
+
1309
+ 328
1310
+ 00:27:37,870 --> 00:27:41,530
1311
+ ุงู„ู…ู†ุธู…ุฉ ุฏู‡ ูƒูŠ ุชุชู…ูƒู† ู…ู† ุงู„ุชุนุงู…ู„ ุจูุนุงู„ูŠุฉ ู…ุชุฒุงูŠุฏุฉ ู…ุน
1312
+
1313
+ 329
1314
+ 00:27:41,530 --> 00:27:45,290
1315
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุณุชููŠุฏ ู…ู† ุฎุฏู…ุชู‡ุง ุฅุฐุง ุงู„ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑ
1316
+
1317
+ 330
1318
+ 00:27:45,290 --> 00:27:51,830
1319
+ ุงู„ู…ู†ุธู…ุฉุŒ ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑู‡ุงุŒ ุญุชู‰ ุชุชู…ูƒู† ุฃู† ุชุชุนุงู…ู„
1320
+
1321
+ 331
1322
+ 00:27:51,830 --> 00:27:54,550
1323
+ ุจูุนุงู„ูŠุฉ ู…ุชุฒุงูŠุฏุฉ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฐูŠ ุชูˆุฌุฏ ููŠู‡ุง ุฏูŠ
1324
+
1325
+ 332
1326
+ 00:27:54,550 --> 00:27:59,600
1327
+ ุงู„ู…ู†ุธู…ุฉุŒ ู…ุงุฐุง ุฃูŠุถุงุŸุชุญุฑูŠุฑ ุจุงู„ุชู‚ูŠูŠู… ุงู„ุนู…ู„ูŠุงุช ุงู„ุชูŠ
1328
+
1329
+ 333
1330
+ 00:27:59,600 --> 00:28:03,020
1331
+ ุชุคุชูŠู‡ุง ุงู„ู…ู†ุธู…ุงุช ุงู„ู…ุณุชููŠุฏูŠู† ูˆุชุญุฏูŠุฏ ุงู„ุนุงู…ู„ุฉ ุงู„ู†ุธูŠููŠุฉ
1332
+
1333
+ 334
1334
+ 00:28:03,020 --> 00:28:05,680
1335
+ ุงู„ุชูŠ ุชุคุซุฑู‡ุง ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุฉุŸ ุทุจุนุง ูƒุนู…ู„ูŠุฉ ุชู‚ูŠูŠู…ูŠุฉ ู„ุงุจุฏ
1336
+
1337
+ 335
1338
+ 00:28:05,680 --> 00:28:08,920
1339
+ ู†ุญู„ู„ ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ุจุชูˆู… ุจูŠู‡ุง ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุฉ ูˆู†ุนุฑู
1340
+
1341
+ 336
1342
+ 00:28:08,920 --> 00:28:12,700
1343
+ ุงู„ุฅูŠุฌุงุจูŠุงุช ูˆุงู„ุณู„ุจูŠุงุช ุญุชู‰ ู†ุณุงุนุฏู‡ุง ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุฏูˆุฑู‡ุง
1344
+
1345
+ 337
1346
+ 00:28:12,700 --> 00:28:17,640
1347
+ ููŠ ุชู‚ุฏูŠู… ุฎุฏู…ุงุชู‡ุง ู„ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃูŠุถุง ู…ู† ุงู„ุฃุณุณ
1348
+
1349
+ 338
1350
+ 00:28:17,640 --> 00:28:21,120
1351
+ ุงู„ู„ูŠ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุตูˆุฑ ุงู„ู„ูŠ ู‡ูˆ ู…ุฌุชู…ุน ู‡ุฐู‡
1352
+
1353
+ 339
1354
+ 00:28:21,120 --> 00:28:24,140
1355
+ ุงู„ู…ู†ุธู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ูƒู…ู†ุธู…ุฉ ุฃูŠู‡ ุจุฏูŠ
1356
+
1357
+ 340
1358
+ 00:28:31,960 --> 00:28:37,780
1359
+ ุฏุฑุงุณุฉ ุงุญุชูŠุงุฌุงุช ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ุบูŠุฑ ุงู„ู…ุดุจุนุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ
1360
+
1361
+ 341
1362
+ 00:28:37,780 --> 00:28:43,870
1363
+ ู†ุงู‚ุตู‡ุง ูŠุนู†ูŠ ููŠ ู…ุดุงูƒู„ ููŠ ุญุงุฌุงุชุบูŠุฑ ู…ุดุจุนุฉ ู„ุฃูุฑุงุฏ
1364
+
1365
+ 342
1366
+ 00:28:43,870 --> 00:28:47,910
1367
+ ุงู„ู…ุฌุชู…ุน ู„ุงุฒู… ู†ุนุฑูู‡ุง ู„ูŠู‡ ุญุชู‰ ุชู‚ูˆู… ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุงุช
1368
+
1369
+ 343
1370
+ 00:28:47,910 --> 00:28:53,130
1371
+ ุจุฅุดุจุงุนู‡ุง ูุฏูˆุฑ ุงู„ู…ู†ุธู… ุฃู† ูŠุนุฑู ู‡ุฐู‡ ุงู„ุญุงุฌุงุช ูˆูŠุณุงุนุฏ
1372
+
1373
+ 344
1374
+ 00:28:53,130 --> 00:28:56,370
1375
+ ุงู„ู…ู†ุธู…ุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุฏูˆุฑู‡ุง ููŠ ุฅุดุจุงุน ุญุงุฌุงุช ุฃูุฑุงุฏ
1376
+
1377
+ 345
1378
+ 00:28:56,370 --> 00:29:01,210
1379
+ ุงู„ู…ุฌุชู…ุน ุฃูŠูˆุฉ ูŠุง ุจู†ุชูŠ ูุถู„ูŠ ุงู„ุนุงู…ู„ ุจูŠุงู† ู…ุฎุชู„ู ุฃู‚ุณุงู…
1380
+
1381
+ 346
1382
+ 00:29:01,210 --> 00:29:04,150
1383
+ ุงู„ู…ู†ุธู…ุฉ ู„ุชุญุณูŠู† ุงู„ุฅุจุงู‚ุงุช ูˆุงู„ุงุฑุชูุงุน ุจุงู„ุชู†ุตูŠู ุงู„ู…ุจูŠุน
1384
+
1385
+ 347
1386
+ 00:29:04,150 --> 00:29:09,320
1387
+ ุงู„ุฃู‚ุณุงู… ุทุจุนุง ูƒู„ ู…ู†ุธู…ุฉ ู„ู‡ุง ุฃู‚ุณุงู… ูˆุฅุฏุงุฑุงุชูˆูˆุญุฏุงุช
1388
+
1389
+ 348
1390
+ 00:29:09,320 --> 00:29:13,520
1391
+ ูู„ุฐู„ูƒ ู„ุงุจุฏ ู…ู† ุงู„ุชู†ุณูŠู‚ ุจูŠู† ุงู„ุฃู‚ุตุงู… ุงู„ู…ุฎุชู„ูุฉ ู„ู…ุงุฐุง
1392
+
1393
+ 349
1394
+ 00:29:13,520 --> 00:29:17,680
1395
+ ุญุชู‰ ู†ุญุฏุซ ู†ูˆุน ู…ู† ุงู„ุชุนุงูˆู† ุจูŠู† ุงู„ุนุงู…ู„ูŠู† ุฏุงุฎู„ ุงู„ู…ุคุณุณุฉ
1396
+
1397
+ 350
1398
+ 00:29:17,680 --> 00:29:21,080
1399
+ ุจูŠู† ุฃู‚ุตุงู…ู‡ุง ุงู„ู…ุฎุชู„ูุฉ ุญุชู‰ ู†ุณุงุนุฏ ุงู„ู…ุคุณุณุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู…
1400
+
1401
+ 351
1402
+ 00:29:21,080 --> 00:29:27,040
1403
+ ุจูˆุธูŠูุชู‡ุง ูˆุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ู„ู„ู…ุฌุชู…ุน ุทุจุนุง ุงู„ุตุนูˆุจุงุช ุงู„ู„ูŠ
1404
+
1405
+ 352
1406
+ 00:29:27,040 --> 00:29:28,880
1407
+ ุจุชูˆุงุฌู‡ ุงู„ุนู…ู„ ุงู„ู…ู‡ู†ูŠ
1408
+
1409
+ 353
1410
+ 00:29:33,610 --> 00:29:36,990
1411
+ ุงู„ู…ู‡ู†ูŠูŠู† ุงู„ุนุงู…ู„ูŠู† ุฏุงุฎู„ ุงู„ู…ุคุณุณุฉ ู†ุดูˆู ุฃูŠุด ุงู„ุตุนูˆุจุงุช
1412
+
1413
+ 354
1414
+ 00:29:36,990 --> 00:29:41,190
1415
+ ุงู„ู„ูŠ ุจุชูˆุฌุนู‡ู… ูˆุฃูŠุถุง ู†ุนู…ู„ ุนู„ู‰ ุชุฏู„ูŠู„ู‡ุง ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
1416
+
1417
+ 355
1418
+ 00:29:41,190 --> 00:29:50,130
1419
+ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒู…ู†ุธู…ุฉ ุทูŠุจ ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุจุงู„ุฅุถุงูุฉ
1420
+
1421
+ 356
1422
+ 00:29:50,130 --> 00:29:54,250
1423
+ ู„ู„ุฃุณุณ ุงู„ุณุงุจู‚ุฉ ูŠุนู†ูŠ ู‡ูŠ ู†ุนุชุจุฑู‡ุง ู…ุญูˆุฑ ุงู„ุนู…ู„ ู„ุฏู‰
1424
+
1425
+ 357
1426
+ 00:29:54,250 --> 00:30:03,360
1427
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุจุงู„ู…ู†ุธู…ุฉ ูˆู„ุฐู„ูƒ ุฃุญูŠุงู†ุง ู„ุงุจุฏูŠุนู†ูŠ
1428
+
1429
+ 358
1430
+ 00:30:03,360 --> 00:30:07,280
1431
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ุงุญู†ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ู‚ู„ูŠู„ ุงู„ู„ูŠ ู‡ูˆ
1432
+
1433
+ 359
1434
+ 00:30:07,280 --> 00:30:10,700
1435
+ ุนู„ู‰ ุงู„ุฃู‚ุตุงุก ุฃู† ูŠุนุฑูู‡ุง ู„ูƒูŠ ูŠุณุงุนุฏ ุงู„ู…ู†ุธู…ุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู…
1436
+
1437
+ 360
1438
+ 00:30:10,700 --> 00:30:15,440
1439
+ ุจุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ูˆุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน ููŠ ุฅุฌุจุงุก ุงุญุชูŠุงุฌุงุช
1440
+
1441
+ 361
1442
+ 00:30:15,440 --> 00:30:22,140
1443
+ ุงู„ู…ุฌุชู…ุน ูˆุญู„ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ู‡ู†ุง ุฃูŠุถู‹ุง double ูŠุนู†ูŠ
1444
+
1445
+ 362
1446
+ 00:30:22,140 --> 00:30:26,940
1447
+ ููŠ ู…ุฌุงู„ุงุช ู…ุนูŠู†ุฉ ุงู„ูƒู„ุงู… ู‡ุฐุง ุงู„ู„ูŠ ุงุญู†ุง ู‚ู„ู†ุงู‡ ุงู„ุณุงุจู‚
1448
+
1449
+ 363
1450
+ 00:30:26,940 --> 00:30:30,940
1451
+ ู‡ุฐุง ูƒู„ู‡ ููŠ ุฅุทุงุฑ ู…ุฌุงู„ุงุช ู…ุนูŠู†ุฉ ุนู†ุฏ ุชุฌู…ูŠุน ุงู„ู…ุนู„ูˆู…ุงุช
1452
+
1453
+ 364
1454
+ 00:30:31,090 --> 00:30:35,890
1455
+ ูˆุงู„ุฃุฑุงุก ูˆุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชุงุญุฉ ุญูˆู„ ู…ูˆุถูˆุน ู…ุนูŠู†ุŒ ุฃูŠุถู‹ุง
1456
+
1457
+ 365
1458
+ 00:30:35,890 --> 00:30:40,930
1459
+ ุนู†ุฏ ู…ู†ุงู‚ุดุฉ ููˆุงุฆุฏ ูˆู…ุถุงุฑุจ ุงู„ู…ุนู„ูˆู…ุฉ ุฃูˆ ุจูŠุงู† ูˆุงุถุญ ุฃูˆ
1460
+
1461
+ 366
1462
+ 00:30:40,930 --> 00:30:46,110
1463
+ ุฑุฃูŠุŒ ุญูŠุซ ูŠู‚ูˆู… ุจุชุฎุฐูŠุฉ ู…ุชุฎุฐูŠุฉ ุงู„ู‚ุฑุงุฑุงุช ุจุชุญุตูŠู„ู‡ ุฃูˆ
1464
+
1465
+ 367
1466
+ 00:30:46,110 --> 00:30:51,150
1467
+ ุจุญุตูŠู„ุฉ ู…ุชุฑูˆุณุฉ ู…ู† ุงู„ุฎูŠุงุฑุงุช ู…ู…ุง ูŠุณู‡ู„ ุงุชุฎุงุฐ ุงู„ู‚ุฑุงุฑ
1468
+
1469
+ 368
1470
+ 00:30:51,150 --> 00:30:56,760
1471
+ ุงู„ู…ู†ุงุณุจ ู„ุตุงู„ุญ ู…ูŠู†ูƒู…ุฌุชู…ุน ูˆุงู„ู…ุฌุชู…ุน ูƒุฐู„ูƒ ุฅู„ู‰ ู‡ู†ุง
1472
+
1473
+ 369
1474
+ 00:30:56,760 --> 00:31:01,460
1475
+ ู†ูƒุชููŠ ูˆุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…๏ฟฝ๏ฟฝ ู„ูƒูˆู† ู…ู†ูŠ ูƒู„
1476
+
1477
+ 370
1478
+ 00:31:01,460 --> 00:31:06,560
1479
+ ุชุญูŠุฉ ูˆ ุชู‚ุฏูŠุฑ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1480
+
PL9fwy3NUQKwaKyeI5iiPpebyFXxlPBffV/f9sXapLnL_I_raw.srt ADDED
@@ -0,0 +1,1480 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,700 --> 00:00:24,260
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:24,260 --> 00:00:28,320
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฃุดุฑู ุงู„ู…ุฑุณู„ูŠู† ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ู‰
8
+
9
+ 3
10
+ 00:00:28,320 --> 00:00:33,520
11
+ ุขู„ู‡ ูˆุตุญุจู‡ ุฃุฌู…ุนูŠู† ุจู†ุงุช ุงู„ุทุงู„ุจุงุช ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
12
+
13
+ 4
14
+ 00:00:33,520 --> 00:00:43,110
15
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุชุญุฏุซู†ุง ุนู† ู…ูู‡ูˆู…ุนู†
16
+
17
+ 5
18
+ 00:00:43,110 --> 00:00:48,130
19
+ ุฏุนุงุฆู… ุงู„ู…ุฌุชู…ุน ูˆู…ู† ุซู… ุฃูŠุถุง ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ
20
+
21
+ 6
22
+ 00:00:48,130 --> 00:00:56,810
23
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุชุญุฏุซู†ุง ุนู† ุงู„ุฌุฒุก ุงู„ุฃูˆู„ ูˆู‡ูˆ ู…ูู‡ูˆู…
24
+
25
+ 7
26
+ 00:00:56,810 --> 00:01:02,790
27
+ ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠ ูˆุงุชุนุฑูู†ุง ุนู„ู‰ ุงู„ู†ุณู‚ ุงู„ุงุฌุชู…ุงุนูŠ
28
+
29
+ 8
30
+ 00:01:02,790 --> 00:01:08,550
31
+ ู„ู„ู…ุฌุชู…ุน ูˆู„ู…ู†ุธู…ุฉุจุงุนุชุจุงุฑ ุฃู† ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุทุฑูŠู‚
32
+
33
+ 9
34
+ 00:01:08,550 --> 00:01:12,670
35
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠ ูŠุนู†ูŠ ูƒ system ุงุฌุชู…ุงุนูŠ
36
+
37
+ 10
38
+ 00:01:12,670 --> 00:01:19,670
39
+ ูŠุนู†ูŠ ูƒู†ุธุงู… ุงุฌุชู…ุงุนูŠ ุงูˆ ูƒู…ู†ุธู…ุฉ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน
40
+
41
+ 11
42
+ 00:01:19,670 --> 00:01:27,320
43
+ ูˆุฃูŠุถุง ุชูƒู„ู…ู†ุง ุนู† ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒู†ุณู‚ ุงุฌุชู…ุงุนูŠูˆ .. ุงูˆ
44
+
45
+ 12
46
+ 00:01:27,320 --> 00:01:31,660
47
+ ูƒู†ุธุงู… ุงุฌุชู…ุงุนูŠ ูˆ ุชุญุฏุซู†ุง ุนู† ุจุนุถ ุงู„ุฃู†ุธู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
48
+
49
+ 13
50
+ 00:01:31,660 --> 00:01:38,620
51
+ ุจุงุนุชุจุงุฑ ุงู† ูƒู„ ู†ุณู‚ ุงุฌุชู…ุงุนูŠ ู„ู‡ ุนุงู… ู„ู‡ ุฃู†ุณู‚ุฉ ูุฑุนูŠุฉ ูˆ
52
+
53
+ 14
54
+ 00:01:38,620 --> 00:01:43,240
55
+ ุชุญุฏุซู†ุง ุนู† ุงู„ู†ุณู‚ ุงู„ุชุนู„ูŠู…ูŠ ูˆ ู‚ู„ู†ุง ุงู„ู†ุณู‚ ุงู„ุชุนู„ูŠู…ูŠ
56
+
57
+ 15
58
+ 00:01:43,240 --> 00:01:48,320
59
+ ุจุงุนุชุจุงุฑู‡ ู†ุณู‚ ูƒู„ู‡ ู„ู‡ ุฃู†ุณู‚ุฉ ูุฑุนูŠุฉ ู…ุซู„ ู…ุงุฐุงุŸ ุงูˆ ุฃู†ุธู…ุฉ
60
+
61
+ 16
62
+ 00:01:48,320 --> 00:01:52,500
63
+ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุงู…ุชุญุงู†ุงุช ู…ุซู„ ูˆุฌูˆุฏ ุงู„ุทุงู„ุจ ู…ุซู„ ุงู„ู…ุนู„ู…
64
+
65
+ 17
66
+ 00:01:52,500 --> 00:01:56,440
67
+ ู…ุซู„ ุจุตูŠุฑุฉ ุงู„ุฅุถุงุก ู…ุซู„ ุงู„ู…ู†ู‡ุฌู…ุซู„ ุงู„ุงุจุชุญุงู†ุงุช ุฅู„ู‰ ุบูŠุฑ
68
+
69
+ 18
70
+ 00:01:56,440 --> 00:02:02,700
71
+ ุฐู„ูƒ ู…ู† ุงู„ุฃู†ุธู…ุฉ ุฃูˆ ุงู„ุฃู†ุณุงู‚ ุงู„ูุฑุนูŠุฉ ูุฃูŠุถุง ุงู„ุฃุณุฑูŠ
72
+
73
+ 19
74
+ 00:02:02,700 --> 00:02:06,780
75
+ ุงู„ู†ุธุงู… ุงู„ุฃุณุฑูŠ ูƒุฐู„ูƒ ู†ุธุงู… ุฃุณุฑูŠ ุนุงู… ุฃูˆ ู†ุณู‚ ุฃุณุฑูŠ ุนุงู…
76
+
77
+ 20
78
+ 00:02:06,780 --> 00:02:12,400
79
+ ู„ู‡ ุฃูŠุถุง ูŠุนู†ูŠ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุฎุทุจุฉ ู…ุซู„ ุงู„ุฒูˆุงุฌ ู…ุซู„
80
+
81
+ 21
82
+ 00:02:12,400 --> 00:02:17,680
83
+ ุงู„ุทู„ุงู‚ ู…ุซู„ ุงู„ู…ูˆุงุฑูŠุซ ูˆ ู‡ูƒุฐุง ู‡ุฐู‡ ูƒู„ู‡ุง ูŠุนู†ูŠ ุฃู†ุณู‚ุฉ
84
+
85
+ 22
86
+ 00:02:17,680 --> 00:02:24,480
87
+ ูุฑุนูŠุฉ ู„ู„ู†ุธุงู… ุงู„ุฃุณุฑูŠูˆ ูƒุฐู„ูƒ ุงู„ู†ุธุงู… ุงู„ุงู‚ุชุตุงุฏูŠ ูƒู†ุธุงู…
88
+
89
+ 23
90
+ 00:02:24,480 --> 00:02:32,060
91
+ ูƒู„ู‡ ู„ู‡ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู…ุซู„ ุงู„ุงู†ุชุงุฌ ุงู„ุชุณุนูŠุฑ ุงูˆ ุงู„ุชุฑูˆูŠุฌ
92
+
93
+ 24
94
+ 00:02:32,060 --> 00:02:38,720
95
+ ูˆ ุงูŠุถุง ุงู„ุชุณูˆูŠู‚ ู„ู„ุณู„ุน ูˆ ุงูŠุถุง ุงู„ุงุณุนุงุฑ ุงู„ุณุนุฑ ุงู„ุณู„ุนุฉ
96
+
97
+ 25
98
+ 00:02:38,720 --> 00:02:44,000
99
+ ู‡ุฐู‡ ูƒู„ู‡ุง ุงูŠุถุง ุฃู†ุธู…ุฉ ูุฑุนูŠุฉ ู„ู„ู†ุณู‚ ุงู„ูƒู„ูŠ ูˆู‡ูˆ ุงู„ู†ุธุงู…
100
+
101
+ 26
102
+ 00:02:44,000 --> 00:02:50,080
103
+ ุงู„ุงู‚ุชุตุงุฏูŠ ูˆู‡ูƒุฐุง ูƒู„ ู†ุธุงู… ูƒู„ู‡ ุงูˆ ูƒู„ ู†ุณู‚ ูƒู„ู‡ ู„ู‡ ุฃู†ุณุงู‚
104
+
105
+ 27
106
+ 00:02:50,080 --> 00:02:56,830
107
+ ุงูˆ ุฃู†ุธู…ุฉ ูุฑุนูŠุฉูˆู‡ูƒุฐุง ุจุงุนุชุจุงุฑ ุงู† ุงู„ู…ู†ุธู…ุฉูƒู…ุฌุชู…ุน ูƒู†ุณู‚
108
+
109
+ 28
110
+ 00:02:56,830 --> 00:03:02,630
111
+ ุงุฌุชู…ุงุนูŠ ูˆุชูƒู„ู…ู†ุง ุงูŠุถุง ุนู† ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงูˆ ุงู„ุญูŠ
112
+
113
+ 29
114
+ 00:03:02,630 --> 00:03:08,470
115
+ ูŠุนุชุจุฑ ูŠุนู†ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ูƒุจูŠุฑ ุซู…
116
+
117
+ 30
118
+ 00:03:08,470 --> 00:03:13,610
119
+ ุงู„ู…ุฌุชู…ุน ุงู„ู‚ูˆู…ูŠ ุซู… ุงู„ู…ุฌุชู…ุน ุงู„ุฏูˆู„ูŠ ู‡ุฐู‡ ูƒู„ู‡ุง ูŠุนู†ูŠ
120
+
121
+ 31
122
+ 00:03:13,610 --> 00:03:19,330
123
+ ุฃู†ุณุงุก ูุฑุนูŠุฉ ููŠ ุงุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ูƒู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฏูˆู„ูŠ ูˆ
124
+
125
+ 32
126
+ 00:03:19,330 --> 00:03:26,220
127
+ ู‡ูƒุฐุง ู†ุจุฏุฃ ุจุงู„ุตุบูŠุฑ ุซู… ุงู„ูƒุจูŠุฑุฃูŠุถุง ุงู„ูŠูˆู… ุณู†ูƒู…ู„ ูˆ
128
+
129
+ 33
130
+ 00:03:26,220 --> 00:03:32,260
131
+ ุชูƒู„ู…ู†ุง ุฃูŠุถุง ุนู† ุงู„ู…ุชุทู„ุจุงุช ุงู„ู„ุงุฒู…ุฉ ู„ู„ู†ุธุงู… ุญุชู‰ ูŠุณุชู…ุฑ
132
+
133
+ 34
134
+ 00:03:32,260 --> 00:03:38,580
135
+ ุฃูˆ ุงู„ู…ุฑุธู…ุฉ ุญุชู‰ ุชุณุชู…ุฑ ูˆ ุฃูŠุถุง ูˆุตู„ู†ุง ุฃุฎูŠุฑุง ุฅู„ู‰ ุงู„ ..
136
+
137
+ 35
138
+ 00:03:40,010 --> 00:03:45,390
139
+ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ process
140
+
141
+ 36
142
+ 00:03:45,390 --> 00:03:50,650
143
+ ูƒุนู…ู„ูŠุฉ ูˆู‡ุฐุง ู…ุง ุณู†ุดุฑุญู‡ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ูˆุบูŠุฑู‡ ู…ู†
144
+
145
+ 37
146
+ 00:03:50,650 --> 00:03:57,300
147
+ ู…ูุงู‡ูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ
148
+
149
+ 38
150
+ 00:03:57,300 --> 00:04:02,760
151
+ ูŠุนู†ูŠ ุจุฏู†ุง ู†ุงุฎุฏู‡ ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
152
+
153
+ 39
154
+ 00:04:02,760 --> 00:04:07,660
155
+ ูˆูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูู„ุฐู„ูƒ ู‡ู†ุง ุงุญู†ุง ุจู†ุชุนุงู…ู„
156
+
157
+ 40
158
+ 00:04:07,660 --> 00:04:13,320
159
+ ุฏุงุฆู…ุง ูƒุนู…ู„ูŠุฉ process ูŠุนู†ูŠ ููŠู‡ ุชูุงุนู„ ูู„ุฐู„ูƒ ู…ุนู†ู‰
160
+
161
+ 41
162
+ 00:04:13,320 --> 00:04:18,660
163
+ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ูŠุนู†ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช
164
+
165
+ 42
166
+ 00:04:19,600 --> 00:04:25,340
167
+ ุชุนู„ูŠู…ูŠุฉุŒ ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช ูˆุฎุจุฑุงุช ุชุนู„ูŠู…ูŠุฉ ุทุจุนุง ู…ู…ูƒู†
168
+
169
+ 43
170
+ 00:04:25,340 --> 00:04:30,000
171
+ ูŠูƒุชุณุจู‡ุง ุงู„ู†ุงุณ ูˆ ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ู‡ุงุฑุงุช
172
+
173
+ 44
174
+ 00:04:30,000 --> 00:04:32,140
175
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู„ูŠ ุจุชู…ูƒู†
176
+
177
+ 45
178
+ 00:04:34,820 --> 00:04:40,140
179
+ ุงู„ู…ู†ุธู… ุงู„ู„ู‰ ุจุชู…ูƒู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนู‰ ู…ู† ู…ูˆุงุฌู‡ุฉ
180
+
181
+ 46
182
+ 00:04:40,140 --> 00:04:44,440
183
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ูุฅุฐุง ุงู„ู…ู†ุธู… ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน
184
+
185
+ 47
186
+ 00:04:44,440 --> 00:04:50,680
187
+ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ูŠุนู†ูŠ ูƒุฎุจุฑุงุช ุนู…ู„ูŠุฉ ูˆ ุชุนู„ูŠู…ูŠุฉ ูˆ ุฃูŠุถุง
188
+
189
+ 48
190
+ 00:04:50,680 --> 00:04:55,640
191
+ ู…ู‡ุงุฑุงุช ุงุฌุชู…ุงุนูŠุฉ ู‡ุฐู‡ ูƒู„ู‡ุง ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช
192
+
193
+ 49
194
+ 00:04:55,640 --> 00:04:58,540
195
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู„ุฐู„ูƒ
196
+
197
+ 50
198
+ 00:05:00,120 --> 00:05:04,500
199
+ ุงู„ู…ูู‡ูˆู… ุงู„ุฃูˆู„ ู…ู† ุฃุดุงุฑ ุฅู„ู‰ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ู‡ูˆ ุฑูุณ
200
+
201
+ 51
202
+ 00:05:04,500 --> 00:05:08,120
203
+ ูู…ูู‡ูˆู…
204
+
205
+ 52
206
+ 00:05:08,120 --> 00:05:12,020
207
+ ุงู„ุนู…ู„ูŠุฉ ู‡ู†ุง ู„ู„ุฏู„ุงู„ุฉ ุนู„ู‰ ู‚ูŠุงู… ุงู„ู…ุฌุชู…ุน ุจุชุญุฏูŠุฏ
208
+
209
+ 53
210
+ 00:05:12,020 --> 00:05:17,580
211
+ ู…ุดูƒู„ุงุชู‡ ุซู… ุงู„ู‚ูŠุงู… ุจุฅุฌุฑุงุก ุงู„ู…ูˆุงุฌู‡ุฉ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ
212
+
213
+ 54
214
+ 00:05:18,480 --> 00:05:23,900
215
+ ุทุจุนุงู‹ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ุจุฅู†ู‡ ุจุชุถู…ู† ุฎุจุฑุงุช ุจู…ุฑ
216
+
217
+ 55
218
+ 00:05:23,900 --> 00:05:28,280
219
+ ุจูŠู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูˆู„ูŠุณ ุฎุจุฑุงุช ูู‚ุท ุจู„ ูˆู…ู‡ุงุฑุงุช ุงูŠุถุง
220
+
221
+ 56
222
+ 00:05:28,280 --> 00:05:33,400
223
+ ูˆู…ู‡ุงุฑุงุช ุงุฌุชู…ุงุนูŠุฉ ูŠุนู†ูŠ ุจู…ุฑ ุจูŠู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง
224
+
225
+ 57
226
+ 00:05:33,400 --> 00:05:37,900
227
+ ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุฎุจุฑุงุช ูˆุงู„ู…ู‡ุงุฑุงุช ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช
228
+
229
+ 58
230
+ 00:05:37,900 --> 00:05:43,000
231
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ุชูŠ ูŠูˆุงุฌู‡ู‡ุง ุงู„ู…ุฌุชู…ุน ูˆู†ุนู…ู„ ุนู„ู‰ ุญู„ ู‡ุฐู‡
232
+
233
+ 59
234
+ 00:05:43,000 --> 00:05:47,400
235
+ ุงู„ู…ุดูƒู„ุงุช ูˆุจุนุฏ ุฐู„ูƒ ูŠุชุญู‚ู‚ ุงู„ุชุนุงูˆู† ุจูŠู† ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
236
+
237
+ 60
238
+ 00:05:50,510 --> 00:05:57,770
239
+ ุฃูŠุถู‹ุง ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ู‡ูˆ ุจู…ุซุงุจุฉ ุงู„ุชุนู„ู… ูˆุงูƒุชุณุงุจ ุงู„ู„ูŠ
240
+
241
+ 61
242
+ 00:05:57,770 --> 00:06:02,270
243
+ ู‡ูŠ ุงู„ุชุนู„ู… ู…ู† ุฎู„ุงู„ ุงู„ู…ู…ุงุฑุณุฉ ุงู„ุนู…ู„ูŠุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน
244
+
245
+ 62
246
+ 00:06:02,270 --> 00:06:06,710
247
+ ูˆุงูƒุชุณุงุจ ุงู„ู…ู‡ุงุฑุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุฎุชู„ูุฉ ู„ู…ูˆุงุฌู‡ุฉ
248
+
249
+ 63
250
+ 00:06:06,710 --> 00:06:07,650
251
+ ุงู„ู…ุดูƒู„ุฉ
252
+
253
+ 64
254
+ 00:06:13,190 --> 00:06:17,730
255
+ ุทุจุนุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุณุงุนุฏ ุงู„ู…ุฌุชู…ุน ุนู„ู‰
256
+
257
+ 65
258
+ 00:06:17,730 --> 00:06:26,030
259
+ ุชู‚ูˆูŠุชู‡ ุจู…ู‚ูˆู…ุงุชู‡ ูˆุฏุนุงุฆู…ู‡ ุงู„ู…ุนุฑูˆูุฉ ุทุจุนุง ุฅุฐุง ู…ุง ุนู…ู„
260
+
261
+ 66
262
+ 00:06:26,030 --> 00:06:30,850
263
+ ุนู„ู‰ ู…ุดุงุฑูƒุฉ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู‡ู†ุงูƒ ุนู„ุงู‚ุฉ ุจูŠู†
264
+
265
+ 67
266
+ 00:06:30,850 --> 00:06:36,030
267
+ ุงู„ู…ุดุงุฑูƒุฉ ูˆ ุจูŠู† ุชูุงุนู„ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูƒู„ู…ุง ูƒุงู†ุช ูˆ ู‡ู†ุงูƒ
268
+
269
+ 68
270
+ 00:06:36,030 --> 00:06:41,450
271
+ ุฃูŠุถุง ุนู„ุงู‚ุฉ ู…ุง ุจูŠู† ุงู„ุงู†ุชู…ุงุกูˆุงู„ู…ุดุงุฑูƒุฉ ูู„ุฐู„ูƒ ุญุชู‰ ุชุญุฏุซ
272
+
273
+ 69
274
+ 00:06:41,450 --> 00:06:45,270
275
+ ุนู…ู„ูŠุฉ ุงู„ุชูุงุนู„ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุจุงุนุชุจุงุฑ ุงู„ู…ุฌุชู…ุน ุนู…ู„ูŠุฉ
276
+
277
+ 70
278
+ 00:06:45,270 --> 00:06:49,010
279
+ ู„ุงุจุฏ ู…ู† ุงู„ุงู†ุชู…ุงุก ู…ูˆุฌูˆุฏ ุงู„ุงู†ุชู…ุงุก ุงู„ู‰ ุงู„ู…ุฌุชู…ุน
280
+
281
+ 71
282
+ 00:06:49,010 --> 00:06:53,390
283
+ ูˆุงู„ุงู†ุชู…ุงุก ูŠุนู†ูŠ ุจูŠุฌุนู„ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูŠุฒุฏุงุฏูˆู† ููŠ
284
+
285
+ 72
286
+ 00:06:53,390 --> 00:06:58,290
287
+ ุงู„ู…ุดุงุฑูƒุฉ ููŠ ู…ุนุฑูุฉ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูˆููŠ ุฃูŠุถุง ูƒูŠููŠุฉ
288
+
289
+ 73
290
+ 00:06:58,290 --> 00:07:04,860
291
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ูˆุงุถุญุŸูุงู„ู…ุดุงุฑูƒุฉ .. ูุงู„ุงู†ุชู…ุงุก ู…ู‡ู…
292
+
293
+ 74
294
+ 00:07:04,860 --> 00:07:08,600
295
+ ุฌุฏุง ู„ุฃู† ุงู„ู…ู†ุชู…ุงุก ู‡ูˆ ุงู„ู„ูŠ ุจูŠุณุจุจ ู„ู†ุง ุงู„ู…ุดุงุฑูƒุฉ ุฃูˆ
296
+
297
+ 75
298
+ 00:07:08,600 --> 00:07:12,660
299
+ ุจูŠุญุฏุซ ู„ู†ุง ุงู„ู…ุดุงุฑูƒุฉ ู…ู† ู‚ุจู„ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู…ุดุงุฑูƒุฉ ููŠ
300
+
301
+ 76
302
+ 00:07:12,660 --> 00:07:17,720
303
+ ู…ุนุฑูุฉ ุงู„ู…ุดูƒู„ุงุช ูˆุญู„ ุงู„ู…ุดูƒู„ุงุช ูˆุงุถุญุŸ ูˆู‡ู†ุง ุจุชุฒุงุฏ ..
304
+
305
+ 77
306
+ 00:07:17,720 --> 00:07:21,800
307
+ ุจุชุฒุงุฏ ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ process ุงู„ู„ูŠ ู‡ูŠ ุงู† ุงู„ู…ุฌุชู…ุน
308
+
309
+ 78
310
+ 00:07:21,800 --> 00:07:26,700
311
+ ูƒุนู…ู„ูŠุฉ ู„ุฅู† ุจูŠุญุฏุซ ุชูุงุนู„ ูˆุงุถุญุŸ ูˆุชุจุงุฏู„ ุฎุจุฑุงุช ูˆู…ู‡ุงุฑุงุช
312
+
313
+ 79
314
+ 00:07:26,700 --> 00:07:31,840
315
+ ุจูŠู† ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู„ู…ุณุงุนุฏุชู‡ู… ุนู„ู‰ ุญู„ ู…ุดูƒู„ุงุชู‡ู…
316
+
317
+ 80
318
+ 00:07:34,270 --> 00:07:41,450
319
+ ุชุนุงู…ู„ ู…ุน ุงู„ู…ุดูƒู„ุงุช ุทุจุนุง ุชุชูˆู‚ู
320
+
321
+ 81
322
+ 00:07:41,450 --> 00:07:45,670
323
+ ุนู„ู‰ ู…ู‚ุฏุฑุฉ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุชู†ุธูŠู… ู†ูุณู‡ ู‡ู„ ุนู†ุฏู‡ ู…ู‚ุฏุฑุฉ ุนู„ู‰
324
+
325
+ 82
326
+ 00:07:45,670 --> 00:07:51,850
327
+ ุงู„ุชู†ุธูŠู…ุŸ ูƒู„ู…ุง ูƒุงู† ุงู„ู…ุฌุชู…ุน ู‚ุงุฏุฑุง ุนู„ู‰ ุชู†ุธูŠู… ู†ูุณู‡ ู‡ู†ุง
328
+
329
+ 83
330
+ 00:07:51,850 --> 00:07:56,750
331
+ ุจูŠูƒูˆู† ู‚ุงุฏุฑุง ุนู„ู‰ ู…ุนุฑูุฉ ู…ุดูƒู„ุงุชู‡ ูˆุฃูŠุถุง ู…ู…ูƒู† ุงู„ู…ู†ุธู…
332
+
333
+ 84
334
+ 00:07:56,750 --> 00:08:01,250
335
+ ูŠุณุงุนุฏู‡ ุนู„ู‰ ุฐู„ูƒ ุนู„ู‰ ู…ุนุฑูุฉ ุงู„ู…ุดูƒู„ุงุช ูˆุนู„ู‰ ูƒูŠููŠุฉ
336
+
337
+ 85
338
+ 00:08:01,250 --> 00:08:08,310
339
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุชูˆุงุถุญุŸ ุฃูŠุถู‹ุง ู…ุณุงุนุฏุฉ ุงู„ู…ุฌุชู…ุน
340
+
341
+ 86
342
+ 00:08:08,310 --> 00:08:11,830
343
+ ุจุงู„ู†ุณุจุฉ ู„ุนู†ุงุตุฑ ุงู„ู…ุฌุชู…ุน ูƒุนู…ู„ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ุณุงุนุฏุฉ
344
+
345
+ 87
346
+ 00:08:11,830 --> 00:08:15,270
347
+ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุฅุญุฏุงุซ ุงู„ุชูƒุงู…ู„ุŒ ุงู„ุชูƒุงู…ู„ ุจูŠู† ูˆุญุฏุงุชู‡
348
+
349
+ 88
350
+ 00:08:15,270 --> 00:08:19,190
351
+ ุงู„ู…ูƒูˆู†ุฉ ู„ู‡ ุงู„ู…ุฌุชู…ุน ูˆุฒูŠุงุฏุฉ ุงู„ุชุฑุงุจุท ุจูŠู†ู‡ ูˆุจูŠู†
352
+
353
+ 89
354
+ 00:08:19,190 --> 00:08:25,410
355
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญูŠุท ุจู‡ุŒ ุฃูŠุถู‹ุง ุชูˆูุฑ ุงู„ุฅุญุณุงุณ ุจุงู„ุงู†ุชู…ุงู…ูˆ
356
+
357
+ 90
358
+ 00:08:25,410 --> 00:08:29,710
359
+ ู‡ู†ุง ุทุจุนุง ู†ุนู…ู„ ุนู„ู‰ ุฒูŠุงุฏุฉ ุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ู„ุฃู†
360
+
361
+ 91
362
+ 00:08:29,710 --> 00:08:35,470
363
+ ุจุงู„ู†ุณุจุฉ ู„ุฒูŠุงุฏุฉ ุงู„ุงู†ุชู…ุงุก ุชุนู…ู„ ุนู„ู‰ ุฒูŠุงุฏุฉ ุงู„ู…ุดุงุฑูƒุฉ ูˆ
364
+
365
+ 92
366
+ 00:08:35,470 --> 00:08:41,390
367
+ ุฒูŠุงุฏุฉ ุงู„ุชูุงุนู„ ุงู„ุงุฌุชู…ุงุนูŠ ู…ุน ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ
368
+
369
+ 93
370
+ 00:08:41,390 --> 00:08:44,850
371
+ ุงู„ู…ุดูƒู„ุงุช ูˆุชุญู‚ูŠู‚ ุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน
372
+
373
+ 94
374
+ 00:08:49,440 --> 00:08:55,220
375
+ ู†ูƒูˆู† ุจุฐู„ูƒ ุงู†ุชู‡ูŠู†ุง ู…ู† ุงู„ู…ุฌุชู…ุน ูƒ process ูŠุนู†ูŠ ูƒุนู…ู„ูŠุฉ
376
+
377
+ 95
378
+ 00:08:55,220 --> 00:09:01,120
379
+ ู†ู†ุชู‚ู„ ุงู„ุขู† ุฅู„ู‰ ุงู„ู…ูู‡ูˆู… ุงู„ุขุฎุฑ ู„ู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ
380
+
381
+ 96
382
+ 00:09:01,120 --> 00:09:04,960
383
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูˆุงู„ู…ุฌุชู…ุน
384
+
385
+ 97
386
+ 00:09:04,960 --> 00:09:09,020
387
+ ุงู„ุฌุบุฑุงููŠ ุจุฏู†ุง ู†ุนุฑู ุฅูŠุด ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆู…ุง ู‡ูˆ
388
+
389
+ 98
390
+ 00:09:09,020 --> 00:09:14,300
391
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ููŠ ุฃูŠ ุทุงู„ุจุฉ ุจุชุนุฑู ุฅูŠุด ู‡ูˆ ุงู„ู…ุฌุชู…ุน
392
+
393
+ 99
394
+ 00:09:14,300 --> 00:09:18,280
395
+ ูˆู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ู†ุนู… ูŠุง ุจู†ุชูŠู‡ูˆ ู…ูˆู‚ูุฉ
396
+
397
+ 100
398
+ 00:09:18,280 --> 00:09:22,180
399
+ ุฌุบุฑุงููŠุฉ ู…ุนูŠู†ุฉุŒ ูุณุชูƒูˆู† ู‚ุฑูŠุฉ ุฃูˆ ู…ุฏูŠู†ุฉ ุฃูˆ ุจู„ุฏุฉ ุฃูˆ ุญูŠุฉ
400
+
401
+ 101
402
+ 00:09:22,180 --> 00:09:26,800
403
+ ุฃูˆ ู…ุคุชู…ุฑ ุฃูˆ ู‚ู„ูŠู„ ุฃูˆ ุฏูˆู„ุฉุŸ ู†ุนู…ุŒ ุฅุฐุง ู‡ู†ุง ู…ุญุฏุฏ ุจุญุฏูˆุฏ
404
+
405
+ 102
406
+ 00:09:26,800 --> 00:09:31,300
407
+ ุฌุบุฑุงููŠุฉ ู…ู† ุฎู„ุงู„ ุงู„ุฅุณู…ุŒ ูˆู„ุฐู„ูƒ ุจู†ู‚ูˆู„ ู…ุฌุชู…ุน ุฌุบุฑุงููŠุŒ
408
+
409
+ 103
410
+ 00:09:31,300 --> 00:09:36,610
411
+ ุฅุฐุง ู„ู‡ ุญุฏูˆุฏ ุฌุบุฑุงููŠุฉูˆุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ู‚ุฏ ุชูƒูˆู† ู„ุญูŠุŒ
412
+
413
+ 104
414
+ 00:09:36,610 --> 00:09:43,230
415
+ ู‚ุฏ ุชูƒูˆู† ู„ู‚ุฑูŠุฉุŒ ู‚ุฏ ุชูƒูˆู† ู„ู…ุฏูŠู†ุฉุŒ ู‚ุฏ ุชูƒูˆู† ู„ู…ุฌุชู…ุน ูƒูƒู„
416
+
417
+ 105
418
+ 00:09:43,230 --> 00:09:47,710
419
+ ูŠุนู†ูŠ ู…ุญุงูุธุฉ ุฃูˆ ุฏูˆู„ุฉุŒ ู…ุฌุชู…ุน ู‚ูˆู…ูŠ ุฃูˆ ุฃูŠุถู‹ุง ู…ู…ูƒู† ูŠูƒูˆู†
420
+
421
+ 106
422
+ 00:09:47,710 --> 00:09:52,390
423
+ ู„ู‚ุงุฑุฉุŒ ุนุฏุฏ ู…ู† ุงู„ุฏูˆู„ ุฃูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู…ุฌุชู…ุน ุงู„ุนุงู„ู…ูŠ
424
+
425
+ 107
426
+ 00:09:52,390 --> 00:09:57,590
427
+ ุงู„ู„ูŠ ุจูŠุดู…ู„ ุงู„ูƒุฑุฉ ุงู„ุฃุฑุถูŠุฉ ูƒูƒู„ุŒ ุจุญุฏูˆุฏู‡ุง ูƒูƒู„ุŒ ูˆุงุถุญุŸ
428
+
429
+ 108
430
+ 00:09:57,590 --> 00:10:01,710
431
+ ุฅุฐู† ู‡ุฐุง ู‡ูˆ ุงู„ู…ูู‡ูˆู… ุงู„ุฌุบุฑุงููŠ ู„ู„ู…ุฌุชู…ุนุŒ ุงู„ู…ุญุฏุฏ
432
+
433
+ 109
434
+ 00:10:01,710 --> 00:10:07,810
435
+ ุจุงู„ุญุฏูˆุฏูˆุงู„ู…ุณู…ูŠุงุช ูƒู…ุง ุฐูƒุฑู†ุงู‡ุง ู…ุณู…ูŠุงุช ุฃุญูŠุงุกุŒ ู…ุฏู†ุŒ
436
+
437
+ 110
438
+ 00:10:07,810 --> 00:10:14,550
439
+ ู‚ุฑู‰ุŒ ุฏูˆู„ ูˆู‡ูƒุฐุงุŒ ูˆุงุถุญุŸ ูู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุฏุงุฆู…ุง ุงู„ู…ุญุฏุฏ
440
+
441
+ 111
442
+ 00:10:14,550 --> 00:10:20,580
443
+ ุจุญุฏูˆุฏ ุฌุบุฑุงููŠุฉุทุจุนุงู‹ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฌุบุฑุงููŠุฉ ู‡ู†ุง ุฏุงุฆู…ุง ุฃูŠ
444
+
445
+ 112
446
+ 00:10:20,580 --> 00:10:25,580
447
+ ู…ุฌุชู…ุน ูˆุงุญู†ุง ุฎุงุตุฉ ู…ู† ุฎู„ุงู„ ู…ูู‡ูˆู… ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
448
+
449
+ 113
450
+ 00:10:25,580 --> 00:10:29,260
451
+ ุงุณู…ู‡ Community Organization ูŠุนู†ูŠ ุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน
452
+
453
+ 114
454
+ 00:10:29,260 --> 00:10:32,260
455
+ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ ุงู„ุตุบูŠุฑุฉ ูุงุญู†ุง ุจู†ุฑูƒุฒ ุนู„ู‰
456
+
457
+ 115
458
+ 00:10:32,260 --> 00:10:36,480
459
+ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ ู„ุฃู†ู‡ ู„ู†ุง ุฏูˆุฑ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
460
+
461
+ 116
462
+ 00:10:36,480 --> 00:10:40,360
463
+ ููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ู…ุญู„ูŠุฉ
464
+
465
+ 117
466
+ 00:10:40,360 --> 00:10:44,220
467
+ ุงู„ุตุบูŠุฑุฉ ุฃูˆู„ ู…ุง ุธู‡ุฑ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนู„ู„ุชุนุงู…ู„ ู…ุน
468
+
469
+ 118
470
+ 00:10:44,220 --> 00:10:47,500
471
+ ู…ุซู„ ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ูˆู„ุฐู„ูƒ ุงุณู…ู‡ุง ุงู„ุนู„ู…ูŠ community
472
+
473
+ 119
474
+ 00:10:47,500 --> 00:10:51,420
475
+ community organization ูŠุนู†ูŠ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู„ูƒู†
476
+
477
+ 120
478
+ 00:10:51,420 --> 00:10:55,500
479
+ ุงู„ูŠูˆู… ุจุฏุฃุช ููŠ ุงู„ุนุตุฑ ุงู„ุญุงู„ูŠ ุฃู† ู†ุชุนุงู…ู„ ุฃูŠุถุง ู…ุด ุจุงู„
480
+
481
+ 121
482
+ 00:10:55,500 --> 00:10:59,180
483
+ community ู†ุชุนุงู…ู„ ุจุงู„ society ุฃูŠุถุง ุจุงู„ู…ุฌุชู…ุน ูƒูƒู„
484
+
485
+ 122
486
+ 00:10:59,180 --> 00:11:04,540
487
+ ูˆุงู„ู…ุฌุชู…ุน ูƒุจูŠุฑ ูˆุงุถุญุŸ ู„ูƒู† ุงุญู†ุง ุฏุงุฆู…ุง ุงู„ู…ุฌุชู…ุน
488
+
489
+ 123
490
+ 00:11:04,540 --> 00:11:09,640
491
+ ุงู„ุฌุบุฑุงููŠ ุงู„ู„ูŠ ุจู†ุชุนุงู…ู„ ู…ุนุงู‡ ู„ู‡ ุญุฏูˆุฏ ุฌุบุฑุงููŠุฉ ูˆุทุจุนุง
492
+
493
+ 124
494
+ 00:11:09,900 --> 00:11:14,080
495
+ ู‡ุฐู‡ ุงู„ุญุฏูˆุฏ ู…ุนุฑูˆูุฉ ุณูˆุงุก ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ ุฃูˆ ุนู„ู‰
496
+
497
+ 125
498
+ 00:11:14,080 --> 00:11:18,820
499
+ ุงู„ู…ุณุชูˆู‰ ุงู„ู‚ูˆู‰ ุทุจุนุง ุนู…ู„ ุงู„ู…ู†ุธู… ุจูŠูƒูˆู† ููŠ ุฅุทุงุฑ
500
+
501
+ 126
502
+ 00:11:18,820 --> 00:11:23,440
503
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุญุฏูˆุฏ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆูŠุชุนุงู…ู„ ู…ุน
504
+
505
+ 127
506
+ 00:11:23,440 --> 00:11:28,660
507
+ ูƒุงูุฉ ุงู„ูุฆุงุช ุงู„ูุฆุงุช ู„ู…ุง ู†ู‚ูˆู„ ูุฆุงุช ูŠุนู†ูŠ ูุฆุงุช ุงู„ุณูƒุงู†
508
+
509
+ 128
510
+ 00:11:28,660 --> 00:11:33,540
511
+ ุจู…ุฎุชู„ู ุฃู†ูˆุงุนุงู„ุฐูƒูˆุฑุŒ ุงู„ุฅู†ุงุซุŒ ุงู„ู…ุฑุฃุฉุŒ ุงู„ุฑุฌู„ุŒ
512
+
513
+ 129
514
+ 00:11:33,540 --> 00:11:39,080
515
+ ุงู„ุฃุทูุงู„ุŒ ุงู„ุดุจุงุจุŒ ุงู„ู…ุนุงู‚ูŠู†ุŒ ุงู„ู…ุณู†ูŠู† ูˆู‡ูƒุฐุง ุงู„ูุฆุงุช
516
+
517
+ 130
518
+ 00:11:39,080 --> 00:11:43,480
519
+ ูุฅุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุจูƒุงูุฉ ูุฆุงุชู‡ ู„ู…ุง ู†ู‚ูˆู„
520
+
521
+ 131
522
+ 00:11:43,480 --> 00:11:48,760
523
+ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ุฃูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃูŠุถุง ู„ูŠุณ ู…ู†
524
+
525
+ 132
526
+ 00:11:48,760 --> 00:11:53,900
527
+ ูุฆุงุชู‡ ุงู„ู…ูˆุฌูˆุฏุฉ ู„ุฃู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูŠูˆุฌุฏ ููŠู‡ ุฃูŠุถุง
528
+
529
+ 133
530
+ 00:11:53,900 --> 00:11:59,440
531
+ ู…ุงุฐุง ุบูŠุฑ ุงู„ูุฆุงุช ุงู„ู…ู†ุธู…ุงุช ุงู„ู…ุคุณุณุงุช ูŠุนู†ูŠุงู„ุงุฌุชู…ุงุนูŠุฉ
532
+
533
+ 134
534
+ 00:11:59,440 --> 00:12:03,380
535
+ ูˆุงู„ุงู‚ุชุตุงุฏูŠุฉ ู„ูƒู† ุงุญู†ุง ู†ุชุนุงู…ู„ ููŠ ุฅุทุงุฑ ุงู„ู…ุคุณุณุงุช
536
+
537
+ 135
538
+ 00:12:03,380 --> 00:12:06,940
539
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ูุงู„ู…ู†ุธู…ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูŠุถุง
540
+
541
+ 136
542
+ 00:12:06,940 --> 00:12:11,460
543
+ ุชุนุชุจุฑ ููŠ ุฅุทุงุฑ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ู„ู„ู…ุฌุชู…ุน ุงู„ุฐูŠ ู†ุชุนุงู…ู„
544
+
545
+ 137
546
+ 00:12:11,460 --> 00:12:16,640
547
+ ู…ุนู‡ ูุงู„ู…ู†ุธู… ูŠุชุนุงู…ู„ ู…ุน ุงู„ูุฆุงุช ูุฆุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฎุชู„ูุฉ
548
+
549
+ 138
550
+ 00:12:16,640 --> 00:12:21,800
551
+ ูˆูŠุชุนุงู…ู„ ู…ุน ุงู„ู…ู†ุธู…ุงุช ุฃูŠุถุง ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐุง ุงู„ู…ุฌุชู…ุน
552
+
553
+ 139
554
+ 00:12:21,800 --> 00:12:27,540
555
+ ูู‡ู…ู†ุง ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ุทูŠุจ ุงู„ุขู† ุจุฏู†ุง ู†ุนุฑู ุงู„ู…ุฌุชู…ุน
556
+
557
+ 140
558
+ 00:12:27,540 --> 00:12:32,160
559
+ ุงู„ูˆุธูŠูู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŸ ูŠุชุตู ุจูŠู‡ ุฌู…ุงุนุฉ ุฃูˆ
560
+
561
+ 141
562
+ 00:12:32,160 --> 00:12:36,240
563
+ ุฃูุฑุงุฏ ุฏู„ูŠู„ ู„ู‡ู… ู…ูŠูˆุฑ ูˆุงู‡ุชู…ุงู…ุงุช ู…ุดุชุฑูƒุฉ ุฏุงุฎู„ ู…ู†ุทู‚ุฉ
564
+
565
+ 142
566
+ 00:12:36,240 --> 00:12:40,380
567
+ ุฌุบุฑุงููŠุฉ ู…ุญุฏุฏุฉ ุงู„ุชุตู†ูŠู ู‡ู†ุง ู„ุง ูŠู†ุตุฑ ุนู„ู‰ ุฌู…ูŠุน ุงู„ุฃูุฑุงุฏ
568
+
569
+ 143
570
+ 00:12:40,380 --> 00:12:43,940
571
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ูˆุฅู„ุง ุนู„ู‰ ุงู„ุฃู‡ุฏุงู ุฃูˆ ุงู„ุฃุดุฎุงุต ุฃูˆ
572
+
573
+ 144
574
+ 00:12:43,940 --> 00:12:47,720
575
+ ุงู„ุฃูุฑุงุฏ ุฃูˆ ุงู„ุฌุงู…ุนุงุช ุงู„ู„ูŠ ูˆุฏูŠ ู„ู‡ู… ุงู‡ุชู…ุงู…ุงุช ูˆู…ุตุงู„ุญ
576
+
577
+ 145
578
+ 00:12:47,720 --> 00:12:51,840
579
+ ุดุฑูƒุฉ ู…ุนูŠู†ุฉ ููŠ ุจุทุงู‚ ุงู„ู…ุนู„ู…ูŠู† ุฃูˆ ุงู„ุฃุทุจุงุก ุจุงู„ุถุจุท ุฅุฐุง
580
+
581
+ 146
582
+ 00:12:51,840 --> 00:12:55,740
583
+ ู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠุนู†ูŠ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน
584
+
585
+ 147
586
+ 00:12:55,740 --> 00:12:59,840
587
+ ุงู„ุฌุบุฑุงููŠ ูŠูˆุฌุฏ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ุฃู†ูู‚ุงุช ู…ุฎุชู„ูุฉูู„ุฐู„ูƒ
588
+
589
+ 148
590
+ 00:12:59,840 --> 00:13:02,720
591
+ ุฅู† ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู…ู† ุฎู„ุงู„ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
592
+
593
+ 149
594
+ 00:13:02,720 --> 00:13:07,220
595
+ ูŠุชุนุงู…ู„ ู…ุน ูุฆุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฎุชู„ูุฉ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุฉ
596
+
597
+ 150
598
+ 00:13:07,220 --> 00:13:11,740
599
+ ุงู„ู…ุนุงู‚ูŠู† ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุฉ ุงู„ุดุจุงุจ
600
+
601
+ 151
602
+ 00:13:11,740 --> 00:13:17,080
603
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ุจู†ุณู…ูŠู‡ ู…ุฌุชู…ุน ูˆุธูŠููŠ ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน
604
+
605
+ 152
606
+ 00:13:17,080 --> 00:13:22,480
607
+ ุงู„ู…ุฑุฃุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ุงู„ุฃุทูุงู„ุŒ ูุฆุฉ
608
+
609
+ 153
610
+ 00:13:22,480 --> 00:13:28,670
611
+ ุงู„ุฃุทูุงู„ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ู…ุฌุชู…ุน ูˆุธูŠููŠุŒ ูˆู‡ูƒุฐุงุŒ ูู„ุฐู„ูƒู‡ุฐุง
612
+
613
+ 154
614
+ 00:13:28,670 --> 00:13:33,390
615
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠุนู†ูŠ ู…ุฑุชุจุท ุจุงู„ูุฆุงุช ุงู„ุชูŠ ุชูˆุฌุฏ ููŠู‡
616
+
617
+ 155
618
+ 00:13:33,390 --> 00:13:41,350
619
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃุญูŠุงู†ุงู‹ ู‚ุฏ ู†ุชุนุงู…ู„ ู…ุน ู…ุดูƒู„ุฉ ู…ู†
620
+
621
+ 156
622
+ 00:13:41,350 --> 00:13:45,600
623
+ ู…ุดูƒู„ุฉูˆู‚ุฏ ุชุฑุชุจู‚ ุจู…ุฌุชู…ุน ุฌุบุฑุงููŠ ู…ุนูŠู† ูˆ ุฃูƒุซุฑ ู…ู†
624
+
625
+ 157
626
+ 00:13:45,600 --> 00:13:49,880
627
+ ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง ู…ุง ุณู†ุชุญุฏุซ ุนู†ู‡ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุงู„ู…ุดูƒู„ุงุช
628
+
629
+ 158
630
+ 00:13:49,880 --> 00:13:54,040
631
+ ุงู„ุชูŠ ูˆุฌู‡ู‡ุง ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุฃุณุงุณูŠ ุงู„ุนู…ู„ ู‡ู†ุง ููŠ
632
+
633
+ 159
634
+ 00:13:54,040 --> 00:13:58,680
635
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ุงู„ุญุฏูˆุฏ ุงู„ุฌุบุฑุงููŠุฉ ูˆู„ุง ุงู„ู†ุงุณ ุงู„ู†ุงุณ
636
+
637
+ 160
638
+ 00:13:58,680 --> 00:14:03,160
639
+ ุจูุฆุงุชู‡ู… ุงู„ู…ุฎุชู„ูุฉ ูˆ ุงู„ูˆุธูŠููŠุฉ ุณูˆุงุก ูƒุงู†ูˆุง ุฃุฎุตุงุฆูŠู†
640
+
641
+ 161
642
+ 00:14:03,160 --> 00:14:07,860
643
+ ุงุฌุชู…ุงุนูŠูŠู† ุณูˆุงุก ูƒุงู†ูˆุง ุฃุทุจุงุก ุณูˆุงุก ูƒุงู†ูˆุง ู…ุนู„ู…ูŠู† ุณูˆุงุก
644
+
645
+ 162
646
+ 00:14:07,860 --> 00:14:12,750
647
+ ูƒุงู†ูˆุง ู…ู‡ู†ุฏุณูŠู† ุณูˆุงุก ูƒุงู†ูˆุง ุนู…ุงู„ ูˆ ู‡ูƒุฐุงูุฆุงุช ุงู„ู…ุฌุชู…ุน
648
+
649
+ 163
650
+ 00:14:12,750 --> 00:14:17,270
651
+ ุงู„ู…ุฎุชู„ูุฉ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูู‡ุฐุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน
652
+
653
+ 164
654
+ 00:14:17,270 --> 00:14:24,310
655
+ ุงู„ูˆุธูŠู ุทุจุนุง
656
+
657
+ 165
658
+ 00:14:24,310 --> 00:14:29,590
659
+ ุจุนุฏ ุงู„ุงู†ุชู‚ุงู„ ู…ู† ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
660
+
661
+ 166
662
+ 00:14:29,590 --> 00:14:36,410
663
+ ุงู„ูˆุธูŠู ูŠุนู†ูŠ ุฃู† ู†ู†ุชู‚ู„ ุงู„ุขู† ุฅู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุฃูŠู† ู…ูˆู‚ุน
664
+
665
+ 167
666
+ 00:14:36,410 --> 00:14:40,890
667
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐุง ุงู„ุชู‚ุณูŠู… ููŠ ุฃุทุงุฑ ุงู„ู…ุฌุชู…ุน
668
+
669
+ 168
670
+ 00:14:42,000 --> 00:14:51,040
671
+ ุชู‚ูˆู„ ู…ูˆู‚ุน ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ูˆุงุถุญุŸ
672
+
673
+ 169
674
+ 00:14:51,040 --> 00:14:55,440
675
+ ุจุฏู†ุง ู†ุดูˆู ููŠ ูŠุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุชุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
676
+
677
+ 170
678
+ 00:14:55,440 --> 00:15:01,680
679
+ ุงู„ูˆุธูŠููŠ ุฃูŠู† ู…ูˆู‚ุน ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ู‡ุฐุง ุงู„ุชู‚ุณูŠู…
680
+
681
+ 171
682
+ 00:15:01,680 --> 00:15:05,830
683
+ ุงู„ู„ูŠ ุงุญู†ุง ู‚ู„ู†ุงู‡ ู‡ู„ ู‡ูˆ ู…ุง ู†ูุตู„ ุนู† ุจุนุถู‡ ุงู„ุจุนุถุŸู‡ู„ ู‡ูˆ
684
+
685
+ 172
686
+ 00:15:05,830 --> 00:15:12,190
687
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ูŠู†ูุตู„ ุนู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ูƒู„ู‡
688
+
689
+ 173
690
+ 00:15:12,190 --> 00:15:15,790
691
+ ูŠูƒู…ู„ ุจุนุถ ุจุณ ุงุญู†ุง ุจู†ุฌุณู…ู‡ู… ุนู„ุดุงู† ุงู„ุฏุฑุงุณุฉ ูˆุฅู„ุง
692
+
693
+ 174
694
+ 00:15:15,790 --> 00:15:19,030
695
+ ุงู„ุฃุฎุตุงุฆูŠ ุจูŠุนู…ู„ ุฃุญูŠุงู†ุง ููŠ ุฃุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
696
+
697
+ 175
698
+ 00:15:19,030 --> 00:15:23,490
699
+ ูˆู„ูƒู† ู‚ุฏ ูŠุนู…ู„ ู…ุน ุจุนุถ ุงู„ูุฆุงุช ู…ุน ุจุนุถ ุงู„ู…ุคุณุณุงุช ุฏุงุฎู„
700
+
701
+ 176
702
+ 00:15:23,490 --> 00:15:27,450
703
+ ุงู„ู…ุฌุชู…ุนุŒ ูˆุงุถุญุŸ ุฅุฐู† ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
704
+
705
+ 177
706
+ 00:15:27,450 --> 00:15:32,850
707
+ ูˆููŠ ู†ูุณ ุงู„ูˆู‚ุช ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠูˆุงุถุญุŸ ูู„ุฐู„ูƒ
708
+
709
+ 178
710
+ 00:15:32,850 --> 00:15:36,510
711
+ ุงู„ุชู‚ุณูŠู… ู‡ูˆ ู…ู† ุฃุฌู„ ุงู„ุฏุฑุงุณุฉ ูู‚ุท ูˆู„ูƒู† ุงู„ู…ุฌุชู…ุน
712
+
713
+ 179
714
+ 00:15:36,510 --> 00:15:41,650
715
+ ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ุง ูŠู…ูƒู† ูุตู„ู‡ู…ุง ุนู† ุจุนุถู‡ู…ุง
716
+
717
+ 180
718
+ 00:15:41,650 --> 00:15:51,390
719
+ ุงู„ุจุนุถ ู‡ุฐุง ุจุฏู†ุง ู†ูู‡ู…ู‡ ุฃูŠุถุง ูˆุงุถุญุŸ ุทุจุนุง
720
+
721
+ 181
722
+ 00:15:51,390 --> 00:15:56,950
723
+ ุงู„ู…ู†ุธู… ู‡ู†ุง ุจูŠู‚ูู… ุงู„ู…ุฌุชู…ุน ุญุณุจ ุงู„ู…ู‡ู…ุฉ ุฃูˆ ุงู„ุนู…ู„
724
+
725
+ 182
726
+ 00:15:56,950 --> 00:16:01,340
727
+ ุงู„ู…ูƒู„ูุฉ ู…ุง ู‡ูˆ ุทุจูŠุนุฉ ุงู„ุนู…ู„ุŸุฅุฐุง ูƒู†ุง ุจู†ุนู…ู„ ููŠ ุฅุทุงุฑ
728
+
729
+ 183
730
+ 00:16:01,340 --> 00:16:07,280
731
+ ูˆุญุฏุฉ ุฅุฌุชู…ุงุนูŠุฉ ุฃูˆ ุฌู…ุนูŠุฉ ุชู†ู…ูŠุฉ ููŠ ุฅุทุงุฑ ู…ุฌุชู…ุน ู…ุญู„ูŠ ุฃูˆ
732
+
733
+ 184
734
+ 00:16:07,280 --> 00:16:11,600
735
+ ู…ุฏุฑุณ ุฃูˆ ู…ุตู†ุน ุฃูˆ ููŠ ุฃูŠ ู…ูˆู‚ุน ุฅู†ุชุงุฌูŠุŒ ู‡ู†ุง ุจุชูƒูˆู†
736
+
737
+ 185
738
+ 00:16:11,600 --> 00:16:14,660
739
+ ุงู„ู…ู‡ู…ุฉ ู‡ูŠ ุชู†ู…ูŠุฉ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงู„ู„ูŠ ุจู†ุนู…ู„ ููŠ
740
+
741
+ 186
742
+ 00:16:14,660 --> 00:16:18,120
743
+ ุฅุทุงุฑู‡ุŒ ูุจูƒูˆู† ุงู„ุนู…ู„ ู‡ู†ุง ู…ุน ุฅูŠู‡ุŸ ู…ุน ุงู„ูุฏูˆุฏ
744
+
745
+ 187
746
+ 00:16:18,120 --> 00:16:21,500
747
+ ุงู„ุฌุบุฑุงููŠุฉุŒ ุนู„ู‰ ุฃุณุงุณ ุจู†ุนู…ู„ ุชู†ู…ูŠุฉ ููŠ ุฅุทุงุฑ ู‡ุฐุง
748
+
749
+ 188
750
+ 00:16:21,500 --> 00:16:28,380
751
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŒ ูˆุงุถุญุŸุญูŠุซ ูŠุณุนู‰ ุฅู„ู‰ ุชุญุฏูŠุฏ ูˆุงู„ุชุนุฑู
752
+
753
+ 189
754
+ 00:16:28,380 --> 00:16:33,580
755
+ ุนู„ู‰ ุฃู‡ู… ุงู„ู…ุคุณุณุงุช ุงู„ุนุงู…ู„ุฉ ุจู‡ ูˆู†ูˆุนูŠุฉ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู…ุง
756
+
757
+ 190
758
+ 00:16:33,580 --> 00:16:40,280
759
+ ู„ูƒู† ุฅุฐุง ูƒุงู† ู‡ุฏูู‡ ู‡ูˆ ุฎุฏู…ุฉ ูุฆุฉ ู…ุนูŠู†ุฉุŒ ุฅุฐุง ู‡ู†ุง ุจุฑูƒุฒ
760
+
761
+ 191
762
+ 00:16:40,280 --> 00:16:44,900
763
+ ุนู…ู„ู‡ ู…ุน ู…ู†ุŸ ู…ุน ุงู„ูุฆุฉ ุงู„ุชูŠ ูŠุชุนุงู…ู„ ู…ุนู‡ุŒ ุฅุฐุง ูƒุงู† ุนู…ู„ู‡
764
+
765
+ 192
766
+ 00:16:44,900 --> 00:16:50,230
767
+ ู…ุน ุงู„ุดุจุงุจุŒ ุฅุฐุง ุจุฑูƒุฒ ุนู…ู„ู‡ ุนู„ู‰ ูุฆุฉ ุงู„ุดุจุงุจู…ุนุฑูุฉ
768
+
769
+ 193
770
+ 00:16:50,230 --> 00:16:54,890
771
+ ุงู„ุดุจุงุจ ูˆู…ุดูƒู„ุชู‡ู… ูˆุญุงุฌุงุชู‡ู… ูˆูˆุถุน ุงู„ุฎุทุท ูˆู…ุณุงุนุฏุชู‡ู… ุนู„ู‰
772
+
773
+ 194
774
+ 00:16:54,890 --> 00:16:58,550
775
+ ุญู„ ู…ุดูƒู„ุชู‡ู… ุฅุฐุง ู‡ู†ุง ุจุฑูƒุฒ ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ููŠ
776
+
777
+ 195
778
+ 00:16:58,550 --> 00:17:03,250
779
+ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุญุณุจ ุงู„ุนู…ู„ ุงู„ุฎุงุต ุจุงู„ู…ู†ุธู…
780
+
781
+ 196
782
+ 00:17:03,250 --> 00:17:07,810
783
+ ุงู„ุฅุฌุชู…ุงุนูŠ ูˆู‡ูƒุฐุง ุฅุฐุง ูƒุงู† ุนู…ู„ูˆุง ู…ุน ูƒู„ุงุจ ู…ุซู„ุง ุนู…ู„ูˆุง
784
+
785
+ 197
786
+ 00:17:07,810 --> 00:17:11,470
787
+ ู…ุน ู…ุนุงู‚ูŠู† ุนู…ู„ูˆุง ู…ุน ู…ุณู†ูŠู† ุนู…ู„ูˆุง ู…ุน ุงู„ู…ุฑุฃุฉ ุนู…ู„ูˆุง ู…ุน
788
+
789
+ 198
790
+ 00:17:11,470 --> 00:17:16,270
791
+ ุงู„ุฃุทูุงู„ ูˆู‡ูƒุฐุง ู‡ุฐุง ูƒู„ู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ูุฆุฉ ู‡ุฐู‡ ุงู„ูˆุธูŠููŠุฉ
792
+
793
+ 199
794
+ 00:17:16,270 --> 00:17:22,030
795
+ ู‡ูŠ ุงู„ู„ูŠ ุจุชุญุฏุฏู†ูˆุนูŠุฉ ุชุนุงู…ู„ ุงู„ู…ู†ุธู… ู…ุน ู‡ุฐู‡ ุงู„ูุฆุฉ ู‡ู†ุง
796
+
797
+ 200
798
+ 00:17:22,030 --> 00:17:27,070
799
+ ุงู„ู…ุฌุชู…ุน ุฅูŠุด ุจู†ุณู…ูŠู‡ุŸ ูˆุธูŠูุฉ ู…ุฌุชู…ุน ูˆุธูŠูุฉ ู…ุฌุชู…ุน ูˆุธูŠูุฉ
800
+
801
+ 201
802
+ 00:17:27,070 --> 00:17:31,010
803
+ ุฃูŠ ู…ุฑุชุจุท ุจู†ูˆุนูŠุฉ ู…ุนูŠู†ุฉ ููŠ ุงู„ู…ุฌุชู…ุน ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง ุจูƒูˆู†
804
+
805
+ 202
806
+ 00:17:31,010 --> 00:17:35,070
807
+ ุงู„ุชุฑูƒูŠุฒ ู…ุตุงุจ ุนู„ู‰ ุฃูŠ ุนู„ู… ุนู„ู…ุงู†ุŸ ุนู„ู‰ ุงู„ูุฆุฉ ุงู„ุชูŠ ูŠุนู…ู„
808
+
809
+ 203
810
+ 00:17:35,070 --> 00:17:39,470
811
+ ู…ุนู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูƒูƒู„
812
+
813
+ 204
814
+ 00:17:39,470 --> 00:17:44,230
815
+ ูˆุงุถุญ ุจุชุนุฑู ุนู„ู‰ ุงุญุชูŠุงุฌุงุชู‡ุงุŒ ุจุชุนุฑู ุนู„ู‰ ู…ุดูƒู„ุชู‡ุงุŒ
816
+
817
+ 205
818
+ 00:17:44,230 --> 00:17:48,150
819
+ ุจุณุงุนุฏู‡ุง ุนู„ู‰ ุญู„ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุชุŒ ูˆู‡ุง ูƒุฏู‡ูู„ุฐู„ูƒ ู‡ู†ุง
820
+
821
+ 206
822
+ 00:17:48,150 --> 00:17:52,750
823
+ ุจูŠูƒูˆู† ุงู„ุงู‡ุชู…ุงู… ู„ู…ูŠู†ุŸ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŒ ู„ู„ู…ูƒุงู†
824
+
825
+ 207
826
+ 00:17:52,750 --> 00:17:56,830
827
+ ูˆู„ุง ู„ู„ู†ุงุณุŸ ู„ู„ู†ุงุณุŒ ู„ู„ูุฆุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ ุจุชุชุนุงู…ู„
828
+
829
+ 208
830
+ 00:17:56,830 --> 00:18:00,490
831
+ ู…ุนู‡ุงุŒ ุงู„ู…ู†ุงุทู‚ ุงู„ู„ูŠ ู‡ู… ุงู„ู†ุงุณ ุงู„ู„ูŠ ุจุชุชุนุงู…ู„ ู…ุนู‡ุงุŒ ูˆ
832
+
833
+ 209
834
+ 00:18:00,490 --> 00:18:05,190
835
+ ู‡ูƒุฐุง ููŠู…ูƒู† ู‡ู†ุง ุจุชุทุฑู‚ ุนู…ู„ู‡ ู…ุน ุงู„ู†ุงุณ ุฅู„ู‰ ุฃูƒุซุฑ ู…ู†
836
+
837
+ 210
838
+ 00:18:05,190 --> 00:18:10,830
839
+ ู…ูƒุงู†ุŒ ุฃูƒุซุฑ ู…ู† ู…ูƒุงู† ุฌุบุฑุงููŠ ููŠ ุฏุงุฑ ุงู„ู…ุฌุชู…ุนุŒ ูˆุงุถุญุŸ
840
+
841
+ 211
842
+ 00:18:10,830 --> 00:18:15,480
843
+ ุฅุฐุง ุงู„ู…ู†ุธู… ู‡ู†ุง ูŠุนู…ู„ ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ุฌุบุฑุงููŠู…ู…ูƒู† ูŠู‡ู…ู„
844
+
845
+ 212
846
+ 00:18:15,480 --> 00:18:19,580
847
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ู‡ูˆ ุงู„ู„ู‡ ู„ุง ูŠู‡ู…ู„ู‡ ุนู†ุฏู…ุง ูŠุนู…ู„ ู…ุน
848
+
849
+ 213
850
+ 00:18:19,580 --> 00:18:24,320
851
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู„ุง ูŠู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุงุถุญุŸ ู„ุง
852
+
853
+ 214
854
+ 00:18:24,320 --> 00:18:28,480
855
+ ูŠู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุญูŠู†ู…ุง ูŠุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู
856
+
857
+ 215
858
+ 00:18:28,480 --> 00:18:32,980
859
+ ุฃูŠุถุง ู„ุง ู†ู†ูƒุฑ ูˆู„ุง ู†ู‡ู…ู„ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู„ุฃู† ุงู„ู…ุฌุชู…ุน
860
+
861
+ 216
862
+ 00:18:32,980 --> 00:18:37,540
863
+ ุงู„ูˆุธูŠู ู…ูˆุฌูˆุฏ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฅุฐุง ูƒู„ ู…ู†ู‡ู…
864
+
865
+ 217
866
+ 00:18:37,540 --> 00:18:42,980
867
+ ู…ูƒู…ู„ ู„ู…ูŠู†ุŸ ุงู„ุขุฎุฑ ูˆุฃูŠุถุง ุงู„ู…ู‡ุงู… ุงู„ู…ู‡ู†ูŠุฉ ู„ู„ู…ู†ุธู…
868
+
869
+ 218
870
+ 00:18:42,980 --> 00:18:47,630
871
+ ุงู„ุงุฌุชู…ุงุนูŠู…ุญุฏุฏุฉ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูˆุงู„ู…ุฌุชู…ุน
872
+
873
+ 219
874
+ 00:18:47,630 --> 00:18:52,190
875
+ ุงู„ูˆุธูŠู ูˆุงู„ุชู‚ุณูŠู… ู‡ู†ุง ู…ู† ุฃุฌู„ ู…ุงุฐุงุŸ ู…ู† ุฃุฌู„ ุงู„ุฏุฑุงุณุฉ
876
+
877
+ 220
878
+ 00:18:52,190 --> 00:19:00,190
879
+ ูู‚ุท ุงู„ุฏุฑุงุณุฉ ูˆู„ุง ุงู†ูุตุงู„ ุจูŠู† ุงู„ู…ุฌุชู…ุนูŠู†ุŒ ูุงุถุญุŸ ุชูู‡ู…ู†ุง
880
+
881
+ 221
882
+ 00:19:00,190 --> 00:19:03,950
883
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŸ ูˆูˆูŠู† ุฏูˆุฑ ุงู„ู…ู†ุธู…
884
+
885
+ 222
886
+ 00:19:03,950 --> 00:19:08,130
887
+ ุงู„ุงุฌุชู…ุงุนูŠุŸ ูŠุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ูƒูƒู„ ุนู†ุฏู…ุง ูŠู‚ูˆู…
888
+
889
+ 223
890
+ 00:19:08,130 --> 00:19:13,520
891
+ ุจุฅู†ู‡ูŠุฉ ุชู†ู…ูŠุฉุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ุนู…ู„ ููŠ ุงู„ู…ุฏุงุฑุณ ููŠ ุงู„ู…ุตุงู†ุน
892
+
893
+ 224
894
+ 00:19:13,520 --> 00:19:16,740
895
+ ููŠ ุงู„ูˆุญุฏุงุช ุงู„ู…ุฌู…ุนุฉ ููŠ ูˆุญุฏุงุช ุงู„ุชู†ู…ูŠุฉ ุฅู„ู‰ ุบูŠุฑ ุฐู„ูƒ
896
+
897
+ 225
898
+ 00:19:16,740 --> 00:19:20,140
899
+ ุงู„ู…ุฑุงูƒุฒ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู„ู„ุชู†ู…ูŠุฉ ู‡ู†ุง ุจุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน
900
+
901
+ 226
902
+ 00:19:20,140 --> 00:19:25,000
903
+ ูƒูƒู„ ููŠ ุฅุทุงุฑ ุฌุบุฑุงููŠ ูˆู…ู…ูƒู† ู†ุชุนุงู…ู„ ู…ุน ูุฆุงุช ุงู„ู…ุฌุชู…ุน
904
+
905
+ 227
906
+ 00:19:25,000 --> 00:19:29,920
907
+ ุฅุฐุง ุฅุทุงุฑ ูˆุธูŠูุฉ ุงู„ูุฆุงุช ุงู„ู…ุฎุชู„ูุฉ ู‡ุฐู‡ ุงู„ูุฆุงุช ุงู„ู…ุฎุชู„ูุฉ
908
+
909
+ 228
910
+ 00:19:29,920 --> 00:19:34,080
911
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุธูŠููŠุฉ ุจู†ุณู…ูŠู‡ุง ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู„ู‡ ุนู„ุงู‚ุฉ
912
+
913
+ 229
914
+ 00:19:34,080 --> 00:19:37,480
915
+ ุจุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ู…ุฑุชุจุท ู…ุน ุจุนุถู‡ ุงู„ุจุนุถ ูˆู„ุง ุงู†ูุตุงู„
916
+
917
+ 230
918
+ 00:19:37,480 --> 00:19:41,230
919
+ ุจูŠู†ู‡ู…ูˆู„ุฐู„ูƒ ุฏูˆุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุนู†ุฏู…ุง ูŠุนู…ู„ ู…ุน
920
+
921
+ 231
922
+ 00:19:41,230 --> 00:19:45,550
923
+ ุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠ ู‡ูˆ ูŠุนู…ู„ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠุŒ
924
+
925
+ 232
926
+ 00:19:45,550 --> 00:19:50,170
927
+ ูˆุงุถุญุŸ ุทูŠุจุŒ ุฅุฐุง ุงู„ุงู†ูุตุงู„ ุจูŠู† ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ
928
+
929
+ 233
930
+ 00:19:50,170 --> 00:19:55,910
931
+ ูˆุงู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠููŠุŒ ู†ุฃุชูŠ ุจุนุฏ ุฐู„ูƒ ู„ู…ูˆุถูˆุน ุฌุฏูŠุฏ ู…ู†
932
+
933
+ 234
934
+ 00:19:55,910 --> 00:20:00,330
935
+ ู…ูุงู‡ูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ูˆู‡ูˆ ู…ูˆุถูˆุน
936
+
937
+ 235
938
+ 00:20:00,330 --> 00:20:05,150
939
+ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ุฃูˆ ุงู„ู…ุฌุชู…ุนูˆู‡ู†ุง ุจุฏู†ุง ู†ุนุฑู ุฅู† ู…ุฌุชู…ุน ู…ู†
940
+
941
+ 236
942
+ 00:20:05,150 --> 00:20:08,910
943
+ ุญุงุฌุฉ ุฃูˆ ู…ู† ู…ุดูƒู„ุฉ ู‡ูˆ ุงู„ุฃุณุงุณ ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
944
+
945
+ 237
946
+ 00:20:08,910 --> 00:20:13,030
947
+ ู„ุฃู†ู†ุง ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู†ุชุนุงู…ู„ ู…ุน ู…ุดูƒู„ุงุช
948
+
949
+ 238
950
+ 00:20:13,030 --> 00:20:19,050
951
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู†ุฑูƒุฒ ุนู„ู‰ ู…ูˆุถูˆุน ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉ ุฃูˆ
952
+
953
+ 239
954
+ 00:20:19,050 --> 00:20:24,290
955
+ ุญุงุฌุฉู„ุฃู† ุชุนุงู…ู„ู†ุง ู…ุน ุงู„ู…ุดูƒู„ุงุช ู„ูƒูŠ ู†ุณุงุนุฏ ุงู„ู†ุงุณ ุนู„ู‰
956
+
957
+ 240
958
+ 00:20:24,290 --> 00:20:29,510
959
+ ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆุญู„ู‡ุง ูู„ุฐู„ูƒ ู‡ู†ุง ู…ุฌุชู…ุน ุงู„ุฏุฑุงู‚
960
+
961
+ 241
962
+ 00:20:29,510 --> 00:20:34,070
963
+ ู…ุฌุชู…ุน ููŠ ุฃุทุงุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ
964
+
965
+ 242
966
+ 00:20:34,070 --> 00:20:40,330
967
+ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ูˆุงู„ู…ุดูƒู„ุฉ ู…ู‡ู… ุฌุฏุง ูู„ุฐู„ูƒ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ
968
+
969
+ 243
970
+ 00:20:40,330 --> 00:20:47,960
971
+ ูˆุงู„ู…ุดูƒู„ุฉ ูŠุนู†ูŠ ู…ู…ูƒู†ูŠุนุฑูู†ุง ุนู„ู‰ ุฃู† ุฃุณุงุณ ุฃูŠ ู…ุฌุชู…ุน ู‡ูŠ
972
+
973
+ 244
974
+ 00:20:47,960 --> 00:20:51,680
975
+ ุงู„ู…ุดูƒู„ุฉ ูˆุงู„ู…ุดูƒู„ุฉ ุฃุญูŠุงู†ุง ู‚ุฏ ุชูƒูˆู† ููŠ ุฅุทุงุฑ ุถูŠู‚ ูˆู‚ุฏ
976
+
977
+ 245
978
+ 00:20:51,680 --> 00:20:55,680
979
+ ุชูƒูˆู† ููŠ ู…ุณุชูˆู‰ ู…ุญู„ูŠ ูˆู…ู…ูƒู† ุชูƒูˆู† ููŠ ู…ุณุชูˆู‰ ู‚ูˆู…ูŠ ูˆู…ู…ูƒู†
980
+
981
+ 246
982
+ 00:20:55,680 --> 00:20:59,940
983
+ ุชูƒูˆู† ููŠ ุฃูƒุซุฑ ู…ู† ุงู„ู…ุฌุชู…ุน ููŠ ุฃูƒุซุฑ ู…ู† ู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉ
984
+
985
+ 247
986
+ 00:20:59,940 --> 00:21:04,060
987
+ ุงู„ุชุชูˆุงุฌุฏ ู„ุง ูŠู…ูƒู† ุฃู† ุชุชูˆุงุฌุฏ ู…ู…ูƒู† ุชูƒูˆู† ููŠ ู…ุฌุชู…ุน ู…ุญู„ูŠ
988
+
989
+ 248
990
+ 00:21:04,060 --> 00:21:08,700
991
+ ุตุบูŠุฑ ูˆู…ู…ูƒู† ุชูƒูˆู† ููŠ ุนุฏุฉ ู…ุฌุชู…ุนุงุช ู…ุญู„ูŠุฉ ุฃูˆ ููŠ ู…ุฌุชู…ุน
992
+
993
+ 249
994
+ 00:21:08,700 --> 00:21:13,230
995
+ ู‚ูˆู…ูŠ ูƒุฐู„ูƒูˆู‡ุง ูƒุฐุงุŒ ูˆู…ู…ูƒู† ุชูƒูˆู† ู…ู† ู…ุฌุชู…ุน ู‚ูˆู…ูŠ ู„ู…ุฌุชู…ุน
996
+
997
+ 250
998
+ 00:21:13,230 --> 00:21:16,990
999
+ ุขุฎุฑุŒ ูˆู…ู…ูƒู† ุชูƒูˆู† ุงู„ู…ุดูƒู„ุฉ ุฃุญูŠุงู†ุงู‹ ู„ู‡ุง ุบูŠุฑ ุงู„ุทุงุจุน
1000
+
1001
+ 251
1002
+ 00:21:16,990 --> 00:21:20,850
1003
+ ุงู„ู…ุญู„ูŠ ูˆุงู„ุทุงุจุน ุงู„ู‚ูˆู…ูŠ ู„ู‡ุง ุงู„ุทุงุจุน ุงู„ุฏูˆู„ูŠุŒ ุงู„ู…ุดูƒู„ุฉ
1004
+
1005
+ 252
1006
+ 00:21:20,850 --> 00:21:24,070
1007
+ ู‚ุฏ ุชุชูุงู‚ู… ูŠูƒูˆู† ู„ู‡ุง ุงู„ุทุงุจุน ุงู„ุฏูˆู„ูŠุŒ ูู„ุฐู„ูƒ ู‡ู†ุง ุฃู†ุง
1008
+
1009
+ 253
1010
+ 00:21:24,070 --> 00:21:28,750
1011
+ ูƒู…ู†ุธู… ุงุฌุชู…ุงุนูŠ ุจุชุนุงุจู„ ู…ุน ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉุŒ ุฃูŠู†ู…ุง ุชูƒูˆู†
1012
+
1013
+ 254
1014
+ 00:21:28,750 --> 00:21:32,590
1015
+ ุงู„ู…ุดูƒู„ุฉ ุฃู†ุง ุจุชุนุงู…ู„ ู…ุนุงู‡ุŒ ูˆุฃู‚ูˆู„ ูŠุง ุญูŠุทุงู† ุทุจุนุง ุนู†ุฏู†ุง
1016
+
1017
+ 255
1018
+ 00:21:32,590 --> 00:21:36,640
1019
+ ูƒุซูŠุฑ ู…ู† ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ูˆู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉูŠุนู†ูŠ ูƒุซูŠุฑ ู…ู†
1020
+
1021
+ 256
1022
+ 00:21:36,640 --> 00:21:40,040
1023
+ ุงู„ู…ุดูƒู„ุงุช ุจุชูƒูˆู† ูุชูƒูˆู† ุนู„ู‰ ู…ุณุชูˆู‰ ู…ุญู„ูŠ ูุชูƒูˆู† ุนู„ู‰
1024
+
1025
+ 257
1026
+ 00:21:40,040 --> 00:21:44,240
1027
+ ู…ุณุชูˆู‰ ู‚ูˆู…ูŠ ูุชูƒูˆู† ุนู„ู‰ ุฃูƒุซุฑ ู…ู† ู…ุณุชูˆู‰ ู…ุญู„ูŠ ุฃูŠุถุง
1028
+
1029
+ 258
1030
+ 00:21:44,240 --> 00:21:50,860
1031
+ ู…ูˆุฌูˆุฏุฉ ููŠ ุนุฏุฏ ู…ู† ุงู„ู…ุฌุชู…ุนุงุช ุทูŠุจ
1032
+
1033
+ 259
1034
+ 00:21:50,860 --> 00:21:56,140
1035
+ ูู„ุฐู„ูƒ ุฃู†ุง ุจู†ุฑูƒุฒ ู‡ู†ุง ุนู„ู‰ ู…ูˆุถูˆุน ุงู„ู…ุดูƒู„ุฉ ูˆุงู„ู…ุดูƒู„ุฉ
1036
+
1037
+ 260
1038
+ 00:21:56,140 --> 00:22:00,180
1039
+ ุฏุงุฆู…ุง ู†ุญู† ู„ูˆ ุจุฏู†ุง ู†ุชุนุฑู ุนู„ูŠู‡ุง ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„
1040
+
1041
+ 261
1042
+ 00:22:00,180 --> 00:22:06,140
1043
+ ู…ุณุงุนุฏุฉ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุญู„ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ
1044
+
1045
+ 262
1046
+ 00:22:06,140 --> 00:22:11,160
1047
+ ู‡ูŠ ูˆุญุฏุฉ ุนู…ู„ ุงู„ู…ู†ุธู… ู…ุน ุงู„ู…ุฌุชู…ุนุŒ ูˆุญุฏุฉ ุนู…ู„ูŠ ููŠ ุฏุงุฎู„
1048
+
1049
+ 263
1050
+ 00:22:11,160 --> 00:22:16,080
1051
+ ุงู„ู…ุฌุชู…ุน ู‡ูŠ ู…ุน ุงู„ู…ุดูƒู„ุฉุŒ ูŠุนู†ูŠ ุนู†ุฏู…ุง ุฃูƒูˆู† ููŠ ู…ุฌุชู…ุน
1052
+
1053
+ 264
1054
+ 00:22:16,080 --> 00:22:19,360
1055
+ ุฌูŠุบุฑุงููŠุง ุฃูˆ ู…ุฌุชู…ุน ูˆ ู…ุง ูŠุชุจู‚ู‰ุŒ ุจุฑูƒุฒ ุนู„ู‰ ุงู„ู…ุดุงูƒู„ุŒ
1056
+
1057
+ 265
1058
+ 00:22:19,360 --> 00:22:23,220
1059
+ ุฃูŠู† ุชูƒูˆู† ุงู„ู…ุดูƒู„ุฉุŸ ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉุŸ ู…ุฌุชู…ุน ุงู„ู…ุดูƒู„ุฉุŸ
1060
+
1061
+ 266
1062
+ 00:22:23,570 --> 00:22:26,550
1063
+ ุงู„ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ุจุชุนุงู…ู„ ู…ุนู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู‚ุฏ
1064
+
1065
+ 267
1066
+ 00:22:26,550 --> 00:22:30,870
1067
+ ุชูƒูˆู† ู…ุญุณูˆุณุฉ ูˆ ู‚ุฏ ุชูƒูˆู† ุบูŠุฑ ู…ุญุณูˆุณุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠุญุณ ุจู‡ุง
1068
+
1069
+ 268
1070
+ 00:22:30,870 --> 00:22:35,250
1071
+ ูˆ ู…ู…ูƒู† ุฃูŠุถุง ู„ุง ูŠุญุณ ุจู‡ุง ูƒุซูŠุฑ ู…ู†ู†ุง ูŠุนูŠุด ููŠ ู…ุดูƒู„ุงุช ู‚ุฏ
1072
+
1073
+ 269
1074
+ 00:22:35,250 --> 00:22:38,730
1075
+ ู„ุง ูŠุญุณ ุจู‡ุง ูˆู„ูƒู† ูŠุชุนุงูŠุด ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆ ุฃุญูŠุงู†ุง
1076
+
1077
+ 270
1078
+ 00:22:38,730 --> 00:22:43,740
1079
+ ุงู„ู…ุดูƒู„ุงุช ู†ุญุณ ุจู‡ุง ุจุฃู†ู‡ุง ู…ุดูƒู„ุฉูู„ุฐู„ูƒ ู†ุญู† ุฏูˆุฑู†ุง ููŠ
1080
+
1081
+ 271
1082
+ 00:22:43,740 --> 00:22:47,500
1083
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ูˆ ุฃู† ู†ุนุฑู ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุญุณูˆุณุฉ
1084
+
1085
+ 272
1086
+ 00:22:47,500 --> 00:22:51,340
1087
+ ูˆุงู„ู…ุดูƒู„ุงุช ุบูŠุฑ ุงู„ู…ุญุณูˆุณุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุญุณูˆุณุฉ ู†ุณุชุทูŠุน ุฃู†
1088
+
1089
+ 273
1090
+ 00:22:51,340 --> 00:22:55,060
1091
+ ู†ููƒุฑ ููŠ ุนู„ุงุฌู‡ุง ูˆู„ูƒู† ุฃุญูŠุงู†ุง ุงู„ู…ุดูƒู„ุงุช ุบูŠุฑ ู…ุญุณูˆุณุฉ
1092
+
1093
+ 274
1094
+ 00:22:55,060 --> 00:22:59,340
1095
+ ุชุญุชุงุฌ ุฅู„ู‰ ุงุณุชุซุงุฑุฉ ู…ู† ู‚ุจู„ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ู„ุงุณุชุซุงุฑุฉ
1096
+
1097
+ 275
1098
+ 00:22:59,340 --> 00:23:04,320
1099
+ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ู„ุงุญุณุงุณู‡ู… ุจู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุญุชู‰ ูŠููƒุฑูˆู† ููŠ
1100
+
1101
+ 276
1102
+ 00:23:04,320 --> 00:23:10,160
1103
+ ูƒูŠููŠุฉ ุนู„ุงุฌู‡ุง ุดูู…ู†ุง
1104
+
1105
+ 277
1106
+ 00:23:10,160 --> 00:23:17,020
1107
+ ุงู„ุงุญุชูŠุงุฌุงุชุŸุฃูŠุถุง ุฃุญูŠุงู†ุง ุงู„ุญูŠุฒ ุงู„ู…ูƒุงู†ูŠ ู„ูŠุณ ู‡ูˆ ุงู„ุฃุณุงุณ
1108
+
1109
+ 278
1110
+ 00:23:17,020 --> 00:23:20,540
1111
+ ููŠ ุงู„ู…ู…ุงุฑุณุฉ ุงู„ุญูŠุฒ ุงู„ู…ูƒุงู†ูŠ ู„ู„ู…ุดูƒู„ุฉ ู…ุด ู‡ูˆ ุงู„ุฃุณุงุณ
1112
+
1113
+ 279
1114
+ 00:23:20,540 --> 00:23:24,680
1115
+ ู…ู…ูƒู† ุงู„ู…ุดูƒู„ุฉ ุชูƒูˆู† ู„ู‡ุง ุฃูƒุซุฑ ู…ู† ู…ูƒุงู†ู‡ุง ุฃูƒุซุฑ ู…ู† ู‚ุฑูŠุฉ
1116
+
1117
+ 280
1118
+ 00:23:24,680 --> 00:23:28,220
1119
+ ุฃูƒุซุฑ ู…ู† ู…ุฏูŠู†ุฉ ุฃูƒุซุฑ ู…ู† ู…ุฌุชู…ุน ู…ุญู„ูŠ ู„ุฐู„ูƒ ู‡ู†ุง ู„ุงุจุฏ ู…ู†
1120
+
1121
+ 281
1122
+ 00:23:28,220 --> 00:23:32,480
1123
+ ุงู„ุชุนุงูˆู† ู…ุน ุงู„ุฃุฌุฒุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุฌุชู…ุนุงุช ู„ูƒูŠ
1124
+
1125
+ 282
1126
+ 00:23:32,480 --> 00:23:37,980
1127
+ ู†ูˆุงุฌู‡ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุฃูŠุถุง ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุบูŠุฑ
1128
+
1129
+ 283
1130
+ 00:23:38,920 --> 00:23:41,580
1131
+ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃุณุณ ุงู„ู„ูŠ ุจุนุชู…ุฏ
1132
+
1133
+ 284
1134
+ 00:23:41,580 --> 00:23:44,900
1135
+ ุนู„ูŠู‡ุง ู‡ุฐุง ุงู„ุชุตูˆุฑ ู„ู„ู…ุฌุชู…ุน ุจุงุนุชุจุงุฑู‡ ู…ุฌุชู…ุน ุงู„ ุฅูŠู‡
1136
+
1137
+ 285
1138
+ 00:23:44,900 --> 00:23:49,000
1139
+ ุงู„ู…ุดูƒู„ุฉ ุฅุฐุง ูƒุงู†ุช ู‡ู†ุงูƒ ุงุญุชูŠุงุฌุงุช ุบูŠุฑ ู…ุดุจุนุฉ ูˆูŠุนุงู†ู‰
1140
+
1141
+ 286
1142
+ 00:23:49,000 --> 00:23:54,440
1143
+ ู…ู†ู‡ุง ุฃูƒุซุฑ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ูˆ ุชุชุถู…ู‰ ูˆ ุฃูŠุถุง ูˆ ุชุชุนู„ู‚
1144
+
1145
+ 287
1146
+ 00:23:54,440 --> 00:24:00,000
1147
+ ุจู…ุฑุงูู‚ ุนุงู…ู„ ุฃุณุงุณูŠุฉ ูุชู„ูƒ ุงู„ุงุญุชูŠุงุฌุงุช ุชุญุธู‰ ุจุงู„ุฃูˆู„ูˆูŠุฉ
1148
+
1149
+ 288
1150
+ 00:24:00,000 --> 00:24:05,320
1151
+ ุชุญุธู‰ ุจุงู„ุฃูˆู„ูˆูŠุฉุงู„ุงุญุชูŠุงุฌุงุช ุงู„ู„ูŠ ุจุชู‡ุฏุฏ ุฃู…ู† ุงู„ู…ุฌุชู…ุน ู‡ูŠ
1152
+
1153
+ 289
1154
+ 00:24:05,320 --> 00:24:12,800
1155
+ ู…ุง ูŠุทู„ู‚ ุนู„ูŠู‡ุง ุงุญุชูŠุงุฌุงุช ุงู„ุจู‚ุงุก ุงุญูŠุงู†ุง ุจุชุชุนู„ู‚ ุจุงู„ุฃู…ู†
1156
+
1157
+ 290
1158
+ 00:24:12,800 --> 00:24:21,720
1159
+ ุทูŠุจ ุงูŠู† ุฏูˆุฑ ุงู„ู…ู†ุธู… ููŠ ุงุทุงุฑ ู‡ุฐุง ุงู„ู…ูู‡ูˆู… ุงู„ู„ูŠ ู‡ูˆ
1160
+
1161
+ 291
1162
+ 00:24:21,720 --> 00:24:29,060
1163
+ ุงู„ู…ุฌุชู…ุน ูƒู…ุดูƒู„ุฉ ูƒุญุงุฌุฉ ุงูŠู† ุฏูˆุฑูŠ ุงู†ุง ุฏูˆุฑูŠ ูƒู…ู†ุธู… ุงู†
1164
+
1165
+ 292
1166
+ 00:24:29,060 --> 00:24:35,010
1167
+ ุงุชุนุงู…ู„ุฃูˆ ุงู„ุญุงุฌุฉ ููŠ ู…ู†ุธู… ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ูˆูŠุนู…ู„ ุนู„ู‰
1168
+
1169
+ 293
1170
+ 00:24:35,010 --> 00:24:38,970
1171
+ ุฃุฌู‡ุฒู‡ ุดู‡ูˆุฏ ุจุนูŠู†ูŠู‡ ุดุฏูŠุฏุฉุŸ ุทุจุนุงุŒ ุฅุฐุง ุฃู†ุง ุฏูˆุฑูŠ ูƒู…ู†ุธู…
1172
+
1173
+ 294
1174
+ 00:24:38,970 --> 00:24:43,790
1175
+ ุงุฌุชู…ุงุนูŠ ู…ุน ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ ุงู„ุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ุฅู†
1176
+
1177
+ 295
1178
+ 00:24:43,790 --> 00:24:48,610
1179
+ ุฃุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ู„ูƒูŠ ุฃุณุงุนุฏ ุณูƒุงู† ุงู„ู…ุฌุชู…ุน ุนู„ู‰
1180
+
1181
+ 296
1182
+ 00:24:48,610 --> 00:24:53,490
1183
+ ู…ุนุฑูุฉ ู…ุดูƒู„ุชู‡ู… ูˆุนู„ู‰ ูˆุถุน ุงู„ุฎุทูˆุท ุฃูˆ ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ูˆุถุน
1184
+
1185
+ 297
1186
+ 00:24:53,490 --> 00:24:57,820
1187
+ ุงู„ุญู„ูˆู„ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉูˆุงุถุญุŸ ู‡ูŠ ุฏูˆุฑ ุงู„ู…ู†ุธู…ุฉ ุจุงุฎุชุตุงุฑ
1188
+
1189
+ 298
1190
+ 00:24:57,820 --> 00:25:01,980
1191
+ ูŠุนู†ูŠ ูู„ุฐู„ูƒ ุฏุงุฆู…ุง ุงู„ู…ุฌุชู…ุน ุฃูˆ ูˆุงุญุฏุฉ ุงู„ุชุนุงู…ู„ ู‡ูŠ
1192
+
1193
+ 299
1194
+ 00:25:01,980 --> 00:25:09,200
1195
+ ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ ู‡ู†ุง ู„ู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุทุจุนุง
1196
+
1197
+ 300
1198
+ 00:25:09,200 --> 00:25:13,720
1199
+ ู‡ู†ุง ููŠ ุงู„ู†ู‡ุงูŠุฉ ุญุชู‰ ู„ูˆ ุชุนุงู…ู„ู†ุง ู…ุน ู…ุฌุชู…ุน ุงู„ุญุงุฌุฉ ุฃูˆ
1200
+
1201
+ 301
1202
+ 00:25:13,720 --> 00:25:17,960
1203
+ ุงู„ู…ุดูƒู„ุฉ ุจู†ุฑุฌุน ู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุฃู… ู„ุงุŸ
1204
+
1205
+ 302
1206
+ 00:25:17,960 --> 00:25:22,900
1207
+ ุจู†ุฑุฌุน ู„ู‡ู… ู„ุฃู† ู‡ูˆ ุงู„ุฃุณุงุณ ุจู†ุฑุฌุน ู„ู…ุฌุชู…ุน ุงู„ูˆุธูŠู ูˆู…ุฌุชู…ุน
1208
+
1209
+ 303
1210
+ 00:25:22,900 --> 00:25:27,850
1211
+ ุงู„ุฌุบุฑุงููŠูู„ุฐู„ูƒ ุญุชู‰ ู†ุชุนุงู…ู„ ู…ุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ูˆุทุจุนุง ุงุญู†ุง
1212
+
1213
+ 304
1214
+ 00:25:27,850 --> 00:25:31,730
1215
+ ููŠ ู…ูู‡ูˆู… ุงู„ู…ุณุชู‚ุจู„ ููŠ ู…ุญุงุถุฑุฉ ู‚ุงุฏู…ุฉ ู‡ู†ุชูƒู„ู… ุนู†
1216
+
1217
+ 305
1218
+ 00:25:31,730 --> 00:25:38,670
1219
+ ุงู„ู…ุดูƒู„ุฉ ูˆุงู†ูˆุงุน ุงู„ู…ุดุงูƒู„ ุจุงู„ุชูุตูŠู„ ุจุฅุฐู† ุงู„ู„ู‡ ุชุนุงู„ู‰
1220
+
1221
+ 306
1222
+ 00:25:38,670 --> 00:25:46,510
1223
+ ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูˆ ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ
1224
+
1225
+ 307
1226
+ 00:25:48,770 --> 00:25:52,410
1227
+ ู†ุชุฑุงูˆุญ ุงู„ู…ุฌุชู…ุน ุงู„ู…ู†ุธู…ุฉ ุฃูˆ ู…ุฌุชู…ุน ุงู„ู…ุคุณุณุฉ ุจุงู„ุงุณู…
1228
+
1229
+ 308
1230
+ 00:25:52,410 --> 00:25:59,590
1231
+ ุงู„ู…ู†ุธู…ุฉ ุงู„ู…ุคุณุณุฉ ุงู„ู‡ูŠุฆุฉ ูƒู„ู‡ุง ูŠุนู†ูŠ ุจู…ุนู†ู‰ ูˆุงุญุฏ ู…ุฌุชู…ุน
1232
+
1233
+ 309
1234
+ 00:25:59,590 --> 00:26:07,450
1235
+ ุงู„ู…ู†ุธู…ุฉ ุทุจุนุง ุฏู‡ ู‡ูˆ ุงู„ุชุนุงู…ู„ ุงู„ู…ู‡ู†ูŠ ู…ุน ู…ูƒูˆู†ุงุช
1236
+
1237
+ 310
1238
+ 00:26:07,450 --> 00:26:12,450
1239
+ ุงู„ู…ู†ุธู…ุงุช ูˆู…ุฌุชู…ุนู‡ุง ุงู„ุฐุงุชูŠ ู†ุนู… ุงู„ู…ู†ุธู…ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
1240
+
1241
+ 311
1242
+ 00:26:12,450 --> 00:26:18,170
1243
+ ู„ู…ุณุงุนุฏุชู‡ุง ุฃูŠ ู…ุณุงุนุฏุฉ ุฐุงุช ุงู„ู…ู†ุธู…ุงุช ู„ูƒูŠ ุชู‚ูˆู… ุจูˆุธูŠูุชู‡ุง
1244
+
1245
+ 312
1246
+ 00:26:18,550 --> 00:26:24,410
1247
+ ู„ูƒูŠ ุชู‚ูˆู… ุจุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ูˆู‡ูŠ ู…ุณุงุนุฏุฉ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
1248
+
1249
+ 313
1250
+ 00:26:24,410 --> 00:26:30,890
1251
+ ุทุจุนุง ู…ู…ูƒู†
1252
+
1253
+ 314
1254
+ 00:26:30,890 --> 00:26:35,290
1255
+ ู†ู†ุชู‚ู„ ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ุงู„ุนู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน
1256
+
1257
+ 315
1258
+ 00:26:35,290 --> 00:26:39,770
1259
+ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุฅู„ู‰ ุงู„ู…ุฌุชู…ุน ุงู„ุฏุงุฎู„ูŠ
1260
+
1261
+ 316
1262
+ 00:26:39,770 --> 00:26:43,550
1263
+ ู…ุง ู‡ูˆ ุงู„ู…ุฌุชู…ุน ุงู„ุฏุงุฎู„ูŠ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงู„ู„ูŠ ู‡ูŠ
1264
+
1265
+ 317
1266
+ 00:26:43,550 --> 00:26:47,350
1267
+ ุงู„ู…ู†ุธู…ุฉ ูŠุนู†ูŠ ุฏุงุฆู…ุง ูƒู„ ู…ุฌุชู…ุน ู…ุญู„ูŠ ููŠู‡ ุนุฏุฏ ู…ู†
1268
+
1269
+ 318
1270
+ 00:26:47,350 --> 00:26:51,050
1271
+ ุงู„ู…ู†ุธู…ุงุชูุฅุฐุง ุฅุญู†ุง ู†ุชุนุงู…ู„ ู…ุน ุงู„ู…ู†ุธู…ุฉ ููŠ ุฅุทุงุฑ
1272
+
1273
+ 319
1274
+ 00:26:51,050 --> 00:26:55,370
1275
+ ุงู„ู…ุฌุชู…ุนุŒ ู„ุฃู† ุงู„ู…ู†ุธู…ุฉ ู„ุง ุชูˆุฌุฏ ุฅู„ุง ููŠ ู…ุฌุชู…ุนุŒ
1276
+
1277
+ 320
1278
+ 00:26:55,370 --> 00:26:59,990
1279
+ ูˆุงู„ู…ู†ุธู…ุฉ ุชูˆุฌุฏ ู„ุฅุดุจุงุญ ุญุงุฌุฉ ุฃูˆ ุญู„ ู…ุดูƒู„ุฉุŒ ูู„ุฐู„ูƒ
1280
+
1281
+ 321
1282
+ 00:26:59,990 --> 00:27:04,190
1283
+ ุงู„ู…ุฌุชู…ุน ู‚ุฑูŠุฉ ุฃูˆ ู…ุฏูŠู†ุฉ ุฃูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ุฃูˆ ุฏูˆู„ุฉ ูŠูˆุฌุฏ
1284
+
1285
+ 322
1286
+ 00:27:04,190 --> 00:27:08,570
1287
+ ููŠู‡ุง ุนุฏุฏ ู…ู† ุงู„ู…ู†ุธู…ุงุช ุฃูˆ ุงู„ู…ุคุณุณุงุชุŒ ูุฃู†ุง ู‡ู†ุง ุจุชุนุงู…ู„
1288
+
1289
+ 323
1290
+ 00:27:08,570 --> 00:27:13,640
1291
+ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ู…ู†ุธู…ุฉ ููŠ ุฅุทุงุฑ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠููŠ ุฅุทุงุฑ
1292
+
1293
+ 324
1294
+ 00:27:13,640 --> 00:27:17,840
1295
+ ุงู„ู…ุฌุชู…ุน ุงู„ุฌุบุฑุงููŠ ุงู„ุฐูŠ ุชูˆุฌุฏ ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู†ุธู…ุฉ ุฃูˆ
1296
+
1297
+ 325
1298
+ 00:27:17,840 --> 00:27:27,980
1299
+ ุงู„ู…ุคุณุณุฉ ููŠ
1300
+
1301
+ 326
1302
+ 00:27:27,980 --> 00:27:32,640
1303
+ ุฃูŠุถู‹ุง ุงู„ุฃุณุณ ุงู„ู„ูŠ ูŠุนุชู…ุฏ ุนู„ูŠู‡ุง ู‡ุฐุง ุงู„ุชุตูˆุฑ ู…ุง ู‡ูŠ
1304
+
1305
+ 327
1306
+ 00:27:32,640 --> 00:27:37,870
1307
+ ุงู„ุฃุณุณุŸู…ุง ู‡ูˆ ุงู„ุฃุณุงุณ ุงู„ุฃูˆู„ู‰ุŸ ุงู„ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑ
1308
+
1309
+ 328
1310
+ 00:27:37,870 --> 00:27:41,530
1311
+ ุงู„ู…ู†ุธู…ุฉ ุฏู‡ ูƒูŠ ุชุชู…ูƒู† ู…ู† ุงู„ุชุนุงู…ู„ ุจูุนุงู„ูŠุฉ ู…ุชุฒุงูŠุฏุฉ ู…ุน
1312
+
1313
+ 329
1314
+ 00:27:41,530 --> 00:27:45,290
1315
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุณุชููŠุฏ ู…ู† ุฎุฏู…ุชู‡ุง ุฅุฐุง ุงู„ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑ
1316
+
1317
+ 330
1318
+ 00:27:45,290 --> 00:27:51,830
1319
+ ุงู„ู…ู†ุธู…ุฉุŒ ู…ุณุงู‡ู…ุฉ ููŠ ุชุทูˆูŠุฑู‡ุงุŒ ุญุชู‰ ุชุชู…ูƒู† ุฃู† ุชุชุนุงู…ู„
1320
+
1321
+ 331
1322
+ 00:27:51,830 --> 00:27:54,550
1323
+ ุจูุนุงู„ูŠุฉ ู…ุชุฒุงูŠุฏุฉ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ุฐูŠ ุชูˆุฌุฏ ููŠู‡ุง ุฏูŠ
1324
+
1325
+ 332
1326
+ 00:27:54,550 --> 00:27:59,600
1327
+ ุงู„ู…ู†ุธู…ุฉุŒ ู…ุงุฐุง ุฃูŠุถุงุŸุชุญุฑูŠุฑ ุจุงู„ุชู‚ูŠูŠู… ุงู„ุนู…ู„ูŠุงุช ุงู„ุชูŠ
1328
+
1329
+ 333
1330
+ 00:27:59,600 --> 00:28:03,020
1331
+ ุชุคุชูŠู‡ุง ุงู„ู…ู†ุธู…ุงุช ุงู„ู…ุณุชููŠุฏูŠู† ูˆุชุญุฏูŠุฏ ุงู„ุนุงู…ู„ุฉ ุงู„ู†ุธูŠููŠุฉ
1332
+
1333
+ 334
1334
+ 00:28:03,020 --> 00:28:05,680
1335
+ ุงู„ุชูŠ ุชุคุซุฑู‡ุง ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุฉุŸ ุทุจุนุง ูƒุนู…ู„ูŠุฉ ุชู‚ูŠูŠู…ูŠุฉ ู„ุงุจุฏ
1336
+
1337
+ 335
1338
+ 00:28:05,680 --> 00:28:08,920
1339
+ ู†ุญู„ู„ ุงู„ุนู…ู„ูŠุงุช ุงู„ู„ูŠ ุจุชูˆู… ุจูŠู‡ุง ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุฉ ูˆู†ุนุฑู
1340
+
1341
+ 336
1342
+ 00:28:08,920 --> 00:28:12,700
1343
+ ุงู„ุฅูŠุฌุงุจูŠุงุช ูˆุงู„ุณู„ุจูŠุงุช ุญุชู‰ ู†ุณุงุนุฏู‡ุง ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุฏูˆุฑู‡ุง
1344
+
1345
+ 337
1346
+ 00:28:12,700 --> 00:28:17,640
1347
+ ููŠ ุชู‚ุฏูŠู… ุฎุฏู…ุงุชู‡ุง ู„ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃูŠุถุง ู…ู† ุงู„ุฃุณุณ
1348
+
1349
+ 338
1350
+ 00:28:17,640 --> 00:28:21,120
1351
+ ุงู„ู„ูŠ ุจูŠุนุชู…ุฏ ุนู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุตูˆุฑ ุงู„ู„ูŠ ู‡ูˆ ู…ุฌุชู…ุน ู‡ุฐู‡
1352
+
1353
+ 339
1354
+ 00:28:21,120 --> 00:28:24,140
1355
+ ุงู„ู…ู†ุธู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ูƒู…ู†ุธู…ุฉ ุฃูŠู‡ ุจุฏูŠ
1356
+
1357
+ 340
1358
+ 00:28:31,960 --> 00:28:37,780
1359
+ ุฏุฑุงุณุฉ ุงุญุชูŠุงุฌุงุช ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ุบูŠุฑ ุงู„ู…ุดุจุนุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ
1360
+
1361
+ 341
1362
+ 00:28:37,780 --> 00:28:43,870
1363
+ ู†ุงู‚ุตู‡ุง ูŠุนู†ูŠ ููŠ ู…ุดุงูƒู„ ููŠ ุญุงุฌุงุชุบูŠุฑ ู…ุดุจุนุฉ ู„ุฃูุฑุงุฏ
1364
+
1365
+ 342
1366
+ 00:28:43,870 --> 00:28:47,910
1367
+ ุงู„ู…ุฌุชู…ุน ู„ุงุฒู… ู†ุนุฑูู‡ุง ู„ูŠู‡ ุญุชู‰ ุชู‚ูˆู… ู‡ุฐู‡ ุงู„ู…ู†ุธู…ุงุช
1368
+
1369
+ 343
1370
+ 00:28:47,910 --> 00:28:53,130
1371
+ ุจุฅุดุจุงุนู‡ุง ูุฏูˆุฑ ุงู„ู…ู†ุธู… ุฃู† ูŠุนุฑู ู‡ุฐู‡ ุงู„ุญุงุฌุงุช ูˆูŠุณุงุนุฏ
1372
+
1373
+ 344
1374
+ 00:28:53,130 --> 00:28:56,370
1375
+ ุงู„ู…ู†ุธู…ุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุฏูˆุฑู‡ุง ููŠ ุฅุดุจุงุน ุญุงุฌุงุช ุฃูุฑุงุฏ
1376
+
1377
+ 345
1378
+ 00:28:56,370 --> 00:29:01,210
1379
+ ุงู„ู…ุฌุชู…ุน ุฃูŠูˆุฉ ูŠุง ุจู†ุชูŠ ูุถู„ูŠ ุงู„ุนุงู…ู„ ุจูŠุงู† ู…ุฎุชู„ู ุฃู‚ุณุงู…
1380
+
1381
+ 346
1382
+ 00:29:01,210 --> 00:29:04,150
1383
+ ุงู„ู…ู†ุธู…ุฉ ู„ุชุญุณูŠู† ุงู„ุฅุจุงู‚ุงุช ูˆุงู„ุงุฑุชูุงุน ุจุงู„ุชู†ุตูŠู ุงู„ู…ุจูŠุน
1384
+
1385
+ 347
1386
+ 00:29:04,150 --> 00:29:09,320
1387
+ ุงู„ุฃู‚ุณุงู… ุทุจุนุง ูƒู„ ู…ู†ุธู…ุฉ ู„ู‡ุง ุฃู‚ุณุงู… ูˆุฅุฏุงุฑุงุชูˆูˆุญุฏุงุช
1388
+
1389
+ 348
1390
+ 00:29:09,320 --> 00:29:13,520
1391
+ ูู„ุฐู„ูƒ ู„ุงุจุฏ ู…ู† ุงู„ุชู†ุณูŠู‚ ุจูŠู† ุงู„ุฃู‚ุตุงู… ุงู„ู…ุฎุชู„ูุฉ ู„ู…ุงุฐุง
1392
+
1393
+ 349
1394
+ 00:29:13,520 --> 00:29:17,680
1395
+ ุญุชู‰ ู†ุญุฏุซ ู†ูˆุน ู…ู† ุงู„ุชุนุงูˆู† ุจูŠู† ุงู„ุนุงู…ู„ูŠู† ุฏุงุฎู„ ุงู„ู…ุคุณุณุฉ
1396
+
1397
+ 350
1398
+ 00:29:17,680 --> 00:29:21,080
1399
+ ุจูŠู† ุฃู‚ุตุงู…ู‡ุง ุงู„ู…ุฎุชู„ูุฉ ุญุชู‰ ู†ุณุงุนุฏ ุงู„ู…ุคุณุณุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู…
1400
+
1401
+ 351
1402
+ 00:29:21,080 --> 00:29:27,040
1403
+ ุจูˆุธูŠูุชู‡ุง ูˆุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ู„ู„ู…ุฌุชู…ุน ุทุจุนุง ุงู„ุตุนูˆุจุงุช ุงู„ู„ูŠ
1404
+
1405
+ 352
1406
+ 00:29:27,040 --> 00:29:28,880
1407
+ ุจุชูˆุงุฌู‡ ุงู„ุนู…ู„ ุงู„ู…ู‡ู†ูŠ
1408
+
1409
+ 353
1410
+ 00:29:33,610 --> 00:29:36,990
1411
+ ุงู„ู…ู‡ู†ูŠูŠู† ุงู„ุนุงู…ู„ูŠู† ุฏุงุฎู„ ุงู„ู…ุคุณุณุฉ ู†ุดูˆู ุฃูŠุด ุงู„ุตุนูˆุจุงุช
1412
+
1413
+ 354
1414
+ 00:29:36,990 --> 00:29:41,190
1415
+ ุงู„ู„ูŠ ุจุชูˆุฌุนู‡ู… ูˆุฃูŠุถุง ู†ุนู…ู„ ุนู„ู‰ ุชุฏู„ูŠู„ู‡ุง ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
1416
+
1417
+ 355
1418
+ 00:29:41,190 --> 00:29:50,130
1419
+ ู…ูู‡ูˆู… ุงู„ู…ุฌุชู…ุน ูƒู…ู†ุธู…ุฉ ุทูŠุจ ููŠ ุนู†ุฏู†ุง ุฃูŠุถุง ุจุงู„ุฅุถุงูุฉ
1420
+
1421
+ 356
1422
+ 00:29:50,130 --> 00:29:54,250
1423
+ ู„ู„ุฃุณุณ ุงู„ุณุงุจู‚ุฉ ูŠุนู†ูŠ ู‡ูŠ ู†ุนุชุจุฑู‡ุง ู…ุญูˆุฑ ุงู„ุนู…ู„ ู„ุฏู‰
1424
+
1425
+ 357
1426
+ 00:29:54,250 --> 00:30:03,360
1427
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุจุงู„ู…ู†ุธู…ุฉ ูˆู„ุฐู„ูƒ ุฃุญูŠุงู†ุง ู„ุงุจุฏูŠุนู†ูŠ
1428
+
1429
+ 358
1430
+ 00:30:03,360 --> 00:30:07,280
1431
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ุงุญู†ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ู‚ู„ูŠู„ ุงู„ู„ูŠ ู‡ูˆ
1432
+
1433
+ 359
1434
+ 00:30:07,280 --> 00:30:10,700
1435
+ ุนู„ู‰ ุงู„ุฃู‚ุตุงุก ุฃู† ูŠุนุฑูู‡ุง ู„ูƒูŠ ูŠุณุงุนุฏ ุงู„ู…ู†ุธู…ุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู…
1436
+
1437
+ 360
1438
+ 00:30:10,700 --> 00:30:15,440
1439
+ ุจุชุญู‚ูŠู‚ ุฃู‡ุฏุงูู‡ุง ูˆุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน ููŠ ุฅุฌุจุงุก ุงุญุชูŠุงุฌุงุช
1440
+
1441
+ 361
1442
+ 00:30:15,440 --> 00:30:22,140
1443
+ ุงู„ู…ุฌุชู…ุน ูˆุญู„ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ู‡ู†ุง ุฃูŠุถู‹ุง double ูŠุนู†ูŠ
1444
+
1445
+ 362
1446
+ 00:30:22,140 --> 00:30:26,940
1447
+ ููŠ ู…ุฌุงู„ุงุช ู…ุนูŠู†ุฉ ุงู„ูƒู„ุงู… ู‡ุฐุง ุงู„ู„ูŠ ุงุญู†ุง ู‚ู„ู†ุงู‡ ุงู„ุณุงุจู‚
1448
+
1449
+ 363
1450
+ 00:30:26,940 --> 00:30:30,940
1451
+ ู‡ุฐุง ูƒู„ู‡ ููŠ ุฅุทุงุฑ ู…ุฌุงู„ุงุช ู…ุนูŠู†ุฉ ุนู†ุฏ ุชุฌู…ูŠุน ุงู„ู…ุนู„ูˆู…ุงุช
1452
+
1453
+ 364
1454
+ 00:30:31,090 --> 00:30:35,890
1455
+ ูˆุงู„ุฃุฑุงุก ูˆุงู„ุจูŠุงู†ุงุช ุงู„ู…ุชุงุญุฉ ุญูˆู„ ู…ูˆุถูˆุน ู…ุนูŠู†ุŒ ุฃูŠุถู‹ุง
1456
+
1457
+ 365
1458
+ 00:30:35,890 --> 00:30:40,930
1459
+ ุนู†ุฏ ู…ู†ุงู‚ุดุฉ ููˆุงุฆุฏ ูˆู…ุถุงุฑุจ ุงู„ู…ุนู„ูˆู…ุฉ ุฃูˆ ุจูŠุงู† ูˆุงุถุญ ุฃูˆ
1460
+
1461
+ 366
1462
+ 00:30:40,930 --> 00:30:46,110
1463
+ ุฑุฃูŠุŒ ุญูŠุซ ูŠู‚ูˆู… ุจุชุฎุฐูŠุฉ ู…ุชุฎุฐูŠุฉ ุงู„ู‚ุฑุงุฑุงุช ุจุชุญุตูŠู„ู‡ ุฃูˆ
1464
+
1465
+ 367
1466
+ 00:30:46,110 --> 00:30:51,150
1467
+ ุจุญุตูŠู„ุฉ ู…ุชุฑูˆุณุฉ ู…ู† ุงู„ุฎูŠุงุฑุงุช ู…ู…ุง ูŠุณู‡ู„ ุงุชุฎุงุฐ ุงู„ู‚ุฑุงุฑ
1468
+
1469
+ 368
1470
+ 00:30:51,150 --> 00:30:56,760
1471
+ ุงู„ู…ู†ุงุณุจ ู„ุตุงู„ุญ ู…ูŠู†ูƒู…ุฌุชู…ุน ูˆุงู„ู…ุฌุชู…ุน ูƒุฐู„ูƒ ุฅู„ู‰ ู‡ู†ุง
1472
+
1473
+ 369
1474
+ 00:30:56,760 --> 00:31:01,460
1475
+ ู†ูƒุชููŠ ูˆุงู† ุดุงุก ุงู„ู„ู‡ ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…๏ฟฝ๏ฟฝ ู„ูƒูˆู† ู…ู†ูŠ ูƒู„
1476
+
1477
+ 370
1478
+ 00:31:01,460 --> 00:31:06,560
1479
+ ุชุญูŠุฉ ูˆ ุชู‚ุฏูŠุฑ ูˆุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1480
+
PL9fwy3NUQKwaKyeI5iiPpebyFXxlPBffV/gWn4tKPng0U_raw.srt ADDED
@@ -0,0 +1,2372 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:20,840 --> 00:00:24,060
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:24,060 --> 00:00:28,520
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฃุดุฑู ุงู„ู…ุฑุณู„ูŠู† ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ู‰
8
+
9
+ 3
10
+ 00:00:28,520 --> 00:00:34,100
11
+ ุขู„ู‡ ูˆุตุญุจู‡ ุฃุฌู…ุนูŠู† ุจู†ุงุช ุงู„ุทุงู„ุจุงุช ุงู„ุณู„ุงู… ุนู„ูŠ ูƒู„ู†ุง
12
+
13
+ 4
14
+ 00:00:34,100 --> 00:00:41,240
15
+ ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ููŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุณู†ุชุนุฑุถ ุฅู„ู‰
16
+
17
+ 5
18
+ 00:00:41,240 --> 00:00:45,500
19
+ ุชุนุฑูŠูุงุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ
20
+
21
+ 6
22
+ 00:00:45,500 --> 00:00:51,000
23
+ ุฃุฎุฐู†ุง ุฃู‡ู…ูŠุฉุฅูŠุฌุงุฏ ุชุนุฑูŠู ู„ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
24
+
25
+ 7
26
+ 00:00:51,000 --> 00:00:57,780
27
+ ูˆุชุญุฏุซู†ุง ุนู† ุงู„ุตุนูˆุจุงุช ุงู„ุชูŠ ุชูˆุงุฌู‡ ุงู„ู…ุฎุชุตูŠู† ููŠ ุทุฑูŠู‚
28
+
29
+ 8
30
+ 00:00:57,780 --> 00:01:01,500
31
+ ุงู„ุทุฑูŠู‚ ุงู„ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฅู„ู‰ ุฅูŠุฌุงุฏ ุชุนุฑูŠู ู…ูˆุญุฏ
32
+
33
+ 9
34
+ 00:01:01,500 --> 00:01:06,860
35
+ ูˆุจูŠุงู†ู†ุง ุฃู‡ู… ู‡ุฐู‡ ุงู„ุฃุณุจุงุจ ุงู„ุชูŠ ุฌุนู„ุช ู‡ู†ุงูƒ ุชุนุฑูŠูุงุช
36
+
37
+ 10
38
+ 00:01:06,860 --> 00:01:13,300
39
+ ุนุฏูŠุฏุฉ ู„ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุฃูŠุถุง ุชุนุฑุถู†ุง ุฅู„ู‰ ู…ูู‡ูˆู…
40
+
41
+ 11
42
+ 00:01:13,300 --> 00:01:21,430
43
+ ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ ู…ุง ู‡ูŠ ุดุฑูˆุท ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏูˆ ุฃูŠุถุง ูƒุฐู„ูƒ
44
+
45
+ 12
46
+ 00:01:21,430 --> 00:01:27,430
47
+ ุชูƒู„ู…ู†ุง ูŠุนู†ูŠ ุจุตูุฉ ุนุงู…ุฉ ุนู† ุฎุตุงุฆุต ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ
48
+
49
+ 13
50
+ 00:01:27,430 --> 00:01:33,410
51
+ ู…ุถู…ูˆู†ุง ูˆ ุดูƒู„ุง ูˆ ุญุฏุฏู†ุง ูŠุนู†ูŠ ุงู„ู…ุถู…ูˆู† D3 ุงู„ู„ูŠ ู‡ูŠ
52
+
53
+ 14
54
+ 00:01:33,410 --> 00:01:37,430
55
+ ุงู„ุฎุตุงุฆุต ุงู„ุนุงู…ุฉ ู„ู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ ุงู„ู„ูŠ ู…ุง ู‡ูŠ ูˆ ูƒูŠููŠุฉ ูˆ
56
+
57
+ 15
58
+ 00:01:37,430 --> 00:01:41,770
59
+ ุนู„ูŠุฉ ุถุฑูˆุฑูŠ ู„ุงุจุฏ ุฃู† ุชุชูˆูุฑ ููŠ ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ ุจุงู„ุงุถุงูุฉ
60
+
61
+ 16
62
+ 00:01:41,770 --> 00:01:46,290
63
+ ู„ู„ุดุฑูˆุท ุงู„ุดูƒู„ูŠุฉ ุงู„ุฃุฎุฑู‰ ูˆู‡ูŠ ุณู‡ูˆู„ุฉ ุงู„ุนุจุงุฑุฉ ูˆ ูƒุชุงุจุฉ
64
+
65
+ 17
66
+ 00:01:46,290 --> 00:01:51,880
67
+ ุจุงู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉ ุงู„ู…ุตุญู‰ูˆุนุฏู… ุงู„ูƒุชุงุจุฉ ุจุงู„ุนุงู…ูŠุฉ ูˆ ูƒุฐู„ูƒ
68
+
69
+ 18
70
+ 00:01:51,880 --> 00:01:57,960
71
+ ุฃู† ูŠูƒูˆู† ู…ูˆุฌุฒุง ูˆ ุฃู„ุง ูŠูƒูˆู† ููŠู‡ ุณุฑุฏ ุชุนุฑูŠู ุฌูŠุฏ ูˆ ุฃู†
72
+
73
+ 19
74
+ 00:01:57,960 --> 00:02:03,180
75
+ ูŠุนู†ูŠ ูŠุชู†ุงุณุจ ู…ุน ุงู„ู…ุฌุชู…ุน ูˆ ุซู‚ุงูุฉ ุงู„ู…ุฌุชู…ุน ุจุญูŠุซ ูŠุนู†ูŠ
76
+
77
+ 20
78
+ 00:02:03,180 --> 00:02:07,000
79
+ ู…ู† ูŠู‚ุฑุง ู‡ุฐุง ุงู„ุชุนุฑูŠู ูŠูู‡ู…ู‡ ูˆ ุฎุงุตุง ู„ุงุจุฏ ุฃู† ูŠูƒุชุจ
80
+
81
+ 21
82
+ 00:02:07,000 --> 00:02:11,240
83
+ ุงู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉ ุงู„ูุตุญู‰ ู…ุฏุงู… ู†ุญู† ู†ุฏุฑุณ ููŠ ุฌุงู…ุนุฉ
84
+
85
+ 22
86
+ 00:02:11,240 --> 00:02:16,130
87
+ ุฅุณู„ุงู…ูŠุฉ ุนุฑุจูŠุฉ ุฅุฐุง ู„ุงุจุฏ ุฃู† ูŠูƒูˆู† ุงู„ุชุนุฑูŠู ุนุฑุจูŠูˆุฅุฐุง
88
+
89
+ 23
90
+ 00:02:16,130 --> 00:02:20,170
91
+ ูƒุงู† ุฃุฌู†ุจูŠุง ู†ุณุชุทูŠุน ุฃู† ู†ุชุฑุฌู…ู‡ ุฃูŠุถุงุŒ ุฅุฐุง ูƒุงู† ุจุงู„ู„ุบุงุช
92
+
93
+ 24
94
+ 00:02:20,170 --> 00:02:25,110
95
+ ุงู„ุฃุฎุฑู‰ ุณูˆุงุก ุงู„ู„ุบุงุช ุงู„ุฃุฎุฑู‰ ุงู„ุฃุฌู†ุจูŠุฉ ู†ุณุชุทูŠุน ุฃู†
96
+
97
+ 25
98
+ 00:02:25,110 --> 00:02:30,170
99
+ ู†ุชุฑุฌู…ู‡ ู„ู„ูู…ู‡ ูƒุฐู„ูƒุŒ ู†ุชุฑุฌู…ู‡ ู„ู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉุŒ ูู„ุฐู„ูƒ
100
+
101
+ 26
102
+ 00:02:30,170 --> 00:02:36,210
103
+ ู„ุงุจุฏ ุฃู† ูŠูƒูˆู† ุงู„ุชุนุฑูŠู ู…ูู‡ูˆู… ุดูƒู„ุง ูˆ ู…ุถู…ูˆู†ุงุŒ ุงู„ูŠูˆู…
104
+
105
+ 27
106
+ 00:02:36,210 --> 00:02:42,100
107
+ ุณู†ุชุญุฏุซ ุนู† ุงู„ุชุนุฑูŠูุงู„ุฎุงุต ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุจุนุง
108
+
109
+ 28
110
+ 00:02:42,100 --> 00:02:45,680
111
+ ู‡ู†ุงูƒ ุนุฏุฉ ุชุนุฑูŠูุงุช ุญุณุจ ุงู„ู…ุฑุญู„ุฉ ุงู„ุชูŠ ู…ุฑุช ุจู‡ุง ุทุฑูŠู‚ุฉ
112
+
113
+ 29
114
+ 00:02:45,680 --> 00:02:50,220
115
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆู‡ูŠ ุนู†ุฏู†ุง ุฃุฑุจุน ู…ุฑุงุญู„ ู…ุฑุช ุจูŠู‡ุง ุทุฑูŠู‚ุฉ
116
+
117
+ 30
118
+ 00:02:50,220 --> 00:02:55,420
119
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุญุณุจ ูƒู„ ู…ุฑุญู„ุฉ ุณู†ุณุฑุฏ ูŠุนู†ูŠ ุจุนุถ
120
+
121
+ 31
122
+ 00:02:55,420 --> 00:03:01,860
123
+ ุงู„ุชุนุฑูŠูุงุช ุงู„ุชุนุฑูŠูุงุช ุงู„ุฃุฌู†ุจูŠุฉ ูˆุฎุงุตุฉ ูŠุนู†ูŠ ููŠ ุฃู…ุฑูŠูƒุง
124
+
125
+ 32
126
+ 00:03:01,860 --> 00:03:08,810
127
+ ุฃูˆ ุจุฑูŠุทุงู†ูŠุงุจุงู„ุฅุถุงูุฉ ุฅู„ู‰ ุงู„ุชุนุฑูŠูุงุช ุงู„ุนุฑุจูŠุฉ ูˆุฎุงุตุฉ ููŠ
128
+
129
+ 33
130
+ 00:03:08,810 --> 00:03:11,870
131
+ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ุจุงุนุชุจุงุฑ ุงู† ุงู„ู‚ุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
132
+
133
+ 34
134
+ 00:03:11,870 --> 00:03:16,870
135
+ ู†ุดุฃุช ูˆุงู†ุชู‚ู„ุช ู…ู† ุฃู…ุฑูŠูƒุง ุฅู„ู‰ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ ุนู† ุทุฑูŠู‚
136
+
137
+ 35
138
+ 00:03:16,870 --> 00:03:23,150
139
+ ู…ุตุฑ ูู„ุฐู„ูƒ ุณู†ุฃุฎุฐ ุจุนุถ ุงู„ุนู„ู…ุงุก ุฃูŠุถุง ุนุฑุจ ู…ุตุฑูŠูŠู† ููŠ
140
+
141
+ 36
142
+ 00:03:23,150 --> 00:03:26,970
143
+ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ูˆู‡ู… ุฃุณุงุชุฐุฉ ุฏุฑุณูˆู†ุง ุณู†ุชุนุฑุถ ุฅู„ู‰
144
+
145
+ 37
146
+ 00:03:26,970 --> 00:03:32,170
147
+ ุชุนุฑูŠูุงุชู‡ู… ุฃูŠุถุง ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุฅุฐู† ุงู„ู„ู‡ุทุจุนุง
148
+
149
+ 38
150
+ 00:03:32,170 --> 00:03:36,530
151
+ ุงู„ู…ุฑุงุญู„ ู‡ูŠ ุณุชูƒูˆู† ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู„ุชู†ุณูŠู‚ ุซู… ุงู„ู…ุฑุญู„ุฉ
152
+
153
+ 39
154
+ 00:03:36,530 --> 00:03:41,590
155
+ ุงู„ุซุงู†ูŠุฉ ุงู„ุชุฎุทูŠุท ุซู… ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู„ุซุฉ ุงู„ุชู†ู…ูŠุฉ ูˆ
156
+
157
+ 40
158
+ 00:03:41,590 --> 00:03:46,250
159
+ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃุฎูŠุฑุฉ ูˆุงู„ุฑุงุจุนุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฏูุงุน ู…ุฑุญู„ุฉ
160
+
161
+ 41
162
+ 00:03:46,250 --> 00:03:50,510
163
+ ุงู„ุฏูุงุนูุณู†ุชุญุฏุซ ุนู† ูƒู„ ู…ุฑุญู„ุฉ ๏ฟฝ๏ฟฝู† ู‡ุฐู‡ ุงู„ู…ุฑุงุญู„ ู…ู† ุญูŠุซ
164
+
165
+ 42
166
+ 00:03:50,510 --> 00:03:55,190
167
+ ุงู„ุชุนุฑูŠู ู…ุง ู‡ูŠ ุงู„ุชุนุฑูŠูุงุช ุงู„ุชูŠ ุธู‡ุฑุช ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ูˆ
168
+
169
+ 43
170
+ 00:03:55,190 --> 00:03:59,130
171
+ ู„ุง ู†ุณุฑุฏ ูƒู„ ุงู„ุชุนุฑูŠูุงุช ุนู†ุฏ ุงู„ุนู„ู…ุงุก ูƒูƒู„ ูˆู„ูƒู† ุณู†ุงุฎุฏ
172
+
173
+ 44
174
+ 00:03:59,130 --> 00:04:04,870
175
+ ู†ู…ุงุฐุฌ ู†ู…ุงุฐุฌ ู„ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ูˆ ู†ุนุฑู ูŠุนู†ูŠ ุงู„ุชุนุฑูŠู ููŠ
176
+
177
+ 45
178
+ 00:04:04,870 --> 00:04:11,950
179
+ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูƒูŠู ูƒุงู† ุนู†ุฏ ุงู„ุนุฑุจ ูˆ ุนู†ุฏ ุงู„ุบูŠุฑ ุงู„ุนุฑุจ
180
+
181
+ 46
182
+ 00:04:11,950 --> 00:04:16,750
183
+ ุงู„ู„ูŠ ู‡ู… ุงู„ุฃุฌุงู†ุจ ู…ู† ุงู„ุฏูˆุงุฏ ุงู„ุฃุฌุงู†ุจูŠุฉูˆ ุฎุงุตุฉ ู…ู† ูŠุนู†ูŠ
184
+
185
+ 47
186
+ 00:04:16,750 --> 00:04:21,410
187
+ ููŠ ุงู„ุฏูˆู„ ุงู„ุบุฑุจูŠุฉ ูˆ ุฃู…ุฑูŠูƒุง ููŠ ุนู†ุฏู†ุง ู…ุฑุญู„ุฉ ุงู„ู„ูŠ
188
+
189
+ 48
190
+ 00:04:21,410 --> 00:04:24,950
191
+ ุจุชูˆุถุญ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุนุฑูŠูุงุช ุงู„ู„ูŠ ู‡ูŠ ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚
192
+
193
+ 49
194
+ 00:04:24,950 --> 00:04:28,390
195
+ ุฃูˆู„ุง ู†ุงุฎุฏ ุงู„ู†ุงุญูŠุฉ ุงู„ุฃุฌู†ุจูŠุฉ ููŠ ุนู†ุฏู†ุง ุนุฏุฏ ู…ู† ุงู„ุนู„ู…ุงุก
196
+
197
+ 50
198
+ 00:04:28,390 --> 00:04:33,170
199
+ ุนุฑููˆู‡ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ู…ู†ู‡ู…
200
+
201
+ 51
202
+ 00:04:33,170 --> 00:04:37,170
203
+ Lindman ูˆ ุฃูŠุถุง ุชุนุฑูŠู Stiner ูˆ ุชุนุฑูŠู Robert Greene
204
+
205
+ 52
206
+ 00:04:37,170 --> 00:04:42,990
207
+ ูˆ ุชุนุฑูŠู Edmund Brunner ูˆ ุฃูŠุถุง ุชุนุฑูŠู Macmillan ูˆ
208
+
209
+ 53
210
+ 00:04:42,990 --> 00:04:47,920
211
+ ุฃูŠุถุง ุชุนุฑูŠู Neustadtlerู‡ุฐุง ุงู„ุชุนุฑูŠู ูƒู„ู‡ุง ู„ูƒู† ู„ุง ู†ุฑูŠุฏ
212
+
213
+ 54
214
+ 00:04:47,920 --> 00:04:51,380
215
+ ุฃู† ู†ุณุฑุฏ ููŠ ู…ุญุงุถุฑุฉ ูƒู„ ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ูˆู„ูƒู† ุณู†ุฃุฎุฏ
216
+
217
+ 55
218
+ 00:04:51,380 --> 00:04:56,980
219
+ ู†ู…ูˆุฐุฌ ู„ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ูุณู†ุนุฑุถ ู„ู„ุชุนุฑูŠู ุงู„ุฃูˆู„ ูˆุงู„ุฃุฎูŠุฑ
220
+
221
+ 56
222
+ 00:04:56,980 --> 00:05:01,700
223
+ ุจุญูŠุซ ุงู† ุณู†ุฏุฑุณ ู„ Lindemann ุชุนุฑูŠู Lindemann ูˆุชุนุฑูŠู
224
+
225
+ 57
226
+ 00:05:01,700 --> 00:05:10,760
227
+ New Student ุทุจุนุง ุชุนุฑูŠู Lindemann ู„ุชู†ุธูŠู…
228
+
229
+ 58
230
+ 00:05:10,760 --> 00:05:16,790
231
+ ุงู„ู…ุฌุชู…ุน ู‡ุฐุง ุชุนุฑูŠู ู‚ุฏูŠู…ูŠุนู†ูŠ ู…ู† ุฃู‚ุฏู… ุงู„ุชุนุฑูŠูุงุช ููŠ
232
+
233
+ 59
234
+ 00:05:16,790 --> 00:05:22,410
235
+ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ุณู†ุฉ 1920 ูˆุฎุงุตุฉ ููŠ ู…ุฑุญู„ุงุช
236
+
237
+ 60
238
+ 00:05:22,410 --> 00:05:26,610
239
+ ุงู„ุชู†ุณูŠู‚ ูุณู†ุนุฑู ูƒูŠู ูƒุงู† ุงู„ุนู„ู…ุงุก ูŠุนุฑููˆู†ุง ุทุฑูŠู‚ ุชู†ุธูŠู…
240
+
241
+ 61
242
+ 00:05:26,610 --> 00:05:30,470
243
+ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ููŠ ุงู„ุฒู…ู† ุงู„ู…ุงุถูŠ ูˆุฎุงุตุฉ ููŠ ุจุฏุงูŠุฉ
244
+
245
+ 62
246
+ 00:05:30,470 --> 00:05:35,710
247
+ ุงู„ู…ุฑุญู„ุฉ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูู„ุฐู„ูƒ ู„ุฏู…ู† ุจุนุฑู
248
+
249
+ 63
250
+ 00:05:35,710 --> 00:05:40,610
251
+ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ุงูู‚ูˆู„ุด ุนู† ุงู„ุทุฑูŠู‚ุฉ ุงุญู†ุง ุนุงุฑููŠู†
252
+
253
+ 64
254
+ 00:05:40,610 --> 00:05:46,140
255
+ ูŠุนู†ูŠ ู„ุง ูŠู‚ูˆู„ ุนู†ู‡ุง ุชุนุฑูŠููˆุงู†ู…ุง ูŠู‚ูˆู„ ู‡ู†ุง ุจุฃู†ู‡ุง
256
+
257
+ 65
258
+ 00:05:46,140 --> 00:05:51,680
259
+ ุงู„ุนู…ู„ูŠุฉ ูŠุตูู‡ุง ุจุฃู†ู‡ุง ุงู„ุนู…ู„ูŠุฉ ุงู„ุฏูŠู…ู‚ุฑุงุทูŠุฉ ูŠุนู†ูŠ ูˆุตูู‡ุง
260
+
261
+ 66
262
+ 00:05:51,680 --> 00:05:56,140
263
+ ุนู…ู„ูŠุฉ ุฏูŠู…ู‚ุฑุงุทูŠุฉ ูŠุชู… ุงู„ุฎู„ุงู„ู‡ุง ุงู„ุชุนุฑู ุนู„ู‰ ุขุฑุงุก ุฃูุฑุงุฏ
264
+
265
+ 67
266
+ 00:05:56,140 --> 00:06:01,060
267
+ ุงู„ู…ุฌุชู…ุน ูˆุงู„ุชู†ุณูŠู‚ ููŠู…ุง ุจูŠู†ู‡ุง ูˆุจูŠู† ู…ุง ุชู‚ูˆู… ุจู‡
268
+
269
+ 68
270
+ 00:06:01,060 --> 00:06:06,320
271
+ ุงู„ู…ู†ุธู…ุงุช ู…ู† ุงู„ุฎุฏู…ุงุช ู‡ุฐุง ู‡ูˆ ุชุนุฑูŠู lendman ูŠุนู†ูŠ
272
+
273
+ 69
274
+ 00:06:06,320 --> 00:06:12,790
275
+ ุชุนุฑูŠู ู…ุจุณุทูˆุชุนุฑูŠู ูŠุฌุชู…ุน ุนู„ู‰ ูˆุตู ู„ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ุจุญูŠุซ
276
+
277
+ 70
278
+ 00:06:12,790 --> 00:06:17,230
279
+ ุฃู†ู‡ุง ู„ูŠุณุช ุทุฑูŠู‚ุฉ ุจู„ ู‡ูŠ ุนู…ู„ูŠุฉ ุฏูŠู…ู‚ุฑุงุทูŠุฉ ูŠุชู… ู…ู†
280
+
281
+ 71
282
+ 00:06:17,230 --> 00:06:21,770
283
+ ุฎู„ุงู„ู‡ุง ุงู„ุชุนุฑู ุนู„ู‰ ู‡ุฑุงุก ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ูˆุงู„ุชู†ุณูŠู‚ ููŠู…ุง
284
+
285
+ 72
286
+ 00:06:21,770 --> 00:06:26,030
287
+ ุจูŠู†ู‡ุง ูˆุจูŠู† ู…ุง ุชู‚ูˆู… ุจู‡ ุงู„ู…ุฑุธู…ุงุช ู…ู† ู‚ุฏู…ู‡ุง ุทูŠุจ ู‡ู†ุง
288
+
289
+ 73
290
+ 00:06:26,030 --> 00:06:31,330
291
+ ุจุฑูƒุฒ ุนู„ู‰ ู…ุงุฐุง ู„ุฏู…ู†ุŸ ุจุฑูƒุฒ ุนู„ู‰ ุฌูˆุงู†ุจ ููŠ ุชู†ุธูŠู…
292
+
293
+ 74
294
+ 00:06:31,330 --> 00:06:37,680
295
+ ุงู„ู…ุฌุชู…ุน ุฃูˆู„ุง ู„ู… ูŠู‚ูˆู„ ุจุฃู†ู‡ุง ุนู…ู„ูŠุฉูˆู„ูƒู† ูˆุตูู‡ุง ุจุฃู†ู‡ุง
296
+
297
+ 75
298
+ 00:06:37,680 --> 00:06:41,880
299
+ ุนููˆุง ู„ู… ูŠูƒู† ุจูŠู†ู‡ุง ู‚ุฑูŠุจุฉ ูˆู„ูƒู† ู‚ุงู„ ุนู†ู‡ุง ุจุฃู†ู‡ุง ุนู…ู„ูŠุฉ
300
+
301
+ 76
302
+ 00:06:41,880 --> 00:06:46,300
303
+ ูˆู‡ุฐุง ูŠูุฃุฎุฐ ุนู„ูŠู‡ ุทุจุนุง ุชุฃูƒูŠุฏ ู„ุง ูŠูุฃุฎุฐ ุจุญูƒู… ุฃู†ู‡ ุจุนุฑู
304
+
305
+ 77
306
+ 00:06:46,300 --> 00:06:52,460
307
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ูˆู‚ุชู‡ุง ููŠ ุจุฏุงูŠุฉ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ุทุจุนุง
308
+
309
+ 78
310
+ 00:06:52,460 --> 00:06:55,860
311
+ ุงู„ุฌุงู†ุจ ุงู„ุฃูˆู„ ู‡ู†ุง ููŠ ู‡ุฐุง ุงู„ุชุนุฑูŠู ุจุงุญุชุฑุงู… ุงู„ุฃุฑุงุก
312
+
313
+ 79
314
+ 00:06:55,860 --> 00:06:59,620
315
+ ุงู„ู„ูŠ ู‡ูŠ ุนู„ู‰ ุฃุณุงุณ ุนู…ู„ูŠุฉ ุฏูŠู…ู‚ุฑุงุทูŠุฉ ุจุงุญุชุฑุงู… ุงู„ุฃุฑุงุก ูˆ
316
+
317
+ 80
318
+ 00:06:59,620 --> 00:07:06,910
319
+ ุชู‚ุฏูŠุฑู‡ุง ู„ู„ุฌุงู†ุจ ุงู„ุฏูŠู…ู‚ุฑุงุทูŠ ูˆุงุถุญุŸุงู„ุฌุงู†ุจ ุงู„ุซุงู†ูŠ ุจุชุฑูƒุฒ
320
+
321
+ 81
322
+ 00:07:06,910 --> 00:07:11,490
323
+ ุนู„ูŠู‡ ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ู„ู†ุฏู…ุงู† ููŠ ุชุนุฑูŠูู‡ ุจุชู†ุงูˆู„ ุงู„ุขุฑุงุก
324
+
325
+ 82
326
+ 00:07:11,490 --> 00:07:16,390
327
+ ุจูŠู† ุงู„ู…ุฌุชู…ุน ูˆุงู„ู…ุคุณุณุงุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌุงู†ุจ ุงู„ุชู†ุณูŠู‚ูŠ
328
+
329
+ 83
330
+ 00:07:16,390 --> 00:07:20,130
331
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู…ุฌุชู…ุน ูˆุงู„ู…ุคุณุณุงุช ูˆู‡ุฐู‡ ุงู„ุนู„ุงู‚ุฉ ุจุชูƒูˆู†
332
+
333
+ 84
334
+ 00:07:20,130 --> 00:07:27,570
335
+ ุนู„ุงู‚ุฉ ุชู†ุณูŠู‚ูŠุฉ ูุฅุฐุง ู‡ู†ุง ุจุฑูƒุฒู„ู†ุง ุนู„ูŠู‡ุง ุฃูŠุถุง ููŠ ุนู†ุฏู†ุง
336
+
337
+ 85
338
+ 00:07:27,570 --> 00:07:32,510
339
+ ููŠ ุชุนุฑูŠู ู„ู†ุฏู…ุงู† ูŠุนู†ูŠ ุฌูˆุงู†ุจ ุถุนู ูˆุฌูˆุงู†ุจ ู‚ูˆุฉ ูู‡ู†ุดูˆู
340
+
341
+ 86
342
+ 00:07:32,510 --> 00:07:38,080
343
+ ุฌูˆุงู†ุจ ุงู„ุถุนูุงู„ู„ูŠ ู‡ูŠ ุฌูˆุงู†ุจ ุงู„ุถุนู ููŠ ุงู„ุชุนุฑูŠู ุทุจุนุง ู„ูˆ
344
+
345
+ 87
346
+ 00:07:38,080 --> 00:07:43,780
347
+ ู„ุงุญุธู†ุง ุชุนุฑูŠู ู„ู†ุฏู…ุงู† ุจูŠู„ู„ุงุญุธ ุฃู†ู‡ ุฃุบูู„ ุทุฑูŠู‚ุฉ ู…ูู‡ูˆู…
348
+
349
+ 88
350
+ 00:07:43,780 --> 00:07:47,260
351
+ ุงู„ุทุฑูŠู‚ุฉ ุนู„ู‰ ุฃุณุงุณ ู…ุงุฌุงู„ุด ุฃู†ู‡ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ู…ู†
352
+
353
+ 89
354
+ 00:07:47,260 --> 00:07:51,600
355
+ ุธุฑูˆู ุงู„ูุฏู…ุงู† ุงู„ุงุฌุชู…ุงุนูŠ ูˆู„ุฐู„ูƒ ู‡ู†ุง ุฃุบูู„ ุงู„ ุฅูŠู‡ุŸ
356
+
357
+ 90
358
+ 00:07:51,600 --> 00:07:57,780
359
+ ุงู„ู…ุงู‡ูŠุฉ ุงู„ู…ุงู‡ูŠุฉ ุงู„ู…ุงู‡ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุทุฑูŠู‚ุฉ ู…ุงู‡ูŠุฉ
360
+
361
+ 91
362
+ 00:07:57,780 --> 00:08:02,650
363
+ ุงู„ุนู„ู… ุงู„ู„ูŠ ู‡ูŠ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ุงุฌุงู„ุด ุนู†ู‡ุง ุทุฑูŠู‚ุฉูู‚ุงู„
364
+
365
+ 92
366
+ 00:08:02,650 --> 00:08:08,130
367
+ ุนู†ู‡ุง ุนู…ู„ูŠุฉ ูู‡ุฐุง ู„ูƒู† ู‡ู†ุง ู‡ุฐุง ุฌุงู†ุจ ุทุนุงู… ูˆู„ูƒู† ู‡ู†ุง
368
+
369
+ 93
370
+ 00:08:08,130 --> 00:08:13,850
371
+ ุงุญู†ุง ู†ุจุฏูŠ ุนุฐุฑ ุจุญูƒู… ุงู† ู‡ุฐู‡ ู…ุฑุญู„ุฉ ุชู†ุณูŠู‚ูŠุฉ ูˆุงุถุญุฉ ูˆู‡ุฐุง
372
+
373
+ 94
374
+ 00:08:13,850 --> 00:08:17,950
375
+ ุจูŠุฑุฌุน ุฅู„ู‰ ุนุฏู… ุงุฒุฏู‡ุงุฑ ุงู„ุทุฑูŠู‚ุฉ ููŠ ุฐู„ูƒ ุงู„ูˆู‚ุช ุงู„ู„ูŠ ู‡ูˆ
376
+
377
+ 95
378
+ 00:08:17,950 --> 00:08:23,270
379
+ ุนุงู… 1920 ู„ู…ุง ุฐูƒุฑ ุงู„ุชุนู„ูŠู‚ ูƒุงู†ุช ุทุจุนุง ููŠ ู‡ุฐุง ุงู„ูˆู‚ุช
380
+
381
+ 96
382
+ 00:08:23,270 --> 00:08:27,320
383
+ ู…ูŠู† ุงู„ู„ูŠ ูƒุงู†ุช ู…ู† ุงู„ุทุฑู‚ ุงู„ุจุงุฑุฒุฉ ุนู†ุฏู†ุงุฎุฏู…ุฉ ุงู„ูุฑุฏ
384
+
385
+ 97
386
+ 00:08:27,320 --> 00:08:32,240
387
+ ู„ุฃู†ู‡ ู…ู† ุฃูŠุงู… Mary Richmond ุณู†ุฉ 1917 ูˆุถุนุช ุฃุณุณ
388
+
389
+ 98
390
+ 00:08:32,240 --> 00:08:36,260
391
+ ู„ุทุฑูŠู‚ุฉ ุฎุฏู…ุฉ ุงู„ูุฑุฏ ูˆูƒุงู† ู…ุนุชุฑู ุจูŠู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุทุฑูŠู‚ุฉ
392
+
393
+ 99
394
+ 00:08:36,260 --> 00:08:40,940
395
+ ุฎุฏู…ุฉ ุงู„ูุฑุฏ ููƒุงู†ุช ุทุฑูŠู‚ุฉ ุฑุงุฆุฌุฉ ุนู„ู‰ ูŠุฏุฑูŠ Mary
396
+
397
+ 100
398
+ 00:08:40,940 --> 00:08:46,060
399
+ Richmond ูุญุฏุฏุช ุงู„ุนูˆุงู…ู„ ุงู„ูุฑุฏูŠุฉ ูƒุนุงู…ู„ ุงู„ูุฑุฏูŠ ู‡ูˆ
400
+
401
+ 101
402
+ 00:08:46,060 --> 00:08:49,780
403
+ ุงู„ุณุจุจ ููŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉูˆู„ู… ูŠุธู‡ุฑ ููŠ ุชู„ูƒ
404
+
405
+ 102
406
+ 00:08:49,780 --> 00:08:52,700
407
+ ุงู„ู…ุฑุญู„ุฉ ู„ุฃู† ุงู„ู…ุฌุชู…ุน ู‡ูˆ ุงู„ุณุจุจ ููŠ ุงู„ู…ุดูƒู„ุงุช ูƒุงู†ูˆุง
408
+
409
+ 103
410
+ 00:08:52,700 --> 00:08:58,040
411
+ ุจูŠุฑูƒุฒูˆุง ุนู„ู‰ ุงู„ูุฑุฏ ู„ุฃู† ุงู„ูุฑุฏ ู‡ูˆ ุงู„ุณุจุจ ููŠ ุงู„ู…ุดูƒู„ุงุช
412
+
413
+ 104
414
+ 00:08:58,040 --> 00:09:02,100
415
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู…ุง ูŠู†ุชุฌ ู…ู† ุงู„ู…ุดูƒู„ุงุช ุณุจุจู‡ุง ู…ู† ุงู„ูุฑุฏ
416
+
417
+ 105
418
+ 00:09:02,100 --> 00:09:07,640
419
+ ูˆู„ูŠุณ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ูƒุงู†ูˆุง ุจูŠุฑูƒุฒูˆุง ุนู„ู‰ ุงู„ูุฑุฏ
420
+
421
+ 106
422
+ 00:09:07,640 --> 00:09:11,460
423
+ ุจุงุนุชุจุงุฑู‡ ู‡ูˆ ุงู„ุณุจุจ ุงู„ุฑุฆูŠุณูŠ ููŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
424
+
425
+ 107
426
+ 00:09:11,460 --> 00:09:15,710
427
+ ูˆู„ูŠุณุช ุงู„ุนูˆุงู…ู„ุงู„ู…ุฌุชู…ุนูŠุฉ ู‡ูŠ ุงู„ุณุจุจ ุทุจุนุง ู‡ุฐุง ุงู„ุฑุฃูŠ ูƒุงู†
428
+
429
+ 108
430
+ 00:09:15,710 --> 00:09:19,270
431
+ ูŠุชู†ุงุณุจ ู…ุน ุงู„ุณูŠุงุณุฉ ุงู„ุนุงู…ุฉ ููŠ ุงู„ู…ุฌุชู…ุน ู…ุน ุงู„ู†ุธุงู…
432
+
433
+ 109
434
+ 00:09:19,270 --> 00:09:23,050
435
+ ุงู„ุณูŠุงุณูŠ ุญุชู‰ ููŠ ุงู„ู…ุฌุชู…ุน ุจุฃู† ุงู„ูุฑุฏ ู‡ูˆ ุงู„ู…ุณุคูˆู„ ุนู†
436
+
437
+ 110
438
+ 00:09:23,050 --> 00:09:27,330
439
+ ู…ุดูƒู„ุงุชู‡ ูุงู„ู†ุธุงู… ุงู„ุณูŠุงุณูŠ ูƒุงู† ู…ุชูˆุงูู‚ ููŠ ุงู„ุฏูˆู„
440
+
441
+ 111
442
+ 00:09:27,330 --> 00:09:31,110
443
+ ุงู„ุฃูˆุฑูˆุจูŠุฉ ุนู„ู‰ ุฃู† ุงู„ูุฑุฏ ู‡ูˆ ุงู„ุณุจุจ ููŠู‡ ุงู„ู„ูŠ ู‡ูŠ
444
+
445
+ 112
446
+ 00:09:31,110 --> 00:09:35,910
447
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุนูŠุฉ ูˆุงู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ุธู‡ุฑุช ุทุฑูŠู‚ุฉ ุฎุฏู…ุฉ
448
+
449
+ 113
450
+ 00:09:35,910 --> 00:09:40,690
451
+ ุงู„ูุฑุฏ ูˆู‡ุฐุง ุฃุฏู‰ ุฅู„ู‰ ุชุฃุฎุฑ ุฏุฎูˆุฑ ุทุฑูŠู‚ุฉ ุฅูŠู‡ ุชู†ุธูŠู…
452
+
453
+ 114
454
+ 00:09:40,690 --> 00:09:41,350
455
+ ุงู„ู…ุฌุชู…ุน
456
+
457
+ 115
458
+ 00:09:43,960 --> 00:09:49,380
459
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ููŠ ุงู„ุฃุฑุจุนูŠู†ุงุช ุทุจุนุง ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ู…ู†
460
+
461
+ 116
462
+ 00:09:49,380 --> 00:09:53,420
463
+ ุฌูˆุงู†ุจ ุงู„ุถุนู ุงู„ุชุนุฑูŠู Landman ุงู„ู„ูŠ ู‡ูŠ ู„ู… ูŠุญุฏุฏ
464
+
465
+ 117
466
+ 00:09:53,420 --> 00:09:58,180
467
+ ุงู„ู…ู…ุงุฑุณูŠู† ู…ูŠู† ู‡ู… ุงู„ุฐูŠู† ูŠู…ุงุฑุณูˆู† ุงู„ู…ู‡ู†ุฉ ุงู„ุฐูŠู†
468
+
469
+ 118
470
+ 00:09:58,180 --> 00:10:03,120
471
+ ูŠู…ุงุฑุณูˆู† ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู„ู… ูŠุญุฏุฏ ููŠ ุชุนุฑูŠูู‡ ู„ู…
472
+
473
+ 119
474
+ 00:10:03,120 --> 00:10:08,580
475
+ ูŠุจูŠู† ูู„ุฐู„ูƒ ุงู†ุง ุงู‚ูู„ ุงู„ ุงูŠู‡ ุงู„ ูƒูŠููŠุฉ ูƒูŠููŠุฉ ุงู„ุนู…ู„
476
+
477
+ 120
478
+ 00:10:08,580 --> 00:10:13,370
479
+ ุงู„ุทุฑูŠู‚ุฉ ูƒูŠููŠุฉ ู…ู…ุงุฑุณุฉ ุงู„ุทุฑูŠู‚ุฉูู„ุฐู„ูƒ ู‡ู†ุง ู„ู… ูŠุญุฏุฏ
480
+
481
+ 121
482
+ 00:10:13,370 --> 00:10:17,330
483
+ ุงู„ู…ู…ุงุฑุณูŠู† ู„ู„ุทุฑูŠู‚ุฉ ูˆู‡ุฐุง ูŠุฏู„ ุฃูŠุถู‹ุง ุนู„ู‰ ุนุฏู… ูˆุฌูˆุฏ
484
+
485
+ 122
486
+ 00:10:17,330 --> 00:10:23,790
487
+ ุฅุนุฏุงุฏ ู…ุชุฎุตุตูŠู† ู„ู…ู…ุงุฑุณุฉ ุงู„ุทุฑูŠู‚ุฉ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุดุชุฑูƒุฉ
488
+
489
+ 123
490
+ 00:10:23,790 --> 00:10:29,690
491
+ ู‡ุฐู‡ ุฌูˆุงู†ุจ ุฅูŠู‡ ุจู†ุนุชุจุฑู‡ุงุŸ ุฌูˆุงู†ุจ ุถุนู ุงู„ู„ูŠ ู‡ูˆ ุจุงูŠู†ุฉ ููŠ
492
+
493
+ 124
494
+ 00:10:29,690 --> 00:10:35,970
495
+ ุชุนุฑูŠู ู„ู†ุง ููŠ ุฌูˆุงู†ุจ ุงู„ู‚ูˆุฉ ุงู„ุฌูˆุงู†ุจ ุงู„ู‚ูˆุฉ ุฃูŠุถู‹ุง ุญุฏุฏ
496
+
497
+ 125
498
+ 00:10:35,970 --> 00:10:41,150
499
+ ุทุจุนู‹ุง ุงู„ุฃู‡ุฏุงู ุญุฏุฏ ุงู„ุฃู‡ุฏุงู ุงู„ู„ูŠ ู‡ูŠ ู‡ู†ุง
500
+
501
+ 126
502
+ 00:10:46,070 --> 00:10:51,830
503
+ ุงู„ู…ุญุชูˆู‰ ุงู„ู„ูŠ ู…ู† ุฎู„ุงู„ ุงู„ุนู…ู„ ุงู„ุฏูŠู…ู‚ุฑุงุทูŠ ูู‡ู†ุง ุจูŠุฏุฑุณ
504
+
505
+ 127
506
+ 00:10:51,830 --> 00:10:57,770
507
+ ุฑุฃูŠ ุงู„ู…ุฌุชู…ุน ูˆุจุญุฏุฏ ู…ุญุชูˆู‰ ุงู„ุฃุฑุงุก ู‡ุฐู‡ ู†ุงุญูŠุฉ ุซุงู†ูŠุฉ
508
+
509
+ 128
510
+ 00:10:57,770 --> 00:11:03,530
511
+ ุฃุจุฑุฒ ุฃู‡ู…ูŠุฉ ุงู„ุชู†ุณูŠู‚ ู…ุง ุจูŠู† ุงู„ู…ุคุณุณุงุช ูˆุญุงุฌุงุช ุฃู‡ุงู„ูŠ
512
+
513
+ 129
514
+ 00:11:03,530 --> 00:11:08,190
515
+ ุงู„ู…ุฌุชู…ุน ุนู† ุทุฑูŠู‚ ุงู„ุชู†ุณูŠู‚ ู‡ุฐุง ูƒุงู† ุฌูˆุงู† ุงู„ู‚ูˆุฉ ููŠ
516
+
517
+ 130
518
+ 00:11:08,190 --> 00:11:12,810
519
+ ุชุนุฑูŠูู‡ ู‡ุฐุง
520
+
521
+ 131
522
+ 00:11:12,810 --> 00:11:16,860
523
+ ู‡ูˆ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ู‡ูˆ
524
+
525
+ 132
526
+ 00:11:16,860 --> 00:11:21,820
527
+ ุจุนุจู‘ุฑ ู„ู†ุง ุนู† ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูู‡ุฐุง ู‡ูˆ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„
528
+
529
+ 133
530
+ 00:11:21,820 --> 00:11:27,760
531
+ ุงู„ุขู† ุจุชุฐูƒุฑูƒู… ูŠุนู†ูŠ ุชุนุฑูŠูุงุช ู…ุชุฃุฎุฑุฉ ุนู†ุฏ ุงู„ุฃุฌุงู†ุจ ููŠ
532
+
533
+ 134
534
+ 00:11:27,760 --> 00:11:32,640
535
+ ุชุนุฑูŠู ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ ุชุนุฑูŠู ุงู„ู€ New Setter
536
+
537
+ 135
538
+ 00:11:32,640 --> 00:11:38,360
539
+ ูŠุนู†ูŠ ู‡ุฐุง ูƒุงู† ุชุนุฑูŠู ูŠุนู†ูŠ ุจุนุฏ ู„ู†ุฏู…ุงู† ู„ู†ุฏู…ุงู† ููŠ 1920
540
+
541
+ 136
542
+ 00:11:38,360 --> 00:11:45,340
543
+ ู‡ุฐุง ุชุนุฑูŠูููŠ ุนุงู… 1949 ูŠุนู†ูŠ ุจุนุฏ 29 ุณู†ุฉ ูˆุงุถุญุŸ ุจุฏู†ุง
544
+
545
+ 137
546
+ 00:11:45,340 --> 00:11:50,420
547
+ ู†ุดูˆู ุฅูŠุด ุชุนุฑูŠูู†ุง ุทุจุนุง ู„ู…ุง ู†ู‚ูˆู„ 49 ุฅุฐุง ุฃู† ุชู†ุธูŠู…
548
+
549
+ 138
550
+ 00:11:50,420 --> 00:11:57,980
551
+ ุงู„ู…ุฌุชู…ุน ูŠุนู†ูŠ 49 ูƒุงู† ู…ุนุชุฑู ุจูŠู‡ุง ุนู…ุฑู‡ 946 ูู„ุฐู„ูƒ
552
+
553
+ 139
554
+ 00:11:57,980 --> 00:12:01,720
555
+ ู‡ู†ู‚ุฑุฃ ุงู„ุชุนุฑูŠู ูˆ ู‡ู†ุดูˆู ุฅูŠุด ุฌูˆุงู†ุจ ุงู„ู‚ูˆุฉ ูˆุงู„ุถุนู ููŠ
556
+
557
+ 140
558
+ 00:12:01,720 --> 00:12:05,960
559
+ ู‡ุฐุง ุงู„ุชุนุฑูŠู ุจุฏูŠ ุทุงู„ุจุฉ ุชู‚ุฑุฃ ู„ูŠู‡ุง ุงู„ุชุนุฑูŠู ุงู‚ุฑุฃ ูŠุง
560
+
561
+ 141
562
+ 00:12:05,960 --> 00:12:10,620
563
+ ุจู†ุชูŠูุนุฑู ู…ุฌุชู…ุน ุงู„ู…ุฌุชู…ุน ุจุฃู†ู‡ ุงู„ุนู…ู„ูŠุฉ ุงู„ุชูŠ ุชู…ุงุฑุณ ..
564
+
565
+ 142
566
+ 00:12:10,620 --> 00:12:14,220
567
+ ุชู…ุงุฑุณ ู…ุง ุจูŠู† ุงู„ุฌู…ุงุนุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู„ุนู…ู„ ุนู„ู‰ ู…ู‚ุงุจู„ุฉ
568
+
569
+ 143
570
+ 00:12:14,220 --> 00:12:17,540
571
+ ุงุญุชูŠุงุฌุงุชู‡ุง ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงุญุชูŠุงุฌุงุช ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ุท ุจู‡ุง
572
+
573
+ 144
574
+ 00:12:17,540 --> 00:12:21,700
575
+ ู…ู† ุฎู„ุงู„ ู…ู…ุซู„ูˆู‡ุง ุฏูŠ ุงู„ุฌู…ุงุนุฉุŸ ูƒูˆูŠุณ ูŠุนู†ูŠ ู‡ู†ุง ุฑูƒุฒ ุนู„ู‰
576
+
577
+ 145
578
+ 00:12:21,700 --> 00:12:25,080
579
+ ุงู„ุนู…ู„ ุจูŠู† ุงู„ุฌู…ุงุนุงุช ุนู„ู‰ ุฃุณุงุณ ุฌุงู„ ุจุงู†ุทูŠุจ ุงู„ู…ุฌุชู…ุน
580
+
581
+ 146
582
+ 00:12:25,080 --> 00:12:30,400
583
+ ุนู…ู„ูŠุฉ ู„ูƒู† ู…ุง ุฐูƒุฑ ุงู†ู‡ุง ุทุฑูŠู‚ุฉ ูุฌุงู„ ุนู…ู„ูŠุฉ ุชู…ุงุฑุณ ุจูŠู†
584
+
585
+ 147
586
+ 00:12:30,400 --> 00:12:34,060
587
+ ุงู„ุฌู…ุงุนุงุช ูู‡ู†ุง ุฑูƒุฒ ุนู„ู‰ .. ู„ุฅู† ูƒุงู†ุช ู…ุงุฑุณุฉ ุทุฑูŠู‚ุฉ
588
+
589
+ 148
590
+ 00:12:34,060 --> 00:12:38,180
591
+ ุงู„ุนู…ู„ ุจูŠู† ุงู„ุฌู…ุงุนุงุช ููŠ ุชู„ูƒ ุงู„ู…ุฑุญู„ุฉู„ู„ุนู…ู„ ุนู„ู‰ ู…ู‚ุงุจู„ุฉ
592
+
593
+ 149
594
+ 00:12:38,180 --> 00:12:41,640
595
+ ุงุญุชูŠุงุฌุงุชู‡ุง ุทุจุนุง ุงุญุชูŠุงุฌุงุช ู‡ุฐู‡ ุงู„ุฌู…ุงุนุงุช ูˆุงุญุชูŠุงุฌุงุช
596
+
597
+ 150
598
+ 00:12:41,640 --> 00:12:45,640
599
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญูŠุท ุจู‡ุง ู…ู† ุฎู„ุงู„ ู…ู…ุซู„ูˆู‡ุง ู‡ุฐู‡ ุงู„ุฌู…ุงุนุงุช
600
+
601
+ 151
602
+ 00:12:45,640 --> 00:12:49,840
603
+ ู‡ุฐุง ู‡ูˆ ุงู„ุชุนุฑูŠู ุงู„ู€ Necessitarian ู‡ุฐุง ุงู„ุชุนุฑูŠู ุทุจุนุง
604
+
605
+ 152
606
+ 00:12:49,840 --> 00:12:55,000
607
+ ุธู‡ุฑ ุจุนุฏ ุธู‡ูˆุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนุงู… 1946
608
+
609
+ 153
610
+ 00:12:55,000 --> 00:13:04,760
611
+ ูˆุงู„ุงุนุชุฑุงู ุจูŠู‡ ูˆู„ุฐู„ูƒ ูŠุนู†ูŠ ูŠู…ุซู„ ุงูŠุถุง ู…ุฑุญู„ุฉ ู…ู† ู…ุฑุงุญู„
612
+
613
+ 154
614
+ 00:13:04,760 --> 00:13:08,510
615
+ ุงู„ุชู†ุณูŠุจูˆุจูŠุนูƒุณ ุงู„ูุชุฑุฉ ุงู„ุชุงุฑูŠุฎูŠุฉ ุงู„ู„ูŠ ุจุชู…ุฑ ุจูŠู‡ุง
616
+
617
+ 155
618
+ 00:13:08,510 --> 00:13:14,930
619
+ ุงู„ุทุฑูŠู‚ุฉ ูˆู‡ูŠ ุงุฒุฏู‡ุงุฑ ุทุฑูŠู‚ุฉ ุงู„ุนู…ู„ ุจูŠู† ุงู„ุฌู…ุงุนุงุช ูˆุงุถุญ
620
+
621
+ 156
622
+ 00:13:14,930 --> 00:13:19,210
623
+ ุฅุฐู†ุŸ ุงู„ุฃูˆู„ ุฎุฏู…ุฉ ุงู„ูุฑู‚ ุซู… ุจุนุฏ ุฐู„ูƒ ุงู„ุนู…ู„ ุจูŠู†
624
+
625
+ 157
626
+ 00:13:19,210 --> 00:13:23,870
627
+ ุงู„ุฌู…ุงุนุงุช ูˆุฃุฎูŠุฑุง ุทุฑูŠู‚ุฉ ุถู…ู‡ูŠู… ุงู„ู…ุฌุชู…ุน ุจุฏุง ู†ุดูˆู ู…ูˆุงุญู„
628
+
629
+ 158
630
+ 00:13:23,870 --> 00:13:29,090
631
+ ุงู„ู‚ูˆุฉ ููŠ ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ุฐูƒุฑู†ุงู‡ ูˆุฐูƒุฑุชู‡ ู…ุง ู‡ูŠ ุฌูˆุงู†ุจ
632
+
633
+ 159
634
+ 00:13:29,090 --> 00:13:34,490
635
+ ุงู„ู‚ูˆุฉ ููŠ ุชุนุฑูŠู ุงู„ู€ Neostatic ููŠ ุนู†ุฏู†ุง ุนุฏุฏ ู…ู† ุฌูˆุงู†ุจ
636
+
637
+ 160
638
+ 00:13:34,490 --> 00:13:42,190
639
+ ุงู„ู‚ูˆุฉุฃูˆู„ุงู‹ ุฃุจุฑุฒ ู‡ุฐุง ุงู„ุชุนุฑูŠู ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃู‡ุฏุงูุŒ ุฃู‡ุฏุงู
640
+
641
+ 161
642
+ 00:13:42,190 --> 00:13:46,230
643
+ ุงู„ุฌุงู…ุนุงุช ูˆ ุฃู‡ุฏุงู ุงู„ุทุฑูŠู‚ุฉุŒ ุฑุจุท ู…ุง ุจูŠู† ุฃู‡ุฏุงู
644
+
645
+ 162
646
+ 00:13:46,230 --> 00:13:51,310
647
+ ุงู„ุฌุงู…ุนุงุช ูˆ ุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญูŠุท ุจู‡ุฐู‡ ุงู„ุฌุงู…ุนุงุชุŒ ุฅุฐู†
648
+
649
+ 163
650
+ 00:13:51,310 --> 00:13:55,450
651
+ ู‡ู†ุง ุฑุจุท ู…ุง ุจูŠู† ุฃู‡ุฏุงู ุงู„ุฌุงู…ุนุงุช ูˆ ุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุนุŒ
652
+
653
+ 164
654
+ 00:13:55,450 --> 00:13:59,730
655
+ ุฃูŠุถุงู‹ูˆู‡ุฐุง ุทุจุนุง ู„ู…ุง ู†ู‚ูˆู„ ุฑุจุท ุจูŠู† ุฃู‡ุฏุงู ุงู„ุฌู…ุงุนุงุช
656
+
657
+ 165
658
+ 00:13:59,730 --> 00:14:04,210
659
+ ูˆุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน ููŠ ู‡ุฐู‡ ู†ูˆุน ู…ู† ุงู„ุชู†ุณูŠุท ุจุฑุถู‡ ุจู…ุซู„
660
+
661
+ 166
662
+ 00:14:04,210 --> 00:14:10,610
663
+ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠุท ูˆู‡ู†ุง ูŠูˆุถุญ ูˆูŠุณุชุทุฑ ุฃู‡ู…ูŠุฉ ุงู„ุงุฑุชุจุงุท
664
+
665
+ 167
666
+ 00:14:10,610 --> 00:14:15,770
667
+ ุจุธุฑูˆู ุงู„ู…ุฌุชู…ุน ูˆุฅู…ูƒุงู†ุงุชู‡ ุนู†ุฏ ุฅุดุจุงุญ ุงุญุชูŠุงุฌุงุช ุฃูุฑุงุฏู‡
668
+
669
+ 168
670
+ 00:14:15,770 --> 00:14:20,310
671
+ ูˆุฌู…ุงุนุงุชู‡ ู‡ุฐู‡ ุงู„ู†ุญูŠุฉ ุงู„ุฃูˆู„ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฑุจุท ุจูŠู†
672
+
673
+ 169
674
+ 00:14:20,310 --> 00:14:24,570
675
+ ุงู„ุฌู…ุงุนุงุช ูˆุฌู…ุงุนุฉ .. ุจูŠู† ุงู„ู…ุฌุชู…ุน ูˆุฌู…ุงุนุงุชู‡ ุนู† ุทุฑูŠู‚
676
+
677
+ 170
678
+ 00:14:24,570 --> 00:14:27,820
679
+ ุงู„ุชู†ุณูŠุทุงู„ู†ูˆุงุญูŠ ุงู„ู‚ูˆุฉ ุงู„ุซุงู†ูŠุฉุŒ ุงู„ู†ุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ู…ู†
680
+
681
+ 171
682
+ 00:14:27,820 --> 00:14:32,760
683
+ ู†ูˆุงุญูŠ ุงู„ู‚ูˆุฉ ุฅู†ู‡ ุฃูƒุฏ ุนู„ู‰ ุฃู‡ู…ูŠุฉ ูˆุฌูˆุฏ ู…ู…ุซู„ูŠู† ู„ู„ุฌู…ุงุนุงุช
684
+
685
+ 172
686
+ 00:14:32,760 --> 00:14:39,380
687
+ ูˆุทุจุนุง ู‡ุคู„ุงุก ุงู„ู…ู…ุซู„ูŠู† ุจูŠูƒูˆู†ูˆุง ุนู„ุงู‚ุฉ ุจุตุฑุฉ ู…ุง ุจูŠู†
688
+
689
+ 173
690
+ 00:14:39,380 --> 00:14:44,640
691
+ ุงู„ุฌู…ุงุนุงุช ูˆู…ุง ุจูŠู† ุงู„ู…ุฌุชู…ุนูŠู† ูŠู†ู‚ู„ูˆู†ุง ุฃุฑุงุก ุงู„ุฌู…ุงุนุงุช
692
+
693
+ 174
694
+ 00:14:44,640 --> 00:14:49,360
695
+ ุฅู„ู‰ ุงู„ู…ุฌุชู…ุน ูˆูŠู†ู‚ู„ูˆู†ุง ุฃุฑุงุก ุงู„ู…ุฌุชู…ุน ุฅู„ู‰ ุฌู…ุงุนุงุชู‡
696
+
697
+ 175
698
+ 00:14:49,360 --> 00:14:54,040
699
+ ูู„ุฐู„ูƒ ู‡ู†ุง ุจูŠุจู‚ู‰ ุฏูˆุฑ ุงู„ุฃูŠู‡ุŸ ุงู„ุจุณูŠุทุŒ ุฏูˆุฑ ุงู„ุจุณูŠุทุŒ
700
+
701
+ 176
702
+ 00:14:54,040 --> 00:14:58,200
703
+ ูŠุนู†ูŠ ููŠ ุฏูˆุฑ ุชู†ุณูŠู‚ูŠุจุฏูˆุฑ ุงู„ู€ A ุงู„ูˆุตูŠู ู…ุง ุจูŠู† ุงู„ู…ุฌุชู…ุน
704
+
705
+ 177
706
+ 00:14:58,200 --> 00:15:03,460
707
+ ูˆุงู„ุฌู…ุงุนุฉุŒ ูˆุงุถุญุŸ ูู‡ูŠ ู†ูˆุงุญูŠ ุงู„ู‚ูˆุฉ ุฃูŠุถุง ููŠ ุชุนุฑูŠู
708
+
709
+ 178
710
+ 00:15:03,460 --> 00:15:11,570
711
+ ุงู„ูˆุณุชุฉ ููŠ ู†ุงุญูŠุฉ ุซุงู„ุซุฉุŒ ู†ูˆุงุญูŠ ุงู„ู‚ูˆุฉุฅู†ู‡ ุฃุจุฑุฒ ุฅู†
712
+
713
+ 179
714
+ 00:15:11,570 --> 00:15:15,730
715
+ ุนู…ู„ูŠุฉ ุงู„ุชู†ุณูŠู‚ ููŠ ุดูƒู„ ุนู„ู…ูŠ ู…ุชูƒุงู…ู„ ุชุธู‡ุฑ ู…ู† ุฎู„ุงู„ู‡ุง
716
+
717
+ 180
718
+ 00:15:15,730 --> 00:15:21,250
719
+ ุฃู‡ู…ูŠุฉ ุงู„ุชุนุงูˆู† ู…ุง ุจูŠู† ู…ู…ุซู„ูŠ ุงู„ุฌุงู…ุนุงุช ู„ุชุญู‚ูŠู‚ ุงู„ุฃู‡ุฏุงู
720
+
721
+ 181
722
+ 00:15:21,250 --> 00:15:26,850
723
+ ุงู„ู…ุดุชุฑูƒุฉ ูˆุทุจุนุง ุชุณู‡ูŠู„ ุนู…ู„ูŠุฉ ุชุจุงุฏู„ ุงู„ู…ุนู„ูˆู…ุงุช
724
+
725
+ 182
726
+ 00:15:26,850 --> 00:15:32,690
727
+ ูˆุงู„ุฎุจุฑุงุช ูู„ุฐู„ูƒ ุฃู†ุง ุฃุฑูƒุฒ ุนู„ู‰ ุฅุจุฑุงุฒ ุนู…ู„ูŠุฉ ุงู„ุชู†ุณูŠู‚
728
+
729
+ 183
730
+ 00:15:32,690 --> 00:15:39,710
731
+ ู‡ุฐู‡ ู‡ูŠ ุฌูˆุงู†ุจ ุงู„ู‚ูˆุฉ ููŠ ุงู„ุชุนุฑูŠู ุงู„ุฎุงุต ุจ Newstepper
732
+
733
+ 184
734
+ 00:15:40,070 --> 00:15:43,830
735
+ ูู…ุง ู‡ูŠ ุฌูˆุงู†ุจ ุงู„ุถุนูุŸ ุทุจุนุง ููŠ ุนู†ุฏู†ุง ุฌูˆุงู†ุจ ุถุนู
736
+
737
+ 185
738
+ 00:15:43,830 --> 00:15:48,430
739
+ ู„ู„ุชุนุฑูŠูุŒ ุฌูˆุงู†ุจ ู‚ูˆุฉ ูˆุฌูˆุงู†ุจ ุถุนูุŒ ูู…ุง ู‡ูŠ ุฌูˆุงู†ุจ ุถุนู
740
+
741
+ 186
742
+ 00:15:48,430 --> 00:15:52,590
743
+ ุงู„ุชุนุฑูŠู ู…ู† ุฎู„ุงู„ ู…ุง ู‚ุฑุฃู†ุง ูˆุฌู‡ุฏู†ุง ุนู„ู‰ ุงู„ู„ูˆุญุฉ ุฃูŠ ูˆ ุฃูŠ
744
+
745
+ 187
746
+ 00:15:52,590 --> 00:16:03,110
747
+ ุจู†ุชุŸ ุทุจุนุง
748
+
749
+ 188
750
+ 00:16:03,110 --> 00:16:08,450
751
+ ู„ู… ูŠุจูŠู† ุฑู†ุธู… ุงู„ู…ุฌุชู…ุน ุจูŠู†ู‡ุง ู‚ุฑูŠุจุงุจุงู„ุฑุบู… ู…ู† ุฃู†ู‡ ุชู…
752
+
753
+ 189
754
+ 00:16:08,450 --> 00:16:13,390
755
+ ุงู„ุงุนุชุฑุงู ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนุงู… 1946ุŒ ู‡ูˆ ุฐูƒุฑ
756
+
757
+ 190
758
+ 00:16:13,390 --> 00:16:18,590
759
+ ุงู„ุชุนุฑูŠู ุนุงู… 1949ุŒ
760
+
761
+ 191
762
+ 00:16:18,590 --> 00:16:25,910
763
+ ู„ู… ูŠุญุฏุฏุŒ ู„ุฃ ู„ู… ูŠุญุฏุฏุŒ ู‡ูˆ ุญุฏุฏ ุฅู†ู‡ุง ุนู…ู„ูŠุฉุŒ ุญุฏุฏ ุฅู†ู‡ุง
764
+
765
+ 192
766
+ 00:16:25,910 --> 00:16:31,280
767
+ ุนู…ู„ูŠุฉ ูˆู„ู… ูŠุจูŠู† ุจุฃู†ู‡ุง ุทุฑูŠู‚ุฉุŒ ุงู„ู…ูู‡ูˆู… ูƒุงู† ุชุงู†ูŠู„ู…
768
+
769
+ 193
770
+ 00:16:31,280 --> 00:16:34,600
771
+ ูŠุญุฏุฏ ุจุฃู†ู‡ุง ุทุฑูŠู‚ุฉุŒ ุจุงู„ุฑุบู… ุฃู†ู‡ ุชู… ุงุญุชุฑุงู ุจูŠู‡ุง
772
+
773
+ 194
774
+ 00:16:34,600 --> 00:16:40,080
775
+ ูƒุทุฑูŠู‚ุฉุŒ ูˆู„ูƒู† ู‡ู†ุง ุฐูƒุฑู‡ุง ุจุฃู†ู‡ุง ุชู†ุธูŠู… ู…ุฌุชู…ุน ุนู…ู„ูŠุฉุŒ
776
+
777
+ 195
778
+ 00:16:40,080 --> 00:16:44,540
779
+ ูˆู‡ุฐุง ูŠุนุชุจุฑ ู…ุง ุฃุฎุฏุŒ ู…ุง ุฃุฎุฏ ุนู„ู‰ ุชุนุฑูŠู ...ู„ู… ูŠุญุฏุฏ
780
+
781
+ 196
782
+ 00:16:44,540 --> 00:16:51,100
783
+ ุงู„ูƒูŠููŠุฉ ุฃูˆ ุฃุฎุตุงุฆูŠู† ..ุฃุญุณู†ุช ูŠุง ุจู†ุชูŠุŒ ูˆุฃูŠุถุง ุงู„ุฌุงู†ุจ
784
+
785
+ 197
786
+ 00:16:51,100 --> 00:16:55,520
787
+ ุงู„ุซุงู†ูŠุŒ ุงู„ูƒูŠููŠุฉุŒ ุฅุฐู† ู‡ู†ุง ู„ู… ูŠุจูŠู† ู…ุง ู‡ูŠ ..ู…ุง ู‡ูŠ
788
+
789
+ 198
790
+ 00:16:55,520 --> 00:16:59,820
791
+ ุงู„ุทุฑูŠู‚ุฉุŒ ุจุงุนุชุจุงุฑ ุฃู† ุชู†ุธูŠู… ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉุŒ ุจู„ ู‚ุงู„ ุนู†ู‡ุง
792
+
793
+ 199
794
+ 00:16:59,820 --> 00:17:04,720
795
+ ุนู…ู„ูŠุฉูˆุฃูŠุถู‹ุง ู„ู… ูŠุจูŠู† ุงู„ูƒูŠููŠุฉ ุงู„ุชูŠ ุชู…ุงุฑุณ ุจู‡ุง ุญุชู‰
796
+
797
+ 200
798
+ 00:17:04,720 --> 00:17:09,220
799
+ ุงู„ุนู…ู„ูŠุฉ ู„ูˆ ุญุณุจ ู‚ูˆู„ู‡ ุจุงุนุชุจุงุฑ ุฃู† ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนู…ู„ูŠุฉ
800
+
801
+ 201
802
+ 00:17:09,220 --> 00:17:14,640
803
+ ูƒู…ุง ูŠู‚ูˆู„ ู„ู… ูŠุจูŠู† ู…ู† ู‡ู… ุงู„ุฐูŠู† ูŠู…ุงุฑุณูˆู† ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
804
+
805
+ 202
806
+ 00:17:14,640 --> 00:17:19,780
807
+ ูู„ุฐู„ูƒ ู‡ุฐุง ู…ุงุฎุฏ ุฃูŠุถู‹ุง ู„ุฃู†ู‡ ู„ู… ูŠุญุฏุฏ ุงู„ู…ู…ุงุฑุณูŠู† ู„ุทุฑูŠู‚ุฉ
808
+
809
+ 203
810
+ 00:17:19,780 --> 00:17:24,900
811
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ุงู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠูŠู† ุจุงุนุชุจุงุฑู‡ู…
812
+
813
+ 204
814
+ 00:17:24,900 --> 00:17:30,660
815
+ ุฃู†ู‡ ู„ู… ูŠูˆุถุญู‡ู… ูˆู„ู… ูŠุจูŠู†ุจุงุนุชุจุงุฑู‡ู… ุงู„ุฃุฎุตุงุฆูŠูŠู†
816
+
817
+ 205
818
+ 00:17:30,660 --> 00:17:35,220
819
+ ุงู„ุงุฌุชู…ุงุนูŠูŠู† ู‡ู… ุงู„ุฐูŠู† ูŠู…ุงุฑุณูˆู† ูƒู†ุงุญูŠุฉ ู…ู‡ู†ูŠุฉ ุทุฑูŠู‚ุฉ
820
+
821
+ 206
822
+ 00:17:35,220 --> 00:17:39,460
823
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู†ุนู… ู†ูุณ ู…ุง ุฃุฎุฐู†ุงู‡ ู†ุนู… ู†ูุณ ู…ุง ุฃุฎุฐู†ุงู‡
824
+
825
+ 207
826
+ 00:17:39,460 --> 00:17:44,840
827
+ ุทุจุนุง ู„ุฃู†ู‡ ูŠุจุฏู„ ุนู„ู‰ ู…ุฑุญู„ุฉ ู…ู† ุงู„ู…ุฑุงุญู„ ูู‡ุฐู‡ ุฌูˆุงู†ุจ
828
+
829
+ 208
830
+ 00:17:44,840 --> 00:17:50,480
831
+ ุงู„ู‚ูˆุฉ ูˆ ุฌูˆุงู†ุจ ุงู„ุทุนู ููŠ ุชุนุฑูŠู ู†ูˆุณ ุชุชุฑ ุฎู„ุงุต ุฎู„ุตู†ุง
832
+
833
+ 209
834
+ 00:17:50,480 --> 00:17:54,760
835
+ ุงู„ุชุนุฑูŠูุงุช ุงู„ุฃุฌู†ุจูŠุฉ ุชุนุฑูŠููŠู† ูŠูƒููŠ ู†ูŠุฌูŠ ู„ู…ุฑุญู„ุฉ
836
+
837
+ 210
838
+ 00:17:54,760 --> 00:18:00,850
839
+ ุงู„ุซุงู†ูŠุฉููŠ ุงู„ู…ุฑุญู„ุฉ ุงู„ุซุงู†ูŠุฉ ููŠ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ ูˆุฎุงุตุฉ ููŠ
840
+
841
+ 211
842
+ 00:18:00,850 --> 00:18:04,930
843
+ ู…ุตุฑ ุจุงุนุชุจุงุฑ ุงู† ู…ุตุฑ ุฑุงุฆุฏุฉ ุนู…ู„ุช ุฑุงุฆุฏุฉ ู…ู‡ู†ุฉ ุงู„ุฎุฏู…ุฉ
844
+
845
+ 212
846
+ 00:18:04,930 --> 00:18:09,270
847
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุนู† ุทุฑูŠู‚ ุงู„ุฑูˆุงุฏ ุงู„ุฃูˆุงุฆู„ ุงู†ู‡ ู†ู‚ู„ูˆุง ู…ู‡ู†ุฉ
848
+
849
+ 213
850
+ 00:18:09,270 --> 00:18:14,410
851
+ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูŠุนู†ูŠ ุฅู„ู‰ ู…ุตุฑ ูˆ ุชู… ุงู„ุงุนุชุฑุงู ูŠุนู†ูŠ
852
+
853
+ 214
854
+ 00:18:14,410 --> 00:18:19,510
855
+ ุจุงู„ุทุฑู‚ ุงู„ุฌู…ูŠุน ูู„ุฐู„ูƒ ู†ู‚ู„ูˆุง ู„ู†ุง ุฎุฏู…ุฉ ุงู„ูุฑู‚ ูˆุฎุฏู…ุฉ
856
+
857
+ 215
858
+ 00:18:19,510 --> 00:18:24,710
859
+ ุงู„ุฌู…ุงุนุฉ ูˆุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุงู„ุฑูˆุงุฏ ุงู„ุฃูˆุงุฆู„ู‡ู…
860
+
861
+ 216
862
+ 00:18:24,710 --> 00:18:29,270
863
+ ุงู„ุฏูƒุชูˆุฑ ุฃุญู…ุฏ ูƒู…ุงู„ ุฃุญู…ุฏุŒ ุฃูŠุถู‹ุง ู…ู† ุงู„ุฑูˆุงุฏ ุงู„ุฃูˆุงุฆู„ุŒ
864
+
865
+ 217
866
+ 00:18:29,270 --> 00:18:33,350
867
+ ุงู„ุฏูƒุชูˆุฑ ุณูŠุฏ ุฃุจูˆ ุจูƒุฑ ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ุฃูŠุถู‹ุง
868
+
869
+ 218
870
+ 00:18:33,350 --> 00:18:37,230
871
+ ุงู„ุฏูƒุชูˆุฑ ุนู‡ูˆุฏุฉ ุจุฏุฑุงู†ุŒ ู‡ุฏูˆู„ ู…ู† ุงู„ุฑูˆุงุฏ ุงู„ุฃูˆุงุฆู„ ููŠ
872
+
873
+ 219
874
+ 00:18:37,230 --> 00:18:41,490
875
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ู†ู‚ู„ูˆุง ุทุฑูŠู‚ุฉ ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
876
+
877
+ 220
878
+ 00:18:41,490 --> 00:18:45,870
879
+ ูˆุจูŠู‘ู†ูˆุง ุทุฑูŠู‚ุฉ ููŠ ู…ุตุฑุŒ ูˆู‡ุฏูˆู„ ุชุชู„ู…ุฐู† ุนู„ู‰ ุฃูŠุฏูŠู‡ู…ุŒ ู†ุญู†
880
+
881
+ 221
882
+ 00:18:45,870 --> 00:18:51,050
883
+ ุชุชู„ู…ุฐู†ุง ูˆุฏุฑุณู†ุง ูˆูƒู†ุง ู‚ู„ุงุจุฉู„ู†ูุชุญ .. ูŠุนู†ูŠ ูˆ ู‡ู… ูŠุดุฑุญูˆู†
884
+
885
+ 222
886
+ 00:18:51,050 --> 00:18:54,330
887
+ ู„ู†ุง ู…ุญุงุถุฑุงุช ููŠ ุงู„ุณุจุนูŠู†ุงุช ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ูƒู† ู‡ู… ูƒุงู†ูˆุง
888
+
889
+ 223
890
+ 00:18:54,330 --> 00:18:57,050
891
+ ููŠ ู…ุตุฑ ู…ู† ุงู„ุณู†ุชูŠู†ุงุช ุจู„ ุงู„ุจุนุถ ู…ู†ู‡ู… ู…ู† ุงู„ุฎู…ุณ ุณู†ุงุช
892
+
893
+ 224
894
+ 00:18:57,050 --> 00:19:02,070
895
+ ูŠุนู†ูŠ ุฏุฑุณูˆุง ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆ ุจูƒู„ ุทุฑู‚ู‡ุง ูˆ ุญุถุฑูˆุง
896
+
897
+ 225
898
+ 00:19:02,070 --> 00:19:05,750
899
+ ุฅู„ู‰ ู…ุตุฑ ู„ู†ู‚ู„ ู…ู‡ู†ุฉ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู…ุคุซุฑุฉ ุญุณุจ
900
+
901
+ 226
902
+ 00:19:05,750 --> 00:19:12,850
903
+ ุงู„ุชุฃุตูŠู„ ุงู„ุนุฑุจูŠ ู„ู…ู‡ู†ุฉ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆ ู„ูŠุณุช ูƒู…ุง
904
+
905
+ 227
906
+ 00:19:12,850 --> 00:19:17,370
907
+ ู‡ูŠ ู…ู†ู‚ูˆู„ุฉ ูƒู…ุง ู‡ูŠ ููŠ ุฃู…ุฑูŠูƒุง ูˆ ู…ู†ู‚ูˆู„ุฉ ู‚ุจู‚ุง ู„ู„ุฃุตู„ูุฐู„ูƒ
908
+
909
+ 228
910
+ 00:19:17,370 --> 00:19:21,350
911
+ ู‡ู†ุงูƒ ูƒุงู† ุชูˆุทูŠู† ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ู…ุตุฑ ูˆุจุนุฏ ุฐู„ูƒ
912
+
913
+ 229
914
+ 00:19:21,350 --> 00:19:24,910
915
+ ุงู†ุชู‚ู„ุช ู„ู„ุชูˆุทูŠู† ููŠ ุจุงู‚ู‰ ุงู„ุฏูˆู„ ุงู„ุนุฑุจูŠุฉ ุนู† ุทุฑูŠู‚
916
+
917
+ 230
918
+ 00:19:24,910 --> 00:19:29,250
919
+ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠ ูู‡ูŠ ุฑุงุฆุฏุฉ ููŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
920
+
921
+ 231
922
+ 00:19:29,250 --> 00:19:34,610
923
+ ูู‡ุคู„ุงุก ุงู„ุฑูˆุงุฏ ู†ู‚ู„ูˆุง ู…ุง ูŠุฎุต ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ
924
+
925
+ 232
926
+ 00:19:34,610 --> 00:19:39,660
927
+ ุนู†ุฏู†ุง ุฑูˆุงุฏ ู†ู‚ู„ูˆุง ุฎุฏู…ุฉ ุงู„ูุฑุฏูŠุนู†ูŠ ูˆู…ู†ู‡ู… ุงู„ุฏูƒุชูˆุฑ
928
+
929
+ 233
930
+ 00:19:39,660 --> 00:19:43,560
931
+ ุนุจุฏุงู„ูุชุงุน ุนุซู…ุงู† ู‡ุฐุง ูƒุงู† ุฑุงุฆุฏ ููŠ ุฎุฏู…ุฉ ุงู„ูุฑุฏ ุฃูŠุถุง
932
+
933
+ 234
934
+ 00:19:43,560 --> 00:19:47,660
935
+ ุชุชู„ู…ุชู†ุง ุนู„ู‰ ูŠุฏูŠู‡ ูˆุฏุฑุณู†ุง ุงู„ู„ูŠ ู‡ูŠ ุทุฑูŠู‚ุฉ ุฎุฏู…ุฉ ุงู„ูุฑุฏ
936
+
937
+ 235
938
+ 00:19:47,660 --> 00:19:52,020
939
+ ูŠุนู†ูŠ ูˆู†ุญู† ููŠ .. ููŠ .. ุชุฑุณู„ุชู†ุง ููŠ ูƒู„ูŠุฉ ุงู„ุฎุฏู…ุฉ
940
+
941
+ 236
942
+ 00:19:52,020 --> 00:19:56,400
943
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฃุตุจุญุช ุงู„ุขู† ุชุงุจุนุฉ ุฅู„ู‰ ุญู„ูˆุงู† ูˆูƒุงู†ุช ููŠ
944
+
945
+ 237
946
+ 00:19:56,400 --> 00:19:59,860
947
+ ุงู„ุฃูˆู„ ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงุณู…ู‡ ุงุณู…
948
+
949
+ 238
950
+ 00:19:59,860 --> 00:20:04,360
951
+ ุงู„ูƒู„ูŠุฉ ูƒุฐู„ูƒ ูƒุซูŠุฑ
952
+
953
+ 239
954
+ 00:20:04,360 --> 00:20:09,430
955
+ ู…ู† ุงู„ุฑูˆุงุฏูŠุนู†ูŠ ุงู„ุฃุฎุฑูŠู† ููŠ ุฎุฏู…ุฉ ุงู„ุฌู…ุงุนุฉ ุงู„ุฑุงุฆุฏ ุงู„ุฃูˆู„
956
+
957
+ 240
958
+ 00:20:09,430 --> 00:20:13,450
959
+ ู„ุฎุฏู…ุฉ ุงู„ุฌู…ุงุนุฉ ุงู„ุฏูƒุชูˆุฑ ู…ุญู…ุฏ ุดู…ุณ ุงู„ุฏูŠู† ุฃุญู…ุฏ ุฃูŠุถุง
960
+
961
+ 241
962
+ 00:20:13,450 --> 00:20:18,330
963
+ ุชุชู„ู…ุฐู† ุนู„ู‰ ูŠุฏูŠู‡ ููŠ ุฎุฏู…ุฉ ุงู„ุฌู…ุงุนุฉ ู‡ุคู„ุงุก ุฑูˆุงุฏ ุฏุฑุณูˆุง
964
+
965
+ 242
966
+ 00:20:18,330 --> 00:20:22,830
967
+ ููŠ ุฃู…ุฑูŠูƒุง ูˆุญุถุฑูˆุง ุฅู„ู‰ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ุจุงุนุชุจุงุฑู‡ู…
968
+
969
+ 243
970
+ 00:20:22,830 --> 00:20:27,490
971
+ ู…ุตุฑูŠูŠู† ูˆู†ู‚ู„ูˆุง ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุฃููƒุงุฑู‡ู… ูุงู„ุฎุฏู…ุฉ
972
+
973
+ 244
974
+ 00:20:27,490 --> 00:20:31,290
975
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุชูˆุทู†ุช ููŠ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ุจุทุฑู‚ู‡ุง
976
+
977
+ 245
978
+ 00:20:31,290 --> 00:20:35,760
979
+ ุงู„ุซู„ุงุซ ุนู† ุทุฑูŠู‚ ุงู„ุฑูˆุงุฏ ุงู„ุฐูŠู† ุฐูƒุฑู†ุงู‡ู…ููŠ ุฎุฏู…ุฉ ุงู„ูุฑุฏ
980
+
981
+ 246
982
+ 00:20:35,760 --> 00:20:40,180
983
+ ูˆุฎุฏู…ุฉ ุงู„ุฌู…ุงุนุฉ ูˆ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ
984
+
985
+ 247
986
+ 00:20:40,180 --> 00:20:45,180
987
+ ุงู„ู…ุฑุญู„ุฉ ู‡ุฐู‡ ูƒุงู†ุช ู…ุฑุญู„ุฉ ุชุซุจูŠุช ุทุฑู‚ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
988
+
989
+ 248
990
+ 00:20:45,180 --> 00:20:50,420
991
+ ูƒูƒู„ ูููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูŠุนู†ูŠ ููŠ ูƒุซูŠุฑ ู…ู† ุงู„ู…ุคุณุณุงุช
992
+
993
+ 249
994
+ 00:20:50,420 --> 00:20:57,340
995
+ ูŠุนู†ูŠ ุธู‡ุฑุช ููŠ ู…ุตุฑ ู…ุซู„ ุนุงู… 1937 ุธู‡ุฑุช ุงู„ุฌุงู…ุนูŠุฉ
996
+
997
+ 250
998
+ 00:20:57,340 --> 00:21:03,180
999
+ ุงู„ู…ุตุฑูŠุฉ ู„ุฏุฑุงุณุงุช ุงุฌุชู…ุงุนูŠุฉ ูˆ ูƒุฐู„ูƒ ุชู… ุฅู†ุดุงุกุฃูˆู„ ู…ุนู‡ุฏ
1000
+
1001
+ 251
1002
+ 00:21:03,180 --> 00:21:05,860
1003
+ ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ุฃุณูƒู†ุฏุฑูŠุฉ ุนุงู… ุชุณุน ู…ูŠุฉ ูˆ ุฎู…ุณุฉ ูˆ
1004
+
1005
+ 252
1006
+ 00:21:05,860 --> 00:21:09,700
1007
+ ุชู„ุงุชูŠู† ูˆ ุฃุชุดูŠุฃุช ู…ุฏุฑุณุฉ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุงู„ู‚ุงู‡ุฑุฉ
1008
+
1009
+ 253
1010
+ 00:21:09,700 --> 00:21:14,180
1011
+ ุนุงู… ุชุณุน ู…ูŠุฉ ูˆ ุณุจุนุฉ ูˆ ุชู„ุงุชูŠู† ุงู„ู„ูŠ ุงู„ุขู† ุจูŠุณู…ูˆู‡ุง
1012
+
1013
+ 254
1014
+ 00:21:14,180 --> 00:21:17,200
1015
+ ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ ุชุญูˆู„ ุฅู„ู‰ ุงู„ู…ุนู‡ุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุนุงู„ูŠ
1016
+
1017
+ 255
1018
+ 00:21:17,200 --> 00:21:20,640
1019
+ ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุงู„ู‚ู„ุฑูŠ ุจู…ุฏูŠู†ุฉ ุงู„ู‚ู„ุฑูŠ ููŠ ุงู„ู‚ุงู‡ุฑุฉ
1020
+
1021
+ 256
1022
+ 00:21:20,640 --> 00:21:24,440
1023
+ ุฃูŠุถุงูˆ ูŠุทู„ู‚ ุนู„ูŠู‡ ุญุงู„ูŠุง ุงู„ู…ุนู‡ุฏ ุงู„ู‚ุงู‡ุฑุฉ ู„ู„ุฎุฏู…ุฉ
1024
+
1025
+ 257
1026
+ 00:21:24,440 --> 00:21:28,300
1027
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุซู… ุงู†ุดุฃ ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ ู„ู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
1028
+
1029
+ 258
1030
+ 00:21:28,300 --> 00:21:31,180
1031
+ ููŠ ุงู„ู‚ุงู‡ุฑุฉ ูˆ ูƒุงู† ูŠุณู…ูˆู‡ ููŠ ุงู„ุฃูˆู„ ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ
1032
+
1033
+ 259
1034
+ 00:21:31,180 --> 00:21:35,140
1035
+ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู„ู„ูุชูŠุงุช ุซู… ุจุฏุฃ ุชุญูˆูŠู„ู‡ ุนุงู… ู„ู„ุฏุจูˆุฑ
1036
+
1037
+ 260
1038
+ 00:21:35,140 --> 00:21:40,320
1039
+ ูˆุงู„ุนู†ุงุฏ ููŠ Garden City ูˆ ุชุญูˆู„ ู…ู† ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ
1040
+
1041
+ 261
1042
+ 00:21:40,320 --> 00:21:43,700
1043
+ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฅู„ู‰ ูƒู„ูŠุฉ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ
1044
+
1045
+ 262
1046
+ 00:21:43,700 --> 00:21:47,500
1047
+ Garden City ูˆุจุนุฏ ุฐู„ูƒ ุชุญูˆู„ ุฅู„ู‰ ุฌุงู…ุนุฉ ุญู„ูˆุงู† ุงุญู†ุง
1048
+
1049
+ 263
1050
+ 00:21:47,500 --> 00:21:51,590
1051
+ ุฏุฑุณู†ุง ููŠู‡ ุทุจุนุง ู„ู…ุง ูƒุงู†ููŠ Garden City ุซู… ุชุญูˆู„ูˆุง
1052
+
1053
+ 264
1054
+ 00:21:51,590 --> 00:21:56,210
1055
+ ู„ุฌุงู…ุนุฉ ุญู„ูˆุงู† ูˆู…ุงููŠู‡ ุฒู…ู„ุงุก ุงุชุฎุฑุฌูˆุง ุงู„ุงู† ู…ู† ู‡ุฐุง
1056
+
1057
+ 265
1058
+ 00:21:56,210 --> 00:21:58,970
1059
+ ุงู„ู…ุนู‚ุฏ ุทุจุนุง ู…ุง ุงุญู†ุง ุฏุฑุณู†ุง ูƒู…ู‡ุงุฑูŠ ูŠุนู†ูŠ ุจูƒุงู„ูˆุฑูŠูˆุณ
1060
+
1061
+ 266
1062
+ 00:21:58,970 --> 00:22:02,250
1063
+ ูˆุฎู„ูŠุฉ ุฎุฏู…ุฉ ุงุฌุชู…ุงุนูŠุฉ ูˆุงูŠุถุง ุงู„ุงู† ููŠ ุฏุฑุณูˆุง ู…ุงุฌุณุชูŠุฑ
1064
+
1065
+ 267
1066
+ 00:22:02,250 --> 00:22:05,670
1067
+ ูˆุฏูƒุชูˆุฑุงู‡ ุงู„ุงู† ุจุฏุฑุณูˆุง ุฏูƒุชูˆุฑุงู‡ ูŠุนู†ูŠ ููŠ ุนู†ุฏู†ุง ุนุฏุฏ ู…ู†
1068
+
1069
+ 268
1070
+ 00:22:05,670 --> 00:22:08,470
1071
+ ุทู„ุงุจู†ุง ุงู„ู„ูŠ ุฏุฑุณูˆุง ุฎุฏู…ุฉ ุงุฌุชู…ุงุนูŠุฉ ููŠ ุงู„ุฌุงู…ุนุฉ
1072
+
1073
+ 269
1074
+ 00:22:08,470 --> 00:22:12,030
1075
+ ุงู„ุฅุณู„ุงู…ูŠุฉ ู‡ู†ุง ุจุบุฒุฉ ูŠุนู†ูŠ ุฏุฑุณูˆุง ุงูŠุถุง ุจุงู„ุงุถุงูุฉ
1076
+
1077
+ 270
1078
+ 00:22:12,030 --> 00:22:17,810
1079
+ ู„ู„ุจูƒุงู„ูˆุฑูŠูˆุณ ุฏุฑุงุณุฉ ู…ุงุฌุณุชูŠุฑ ูˆุฏูƒุชูˆุฑุงู‡ูู‡ุฐุง ูƒุงู† ูŠุนู†ูŠ
1080
+
1081
+ 271
1082
+ 00:22:17,810 --> 00:22:22,710
1083
+ ุนู…ู„ูŠุฉ ุชุทูˆุฑ ู„ูƒู„ูŠุงุช
1084
+
1085
+ 272
1086
+ 00:22:22,710 --> 00:22:26,690
1087
+ ุฃูˆ ู…ุนุงู‡ุฏ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ู…ุตุฑ ูุงู„ุขู† ุชุนุชุจุฑ
1088
+
1089
+ 273
1090
+ 00:22:26,690 --> 00:22:30,310
1091
+ ุฌุงู…ุนุฉ ุญู„ูˆุงู† ุฑุงุฆุฏุฉ ููŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฎุฑุฌุช ุงู„ูƒุซูŠุฑ
1092
+
1093
+ 274
1094
+ 00:22:30,310 --> 00:22:33,150
1095
+ ู…ู† ุฎุฑูŠุฌูŠู‡ุง ููŠ ุงู„ bachelor's ูˆุงู„ bachelor's ูˆุงู„
1096
+
1097
+ 275
1098
+ 00:22:33,150 --> 00:22:37,270
1099
+ doctorate ูˆุชูˆุฒุน ูŠุนู†ูŠ ุงู„ุนุงู…ู„ูŠู† ุฃูŠุถุง ููŠ ุงู„ุชุฎุตูŠุงุช
1100
+
1101
+ 276
1102
+ 00:22:37,270 --> 00:22:41,190
1103
+ ุงู„ุนู„ูŠุง ู„ุชุฏุฑูŠุณ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ
1104
+
1105
+ 277
1106
+ 00:22:41,590 --> 00:22:45,670
1107
+ ุงู„ู„ูŠ ู‡ูŠ ุชุฏุฑูŠุณ ุงู„ู„ูŠ ู‡ูŠ ู…ู‡ู†ุฉ ุงู„ู‚ุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
1108
+
1109
+ 278
1110
+ 00:22:45,670 --> 00:22:51,670
1111
+ ุจุทุฑู‚ู‡ุง ุงู„ุซู„ุงุซ ูู„ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ูŠุนู†ูŠ ู…ุงููŠุด
1112
+
1113
+ 279
1114
+ 00:22:51,670 --> 00:22:56,110
1115
+ ุนู†ุฏู†ุง ุชุนุฑูŠูุงุช ู„ุฃู† ุงู„ุชุนุฑูŠูุงุช ุงู„ู„ูŠ ุฐูƒุฑูˆู‡ุง ุงู„ุฑูˆุงุฏ ู‡ู†ุง
1116
+
1117
+ 280
1118
+ 00:22:56,110 --> 00:23:00,250
1119
+ ุชุนุฑูŠูุงุช ู…ุดุชุฑูƒุฉ ุชุฑุจุท ู…ุง ุจูŠู† ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูˆู…ุฑุญู„ุฉ
1120
+
1121
+ 281
1122
+ 00:23:00,250 --> 00:23:05,410
1123
+ ุงู„ุชุฎุทูŠุจ ูˆู…ุฑุญู„ุฉ ุงู„ุชู†ู…ูŠุฉ ูˆู…ุฑุญู„ุฉ ุงู„ุฏูุงุน ุญุชู‰ ูู„ุฐู„ูƒ ู‡ู†ุง
1124
+
1125
+ 282
1126
+ 00:23:05,410 --> 00:23:12,140
1127
+ ุณู†ุนุฑุฌ ุฅู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุจู‡ูˆ ุชุนุฑูŠูุงุช ุฎุงุตุฉ
1128
+
1129
+ 283
1130
+ 00:23:12,140 --> 00:23:16,400
1131
+ ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู‚ุทูŠู‚ุŒ ุงู„ู„ูŠ ุฎุงุตุฉ
1132
+
1133
+ 284
1134
+ 00:23:16,400 --> 00:23:22,060
1135
+ ู‡ู†ุงุฎุฏู‡ุง ุนู†ุฏ ุงู„ุนุฑุจ ูˆุนู†ุฏ ุงู„ูˆุงุฌุงู†ุจ ูˆู…ุง ูŠุฎุต ุงู„ุชุนุฑูŠูุงุช
1136
+
1137
+ 285
1138
+ 00:23:22,060 --> 00:23:25,640
1139
+ ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ุณู†ุชุนุฑุถ ู„ู‡ุง ุงู„ู„ูŠ ู‡ูŠ ููŠ ู…ุฑุญู„ุฉ
1140
+
1141
+ 286
1142
+ 00:23:25,640 --> 00:23:29,060
1143
+ ุงู„ุชู‚ุทูŠู‚ุŒ ู„ุฃู†ู‡ ูƒุงู†ุช ุงู„ุชุนุฑูŠูุงุช ุชุฑุจุท ู…ุง ุจูŠู† ู…ุฑุญู„ุฉ
1144
+
1145
+ 287
1146
+ 00:23:29,060 --> 00:23:33,980
1147
+ ุงู„ุชู†ุณูŠู‚ ูˆุงู„ุชู‚ุทูŠู‚ูŠุนู†ูŠ ููŠ ุงู„ุชุนุฑูŠูุงุช ุงู„ุนุฑุจูŠุฉ ู„ูƒู† ู‡ู†ุง
1148
+
1149
+ 288
1150
+ 00:23:33,980 --> 00:23:37,900
1151
+ ููŠ ุชุนุฑูŠูุงุช ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท ุงู„ู„ู‰ ู…ุฑู‘ุช ุจูŠู‡ุง ุทุฑูŠู‚ ุชู†ุธูŠู…
1152
+
1153
+ 289
1154
+ 00:23:37,900 --> 00:23:43,480
1155
+ ุงู„ู…ุฌุชู…ุน ุณู†ุงุฎุฏ ูŠุนู†ูŠ ุชุนุฑูŠูุงุช ุนู†ุฏ ุงู„ุฃุฌุงู†๏ฟฝ๏ฟฝ ูŠุนู†ูŠ ุฃุจุฑุฒ
1156
+
1157
+ 290
1158
+ 00:23:43,480 --> 00:23:47,520
1159
+ ู…ุง ุงู†ุชุญุฏุซูˆุง ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ุฌูŠู…ุณ ุฏุงู‡ูŠุฑ ูˆ .. ูˆ ..
1160
+
1161
+ 291
1162
+ 00:23:47,520 --> 00:23:55,340
1163
+ ู…ุงูƒู†ูˆูŠู„ ูˆ ูƒุงู…ูŠู„ ู…ูŠุฑููŠ ูˆ ุดูŠุฑุงุฑุฏ ูˆ ุฃูŠุถุง ูˆูˆุงู„ุณู†
1164
+
1165
+ 292
1166
+ 00:23:55,340 --> 00:24:00,950
1167
+ ูˆูƒูˆู†ูุฑ ู‡ุฏูˆู„ุฉ ูƒู„ู‡ู… ูŠุนู†ูŠ ุนุฑููˆุงู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ
1168
+
1169
+ 293
1170
+ 00:24:00,950 --> 00:24:08,470
1171
+ ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุจ ูˆุฃูŠุถุง Sidr ูƒุฐู„ูƒ ูˆShirak ู‡ู†ุงุฎุฏ ุงุญู†ุง
1172
+
1173
+ 294
1174
+ 00:24:08,470 --> 00:24:13,830
1175
+ ูŠุนู†ูŠ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ ูˆุงู„ุชุนุฑูŠู ุงู„ุฃุฎูŠุฑ ู‡ู†ุงุฎุฏ James
1176
+
1177
+ 295
1178
+ 00:24:13,830 --> 00:24:18,610
1179
+ Tahir ูˆุชุนุฑูŠู Thomas Shirak ุงู„ุฃูˆู„ ูˆุงู„ุฃุฎูŠุฑุŒ ู…ุงุดูŠุŸ
1180
+
1181
+ 296
1182
+ 00:24:18,610 --> 00:24:22,310
1183
+ ูู‡ุฐุง ู†ุงุฎุฏ ุงู„ุชุนุฑูŠู ุงู„ุฃูˆู„ ุงู„ุฎุงุต ุจJames Tahir ู„ุฃู†ู‡
1184
+
1185
+ 297
1186
+ 00:24:22,310 --> 00:24:25,970
1187
+ ุชู…ุซู„ ุงู„ู…ุฑุญู„ุฉ ุงู„ุฃูˆู„ู‰ ูƒู…ุฑุญู„ุฉ ุชุงุฑูŠุฎูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุนุงู…
1188
+
1189
+ 298
1190
+ 00:24:25,970 --> 00:24:33,330
1191
+ 1950ู„ูŠู‡ ุงู„ุชุฎุทูŠุญุŸ ุทุจุนุงู‹ ุฃุนุฑู ุฃู† ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
1192
+
1193
+ 299
1194
+ 00:24:33,330 --> 00:24:40,450
1195
+ ุจุงุนุชุจุงุฑู‡ุง ุฃู†ุดุทุฉุŒ ุฅุฐุง ู‡ู†ุง ู„ู… ูŠู‚ูˆู„ ุนู†ู‡ุง ุทุฑูŠู‚ุฉ ูˆู„ูƒู†
1196
+
1197
+ 300
1198
+ 00:24:40,450 --> 00:24:44,930
1199
+ ุฃูุงุฏ ุจุฃู† ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ุฌู…ูˆุนุฉ ุงู„ุฃู†ุดุทุฉ ุงู„ุชูŠ ู…ุง ู„ุณู‡
1200
+
1201
+ 301
1202
+ 00:24:44,930 --> 00:24:48,810
1203
+ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู„ู„ุนู…ู„ ุนู„ู‰ ุฅูŠุฌุงุฏ ุชูˆุงุฒู† ู…ุง ุจูŠู†
1204
+
1205
+ 302
1206
+ 00:24:48,810 --> 00:24:54,350
1207
+ ุงุญุชูŠุงุฌุงุช ู…ุฌุชู…ุนู‡ู… ูˆู…ุง ุจูŠู† ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ุชุงุญุฉ ุฃูˆ
1208
+
1209
+ 303
1210
+ 00:24:54,350 --> 00:25:01,920
1211
+ ุงู„ู…ูˆุงุฑุฏ ุงู„ุชูŠ ู‚ุฏ ุชุชุงุญุชุนุฑูŠู ู‚ุตูŠุฑ ูˆุจุฑูƒุฒ ุนู† ุงู„ู„ูŠ ู‡ูŠ
1212
+
1213
+ 304
1214
+ 00:25:01,920 --> 00:25:06,020
1215
+ ู…ุฑุญู„ุฉ ู…ู† ู…ุฑุงุญู„ ุงู„ู„ูŠ ู…ุฑุช ููŠู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
1216
+
1217
+ 305
1218
+ 00:25:06,020 --> 00:25:10,720
1219
+ ูˆู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุชู‚ุทูŠู… ู„ูƒู† ู‡ู†ุง ูŠุนู†ูŠ ุฃู†ู†ุง ุนู†ุฏ ู…ู†ุงู‚ุดุชู†ุง
1220
+
1221
+ 306
1222
+ 00:25:10,720 --> 00:25:15,960
1223
+ ู„ู‡ุฐุง ุงู„ุชุนุฑูŠู ู†ุฌุฏ ุฃู†ู‡ ุจูŠุฌุฏ ุชูˆุงุซู† ู…ุง ุจูŠู† ุงู„ู…ูˆุงุฑุฏ ูˆู…ุง
1224
+
1225
+ 307
1226
+ 00:25:15,960 --> 00:25:20,760
1227
+ ุจูŠู† ุงู„ุญุฌุงุฑุฉ ุฃูˆ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ุชูŠ ู‚ุฏ ุชุชุนุฑู
1228
+
1229
+ 308
1230
+ 00:25:20,760 --> 00:25:26,940
1231
+ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ู…ูˆุงุฑุฏ ุงู„ุชูŠ ู‚ุฏ ุชุชุนุฑููˆู‡ู†ุง ู„ู…ุง
1232
+
1233
+ 309
1234
+ 00:25:26,940 --> 00:25:30,700
1235
+ ู†ู‚ูˆู„ ู‚ุฏ ุชุชุงุญูŠ ูŠุนู†ูŠ ู…ุณุชู‚ุจู„ูŠู‡ ู…ูˆุงุฑุฏ ู…ู…ูƒู† ู‚ุฏ ู†ุญุตู„
1236
+
1237
+ 310
1238
+ 00:25:30,700 --> 00:25:35,140
1239
+ ุนู„ูŠู‡ุง ููŠ ุงู„ู…ุณุชู‚ุจู„ ุจุงู„ุงุถุงูุฉ ู„ู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุฌูˆุฏุฉ ุญุงู„ูŠู‹ุง
1240
+
1241
+ 311
1242
+ 00:25:35,140 --> 00:25:40,160
1243
+ ูู‡ุฐุง ุจูŠุนุจุฑ ูŠุนู†ูŠ ุนู† ุนู…ู„ูŠุฉ ุฅูŠู‡ ุงู„ุชุฎุทูŠุท ูˆู‡ู†ุง ุจูŠุนู…ู„
1244
+
1245
+ 312
1246
+ 00:25:40,160 --> 00:25:44,300
1247
+ ุชูˆุงุฒู† ู…ุง ุจูŠู† ุงู„ู…ูˆุงุฑุฏ ูˆุงู„ุงุญุชูŠุงุฌุงุช ูˆู‡ุฐุง ุทุจุนู‹ุง ูƒู„ู‡
1248
+
1249
+ 313
1250
+ 00:25:44,300 --> 00:25:52,060
1251
+ ุจุฑูƒุฒ ุนู„ู‰ ุงู„ุนู…ู„ูŠุฉ ุงู„ุชุฎุทูŠุทูŠุฉ ุทูŠุจ ู„ูˆ ุฃุฌูŠู†ุง ู‡ู†ุง ู…ู…ูƒู†
1252
+
1253
+ 314
1254
+ 00:25:52,060 --> 00:25:58,470
1255
+ ุงู„ุชุนุฑูŠู ู‡ุฐุงูŠุนู†ูŠ ุจูŠูุชู‚ุฏ ุฅู„ู‰ ุฌูˆุงู†ุจ ู…ู‡ู…ุฉ ุฌุฏุง ุงู„ู„ู‰ ู‡ูˆ
1256
+
1257
+ 315
1258
+ 00:25:58,470 --> 00:26:03,210
1259
+ ู…ุงุจูŠู†ุด ุฃู†ู‡ ุทุฑูŠู‚ุฉ ุฃู†ู‡ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ู…ุงู‚ุงู„ุด ุนู†
1260
+
1261
+ 316
1262
+ 00:26:03,210 --> 00:26:06,370
1263
+ ุงู„ุทุฑูŠู‚ุฉ ูˆู„ูƒู† ู‚ุงู„ ุนู†ู‡ุง ุฅูŠู‡ ู…ุฌู…ูˆุนุฉ ุฃู†ุดุทุฉ ู…ุฌู…ูˆุนุฉ
1264
+
1265
+ 317
1266
+ 00:26:06,370 --> 00:26:13,030
1267
+ ุฃู†ุดุทุฉ ุจุงู„ุฑุบู… ุฃู†ู‡ ุงู„ุชุนุฑูŠู ุนุงู… 1950 ูˆูƒุงู†ุช ุงู„ุฅุนู„ุงู† ุนู†
1268
+
1269
+ 318
1270
+ 00:26:13,030 --> 00:26:17,570
1271
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุงุนุชุฑุงู ุจูŠู‡ุง ูƒุงู† ุนุงู… 1946 ุฅุฐุง
1272
+
1273
+ 319
1274
+ 00:26:17,570 --> 00:26:22,620
1275
+ ู‡ุฐุง ู…ุงุฎุฏ ูŠุฃุฎุฐ ุนู„ูŠู‡ ุนู†ุฏ ุตูŠุงุบุฉ ู‡ุฐุง ุงู„ุชุนุฑูŠููู‡ู†ุง ู„ู…
1276
+
1277
+ 320
1278
+ 00:26:22,620 --> 00:26:26,460
1279
+ ูŠุดุฑ ุจุงุนุชุจุงุฑู‡ุง ุทุฑูŠู‚ุฉ ู…ู† ุงู„ู…ุฌุชู…ุน ูˆู„ูƒู† ู‚ุงู„ ุนู†ู‡ุง ุจุฃู†ู‡ุง
1280
+
1281
+ 321
1282
+ 00:26:26,460 --> 00:26:30,360
1283
+ unsupervised ูˆู‡ุฐุง ุทุจุนุง ูƒู„ุงู… ู…ุฑุฏูˆุฏ ุนู„ูŠู‡ ูŠุนู†ูŠ ูƒู„ุงู…
1284
+
1285
+ 322
1286
+ 00:26:30,360 --> 00:26:37,480
1287
+ ู…ุด ุตุญ ุฃูŠุถุง ุชู… ุงู„ุงุนุชุฑุงู ุจุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุนุงู… 1946
1288
+
1289
+ 323
1290
+ 00:26:37,480 --> 00:26:41,920
1291
+ ุณูˆุงุก ู‡ุฐู‡ ุธุงู‡ุฑุฉ ุงู„ู…ุคุณุณุงุช ุงู„ุฎุงุตุฉ ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1292
+
1293
+ 324
1294
+ 00:26:41,920 --> 00:26:46,540
1295
+ ุงู„ู…ุฌุชู…ุน ููŠ ุฃู…ุฑูŠูƒุง ุฃูˆ ุจุฑูŠุทุงู†ูŠุง ูˆ ุฃูŠุถุง ู…ุซู„ ู…ุงุฐุง ุงู„ู„ูŠ
1296
+
1297
+ 325
1298
+ 00:26:46,540 --> 00:26:51,520
1299
+ ุธู‡ุฑุช ุฒูŠ ุงู„ู…ุญู„ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฒูŠ ู…ุฌุงู„ุณ ุงู„ู‡ูŠุฆุงุช
1300
+
1301
+ 326
1302
+ 00:26:51,830 --> 00:26:55,010
1303
+ ูˆุงู„ุฑุนุงูŠุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ุฑุนุงูŠุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู‡ุฐู‡ ูƒู„ู‡ุง
1304
+
1305
+ 327
1306
+ 00:26:55,010 --> 00:27:00,830
1307
+ ูˆุงุฑุช ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ูู‡ุฐู‡ ูƒู„ู‡ุง ูƒุงู†ุช ุชู…ุงุฑุณ
1308
+
1309
+ 328
1310
+ 00:27:00,830 --> 00:27:05,990
1311
+ ุงู„ุฏูˆุฑ ุงู„ุชุฎุทูŠุทูŠ ู…ุฌุงู„ุณ ุงู„ู‡ูŠุฆุงุช ุงู„ุฑุนุงูŠุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
1312
+
1313
+ 329
1314
+ 00:27:05,990 --> 00:27:11,530
1315
+ ูˆุงู„ู…ุญู„ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ ูƒุงู† ู„ู‡ุง ุฏูˆุฑ ุชุฎุทูŠุทูŠ ูู„ุฐู„ูƒ ูŠูุฃุฎุฐ
1316
+
1317
+ 330
1318
+ 00:27:11,530 --> 00:27:16,410
1319
+ ุนู„ูŠู‡ุง ูŠุนู†ูŠ ุฌูˆุงู†ุจ ุงู„ู†ู‚ุต ููŠ ุงู„ุชุนุฑูŠู ุจุฃู†ู‡ ู„ู… ูŠุจูŠู† ุจุฃู†
1320
+
1321
+ 331
1322
+ 00:27:16,410 --> 00:27:22,640
1323
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ุฃูŠุถุง ู„ู… ูŠุญุฏุฏ ุงู„ูƒูŠููŠุฉู…ุง ู‡ูŠ
1324
+
1325
+ 332
1326
+ 00:27:22,640 --> 00:27:27,300
1327
+ ุงู„ูƒูŠููŠุฉ ุฃูŠุถู‹ุง ุงู„ู„ูŠ ู‡ูŠ ูƒูŠููŠุฉ ู…ู…ุงุฑุณุฉ ุงู„ุทุฑูŠู‚ุฉ ูู„ู…
1328
+
1329
+ 333
1330
+ 00:27:27,300 --> 00:27:31,380
1331
+ ูŠุจูŠู† ุงู„ู…ู…ุงุฑุณูŠู† ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง ุฃูŠุถู‹ุง
1332
+
1333
+ 334
1334
+ 00:27:31,380 --> 00:27:39,460
1335
+ ูŠุนุชุจุฑ ู…ุฃุฎุฐ ูŠูุฎูŽุฏ ุนู„ู‰ James Dahil ู„ู… ูŠุจูŠู† ุงู„ู…ู…ุงุฑุณูŠู†
1336
+
1337
+ 335
1338
+ 00:27:39,460 --> 00:27:45,340
1339
+ ู„ู„ุทุฑูŠู‚ุฉ ูˆุทุจุนู‹ุง
1340
+
1341
+ 336
1342
+ 00:27:45,340 --> 00:27:50,820
1343
+ ู‡ุฐุง ุนุฏู… ุชุจูŠุงู†ู‡ ู„ุนุฏู… ูˆุฌูˆุฏ ุฃูˆ ู„ู… ูŠูˆุทู‘ุญ ุงู„ู…ู…ุงุฑุณูŠู†
1344
+
1345
+ 337
1346
+ 00:27:51,100 --> 00:27:56,140
1347
+ ุจูŠูู‚ุฏ ุงู„ุทุฑูŠู‚ุฉ ูุนู„ูŠุชู‡ ุทูŠุจ ูˆุนู„ู‰ ู‡ุฐุง ูŠูุชู‚ุฑ ุงู„ุชุนุฑูŠู
1348
+
1349
+ 338
1350
+ 00:27:56,140 --> 00:28:01,960
1351
+ ุฅู„ู‰ ุฌุงู†ุจูŠู† ุฃุญุฏู‡ู…ุง ุงู„ู…ู‡ูŠุฉ ูˆุงู„ุงุฎุฑ ุงู„ูƒูŠููŠุฉ ุฅุฐุง ุจูŠูุชู‚ุฑ
1352
+
1353
+ 339
1354
+ 00:28:01,960 --> 00:28:11,540
1355
+ ุฅู„ู‰ ุฌุงู†ุจูŠู† ุฃุณุงุณูŠูŠู† ูˆู‡ู… ุงู„ู…ู‡ูŠุฉ ูˆุงู„ูƒูŠููŠุฉ ูˆุงุถุญุŸ
1356
+
1357
+ 340
1358
+ 00:28:11,540 --> 00:28:16,100
1359
+ ููŠ
1360
+
1361
+ 341
1362
+ 00:28:16,100 --> 00:28:22,940
1363
+ ุนู†ุฏู†ุง ุชุนุฑูŠู Thomas Schererุทุงู„ุจุฉ ุชู‚ุฑุฃ ู„ู†ุง ุงู„ุชุนุฑูŠู
1364
+
1365
+ 342
1366
+ 00:28:22,940 --> 00:28:34,480
1367
+ Thomas Sharaf ุจุนุชุจุฑ
1368
+
1369
+ 343
1370
+ 00:28:34,480 --> 00:28:40,840
1371
+ ู‡ุฐุง ุงู„ุชุนุฑูŠู ู…ุชุฃุฎุฑ ูŠุนู†ูŠ ููŠ ุนุงู… 1964ุŒ ูŠุนุชุจุฑ ู†ุณุจูŠุง
1372
+
1373
+ 344
1374
+ 00:28:40,840 --> 00:28:45,880
1375
+ ุญุฏูŠุซุŒ ูŠุนุชุจุฑ ู‡ุฐุง ุงู„ุชุนุฑูŠู ุชุนุฑูŠูุง ุญุฏูŠุซุงุŒ ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง
1376
+
1377
+ 345
1378
+ 00:28:46,340 --> 00:28:52,580
1379
+ ูŠุนู†ูŠ ุนุฑูู†ุง ุงู„ุชุนุฑูŠู ู„ุฃู† ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉุŒ ูˆู‡ุฐุง
1380
+
1381
+ 346
1382
+ 00:28:52,580 --> 00:28:57,240
1383
+ ุตุญูŠุญุŒ ุทุฑูŠู‚ุฉ ุดุงู…ู„ุฉ ู…ู† ุทุฑู‚ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
1384
+
1385
+ 347
1386
+ 00:28:57,240 --> 00:29:01,500
1387
+ ูŠุณุชุฎุฏู…ู‡ุง ุงู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠุŒ ู„ุฐู† ู‡ู†ุง ุจูŠู† ู…ุง ู‡ูŠ
1388
+
1389
+ 348
1390
+ 00:29:01,500 --> 00:29:07,780
1391
+ ูˆุจูŠู† ูƒูŠููŠุฉ ุจุฃู† ุงู„ุฃุฎุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ู‡ูˆ ุงู„ุฐูŠ ูŠู…ุงุฑุณ
1392
+
1393
+ 349
1394
+ 00:29:07,780 --> 00:29:14,500
1395
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูˆุจุงุนุชุจุงุฑ ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ู† ุทุฑู‚
1396
+
1397
+ 350
1398
+ 00:29:14,500 --> 00:29:19,120
1399
+ ู…ู‡ู†ุฉ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ุฅู†ุฌุงุฒ ุงู„ู…ู‡ุงู… ุงู„ู…ุชุถู…ู†ุฉ ููŠ
1400
+
1401
+ 351
1402
+ 00:29:19,120 --> 00:29:24,140
1403
+ ุงู„ุชู‚ุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ุจุตูุฉ ุนุงู…ุฉ ุฅุฐุง ุงู„ุฅูŠุฌุงุจูŠุงุช ุงู„ุชุนุฑูŠู
1404
+
1405
+ 352
1406
+ 00:29:24,140 --> 00:29:29,740
1407
+ ุฃูˆู„ ุดูŠุก ุจูŠู‘ู† ุฃู† ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ู…ู† ุทุฑู‚ ุงู„ุฎุฏู…ุฉ
1408
+
1409
+ 353
1410
+ 00:29:29,740 --> 00:29:35,500
1411
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู‡ุฐุง ุดูŠุก ุฅูŠุฌุงุจูŠ ูˆุงุถุญุŸ ูˆู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ
1412
+
1413
+ 354
1414
+ 00:29:35,500 --> 00:29:40,540
1415
+ ุชุชุถู…ู† ุนู…ู„ูŠุฉุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุชุชุถู…ู† ุนู…ู„ูŠุฉ ู…ุง ู‡ูŠ
1416
+
1417
+ 355
1418
+ 00:29:40,540 --> 00:29:44,900
1419
+ ุงู„ุนู…ู„ูŠุฉุŸ ู‡ูŠ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ุฃูˆ ุงู„ุชุฎุทูŠุท ุงู„ุชุฎุทูŠุท
1420
+
1421
+ 356
1422
+ 00:29:44,900 --> 00:29:49,960
1423
+ ุงู„ุงุฌุชู…ุงุนูŠ ู‡ูˆ ููŠ ุฅุทุงุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฅุฐุง ุทุฑูŠู‚
1424
+
1425
+ 357
1426
+ 00:29:49,960 --> 00:29:56,560
1427
+ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุงุนุชุจุงุฑู‡ุง ุทุฑูŠู‚ุฉ ูˆู„ูƒู† ูŠู…ุงุฑุณ ุงู„ุชุฎุทูŠุท
1428
+
1429
+ 358
1430
+ 00:29:56,560 --> 00:30:00,960
1431
+ ุงู„ุงุฌุชู…ุงุนูŠ ู…ู† ุฎู„ุงู„ู‡ุง ูƒุนู…ู„ูŠุฉ ููŠ ุฅุทุงุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู…
1432
+
1433
+ 359
1434
+ 00:30:00,960 --> 00:30:05,380
1435
+ ุงู„ู…ุฌุชู…ุนูู„ุฐู„ูƒ ุงู„ุชุฎุทูŠุท ู„ูŠุณ ุทุฑูŠู‚ุฉ ููŠ ุชู„ูƒ ุงู„ู…ุฑุญู„ุฉ ุจู„
1436
+
1437
+ 360
1438
+ 00:30:05,380 --> 00:30:09,960
1439
+ ู‡ูˆ ูŠุนุชุจุฑ ุนู…ู„ูŠุฉ ู…ู† ุนู…ู„ูŠุงุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ
1440
+
1441
+ 361
1442
+ 00:30:09,960 --> 00:30:15,100
1443
+ ู‡ูˆ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ูˆุทุจุนุง ู‡ู†ุง ุฃูˆุถุญ ููŠ ูƒุชุงุจ ู„ู‡
1444
+
1445
+ 362
1446
+ 00:30:15,100 --> 00:30:20,840
1447
+ ุทุจุนุง ู„ุดูŠุฑุงุฑุฏ ุฃูˆุถุญ ุฅู† ุงู„ุชุฎุทูŠุท ุทุจุนุง ุจุชุตู„ ู„ุชุฑุงุณุฉ ูˆูˆุถุน
1448
+
1449
+ 363
1450
+ 00:30:20,840 --> 00:30:24,260
1451
+ ุงู„ุฃูˆู„ูˆูŠุงุช ูˆุงู„ุจุฏุก ุจุงู„ู…ุดูƒู„ุงุช ุงู„ุฃูƒุซุฑ ุนุงู…ูŠุฉ ู‡ุฐู‡
1452
+
1453
+ 364
1454
+ 00:30:24,260 --> 00:30:28,400
1455
+ ุงู„ุฃูˆู„ูˆูŠุงุช ุทุจุนุง ู„ู„ู…ุดูƒู„ุงุช ูˆุงู„ุญุงุฌุงุช ุจุงู„ู†ุณุจุฉ ู„ู„ู…ุฌุชู…ุน
1456
+
1457
+ 365
1458
+ 00:30:28,400 --> 00:30:35,010
1459
+ ู„ูƒู† ู…ุง ุฃุดุงุฑุด ูˆุงู†ุทุญุนู† ุงู„ุฃู‡ุฏุงู ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ุทุฑูŠู‚ุฉ ู…ุง
1460
+
1461
+ 366
1462
+ 00:30:35,010 --> 00:30:40,350
1463
+ ุนุจู‘ุฑุด ุนู†ู‡ุง ูˆู„ูƒู† ู‡ู†ุง ุนุจู‘ุฑ ุนู† ุฃูŠู‡ุŸ ุนู† ุงู„ุฃู‡ุฏุงู ุงู„ุฎุงุตุฉ
1464
+
1465
+ 367
1466
+ 00:30:40,350 --> 00:30:44,910
1467
+ ุจุงู„ุฌูˆุงู†ุจ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ุฅู†ุฌุงุฒ ุงู„ู…ู‡ุงู… ุงู„ู…ุถู…ู†ุฉ ููŠ
1468
+
1469
+ 368
1470
+ 00:30:44,910 --> 00:30:48,550
1471
+ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ู„ูƒู† ุงุญู†ุง ุจู†ู‚ูˆู„ ุงู„ุชุฎุทูŠุท ูŠูุนุชุจุฑ
1472
+
1473
+ 369
1474
+ 00:30:48,550 --> 00:30:54,370
1475
+ ุนู…ู„ูŠุฉ ู…ู† ุถู…ู† ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ู„ู… ูŠุดุฑ ุฅู„ู‰
1476
+
1477
+ 370
1478
+ 00:30:54,370 --> 00:30:58,990
1479
+ ุงู„ู…ู…ุงุฑุณ ู„ู„ุทุฑูŠู‚ุฉ ู‡ู„ ุฃุดุงุฑุŸ ูƒูŠููŠุฉุŸ ุจุฑุถู‡ ู‡ุฐุง ูŠูุนุชุจุฑ
1480
+
1481
+ 371
1482
+ 00:30:58,990 --> 00:31:00,490
1483
+ ุฃูŠู‡ุŸ ูŠุนู†ูŠ
1484
+
1485
+ 372
1486
+ 00:31:04,910 --> 00:31:09,230
1487
+ ุฃูˆ ู†ุนู…ุŒ ุฅุฐู† ู‡ู†ุง ุฃุดุงุฑุฉ ุฅู„ู‰ ุงู„ู…ู…ุงุฑุณ ู„ุทุฑูŠู‚ ุงู„ุช๏ฟฝ๏ฟฝุธูŠู…
1488
+
1489
+ 373
1490
+ 00:31:09,230 --> 00:31:13,410
1491
+ ุงู„ู…ุฌุชู…ุนูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃู‚ุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ู‡ูˆ ุงู„ุฐูŠ ูŠู…ุงุฑุณ
1492
+
1493
+ 374
1494
+ 00:31:13,410 --> 00:31:17,930
1495
+ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูŠุŒ ุฅุฐู† ุฌูˆุงู†ุจ ุงู„ุฅูŠุฌุงุจูŠุงุชุŒ ู‚ู„ู†ุง
1496
+
1497
+ 375
1498
+ 00:31:17,930 --> 00:31:23,470
1499
+ ุจูŠู‘ู† ู…ุง ู‡ูŠุŒ ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ุจูŠู‘ู† ูƒูŠููŠุฉุŒ ูˆู‡ูŠ ูˆุฌูˆุฏ
1500
+
1501
+ 376
1502
+ 00:31:23,470 --> 00:31:28,490
1503
+ ุงู„ุฃู‚ุตุงุฆูŠ ุงู„ุงุฌุชู…ุงุนูŠ ู„ู…ู…ุงุฑุณุฉ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนูŠุŒ
1504
+
1505
+ 377
1506
+ 00:31:28,490 --> 00:31:33,530
1507
+ ูˆู‡ุฐุง ูŠุนุชุจุฑ ุฌุงู†ุจ ุฅูŠู‡ุŸ ุฌุงู†ุจ ุฅูŠุฌุงุจูŠ ููŠ ุชุนุฑูŠู Thomas
1508
+
1509
+ 378
1510
+ 00:31:33,530 --> 00:31:38,330
1511
+ ShererูˆุงุถุญุŸ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุฅูŠุฌุงุฒ ูŠุนู†ูŠ ู†ุณุชุทูŠุน ุฃู† ู†ุจูŠู†
1512
+
1513
+ 379
1514
+ 00:31:38,330 --> 00:31:44,550
1515
+ ุงู„ุฅูŠุฌุงุจูŠุงุช ููŠ ุงู„ุชุนุฑูŠู ูƒุฐู„ูƒ ุจูŠู† ู†ุงุญูŠุฉ ุฅูŠุฌุงุจูŠุฉ ุซุงู„ุซุฉ
1516
+
1517
+ 380
1518
+ 00:31:44,550 --> 00:31:50,390
1519
+ ุจุงุนุชุจุงุฑ ุฃู† ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ูŠ ุฃุญุฏู‰ ุทุฑู‚ ุงู„ุฎุฏู…ุฉ
1520
+
1521
+ 381
1522
+ 00:31:50,390 --> 00:31:56,610
1523
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู‡ุฐุง ูŠุนุชุจุฑ ุฃูŠุถุง ุฅูŠุฌุงุจูŠ ูŠุนุชุจุฑ ุฅูŠุฌุงุจูŠ ููŠ
1524
+
1525
+ 382
1526
+ 00:31:56,610 --> 00:32:02,030
1527
+ ุงู„ุชุนุฑูŠู ูˆู‡ุฐุง ุทุจุนุง ู„ุฃู† ุนู†ุฏู†ุง ุงู„ุทุฑู‚ ุงู„ุฃุณุงุณูŠุฉ ุงู„ูุฑู‚
1528
+
1529
+ 383
1530
+ 00:32:02,030 --> 00:32:07,040
1531
+ ูˆุงู„ุฌู…ุงุนุฉูˆู…ุฌุชู…ุน ูˆุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชุฎุชุต ุจุงู„ู…ุฌุชู…ุน
1532
+
1533
+ 384
1534
+ 00:32:07,040 --> 00:32:11,620
1535
+ ูˆู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูˆุฏุฑุงุณุฉ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูˆู…ุณุงุนุฏุฉ
1536
+
1537
+ 385
1538
+ 00:32:11,620 --> 00:32:15,860
1539
+ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุนู„ุงุฌ ู…ุดูƒู„ุชู‡ ูุฅุฐุง ู‡ูŠ ุทุฑูŠู‚ุฉ ู…ู† ุทุฑู‚
1540
+
1541
+ 386
1542
+ 00:32:15,860 --> 00:32:20,880
1543
+ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ุฅูŠุฌุงุจูŠุงุช ุงู„ุฎุงุตุฉ
1544
+
1545
+ 387
1546
+ 00:32:20,880 --> 00:32:25,140
1547
+ ุจุงู„ุชุนุฑูŠู Thomas Sherer ุทุจ ู„ูˆ ุฃุฌูŠู†ุง ู„ู„ุณู„ุจูŠุงุช ููŠ
1548
+
1549
+ 388
1550
+ 00:32:25,140 --> 00:32:25,720
1551
+ ุงู„ุชุนุฑูŠู
1552
+
1553
+ 389
1554
+ 00:32:29,790 --> 00:32:33,990
1555
+ ุจูŠูุชู‚ุฏ ุฅู„ู‰ ุชูˆุถูŠุญ ุงู„ุฃู‡ุฏุงู ุงู„ุฎุงุตุฉ ุจุงู„ุทุฑูŠู‚ุฉุŒ ุจุงู„ุฑุบู…
1556
+
1557
+ 390
1558
+ 00:32:33,990 --> 00:32:38,070
1559
+ ุฅู†ู‡ ุฃุดุงุฑ ุฅู„ู‰ ุงู„ุทุฑูŠู‚ุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูŠ
1560
+
1561
+ 391
1562
+ 00:32:38,070 --> 00:32:40,990
1563
+ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠุŒ ู„ูƒู† ุฃุญู†ุง ุจู†ู‚ูˆู„ ู‡ู†ุง ุงู„ุชุฎุทูŠุท
1564
+
1565
+ 392
1566
+ 00:32:40,990 --> 00:32:44,710
1567
+ ุงู„ุงุฌุชู…ุงุนูŠ ูŠุนุชุจุฑ ุนู…ู„ูŠุฉ ู…ู† ุนู…ู„ูŠุงุช ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1568
+
1569
+ 393
1570
+ 00:32:44,710 --> 00:32:50,370
1571
+ ุงู„ู…ุฌุชู…ุนุŒ ู„ูƒู† ู‡ูˆ ููŠ ุชุนุฑูŠูู‡ ู„ู… ูŠุจูŠู† ุฃูˆ ู„ู… ูŠูˆุถุญ ุฃู‡ุฏุงู
1572
+
1573
+ 394
1574
+ 00:32:50,370 --> 00:32:54,810
1575
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ูˆู‡ุฐุง ูŠุนุชุจุฑ ุฃูŠุถู‹ุง ู…ู† ุงู„ู…ุคุงุฎุฏ
1576
+
1577
+ 395
1578
+ 00:32:54,810 --> 00:33:00,340
1579
+ ุงู„ุชูŠ ูŠุนู†ูŠ ุชูุฎุฏ ุนู„ู‰ ุชุนุฑูŠู Thomas Shererู‡ูˆ ุฃุดู‡ุฑ
1580
+
1581
+ 396
1582
+ 00:33:00,340 --> 00:33:07,020
1583
+ ู„ู„ู…ู…ุงุฑุณูŠู† ู„ู„ุทุฑูŠู‚ุฉ ู…ุด ู„ู„ุทุฑูŠู‚ุฉ ู‡ูˆ Thomas ู‡ูˆ ุฃุดู‡ุฑ
1584
+
1585
+ 397
1586
+ 00:33:07,020 --> 00:33:10,820
1587
+ ู„ู„ู…ู…ุงุฑุณ ู„ู„ุทุฑูŠู‚ุฉ ู‡ู‰ ู„ุง ุจุณ ุงู„ู…ู…ุงุฑุณูŠู† ู‡ู… ู…ูŠู†ุŸ ู„ุฎุตุงุฆุฑ
1588
+
1589
+ 398
1590
+ 00:33:10,820 --> 00:33:15,980
1591
+ ุงู„ุงุฌุชู…ุงุน ูŠุจู‚ู‰ ู‡ู‰ ุงุณุชุฎุฏู…ู‡ ู„ุฎุตุงุฆุฑ ุงู„ุงุฌุชู…ุงุน ุงู„ู…ู…ุงุฑุณูŠู†
1592
+
1593
+ 399
1594
+ 00:33:15,980 --> 00:33:21,000
1595
+ ู„ู„ุทุฑูŠู‚ุฉ ู…ูŠู† ู‡ู…ุŸ ู„ุฎุตุงุฆุฑ ุงู„ุงุฌุชู…ุงุนูŠูŠู† ูˆุงุถุญุŸ ุงู‡
1596
+
1597
+ 400
1598
+ 00:33:21,000 --> 00:33:23,860
1599
+ ุงู„ู…ู…ุงุฑุณ ูˆ ู„ุฎุตุงุฆุฑ ุงู„ุงุฌุชู…ุงุน ุงู‡
1600
+
1601
+ 401
1602
+ 00:33:27,400 --> 00:33:32,580
1603
+ ุงู„ุงู† ุณู†ูƒู…ู„ ุงู„ุชุนุฑูŠูุงุช ููŠ ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท ุงู„ู„ู‰ ู…ุฑุถ
1604
+
1605
+ 402
1606
+ 00:33:32,580 --> 00:33:36,580
1607
+ ุจูŠู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุงู„ูˆุทู† ุงู„ุนุฑุจูŠ ุชู‚ูˆู„
1608
+
1609
+ 403
1610
+ 00:33:36,580 --> 00:33:41,860
1611
+ ุงู„ุชุนุฑูŠูุงุช ุงู„ุนุฑุจูŠุฉ ูŠุนู†ูŠ ุฎุงุตุฉ ููŠ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ
1612
+
1613
+ 404
1614
+ 00:33:41,860 --> 00:33:47,520
1615
+ ู…ู† ุงู„ุฑูˆุงุฏ ุงู„ุฃูˆุงุฆู„ ู„ู…ู…ุงุฑุณูŠ ุงู„ูุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุทุฑู‚ู‡ุง
1616
+
1617
+ 405
1618
+ 00:33:47,520 --> 00:33:52,300
1619
+ ุงู„ุซู„ุงุซ ูˆู…ู† ุจูŠู†ู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุจุนุง ู‡ู†ุง ููŠ
1620
+
1621
+ 406
1622
+ 00:33:52,300 --> 00:33:59,120
1623
+ ุชุทูˆุฑุงุช ู…ุชู„ุงุญู‚ุฉ ููŠ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉู…ู†ุฐ ุนุงู… 1952
1624
+
1625
+ 407
1626
+ 00:33:59,120 --> 00:34:07,040
1627
+ ุทูˆุฑ ุงู„ู€ 23 ูŠูˆู„ูŠูˆ ุทุจุนุงู‹ ุบูŠุฑุช ูƒุซูŠุฑ ู…ู† ู…ุนุงู„ู… ูˆู…ู„ุงุจุญ
1628
+
1629
+ 408
1630
+ 00:34:07,040 --> 00:34:12,940
1631
+ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุตุฑูŠ ูู„ุฐู„ูƒ ุญุฏุซ ุนู†ุฏู†ุง ู‡ู†ุง ุชุบูŠุฑุงุช ููŠ
1632
+
1633
+ 409
1634
+ 00:34:12,940 --> 00:34:18,340
1635
+ ุงู„ุจู†ุงุก ุงู„ุงู‚ุชุตุงุฏูŠ ูˆุงู„ุงุฌุชู…ุงุนูŠ ูˆุงู„ุณูŠุงุณูŠ ูู„ุฐู„ูƒ ุญุฏุซุช
1636
+
1637
+ 410
1638
+ 00:34:18,340 --> 00:34:25,110
1639
+ ูƒุซูŠุฑ ู…ู† ุงู„ุชุบูŠุฑุงุช ุนู†ุฏ ุงู„ู†ุงุณ ูˆุฎุงุตุฉุธู‡ุฑุช ู‚ูˆุงู†ูŠู† ูƒุซูŠุฑุฉ
1640
+
1641
+ 411
1642
+ 00:34:25,110 --> 00:34:29,850
1643
+ ู…ู† ู‚ุงู†ูˆู† ุงู„ุฅุตู„ุงุญ ุงู„ุฒุฑุงุนูŠ ูˆุธู‡ุฑุช ุจุนุฏ ุฐู„ูƒ ุงู„ู„ูŠ ู‡ูŠ
1644
+
1645
+ 412
1646
+ 00:34:29,850 --> 00:34:35,010
1647
+ ุงู„ุชุนู…ูŠู… ุฃูˆ ุงู„ุชุฃู…ูŠู… ุนู†ุฏู‡ู… ูˆ ูƒุฐู„ูƒ ุฅุนุทุงุก ุงู„ุฃุฑุงุถูŠ
1648
+
1649
+ 413
1650
+ 00:34:35,010 --> 00:34:40,490
1651
+ ู„ู„ูู„ุงุญูŠู† ุงู„ูู‚ุฑุงุก ุฒุฑุงุนุชู‡ุง ูˆ ุฃูŠุถุง ูƒุซูŠุฑ ู…ู† ุงู„ุฃู…ูˆุฑ
1652
+
1653
+ 414
1654
+ 00:34:40,490 --> 00:34:45,580
1655
+ ูู„ุฐู„ูƒ ููŠ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉุธู‡ุฑุช ุงู„ู„ูŠ ู‡ูŠ ุฃู‡ู…ูŠุฉ ุงู„ุชุฎุทูŠุจ
1656
+
1657
+ 415
1658
+ 00:34:45,580 --> 00:34:51,820
1659
+ ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุตุฑูŠ ูƒุฐู„ูƒ ููŠ ุงู„ุณุชูŠู†ุงุช ููŠ
1660
+
1661
+ 416
1662
+ 00:34:51,820 --> 00:34:55,880
1663
+ ู…ุฑุญู„ุฉ ุงู„ุณุชูŠู†ุงุช ุธู‡ุฑ ุงู„ุชุทุจูŠู‚ ุงู„ุงุดุชุฑุงูƒูŠ ููŠ ุฌู…ู‡ูˆุฑูŠุฉ
1664
+
1665
+ 417
1666
+ 00:34:55,880 --> 00:35:03,240
1667
+ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ูˆู…ู„ูƒูŠุฉ ุงู„ุดุนุจ ู„ูˆุณุงุฆู„ ุงู„ุฅู†ุชุงุฌ ูˆูƒุฐู„ูƒ ุงู„ู„ูŠ
1668
+
1669
+ 418
1670
+ 00:35:03,240 --> 00:35:07,840
1671
+ ู‡ูŠ ุฅุญุฏุงุซ ุดุนูˆุฑ ูˆุทู†ูŠ ุณุงุฆู„ ุจุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ุงู„ู…ุตุฑูŠ
1672
+
1673
+ 419
1674
+ 00:35:07,840 --> 00:35:11,980
1675
+ ูˆุญุฏุซ ุชู‚ุงุฑุจ ุจูŠู† ูุฆุงุช ุงู„ู…ุฌุชู…ุนู…ุง ุจูŠู† ุงู„ูู‚ุฑุงุก
1676
+
1677
+ 420
1678
+ 00:35:11,980 --> 00:35:15,360
1679
+ ูˆุงู„ุฃุบู†ูŠุงุก ูˆู‡ู†ุง ุงุญุชู…ู‰ ุงู„ู†ุธุงู… ุงู„ุงุดุชุฑุงูƒูŠ ุจู‚ุงู…ุฉ
1680
+
1681
+ 421
1682
+ 00:35:15,360 --> 00:35:19,860
1683
+ ุงู„ุชู†ุธูŠู…ุงุช ุงู„ุดุนุจูŠุฉ ูˆุงู„ุณูŠุงุณูŠุฉ ุงู„ุชูŠ ุชูƒูู„ ุงู„ุดุนุจ
1684
+
1685
+ 422
1686
+ 00:35:19,860 --> 00:35:25,480
1687
+ ุงู„ู…ุดุงุฑูƒุฉ ุงู„ุฅูŠุฌุงุจูŠุฉ ููŠ ุฑุณู… ุณูŠุงุณุฉ ุงู„ุจู„ุงุฏ ุจู…ุง ูŠุญู‚ู‚
1688
+
1689
+ 423
1690
+ 00:35:25,480 --> 00:35:31,190
1691
+ ุงู„ุนุฏุงู„ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู…ู…ุงุฑุณุฉ ุงู„ุญูŠุงุฉ ุงู„ุฏูŠู…ู‚ุฑุงุทูŠุฉูˆุนู„ู‰
1692
+
1693
+ 424
1694
+ 00:35:31,190 --> 00:35:35,470
1695
+ ู‡ุฐุง ู„ุง ูŠู…ูƒู† ุฃู† ู†ูุตู„ ุจูŠู† ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท ูˆุงู„ุชู†ู…ูŠุฉ ููŠ
1696
+
1697
+ 425
1698
+ 00:35:35,470 --> 00:35:40,050
1699
+ ู‡ุฐู‡ ุงู„ู…ุฑุญู„ุฉ ู„ุฃู† ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท ู…ุฑุชุจุทุฉ ุจุงู„ุชู†ู…ูŠุฉ
1700
+
1701
+ 426
1702
+ 00:35:40,050 --> 00:35:44,910
1703
+ ูˆุงู„ุชู†ู…ูŠุฉ ู…ุฑุชุจุทุฉ ุจุงู„ุชุฎุทูŠุท ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ุธู‡ุฑุช ุชุนุฑูŠูุงุช
1704
+
1705
+ 427
1706
+ 00:35:44,910 --> 00:35:50,410
1707
+ ูŠุนู†ูŠ ุชุฌู…ุน ู…ุง ุจูŠู† ุงู„ุชุฎุทูŠุท ูˆุงู„ุชู†ู…ูŠุฉ ูˆูƒุฐู„ูƒ ุฌู…ุนุช ุจุนุถ
1708
+
1709
+ 428
1710
+ 00:35:50,410 --> 00:35:54,530
1711
+ ุงู„ุชุนุฑูŠูุงุช ู…ุง ุจูŠู† ุงู„ุชู†ุณูŠู‚ ูˆุงู„ุชุฎุทูŠุท ูˆุงู„ุชู†ู…ูŠุฉ ูˆุงู„ุฏูุงุน
1712
+
1713
+ 429
1714
+ 00:35:54,530 --> 00:36:00,210
1715
+ ูู„ุฐู„ูƒ ู‡ู†ุงูƒ ุจุนุถ ุงู„ุชุนุฑูŠูุงุช ุฃู‚ุฑุจ ุฅู„ู‰ ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท
1716
+
1717
+ 430
1718
+ 00:36:00,400 --> 00:36:07,000
1719
+ ู…ู†ู‡ุง ุฅู„ู‰ ู…ุฑุญู„ุฉ ุงู„ุชู†ู…ูŠุฉ ุทุจุนุง ู…ุซู„ ู‡ุฐู‡ ุงู„ุชุนุฑูŠูุงุช ุงู„ู„ูŠ
1720
+
1721
+ 431
1722
+ 00:36:07,000 --> 00:36:11,400
1723
+ ู‡ูŠ ุชุนุฑูŠู ุงู„ุฏูƒุชูˆุฑ ุฃุญู…ุฏ ูƒู…ุงู† ุฃุญู…ุฏ ูˆ ุงู„ุฏูƒุชูˆุฑ ุนุฏู„ูŠ
1724
+
1725
+ 432
1726
+ 00:36:11,400 --> 00:36:18,800
1727
+ ุณู„ูŠู…ุงู† ุนุงู… 1961 ููŠ
1728
+
1729
+ 433
1730
+ 00:36:18,800 --> 00:36:22,440
1731
+ ุนู†ุฏู†ุง ุงู„ุฏูƒุชูˆุฑ ุฃุญู…ุฏ ูƒู…ุงู† ุฃุญู…ุฏ ูˆ ุนุฏู„ูŠ ุณู„ูŠู…ุงู† ุฑุญู…ู‡
1732
+
1733
+ 434
1734
+ 00:36:22,440 --> 00:36:27,740
1735
+ ุงู„ู„ู‡ ุนู„ูŠู‡ู…ุง ูˆ ุนู„ู‰ ุณุช ุฐุชู†ุง ุฌู…ูŠุนุง ุงู„ุฃุญูŠุงุก ู…ู†ู‡ู…
1736
+
1737
+ 435
1738
+ 00:36:27,740 --> 00:36:32,430
1739
+ ุงู„ุฃู…ูˆุงุช ูู„ุฐู„ูƒุงู„ุฏูƒุชูˆุฑ ุฃุญู…ุฏ ูƒู…ุงู„ ูˆ ุนุฏู„ ุณู„ูŠู…ุงู† ูƒุงู†ูˆุง
1740
+
1741
+ 436
1742
+ 00:36:32,430 --> 00:36:38,750
1743
+ ู…ู† ุงู„ุฃุณุงุชุฐุฉ ุงู„ุฐูŠู† ุฏุฑุณูˆู†ุง ููŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููƒุงู†
1744
+
1745
+ 437
1746
+ 00:36:38,750 --> 00:36:42,170
1747
+ ุงู„ุฏูƒุชูˆุฑ ุฃุญู…ุฏ ูƒู…ุงู„ ุจูŠุนุทูŠู†ุง ุงู„ู„ูŠ ู‡ูŠ ู…ุงุฏุฉ ุงู„ุชู†ุธูŠู…
1748
+
1749
+ 438
1750
+ 00:36:42,170 --> 00:36:46,850
1751
+ ุงู„ุงุฌุชู…ุงุนูŠ ูˆ ูƒุฐู„ูƒ ู…ุงุฏุฉ ุฃุฎุฑู‰ ุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ุฃู…ุง
1752
+
1753
+ 439
1754
+ 00:36:46,850 --> 00:36:55,210
1755
+ ุงู„ุนุฏู„ ุณู„ูŠู…ุงู† ูƒุงู† ูŠุนุทูŠู†ุง ู…ุฌุงู„ุงุช
1756
+
1757
+ 440
1758
+ 00:36:55,210 --> 00:36:58,350
1759
+ ููŠ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆ ู…ู†ู‡ุง ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
1760
+
1761
+ 441
1762
+ 00:36:58,690 --> 00:37:02,510
1763
+ ุงู„ู…ุฏุฑุณูŠุฉ ู„ูƒู† ู„ู‡ ูƒุงู† ุฏูˆุฑ ููŠ ุงู„ุชุฎุทูŠุจ ู„ุฃู†ู‡ ูƒุงู† ุนู…ู„ู‡
1764
+
1765
+ 442
1766
+ 00:37:02,510 --> 00:37:05,890
1767
+ ุจุงู„ุงุถุงูุฉ ู„ุชุฏู…ุฉ ุฅุฌุชู…ุงุนูŠุฉ ุนู†ุฏู†ุง ุนุฏุฏ ุณู„ูŠู…ุงู† ูƒุงู†
1768
+
1769
+ 443
1770
+ 00:37:05,890 --> 00:37:10,290
1771
+ ู…ุณุชุดุงุฑ ู„ู„ุฃู…ู… ุงู„ู…ุชุญุฏุฉ ุงู„ู…ุณุชุดุงุฑ ุงู„ุงุฌุชู…ุงุนูŠ ุจุงู„ุงุถุงูุฉ
1772
+
1773
+ 444
1774
+ 00:37:10,290 --> 00:37:14,130
1775
+ ุฃุญู…ุฏ ูƒู…ุงู„ ูƒุงู† ุนู…ูŠุฑ ูƒู„ูŠุฉ ุงู„ุชุฏู…ุฉ ุงู„ุฅุฌุชู…ุงุนูŠุฉ ุฃูˆ
1776
+
1777
+ 445
1778
+ 00:37:14,130 --> 00:37:17,070
1779
+ ุงู„ู…ุนู‡ุฏ ุงู„ุนุงู„ูŠ ู„ู„ุชุฏู…ุฉ ุงู„ุฅุฌุชู…ุงุนูŠุฉ ููŠ ุชู„ูƒ ุงู„ู…ุฑุญู„ุฉ
1780
+
1781
+ 446
1782
+ 00:37:17,070 --> 00:37:23,450
1783
+ ุทุจุนุง ู„ู…ุง ู†ุชูƒู„ู… ุงู„ู…ุฑุญู„ุฉ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ุณุจุนูŠู†ุงุช ูุนุฑููˆุง
1784
+
1785
+ 447
1786
+ 00:37:23,450 --> 00:37:28,090
1787
+ ู‡ู†ุง ู…ู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ุฐุง ุชุนุฑูŠู ู…ุดุชุฑูƒูู‡ู†ุง ุชุนุฑูŠู ู…ุดุชุฑูƒ
1788
+
1789
+ 448
1790
+ 00:37:28,090 --> 00:37:32,590
1791
+ ู„ู‡ู…ุง ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุชุนุจุฑ ุนู† ู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท
1792
+
1793
+ 449
1794
+ 00:37:32,590 --> 00:37:37,950
1795
+ ุจู„ ุจุชุนุจุฑ ุนู† ู…ุฑุงุญู„ ุฃุฎุฑู‰ ูุจุฏู†ุง ุทุงู„ุจุฉ ูŠุนู†ูŠ ุชู‚ุฑุฃ ู„ู†ุง
1796
+
1797
+ 450
1798
+ 00:37:37,950 --> 00:37:42,370
1799
+ ุงู„ุชุนุฑูŠูุŒ ุชุนุฑูŠู ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ุฃูŠูˆุง ูŠุง ุจู†ุชูŠ
1800
+
1801
+ 451
1802
+ 00:37:42,370 --> 00:37:44,950
1803
+ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ ู…ู† ุชุฑูƒ ุงู„ุฎุฏู…ุฉ
1804
+
1805
+ 452
1806
+ 00:37:44,950 --> 00:37:47,650
1807
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูŠุณุชุฎุฏู…ู‡ุง ุงู„ุฃุฎุตุงุฆูŠูˆู† ุงู„ุงุฌุชู…ุงุนูŠูˆู†
1808
+
1809
+ 453
1810
+ 00:37:47,650 --> 00:37:51,120
1811
+ ูˆุงู„ู…ุชุทูˆุนูˆู†ู…ู† ุงู„ุดุนุจ ู„ู„ุชุนุงูˆู† ู…ุนู‡ู… ู„ุชู†ุธูŠู… ุงู„ุฌู‡ูˆุฏ
1812
+
1813
+ 454
1814
+ 00:37:51,120 --> 00:37:54,740
1815
+ ุงู„ู…ุดุชุฑูƒุฉ ุญูƒูˆู…ูŠุฉ ูˆุฃู‡ู„ูŠุฉ ูˆููŠ ู…ุฎุชู„ู ุงู„ู…ุณุชูˆูŠุงุช ู„ุชุนุจุฆุฉ
1816
+
1817
+ 455
1818
+ 00:37:54,740 --> 00:37:57,760
1819
+ ุงู„ู…ูˆุงุฑุฏ ๏ฟฝ๏ฟฝู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ุชูŠ ูŠู…ูƒู† ูŠุฌุฏู‡ุง ู„ู…ูˆุงุฌู‡ุฉ
1820
+
1821
+ 456
1822
+ 00:37:57,760 --> 00:38:01,180
1823
+ ุงู„ุญุงุฌุงุช ุงู„ุถุฑูˆุฑูŠุฉุŒ ุฑูู‚ู‹ุง ู„ุฎุทุท ู…ุฑุณูˆู…ุฉ ูˆููŠ ุญุฏูˆุฏ
1824
+
1825
+ 457
1826
+ 00:38:01,180 --> 00:38:06,140
1827
+ ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุฌุชู…ุนุฉ ุจุณุŒ ู‡ุฐุง ุงู„ุชุนู„ูŠู ู…ู†
1828
+
1829
+ 458
1830
+ 00:38:06,140 --> 00:38:09,760
1831
+ ุฎู„ุงู„ ุงู„ู‚ุฑุงุกุฉ ู„ู„ุชุนู„ูŠูุŒ ู…ู† ุงู„ู†ุงู‚ุด ุงู„ุชุนู„ูŠู ู‡ุฐุง ุฌุงุจ
1832
+
1833
+ 459
1834
+ 00:38:09,760 --> 00:38:13,540
1835
+ ุงู„ุจู†ูŠุชูŠ ู„ุนู…ู„ูŠุงุชูŠ ุนู† ุงู„ุดุฑุญ ุงู„ู…ูุณุฑ ู…ู† ุฎู„ุงู„ ู†ุธุฑุฉ ู‡ุฐุง
1836
+
1837
+ 460
1838
+ 00:38:13,540 --> 00:38:16,780
1839
+ ุงู„ุชุนู„ูŠูุŒ ุฅูŠุด ุจู†ุณุชู†ุชุฌ ู…ู†ู‡ุŸ ูƒู„ ุทุงู„ุจ ุจุฏู‡ุง ุชู‚ูˆู„
1840
+
1841
+ 461
1842
+ 00:38:16,780 --> 00:38:22,970
1843
+ ุงุณุชู†ุชุงุฌู…ุงุฐุง ู†ุณุชู†ุชุฌ ูŠุง ุจู†ุชูŠุŸ ุฅุฐุง ู‡ู†ุง ุจุชุนุฑูŠู ุจูŠู‘ู†
1844
+
1845
+ 462
1846
+ 00:38:22,970 --> 00:38:27,830
1847
+ ู„ู†ุง ุงู„ู…ุงู‡ูŠุฉ ุงู„ุฎุงุตุฉ ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ุจุงุนุชุจุงุฑ
1848
+
1849
+ 463
1850
+ 00:38:27,830 --> 00:38:31,530
1851
+ ุฃู†ู‡ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุฑูŠู‚ุฉ ู…ู† ุทุฑู‚ ุงู„ุฎุฏู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ
1852
+
1853
+ 464
1854
+ 00:38:31,530 --> 00:38:32,190
1855
+ ู…ุงุฐุง ูŠุง ุจู†ุชูŠุŸ
1856
+
1857
+ 465
1858
+ 00:38:36,310 --> 00:38:40,670
1859
+ ุงู„ูƒูŠููŠุฉุŒ ุฅุฐุง ู‡ู†ุง ุญุฏุฏ ุฃู„ู…ุฉ ููŠ ุงู„ุชุนุฑูŠู ุจุฃู†ู‡ ุงู„ุฐูŠ
1860
+
1861
+ 466
1862
+ 00:38:40,670 --> 00:38:45,670
1863
+ ูŠู…ุงุฑุณ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ู…ูŠู† ุงู„ุฃุฎุตุงุฆูŠูˆู†
1864
+
1865
+ 467
1866
+ 00:38:45,670 --> 00:38:51,650
1867
+ ุงู„ุฃุฌุชู…ุงุนูŠูˆู† ูˆุฃุถุงู ู…ุนู‡ู… ุงู„ู…ุชุทูˆุฑูˆู†ุŒ ูŠุนู†ูŠ ู„ูŠุณ
1868
+
1869
+ 468
1870
+ 00:38:51,650 --> 00:38:55,990
1871
+ ุงู„ุฃุฎุตุงุฆูŠูˆู† ู„ูˆุญุฏู‡ู…ุŒ ู„ูƒู† ุฃุถุงู ู…ุนู‡ู… ุงู„ู…ุชุทูˆุฑูˆู†ุŒ ู…ุงุฏุฉ
1872
+
1873
+ 469
1874
+ 00:38:55,990 --> 00:39:00,130
1875
+ ุฃูŠุถู‹ุงุŒ ุชุนุฑูŠู ุจูŠู‡ุง ุฏุฑุณุชุงู† ุชุฌู…ูŠู„ ูƒุฏู‡ ุฃูŠู‡ุŸ ุฃูŠ ูˆุงุจุฏุŸ
1876
+
1877
+ 470
1878
+ 00:39:00,130 --> 00:39:02,970
1879
+ ุชู†ุธูŠู… ุงู„ุฌู‡ูˆุฏ ุงู„ู…ุดุชุฑูƒุฉ ุญูƒูˆู…ูŠุฉ ูˆุนุงู„ู…ูŠุฉ ุฏูŠ ููŠ ุฏูˆุฑุชุงู†
1880
+
1881
+ 471
1882
+ 00:39:02,970 --> 00:39:08,320
1883
+ ุณูˆุฑูŠุงุฑุจุท ู…ุง ุจูŠู† ุงู„ุฌู‡ูˆุฏ ุงู„ุญูƒูˆู…ูŠุฉ ูˆุงู„ุฌู‡ูˆุฏ ุงู„ุฃู‡ู„ูŠุฉุŒ
1884
+
1885
+ 472
1886
+ 00:39:08,320 --> 00:39:12,480
1887
+ ุนู„ู‰ ุฅุนุชุจุงุฑ ุฃู† ุงู„ุฌู‡ูˆุฏ ู…ุดุชุฑูƒุฉุŒ ููŠ ู…ุฎุชู„ู ุงู„ู…ุณุชูˆูŠุงุชุŒ
1888
+
1889
+ 473
1890
+ 00:39:12,480 --> 00:39:21,480
1891
+ ุฅูŠุด ูŠุนู†ูŠ ู…ุฎุชู„ู ุงู„ู…ุณุชูˆูŠุงุชุŸ ู…ุฎุชู„ู
1892
+
1893
+ 474
1894
+ 00:39:21,480 --> 00:39:26,360
1895
+ ุงู„ู…ุณุชูˆูŠุงุช ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ูˆุงู„ุงู‚ู„ูŠู…ูŠ
1896
+
1897
+ 475
1898
+ 00:39:26,360 --> 00:39:31,840
1899
+ ูˆุงู„ู‚ูˆูŠุŒ ูŠุนู†ูŠ ุนู„ู‰ ูƒุงูุฉ ุงู„ู…ุณุชูˆูŠุงุช ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ู„ูŠุณ
1900
+
1901
+ 476
1902
+ 00:39:31,840 --> 00:39:35,960
1903
+ ุนู„ู‰ ู…ุณุชูˆู‰ ู…ุญู„ูŠ ูู‚ุทูˆู„ุง ุนู„ู‰ ู…ุณุชูˆู‰ .. ุจู„ ุนู„ู‰ ูƒุงูุฉ
1904
+
1905
+ 477
1906
+ 00:39:35,960 --> 00:39:40,380
1907
+ ุงู„ู…ุณุชูˆูŠุงุช ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ูˆุงุถุญุŸ ุจุชุนุจุฆุฉ ู„ุฅูŠู‡ุŸ ุงู„ู…ูˆุงุฑุฏ
1908
+
1909
+ 478
1910
+ 00:39:40,380 --> 00:39:44,840
1911
+ ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ุชูŠ ูŠู…ูƒู† ุฅูŠุฌุงุฏู‡ุงุŒ ู‡ุฐุง ุจุนุจุฑ ุนู†
1912
+
1913
+ 479
1914
+ 00:39:44,840 --> 00:39:49,660
1915
+ ุงู„ุชุฎุทูŠุทุŒ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุฌูˆุฏุฉ ุฃูˆ ุงู„ุชูŠ ูŠู…ูƒู† ุฃู† ุชูˆุฌุฏ ุฃูˆ
1916
+
1917
+ 480
1918
+ 00:39:49,660 --> 00:39:54,060
1919
+ ุงู„ุชูŠ ูŠู…ูƒู† ุฅูŠุฌุงุฏู‡ุงุŒ ู„ู…ูˆุงุฌู‡ุฉ ู…ุงุฐุงุŸ ุงู„ุญุงุฌุงุช ุงู„ุถุฑูˆุฑูŠุฉ
1920
+
1921
+ 481
1922
+ 00:39:54,730 --> 00:39:58,830
1923
+ ูˆูู‚ู‹ุง ู„ุฎุทุท ู…ุฑุณูˆู…ุฉ ูˆููŠ ุญุฏูˆุฏ ุงู„ุณูŠุงุณุฉ ุงู„ุนุงู…ุฉ ู„ู„ู…ุฌุชู…ุน
1924
+
1925
+ 482
1926
+ 00:39:58,830 --> 00:40:04,610
1927
+ ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ู‡ุฐุง ู‡ูˆ ุงู„ุชุนุฑูŠู
1928
+
1929
+ 483
1930
+ 00:40:04,610 --> 00:40:13,610
1931
+ ูŠุนู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจูŠู‘ู† ุงู„ุทุฑูŠู‚ุฉ ูˆ ุฃูŠุถู‹ุง ู‡ุฏูˆู„ุฉ ุงู„ุฑูˆุงุฏ
1932
+
1933
+ 484
1934
+ 00:40:13,610 --> 00:40:16,110
1935
+ ุงู„ู„ูŠ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ู… ู‚ุจู„ ู‚ู„ูŠู„ ู‡ู… ุฑูˆุงุฏ ุงู„ุฎุฏู…ุฉ
1936
+
1937
+ 485
1938
+ 00:40:16,110 --> 00:40:20,670
1939
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุทุฑู‚ู‡ุง ุซู„ุงุซ ุฑู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุฎุฏู…ุฉ ุงู„ูุฑุฏ
1940
+
1941
+ 486
1942
+ 00:40:20,670 --> 00:40:26,960
1943
+ ูˆุฎุฏู…ุฉ ุงู„ุฌู…ุงุนุฉูˆู‡ุฏูˆู„ุฉ ุทุจุนุง ุงู„ุฑูˆุงุฏ ุงู„ู„ูŠ ุงุญู†ุง ุฐูƒุฑู†ุงู‡ู…
1944
+
1945
+ 487
1946
+ 00:40:26,960 --> 00:40:31,760
1947
+ ุทุจุนุง ูˆุงุตู„ูˆุง ุฏุฑุงุณุชุชู‡ ููŠ ุฃู…ุฑูŠูƒุง ูˆู†ุดุฑูˆุง ุงู„ุฎุฏู…ุฉ
1948
+
1949
+ 488
1950
+ 00:40:31,760 --> 00:40:35,400
1951
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ููŠ ุฌู…ู‡ูˆุฑูŠุฉ ู…ุตุฑ ุงู„ุนุฑุจูŠุฉ ุนู† ุทุฑูŠู‚ ุงู„ุชุนู„ูŠู…
1952
+
1953
+ 489
1954
+ 00:40:35,400 --> 00:40:39,680
1955
+ ุงู„ุฃูƒุงุฏูŠู…ูŠ ูŠุนู†ูŠ ุงู„ุฌุงู…ุนุงุช ูˆุฎุงุตุฉ ูƒู„ูŠุฉ ุงู„ุฎุฏู…ุฉ
1956
+
1957
+ 490
1958
+ 00:40:39,680 --> 00:40:46,200
1959
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุทุจุนุง ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฎุทูŠุท ู‡ู†ุง ุจู…ุงุฑุณ ููŠ
1960
+
1961
+ 491
1962
+ 00:40:46,200 --> 00:40:51,650
1963
+ ุฅุทุงุฑ ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุงู„ุชุนุฑูŠููŠุนู†ูŠ ุฃูˆุถุญ
1964
+
1965
+ 492
1966
+ 00:40:51,650 --> 00:40:56,250
1967
+ ู„ู†ุง ุฃู‡ู…ูŠุฉ ูˆุฌูˆุฏ ุงู„ู…ู‡ู†ูŠูŠู† ู„ูุณุงุฆูŠู† ุงุฌุชู…ุงุนูŠูŠู† ู„ู„ู…ุงุฑุณุฉ
1968
+
1969
+ 493
1970
+ 00:40:56,250 --> 00:41:01,070
1971
+ ููŠ ุงู„ุทุฑูŠู‚ุฉ ูˆุฃูŠุถุง ุฃูƒุฏ ุฃู†ู‡ ุชุนุฑูŠู ุนู„ู‰ ุฃู‡ุฏุงู ุงู„ุทุฑูŠู‚ุฉ
1972
+
1973
+ 494
1974
+ 00:41:01,070 --> 00:41:05,130
1975
+ ู…ุงู‡ูŠ ุฃู‡ุฏุงู ุงู„ุทุฑูŠู‚ุฉุŸ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ุฃูŠูˆุฉ ู…ู†
1976
+
1977
+ 495
1978
+ 00:41:05,130 --> 00:41:13,450
1979
+ ุฐู„ูƒ ุชุนุจุฆุฉ ุงู„ู…ูˆุงุฑุฏ ุงู„ู…ูˆุฌูˆุฏุฉ ุญุงู„ูŠุง
1980
+
1981
+ 496
1982
+ 00:41:13,450 --> 00:41:17,570
1983
+ ุฃูˆ ุงู„ุชูŠ ู…ู…ูƒู† ุฃู† ุชูˆุฌุฏ ูˆูŠู† ููŠ ุงู„ู…ุณุชู‚ุจู„ุŒ ู‡ุฐู‡ ูƒู„ู‡ุง
1984
+
1985
+ 497
1986
+ 00:41:17,570 --> 00:41:21,750
1987
+ ู„ุงุจุฏ ุฃู† ู†ุนุจุฆู‡ุง ู„ุงุณุชุฎุฏุงู…ู‡ุงู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช ูˆ
1988
+
1989
+ 498
1990
+ 00:41:21,750 --> 00:41:27,150
1991
+ ุฃุฌู…ุน ุงู„ุญุงุฌุงุช ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ู…ุงุฐุง ุฃูŠุถุงุŸ ุขู‡ุŒ ู…ุง
1992
+
1993
+ 499
1994
+ 00:41:27,150 --> 00:41:31,630
1995
+ ุงุชูƒู„ู…ุชุดุŒ ู…ูู‡ูˆู…ูŠ ุจู‚ู‰ุŒ ุฃูŠู‡ ุจุงุจู†ุชู‰ุŸ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ุฃุนู…ุงู„
1996
+
1997
+ 500
1998
+ 00:41:31,630 --> 00:41:35,610
1999
+ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰ ุฃุณุงุณ ุนู„ู…ูŠุŒ ู…ุตุฑูŠ ุฃูŠุถุงุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฎุทูŠุท
2000
+
2001
+ 501
2002
+ 00:41:35,610 --> 00:41:39,530
2003
+ ูŠุนู†ู‰ุŒ ุนู…ู„ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู„ุงุจุฏ ุฃู† ูŠุฑุชูƒุฒ ุนู„ู‰
2004
+
2005
+ 502
2006
+ 00:41:39,530 --> 00:41:43,770
2007
+ ุงู„ุชุฎุทูŠุทุŒ ูˆุงู„ุชุฎุทูŠุท ู„ุงุจุฏ ุฃู† ูŠูƒูˆู† ุนู„ู‰ ุฃุณุงุณ ุนู„ู…ูŠุŒ
2008
+
2009
+ 503
2010
+ 00:41:43,770 --> 00:41:45,370
2011
+ ูˆุงุถุญุŸ ุฃูŠู‡ ุจุงุจู†ุชู‰ุŸ
2012
+
2013
+ 504
2014
+ 00:41:49,010 --> 00:41:54,010
2015
+ ุฃู† ูŠูƒูˆู† ุงู„ุชุฎุทูŠุท ุทุจู‚ู‹ุง ู„ู„ุณูŠุงุณุฉ ุงู„ุนุงู…ุฉ ู„ู„ู…ุฌุชู…ุน ูˆู‡ูŠ
2016
+
2017
+ 505
2018
+ 00:41:54,010 --> 00:41:57,910
2019
+ ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงุญู†ุง ุนุงุฑููŠู† ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
2020
+
2021
+ 506
2022
+ 00:41:57,910 --> 00:42:05,090
2023
+ ุจูŠู†ุจุน ู…ู†ู‡ุง ุงู„ุชุฎุทูŠุท ุซู… ู…ู† ุงู„ุชุฎุทูŠุท ุชู†ุจุน ุงู„ุฎุทุท ูˆู…ู†
2024
+
2025
+ 507
2026
+ 00:42:05,090 --> 00:42:11,330
2027
+ ุงู„ุฎุทุท ุชู†ุจุน ุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุฎุฏู…ุงุช ุฅุฐุง ุงู„ุณูŠุงุณุฉ
2028
+
2029
+ 508
2030
+ 00:42:11,330 --> 00:42:16,050
2031
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู‡ูŠ ุงู„ุฃุนู„ู‰ ู…ู† ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู„ู„ู…ุฌุชู…ุน
2032
+
2033
+ 509
2034
+ 00:42:16,050 --> 00:42:22,200
2035
+ ุฃูˆ ู„ู„ุฏูˆู„ุฉ ุชู†ุจุนุงู„ุชุฎุทูŠุท ูˆู…ู† ุงู„ุชุฎุทูŠุท ุงู„ุฎุทุท ูˆู…ู† ุงู„ุฎุทุท
2036
+
2037
+ 510
2038
+ 00:42:22,200 --> 00:42:26,380
2039
+ ุงู„ุจุฑุงู…ุฌ ูˆุงู„ู…ุดุงุฑูŠุน ูˆุงู„ุฎุฏู…ุงุช ุนู„ู‰ ู‡ุฐุง ุงู„ุฃุณุงุณ ูŠุนู†ูŠ
2040
+
2041
+ 511
2042
+ 00:42:26,380 --> 00:42:29,760
2043
+ ู†ุชุจุน ุงู„ุฃุณู„ูˆุจ ุงู„ุนู„ู…ูŠ ููŠ ู…ู‡ู†ุฏุณู†ุง ูˆู…ู…ุงุฑุณุชู†ุง ู…ู† ุทุฑูŠู‚
2044
+
2045
+ 512
2046
+ 00:42:29,760 --> 00:42:34,120
2047
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุฃุณุงุณ ุฃู† ู†ุณุชุฎุฏู… ุงู„ุชุฎุทูŠุท ูˆุงู„ุชุฎุทูŠุท
2048
+
2049
+ 513
2050
+ 00:42:34,120 --> 00:42:38,180
2051
+ ูŠูƒูˆู† ู†ุงุจุน ู…ู† ุฃูŠู‡ุŸ ู…ู† ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆู„ุฐู„ูƒ
2052
+
2053
+ 514
2054
+ 00:42:38,180 --> 00:42:41,900
2055
+ ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ุชุฎุทูŠุท ู…ุฑุชุจุทูŠู† ู…ุน ุจุนุถู‡ู… ุงู„ุจุนุถ
2056
+
2057
+ 515
2058
+ 00:42:41,900 --> 00:42:46,980
2059
+ ูุงู„ุชุฎุทูŠุท ุงู„ู…ุจูˆุท ุฃู† ูŠูƒูˆู† ู…ุชูู‚ ู…ุน ุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
2060
+
2061
+ 516
2062
+ 00:42:46,980 --> 00:42:47,500
2063
+ ู„ู„ู…ุฌุชู…ุน
2064
+
2065
+ 517
2066
+ 00:42:52,020 --> 00:42:55,000
2067
+ ุทูŠุจุŒ ู‡ุฐู‡ ุงู„ู†ูˆุงุญูŠ ุงู„ุฅูŠุฌุงุจูŠุฉุŒ ุทุจ ู…ุง ู‡ูŠ ุงู„ู†ูˆุงุญูŠ
2068
+
2069
+ 518
2070
+ 00:42:55,000 --> 00:43:00,700
2071
+ ุงู„ุณู„ุจูŠุฉ ููŠ ุงู„ุชุนุฑูŠูุŸ ู…ุง ู‡ูŠ ุงู„ู†ูˆุงุญูŠ ุงู„ุณู„ุจูŠุฉุŸ ุฃู‚ูู„
2072
+
2073
+ 519
2074
+ 00:43:00,700 --> 00:43:03,160
2075
+ ู‡ุฐุง ุงู„ type ุฏูˆุฑ ุงู„ู…ู‡ู†ูŠูŠู† ู…ู† ุงู„ุชุฎุตุตุงุช ุงู„ุฃุฎุฑู‰ุŒ ู„ูƒู†
2076
+
2077
+ 520
2078
+ 00:43:03,160 --> 00:43:05,880
2079
+ ูŠู…ูƒู† ุฃู† ูŠุชุนุงูˆู† ู…ุน ุงู„ู…ุธู„ู… ุงู„ุงุฌุชู…ุงุนูŠ ู„ู…ูˆุฌุฉ ุงู„ู…ุดูƒู„ุฉุŒ
2080
+
2081
+ 521
2082
+ 00:43:05,880 --> 00:43:11,040
2083
+ ููŠ ุฅุซุงุฑ ุนู…ู„ ูุฑูŠู‚ ุฃูŠูˆุฉุŒ ููŠ ุฅุซุงุฑุŒ ู„ูƒู† ุฌุงู„ ู…ุชุทูˆุนูŠู†ุŒ
2084
+
2085
+ 522
2086
+ 00:43:11,040 --> 00:43:15,940
2087
+ ุฌุงู„ ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ุชุทูˆุนูŠู†ุŒ ู„ูƒู† ู„ูŠุณ ูƒู„ ู…ุชุทูˆุน ู…ู‡ู†ูŠุŒ
2088
+
2089
+ 523
2090
+ 00:43:15,940 --> 00:43:19,060
2091
+ ูู„ุฐู„ูƒ ู…ุง ูŠู…ูƒู† ุฃู† ู†ุณุชุนูŠู† ุจุงู„ู…ู‡ู† ุงู„ุฃุฎุฑู‰ุŒ ูˆ
2092
+
2093
+ 524
2094
+ 00:43:19,060 --> 00:43:24,680
2095
+ ุจุงู„ู…ู‡ู†ูŠูŠู†ุŒ ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุชูˆุฏุฑุงุณุชู‡ุง ูˆูˆุถุน
2096
+
2097
+ 525
2098
+ 00:43:24,680 --> 00:43:29,040
2099
+ ุงู„ูุถุงุช ุงู„ู„ุงุฒู…ุฉ ู„ุนู„ุงุฌู‡ุง ุฅุฐุง ู‡ู†ุง ุฃู‚ูู„ ู‡ุฐุง ุงู„ุชุนุฑูŠู
2100
+
2101
+ 526
2102
+ 00:43:29,040 --> 00:43:34,120
2103
+ ุงู„ู„ูŠ ู‡ูˆ ุฏูˆุฑ ุงู„ู…ู‡ู†ูŠูŠู† ุงู„ู…ุชุฎุตุตูŠู† ููŠ ุงู„ู…ู‡ู† ุงู„ุฃุฎุฑู‰
2104
+
2105
+ 527
2106
+ 00:43:34,120 --> 00:43:38,460
2107
+ ู„ูŠู‡ุŸ ู„ุฃู† ุงุญู†ุง ุจู†ุนู…ู„ ููŠ ุนู…ู„ ุชูƒุงู…ู„ ุถู…ู† ุงู„ูุฑูŠู‚ุŒ ูุฑูŠู‚
2108
+
2109
+ 528
2110
+ 00:43:38,460 --> 00:43:42,600
2111
+ ุงู„ุนู…ู„ุŒ ู„ุง ู†ุนู…ู„ ู„ูˆุญุฏู†ุง ูƒุชุตูŠู† ุงุฌุชู…ุงุนูŠูŠู† ูˆู„ูƒู† ู†ุนู…ู„ ููŠ
2112
+
2113
+ 529
2114
+ 00:43:42,600 --> 00:43:47,440
2115
+ ุฅุทุงุฑ ูุฑูŠู‚ุŒ ู†ูƒุงูู„ ุชุฎุตุงุช ู…ู† ุฃุฌู„ ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุฉุŒ ู„ุฐู„ูƒ
2116
+
2117
+ 530
2118
+ 00:43:47,440 --> 00:43:52,550
2119
+ ู…ู† ู‡ู†ุง ูŠุนุชุจุฑ ู‡ุฐุง general ูŠุนู†ูŠ ู†ู‚ุต ููŠ ุงู„ุชุนุฑูŠูู…ุงุฐุง
2120
+
2121
+ 531
2122
+ 00:43:52,550 --> 00:43:58,410
2123
+ ุฃูŠุถู‹ุงุŸ ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู‡ูˆ ู†ู‚ุต ู„ู„ู…ุดุงุฑูƒูŠู† ุงู„ุฃุฎุฑูŠู†
2124
+
2125
+ 532
2126
+ 00:43:58,410 --> 00:44:02,770
2127
+ ุฌุนู„ู‡ ุฃู†ู‡ ู…ู…ูƒู† ูŠุถุน ุชุนุฑูŠู ุขุฎุฑ ู„ู„ุฏูƒุชูˆุฑุฉ ุฃุญู…ุฏ ูƒู…ุงู„
2128
+
2129
+ 533
2130
+ 00:44:02,770 --> 00:44:06,830
2131
+ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุณู†ุชุนุฑู ุนู„ูŠู‡ุง ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู†
2132
+
2133
+ 534
2134
+ 00:44:06,830 --> 00:44:12,350
2135
+ ุชุนุฑูŠู ุงู„ู…ุฌุชู…ุน ููŠ ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชู†ู…ูŠ ุจู…ุฑุญู„ุฉ ุงู„ู„ูŠ
2136
+
2137
+ 535
2138
+ 00:44:12,350 --> 00:44:20,680
2139
+ ู‡ูŠ ุงู„ุชู†ู…ูŠูˆุงุถุญุŸ ู…ุง ู‡ูˆ ุงู„ู…ุชุทูˆุนูŠู† ุงู„ู…ูุฑูˆุถ ุฃู† ู†ุจุฑุฒ
2140
+
2141
+ 536
2142
+ 00:44:20,680 --> 00:44:24,160
2143
+ ู…ู†ู‡ู… ุงู„ู…ุชุทูˆุนูŠู†ุŒ ู…ุง ู‡ูˆ ู…ุด ู…ู† ุงู„ูุฏู…ุงู† ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ
2144
+
2145
+ 537
2146
+ 00:44:24,160 --> 00:44:28,860
2147
+ ู„ุงุจุฏ ุฃู† ู†ู‚ูˆู„ ุฃู†ู†ุง ู†ุนู…ู„ ููŠ ุฅุทุงุฑ ู…ู‡ู†ุฉ ุงู„ูุฏู…ุงู†
2148
+
2149
+ 538
2150
+ 00:44:28,860 --> 00:44:31,980
2151
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูƒุฎุตูŠุตูŠู† ุงุฌุชู…ุงุนูŠูŠู† ููŠ ุฅุทุงุฑ ุนู…ู„ ุงู„ูุฑูŠู‚
2152
+
2153
+ 539
2154
+ 00:44:31,980 --> 00:44:36,560
2155
+ ุงู„ู…ู‡ู†ูŠุŒ ู„ุฃู† ุงู„ู…ุชุทูˆุน ุฃุญูŠุงู†ุง ู‚ุฏ ู„ุง ูŠูƒูˆู† ู…ู† ุงู„ู…ุชุฎุตุตูŠู†
2156
+
2157
+ 540
2158
+ 00:44:36,560 --> 00:44:41,650
2159
+ ููŠ ุงู„ู…ู‡ู† ุงู„ุฃุฎุฑู‰ ุญุชู‰ุŒ ู…ุชุทูˆุน ูˆุฎู„ุงุต ูŠุนู†ูŠุงู„ู…ุชุทูˆุน ู…ู†
2160
+
2161
+ 541
2162
+ 00:44:41,650 --> 00:44:46,190
2163
+ ุฃุฌู„ ุฃู† ูŠุนู…ู„ ู„ูƒู† ู„ูˆ ุฃุจุฑุฒู†ุง ูˆ ุฃุจุฑุฒ ุงู„ุชุนุฑูŠู ู‚ุงู„ ู„ุฃ ู…ุน
2164
+
2165
+ 542
2166
+ 00:44:46,190 --> 00:44:49,650
2167
+ ุงู„ุชุนุงูˆู† ู…ุน ุงู„ู…ู‡ู† ุงู„ุฃุฎุฑู‰ ูˆ ุงู„ุนุงู…ู„ูŠู† ููŠ ุงู„ู…ู‡ู† ุงู„ุฃุฎุฑู‰
2168
+
2169
+ 543
2170
+ 00:44:49,650 --> 00:44:53,390
2171
+ ุจูŠุชุจู‚ู‰ ุฃุญุณู† ููŠ ุฅุทุงุฑ ุนู…ู„ ูƒูุฑูŠู‚ ุจูŠูƒูˆู† ุฃูุถู„ ููŠ
2172
+
2173
+ 544
2174
+ 00:44:53,390 --> 00:45:01,510
2175
+ ุงู„ุชุนุฑูŠูุŒ ูˆุงุถุญุŸ ููŠ ุงู„ุฏูƒุชูˆุฑุฉ ู‡ูˆุฏุง ุจุฏุฑุงู† ุฃูŠุถุง ูˆุถุนุช
2176
+
2177
+ 545
2178
+ 00:45:01,510 --> 00:45:04,910
2179
+ ู„ู†ุง ุชุนุฑูŠู ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ุจูŠุดู…ู„ ุงู„ุฌุงู†ุจ
2180
+
2181
+ 546
2182
+ 00:45:04,910 --> 00:45:10,810
2183
+ ุงู„ุชุฎุทูŠุทูŠูˆู„ูƒู† ุจุดู…ู„ ุฃูŠุถุง ุงู„ู„ู‰ ู‡ูˆ ุฌุงู†ุจ ุงู„ุฏูุงุน ูƒุฐู„ูƒ ููŠ
2184
+
2185
+ 547
2186
+ 00:45:10,810 --> 00:45:17,250
2187
+ ู…ุฑุญู„ุฉ ุงู„ุฏูุงุน ูˆูƒุฐู„ูƒ ุฌุงู†ุจ ุงู„ู„ู‰ ู‡ูˆ ุงู„ุชู†ู…ูˆู‰ ูˆูƒุฐู„ูƒ ุจุดู…ู„
2188
+
2189
+ 548
2190
+ 00:45:17,250 --> 00:45:21,090
2191
+ ุงู„ุชู†ุณูŠู‚ ูุจุดู…ู„ ุงู„ุฃุฑุจุน ู…ุฑุงุญู„ ุณู†ุชุนุฑุถ ุงู„ูŠู‡ ุงู† ุดุงุก ุงู„ู„ู‡
2192
+
2193
+ 549
2194
+ 00:45:21,090 --> 00:45:23,870
2195
+ ุนู†ุฏู…ุง ู†ุชุญุฏุซ ุนู† ุงู„ุชุงุฑูŠุฎ
2196
+
2197
+ 550
2198
+ 00:45:28,290 --> 00:45:34,090
2199
+ ุฅุฐุง ููŠ ุฃูŠ ุณุคุงู„ ููŠ ุชุนุฑูŠูู‡ุง ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
2200
+
2201
+ 551
2202
+ 00:45:34,090 --> 00:45:40,930
2203
+ ุญุณุจ ู…ุง ุฎุฏู†ุงู‡ุง ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ุณูŠู‚ ูˆู…ุฑุญู„ุฉ ุงู„ุชุฎุทูŠุท ู†ุญู†
2204
+
2205
+ 552
2206
+ 00:45:40,930 --> 00:45:44,170
2207
+ ู†ุฌูŠุจ ุนู„ูŠู‡ุŒ ุชูุถู„ ุฅูŠู‡ุŸ ุฅู†ู‡ ุจุณ ุงู„ู„ูŠ ู‚ูู„ุช ู„ุฅู†ุณุงู† ูŠููƒุฑ
2208
+
2209
+ 553
2210
+ 00:45:44,170 --> 00:45:49,250
2211
+ ุฅู† ุนู…ู„ูŠุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒุฑุงู…ุฉ
2212
+
2213
+ 554
2214
+ 00:45:49,250 --> 00:45:53,670
2215
+ ุนุงู„ู…ูŠุฉุŒ ุจุบุถ ุฅู† ูƒุงู† ุชุนุฑูŠู ุฃูˆ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุทุฑูŠู‚ุฉ
2216
+
2217
+ 555
2218
+ 00:45:53,670 --> 00:45:57,520
2219
+ ูƒู…ุนุถู„ุฉู‡ู… ุนุงุฑููˆุง ุจุนุถ ุจุชุนุฑูŠู ู‚ุงู†ูˆู†ูŠ ุงู„ู…ุฌุชู…ุน ุจุณ
2220
+
2221
+ 556
2222
+ 00:45:57,520 --> 00:46:00,680
2223
+ ุนุงุฑููˆุง ุนู† ู…ุงู†ูŠ ูŠู†ุดุฃ ูˆุงู†ุช ู‡ูˆ ุฌุงุญู„ ุฃูˆ ู‡ู… ู…ุด ุนุงุฑููŠู†
2224
+
2225
+ 557
2226
+ 00:46:00,680 --> 00:46:07,300
2227
+ ุฃูˆ ุนู„ู‰ ุทู„ุน ุจุชุนุฑูŠู ู‚ุงู†ูˆู†ูŠ ุงู„ู…ุฌุชู…ุนุŸ ู„ุฃ ู‡ู… ูŠุนู†ูŠ ุญุณุจ
2228
+
2229
+ 558
2230
+ 00:46:07,300 --> 00:46:12,100
2231
+ ูˆุฌู‡ุฉ ู†ุธุฑู‡ู… ูˆู„ุฐู„ูƒ ุงุญู†ุง ุนุฑูู†ุง ู…ู† ุฎุตุงุฆุต ุงู„ุชุนุฑูŠู ุฃู†ู‡
2232
+
2233
+ 559
2234
+ 00:46:12,100 --> 00:46:16,420
2235
+ ุงู„ุชุนุฑูŠู ุฃุญูŠุงู†ุง ุจุนุจุฑ ุนู† ูˆุฌู‡ุฉ ู†ุธุฑ ู‚ุงุฆู„ุฉ ูู„ุฐู„ูƒ ู‡ู… ู‚ุฏ
2236
+
2237
+ 560
2238
+ 00:46:16,420 --> 00:46:21,500
2239
+ ูŠูƒูˆู† ู„ูŠุณ ู„ุฏูŠู‡ู… ู…ุนุฑูุฉ ู†ู…ุฑุง ูˆุงุญุฏ ู†ู…ุฑุง ุงุชู†ูŠู†ู‚ุฏ ู„ุงู‚ู‰
2240
+
2241
+ 561
2242
+ 00:46:21,500 --> 00:46:25,000
2243
+ ุบูŠุฑ ู…ู‚ุชู†ุนูŠู† ููŠ ุชู„ูƒ ุงู„ู…ุฑุญู„ุฉุŒ ูƒุงู†ูˆุง ุทุงู„ุนูŠู† ุชุชุจุงู†ูˆุง
2244
+
2245
+ 562
2246
+ 00:46:25,000 --> 00:46:29,880
2247
+ ุชู†ุธูŠู… ู…ุฌุชู…ุน ุจุทุฑูŠู‚ุฉุŒ ููƒุงู†ูˆุง ูŠุตููˆู‡ ุจู…ุง ูŠุนู†ูŠ ุดูŠุก ู†ุงุจุน
2248
+
2249
+ 563
2250
+ 00:46:29,880 --> 00:46:34,580
2251
+ ู…ู† ููƒุฑู‡ู… ูˆุนู„ู…ู‡ู… ูˆู…ุนุฑูุชู‡ู…ุŒ ูŠู‚ูˆู„ูˆู† ุนู†ู‡ุง ุจุฃู†ู‡ุง ุทุฑูŠู‚ุฉุŒ
2252
+
2253
+ 564
2254
+ 00:46:34,580 --> 00:46:37,340
2255
+ ุงู„ุจุนุถ ูŠู‚ูˆู„ ุนู†ู‡ุง ุจุฃู†ู‡ุง ุนู…ู„ูŠุฉุŒ ุงู„ุจุนุถ ูŠู‚ูˆู„ ุนู†ู‡ุง
2256
+
2257
+ 565
2258
+ 00:46:37,340 --> 00:46:41,240
2259
+ ุฃู†ุดุทุฉุŒ ุงู„ุจุนุถ ูŠู‚ูˆู„ ุนู†ู‡ุง ุจุฃู†ู‡ุง ู…ุฌู‡ูˆุฏุงุชุŒ ูู‡ุฐู‡ ูˆุฌู‡ุฉ
2260
+
2261
+ 566
2262
+ 00:46:41,240 --> 00:46:45,520
2263
+ ู†ุธุฑ ู‚ุงุฆู„ุฉุŒ ุชุนุฑูŠู ูˆุฌู‡ุฉ ู†ุธุฑ ู‚ุงุฆู„ุฉุŒ ูู„ุฐู„ูƒ ุงู„ู…ุชุฎุตูˆู†
2264
+
2265
+ 567
2266
+ 00:46:45,520 --> 00:46:50,740
2267
+ ูŠุนู†ูŠ ุญุณ ู†ุงุฎุฏ ุจุชุนุฑูŠูุงุชู‡ู… ุญุณุจ ูˆุฌู‡ุฉ ู†ุธุฑู‡ู…ูู„ุฐู„ูƒ ุฑุจู…ุง
2268
+
2269
+ 568
2270
+ 00:46:50,740 --> 00:46:53,940
2271
+ ู„ู… ูŠุนู„ู…ูˆุง ุจุงู„ุงุนุชุฑุงู ุจุทุฑูŠู‚ุฉ ู…ุง ู„ุฃู† ูƒุงู†ุช ุชุนุฑูŠู
2272
+
2273
+ 569
2274
+ 00:46:53,940 --> 00:46:58,560
2275
+ ู…ุชู‚ุงุฑุจุฉ ู…ุซู„ ุชุนุฑูŠูุงุช 1950 ูˆ 1941 ุฃุฑุจุน ุณู†ูˆุงุช ูƒุงู†
2276
+
2277
+ 570
2278
+ 00:46:58,560 --> 00:47:01,580
2279
+ ุงู„ู…ูุฑูˆุถ ุฃู†ู‡ ูŠุนุฑู ุฃู†ู‡ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชู… ุงู„ุงุนุชุฑุงู
2280
+
2281
+ 571
2282
+ 00:47:01,580 --> 00:47:05,020
2283
+ ุจูŠู‡ุง ูˆ ู„ุง ูŠู‚ูˆู„ ุนู†ู‡ุง ุนู…ู„ูŠุฉ ุฃูˆ ู„ุง ูŠู‚ูˆู„ ุนู†ู‡ุง ุฃู†ุดุทุฉ ุจู„
2284
+
2285
+ 572
2286
+ 00:47:05,020 --> 00:47:09,180
2287
+ ูŠู‚ูˆู„ ุนู†ู‡ุง ุจุฃู†ู‡ุง ุทุฑูŠู‚ุฉ ูˆู„ูƒู† ุฃุญูŠุงู†ุงู‹ ุจุฏุฃุชูŠ ุฅู„ู‰ ููƒุฑ
2288
+
2289
+ 573
2290
+ 00:47:09,180 --> 00:47:14,840
2291
+ ุงู„ู…ุชุฎุตุต ูˆุงู„ุจุงุญุซ ูˆุงู„ุนุงู„ู…ูู‡ูˆ ุจุนุจู‘ุฑ ุนู† ูˆุฌู‡ุฉ ู†ุธุฑุŒ
2292
+
2293
+ 574
2294
+ 00:47:14,840 --> 00:47:18,980
2295
+ ูู„ุฐู„ูƒ ุงู„ุชุนุฑูŠู ู„ุง ูŠุนุจุฑ ุฅู„ุง ุนู† ูˆุฌู‡ุฉ ู†ุธุฑ ู‚ุงุฆู…ุฉุŒ ูู…ู†
2296
+
2297
+ 575
2298
+ 00:47:18,980 --> 00:47:22,860
2299
+ ู‡ุฐุง ุงู„ู…ู†ุทู„ู‚ ุจู†ุงุฎุฏ ุจูˆุฌู‡ุงุช ุงู„ู†ุธุฑ ุงู„ู…ุฎุชู„ูุฉุŒ ูˆู„ูƒู† ู†ุญู†
2300
+
2301
+ 576
2302
+ 00:47:22,860 --> 00:47:27,060
2303
+ ุจุฏูˆุฑู†ุง ุนู„ูŠู†ุง ุฃู† ู†ู†ุชู‚ุฏ ุญุณุจ ุดุฑูˆุท ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ
2304
+
2305
+ 577
2306
+ 00:47:27,060 --> 00:47:30,260
2307
+ ู„ุชุนุฑูŠู ุงู„ุนู„ู… ูˆุงู„ุทุฑูŠู‚ุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ุจุงู„ู†ุณุจุฉ ู„ู„ุฎุฏู…ุฉ ุงู„ู„ูŠ
2308
+
2309
+ 578
2310
+ 00:47:30,260 --> 00:47:34,440
2311
+ ู‡ูŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุง๏ฟฝ๏ฟฝู…ุฌุชู…ุนุฃู† ู†ู‚ุฑุฃ ุงู„ุชุนุฑูŠู ูˆู†ู†ู‚ุถู‡ ูˆู†ุนุฑู
2312
+
2313
+ 579
2314
+ 00:47:34,440 --> 00:47:38,060
2315
+ ู…ุง ู‡ูŠ ุฅูŠุฌุงุจูŠุงุชูŠ ูˆุณู„ุจูŠุงุชูŠุŒ ู‡ู„ ูุนู„ุง ุชูˆูุฑุช ููŠู‡ ุณุฑูˆุฏ
2316
+
2317
+ 580
2318
+ 00:47:38,060 --> 00:47:42,660
2319
+ ุงู„ุชุนุฑูŠู ุงู„ุฌูŠุฏ ุฃู… ู„ุงุŒ ูˆุจู†ุงุก ุนู„ูŠู‡ ู†ุณุชุทูŠุน ุฃู† ู†ุนุฑู ู…ุง
2320
+
2321
+ 581
2322
+ 00:47:42,660 --> 00:47:46,440
2323
+ ู‡ูŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ูˆู†ุณุชุทูŠุน ุฃู† ู†ุถุน ุชุนุฑูŠู
2324
+
2325
+ 582
2326
+ 00:47:46,440 --> 00:47:51,740
2327
+ ุงู„ู…ุญุฏุฏุฉูƒู„ ุทุงู„ุจ ู…ู…ูƒู† ุฃูˆ ูƒู„ ุทุงู„ุจ ู„ุฃ ูŠุนู†ูŠ ุนู„ูŠู‡ ุฃู† ูŠุถุน
2328
+
2329
+ 583
2330
+ 00:47:51,740 --> 00:47:55,320
2331
+ ุชุนุฑูŠู ู„ุทุฑูŠู‚ ุงู„ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ู„ูƒู† ุงุญู†ุง ู‡ู†ุง ุฏุฑุณู†ุง
2332
+
2333
+ 584
2334
+ 00:47:55,320 --> 00:47:58,780
2335
+ ุงู„ุชุนุฑูŠูุงุช ุญุณุจ ูƒู„ ู…ุฑุญู„ุฉุŒ ู…ุฑุญู„ุฉ ุงู„ุชู†ุตูŠุจ ูˆู…ุฑุญู„ุฉ
2336
+
2337
+ 585
2338
+ 00:47:58,780 --> 00:48:01,840
2339
+ ุงู„ุชุฎุทูŠุท ูˆููŠ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ุณู†ุชุนุฑู
2340
+
2341
+ 586
2342
+ 00:48:01,840 --> 00:48:06,060
2343
+ ุนู„ู‰ ุงู„ุชุนุฑูŠูุงุช ููŠ ู…ุฑุญู„ุฉ ุงู„ุชู†ู…ูŠุฉ ูˆู…ุฑุญู„ุฉ ุงู„ุฏูุงุนุŒ ู„ูƒู†
2344
+
2345
+ 587
2346
+ 00:48:06,060 --> 00:48:10,300
2347
+ ู‡ุฐุง ู„ุง ูŠู…ู†ุน ููŠ ุงู„ู†ู‡ุงูŠุฉ ุฃู† ู†ุถุน ุชุนุฑูŠูุง ุดุงู…ู„ุง ูƒุงู…ู„ุง
2348
+
2349
+ 588
2350
+ 00:48:10,300 --> 00:48:15,750
2351
+ ู…ุงู†ุนุง ููŠู‡ ุงุดูƒุงู ุดุฑูˆุท ุงู„ุชุนุฑูŠูุทูŠุจ ุฅู„ู‰ ู‡ู†ุง ู†ู†ู‡ูŠ ู‡ุฐู‡
2352
+
2353
+ 589
2354
+ 00:48:15,750 --> 00:48:18,810
2355
+ ุงู„ู…ุญุงุถุฑุฉ ุนู„ู‰ ุฃู…ู„ ุงู„ู„ู‚ุงุก ุจูŠูƒูˆู† ุฅู† ุดุงุก ุงู„ู„ู‡ ููŠ
2356
+
2357
+ 590
2358
+ 00:48:18,810 --> 00:48:22,170
2359
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ุงุณุชูƒู…ุงู„ ุชุนุฑูŠูุงุช ุทุฑูŠู‚ ุชู†ุธูŠู…
2360
+
2361
+ 591
2362
+ 00:48:22,170 --> 00:48:28,050
2363
+ ุงู„ู…ุฌุชู…ุน ููŠ ู…ุฑุญู„ุชูŠ ุงู„ุชู†ู…ูŠุฉ ูˆุงู„ุฏูุงุน ุฅู„ู‰ ุฃู† ู†ู„ุชู‚ูŠ ููŠ
2364
+
2365
+ 592
2366
+ 00:48:28,050 --> 00:48:32,410
2367
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ู„ูƒู„ ู…ู†ูŠ ูƒู„ ุชุญูŠุฉ ูˆุชู‚ุฏูŠุฑ ูˆุงู„ุณู„ุงู…
2368
+
2369
+ 593
2370
+ 00:48:32,410 --> 00:48:34,930
2371
+ ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
2372
+
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@@ -0,0 +1,1676 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,650 --> 00:00:24,750
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุญู…ุฏ ู„ู„ู‡ ุฑุจ ุงู„ุนุงู„ู…ูŠู†
4
+
5
+ 2
6
+ 00:00:24,750 --> 00:00:28,510
7
+ ูˆุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุนู„ู‰ ุฃุดุฑู ุงู„ู…ุฑุณู„ูŠู† ุณูŠุฏู†ุง ู…ุญู…ุฏ ูˆุนู„ู‰
8
+
9
+ 3
10
+ 00:00:28,510 --> 00:00:33,790
11
+ ุขู„ู‡ ูˆุตุญุจูŠ ุฃุฌู…ุนูŠู† ุจู†ุงุช ุงู„ู‚ุงู„ุจุงุช ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
12
+
13
+ 4
14
+ 00:00:33,790 --> 00:00:40,610
15
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ุณู†ุชุญุฏุซ ุฃูŠุถุง ุงุณุชูƒู…ุงู„ุง ู„ู„ู…ุญุงุถุฑุชูŠู†
16
+
17
+ 5
18
+ 00:00:40,610 --> 00:00:45,970
19
+ ุงู„ุณุงุจู‚ุชูŠู† ุนู† ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุณู†ุฃุฎุฏ
20
+
21
+ 6
22
+ 00:00:45,970 --> 00:00:50,190
23
+ ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ูˆุฌู‡ุฉ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ
24
+
25
+ 7
26
+ 00:00:50,190 --> 00:00:56,150
27
+ ุนุจุฏุงู„ู„ุทูŠูุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏุงู„ู„ุทูŠู ุฃุณุชุงุฐ ููŠ ุงู„ุฎุฏู…ุฉ
28
+
29
+ 8
30
+ 00:00:56,150 --> 00:00:59,730
31
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ ุฌุงู…ุนุฉ ุญู„ูˆุงู†
32
+
33
+ 9
34
+ 00:00:59,730 --> 00:01:04,750
35
+ ูˆู„ุฐู„ูƒ ู„ู‡ ุฑุฃูŠ ููŠ ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุณู†ุฃุฎุฐ
36
+
37
+ 10
38
+ 00:01:04,750 --> 00:01:12,470
39
+ ุฑุฃูŠู‡ ููŠ ู…ุญุงุถุฑุชู†ุง ู‡ุฐู‡ ุทุจุนุง ู‡ู†ุง ูˆุถุน ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ
40
+
41
+ 11
42
+ 00:01:12,470 --> 00:01:18,250
43
+ ุฃู‡ุฏุงู ุนุงู…ุฉ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆุฃูŠุถุง ูˆุถุน ุฃู‡ุฏุงู
44
+
45
+ 12
46
+ 00:01:18,250 --> 00:01:22,870
47
+ ูุฑุนูŠุฉ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนู…ู† ุฃุฌู„ ุชุญู‚ูŠู‚ ุงู„ู‡ุฏู ุงู„ุนุงู…
48
+
49
+ 13
50
+ 00:01:22,870 --> 00:01:27,090
51
+ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุณู†ุชุนุฑู ุนู† ุงู„ู‡ุฏู ุงู„ุนุงู… ุฃูˆ
52
+
53
+ 14
54
+ 00:01:27,090 --> 00:01:33,910
55
+ ุงู„ุฃู‡ุฏุงู ุงู„ุนุงู…ุฉ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทุจุนุง ุฃู‡ุฏุงู
56
+
57
+ 15
58
+ 00:01:33,910 --> 00:01:36,890
59
+ ุงู„ุนุงู…ุฉ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ
60
+
61
+ 16
62
+ 00:01:36,890 --> 00:01:40,930
63
+ ุฑุดุงุฏ ุนุจุฏุงู„ู„ุทูŠู ุงู„ู„ูŠ ู‡ูŠ ุฅุญุฏุงุซ ุชุบูŠูŠุฑุงุช ุงู‚ุชุตุงุฏูŠุฉ
64
+
65
+ 17
66
+ 00:01:40,930 --> 00:01:46,890
67
+ ูˆุงุฌุชู…ุงุนูŠุฉ ููŠ ุงู„ู…ุฌุชู…ุน ูˆ ุฃูุฑุงุฏู‡ ูˆู…ุคุณุณุงุชู‡ ุชุบูŠูŠุฑุงุช
68
+
69
+ 18
70
+ 00:01:46,890 --> 00:01:53,690
71
+ ูˆุงุถุญุŸ ู‡ุฐุง ุงู„ู‡ุฏู ุงู„ุฃูˆู„ุฃูŠุถู‹ุง ุงู„ู‡ุฏู ุงู„ุชุงู†ูŠ ุฌุงู„ูŠ ุงู„ุนู…ู„
72
+
73
+ 19
74
+ 00:01:53,690 --> 00:01:57,890
75
+ ุนู„ู‰ ุชู†ู…ูŠุฉ ุฑูˆุญ ุงู„ูˆู„ุงุก ูˆุงู„ุงู†ุชู…ุงุก ู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ุนุงู…ุฉ
76
+
77
+ 20
78
+ 00:01:57,890 --> 00:02:03,570
79
+ ุชู†ู…ูŠุฉ ุฑูˆุญ ุงู„ูˆู„ุงุก ูˆุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ูˆุฒูŠุงุฏุฉ ู…ุนุฏู„ุงุช
80
+
81
+ 21
82
+ 00:02:03,570 --> 00:02:08,170
83
+ ุงู„ู…ุดุงุฑูƒุฉ ููŠู‡ุง ู…ุนุฏู„ุงุช
84
+
85
+ 22
86
+ 00:02:08,170 --> 00:02:12,430
87
+ ุงู„ู…ุดุงุฑูƒุฉ ููŠู‡ุง ูˆูŠู‚ูˆู… ุจุฐู„ูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฌุชู…ุน ูˆู…ุคุณุณุงุช
88
+
89
+ 23
90
+ 00:02:12,430 --> 00:02:16,850
91
+ ู…ู† ุงู„ุจุฑุงู…ุฌ ูˆู…ุง ูŠู‚ุฏู…ู‡ู… ุงู„ุฎุฏู…ุงุช ูˆู…ุง ูŠุถุนููˆุง ู…ู† ุฎุทุท
92
+
93
+ 24
94
+ 00:02:16,850 --> 00:02:20,570
95
+ ูˆููŠ ุนู…ู„ูŠุงุช ุงู„ุชู†ููŠุฐ ูˆุงู„ู…ุชุงุจุนุฉ ูˆุงู„ุชู‚ุฑูŠุจ ุฅุฐุง ุงู„ู‡ุฏููŠู†
96
+
97
+ 25
98
+ 00:02:21,280 --> 00:02:24,240
99
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู‡ุฏู ุงู„ุฃูˆู„ ุฅุญุฏุงุซ ุชุบูŠูŠุฑุงุช ุงู‚ุชุตุงุฏูŠุฉ
100
+
101
+ 26
102
+ 00:02:24,240 --> 00:02:29,560
103
+ ูˆุงุฌุชู…ุงุนูŠุฉ ููŠ ุงู„ู…ุฌุชู…ุน ุงู„ู‡ุฏู ุงู„ุซุงู†ูŠ ุฅุญุฏุงุซ ุงู„ู„ูŠ ู‡ูŠ ุฃูˆ
104
+
105
+ 27
106
+ 00:02:29,560 --> 00:02:34,760
107
+ ุชู†ู…ูŠุฉ ุฑูˆุญ ุงู„ูˆู„ุงุก ูˆุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ู…ู†
108
+
109
+ 28
110
+ 00:02:34,760 --> 00:02:38,320
111
+ ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏุงู„ู„ุทูŠู ุจุงู„ู†ุณุจุฉ ู„ู„ุฃู‡ุฏุงู
112
+
113
+ 29
114
+ 00:02:38,320 --> 00:02:42,640
115
+ ุงู„ุนุงู…ุฉ ู„ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุทูŠุจ ู…ุง ู‡ูŠ ุงู„ุฃู‡ุฏุงู
116
+
117
+ 30
118
+ 00:02:42,640 --> 00:02:47,140
119
+ ุงู„ูุฑุนูŠุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชุญู‚ูŠู‚ ู„ู†ุง ุงู„ู‡ุฏููŠู† ุงู„ู„ูŠ ุฐูƒุฑู‡ู…
120
+
121
+ 31
122
+ 00:02:49,390 --> 00:02:52,970
123
+ ุฃู‡ุฏุงู ุชู†ุณูŠู‚ูŠุฉ ูˆุฃู‡ุฏุงู ุชุฎุทูŠุทูŠุฉ ูˆุฃู‡ุฏุงู ุชู†ู…ูˆูŠุฉ
124
+
125
+ 32
126
+ 00:02:52,970 --> 00:02:57,010
127
+ ูˆุงู„ุฃู‡ุฏุงู ุงู„ู…ุชุตู„ุฉ ุจุงู„ู…ุชุงู†ุถ ูˆุณู†ุนุฑุถ ุงู† ุดุงุก ุงู„ู„ู‡
128
+
129
+ 33
130
+ 00:02:57,010 --> 00:03:02,790
131
+ ุณู†ุชุนุฑุถ ูˆู†ู†ุงู‚ุด ุฅู„ู‰ ุงู„ุฃู‡ุฏุงู ู‡ุฐู‡ ูƒู„ู‡ุง ุงู„ุชู†ุณูŠู‚ูŠุฉ
132
+
133
+ 34
134
+ 00:03:02,790 --> 00:03:08,850
135
+ ูˆุงู„ุชุฎุทูŠุทูŠุฉ ูˆุงู„ุชู†ู…ูˆูŠุฉ ูˆุงู„ุฃู‡ุฏุงู ุงู„ู…ุชุนุงุฑุถุฉ ูู„ูˆ ุฃุฌูŠู†ุง
136
+
137
+ 35
138
+ 00:03:08,850 --> 00:03:13,530
139
+ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ุชุดุชู…ู„ ุนู„ู‰ ู…ุงุฐุงุŸ ุฏุฑุงุณุฉ ุญุงุฌุงุช
140
+
141
+ 36
142
+ 00:03:13,530 --> 00:03:17,010
143
+ ุงู„ู…ุฌุชู…ุน ูˆุงู„ู…ุดูƒู„ุงุช ุฃูˆู„ ุดูŠุก ุฏุฑุงุณุฉ ุญุงุฌุงุช ุงู„ู…ุฌุชู…ุน
144
+
145
+ 37
146
+ 00:03:17,010 --> 00:03:23,930
147
+ ุซุงู†ูŠุงุฑุชูŠุจ ู‡ุฐู‡ ุงู„ุฅุญุชูŠุงุฌุงุช ูˆุงู„ู…ุดูƒู„ุงุช ุญุณุจ ุฃู‡ู…ูŠุชู‡ุง
148
+
149
+ 38
150
+ 00:03:23,930 --> 00:03:34,910
151
+ ุงู„ุชุนุฑู
152
+
153
+ 39
154
+ 00:03:34,910 --> 00:03:38,110
155
+ ุนู„ู‰ ุงู„ุฅุญุตุงุฆูŠุงุช ูˆุงู„ุจูŠุงู†ุงุช ุงู„ุฎุงุตุฉ ุจุงู„ู…ุฌุชู…ุน ูˆุฃู† ุชูƒูˆู†
156
+
157
+ 40
158
+ 00:03:38,110 --> 00:03:44,770
159
+ ุญุฏูŠุซุฉ ูˆู…ุณุชู†ู‚ุนุฉ ูˆู…ุณุชู‚ุงุก ู…ู† ู…ุตุงุฏุฑู‡ุง
160
+
161
+ 41
162
+ 00:03:45,750 --> 00:03:49,170
163
+ ุงู„ุฅุญุตุงุฆุงุช ู„ุฃู†ู‡ุง ุจุชููŠุฏู†ุง ุงู„ุฅุญุตุงุฆุงุช ุจุชูƒูˆู† ุญุฏูŠุซุฉ
164
+
165
+ 42
166
+ 00:03:49,170 --> 00:03:52,450
167
+ ุฅุญุตุงุฆุงุช ุญุฏูŠุซุฉ ุนู† ุงู„ู…ุฌุชู…ุน ุจูŠุงู†ุงุช ุนู† ุงู„ู…ุฌ๏ฟฝ๏ฟฝู…ุน ู…ู† ุฎู„ุงู„
168
+
169
+ 43
170
+ 00:03:52,450 --> 00:03:55,490
171
+ ุงู„ุฅุญุตุงุฆุงุช ู„ุฅู† ุงุญู†ุง ู†ุณุชุฎุฏู… ุงู„ุฅุญุตุงุฆุงุช ููŠ ู…ุนุฑูุฉ
172
+
173
+ 44
174
+ 00:03:55,490 --> 00:04:00,250
175
+ ุงู„ู…ุดูƒู„ุงุช ูˆ ุงู„ุญุงุฌุงุช ู†ูˆุงุญูŠ ุฑู‚ู…ูŠุฉ ู…ููŠุฏุฉ ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง
176
+
177
+ 45
178
+ 00:04:00,250 --> 00:04:02,790
179
+ ู„ุงุจุฏ ุฃู† ู†ุชุนุฑู ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฅุญุตุงุฆูŠุงุช ูˆ ุงู„ุจูŠุงู†ุงุช
180
+
181
+ 46
182
+ 00:04:02,790 --> 00:04:06,010
183
+ ุฅุญุตุงุฆูŠุฉ ุฎุงุตุฉ ุจุงู„ุชุนู„ูŠู… ุฅุญุตุงุฆูŠุฉ ุฎุงุตุฉ ุจุงู„ุตุญุฉ ุฅุญุตุงุฆูŠุฉ
184
+
185
+ 47
186
+ 00:04:06,010 --> 00:04:10,720
187
+ ุฎุงุตุฉ ุจุงู„ุงู‚ุชุตุงุฏ ูˆ ู‡ูƒุฐุงูู„ุฐู„ูƒ ู‡ุฐู‡ ุงู„ุญุตุงุฆูŠุงุชุŒ ุฃูŠ
188
+
189
+ 48
190
+ 00:04:10,720 --> 00:04:15,460
191
+ ุญุตุงุฆูŠุงุช ู…ูˆุฌูˆุฏุฉ ู†ุณุชุฎุฏู…ู‡ุง ู„ุนู…ู„ู†ุง ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู…
192
+
193
+ 49
194
+ 00:04:15,460 --> 00:04:22,080
195
+ ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„ ู…ุณุงุนุฏุฉ ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุญู„ ุงู„ู…ุดูƒู„ุงุช. ููŠ
196
+
197
+ 50
198
+ 00:04:22,080 --> 00:04:26,240
199
+ ุฃูŠุถู‹ุง ุฃู‡ุฏุงู ุชู†ุณูŠู‚ูŠุฉ ุฃุฎุฑู‰ุŒ ู…ุง ู‡ูŠ ุฃูŠุถู‹ุงุŸ ุฃูŠูˆุฉ ู…ู†ูƒ.
200
+
201
+ 51
202
+ 00:04:26,320 --> 00:04:29,080
203
+ ุงู„ุชุนุฑู ุนู„ู‰ ุงู„ู…ุนู„ู…ูŠู†ุŒ ู‡ุฏู ูˆุงุฌู‡ุฉ ุดุนุจูŠุฉ ุฃูˆ ุฑุณู…ูŠุฉุŒ
204
+
205
+ 52
206
+ 00:04:29,080 --> 00:04:32,560
207
+ ูˆู…ุฏู‰ ู…ุง ูŠู†ู‚ุต ุงู„ูŠุฏูŠู‡ุง ู…ู† ุงู„ู…ู‡ุงุฑุฉุŒ ู…ุง ูŠู…ูƒู† ุฃู† ุชุณุฌู„
208
+
209
+ 53
210
+ 00:04:32,560 --> 00:04:36,320
211
+ ู…ู† ุฎุฏู…ุชู‡. ุจุงู„ุถุจุทุŒ ูˆู‡ุฐุง ู‡ูˆ ูŠุนู†ูŠ ุจุงู„ู†ุณุจุฉ ู„ู„ู‡ุฏู
212
+
213
+ 54
214
+ 00:04:36,320 --> 00:04:41,020
215
+ ุงู„ูุฑุนูŠ ุงู„ุซุงู„ุซุŒุฃูˆ ุงู„ุฑุงุจุน ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
216
+
217
+ 55
218
+ 00:04:41,020 --> 00:04:44,660
219
+ ุงู„ุชุนุฑู ุนู„ู‰ ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ู„ุฃู†ู†ุง ู„ุง ู†ุชุนุงู…ู„ ู…ุน ุฃูุฑุงุฏ
220
+
221
+ 56
222
+ 00:04:44,660 --> 00:04:49,380
223
+ ุงู„ู…ุฌุชู…ุน ูƒูƒู„ ู†ุชุนุงู…ู„ ู…ุน ู…ู…ุซู„ูŠู† ุงู„ู…ุฌุชู…ุน ุฃูˆ ู‚ูŠุงุฏุงุช
224
+
225
+ 57
226
+ 00:04:49,380 --> 00:04:54,680
227
+ ุงู„ุดุนุจูŠุฉ ูˆุงู„ู‚ูŠุงุฏุงุช ุงู„ุฑุณู…ูŠุฉ ู„ูƒู„ ู…ู† ู‡ุฐู‡ ุงู„ู‚ูŠุงุฏุงุช ู„ู‡ุง
228
+
229
+ 58
230
+ 00:04:54,680 --> 00:05:00,960
231
+ ุฏูˆุฑ ููŠ ุงู„ู…ุฌุชู…ุน ุฏูˆุฑ ูุนุงู„ ูˆู…ุคุซุฑ ููŠ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ
232
+
233
+ 59
234
+ 00:05:00,960 --> 00:05:04,620
235
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุฃูˆ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ุฃู‡ุฏุงูู‡ุง
236
+
237
+ 60
238
+ 00:05:04,620 --> 00:05:11,320
239
+ ู‡ูˆ ุงู„ุชุนุฑู ุนู„ู‰ ู‡ุคู„ุงุก ุงู„ู‚ุงุฏุฉูˆู…ุนุฑูุชู‡ู… ูˆุชูˆุซูŠู‚ ุงู„ุนู„ุงู‚ุงุช
240
+
241
+ 61
242
+ 00:05:11,320 --> 00:05:17,080
243
+ ู…ุนู‡ู… ู„ู…ุงุฐุงุŸ ู„ู„ุชุนุฑู
244
+
245
+ 62
246
+ 00:05:17,080 --> 00:05:21,000
247
+ ุนู„ูŠู‡ู… ุญุชู‰ ู…ู…ูƒู† ู„ุณุงุนุฏู‡ู… ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุฃุฏุงุก ุฃุนู…ุงู„ู‡ู… ููŠ
248
+
249
+ 63
250
+ 00:05:21,000 --> 00:05:25,620
251
+ ุงู„ู…ุฌุชู…ุน ุงู„ู‚ุงุฏุฉ ูˆู†ุชุนุฑู ู‡ู„ ุนู†ุฏู‡ู… ุฎุจุฑุงุชุŸ ู‡ู„ ุนู†ุฏู‡ู…
252
+
253
+ 64
254
+ 00:05:25,620 --> 00:05:28,580
255
+ ู…ู‡ุงุฑุงุชุŸ ู…ุงุฐุง ูŠู†ู‚ุตู‡ู… ู…ู† ู…ู‡ุงุฑุงุชุŸ ู…ุงุฐุง ูŠู†ู‚ุตู‡ู… ู…ู†
256
+
257
+ 65
258
+ 00:05:28,580 --> 00:05:33,280
259
+ ุฎุจุฑุงุชุŸ ูˆู†ุนู…ู„ ู„ู‡ู… ุฏูˆุฑุงุช ุชุฏุฑูŠุจูŠุฉ ู„ู„ู‚ูŠุงู… ุจุนู…ู„ู‡ู…
260
+
261
+ 66
262
+ 00:05:33,280 --> 00:05:38,350
263
+ ุงู„ู‚ูŠุงุฏ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนู„ุฃู† ู‡ู… ุงู„ุฃุณุงุณุŒ ุนู†ุตุฑ ุฃุณุงุณูŠุŒ
264
+
265
+ 67
266
+ 00:05:38,350 --> 00:05:41,410
267
+ ูู„ุฐู„ูƒ ู…ู† ุงู„ู‡ุฏุงู ุงู„ูุฑุนูŠุฉ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ููŠ
268
+
269
+ 68
270
+ 00:05:41,410 --> 00:05:45,630
271
+ ุงู„ู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ุชุนุฑู ุนู„ู‰ ู‚ูŠุงุฏุงุช ุงู„ู…ุฌุชู…ุน ูˆู…ุณุงุนุฏุชู‡ู…
272
+
273
+ 69
274
+ 00:05:45,630 --> 00:05:49,870
275
+ ููŠ ุงู„ู„ูŠ ู‡ูˆ ุงูƒุชุณุงุจ ุงู„ู…ู‡ุงุฑุงุช ุงู„ู„ุงุฒู…ุฉ ู…ู† ุฃุฌู„ ุงู„ู‚ูŠุงู…
276
+
277
+ 70
278
+ 00:05:49,870 --> 00:05:56,350
279
+ ุจุฃุนู…ุงู„ู‡ู… ู‡ุฐุง ุจุงู„ู†ุณุจุฉ ููŠ ุงู„ู‡ุฏู ุงู„ุฑุงุจุน ุงู„ู‡ุฏู ุงู„ุฎุงู…ุณ
280
+
281
+ 71
282
+ 00:05:57,730 --> 00:06:01,390
283
+ ุชูƒูˆู† ุจู†ุงุก ุฑุณู…ูŠ ูŠุถู… ุงู„ู…ุคุณุณุงุช ุงู„ุฑุบุจุฉ ููŠ ุงู„ุชุนุงูˆู† ููŠู…ุง
284
+
285
+ 72
286
+ 00:06:01,390 --> 00:06:04,630
287
+ ุจูŠู†ู‡ุง ุจุญูŠุซ ูŠุชุฑูƒ ู„ูƒู„ ู…ุคุณุณุฉ ุญุฑูŠุฉ ุชู‚ุจู„ ู‚ุฑุงุฑุงุช ู‡ุฐุง
288
+
289
+ 73
290
+ 00:06:04,630 --> 00:06:08,570
291
+ ุงู„ู…ุฌู„ุณ ูˆู…ู† ุซู… ุชุญุชูุธ ูƒู„ ู…ุคุณุณุฉ ุจุงุณุชู‚ู„ุงู„ูŠุชู‡ุง ูŠุนู†ูŠ
292
+
293
+ 74
294
+ 00:06:08,570 --> 00:06:13,550
295
+ ุชูƒูˆูŠู† ู…ุฌู„ุณุŒ ู…ุฌู„ุณ ุฑุณู…ูŠ ูŠุถู… ุงู„ู…ุคุณุณุงุช ุงู„ุฑุบุจุฉ ููŠ
296
+
297
+ 75
298
+ 00:06:13,550 --> 00:06:15,910
299
+ ุงู„ุชุนุงูˆู† ููŠู…ุง ุจูŠู†ู‡ุงุŒ ู…ูŠู† ุงู„ู…ุคุณุณุงุช ุงู„ู„ูŠ ุจุชุฑุบุจ ููŠ
300
+
301
+ 76
302
+ 00:06:15,910 --> 00:06:20,340
303
+ ุงู„ุชุนุงูˆู†ุŸูˆุจู†ุฏุนูˆ ุฅู„ู‰ ู‡ุฐู‡ ุงู„ู…ุคุณุณุงุช ูˆุจู†ุนู…ู„ ู„ู‡ุง ู…ุฌู„ุณ
304
+
305
+ 77
306
+ 00:06:20,340 --> 00:06:25,620
307
+ ุจู†ุงุก ุชูƒูˆูŠู†ูŠ ูŠุนู†ูŠ ุนู„ู‰ ุดูƒู„ ู‡ูŠุฆุฉ ุฃูˆ ู…ุคุณุณุฉ ุฃูˆ ุจู†ุงุก
308
+
309
+ 78
310
+ 00:06:25,620 --> 00:06:30,320
311
+ ู…ุฌู„ุณ ู„ุชู†ุณูŠู‚ ุจูŠู† ุงู„ู…ุคุณุณุงุช ู„ู…ุงุฐุงุŸ ุญุชู‰ ู†ุญู‚ู‚ ู‡ุฏุงู
312
+
313
+ 79
314
+ 00:06:30,320 --> 00:06:34,160
315
+ ุงู„ุชู†ุณูŠู‚ ู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ ุงู„ุฃู‡ู… ุชู†ู…ูŠุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ
316
+
317
+ 80
318
+ 00:06:34,160 --> 00:06:38,400
319
+ ูˆุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ูˆู„ุงุก ูˆุงู„ุงุชู…ุงุน ูˆู†ุนู…ู„ ู…ุดุงุฑูƒุฉ ุฌู…ูŠุน
320
+
321
+ 81
322
+ 00:06:38,400 --> 00:06:42,620
323
+ ุงู„ู…ุคุณุณุงุช ููŠ ุงู„ุชุนุงูˆู† ููŠู…ุง ุจูŠู†ู‡ุง ุฅุฐุง ู…ุดุงุฑูƒุฉ ุงู„ู…ุคุณุณุงุช
324
+
325
+ 82
326
+ 00:06:42,620 --> 00:06:45,760
327
+ ู…ุน ุจุนุถูŠุง ุงู„ุจุนุถ ูˆุงู„ุชุนุงูˆู† ู…ุน ุจุนุถูŠุง ุงู„ุจุนุถ ู„ุง ูŠูƒูˆู† ุฅู„ุง
328
+
329
+ 83
330
+ 00:06:45,760 --> 00:06:50,240
331
+ ู…ู† ุฎู„ุงู„ ู…ุฌู„ุณู„ู„ุชู†ุณูŠู‚ ุจูŠู† ู‡ุฐู‡ ุงู„ู…ุคุณุณุงุชุŒ ุงู„ุชุนุฑู ุนู„ู‰
332
+
333
+ 84
334
+ 00:06:50,240 --> 00:06:57,340
335
+ ู…ุง ู„ุฏูŠู‡ุง ู…ู† ุงู„ู…ู…ูƒุงู†ูŠุงุช ูˆู…ูˆุงุฑุฏ ูˆุนู„ู‰ ุฃู‡ุฏุงูู‡ุง ูˆู…ุง ู‡ูŠ
336
+
337
+ 85
338
+ 00:06:57,340 --> 00:07:01,100
339
+ ุงู„ุฃู‡ุฏุงู ุงู„ู„ูŠ ู…ู…ูƒู† ุฃู† ุชู‚ูˆู… ุจูŠู‡ุง ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ ู‡ุฐู‡
340
+
341
+ 86
342
+ 00:07:01,100 --> 00:07:04,900
343
+ ูƒู„ู‡ุง ูŠุนู†ูŠ ุจุงู„ู†ุณุจุฉ ู…ู† ุฎู„ุงู„ ู‡ุฐุง ุงู„ู…ุฌู„ุณ ุฃูˆ ุงู„ุจู†ุงุก
344
+
345
+ 87
346
+ 00:07:04,900 --> 00:07:09,000
347
+ ุงู„ุชูƒูˆูŠู†ูŠ ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุนู…ู„ู‡ ู„ูƒูŠ ูŠุคุฏูŠ ุฏูˆุฑู‡ ููŠ ุงู„ุนู…ู„ูŠุฉ
348
+
349
+ 88
350
+ 00:07:09,000 --> 00:07:15,320
351
+ ุงู„ุชู†ุณูŠู‚ูŠุฉุŒ ุชู†ุณูŠู‚ ุจูŠู† ุงู„ู…ุคุณุณุงุชุŒ ูˆุงุถุญุŸูˆ ู…ู…ูƒู† ู†ุณู…ูŠู‡
352
+
353
+ 89
354
+ 00:07:15,320 --> 00:07:18,920
355
+ ู…ุฌู„ุณ ุชู†ุณูŠู‚ูŠ ู…ู…ูƒู† ู†ุณู…ูŠู‡ ู…ุคุณุณุฉ ุชู†ุณูŠู‚ูŠุฉ ู…ู…ูƒู† ู†ุณู…ูŠู‡ุง
356
+
357
+ 90
358
+ 00:07:18,920 --> 00:07:24,100
359
+ ุฃูŠู‚ุฉ ุชู†ุณูŠู‚ูŠุฉ ูŠุนู†ูŠ ุฃูŠ ุงุณู… ุงู„ู…ู‡ู… ุงู„ุงุณู… ูŠุนู†ูŠ ูŠุญู‚ู‚
360
+
361
+ 91
362
+ 00:07:24,100 --> 00:07:30,280
363
+ ุงู„ู‡ุฏู ู…ู† ุฏูˆุฑู‡ ูˆ ูˆุธูŠูุชู‡ ุงู„ุชู†ุณูŠู‚ูŠุฉ ู…ุงุฐุง ุฃูŠุถุง ุนู†ุฏู†ุง
364
+
365
+ 92
366
+ 00:07:30,280 --> 00:07:35,420
367
+ ู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ุชุดุชู…ู„ ุนู„ู‰ ู…ุงุฐุงุŸ ุงูŠูˆุฉ ุงุจู†ุชูŠ
368
+
369
+ 93
370
+ 00:07:35,420 --> 00:07:38,620
371
+ ุงุฑุดุงุฏ ุงู„ู…ูˆุงุทู†ูŠู† ู„ูƒุงุฑุซูŠุฉ ุงู„ุงุณุชูุงุฏุฉ ู…ู† ุงู„ุฎุฏู…ุงุช ุงู„ุชูŠ
372
+
373
+ 94
374
+ 00:07:38,620 --> 00:07:43,350
375
+ ุชู‚ุฏู…ู‡ุง ุงู„ู…ุคุณุณุงุช ุงู‡ ุงุฑุดุงุฏ ุงู„ู…ูˆุงุทู†ูŠู†ูƒูŠู ูŠุณุชููŠุฏูˆุง ู…ู†
376
+
377
+ 95
378
+ 00:07:43,350 --> 00:07:47,170
379
+ ุงู„ู…ุคุณุณุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ูˆู…ู† ู†ูˆุนูŠุฉ ุงู„ุฎุฏู…ุงุช
380
+
381
+ 96
382
+ 00:07:47,170 --> 00:07:50,870
383
+ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐู‡ ุงู„ู…ุคุณุณุงุช ุญุชู‰ ูŠุณุชููŠุฏูˆุง ู…ู†ู‡ุง ูู‡ุฐุง ู…ู†
384
+
385
+ 97
386
+ 00:07:50,870 --> 00:07:56,670
387
+ ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชุฑุดุฏ
388
+
389
+ 98
390
+ 00:07:56,670 --> 00:08:00,730
391
+ ุงู„ู…ูˆุงุทู†ูŠู† ุฅู„ู‰ ูƒูŠููŠุฉ ุงู„ุงุณุชูุงุฏุฉ ู…ู† ุงู„ุฎุฏู…ุงุช ุงู„ุชูŠ
392
+
393
+ 99
394
+ 00:08:00,730 --> 00:08:03,810
395
+ ุชู‚ุฏู…ู‡ุง ุงู„ู…ุคุณุณุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน
396
+
397
+ 100
398
+ 00:08:06,960 --> 00:08:11,320
399
+ ุทุจุนุง ู‡ู†ุง ุฏูˆุฑ ุงู„ู…ู†ุธู… ู„ูƒูŠ ุชุชุญู‚ู‚ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ
400
+
401
+ 101
402
+ 00:08:11,320 --> 00:08:15,460
403
+ ุงู„ู„ูŠ ุงุญู†ุง ุฐูƒุฑู†ุงู‡ุง ุจูŠุณุนู‰
404
+
405
+ 102
406
+ 00:08:15,460 --> 00:08:19,240
407
+ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ุฅู„ู‰ ู…ุงุฐุงุŸ ู…ุง ุฏูˆุฑู‡ ู‡ู†ุงุŸ ุชุจุฏู„
408
+
409
+ 103
410
+ 00:08:19,240 --> 00:08:24,520
411
+ ุงู„ุณูŠุงุณุงุช ูˆุงู„ุฎุทุท ูˆุจุฑุงู…ุฌ ุงู„ุนู…ู„ ุฅุฐุง ุฃูˆู„ ุดูŠุก ุชุจุฏู„
412
+
413
+ 104
414
+ 00:08:24,520 --> 00:08:28,560
415
+ ุงู„ุณูŠุงุณุงุช ูˆุงู„ุฎุทุท ูˆุจุฑุงู…ุฌ ุงู„ุนู…ู„ ู‡ุฐุง ู…ู† ุฏูˆุฑ ุงู„ู…ู†ุธู…
416
+
417
+ 105
418
+ 00:08:28,560 --> 00:08:34,920
419
+ ุงู„ุงุฌุชู…ุงุนูŠ ู„ุชุญู‚ูŠู‚ ุงู„ุชู†ุณูŠู‚ ู…ุงุฐุง ุฃูŠุถุงุŸ ุฃู‡ู…ูŠุฉ ุชุจุฏู„
420
+
421
+ 106
422
+ 00:08:34,920 --> 00:08:39,070
423
+ ุงู„ุฎุจุฑุงุชุชุจุงุฏู„ ุงู„ุฎุจุฑุงุช ู„ุงุจุฏ ูŠุชุนุฑู ุนู„ู‰ ุงู„ุฎุจุฑุงุช ูˆุชุจุงุฏู„
424
+
425
+ 107
426
+ 00:08:39,070 --> 00:08:43,210
427
+ ูู‡ู†ุง ุจุชุจุฑุฒ ุงู„ุฃู‡ู…ูŠุฉ ุฃู‡ู…ูŠุฉ ุชุจุงุฏู„ ุงู„ุฎุจุฑุงุช ุจูŠู†
428
+
429
+ 108
430
+ 00:08:43,210 --> 00:08:46,430
431
+ ุงู„ู…ุคุณุณุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ู‡ุฐุง ู…ู† ุฏูˆุฑ ุงู„ู…ู†ุธู…
432
+
433
+ 109
434
+ 00:08:46,430 --> 00:08:49,030
435
+ ุงู„ุงุฌุชู…ุงุนูŠ ุฃูŠูˆุฉ ูŠุง ุจู†ุช ูƒูŠููŠุฉ ุชุจุงุฏู„ ุงู„ู…ูˆุงุฑุฏ
436
+
437
+ 110
438
+ 00:08:49,030 --> 00:08:52,530
439
+ ูˆุงู„ุงุณุชูุงุฏุฉ ู…ู†ู‡ุง ูƒุฐู„ูƒ ููŠ ูƒูŠููŠุฉ ุชุจุงุฏู„ ุงู„ู…ูˆุงุฑุฏ ุจูŠู†
440
+
441
+ 111
442
+ 00:08:52,530 --> 00:08:56,870
443
+ ุงู„ู…ุคุณุณุงุช ูˆุงู„ุงุณุชูุงุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ู…ูˆุงุฑุฏ ููŠ ู…ุนุงู„ุฌุฉ
444
+
445
+ 112
446
+ 00:08:56,870 --> 00:09:02,410
447
+ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃูŠุถุงุŸ ุฃูŠูˆุฉ ูŠุง ุจู†ุช
448
+
449
+ 113
450
+ 00:09:05,400 --> 00:09:10,900
451
+ ุชูˆุฒูŠุน ุนุงุฆุฏ ุงู„ุนู…ู„ูŠุฉ ุงู„ุชู†ุณูŠู‚ูŠุฉ ุจุนุฏุงู„ุฉ ุจูŠู† ุงู„ู…ู†ุธู…ุงุช
452
+
453
+ 114
454
+ 00:09:10,900 --> 00:09:17,660
455
+ ุงู„ู…ุชุนุงูˆู†ุฉ ุณูˆูŠุงุŒ ู…ุงุฐุง ุฃูŠุถุงุŸ ุงู† ุชุฑูƒุฒ ุงู„ุนู…ู„ูŠุฉ
456
+
457
+ 115
458
+ 00:09:17,660 --> 00:09:21,460
459
+ ุงู„ุชู†ุณูŠู‚ูŠุฉ ุนู„ู‰ ุฃู‡ุฏุงู ู…ุนูŠู†ุฉ ู…ู†ุจุซู‚ุฉ ุนู† ู…ุตุงู„ุญ ุงู„ู…ู†ุธู…ุงุช
460
+
461
+ 116
462
+ 00:09:21,460 --> 00:09:24,560
463
+ ุงู„ู…ุชุทุงุจู‚ุฉ ู…ุนู‡ุง ุจุงู„ุถุจุท ุงู„ุนู…ู„ูŠุฉ ุงู„ุชู†ุณูŠู‚ูŠุฉ ูŠุนู†ูŠ
464
+
465
+ 117
466
+ 00:09:24,560 --> 00:09:30,000
467
+ ุงู„ุชู†ุณูŠู‚ ูŠุฑูƒุฒ ุนู„ู‰ ุฃู‡ุฏุงู ู…ุนูŠู†ุฉ ู…ู†ุจุซู‚ุฉ ุนู† ู…ุตุงู„ุญ
468
+
469
+ 118
470
+ 00:09:30,000 --> 00:09:37,640
471
+ ุงู„ู…ู†ุธู…ุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุคุณุณุงุชูˆู…ุชุทุงุจู‚ุฉ ู…ุน ุฃู‡ุฏุงูู‡ุง ู‡ุฐู‡
472
+
473
+ 119
474
+ 00:09:37,640 --> 00:09:43,600
475
+ ู‡ูŠ ุฃู‡ู… ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ููŠ ุนุฏู†ุง ุฃู‡ุฏุงู ุฃุฎุฑู‰ ู„ุทุฑูŠู‚ุฉ
476
+
477
+ 120
478
+ 00:09:43,600 --> 00:09:48,600
479
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู‡ูŠ ุฃู‡ุฏุงู ุชุฎุทูŠุทูŠุฉ ู…ุง ู‡ูŠ ู‡ุฐู‡ ุงู„ุฃู‡ุฏุงู
480
+
481
+ 121
482
+ 00:09:48,600 --> 00:09:52,240
483
+ ุงู„ุชุฎุทูŠุทูŠุฉ ู…ู† ูˆุฌู‡ุฉ ู†ุธุฑ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏุงู„ู„ู‡ ุทูŠุจ ุฌู…ุน
484
+
485
+ 122
486
+ 00:09:52,240 --> 00:09:55,500
487
+ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุตุญูŠุญุฉ ุงู„ูƒุงููŠุฉ ู„ุณู„ุงู…ุฉ ุงู„ุชุฎุทูŠุท ูˆุงู„ุชู†ููŠุฐ
488
+
489
+ 123
490
+ 00:09:55,500 --> 00:10:02,400
491
+ ุฌู…ุน ุงู„ู…ุนู„ูˆู…ุงุช ู„ุณู„ุงู…ุฉ ุงู„ุชุฎุทูŠุท ูˆุงู„ุชู†ููŠุฐูˆู‡ู†ุง ุทุจุนุง ุฃูŠ
492
+
493
+ 124
494
+ 00:10:02,400 --> 00:10:09,140
495
+ ุชุฎุทูŠุท ุจูŠุนุชู…ุฏ ุนู„ู‰ ุตุญุฉ ุงู„ู…ุนู„ูˆู…ุงุช ูˆุนู„ู‰ ุงู„ุญู‚ุงุฆู‚ ุงู„ู„ูŠ
496
+
497
+ 125
498
+ 00:10:09,140 --> 00:10:13,900
499
+ ุจู†ุฌู…ุนู‡ุง ูˆุจู†ุนุฑูู‡ุง ู„ุฃู†ู‡ ู…ุงุดูŠ ู„ุง ูŠู…ูƒู† ุฃู† ู†ุถุน ุฎุทุฉ ุฅุฐุง
500
+
501
+ 126
502
+ 00:10:13,900 --> 00:10:19,340
503
+ ู„ู… ูŠูƒู† ู„ุฏูŠู†ุง ู…ุนู„ูˆู…ุงุช ุนู† ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ุญุงุฌุฉ ูู„ุฐู„ูƒ
504
+
505
+ 127
506
+ 00:10:19,340 --> 00:10:24,140
507
+ ุงู„ุชุฎุทูŠุท ูŠุณุงุนุฏู†ุง ููŠ ู…ุนุฑูุฉ ูŠุนู†ูŠ ู„ุงุจุฏ ุฃู† ู†ุนุฑู ุงู„ุญุงุฌุงุช
508
+
509
+ 128
510
+ 00:10:24,760 --> 00:10:29,360
511
+ ู†ุนุฑู ูƒู„ู†ุง ู…ุนู„ูˆู…ุงุช ุนู† ุงู„ุญุงุฌุงุช ูˆ ุนู† ุงู„ู…ุดูƒู„ุงุช ูˆุจุนุฏ
512
+
513
+ 129
514
+ 00:10:29,360 --> 00:10:34,240
515
+ ุฐู„ูƒ ู†ุณุชุทูŠุน ู†ุถุน ุฎุทุฉ ู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุตุญูŠุญุฉ
516
+
517
+ 130
518
+ 00:10:34,240 --> 00:10:41,220
519
+ ุชุณุงุนุฏู†ุง ุนู„ู‰ ูˆุถุน ุงู„ุฎุทุท ุงู„ุตุญูŠุญุฉ ู…ุงุฐุง ุฃูŠุถุง ูŠุถุญ ุฃูƒุซุฑ
520
+
521
+ 131
522
+ 00:10:41,220 --> 00:10:45,840
523
+ ุงู„ู…ุดูƒู„ุงุช ุชุฃุซูŠุฑุง ุนู„ู‰ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุคุณุณุฉ ู…ู† ุฃู‡ุฏุงู
524
+
525
+ 132
526
+ 00:10:45,840 --> 00:10:50,760
527
+ ุงู„ุชุฎุทูŠุท ุฃูŠุถุง ุงู„ู„ูŠ ู‡ูˆ ูŠุถุญ ุฃูƒุซุฑ ุงู„ู…ุดูƒู„ุงุช ุชุฃุซูŠุฑุง ุทุจุนุง
528
+
529
+ 133
530
+ 00:10:50,760 --> 00:10:55,460
531
+ ุงู„ู…ุฌุชู…ุน ูŠุนุงู†ูŠ ู…ู† ุงู„ู…ุดูƒู„ุงุชูƒุซูŠุฑุฉ ู„ูƒู† ู…ุง ุฃู‡ู…ู‡ุง ุฅุฐุง
532
+
533
+ 134
534
+ 00:10:55,460 --> 00:11:00,360
535
+ ู†ุชุจุน ู‡ู†ุง ุงู„ุฃูˆู„ูˆูŠุฉ ุจูˆุถุน ุงู„ุฃูˆู„ูˆูŠุฉ ู„ู„ู…ุดูƒู„ุงุช ุฃูŠ
536
+
537
+ 135
538
+ 00:11:00,360 --> 00:11:04,700
539
+ ุงู„ู…ุดูƒู„ุงุช ุฃูƒุซุฑ ุชุฃุซูŠุฑุง ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ูˆู„ู‡ุง ุฃู‡ู…ูŠุฉ ูˆู„ู‡ุง
540
+
541
+ 136
542
+ 00:11:04,700 --> 00:11:10,460
543
+ ุฃูˆู„ูˆูŠุฉ ุนู„ู‰ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุชู…ุซู„ ููŠ ุฃูุฑุงุฏู‡ ูˆู…ุคุณุณุงุชู‡
544
+
545
+ 137
546
+ 00:11:10,460 --> 00:11:15,420
547
+ ูˆุจู†ุจุฏุฃ ููŠ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุฃูˆู„ูˆูŠุฉ ูˆุจู†ุถุน ู„ู‡ุง ุฎุทุท
548
+
549
+ 138
550
+ 00:11:15,420 --> 00:11:20,800
551
+ ู„ูƒูŠ ู†ุนุงู„ุฌู‡ุง ู…ุงุฐุง ุฃูŠุถุงุŸุชุญุณูŠู† ู…ุณุชูˆู‰ ุงู„ุฎุฏู…ุงุช
552
+
553
+ 139
554
+ 00:11:20,800 --> 00:11:25,280
555
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ุงุชูุงู‚ ุจูƒูุงุกุฉ ู…ุคุณุณุงุชูƒุŸ ุทุจุนุง ุงู„ุฎุฏู…ุงุช
556
+
557
+ 140
558
+ 00:11:25,280 --> 00:11:28,900
559
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู‡ุฐุง ู…ุง ูŠู‡ุฏู ุงู„ูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฎุทูŠุจ ุชุญุณูŠู†
560
+
561
+ 141
562
+ 00:11:28,900 --> 00:11:34,620
563
+ ู…ุณุชูˆู‰ ุงู„ุฎุฏู…ุงุช ูˆุงู„ุงุชูุงู‚ ุจูƒูุงุกุฉ ู…ุคุณุณุงุชูƒ ูŠุนู†ูŠ
564
+
565
+ 142
566
+ 00:11:34,620 --> 00:11:40,280
567
+ ุงู„ู…ุคุณุณุงุช ุงู„ุชูŠ ุชู‚ุฏู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุฏู…ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ ู…ุงุฐุง
568
+
569
+ 143
570
+ 00:11:40,280 --> 00:11:46,300
571
+ ุฃูŠุถุงุŸ ุชุตุฑู ุงู„ุฌุงู…ุนุงุช ุงู„ุชูŠ ูŠุฏูุนูƒ ู„ู…ุณุฑู‚ ู…ุดูƒู„ุชูƒ ุนู„ู‰
572
+
573
+ 144
574
+ 00:11:46,300 --> 00:11:51,130
575
+ ุงู„ุงุฌุชู…ุงุน ู„ุฅุชูุงู‚ูƒ ุจู…ุดูƒู„ุชูƒู‡ุฐุง ุทุจุนุง ุชุซู‚ูŠู ุงู„ุฌู…ุงู‡ูŠุฑ ู„ูˆ
576
+
577
+ 145
578
+ 00:11:51,130 --> 00:11:54,490
579
+ ุจุฏู†ุง ู†ูˆุนูŠ ุงู„ุฌู…ุงู‡ูŠุฑ ูˆ ู…ุดูƒู„ุชู‡ู… ู„ุฃู† ุงู„ุฌุจู‡ูˆุฑ ู…ู…ูƒู† ูŠุนูŠุด
580
+
581
+ 146
582
+ 00:11:54,490 --> 00:11:58,310
583
+ ููŠ ุงู„ู…ุดูƒู„ุฉ ูˆ ู„ุง ูŠุญุณ ุจู‡ุง ูู‡ู†ุง ุจุฏู†ุง ู†ูˆุนูŠู‡ู… ูˆ ู†ุซู‚ูู‡ู…
584
+
585
+ 147
586
+ 00:11:58,310 --> 00:12:01,430
587
+ ุจุฃู‡ู… ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ุจูŠุนุงู†ูˆุง ู…ู†ู‡ุง ุงู„ู„ุชูŠ ูŠุชุนุงูŠุดูˆู†
588
+
589
+ 148
590
+ 00:12:01,430 --> 00:12:06,430
591
+ ู…ุนู‡ุง ูˆ ู†ุจูŠู† ู„ู‡ู… ุฃุถุฑุงุฑ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ุนู„ูŠู‡ู… ูู„ุฐู„ูƒ
592
+
593
+ 149
594
+ 00:12:06,430 --> 00:12:10,590
595
+ ู†ุนุชู…ุฏ ู…ุงุฐุง ุชุซู‚ูŠู ูˆ ุงู„ุชุซู‚ูŠู ู‡ู†ุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ู…ุงุฐุง
596
+
597
+ 150
598
+ 00:12:10,590 --> 00:12:16,100
599
+ ุฃุณุงู„ูŠุจ ูุฑุฏูŠุฉ ูˆ ุฌู…ุงุนูŠุฉ ูˆ ุฌู…ุงุนูŠุฑูŠุฉุจู†ุณุชุฎุฏู…ู‡ุง ููŠ ุชูˆุนูŠุฉ
600
+
601
+ 151
602
+ 00:12:16,100 --> 00:12:21,200
603
+ ุงู„ู†ุงุณ ูˆ ุชุจุตูŠุฑ ุงู„ู†ุงุณ ุงู„ู„ูŠ ู‡ูŠ ุงุณุชุซุงุฑุฉ ุงู„ู†ุงุณ ูŠุนู†ูŠ
604
+
605
+ 152
606
+ 00:12:21,200 --> 00:12:27,140
607
+ ุชุจุตูŠุฑู‡ู… ูˆ ุชูˆุถูŠุญ ู‡ุฐู‡ ุงู„ุฃู…ูˆุฑ ูƒู„ู‡ุง ู„ู‡ู… ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุงุตุฉ
608
+
609
+ 153
610
+ 00:12:27,140 --> 00:12:31,560
611
+ ุจู…ุดูƒู„ุงุช ูŠุนุงู†ูˆู† ู…ู†ู‡ุง ูˆ ู†ุดุงุฑูƒู‡ู… ููŠ ูƒูŠููŠุฉ ุงุชุฎุงุฐ
612
+
613
+ 154
614
+ 00:12:31,560 --> 00:12:36,240
615
+ ุงู„ู‚ุฑุงุฑุงุช ูˆ ูˆุถุน ุงู„ุฎุทุท ู„ู…ุนุงู„ุฌุฉ ุงู„ู…ุดูƒู„ุงุช ูˆู‡ุฐุง ูƒู„ู‡
616
+
617
+ 155
618
+ 00:12:36,240 --> 00:12:40,100
619
+ ุจูŠูƒูˆู† ุนู† ุทุฑูŠู‚ ุงู„ุชูู‚ูŠู ุงู„ุชูู‚ูŠู ุงู„ุฌู…ุงู‡ูŠุฑ ู„ุฒูŠุงุฏุฉ
620
+
621
+ 156
622
+ 00:12:40,100 --> 00:12:44,320
623
+ ูˆุนูŠู‡ู…ู…ุงุฐุง ุฃูŠุถู‹ุง ู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ุชุฎุทูŠุทูŠุฉ ุชุณุชู…ุฑ ุนู„ู‰
624
+
625
+ 157
626
+ 00:12:44,320 --> 00:12:51,220
627
+ ู…ุงุฐุงุŸ ู†ุนู…ุŒ
628
+
629
+ 158
630
+ 00:12:51,220 --> 00:12:55,460
631
+ ูˆุถุน ุณูŠุงุณุฉ ุนุงู…ุฉ ู„ู„ุฅุตู„ุงุญ ุงู„ุฅุฌุชู…ุงุนูŠ ูˆู‡ุฐุง ูƒู„ ู…ุง ุฐู‡ุจ
632
+
633
+ 159
634
+ 00:12:55,460 --> 00:13:00,820
635
+ ููŠู‡ ุฃูŠุถู‹ุงุŒ ูˆู‡ูˆ ุงู„ู‡ุฏู ุงู„ุชุฎุทูŠุทูŠ ุจุงู„ู†ุณุจุฉ ู„ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
636
+
637
+ 160
638
+ 00:13:00,820 --> 00:13:05,200
639
+ ุงู„ู…ุฌุชู…ุน ู‡ูˆ ูˆุถุน ุฎุทุฉ ุชู†ููŠุฐูŠุฉ ู…ู† ุฃุฌู„ ุงู„ุฅุตู„ุงุญ
640
+
641
+ 161
642
+ 00:13:05,200 --> 00:13:07,320
643
+ ุงู„ุฅุฌุชู…ุงุนูŠ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน
644
+
645
+ 162
646
+ 00:13:10,880 --> 00:13:16,840
647
+ ุทูŠุจ ููŠู‡ ุงู‡ุชู…ุงู… ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุงู„ุชุฎุทูŠุท ุทุจุนุง
648
+
649
+ 163
650
+ 00:13:16,840 --> 00:13:21,020
651
+ ู„ู…ุงุฐุง ุงู‡ุชู…ุช ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุงู„ุชุฎุทูŠุทุŸ ููŠ ุนู†ุฏู†ุง
652
+
653
+ 164
654
+ 00:13:21,020 --> 00:13:24,580
655
+ ุนูˆุงู…ู„ ู„ูˆ ุฑุฌุนุชูˆุง ู„ู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุฃุฏุช ุฅู„ู‰ ุธู‡ูˆุฑ ู…ุฑุญู„ุฉ
656
+
657
+ 165
658
+ 00:13:24,580 --> 00:13:29,200
659
+ ุงู„ุชุฎุทูŠุทุณู†ุฌุฏ ู…ู† ู‡ุฐู‡ ุงู„ุนูˆุงู…ู„ ุงู„ุชูŠ ุฃุฏุช ุฅู„ู‰ ุงู„ุชุฎุทูŠุท
660
+
661
+ 166
662
+ 00:13:29,200 --> 00:13:35,540
663
+ ุงู„ุฃุฒู…ุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ุงู„ุชูŠ ุญุฏุซุช ููŠ ุงู„ุนุงู„ู… ุนุงู… 1930 ู‡ุฐู‡
664
+
665
+ 167
666
+ 00:13:35,540 --> 00:13:40,360
667
+ ุฃุฒู…ุฉ ุงู‚ุชุตุงุฏูŠุฉ ุณุงุฏุช ุงู„ุนุงู„ู… ูˆููŠู‡ุง ู†ูˆุน ู…ู† ุงู„ูƒุณุงุฏ
668
+
669
+ 168
670
+ 00:13:40,360 --> 00:13:48,380
671
+ ุงู„ุงู‚ุชุตุงุฏูŠ ูˆุงู„ุจุทุงู„ุฉ ูˆู„ุฐู„ูƒ ุชุฃุซุฑ ุจูŠู‡ุง ุงู„ุนุงู„ู… ูƒู„ู‡ ูู‡ุฐู‡
672
+
673
+ 169
674
+ 00:13:48,380 --> 00:13:53,220
675
+ ุงู„ู…ุดูƒู„ุฉ ุณุจุจุช ุงู„ุงู„ุชุฌุงู‡ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฅู„ู‰
676
+
677
+ 170
678
+ 00:13:53,220 --> 00:13:54,940
679
+ ุงู„ุงู‡ุชู…ุงู… ุจุงู„ุชุฎุทูŠุท
680
+
681
+ 171
682
+ 00:13:57,100 --> 00:14:01,480
683
+ ู„ู…ุนุงู„ุฌุฉ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ู‡ุฐุง ุงู„ุณุจุจ ุงู„ุฃูˆู„ ูŠุนู†ูŠ ู…ู†
684
+
685
+ 172
686
+ 00:14:01,480 --> 00:14:04,960
687
+ ุงู„ุฃุณุจุงุจ ูุฌุงุก ุนู† ุทุฑูŠู‚ ุชู†ุธูŠู… ู…ุฌุชู…ุน ุชู‡ุชู… ุจุฅูŠู‡
688
+
689
+ 173
690
+ 00:14:04,960 --> 00:14:09,080
691
+ ุจุงู„ุชู‚ุทูŠุท ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃุฒู…ุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ููŠ ุงู„ุนุงู„ู… ูƒู„ู‡
692
+
693
+ 174
694
+ 00:14:09,080 --> 00:14:13,160
695
+ ุงู„ุฃุฒู…ุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ุญู„ุช ุงู„ู…ุฌุชู…ุน ุงู„ุฑุฆุงุณู…ุงู„ูŠ ุทุจุนุง ู…ุง
696
+
697
+ 175
698
+ 00:14:13,160 --> 00:14:17,960
699
+ ุนุฏู‰ ุงู„ู…ุฌุชู…ุน ุงู„ุงุดุชุฑุงูƒูŠ ูƒุงู†ุช ุฑูˆุณูŠุงูŠุนู†ูŠ ููŠ ุชู„ูƒ ุงู„ุณู†ุฉ
700
+
701
+ 176
702
+ 00:14:17,960 --> 00:14:21,540
703
+ ุนุงู… 1930 ู„ู… ุชุนุงู†ูŠ ู…ู† ุงู„ุฃุฒู…ุฉ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ู„ู…ุงุฐุงุŸ
704
+
705
+ 177
706
+ 00:14:21,540 --> 00:14:24,900
707
+ ู„ุฃู†ู‡ุง ุชุจุนุช ุงู„ุฃุณู„ูˆุจ ุงู„ุงุดุชุฑุงูƒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฎุทูŠุท
708
+
709
+ 178
710
+ 00:14:24,900 --> 00:14:28,180
711
+ ุงู„ุดุงู…ู„ ู„ูƒู† ุงู„ุฏูˆู„ ุงู„ุฃุฎุฑู‰ ุงู„ุฑุฆุงุณู…ุงู„ูŠุฉ ูˆุบูŠุฑู‡ุง ูƒุงู†ุช
712
+
713
+ 179
714
+ 00:14:28,180 --> 00:14:32,340
715
+ ุชุชุจุน ุงู„ุชุฎุทูŠุท ุงู„ุฌุฒุก ุงู„ุชุฎุทูŠุท ุงู„ุฑุฆุงุณู…ุงู„ูŠ ุงู„ูุฑุฏูŠ ุงู„ุฌุฒุก
716
+
717
+ 180
718
+ 00:14:32,340 --> 00:14:37,030
719
+ ู…ุด ุงู„ุดุงู…ู„ุŒ ูˆุงุถุญุŸ ูู„ุฐู„ูƒ ุนุงู†ุชุงู„ุชูุงู„ ุชุฌู‡ุช ุฅู„ู‰
720
+
721
+ 181
722
+ 00:14:37,030 --> 00:14:43,290
723
+ ุงู„ุงุณุชุฎุฏุงู… ุงู„ุชุฎุทูŠุท ุฃูŠุถู‹ุง ู„ู…ุณุงุนุฏุฉ ู‡ุฐู‡ ุงู„ุฏูˆู„ ุนู„ู‰
724
+
725
+ 182
726
+ 00:14:43,290 --> 00:14:46,950
727
+ ู…ุนุงู„ุฌุฉ ู…ุดูƒู„ุชู‡ุงุŒ ูุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุงุณุชุฎุฏู…ุช
728
+
729
+ 183
730
+ 00:14:46,950 --> 00:14:51,130
731
+ ุงู„ุชุฎุทูŠุท ููŠ ุงู„ู…ุฌุชู…ุนุงุช ุงู„ุฑุฃุณู…ุงู„ูŠุฉ ู„ู…ุณุงุนุฏุฉ ู‡ุฐู‡
732
+
733
+ 184
734
+ 00:14:51,130 --> 00:14:54,850
735
+ ุงู„ู…ุฌุชู…ุนุงุช ุนู„ู‰ ุงู„ุชุบู„ุจ ุนู„ู‰ ุงู„ู…ุดูƒู„ุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
736
+
737
+ 185
738
+ 00:14:54,850 --> 00:14:58,110
739
+ ูˆุงู„ุงู‚ุชุตุงุฏูŠุฉ ุงู„ุชูŠ ุชุนุงู†ูŠ ู…ู†ู‡ุงุŒ ุฎุงุตุฉ ุงู„ู…ุดูƒู„ุงุช
740
+
741
+ 186
742
+ 00:14:58,110 --> 00:15:01,650
743
+ ุงู„ุงู‚ุชุตุงุฏูŠุฉ ูˆู…ุง ูŠุชุฑุชุจ ุนู„ูŠู‡ุง ู…ู† ู…ุดูƒู„ุงุช ุงุฌุชู…ุงุนูŠุฉ ูƒุฐู„ูƒ
744
+
745
+ 187
746
+ 00:15:03,400 --> 00:15:07,180
747
+ ูˆุนู„ู‰ ู‡ุฐุง ุงู‡ุชู…ุช ุงู„ุทุฑูŠู‚ุฉ ุจุงู„ุณูŠุงุณุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ
748
+
749
+ 188
750
+ 00:15:07,180 --> 00:15:11,500
751
+ ูˆุงู„ุชุฎุทูŠุท ุงู„ุงุฌุชู…ุงุนูŠ ู„ู…ูˆุงุฌู‡ุฉ ู…ุดูƒู„ุงุช ุงู„ู…ุฌุชู…ุน ูˆุญุงุฌุงุช
752
+
753
+ 189
754
+ 00:15:11,500 --> 00:15:17,140
755
+ ุงู„ู…ุฌุชู…ุน ุทุจุนุง
756
+
757
+ 190
758
+ 00:15:17,140 --> 00:15:22,340
759
+ ุนู†ุฏู†ุง ู…ุดุงูƒู„ ูƒุซูŠุฑุฉ ู†ุชุฌุช ุนู† ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุงู„ุจุทุงู„ุฉ
760
+
761
+ 191
762
+ 00:15:22,340 --> 00:15:28,020
763
+ ูˆุงู„ุฌูˆุน ูˆุงู„ูู‚ุฑ ูˆุณูˆุก ุงู„ู…ุณุงูƒู† ูˆุณูˆุก ุงู„ุญุงู„ุฉ ุงู„ุตุญูŠุฉ ูˆุบูŠุฑ
764
+
765
+ 192
766
+ 00:15:28,020 --> 00:15:33,430
767
+ ุฐู„ูƒ ู…ู† ุงู„ู…ุดูƒู„ุฉุงู„ูƒู„ ุจุฐู„ูƒ ุฅู†ุชู‡ูŠู†ุง ู…ู† ุงู„ุฃู‡ุฏุงู
768
+
769
+ 193
770
+ 00:15:33,430 --> 00:15:37,670
771
+ ุงู„ุชุฎุทูŠุทูŠุฉ ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ููŠ ุนู†ุฏู†ุง ุจุนุฏ ุฐู„ูƒ
772
+
773
+ 194
774
+ 00:15:37,670 --> 00:15:43,670
775
+ ู†ุงุชูŠ ุฅู„ู‰ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉุŒ ุฃู‡ุฏุงู ุชู†ู…ูˆูŠุฉ ููŠ ุทุฑูŠู‚
776
+
777
+ 195
778
+ 00:15:43,670 --> 00:15:47,870
779
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ูููŠ ุฃู‡ุฏุงู ุชุณุนู‰ ุฅู„ูŠู‡ุง ุทุฑูŠู‚ ุชู†ุธูŠู…
780
+
781
+ 196
782
+ 00:15:47,870 --> 00:15:52,370
783
+ ุงู„ู…ุฌุชู…ุน ููŠ ุงู„ู†ุงุญูŠุฉ ุงู„ุชู†ู…ูˆูŠุฉุŒ ู…ุง ู‡ูŠ ู‡ุฐู‡ ุงู„ุฃู‡ุฏุงูุŸ
784
+
785
+ 197
786
+ 00:15:52,370 --> 00:15:55,790
787
+ ุงู„ู„ูŠ ู…ุง ุงุชูƒู„ู…ุชุด ู†ู‡ุงุฆูŠุงุŒ ุฃูŠูˆุฉ ูŠุง ุจู†ุชูŠุŸ ุงู„ุนู…ู„ ุนู„ู‰
788
+
789
+ 198
790
+ 00:15:55,790 --> 00:15:59,700
791
+ ุชุญูˆูŠู„ ุงู„ุชุนุงู…ู„ ุจูŠู† ุฃู‡ุฏุงู ุงู„ู…ุฌุชู…ุน ุงู„ู…ุฎุชู„ูุฉู…ู† ุงู„ุฃุฏุงู
792
+
793
+ 199
794
+ 00:15:59,700 --> 00:16:04,220
795
+ ุงู„ุชู†ู…ูˆูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุนุงูˆู† ุจูŠู† ูˆุญุฏุงุช ุงู„ู…ุฌุชู…ุน ู„ุฃู† ู…ู†
796
+
797
+ 200
798
+ 00:16:04,220 --> 00:16:09,880
799
+ ุฎู„ุงู„ ุงู„ุชุนุงูˆู† ู†ุณุชุทูŠุน ุฃู† ู†ุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ ู„ุฃู† ุจุฏูˆู†
800
+
801
+ 201
802
+ 00:16:09,880 --> 00:16:13,240
803
+ ุงู„ุชุนุงูˆู† ุจูŠู† ุงู„ู…ุคุณุณุงุช ูˆุงู„ู…ุฌุชู…ุน ู„ุง ูŠู…ูƒู† ุชุญู‚ูŠู‚
804
+
805
+ 202
806
+ 00:16:13,240 --> 00:16:18,460
807
+ ุงู„ุชู†ู…ูŠุฉ ู„ุฃู† ูƒู„ ู…ุคุณุณุฉ ุชูƒู…ู„ ู†ุดุงุท ุงู„ุฃุฎุฑู‰ ูู„ุฐู„ูƒ ู„ุงุจุฏ
808
+
809
+ 203
810
+ 00:16:18,460 --> 00:16:21,320
811
+ ู…ู† ุงู„ุชุนุงูˆู† ุจูŠู† ุงู„ู…ุคุณุณุงุช ุงู„ู„ูŠ ู‡ูŠุชุนู…ู„ ููŠ ู†ูุณ ุงู„ู…ุฌุงู„
812
+
813
+ 204
814
+ 00:16:21,320 --> 00:16:25,400
815
+ ูˆุงู„ู…ุคุณุณุงุช ุงู„ู„ูŠ ู‡ูŠุชุชุนู…ู„ ููŠ ู…ุฌุงู„ุงุช ู…ุฎุชู„ูุฉ ุฃูŠุถุง ุญุชู‰
816
+
817
+ 205
818
+ 00:16:25,400 --> 00:16:31,190
819
+ ู†ุณุชุทูŠุน ุฃู† ู†ุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ ู„ู„ู…ุฌุชู…ุนู…ุงุฐุง ุฃูŠุถู‹ุงุŸ ู‡ุฏู
820
+
821
+ 206
822
+ 00:16:31,190 --> 00:16:35,890
823
+ ุงู„ุชู†ู…ูŠุฉ ุชู‡ุฏู ู„ู…ุงุฐุงุŸ ุงู„ุนู…ู„ ุนู„ู‰ ุชุญู‚ูŠู‚ ุงู„ุชู…ุงุณูƒ ุจูŠู†
824
+
825
+ 207
826
+ 00:16:35,890 --> 00:16:41,770
827
+ ู…ุคุณุณุงุช ุงู„ู…ุฌุชู…ุน ุฃูŠุถู‹ุง ู…ู† ุฃุฌู„ ุฃู† ู†ุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ ูู„ุฐู„ูƒ
828
+
829
+ 208
830
+ 00:16:41,770 --> 00:16:46,130
831
+ ู„ุงุจุฏ ู…ู† ุชุญู‚ูŠู‚ ุงู„ุชู…ุงุณูƒ ุจูŠู† ู…ุคุณุณุงุช ุงู„ู…ุฌุชู…ุน ู„ุฃู† ุจุฏูˆู†
832
+
833
+ 209
834
+ 00:16:46,130 --> 00:16:51,050
835
+ ุงู„ุชู…ุงุณูƒ ู„ุง ูŠู…ูƒู† ุฃู† ุชุชุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ ูˆู„ุฐู„ูƒ ู†ู‚ูˆู„ ููŠ
836
+
837
+ 210
838
+ 00:16:51,050 --> 00:16:57,380
839
+ ุงู„ุฅุชุญุงุฏ ู‚ูˆุฉ ูˆููŠ ุงู„ุชูุฑู‚ ุถุนููˆุงุฏูŠุช ุนู„ู‰ ุงู„ุฃูุฑุงุฏ
840
+
841
+ 211
842
+ 00:16:57,380 --> 00:17:02,040
843
+ ูˆุงู„ุฌู…ุงุนุงุช ูˆุงู„ู…ุคุณุณุงุช ูˆุบูŠุฑ ุฐู„ูƒ ูˆู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ู„ุงุจุฏ ุฃู†
844
+
845
+ 212
846
+ 00:17:02,040 --> 00:17:07,960
847
+ ู†ุญู‚ู‚ ุงู„ุชู…ุงุณูƒ ูˆุงู„ุชุฑุงุจุท ุจูŠู† ูˆ ุงู„ูˆุญุฏุฉ ุฃูˆ ุงุชุญุงุฏ ุนุฏุฏ ู…ู†
848
+
849
+ 213
850
+ 00:17:07,960 --> 00:17:10,680
851
+ ุงู„ู…ุคุณุณุงุช ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆุง ููŠ ู†ูุณ ุงู„ู…ุฌุงู„ ูŠุชุนุงูˆู†ูˆุง ู…ุน
852
+
853
+ 214
854
+ 00:17:10,680 --> 00:17:14,920
855
+ ุจุนุถ ู…ู† ุจุนุถ ู‡ู†ุง ุจู†ุญู‚ู‚ ู…ุงุฐุงุŸ ู†ุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ ุฏุงุฎู„
856
+
857
+ 215
858
+ 00:17:14,920 --> 00:17:21,540
859
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ุฏุงุฆู…ุง ุงู„ุชุนุงูˆู† ูŠุณุงุนุฏู†ุง ุฃูˆ ุงู„ุชู†ู…ูŠุฉ ู…ู†
860
+
861
+ 216
862
+ 00:17:21,540 --> 00:17:25,580
863
+ ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุชุญู‚ูŠู‚ ุงู„ุชู…ุงุณูƒุฏุงุฎู„ ุงู„ู…ุฌุชู…ุนุŒ
864
+
865
+ 217
866
+ 00:17:25,580 --> 00:17:29,940
867
+ ู…ุงุฐุง ุฃูŠุถู‹ุง ู…ู† ุฃู‡ุฏุงู ุงู„ุชู„ู…ูˆูŠุฉ ุงู„ุชูŠ ุชู‚ูˆู… ุจู‡ุง ุทุฑูŠู‚ุฉ
868
+
869
+ 218
870
+ 00:17:29,940 --> 00:17:35,220
871
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŸ ุชุดุฌูŠุน ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุชุญุฏูŠุฏ ุงู„ู…ุดูƒู„ุงุช
872
+
873
+ 219
874
+ 00:17:35,220 --> 00:17:38,960
875
+ ูˆุฅุชุฎุงุฐ ุงู„ุชุทูˆูŠุฑ ุงู„ู„ุงุฒู…ุฉ ู„ู…ุนุงุฌุฒุฉ ุชู„ูƒ ุงู„ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ู‡ูŠ
876
+
877
+ 220
878
+ 00:17:38,960 --> 00:17:43,260
879
+ ุณุดุฌูŠุน ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุชุญุฏูŠุฏ ุงู„ู…ุดูƒู„ุฉ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
880
+
881
+ 221
882
+ 00:17:43,260 --> 00:17:48,610
883
+ ุงู„ู…ุฌุชู…ุน ุชุดุฌุน ุงู„ู…ุฌุชู…ุน ุนู„ู‰ ุฃู†ู‡ ูŠุนุฑู ู…ุดูƒู„ุชู‡ ูˆูŠุญุฏุฏู‡ุงูˆ
884
+
885
+ 222
886
+ 00:17:48,610 --> 00:17:53,290
887
+ ู‡ู†ุง ุทุจุนุง ุฅุฐุง ุนุฑูู†ุง ุงู„ู…ุดูƒู„ุงุช ู†ุณุชุทูŠุน ุฃู† ู†ุชุฎุฐ ุงู„ุฎุทูˆุงุช
888
+
889
+ 223
890
+ 00:17:53,290 --> 00:17:58,950
891
+ ุงู„ู„ุงุฒู…ุฉ ู„ู…ุนุงู„ุฌุฉ ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ุฃูˆ ุงู„ู…ุดูƒู„ุฉ ุฎุงุตุฉ
892
+
893
+ 224
894
+ 00:17:58,950 --> 00:18:05,130
895
+ ุจุงู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃู„ุจุณ ุงู„ุฃู‡ุฏุงู ุงู„ุชู„ู…ูˆูŠุฉ ุชุณุนู‰ ู„ูŠู‡ุง
896
+
897
+ 225
898
+ 00:18:05,130 --> 00:18:09,150
899
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูƒูŠู ุชูƒูˆู† ุชููƒูŠุฑ ุงู„ูˆุนูŠ ุงู„ุงุฌุชู…ุงุนูŠ
900
+
901
+ 226
902
+ 00:18:09,150 --> 00:18:12,530
903
+ ูˆุงู„ุฅู†ุชุงุฌูŠ ุจูŠู† ุงู„ู…ูˆุงุทู†ูŠู† ุนู† ุทุฑูŠู‚ ุงู„ู…ุญุงุถุฑุงุช ูˆุงู„ู†ุฏูˆุงุช
904
+
905
+ 227
906
+ 00:18:12,530 --> 00:18:16,330
907
+ ูˆุงู„ุจุฑุงู…ุฌุงู‡ ูˆ ู‡ู†ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุจุชูƒูˆู† ุจุฅุฏูƒุงุก
908
+
909
+ 228
910
+ 00:18:16,330 --> 00:18:20,970
911
+ ุงู„ูˆุนูŠ ุงู„ุงุฌุชู…ุงุนูŠ ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุณู…ูŠู‡ ุงู„ุชุซู‚ูŠู ุงู„ุชุซู‚ูŠู
912
+
913
+ 229
914
+ 00:18:20,970 --> 00:18:25,750
915
+ ุจุงู„ุฃุณุงู„ูŠุจ ุงู„ูุฑุฏูŠุฉ ูˆุงู„ุฌู…ุงุนูŠุฉ ูˆุงู„ุฌู…ุงู‡ูŠุฑูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
916
+
917
+ 230
918
+ 00:18:25,750 --> 00:18:29,650
919
+ ู…ู†ู‡ุง ุนู† ุทุฑูŠู‚ ู…ุญุงุถุฑุงุช ูˆู†ุฏูˆุงุช ูˆูˆุณุงุฆู„ ุงู„ุฅุนู„ุงู…
920
+
921
+ 231
922
+ 00:18:29,650 --> 00:18:34,250
923
+ ุงู„ู…ุฎุชู„ูุฉุŒ ุชู„ูุงุฒ ูˆุฅุฏุงุนุฉ ูˆุตุญุงูุฉ ูˆุบูŠุฑ ุฐู„ูƒุŒ ู‡ุฐุง ูƒู„ู‡
924
+
925
+ 232
926
+ 00:18:34,250 --> 00:18:39,350
927
+ ูŠุนู†ูŠ ู…ุชุนู„ู‚ ุจุงู„ุฃู‡ุฏุงู ุงู„ุชู„ู…ูˆูŠุฉุŒ ู…ุงุฐุง ุฃูŠุถุงุŸูƒูŠู ู†ุณุชุฎุฏู…
928
+
929
+ 233
930
+ 00:18:39,350 --> 00:18:41,570
931
+ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŸ ูƒูŠู
932
+
933
+ 234
934
+ 00:18:41,570 --> 00:18:44,970
935
+ ุจุชุณุงุนุฏู†ุง ุนู„ู‰ ุชุญู‚ูŠู‚ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ููŠ ุทุฑูŠู‚ ุชู†ุธูŠู…
936
+
937
+ 235
938
+ 00:18:44,970 --> 00:18:48,430
939
+ ุงู„ู…ุฌุชู…ุนุŸ ุชุฏุฑูŠุจ ุงู„ู…ูˆุงุทู†ูŠู† ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุงู„ุฃุฏูˆุงุฑ
940
+
941
+ 236
942
+ 00:18:48,430 --> 00:18:51,270
943
+ ุงู„ู‚ูŠุงุฏูŠุฉ ููŠ ุงู„ู…ูˆุงู‚ู ุงู„ุชูŠ ุชุชู„ู‚ู‰ ู…ุน ู‚ุฏุฑุงุชู‡ู…
944
+
945
+ 237
946
+ 00:18:51,270 --> 00:18:54,430
947
+ ูˆุฅู…ูƒุงู†ุงุชู‡ู…ุŸ ุจุงู„ุถุจุทุŒ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชูƒูˆู†
948
+
949
+ 238
950
+ 00:18:54,430 --> 00:18:58,790
951
+ ุจุชุฏุฑูŠุจ ุงู„ู…ูˆุงุทู†ูŠู† ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจุงู„ุฃุฏูˆุงุฑ ุงู„ู‚ูŠุงุฏูŠุฉ ููŠ
952
+
953
+ 239
954
+ 00:18:58,790 --> 00:19:01,530
955
+ ุงู„ู…ูˆุงู‚ู ุงู„ุชูŠ ุชุชู„ู‚ู‰ ู…ุน ู‚ุฏุฑุงุชู‡ู… ูˆุฅู…ูƒุงู†ุงุชู‡ู…
956
+
957
+ 240
958
+ 00:19:05,090 --> 00:19:08,870
959
+ ู„ุฃู† ููŠ ุงู„ู…ูˆุงู‚ู ู‡ู†ุงูƒ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ู‚ูŠุงุฏุฉ ุงู„ู…ูˆู‚ููŠุฉุŒ
960
+
961
+ 241
962
+ 00:19:08,870 --> 00:19:12,090
963
+ ู„ุง ูŠุธู‡ุฑ ุงู„ู‚ุงุฆุฏ ุฅู„ุง ู…ู† ุฎู„ุงู„ ุงู„ู…ูˆุงู‚ูุŒ ูู„ุฐู„ูƒ ุงุญู†ุง
964
+
965
+ 242
966
+ 00:19:12,090 --> 00:19:17,710
967
+ ุจู†ุงุฎุฏ ู‡ุคู„ุงุก ู…ู† ุฎู„ุงู„ ุฏูˆุฑู‡ู… ุงู„ู‚ูŠุงุฏูŠ ููŠ ุงู„ู…ุฌุชู…ุน ูˆู†ู‚ูˆู…
968
+
969
+ 243
970
+ 00:19:17,710 --> 00:19:22,570
971
+ ุจุชุนู„ูŠู…ู‡ู… ูˆู…ุนุงู‚ุฏ ุฏูˆุฑุงุช ุชุฏุฑูŠุจูŠุฉ ู„ู‡ู… ุญุชู‰ ูŠุณุชุทูŠุนูˆุง
972
+
973
+ 244
974
+ 00:19:22,570 --> 00:19:26,860
975
+ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุนู…ู† ุฎู„ุงู„ ุงู„ุชุฃุซูŠุฑ ุนู„ู‰ ุฃูุฑุงุฏ
976
+
977
+ 245
978
+ 00:19:26,860 --> 00:19:30,860
979
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู‡ู†ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุญุชู‰ ุชุญู‚ู‚
980
+
981
+ 246
982
+ 00:19:30,860 --> 00:19:35,200
983
+ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ู„ุงุจุฏ ุฃู† ุชู‚ูˆู… ุจุชุฏุฑูŠุจ ุงู„ู…ูˆุงุทู†ูŠู†
984
+
985
+ 247
986
+ 00:19:35,200 --> 00:19:41,980
987
+ ุงู„ุฐูŠู† ุชูƒุชุดูู‡ู… ูˆู„ู‡ู… ุฏูˆุฑ ู‚ูŠุงุฏูŠ ููŠ ุงู„ู…ุฌุชู…ุน ูˆุงุถุญุŸ ูˆู‡ุฐุง
988
+
989
+ 248
990
+ 00:19:41,980 --> 00:19:46,820
991
+ ุจู†ุณ๏ฟฝ๏ฟฝูŠู‡ ุชุฏุฑูŠุจ ุงู„ู‚ุงุฏุฉ ุชุฏุฑูŠุจ ู‚ุงุฏุฉ ุงู„ู…ุฌุชู…ุน ูˆู‡ุฐุง ุฏูˆุฑ
992
+
993
+ 249
994
+ 00:19:46,820 --> 00:19:51,460
995
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชู‚ูˆู… ุจู‡ุฐุง ุงู„ุฏูˆุฑ ู…ุงุฐุง ุฃูŠุถุงุŸ
996
+
997
+ 250
998
+ 00:19:52,030 --> 00:19:55,590
999
+ ุชูˆููŠุฑ ุฅุญุณุงุณ ู‚ูˆู‰ ุจุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ู…ู† ุฎู„ุงู„ ุงู„ู…ูˆุงู‚ุจุฉ
1000
+
1001
+ 251
1002
+ 00:19:55,590 --> 00:19:58,570
1003
+ ุจูŠู† ู…ุตุงุฏูƒ ุงู„ู†ุงุณ ูˆู…ุตุงุฏูƒ ุงู„ู…ุฌุชู…ุน ุงู„ูƒุชูŠุฑุŸ ูƒูˆูŠุณ ูˆู‡ุฐุง
1004
+
1005
+ 252
1006
+ 00:19:58,570 --> 00:20:01,710
1007
+ ู…ุง ุชุณุนู‰ ู„ูŠู‡ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู ุงู„ู…ุฌุชู…ุน ุญุชู‰ ุชุญู‚ู‚ ุงู„ุชู†ู…ูŠุฉ
1008
+
1009
+ 253
1010
+ 00:20:01,710 --> 00:20:06,170
1011
+ ูู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ู„ูŠู‡ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงู†ุชู…ุงุก
1012
+
1013
+ 254
1014
+ 00:20:06,170 --> 00:20:12,290
1015
+ ุงู„ุงู†ุชู…ุงุก ูˆุงู„ูˆู„ุงุก ู„ู„ู…ุฌุชู…ุนูˆู‡ุฐุง ู…ุง ุชู‚ูˆู… ุจูŠู‡ ุทุฑูŠู‚ุฉ
1016
+
1017
+ 255
1018
+ 00:20:12,290 --> 00:20:17,230
1019
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŒ ุบุฑุณ ุงู„ุงู†ุชู…ุงุก ู„ุฏู‰ ุฃุจู†ุงุก ุงู„ู…ุฌุชู…ุนุŒ
1020
+
1021
+ 256
1022
+ 00:20:17,230 --> 00:20:21,210
1023
+ ู„ุฃู†ู‡ ุฅุฐุง ุฒุงุฏ ุงู„ุงู†ุชู…ุงุก ู„ุฏู‰ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุนุŒ ุจุชุฒูŠุฏ
1024
+
1025
+ 257
1026
+ 00:20:21,210 --> 00:20:27,340
1027
+ ู…ุดุงุฑูƒุฉ ุงู„ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุนููŠ ุฏุฑุงุณุฉ ู…ุดูƒู„ุงุชู‡ู… ูˆุงู„ุชูŠ ู‡ูŠ
1028
+
1029
+ 258
1030
+ 00:20:27,340 --> 00:20:31,920
1031
+ ุงู„ุชุฏุฎู„ ููŠ ุงุชุฎุงุฐ ุงู„ู‚ุฑุงุฑุงุช ุงู„ู„ุงุฒู…ุฉ ู„ุนู„ุงุฌ ู‡ุฐู‡
1032
+
1033
+ 259
1034
+ 00:20:31,920 --> 00:20:35,320
1035
+ ุงู„ู…ุดูƒู„ุงุช ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุง ููŠ ุนู„ุงู‚ุฉ ุชุฑุถูŠุฉ ู…ุง ุจูŠู†
1036
+
1037
+ 260
1038
+ 00:20:35,320 --> 00:20:39,760
1039
+ ุงู„ุงู†ุชู…ุงุก ูˆุงู„ู…ุดุงุฑูƒุฉ ู…ู† ู‚ุจู„ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ููŠ ู…ุนุงู„ุฌุฉ
1040
+
1041
+ 261
1042
+ 00:20:39,760 --> 00:20:44,760
1043
+ ู…ุดูƒู„ุงุชู‡ู… ูุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฏุงุฆู…ุง ุชุนู…ู„ ุนู„ู‰ ุฒูŠุงุฏุฉ
1044
+
1045
+ 262
1046
+ 00:20:44,760 --> 00:20:48,440
1047
+ ุงู„ูˆู„ุงุก ูˆุงู„ุงู†ุชู…ุงุก ู„ู„ู…ุฌุชู…ุน ู„ู…ุงุฐุง ุชุนู…ู„ ุงู„ูˆู„ุงุก
1048
+
1049
+ 263
1050
+ 00:20:48,440 --> 00:20:53,480
1051
+ ูˆุงู„ุงู†ุชู…ุงุกุŸุญุชู‰ ุชุฌุนู„ ู…ู† ุงู„ู…ูˆุงุทู†ูŠู† ุฃู† ูŠุดุงุฑูƒูˆุง ููŠ ุนู„ุงุฌ
1052
+
1053
+ 264
1054
+ 00:20:53,480 --> 00:20:59,700
1055
+ ู…ุดูƒู„ุชู‡ู… ูˆุฅุฐุง ุณุงู‡ู… ุงู„ู…ูˆุงุทู†ูŠู† ููŠ ุนู„ุงุฌ ู…ุดูƒู„ุชู‡ู… ู…ู…ูƒู†
1056
+
1057
+ 265
1058
+ 00:20:59,700 --> 00:21:03,400
1059
+ ู‡ู†ุง ุชุญุฏุซ ุชู†ู…ูŠุฉ ูˆู„ุง ู„ุง ุชุญุฏุซ ุงู„ุชู†ู…ูŠุฉ ูˆู‡ุฐู‡ ู…ุง ุชุณุนู‰
1060
+
1061
+ 266
1062
+ 00:21:03,400 --> 00:21:07,280
1063
+ ุฅู„ูŠู‡ ุงู„ุชู†ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ู…ู† ุญูŠุซ
1064
+
1065
+ 267
1066
+ 00:21:07,280 --> 00:21:12,580
1067
+ ุชุญู‚ูŠู‚ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ู…ุงุฐุง
1068
+
1069
+ 268
1070
+ 00:21:12,580 --> 00:21:16,560
1071
+ ุฃูŠุถุงุŸ ุฑุฃูŠ ูŠุง ุจู†ุชูŠุŸุงู„ู„ูŠ ุนู…ู„ ุนู„ู‰ ุฅุจุฑุงุฒ ุงู„ุฃุซุงุฑ
1072
+
1073
+ 269
1074
+ 00:21:16,560 --> 00:21:19,560
1075
+ ูˆุงู„ู†ุชุงุฆุฌ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุชุฑุชุจุฉ ุนู„ู‰ ุงู„ู‚ูŠุงู… ุจู…ุดุฑูˆุนุงุช
1076
+
1077
+ 270
1078
+ 00:21:19,560 --> 00:21:23,620
1079
+ ู…ุนูŠู†ุฉ ุจุทุงุจุน ุชูƒู†ูˆู„ูˆุฌูŠ ุฃูˆ ู…ุง ุฏูŠ ู…ุง ุงุชุฎุตู„ ููŠูƒ ู†ุชุงุฆุฌ
1080
+
1081
+ 271
1082
+ 00:21:23,620 --> 00:21:26,980
1083
+ ุงุฌุชู…ุงุนูŠุฉ ุบูŠุฑ ู…ุชูˆู‚ุนุฉ ู…ู† ู…ุณุงุนุฏุฉ ุจุงู„ุชุญุฑูƒ ู„ู…ูˆุงุฌู‡ุฉ ู‡ุฐู‡
1084
+
1085
+ 272
1086
+ 00:21:26,980 --> 00:21:30,820
1087
+ ุงู„ู†ุชุงุฆุฌ ุทุจุนุง ุงุญู†ุง ุนุงุฑููŠู† ุงูŠ ุชุบูŠุฑ ุงุฌุชู…ุงุนูŠ ุจูŠุญุฏุซ ุนู†ู‡
1088
+
1089
+ 273
1090
+ 00:21:30,820 --> 00:21:36,070
1091
+ ู…ุดุงูƒู„ุฃูŠ ุชุบูŠูŠุฑุงุช ุจูŠุญุฏุซ ุนู†ู‡ุง ู…ุดุงูƒู„ุŒ ูุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1092
+
1093
+ 274
1094
+ 00:21:36,070 --> 00:21:40,470
1095
+ ุงู„ู…ุฌุชู…ุน ู…ู† ุฏูˆุฑู‡ุง ู‡ูŠ ู…ู„ุงุญู‚ุฉ ู†ุชุงุฆุฌ ู‡ุฐู‡ ุงู„ุชุบูŠูŠุฑุงุช
1096
+
1097
+ 275
1098
+ 00:21:40,470 --> 00:21:43,730
1099
+ ุงู„ู„ูŠ ุชุญุฏุซ ุจุงู„ู…ุฌุชู…ุนุŒ ูˆุฎุงุตุฉ ู…ู† ุงู„ุชุบูŠูŠุฑุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
1100
+
1101
+ 276
1102
+ 00:21:43,730 --> 00:21:49,500
1103
+ ูˆู…ุง ูŠุญุฏุซ ุนู†ู‡ุง ู…ู† ู…ุดูƒู„ุงุช ู„ู„ู…ุฌุชู…ุนูู„ุงุจุฏ ุฃู† ู†ู„ุงุญู‚ ู‡ุฐู‡
1104
+
1105
+ 277
1106
+ 00:21:49,500 --> 00:21:53,640
1107
+ ุงู„ู…ุดูƒู„ุงุช ูˆู†ุชุงุจุนู‡ุง ูˆุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชุณุชุทูŠุน ุฃู†
1108
+
1109
+ 278
1110
+ 00:21:53,640 --> 00:21:59,400
1111
+ ุชุชุงุจุน ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ูˆุชุถุน ุงู„ุฎุทุท ุงู„ู„ุงุฒู…ุฉ ูˆุงู„ู…ู„ุงุฆู…ุฉ ู…ู†
1112
+
1113
+ 279
1114
+ 00:21:59,400 --> 00:22:05,580
1115
+ ุฃุฌู„ ุงู„ุชุบู„ุจ ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฃุซุงุฑ ุงู„ุชุณูŠุฆุฉ ูˆุงู„ุณู„ุจูŠุฉ ู„ุฃุซุงุฑ
1116
+
1117
+ 280
1118
+ 00:22:05,580 --> 00:22:10,640
1119
+ ุงู„ุชุบูŠุฑ ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุงู„ู…ุฌุชู…ุน ุฃูˆ ุงู„ุชุบูŠุฑ ุงู„ุงุฌุชู…ุงุนูŠ ููŠ
1120
+
1121
+ 281
1122
+ 00:22:10,640 --> 00:22:15,150
1123
+ ุงู„ู…ุฌุชู…ุน ูู„ุฐู„ูƒ ู…ู† ู‡ู†ุงู„ุงุจุฏ ู…ู† ุฏูˆุฑ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1124
+
1125
+ 282
1126
+ 00:22:15,150 --> 00:22:19,150
1127
+ ุงู„ู…ุฌุชู…ุน ุญุชู‰ ุชุญุฏุซ ุงู„ุชู†ู…ูŠุฉ ู…ู† ุงู„ุฃุฏุงูุงุช ุงู„ุชู†ู…ูˆูŠุฉ ุงู„ู„ูŠ
1128
+
1129
+ 283
1130
+ 00:22:19,150 --> 00:22:24,190
1131
+ ู‡ูˆ ู…ุนุฑูุฉ ุงู„ุฃุซุงุฑ ูˆุงู„ู†ุชุงุฌ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุงู„ู…ุชุฑุชุจุฉ ุนู„ู‰
1132
+
1133
+ 284
1134
+ 00:22:24,190 --> 00:22:30,070
1135
+ ุงู„ุชุบูŠุฑ ุงู„ุงุฌุชู…ุงุนูŠ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ุทุจุนุง ู‡ู†ุง ููŠ ุชุบูŠุฑุงุช
1136
+
1137
+ 285
1138
+ 00:22:30,070 --> 00:22:34,830
1139
+ ุฃุญูŠุงู†ุง ู…ุงุฏูŠุฉ ูˆุฃุญูŠุงู†ุง ุงุฌุชู…ุงุนูŠุฉ ูŠุนู†ูŠ ู„ู‡ุง ุฃุซุงุฑ ุณู„ุจูŠุฉ
1140
+
1141
+ 286
1142
+ 00:22:34,830 --> 00:22:38,970
1143
+ ููŠ ุงู„ู…ุฌุชู…ุน ูุงุญู†ุง ู†ู‡ุชู… ุจุงู„ุฃุซุงุฑ ุงู„ุงุฌุชู…ุงุนูŠุฉ ุฒุงุฆุฏ
1144
+
1145
+ 287
1146
+ 00:22:38,970 --> 00:22:42,850
1147
+ ุงู„ุฃุซุงุฑ ุงู„ู…ุงุฏูŠุฉ ูˆู…ุง ูŠู†ุชุฌ ุนู†ู‡ุง ู…ู† ู…ุดูƒู„ุงุช ุงุฌุชู…ุงุนูŠุฉ
1148
+
1149
+ 288
1150
+ 00:22:43,190 --> 00:22:48,370
1151
+ ุฏุงุฎู„ ุงู„ู…ุฌุชู…ุน ููŠ
1152
+
1153
+ 289
1154
+ 00:22:48,370 --> 00:22:54,210
1155
+ ุนู†ุฏู†ุง ุฎู„ุตู†ุง ุจุฐู„ูƒ ูŠุนู†ูŠ ุงู„ุฃู‡ุฏุงู ุงู„ุชู„ู…ูˆูŠุฉ ู„ูƒู† ุจุฏู†ุง
1156
+
1157
+ 290
1158
+ 00:22:54,210 --> 00:22:58,490
1159
+ ู†ุนุฑู ุฏูˆุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุชุญู‚ูŠู‚ ุงู„ุฃู‡ุฏุงู
1160
+
1161
+ 291
1162
+ 00:22:58,490 --> 00:23:03,550
1163
+ ุงู„ุชู„ู…ูˆูŠุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ุงุญู†ุง ู‚ู„ู†ุงู‡ุง ู…ุง ุฏูˆุฑู‡ุง ููŠ ุชุญู‚ูŠู‚
1164
+
1165
+ 292
1166
+ 00:23:03,550 --> 00:23:09,070
1167
+ ู‡ุฐู‡ ุงู„ุฃู‡ุฏุงู ุงู„ุชู„ู…ูˆูŠุฉ ุงู„ู„ูŠ ุฐูƒุฑู†ุงู‡ุง ู…ุง ุฏูˆุฑ ุงู„ู…ู†ุธู…
1168
+
1169
+ 293
1170
+ 00:23:09,070 --> 00:23:09,710
1171
+ ุงู„ุงุฌุชู…ุงุนูŠ
1172
+
1173
+ 294
1174
+ 00:23:15,020 --> 00:23:19,740
1175
+ ู…ุน ุฏูˆุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุชุญู‚ูŠู‚ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ
1176
+
1177
+ 295
1178
+ 00:23:19,740 --> 00:23:26,500
1179
+ ุงู„ู„ูŠ ุงุญู†ุง ุฐูƒุฑู†ุงู‡ุง ู‚ุจู„ ู‚ู„ูŠู„ ูŠูƒูˆู† ุจุชุญู‚ูŠู‚ ุงู„ุชุนุงูˆู† ุจูŠู†
1180
+
1181
+ 296
1182
+ 00:23:26,500 --> 00:23:29,540
1183
+ ุฃู‚ุฑุงุถ ุงู„ู…ุฌุชู…ุน ูˆุชุณูŠู„ ุงู„ุชุญุงู„ู ุชุญู‚ูŠู‚ ู‡ุฐู‡ ุงู„ุฃู‡ุฏุงู
1184
+
1185
+ 297
1186
+ 00:23:29,540 --> 00:23:32,940
1187
+ ูˆุจู†ุนู… ุงู„ู‚ูŠุงุฏุงุช ุงู„ู…ุญู„ูŠุฉ ูˆุจุดุฌุน ุงู„ุฃู‚ุฑุงุถ ูˆุฌู…ุงุนุงุช ุนู„ู‰
1188
+
1189
+ 298
1190
+ 00:23:32,940 --> 00:23:36,540
1191
+ ุงู„ู…ุดุงุฑูƒุฉ ููŠ ุงู„ุนุงู„ู… ุชู…ุงู… ููŠ ุฃูŠ ู†ู‚ุงุท ูŠุนู†ูŠ ุงุญู†ุง ุฌุงู„ูŠู†
1192
+
1193
+ 299
1194
+ 00:23:36,540 --> 00:23:42,060
1195
+ ูˆู…ุนู„ู…ูŠู† ุนู„ูŠู‡ู… ูˆุงุถุญุฉ ุฌุฏุง ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนู…ู„ ุฏูˆุฑ ุงู„ู…ู†ุธู…
1196
+
1197
+ 300
1198
+ 00:23:42,060 --> 00:23:45,550
1199
+ ุงู„ุงุฌุชู…ุงุนูŠุงู„ู„ูŠ ู‡ูˆ ุชุญู‚ูŠู‚ ุงู„ุชุนุงูˆู† ู…ู† ุฃุฌู„ ุชุญู‚ูŠู‚
1200
+
1201
+ 301
1202
+ 00:23:45,550 --> 00:23:49,410
1203
+ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ู„ุงุจุฏ ุฃู† ูŠูˆุฌุฏ ุงู„ุชุนุงูˆู† ู…ุง ุจูŠู† ุฃูุฑุงุฏ
1204
+
1205
+ 302
1206
+ 00:23:49,410 --> 00:23:53,090
1207
+ ุงู„ู…ุฌุชู…ุน ูˆู…ุง ุจูŠู† ุงู„ู…ุคุณุณุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ู…ู†
1208
+
1209
+ 303
1210
+ 00:23:53,090 --> 00:23:57,290
1211
+ ุฃุฌู„ ุชุญู‚ูŠู‚ ุงู„ุชู†ู…ูŠุฉ ูˆุฃูŠุถุง ุงู„ู‚ูŠุงุฏุงุช ุงู„ู…ูˆุฌูˆุฏุฉุŒ ุฏุนู…
1212
+
1213
+ 304
1214
+ 00:23:57,290 --> 00:24:00,750
1215
+ ุงู„ู‚ูŠุงุฏุงุช ุงู„ู…ุญู„ูŠุฉ ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ุนู† ุทุฑูŠู‚
1216
+
1217
+ 305
1218
+ 00:24:00,750 --> 00:24:04,950
1219
+ ุงู„ุชุฏุฑูŠุจ ูˆุนู† ุทุฑูŠู‚ ุงู„ุชุนู„ูŠู… ูˆุนู† ุทุฑูŠู‚ ู…ุณุงุนุฏุชู‡ุง ุนู„ู‰
1220
+
1221
+ 306
1222
+ 00:24:04,950 --> 00:24:09,570
1223
+ ุงู„ู‚ูŠุงู… ุจุฏูˆุฑู‡ุง ููŠ ุงู„ู…ุฌุชู…ุน ูˆูƒุฐู„ูƒ ุนู† ุทุฑูŠู‚ ุชุดุฌูŠุน
1224
+
1225
+ 307
1226
+ 00:24:09,570 --> 00:24:13,340
1227
+ ุงู„ุฃูุฑุงุฏ ุจุงู„ุฌุงู…ุนุงุชุนู„ู‰ ุงู„ู…ุดุงุฑูƒุฉ ุงู„ูุนุงู„ุฉ ููŠ ุนู…ู„ูŠุฉ
1228
+
1229
+ 308
1230
+ 00:24:13,340 --> 00:24:17,420
1231
+ ุงู„ุชู†ู…ูŠุฉ ุงู„ู…ุญู„ูŠุฉ ุงู„ู…ุดุงุฑูƒุฉ ู„ุฃู† ู…ุดุงุฑูƒุฉ ุงู„ุฃูุฑุงุฏ
1232
+
1233
+ 309
1234
+ 00:24:17,420 --> 00:24:21,740
1235
+ ูˆุงู„ุฌุงู…ุนุงุช ูˆุงู„ู…ุคุณุณุงุช ู‡ูˆ ู…ุถู…ูˆุจ ู…ู† ุฃุฌู„ ุชุญู‚ูŠู‚ ุงู„ุชู†ู…ูŠุฉ
1236
+
1237
+ 310
1238
+ 00:24:21,740 --> 00:24:28,360
1239
+ ููŠ ุงู„ู…ุฌุชู…ุน ู†ุนู…
1240
+
1241
+ 311
1242
+ 00:24:28,360 --> 00:24:34,160
1243
+ ููŠ ุฏูˆุฑ ุฃูŠุถุง ู…ู† ุฏูˆุฑ ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุชุญู‚ูŠู‚ ุงู„ู„ูŠ
1244
+
1245
+ 312
1246
+ 00:24:34,160 --> 00:24:40,180
1247
+ ู‡ูˆ ุฃู‡ุฏุงู ุงู„ุชู†ู…ูŠุฉ ูƒุฐู„ูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ูŠุงู… ุจุจุนุถ ุงู„ุนู…ู„ูŠุงุช
1248
+
1249
+ 313
1250
+ 00:24:40,930 --> 00:24:44,950
1251
+ ูŠู‚ูˆู… ุจูŠู‡ุง ุงู„ู…ู†ุธู… ุงู„ุงุฌุชู…ุงุนูŠ ููŠ ุงู„ู…ุฌุชู…ุน ู…ุง ู‡ูŠ ู‡ุฐู‡
1252
+
1253
+ 314
1254
+ 00:24:44,950 --> 00:24:48,670
1255
+ ุงู„ุนู…ู„ูŠุงุช ุงู„ุชูŠ ูŠู‚ูˆู… ุจู‡ุง ุงู„ู…ู†ุธู… ู…ู† ุฃุฌู„ ุชุญู‚ูŠู‚ ุฃู‡ุฏุงู
1256
+
1257
+ 315
1258
+ 00:24:48,670 --> 00:24:52,110
1259
+ ุงู„ุชู„ู…ูŠุญ ุชูˆููŠุฑ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชูŠ ูŠุญุชุงุฌู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
1260
+
1261
+ 316
1262
+ 00:24:52,110 --> 00:24:56,690
1263
+ ุงูˆู„ ุดูŠุก ุชูˆููŠุฑ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ู„ูŠ ุจุญุชุงุฌู‡ุง ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน
1264
+
1265
+ 317
1266
+ 00:24:56,690 --> 00:25:02,230
1267
+ ุฃูˆ ู…ุคุณุณุงุช ุงู„ู…ุฌุชู…ุน ู…ุงุฐุง ุฃูŠุถุงุŸ ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ุจุณุจุจ
1268
+
1269
+ 318
1270
+ 00:25:02,230 --> 00:25:05,870
1271
+ ู…ู‡ุงุฑุงุชู‡ ุงู„ูู†ูŠุฉ ูˆุงู„ุงุฌุชู…ุงุนูŠุฉ ุจุฑุถู‡ ุจุณุจุจ ุงู„ู…ู‡ุงุฑุงุช
1272
+
1273
+ 319
1274
+ 00:25:05,870 --> 00:25:11,690
1275
+ ุงู„ุงุฌุชู…ุงุนูŠุฉ ูˆุงู„ูู†ูŠุฉ ู…ุซู„ุง ุงู„ุฅุฏุงุฑุฉูŠุชุนู„ู…ูˆุง ุงู„ุณู„ูŠุจ
1276
+
1277
+ 320
1278
+ 00:25:11,690 --> 00:25:17,350
1279
+ ุงู„ุฅุฏุงุฑุฉ ูˆุงู„ุชุฎุทูŠุท ูŠุนู†ูŠ ุฅุฏุงุฑุฉ ุงู„ู…ุคุณุณุงุช ุงู„ุงุฌุชู…ุงุนูŠุฉ
1280
+
1281
+ 321
1282
+ 00:25:17,350 --> 00:25:21,770
1283
+ ูƒูŠู ูŠุฏุฑูˆู‡ุง ูˆู‡ูƒุฐุง ุฃูŠุถุง ู…ุนุฑูุฉ ู‚ุฑุงุกุฉ ุงู„ุขุฎุฑูŠู†
1284
+
1285
+ 322
1286
+ 00:25:21,770 --> 00:25:26,630
1287
+ ูˆุงุชุฌุงู‡ุงุชู‡ู… ูƒูŠู ูŠุชุนุฑููˆุง ุนู„ูŠู‡ุง ุญุชู‰ ุชุนูŠู†ู‡ู… ุนู„ู‰ ู…ุนุงู„ุฌุฉ
1288
+
1289
+ 323
1290
+ 00:25:26,630 --> 00:25:29,750
1291
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ุฃูˆ ุงู„ุชุนุฑู ุนู„ู‰
1292
+
1293
+ 324
1294
+ 00:25:29,750 --> 00:25:33,010
1295
+ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุฌุชู…ุน ู…ู† ุฃุฌู„ ุชุญู‚ูŠู‚ ุงู„ุชู†ู…ูŠุฉ
1296
+
1297
+ 325
1298
+ 00:25:33,010 --> 00:25:37,520
1299
+ ู‡ุฐุง ูƒู„ ู…ู† ุฏูˆุฑ ุงู„ุจู†ุธู…ุฉ ุงู„ุงุฌุชู…ุงุนูŠ ุงู„ู„ูŠ ู‡ูŠุชูˆููŠุฑ
1300
+
1301
+ 326
1302
+ 00:25:37,520 --> 00:25:41,300
1303
+ ุงู„ู…ุนู„ูˆู…ุงุช ูˆุฅูƒุณุงุจ ุงู„ู…ู‡ุงุฑุงุช ุงู„ูู†ูŠุฉ ูˆุงู„ุงุฌุชู…ุงุนูŠุฉ
1304
+
1305
+ 327
1306
+ 00:25:41,300 --> 00:25:46,340
1307
+ ู„ุฃูุฑุงุฏ ุงู„ู…ุฌุชู…ุน ู†ูƒูˆู†
1308
+
1309
+ 328
1310
+ 00:25:46,340 --> 00:25:50,940
1311
+ ุจุฐู„ูƒ ุงู†ุชู‡ูŠู†ุง ู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ููŠ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1312
+
1313
+ 329
1314
+ 00:25:50,940 --> 00:25:54,280
1315
+ ุงู„ู…ุฌุชู…ุน ุฃูˆ ุงู„ุฃู‡ุฏุงู ุงู„ู„ูŠ ุจุชุณุนู‰ ุฅู„ูŠู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1316
+
1317
+ 330
1318
+ 00:25:54,280 --> 00:25:58,140
1319
+ ุงู„ู…ุฌุชู…ุน ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ููŠ ุนู†ุฏู†ุง ุฃู‡ุฏุงู
1320
+
1321
+ 331
1322
+ 00:25:58,140 --> 00:26:02,820
1323
+ ุฃุฎุฑู‰ ุจุชุณุนู‰ ุฅู„ูŠู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ูˆู‡ูŠ ุงู„ุฃู‡ุฏุงู
1324
+
1325
+ 332
1326
+ 00:26:02,820 --> 00:26:11,990
1327
+ ุงู„ู…ุชุตู„ุฉ ุจุงู„ุฏูุงุน ุฃูˆ ุงู„ู…ุทุงู„ุจุฉุงู„ุฏูุงุน ุฃูˆ ุงู„ู…ุทุงู„ุจุฉ ู…ุง
1328
+
1329
+ 333
1330
+ 00:26:11,990 --> 00:26:16,890
1331
+ ู‡ูŠ ุงู„ุฃู‡ุฏุงู ุงู„ุชูŠ ุชุณุนู‰ ุฅู„ู‰ ุชุญู‚ูŠู‚ู‡ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู…
1332
+
1333
+ 334
1334
+ 00:26:16,890 --> 00:26:23,870
1335
+ ุงู„ู…ุฌุชู…ุน ู…ู† ุญูŠุซ ุงู„ุฏูุงุน ุฃูˆ ุงู„ู…ุทุงู„ุจุฉุŸ ุชู†ุธูŠู… ุงู„ู†ุงุณ ุนู„ู‰
1336
+
1337
+ 335
1338
+ 00:26:23,870 --> 00:26:27,850
1339
+ ู…ุณุชูˆู‰ ู…ุญุฏุฏุŒ ุดุฏุฑุฉุŒ ุนู„ู‰ ุนุธู… ุงู„ู…ุฌุชู…ุนุŸ ุฅุฐู† ุฃูˆู„ ุดูŠุก
1340
+
1341
+ 336
1342
+ 00:26:27,850 --> 00:26:32,870
1343
+ ุชู†ุธูŠู… ุงู„ู†ุงุณุงุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุน ู…ุฌุชู…ุนุงุช ู…ุญู„ูŠุฉุŒ ุฅุฐุง
1344
+
1345
+ 337
1346
+ 00:26:32,870 --> 00:26:35,690
1347
+ ุชุนุงู…ู„ู†ุง ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠุŒ ุฅุฐุง ู†ุชู†ุธูŠู… ุงู„ู†ุงุณ ุนู„ู‰
1348
+
1349
+ 338
1350
+ 00:26:35,690 --> 00:26:40,770
1351
+ ู…ุณุชูˆู‰ ุฅูŠู‡ุŸ ุงู„ู…ุญู„ูŠุŒ ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠุŒ ู„ูŠู‡
1352
+
1353
+ 339
1354
+ 00:26:40,770 --> 00:26:44,710
1355
+ ุญุชู‰ ุฅู†ู‡ู… ุนู„ู‰ ู…ุณุชูˆู‰ ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ูŠุนุฑุถูˆุง ู…ุดูƒู„ุชู‡ู…
1356
+
1357
+ 340
1358
+ 00:26:44,710 --> 00:26:49,330
1359
+ ูˆุญุงุฌุงุชู‡ู… ูˆู…ุทุงู„ุจู‡ู…ุŸ ูู„ุฐู„ูƒ ุงุญู†ุง ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
1360
+
1361
+ 341
1362
+ 00:26:49,330 --> 00:26:53,660
1363
+ ุงุณู…ู‡ุง ุฅูŠู‡ุŸcommunity organization ูŠุนู†ูŠ ุงู„ุชุนุงู…ู„
1364
+
1365
+ 342
1366
+ 00:26:53,660 --> 00:26:57,660
1367
+ ู„ุฃุณุงุณ ุงู„ุทุฑูŠู‚ุฉ ู…ุน ู…ูŠู†ุŸ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ูุญุชู‰
1368
+
1369
+ 343
1370
+ 00:26:57,660 --> 00:27:02,160
1371
+ ู†ุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ู„ุงุจุฏ ุชูƒูˆู† ู„ุฏูŠู†ุง ุงู„ู…ุนู„ูˆู…ุงุช
1372
+
1373
+ 344
1374
+ 00:27:02,160 --> 00:27:07,180
1375
+ ุงู„ูƒุงููŠุฉ ุนู† ุงู„ู…ุฌุชู…ุน ุงู„ู…ุญู„ูŠ ุงู„ุฐูŠ ู†ุชุนุงู…ู„ ู…ุนู‡ ูู„ุงุจุฏ
1376
+
1377
+ 345
1378
+ 00:27:07,180 --> 00:27:11,840
1379
+ ู‡ู†ุง ุญุชู‰ ู†ุณุงุนุฏ ุงู„ู†ุงุณ ุนู„ู‰ ุงู„ู…ุทุงู„ุจุฉ ู„ุงุจุฏ ู†ุชุนุฑู ุนู„ู‰
1380
+
1381
+ 346
1382
+ 00:27:11,840 --> 00:27:16,940
1383
+ ู…ุทุงู„ุจ ู‡ุฐุง ุงู„ู…ุฌุชู…ุน ู…ุง ู‡ูŠ ุญุงุฌุงุชู‡ ุนู„ู‰ ูƒู„ ุดูŠุก ู„ุฏู‰ ู‡ุฐุง
1384
+
1385
+ 347
1386
+ 00:27:16,940 --> 00:27:22,560
1387
+ ุงู„ู…ุฌุชู…ุนูŠุนู†ูŠ ู†ุชุนุฑู ุนู„ู‰ ุงู„ู†ุงุณ ูˆ ุฅูŠุด ุญุงุฌุงุช ุงู„ู†ุงุณ ูˆ
1388
+
1389
+ 348
1390
+ 00:27:22,560 --> 00:27:26,020
1391
+ ุฅูŠุด ู…ุดูƒู„ุชู‡ู… ูˆ ุฅูŠุด ู…ูˆุงุฑุฏู‡ู… ูˆ ุฅูŠุด ุฅู…ูƒุงู†ูŠุงุชู‡ู… ู‡ุฐู‡
1392
+
1393
+ 349
1394
+ 00:27:26,020 --> 00:27:29,580
1395
+ ูƒู„ู‡ุง ุนู†ุฏู…ุง ู†ุชุนุงู…ู„ ู…ุน ู‡ุฐุง ุงู„ู…ุฌุชู…ุน ู„ุงุจุฏ ุฃู† ู†ุนุฑู ููŠ
1396
+
1397
+ 350
1398
+ 00:27:29,580 --> 00:27:34,220
1399
+ ู‡ุฐุง ุงู„ู…ุฌุชู…ุน ุญุชู‰ ู†ุณุชุทูŠุน ุงู„ุชุนุงู…ู„ ู…ุนู‡ ูˆ ุชู„ุจูŠุฉ ุทู„ุจุงุชู‡
1400
+
1401
+ 351
1402
+ 00:27:34,220 --> 00:27:40,000
1403
+ ูุฃูˆู„ ุดูŠุก ุจู†ุธู… ุงู„ู†ุงุณ ุชู†ุธูŠู… ุงู„ู†ุงุณ ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ
1404
+
1405
+ 352
1406
+ 00:27:40,000 --> 00:27:44,320
1407
+ ู„ู‚ุฏุฑุฉ ุนู„ู‰ ุนุฑุถ ู…ุทุงู„ุจู‡ู… ุญุชู‰ ูŠุณุงุนุฏู‡ู… ุนู„ู‰ ูƒูŠููŠุฉ ุนุฑุถ
1408
+
1409
+ 353
1410
+ 00:27:44,320 --> 00:27:48,940
1411
+ ุงู„ู…ุทุงู„ุจ ุงู„ุชูŠ ูŠุทู„ุจูˆู†ู‡ุงุงู„ู„ูŠ ู‡ูŠ ุนู† ุทุฑูŠู‚ ุญุงุฌุงุชู‡ู… ุฃูˆ
1412
+
1413
+ 354
1414
+ 00:27:48,940 --> 00:27:53,160
1415
+ ู…ุดูƒู„ุงุชู‡ู… ูˆูƒูŠู ูŠุชุตู„ูˆู† ุจุงู„ุฌู‡ุงุช ุงู„ู…ุณุคูˆู„ุฉ ููŠ ุงู„ู…ุฌุชู…ุน
1416
+
1417
+ 355
1418
+ 00:27:53,160 --> 00:27:57,540
1419
+ ุงู„ู†ุงุญูŠุฉ ุงู„ุซุงู†ูŠุฉ ุจุนุฏ ู…ุง ุงุชุนุฑู ุนู„ู‰ ุงู„ู†ุงุณ ููŠ ุงู„ู…ุฌุชู…ุน
1420
+
1421
+ 356
1422
+ 00:27:57,540 --> 00:28:02,540
1423
+ ูˆุณุงุนุฏู‡ู… ุนู„ู‰ ู…ุนุฑูุฉ ู…ุทุงู„ุจู‡ู… ุฎุทูˆุฉ ุซุงู†ูŠุฉ ุชุฃุซูŠุฑ ุนู„ู‰
1424
+
1425
+ 357
1426
+ 00:28:02,540 --> 00:28:04,800
1427
+ ุงู„ู…ุณุชุฎุฏู…ูŠู† ู‚ุฑุงุฑุงุช ุนู† ุงู„ู…ุณุชุฎุฏู… ุงู„ู„ูŠ ุญุงู„ูŠ ุฃูˆ
1428
+
1429
+ 358
1430
+ 00:28:04,800 --> 00:28:08,680
1431
+ ุงู„ุฅุชุตุงู„ูŠ ุจุงู„ุถุจุท ุจุนุฏ ุฐู„ูƒ ุจุฃุซุฑ ู…ู† ุงู„ู„ูŠ ุจูŠุฏู‡ ุงู„ู‚ุฑุงุฑ
1432
+
1433
+ 359
1434
+ 00:28:08,680 --> 00:28:14,840
1435
+ ุงู„ู‚ุงุฏุฉ ุงู„ู…ุณุคูˆู„ูŠู† ููŠ ุงู„ู…ุฌุชู…ุน ู‡ุฏูˆู„ุฉ ุฃู†ุง ุจุชุตู„ ุจูŠู‡ู…
1436
+
1437
+ 360
1438
+ 00:28:14,840 --> 00:28:19,980
1439
+ ุจุณุงุนุฏู‡ู… ุนู„ู‰ ูƒูŠููŠุฉ ุงู„ุงุชุตุงู„ ุจูŠู‡ู…ููŠ ู‡ุคู„ุงุก ููŠ ูŠุฏู‡ู…
1440
+
1441
+ 361
1442
+ 00:28:19,980 --> 00:28:23,600
1443
+ ุงู„ู‚ุฑุงุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชุฃุซูŠุฑ ููŠ ุงู„ู‚ุฑุงุฑุงุช ุณูˆุงุก ููŠ ุชุนุฏูŠู„
1444
+
1445
+ 362
1446
+ 00:28:23,600 --> 00:28:28,880
1447
+ ู‡ุฐู‡ ุงู„ู‚ุฑุงุฑุงุช ุฃูˆ ุงุณุชุตุฏุงุฑ ู‚ุฑุงุฑุงุช ุฌุฏูŠุฏุฉ ู„ู‡ุง ุฏูˆุฑ ููŠ
1448
+
1449
+ 363
1450
+ 00:28:28,880 --> 00:28:34,120
1451
+ ูŠุนู†ูŠ ู…ุนุฑูุฉ ู…ุทุงู„ุจ ุงู„ู†ุงุณ ูˆุชุญู‚ูŠู‚ ู…ุทุงู„ุจ ุงู„ู†ุงุณ ูู„ุฐู„ูƒ ู…ู†
1452
+
1453
+ 364
1454
+ 00:28:34,120 --> 00:28:39,960
1455
+ ู‡ู†ุง ุงู„ุชุฃุซูŠุฑ ุนู„ู‰ ู…ุชู‚ุฏูŠ ุงู„ู‚ุฑุงุฑุงุช ูู…ู† ุฏูˆุฑ ุงู„ู…ุทุงู„ุจุฉ ููŠ
1456
+
1457
+ 365
1458
+ 00:28:39,960 --> 00:28:44,500
1459
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุชู†ุธูŠู… ุงู„ู†ุงุณ ูˆุฃูŠุถุง ุงู„ุชุฃุซูŠุฑ ุนู„ู‰
1460
+
1461
+ 366
1462
+ 00:28:44,500 --> 00:28:49,280
1463
+ ู…ุชู‚ุฏูŠุงู„ู‚ุฑุงุฑุงุช ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ ุฅุฐุง ู„ู… ูŠูƒู†ูˆุง ุนู„ู‰
1464
+
1465
+ 367
1466
+ 00:28:49,280 --> 00:28:52,020
1467
+ ุงู„ู…ุณุชูˆู‰ ุงู„ู…ุญู„ูŠ ุฑุจู…ุง ูŠูƒูˆู† ุทู„ุจู‡ู… ุนู„ู‰ ุงู„ู…ุณุชูˆู‰ ุงู„ู‚ูˆู…ูŠ
1468
+
1469
+ 368
1470
+ 00:28:52,020 --> 00:28:56,800
1471
+ ุฃูŠุถุง ู†ู„ุฌุฃ ู„ู„ู…ุณุชูˆู‰ ุงู„ู‚ูˆู…ูŠ ู„ุชูˆููŠุฑ ุฎุฏู…ุงุช ุฃูˆ ุจุฑุงู…ุฌ
1472
+
1473
+ 369
1474
+ 00:28:56,800 --> 00:29:00,780
1475
+ ู„ู…ูˆุงุฌู‡ุฉ ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ุจุนุงู†ูŠ ู…ู†ู‡ุง ุณูƒุงู† ุงู„ู…ุฌุชู…ุน
1476
+
1477
+ 370
1478
+ 00:29:00,780 --> 00:29:07,840
1479
+ ูˆุงุถุญุŸ ูˆุงุถุญ ููŠ ุนุฏู†ุง ุฃูŠุถุง ู…ู† ุงู„ุฃู‡ุฏุงู ุงู„ู…ุชู…ุซู„ุฉ ุจูŠู‡
1480
+
1481
+ 371
1482
+ 00:29:07,840 --> 00:29:08,560
1483
+ ุงู„ุฏูุงุน
1484
+
1485
+ 372
1486
+ 00:29:11,250 --> 00:29:14,350
1487
+ ุงู„ุงุณุชุนุงู†ุฉ ุจูˆุณุงุฆู„ ุงู„ุฅุนู„ุงู… ุดุฑููˆุด ููŠ ู†ุธุฑ ุงู„ู…ูˆุงุทู‚ูŠู†
1488
+
1489
+ 373
1490
+ 00:29:14,350 --> 00:29:18,450
1491
+ ุฅุฐุง ุฅุญู†ุง ุฌุงูˆุจู†ุง ุงู„ู…ุดูƒู„ุงุช ุงู„ู„ูŠ ููŠู‡ุง ุนุงู„ู…ู†ุง ู†ุนู…
1492
+
1493
+ 374
1494
+ 00:29:18,450 --> 00:29:23,390
1495
+ ูˆุณุงุฆู„ ุงู„ุฅุนู„ุงู… ู…ู‡ู…ุฉ ุฌุฏุง ู„ุฃู†ู‡ ู„ุงุจุฏ ุฃู† ู†ุณุชุนูŠู† ุจูˆุณุงุฆู„
1496
+
1497
+ 375
1498
+ 00:29:23,390 --> 00:29:28,490
1499
+ ุงู„ุฅุนู„ุงู… ุฅุฐุงุนุฉ ุตุญุงูุฉ ุชู„ูุงุฒ ู„ุนุฑุถ ู…ุดูƒู„ุงุช ุงู„ุฃูุฑุงุฏ
1500
+
1501
+ 376
1502
+ 00:29:28,490 --> 00:29:33,090
1503
+ ุงู„ู…ุฌุชู…ุน ู„ุนุฑุถ ู…ุดูƒู„ุงุช ุงู„ู…ูˆุงุทู†ูŠู† ููŠ ุงู„ู…ุฌุชู…ุน ู„ุฃู†ู‡ ูƒูŠู
1504
+
1505
+ 377
1506
+ 00:29:33,090 --> 00:29:39,050
1507
+ ุณูŠุนู„ู† ุจู‡ุฐู‡ ุงู„ู…ุดูƒู„ุงุช ุงู„ู…ุณุฆูˆู„ูƒูŠู ุณูŠุนู„ู…ุŸ ุนู† ุทุฑูŠู‚ ู‡ุฐู‡
1508
+
1509
+ 378
1510
+ 00:29:39,050 --> 00:29:43,490
1511
+ ุงู„ูˆุณุงุฆู„ ุงู„ุฌู…ุงู‡ูŠุฑูŠุฉ ุฅุฏุงุนุฉุŒ ุชู„ูุงุฒุŒ ุตุญุงูุฉ ูˆุณุงุฆู„
1512
+
1513
+ 379
1514
+ 00:29:43,490 --> 00:29:49,270
1515
+ ุฌู…ุงู‡ูŠุฑูŠุฉ ูุงู„ู…ูˆุงุทู†ูŠู† ุจูŠุนุจุฑูˆุง ุนู† ุฑุฃูŠู‡ู… ูˆุงุชุฌุงู‡ุงุชู‡ู… ุนู†
1516
+
1517
+ 380
1518
+ 00:29:49,270 --> 00:29:53,910
1519
+ ู…ุดูƒู„ุชู‡ู… ุงู„ุชูŠ ูŠุนุงู†ูˆู† ู…ู†ู‡ุง ูุจูˆุตู„ูˆุง ู‡ู†ุง ุตูˆุชู‡ู… ุฅู„ู‰ ู…ู†ุŸ
1520
+
1521
+ 381
1522
+ 00:29:53,910 --> 00:30:00,020
1523
+ ุฅู„ู‰ ุงู„ู…ุณุฆูˆู„ ููŠ ู‡ุฐู‡ ุงู„ูˆุณุงุฆู„ ุงู„ุฌู…ุงู‡ูŠุฑูŠุฉูˆุฅุฐุง ูˆุตู„
1524
+
1525
+ 382
1526
+ 00:30:00,020 --> 00:30:04,460
1527
+ ุตูˆุชู‡ู… ููŠ ุงู„ู…ุณุงุก ูŠุนู†ูŠ ู„ู„ู…ุณุฆูˆู„ ู‡ู†ุง ุงู„ู…ุณุฆูˆู„ ู„ุงุจุฏ ุฃู†
1528
+
1529
+ 383
1530
+ 00:30:04,460 --> 00:30:09,040
1531
+ ูŠููƒุฑ ููŠ ูƒูŠููŠุฉ ุฅุชู‚ุงุฏ ุงู„ู‚ุฑุงุฑ ู„ู…ุณุงุนุฏุฉ ุงู„ู…ูˆุงุทู†ูŠู† ุนู„ู‰
1532
+
1533
+ 384
1534
+ 00:30:09,040 --> 00:30:15,000
1535
+ ุนู„ุงุฌ ู…ุดูƒู„ุชู‡ ูุงู„ุงุณุชุนุงู†ุฉ ุจูˆุณุงุฆู„ ุงู„ุฅุนู„ุงู† ู‡ุฐู‡ ุฃูŠุถุง
1536
+
1537
+ 385
1538
+ 00:30:15,000 --> 00:30:19,640
1539
+ ูŠุนู†ูŠ ู…ู† ุถู…ู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฃู‡ุฏุงู ุงู„ู…ุชู…ุซู„ุฉ ุจุงู„ุฏูุงุน ู†ุนู…
1540
+
1541
+ 386
1542
+ 00:30:19,640 --> 00:30:23,180
1543
+ ูŠุง ุจู†ุช ู‚ูˆู„ูŠ ุงุณุชุฎุฏุงู… ุชุดุฑูŠุนุงุช ุงุฌุชู…ุงุนูŠุฉ ุฌุฏูŠุฏุฉ ุฃูˆ ุชุนุฏุฑ
1544
+
1545
+ 387
1546
+ 00:30:23,180 --> 00:30:26,960
1547
+ ุจุนุถ ุงู„ุชุดุฑูŠุนุงุช ุจุงู„ุถุจุท ุฃุญูŠุงู†ุง ุฃุญูŠุงู†ุง ููŠ ุชุดุฑูŠุนุงุช
1548
+
1549
+ 388
1550
+ 00:30:26,960 --> 00:30:31,200
1551
+ ู‚ุงุฆู…ุฉ ููŠ ุงู„ู…ุฌุชู…ุนู„ูƒู† ุฃุญูŠุงู†ุงู‹ ู„ุง ุชุตู„ุญ ู‡ุฐู‡ ุงู„ุชุดุฑูŠุนุงุช
1552
+
1553
+ 389
1554
+ 00:30:31,200 --> 00:30:35,500
1555
+ ุงู„ู…ูˆุฌูˆุฏุฉ ู„ุชู„ุจูŠุท ู…ุทุงู„ุจ ุณูƒุงู† ุงู„ู…ุฌุชู…ุนุŒ ู…ุงุฐุง ู†ุญุฏุซ
1556
+
1557
+ 390
1558
+ 00:30:35,500 --> 00:30:39,420
1559
+ ููŠู‡ุงุŸ ู†ุคุซุฑ ุนู„ู‰ ุงู„ู…ุณุคูˆู„ูŠู† ุจุชุนุฏูŠู„ ู‡ุฐู‡ ุงู„ู‚ุฑุงุฑุงุชุŒ ู…ู†
1560
+
1561
+ 391
1562
+ 00:30:39,420 --> 00:30:43,620
1563
+ ุจูŠุฏู‡ู… ุงู„ู‚ุฑุงุฑุงุชุŒ ูŠุคุซุฑ ุนู„ู‰ ุชุนุฏูŠู„ ู‡ุฐู‡ ุงู„ู‚ุฑุงุฑุงุช ุฃูˆ
1564
+
1565
+ 392
1566
+ 00:30:43,620 --> 00:30:49,440
1567
+ ุฃุญูŠุงู†ุงู‹ ู…ู…ูƒู† ู„ุง ูŠูˆุฌุฏ ู‚ุฑุงุฑุŒ ูˆุฅู† ูˆุฌุฏ ุงู„ู‚ุฑุงุฑ ู„ุตุงู„ุญููŠ
1568
+
1569
+ 393
1570
+ 00:30:49,440 --> 00:30:52,620
1571
+ ู‚ุงุช ุงู„ู…ุฌุชู…ุน ูู…ู…ูƒู† ุฃู† ู†ุคุซุฑ ุนู„ู‰ ู…ุชุฎุฏูŠุฉ ุงู„ู‚ุฑุงุฑ
1572
+
1573
+ 394
1574
+ 00:30:52,620 --> 00:30:57,660
1575
+ ุจุงุณุชุตุฏุงุฑ ู‚ุฑุงุฑุงุช ุฌุฏูŠุฏุฉ ูˆุชุดุฑูŠุนุงุช ุฌุฏูŠุฏุฉ ู„ู…ุณุงุนุฏุฉ
1576
+
1577
+ 395
1578
+ 00:30:57,660 --> 00:31:02,020
1579
+ ุงู„ู…ูˆุงุทู†ูŠู† ุนู„ู‰ ุชู„ุจูŠุฉ ุญุงุฌุงุชู‡ู… ูˆู…ุนุงู„ุฌุฉ ู…ุดูƒู„ุชู‡ู… ู…ู†
1580
+
1581
+ 396
1582
+ 00:31:02,020 --> 00:31:06,260
1583
+ ุฎู„ุงู„ ุงุณุชุตุฏุงุฑ ู‡ุฐู‡ ุงู„ู‚ุฑุงุฑุงุช ุงู„ุฌุฏูŠุฏุฉ ุฃูˆ ุงู„ุชุดุฑูŠุนุงุช
1584
+
1585
+ 397
1586
+ 00:31:06,260 --> 00:31:10,880
1587
+ ุงู„ุฌุฏูŠุฏุฉ ู‡ุฐุง ุฃูŠุถุง ู…ู† ุฏูˆุฑ ุงู„ู…ุทุงู„ุจุฉ ูˆู‡ุฐู‡ ู…ุง ุชู‚ูˆู… ุจูŠู‡
1588
+
1589
+ 398
1590
+ 00:31:10,880 --> 00:31:16,220
1591
+ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุฃูŠุถุง ูˆุงุถุญุŸ
1592
+
1593
+ 399
1594
+ 00:31:16,220 --> 00:31:18,780
1595
+ ู…ุงุฐุง ุฃูŠุถุงุŸ
1596
+
1597
+ 400
1598
+ 00:31:20,300 --> 00:31:24,080
1599
+ ู…ุณุงุนุฏุฉ ุงู„ู…ูˆุงุทู†ูŠู† ุงู„ู…ุชุฃุซุฑูŠู† ุจุงู„ู…ุดูƒู„ุฉ ูˆุงู„ุฐูŠู† ู‡ู… ุฃูƒุซุฑ
1600
+
1601
+ 401
1602
+ 00:31:24,080 --> 00:31:27,280
1603
+ ูุนุงู„ูŠุฉ ุฅุฒุงุก ุถุฑูˆุฑุฉ ู…ูˆุงุฌู‡ุชู‡ุง ููŠ ุงุณุชู‚ุทุงุน ุจุบูŠุฑู‡ู… ู…ู†
1604
+
1605
+ 402
1606
+ 00:31:27,280 --> 00:31:31,740
1607
+ ุงู„ู…ูˆุงุทู†ูŠู† ู„ุชู†ุธูŠู… ุฃู†ูุณู‡ู…ุŸ ุฃู‡ ุจุงู„ุถุจุท ูŠุนู†ูŠ ู…ุณุงุนุฏุช ู…ูŠู†
1608
+
1609
+ 403
1610
+ 00:31:31,740 --> 00:31:35,060
1611
+ ู‡ู… ุงู„ู…ุชุฃุซุฑูŠู† ุจุงู„ู…ุดูƒู„ุฉ ุฃูƒุซุฑ ูˆ ุฃู‚ูˆู… ุฃุณุงุนุฏู‡ู… ุทุฑูŠู‚ุฉ
1612
+
1613
+ 404
1614
+ 00:31:35,060 --> 00:31:39,160
1615
+ ุชู†ุธูŠู… ุงู„ู…ุดูƒู„ุฉ ุงู„ุณู…ุงุนุฉ ุชุณุงุนุฏ ุงู„ู…ุชุฃุซุฑูŠู† ุจุงู„ู…ุดูƒู„ุฉ ุนู„ู‰
1616
+
1617
+ 405
1618
+ 00:31:39,160 --> 00:31:45,060
1619
+ ุชู†ุธูŠู… ุฃู†ูุณู‡ู… ูˆูƒูŠููŠุฉ ุงู„ุงุชุตุงู„ ุจุงู„ู…ุณุคูˆู„ูŠู† ู…ู† ุฃุฌู„
1620
+
1621
+ 406
1622
+ 00:31:45,060 --> 00:31:49,630
1623
+ ู…ุนุงู„ุฌุฉ ู…ุดูƒู„ุชู‡ู…ูุงู†ุง ุฏูˆุฑูŠ ุฃูˆ ุฏูˆุฑ ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน
1624
+
1625
+ 407
1626
+ 00:31:49,630 --> 00:31:53,870
1627
+ ู‡ูˆ ู…ุณุงุนุฏุฉ ู‡ุคู„ุงุก ุงู„ู†ุงุณ ุงู„ู…ุชุฃุซุฑูŠู† ุจุงู„ู…ุดูƒู„ุงุช ุนู„ู‰
1628
+
1629
+ 408
1630
+ 00:31:53,870 --> 00:31:59,550
1631
+ ุชู†ุธูŠู… ุฃู†ูุณู‡ู… ูˆู…ุณุงุนุฏุชูŠ ููŠ ูƒูŠููŠุฉ ุงู„ูˆุตูˆู„ ู„ุญู„ ู…ุดูƒู„ุชู‡ู…
1632
+
1633
+ 409
1634
+ 00:31:59,550 --> 00:32:05,930
1635
+ ู…ู† ุฎู„ุงู„ ุงู„ู…ุณุคูˆู„ูŠู† ููŠ ุงู„ู…ุฌุชู…ุน ู†ูƒูˆู†
1636
+
1637
+ 410
1638
+ 00:32:05,930 --> 00:32:14,310
1639
+ ุจุฐู„ูƒ ูŠุนู†ูŠ ุงู†ุชู‡ูŠู†ุง ู…ู† ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุน ุนู†ุฏ
1640
+
1641
+ 411
1642
+ 00:32:14,310 --> 00:32:19,490
1643
+ ุงู„ุฏูƒุชูˆุฑ ุฑุดุงุฏ ุนุจุฏุงู„ู„ุทูŠูุงู„ุฃู‡ุฏุงู ุงู„ุชู†ุณูŠู‚ูŠุฉ ูˆุงู„ู‡ุฏุงู
1644
+
1645
+ 412
1646
+ 00:32:19,490 --> 00:32:24,430
1647
+ ุงู„ุชุฎุทูŠุทูŠุฉ ูˆุงู„ู‡ุฏุงู ุงู„ุชู†ู…ูˆูŠุฉ ูˆุฃู‡ุฏุงู ุงู„ุฏูุงุน ุฃูˆ
1648
+
1649
+ 413
1650
+ 00:32:24,430 --> 00:32:29,250
1651
+ ุงู„ู…ุทุงู„ุจุฉ ููŠ ุฃูŠ ุณุคุงู„ ูŠุง ุจู†ุงุชุŸ ููŠ ุฃูŠ ุณุคุงู„ ุฅู„ู‰ ู‡ู†ุงุŸ
1652
+
1653
+ 414
1654
+ 00:32:29,250 --> 00:32:33,650
1655
+ ูŠุนู†ูŠ ููŠ ู‡ุฐุง ุงู„ู…ูˆุถูˆุนุŒ ููŠ ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุŸ
1656
+
1657
+ 415
1658
+ 00:32:33,650 --> 00:32:42,250
1659
+ ุทูŠุจ ุฅู„ู‰ ู‡ู†ุง ู†ู†ู‡ูŠ ู‡ุฐู‡ ุงู„ู…ุญุงุถุฑุฉ ุจุงู„ู†ุณุจุฉ ู„ุฃู‡ุฏุงู ุทุฑูŠู‚ุฉ
1660
+
1661
+ 416
1662
+ 00:32:42,250 --> 00:32:46,600
1663
+ ุชู†ุธูŠู… ุงู„ู…ุฌุชู…ุนุนู„ู‰ ุฃู…ู„ ุงู„ู„ู‚ุงุก ุจูƒู†ุง ุงู† ุดุงุก ุงู„ู„ู‡ ููŠ
1664
+
1665
+ 417
1666
+ 00:32:46,600 --> 00:32:52,660
1667
+ ู…ูˆุถูˆุน ุฌุฏูŠุฏ ูˆ ููŠ ู…ุญุงุถุฑุฉ ุฌุฏูŠุฏุฉ ููŠ ุงู„ุฃุณุจูˆุน ุงู„ู‚ุงุฏู… ุฅู„ู‰
1668
+
1669
+ 418
1670
+ 00:32:52,660 --> 00:32:57,420
1671
+ ุฃู† ู†ู„ุชู‚ูŠ ุจูƒู†ุง ู„ูƒู„ ู…ู†ูŠ ูƒู„ ุชุญูŠุท ูˆ ุชู‚ุฏูŠุฑ ูˆุงู„ุณู„ุงู…
1672
+
1673
+ 419
1674
+ 00:32:57,420 --> 00:32:59,880
1675
+ ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1676
+
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/037nYOZIi9o_raw.srt ADDED
@@ -0,0 +1,1968 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:07,730 --> 00:00:12,390
3
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู…ุงุถูŠุฉ ุจุนุฏ ู…ุง ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ู€alcohols
4
+
5
+ 2
6
+ 00:00:12,390 --> 00:00:18,230
7
+ ูˆุงู„ุชุณู…ูŠุชู‡ู… ูˆุงู„ู€hydrogen bonding ูˆุงู„ุฎูˆุงุต ุจุฏุฃู†ุง ููŠ
8
+
9
+ 3
10
+ 00:00:18,230 --> 00:00:21,270
11
+ ู…ูˆุถูˆุน ูƒุซูŠุฑ ู…ู‡ู… ููŠ ู…ูˆุถูˆุน ุงู„ู€alcohols ุงู„ู„ูŠ ู‡ูˆ
12
+
13
+ 4
14
+ 00:00:21,270 --> 00:00:26,590
15
+ ุงู„ู…ูˆุถูˆุน ุงู„ุญุงู…ุถูŠุฉ ุงู„ู€acidity ุทุจุนุง ุญูƒูŠู†ุง ุงุญู†ุง ุดุบู„ุฉ
16
+
17
+ 5
18
+ 00:00:26,590 --> 00:00:33,430
19
+ ุงู† ุงู„ู€acidity ุญุณุจ ุชุนุฑูŠู ู„ูˆุฑูŠ ุจุฑูˆู†ุณุชูŠุฏ ุงู„ู€acid
20
+
21
+ 6
22
+ 00:00:33,430 --> 00:00:39,450
23
+ ุจุฑูˆุชูˆู† ุฏูˆู†ุฑ ุจุฏูˆ ูŠูู‚ุฏ ุจุฑูˆุชูˆู†ูุจูŠุตู ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ
24
+
25
+ 7
26
+ 00:00:39,450 --> 00:00:44,990
27
+ ุงู„ุงูŠูˆู† ุงู„ุณุงู„ุจ ูˆุงู„ุจุฑูˆุชูˆู† ูˆุงุถุญุŸ ุงู„ุงู† ุงู„ู…ุดูƒู„ุฉ ุงู†
28
+
29
+ 8
30
+ 00:00:44,990 --> 00:00:51,870
31
+ ุงู„ุญู…ุถ ูŠูƒูˆู† ู‚ูˆูŠ ููŠ ู‚ุฏุงุด ุงู„ุงูŠูˆู† ุงู„ุณุงู„ุจ ูŠูƒูˆู† ุซุงุจุชูŠุนู†ูŠ
32
+
33
+ 9
34
+ 00:00:51,870 --> 00:00:55,570
35
+ ุงู„ู…ุดูƒู„ุฉ ู…ุด ููŠ ุงู„ุจุฑูˆุชูˆู†ุŒ ู„ุฃู†ู‡ ู„ูˆ ุฃุฎุฏู†ุง ุนุดุฑ ุฃุญู…ุงุถุŒ
36
+
37
+ 10
38
+ 00:00:55,570 --> 00:00:58,630
39
+ ุงู„ุนุดุฑ ุฃุญู…ุงุถ ู‡ูŠููƒุฑูˆุง ู†ูุณ ุงู„ุจุฑูˆุชูˆู†ุŒ ู†ูุณ ุงู„ุจุฑูˆุชูˆู†ุŒ ุจุณ
40
+
41
+ 11
42
+ 00:00:58,630 --> 00:01:04,810
43
+ ููŠ ูƒู„ ุญุงู„ุฉ ู‡ูŠุธู„ ุฌุฒุก ุณุงู„ุจ ู…ุฎุชู„ู ุนู† ุงู„ุฌุฒุก ุงู„ุชุงู†ูŠุŒ
44
+
45
+ 12
46
+ 00:01:04,810 --> 00:01:08,950
47
+ ูˆุงุถุญุŸ ูุจู†ุงุก ุนู„ู‰ ุฐู„ูƒุŒ ู„ู…ุง ุฃู†ุง ุจู‚ุงุฑู† ู‚ูˆุฉ ุงู„ุฃุญู…ุงุถุŒ
48
+
49
+ 13
50
+ 00:01:08,950 --> 00:01:14,000
51
+ ู…ุงุจุทู„ุนุด ุนู„ู‰ ุงู„ุจุฑูˆุชูˆู†ุฃู†ุง ุจุชุทู„ุน ุนู„ู‰ ุงู„ุฌุฒุก ุงู„ุณุงู„ุจ ู‡ู„
52
+
53
+ 14
54
+ 00:01:14,000 --> 00:01:18,680
55
+ ูŠุง ุชุฑู‰ ุงู„ุฌุฒุก ุงู„ุณุงู„ุจ ุงู„ู„ูŠ ุนู†ุฏู‰ ู‚ุงุฏุฑ ูŠุชุญู…ู„ ุงู„ุดุญู†ุฉ
56
+
57
+ 15
58
+ 00:01:18,680 --> 00:01:23,700
59
+ ูŠุญู…ู„ู‡ุง ูˆู„ุง ู„ุฃ ูŠุนู†ูŠ ู…ุซู„ุง ู„ูˆ ุจุฏู†ุง ุจุณ ูƒู…ุฑุงุฌุนุฉ ุจุณูŠุทุฉ
60
+
61
+ 16
62
+ 00:01:23,700 --> 00:01:31,080
63
+ ู‡ุชุฐูƒุฑูƒูˆุง ููŠ hbr ูˆ hcl ุงู„ุชุงู†ูŠู† ุจูŠุนู…ู„ูˆุงุงู„ู€ H Plus
64
+
65
+ 17
66
+ 00:01:31,080 --> 00:01:35,720
67
+ ู„ูƒู† ู‡ู†ุง ู…ุง ุณูŠุญุฏุซ ู„ุฏูŠ PR minus ู‡ู†ุง ู…ุง ุณูŠุญุฏุซ ู„ุฏูŠ CL
68
+
69
+ 18
70
+ 00:01:35,720 --> 00:01:39,460
71
+ minus ุฅุฐุง ู…ุดูƒู„ุชูŠ ุฃู†ุง ุงู„ู€ PR minus ูˆุงู„ู€ CL minus
72
+
73
+ 19
74
+ 00:01:39,460 --> 00:01:45,000
75
+ ู…ูŠู† ุฃู‚ุฏุฑ ููŠู‡ู… ุนู„ู‰ ุญู…ู„ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญุฏุฏ
76
+
77
+ 20
78
+ 00:01:45,000 --> 00:01:48,640
79
+ ู‚ูˆุฉ ุงู„ุญุงู…ุถ ุทุจุนุง ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ู„ุงุญุธูˆุง ุฃู† ุงู„ู€
80
+
81
+ 21
82
+ 00:01:48,640 --> 00:01:54,380
83
+ HPR ุฃู‚ูˆู‰ ูˆู‚ุงู„ูˆุง ุงู„ุณุจุจ ุฃู† ุญุฌู… ุฐุฑุฉ ุงู„ุจุฑูˆู… ุฃูƒุจุฑ ู…ู†
84
+
85
+ 22
86
+ 00:01:54,380 --> 00:01:58,790
87
+ ุญุฌู… ุฐุฑุฉ ุงู„ูƒู„ูˆุฑ ูุงู„ุญุฌู… ุงู„ูƒุจูŠุฑุจู‚ุฏุฑ ูŠุญู…ู„ ุฃูƒุชุฑ ู…ู†
88
+
89
+ 23
90
+ 00:01:58,790 --> 00:02:03,650
91
+ ุงู„ุตุบูŠุฑุŒ ุงู„ูˆู„ุฏ ุงู„ูƒุจูŠุฑ ุจุญู…ู„ ุซู‚ู„ ุฃูƒุชุฑ ู…ู† ุฅูŠุดุŸ ู…ู†
92
+
93
+ 24
94
+ 00:02:03,650 --> 00:02:08,850
95
+ ุงู„ุทูู„ ุงู„ุตุบูŠุฑุŒ ุงู„ุขู† ู‡ู†ุง ู†ูุณ ุงู„ุฃุดูŠุŒ ู„ูˆ ุจุฏูŠ ุฃู‚ุงุฑู†
96
+
97
+ 25
98
+ 00:02:08,850 --> 00:02:15,210
99
+ ู…ุซู„ุงุŒ ู‡ุงูŠ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุฉ ุงู„ goals ู…ู‚ุงุฑู†ูŠู† ุจุงู„ู…ูŠุฉุŒ HO,
100
+
101
+ 26
102
+ 00:02:15,330 --> 00:02:20,930
103
+ H, HO ู…ุซู„ HO ู…ุซู„ HO attributedุŒ ุฒูŠ ู…ุง ุจุชู„ุงุญุธูˆุง ูƒู„
104
+
105
+ 27
106
+ 00:02:20,930 --> 00:02:25,500
107
+ ุงู„ุฌุฒุก ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ู‡ู†ุง ู‡ูˆ ุงู„ู„ูŠ ุจุฏู‡ ูŠู…ุซู„ ุฅูŠุดุงู„ุฌุฒุก
108
+
109
+ 28
110
+ 00:02:25,500 --> 00:02:30,840
111
+ ุงู„ุณุงู„ุจ ูˆู‡ุฐู‡ ุณุชุธู‡ุฑ ุนู„ู‰ ุดูƒู„ ุงู„ู€ H ุจู„ุณ ุทุจุนุง ู‡ูˆ ุงู„ูƒุญูˆู„
112
+
113
+ 29
114
+ 00:02:30,840 --> 00:02:35,520
115
+ ู„ูŠุณ ุงูŠูˆู†ูŠ ุนุดุงู† ุงู„ูƒู„ุงู… ูŠูƒูˆู† ูˆุงุถุญ ุงู„ูƒุญูˆู„ ู„ูŠุณ ุงูŠูˆู†ูŠูƒ
116
+
117
+ 30
118
+ 00:02:35,520 --> 00:02:39,960
119
+ ูƒูˆู…ุจุงูˆู†ุฏ ูŠุนู†ูŠ ู…ุงุญุฏุด ูŠุชุฎูŠู„ ุงู† ุงู„ูƒุญูˆู„ ุฒูŠ NA ุจู„ุณ CL
120
+
121
+ 31
122
+ 00:02:39,960 --> 00:02:44,180
123
+ ู…ุงูŠู†ูˆุณ ู„ุฃ ุงู„ูƒุญูˆู„ ุนุจุงุฑุฉ ุนู† ู…ูˆู„ูŠูƒูŠูˆู„ุงุฑ ูƒูˆู…ุจุงูˆู†ุฏ ู„ูƒู†
124
+
125
+ 32
126
+ 00:02:44,180 --> 00:02:50,200
127
+ ู„ู…ุง ุจุฏู‡ ูŠุชุนุงู…ู„ ูƒุงุณุฏ ุจูŠูู‚ุฏ ุงู„ู€ H ุจู„ุณ ูˆุงุถุญุŸ ูˆุจูŠุธู‡ุฑ
128
+
129
+ 33
130
+ 00:02:50,200 --> 00:02:55,820
131
+ ุนู†ุฏ ุงู„ุฌุฒุก ุงู„ุณุงู„ุจูู‚ูˆุฉ ุงู„ุฃุญู…ุฏ ู…ุฑุชุจุทุฉ ุจุฅูŠุดุŸ ุจู‡ุฐุง
132
+
133
+ 34
134
+ 00:02:55,820 --> 00:03:00,500
135
+ ุงู„ุฌุฒุก ุงู„ุณุงู„ุจ ุญุชู‰ ู†ูุณ ุงู„ุฃุดู‡ุฑ ู„ูˆ ุจุฏูƒู… ุงุชู‚ุงุฑู†ูˆุง ุงู„
136
+
137
+ 35
138
+ 00:03:00,500 --> 00:03:05,180
139
+ filons ูƒู„ ู‡ุฐุง ูŠู…ุซู„ ุงู„ู€ H plus ูƒู„ ุฏูˆู„ ูŠู…ุซู„ูˆุง ุงู„ุฌุฒุก
140
+
141
+ 36
142
+ 00:03:05,180 --> 00:03:08,820
143
+ ุงู„ุณุงู„ุจ ูˆูŠู† ููŠู‡ ู‚ุฏุฑุฉ ุนู„ู‰ ุญู…ู„ ุงู„ุฌุฒุก ุงู„ุณุงู„ุจ ุจูŠูƒูˆู†
144
+
145
+ 37
146
+ 00:03:08,820 --> 00:03:16,140
147
+ ุงู„ู…ุฑูƒุจ ุฃู‚ูˆู‰ ุฅุฐุง ุจุฏูŠ ุฃุฌูŠ ุฃุทู„ุน ุจูˆุถูˆุญุจู„ุงุญุธ ุฅู†ู‡
148
+
149
+ 38
150
+ 00:03:16,140 --> 00:03:21,420
151
+ ุงู„ู…ู†ุทู‚ุฉ ุงู„ุฃูˆู„ู‰ ุชู‚ุฑูŠุจุงู‹ ูƒู†ุง ุชู…ุซู„ ุฃุญู…ุงุฑ ุถุนูŠูุฉ ุงู„ู…ูŠู‘ู‡
152
+
153
+ 39
154
+ 00:03:21,420 --> 00:03:25,600
155
+ ุฒูŠ ุงู„ู€ Methanol ู†ูˆุนุง ู…ุง ุฒูŠ ุงู„ู€ Ethanol ุดูˆูŠุฉ ุตุบูŠุฑุฉ
156
+
157
+ 40
158
+ 00:03:25,600 --> 00:03:29,300
159
+ ุจุชูุฑู‚ ููŠ ุงู„ู€ tertiary-butanol ู…ุงููŠุด ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ูˆูŠู†
160
+
161
+ 41
162
+ 00:03:29,300 --> 00:03:33,500
163
+ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ุชุบูŠุฑ ูˆ ุงู„ุญุงู…ุถ ุจูŠุจุฏุฃ ูŠุตูŠุฑ ุฃู‚ูˆู‰ ูƒุชูŠุฑ
164
+
165
+ 42
166
+ 00:03:33,500 --> 00:03:40,760
167
+ ู‡ู†ุทู„ุน ุนู„ู‰ ู‡ุฐุง ุงู„ุญุงู…ุถ CH3CH2OH
168
+
169
+ 43
170
+ 00:03:40,760 --> 00:03:47,450
171
+ Trifluoroethanol ุจู†ุณู…ูŠู‡ุฅูŠุชุงู„ูˆู† ู„ูƒู† ู…ู‚ุฏู„ ููŠู‡ ุชู„ุช
172
+
173
+ 44
174
+ 00:03:47,450 --> 00:03:53,410
175
+ ุฐุฑุงุช ู‡ูŠุฏุฑูˆุฌูŠู† ุจุฅูŠุด ุจ floor ู„ูˆ ุจุฏูŠ ุฃุฑุณู… ู‡ุฐุง ู„ุญุงู„ู‡
176
+
177
+ 45
178
+ 00:03:53,410 --> 00:03:59,490
179
+ ุฃุฑุณู… ุงู„ุงูŠูˆู† ุงู„ุณุงู„ุจ ุชุจุนู‡ ู‡ุงูŠ CH2 O minus ุจุนุฏูŠู† C
180
+
181
+ 46
182
+ 00:03:59,490 --> 00:04:07,090
183
+ floor floor floor ุฅูŠุด ุงู„ู„ูŠ ุฎู„ู‘ู‰ ู‡ุฐุง ูŠุตูŠุฑ ุญุงู…ุถ ู‚ูˆูŠุŸ
184
+
185
+ 47
186
+ 00:04:08,150 --> 00:04:12,170
187
+ ุฅู†ู‡ ุงู„ floor electron with drawing group ูˆุงุถุญ ุงู„
188
+
189
+ 48
190
+ 00:04:12,170 --> 00:04:16,150
191
+ electronegativity ุชุจุนุชู‡ุง ุนุงู„ูŠุฉ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุตุญ ุฃู†ุง
192
+
193
+ 49
194
+ 00:04:16,150 --> 00:04:23,190
195
+ ุนู†ุฏูŠ ู‡ู†ุง ููŠ ู…ุดูƒู„ุฉ ู„ูƒู† ููŠ ุนู†ุฏูŠ ุณุงุญุจ ู„ู‡ุฐู‡ ุงู„ู…ุดูƒู„ุฉ ููŠ
196
+
197
+ 50
198
+ 00:04:23,190 --> 00:04:26,470
199
+ ุนู†ุฏูŠ ุดุญู†ุฉ ุณุงู„ุจุฉ ููŠ ู…ุฌู…ูˆุนุงุช ุจุชุณุญุจ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ
200
+
201
+ 51
202
+ 00:04:26,470 --> 00:04:31,270
203
+ ุฅุฐุง ู…ุงุถู„ุชุด ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ ู…ุฑูƒุฒุฉ ู‡ู†ุงูˆุงุถุญ ู‡ุฐุง ุงู„
204
+
205
+ 52
206
+ 00:04:31,270 --> 00:04:34,890
207
+ effect ู‡ูˆ ู…ุณุงุนุฏุฉ ููŠ ุญู…ูŠู„ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ ู‡ูˆ ุงู„ู„ูŠ
208
+
209
+ 53
210
+ 00:04:34,890 --> 00:04:40,750
211
+ ุณู…ู†ุงู‡ ุฅูŠุด inductive effect ุฅุฐุง ุฅุญู†ุง ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„
212
+
213
+ 54
214
+ 00:04:40,750 --> 00:04:47,190
215
+ ุงู„ุขู† ุฃู† ุงู„ู€ trifluoroethanol is more acidic than
216
+
217
+ 55
218
+ 00:04:47,190 --> 00:04:53,700
219
+ ethanol due to inductive effectู‡ูŠุฌูŠ ุดูŠุก ูŠุญู…ู„ ููŠู‡ุงุŒ
220
+
221
+ 56
222
+ 00:04:53,700 --> 00:04:58,140
223
+ ูŠุณุงุนุฏ ููŠ ุญู…ู„ู‡ุงุŒ ูŠุณุญุจ ู‡ุฐู‡ ุงู„ุดุญู†ุฉ ู‡ุฐุง ุนุจุงุฑุฉ ุนู†
224
+
225
+ 57
226
+ 00:04:58,140 --> 00:05:02,860
227
+ inductive effect ุทุจุนุง ุฃูƒูŠุฏ ุจูŠุตูŠุฑ ูˆุงุถุญ ุนู†ุฏูƒู… ุชู…ุงู…ุง
228
+
229
+ 58
230
+ 00:05:02,860 --> 00:05:06,360
231
+ ู„ูˆ ูƒู†ุชูˆุง ุชุนู…ู„ูˆุง ู…ู‚ุงุฑู†ุงุช ู„ูˆ ูƒู†ุชูˆุง ุจุฏุฃูˆุง ุชู‚ุงุฑู†
232
+
233
+ 59
234
+ 00:05:06,360 --> 00:05:09,700
235
+ ุงู„ู…ุฑูƒุจ ููŠ floor ูˆุงุญุฏุฉ ูˆ ุชู„ุงุชุฉ floorุŒ ุงู†ู‡ more
236
+
237
+ 60
238
+ 00:05:09,700 --> 00:05:14,720
239
+ acidic ุงู„ุชู„ุงุชุฉ floor ู„ูˆ ูƒู†ุชูˆุง ุจุฏุฃูˆุง ุชู‚ุงุฑู† ุงู„ู…ุฑูƒุจ
240
+
241
+ 61
242
+ 00:05:14,720 --> 00:05:19,240
243
+ ููŠ ุชู„ุงุชุฉ floor ุฃูˆ ุงู„ู…ุฑูƒุจ ุงู„ู„ูŠ ููŠู‡ ุชู„ุงุชุฉ chlorine
244
+
245
+ 62
246
+ 00:05:20,740 --> 00:05:23,720
247
+ ุงู„ู€ floor ุฃุนู„ู‰ ุงู„ู€ floor ุงู„ู€ electronegativity ู„ู‡
248
+
249
+ 63
250
+ 00:05:23,720 --> 00:05:30,120
251
+ ุฃุนู„ู‰ ูƒู„ ู‡ุฐุง ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ inductive effect ุงู„ุฃู†
252
+
253
+ 64
254
+ 00:05:30,120 --> 00:05:36,580
255
+ ู„ุงุญุธูˆุง ู…ุนูŠ ุงู„ inductive effect ุฒูŠ ู…ุง ู…ู…ูƒู† ูŠูƒูˆู†
256
+
257
+ 65
258
+ 00:05:36,580 --> 00:05:45,690
259
+ ู…ุณุงุนุฏุฉ ู…ู…ูƒู† ุฃู†ู‡ ูŠูƒูˆู†ุงู„ูˆ ุฃุซุฑ ุนูƒุณูŠ ูˆุงุถุญุŸ ูŠุนู†ูŠ ู…ุธุจูˆุท
260
+
261
+ 66
262
+ 00:05:45,690 --> 00:05:49,810
263
+ ุฅุญู†ุง ุจู†ุฌูŠุจ ู†ุงุณ ูŠุณุงุนุฏูˆู†ุง ูˆู…ู…ูƒู† ูŠุณุงุนุฏูˆู†ุง ุจุณ ููŠ ู†ุงุณ
264
+
265
+ 67
266
+ 00:05:49,810 --> 00:05:55,610
267
+ ุจู†ุฌูŠุจู‡ู… ูŠุณุงุนุฏูˆุง ูˆูŠุญู„ูˆุง ุงู„ู…ุดูƒู„ุฉ ุจุฒูŠุฏูˆุง .. ุฅูŠุด ุจูŠู‚ูˆู„
268
+
269
+ 68
270
+ 00:05:55,610 --> 00:06:03,170
271
+ ุงู„ู…ุซู„ุŸ ุจุฒูŠุฏูˆุง ุงู„ุทูŠู†ุฉ ุจุงู„ู„ุฃ ุฃูˆ ุฌูŠุจู†ุงูƒ ูŠุง ุนุจุฏ ุงู„ู…ุนูŠู†
272
+
273
+ 69
274
+ 00:06:03,170 --> 00:06:09,810
275
+ ุงุชุนูŠู† ู„ุฌู†ุงูƒุŸ ุฅุฐุง ู…ู…ูƒู† ู‡ุฐุง ุงู„ุฃุซุฑ ุฅุฐุง ู…ุฑูƒุจ ูŠูƒูˆู† ุฃุซุฑ
276
+
277
+ 70
278
+ 00:06:09,810 --> 00:06:15,930
279
+ ุนูƒุณูŠู„ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ู‡ู†ุง ู…ุด ุจุชุณุญุจ ุจุชุนุทูŠู‡
280
+
281
+ 71
282
+ 00:06:15,930 --> 00:06:22,110
283
+ ูˆุงุถุญุŸ ู„ูˆ ูƒุงู†ุช ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ู‡ู†ุง ู…ุด ู…ุฌู…ูˆุนุฉ ุณุงุญุจุฉ
284
+
285
+ 72
286
+ 00:06:22,110 --> 00:06:27,570
287
+ ู„ู„ุฅู„ูƒุชุฑูˆู†ุงุช ุจุชุฎูู ุงู„ู…ุดูƒู„ุฉ ู…ุฌู…ูˆุนุฉ ู…ุนุทูŠุฉ ู„ู„ุฅู„ูƒุชุฑูˆู†ุงุช
288
+
289
+ 73
290
+ 00:06:27,570 --> 00:06:32,330
291
+ ุจุชุฒูŠุฏ ุงู„ู…ุดูƒู„ุฉ ู„ูˆ ุจุฏู†ุง ู†ุชุฎูŠู„ ูˆูŠู† ุงู„ูƒู„ุงู… ู…ู…ูƒู† ูŠุตูŠุฑ
292
+
293
+ 74
294
+ 00:06:32,330 --> 00:06:37,070
295
+ ู„ูˆ ุดูŠู„ู†ุง ู‡ุฐุง ุงู„ floor ูˆ ุญุทูŠู†ุง ุจุฏุงู„ู‡ CH3
296
+
297
+ 75
298
+ 00:06:39,400 --> 00:06:43,600
299
+ ุงู„ู€ method ุบุงู„ุจุง ุจุชุนู…ู„ ูƒู€ electron donating group
300
+
301
+ 76
302
+ 00:06:43,600 --> 00:06:51,040
303
+ CH3 ุงู„ุขู† ู‡ู†ุง ุงู„ู€ CH3 ุฅูŠุด ุงู„ู„ูŠ ุจุชุนู…ู„ู‡ุŸ ุจุชุนุทูŠ
304
+
305
+ 77
306
+ 00:06:51,040 --> 00:06:54,500
307
+ ุฅู„ูƒุชุฑูˆู†ุงุช ู…ุด ุจุชุฒูŠุฏ ุฅู„ูƒุชุฑูˆู†ุงุช ุฅุฐุง ุฒุงุฏุช ุงู„ุดุญู†ุฉ
308
+
309
+ 78
310
+ 00:06:54,500 --> 00:07:00,000
311
+ ุงู„ุณุงู„ุจุฉ ุนู†ุฏู‡ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ุฐุง ุงู„ู…ุฑูƒุจ ุงู„ู„ูŠ ุฒูŠ ู‡ุฐุง
312
+
313
+ 79
314
+ 00:07:00,000 --> 00:07:04,260
315
+ ุฃูˆ ู„ูˆ ูƒุงู†ุช ุงู„ู€ OH ู…ุจุงุดุฑุฉ ู‡ู†ุง ูŠุนู†ูŠ ุฅุญู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง
316
+
317
+ 80
318
+ 00:07:04,260 --> 00:07:08,810
319
+ ุงู„ู…ุฑูƒุจ ุงู„ู„ูŠ ููŠู‡ ุงู„ู€ OHู…ูˆุฌูˆุฏุฉ ู‡ูŠูƒ ู…ุจุงุดุฑุฉ ูŠุนู†ูŠ ุงู„ O
320
+
321
+ 81
322
+ 00:07:08,810 --> 00:07:13,770
323
+ minus ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชูŠุฑุชุดุงุฑูŠุจูŠูˆุชุงู†ูˆู„
324
+
325
+ 82
326
+ 00:07:13,770 --> 00:07:17,810
327
+ ุงุชุทู„ุนูˆุง ุนู„ูŠู‡ ู‡ุฐุง ุงู„ู„ูŠ ุญุงู…ู„ ุชู„ุงุชุฉ CH3 ุงูŠุด ุตุงุฑ ู„ู„
328
+
329
+ 83
330
+ 00:07:17,810 --> 00:07:26,850
331
+ BKA ุชุจุนุชู‡ ุตุงุฑุช ุชู…ุงู†ุชุนุด ุฒุงุฏุช ุงู„ BKA ู‚ู„ุช ุงู„ acidity
332
+
333
+ 84
334
+ 00:07:26,850 --> 00:07:30,650
335
+ ุงู„ุขู† ู‡ู†ุง ู„ูŠุด ู‚ู„ุช ุงู„ acidityุŸ ุจุฑุถู‡ ุจุณุจุจ ุงู„
336
+
337
+ 85
338
+ 00:07:30,650 --> 00:07:33,650
339
+ inductive effect ู‡ูˆ inductive effect ุณูˆุงุก ุงู„
340
+
341
+ 86
342
+ 00:07:33,650 --> 00:07:40,730
343
+ inductive effect ุฃุฎุฏ ุฃูˆ ุงุนุทุงุกุงู„ุฅู„ูƒุชุฑูˆู†ุงุช ูˆ ุจุงุนุชู…ุงุฏ
344
+
345
+ 87
346
+ 00:07:40,730 --> 00:07:44,850
347
+ ๏ฟฝ๏ฟฝู„ู‰ ุฅูŠุด ุจูŠุตูŠุฑ ููŠ ุงู„ู…ุญุตู„ุฉ ู„ู„ุดุญู†ุฉ ุจูŠูƒูˆู† ุงู„ุฌูˆุงุจ ุชุจุนู†ุง
348
+
349
+ 88
350
+ 00:07:44,850 --> 00:07:50,970
351
+ ูˆุงู„ู„ู‡ ุฅุฐุง ุงู„ุดุญู†ุฉ ุฌู„ุช ุจูŠูƒูˆู† ุงู„ูˆุถุน ู…ู…ุชุงุฒ ุนู†ุฏู†ุง ุจุชุฒูŠุฏ
352
+
353
+ 89
354
+ 00:07:50,970 --> 00:07:55,620
355
+ ุงู„ุญู…ุถูŠุฉ ุฅุฐุง ุงู„ุดุญู†ุฉ ุฒุงุฏุชุจู‚ู„ ุงู„ุซุจุงุช .. ู‚ู„ ุงู„ุซุจุงุช
356
+
357
+ 90
358
+ 00:07:55,620 --> 00:08:00,220
359
+ ุจุชู‚ู„ ุฅูŠุดุŸ ุงู„ุญุงู…ุถูŠุฉ .. ูˆุงุถุญุŸ ูู‡ุฐุง ู‡ูˆ inductive
360
+
361
+ 91
362
+ 00:08:00,220 --> 00:08:04,920
363
+ effect ุงู„ุญู‚ูŠู‚ุฉ ุงู„ู…ูุฑูˆุถ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฑุถู‡ ูŠุฐูƒุฑูƒูˆุง
364
+
365
+ 92
366
+ 00:08:04,920 --> 00:08:09,700
367
+ ุจุดุบู„ุฉ ุจุณ ุฎู„ูŠู†ุง ู†ู„ุฎุตู‡ ุดูˆูŠุฉ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒู… ุดุญู†ุฉ
368
+
369
+ 93
370
+ 00:08:09,700 --> 00:08:14,760
371
+ ุณุงู„ุจุฉ .. ุดุญู†ุฉ ุณุงู„ุจุฉ ูˆู†ูŠุฌูŠ ู†ู‚ูˆู„ ุฅู†ู‡ ุญุทูŠู†ุง electron
372
+
373
+ 94
374
+ 00:08:14,760 --> 00:08:17,860
375
+ with a drawing effect .. electron with a drawing
376
+
377
+ 95
378
+ 00:08:17,860 --> 00:08:23,780
379
+ group ุดูˆ ุจุชุนู…ู„ ููŠ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉุŸุฃูู‡ู…ูˆุง ู…ุนุงูŠุง ู‡ุงูŠ
380
+
381
+ 96
382
+ 00:08:23,780 --> 00:08:28,880
383
+ ุจุฏู‡ ุฃู„ุฎุตู„ูƒูˆุง ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูŠ negative charge
384
+
385
+ 97
386
+ 00:08:28,880 --> 00:08:34,520
387
+ ุดุญู†ุฉ ุณุงู„ุจุฉ ูŠุง ุจูŠูƒูˆู† ุนู†ุฏูŠ electron with drawing
388
+
389
+ 98
390
+ 00:08:34,520 --> 00:08:39,640
391
+ group ูŠุนู†ูŠ ู…ุฌู…ูˆุนุฉ ุจุชุณุญุจ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช ูŠุง ู…ุฌู…ูˆุนุฉ
392
+
393
+ 99
394
+ 00:08:39,640 --> 00:08:45,800
395
+ ุจุชุนุทูŠ ุฅู„ูƒุชุฑูˆู†ุงุช donating group ุงู„ุขู† ุฅุฐุง ููŠ ุนู†ุฏูŠ
396
+
397
+ 100
398
+ 00:08:45,800 --> 00:08:50,020
399
+ electron with drawing group ุดูˆ ุจุฏู‡ ูŠุตูŠุฑ ู„ู„ุดุญู†ุฉุŸ
400
+
401
+ 101
402
+ 00:08:50,020 --> 00:08:51,060
403
+ ุจุฏู‡ุง
404
+
405
+ 102
406
+ 00:08:58,160 --> 00:09:04,360
407
+ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ ุจุฏุฃ ุชุฒูŠุฏ ุทุจุนุง ุงู†ุชูˆุง ุนุงุฑููŠู† ุงู† ุงู„
408
+
409
+ 103
410
+ 00:09:04,360 --> 00:09:10,680
411
+ stability ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ ู…ุน ุงู„ุดุญู†ุฉ
412
+
413
+ 104
414
+ 00:09:10,680 --> 00:09:15,340
415
+ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ูˆ ุงู†ุง ู‡ู†ุง ุจุญูƒูŠ the charge decrease
416
+
417
+ 105
418
+ 00:09:15,340 --> 00:09:20,260
419
+ ุงุฐุง ุจุฏุฃุช ุงู‚ูˆู„ ู‡ู†ุง ุงู„ stability ุดูˆ ุจุฏุฃ ุงู‚ูˆู„ ุนู„ู‰ ุงู„
420
+
421
+ 106
422
+ 00:09:20,260 --> 00:09:21,360
423
+ stability increase
424
+
425
+ 107
426
+ 00:09:24,600 --> 00:09:33,100
427
+ loss of stability ู‡ู†ุง ุชุฒูŠุฏ ู‡ู†ุง ุชุชุฎู„ุต ุฅุฐุง ุงู„ุดุญู†ุฉ
428
+
429
+ 108
430
+ 00:09:33,100 --> 00:09:36,240
431
+ ุงู„ุณุงู„ุจุฉ ู„ู…ุง ุจู†ุญุท ุฌู†ุจู‡ุง electron withdrawal group
432
+
433
+ 109
434
+ 00:09:36,240 --> 00:09:40,420
435
+ ุจุฒูŠุฏ ุซุงุจุชู‡ุง ู„ู…ุง ู†ุญุท ุฌู†ุจู‡ุง electron donating group
436
+
437
+ 110
438
+ 00:09:40,420 --> 00:09:46,720
439
+ ุจุฒูŠุฏ ุชุฑูƒูŠุฒู‡ุง ุจู‚ู„ ุซุงุจุชู‡ุง ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุชุนู„ู‚ ุจุฅูŠุดุŸ
440
+
441
+ 111
442
+ 00:09:46,720 --> 00:09:49,180
443
+ ุจุดุญู†ุฉ ุณุงู„ุจุฉ ู…ุซู„ ู‡ุฐุง ุงู„ู…ุซุงู„
444
+
445
+ 112
446
+ 00:09:51,690 --> 00:09:56,850
447
+ ุฅุญู†ุง ุนุดุงู† ู†ุฃูƒุฏ ุงู„ูƒู„ุงู… ู…ุงุฑ ุนู„ูŠูƒู… ุดุบู„ุฉ ุดุจูŠู‡ุฉ ู„ูƒู†
448
+
449
+ 113
450
+ 00:09:56,850 --> 00:10:02,970
451
+ ุดุญู†ุฉ ู…ูˆุฌุจุฉ ุชูƒูˆู† ุฃุณู„ูˆุจ ูˆู‚ุช ูˆูŠู† ู…ุงุฑุช ุนู„ูŠู‘ ุงู„ุดุญู†ุฉ
452
+
453
+ 114
454
+ 00:10:02,970 --> 00:10:07,990
455
+ ุงู„ู…ูˆุฌุจุฉ ุฅุฐุง ุจุชุฐูƒุฑูˆุงุŸ ููŠ ุงู„ carbocation ููŠ ุงู„
456
+
457
+ 115
458
+ 00:10:07,990 --> 00:10:11,830
459
+ carbocation ุงู„ tertiary ู‡ุชู„ุงุญุธูˆุง ุฃู† ุงู„ุชุฃุซูŠุฑ ู‡ู†ุง
460
+
461
+ 116
462
+ 00:10:11,830 --> 00:10:17,730
463
+ ู‡ูŠุตูŠุฑ ุนูƒุณูŠ ูŠุนู†ูŠ ู„ู…ุง ุชุงุฎุฏูˆุง ู‡ุฐุง CH3
464
+
465
+ 117
466
+ 00:10:18,750 --> 00:10:24,550
467
+ CH3 CH3 CH3
468
+
469
+ 118
470
+ 00:10:24,550 --> 00:10:28,030
471
+ CH3
472
+
473
+ 119
474
+ 00:10:28,030 --> 00:10:28,370
475
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
476
+
477
+ 120
478
+ 00:10:28,370 --> 00:10:31,050
479
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
480
+
481
+ 121
482
+ 00:10:31,050 --> 00:10:31,770
483
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
484
+
485
+ 122
486
+ 00:10:31,770 --> 00:10:31,770
487
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
488
+
489
+ 123
490
+ 00:10:31,770 --> 00:10:31,870
491
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
492
+
493
+ 124
494
+ 00:10:31,870 --> 00:10:33,050
495
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
496
+
497
+ 125
498
+ 00:10:33,050 --> 00:10:33,050
499
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
500
+
501
+ 126
502
+ 00:10:33,050 --> 00:10:34,070
503
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
504
+
505
+ 127
506
+ 00:10:34,070 --> 00:10:40,790
507
+ CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3 CH3
508
+
509
+ 128
510
+ 00:10:40,790 --> 00:10:44,870
511
+ CH3
512
+
513
+ 129
514
+ 00:10:44,870 --> 00:10:52,700
515
+ CH3ู„ุงุญุธูˆุง ู‡ู†ุง ุนู†ุฏูŠ ุดุญู†ุฉ ู…ูˆุฌุจุฉ ู„ู…ุง ุฃุณุญุจ ู…ู†ู‡ุง
516
+
517
+ 130
518
+ 00:10:52,700 --> 00:10:58,900
519
+ ุฅู„ูƒุชุฑูˆู†ุงุชุŒ ุดูˆ ุจูŠุตูŠุฑ ู„ู„ู…ูˆุฌุจุŸ ุจุฒูŠุฏุŒ ุจุฒูŠุฏ ู„ุฃู† ุฃู†ุง
520
+
521
+ 131
522
+ 00:10:58,900 --> 00:11:02,200
523
+ ู‚ุงุนุฏ ุจุดูŠู„ ุฅู„ูƒุชุฑูˆู†ุงุชุŒ ูƒู„ ู…ุง ุจุดูŠู„ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุชุŒ ูƒู„ ู…ุง
524
+
525
+ 132
526
+ 00:11:02,200 --> 00:11:05,900
527
+ ุจุดูŠู„ ุงู„ุณู„ู…ุŒ ุดูˆ ุจุนู…ู„ ููŠ ุงู„ู…ูˆุฌุจุŸ ุจุฒูŠุฏุŒ ุฅุฐุง ุงู„ุฅู„ูƒุชุฑูˆู†
528
+
529
+ 133
530
+ 00:11:05,900 --> 00:11:13,260
531
+ ูˆ ุงู„ู€drawing groups they increase the charge ุจู†ุงุก
532
+
533
+ 134
534
+ 00:11:13,260 --> 00:11:18,040
535
+ ุนู„ู‰ ุฐู„ูƒุŒ ุดูˆ ุจูŠุนู…ู„ูˆุง ููŠ ุงู„ stabilityุŸู…ุจุงุดุฑุฉ ู„ู…ุง
536
+
537
+ 135
538
+ 00:11:18,040 --> 00:11:23,640
539
+ ุจุฏุงุฌูŠ ุฃู‚ูˆู„ stability ุจุชุตูŠุฑ decrease ูู„ูˆ ุนู†ุฏูŠ
540
+
541
+ 136
542
+ 00:11:23,640 --> 00:11:30,060
543
+ carbon ูƒุชุงูŠู† ูˆ ุฌู†ุจู‡ ู…ุซู„ุง ู‡ู†ุง ุชู„ุช ุฐุฑุงุช ูƒู„ูˆุฑ ุฃูˆ ู…ุซู„
544
+
545
+ 137
546
+ 00:11:30,060 --> 00:11:35,650
547
+ ุญู…ู„ุฉ ูƒู„ูˆุฑ ุฃูˆ ุญู…ู„ุฉ ูู„ูˆุฑ ุซุจุงุชู‡ ุจู‚ู„ูˆุงุถุญุŸ ุงู„ุงู† ู„ูˆ ุนู†ุฏูŠ
548
+
549
+ 138
550
+ 00:11:35,650 --> 00:11:39,310
551
+ electron donating group positive ุจุญุท ุนู„ูŠู‡
552
+
553
+ 139
554
+ 00:11:39,310 --> 00:11:44,230
555
+ ุฅู„ูƒุชุฑูˆู†ุงุช ุดูˆ ุจุฏู‡ ูŠุตูŠุฑ ููŠู‡ุŸ ุจุชุนุฏู„ .. ุจุชุนุฏู„ .. ุจุชู‚ู„ุด
556
+
557
+ 140
558
+ 00:11:44,230 --> 00:11:48,990
559
+ .. ูˆ ุงุญู†ุง ุฅุฐุง ุงู„ charge ู‡ู†ุง decrease ูˆ ุงู„
560
+
561
+ 141
562
+ 00:11:48,990 --> 00:11:54,810
563
+ stability increase ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ู…ุงุฑ ุนู„ูŠู†ุง ู„ู…ุง
564
+
565
+ 142
566
+ 00:11:54,810 --> 00:11:58,070
567
+ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ carbocation ู‚ูˆู„ู†ุง ู„ูŠุด ุงู„ tertiary
568
+
569
+ 143
570
+ 00:11:58,070 --> 00:12:03,880
571
+ carbocation is stableุŸ ู„ุฃู†ู‡ ููŠู‡Electron donating
572
+
573
+ 144
574
+ 00:12:03,880 --> 00:12:08,040
575
+ groups ู…ุฌู…ูˆุนุงุช ุจุชุนุทูŠ ุฅู„ูƒุชุฑูˆู†ุงุช ูู‡ุฐู‡ ุงู„ู„ูŠ ุจุชุนุทูŠ
576
+
577
+ 145
578
+ 00:12:08,040 --> 00:12:13,240
579
+ ุฅู„ูƒุชุฑูˆู†ุงุช ุดูˆ ุจุชุนู…ู„ ููŠ positive chargeุŸ ุจุชู‚ู„ู„ุŸุงู„ู€
580
+
581
+ 146
582
+ 00:12:13,240 --> 00:12:18,540
583
+ positive charge ูˆุงุถุญุŸ ู‡ุฐุง ู‡ูˆ ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ inductive
584
+
585
+ 147
586
+ 00:12:18,540 --> 00:12:23,380
587
+ effect ูˆ ุงู„ู„ูŠ ุจู†ูุณุฑ ููŠู‡ ู„ูŠุด ุงู„ู€ tertiary ุจูŠูˆุช
588
+
589
+ 148
590
+ 00:12:23,380 --> 00:12:28,080
591
+ ุงู„ุฃู„ูƒูˆู‡ูˆู„ ุญู…ุถูŠุชู‡ ุฃู‚ู„ ู…ู† ุงู„ุฅูŠุซุงู†ูˆู„ ู…ุซู„ุง ูˆ ู„ูŠุด ุงู„ู€
592
+
593
+ 149
594
+ 00:12:28,080 --> 00:12:31,920
595
+ trifluoroethanol ุญู…ุถูŠุชู‡ ุฃูƒุชุฑ ู…ู† ุงู„ุฅูŠุซุงู†ูˆู„ ู„ุฃู† ู…ุฑุฉ
596
+
597
+ 150
598
+ 00:12:31,920 --> 00:12:37,440
599
+ ุนู†ุฏู†ุง electron donation ู‡ู†ุง ููŠ ุฅุนุทุงุก ุฅู„ูƒุชุฑูˆู†ุงุช
600
+
601
+ 151
602
+ 00:12:38,230 --> 00:12:41,430
603
+ ูˆุจุงู„ุชุงู„ูŠ ุฒูŠุงุฏุฉ ุงู„ุดุญู†ุฉ ู‡ู†ุง ููŠ ุณุญุจ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช
604
+
605
+ 152
606
+ 00:12:41,430 --> 00:12:44,070
607
+ ูˆุจุงู„ุชุงู„ูŠ ุชู‚ู„ูŠู„ ุงู„ุดุญู†ุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุดุญู†ุฉ ุฃุดู‡ุฑ ุจุชูƒูˆู†
608
+
609
+ 153
610
+ 00:12:44,070 --> 00:12:50,390
611
+ ุณุงู„ุจุฉุณุงู„ุจุฉ ุงู„ O minus ู‡ู†ุง ููŠ ุงู„ carbocation ุงู„ู…ูˆุฌุจ
612
+
613
+ 154
614
+ 00:12:50,390 --> 00:12:54,950
615
+ ุจุณ ุงุญู†ุง ุฑุงุฌุนู†ุงู„ูƒู… ุงู„ู…ูˆุถูˆุนูŠู† ู…ุน ุจุนุถ ุญุชู‰ ุชูƒูˆู† ุนู†ุฏูƒู…
616
+
617
+ 155
618
+ 00:12:54,950 --> 00:13:00,230
619
+ ุตูˆุฑุฉ ูƒู„ูŠุฉ ูˆ ุงู†ุง ูŠู…ูƒู† ุจู‚ู‰ ุงุนุชุจุฑ ูู‡ู… ู‡ุฐุง ุงู„ุฌุฒุก ุงูˆ
620
+
621
+ 156
622
+ 00:13:00,230 --> 00:13:04,770
623
+ ู‡ุฐู‡ ุงู„ุฌุฒุฆูŠุฉ ุงู„ุตุบูŠุฑุฉ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ุดุญู†ุงุช ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง
624
+
625
+ 157
626
+ 00:13:04,770 --> 00:13:10,160
627
+ ุงุณุงุณ ูƒุจูŠุฑ ุฌุฏุง ููŠ ูู‡ู… ูƒู„ ุงู„ organ ุงู„ chemistryูŠุนู†ูŠ
628
+
629
+ 158
630
+ 00:13:10,160 --> 00:13:12,880
631
+ ุงู„ู„ูŠ ุจุฏู‡ ูŠูƒูˆู† ูุงู‡ู… organ ุงู„ chemistry ูƒูˆูŠุณ ูˆ ู„ูŠุด
632
+
633
+ 159
634
+ 00:13:12,880 --> 00:13:16,540
635
+ ุจุชุตูŠุฑ ุงู„ุญุฑูƒุงุช ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ุจุฏู‡ ูŠุนุฑู ุฅู†ู‡ ููŠ ู†ู‡ุงูŠุฉ
636
+
637
+ 160
638
+ 00:13:16,540 --> 00:13:22,520
639
+ ุงู„ุชูุงุนู„ุงุช ู‚ุตุฉ ุดุญู†ุงุช ูˆ ุงู„ุดุญู†ุงุช ุฏุงุฆู…ุง ุณุงุนู‡ ู†ุญูˆ ุฒูŠุงุฏุฉ
640
+
641
+ 161
642
+ 00:13:22,520 --> 00:13:28,120
643
+ ุงู„ุดุญู†ุงุช ูˆู„ุง ุชู‚ู„ูŠู„ู‡ุงุŸ ุชู‚ู„ูŠู„ุŒ ูˆุงุถุญุŸ ูŠุนู†ูŠ ุฃูˆู„ ู…ุง ุชูŠุฌูŠ
644
+
645
+ 162
646
+ 00:13:28,120 --> 00:13:31,200
647
+ ุชู‚ูˆู„ูˆุง ุงู„ุชูุงุนู„ ุนู…ุงู„ูƒูˆุง ู‚ุงุนุฏูŠู† ุจุชู‚ูˆู„ูˆุง positive
648
+
649
+ 163
650
+ 00:13:31,200 --> 00:13:33,700
651
+ ุจูŠุฌูŠ ุจู‡ุง ุฌู…ุนุฉ negative ุฃูˆ negative ุจูŠุฌูŠ ุจู‡ุง ุฌู…ุนุฉ
652
+
653
+ 164
654
+ 00:13:33,700 --> 00:13:36,580
655
+ positive ู„ู…ุง negative ูˆ positive ู‡ุงุฌู…ูˆุง ู…ุน ุจุนุถุŒ ุดูˆ
656
+
657
+ 165
658
+ 00:13:36,580 --> 00:13:44,790
659
+ ุจูŠุนู…ู„ูˆุง ููŠ ุงู„ุดุญู†ุงุชุŸุจู‚ู„ู„ูˆู‡ุงุŒ ู…ุธุจูˆุท ูˆู„ุง ู„ุงุŸ
660
+
661
+ 166
662
+ 00:13:44,790 --> 00:13:48,670
663
+ ุฅุฐู†
664
+
665
+ 167
666
+ 00:13:48,670 --> 00:13:52,670
667
+ ู‡ุฏูˆู„ ุงู„ู…ุซุงู„ูŠู† ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู€acidic ุจุชุงุนุชู‡ู…ุŒ ุจู†ูุณุฑู‡ุง
668
+
669
+ 168
670
+ 00:13:52,670 --> 00:13:56,670
671
+ ุนู„ู‰ ุงู„ู€ductal defect ุงู„ุขู† ู„ูˆ ุฅุฌูŠู†ุง ุนู„ู‰ ุงู„ููŠู†ูˆู„ุŒ
672
+
673
+ 169
674
+ 00:13:56,670 --> 00:14:00,710
675
+ ุงุชุทู„ุนูˆุง ู…ุนู†ุง ุงู„ููŠู†ูˆู„ุŒ ุจู†ู„ุงุญุธ ุฃู†ู‡ more more acidic
676
+
677
+ 170
678
+ 00:14:00,710 --> 00:14:07,890
679
+ than ุฅูŠุซุงู†ูˆู„ุŒ ูŠุนู†ูŠ ุงู„ุฅูŠุซุงู†ูˆู„ 15 ูƒุณู„ ุงู„ููŠู†ูˆู„ุนุดุฑุฉ
680
+
681
+ 171
682
+ 00:14:07,890 --> 00:14:14,550
683
+ ุงู„ู€ Nitrophenol ุณุจุนุฉ ุตุงุฑ ุญุงู…ุถ ุฃูƒุชุฑ ุงู„ู€
684
+
685
+ 172
686
+ 00:14:14,550 --> 00:14:20,830
687
+ Trinitrophenol ู‡ุฐุง ุจูŠุตูŠุฑ .. ุจูŠุณู…ูˆู‡ ุญุงู…ุถ ูŠุนู†ูŠ
688
+
689
+ 173
690
+ 00:14:20,830 --> 00:14:25,240
691
+ ุจูŠุณู…ูˆู‡ ุจูƒุฑูŠูƒ ุฃุณุฏ ูŠุนู†ูŠ ุจูŠุจุทู„ูˆุง ูŠุณู…ูˆู‡ alcoholุทู„ุนูˆุง
692
+
693
+ 174
694
+ 00:14:25,240 --> 00:14:31,000
695
+ ุฅูŠุด ุจูŠุณู…ูˆู‡ุŸ acid ุทุจ ุฅูŠุด ุงู„ุณุจุจ ู‡ู†ุงุŸ ุงู„ุณุจุจ ุจุงู„ููŠู†ูˆู„
696
+
697
+ 175
698
+ 00:14:31,000 --> 00:14:35,620
699
+ ุจุดูƒู„ ุฃุณุงุณูŠ ู‡ูˆ ุงู„ resonance effect ุฅู†ู‡ ู„ู…ุง ุจูŠุตูŠุฑ
700
+
701
+ 176
702
+ 00:14:35,620 --> 00:14:39,280
703
+ ุนู†ุฏูŠ ู‡ู†ุง ุดุญู†ุฉ ุณุงู„ุจุฉุŒ ุจุชุชู†ุฌู„ ู‡ุฐู‡ ุงู„ุดุญู†ุฉ ุงู„ุณุงู„ุจุฉ
704
+
705
+ 177
706
+ 00:14:39,280 --> 00:14:41,820
707
+ ูˆู‡ุฐุง ุงู„ู„ูŠ ุฅุญู†ุง ุจู†ุดูˆูู‡ ููŠ ุงู„ slide
708
+
709
+ 178
710
+ 00:14:47,350 --> 00:14:52,090
711
+ ู‡ู†ุง ุฅุฐุง ุจุชุชุทู„ุนูˆุง ุนู„ู‰ ุงู„ slide ู„ู…ุง ุชูƒูˆู† ุงู„ู…ุฌู…ูˆุนุฉ R
712
+
713
+ 179
714
+ 00:14:52,090 --> 00:14:57,190
715
+ ูŠุนู†ูŠ ุฃู„ูุชูƒ ู…ุงููŠุด ุฅู…ูƒุงู†ูŠุฉ resonance ุจู†ู‚ูˆู„ ุงู„ charge
716
+
717
+ 180
718
+ 00:14:57,190 --> 00:15:02,190
719
+ localized ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุดุญู†ุฉ ุงู„ู„ูŠ ู‡ู†ุง ุซุงุจุช ู…ูƒุงู†ู‡ุง
720
+
721
+ 181
722
+ 00:15:02,190 --> 00:15:07,650
723
+ ุงู„ุดุญู†ุฉ ุจุชุญุจ ุชูƒูˆู† localized ุซุงุจุช ู…ูƒุงู†ู‡ุง ูˆู„ุง
724
+
725
+ 182
726
+ 00:15:07,650 --> 00:15:15,130
727
+ delocalized ุจุฏู‡ุง ุชูƒูˆู† delocalized ุชุทู„ุน ุนุดุงู† ุชุซุจุช
728
+
729
+ 183
730
+ 00:15:15,130 --> 00:15:20,810
731
+ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุทุจ ู‚ุฏ ุชุณุชุบุฑุจูˆุง ุฃุณุงุณุง ู‡ุฐู‡ ุงู„ููƒุฑุฉ
732
+
733
+ 184
734
+ 00:15:20,810 --> 00:15:26,330
735
+ ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„ุนู‚ูˆุจุฉ ุงู„ุจุดุฑูŠุฉ ูŠูˆู… ู…ุง ุจูŠุฌูˆุง ุจุนู‚ุจูˆุง
736
+
737
+ 185
738
+ 00:15:26,330 --> 00:15:32,710
739
+ ุงู„ุจู†ูŠ ุขุฏู… ููŠ ุงู„ุณุฌู† ุจุด ุจูŠู‚ูˆู„ูˆุง he's arrested ุฎู„ูŠุชู‡
740
+
741
+ 186
742
+ 00:15:32,710 --> 00:15:38,360
743
+ ุซุงุจุช ู…ุด ู…ุนุทูŠู‡ ู…ูƒุงู† ูŠุชุญุฑูƒุฃูƒุจุฑ ุนู‚ูˆุจุฉ ุงู„ู„ูŠ ู‚ุงุนุฏูŠู†
744
+
745
+ 187
746
+ 00:15:38,360 --> 00:15:41,860
747
+ ูŠุนุงู‚ุจูˆุง ููŠู‡ุง ูˆุงู„ุฃุณุฑุฉ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุฃู†ูƒูˆุง ุชุฎู„ูˆุง
748
+
749
+ 188
750
+ 00:15:41,860 --> 00:15:46,340
751
+ ุงู„ุฅู†ุณุงู† ุซุงุจุช ููŠ ู…ูƒุงู†ู‡ ุงู„ุฅู†ุณุงู† ุจุญุจ ุฅู†ู‡ ุฅูŠุด ูŠุชุญุฑูƒ
752
+
753
+ 189
754
+ 00:15:46,340 --> 00:15:50,760
755
+ ูุจูŠู‚ูˆู„ูˆุง arrested ูŠุนู†ูŠ ุฎู„ุงุต ุซุจุชุช ุฃู†ุง ู…ูƒุงู†ู‡ ู…ุงููŠุด
756
+
757
+ 190
758
+ 00:15:50,760 --> 00:15:56,660
759
+ ุฅู…ูƒุงู†ูŠุฉ ูŠุนู†ูŠ ุจูŠุจุทู„ ุซุงุจุช ูุจูŠู‚ูˆู„ ู‡ู†ุง ู„ู…ุง ุชูƒูˆู† ุงู„ R
760
+
761
+ 191
762
+ 00:15:56,660 --> 00:16:01,520
763
+ ุฃู„ูุงุชูŠูƒ ุงู„ charge is localized ูˆุนุดุงู† ู‡ูŠูƒ ู‡ู†ุง ุจุชูƒูˆู†
764
+
765
+ 192
766
+ 00:16:01,520 --> 00:16:07,420
767
+ ุงู„ุญู…ุถูŠุฉ ู‚ู„ูŠู„ุฉ ุจูŠู†ู…ุงููŠ ุงู„ู€ Phenol ุจุฅู…ูƒุงู†ูƒูˆุง ุชุทู„ุนูˆุง
768
+
769
+ 193
770
+ 00:16:07,420 --> 00:16:10,040
771
+ ู‡ู†ุง ุงู„ู€ ChargeุŒ ู…ุงุนุฑูุด ุฅุฐุง ูˆุงุถุญุฉ ุฃูˆ ู…ุถุญุฉ ุฃูƒุชุฑ
772
+
773
+ 194
774
+ 00:16:10,040 --> 00:16:15,140
775
+ ุจุงู„ู„ูˆู† ุงู„ุฃุญู…ุฑุŒ ู‡ุฐู‡ ุงู„ู€ Charge ุนุงู…ุงู„ู‡ุง ุจุชุชู†ู‚ู„ุŒ ูŠุนู†ูŠ
776
+
777
+ 195
778
+ 00:16:15,140 --> 00:16:18,400
779
+ ู„ู…ุง ุจู†ุนู…ู„ ุญุฑูƒุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ุญุฑูƒุฉ ุตุงุฑุช ู…ุฑุฉ ู…ุญู…ูˆู„ุฉ ุนู„ู‰
780
+
781
+ 196
782
+ 00:16:18,400 --> 00:16:21,060
783
+ ุงู„ู€ OxygenุŒ ู…ุฑุฉ ุนู„ู‰ ุงู„ู€ Carbon ู‡ุงุฏู‰ุŒ ู…ุฑุฉ ุนู„ู‰ ุงู„ู€
784
+
785
+ 197
786
+ 00:16:21,060 --> 00:16:23,740
787
+ Carbon ู‡ุงุฏู‰ุŒ ู…ุฑุฉ ุนู„ู‰ ุงู„ู€ Carbon ู‡ุงุฏู‰ุŒ ุชู…ุงู…ุง ุฒูŠ
788
+
789
+ 198
790
+ 00:16:23,740 --> 00:16:26,740
791
+ ุฅู†ุณุงู† ุนู†ุฏู‡ ุซู‚ู„ ูˆ ุจูŠุญู…ู„ู‡ ู…ุฑุฉ ุจุงู„ุฅูŠุฏ ุงู„ูŠู…ูŠู† ูˆ ู…ุฑุฉ
792
+
793
+ 199
794
+ 00:16:26,740 --> 00:16:32,340
795
+ ุจุงู„ุฅุดู…ุงู„ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูˆุจุงู„ุชุงู„ูŠ ุงู„ุดุญู†ู‡ุงู†ุฉ ุฃุตุจุญุช
796
+
797
+ 200
798
+ 00:16:32,340 --> 00:16:38,040
799
+ ู…ูˆุฒุนุฉ ู‡ุฐุง ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ ุงุญู†ุง resonance effect ูˆุงุถุญุŸ
800
+
801
+ 201
802
+ 00:16:38,040 --> 00:16:42,360
803
+ ุงุฐุง ุงู„ phenols they are more acidic than alcohols
804
+
805
+ 202
806
+ 00:16:42,360 --> 00:16:46,040
807
+ due to resonance effect ุงูŠุด ูŠุนู†ูŠ resonanceุŸ ุฏูŠ
808
+
809
+ 203
810
+ 00:16:46,040 --> 00:16:49,020
811
+ localization of the negative charge ุงู†ู‡ negative
812
+
813
+ 204
814
+ 00:16:49,020 --> 00:16:54,900
815
+ charge ุชูƒูˆู† ู…ูˆุฒุนุฉ localization ุซุงุจุชุฉ ุจู…ูƒุงู† ู…ุด
816
+
817
+ 205
818
+ 00:16:54,900 --> 00:17:05,520
819
+ locationู…ูˆู‚ุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน
820
+
821
+ 206
822
+ 00:17:05,520 --> 00:17:08,720
823
+ ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน
824
+
825
+ 207
826
+ 00:17:08,720 --> 00:17:08,860
827
+ ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน
828
+
829
+ 208
830
+ 00:17:08,860 --> 00:17:10,400
831
+ ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน ู…ูˆุถุน
832
+
833
+ 209
834
+ 00:17:27,930 --> 00:17:33,430
835
+ ุฃูˆ ู†ู‚ูˆู„ ู…ุซู„ุง ุงู„ู€ Trifluoroethanol is more acidic
836
+
837
+ 210
838
+ 00:17:33,430 --> 00:17:36,670
839
+ than ethanol due to resonance effect ู„ุฃ ู‡ู†ุงูƒ
840
+
841
+ 211
842
+ 00:17:36,670 --> 00:17:41,130
843
+ inductive effect ุจุชูƒูˆู† ุชู…ูŠุฒู‡ ู‡ุฏูˆู„ุฉ ุงู„ู†ูˆุนูŠู† ู…ู†
844
+
845
+ 212
846
+ 00:17:41,130 --> 00:17:46,010
847
+ ุงู„ุชุฃุซูŠุฑ ุงู„ู„ูŠ ู‡ู… ุงู„ resonance effect ูˆ ุงู„ inductive
848
+
849
+ 213
850
+ 00:17:46,010 --> 00:17:52,150
851
+ effect ุงู„ุฃู† ู„ุงุญุธูˆุง ู…ุนู†ู‰ ู„ูˆ ุตุงุฑ ุนู†ุฏูŠ ู…ุฌู…ูˆุนุฉ ู†ูŠุชุฑูˆ
852
+
853
+ 214
854
+ 00:17:52,150 --> 00:18:00,140
855
+ ุงู„ุญุงู…ุถูŠุฉุจุชุฒูŠุฏ ุฃูƒุชุฑ ูˆ ุฃูƒุชุฑ ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ BKA ูƒุงู†ุช
856
+
857
+ 215
858
+ 00:18:00,140 --> 00:18:07,080
859
+ ู„ู„ููŠู†ูˆู„ ุนุดุฑุฉ ู„ู†ูŠุชุฑูˆููŠู†ูˆู„ ุญุณุจ ุงู„ุฌุฏูˆู„ ุณุจุนุฉ ุชู‚ุฑูŠุจุง ุทุจ
860
+
861
+ 216
862
+ 00:18:07,080 --> 00:18:10,620
863
+ ุฅูŠุด ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ู†ูŠุชุฑูˆููŠู†ูˆู„ุŸ ุงู„ู†ูŠุชุฑูˆููŠู†ูˆู„ ููŠ
864
+
865
+ 217
866
+ 00:18:10,620 --> 00:18:14,700
867
+ ุนู†ุฏูŠ resonance ูŠุนู†ูŠ ู‡ูŠ ุงู„ negative ู…ูˆุฌูˆุฏุฉ ู…ุฑุฉ ู‡ุงู†
868
+
869
+ 218
870
+ 00:18:14,700 --> 00:18:19,770
871
+ ู…ูˆุฌูˆุฏุฉ ู…ุฑุฉ ู‡ุงู† ู…ูˆุฌูˆุฏุฉ ู‡ุงู† ู…ูˆุฌูˆุฏุฉุจุชุชู†ู‚ู„ ูƒู…ุงู† ุนู„ู‰ ุงู„
872
+
873
+ 219
874
+ 00:18:19,770 --> 00:18:24,330
875
+ oxygen ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช ุฑุงุณ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ nitro ุจูŠุนู…ู„
876
+
877
+ 220
878
+ 00:18:24,330 --> 00:18:28,190
879
+ ุนู†ุฏู‰ positive ู‡ู†ุง ู‡ุฐุง ุงู„ positive ุดูˆ ุจูŠุนู…ู„ ููŠ ุงู„
880
+
881
+ 221
882
+ 00:18:28,190 --> 00:18:34,130
883
+ negativeุŸ ุณุญุจ ูู‡ู†ุง ุญู‚ูŠู‚ุฉ ููŠ ุงู„ nitrophenol ุงู†ุง ููŠ
884
+
885
+ 222
886
+ 00:18:34,130 --> 00:18:38,610
887
+ ุนู†ุฏู‰ two effects ููŠ ุนู†ุฏู‰ resonance charge ุจุตุฑุง ู„ู‡ุง
888
+
889
+ 223
890
+ 00:18:38,610 --> 00:18:41,770
891
+ resonance ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช ููŠ ุนู†ุฏู‰ ุทุฑู ู…ูˆุฌุฉ ุจุงู„ุทุฑู
892
+
893
+ 224
894
+ 00:18:41,770 --> 00:18:46,460
895
+ ุงู„ู…ูˆุฌุฉ ุจุฅูŠุด ุฏุงุฆู…ุงุŸุจุฏูˆ ูŠุณุญุจ ุงู„ุณุงู„ุจ ูุตุงุฑ ุนู†ุฏู‰ ุฎู„ูŠุท
896
+
897
+ 225
898
+ 00:18:46,460 --> 00:18:51,820
899
+ ู…ู† resonance effect ูˆ inductive effect ุทุจุนุง ุชุฎูŠู„ูˆุง
900
+
901
+ 226
902
+ 00:18:51,820 --> 00:18:57,820
903
+ ู„๏ฟฝ๏ฟฝ ุตุงุฑ ุนู†ุฏู‰ ู…ุด ู†ูŠุชุฑูˆ ูˆุงุญุฏุฉ ุชุฑูŠ ู†ูŠุชุฑูˆููŠู†ูˆ ุงู„ู…ุฑุงูƒุจ
904
+
905
+ 227
906
+ 00:18:57,820 --> 00:19:01,560
907
+ ุจูŠุตูŠุฑ very acidic ูŠุนู†ู‰ ุงู„ ุจูŠูƒุฑูƒ ุฃุณุฏ ู„ูˆู†ู‡ ุฃุตูุฑ ุบุงู…ู‚
908
+
909
+ 228
910
+ 00:19:01,560 --> 00:19:05,080
911
+ ู„ูˆ ุงู†ูƒุจ ุนู„ู‰ ุงู„ุฃูŠุฏูŠู† ุฃูˆ ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ุฃูˆ ุนู„ู‰ ุงู„ู…ู„ุงุจุณ
912
+
913
+ 229
914
+ 00:19:05,080 --> 00:19:11,830
915
+ ุจูŠุญุฑุฌู‡ุงูˆุงุถุญุŸ ุจูŠุตูŠุฑ ุญุงู…ุถูŠุŒ ุจูŠู†ู…ุง ุงู„ Ethanol ู„ุฃ ูŠุนู†ูŠ
916
+
917
+ 230
918
+ 00:19:11,830 --> 00:19:16,490
919
+ ู„ูˆ ุฃูŠ ุทุงู„ุจุฉ ู†ูุชุฑุถ ููŠูƒ ูˆ ุฅูŠุฌูŠ ุนู„ู‰ ุฌุฒุก ู…ู† ู…ู„ุงุจุณู‡ุง
920
+
921
+ 231
922
+ 00:19:16,490 --> 00:19:21,030
923
+ ุดูˆูŠุฉ ู…ุงุฏุฉ ุนุถูˆูŠุฉ ููŠู‡ุง ู„ูˆู† ูˆ ุน ุงู„ุณุฑูŠุน ุฑุงุญุช ุบุณู„ุชู‡ุง
924
+
925
+ 232
926
+ 00:19:21,030 --> 00:19:25,350
927
+ ุจุดูˆูŠุฉ EthanolุŒ ู…ุงุจุชุฎุฑุจุด ุงู„ู…ู„ุงุจุณุŒ ู…ุด ููŠู‡ุง ุดูŠุกุŒ ุจุณ
928
+
929
+ 233
930
+ 00:19:25,350 --> 00:19:28,570
931
+ ุงู„ Bacric Acid ู„ุฃ ุจูŠุญุฑุฌ ุงู„ุฅูŠุฏุฉ
932
+
933
+ 234
934
+ 00:19:35,700 --> 00:19:39,500
935
+ ุชู‚ุฑูŠุจุง ู‡ุฐู‡ ุฃู…ุซู„ุฉ ุชุฃูƒูŠุฏูŠุฉ ุนู„ู‰ ุงู„ู€ electron
936
+
937
+ 235
938
+ 00:19:39,500 --> 00:19:44,100
939
+ withdrawing groups ู„ุงุญุธูˆุง ู‡ู†ุง ุจู†ู‚ูˆู„ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูŠ
940
+
941
+ 236
942
+ 00:19:44,100 --> 00:19:50,680
943
+ ุชู„ุงุชุฉ ูƒู„ูˆุฑ ู…ุซู„ุง ู…ุน ุงู„ุงุซุงู†ูˆู„ ุจูŠูƒูˆู† more acidic than
944
+
945
+ 237
946
+ 00:19:50,680 --> 00:19:56,920
947
+ the chloroethanol more acidic than ุงู„ุงุซุงู†ูˆู„
948
+
949
+ 238
950
+ 00:19:56,920 --> 00:20:01,180
951
+ itself ูƒู„ ู‡ุฐุง ุงู„ effect due to ุฅูŠุดุŸ inductive
952
+
953
+ 239
954
+ 00:20:01,180 --> 00:20:05,840
955
+ effect ุฒูŠ ู…ุง ุฃู†ุชูˆุง ุดุงูŠููŠู†ู‡ู‡ู†ุง ุงู„ู…ู‚ุงุฑู†ุฉ inductive
956
+
957
+ 240
958
+ 00:20:05,840 --> 00:20:13,700
959
+ effect ุงู„ุขู† ุจุดูƒู„ ุนุงู… ุงู„ุซูŠูˆู„
960
+
961
+ 241
962
+ 00:20:13,700 --> 00:20:19,960
963
+ ุงู„ุฐูŠู† ููŠู‡ู… ุงู„ุณู„ูุฑ ุจุฏู„ ุงู„ุฃูƒุณุฌูŠู† ู‡ู… ุฃุณูˆุฏ ุฃูƒุชุฑ ู…ู†
964
+
965
+ 242
966
+ 00:20:19,960 --> 00:20:25,780
967
+ ุงู„ุฃู„ูƒูˆู‡ูˆู„ ูŠุนู†ูŠ ู„ู…ุง ุจุชูƒูˆู† ุชุนู…ู„ูˆุง ู…ู‚ุงุฑู†ุฉ RSH ุฃูˆ ROH
968
+
969
+ 243
970
+ 00:20:25,780 --> 00:20:30,920
971
+ ูŠุนู†ูŠ ุจุชู‚ูˆู„ Ethyl OH ุงู„ุงุซุงู†ูˆู„ ุฃูˆ Ethyl SH ุงู„ู„ูŠ ู‡ูˆ
972
+
973
+ 244
974
+ 00:20:30,920 --> 00:20:37,750
975
+ ุงู„ุซูŠูˆ ุงุซุงู†ูˆู„ุฃู† ู‡ูˆ ุจูŠูƒูˆู† more acidic ุงู„ุณุจุจ ุฃู†ู‡ ู„ู…ุง
976
+
977
+ 245
978
+ 00:20:37,750 --> 00:20:41,370
979
+ ุชูู‚ุฏ ุงู„ H ุจุชุธู‡ุฑ ุงู„ negative charge ุนู„ู‰ ุงู„ูƒุงุจุฑูŠุช
980
+
981
+ 246
982
+ 00:20:41,370 --> 00:20:45,910
983
+ ูˆุงู„ูƒุงุจุฑูŠุช ุฃูƒุจุฑ .. ุจุชุฐูƒุฑูˆุง ุงู„ acidity ููŠ ุงู„ group
984
+
985
+ 247
986
+ 00:20:45,910 --> 00:20:50,390
987
+ ุจุชู†ุฒู„ ู„ุชุญุช ูƒู„ ู…ุง ุงู„ู…ุฌู…ูˆุนุฉ ูƒุจุฑุช ูƒู„ ู…ุง ูƒุงู†ุช ุฃู‚ุฏุฑ ุนู„ู‰
988
+
989
+ 248
990
+ 00:20:50,390 --> 00:20:55,790
991
+ ุญู…ู„ ุงู„ุดุญู†ุฉ ู„ู…ุง ุฃุฎุฏุชูˆุง ุงู„ binary acids ุฒูŠ HCl ูˆH2O
992
+
993
+ 249
994
+ 00:20:55,790 --> 00:20:59,410
995
+ ูˆHF ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ุงุชุฐูƒุฑูˆุง ู…ุน ุงู„ acidity ููŠ ุงู„ุฌุฏูˆู„
996
+
997
+ 250
998
+ 00:20:59,410 --> 00:21:02,790
999
+ ุงู„ุฏูˆุฑูŠ ูƒุงู†ุช ุชุฒูŠุฏ ุจู‡ุฐุง ..
1000
+
1001
+ 251
1002
+ 00:21:04,390 --> 00:21:08,810
1003
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ูƒู†ุง ู†ูุณุฑ ุงู„ุณุจุจ ุจุงู„ electronegativity
1004
+
1005
+ 252
1006
+ 00:21:08,810 --> 00:21:12,910
1007
+ ูˆุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ูƒู†ุง ู†ูุณุฑ ุงู„ุณุจุจ ุจุงู„ size ูƒู†ุง ู‡ู†ุง ู†ู‚ูˆู„
1008
+
1009
+ 253
1010
+ 00:21:12,910 --> 00:21:18,290
1011
+ ุงู„ุณุจุจ ุงู„ size ูˆ ู‡ู†ุง ุงู„ุณุจุจ ุงู„ electronegativity
1012
+
1013
+ 254
1014
+ 00:21:20,100 --> 00:21:24,760
1015
+ ุทุจุนุง ู‡ู†ุง ุงู„ oxygen ุชุญุช ู…ู†ู‡ ุงู„ sulfur .. ุงู„ oxygen
1016
+
1017
+ 255
1018
+ 00:21:24,760 --> 00:21:29,840
1019
+ ุชุญุช ู…ู†ู‡ ุงู„ sulfur ุนุดุงู† ู‡ูŠูƒ ุงู„ thyols they are more
1020
+
1021
+ 256
1022
+ 00:21:29,840 --> 00:21:35,100
1023
+ acidic than alcohols ูˆ ุงู„ thyophenols they are
1024
+
1025
+ 257
1026
+ 00:21:35,100 --> 00:21:40,040
1027
+ more acidic than phenols ูˆุงุถุญุŸ ุทุจุนุง ุงู„ู„ูŠ ุจุฏู‡
1028
+
1029
+ 258
1030
+ 00:21:40,040 --> 00:21:45,110
1031
+ ูŠู‚ุงุฑู†ู‡ ุงู„ู…ูุฑูˆุถ ูŠู‚ุงุฑู†ู‡ ุฅูŠุดุŸุงู„ุงุดูŠุงุก ุงู„ู…ุชุดุงุจู‡ุฉ ู‡ุฐุง
1032
+
1033
+ 259
1034
+ 00:21:45,110 --> 00:21:51,470
1035
+ ู…ุจุฏุฃ ุนุงู… ุฏุงุฆู…ุง ููŠ ุงู„ุนู„ูˆู… ู„ู…ุง ุจุชุนู…ู„ูˆุง ู…ู‚ุงุฑู†ุงุช ู…ุงุญุฏุด
1036
+
1037
+ 260
1038
+ 00:21:51,470 --> 00:21:57,850
1039
+ ุนู…ุฑู‡ ูŠุนู…ู„ ุงู„ู…ู‚ุงุฑู†ุงุช ุจูŠู† ุงู„ุฃุดูŠุงุก ุบูŠุฑ ุงู„ู…ุชุดุงุจู‡ุฉ ูˆุงุถุญ
1040
+
1041
+ 261
1042
+ 00:21:57,850 --> 00:22:03,150
1043
+ ูŠุนู†ูŠ ุงุชุทู„ุนูˆุง ุงู†ุชูˆุง ู…ุซู„ุง ููŠ ุงู„ุฑูŠุงุถุฉ ููŠ ุงู„ุฑูŠุงุถุฉ ู„ู…ุง
1044
+
1045
+ 262
1046
+ 00:22:03,150 --> 00:22:06,910
1047
+ ุจูŠุฌูˆุง ุจูŠุนู…ู„ูˆุง ุจุทูˆู„ุงุช ุจูŠุนู…ู„ูˆุง ุจุทูˆู„ุฉ ุจูŠุณู…ูˆู‡ุง ุจุทูˆู„ุฉ
1048
+
1049
+ 263
1050
+ 00:22:06,910 --> 00:22:12,350
1051
+ ุงู„ุฃุดุจุงู„ุจุธุจุท ูˆู„ุง ู„ุงุŸ ูˆุจูŠุนู…ู„ูˆุง ุจุทูˆู„ุฉ ุจูŠุณู…ูˆู‡ุง ุงู„ุจุทูˆู„ุฉ
1052
+
1053
+ 264
1054
+ 00:22:12,350 --> 00:22:16,550
1055
+ ุงู„ุฃูˆู„ู…ุจูŠุฉ ุงู„ุดุจุงุจ ุงู„ุตุบุงุฑ ุดูˆูŠุฉ ูˆุจูŠุนู…ู„ูˆุง ุจุทูˆู„ุฉ ุงู„ู„ูŠ
1056
+
1057
+ 265
1058
+ 00:22:16,550 --> 00:22:20,650
1059
+ ู‡ูŠ ุจุทูˆู„ุฉ ุงู„ูุฑูŠู‚ ุงู„ุฃูˆู„ ููƒู„ ู…ุฌู…ูˆุนุฉ ุจูŠู‚ุงุฑู†ูˆู‡ุง ู…ุน
1060
+
1061
+ 266
1062
+ 00:22:20,650 --> 00:22:26,190
1063
+ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู…ู†ุงุบุฑุฉ ุฅู„ู‡ุง ุจุณ ู…ุงุจูŠุฌูˆุด ูŠุนู…ู„ูˆุง ุจุทูˆู„ุฉ
1064
+
1065
+ 267
1066
+ 00:22:26,190 --> 00:22:32,390
1067
+ ุฃุดุจุงู„ ูŠู„ุนุจูˆู‡ู… ู…ุน ู†ุงุณ ุฃูƒุจุงุฑ ูƒู„ุงู… ู…ุด ู…ู†ุทู‚ูŠ ุทุจุนุง ู…ุนุธู…
1068
+
1069
+ 268
1070
+ 00:22:32,390 --> 00:22:38,760
1071
+ ุงู„ุจุทูˆู„ุงุช ููŠ 99% ู…ู†ู‡ุง ุจุชู„ุงู‚ูˆุง ุจุทูˆู„ุงุช ุงู„ุฑุฌุงู„ูˆุจุทูˆู„ุงุช
1072
+
1073
+ 269
1074
+ 00:22:38,760 --> 00:22:44,720
1075
+ ุงู„ู†ุณุงุก .. ู…ุงุดูˆูุชุด ุงู†ุง ุจุญูŠุงุชูŠ ู…ู…ูƒู† ู…ุจุงุฑุงุฉ ูƒูˆุฑุฉ ู‚ุฏู…
1076
+
1077
+ 270
1078
+ 00:22:44,720 --> 00:22:48,040
1079
+ ุฅู„ุง ุฅุฐุง Fantasy ุจุณ ูƒุงู†ุช ุจูŠู† ูุฑูŠู‚ ุงู„ุฑุฌุงู„ ูˆูุฑูŠู‚
1080
+
1081
+ 271
1082
+ 00:22:48,040 --> 00:22:53,810
1083
+ ุงู„ู†ุณุงุก ู„ูƒู† ุจุชู„ุงู‚ูŠ ุฏูˆุฑูŠ ู„ุฅูŠุดู„ู„ู†ุณุงุก ูุงู„ู…ู‚ุงุฑู†ุงุช ุฏุงุฆู…ุง
1084
+
1085
+ 272
1086
+ 00:22:53,810 --> 00:22:57,330
1087
+ ุฃุดูŠุงุก ุฒูŠ ุจุนุถ ูู„ู…ุง ุฃู†ุง ุจุฏุฃ ุงู‚ุงุฑู† ุจุญุท ู‡ุงู† R ูˆ ู‡ุงู† R
1088
+
1089
+ 273
1090
+ 00:22:57,330 --> 00:23:02,610
1091
+ ุจู‚ูˆู„ ุงู„ RSH is more acidic than ROH ุจุญุท ุงู†ุง AR ูˆ
1092
+
1093
+ 274
1094
+ 00:23:02,610 --> 00:23:08,270
1095
+ ุงู†ุง AR ุงู„ ARSH ุงูƒุชุฑ ู…ู† ุงู„ AROH ู‡ู†ุง ุจู‚ุฏุฑ ุงุนุทูŠ ุฌูˆุงุจ
1096
+
1097
+ 275
1098
+ 00:23:08,270 --> 00:23:13,150
1099
+ ุจุณู‡ูˆู„ุฉ ูˆุงุถุญุŸ ุจู‚ุฏุฑ ุงุนุทูŠ ุฌูˆุงุจ ุจุณู‡ูˆู„ุฉ ู‡ุฐู‡ ุงู„ู‚ูˆุฉ ููŠ ุงู„
1100
+
1101
+ 276
1102
+ 00:23:13,150 --> 00:23:17,190
1103
+ acidity ุจุชุฑุชุจ ุนู„ูŠู‡ุง ุฎูˆุงุต ูƒูŠู…ูŠุงุฆูŠุฉ ู…ุนู†ู‰ ุฎูˆุงุต
1104
+
1105
+ 277
1106
+ 00:23:17,190 --> 00:23:22,840
1107
+ ูƒูŠู…ูŠุงุฆูŠุฉ ุชูุงุนู„ุงุชูˆุงุถุญุŸ ู…ุนู†ู‰ ุฎูˆุงุตุฉ ูƒูŠู…ูŠุงุฆูŠุฉ ุชูุงุนู„ุงุช
1108
+
1109
+ 278
1110
+ 00:23:22,840 --> 00:23:28,880
1111
+ reactions ุจุจุณุงุทุฉ ุฃู†ู‡ ู„ูˆ ุฃู†ุง ุฃุฎุฏุช ROH ุงู„ูƒู‡ูˆู„ ุจุฏู‡
1112
+
1113
+ 279
1114
+ 00:23:28,880 --> 00:23:33,480
1115
+ ุฃูุนู„ู‡ ู…ุน ุงู„ sodium hydroxide which is a strong
1116
+
1117
+ 280
1118
+ 00:23:33,480 --> 00:23:39,220
1119
+ base ุฑุบู… ุฃู†ู‡ ู‡ุฐูŠ strong base ู„ูƒู† ุงู„ ุงู„ูƒู‡ูˆู„ very
1120
+
1121
+ 281
1122
+ 00:23:39,220 --> 00:23:46,210
1123
+ weak acid ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู…ุงุจุตูŠุฑุด ุชูุงุนู„ูŠุนู†ูŠ ู…ุงุจุชูุนู„ุด
1124
+
1125
+ 282
1126
+ 00:23:46,210 --> 00:23:49,370
1127
+ ุงู„ alcohol ู…ุน ุงู„ sodium hydroxide ูƒุงู† ู…ู…ูƒู† ุงู†ุชูˆุง
1128
+
1129
+ 283
1130
+ 00:23:49,370 --> 00:23:52,690
1131
+ ุงูŠุด ุงู„ู„ูŠ ุจุชุชูˆู‚ุนูˆุง ุงู†ู‡ ูŠุนุทูŠู†ุง RO minus and A plus
1132
+
1133
+ 284
1134
+ 00:23:52,690 --> 00:23:58,210
1135
+ ุจุณ ู…ุน ุงู„ sodium hydroxide ุงู„ alcohol ู…ุงุจุชูุนู„ุดูˆุงุถุญุŸ
1136
+
1137
+ 285
1138
+ 00:23:58,210 --> 00:24:04,950
1139
+ ุจูŠู†ู…ุง ุงู„ู€ thioalcohols ุจุชุนุงู…ู„ูˆุง ูƒุฃู†ู‡ู… acids RSH ุฒูŠ
1140
+
1141
+ 286
1142
+ 00:24:04,950 --> 00:24:11,070
1143
+ NAOH ุญู…ุถ ุฒูŠ ู‚ุงุนุฏุฉ ู…ู„ุญ ุฒูŠ ุฏู…ุงุบ RS minus and A plus
1144
+
1145
+ 287
1146
+ 00:24:11,070 --> 00:24:16,290
1147
+ ู‡ุฐุง ุงู„ู…ู„ุญ ุฒูŠ H2O ู…ุนุฏู„ุฉ ุงู„ุญู…ุถ ูˆุงู„ู‚ุงุนุฏุฉ ุงู„ู…ุนุฑูˆูุฉ
1148
+
1149
+ 288
1150
+ 00:24:16,290 --> 00:24:22,580
1151
+ ุนู†ุฏูƒู… ู„ูŠุณ ุงุชูุงุนู„ ุงู„ RSH ู…ุน ุงู„ sodium hydroxideุฃูƒุชุฑ
1152
+
1153
+ 289
1154
+ 00:24:22,580 --> 00:24:26,500
1155
+ ู…ู† ุงู„ ROHุŒ ุงู„ ROH ู…ุง ุชูุนู„ุด ุจุงู„ู…ุฑุฉ ุงู„ุณุจุจ ุฃู† ู‡ูˆ more
1156
+
1157
+ 290
1158
+ 00:24:26,500 --> 00:24:32,640
1159
+ acidic than ุงู„ alcohol ูุงู„ุซูŠูˆู„ุฒุŒ ุงู„ุซูŠูˆู„ุฒ ุจู†ู‚ูˆู„
1160
+
1161
+ 291
1162
+ 00:24:32,640 --> 00:24:36,460
1163
+ ุนู†ู‡ู… they react with sodium hydroxide producing
1164
+
1165
+ 292
1166
+ 00:24:36,460 --> 00:24:41,000
1167
+ salt and water however alcohols they don't react
1168
+
1169
+ 293
1170
+ 00:24:41,000 --> 00:24:41,480
1171
+ with
1172
+
1173
+ 294
1174
+ 00:24:44,170 --> 00:24:48,670
1175
+ ูˆุงุถุญุŸ ุฑุบู… ุฃู† ุงู„ู€ Sodium Hydroxide ุนุจุงุฑุฉ ุนู† ู…ุคุณุณุฉ
1176
+
1177
+ 295
1178
+ 00:24:48,670 --> 00:24:55,590
1179
+ ู‚ูˆูŠุฉ ู„ูƒู† ู…ุง ุฒุงู„ ู…ุด ู‚ุงุฏุฑ ูŠุณุญุจ ู„ุจุฑูˆุชูˆู†ู…ู† ุงู„ุญุงู…ุถ ู„ุฃู†
1180
+
1181
+ 296
1182
+ 00:24:55,590 --> 00:25:00,390
1183
+ ู‡ุฐุง ุงู„ุญุงู…ุถ ุถุนูŠู ุงู„ุขู† ุจูŠุธู„ ุดุบู„ุฉ ุงู†ู‡ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ูˆุง
1184
+
1185
+ 297
1186
+ 00:25:00,390 --> 00:25:06,610
1187
+ ูˆููˆู‚ ูƒู„ ุฐูŠ ุนู„ู… ุนู„ูŠู… ูŠุนู†ูŠ ู‡ุฐุง ุงู„ alcohol ุงู„ุญุงู…ุถ
1188
+
1189
+ 298
1190
+ 00:25:06,610 --> 00:25:11,330
1191
+ ุงู„ุถุนูŠู ู„ูˆ ุฌุจุชู„ู‡ ู‚ุงุนุฏุฉ ุฃู‚ูˆู‰ ู…ู† ุงู„ sodium hydroxide
1192
+
1193
+ 299
1194
+ 00:25:11,330 --> 00:25:14,830
1195
+ ูŠุนู†ูŠ very strong base ู„ุงุญุธูˆุง ุงู„ุชุนุจูŠุฑ ุชุจุนูŠ ุฃู†ุง ุจู‚ูˆู„
1196
+
1197
+ 300
1198
+ 00:25:14,830 --> 00:25:18,880
1199
+ ุงู„ sodium hydroxide isstrong base ุงู†ุง ุจุฏูŠ ุงุฌูŠุจู„ู‡
1200
+
1201
+ 301
1202
+ 00:25:18,880 --> 00:25:23,580
1203
+ very strong base ูŠู‚ุฏุฑ ูŠุณุญุจ ู…ู†ู‡ ุงู„ุจุฑูˆุชูˆู† ุงู„ very
1204
+
1205
+ 302
1206
+ 00:25:23,580 --> 00:25:28,240
1207
+ strong base ูŠุง ุจูŠูƒูˆู† ุงู„ sodiumูŠุง ุจูŠูƒูˆู† ุงู„ุณูˆุฏูŠูˆู…
1208
+
1209
+ 303
1210
+ 00:25:28,240 --> 00:25:32,600
1211
+ ู‡ูŠุฏุฑุงูŠุฏ ู‡ุฏูˆู„ุฉ they are stronger bases than sodium
1212
+
1213
+ 304
1214
+ 00:25:32,600 --> 00:25:37,220
1215
+ hydroxide ูุงู„ ROH ู…ุน ุงู„ุณูˆุฏูŠูˆู… ุฃูˆ ู…ุน ุงู„ุณูˆุฏูŠูˆู…
1216
+
1217
+ 305
1218
+ 00:25:37,220 --> 00:25:44,380
1219
+ ู‡ูŠุฏุฑุงูŠุฏ ROH ุจู„ุณ ู‡ู†ุง ู…ุด ูŠุณุงูˆูŠ ุจู„ุณ ุจู„ุณ NA ุจูŠุนุทูŠู„ูŠ R
1220
+
1221
+ 306
1222
+ 00:25:44,380 --> 00:25:49,560
1223
+ O minus NA plus ุฃุนุทุงู†ูŠ ุงู„ู…ู„ุญ ูˆุงุถุญ ุทุจุนุง ุฒุงุฏ
1224
+
1225
+ 307
1226
+ 00:25:49,560 --> 00:25:56,100
1227
+ ู‡ูŠุฏุฑูˆุฌูŠู† ููŠ ุงู„ุญุงู„ุชูŠู†ุฃุฐุง ุงู†ุง ู…ู…ูƒู† ุงูƒูˆู‘ู† ุงู„ู„ูŠ
1228
+
1229
+ 308
1230
+ 00:25:56,100 --> 00:26:01,920
1231
+ ุจู†ุณู…ูŠู‡ุง ุงู„ูƒูˆูƒุณุงูŠุฏ ุณูˆู„ุชุฒ ู‡ุฐู‡ ุงูŠุด ุงุณู…ู‡ุง ุงู„ูƒู„ ุงูƒุณูˆุฌูŠู†
1232
+
1233
+ 309
1234
+ 00:26:01,920 --> 00:26:08,980
1235
+ ุงู„ูƒูˆูƒุณุงูŠุฏ ุงู„ูƒูˆูƒุณุงูŠุฏ ุณูˆู„ุชุฒ ู…ู† ุฎู„ุงู„ ุงู„ุชูุงุนู„ ู…ุน very
1236
+
1237
+ 310
1238
+ 00:26:08,980 --> 00:26:13,400
1239
+ strong base ุงู„ูƒูˆูƒุณุงูŠุฏ ูŠุนู†ูŠ ู„ูˆ ุงุฌูŠุช ู…ุซู„ุง ู‚ูˆู„ุช ุจุฏูŠ
1240
+
1241
+ 311
1242
+ 00:26:13,400 --> 00:26:20,700
1243
+ CH3 O minus and A plus ู‡ุฐุง ุงู„ู…ุฑูƒุจ ุดูˆ ุงุณู…ู‡ุŸ Sodium
1244
+
1245
+ 312
1246
+ 00:26:21,740 --> 00:26:26,260
1247
+ ู…ูŠุซูˆูƒุณุงูŠุฏ ุฒูŠ ู…ุง ูƒู†ุง ู„ู…ุง ูŠุนู†ูŠ ู†ุดูˆู ุฃูŠ ู…ุฑูƒุจ ู„ูˆ ูƒุงู†
1248
+
1249
+ 313
1250
+ 00:26:26,260 --> 00:26:30,580
1251
+ ุฃุณูŠุชูŠุช ูƒู†ุง ู†ู‚ูˆู„ ุตูˆุฏูŠูˆู… ุฃุณูŠุชูŠุช ู‡ุฐุง ุฅูŠุด ุจูŠูƒูˆู† ุงุณู…ู‡
1252
+
1253
+ 314
1254
+ 00:26:30,580 --> 00:26:38,400
1255
+ ุตูˆุฏูŠูˆู… ู…ูŠุซูˆูƒุณุงูŠุฏ ูู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ู„ู…ุง ุชูƒูˆู† ู…ุซู„
1256
+
1257
+ 315
1258
+ 00:26:38,400 --> 00:26:44,120
1259
+ ู…ูŠุซูˆูƒุณ๏ฟฝ๏ฟฝูŠุฏ ู„ู…ุง ุชูƒูˆู† ุฅุซู„ ู„ู…ุง ุชูƒูˆู† ููŠู†ู„ ููŠู†ูˆูƒุณุงูŠุฏ
1260
+
1261
+ 316
1262
+ 00:26:44,120 --> 00:26:48,200
1263
+ ููŠู†ูˆูƒุณุงูŠุฏ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุนู†ุฏูƒู… ููŠู†ู„ O minus
1264
+
1265
+ 317
1266
+ 00:26:56,450 --> 00:27:03,610
1267
+ Sodium phenoxide ู…ู† ุงู„ููŠู†ูˆู„ ุทุจุนุง
1268
+
1269
+ 318
1270
+ 00:27:03,610 --> 00:27:07,450
1271
+ ู„ูˆ ุจุฏู‰ ุงุฎุฏ ุงุณู… ุนุงู… ู„ูƒู„ ุงู„ ุงู„ูƒู„ูŠ ุฌุฑูˆุจ ูุงุณู…ูŠู‡ู…
1272
+
1273
+ 319
1274
+ 00:27:07,450 --> 00:27:14,550
1275
+ ุงู„ูƒูˆูƒุณุงูŠุฏุฒ ุงู„ูƒูˆูƒุณุงูŠุฏุฒ ู…ุซู„ ู…ูŠุซูˆูƒุณุงูŠุฏุฒ ุงุซูˆูƒุณุงูŠุฏุฒ
1276
+
1277
+ 320
1278
+ 00:27:14,550 --> 00:27:15,710
1279
+ ุจุฑูˆุจูˆูƒุณุงูŠุฏุฒ
1280
+
1281
+ 321
1282
+ 00:27:19,470 --> 00:27:26,470
1283
+ ุดูˆ ุจุชุตูŠุฑ ุงุณู…ู‡ุงุŸ ุงู„ูƒูˆูƒุณุงูŠุฏ ุงู„ู‡ูˆ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุนุงู…ุฉุŒ
1284
+
1285
+ 322
1286
+ 00:27:26,470 --> 00:27:32,710
1287
+ ูˆุงุถุญุŸ ูุงู„ุงู† ุงู„ ุงู„ูƒูˆูƒุณุงูŠุฏ ุงู„ R O minus ู…ุน ุงู„ุตูˆุฏูŠูˆู…
1288
+
1289
+ 323
1290
+ 00:27:32,710 --> 00:27:37,830
1291
+ ุจูŠุชูƒูˆู† ู…ู† ุฎู„ุงู„ ุงู„ุชูุงุนู„ ู…ุน ุงู„ N A O H ูˆู„ุง ู…ุน ุงู„ N A
1292
+
1293
+ 324
1294
+ 00:27:37,830 --> 00:27:44,970
1295
+ ุงูˆ ุงู„ N A H ุงุฐุง ุงู„ูƒูˆูƒุณุงูŠุฏ ู„ุง ูŠู…ูƒู† ุงู† ูŠุชู… ุชุตูˆูŠุฑู‡ ู…ู†
1296
+
1297
+ 325
1298
+ 00:27:44,970 --> 00:27:50,290
1299
+ ุฎู„ุงู„ ุชูุงุนู„ ุงู„ูƒูˆูƒุณุงูŠุฏ ู…ุน ุงู„ุตูˆุฏูŠูˆู… ุงู„ู‡ูŠุฏุฑูˆูƒุณุงูŠุฏูˆุงุถุญุŸ
1300
+
1301
+ 326
1302
+ 00:27:50,290 --> 00:27:52,930
1303
+ ู…ุฑุงุช ุงู„ุทู„ุงุจ ุจูŠู„ุชู‚ู… ูˆูŠู‚ูˆู„ูˆุง ู…ู† ูˆุงู†ู‡ุง ุงู„ุณุคุงู„ ุจู†ูŠุฌูŠ
1304
+
1305
+ 327
1306
+ 00:27:52,930 --> 00:27:56,830
1307
+ ุจู†ู‚ูˆู„ู‡ู… ุงู„ู„ู‡ Sodium ethoxide can be formed from
1308
+
1309
+ 328
1310
+ 00:27:56,830 --> 00:28:01,010
1311
+ the reaction of ethanol with sodium hydroxide ู„ุฃ
1312
+
1313
+ 329
1314
+ 00:28:01,010 --> 00:28:04,970
1315
+ it can be formed from the reaction of ethanol with
1316
+
1317
+ 330
1318
+ 00:28:04,970 --> 00:28:11,150
1319
+ sodium itself ูŠุง Sodium ูŠุง Sodium Hydride ุงู„ู„ูŠ ู‡ู…
1320
+
1321
+ 331
1322
+ 00:28:11,150 --> 00:28:17,370
1323
+ very strong bases ุจุณ ู…ุงุจุตูŠุฑุด ู…ุน Sodium Hydroxide
1324
+
1325
+ 332
1326
+ 00:28:19,820 --> 00:28:23,800
1327
+ ุทุจุนุงู‹ุŒ ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูˆุงุถุญ ุนู†ุฏูƒู… .. ูŠุฌุจ ุฃู† ูŠูƒูˆู† ูˆุงุถุญ
1328
+
1329
+ 333
1330
+ 00:28:23,800 --> 00:28:28,080
1331
+ ุนู†ุฏูƒู… ุฅู† ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ุจุงูŠู†ุฉ ุนู„ู‰ ุงู„ู„ูˆุญ ุฃุถุนู
1332
+
1333
+ 334
1334
+ 00:28:28,080 --> 00:28:34,660
1335
+ ุชุดูŠ ููŠู‡ุง ุงู„ู€ ROH ูˆุงุถุญุŸ ุงู„ู€ ROH ู‡ูˆ ุงู„ู„ูŠ ู…ุง ุจุชูุนู„ุด
1336
+
1337
+ 335
1338
+ 00:28:34,660 --> 00:28:43,320
1339
+ ู…ุน ุงู„ู€ NaOH ู…ุงููŠุด ุชูุงุนู„ ROH ู…ุน ุงู„ู€ NaOH ู…ุงููŠุด
1340
+
1341
+ 336
1342
+ 00:28:43,320 --> 00:28:46,440
1343
+ ุชูุงุนู„ ุจูŠู†ู…ุง ุงู„ุชู„ุงุชุฉ ู‡ุฏูˆู„ุฉ
1344
+
1345
+ 337
1346
+ 00:28:51,760 --> 00:29:00,260
1347
+ AROH ูƒู„ู‡ู… ู…ุน ุงู„ู€ NaOH ุจุชูุนู„ ูˆุจูŠุนุทูˆุง ุงู„ุฃู…ู„ุงุญ
1348
+
1349
+ 338
1350
+ 00:29:00,260 --> 00:29:05,800
1351
+ ุงู„ู…ู†ุงุธุฑุฉ RS minus Na plus ุฃูˆ ARS minus Na plus ุฃูˆ
1352
+
1353
+ 339
1354
+ 00:29:05,800 --> 00:29:11,700
1355
+ ARO minus Na plus ูŠุนู†ูŠ ู„ู…ุง ู†ุญุท ููŠู†ูˆู„ ู…ุน ุณูˆุฏูŠูˆู…
1356
+
1357
+ 340
1358
+ 00:29:11,700 --> 00:29:16,980
1359
+ ู‡ูŠุฏุฑูˆูƒุณูŠุฏ ุจูŠุนุทูŠู†ุง ุณูˆุฏูŠูˆู… ููŠู†ูˆูƒุณูŠุฏ ุฒูŠ ุงู„ู…ูŠู‡ ููŠู† ุงู„ู€
1360
+
1361
+ 341
1362
+ 00:29:16,980 --> 00:29:22,590
1363
+ OH ู…ุซู„ุง ููŠู†ูˆู„ุฒุงุฏ NAOH ุจูŠุนุทูŠู†ุง ููŠู† ุงู„ O minus NA
1364
+
1365
+ 342
1366
+ 00:29:22,590 --> 00:29:29,350
1367
+ plus ุฒุงุฏ H2O ุญู…ุถ ุฒุงุฏ ู‚ุงุนุฏุฉ ู…ู„ุญ ุฒุงุฏ ู…ุงุก ุฅุฐู† ุงู„ูˆุญูŠุฏ
1368
+
1369
+ 343
1370
+ 00:29:29,350 --> 00:29:32,830
1371
+ ู…ู† ู‡ุฏูˆู„ ุงู„ุฃุฑุจุน ุงู„ู„ูŠ ุจุชูุนู„ุด ู…ุน ุงู„ sodium hydroxide
1372
+
1373
+ 344
1374
+ 00:29:32,830 --> 00:29:43,750
1375
+ ูˆู‡ูˆ ุงู„ุฃุถุนู ููŠู‡ู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ ROH ุชุนุจู†ุงูƒู…ุŸ
1376
+
1377
+ 345
1378
+ 00:29:47,430 --> 00:29:52,490
1379
+ ูˆ ู‡ูˆ ุงู„ุฃุถุนู ุฅุฐุง ุจุฏู†ุง ู†ู‚ุฑุฃู‡ุง ุจู‚ุฑุงุกุฉ .. ุจุฑูˆุงูŠุฉ ู‚ุงู„ูˆู†
1380
+
1381
+ 346
1382
+ 00:29:52,490 --> 00:29:57,790
1383
+ ุนู† ู†ุงูุน ูƒูŠู ุจู†ู‚ูˆู„ู‡ุงุŸ ูˆ ู‡ูˆ ุจุงู„ุณูƒูˆู† ุจุณ ุงู„ู„ูŠ ุจูŠู‚ุฑุฃูˆู‡
1384
+
1385
+ 347
1386
+ 00:29:57,790 --> 00:30:02,930
1387
+ ุจุงู„ุณูƒูˆู† ุจุงู„ุณูƒูˆู† ุจุฑูˆุงูŠุฉ ุฃุจูˆ ุนู…ุฑูˆ ุงู„ุจุตุฑ ูˆ ุจุฑูˆุงูŠุฉ
1388
+
1389
+ 348
1390
+ 00:30:02,930 --> 00:30:06,030
1391
+ ู‚ุงู„ูˆู† ุนู† ู†ุงูุน ู‚ุฑุงูŠุฉ ุฃุจูˆ ุนู…ุฑูˆ ุงู„ุจุตุฑ ูˆ ุจุฑูˆุงูŠุฉ ู‚ุงู„ูˆู†
1392
+
1393
+ 349
1394
+ 00:30:06,030 --> 00:30:11,190
1395
+ ุนู† ู†ุงูุน ูˆ ู‡ูˆ ุงู„ุนุฒูŠุฒูˆ ุงู„ุญูƒูŠู… ูˆุงุถุญุŸ ุจุณ ุจุญูุธ ุนู† ุนุงุตู…
1396
+
1397
+ 350
1398
+ 00:30:11,190 --> 00:30:18,330
1399
+ ูƒูŠู ุจุชู‚ุฑุฃูˆู‡ุงุŸ ูˆ ู‡ูˆูˆู‡ูˆ ู…ุนุงูƒู… ุฃูŠู†ู…ุง ูƒู†ุชู… ูˆู‡ูˆ ูˆูู‡ูˆ
1400
+
1401
+ 351
1402
+ 00:30:18,330 --> 00:30:26,030
1403
+ ูˆู„ุง ู‡ูˆ ู‡ุฏูˆู„ุฉ ุจูŠุฌูˆุง ุจุงู„ุถู…ุฉ ุนู†ุฏ ุญุงูุธู‡ ุจูŠุฌูˆุง ุจุงู„ุณูƒูˆู†
1404
+
1405
+ 352
1406
+ 00:30:26,030 --> 00:30:32,670
1407
+ ู†ุฑุฌุน ู„ู„ alcohol ุฒู…ุงู† ุชุนูˆู† ุงู„ุชุฑุจูŠุฉ ู‚ุงู„ูˆู„ู†ุง ู„ุงุฒู…
1408
+
1409
+ 353
1410
+ 00:30:32,670 --> 00:30:40,810
1411
+ ุชุฑุงูŠุญูˆุง ุงู„ุทู„ุงุจ ุดูˆูŠุฉ ุฅุฐุง ุญุณูŠุชู‡ู… ุชุนุจูˆุง preparation
1412
+
1413
+ 354
1414
+ 00:30:40,810 --> 00:30:42,190
1415
+ of ethanol
1416
+
1417
+ 355
1418
+ 00:30:45,280 --> 00:30:49,920
1419
+ ุนู„ู‰ ุฃูŠ ุญุงู„ .. ู‡ุฐุง ุงู„ู€ Ethanol ุงู„ุญู‚ูŠู‚ุฉ ุจูŠู…ุซู„ ..
1420
+
1421
+ 356
1422
+ 00:30:49,920 --> 00:30:56,060
1423
+ ุจูŠู…ุซู„ ู…ุดูƒู„ุฉ ุงู„ู€ Ethanol ุจูŠู…ุซู„ ู…ุดูƒู„ุฉ ู„ูŠุด ุจูŠู…ุซู„
1424
+
1425
+ 357
1426
+ 00:30:56,060 --> 00:31:01,940
1427
+ ู…ุดูƒู„ุฉ ุงู„ู€ EthanolุŸ ู„ุฃู† ุงู„ู€ Ethanol ุฒูŠู‡ .. ุฎู„ู‘ูŠู†ูŠ
1428
+
1429
+ 358
1430
+ 00:31:01,940 --> 00:31:06,020
1431
+ ุฃุดุงุจู‡ ุจุงู„ุธุจุท ุฒูŠู‡ .. ุฒูŠ ุงู„ุณูƒูŠู†ุฉ ุงู„ุณูƒูŠู†ุฉ ู„ุงุจุฏ ู…ู†
1432
+
1433
+ 359
1434
+ 00:31:06,020 --> 00:31:10,740
1435
+ ูˆุฌูˆุฏู‡ุง ููŠ ุงู„ู…ุทุจุฎ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูˆุงู„ุณูƒูŠู†ุฉ ููŠ ุฐุงุช
1436
+
1437
+ 360
1438
+ 00:31:10,740 --> 00:31:16,370
1439
+ ุงู„ูˆู‚ุช ู‚ุงุชู„ุฉูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ุจุฏู‡ ูŠุณุชุนู…ู„ ุงู„ุณูƒูŠู†ุฉ ู„ุบูŠุฑ
1440
+
1441
+ 361
1442
+ 00:31:16,370 --> 00:31:19,790
1443
+ ุงู„ุบุฑุถ ุงู„ุฃุณุงุณูŠ ุงู„ู„ูŠ ู‡ูˆ ุบุฑุถ ุงู„ุชู‚ุทูŠุน ูˆ ุงู„ุฃุดูŠุงุก ุงู„ู„ูŠ
1444
+
1445
+ 362
1446
+ 00:31:19,790 --> 00:31:23,890
1447
+ ููŠ ุงู„ู…ุทุจุฎ ู‡ุฐู‡ ุจูŠุฑูˆุญ ุจูŠุณุชุนู…ู„ู‡ุง ุจุฌุฑูŠู…ุฉ ู†ูƒุฑุงุกุŒ ุงู„ุขู†
1448
+
1449
+ 363
1450
+ 00:31:23,890 --> 00:31:29,250
1451
+ ู‡ู„ ุจุฏู†ุง ู†ุบุถุจ ุนู„ู‰ .. ุจุฏู†ุง ู†ุบุถุจ ุนู„ู‰ ุงู„ุณูƒูŠู†ุฉุŸ ูˆู„ุง
1452
+
1453
+ 364
1454
+ 00:31:29,250 --> 00:31:32,590
1455
+ ุจุฏู†ุง ู†ุบุถุจ ุนู„ู‰ ุงู„ูุฑุฏ ุงู„ู„ูŠ ุจูŠุณุชุนู…ู„ ุงู„ุณูƒูŠู†ุฉ ุงุณุชุนู…ุงู„
1456
+
1457
+ 365
1458
+ 00:31:32,590 --> 00:31:36,830
1459
+ ุฎุงุทุฆ ุนู„ู‰ ุงู„ูุฑุฏุŸ ูˆู‡ุฐุง ุจุงู„ุธุจุท ุงู„ู€ Ethanol ุงู„ู€
1460
+
1461
+ 366
1462
+ 00:31:36,830 --> 00:31:41,970
1463
+ Ethanol ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒุญูˆู„ ุงู„ุฃุณุงุณูŠ ุงู„ู„ูŠ ูŠูˆุฌุฏ ููŠ ุงู„ุฎู…ุฑ
1464
+
1465
+ 367
1466
+ 00:31:43,120 --> 00:31:48,500
1467
+ ูˆุงุถุญุŸ ุงู„ุงู† ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช ุงู„ ethanol ู‡ูˆ ุงู„ู…ุฐูŠุจ
1468
+
1469
+ 368
1470
+ 00:31:48,500 --> 00:31:52,800
1471
+ ุงู„ุฃุณุงุณูŠ ุงู„ุฐูŠ ุชู‚ูˆู… ุนู„ูŠู‡ ุงู„ุตู†ุงุนุฉ ุงู„ูƒูŠู…ูŠุงุฆูŠุฉ ุจู…ุนู†ู‰
1472
+
1473
+ 369
1474
+ 00:31:52,800 --> 00:31:57,860
1475
+ ุฃู†ุง ู„ุบุฑุถ ุงู„ุตู†ุงุนุฉ ุงู„ูƒูŠู…ูŠุงุฆูŠุฉ ู…ุญุชุงุฌ ุงู„ ethanol ูˆ
1476
+
1477
+ 370
1478
+ 00:31:57,860 --> 00:32:03,940
1479
+ ู…ุญุชุงุฌู‡ ูŠูƒูˆู† ู…ุชูˆูุฑ ูˆ ู…ุญุชุงุฌู‡ ูŠูƒูˆู† ุฑุฎูŠุต ูˆ ุจุฐุงุช ุงู„ูˆู‚ุช
1480
+
1481
+ 371
1482
+ 00:32:03,940 --> 00:32:09,100
1483
+ ุฅุฐุง ุจุฏุฃุชุด ุฃู‚ูˆู„ ุงู„ ethanol ู„ู„ุดุฑุจ ู…ุจุงุดุฑุฉ ุจูŠุนู…ู„ ุงู„ู„ูŠ
1484
+
1485
+ 372
1486
+ 00:32:09,100 --> 00:32:14,790
1487
+ ู‡ูˆ ุงู„ุฅุณูƒุงุฑ ูˆ ุงู„ุฎู…ุฑุฎู…ุฑ ุงู„ุฏู†ูŠุง ู…ุด ููŠู‡ุง ุฅูŠุซุงู†ูˆู„ ูˆู„ุง
1488
+
1489
+ 373
1490
+ 00:32:14,790 --> 00:32:19,990
1491
+ ู„ุฃุŸ ุฃู†ู‡ูŠ ุงู„ุฎู…ุฑ ุงู„ู„ูŠ ู…ุด ููŠู‡ุง ุฅูŠุซุงู†ูˆู„ุŸ ุงู„ุฎู…ุฑ ุงู„ุขุฎุฑ
1492
+
1493
+ 374
1494
+ 00:32:19,990 --> 00:32:25,590
1495
+ ุงู„ู„ูŠ ู…ุด ููŠู‡ุง ุงู„ูƒุญูˆู„ุŸ ูˆุงู„ุขูŠุฉ ุฅูŠุด ุจุชู‚ูˆู„ุŸ ู„ุง ููŠู‡ุง ุบูˆู„
1496
+
1497
+ 375
1498
+ 00:32:25,590 --> 00:32:33,310
1499
+ ูˆู„ุง ู…ุนู†ุงู‡ .. ุงู„ุบูˆู„ ู‡ูˆ ุฅูŠุดุŸ ู„ุฃ ุงู„ุบูˆู„ ู‡ูˆ ุงู„ุงู„ูƒุญูˆู„
1500
+
1501
+ 376
1502
+ 00:32:33,310 --> 00:32:36,810
1503
+ ู„ู…ุง ุงู† ุดุงุก ุงู„ู„ู‡ ุจุชุชุฎุฑุฌ ูˆุงุญุฏุฉ ู…ู†ูƒ ูˆ ุจุชุฑูˆุญ ุชุฏุฑุณ ููŠ
1504
+
1505
+ 377
1506
+ 00:32:36,810 --> 00:32:42,890
1507
+ ุณุนูˆุฏูŠุฉ ุจุชู„ุงู‚ูŠ ุนู†ูˆุงู† ู‡ุฐุง ุงู„ูุตู„ ู…ุด ุงู„ูƒุญูˆู„ุงุชุงู„ุฃุบูˆุงู„
1508
+
1509
+ 378
1510
+ 00:32:42,890 --> 00:32:50,190
1511
+ ุฃู‡ ุงู„ุบูˆู„ ู‡ูˆ ุงู„ูƒุญูˆู„ ุจุงู„ุชุฑุฌู…ุฉ ุงู„ุนุฑุจูŠุฉ ุงู„ุบูˆู„ ู‡ูˆ
1512
+
1513
+ 379
1514
+ 00:32:50,190 --> 00:32:54,270
1515
+ ุงู„ูƒุญูˆู„ ูˆุจุงู„ุชุงู„ูŠ ู‡ู†ุงูƒ ููŠ ุงู„ูƒุชุจ ุงู„ู…ุฏุฑุณูŠุฉ ุจูŠูƒูˆู†ูˆุง
1516
+
1517
+ 380
1518
+ 00:32:54,270 --> 00:32:58,150
1519
+ ูƒุงุชุจูŠู† ูŠูˆุฌุฏ ุบูˆู„ ุจู†ุณุจุฉ ูƒุฐุง ูˆุงู„ุฃุบูˆุงู„ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ
1520
+
1521
+ 381
1522
+ 00:32:58,150 --> 00:33:03,350
1523
+ ุจู…ุนู†ู‰ ุงู„ูƒุญูˆู„ุงุช ูˆุงุถุญ ูุงู„ุฃู† ู‡ุฐุง ุงู„ุงุซุงู†ูˆู„ ุตุงุฑุช ููŠู‡
1524
+
1525
+ 382
1526
+ 00:33:03,350 --> 00:33:12,240
1527
+ ู…ุดูƒู„ุฉ ุงู†ู‡ ูƒุดุฑุจ ุญุฑุงู… ูƒุงุณุชุนู…ุงู„ ููŠ ุงู„ุตู†ุงุนุฉู„ุงุจุฏ ู…ู†ู‡
1528
+
1529
+ 383
1530
+ 00:33:12,240 --> 00:33:15,520
1531
+ ุทูŠุจ ุงู„ุฌู…ุงุนุฉ ุงู„ูƒูุงุฑ ู‡ุฏูˆู„ุฉ ูˆ ุงู„ู„ูŠ ุถุงู„ูŠู† ูˆ ุงู„ู„ูŠ
1532
+
1533
+ 384
1534
+ 00:33:15,520 --> 00:33:20,800
1535
+ ุจูŠุดุฑุจูˆุง alcohol ุนุงู…ู„ูŠู† ุตู†ุงุนุงุช ุถุฎู…ุฉ ู„ู„ุฎู…ูˆุฑ ูˆ ูŠู‚ูˆู…
1536
+
1537
+ 385
1538
+ 00:33:20,800 --> 00:33:25,600
1539
+ ุนู„ูŠู‡ุง ุงู‚ุชุตุงุฏ ุฏูˆู„ ูŠุนู†ูŠ ู…ุซู„ุง ุงู†ุง ุจุงุฐูƒุฑ ููŠ ุฃู„ู…ุงู†ูŠุง
1540
+
1541
+ 386
1542
+ 00:33:25,600 --> 00:33:30,040
1543
+ ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ูŠู…ุดูŠ ููŠ ุงู„ู‚ุทุงุฑ ุณุงุนุชูŠู† ุชู„ุงุชุฉ ูู‚ุท ูˆุณุท
1544
+
1545
+ 387
1546
+ 00:33:30,040 --> 00:33:36,530
1547
+ ุญู‚ูˆู„ ู…ู† ุงู„ุนู†ุงุจ ุจูŠุณู…ูˆู‡ vine trauben ุนู†ุงุจ ู„ู„ุฎู…ุฑุดูˆู
1548
+
1549
+ 388
1550
+ 00:33:36,530 --> 00:33:40,350
1551
+ ุฌุฏุงุด ูŠุนู†ูŠ ุฌุฒุก ูƒุจูŠุฑ ู…ู† ุตู†ุงุนุชู‡ู… ู…ุนุชู…ุฏ ุนู„ู‰ ุงู„ุฎู…ุฑ ูˆ
1552
+
1553
+ 389
1554
+ 00:33:40,350 --> 00:33:44,730
1555
+ ุงู„ู„ูŠ ุจุฏู‡ ูŠุนู…ู„ ุตู†ุงุนุฉ ูˆ ุจุฏู‡ ูŠูƒุณุจ ุจุฏู‡ ูŠุฌูŠุจ ูู„ูˆุณ ูƒุชูŠุฑุฉ
1556
+
1557
+ 390
1558
+ 00:33:44,730 --> 00:33:48,970
1559
+ ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช ู„ู…ุง ุฃู†ุง ุจุฏู‡ ุฃุณุชุนู…ู„ู‡ ูƒ solvent ูˆ ุฃุบุณู„
1560
+
1561
+ 391
1562
+ 00:33:48,970 --> 00:33:53,150
1563
+ ุฅูŠุฏูŠุง ููŠู‡ ุจุนุฏ ู…ุง ุฃุนู…ู„ ู…ุฒุฑุนุฉ ุจูƒุชูŠุฑูŠุง ูˆ ุฅุดูŠ ุจุฏูŠุงู‡
1564
+
1565
+ 392
1566
+ 00:33:54,280 --> 00:33:58,260
1567
+ ุฃุฑุฎูŠุต ุตุงุฑ ุนู†ุฏู‰ ู…ุดูƒู„ุฉ ู„ุฃู†ู‡ ุจุชุงุน ุตู†ุงุนุฉ ุงู„ุฎู…ุฑ ู„ู…ุง
1568
+
1569
+ 393
1570
+ 00:33:58,260 --> 00:34:03,300
1571
+ ุจูŠูƒูˆู† ุงู„ Ethanol ููŠ ุงู„ุฎู…ูˆุฑ ุจุฏู‡ ูŠูƒูˆู† ุบุงู„ูŠ ูŠุนู†ูŠ ู„ุชุฑ
1572
+
1573
+ 394
1574
+ 00:34:03,300 --> 00:34:06,660
1575
+ ุฎู…ุฑู‡ ุจุฏู‡ ูŠุจูŠุนู‡ ุจู‚ู‰ ุงุฑุจุนูŠู† ุฎู…ุณูŠู† ุดูƒู„ ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช
1576
+
1577
+ 395
1578
+ 00:34:06,660 --> 00:34:11,440
1579
+ ุฃู†ุง ู„ู…ุง ุจุฏูŠุงู‡ ููŠ ุงู„ู…ุนู…ู„ ุจุฏูŠุงู‡ ุฃุฑุฎูŠุต ู„ุฅู† ุฃู†ุง ุจุณุชุนู…ู„
1580
+
1581
+ 396
1582
+ 00:34:11,440 --> 00:34:15,000
1583
+ ูˆ ุจุบุณู„ ููŠู‡ ูˆ ุจูƒุจู‡ ูˆ ุจู†ุธู ููŠู‡ ุงู„ุฃุฏูˆุงุช ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ
1584
+
1585
+ 397
1586
+ 00:34:15,000 --> 00:34:19,870
1587
+ ุจุฏูŠุงู‡ ุจู‚ู‰ ุฃุฑุจุนุฉ ุดูƒู„ ู…ุซู„ุง ู„ุชุฑ ุจุณ ู…ุด ุฃูƒุชุฑุฃุฑุจุนุฉ ..
1588
+
1589
+ 398
1590
+ 00:34:19,870 --> 00:34:24,590
1591
+ ุชู„ุงุชุฉ .. ุฎู…ุณุฉ ุดูƒู„ .. ุญุณุจ ุงู„ุณุนุฑ ุทุจ ูƒูŠู ุจุฏูˆุง ูŠุญู„ูˆุง
1592
+
1593
+ 399
1594
+ 00:34:24,590 --> 00:34:30,030
1595
+ ู‡ุฐุง ุงู„ู…ุนุถู„ุฉุŸ ู‚ุงู„ูˆุง ุงุญู†ุง ู…ุณุชุนุฏูŠู† ู†ูˆูุฑู„ูƒู… ุฅูŠุซุงู†ูˆู„
1596
+
1597
+ 400
1598
+ 00:34:30,030 --> 00:34:34,710
1599
+ ู„ู„ุตู†ุงุนุฉ ุจุณ ุจุดุฑุท ู…ุง ุชุดุฑุจูˆู‡ูˆุด ูƒู„ ุงู„ู†ุงุณ ุจูŠู‚ูˆู„ okay
1600
+
1601
+ 401
1602
+ 00:34:34,710 --> 00:34:38,210
1603
+ ุฎู„ุงุต ุจู†ุดุฑุจูˆุด ูˆ ู…ู† ูˆุฑุง ู„ูˆุฑุง ุจูŠุฑูˆุญูˆุง ูŠุดุฑุจูˆุง .. ุฑุฎูŠุต
1604
+
1605
+ 402
1606
+ 00:34:38,210 --> 00:34:42,770
1607
+ ุฅูŠุด ุนู…ู„ูˆุงุŸ ุตุงุฑูˆุง ุงู„ุฅูŠุซุงู†ูˆู„ ุงู„ู„ูŠ ุจูŠูˆูุฑูˆุง ู„ู„ุตู†ุงุนุฉ
1608
+
1609
+ 403
1610
+ 00:34:42,770 --> 00:34:43,590
1611
+ ูŠุณู…ู…ูˆู‡
1612
+
1613
+ 404
1614
+ 00:34:46,070 --> 00:34:49,150
1615
+ ุตุงุฑูˆุง ูŠุณู…ู…ูˆุง ุงู„ู€ Ethanol ุชุจุน ุงู„ุตู†ุงุนุฉ ุฅุฐุง ุจุฏูƒ ุชุดุฑุจุŒ
1616
+
1617
+ 405
1618
+ 00:34:49,150 --> 00:34:52,510
1619
+ ุจุฏูƒ ุชุดุฑุจ ู…ู† ุงู„ุบุงู„ูŠ ูุงู„ู€ Ethanol ุชุจุน ุงู„ุตู†ุงุนุฉ
1620
+
1621
+ 406
1622
+ 00:34:52,510 --> 00:34:56,330
1623
+ ุจูŠุณู…ู…ูˆู‡ุŒ ุจูŠุณู…ู…ูˆู‡ ุจุฅูŠุดุŸ ุจุงู„ู€ Methanol ุงู„ู€ Methanol
1624
+
1625
+ 407
1626
+ 00:34:56,330 --> 00:35:01,250
1627
+ ู…ุงุฏุฉ ุณุงู…ุฉ ุชุคุฏูŠ ู„ู„ุนู…ู‰ ุจุณ ุจู†ุถูŠู ุนู„ูŠู‡ ุดูˆูŠุฉ Methanol
1628
+
1629
+ 408
1630
+ 00:35:01,250 --> 00:35:07,450
1631
+ ุจุณ ุงู„ู€ EthanolุŒ ุจูŠุถูŠููˆุง ุนู„ูŠู‡ MethanolุŒ ุจูŠุตูŠุฑ ู…ุณู…ู…
1632
+
1633
+ 409
1634
+ 00:35:07,450 --> 00:35:12,750
1635
+ ุฃูˆ ุจุงู„ุชุงู„ูŠุŒ ู„ูˆ ุฃูŠ ู†ุงุณ ู…ู† .. ุงู†ู‚ุทุน ุฃูˆ ูŠูŠุฌูŠ ูŠุดุฑุจูˆุง
1636
+
1637
+ 410
1638
+ 00:35:12,750 --> 00:35:15,810
1639
+ Ethanol ู…ู† ุงู„ู…ุนู…ู„ุŒ ู…ุงุจู†ูุนุดุŒ ุจุชุณู…ู…ู‡ุŒ ุจูŠุฃุซุฑ ุนู„ู‰ ..
1640
+
1641
+ 411
1642
+ 00:35:16,930 --> 00:35:21,030
1643
+ ุจุดูƒู„ ุฃุณุงุณูŠ ุนู„ู‰ ุนูŠูˆู† ุนู†ุฏู‡ู… ูˆ ุจูŠู‚ูˆู„ูˆุง ุฃู† ุฃูƒุชุฑ ู†ุงุณ
1644
+
1645
+ 412
1646
+ 00:35:21,030 --> 00:35:25,210
1647
+ ุงุชุฃุซุฑูˆุง ุจุงู„ูƒู„ุงู… ุงู„ุฌูŠุด ุงู„ุฃู„ู…ุงู†ูŠ ู„ู…ุง ุงู†ู‚ุทุน ูˆ ุดุฑุจูˆุง
1648
+
1649
+ 413
1650
+ 00:35:25,210 --> 00:35:29,150
1651
+ ุฃุดูŠุงุก ููŠู‡ุง ู…ูŠุซุงู†ูˆู„ ููŠ ุงู„ู†ู‡ุงูŠุฉ ูˆ ุงุชุฃุฐูˆุง ุจุนูŠู†ูŠู‡ู…
1652
+
1653
+ 414
1654
+ 00:35:29,150 --> 00:35:35,700
1655
+ ูˆุงุถุญุŸูู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุงู„ู…ูˆุถูˆุน ุฃู†ูƒู… ุชุนุฑููˆุง ุฃู†
1656
+
1657
+ 415
1658
+ 00:35:35,700 --> 00:35:40,220
1659
+ ุงู„ุงุซุงู†ูˆู„ ุณู„ุงุญ ุฏูˆุญุฉ ุงู„ุฏู†ูŠุงุŒ ููŠ ุงู„ุฎู…ุฑ ุญุฑุงู…ุŒ ุจุณ ููŠ
1660
+
1661
+ 416
1662
+ 00:35:40,220 --> 00:35:44,060
1663
+ ุงู„ุตู†ุงุนุฉ ู„ุงุจุฏ ู…ู†ู‡ุŒ ูŠุนู†ูŠ ู‡ูˆ ุงู„ solvent ุงู„ู„ูŠ ุจู†ุดุชุฑูŠ
1664
+
1665
+ 417
1666
+ 00:35:44,060 --> 00:35:47,700
1667
+ ููŠู‡ ุงู„ุชูุงุนู„ุงุชุŒ ูŠุนู†ูŠ ุงุญู†ุง ุญุชู‰ ููŠ ุงู„ุฌุงู…ุนุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ
1668
+
1669
+ 418
1670
+ 00:35:47,700 --> 00:35:51,060
1671
+ ู„ุง ู†ุถูŠุน ุณุฑุง ู„ู…ุง ู†ู‚ูˆู„ูƒู… ุจู†ุดุชุฑูŠ ุงู„ุงุซุงู†ูˆู„ ุจุงู„ุจุฑุงู…ูŠู„
1672
+
1673
+ 419
1674
+ 00:35:57,680 --> 00:36:02,460
1675
+ ู‡ูˆ ุงู„ูˆุณุท ุงู„ู„ูŠ ุจู†ุนู…ู„ ููŠู‡ ุงู„ุชูุงุนู„ุงุชุŒ ูŠุนู†ูŠ ู„ุงุจุฏ ู…ู†ู‡ุŒ
1676
+
1677
+ 420
1678
+ 00:36:02,460 --> 00:36:09,310
1679
+ ู„ุงุจุฏ ู…ู†ู‡ุŒ ูˆุงุถุญุŸ ุงู„ุขู† ุงู„ุงุซุงู†ูˆู„ ูƒูŠู ุจูŠุญุถุฑูˆู‡ุŸุจุญุถุฑูˆู‡
1680
+
1681
+ 421
1682
+ 00:36:09,310 --> 00:36:13,750
1683
+ ุจุงู„ุชุฎู…ูŠุฑุŒ ุจู†ุฌูŠุจ ุงู„ุณูƒุฑูŠุงุช ูˆ ุจูˆุงู‚ูŠ ุงู„ู‚ุตุจ ุฃูˆ ุงู„ู†ุดูˆูŠุงุช
1684
+
1685
+ 422
1686
+ 00:36:13,750 --> 00:36:17,730
1687
+ ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ูˆ ุจูŠุนู…ู„ูˆุง ุฅูŠุดุŸ ุชุฎู…ูŠุฑ ุงู„ุชุฎู…ูŠุฑ ุจุฅูŠุดุŸ
1688
+
1689
+ 423
1690
+ 00:36:17,730 --> 00:36:22,830
1691
+ ุจูƒุงุฆู†ุงุช ุญูŠุฉุŒ ุฏู‚ูŠู‚ุฉุŒ ุฎู…ูŠุฑุฉ ู‡ู†ุง ุจูŠุฌูŠู†ุง ุงู„ุชู†ุงู‚ุถ ุฌุฏูŠุฏ
1692
+
1693
+ 424
1694
+ 00:36:24,160 --> 00:36:28,720
1695
+ ุฅู†ู‡ ุฅุญู†ุง ุจู†ู‚ูˆู„ูƒูˆุง ู„ู…ุง ุจุชุนู…ู„ูˆุง ู…ุฒุฑุนุฉ ุจูƒุชูŠุฑูŠุง ุจุนุฏ ู…ุง
1696
+
1697
+ 425
1698
+ 00:36:28,720 --> 00:36:32,220
1699
+ ุชุฎู„ุตูˆุง ุบุณู„ู‡ ุจุงู„ุฅูŠุซุงู†ูˆู„ุŒ ุงู„ุฅูŠุซุงู†ูˆู„ ุจู‚ุชู„ ุงู„ุจูƒุชูŠุฑูŠุงุŒ
1700
+
1701
+ 426
1702
+ 00:36:32,220 --> 00:36:35,600
1703
+ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูˆุงู„ุจูƒุชูŠุฑูŠุง ูƒุงุฆู†ุงุช ุญูŠุฉ ุฏู‚ูŠู‚ุฉุŒ ุจุนุฏ
1704
+
1705
+ 427
1706
+ 00:36:35,600 --> 00:36:41,420
1707
+ ุดูˆูŠุฉ ุจู†ูŠุฌูŠ ุจู†ู‚ูˆู„ูƒูˆุง ุงู„ุฅูŠุซุงู†ูˆู„ ุจุชุญุถุฑ ู…ู† ุงู„ุจูƒุชูŠุฑูŠุง
1708
+
1709
+ 428
1710
+ 00:36:41,420 --> 00:36:45,920
1711
+ ูˆู…ู† ุงู„ุฎู…ูŠุฑุฉุŒ ุทุจ ู…ุง ู‡ูˆ ุจู‚ุชู„ ุงู„ุจูƒุชูŠุฑูŠุง ูˆ ุงู„ุฎู…ูŠุฑุฉุŒ
1712
+
1713
+ 429
1714
+ 00:36:45,920 --> 00:36:52,780
1715
+ ูƒูŠู ุจุฏูˆ ูŠุตูŠุฑุŸ ุฅู†ู‡ ุฃู†ุง ุจู‚ุฏุฑ ุฃุนู…ู„ ุชุฎู…ูŠุฑูˆ ุฃุญุถุฑูˆุง ูˆ ู‡ูˆ
1716
+
1717
+ 430
1718
+ 00:36:52,780 --> 00:37:00,000
1719
+ ุงู„ู‚ุงุชู„ ุจูŠู‚ูˆู„ูˆุง ุฃู† ุงู„ุชุฎู…ูŠุฑ ุจุณ ู„ุญุฏ ู†ุณุจุฉ ุญูˆุงู„ 12% ุจุญุฏ
1720
+
1721
+ 431
1722
+ 00:37:00,000 --> 00:37:05,160
1723
+ ุฃู‚ุตู‰ 15% ุจุชุทู„ุน ุงู„ูƒุญูˆู„ ุจุนุฏ ู‡ูŠูƒ ู„ูˆ ุจุฏุช ุฒูŠุฏ ู†ุณุจุฉ
1724
+
1725
+ 432
1726
+ 00:37:05,160 --> 00:37:10,200
1727
+ ุงู„ูƒุญูˆู„ ุจุชู‚ุชู„ ุงู„ูƒุงุฆู†ุงุช ุงู„ุญูŠุงุฉ ุงู„ุฏู‚ูŠู‚ุฉ ู…ู„ุงุญุธูŠู†ุŸ ุทูŠุจ
1728
+
1729
+ 433
1730
+ 00:37:10,200 --> 00:37:17,990
1731
+ ู„ูˆ ุดูุชูˆุง ุฎู…ุฑุฉ ููŠู‡ุง ู†ุณุจุฉ ุงู„ุงุซุงู†ูˆู„ 70%ูƒูŠู ุจุฏูˆ ูŠุตูŠุฑ
1732
+
1733
+ 434
1734
+ 00:37:17,990 --> 00:37:22,050
1735
+ ู‡ุฐุง ุงู„ูƒู„ุงู…ุŸ ู‡ู„ ุชู… ู‡ุฐุง ุงู„ู€ Ethanol ูˆุตู„ุช ู„ู†ุณุจุฉ 70%
1736
+
1737
+ 435
1738
+ 00:37:22,050 --> 00:37:26,890
1739
+ ู…ู†ู‡ ุจุงู„ุชุฎู…ูŠุฑุŸ ุงู„ุชุฎู…ูŠุฑุŒ ู„ุญุฏ 4-5% ุงู„ูƒุงุฆู†ุงุช ุงู„ุญูŠุงุฉ
1740
+
1741
+ 436
1742
+ 00:37:26,890 --> 00:37:32,910
1743
+ ุจุชุจู‚ู‰ ุนุงูŠุดุฉ ูˆุจุชุนู…ู„ ุงู„ุชุฎู…ูŠุฑุŒ ู„ุญุฏ 12% ู†ู‚ูˆู„ ุจุนุฏ ู‡ูŠูƒุŒ
1744
+
1745
+ 437
1746
+ 00:37:32,910 --> 00:37:37,290
1747
+ ุฅุฐุง ุฒุงุฏ ุงู„ูƒุญูˆู„ุŒ ุฅุฐุง ุนู…ู„ุช ูƒุญูˆู„ ุฃูƒุชุฑุŒ ู‡ุชู‚ุชู„ ู†ูุณู‡ุง
1748
+
1749
+ 438
1750
+ 00:37:38,110 --> 00:37:42,810
1751
+ ู„ุนุฏุฏ 12% ู„ู€ 15% ุจุนุฏ ุฐู„ูƒ ูŠุชูˆู‚ู ุงู„ุชุฎู…ูŠุฑ ุทุจ ู„ูˆ ูƒุงู†
1752
+
1753
+ 439
1754
+ 00:37:42,810 --> 00:37:46,530
1755
+ ููŠู‡ ุฎู…ูˆุฑ ู…ู† ุงู„ุฃู†ูˆุงุน ุงู„ู„ูŠ ููŠู‡ุง ุงู„ุงุซุงู†ูˆู„ ุนุงู„ูŠ 40% ูˆ
1756
+
1757
+ 440
1758
+ 00:37:46,530 --> 00:37:51,630
1759
+ 50% ูˆ 60% ุงู„ูˆูŠุณูƒูŠ ูˆ ุงู„ .. ูƒูŠู ู‡ุฐุง ุงู„ูƒู„ุงู… ุจูŠุตูŠุฑุŸ
1760
+
1761
+ 441
1762
+ 00:37:51,630 --> 00:37:55,630
1763
+ ุจูŠุถูŠููˆุง ุงุซุงู†ูˆู„ ุฅุถุงูุฉ ุนู„ูŠู‡ุง ูŠุนู†ูŠ ู„ู…ุง ุจูŠุนู…ู„ูˆุง ุงู„
1764
+
1765
+ 442
1766
+ 00:37:55,630 --> 00:38:01,210
1767
+ fermentation ุงู„ุชุฎู…ูŠุฑ ู„ู„ููˆุงูƒู‡ ุจูŠุตูŠุฑ ู„ุญุฏ ุจูˆุงู‚ูŠ
1768
+
1769
+ 443
1770
+ 00:38:01,210 --> 00:38:04,290
1771
+ ุงู„ููˆุงูƒู‡ ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ู…ุน ุงู„ูƒุญูˆู„ุฉ ุฏู‡ ุจูŠู…ุซู„ ุงู„ุฎู…ุฑุฉ
1772
+
1773
+ 444
1774
+ 00:38:04,290 --> 00:38:11,270
1775
+ ู„ูƒู† ู‡ู… ุจูŠุฒูŠุฏูˆุง ู†ุณุจุฉุฃู‡ ุงู„ Ethanol ุจูŠุถูŠููˆุง ุฅุถุงูุฉ ุจุณ
1776
+
1777
+ 445
1778
+ 00:38:11,270 --> 00:38:16,990
1779
+ ู…ุงููŠุด ุชุฎู…ูŠุฑ ุจูŠูˆุตู„ู†ุง ู„ 70 ูˆ 80% Ethanol ูุงู„ุฎู…ูˆุฑ ุฐุงุช
1780
+
1781
+ 446
1782
+ 00:38:16,990 --> 00:38:22,310
1783
+ ุงู„ู…ุญุชูˆู‰ ุงู„ุนุงู„ูŠ ู…ู† ุงู„ูƒุญูˆู„ ุจูŠูƒูˆู† ุงู„ูƒุญูˆู„ ุฅูŠุด ู…ุงู„ู‡ุŸ
1784
+
1785
+ 447
1786
+ 00:38:22,310 --> 00:38:26,030
1787
+ ุฃุถูŠู ุฅู„ู‡ุง ุฅุถุงูุฉ ู…ู† ุงู„ุฎุงุฑุฌ
1788
+
1789
+ 448
1790
+ 00:38:29,090 --> 00:38:33,510
1791
+ ุจู‚ุทุฑู‡ .. ุงู‡ ุงู‡ ู†ูุณ ุงู„ุฎู…ูˆุฑ ู„ู…ุง ุจุฏู‡ ู…ู„ูƒู‡ ุงู„ู…ุงุก ุงู†ุง
1792
+
1793
+ 449
1794
+ 00:38:33,510 --> 00:38:37,610
1795
+ ูƒูŠู ุจุนู…ู„ .. ูŠุนู†ูŠ ุงู†ุง ุจุนู…ู„ ุงู„ุชุฎู…ูŠุฑ ูˆ ุจุนุฏูŠู† ุจุนู…ู„
1796
+
1797
+ 450
1798
+ 00:38:37,610 --> 00:38:40,910
1799
+ ุชู‚ุฏูŠุฑ .. ุงู„ุชู‚ุฏูŠุฑ ุจุทู„ู‚ ู„ู„ุฅูŠุซุงู†ูˆู„ ู„ุญุงู„ู‡ .. ุงู„ุชู‚ุฏูŠุฑ
1800
+
1801
+ 451
1802
+ 00:38:40,910 --> 00:38:44,370
1803
+ ุจุทู„ู‚ ู„ู„ุฅูŠุซุงู†ูˆู„ ู„ุญุงู„ู‡ .. ู‡ู†ุง ุจุฏูƒูˆุง ุชู†ุชุจู‡ูˆุง ู„ู†ู‚ุทุฉ
1804
+
1805
+ 452
1806
+ 00:38:44,370 --> 00:38:48,790
1807
+ ุจุฑุถู‡ ุฃุฑุฌูˆ ุฃู†ูƒูˆุง ุชูƒูˆู†ูˆุง ูุงู‡ู…ูŠู†ู‡ุง ูƒูˆูŠุณุฃู†ู‡ ุฅุฐุง
1808
+
1809
+ 453
1810
+ 00:38:48,790 --> 00:38:53,410
1811
+ ุงู„ุชุฎู…ูŠุฑ ุจูŠุทู„ู‘ุน ุฅู„ูŠ ุฅูŠุซุงู†ูˆู„ุŒ ูŠุนู†ูŠ ู„ูˆ ุญุทูŠุช ุนู†ุจ ุฃูˆ
1812
+
1813
+ 454
1814
+ 00:38:53,410 --> 00:38:58,730
1815
+ ุบูŠุฑู‡ ุฃุฑุจุนุŒ ุฎู…ุณ ุฃูŠุงู…ุŒ ุชู„ุช ุฃูŠุงู… ุจูŠุธุจุฏ ุฒูŠ ู…ุง ุจูŠู‚ูˆู„ูˆุง
1816
+
1817
+ 455
1818
+ 00:38:58,730 --> 00:39:03,050
1819
+ ุจูŠุทู„ู‘ุน ุฑุบูˆุฉ ูˆ ุจูŠุญูˆู„ ู„ุฅูŠุซุงู†ูˆู„ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุชุญูˆู„ ุฅู„ู‰
1820
+
1821
+ 456
1822
+ 00:39:03,050 --> 00:39:09,070
1823
+ ุฎู…ุฑ ุทูŠุจุŒ ุงู„ุขู† ุงู„ุณุคุงู„ ุจุฒู…ู‡ ุจุนุฏ ุชู„ุช ุฃูŠุงู… ุตุงุฑ ููŠ ู†ุณุจุฉ
1824
+
1825
+ 457
1826
+ 00:39:09,070 --> 00:39:13,390
1827
+ ุงุชู†ุงุดู ููŠ ุงู„ู…ูŠุฉ ูƒุญูˆู„ ูŠุง ุชุฑู‰ ู„ูˆ ุฅุฌูŠุช ู‚ูˆู„ุช ุจุนุฏ ุณุงุนุฉ
1828
+
1829
+ 458
1830
+ 00:39:14,620 --> 00:39:21,080
1831
+ ู…ุง ุจูŠุตูŠุฑุด .. ุจุชูƒูˆู† ููŠู‡ ู†ุณุจุฉ ุตุบูŠุฑุฉ ุฌุฏุง ู„ูƒู† ู„ูˆ ุณุฃู„ู†ุง
1832
+
1833
+ 459
1834
+ 00:39:21,080 --> 00:39:25,340
1835
+ ู†ูุณู†ุง ู‡ู„ ุงุญู†ุง ุจู†ุดุฑุจ ุนุตูŠุฑ ุงู„ุนู†ุจ ุจุนุฏ ุณุงุนุฉ ูˆ ุจุนุฏ ุณุงุนุฉ
1836
+
1837
+ 460
1838
+ 00:39:25,340 --> 00:39:30,600
1839
+ ูˆ ู†ุต ูˆ ุจุนุฏ ุณุงุนุชูŠู† ุฃูƒูŠุฏ ุฃู‡ ุงู„ู†ุงุณ ุจุชุนุตุฑ ุนู†ุงุจ ูˆ
1840
+
1841
+ 461
1842
+ 00:39:30,600 --> 00:39:34,560
1843
+ ุจุชุดุฑุจู‡ ูˆ ุญู„ุงู„ ูˆ ู…ุนุฑูˆู ุจุงู„ุตูŠุฑุฉ ุฃู†ู‡ ุจู†ุนุตุฑ ุงู„ุนู†ุงุจ ูˆ
1844
+
1845
+ 462
1846
+ 00:39:34,560 --> 00:39:39,060
1847
+ ุจู†ุดุฑุจ ุงู„ุนู†ุงุจ ุจู†ุนุตุฑ ุงู„ูŠูˆู… ุจู†ุดุฑุจู‡ ุจุณ ุจุนุฏ ุชู„ุช ุฃูŠุงู… ู„ุฃ
1848
+
1849
+ 463
1850
+ 00:39:40,370 --> 00:39:43,650
1851
+ ูˆุนุดุงู† ู‡ูŠูƒ ุจูŠู‚ูˆู„ูˆุง ุงู„ุฎู…ุฑ ู…ุง ุฎู…ุฑ ุงู„ุนู‚ู„ ู„ุฃู† ู„ุญุธุฉ ู…ุง
1852
+
1853
+ 464
1854
+ 00:39:43,650 --> 00:39:47,450
1855
+ ุจูŠุตู„ ู„ุฏุฑุฌุฉ ุนุงู„ูŠุฉ ู…ู† ุงู„ุชุฎู…ุฑุŒ ุฏุฑุฌุฉ ุนุงู„ูŠุฉ ู…ู† ุงู„ูƒุญูˆู„ุŒ
1856
+
1857
+ 465
1858
+ 00:39:47,450 --> 00:39:53,270
1859
+ ุจูŠุตูŠุฑ ุญุฑุงู… ู„ูƒู† ุฃูŠ ูุงูƒู‡ุฉ ุทุจูŠุนูŠุฉุŒ ู„ูˆ ุจุฏูŠ ุฃุชุฑูƒู‡ุงุŒ ุฃูŠ
1860
+
1861
+ 466
1862
+ 00:39:53,270 --> 00:39:57,450
1863
+ ุนุตูŠุฑุŒ ูƒูˆูƒุชูŠู„ ุทุจูŠุนูŠุŒ ุจุฏูŠ ุฃุชุฑูƒู‡ ููŠ ุงู„ู‡ูˆุงุก ุดูˆูŠุฉุŒ
1864
+
1865
+ 467
1866
+ 00:39:57,450 --> 00:40:00,770
1867
+ ุจูŠุจุฏุฃ ูŠุทู„ุน ูƒุญูˆู„ุŒ ู„ูˆ ุชุฑูƒุชู‡ ุฃุฑุจุนุŒ ุฎู…ุณ ุฃูŠุงู… ูˆ ุญุทุชู„ู‡
1868
+
1869
+ 468
1870
+ 00:40:00,770 --> 00:40:04,030
1871
+ ุฏุฑูˆู ู…ู†ุงุณุจุฉ ู…ู† ุงู„ุญุฑุงุฑุฉุŒ ูƒู„ ุฃู†ูˆุงุน ุงู„ูƒูˆูƒุชูŠู„ ุจุชุตูŠุฑ
1872
+
1873
+ 469
1874
+ 00:40:04,030 --> 00:40:10,270
1875
+ ุฎู…ุฑุฉูˆู„ุฐู„ูƒ ู„ุงุจุฏ ู…ู† ุฅูŠุดุŸ ู…ู† ุงู„ุญุฐุฑ ุงู„ุขู† ุงู„ุนู„ู…ุงุก ุญุฏุฏูˆุง
1876
+
1877
+ 470
1878
+ 00:40:10,270 --> 00:40:15,590
1879
+ ู†ุณุจุฉ ู‚ุงู„ูˆุง ุฅู† ู‡ู†ุงูƒ ู†ุณุจุฉ ุชุฎู…ุฑ ุทุจูŠุนูŠ ุฃู†ุง ู„ุง ุฃุณุชุบู†ูŠ
1880
+
1881
+ 471
1882
+ 00:40:15,590 --> 00:40:25,070
1883
+ ุนู†ู‡ุง ุฅุฐุง ูƒุงู†ุช ู†ุณุจุฉ ุงู„ alcohol ุฃู‚ู„ ู…ู† less than ุฃู‚ู„
1884
+
1885
+ 472
1886
+ 00:40:25,070 --> 00:40:33,110
1887
+ ู…ู† point five percent ู…ุด point oneู†ุต ุงู„ point one
1888
+
1889
+ 473
1890
+ 00:40:33,110 --> 00:40:37,670
1891
+ ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† point oh five percent ู„ุฌูŠุชู‡ุง ููŠ
1892
+
1893
+ 474
1894
+ 00:40:37,670 --> 00:40:44,070
1895
+ ุนุตูŠุฑ ู„ุง ูŠุนุชุจุฑ ู…ุณูƒุฑ ูˆูŠู…ูƒู† ุฃู† ูŠุดุฑุจ ุชุนุชุจุฑ ู†ุณุจุฉ ุทุจูŠุนูŠุฉ
1896
+
1897
+ 475
1898
+ 00:40:44,070 --> 00:40:47,730
1899
+ ู‡ุฐุง ุชุฎู…ุฑ ุทุจูŠุนูŠ ู„ุงุจุฏ ู…ู†ู‡ ูŠุนู†ูŠ ู„ูˆ ุจุนุฏ ู…ุง ุชู‚ุตุฑูˆุง
1900
+
1901
+ 476
1902
+ 00:40:47,730 --> 00:40:51,600
1903
+ ุงู„ุนู†ุงุจ ุฃุฑุจุน ุฎู…ุณ ุฏู‚ุงูŠู‚ ู‡ุชุดูˆููˆุง ู‡ูŠูƒ ู†ุณุจุฉุงู„ู†ุณุจุฉ
1904
+
1905
+ 477
1906
+ 00:40:51,600 --> 00:40:58,940
1907
+ ุงู„ู…ุณู…ูˆุญุฉ ุฃู† ุงู„ุชุฎู…ุฑ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† 0
1908
+
1909
+ 478
1910
+ 00:40:58,940 --> 00:41:02,560
1911
+ .001 ุฅูŠุซุงู†ูˆู„
1912
+
1913
+ 479
1914
+ 00:41:15,950 --> 00:41:20,950
1915
+ ูุงู„ู†ุณุจุฉ ุฃูˆ ุงู„ุญุฏ ุงู„ู„ูŠ ุญุทูˆู„ ุนู„ู…ุงุก ุงู„ู…ุณู„ู…ูŠู† ุจุงู„ูู‚ู‡ุงุก
1916
+
1917
+ 480
1918
+ 00:41:20,950 --> 00:41:25,970
1919
+ ู…ุน ุชุจุนูˆู† ุงู„ุฃุบุฐูŠุฉ ุฃู† ุงู„ูƒุญูˆู„ ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ููŠ ุงู„ุนุตุงุฆุฑ
1920
+
1921
+ 481
1922
+ 00:41:25,970 --> 00:41:30,650
1923
+ ุงู„ุทุจูŠุนูŠุฉ ุนู† point 0.05% ุทุจ ุนู† point 0.05% ู†ุณุจุฉ
1924
+
1925
+ 482
1926
+ 00:41:30,650 --> 00:41:33,910
1927
+ ุงู„ุชุฎู…ุฑ ุทุจูŠุนูŠุฉุŒ ุชู†ุณูˆุด ุฃู† ุงู„ุฎู…ุฑุฉ ุจู†ุญูƒูŠ ุนู† ุนุดุฑุฉ
1928
+
1929
+ 483
1930
+ 00:41:33,910 --> 00:41:39,210
1931
+ ูˆุฎู…ุณุชุงุดุฑ ูˆุนุดุฑูŠู† ูˆุงู„ุฃู†ูˆุงุน ุงู„ุชุงู†ูŠุฉ ุณุชูŠู† ูˆุงุฑุจุนูŠู†ูˆุงุถุญุŸ
1932
+
1933
+ 484
1934
+ 00:41:39,210 --> 00:41:44,130
1935
+ ู„ูƒู† ู‡ุฐู‡ ู†ุณุจุฉ ุชุฎู…ุฑ ุทุจูŠุนูŠุŒ ู„ุง ุชุณุชุบู†ู‰ ุนู†ู‡ุง ุงู„ุญูŠุงุฉ
1936
+
1937
+ 485
1938
+ 00:41:44,130 --> 00:41:48,310
1939
+ ูŠุนู†ูŠุŒ ุบุตุจ ุนู†ู†ุงุŒ ู…ุด ุจุฎุงุทุฑู†ุง ุจุชุตูŠุฑ ููŠ ุงู„ุนูˆุงุตูŠุฑุŒ ู…ุด
1940
+
1941
+ 486
1942
+ 00:41:48,310 --> 00:41:51,890
1943
+ ุงุญู†ุง .. ุงู‡ ุจุณ ุจุฑุถู‡ ุงู„ุนู„ู…ุงุก ุจูŠู‚ูˆู„ูˆุง ุดุบู„ุฉุŒ ุงู† ู‡ุฐุง
1944
+
1945
+ 487
1946
+ 00:41:51,890 --> 00:41:55,750
1947
+ ุชูƒูˆู† ู†ุณุจุฉ ุทุจูŠุนูŠุฉุŒ ูŠุนู†ูŠ ู…ุด ุงู†ุง ุงุถูŠู ูƒุญูˆู„ุŒ ู„ุฃู†
1948
+
1949
+ 488
1950
+ 00:41:55,750 --> 00:41:58,670
1951
+ ุงู„ูƒุญูˆู„ ุจูŠุนุชุจุฑูˆู†ู‡ ู†ุฌุณุŒ ูŠุนู†ูŠ ู„ูˆ ุงู†ุง ุจุฏูŠ ุงุถูŠู ู†ูˆูƒ ุทู„ู‚
1952
+
1953
+ 489
1954
+ 00:41:59,450 --> 00:42:04,710
1955
+ ู„ูƒู† ุฅู†ู‡ ุนุตูŠุฑ ูˆุนู…ู„ ู†ุณุจุฉ ุตุบูŠุฑุฉ ุฃู‚ู„ ู…ู† ู‡ุฐู‡ ุงู„ู†ุณุจุฉ
1956
+
1957
+ 490
1958
+ 00:42:04,710 --> 00:42:11,830
1959
+ ู…ู‚ุจูˆู„ุŒ ู„ูƒู† ุฅู†ู‡ ูŠุถุงู ู…ุชุนู…ุฏุงู‹ุŒ ู„ุฃุŒ ูˆุงุถุญุŸ ู‡ุฐุง ุจุงู„ู†ุณุจุฉ
1960
+
1961
+ 491
1962
+ 00:42:11,830 --> 00:42:17,830
1963
+ ู„ู„ุฅูŠุซุงู†ูˆู„ุŒ ุจู†ุญุถุฑู‡ ู…ู† ุงู„ุชุฎู…ุฑุŒ ุจู‡ูŠูƒ ุชู‚ุฑูŠุจุง ุจู†ู†ู‡ูŠ
1964
+
1965
+ 492
1966
+ 00:42:17,830 --> 00:42:19,490
1967
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู…
1968
+
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/03GtMDqeTr8_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/0sNdGGE2F3c_postprocess.srt ADDED
@@ -0,0 +1,1976 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:11,260
3
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชู‡ูŠ ู…ู† ุงู„ูุตู„ ุงู„ุฎุงู…ุณ ุงู„ู…ุชุนู„ู‚
4
+
5
+ 2
6
+ 00:00:11,260 --> 00:00:17,080
7
+ ุจุงู„ Stereochemistry ูˆุฑุจู…ุง ุงูŠุถุง ู‡ู†ุง ูŠุนู†ูŠ ู†ุจุฏุฃ
8
+
9
+ 3
10
+ 00:00:17,080 --> 00:00:24,540
11
+ ุจุฅุนุทุงุก ู…ู‚ุฏู…ุฉ ู„ู„ูุตู„ ุงู„ุณุงุฏุณ ุฑุจู…ุง ู†ุจุฏุฃ ุจุฅุนุทุงุก ู…ู‚ุฏู…ุฉ
12
+
13
+ 4
14
+ 00:00:24,540 --> 00:00:31,060
15
+ ู„ู„ูุตู„ ุงู„ุณุงุฏุณ ุฃุฎุฏู†ุง ุงุญู†ุง ููŠ ุงู„ Stereochemistry ุงู„ู„ูŠ
16
+
17
+ 5
18
+ 00:00:31,060 --> 00:00:38,120
19
+ ู‡ูˆุชุนุฑูŠู ุงู„ู€ Stereoisomers ูˆุฃู†ูˆุงุนู‡ุง ุงู„ุฃุณุงุณูŠุฉ ุงู„ู„ูŠ
20
+
21
+ 6
22
+ 00:00:38,120 --> 00:00:41,140
23
+ ู‡ูŠ Enantiomers ูˆDiastereomers ูˆูƒูŠู ู†ุญุฏุฏ
24
+
25
+ 7
26
+ 00:00:41,140 --> 00:00:45,300
27
+ configuration ูˆูƒูŠู ู†ุนุฑู ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู…ุฑูƒุจูŠู† ู‡ู„ ู‡ู…ุง
28
+
29
+ 8
30
+ 00:00:45,300 --> 00:00:49,380
31
+ Enantiomers ุฃูˆ Diastereomers ุฃูˆ ู†ูุณ ุงู„ู…ุฑูƒุจ ู…ู† ุฎู„ุงู„
32
+
33
+ 9
34
+ 00:00:49,380 --> 00:00:54,020
35
+ ุฃู† ู†ุญุฏุฏ ุงู„ configuration ุฃุฎุฐู†ุง ุจุฑุถู‡ ุงู„ุฃู…ูˆุฑ
36
+
37
+ 10
38
+ 00:00:54,020 --> 00:00:56,920
39
+ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ physical ูˆ ุงู„ chemical properties
40
+
41
+ 11
42
+ 00:00:56,920 --> 00:01:01,040
43
+ ุฑุจู…ุง ู…ู† ุฃู‡ู…ู‡ุง ุฃู† ุงู„ physical properties ู„ู„
44
+
45
+ 12
46
+ 00:01:01,040 --> 00:01:07,230
47
+ Enantiomersู†ูุณ ุงู„ุดูŠุก ู…ุง ุนุฏุง ููŠ ุฎุงุตูŠุฉ ุงู„ rotation
48
+
49
+ 13
50
+ 00:01:07,230 --> 00:01:12,030
51
+ of a plane polarized ู„ุฃ direction of rotation
52
+
53
+ 14
54
+ 00:01:12,030 --> 00:01:17,850
55
+ ุงู„ูŠูˆู… ุจู†ุงุฎุฏ ุจุนุถ ุงู„ุชูุงุนู„ุงุช ู…ุชุนู„ู‚ุฉ ุจุงู„ stereo
56
+
57
+ 15
58
+ 00:01:17,850 --> 00:01:24,350
59
+ isomers ู‡ุชู„ุงุญุธูˆุง ูƒูŠู ุงู†ู‡ ุงู„ุนู„ู… ูƒูŠู ุงู†ู‡ ุงู„ุนู„ู…
60
+
61
+ 16
62
+ 00:01:24,350 --> 00:01:30,810
63
+ ุจูŠุถู„ูˆุง ูŠุชูˆุณุน ูŠุนู†ูŠ ุงู†ุชูˆุง ุจุชุชุนู„ู…ูˆุง ู†ู‚ุทุฉ ุตุญูŠุญุจุชุนุชู‚ุฏูˆุง
64
+
65
+ 17
66
+ 00:01:30,810 --> 00:01:35,570
67
+ ู„ู…ุง ุชุชุนู„ู…ูˆุง ุงู„ู†ู‚ุทุฉ ุงู†ู‡ ุฎู„ุงุต ูŠุนู†ูŠ ุฃุฎุฏู†ุง ูƒู„ ู…ุง ูŠุชุนู„ู‚
68
+
69
+ 18
70
+ 00:01:35,570 --> 00:01:41,110
71
+ ุจู‡ุฐุง ุงู„ู…ูˆุถูˆุน ู„ู„ุฃุณู ุงู†ู‡ ู…ุฑุงุช ุงุญู†ุง ู„ู…ุง ุจู†ุฏุฑุณูƒู…
72
+
73
+ 19
74
+ 00:01:41,110 --> 00:01:45,910
75
+ ุจู†ุถูˆูŠู„ูƒูˆุง ุนู„ู‰ ุฌุฒุก ู…ู† ุงู„ู…ุนู„ูˆู…ุฉ ุจู†ุนู„ู…ูƒูˆุง ุฅูŠุงู‡ุง ูˆ
76
+
77
+ 20
78
+ 00:01:45,910 --> 00:01:51,530
79
+ ุจู†ุฎููŠ ุฌุฒุก ุงู„ุขู† ูŠู…ูƒู† ุฅูŠุฌุง ูˆู‚ุช ุฃุดูŠุงุก ูƒู†ุชูˆุง ุชุนุชู‚ุฏูˆู‡ุง
80
+
81
+ 21
82
+ 00:01:51,530 --> 00:01:57,470
83
+ ุจุณูŠุทุฉ ุงุชู„ุงุญุธูˆุง ุงู†ู‡ ู‡ูŠ ู„ุฃ ู…ุด ุจู‡ุง ุงู„ุจุณุงุทุฉ ูˆุงุถุญุŸ
84
+
85
+ 22
86
+ 00:01:57,470 --> 00:02:03,390
87
+ ู‡ุชู„ุงุญุธูˆู‡ุง ู…ู† ุฎู„ุงู„ ุฅูŠุดุŸู…ู† ุฎู„ุงู„ ุชูุงุนู„ุงุช ุงู„ู…ุชุนู„ู‚ุฉ
88
+
89
+ 23
90
+ 00:02:03,390 --> 00:02:07,990
91
+ ุจุงู„ู€ Stereochemistry ุงู„ุชูุงุนู„ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุฏุฑุณู‡
92
+
93
+ 24
94
+ 00:02:07,990 --> 00:02:13,830
95
+ ุจู†ุณู…ูŠู‡ generation of a chiral center ูŠุนู†ูŠ ู…ุงูƒู†ุด ููŠ
96
+
97
+ 25
98
+ 00:02:13,830 --> 00:02:18,350
99
+ ุนู†ุฏูŠ ุฃู†ุง chiral centerุŒ ุจุฏุฃ ุฃุนู…ู„ ุชูุงุนู„ ุฃุตูŠุฑ chiral
100
+
101
+ 26
102
+ 00:02:18,350 --> 00:02:22,850
103
+ center ุฅูŠุด ู…ุนู†ู‰ ุงู„ุญูƒูŠุŸ ู…ุนู†ู‰ ุงู„ุญูƒูŠ ุฃู†ู‡ ู…ุงูƒู†ุด ููŠ
104
+
105
+ 27
106
+ 00:02:22,850 --> 00:02:28,400
107
+ ุนู†ุฏูŠ carbon ุนู„ูŠู‡ุง ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉู„ู…ุง ุจุฏู‰ ุงุนู…ู„
108
+
109
+ 28
110
+ 00:02:28,400 --> 00:02:32,540
111
+ ุชูุงุนู„ ุงู„ carbon ู‡ุฏู‰ ุจุฏู‰ ูŠุตูŠุฑ ุนู„ูŠู‡ุง ุงุฑุจุน ู…ุฌู…ูˆุนุงุช
112
+
113
+ 29
114
+ 00:02:32,540 --> 00:02:38,240
115
+ ู…ุฎุชู„ูุฉ ูุจุฏู‰ ูŠุตูŠุฑ ููŠ ุนู†ุฏู‰ chiral center ูˆุงุถุญุŸ ู…ู…ูƒู†
116
+
117
+ 30
118
+ 00:02:38,240 --> 00:02:43,340
119
+ ู†ุงุฎุฏ ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ูˆ ุฃุฎุฏุชู‡ ุชูุงุนู„ ุฃุฎุฏู†ุงู‡ ููŠ
120
+
121
+ 31
122
+ 00:02:43,340 --> 00:02:47,520
123
+ ุงู„ alkanes ู„ุจูŠูˆุชูŠู† ุงู„ุนุงุฏู‰ ู„ู…ุง ู†ุนู…ู„ู‡ chlorination
124
+
125
+ 32
126
+ 00:02:47,520 --> 00:02:52,440
127
+ ูƒู†ุง ู†ู‚ูˆู„ ู†ุนู…ู„ chlorination ุงุญู†ุง ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ูˆุนู„ู‰
128
+
129
+ 33
130
+ 00:02:52,440 --> 00:02:56,520
131
+ ู…ูˆู‚ุน ุงุชู†ูŠู†ู…ุตุจูˆุท ูˆู„ุง ู„ุฃุŸ ู„ู…ุง ู†ุฌูŠ ู†ุนู…ู„ ุงู„
132
+
133
+ 34
134
+ 00:02:56,520 --> 00:02:59,760
135
+ chlorineation ูˆ ู†ุญุท ููŠ ุงู„ุจูŠูˆุชูŠู† ุงู„ุงุฑุจุน ูƒุฑุจูˆู†ุงุช
136
+
137
+ 35
138
+ 00:02:59,760 --> 00:03:06,540
139
+ ู„ูƒู„ูˆุฑุฉ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏุŒ ู‡ู„ ุจู†ุนู…ู„ ูƒุงูŠุฑุงู„ ุณู†ุชุฑ ุฌุฏูŠุฏุŸ
140
+
141
+ 36
142
+ 00:03:06,540 --> 00:03:13,900
143
+ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู…ูˆู‚ุน ูˆุงุญุฏ CH3ูˆู…ุชุตู„ ุงู„ุจุงู‚ู‰ ุงู„ุฌุฒุก ู„ู…ุง ุงุดูŠู„
144
+
145
+ 37
146
+ 00:03:13,900 --> 00:03:21,220
147
+ ู…ู†ู‡ H ุจุตูŠุฑ CH2 ูˆCL ูˆู…ุชุตู„ ุงู„ุจุงู‚ู‰ ุงู„ุฌุฒุก ุงุฐุง ุตุงุฑ ุนู†ุฏู‰
148
+
149
+ 38
150
+ 00:03:21,220 --> 00:03:25,360
151
+ ุงุฑุจุน ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ู„ุฃ ูุงู†ุง ู„ูˆ ุงุนู…ู„ุช chlorination
152
+
153
+ 39
154
+ 00:03:25,360 --> 00:03:31,820
155
+ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ู…ุงุนู…ู„ุชุด generation ุงูˆ ุชูˆู„ูŠุฏ ู„ chiral
156
+
157
+ 40
158
+ 00:03:31,820 --> 00:03:35,980
159
+ center ุจุทู„ุน ุนู†ุฏู‰ one compound ุงู„ุงู† ู„ู…ุง ูƒู†ุง ู†ู‚ูˆู„ูƒู…
160
+
161
+ 41
162
+ 00:03:35,980 --> 00:03:39,420
163
+ ุงุนุทูˆู†ุง ู†ุงุชุฌ ุชุงู†ู‰ ูƒู†ุชูˆุง ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู„chloria ุจูŠุฌูŠ
164
+
165
+ 42
166
+ 00:03:39,420 --> 00:03:43,410
167
+ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏูŠุนู†ูŠ ู…ูˆู‚ุน ุงุชู†ูŠู† ุงุฐุง ูƒุงู… ู†ุชูŠุฌุฉ ุจูŠุทู„ุน
168
+
169
+ 43
170
+ 00:03:43,410 --> 00:03:49,850
171
+ ุนู†ุฏูƒ ุงุชู†ูŠู† ุงู„ุงู† ุฏุนู†ุง ู†ุฏุฑุณ ู…ูˆู‚ุน ุงุชู†ูŠู† ุจุงู„ุชูุตูŠู„ ู„ู…ุง
172
+
173
+ 44
174
+ 00:03:49,850 --> 00:03:53,010
175
+ ูŠุฌูŠ ุงู„ chlorine ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ู„ุงุญุธูˆุง ุงู†ุง ู…ูˆู‚ุน
176
+
177
+ 45
178
+ 00:03:53,010 --> 00:03:59,030
179
+ ุงุชู†ูŠู† ู…ุชุตู„ ุจ ู…ุซู„ ูˆ ุงุซู„ ูˆ ุงุชุด ูˆ ุงุชุด ู…ุธุจูˆุท ูˆู„ุง ู„ุง
180
+
181
+ 46
182
+ 00:03:59,030 --> 00:04:03,830
183
+ ุงู„ุงู† ู„ู…ุง ุงู†ุง ุจุฏูŠ ุงุดูŠู„ ูˆุงุญุฏุฉ ู…ู† ู‡ุฏูˆู„ ุงู„ hydrogens ูˆ
184
+
185
+ 47
186
+ 00:04:03,830 --> 00:04:08,050
187
+ ุงุญุท ุจุฏุงู„ู‡ุง chlorine ุดูˆู ุตุงุฑ ู…ูˆู‚ุน ุงุชู†ูŠู† ุตุงุฑ ุงุฑุจุน
188
+
189
+ 48
190
+ 00:04:08,050 --> 00:04:13,260
191
+ ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุตุงุฑ ูƒุงูŠุฑุงู„ุชู… ู„ุงุญุธูŠู†ุŸ ุฅุฐุง ุจู†ุชุฐูƒุฑ ูƒูŠู
192
+
193
+ 49
194
+ 00:04:13,260 --> 00:04:17,120
195
+ ูƒุงู†ุช ุงู„ุนู…ู„ูŠุฉ ุชู… ุญุณุจ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ู„ู„
196
+
197
+ 50
198
+ 00:04:17,120 --> 00:04:21,120
199
+ free radical substitution ุงู„ chlorine radical ุงู„ู„ูŠ
200
+
201
+ 51
202
+ 00:04:21,120 --> 00:04:24,840
203
+ ุจูŠุงุฎุฏ ุงู„ H ุจูŠุตูŠุฑ ุนู†ุฏูŠ methyl radical ู‡ุฐุง ุงู„ carbon
204
+
205
+ 52
206
+ 00:04:24,840 --> 00:04:31,830
207
+ radical ุงู„ู„ูŠ ู‡ูˆ ุญุงู…ู„ ู…ุฌู…ูˆุนุฉ CH3 ูˆ Ethan ูˆ Hู‡ุฐุง ุงู„
208
+
209
+ 53
210
+ 00:04:31,830 --> 00:04:38,230
211
+ radical ู…ูŠุฒุชู‡ ุงู† ู‡ูˆ planar ูƒูŠู ูŠุนู†ูŠ planarุŸ ุจู‡ุฐุง
212
+
213
+ 54
214
+ 00:04:38,230 --> 00:04:41,950
215
+ ุงู„ุดูƒู„ ู„ูˆ ุจุชุนู…ู„ู‡ model ุฃู†ุง ุฒูŠ ู…ุง ู‡ูˆ ู…ุฑุณูˆู… ุนู†ุฏูƒู… ุนู„ู‰
216
+
217
+ 55
218
+ 00:04:41,950 --> 00:04:47,930
219
+ ุงู„ู„ูˆุญ ุจู‡ุฐุง ุงู„ุดูƒู„ ุชู…ุงู…ุง ุทู„ุนูˆุง ุนู„ูŠู‡ ู‡ุงูŠ ุงู„ hydrogen
220
+
221
+ 56
222
+ 00:04:49,910 --> 00:04:56,650
223
+ ู…ุซู„ CH3 ูƒุฑุจูˆู†ุง ู‡ุงูŠ ุฅุซู„ CH2 CH3 ูˆ ู‡ุฐุง ุฅูŠุด ู…ุงู„ู‡ ุงู„
224
+
225
+ 57
226
+ 00:04:56,650 --> 00:05:00,050
227
+ planner ู„ุณู‡ ููŠ ู†ุต ุงู„ุทุฑูŠู‚ ุงู„ planner free radical
228
+
229
+ 58
230
+ 00:05:00,050 --> 00:05:05,810
231
+ ุงู„ุขู† ู‡ุฐู‡ ุงู„ูƒู„ูˆุฑ ูˆุงู‚ูุฉ ู‡ู†ุง ูˆ ุจุฏุฃ ุชูŠุฌูŠ ุชุชูุงุนู„ ููŠ ุนุฏุฉ
232
+
233
+ 59
234
+ 00:05:05,810 --> 00:05:11,230
235
+ ุงุญุชู…ุงู„ูŠู† ุฅู…ุง ุฃู† ุชุฃุชูŠ ู…ู† ุงู„ุฃู…ุงู… ูˆ ู‡ุฏูˆู„ุฉ ุจูŠุฑุชุฏูˆุง
236
+
237
+ 60
238
+ 00:05:11,230 --> 00:05:16,630
239
+ ู„ู„ุฎู„ู ุฃูˆ ุชุฃุชูŠ ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉุฅุฐุงู‹ ู„ุฃู† ู‡ุฐุง planner
240
+
241
+ 61
242
+ 00:05:16,630 --> 00:05:21,970
243
+ ู„ุฃู† ู‡ุฐุง ููŠ ู…ุณุชูˆู‰ ูˆุงุญุฏ ุงู„ูƒู„ูˆุฑ ุจูŠุตูŠุฑ ู„ุฅุญุชู…ุงู„ูŠู† ุนู†ุฏู‡ุง
244
+
245
+ 62
246
+ 00:05:21,970 --> 00:05:24,950
247
+ ู…ุชุณุงูˆูŠุงุช ูŠุง ุจุชูŠุฌูŠ ู…ู† ู‡ู†ุง ูŠุง ู…ู† ู‡ู†ุง ุฃูˆ ู„ูˆ ู…ุณูƒุชู‡ ุฒูŠ
248
+
249
+ 63
250
+ 00:05:24,950 --> 00:05:31,270
251
+ ู‡ูŠูƒ ู‡ุงูŠ ุงู„ูƒู„ูˆุฑ ุฅู…ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃูˆ ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุงุถุญ
252
+
253
+ 64
254
+ 00:05:31,270 --> 00:05:35,070
255
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุทุงู„ู…ุง ุงู„ูƒู„ูˆุฑ ุจูŠู…ูƒู†ู‡ุง ุชูŠุฌูŠ ู…ู† ุงู„ุฃู…ุงู… ูˆ
256
+
257
+ 65
258
+ 00:05:35,070 --> 00:05:38,490
259
+ ุงู„ุฎู„ู ุฃูˆ ู…ู† ุงู„ุฌู†ุจูŠู† ุจูŠู‚ุฏุฑ ุฅู„ู‰ ุชูƒูˆูŠู†
260
+
261
+ 66
262
+ 00:05:41,030 --> 00:05:44,650
263
+ to enantiomers ู„ู…ุง ุจุชู‚ูˆู„ ูˆุงุญุฏ ุงู„ูƒู„ูˆุฑ ููŠ ุจู‡ุฐุง ุงู„ุดูƒู„
264
+
265
+ 67
266
+ 00:05:44,650 --> 00:05:50,850
267
+ ูˆ ุงู„ุชุงู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงุชุฎูŠู„ู‡ู… ูƒุฃู†ู‡ู… ุตูˆุฑุฉ ู…ุฑุขุฉ ู„ุจุนุถ ูˆ
268
+
269
+ 68
270
+ 00:05:50,850 --> 00:05:55,370
271
+ ู…ู† ุงู„ุจุนุถ ุงูŠุด ุจุชู„ุงุญุธูˆุง ุงู†ู‡ ุนู†ุฏู‰ ุงุชูƒูˆู† to
272
+
273
+ 69
274
+ 00:05:55,370 --> 00:06:01,950
275
+ enantiomers ู…ุด ูˆุงุญุฏ ุงู„ุขู† ุงู„ุณุคุงู„ ุจุฃูŠ ู†ุณุจุฉ ู„ู…ุง ุชูƒูˆู†
276
+
277
+ 70
278
+ 00:06:01,950 --> 00:06:08,140
279
+ ู‡ุฐู‡ ุงู„ูƒู„ูˆุฑ ุจุนูŠุฏุฉ ูˆ ู‡ุฐุง ุจู„ุง ู†ุงุฑู‡ู„ ูŠุชุฑุงู‡ู‚ ู‡ุฐุง ุงู„ู…ูˆู‚ุน
280
+
281
+ 71
282
+ 00:06:08,140 --> 00:06:14,510
283
+ ู…ู† ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ุจูŠูุฑู‚ ุนู† ู‡ุฐุง ุงู„ู…ูˆู‚ุนุŸ ูƒุงุญุชู…ุงู„ุงุชู…ุงููŠุด
284
+
285
+ 72
286
+ 00:06:14,510 --> 00:06:19,050
287
+ ุฃูŠ ูุฑู‚ ุจูŠู† ู‡ุฏูˆู„ ุงู„ุงุญุชู…ุงู„ูŠู† ูˆู„ุฐู„ูƒ ุจุชูƒูˆู† ุงู„ู†ุณุจุฉ
288
+
289
+ 73
290
+ 00:06:19,050 --> 00:06:24,570
291
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุงู„ู‰ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ูˆุงุถุญุŸ ุฎู…ุณูŠู† ููŠ
292
+
293
+ 74
294
+ 00:06:24,570 --> 00:06:27,610
295
+ ุงู„ู…ูŠุฉ ุงู„ู‰ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู‡ุฐุง ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ ุงุญู†ุง ุงูŠุด
296
+
297
+ 75
298
+ 00:06:27,610 --> 00:06:35,150
299
+ ุฑุงุณู…ูƒ mixed chart ุฑุงุณู…ูƒ mixed chart ุงุฐุง ุนู…ู„ูŠุฉ
300
+
301
+ 76
302
+ 00:06:35,150 --> 00:06:39,930
303
+ ุงู„ุฅุจุฏุงู„ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ูƒุงู… ู†ุงุชุฌ ุจุชุทู„ุนู„ู‡ ู†ุงุชุฌูŠู† ู…ุด
304
+
305
+ 77
306
+ 00:06:39,930 --> 00:06:45,110
307
+ ู†ุงุชุฌ ูˆุงุญุฏูˆุงุถุญุŸ ุชู†ุณูˆุด ุฃู†ู‡ ุงู„ุฅุจุฏุงู„ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏุŒ
308
+
309
+ 78
310
+ 00:06:45,110 --> 00:06:48,670
311
+ ูƒุฏู‡ ูƒุงู† ูŠุทู„ุน ุนู„ูŠู‡ุŸ ู†ุงุชุฌ ูˆุงุญุฏุŒ ู„ุฃู†ู‡ ู…ุงุตุงุฑุด chiral
312
+
313
+ 79
314
+ 00:06:48,670 --> 00:06:53,390
315
+ center ุฅุฐุง ู„ูˆ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุณุฃู„ ู…ุฑุฉ ุฌุฏูŠุฏุฉุŒ ุงู„
316
+
317
+ 80
318
+ 00:06:53,390 --> 00:06:57,610
319
+ chlorineation ู„ู„ูŠ ุจูŠูˆุชูŠู† ุจุงู„ู…ุฌู…ู„ ูƒุงู… ู†ุงุชุฌ ุจูŠุทู„ุนุŸ
320
+
321
+ 81
322
+ 00:06:59,810 --> 00:07:05,030
323
+ ุชู„ุงุชุฉ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ู†ุงุชุฌ ูˆุงุญุฏ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ุจูŠุทู„ุน
324
+
325
+ 82
326
+ 00:07:05,030 --> 00:07:09,570
327
+ ู„ู„ R2-chlorobutane ูˆุงู„ S2-chlorobutane ุดูˆููˆุง ุฃู†ุง ูˆ
328
+
329
+ 83
330
+ 00:07:09,570 --> 00:07:13,210
331
+ R ูˆ ุฃู†ุง ูˆ S ุงู„ู…ู‡ู… ุงุชู†ูŠู† ุงุฐุง ุตุงุฑ ุงู„ู…ุฌู…ูˆุน ุชู„ุงุชุฉ
332
+
333
+ 84
334
+ 00:07:13,210 --> 00:07:16,370
335
+ ู„ุงุญุธูˆุง ุงุญู†ุง ูƒู†ุง ู†ู‚ูˆู„ ุงูŠุด ูƒู„ุงู… ู…ุชู†ุงู‚ุถ ูŠุนู†ูŠ ุงูˆู„ ู…ุง
336
+
337
+ 85
338
+ 00:07:16,370 --> 00:07:19,730
339
+ ูƒู†ุง ู†ุนู„ู…ูƒูˆุง ููŠ chapter ุชูุงุนู„ุงุช ุงู„ุงู„ูƒูŠู†ุฒ ูƒู†ุง
340
+
341
+ 86
342
+ 00:07:19,730 --> 00:07:24,240
343
+ ู†ู‚ูˆู„ูƒูˆุง ุจูŠุทู„ุน ุนู†ุฏูƒูˆุงtwo products one chlorobutane
344
+
345
+ 87
346
+ 00:07:24,240 --> 00:07:27,860
347
+ ูˆ two chlorobutane ุงู„ุขู† ู‚ุงุนุฏูŠู† ุจู†ู‚ูˆู„ูƒู† ุงู„ two
348
+
349
+ 88
350
+ 00:07:27,860 --> 00:07:33,900
351
+ chlorobutane ุนุจุงุฑุฉ ุนู† ู…ุฑูƒุจูŠู† R-2-chlorobutane ูˆ S
352
+
353
+ 89
354
+ 00:07:33,900 --> 00:07:38,500
355
+ -2-chlorobutane ุงู„ุญู‚ูŠู‚ุฉ ุญุณุจ ุทุฑูŠู‚ุฉ ุงู„ูƒู„ุงู… ูŠุนู†ูŠ ุฃู†ุง
356
+
357
+ 90
358
+ 00:07:38,500 --> 00:07:42,660
359
+ ู…ุงุจุนุชู‚ุฏุด ุงู†ู‡ ุงู„ูƒู„ุงู… ู…ุชู†ุงู‚ุถ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู„ูˆ ุงุญู†ุง ุจู†ุญูƒูŠ
360
+
361
+ 91
362
+ 00:07:42,660 --> 00:07:46,520
363
+ ุนู† structural isomers ุจุฏูˆู† ู…ุง ู†ุงุฎุฏ ุงู„ stereo
364
+
365
+ 92
366
+ 00:07:46,520 --> 00:07:50,540
367
+ chemistry ููŠ ุนูŠู† ุงู„ุงุนุชุจุงุฑุจุทู„ุน ุนู†ุฏู‰ two structural
368
+
369
+ 93
370
+ 00:07:50,540 --> 00:07:55,940
371
+ isomers ุงู„ one ูˆ ุงู„ two ู‡ุฏูˆู„ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุฅูŠุดุŸ
372
+
373
+ 94
374
+ 00:07:55,940 --> 00:07:59,140
375
+ structural isomers one chlorobutane ูŠุนู†ูŠ ุจู†ุฌูŠุจู„ูƒูˆุง
376
+
377
+ 95
378
+ 00:07:59,140 --> 00:08:02,640
379
+ ูŠุง ุณุคุงู„ ููŠ ุงู„ุงู…ุชุญุงู† one chlorobutane is a
380
+
381
+ 96
382
+ 00:08:02,640 --> 00:08:06,780
383
+ structural isomer of two chlorobutane ู„ุฃู†ู‡
384
+
385
+ 97
386
+ 00:08:06,780 --> 00:08:12,980
387
+ ุจูŠุฎุชู„ููˆุง ุจุงู„ุงุณู… ุจูŠุฎุชู„ููˆุง ุจู…ูˆุงู‚ุน ุงู„ุฅุฑุชุจุงุท ู„ูƒู† ุงู„ R2
388
+
389
+ 98
390
+ 00:08:12,980 --> 00:08:16,540
391
+ -chlorobutane ูˆ ุงู„ S2-chlorobutane they are
392
+
393
+ 99
394
+ 00:08:17,840 --> 00:08:20,880
395
+ StereoisomersุŒ ุฅุฐุง ู„ูˆ ุจุฏุฃ ุฃู‚ูˆู„ ูƒุงู… structure ุงู„
396
+
397
+ 100
398
+ 00:08:20,880 --> 00:08:24,320
399
+ isomers ุจุชุทู„ุน ุนู†ุฏู‰ุŸ ุงุชู†ูŠู†ุŒ ู„ูƒู† ูƒุงู… ุงู„ total
400
+
401
+ 101
402
+ 00:08:24,320 --> 00:08:29,320
403
+ isomersุŸ ุชู„ุงุชุฉุŒ ูˆุงุถุญุŸ ู„ุฃู† ุงู„ two-chlorobutane ููŠู‡
404
+
405
+ 102
406
+ 00:08:29,320 --> 00:08:35,660
407
+ ู…ู†ู‡ ู…ุฑูƒุจูŠู† ุงู„ R ูˆ ุงู„ SุŒ ุฅุฐุง ู‡ู†ุง ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„ ุงู„ุจุณุงุทุฉ
408
+
409
+ 103
410
+ 00:08:35,660 --> 00:08:40,740
411
+ ุฅู† ุงู„ generation of a chiral center produces a
412
+
413
+ 104
414
+ 00:08:40,740 --> 00:08:45,660
415
+ racemic mixtureู„ูŠุด ุงู„racemic mixtureุŸ ู„ุฃู† ุงู„
416
+
417
+ 105
418
+ 00:08:45,660 --> 00:08:49,020
419
+ intermediate ุงู„ free radical ุงู„ู„ูŠ ุงุชูƒูˆู† ุนู†ุฏู‰ ุจุงู„ู†ุต
420
+
421
+ 106
422
+ 00:08:49,020 --> 00:08:52,740
423
+ ูƒุงู† planner ูุตุงุฑูˆุง ุงู„ุงุญุชู…ุงู„ุงุช ุงู†ู‡ ูŠุชูุงุนู„ ู…ู† ุงู„ูŠู…ูŠู†
424
+
425
+ 107
426
+ 00:08:52,740 --> 00:08:59,340
427
+ ุงูˆ ู…ู† ุงู„ุดู…ุงู„ ู†ูุณ ุงู„ุงุญุชู…ุงู„ุงุช ูˆุงุถุญุŸ ู‡ุฐุง ู…ุซุงู„ ู…ู…ูƒู†
428
+
429
+ 108
430
+ 00:08:59,340 --> 00:09:04,150
431
+ ู†ุงุฎุฏ ู…ุซุงู„ ุชุงู†ูŠ ูˆ ุงู„ู…ุซุงู„ ุงู„ุชุงู†ูŠ ู…ุฑ ุนู„ูŠู†ุง ุจุฑุถู‡ู„ู…ุง
432
+
433
+ 109
434
+ 00:09:04,150 --> 00:09:11,750
435
+ ูƒู†ุง ู†ุฌูŠ ู†ุนู…ู„ ุนู…ู„ูŠุฉ addition ู„ ุงู„ one butane ุฅุถุงูุฉ
436
+
437
+ 110
438
+ 00:09:11,750 --> 00:09:18,010
439
+ HBr ุนู„ู‰ ุญุณุจ ู‚ุงุนุฏุฉ Markovnikov addition ููŠ ูˆุฌูˆุฏ ุงู„
440
+
441
+ 111
442
+ 00:09:18,010 --> 00:09:24,390
443
+ H plus ู…ุชุฐูƒุฑูŠู†ู‡ุงุŸ ูƒุงู†ุช ุงู„ุนู…ู„ูŠุฉ ุงู„ุฅุถุงูุฉ ู†ู‚ุทุฉ
444
+
445
+ 112
446
+ 00:09:24,390 --> 00:09:28,630
447
+ ุงู„ุจุฏุงูŠุฉ ุชุจุนุชู‡ุง ุฃู† ุงู„ H plus ูŠุถูŠู ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ
448
+
449
+ 113
450
+ 00:09:28,630 --> 00:09:33,700
451
+ ุนุดุงู† ูŠุชูƒูˆู† ุนู†ุฏูŠ carbocation ุนู„ู‰ ุงู„ู…ูˆู‚ุน ุงุชู†ูŠู†ููŠ ู‡ุฐู‡
452
+
453
+ 114
454
+ 00:09:33,700 --> 00:09:39,120
455
+ ุงู„ุญุงู„ุฉุŒ ุณูŠูƒูˆู† ุนู†ุฏู‡ ู…ุฌู…ูˆุนุฉ ู…ุซู„ ุงู„ู€ CH2 ูˆุงุถุงูุช ุนู„ูŠู‡ุง
456
+
457
+ 115
458
+ 00:09:39,120 --> 00:09:44,800
459
+ H ู…ุฌู…ูˆุนุฉ EthaneุŒ ุงู„ู„ูŠ ู‡ูŠ ุจุงู‚ูŠ ุงู„ุฌุฒูŠุฑ ูˆ ุงู„ู€ H ุงู„ู„ูŠ
460
+
461
+ 116
462
+ 00:09:44,800 --> 00:09:50,740
463
+ ู…ูˆุฌูˆุฏุฉ ุฃุตู„ุงู‹ ูˆ Carbocation ูˆุงุถุญุŸ ู‡ุฐุง ุงู„ู€
464
+
465
+ 117
466
+ 00:09:50,740 --> 00:09:54,180
467
+ Carbocation ุจุฑุถู‡ ุงู„ุดูƒู„ ุชุจุนู‡ ุจู„ู†ุฑ ุฒูŠ ุงู„ู€ Free
468
+
469
+ 118
470
+ 00:09:54,180 --> 00:09:59,080
471
+ Radical ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒุŒ ู„ู…ุง ูŠุชู… ุงู„ุชูุงุนู„ ุงู„ุขู† ุงู„ู€
472
+
473
+ 119
474
+ 00:09:59,080 --> 00:10:04,900
475
+ CarbocationุŒ ู…ุงุฐุง ูŠุฃุชูŠ ู„ู‡ุŸุณูŠุงู„ ู…ุงูŠู†ูˆุณ ุงู„ูุฑูŠ ุฑุงุฏูŠูƒู„
476
+
477
+ 120
478
+ 00:10:04,900 --> 00:10:08,440
479
+ ูƒุงู† ูŠุฌูŠู„ู‡ ุฑุงุฏูŠูƒู„ ูƒุงู† ูŠุงุฎุฏ ุฑุงุฏูŠูƒู„ ู„ู…ุง ูŠูƒูˆู† ู‡ุฐุง ู…ูˆุฌุจ
480
+
481
+ 121
482
+ 00:10:08,440 --> 00:10:12,540
483
+ ุดูˆ ุจุฏู‡ ูŠุฌูŠู„ู‡ ู‡ุงูŠ ุณูŠุงู„ ู…ุงูŠู†ูˆุณ ู…ุน ุฅู„ูƒุชุฑูˆู†ุงุชู‡ ุทุงู„ู…ุง
484
+
485
+ 122
486
+ 00:10:12,540 --> 00:10:17,080
487
+ ุฅู†ู‡ planner ู…ุฑุฉ ุชุงู†ูŠุฉ ู…ู…ูƒู† ูŠูŠุฌูŠ ุนู† ุงู„ูŠู…ูŠู† ุฃูˆ ู…ู…ูƒู†
488
+
489
+ 123
490
+ 00:10:17,080 --> 00:10:23,380
491
+ ูŠูŠุฌูŠ ุนู† ุงู„ุดู…ุงู„ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ูŠุทู„ุน ุนู†ุฏู‡ ุงู„ two
492
+
493
+ 124
494
+ 00:10:23,380 --> 00:10:32,410
495
+ promo ุจูŠูˆุชูŠู† ู„ูƒู† ุจูŠุทู„ุน ู…ู†ู‡ุงู„ู„ูŠ ู‡ูˆ ุงู„ S ูˆ ุงู„ R ุจุทู„ุน
496
+
497
+ 125
498
+ 00:10:32,410 --> 00:10:37,970
499
+ ู…ู†ู‡ ุงู„ S ูˆ ุงู„ R isomers ู„ุงุญุธูˆุง ู…ุนู†ู‰ ุนู…ู„ ุงู„ุฅู„ู…
500
+
501
+ 126
502
+ 00:10:37,970 --> 00:10:41,630
503
+ ุจุชูˆุณุน ุงุญู†ุง ุฒู…ุงู† ูƒู†ุง ู†ู‚ูˆู„ูƒู… ุจุจุณุงุทุฉ ุงู† ุงู„ addition
504
+
505
+ 127
506
+ 00:10:41,630 --> 00:10:49,750
507
+ of HBR to one butane produces two bromobutane
508
+
509
+ 128
510
+ 00:10:49,750 --> 00:10:53,850
511
+ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ุงู„ุขู† ุจู†ูƒุชุดู ุงู†ู‡ ู„ุฃ ู‡ูˆ ุจุทู„ุนุด ุจุฑูƒุจ
512
+
513
+ 129
514
+ 00:10:53,850 --> 00:11:02,000
515
+ ูˆุงุญุฏ ู‡ูˆ ุจุทู„ุน ุงู„ R2-bromobutane ู‡ุฐุง ูˆุงู„ู€ S-2
516
+
517
+ 130
518
+ 00:11:02,000 --> 00:11:06,780
519
+ -bromobutane ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฑูƒุจ ู‡ุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุชู„ุงุญุธูˆุง
520
+
521
+ 131
522
+ 00:11:06,780 --> 00:11:10,880
523
+ ุฃู†ู‡ ุฃู†ุง ู‡ู†ุง ู…ุงูƒู†ุด ุนู†ุฏูŠ ูˆู„ุง chiral center ููŠ ุงู„ุฌุฒุก
524
+
525
+ 132
526
+ 00:11:10,880 --> 00:11:15,940
527
+ ุงู„ู„ูŠ ุงุจุชุฏูŠุช ู…ู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู‰ chiral centers ู„ู…ุง
528
+
529
+ 133
530
+ 00:11:15,940 --> 00:11:19,300
531
+ ุงุชูƒูˆู† chiral centers ุจุชูƒูˆู† charismatic mixture
532
+
533
+ 134
534
+ 00:11:19,300 --> 00:11:24,010
535
+ ุจู†ุณุจุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู„ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ
536
+
537
+ 135
538
+ 00:11:24,010 --> 00:11:29,490
539
+ ู„ูˆ ุฌูŠู†ุง ู†ุฏุฑุณ ุงู„ optical activity ู„ูˆ ุฌูŠุจุช ูƒู„ ุงู„
540
+
541
+ 136
542
+ 00:11:29,490 --> 00:11:33,070
543
+ reactant ุงู„ู„ูŠ ู‡ู†ุง ู‚ุจู„ ุงู„ุชูุงุนู„ ูˆ ุญุทูŠุชู‡ ููŠ ุงู„
544
+
545
+ 137
546
+ 00:11:33,070 --> 00:11:37,910
547
+ polarimeter ุจูŠูƒูˆู† active ูˆู„ุง inactiveุŸ inactive ู„ูˆ
548
+
549
+ 138
550
+ 00:11:37,910 --> 00:11:43,490
551
+ ุฌูŠุจุช ุฎู„ูŠู‚ ุงู„ู†ูˆุงุชุฌ ูˆ ุญุทูŠุชู‡ ููŠ ุงู„ polarimeterุŸ
552
+
553
+ 139
554
+ 00:11:43,490 --> 00:11:48,610
555
+ inactive ู„ุฃู†ู‡ ุจู†ุณุจุฉ 50% ู„ 50% ุตูุฑ ุงู„ rotation ุชุจุนู‡
556
+
557
+ 140
558
+ 00:11:48,610 --> 00:11:53,220
559
+ ูˆู‡ุฐุง ู†ูุณ ุงู„ุงุดูŠุงุกููŠุด chiral center inactive ู‡ู†ุง
560
+
561
+ 141
562
+ 00:11:53,220 --> 00:11:57,360
563
+ ุฑุณู…ูƒ mixture ูˆ ุงู„ุฑุณู…ูƒ mixture inactive ุตุงุฑ ููŠ
564
+
565
+ 142
566
+ 00:11:57,360 --> 00:12:01,620
567
+ ุนู†ุฏู†ุง ู‚ุงุนุฏุฉ ููŠ ุงู„ stereo chemistry ุจุชู‚ูˆู„ ุงู„ู‚ุงุชูŠ
568
+
569
+ 143
570
+ 00:12:01,620 --> 00:12:07,620
571
+ ุจุชู‚ูˆู„ optically inactive reactants produces
572
+
573
+ 144
574
+ 00:12:07,620 --> 00:12:13,340
575
+ optically inactive products ุงู„ู„ูŠ ุจู†ู‚ุตุฏู‡ ู‡ู†ุง ุงู† ูƒู„
576
+
577
+ 145
578
+ 00:12:13,340 --> 00:12:17,600
579
+ ุงู„ู†ุงุชุฌ ุนู„ู‰ ุจุนุถู‡ ู„ูˆ ุจุนุฏูƒ ุจุทุฑูŠู‚ุฉ ู…ุง ูุตู„ุช ู‡ุฐุง ู„ุญุงู„ู‡ ูˆ
580
+
581
+ 146
582
+ 00:12:17,600 --> 00:12:21,110
583
+ ุจุนุฏ ู„ุญุงู„ู‡ ู‡ุฐุง ุจูŠูƒูˆู† active ูˆ ู‡ุฐุง activeู„ูƒู† ุฃู†ุง
584
+
585
+ 147
586
+ 00:12:21,110 --> 00:12:26,230
587
+ ุจุญูƒูŠ ูƒู†ุชุฌ ุงู„ู†ุชุฌ ุฑุงุณูŠู…ูŠูƒ ู…ูŠูƒุณุดุชุฑ inactive ุนุดุงู†ูƒ
588
+
589
+ 148
590
+ 00:12:26,230 --> 00:12:31,070
591
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุนุงู…ุฉ optically inactive reactants
592
+
593
+ 149
594
+ 00:12:31,070 --> 00:12:36,550
595
+ produces optically inactive products ุทุจุนุง ู…ุงุญุฏุด
596
+
597
+ 150
598
+ 00:12:36,550 --> 00:12:43,870
599
+ ูŠุนุชู‚ุฏ ุงู† ุนูƒุณ ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉ ุจูŠูƒูˆู† ุตุญูŠุญู…ุง ุจู†ู‚ูˆู„ุด ุงุญู†ุง
600
+
601
+ 151
602
+ 00:12:43,870 --> 00:12:46,850
603
+ optically active reactants produces optically
604
+
605
+ 152
606
+ 00:12:46,850 --> 00:12:50,330
607
+ active products ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุงู„ู…ุนุงูƒุณุฉ ู…ุฑุงุช ุจุชุธุจุท
608
+
609
+ 153
610
+ 00:12:50,330 --> 00:12:55,270
611
+ ู…ุฑุงุช ู„ุฃ ู„ูƒู† ุงู„ุฌู…ู„ุฉ ุงู„ุฃูƒูŠุฏุฉ optically inactive
612
+
613
+ 154
614
+ 00:12:55,270 --> 00:12:58,490
615
+ reactants produces optically inactive products
616
+
617
+ 155
618
+ 00:12:58,490 --> 00:13:03,530
619
+ ูˆุงุถุญุŸ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุงู„ุฃูƒูŠุฏุฉ ุฅุฐุง ุงุณุชูˆุนุจุชูˆุง ุจุงู„ุธุจุท ุฅูŠุด
620
+
621
+ 156
622
+ 00:13:03,530 --> 00:13:06,950
623
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ู„ู…ุง ู†ุนู…ู„ generation of a chiral
624
+
625
+ 157
626
+ 00:13:06,950 --> 00:13:13,920
627
+ center we produce simply a racemicmix jar ูˆุงุถุญุŸ
628
+
629
+ 158
630
+ 00:13:13,920 --> 00:13:17,840
631
+ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ู…ู† ุงู„ุชูุงุนู„ ุงู„ู†ูˆุน
632
+
633
+ 159
634
+ 00:13:17,840 --> 00:13:24,460
635
+ ุงู„ุชุงู†ู‰ ุฃุณู‡ู„ .. ุงู„ู†ูˆุน ุงู„ุชุงู†ู‰ ุฃุณู‡ู„ ุจูŠู‚ูˆู„ ุงู„ู‚ุงุชู„ ู„ูˆ
636
+
637
+ 160
638
+ 00:13:24,460 --> 00:13:30,500
639
+ ุนู…ู„ู†ุง ุชูุงุนู„ ุจุนูŠุฏุง ุนู† ุงู„ chiral center ู„ูˆ ุนู…ู„ู†ุง
640
+
641
+ 161
642
+ 00:13:30,500 --> 00:13:37,860
643
+ ุชูุงุนู„ ุจุนูŠุฏุง ุนู† ุงู„ chiral center ุดูˆ ุจูŠุตูŠุฑ ุนู†ุฏู‡ุŸูˆุงุถุญ
644
+
645
+ 162
646
+ 00:13:37,860 --> 00:13:42,060
647
+ ุงู„ุณุคุงู„ุŸ ุฎู„ู‘ูŠู†ูŠ ุฃุนุทูŠูƒูˆุง ูŠุงุจ ุจุณุงุทุฉุŒ ู„ูˆ ุงุชุฎูŠู„ุช ุฃู†ุง
648
+
649
+ 163
650
+ 00:13:42,060 --> 00:13:45,300
651
+ ู‡ู†ุง ูƒุฅู†ุณุงู† ุนู†ุฏูŠ chiral centerุŒ ู‡ุงูŠ ุงุชุฌุงู‡ุŒ ู‡ุงูŠ
652
+
653
+ 164
654
+ 00:13:45,300 --> 00:13:47,620
655
+ ุงู„ุงุชุฌุงู‡ ุงู„ุชุงู†ูŠุŒ ู‡ุงูŠ ุงู„ุงุชุฌุงู‡ ุงู„ุชุงู„ุชุŒ ู‡ุงูŠ ุงู„ุงุชุฌุงู‡
656
+
657
+ 165
658
+ 00:13:47,620 --> 00:13:52,940
659
+ ุงู„ุฑุงุจุนุŒ ูˆู…ุงุงุฎุฏ ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุงุช ุจุงู„ุธุจุทุŒ ูˆุฅุฌูŠุช ุจุนูŠุฏ ุนู†
660
+
661
+ 166
662
+ 00:13:52,940 --> 00:13:55,380
663
+ ู‡ุฐุง ุงู„ chiral centerุŒ ุงุนู…ู„ ุงู„ุชูุงุนู„ุŒ ูŠุนู†ูŠ ู…ุซู„ุง
664
+
665
+ 167
666
+ 00:13:55,380 --> 00:13:59,520
667
+ ู†ู…ุณูƒุช ู‡ุฐุง ู‡ู†ุงุŒ ู‡ู„ ูŠุง ุชูˆุฑุง ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุงุช ุงู„ุฃุฑุจุนุฉ
668
+
669
+ 168
670
+ 00:13:59,520 --> 00:14:04,080
671
+ ุชุบูŠุฑ ููŠู‡ุง ุฅุดูŠุŸุจู…ุนู†ู‰ ู„ูˆ ุฃู†ุง ูƒู†ุช ุดุบุงู„ ุนู„ู‰ ุจุฑู†ุงู…ุฌ
672
+
673
+ 169
674
+ 00:14:04,080 --> 00:14:09,080
675
+ ุฑุงุณู… ูˆ ู‡ุฐุง ุงู„ reactant ูˆ ุจุฏู‡ ุฃุญุท ู„ productุŒ ุดูˆ
676
+
677
+ 170
678
+ 00:14:09,080 --> 00:14:15,940
679
+ ุจุนู…ู„ุŸ ุจุนู…ู„ ู†ุณุฎุŸูˆ ู„ุงุตู‚ ูˆ ุจุบูŠุฑ ุจุณ ุดุบู„ุฉ ุจุณูŠุทุฉ ุนู„ู‰
680
+
681
+ 171
682
+ 00:14:15,940 --> 00:14:21,000
683
+ ุงู„ุทุฑู ู„ูƒู† ู‡ู„ ุบูŠุฑุช ุงุชุฌุงู‡ ุงู„ู…ุฌู…ูˆุนุงุช ุญูˆู„ ุงู„ chiral
684
+
685
+ 172
686
+ 00:14:21,000 --> 00:14:26,600
687
+ centerุŸ ุงู‡ ุฅุฐุง ุงู„ reaction ู„ู…ุง ุจูŠูƒูˆู† away ุจุนูŠุฏ ุนู†
688
+
689
+ 173
690
+ 00:14:26,600 --> 00:14:31,760
691
+ ุงู„ chiral center away from ุนู„ู‰ ุงู„ orientation ูŠุนู†ูŠ
692
+
693
+ 174
694
+ 00:14:31,760 --> 00:14:36,630
695
+ ู†ูุณ ุงุชุฌุงู‡ ุงู„ู…ุฌู…ูˆุนุงุชูˆุงุถุญุŸ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ุดุบู„ู‡ ุจู†ุณู…ูŠู‡ุง
696
+
697
+ 175
698
+ 00:14:36,630 --> 00:14:40,930
699
+ retention of configuration ุงู†ู‡ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ู…ุซู„ุง
700
+
701
+ 176
702
+ 00:14:40,930 --> 00:14:44,390
703
+ ุจุชุฃุดุฑ ุจุงู„ุงุชุฌุงู‡ ู‡ุฐุงุŒ ู‡ุฐุง ุจุงู„ุงุชุฌุงู‡ ู‡ุฐุงุŒ ู‡ุฐุง ู„ููˆู‚ุŒ
704
+
705
+ 177
706
+ 00:14:44,390 --> 00:14:49,250
707
+ ู‡ุฐุง ู„ุชุญุชุŒ ูƒู„ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุงุช ุจุชุธู„ ุฒูŠ ู…ุง ู‡ูŠ ุงู„ุขู† ู…ู…ูƒู†
708
+
709
+ 178
710
+ 00:14:49,250 --> 00:14:55,150
711
+ ู†ุนุทูŠ ุฃู…ุซู„ุฉุŒ ู…ู…ูƒู† ู†ุนุทูŠ ุฃู…ุซู„ุฉู…ุซู„ู‹ุง ๏ฟฝ๏ฟฝูˆ ุทู„ุนู†ุง ุนู„ู‰ ู‡ุฐุง
712
+
713
+ 179
714
+ 00:14:55,150 --> 00:14:57,770
715
+ ุงู„ู…ูุฑูƒู‘ุจ ุฃู†ุง ู…ุด ูƒุชูŠุฑ ุจู‡ู… ุฃู† ุชูƒูˆู†ูˆุง ุนุงุฑููŠู† ุงู„ุชูุงุนู„
716
+
717
+ 180
718
+ 00:14:57,770 --> 00:15:02,790
719
+ ู„ุฃู†ู‡ ู„ุณู‡ ู…ุง ุฏุฑุณุชู‡ูˆุด ููŠ ุนู†ุฏูŠ CH3 ูˆ CH2 ูˆ CH3 ูˆ COH
720
+
721
+ 181
722
+ 00:15:02,790 --> 00:15:08,530
723
+ ูˆ COH ุฃุณุฏ ุงู„ุฃู† ู„ูˆ ู‡ุฐุง ุงู„ุญู…ุถ ุญูˆู„ุชู‡ ู„ E star ู‡ู„ ูŠุง
724
+
725
+ 182
726
+ 00:15:08,530 --> 00:15:12,150
727
+ ุชูˆุฑุฉ ุฃู†ุง ุบูŠุฑุช ููŠ ุงุชุฌุงู‡ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุงุชุŸ ุงุชุทู„ุนูˆุง ู…ุน
728
+
729
+ 183
730
+ 00:15:12,150 --> 00:15:15,610
731
+ ุงู„ ู…ุซู„ ู„ููˆู‚ ุงู„ S ู„ุชุญุช ุงู„ H ุจู‡ุงู„ุงุชุฌุงู‡ุŸ ูˆ ุจู‡ุฐู‡
732
+
733
+ 184
734
+ 00:15:15,610 --> 00:15:20,530
735
+ ุงู„ู†ุทูุฉ ุจุนูŠุฏู‹ุง ุนู† ุงู„ chiral center ุนู…ู„ุช ุชุบูŠูŠุฑ ูˆุงุถุญุŸ
736
+
737
+ 185
738
+ 00:15:20,530 --> 00:15:24,590
739
+ ุฅุฐุง ู‡ู†ุง ููŠ ุนู†ุฏูŠ ุนู…ู„ูŠุฉ ุฅูŠุดุŸretention of
740
+
741
+ 186
742
+ 00:15:24,590 --> 00:15:29,670
743
+ configuration ู†ูุณ ุงู„ุฃุดูŠ ู„ูˆ ู…ุซู„ุง ุฃุฎุฏุช ู‡ุฐุง ุงู„ู…ูุฑูƒู‘ุจ
744
+
745
+ 187
746
+ 00:15:29,670 --> 00:15:33,830
747
+ ุนู†ุฏูƒู… H ู‡ูŠ ุจุงุชุฌุงู‡ ู…ุนูŠู† CR ุจุงุชุฌุงู‡ ู…ุนูŠู† ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ
748
+
749
+ 188
750
+ 00:15:33,830 --> 00:15:37,870
751
+ ูˆ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ุฃุญูŠุงู†ุง ุงู„ู€H ู…ุฑุณูˆู…ุฉ ุตุบูŠุฑุฉ ู‡ุฐุง ุจุงู„ุฎุทุฃ
752
+
753
+ 189
754
+ 00:15:37,870 --> 00:15:42,570
755
+ ุจุชูƒูˆู† ุจุฏุฃ ุชุตุญูŠุญ ู…ุด ู…ุดูƒู„ุฉ ูˆ ุฃู†ุง ุญุงุทุช CH2OH ู…ุนุฑูˆู
756
+
757
+ 190
758
+ 00:15:42,570 --> 00:15:46,310
759
+ ุชูุงุนู„ ูˆ ุจู†ุชุนู„ู…ู‡ ุจุนุฏูŠู† ุฃู†ู‡ ุจุงู„ุฃูƒุณู„ ุฏู‡ ู‡ุฐู‡ ุจุชุตูŠุฑ C
760
+
761
+ 191
762
+ 00:15:46,310 --> 00:15:51,570
763
+ double bond O O OH ู…ุด H O H
764
+
765
+ 192
766
+ 00:15:58,400 --> 00:16:04,880
767
+ ุงู„ุฎู„ุงุตุฉ ู‡ู„ ูŠุง ุชูˆุฑุง ู‡ู†ุง ุชู… ุชุบูŠูŠุฑ ู„ุงุชุฌุงู‡ุงุช ุงู„ู…ุฌู…ูˆุนุงุช
768
+
769
+ 193
770
+ 00:16:04,880 --> 00:16:08,070
771
+ ูŠุนู†ูŠ ู„ุงุญุธูˆุง ุงู„ H ู„chlorine ุงูŠู‡ ููŠ ุงู„ููŠู„ู…ุฅุฐุง
772
+
773
+ 194
774
+ 00:16:08,070 --> 00:16:10,370
775
+ ุงู„ุจุฑุชู‚ุงู„ ุตุงุฑ ููŠ ุนู†ุฏ ุงู„ retention of configuration
776
+
777
+ 195
778
+ 00:16:10,370 --> 00:16:14,050
779
+ ู„ุฃู† ุงู„ุชูุงุนู„ ุจุนูŠุฏ ุนู† ุฅูŠุดุŸ ุจุนูŠุฏ ุนู† ุงู„ูƒุงุฆู†ุงุชุŒ ุนู†
780
+
781
+ 196
782
+ 00:16:14,050 --> 00:16:17,810
783
+ ุงู„ุฐู†ุจุงุช ุฅุฐุง ุฃู†ุง ู„ู…ุง ุฃูƒูˆู† ู…ุงุฎุฏ ุงุชุฌุงู‡ุงุช ู…ุนูŠู†ุฉ ูˆ ุฃุนู…ู„
784
+
785
+ 197
786
+ 00:16:17,810 --> 00:16:23,170
787
+ ุดุบู„ ู‡ู†ุง ู…ุง ุบูŠุฑุช ููŠ ุงู„ุงุชุฌุงู‡ุงุชุŒ ูˆุงุถุญุŸ ู‡ู†ุง ุจุชูŠุฌูŠ ุดุบู„
788
+
789
+ 198
790
+ 00:16:23,170 --> 00:16:29,550
791
+ ุญู‚ูŠู‚ุฉ ูˆ ูƒุชูŠุฑ ู…ู† ุงู„ุทู„ุงุจ ุจูŠุตูŠุฑ ุนู†ุฏู‡ู… ููŠู‡ุง ู†ูˆุน ู…ู†
792
+
793
+ 199
794
+ 00:16:29,550 --> 00:16:35,140
795
+ ุงู„ุฎุทุฃ ูˆ ู„ุงุจุฏ ู…ู† ุงู„ุชู†ูˆูŠู‡ ู„ู‡ุงุฅู†ู‡ ุจูŠุนุชู‚ุฏูˆุง ุฅู†ู‡
796
+
797
+ 200
798
+ 00:16:35,140 --> 00:16:39,600
799
+ ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ retention of configuration ุฅู† ู„ูˆ ูƒุงู†
800
+
801
+ 201
802
+ 00:16:39,600 --> 00:16:44,640
803
+ ุงู„ reactant ุงู„ู„ูŠ ุนู†ุฏู‡ RุŒ ุงู„ product ู„ุงุฒู… ูŠุทู„ุน R ุฃูˆ
804
+
805
+ 202
806
+ 00:16:44,640 --> 00:16:48,060
807
+ ู„ูˆ ูƒุงู† ุงู„ reactant ุงู„ู„ูŠ ุนู†ุฏู‡ SุŒ ุงู„ product ู„ุงุฒู…
808
+
809
+ 203
810
+ 00:16:48,060 --> 00:16:50,920
811
+ ูŠุทู„ุน SุŒ ู‡ุฐุง ู…ุด ู‡ูˆ ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ retention of
812
+
813
+ 204
814
+ 00:16:50,920 --> 00:16:57,490
815
+ configurationูˆุงุถุญุŸ ู„ูŠุดุŸ ู„ุฃู† ุงู„ R ูˆ ุงู„ S ุชุญุฏูŠุฏู‡ุง ..
816
+
817
+ 205
818
+ 00:16:57,490 --> 00:17:02,690
819
+ ุชุญุฏูŠุฏู‡ุง ุนู„ู‰ ุญุณุจ ุฃูˆู„ูˆูŠุฉ ุงู„ู…ุฌู…ูˆุนุงุช any ุฃูƒุจุฑ any
820
+
821
+ 206
822
+ 00:17:02,690 --> 00:17:07,510
823
+ again any again ุฃู†ุง ู„ู…ุง ุจุนู…ู„ ู…ุฑุงุช ุชูุงุนู„ ุจุนูŠุฏุง ุนู†
824
+
825
+ 207
826
+ 00:17:07,510 --> 00:17:12,010
827
+ ุงู„ chiral center ู…ู…ูƒู† ู…ุฌู…ูˆุนุฉ ูƒุงู†ุช ู‡ูŠ ุงู„ุฃูƒุจุฑ ุชุตูŠุฑ
828
+
829
+ 208
830
+ 00:17:12,010 --> 00:17:15,400
831
+ ุฃุตุบุฑูˆุงุถุญุŸ ุงู„ู„ูŠ ุจูŠู‚ุตุฏู‡ ุจุงู„ู€ retention ูˆ ุจุงู„ู€
832
+
833
+ 209
834
+ 00:17:15,400 --> 00:17:19,360
835
+ configuration ู…ุด ุงู† ุงู„ู€ R ุชุธู‡ุฑ ูƒู€ R ูˆ ุงู„ู€ S ุชุธู‡ุฑ ูƒ
836
+
837
+ 210
838
+ 00:17:19,360 --> 00:17:24,720
839
+ S ู„ุฃ ุงู† ุงู„ุงุชุฌุงู‡ุงุช ููŠ ุงู„ูุฑุงุบ ุชุธู‡ุฑ ูƒู…ุง ู‡ูŠูˆุงุถุญุŸ ู„ูƒู†
840
+
841
+ 211
842
+ 00:17:24,720 --> 00:17:29,020
843
+ ุงู„ู€R ูˆ ุงู„ู€S ู…ุฑุงุช ุจุชุธู‡ุฑ ุงู„ู€RR ูˆ ุงู„ู€SS ู…ุฑุงุช ุจู†ุนูƒุณู‡
844
+
845
+ 212
846
+ 00:17:29,020 --> 00:17:33,800
847
+ ู‡ุฐุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฅูŠุด ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ุงุชูุงุนู„ุช
848
+
849
+ 213
850
+ 00:17:33,800 --> 00:17:37,980
851
+ ูุงู„ู€R ูˆ ุงู„ู€S ู‡ูŠ ู‚ุตุฉ ุฃูˆู„ูˆูŠุงุช ุจูŠู†ู…ุง ุงู„ู„ูŠ ู…ู‚ุตูˆุฏ ุจุงู„
852
+
853
+ 214
854
+ 00:17:37,980 --> 00:17:40,640
855
+ retention of configuration ุงุชุฌุงู‡ุงุช ุฃู†ู‡ ุฃู†ุง ุนู†ุฏูŠ
856
+
857
+ 215
858
+ 00:17:40,640 --> 00:17:45,100
859
+ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ููŠ ุงู„ reactant ูˆุงุถุญุŸ ุจุชุญุท ุงู„ู…ุนุงุฏู„ุฉ
860
+
861
+ 216
862
+ 00:17:45,100 --> 00:17:49,510
863
+ product ุจูŠุฌูŠู†ูŠ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ุฒูŠ ู…ุง ู‡ูˆ ู…ุนุชุบูŠูŠุฑ ููŠ
864
+
865
+ 217
866
+ 00:17:49,510 --> 00:17:53,990
867
+ ุงู„ุทุฑู ุงู„ู„ูŠ ู‡ู†ุง ูˆุงุถุญุŸ ูู…ุงุญุฏุด ูŠูู‡ู… ูƒู„ู…ุฉ retention of
868
+
869
+ 218
870
+ 00:17:53,990 --> 00:17:59,360
871
+ configuration ุฃู†ู‡ ูŠูƒูˆู† ู…ุนู†ุงู‡ุงุฅู† ุงู„ R ู„ุงุฒู… ุชุธู„ R ูˆ
872
+
873
+ 219
874
+ 00:17:59,360 --> 00:18:04,000
875
+ ุงู„ S ู„ุงุฒู… ุชุธู„ S ู…ุฑุงุช ุฃู‡ ูˆ ู…ุฑุงุช ู„ุง ู…ุนู†ุงู‡ุง ุฅู† ุงู„
876
+
877
+ 220
878
+ 00:18:04,000 --> 00:18:08,260
879
+ bonding ุจูŠุธู„ูˆุง in the same directions ูˆุงุถุญ ุฅู†
880
+
881
+ 221
882
+ 00:18:08,260 --> 00:18:11,560
883
+ ุงู„ุงุฑุชุจุงุทุงุช ุจูŠุธู„ูˆุง ุจู†ูุณ ุงู„ุงุชุฌุงู‡ ุดุงูŠููŠู† ู‡ู†ุง ูƒูŠู
884
+
885
+ 222
886
+ 00:18:11,560 --> 00:18:15,880
887
+ ูƒุงู†ูˆุง ู‡ุฏูˆู„ ู…ุงุฎุฏูŠู† ๏ฟฝ๏ฟฝุฑุจุน ุงุชุฌุงู‡ุงุช ู†ุณุฎุช ุงู„ุฌุฒุก ูˆ ุญุทูŠุชู‡
888
+
889
+ 223
890
+ 00:18:15,880 --> 00:18:19,740
891
+ ู‡ู„ ุบูŠุฑุช ููŠ ุงู„ุฃุฑุจุน ุงุชุฌุงู‡ุงุช ู‡ุฏูˆู„ุŸ ู„ุฃ ู‡ุฐุง ุงู„ู…ู‚ุตูˆุฏ
892
+
893
+ 224
894
+ 00:18:19,740 --> 00:18:23,320
895
+ ุฅู†ู…ุง ู‚ุตุฉ R ูˆ S ุชุญุชู…ู„
896
+
897
+ 225
898
+ 00:18:27,250 --> 00:18:33,870
899
+ ุงู„ุชูุงุนู„ ุงู„ุชุงู„ุช ุจุฑุถู‡ ู‡ูˆ ู…ู† ุงู„ุชูุงุนู„ุงุช ุงู„ู„ู‰ ู…ุฑุช ุนู„ูŠูƒู…
900
+
901
+ 226
902
+ 00:18:33,870 --> 00:18:38,730
903
+ ู„ูˆ
904
+
905
+ 227
906
+ 00:18:38,730 --> 00:18:43,670
907
+ ู…ุซู„ุง ุฃุฎุฏู†ุง ุงู„ู…ุฑูƒุจ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุนู„ู‰ ุงู„ุณุจูˆุฑุฉ
908
+
909
+ 228
910
+ 00:18:43,670 --> 00:18:48,370
911
+ ู‡ุชู„ุงุญุธูˆุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง chiral center ู‡ู†ุง ุชุทู„ุนูˆุง ุฅูŠุด
912
+
913
+ 229
914
+ 00:18:48,370 --> 00:18:53,050
915
+ ุนู†ุฏูƒู…ุŸู…ุซู„ ูˆ chlorine ูˆ ู…ุฌู…ูˆุนุฉ ุงู„ vinyl ู‡ุฐู‡ ูˆ ุงู„
916
+
917
+ 230
918
+ 00:18:53,050 --> 00:18:57,550
919
+ ash ุฅุฐุง ู‡ู†ุง ููŠ ุนู†ุฏูŠ chiral center ูˆู„ุง ู„ุฃ ุงู†ุง ุจุฏูŠ
920
+
921
+ 231
922
+ 00:18:57,550 --> 00:19:02,330
923
+ ุฃุนู…ู„ second chiral center ูŠุนู†ูŠ ุจุฏูŠ ุฃุนู…ู„ chiral
924
+
925
+ 232
926
+ 00:19:02,330 --> 00:19:08,630
927
+ center ุชุงู†ูŠ ุบูŠุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุงู„ุขู† ู„ู…ุง ุงู†ุง ..
928
+
929
+ 233
930
+ 00:19:08,630 --> 00:19:11,630
931
+ ุงู†ุชุจู‡ูˆุง ู…ุนุงูƒูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู„ู…ุง ุงู†ุง ุจุนู…ู„ second
932
+
933
+ 234
934
+ 00:19:11,630 --> 00:19:14,450
935
+ chiral center ูŠุนู†ูŠ ู‡ู†ุง ุจุฏูŠ ุงุนู…ู„ chiral center
936
+
937
+ 235
938
+ 00:19:14,450 --> 00:19:18,870
939
+ ุญู‚ูŠู‚ุฉ ุงู†ุง ุจูƒูˆู† ู‚ุงุนุฏ ุจุนู…ู„ ุชูุงุนู„ ุจุงู„ู†ุณุจุฉ ู„ู„ chiral
940
+
941
+ 236
942
+ 00:19:18,870 --> 00:19:24,940
943
+ center ุงู„ุงูˆู„ ุงูŠุด away from itุŒ ุจุนูŠุฏ ุนู†ู‡ูˆ ุจู†ุงุก ุนู„ู‰
944
+
945
+ 237
946
+ 00:19:24,940 --> 00:19:29,660
947
+ ุฐู„ูƒ ู„ู…ุง ุจุฏูŠ ุฃุฎุฏ ุงู„ chiral center ุงู„ุฃูˆู„ ู‡ู„ ูŠุง ุชุฑู‰
948
+
949
+ 238
950
+ 00:19:29,660 --> 00:19:34,000
951
+ ุจุชุชุบูŠุฑ ุงุชุฌุงู‡ุงุชู‡ุŸ ุฃู‡ ุฅุฐุง ุฌุฒุก ู…ู† ู‡ุฐู‡ ุงู„ู…ุณุฃู„ุฉ ู„ู…ุง ุฃู†ุง
952
+
953
+ 239
954
+ 00:19:34,000 --> 00:19:37,940
955
+ ุจุนู…ู„ second chiral center ุฅู†ู‡ ุงู„ chiral center
956
+
957
+ 240
958
+ 00:19:37,940 --> 00:19:42,260
959
+ ุงู„ุฃูˆู„ ุฃู†ุง ุจุนูŠุฏ ุนู†ู‡ุทุงู„ู…ุง ุงู†ุง ุจุนูŠุฏ ุนู†ู‡ ุงุฐุง ุงู†ุง ุงุนู…ู„
960
+
961
+ 241
962
+ 00:19:42,260 --> 00:19:43,440
963
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
964
+
965
+ 242
966
+ 00:19:43,440 --> 00:19:44,800
967
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
968
+
969
+ 243
970
+ 00:19:44,800 --> 00:19:46,700
971
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
972
+
973
+ 244
974
+ 00:19:46,700 --> 00:19:47,680
975
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
976
+
977
+ 245
978
+ 00:19:47,680 --> 00:19:48,700
979
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
980
+
981
+ 246
982
+ 00:19:48,700 --> 00:19:48,940
983
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
984
+
985
+ 247
986
+ 00:19:48,940 --> 00:19:53,860
987
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
988
+
989
+ 248
990
+ 00:19:53,860 --> 00:20:00,990
991
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุทุจ ู†ูŠุฌูŠ ู†ุณุฃู„ู†ุง ููŠ ุตู†ุงุนุงุช
992
+
993
+ 249
994
+ 00:20:00,990 --> 00:20:05,310
995
+ ู„ู…ุง ุจู†ูŠุฌูŠ ุจู†ุนู…ู„ ู‡ุฐุง ุงู„ุชูุงุนู„ ุจุฏู†ุง ู†ุถูŠู ุนู„ูŠู‡ HPR ููŠ
996
+
997
+ 250
998
+ 00:20:05,310 --> 00:20:10,390
999
+ ูˆุฌูˆุฏ ุงู„ู€ H Plus ุฃูˆู„ ุฎุทูˆุฉ ุฑุจู…ุง ุจุชุฐูƒุฑูˆุง ุจุฏู†ุง ู†ุญุท H
1000
+
1001
+ 251
1002
+ 00:20:10,390 --> 00:20:15,490
1003
+ ูˆูŠุชูƒูˆู† ุนู†ุฏูŠ Carbocation ู‡ู†ุง ุทุงู„ู…ุง ุงุชูƒูˆู† ุนู†ุฏูŠ
1004
+
1005
+ 252
1006
+ 00:20:15,490 --> 00:20:21,230
1007
+ Carbocation ู„ุจู„ุงู†ุฑ ุฅุฐุง ู…ู† ูˆูŠู† ู‡ุชุชู… ุงู„ุฅุถุงูุฉ ุนู„ูŠู‡ุŸ
1008
+
1009
+ 253
1010
+ 00:20:21,230 --> 00:20:26,350
1011
+ ู…ู† ุงู„ุฌู‡ุชูŠู† ุฒูŠ ู‚ุจู„ ุดูˆูŠุฉ ู…ุง ุญูƒูŠู†ุง ูˆุงุถุญุŸ ู…ุฌุฑุฏ ู…ุง ุจุถูŠู
1012
+
1013
+ 254
1014
+ 00:20:26,350 --> 00:20:31,730
1015
+ ู‡ู†ุง Hูˆ ุจูŠุตูŠุฑ ุนู†ุฏูƒ ูƒุงุฑุจูˆ ูƒุชุงูŠู† ู„ุจู„ุงู†ุฑ ู…ู† ุฃูŠู† ุชุชู…
1016
+
1017
+ 255
1018
+ 00:20:31,730 --> 00:20:36,110
1019
+ ุงู„ุฅุถุงูุฉ ุนู„ูŠู‡ุŸ ู…ู† ุงู„ุฌู‡ุชูŠู†ุŒ ุฅุฐุง ูƒุฃู†ู‡ ู…ุฑุฉ ูŠุฌูŠ ุงู„ PR
1020
+
1021
+ 256
1022
+ 00:20:36,110 --> 00:20:43,250
1023
+ ุจุงุชุฌุงู‡ ูˆ ู…ุฑุฉ ุจูŠุฌูŠ ุงู„ PR ุจุงู„ุงุชุฌุงู‡ ุงู„ุชุงู†ูŠุŒ ูˆุงุถุญุŸ ู„ูƒู†
1024
+
1025
+ 257
1026
+ 00:20:43,250 --> 00:20:47,630
1027
+ ู‡ู†ุง ุจุฏูƒูˆุง ุชู†ุชุจู‡ูˆุง ู„ู†ู‚ุทุฉ ุฅู† ู‡ุฏูˆู„ุฉ ู…ุง ุจูŠุทู„ุนูˆุด ุจู†ุณุจุฉ
1028
+
1029
+ 258
1030
+ 00:20:47,630 --> 00:20:51,630
1031
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุงุญู†ุง ู‚ุจู„ ุดูˆูŠุฉ ู„ู…ุง
1032
+
1033
+ 259
1034
+ 00:20:51,630 --> 00:20:55,730
1035
+ ูƒู†ุง ู†ุนู…ู„ ุงู„ first chiral center ูˆ ู†ุถูŠู ู…ู† ุงุชุฌุงู‡ูŠู†
1036
+
1037
+ 260
1038
+ 00:20:55,730 --> 00:21:00,560
1039
+ ูƒู†ุง ู†ู‚ูˆู„ ุจูŠุทู„ุนูˆุงุจุฎู…ุณูŠู† ูู‰ ุงู„ู…ูŠุฉ ุฎู…ุณูŠู† ูู‰ ุงู„ู…ูŠุฉ ู„ูŠุด
1040
+
1041
+ 261
1042
+ 00:21:00,560 --> 00:21:04,920
1043
+ ูู‰ ุงู„ู…ุฑุฉ ุงู„ุฃูˆู„ู‰ ุจูŠุทู„ุนูˆุง ุจู†ุณุจุฉ ู…ุชุณุงูˆูŠุฉ ูˆ ู‡ู†ุง ุจูŠู‚ูˆู„
1044
+
1045
+ 262
1046
+ 00:21:04,920 --> 00:21:08,700
1047
+ ุงู†ู‡ ุจูŠุทู„ุน ุนู†ุฏู‰ diastereomers ู„ู…ุง ู†ุทู„ุน ู‡ุฏูˆู„ ุงู„ุชุงู„ูŠุฉ
1048
+
1049
+ 263
1050
+ 00:21:08,700 --> 00:21:12,560
1051
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุจdiastereomers in unequal amounts ููŠ
1052
+
1053
+ 264
1054
+ 00:21:12,560 --> 00:21:18,220
1055
+ ู…ู‚ุงุฏูŠุฑ ุบูŠุฑ ู…ุชุณุงูˆูŠุฉ ุงู„ุณุจุจ ุงู† ุงู„ุฌุฒุก ู‡ู†ุงู…ุด ู…ุชู…ุงุซุจ
1056
+
1057
+ 265
1058
+ 00:21:18,220 --> 00:21:23,200
1059
+ ูŠุนู†ูŠ ู‡ุฐู‡ ูƒุงู†ุช ุจุชุญุชู…ู„ ุฃู†ู‡ุง ุชูƒูˆู† R ุฃูˆ S ู„ูƒู† ู‡ูŠ ู…ุฎุฏุฉ
1060
+
1061
+ 266
1062
+ 00:21:23,200 --> 00:21:28,260
1063
+ stereo chemistry ูˆุงุญุฏุฉ ูˆุงุถุญ ุงู„ chiral center ุงู„ุฃูˆู„
1064
+
1065
+ 267
1066
+ 00:21:28,260 --> 00:21:34,690
1067
+ ูˆุฌูˆุฏู‡ ุจูŠุฃุซุฑ ุนู„ู‰ุงู„ุฅุถุงูุฉ ุงู„ุฌุฏูŠุฏุฉ ูˆุฌูˆุฏ ุงู„ู€ Chiral
1068
+
1069
+ 268
1070
+ 00:21:34,690 --> 00:21:40,210
1071
+ Center ุงู„ุฃูˆู„ ุจูŠุฎู„ู‘ูŠ ุฃูˆู„ูˆูŠุฉ ู„ู…ุฌู…ูˆุนุฉ ู†ู‚ุฑูˆู… ุชูŠุฌูŠ ู…ู†
1072
+
1073
+ 269
1074
+ 00:21:40,210 --> 00:21:43,650
1075
+ ุฌู‡ุฉ ุฃูƒุชุฑ ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉ ูุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ู…ุง
1076
+
1077
+ 270
1078
+ 00:21:43,650 --> 00:21:47,450
1079
+ ุจูŠุชูƒูˆู‘ู† ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1080
+
1081
+ 271
1082
+ 00:21:47,450 --> 00:21:49,470
1083
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ
1084
+
1085
+ 272
1086
+ 00:21:49,470 --> 00:21:54,370
1087
+ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1088
+
1089
+ 273
1090
+ 00:21:54,370 --> 00:21:56,190
1091
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ
1092
+
1093
+ 274
1094
+ 00:21:56,190 --> 00:21:58,690
1095
+ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1096
+
1097
+ 275
1098
+ 00:21:58,690 --> 00:22:03,530
1099
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌthe presence of the fairs Cairo
1100
+
1101
+ 276
1102
+ 00:22:03,530 --> 00:22:12,750
1103
+ Center ูˆุฌูˆุฏ Cairo Center ุฃูˆู„ ุฃุซุฑ ุนู„ู‰ ุฅูŠุดุŸ ุฃุซุฑ ุนู„ู‰
1104
+
1105
+ 277
1106
+ 00:22:12,750 --> 00:22:20,510
1107
+ ุงู„ู„ูŠ ู‡ูˆ ู…ูˆู‚ุน ุฌุงูŠุฉ ู„ุจุฑูˆู… ูˆุงุถุญุŸ ุชู…ุงู…ุง ุฒูŠ ู„ูˆ ูƒู†ุง ู…ุซู„ุง
1108
+
1109
+ 278
1110
+ 00:22:20,510 --> 00:22:24,330
1111
+ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุชุฎูŠู„ ุฃู† ุฃุญู†ุง ุจู†ู‚ูˆู„ูƒูˆุง ูˆุงู„ู„ู‡ ุงุชูุถู„ูˆุง ู‡ู†ุง
1112
+
1113
+ 279
1114
+ 00:22:25,610 --> 00:22:29,270
1115
+ ุฃูŠ ุญุฏ ูˆุงู‚ู ู‡ู†ุง ู…ู…ูƒู† ูŠุชุฎูŠู„ ุฃู†ู‡ ุจูŠุฌูŠ ุนู† ุงู„ูŠู…ูŠู† ุฃูˆ
1116
+
1117
+ 280
1118
+ 00:22:29,270 --> 00:22:33,490
1119
+ ุจูŠุฌูŠ ุนู† ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ุฃู…ูˆุฑ ู…ุชุนุงุฏู„ุฉ ู…ุงููŠุด ุนู†ุฏู‡ ุฃูŠ
1120
+
1121
+ 281
1122
+ 00:22:33,490 --> 00:22:38,630
1123
+ ู…ุดูƒู„ุฉ ุงู„ุงุญุชู…ุงู„ูŠุฉ ู…ุชุณุงูˆูŠุฉ ุงู„ุขู† ู„ูˆ ุญุทูŠุช ู‡ู†ุง ุนู‚ุจุฉ ู…ุงุŸ
1124
+
1125
+ 282
1126
+ 00:22:38,630 --> 00:22:43,770
1127
+ ูˆู„ูˆ ุนู‚ุจุฉ ุจุณูŠุทุฉ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ุจูŠุฌูŠ ู…ู† ู‡ู†ุง ุฃูƒุชุฑ ู…ู† ุงู„ู„ูŠ
1128
+
1129
+ 283
1130
+ 00:22:43,770 --> 00:22:48,530
1131
+ ุจูŠุฌูŠ ู…ู† ู‡ู†ุง ูุจุชุฎุชู„ ุฅูŠุดุŸ ุจุชุฎุชู„ ุงู„ู†ุณุจุฉ ูˆู‡ุฐู‡ ุงู„ุนู‚ุจุฉ
1132
+
1133
+ 284
1134
+ 00:22:48,530 --> 00:22:55,330
1135
+ ู‡ูŠ ูˆุฌูˆุฏ ุงู„ู€ Chiral Center ุงู„ุฃูˆู„ ุจูŠุฎู„ูŠ ุฌู‡ุฉุฃูุถู„ ู…ู†
1136
+
1137
+ 285
1138
+ 00:22:55,330 --> 00:22:58,790
1139
+ ุงู„ุชุงู†ูŠุฉ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุตุญ ุฃู†ุง ู„ู…ุง ุจุนู…ู„ ุงู„ second
1140
+
1141
+ 286
1142
+ 00:22:58,790 --> 00:23:05,350
1143
+ chiral center ุจุนู…ู„ ุงู„ุฅุถุงูุฉ ุนู„ู‰ ุงู„ุฌู‡ุชูŠู† ู„ูƒู† ุจุชูƒูˆู†
1144
+
1145
+ 287
1146
+ 00:23:05,350 --> 00:23:12,730
1147
+ in unequal amounts ููŠ ู…ู‚ุงุฏูŠุฑ ุบูŠุฑ ู…ุชุณุงูˆูŠุฉ ุฅุฐุง ุงู„
1148
+
1149
+ 288
1150
+ 00:23:12,730 --> 00:23:15,330
1151
+ generation of a second chiral center simply
1152
+
1153
+ 289
1154
+ 00:23:15,330 --> 00:23:18,830
1155
+ produces the stereomeric products they are the
1156
+
1157
+ 290
1158
+ 00:23:18,830 --> 00:23:22,290
1159
+ stereomers ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… at different rates ุจุณุฑุนุฉ
1160
+
1161
+ 291
1162
+ 00:23:22,290 --> 00:23:28,560
1163
+ ู…ุฎุชู„ูุฉูˆ in unequal amounts ูˆ ุจู…ู‚ุงุฏูŠุฑ ู…ุฎุชู„ูุฉ
1164
+
1165
+ 292
1166
+ 00:23:28,560 --> 00:23:35,580
1167
+ ูุงู„ุชูุงุนู„ ุณุฑุนุชู‡ ู…ุฎุชู„ูุฉ ูˆ ู…ู‚ุฏุงุฑู‡ ู…ุฎุชู„ู ูˆุงุถุญ ู‡ุฐุง
1168
+
1169
+ 293
1170
+ 00:23:35,580 --> 00:23:39,820
1171
+ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ู…ู† ุงู„ุชูุงุนู„ุงุช ุงู„ู„ุฎุตู‡ู… ุจุจุณุงุทุฉ ุงู†ุง ู„ู…ุง
1172
+
1173
+ 294
1174
+ 00:23:39,820 --> 00:23:43,500
1175
+ ุจู‚ูˆู„ ุงู‡ู… ุงู„ุชูุงุนู„ุงุช ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ stereo isomers ุงุฐุง
1176
+
1177
+ 295
1178
+ 00:23:43,500 --> 00:23:47,500
1179
+ ุจุชุนู…ู„ generation of a chiral center ุจุทู„ุน ุนู†ุฏู‡
1180
+
1181
+ 296
1182
+ 00:23:47,500 --> 00:23:52,100
1183
+ racemic mixtures ุงุฐุง ุจุชุนู…ู„ reaction away from a
1184
+
1185
+ 297
1186
+ 00:23:52,100 --> 00:23:55,720
1187
+ chiral centerููŠ ุนู†ุฏูŠ retention of configuration
1188
+
1189
+ 298
1190
+ 00:23:55,720 --> 00:23:59,660
1191
+ ุฅุฐุง ุจุฏุนู…ู„ generation of a second chiral center ููŠ
1192
+
1193
+ 299
1194
+ 00:23:59,660 --> 00:24:07,740
1195
+ ุนู†ุฏูŠ diastereomers in unequal amounts ุขุฎุฑ ุดุบู„ุฉ
1196
+
1197
+ 300
1198
+ 00:24:07,740 --> 00:24:14,180
1199
+ ุจู†ุดุฑุญู‡ุง ุจุดูƒู„ ูˆุตููŠ ูƒุจูŠุฑ ุฌุฏุง ู„ุฃู† ุงู„ุนู…ู„ูŠุฉ ุญู‚ูŠู‚ุฉ
1200
+
1201
+ 301
1202
+ 00:24:14,180 --> 00:24:21,060
1203
+ ุชูุตูŠู„ูŠุง ู…ุนู‚ุฏุฉ ูˆ ุชุทุจูŠู‚ูŠุง ุฃูˆ ุนู…ู„ูŠุง ุนู…ู„ูŠุฉ ุตุนุจุฉ ูƒุชูŠุฑ
1204
+
1205
+ 302
1206
+ 00:24:22,180 --> 00:24:26,580
1207
+ ุงู„ู„ูŠ ู‡ูŠ ุจุณู…ู‡ุง resolution of enantiomers ุงูŠุด ุงู„ู„ูŠ
1208
+
1209
+ 303
1210
+ 00:24:26,580 --> 00:24:32,320
1211
+ ุงุญู†ุง ุจู†ู‚ุตุฏู‡ ุจ resolution of enantiomers ูุตู„ ุงู„
1212
+
1213
+ 304
1214
+ 00:24:32,320 --> 00:24:36,300
1215
+ enantiomers ู‚ุจู„ ุดูˆูŠุฉ ุงุญู†ุง ุงุฎุฏู†ุง ู„ูˆ ุนู…ู„ู†ุง ุชูุงุนู„
1216
+
1217
+ 305
1218
+ 00:24:36,300 --> 00:24:41,240
1219
+ generation of chiral center ุจูŠุทู„ุน ุนู†ุฏู‡ R ูˆ S ุฎู„ุท
1220
+
1221
+ 306
1222
+ 00:24:41,240 --> 00:24:47,620
1223
+ ุงู„ุณุคุงู„ ู‡ู„ ูŠุง ุชูˆุฑุฉ ุจู†ู‚ุฏุฑ ู†ูุตู„ ุงู„ R ุนู† ุงู„ S ูˆุงุถุญุŸ
1224
+
1225
+ 307
1226
+ 00:24:48,170 --> 00:24:54,390
1227
+ ุงู„ุฌูˆุงุจ ุงู†ู‡ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ ุฌุฏุง ุฌุฏุง .. ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ
1228
+
1229
+ 308
1230
+ 00:24:54,390 --> 00:25:00,430
1231
+ ุฌุฏุง ุฌุฏุง .. ุงู„ุณุคุงู„ ู„ูŠุด ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉุŸ ู„ุฃู†ู‡ ุฏุงุฆู…ุง ูˆ
1232
+
1233
+ 309
1234
+ 00:25:00,430 --> 00:25:04,230
1235
+ ุฃุจุฏุง .. ุฏุงุฆู…ุง ูˆ ุฃุจุฏุง .. ุงุญู†ุง ุจู†ูุตู„ ุงู„ุฃุดูŠุงุก ุจู†ุงุก
1236
+
1237
+ 310
1238
+ 00:25:04,230 --> 00:25:12,210
1239
+ ุนู„ู‰ ุงู„ุงุฎุชู„ุงูุงุช ุจุชุงุนุชู‡ุง ู…ุซู„ุงุŒ ูˆุงุญุฏ ุนู†ุฏู‡ ูˆู„ุงุฏ ุงุชู†ูŠู†ุŒ
1240
+
1241
+ 311
1242
+ 00:25:12,210 --> 00:25:16,900
1243
+ ูˆุงุญุฏ ูŠูƒุณูŠุฑ ูˆ ูˆุงุญุฏ ุทูˆูŠู„ุŒ ุจุฏู‡ ูŠู…ูŠุฒู‡ู… ุนู† ุจุนุถุจุณู‡ูˆู„ุฉ
1244
+
1245
+ 312
1246
+ 00:25:16,900 --> 00:25:20,220
1247
+ ุงู„ุทูˆูŠ ุงู„ู„ูŠ ุจุชู…ูŠุฒ ุนู„ู‰ ุงู„ู‚ุตูŠุฑุŒ ุงู„ุขู† ุชุฎูŠู„ ูˆุงุญุฏ ุนู†ุฏู‡
1248
+
1249
+ 313
1250
+ 00:25:20,220 --> 00:25:25,860
1251
+ ุชูˆู‚ู… ุณูŠุงู…ูŠุŒ ูŠู…ูƒู† ุงู„ุงู… ุชูƒูˆู† ุดุงุทุฑุฉุŒ ุชู‚ุฏุฑ ุชู…ูŠุฒู‡ู…ุŒ ุจุณ
1252
+
1253
+ 314
1254
+ 00:25:25,860 --> 00:25:31,020
1255
+ ุฃูƒูŠุฏ ู…ุฏุฑุณุŒ ุฃูƒูŠุฏ ู…ุฏุฑุณุŒ
1256
+
1257
+ 315
1258
+ 00:25:31,020 --> 00:25:38,080
1259
+ ูˆุงู„ุงุชู†ูŠู† ุจูŠุดุจู‡ูˆุง ุจุนุถ ุชู…ุงู…ุงูˆ ุจูŠุดูˆูู‡ู… ู‡ูŠูƒ ู…ุด ู‡ูŠู‚ุฏุฑ
1260
+
1261
+ 316
1262
+ 00:25:38,080 --> 00:25:43,240
1263
+ ูŠู…ูŠุฒู‡ู… ุนู† ุจุนุถ ุงุชุฎูŠู„ูˆุง ู…ุซู„ุง ู„ูˆ ูƒุงู† ุนู†ุฏูƒู… ุงุชู†ูŠู† ุชูˆู‚ู…
1264
+
1265
+ 317
1266
+ 00:25:43,240 --> 00:25:51,200
1267
+ ูˆ ุงุชู†ูŠู† ู„ุงุนุจูŠู† ููŠ ู…ู„ุนุจ ูƒุฑุฉ ู‚ุฏู… ู‡ู„ ู…ู† ุงู„ู…ู…ูƒู† ุงู† ูŠุชู…
1268
+
1269
+ 318
1270
+ 00:25:51,200 --> 00:25:58,260
1271
+ ุชู…ูŠูŠุฒู‡ู… ุนู† ุจุนุถ ุจุณู‡ูˆู„ุฉ ู„ุฅู†ุณุงู† ุฎุงุฑุฌูŠ ู…ุด ู…ู…ูƒู† ูŠุชู…
1272
+
1273
+ 319
1274
+ 00:25:58,260 --> 00:26:03,810
1275
+ ุชู…ูŠูŠุฒู‡ู… ุนู† ุจุนุถ ุจุณู‡ูˆู„ุฉ ู„ุฃู†ู‡ู…ุชุดุงุจู‡ูŠู† ูŠุนู†ูŠ ุงู†ุง ุจุงุฐูƒุฑ
1276
+
1277
+ 320
1278
+ 00:26:03,810 --> 00:26:10,050
1279
+ ู…ุฑุฉ ู‚ุฑุฃุช ุงูƒุชุฑ ุงุชู†ูŠู† ู…ุชุดุงุจู‡ูŠู† ุจูŠู„ุนุจูˆุง ูƒุฑุฉ ู‚ุฏู… ูƒุงู†ูˆุง
1280
+
1281
+ 321
1282
+ 00:26:10,050 --> 00:26:14,050
1283
+ ุงู‡ ู‡ุงูŠ ุฒูŠ ู…ุง ุจุชู‚ูˆู„ ุงุณู…ู„ูƒูˆุง ุญุณุงู… ุญุณู† ูˆ ุงุจุฑุงู‡ูŠู… ุญุณู†
1284
+
1285
+ 322
1286
+ 00:26:14,050 --> 00:26:19,670
1287
+ ู‡ุฏูˆู„ุฉ ู…ุชุดุงุจู‡ูŠู† ูู…ุฑุฉ ูˆุงุญุฏ ู…ู†ู‡ู… ู…ุนู‡ ุงู†ุฐุงุฑ ูˆ ููŠ ูˆุณุท
1288
+
1289
+ 323
1290
+ 00:26:19,670 --> 00:26:23,270
1291
+ ุฒุญู…ุฉ ุนู…ู„ ุบู„ุทุฉ ุชุงู†ูŠุฉ ุจูŠุงุฎุฏ ุงู†ุฐุงุฑ ุชุงู†ูŠ ุงุด ู…ุนู†ู‰ ูŠุงุฎุฏ
1292
+
1293
+ 324
1294
+ 00:26:23,270 --> 00:26:28,870
1295
+ ุงู†ุฐุงุฑ ุชุงู†ูŠุŸุฅู†ู‡ ุจุฏู‡ ูŠูุทุฑุฏ ุฃุฎูˆู‡ ุงู†ุชุจู‡ ู…ุจุงุดุฑุฉ ูˆ ุฌุฑูŠุจ
1296
+
1297
+ 325
1298
+ 00:26:28,870 --> 00:26:32,430
1299
+ ูˆ ุงู„ู…ู†ุทู‚ุฉ ุฒุญู…ุฉ ูƒุฑุฉ ูุฑุงุญ ุจุณุฑุนุฉ ุฏุงุฑ ุธู‡ุฑู‡ ู„ู„ุญุงูƒู… ุฅู†ู‡
1300
+
1301
+ 326
1302
+ 00:26:32,430 --> 00:26:38,930
1303
+ ุฃู†ุง ู‡ุงูŠ ุฑู‚ู… ุฅูŠู‡ ูˆ ุงู„ุญุงูƒู… ู…ุงุงู†ุชุจู‡ุด ูˆ ู‡ู… ุจูŠุญูƒูˆุง ู‡ุฐุง
1304
+
1305
+ 327
1306
+ 00:26:38,930 --> 00:26:43,030
1307
+ ุงู„ูƒู„ุงู… ุนู† ู†ูุณู‡ู… ู‡ู… ุจูŠุญูƒูˆุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู† ู†ูุณู‡ู… ูŠุนู†ูŠ
1308
+
1309
+ 328
1310
+ 00:26:43,030 --> 00:26:47,770
1311
+ ุฃู†ุง ู‚ุฑุฃุชู‡ ุจุฌุฑูŠุฏุฉ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุงุชู†ูŠู† ุจูŠุดุจู‡ูˆุง ุจุนุถ ุฌุฏุง
1312
+
1313
+ 329
1314
+ 00:26:47,770 --> 00:26:54,300
1315
+ ุฅุฐุง ู…ุจุฏุฃ ุงู„ูุตู„ ู‡ูˆ ุฅูŠุดุŸุงู„ุงุฎุชู„ุงูุŒ ุฅุฐุง ู…ุงููŠุด ุงุฎุชู„ุงู
1316
+
1317
+ 330
1318
+ 00:26:54,300 --> 00:26:58,280
1319
+ ูƒูŠู ุจุฏุฃ ุฃูุตู„ ุฃุดูŠุงุก ุนู† ุจุนุถุŸ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉุŒ ุงู„ุขู† ุงู„
1320
+
1321
+ 331
1322
+ 00:26:58,280 --> 00:27:01,920
1323
+ enantiomers ุงุชุฐูƒุฑูˆุง ู…ุน ุงู„ physical appropriatism
1324
+
1325
+ 332
1326
+ 00:27:01,920 --> 00:27:06,300
1327
+ melting point ู„ูˆ ูƒู†ุช ุจุฏู‡ ุฃุนู…ู„ crystallization ู†ูุณ
1328
+
1329
+ 333
1330
+ 00:27:06,300 --> 00:27:09,880
1331
+ ุงู„ุฃุดูŠุงุก boiling point ู„ูˆ ุจุฏู‡ ุฃุนู…ู„ distillation ู†ูุณ
1332
+
1333
+ 334
1334
+ 00:27:09,880 --> 00:27:13,360
1335
+ ุงู„ุฃุดูŠุงุก polarity ู„ูˆ ุจุฏู‡ ุฃุนู…ู„ chromatography ู…ุด ู‡ุงุฏ
1336
+
1337
+ 335
1338
+ 00:27:13,360 --> 00:27:16,120
1339
+ ุงู„ุทุฑู‚ ุงู„ูุตู„ ุงู„ู„ูŠ ุงู†ุชูˆุง ุงุชุนู„ู…ุชูˆู‡ุง ููŠ ุงู„ organic lab
1340
+
1341
+ 336
1342
+ 00:27:16,690 --> 00:27:21,430
1343
+ ุงู„ูุตู„ ุจุงู„ุชู‚ุทูŠุฑ ูˆุงู„ูƒุฑูŠุณุชุงู„ูŠุฒูŠุดู† ูˆุงู„ูƒุฑูˆู…ุงุชูˆุบุฑุงูุŒ
1344
+
1345
+ 337
1346
+ 00:27:21,430 --> 00:27:25,170
1347
+ ูˆุงู†ุชุตุฑุชูˆุง ูˆุนู…ู„ู†ุง ุชุฌุงุฑุจุŒ ุงู„ุขู† ู‡ู… ู…ุดุชุฑูƒูŠู† ุจูƒู„ ู‡ุฐู‡
1348
+
1349
+ 338
1350
+ 00:27:25,170 --> 00:27:31,970
1351
+ ุงู„ุตูุงุชุŒ ุฅุฐู† ุนู…ู„ูŠุฉ ุงู„ูุตู„ ุตุนุจุฉุŒ ุงู„ุขู† ุงู„ุชููƒูŠุฑุงู„ุนุงู…
1352
+
1353
+ 339
1354
+ 00:27:31,970 --> 00:27:35,070
1355
+ ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ ูƒุงู„ุงุชูŠ ุจูŠู‚ูˆู„ูˆุง ู‡ุฏูˆู„ ุงู†ุงู†ุดูˆ ู…ุงุฑุฒ
1356
+
1357
+ 340
1358
+ 00:27:35,070 --> 00:27:40,230
1359
+ ู…ุชุดุงุจู‡ูŠู† ุจูŠูŠุฌูˆุง ุจูŠูุนู„ูˆู‡ู… ู…ุน ู…ุฑูƒุจ ุจูŠูƒูˆู† ูƒุงูŠุฑุงู„ ูˆ
1360
+
1361
+ 341
1362
+ 00:27:40,230 --> 00:27:44,610
1363
+ ุจูŠูˆุฑ ูˆ ุบุงู„ุจุง ู‡ุฐุง ู…ุฃุฎูˆุถ ู…ู† ู…ู†ุชุฌุงุช ุทุจูŠุนูŠุฉ ู„ู…ุง
1364
+
1365
+ 342
1366
+ 00:27:44,610 --> 00:27:48,710
1367
+ ูŠูุนู„ูˆู‡ู… ู…ุน ู…ุฑูƒุจ ูƒุงูŠุฑุงู„ ูˆ ุจูŠูˆุฑ ุจูŠุนุทูŠู†ุง ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ
1368
+
1369
+ 343
1370
+ 00:27:48,710 --> 00:27:53,870
1371
+ ู…ุงุฑุฒ ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ ู…ุงุฑุฒ ุจุชุฐูƒุฑูˆุง ุฅูŠุด ูƒุงู† ุงู„ุนู„ุงู‚ุฉ
1372
+
1373
+ 344
1374
+ 00:27:53,870 --> 00:27:55,730
1375
+ ุจูŠู†ู‡ู… ุจุงู„ physical propertiesุŸ
1376
+
1377
+ 345
1378
+ 00:27:59,900 --> 00:28:04,280
1379
+ ุงุชุทู„ุนูˆุง ุงูŠุด ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ ู…ุงู„ุฒุŸ they have different
1380
+
1381
+ 346
1382
+ 00:28:04,280 --> 00:28:07,740
1383
+ physical properties ุงู„ enantiomers they have the
1384
+
1385
+ 347
1386
+ 00:28:07,740 --> 00:28:11,000
1387
+ same physical properties ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ู…ุง ุงู†ุง
1388
+
1389
+ 348
1390
+ 00:28:11,000 --> 00:28:14,480
1391
+ ุจูุนู„ู‡ู… ู…ุน chiral compound ุจุตูŠุฑ ุนู†ุฏู‰ ุจุฏู„ ู…ุง ู‡ู… two
1392
+
1393
+ 349
1394
+ 00:28:14,480 --> 00:28:19,340
1395
+ enantiomers ู…ุชุดุงุจู‡ูŠู† ุจุตูŠุฑ ุนู†ุฏู‰ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆู…ุงุฑุฒ
1396
+
1397
+ 350
1398
+ 00:28:19,340 --> 00:28:24,140
1399
+ ู…ุฎุชู„ูุงุช ุจุงู„ physical properties ุทุงู„ู…ุง ุฃู†ู‡ู… ู…ุฎุชู„ูุงุช
1400
+
1401
+ 351
1402
+ 00:28:24,140 --> 00:28:27,960
1403
+ ุจุงู„ physical properties ุฅุฐุง ุจุฅู…ูƒุงู†ูŠ ุฃูุตู„ู‡ู… ุจุงู„ุทุฑู‚
1404
+
1405
+ 352
1406
+ 00:28:27,960 --> 00:28:32,640
1407
+ ุงู„ูƒูŠู…ูŠุงุฆูŠุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุจุฃูุตู„ ุง๏ฟฝ๏ฟฝูƒุงูŠุฑุฉ ุงู„ compound ู…ุน
1408
+
1409
+ 353
1410
+ 00:28:32,640 --> 00:28:35,260
1411
+ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ูุนู„ุชู‡ ู…ุนู‡ุง ูˆ ุงู„ูƒุงูŠุฑุฉ ุงู„ุชุงู†ูŠุฉ ู…ุน ุงู„ู…ุงุฏุฉ
1412
+
1413
+ 354
1414
+ 00:28:35,260 --> 00:28:40,960
1415
+ ุงู„ู„ูŠ ูุนู„ุชู‡ ู…ุนู‡ุง ุจุนุฏ ุฐู„ูƒ ุจู„ุฒู…ู†ูŠ ุชุฌุฑุจุฉ ุฃูƒุณุฑ ุงู„ู…ุงุฏุฉ
1416
+
1417
+ 355
1418
+ 00:28:40,960 --> 00:28:45,360
1419
+ ุงู„ู„ูŠ ุถูุชู‡ุง ูˆ ุฃุฑุฏ ุฃู†ู‚ูŠู‡ู… ุงู„ุขู† ุชุทุจูŠู‚ูŠุง ู‡ุฐู‡ ุงู„ุนู…ู„ูŠุฉ
1420
+
1421
+ 356
1422
+ 00:28:46,340 --> 00:28:49,580
1423
+ ุตุนุจุฉ ูŠุนู†ูŠ ุงูŠ ูˆุงุญุฏ ุจูŠุนู…ู„ ุฑุณุงู„ุฉ ู…ุงุฌุณุชูŠุฑ ูˆ ุนู†ุฏู‡ pair
1424
+
1425
+ 357
1426
+ 00:28:49,580 --> 00:28:53,400
1427
+ of enanchomers ุจุฏู‡ ูŠู†ุฌูŠ ุงู„ู…ุชูุงุนู„ุงุช ุงู„ุฌูŠุฏุฉ ูˆ
1428
+
1429
+ 358
1430
+ 00:28:53,400 --> 00:28:57,840
1431
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฌูŠุฏุฉ ู„ูุตู„ู‡ู… ูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฌูŠุฏุฉ ู„ุชูƒุณูŠุฑู‡ู… ูˆ
1432
+
1433
+ 359
1434
+ 00:28:57,840 --> 00:29:00,860
1435
+ ุจุนุฏ ู…ุง ูŠูƒุณุฑูˆุง ูŠุตูŠุฑูˆุง ู…ุฑูƒุจูŠู† ูŠุนูˆุฏูˆุง ูŠููƒูˆุง ุงู„ู…ุฑูƒุจูŠู†
1436
+
1437
+ 360
1438
+ 00:29:00,860 --> 00:29:06,000
1439
+ ุนู† ุจุนุถ ุจูŠุงุฎุฏูˆุง ุณู†ุฉ ุณู†ุชูŠู† ุดุบู„ ุงู‡ ุจุญูƒูŠ ุนู† ุณู†ุฉ ุณู†ุชูŠู†
1440
+
1441
+ 361
1442
+ 00:29:06,000 --> 00:29:11,480
1443
+ ุดุบู„ ูˆ ู‡ูˆ ูŠุนู…ู„ ุชุฌุงุฑุจ ูˆ ูŠุดุชุบู„ ุงุญุฏ ุฒู…ู„ุงุกู†ุง ุฏุงู„ูˆุง
1444
+
1445
+ 362
1446
+ 00:29:11,480 --> 00:29:17,930
1447
+ ุญูˆุงู„ูŠ ุงุฑุจุน ุณู†ูŠู† ูˆ ู‡ูˆ ุจูŠูุตู„ enanchomersุงู„ุนู…ู„ูŠุฉ ู„ูŠุณุช
1448
+
1449
+ 363
1450
+ 00:29:17,930 --> 00:29:22,930
1451
+ ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุฃูˆ ุนู…ู„ูŠุฉ ุจุณูŠุทุฉ ู„ูƒู† ุงู„ููƒุฑุฉ ุงู„ุฃุณุงุณูŠุฉ
1452
+
1453
+ 364
1454
+ 00:29:22,930 --> 00:29:28,550
1455
+ ุชุญูˆูŠู„ ุงู„ enantiomers ุงู„ู…ุชุดุงุจุนุฉ ุจุงู„ุฎูˆุงุต ุงู„ููŠุฒูŠุงุฆูŠุฉ
1456
+
1457
+ 365
1458
+ 00:29:28,550 --> 00:29:32,150
1459
+ ุฅู„ู‰ diastereomers ู…ุฎุชู„ูุฉ ุจุงู„ุฎูˆุงุต ุงู„ููŠุฒูŠุงุฆูŠุฉ
1460
+
1461
+ 366
1462
+ 00:29:32,150 --> 00:29:37,980
1463
+ ุงู„ุชูุตูŠู„ ู„ุทู„ุงุจูŠู…ูƒู† ูŠูƒูˆู†ูˆุง ู…ุชุฎุตุตูŠู† ุงูƒุชุฑ ู…ู†ูƒูˆุง ูˆ ุงู†ุง
1464
+
1465
+ 367
1466
+ 00:29:37,980 --> 00:29:40,760
1467
+ ุจุฃูƒุฏู„ูƒูˆุง ุงู†ู‡ ู…ุด ููŠ ู…ุฑุญู„ุฉ ุงู„ bachelor's ู„ูˆ ูˆุงุญุฏ
1468
+
1469
+ 368
1470
+ 00:29:40,760 --> 00:29:45,320
1471
+ ุจูŠุดุชุบู„ ุจุญุซ ููŠ ู…ุฑุญู„ุฉ ู…ุงุฌุณุชูŠุฑ ู„ู…ุง ูŠุจุฏุฃ ูŠุนูˆุฏ ูŠุชุทุฑู‚
1472
+
1473
+ 369
1474
+ 00:29:45,320 --> 00:29:51,840
1475
+ ู„ู‡ุง ุงู„ุฃู…ูˆุฑ ู‡ุฐู‡ ูˆุงุถุญุŸ ุงุจู† ู‡ูŠูƒ ุชู‚ุฑูŠุจุง ุจู†ูƒูˆู† ุฃุฎุฏู†ุง
1476
+
1477
+ 370
1478
+ 00:29:51,840 --> 00:29:59,240
1479
+ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ููƒุฑุฉ ู…ู‚ุจูˆู„ุฉ ุงูˆ ุฌูŠุฏุฉ ููŠ ู…ูˆุถูˆุน chapter 5
1480
+
1481
+ 371
1482
+ 00:29:59,240 --> 00:30:01,420
1483
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ stereo chemistry
1484
+
1485
+ 372
1486
+ 00:30:04,850 --> 00:30:08,330
1487
+ ู„ุฃ ู„ุฃ ุจุฏู†ุง ู†ุนู…ู„ .. ุจุฏู†ุง ู†ุนู…ู„ ู…ู‚ุฏู…ุฉ ุนุดุงู† ุงู„ู…ุฑุฉ
1488
+
1489
+ 373
1490
+ 00:30:08,330 --> 00:30:16,450
1491
+ ุงู„ุฌุงูŠุฉ ู†ูƒูˆู† .. ูŠุนู†ูŠ ู†ุจุฏุฃ ุจุดูƒู„ ุณุฑูŠุน ู…ู‚ุฏู…ุฉ ุนู„ู‰ ุงู„ูุตู„
1492
+
1493
+ 374
1494
+ 00:30:16,450 --> 00:30:23,850
1495
+ ุงู„ู„ูŠ ุจุนุฏ ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ alkyl halides ุงู„ alkyl
1496
+
1497
+ 375
1498
+ 00:30:23,850 --> 00:30:28,850
1499
+ halides ุฑุจู…ุง ู…ุฑูˆุง ุนู„ูŠูƒู… ุงู„ู„ูŠ ู‡ู… ุงู„ R ุงู„ุญุงู…ู„ุฉ
1500
+
1501
+ 376
1502
+ 00:30:35,650 --> 00:30:39,630
1503
+ ุงู„ุนุงุฆู„ุฉ ุงู„ูƒู„ ู‡ูŠู„ุงูŠุช
1504
+
1505
+ 377
1506
+ 00:30:48,770 --> 00:30:51,890
1507
+ ู„ูˆ ุจุฏู†ุง ู†ุทู„ุน ุนู„ู‰ ุงู„ slides ุงู„ ุงู„ูƒุงู„ู‡ูŠู„ูŠุฏุฒ
1508
+
1509
+ 378
1510
+ 00:30:51,890 --> 00:30:58,430
1511
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1512
+
1513
+ 379
1514
+ 00:30:58,430 --> 00:31:02,130
1515
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1516
+
1517
+ 380
1518
+ 00:31:02,130 --> 00:31:05,310
1519
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1520
+
1521
+ 381
1522
+ 00:31:05,310 --> 00:31:06,330
1523
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1524
+
1525
+ 382
1526
+ 00:31:06,330 --> 00:31:06,530
1527
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1528
+
1529
+ 383
1530
+ 00:31:06,530 --> 00:31:08,610
1531
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1532
+
1533
+ 384
1534
+ 00:31:08,610 --> 00:31:13,080
1535
+ ุงู„ู‡ุงู„ูˆุฌูŠู†our group ุญุงู…ู„ุฉ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1536
+
1537
+ 385
1538
+ 00:31:13,080 --> 00:31:17,240
1539
+ ูู„ูˆุฑูŠู† ูƒู„ูˆุฑูŠู† ุจุฑูˆู…ูŠู† ุงูˆ ุงูŠูˆุฏูŠู† attached to an
1540
+
1541
+ 386
1542
+ 00:31:17,240 --> 00:31:21,860
1543
+ alkyl group ุทุจุนุง ุจุฏูƒูˆุง ุชู†ุชุจู‡ูˆุง ุงู† ููŠ ุนู†ุฏ ุงุฑูŠู„
1544
+
1545
+ 387
1546
+ 00:31:21,860 --> 00:31:29,140
1547
+ ู‡ูŠู„ุงูŠุชุฒุงู„ู„ูŠ ู‡ูˆ ู„ู…ุง ูŠูƒูˆู† ุงู„ุจู†ุฒูŠู† ุญุงู…ู„ ูƒู„ูˆุฑ ุฃูˆ ุจุฑูˆู…
1548
+
1549
+ 388
1550
+ 00:31:29,140 --> 00:31:33,840
1551
+ ุฃูˆ whatever ุฅุฐุง ููŠ ุนู†ุฏู‡ ุฅูŠุดุŸ Alkyl Halides ูˆููŠ
1552
+
1553
+ 389
1554
+ 00:31:33,840 --> 00:31:39,160
1555
+ ุนู†ุฏู‡ Aryl Halides ุงู„ Alkyl Halides ุจูŠุงุฎุฏูˆุง ุงู„ุงุณู…
1556
+
1557
+ 390
1558
+ 00:31:39,160 --> 00:31:46,260
1559
+ ุงู„ุนุงู… ุฅูŠุดุŸ RCL ุงู„ Alkyl .. ุงู„ Aryl Halides ARCL
1560
+
1561
+ 391
1562
+ 00:31:46,260 --> 00:31:50,200
1563
+ ุงู„ู„ูŠ ู‡ู… ุฏูˆู„ุฉ ุชุนูˆู†ูŠ ุงู„ุจู†ุฒูŠู† ุงู„ูŠูˆู… ู…ูˆุถูˆุน ุงู„ุฏุฑุณ ุชุจุนู†ุง
1564
+
1565
+ 392
1566
+ 00:31:51,400 --> 00:31:55,240
1567
+ ุงู„ูƒู„ ู‡ูŠู„ุงูŠุชุฒ ุงู„ุงุฑู„ ู‡ูŠู„ุงูŠุชุฒ ู…ุฎุชู„ููŠู† ุจุงู„ุฎูˆุงุต
1568
+
1569
+ 393
1570
+ 00:31:55,240 --> 00:31:59,380
1571
+ ูˆุงู„ุชูุงุนู„ุงุช ูŠุนู†ูŠ ู‡ุฏูˆู„ุฉ ูŠุนุชุจุฑูˆุง ู‚ุตุฉ ูˆ ู‡ุฏูˆู„ ูŠุนุชุจุฑูˆุง
1572
+
1573
+ 394
1574
+ 00:31:59,380 --> 00:32:03,980
1575
+ ู‚ุตุฉ ุชุงู†ูŠุฉ ุงู„ูŠูˆู… ุงู„ู…ูˆุถูˆุน ุชุจุนู†ุง ุงู„ูƒู„ ู‡ูŠู„ุงูŠุชุฒ ุงู„ุงุฑู„
1576
+
1577
+ 395
1578
+ 00:32:03,980 --> 00:32:08,560
1579
+ ู‡ูŠู„ุงูŠุชุฒ ๏ฟฝ๏ฟฝุฎุชู„ููŠู† ุจูƒู„ ุงู„ูƒู„ุงู… ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุชุณุนูŠู† ููŠ
1580
+
1581
+ 396
1582
+ 00:32:08,560 --> 00:32:11,260
1583
+ ุงู„ู…ูŠุฉ ุงูˆ ุงูƒุชุฑ ู…ู† ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจู†ุง ู†ุญูƒูŠู‡ ูˆ ุงู„ุชูุงุนู„ุงุช
1584
+
1585
+ 397
1586
+ 00:32:11,260 --> 00:32:16,140
1587
+ ุงู„ู„ูŠ ุจู†ุง ู†ุญูƒูŠู‡ุง ุจุชุธุจุทุงู† ู…ุงุจุชู…ุดูŠุด ู‡ู†ุง ูˆุงุถุญ ูุฏุฑุณู†ุง
1588
+
1589
+ 398
1590
+ 00:32:16,140 --> 00:32:21,240
1591
+ ุจุงู„ุธุจุท ุงูŠุดุงู„ุงู„ูƒุงู„ู‡ูŠู„ุงูŠุชุฒ ู…ุด ุงู„ ุงู„ู‡ูŠู„ุงูŠุชุฒ
1592
+
1593
+ 399
1594
+ 00:32:21,240 --> 00:32:24,700
1595
+ ุงู„ุงู„ูƒุงู„ู‡ูŠู„ุงูŠุชุฒ
1596
+
1597
+ 400
1598
+ 00:32:24,700 --> 00:32:31,180
1599
+ ู‡ุฐู‡ ุจุชู‚ุณู… ุชุตู†ูŠูุง ุฅู„ู‰ ุนุฏุฉ ุฃู†ูˆุงุน ุฅุฐุง ูƒุงู†ุช ุงู„ู‡ุงู„ูˆุฌูŠู†
1600
+
1601
+ 401
1602
+ 00:32:31,180 --> 00:32:37,940
1603
+ ู…ุชุตู„ุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉุจู†ู‚ูˆู„ ุนู†ุฏู‰ primary
1604
+
1605
+ 402
1606
+ 00:32:37,940 --> 00:32:42,140
1607
+ alkaline halide ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุฃูˆู„ ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุชุงู†ู‰
1608
+
1609
+ 403
1610
+ 00:32:42,140 --> 00:32:46,700
1611
+ ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุชุงู„ู ููŠู‡ู… ูƒู„ู‡ู… ุงู„ halogen ู…ุชุตู„ุฉ
1612
+
1613
+ 404
1614
+ 00:32:46,700 --> 00:32:51,860
1615
+ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉ ูˆ ุงู„ูƒุฑุจูˆู†ุฉ ุนุจุงุฑุฉ ุนู† CH2 ู‡ูŠ ููŠ ูƒู„
1616
+
1617
+ 405
1618
+ 00:32:51,860 --> 00:32:54,280
1619
+ ุงู„ุฃุญูˆุงู„ ุงู„ halogen ู…ุชุตู„ุฉ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉ ู„ูƒู†
1620
+
1621
+ 406
1622
+ 00:32:54,280 --> 00:32:59,720
1623
+ ุงู„ูƒุฑุจูˆู†ุฉ ุจุนุฏ ู‡ูŠูƒ ู…ุชุตู„ุฉ ุจูƒู… ูƒุฑุจูˆู† ูˆุงุญุฏุฉ ูŠุนู†ู‰ ู‡ู†ุง ุงู„
1624
+
1625
+ 407
1626
+ 00:32:59,720 --> 00:33:04,540
1627
+ halogen ุงู„ูƒุฑุจูˆู† ุชุจุนุชู‡ ู…ุชุตู„ุฉ ุจ bond ูˆุงุญุฏุฉ ุดุงูŠููŠู†
1628
+
1629
+ 408
1630
+ 00:33:04,540 --> 00:33:13,590
1631
+ ุงู„ู„ูˆู† ุฃุฎุถุฑู‡ุฐุง ุงู„ูƒุฑุจูˆู† ุชุนุชุจุฑ ุงู„ู‡ุงู„ูˆุฌูŠู†
1632
+
1633
+ 409
1634
+ 00:33:13,590 --> 00:33:15,870
1635
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1636
+
1637
+ 410
1638
+ 00:33:15,870 --> 00:33:17,790
1639
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1640
+
1641
+ 411
1642
+ 00:33:17,790 --> 00:33:17,850
1643
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1644
+
1645
+ 412
1646
+ 00:33:17,850 --> 00:33:21,350
1647
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†ุฃู‡ ุจุชูƒูˆู†
1648
+
1649
+ 413
1650
+ 00:33:21,350 --> 00:33:25,690
1651
+ ุงูŠุด ุงู„ alkyl halide ู†ูˆุนู‡ุŸ secondary alkyl halide
1652
+
1653
+ 414
1654
+ 00:33:25,690 --> 00:33:31,110
1655
+ ุทูŠุจ ูˆุฅุฐุง ุงู„ halogen ู…ุชุตู„ ุจูƒุฑุจูˆู†ุฉ ู…ุชุตู„ุฉ ุงู„ ุชู„ุช
1656
+
1657
+ 415
1658
+ 00:33:31,110 --> 00:33:35,670
1659
+ ูƒุฑุจูˆู†ุงุช ุดูˆ ุจูŠูƒูˆู† ุนู†ุฏูƒุŸ tertiary alkyl halides ุฅุฐุง
1660
+
1661
+ 416
1662
+ 00:33:35,670 --> 00:33:39,350
1663
+ ุงู„ alkyl halides ุญุณุจ ุงู„ูƒุฑุจูˆู†ุฉ ุงู„ู„ูŠ ุญุงู…ู„ุฉ ุงู„
1664
+
1665
+ 417
1666
+ 00:33:39,350 --> 00:33:43,980
1667
+ halogenุญุณุจ ุงู„ูƒุฑุจูˆู†ุฉ ุงู„ู„ูŠ ุญุงู…ู„ุฉ ุงู„ู‡ุงู„ูˆุฌูŠู† ู…ู…ูƒู† ู†ู‚ูˆู„
1668
+
1669
+ 418
1670
+ 00:33:43,980 --> 00:33:49,300
1671
+ ุนู†ู‡ู… primary ุฃูˆ secondary ุฃูˆ tertiary ูˆู‡ุฐุง ุงู„
1672
+
1673
+ 419
1674
+ 00:33:49,300 --> 00:33:53,000
1675
+ classification ุฃูˆ ุงู„ุชุตู†ูŠู ู‡ูŠู„ุฒู…ู†ุง ูƒุชูŠุฑ ุฃุซู†ุงุก ู…ุง
1676
+
1677
+ 420
1678
+ 00:33:53,000 --> 00:33:56,160
1679
+ ุจู†ุดุฑุญ ุชูุงุนู„ุงุช ุงู„alkyl halides ุจุชู„ุงู‚ูˆู„ู†ุง ุจู†ู‚ูˆู„ ุงู†
1680
+
1681
+ 421
1682
+ 00:33:56,160 --> 00:33:58,640
1683
+ this is a primary alkyl halide, this is a
1684
+
1685
+ 422
1686
+ 00:33:58,640 --> 00:34:01,920
1687
+ secondary alkyl halide, this is a tertiary alkyl
1688
+
1689
+ 423
1690
+ 00:34:01,920 --> 00:34:08,440
1691
+ halide and so on ููŠ ู…ูˆุถูˆุน ุงู„alkyl halide ุจูŠุฌูŠู†ุง
1692
+
1693
+ 424
1694
+ 00:34:08,440 --> 00:34:19,380
1695
+ ู†ู‚ุทุฉู„ูˆ ูŠุง ุชูˆุฑุฉ ุจุฏู†ุง ู†ุชุฐูƒุฑ ุงู„ู‚ุทุจูŠุฉ ุชุจุนุช ุงู„ R X ุทุจุนุง
1696
+
1697
+ 425
1698
+ 00:34:19,380 --> 00:34:25,560
1699
+ ุงู„ R ู…ุชุตู„ุฉ ุจุงู„ X ู…ู† ุฎู„ุงู„ ุฐุฑุฉ ูƒุฑุจูˆู† ุงู„ X ู‡ูŠ ุงู„
1700
+
1701
+ 426
1702
+ 00:34:25,560 --> 00:34:31,220
1703
+ halogen ู…ุชุตู„ุฉ ู…ู† ุฎู„ุงู„ ุฐุฑุฉ ูƒุฑุจูˆู† ุงุฐุง ุงู†ุง ู…ู…ูƒู† ูŠูƒูˆู†
1704
+
1705
+ 427
1706
+ 00:34:31,220 --> 00:34:34,900
1707
+ ุนู†ุฏูŠ ุงู„ูƒุฑุจูˆู† ุงู„ู…ุชุตู„ ุจุงู„ H ุฏูŠ ููŠ ุงู„ุงู„ูƒูŠู„ ู„ู…ุง ุจูŠุตูŠุฑ
1708
+
1709
+ 428
1710
+ 00:34:34,900 --> 00:34:40,330
1711
+ ุงู„ ุงู„ู‡ูŠู„ุงูŠุฏ ูŠุง ูƒุฑุจูˆู† ู…ุชุตู„ุฉุจูู„ูˆุฑูŠู†ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ
1712
+
1713
+ 429
1714
+ 00:34:40,330 --> 00:34:44,290
1715
+ ุจูƒู„ูˆุฑูŠู†ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ ุจุจุฑูˆู…ูŠู„ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ
1716
+
1717
+ 430
1718
+ 00:34:44,290 --> 00:34:49,890
1719
+ ุจุงูŠูˆุฏูŠู„ ู„ูˆ ุฅุฌูŠุช ุดูˆูุช ุงู„ polarity ู„ู„ bondsุŒ ุจุดูƒู„
1720
+
1721
+ 431
1722
+ 00:34:49,890 --> 00:34:55,270
1723
+ ุนุงู… ุฃู‚ู„ polarity ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒุงุฑุจูˆู†ุŒ ุงู„ูู„ูˆุฑูŠู†
1724
+
1725
+ 432
1726
+ 00:34:55,270 --> 00:35:00,230
1727
+ ุฃุนู„ู‰ polarity ุจุฃุฑุจุนุฉ ุฃูˆ ุฃุฑุจุนุฉ ูˆูƒุณุฑ ุตุบูŠุฑุŒ ูˆุงู„ูƒู„ูˆุฑ
1728
+
1729
+ 433
1730
+ 00:35:00,230 --> 00:35:03,230
1731
+ ุงู„ุชู„ุงุชุฉ ูˆุงู„ุจุฑูˆู…ูŠ ุงุชู†ูŠู† ูˆุงุชู…ุงู† ุนุดุฑ ุงู„ูŠูˆู… ุชู‚ุฑูŠุจุง ุฒูŠ
1732
+
1733
+ 434
1734
+ 00:35:03,230 --> 00:35:08,190
1735
+ ุงู„ูƒุงุฑุจูˆู†ุŒ ู†ูˆุนุง ู…ุงุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุฏุงุฆู…ุง ู„ู…ุง ุจุฏุฃ ุฃุฌุฏ
1736
+
1737
+ 435
1738
+ 00:35:08,190 --> 00:35:12,090
1739
+ ุฃุดูˆู ุงู„ carbon halogen bond ูˆูŠู† ุงู„ู„ูŠ ุจุฏู‡ ูŠูƒูˆู†
1740
+
1741
+ 436
1742
+ 00:35:12,090 --> 00:35:18,170
1743
+ ุงู„ุทุฑู ุงู„ุณุงู„ุจ ุงู„ halogen ูˆ ุงู„ุทุฑู ุงู„ู…ูˆุฌุจ ุงู„ carbon
1744
+
1745
+ 437
1746
+ 00:35:18,170 --> 00:35:25,330
1747
+ ูุงู„ุฑุงุจุท ุงู„ carbon halogen bond is a polar bond the
1748
+
1749
+ 438
1750
+ 00:35:25,330 --> 00:35:30,490
1751
+ positive end is the carbon end and the negative
1752
+
1753
+ 439
1754
+ 00:35:30,490 --> 00:35:34,350
1755
+ end is the halogen end ุฏ๏ฟฝ๏ฟฝุฆู…ุง ู„ู…ุง ุจุฏู†ุง ู†ุญุท
1756
+
1757
+ 440
1758
+ 00:35:45,790 --> 00:35:53,930
1759
+ ู‚ูˆุฉ ุงู„ุฑูˆุงุจุท ูƒุงุฑุจูˆู† ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏ 413 ูƒุฌูˆู„ ู„ูƒู„ ู…ูˆู„
1760
+
1761
+ 441
1762
+ 00:35:55,050 --> 00:36:02,950
1763
+ ุงู„ูƒุงุฑุจูˆู† ูู„ูˆุฑ 467 strong ุงู„ูƒุงุฑุจูˆู† ูƒู„ูˆุฑ 346 ุจุฏุฃุช
1764
+
1765
+ 442
1766
+ 00:36:02,950 --> 00:36:09,850
1767
+ ุฃุดู‡ุฑ ุตูŠุฑ ุงู„ุฑุงุจุทุฉ ุชุจุนู‡ ุงู„ูƒุงุฑุจูˆู† ุจุฑูˆู… 290 ุงู„ูƒุงุฑุจูˆู†
1768
+
1769
+ 443
1770
+ 00:36:09,850 --> 00:36:13,810
1771
+ ูŠูˆุช ุชู‚ุฑูŠุจุง non polar ู„ุญุธู‡ ู„ุฃู† ุงู„ electronegativity
1772
+
1773
+ 444
1774
+ 00:36:13,810 --> 00:36:20,610
1775
+ ู†ูˆุนุง ู…ุง ู†ูุณ ุงู„ุฃุดูŠุงุก 228 ุฅุฐู† ุฃู†ูŠุฉ ุฃุถุนู ุฑุงุจุทุฉ
1776
+
1777
+ 445
1778
+ 00:36:20,610 --> 00:36:28,150
1779
+ ุงู„ูƒุงุฑุจูˆู† ู…ุน ุงู„ูŠูˆุชุฃุถุนู ุฑุงุจุทุฉ ูŠุนู†ูŠ ุจุชู†ูƒุณุฑ ุจุณู‡ูˆู„ุฉุŒ
1780
+
1781
+ 446
1782
+ 00:36:28,150 --> 00:36:33,830
1783
+ ุฃุถุนู ุฑุงุจุทุฉ ูŠุนู†ูŠ ุจุชู†ูƒุณุฑ ุจุณู‡ูˆู„ุฉุŒ ุนุดุงู† ู‡ูŠูƒ ุงู„ู…ุฑูƒุจุงุช
1784
+
1785
+ 447
1786
+ 00:36:33,830 --> 00:36:39,670
1787
+ ุงู„ู„ูŠ ููŠู‡ุง ูŠูˆุฏ ู…ู…ูƒู† ุงู„ูŠูˆุฏ ุจุงู„ุญุฑุงุฑุฉ ุงู„ุนุงุฏูŠุฉ ุฃูˆ ุจุทูˆุก
1788
+
1789
+ 448
1790
+ 00:36:39,670 --> 00:36:43,970
1791
+ ุงู„ุดู…ุณ ุงู„ุนุงุฏู‰ ูŠูƒุณุฑ ุนู† ุงู„ู…ุฑูƒุจุŒ ู‡ุฐู‡ ุฑุงุจุทุฉ ุถุนูŠูุฉุŒ
1792
+
1793
+ 449
1794
+ 00:36:43,970 --> 00:36:50,550
1795
+ ุฑุงุจุทุฉ ุงู„ carbon ู…ุน ุงู„ูŠูˆุฏ ู‡ูŠ ุฑุงุจุทุฉุถุนูŠูุฉ ู…ู…ูƒู† ุทุจุนุง
1796
+
1797
+ 450
1798
+ 00:36:50,550 --> 00:36:55,230
1799
+ ุงุญู†ุง ู†ูุณุฑ ุถุนู ุงู„ุฑุงุจุทุฉ ู…ู…ูƒู† ู†ูุณุฑ ุถุนู ุงู„ุฑุงุจุทุฉ ุชู†ุณูˆุด
1800
+
1801
+ 451
1802
+ 00:36:55,230 --> 00:36:58,570
1803
+ ุงู†ู‡ ุงู„ carbon ููŠ ุฃูˆู„ ุงู„ุฌุฏูˆู„ ุงู„ุฏูˆุฑูŠ ุงู„ carbon ููŠ
1804
+
1805
+ 452
1806
+ 00:36:58,570 --> 00:37:03,650
1807
+ ุฃูˆู„ ุงู„ุฌุฏูˆู„ ุงู„ุฏูˆุฑูŠ ุฐุฑุฉ ุฅูŠู‡ ุดู…ุงู„ู‡ุง ุตุบูŠุฑุฉ ุฐุฑุฉ ุตุบูŠุฑุฉ
1808
+
1809
+ 453
1810
+ 00:37:03,650 --> 00:37:09,830
1811
+ ุงู„ูŠูˆุช ุชุญุช ุฐุฑุฉ ูƒุจูŠุฑุฉ ุงู„ุขู† ุจุดูƒู„ ุนุงู… ุงุญู†ุง ุจู†ู‚ูˆู„ ููŠ
1812
+
1813
+ 454
1814
+ 00:37:09,830 --> 00:37:13,960
1815
+ ุงู„ูƒูŠู…ูŠุง ููŠ ุนู†ุฏู†ุง ู‚ุงุนุฏุฉุจุชู‚ูˆู„ ุงู„ hard ุฏุงูŠู…ุง ุชุจูŠุฌูŠ ู…ุน
1816
+
1817
+ 455
1818
+ 00:37:13,960 --> 00:37:18,440
1819
+ ุงู„ hardุŒ ุงู„ูƒุจูŠุฑ ู…ุน ุงู„ูƒุจูŠุฑุŒ ูˆุงู„ุตุบูŠุฑ ู…ุน ุงู„ุตุบูŠุฑุŒ ู‡ุฐู‡
1820
+
1821
+ 456
1822
+ 00:37:18,440 --> 00:37:23,540
1823
+ ุงู„ู‚ุงุนุฏุฉ ู…ุด ุจุณ ูƒูŠู…ูŠุงุฆูŠุฉุŒ ู‡ูŠ ู‚ุงุนุฏุฉ ุฅู†ุณุงู†ูŠุฉุŒ ูŠุนู†ูŠ ู„ูˆ
1824
+
1825
+ 457
1826
+ 00:37:23,540 --> 00:37:27,240
1827
+ ูˆุงุญุฏุฉ ู…ู†ูƒูˆุง ููŠ ุงู„ู…ุณุชู‚ุจู„ ุฑุงุญุช ุชุฒูˆุฑ ุตุงุญุจุชู‡ุง ุจุนุฏ ุฎู…ุณ
1828
+
1829
+ 458
1830
+ 00:37:27,240 --> 00:37:30,720
1831
+ ุณู†ูŠู†ุŒ ู…ุง ุดุงุก ุงู„ู„ู‡ ุนู†ุฏู‡ุง ุทูู„ูŠู†ุŒ ูˆู‡ุฐู‡ ุนู†ุฏู‡ุง ุทูู„ูŠู†ุŒ
1832
+
1833
+ 459
1834
+ 00:37:30,720 --> 00:37:34,780
1835
+ ูˆู‚ุนุฏูˆุง ููŠ ุงู„ุญุฏูŠู‚ุฉ ุชุญุช ุงู„ู…ู†ุฒู„ุŒ ุฅูŠุด ุงู„ูˆุถุน ุงู„ุทุจูŠุนูŠุŸ
1836
+
1837
+ 460
1838
+ 00:37:35,950 --> 00:37:39,010
1839
+ ุฅู†ู‡ ุงู„ุฅู…ูŠุงุช ุงู„ุชูŠู† ุชูŠู† ู…ุน ุจุนุถ ูˆ ุจูŠุญูƒูˆุง ูˆ ุงู† ุดุงุก
1840
+
1841
+ 461
1842
+ 00:37:39,010 --> 00:37:42,650
1843
+ ุงู„ู„ู‡ ู…ุงูŠุญูƒูˆุด ุฅู„ุง ุฎูŠุฑ ูˆ ุงู„ุฃูˆู„ุงุฏ ุงู„ุตุบุงุฑ ู…ุน ุจุนุถ ูˆ
1844
+
1845
+ 462
1846
+ 00:37:42,650 --> 00:37:45,950
1847
+ ุจูŠุชู…ุดูƒู„ูˆุง ูˆ ุงู† ุดุงุก ุงู„ู„ู‡ ู…ุงูŠุนู…ู„ูˆุด ู…ุดุงูƒู„ ุงู„ูƒุจูŠุฑ ู…ุน
1848
+
1849
+ 463
1850
+ 00:37:45,950 --> 00:37:50,810
1851
+ ุงู„ูƒุจูŠุฑ ูˆ ุงู„ุตุบูŠุฑ ู…ุน ุงู„ุตุบูŠุฑ ู‡ุฐุง ูˆุถุน ุทุจูŠุนูŠ ููŠ ุงู„ุฏู†ูŠุง
1852
+
1853
+ 464
1854
+ 00:37:50,810 --> 00:37:55,330
1855
+ ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ู„ูˆ ุฃู†ุชูˆุง ู„ุงุญุธุชู… ู…ุซู„ุง ุฑุฌุงู„ ุนู…ุฑู‡ ุฎู…ุณุฉ ูˆ
1856
+
1857
+ 465
1858
+ 00:37:55,330 --> 00:38:01,670
1859
+ ุฎู…ุณูŠู† ุณุชูŠู† ุณู†ุฉ ูˆ ู…ุตุงุญุจ ูˆู„ุฏ ุตุบูŠุฑู…ุงุญุฏุด ุจูŠู‚ุจู„ู‡ุงุŒ ูŠุนู†ูŠ
1860
+
1861
+ 466
1862
+ 00:38:01,670 --> 00:38:06,190
1863
+ ู…ุงููŠุด ู…ู†ุทู‚ุŒ ู„ุงุฒู… ูŠูƒูˆู† ู†ูˆุน ู…ู† ุฅูŠุดุŸ ู†ูˆุน ู…ู† ุงู„ุชูƒุงูุคุŒ
1864
+
1865
+ 467
1866
+ 00:38:06,190 --> 00:38:09,730
1867
+ ุญุชู‰ ุงู„ุชูƒุงูุค ู…ุด ุจุณ ุจุงู„ุตุญุจุฉุŒ ุงู„ูŠูˆู… ุตุงุฑูˆุง ูŠุฎู„ูˆู‡
1868
+
1869
+ 468
1870
+ 00:38:09,730 --> 00:38:14,170
1871
+ ุจุงู„ุฌูŠุฒุฉุŒ ุจุฏูŠ ูŠูƒูˆู† ุงู„ุณู† ู…ุชู‚ุงุฑุจุŒ ุงู„ุนู‚ู„ ู…ุชู‚ุงุฑุจุŒ
1872
+
1873
+ 469
1874
+ 00:38:14,170 --> 00:38:17,330
1875
+ ุงู„ุญุงู„ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู…ุชู‚ุงุฑุจุฉุŒ ู„ูˆ ุงุฎุชู„ูุช ุงู„ุญุงู„ุฉ
1876
+
1877
+ 470
1878
+ 00:38:17,330 --> 00:38:23,740
1879
+ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ 90% ุงู„ุฃู…ูˆุฑ ุฅุดู…ุงู„ู‡ุงุŒ ู…ุงุจุชู…ุดูŠุดุญุชู‰ ุงู„ู†ุงุณุฉ
1880
+
1881
+ 471
1882
+ 00:38:23,740 --> 00:38:28,540
1883
+ ุจูŠูƒูˆู† ุฅูŠุดุŸ ู…ุชู‚ุงุฑุจุฉ ูŠุนู†ูŠุŒ ูƒู„ ู†ุงุณ ุจูŠุฑูˆุญ ุนู„ู‰ ุงู„ุตูŠู†ู
1884
+
1885
+ 472
1886
+ 00:38:28,540 --> 00:38:32,300
1887
+ ุงู„ู„ูŠ ุฒูŠู‡ู…ุŒ ุจูŠุฑูˆุญ ุนู„ู‰ ุงู„ุงุดูŠ ุงู„ู„ูŠ ุฒูŠู‡ุŒ ูˆุงุถุญุŸ ูุงู„ู‚ุงู„ุฉ
1888
+
1889
+ 473
1890
+ 00:38:32,300 --> 00:38:38,180
1891
+ ู…ุง ุจุญูƒูŠ ุนู† carbon ุตุบูŠุฑุŒ ู‚ูŠูˆุฏ ูƒุจูŠุฑุฉุŒ ู‡ุฐุง ุงุฑุชุจุงุทุบูŠุฑ
1892
+
1893
+ 474
1894
+ 00:38:38,180 --> 00:38:42,380
1895
+ ุณู„ูŠู… ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ูˆ ุงุฑุชุจุงุท ุฅูŠุด ุถุนูŠู ูˆุนุดุงู†ูƒ ู„ูˆ
1896
+
1897
+ 475
1898
+ 00:38:42,380 --> 00:38:46,940
1899
+ ุนู†ุฏูƒูˆุง ุฏูˆุฉ ููŠ ูŠูˆุฏ ุจุชู„ุงุญุธูˆุง ุงู†ู‡ ููŠ ุงู„ุตูŠุฏู„ูŠุฉ ุจูŠูƒูˆู†
1900
+
1901
+ 476
1902
+ 00:38:46,940 --> 00:38:51,820
1903
+ ู…ุญุทูˆุท ููŠ ุนุจูˆุฉ ุจู†ูŠุฉ ุนุดุงู† ุชุญู…ูŠู‡ ู…ู† ุถูˆุก ุงู„ุดู…ุณ
1904
+
1905
+ 477
1906
+ 00:38:51,820 --> 00:38:57,400
1907
+ ูˆุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุงู„ุตูŠุฏู„ ูŠุถุจู‡ ุจุฎุฒุงู†ุฉ ุฃูˆ ุจู…ูƒุงู† ุจุงุฑุฏ
1908
+
1909
+ 478
1910
+ 00:38:57,400 --> 00:39:00,160
1911
+ ุจุนูŠุฏ ุนู† ุงู„ุถูˆุก ู„ุงู†ู‡ ู‡ุฐุง ุงู„ู…ุฑุงูƒุฒ ุงู„ู„ูŠ ุจูŠุญุทู‡ ููŠ ุถูˆุก
1912
+
1913
+ 479
1914
+ 00:39:00,160 --> 00:39:04,430
1915
+ ุงู„ุดู…ุณ ุจูŠูู„ุท ุงู„ูŠูˆุฏ ู…ู†ู‡ ุจูŠุฎุฑุจ ุงู„ุฏูˆุฉู…ู„ุงุญุธูŠู† ุงู†ุชูˆุงุŸ
1916
+
1917
+ 480
1918
+ 00:39:04,430 --> 00:39:07,550
1919
+ ูŠู…ูƒู† ุจุชู„ุงุญุธูˆุง ู‡ุฐู‡ ุงู„ุดุบู„ู‡ ูุงู„ุงุฑุชุจุงุท ู…ุน ุงู„ูŠูˆุฏ ู‡ูˆ
1920
+
1921
+ 481
1922
+ 00:39:07,550 --> 00:39:12,530
1923
+ ุฃุถุนู ุงุฑุชุจุงุท ุงู„ุขู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุจูŠููŠุฏู†ูŠ ุงู†ู‡ ุงู†ุง ุจุนุฏ
1924
+
1925
+ 482
1926
+ 00:39:12,530 --> 00:39:17,150
1927
+ ุดูˆูŠุฉ ู„ู…ุง ุจุฏุฃ ุงุนู…ู„ ุชูุงุนู„ุงุช ุงุจุฏุงู„ ุงุณู‡ู„ ุงูŠุด ุงุทู„ุน ูˆ
1928
+
1929
+ 483
1930
+ 00:39:17,150 --> 00:39:22,970
1931
+ ุจุนุฏู‡ ุงู„ุจุฑูˆู… ุงู„ floor ู…ุด ู‡ู†ุงุฎุฏ ุนู†ู‡ ุงู…ุซู„ุฉ ุจุงู„ู…ุฑุฉ
1932
+
1933
+ 484
1934
+ 00:39:22,970 --> 00:39:27,850
1935
+ ุจุชุทู„ุนุด ุจุณู‡ูˆู„ุฉูŠุนู†ูŠ ู‡ู†ุงุฎุฏ ุงุญู†ุง ุชูุงุนู„ุงุช ุฅุจุฏุงู„ุŒ ุจุฏู†ุง
1936
+
1937
+ 485
1938
+ 00:39:27,850 --> 00:39:33,490
1939
+ ู†ุจุถ ุงู„ุฒุฑุงุฑุŒ ู‡ุชู„ุงุญุธูˆุง ู…ุนุธู… ุฃู…ุซู„ุงุชู†ุง ูŠูˆุช ุฃูˆ ุจุฑูˆู… ุฃูˆ
1940
+
1941
+ 486
1942
+ 00:39:33,490 --> 00:39:36,430
1943
+ ุงู†ุทู„ุนุช ุงู„ูƒู„ูˆุฑุŒ ุจุณ ูˆู„ุง ู…ุซุงู„ ู‡ู†ุงุฎุฏู‡ ุนู† ุงู„ floor
1944
+
1945
+ 487
1946
+ 00:39:36,430 --> 00:39:43,010
1947
+ ู„ุฃู†ูˆุง ุงู„ ุฑุงุจุทุฉ ุจุชุงุนุฉ ุงู„ floor ู‡ูŠ ุฑุงุจุทุฉ ู‚ูˆูŠุฉ ู ุงู„
1948
+
1949
+ 488
1950
+ 00:39:43,010 --> 00:39:48,290
1951
+ rate of reactionุŒ ุณุฑุนุฉ ุงู„ุชูุงุนู„ุงุชุŒ ุณุฑุนุฉ ุงู„ุชูุงุนู„ุงุชุŒ
1952
+
1953
+ 489
1954
+ 00:39:48,290 --> 00:39:54,900
1955
+ ุจูŠู‚ูˆู„ ููŠู‡ุง ุงู„ุฃูƒุชุฑ ู…ู† ุงู„ RBR ุฃูƒุชุฑ ู…ู† ุงู„ RCL ู„ูŠุด ุงู„
1956
+
1957
+ 490
1958
+ 00:39:54,900 --> 00:40:00,960
1959
+ RI ุฃุณุฑุน ููŠ ุงู„ุชูุงุนู„ ู„ุฃู† ุฑุงุจุทุชู‡ ุฃุถุนู ู„ุฃู† ุฑุงุจุทุชู‡ ุฃุถุนู
1960
+
1961
+ 491
1962
+ 00:40:00,960 --> 00:40:06,440
1963
+ ููŠ ุนู†ุฏูŠ ูุฑู‚ ููŠ ุงู„ size ู‡ู…ู„ุงุญุธูŠู† ู‡ู†ุง ูƒูŠู ุงู„ูุฑู‚ ููŠ
1964
+
1965
+ 492
1966
+ 00:40:06,440 --> 00:40:11,280
1967
+ ุงู„ size ูุฑู‚ ููŠ ุงู„ size ูˆ ุทุงู„ู…ุง ุนู†ุฏูŠ ูุฑู‚ ูƒุจูŠุฑ ููŠ ุงู„
1968
+
1969
+ 493
1970
+ 00:40:11,280 --> 00:40:18,880
1971
+ size ู…ุนู†ู‰ ุฐู„ูƒ ุงู„ุฅุฑุชุจุงุท ุบูŠุฑ ุณู„ูŠู… ูˆ ุบูŠุฑ ..ุจู†ุฌู ู„ู‡ุฐู‡
1972
+
1973
+ 494
1974
+ 00:40:18,880 --> 00:40:24,480
1975
+ ุงู„ู†ู‚ุทุฉ ุงู„ูŠูˆู… ููŠ ุงู„ู…ู‚ุฏู…ุฉ ู„ู€ Alkalin Calcium
1976
+
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/0sNdGGE2F3c_raw.srt ADDED
@@ -0,0 +1,1984 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:11,260
3
+ ุงู„ูŠูˆู… ุงู† ุดุงุก ุงู„ู„ู‡ ู‡ู†ุชู‡ูŠ ู…ู† ุงู„ูุตู„ ุงู„ุฎุงู…ุณ ุงู„ู…ุชุนู„ู‚
4
+
5
+ 2
6
+ 00:00:11,260 --> 00:00:17,080
7
+ ุจุงู„ Stereochemistry ูˆุฑุจู…ุง ุงูŠุถุง ู‡ู†ุง ูŠุนู†ูŠ ู†ุจุฏุฃ
8
+
9
+ 3
10
+ 00:00:17,080 --> 00:00:24,540
11
+ ุจุฅุนุทุงุก ู…ู‚ุฏู…ุฉ ู„ู„ูุตู„ ุงู„ุณุงุฏุณ ุฑุจู…ุง ู†ุจุฏุฃ ุจุฅุนุทุงุก ู…ู‚ุฏู…ุฉ
12
+
13
+ 4
14
+ 00:00:24,540 --> 00:00:31,060
15
+ ู„ู„ูุตู„ ุงู„ุณุงุฏุณ ุฃุฎุฏู†ุง ุงุญู†ุง ููŠ ุงู„ Stereochemistry ุงู„ู„ูŠ
16
+
17
+ 5
18
+ 00:00:31,060 --> 00:00:38,120
19
+ ู‡ูˆุชุนุฑูŠู ุงู„ู€ Stereoisomers ูˆุฃู†ูˆุงุนู‡ุง ุงู„ุฃุณุงุณูŠุฉ ุงู„ู„ูŠ
20
+
21
+ 6
22
+ 00:00:38,120 --> 00:00:41,140
23
+ ู‡ูŠ Enantiomers ูˆDiastereomers ูˆูƒูŠู ู†ุญุฏุฏ
24
+
25
+ 7
26
+ 00:00:41,140 --> 00:00:45,300
27
+ configuration ูˆูƒูŠู ู†ุนุฑู ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู…ุฑูƒุจูŠู† ู‡ู„ ู‡ู…ุง
28
+
29
+ 8
30
+ 00:00:45,300 --> 00:00:49,380
31
+ Enantiomers ุฃูˆ Diastereomers ุฃูˆ ู†ูุณ ุงู„ู…ุฑูƒุจ ู…ู† ุฎู„ุงู„
32
+
33
+ 9
34
+ 00:00:49,380 --> 00:00:54,020
35
+ ุฃู† ู†ุญุฏุฏ ุงู„ configuration ุฃุฎุฐู†ุง ุจุฑุถู‡ ุงู„ุฃู…ูˆุฑ
36
+
37
+ 10
38
+ 00:00:54,020 --> 00:00:56,920
39
+ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ physical ูˆ ุงู„ chemical properties
40
+
41
+ 11
42
+ 00:00:56,920 --> 00:01:01,040
43
+ ุฑุจู…ุง ู…ู† ุฃู‡ู…ู‡ุง ุฃู† ุงู„ physical properties ู„ู„
44
+
45
+ 12
46
+ 00:01:01,040 --> 00:01:07,230
47
+ Enantiomersู†ูุณ ุงู„ุดูŠุก ู…ุง ุนุฏุง ููŠ ุฎุงุตูŠุฉ ุงู„ rotation
48
+
49
+ 13
50
+ 00:01:07,230 --> 00:01:12,030
51
+ of a plane polarized ู„ุฃ direction of rotation
52
+
53
+ 14
54
+ 00:01:12,030 --> 00:01:17,850
55
+ ุงู„ูŠูˆู… ุจู†ุงุฎุฏ ุจุนุถ ุงู„ุชูุงุนู„ุงุช ู…ุชุนู„ู‚ุฉ ุจุงู„ stereo
56
+
57
+ 15
58
+ 00:01:17,850 --> 00:01:24,350
59
+ isomers ู‡ุชู„ุงุญุธูˆุง ูƒูŠู ุงู†ู‡ ุงู„ุนู„ู… ูƒูŠู ุงู†ู‡ ุงู„ุนู„ู…
60
+
61
+ 16
62
+ 00:01:24,350 --> 00:01:30,810
63
+ ุจูŠุถู„ูˆุง ูŠุชูˆุณุน ูŠุนู†ูŠ ุงู†ุชูˆุง ุจุชุชุนู„ู…ูˆุง ู†ู‚ุทุฉ ุตุญูŠุญุจุชุนุชู‚ุฏูˆุง
64
+
65
+ 17
66
+ 00:01:30,810 --> 00:01:35,570
67
+ ู„ู…ุง ุชุชุนู„ู…ูˆุง ุงู„ู†ู‚ุทุฉ ุงู†ู‡ ุฎู„ุงุต ูŠุนู†ูŠ ุฃุฎุฏู†ุง ูƒู„ ู…ุง ูŠุชุนู„ู‚
68
+
69
+ 18
70
+ 00:01:35,570 --> 00:01:41,110
71
+ ุจู‡ุฐุง ุงู„ู…ูˆุถูˆุน ู„ู„ุฃุณู ุงู†ู‡ ู…ุฑุงุช ุงุญู†ุง ู„ู…ุง ุจู†ุฏุฑุณูƒู…
72
+
73
+ 19
74
+ 00:01:41,110 --> 00:01:45,910
75
+ ุจู†ุถูˆูŠู„ูƒูˆุง ุนู„ู‰ ุฌุฒุก ู…ู† ุงู„ู…ุนู„ูˆู…ุฉ ุจู†ุนู„ู…ูƒูˆุง ุฅูŠุงู‡ุง ูˆ
76
+
77
+ 20
78
+ 00:01:45,910 --> 00:01:51,530
79
+ ุจู†ุฎููŠ ุฌุฒุก ุงู„ุขู† ูŠู…ูƒู† ุฅูŠุฌุง ูˆู‚ุช ุฃุดูŠุงุก ูƒู†ุชูˆุง ุชุนุชู‚ุฏูˆู‡ุง
80
+
81
+ 21
82
+ 00:01:51,530 --> 00:01:57,470
83
+ ุจุณูŠุทุฉ ุงุชู„ุงุญุธูˆุง ุงู†ู‡ ู‡ูŠ ู„ุฃ ู…ุด ุจู‡ุง ุงู„ุจุณุงุทุฉ ูˆุงุถุญุŸ
84
+
85
+ 22
86
+ 00:01:57,470 --> 00:02:03,390
87
+ ู‡ุชู„ุงุญุธูˆู‡ุง ู…ู† ุฎู„ุงู„ ุฅูŠุดุŸู…ู† ุฎู„ุงู„ ุชูุงุนู„ุงุช ุงู„ู…ุชุนู„ู‚ุฉ
88
+
89
+ 23
90
+ 00:02:03,390 --> 00:02:07,990
91
+ ุจุงู„ู€ Stereochemistry ุงู„ุชูุงุนู„ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุจุฏู†ุง ู†ุฏุฑุณู‡
92
+
93
+ 24
94
+ 00:02:07,990 --> 00:02:13,830
95
+ ุจู†ุณู…ูŠู‡ generation of a chiral center ูŠุนู†ูŠ ู…ุงูƒู†ุด ููŠ
96
+
97
+ 25
98
+ 00:02:13,830 --> 00:02:18,350
99
+ ุนู†ุฏูŠ ุฃู†ุง chiral centerุŒ ุจุฏุฃ ุฃุนู…ู„ ุชูุงุนู„ ุฃุตูŠุฑ chiral
100
+
101
+ 26
102
+ 00:02:18,350 --> 00:02:22,850
103
+ center ุฅูŠุด ู…ุนู†ู‰ ุงู„ุญูƒูŠุŸ ู…ุนู†ู‰ ุงู„ุญูƒูŠ ุฃู†ู‡ ู…ุงูƒู†ุด ููŠ
104
+
105
+ 27
106
+ 00:02:22,850 --> 00:02:28,400
107
+ ุนู†ุฏูŠ carbon ุนู„ูŠู‡ุง ุฃุฑุจุน ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉู„ู…ุง ุจุฏู‰ ุงุนู…ู„
108
+
109
+ 28
110
+ 00:02:28,400 --> 00:02:32,540
111
+ ุชูุงุนู„ ุงู„ carbon ู‡ุฏู‰ ุจุฏู‰ ูŠุตูŠุฑ ุนู„ูŠู‡ุง ุงุฑุจุน ู…ุฌู…ูˆุนุงุช
112
+
113
+ 29
114
+ 00:02:32,540 --> 00:02:38,240
115
+ ู…ุฎุชู„ูุฉ ูุจุฏู‰ ูŠุตูŠุฑ ููŠ ุนู†ุฏู‰ chiral center ูˆุงุถุญุŸ ู…ู…ูƒู†
116
+
117
+ 30
118
+ 00:02:38,240 --> 00:02:43,340
119
+ ู†ุงุฎุฏ ู…ุซุงู„ ุนู„ู‰ ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ูˆ ุฃุฎุฏุชู‡ ุชูุงุนู„ ุฃุฎุฏู†ุงู‡ ููŠ
120
+
121
+ 31
122
+ 00:02:43,340 --> 00:02:47,520
123
+ ุงู„ alkanes ู„ุจูŠูˆุชูŠู† ุงู„ุนุงุฏู‰ ู„ู…ุง ู†ุนู…ู„ู‡ chlorination
124
+
125
+ 32
126
+ 00:02:47,520 --> 00:02:52,440
127
+ ูƒู†ุง ู†ู‚ูˆู„ ู†ุนู…ู„ chlorination ุงุญู†ุง ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ูˆุนู„ู‰
128
+
129
+ 33
130
+ 00:02:52,440 --> 00:02:56,520
131
+ ู…ูˆู‚ุน ุงุชู†ูŠู†ู…ุตุจูˆุท ูˆู„ุง ู„ุฃุŸ ู„ู…ุง ู†ุฌูŠ ู†ุนู…ู„ ุงู„
132
+
133
+ 34
134
+ 00:02:56,520 --> 00:02:59,760
135
+ chlorineation ูˆ ู†ุญุท ููŠ ุงู„ุจูŠูˆุชูŠู† ุงู„ุงุฑุจุน ูƒุฑุจูˆู†ุงุช
136
+
137
+ 35
138
+ 00:02:59,760 --> 00:03:06,540
139
+ ู„ูƒู„ูˆุฑุฉ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏุŒ ู‡ู„ ุจู†ุนู…ู„ ูƒุงูŠุฑุงู„ ุณู†ุชุฑ ุฌุฏูŠุฏุŸ
140
+
141
+ 36
142
+ 00:03:06,540 --> 00:03:13,900
143
+ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู…ูˆู‚ุน ูˆุงุญุฏ CH3ูˆู…ุชุตู„ ุงู„ุจุงู‚ู‰ ุงู„ุฌุฒุก ู„ู…ุง ุงุดูŠู„
144
+
145
+ 37
146
+ 00:03:13,900 --> 00:03:21,220
147
+ ู…ู†ู‡ H ุจุตูŠุฑ CH2 ูˆCL ูˆู…ุชุตู„ ุงู„ุจุงู‚ู‰ ุงู„ุฌุฒุก ุงุฐุง ุตุงุฑ ุนู†ุฏู‰
148
+
149
+ 38
150
+ 00:03:21,220 --> 00:03:25,360
151
+ ุงุฑุจุน ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ู„ุฃ ูุงู†ุง ู„ูˆ ุงุนู…ู„ุช chlorination
152
+
153
+ 39
154
+ 00:03:25,360 --> 00:03:31,820
155
+ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ู…ุงุนู…ู„ุชุด generation ุงูˆ ุชูˆู„ูŠุฏ ู„ chiral
156
+
157
+ 40
158
+ 00:03:31,820 --> 00:03:35,980
159
+ center ุจุทู„ุน ุนู†ุฏู‰ one compound ุงู„ุงู† ู„ู…ุง ูƒู†ุง ู†ู‚ูˆู„ูƒู…
160
+
161
+ 41
162
+ 00:03:35,980 --> 00:03:39,420
163
+ ุงุนุทูˆู†ุง ู†ุงุชุฌ ุชุงู†ู‰ ูƒู†ุชูˆุง ุชู‚ูˆู„ ูˆุงู„ู„ู‡ ุงู„chloria ุจูŠุฌูŠ
164
+
165
+ 42
166
+ 00:03:39,420 --> 00:03:43,410
167
+ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏูŠุนู†ูŠ ู…ูˆู‚ุน ุงุชู†ูŠู† ุงุฐุง ูƒุงู… ู†ุชูŠุฌุฉ ุจูŠุทู„ุน
168
+
169
+ 43
170
+ 00:03:43,410 --> 00:03:49,850
171
+ ุนู†ุฏูƒ ุงุชู†ูŠู† ุงู„ุงู† ุฏุนู†ุง ู†ุฏุฑุณ ู…ูˆู‚ุน ุงุชู†ูŠู† ุจุงู„ุชูุตูŠู„ ู„ู…ุง
172
+
173
+ 44
174
+ 00:03:49,850 --> 00:03:53,010
175
+ ูŠุฌูŠ ุงู„ chlorine ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ู„ุงุญุธูˆุง ุงู†ุง ู…ูˆู‚ุน
176
+
177
+ 45
178
+ 00:03:53,010 --> 00:03:59,030
179
+ ุงุชู†ูŠู† ู…ุชุตู„ ุจ ู…ุซู„ ูˆ ุงุซู„ ูˆ ุงุชุด ูˆ ุงุชุด ู…ุธุจูˆุท ูˆู„ุง ู„ุง
180
+
181
+ 46
182
+ 00:03:59,030 --> 00:04:03,830
183
+ ุงู„ุงู† ู„ู…ุง ุงู†ุง ุจุฏูŠ ุงุดูŠู„ ูˆุงุญุฏุฉ ู…ู† ู‡ุฏูˆู„ ุงู„ hydrogens ูˆ
184
+
185
+ 47
186
+ 00:04:03,830 --> 00:04:08,050
187
+ ุงุญุท ุจุฏุงู„ู‡ุง chlorine ุดูˆู ุตุงุฑ ู…ูˆู‚ุน ุงุชู†ูŠู† ุตุงุฑ ุงุฑุจุน
188
+
189
+ 48
190
+ 00:04:08,050 --> 00:04:13,260
191
+ ู…ุฌู…ูˆุนุงุช ู…ุฎุชู„ูุฉ ุตุงุฑ ูƒุงูŠุฑุงู„ุชู… ู„ุงุญุธูŠู†ุŸ ุฅุฐุง ุจู†ุชุฐูƒุฑ ูƒูŠู
192
+
193
+ 49
194
+ 00:04:13,260 --> 00:04:17,120
195
+ ูƒุงู†ุช ุงู„ุนู…ู„ูŠุฉ ุชู… ุญุณุจ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ูŠ ุฃุฎุฏู†ุงู‡ุง ู„ู„
196
+
197
+ 50
198
+ 00:04:17,120 --> 00:04:21,120
199
+ free radical substitution ุงู„ chlorine radical ุงู„ู„ูŠ
200
+
201
+ 51
202
+ 00:04:21,120 --> 00:04:24,840
203
+ ุจูŠุงุฎุฏ ุงู„ H ุจูŠุตูŠุฑ ุนู†ุฏูŠ methyl radical ู‡ุฐุง ุงู„ carbon
204
+
205
+ 52
206
+ 00:04:24,840 --> 00:04:31,830
207
+ radical ุงู„ู„ูŠ ู‡ูˆ ุญุงู…ู„ ู…ุฌู…ูˆุนุฉ CH3 ูˆ Ethan ูˆ Hู‡ุฐุง ุงู„
208
+
209
+ 53
210
+ 00:04:31,830 --> 00:04:38,230
211
+ radical ู…ูŠุฒุชู‡ ุงู† ู‡ูˆ planar ูƒูŠู ูŠุนู†ูŠ planarุŸ ุจู‡ุฐุง
212
+
213
+ 54
214
+ 00:04:38,230 --> 00:04:41,950
215
+ ุงู„ุดูƒู„ ู„ูˆ ุจุชุนู…ู„ู‡ model ุฃู†ุง ุฒูŠ ู…ุง ู‡ูˆ ู…ุฑุณูˆู… ุนู†ุฏูƒู… ุนู„ู‰
216
+
217
+ 55
218
+ 00:04:41,950 --> 00:04:47,930
219
+ ุงู„ู„ูˆุญ ุจู‡ุฐุง ุงู„ุดูƒู„ ุชู…ุงู…ุง ุทู„ุนูˆุง ุนู„ูŠู‡ ู‡ุงูŠ ุงู„ hydrogen
220
+
221
+ 56
222
+ 00:04:49,910 --> 00:04:56,650
223
+ ู…ุซู„ CH3 ูƒุฑุจูˆู†ุง ู‡ุงูŠ ุฅุซู„ CH2 CH3 ูˆ ู‡ุฐุง ุฅูŠุด ู…ุงู„ู‡ ุงู„
224
+
225
+ 57
226
+ 00:04:56,650 --> 00:05:00,050
227
+ planner ู„ุณู‡ ููŠ ู†ุต ุงู„ุทุฑูŠู‚ ุงู„ planner free radical
228
+
229
+ 58
230
+ 00:05:00,050 --> 00:05:05,810
231
+ ุงู„ุขู† ู‡ุฐู‡ ุงู„ูƒู„ูˆุฑ ูˆุงู‚ูุฉ ู‡ู†ุง ูˆ ุจุฏุฃ ุชูŠุฌูŠ ุชุชูุงุนู„ ููŠ ุนุฏุฉ
232
+
233
+ 59
234
+ 00:05:05,810 --> 00:05:11,230
235
+ ุงุญุชู…ุงู„ูŠู† ุฅู…ุง ุฃู† ุชุฃุชูŠ ู…ู† ุงู„ุฃู…ุงู… ูˆ ู‡ุฏูˆู„ุฉ ุจูŠุฑุชุฏูˆุง
236
+
237
+ 60
238
+ 00:05:11,230 --> 00:05:16,630
239
+ ู„ู„ุฎู„ู ุฃูˆ ุชุฃุชูŠ ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉุฅุฐุงู‹ ู„ุฃู† ู‡ุฐุง planner
240
+
241
+ 61
242
+ 00:05:16,630 --> 00:05:21,970
243
+ ู„ุฃู† ู‡ุฐุง ููŠ ู…ุณุชูˆู‰ ูˆุงุญุฏ ุงู„ูƒู„ูˆุฑ ุจูŠุตูŠุฑ ู„ุฅุญุชู…ุงู„ูŠู† ุนู†ุฏู‡ุง
244
+
245
+ 62
246
+ 00:05:21,970 --> 00:05:24,950
247
+ ู…ุชุณุงูˆูŠุงุช ูŠุง ุจุชูŠุฌูŠ ู…ู† ู‡ู†ุง ูŠุง ู…ู† ู‡ู†ุง ุฃูˆ ู„ูˆ ู…ุณูƒุชู‡ ุฒูŠ
248
+
249
+ 63
250
+ 00:05:24,950 --> 00:05:31,270
251
+ ู‡ูŠูƒ ู‡ุงูŠ ุงู„ูƒู„ูˆุฑ ุฅู…ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุฃูˆ ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆุงุถุญ
252
+
253
+ 64
254
+ 00:05:31,270 --> 00:05:35,070
255
+ ู‡ุฐุง ุงู„ูƒู„ุงู… ุทุงู„ู…ุง ุงู„ูƒู„ูˆุฑ ุจูŠู…ูƒู†ู‡ุง ุชูŠุฌูŠ ู…ู† ุงู„ุฃู…ุงู… ูˆ
256
+
257
+ 65
258
+ 00:05:35,070 --> 00:05:38,490
259
+ ุงู„ุฎู„ู ุฃูˆ ู…ู† ุงู„ุฌู†ุจูŠู† ุจูŠู‚ุฏุฑ ุฅู„ู‰ ุชูƒูˆูŠู†
260
+
261
+ 66
262
+ 00:05:41,030 --> 00:05:44,650
263
+ to enantiomers ู„ู…ุง ุจุชู‚ูˆู„ ูˆุงุญุฏ ุงู„ูƒู„ูˆุฑ ููŠ ุจู‡ุฐุง ุงู„ุดูƒู„
264
+
265
+ 67
266
+ 00:05:44,650 --> 00:05:50,850
267
+ ูˆ ุงู„ุชุงู†ูŠ ุจู‡ุฐุง ุงู„ุดูƒู„ ุงุชุฎูŠู„ู‡ู… ูƒุฃู†ู‡ู… ุตูˆุฑุฉ ู…ุฑุขุฉ ู„ุจุนุถ ูˆ
268
+
269
+ 68
270
+ 00:05:50,850 --> 00:05:55,370
271
+ ู…ู† ุงู„ุจุนุถ ุงูŠุด ุจุชู„ุงุญุธูˆุง ุงู†ู‡ ุนู†ุฏู‰ ุงุชูƒูˆู† to
272
+
273
+ 69
274
+ 00:05:55,370 --> 00:06:01,950
275
+ enantiomers ู…ุด ูˆุงุญุฏ ุงู„ุขู† ุงู„ุณุคุงู„ ุจุฃูŠ ู†ุณุจุฉ ู„ู…ุง ุชูƒูˆู†
276
+
277
+ 70
278
+ 00:06:01,950 --> 00:06:08,140
279
+ ู‡ุฐู‡ ุงู„ูƒู„ูˆุฑ ุจุนูŠุฏุฉ ูˆ ู‡ุฐุง ุจู„ุง ู†ุงุฑู‡ู„ ูŠุชุฑุงู‡ู‚ ู‡ุฐุง ุงู„ู…ูˆู‚ุน
280
+
281
+ 71
282
+ 00:06:08,140 --> 00:06:14,510
283
+ ู…ู† ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ุจูŠูุฑู‚ ุนู† ู‡ุฐุง ุงู„ู…ูˆู‚ุนุŸ ูƒุงุญุชู…ุงู„ุงุชู…ุงููŠุด
284
+
285
+ 72
286
+ 00:06:14,510 --> 00:06:19,050
287
+ ุฃูŠ ูุฑู‚ ุจูŠู† ู‡ุฏูˆู„ ุงู„ุงุญุชู…ุงู„ูŠู† ูˆู„ุฐู„ูƒ ุจุชูƒูˆู† ุงู„ู†ุณุจุฉ
288
+
289
+ 73
290
+ 00:06:19,050 --> 00:06:24,570
291
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุงู„ู‰ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ูˆุงุถุญุŸ ุฎู…ุณูŠู† ููŠ
292
+
293
+ 74
294
+ 00:06:24,570 --> 00:06:27,610
295
+ ุงู„ู…ูŠุฉ ุงู„ู‰ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู‡ุฐุง ุงู„ู„ูŠ ุจู†ุณู…ูŠู‡ ุงุญู†ุง ุงูŠุด
296
+
297
+ 75
298
+ 00:06:27,610 --> 00:06:35,150
299
+ ุฑุงุณู…ูƒ mixed chart ุฑุงุณู…ูƒ mixed chart ุงุฐุง ุนู…ู„ูŠุฉ
300
+
301
+ 76
302
+ 00:06:35,150 --> 00:06:39,930
303
+ ุงู„ุฅุจุฏุงู„ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ูƒุงู… ู†ุงุชุฌ ุจุชุทู„ุนู„ู‡ ู†ุงุชุฌูŠู† ู…ุด
304
+
305
+ 77
306
+ 00:06:39,930 --> 00:06:45,110
307
+ ู†ุงุชุฌ ูˆุงุญุฏูˆุงุถุญุŸ ุชู†ุณูˆุด ุฃู†ู‡ ุงู„ุฅุจุฏุงู„ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏุŒ
308
+
309
+ 78
310
+ 00:06:45,110 --> 00:06:48,670
311
+ ูƒุฏู‡ ูƒุงู† ูŠุทู„ุน ุนู„ูŠู‡ุŸ ู†ุงุชุฌ ูˆุงุญุฏุŒ ู„ุฃู†ู‡ ู…ุงุตุงุฑุด chiral
312
+
313
+ 79
314
+ 00:06:48,670 --> 00:06:53,390
315
+ center ุฅุฐุง ู„ูˆ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุณุฃู„ ู…ุฑุฉ ุฌุฏูŠุฏุฉุŒ ุงู„
316
+
317
+ 80
318
+ 00:06:53,390 --> 00:06:57,610
319
+ chlorineation ู„ู„ูŠ ุจูŠูˆุชูŠู† ุจุงู„ู…ุฌู…ู„ ูƒุงู… ู†ุงุชุฌ ุจูŠุทู„ุนุŸ
320
+
321
+ 81
322
+ 00:06:59,810 --> 00:07:05,030
323
+ ุชู„ุงุชุฉ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ู†ุงุชุฌ ูˆุงุญุฏ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ุจูŠุทู„ุน
324
+
325
+ 82
326
+ 00:07:05,030 --> 00:07:09,570
327
+ ู„ู„ R2-chlorobutane ูˆุงู„ S2-chlorobutane ุดูˆููˆุง ุฃู†ุง ูˆ
328
+
329
+ 83
330
+ 00:07:09,570 --> 00:07:13,210
331
+ R ูˆ ุฃู†ุง ูˆ S ุงู„ู…ู‡ู… ุงุชู†ูŠู† ุงุฐุง ุตุงุฑ ุงู„ู…ุฌู…ูˆุน ุชู„ุงุชุฉ
332
+
333
+ 84
334
+ 00:07:13,210 --> 00:07:16,370
335
+ ู„ุงุญุธูˆุง ุงุญู†ุง ูƒู†ุง ู†ู‚ูˆู„ ุงูŠุด ูƒู„ุงู… ู…ุชู†ุงู‚ุถ ูŠุนู†ูŠ ุงูˆู„ ู…ุง
336
+
337
+ 85
338
+ 00:07:16,370 --> 00:07:19,730
339
+ ูƒู†ุง ู†ุนู„ู…ูƒูˆุง ููŠ chapter ุชูุงุนู„ุงุช ุงู„ุงู„ูƒูŠู†ุฒ ูƒู†ุง
340
+
341
+ 86
342
+ 00:07:19,730 --> 00:07:24,240
343
+ ู†ู‚ูˆู„ูƒูˆุง ุจูŠุทู„ุน ุนู†ุฏูƒูˆุงtwo products one chlorobutane
344
+
345
+ 87
346
+ 00:07:24,240 --> 00:07:27,860
347
+ ูˆ two chlorobutane ุงู„ุขู† ู‚ุงุนุฏูŠู† ุจู†ู‚ูˆู„ูƒู† ุงู„ two
348
+
349
+ 88
350
+ 00:07:27,860 --> 00:07:33,900
351
+ chlorobutane ุนุจุงุฑุฉ ุนู† ู…ุฑูƒุจูŠู† R-2-chlorobutane ูˆ S
352
+
353
+ 89
354
+ 00:07:33,900 --> 00:07:38,500
355
+ -2-chlorobutane ุงู„ุญู‚ูŠู‚ุฉ ุญุณุจ ุทุฑูŠู‚ุฉ ุงู„ูƒู„ุงู… ูŠุนู†ูŠ ุฃู†ุง
356
+
357
+ 90
358
+ 00:07:38,500 --> 00:07:42,660
359
+ ู…ุงุจุนุชู‚ุฏุด ุงู†ู‡ ุงู„ูƒู„ุงู… ู…ุชู†ุงู‚ุถ ู„ูŠุดุŸ ู„ุฃู†ู‡ ู„ูˆ ุงุญู†ุง ุจู†ุญูƒูŠ
360
+
361
+ 91
362
+ 00:07:42,660 --> 00:07:46,520
363
+ ุนู† structural isomers ุจุฏูˆู† ู…ุง ู†ุงุฎุฏ ุงู„ stereo
364
+
365
+ 92
366
+ 00:07:46,520 --> 00:07:50,540
367
+ chemistry ููŠ ุนูŠู† ุงู„ุงุนุชุจุงุฑุจุทู„ุน ุนู†ุฏู‰ two structural
368
+
369
+ 93
370
+ 00:07:50,540 --> 00:07:55,940
371
+ isomers ุงู„ one ูˆ ุงู„ two ู‡ุฏูˆู„ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุฅูŠุดุŸ
372
+
373
+ 94
374
+ 00:07:55,940 --> 00:07:59,140
375
+ structural isomers one chlorobutane ูŠุนู†ูŠ ุจู†ุฌูŠุจู„ูƒูˆุง
376
+
377
+ 95
378
+ 00:07:59,140 --> 00:08:02,640
379
+ ูŠุง ุณุคุงู„ ููŠ ุงู„ุงู…ุชุญุงู† one chlorobutane is a
380
+
381
+ 96
382
+ 00:08:02,640 --> 00:08:06,780
383
+ structural isomer of two chlorobutane ู„ุฃู†ู‡
384
+
385
+ 97
386
+ 00:08:06,780 --> 00:08:12,980
387
+ ุจูŠุฎุชู„ููˆุง ุจุงู„ุงุณู… ุจูŠุฎุชู„ููˆุง ุจู…ูˆุงู‚ุน ุงู„ุฅุฑุชุจุงุท ู„ูƒู† ุงู„ R2
388
+
389
+ 98
390
+ 00:08:12,980 --> 00:08:16,540
391
+ -chlorobutane ูˆ ุงู„ S2-chlorobutane they are
392
+
393
+ 99
394
+ 00:08:17,840 --> 00:08:20,880
395
+ StereoisomersุŒ ุฅุฐุง ู„ูˆ ุจุฏุฃ ุฃู‚ูˆู„ ูƒุงู… structure ุงู„
396
+
397
+ 100
398
+ 00:08:20,880 --> 00:08:24,320
399
+ isomers ุจุชุทู„ุน ุนู†ุฏู‰ุŸ ุงุชู†ูŠู†ุŒ ู„ูƒู† ูƒุงู… ุงู„ total
400
+
401
+ 101
402
+ 00:08:24,320 --> 00:08:29,320
403
+ isomersุŸ ุชู„ุงุชุฉุŒ ูˆุงุถุญุŸ ู„ุฃู† ุงู„ two-chlorobutane ููŠู‡
404
+
405
+ 102
406
+ 00:08:29,320 --> 00:08:35,660
407
+ ู…ู†ู‡ ู…ุฑูƒุจูŠู† ุงู„ R ูˆ ุงู„ SุŒ ุฅุฐุง ู‡ู†ุง ุจู†ู‚ุฏุฑ ู†ู‚ูˆู„ ุงู„ุจุณุงุทุฉ
408
+
409
+ 103
410
+ 00:08:35,660 --> 00:08:40,740
411
+ ุฅู† ุงู„ generation of a chiral center produces a
412
+
413
+ 104
414
+ 00:08:40,740 --> 00:08:45,660
415
+ racemic mixtureู„ูŠุด ุงู„racemic mixtureุŸ ู„ุฃู† ุงู„
416
+
417
+ 105
418
+ 00:08:45,660 --> 00:08:49,020
419
+ intermediate ุงู„ free radical ุงู„ู„ูŠ ุงุชูƒูˆู† ุนู†ุฏู‰ ุจุงู„ู†ุต
420
+
421
+ 106
422
+ 00:08:49,020 --> 00:08:52,740
423
+ ูƒุงู† planner ูุตุงุฑูˆุง ุงู„ุงุญุชู…ุงู„ุงุช ุงู†ู‡ ูŠุชูุงุนู„ ู…ู† ุงู„ูŠู…ูŠู†
424
+
425
+ 107
426
+ 00:08:52,740 --> 00:08:59,340
427
+ ุงูˆ ู…ู† ุงู„ุดู…ุงู„ ู†ูุณ ุงู„ุงุญุชู…ุงู„ุงุช ูˆุงุถุญุŸ ู‡ุฐุง ู…ุซุงู„ ู…ู…ูƒู†
428
+
429
+ 108
430
+ 00:08:59,340 --> 00:09:04,150
431
+ ู†ุงุฎุฏ ู…ุซุงู„ ุชุงู†ูŠ ูˆ ุงู„ู…ุซุงู„ ุงู„ุชุงู†ูŠ ู…ุฑ ุนู„ูŠู†ุง ุจุฑุถู‡ู„ู…ุง
432
+
433
+ 109
434
+ 00:09:04,150 --> 00:09:11,750
435
+ ูƒู†ุง ู†ุฌูŠ ู†ุนู…ู„ ุนู…ู„ูŠุฉ addition ู„ ุงู„ one butane ุฅุถุงูุฉ
436
+
437
+ 110
438
+ 00:09:11,750 --> 00:09:18,010
439
+ HBr ุนู„ู‰ ุญุณุจ ู‚ุงุนุฏุฉ Markovnikov addition ููŠ ูˆุฌูˆุฏ ุงู„
440
+
441
+ 111
442
+ 00:09:18,010 --> 00:09:24,390
443
+ H plus ู…ุชุฐูƒุฑูŠู†ู‡ุงุŸ ูƒุงู†ุช ุงู„ุนู…ู„ูŠุฉ ุงู„ุฅุถุงูุฉ ู†ู‚ุทุฉ
444
+
445
+ 112
446
+ 00:09:24,390 --> 00:09:28,630
447
+ ุงู„ุจุฏุงูŠุฉ ุชุจุนุชู‡ุง ุฃู† ุงู„ H plus ูŠุถูŠู ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ
448
+
449
+ 113
450
+ 00:09:28,630 --> 00:09:33,700
451
+ ุนุดุงู† ูŠุชูƒูˆู† ุนู†ุฏูŠ carbocation ุนู„ู‰ ุงู„ู…ูˆู‚ุน ุงุชู†ูŠู†ููŠ ู‡ุฐู‡
452
+
453
+ 114
454
+ 00:09:33,700 --> 00:09:39,120
455
+ ุงู„ุญุงู„ุฉุŒ ุณูŠูƒูˆู† ุนู†ุฏู‡ ู…ุฌู…ูˆุนุฉ ู…ุซู„ ุงู„ู€ CH2 ูˆุงุถุงูุช ุนู„ูŠู‡ุง
456
+
457
+ 115
458
+ 00:09:39,120 --> 00:09:44,800
459
+ H ู…ุฌู…ูˆุนุฉ EthaneุŒ ุงู„ู„ูŠ ู‡ูŠ ุจุงู‚ูŠ ุงู„ุฌุฒูŠุฑ ูˆ ุงู„ู€ H ุงู„ู„ูŠ
460
+
461
+ 116
462
+ 00:09:44,800 --> 00:09:50,740
463
+ ู…ูˆุฌูˆุฏุฉ ุฃุตู„ุงู‹ ูˆ Carbocation ูˆุงุถุญุŸ ู‡ุฐุง ุงู„ู€
464
+
465
+ 117
466
+ 00:09:50,740 --> 00:09:54,180
467
+ Carbocation ุจุฑุถู‡ ุงู„ุดูƒู„ ุชุจุนู‡ ุจู„ู†ุฑ ุฒูŠ ุงู„ู€ Free
468
+
469
+ 118
470
+ 00:09:54,180 --> 00:09:59,080
471
+ Radical ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒุŒ ู„ู…ุง ูŠุชู… ุงู„ุชูุงุนู„ ุงู„ุขู† ุงู„ู€
472
+
473
+ 119
474
+ 00:09:59,080 --> 00:10:04,900
475
+ CarbocationุŒ ู…ุงุฐุง ูŠุฃุชูŠ ู„ู‡ุŸุณูŠุงู„ ู…ุงูŠู†ูˆุณ ุงู„ูุฑูŠ ุฑุงุฏูŠูƒู„
476
+
477
+ 120
478
+ 00:10:04,900 --> 00:10:08,440
479
+ ูƒุงู† ูŠุฌูŠู„ู‡ ุฑุงุฏูŠูƒู„ ูƒุงู† ูŠุงุฎุฏ ุฑุงุฏูŠูƒู„ ู„ู…ุง ูŠูƒูˆู† ู‡ุฐุง ู…ูˆุฌุจ
480
+
481
+ 121
482
+ 00:10:08,440 --> 00:10:12,540
483
+ ุดูˆ ุจุฏู‡ ูŠุฌูŠู„ู‡ ู‡ุงูŠ ุณูŠุงู„ ู…ุงูŠู†ูˆุณ ู…ุน ุฅู„ูƒุชุฑูˆู†ุงุชู‡ ุทุงู„ู…ุง
484
+
485
+ 122
486
+ 00:10:12,540 --> 00:10:17,080
487
+ ุฅู†ู‡ planner ู…ุฑุฉ ุชุงู†ูŠุฉ ู…ู…ูƒู† ูŠูŠุฌูŠ ุนู† ุงู„ูŠู…ูŠู† ุฃูˆ ู…ู…ูƒู†
488
+
489
+ 123
490
+ 00:10:17,080 --> 00:10:23,380
491
+ ูŠูŠุฌูŠ ุนู† ุงู„ุดู…ุงู„ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ูŠุทู„ุน ุนู†ุฏู‡ ุงู„ two
492
+
493
+ 124
494
+ 00:10:23,380 --> 00:10:32,410
495
+ promo ุจูŠูˆุชูŠู† ู„ูƒู† ุจูŠุทู„ุน ู…ู†ู‡ุงู„ู„ูŠ ู‡ูˆ ุงู„ S ูˆ ุงู„ R ุจุทู„ุน
496
+
497
+ 125
498
+ 00:10:32,410 --> 00:10:37,970
499
+ ู…ู†ู‡ ุงู„ S ูˆ ุงู„ R isomers ู„ุงุญุธูˆุง ู…ุนู†ู‰ ุนู…ู„ ุงู„ุฅู„ู…
500
+
501
+ 126
502
+ 00:10:37,970 --> 00:10:41,630
503
+ ุจุชูˆุณุน ุงุญู†ุง ุฒู…ุงู† ูƒู†ุง ู†ู‚ูˆู„ูƒู… ุจุจุณุงุทุฉ ุงู† ุงู„ addition
504
+
505
+ 127
506
+ 00:10:41,630 --> 00:10:49,750
507
+ of HBR to one butane produces two bromobutane
508
+
509
+ 128
510
+ 00:10:49,750 --> 00:10:53,850
511
+ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ุงู„ุขู† ุจู†ูƒุชุดู ุงู†ู‡ ู„ุฃ ู‡ูˆ ุจุทู„ุนุด ุจุฑูƒุจ
512
+
513
+ 129
514
+ 00:10:53,850 --> 00:11:02,000
515
+ ูˆุงุญุฏ ู‡ูˆ ุจุทู„ุน ุงู„ R2-bromobutane ู‡ุฐุง ูˆุงู„ู€ S-2
516
+
517
+ 130
518
+ 00:11:02,000 --> 00:11:06,780
519
+ -bromobutane ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุฑูƒุจ ู‡ุฐุง ู…ุฑุฉ ุชุงู†ูŠุฉ ุจุชู„ุงุญุธูˆุง
520
+
521
+ 131
522
+ 00:11:06,780 --> 00:11:10,880
523
+ ุฃู†ู‡ ุฃู†ุง ู‡ู†ุง ู…ุงูƒู†ุด ุนู†ุฏูŠ ูˆู„ุง chiral center ููŠ ุงู„ุฌุฒุก
524
+
525
+ 132
526
+ 00:11:10,880 --> 00:11:15,940
527
+ ุงู„ู„ูŠ ุงุจุชุฏูŠุช ู…ู†ู‡ ุตุงุฑ ููŠ ุนู†ุฏู‰ chiral centers ู„ู…ุง
528
+
529
+ 133
530
+ 00:11:15,940 --> 00:11:19,300
531
+ ุงุชูƒูˆู† chiral centers ุจุชูƒูˆู† charismatic mixture
532
+
533
+ 134
534
+ 00:11:19,300 --> 00:11:24,010
535
+ ุจู†ุณุจุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู„ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ
536
+
537
+ 135
538
+ 00:11:24,010 --> 00:11:29,490
539
+ ู„ูˆ ุฌูŠู†ุง ู†ุฏุฑุณ ุงู„ optical activity ู„ูˆ ุฌูŠุจุช ูƒู„ ุงู„
540
+
541
+ 136
542
+ 00:11:29,490 --> 00:11:33,070
543
+ reactant ุงู„ู„ูŠ ู‡ู†ุง ู‚ุจู„ ุงู„ุชูุงุนู„ ูˆ ุญุทูŠุชู‡ ููŠ ุงู„
544
+
545
+ 137
546
+ 00:11:33,070 --> 00:11:37,910
547
+ polarimeter ุจูŠูƒูˆู† active ูˆู„ุง inactiveุŸ inactive ู„ูˆ
548
+
549
+ 138
550
+ 00:11:37,910 --> 00:11:43,490
551
+ ุฌูŠุจุช ุฎู„ูŠู‚ ุงู„ู†ูˆุงุชุฌ ูˆ ุญุทูŠุชู‡ ููŠ ุงู„ polarimeterุŸ
552
+
553
+ 139
554
+ 00:11:43,490 --> 00:11:48,610
555
+ inactive ู„ุฃู†ู‡ ุจู†ุณุจุฉ 50% ู„ 50% ุตูุฑ ุงู„ rotation ุชุจุนู‡
556
+
557
+ 140
558
+ 00:11:48,610 --> 00:11:53,220
559
+ ูˆู‡ุฐุง ู†ูุณ ุงู„ุงุดูŠุงุกููŠุด chiral center inactive ู‡ู†ุง
560
+
561
+ 141
562
+ 00:11:53,220 --> 00:11:57,360
563
+ ุฑุณู…ูƒ mixture ูˆ ุงู„ุฑุณู…ูƒ mixture inactive ุตุงุฑ ููŠ
564
+
565
+ 142
566
+ 00:11:57,360 --> 00:12:01,620
567
+ ุนู†ุฏู†ุง ู‚ุงุนุฏุฉ ููŠ ุงู„ stereo chemistry ุจุชู‚ูˆู„ ุงู„ู‚ุงุชูŠ
568
+
569
+ 143
570
+ 00:12:01,620 --> 00:12:07,620
571
+ ุจุชู‚ูˆู„ optically inactive reactants produces
572
+
573
+ 144
574
+ 00:12:07,620 --> 00:12:13,340
575
+ optically inactive products ุงู„ู„ูŠ ุจู†ู‚ุตุฏู‡ ู‡ู†ุง ุงู† ูƒู„
576
+
577
+ 145
578
+ 00:12:13,340 --> 00:12:17,600
579
+ ุงู„ู†ุงุชุฌ ุนู„ู‰ ุจุนุถู‡ ู„ูˆ ุจุนุฏูƒ ุจุทุฑูŠู‚ุฉ ู…ุง ูุตู„ุช ู‡ุฐุง ู„ุญุงู„ู‡ ูˆ
580
+
581
+ 146
582
+ 00:12:17,600 --> 00:12:21,110
583
+ ุจุนุฏ ู„ุญุงู„ู‡ ู‡ุฐุง ุจูŠูƒูˆู† active ูˆ ู‡ุฐุง activeู„ูƒู† ุฃู†ุง
584
+
585
+ 147
586
+ 00:12:21,110 --> 00:12:26,230
587
+ ุจุญูƒูŠ ูƒู†ุชุฌ ุงู„ู†ุชุฌ ุฑุงุณูŠู…ูŠูƒ ู…ูŠูƒุณุดุชุฑ inactive ุนุดุงู†ูƒ
588
+
589
+ 148
590
+ 00:12:26,230 --> 00:12:31,070
591
+ ุงู„ู‚ุงุนุฏุฉ ุงู„ุนุงู…ุฉ optically inactive reactants
592
+
593
+ 149
594
+ 00:12:31,070 --> 00:12:36,550
595
+ produces optically inactive products ุทุจุนุง ู…ุงุญุฏุด
596
+
597
+ 150
598
+ 00:12:36,550 --> 00:12:43,870
599
+ ูŠุนุชู‚ุฏ ุงู† ุนูƒุณ ู‡ุฐู‡ ุงู„ู‚ุงุนุฏุฉ ุจูŠูƒูˆู† ุตุญูŠุญู…ุง ุจู†ู‚ูˆู„ุด ุงุญู†ุง
600
+
601
+ 151
602
+ 00:12:43,870 --> 00:12:46,850
603
+ optically active reactants produces optically
604
+
605
+ 152
606
+ 00:12:46,850 --> 00:12:50,330
607
+ active products ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุงู„ู…ุนุงูƒุณุฉ ู…ุฑุงุช ุจุชุธุจุท
608
+
609
+ 153
610
+ 00:12:50,330 --> 00:12:55,270
611
+ ู…ุฑุงุช ู„ุฃ ู„ูƒู† ุงู„ุฌู…ู„ุฉ ุงู„ุฃูƒูŠุฏุฉ optically inactive
612
+
613
+ 154
614
+ 00:12:55,270 --> 00:12:58,490
615
+ reactants produces optically inactive products
616
+
617
+ 155
618
+ 00:12:58,490 --> 00:13:03,530
619
+ ูˆุงุถุญุŸ ู‡ุฐู‡ ุงู„ุฌู…ู„ุฉ ุงู„ุฃูƒูŠุฏุฉ ุฅุฐุง ุงุณุชูˆุนุจุชูˆุง ุจุงู„ุธุจุท ุฅูŠุด
620
+
621
+ 156
622
+ 00:13:03,530 --> 00:13:06,950
623
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ู„ู…ุง ู†ุนู…ู„ generation of a chiral
624
+
625
+ 157
626
+ 00:13:06,950 --> 00:13:13,920
627
+ center we produce simply a racemicmix jar ูˆุงุถุญุŸ
628
+
629
+ 158
630
+ 00:13:13,920 --> 00:13:17,840
631
+ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุงู„ุฃูˆู„ู‰ ุฃูˆ ุงู„ู†ูˆุน ุงู„ุฃูˆู„ ู…ู† ุงู„ุชูุงุนู„ ุงู„ู†ูˆุน
632
+
633
+ 159
634
+ 00:13:17,840 --> 00:13:24,460
635
+ ุงู„ุชุงู†ู‰ ุฃุณู‡ู„ .. ุงู„ู†ูˆุน ุงู„ุชุงู†ู‰ ุฃุณู‡ู„ ุจูŠู‚ูˆู„ ุงู„ู‚ุงุชู„ ู„ูˆ
636
+
637
+ 160
638
+ 00:13:24,460 --> 00:13:30,500
639
+ ุนู…ู„ู†ุง ุชูุงุนู„ ุจุนูŠุฏุง ุนู† ุงู„ chiral center ู„ูˆ ุนู…ู„ู†ุง
640
+
641
+ 161
642
+ 00:13:30,500 --> 00:13:37,860
643
+ ุชูุงุนู„ ุจุนูŠุฏุง ุนู† ุงู„ chiral center ุดูˆ ุจูŠุตูŠุฑ ุนู†ุฏู‡ุŸูˆุงุถุญ
644
+
645
+ 162
646
+ 00:13:37,860 --> 00:13:42,060
647
+ ุงู„ุณุคุงู„ุŸ ุฎู„ู‘ูŠู†ูŠ ุฃุนุทูŠูƒูˆุง ูŠุงุจ ุจุณุงุทุฉุŒ ู„ูˆ ุงุชุฎูŠู„ุช ุฃู†ุง
648
+
649
+ 163
650
+ 00:13:42,060 --> 00:13:45,300
651
+ ู‡ู†ุง ูƒุฅู†ุณุงู† ุนู†ุฏูŠ chiral centerุŒ ู‡ุงูŠ ุงุชุฌุงู‡ุŒ ู‡ุงูŠ
652
+
653
+ 164
654
+ 00:13:45,300 --> 00:13:47,620
655
+ ุงู„ุงุชุฌุงู‡ ุงู„ุชุงู†ูŠุŒ ู‡ุงูŠ ุงู„ุงุชุฌุงู‡ ุงู„ุชุงู„ุชุŒ ู‡ุงูŠ ุงู„ุงุชุฌุงู‡
656
+
657
+ 165
658
+ 00:13:47,620 --> 00:13:52,940
659
+ ุงู„ุฑุงุจุนุŒ ูˆู…ุงุงุฎุฏ ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุงุช ุจุงู„ุธุจุทุŒ ูˆุฅุฌูŠุช ุจุนูŠุฏ ุนู†
660
+
661
+ 166
662
+ 00:13:52,940 --> 00:13:55,380
663
+ ู‡ุฐุง ุงู„ chiral centerุŒ ุงุนู…ู„ ุงู„ุชูุงุนู„ุŒ ูŠุนู†ูŠ ู…ุซู„ุง
664
+
665
+ 167
666
+ 00:13:55,380 --> 00:13:59,520
667
+ ู†ู…ุณูƒุช ู‡ุฐุง ู‡ู†ุงุŒ ู‡ู„ ูŠุง ุชูˆุฑุง ู‡ุฐู‡ ุงู„ุงุชุฌุงู‡ุงุช ุงู„ุฃุฑุจุนุฉ
668
+
669
+ 168
670
+ 00:13:59,520 --> 00:14:04,080
671
+ ุชุบูŠุฑ ููŠู‡ุง ุฅุดูŠุŸุจู…ุนู†ู‰ ู„ูˆ ุฃู†ุง ูƒู†ุช ุดุบุงู„ ุนู„ู‰ ุจุฑู†ุงู…ุฌ
672
+
673
+ 169
674
+ 00:14:04,080 --> 00:14:09,080
675
+ ุฑุงุณู… ูˆ ู‡ุฐุง ุงู„ reactant ูˆ ุจุฏู‡ ุฃุญุท ู„ productุŒ ุดูˆ
676
+
677
+ 170
678
+ 00:14:09,080 --> 00:14:15,940
679
+ ุจุนู…ู„ุŸ ุจุนู…ู„ ู†ุณุฎุŸูˆ ู„ุงุตู‚ ูˆ ุจุบูŠุฑ ุจุณ ุดุบู„ุฉ ุจุณูŠุทุฉ ุนู„ู‰
680
+
681
+ 171
682
+ 00:14:15,940 --> 00:14:21,000
683
+ ุงู„ุทุฑู ู„ูƒู† ู‡ู„ ุบูŠุฑุช ุงุชุฌุงู‡ ุงู„ู…ุฌู…ูˆุนุงุช ุญูˆู„ ุงู„ chiral
684
+
685
+ 172
686
+ 00:14:21,000 --> 00:14:26,600
687
+ centerุŸ ุงู‡ ุฅุฐุง ุงู„ reaction ู„ู…ุง ุจูŠูƒูˆู† away ุจุนูŠุฏ ุนู†
688
+
689
+ 173
690
+ 00:14:26,600 --> 00:14:31,760
691
+ ุงู„ chiral center away from ุนู„ู‰ ุงู„ orientation ูŠุนู†ูŠ
692
+
693
+ 174
694
+ 00:14:31,760 --> 00:14:36,630
695
+ ู†ูุณ ุงุชุฌุงู‡ ุงู„ู…ุฌู…ูˆุนุงุชูˆุงุถุญุŸ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ุดุบู„ู‡ ุจู†ุณู…ูŠู‡ุง
696
+
697
+ 175
698
+ 00:14:36,630 --> 00:14:40,930
699
+ retention of configuration ุงู†ู‡ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ู…ุซู„ุง
700
+
701
+ 176
702
+ 00:14:40,930 --> 00:14:44,390
703
+ ุจุชุฃุดุฑ ุจุงู„ุงุชุฌุงู‡ ู‡ุฐุงุŒ ู‡ุฐุง ุจุงู„ุงุชุฌุงู‡ ู‡ุฐุงุŒ ู‡ุฐุง ู„ููˆู‚ุŒ
704
+
705
+ 177
706
+ 00:14:44,390 --> 00:14:49,250
707
+ ู‡ุฐุง ู„ุชุญุชุŒ ูƒู„ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุงุช ุจุชุธู„ ุฒูŠ ู…ุง ู‡ูŠ ุงู„ุขู† ู…ู…ูƒู†
708
+
709
+ 178
710
+ 00:14:49,250 --> 00:14:55,150
711
+ ู†ุนุทูŠ ุฃู…ุซู„ุฉุŒ ู…ู…ูƒู† ู†ุนุทูŠ ุฃู…ุซู„ุฉู…ุซู„ู‹ุง ๏ฟฝ๏ฟฝูˆ ุทู„ุนู†ุง ุนู„ู‰ ู‡ุฐุง
712
+
713
+ 179
714
+ 00:14:55,150 --> 00:14:57,770
715
+ ุงู„ู…ูุฑูƒู‘ุจ ุฃู†ุง ู…ุด ูƒุชูŠุฑ ุจู‡ู… ุฃู† ุชูƒูˆู†ูˆุง ุนุงุฑููŠู† ุงู„ุชูุงุนู„
716
+
717
+ 180
718
+ 00:14:57,770 --> 00:15:02,790
719
+ ู„ุฃู†ู‡ ู„ุณู‡ ู…ุง ุฏุฑุณุชู‡ูˆุด ููŠ ุนู†ุฏูŠ CH3 ูˆ CH2 ูˆ CH3 ูˆ COH
720
+
721
+ 181
722
+ 00:15:02,790 --> 00:15:08,530
723
+ ูˆ COH ุฃุณุฏ ุงู„ุฃู† ู„ูˆ ู‡ุฐุง ุงู„ุญู…ุถ ุญูˆู„ุชู‡ ู„ E star ู‡ู„ ูŠุง
724
+
725
+ 182
726
+ 00:15:08,530 --> 00:15:12,150
727
+ ุชูˆุฑุฉ ุฃู†ุง ุบูŠุฑุช ููŠ ุงุชุฌุงู‡ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุงุชุŸ ุงุชุทู„ุนูˆุง ู…ุน
728
+
729
+ 183
730
+ 00:15:12,150 --> 00:15:15,610
731
+ ุงู„ ู…ุซู„ ู„ููˆู‚ ุงู„ S ู„ุชุญุช ุงู„ H ุจู‡ุงู„ุงุชุฌุงู‡ุŸ ูˆ ุจู‡ุฐู‡
732
+
733
+ 184
734
+ 00:15:15,610 --> 00:15:20,530
735
+ ุงู„ู†ุทูุฉ ุจุนูŠุฏู‹ุง ุนู† ุงู„ chiral center ุนู…ู„ุช ุชุบูŠูŠุฑ ูˆุงุถุญุŸ
736
+
737
+ 185
738
+ 00:15:20,530 --> 00:15:24,590
739
+ ุฅุฐุง ู‡ู†ุง ููŠ ุนู†ุฏูŠ ุนู…ู„ูŠุฉ ุฅูŠุดุŸretention of
740
+
741
+ 186
742
+ 00:15:24,590 --> 00:15:29,670
743
+ configuration ู†ูุณ ุงู„ุฃุดูŠ ู„ูˆ ู…ุซู„ุง ุฃุฎุฏุช ู‡ุฐุง ุงู„ู…ูุฑูƒู‘ุจ
744
+
745
+ 187
746
+ 00:15:29,670 --> 00:15:33,830
747
+ ุนู†ุฏูƒู… H ู‡ูŠ ุจุงุชุฌุงู‡ ู…ุนูŠู† CR ุจุงุชุฌุงู‡ ู…ุนูŠู† ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ
748
+
749
+ 188
750
+ 00:15:33,830 --> 00:15:37,870
751
+ ูˆ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ุฃุญูŠุงู†ุง ุงู„ู€H ู…ุฑุณูˆู…ุฉ ุตุบูŠุฑุฉ ู‡ุฐุง ุจุงู„ุฎุทุฃ
752
+
753
+ 189
754
+ 00:15:37,870 --> 00:15:42,570
755
+ ุจุชูƒูˆู† ุจุฏุฃ ุชุตุญูŠุญ ู…ุด ู…ุดูƒู„ุฉ ูˆ ุฃู†ุง ุญุงุทุช CH2OH ู…ุนุฑูˆู
756
+
757
+ 190
758
+ 00:15:42,570 --> 00:15:46,310
759
+ ุชูุงุนู„ ูˆ ุจู†ุชุนู„ู…ู‡ ุจุนุฏูŠู† ุฃู†ู‡ ุจุงู„ุฃูƒุณู„ ุฏู‡ ู‡ุฐู‡ ุจุชุตูŠุฑ C
760
+
761
+ 191
762
+ 00:15:46,310 --> 00:15:51,570
763
+ double bond O O OH ู…ุด H O H
764
+
765
+ 192
766
+ 00:15:58,400 --> 00:16:04,880
767
+ ุงู„ุฎู„ุงุตุฉ ู‡ู„ ูŠุง ุชูˆุฑุง ู‡ู†ุง ุชู… ุชุบูŠูŠุฑ ู„ุงุชุฌุงู‡ุงุช ุงู„ู…ุฌู…ูˆุนุงุช
768
+
769
+ 193
770
+ 00:16:04,880 --> 00:16:08,070
771
+ ูŠุนู†ูŠ ู„ุงุญุธูˆุง ุงู„ H ู„chlorine ุงูŠู‡ ููŠ ุงู„ููŠู„ู…ุฅุฐุง
772
+
773
+ 194
774
+ 00:16:08,070 --> 00:16:10,370
775
+ ุงู„ุจุฑุชู‚ุงู„ ุตุงุฑ ููŠ ุนู†ุฏ ุงู„ retention of configuration
776
+
777
+ 195
778
+ 00:16:10,370 --> 00:16:14,050
779
+ ู„ุฃู† ุงู„ุชูุงุนู„ ุจุนูŠุฏ ุนู† ุฅูŠุดุŸ ุจุนูŠุฏ ุนู† ุงู„ูƒุงุฆู†ุงุชุŒ ุนู†
780
+
781
+ 196
782
+ 00:16:14,050 --> 00:16:17,810
783
+ ุงู„ุฐู†ุจุงุช ุฅุฐุง ุฃู†ุง ู„ู…ุง ุฃูƒูˆู† ู…ุงุฎุฏ ุงุชุฌุงู‡ุงุช ู…ุนูŠู†ุฉ ูˆ ุฃุนู…ู„
784
+
785
+ 197
786
+ 00:16:17,810 --> 00:16:23,170
787
+ ุดุบู„ ู‡ู†ุง ู…ุง ุบูŠุฑุช ููŠ ุงู„ุงุชุฌุงู‡ุงุชุŒ ูˆุงุถุญุŸ ู‡ู†ุง ุจุชูŠุฌูŠ ุดุบู„
788
+
789
+ 198
790
+ 00:16:23,170 --> 00:16:29,550
791
+ ุญู‚ูŠู‚ุฉ ูˆ ูƒุชูŠุฑ ู…ู† ุงู„ุทู„ุงุจ ุจูŠุตูŠุฑ ุนู†ุฏู‡ู… ููŠู‡ุง ู†ูˆุน ู…ู†
792
+
793
+ 199
794
+ 00:16:29,550 --> 00:16:35,140
795
+ ุงู„ุฎุทุฃ ูˆ ู„ุงุจุฏ ู…ู† ุงู„ุชู†ูˆูŠู‡ ู„ู‡ุงุฅู†ู‡ ุจูŠุนุชู‚ุฏูˆุง ุฅู†ู‡
796
+
797
+ 200
798
+ 00:16:35,140 --> 00:16:39,600
799
+ ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ retention of configuration ุฅู† ู„ูˆ ูƒุงู†
800
+
801
+ 201
802
+ 00:16:39,600 --> 00:16:44,640
803
+ ุงู„ reactant ุงู„ู„ูŠ ุนู†ุฏู‡ RุŒ ุงู„ product ู„ุงุฒู… ูŠุทู„ุน R ุฃูˆ
804
+
805
+ 202
806
+ 00:16:44,640 --> 00:16:48,060
807
+ ู„ูˆ ูƒุงู† ุงู„ reactant ุงู„ู„ูŠ ุนู†ุฏู‡ SุŒ ุงู„ product ู„ุงุฒู…
808
+
809
+ 203
810
+ 00:16:48,060 --> 00:16:50,920
811
+ ูŠุทู„ุน SุŒ ู‡ุฐุง ู…ุด ู‡ูˆ ุงู„ู…ู‚ุตูˆุฏ ุจุงู„ retention of
812
+
813
+ 204
814
+ 00:16:50,920 --> 00:16:57,490
815
+ configurationูˆุงุถุญุŸ ู„ูŠุดุŸ ู„ุฃู† ุงู„ R ูˆ ุงู„ S ุชุญุฏูŠุฏู‡ุง ..
816
+
817
+ 205
818
+ 00:16:57,490 --> 00:17:02,690
819
+ ุชุญุฏูŠุฏู‡ุง ุนู„ู‰ ุญุณุจ ุฃูˆู„ูˆูŠุฉ ุงู„ู…ุฌู…ูˆุนุงุช any ุฃูƒุจุฑ any
820
+
821
+ 206
822
+ 00:17:02,690 --> 00:17:07,510
823
+ again any again ุฃู†ุง ู„ู…ุง ุจุนู…ู„ ู…ุฑุงุช ุชูุงุนู„ ุจุนูŠุฏุง ุนู†
824
+
825
+ 207
826
+ 00:17:07,510 --> 00:17:12,010
827
+ ุงู„ chiral center ู…ู…ูƒู† ู…ุฌู…ูˆุนุฉ ูƒุงู†ุช ู‡ูŠ ุงู„ุฃูƒุจุฑ ุชุตูŠุฑ
828
+
829
+ 208
830
+ 00:17:12,010 --> 00:17:15,400
831
+ ุฃุตุบุฑูˆุงุถุญุŸ ุงู„ู„ูŠ ุจูŠู‚ุตุฏู‡ ุจุงู„ู€ retention ูˆ ุจุงู„ู€
832
+
833
+ 209
834
+ 00:17:15,400 --> 00:17:19,360
835
+ configuration ู…ุด ุงู† ุงู„ู€ R ุชุธู‡ุฑ ูƒู€ R ูˆ ุงู„ู€ S ุชุธู‡ุฑ ูƒ
836
+
837
+ 210
838
+ 00:17:19,360 --> 00:17:24,720
839
+ S ู„ุฃ ุงู† ุงู„ุงุชุฌุงู‡ุงุช ููŠ ุงู„ูุฑุงุบ ุชุธู‡ุฑ ูƒู…ุง ู‡ูŠูˆุงุถุญุŸ ู„ูƒู†
840
+
841
+ 211
842
+ 00:17:24,720 --> 00:17:29,020
843
+ ุงู„ู€R ูˆ ุงู„ู€S ู…ุฑุงุช ุจุชุธู‡ุฑ ุงู„ู€RR ูˆ ุงู„ู€SS ู…ุฑุงุช ุจู†ุนูƒุณู‡
844
+
845
+ 212
846
+ 00:17:29,020 --> 00:17:33,800
847
+ ู‡ุฐุง ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฅูŠุด ุงู„ู…ุฌู…ูˆุนุงุช ุงู„ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ุงุชูุงุนู„ุช
848
+
849
+ 213
850
+ 00:17:33,800 --> 00:17:37,980
851
+ ูุงู„ู€R ูˆ ุงู„ู€S ู‡ูŠ ู‚ุตุฉ ุฃูˆู„ูˆูŠุงุช ุจูŠู†ู…ุง ุงู„ู„ูŠ ู…ู‚ุตูˆุฏ ุจุงู„
852
+
853
+ 214
854
+ 00:17:37,980 --> 00:17:40,640
855
+ retention of configuration ุงุชุฌุงู‡ุงุช ุฃู†ู‡ ุฃู†ุง ุนู†ุฏูŠ
856
+
857
+ 215
858
+ 00:17:40,640 --> 00:17:45,100
859
+ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ููŠ ุงู„ reactant ูˆุงุถุญุŸ ุจุชุญุท ุงู„ู…ุนุงุฏู„ุฉ
860
+
861
+ 216
862
+ 00:17:45,100 --> 00:17:49,510
863
+ product ุจูŠุฌูŠู†ูŠ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ุฒูŠ ู…ุง ู‡ูˆ ู…ุนุชุบูŠูŠุฑ ููŠ
864
+
865
+ 217
866
+ 00:17:49,510 --> 00:17:53,990
867
+ ุงู„ุทุฑู ุงู„ู„ูŠ ู‡ู†ุง ูˆุงุถุญุŸ ูู…ุงุญุฏุด ูŠูู‡ู… ูƒู„ู…ุฉ retention of
868
+
869
+ 218
870
+ 00:17:53,990 --> 00:17:59,360
871
+ configuration ุฃู†ู‡ ูŠูƒูˆู† ู…ุนู†ุงู‡ุงุฅู† ุงู„ R ู„ุงุฒู… ุชุธู„ R ูˆ
872
+
873
+ 219
874
+ 00:17:59,360 --> 00:18:04,000
875
+ ุงู„ S ู„ุงุฒู… ุชุธู„ S ู…ุฑุงุช ุฃู‡ ูˆ ู…ุฑุงุช ู„ุง ู…ุนู†ุงู‡ุง ุฅู† ุงู„
876
+
877
+ 220
878
+ 00:18:04,000 --> 00:18:08,260
879
+ bonding ุจูŠุธู„ูˆุง in the same directions ูˆุงุถุญ ุฅู†
880
+
881
+ 221
882
+ 00:18:08,260 --> 00:18:11,560
883
+ ุงู„ุงุฑุชุจุงุทุงุช ุจูŠุธู„ูˆุง ุจู†ูุณ ุงู„ุงุชุฌุงู‡ ุดุงูŠููŠู† ู‡ู†ุง ูƒูŠู
884
+
885
+ 222
886
+ 00:18:11,560 --> 00:18:15,880
887
+ ูƒุงู†ูˆุง ู‡ุฏูˆู„ ู…ุงุฎุฏูŠู† ๏ฟฝ๏ฟฝุฑุจุน ุงุชุฌุงู‡ุงุช ู†ุณุฎุช ุงู„ุฌุฒุก ูˆ ุญุทูŠุชู‡
888
+
889
+ 223
890
+ 00:18:15,880 --> 00:18:19,740
891
+ ู‡ู„ ุบูŠุฑุช ููŠ ุงู„ุฃุฑุจุน ุงุชุฌุงู‡ุงุช ู‡ุฏูˆู„ุŸ ู„ุฃ ู‡ุฐุง ุงู„ู…ู‚ุตูˆุฏ
892
+
893
+ 224
894
+ 00:18:19,740 --> 00:18:23,320
895
+ ุฅู†ู…ุง ู‚ุตุฉ R ูˆ S ุชุญุชู…ู„
896
+
897
+ 225
898
+ 00:18:27,250 --> 00:18:33,870
899
+ ุงู„ุชูุงุนู„ ุงู„ุชุงู„ุช ุจุฑุถู‡ ู‡ูˆ ู…ู† ุงู„ุชูุงุนู„ุงุช ุงู„ู„ู‰ ู…ุฑุช ุนู„ูŠูƒู…
900
+
901
+ 226
902
+ 00:18:33,870 --> 00:18:38,730
903
+ ู„ูˆ
904
+
905
+ 227
906
+ 00:18:38,730 --> 00:18:43,670
907
+ ู…ุซู„ุง ุฃุฎุฏู†ุง ุงู„ู…ุฑูƒุจ ุงู„ู„ู‰ ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุนู„ู‰ ุงู„ุณุจูˆุฑุฉ
908
+
909
+ 228
910
+ 00:18:43,670 --> 00:18:48,370
911
+ ู‡ุชู„ุงุญุธูˆุง ุฃู†ู‡ ููŠ ุนู†ุฏู†ุง chiral center ู‡ู†ุง ุชุทู„ุนูˆุง ุฅูŠุด
912
+
913
+ 229
914
+ 00:18:48,370 --> 00:18:53,050
915
+ ุนู†ุฏูƒู…ุŸู…ุซู„ ูˆ chlorine ูˆ ู…ุฌู…ูˆุนุฉ ุงู„ vinyl ู‡ุฐู‡ ูˆ ุงู„
916
+
917
+ 230
918
+ 00:18:53,050 --> 00:18:57,550
919
+ ash ุฅุฐุง ู‡ู†ุง ููŠ ุนู†ุฏูŠ chiral center ูˆู„ุง ู„ุฃ ุงู†ุง ุจุฏูŠ
920
+
921
+ 231
922
+ 00:18:57,550 --> 00:19:02,330
923
+ ุฃุนู…ู„ second chiral center ูŠุนู†ูŠ ุจุฏูŠ ุฃุนู…ู„ chiral
924
+
925
+ 232
926
+ 00:19:02,330 --> 00:19:08,630
927
+ center ุชุงู†ูŠ ุบูŠุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุงู„ุขู† ู„ู…ุง ุงู†ุง ..
928
+
929
+ 233
930
+ 00:19:08,630 --> 00:19:11,630
931
+ ุงู†ุชุจู‡ูˆุง ู…ุนุงูƒูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู„ู…ุง ุงู†ุง ุจุนู…ู„ second
932
+
933
+ 234
934
+ 00:19:11,630 --> 00:19:14,450
935
+ chiral center ูŠุนู†ูŠ ู‡ู†ุง ุจุฏูŠ ุงุนู…ู„ chiral center
936
+
937
+ 235
938
+ 00:19:14,450 --> 00:19:18,870
939
+ ุญู‚ูŠู‚ุฉ ุงู†ุง ุจูƒูˆู† ู‚ุงุนุฏ ุจุนู…ู„ ุชูุงุนู„ ุจุงู„ู†ุณุจุฉ ู„ู„ chiral
940
+
941
+ 236
942
+ 00:19:18,870 --> 00:19:24,940
943
+ center ุงู„ุงูˆู„ ุงูŠุด away from itุŒ ุจุนูŠุฏ ุนู†ู‡ูˆ ุจู†ุงุก ุนู„ู‰
944
+
945
+ 237
946
+ 00:19:24,940 --> 00:19:29,660
947
+ ุฐู„ูƒ ู„ู…ุง ุจุฏูŠ ุฃุฎุฏ ุงู„ chiral center ุงู„ุฃูˆู„ ู‡ู„ ูŠุง ุชุฑู‰
948
+
949
+ 238
950
+ 00:19:29,660 --> 00:19:34,000
951
+ ุจุชุชุบูŠุฑ ุงุชุฌุงู‡ุงุชู‡ุŸ ุฃู‡ ุฅุฐุง ุฌุฒุก ู…ู† ู‡ุฐู‡ ุงู„ู…ุณุฃู„ุฉ ู„ู…ุง ุฃู†ุง
952
+
953
+ 239
954
+ 00:19:34,000 --> 00:19:37,940
955
+ ุจุนู…ู„ second chiral center ุฅู†ู‡ ุงู„ chiral center
956
+
957
+ 240
958
+ 00:19:37,940 --> 00:19:42,260
959
+ ุงู„ุฃูˆู„ ุฃู†ุง ุจุนูŠุฏ ุนู†ู‡ุทุงู„ู…ุง ุงู†ุง ุจุนูŠุฏ ุนู†ู‡ ุงุฐุง ุงู†ุง ุงุนู…ู„
960
+
961
+ 241
962
+ 00:19:42,260 --> 00:19:43,440
963
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
964
+
965
+ 242
966
+ 00:19:43,440 --> 00:19:44,800
967
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
968
+
969
+ 243
970
+ 00:19:44,800 --> 00:19:46,700
971
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
972
+
973
+ 244
974
+ 00:19:46,700 --> 00:19:47,680
975
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
976
+
977
+ 245
978
+ 00:19:47,680 --> 00:19:48,700
979
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
980
+
981
+ 246
982
+ 00:19:48,700 --> 00:19:48,940
983
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู†
984
+
985
+ 247
986
+ 00:19:48,940 --> 00:19:53,860
987
+ ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ
988
+
989
+ 248
990
+ 00:19:53,860 --> 00:20:00,990
991
+ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุฉ ุนู† ุนุจุงุฑุทุจ ู†ูŠุฌูŠ ู†ุณุฃู„ู†ุง ููŠ ุตู†ุงุนุงุช
992
+
993
+ 249
994
+ 00:20:00,990 --> 00:20:05,310
995
+ ู„ู…ุง ุจู†ูŠุฌูŠ ุจู†ุนู…ู„ ู‡ุฐุง ุงู„ุชูุงุนู„ ุจุฏู†ุง ู†ุถูŠู ุนู„ูŠู‡ HPR ููŠ
996
+
997
+ 250
998
+ 00:20:05,310 --> 00:20:10,390
999
+ ูˆุฌูˆุฏ ุงู„ู€ H Plus ุฃูˆู„ ุฎุทูˆุฉ ุฑุจู…ุง ุจุชุฐูƒุฑูˆุง ุจุฏู†ุง ู†ุญุท H
1000
+
1001
+ 251
1002
+ 00:20:10,390 --> 00:20:15,490
1003
+ ูˆูŠุชูƒูˆู† ุนู†ุฏูŠ Carbocation ู‡ู†ุง ุทุงู„ู…ุง ุงุชูƒูˆู† ุนู†ุฏูŠ
1004
+
1005
+ 252
1006
+ 00:20:15,490 --> 00:20:21,230
1007
+ Carbocation ู„ุจู„ุงู†ุฑ ุฅุฐุง ู…ู† ูˆูŠู† ู‡ุชุชู… ุงู„ุฅุถุงูุฉ ุนู„ูŠู‡ุŸ
1008
+
1009
+ 253
1010
+ 00:20:21,230 --> 00:20:26,350
1011
+ ู…ู† ุงู„ุฌู‡ุชูŠู† ุฒูŠ ู‚ุจู„ ุดูˆูŠุฉ ู…ุง ุญูƒูŠู†ุง ูˆุงุถุญุŸ ู…ุฌุฑุฏ ู…ุง ุจุถูŠู
1012
+
1013
+ 254
1014
+ 00:20:26,350 --> 00:20:31,730
1015
+ ู‡ู†ุง Hูˆ ุจูŠุตูŠุฑ ุนู†ุฏูƒ ูƒุงุฑุจูˆ ูƒุชุงูŠู† ู„ุจู„ุงู†ุฑ ู…ู† ุฃูŠู† ุชุชู…
1016
+
1017
+ 255
1018
+ 00:20:31,730 --> 00:20:36,110
1019
+ ุงู„ุฅุถุงูุฉ ุนู„ูŠู‡ุŸ ู…ู† ุงู„ุฌู‡ุชูŠู†ุŒ ุฅุฐุง ูƒุฃู†ู‡ ู…ุฑุฉ ูŠุฌูŠ ุงู„ PR
1020
+
1021
+ 256
1022
+ 00:20:36,110 --> 00:20:43,250
1023
+ ุจุงุชุฌุงู‡ ูˆ ู…ุฑุฉ ุจูŠุฌูŠ ุงู„ PR ุจุงู„ุงุชุฌุงู‡ ุงู„ุชุงู†ูŠุŒ ูˆุงุถุญุŸ ู„ูƒู†
1024
+
1025
+ 257
1026
+ 00:20:43,250 --> 00:20:47,630
1027
+ ู‡ู†ุง ุจุฏูƒูˆุง ุชู†ุชุจู‡ูˆุง ู„ู†ู‚ุทุฉ ุฅู† ู‡ุฏูˆู„ุฉ ู…ุง ุจูŠุทู„ุนูˆุด ุจู†ุณุจุฉ
1028
+
1029
+ 258
1030
+ 00:20:47,630 --> 00:20:51,630
1031
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุงุญู†ุง ู‚ุจู„ ุดูˆูŠุฉ ู„ู…ุง
1032
+
1033
+ 259
1034
+ 00:20:51,630 --> 00:20:55,730
1035
+ ูƒู†ุง ู†ุนู…ู„ ุงู„ first chiral center ูˆ ู†ุถูŠู ู…ู† ุงุชุฌุงู‡ูŠู†
1036
+
1037
+ 260
1038
+ 00:20:55,730 --> 00:21:00,560
1039
+ ูƒู†ุง ู†ู‚ูˆู„ ุจูŠุทู„ุนูˆุงุจุฎู…ุณูŠู† ูู‰ ุงู„ู…ูŠุฉ ุฎู…ุณูŠู† ูู‰ ุงู„ู…ูŠุฉ ู„ูŠุด
1040
+
1041
+ 261
1042
+ 00:21:00,560 --> 00:21:04,920
1043
+ ูู‰ ุงู„ู…ุฑุฉ ุงู„ุฃูˆู„ู‰ ุจูŠุทู„ุนูˆุง ุจู†ุณุจุฉ ู…ุชุณุงูˆูŠุฉ ูˆ ู‡ู†ุง ุจูŠู‚ูˆู„
1044
+
1045
+ 262
1046
+ 00:21:04,920 --> 00:21:08,700
1047
+ ุงู†ู‡ ุจูŠุทู„ุน ุนู†ุฏู‰ diastereomers ู„ู…ุง ู†ุทู„ุน ู‡ุฏูˆู„ ุงู„ุชุงู„ูŠุฉ
1048
+
1049
+ 263
1050
+ 00:21:08,700 --> 00:21:12,560
1051
+ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุจdiastereomers in unequal amounts ููŠ
1052
+
1053
+ 264
1054
+ 00:21:12,560 --> 00:21:18,220
1055
+ ู…ู‚ุงุฏูŠุฑ ุบูŠุฑ ู…ุชุณุงูˆูŠุฉ ุงู„ุณุจุจ ุงู† ุงู„ุฌุฒุก ู‡ู†ุงู…ุด ู…ุชู…ุงุซุจ
1056
+
1057
+ 265
1058
+ 00:21:18,220 --> 00:21:23,200
1059
+ ูŠุนู†ูŠ ู‡ุฐู‡ ูƒุงู†ุช ุจุชุญุชู…ู„ ุฃู†ู‡ุง ุชูƒูˆู† R ุฃูˆ S ู„ูƒู† ู‡ูŠ ู…ุฎุฏุฉ
1060
+
1061
+ 266
1062
+ 00:21:23,200 --> 00:21:28,260
1063
+ stereo chemistry ูˆุงุญุฏุฉ ูˆุงุถุญ ุงู„ chiral center ุงู„ุฃูˆู„
1064
+
1065
+ 267
1066
+ 00:21:28,260 --> 00:21:34,690
1067
+ ูˆุฌูˆุฏู‡ ุจูŠุฃุซุฑ ุนู„ู‰ุงู„ุฅุถุงูุฉ ุงู„ุฌุฏูŠุฏุฉ ูˆุฌูˆุฏ ุงู„ู€ Chiral
1068
+
1069
+ 268
1070
+ 00:21:34,690 --> 00:21:40,210
1071
+ Center ุงู„ุฃูˆู„ ุจูŠุฎู„ู‘ูŠ ุฃูˆู„ูˆูŠุฉ ู„ู…ุฌู…ูˆุนุฉ ู†ู‚ุฑูˆู… ุชูŠุฌูŠ ู…ู†
1072
+
1073
+ 269
1074
+ 00:21:40,210 --> 00:21:43,650
1075
+ ุฌู‡ุฉ ุฃูƒุชุฑ ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉ ูุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ู…ุง
1076
+
1077
+ 270
1078
+ 00:21:43,650 --> 00:21:47,450
1079
+ ุจูŠุชูƒูˆู‘ู† ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1080
+
1081
+ 271
1082
+ 00:21:47,450 --> 00:21:49,470
1083
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ
1084
+
1085
+ 272
1086
+ 00:21:49,470 --> 00:21:54,370
1087
+ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1088
+
1089
+ 273
1090
+ 00:21:54,370 --> 00:21:56,190
1091
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ
1092
+
1093
+ 274
1094
+ 00:21:56,190 --> 00:21:58,690
1095
+ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌู‡ุฒ ู…ุฌู…ูˆุนุฉ ุฏูŠุณุชูŠุฑูŠูˆ
1096
+
1097
+ 275
1098
+ 00:21:58,690 --> 00:22:03,530
1099
+ ู…ุงุฑุณ ุนู†ุฏู…ุง ู†ุฌthe presence of the fairs Cairo
1100
+
1101
+ 276
1102
+ 00:22:03,530 --> 00:22:12,750
1103
+ Center ูˆุฌูˆุฏ Cairo Center ุฃูˆู„ ุฃุซุฑ ุนู„ู‰ ุฅูŠุดุŸ ุฃุซุฑ ุนู„ู‰
1104
+
1105
+ 277
1106
+ 00:22:12,750 --> 00:22:20,510
1107
+ ุงู„ู„ูŠ ู‡ูˆ ู…ูˆู‚ุน ุฌุงูŠุฉ ู„ุจุฑูˆู… ูˆุงุถุญุŸ ุชู…ุงู…ุง ุฒูŠ ู„ูˆ ูƒู†ุง ู…ุซู„ุง
1108
+
1109
+ 278
1110
+ 00:22:20,510 --> 00:22:24,330
1111
+ ุจุฏู†ุง ู†ูŠุฌูŠ ู†ุชุฎูŠู„ ุฃู† ุฃุญู†ุง ุจู†ู‚ูˆู„ูƒูˆุง ูˆุงู„ู„ู‡ ุงุชูุถู„ูˆุง ู‡ู†ุง
1112
+
1113
+ 279
1114
+ 00:22:25,610 --> 00:22:29,270
1115
+ ุฃูŠ ุญุฏ ูˆุงู‚ู ู‡ู†ุง ู…ู…ูƒู† ูŠุชุฎูŠู„ ุฃู†ู‡ ุจูŠุฌูŠ ุนู† ุงู„ูŠู…ูŠู† ุฃูˆ
1116
+
1117
+ 280
1118
+ 00:22:29,270 --> 00:22:33,490
1119
+ ุจูŠุฌูŠ ุนู† ุงู„ุดู…ุงู„ ุฅุฐุง ุงู„ุฃู…ูˆุฑ ู…ุชุนุงุฏู„ุฉ ู…ุงููŠุด ุนู†ุฏู‡ ุฃูŠ
1120
+
1121
+ 281
1122
+ 00:22:33,490 --> 00:22:38,630
1123
+ ู…ุดูƒู„ุฉ ุงู„ุงุญุชู…ุงู„ูŠุฉ ู…ุชุณุงูˆูŠุฉ ุงู„ุขู† ู„ูˆ ุญุทูŠุช ู‡ู†ุง ุนู‚ุจุฉ ู…ุงุŸ
1124
+
1125
+ 282
1126
+ 00:22:38,630 --> 00:22:43,770
1127
+ ูˆู„ูˆ ุนู‚ุจุฉ ุจุณูŠุทุฉ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ุจูŠุฌูŠ ู…ู† ู‡ู†ุง ุฃูƒุชุฑ ู…ู† ุงู„ู„ูŠ
1128
+
1129
+ 283
1130
+ 00:22:43,770 --> 00:22:48,530
1131
+ ุจูŠุฌูŠ ู…ู† ู‡ู†ุง ูุจุชุฎุชู„ ุฅูŠุดุŸ ุจุชุฎุชู„ ุงู„ู†ุณุจุฉ ูˆู‡ุฐู‡ ุงู„ุนู‚ุจุฉ
1132
+
1133
+ 284
1134
+ 00:22:48,530 --> 00:22:55,330
1135
+ ู‡ูŠ ูˆุฌูˆุฏ ุงู„ู€ Chiral Center ุงู„ุฃูˆู„ ุจูŠุฎู„ูŠ ุฌู‡ุฉุฃูุถู„ ู…ู†
1136
+
1137
+ 285
1138
+ 00:22:55,330 --> 00:22:58,790
1139
+ ุงู„ุชุงู†ูŠุฉ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุตุญ ุฃู†ุง ู„ู…ุง ุจุนู…ู„ ุงู„ second
1140
+
1141
+ 286
1142
+ 00:22:58,790 --> 00:23:05,350
1143
+ chiral center ุจุนู…ู„ ุงู„ุฅุถุงูุฉ ุนู„ู‰ ุงู„ุฌู‡ุชูŠู† ู„ูƒู† ุจุชูƒูˆู†
1144
+
1145
+ 287
1146
+ 00:23:05,350 --> 00:23:12,730
1147
+ in unequal amounts ููŠ ู…ู‚ุงุฏูŠุฑ ุบูŠุฑ ู…ุชุณุงูˆูŠุฉ ุฅุฐุง ุงู„
1148
+
1149
+ 288
1150
+ 00:23:12,730 --> 00:23:15,330
1151
+ generation of a second chiral center simply
1152
+
1153
+ 289
1154
+ 00:23:15,330 --> 00:23:18,830
1155
+ produces the stereomeric products they are the
1156
+
1157
+ 290
1158
+ 00:23:18,830 --> 00:23:22,290
1159
+ stereomers ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… at different rates ุจุณุฑุนุฉ
1160
+
1161
+ 291
1162
+ 00:23:22,290 --> 00:23:28,560
1163
+ ู…ุฎุชู„ูุฉูˆ in unequal amounts ูˆ ุจู…ู‚ุงุฏูŠุฑ ู…ุฎุชู„ูุฉ
1164
+
1165
+ 292
1166
+ 00:23:28,560 --> 00:23:35,580
1167
+ ูุงู„ุชูุงุนู„ ุณุฑุนุชู‡ ู…ุฎุชู„ูุฉ ูˆ ู…ู‚ุฏุงุฑู‡ ู…ุฎุชู„ู ูˆุงุถุญ ู‡ุฐุง
1168
+
1169
+ 293
1170
+ 00:23:35,580 --> 00:23:39,820
1171
+ ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ู…ู† ุงู„ุชูุงุนู„ุงุช ุงู„ู„ุฎุตู‡ู… ุจุจุณุงุทุฉ ุงู†ุง ู„ู…ุง
1172
+
1173
+ 294
1174
+ 00:23:39,820 --> 00:23:43,500
1175
+ ุจู‚ูˆู„ ุงู‡ู… ุงู„ุชูุงุนู„ุงุช ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ stereo isomers ุงุฐุง
1176
+
1177
+ 295
1178
+ 00:23:43,500 --> 00:23:47,500
1179
+ ุจุชุนู…ู„ generation of a chiral center ุจุทู„ุน ุนู†ุฏู‡
1180
+
1181
+ 296
1182
+ 00:23:47,500 --> 00:23:52,100
1183
+ racemic mixtures ุงุฐุง ุจุชุนู…ู„ reaction away from a
1184
+
1185
+ 297
1186
+ 00:23:52,100 --> 00:23:55,720
1187
+ chiral centerููŠ ุนู†ุฏูŠ retention of configuration
1188
+
1189
+ 298
1190
+ 00:23:55,720 --> 00:23:59,660
1191
+ ุฅุฐุง ุจุฏุนู…ู„ generation of a second chiral center ููŠ
1192
+
1193
+ 299
1194
+ 00:23:59,660 --> 00:24:07,740
1195
+ ุนู†ุฏูŠ diastereomers in unequal amounts ุขุฎุฑ ุดุบู„ุฉ
1196
+
1197
+ 300
1198
+ 00:24:07,740 --> 00:24:14,180
1199
+ ุจู†ุดุฑุญู‡ุง ุจุดูƒู„ ูˆุตููŠ ูƒุจูŠุฑ ุฌุฏุง ู„ุฃู† ุงู„ุนู…ู„ูŠุฉ ุญู‚ูŠู‚ุฉ
1200
+
1201
+ 301
1202
+ 00:24:14,180 --> 00:24:21,060
1203
+ ุชูุตูŠู„ูŠุง ู…ุนู‚ุฏุฉ ูˆ ุชุทุจูŠู‚ูŠุง ุฃูˆ ุนู…ู„ูŠุง ุนู…ู„ูŠุฉ ุตุนุจุฉ ูƒุชูŠุฑ
1204
+
1205
+ 302
1206
+ 00:24:22,180 --> 00:24:26,580
1207
+ ุงู„ู„ูŠ ู‡ูŠ ุจุณู…ู‡ุง resolution of enantiomers ุงูŠุด ุงู„ู„ูŠ
1208
+
1209
+ 303
1210
+ 00:24:26,580 --> 00:24:32,320
1211
+ ุงุญู†ุง ุจู†ู‚ุตุฏู‡ ุจ resolution of enantiomers ูุตู„ ุงู„
1212
+
1213
+ 304
1214
+ 00:24:32,320 --> 00:24:36,300
1215
+ enantiomers ู‚ุจู„ ุดูˆูŠุฉ ุงุญู†ุง ุงุฎุฏู†ุง ู„ูˆ ุนู…ู„ู†ุง ุชูุงุนู„
1216
+
1217
+ 305
1218
+ 00:24:36,300 --> 00:24:41,240
1219
+ generation of chiral center ุจูŠุทู„ุน ุนู†ุฏู‡ R ูˆ S ุฎู„ุท
1220
+
1221
+ 306
1222
+ 00:24:41,240 --> 00:24:47,620
1223
+ ุงู„ุณุคุงู„ ู‡ู„ ูŠุง ุชูˆุฑุฉ ุจู†ู‚ุฏุฑ ู†ูุตู„ ุงู„ R ุนู† ุงู„ S ูˆุงุถุญุŸ
1224
+
1225
+ 307
1226
+ 00:24:48,170 --> 00:24:54,390
1227
+ ุงู„ุฌูˆุงุจ ุงู†ู‡ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ ุฌุฏุง ุฌุฏุง .. ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉ
1228
+
1229
+ 308
1230
+ 00:24:54,390 --> 00:25:00,430
1231
+ ุฌุฏุง ุฌุฏุง .. ุงู„ุณุคุงู„ ู„ูŠุด ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉุŸ ู„ุฃู†ู‡ ุฏุงุฆู…ุง ูˆ
1232
+
1233
+ 309
1234
+ 00:25:00,430 --> 00:25:04,230
1235
+ ุฃุจุฏุง .. ุฏุงุฆู…ุง ูˆ ุฃุจุฏุง .. ุงุญู†ุง ุจู†ูุตู„ ุงู„ุฃุดูŠุงุก ุจู†ุงุก
1236
+
1237
+ 310
1238
+ 00:25:04,230 --> 00:25:12,210
1239
+ ุนู„ู‰ ุงู„ุงุฎุชู„ุงูุงุช ุจุชุงุนุชู‡ุง ู…ุซู„ุงุŒ ูˆุงุญุฏ ุนู†ุฏู‡ ูˆู„ุงุฏ ุงุชู†ูŠู†ุŒ
1240
+
1241
+ 311
1242
+ 00:25:12,210 --> 00:25:16,900
1243
+ ูˆุงุญุฏ ูŠูƒุณูŠุฑ ูˆ ูˆุงุญุฏ ุทูˆูŠู„ุŒ ุจุฏู‡ ูŠู…ูŠุฒู‡ู… ุนู† ุจุนุถุจุณู‡ูˆู„ุฉ
1244
+
1245
+ 312
1246
+ 00:25:16,900 --> 00:25:20,220
1247
+ ุงู„ุทูˆูŠ ุงู„ู„ูŠ ุจุชู…ูŠุฒ ุนู„ู‰ ุงู„ู‚ุตูŠุฑุŒ ุงู„ุขู† ุชุฎูŠู„ ูˆุงุญุฏ ุนู†ุฏู‡
1248
+
1249
+ 313
1250
+ 00:25:20,220 --> 00:25:25,860
1251
+ ุชูˆู‚ู… ุณูŠุงู…ูŠุŒ ูŠู…ูƒู† ุงู„ุงู… ุชูƒูˆู† ุดุงุทุฑุฉุŒ ุชู‚ุฏุฑ ุชู…ูŠุฒู‡ู…ุŒ ุจุณ
1252
+
1253
+ 314
1254
+ 00:25:25,860 --> 00:25:31,020
1255
+ ุฃูƒูŠุฏ ู…ุฏุฑุณุŒ ุฃูƒูŠุฏ ู…ุฏุฑุณุŒ
1256
+
1257
+ 315
1258
+ 00:25:31,020 --> 00:25:38,080
1259
+ ูˆุงู„ุงุชู†ูŠู† ุจูŠุดุจู‡ูˆุง ุจุนุถ ุชู…ุงู…ุงูˆ ุจูŠุดูˆูู‡ู… ู‡ูŠูƒ ู…ุด ู‡ูŠู‚ุฏุฑ
1260
+
1261
+ 316
1262
+ 00:25:38,080 --> 00:25:43,240
1263
+ ูŠู…ูŠุฒู‡ู… ุนู† ุจุนุถ ุงุชุฎูŠู„ูˆุง ู…ุซู„ุง ู„ูˆ ูƒุงู† ุนู†ุฏูƒู… ุงุชู†ูŠู† ุชูˆู‚ู…
1264
+
1265
+ 317
1266
+ 00:25:43,240 --> 00:25:51,200
1267
+ ูˆ ุงุชู†ูŠู† ู„ุงุนุจูŠู† ููŠ ู…ู„ุนุจ ูƒุฑุฉ ู‚ุฏู… ู‡ู„ ู…ู† ุงู„ู…ู…ูƒู† ุงู† ูŠุชู…
1268
+
1269
+ 318
1270
+ 00:25:51,200 --> 00:25:58,260
1271
+ ุชู…ูŠูŠุฒู‡ู… ุนู† ุจุนุถ ุจุณู‡ูˆู„ุฉ ู„ุฅู†ุณุงู† ุฎุงุฑุฌูŠ ู…ุด ู…ู…ูƒู† ูŠุชู…
1272
+
1273
+ 319
1274
+ 00:25:58,260 --> 00:26:03,810
1275
+ ุชู…ูŠูŠุฒู‡ู… ุนู† ุจุนุถ ุจุณู‡ูˆู„ุฉ ู„ุฃู†ู‡ู…ุชุดุงุจู‡ูŠู† ูŠุนู†ูŠ ุงู†ุง ุจุงุฐูƒุฑ
1276
+
1277
+ 320
1278
+ 00:26:03,810 --> 00:26:10,050
1279
+ ู…ุฑุฉ ู‚ุฑุฃุช ุงูƒุชุฑ ุงุชู†ูŠู† ู…ุชุดุงุจู‡ูŠู† ุจูŠู„ุนุจูˆุง ูƒุฑุฉ ู‚ุฏู… ูƒุงู†ูˆุง
1280
+
1281
+ 321
1282
+ 00:26:10,050 --> 00:26:14,050
1283
+ ุงู‡ ู‡ุงูŠ ุฒูŠ ู…ุง ุจุชู‚ูˆู„ ุงุณู…ู„ูƒูˆุง ุญุณุงู… ุญุณู† ูˆ ุงุจุฑุงู‡ูŠู… ุญุณู†
1284
+
1285
+ 322
1286
+ 00:26:14,050 --> 00:26:19,670
1287
+ ู‡ุฏูˆู„ุฉ ู…ุชุดุงุจู‡ูŠู† ูู…ุฑุฉ ูˆุงุญุฏ ู…ู†ู‡ู… ู…ุนู‡ ุงู†ุฐุงุฑ ูˆ ููŠ ูˆุณุท
1288
+
1289
+ 323
1290
+ 00:26:19,670 --> 00:26:23,270
1291
+ ุฒุญู…ุฉ ุนู…ู„ ุบู„ุทุฉ ุชุงู†ูŠุฉ ุจูŠุงุฎุฏ ุงู†ุฐุงุฑ ุชุงู†ูŠ ุงุด ู…ุนู†ู‰ ูŠุงุฎุฏ
1292
+
1293
+ 324
1294
+ 00:26:23,270 --> 00:26:28,870
1295
+ ุงู†ุฐุงุฑ ุชุงู†ูŠุŸุฅู†ู‡ ุจุฏู‡ ูŠูุทุฑุฏ ุฃุฎูˆู‡ ุงู†ุชุจู‡ ู…ุจุงุดุฑุฉ ูˆ ุฌุฑูŠุจ
1296
+
1297
+ 325
1298
+ 00:26:28,870 --> 00:26:32,430
1299
+ ูˆ ุงู„ู…ู†ุทู‚ุฉ ุฒุญู…ุฉ ูƒุฑุฉ ูุฑุงุญ ุจุณุฑุนุฉ ุฏุงุฑ ุธู‡ุฑู‡ ู„ู„ุญุงูƒู… ุฅู†ู‡
1300
+
1301
+ 326
1302
+ 00:26:32,430 --> 00:26:38,930
1303
+ ุฃู†ุง ู‡ุงูŠ ุฑู‚ู… ุฅูŠู‡ ูˆ ุงู„ุญุงูƒู… ู…ุงุงู†ุชุจู‡ุด ูˆ ู‡ู… ุจูŠุญูƒูˆุง ู‡ุฐุง
1304
+
1305
+ 327
1306
+ 00:26:38,930 --> 00:26:43,030
1307
+ ุงู„ูƒู„ุงู… ุนู† ู†ูุณู‡ู… ู‡ู… ุจูŠุญูƒูˆุง ู‡ุฐุง ุงู„ูƒู„ุงู… ุนู† ู†ูุณู‡ู… ูŠุนู†ูŠ
1308
+
1309
+ 328
1310
+ 00:26:43,030 --> 00:26:47,770
1311
+ ุฃู†ุง ู‚ุฑุฃุชู‡ ุจุฌุฑูŠุฏุฉ ู„ูŠุดุŸ ู„ุฃู† ุงู„ุงุชู†ูŠู† ุจูŠุดุจู‡ูˆุง ุจุนุถ ุฌุฏุง
1312
+
1313
+ 329
1314
+ 00:26:47,770 --> 00:26:54,300
1315
+ ุฅุฐุง ู…ุจุฏุฃ ุงู„ูุตู„ ู‡ูˆ ุฅูŠุดุŸุงู„ุงุฎุชู„ุงูุŒ ุฅุฐุง ู…ุงููŠุด ุงุฎุชู„ุงู
1316
+
1317
+ 330
1318
+ 00:26:54,300 --> 00:26:58,280
1319
+ ูƒูŠู ุจุฏุฃ ุฃูุตู„ ุฃุดูŠุงุก ุนู† ุจุนุถุŸ ุงู„ุนู…ู„ูŠุฉ ุตุนุจุฉุŒ ุงู„ุขู† ุงู„
1320
+
1321
+ 331
1322
+ 00:26:58,280 --> 00:27:01,920
1323
+ enantiomers ุงุชุฐูƒุฑูˆุง ู…ุน ุงู„ physical appropriatism
1324
+
1325
+ 332
1326
+ 00:27:01,920 --> 00:27:06,300
1327
+ melting point ู„ูˆ ูƒู†ุช ุจุฏู‡ ุฃุนู…ู„ crystallization ู†ูุณ
1328
+
1329
+ 333
1330
+ 00:27:06,300 --> 00:27:09,880
1331
+ ุงู„ุฃุดูŠุงุก boiling point ู„ูˆ ุจุฏู‡ ุฃุนู…ู„ distillation ู†ูุณ
1332
+
1333
+ 334
1334
+ 00:27:09,880 --> 00:27:13,360
1335
+ ุงู„ุฃุดูŠุงุก polarity ู„ูˆ ุจุฏู‡ ุฃุนู…ู„ chromatography ู…ุด ู‡ุงุฏ
1336
+
1337
+ 335
1338
+ 00:27:13,360 --> 00:27:16,120
1339
+ ุงู„ุทุฑู‚ ุงู„ูุตู„ ุงู„ู„ูŠ ุงู†ุชูˆุง ุงุชุนู„ู…ุชูˆู‡ุง ููŠ ุงู„ organic lab
1340
+
1341
+ 336
1342
+ 00:27:16,690 --> 00:27:21,430
1343
+ ุงู„ูุตู„ ุจุงู„ุชู‚ุทูŠุฑ ูˆุงู„ูƒุฑูŠุณุชุงู„ูŠุฒูŠุดู† ูˆุงู„ูƒุฑูˆู…ุงุชูˆุบุฑุงูุŒ
1344
+
1345
+ 337
1346
+ 00:27:21,430 --> 00:27:25,170
1347
+ ูˆุงู†ุชุตุฑุชูˆุง ูˆุนู…ู„ู†ุง ุชุฌุงุฑุจุŒ ุงู„ุขู† ู‡ู… ู…ุดุชุฑูƒูŠู† ุจูƒู„ ู‡ุฐู‡
1348
+
1349
+ 338
1350
+ 00:27:25,170 --> 00:27:31,970
1351
+ ุงู„ุตูุงุชุŒ ุฅุฐู† ุนู…ู„ูŠุฉ ุงู„ูุตู„ ุตุนุจุฉุŒ ุงู„ุขู† ุงู„ุชููƒูŠุฑุงู„ุนุงู…
1352
+
1353
+ 339
1354
+ 00:27:31,970 --> 00:27:35,070
1355
+ ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ ูƒุงู„ุงุชูŠ ุจูŠู‚ูˆู„ูˆุง ู‡ุฏูˆู„ ุงู†ุงู†ุดูˆ ู…ุงุฑุฒ
1356
+
1357
+ 340
1358
+ 00:27:35,070 --> 00:27:40,230
1359
+ ู…ุชุดุงุจู‡ูŠู† ุจูŠูŠุฌูˆุง ุจูŠูุนู„ูˆู‡ู… ู…ุน ู…ุฑูƒุจ ุจูŠูƒูˆู† ูƒุงูŠุฑุงู„ ูˆ
1360
+
1361
+ 341
1362
+ 00:27:40,230 --> 00:27:44,610
1363
+ ุจูŠูˆุฑ ูˆ ุบุงู„ุจุง ู‡ุฐุง ู…ุฃุฎูˆุถ ู…ู† ู…ู†ุชุฌุงุช ุทุจูŠุนูŠุฉ ู„ู…ุง
1364
+
1365
+ 342
1366
+ 00:27:44,610 --> 00:27:48,710
1367
+ ูŠูุนู„ูˆู‡ู… ู…ุน ู…ุฑูƒุจ ูƒุงูŠุฑุงู„ ูˆ ุจูŠูˆุฑ ุจูŠุนุทูŠู†ุง ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ
1368
+
1369
+ 343
1370
+ 00:27:48,710 --> 00:27:53,870
1371
+ ู…ุงุฑุฒ ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ ู…ุงุฑุฒ ุจุชุฐูƒุฑูˆุง ุฅูŠุด ูƒุงู† ุงู„ุนู„ุงู‚ุฉ
1372
+
1373
+ 344
1374
+ 00:27:53,870 --> 00:27:55,730
1375
+ ุจูŠู†ู‡ู… ุจุงู„ physical propertiesุŸ
1376
+
1377
+ 345
1378
+ 00:27:59,900 --> 00:28:04,280
1379
+ ุงุชุทู„ุนูˆุง ุงูŠุด ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆ ู…ุงู„ุฒุŸ they have different
1380
+
1381
+ 346
1382
+ 00:28:04,280 --> 00:28:07,740
1383
+ physical properties ุงู„ enantiomers they have the
1384
+
1385
+ 347
1386
+ 00:28:07,740 --> 00:28:11,000
1387
+ same physical properties ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ู…ุง ุงู†ุง
1388
+
1389
+ 348
1390
+ 00:28:11,000 --> 00:28:14,480
1391
+ ุจูุนู„ู‡ู… ู…ุน chiral compound ุจุตูŠุฑ ุนู†ุฏู‰ ุจุฏู„ ู…ุง ู‡ู… two
1392
+
1393
+ 349
1394
+ 00:28:14,480 --> 00:28:19,340
1395
+ enantiomers ู…ุชุดุงุจู‡ูŠู† ุจุตูŠุฑ ุนู†ุฏู‰ุงู„ุฏูŠุงุณุชูŠุฑูŠูˆู…ุงุฑุฒ
1396
+
1397
+ 350
1398
+ 00:28:19,340 --> 00:28:24,140
1399
+ ู…ุฎุชู„ูุงุช ุจุงู„ physical properties ุทุงู„ู…ุง ุฃู†ู‡ู… ู…ุฎุชู„ูุงุช
1400
+
1401
+ 351
1402
+ 00:28:24,140 --> 00:28:27,960
1403
+ ุจุงู„ physical properties ุฅุฐุง ุจุฅู…ูƒุงู†ูŠ ุฃูุตู„ู‡ู… ุจุงู„ุทุฑู‚
1404
+
1405
+ 352
1406
+ 00:28:27,960 --> 00:28:32,640
1407
+ ุงู„ูƒูŠู…ูŠุงุฆูŠุฉ ุงู„ุชู‚ู„ูŠุฏูŠุฉ ุจุฃูุตู„ ุง๏ฟฝ๏ฟฝูƒุงูŠุฑุฉ ุงู„ compound ู…ุน
1408
+
1409
+ 353
1410
+ 00:28:32,640 --> 00:28:35,260
1411
+ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ูุนู„ุชู‡ ู…ุนู‡ุง ูˆ ุงู„ูƒุงูŠุฑุฉ ุงู„ุชุงู†ูŠุฉ ู…ุน ุงู„ู…ุงุฏุฉ
1412
+
1413
+ 354
1414
+ 00:28:35,260 --> 00:28:40,960
1415
+ ุงู„ู„ูŠ ูุนู„ุชู‡ ู…ุนู‡ุง ุจุนุฏ ุฐู„ูƒ ุจู„ุฒู…ู†ูŠ ุชุฌุฑุจุฉ ุฃูƒุณุฑ ุงู„ู…ุงุฏุฉ
1416
+
1417
+ 355
1418
+ 00:28:40,960 --> 00:28:45,360
1419
+ ุงู„ู„ูŠ ุถูุชู‡ุง ูˆ ุฃุฑุฏ ุฃู†ู‚ูŠู‡ู… ุงู„ุขู† ุชุทุจูŠู‚ูŠุง ู‡ุฐู‡ ุงู„ุนู…ู„ูŠุฉ
1420
+
1421
+ 356
1422
+ 00:28:46,340 --> 00:28:49,580
1423
+ ุตุนุจุฉ ูŠุนู†ูŠ ุงูŠ ูˆุงุญุฏ ุจูŠุนู…ู„ ุฑุณุงู„ุฉ ู…ุงุฌุณุชูŠุฑ ูˆ ุนู†ุฏู‡ pair
1424
+
1425
+ 357
1426
+ 00:28:49,580 --> 00:28:53,400
1427
+ of enanchomers ุจุฏู‡ ูŠู†ุฌูŠ ุงู„ู…ุชูุงุนู„ุงุช ุงู„ุฌูŠุฏุฉ ูˆ
1428
+
1429
+ 358
1430
+ 00:28:53,400 --> 00:28:57,840
1431
+ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฌูŠุฏุฉ ู„ูุตู„ู‡ู… ูˆ ุงู„ุทุฑูŠู‚ุฉ ุงู„ุฌูŠุฏุฉ ู„ุชูƒุณูŠุฑู‡ู… ูˆ
1432
+
1433
+ 359
1434
+ 00:28:57,840 --> 00:29:00,860
1435
+ ุจุนุฏ ู…ุง ูŠูƒุณุฑูˆุง ูŠุตูŠุฑูˆุง ู…ุฑูƒุจูŠู† ูŠุนูˆุฏูˆุง ูŠููƒูˆุง ุงู„ู…ุฑูƒุจูŠู†
1436
+
1437
+ 360
1438
+ 00:29:00,860 --> 00:29:06,000
1439
+ ุนู† ุจุนุถ ุจูŠุงุฎุฏูˆุง ุณู†ุฉ ุณู†ุชูŠู† ุดุบู„ ุงู‡ ุจุญูƒูŠ ุนู† ุณู†ุฉ ุณู†ุชูŠู†
1440
+
1441
+ 361
1442
+ 00:29:06,000 --> 00:29:11,480
1443
+ ุดุบู„ ูˆ ู‡ูˆ ูŠุนู…ู„ ุชุฌุงุฑุจ ูˆ ูŠุดุชุบู„ ุงุญุฏ ุฒู…ู„ุงุกู†ุง ุฏุงู„ูˆุง
1444
+
1445
+ 362
1446
+ 00:29:11,480 --> 00:29:17,930
1447
+ ุญูˆุงู„ูŠ ุงุฑุจุน ุณู†ูŠู† ูˆ ู‡ูˆ ุจูŠูุตู„ enanchomersุงู„ุนู…ู„ูŠุฉ ู„ูŠุณุช
1448
+
1449
+ 363
1450
+ 00:29:17,930 --> 00:29:22,930
1451
+ ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ุฃูˆ ุนู…ู„ูŠุฉ ุจุณูŠุทุฉ ู„ูƒู† ุงู„ููƒุฑุฉ ุงู„ุฃุณุงุณูŠุฉ
1452
+
1453
+ 364
1454
+ 00:29:22,930 --> 00:29:28,550
1455
+ ุชุญูˆูŠู„ ุงู„ enantiomers ุงู„ู…ุชุดุงุจุนุฉ ุจุงู„ุฎูˆุงุต ุงู„ููŠุฒูŠุงุฆูŠุฉ
1456
+
1457
+ 365
1458
+ 00:29:28,550 --> 00:29:32,150
1459
+ ุฅู„ู‰ diastereomers ู…ุฎุชู„ูุฉ ุจุงู„ุฎูˆุงุต ุงู„ููŠุฒูŠุงุฆูŠุฉ
1460
+
1461
+ 366
1462
+ 00:29:32,150 --> 00:29:37,980
1463
+ ุงู„ุชูุตูŠู„ ู„ุทู„ุงุจูŠู…ูƒู† ูŠูƒูˆู†ูˆุง ู…ุชุฎุตุตูŠู† ุงูƒุชุฑ ู…ู†ูƒูˆุง ูˆ ุงู†ุง
1464
+
1465
+ 367
1466
+ 00:29:37,980 --> 00:29:40,760
1467
+ ุจุฃูƒุฏู„ูƒูˆุง ุงู†ู‡ ู…ุด ููŠ ู…ุฑุญู„ุฉ ุงู„ bachelor's ู„ูˆ ูˆุงุญุฏ
1468
+
1469
+ 368
1470
+ 00:29:40,760 --> 00:29:45,320
1471
+ ุจูŠุดุชุบู„ ุจุญุซ ููŠ ู…ุฑุญู„ุฉ ู…ุงุฌุณุชูŠุฑ ู„ู…ุง ูŠุจุฏุฃ ูŠุนูˆุฏ ูŠุชุทุฑู‚
1472
+
1473
+ 369
1474
+ 00:29:45,320 --> 00:29:51,840
1475
+ ู„ู‡ุง ุงู„ุฃู…ูˆุฑ ู‡ุฐู‡ ูˆุงุถุญุŸ ุงุจู† ู‡ูŠูƒ ุชู‚ุฑูŠุจุง ุจู†ูƒูˆู† ุฃุฎุฏู†ุง
1476
+
1477
+ 370
1478
+ 00:29:51,840 --> 00:29:59,240
1479
+ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ููƒุฑุฉ ู…ู‚ุจูˆู„ุฉ ุงูˆ ุฌูŠุฏุฉ ููŠ ู…ูˆุถูˆุน chapter 5
1480
+
1481
+ 371
1482
+ 00:29:59,240 --> 00:30:01,420
1483
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ stereo chemistry
1484
+
1485
+ 372
1486
+ 00:30:04,850 --> 00:30:08,330
1487
+ ู„ุฃ ู„ุฃ ุจุฏู†ุง ู†ุนู…ู„ .. ุจุฏู†ุง ู†ุนู…ู„ ู…ู‚ุฏู…ุฉ ุนุดุงู† ุงู„ู…ุฑุฉ
1488
+
1489
+ 373
1490
+ 00:30:08,330 --> 00:30:16,450
1491
+ ุงู„ุฌุงูŠุฉ ู†ูƒูˆู† .. ูŠุนู†ูŠ ู†ุจุฏุฃ ุจุดูƒู„ ุณุฑูŠุน ู…ู‚ุฏู…ุฉ ุนู„ู‰ ุงู„ูุตู„
1492
+
1493
+ 374
1494
+ 00:30:16,450 --> 00:30:23,850
1495
+ ุงู„ู„ูŠ ุจุนุฏ ู‡ูŠูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ alkyl halides ุงู„ alkyl
1496
+
1497
+ 375
1498
+ 00:30:23,850 --> 00:30:28,850
1499
+ halides ุฑุจู…ุง ู…ุฑูˆุง ุนู„ูŠูƒู… ุงู„ู„ูŠ ู‡ู… ุงู„ R ุงู„ุญุงู…ู„ุฉ
1500
+
1501
+ 376
1502
+ 00:30:35,650 --> 00:30:39,630
1503
+ ุงู„ุนุงุฆู„ุฉ ุงู„ูƒู„ ู‡ูŠู„ุงูŠุช
1504
+
1505
+ 377
1506
+ 00:30:48,770 --> 00:30:51,890
1507
+ ู„ูˆ ุจุฏู†ุง ู†ุทู„ุน ุนู„ู‰ ุงู„ slides ุงู„ ุงู„ูƒุงู„ู‡ูŠู„ูŠุฏุฒ
1508
+
1509
+ 378
1510
+ 00:30:51,890 --> 00:30:58,430
1511
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1512
+
1513
+ 379
1514
+ 00:30:58,430 --> 00:31:02,130
1515
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1516
+
1517
+ 380
1518
+ 00:31:02,130 --> 00:31:05,310
1519
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1520
+
1521
+ 381
1522
+ 00:31:05,310 --> 00:31:05,310
1523
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1524
+
1525
+ 382
1526
+ 00:31:05,310 --> 00:31:06,330
1527
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1528
+
1529
+ 383
1530
+ 00:31:06,330 --> 00:31:06,530
1531
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1532
+
1533
+ 384
1534
+ 00:31:06,530 --> 00:31:08,610
1535
+ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ ุงู„ู‡ุงู„ูˆุฌูŠู†ูˆุงู„ูƒูŠู†ุฒ
1536
+
1537
+ 385
1538
+ 00:31:08,610 --> 00:31:13,080
1539
+ ุงู„ู‡ุงู„ูˆุฌูŠู†our group ุญุงู…ู„ุฉ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1540
+
1541
+ 386
1542
+ 00:31:13,080 --> 00:31:17,240
1543
+ ูู„ูˆุฑูŠู† ูƒู„ูˆุฑูŠู† ุจุฑูˆู…ูŠู† ุงูˆ ุงูŠูˆุฏูŠู† attached to an
1544
+
1545
+ 387
1546
+ 00:31:17,240 --> 00:31:21,860
1547
+ alkyl group ุทุจุนุง ุจุฏูƒูˆุง ุชู†ุชุจู‡ูˆุง ุงู† ููŠ ุนู†ุฏ ุงุฑูŠู„
1548
+
1549
+ 388
1550
+ 00:31:21,860 --> 00:31:29,140
1551
+ ู‡ูŠู„ุงูŠุชุฒุงู„ู„ูŠ ู‡ูˆ ู„ู…ุง ูŠูƒูˆู† ุงู„ุจู†ุฒูŠู† ุญุงู…ู„ ูƒู„ูˆุฑ ุฃูˆ ุจุฑูˆู…
1552
+
1553
+ 389
1554
+ 00:31:29,140 --> 00:31:33,840
1555
+ ุฃูˆ whatever ุฅุฐุง ููŠ ุนู†ุฏู‡ ุฅูŠุดุŸ Alkyl Halides ูˆููŠ
1556
+
1557
+ 390
1558
+ 00:31:33,840 --> 00:31:39,160
1559
+ ุนู†ุฏู‡ Aryl Halides ุงู„ Alkyl Halides ุจูŠุงุฎุฏูˆุง ุงู„ุงุณู…
1560
+
1561
+ 391
1562
+ 00:31:39,160 --> 00:31:46,260
1563
+ ุงู„ุนุงู… ุฅูŠุดุŸ RCL ุงู„ Alkyl .. ุงู„ Aryl Halides ARCL
1564
+
1565
+ 392
1566
+ 00:31:46,260 --> 00:31:50,200
1567
+ ุงู„ู„ูŠ ู‡ู… ุฏูˆู„ุฉ ุชุนูˆู†ูŠ ุงู„ุจู†ุฒูŠู† ุงู„ูŠูˆู… ู…ูˆุถูˆุน ุงู„ุฏุฑุณ ุชุจุนู†ุง
1568
+
1569
+ 393
1570
+ 00:31:51,400 --> 00:31:55,240
1571
+ ุงู„ูƒู„ ู‡ูŠู„ุงูŠุชุฒ ุงู„ุงุฑู„ ู‡ูŠู„ุงูŠุชุฒ ู…ุฎุชู„ููŠู† ุจุงู„ุฎูˆุงุต
1572
+
1573
+ 394
1574
+ 00:31:55,240 --> 00:31:59,380
1575
+ ูˆุงู„ุชูุงุนู„ุงุช ูŠุนู†ูŠ ู‡ุฏูˆู„ุฉ ูŠุนุชุจุฑูˆุง ู‚ุตุฉ ูˆ ู‡ุฏูˆู„ ูŠุนุชุจุฑูˆุง
1576
+
1577
+ 395
1578
+ 00:31:59,380 --> 00:32:03,980
1579
+ ู‚ุตุฉ ุชุงู†ูŠุฉ ุงู„ูŠูˆู… ุงู„ู…ูˆุถูˆุน ุชุจุนู†ุง ุงู„ูƒู„ ู‡ูŠู„ุงูŠุชุฒ ุงู„ุงุฑู„
1580
+
1581
+ 396
1582
+ 00:32:03,980 --> 00:32:08,560
1583
+ ู‡ูŠู„ุงูŠุชุฒ ู…ุฎุชู„ููŠู† ุจูƒู„ ุงู„ูƒู„ุงู… ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุชุณุนูŠู† ููŠ
1584
+
1585
+ 397
1586
+ 00:32:08,560 --> 00:32:11,260
1587
+ ุงู„ู…ูŠุฉ ุงูˆ ุงูƒุชุฑ ู…ู† ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจู†ุง ู†ุญูƒูŠู‡ ูˆ ุงู„ุชูุงุนู„ุงุช
1588
+
1589
+ 398
1590
+ 00:32:11,260 --> 00:32:16,140
1591
+ ุงู„ู„ูŠ ุจู†ุง ู†ุญูƒูŠู‡ุง ุจุชุธุจุทุงู† ู…ุงุจุชู…ุดูŠุด ู‡ู†ุง ูˆุงุถุญ ูุฏุฑุณู†ุง
1592
+
1593
+ 399
1594
+ 00:32:16,140 --> 00:32:21,240
1595
+ ุจุงู„ุธุจุท ุงูŠุดุงู„ุงู„ูƒุงู„ู‡ูŠู„ุงูŠุชุฒ ู…ุด ุงู„ ุงู„ู‡ูŠู„ุงูŠุชุฒ
1596
+
1597
+ 400
1598
+ 00:32:21,240 --> 00:32:24,700
1599
+ ุงู„ุงู„ูƒุงู„ู‡ูŠู„ุงูŠุชุฒ
1600
+
1601
+ 401
1602
+ 00:32:24,700 --> 00:32:31,180
1603
+ ู‡ุฐู‡ ุจุชู‚ุณู… ุชุตู†ูŠูุง ุฅู„ู‰ ุนุฏุฉ ุฃู†ูˆุงุน ุฅุฐุง ูƒุงู†ุช ุงู„ู‡ุงู„ูˆุฌูŠู†
1604
+
1605
+ 402
1606
+ 00:32:31,180 --> 00:32:37,940
1607
+ ู…ุชุตู„ุฉ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉุจู†ู‚ูˆู„ ุนู†ุฏู‰ primary
1608
+
1609
+ 403
1610
+ 00:32:37,940 --> 00:32:42,140
1611
+ alkaline halide ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุฃูˆู„ ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุชุงู†ู‰
1612
+
1613
+ 404
1614
+ 00:32:42,140 --> 00:32:46,700
1615
+ ุฒู‰ ุงู„ู…ุฑูƒุจ ุงู„ุชุงู„ู ููŠู‡ู… ูƒู„ู‡ู… ุงู„ halogen ู…ุชุตู„ุฉ
1616
+
1617
+ 405
1618
+ 00:32:46,700 --> 00:32:51,860
1619
+ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉ ูˆ ุงู„ูƒุฑุจูˆู†ุฉ ุนุจุงุฑุฉ ุนู† CH2 ู‡ูŠ ููŠ ูƒู„
1620
+
1621
+ 406
1622
+ 00:32:51,860 --> 00:32:54,280
1623
+ ุงู„ุฃุญูˆุงู„ ุงู„ halogen ู…ุชุตู„ุฉ ุจูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉ ู„ูƒู†
1624
+
1625
+ 407
1626
+ 00:32:54,280 --> 00:32:59,720
1627
+ ุงู„ูƒุฑุจูˆู†ุฉ ุจุนุฏ ู‡ูŠูƒ ู…ุชุตู„ุฉ ุจูƒู… ูƒุฑุจูˆู† ูˆุงุญุฏุฉ ูŠุนู†ู‰ ู‡ู†ุง ุงู„
1628
+
1629
+ 408
1630
+ 00:32:59,720 --> 00:33:04,540
1631
+ halogen ุงู„ูƒุฑุจูˆู† ุชุจุนุชู‡ ู…ุชุตู„ุฉ ุจ bond ูˆุงุญุฏุฉ ุดุงูŠููŠู†
1632
+
1633
+ 409
1634
+ 00:33:04,540 --> 00:33:13,590
1635
+ ุงู„ู„ูˆู† ุฃุฎุถุฑู‡ุฐุง ุงู„ูƒุฑุจูˆู† ุชุนุชุจุฑ ุงู„ู‡ุงู„ูˆุฌูŠู†
1636
+
1637
+ 410
1638
+ 00:33:13,590 --> 00:33:15,870
1639
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1640
+
1641
+ 411
1642
+ 00:33:15,870 --> 00:33:17,790
1643
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1644
+
1645
+ 412
1646
+ 00:33:17,790 --> 00:33:17,790
1647
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1648
+
1649
+ 413
1650
+ 00:33:17,790 --> 00:33:17,850
1651
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†
1652
+
1653
+ 414
1654
+ 00:33:17,850 --> 00:33:21,350
1655
+ ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู† ุงู„ู‡ุงู„ูˆุฌูŠู†ุฃู‡ ุจุชูƒูˆู†
1656
+
1657
+ 415
1658
+ 00:33:21,350 --> 00:33:25,690
1659
+ ุงูŠุด ุงู„ alkyl halide ู†ูˆุนู‡ุŸ secondary alkyl halide
1660
+
1661
+ 416
1662
+ 00:33:25,690 --> 00:33:31,110
1663
+ ุทูŠุจ ูˆุฅุฐุง ุงู„ halogen ู…ุชุตู„ ุจูƒุฑุจูˆู†ุฉ ู…ุชุตู„ุฉ ุงู„ ุชู„ุช
1664
+
1665
+ 417
1666
+ 00:33:31,110 --> 00:33:35,670
1667
+ ูƒุฑุจูˆู†ุงุช ุดูˆ ุจูŠูƒูˆู† ุนู†ุฏูƒุŸ tertiary alkyl halides ุฅุฐุง
1668
+
1669
+ 418
1670
+ 00:33:35,670 --> 00:33:39,350
1671
+ ุงู„ alkyl halides ุญุณุจ ุงู„ูƒุฑุจูˆู†ุฉ ุงู„ู„ูŠ ุญุงู…ู„ุฉ ุงู„
1672
+
1673
+ 419
1674
+ 00:33:39,350 --> 00:33:43,980
1675
+ halogenุญุณุจ ุงู„ูƒุฑุจูˆู†ุฉ ุงู„ู„ูŠ ุญุงู…ู„ุฉ ุงู„ู‡ุงู„ูˆุฌูŠู† ู…ู…ูƒู† ู†ู‚ูˆู„
1676
+
1677
+ 420
1678
+ 00:33:43,980 --> 00:33:49,300
1679
+ ุนู†ู‡ู… primary ุฃูˆ secondary ุฃูˆ tertiary ูˆู‡ุฐุง ุงู„
1680
+
1681
+ 421
1682
+ 00:33:49,300 --> 00:33:53,000
1683
+ classification ุฃูˆ ุงู„ุชุตู†ูŠู ู‡ูŠู„ุฒู…ู†ุง ูƒุชูŠุฑ ุฃุซู†ุงุก ู…ุง
1684
+
1685
+ 422
1686
+ 00:33:53,000 --> 00:33:56,160
1687
+ ุจู†ุดุฑุญ ุชูุงุนู„ุงุช ุงู„alkyl halides ุจุชู„ุงู‚ูˆู„ู†ุง ุจู†ู‚ูˆู„ ุงู†
1688
+
1689
+ 423
1690
+ 00:33:56,160 --> 00:33:58,640
1691
+ this is a primary alkyl halide, this is a
1692
+
1693
+ 424
1694
+ 00:33:58,640 --> 00:34:01,920
1695
+ secondary alkyl halide, this is a tertiary alkyl
1696
+
1697
+ 425
1698
+ 00:34:01,920 --> 00:34:08,440
1699
+ halide and so on ููŠ ู…ูˆุถูˆุน ุงู„alkyl halide ุจูŠุฌูŠู†ุง
1700
+
1701
+ 426
1702
+ 00:34:08,440 --> 00:34:19,380
1703
+ ู†ู‚ุทุฉู„ูˆ ูŠุง ุชูˆุฑุฉ ุจุฏู†ุง ู†ุชุฐูƒุฑ ุงู„ู‚ุทุจูŠุฉ ุชุจุนุช ุงู„ R X ุทุจุนุง
1704
+
1705
+ 427
1706
+ 00:34:19,380 --> 00:34:25,560
1707
+ ุงู„ R ู…ุชุตู„ุฉ ุจุงู„ X ู…ู† ุฎู„ุงู„ ุฐุฑุฉ ูƒุฑุจูˆู† ุงู„ X ู‡ูŠ ุงู„
1708
+
1709
+ 428
1710
+ 00:34:25,560 --> 00:34:31,220
1711
+ halogen ู…ุชุตู„ุฉ ู…ู† ุฎู„ุงู„ ุฐุฑุฉ ูƒุฑุจูˆู† ุงุฐุง ุงู†ุง ู…ู…ูƒู† ูŠูƒูˆู†
1712
+
1713
+ 429
1714
+ 00:34:31,220 --> 00:34:34,900
1715
+ ุนู†ุฏูŠ ุงู„ูƒุฑุจูˆู† ุงู„ู…ุชุตู„ ุจุงู„ H ุฏูŠ ููŠ ุงู„ุงู„ูƒูŠู„ ู„ู…ุง ุจูŠุตูŠุฑ
1716
+
1717
+ 430
1718
+ 00:34:34,900 --> 00:34:40,330
1719
+ ุงู„ ุงู„ู‡ูŠู„ุงูŠุฏ ูŠุง ูƒุฑุจูˆู† ู…ุชุตู„ุฉุจูู„ูˆุฑูŠู†ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ
1720
+
1721
+ 431
1722
+ 00:34:40,330 --> 00:34:44,290
1723
+ ุจูƒู„ูˆุฑูŠู†ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ ุจุจุฑูˆู…ูŠู„ุŒ ูŠุง ูƒุงุฑุจูˆู† ู…ุชุตู„ุฉ
1724
+
1725
+ 432
1726
+ 00:34:44,290 --> 00:34:49,890
1727
+ ุจุงูŠูˆุฏูŠู„ ู„ูˆ ุฅุฌูŠุช ุดูˆูุช ุงู„ polarity ู„ู„ bondsุŒ ุจุดูƒู„
1728
+
1729
+ 433
1730
+ 00:34:49,890 --> 00:34:55,270
1731
+ ุนุงู… ุฃู‚ู„ polarity ุชู‚ุฑูŠุจุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒุงุฑุจูˆู†ุŒ ุงู„ูู„ูˆุฑูŠู†
1732
+
1733
+ 434
1734
+ 00:34:55,270 --> 00:35:00,230
1735
+ ุฃุนู„ู‰ polarity ุจุฃุฑุจุนุฉ ุฃูˆ ุฃุฑุจุนุฉ ูˆูƒุณุฑ ุตุบูŠุฑุŒ ูˆุงู„ูƒู„ูˆุฑ
1736
+
1737
+ 435
1738
+ 00:35:00,230 --> 00:35:03,230
1739
+ ุงู„ุชู„ุงุชุฉ ูˆุงู„ุจุฑูˆู…ูŠ ุงุชู†ูŠู† ูˆุงุชู…ุงู† ุนุดุฑ ุงู„ูŠูˆู… ุชู‚ุฑูŠุจุง ุฒูŠ
1740
+
1741
+ 436
1742
+ 00:35:03,230 --> 00:35:08,190
1743
+ ุงู„ูƒุงุฑุจูˆู†ุŒ ู†ูˆุนุง ู…ุงุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุฏุงุฆู…ุง ู„ู…ุง ุจุฏุฃ ุฃุฌุฏ
1744
+
1745
+ 437
1746
+ 00:35:08,190 --> 00:35:12,090
1747
+ ุฃุดูˆู ุงู„ carbon halogen bond ูˆูŠู† ุงู„ู„ูŠ ุจุฏู‡ ูŠูƒูˆู†
1748
+
1749
+ 438
1750
+ 00:35:12,090 --> 00:35:18,170
1751
+ ุงู„ุทุฑู ุงู„ุณุงู„ุจ ุงู„ halogen ูˆ ุงู„ุทุฑู ุงู„ู…ูˆุฌุจ ุงู„ carbon
1752
+
1753
+ 439
1754
+ 00:35:18,170 --> 00:35:25,330
1755
+ ูุงู„ุฑุงุจุท ุงู„ carbon halogen bond is a polar bond the
1756
+
1757
+ 440
1758
+ 00:35:25,330 --> 00:35:30,490
1759
+ positive end is the carbon end and the negative
1760
+
1761
+ 441
1762
+ 00:35:30,490 --> 00:35:34,350
1763
+ end is the halogen end ุฏุงุฆู…ุง ู„ู…ุง ุจุฏู†ุง ู†ุญุท
1764
+
1765
+ 442
1766
+ 00:35:45,790 --> 00:35:53,930
1767
+ ู‚ูˆุฉ ุงู„ุฑูˆุงุจุท ูƒุงุฑุจูˆู† ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏ 413 ูƒุฌูˆู„ ู„ูƒู„ ู…ูˆู„
1768
+
1769
+ 443
1770
+ 00:35:55,050 --> 00:36:02,950
1771
+ ุงู„ูƒุงุฑุจูˆู† ูู„ูˆุฑ 467 strong ุงู„ูƒุงุฑุจูˆู† ูƒู„ูˆุฑ 346 ุจุฏุฃุช
1772
+
1773
+ 444
1774
+ 00:36:02,950 --> 00:36:09,850
1775
+ ุฃุดู‡ุฑ ุตูŠุฑ ุงู„ุฑุงุจุทุฉ ุชุจุนู‡ ุงู„ูƒุงุฑุจูˆู† ุจุฑูˆู… 290 ุงู„ูƒุงุฑุจูˆู†
1776
+
1777
+ 445
1778
+ 00:36:09,850 --> 00:36:13,810
1779
+ ูŠูˆุช ุชู‚ุฑูŠุจุง non polar ู„ุญุธู‡ ู„ุฃู† ุงู„ electronegativity
1780
+
1781
+ 446
1782
+ 00:36:13,810 --> 00:36:20,610
1783
+ ู†ูˆุนุง ู…ุง ู†ูุณ ุงู„ุฃุดูŠุงุก 228 ุฅุฐู† ุฃู†ูŠุฉ ุฃุถุนู ุฑุงุจุทุฉ
1784
+
1785
+ 447
1786
+ 00:36:20,610 --> 00:36:28,150
1787
+ ุงู„ูƒุงุฑุจูˆู† ู…ุน ุงู„ูŠูˆุชุฃุถุนู ุฑุงุจุทุฉ ูŠุนู†ูŠ ุจุชู†ูƒุณุฑ ุจุณู‡ูˆู„ุฉุŒ
1788
+
1789
+ 448
1790
+ 00:36:28,150 --> 00:36:33,830
1791
+ ุฃุถุนู ุฑุงุจุทุฉ ูŠุนู†ูŠ ุจุชู†ูƒุณุฑ ุจุณู‡ูˆู„ุฉุŒ ุนุดุงู† ู‡ูŠูƒ ุงู„ู…ุฑูƒุจุงุช
1792
+
1793
+ 449
1794
+ 00:36:33,830 --> 00:36:39,670
1795
+ ุงู„ู„ูŠ ููŠู‡ุง ูŠูˆุฏ ู…ู…ูƒู† ุงู„ูŠูˆุฏ ุจุงู„ุญุฑุงุฑุฉ ุงู„ุนุงุฏูŠุฉ ุฃูˆ ุจุทูˆุก
1796
+
1797
+ 450
1798
+ 00:36:39,670 --> 00:36:43,970
1799
+ ุงู„ุดู…ุณ ุงู„ุนุงุฏู‰ ูŠูƒุณุฑ ุนู† ุงู„ู…ุฑูƒุจุŒ ู‡ุฐู‡ ุฑุงุจุทุฉ ุถุนูŠูุฉุŒ
1800
+
1801
+ 451
1802
+ 00:36:43,970 --> 00:36:50,550
1803
+ ุฑุงุจุทุฉ ุงู„ carbon ู…ุน ุงู„ูŠูˆุฏ ู‡ูŠ ุฑุงุจุทุฉุถุนูŠูุฉ ู…ู…ูƒู† ุทุจุนุง
1804
+
1805
+ 452
1806
+ 00:36:50,550 --> 00:36:55,230
1807
+ ุงุญู†ุง ู†ูุณุฑ ุถุนู ุงู„ุฑุงุจุทุฉ ู…ู…ูƒู† ู†ูุณุฑ ุถุนู ุงู„ุฑุงุจุทุฉ ุชู†ุณูˆุด
1808
+
1809
+ 453
1810
+ 00:36:55,230 --> 00:36:58,570
1811
+ ุงู†ู‡ ุงู„ carbon ููŠ ุฃูˆู„ ุงู„ุฌุฏูˆู„ ุงู„ุฏูˆุฑูŠ ุงู„ carbon ููŠ
1812
+
1813
+ 454
1814
+ 00:36:58,570 --> 00:37:03,650
1815
+ ุฃูˆู„ ุงู„ุฌุฏูˆู„ ุงู„ุฏูˆุฑูŠ ุฐุฑุฉ ุฅูŠู‡ ุดู…ุงู„ู‡ุง ุตุบูŠุฑุฉ ุฐุฑุฉ ุตุบูŠุฑุฉ
1816
+
1817
+ 455
1818
+ 00:37:03,650 --> 00:37:09,830
1819
+ ุงู„ูŠูˆุช ุชุญุช ุฐุฑุฉ ูƒุจูŠุฑุฉ ุงู„ุขู† ุจุดูƒู„ ุนุงู… ุงุญู†ุง ุจู†ู‚ูˆู„ ููŠ
1820
+
1821
+ 456
1822
+ 00:37:09,830 --> 00:37:13,960
1823
+ ุงู„ูƒูŠู…ูŠุง ููŠ ุนู†ุฏู†ุง ู‚ุงุนุฏุฉุจุชู‚ูˆู„ ุงู„ hard ุฏุงูŠู…ุง ุชุจูŠุฌูŠ ู…ุน
1824
+
1825
+ 457
1826
+ 00:37:13,960 --> 00:37:18,440
1827
+ ุงู„ hardุŒ ุงู„ูƒุจูŠุฑ ู…ุน ุงู„ูƒุจูŠุฑุŒ ูˆุงู„ุตุบูŠุฑ ู…ุน ุงู„ุตุบูŠุฑุŒ ู‡ุฐู‡
1828
+
1829
+ 458
1830
+ 00:37:18,440 --> 00:37:23,540
1831
+ ุงู„ู‚ุงุนุฏุฉ ู…ุด ุจุณ ูƒูŠู…ูŠุงุฆูŠุฉุŒ ู‡ูŠ ู‚ุงุนุฏุฉ ุฅู†ุณุงู†ูŠุฉุŒ ูŠุนู†ูŠ ู„ูˆ
1832
+
1833
+ 459
1834
+ 00:37:23,540 --> 00:37:27,240
1835
+ ูˆุงุญุฏุฉ ู…ู†ูƒูˆุง ููŠ ุงู„ู…ุณุชู‚ุจู„ ุฑุงุญุช ุชุฒูˆุฑ ุตุงุญุจุชู‡ุง ุจุนุฏ ุฎู…ุณ
1836
+
1837
+ 460
1838
+ 00:37:27,240 --> 00:37:30,720
1839
+ ุณู†ูŠู†ุŒ ู…ุง ุดุงุก ุงู„ู„ู‡ ุนู†ุฏู‡ุง ุทูู„ูŠู†ุŒ ูˆู‡ุฐู‡ ุนู†ุฏู‡ุง ุทูู„ูŠู†ุŒ
1840
+
1841
+ 461
1842
+ 00:37:30,720 --> 00:37:34,780
1843
+ ูˆู‚ุนุฏูˆุง ููŠ ุงู„ุญุฏูŠู‚ุฉ ุชุญุช ุงู„ู…ู†ุฒู„ุŒ ุฅูŠุด ุงู„ูˆุถุน ุงู„ุทุจูŠุนูŠุŸ
1844
+
1845
+ 462
1846
+ 00:37:35,950 --> 00:37:39,010
1847
+ ุฅู†ู‡ ุงู„ุฅู…ูŠุงุช ุงู„ุชูŠู† ุชูŠู† ู…ุน ุจุนุถ ูˆ ุจูŠุญูƒูˆุง ูˆ ุงู† ุดุงุก
1848
+
1849
+ 463
1850
+ 00:37:39,010 --> 00:37:42,650
1851
+ ุงู„ู„ู‡ ู…ุงูŠุญูƒูˆุด ุฅู„ุง ุฎูŠุฑ ูˆ ุงู„ุฃูˆู„ุงุฏ ุงู„ุตุบุงุฑ ู…ุน ุจุนุถ ูˆ
1852
+
1853
+ 464
1854
+ 00:37:42,650 --> 00:37:45,950
1855
+ ุจูŠุชู…ุดูƒู„ูˆุง ูˆ ุงู† ุดุงุก ุงู„ู„ู‡ ู…ุงูŠุนู…ู„ูˆุด ู…ุดุงูƒู„ ุงู„ูƒุจูŠุฑ ู…ุน
1856
+
1857
+ 465
1858
+ 00:37:45,950 --> 00:37:50,810
1859
+ ุงู„ูƒุจูŠุฑ ูˆ ุงู„ุตุบูŠุฑ ู…ุน ุงู„ุตุบูŠุฑ ู‡ุฐุง ูˆุถุน ุทุจูŠุนูŠ ููŠ ุงู„ุฏู†ูŠุง
1860
+
1861
+ 466
1862
+ 00:37:50,810 --> 00:37:55,330
1863
+ ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ู„ูˆ ุฃู†ุชูˆุง ู„ุงุญุธุชู… ู…ุซู„ุง ุฑุฌุงู„ ุนู…ุฑู‡ ุฎู…ุณุฉ ูˆ
1864
+
1865
+ 467
1866
+ 00:37:55,330 --> 00:38:01,670
1867
+ ุฎู…ุณูŠู† ุณุชูŠู† ุณู†ุฉ ูˆ ู…ุตุงุญุจ ูˆู„ุฏ ุตุบูŠุฑู…ุงุญุฏุด ุจูŠู‚ุจู„ู‡ุงุŒ ูŠุนู†ูŠ
1868
+
1869
+ 468
1870
+ 00:38:01,670 --> 00:38:06,190
1871
+ ู…ุงููŠุด ู…ู†ุทู‚ุŒ ู„ุงุฒู… ูŠูƒูˆู† ู†ูˆุน ู…ู† ุฅูŠุดุŸ ู†ูˆุน ู…ู† ุงู„ุชูƒุงูุคุŒ
1872
+
1873
+ 469
1874
+ 00:38:06,190 --> 00:38:09,730
1875
+ ุญุชู‰ ุงู„ุชูƒุงูุค ู…ุด ุจุณ ุจุงู„ุตุญุจุฉุŒ ุงู„ูŠูˆู… ุตุงุฑูˆุง ูŠุฎู„ูˆู‡
1876
+
1877
+ 470
1878
+ 00:38:09,730 --> 00:38:14,170
1879
+ ุจุงู„ุฌูŠุฒุฉุŒ ุจุฏูŠ ูŠูƒูˆู† ุงู„ุณู† ู…ุชู‚ุงุฑุจุŒ ุงู„ุนู‚ู„ ู…ุชู‚ุงุฑุจุŒ
1880
+
1881
+ 471
1882
+ 00:38:14,170 --> 00:38:17,330
1883
+ ุงู„ุญุงู„ุฉ ุงู„ุงุฌุชู…ุงุนูŠุฉ ู…ุชู‚ุงุฑุจุฉุŒ ู„ูˆ ุงุฎุชู„ูุช ุงู„ุญุงู„ุฉ
1884
+
1885
+ 472
1886
+ 00:38:17,330 --> 00:38:23,740
1887
+ ุงู„ุงุฌุชู…ุงุนูŠุฉุŒ 90% ุงู„ุฃู…ูˆุฑ ุฅุดู…ุงู„ู‡ุงุŒ ู…ุงุจุชู…ุดูŠุดุญุชู‰ ุงู„ู†ุงุณุฉ
1888
+
1889
+ 473
1890
+ 00:38:23,740 --> 00:38:28,540
1891
+ ุจูŠูƒูˆู† ุฅูŠุดุŸ ู…ุชู‚ุงุฑุจุฉ ูŠุนู†ูŠุŒ ูƒู„ ู†ุงุณ ุจูŠุฑูˆุญ ุนู„ู‰ ุงู„ุตูŠู†ู
1892
+
1893
+ 474
1894
+ 00:38:28,540 --> 00:38:32,300
1895
+ ุงู„ู„ูŠ ุฒูŠู‡ู…ุŒ ุจูŠุฑูˆุญ ุนู„ู‰ ุงู„ุงุดูŠ ุงู„ู„ูŠ ุฒูŠู‡ุŒ ูˆุงุถุญุŸ ูุงู„ู‚ุงู„ุฉ
1896
+
1897
+ 475
1898
+ 00:38:32,300 --> 00:38:38,180
1899
+ ู…ุง ุจุญูƒูŠ ุนู† carbon ุตุบูŠุฑุŒ ู‚ูŠูˆุฏ ูƒุจูŠุฑุฉุŒ ู‡ุฐุง ุงุฑุชุจุงุทุบูŠุฑ
1900
+
1901
+ 476
1902
+ 00:38:38,180 --> 00:38:42,380
1903
+ ุณู„ูŠู… ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ูˆ ุงุฑุชุจุงุท ุฅูŠุด ุถุนูŠู ูˆุนุดุงู†ูƒ ู„ูˆ
1904
+
1905
+ 477
1906
+ 00:38:42,380 --> 00:38:46,940
1907
+ ุนู†ุฏูƒูˆุง ุฏูˆุฉ ููŠ ูŠูˆุฏ ุจุชู„ุงุญุธูˆุง ุงู†ู‡ ููŠ ุงู„ุตูŠุฏู„ูŠุฉ ุจูŠูƒูˆู†
1908
+
1909
+ 478
1910
+ 00:38:46,940 --> 00:38:51,820
1911
+ ู…ุญุทูˆุท ููŠ ุนุจูˆุฉ ุจู†ูŠุฉ ุนุดุงู† ุชุญู…ูŠู‡ ู…ู† ุถูˆุก ุงู„ุดู…ุณ
1912
+
1913
+ 479
1914
+ 00:38:51,820 --> 00:38:57,400
1915
+ ูˆุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุงู„ุตูŠุฏู„ ูŠุถุจู‡ ุจุฎุฒุงู†ุฉ ุฃูˆ ุจู…ูƒุงู† ุจุงุฑุฏ
1916
+
1917
+ 480
1918
+ 00:38:57,400 --> 00:39:00,160
1919
+ ุจุนูŠุฏ ุนู† ุงู„ุถูˆุก ู„ุงู†ู‡ ู‡ุฐุง ุงู„ู…ุฑุงูƒุฒ ุงู„ู„ูŠ ุจูŠุญุทู‡ ููŠ ุถูˆุก
1920
+
1921
+ 481
1922
+ 00:39:00,160 --> 00:39:04,430
1923
+ ุงู„ุดู…ุณ ุจูŠูู„ุท ุงู„ูŠูˆุฏ ู…ู†ู‡ ุจูŠุฎุฑุจ ุงู„ุฏูˆุฉู…ู„ุงุญุธูŠู† ุงู†ุชูˆุงุŸ
1924
+
1925
+ 482
1926
+ 00:39:04,430 --> 00:39:07,550
1927
+ ูŠู…ูƒู† ุจุชู„ุงุญุธูˆุง ู‡ุฐู‡ ุงู„ุดุบู„ู‡ ูุงู„ุงุฑุชุจุงุท ู…ุน ุงู„ูŠูˆุฏ ู‡ูˆ
1928
+
1929
+ 483
1930
+ 00:39:07,550 --> 00:39:12,530
1931
+ ุฃุถุนู ุงุฑุชุจุงุท ุงู„ุขู† ู‡ุฐุง ุงู„ูƒู„ุงู… ุจูŠููŠุฏู†ูŠ ุงู†ู‡ ุงู†ุง ุจุนุฏ
1932
+
1933
+ 484
1934
+ 00:39:12,530 --> 00:39:17,150
1935
+ ุดูˆูŠุฉ ู„ู…ุง ุจุฏุฃ ุงุนู…ู„ ุชูุงุนู„ุงุช ุงุจุฏุงู„ ุงุณู‡ู„ ุงูŠุด ุงุทู„ุน ูˆ
1936
+
1937
+ 485
1938
+ 00:39:17,150 --> 00:39:22,970
1939
+ ุจุนุฏู‡ ุงู„ุจุฑูˆู… ุงู„ floor ู…ุด ู‡ู†ุงุฎุฏ ุนู†ู‡ ุงู…ุซู„ุฉ ุจุงู„ู…ุฑุฉ
1940
+
1941
+ 486
1942
+ 00:39:22,970 --> 00:39:27,850
1943
+ ุจุชุทู„ุนุด ุจุณู‡ูˆู„ุฉูŠุนู†ูŠ ู‡ู†ุงุฎุฏ ุงุญู†ุง ุชูุงุนู„ุงุช ุฅุจุฏุงู„ุŒ ุจุฏู†ุง
1944
+
1945
+ 487
1946
+ 00:39:27,850 --> 00:39:33,490
1947
+ ู†ุจุถ ุงู„ุฒุฑุงุฑุŒ ู‡ุชู„ุงุญุธูˆุง ู…ุนุธู… ุฃู…ุซู„ุงุชู†ุง ูŠูˆุช ุฃูˆ ุจุฑูˆู… ุฃูˆ
1948
+
1949
+ 488
1950
+ 00:39:33,490 --> 00:39:36,430
1951
+ ุงู†ุทู„ุนุช ุงู„ูƒู„ูˆุฑุŒ ุจุณ ูˆู„ุง ู…ุซุงู„ ู‡ู†ุงุฎุฏู‡ ุนู† ุงู„ floor
1952
+
1953
+ 489
1954
+ 00:39:36,430 --> 00:39:43,010
1955
+ ู„ุฃู†ูˆุง ุงู„ ุฑุงุจุทุฉ ุจุชุงุนุฉ ุงู„ floor ู‡ูŠ ุฑุงุจุทุฉ ู‚ูˆูŠุฉ ู ุงู„
1956
+
1957
+ 490
1958
+ 00:39:43,010 --> 00:39:48,290
1959
+ rate of reactionุŒ ุณุฑุนุฉ ุงู„ุชูุงุนู„ุงุชุŒ ุณุฑุนุฉ ุงู„ุชูุงุนู„ุงุชุŒ
1960
+
1961
+ 491
1962
+ 00:39:48,290 --> 00:39:54,900
1963
+ ุจูŠู‚ูˆู„ ููŠู‡ุง ุงู„ุฃูƒุชุฑ ู…ู† ุงู„ RBR ุฃูƒุชุฑ ู…ู† ุงู„ RCL ู„ูŠุด ุงู„
1964
+
1965
+ 492
1966
+ 00:39:54,900 --> 00:40:00,960
1967
+ RI ุฃุณุฑุน ููŠ ุงู„ุชูุงุนู„ ู„ุฃู† ุฑุงุจุทุชู‡ ุฃุถุนู ู„ุฃู† ุฑุงุจุทุชู‡ ุฃุถุนู
1968
+
1969
+ 493
1970
+ 00:40:00,960 --> 00:40:06,440
1971
+ ููŠ ุนู†ุฏูŠ ูุฑู‚ ููŠ ุงู„ size ู‡ู…ู„ุงุญุธูŠู† ู‡ู†ุง ูƒูŠู ุงู„ูุฑู‚ ููŠ
1972
+
1973
+ 494
1974
+ 00:40:06,440 --> 00:40:11,280
1975
+ ุงู„ size ูุฑู‚ ููŠ ุงู„ size ูˆ ุทุงู„ู…ุง ุนู†ุฏูŠ ูุฑู‚ ูƒุจูŠุฑ ููŠ ุงู„
1976
+
1977
+ 495
1978
+ 00:40:11,280 --> 00:40:18,880
1979
+ size ู…ุนู†ู‰ ุฐู„ูƒ ุงู„ุฅุฑุชุจุงุท ุบูŠุฑ ุณู„ูŠู… ูˆ ุบูŠุฑ ..ุจู†ุฌู ู„ู‡ุฐู‡
1980
+
1981
+ 496
1982
+ 00:40:18,880 --> 00:40:24,480
1983
+ ุงู„ู†ู‚ุทุฉ ุงู„ูŠูˆู… ููŠ ุงู„ู…ู‚ุฏู…ุฉ ู„ู€ Alkalin Calcium
1984
+
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/1Coj33khK7w_raw.srt ADDED
@@ -0,0 +1,2068 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:08,920 --> 00:00:14,050
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…ุงู„ุฌุฒุก ุงู„ุฃุฎูŠุฑ ู…ู† ู…ุดุชู‚ุงุช
4
+
5
+ 2
6
+ 00:00:14,050 --> 00:00:19,090
7
+ ุงู„ุฃุญู…ุงุถ ุงู„ู„ูŠ ุจุฏูˆุง ูŠู…ุฑ ุนู„ูŠู†ุง ุงู„ูŠูˆู… ู‡ูˆ ุงู„ุงู…ุฏุฒ ูˆุงุถุญุŸ
8
+
9
+ 3
10
+ 00:00:19,090 --> 00:00:23,890
11
+ ุงู„ุขู† ุฅุฐุง ุจุฏู†ุง ู†ุดูˆู ุดูˆ ู‡ู…ุง ุงู„ุงู…ุฏุฒ ูƒู…ุฌู…ูˆุนุฉ ูˆุธูŠููŠุฉ
12
+
13
+ 4
14
+ 00:00:23,890 --> 00:00:29,370
15
+ ู„ู…ุง ุจู†ุชู‚ู‰ ุนู†ุฏู‡ ุณูŠุถุฉ ุจุงู„ุจู†ุฏ O ูˆุฌู†ุจู‡ุง N ุณูŠุถุฉ ุจุงู„ุจู†ุฏ
16
+
17
+ 5
18
+ 00:00:29,370 --> 00:00:36,710
19
+ O N ู‡ุฐู‡ ุงู„ู„ูŠ ุจุชู…ุซู„ ู…ุฌู…ูˆุนุฉ ุงู„ุงู…ุฏุฒ ูˆุงุถุญุŸ ู„ูˆ ุจุฏู†ุง
20
+
21
+ 6
22
+ 00:00:36,710 --> 00:00:43,410
23
+ ู†ุณู…ูŠ ุงู„ุงู…ุฏุฒ ุจู†ุฑุฌุน ู„ุงู„ุงุตู„ ุงู„ู„ู‰ ุฌุงู‰ ู…ู†ู‡ ุงู„ amides
24
+
25
+ 7
26
+ 00:00:43,410 --> 00:00:46,990
27
+ ุงู„ู„ู‰ ุจู†ูุชุฑุถ ุงู†ู‡ ุงู„ acid ู„ุฃู† ู‡ูˆ ู…ุดุชู‚ุฉ ู…ู† ู…ุดุชู‚ุงุช
28
+
29
+ 8
30
+ 00:00:46,990 --> 00:00:51,990
31
+ ุงู„ุญุงู…ุถ ู…ุซู„ุง ู‡ู†ุง ุนู†ุฏูŠ ูƒุฑุจูˆู†ุฉ ุชู†ุชูŠู† ุชู„ุงุชุฉ ุดูˆ ุจูŠูƒูˆู†
32
+
33
+ 9
34
+ 00:00:51,990 --> 00:00:57,870
35
+ ุงุณู… ุงู„ุญุงู…ุถ ุจุฑูˆุจุงู†ูˆูŠูƒ ุฃุณุฏ ุจุดูŠู„ ุงูˆูŠูƒ ุฃุณุฏ ูˆุจูƒุชุจ
36
+
37
+ 10
38
+ 00:00:57,870 --> 00:01:05,590
39
+ ุจุฑูˆุจุงู† ุงู…ุฏ ุงุฐุง ูƒุงู† ุงู„ acid ุจุฑูˆุจุงู† ุงูˆูŠูƒ ุฃุณุฏ ุดูŠู„ุช ูƒู„
40
+
41
+ 11
42
+ 00:01:05,590 --> 00:01:10,390
43
+ ุงูˆูŠูƒ ุฃุณุฏ ุจุฑูˆุจุงู† ุงู…ุฏ ู…ุซู„ุง ู‡ุฐุง ุงู„ amide ุฌุงู‰ ู…ู†
44
+
45
+ 12
46
+ 00:01:11,430 --> 00:01:20,550
47
+ ุงู„ุจู†ุฒูˆูŠูƒ ุฃุณุฏ ูุจุตูŠุฑ ุงุณู…ู‡ ุจู†ุฒ ุฃู…ุฏ ูˆ ู‡ูƒุฐุง ุทุจุนุง
48
+
49
+ 13
50
+ 00:01:20,550 --> 00:01:29,450
51
+ ุจุชู„ุงุญุธูˆุง ุงู†ุชูˆุง ุงู† ุงู„ุงู…ุฏ ููŠู‡ุง CWO ูˆ ููŠู‡ุง Mูˆุงู„ู€
52
+
53
+ 14
54
+ 00:01:29,450 --> 00:01:33,770
55
+ Oxygen ูˆ ุงู„ู€ Nitrogen ุทุจุนุง ุจุงู„ุงุถุงูุฉ ู„ู„ู€ Fluor ู‡ู…
56
+
57
+ 15
58
+ 00:01:33,770 --> 00:01:38,070
59
+ ุงู„ุชู„ุช ุนู†ุงุตุฑ ุงู„ู„ูŠ ู…ุนุฑูˆู ุงู†ู‡ู… ุจูŠุนู…ู„ูˆุง ุงู„ู€ hydrogen
60
+
61
+ 16
62
+ 00:01:38,070 --> 00:01:43,670
63
+ bonding ูˆุงุถุญุŸ ูุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุฌุฒูŠุฆุงุช ุงู„ุฃู…ุฏ ุจูŠู†ู‡ุง ูˆ
64
+
65
+ 17
66
+ 00:01:43,670 --> 00:01:47,410
67
+ ุจูŠู† ู†ูุณู‡ุง ู…ู…ูƒู† ุชูƒูˆู† ุนุงู…ู„ุฉ hydrogen bonding ุณูˆุงุก
68
+
69
+ 18
70
+ 00:01:47,410 --> 00:01:51,610
71
+ ูƒุงู† one hydrogen bond ูŠุนู†ูŠ ุงู„ู€ู…ุน ุงู„ู€ O ุชุนู…ู„
72
+
73
+ 19
74
+ 00:01:51,610 --> 00:01:55,390
75
+ hydrogen bonding ุฃูˆ ุจุชุฑุชูŠุจ ู…ุนูŠู† ู…ู…ูƒู† ูŠูƒูˆู† ุจูŠู†
76
+
77
+ 20
78
+ 00:01:55,390 --> 00:01:59,110
79
+ ุงู„ุฌุฒูŠุฆูŠู† two hydrogen bonds ูŠุนู†ูŠ ุฒูŠ ู…ุง ุงุชุฎูŠู„ ุฒูŠ
80
+
81
+ 21
82
+ 00:01:59,110 --> 00:02:01,910
83
+ ู‡ูŠูƒ ู‡ุงูŠ ุญุงู„ุฉ ููŠ ุนู†ุฏูŠ ู†ูŠุชุฑูˆุฌูŠู† ูˆ ุฃูƒุณูˆุฌูŠู† ูˆ ู†ูŠุชุฑูˆุฌูŠู†
84
+
85
+ 22
86
+ 00:02:01,910 --> 00:02:05,510
87
+ ูˆ ุฃูƒุณูˆุฌูŠู† ู…ู…ูƒู† ูŠุตูŠุฑ ุงุชุญุงุฏ ุจุณ ุจู‡ุฐุง ุงู„ุดูƒู„ ูˆ ู…ู…ูƒู†
88
+
89
+ 23
90
+ 00:02:05,510 --> 00:02:11,350
91
+ ูŠุตูŠุฑ ุงุชุญุงุฏ ูƒู„ ุฃูƒุณูˆุฌูŠู† ู…ุน ู†ูŠุชุฑูˆุฌูŠู† ู„ูƒู† ุงู„ุฅู…ูƒุงู†ูŠุฉ ู„ู„
92
+
93
+ 24
94
+ 00:02:11,350 --> 00:02:16,010
95
+ hydrogen bond ู‚ุงุฆู…ุฉ ูˆ ุฃุณุงุณูŠุฉ ููŠ ุงู„ amidesู‡ุฐุง
96
+
97
+ 25
98
+ 00:02:16,010 --> 00:02:20,890
99
+ ุงู„ูƒู„ุงู… ุจูŠู†ุนูƒุณ ุนู„ู‰ ุดุบู„ุฉ ุจูŠู†ุนูƒุณ ุนู„ู‰ ุดุบู„ุฉ ุงู† ุทุงู„ู…ุง
100
+
101
+ 26
102
+ 00:02:20,890 --> 00:02:25,350
103
+ ุงู„ุงู…ุฏ ู…ุน ู†ูุณู‡ุง ุจุชุนู…ู„ hydrogen bonding ุงุฐุง ุจู†ุชูˆู‚ุน
104
+
105
+ 27
106
+ 00:02:25,350 --> 00:02:29,690
107
+ ุดูˆ ุจูŠุตูŠุฑ ููŠ ุงู„ boiling point ู†ู‚ุงุท ุบู„ูŠุงู†ู‡ุง ู…ุฑุชูุนุฉ
108
+
109
+ 28
110
+ 00:02:29,690 --> 00:02:34,990
111
+ ุทุจุนุง ู‡ู†ุง ู„ู…ุง ุจุชูŠุฌูˆุง ุจุชุชุทู„ุนูˆุง ุนู„ู‰ ุงูŠ ุงู…ุฏ ู…ุญุฏุฏ ุญู‚ูŠู‚ุฉ
112
+
113
+ 29
114
+ 00:02:34,990 --> 00:02:40,440
115
+ ุงู„ุงู…ุฏ ููŠ Nุฃุญู†ุง ู‚ู„ู†ุง ุจุณ ุงู† ุจูŠุตูŠุฑ ุงู…ุฏ ู„ูƒู† ู‡ุฐู‡ ุงู„ุงู†
116
+
117
+ 30
118
+ 00:02:40,440 --> 00:02:44,520
119
+ ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ูŠู‡ุง two hydrogens ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ูŠู‡ุง
120
+
121
+ 31
122
+ 00:02:44,520 --> 00:02:49,660
123
+ hydrogen ูˆุงุญุฏุฉ ูˆ R group ูˆ ู…ู…ูƒู† ูŠูƒูˆู† ุนู„ูŠู‡ุง two R
124
+
125
+ 32
126
+ 00:02:49,660 --> 00:02:54,720
127
+ groups ูˆุงุถุญุŸ ูŠุนู†ูŠ ู…ุด ู„ุงุฒู… ุฏุงุฆู…ุง ุงู„ nitrogen ู‡ุฐู‡
128
+
129
+ 33
130
+ 00:02:54,720 --> 00:03:02,440
131
+ ุชูƒูˆู† NH2 ู…ู…ูƒู† ุชูƒูˆู† ู‡ุฐู‡ NH2 ู…ู…ูƒู† ุชูƒูˆู† NHR ูˆ ู…ู…ูƒู†
132
+
133
+ 34
134
+ 00:03:02,440 --> 00:03:03,460
135
+ ุชูƒูˆู† NR
136
+
137
+ 35
138
+ 00:03:06,380 --> 00:03:10,120
139
+ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒุŒ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒุŒ ูƒุฃู†ู‡ ููŠ ุนู†ุฏูŠ
140
+
141
+ 36
142
+ 00:03:10,120 --> 00:03:14,880
143
+ substituted amides ูˆุนู†ุฏูŠ unsubstituted amides ูŠุนู†ูŠ
144
+
145
+ 37
146
+ 00:03:14,880 --> 00:03:20,200
147
+ ู‡ุฐุง ุงู„ุงู…ุฏ ุงู„ู„ูŠ ู…ู† ูƒุฑุจูˆู†ุฉ ูˆุงุญุฏุฉ ุฌุงูŠ ู…ู† ุฃูŠ ุญุงู…ุถ ู…ู†
148
+
149
+ 38
150
+ 00:03:20,200 --> 00:03:25,040
151
+ ุงู„ formic ุฃูˆ ุงู„ methanoic acid ูุจู†ุณู…ูŠู‡ form ุงู…ุฏ
152
+
153
+ 39
154
+ 00:03:25,040 --> 00:03:29,900
155
+ ุทูŠุจุŒ ุงู„ุขู† ู„ูˆ ุงุนู…ู„ุช ุฅุจุฏุงู„ ู„ู„ two hydrogens ุงู„ู„ูŠ
156
+
157
+ 40
158
+ 00:03:29,900 --> 00:03:36,410
159
+ ุชุนูˆู† ุงู„ nitrogen ู‡ู†ุง ุงู„ two ู…ุซู„ groupsุจูŠุตูŠุฑ ุงูŠุด
160
+
161
+ 41
162
+ 00:03:36,410 --> 00:03:40,630
163
+ ุงุณู…ู‡ุŸ Dimethylformamide
164
+
165
+ 42
166
+ 00:03:40,630 --> 00:03:45,750
167
+ ุทุจุนุง ู…ุฑุงุช ุจูŠุฑูˆุญูˆุง ุจูŠุญุทูˆุง ุฃู† ูˆ ุฃู† ู„ุฅูŠุถุงุญ ุจุฅู† ุงู„ู…ูŠุซู„
168
+
169
+ 43
170
+ 00:03:45,750 --> 00:03:50,370
171
+ ู‡ุฐูŠ ูˆ ุงู„ู…ูŠุซู„ ู‡ุฐูŠ ู…ุชุตู„ุงุช ุจุงู„ู†ูŠุชุฑูˆุฌูŠู† ูู…ู…ูƒู† ุชู„ุงู‚ูˆุง
172
+
173
+ 44
174
+ 00:03:50,370 --> 00:03:56,670
175
+ ู‡ุฐุง ุงู„ู…ุฑูƒุจ ุจุงุณู… N-N-Dimethylformamide ู…ู…ูƒู† ุชู„ุงู‚ูˆุง
176
+
177
+ 45
178
+ 00:03:56,670 --> 00:04:02,200
179
+ ุจุงุณู… Dimethylformamide ูˆ ูŠูƒูˆู†ูˆุง ๏ฟฝ๏ฟฝุฎุชุตุฑูŠู†ุงู„ุงู† ุงู†
180
+
181
+ 46
182
+ 00:04:02,200 --> 00:04:06,440
183
+ ูˆุบุงู„ุจุง ู‡ุฐุง ุงู„ solvent ูˆูŠู„ูˆ ุชุทุจูŠู‚ุงุช ูƒุชูŠุฑ ูˆุงุณุชุนู…ุงู„ุงุช
184
+
185
+ 47
186
+ 00:04:06,440 --> 00:04:09,360
187
+ ูƒุชูŠุฑ ููŠ ุงู„ organ ุงู„ chemistry ุจูƒุชุจูˆู‡ ู…ุฎุชุตุฑ ุนู„ู‰
188
+
189
+ 48
190
+ 00:04:09,360 --> 00:04:17,060
191
+ ุงู„ุขุฎุฑ ุจุตูŠุบุฉ DMF ูุณูˆุงุก ู‚ู„ู†ุง DMF ุงู„ุงุณู… ุงู„ุงุฎุชุตุงุฑูŠ
192
+
193
+ 49
194
+ 00:04:17,060 --> 00:04:23,810
195
+ ุชุจุนู‡ dimethylformamine ุงูˆูƒุชุจู†ุงู‡ ุจู€
196
+
197
+ 50
198
+ 00:04:23,810 --> 00:04:27,230
199
+ dimethelformamide ุฃูˆ ูƒุชุจู†ุงู‡ ุจู€ NN
200
+
201
+ 51
202
+ 00:04:27,230 --> 00:04:32,170
203
+ -dimethelformamide ุงุญู†ุง ุจู†ุนุจุฑ ุนู† ู†ูุณ ุงู„ุดุบู„ุฉ ูู„ูˆ
204
+
205
+ 52
206
+ 00:04:32,170 --> 00:04:37,050
207
+ ู‚ู„ู†ุงู„ูƒู… ููŠ ุงู„ุงู…ุชุญุงู† ูˆุงู„ู„ู‡ ุงุฑุณู…ูˆู†ุง ุดูƒู„ ุงู„ DMF ุจุณ
208
+
209
+ 53
210
+ 00:04:37,050 --> 00:04:41,670
211
+ ูƒุชุจู†ุง DMF ูˆ ุงุฑุณู…ูˆุง ุดูƒู„ู‡ ูุงู„ู…ูุฑูˆุถ ุงู†ูƒูˆุง ุชุนุฑููˆุง ุงู†
212
+
213
+ 54
214
+ 00:04:41,670 --> 00:04:48,510
215
+ ุงู„ DMF ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ุดูƒู„ ุงู„ุงู† ู„ุงุญุธูˆุง ุนุงุฏ ุจูŠู† ุงู„
216
+
217
+ 55
218
+ 00:04:48,510 --> 00:04:54,410
219
+ formamide ุงู„ุนุงุฏู‰ูˆุงู„ุงู† Anti-methyl formamide ููŠ ูุฑู‚
220
+
221
+ 56
222
+ 00:04:54,410 --> 00:04:59,270
223
+ ูƒุจูŠุฑ ู‡ุฐุง ุงู„ูุฑู‚ ุงู† ุงู„ two ู‡ูŠุฏุฑูˆุฌูŠู† ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุงุชู‡ุง
224
+
225
+ 57
226
+ 00:04:59,270 --> 00:05:04,270
227
+ ุงุฎุชููˆุง ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ู†ุง ููŠ ุงู…ูƒุงู†ูŠุฉ hydrogen
228
+
229
+ 58
230
+ 00:05:04,270 --> 00:05:08,590
231
+ bonding ู‡ู†ุง ู…ุงููŠุด ุงู…ูƒุงู†ูŠุฉ hydrogen bonding ุงุฐุง ุงู†
232
+
233
+ 59
234
+ 00:05:08,590 --> 00:05:13,550
235
+ ู‡ูˆ ุงู„ู„ูŠ ุจุฏูˆ ูŠูƒูˆู† ุงุนู„ู‰ ููŠ ุงู„ boiling pointุงู„ุฃูˆู„
236
+
237
+ 60
238
+ 00:05:13,550 --> 00:05:17,250
239
+ ุงู„ู„ูŠ ุจูŠุนู…ู„ hydrogen bonding ุงู„ู€ unsubstituted ุฃู…ูŠุฏ
240
+
241
+ 61
242
+ 00:05:17,250 --> 00:05:20,290
243
+ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุงู„ form ุฃู…ูŠุฏ ู…ุซู„ุง ู„ูˆ ูƒู†ุช ุชุดูˆู ู†ู‚ุทุฉ
244
+
245
+ 62
246
+ 00:05:20,290 --> 00:05:25,990
247
+ ุบู„ูŠุงู†ู‡ 210 ุจูŠู†ู…ุง ุงู„ุงู† undimetered form ุฃู…ูŠุฏ 153
248
+
249
+ 63
250
+ 00:05:25,990 --> 00:05:30,730
251
+ ุฑุบู… ุฃู† ู‡ุฐุง ุจุงู„ูˆุฒู† ุจุงู„ molecular weight ุฃุนู„ู‰ ู…ู† ู‡ุฐุง
252
+
253
+ 64
254
+ 00:05:30,730 --> 00:05:34,830
255
+ ู„ูƒู† ู‡ุฐุง ูู‚ุท ุฎุงุตูŠุฉ ู…ู‡ู…ุฉ ุฌุฏุง ุงู„ู„ูŠ ู‡ูŠ ุฎุงุตูŠุฉ ุงู„
256
+
257
+ 65
258
+ 00:05:34,830 --> 00:05:39,360
259
+ hydrogen bondingุทุจุนุง ู„ูˆ ุนู†ุฏู‰ ู…ุซู„ ููˆุฑู…ุงู…ุฏ ูˆุงุญุฏุฉ
260
+
261
+ 66
262
+ 00:05:39,360 --> 00:05:42,060
263
+ ูŠุนู†ูŠ ุจุฏู„ ู…ุง ูŠุนู…ู„ ู…ู† ุฌู‡ุชูŠู† hydrogen bonds ุจูŠุนู…ู„ ู…ู†
264
+
265
+ 67
266
+ 00:05:42,060 --> 00:05:47,060
267
+ ูˆุงุญุฏุฉ ุจูŠูƒูˆู† in between ุจูŠู†ู‡ู… ูƒุฐู„ูƒ ุงู„ุญุงู„ ู„ูˆ ุฃุฎุฏุช
268
+
269
+ 68
270
+ 00:05:47,060 --> 00:05:50,900
271
+ ู…ุซู„ุง ู‡ุฐุง ุงู„ู…ุฑูƒุจ ุงู„ุดู‡ูŠุฑ ุงู„ู„ูŠ ุงุณู…ู‡ acetamide ู…ู†
272
+
273
+ 69
274
+ 00:05:50,900 --> 00:05:57,240
275
+ ุงู„acetic acid two carbons acetic acid ู„ู…ุง ุจูŠุฌูŠ ุงู…ุฏ
276
+
277
+ 70
278
+ 00:05:57,240 --> 00:06:00,820
279
+ ุจูŠุตูŠุฑ acetamide ู„ูˆ ูƒุงู† ููŠ ู…ุซู„ุง ุงู„ methyl groups
280
+
281
+ 71
282
+ 00:06:00,820 --> 00:06:03,680
283
+ ุจูŠุตูŠุฑ N N dimethyl
284
+
285
+ 72
286
+ 00:06:11,460 --> 00:06:16,080
287
+ ุจุงู„ู†ุณุจุฉ ู„ู‡ุฐุง ุงู„ุจุฑู†ุงู…ุฌ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆู„ู…
288
+
289
+ 73
290
+ 00:06:16,080 --> 00:06:18,280
291
+ ูŠูƒู† ู…ูˆุฌูˆุฏ ููŠ ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ
292
+
293
+ 74
294
+ 00:06:22,670 --> 00:06:26,830
295
+ ุฏุงุฆู…ุง ู‚ู„ู†ุง ู…ุง ุจู†ุนู…ู„ุด ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุดุบู„ุชูŠู† ู…ุงููŠุด ุจูŠู†ู‡ู…
296
+
297
+ 75
298
+ 00:06:26,830 --> 00:06:32,190
299
+ ู…ุดุชุฑูƒุŒ ุจู†ุทู„ุน ุงู„ุชุฌุฑุจุฉุŒ ู†ุทู„ุน ุงู„ุชุฌุฑุจุฉุŒ ูˆุงุถุญุŸ ูŠุนู†ูŠ
300
+
301
+ 76
302
+ 00:06:32,190 --> 00:06:38,070
303
+ ุฏุงุฆู…ุง ููŠ ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุจุฏุฃ ุฃุณุงุณูŠุŒ ุจุณ ุชุฎู„ูˆุง ุฅูŠุดุŸ ู…ุชุบูŠุฑ
304
+
305
+ 77
306
+ 00:06:38,070 --> 00:06:43,650
307
+ ูˆุงุญุฏุŒ ุฅุฐุง ุตุงุฑ ุฃูƒุชุฑ ู…ู† ู…ุชุบูŠุฑุŒ ุจุฏูƒูˆุง ุชุนู…ู„ู‡ ุชุฌุงุฑุจุŒ
308
+
309
+ 78
310
+ 00:06:43,650 --> 00:06:47,970
311
+ ูˆุฐูƒุฑุชูƒูˆุง ุณุงุจู‚ุง ุจู‚ูˆุงู†ูŠู† ุงู„ุบุงุฒุงุช ู„ู…ุง ุจูŠุนู…ู„ูˆุง ู…ู‚ุงุฑู†ุฉุŒ
312
+
313
+ 79
314
+ 00:06:47,970 --> 00:06:53,300
315
+ ุจู†ู‚ุงุฑู† ุงู„ุถุบุทุจุงู„ุญุฌู… ุนู† ุซุจุงุช ุนุฏุฏ ุงู„ู…ูˆู„ุงุช ูˆ ุนู† ุซุจุงุช
316
+
317
+ 80
318
+ 00:06:53,300 --> 00:06:59,760
319
+ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูˆ ุงู„ู‡ูƒุฐุง ุงู„ุงู† ูƒูŠู ุชุญุถุฑ ุงู„ amides ู…ู†
320
+
321
+ 81
322
+ 00:06:59,760 --> 00:07:03,660
323
+ ุงู„ุญุงู…ุถ ุจุชูุงุนู„ ุงู„ุญุงู…ุถ ู…ุน ุงู„ุฃู…ูˆู†ูŠุง ูˆ ุงู„ุญุฑุงุฑุฉ ุจูŠุตูŠุฑ
324
+
325
+ 82
326
+ 00:07:03,660 --> 00:07:08,200
327
+ ุนู†ุฏูŠ ุงู…ูŠุฏ ูˆ ุจุชุงุน ู‡ูŠูƒ ุดุบู„ุฉ ู…ุฑุช ุนู„ูŠู†ุง ู…ู† ุงู„ acid
328
+
329
+ 83
330
+ 00:07:08,200 --> 00:07:12,800
331
+ chloride ุงูˆ ู…ู† ุงู„ E star ุจุชูุงุนู„ู‡ ู…ุน ุงู„ุฃู…ูˆู†ูŠุง ูˆ
332
+
333
+ 84
334
+ 00:07:12,800 --> 00:07:17,840
335
+ ุงู„ุชูุงุนู„ ุงู„ู„ูŠ ุจูŠุตูŠุฑุงู„ู†ูƒู„ูŠูˆููŠู„ูŠูƒ ุณุจุณุชูŠูˆุดู† ุงู„ุฃู…ูˆู†ูŠุง
336
+
337
+ 85
338
+ 00:07:17,840 --> 00:07:23,240
339
+ ุจุชู‡ุงุฌู… ูˆุงู„ูƒู„ูˆุฑุฉ ุจูŠุทู„ุน ูˆุจุฑุถู‡ ู…ุงุฑ ุนู„ูŠู†ุง ู‡ุฐุง ุงู„ุชุญุถูŠุฑ
340
+
341
+ 86
342
+ 00:07:23,240 --> 00:07:31,100
343
+ ุงู„ุงู† ู„ูˆ ุจุฏู†ุง ู†ุชุทู„ุน ุนู„ู‰ ู†ู‚ุทุฉ ู…ู‡ู…ุฉ ุฌุฏุง ุญู‚ูŠู‚ุฉ ููŠ ุงู„
344
+
345
+ 87
346
+ 00:07:31,100 --> 00:07:37,060
347
+ amides ุงู„ amide ู…ูˆุฌูˆุฏ ููŠ c double bond o ูˆู…ูˆุฌูˆุฏ ููŠ
348
+
349
+ 88
350
+ 00:07:37,060 --> 00:07:42,730
351
+ ู†ูŠุชุฑูˆุฌูŠู† ุนู„ูŠู‡ุง ุฒูˆุฌ ุฅู„ูƒุชุฑูˆู†ุงุชูˆุงุถุญุŸ ุงู„ุขู† ุงู„ู€ C
352
+
353
+ 89
354
+ 00:07:42,730 --> 00:07:48,330
355
+ double bond O ุงู„ู€ C double bond O ุฃุฎุฏู†ุง ุนู†ู‡ุง ุฅู†ู‡ุง
356
+
357
+ 90
358
+ 00:07:48,330 --> 00:07:54,450
359
+ group very reactive ูˆุงู„ุฏู„ูŠู„ ุน ู‡๏ฟฝ๏ฟฝูƒ ุฅู†ู‡ ุฅุญู†ุง ู‚ู„ู†ุง
360
+
361
+ 91
362
+ 00:07:54,450 --> 00:07:58,030
363
+ ูŠู…ูƒู† ุชู„ุช ุฃุณุงุจูŠุน ุจู†ุงุฎุฏ aldehydes ูˆketones ูˆ acids
364
+
365
+ 92
366
+ 00:07:58,030 --> 00:08:02,950
367
+ ูˆู…ุดุชู‚ุงุชู‡ุง ูˆูƒู„ู‡ู… ุนุจุงุฑุฉ ุนู† ุชูุงุนู„ุงุช ุนู„ู‰ ุฅูŠุด ุนู„ู‰ ุงู„ู€ C
368
+
369
+ 93
370
+ 00:08:02,950 --> 00:08:06,910
371
+ double bond O ูˆู…ุญูˆุฑ ุงู„ reactivity ููŠ ุงู„ู€ C double
372
+
373
+ 94
374
+ 00:08:06,910 --> 00:08:11,900
375
+ bond O ุฅู†ู‡ ู‡ุฐุง ุงู„ูƒุฑุจูˆู†partially positive ูˆุงู„ุฃูƒุณุฌูŠู†
376
+
377
+ 95
378
+ 00:08:11,900 --> 00:08:17,280
379
+ partially negative ูุงู„ุชูุงุนู„ ุงู„ุฃุณุงุณูŠ ู„ู„ู€ CW bond ู‡ูˆ
380
+
381
+ 96
382
+ 00:08:17,280 --> 00:08:21,200
383
+ ุฃู† ูŠุฌูŠุจ ู†ูŠุฌุงุชูŠู ูŠู‡ุงุฌู… ุนู„ูŠู‡ุง ุฃูˆ ุงู„ู€ nucleophile ุงู„ู€
384
+
385
+ 97
386
+ 00:08:21,200 --> 00:08:24,080
387
+ nucleophilic ูŠุง addition ููŠ ุญุงู„ุฉ ุงู„ุฃู„ุฏู‡ุงูŠุชุฒ
388
+
389
+ 98
390
+ 00:08:24,080 --> 00:08:28,700
391
+ ูˆุงู„ูƒูŠุชูˆู†ุฒ ูŠุง substitution ููŠ ุญุงู„ุฉ ุงู„ุฃุญู…ุงุถ ุงู„ู…ุดุชู‚ุฉ
392
+
393
+ 99
394
+ 00:08:28,700 --> 00:08:31,480
395
+ ุฅุฐุง ุฃู†ุง ู‡ู†ุง ุงู„ูƒุงุฑุจูˆู† ู‡ุฐู‡ ู…ุฌู…ูˆุนุฉ
396
+
397
+ 100
398
+ 00:08:36,660 --> 00:08:41,720
399
+ ุงู„ุณุจุจ ู‡ูˆ ูˆุฌูˆุฏู‡ ุงู„ู€ positive ุจุฑุถู‡ ู†ูŠุชุฑูˆุฌูŠู† ุฃุฎุฏู†ุง ุนู†
400
+
401
+ 101
402
+ 00:08:41,720 --> 00:08:45,020
403
+ ู‡ูˆูŠู† ู…ุง ูƒุงู†ุช ุจุชุชูุงุนู„ ูŠุนู†ูŠ ุชุทู„ุน ููŠ ุงู„ู…ุซุงู„ ุงู„ู„ูŠ ู‚ุจู„
404
+
405
+ 102
406
+ 00:08:45,020 --> 00:08:49,980
407
+ ู‡ูŠูƒููŠ ุงู„ุชุญุถูŠุฑุงุช ู‡ุฐู‡ ุงู„ู€ nitrogen ุฒูˆุฌ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช
408
+
409
+ 103
410
+ 00:08:49,980 --> 00:08:53,040
411
+ ู‡ุฐุง ุจูŠุฎู„ูŠู‡ุง ุงู„ู€ nucleophile ูŠุนู†ูŠ ูƒุฃู†ู‡ ุฃู†ุดุทุชุด ููŠ
412
+
413
+ 104
414
+ 00:08:53,040 --> 00:08:56,780
415
+ ุงู„ุชูุงุนู„ ู„ู…ุง ูŠูƒูˆู† ุดุบู„ุฉ positive ูˆู„ุง ุดุบู„ุฉ negative
416
+
417
+ 105
418
+ 00:08:56,780 --> 00:09:02,280
419
+ ุณูˆุงุก ุจุดูƒู„ ูƒุงู…ู„ ุฃูˆ ุฌุฒุก ูุงู„ุฎู„ุงุต ุฃู† ู‡ู†ุง ููŠ ุงู„ุฃู…ุฏ
420
+
421
+ 106
422
+ 00:09:02,280 --> 00:09:09,470
423
+ ุจูŠู„ุชู‚ูŠ ู…ุฌู…ุนุชูŠู† ูˆุธูŠููŠุชูŠู† ู†ุงุดุทุงุช ุฌุฏุงู‹ูŠุนู†ูŠ ุงู„ู€ C
424
+
425
+ 107
426
+ 00:09:09,470 --> 00:09:13,870
427
+ double bond O ุงู„ู„ูŠ ููŠู‡ุง ุชู„ุช ุฃุณุจูŠุนุŒ chapter ุชุณุนุฉ ุฃูˆ
428
+
429
+ 108
430
+ 00:09:13,870 --> 00:09:16,730
431
+ ุนุดุฑุŒ ุงู„ุฏูŠู‡ูŠุฏุฒุŒ ูƒูŠุชูˆู†ุฒุŒ ุฃุณูŠุชุฒุŒ ูƒู„ู‡ู… ุชูุงุนู„ุงุชู‡ุงุŒ
432
+
433
+ 109
434
+ 00:09:16,730 --> 00:09:20,250
435
+ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูˆุงู„ู†ูŠุชุฑูˆุฌูŠู† ู„ูˆุญุฏู‡ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
436
+
437
+ 110
438
+ 00:09:20,250 --> 00:09:24,310
439
+ amines ุนู†ุฏู†ุง ุงู„ chapter ุฅุญุฏู‰ ุนุดุฑ ูƒู„ู‡ ุจูŠุฏุฑุณ
440
+
441
+ 111
442
+ 00:09:24,310 --> 00:09:28,310
443
+ ุชูุงุนู„ุงุชู‡ุง ุงู„ู€ amines ูˆู„ู…ู‘ุง ุฃุฎุฏู†ุง ุงู„ substitution
444
+
445
+ 112
446
+ 00:09:28,310 --> 00:09:33,330
447
+ ู‡ูŠ ู†ูŠูˆูƒู„ูŠูˆูุงู„ ู‚ูˆูŠุŒ ุฅุฐุง ุฃู†ุง ูƒุฅู†ูŠ ู‡ู†ุง ุฃู…ุงู… ุฃูƒุชุฑ
448
+
449
+ 113
450
+ 00:09:33,330 --> 00:09:37,420
451
+ ู…ุฌู…ุนุชูŠู† ููŠ ุงู„ organ ุงู„chemistry ู†ุดุงุทุง ูˆุชูุงุนู„ุงู…ุงุฐุง
452
+
453
+ 114
454
+ 00:09:37,420 --> 00:09:43,580
455
+ ู‡ู…ุŸ ุงู„ู€ C double bond O ูˆุงู„ู†ูŠุชุฑูˆุฌูŠู† ู‡ุฏูˆู„ ุงู„ู€ C
456
+
457
+ 115
458
+ 00:09:43,580 --> 00:09:46,860
459
+ double bond O ูˆุงู„ู†ูŠุชุฑูˆุฌูŠู† ู…ู† ุฃูƒุซุฑ ุงู„ู…ุฌู…ูˆุนุงุช
460
+
461
+ 116
462
+ 00:09:46,860 --> 00:09:50,960
463
+ ุชูุงุนู„ุงู‹ ุจุณ ู„ู„ุฃุณู ุงู„ุดุฏูŠุฏ ููŠ ุดุฑุท ุนุดุงู† ูŠูƒูˆู† ุฃูƒุซุฑ
464
+
465
+ 117
466
+ 00:09:50,960 --> 00:09:55,600
467
+ ุงู„ู…ุฌู…ูˆุนุงุช ุชูุงุนู„ุงู‹ ุฃู† ูƒู„ ูˆุงุญุฏุฉ ุชูƒูˆู† ู„ุญุงู„ู‡ุง ุทูŠุจ ู„ู…ุง
468
+
469
+ 118
470
+ 00:09:55,600 --> 00:09:58,580
471
+ ุจูŠุตูŠุฑูˆุง ุฌุงู†ุจ ุจุนุถ ููŠ ุงู„ุฃู…ุฏ
472
+
473
+ 119
474
+ 00:10:01,120 --> 00:10:07,560
475
+ ู„ุญุธูˆุง ุฃู†ุง ุตุงุฑุช ุชู†ุชูŠู† ููŠ ุฌุฒุก ูˆุงุญุฏ ุฌุงู†ุจ ุจุนุถ ุจูŠุตูŠุฑ
476
+
477
+ 120
478
+ 00:10:07,560 --> 00:10:10,380
479
+ ุฃู‚ู„ ุฌุฒุก ููŠ ุงู„ุชูุงุนู„ุงุช
480
+
481
+ 121
482
+ 00:10:12,630 --> 00:10:17,110
483
+ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุจูŠุตูŠุฑ ูŠุชุดุบู„ ุจุญุงู„ู‡ ุจุฏู„ ู…ุง ูŠูƒูˆู† ุฌุงู‡ุฒ ุฃู†ู‡
484
+
485
+ 122
486
+ 00:10:17,110 --> 00:10:20,870
487
+ ูŠุชูุงุนู„ ู„ู„ุฎุงุฑุฌ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ูˆุฌุจ ูˆ ู‡ู†ุง ุณุงู„ุจ ุงู„ุณุงู„ุจ
488
+
489
+ 123
490
+ 00:10:20,870 --> 00:10:24,810
491
+ ุจุฏู‡ ู…ูˆุฌุจ ูˆ ุงู„ู…ูˆุฌุจ ุจุฏู‡ ุณุงู„ุจ ููƒุฃู†ู‡ ู‡ุฐุง ุงู„ุณุงู„ุจ ุจู†ู‚ุฏุฑ
492
+
493
+ 124
494
+ 00:10:24,810 --> 00:10:28,270
495
+ ู†ุชุฎูŠู„ู‡ ุจูŠุฌูŠ ุนู„ู‰ ู‡ุฐุง ุงู„ู…ูˆุฌุจ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจูŠุนู…ู„
496
+
497
+ 125
498
+ 00:10:28,270 --> 00:10:33,330
499
+ resonance structures ู„ุง ุถุงู„ ู‡ู†ุง ู…ูˆุฌุจ ูˆู„ุง ุถุงู„ ู‡ู†ุง
500
+
501
+ 126
502
+ 00:10:33,330 --> 00:10:39,450
503
+ ุณุงู„ุจ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุจูŠุตูŠุฑ ุงู„ุฃู…ุฏvery very unreactive
504
+
505
+ 127
506
+ 00:10:39,450 --> 00:10:43,990
507
+ ูˆู„ุง ูƒุฃู†ู‡ ููŠู‡ C double bond O ูˆู„ุง ูƒุฃู†ู‡ ููŠู‡ ู†ูŠุชุฑูˆุฌูŠู†
508
+
509
+ 128
510
+ 00:10:43,990 --> 00:10:49,430
511
+ ูˆู„ุฐู„ูƒ ุงู„ุขู† ู…ุงุจู†ุงุฎุฏุด ุชูุงุนู„ุงุช ูƒุชูŠุฑุฉ ู„ู€ AMIDS ู„ูŠุดุŸ
512
+
513
+ 129
514
+ 00:10:49,430 --> 00:10:52,590
515
+ ู„ุฃู† ุงู„ู€ C double bond O ุจุญุงุฌุฉ ู„ุฃู„ูƒุชุฑูˆู†ุงุช ู…ู† ูˆูŠู†
516
+
517
+ 130
518
+ 00:10:52,590 --> 00:10:58,150
519
+ ุจุชุงุฎุฏู‡ู…ุŸ ู…ู† ุฏุงุฎู„ ุงู„ุฌุฒุก ู…ุงุจุชุฑูˆุญุด ุชุณุชู†ู‰ ุญุงุฌุฉ ู…ู† ุจุฑุฉ
520
+
521
+ 131
522
+ 00:10:58,150 --> 00:11:01,490
523
+ ุชูŠุฌูŠ ุชู‡ุฌู… ุนู„ูŠู‡ุง ูˆุจุตูŠุฑ ู‡ุฐุง ุงู„ resonance structures
524
+
525
+ 132
526
+ 00:11:01,490 --> 00:11:09,170
527
+ ูุจุณุจุจุงู„ู€ Resonance ูŠูุนุชุจุฑ ุงู„ุฃู…ุฏ Unreactive ูŠุนู†ูŠ
528
+
529
+ 133
530
+ 00:11:09,170 --> 00:11:16,530
531
+ ุงู„ุฃู…ุฏ ุงู„ู€ Resonance ูŠูุนุชุจุฑ ุฃู…ุฏุงู‹ ุบูŠุฑ ุฑุฏูˆุฏุงู‹ ูˆุงุถุญุŸ
532
+
533
+ 134
534
+ 00:11:16,530 --> 00:11:19,950
535
+ ุฅุฐู† ุฅูŠุด ุณุจุจ ุงู„ู€ UnreactivityุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃู…ุฏ
536
+
537
+ 135
538
+ 00:11:19,950 --> 00:11:24,570
539
+ Resonance ุฑุบู… ุฅู† ู‡ุงู„ู…ุฌู…ุนุชูŠู† ูŠูุนุชุจุฑูˆุง ุฒูŠ ู…ุง ุงุชูู‚ู†ุง
540
+
541
+ 136
542
+ 00:11:24,570 --> 00:11:28,550
543
+ ู…ู† ุฅูŠุดุŸ ู…ู† ุฃู†ุดุท ุงู„ู…ุฌู…ูˆุนุงุช ู„ู…ุง ูŠูƒูˆู†ูˆุง ูƒู„ ูˆุงุญุฏุฉ ู„ุญุงู„
544
+
545
+ 137
546
+ 00:11:28,550 --> 00:11:34,290
547
+ ู„ูƒู† ุฅุฐุง ุฃุชูŠูˆุง ู…ุน ุจุนุถ ุณุจุญุงู† ุงู„ู„ู‡ุจุชุดุบู„ูˆุง ููŠ ุจุนุถ ุฒูŠ
548
+
549
+ 138
550
+ 00:11:34,290 --> 00:11:41,250
551
+ ู‡ูŠูƒ ุฑุจู…ุง ู…ู…ุง ูŠุซุจุช ู‡ุฐุง ุงู„ูƒู„ุงู… ุงู† ุงู„ุงู…ุฏ is very
552
+
553
+ 139
554
+ 00:11:41,250 --> 00:11:49,210
555
+ unreactive ุงู† ุนู†ุฏูƒู… ุงู„ู†ูŠู„ูˆู† ุงู„ู†ูŠู„ูˆู† ุงู„ู†ูŠู„ูˆู†
556
+
557
+ 140
558
+ 00:11:49,210 --> 00:11:55,410
559
+ ุงู„ุญู‚ูŠู‚ุฉ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู…ุฏุงู„ู†ูŠู„ูˆู† ุงู„ู„ูŠ ุงุญู†ุง ุจู†ุณุชุนู…ู„ู‡
560
+
561
+ 141
562
+ 00:11:55,410 --> 00:12:00,630
563
+ ุนุจุงุฑุฉ ุนู† ุฃู…ุฏ ูˆู‡ุฐุง ุงู„ู†ูŠู„ูˆู† very unreactive ููŠ
564
+
565
+ 142
566
+ 00:12:00,630 --> 00:12:04,830
567
+ ุงู„ุฏู„ูŠู„ ุน ู‡ูŠูƒ ุงู†ู‡ ุงุญู†ุง ู…ุซู„ุง ู„ูˆ ุฏูู†ู†ุง ุนุฏุฉ ุดุบู„ุงุช ููŠ
568
+
569
+ 143
570
+ 00:12:04,830 --> 00:12:08,750
571
+ ุงู„ุฃุฑุถ ูˆ ุงุฌูŠู†ุง ุจุนุฏ ุดู‡ุฑูŠู† ูุญุฑู†ุง ุงู„ุฃุฑุถ ุจู†ู„ุงู‚ูŠ ูุถู„ุงุช
572
+
573
+ 144
574
+ 00:12:08,750 --> 00:12:12,790
575
+ ุงู„ุทุนุงู… ูˆุฃูˆุฑุงู‚ ุงู„ุฃุดุฌุงุฑ ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูƒู„ู‡ุง ุฅุดู…ุงู„ู‡ุง
576
+
577
+ 145
578
+ 00:12:12,790 --> 00:12:17,670
579
+ ู…ุชุญู„ู„ุฉ ู„ูƒู† ูƒูŠุงุณ ุงู„ู†ูŠู„ูˆู† ุจุชุธู„ ูˆ ุจุชุนู…ู„ ู…ุดูƒู„ุฉ ุจูŠุฆูŠุฉ
580
+
581
+ 146
582
+ 00:12:18,380 --> 00:12:22,540
583
+ ูˆุงุถุญุŸ ุทุจุนุง ุฃูŠ ุฅุดูŠ ู…ู…ูƒู† ูŠุนู…ู„ .. ุฃูŠ ุฅุดูŠ ู…ู…ูƒู†
584
+
585
+ 147
586
+ 00:12:22,540 --> 00:12:28,880
587
+ ุจุงู„ู…ู†ุงุณุจุฉ ูŠุนู…ู„ ู…ุดูƒู„ุฉ ูˆู…ู…ูƒู† ูŠูƒูˆู† ู…ููŠุฏ ุญุณุจ ุงู„ุญุงู„ุฉ
588
+
589
+ 148
590
+ 00:12:28,880 --> 00:12:32,860
591
+ ุงู„ู„ูŠ ุฃู†ุง ุจุชุนุงู…ู„ ููŠู‡ุง ูŠุนู†ูŠ ุชู…ุงู…ุง ุฒูŠ ุงู„ุณูƒูŠู†ุฉ ุนู„ู‰
592
+
593
+ 149
594
+ 00:12:32,860 --> 00:12:36,840
595
+ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู„ุงุฒู…ุงู† ุนุดุงู† ุฃู‚ุทุน ููŠู‡ุง ุฃูˆ ุนุดุงู† ู‡ูŠูƒ
596
+
597
+ 150
598
+ 00:12:36,840 --> 00:12:40,900
599
+ ุจุฌูŠุจู‡ุง ุจุงู„ุฏุงุฑ ู„ูƒู† ุจู†ูุณ ุงู„ูˆู‚ุช ู…ู…ูƒู† ุชุฌุฑุญ ุฃูˆ ..ุชู‚ุชู„
600
+
601
+ 151
602
+ 00:12:40,900 --> 00:12:45,320
603
+ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ุงุณุชุนู…ุงู„ ุงู„ุงู† ุงู„ู†ูŠู„ูˆู† ูŠูˆู… ู…ุง ุงุฎู„ุต ู…ู†
604
+
605
+ 152
606
+ 00:12:45,320 --> 00:12:48,700
607
+ ุงุณุชุนู…ุงู„ู‡ ุฒูŠ ุงู„ูƒูŠุงุณ ุงู„ู„ูŠ ุจู†ุดุชุฑูŠ ู…ู†ู‡ุง ูˆ ุจุฏู†ุง ู†ุชุฎู„ุต
608
+
609
+ 153
610
+ 00:12:48,700 --> 00:12:52,020
611
+ ู…ู†ู‡ุง ูˆ ู‡ู„ูˆู… ู…ุฌุฑุฏ ู‡ูˆ ูŠู…ุซู„ ู…ุดูƒู„ุฉ ุจูŠุฆูŠุฉ ุงู†ุง ู…ุด ู‚ุงุฏุฑ
612
+
613
+ 154
614
+ 00:12:52,020 --> 00:12:56,420
615
+ ุงุชุฎู„ุต ู…ู†ู‡ ู„ูƒู† ุงู„ู†ูŠู„ูˆู† ููŠ ู…ุฑุงุช ุชุงู†ูŠุฉ ู„ู…ุง ุจุฏูŠ ุงุดูŠ
616
+
617
+ 155
618
+ 00:12:56,420 --> 00:13:03,340
619
+ ุทูˆู„ ุนู†ุฏู‡ุจูƒูˆู† ุจุญุงุฌุฉ ุฅู„ู‰ ู†ูŠู„ูˆู† ูŠุนู†ูŠ ู…ุซู„ุง ููŠ ุงู„ุฏูˆู„
620
+
621
+ 156
622
+ 00:13:03,340 --> 00:13:07,240
623
+ ุงู„ู„ูŠ ุจูŠู…ุดูˆุง ููŠู‡ุง ูƒูˆุงุจู„ ุงู„ุชู„ูŠููˆู†ุงุช ุฃูˆ ูƒู‡ุฑุจุง ููŠ
624
+
625
+ 157
626
+ 00:13:07,240 --> 00:13:11,900
627
+ ุงู„ุฃุฑุถ ุนู„ู‰ ุนู…ู‚ ู…ุชุฑ ุจูŠุญุทูˆุง ุงู„ูƒุงุจู„ ููŠ ุงู„ุฃุฑุถ ุนู„ู‰ ุนู…ู‚
628
+
629
+ 158
630
+ 00:13:11,900 --> 00:13:15,640
631
+ ู…ุชุฑ ูˆ ุจุทู…ูˆุง ุดูˆูŠุฉ ุนู„ู‰ ุนู…ู‚ ู†ุต ู…ุชุฑ ุจุชุฌูŠุจูˆุง ุดุฑูŠุท
632
+
633
+ 159
634
+ 00:13:15,640 --> 00:13:20,210
635
+ ุงู„ู†ูŠู„ูˆู† ุงู„ุฃุตูุฑ ุฅุฐุง ุจุชุดูˆููˆุง ุฅูŠุด ุจูŠูƒูˆู† ู…ูƒุชูˆุจุงู†ุชุจู‡
636
+
637
+ 160
638
+ 00:13:20,210 --> 00:13:25,210
639
+ ุฎุทุฑ ุงู„ุญูุฑูŠุงุช ุฃูˆ ุฎุทุฑ ุงู„ูƒู‡ุฑุจุงุก ูˆููˆู‚ ุงู„ุณู„ูƒ ุงู„ู…ุฏููˆู†
640
+
641
+ 161
642
+ 00:13:25,210 --> 00:13:29,130
643
+ ุจู†ุต ู…ุชุฑ ุจูŠูƒูˆู†ูˆุง ุญุงุทูŠู† ุฃุดุฑูŠุทุฉ ู†ุงูŠู„ูˆู† ุนู„ูŠู‡ุง ุงู„ูƒุชุงุจุฉ
644
+
645
+ 162
646
+ 00:13:29,130 --> 00:13:32,590
647
+ ู‡ุฐุง ุงู„ุดุฑูŠุท ู…ูุชุฑุถ ุฃู†ู‡ ู…ู…ูƒู† ูŠุธู„ ุนุดุฑ ุฃูˆ ุฎู…ุณุชุงุดุฑ ุฃูˆ
648
+
649
+ 163
650
+ 00:13:32,590 --> 00:13:37,310
651
+ ุนุดุฑูŠู† ุณู†ุฉ ูŠุนู†ูŠ ู„ูˆ ูˆุงุญุฏ ุฅูŠุฌูŠ ูŠูุญุฑ ุจุฌุฑุงูุฉ ุฃูˆ ุฅูŠุดุŒ
652
+
653
+ 164
654
+ 00:13:37,310 --> 00:13:42,510
655
+ ุงู†ุงุจูˆู„ู‡ ุจุนุฏ ู†ุต ู…ุชุฑ ู‡ุชู„ุงู‚ูŠ ุฅูŠุดุŸ ูƒุงุจู„ ูƒู‡ุฑุจุง ูุจุนุฏ
656
+
657
+ 165
658
+ 00:13:42,510 --> 00:13:47,870
659
+ ุงู„ุญู„ู‚ุฉ ุฃู†ุง ุจุตูŠุฑ ู…ุณุชููŠุฏ ู…ู† ููƒุฑุฉ ุฃู† ุงู„ู†ุงูŠู„ูˆู†ู…ุงุจุชุญู„ู„ุด
660
+
661
+ 166
662
+ 00:13:47,870 --> 00:13:52,030
663
+ ูุฃูŠ ุดุบู„ุฉ ู…ู…ูƒู† ุฃู† ุฃุณุชููŠุฏ ู…ู†ู‡ุง ุฅุฐุง ุจุฏูŠุงู„ู‡ุง ุดุบู„ุฉ ู…ู‡ู…ุฉ
664
+
665
+ 167
666
+ 00:13:52,030 --> 00:13:58,190
667
+ ู…ุงุจู‡ู…ู†ูŠ ู…ุงูŠุชุญู„ู„ุด ู„ูƒู† ุฅุฐุง ุฎู„ุตุช ู…ู†ู‡ ุจุตูŠุฑ ู…ุดูƒู„ุฉ ุฎุตูˆุตุง
668
+
669
+ 168
670
+ 00:13:58,190 --> 00:14:01,110
671
+ ุจุชุดูˆู…ู‡ ู„ู…ุง ุงู„ู†ุงุณ ููŠ ุงู„ู„ูŠู„ ุจูŠุญุฑุฌูˆุง ุงู„ู†ูŠู„ูˆู† ูˆูƒูŠู
672
+
673
+ 169
674
+ 00:14:01,110 --> 00:14:06,310
675
+ ุงู„ุฑูŠุญุฉ ุชุจุนุชู‡ ู„ุฃู† ุงู„ู†ูŠู„ูˆู† ู…ุงุจุชุญู„ู„ุด ุทูŠุจ ู†ุฑุฌุน ุฅู„ู‰ ุงู„
676
+
677
+ 170
678
+ 00:14:06,310 --> 00:14:11,550
679
+ issue ุงู„ู†ูŠู„ูˆู†ุงู„ู†ูŠู„ูˆู† ุนุจุงุฑุฉ ุนู† ุฏุงูŠ ุฃุณูŠุฏ ูƒู„ูˆุฑุงูŠุฏ
680
+
681
+ 171
682
+ 00:14:11,550 --> 00:14:14,950
683
+ ูŠุนู†ูŠ ุจุงุฎุฏ ุณุช ูƒุฑุจูˆู†ุงุช ุบุงู„ุจุง ุงู„ู†ูŠู„ูˆู† ุงู„ุดู‡ูŠุฑ ู…ู† ุณุช
684
+
685
+ 172
686
+ 00:14:14,950 --> 00:14:18,010
687
+ ูƒุฑุจูˆู†ุงุช ูˆุงุญุฏ ุงุชู†ูŠู† ุงุชู„ุงุช ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุช ุฃุณูŠุฏ
688
+
689
+ 173
690
+ 00:14:18,010 --> 00:14:24,710
691
+ ูƒู„ูˆุฑุงูŠุฏ ูˆุจูŠุงุฎุฏูˆุง ุฏุงูŠ ุฃู…ูŠู† ู…ูƒูˆู‘ู† ู…ู† ุณุช ูƒุฑุจูˆู†ุงุช ุงู„ุขู†
692
+
693
+ 174
694
+ 00:14:24,710 --> 00:14:28,770
695
+ ุจูŠุฌูˆุง ูŠูุนู„ูˆุง ู…ุน ุจุนุถ ู‡ุฐู‡ ุงู„ู†ูŠุชุฑูˆุฌูŠู† ุจุชู‡ุงุฌู… ู‡ู†ุง ุนู„ู‰
696
+
697
+ 175
698
+ 00:14:28,770 --> 00:14:34,050
699
+ ุงู„ูƒุฑุจูˆู† ูˆ ุชุทุฑุฏ ุงู„ู€Cl ุฅุฐุง ุงู†ุตุฑุช ู‡ุฐู‡ ุงู„ู†ูŠุชุฑูˆุฌูŠู†
700
+
701
+ 176
702
+ 00:14:34,050 --> 00:14:40,530
703
+ ุดุงุจูƒุฉุจุงู„ู€ C double bond O ุนุงู…ู„ุฉ ู‚ุงู…ุช ุงู„ุฃุจ ู‡ุงุฏ ุงู„ู€
704
+
705
+ 177
706
+ 00:14:40,530 --> 00:14:46,630
707
+ nitrogen ุงู„ุชุงู†ูŠ ุดูˆ ุจุชุนู…ู„ ุงุจุชุดููƒ ู…ุน ุงู„ุฌุฒูŠุก ู…ู† ุงู„ุฌู‡ุฉ
708
+
709
+ 178
710
+ 00:14:46,630 --> 00:14:52,970
711
+ ุงู„ุชุงู†ูŠุฉ ูˆ ู‡ู„ู…ู‡ ุฌุฑู† ูุจุตูŠุฑ ุนู†ุฏ ุญูˆุงู„ูŠ ุชู„ุชุฉ ุงุฑุจุน ุชู„ุงู
712
+
713
+ 179
714
+ 00:14:53,720 --> 00:14:58,920
715
+ ู‚ุทุนุฉ ุงู…ูƒูˆู†ูŠู† ู…ู† ุงูŠุด ู…ู† 6 ุฐุฑุงุช ูƒุฑุจูˆู† ุงุฌู‡ ู…ู† ุงู„ acid
716
+
717
+ 180
718
+ 00:14:58,920 --> 00:15:04,600
719
+ ูˆ ุจุนุฏูŠู† 6 ุฐุฑุงุช ูƒุฑุจูˆู† ุงุฌู‡ ู…ู† ุงู„ diamine ุนุดุงู† ู‡ูŠ ูƒุฏู‡
720
+
721
+ 181
722
+ 00:15:04,600 --> 00:15:11,740
723
+ ุงู„ู†ูŠู„ูˆู† ุจูŠุณู…ูˆู‡ ู†ูŠู„ูˆู† ุงู„ู„ูŠ ุฒูŠ 6 6 ุงู„ุงู† ุทุจุนุง ู‡ู„
724
+
725
+ 182
726
+ 00:15:11,740 --> 00:15:17,300
727
+ ุจูŠู…ูƒู† ุงู† ุงู†ุง ุงุนู…ู„ ู†ูŠู„ูˆู† 6 4 ูŠุนู†ูŠ ุงุฌูŠุจ 6 ุฐุฑุงุช ู…ู†
728
+
729
+ 183
730
+ 00:15:17,300 --> 00:15:24,600
731
+ ุงู„ุญุงู…ุถ ูˆ 4 ูƒุฑุจูˆู† ูˆ ุงุนู…ู„ ู†ูŠู„ูˆู†ู…ุงููŠุด ู…ุงู†ุน ุจู‚ุฏุฑ ุงุนู…ู„
732
+
733
+ 184
734
+ 00:15:24,600 --> 00:15:28,960
735
+ ู†ุงูŠู„ูˆู† 68 ู…ุงููŠุด ู…ุงู†ุน ุจุณ ุจูŠุตูŠุฑ ููŠ ูƒู„ ุญุงู„ุฉ ู…ู†
736
+
737
+ 185
738
+ 00:15:28,960 --> 00:15:33,340
739
+ ุงู„ุญุงู„ุงุช ููŠู‡ุง ู†ุงูŠู„ูˆู† ู…ูˆุงุตูุฉ ู…ุนูŠู†ุฉ ูŠุนู†ูŠ ุงู„ polymer
740
+
741
+ 186
742
+ 00:15:33,340 --> 00:15:37,800
743
+ ุดูุงููŠุฉ ุงู„ ู†ุงูŠู„ูˆู† ุงู†ู‡ ุจุชูƒุณุฑ ุงู†ู‡ ุจู†ุชุนุฌุจ ู‡ุฐุง ุจุนุชู…ุฏ
744
+
745
+ 187
746
+ 00:15:37,800 --> 00:15:42,560
747
+ ุนู„ู‰ ุงู† ุงุดุชุบู„ ุจุฃูŠ ู†ูˆุน ู…ู† ุงู„ุฐุฑุงุช ูˆ ุจู†ูุณ ุงู„ูˆุฌู‡ุฉ ุงู„
748
+
749
+ 188
750
+ 00:15:42,560 --> 00:15:47,620
751
+ polymer ุงู„ู„ูŠ ุงุนู…ู„ู‡ ู‡ู„ ูŠูƒูˆู† 2000 ู…ุฑุฉ ู…ุชูƒุฑุฑุฉ 3000
752
+
753
+ 189
754
+ 00:15:47,620 --> 00:15:54,820
755
+ 3500 ู‡ุฐุง ุจูŠุตูŠุฑ ุดุบู„ ุงูŠุดุŸุตู†ุงุนุฉ ุจูŠุตูŠุฑ ุดุบู„ ุตู†ุงุนุฉ
756
+
757
+ 190
758
+ 00:15:54,820 --> 00:15:58,800
759
+ ู‡ุงู„ุฃุดูŠุงุก ุงู„ู…ุฎุชู„ูุฉ ูƒุชูŠุฑ ู…ู† ุงู„ู†ูŠู„ูˆู† ุจุณ ุฃู‡ู… ุงุดูŠ ููŠ
760
+
761
+ 191
762
+ 00:15:58,800 --> 00:16:03,780
763
+ ุงู„ู†ูŠู„ูˆู† ููƒุฑุฉ ุงู„ amide linkage ุงู„ู„ูŠ ู‡ูˆ ุงุฑุชุจุงุท ุงู„ุงู…ุฏ
764
+
765
+ 192
766
+ 00:16:03,780 --> 00:16:10,840
767
+ ุงู„ู„ูŠ ุจุชุฎู„ูŠู‡ unreactive ุทุจุนุง ู„ู…ุนู„ูˆู…ุงุชูƒ ู‡ูˆ ุงู„ุงู…ุฏ
768
+
769
+ 193
770
+ 00:16:10,840 --> 00:16:16,120
771
+ ุงู„ู†ูŠู„ูˆู† ุนููˆุง ุญุถุฑ ููŠ ุชู‚ุฑูŠุจุง ุงู„ 1934
772
+
773
+ 194
774
+ 00:16:17,890 --> 00:16:22,590
775
+ ุญุถุฑ ููŠ ุงู„ู€ 1934 ูˆูƒุงู† ุตุงุฑุฎุฉ ู„ูŠุดุŸ ู„ุฃู†ู‡ ุจุฏุฃุช ุงู„ุฎูŠูˆุท
776
+
777
+ 195
778
+ 00:16:22,590 --> 00:16:26,630
779
+ ุงู„ู†ูŠู„ูˆู† ูˆ ุงู„ุฌูˆุงุฑุจ ุงู„ู†ูŠู„ูˆู† ูˆ ูƒู„ ุงู„ุนุงู„ู… ูŠุนู†ูŠ ุตุงุฑุฎุฉ
780
+
781
+ 196
782
+ 00:16:26,630 --> 00:16:30,910
783
+ ูƒุจูŠุฑุฉ ูˆ ุชุนุจูˆุง ู„ู…ุง ุญุทูˆู„ู‡ุง ุงู„ุฅุณู… ุงู„ุฌุฐุงุจ ู†ูŠู„ูˆู† ูŠุนู†ูŠ
784
+
785
+ 197
786
+ 00:16:30,910 --> 00:16:38,250
787
+ ู…ุฎุชุฑุน ูƒุงู† ุฅุดูŠ ูƒุชูŠุฑ ุฌุฏุง ุทุจุนุง ุงู„ู„ูŠ ุงุฎุชุฑุนู‡ ุจุนุฏ ุชู„ุช
788
+
789
+ 198
790
+ 00:16:38,250 --> 00:16:40,710
791
+ ุฃุฑุจุน ุณู†ูŠู† ุฒู‡ุฌ ู…ู† ุงู„ุฏู†ูŠุง ูุงู†ุชุญุฑ
792
+
793
+ 199
794
+ 00:16:43,150 --> 00:16:46,830
795
+ ุงู„ุฏู†ูŠุง ูˆุงุณุนุฉุŒ ุฑูˆุญูˆุง ุงุณุฃู„ูˆุง ู„ูŠุด ูˆุงู†ุชุญุฑูˆุง ุฃู†ุง ู…ุง
796
+
797
+ 200
798
+ 00:16:46,830 --> 00:16:51,170
799
+ ุจุนุฑูุด ู„ูŠุด ูˆุจุนุฏ ุฐู„ูƒ ู„ู„ุฃุณู ูุชุฑุฉ ุงู„ุญุฑุจ ุงู„ุนุงู„ู…ูŠุฉ
800
+
801
+ 201
802
+ 00:16:51,170 --> 00:16:55,110
803
+ ุงู„ุชุงู†ูŠุฉ ุชู‚ุฑูŠุจุง ูƒู„ ุงุณุชูุงุฏุฉ ู…ู† ุงู„ู†ูŠู„ูˆู† ู„ู„ุตู†ุงุนุงุช ุงู„ู„ูŠ
804
+
805
+ 202
806
+ 00:16:55,110 --> 00:16:59,530
807
+ ุจุชููŠุฏ ุงู„ู†ุงุณ ุฃุบู„ู‚ุช ู„ุฃู†ู‡ ุตุงุฑ ู„ุงุฒู… ุฃุนู…ู„ ู…ู†ู‡ ุฎูŠุงู…
808
+
809
+ 203
810
+ 00:16:59,530 --> 00:17:04,670
811
+ ูˆุจุฑุงุดูˆุช ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ููƒู„ ุดุบู„ ุงู„ู†ูŠู„ูˆู† ุตุงุฑ ูŠุชุญูˆู„
812
+
813
+ 204
814
+ 00:17:04,670 --> 00:17:08,930
815
+ ู„ุฅูŠุดุŸ ู„ู„ุญุฑุจ ููŠ ุงู„ุญุฑุจ ุงู„ุนุงู„ู…ูŠุฉ ุงู„ุชุงู†ูŠุฉ ุฎู„ุตุช ุงู„ุญุฑุจ
816
+
817
+ 205
818
+ 00:17:08,930 --> 00:17:12,970
819
+ ุฑุฌุนูˆุง ูŠุณุชุนู…ู„ูˆุง ููŠ ุงู„ู…ู„ุงุจุณ ุงู„ู†ูŠู„ูˆู†ุงู„ู€ fibersุŒ
820
+
821
+ 206
822
+ 00:17:12,970 --> 00:17:18,890
823
+ ุงู„ุฎุทุงู†ุŒ ุงู„ูŠูˆู… ุฃูุถู„ ุงู„ู…ู„ุงุจุณุŒ ุฃู‚ู„ ุชู‚ุฏูŠุฑ ุจุงู„ู†ุณุจุฉ
824
+
825
+ 207
826
+ 00:17:18,890 --> 00:17:23,690
827
+ ู„ู„ู†ุณุงุก ูŠุนู†ูŠุŒ ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠู‡ุง ู†ุณุจุฉ ุฅูŠุดุŸ ู†ูŠู„ูˆู†ุŒ ู…ูŠู†
828
+
829
+ 208
830
+ 00:17:23,690 --> 00:17:30,530
831
+ ุจูŠู‚ุฏุฑ ูŠุชุนุงู…ู„ ุงู„ูŠูˆู… ู…ุน ู‚ู…ูŠุต ูƒู„ู‡ ู‚ุทู†ุŸ ู…ู† ู†ุงุญูŠุฉ
832
+
833
+ 209
834
+ 00:17:30,530 --> 00:17:36,210
835
+ ุงู„ูƒูˆูŠุŒ ู…ู† ู†ุงุญูŠุฉ ุฅูŠุดุŸุจูƒูˆ ุฌู…ูŠุณ ุงู„ู‚ุทู† ุฅู„ุง ูŠูƒูˆู† 60%
836
+
837
+ 210
838
+ 00:17:36,210 --> 00:17:42,550
839
+ ู‚ุทู† ูˆ 40% ู†ูŠู„ูˆู†ุŒ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ูุงู„ุฎู„ุงุตุฉ ู‡ุฐุง ู‡ูˆ
840
+
841
+ 211
842
+ 00:17:42,550 --> 00:17:47,070
843
+ ุงู„ู†ูŠู„ูˆู† ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† Amides ุงู„ุงู† ุงุญู†ุง ุงู„ู„ูŠ
844
+
845
+ 212
846
+ 00:17:47,070 --> 00:17:53,700
847
+ ู‚ู„ู†ุงู‡ ุงู† ุชูุงุนู„ุงุช ุงู„ Amides ู‡ูŠ ุชูุงุนู„ุงุช ู‚ู„ูŠู„ุฉู…ู†
848
+
849
+ 213
850
+ 00:17:53,700 --> 00:17:57,460
851
+ ุงู„ุชูุงุนู„ุงุช ุงู„ู‚ู„ูŠู„ุฉ ุฃู†ู‡ ููŠ ุธุฑูˆู ู…ุนูŠู†ุฉ ู„ูŠุณุช ุณู‡ู„ุฉ ูŠุนู†ูŠ
852
+
853
+ 214
854
+ 00:17:57,460 --> 00:18:03,120
855
+ ุจู„ุฒู… ุญุฑุงุฑุฉ ูˆ ุจู„ุฒู… ุฒู…ุงู† ูƒุชูŠุฑ ุงู„ุฃู…ู† ู…ุน ุงู„ู…ูŠ ุฃูˆ ุญุงู…ุถ
856
+
857
+ 215
858
+ 00:18:03,120 --> 00:18:07,620
859
+ ุฃูˆ ู‚ุงุนุฏุฉ ุฃูˆ ุญุฑุงุฑุฉ ุฃูˆ ุฒู…ุงู† ู…ู…ูƒู† ูŠุชุญูˆู„ ุฅู„ู‰ ุฃุณู ุจู…ุนู†ู‰
860
+
861
+ 216
862
+ 00:18:07,620 --> 00:18:11,300
863
+ ุฃู† ุงู„ O H ุชุงุนุฉ ุงู„ู…ูŠ ุฃูˆ ุงู„ู…ูŠ ูƒู„ู‡ุง ุชู‡ุงุฌู… ูˆ ุจุนุฏูŠู†
864
+
865
+ 217
866
+ 00:18:11,300 --> 00:18:17,320
867
+ ุชูู‚ุฏ H ูุงู„ุฃู…ู†ุจูŠุตูŠุฑู„ู‡ ุนู…ู„ูŠุฉ ุจูŠุณู…ูŠู‡ุง hydrolysisุŒ
868
+
869
+ 218
870
+ 00:18:17,320 --> 00:18:22,320
871
+ hydrolysis ู„ูŠุดุŸ ู„ุฃู†ู‡ ู‡ูŠ ุชูุงุนู„ ู…ุน ุงู„ู…ูŠู‡ุŒ ุชูุงุนู„
872
+
873
+ 219
874
+ 00:18:22,320 --> 00:18:26,480
875
+ ุงู„ุดุบู„ ู…ุน ุงู„ู…ูŠู‡ุŒ hydrolysis ูุงู„ุงู…ุฏ ู…ู…ูƒู† ูŠุตูŠุฑู„ู‡
876
+
877
+ 220
878
+ 00:18:26,480 --> 00:18:31,280
879
+ hydrolysis ุจุณ ุฒูŠ ู…ุง ู‚ู„ุชู„ูƒูˆุงุŒ ุจุฏู‡ูˆู‚ุช ูˆ ุจุฏู‡ ุญุฑุงุฑุฉ ูˆ
880
+
881
+ 221
882
+ 00:18:31,280 --> 00:18:35,520
883
+ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ุงู„ุดุฑูˆุท ุงู„ุชูุตูŠู„ูŠุฉ ุจุชูƒูˆู† ู…ูƒุชูˆุจุฉ ููŠ ุงู„ูƒุชุจ
884
+
885
+ 222
886
+ 00:18:35,520 --> 00:18:40,680
887
+ ุงู„ุนู…ู„ูŠุฉ ุงู„ุดุบู„ ุงู„ุชุงู†ูŠ ุงู†ู‡ ุฒูŠ ู…ุง ูƒุงู† ูŠุญุตู„ ุนู†ุฏู‰ ู„ู„
888
+
889
+ 223
890
+ 00:18:40,680 --> 00:18:45,360
891
+ Easter's reduction ุงู„ู‚ู…ุฏ ู…ู…ูƒู† ูŠุญุตู„ ู„ู‡ reduction
892
+
893
+ 224
894
+ 00:18:45,360 --> 00:18:49,520
895
+ ุงุชุฐูƒุฑูˆุง ู…ุนุงูŠุง ููŠ ุญุงู„ุฉ ุงู„ Easter ุนุดุงู† ุงุชู‚ุงุฑู„ูˆุง
896
+
897
+ 225
898
+ 00:18:49,520 --> 00:18:53,740
899
+ ุงู„ู…ุนุงุฏู„ุชูŠู† ุจุงู„ุธุจุท ู„ู…ุง ูƒุงู† ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ Easter ูˆ
900
+
901
+ 226
902
+ 00:18:53,740 --> 00:18:57,460
903
+ ูƒู†ุช ุงุนู…ู„ู‡ reduction ุจุฏูŠ ุงุญุทู‡ ุชุญุชู‡ ุจุงู„ุธุจุท ูƒุงู† ุนู†ุฏู‰
904
+
905
+ 227
906
+ 00:18:57,460 --> 00:19:04,300
907
+ RCWBond O ูˆ ุฃุนู…ู„ ุฑุฏูƒุดู†
908
+
909
+ 228
910
+ 00:19:19,800 --> 00:19:24,760
911
+ ุงู„ุฃู…ุฏ ุจู†ูุณ ุงู„ู…ู†ุทู‚ ุชู…ุงู…ุง ุงู„ู€ C double bond O ุชุจุนุชู‡
912
+
913
+ 229
914
+ 00:19:24,760 --> 00:19:29,500
915
+ ููŠ ุงู„ reduction ุจุชุตูŠุฑ CH2 ุฅุฐุง ู„ู…ุง ุจูŠูƒูˆู† ุนู†ุฏูŠ R C
916
+
917
+ 230
918
+ 00:19:29,500 --> 00:19:32,100
919
+ double bond O NH2 ู…ุนู†ุงูƒ ุฃู† ุฃู†ุง ุงู„ู…ู†ู‡ู… ู‡ูŠุฏุฑุงูŠุช
920
+
921
+ 231
922
+ 00:19:32,100 --> 00:19:38,520
923
+ ุจูŠุตูŠุฑ R CH2 NH2 ูŠุนู†ูŠ ูƒุฃู†ู‡ ููŠ ุงู„ุญุงู„ุชูŠู† ุฃู†ุง ุนู…ุงู„
924
+
925
+ 232
926
+ 00:19:38,520 --> 00:19:43,800
927
+ ุจุฎู„ูŠ ุงู„ู€ C double bond O CH2 ุจุณ ู…ุงุจุชุฑูˆุญุด ู‡ุฐุงุŒ
928
+
929
+ 233
930
+ 00:19:43,800 --> 00:19:49,820
931
+ ู…ุงุจู†ุฎุตู…ุด carbonูˆุงุถุญุŸ ูุงู„ ammots are reduced to
932
+
933
+ 234
934
+ 00:19:49,820 --> 00:19:56,380
935
+ amines ุงู„ู…ุฑูƒุจุงุช ุงู„ู„ูŠ ููŠู‡ู… ุจุณ N H2 ู‡ู… ุนุจุงุฑุฉ ุนู† ุงูŠุดุŸ
936
+
937
+ 235
938
+ 00:19:56,380 --> 00:19:59,520
939
+ ุงู„ ammonsุŒ ุจู‡ูŠูƒ ุงุญู†ุง ุจู†ู‚ูˆู„ ุฃุฎุฏู†ุง ุทุฑูŠู‚ุฉ ู„ุชุญุถูŠุฑ ุงู„
940
+
941
+ 236
942
+ 00:19:59,520 --> 00:20:04,240
943
+ ammons ูˆู„ุง ู„ุงุŸ ูŠุนู†ูŠ ู„ู…ุง ู†ุญูƒูŠ ููŠ chapter 11
944
+
945
+ 237
946
+ 00:20:04,240 --> 00:20:10,080
947
+ preparation of ammons ู‡ู†ู‚ูˆู„ by reduction of ammots
948
+
949
+ 238
950
+ 00:20:11,030 --> 00:20:15,510
951
+ ุฅุฐุง ู‡ุฐุง ู‡ูˆ ูŠู…ุซู„ ุจุงู„ู†ุณุจุฉ ู„ู„ุฃู…ุช ุชูุงุนู„ุŒ ุจุณ ุจุงู„ู†ุณุจุฉ
952
+
953
+ 239
954
+ 00:20:15,510 --> 00:20:20,890
955
+ ู„ู„ุฃู…ูŠู† ุทุฑูŠู‚ุฉ ุชุญุถูŠุฑุŒ ุจุงู„ู†ุณุจุฉ ู„ู„ุฃู…ุช ู‡ูˆ ุชูุงุนู„ุŒ
956
+
957
+ 240
958
+ 00:20:20,890 --> 00:20:24,190
959
+ ุจุงู„ู†ุณุจุฉ ู„ู„ุฃู…ูŠู† ู‡ูˆ ุทุฑูŠู‚ุฉ ุชุญุถูŠุฑ
960
+
961
+ 241
962
+ 00:20:25,870 --> 00:20:33,390
963
+ ุงู„ุงู† ู‡ุฐุง ุงู„ slide ุจุชูุฑุฌูŠูƒูˆุง ุจุนุถ ุงู„ุฃุฏูˆูŠุฉ ุงู„ู„ู‰ ููŠู‡ุง
964
+
965
+ 242
966
+ 00:20:33,390 --> 00:20:38,630
967
+ ู…ู† ู…ุดุชู‚ุงุช ุงู„ุฃุญู…ุงุถ ุญุชู‰ ุชุดูˆููˆุง ุงู†ู‡ ู…ุด ุงู„ูƒูŠู…ูŠุง ุจุณ
968
+
969
+ 243
970
+ 00:20:38,630 --> 00:20:43,750
971
+ ุฑู…ูˆุฒ ู„ูƒู†ู‡ุง ุฃุดูŠุงุก ุนู„ู‰ ุฃุฑุถุงู„ูˆุงู‚ุน ูŠู…ูƒู† ู‡ุฐุง ุงู„ู…ุฑูƒุจ
972
+
973
+ 244
974
+ 00:20:43,750 --> 00:20:48,430
975
+ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุฃุณุฏ ูˆู‡ู†ุง E star ุงู„
976
+
977
+ 245
978
+ 00:20:48,430 --> 00:20:52,850
979
+ principle I see the word OOR ู‡ุฐุง E star ูˆู‡ุฐุง ุฃุณุฏ
980
+
981
+ 246
982
+ 00:20:52,850 --> 00:20:58,390
983
+ ู‡ุฐุง ุงู„ Aspirin ุงู„ู„ูŠ ุณู…ูŠู†ุงู‡ ุฃุณุฏ ุงู„ salicylic acid
984
+
985
+ 247
986
+ 00:20:58,390 --> 00:21:02,870
987
+ ุงู„ุฃุณุจุฑูŠู† ูˆุงู„ุฃุณุจุฑูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ analgesics ุฃูˆ ุงู„
988
+
989
+ 248
990
+ 00:21:02,870 --> 00:21:11,220
991
+ pain killer ุงู„ู„ูŠ ู‡ูˆ ู‚ุงุชู„ ูŠุนู†ูŠ ุจูŠุดูŠู„ ุงู„ุฃู„ู…ุงู„ุชุงู†ู‰
992
+
993
+ 249
994
+ 00:21:11,220 --> 00:21:17,540
995
+ ุงู„ู„ู‰ ุจูŠู…ุฑ ุนู„ูŠู†ุง ูƒุชูŠุฑ ุงู„ู„ู‰ ู‡ูˆ ุงู„ acetaminophen ูˆ
996
+
997
+ 250
998
+ 00:21:17,540 --> 00:21:22,620
999
+ ู‡ุฐุง ุฅู„ู‡ ุฃุณู…ุงุก ูƒุชูŠุฑุฉ ูˆ ุฏูˆุฉ ูŠู…ูƒู† ู…ุงุญุฏุด ุดู†ุทู‡ ู…ุงุจูƒูˆู†ุด
1000
+
1001
+ 251
1002
+ 00:21:22,620 --> 00:21:30,110
1003
+ ููŠู‡ุง ู…ู†ู‡ุงู„ู„ูŠ ู‡ูˆ ุงู„ Acamol Acamol ุจู†ุงุฏูˆู„ Tylenol ูƒู„
1004
+
1005
+ 252
1006
+ 00:21:30,110 --> 00:21:36,470
1007
+ ุฏูˆู„ุฉ ุจุทุฑูŠู‚ุชู‡ุง ู„ูƒู† ุงู„ุงุณู… ุงู„ุนู„ู…ูŠ ุชุจุนู‡ Acetaminophen
1008
+
1009
+ 253
1010
+ 00:21:36,470 --> 00:21:41,690
1011
+ ู„ูŠุดุŸ ู„ุฅู† ู‡ุฐุง Amino ููŠู†ูˆู„ ุจุงู„ุงุตู„ ูŠุนู†ูŠ ู„ู…ุง ู†ุงุฎุฏ
1012
+
1013
+ 254
1014
+ 00:21:41,690 --> 00:21:47,490
1015
+ ุงู„ุจู†ุฒูŠู† ูˆ OH ู‡ุฐุง ููŠู†ูˆู„ ู„ู…ุง ูŠูƒูˆู† ู‡ู†ุง ู†ุชุด ุชูˆ Amino
1016
+
1017
+ 255
1018
+ 00:21:47,490 --> 00:21:52,890
1019
+ ุญุทูŠู†ุง Acetyl ุฃู‡ ูุจุชุตูŠุฑ Acetaminophen
1020
+
1021
+ 256
1022
+ 00:21:55,190 --> 00:22:01,090
1023
+ ุฃู…ูŠู†ูˆููŠู†ูˆุฑ ููƒู„ู‡ ุจูŠุณู…ูˆู‡ ุฃุณูŠุชุงู…ูŠู†ูˆููŠู† ุนุฑูุชูˆุง ูƒูŠู
1024
+
1025
+ 257
1026
+ 00:22:01,090 --> 00:22:05,990
1027
+ ุงู„ุงุณู… ุฌุงูŠุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ Acamol ุฃุณูŠุชุงู…ูŠู†ูˆููŠู†ูˆุฑ ู‡ุฐุง
1028
+
1029
+ 258
1030
+ 00:22:05,990 --> 00:22:12,410
1031
+ ููŠู†ุงุณุชูŠู† ุจุฑุถู‡ pain killer ูˆ ุจู†ูุณ ุงู„ูˆู‚ุช ุจู†ุณู…ูŠู‡
1032
+
1033
+ 259
1034
+ 00:22:12,410 --> 00:22:21,090
1035
+ antibiotic antibiotic ุงู„ุงุดูŠุงุก ุงู„ู…ุฎูุถุฉ ู„ู„ุญุฑุงุฑุฉูˆุงุถุญุŸ
1036
+
1037
+ 260
1038
+ 00:22:21,090 --> 00:22:24,570
1039
+ ูŠุนู†ูŠ ุฏุงูŠู…ุง ุฅู†ุชูˆุง ู„ู…ุง ุงู„ุตุบุงุฑ ุงู„ู„ูŠ ุนู†ุฏูƒู… ูŠุณุฎู†ูˆุงุŒ ุดูˆ
1040
+
1041
+ 261
1042
+ 00:22:24,570 --> 00:22:29,190
1043
+ ุจุฏูƒู… ุชุนุทูˆู‡ู…ุŸ AntibioticุŒ ู‡ูŠ ุฃูƒุงู…ูˆู„ุŒ ู‡ูŠ ุฃูƒุงู…ูˆู„ุŒ
1044
+
1045
+ 262
1046
+ 00:22:29,190 --> 00:22:33,310
1047
+ ุงู„ุชุญู…ูŠู„ ู‡ูŠ ุฃูƒุงู…ูˆู„ุŒ ูˆุงุถุญุŸ ุจุณ ู„ุฅู† ุงู„ูˆู„ุฏ ุงู„ุตุบูŠุฑ ู…ุง
1048
+
1049
+ 263
1050
+ 00:22:33,310 --> 00:22:40,910
1051
+ ุจูŠุจู„ุนุด ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ูุจุชุนุทูˆู‡ ุงู„ antibiotic ูˆุฏุงูŠู…ุง
1052
+
1053
+ 264
1054
+ 00:22:40,910 --> 00:22:49,120
1055
+ biotic ูƒู„ู…ุฉ ู…ุฑุชุจุทุฉ ุจุงู„ุฅูŠุดุจุงู„ุญุฑุงุฑุฉ ุจูŠุฑูˆู„ูŠุณูŠ ู…ุซู„ุง
1056
+
1057
+ 265
1058
+ 00:22:49,120 --> 00:22:55,900
1059
+ ุฅูŠุด ู…ุนู†ุงู‡ ุจูŠุฑูˆู„ูŠุณูŠ ุจูŠุฑูˆู„ูŠุณูŠ
1060
+
1061
+ 266
1062
+ 00:22:55,900 --> 00:22:58,220
1063
+ ุงู„ุชูƒุณุฑ ุจุงู„ุญุฑุงุฑุฉ
1064
+
1065
+ 267
1066
+ 00:23:02,080 --> 00:23:06,440
1067
+ ูˆุงุถุญุŸ ูŠู…ูƒู† .. ูŠู…ูƒู† ู„ุงุญุธุช ุฃู† ุจุนุถ ุงู„ู†ุงุณ .. ุฃู† ุจุนุถ
1068
+
1069
+ 268
1070
+ 00:23:06,440 --> 00:23:12,720
1071
+ ุงู„ู†ุงุณ ุจูŠุฎุฑุจุทูˆุง ุจูŠู† ูƒู„ู…ุชูŠู† ุจุงู„ู„ุบุฉ ุงู„ุนุฑุจูŠุฉ ูุจูŠู„ูุธูˆุง
1072
+
1073
+ 269
1074
+ 00:23:12,720 --> 00:23:19,720
1075
+ ูƒู„ู…ุฉ ุจุบูŠุฑ ู…ุง ูŠุฌุจ ุฃู† ุชู„ูุธ ุจู‡ ูุงู„ุฌู‡ุงุฒ ุจุชุงุน ุงู„ุบูˆุงุตุฉ
1076
+
1077
+ 270
1078
+ 00:23:19,720 --> 00:23:24,520
1079
+ .. ุงู„ุฌู‡ุงุฒ ุงู„ุบูˆุงุตุฉ ุงู„ู„ูŠ ููŠู‡ ู…ุฑุงูŠุชูŠู† ูˆุจูŠุดูˆููˆุง ููŠู‡ ู…ู†
1080
+
1081
+ 271
1082
+ 00:23:24,520 --> 00:23:30,540
1083
+ ุงู„ุฃุนู…ุงู‚ ู„ููˆู‚ ุฃูˆ ุชุญุชุŒ ุดูˆ ุจูŠุณู…ูˆู‡ุŸุจุงู„ุธุจุท ู‡ูŠ ุงู„ุบู„ุท ุงู†ูƒ
1084
+
1085
+ 272
1086
+ 00:23:30,540 --> 00:23:37,220
1087
+ ุชู‚ูˆู„ ุจูŠุฑูˆุณูƒูˆุจ ุจูŠุฑูˆุณูƒูˆุจ ุงู„ ุจูŠุฑูˆุณูƒูˆุจ ุฌู‡ุงุฒ ู‚ูŠุงุณ ุญุฑุงุฑุฉ
1088
+
1089
+ 273
1090
+ 00:23:37,220 --> 00:23:42,260
1091
+ ุชุงู†ูŠ ูู„ุงุญุธูˆุง ุงู†ุชูˆุง ุจุงู„ุนุฑุจูŠ ุจุชูƒุชุจูˆุง ุฒูŠ ู‡ูŠ ุจูŠุฑูˆุณูƒูˆุจ
1092
+
1093
+ 274
1094
+ 00:23:42,260 --> 00:23:46,220
1095
+ ุชุจุน ุงู„ู…ุฑุงูŠุงุช ูˆ ุงู„ู„ูŠ ุจู†ุดูˆู ููŠู‡ ุงู„ู„ูŠ ุจู†ุณุชุนู…ู„ู‡
1096
+
1097
+ 275
1098
+ 00:23:46,220 --> 00:23:48,680
1099
+ ุจุงู„ุบูˆุงุตุฉ ูˆ ุงู„ุญุฑุงุฑุฉ ุนุงุฑููŠู†ู‡ ุงู„ู„ูŠ ููŠู‡ ู…ุฑุงูŠุชูŠู†
1100
+
1101
+ 276
1102
+ 00:23:48,680 --> 00:23:54,560
1103
+ ู…ุชุนุงูƒุณุงุช ู‡ุฐุง ุจูŠุฑูˆุณูƒูˆุจ ุงู„ ุจูŠุฑูˆุณูƒูˆุจ ุฌู‡ุงุฒ ุชุงู†ูŠ ู„ู‡
1104
+
1105
+ 277
1106
+ 00:23:54,560 --> 00:24:00,260
1107
+ ุนู„ุงู‚ุฉ ุจุงู„ุญุฑุงุฑุฉุจู‡ู…ุดุŒ ุฃู†ุง ู„ูŠุด ุจู†ุจุฎุŸ ุนู„ู‰ ุฃุณุงุณ ุฃู†ู‡
1108
+
1109
+ 278
1110
+ 00:24:00,260 --> 00:24:04,460
1111
+ ุฅู†ุชูˆุง ู„ู…ุง ุชู‚ูˆู„ูˆู‡ุง ู…ุง ุชู‚ูˆู„ูˆุด ุจูŠุฑูˆุณูƒูˆุจ ุจูŠุฑูˆ ุญุฑุงุฑูŠุŒ
1112
+
1113
+ 279
1114
+ 00:24:04,460 --> 00:24:10,960
1115
+ antibiotic ู…ุถุงุฏ ู„ู„ุญุฑุงุฑุฉ ุฅูŠุด ูŠุนู†ูŠ fever reducerุŸ
1116
+
1117
+ 280
1118
+ 00:24:10,960 --> 00:24:17,320
1119
+ ุฅูŠุด ุงู„ feverุŸ ุงู„ุญู…ู‘ุฉ ูˆู‚ุฏ ุชูˆููŠ ูŠุง ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰
1120
+
1121
+ 281
1122
+ 00:24:17,320 --> 00:24:24,650
1123
+ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ุจุงู„ุญู…ู‘ุฉ ูˆู„ุง ู…ุง ุจุชุนุฑููˆุด ุงู„ุญูƒูŠุŸููŠ
1124
+
1125
+ 282
1126
+ 00:24:24,650 --> 00:24:29,710
1127
+ ุฃู…ุซู„ุฉ ุฅุถุงููŠุฉ ูˆู‡ูŠ ุฃุฎุฑ ุงู„ู€ slide ุฌุฒุก ู…ู† ุงู„ู€
1128
+
1129
+ 283
1130
+ 00:24:29,710 --> 00:24:35,510
1131
+ Pheromones ู…ุฑุช ุนู„ูŠูƒู… ูƒู„ู…ุฉ Pheromones ุงู„ู€
1132
+
1133
+ 284
1134
+ 00:24:35,510 --> 00:24:41,830
1135
+ Pheromonุงุช ุจุงู„ุนุฑุจูŠ ุงู„ู„ูŠ ู‡ูŠ ุฎู„ู‘ูŠู†ุง ู†ู‚ูˆู„ ุงู„ู…ู†ุจู‡ุงุชู‡ูŠ
1136
+
1137
+ 285
1138
+ 00:24:41,830 --> 00:24:47,190
1139
+ ู…ูˆุงุฏ ู…ู†ุจู‡ุฉ ุชูุฑุฒู‡ุง ุงู„ุญุดุฑุงุช ู„ู„ุชูˆุงุตู„ุŒ ุฃูŠู‹ุง ูƒุงู† ู†ูˆุน
1140
+
1141
+ 286
1142
+ 00:24:47,190 --> 00:24:50,890
1143
+ ุงู„ุชูˆุงุตู„ุŒ ุบุงู„ุจู‹ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชูˆุงุตู„ ุงู„ุฌู†ุณูŠ ุจูŠู† ุงู„ุฐูƒูˆุฑ
1144
+
1145
+ 287
1146
+ 00:24:50,890 --> 00:24:56,010
1147
+ ูˆุงู„ุฅู†ุงุซุŒ ุจูŠูุฑุฒูˆุง ูุฑู…ูˆู†ุงุชุŒ ูˆู‡ุฐุง ูŠุนู†ูŠ ู„ุงุญุธูˆุง ุงู„ุนู„ู…ุงุก
1148
+
1149
+ 288
1150
+ 00:24:56,010 --> 00:25:00,410
1151
+ ู„ู…ุง ุจูŠูู‡ู…ูˆุง ุฃูŠ ุดุบู„ุฉุŒ ุณุจุญุงู† ุงู„ู„ู‡ุŒ ุจูŠุนู…ู„ูˆู„ู‡ุง ุฅูŠุด
1152
+
1153
+ 289
1154
+ 00:25:00,410 --> 00:25:05,230
1155
+ ุนุทูˆู„ุŸุชุทุจูŠู‚ .. ุจูŠุนู…ู„ูˆู„ู‡ ุชุทุจูŠู‚ .. ุงู„ู†ู…ู„ ู†ูุณู‡ ู„ู…ุง
1156
+
1157
+ 290
1158
+ 00:25:05,230 --> 00:25:08,870
1159
+ ุจูŠู„ุชู‚ูŠ ู…ุน ุจุนุถู‡ ูˆ ูƒูŠู ุจูŠุฏูŠู„ ุจุนุถ ุนู„ู‰ ุงู„ุทุฑู‚ ูˆ ู…ุง ุฅู„ู‰
1160
+
1161
+ 291
1162
+ 00:25:08,870 --> 00:25:12,910
1163
+ .. ุจุฑุถู‡ ุจูŠูุฑุณ ููŠ ุฑูˆู…ูˆู†ุงุช .. ุงู„ุขู† ุงู„ุจู†ูŠ ุฃุฏู…ูŠู†
1164
+
1165
+ 292
1166
+ 00:25:12,910 --> 00:25:16,230
1167
+ ู…ุนุฑูˆููŠู† ุณุงูƒู†ูŠู† ููŠ ุฏูˆุฑู‡ ุจูŠุนุฑููˆุง ุจุนุถ ุฃุจูˆ ู…ุญู…ุฏ ูˆ
1168
+
1169
+ 293
1170
+ 00:25:16,230 --> 00:25:20,330
1171
+ ุงู„ุงุฎุฑูŠ .. ู„ูƒู† ุงู†ุชูˆุง ุชุฎูŠู„ูˆุง ุงู„ุญุดุฑุงุช ู„ู…ุง ู†ูƒูˆู† ุงุญู†ุง
1172
+
1173
+ 294
1174
+ 00:25:20,330 --> 00:25:25,150
1175
+ ุจูุถุงุก ูƒุจูŠุฑ ูˆุงุณุนูˆููŠ ู†ู‡ุงูŠุฉ ุงู„ุญุดุฑุงุช ุจุฏุฃูˆุง ูŠุชู… ููŠู‡ุง
1176
+
1177
+ 295
1178
+ 00:25:25,150 --> 00:25:29,110
1179
+ ุชุฒุงูˆุฌ ูˆุชุงูŠู‡ุง ููŠ ุจุนุถ ููŠ ุงู„ูุถุงุก ูุจุชู„ุงู‚ูˆุง ุฃุญุฏ ุงู„ุฃุตู†ุงู
1180
+
1181
+ 296
1182
+ 00:25:29,110 --> 00:25:32,410
1183
+ ุณูˆุงุก ูƒุงู† ุงู„ุฐูƒูˆุฑ ุฃูˆ ุงู„ุฅู†ุงุซ ุจูŠูุฑุฒ ุฑูˆุงุฆุญ ู…ุนูŠู†ุฉ ุจูŠุญุณ
1184
+
1185
+ 297
1186
+ 00:25:32,410 --> 00:25:35,930
1187
+ ููŠู‡ุง ุงู„ุตู†ู ุงู„ุชุงู†ูŠ ุงู„ุขู† ูƒูŠู ุจูŠุฆูŠุง ุงุณุชูุงุฏูˆุง ู…ู† ู‡ุฐู‡
1188
+
1189
+ 298
1190
+ 00:25:35,930 --> 00:25:36,570
1191
+ ุงู„ููƒุฑุฉุŸ
1192
+
1193
+ 299
1194
+ 00:25:39,030 --> 00:25:43,410
1195
+ ุจุฏู„ ู…ุง ูŠุฌูˆุง ูŠู‚ุชู„ูˆุง ุงู„ุญุดุฑุฉ ุจุงู„ุฑุด ุญุถุฑูˆุง ุงู„ููŠุฑูˆู…ูˆู†ุงุช
1196
+
1197
+ 300
1198
+ 00:25:43,410 --> 00:25:47,830
1199
+ ูƒูŠู…ูŠุฉุŒ ู‡ุงูŠ ู…ุซุงู„ ู„ููŠุฑูˆู…ูˆู† ู…ุซู„ุงุŒ Isoamil acetateุŒ
1200
+
1201
+ 301
1202
+ 00:25:47,830 --> 00:25:53,230
1203
+ ุจูŠุณู…ูˆู‡ honey bee alarmุŒ ู…ู†ุจู‡ ู„ู„ู†ุญู„ ู…ุซู„ุง ุฃูˆ ู‡ุฐุง
1204
+
1205
+ 302
1206
+ 00:25:53,230 --> 00:26:00,510
1207
+ ู„ุฏูˆุฏุฉ ู…ุนูŠู†ุฉุงู„ููŠุฑูˆู…ูˆู† ุจูŠุฌูŠุจ ุงู„ุฌู†ุณ ุงู„ุขุฎุฑ ุงู„ุขู† ู‡ุฐู‡
1208
+
1209
+ 303
1210
+ 00:26:00,510 --> 00:26:03,930
1211
+ ุงู„ู…ุฑุงูƒุจุงุช ุญุถุฑูˆู‡ุง ููŠ ุงู„ู…ุฎุชุจุฑ ุจุนุฏ ู…ุง ุญุถุฑูˆู‡ุง ูƒู„ ุงู„ู„ูŠ
1212
+
1213
+ 304
1214
+ 00:26:03,930 --> 00:26:09,950
1215
+ ุจูŠู„ุฒู…ู‡ู… ุงู„ู‚ุงุชู„ ุจูŠุฌูŠุจูˆุง ุนูˆุฏ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจูŠุญุทูˆุง ุนู„ูŠู‡
1216
+
1217
+ 305
1218
+ 00:26:09,950 --> 00:26:18,270
1219
+ ุณู…ู‚ ูˆุดูˆูŠุฉ ููŠุฑูˆู…ูˆู† ูˆุจูŠ๏ฟฝ๏ฟฝุทูˆู‡ ุจุงู„ุญู‚ู„ ุฒูŠ ู‡ูŠูƒ ุจูŠุฌุฐุจ ูƒู„
1220
+
1221
+ 306
1222
+ 00:26:18,270 --> 00:26:21,970
1223
+ ุงู„ุญุดุฑุงุช ุจุชูŠุฌูŠ ุงูŠุด ุจุชู„ุงุฒุฌ ุจุงู„ุณู…ู‚ ู„ุง ุจุฑุด ู…ุจูŠุฏุงุช
1224
+
1225
+ 307
1226
+ 00:26:21,970 --> 00:26:27,260
1227
+ ุญุดุฑูŠุฉ ูˆู„ุง ู…ุง ูŠุญุฒู†ูˆู†ุดูˆูุชูˆุง ูƒูŠูุŸ ู‡ุฐุง ุจูŠุณู…ูˆู‡ุง ู…ูƒุงูุญุฉ
1228
+
1229
+ 308
1230
+ 00:26:27,260 --> 00:26:33,020
1231
+ ู†ุธูŠูุฉ ุฃูˆ ุญูŠูˆูŠุฉ ุฃูˆ ุจูŠุฆูŠุฉ ุจุฏู„ ู…ุง ูŠุฑุดูˆุง ุงู„ pesticides
1232
+
1233
+ 309
1234
+ 00:26:33,020 --> 00:26:39,560
1235
+ ุงู„ู„ูŠ ู‡ูŠ DDT ูˆุบูŠุฑู‡ ูˆ ูŠูƒูˆู† ููŠู‡ุง ูƒู„ูˆุฑูŠู† ูˆ ููˆุณููˆุฑ ุฒูŠ
1236
+
1237
+ 310
1238
+ 00:26:39,560 --> 00:26:44,360
1239
+ ุงู„ุบุงุฒุงุช ุงู„ู…ุซูŠู„ุฉ ู„ู„ุฏู…ูˆุน ูˆ ุฅุดูŠ ู…ุง ูŠู‚ู„ .. ูŠู…ูƒู† ุงุนู…ู„ู†ุง
1240
+
1241
+ 311
1242
+ 00:26:44,360 --> 00:26:48,930
1243
+ ุงุญู†ุง ู…ุญุงุถุฑุฉ ุนู† ุงู„ ..ุงู„ุบุงุฒุงุช ุงู„ุณุงู…ุฉ ูˆุบูŠุฑู‡ุงุŒ ู…ุนุธู…
1244
+
1245
+ 312
1246
+ 00:26:48,930 --> 00:26:52,850
1247
+ ุงู„ู…ุจูŠุถุงุช ุงู„ุญุดุฑูŠุฉ ู‡ูŠ ูƒู„ูˆุฑูŠู†ูŠุฉ ููŠ ุงู„ุบุงู„ุจุŒ ูŠุนู†ูŠ ููŠู‡ุง
1248
+
1249
+ 313
1250
+ 00:26:52,850 --> 00:26:56,350
1251
+ ูƒู„ูˆุฑูŠุงุŒ ููˆุณููˆุฑูŠุฉุŒ ููŠู‡ุง ููˆุณููˆุฑุŒ ุงู„ุขู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ
1252
+
1253
+ 314
1254
+ 00:26:56,350 --> 00:27:02,090
1255
+ ู†ุณุจูŠุง ุชุนุชุจุฑ ุฅูŠุดุŸ ูŠุนู†ูŠ ุฃูƒุซุฑ ุตุฏุงู‚ุฉุŒ ุฎู„ู‘ูŠู†ุง ู†ู‚ูˆู„ ู…ุน
1256
+
1257
+ 315
1258
+ 00:27:02,090 --> 00:27:12,530
1259
+ ุงู„ุจูŠุฆุฉุŒ ุฅุจู‡ูŠูƒ ุจู†ู†ุชู‡ูŠ ู…ู† ู‡ุฐุง ุงู„ูุตู„ุŒ ุจู†ู†ุชู‚ู„ ุนู„ู‰ ุทูˆู„
1260
+
1261
+ 316
1262
+ 00:27:12,530 --> 00:27:18,980
1263
+ ุทุจุนุงู„ุฃู† ุฃู†ุง ุจุญุงุฌุฉ ู„ูƒู„ ุฏู‚ูŠู‚ุฉ ุฅู„ู‰ ุงู„ูุตู„ ุงู„ุฃุฎูŠุฑ ุงู„ู„ูŠ
1264
+
1265
+ 317
1266
+ 00:27:18,980 --> 00:27:24,180
1267
+ ู‡ูˆ ุงู„ amines ุฃู†ุง ู…ุด ุนุงุฑู ุจุงู„ู…ู†ุงุณุจุฉ ูŠุนู†ูŠ ุฃู†ุง ุจุฏุฑุณ
1268
+
1269
+ 318
1270
+ 00:27:24,180 --> 00:27:28,680
1271
+ ุงู„ organic ู„ู„ุทุจ ุนุงุฏุฉ ุจุฎู„ุต ุงู„ amines ููŠ ุงู„ุฃุณุจูˆุน
1272
+
1273
+ 319
1274
+ 00:27:28,680 --> 00:27:32,540
1275
+ ุงู„ุณุงุจุน ูˆ ุจูŠุงุฎุฏูˆุง ุฃุฑุจุน ุดุจุงุชุฑ biochemistry ุฒูŠุงุฏุฉ
1276
+
1277
+ 320
1278
+ 00:27:32,540 --> 00:27:38,360
1279
+ ุญูˆุงู„ 150 ุตูุญุฉู„ุฃ ู„ุฃ ู…ุด ุฃุดุทุฑ ู…ู†ูƒูˆุง ูˆ ุงู„ู„ู‡ ู„ุฃ ู„ุฃ
1280
+
1281
+ 321
1282
+ 00:27:38,360 --> 00:27:40,700
1283
+ ุงู†ุชูˆุง ูƒุชูŠุฑ ู…ู†ูƒู… ุจุชุฌูŠุจ ุนู„ุงู…ุฉ ูƒุงู…ู„ุฉ ูˆ ู…ู…ูƒู† ู…ู†ู‡ู…
1284
+
1285
+ 322
1286
+ 00:27:40,700 --> 00:27:43,080
1287
+ ุชู†ุชูŠู† ุจูŠุฌูŠุจูˆุง ุนู„ุงู…ุงุช ูƒุงู…ู„ุฉ ูˆ ุงู„ุจุงู‚ูŠู† ู…ู…ูƒู† ูŠุฌูŠุจูˆุง
1288
+
1289
+ 323
1290
+ 00:27:43,080 --> 00:27:48,320
1291
+ ุณุชูŠู† ูˆ ุฎู…ุณูŠู† ูˆ ูŠูˆุฑุณ ูˆ ุจุฐุงูƒ ูˆ ุฐุงูƒ ูˆ
1292
+
1293
+ 324
1294
+ 00:27:48,320 --> 00:27:51,040
1295
+ ุจุนุฏูŠู† ู‡ู… ุจุชุบู„ุจูˆุง ุณุจุน ุณู†ูŠู† ูˆ ุจูŠู„ุงู‚ูˆุง ุงู„ุดุบู„ ุงู†ุชูˆุง
1296
+
1297
+ 325
1298
+ 00:27:51,040 --> 00:27:55,920
1299
+ ุจุนุฏ ุฃุฑุจุน ุณู†ูŠู† ุจุชู„ุงู‚ูˆุง ูˆุธูŠูุฉ ุงู„ุดูŠุก
1300
+
1301
+ 326
1302
+ 00:27:55,920 --> 00:28:00,200
1303
+ ุงู„ู…ุคูƒุฏ ุงู† ูƒู„ ุฎุฑูŠุฌูŠู† ุทุจุนุง ุจุงู„ุฐุงุช ุงู„ุชุฎุตุตุงุช ุงู„ุชุฏุฑุณูŠุฉ
1304
+
1305
+ 327
1306
+ 00:28:00,200 --> 00:28:06,440
1307
+ ูƒูŠู…ูŠุง ููŠุฒูŠุง ู‡ุฏูˆู„ุฉ ุจูŠู„ุงู‚ูˆุง ูˆุธุงุฆูุชุฑุจูŠ ุนู„ูˆู…ุŒ ุจุชู„ุงู‚ูŠ
1308
+
1309
+ 328
1310
+ 00:28:06,440 --> 00:28:14,260
1311
+ ูˆุธุงุฆูุŒ ุชุญุงู„ูŠู„ ุทุจูŠุฉ ุฃู‚ู„. ุงู„ุขู† ู†ุฌูŠ ุนู„ู‰ ุงู„ู…ูˆุถูˆุน
1312
+
1313
+ 329
1314
+ 00:28:14,260 --> 00:28:19,640
1315
+ ุงู„ุฌุฏูŠุฏ ุชุจุนู†ุง ุงู„ Amines ุงู„ Amines ู‡ู… ู…ุดุชู‚ุงุชุŒ
1316
+
1317
+ 330
1318
+ 00:28:19,640 --> 00:28:24,240
1319
+ ุงู†ุชุจู‡ูˆุง ู…ุนูŠุŒ ุงู„ Amines ู‡ู… ู…ุดุชู‚ุงุช ุงู„ุฃู…ูˆู†ูŠุงุŒ ูŠุนู†ูŠ
1320
+
1321
+ 331
1322
+ 00:28:24,240 --> 00:28:29,420
1323
+ ุฃุจุณุท ู…ู† ู†ุงุญูŠุฉ ุงู„ู…ุจุฏุฃ ูƒุฃู†ู‡ ุฃุจุณุท ู…ุฑูƒุจ ุนู†ุฏู‡ ุงู„ุฃู…ูˆู†ูŠุงุŒ
1324
+
1325
+ 332
1326
+ 00:28:29,420 --> 00:28:35,450
1327
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„H3 ุทุจุนุง ุงู„ุฃู…ูˆู†ูŠุง ู…ุง ุจู†ุนุชุจุฑู‡ุงุด organic
1328
+
1329
+ 333
1330
+ 00:28:35,450 --> 00:28:41,790
1331
+ compound ู„ุฃู†ู‡ ู…ุงููŠุด ููŠู‡ุง carbon ู„ูƒู† ู…ู…ูƒู† ุฃุจุฏู„ H
1332
+
1333
+ 334
1334
+ 00:28:41,790 --> 00:28:48,350
1335
+ ูˆุงุญุฏุฉ ู…ู†ู‡ุง ุจR ูŠุตูŠุฑ R on H2 ู…ู…ูƒู† ุฃุจุฏู„ ุชู†ุชูŠู† ุจR ูŠุตูŠุฑ
1336
+
1337
+ 335
1338
+ 00:28:48,350 --> 00:28:53,530
1339
+ R2 on H3 ู…ู…ูƒู† ุฃุจุฏู„ ุชู„ุงุชุฉ ุจR ูŠุตูŠุฑ R3 on H3 ูˆู…ู…ูƒู†
1340
+
1341
+ 336
1342
+ 00:28:53,530 --> 00:28:58,950
1343
+ ุนู„ู‰ ุฒูˆุฌ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช ุงู„ู„ูŠ ู…ุงุฒุงู„ ู…ูˆุฌูˆุฏ ู‡ู†ุงู„ุฃู† ููŠ ูƒู„
1344
+
1345
+ 337
1346
+ 00:28:58,950 --> 00:29:03,050
1347
+ ุงู„ุฃุญูˆุงู„ ุงู„ู€ nitrogen ุนู„ูŠู‡ุง ุฅูŠุดุŸ ุฒูˆุฌ ู…ู† ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช
1348
+
1349
+ 338
1350
+ 00:29:03,050 --> 00:29:06,210
1351
+ ุฃุญุท ุงู„ R ุงู„ุฑุงุจุนุฉ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ุจุชุตูŠุฑ ุงู„ nitrogen
1352
+
1353
+ 339
1354
+ 00:29:06,210 --> 00:29:10,910
1355
+ ู…ูˆุฌุจุฉ ูˆ ุจุชุงุฎุฏ ุฌู†ุจ ุฃูŠูˆู† ุณุงู„ุจ ูุจุตูŠุฑ ุนู†ุฏูŠ ุงู„ ammonia
1356
+
1357
+ 340
1358
+ 00:29:10,910 --> 00:29:17,450
1359
+ ุงู„ primary amine ุงู„ู„ูŠ ููŠู‡ un-H2 secondary amine
1360
+
1361
+ 341
1362
+ 00:29:17,450 --> 00:29:22,490
1363
+ ุงู„ู„ูŠ ููŠู‡ un-H tertiary amine ุงู„ู„ูŠ ููŠู‡ un ู„ุญุธุฉ
1364
+
1365
+ 342
1366
+ 00:29:22,490 --> 00:29:28,570
1367
+ quaternary amineุฑุจุงุนูŠ ูŠุนู†ูŠ ูŠุนู†ูŠ ู…ุชุตู„ ุจุงุฑุจุนุฉ R ุงู„ู„ูŠ
1368
+
1369
+ 343
1370
+ 00:29:28,570 --> 00:29:33,830
1371
+ ููŠู‡ ุงู„ู€N positive ูˆุงู„ุฃู…ูŠู†ุฒ ุฃู†ุชูˆุง ุนุงุฑููŠู† ุฃู†ู‡ ุฃุณุงุณูŠุฉ
1372
+
1373
+ 344
1374
+ 00:29:33,830 --> 00:29:37,330
1375
+ ููŠ ุฌุณู… ุงู„ุฅู†ุณุงู† ููŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ููŠ ุงู„ RNA ููŠ ุงู„ DNA
1376
+
1377
+ 345
1378
+ 00:29:37,330 --> 00:29:42,130
1379
+ ูŠุนู†ูŠ ูƒู„ ุฅุดูŠ ููŠ ุงู„ biology ุจุชู„ุงู‚ูˆุง ููŠู‡ ุฏุงูŠู…ุง ุฅูŠุด
1380
+
1381
+ 346
1382
+ 00:29:42,130 --> 00:29:47,870
1383
+ ู†ูŠุชุฑูˆุฌูŠู† ุจุชู„ุงู‚ูˆุง ููŠู‡ ู†ูŠุชุฑูˆุฌูŠู† ุณูˆุงุก ุฃู…ูŠู† ุฃูˆ ุฃู…ุฏ ููŠ
1384
+
1385
+ 347
1386
+ 00:29:47,870 --> 00:29:53,270
1387
+ ุงู„ุขุฎุฑ ุจุงู„ู…ู†ุงุณุจุฉ ู‡ูˆ ุงู„ุฃู…ุฏ ุฒูŠ ู…ุง ุงุญู†ุง ู‚ูˆู„ู†ุง ุงู„ู†ูŠู„ูˆู†
1388
+
1389
+ 348
1390
+ 00:29:55,700 --> 00:29:59,660
1391
+ unreactive ุดูˆ ุงู„ุฃู…ุฏ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ูƒุชูŠุฑ ู…ุดู‡ูˆุฑ
1392
+
1393
+ 349
1394
+ 00:29:59,660 --> 00:30:02,840
1395
+ ูˆunreactive
1396
+
1397
+ 350
1398
+ 00:30:02,840 --> 00:30:11,340
1399
+ ูŠุนู†ูŠ ุจูŠุบู„ุจ ู„ู…ุง ูŠุชูƒุณุฑ ุฃุจุฏุง ู„ูŠุด ุชุจุนุฏูˆู‡ ุงู„ุจุฑูˆุชูŠู†ุงุช
1400
+
1401
+ 351
1402
+ 00:30:11,340 --> 00:30:11,960
1403
+ ุงู„ู„ุญู…ุฉ
1404
+
1405
+ 352
1406
+ 00:30:14,400 --> 00:30:18,680
1407
+ ุงู„ุจุฑูˆุชูŠู†ุงุช ู„ูŠุด ุจุชุบู„ุจ ููŠ ุงู„ู‡ุถู… ูˆ ุจุฏูˆุงุฌุฉ ูƒุชูŠุฑ ูˆ ุญุงู…ุถ
1408
+
1409
+ 353
1410
+ 00:30:18,680 --> 00:30:24,540
1411
+ ูˆ ู„ู…ุง ุชุชูƒุณุฑ ู„ุฃู† ุงู„ุจุฑูˆุชูŠู† ู‡ูˆ ุนุจุงุฑุฉ ุนู† ู‚ู…ุฏ ุงู„ุจุฑูˆุชูŠู†
1412
+
1413
+ 354
1414
+ 00:30:24,540 --> 00:30:29,920
1415
+ ุงู„ู„ุญู…ุฉ ู…ูŠู† ุจูŠู‚ุฏุฑ ูŠุงูƒู„ ุงู„ู„ุญู…ุฉ
1416
+
1417
+ 355
1418
+ 00:30:29,920 --> 00:30:35,840
1419
+ ููŠ ุงู„ู„ูŠู„ ุงู„ุณุงุนุฉ 11 ูˆ 12 ูˆ ูŠู†ุงู… ุนู…ู„ูŠุฉ ุตุนุจุฉ ุฌุฏุง ุนู„ู‰
1420
+
1421
+ 356
1422
+ 00:30:35,840 --> 00:30:42,180
1423
+ ุงู„ุจู†ูŠ ุขุฏู… ู„ุฃู†ู‡ ููŠ ุงู„ู‡ุถู… ุจุชุบู„ุจุงู„ู€ Properties of
1424
+
1425
+ 357
1426
+ 00:30:42,180 --> 00:30:46,340
1427
+ Amines ูƒู…ุง ุชุนุฑููˆู† ุฃู† ุงู„ู†ูŠุชุฑูˆุฌูŠู† ู‡ูˆ ุฃุชูˆู… ุฅู„ูƒุชุฑูˆ
1428
+
1429
+ 358
1430
+ 00:30:46,340 --> 00:30:50,860
1431
+ ู†ูŠุฌุงุชูŠู ู…ู† ุงู„ุชู„ุงุชุฉ ุงู„ู…ุดู‡ูˆุฑูŠู† ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆุง
1432
+
1433
+ 359
1434
+ 00:30:50,860 --> 00:30:55,340
1435
+ ุงู„ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏู†ุฌ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุงู„ุฃู…ูŠู† ุจุชุนู…ู„
1436
+
1437
+ 360
1438
+ 00:30:55,340 --> 00:30:59,760
1439
+ ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏู†ุฌ ุฅุฐุง ูƒุงู† ููŠู‡ุง ุฃุชุด ู„ูˆ ูƒุงู†ุช ุฃู…ูŠู† ุจุฏูˆู†
1440
+
1441
+ 361
1442
+ 00:30:59,760 --> 00:31:04,280
1443
+ ุฃุชุด ุฎู„ุงุต ุจุชุจุทู„ ุชุนู…ู„ ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏู†ุฌ ุงู„ู„ูŠ ููŠู‡ุง ุฃุชุด
1444
+
1445
+ 362
1446
+ 00:31:04,280 --> 00:31:08,860
1447
+ ูˆ ุจุชุนู…ู„ ู‡ูŠุฏุฑูˆุฌูŠู† ุจูˆู†ุฏู†ุฌ ุจูŠุตูŠุฑ ููŠู‡ุงHigh boiling
1448
+
1449
+ 363
1450
+ 00:31:08,860 --> 00:31:15,600
1451
+ points ูุงู„ุฃู…ูŠู† ู‡ู…
1452
+
1453
+ 364
1454
+ 00:31:15,600 --> 00:31:21,180
1455
+ ุนุจุงุฑุฉ ุนู† organic bases ู„ุฃู†ู‡ ุฏุงุฆู…ุง ู†ูŠุชุฑูˆุฌูŠู† ุนู„ูŠู‡ุง
1456
+
1457
+ 365
1458
+ 00:31:21,180 --> 00:31:23,180
1459
+ ุฒูˆุฌ ุงู„ุฅู„ูƒุชุฑูˆู†ุงุช
1460
+
1461
+ 366
1462
+ 00:31:26,270 --> 00:31:31,450
1463
+ Electron donor ุจุชุนุทูŠ ุฅู„ูƒุชุฑูˆู†ุงุช ูู…ู† ุฃู‡ู… ุงู„ organic
1464
+
1465
+ 367
1466
+ 00:31:31,450 --> 00:31:35,790
1467
+ bases ุงู„ู„ูŠ ู‡ูŠ ู…ุฑูƒุจุงุช ุงู„ ู†ูŠุชุฑูˆุฌูŠู† ูˆุงุถุญ ู…ุฑูƒุจุงุช ุงู„
1468
+
1469
+ 368
1470
+ 00:31:35,790 --> 00:31:39,690
1471
+ ู†ูŠุชุฑูˆุฌูŠู† ู…ู† ุฃู‡ู… ุงู„ organic bases ุญุชู‰ ุงู„ู…ุฑูƒุจุงุช ุงู„ู„ูŠ
1472
+
1473
+ 369
1474
+ 00:31:39,690 --> 00:31:43,230
1475
+ ุฒูŠ ุงู„ ู†ูŠูƒูˆุชูŠู† ูˆ ุงู„ูƒูุงูŠูŠู† ูˆ ุฅุดูŠ ุจูŠุณู…ูˆู‡ู… ุงู„ูƒู„ูˆูŠุชุณ
1476
+
1477
+ 370
1478
+ 00:31:43,230 --> 00:31:47,430
1479
+ ุงู„ูƒู„ูˆูŠุชุณ ูŠุนู†ูŠ ุงู„ู‚ุงุนุฏูŠู† ู„ูŠุด ู‡ุฏูˆู„ ูŠุนุชุจุฑูˆุง ุงู„ูƒู„ูˆูŠุชุณ
1480
+
1481
+ 371
1482
+ 00:31:47,430 --> 00:31:52,930
1483
+ ุฃูˆ ู‚ุงุนุฏูŠู† ู„ุฃู† ููŠู‡ู… ู†ูŠุชุฑูˆุฌูŠู† ู„ู…ุง ุงู„ูˆุงุญุฏ ูŠุชุทู„ุน ุงู„ุดูƒู„
1484
+
1485
+ 372
1486
+ 00:31:52,930 --> 00:31:59,820
1487
+ ุชุจุนู‡ู…ุงู„ุขู† ู„ูˆ ู‚ู„ู†ุง ูƒูŠู ุจุฏู†ุง ู†ุณู…ูŠ ุงู„ู€ Amines ุงู„ุญู‚ูŠู‚ุฉ
1488
+
1489
+ 373
1490
+ 00:31:59,820 --> 00:32:05,200
1491
+ ููŠ ุฃูƒุชุฑ ู…ู† ุทุฑูŠู‚ุฉ ู„ุชุณู…ูŠุฉ ุงู„ู€ Amine ููŠ ุทุฑู‚ Iopaque
1492
+
1493
+ 374
1494
+ 00:32:05,200 --> 00:32:08,960
1495
+ ูˆููŠ ุทุฑู‚ ู…ุดู‡ูˆุฑุฉ ูˆููŠ ุทุฑู‚ ุญุณุจ ุงู„ู€ Chemical Abstract
1496
+
1497
+ 375
1498
+ 00:32:08,960 --> 00:32:16,040
1499
+ ุฑุจู…ุง ุฃุณู‡ู„ ุงู„ุทุฑู‚ ุฃู†ู‡ ู†ุนุงู…ู„ ุงู„ู€ Amino group ู…ุซู„ ุฃูŠ
1500
+
1501
+ 376
1502
+ 00:32:16,040 --> 00:32:18,860
1503
+ ู…ุฌู…ูˆุนุฉ ุจุชูŠุฌูŠ ุนู„ู‰ ุงู„ุฃู„ูƒูŠู† ูŠุนู†ูŠ ุงู„ุฃู„ูƒูŠู† ู„ู…ุง ุจูŠุฌูŠ
1504
+
1505
+ 377
1506
+ 00:32:18,860 --> 00:32:23,540
1507
+ ุนู„ูŠู‡ ุจุฑูˆู…ุŒ ุฅูŠุด ุจู†ู‚ูˆู„ ุนู†ู‡ุงุŸ ูˆุงู„ุฃู…ูŠู† ู†ู‚ูˆู„ ุนู†ู‡ุง Amino
1508
+
1509
+ 378
1510
+ 00:32:24,120 --> 00:32:29,800
1511
+ ูู†ุนุชุจุฑ ุฃู† ุงู„ุฃุณุงุณ ุงู„ู„ูŠ ุนู†ุฏูƒ ุงู„ุงู„ูƒูŠู† ูˆู‡ุฐู‡ ุฃุฎุฏู‡ุง
1512
+
1513
+ 379
1514
+ 00:32:29,800 --> 00:32:36,500
1515
+ ูƒู…ุฌู…ูˆุนุฉ ุฒูŠ ู…ุง ู‡ุฐู‡ ุงุณู…ู‡ุง Bromo ูˆู‡ุฐู‡ ุงุณู…ู‡ุง Amino
1516
+
1517
+ 380
1518
+ 00:32:36,500 --> 00:32:42,760
1519
+ ุจู†ู‚ูˆู„ ุงู„ู€ NH2 ุจุณ ู‡ูŠ ู…ุฌู…ูˆุนุฉ ูˆุงุณู…ู‡ุง Amino ุจู†ุงุก ุนู„ู‰
1520
+
1521
+ 381
1522
+ 00:32:42,760 --> 00:32:46,600
1523
+ ุฐู„ูƒ ู„ูˆ ู…ุซู„ุง ุฃู†ุง ุฃุทู„ุน ุชุงูŠูƒุงุฑุจูˆู†ุชูŠู†ุชูŠู† ุชู„ุงุชุฉ ุฃุฑุจุนุฉ
1524
+
1525
+ 382
1526
+ 00:32:46,600 --> 00:32:54,860
1527
+ ุจูŠูˆุชูŠู† ู„ูˆ ุงุชุตู„ ุจ OHุงู„ุงู† ุนู„ูŠูƒ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู† ุชุจุฑู…
1528
+
1529
+ 383
1530
+ 00:32:54,860 --> 00:33:00,780
1531
+ ุนู„ู‰ ู…ูˆู‚ุน ุงุฑุจุนุฉ ุงู…ูŠู†ูˆ ุงุฐุง ู‡ุฐุง four amino two bromo
1532
+
1533
+ 384
1534
+ 00:33:00,780 --> 00:33:06,000
1535
+ ู„ุญุธุฉ ุงู„ alphabetical ุงู„ a ู‚ุจู„ ุงู„ b four amino two
1536
+
1537
+ 385
1538
+ 00:33:06,000 --> 00:33:11,340
1539
+ bromo ูˆ ุงู„ butanolููŠ ุญุงู„ุฉ ุงู„ู€ butanol ุงู„ู€ OH ู…ู…ูƒู†
1540
+
1541
+ 386
1542
+ 00:33:11,340 --> 00:33:15,280
1543
+ ุชูƒูˆู† ุนู„ู‰ ุฃูƒุชุฑ ู…ู† ู…ูˆู‚ุนุŒ ูŠุฌุจ ุฃู† ูŠุญุฏุฏ ู…ูˆู‚ุนู‡ุงุŒ ู„ูƒู† ู„ูˆ
1544
+
1545
+ 387
1546
+ 00:33:15,280 --> 00:33:20,780
1547
+ ุงูุชุฑุถุช ูƒุงู† ุนู†ุฏู‡ุง ู†ู‚ู„ ุฏู‡ุงูŠุฏุŒ
1548
+
1549
+ 388
1550
+ 00:33:20,780 --> 00:33:24,860
1551
+ ูุจุชู‚ูˆู„ ูˆุงุญุฏ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ูŠู‚ูˆู„ ุฎู„ุงุต butanol ุจุฏูˆู†
1552
+
1553
+ 389
1554
+ 00:33:25,490 --> 00:33:31,410
1555
+ one ุฅุฐุง ู…ู† ุฃุณู‡ู„ ุงู„ุชุณู…ูŠุงุช .. ู…ู† ุฃุณู‡ู„ ุงู„ุชุณู…ูŠุงุช ู„ุฃ ุงู„
1556
+
1557
+ 390
1558
+ 00:33:31,410 --> 00:33:35,530
1559
+ .. a means ุฃู† ุฃู‚ูˆู„ ุงู„ N-H2 ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ุฌู…ูˆุนุฉ
1560
+
1561
+ 391
1562
+ 00:33:35,530 --> 00:33:41,330
1563
+ ุงุณู…ู‡ุง Amino ุทูŠุจ ู…ุฑุงุช ุจุชูƒูˆู† ู…ูˆุฌูˆุฏุฉ ุงู„ู…ุฌู…ูˆุนุฉ ู…ุด ุนู„ู‰
1564
+
1565
+ 392
1566
+ 00:33:41,330 --> 00:33:45,330
1567
+ ุดูƒู„ N-H2 ุฃู†ุง ู‚ุจู„ ุดูˆูŠุฉ ู‚ูˆู„ุช ุงู„ N-H2 ุนู„ู‰ ู† ูˆุงู„ุฑุฃุณ ุดูˆ
1568
+
1569
+ 393
1570
+ 00:33:45,330 --> 00:33:53,230
1571
+ ุณู…ู†ุงู‡ุงุŸ Amino ุทูŠุจ ู„ูˆ ูƒุงู†ุช N-H ู…ุซู„ ู…ุซู„ุง ุดูˆ ุจุฏูŠ
1572
+
1573
+ 394
1574
+ 00:33:53,230 --> 00:34:04,110
1575
+ ุฃุณู…ูŠู‡ุงุŸู…ุซู„ ุฃู…ูŠู†ูˆ ู…ุซู„ ุฃู…ูŠู†ูˆ ู…ุซู„ ุฃู…ูŠู†ูˆ ุทูŠุจ ู„ูˆ ูƒุงู†ุช
1576
+
1577
+ 395
1578
+ 00:34:04,110 --> 00:34:09,610
1579
+ ุฃู† ู…ุซู„ ุชูˆ ุฏุงูŠู…ุซู„
1580
+
1581
+ 396
1582
+ 00:34:09,610 --> 00:34:14,050
1583
+ ุฃู…ูŠู†ูˆ ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง ุฃู† ู…ุซู„ ุงูˆ ู…ุซู„ ุดูˆ
1584
+
1585
+ 397
1586
+ 00:34:14,050 --> 00:34:18,950
1587
+ ุจูŠุตูŠุฑ ุงุณู…ู‡ุงุŸ ุฏุงูŠู…ุซู„ ุฃู…ูŠู†ูˆ ูƒุฌุฑูˆุจ ูŠุนู†ูŠ ู„ูˆ ุฃู† ู‡ุฐู‡
1588
+
1589
+ 398
1590
+ 00:34:18,950 --> 00:34:22,810
1591
+ ู…ุซู„ุง ูƒุงู†ุช ุฃู† ูˆ ุนู„ูŠู‡ุง ู…ุซู„ ูˆ ู…ุซู„ ุจุฏูŠ ุฃู‚ูˆู„ four
1592
+
1593
+ 399
1594
+ 00:34:25,040 --> 00:34:31,160
1595
+ Dimethylamino ู„ูˆ ูƒุงู†ุช ุฃู†ู‡ ุนู„ูŠู‡ุง ู…ุซู„ four ู…ุซู„ ุฃู…ูŠู†ูˆ
1596
+
1597
+ 400
1598
+ 00:34:31,160 --> 00:34:38,560
1599
+ ุฅุฐุง ุงู„ุงู† ุฃุชุด two ุฃู…ูŠู†ูˆ ุงู„ุงู† ุฃุชุด ู…ุซู„ ู…ุซู„ ุฃู…ูŠู†ูˆ ุทุจุนุง
1600
+
1601
+ 401
1602
+ 00:34:38,560 --> 00:34:42,320
1603
+ ู„ูˆ ูƒุงู†ุช R ุจู†ุณู…ูŠ ุงู„ R ุฃุซู„ ุฃู…ูŠู†ูˆ ูˆุงุญุฏุฉ ุจู‚ู‰ ุงู„ุงู† ู…ุซู„
1604
+
1605
+ 402
1606
+ 00:34:42,320 --> 00:34:45,780
1607
+ two dimethylamino
1608
+
1609
+ 403
1610
+ 00:34:50,640 --> 00:34:54,920
1611
+ ูˆุงุถุญุŸ ุฅูŠุด ูƒุงู† ุงู„ุณุคุงู„ุŸ
1612
+
1613
+ 404
1614
+ 00:34:54,920 --> 00:35:01,330
1615
+ ู„ุง ุทุจุนุง ู‚ุฏุด ูˆุงุญุฏุฉุŒ ู…ุง ู‡ูˆ ุฏู‡ ุดุงุจูƒ ุจุญุงุฌุฉ ุชุงู†ูŠุฉู‡ูŠูˆุบ
1616
+
1617
+ 405
1618
+ 00:35:01,330 --> 00:35:05,150
1619
+ ุฒูŠ ู‡ุงู†ุง ู‡ุฐุง ุดุงุจูƒ ุจุญุงุฌุฉ ุชุงู†ูŠุฉ ุฃู†ุง ุจุญูƒูŠ ุนู†ู‡ุง ูƒู…ุฌู…ูˆุนุฉ
1620
+
1621
+ 406
1622
+ 00:35:05,150 --> 00:35:11,110
1623
+ ุจู…ุนู†ู‰ ุฃู†ู‡ุง ุดุงุจูƒุฉ ุจุดูŠุก ุชุงู†ูŠ ูŠุนู†ูŠ ุงูุชุฑุถ ู…ุฑุชุจุทุฉ ุจุฎู…ุณ
1624
+
1625
+ 407
1626
+ 00:35:11,110 --> 00:35:14,810
1627
+ ูƒุฑุจูˆู†ุงุชุŒ ุดูˆ ุจุฏูŠ ูŠูƒูˆู†ุŸ one ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏุŒ one
1628
+
1629
+ 408
1630
+ 00:35:14,810 --> 00:35:19,910
1631
+ aminobentainุŒ one methylaminobentainุŒ one
1632
+
1633
+ 409
1634
+ 00:35:19,910 --> 00:35:24,490
1635
+ dimethylaminobentainุŒ ุจู‡ุฐุง ุงู„ุดูƒู„ ู„ุฃู† ู‡ูŠ ู‡ุงู†ุง
1636
+
1637
+ 410
1638
+ 00:35:24,490 --> 00:35:30,170
1639
+ ูƒู…ุฌู…ูˆุนุฉุŒ ูˆุงู„ู…ุฌู…ูˆุนุฉ ุฏุงุฆู…ุง ุฅูŠุด ุจุชูƒูˆู†ุŸุจุชูƒูˆู† ู†ุงู‚ุต ูˆุงุญุฏ
1640
+
1641
+ 411
1642
+ 00:35:30,170 --> 00:35:37,110
1643
+ ู„ู…ุง ูƒู†ุช ุฃู‚ูˆู„ ุงู„ู…ูŠุซูŠู† ุฌุฒุก CH4 ุงู„ู…ูŠุซู„ ู…ุฌู…ูˆุนุฉ ุจุชู†ู‚ุต
1644
+
1645
+ 412
1646
+ 00:35:37,110 --> 00:35:42,530
1647
+ ูˆุงุญุฏ ุฏุงุฆู…ุง ุงู„ู…ุฌู…ูˆุนุฉ ู‡ุงูŠ ุนู†ุฏูŠ ุฃู…ุซู„ุฉ ู‡ู†ุง ู„ูˆ ูู‰ ุนู†ุฏูŠ
1648
+
1649
+ 413
1650
+ 00:35:42,530 --> 00:35:48,830
1651
+ ู…ุซู„ุง ุชู„ุช ูƒุงุฑุจูˆู†ุงุช ุนู„ู‰ ุงู„ุฐุฑุน ุงู„ุฃูˆู„ NH2 ุฅูŠุด ุจู†ู‚ูˆู„ุŸ
1652
+
1653
+ 414
1654
+ 00:35:48,830 --> 00:35:56,670
1655
+ one aminoborben ู‡ู†ุงูƒ two aminoborben ู‡ู†ุง ุณุช ุฐุฑุงุชู‡
1656
+
1657
+ 415
1658
+ 00:35:56,670 --> 00:36:03,900
1659
+ ุนู„ู‰ ู…ูˆู‚ุน ุงุชู†ูŠู†to a minor hexane ุทูŠุจ ู‡ุงูŠ ู‡ู†ุง ู…ุซุงู„
1660
+
1661
+ 416
1662
+ 00:36:03,900 --> 00:36:08,020
1663
+ ุฌุฏูŠุฏ ู„ุงุญุธูˆุง ู‡ุงูŠ ุงู„ุณู„ุณู„ุฉ ุฏูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ูŠ
1664
+
1665
+ 417
1666
+ 00:36:08,020 --> 00:36:14,420
1667
+ ุงู„ุฃุทูˆู„ ู…ุงุฐุง ุชุญู…ู„ ู…ุฌู…ูˆุนุฉ ุงู„ุงู† ู…ุซู„
1668
+
1669
+ 418
1670
+ 00:36:18,240 --> 00:36:23,280
1671
+ ุฃู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ ู…ุซู„ ุฃู…ูŠู†ูˆ ุทุจุนุง ุจู†ู‚ุฏุฑ ูŠู‚ูˆู„ .. ู‡ู„ุฃ
1672
+
1673
+ 419
1674
+ 00:36:23,280 --> 00:36:26,520
1675
+ ุจูŠุณู…ูˆู‡ ุจุทุฑู ุชุงู†ูŠ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠู‚ูˆู„ ุฃ ู…ุซู„ ูˆ ุฃู…ูŠู†ูˆ
1676
+
1677
+ 420
1678
+ 00:36:26,520 --> 00:36:31,140
1679
+ ุจุฑูˆุจูŠู† ูˆุงู„ุฃุณู‡ู„ ุงู†ู‡ ูŠู‚ูˆู„ one ุฒูŠ ู…ุง ุชูˆูŠ ุญูƒูŠู†ุงู„ูƒูˆุง
1680
+
1681
+ 421
1682
+ 00:36:31,140 --> 00:36:38,860
1683
+ ุฅูŠุด ุงุณู… ุงู„ู…ุฌู…ูˆุนุฉ ู…ุซู„ ุฃู…ูŠู†ูˆ ุจุฑูˆุจูŠู† ุฒูŠ ู‡ูŠูƒ ุจูŠูƒูˆู† ุฅูŠุด
1684
+
1685
+ 422
1686
+ 00:36:38,860 --> 00:36:44,460
1687
+ ุฃุณู‡ู„ one ุฅูŠุด ุงุณู… ุงู„ู…ุฌู…ูˆุนุฉ ู…ุซู„ ุฃู…ูŠู†ูˆ
1688
+
1689
+ 423
1690
+ 00:36:47,250 --> 00:36:51,490
1691
+ Dimethyl Amino ุฌุงูŠ ุนู„ู‰ ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ู€ Cyclohexane
1692
+
1693
+ 424
1694
+ 00:36:51,490 --> 00:36:56,310
1695
+ ูุจู†ู‚ูˆู„ Dimethyl Amino Cyclohexane ู„ูˆ ุญุท ู…ู† ุนู†ุฏู‡ NN
1696
+
1697
+ 425
1698
+ 00:36:56,310 --> 00:37:01,450
1699
+ ุนุงุฑููŠู† ุดูˆ ู…ุนู†ุงู‡ุŸ ูŠุนู†ูŠ ุฃู† ุงู„ู…ูŠุซู„ุฒ ู…ุชุตู„ุฉ ุจู†ูŠุชุฑูˆุฌูŠู†
1700
+
1701
+ 426
1702
+ 00:37:01,450 --> 00:37:05,490
1703
+ ูˆู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠู†ุง ุนู†ู‡ุง ุจุงู„ form amides ุฅุฐุง ุฃู†ุชู…
1704
+
1705
+ 427
1706
+ 00:37:05,490 --> 00:37:12,210
1707
+ ู…ุชุฐูƒุฑูŠู†ุŒ ู…ุธุจูˆุทุŸ ุฅุฐุง ุฒูŠ ู…ุง ู‚ู„ู†ุง ุงู„ู€NH2 ุงุณู…ู‡ุง Amino
1708
+
1709
+ 428
1710
+ 00:37:12,210 --> 00:37:23,590
1711
+ ุงู„ู€NH Methylู…ุซู„ ุงู…ูŠู†ูˆ ูˆุงู„ุงู† ู…ุซู„ุชูˆ ุฏุงูŠู…ุซู„ ุงู…ูŠู†ูˆ ู‡ุงูŠ
1712
+
1713
+ 429
1714
+ 00:37:23,590 --> 00:37:29,550
1715
+ ุนู†ุฏู‰ ู‡ู†ุง ูƒู…ุงู† ุงู…ุซู„ุฉ ุงุถุงููŠุฉ ุจุฅู…ูƒุงู†ูƒูˆุง ุชู‚ุฑุคูˆู‡ุง ุจูˆุถูˆุก
1716
+
1717
+ 430
1718
+ 00:37:29,550 --> 00:37:34,330
1719
+ ุงูˆ ุฒู‰ ู…ุง ุจุฏูƒู… ู‡ุงูŠ ู‡ู†ุง ู…ุซู„ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุนู„ู‰
1720
+
1721
+ 431
1722
+ 00:37:34,330 --> 00:37:40,340
1723
+ ู…ูˆู‚ุน ูˆุงุญุฏ ูˆุงุชู†ูŠู† ุนู†ุฏูƒูˆุง ุงู…ูŠู†ูˆ ุงู…ูŠู†ูˆ ุงูŠุด ุจูŠูƒูˆู†ุŸ1,2
1724
+
1725
+ 432
1726
+ 00:37:40,340 --> 00:37:43,800
1727
+ -dimethyl-1,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1
1728
+
1729
+ 433
1730
+ 00:37:43,800 --> 00:37:44,040
1731
+ ,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1,2-dimethyl
1732
+
1733
+ 434
1734
+ 00:37:44,040 --> 00:37:46,720
1735
+ -1,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1,2
1736
+
1737
+ 435
1738
+ 00:37:46,720 --> 00:37:49,400
1739
+ -dimethyl-1,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1
1740
+
1741
+ 436
1742
+ 00:37:49,400 --> 00:37:49,400
1743
+ ,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1,2-dimethyl
1744
+
1745
+ 437
1746
+ 00:37:49,400 --> 00:37:50,360
1747
+ -1,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1,2
1748
+
1749
+ 438
1750
+ 00:37:50,360 --> 00:37:57,840
1751
+ -dimethyl-1,2-dimethyl-1,2-dimethyl-1,2-dimethyl-1
1752
+
1753
+ 439
1754
+ 00:37:57,840 --> 00:38:06,650
1755
+ ,2-dimethyl-1,2-dimethyl-ุชูˆ ุจูŠูˆุชุงู†ูˆู„ ุชูˆ ุจูŠูˆุชุงู†ูˆู„
1756
+
1757
+ 440
1758
+ 00:38:06,650 --> 00:38:11,910
1759
+ ู‡ุงูŠ ุงู„ุณู„ุณู„ุฉ ุงู„ุฃุณุงุณูŠุฉ ุจูŠูˆุชุงู† ุจูŠูˆุชุงู†ูˆู„ ุชูˆ ุจูŠูˆุชุงู†ูˆู„
1760
+
1761
+ 441
1762
+ 00:38:11,910 --> 00:38:21,850
1763
+ ุซู„ุงุซ ุฃู…ูŠู†ูˆ ุซู„ุงุซ ุจุซู„ุงุซ ูˆุงุถุญ ุงู„ู…ุฑูƒุจ ุงู„ู„ูŠ ููˆู‚ ู„ุงุญุธูˆุง
1764
+
1765
+ 442
1766
+ 00:38:21,850 --> 00:38:27,230
1767
+ ู‡ุฐุง ุชุฑุฏ ุดุฑูŠ ุฃู…ูŠู† ู‡ุฐุง ุชุฑุฏ ุดุฑูŠ ุฃู…ูŠู† ูŠู…ูƒู† ู„ูˆ ุงู†ูุตู„ูˆุง
1768
+
1769
+ 443
1770
+ 00:38:27,230 --> 00:38:28,610
1771
+ ุจุณู‡ู„
1772
+
1773
+ 444
1774
+ 00:38:35,490 --> 00:38:39,870
1775
+ ู‡ู†ุง CH3 ูˆู‡ู†ุง CH2 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง
1776
+
1777
+ 445
1778
+ 00:38:39,870 --> 00:38:43,830
1779
+ CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3
1780
+
1781
+ 446
1782
+ 00:38:43,830 --> 00:38:43,830
1783
+ ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง
1784
+
1785
+ 447
1786
+ 00:38:43,830 --> 00:38:43,970
1787
+ CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3
1788
+
1789
+ 448
1790
+ 00:38:43,970 --> 00:38:45,530
1791
+ ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง
1792
+
1793
+ 449
1794
+ 00:38:45,530 --> 00:38:46,390
1795
+ CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3
1796
+
1797
+ 450
1798
+ 00:38:46,390 --> 00:38:47,270
1799
+ ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง
1800
+
1801
+ 451
1802
+ 00:38:47,270 --> 00:38:48,450
1803
+ CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3
1804
+
1805
+ 452
1806
+ 00:38:48,450 --> 00:38:48,450
1807
+ ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง
1808
+
1809
+ 453
1810
+ 00:38:48,450 --> 00:38:51,790
1811
+ CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3 ูˆู‡ู†ุง CH3
1812
+
1813
+ 454
1814
+ 00:38:51,790 --> 00:38:57,730
1815
+ ูˆู‡ู†ุง CH3ู„ู„ุฅูŠุซูŠู„ ู‡ุฐุง ุงู„ุฅูŠุซูŠู„ ู‡ุงูŠ ูˆุงุญุฏ ู‡ุงูŠ ุงุชู†ูŠู† ุงูŠุด
1816
+
1817
+ 455
1818
+ 00:38:57,730 --> 00:39:06,870
1819
+ ู…ูˆุฌูˆุฏ ุนู„ูŠู‡ ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ุงุชุทู„ุนูˆุง ุฃู† ุฅูŠุซูŠู„ ุฃู† ู…ุซู„
1820
+
1821
+ 456
1822
+ 00:39:06,870 --> 00:39:11,790
1823
+ ูƒู„ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ู‡ุงูŠ ุงุณู…ู‡ุง ู‡ุฐู‡ ูƒู„ู‡ุง ุชุนุชุจุฑ ู…ุฌู…ูˆุนุฉ
1824
+
1825
+ 457
1826
+ 00:39:11,790 --> 00:39:14,570
1827
+ ุงูŠุด ุงุณู…ู‡ุง ุฃู† ุฅูŠุซูŠู„ ุฃู† ู…ุซู„
1828
+
1829
+ 458
1830
+ 00:39:18,680 --> 00:39:23,980
1831
+ ู‡ุฐู‡ ู„ูŠุณุช ุฃู† ุถุงูŠ ุฅุซู„ ูˆู„ุง ุถุงูŠ ู…ุซู„ ุนู„ูŠู‡ุง ุฅุซู„ ูˆ ู…ุซู„
1832
+
1833
+ 459
1834
+ 00:39:23,980 --> 00:39:34,220
1835
+ ูƒุฅู†ู‡ุง ุฅุซู„ ู…ุซู„ ุฃู…ูŠู†ูˆ ุฃูˆ ุฃู† ุฅุซู„ ุฃู† ู…ุซู„ ุฃู…ูŠู†ูˆ ุฅุซู„ ูู‡ูˆ
1836
+
1837
+ 460
1838
+ 00:39:34,220 --> 00:39:39,700
1839
+ ู‚ุงู„ ุฃู† ุฅุซู„ ูˆ ุฃู† ู…ุซู„ ูˆ ุงู„ุฃู…ูŠู†ูˆ ู‡ูˆ ุงู„ู…ุชุตู„ุฉ ุนู„ู‰ ู…ูˆู‚ุน
1840
+
1841
+ 461
1842
+ 00:39:39,700 --> 00:39:45,220
1843
+ ูˆุงุญุฏ one amino ethyl ู„ูˆ ู‚ุงู„ ู…ุซู„ุง one ethyl ู…ุซู„
1844
+
1845
+ 462
1846
+ 00:39:45,220 --> 00:39:52,610
1847
+ ุฃู…ูŠู†ูˆ ุฅุซู„ุจุฑุถู‡ ุจู…ุดูŠ ูŠุนู†ูŠ ู…ุฑุงุช ุจุชู„ุงู‚ูˆุง ูŠุนู†ูŠ ุดุบู„ุฉ
1848
+
1849
+ 463
1850
+ 00:39:52,610 --> 00:39:56,130
1851
+ ุจุณูŠุทุฉ ููŠ ุงุณู… ุงู„ุชุบูŠูŠุฑ ุจุณ ู…ุงููŠุด ู…ุดูƒู„ุฉ ูŠุนู†ูŠ ูƒู„ ู‡ุฐู‡
1852
+
1853
+ 464
1854
+ 00:39:56,130 --> 00:40:01,570
1855
+ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู„ูŠ ููŠ ุงู„ุฃุฒุฑู‚ ุฌุงูŠุฉ ุนู„ู‰ ุฃูŠ ู…ูˆู‚ุน ูˆุงุญุฏ ู„ูˆ
1856
+
1857
+ 465
1858
+ 00:40:01,570 --> 00:40:06,170
1859
+ ูƒุงู†ุช ู‡ุฐู‡ unatched ูˆุดูˆ ูƒู†ุช ุญุงุณุจ ุงู„ู…ุฑูƒุจ one Amino
1860
+
1861
+ 466
1862
+ 00:40:06,170 --> 00:40:16,570
1863
+ ุงุซู†ู‰ ุงู„ุงู† ู‡ุฐู‡ Amino ูˆู„ุง ุงุซู†ู‰ ู…ุซู„ Amino
1864
+
1865
+ 467
1866
+ 00:40:17,710 --> 00:40:22,330
1867
+ ูŠุนู†ูŠ ู‡ุงูŠ ู‡ุฐูŠ ูƒู„ู‡ุง ูˆุงู† ุงุซู„ ู…ุซู„ ุงู…ุงูŠ ุฏูŠ ู…ุฌู…ูˆุนุฉ ูˆ ูƒู„ู‡
1868
+
1869
+ 468
1870
+ 00:40:22,330 --> 00:40:29,270
1871
+ ุฌุงูŠ ุนู„ู‰ ูˆูŠู† ุนู„ู‰ ุงุซูŠู† ุนู„ู‰ ู…ูˆู‚ุน ุงู„ูˆุงุญุฏ ูู„ู…ุง ุชุญู„ู„ูˆุง
1872
+
1873
+ 469
1874
+ 00:40:29,270 --> 00:40:33,550
1875
+ ุงูŠ ุงุณู… ุจุชู„ุงุญุธูˆุง ุงู† ุงู„ุนู…ู„ูŠุฉ ุงูˆ ุงู„ุชุณู…ูŠุฉ ู„ูŠุณุช ุฃู…ุฑุง
1876
+
1877
+ 470
1878
+ 00:40:33,550 --> 00:40:35,450
1879
+ ุตุนุจุฉ
1880
+
1881
+ 471
1882
+ 00:40:47,010 --> 00:40:53,450
1883
+ ุงู„ุงู† ุงู„ amino ู…ู…ูƒู† ุชูƒูˆู† ุนู„ู‰ ุงู„ aromatic ุงู„ NH2 ู‡ุฐู‡
1884
+
1885
+ 472
1886
+ 00:40:53,450 --> 00:40:57,830
1887
+ ู…ู…ูƒู† ุชูƒูˆู† ุนู„ู‰ ุงู„ aromatic ุงู„ู…ุฑูƒุจ ุงู„ุจู†ุฒูŠู†ูŠ ุงู„ู„ูŠ
1888
+
1889
+ 473
1890
+ 00:40:57,830 --> 00:41:04,310
1891
+ ุนู„ูŠู‡ NH2 ุฃุฎุฏ ุงุณู… ุดู‡ุฑุฉ ุดูˆ ุชุณู…ู‰ุŸ ุฃู†ูŠู„ูŠู† ุงู„ุฃู† ู„ูˆ ุตุงุฑ
1892
+
1893
+ 474
1894
+ 00:41:04,310 --> 00:41:10,290
1895
+ ุฃู†ูŠู„ูŠู† ู…ุน ุทูˆู„ูˆูŠู† ูŠุนู†ูŠ ู„ูˆ ุจุณ NH2 ุฃู†ูŠู„ูŠู† ู„ูˆ ุจุณ ู…ุซู„
1896
+
1897
+ 475
1898
+ 00:41:10,290 --> 00:41:15,860
1899
+ ุทูˆู„ูˆูŠู† ุทุจ ู„ู…ุง ูŠู†ุฎู„ุทูˆุง ู…ุน ุจุนุถุŸุฒูŠ ู…ุง ุจู†ุฎู„ุท ุงู„ูƒูŠู…ูŠุง
1900
+
1901
+ 476
1902
+ 00:41:15,860 --> 00:41:21,080
1903
+ ุจุงู„ููŠุฒูŠุง ุงูŠุด ุจู†ู‚ูˆู„ physical chemistry ุงูˆ
1904
+
1905
+ 477
1906
+ 00:41:21,080 --> 00:41:26,520
1907
+ ุงู„ู…ุบู†ุงุทุณูŠุฉ ุจุงู„ูƒู‡ุฑุจุงุฆูŠุฉ ุงูŠุด ุจู†ู‚ูˆู„ electromagnetic
1908
+
1909
+ 478
1910
+ 00:41:26,520 --> 00:41:33,100
1911
+ ุงูˆ ูƒู‡ุฑูˆู…ุบู†ุงุทุณูŠุฉ ู‡ู†ุง ุฎู„ุทู†ุง ุงู„ุชู„ูˆูŠู† ุจุงู„ุงู†ู„ูŠู„ ูุจุณู…ูˆู‡
1912
+
1913
+ 479
1914
+ 00:41:33,100 --> 00:41:41,810
1915
+ ุทุจุนุง ู‡ุฐุง ุจุงุฑุง ุจุงุฑุง ุชูˆู„ูŠุฏูŠู† ู‡ู†ุง ุงูˆุฑุชูˆ ุชูˆู„ูŠุฏูŠู†ู…ูŠุชุง
1916
+
1917
+ 480
1918
+ 00:41:41,810 --> 00:41:46,750
1919
+ ุชูˆู„ุฏูŠู† ู‡ุคู„ุงุก ุงู„ุชูˆู„ุฏูŠู† ู‡ู… ุงู„ู„ูŠ ุฌุงูŠูŠู† ู…ู† ุฎู„ุทุฉ
1920
+
1921
+ 481
1922
+ 00:41:46,750 --> 00:41:52,130
1923
+ ุงู„ุชู„ูˆูŠู† ู…ุน ุงู„ุฃู„ูŠู„ูŠู† ูุจูŠุณู…ูˆู‡ู…
1924
+
1925
+ 482
1926
+ 00:41:52,130 --> 00:41:58,850
1927
+ ุจู‡ุฐุง ุงู„ุดูƒู„ ุจุงุฑุง ุชูˆู„ุฏูŠู† ุงูˆุฑุซูˆ ุชูˆู„ุฏูŠู† ูˆู…ูŠุชุง ุชูˆู„ุฏูŠู†
1928
+
1929
+ 483
1930
+ 00:41:58,850 --> 00:42:02,750
1931
+ ู„ุณู‡ ุถุงูŠู„ ุนู†ุฏู†ุง ุจุณ ุงู„ common names ุงู† ุงู„ู„ู‡ ูŠุญุจ
1932
+
1933
+ 484
1934
+ 00:42:02,750 --> 00:42:08,930
1935
+ ุงู„ุตุงุจุฑูŠู† ุฅุฐุง ุตุจุฑูˆุง ุงู„ุขู† ู„ูˆ ุฅุฌูŠู†ุง ู‚ูˆู„ู†ุง ุงู„ common
1936
+
1937
+ 485
1938
+ 00:42:08,930 --> 00:42:09,670
1939
+ names
1940
+
1941
+ 486
1942
+ 00:42:12,800 --> 00:42:17,860
1943
+ ุฒูŠ ู…ุง ูƒู†ุง ู†ุณู…ูŠ ููŠ ุญุงู„ุฉ ุงู„ halogens ูŠุนู†ูŠ ุงู†ุง ุจุฏูŠ
1944
+
1945
+ 487
1946
+ 00:42:17,860 --> 00:42:22,060
1947
+ ุงุนุทูŠูƒูˆุง ู…ุซุงู„ ุนุดุงู† ุจุณ ุงู†ุชูˆุง ุชุดูˆููˆุง ุงู„ู…ูˆุงุฒู†ุฉ ู„ู…ุง ูƒุงู†
1948
+
1949
+ 488
1950
+ 00:42:22,060 --> 00:42:30,740
1951
+ ูƒู†ุช ุนู†ุฏูŠ CH3Cl ุดูˆ ูƒู†ุช ุงุณู…ูŠ ุงู†ุงุŸ ุฃูŠูˆุจูƒ ุฃูˆ commonุŸ
1952
+
1953
+ 489
1954
+ 00:42:30,740 --> 00:42:35,860
1955
+ ููŠ ุงู„ ุฃูŠูˆุจูƒ ูƒู†ุช ุงู‚ูˆู„ ุงู„ chloro ู…ุซูŠู† ู…ุซูŠู† ูŠุนู†ูŠ
1956
+
1957
+ 490
1958
+ 00:42:35,860 --> 00:42:39,420
1959
+ ุงู„ุงุตู„ ุงู„ู„ูŠ ุนู†ุฏูƒ ู…ุซูŠู† ู‡ุฐุง ุฃูŠูˆุจูƒ
1960
+
1961
+ 491
1962
+ 00:42:41,940 --> 00:42:49,440
1963
+ ุงุฎุฏ ู‡ุฐู‡ ุงู„ู…ุฌู…ูˆุนุฉ ู…ุง ุงุณู…ู‡ุง ู…ุซู„ ู…ุซู„ ุงูƒู„ูˆุฑุงูŠุฏ ู…ุซู„
1964
+
1965
+ 492
1966
+ 00:42:49,440 --> 00:42:53,960
1967
+ ุงูƒู„ูˆุฑุงูŠุฏ ุงู„ุงู† ู„ูˆ ุงู„ูƒู„ุงู… ู†ูุณู‡ ุงุชูƒุฑุฑ ุนู†ุฏูŠ ู‡ุฐุง common
1968
+
1969
+ 493
1970
+ 00:42:53,960 --> 00:43:01,780
1971
+ name ู„ูˆ ุงุชูƒุฑุฑ ุนู†ุฏูŠ ููŠ ุงู„ amine ู‡ุฐุง ุงู…ูŠู†ูˆ ู…ุซู„ ุจุงู„
1972
+
1973
+ 494
1974
+ 00:43:01,780 --> 00:43:13,990
1975
+ ุฃูŠูˆุจูƒ ุทุจ ุงู„ common ู…ุซู„ ุงู…ูŠู† ู‡ุฐุง ุฏุงุฆู… ู…ุซู„ุฃู…ูŠู„ ู‡ุฏุง
1976
+
1977
+ 495
1978
+ 00:43:13,990 --> 00:43:19,190
1979
+ ู‡ู‰ ุฃู…ูŠู„ ูˆุญู…ู„ ุฅุซู„ ุฅุซู„ ุฃู…ูŠู„ ู„ูˆ ูƒู†ุช ุจุฏูŠ ุฃู‚ุงุจู„ ุฃูŠูˆุจูƒ
1980
+
1981
+ 496
1982
+ 00:43:19,190 --> 00:43:29,270
1983
+ one aminoethane ุฃูˆ ุงู…ูŠู†ูˆ ุฅุซู„ ู‡ุฏุง ู…ุซู„ ุฅุซู„ู…ุซู„ ุฃู…ูŠู†
1984
+
1985
+ 497
1986
+ 00:43:29,270 --> 00:43:39,350
1987
+ ู…ุซู„ ุฃู…ูŠู†
1988
+
1989
+ 498
1990
+ 00:43:39,350 --> 00:43:44,910
1991
+ ู…ุซู„ ุฃู…ูŠู†
1992
+
1993
+ 499
1994
+ 00:43:44,910 --> 00:43:48,850
1995
+ ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„
1996
+
1997
+ 500
1998
+ 00:43:48,850 --> 00:43:48,850
1999
+ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู†
2000
+
2001
+ 501
2002
+ 00:43:48,850 --> 00:43:48,850
2003
+ ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„
2004
+
2005
+ 502
2006
+ 00:43:48,850 --> 00:43:48,850
2007
+ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู†
2008
+
2009
+ 503
2010
+ 00:43:48,850 --> 00:43:48,850
2011
+ ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„
2012
+
2013
+ 504
2014
+ 00:43:48,850 --> 00:43:51,370
2015
+ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู† ู…ุซู„ ุฃู…ูŠู†ู†ูุณ ุงู„ isopropyl ู‡ุงูŠ ุงู„
2016
+
2017
+ 505
2018
+ 00:43:51,370 --> 00:43:55,790
2019
+ isopropyl ูƒู…ุฌู…ูˆุนุฉ ูˆ ู‡ุงุฏ ุงู„ amine ู‡ุงุฏ ุงู„ isopropyl
2020
+
2021
+ 506
2022
+ 00:43:55,790 --> 00:43:59,050
2023
+ amine ุทุจ ู„ูˆ ู‚ูˆู„ู†ุง ู„ูˆ ุงุญู†ุง ุณู…ูŠู†ุง ูŠุง ุจุงู„ ayobac
2024
+
2025
+ 507
2026
+ 00:43:59,050 --> 00:44:02,390
2027
+ ู…ุธุจูˆุท
2028
+
2029
+ 508
2030
+ 00:44:02,390 --> 00:44:08,270
2031
+ two aminopropane ุฒูŠ ุชู…ุงู…ุง ู„ูˆ ูƒู†ุช ุจุชู‚ูˆู„ู‡ ุจุงู„
2032
+
2033
+ 509
2034
+ 00:44:08,270 --> 00:44:12,290
2035
+ chlorine isopropyl chloride ุจูŠูƒูˆู† ุญุงุทูŠู† ู‡ู†ุง
2036
+
2037
+ 510
2038
+ 00:44:12,290 --> 00:44:16,210
2039
+ chlorine ุจุงู„ ayobac two chloro
2040
+
2041
+ 511
2042
+ 00:44:34,690 --> 00:44:42,400
2043
+ Tropanol ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุงู…ุง ุฎู„ุตู†ุงุด ุงู„ุชุณู…ูŠุฉ ุจุชุถู„ slide
2044
+
2045
+ 512
2046
+ 00:44:42,400 --> 00:44:46,440
2047
+ ุนุดุงู† ุชุฑุงุฌุนูˆุง ูƒู„ ู…ูˆุถูˆุน ุงู„ุชุณู…ูŠุฉ ูู„ู…ุง ู†ุดุฑุญู‡ุง ุจุชุฌู…ุน
2048
+
2049
+ 513
2050
+ 00:44:46,440 --> 00:44:50,840
2051
+ ุงูŠุด ูƒู„ ุงู„ู…ูˆุถูˆุน ุจู†ุฐูƒุฑ ููŠ ุงู„ุชุณู…ูŠุฉ ููŠ ุฃูˆู„ ุงู„ู…ุญุงุถุฑุฉ
2052
+
2053
+ 514
2054
+ 00:44:50,840 --> 00:44:58,180
2055
+ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡ ู„ุง ู„ุง ุงู† ุดุงุก ุงู„ู„ู‡ ูŠู…ูƒู† ุงู„ ..
2056
+
2057
+ 515
2058
+ 00:44:58,180 --> 00:45:02,660
2059
+ ุงู„ุงุชู†ูŠู† ุงุฎุฑ ู…ุญุงุถุฑุฉ ุงู†ุชูˆุง ู„ุณู‡ ุงู…ุชุญุงู†ูƒูˆุง ุงู„ุชู„ุงุชุฉ
2060
+
2061
+ 516
2062
+ 00:45:02,660 --> 00:45:03,460
2063
+ ุงู„ู„ูŠ ุจุนุฏ ูŠุนู†ูŠ
2064
+
2065
+ 517
2066
+ 00:45:16,180 --> 00:45:16,460
2067
+ ุฃู‡
2068
+
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@@ -0,0 +1,2020 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:06,440 --> 00:00:10,800
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ู…ุญุงุถุฑุฉ ุงู„ู…ุงุถูŠุฉ ุฅุฐุง
4
+
5
+ 2
6
+ 00:00:10,800 --> 00:00:16,700
7
+ ุจุชุฐูƒุฑูˆุง ุขุฎุฑ ุดุบู„ุฉ ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ูƒุงู†ุช ุนู„ู‰ ุนู…ู„ูŠุฉ ุงู„
8
+
9
+ 3
10
+ 00:00:16,700 --> 00:00:22,620
11
+ oxidation ู„ู„ alcohols ุงุชูƒู„ู…ู†ุง ุนู†ู‡ุง ุจุดูƒู„ ุนุงู… ุฅูŠุด
12
+
13
+ 4
14
+ 00:00:22,620 --> 00:00:26,800
15
+ ู…ุนู†ู‰ ุงู„ oxidation ูˆุฅูŠุด ุงู„ oxidation ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู„ู‰
16
+
17
+ 5
18
+ 00:00:26,800 --> 00:00:30,100
19
+ ุงู„ ethanol ููŠ ุงู„ุฌุณู… ู„ุญุฏ ู…ุง ูŠุทู„ุน ููŠ ุงู„ู†ู‡ุงูŠุฉ ุนู„ู‰ ุดูƒู„
20
+
21
+ 6
22
+ 00:00:31,520 --> 00:00:36,320
23
+ ุซุงู†ูˆ ุฃูƒุณูŠุฏ ุงู„ูƒุฑุจูˆู† ุงู„ุขู† ู„ู…ุง ุจุฏูˆู†ูŠุด ู†ุทู„ุน ุนู„ู‰ ุงู„
24
+
25
+ 7
26
+ 00:00:36,320 --> 00:00:39,780
27
+ oxidation ู…ู† ู†ุงุญูŠุฉ ูƒูŠู…ูŠุงุฆูŠุฉ ูˆ ู…ู† ู†ุงุญูŠุฉ ู…ุนุงุฏู„ุงุช
28
+
29
+ 8
30
+ 00:00:39,780 --> 00:00:45,320
31
+ ุนุดุงู† ุงู†ุง ุจุฏูŠ ุงุฒูŠุฏ ุงู„ุฑูˆุงุจุท ู…ุน ุงู„ oxygen ุจุฏูŠ ุชู… ุนู†ุฏู‡
32
+
33
+ 9
34
+ 00:00:45,320 --> 00:00:50,190
35
+ ููŠ ุนู…ู„ูŠุฉ ุงู„ oxidationุญุฐู ุฏุงุฑุชูŠู† ู‡ูŠุฏุฑูˆุฌูŠู† ูˆุจุงู„ุชุงู„ูŠ
36
+
37
+ 10
38
+ 00:00:50,190 --> 00:00:55,150
39
+ ุชุญูˆูŠู„ ู‡ุฐุง ุงู„ carbon-oxygen single bond ุฅู„ู‰ carbon
40
+
41
+ 11
42
+ 00:00:55,150 --> 00:00:58,850
43
+ -oxygen double bond ูุจุฏู„ ู…ุง ูƒุงู† ุนู†ุฏูŠ ุฑุงุจุทุฉ ู…ุน ุงู„
44
+
45
+ 12
46
+ 00:00:58,850 --> 00:01:02,950
47
+ oxygen ุตุงุฑ ุนู†ุฏูŠ ูƒุงู… ุฑุงุจุทุฉ ุชู†ุชู‡ูŠ ุงุฐุง ู‡ู†ุง ููŠ ุนู†ุฏูŠ
48
+
49
+ 13
50
+ 00:01:02,950 --> 00:01:08,130
51
+ ุนู…ู„ูŠุฉ oxidation ุฅุฐุง ุจุชุชุทู„ุน ุนู„ู‰ ุงู„ู…ุซุงู„ ุงู„ุฃูˆู„ ุนู„ู‰
52
+
53
+ 14
54
+ 00:01:08,130 --> 00:01:13,130
55
+ ุงู„ู…ุซุงู„ ุงู„ุฃูˆู„ ุจุชู„ุงุญุธ ุฃู† ู‡ุฐุง ุงู„ูƒุญูˆู„ ุนุจุงุฑุฉ ุนู† primary
56
+
57
+ 15
58
+ 00:01:13,130 --> 00:01:18,210
59
+ alcoholุงู„ุฏูŠู‡ูŠุฏ ู„ูˆ ุงูุชุฑุถู†ุง ุงู† ู‡ุฐุง ูƒุงู† ุฅูŠุซุงู†ูˆู† ุจูŠุตูŠุฑ
60
+
61
+ 16
62
+ 00:01:18,210 --> 00:01:22,630
63
+ ุฃุณูŠุชุงู„ุฏูŠู‡ูŠุฏ ู„ูƒู† ุงู„ู‚ุงุนุฏุฉ ุงู„ุนุงู…ุฉ ุงู† ุงู„ primary
64
+
65
+ 17
66
+ 00:01:22,630 --> 00:01:27,090
67
+ alcohols ูˆ ุงู„ oxidize are converted to ุงู„ุฏูŠู‡ูŠุฏุฒ
68
+
69
+ 18
70
+ 00:01:27,090 --> 00:01:31,170
71
+ ูˆุงุถุญุŸ ุงู„ primary alcohols ู„ู…ุง ุจู†ุนู…ู„ูˆุง oxidation
72
+
73
+ 19
74
+ 00:01:31,170 --> 00:01:35,430
75
+ ุจูŠุตูŠุฑูˆุง ุงู„ุฏูŠู‡ูŠุฏุฒ ุงู„ุขู† ู‡ู†ุง ุจุงู„ุฐุงุช ููŠ ุญุงู„ุฉ ุงู„
76
+
77
+ 20
78
+ 00:01:35,430 --> 00:01:38,770
79
+ primary alcohols ููŠ ุนู†ุฏู†ุง ู…ุดูƒู„ุฉ ุจุฏู†ุง ู†ุฌูŠ ููŠ ุฅู„ู‡ุง
80
+
81
+ 21
82
+ 00:01:39,560 --> 00:01:47,260
83
+ ู‡ุฐุง ุงู„ ุงู„ุฏูŠู‡ูŠุฏ ู…ู…ูƒู† ูŠุนู…ู„ ุนู…ู„ูŠุฉ ุฃูƒุณุฏุฉ ุฅุถุงููŠุฉ ุชุชุญูˆู„
84
+
85
+ 22
86
+ 00:01:47,260 --> 00:01:50,640
87
+ ุงู„ H ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ู‡ุฐุง ุงู„ ุงู„ุฏูŠู‡ูŠุฏ ุฅู„ู‰ OH ูˆุจุงู„ุชุงู„ูŠ
88
+
89
+ 23
90
+ 00:01:50,640 --> 00:01:55,360
91
+ ูŠุตูŠุฑ acid ุฅุฐุง ุฃู†ุง ุตุงุฑ ุนู†ุฏ ุงู„ primary alcohol ู…ู…ูƒู†
92
+
93
+ 24
94
+ 00:01:55,360 --> 00:01:58,760
95
+ ูŠุตูŠุฑ ุงู„ุฏูŠู‡ูŠุฏ ุจุณ ุงู„ ุงู„ุฏูŠู‡ูŠุฏ ู‡ุฐุง ุฅุฐุง ูƒุงู†ุช ุฃูƒุณุฏุฉ
96
+
97
+ 25
98
+ 00:01:58,760 --> 00:02:05,040
99
+ ุฅุถุงููŠุฉ ู…ู…ูƒู† ูŠุตูŠุฑacid ุงู„ุขู† ูŠุตุจุญ ุงู„ุณุคุงู„ ู…ุง ุงู„ุฐูŠ
100
+
101
+ 26
102
+ 00:02:05,040 --> 00:02:09,680
103
+ ูŠุฌุนู„ู†ูŠ ุฃุชุญูƒู… ุจุงู„ุฃูƒุณูŠุฏ ู‡ู„ ุจุฏุฃ ุชุฌู ุจู†ุต ุงู„ุทุฑูŠู‚ ูˆู„ุง
104
+
105
+ 27
106
+ 00:02:09,680 --> 00:02:14,560
107
+ ุจุฏุฃ ุชุณุชู…ุฑ ู„ู„ุขุฎุฑุŸ ู…ุง ูŠุณุงุนุฏู†ุง ููŠ ู‡ุฐุง ุงู„ู…ูƒุงู† ู‡ูˆ
108
+
109
+ 28
110
+ 00:02:14,560 --> 00:02:20,040
111
+ ุงู„ุชุญูƒู… ููŠ ุงู„ุนุงู…ู„ ุงู„ู…ุคูƒุณุฏ ุจู…ุนู†ู‰ููŠ ุนู†ุฏ ุนุงู…ู„ ู…ุคูƒุณุฏ
112
+
113
+ 29
114
+ 00:02:20,040 --> 00:02:25,460
115
+ ุงุณู…ู‡ BCC ุงุฎุชุตุงุฑู‡ BCC ู…ูŠุฑูŠุฏูŠู†ูŠุง ู…ูŠูƒู„ูˆุฑุง ูƒุฑูˆู…ูŠุช ุงุณู…ู‡
116
+
117
+ 30
118
+ 00:02:25,460 --> 00:02:29,620
119
+ ู‡ุฐุง ุงู„ุนุงู…ู„ ุงู„ู…ุคูƒุณุฏ ุงุฐุง ุงุญู†ุง ุจู†ุณุชุนู…ู„ู‡ ุจุนู…ู„ู†ุง ู†ุต
120
+
121
+ 31
122
+ 00:02:29,620 --> 00:02:34,300
123
+ ุงู„ุฃูƒุณุฏุง ุจู…ุดูŠู†ุง ู…ู† ุงู„ primer alcohol ู„ู„ุงู„ุฏูŠู‡ูŠุฏ ูˆ
124
+
125
+ 32
126
+ 00:02:34,300 --> 00:02:42,660
127
+ ุงู„ุจูŠูˆูƒูุงู„ู€ BCC ุงู„ุขู† ุฅุฐุง ุงุณุชุนู…ู„ุช stronger oxidizing
128
+
129
+ 33
130
+ 00:02:42,660 --> 00:02:46,700
131
+ agent ุนูˆุงู…ู„ ู…ุคูƒุณุฏุฉ ุฃู‚ูˆู‰ ุฒูŠ ู…ุง ู†ุณุชุนู…ู„ ุจุฑู…ุฌู†ุฉ
132
+
133
+ 34
134
+ 00:02:46,700 --> 00:02:53,500
135
+ ุงู„ุจูˆุชุงุณูŠูˆู… ุฃูˆ ูƒูŠุงู…ุงู† ุฃูˆููˆุฑ ุฃูˆ ุจูˆุชุงุณูŠูˆู… ุฏุงูŠ ูƒุฑูˆู…ูŠุช
136
+
137
+ 35
138
+ 00:02:53,500 --> 00:02:58,980
139
+ ุฃูˆ ูƒุฑูˆู…ูŠูƒ ุฃุณุฏ ู…ุฏูˆู‘ู ุจุณู„ูุฑูŠูƒ ุฃุณุฏ ูƒุฑูˆู…ูŠูˆ ุชุฑูŠูˆูƒุณูŠุฏ
140
+
141
+ 36
142
+ 00:02:58,980 --> 00:03:03,060
143
+ ู…ุฏูˆู‘ู ุจุณู„ูุฑูŠูƒ ุฃุณุฏ ูƒู„ู‡ ุจู†ู‚ูˆู„ ูƒุฑูˆู…ูŠูƒ ุฃุณุฏ ู‡ุฐู‡ ุนูˆุงู…ู„
144
+
145
+ 37
146
+ 00:03:03,060 --> 00:03:08,140
147
+ ู…ุคูƒุณุฏุฉ ู‚ูˆูŠุฉ ู„ูˆ ุงุณุชุนู…ู„ุชู‡ุงู„ู„ู€ Primary Alcohol
148
+
149
+ 38
150
+ 00:03:08,140 --> 00:03:13,120
151
+ ู…ุงุจุชูˆุงู‚ูู‰ ุดูˆูŠู† ุนู†ุฏ ุงู„ Aldehyde ุจุชุทู„ุนู†ูŠ ู…ู† ุงู„
152
+
153
+ 39
154
+ 00:03:13,120 --> 00:03:18,820
155
+ Primary Alcohol ู„ู„ Acid ุนู„ู‰ ุทูˆู„ ุทุจุนุง ุจุงู„ุชุฃูƒูŠุฏ ู„ูˆ
156
+
157
+ 40
158
+ 00:03:18,820 --> 00:03:23,000
159
+ ุงู„ Aldehyde ู†ูุณู‡ ุฃุฎุฏุชู‡ ูŠุนู†ูŠ ุฃูƒุณุฏุชู‡ุง ู„ู„ Aldehyde ูˆ
160
+
161
+ 41
162
+ 00:03:23,000 --> 00:03:26,560
163
+ ูุตู„ุชู‡ ูˆ ุจุนุฏูŠู† ุฃุฎุฏุชู‡ ูˆ ุจุฏู‰ ุฃูƒู…ู„ ุงู„ุฃูƒุณุฏุฉ ุจุฑุถู‡ ู„ูˆ
164
+
165
+ 42
166
+ 00:03:26,560 --> 00:03:30,960
167
+ ุงุณุชุนู…ู„ุช ุฃูŠ ูˆุงุญุฏ ู…ู† ู‡ุฏูˆู„ุฉ ุจูŠูƒู…ู„ู†ูŠ ู„ู„ Acid ุฅุฐุง ุฃูŠ
168
+
169
+ 43
170
+ 00:03:30,960 --> 00:03:38,710
171
+ ูˆุงุญุฏ ู…ู† ู‡ุฏูˆู„ุฉ ุงู„ุชู„ุงุชุฉู†ูุชุฑุถ ู†ู‚ูˆู„ KmnO4 ุณูˆุงุก ุจุฏุฃุช ู…ู†
172
+
173
+ 44
174
+ 00:03:38,710 --> 00:03:43,950
175
+ ุงู„ primary alcohol ุฃูˆ ุจุฏุฃุช ู…ู† ุงู„ aldehyde ุจูŠูˆุตู„ู†ูŠ
176
+
177
+ 45
178
+ 00:03:43,950 --> 00:03:49,070
179
+ ู„ุฅูŠุดุŸ ู„ู„ acidุŒ ูˆุงุถุญุŸ ุฅุฐู† ุจู†ู‚ุฏุฑ ุงุญู†ุง ู†ู‚ูˆู„ ุงู„ุขู† ุงู†
180
+
181
+ 46
182
+ 00:03:49,070 --> 00:03:54,090
183
+ primary alcohols are oxidized to carboxylic acid
184
+
185
+ 47
186
+ 00:03:54,090 --> 00:04:02,300
187
+ acids using ู…ุซู„ุง KmnO4 ุจุชุงุณูŠูˆู…ุจุงู„ู…ุฌุงู†ุงุช ุงูˆ
188
+
189
+ 48
190
+ 00:04:02,300 --> 00:04:05,920
191
+ ุจูˆุชุงุณูŠูˆู… ุฏุงูŠ ูƒุฑูˆู…ูŠุช ุงูˆ ูƒุฑูˆู…ูŠูƒ ุงุณุฏ ูˆุจู†ูุณ ุงู„ูˆู‚ุช
192
+
193
+ 49
194
+ 00:04:05,920 --> 00:04:11,800
195
+ ุงู„ุฏูŠู‡ูŠุฏุฒ ู‡ู… ุงูƒุณูŠุฏุฒุชูˆุง ุงู„ุงุณุฏุฒ ุจุงุณุชุฎุฏุงู… ุงู„ุงุฎุชุตุงุฑุงุช
196
+
197
+ 50
198
+ 00:04:11,800 --> 00:04:16,600
199
+ ุงู„ู„ุงุณูŠู†ูŠุฉ ูˆุงุถุญุŸ ุงุฐุง ุงู†ุง ู‡ู†ุง ู…ุชุญูƒู… ููŠ ุงู„ุงูƒุณูŠุฏ ุงุฐุง
200
+
201
+ 51
202
+ 00:04:16,600 --> 00:04:21,680
203
+ ุจุฏูŠ ุงุฌู ุนู†ุฏ ุงู„ ุงู„ุฏูŠู‡ูŠุฏ ู„ูˆุญุฏู‡ ุจุฏูŠ ุงู„ VCC ุจุฏูŠ ุงู…ุดูŠ
204
+
205
+ 52
206
+ 00:04:21,680 --> 00:04:26,500
207
+ ุนู†ู‡ ุณูˆุงุก ู…ุจุงุดุฑุฉ ู…ู† ุงู„ุงู„ูƒูˆ ู„ู„ุงุณุฏ ุงูˆ ู…ู† ุงู„ ุงู„ุฏูŠู‡ูŠุฏ
208
+
209
+ 53
210
+ 00:04:26,500 --> 00:04:31,320
211
+ ุงู„ู„ูŠ ู‡ูˆ ู†ุต ุงู„ุทุฑูŠู‚ ู„ู„ุงุณุฏ ุจุณุชุนู…ู„ strongeroxidizing
212
+
213
+ 54
214
+ 00:04:31,320 --> 00:04:36,860
215
+ agent ูˆุงุถุญุฉ ู‡ุฐู‡ ุงู„ููƒุฑุฉ ูู„ู…ุง ุชูƒู…ู„ูˆุง ู…ุนุงุฏู„ุฉ ุฃูƒุณุฏุฉ
216
+
217
+ 55
218
+ 00:04:36,860 --> 00:04:41,100
219
+ ุฅุฐุง ู„ุงุฒู… ุชุชุทู„ุนูˆุง ุฅูŠุด ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ุนู†ุฏูƒู… ู‡ู„ ู‡ูˆ ุงู„
220
+
221
+ 56
222
+ 00:04:41,100 --> 00:04:45,680
223
+ primary alcohol ูˆู„ุง ู„ุง ู„ุญุฏ ุงู„ุขู† ุงู„ูƒู„ุงู… ูƒู„ู‡ ุนู„ู‰ ุฅูŠุด
224
+
225
+ 57
226
+ 00:04:45,680 --> 00:04:51,040
227
+ ุงู„ primary alcohol ุงู„ุขู† ู„ูˆ ุฃุฌูŠู†ุง ู„ู„ secondary
228
+
229
+ 58
230
+ 00:04:51,040 --> 00:04:55,380
231
+ alcohol ุงุชุทู„ุนูˆุง ุนูŠุงุฏุฉ ุงู„ alcohol secondary ู‡ุงูŠ ุงู„
232
+
233
+ 59
234
+ 00:04:55,380 --> 00:04:57,160
235
+ carbon ู…ุชุตู„ุฉ ุจูƒู… carbon
236
+
237
+ 60
238
+ 00:04:59,830 --> 00:05:03,810
239
+ ูˆุจุชู†ุงู‚ุจ ู†ูุณ ุนู…ู„ูŠุฉ ุงู„ุฃูƒุณุฏุฉ ู†ุดูŠู„ ุงู„ู€ H ูˆุงู„ู€ H
240
+
241
+ 61
242
+ 00:05:03,810 --> 00:05:07,570
243
+ ุงู„ุชุงู†ูŠุฉ ูˆูŠุตูŠุฑ ุฃู†ุฏูŠ ุณูŠุถุฉ ุจุงู„ bond O ุจุชูƒูˆู† ุนู†ุฏู‰
244
+
245
+ 62
246
+ 00:05:07,570 --> 00:05:13,250
247
+ Ketone ุฅุฐุง ุงู„ secondary alcohols ุจูŠุนุทูˆู†ูŠ Ketones
248
+
249
+ 63
250
+ 00:05:13,250 --> 00:05:15,710
251
+ ุงู„ Ketone ุงู„ู„ู‰ ู‡ู‰ ุงู„ุณูŠุถุฉ ุจุงู„ bond O ุงู„ู„ู‰ ู…ุชุตู„ุฉ
252
+
253
+ 64
254
+ 00:05:15,710 --> 00:05:20,990
255
+ ุจู…ุฌู…ูˆุนุชูŠู† R ุงู„ aldehyde ุจุชูƒูˆู† ู…ุชุตู„ุฉ ุจ R ูˆ H ุงู„ุขู†
256
+
257
+ 65
258
+ 00:05:20,990 --> 00:05:24,730
259
+ ุฃู†ุง ูู‰ ุงู„ ketone ู…ุด ุถุงูŠ ุงู„ hydrogen ุชู… ุฅุจุฏุงู„ู‡ุง
260
+
261
+ 66
262
+ 00:05:24,730 --> 00:05:29,820
263
+ ูŠุนู†ูŠ ู…ุงููŠุด ุนู…ู„ูŠุฉ ุฃูƒุณุฏุฉ ุชุงู†ูŠุฉูˆุงุถุญุŸ ู…ุงููŠุด ุนู†ุฏูŠ ุฎูˆู
264
+
265
+ 67
266
+ 00:05:29,820 --> 00:05:33,940
267
+ ู…ู† ุฃูƒุณุฏุฉ ุชุงู†ูŠุฉ ูุงู„ุนู…ู„ ุงู„ู…ุคูƒุณุฏ ุงู„ู„ูŠ ุนุงุฏุฉ ุจูŠุณุชุนู…ู„ู‡
268
+
269
+ 68
270
+ 00:05:33,940 --> 00:05:39,320
271
+ ุจุงู„ู…ุฑุฃุฉ ุงู„ู€ KMnO4 ูˆ ุฃุฎูˆุงุชู‡ุง ุฒูŠ ูƒุฃู†ุง ูˆ ุฃุฎูˆุงุชู‡ุง
272
+
273
+ 69
274
+ 00:05:39,320 --> 00:05:44,960
275
+ ุนุงุฑููŠู† ู‡ู…ุŸ ูุฃูƒุณุฏุฉ ุงู„ secondary alcohol ุจุชุนุทูŠู†ุง
276
+
277
+ 70
278
+ 00:05:44,960 --> 00:05:51,480
279
+ ูƒูŠุชูˆู† ูˆ ู…ุงููŠุด ุฅู…ูƒุงู†ูŠุฉ ู„ุฃูƒุณุฏุฉ ุฅุถุงููŠุฉ ู„ุดุฆ ุฅุถุงููŠ
280
+
281
+ 71
282
+ 00:05:52,800 --> 00:05:55,940
283
+ ุจุชุทู„ุนูˆุง ู…ุนุงู‡ ุงู„ primary alcohol ูƒุงู† ุนู†ุฏู‰ ูƒุงู…
284
+
285
+ 72
286
+ 00:05:55,940 --> 00:05:59,940
287
+ ู‡ูŠุฏุฑูˆุฌูŠู† ุนู„ู‰ ุงู„ูƒุฑุจ ูˆุงุญุฏุฉ ุชู†ุชูŠู† ูˆุงู„ุฃุชุด ุงู„ู„ู‰ ุนู„ู‰
288
+
289
+ 73
290
+ 00:05:59,940 --> 00:06:03,200
291
+ ุงู„ุฃูƒุณุฌูŠู† ู„ู…ุง ุดูŠู„ู†ุง ุชู†ุชูŠู† ุทู„ุช ุฃุชุด ุนุดุงู† ู‡ูŠูƒ ุนู…ู„ู†ุง
292
+
293
+ 74
294
+ 00:06:03,200 --> 00:06:07,600
295
+ ุฃูƒุณุฉ ุฏู‡ ุงู„ุฏูŠู‡ุงูŠุฏ ูˆ ุจุนุฏูŠู† ุจุฏู„ู†ุง ุงู„ุฃุชุด ุจุงุณุฏ ุงู„
296
+
297
+ 75
298
+ 00:06:07,600 --> 00:06:12,660
299
+ secondary alcohol two ู‡ูŠุฏุฑูˆุฌูŠู† ุตุงุฑ ุนู†ุฏ ูƒูŠุชุฑ ูˆ ุฎู„ุตุช
300
+
301
+ 76
302
+ 00:06:12,660 --> 00:06:18,540
303
+ ููŠ ุงู„ tertiary alcohol ู…ุงููŠุด ุนู†ุฏู‰ ุบูŠุฑ ุงู„ู‡ูŠุฏุฑูˆุฌูŠู†
304
+
305
+ 77
306
+ 00:06:18,540 --> 00:06:24,470
307
+ ุงู„ู„ู‰ ุนู„ู‰ ุงู„ O-H ู…ุงููŠุด ู‡ูŠุฏุฑูˆุฌูŠู† ุชุงู†ู‰ุทู„ุนูˆุง ู…ุนุงูŠุงุŸ
308
+
309
+ 78
310
+ 00:06:24,470 --> 00:06:27,270
311
+ ู…ุงููŠุด ู‡ูŠุฏุฑูˆุฌูŠู† ุชุงู†ูŠ ุฃุดูŠู„ู‡ ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุงู„
312
+
313
+ 79
314
+ 00:06:27,270 --> 00:06:31,310
315
+ tertiary alcohol ุจูŠุตูŠุฑู„ูˆุด ุฃูƒุณุฏุฉ ุนุดุงู† ุจุฏูŠ ุฃูƒุณุฏ ุฃู‚ู„
316
+
317
+ 80
318
+ 00:06:31,310 --> 00:06:36,590
319
+ ุชู‚ุฏูŠุฑ ุจุฏูŠ ุฃุดูŠู„ two hydrogens ู‡ูŠุฏุฑูˆุฌูŠู† ู…ูˆู„ูŠูƒูŠูˆู„ ุฃูˆ
320
+
321
+ 81
322
+ 00:06:36,590 --> 00:06:39,830
323
+ ูŠูƒูˆู† ุนู†ุฏู‰ ู‡ูŠุฏุฑูˆุฌูŠู† ุนู„ู‰ ุงู„ูƒุฑุจูˆู† ุจุนุฏ ู‡ูŠูƒ ุฃุนู…ู„ู‡ุง
324
+
325
+ 82
326
+ 00:06:39,830 --> 00:06:45,210
327
+ ุงุจุฏุงู„ู‡ ูุงู„ tertiary alcohols don't undergo
328
+
329
+ 83
330
+ 00:06:45,210 --> 00:06:51,830
331
+ oxidation ู…ุงุจูŠุตูŠุฑู„ู‡ุงุด ุฃูƒุณุฏุฉ ูˆุงุถุญุŸ ุจูŠุตูŠุฑ ุงู„ุฅุฌู…ุงู„
332
+
333
+ 84
334
+ 00:06:51,830 --> 00:06:56,580
335
+ ุนู†ุฏูƒู… ุณู‡ู„ู…ู† ุงู„ุฐูƒุฑู†ุง ููŠู‡ู… ู„ู…ุง ู†ู‚ูˆู„ ุงู„ Oxidation of
336
+
337
+ 85
338
+ 00:06:56,580 --> 00:07:03,180
339
+ alcoholsุŒ ุงูŠุด ุจุฏู†ุง ู†ู‚ูˆู„ุŸ ุงู„ primary alcohols are
340
+
341
+ 86
342
+ 00:07:03,180 --> 00:07:08,820
343
+ oxidized to aldehydes and then to acids
344
+
345
+ 87
346
+ 00:07:11,660 --> 00:07:15,060
347
+ ุงู„ู†ุงุณ ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด
348
+
349
+ 88
350
+ 00:07:15,060 --> 00:07:19,360
351
+ ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช
352
+
353
+ 89
354
+ 00:07:19,360 --> 00:07:23,160
355
+ ู…ุจุตุฑู„ู‡ู…ุด
356
+
357
+ 90
358
+ 00:07:23,160 --> 00:07:24,380
359
+ ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช
360
+
361
+ 91
362
+ 00:07:24,380 --> 00:07:27,860
363
+ ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด
364
+
365
+ 92
366
+ 00:07:27,860 --> 00:07:30,640
367
+ ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช
368
+
369
+ 93
370
+ 00:07:30,640 --> 00:07:37,100
371
+ ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด
372
+
373
+ 94
374
+ 00:07:37,100 --> 00:07:42,250
375
+ ู„ูƒูŠุชูˆู†ุงุช ู…ุจุตุฑู„ู‡ู…ุด ู„ูƒูŠุชุฃุดูŠุงุก ู…ู‡ู…ุฉ ุฌุฏุง ููŠ ุงู„ูƒูŠู…ูŠุง
376
+
377
+ 95
378
+ 00:07:42,250 --> 00:07:45,510
379
+ ุงู„ุนุถูˆูŠุฉ ูˆ ู‚ุจู„ ุดูˆูŠุฉ ุงู„ุชูุงุนู„ ุงู„ู„ู‰ ุฃุฎุฏู†ุงู‡ ู‚ุจู„ ุนุดุงู†
380
+
381
+ 96
382
+ 00:07:45,510 --> 00:07:51,350
383
+ ุชูƒูˆู†ูˆุง ู…ุชุฐูƒุฑูŠู† ู„ู…ุง ูƒู†ุง ู†ุงุฎุฏ ุงู„ alcohol ู†ุญูˆู„ู‡ ู„ RX
384
+
385
+ 97
386
+ 00:07:51,350 --> 00:08:00,490
387
+ ุงู„ ROH ูƒู†ุง ู†ุญูˆู„ู‡ุง ู„ RX ุงู‡ ุงูƒูŠุฏ ูˆ ุงู„ RX ุฃุฎุฏู†ุง ุงู„ูุตู„
388
+
389
+ 98
390
+ 00:08:00,490 --> 00:08:05,130
391
+ ุงู„ุณุงุฏุณ ูƒู„ู‡ ุนู† ุชูุงุนู„ุงุช ุงู„ RXูˆุงุถุญุŸ ูŠุนู†ูŠ ู†ุต ุงู„
392
+
393
+ 99
394
+ 00:08:05,130 --> 00:08:09,530
395
+ organic chemistry ู…ู† ูˆู† ุจุชุทู„ุน ู…ู† ุงู„ RX ู„ุฃ ูƒู„ ุงู„
396
+
397
+ 100
398
+ 00:08:09,530 --> 00:08:12,510
399
+ organic chemistry ู…ู† ุงู„ alcohol ุงุญู†ุง ุจู†ู‚ูˆู„ ู†ุตู‡ุง ู…ู†
400
+
401
+ 101
402
+ 00:08:12,510 --> 00:08:17,170
403
+ ุงู„ RX ู„ุฅู†ู‡ ุจุชุนู…ู„ SN1 ูˆ SN2 reaction ุงู„ RX ู†ูุณู‡ุง ู…ู†
404
+
405
+ 102
406
+ 00:08:17,170 --> 00:08:20,270
407
+ ูˆู† ุจุชุฌูŠุจู‡ุงุŸ ุงู„ alcohol ุงู„ aldehyde ู…ู† ูˆู† ู…ู…ูƒู†
408
+
409
+ 103
410
+ 00:08:20,270 --> 00:08:23,470
411
+ ู†ุฌูŠุจู‡ุŸ ุงู„ alcohol ุงู„ ketone ู…ู† ูˆู† ู…ู…ูƒู† ู†ุฌูŠุจู‡ุŸ ุงู„
412
+
413
+ 104
414
+ 00:08:23,470 --> 00:08:27,820
415
+ alcohol ุงู„ acid ู…ู† ูˆู† ู…ู…ูƒู† ู†ุฌูŠุจู‡ุŸ ุงู„ alcoholูุฏุงุฆู…ุง
416
+
417
+ 105
418
+ 00:08:27,820 --> 00:08:32,240
419
+ ูƒุงู† ููŠ ู…ู‚ูˆู„ุฉ ุนู†ุฏ ุงู„ูƒูŠู…ูŠุงุฆูŠูŠู† ุฃู†ู‡ ุฅุฐุง ุฃุฎุฏุช ูƒูŠู…ูŠุงุฆูŠ
420
+
421
+ 106
422
+ 00:08:32,240 --> 00:08:35,580
423
+ ูˆ ุญุทูŠุชู‡ ุจุงู„ุตุญุฑุงุก ู‡ูˆ ูˆ ุงู„ alcohol ุจูŠุญุถุฑ ู…ู†ู‡ ูƒู„
424
+
425
+ 107
426
+ 00:08:35,580 --> 00:08:41,120
427
+ ุงู„ุฃุดูŠุงุก ุงู„ุชุงู†ูŠุฉ ูุงู„ alcohol ูŠุนุชุจุฑ ู…ู†ุทู‚ ุงู„ organic
428
+
429
+ 108
430
+ 00:08:41,120 --> 00:08:44,980
431
+ synthesis starting point ูŠุนู†ูŠ ุจุฅู…ูƒุงู†ูŠ ุฃุญุถุฑ ู…ู†ู‡
432
+
433
+ 109
434
+ 00:08:45,520 --> 00:08:49,520
435
+ ุดุบู„ุงุช ูƒุชูŠุฑุฉ ูˆุงุถุญุŸ ูˆุงูŠูƒูˆุง ุดุงูŠููŠู† ุงู„ุชูุงุนู„ ุทุงู„ู…ุง ุงู„
436
+
437
+ 110
438
+ 00:08:49,520 --> 00:08:52,920
439
+ alcohol ุญูˆู„ุชู‡ ู„ RX ู„ aldehyde ู„ ketone ู„ acid ูˆ ุงู„
440
+
441
+ 111
442
+ 00:08:52,920 --> 00:08:57,040
443
+ RX ุจุชุชุญูˆู„ ู„ 100 ุดุบู„ุฉ ุทุจุนุง ุงู„ acid ุจุนุฏูŠู† ุจุชุชุญูˆู„ ู„
444
+
445
+ 112
446
+ 00:08:57,040 --> 00:09:00,360
447
+ ester ุงู„ aldehyde ุจุชุชุญูˆู„ ู„ ุฃุดูŠุงุก ุชุงู†ูŠุฉ ุงู„ ketone
448
+
449
+ 113
450
+ 00:09:00,360 --> 00:09:04,120
451
+ ุจุชุชุญูˆู„ ู„ ุฃุดูŠุงุก ุชุงู†ูŠุฉ ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ู…ุนุชู…ุฏ ุนู„ู‰ ุฅูŠุดุŸ
452
+
453
+ 114
454
+ 00:09:04,120 --> 00:09:10,910
455
+ ุงู† ุงู†ุง ุงู†ุทู„ู‚ุช ู…ู† ุงู„ alcoholู‡ู†ุง ุจู†ุณุชุนุฑุถ ุจุณ ู…ุฌุฑุฏ
456
+
457
+ 115
458
+ 00:09:10,910 --> 00:09:16,590
459
+ ุงุณุชุนุฑุงุถ ุจุนุถ ุงู„ู…ุฑุงูƒุจุงุช ุงู„ู„ูŠ ููŠู‡ู… dihydroxy or more
460
+
461
+ 116
462
+ 00:09:16,590 --> 00:09:22,630
463
+ compounds ูŠุนู†ูŠ ู…ุด ุจุณ OH ูˆุงุญุฏุฉ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏู‡ ุฃูƒุชุฑ
464
+
465
+ 117
466
+ 00:09:22,630 --> 00:09:27,450
467
+ ู…ู† OH ูŠุนู†ูŠ ู…ุซู„ุง ู„ูˆ ูƒุงู†ูˆุง ุชู†ุชูŠู† ู…ุนู†ุง ุฐู„ูƒ ุจุชุญูƒูŠ ุนู†
468
+
469
+ 118
470
+ 00:09:27,450 --> 00:09:30,550
471
+ ุฏูŠูˆู„ in general ู„ูˆ ูƒุงู†ูˆุง ุชู„ุงุชุฉ
472
+
473
+ 119
474
+ 00:09:48,920 --> 00:09:55,520
475
+ ู…ุงุฑ ุนู„ูŠูƒู… ุงุณุชุนู…ุงู„ุชู‡ ููŠ ุงู„ู€ antifreezeุŸู„ู…ุง ูƒู†ุง
476
+
477
+ 120
478
+ 00:09:55,520 --> 00:09:59,340
479
+ ู†ุฎู„ุทู‡ ู…ุน ุงู„ู…ูŠู‡ ูˆ ูŠุนู…ู„ melting point depression
480
+
481
+ 121
482
+ 00:09:59,340 --> 00:10:05,060
483
+ ู„ุฑุฏุงุชุฑ ุงู„ุณูŠุงุฑุฉ ู„ู„ู…ุจุฑุฏุงุช ุงูˆ ุงู„ุณูŠุงุฑุฉ ุงู„ุงู† ู„ุงุญุธูˆุง ู„ูŠุด
484
+
485
+ 122
486
+ 00:10:05,060 --> 00:10:10,660
487
+ ุงุญู†ุง ุจูŠู†ูุน ู‡ุฐุง ู†ุณุชุนู…ู„ู‡ ู…ุน ุงู„ู…ูŠู‡ ูˆ ู†ุญุทู‡ ููŠ ุฑุฏุงุชุฑ
488
+
489
+ 123
490
+ 00:10:10,660 --> 00:10:14,320
491
+ ุงู„ุณูŠุงุฑุฉ ูˆ ุจูŠุนู…ู„ melting point depression ู„ุงู† ุฏุฑุฌุฉ
492
+
493
+ 124
494
+ 00:10:14,320 --> 00:10:18,140
495
+ ุบู„ูŠุงู†ู‡ ุนุงู„ูŠุฉ ู…ุงุจุชุทูŠุฑุด ูŠุนู†ูŠ ู…ูŠุฒุชู‡ ู„ุงู†ู‡ ุจุฏูŠ ุงุณุชุนู…ู„ู‡
496
+
497
+ 125
498
+ 00:10:18,140 --> 00:10:23,660
499
+ ููŠ ู…ูŠู‡ ุงู„ุณูŠุงุฑุฉ ู…ุทู„ูˆุจ ู…ู†ู‡ ุนุฏุฉ ุดุบู„ุงุช ูŠูƒูˆู† ุฑุฎูŠุตุฃู‡ู…
500
+
501
+ 126
502
+ 00:10:23,660 --> 00:10:27,880
503
+ ุฅุดูŠ ุจุฏู‡ ูŠูƒูˆู† ุฑุฎูŠุต ู„ุฅู† ุฃู†ุง ุจุณุชุนู…ู„ู‡ ู„ู„ุงุณุชู‡ู„ุงูƒุŒ ุดุบู„ุฉ
504
+
505
+ 127
506
+ 00:10:27,880 --> 00:10:32,930
507
+ ุชุงู†ูŠุฉ ุจุฏู‡ุด ูŠุชุจุฎุฑุดุบู„ ุชุงู„ุชุง ุจุฏูˆุด ูŠุนู…ู„ ู…ุดุงูƒู„ ููŠ
508
+
509
+ 128
510
+ 00:10:32,930 --> 00:10:37,830
511
+ ุงู„ู…ูˆุชูˆุฑ ุจุฏูˆุด ูŠูƒูˆู† ุณุงู… ู„ุฅุณุชุนู…ุงู„ ุงู„ุจุดุฑ ุงู„ุนุงุฏูŠูŠู† ูƒู„
512
+
513
+ 129
514
+ 00:10:37,830 --> 00:10:41,410
515
+ ู‡ุฐู‡ ุงู„ู…ูˆุงุตูุงุช ู…ูˆุฌูˆุฏุฉ ููŠู‡ ูุจุฎู„ุทูˆุง ุฅุซู„ูŠู„ ุฌู„ูŠูƒูˆู„ ู…ุน
516
+
517
+ 130
518
+ 00:10:41,410 --> 00:10:45,070
519
+ ุงู„ู…ูŠู‡ ููŠ ุงู„ุฏูˆู„ ุงู„ุจุงุฑุฏุฉ ูƒุชูŠุฑ ุฎูˆู ุฃู†ู‡ ุงู„ู…ูŠู‡ ุงู„ู„ูŠ ููŠ
520
+
521
+ 131
522
+ 00:10:45,070 --> 00:10:49,710
523
+ ุงู„ุณูŠุงุฑุฉ ุชุชุฌู…ุฏ ูˆุจุงู„ุชุงู„ูŠ ูƒู„ ู†ุธุงู… ุงู„ุชุจุฑูŠุฏ ูˆู†ุธุงู…
524
+
525
+ 132
526
+ 00:10:49,710 --> 00:10:55,890
527
+ ุงู„ุชุดุบูŠู„ ุจุฎุชู„ุท ุชุนุฑููŠู† ุทุจุนุง ู„ูŠุด ุงู„ุณูŠุงุฑุงุช ู„ุงุฒู… ู†ุญุทู„ู‡ุง
528
+
529
+ 133
530
+ 00:10:55,890 --> 00:11:00,120
531
+ ู…ูŠู‡ ูˆู„ุง ู„ุฃุŸู„ูˆุญุฏุฉ ุจุฏู‡ ุชุดุฑุญู„ู†ุง ู„ูŠุด .. ู„ูŠุด ุจู†ุญุท
532
+
533
+ 134
534
+ 00:11:00,120 --> 00:11:05,420
535
+ ู„ู„ุณูŠุงุฑุฉ ู…ูŠู‡ุŸ ุทุจ
536
+
537
+ 135
538
+ 00:11:05,420 --> 00:11:10,940
539
+ ู„ูŠุด ุงู„ู…ุญุฑูƒ ูŠุณุฎู†ุŸ
540
+
541
+ 136
542
+ 00:11:10,940 --> 00:11:16,040
543
+ ุทุจ ุฃู†ุง ุจุฏูŠุด .. ุฃู†ุง ุจุฏูŠุด .. ุจุฏูŠุด ุญุฑุงุฑุฉ ุฃู†ุง ุจุฏูŠ ุญุฑูƒุฉ
544
+
545
+ 137
546
+ 00:11:16,040 --> 00:11:21,200
547
+ ู„ูŠุด .. ู„ูŠุด ุงู„ุทุงู‚ุฉ ู…ุงูƒู„ู‡ุง ุฃุญูˆู„ู‡ุง ุฅู„ู‰ ุญุฑูƒุฉุŸ ุฃู†ุง ุงู„ุฃู†
548
+
549
+ 138
550
+ 00:11:21,200 --> 00:11:26,360
551
+ ู†ุงุฌุณู†ูŠ ุญุฑุงุฑุฉุŸู†ุงุฌุณู†ูŠ ุญุฑุงุฑุฉ ูˆ ุงู„ุณูŠุงุฑุฉ ุชูˆู„ุน ู†ุงุฑ ูˆ
552
+
553
+ 139
554
+ 00:11:26,360 --> 00:11:31,780
555
+ ู‡ู„ูˆู… ู…ุฌุฑู† ูˆู„ุง ุงู„ู…ุทู„ูˆุจ ู…ู†ูŠ ุงู„ุญุฑูƒุฉุŸ ู…ุทู„ูˆุจ ู…ู†ูŠ
556
+
557
+ 140
558
+ 00:11:31,780 --> 00:11:37,040
559
+ ุงู„ุญุฑูƒุฉุŒ ู…ุธุจูˆุท ูˆู„ุง ู„ุงุŸ ุงู‡ ู„ูƒู† ู‡ู„ ุจู†ู‚ุฏุฑ .. ู‡ู„ ุจู†ู‚ุฏุฑ
560
+
561
+ 141
562
+ 00:11:37,040 --> 00:11:42,660
563
+ ุงุญู†ุง ู†ุญูˆู„ ูƒู„ ุงู„ุทุงู‚ุฉ ุงู„ู„ูŠ ููŠ ุงู„ูˆู‚ูˆุฏ ุฅู„ู‰ ุทุงู‚ุฉ ูŠุนู†ูŠ
564
+
565
+ 142
566
+ 00:11:42,660 --> 00:11:48,640
567
+ ..ุงู„ู‰ ุดุบู„ ุจุฏูˆู† ู…ุง ูŠุทู„ุน ุนู†ุฏูŠ thermal energy ุชุฐูƒุฑูˆุง
568
+
569
+ 143
570
+ 00:11:48,640 --> 00:11:51,420
571
+ ุงู„ thermodynamic ุงู„ู„ูŠ ุฃุฎุฏุชู‡ ูุงู„ุญุฑุงุฑุฉ ุจุชุทู„ุน ู…ุด
572
+
573
+ 144
574
+ 00:11:51,420 --> 00:11:56,380
575
+ ุจุฎุงุทุฑู†ุง ุบุตุจ ุนู†ู‡ุง ูŠุนู†ูŠ ุจูŠู‚ูˆู„ูˆุง ุฃุญุณู† ุฃุญุณู† motor ูŠู…ูƒู†
576
+
577
+ 145
578
+ 00:11:56,380 --> 00:12:01,020
579
+ ูŠุดุชุบู„ ุนู„ู‰ ุฃุฑุจุนูŠู† ู„ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ู…ุชูˆู‚ุน ู…ู†ู‡
580
+
581
+ 146
582
+ 00:12:01,020 --> 00:12:06,600
583
+ ุจุนุฏ ุฐู„ูƒ ูƒู„ ุงู„ุทุงู‚ุฉ ูˆูŠู† ุจุชุฑูˆุญุŸ ุจุชุทู„ุน ุญุฑุงุฑุฉ ูุงู„ุญุฑุงุฑุฉ
584
+
585
+ 147
586
+ 00:12:06,600 --> 00:12:09,840
587
+ ุนุงู…ู„ุฉ ุนู†ุฏูŠ ุดุบู„ุชูŠู† ู…ุดูƒู„ุชูŠู† ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃูˆู„ู‰ ุงู† ู‡ูŠ
588
+
589
+ 148
590
+ 00:12:09,840 --> 00:12:15,350
591
+ ุจุชุฎุณุฑู†ูŠูˆู‚ูˆุฏ ู„ุงู† ุงู†ุง ู…ุงุจุฏูŠุด ุงู„ุญุฑุงุฑุฉ ูˆุงู„ู…ุดูƒู„ุฉ
592
+
593
+ 149
594
+ 00:12:15,350 --> 00:12:18,350
595
+ ุงู„ุชุงู†ูŠุฉ ุงู† ุงู†ุง ุจุฏูŠ ุงุนุงู„ุฌ ุงู„ุญุฑุงุฑุฉ ุนุดุงู† ุงู„ุณูŠุงุฑุฉ ู…ุง
596
+
597
+ 150
598
+ 00:12:18,350 --> 00:12:22,670
599
+ ุชุณุฎู†ุด ูˆู…ุง ุฅู„ู‰ ุฐู„ูƒ ูุจู†ุนู…ู„ ู†ุธุงู… ุงู„ุชุจุฑูŠุฏ ุงู„ู„ูŠ ู‡ูˆ ู†ุธุงู…
600
+
601
+ 151
602
+ 00:12:22,670 --> 00:12:27,290
603
+ ุงู„ู…ูŠู‡ ุงู„ู„ูŠ ุจุชุฏูˆุฑ ูˆ ุจุชุงุฎุฏ ุงู„ุญุฑุงุฑุฉ ูˆ ุจุชุนุฑุถู‡ุง ู„ู„ู‡ูˆุง ูˆ
604
+
605
+ 152
606
+ 00:12:27,290 --> 00:12:31,810
607
+ ุงู„ู…ุฑูˆุญุฉ ุจุชุนู…ู„ ุนู…ู„ูŠุฉ ุฅุด ุชุจุฑูŠุฏ ูุงู„ุญุฑุงุฑุฉ ุจุงู„ุฅุฌู…ุงู„
608
+
609
+ 153
610
+ 00:12:31,810 --> 00:12:35,520
611
+ ุงู„ู„ูŠ ููŠ ุงู„ุณูŠุงุฑุฉ ุทุงู„ุนุฉ ุบุตุจุง ุนู†ุงู„ู†ุงุณ ู…ุด ุจุฎุงุทุฑู‡ู…
612
+
613
+ 154
614
+ 00:12:35,520 --> 00:12:39,920
615
+ ูŠุงุฑูŠุช ุงู„ุนู„ู…ุงุก ูŠู‚ุฏุฑูˆุง ูŠุทู„ุนูˆุง ูƒู„ ุงู„ุทุงู‚ุฉ ู†ุงุชุฌุฉ ู…ู†
616
+
617
+ 155
618
+ 00:12:39,920 --> 00:12:44,640
619
+ ุงู„ุญุฑู‚ ูŠุญูˆู„ูˆู‡ุง ุฅู„ู‰ ุญุฑูƒุฉ ูˆู…ุงูŠุทู„ุนุด ุนู†ุฏู‡ ุญุฑุงุฑุฉ ู…ู†ุงู‡ู…
620
+
621
+ 156
622
+ 00:12:44,640 --> 00:12:50,060
623
+ ู„ู„ุนู„ู…ุงุก ุจุณ ู…ุณุชุญูŠู„ ู„ุง ูŠู…ูƒู† ุชุญูˆูŠู„ ูƒู„ ุงู„ุทุงู‚ุฉ ุฅู„ู‰ ุดุบู„
624
+
625
+ 157
626
+ 00:12:50,060 --> 00:12:53,480
627
+ ุชุฐูƒุฑูˆุง ุงู„ุทุงู‚ุฉ ู…ุด ูƒุงู†ุช ุชุชุญูˆู„ ุฅู„ู‰ ุทุงู‚ุฉ ุญุฑุงุฑุฉ ูˆุทุงู‚ุฉ
628
+
629
+ 158
630
+ 00:12:53,480 --> 00:13:00,660
631
+ ุดุบู„ ุจุงู„ู…ู†ุงุณุจุฉ ูŠู…ูƒู† ุชุญูˆูŠู„ ูƒู„ ุงู„ุทุงู‚ุฉ ุฅู„ู‰ ุญุฑุงุฑุฉุจู‚ุฏุฑ
632
+
633
+ 159
634
+ 00:13:00,660 --> 00:13:06,080
635
+ ุจู…ุนู†ู‰ ู„ูˆ ุฃู†ุง ุฌูŠุจุช ู…ุตุจุงุญ ุซุงุจุช ูˆุดุบู„ุชู‡ ุนู„ู‰ ุทุงู‚ุฉ ู…ุนูŠู†ุฉ
636
+
637
+ 160
638
+ 00:13:06,080 --> 00:13:09,380
639
+ ุงู„ู…ุตุจุงุญ ุทุงู‚ุฉ ุญุฑุงุฑูŠุฉ ู…ุงููŠุด ุนู†ุฏู‰ ูˆู„ุง ู†ูˆุน ู…ู† ุงู„ุญุฑูƒุฉ
640
+
641
+ 161
642
+ 00:13:09,380 --> 00:13:14,820
643
+ ู„ุญุฏ ู…ุง ุชูุถู„ ุจุทุงุฑูŠุฉ ุจู†ู‚ุฏุฑ ู†ูุถู„ ุจุทุงุฑูŠุฉ ุจุดูƒู„ ูƒุงู…ู„ ุจุณ
644
+
645
+ 162
646
+ 00:13:14,820 --> 00:13:18,200
647
+ ุทู„ุน ุนู†ุฏู‰ ุญุฑุงุฑุฉ ูŠุนู†ูŠ ูƒู„ ุงู„ุทุงู‚ุฉ ู…ู…ูƒู† ุฃุญูˆู„ู‡ุง 100%
648
+
649
+ 163
650
+ 00:13:18,200 --> 00:13:22,420
651
+ ู„ุญุฑุงุฑุฉ ุจุณ ุงู„ุฅุดูƒุงู„ูŠุฉ ุงู„ุฃู† ู„ูˆ ุจุฏู‰ ุฃุดุบู„ ู…ุงุชูˆุฑ ู‡ู„ ูƒู„
652
+
653
+ 164
654
+ 00:13:22,420 --> 00:13:27,600
655
+ ุงู„ุทุงู‚ุฉ ุงู„ู„ู‰ ููŠ ุงู„ุจุทุงุฑูŠุฉ ุจู‚ุฏุฑ ุฃุญูˆู„ู‡ุง ุฅู„ู‰ ุทุงู‚ุฉ ุญุฑูƒุฉ
656
+
657
+ 165
658
+ 00:13:28,330 --> 00:13:32,650
659
+ ุงู„ุฏู„ูŠู„ ู‡ูŠ ุงู† ู„ูˆ ุญุณูŠุช ุงู„ู…ูˆุชูˆุฑ ุจุนุฏ ุดูˆูŠุฉ ุจู„ุงู‚ูŠู‡ ุณุฎู†
660
+
661
+ 166
662
+ 00:13:32,650 --> 00:13:37,810
663
+ ุงุฐุง ุฌุฒุก ู…ู† ุงู„ุทุงู‚ุฉ ุจุฏูˆู† ุฅุฑุงุฏุฉ ุงู„ุฅู†ุณุงู† ุงุชุญูˆู„ ุฅู„ู‰
664
+
665
+ 167
666
+ 00:13:37,810 --> 00:13:42,150
667
+ ุญุฑุงุฑุฉ ู‡ุฐู‡ ุงู„ุญุฑุงุฑุฉ ู‡ูŠ ุงู„ู„ูŠ ุจุชุทู„ุจ ู…ู† ุงู„ุฅู†ุณุงู† ุฏุงูŠู…ุง
668
+
669
+ 168
670
+ 00:13:42,150 --> 00:13:46,050
671
+ ู…ุฑุงูˆุญ ุจุชู„ุงู‚ูŠ ุงู„ูƒู…ุจูŠูˆุชุฑ ููŠู‡ ู…ุฑูˆุญุฉ ูˆ ู…ุฑุงุช ุจุชุญุณูˆู‡ุง
672
+
673
+ 169
674
+ 00:13:46,050 --> 00:13:51,470
675
+ ุจุชุทู„ู‚ู‡ุงู„ู‡ูˆุงุก ุงู„ุณุฎู† ุงู„ุณูŠุงุฑุฉ ู„ู‡ุง ู…ุฑูˆุญุฉ ุงู„ุงู† ู†ุธุงู…
676
+
677
+ 170
678
+ 00:13:51,470 --> 00:13:54,850
679
+ ุงู„ุชุจุฑูŠุฏ ุชุจุน ุงู„ู…ูŠุงู‡ ููŠ ุงู„ุฏูˆู„ ุงู„ุจุงุฑุฏุฉ ู…ุงุฐุง ูŠุญุตู„ุŸ
680
+
681
+ 171
682
+ 00:13:54,850 --> 00:13:58,530
683
+ ุงู„ู…ูŠุงู‡ ุชุชุฌู…ุฏ ุนู†ุฏ ุงู„ุณูุฑ ุงู†ุง ุจุงุฎุฏู‡ุง ุชุชุฌู…ุฏ ูˆ ุงู†ุง
684
+
685
+ 172
686
+ 00:13:58,530 --> 00:14:03,050
687
+ ุงู†ุงู‚ุต ุฎู…ุณุฉ ุงุดู‡ุฑ ู…ุง ุงุถูŠูู„ู‡ุง ุงุซู„ูŠู† ูƒู„ุงูŠูƒูˆู„ ุงู…ู† ูˆ
688
+
689
+ 173
690
+ 00:14:03,050 --> 00:14:11,050
691
+ ู…ุงููŠ ู…ุดูƒู„ุฉ ูˆ ุจุฎูุถ ู†ู‚ุทุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู†ุตู‡ุงุฑ ุงู„ melting
692
+
693
+ 174
694
+ 00:14:11,050 --> 00:14:14,650
695
+ point ู„ู„ู…ูŠุงู‡ ุจุนู…ู„ melting point depression ุงุฎุฏุช
696
+
697
+ 175
698
+ 00:14:14,650 --> 00:14:23,510
699
+ ุงู„ุญุณุงุจุงุช ุจุชุญูŠุงู„ูŠDelta T ุจูŠุณุงูˆูŠ K ููŠ ุงู„ mass Delta
700
+
701
+ 176
702
+ 00:14:23,510 --> 00:14:27,370
703
+ T ู…ู‚ุฏุงุฑ ุงู„ุงู†ุฎูุงุถ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ melting point
704
+
705
+ 177
706
+ 00:14:27,370 --> 00:14:34,670
707
+ depression K ููŠ ุงู„ morality ุฃูŠูˆุฉ
708
+
709
+ 178
710
+ 00:14:34,670 --> 00:14:37,570
711
+ ููŠ ุงู„ูƒูŠู…ูŠุง ุจู‚ู‰ ู…ุง ู„ุง ูˆ ู…ุง ู„ุง ู…ุด ู‡ุณุฃู„ูƒูˆุง ุนู†ู‡ุง ููŠ
712
+
713
+ 179
714
+ 00:14:37,570 --> 00:14:44,900
715
+ ุงู„ุงู…ุชุญุงู† ุงู„ุขู† ู…ุงุฏุฉ ุชุงู†ูŠุฉุงู„ู„ูŠ ููŠู‡ุง ุชู„ุช ู…ุฌู…ูˆุนุงุช OH
716
+
717
+ 180
718
+ 00:14:44,900 --> 00:14:50,300
719
+ 123-propanetriol 123-propanetriol ุงู„ู„ูŠ ู‡ูˆ ุงู„
720
+
721
+ 181
722
+ 00:14:50,300 --> 00:14:53,480
723
+ glycerol ุฃูˆ ุงู„ glycerin ู‡ุฐุง ุงู„ู„ูŠ ุจูŠุญุทูˆู‡ ุนู„ู‰
724
+
725
+ 182
726
+ 00:14:53,480 --> 00:14:57,700
727
+ ุงู„ุฅูŠุฏูŠู† ูˆ ู…ุฑุชุจ ูˆ ุจูŠุฏุฎู„ ููŠ ุตู†ุงุนุฉ ุงู„ุตูˆุงุจูŠู† ูˆ
728
+
729
+ 183
730
+ 00:14:57,700 --> 00:15:01,620
731
+ ุงู„ุดุงู…ุจูˆุญุงุช ู„ุญุธุฉ ู‡ุฐุง ุงู„ boiling point ุชุจุนู‡ 290
732
+
733
+ 184
734
+ 00:15:01,620 --> 00:15:06,300
735
+ ุนุงู„ูŠุฉ ุฌุฏุง ู„ูŠุดุŸ ู„ุฃู†ู‡ ููŠ ุชู„ุช ู…ุฌู…ูˆุนุงุช OH ุจุชุนู…ู„
736
+
737
+ 185
738
+ 00:15:08,860 --> 00:15:17,180
739
+ ุงู„ุณูˆุฑุจูŠ ุทูˆู„ ุงู„ู…ุงุฏุฉ ุงู„ู…ุทู‡ุฑุฉ 123456 hexane hexaol
740
+
741
+ 186
742
+ 00:15:17,180 --> 00:15:24,460
743
+ ูŠุนู†ูŠ ููŠ ุณุช ู…ุฌู…ูˆุนุงุช OH ุนุดุงู†ูƒ ุจุชู„ุงุญุธูˆุง ุงู† ุงู„ boiling
744
+
745
+ 187
746
+ 00:15:24,460 --> 00:15:28,620
747
+ point ุจุชุฑุชูุน ูƒุชูŠุฑ ู„ุฏุฑุฌุฉ ุงู† ู‡ูˆ ููŠ ุงู„ุขุฎุฑ ุจุตูŠุฑ solid
748
+
749
+ 188
750
+ 00:15:29,640 --> 00:15:33,080
751
+ ู„ุญุธุฉ ุงู†ุง ู…ุง ุจุญูƒูŠุด ุนู† boiling point melting point
752
+
753
+ 189
754
+ 00:15:33,080 --> 00:15:37,600
755
+ ูŠุนู†ูŠ ุงุชุญูˆู„ ุงู„ู‰ solid ู‡ู†ุง ุจูŠู‚ูˆู„ ุงู†ู‡ ุงู„ู…ุฑูƒุจ ู†ูˆุนุง ู…ุง
756
+
757
+ 190
758
+ 00:15:37,600 --> 00:15:42,940
759
+ ุจูŠุตูŠุฑ oil ูˆ viscous ู…ุด ู…ุด ุฒูŠ ุงู„ู…ูŠู‡ ูˆู‡ู†ุง ุงุนู„ู‰ ู‡ู†ุง
760
+
761
+ 191
762
+ 00:15:42,940 --> 00:15:46,080
763
+ ุงู„ boiling point ูŠู…ูƒู† ุชุตู„ ุงู„ 400 500 ุจุณ ุจูŠุตูŠุฑ
764
+
765
+ 192
766
+ 00:15:46,080 --> 00:15:49,840
767
+ ูŠุชูƒุณุฑ ูุงู„ู…ุฑูƒุจ ูƒู„ู‡ ุจุชุญูˆู„ ุงู„ู‰ solid ูƒูˆู†ู‡ ุตุงุฑ solid
768
+
769
+ 193
770
+ 00:15:49,840 --> 00:15:55,470
771
+ ู…ู† ูˆูŠู† ู‡ุฐุง ุตุงุฑ solid ู…ู† ุงู„ hydrogen bondingู‡ุฏูˆู„ุฉ
772
+
773
+ 194
774
+ 00:15:55,470 --> 00:15:59,570
775
+ ุชู„ุช ู…ุฑุงูƒุจุงุช ุงู†ุง ุจูุชุฑุถ ุงู†ู‡ ุทุงู„ุจุฉ ูƒูŠู…ูŠุง ุงูˆ ุทุงู„ุจุฉ
776
+
777
+ 195
778
+ 00:15:59,570 --> 00:16:01,890
779
+ ุนู„ูˆู… ุชูƒูˆู† ุนุงุฑูุฉ ู‡ู…ุŒ ูŠุนู†ูŠ ู„ูˆ ุงู†ุณุฃู„ุช ุงูŠุด ุงู„
780
+
781
+ 196
782
+ 00:16:01,890 --> 00:16:05,790
783
+ glycerinุŒ ุชูƒูˆู† ุนุงุฑูุฉ ุงูŠุด ุงู„ glycerinุŒ ู„ูˆ ุงู†ุณุฃู„ุช
784
+
785
+ 197
786
+ 00:16:05,790 --> 00:16:08,850
787
+ ุงูŠุด ุงู„ ethylene glycolุŒ ุชูƒูˆู† ุนุงุฑูุฉุŒ ู„ูˆ ุงู†ุณุฃู„ุช ุงูŠุด
788
+
789
+ 198
790
+ 00:16:08,850 --> 00:16:14,120
791
+ ุงู„ sorbitolุŒ ุชูƒูˆู† ุนุงุฑูุฉููŠ ู…ุฑุงูƒุจุงุช polyhydroxy
792
+
793
+ 199
794
+ 00:16:14,120 --> 00:16:17,820
795
+ compounds aromatic ู…ุง ุจุทู„ุจุด ู…ู†ูƒูˆุง ุชุญูุธูˆู‡ู… ุจุณ
796
+
797
+ 200
798
+ 00:16:17,820 --> 00:16:22,300
799
+ ุชูƒูˆู†ูˆุง ุนุงุฑููŠู† ู‡ู… ุงู„ูƒุงุชูŠูƒูˆู„ ุจู…ุฌู…ูˆุนุชูŠู† OH ุนู† ุฃูˆุฑุซูˆ
800
+
801
+ 201
802
+ 00:16:22,300 --> 00:16:28,140
803
+ ูˆุงู„ resource lone ุนู† ู…ูŠุชุง ูˆุงู„ู‡ูŠุฏุฑูˆูƒูˆูŠู†ูˆู† ุนู„ู‰
804
+
805
+ 202
806
+ 00:16:28,140 --> 00:16:34,700
807
+ ุงู„ุจุงุฑุง ูˆู„ู…ู‘ุง ูŠุตูŠุฑูˆุง ุชู„ุงุชุฉ ุงู„ ุจูŠุฑูˆุฌุงู„ูˆู† ุงู„ู…ู‡ู… ุงู†ู‡
808
+
809
+ 203
810
+ 00:16:34,700 --> 00:16:38,000
811
+ ุชุนุฑููˆุง ููŠ ูƒุชูŠุฑ ู…ุฑุงูƒุจุงุช ูˆุฅู„ุง ููŠ ุงู„ุชุทุจูŠู‚ุงุช ูˆุฅู„ุง ููŠ
812
+
813
+ 204
814
+ 00:16:38,000 --> 00:16:40,800
815
+ ุงู„ biological system ุจุงู„ุฐุงุช ุงู„ูƒุงุชูŠูƒูˆู„ ุฏุงูŠู…ุง
816
+
817
+ 205
818
+ 00:16:40,800 --> 00:16:44,450
819
+ ู‡ุชุตูŠุฑูˆุง ุชุณู…ุนูˆุงููŠ ูƒูˆุฑุณุงุช ุงู„ุจูŠูˆู„ูˆุฌูŠุง ุนู† ูƒุงุชูŠูƒูˆู„ุงู…ูŠู†
820
+
821
+ 206
822
+ 00:16:44,450 --> 00:16:49,730
823
+ ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ู„ูƒู† ุฃู‚ู„ ุชู‚ุฏูŠุฑ ุงู„ู„ูŠ ููˆู‚ ุจุฏูŠูƒูˆุง ุชูƒูˆู†ูˆุง
824
+
825
+ 207
826
+ 00:16:49,730 --> 00:16:55,190
827
+ ุฅูŠุดุŸ ุนุงุฑููŠู† ู‡ู… ุงู„ู…ูˆุถูˆุน
828
+
829
+ 208
830
+ 00:16:55,190 --> 00:17:01,450
831
+ ุงู„ู„ูŠ ู‡ู†ุง ุนู„ู‰ ุชูุงุนู„ุงุช ุงู„ phenols ู…ุด ุงู„ alcohols ุงู„
832
+
833
+ 209
834
+ 00:17:01,450 --> 00:17:05,570
835
+ phenols ุฃู‡ู… ุดูŠุก ุชุนุฑููˆุง ุฃู†ู‡ ู„ู…ุง ุจูŠูƒูˆู† ุนู†ุฏ ุฃู†ุง
836
+
837
+ 210
838
+ 00:17:05,570 --> 00:17:10,970
839
+ phenol ุงู„ OH ุฃุฎุฏุชู‡ ู…ูˆุงุตูุงุช ุฅู„ูŠู‡ุง ุฅูŠุด ู…ูˆุงุตูุงุช ุงู„
840
+
841
+ 211
842
+ 00:17:10,970 --> 00:17:20,270
843
+ OHุŸactivating ูˆู„ุง deactivatingุŸ ุงูƒุชููŠุชู†ุฌ
844
+
845
+ 212
846
+ 00:17:20,270 --> 00:17:23,430
847
+ ูˆุงู„ุดุบู„
848
+
849
+ 213
850
+ 00:17:23,430 --> 00:17:30,110
851
+ ุงู„ุชุงู†ูŠ ุงูˆุฑุซูˆ ุจุงุฑุง ุฏูŠุฑูƒุชุฑ ุฌุฑูˆุจุงู„ุงู† ุงู„ู€ OH
852
+
853
+ 214
854
+ 00:17:30,110 --> 00:17:33,990
855
+ -Activating ูˆ Orthobaradirecting group ุจุนุฏ ุฐู„ูƒ
856
+
857
+ 215
858
+ 00:17:33,990 --> 00:17:37,590
859
+ ุชุนู…ู„ ุงู„ุชูุงุนู„ุงุช ุงู„ุงุฑูˆู…ุงุชูŠูƒ ุณุจุณุชูŠูˆุดู† ุนุงุฏูŠ ูŠุนู†ูŠ ู„ูˆ
860
+
861
+ 216
862
+ 00:17:37,590 --> 00:17:40,390
863
+ ุงุณุชุนู…ู„ุช ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃู„ูˆู…ู†ูŠูˆู… ูƒู„ูˆุฑุงูŠุช ุณูŠุถุน
864
+
865
+ 217
866
+ 00:17:40,390 --> 00:17:42,590
867
+ ู…ุฌู…ูˆุนุฉ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ
868
+
869
+ 218
870
+ 00:17:42,590 --> 00:17:44,310
871
+ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ
872
+
873
+ 219
874
+ 00:17:44,310 --> 00:17:45,030
875
+ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ
876
+
877
+ 220
878
+ 00:17:45,030 --> 00:17:45,150
879
+ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ๏ฟฝ๏ฟฝูˆ ุฃุซุฑูŠ
880
+
881
+ 221
882
+ 00:17:45,150 --> 00:17:45,410
883
+ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ
884
+
885
+ 222
886
+ 00:17:45,410 --> 00:17:45,730
887
+ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃุซุฑูŠ ูƒู„ูˆุฑุงูŠุช ุฃูˆ ุฃ
888
+
889
+ 223
890
+ 00:17:50,500 --> 00:17:54,740
891
+ ูˆ ู…ู…ูƒู† ุชุถูŠู ุงู„ู€ H2SO4 ูˆ ุชุถูŠู ุงู„ู€ Nitro ุนู„ู‰ ุงู„ุจุงุฑุฉ
892
+
893
+ 224
894
+ 00:17:54,740 --> 00:17:59,440
895
+ ู„ูˆ ุถูŠูุช ุงู„ู€ PR ู…ู† ูƒุชุฑ ู…ูŠุฉ activating ุจุชุถูŠู ุนู„ู‰
896
+
897
+ 225
898
+ 00:17:59,440 --> 00:18:05,860
899
+ ุงู„ุชู„ุช ู…ูˆุงู‚ุน ูƒู…ุงู† ู…ุด ุนู„ู‰ ู…ูˆู‚ุน ูˆุงุญุฏ ูˆุงุถุญุŸ ูู„ูˆ ุฌูŠุจู†ุง
900
+
901
+ 226
902
+ 00:18:05,860 --> 00:18:10,500
903
+ ู„ูƒู… ุงูƒู…ุงู„ ุงูŠ ู…ุนุงุฏู„ุฉ ู…ู†ุทู„ู‚ูŠู† ู…ู† ุงู„ phenol ุงู„ู„ูŠ ู‡ูˆ
904
+
905
+ 227
906
+ 00:18:10,500 --> 00:18:15,020
907
+ ุงู„ู…ุฑูƒุจ ุงู„ู„ูŠ ููŠ ุงู„ OH ุจุชูƒูˆู† ุชุชุฐูƒุฑ ุงู† ุงู„ุชูุงุนู„ ุณุฑูŠุน ูˆ
908
+
909
+ 228
910
+ 00:18:15,020 --> 00:18:18,260
911
+ ุงู„ุชูุงุนู„ Orthobara
912
+
913
+ 229
914
+ 00:18:19,660 --> 00:18:25,460
915
+ ุฏุฑูƒุชูŠู† ุฌุฑูˆุจ ู…ูˆุฌูˆุฏุฉ ููŠู‡ ุนู„ู‰ ุงู„ููŠู†ูˆู„ุฒ ุงู„ุงู† ู‡ู†ุง
916
+
917
+ 230
918
+ 00:18:25,460 --> 00:18:31,840
919
+ ุจูŠุฌูŠู†ุง ุดุบู„ ุงู†ู‡ ู…ุฑูƒุจุงุช ุงู„ููŠู†ูˆู„ุฒ ู…ุฑูƒุจุงุช ุงู„ููŠู†ูˆู„ุฒ ู„ู‡ุง
920
+
921
+ 231
922
+ 00:18:31,840 --> 00:18:37,480
923
+ ุชุทุจูŠู‚ ูƒุชูŠุฑ ู…ู‡ู… ุฌุฏุง ู„ู‡ุง ุชุทุจูŠู‚ ูƒุชูŠุฑ ู…ู‡ู… ุฌุฏุง ู„ูˆ ุจุณ
924
+
925
+ 232
926
+ 00:18:37,480 --> 00:18:40,560
927
+ ุจุฏูƒูˆุง ุชุถุฑุจูˆุง ุนู„ู‰ ุงู„ุงู†ุชุฑู†ุช ููŠ ุงู„ google search
928
+
929
+ 233
930
+ 00:18:40,560 --> 00:18:47,400
931
+ ู‡ูŠุทู„ุนู„ูƒูˆุง ุนุดุฑุงุช ุฃู„ุงู ุงู„ุฃุจุญุงุซุจุณ ุงูƒุชุจูˆุง Antioxidant
932
+
933
+ 234
934
+ 00:18:47,400 --> 00:18:52,800
935
+ Phenols ู‡ูŠ ู…ูˆุงุฏ ู…ุถุงุฏุฉ ู„ู„ุฃูƒุณุฏุฉ ูˆู…ูˆุฌูˆุฏุฉ ููŠ ู…ุตุงุฏุฑ
936
+
937
+ 235
938
+ 00:18:52,800 --> 00:18:57,180
939
+ ุทุจูŠุนูŠุฉ ูˆู…ุญุถุฑ ู…ู†ู‡ุง ู…ูˆุงุฏ ุตู†ุงุนูŠุฉ ูŠุนู†ูŠ ู„ู…ุง ุจุฏู†ุง ุงู„ุฃูƒู„
940
+
941
+ 236
942
+ 00:18:57,180 --> 00:19:01,260
943
+ ู…ุง ูŠุฎุฑุจุด ุงู„ู…ุนู„ุจุงุช ู…ุง ุชุฎุฑุจุด ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุจุฏู†ุง ู†ุญุท
944
+
945
+ 237
946
+ 00:19:01,260 --> 00:19:07,780
947
+ ุนู„ูŠู‡ ุฅูŠุดุŸ ู…ุงุฏุฉ ู…ุถุงุฏุฉ ู„ู„ุชุฃูƒุณุฏ Antioxidant ู…ู† ุฃุดู‡ุฑ
948
+
949
+ 238
950
+ 00:19:07,780 --> 00:19:13,240
951
+ ุงู„ู€ Antioxidants ุนู„ู‰ ุงู„ุฅุทู„ุงู‚ุงู„ููŠู†ูˆู„ุฒ ูˆุงุถุญ ุŸ ุนุงุฏุฉ
952
+
953
+ 239
954
+ 00:19:13,240 --> 00:19:16,140
955
+ ุงู„ููŠู†ูˆู„ุฒ ู„ูˆ ุจุฏู‡ ูŠุชุทู„ุน ุนู„ู‰ ู‡ุฐุง ุงู„ู‡ูŠุฏุฑูˆูƒูˆูŠู†ูˆู†
956
+
957
+ 240
958
+ 00:19:16,140 --> 00:19:20,960
959
+ ุงู„ู‡ูŠุฏุฑูˆูƒูˆูŠู†ูˆู† ูˆุงุฌุฃู‡ ูุนู„ู‡ ู…ุน ู…ุงุฏุฉ ู…ุคูƒุณุฏุฉ ู…ุน ู…ุงุฏุฉ
960
+
961
+ 241
962
+ 00:19:20,960 --> 00:19:24,820
963
+ ู…ุคูƒุณุฏุฉ ุจุชุฃูƒุณุฏ ุจูŠูู‚ุฏ ุทุจุนุง ู‡ูŠุฏุฑูˆุฌู†ุชูŠู† ุจูŠุตูŠุฑ ุจู‡ุฐุง
964
+
965
+ 242
966
+ 00:19:24,820 --> 00:19:29,120
967
+ ุงู„ุดูƒู„ ุฏุงุจู„ููˆู†ุฏู‡ุงู† ูˆุฏุงุจู„ููˆู†ุฏู‡ุงู† ูˆ 4 ุจู†ุฒูˆ ุงูƒูˆูŠู†ูˆู†
968
+
969
+ 243
970
+ 00:19:29,120 --> 00:19:35,000
971
+ ุงุฐุง ู„ุงุญุธูˆุง ู‡ู†ุง ุงู† ุงู„ููŠู†ูˆู„ุฒ ุงู„ููŠู†ูˆู„ุฒ they undergo
972
+
973
+ 244
974
+ 00:19:35,000 --> 00:19:36,220
975
+ oxidation
976
+
977
+ 245
978
+ 00:19:38,450 --> 00:19:45,110
979
+ ูˆูŠู† ุจุชุตูŠุฑ ููƒุฑุฉ ุงู† ู‡ู… ู…ูˆุงุฏ ู…ุถุงุฏูŠู† ู„ู„ุฃูƒุณุฏ ูŠุนู†ูŠ ูƒูŠู
980
+
981
+ 246
982
+ 00:19:45,110 --> 00:19:52,010
983
+ ุจูŠุดุชุบู„ ุงู„ููŠู†ูˆู„ ูƒู…ุงุฏุฉ ู…ุถุงุฏุฉ ู„ู„ุฃูƒุณุฏ ู‡ูˆ ุจุญุจ ูŠุชุฃูƒุณุฏ
984
+
985
+ 247
986
+ 00:19:52,010 --> 00:19:56,810
987
+ ุจุณุฑุนุฉ ูˆุงุถุญ ุจุญุจ ูŠุชุฃูƒุณุฏ ุจุณุฑุนุฉ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ูˆ ูƒุงู†
988
+
989
+ 248
990
+ 00:19:56,810 --> 00:20:02,910
991
+ ุนู†ุฏูŠ ู…ุซู„ุง ุงู„ุทุนุงู… ู†ูุชุฑุถ ู…ุฑุชุฏู„ุฉ ุงูˆ ุนู„ุจุฉ ู„ุญู…ุฉ ูˆู…ุญุทูˆุท
992
+
993
+ 249
994
+ 00:20:02,910 --> 00:20:08,580
995
+ ููŠู‡ุง ู…ุงุฏุฉ ููŠู†ูˆู„ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุงุฏุฉ ุงู„ู…ุถุงุฏุฉ ู„ู„ุฃูƒุณุฏุฃูˆ
996
+
997
+ 250
998
+ 00:20:08,580 --> 00:20:13,760
999
+ ุนู„ุจุฉ ู„ุญู…ุฉ ุฃูˆ ู…ุฑุชุฏุงู„ุฉ ูˆ ู„ุง ูŠูˆุฌุฏ ููŠู‡ุง ู…ุงุฏุฉ ููŠู†ูˆู„ ู†ุญู†
1000
+
1001
+ 251
1002
+ 00:20:13,760 --> 00:20:18,040
1003
+ ู†ุนู„ุจู‡ุง ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ู„ูƒู† ู†ูุชุฑุถ ุงู† ุฏุงุฎู„ุช ุนูˆุงู„ู…ุคุณุฏุฉ
1004
+
1005
+ 252
1006
+ 00:20:18,040 --> 00:20:22,900
1007
+ ุฃูˆ ุญุชู‰ ุฃูƒุณูˆุฌูŠู† ุงู„ุฌูˆ ุงู„ุฃูƒุณูˆุฌูŠู† ู‡ุฐุง ุชุจุน ุงู„ุฌูˆ ุฃูˆ ุบูŠุฑู‡
1008
+
1009
+ 253
1010
+ 00:20:22,900 --> 00:20:30,160
1011
+ ู„ูˆ ุฃูƒุณุฏ ุงู„ู„ุญู…ุฉู‡ูŠุทู„ุน ู„ูŠ ู…ูˆุงุฏ ุณุงู…ุฉ ุฐุงุช ุฑุงุฆุญุฉ ุณูŠุฆุฉ
1012
+
1013
+ 254
1014
+ 00:20:30,160 --> 00:20:35,040
1015
+ ุงู„ุขู† ุฅุฐุง ู…ุงููŠุด ุบูŠุฑ ุงู„ู„ุญู…ุฉ ู‡ูŠ Oxida ูˆ ู‡ูŠุทู„ุน ุงู„ู…ูˆุงุฏ
1016
+
1017
+ 255
1018
+ 00:20:35,040 --> 00:20:38,500
1019
+ ุงู„ุณุงู…ุฉ ูˆ ุงู„ุฑุงุฆุญุฉ ุงู„ุณูŠุฆุฉ ูˆ ูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ุทุจ ู„ูˆ ูƒู†ุง
1020
+
1021
+ 256
1022
+ 00:20:38,500 --> 00:20:45,140
1023
+ ุฎู„ุทูŠู†ู‡ุง ุจุดูˆูŠุฉ antioxid ุงู„ antioxid ุจุญุจ ุงู„ Oxida
1024
+
1025
+ 257
1026
+ 00:20:45,140 --> 00:20:49,340
1027
+ ุฃูƒุชุฑ ู…ู† ุงู„ู„ุญู…ุฉ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู„ูˆ ุฅุฌุช ุดูˆูŠุฉ ู…ุงุฏุฉ ู…
1028
+
1029
+ 258
1030
+ 00:20:49,340 --> 00:20:54,620
1031
+ Oxida ุฃูˆ ุฏุฎู„ ุดูˆูŠุฉ Oxygen ูˆูŠู† ู‡ุชุตูŠุฑ ุงู„ Oxidaุนู„ู‰
1032
+
1033
+ 259
1034
+ 00:20:54,620 --> 00:20:59,300
1035
+ ุงู„ููŠู†ูˆู† ุงู„ููŠู†ูˆู† ู‡ุชุนุทูŠ ู‡ูŠุฏุฑูˆูƒูˆูŠู†ูˆู† ุงูˆ ู…ุดุชู‚ุงุชู‡ุง ุงู„ุงู†
1036
+
1037
+ 260
1038
+ 00:20:59,300 --> 00:21:03,620
1039
+ ุงู†ุชุจู‡ูˆุง ู…ุนูŠ ุงูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏูƒู… ู„ู…ุง ุงู†ุง ุจุฏูŠ ุงุฌูŠ
1040
+
1041
+ 261
1042
+ 00:21:03,620 --> 00:21:07,940
1043
+ ุงู‚ูˆู„ ุงู† ููŠ ุนู†ุฏู‰ ู…ุฑุชุฏุงู„ุฉ ู†ูุชุฑุถ ุงู„ู…ุฑุชุฏุงู„ุฉ ุงูˆ ุงู„ู„ุญู…ุฉ
1044
+
1045
+ 262
1046
+ 00:21:07,940 --> 00:21:13,520
1047
+ ูƒูˆูŠุณ ู…ููŠุฏุฉ ุญุทูŠุช ุนู„ูŠู‡ุง ู…ุงุฏุฉ antioxidant ุงู„ู…ุงุฏุฉ ุงู„
1048
+
1049
+ 263
1050
+ 00:21:13,520 --> 00:21:16,600
1051
+ antioxidant ู„ุงุฒู… ุชูƒูˆู† ุงูŠุด safe
1052
+
1053
+ 264
1054
+ 00:21:19,140 --> 00:21:23,680
1055
+ ู„ุงุฒู… ุชูƒูˆู† ุขู…ู†ุฉ ู…ุงุจุชุถุฑุด ุงู„ุตุญุฉ ุทุจ ู„ูˆ ุฏุฎู„ ุดูˆูŠุฉ ุฃูƒุณุฌูŠู†
1056
+
1057
+ 265
1058
+ 00:21:23,680 --> 00:21:28,240
1059
+ ูˆู‡ุฐู‡ ุฃูƒุณุฏุฉ ู„ู…ุงุฏุฉ ุชุงู†ูŠุฉ ุงู„ู…ุงุฏุฉ ุงู„ุชุงู†ูŠุฉ ู‡ุชุตูŠุฑ ุจุฑุถู‡
1060
+
1061
+ 266
1062
+ 00:21:28,240 --> 00:21:34,080
1063
+ ุฌูˆุง ุงู„ุฃูƒู„ ุฅุฐุง ุฅูŠุด ู„ุงุฒู… ุชูƒูˆู† ุจุฑุถู‡ ุชูƒูˆู† safe ุจู…ุนู†ู‰
1064
+
1065
+ 267
1066
+ 00:21:34,080 --> 00:21:38,460
1067
+ ุฃู† ุงู„ู…ูุฑูˆุถ ุงู„ antioxidant ู„ุง ูŠูƒูˆู† ู„ู‡ ุฑูŠุญุฉ ูˆู„ุง ู„ู‡
1068
+
1069
+ 268
1070
+ 00:21:38,460 --> 00:21:45,820
1071
+ ุถุฑุฑ ูˆุงู„ู†ุงุชุฌ ุนู† ุนู…ู„ูŠุฉ ุฃูƒุณุฏุชู‡ ุฅุฐุง ุญุตู„ ู„ุง ูŠูƒูˆู† ู„ู‡ ุถุฑุฑ
1072
+
1073
+ 269
1074
+ 00:21:45,820 --> 00:21:51,340
1075
+ ูˆู„ุง ู„ู‡ ุฑูŠุญุฉ ูˆุงุถุญุŸู‡ุฐุง ู…ุง ูŠุญุฏุซ ุจุงู„ุธุจุท ุนู†ุฏู…ุง ู†ุถุน
1076
+
1077
+ 270
1078
+ 00:21:51,340 --> 00:21:55,300
1079
+ ูู†ูˆู„ูŠูƒ ูƒูˆู…ุจุงูˆู†ุฒ ู…ุญุฏุฏุฉ ุณูˆุงุก ู…ู† ู…ุตุงุฏุฑ ุทุจูŠุนูŠุฉ ุฃูˆ
1080
+
1081
+ 271
1082
+ 00:21:55,300 --> 00:22:00,060
1083
+ ุตู†ุงุนูŠุฉ ูู‡ูŠ ุชุชู„ุฌุฃ ุตุฏู…ุฉ ุงู„ุฃูƒุณุฏุง ู„ู…ุง ุชุชุญูˆู„ ู„ู…ูˆุงุฏ
1084
+
1085
+ 272
1086
+ 00:22:00,060 --> 00:22:03,860
1087
+ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ุจุชุชุญูˆู„ ุฅู„ูŠู‡ุง ู„ูŠุณุช ู…ูˆุงุฏ ุถุงุฑุฉ ุฃูˆ ุฐุงุช
1088
+
1089
+ 273
1090
+ 00:22:03,860 --> 00:22:08,760
1091
+ ุฑุงุฆุญุฉ ูˆ ุงู„ู„ุญูˆู… ุฃูˆ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ุจู†ุนู„ุจู‡ุง ุจุชุจู‚ู‰ ุจุฏูˆู†
1092
+
1093
+ 274
1094
+ 00:22:08,760 --> 00:22:15,160
1095
+ ู…ุง ูŠุญุตู„ ุนู„ูŠู‡ุง ุนู…ู„ูŠุฉ ุงู„ุฃูƒุณุฏุง ู…ู† ุงู„ู…ุฑุงูƒุจุงุช ุงู„ู…ูˆุฌูˆุฏุฉ
1096
+
1097
+ 275
1098
+ 00:22:15,160 --> 00:22:20,550
1099
+ ููŠ ุงู„ุณูˆู‚ ูˆุชุณุชุนู…ู„ูˆุงุถุญุŸ ู…ู† ุงู„ู…ูุฑูƒู‘ุจุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ
1100
+
1101
+ 276
1102
+ 00:22:20,550 --> 00:22:24,810
1103
+ ุงู„ุณูˆู‚ ูˆุชุณุชุนู…ู„ ู…ุฑุงุช ู„ูˆ ูƒู†ุช ุชุชุทู„ุน ุนู„ู‰ ุจุนุถ ุงู„ู…ุนู„ุจุงุช
1104
+
1105
+ 277
1106
+ 00:22:24,810 --> 00:22:28,650
1107
+ ุชุฌุฏ ู…ูƒุชูˆุจ ุงุณู… ู‡ุฐู‡ ุงู„ู…ูˆุงุฏ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ุจูŠุณู…ูŠู‡ุง
1108
+
1109
+ 278
1110
+ 00:22:28,650 --> 00:22:35,330
1111
+ ุงู„ู€BHA ูˆ ุงู„ู€BHT ุฅูŠุด ุงู„ู€BHAุŸ ุฅุฐุง ุจุชุทู„ุนูˆุง ู‡ู†ุง ู‡ุฐุง
1112
+
1113
+ 279
1114
+ 00:22:35,330 --> 00:22:40,370
1115
+ ู…ูุฑูƒู‘ุจ ููŠู‡ ุดุงูŠููŠู†ุŸ ู‡ุฐุง ุงู„ู…ุญูˆุฑ ุงู„ุฃุณุงุณูŠ ุนู„ูŠู‡ O
1116
+
1117
+ 280
1118
+ 00:22:40,370 --> 00:22:43,670
1119
+ -Methyl ุฃูˆ ุนู„ูŠู‡ Ter-Cerbutyl group ู‡ุฐูŠ ุฅูŠุด
1120
+
1121
+ 281
1122
+ 00:22:43,670 --> 00:22:46,730
1123
+ ุงู„ู…ุฌู…ูˆุนุฉุŸ C ุญู…ู„ุฉ ุชู„ุงุชุฉ Ter-Cerbutyl
1124
+
1125
+ 282
1126
+ 00:22:52,140 --> 00:22:57,700
1127
+ ู‡ูŠุฏุฑูˆูƒุณูŠ ู„ุฃู†ู‡ ููŠ ุงู„ OH ูˆ ุงู„ omethin ููŠ ุงู„ anisole
1128
+
1129
+ 283
1130
+ 00:22:57,700 --> 00:23:03,200
1131
+ ูู†ุตูŠุฑ ูƒู„ู‡ putilated ู‡ูŠุฏุฑูˆูƒุณูŠ ุฃู†ูŠุฒูˆู„ ู†ุณูู†ุง ู„ู„
1132
+
1133
+ 284
1134
+ 00:23:03,200 --> 00:23:08,740
1135
+ ุฃู†ูŠุฒูˆู„ ู„ู„ omethin putilated ูˆ ู‡ูŠุฏุฑูˆูƒุณูŠ ูˆ ุงู„ู…ุฑูƒุจ
1136
+
1137
+ 285
1138
+ 00:23:08,740 --> 00:23:09,500
1139
+ ุงู„ู„ูŠ ุนู†ุฏู‰ ุฅูŠุด
1140
+
1141
+ 286
1142
+ 00:23:14,060 --> 00:23:19,000
1143
+ ุงู„ุจุฑูƒุจุงุช ุงู„ู„ูŠ ู‡ู†ุงูƒ ุจุฑุถู‡ ููŠู‡ุง ุจูŠูˆุชู„ ุฌุฑูˆุจ ูˆ ููŠู‡ุง
1144
+
1145
+ 287
1146
+ 00:23:19,000 --> 00:23:24,080
1147
+ ุงู„ู‡ูŠุฏุฑูˆูƒุณ ู„ูƒู† ู„ูˆ ุฃุฎุฏุช ุงู„ุญู„ู‚ุฉ ู…ุง ุนุฏุง ุฐู„ูƒ ู‡ู†ุง ุฅูŠุด
1148
+
1149
+ 288
1150
+ 00:23:24,080 --> 00:23:29,180
1151
+ ุงู„ุญู„ู‚ุฉุŸ ู‡ู†ุง ุงู„ุญู„ู‚ุฉ ูƒุงู†ุช ุฃู†ูŠุฒูˆู„ ูˆ ุนู„ูŠู‡ุง ุงู„ุจูŠูˆุชู„ ูˆ
1152
+
1153
+ 289
1154
+ 00:23:29,180 --> 00:23:34,020
1155
+ ุงู„ู‡ูŠุฏุฑูˆูƒุณ ู‡ู†ุง ุชู„ูˆูŠู† ูˆ ุจูŠูˆุชู„ ูˆ ู‡ูŠุฏุฑูˆูƒุณ ูุจุตูŠุฑ ุงุณู…ู‡
1156
+
1157
+ 290
1158
+ 00:23:34,020 --> 00:23:42,670
1159
+ ุจูŠูˆุชู„ูŠุช ู‡ูŠุฏุฑูˆูƒุณ ุชู„ูˆูŠู† ุจุงุฎุชุตุงุฑ BHT ู‡ุฐู‡ ุงู„ุจุฑูƒุจุงุชูƒุซูŠุฑ
1160
+
1161
+ 291
1162
+ 00:23:42,670 --> 00:23:48,450
1163
+ ุงู„ุงุณุชุนู…ุงู„ุงุช ูƒ Antioxidants ุบุงู„ุจ ุงู„ูƒู„ุงู… ุจุงู„ู†ุณุจุฉ ู„
1164
+
1165
+ 292
1166
+ 00:23:48,450 --> 00:23:53,570
1167
+ 90% ูˆ ุฃูƒุชุฑ ุฃู†ู‡ุง ุขู…ู†ุฉ ูˆ Safe ุจุนุถ ุงู„ุฃุจุญุงุซ ุจุชู‚ูˆู„ ุฃู†ู‡
1168
+
1169
+ 293
1170
+ 00:23:53,570 --> 00:24:01,130
1171
+ ูŠู…ูƒู† ุฃู†ู‡ุง ู…ุฎุงุทุฑ ูˆุงุถุญุŸ ู„ูƒู† ู„ุญุฏ ุงู„ุขู† ูˆุฌู‡ุฉ ุงู„ู†ุธุฑ ุฃู‚ูˆู‰
1172
+
1173
+ 294
1174
+ 00:24:01,130 --> 00:24:08,000
1175
+ ู…ุน ุฃู†ู‡ ู…ุงููŠุด ู…ุฎุงุทุฑ ู…ุคูƒุฏุฉ 100% ุทุงู„ุนุฉ ู…ู†ู‡ุงูู‰ ุงู„ุจุนุถ
1176
+
1177
+ 295
1178
+ 00:24:08,000 --> 00:24:12,500
1179
+ ุจูŠู‚ูˆู„ ูˆุงู„ู„ู‡ ูŠู…ูƒู† ุงู„ู…ุฎุงุทุฑ ุทุงู„ุน ู…ู†ู‡ ุทุจุนุง ู„ูŠุด ุงู„ุนู„ู…ุงุก
1180
+
1181
+ 296
1182
+ 00:24:12,500 --> 00:24:18,180
1183
+ ู…ุงุจูŠู‚ุฏุฑูˆุด ูŠูƒูˆู† ุนู†ุฏู‡ู… ุฌูˆุงุจ ูŠูƒูˆู† ุนู†ุฏู‡ู… ุฌูˆุงุจ ู†ู‡ุงุฆู‰
1184
+
1185
+ 297
1186
+ 00:24:18,180 --> 00:24:22,760
1187
+ ุฃุญูŠุงู†ุง ุนู„ู‰ ุจุนุถ ุงู„ุดุบู„ุงุช ู„ุณุจุจ ุจุณูŠุท ุงู†ู‡ ูŠุนู†ูŠ ุจู†ูŠ ุขุฏู…
1188
+
1189
+ 298
1190
+ 00:24:22,760 --> 00:24:29,260
1191
+ ู…ุซู„ุง ุตุงุฑ ุนู†ุฏู‡ ุตุฑุงุทู† ุงู„ู„ู‰ ุจูŠุตูŠุฑ ุงู†ู‡ ู…ู…ูƒู† ุจุนุถ ุงู„ู†ุงุณ
1192
+
1193
+ 299
1194
+ 00:24:29,260 --> 00:24:33,150
1195
+ ูŠู‚ูˆู„ ุฃูƒูŠุฏ ู‡ุฐุง ู…ู† ุงู„ antioxidantู„ูƒู† ุงู„ู†ุงุณ ุงู„ุชุงู†ูŠุฉ
1196
+
1197
+ 300
1198
+ 00:24:33,150 --> 00:24:35,990
1199
+ ุงู„ู„ูŠ ุจูŠู‚ูˆู„ูˆุง ู‡ูˆ ุจุณ ุฃุฎุฏ ููŠ ุงู„ุฏู†ูŠุง Antioxidants ู…ุน
1200
+
1201
+ 301
1202
+ 00:24:35,990 --> 00:24:39,770
1203
+ ุงู„ู…ุฑุชุฏูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุฃูƒู„ ู…ูŠุช ุดุบู„ุฉ ุจูŠุดุฑุจ ุดุฑุงุจ
1204
+
1205
+ 302
1206
+ 00:24:39,770 --> 00:24:45,870
1207
+ ุนู„ูŠู‡ ู…ูˆุงุฏ ู…ู„ูˆู†ุฉ ูˆ ุจูŠุณุชู†ุดู‚ ุณุฌุงุฆุฑ ูˆ ู…ุง ุฅู„ู‰ .. ูุจุตูŠุฑ
1208
+
1209
+ 303
1210
+ 00:24:45,870 --> 00:24:50,370
1211
+ ุนู†ุฏูŠ ุนูˆุงู…ู„ ูƒุชูŠุฑุฉุŒ ุงู„ุขู† ู‡ู†ุง ุจุชุตูŠุฑ ุงู„ุตุนูˆุจุฉ ุงู†ู‡ ู‡ู„
1212
+
1213
+ 304
1214
+ 00:24:50,370 --> 00:24:55,710
1215
+ ุงู„ู…ุดูƒู„ุฉ ูุนู„ุง ุงุฌุช ุนู†ุฏู‡ุŸู…ู† ุงู„ antioxidant ูˆู„ุง ู…ู†
1216
+
1217
+ 305
1218
+ 00:24:55,710 --> 00:25:00,070
1219
+ ุฃุดูŠุงุก ุชุงู†ูŠุฉ ูˆู‡ุฐุง ุงู„ูƒู„ุงู… ุงู„ู„ูŠ ุจุฏู‡ ูƒุซูŠุฑ ุชุฌุงุฑุจ ูˆ ูƒุซูŠุฑ
1220
+
1221
+ 306
1222
+ 00:25:00,070 --> 00:25:06,650
1223
+ ุฏุฑุงุณุงุช ุทุจุนุง ุจุฑุถู‡ ุตุนุจ ุฏูŠุฑูˆุง ุจุงู„ูƒู… ุงู„ุชุนู…ูŠู… ูŠุนู†ูŠ ู…ุฑุงุช
1224
+
1225
+ 307
1226
+ 00:25:06,650 --> 00:25:11,810
1227
+ ุจูŠุฌูŠ ุนุงู„ู… ุจูŠุฑูˆุญ ุจุฌูŠุจู„ู‡ ุดูˆูŠุฉ ูุฑุงู† ูˆู„ุง ุดูˆูŠุฉ ู‚ุฑุงู†ุจ ูˆ
1228
+
1229
+ 308
1230
+ 00:25:11,810 --> 00:25:16,870
1231
+ ูƒู„ ูŠูˆู… ุจูŠุนุทูŠู‡ู… ุฌุฑุนุฉ ุนุงู„ูŠุฉู…ู†ู‡ุง ุงู„ู€ Antioxidant ุนู…ุฏุง
1232
+
1233
+ 309
1234
+ 00:25:16,870 --> 00:25:20,170
1235
+ ุดู‡ุฑูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉ ููŠ ุงู„ุขุฎุฑ ุจูŠู‚ูˆู„ ูˆุงู„ู„ู‡ ู‡ูŠูˆู…
1236
+
1237
+ 310
1238
+ 00:25:20,170 --> 00:25:25,430
1239
+ ุฃุตูŠุจู‡ ุจุงู„ุณุฑุทุงู†ุŒ ูƒูˆูŠุณ ู‡ู„ ุงู„ุจู†ูŠ ุขุฏู… ูŠุง ุชุฑู‰ ู„ู…ุง ุจูŠุงุฎุฏ
1240
+
1241
+ 311
1242
+ 00:25:25,430 --> 00:25:30,270
1243
+ ู‡ุฐู‡ ุจู†ุณุจุฉ ู…ุญุฏุฏุฉ ู‚ู„ูŠู„ุฉ ุฌุฏุง ูˆุนู„ู‰ ูุชุฑุงุช ุจุนูŠุฏุฉ ู‡ูŠูƒูˆู†
1244
+
1245
+ 312
1246
+ 00:25:30,270 --> 00:25:36,090
1247
+ ู„ู‡ุง ุงู„ุฃุซุฑ ุฒูŠ ู…ุง ูƒู„ ูŠูˆู… ุชุนุงู„ู‰ุŸูˆุจุงู„ุชุงู„ูŠ ู„ู…ุง ุชุณู…ุนูˆุง
1248
+
1249
+ 313
1250
+ 00:25:36,090 --> 00:25:40,650
1251
+ ุงู† ุงู„ุนู„ู…ุงุก ููŠ ูƒุชูŠุฑ .. ููŠ ูƒุชูŠุฑ ู…ูˆุงุฏ ู…ุด ูˆุตู„ูŠู† ุงู„ู‰
1252
+
1253
+ 314
1254
+ 00:25:40,650 --> 00:25:44,870
1255
+ ู†ุชูŠุฌุฉ ู†ู‡ุงุฆูŠุฉ ู‡ู„ ู‡ูŠ ูุนู„ุง ุถุงุฑุฉ ุงูˆ ู„ุฃ ุจุณุจุจ ู…ุซู„ ู‡ุฐู‡
1256
+
1257
+ 315
1258
+ 00:25:44,870 --> 00:25:47,910
1259
+ ุงู„ุฏุฑุงุณุงุช ูŠุนู†ูŠ ุจุชู„ุงู‚ูˆุง ู†ุงุณ ุจูŠุฌูˆุง .. ุจูŠุญูƒูˆุง ุนู†
1260
+
1261
+ 316
1262
+ 00:25:47,910 --> 00:25:54,930
1263
+ ุงู„ุณูƒุงุฑูŠู† ูˆู„ุง ูŠู…ูƒู† ุงู„ุณูƒุงุฑูŠู† ู„ู‡ ุฃุซุฑ ุถุงุฑุฉ ู„ูƒู† ู„ู„ูŠูˆู…
1264
+
1265
+ 317
1266
+ 00:25:54,930 --> 00:26:02,470
1267
+ ุงู„ุณูƒุงุฑูŠู† ููŠ ุงู„ุณูˆู‚ ูˆู„ุง ู„ุฃ ู„ุฃู†ู‡ ู…ุด ุซุงุจุช ุจุดูƒู„ ู‚ุทุนูŠุฅู†ู‡
1268
+
1269
+ 318
1270
+ 00:26:02,470 --> 00:26:09,710
1271
+ ููŠู‡ ุณู…ูŠุฉ ุฃูˆ ู†ูˆุน ุนุงู„ูŠ ู…ู† ุงู„ุถุฑุฑ ูˆุงุถุญุŸ ู…ุงุญุฏุด ุจูŠู‚ุฏุฑ
1272
+
1273
+ 319
1274
+ 00:26:09,710 --> 00:26:14,310
1275
+ ูŠู†ููŠ 100% ู„ูƒู† ูƒุชูŠุฑ ู†ุงุณ ุจุชู‚ุฏุฑ ุชู†ููŠ ููˆู‚ ู†ุณุจุฉ 90 ุฃูˆ
1276
+
1277
+ 320
1278
+ 00:26:14,310 --> 00:26:21,310
1279
+ 95% ุฅู†ู‡ ู„ุญุชู‰ ุงู„ุฃู‚ู„ ุชุนุชุจุฑ ุจู…ู†ุทู‚ ุงู„ุนู„ู… ู‡ุฐู‡ ุงู„ุฃุดูŠุงุก
1280
+
1281
+ 321
1282
+ 00:26:21,310 --> 00:26:25,970
1283
+ ุฅูŠุด ู…ุงู„ู‡ุงุŸsafe safe ุฎู„ู‘ูŠู†ูŠ ุฃู‚ูˆู„ .. ู…ุงุจู†ุนุด ู†ู‚ูˆู„
1284
+
1285
+ 322
1286
+ 00:26:25,970 --> 00:26:29,750
1287
+ ู…ููŠุฏุฉุŒ ู†ู‚ูˆู„ ุขู…ู†ุฉ ูŠุนู†ูŠ ูŠู…ูƒู† ู…ุด ูƒุชูŠุฑ ุฅู„ุง ูุงุฆุฏุฉ ุบูŠุฑ
1288
+
1289
+ 323
1290
+ 00:26:29,750 --> 00:26:32,850
1291
+ ุฃู†ู‡ ุชู…ู†ุน ุงู„ accident ุจุณ ูŠุนู†ูŠ ู…ุด ุฒูŠ ุงู„ vitamin ูˆู„ุง
1292
+
1293
+ 324
1294
+ 00:26:32,850 --> 00:26:38,310
1295
+ ุฅุดูŠ ุฃู†ู‡ ุจุฏู‡ุง ุชููŠุฏู†ูŠ ุฃู†ุง ูƒุฌุณู…ุŒ ู„ุฃูŠุนู†ูŠ ู„ู…ุง ุฃู†ุง ุจุฃูƒู„
1296
+
1297
+ 325
1298
+ 00:26:38,310 --> 00:26:43,130
1299
+ ุงู„ุทุนุงู… ุงู„ุทุงุฒุฌ ุฃู†ุง ุจูƒูˆู† ุจุญุงุฌุฉ ุฅู„ู‡ุง ูŠุนู†ูŠ ุงู„ู„ูŠ ุนู†ุฏู‡
1300
+
1301
+ 326
1302
+ 00:26:43,130 --> 00:26:49,130
1303
+ ู…ุซู„ุง ู„ุญู… ุทุงุฒุฌุฉ ูˆ ุจุฏู‡ ูŠุชู†ุงูˆู„ู‡ุง ูˆ ูŠุนู…ู„ ู‡ุงู…ุจูˆุฑุฌุฑ ู…ู†
1304
+
1305
+ 327
1306
+ 00:26:49,130 --> 00:26:53,510
1307
+ ู„ุญู…ุฉ ุทุงุฒุฌุฉ ูˆ ูŠุฃูƒู„ ุจู„ุฒู… ูˆ ูŠูƒูˆู† ุถุงูŠู Antioxidant ู„ุฃ
1308
+
1309
+ 328
1310
+ 00:26:53,510 --> 00:26:57,310
1311
+ ู…ุงุจู„ุฒู…ุด ุฃู†ุง ู…ุงููŠุด ู…ู†ู‡ุง ูุงุฆุฏุฉ ุจุณ ุฃู†ุง ุจุญุทู‡ุง ู„ุชุฌู†ุจ
1312
+
1313
+ 329
1314
+ 00:26:57,310 --> 00:27:03,410
1315
+ ุฃุถุฑุงุฑ ุฅุฐุง ุจุชู„ุงุญุธูˆุง ู…ู† ุงู„ู…ุฑุงูƒุจุงุช ุงู„ุทุจูŠุนูŠุฉ ู…ุซู„ุง ุงู„
1316
+
1317
+ 330
1318
+ 00:27:03,410 --> 00:27:09,700
1319
+ vitamin Eูˆุฅุฐุง ุจุชู„ุงุญุธูˆุง ุงู„ู€ Vitamin E ุจุบุถ ุงู„ู†ุธุฑ ุนู†
1320
+
1321
+ 331
1322
+ 00:27:09,700 --> 00:27:13,320
1323
+ ูƒุจุฑ ุงู„ุฌุฒุก ุชุจุนู‡ ุฌุฒุก ุงู„ู€ Antioxidation ุงู„ู„ูŠ ููŠู‡
1324
+
1325
+ 332
1326
+ 00:27:13,320 --> 00:27:18,360
1327
+ ู…ุฑุชุจุท ุจูˆุฌูˆุฏ ุงู„ู€ OH ุงู„ู„ูŠ ุนู„ูŠู‡ ุฃู† ู‡ูˆ ูŠุนุชุจุฑ Phenolic
1328
+
1329
+ 333
1330
+ 00:27:18,360 --> 00:27:24,400
1331
+ Compound ู‡ู… ู„ุงุญุธูŠู† ู‡ู†ุง ูŠุนู†ูŠ ู‡ูˆ ุตุญ ูƒุจูŠุฑ ูˆ ู…ุง ุฅู„ู‰
1332
+
1333
+ 334
1334
+ 00:27:24,400 --> 00:27:32,280
1335
+ ุฐู„ูƒ ู„ูƒู† ุจูŠุณู…ูˆู‡ Natural Phenolic Antioxidant ูู…ุญูˆุฑ
1336
+
1337
+ 335
1338
+ 00:27:32,280 --> 00:27:42,250
1339
+ ุนู…ู„ู‡ ูƒ Antioxidant ููŠ ูˆุฌูˆุฏุงู„ู€ OH ุชุจุน ุงู„ููŠู†ูˆู„ ู†ู†ุชู‚ู„
1340
+
1341
+ 336
1342
+ 00:27:42,250 --> 00:27:50,210
1343
+ ุงู„ู‰ ุงู„ุนุงุฆู„ุฉ ุงู„ุชุงู†ูŠุฉ ู…ู† ุงู„ู…ูุฑูƒู‘ุจุงุช ุงุณู…ู‡ุง ุงู„ู€ Thions
1344
+
1345
+ 337
1346
+ 00:27:53,800 --> 00:27:59,600
1347
+ Sulphur ุจุฏู„ ุงู„ O S H ูˆุงุถุญ ูู„ุงุญุธูˆุง ุงู„ุชุณู…ูŠุฉ ุงู„ุจุณูŠุทุฉ
1348
+
1349
+ 338
1350
+ 00:27:59,600 --> 00:28:04,600
1351
+ ู„ู…ุง ูƒุงู† ุงูƒูˆู† ุนู†ุฏูŠ CH3OH ุงูŠุด ูƒู†ุช ุณุงู… ุงู„ู…ุฑูƒุจ ู…ุซุงู„
1352
+
1353
+ 339
1354
+ 00:28:04,600 --> 00:28:11,520
1355
+ ุงูˆู† ู„ูˆ ุตุงุฑุช S H ุจุณู…ูŠู‡ ู…ุซุงู† ุซูŠูˆู† ูˆู‡ู†ุง ู…ุซู„ุง ุจูŠูˆุชุงู†
1356
+
1357
+ 340
1358
+ 00:28:11,520 --> 00:28:19,080
1359
+ ุซูŠูˆู† ู‡ุฐุง ุงู„ููŠู„ูˆู† ุจูŠุตูŠุฑ ุซูŠูˆููŠู„ูˆู† ุงุณู… ุชุงู†ูŠ ุจูŠุณุชุนู…ู„ูˆุง
1360
+
1361
+ 341
1362
+ 00:28:19,080 --> 00:28:23,730
1363
+ ู„ู‡ุฐู‡ ุงู„ู…ุฑูƒุจุงุชู„ูˆ ูƒู†ุง ุจุฏู†ุง ู†ุงุฎุฏู‡ ุจุงู„ common name ู„ูˆ
1364
+
1365
+ 342
1366
+ 00:28:23,730 --> 00:28:29,790
1367
+ ูƒุงู†ุช ู‡ู†ุง ู…ุซู„ ุงูˆ ุงุชุด ูƒู†ุง ู†ู‚ูˆู„ ู…ุซู„ alcohol ู…ุซู„
1368
+
1369
+ 343
1370
+ 00:28:29,790 --> 00:28:33,550
1371
+ alcohol ุงู„ุงู† ุจุฏู†ุง ุงู„ alcohol ุงู†ุง ุจุญุทู‡ ู…ุฑูƒุจุชุงู†
1372
+
1373
+ 344
1374
+ 00:28:33,550 --> 00:28:41,050
1375
+ ู…ุฑูƒุจุชุงู† ูุจุตูŠุฑ ู‡ุฐุง ู…ุซู„ ู…ุฑูƒุจุชุงู† ุจูŠูˆุชู„ ู…ุฑูƒุจุชุงู† ูู†ู„
1376
+
1377
+ 345
1378
+ 00:28:42,190 --> 00:28:46,710
1379
+ ู…ุฑูƒุจุชุงู† ูˆ ู‡ูƒุฐุง ุฏุงุฆู…ุง ูˆ ุฃุจุฏุง ุฅุฐุง ู‚ุฑุฃุชู‡ ุงุณู… ุฃูŠ ู…ุฑูƒุจ
1380
+
1381
+ 346
1382
+ 00:28:46,710 --> 00:28:51,130
1383
+ ู„ุงุญุธุชู‡ ุงู„ุงุณู… ููŠ ูƒู„ู…ุฉ ุซูŠูˆ ุฃูˆ ู…ุฑูƒุจุชูˆุง ุงุนุฑู ุงู† ู‡ุฐุง
1384
+
1385
+ 347
1386
+ 00:28:51,130 --> 00:28:56,530
1387
+ ู…ุฑูƒุจ ุณู„ูุฑ ูˆุงุถุญ ูŠุนู†ูŠ ู„ู…ุง ู†ู‚ูˆู„ ุซูŠูˆ compounds ุงูˆ
1388
+
1389
+ 348
1390
+ 00:28:56,530 --> 00:29:00,170
1391
+ ู…ุฑูƒุจุชูˆุง compounds ู…ุนู†ุงู‡ ุฐู„ูƒ ุงุญู†ุง ุจู†ุญูƒูŠ ุนู† ู…ุฑูƒุจุงุช
1392
+
1393
+ 349
1394
+ 00:29:00,170 --> 00:29:06,460
1395
+ ุฅูŠุด ุงู„ูƒุงุจุฑูŠุช ุงู„ุดุบู„ุชูŠู† ุจุชู„ุงู‚ูˆู‡ู… ุซูŠูˆูˆ ู…ุฑูƒุจุชู‡ ุซูŠูˆู„
1396
+
1397
+ 350
1398
+ 00:29:06,460 --> 00:29:14,120
1399
+ ู…ุฑูƒุจุชู‡ ุฅุฐุง ู‚ู„ู†ุง ู…ุฑูƒุจุชู‡ ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช
1400
+
1401
+ 351
1402
+ 00:29:14,120 --> 00:29:14,260
1403
+ ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช
1404
+
1405
+ 352
1406
+ 00:29:14,260 --> 00:29:15,020
1407
+ ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช
1408
+
1409
+ 353
1410
+ 00:29:15,020 --> 00:29:16,080
1411
+ ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช
1412
+
1413
+ 354
1414
+ 00:29:16,080 --> 00:29:29,320
1415
+ ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช ู…ุฑูƒุจุงุช
1416
+
1417
+ 355
1418
+ 00:29:29,430 --> 00:29:34,150
1419
+ ุณู„ูุงูŠุช ุณู„ูุงูŠุช ููŠ ุฅุซู„ ูˆ ุฅุซู„ ุดูˆ ุจูŠุตูŠุฑ ุงุณู… ุงู„ู…ูุฑูƒู‘ุจ
1420
+
1421
+ 356
1422
+ 00:29:34,150 --> 00:29:39,910
1423
+ ุฅุซู„ ุณู„ูุงูŠุช ุฃูˆ ุฏุงูŠ ุฅุซู„ ุณู„ูุงูŠุช ู…ุฑุงุช ูƒุชูŠุฑ ุงู„ุฏุงูŠ
1424
+
1425
+ 357
1426
+ 00:29:39,910 --> 00:29:47,150
1427
+ ุจุงู„ุบูˆุฉ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ู‡ุฐุง ุฅูŠุซุฑ ุจุงู„ O ุฅูŠุด ุจูŠุณู…ูˆู‡ุŸ ุฏุงูŠ
1428
+
1429
+ 358
1430
+ 00:29:47,150 --> 00:29:53,000
1431
+ ุฅุซู„ ุฅูŠุซุฑ ูˆ ู…ุฑุงุช ูƒุชูŠุฑ ุจูŠู‚ูˆู„ูˆุง ุนู†ู‡ ุฅุซู„ ุฅูŠุซุฑูˆุงุถุญุŸ ู„ู…ุง
1432
+
1433
+ 359
1434
+ 00:29:53,000 --> 00:29:57,180
1435
+ ูŠูƒูˆู† ุงู„ู…ุฑุงูƒุจ ู…ุชู…ุงุซู„ ุจูŠุณู…ูˆู‡ die ethyl ether ุงูˆ
1436
+
1437
+ 360
1438
+ 00:29:57,180 --> 00:30:00,660
1439
+ ethyl ether ู†ูุณ ุงู„ุงุดูŠ ู…ุซู„ุง ููŠ ุงู„ die methyl
1440
+
1441
+ 361
1442
+ 00:30:00,660 --> 00:30:04,580
1443
+ sulfate ูˆ ู…ุฑุงุช ุจูŠุณู…ูˆู‡ุง ู†ูุณู‡ุง methyl sulfate ูŠุนู†ูŠ
1444
+
1445
+ 362
1446
+ 00:30:04,580 --> 00:30:14,900
1447
+ ุจู„ุบูˆ ุงู„ die ููŠ ุงู„ common nomenclature ู„ุฃ
1448
+
1449
+ 363
1450
+ 00:30:14,900 --> 00:30:19,660
1451
+ ู‡ูˆ ุจูŠูƒูˆู† S double bond O CH3CH3 ุงู„ู„ูŠ ู‡ูˆ ุงู„ die
1452
+
1453
+ 364
1454
+ 00:30:19,660 --> 00:30:20,080
1455
+ methyl
1456
+
1457
+ 365
1458
+ 00:30:26,440 --> 00:30:33,020
1459
+ ุจู†ุงุฎุฏ ุงู„ุงุฑูƒุณ ู…ุน sh- ุจูŠุนุทูŠู†ุง rsh ุงู„ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ
1460
+
1461
+ 366
1462
+ 00:30:33,020 --> 00:30:39,820
1463
+ ุงู„ุงุฑูƒุณ ู…ุน sh- ุจูŠุตูŠุฑ substitution ูˆ ู„ู…ุง ู†ู‚ูˆู„ ุงู„ุงุฑูƒุณ
1464
+
1465
+ 367
1466
+ 00:30:39,820 --> 00:30:43,620
1467
+ primary ู…ุซู„ุง ูˆ ุงู„ sh- negative strong nucleophile
1468
+
1469
+ 368
1470
+ 00:30:43,620 --> 00:30:49,230
1471
+ ุดูˆ ุงู„ู…ูŠูƒุงู†ุฒู… ุงู„ู„ูŠ ุชุชูˆู‚ุนูˆู‡ุงSN2 ู„ูˆ ูƒุงู† ู…ุตุงุฏุฑ ู…ุน
1472
+
1473
+ 369
1474
+ 00:30:49,230 --> 00:30:53,390
1475
+ ู†ูŠูˆูƒู„ูŠูˆูุงูŠู„ ู‚ูˆูŠุฉ ุจุชุชูˆู‚ุนูˆุง ุงู†ู‡ ูŠุชู… ุนู†ุฏู‰ SN2
1476
+
1477
+ 370
1478
+ 00:30:53,390 --> 00:30:58,610
1479
+ ู…ูŠูƒุงู†ูŠุฒู… ูˆุงุถุญุŸ ุงุฎุฏู†ุง ุงุญู†ุง ูƒู…ุงู† ุดุบู„ุฉ ู‚ูˆู„ู†ุง ุงู†
1480
+
1481
+ 371
1482
+ 00:30:58,610 --> 00:31:03,790
1483
+ ุงู„ุซูŠูˆู„ุฒ ู‡ู… ุฃุณูˆุฏ ุฃู‚ูˆู‰ ู…ู† ุงู„ุฃู„ูƒูˆู‡ูˆู„ุฒ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ
1484
+
1485
+ 372
1486
+ 00:31:03,790 --> 00:31:07,650
1487
+ ุงู„ู„ู‰ ุฃุฎุฏู†ุงู‡ุง ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ุจูŠุชูุงุนู„ูˆุง ูƒุฃู†ู‡ู… ุฃุญู…ุงุถ
1488
+
1489
+ 373
1490
+ 00:31:07,650 --> 00:31:13,190
1491
+ ู…ุน ุงู„ N A O H ุจูŠุนุทูˆู‡ู† Salt ุฒุงุฆุฏ Water ู…ุชุฐูƒุฑูŠู†
1492
+
1493
+ 374
1494
+ 00:31:13,190 --> 00:31:19,260
1495
+ ู‚ูˆู„ู†ุงููŠ ุงู„ acidity ููŠูˆู„ุฒ ู…ุตุงุฏุฑ ุฃุณูˆุฏ ุฃูƒุซุฑ ู…ู† ุงู„ูƒุญูˆู„
1496
+
1497
+ 375
1498
+ 00:31:19,260 --> 00:31:25,560
1499
+ ู„ุฐู„ูƒ ู„ูˆ ุญุทูŠู†ุง ู‡ู†ุง roh ุฒูŠ ุงู„ eoh ุงูŠุด ูƒุงู† ุงู„ุฌูˆุงุจ
1500
+
1501
+ 376
1502
+ 00:31:25,560 --> 00:31:30,480
1503
+ ุงูŠูˆุฉ ูƒุงู† ุงู„ุฌูˆุงุจ ุงู†ู‡ ู…ุงุจุตูŠุฑุด ุนู†ุฏู‰ ู…ุนุงุฏู„ุฉ no
1504
+
1505
+ 377
1506
+ 00:31:30,480 --> 00:31:37,400
1507
+ reaction ู„ูƒู† ู…ุน ุงู„ ููŠูˆู„ุฒ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ุชูุงุนู„ okay
1508
+
1509
+ 378
1510
+ 00:31:37,400 --> 00:31:43,990
1511
+ ุงู„ุขู† ุชูŠุฌูŠู†ุง ุดุบู„ุฉ ู„ูˆ ุฃุฎุฏุช ุงู„ ููŠูˆู„ุฒูˆุนู…ู„ุช ู„ู‡ู…
1512
+
1513
+ 379
1514
+ 00:31:43,990 --> 00:31:48,710
1515
+ Oxidation ูƒู„ ุงุชู†ูŠู† ุซูŠูˆู„ ุจูŠูู‚ุฏูˆุง ู‡ูŠุฏุฑูˆุฌูŠู† ุจูƒูˆู†ู‡
1516
+
1517
+ 380
1518
+ 00:31:48,710 --> 00:31:55,690
1519
+ ู…ุฑูƒุจ ููŠู‡ two sulfur atoms ุจู†ุณู…ูŠู‡ disulfide ูŠุนู†ูŠ ู„ูˆ
1520
+
1521
+ 381
1522
+ 00:31:55,690 --> 00:31:59,930
1523
+ ูƒุงู†ุช ู‡ุฐู‡ ู…ุซู„ุง ู…ุซู„ ูˆ ู…ุซู„ ุดูˆ ุจุฏู‡ ูŠุตูŠุฑ ุงุณู… ุงู„ู…ุฑูƒุจุŸ
1524
+
1525
+ 382
1526
+ 00:31:59,930 --> 00:32:04,130
1527
+ disulfide
1528
+
1529
+ 383
1530
+ 00:32:04,130 --> 00:32:08,450
1531
+ ุงุฑุฌุนูˆุง ู…ุนุงู‡ ู„ู„ slide ุงู„ู„ูŠ ู‚ุจู„ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒู… S
1532
+
1533
+ 384
1534
+ 00:32:08,450 --> 00:32:14,890
1535
+ ูˆุงุญุฏุฉุณุงู„ูุงูŠุฏ ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒู… two sulfur atoms ู‡ุฐุง
1536
+
1537
+ 385
1538
+ 00:32:14,890 --> 00:32:20,530
1539
+ ุฏุงูŠ ุณุงู„ูุงูŠุฏ ู…ุงุชุฎุฑุจุทูˆุด ู„ู…ุง ูŠูƒูˆู† ุนู†ุฏูƒ two R groups
1540
+
1541
+ 386
1542
+ 00:32:20,530 --> 00:32:25,550
1543
+ ู‡ุฐุง ุฏุงูŠ ุณุงู„ูุงูŠุฏ ู‡ุฐุง ุฏุงูŠ ุณุงู„ูุงูŠุฏ ุนุดุงู† ุงูŠู‡ ู…ุซู„ุง ู„ูˆ
1544
+
1545
+ 387
1546
+ 00:32:25,550 --> 00:32:28,590
1547
+ ุงู†ุง ุจุฏู†ุง ู†ุงุฎุฏ ู‡ุฐู‡ ุงู„ group ู…ุฑุฉ ุนู„ูŠูƒู… ุดูˆ ุงุณู…ู‡ุง
1548
+
1549
+ 388
1550
+ 00:32:30,090 --> 00:32:36,370
1551
+ ุจุงู„ุชุนุงู…ู„ ุงู„ูู†ู„ ู…ุด ุงู„ูู†ู„ ู‚ู„ู„ ุงู„ูู†ู„ CH2 CH ูƒุฌุฑูˆุจ ู„ู…ุง
1552
+
1553
+ 389
1554
+ 00:32:36,370 --> 00:32:41,210
1555
+ ูŠุฌูŠู‡ุง ูƒู…ุงู† CH2 ุจุชุตูŠุฑ ุฅูŠู‡ุŸ ู‚ู„ู„ ุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู‡ุฐุง ุดูˆ
1556
+
1557
+ 390
1558
+ 00:32:41,210 --> 00:32:49,970
1559
+ ุจูŠุตูŠุฑ ุงุณู…ู‡ุŸ Dialyl disulfide ูˆุงุถุญุŸ
1560
+
1561
+ 391
1562
+ 00:32:49,970 --> 00:32:57,370
1563
+ ู‡ุฐุง ุงู„ dialyl disulfide ู…ุฑูƒุจ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุชูˆู…ุฉู…ูุฑูƒู‘ุจ
1564
+
1565
+ 392
1566
+ 00:32:57,370 --> 00:33:01,050
1567
+ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุทูˆู…ุฉ ูˆุงู„ุทูˆู…ุฉ ุจุงู„ู…ู†ุงุณุจุฉ ู…ู† ุนุงุฆู„๏ฟฝ๏ฟฝ ู†ุจุงุชูŠุฉ
1568
+
1569
+ 393
1570
+ 00:33:01,050 --> 00:33:05,290
1571
+ ุงู„ู„ูŠ ู‡ูŠ ุนุงุฆู„ุฉ ุงู„ุงู„ูŠูˆู… ูˆุจู†ุงุก ุนู„ู‰ ุฐู„ูƒ ู…ุฌู…ูˆุนุฉ ุงู„ุฃู„ู„
1572
+
1573
+ 394
1574
+ 00:33:05,290 --> 00:33:10,930
1575
+ ุฃุฎุฏุชู‡ุง ุงู„ุฅุณู… ู„ุฃู† ุงู„ู…ูุฑูƒู‘ุจ ุชุจุนู‡ุง ู…ูˆุฌูˆุฏ ููŠ ุงู„ุทูˆู…ุฉ
1576
+
1577
+ 395
1578
+ 00:33:10,930 --> 00:33:15,330
1579
+ ูˆู„ุงุญุธูˆุง ุงู„ุทูˆู…ุฉ ู„ูŠุด ุงู„ุฑุงุฆุญุฉ ุงู„ู…ุฒุนุฌุฉ ุชุจุนุชู‡ุง ู…ู†
1580
+
1581
+ 396
1582
+ 00:33:15,330 --> 00:33:19,140
1583
+ ุงู„ูƒุจุฑูŠุช ุงู„ู„ูŠ ููŠู‡ุงู…ุงุดูŠ ุงู„ุทูˆู…ุฉ ุงู„ู„ูŠ ู„ู‡ุง ุฑุงุฆุญุฉ ู…ุฒุนุฌุฉ
1584
+
1585
+ 397
1586
+ 00:33:19,140 --> 00:33:21,900
1587
+ ูˆุงู„ู„ูŠ ุจูŠุงูƒู„ ุทูˆู…ุฉ ูˆู…ุงูŠุฑูˆุญุด ูŠุตู„ูŠ ุฌู…ุงุนุฉ ูˆุณุท ุงู„ู†ุงุณ
1588
+
1589
+ 398
1590
+ 00:33:21,900 --> 00:33:26,400
1591
+ ูˆูŠุฒุนุฌ ุงู„ุฌุงู…ุนู‡ ูˆูƒู„ ู‡ุฐุง ุงู„ูƒู„ุงู… ูƒู„ู‡ ูˆูŠู† ู…ุง ู…ุดูƒู„ุชู‡
1592
+
1593
+ 399
1594
+ 00:33:26,400 --> 00:33:31,040
1595
+ ุทุงู„ุนุฉ ู…ู† ุงู„ูƒุงุจุฑูŠุช ุงู„ู„ูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุทูˆู…ุฉ ูˆุงุถุญุŸ ุงู„ู„ูŠ
1596
+
1597
+ 400
1598
+ 00:33:31,040 --> 00:33:35,340
1599
+ ู‡ูˆ ู‡ุฐุง ุงู„ู…ุฑูƒุจ ุงู„ุฏุงูŠู‚ุงู„ูŠู„ ุฏุงูŠุณู„ูุงูŠุช ู‡ุฐุง responsible
1600
+
1601
+ 401
1602
+ 00:33:35,340 --> 00:33:39,840
1603
+ ู‡ูˆ ุงู„ู…ุณุฆูˆู„ for the odor of garlic ู‡ูˆ ุงู„ู…ุณุฆูˆู„ ุนู†
1604
+
1605
+ 402
1606
+ 00:33:39,840 --> 00:33:47,190
1607
+ ุฑุงุฆุญุฉ ุงู„ุซูˆู… ู„ุจู„ุงุฏ family ุชุจุนุชู‡ุง ุงู„ุฃู„ูŠูˆู… ูˆุงุถุญุŸุงู„ุงู†
1608
+
1609
+ 403
1610
+ 00:33:47,190 --> 00:33:53,270
1611
+ ู„ุงุญุธูˆุง ู…ุนุงูŠุงุŒ ุงุฐุง ุงู†ุง ุงูƒุณุฏุช ุงู„ .. ุงู„ .. ุงู„ุชูŠูˆู„
1612
+
1613
+ 404
1614
+ 00:33:53,270 --> 00:33:57,370
1615
+ ุจูŠุตูŠุฑ ุฏุงูŠ ุณุงู„ูุงูŠุชุŒ ุทุจ ุงุฐุง ุนู…ู„ุชูŠ ุงู„ุนู…ู„ูŠุฉ ุงู„ู…ุนุงูƒุณุฉุŒ
1616
+
1617
+ 405
1618
+ 00:33:57,370 --> 00:34:01,410
1619
+ reductionุŒ ุจุงุฑูˆุฏ ุจูŠูƒุณุฑูˆุงุŒ ุงู„ุฏูŠ ุณุงู„ูุงูŠุช are reduced
1620
+
1621
+ 406
1622
+ 00:34:01,410 --> 00:34:06,970
1623
+ to thyolsุŒ ุงู„ุซูŠูˆู„s are oxidized to ุฏุงูŠ ุณุงู„ูุงูŠุชุŒ
1624
+
1625
+ 407
1626
+ 00:34:06,970 --> 00:34:13,290
1627
+ ู‡ุฐู‡ ุจุงู„ู…ู†ุงุณุจุฉุงู†ุชุจู‡ูˆุง ู…ุนุงูŠ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
1628
+
1629
+ 408
1630
+ 00:34:13,290 --> 00:34:15,350
1631
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
1632
+
1633
+ 409
1634
+ 00:34:15,350 --> 00:34:15,430
1635
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
1636
+
1637
+ 410
1638
+ 00:34:15,430 --> 00:34:15,970
1639
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
1640
+
1641
+ 411
1642
+ 00:34:15,970 --> 00:34:23,230
1643
+ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ ุงูƒุชุฑ
1644
+
1645
+ 412
1646
+ 00:34:24,580 --> 00:34:30,100
1647
+ ู„ูŠุดุŸ ู„ุฃู† ุงู„ู„ูŠ ุจูŠู…ุณูƒ ุงู„ุฌุฒูŠุฆุงุช ุฒูŠ ุงู„ุจุฑูˆุชูŠู†ุงุช ูˆุบูŠุฑู‡ุง
1648
+
1649
+ 413
1650
+ 00:34:30,100 --> 00:34:34,500
1651
+ ู†ูˆุนูŠู† ู…ู† ุงู„ bonding ุงู„ hydrogen bonding ูˆ ุงู„
1652
+
1653
+ 414
1654
+ 00:34:34,500 --> 00:34:37,880
1655
+ disulfide bonding ูŠุนู†ูŠ ู„ู…ุง ูŠูƒูˆู† ุงู„ุจุฑูˆุชูŠู† ุนุงู…ู„ ุฒูŠ
1656
+
1657
+ 415
1658
+ 00:34:37,880 --> 00:34:42,100
1659
+ ู‡ูŠูƒ ุฒูŠ helix ู…ุซู„ุง ุจูŠูƒูˆู† ุทุงู„ุน ู…ู† ู‡ู†ุง ุฃุณุฃุชุด ูˆ ู…ู† ู‡ู†ุง
1660
+
1661
+ 416
1662
+ 00:34:42,100 --> 00:34:47,020
1663
+ ุฃุณุฃุชุด ุจูŠุนู…ู„ูˆุง oxidation ุจูŠุนู…ู„ูˆุง disulfide bond
1664
+
1665
+ 417
1666
+ 00:34:47,020 --> 00:34:52,960
1667
+ ูุจุตูŠุฑ ุงู„ู„ูŠ ู…ู…ุณูƒ ุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ูˆ ุฅูŠุดุŸุงู„ู€ disulfide
1668
+
1669
+ 418
1670
+ 00:34:52,960 --> 00:34:57,800
1671
+ bond ูˆุงุถุญ ุงู„ู„ูŠ ู…ู…ุณูƒ ุงู„ุจุฑูˆุชูŠู†ุงุช ู‡ูˆ ุงู„ู€ disulfide
1672
+
1673
+ 419
1674
+ 00:34:57,800 --> 00:35:03,780
1675
+ bond ุชู‚ูŠู† ู…ู‡ู…ูŠู† ุฌุฏุง ู‡ุฐุง ุงู„ูƒู„ุงู… ู„ู‡ ุชุทุจูŠู‚ูŠู† ูˆ
1676
+
1677
+ 420
1678
+ 00:35:03,780 --> 00:35:10,240
1679
+ ุชุทุจูŠู‚ูŠู† ู…ู‡ู…ูŠู† ุฌุฏุง ุงุชุฎูŠู„ูˆุง ุดุบู„ ู…ู…ุณูƒ ุจุฑูˆุงุจุท ู„ูˆ ูŠุง
1680
+
1681
+ 421
1682
+ 00:35:10,240 --> 00:35:17,420
1683
+ ุชูˆุฑุง ุงู„ุฑูˆุงุจุท ููƒ ุฌุฒุก ู…ู†ู‡ุง ุดูˆ ุจุฏู‡ ูŠุตูŠุฑุŸ ุจุชูุฑุฏ ุจุชูุฑุฏ
1684
+
1685
+ 422
1686
+ 00:35:17,420 --> 00:35:24,490
1687
+ ู‡ูŠูƒ ุนู† ุจุนุถ ุจุชุดูˆููˆุง ุงู„ุฎุดุจุฒูŠ ุงู„ู€ Sandwich ู‡ุฐุง ุงู„ู„ูŠ
1688
+
1689
+ 423
1690
+ 00:35:24,490 --> 00:35:28,710
1691
+ ุจูŠุนู…ู„ูˆุง ู…ู†ู‡ ุงู„ุฎุฒุงู†ุงุช ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ ุฃุญูŠุงู†ุงู‹ ุจุชุดูˆููˆุง
1692
+
1693
+ 424
1694
+ 00:35:28,710 --> 00:35:34,610
1695
+ ู„ู…ุง ูŠุชุนุฑุถ ู„ู„ู…ูŠู‡ ูƒูŠู ุจูŠูุดูุด ู‡ูŠูƒ ุฃูˆ ุจูŠู„ูุด ูˆ ู…ุง ุฅู„ู‰
1696
+
1697
+ 425
1698
+ 00:35:34,610 --> 00:35:39,930
1699
+ ุฐู„ูƒ ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ุดุบู„ุฉ ุชู‚ุฑูŠุจุง ู†ูุณ ุงู„ุดุบู„ุฉ ูˆูŠู†
1700
+
1701
+ 426
1702
+ 00:35:39,930 --> 00:35:47,140
1703
+ ุจุชุตูŠุฑุงู„ุนูŠู† ููŠ ุงู„ุนูŠู† ููŠ ุงู„ู‚ุฑู†ูŠุงุช ุชุจุนูˆู† ุงู„ุนูŠู† ูˆู…ุง
1704
+
1705
+ 427
1706
+ 00:35:47,140 --> 00:35:52,460
1707
+ ุฅู„ู‰ ุฐู„ูƒ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุจุงู„ุธุจุท ูƒุงู„ู‚ุงุชู„ ุงู†ู‡ ู‡ุฐู‡ ุงู…ู…ุณูƒุฉ
1708
+
1709
+ 428
1710
+ 00:35:52,460 --> 00:35:57,820
1711
+ ู†ูุชุฑุถ ู…ุงุฎุฏุฉ ู…ุณุงุญู‡ุง ุงู„ุฌุฏ ูˆุงู…ู…ุณูƒุฉ ุจุงุณ ุงุณุจูˆู†ุฒ ูƒู„ู‡ุง
1712
+
1713
+ 429
1714
+ 00:35:57,820 --> 00:36:02,080
1715
+ ุงู…ู…ุณูƒุฉ ุจุงุณ ุงุณุจูˆู†ุฒ ุงู„ุงู† ู„ูˆ ูŠุง ุชุฑู‰ ุงู„ุงุณ ุงุณุจูˆู†ุฒ
1716
+
1717
+ 430
1718
+ 00:36:02,080 --> 00:36:08,500
1719
+ ุชุจุนุชู‡ุง ุงุชูƒุณุฑุช ุดูˆ ุจูŠุตูŠุฑ ููŠู‡ุง ูƒุงู†ุช ุฒูŠ ู‡ูŠูƒ ุดุงูŠููŠู†
1720
+
1721
+ 431
1722
+ 00:36:08,500 --> 00:36:14,900
1723
+ ุงู†ุชูˆุง ู…ุนุงู‡ ุงุชูƒุณุฑูˆุง ุงู„ุงุณ ุงุณุจูˆู†ุฒุจุชู†ูุด ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒ
1724
+
1725
+ 432
1726
+ 00:36:14,900 --> 00:36:20,240
1727
+ ุทุจุนุง ูƒูˆู†ู‡ู… ู‡ุฏูˆู„ุฉ ู…ู† ุฎู„ุงู„ู‡ู… ุงู„ุฃุดุนุฉ ุจุฏุฃ ุชู…ุดูŠ ู…ุนู†ุงู‡
1728
+
1729
+ 433
1730
+ 00:36:20,240 --> 00:36:24,980
1731
+ ุฐู„ูƒ ู‡ูˆ ุนู…ู„ูŠุฉ ุงู„ุฅุจุตุงุฑ ุงุฎุชู„ุช ู„ูˆ ุฃู†ุง ุจุฏูŠ ุฃุฑุฌุน ุงู„ูˆุถุน
1732
+
1733
+ 434
1734
+ 00:36:24,980 --> 00:36:31,840
1735
+ ุงู„ุทุจูŠุนูŠ ุฅูŠุด ุจุฏูŠ ุฃุนู…ู„ุŸ ๏ฟฝ๏ฟฝูŠุด ุจุฏูŠ ุฃุนู…ู„ุŸ ุจุฏูŠ ุฃุฑุฌุน ุฃูƒูˆู†
1736
+
1737
+ 435
1738
+ 00:36:31,840 --> 00:36:37,550
1739
+ ู‡ุฐู‡ ุงู„ุฑูˆุงุจุทุจุฏูŠ ุงุฑุฌุน ุงูƒูˆู„ ู‡ุฐู‡ ุงู„ุฑูˆุงุจุท ู…ุธุจูˆุท ูˆู„ุง ู„ุงุŸ
1740
+
1741
+ 436
1742
+ 00:36:37,550 --> 00:36:43,210
1743
+ ุงู†ุง ุนุดุงู† ุงูƒูˆู† ุฒูŠ ู‡ูŠูƒ ู…ู…ุณูƒูŠู† ุจ SS bonds ุงุฎุชู„ุท ุงู„ SS
1744
+
1745
+ 437
1746
+ 00:36:43,210 --> 00:36:48,810
1747
+ bonds ู†ูุฎุช ุจุฏูŠ ุงุฑุฌุน ุงูƒูˆู†ู‡ู… ุจุชุฑุฌุน ุทุจูŠุนูŠุฉ ุงู„ุงู†
1748
+
1749
+ 438
1750
+ 00:36:48,810 --> 00:36:53,580
1751
+ ุงู„ุณุคุงู„ ูƒูŠู ุจุฏู‡ู… ูŠุฑุฌุนูˆุง ูŠูƒูˆู†ูˆู‡ู…ุŸู‡ุฐู‡ ู…ู† ุฃุญุฏุซ ู…ู† ุฃุญุฏุซ
1752
+
1753
+ 439
1754
+ 00:36:53,580 --> 00:36:59,940
1755
+ ุงู„ุทุฑู‚ ููŠ ุนู„ุงุฌ ุงู„ู…ุดุงูƒู„ ู„ู„ุนูŠู† ูˆุงู„ุงู† ู„ุฏูŠู†ุง ุจู„ุงุฒุฑ ู…ุน
1756
+
1757
+ 440
1758
+ 00:36:59,940 --> 00:37:05,420
1759
+ ุฃูˆุฒูˆู† ุจุงู„ุฃุดุนุฉ ุจูŠุถุบุทูˆุง ุนู„ูŠู‡ุง ุฃูˆุฒูˆู† ุงู„ ุฃูˆุฒูˆู† ุนุงู…ู„
1760
+
1761
+ 441
1762
+ 00:37:05,420 --> 00:37:10,160
1763
+ ู…ุคูƒุณู„ ุจูŠุนู…ู„ูˆู„ู‡ุง ุฃูƒุณุฏุง ู‡ุฐู‡ ู…ู† ุฃุญุฏุซ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ุตุงุฑ
1764
+
1765
+ 442
1766
+ 00:37:10,160 --> 00:37:15,580
1767
+ ููŠ ุบุฒุฉ ุทุจูŠุจ ุฃุฎุตุงุฆูŠ ูˆุจูŠุดุชุบู„ู‡ุง ููŠ ู…ุฑูƒุฒ ุงู„ุจุตุฑูŠุงุช ุงู„ู„ูŠ
1768
+
1769
+ 443
1770
+ 00:37:15,580 --> 00:37:19,830
1771
+ ุนู…ู„ูˆุงุงู„ู„ูŠ ุนู…ู„ุชู‡ ุงุธู† ู…ู†ุธู…ุฉ ุงู„ู…ุคุชู…ุฑ ุงู„ุฅุณู„ุงู…ูŠ ูŠุนู†ูŠ
1772
+
1773
+ 444
1774
+ 00:37:19,830 --> 00:37:24,810
1775
+ ุดุบู„ ุญุฏูŠุซ ุฌุฏุง ุงู† ุงู†ุช ุชูŠุฌูŠ ุชู‚ูˆู„ ู„ูŠุด ู‡ุฐู‡ ู†ูุดุช ูˆ ุงูุฑุฌุช
1776
+
1777
+ 445
1778
+ 00:37:24,810 --> 00:37:29,990
1779
+ ู„ุฃู† ุงู„ di-sulfate sponge ุงูŠุด ุตุงุฑู„ู‡ุงุŸ ุงุชูƒุณุฑุช ูƒูŠู
1780
+
1781
+ 446
1782
+ 00:37:29,990 --> 00:37:35,990
1783
+ ุจุฏูŠ ุงุฑุฌุนู‡ุงุŸ ุจุฏูŠ ุงุนู…ู„ oxidation ุจุฏูŠ ุงุฑุฌุน ุงู„ุซูŠูˆู† ุงู„ู‰
1784
+
1785
+ 447
1786
+ 00:37:35,990 --> 00:37:42,290
1787
+ ุงู„ di-sulfate ู‡ุฐุง ุชุทุจูŠู‚ ููŠ ุงู„ุนู†ูŠู† ููŠ ุชุทุจูŠู‚ ุชุงู†ูŠ ุจุณ
1788
+
1789
+ 448
1790
+ 00:37:42,290 --> 00:37:47,830
1791
+ ู…ุด ููŠ ุงู„ุนู†ูŠู† ุนุงุฏูŠ ููŠ ุงู„ู†ุณูˆุงู† ู…ุนุธู…ู‡ุฃู‡ ูˆูŠู† ู‡ุฐุง
1792
+
1793
+ 449
1794
+ 00:37:47,830 --> 00:37:53,210
1795
+ ุงู„ุชุทุจูŠู‚ ุงู„ุชุงู†ูŠุŸ ูˆูŠู† ุงู„ุชุทุจูŠู‚ ุงู„ุชุงู†ูŠ ููŠ ุงู„ุดุนุฑุŸ ุงู„ุดุนุฑ
1796
+
1797
+ 450
1798
+ 00:37:53,210 --> 00:37:58,630
1799
+ ุฅุฐุง ุจุชุญุณูˆุง ุฃู†ู‡ ู…ุด ุฒูŠ ุงู„ุฎูŠุท ู…ุฑุงุช ููŠ ุฃุดูŠุงุก ุฃู†ุชูˆุง
1800
+
1801
+ 451
1802
+ 00:37:58,630 --> 00:38:02,850
1803
+ ุจุชู†ุชุจู‡ูˆุง ุงู„ hash ุจู…ุนู†ู‰ ู„ูˆ ุฃู†ุง ุฃุฎุฏุช ุดุนุฑุฉ .. ุดุนุฑุฉ
1804
+
1805
+ 452
1806
+ 00:38:02,850 --> 00:38:07,090
1807
+ ุทูˆู„ู‡ุง ุฎู…ุณุฉ ุณุงู†ุชู… ู…ุงุจุฏูŠุด ุฃู‚ูˆู„ ุฃู†ู‡ุง ุทูˆูŠู„ุฉ ูƒุชูŠุฑ ุฃุฑุจุนุฉ
1808
+
1809
+ 453
1810
+ 00:38:07,090 --> 00:38:10,490
1811
+ ุฎู…ุณุฉ ุณุงู†ุชู… ู…ุฑุงุช ูˆ .. ูˆ ู…ุซู„ ูƒุงู„ูˆุงุญุฏ ุฒูŠ ู‡ูŠูƒ ู…ู…ูƒู†
1812
+
1813
+ 454
1814
+ 00:38:10,490 --> 00:38:14,730
1815
+ ุงู„ุดุนุฑุฉ ุชูƒูˆู† ุจู‡ุฐุง ุงู„ุดูƒู„ุจุชุจู‚ู‰ ุนุฏู„ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ
1816
+
1817
+ 455
1818
+ 00:38:14,730 --> 00:38:18,310
1819
+ ุดุนุฑู‡ุง ุทูˆู„ู‡ ุฎู…ุณุฉ ุณุงู†ุชูŠ ูˆุงู†ุง ู…ุงุณูƒู‡ุง ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ
1820
+
1821
+ 456
1822
+ 00:38:18,310 --> 00:38:22,970
1823
+ ุงุฑุจุน ุฎู…ุณุฉ ุณุงู†ุชูŠ ุงูˆ ู„ูˆ ู‡ูŠูƒ ู…ู…ูƒู† ุชูƒูˆู† ุนุฏู„ ุงุชุฎูŠู„ูˆุง ู„ูˆ
1824
+
1825
+ 457
1826
+ 00:38:22,970 --> 00:38:28,610
1827
+ ุงู†ุชูˆุง ุฌูŠุจุชูˆุง ุฎูŠุท ุทูˆู„ู‡ ุงุฑุจุน ุณุงู†ุชูŠ ุจุชู‚ุฏุฑูˆุง ุชู…ุณูƒูˆู‡
1828
+
1829
+ 458
1830
+ 00:38:28,610 --> 00:38:34,290
1831
+ ูŠูƒูˆู† ุนุฏู„ ู„ููˆู‚ุŸ ุงุฐุง ููŠ ูุฑู‚ ุจูŠู† ุงู„ุดุนุฑูˆุงู„ุฎูŠุท ุงู„ุนุงุฏู‰
1832
+
1833
+ 459
1834
+ 00:38:34,290 --> 00:38:39,190
1835
+ ุงู†ู‡ ุงุฌูˆู‰ ุงู„ุดุนุฑู‡ ูˆู„ุง ุงู„ุฎูŠุท ุงู„ุดุนุฑู‡ ุงู„ุดุนุฑู‡ ุจุชุธู‡ุฑ ุจู‡ุฐุง
1836
+
1837
+ 460
1838
+ 00:38:39,190 --> 00:38:43,890
1839
+ ุงู„ุดูƒู„ ู…ุธุจูˆุท ูˆู„ุง ู„ุฃ ุทุจ ุงูŠุด ุงู„ู„ูŠ ู…ู…ุณูƒ ุงู„ุดุนุฑู‡ ุจู‡ุฐุง
1840
+
1841
+ 461
1842
+ 00:38:43,890 --> 00:38:48,130
1843
+ ุงู„ุดูƒู„ ุงู† ุงู„ุดุนุฑู‡ ููŠู‡ุง ุงู„ di sulfide point ุจุชุชูŠุฌูŠ ู…ู†
1844
+
1845
+ 462
1846
+ 00:38:48,130 --> 00:38:51,570
1847
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ amino acid ุงู„ุชุณุจูŠู„ ุงู„ู„ูŠ ููŠู‡ SOS
1848
+
1849
+ 463
1850
+ 00:38:51,570 --> 00:38:55,170
1851
+ ูุงู„ุจุฑูˆุชูŠู†ุงุช ุชุจุนุช ุงู„ุดุนุฑู‡ ุจุชู‚ุฏุฑูˆุง ุชุชุฎูŠู„ูˆุง ู‡ูŠูƒ
1852
+
1853
+ 464
1854
+ 00:38:55,170 --> 00:39:00,690
1855
+ ุงู„ุจุฑูˆุชูŠู† ููŠ ุงู„ุดุนุฑู‡ ู…ู…ุณูƒ ุจdi sulfide point ู‡ุฐุง ุงู„ู„ูŠ
1856
+
1857
+ 465
1858
+ 00:39:00,690 --> 00:39:05,430
1859
+ ุจูŠุฌูˆู‡ ุงูŠุดุงู„ู„ูŠ ุจูŠุฌูˆู‘ุด ุดุนุฑ .. ุงู„ุขู† ุดูˆููˆุง ุฅูŠุด ุงู„ู„ูŠ
1860
+
1861
+ 466
1862
+ 00:39:05,430 --> 00:39:10,230
1863
+ ุจูŠุตูŠุฑ ุนู†ุฏู†ุง .. ู…ุงุญุฏุด ููŠ ุงู„ุฏู†ูŠุง ุฑุงุถูŠ ุจู†ุตูŠุจู‡ .. ุฅูŠุด
1864
+
1865
+ 467
1866
+ 00:39:10,230 --> 00:39:13,510
1867
+ ูŠุนู†ูŠ ู…ุงุญุฏุด ุฑุงุถูŠ ุจู†ุตูŠุจู‡ุŸ ุงู„ู„ูŠ ุดุนุฑู‡ู… .. ู…ุง ุดุงุก ุงู„ู„ู‡
1868
+
1869
+ 468
1870
+ 00:39:13,510 --> 00:39:17,930
1871
+ ุนู†ู‡ ูŠุง ู…ุญู„ุงู‡ .. ุนุฏู„ ูˆ ู…ุง .. ุฅู„ู‰ ุฐู„ูƒ ุจุฏู‡ู… ูŠุฎู„ูˆู‡ู… ู„ูˆ
1872
+
1873
+ 469
1874
+ 00:39:17,930 --> 00:39:23,890
1875
+ ู„ูˆ .. ูƒุฑู„ุฉูˆ ุงู„ .. curly .. ูˆ ุงู„ุดุนุฑู‡ู… ุงู„ curly ู‡ุฐุง
1876
+
1877
+ 470
1878
+ 00:39:23,890 --> 00:39:28,590
1879
+ ุจุฏู‡ ุจูŠุฎู„ูˆู‡ ุนุฏู„ ุจุชู„ุงู‚ูˆุง ุงู„ู†ุงุณ ูˆ ูƒู„ู‡ ุจุฑุฒู‚ ุงู„ูƒูˆุงููŠุฑ
1880
+
1881
+ 471
1882
+ 00:39:28,590 --> 00:39:32,750
1883
+ ุงู„ุดุนุฑ ุนุฏู„ ุจูŠุฑูˆุญ ุนู„ู‰ ุงู„ูƒูˆุงููŠุฑ ุจูŠู‚ูˆู„ูˆุง ุจุงู„ู„ู‡ ู„ูˆ ู„ูˆ
1884
+
1885
+ 472
1886
+ 00:39:32,750 --> 00:39:37,390
1887
+ ู„ูŠู‡ ูˆ ุงู„ุดุนุฑู‡ู… ู„ูˆ ู„ูˆ ุจูŠุฑูˆุญ ุจูŠุนู…ู„ ุนู…ู„ูŠุฉ ุฅูŠุด ูƒูˆ ุงู„ุดุนุฑ
1888
+
1889
+ 473
1890
+ 00:39:37,390 --> 00:39:41,510
1891
+ ุจูŠุณู…ูˆู‡ุง ู…ุธุจูˆุท ูˆู„ุง ู„ุฃุŸ ุจุชุดูˆู ู†ุงุณ ู‡ูŠูƒ ู…ุฑุจูŠู† ุดุนุฑู‡ู… ุทุจ
1892
+
1893
+ 474
1894
+ 00:39:41,510 --> 00:39:46,260
1895
+ ุฅู†ุชูˆุง ุดุนุฑูƒูˆุง ูƒู„ู‡ ู‡ูŠูƒ ูƒุงู†ุŸุฃูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู‡ู†ุงุŸ
1896
+
1897
+ 475
1898
+ 00:39:46,260 --> 00:39:50,440
1899
+ ุจูŠุดุชุบู„ูˆุง ุนู…ู„ูŠุฉ ูƒูŠู…ูŠุงุฆูŠุฉ ุจุญุชุฉ ู„ูƒูˆุงูุฑูŠุฉ ุจูŠุดุชุบู„ูˆุง
1900
+
1901
+ 476
1902
+ 00:39:50,440 --> 00:39:55,840
1903
+ ุนู…ู„ูŠุฉ ูƒูŠู…ูŠุงุฆูŠุฉ ุจุญุชุฉ ู†ูุชุฑุถ ุฅู†ู‡ ุดุนุฑ ูƒุงู† ุนุฏู„ุŒ ุจูŠูŠุฌูˆุง
1904
+
1905
+ 477
1906
+ 00:39:55,840 --> 00:40:02,200
1907
+ ูˆ ุจูŠุญุทูˆุง ุนู„ูŠู‡ reducing agent ุนุงู…ู„ ู…ุฎุชุฒู†ุŒ ุจูŠุฑูˆุญูˆุง ูˆ
1908
+
1909
+ 478
1910
+ 00:40:02,200 --> 00:40:08,610
1911
+ ุจูŠูƒุณุฑูˆุงู„ู…ุง ูŠูƒุณุฑูˆุง .. ุดูˆ ุจุชุตูŠุฑ ุงู„ุดุนุฑุฉุŸ ุฑุฎูˆุฉุŒ
1912
+
1913
+ 479
1914
+ 00:40:08,610 --> 00:40:13,510
1915
+ ุจูŠุงุฎุฏูˆู‡ุง ุนู„ู‰ ุงู„ู†ุงุฑ ูˆ ุจูŠู„ูˆูˆู‡ุงุŒ ุจูŠุนู…ู„ูˆู‡ุง ุดูƒู„ ุฌุฏูŠุฏ
1916
+
1917
+ 480
1918
+ 00:40:13,510 --> 00:40:17,110
1919
+ ู„ุฃู†ู‡ ุจุงู„ูˆุถุน ุงู„ุทุจูŠุนูŠ ู…ุด ุณู‡ู„ ุฃู†ู‡ู… ูŠุนู…ู„ูˆุง ุฃู†ู‡ู…
1920
+
1921
+ 481
1922
+ 00:40:17,110 --> 00:40:21,350
1923
+ ูŠู„ูˆูˆู‡ุงุŒ ู„ุงุฒู… ุงูƒุณุฑูˆุง ุงู„ู…ุญุชูˆู‰ ุชุจุนู‡ุงุŒ ูŠูƒุณุฑูˆุง ู‡ุฐู‡
1924
+
1925
+ 482
1926
+ 00:40:21,350 --> 00:40:25,450
1927
+ ุงู„ุฑูˆุงุจุทุŒ ุจุนุฏ ู…ุง ูŠูƒุณุฑูˆู‡ุง ุจูŠู„ูˆูˆู‡ุงุŒ ุงู„ุขู† ุตุงุฑูˆุง
1928
+
1929
+ 483
1930
+ 00:40:25,450 --> 00:40:28,970
1931
+ ุนุงู…ู„ูŠู†ู‡ุง ูƒู…ู„ูˆู„ุฉ ูˆ ู…ุง ุฅู„ู‰ ุฐู„ูƒุŒ ุฅูŠุด ุจุนุฏูŠู† ุจุฏู‡ู…
1932
+
1933
+ 484
1934
+ 00:40:28,970 --> 00:40:36,000
1935
+ ูŠุนู…ู„ูˆุงุŸ ุจุฏู‡ู… ูŠุธุจุทูˆู‡ุง ุจุงู„ุดูƒู„ ุงู„ุฌุฏูŠุฏุจุฏู‡ู… ูŠุนูˆุฏูˆุง
1936
+
1937
+ 485
1938
+ 00:40:36,000 --> 00:40:43,220
1939
+ ูŠุฑุฌุนูˆุง ุงู„ุฃุณ ุฃุณุจูˆู†ุฒ ุงู„ู„ูŠ ูƒุณุฑูˆู‡ู… ุจุฏู‡ู… ูŠุนูˆุฏูˆุง ูŠุฑุฌุนูˆุง
1940
+
1941
+ 486
1942
+ 00:40:43,220 --> 00:40:48,420
1943
+ ุงู„ุฃุณ ุฃุณุจูˆู†ุฒ ุงู„ู„ูŠ ูƒุณุฑู‡ู… ูƒูŠู ุจูŠุฑุฌุนูˆู‡ู…ุŸ ุจุงู„ุฃูƒุณุฏุฉ
1944
+
1945
+ 487
1946
+ 00:40:48,420 --> 00:40:54,620
1947
+ ูˆุนุดุงู† ู‡ูŠูƒ ุงู„ูƒูˆูุฑูŠุฉ ุฏุงูŠู…ุง ุนู†ุฏู‡ู… ุฅูŠุดุŸ ู…ูŠู‘ุฉ ุฃูƒุณุฌูŠู† ู…ุด
1948
+
1949
+ 488
1950
+ 00:40:54,620 --> 00:40:57,980
1951
+ ุฏุงูŠู…ุง ุนู†ุฏู‡ู… ู…ูŠู‘ุฉ ุงู„ุฃูƒุณุฌูŠู† ุงู†ุชุจู‡ูˆุง ู…ุนุงูŠุง ุฎู„ูŠู†ูŠ
1952
+
1953
+ 489
1954
+ 00:40:57,980 --> 00:41:01,860
1955
+ ุฃุญุงูˆู„ .. ูŠุนู†ูŠ ุฃุฑุณู…ู„ูƒูˆุง ูŠุงู‡ุง ุจุดูƒู„ ุณุฑูŠุน ุญุชู‰ ุชุชุฎูŠู„ูˆุง
1956
+
1957
+ 490
1958
+ 00:41:01,860 --> 00:41:05,000
1959
+ ุงู†ุชูˆุง ู‡ุงูŠ ุงู„ุดุนุฑุฉ ุงู†ู…ุณูƒุฉ ุจุฅูŠุดุŸ
1960
+
1961
+ 491
1962
+ 00:41:07,950 --> 00:41:17,450
1963
+ ุงู„ุฎุทูˆุฉ ุงู„ุฃูˆู„ู‰ ุจุชุฎู„ูŠู‡ุง ุถุนูŠูุฉ S H S H S H S H ู‡ุฐู‡
1964
+
1965
+ 492
1966
+ 00:41:17,450 --> 00:41:22,090
1967
+ ุงู„ุนู…ู„ูŠุฉ Reduction ุจุนุฏ ู…ุง ุงุนู…ู„ุช ู„ู‡ุง Reduction ุดูˆ
1968
+
1969
+ 493
1970
+ 00:41:22,090 --> 00:41:28,250
1971
+ ุจุฏู‰ ุงุนู…ู„ ููŠู‡ุงุŸ ุจุฏู‰ S
1972
+
1973
+ 494
1974
+ 00:41:28,250 --> 00:41:37,630
1975
+ H S Hู‡ูŠ ู†ู„ูˆูŠุชู‡ุงุŒ ุจุณ ู…ุง ุฒุงู„ุช ู‚ุงุดุฑ ุงู„ุดุนุฑุงุก ุทุฑูŠู‚ุฉ
1976
+
1977
+ 495
1978
+ 00:41:37,630 --> 00:41:50,870
1979
+ ุจุชุฑูˆุญ ุชุซุจุชู‡ุง ุจู‡ุฐุง ุงู„ุดูƒู„ ุงู„ุฌุฏูŠุฏ Oxidation ุฅุฐุง ูƒุฃู†
1980
+
1981
+ 496
1982
+ 00:41:50,870 --> 00:41:57,730
1983
+ ููƒูŠุช ุงู„ู‚ูˆุฉ ุชุจุนุชู‡ุงุŒ ู„ููŠุชู‡ุงุŒ ูˆ ุนูˆุฏูŠ ุชุฑุฌุนุชู‡ุง ูƒูŠู ููƒูŠุช
1984
+
1985
+ 497
1986
+ 00:41:57,730 --> 00:42:02,640
1987
+ ุงู„ู‚ูˆุฉุŸุจุงู„ reduction ูƒูŠู ุฑุฌุนุชู‡ุงุŸ ุจุงู„ oxidation
1988
+
1989
+ 498
1990
+ 00:42:02,640 --> 00:42:06,440
1991
+ ุชู„ุงุญุธูŠู† ูƒูŠู ุงู„ุนู…ู„ูŠุฉ ุจุงู„ุชู…ุŸ ู‡ุฐุง ุงู„ูƒู„ุงู… ูƒู„ู‡ ุจูŠุนู…ู„ูˆุง
1992
+
1993
+ 499
1994
+ 00:42:06,440 --> 00:42:10,620
1995
+ ููŠ ุดุนูˆุฑ ุงู„ุจุดุฑ ู…ูŠู†ุŸ
1996
+
1997
+ 500
1998
+ 00:42:10,620 --> 00:42:17,550
1999
+ ุงู„ูƒูˆุงูุฑูŠุฉุŒ ู…ุนู…ู„ ูƒูŠู…ูŠุงุฆูŠู„ุง ู„ุง ู„ู…ุง ูŠุนูˆุฏ ูŠู†ู…ูˆ ูŠุนูˆุฏ
2000
+
2001
+ 501
2002
+ 00:42:17,550 --> 00:42:21,470
2003
+ ูŠู†ู…ูˆ ุนู„ู‰ ุงู„ุฃุตู„ ูŠุนู†ูŠ ุจุชูƒูˆู† ู„ูุชุฑุฉ ู…ุนูŠู†ุฉ ุฃุณุจูˆุน
2004
+
2005
+ 502
2006
+ 00:42:21,470 --> 00:42:27,030
2007
+ ุฃุณุจูˆุนูŠู† ุดุบู„ุฉ ุดุบู„ุฉ ุจุณูŠุทุฉ ูˆุงุถุญ ูู„ุงุญุธูˆุง ุงู†ุชูˆุง ูƒูŠู
2008
+
2009
+ 503
2010
+ 00:42:27,030 --> 00:42:33,290
2011
+ ูŠุนู†ูŠ ุงู†ู‡ ุชุทุจูŠู‚ุงุช ูƒุชูŠุฑุฉ ููŠ ุงู„ุญูŠูˆุงู† ุฃุตู„ู‡ุง ููŠ ุงู„ูƒูŠู…ูŠุง
2012
+
2013
+ 504
2014
+ 00:42:33,290 --> 00:42:39,430
2015
+ ุจุชู…ู†ุงู„ูƒูˆุง ุงู„ุชูˆููŠู‚ ุจูƒุฑุง ุงู„ุณุงุนุฉ 11 ููŠ ุงู…ุชุญุงู† ุงู„
2016
+
2017
+ 505
2018
+ 00:42:39,430 --> 00:42:41,170
2019
+ organic milk exam
2020
+
PL9fwy3NUQKwaZxgC_hXbLNCo6xPA4DJV_/7JGOVMt_BfA_raw.json ADDED
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