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1
+ 1
2
+ 00:00:05,230 --> 00:00:07,630
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,630 --> 00:00:10,650
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ู…ุงุฏุฉ ุงู„ measurement ุงู„ู„ูŠ ู‡ูˆ
8
+
9
+ 3
10
+ 00:00:10,650 --> 00:00:14,350
11
+ chapter two standards and dimensional units of
12
+
13
+ 4
14
+ 00:00:14,350 --> 00:00:20,090
15
+ measurement ู†ุณุชุฑุฌุน
16
+
17
+ 5
18
+ 00:00:20,090 --> 00:00:24,110
19
+ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุฏุฑุณู†ุงู‡ุง ููŠ chapter one ุงู„ู„ูŠ ู‡ูŠ ุงู„ basis
20
+
21
+ 6
22
+ 00:00:24,110 --> 00:00:27,450
23
+ of measurement ุฃุณุงุณ ุงู„ู‚ูŠุงุณ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู†
24
+
25
+ 7
26
+ 00:00:27,450 --> 00:00:33,390
27
+ ูƒู…ูŠุฉ ูŠุฑุงุฏ ู‚ูŠุงุณู‡ุงูˆู…ุนูŠุงุฑ standard ุจุณู…ุน ุญูƒูŠู†ุง ุงู„ุทูˆู„
28
+
29
+ 8
30
+ 00:00:33,390 --> 00:00:40,650
31
+ ุนุดุงู† ุงู‚ูŠุณ ุทูˆู„ ู‚ุทุนุฉ ุฎุดุจูŠุฉ ุจู‚ุงุฑู† ุงู„ู‚ุทุนุฉ ู…ุน standard
32
+
33
+ 9
34
+ 00:00:40,650 --> 00:00:45,570
35
+ ู…ุชุฑ caliber micrometer ูููŠ ุงู„ุขุฎุฑ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:00:45,570 --> 00:00:49,810
39
+ ู…ู‚ุงุฑู†ุฉ ุญูƒูŠู†ุง ู‚ุฏ ุชูƒูˆู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุจุงุดุฑุฉ ุงูˆ ุบูŠุฑ ู…ุจุงุดุฑุฉ
40
+
41
+ 11
42
+ 00:00:49,810 --> 00:00:54,360
43
+ ู…ุด ู‡ู†ุฎุด ููŠ ุงู„ุชูุงุตูŠู„ ุงู„ู„ูŠ ุฑุฌุนูˆู„ู‡ุงู„ุฃู† we want to
44
+
45
+ 12
46
+ 00:00:54,360 --> 00:00:58,720
47
+ define dimension and dimensional unit ุงู„ dimension
48
+
49
+ 13
50
+ 00:00:58,720 --> 00:01:03,480
51
+ ู‡ูˆ defining characteristics of an entity ูŠุนู†ูŠ ุงู„
52
+
53
+ 14
54
+ 00:01:03,480 --> 00:01:13,220
55
+ length ุงู„ุทูˆู„ is a dimension ุงู„ meter ู‡ูŠ unit ุงูˆ
56
+
57
+ 15
58
+ 00:01:13,220 --> 00:01:15,220
59
+ dimensional unit ู‡ูŠ ุงู„ unit ุจุชุงุนุฉ ุงู„ length ู‡ูŠ
60
+
61
+ 16
62
+ 00:01:15,220 --> 00:01:21,320
63
+ ูˆุงุญุฏุฉ ุงูŠุดุŸ ู‚ูŠุงุณ ุงู„ุทูˆู„ูุนู†ุฏู†ุง ุงู„ dimension ุงู„ู„ูŠ ู‡ูˆ
64
+
65
+ 17
66
+ 00:01:21,320 --> 00:01:24,360
67
+ ุงู„ length ุนู†ุฏูŠ ุงู„ dimension in let ุงู„ู„ูŠ ู‡ูŠ basis
68
+
69
+ 18
70
+ 00:01:24,360 --> 00:01:29,160
71
+ for quantification of the entity ูŠุนู†ูŠ ุฃู†ุง ุจุฃูˆุตู
72
+
73
+ 19
74
+ 00:01:29,160 --> 00:01:32,340
75
+ ุงู„ุทูˆู„ ุจุดูƒู„ ูƒู… ู…ู† ุฎู„ุงู„ ุงู„ู…ุชุฑ ู…ู† ุฎู„ุงู„ ุงู„ู‚ุฏู… ู…ู† ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:32,340 --> 00:01:38,160
79
+ ุงู„ุงู†ุด ู…ู† ุฎู„ุงู„ ุงู„ู…ูŠ ู…ู† ุฎู„ุงู„ ุงู„ kilometer ู ุงู„ time
80
+
81
+ 21
82
+ 00:01:38,160 --> 00:01:47,090
83
+ is a dimension time is a dimension ุงู„ secondis
84
+
85
+ 22
86
+ 00:01:47,090 --> 00:01:52,290
87
+ dimensionally is the unit of time ุงู„ second ูˆุญุฏุฉ
88
+
89
+ 23
90
+ 00:01:52,290 --> 00:02:00,870
91
+ ู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฒู…ู† a dimension is unique however
92
+
93
+ 24
94
+ 00:02:00,870 --> 00:02:05,430
95
+ a particular dimension say length may be measured
96
+
97
+ 25
98
+ 00:02:05,430 --> 00:02:08,290
99
+ in various units such as feet meters inches or
100
+
101
+ 26
102
+ 00:02:08,290 --> 00:02:13,490
103
+ miles ุงู„ dimension ุงู„ูˆุงุญุฏ ุงู„ุทูˆู„ ุฎู„ุงุต ุงู„ุทูˆู„ ุทูˆู„ ู„ูƒู†
104
+
105
+ 27
106
+ 00:02:13,490 --> 00:02:17,720
107
+ ุงู„ุทูˆู„ ู…ู…ูƒู† ูŠู‚ุงุณุจุฃูƒุชุฑ ู…ู† ูˆุงุญุฏุฉ ู…ู…ูƒู† ู†ู‚ุงุณ ุจูˆุงุญุฏุฉ
108
+
109
+ 28
110
+ 00:02:17,720 --> 00:02:22,800
111
+ ุงู„ู…ุชุฑ ุงู„ู‚ุฏู… ุงู„ู…ูŠู„ ุงู„ kilometer ุฃูˆ ุงู„ inch ุฃูˆ ุฃูŠ
112
+
113
+ 29
114
+ 00:02:22,800 --> 00:02:26,340
115
+ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ
116
+
117
+ 30
118
+ 00:02:26,340 --> 00:02:31,260
119
+ systems of units must be established and agreed to
120
+
121
+ 31
122
+ 00:02:31,260 --> 00:02:39,150
123
+ ู„ุงุฒู… ูŠู†ุญุท ู†ุธุงู… ู„ู„ูˆุญุฏุงุชู…ูˆุญุฏ ูˆู…ุชูู‚ ุนู„ูŠู‡ ู…ู‡ู†ุฉ ุงู„
124
+
125
+ 32
126
+ 00:02:39,150 --> 00:02:43,550
127
+ systems must be standardized ู„ุงุฒู… ุชูƒูˆู† ู…ุนูŠุงุฑูŠุฉ
128
+
129
+ 33
130
+ 00:02:43,550 --> 00:02:48,210
131
+ ู…ุชูู‚ ุนู„ูŠู‡ุง ุฏูˆู„ูŠุง ู…ุงูŠู†ูุนุด ุฃุญูƒูŠ ุงู„ู…ุชุฑ ููŠ ุงู„ุตูŠู† ูŠูƒูˆู†
132
+
133
+ 34
134
+ 00:02:48,210 --> 00:02:52,870
135
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ุจุฑูŠุทุงู†ูŠุง ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู†ุงุจู„ุณ
136
+
137
+ 35
138
+ 00:02:52,870 --> 00:02:59,130
139
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู…ุตุฑ ุงู„ู…ุชุฑ ู…ุชุฑ ูˆุงู†ู…ุง ูƒุงู† because
140
+
141
+ 36
142
+ 00:02:59,130 --> 00:03:02,130
143
+ there are various systems ู„ุฃู† ููŠ ุนุฏูŠุฏ ู…ู† ุงู„ุฃู†ุธู…ุฉ
144
+
145
+ 37
146
+ 00:03:03,720 --> 00:03:07,700
147
+ there must be an agreement on the basis of
148
+
149
+ 38
150
+ 00:03:07,700 --> 00:03:11,100
151
+ conversion from system to system ู„ุฃู† ููŠ ุนู†ุฏู‰ ู†ุธุงู…
152
+
153
+ 39
154
+ 00:03:11,100 --> 00:03:16,700
155
+ .. ููŠ ุนู†ุฏู‰ inch ุฏู‡ ููŠ ุงู†ุฌู„ุณูŠุฉ ุนู†ุฏู‰ millimeter ู„ุงุฒู…
156
+
157
+ 40
158
+ 00:03:16,700 --> 00:03:19,960
159
+ ุจุฑุถู‡ ูŠุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ ุงู„ inch ุฃูƒู… millimeter ุงู„
160
+
161
+ 41
162
+ 00:03:19,960 --> 00:03:25,560
163
+ inch ุฃูƒู… millimeter ุงู„ู‚ุฏู… ุฃูƒู… ู…ุชุฑ ุฃูˆ ุงู„ meter ุฃูƒู…
164
+
165
+ 42
166
+ 00:03:25,560 --> 00:03:32,480
167
+ ู‚ุฏู… ุงู„ Kelvin ุฅูŠุด ุนู„ู‚ุชู‡ุง ุจุงู„ degrees ุณู„ุณู„ ูˆ ู‡ูƒุฐุง
168
+
169
+ 43
170
+ 00:03:34,970 --> 00:03:38,050
171
+ standards of measurement applied to units ุงู„ู„ูŠ ู‡ูˆ
172
+
173
+ 44
174
+ 00:03:38,050 --> 00:03:44,890
175
+ ู…ุนุงูŠูŠุฑ ุงู„ู‚ูŠุงุณุงุช ูŠุนู†ูŠ ูŠุทุจู‚ ุนู„ูŠู‡ุง ุงู„ูˆุญุฏุงุช to system
176
+
177
+ 45
178
+ 00:03:44,890 --> 00:03:48,930
179
+ of units ุฃู†ุธู…ุฉ ุงู„ูˆุญุฏุงุช and to unitary conversion
180
+
181
+ 46
182
+ 00:03:48,930 --> 00:03:51,550
183
+ between structures ูŠุนู†ูŠ ุฃู†ุธู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standards
184
+
185
+ 47
186
+ 00:03:51,550 --> 00:03:54,830
187
+ of measurement ุจุงุณุชุฎุฏุงู… ููŠ ุงู„ูˆุญุฏุงุช ู†ูุณู‡ุง ููŠ ู†ุธุงู…
188
+
189
+ 48
190
+ 00:03:54,830 --> 00:03:58,710
191
+ ุงู„ูˆุญุฏุงุช ู†ูุณู‡ุง ููŠ ุงู„ุชุญูˆูŠู„ ู…ู† ู†ุธุงู… ูˆุญุฏุงุช ู„ู†ุธุงู… ูˆุญุฏุงุช
192
+
193
+ 49
194
+ 00:04:02,980 --> 00:04:07,240
195
+ ุงู„ base units in the SI system ุงู„ูˆุญุฏูŠุงุช ุงู„ุฃุณุงุณูŠุฉ
196
+
197
+ 50
198
+ 00:04:07,240 --> 00:04:14,800
199
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ุทูˆู„ ุงู„ู„ูŠ ู‡ูŠ meter ูˆ ุงู„ symbol ุจุชุงุนู‡ุง m
200
+
201
+ 51
202
+ 00:04:14,800 --> 00:04:21,220
203
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ูƒุชู„ุฉ ุงู„ู„ูŠ ู‡ูŠ kilogram ุงู„ dimension ุฅูŠุด
204
+
205
+ 52
206
+ 00:04:21,220 --> 00:04:28,140
207
+ ุงู„ dimension length ุงู„ unit of dimension meter ุงู„
208
+
209
+ 53
210
+ 00:04:28,140 --> 00:04:34,120
211
+ dimension is mass ุงู„ unit of massูƒู„ุฌุฑุงู… ุงู„
212
+
213
+ 54
214
+ 00:04:34,120 --> 00:04:39,300
215
+ dimension is time unit of second ุงู„ dimension
216
+
217
+ 55
218
+ 00:04:39,300 --> 00:04:44,080
219
+ electric current ุงู„ unit ุฃู…ุจูŠุฑ ุงู„ dimension is
220
+
221
+ 56
222
+ 00:04:44,080 --> 00:04:48,500
223
+ temperature ุงู„ unit is Kelvin ุงู„ dimension amount
224
+
225
+ 57
226
+ 00:04:48,500 --> 00:04:52,320
227
+ of substance ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง color ู„ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ
228
+
229
+ 58
230
+ 00:04:52,320 --> 00:04:57,760
231
+ mole ุงู„ dimension luminous ุงู„ intensity ุงู„ุฅุถุงุกุฉ
232
+
233
+ 59
234
+ 00:04:57,760 --> 00:05:07,300
235
+ ุงู„ูˆุญุฏุฉ ุจุชุงุนุชู‡ุง candelaุฃูˆ ูƒู†ุฏูŠู„ ุจุงู„ุนุฑุจูŠุฉ ุงู„ุงู† ููŠ
236
+
237
+ 60
238
+ 00:05:07,300 --> 00:05:13,680
239
+ units derived units ูู‰ ุนู†ุฏู‰ ุงู„ planning angle ุงู„
240
+
241
+ 61
242
+ 00:05:13,680 --> 00:05:18,140
243
+ radians ูู‰ ุนู†ุฏู‰ ุงู„ solid angle ุงู„ radian ูู‰ ุนู†ุฏู‰
244
+
245
+ 62
246
+ 00:05:18,140 --> 00:05:22,950
247
+ ุงู„ frequency hertzุงู„ู„ุญุธุฉ ุงู„ radian ู…ุชุฑ per ู…ุชุฑ ุงู„
248
+
249
+ 63
250
+ 00:05:22,950 --> 00:05:25,930
251
+ steradian ู…ุชุฑ square per ู…ุชุฑ square ุงู„ hertz one
252
+
253
+ 64
254
+ 00:05:25,930 --> 00:05:29,630
255
+ over second ุงู„ู†ูŠูˆุชู† ุนุจุงุฑุฉ ุนู† ุงู„ mass ููŠ ุงู„
256
+
257
+ 65
258
+ 00:05:29,630 --> 00:05:33,350
259
+ acceleration ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุชุฑ per second square ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:05:33,350 --> 00:05:36,590
263
+ ุงู„ pressure ุจุงุณูƒุงู„ ุนุจุงุฑุฉ ุนู† ู†ูŠูˆุชู† ุนุงู„ู…ุชุฑ square
264
+
265
+ 67
266
+ 00:05:36,590 --> 00:05:40,070
267
+ ู„ุนูˆุงุทุฑ ู†ูŠูˆุชู† ูƒู…ุงู† ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุชุฑ ู…ู…ูƒู† ุงุฑุฌุน ู„ูˆุญุฏุงุช
268
+
269
+ 68
270
+ 00:05:40,070 --> 00:05:45,730
271
+ ุงู„ุฃุณุงุณูŠุฉ ุนู†ุฏูŠ ุงู„ุฌูˆู„ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ููŠ
272
+
273
+ 69
274
+ 00:05:45,730 --> 00:05:47,830
275
+ ู…ุณุงูุฉ ุงู„ู†ูŠูˆุชู†
276
+
277
+ 70
278
+ 00:05:49,660 --> 00:05:53,980
279
+ ู…ุธุจูˆุทุŸ ุนู†ุฏูŠ ุงู„ .. ุงู„ what? energy per unit time,
280
+
281
+ 71
282
+ 00:05:54,140 --> 00:05:58,740
283
+ joule per second ุนู†ุฏูŠ ุงู„ .. ุงู„ .. ุงู„ charge ุงู„ู„ูŠ
284
+
285
+ 72
286
+ 00:05:58,740 --> 00:06:04,760
287
+ ู‡ูŠ ampere .. ุงู„ ampere second ุงูˆ ุงู„ ampere ู…ุง ู‡ูˆ
288
+
289
+ 73
290
+ 00:06:04,760 --> 00:06:08,640
291
+ charge per unit timeุŒ ุงู„ .. ุงู„ .. ุงู„ ampere ู…ุซู„
292
+
293
+ 74
294
+ 00:06:08,640 --> 00:06:12,730
295
+ ู‚ุฏูู‚ ู„ุดุญู†ุงุชู…ุนู†ุงู‡ ุชู‚ูˆู„ charge ุนู„ู‰ ุงู…ุจูŠุฑ ููŠ second
296
+
297
+ 75
298
+ 00:06:12,730 --> 00:06:19,970
299
+ ุงู„ volt watt ุนู„ู‰ ุงู…ุจูŠุฑ ุนู†ุฏ ุงู„ capacitance ุงู„ูุฑุงุฏ
300
+
301
+ 76
302
+ 00:06:19,970 --> 00:06:26,070
303
+ ุงู„ู„ูŠ ู‡ูŠ C ุนู„ู‰ ุงู„ charge per unit volume ุงู„ ohm ุงู„
304
+
305
+ 77
306
+ 00:06:26,070 --> 00:06:30,810
307
+ resistance volt ุนู„ู‰ ุงู…ุจูŠุฑ ุงู„ magnetic flux Weber
308
+
309
+ 78
310
+ 00:06:30,810 --> 00:06:36,590
311
+ volt ููŠ second ุงู„ magnetic flux density Tesla ูˆ
312
+
313
+ 79
314
+ 00:06:36,590 --> 00:06:41,370
315
+ ู‡ูƒุฐุงููŠ other derived units ุนู†ุฏ ุงู„ area ุนุจุงุฑุฉ ุนู†
316
+
317
+ 80
318
+ 00:06:41,370 --> 00:06:45,110
319
+ ู…ุชุฑ ุณูƒูˆูŠุฑ ุงู„ acceleration ู…ุชุฑ per second ุณูƒูˆูŠุฑ ุนู†ุฏ
320
+
321
+ 81
322
+ 00:06:45,110 --> 00:06:47,270
323
+ ุงู„ angle of acceleration ุฑุฏูŠุงู† per second ุณูƒูˆูŠุฑ
324
+
325
+ 82
326
+ 00:06:47,270 --> 00:06:50,390
327
+ angle of velocity ุฑุฏูŠุงู† per second density ูƒูŠู„ูˆ
328
+
329
+ 83
330
+ 00:06:50,390 --> 00:06:55,950
331
+ ุฌุฑุงู… per ู…ุชุฑ ูƒูŠูˆุจ ู…ุชุฑ ูƒูŠูˆุจ dynamic viscosity ุจุณูƒุงู„
332
+
333
+ 84
334
+ 00:06:55,950 --> 00:06:59,470
335
+ ููŠ second heat flux watt per meter square moment
336
+
337
+ 85
338
+ 00:06:59,470 --> 00:07:04,750
339
+ of force ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† ู‚ูˆุฉ ููŠ ุฏุฑุน 200 ู…ุชุฑ specific
340
+
341
+ 86
342
+ 00:07:04,750 --> 00:07:09,620
343
+ heat capacityjoule per kilogram per kelvin
344
+
345
+ 87
346
+ 00:07:09,620 --> 00:07:15,380
347
+ velocity meter per second volume meter ู…ูƒุนุจ ุงู„ุงู†
348
+
349
+ 88
350
+ 00:07:15,380 --> 00:07:24,900
351
+ ุงู„ radiant ุงุฐุง ุนู†ุฏูŠ ุฏุงุฆุฑุฉ ู†ุต
352
+
353
+ 89
354
+ 00:07:24,900 --> 00:07:30,620
355
+ ู‚ุทุฑู‡ุง R ูˆุงุฎุฏุช
356
+
357
+ 90
358
+ 00:07:30,620 --> 00:07:32,640
359
+ arc
360
+
361
+ 91
362
+ 00:07:38,760 --> 00:07:46,200
363
+ ุงู„ุงุฑูƒ ู‡ุฐุง ุทูˆู„ู‡ ุญุณุจ ุทูˆู„ู‡ ูƒู„ู‡ ูุฑุฏุชู‡ ุทูˆู„ ุจุทู„ุน R ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:07:46,200 --> 00:07:54,500
367
+ ุงู„ุฒู…ู† ุงูŠุดุŸ ุซุชุง ุงู„ radian ู‡ุฐู‡ 2D ุซุชุง one radian so
368
+
369
+ 93
370
+ 00:07:54,500 --> 00:08:05,040
371
+ R ุนู„ู‰ R ู‡ุฐู‡ ูƒู„ู‡ุง ูƒู…ุŸ ุชู„ุช ุณุชูŠู† ูŠุนู†ูŠ ุงุชู†ูŠู† by ุตุญุŸ
372
+
373
+ 94
374
+ 00:08:05,040 --> 00:08:06,760
375
+ ุงุชู†ูŠู† by ู…ุนู†ุงุชู‡
376
+
377
+ 95
378
+ 00:08:09,530 --> 00:08:17,890
379
+ ุงู„ู…ุญูŠุท ุงุชู†ูŠู† by ุงุชู†ูŠู† by R ุนู„ู‰ ู†ุต ุงู„ู‚ุทุฑ ุจูŠุนุทูŠู†ูŠ ุฒูŠ
380
+
381
+ 96
382
+ 00:08:17,890 --> 00:08:27,630
383
+ ูƒู„ ูŠุนุฑุฉ R ุจูŠุนุทูŠู†ูŠ ุงุด ุงุชู†ูŠู† by ุงุชู†ูŠู† by ุนุดุงู† ุชุดูˆู
384
+
385
+ 97
386
+ 00:08:27,630 --> 00:08:36,440
387
+ ูˆุญุฏุฉ ุงู„ radian meter per meter ู…ุชุฑ ู„ูƒู„ ู…ุชุฑู‡ุฐุง ู‡ูˆ
388
+
389
+ 98
390
+ 00:08:36,440 --> 00:08:44,980
391
+ ุฃุณุงุณ ุงู„ radian ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช ุฏุงุฆุฑุฉ ูˆ ุฎุฏุช ู‚ูˆุณ
392
+
393
+ 99
394
+ 00:08:44,980 --> 00:08:48,340
395
+ ุทูˆู„ ุงู„ radian ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ๏ฟฝ๏ฟฝูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ูŠ one
396
+
397
+ 100
398
+ 00:08:48,340 --> 00:08:56,940
399
+ radian ู„ูˆ ุฃุฎุฏุช ุฏุงุฆุฑุฉ ู†ุต ู‚ุทุฑู‡ุง R ูˆ ุฎุฏุช ู‚ูˆุณ ุทูˆู„
400
+
401
+ 101
402
+ 00:08:56,940 --> 00:09:01,580
403
+ ุงู„ู‚ูˆุณ R ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ุฐุง ู‡ูŠ one radian
404
+
405
+ 102
406
+ 00:09:01,580 --> 00:09:05,460
407
+ ูˆุงุถุญุŸ ู…ู† ุฃูŠู† ุฃุฌุช ุงู„ radianุŸ
408
+
409
+ 103
410
+ 00:09:08,090 --> 00:09:14,530
411
+ ุงู„ุณุชุฑูŠุฏูŠุงู† ู…ุฎุชู„ูุฉ ุดูˆูŠุฉ 3D ุงู„ุณุชุฑูŠุฏูŠุงู† ุนู†ุฏูŠ ูƒูˆุฑุฉ
412
+
413
+ 104
414
+ 00:09:14,530 --> 00:09:19,750
415
+ ูƒูˆุฑุฉ ูƒูˆุฑุฉ
416
+
417
+ 105
418
+ 00:09:19,750 --> 00:09:26,770
419
+ ูˆุฃุฎุฏุช
420
+
421
+ 106
422
+ 00:09:26,770 --> 00:09:34,970
423
+ radius
424
+
425
+ 107
426
+ 00:09:34,970 --> 00:09:41,760
427
+ ุนู„ู‰ ุงู„ูƒูˆุฑุฉ ู‡ุฐู‡R ุฃุฎุฏุช
428
+
429
+ 108
430
+ 00:09:41,760 --> 00:09:46,260
431
+ ุทุงู‚ูŠุฉ ูƒุฑุงูˆูŠุฉ ู…ุณุงุญุฉ
432
+
433
+ 109
434
+ 00:09:46,260 --> 00:09:54,580
435
+ ู‚ูŠู…ุชู‡ุง Rยฒ ุทุงู‚ูŠุฉ
436
+
437
+ 110
438
+ 00:09:54,580 --> 00:09:57,760
439
+ ูƒุฑุงูˆูŠุฉ
440
+
441
+ 111
442
+ 00:09:57,760 --> 00:10:01,200
443
+ ู…ุณุงุญุชู‡ุง
444
+
445
+ 112
446
+ 00:10:01,200 --> 00:10:05,940
447
+ Rยฒ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡
448
+
449
+ 113
450
+ 00:10:10,400 --> 00:10:16,120
451
+ ุงู„ู„ูŠ ุฌุงูŠุฉ ููŠ ุฃุณุทูˆุงู†ุฉ ุณุงู…ูŠู‡ุง omega ู„ .. ู„ .. ู„ ..
452
+
453
+ 114
454
+ 00:10:16,120 --> 00:10:21,480
455
+ ููŠ ูƒุฑุฉ ูƒุฑุฉ ู†ุต ูƒุชุฑู‡ุง R ูˆ ุจุงุฎุฏ spherical area
456
+
457
+ 115
458
+ 00:10:21,480 --> 00:10:28,360
459
+ spherical hat ุงู„ area ุจุชุงุนุชู‡ุง R square ู‡ุชูƒูˆู† ุนู†ุฏูŠ
460
+
461
+ 116
462
+ 00:10:28,360 --> 00:10:32,520
463
+ ุงู„ุงุณุชุฑุฏูŠู† ุงู„ู„ูŠ
464
+
465
+ 117
466
+ 00:10:32,520 --> 00:10:37,700
467
+ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ R square ุนู„ู‰ R square ุงู„ู„ูŠ
468
+
469
+ 118
470
+ 00:10:37,700 --> 00:10:44,800
471
+ ู‡ูŠ ูˆุงุญุฏ ุงุณุชุฑุฏูŠู†ู…ุนู†ู‰ ุงุณุชุฑูŠุฏูŠุง ู„ูˆ ุฃุฎุฏุช ู…ุณุงุญุฉ ู„ุฃู†
472
+
473
+ 119
474
+ 00:10:44,800 --> 00:10:53,940
475
+ ูƒูˆุฑุฉ ูˆ ู†ุณู‚ุทุฑู‡ุง R ูˆ ุฃุฎุฏุช ุทุงู‚ูŠุฉ ูƒุงุฑุงูˆูŠุฉ ู…ุณุงุญุชู‡ุง Rยฒ
476
+
477
+ 120
478
+ 00:10:53,940 --> 00:11:00,120
479
+ ุงู„ุงุณุชุฑูŠุฏูŠุง ู‡ูŠ ุงู„ ratio ุจูŠู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ Omega Rยฒ
480
+
481
+ 121
482
+ 00:11:00,120 --> 00:11:05,260
483
+ ุนู„ู‰ Rยฒ ู‡ุฐู‡ one ุงุณุชุฑูŠุฏูŠุง ุงู„ุงู† ู…ุณุงุญุฉ ุงู„ูƒูˆุฑุฉ ูƒู„ู‡ุง ูƒู…
484
+
485
+ 122
486
+ 00:11:05,260 --> 00:11:18,040
487
+ ุณุทุญูŠุฉ ุฃุฑุจุนุฉ by Rยฒุงุฑุจุน by R square ุนู„ู‰ R square
488
+
489
+ 123
490
+ 00:11:18,040 --> 00:11:21,180
491
+ ุงุฑุจุน
492
+
493
+ 124
494
+ 00:11:21,180 --> 00:11:29,640
495
+ by ู…ุนู†ุงุชู‡ ุงู„ูƒุฑุฉ ูƒุงู…ู„ุฉ ุนุจุงุฑุฉ ุนู† ุงุฑุจุน by ุงุณุชุฑูŠุฏูŠุง
496
+
497
+ 125
498
+ 00:11:29,640 --> 00:11:32,500
499
+ ุงุฑุจุน by ุงุณุชุฑูŠุฏูŠุง
500
+
501
+ 126
502
+ 00:11:34,240 --> 00:11:38,880
503
+ ุฃุฑุจุนุฉ ุจุงูŠ ุงุณุชุฑูŠุฏูŠุง ุนุดุงู†ูƒ ุจุชุดูˆููˆุง ุงู„ ุงุณุชุฑูŠุฏูŠุง ู…ุชุฑ
504
+
505
+ 127
506
+ 00:11:38,880 --> 00:11:44,500
507
+ square per meter square ุฒู‰
508
+
509
+ 128
510
+ 00:11:44,500 --> 00:11:49,560
511
+ ู…ุง ุญูƒู‰ ุฃู†ุง ุนู†ุฏูŠ ู‡ูŠู† ุงู„ ุงุณุชุฑูŠุฏูŠุง ุนู†ุฏูŠ ู‡ุงูŠ ูƒูˆุฑุฉ ุฃุฎุฏ
512
+
513
+ 129
514
+ 00:11:49,560 --> 00:11:55,980
515
+ ู†ุตู ูƒุชุฑ R ูˆ ุฃุฎุฏ area ู‚ูŠู…ุชู‡ุง Rุงู„ุณูƒูˆูŠุฑ ูˆู‡ุฐู‡ ู‡ูŠ
516
+
517
+ 130
518
+ 00:11:55,980 --> 00:12:02,540
519
+ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡ ู‡ูŠ one stradian ุทุจุนุง ุฒูŠ ู…ุง ุดูˆูุชูˆุง ููŠ
520
+
521
+ 131
522
+ 00:12:02,540 --> 00:12:05,640
523
+ ุงู„ููŠุฏูŠูˆ ู‡ู†ูˆุฑุฌูŠูƒูˆุง ุฅูŠุงู‡ ุงู„ stradian ุจุชููŠุฏ ุจุชุญุฏุฏ
524
+
525
+ 132
526
+ 00:12:05,640 --> 00:12:09,380
527
+ ู…ุซู„ุง ููŠ ู…ุฌุงู„ ุงู„ุฑุคูŠุฉ ุงู†ุง ุนู†ุฏู‡ ุงู†ุง ู„ู…ุง ุจู‚ุนุฏ ุทุงู‚ู… ุงู†ุง
528
+
529
+ 133
530
+ 00:12:09,380 --> 00:12:14,640
531
+ ุงุฏู… ุญูƒู‰ ู„ูƒ ุจุดูˆููƒ 200 ุฏุฑุฌุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ุจุดูˆููƒ 130 ุฏุฑุฌุฉ
532
+
533
+ 134
534
+ 00:12:14,640 --> 00:12:19,220
535
+ ุญูƒู‰ ู„ูƒ ู‡ุงูŠ ุงู„ stradian ุชุจุนู‡ ู‡ุงูŠ ุงู„ stradian ุชุจุนู‡
536
+
537
+ 135
538
+ 00:12:21,570 --> 00:12:28,070
539
+ ูู‡ูŠ .. ูŠุนู†ูŠ ุฅุฒุงูŠ ู†ุญูƒูŠ .. ูŠุนู†ูŠ ู‡ูŠ .. ุฒูŠ ู…ุง ุฃุญูƒูŠ
540
+
541
+ 136
542
+ 00:12:28,070 --> 00:12:34,130
543
+ ู„ู„ุณุชุฑุฏ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ area ุนู„ู‰ Rยฒ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ Rยฒ ุนู„ู‰
544
+
545
+ 137
546
+ 00:12:34,130 --> 00:12:39,130
547
+ Rยฒ ูŠุนู†ูŠ ุชุจู‚ู‰ ูŠุนู†ูŠ one .. one steradian .. one
548
+
549
+ 138
550
+ 00:12:39,130 --> 00:12:47,430
551
+ steradian ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุงู„ multiplying factors ุณูˆุงุก
552
+
553
+ 139
554
+ 00:12:47,430 --> 00:12:54,280
555
+ ูƒุงู† ุจุงู„ุงุฑุชูุงุน ุฃูˆ ุจุงู„ุงู†ุฎูุงุถูŠุนู†ูŠ ุนุดุฑ ุนู‚ู„ ูˆุงุญุฏ ุฏูŠูƒุง
556
+
557
+ 140
558
+ 00:12:54,280 --> 00:13:00,660
559
+ ุฏูŠ ุงูŠู‡ุŸ ุนุดุฑ ุนู‚ู„ ุงุซู†ูŠู† ู‡ูƒุชูˆ ุนุดุฑ ุนู‚ู„ ุซู„ุงุซุฉ ูƒูŠู„ูˆ ุนู†ุฏูŠ
560
+
561
+ 141
562
+ 00:13:00,660 --> 00:13:06,060
563
+ kilometer ุนุดุฑ ุนู‚ู„ ุณุชุฉ ู…ูŠุฌุง ู…ูŠุฌุง ูˆุงุช ูŠุนู†ูŠ ู…ู„ูŠูˆู† ูˆุงุช
564
+
565
+ 142
566
+ 00:13:06,060 --> 00:13:14,230
567
+ ุนุดุฑ ุนู‚ู„ ุณุชุฉ ุฌูŠุฌุงุฌูŠุฌุง ูˆุงุช ู…ู„ูŠุงุฑ ูˆุงุช ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด
568
+
569
+ 143
570
+ 00:13:14,230 --> 00:13:19,110
571
+ ุชูŠุฑุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุฎู…ุณุชุงุด ุจูŠุชุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุงูƒุณุง
572
+
573
+ 144
574
+ 00:13:19,110 --> 00:13:22,130
575
+ ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ูˆุงุญุฏ ุนุดุฑูŠู† ุฒูŠุชุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุงุฑุจุน
576
+
577
+ 145
578
+ 00:13:22,130 --> 00:13:29,950
579
+ ุนุดุฑูŠู† ูŠูˆุชุง ุงู„ุงู† ููŠ ุงู„ุนูƒุณ ุจุฏูŠ ุฃู†ุฒู„ ุงู„ DC DC ู…ุชุฑ
580
+
581
+ 146
582
+ 00:13:29,950 --> 00:13:35,090
583
+ ุนุดุฑุฉ ุณุงู†ุชูŠ ุงูˆ ุนุดุฑุฉ ู…ุชุฑ ุณุงู†ุชูŠ
584
+
585
+ 147
586
+ 00:13:36,260 --> 00:13:39,860
587
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† ู…ู„ูŠ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุชู„ุงุชุฉ micro
588
+
589
+ 148
590
+ 00:13:39,860 --> 00:13:44,940
591
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุณุชุฉ nano ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุชุณุนุฉ pico ุนุดุฑุฉ
592
+
593
+ 149
594
+ 00:13:44,940 --> 00:13:49,520
595
+ ุฃุณ ู†ุงู‚ุต ุงุชู†ุงุด ูู…ุชูˆ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุฎู…ุณุชุงุด ุงุชูˆ ุนุดุฑุฉ ุฃุณ
596
+
597
+ 150
598
+ 00:13:49,520 --> 00:13:53,880
599
+ ู†ุงู‚ุต ุชู…ุงู†ุชุงุด ุฒุจุชูˆ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูŠูƒุชูˆ
600
+
601
+ 151
602
+ 00:13:53,880 --> 00:14:01,800
603
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุงุฑุจุน ูˆุนุดุฑูŠู† ุงู„ุงู†
604
+
605
+ 152
606
+ 00:14:01,800 --> 00:14:08,930
607
+ ุงู„ standard of lengthุงู„ู…ูŠุชุฑ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุทูˆู„ ุงู„ู…ุณุงุฑ
608
+
609
+ 153
610
+ 00:14:08,930 --> 00:14:16,550
611
+ ุงู„ู„ู‰ ู‡ู…ุดูŠ ุถูˆุก ูู‰ ุงู„ูุฑุงุบ ูู‰ ุฎู„ุงู„ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุชู‚ุฏุฑ
612
+
613
+ 154
614
+ 00:14:16,550 --> 00:14:21,410
615
+ ูˆุงุญุฏ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ุงุฐุง ู…ุงุดูŠ ูู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ูˆุงุญุฏ
616
+
617
+ 155
618
+ 00:14:21,410 --> 00:14:27,810
619
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ูู‰
620
+
621
+ 156
622
+ 00:14:27,810 --> 00:14:32,350
623
+ ุงู„ูุฑุงุบ ู‡ู‰ ุงู„ู…ูŠุชุฑ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ูˆุงุญุฏุฉ ุนู„ู‰ ุณุฑุนุฉ
624
+
625
+ 157
626
+ 00:14:32,350 --> 00:14:37,740
627
+ ุงู„ุถูˆุก ูุณุฑุนุฉ ุงู„ุถูˆุก ุงุดุชุทู†ุงุดู…ุชุฑ ูˆุงุถุญุŸ ู„ุฃู† ุณุฑุนุฉ ุงู„ุถูˆุก
628
+
629
+ 158
630
+ 00:14:37,740 --> 00:14:41,980
631
+ ุฃูŠุดุŸ ู…ุชุฑ per second ูˆุงุญุฏ ุนู„ู‰ ู…ุชุฑ per second ูŠุนุทูŠู†ุง
632
+
633
+ 159
634
+ 00:14:41,980 --> 00:14:48,860
635
+ ุฃูŠุดุŸ second ูู‚ูˆู„ูˆุง ู„ูˆ ุณุฑุนุฉ ุงู„ุถูˆุก second ูŠุนู†ูŠ
636
+
637
+ 160
638
+ 00:14:48,860 --> 00:14:56,050
639
+ ุงู„ุณุฑุนุฉ ููŠ ุฒู…ุงู† ุงูŠุด ุจูŠุนุทูŠู†ุงู‡ุŸ ู…ุณุงูุฑุตุญ ูู…ู†ุนุชู‡ ุงู„
640
+
641
+ 161
642
+ 00:14:56,050 --> 00:14:59,030
643
+ meter ู‡ูˆ ุงู„ู…ุณุงูุฉ ุงู„ length of the path travelled
644
+
645
+ 162
646
+ 00:14:59,030 --> 00:15:02,750
647
+ by light in vacuum during a time interval ูŠุณุงูˆุฉ
648
+
649
+ 163
650
+ 00:15:02,750 --> 00:15:09,510
651
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ุงู„ one inch ุจูŠุณุงูˆุฉ ุงุชู†ูŠู†
652
+
653
+ 164
654
+ 00:15:09,510 --> 00:15:16,770
655
+ point ุฎู…ุณุฉ ุงุฑุจุนุฉ centimeter ุงู„
656
+
657
+ 165
658
+ 00:15:16,770 --> 00:15:21,260
659
+ kilogrammass of the international prototype
660
+
661
+ 166
662
+ 00:15:21,260 --> 00:15:25,460
663
+ kilogram ููŠ ุนู†ุฏ ูƒุชู„ุฉ ู…ุญููˆุธุฉ ู…ู† ู…ุตู†ูˆุน ู…ู†
664
+
665
+ 167
666
+ 00:15:25,460 --> 00:15:28,100
667
+ ุงู„ุจู„ุงุชูŠู†ูŠูˆู… ูˆุงู„ุงุฑุงุฏูŠูˆู… ู…ุญููˆุธุฉ ููŠ ุงู„ international
668
+
669
+ 168
670
+ 00:15:28,100 --> 00:15:32,080
671
+ bureau of weights and measures ููŠ ูุฑู†ุณุง ู‡ุฐูŠ ุงู„
672
+
673
+ 169
674
+ 00:15:32,080 --> 00:15:35,660
675
+ kilogram one pound mass in seven point ุงุฑุจุน ุฎู…ุณ
676
+
677
+ 170
678
+ 00:15:35,660 --> 00:15:38,500
679
+ ุชู„ุงุชุฉ ุฎู…ุณ ุชุณุนุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุณุจุนุฉ kilogram ุงู„ second
680
+
681
+ 171
682
+ 00:15:46,920 --> 00:15:53,680
683
+ ุงู„ู€ duration of ุงู„ุงู† ู„ูˆ ุงุชุถุฑุช ุงู„ุณูŠุฒูŠูˆู… ุงู„ุณูŠุฒูŠูˆู…
684
+
685
+ 172
686
+ 00:15:53,680 --> 00:16:01,400
687
+ 133 ู…ุด ู‡ุงุฎุดู‡ ุงู„ุชูุงุตูŠู„ ู‡ุงูŠ ุงู„ู…ุถุงุฑุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ู‡ุงูŠ
688
+
689
+ 173
690
+ 00:16:01,400 --> 00:16:05,340
691
+ ุงู„ู…ุถุงุฑ ุงู„ุฃุฎุฑ ุงู„ู…ุถุงุฑ ุงู„ุฃุฎุฑ ููŠู‡ ุฅู„ูƒุชุฑูˆู† ุงู„ุฅู„ูƒุชุฑูˆู†
692
+
693
+ 174
694
+ 00:16:05,340 --> 00:16:09,060
695
+ ู‡ุฐุง ุจุงู„ุฐุงุช ุฏู‡ ุจู†ุชู‚ู„ ู‡ูŠูƒ ุจูŠู† ุงู„ู…ุถุงุฑ ู‡ุฐุง ูˆ ุงู„ู…ุถุงุฑ
696
+
697
+ 175
698
+ 00:16:09,060 --> 00:16:15,280
699
+ ู‡ุฐุง ุนู„ู‰ ุฃูŠ ุญุงุฌุฉ ุงู„ second
700
+
701
+ 176
702
+ 00:16:16,840 --> 00:16:22,640
703
+ ุงู„ู€ duration ู‡ูŠ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ู„ุชุณุนุฉ ู…ู„ูŠูˆู† ูˆ ู…ูŠุฉ ูˆ
704
+
705
+ 177
706
+ 00:16:22,640 --> 00:16:24,140
707
+ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
708
+
709
+ 178
710
+ 00:16:24,140 --> 00:16:25,260
711
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
712
+
713
+ 179
714
+ 00:16:25,260 --> 00:16:25,740
715
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
716
+
717
+ 180
718
+ 00:16:25,740 --> 00:16:26,820
719
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
720
+
721
+ 181
722
+ 00:16:26,820 --> 00:16:29,220
723
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
724
+
725
+ 182
726
+ 00:16:29,220 --> 00:16:29,220
727
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
728
+
729
+ 183
730
+ 00:16:29,220 --> 00:16:31,140
731
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู‡ุงุช ุงุชู†ูŠู† ุชู„ุงุชุฉ
732
+
733
+ 184
734
+ 00:16:31,140 --> 00:16:35,220
735
+ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุงู„ู„ูŠ ู‡ุชูˆุตู„ ุงู„ุชุนุฏุฏ
736
+
737
+ 185
738
+ 00:16:35,220 --> 00:16:38,760
739
+ ุฏูˆุฑุงุชู‡ุง ุฏูŠ ู‡ูˆ ู‡ุงุฏ ุงู„ุฒู…ุงู† ู‡ุงุฏ ุงู„ second ู‡ุงุฏ ุงู„ุชุนุฑูŠู
740
+
741
+ 186
742
+ 00:16:38,760 --> 00:16:42,200
743
+ ุงู„ second ุงู„ู„ูŠ ู‡ูˆ duration of nine million ู…ูŠุฉ
744
+
745
+ 187
746
+ 00:16:42,200 --> 00:16:44,300
747
+ ูˆุงุชู†ูŠู† ุณู†ุชูŠู† ุงู„ู ุณุชุฉ ูˆุงุญุฏุฉ ุชู„ุงุชูŠุฉ point ุณุจุนุฉ ู„ุณุจุนุฉ
748
+
749
+ 188
750
+ 00:16:44,300 --> 00:16:47,880
751
+ periods of the radiation corresponding to the
752
+
753
+ 189
754
+ 00:16:47,880 --> 00:16:50,900
755
+ transition between the two hyperfine levels of the
756
+
757
+ 190
758
+ 00:16:50,900 --> 00:16:54,540
759
+ ground state of the cesium 133 atom ู‡ุงุฏ ุฏุฑู‘ุช ุงูŠุด
760
+
761
+ 191
762
+ 00:16:54,540 --> 00:16:59,060
763
+ ุงู„ cesium ุงู„ electrode ุงู„ุฃุฎูŠุฑ ู‡ุงุฏ ุฏุจ ุฏุจ ุชุนุฏู„ู‡
764
+
765
+ 192
766
+ 00:17:00,240 --> 00:17:04,640
767
+ ุงู„ูุชุฑุฉ ุฒูŠ ู‡ุฐู‡ ู„ู„ุนุฏูŠ ุนุฏุฏ ุฏูˆุฑุงุช ู‡ุฐู‡ ู‡ูŠ ุงู„ one second
768
+
769
+ 193
770
+ 00:17:04,640 --> 00:17:11,820
771
+ ุงู„ temperature standard ุงู„ basic unit of
772
+
773
+ 194
774
+ 00:17:11,820 --> 00:17:17,460
775
+ temperature ุงู„ู„ูŠ ู‡ูŠ ุงู„ Kelvin ุงู„ู„ูŠ ุทุจุนุง ุฃูƒุชุฑ
776
+
777
+ 195
778
+ 00:17:17,460 --> 00:17:19,540
779
+ ุชุนู‚ูŠุฏุง ู…ุญุชุงุฌุฉ thermodynamics
780
+
781
+ 196
782
+ 00:17:23,250 --> 00:17:26,910
783
+ ุงู„ูƒู„ูู† ู‡ูŠ ูˆุงุญุฏ ุนู„ู‰ ู…ุชูŠู† ูˆ ุชู„ุงุช ุณุจุน point ูˆุงุญุฏ ..
784
+
785
+ 197
786
+ 00:17:26,910 --> 00:17:30,450
787
+ point one six of the thermodynamic temperature of
788
+
789
+ 198
790
+ 00:17:30,450 --> 00:17:35,690
791
+ the triple point of water triple point ู„ู„ู…ูŠู‡ ู‡ูŠ
792
+
793
+ 199
794
+ 00:17:35,690 --> 00:17:39,450
795
+ ุงู„ู†ู‚ุทุฉ ุจูŠูƒูˆู† ุนู†ุฏู‡ุง ุงู„ู…ูŠู‡ ู…ู…ูƒู† ุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ
796
+
797
+ 200
798
+ 00:17:39,450 --> 00:17:44,970
799
+ ุงู„ุณุงุฆู„ ุงูˆ ุงู„ุตู„ุจุฉ ุงูˆ ุงู„ุบุงุฒูŠุฉ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† degree of
800
+
801
+ 201
802
+ 00:17:44,970 --> 00:17:48,850
803
+ steelessness ูˆุงู„ูƒู„ูู† ุงู„ C ุจูŠุณุชูˆู‰ ุงู„ูƒู„ูู† ู…ุนู‚ุต ู…ุชูŠู†
804
+
805
+ 202
806
+ 00:17:48,850 --> 00:17:51,290
807
+ ูˆ ุชู„ุงุช ุณุจุน point ูˆุงุญุฏ ุฎู…ุณุฉ
808
+
809
+ 203
810
+ 00:17:58,070 --> 00:18:04,090
811
+ ุทูŠุจ ุงู„ุงู† ุงู„ temperature scale ุนู…ู„
812
+
813
+ 204
814
+ 00:18:04,090 --> 00:18:08,330
815
+ ุงู„ scale based ุนู„ู‰ ุงู„ absolute zero ุงู„ู„ูŠ ู‡ูˆ ู…ู‚ุต
816
+
817
+ 205
818
+ 00:18:08,330 --> 00:18:14,570
819
+ 273.0 ุฃูˆ zero Kelvin ุชู…ุฏ ุนู„ู‰ ุงู„ triple point ู„ู„
820
+
821
+ 206
822
+ 00:18:14,570 --> 00:18:19,930
823
+ argon ู„ู„ triple point of water
824
+
825
+ 207
826
+ 00:18:21,580 --> 00:18:26,360
827
+ ุงู„ ten point ุงู„ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุตุฏูŠุฑ ุงู„ temperature
828
+
829
+ 208
830
+ 00:18:26,360 --> 00:18:28,580
831
+ of equilibrium ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุบุงุฒูŠุฉ
832
+
833
+ 209
834
+ 00:18:28,580 --> 00:18:31,780
835
+ ู‡ูŠ ุงู„ triple point triple point triple point ูŠุนู†ูŠ
836
+
837
+ 210
838
+ 00:18:31,780 --> 00:18:34,580
839
+ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ู„ูŠ ุจูŠูƒูˆู† ุงู„ู…ุงุฏุฉ ุนู†ุฏูƒ ููŠ ุงู„ุญุงู„ุฉ
840
+
841
+ 211
842
+ 00:18:34,580 --> 00:18:37,520
843
+ ุงู„ุณุงุฑุฉ ุฃูˆ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุบุงุฒูŠุฉ ู‡ูŠ triple point ุงู„ ุงู„
844
+
845
+ 212
846
+ 00:18:37,520 --> 00:18:40,140
847
+ equilibrium point ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุญุงู„ุฉ
848
+
849
+ 213
850
+ 00:18:40,140 --> 00:18:42,120
851
+ ุงู„ุบุงุฒูŠุฉ ุงู„ ten ุงู„ู„ูŠ ู‡ูŠ ุจุชูƒูˆู† ุงุฑุจุนู…ุงุฆุฉ ูˆ ุชุณุนุฉ ูˆ
852
+
853
+ 214
854
+ 00:18:42,120 --> 00:18:47,720
855
+ ุงุฑุจุนูŠู† ุฏุฑุฌุฉุงู„ุฒู†ูƒ point ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุงู„ุฉ .. ุงู„ุญุงู„ุฉ ..
856
+
857
+ 215
858
+ 00:18:47,720 --> 00:18:51,480
859
+ ุงู„ .. ุงู„ .. ุงู„ุญุงู„ุฉ ุงู„ุชู†ู‚ูŠุฉ ู…ู† ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ุญุงู„ุฉ
860
+
861
+ 216
862
+ 00:18:51,480 --> 00:18:53,980
863
+ ุงู„ุณุงู„ุฉ ุงูˆ ุงู„ุนูƒุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุจุนุฉ ู…ุงุฆุฉ ูˆ ุณุจุนุฉ ุชู…ุงู†ูŠู†
864
+
865
+ 217
866
+ 00:18:53,980 --> 00:18:56,700
867
+ ุงู„ aluminium point ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุงู„ุฉ ุงู„ูุงุตู„ุฉ ู…ู†
868
+
869
+ 218
870
+ 00:18:56,700 --> 00:19:00,140
871
+ ุงู„ุญุงู„ุฉ ุงู„ุณุงู„ุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ุฃู„ู…ู†ูŠูˆู… ุงู„ู„ูŠ ู‡ูŠ
872
+
873
+ 219
874
+ 00:19:00,140 --> 00:19:04,000
875
+ ุงู„ู ูˆ ู…ุชูŠู† ูˆ ุนุดุฑูŠู† ุชู‚ุฑูŠุจุง ุงู„ silver point ู‡ูŠ ุฏุฑุฌุฉ
876
+
877
+ 220
878
+ 00:19:04,000 --> 00:19:07,120
879
+ ุญุฑุงุฑุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงู„ุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ูุถุฉ ุงู„ู
880
+
881
+ 221
882
+ 00:19:07,120 --> 00:19:11,730
883
+ ูˆ ุณุจุนุฉ ู…ุงุฆุฉ ูˆ ..ูˆุงู„ุชู„ุงุชุฉ ูˆุฎู…ุณูŠู† ุงู„ goal point
884
+
885
+ 222
886
+ 00:19:11,730 --> 00:19:14,670
887
+ ุงู„ุฏู‡ุจ ู„ุญุงู„ุฉ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุจูŠุฉ ุงู„ุญุงู„ุฉ ุงู„ุณุงูˆูŠุฉ ู„ุญุงู„ุฉ
888
+
889
+ 223
890
+ 00:19:14,670 --> 00:19:17,470
891
+ ุงู„ุตู„ุจุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู ุชุณุนูŠุฉ ุณูˆูŠุฉ ุงุฑุจุนูŠู† point ุฎู…ุณุฉ
892
+
893
+ 224
894
+ 00:19:17,470 --> 00:19:23,430
895
+ ุงุชู†ูŠู† ุจู†ุนู…ู„ูˆุง ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ scale
896
+
897
+ 225
898
+ 00:19:23,430 --> 00:19:27,690
899
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุจุชูุงุตูŠู„ ู‡ุฐู‡ ู„ู…ุง ู†ูŠุฌูŠ ู„ู‚ูŠุงุณุงุช ุฏุฑุฌุฉ
900
+
901
+ 226
902
+ 00:19:27,690 --> 00:19:32,210
903
+ ุงู„ุญุฑุงุฑุฉ ุทูŠุจ
904
+
905
+ 227
906
+ 00:19:36,070 --> 00:19:39,670
907
+ ุงู„ุงู† ุงู„ุฑุงูŠู† ูƒุงู† ุจุงู„ุณูˆุงุก one point one point eight
908
+
909
+ 228
910
+ 00:19:39,670 --> 00:19:45,590
911
+ Kelvin ูˆุงู„ูุฑู† ู‡ุงุช ุจุงู„ุณูˆุงุก ุงู„ุงุฑ ุจุงูŠู†ุณ ุงุฑุจุนูŠู† ูˆ ุชุณุนุฉ
912
+
913
+ 229
914
+ 00:19:45,590 --> 00:19:50,190
915
+ ูˆ ุฎู…ุณูŠู† point ุณุชุฉ ุณุจุนุฉ ุทุจุนุง ุงู†ุง ุจุณุชุฎุฏู… ุจู…ุญุชุงุฌ
916
+
917
+ 230
918
+ 00:19:50,190 --> 00:19:53,630
919
+ ู„ุฃุฌู‡ุฒุฉ ู…ุนูŠุงุฑูŠุฉ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ููŠ ุนู†ุฏู‡ุง ุงู„ู…ุญูŠุท ู…ุนู„ู†
920
+
921
+ 231
922
+ 00:19:53,630 --> 00:19:57,830
923
+ ุงู„ standardizedุจุงูŠุฑูˆู…ูŠุชุฑ ุนู†ุฏ ุงู„ standardized
924
+
925
+ 232
926
+ 00:19:57,830 --> 00:20:02,070
927
+ resistance thermometer ูˆ ุงู„ standardized gas
928
+
929
+ 233
930
+ 00:20:02,070 --> 00:20:05,630
931
+ thermometer ู‡ุฏูˆู„ ู‡ู†ู…ุฑ ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ ุงู„ chapter
932
+
933
+ 234
934
+ 00:20:05,630 --> 00:20:13,050
935
+ ุงู„ุญุฑุงุฑุฉ ุงู„ุงู† ุงู„ system of units ููŠ ุนู†ุฏ ุงู„ูˆุญุฏุงุช
936
+
937
+ 235
938
+ 00:20:13,050 --> 00:20:18,370
939
+ ุงู„ู„ูŠ ู‡ูŠ ุญุณุจ ุนู†ุฏ ุงู„ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ SI ุงู„ SI unit ุงู„
940
+
941
+ 236
942
+ 00:20:18,370 --> 00:20:24,910
943
+ CGS unit systemุนู†ุฏูŠ ุงู„ English engineering unit ุงู„
944
+
945
+ 237
946
+ 00:20:24,910 --> 00:20:29,410
947
+ absolute English ูˆ ุงู„ุชูƒู†ูŠูƒุงู„ English ููŠ ุงู„ ASI
948
+
949
+ 238
950
+ 00:20:29,410 --> 00:20:34,010
951
+ ุนู†ุฏูŠ ูˆุญุฏุงุช ุงู„ mass ูˆ ุงู„ length ูˆ ุงู„ time ุงู„ length
952
+
953
+ 239
954
+ 00:20:34,010 --> 00:20:40,330
955
+ meter second ุงู„ times second ุงู„ mass kilogram ุงู„
956
+
957
+ 240
958
+ 00:20:40,330 --> 00:20:46,270
959
+ cgs centimeter second gram
960
+
961
+ 241
962
+ 00:20:48,160 --> 00:20:54,700
963
+ ุงู„ English engineering ู‚ุฏู… second pound mass ุตุงุฑ
964
+
965
+ 242
966
+ 00:20:54,700 --> 00:21:00,340
967
+ ุนู†ุฏู‰ ูˆุงุญุฏุฉ ุฑุงุจุนุฉ pound force ุงู„ absolute English
968
+
969
+ 243
970
+ 00:21:00,340 --> 00:21:09,740
971
+ ู‚ุฏู… ุซุงู†ูŠุฉ pound mass poundel ุงู„ technical English
972
+
973
+ 244
974
+ 00:21:09,740 --> 00:21:19,090
975
+ ู‚ุฏู… ุซุงู†ูŠุฉ slug pound force pound forceู†ุฑุฌุน ู„ู‡ู†ุง
976
+
977
+ 245
978
+ 00:21:19,090 --> 00:21:28,130
979
+ ู„ู†ูŠูˆุชู† ู„ูˆ ุนู†ุฏ ุฌุณู… ุง
980
+
981
+ 246
982
+ 00:21:28,130 --> 00:21:35,710
983
+ apply a force F ูƒู…ูŠุฉ ูˆุงุญุฏ ู†ูŠูˆุชู† ู„ู†ูŠูˆุชู† ู‡ูŠ ุงู„ force
984
+
985
+ 247
986
+ 00:21:35,710 --> 00:21:38,490
987
+ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุงุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one kilogram
988
+
989
+ 248
990
+ 00:21:40,640 --> 00:21:44,420
991
+ ุจุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ per second ุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ
992
+
993
+ 249
994
+ 00:21:44,420 --> 00:21:49,780
995
+ per second ู‡ุฐุง ุงู„ูˆุงุญุฏ ู†ูŠูˆุชู† ุนุดุงู† ู‡ูŠูƒ ู‡ุชูƒูˆู† ุงู„ูˆุงุญุฏ
996
+
997
+ 250
998
+ 00:21:49,780 --> 00:21:55,980
999
+ ู†ูŠูˆุชู† ุจุงู„ุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ mass kilogram ููŠ ุงู„
1000
+
1001
+ 251
1002
+ 00:21:55,980 --> 00:21:59,560
1003
+ acceleration meter ุนู„ู‰ second square ู…ุนู†ุงุชู‡
1004
+
1005
+ 252
1006
+ 00:21:59,560 --> 00:22:01,780
1007
+ ุงู„ู†ูŠูˆุชู† ู‡ูˆ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู…ุฉ ุนุดุงู† ุฃุญุฑู‚ ุฌุณู…ูŠ ุฃุฎูˆุชูŠ
1008
+
1009
+ 253
1010
+ 00:22:01,780 --> 00:22:05,640
1011
+ to one kilogram ุจุฃูƒุณู„ุงุฑูŠุดู† meter per second square
1012
+
1013
+ 254
1014
+ 00:22:05,640 --> 00:22:08,120
1015
+ ุงู„ุฏูŠู†
1016
+
1017
+ 255
1018
+ 00:22:15,390 --> 00:22:26,730
1019
+ ุงู„ุฏูŠู† ุงู†ุฏูŠุฌุฑุงู… ููŠ ุณุงู†ุชู…ุชุฑ per second square ุงู„ุฏูŠู†
1020
+
1021
+ 256
1022
+ 00:22:26,730 --> 00:22:30,970
1023
+ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุงุญุฑู‚ ุฌุณู… ูƒุชู„ุฉ ุงู„ gram ุจ
1024
+
1025
+ 257
1026
+ 00:22:30,970 --> 00:22:34,370
1027
+ acceleration ู‚ูŠู…ุชู‡ุง ูˆุงุญุฏ ุณุงู†ุชู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน
1028
+
1029
+ 258
1030
+ 00:22:34,370 --> 00:22:40,050
1031
+ ุญุฏูŠุซ ุงู„ุฏูŠู† ุงู„ pound force ููŠ ุงู„ู†ุธุงู… ู‡ุฐุง pound
1032
+
1033
+ 259
1034
+ 00:22:40,050 --> 00:22:53,440
1035
+ forceูˆุงุญุฏ pound force ุจุณุงูˆูŠ ูˆุงุญุฏ
1036
+
1037
+ 260
1038
+ 00:22:53,440 --> 00:23:00,740
1039
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
1040
+
1041
+ 261
1042
+ 00:23:02,040 --> 00:23:05,880
1043
+ ุนู„ู‰ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุฉ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ
1044
+
1045
+ 262
1046
+ 00:23:05,880 --> 00:23:10,600
1047
+ ุนุดุงู† ุงุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one pound mass ุจ acceleration
1048
+
1049
+ 263
1050
+ 00:23:10,600 --> 00:23:13,240
1051
+ ูƒู…ูŠุฉ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ ุซุงู†ูŠุฉ
1052
+
1053
+ 264
1054
+ 00:23:13,240 --> 00:23:21,920
1055
+ ุชุฑุจูŠุฉ ุงู„ acceleration of gravity ุงู„ poundal ุงู„
1056
+
1057
+ 265
1058
+ 00:23:21,920 --> 00:23:22,480
1059
+ poundal
1060
+
1061
+ 266
1062
+ 00:23:27,360 --> 00:23:35,720
1063
+ ุจุณุงูˆูŠ ูˆุงุญุฏ pound mass ููŠ ูˆุงุญุฏ foot ุนู„ู‰ second
1064
+
1065
+ 267
1066
+ 00:23:35,720 --> 00:23:39,200
1067
+ square pound ุงู„ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ุบูŠุฑ ุงู„ pound force ู‡ูŠ
1068
+
1069
+ 268
1070
+ 00:23:39,200 --> 00:23:46,100
1071
+ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุงุญุฑูƒ one pound ูˆุฒู† ูƒุชู„ุชู‡ ุงูˆ ุฌุณู…
1072
+
1073
+ 269
1074
+ 00:23:46,100 --> 00:23:49,760
1075
+ ูƒุชู„ุชู‡ one pound mass ุจ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1076
+
1077
+ 270
1078
+ 00:23:49,760 --> 00:23:57,970
1079
+ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุน ุงู„ุงุฎุฑ ูˆุงุญุฏุฉ ุงู„ poundุงู„ pound force
1080
+
1081
+ 271
1082
+ 00:23:57,970 --> 00:24:01,450
1083
+ ุจุงู„ุณุงูˆูŠุฉ
1084
+
1085
+ 272
1086
+ 00:24:01,450 --> 00:24:09,250
1087
+ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ
1088
+
1089
+ 273
1090
+ 00:24:09,250 --> 00:24:16,270
1091
+ ู‚ุฏู… ุงู„ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุงุญุฑูƒ
1092
+
1093
+ 274
1094
+ 00:24:16,270 --> 00:24:22,670
1095
+ ุฌุณู… ูƒุชู„ุชู‡ one slug ุจ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1096
+
1097
+ 275
1098
+ 00:24:22,670 --> 00:24:28,360
1099
+ ุงู„ุซุงู†ู‰ ุชุฑุจูŠุนู…ุนู†ุงุชู‡ ููŠ relation ู„ูˆ ุฃุฎุฏู†ุง ู‡ุฐู‡ ู„ูˆ
1100
+
1101
+ 276
1102
+ 00:24:28,360 --> 00:24:40,360
1103
+ ุณูˆู†ุง ู‡ุฐู‡ ุจู‡ุฐู‡ ู‡ูƒูˆู† ุนู†ุฏูŠ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1104
+
1105
+ 277
1106
+ 00:24:40,360 --> 00:24:48,680
1107
+ ุซุงู†ูŠุฉ ุชุฑุจูŠุฉ ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ pound mass ููŠ ุงุชู†ูŠู†
1108
+
1109
+ 278
1110
+ 00:24:48,680 --> 00:24:55,620
1111
+ ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ second ุชุฑุจูŠุฉู…ุนู†ุงุชู‡
1112
+
1113
+ 279
1114
+ 00:24:55,620 --> 00:25:01,780
1115
+ ุงู„ pound mass ู‡ูŠุฑูˆุญ ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ุตุญ ุงู„ pound mass
1116
+
1117
+ 280
1118
+ 00:25:01,780 --> 00:25:08,560
1119
+ ุณูˆู‰ ูˆุงุญุฏ slug ุนู„ู‰
1120
+
1121
+ 281
1122
+ 00:25:08,560 --> 00:25:11,360
1123
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุน ู…ุนู†ุงุชู‡ ุงู„ slug
1124
+
1125
+ 282
1126
+ 00:25:11,360 --> 00:25:13,520
1127
+ ุจูŠุณุชูˆู‰ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุน pound mass
1128
+
1129
+ 283
1130
+ 00:25:23,070 --> 00:25:27,610
1131
+ ุงู„ุฃูƒุซุฑ ุดูŠูˆุนุงู† .. ุงู„ุฃูƒุชุฑ ุดูŠูˆุนุงู† ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ูˆู‡ุฐุง
1132
+
1133
+ 284
1134
+ 00:25:33,920 --> 00:25:38,380
1135
+ ููŠ ูุชุฑุฉ ู‚ุฏูŠู…ุฉ ูƒุงู†ุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ .. ุจุณ ุจุฑูŠุทุงู†ูŠุง
1136
+
1137
+ 285
1138
+ 00:25:38,380 --> 00:25:40,920
1139
+ ุงู„ุญุงูƒู…ุฉ ุนุงู…ู„ุฉ ุงู„ุฃู†ุธู…ุฉ ู…ุงูƒุงู†ุด ุฏูˆู„ ุชุงู†ูŠุฉุŒ ู…ุงูƒุงู†ุด
1140
+
1141
+ 286
1142
+ 00:25:40,920 --> 00:25:45,480
1143
+ ุนู†ุฏูƒ ุงู„ metric system ุฃู„ู…ุงู†ูŠุง ู…ุงูƒุงู†ุด ู…ูˆุฌูˆุฏุฉุŒ ูุธู‡ุฑุช
1144
+
1145
+ 287
1146
+ 00:25:45,480 --> 00:25:47,640
1147
+ ุงู„ standards ูˆ ุจุนุฏูŠู† ุจุฏูˆุง ูŠุบูŠุฑูˆุงุŒ ููŠ ุงู„ุจุฏุงูŠุฉ
1148
+
1149
+ 288
1150
+ 00:25:47,640 --> 00:25:50,840
1151
+ ู…ุงูƒุงู†ุด ููŠู‡ ุชูˆุญูŠุฏุŒ ูŠุนู†ูŠ ูƒุงู† ุฏูˆู„ ู…ู†ูุตู„ุฉ ูƒุงู…ู„
1152
+
1153
+ 289
1154
+ 00:25:50,840 --> 00:25:54,760
1155
+ standard ุฃูˆ ุฃูƒุชุฑ ู…ู† standardุŒ ุจุนุฏูŠู† ุงู„ุนุงู„ู… ูƒุจุฑ ุตุงุฑ
1156
+
1157
+ 290
1158
+ 00:25:54,760 --> 00:25:58,160
1159
+ ุฅู† ุงู„ู…ุทุงุฑุงุช ูˆ ุญุฑูŠุฉ ุงู„ุชู†ู‚ู„ ูˆ ุตุงุฑ ุงู„ุนุงู„ู… ูŠุฒุฑู‚ูˆุง
1160
+
1161
+ 291
1162
+ 00:25:58,160 --> 00:26:03,160
1163
+ ุงู„ู…ุงู„ู‡ูุตุงุฑ ุงู„ู†ุงุณ ๏ฟฝ๏ฟฝุชุนุงู…ู„ ู…ุน ุจุนุถ ุจุดูƒู„ ุงุญุชูƒุงูƒ ู…ุจุงุดุฑ ูˆ
1164
+
1165
+ 292
1166
+ 00:26:03,160 --> 00:26:08,200
1167
+ ุจุทู„ุช ุงู„ุตู†ุงุนุงุช ู…ุญุชูƒุฑุฉ ุจุฏูˆู„ุฉ ู…ุนูŠู†ุฉ ูุตุงุฑ ุงู„ุฃู„ู…ุงู†
1168
+
1169
+ 293
1170
+ 00:26:08,200 --> 00:26:10,720
1171
+ ูŠุตู†ุนูˆุงุŒ ุงู„ูŠุงุจุงู†ูŠูŠู† ูŠุตู†ุนูˆุงุŒ ุตุงุฑ ุงู„ุฃู„ู…ุงู† ูŠุนู…ู„ูˆุง
1172
+
1173
+ 294
1174
+ 00:26:10,720 --> 00:26:13,120
1175
+ standard ู„ุญุงู„ู‡ุŒ ุงู„ูŠุงุจุงู† ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard
1176
+
1177
+ 295
1178
+ 00:26:13,120 --> 00:26:15,440
1179
+ ู„ุญุงู„ู‡ุŒ ุงู„ุฃู…ุฑูŠูƒูŠ ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard ู„ุญุงู„ู‡ ูˆ
1180
+
1181
+ 296
1182
+ 00:26:15,440 --> 00:26:17,860
1183
+ ุงุฌุชู…ุงุน ู„ู‡ ู…ุดุงูƒู„ุŒ ู…ุด ุนุงุฑููˆุง ูŠุชุนุงู…ู„ูˆุง ู…ุน ุจุนุถุŒ ูˆ
1184
+
1185
+ 297
1186
+ 00:26:17,860 --> 00:26:21,040
1187
+ ุจุงู„ุชุงู„ูŠ ุฌู„ุณูˆุง ู…ุน ุจุนุถ ูˆ ุญูƒูˆุง ุฅู†ู†ุง ู†ูˆุญุฏุŒ ูŠุนู†ูŠ ุฃู†ุช ..
1188
+
1189
+ 298
1190
+ 00:26:21,040 --> 00:26:23,920
1191
+ ุฃู†ุช ุนู…ู„ุช standardุŒ ู…ุงุดูŠ ูˆ ุฃู†ุง ุนู…ู„ุช standardุŒ ุจุณ ุฏู‡
1192
+
1193
+ 299
1194
+ 00:26:23,920 --> 00:26:29,800
1195
+ ู†ุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ ุจูŠู† ู‡ุฐู‡ ุงู„ standardsุทุจุนุง ุญุงู„ูŠุง ุงู„
1196
+
1197
+ 300
1198
+ 00:26:29,800 --> 00:26:34,740
1199
+ .. ุงู„ุฐูŠ ูŠุณูˆุฏ ูˆ ู‡ูŠู†ุชู‡ูŠ ุนู„ู‰ ุงู„ู…ู‚ุงู…ุฉ ุงู„ุจุนูŠุฏ ู‡ูŠู†ุชู‡ูŠ
1200
+
1201
+ 301
1202
+ 00:26:34,740 --> 00:26:37,460
1203
+ ุงู„ู†ุธุงู… ุงู„ุฅู†ุฌู„ูŠุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ASI system ุงู„ metric
1204
+
1205
+ 302
1206
+ 00:26:37,460 --> 00:26:42,960
1207
+ ูŠุนู†ูŠ ู…ุซู„ุง ููŠ ุฃู…ุฑูŠูƒุง ุทู„ุนูˆุง ู‚ุฑุงุฑ ุณู†ุฉ ุงู„ุชุณุนูŠู† ูˆ ูˆุนุฏูˆุง
1208
+
1209
+ 303
1210
+ 00:26:42,960 --> 00:26:47,780
1211
+ ูุชุฑุฉ ุณู†ุฉ ูˆ ุฎู…ุณ ุณู†ูˆุงุช ุงู†ู‡ ููŠ ุงู„ุณู†ุฉ ุงู„ุฎู…ุณูŠู† ูŠู†ุชู‡ูŠ
1212
+
1213
+ 304
1214
+ 00:26:47,780 --> 00:26:53,720
1215
+ ุงู„ุชุนุงู…ู„ ุจุงู„ English systemุทุจุนุง ู…ุงู‚ุฏุฑูˆุด ุชู‚ุฑูŠุจุง
1216
+
1217
+ 305
1218
+ 00:26:53,720 --> 00:26:57,400
1219
+ ุฃูุฒูˆู…ูŠ ููŠ ุงู„ู…ูŠุงู‡ ู„ุฃู† ุงู„ู†ุงุณ ุซู‚ุงูุชู‡ู… ุจุฑู…ุฌ ุนู„ู‰ ู†ุธุงู…
1220
+
1221
+ 306
1222
+ 00:26:57,400 --> 00:27:02,740
1223
+ ุงู„ English system ูŠุนู†ูŠ ุจูŠุญูƒูŠู„ูƒ .. ุงู†ุช ุจุชูู‡ู… ุงุฐุง
1224
+
1225
+ 307
1226
+ 00:27:02,740 --> 00:27:06,560
1227
+ ุชุญูƒูŠ ุฎู…ุณุฉ ุตู†ุทุงูŠ ุฎู…ุณุฉ ุตู†ุทูŠ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ a couple of
1228
+
1229
+ 308
1230
+ 00:27:06,560 --> 00:27:12,160
1231
+ two inches ุจูŠูู‡ู… ุจุฎู‡ ู…ุฑุงูƒุจ ุนู„ู‰ ุงู„ุงู†ุดุงุช ูŠุนู†ูŠ ุจุชุญูƒูŠ
1232
+
1233
+ 309
1234
+ 00:27:12,160 --> 00:27:15,200
1235
+ ูˆุงู„ู„ู‡ ุงู„ุณุฑุนุฉ ู…ุงุดูŠุฉ ุจู‚ู‰ ู…ุงุฆุฉ ูƒูŠู„ูˆู…ุชุฑ ุงู„ุณุงุนุฉ ุจูŠุญูƒูŠู„ูƒ
1236
+
1237
+ 310
1238
+ 00:27:15,200 --> 00:27:21,750
1239
+ ุงู„ุณุงุนุฉ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุณุชูŠู† mile per hourู…ุฎู‡ ู„ุณู‡ ุฑุงูƒุน
1240
+
1241
+ 311
1242
+ 00:27:21,750 --> 00:27:25,310
1243
+ ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุทุจุนุง ุจุชุชุบูŠุฑ ุฃุฌูŠุงู„ ูŠุนู†ูŠ
1244
+
1245
+ 312
1246
+ 00:27:25,310 --> 00:27:29,010
1247
+ ุจุชูˆู‚ุน .. ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุฃูƒูŠุฏ ุงู„ู†ุธุงู… ุงู„ ู…ุชุฑ ู‡ูŠุณูˆุฏ
1248
+
1249
+ 313
1250
+ 00:27:29,010 --> 00:27:38,590
1251
+ ู„ุฃู†ู‡ ุฃุณู‡ู„ ูƒุชูŠุฑ ููŠ ุงู„ุชุนุงู…ู„ ู†ุดูˆู
1252
+
1253
+ 314
1254
+ 00:27:38,590 --> 00:27:39,110
1255
+ ู…ุซุงู„
1256
+
1257
+ 315
1258
+ 00:27:47,080 --> 00:27:50,160
1259
+ determine the conversion factor between pound
1260
+
1261
+ 316
1262
+ 00:27:50,160 --> 00:28:02,680
1263
+ force and newton ุงู„ pound
1264
+
1265
+ 317
1266
+ 00:28:02,680 --> 00:28:10,020
1267
+ force ุงูŠุด ุจูŠุณุชูˆูŠ ูˆุงุญุฏ
1268
+
1269
+ 318
1270
+ 00:28:10,020 --> 00:28:15,940
1271
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
1272
+
1273
+ 319
1274
+ 00:28:16,930 --> 00:28:20,370
1275
+ ุนู„ู‰ ุงู„ second ุชุฑุจูŠุน ุทูŠุจ ุงู„ pound ู…ุงุดูŠ ุงุญู†ุง ู„ู…ุง
1276
+
1277
+ 320
1278
+ 00:28:20,370 --> 00:28:26,110
1279
+ ุงุนุฑูู†ุง ุงู„ standard ุชุนู…ู„ ู…ุงุดูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ ุงูŠู‡ one
1280
+
1281
+ 321
1282
+ 00:28:26,110 --> 00:28:31,050
1283
+ pound ู…ุงุดูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ
1284
+
1285
+ 322
1286
+ 00:28:31,050 --> 00:28:40,210
1287
+ ุจุงู„ุณุงูˆูŠุฉ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ ุฎู…ุณุฉ ุชุณุนุฉ ุงุชู†ูŠู†
1288
+
1289
+ 323
1290
+ 00:28:40,210 --> 00:28:43,610
1291
+ ุชู„ุงุชุฉ ุณุจุนุฉ
1292
+
1293
+ 324
1294
+ 00:28:47,880 --> 00:28:59,200
1295
+ ูƒู„ุฌุฑุงู… ุตุญ ููŠู‡ ุงุชู†ูŠู† ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ุงู„ู‚ุฏู…
1296
+
1297
+ 325
1298
+ 00:28:59,200 --> 00:29:04,980
1299
+ ูƒู… ู…ุชุฑ ุงู„ู‚ุฏู… ุงู„
1300
+
1301
+ 326
1302
+ 00:29:04,980 --> 00:29:12,220
1303
+ ู…ุชุฑ one meter ุจุงู„ุณุงูˆูŠุฉ
1304
+
1305
+ 327
1306
+ 00:29:12,220 --> 00:29:15,760
1307
+ ุงูˆ one ู‚ุฏู… one foot
1308
+
1309
+ 328
1310
+ 00:29:19,170 --> 00:29:26,830
1311
+ ุจุณุงูˆุฉ point ุชู„ุงุชุฉ zero four seven four eight ู…ุชุฑ
1312
+
1313
+ 329
1314
+ 00:29:26,830 --> 00:29:35,010
1315
+ ุตุญ ูŠุนู†ูŠ ุนู†ุฏูŠ ู‚ุฏู… ู‡ู†ุง ููŠ point
1316
+
1317
+ 330
1318
+ 00:29:35,010 --> 00:29:40,630
1319
+ ุชู„ุงุชุฉ zero four ุชู…ุงู†ูŠุฉ ู…ุชุฑ per second square ูŠุนู†ูŠ
1320
+
1321
+ 331
1322
+ 00:29:40,630 --> 00:29:46,010
1323
+ ุญูŠุซ ุณุงูˆูŠุฉ ุงุถุฑุจู‡ point ุงุฑุจุน ุฎู…ุณ ุชู„ุงุชุฉ ุงุถุฑุจ ุงู„ุฑู‚ู…
1324
+
1325
+ 332
1326
+ 00:29:46,010 --> 00:29:49,950
1327
+ ู‡ุฐุง32.17x0.3048
1328
+
1329
+ 333
1330
+ 00:30:16,160 --> 00:30:23,800
1331
+ ุงุฑุจุนุฉ ุจูˆู†ุท ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุณุจุนุฉ ูƒูŠู„ูˆุฌุฑุงู… ููŠ ู…ุชุฑ ุนู„ู‰
1332
+
1333
+ 334
1334
+ 00:30:23,800 --> 00:30:29,760
1335
+ second square ู‡ุฐุง ุงูŠุด ู‡ุฐุง ู†ูŠูˆุชู† ุงุฑุจุนุฉ ุจูˆู†ุท ุงุฑุจุนุฉ
1336
+
1337
+ 335
1338
+ 00:30:29,760 --> 00:30:35,880
1339
+ ุงุฑุจุนุฉ ุณุจุนุฉ ู†ูŠูˆุชู† ูุงุญู†ุง ู†ุฌูŠุจ ุชุญูˆูŠู„ ุจูŠู† pound force
1340
+
1341
+ 336
1342
+ 00:30:35,880 --> 00:30:40,080
1343
+ ูˆู†ูŠูˆุชู† ุดูˆู example ุชุงู†ูŠ
1344
+
1345
+ 337
1346
+ 00:30:47,510 --> 00:30:55,730
1347
+ water of density ฯ ุนู†ุฏ ู…ูŠุฉ ูƒุซุงูุฉ ุฑูˆ
1348
+
1349
+ 338
1350
+ 00:30:55,730 --> 00:31:04,770
1351
+ and dynamic viscosity ู…ูŠูˆ flows
1352
+
1353
+ 339
1354
+ 00:31:04,770 --> 00:31:08,930
1355
+ with velocity v through a pipe ู…ุงุดูŠ ููŠ ุงู†ุจูˆุจ ุจุณุฑุนุฉ
1356
+
1357
+ 340
1358
+ 00:31:08,930 --> 00:31:09,570
1359
+ ู…ุนูŠู†ุฉ
1360
+
1361
+ 341
1362
+ 00:31:14,200 --> 00:31:19,340
1363
+ of diameter ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ pipe ู„ู‡ุง ู‚ุทุฑ ู…ุนูŠู† ู‡ู†ูƒุชุจ
1364
+
1365
+ 342
1366
+ 00:31:19,340 --> 00:31:23,720
1367
+ ุจุนุฏ ุดูˆูŠุฉ calculate Reynolds number ู‡ุชู‚ุฏุฑุณู‡ ููŠ
1368
+
1369
+ 343
1370
+ 00:31:23,720 --> 00:31:29,080
1371
+ fluid mechanics from the data supplied using the
1372
+
1373
+ 344
1374
+ 00:31:29,080 --> 00:31:35,660
1375
+ English engineering system of units ูˆู…ุงุฑ ู‡ุณุชุฎุฏู… ุงู„
1376
+
1377
+ 345
1378
+ 00:31:35,660 --> 00:31:46,570
1379
+ SI unitsุทุจุนุง ุงู„ุฑู…ุฒ ู„ู†ุธุฑ ู…ุนุฑู ุฑูˆ VD
1380
+
1381
+ 346
1382
+ 00:31:46,570 --> 00:31:56,250
1383
+ ุนู„ู‰ ู…ูŠูˆ ุฏูŠ ุฏูŠ
1384
+
1385
+ 347
1386
+ 00:31:56,250 --> 00:31:57,370
1387
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1388
+
1389
+ 348
1390
+ 00:31:57,370 --> 00:31:57,370
1391
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1392
+
1393
+ 349
1394
+ 00:31:57,370 --> 00:31:57,430
1395
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1396
+
1397
+ 350
1398
+ 00:31:57,430 --> 00:31:58,570
1399
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1400
+
1401
+ 351
1402
+ 00:31:58,570 --> 00:31:58,570
1403
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1404
+
1405
+ 352
1406
+ 00:31:58,570 --> 00:31:58,590
1407
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1408
+
1409
+ 353
1410
+ 00:32:10,130 --> 00:32:16,330
1411
+ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ู…ูƒุนุจ ุงู„ dynamic viscosity
1412
+
1413
+ 354
1414
+ 00:32:16,330 --> 00:32:22,510
1415
+ ุงู„ู„ูŠ ุฒูˆุฌุฉ ู„ู„ู…ูŠู‡ ููŠ ุงู„ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉ one point two
1416
+
1417
+ 355
1418
+ 00:32:22,510 --> 00:32:33,870
1419
+ meter per second ุจุงู„ English unit ุงู‡
1420
+
1421
+ 356
1422
+ 00:32:33,870 --> 00:32:34,850
1423
+ ู‡ุฐู‡ ุงู„ุณุฑุนุฉ ุตุญูŠุญ
1424
+
1425
+ 357
1426
+ 00:32:37,800 --> 00:32:42,160
1427
+ ู…ุนุงุทู ุงู„ุณุฑุนุฉ ูˆุงุญุฏ point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per
1428
+
1429
+ 358
1430
+ 00:32:42,160 --> 00:32:50,000
1431
+ second ู‡ูŠ ุงุฑุจุนุฉ ู‚ุฏู… per second ุงู„ dynamic
1432
+
1433
+ 359
1434
+ 00:32:50,000 --> 00:32:53,720
1435
+ viscosity ููŠ
1436
+
1437
+ 360
1438
+ 00:32:53,720 --> 00:32:58,100
1439
+ ุงู„ .. ููŠ ุงู„ metric ูŠุนู†ูŠ ุงุชู†ูŠู† ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ
1440
+
1441
+ 361
1442
+ 00:32:58,100 --> 00:33:03,280
1443
+ ุนุดุฑ ุงู‚ุต ู†ุงู‚ุต ุงุฑุจุนุฉ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ุนุดุฑ ุงู‚ุต
1444
+
1445
+ 362
1446
+ 00:33:03,280 --> 00:33:08,640
1447
+ ู†ุงู‚ุต ุงุฑุจุนุฉุงู„ู†ูŠูˆุชู† ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ square ุงู„ู†ูŠูˆุชู†
1448
+
1449
+ 363
1450
+ 00:33:08,640 --> 00:33:14,100
1451
+ ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ square ูˆููŠ ุงู„ English unit ุงู„ู„ูŠ ู‡ูŠ
1452
+
1453
+ 364
1454
+ 00:33:14,100 --> 00:33:22,740
1455
+ ุงุชู†ูŠู† point ุงูˆ ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุฃุณ ุณุงู„ุจ ุฎู…ุณุฉ bound
1456
+
1457
+ 365
1458
+ 00:33:22,740 --> 00:33:31,400
1459
+ force second ุนู„ู‰ ู‚ุฏู… ู…ุฑุจุน ูˆุงู„ู‚ุทุฑ ุงู„ู…ุนุทู†ูŠ ู‡ูˆ point
1460
+
1461
+ 366
1462
+ 00:33:31,400 --> 00:33:40,050
1463
+ ุงุชู†ูŠู† ุณูุฑ ุชู„ุงุชุฉ ู…ุชุฑุชู…ุงู†ูŠุฉ ุงู†ุด ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด
1464
+
1465
+ 367
1466
+ 00:33:40,050 --> 00:33:44,870
1467
+ ุจุญูˆุงู„ูŠ ุงู„ู‚ุฏู… ุตุญ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ุจุงู„ู‚ุฏู… ุงู†ุง ุนุงุฑู
1468
+
1469
+ 368
1470
+ 00:33:44,870 --> 00:33:51,770
1471
+ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ุจุงู„ู‚ุฏู… ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ู‚ุฏู… ู‡ุฐู‡
1472
+
1473
+ 369
1474
+ 00:33:51,770 --> 00:34:00,130
1475
+ ุงู†ุด ู„ูˆ ุฏูŠ ุณุงุฎู† ูˆุญุฏุงุช ู…ุชุฑูŠุฉ ุฑูˆ ู‡ุงูŠ ุฑูˆ ุชุณุนู…ูŠุฉ ุจุฏุฃุช
1476
+
1477
+ 370
1478
+ 00:34:00,130 --> 00:34:04,590
1479
+ ุงู„ูˆุญุฏุฉ ุชุณุนู…ูŠุฉ ูˆ ุชู…ุงู†ูŠุฉ ูˆุชุณุนูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ
1480
+
1481
+ 371
1482
+ 00:34:04,590 --> 00:34:12,630
1483
+ ู…ูƒุนุจููŠ V ูˆุงุญุฏ point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per second
1484
+
1485
+ 372
1486
+ 00:34:12,630 --> 00:34:24,210
1487
+ ููŠ ุงู„ู‚ุทุฑ D point ุงุชู†ูŠู† ุณูุฑ ุชู„ุงุชุฉ ู…ุชุฑ ุนู„ู‰ ุงู„ Mew
1488
+
1489
+ 373
1490
+ 00:34:24,210 --> 00:34:34,370
1491
+ ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ูุนุดุฑุฉ ุณุงู„ุจ ุงุฑุจุน in
1492
+
1493
+ 374
1494
+ 00:34:34,370 --> 00:34:38,810
1495
+ Newtonุฎู„ู‘ูŠู†ูŠ ุฎุงุทุฉ ู†ุชูŠุฌุฉ ุงูƒุชุจู‡ุง ุงุญูˆู„ู‡ุง kilogram
1496
+
1497
+ 375
1498
+ 00:34:38,810 --> 00:34:47,470
1499
+ kilogram ู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน ููŠ second ุนู„ู‰ ู…ุชุฑ
1500
+
1501
+ 376
1502
+ 00:34:47,470 --> 00:34:53,090
1503
+ ุชุฑุจูŠุน ู…ุงุดูŠ ุงู„ุงู†
1504
+
1505
+ 377
1506
+ 00:34:53,090 --> 00:34:55,810
1507
+ ู…ุถุฑุจ ุงุญู†ุง ู…ุด ู…ุดูƒู„ุฉ ุงู„ุฏุฑุจ ุจุณ ุฎู„ู‘ูŠู†ูŠ ุงุดูˆู ุงู„ูˆุญุฏุงุช
1508
+
1509
+ 378
1510
+ 00:34:55,810 --> 00:35:03,630
1511
+ ุนู†ุฏูŠ ู‡ุงูŠ kilogram ู‡ุงูŠ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุง
1512
+
1513
+ 379
1514
+ 00:35:03,630 --> 00:35:10,160
1515
+ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุงุนู†ุฏูŠ ู…ุชุฑ ุฎู„ู‘ูŠู†ูŠ ุชุฑูˆุญ ู…ุน ุงู„ู…ุชุฑ
1516
+
1517
+ 380
1518
+ 00:35:10,160 --> 00:35:17,980
1519
+ ู‡ุฐู‡ ู…ุงุดูŠ ูˆู‡ุฐู‡ ู…ุชุฑ ุชู‚ุฑูŠุจุง ู…ุชุฑ ููŠู‡ุง ู…ุน ู…ุชุฑ ู‡ุงูŠ ูˆุงุญุฏุฉ
1520
+
1521
+ 381
1522
+ 00:35:17,980 --> 00:35:24,700
1523
+ ุงุชู†ุชูŠู† ุชู„ุงุชุฉ ุฑุงุญูˆุง ูˆุงู„ second ู‡ุงูŠ second ู…ุน second
1524
+
1525
+ 382
1526
+ 00:35:24,700 --> 00:35:30,560
1527
+ ูˆู‡ูŠ second ู…ุน second ู…ุนู†ุงู‡ unit less unit less
1528
+
1529
+ 383
1530
+ 00:35:30,560 --> 00:35:39,100
1531
+ ู…ุงููŠุด dimension ู„ุณู‡ ุฏู‡ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู„ุฃ
1532
+
1533
+ 384
1534
+ 00:35:39,100 --> 00:35:43,900
1535
+ ู„ุฃ ุงุชุฃูƒุฏ ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู„ุฃ ุงุชุฃูƒุฏ ุงูŠ ูุงุฏุฑ ู…ุงููŠุด ู…ุซู„
1536
+
1537
+ 385
1538
+ 00:35:43,900 --> 00:35:52,320
1539
+ ู„ุฃ ูุงู‚ุถูˆุง ุจุงู„ุฑู‚ู… ุชุดูˆููˆุง ุงูŠุด ุจูŠุทู„ุน ู…ุนุงูƒู… 2551599
1540
+
1541
+ 386
1542
+ 00:35:52,320 --> 00:35:56,120
1543
+ 2551599
1544
+
1545
+ 387
1546
+ 00:35:56,120 --> 00:36:02,620
1547
+ ูˆุงู† ุณุช ุงุฑุจุน ูˆุงู† ุณุช ุงุฑุจุน ุทูŠุจ ุฎู„ูŠู†ุง ู†ุญ๏ฟฝ๏ฟฝุจ ู…ู† ู†ุธุงู…
1548
+
1549
+ 388
1550
+ 00:36:02,620 --> 00:36:10,410
1551
+ ุฅุญุฏุงุซ ู„ุบุฒูŠุฉูˆ ู‡ุชู„ู†ุบ Zero ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† ูˆ ุณุชูŠู† point
1552
+
1553
+ 389
1554
+ 00:36:10,410 --> 00:36:20,290
1555
+ ุชู„ุงุชุฉ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ุชูƒูŠุจ ุตุญ ููŠ ุงู„ V ุงู„ู„ูŠ
1556
+
1557
+ 390
1558
+ 00:36:20,290 --> 00:36:28,970
1559
+ ู‡ูŠ ุงุฑุจุนุฉ ู‚ุฏู… ูƒู„ second ููŠ ุงู„ D ุงู„ู„ูŠ ู‡ูŠ ุชู…ุงู†ูŠุฉ ุนู„ู‰
1560
+
1561
+ 391
1562
+ 00:36:28,970 --> 00:36:33,550
1563
+ ุงุชู†ุงุด ู‚ุฏู… ุนู„ู‰
1564
+
1565
+ 392
1566
+ 00:36:36,080 --> 00:36:44,580
1567
+ ู…ูŠูˆ ุงุชู†ูŠู† point o ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุงู„ุณุงู„ุจ ุงู„ุฎู…ุณุฉ
1568
+
1569
+ 393
1570
+ 00:36:44,580 --> 00:36:51,480
1571
+ pound force ุจุฏูŠ ุงุญุทู‡ุง ูƒ pound mass ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ููŠ
1572
+
1573
+ 394
1574
+ 00:36:51,480 --> 00:36:59,000
1575
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ pound mass ููŠ ู‚ุฏู…
1576
+
1577
+ 395
1578
+ 00:36:59,000 --> 00:37:01,240
1579
+ ุนู„ู‰ second ุชุฑุจูŠุน
1580
+
1581
+ 396
1582
+ 00:37:04,180 --> 00:37:10,180
1583
+ ุนูˆู‘ุท ุนู„ู‰ ุงู„ bond force ููŠ second ุนู„ู‰
1584
+
1585
+ 397
1586
+ 00:37:10,180 --> 00:37:15,980
1587
+ ู‚ุฏู… ุชุฑุจูŠุฃ ุทูŠุจ
1588
+
1589
+ 398
1590
+ 00:37:15,980 --> 00:37:21,620
1591
+ ู‡ุงูŠ
1592
+
1593
+ 399
1594
+ 00:37:21,620 --> 00:37:26,320
1595
+ pound pass ุฑุงุญุช ู‡ุงูŠ
1596
+
1597
+ 400
1598
+ 00:37:26,320 --> 00:37:31,820
1599
+ foot ุฑุงุญุช ู…ู† ู‡ู†ุง ูˆ ุฑุงุญุช ู…ู† ู‡ู†ุง ู…ุงุดูŠ ู‡ุงูŠ ูˆุงุญุฏ ุงุช ู…ู†
1600
+
1601
+ 401
1602
+ 00:37:31,820 --> 00:37:39,110
1603
+ ู‡ู†ุง ุฑุงุญุช ุงู„ุชูƒูŠุจูˆ ู‡ุงูŠ ูุช ู‡ูŠู† ุฑุงุญ ู…ุน ุงู„ูุช ู‡ูŠู† ุนู†ุฏูŠ
1604
+
1605
+ 402
1606
+ 00:37:39,110 --> 00:37:45,090
1607
+ ู‡ูŠู† ู‡ุงูŠ second ุฑุงุญุช ู…ุน second ูˆ ู‡ุงูŠ second ุชุญุช
1608
+
1609
+ 403
1610
+ 00:37:45,090 --> 00:37:52,790
1611
+ ุฑุงุญุช ู…ุน second ู‡ูŠู† ุงุถุฑุจ ู„ู„ุฑู‚ู… ุทู„ุน ู†ูุณ
1612
+
1613
+ 404
1614
+ 00:37:52,790 --> 00:37:59,090
1615
+ ุงู„ุฑู‚ู… ู‡ูŠุทู„ุน ุชู‚ุฑูŠ ู†ูุณ ุงู„ุฑู‚ู… ุทู„ุน ุฎู„ูุงุช ุจุณูŠุทุฉ
1616
+
1617
+ 405
1618
+ 00:38:05,480 --> 00:38:11,420
1619
+ ุจุชุงู† ูˆ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ุฃู„ู ูˆ ุณุชู…ูŠุฉ ูˆ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู†
1620
+
1621
+ 406
1622
+ 00:38:11,420 --> 00:38:17,980
1623
+ ุฃุฑุจุน ุงู„ู„ูŠ ุงู†ุง ุงุนุชุจุฑ ุงู† ู‡ุฐุง ู‡ูˆ ุงู„ reference ู„ูˆ ุฎุณู†ุช
1624
+
1625
+ 407
1626
+ 00:38:17,980 --> 00:38:23,520
1627
+ .. ุงุชุฑุญุช ู‡ุฐุง ู†ุงู‚ุต ู‡ุฐุง ุนู„ู‰ ู‡ุฐุง ูˆ ุถู…ู† ุงู„ูู…ูŠุฉ ุดูˆู
1628
+
1629
+ 408
1630
+ 00:38:23,520 --> 00:38:27,200
1631
+ ู†ูุณูƒ ุงู„ุฎุทุฃ ูƒู… ูŠุนู†ูŠ ุงุชุฑุญ ู‡ุฐุง ูˆ ู‡ุฐุง ุนู„ู‰ ุงู„ุฃูˆู„ุงู†
1632
+
1633
+ 409
1634
+ 00:38:27,200 --> 00:38:32,860
1635
+ ุงู„ูู…ูŠุฉ percentage error ู‡ุชูƒูˆู†
1636
+
1637
+ 410
1638
+ 00:38:32,860 --> 00:38:34,020
1639
+ ุชุณุงูˆู… ุงู„ู„ูŠ ู‡ูˆ
1640
+
1641
+ 411
1642
+ 00:38:38,350 --> 00:38:53,030
1643
+ ู…ุด ู…ู‡ู… ุงู„ุฅุดุงุฑุฉ ุงูƒู…
1644
+
1645
+ 412
1646
+ 00:38:53,030 --> 00:38:53,650
1647
+ ุชุทู„ุนุŸ
1648
+
1649
+ 413
1650
+ 00:39:05,320 --> 00:39:10,500
1651
+ point zero ุงุชู†ูŠู† ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉ ู†ูุณ ุงู„ุฎุทุฃ ูˆู„ุง ุงุดูŠ
1652
+
1653
+ 414
1654
+ 00:39:10,500 --> 00:39:13,400
1655
+ ุทุจุนุง ุงู„ุฎุทุฃ ุงู†ู‡ ู†ุชูŠุฌุฉ ุงู„ conversion ู†ุชูŠุฌุฉ ุงู„
1656
+
1657
+ 415
1658
+ 00:39:13,400 --> 00:39:17,380
1659
+ conversion ุจูŠุตูŠุฑ ู†ูุณ ุงู„ุฎุทุฃ ุจุณ ูˆุงุถุญ ุงู†ู‡ result
1660
+
1661
+ 416
1662
+ 00:39:17,380 --> 00:39:21,340
1663
+ number ููŠ ุงู„ุญุงู„ุชูŠู† ู†ูุณ ุงู„ุงุดูŠ ู„ุงู†ู‡ unit less ู…ุด
1664
+
1665
+ 417
1666
+ 00:39:21,340 --> 00:39:24,720
1667
+ unit less ูˆู…ุฒุงู„ unit less ุงูˆ dimension less ู…ู† ุงุช
1668
+
1669
+ 418
1670
+ 00:39:24,720 --> 00:39:31,220
1671
+ ู„ุงุฒู… ูŠุทู„ุน ู†ูุณ ุงู„ุฑู‚ู… ุชู‚ุฑูŠุจุง ู‡ูŠูƒ
1672
+
1673
+ 419
1674
+ 00:39:31,220 --> 00:39:35,530
1675
+ ูŠูƒูˆู† ุฎู„ุตู†ุง chapter ุงุชู†ูŠู†ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠ .. ุงู„ุงุณุจูˆุน
1676
+
1677
+ 420
1678
+ 00:39:35,530 --> 00:39:44,290
1679
+ ุงู„ุฌุงู‰ chapter ุชู„ุงุชุฉ ู‡ูŠุงุฎุฏ ุงุณุจูˆุน ูƒุงู…ู„ ุงุชู†ุงุด ู„ุฃ
1680
+
1681
+ 421
1682
+ 00:39:44,290 --> 00:39:49,530
1683
+ ู…ุด ูƒู„ู‡ ุทุจุนุง ู…ุงุดูŠุŸ ุดูƒุฑุง ุนุงููŠุฉ
1684
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/8iEFJATsb40.srt ADDED
@@ -0,0 +1,1999 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:08,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,330 --> 00:00:14,150
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ู…ุญุงุถุฑุงุช chapter ุซู„ุงุซุฉ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:14,150 --> 00:00:19,810
11
+ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑูŠุจูŠุฉ assessing and
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:25,230
15
+ presenting experimental data ู‡ู†ูƒู…ู„
16
+
17
+ 5
18
+ 00:00:25,230 --> 00:00:29,450
19
+ ู‡ู†ุฑุฌุน ู†ุญูƒูŠ ุนู† ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bias and single
20
+
21
+ 6
22
+ 00:00:29,450 --> 00:00:31,330
23
+ sample uncertainty
24
+
25
+ 7
26
+ 00:00:33,530 --> 00:00:37,710
27
+ single sample ุจุนุถ ุงู„ุฃุญูŠุงู† ุจุฃุฎุฐ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ
28
+
29
+ 8
30
+ 00:00:37,710 --> 00:00:40,790
31
+ ู‚ุฑุงุกุชูŠู† ุฃูˆ ุซู„ุงุซ ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุจูŠูƒูˆู† ุตุบูŠุฑ
32
+
33
+ 9
34
+ 00:00:40,790 --> 00:00:47,530
35
+ ุฌุฏุงู‹ ูุจุณู…ูŠู‡ุง ูƒุฃู†ู‡ุง single sample ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:00:47,530 --> 00:00:51,390
39
+ ุฃู†ุง ุนู†ุฏูŠ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ errors ุณุงุจู‚ุงู‹ ุญูƒูŠู†ุง ุจูŠุฌูŠ ุนู†
40
+
41
+ 11
42
+ 00:00:51,390 --> 00:00:54,890
43
+ ู†ูˆุนูŠู† ุงู„ู„ูŠ ู‡ูˆ precision errors ูˆ systematic ุฃูˆ
44
+
45
+ 12
46
+ 00:00:54,890 --> 00:01:03,760
47
+ bias errors. ุงู„ู€ bias errorsุŒ ุงู„ุทุฑูŠู‚ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ุจุงุดุฑุฉ
48
+
49
+ 13
50
+ 00:01:03,760 --> 00:01:09,920
51
+ ู„ู„ูƒุดู ุฃูˆ ุญุณุงุจ ุงู„ู€ bias error ู‡ูŠ ู…ู† ุฎู„ุงู„ ุฃู† ุฃุนู…ู„
52
+
53
+ 14
54
+ 00:01:09,920 --> 00:01:18,980
55
+ ุงู„ู‚ูŠุงุณ ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุฌู‡ุงุฒ ุฃูƒุซุฑ ุฏู‚ุฉ. ูŠุนู†ูŠ ู…ุซู„ุงู‹ ุฌู‡ุงุฒ
56
+
57
+ 15
58
+ 00:01:18,980 --> 00:01:22,620
59
+ ุนู†ุฏู†ุง ู‚ูŠุงุณ ุงู„ูˆุฒู† ุฏู‚ุชู‡ ู…ุซู„ุงู‹ plus or minus ูˆุงุญุฏ gram
60
+
61
+ 16
62
+ 00:01:24,710 --> 00:01:28,410
63
+ ุนุดุงู† ุฃุนุฑู ุงู„ู€ bias ุฃูˆ ุงู„ู€ systematic error ู…ู…ูƒู†
64
+
65
+ 17
66
+ 00:01:28,410 --> 00:01:33,850
67
+ ุฃุณุชุฎุฏู…ุŒ ุขุฎุฐ ุงู„ู‚ุฑุงุกุฉ ุจุงู„ุฌู‡ุงุฒ ุงู„ุฃุตู„ูŠ ุชุงุนู‡ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ
68
+
69
+ 18
70
+ 00:01:33,850 --> 00:01:37,210
71
+ ุงู„ุฎุทุฃ ููŠู‡ plus or minus ูˆุงุญุฏ gram ูˆุจุงู„ุฌู‡ุงุฒ
72
+
73
+ 19
74
+ 00:01:37,210 --> 00:01:40,850
75
+ ุงู„ุฃูƒุซุฑ ุฏู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠู‡ plus or minus
76
+
77
+ 20
78
+ 00:01:40,850 --> 00:01:47,050
79
+ 0.1 gram. ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ู…ู† ุฎู„ุงู„ ู…ู‚ุงุฑู†ุฉ ู…ุน
80
+
81
+ 21
82
+ 00:01:47,050 --> 00:01:54,400
83
+ more accurate standard ุฃูˆ more accurate device ู…ู…ูƒู†
84
+
85
+ 22
86
+ 00:01:54,400 --> 00:02:00,280
87
+ ุฃุนุฑู ุงู„ู€ bias errorุŒ ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุฏุงุฆู…ุงู‹ ุจุชูƒูˆู†
88
+
89
+ 23
90
+ 00:02:00,280 --> 00:02:07,160
91
+ ู…ุชุงุญุฉุŒ ุฃูˆ ุจุงู„ุชุงู„ูŠ ู…ุด ุฏุงุฆู…ุงู‹ ุจุชูƒูˆู† ู…ุชุงุญุฉ ุนู†ุฏ ุฌู‡ุงุฒ ุฃูƒุซุฑ
92
+
93
+ 24
94
+ 00:02:07,160 --> 00:02:14,420
95
+ ุฏู‚ุฉ. ู‡ุฐุง ุณุจุจุŒ ูˆุจุนุถ ุงู„ุฃุญูŠุงู† ู…ู…ูƒู† ุชูƒูˆู† ู…ูƒู„ูุฉ ูˆุชุณุชุบุฑู‚
96
+
97
+ 25
98
+ 00:02:14,420 --> 00:02:21,440
99
+ ูˆู‚ุชุงู‹. ุฃุจุฏุฃ ุฃููƒุฑ ุจุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ ู„ุชูˆู‚ุน ุฃูˆ ุญุณุงุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
100
+
101
+ 26
102
+ 00:02:21,440 --> 00:02:26,300
103
+ bias error ุนุดุงู†
104
+
105
+ 27
106
+ 00:02:26,300 --> 00:02:33,920
107
+ ู†ุชูˆู‚ุน ู‚ูŠู…ุฉ ุงู„ู€ bias error ุจู†ุนุชู…ุฏ ุนู„ู‰ ู…ุนุฑูุชู†ุง
108
+
109
+ 28
110
+ 00:02:33,920 --> 00:02:37,980
111
+ ู„ู„ุฃุฌู‡ุฒุฉ ุงู„ู„ูŠ ุฅุญู†ุง ุจู†ุชุนุงู…ู„ ู…ุนุงู‡ุงุŒ ุฃู†ุง ุจุชุนุงู…ู„ ู…ุนุงู‡ุง
112
+
113
+ 29
114
+ 00:02:38,670 --> 00:02:43,990
115
+ ู…ูŠุฒุงู†ุŒ ุงู„ู„ูŠ ุณู†ุฉ ุณู†ุชูŠู† ุจุชุนุงู…ู„ ููŠู‡ ุฃูˆ ุจุชุนุงู…ู„ ู…ุน ุฌู‡ุงุฒ
116
+
117
+ 30
118
+ 00:02:43,990 --> 00:02:50,530
119
+ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุฃูˆ ุฌู‡ุงุฒ ู„ุญุณุงุจ ุงู„ู€ flowุŒ ุฃูˆ ุฌู‡ุงุฒ
120
+
121
+ 31
122
+ 00:02:50,530 --> 00:02:55,370
123
+ ู„ุญุณุงุจ ุงู„ู€ viscosity. ููŠ ูƒุซูŠุฑ ุดุบู„ุงุช ูŠู…ูƒู† ู‚ูŠุงุณู‡ุงุŒ ุงู„ู„ูŠ
124
+
125
+ 32
126
+ 00:02:55,370 --> 00:03:00,620
127
+ ู‡ู†ุชุนุงู…ู„ ู…ุน ุงู„ุฌู‡ุงุฒ ุจุดูƒู„ ูŠูˆู…ูŠุŒ ุจูŠุตูŠุฑ ุฃุนุฑู ุฎุตุงุฆุตู‡ ุฃูƒุซุฑ
128
+
129
+ 33
130
+ 00:03:00,620 --> 00:03:03,100
131
+ ุจูŠุตูŠุฑ ู…ุนุงูŠุง ุฎุจุฑุฉ ููŠ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ุฌู‡ุงุฒุŒ ูุฃุนุฑู ูˆุงู„ู„ู‡
132
+
133
+ 34
134
+ 00:03:03,100 --> 00:03:06,720
135
+ ุฃู†ู‘ ุฌู‡ุงุฒ ุฒูŠุงุฏุฉ ุจูŠุนุทูŠู†ุง ุงู†ุญุฑุงูุŒ ุฏุงุฆู…ุงู‹ ุงู†ุญุฑุงู ุซุงุจุช
136
+
137
+ 35
138
+ 00:03:06,720 --> 00:03:13,360
139
+ ู…ุซู„ุงู‹ 0.1 gram ููŠ ุงู„ูˆุฒู†ุŒ ุฃูˆ ู…ุซู„ุงู‹ุŒ ูˆ .. ุฅุฐุง ูƒุงู†
140
+
141
+ 36
142
+ 00:03:13,360 --> 00:03:19,780
143
+ ุฌู‡ุงุฒ ู‚ูŠุงุณ .. ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ ูˆุงู„ู„ู‡ ุงู„ุฌู‡ุงุฒ ุฏู‡
144
+
145
+ 37
146
+ 00:03:19,780 --> 00:03:26,390
147
+ ู…ู† ุฎุจุฑุชูŠ ุจูŠุนุทูŠู†ุงุŒ ูˆุงู„ู„ู‡ ุจูŠุฒูŠุฏ ู…ุซู„ุงู‹ one degree. ูู…ู†
148
+
149
+ 38
150
+ 00:03:26,390 --> 00:03:34,210
151
+ ุงู„ุฎุจุฑุฉ ู…ู…ูƒู† ุฃู†ุง ุฃุชูˆู‚ุน ุฃูˆ ุฃุนู…ู„ ุชู‚ุฏูŠุฑุงุช ู„ุญุฌู… ุงู„ุฎุทุฃ
152
+
153
+ 39
154
+ 00:03:34,210 --> 00:03:39,110
155
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bias error. ุงู„ู€
156
+
157
+ 40
158
+ 00:03:39,110 --> 00:03:42,730
159
+ estimation of bias uncertainty lies on ุงู„ู„ูŠ ู‡ูˆ
160
+
161
+ 41
162
+ 00:03:42,730 --> 00:03:49,720
163
+ ุชู‚ุฏูŠุฑ ุงู„ู€ bias uncertainty ุจูŠุชู…ุฏ ุนู„ู‰ ุงู„ุฎุจุฑุฉุŒ way
164
+
165
+ 42
166
+ 00:03:49,720 --> 00:03:54,100
167
+ understanding of calibration accuracy ู„ู…ุง ุฃู†ุง ุนู…ู„ุช
168
+
169
+ 43
170
+ 00:03:54,100 --> 00:04:00,440
171
+ ู…ุนุงูŠุฑุฉุŒ ู…ุนุงูŠุฑุฉ ู„ุฌู‡ุงุฒุŒ ุนุฑูุช ู…ู† ุฎู„ุงู„ .. ู„ู…ุง ุฃู†ุง ุฃุนู…ู„
172
+
173
+ 44
174
+ 00:04:00,440 --> 00:04:04,760
175
+ ู…ุนุงูŠุฑุฉุŒ ุฃู†ุง ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ standard ูˆุนู†ุฏูŠ ุฌู‡ุงุฒ ุชุญุช
176
+
177
+ 45
178
+ 00:04:04,760 --> 00:04:09,780
179
+ ุงู„ุฏุฑุงุณุฉ. ุงู„ู€ standard ุชู‚ุฑูŠุจุงู‹ ๏ฟฝ๏ฟฝูŠุนุทูŠู†ูŠ ู‚ูŠู…ุฉ true ู‚ุฑูŠุจุฉ
180
+
181
+ 46
182
+ 00:04:09,780 --> 00:04:13,260
183
+ ู…ู† ุงู„ู€ true valueุŒ ูˆุงู„ุฌู‡ุงุฒ ู‡ูˆ ุงู„ู„ูŠ ุฃู†ุง ุจู‚ูŠุณ ููŠู‡
184
+
185
+ 47
186
+ 00:04:13,260 --> 00:04:18,000
187
+ ูุจุฃุฎุฐ ุนุฏุฉ ู‚ุฑุงุกุงุชุŒ ูŠุนู†ูŠ ุจู‚ุงุฑู† ุจูŠู† ุงู„ู€ standard ูˆ
188
+
189
+ 48
190
+ 00:04:18,000 --> 00:04:21,480
191
+ ุงู„ุฌู‡ุงุฒ ุจุชุงุนูŠ. ุจุนุฏ ู…ุง ูˆุฌุฏุช ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ู† ู…ุนุฑูุชูŠ
192
+
193
+ 49
194
+ 00:04:21,480 --> 00:04:24,260
195
+ ู„ุชูุงุตูŠู„ ุงู„ู€ calibrationุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ linearity ูˆุงู„ู€
196
+
197
+ 50
198
+ 00:04:24,260 --> 00:04:29,140
199
+ hysteresis ูˆุงู„ู€ offset. ู‡ุฐู‡ ุจุชููŠุฏู†ูŠ ุจุชู‚ุฏูŠุฑ ุงู„ู€ bias
200
+
201
+ 51
202
+ 00:04:29,140 --> 00:04:29,520
203
+ error.
204
+
205
+ 52
206
+ 00:04:32,480 --> 00:04:37,120
207
+ ุจุงู„ุฅุถุงูุฉ ู„ู€ .. ู„ู„ู€ dimensional tolerancesุŒ ุงู„ู„ูŠ ู‡ูŠ
208
+
209
+ 53
210
+ 00:04:37,120 --> 00:04:42,640
211
+ ุงู„ูุฑูˆู‚ุงุช ุฃูˆ ุงู„ู€ .. ุงู„ุฃุฎุทุงุก ุงู„ู…ุณู…ูˆุญุฉ ููŠ ุงู„ู€ .. ุงู„ู€ ..
212
+
213
+ 54
214
+ 00:04:42,640 --> 00:04:44,000
215
+ ุงู„ุฃุจุนุงุฏ ุงู„ุทูˆู„ูŠุฉ.
216
+
217
+ 55
218
+ 00:04:46,450 --> 00:04:49,550
219
+ A diligence, persistence and careful examination
220
+
221
+ 56
222
+ 00:04:49,550 --> 00:04:53,390
223
+ of one's results are essential in identifying and
224
+
225
+ 57
226
+ 00:04:53,390 --> 00:04:58,330
227
+ estimating such errors. ูŠุนู†ูŠ ุงู„ุฅุตุฑุงุฑ ูˆุงู„ู€ .. ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:04:58,330 --> 00:05:09,640
231
+ ูŠูƒูˆู† ุนู†ุฏูŠ ุชูุญุต ุฏู‚ูŠู‚ ู„ู„ู†ุชุงุฆุฌ ุถุฑูˆุฑูŠ ุฌุฏุงู‹ ุนุดุงู† ุฃูุญุฏุฏู
232
+
233
+ 59
234
+ 00:05:09,640 --> 00:05:14,860
235
+ ุฃุชุฎู„ุต ุฃูˆ ุฃุฎูู ู…ู† ุงู„ุฃุฎุทุงุก ููŠ ุงู„ู€ results ุนู†ุฏูŠ. ููŠุนู†ูŠ
236
+
237
+ 60
238
+ 00:05:14,860 --> 00:05:19,860
239
+ ุงู„ุชุฌุฑุจุฉ ุฃูˆ ุฃูŠ ุชุฌุฑุจุฉ ุฃุนู…ู„ู‡ุงุŒ ุนุงุฏุฉู‹ ุจุฃุนู…ู„ ู…ุง ูŠุณู…ู‰ ุนู…ู„ูŠุฉ
240
+
241
+ 61
242
+ 00:05:19,860 --> 00:05:23,900
243
+ ุงู„ุชุนู„ู… ููŠ ุงู„ุฃูˆู„ุŒ ุจุฃุฌุฑูŠ ุงู„ุชุฌุงุฑุจ ู…ุซู„ุงู‹ ุจุดูƒู„ ุณุฑูŠุนุŒ ุจุฃุฌุฑูŠู‡ุง
244
+
245
+ 62
246
+ 00:05:23,900 --> 00:05:28,480
247
+ ู…ุฑุฉุŒ ู…ุฑุชูŠู†ุŒ ุซู„ุงุซุŒ ูุจูู‡ู… ุดูˆูŠุฉุŒ ุจูŠุตูŠุฑ ุนู†ุฏูŠ ู…ุนู„ูˆู…ุงุช ุฃูƒุซุฑ
248
+
249
+ 63
250
+ 00:05:28,480 --> 00:05:34,440
251
+ ูƒูŠู ุงู„ุฃู…ูˆุฑ ุจุชุตูŠุฑุŒ ูˆูŠู† ุงู„ุฃุฎุทุงุก ู…ุฑุชูุนุฉุŒ ูˆู…ู†ุฎูุถุฉุŒ ุฅูŠุด
252
+
253
+ 64
254
+ 00:05:34,440 --> 00:05:37,880
255
+ ุงู„ุธุฑูˆู ุงู„ู„ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจุŒ ูุฃู†ุง ู…ุญุชุงุฌ to
256
+
257
+ 65
258
+ 00:05:37,880 --> 00:05:41,160
259
+ build some experience. ู‡ุฐู‡ ุงู„ู€ experience ุจุชู€ ..
260
+
261
+ 66
262
+ 00:05:41,160 --> 00:05:44,860
263
+ ุจูŠุตูŠุฑ ู…ุน ุงู„ู…ุชุงุจุนุฉุŒ ู…ุน ุงู„ุฅุตุฑุงุฑุŒ ุฃู† ุฃุฌุฑูŠ ุงู„ุชุฌุงุฑุจ ุฃูƒุซุฑ
264
+
265
+ 67
266
+ 00:05:45,160 --> 00:05:51,500
267
+ ู…ู† ู…ุฑุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุงู„ู€ issue ุจูŠุนุทูŠู†ูŠ ุงู„ู‚ุฏุฑุฉ ุฃู†
268
+
269
+ 68
270
+ 00:05:51,500 --> 00:05:59,940
271
+ ุฃูุญุณู‘ู† ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจ ุงู„ู„ูŠ ุฃู†ุง ุจุฃุฌุฑูŠู‡ุง. instance
272
+
273
+ 69
274
+ 00:05:59,940 --> 00:06:03,680
275
+ of bias uncertainty should be accompanied by a
276
+
277
+ 70
278
+ 00:06:03,680 --> 00:06:07,540
279
+ confidence level. ู„ู…ุง ุจุญุณุจ ุงู„ุฎุทุฃ ููŠ ุงู„ู€ bias
280
+
281
+ 71
282
+ 00:06:07,540 --> 00:06:12,660
283
+ uncertaintyุŒ ุงู„ุฎุทุฃ ููŠ ุงู„ุงู†ุญุฑุงู ุฃูˆ ุงู„ุฎุทุฃ ุงู„ุงู†ุญุฑุงููŠ
284
+
285
+ 72
286
+ 00:06:12,660 --> 00:06:17,100
287
+ ุงู„ุซุงุจุชุŒ ุจุฏูŠ ุฃุญุท ุฏุฑุฌุฉ ูŠู‚ูŠู† ุฃู†ุง ุจุฃุนู…ู„ estimation
288
+
289
+ 73
290
+ 00:06:17,100 --> 00:06:21,580
291
+ ุจุฏุฑุฌุฉ ูŠู‚ูŠู† ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉุŒ ุจุฏุฑุฌุฉ ูŠู‚ูŠู† ุณุจุนูŠู† ููŠ
292
+
293
+ 74
294
+ 00:06:21,580 --> 00:06:25,880
295
+ ุงู„ู…ุฆุฉุŒ ุฃูˆ ุจุฏุฑุฌุฉ ูŠู‚ูŠู† ู…ุซู„ุงู‹ ุชุณุนุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉุŒ ูุงู„ู€
296
+
297
+ 75
298
+ 00:06:25,880 --> 00:06:31,080
299
+ estimation ุจูƒูˆู† ู…ู‚ุฑูˆู† ุจุฏุฑุฌุฉ ูŠู‚ูŠู†.
300
+
301
+ 76
302
+ 00:06:33,730 --> 00:06:38,530
303
+ level of confidence assigned. ู…ุณุชูˆู‰ ุฏุฑุฌุฉ ุงู„ูŠู‚ูŠู†
304
+
305
+ 77
306
+ 00:06:38,530 --> 00:06:43,130
307
+ ุงู„ู„ูŠ ุฅุญู†ุง ุญุงุทูŠู†ู‡ is a product of our knowledge of
308
+
309
+ 78
310
+ 00:06:43,130 --> 00:06:47,630
311
+ the system. ู‡ูˆ ู†ุงุชุฌ ุนู† ู…ุนุฑูุชู†ุง ุจุงู„ู†ุธุงู… ุชุญุช ุงู„ุฏุฑุงุณุฉ.
312
+
313
+ 79
314
+ 00:06:48,860 --> 00:06:52,220
315
+ reflecting our assessment of the fraction of bias
316
+
317
+ 80
318
+ 00:06:52,220 --> 00:06:54,620
319
+ errors likely to land within the uncertainty
320
+
321
+ 81
322
+ 00:06:54,620 --> 00:06:59,300
323
+ interval. ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ level of confidence ุฃูˆ ู…ุณุชูˆู‰
324
+
325
+ 82
326
+ 00:06:59,300 --> 00:07:03,700
327
+ ุงู„ูŠู‚ูŠู† ุงู„ู„ูŠ ุฃู†ุง ุจุญุทู‡ ู‡ูˆ ู†ุชูŠุฌุฉ ู…ุนุฑูุชู†ุง ุจุงู„ู€ systemุŒ
328
+
329
+ 83
330
+ 00:07:03,700 --> 00:07:08,100
331
+ ุงู„ุฃุฎุทุงุก ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ุงุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ุฏู‰ ุชู‚ุฏูŠุฑู†ุง
332
+
333
+ 84
334
+ 00:07:08,100 --> 00:07:12,540
335
+ ู„ู„ู…ุณุชูˆูŠุงุช ุฃูˆ ูƒู…ูŠุงุช ุงู„ุฎุทุฃ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ุชุฌุงุฑุจ.
336
+
337
+ 85
338
+ 00:07:16,610 --> 00:07:21,710
339
+ Sometimes the term coverage is used in place of
340
+
341
+ 86
342
+ 00:07:21,710 --> 00:07:25,570
343
+ confidence to reflect the empirical nature of
344
+
345
+ 87
346
+ 00:07:25,570 --> 00:07:29,370
347
+ these estimates. ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุง ู†ุณุชุฎุฏู…ุด ุงู„ู„ูŠ ู‡ูˆ
348
+
349
+ 88
350
+ 00:07:29,370 --> 00:07:34,070
351
+ confidenceุŒ ู†ุณุชุฎุฏู… ุงู„ู…ุตุทู„ุญ coverage. coverage ู„ุฃู† ุงู„ู€
352
+
353
+ 89
354
+ 00:07:34,070 --> 00:07:41,090
355
+ confidence ูŠุชู… ุงุดุชู‚ุงู‚ู‡ ุจู†ุงุกู‹ ุนู„ู‰ ุชุญู„ูŠู„ ุฅุญุตุงุฆูŠ. ุงู„ู€
356
+
357
+ 90
358
+ 00:07:41,090 --> 00:07:45,350
359
+ coverage ู…ู…ูƒู† ูŠูƒูˆู† ุจู†ุงุกู‹ ุนู„ู‰ ุชุญู„ูŠู„ ุฅุญุตุงุฆูŠุŒ ู…ู…ูƒู†
360
+
361
+ 91
362
+ 00:07:45,350 --> 00:07:48,890
363
+ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุณุงุจู‚ุฉ ุฃ๏ฟฝ๏ฟฝ ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ. ูŠุนู†ูŠ ููŠ ุงู„ุขุฎุฑ
364
+
365
+ 92
366
+ 00:07:48,890 --> 00:07:55,930
367
+ ู‡ูŠ ุจุชุธู„ ุนู…ู„ูŠุฉ ุชู‚ุฏูŠุฑูŠุฉุŒ ู…ุง ุชุนุชู…ุฏุด ูƒุชูŠุฑ ุนู„ู‰ ุงู„ุญุณุงุจุŒ ุชุนุชู…ุฏ
368
+
369
+ 93
370
+ 00:07:55,930 --> 00:08:06,070
371
+ ุนู„ู‰ ุงู„ุฎุจุฑุฉ ูˆู…ุนุฑูุชู†ุง ู„ู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ. data
372
+
373
+ 94
374
+ 00:08:06,070 --> 00:08:06,750
375
+ reduction
376
+
377
+ 95
378
+ 00:08:09,680 --> 00:08:13,380
379
+ often requires knowledge of the physical
380
+
381
+ 96
382
+ 00:08:13,380 --> 00:08:16,840
383
+ properties, system dimensions, or electrical
384
+
385
+ 97
386
+ 00:08:16,840 --> 00:08:20,600
387
+ characteristics. ุฏู„ู‘ุงู†ุŒ ุนุงุฏุฉู‹ ุฃู† ุฃู†ุง ุจูƒูˆู† ุนู†ุฏูŠ data
388
+
389
+ 98
390
+ 00:08:20,600 --> 00:08:27,340
391
+ reduction. ุฅูŠุด ู…ุนู†ุงู‡ุŸ ุจุงุฎุชุตุฑู‡ุงุŒ ุงุฎุชุฒุงู„ ุงู„ุจูŠุงู†ุงุช ูŠุชุทู„ุจ
392
+
393
+ 99
394
+ 00:08:27,340 --> 00:08:34,880
395
+ ู…ุนุฑูุฉ ู„ู„ุฎูˆุงุต ุงู„ุทุจูŠุนูŠุฉ ู„ู„ู†ุธุงู… ุฃูˆ ู„ู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ุฃุดูŠู€ุงุก
396
+
397
+ 100
398
+ 00:08:34,880 --> 00:08:37,620
399
+ ุงู„ู„ูŠ ุฃู†ุง ุจุฏูŠ ุฃู‚ูŠุณู‡ุง .. ุจุฏูŠ ุฃู‚ูŠุณ ุญุฑุงุฑุฉ ุฃูˆ ุจุฏูŠ ุฃู‚ูŠุณ
400
+
401
+ 101
402
+ 00:08:37,620 --> 00:08:44,440
403
+ ูƒุซุงูุฉ ุฃูˆ ุจุฏูŠ ุฃู‚ูŠุณ ุทูˆู„ ุฃูˆ ุจุฏูŠ ุฃู‚ูŠุณ ู„ุฒูˆุฌุฉ. system
404
+
405
+ 102
406
+ 00:08:44,440 --> 00:08:47,700
407
+ dimensions or electrical characteristics. ุฅุฐุง ุนู†ุฏูŠ
408
+
409
+ 103
410
+ 00:08:47,700 --> 00:08:50,060
411
+ ุฌู‡ุงุฒ ุจูŠุนุทูŠู†ูŠ ุงู„ู€ digital layoutุŒ ู…ุนู†ุงุชู‡ ูˆุงุถุญ ุฃู†ู‘ู‡
412
+
413
+ 104
414
+ 00:08:50,060 --> 00:08:55,420
415
+ ุจุญูˆู‘ู„ ุงู„ู€ analog signal ู„ู€ digital signalุŒ ูุตุงุฑ ุนู†ุฏูŠ
416
+
417
+ 105
418
+ 00:08:55,420 --> 00:08:59,220
419
+ some form of transformation. ุงู„ุชุญูˆู„ ู‡ุฐุง ุฃูˆ ุงู„ุชุญูˆู„ุงุช
420
+
421
+ 106
422
+ 00:08:59,220 --> 00:09:02,920
423
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑุŒ ุจูŠุฏู‘ูŠู†ูŠ ุฃู†ุง ุจูู‡ู… ูƒูŠู ุจูŠุตูŠุฑ ุงู„ุชุญูˆู„ุงุช ู‡ุฐู‡
424
+
425
+ 107
426
+ 00:09:02,920 --> 00:09:09,600
427
+ ู…ู…ูƒู† ุฃู‚ุฏุฑ ุงู„ู€ bias error ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ุฌู‡ุงุฒ.
428
+
429
+ 108
430
+ 00:09:09,600 --> 00:09:15,570
431
+ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ A flow meter measurement may depend
432
+
433
+ 109
434
+ 00:09:15,570 --> 00:09:21,170
435
+ on density of water and tube diameter. ู‚ูŠุงุณ ุงู„ุชุฏูู‚
436
+
437
+ 110
438
+ 00:09:21,170 --> 00:09:27,030
439
+ ุชุฏูู‚ ุจุนุชู…ุฏ ุนู„ู‰ ูƒุซุงูุฉ ุงู„ู…ูŠุงู‡ ูˆู‚ุทุฑ ุงู„ุฃู†ุจูˆุจ.
440
+
441
+ 111
442
+ 00:09:36,200 --> 00:09:39,100
443
+ ุงู„ู€ differences between the assumed values of
444
+
445
+ 112
446
+ 00:09:39,100 --> 00:09:44,160
447
+ these components. ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ
448
+
449
+ 113
450
+ 00:09:44,160 --> 00:09:46,900
451
+ ู„ู„ู€ these components. ุงู„ู€ components ุงู„ู…ู‚ุตูˆุฏ ููŠู‡ุง ุฅูŠุดุŸ
452
+
453
+ 114
454
+ 00:09:46,900 --> 00:09:52,730
455
+ ุงู„ู€ density ูˆู‚ุทุฑ ุงู„ู€ EnvelopeุŒ ูˆุงู„ู€
456
+
457
+ 115
458
+ 00:09:52,730 --> 00:09:57,630
459
+ actual values. ู„ุฃู† ููŠ ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ ูˆ
460
+
461
+ 116
462
+ 00:09:57,630 --> 00:10:02,430
463
+ ุงู„ู‚ูŠู… ุงู„ุญู‚ูŠู‚ูŠุฉ. ู„ุฃู† ู‡ุฐุง ุงู„ูุฑู‚ ู…ู…ูƒู† systematize
464
+
465
+ 117
466
+ 00:10:02,430 --> 00:10:07,490
467
+ shift all ู„ูŠุนู…ู„ ุฅุฒุงุญุฉ ู„ูƒู„ ุงู„ู‚ุฑุงุกุงุชุŒ ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„
468
+
469
+ 118
470
+ 00:10:07,490 --> 00:10:11,740
471
+ bias error. ุงู„ู€ bias error ูŠุนู†ูŠ ุชู‚ุฑูŠุจุงู‹ ุจูŠูƒูˆู† ุนู†ุฏูŠ
472
+
473
+ 119
474
+ 00:10:11,740 --> 00:10:15,820
475
+ shift ุซุงุจุชุŒ ุจูŠูƒูˆู† shift ุซุงุจุช. ุงู„ู€ precision error
476
+
477
+ 120
478
+ 00:10:15,820 --> 00:10:19,100
479
+ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ fluctuationุŒ ููŠ ุนู†ุฏูŠ ุชุฐุจุฐุจ ุญูˆู„ ุงู„ู€
480
+
481
+ 121
482
+ 00:10:19,100 --> 00:10:23,540
483
+ central value. ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ bias ูˆุงู„ู€ precision.
484
+
485
+ 122
486
+ 00:10:23,540 --> 00:10:27,020
487
+ ุงู„ู€ precision ููŠู‡ ุชุฐุจุฐุจ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ุญูˆู„ ุงู„ู€ central
488
+
489
+ 123
490
+ 00:10:27,020 --> 00:10:31,580
491
+ valueุŒ ู„ูƒู† ุงู„ู€ bias ุจูŠูƒูˆู† ููŠู‡ some fixed shift ุณูˆุงุก
492
+
493
+ 124
494
+ 00:10:31,580 --> 00:10:34,180
495
+ positive ุฃูˆ negative. ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ ุฏุงุฆู…ุงู‹ ุจูŠู‚ุฑุฃ
496
+
497
+ 125
498
+ 00:10:34,180 --> 00:10:38,220
499
+ ุจุงู„ุฒูŠุงุฏุฉ ุฏุงุฆู…ุงู‹ ุฃูˆ ุจูŠู‚ุฑุฃ ุฃู‚ู„. ู‡ุฐุง ู‡ูˆ ุงู„ู€ bias error.
500
+
501
+ 126
502
+ 00:10:42,400 --> 00:10:46,300
503
+ ุฅุญู†ุง ุญุงู„ูŠุงู‹ ู†ุญูƒูŠ ุนู„ู‰ ู…ุซุงู„ุŒ hystable flow to find
504
+
505
+ 127
506
+ 00:10:46,300 --> 00:10:52,920
507
+ water's density. ุนุดุงู† ุฃูˆุฌุฏ ูƒุซุงูุฉ ุงู„ู…ูŠุงู‡ุŒ ูƒุซุงูุฉ ุงู„ู…ูŠุงู‡
508
+
509
+ 128
510
+ 00:10:52,920 --> 00:10:57,940
511
+ ุจุชุชุบูŠุฑ ู…ุน ุงู„ุชุบูŠุฑ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู…ุนู†ุงุชู‡ I have to
512
+
513
+ 129
514
+ 00:10:57,940 --> 00:11:02,510
515
+ define temperatureุŒ temperature is specified. ุจุนุฏูŠู†
516
+
517
+ 130
518
+ 00:11:02,510 --> 00:11:05,350
519
+ ุจุฑูˆุญุฉ ุนู„ู‰ ูƒุชุงุจุŒ ุนู„ู‰ handbookุŒ ู…ู† ุฌุฏุงูˆู„ุŒ ู…ู† ุงู„ุฌุฏุงูˆู„
520
+
521
+ 131
522
+ 00:11:05,350 --> 00:11:10,310
523
+ ุจุชุทู„ุน ูˆุงู„ู„ู‡ ุนู†ุฏ ุฎู…ุณูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠุงู‡ ูƒุฐุงุŒ
524
+
525
+ 132
526
+ 00:11:10,310 --> 00:11:14,570
527
+ ุนู†ุฏ ุฃุฑุจุนูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠุงู‡ ูƒุฐุงุŒ ู…ุนู†ุงู‡ ููŠ
528
+
529
+ 133
530
+ 00:11:14,570 --> 00:11:18,670
531
+ ุงู„ุฃูˆู„ I specify ุงู„ู€ temperatureุŒ ุจุนุฏูŠู† ุจุฑูˆุญ ุนู„ู‰ ูƒุชุงุจ
532
+
533
+ 134
534
+ 00:11:18,670 --> 00:11:23,490
535
+ handbookุŒ ู…ู† ุงู„ุฌุฏุงูˆู„ุŒ ุจุชุทู„ุน ุงู„ูƒุซุงูุฉ. ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
536
+
537
+ 135
538
+ 00:11:23,490 --> 00:11:27,010
539
+ ุทู„ุนุช ู…ุซู„ุงู‹ 990 ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰
540
+
541
+ 136
542
+ 00:11:27,010 --> 00:11:33,750
543
+ ุงู„ู…ุชุฑ ุงู„ู…ูƒุนุจุŒ ุนู†ุฏ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุชุญุช ุงู„ุฏุฑุงุณุฉ. ุงู„๏ฟฝ๏ฟฝู† ุฅุฐุง ูƒุงู†
544
+
545
+ 137
546
+ 00:11:33,750 --> 00:11:40,270
547
+ ููŠ ุฎุทุฃุŒ ุนุฏู… ุฏู‚ุฉ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ูŠุนู†ูŠ
548
+
549
+ 138
550
+ 00:11:40,270 --> 00:11:46,440
551
+ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ุซู„ุงุซูŠู†ุŒ ุฃู†ุง ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆุนุดุฑูŠู†.
552
+
553
+ 139
554
+ 00:11:46,440 --> 00:11:50,180
555
+ ุฏุงุฆู…ุงู‹ ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆุนุดุฑูŠู†ุŒ ู…ุน ุฃู† ููŠ ุนู†ุฏูŠ bias ููŠ
556
+
557
+ 140
558
+ 00:11:50,180 --> 00:11:55,660
559
+ ุงู„ู‚ูŠุงุณุŒ ุฏุงุฆู…ุงู‹ ุจุฃุฎุฐ ู‚ุฑุงุกุฉ ู…ู†ุญุฑูุฉ ุจุดูƒู„ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ
560
+
561
+ 141
562
+ 00:11:55,660 --> 00:11:59,600
563
+ ุงู„ุญู‚ูŠู‚ูŠุฉ. ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ู€ bias uncertainty ููŠ ุงู„ูƒุซุงูุฉ
564
+
565
+ 142
566
+ 00:11:59,600 --> 00:12:03,940
567
+ ุทู„ุนุช ู…ุนุงูŠุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุซู†ูŠู† kilogram ู„ูƒู„ ู…ุชุฑ
568
+
569
+ 143
570
+ 00:12:03,940 --> 00:12:09,690
571
+ ู…ูƒุนุจ. this uncertaintyุŒ ู‡ุฐุง ุงู„ุฎุทุฃุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ bias
572
+
573
+ 144
574
+ 00:12:09,690 --> 00:12:13,770
575
+ uncertainty may cover 95% of the temperature range
576
+
577
+ 145
578
+ 00:12:13,770 --> 00:12:17,570
579
+ we expect is possible for the system. ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ู€
580
+
581
+ 146
582
+ 00:12:17,570 --> 00:12:24,430
583
+ uncertainty .. ุงู„ู€ uncertainty ู…ู…ูƒู† ุชูู‚ุฏุฑ ุจุฏุฑุฌุฉ
584
+
585
+ 147
586
+ 00:12:24,430 --> 00:12:27,850
587
+ ุงู„ูŠู‚ูŠู† ู…ุนูŠู†ุŒ ุนุดุงู† ู†ุจูŠู‡ ู…ุซู„ุงู‹ 95% ู„ู„ู€ temperature
588
+
589
+ 148
590
+ 00:12:27,850 --> 00:12:30,050
591
+ range ุชุญุช ุงู„ุฏุฑุงุณุฉ. ู…ุซู„ุงู‹ ุงู„ู€ temperature range ุนู†ุฏูŠ
592
+
593
+ 149
594
+ 00:12:30,050 --> 00:12:32,930
595
+ ู…ุซู„ุงู‹ ู…ู† ุนุดุฑูŠู† ู„ุซู„ุงุซูŠู†ุŒ ู…ู† ุนุดุฑูŠู† ู„ุฃุฑุจุนูŠู†.
596
+
597
+ 150
598
+ 00:12:36,420 --> 00:12:41,780
599
+ this inaccuracyุŒ ู‡ุฐุง ุฃูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃุŒ will
600
+
601
+ 151
602
+ 00:12:41,780 --> 00:12:47,400
603
+ systematicallyุŒ ุจุดูƒู„ ู…ู†ุชุธู…ุŒ affect all data. ู‡ุชุฃุซุฑ
604
+
605
+ 152
606
+ 00:12:47,400 --> 00:12:52,520
607
+ ุนู„ู‰ ูƒู„ ุงู„ุจูŠุงู†ุงุช. using the particular value of
608
+
609
+ 153
610
+ 00:12:52,520 --> 00:12:53,380
611
+ density.
612
+
613
+ 154
614
+ 00:12:58,260 --> 00:13:03,340
615
+ ู‡ู†ุง ุญูƒูŠู†ุง ุงู„ุญุตุฉุŒ ุงู„ู€ flow rate ุจุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ density
616
+
617
+ 155
618
+ 00:13:03,340 --> 00:13:07,860
619
+ ุงู„ู…ูŠุงู‡ ู…ุซู„ุงู‹ุŒ ูˆุนู„ู‰ ู‚ุทุฑ ุงู„ุฃู†ุจูˆุจ. normal diameter of
620
+
621
+ 156
622
+ 00:13:07,860 --> 00:13:11,880
623
+ the tube. ุจู†ูุณ ุงู„ุณูŠุงู‚ุŒ ุงู„ู€ normal diameter of the
624
+
625
+ 157
626
+ 00:13:11,880 --> 00:13:15,700
627
+ pipe may differ from production diameter by some
628
+
629
+ 158
630
+ 00:13:15,700 --> 00:13:22,990
631
+ percent. ู„ุฃู† ู‚ุทุฑ ุงู„ุฃู†ุจูˆุจ ู…ุซู„ุงู‹ุŒ ู†ุญูƒูŠ ู…ุซู„ุงู‹ ูˆุงุญุฏ
632
+
633
+ 159
634
+ 00:13:22,990 --> 00:13:27,430
635
+ inch ุฃูˆ ุงุซู†ูŠู† inchุŒ ู‡ุฐุง ุงู„ู€ nominalุŒ ุงู„ู„ูŠ ุงู„ู…ูุฑูˆุถ ุฃู†
636
+
637
+ 160
638
+ 00:13:27,430 --> 00:13:32,210
639
+ ูŠูƒูˆู†ุŒ ู„ูƒู† ู†ุชูŠุฌุฉ ุงู„ุชุตู†ูŠุน ุจุชูƒูˆู† ููŠ ู†ุณุจุฉ ุฎุทุฃุŒ ูููŠ some
640
+
641
+ 161
642
+ 00:13:32,210 --> 00:13:37,590
643
+ percentage error ููŠ ุงู„ู‚ุทุฑ. ูููŠ ุฎุทุฃ ููŠ ู‚ูŠุงุณ ู‚ุทุฑ ุงู„ุฃู†ุจูˆุจ
644
+
645
+ 162
646
+ 00:13:37,590 --> 00:13:43,290
647
+ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน. ุทุจุนุงู‹ potential sources of
648
+
649
+ 163
650
+ 00:13:43,290 --> 00:13:49,570
651
+ error. ู†ุญูƒูŠ ู…ุตุงุฏุฑ ู…ุญุชู…ู„ุฉ ู„ู„ุฎุทุฃ such as theseุŒ ุงู„ู„ูŠ ู‡ูŠ
652
+
653
+ 164
654
+ 00:13:49,570 --> 00:13:52,930
655
+ ู†ุชูŠุฌุฉ ุงู„ุชุตู†ูŠุนุŒ remain unchanged for each
656
+
657
+ 165
658
+ 00:13:52,930 --> 00:13:55,910
659
+ measurement made with the system. ุงู„ุขู† ู‡ูˆ ุงู„ุฃู†ุจูˆุจ
660
+
661
+ 166
662
+ 00:13:55,910 --> 00:14:01,170
663
+ ู…ุตู†ูˆุน ูˆุฎู„ุตุŒ ู…ุด ู‡ุฃุตู†ุน ุฃู†ุจูˆุจ ุฎู„ุงุต ุฃู†ุง ู„ู€ .. ู„ู€ .. ู„ู€ ..
664
+
665
+ 167
666
+ 00:14:01,170 --> 00:14:04,890
667
+ ู„ู‚ูŠุงุณ .. ูˆุฃู‚ูŠุณ ู‚ุทุฑุŒ ุงู„ุขู† ู‡ูˆ already ู…ุตู†ูˆุนุŒ ูˆุงู„ุฃุฎุทุงุก
668
+
669
+ 168
670
+ 00:14:04,890 --> 00:14:08,030
671
+ ุงู„ู„ูŠ ููŠ ุงู„ุชุตู†ูŠุน already ุตุงุฑุชุŒ ุญุตู„ุชุŒ ูˆุจุงู„ุชุงู„ูŠ
672
+
673
+ 169
674
+ 00:14:08,030 --> 00:14:11,090
675
+ ุงู„ุฃุฎุทุงุก ู‡ุฐู‡ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุฃุณุงุณุงู‹ ููŠ ุงู„ุฃู†ุจูˆุจ ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:14:11,090 --> 00:14:15,900
679
+ ุฏุงุฆู…ุงู‹ ุจุณุชุฎุฏู…ู‡ุŒ ุฅู†ู‡ุง ู‡ุชุจู‚ู‰ ุชุนู…ู„ูŠ biasุŒ ูŠุนู†ูŠ ุงู†ุญุฑุงู
680
+
681
+ 171
682
+ 00:14:15,900 --> 00:14:26,460
683
+ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุตุญูŠุญุฉ ู„ุญุณุงุจ ุงู„ู‚ุทุฑ. if the uncertainty
684
+
685
+ 172
686
+ 00:14:26,460 --> 00:14:31,100
687
+ related to manufacturing tolerance is unacceptably
688
+
689
+ 173
690
+ 00:14:31,100 --> 00:14:36,080
691
+ large. ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ ุงู„ู…ุฑุชุจุท ุจุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ูƒุงู†
692
+
693
+ 174
694
+ 00:14:36,080 --> 00:14:43,680
695
+ ูƒุจูŠุฑุŒ ูƒุงู† ูƒุจูŠุฑ ูƒุซูŠุฑุงู‹ุŒ ู…ู…ูƒู† ุฅุญู†ุง ู†ุงุฎุฐ ู‚ูŠุงุณุงุช ู„ู„ู‚ุทุฑุŒ
696
+
697
+ 175
698
+ 00:14:43,680 --> 00:14:49,020
699
+ ู†ุณุชุฎุฏู… ู…ุซู„ุงู‹ ุงู„ู€ digital caliberุŒ ุฏู‚ุฉ ู…ุซู„ุงู‹ 0.01 millimeterุŒ ู†ุงุฎุฐ ู‚ุฑุงุกุชู†ุง ุฅุญู†ุงุŒ ูˆู†ุนุชู…ุฏ ุงู„ู‚ุฑุงุกุฉ
700
+
701
+ 176
702
+ 00:14:49,020 --> 00:14:53,460
703
+ ุงู„ุญู‚ูŠู‚ูŠุฉ as measured. ู„ุฃู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ู„ู…ุง ู†ุญูƒูŠ
704
+
705
+ 177
706
+ 00:14:58,400 --> 00:15:01,140
707
+ ุนู†ุฏูŠ ุงู„ู€ digital caliberุŒ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
708
+
709
+ 178
710
+ 00:15:01,140 --> 00:15:04,760
711
+ resolution ุจุชุงุน 0.01 millimeterุŒ ู…ุนู†ุงุชู‡ ููŠู‡
712
+
713
+ 179
714
+ 00:15:04,760 --> 00:15:08,640
715
+ precisionุŒ ููŠู‡ ุฏู‚ุฉุŒ ููŠู‡ ุฏู‚ุฉ ููŠ ุงู„ู‚ุฑุงุกุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง
716
+
717
+ 18
718
+
719
+ 223
720
+ 00:20:07,370 --> 00:20:10,790
721
+ Excel ุทุจุนุง ู‡ุฐู‡ ู‚ุฑุงุกุงุช ุงูุชุฑุงุถูŠุฉ
722
+
723
+ 224
724
+ 00:20:24,230 --> 00:20:33,090
725
+ ูŠุนู†ูŠ ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ standard ูˆู‡๏ฟฝ๏ฟฝ
726
+
727
+ 225
728
+ 00:20:33,090 --> 00:20:38,510
729
+ ุงู„ู€ observed ุงู„ู€
730
+
731
+ 226
732
+ 00:20:38,510 --> 00:20:43,990
733
+ standard ุงุชูˆู†ูŠ ุงู„ู‚ุฑุงุกุงุช ุฏูŠ ุฎู„ู‘ูŠู†ูŠ ุงุญู†ุง ู†ูƒูˆู† ุณูุฑ
734
+
735
+ 227
736
+ 00:20:43,990 --> 00:20:47,870
737
+ ุณูุฑ
738
+
739
+ 228
740
+ 00:20:50,120 --> 00:21:00,480
741
+ ุนุดุฑูŠู† ุฃุฑุจุนูŠู† ุณุชูŠู† ุซู…ุงู†ูŠู† ู…ุฆุฉ ุซู…ุงู†ูŠู† ุณุชูŠู† ุฃุฑุจุนูŠู†
742
+
743
+ 229
744
+ 00:21:00,480 --> 00:21:09,720
745
+ ุนุดุฑูŠู† ุฒูŠุฑูˆ ุงู„ู€ observed ุจุชุทูˆู„ ุงู„ุฃุฑู‚ุงู… ุงู„ุณูุฑ ุนุดุฑูŠู†
746
+
747
+ 230
748
+ 00:21:09,720 --> 00:21:14,100
749
+ ุงู„ุณูุฑ ุนุดุฑูŠู† point ูˆุงุญุฏ ุนุดุฑูŠู† point ูˆุงุญุฏ ุฃุฑุจุนูŠู†
750
+
751
+ 231
752
+ 00:21:14,100 --> 00:21:17,240
753
+ point ุงุซู†ูŠู† ุณุชูŠู† point ุซู„ุงุซุฉ
754
+
755
+ 232
756
+ 00:21:21,330 --> 00:21:35,790
757
+ 100.4 80.2 59.4 39.9 19.9 0.1
758
+
759
+ 233
760
+ 00:22:01,610 --> 00:22:09,530
761
+ ุฎู„ู‘ูŠู†ูŠ ุฃู† ุฃุถูŠู.. ุฃุถูŠู chart
762
+
763
+ 234
764
+ 00:22:37,870 --> 00:22:40,730
765
+ ุฎู„ู‘ูŠู†ูŠ ุฃุบูŠุฑ ู†ูˆุน ุงู„ู€ chart ุฎู„ู‘ูŠู†ูŠ ุงุณู…ู‡ scatter
766
+
767
+ 235
768
+ 00:22:45,220 --> 00:22:48,840
769
+ ุฎู„ู‘ูŠู†ูŠ ุฃุชุฃูƒุฏ ุงู„ู€ data ู‡ูˆู…ู‡ุง ุตุญ ุฎู„ู‘ูŠู†ูŠ ุฃุดูŠู„ู‡ุง ูƒู„ู‡ุง
770
+
771
+ 236
772
+ 00:22:48,840 --> 00:22:51,980
773
+ add
774
+
775
+ 237
776
+ 00:22:51,980 --> 00:23:05,380
777
+ ุงู„ู€ x axis ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ standard ูˆ ุงู„ู€ y axis ุงู„ู„ูŠ
778
+
779
+ 238
780
+ 00:23:05,380 --> 00:23:06,020
781
+ ู‡ูˆ ุงู„ู€ observed
782
+
783
+ 239
784
+ 00:23:18,030 --> 00:23:24,770
785
+ ุทุจ ุจุฏูƒูˆุง ุชู„ุงุญุธูˆุง ูŠุนู†ูŠ
786
+
787
+ 240
788
+ 00:23:24,770 --> 00:23:30,650
789
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุฃู†ุง ุจุฏุฃุช ุทุงู„ุน ุทู„ูˆุน ุณูุฑ ุนุดุฑูŠู† ุฃุฑุจุนูŠู†
790
+
791
+ 241
792
+ 00:23:30,650 --> 00:23:35,010
793
+ ุณุชูŠู† ุซู…ุงู†ูŠู† ู…ุฆุฉ ุจุนุฏูŠู† ู†ุฒู„ุช
794
+
795
+ 242
796
+ 00:23:38,180 --> 00:23:43,620
797
+ ุซู…ุงู†ูŠู† ุณุชูŠู† ุฃุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ูŠุนู†ูŠ ุนู†ุฏ ุงู„ุนุดุฑูŠู† ู‡ูŠูƒูˆู†
798
+
799
+ 243
800
+ 00:23:43,620 --> 00:23:52,480
801
+ ููŠู‡ ู‚ุฑุงุกุชูŠู† ู„ูˆ ุฃู†ุง ุฃูƒุจุฑ ู‡ู†ุง ุนู†ุฏ ุงู„ุนุดุฑูŠู† ุดุงูŠููŠู†
802
+
803
+ 244
804
+ 00:23:52,480 --> 00:23:59,620
805
+ ุนู†ุฏ ู‡ู†ุง ููŠู‡ ู‚ุฑุงุกุชูŠู† ู…ุด ู…ู†ุทุจู‚ูŠู† ุนู„ู‰ ุจุนุถ ูˆ ู†ูุณ
806
+
807
+ 245
808
+ 00:23:59,620 --> 00:24:05,440
809
+ ุงู„ุงุดุฑุงุฎุงุช ู…ุซู„ุง ุนู†ุฏ ุงู„ุณุชูŠู† ุนู†ุฏ ุงู„ุณุชูŠู†
810
+
811
+ 246
812
+ 00:24:12,090 --> 00:24:17,390
813
+ ู‡ูŠ ุจุฑุถู‡ ุนู†ุฏูŠ ุฅูŠุดุŸ ู‚ุฑุงุกุชูŠู† ูุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุนู†ุฏูŠ two
814
+
815
+ 247
816
+ 00:24:17,390 --> 00:24:25,030
817
+ curves ุฃุตู„ curve ุฃูˆุตู„ ุงู„ู†ู‚ุงุท ู‡ุฐุง
818
+
819
+ 248
820
+ 00:24:25,030 --> 00:24:29,070
821
+ ููŠ ุงู„ู€ loading ูˆุงู„ู†ู‚ุงุท ููŠ ุงู„ุฑุงุฌุน ููŠ ุงู„ู€ unloading
822
+
823
+ 249
824
+ 00:24:29,070 --> 00:24:30,970
825
+ ู‡ูŠูƒูˆู† ููŠ ุจูŠู†ู‡ู… area
826
+
827
+ 250
828
+ 00:24:33,780 --> 00:24:36,520
829
+ area ู‡ุฐู‡ ุงู„ู€ area ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ hysteresis ุฅุฐุง ููŠู‡ ุงุฎุชู„ุงู
830
+
831
+ 251
832
+ 00:24:36,520 --> 00:24:40,280
833
+ ููŠ ุงู„ู€ loading ุนู† ุงู„ู€ unloading ู…ู…ูƒู† ุชูƒูˆู† ู„ุนุฏุฉ ุฃุณุจุงุจ
834
+
835
+ 252
836
+ 00:24:40,280 --> 00:24:46,760
837
+ ุงู„ู€ friction ุงู„ุงุญุชูƒุงูƒ ุฃูˆ ุฅุฐุง ููŠ ูุฑุงุบุงุช ููŠ ู…ุซู„ุง ููŠ
838
+
839
+ 253
840
+ 00:24:46,760 --> 00:24:49,680
841
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจูŠู‚ูŠุต ุจุงุณุชุฎุฏุงู… ุงู„ุชุฑูˆุณ ุฃูˆ ุดุนุฑ ููŠู‡
842
+
843
+ 254
844
+ 00:24:49,680 --> 00:24:53,100
845
+ ูุฑุงุบุงุช ูุงู„ู€ loading ุจูŠูƒูˆู† ุถุบุท ู„ู…ุง ู†ุฑุฌุน ุจูŠุตูŠุฑ ุฅุดูŠ
846
+
847
+ 255
848
+ 00:24:53,100 --> 00:25:00,120
849
+ ุซุงู†ูŠ ุทุจ ู…ู…ูƒู† ูŠุทู„ุจ ู…ู†ู†ุง ู†ุญุณุจ ู‡ุงูŠ ู…ุณุงุญุฉ ุฃูˆ ุชู†ุญุณุจ ุขู‡
850
+
851
+ 256
852
+ 00:25:00,740 --> 00:25:03,840
853
+ ุงู„ุขู† ุฎู„ู‘ูŠู†ูŠ ุฃูˆู„ ุดูŠ ุฃู†ุง ุนุดุงู† ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
854
+
855
+ 257
856
+ 00:25:03,840 --> 00:25:04,460
857
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
858
+
859
+ 258
860
+ 00:25:04,460 --> 00:25:06,960
861
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
862
+
863
+ 259
864
+ 00:25:06,960 --> 00:25:07,620
865
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
866
+
867
+ 260
868
+ 00:25:07,620 --> 00:25:13,040
869
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
870
+
871
+ 261
872
+ 00:25:13,040 --> 00:25:15,040
873
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
874
+
875
+ 262
876
+ 00:25:15,040 --> 00:25:15,080
877
+ ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง ุฃู†ุง
878
+
879
+ 263
880
+ 00:25:15,080 --> 00:25:26,800
881
+ ุฃู†ุง ุฃู†ุง
882
+
883
+ 264
884
+ 00:25:37,290 --> 00:25:44,570
885
+ ุงู„ุขู† ุชุทู„ุนูˆุง ุนู†ุฏูŠ ู„ูˆ ูƒุงู†.. ู„ูˆ ูƒุงู† ุงู„ุฌู‡ุงุฒ.. ู„ูˆ ูƒุงู†
886
+
887
+ 265
888
+ 00:25:44,570 --> 00:25:50,110
889
+ ุงู„ุฌู‡ุงุฒ perfect ู…ุฆุฉ ุจุงู„ู…ุฆุฉ ู…ุง ูŠูุด ููŠู‡ error ุงู„ู…ูุฑูˆุถ ู„ูˆ
890
+
891
+ 266
892
+ 00:25:50,110 --> 00:25:57,570
893
+ ุญูƒูŠุชู‡ุง ุฏูŠ x ู‡ุฐู‡ y ุงู„ู…ูุฑูˆุถ y ุชุณุงูˆูŠ x ูŠุนู†ูŠ ุฅุฐุง ู‡ุฐุง
894
+
895
+ 267
896
+ 00:25:57,570 --> 00:26:04,390
897
+ perfect ุฅุฐุง ูƒุงู†ุช ุงู„ุญู‚ูŠู‚ูŠุฉ zero ู‡ุชุทู„ุน zero ุฅุฐุง ู‡ุฐู‡
898
+
899
+ 268
900
+ 00:26:04,390 --> 00:26:11,920
901
+ ุนุดุฑูŠู† ู‡ุชุทู„ุน ุนุดุฑูŠู† ุงู„ุฒูŠุงุฏุฉ ุฃุฑุจุนูŠู† ู‡ุชุทู„ุน ุฃุฑุจุนูŠู† ู„ูƒู† ู…ุด
902
+
903
+ 269
904
+ 00:26:11,920 --> 00:26:15,480
905
+ perfect ููŠู‡ ุงุฎุชู„ุงู ููˆุงุถุญ ุฃู† ุนู†ุฏูŠ ุทู„ุน ุงู„ุงุณู„ูˆุจ
906
+
907
+ 270
908
+ 00:26:15,480 --> 00:26:25,320
909
+ ุงู„ุญู‚ูŠู‚ูŠ ู‡ุฐุง y ุฏูŠ ุงุณู…ู‡ ideal ุงู„ู€ y ุงู„ู€ real ุจุงู„ุฃุณุงุณ
910
+
911
+ 271
912
+ 00:26:25,320 --> 00:26:36,420
913
+ ู‡ูŠ ูˆุงุญุฏ point 0 0 ุซู„ุงุซุฉ ุงุซู†ูŠู† x minus point 0
914
+
915
+ 272
916
+ 00:26:39,700 --> 00:26:48,940
917
+ ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ due to calibration ุงุณุชุทุนู†ุง
918
+
919
+ 273
920
+ 00:26:48,940 --> 00:26:55,640
921
+ ุฃู† ู†ู‚ุงุฑู† ูˆุทู„ุนู†ุง ู…ุนุงุฏู„ุฉ curve fit ุจูŠู† ุงู„ู€
922
+
923
+ 274
924
+ 00:26:55,640 --> 00:27:04,080
925
+ observed value ูˆุงู„ู€ standard value ู„ุงุญุธูˆุง ู‡ู†ุง ุนู†ุฏูŠ
926
+
927
+ 275
928
+ 00:27:04,080 --> 00:27:07,920
929
+ ุงู„ู€ minus point ุฎู…ุณุฉ zero point ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ ุฅูŠุด ู‡ุฐู‡
930
+
931
+ 276
932
+ 00:27:07,920 --> 00:27:08,500
933
+ ุชู…ุซู„
934
+
935
+ 277
936
+ 00:27:11,150 --> 00:27:14,190
937
+ physically ุตุญูŠุญ ุงู„ู€ y intercept ุงู„ู…ูุฑูˆุถ ู‡ูˆ ูŠู†ุฒู„ ุนู„ู‰
938
+
939
+ 278
940
+ 00:27:14,190 --> 00:27:18,050
941
+ ุงู„ุตูุฑ ู„ูƒู† ู‡ูˆ ู…ุง ู†ุฒู„ุด ุนู„ู‰ ุงู„ุตูุฑ ู†ุฒู„ ุชุญุช ุงู„ุตูุฑ ุดูˆูŠุฉ
942
+
943
+ 279
944
+ 00:27:18,050 --> 00:27:26,750
945
+ ูŠุนู†ูŠ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ุงู„ู€ standard ูŠูƒูˆู† ุฅูŠุด ุฒูŠ ู‡ูŠูƒ ู‡ูŠูƒ ู‡ุฐุง
946
+
947
+ 280
948
+ 00:27:26,750 --> 00:27:31,650
949
+ ุงู„ู€ perfect ู„ูƒู† ุงู„ุฅูŠุด ู…ุด perfect ู„ุญุธุฉ ุงู„ู€ slope ุฃูƒุซุฑ
950
+
951
+ 281
952
+ 00:27:31,650 --> 00:27:39,830
953
+ ู…ู† ูˆุงุญุฏ ู…ุนู†ุงุชู‡ ู‡ูŠูƒูˆู† ุฅูŠุด ุฒูŠ ู‡ูŠูƒ ู‡ุฐุง
954
+
955
+ 282
956
+ 00:27:41,470 --> 00:27:53,310
957
+ ุงู„ู€ Ideal ู‡ุฐุง ุฅูŠู‡ ุงู„ู€ Actual ููŠู† ุฏูŠ Offset ู‡ุฐุง
958
+
959
+ 283
960
+ 00:27:53,310 --> 00:27:56,130
961
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Zero ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Intercept ูุนู„ุง ู‡ูˆ ุงู„ู€
962
+
963
+ 284
964
+ 00:27:56,130 --> 00:28:03,510
965
+ Zero Offset ู‡ุฐุง
966
+
967
+ 285
968
+ 00:28:03,510 --> 00:28:07,710
969
+ ุฏูŠ ุงู„ู€ calibration ู‡ุฐุง ุงู„ู€ Zero Offset ูˆุงุถุญ ุฏุงุฆู…ุง
970
+
971
+ 286
972
+ 00:28:07,710 --> 00:28:11,990
973
+ ุจูŠุตูŠุฑ shifting ุจ.. ุจ.. ุจ.. ุจ.. ู‡ุฐุง ุจูŠุณู…ู‘ูŠู‡ ุงู„ู€
974
+
975
+ 287
976
+ 00:28:11,990 --> 00:28:19,750
977
+ patient ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ู€ zero offset ุงู„ุขู†
978
+
979
+ 288
980
+ 00:28:19,750 --> 00:28:28,790
981
+ ู„ูˆ ุขุฌูŠ ุฃุทุฑุญ ู‡ุฐู‡ ู…ู† ู‡ุฐู‡ ูˆู‡ูŠ ุฑูŠุงู„ ู†ุณู…ู‘ูŠู‡ุง ูˆู‡ูŠ
982
+
983
+ 289
984
+ 00:28:28,790 --> 00:28:29,150
985
+ ุฑูŠุงู„
986
+
987
+ 290
988
+ 00:28:43,390 --> 00:28:49,030
989
+ delta y so
990
+
991
+ 291
992
+ 00:28:49,030 --> 00:28:58,430
993
+ y real minus y ideal ู‡ุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ูŠ ูˆุงุญุฏ
994
+
995
+ 292
996
+ 00:28:58,430 --> 00:29:06,570
997
+ point 0 0 ุซู„ุงุซุฉ ุงุซู†ูŠู† x minus point 0 ุฎู…ุณุฉ ุณุชุฉ
998
+
999
+ 293
1000
+ 00:29:06,570 --> 00:29:12,090
1001
+ ุฎู…ุณุฉ minus x ูŠุนู†ูŠ
1002
+
1003
+ 294
1004
+ 00:29:12,090 --> 00:29:12,710
1005
+ ู‡ูŠุณุงูˆูŠ
1006
+
1007
+ 295
1008
+ 00:29:18,870 --> 00:29:37,570
1009
+ ุฃูˆ ุญุณุงุจ ู…ุจุงุดุฑุฉ ูŠุนู†ูŠ
1010
+
1011
+ 296
1012
+ 00:29:37,570 --> 00:29:41,590
1013
+ ู„ูˆ ุจุฏูŠ ุฃุนู…ู„ adjustment ู„ูˆ ุจุฏูŠ ุฃุนู…ู„ adjustment ุจุฏูŠ
1014
+
1015
+ 297
1016
+ 00:29:41,590 --> 00:29:51,970
1017
+ ุฃูƒุชุจ ู‡ูŠ ุนู†ุฏ ุงู„ู€ y real ุจูŠุณุงูˆูŠ 1.0032x-.0565
1018
+
1019
+ 298
1020
+ 00:29:51,970 --> 00:30:01,590
1021
+ ูˆุงู„ู€ y ideal ุจูŠุณุงูˆูŠ x ู…ู…ูƒู† ุฃู†ุง ุฃุนู…ู„ ุฒูŠ algorithm
1022
+
1023
+ 299
1024
+ 00:30:01,590 --> 00:30:06,740
1025
+ ูŠุนู†ูŠ ู‡ุฐุง ููŠ ูƒุฐุง ุทุฑูŠู‚ุฉ ุฅู† ูˆุฃู†ุง ุนุดุงู† ุฃุฎู„ูŠ ุฃุนู…ู„
1026
+
1027
+ 300
1028
+ 00:30:06,740 --> 00:30:10,740
1029
+ calibration ู„ู„ุฌู‡ุงุฒ ูŠุทูŠู†ูŠ ู‚ุฑุงุกุงุช ุฃูƒุซุฑ ุฏู‚ุฉ ู…ู…ูƒู† ุฃุญูƒูŠ
1030
+
1031
+ 301
1032
+ 00:30:10,740 --> 00:30:23,880
1033
+ ุงู„ุชุงู„ูŠ ุฃุถูŠู add ูˆุงุญุฏ point 0 ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ to y
1034
+
1035
+ 302
1036
+ 00:30:23,880 --> 00:30:29,540
1037
+ real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง
1038
+
1039
+ 303
1040
+ 00:30:29,540 --> 00:30:29,760
1041
+ ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real
1042
+
1043
+ 304
1044
+ 00:30:29,760 --> 00:30:30,040
1045
+ ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y
1046
+
1047
+ 305
1048
+ 00:30:30,040 --> 00:30:31,220
1049
+ real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง
1050
+
1051
+ 306
1052
+ 00:30:31,220 --> 00:30:32,980
1053
+ ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real
1054
+
1055
+ 307
1056
+ 00:30:32,980 --> 00:30:33,900
1057
+ ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y real ู…ุนู†ุงู‡ุง ุชุญูƒูŠ y
1058
+
1059
+ 308
1060
+ 00:30:33,900 --> 00:30:40,820
1061
+ real ู…ุนู†ุงู‡ุง 1.0032xx
1062
+
1063
+ 309
1064
+ 00:30:40,820 --> 00:30:45,420
1065
+ ู…ุซู„ุง ุจุนุฏูŠู†
1066
+
1067
+ 310
1068
+ 00:30:45,420 --> 00:30:51,200
1069
+ ู…ุซู„ุง ู†ุญูƒูŠ ู„ู‡ divide y
1070
+
1071
+ 311
1072
+ 00:30:51,200 --> 00:30:59,840
1073
+ real prime by 1.0032 ูŠุตุจุญ y real prime
1074
+
1075
+ 312
1076
+ 00:31:04,250 --> 00:31:10,090
1077
+ x ุทุจุนุง ู…ุด ู‡ุชุทู„ุน x ุณูŠุฆุฉ ูู…ู…ูƒู† ู‡ุฐู‡ ุทุฑูŠู‚ุฉ ุงู„ู€
1078
+
1079
+ 313
1080
+ 00:31:10,090 --> 00:31:11,630
1081
+ calibration ุฃุญูƒูŠ ุงู„ู„ู‡ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ adjustment
1082
+
1083
+ 314
1084
+ 00:31:11,630 --> 00:31:17,630
1085
+ ู„ุฌู‡ุงุฒ ูŠูƒูˆู† ุฌู‡ุงุฒ ู‚ุงุจู„ ู„ู„ุจุฑู…ุฌุฉ ุฃุญูƒูŠู„ู‡ ู…ู† ูƒู„ ู‚ุฑุงุกุฉ ุฃูˆู„
1086
+
1087
+ 315
1088
+ 00:31:17,630 --> 00:31:26,590
1089
+ ุดูŠุก step one ุจุชุฎู„ุต ู…ู† ุงู„ุดูŠุก ู…ู† ุงู„ู€ zero offset ุฃุถูŠู ู„ู‡
1090
+
1091
+ 316
1092
+ 00:31:26,590 --> 00:31:33,180
1093
+ ู‡ุฐุง ุจุนุฏูŠู† ุงู„ู€ slope ุจุฏูŠ ุฃุฎู„ูŠู‡ ูˆุงุญุฏ ุจู‚ุณู… ุนู„ูŠู‡ ู‡ุฐุง slope
1094
+
1095
+ 317
1096
+ 00:31:33,180 --> 00:31:39,660
1097
+ ุจุณ ูŠุทู„ุน ูˆุงุญุฏ this is to calibrate to adjust ุงู„ู€
1098
+
1099
+ 318
1100
+ 00:31:39,660 --> 00:31:48,500
1101
+ device ุนุดุงู† ูŠู‚ุชุฑุจ ู‚ุฑุงุกุชู‡ ู…ู† ุงู„ู€ true value ุทุจุนุง ู…ุด
1102
+
1103
+ 319
1104
+ 00:31:48,500 --> 00:31:53,040
1105
+ ู‡ูŠุตูู„ ุงู„ู€ true value ุจุณ ู‡ูŠุตูŠุฑ ู‚ุฑูŠุจ ุฌุฏุง ู…ู† ุงู„ู€ true
1106
+
1107
+ 320
1108
+ 00:31:53,040 --> 00:31:57,600
1109
+ value ู„ุฃู† ู‡ุฐุง ู‡ูŠ calibration ูŠุนู†ูŠ ุฃู†ุช ุงุชุฎุฐุช ุฎุทูˆุงุช
1110
+
1111
+ 321
1112
+ 00:31:57,600 --> 00:32:00,740
1113
+ ุญุณุงุจูŠุฉ ุงุชุฎุฐุช ุฎุทูˆุงุช ุญุณุงุจูŠุฉ ู„ูƒู† ููŠ ุงู„ุขุฎุฑ ุญุทูˆุง ุนู„ูŠ
1114
+
1115
+ 322
1116
+ 00:32:00,740 --> 00:32:07,540
1117
+ ูˆุฒู† ุฃูˆุฒู† ู‡ูˆ ู…ุด ู‡ูŠุชุจุน ู‡ุฐุง 100% ู…ุน ุฅู† ุฃู†ุง ุนู…๏ฟฝ๏ฟฝุช ุงู„ู€
1118
+
1119
+ 323
1120
+ 00:32:07,540 --> 00:32:15,880
1121
+ calibration ุจุณ ู‡ู‚ู„ู„ ุงู„ุงุจุชุนุงุฏ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
1122
+
1123
+ 324
1124
+ 00:32:15,880 --> 00:32:33,720
1125
+ ุทูŠุจ
1126
+
1127
+ 325
1128
+ 00:32:49,480 --> 00:32:54,540
1129
+ ู…ุนู†ุงุชู‡ ุงู„ู€ calibration ุบูŠุฑ ุฏู‚ูŠู‚ุฉ
1130
+
1131
+ 326
1132
+ 00:32:54,540 --> 00:32:58,380
1133
+ ุงู„ุฎุทุฃ ููŠ ุงู„ู…ุนุงูŠุฑุฉ is another common source of bias
1134
+
1135
+ 327
1136
+ 00:32:58,380 --> 00:33:03,500
1137
+ ุบูŠุฑ ุฏู‚ูŠู‚ุฉ ูˆุดูˆูู†ุง ูƒูŠู ุงู„ู€ zero offset ู‡ูƒุฐุง ุงู„ู€
1138
+
1139
+ 328
1140
+ 00:33:03,500 --> 00:33:05,880
1141
+ calibration requires a reference or standard
1142
+
1143
+ 329
1144
+ 00:33:05,880 --> 00:33:10,600
1145
+ against which system response is measured or is
1146
+
1147
+ 330
1148
+ 00:33:10,600 --> 00:33:17,870
1149
+ compared reference may be fixed or one valued ููŠ
1150
+
1151
+ 331
1152
+ 00:33:17,870 --> 00:33:20,590
1153
+ ุงู„ุญุงู„ุฉ ุงุญู†ุง ุนู…ู„ู†ุงู‡ุง fixed ูˆู„ุง variableุŸ ูƒู†ุช ุฃุบูŠุฑ
1154
+
1155
+ 332
1156
+ 00:33:20,590 --> 00:33:28,280
1157
+ ุงู„ุฃูˆุฒุงู† ู„ูƒู† ููŠ ุฃุญูŠุงู† ุซุงู†ูŠุฉ ูˆูƒุงู†ุช one value ุฒูŠ one
1158
+
1159
+ 333
1160
+ 00:33:28,280 --> 00:33:30,820
1161
+ value ููŠ ุญุงู„ุฉ ุงู„ู€ temperature scaleุŒ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ
1162
+
1163
+ 334
1164
+ 00:33:30,820 --> 00:33:33,800
1165
+ ุงู„ู€ reference ุนู†ุฏู†ุง ู…ู…ูƒู† ูŠูƒูˆู† ุฅูŠุดุŸ ุงู„ู€ triple point
1166
+
1167
+ 335
1168
+ 00:33:33,800 --> 00:33:37,160
1169
+ ู„ู„ู…ูŠุงู‡ุŒ triple point ู„ู„ู…ูŠุงู‡ ู‡ูŠ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู†
1170
+
1171
+ 336
1172
+ 00:33:37,160 --> 00:33:41,520
1173
+ ุงู„ู…ูŠุงู‡ ููŠ ุฅุญุฏู‰ ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุงุฆู„ุฉ ุฃูˆ ุงู„ุบุงุฒูŠุฉ ุฃูˆ
1174
+
1175
+ 337
1176
+ 00:33:41,520 --> 00:33:45,380
1177
+ ุงู„ุตู„ุจุฉ ุฃูˆ ุงู„ู€ triple point ุฃูˆ ุงู„ู€ melting point for
1178
+
1179
+ 338
1180
+ 00:33:45,380 --> 00:33:48,420
1181
+ other materials ุฒูŠ ุงู„ุฒู†ูƒ ูˆุงู„ุฃู„ู…ูˆู†ูŠูˆู… ูˆุงู„ุฐู‡ุจ ูˆ
1182
+
1183
+ 339
1184
+ 00:33:48,420 --> 00:33:48,920
1185
+ ุงู„ุฎ
1186
+
1187
+ 340
1188
+ 00:33:56,170 --> 00:34:00,630
1189
+ uncertainty of the standard should be considerably
1190
+
1191
+ 341
1192
+ 00:34:00,630 --> 00:34:03,550
1193
+ less than that of the system being calibrated ุฃู†ุง
1194
+
1195
+ 342
1196
+ 00:34:03,550 --> 00:34:10,050
1197
+ ุจุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ ุจุงุณุชุฎุฏุงู… ุฌู‡ุงุฒ ุฏู‚ูŠู‚ ุนุดุงู† ุฃุนูŠุฑู‡ ุตุญ
1198
+
1199
+ 343
1200
+ 00:34:10,050 --> 00:34:15,330
1201
+ ู„ุงุฒู… ู†ุณุจุฉ ุงู„ุฎุทุฃ ุฃูˆ ุงู„ุฎุทุฃ ููŠ ุฌู‡ุงุฒ ุงู„ู…ุนุงูŠุฑุฉ ุชูƒูˆู†
1202
+
1203
+ 344
1204
+ 00:34:15,330 --> 00:34:18,850
1205
+ ุฃู‚ู„ ุจูƒุซูŠุฑ ู…ู† ุงู„ุฎุทุฃ ููŠ ุงู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุงู„ู„ูŠ ุจุฏู‡
1206
+
1207
+ 345
1208
+ 00:34:18,850 --> 00:34:24,380
1209
+ ุฃุนูŠุฑู‡ as a rule of thumb ูƒู‚ุงู†ูˆู† uncertainty of the
1210
+
1211
+ 346
1212
+ 00:34:24,380 --> 00:34:27,400
1213
+ standard device that will be used in calibrating
1214
+
1215
+ 347
1216
+ 00:34:27,400 --> 00:34:32,220
1217
+ our device should be no more than one tenth that
1218
+
1219
+ 348
1220
+ 00:34:32,220 --> 00:34:37,000
1221
+ of the system being considered ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุง ู…ูŠุฒุงู†
1222
+
1223
+ 349
1224
+ 00:34:37,000 --> 00:34:44,540
1225
+ ุจุฏูŠ ุฃุนูŠุฑู‡ ุงู„ู€ uncertainty ููŠู‡ ู…ุซู„ุง ูˆุงุญุฏ ุจุงู„ู…ุฆุฉ ุงู„ุฎุทุฃ
1226
+
1227
+ 350
1228
+ 00:34:44,540 --> 00:34:50,280
1229
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ุณุชุฎุฏู…ู‡ ููŠ ุงู„ู…ุนุงูŠุฑุฉ ู…ุด ู„ุงุฒู… ุชูƒูˆู† ุฃูˆ
1230
+
1231
+ 351
1232
+ 00:34:50,280 --> 00:34:54,680
1233
+ ู„ุงุฒู… ุชูƒูˆู† ู†ุณุจุฉ ุงู„ุฎุทุฃ ุฃูˆ ุงู„ู€ uncertainty ููŠู‡ ุฃู‚ู„ ู…ู†
1234
+
1235
+ 352
1236
+ 00:34:54,680 --> 00:35:05,900
1237
+ point ูˆุงุญุฏ ุจุงู„ู…ุฆุฉ ุนุดุงู† ุฃุทู„ุน ู†ุชุงุฆุฌ ู…ุนุชุจุฑุฉ ู‡ุฐุง
1238
+
1239
+ 353
1240
+ 00:35:05,900 --> 00:35:13,980
1241
+ ุญูƒูŠู†ุงู‡ุง instrument manufacturers ุงู„ู…ุตู†ุนูŠู† ู„ู„ุฃุฌู‡ุฒุฉ
1242
+
1243
+ 354
1244
+ 00:35:13,980 --> 00:35:18,550
1245
+ ุงู„ู‚ูŠุงุณ ุนุงุฏุฉ ุจูŠุนุทูˆุง calibration data with their
1246
+
1247
+ 355
1248
+ 00:35:18,550 --> 00:35:23,550
1249
+ products ุงู„ู„ูŠ ู…ู…ูƒู† ุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ uncertainty
1250
+
1251
+ 356
1252
+ 00:35:23,550 --> 00:35:30,840
1253
+ ููŠ ุงู„ุฌู‡ุงุฒ ูŠุนู†ูŠ ุฅุฐุง ุฏุฎู„ุช ุนู„ู‰ ุงู„ู€ net ูˆุดูุช ุงุณู…ู‡
1254
+
1255
+ 357
1256
+ 00:35:30,840 --> 00:35:36,340
1257
+ digital multimeter ุฃูˆ ุดูุช caliber ุฏุฎู„ุช ุนู„ู‰ ุดุฑูƒุงุช
1258
+
1259
+ 358
1260
+ 00:35:36,340 --> 00:35:40,320
1261
+ ู…ุดู‡ูˆุฑุฉ ู…ุฏู‘ูˆุฑ ุจุฏูƒ ุชุดูˆูู‡ุง ุฅู† ุฏูŠ ุดุฑูƒุฉ caliber ูˆุฏุฎู„ุช ุนู„ู‰
1262
+
1263
+ 359
1264
+ 00:35:40,320 --> 00:35:43,220
1265
+ ุงู„ูƒุชุงู„ูˆุฌ ุฃูˆ ุงู„ู€ data sheet ุจุชุงุนุชู‡ุง ู‡ูŠูƒูˆู† ู…ุนุทูŠูƒ
1266
+
1267
+ 360
1268
+ 00:35:43,220 --> 00:35:46,440
1269
+ ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„ู€ uncertainty ู‡ูŠูƒูˆู†.. ู‡ูŠูƒูŠุฏ ู…ุนุทูŠูƒ ุงู„ู„ูŠ
1270
+
1271
+ 361
1272
+ 00:35:46,440 --> 00:35:51,120
1273
+ ู‡ูŠ ุงู„ู€ linearity ุงู„ู€ zero offset ุงู„ู€.. ุงู„ู€.. ุงู„ู€
1274
+
1275
+ 362
1276
+ 00:35:51,120 --> 00:35:57,430
1277
+ linearity ุงู„ู€ zero offset ูˆ ุงู„ู€ hysteresis ูุงู„ู…ุนู„ูˆู…ุงุช
1278
+
1279
+ 363
1280
+ 00:35:57,430 --> 00:36:00,970
1281
+ ู‡ุฐู‡ ุจุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ ุงู„ู€ uncertainty ููŠ ุงู„ู€ device
1282
+
1283
+ 364
1284
+ 00:36:00,970 --> 00:36:05,870
1285
+ ุงู„ู„ูŠ ุฃู†ุง ุดุงุฑูŠู‡ ุทูŠุจ
1286
+
1287
+ 365
1288
+ 00:36:05,870 --> 00:36:12,210
1289
+ ู„ุฃู† ุงู„ู…ูˆุถูˆุน ุงู„ุฌุฏูŠุฏ ู„ุฃู† so far ุงุญู†ุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€
1290
+
1291
+ 366
1292
+ 00:36:12,210 --> 00:36:17,330
1293
+ bias uncertainty ุงู„ู€ bias uncertainty ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€
1294
+
1295
+ 367
1296
+ 00:36:17,330 --> 00:36:22,240
1297
+ precision uncertainty ุงู„ู€ precision ุฃู†ุง ุจู‚ูŠุณ ุจุฃุฎุฐ
1298
+
1299
+ 368
1300
+ 00:36:22,240 --> 00:36:25,800
1301
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจุฃุฎุฐู‡ุง ู…ู† ุฌู‡ุงุฒ ู…ุนูŠู† ุนู† ุงู„ู€ value
1302
+
1303
+ 369
1304
+ 00:36:25,800 --> 00:36:29,200
1305
+ ุงู„ุฑูŠุงู„ ุฃู†ุง ุฃุฎุฏุช ู…ุซู„ุง ู…ุฆุฉ ู‚ุฑุงุกุฉ ุจุนุฏ ุฃู† ุฃุฎุฐุช ุงู„ู…ุฆุฉ
1306
+
1307
+ 370
1308
+ 00:36:29,200 --> 00:36:32,560
1309
+ ู‚ุฑุงุกุฉ ุฃุฎุฐุช ู„ู‡ู… ุงู„ู€ average ุจุนุฏู‡ุง ุญุณุจุช ุงู„ู€ standard
1310
+
1311
+ 371
1312
+ 00:36:32,560 --> 00:36:35,340
1313
+ deviation ุงู„ู€ standard deviation from the mean
1314
+
1315
+ 372
1316
+ 00:36:35,340 --> 00:36:39,900
1317
+ ู…ุนู†ุงู‡ ุงู„ู€ precision ุจูŠุนุทูŠู†ุง ุงู„ุงู‚ุชุฑุงุจ ุฃูˆ ุงู„ุงุจุชุนุงุฏ ุนู†
1318
+
1319
+ 373
1320
+ 00:36:39,900 --> 00:36:44,220
1321
+ ุงู„ู€ mean value ู…ุด ุงู„ู€ true value ูŠุนู†ูŠ ุงู„ู€ precision
1322
+
1323
+ 374
1324
+ 00:36:44,220 --> 00:36:51,370
1325
+ ุจุชู…ุซู„ ู…ุซู„ how spread we have around ุงู„ู€ central
1326
+
1327
+ 375
1328
+ 00:36:51,370 --> 00:36:56,030
1329
+ value ุฅุฐุง ุงู„ู€ mean value ู…ุซู„ุง ูƒู„ ู…ุง.. ู…ุง ู‚ู„ ุงู„ู€
1330
+
1331
+ 376
1332
+ 00:36:56,030 --> 00:37:00,650
1333
+ band ู…ุนู†ุงุชู‡ I have precise.. I have precise
1334
+
1335
+ 377
1336
+ 00:37:00,650 --> 00:37:05,630
1337
+ measurement ููŠ ูุฑู‚ ุฅุญู†ุง ู†ุชูƒู„ู… ุจูŠู† ุงู„ู€ precision ูˆุงู„ู€
1338
+
1339
+ 378
1340
+ 00:37:05,630 --> 00:37:09,150
1341
+ ุงู„ู€ accuracy ุงู„ู€ accuracy ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ true value
1342
+
1343
+ 379
1344
+ 00:37:09,150 --> 00:37:13,250
1345
+ ุฃูˆ ุชู…ุซู„ how far.. how far our measurement from
1346
+
1347
+ 380
1348
+ 00:37:13,250 --> 00:37:17,510
1349
+ the true value precision how far is the measurement
1350
+
1351
+ 381
1352
+ 00:37:17,510 --> 00:37:20,350
1353
+ from a central mean value of the same device
1354
+
1355
+ 382
1356
+ 00:37:20,350 --> 00:37:30,910
1357
+ ูˆุญูƒูŠู†ุงู‡ุง ููŠ ุงู„ุณุงุจู‚ ุทูŠุจ
1358
+
1359
+ 383
1360
+ 00:37:30,910 --> 00:37:36,290
1361
+ when only one when only one two or three ุฅุฐุง ุฃู†ุง
1362
+
1363
+ 384
1364
+ 00:37:36,290 --> 00:37:38,770
1365
+ ุจุฃุฎุฐ ู‚ุฑุงุกุฉ ุฃูˆ ู‚ุฑุงุกุชูŠู† ุฃูˆ ุซู„ุงุซ ู‚ุฑุงุกุงุช ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุงุช
1366
+
1367
+ 385
1368
+ 00:37:38,770 --> 00:37:39,450
1369
+ ุตุบูŠุฑุฉ ุฌุฏุง
1370
+
1371
+ 386
1372
+ 00:37:45,030 --> 00:37:48,050
1373
+ the confidence in terrorists calculated can be
1374
+
1375
+ 387
1376
+ 00:37:48,050 --> 00:37:53,170
1377
+ quite large ุฅุญู†ุง ุญูƒูŠู†ุง ูƒู„ ู…ุง ู†ุฒูˆุฏ ุงู„ู€ confidence in
1378
+
1379
+ 388
1380
+ 00:37:53,170 --> 00:37:57,650
1381
+ terrorists ูˆุญู„ูŠู†ุงู‡ุง ุจู…ุซุงู„ ุจูŠูƒูˆู†
1382
+
1383
+ 389
1384
+ 00:37:57,650 --> 00:38:04,170
1385
+ ุนู†ุฏ ุงู„ู€.. ุงู„ู€.. ุงู„ู€ uncertainty ุจุงู„ุฒูŠุงุฏุฉ ูŠุนู†ูŠ ูˆุงุญุฏ
1386
+
1387
+ 390
1388
+ 00:38:04,170 --> 00:38:08,310
1389
+ ุจูŠุจูŠุน ุจู„ูˆูƒุงุช
1390
+
1391
+ 391
1392
+ 00:38:08,310 --> 00:38:14,430
1393
+ ุฃูˆ ุจูŠุจูŠุน ุทุงูˆู„ุงุช ุจุญูƒูŠู„ูƒ ุฃู†ุง ุจุจูŠุน ุงู„ุทุงูˆู„ุฉ ู‡ุฐู‡ ุทูˆู„ู‡ุง
1394
+
1395
+ 392
1396
+ 00:38:14,430 --> 00:38:23,430
1397
+ ุงู„ุทุงูˆู„ุฉ ู…ุฆุฉ ุณู… plus or minus ูˆุงุญุฏ ุณู… ุชุณุนุฉ
1398
+
1399
+ 393
1400
+ 00:38:23,430 --> 00:38:29,990
1401
+ ูˆ ุชุณุนูŠู† ุจุงู„ู…ุฆุฉ ู…ุชุฃูƒุฏ ู…ุชูŠู‚ู† ุฏุฑุฌุฉ ุชูŠู‚ู† ูˆุงุญุฏ ุซุงู†ูŠ
1402
+
1403
+ 394
1404
+ 00:38:29,990 --> 00:38:33,770
1405
+ ุทุจุนุง ุฅุฐุง ู‡ูˆ ุจุฏู‡ ูŠุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุฅู† ุทุงูˆู„ุฉ ุทูˆู„ู‡ุง ู…ุฆุฉ
1406
+
1407
+ 395
1408
+ 00:38:33,770 --> 00:38:41,420
1409
+ ุณู… ุฒูŠุงุฏุฉ ุฃูˆ ู†ุงู‚ุต point one ุณู… ู‡ุชุชูˆู‚ุน ุฏุฑุฌุฉ ุชูŠู‚ู†
1410
+
1411
+ 396
1412
+ 00:38:41,420 --> 00:38:46,960
1413
+ ุฃุฒูŠุฏ ูˆู„ุง ุชู‚ู„ุŸ ู‡ุชู‚ู„ ุฃูƒูŠุฏ ูุจุงู„ุชุงู„ูŠ ุญุงูƒูŠ ู„ูŠู‡ุŸ ุจุฏุฑุฌุฉ
1414
+
1415
+ 397
1416
+ 00:38:46,960 --> 00:38:50,520
1417
+ ุชูŠู‚ู† ุณุจุนูŠู† ุจุงู„ู…ุฆุฉุŒ ุจุงู„ุชุงู„ูŠ ูƒู„ ู…ุง ุงู„ู€ answer ุชู†ุชู‡ูŠ
1418
+
1419
+ 398
1420
+ 00:38:50,520 --> 00:38:56,880
1421
+ ุจุงู„ุฒูŠุงุฏุฉ ูƒู„ ู…ุง ุงู„ู€ range ุจุชุงุน ุงู„ุชูŠู‚ู† ุจุชูˆุณุน ููŠ ู‡ุฐู‡
1422
+
1423
+ 399
1424
+ 00:38:56,880 --> 00:39:02,070
1425
+ ุงู„ุญุงู„ุฉ you may determine a narrow range of the mean
1426
+
1427
+ 400
1428
+ 00:39:02,070 --> 00:39:04,350
1429
+ value by treating precision errors ู…ู…ูƒู† ุฃุชุนุงู…ู„
1430
+
1431
+ 401
1432
+ 00:39:04,350 --> 00:39:06,390
1433
+ ู…ุน precision errors ู„ุฃู† ู…ุง ููŠุด ุนู†ุฏูŠ ุจูŠุงู†ุงุช ูƒุงููŠุฉ
1434
+
1435
+ 402
1436
+ 00:39:06,390 --> 00:39:10,650
1437
+ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุชุนุงู…ู„ุช ู…ุนู‡ุง ููŠ ุงู„ู€ bias errors
1438
+
1439
+ 403
1440
+ 00:39:10,650 --> 00:39:15,070
1441
+ ูŠุนู†ูŠ ุจุญุงูˆู„ ุฃุนู…ู„ estimation less than the deviation
1442
+
1443
+ 404
1444
+ 00:39:15,070 --> 00:39:18,570
1445
+ based on my knowledge of the device under
1446
+
1447
+ 405
1448
+
1449
+ 445
1450
+ 00:42:25,410 --> 00:42:31,270
1451
+ ุงู„ู…ุฆุฉ ูˆุงุซู†ูŠู† ุณูŠุฌู…ุง ุนุดุงู† ุฃูู‚ูŠุณ
1452
+
1453
+ 446
1454
+ 00:42:31,270 --> 00:42:34,470
1455
+ ุงู„ู€ precision with a single reading ุฅุญู†ุง ุญูƒูŠู†ุง
1456
+
1457
+ 447
1458
+ 00:42:34,470 --> 00:42:38,690
1459
+ ุนู†ู‡ุง ู‡ูŠ ุงู„ู€ PXุŒ ุงู„ู€ precision uncertainty
1460
+
1461
+ 448
1462
+ 00:42:41,850 --> 00:42:46,550
1463
+ ุจูŠุณุงูˆูŠ zc ุนู„ู‰ ุงุซู†ูŠู† ููŠ ุงู„ู€ sigma ุนู„ู‰ ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ
1464
+
1465
+ 449
1466
+ 00:42:46,550 --> 00:42:52,310
1467
+ ู„ู„ู€ NุŒ ููŠ ุญุงู„ุฉ ุงู„ู€ N ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุจูŠุตูŠุฑ Px ุจูŠุณุงูˆูŠ zc ุนู„ู‰
1468
+
1469
+ 450
1470
+ 00:42:52,310 --> 00:42:56,790
1471
+ ุงุซู†ูŠู† ููŠ ุงู„ู€ sigma ุนู„ู‰ ุฌุฐุฑ ุงู„ู€ ูˆุงุญุฏ ู‡ูˆ ูˆุงุญุฏ ููŠ
1472
+
1473
+ 451
1474
+ 00:42:56,790 --> 00:43:03,170
1475
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ููŠ ุญุงู„ุฉ ุงู„ู€ confidence ูƒุงู† ุนู†ุฏูŠ ุฎู…ุณุฉ
1476
+
1477
+ 452
1478
+ 00:43:03,170 --> 00:43:09,100
1479
+ ูˆุชุณุนูˆู† ููŠ ุงู„ู…ุฆุฉุŒ ุงู„ู€ C ุจุณูŠุทุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ุนู†ุงุชู‡
1480
+
1481
+ 453
1482
+ 00:43:09,100 --> 00:43:13,420
1483
+ ุงู„ู€ Z point ุชุณุนุฉ ูˆุฎู…ุณุฉ ุนู„ู‰ ุงุซู†ูŠู† ู…ู† ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ
1484
+
1485
+ 454
1486
+ 00:43:13,420 --> 00:43:18,240
1487
+ ูƒู†ุง ู†ุทู„ุนู‡ุงุŒ ูƒุงู… ุจูŠุทู„ุน ูˆุงุญุฏ point ุชุณุนุฉ ูˆุณุชุฉ ู…ุนู†ุงุชู‡ ุงู„ู€
1488
+
1489
+ 455
1490
+ 00:43:18,240 --> 00:43:22,960
1491
+ precision uncertainty ุจุณุงูˆูŠุฉ ูˆุงุญุฏ point ุชุณุนุฉ ูˆุณุชุฉ
1492
+
1493
+ 456
1494
+ 00:43:22,960 --> 00:43:32,100
1495
+ ุณูŠุฌู…ุงุŒ ุทูŠุจ
1496
+
1497
+ 457
1498
+ 00:43:37,650 --> 00:43:41,990
1499
+ the potential precision error underlying a single
1500
+
1501
+ 458
1502
+ 00:43:41,990 --> 00:43:45,210
1503
+ measurementุŒ ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ ู‚ูŠุงุณ ูˆุงุญุฏ
1504
+
1505
+ 459
1506
+ 00:43:45,210 --> 00:43:49,930
1507
+ ุงู„ู€ potential precision error ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ precision
1508
+
1509
+ 460
1510
+ 00:43:49,930 --> 00:43:57,030
1511
+ error ุงู„ู…ุญุชู…ู„ ู„ู‚ุฑุงุกุฉ ู…ุนูŠู†ุฉุŒ ูŠู…ูƒู† ุชู‚ุฏูŠุฑู‡ ุจู†ุงุก ุนู„ู‰
1512
+
1513
+ 461
1514
+ 00:43:57,030 --> 00:44:01,750
1515
+ ู…ุนุฑูุชู†ุง.. ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง how finally the answer
1516
+
1517
+ 462
1518
+ 00:44:01,750 --> 00:44:04,130
1519
+ will resolveุŒ ูŠุนู†ูŠ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง ู„ู„ู€ resolution
1520
+
1521
+ 463
1522
+ 00:44:04,130 --> 00:44:07,990
1523
+ ูŠุนู†ูŠ ุฃู†ุง ู…ุซู„ุงู‹ ุนู†ุฏูŠ caliberุŒ ุนู†ุฏูŠ ู…ุตุฏุฑุฉุŒ ุนู†ุฏูŠ
1524
+
1525
+ 464
1526
+ 00:44:07,990 --> 00:44:10,530
1527
+ micrometerุŒ ูˆุงุถุญ resolution ู…ุฎุชู„ูุŒ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชูŠ
1528
+
1529
+ 465
1530
+ 00:44:10,530 --> 00:44:16,230
1531
+ ู„ู„ู€ resolution ู…ู…ูƒู† ุฃู†ุง ุฃุณุชุทูŠุน ุฃู‚ุฏุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€..
1532
+
1533
+ 466
1534
+ 00:44:16,230 --> 00:44:21,900
1535
+ ุงู„ู€.. ุงู„ู€ uncertainty ุฃูˆ.. ูˆุจุฑุถู‡ ูŠุนู†ูŠ ูŠู…ูƒู† ุชู‚ุฏูŠุฑ
1536
+
1537
+ 467
1538
+ 00:44:21,900 --> 00:44:27,220
1539
+ ุงู„ู€ precision uncertainty on how precisely one may
1540
+
1541
+ 468
1542
+ 00:44:27,220 --> 00:44:30,440
1543
+ repeat a readingุŒ how precisely one may repeat a
1544
+
1545
+ 469
1546
+ 00:44:30,440 --> 00:44:34,040
1547
+ readingุŒ ูŠุนู†ูŠ.. ูŠุนู†ูŠ ุญูƒูŠ ุฅู† ููŠ ุฃู†ุง precise ูˆููŠ
1548
+
1549
+ 470
1550
+ 00:44:34,040 --> 00:44:38,720
1551
+ accurateุŒ precision how far we are from a central
1552
+
1553
+ 471
1554
+ 00:44:38,720 --> 00:44:42,340
1555
+ value ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุฌู‡ุฉ ู‡ุฐู‡ุŒ ูŠุนู†ูŠ ุจูŠู…ุซู„
1556
+
1557
+ 472
1558
+ 00:44:42,340 --> 00:44:46,540
1559
+ ุงู„ู€ spread ุฃูˆ ุงู„ุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู…ุฌู…ูˆุน
1560
+
1561
+ 473
1562
+ 00:44:46,540 --> 00:44:51,430
1563
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ุŒ ุนุงุฏุฉ ู…ู…ูƒู† ูŠูŽุนุทูŠู†ุงู‡ุง ุงู„ู…ุตู†ุน ู„ู„ุฌู‡ุงุฒ
1564
+
1565
+ 474
1566
+ 00:44:51,430 --> 00:44:55,090
1567
+ ุงู„ุฌู‡ุงุฒุŒ ู…ู…ูƒู† ูŠุนุทูŠู†ุง ุงู„ู€ standard deviationุŒ ุงู„ู€ sigma
1568
+
1569
+ 475
1570
+ 00:44:55,090 --> 00:44:59,990
1571
+ ู„ู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ูˆ ุตู†ุงุนุฉ ุงู„ู„ูŠ ู‡ูˆ ู…ุจู†ูŠ ุนู„ู‰ population
1572
+
1573
+ 476
1574
+ 00:44:59,990 --> 00:45:05,570
1575
+ ุจุฑุถู‡ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ู€ precision errors based on how
1576
+
1577
+ 477
1578
+ 00:45:05,570 --> 00:45:09,250
1579
+ much the test conditions fluctuateุŒ ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ
1580
+
1581
+ 478
1582
+ 00:45:09,250 --> 00:45:15,370
1583
+ ุฌู‡ุงุฒ ู‚ุฑุงุกุฉ ูŠุชุฃุซุฑ ุจุงู„ุญุฑุงุฑุฉ ู…ุซู„ุงู‹ุŒ ุจุตูŠุฑ ููŠ ุนู†ุฏูŠ
1584
+
1585
+ 479
1586
+ 00:45:15,370 --> 00:45:19,490
1587
+ fluctuationุŒ ุฅุฐุง ุฃู†ุง ุจูƒูˆู† ุนุงุฑู ูƒูŠู ุงู„ู€ fluctuation
1588
+
1589
+ 480
1590
+ 00:45:19,490 --> 00:45:23,970
1591
+ ุชุชุฐุจุฐุจ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุญุฑุงุฑุฉ ุฃูˆ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุฑุทูˆุจุฉ
1592
+
1593
+ 481
1594
+ 00:45:23,970 --> 00:45:27,670
1595
+ ุฅุฐุง ุจูƒูˆู† ุนุงุฑูุŒ ูู…ู…ูƒู† ุฃู‚ุฏุฑ ู‚ูŠู…ุฉ ุงู„ู€ precision error
1596
+
1597
+ 482
1598
+ 00:45:30,220 --> 00:45:33,520
1599
+ often these estimates can be made in advance of
1600
+
1601
+ 483
1602
+ 00:45:33,520 --> 00:45:37,220
1603
+ performing the experimentุŒ ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ุชู‚ุฏูŠุฑุงุช ูŠุชู…
1604
+
1605
+ 484
1606
+ 00:45:37,220 --> 00:45:44,540
1607
+ ุนู…ู„ู‡ุง ุฃูˆ ุญุณุงุจู‡ุง ุฃูˆ ุชู‚ุฏูŠุฑู‡ุง ุจุดูƒู„ ู…ู‚ุฏู… ุฃูˆ ุจุดูƒู„ ู…ุณุจู‚
1608
+
1609
+ 485
1610
+ 00:45:44,540 --> 00:45:49,080
1611
+ ู‚ุจู„ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉ in order to gauge the expected
1612
+
1613
+ 486
1614
+ 00:45:49,080 --> 00:45:52,500
1615
+ answer to the interviewุŒ ู‡ุฐุง ุทุจุนุงู‹ ุจู‚ุฏุฑู‡ุง ุจุดูƒู„ ู…ุณุจู‚
1616
+
1617
+ 487
1618
+ 00:45:52,500 --> 00:45:59,950
1619
+ ุนุดุงู† ุฃูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุงุช ู„ู„ุฌู‡ุงุฒ
1620
+
1621
+ 488
1622
+ 00:45:59,950 --> 00:46:09,150
1623
+ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุฃูˆ ุงู„ู‚ูŠุงุณ ู…ูˆุถูˆุน
1624
+
1625
+ 489
1626
+ 00:46:09,150 --> 00:46:15,810
1627
+ ุซุงู†ูŠุงู‹ุŒ ุงู„ู€ propagation of uncertaintyุŒ ุนุงุฏุฉู‹ ู…ุซู„ุงู‹ ุนุดุงู†
1628
+
1629
+ 490
1630
+ 00:46:15,810 --> 00:46:21,910
1631
+ ุฃุญุณุจ ุงู„ู€
1632
+
1633
+ 491
1634
+ 00:46:21,910 --> 00:46:29,590
1635
+ densityุŒ ุฑูˆุญู‡ ุฅูŠุด ุจูŠุณุงูˆูŠุŸ mass ุนู„ู‰ volumeุŒ ุนุดุงู† ุงู„ู€
1636
+
1637
+ 492
1638
+ 00:46:29,590 --> 00:46:35,890
1639
+ densityุŒ ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ ุขุฎุฐ ู‚ูŠุงุณูŠู†ุŒ ู‚ุฑุงุกุฉ ู„ู„ู€ mass
1640
+
1641
+ 493
1642
+ 00:46:35,890 --> 00:46:44,830
1643
+ ู‚ุฑุงุกุฉ ู„ู„ู€ volumeุŒ ู„ูƒู† ุฃู†ุง ุฃุณุชุฎุฏู… ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ู€ mass
1644
+
1645
+ 494
1646
+ 00:46:44,830 --> 00:46:49,790
1647
+ ูˆุฃุณุชุฎุฏู… ุฌู‡ุงุฒ ุซุงู†ูŠ ู„ู‚ูŠุงุณ ุงู„ู€ volumeุŒ ููŠ uncertainty
1648
+
1649
+ 495
1650
+ 00:46:49,790 --> 00:46:55,790
1651
+ ููŠ ุงู„ู€ mass ูˆููŠ uncertainty ููŠ ุงู„ู€ volumeุŒ ุงู„ู€
1652
+
1653
+ 496
1654
+ 00:46:55,790 --> 00:47:00,150
1655
+ uncertainty ููŠ ุงู„ู€ mass ูˆุงู„ู€ volume ุงู„ู…ูุฑูˆุถ ุชุนุทูŠู†ูŠ
1656
+
1657
+ 497
1658
+ 00:47:00,150 --> 00:47:05,090
1659
+ uncertainty ููŠ ุงู„ู€ densityุŒ ู„ุฃู† ุฃู†ุง ุงู„ู€ density
1660
+
1661
+ 498
1662
+ 00:47:05,090 --> 00:47:11,270
1663
+ ุจุญุณุจู‡ุงุŒ ุญุณุงุจ ุงู„ู€ mass ูŠุชู… ู‚ูŠุงุณู‡ุŒ ู‚ูŠุงุณู‡ ูˆุงู„ู€ volume
1664
+
1665
+ 499
1666
+ 00:47:11,270 --> 00:47:14,950
1667
+ ูŠุชู… ู‚ูŠุงุณู‡ ูˆุจุงู„ุชุงู„ูŠ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏูŠ ุทุฑูŠู‚ุฉ ุฅู†ู‡ ุฃุญุณุจ
1668
+
1669
+ 500
1670
+ 00:47:15,860 --> 00:47:19,180
1671
+ ุงู„ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ู€ density which is calculated
1672
+
1673
+ 501
1674
+ 00:47:19,180 --> 00:47:23,780
1675
+ based on the knowledge or estimation of ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1676
+
1677
+ 502
1678
+ 00:47:23,780 --> 00:47:33,500
1679
+ uncertainty ููŠ ุงู„ู€ mass ูˆุงู„ู€ volume ุนู„ู‰
1680
+
1681
+ 503
1682
+ 00:47:33,500 --> 00:47:37,340
1683
+ ูุฑุถ ุฃู† ุงู„ู€ uncertainty ููŠ ุงู„ู€ massุŒ ุงู„ุฎุทุฃ ููŠ ุงู„ูƒุชู„ุฉ
1684
+
1685
+ 504
1686
+ 00:47:37,340 --> 00:47:42,000
1687
+ ูˆุงู„ุฎุทุฃ ููŠ ุงู„ู€ volume independentุŒ ูŠุนู†ูŠ ุจูŠุดุชุบู„ูˆุง
1688
+
1689
+ 505
1690
+ 00:47:42,000 --> 00:47:49,010
1691
+ ุจุดูƒู„ ู…ุณุชู‚ู„ุŒ Standard Deviation ููŠ ุงู„ู€ Density ุฏูŠ
1692
+
1693
+ 506
1694
+ 00:47:49,010 --> 00:47:54,310
1695
+ ุจูŠุณุงูˆูŠ
1696
+
1697
+ 507
1698
+ 00:47:54,310 --> 00:48:00,350
1699
+ ู…ุซู„ุงู‹ X1 ุนู„ู‰ X2 ุงู„ู€
1700
+
1701
+ 508
1702
+ 00:48:00,350 --> 00:48:03,730
1703
+ Standard Deviation ููŠ ุงู„ู€ YุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑุงุฏ ุญุณุงุจู‡ุง
1704
+
1705
+ 509
1706
+ 00:48:04,450 --> 00:48:08,230
1707
+ ุจูŠุณุงูˆูŠ ุฌุฐุฑ ุชุฑุจูŠุนูŠ ุฏูŠุŒ ูˆ ุฃูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ูˆุงุญุฏ ุณูŠุฌู…ุง ูˆุงุญุฏ
1708
+
1709
+ 510
1710
+ 00:48:08,230 --> 00:48:11,150
1711
+ ู„ูƒู„ ุชุฑุจูŠุน ุฒูŠ ุฏูŠุŒ ูˆ ุฃูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงุซู†ูŠู† ุณูŠุฌู…ุง ุงุซู†ูŠู†
1712
+
1713
+ 511
1714
+ 00:48:11,150 --> 00:48:15,530
1715
+ ู„ูƒู„ ุชุฑุจูŠุน ุฒูŠ ุฏูŠุŒ ูˆ ุฃูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงู† ุณูŠุฌู…ุง ุงู† ู„ูƒู„
1716
+
1717
+ 512
1718
+ 00:48:15,530 --> 00:48:20,610
1719
+ ุชุฑุจูŠุน ุฅุญู†ุง
1720
+
1721
+ 513
1722
+ 00:48:20,610 --> 00:48:22,750
1723
+ ุญูƒูŠู†ุง ุฃู†ุง ุฃcalculate ุงู„ู€ result ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ ุงู„ู€
1724
+
1725
+ 514
1726
+ 00:48:22,750 --> 00:48:26,680
1727
+ densityุŒ Y is a function of several independent
1728
+
1729
+ 515
1730
+ 00:48:26,680 --> 00:48:32,440
1731
+ measured variables X1, X2, X3 ู„ุญุฏ XnุŒ ูŠุนู†ูŠ ุงู„ุญุงู„ุฉ
1732
+
1733
+ 516
1734
+ 00:48:32,440 --> 00:48:36,820
1735
+ ุฏูŠ ุงู„ู€ density is a function of mass and volume ููŠ
1736
+
1737
+ 517
1738
+ 00:48:36,820 --> 00:48:39,600
1739
+ ุญุงู„ุงุช ุซุงู†ูŠุฉุŒ some other variable ู‡ูŠูƒูˆู† function of
1740
+
1741
+ 518
1742
+ 00:48:39,600 --> 00:48:43,660
1743
+ more than two variablesุŒ Each measured value has
1744
+
1745
+ 519
1746
+ 00:48:43,660 --> 00:48:48,760
1747
+ some uncertaintyุŒ ูŠุนู†ูŠ X1 ูˆX2 ูˆX3 ูˆX4 ูˆู„ุญุฏ XN
1748
+
1749
+ 520
1750
+ 00:48:48,760 --> 00:48:55,440
1751
+ ููŠู‡ุง ู†ุณุจุฉ ุฎุทุฃ U1 U2 UNุŒ ุฅุฐุง ุจุนู…ู„ Taylor expansion
1752
+
1753
+ 521
1754
+ 00:48:55,440 --> 00:49:01,920
1755
+ ุทุจุนุงู‹ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ uncertainty ุตุบูŠุฑุฉ ูƒุชูŠุฑ ู„ู…ุง ุฃุฑุจุนู‡ุง
1756
+
1757
+ 522
1758
+ 00:49:01,920 --> 00:49:06,840
1759
+ ุฃูˆ ุฃูƒุนุจู‡ุง ู…ุซู„ุงู‹ุŒ ุงู„ู€ point O1 ู„ู…ุง ุฃุฑุจุนู‡ุง ุจูŠุตูŠุฑ ูˆุงุญุฏ
1760
+
1761
+ 523
1762
+ 00:49:06,840 --> 00:49:12,930
1763
+ ู…ู† ุนุดุฑุฉ ุขู„ุงูุŒ ู„ุฃู†ู‡ุง ู…ูƒุนู‘ุจุฉ ุจูŠุตูŠุฑ ูˆุงุญุฏ ู…ู† ู…ู„ูŠูˆู†ุŒ ูˆุงุญุฏ ู…ู†
1764
+
1765
+ 524
1766
+ 00:49:12,930 --> 00:49:17,270
1767
+ ู…ู„ูŠูˆู†ุŒ ู ุฃู†ุง I could expand ุงู„ู€ function y ุจู€ x ูˆุงุญุฏ
1768
+
1769
+ 525
1770
+ 00:49:17,270 --> 00:49:20,830
1771
+ ุฒูŠ d ูˆุงุญุฏ ูˆ x ุงุซู†ูŠู† ุฒูŠ d ุงุซู†ูŠู† ูˆ xn ุฒูŠ ynุŒ using
1772
+
1773
+ 526
1774
+ 00:49:20,830 --> 00:49:25,150
1775
+ Taylor expansion ุจูŠุนุทูŠู†ูŠ y is a function of x ูˆุงุญุฏ
1776
+
1777
+ 527
1778
+ 00:49:25,150 --> 00:49:28,950
1779
+ ูˆ x ุงุซู†ูŠู† ูˆ xn ุฒูŠ dy by dx ูˆุงุญุฏ u ูˆุงุญุฏ ุฒูŠ dy by dx
1780
+
1781
+ 528
1782
+ 00:49:28,950 --> 00:49:34,110
1783
+ ุงุซู†ูŠู† u ุงุซู†ูŠู† ุฒูŠ dy by dxn unุŒ ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ูŠ first
1784
+
1785
+ 529
1786
+ 00:49:34,110 --> 00:49:39,390
1787
+ order ููˆู‚ ุงู„ู€ termsุŒ ููŠ second orderุŒ third orderุŒ
1788
+
1789
+ 530
1790
+ 00:49:39,390 --> 00:49:43,750
1791
+ fourth orderุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ุจุฏู„ expansion to infinite
1792
+
1793
+ 531
1794
+ 00:49:43,750 --> 00:49:48,110
1795
+ number of tiersุŒ ุงู„ู€ tiers ุงู„ู€.. ุงู„ู€.. ุงู„ุฏุฑุฌุงุช ุฃุนู„ู‰
1796
+
1797
+ 532
1798
+ 00:49:48,110 --> 00:49:56,100
1799
+ ู…ู† ูˆุงุญุฏุŒ ู„ู…ุง ุชุชุฑุจุน ุฃูˆ ุชุชูƒุนู‘ุจ ุฃูˆ ุชุตุจุญ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ
1800
+
1801
+ 533
1802
+ 00:49:56,100 --> 00:49:59,440
1803
+ ุจูŠุตุจุญ very very smallุŒ ูุจุชู‚ุฑูŠุจ ุจุญูƒูŠ ุฅู† ุงู„ู€ function
1804
+
1805
+ 534
1806
+ 00:49:59,440 --> 00:50:03,580
1807
+ is given by this equation in this caseุŒ ุจูŠูƒูˆู† ุงู„ู€
1808
+
1809
+ 535
1810
+ 00:50:03,580 --> 00:50:07,720
1811
+ total uncertainty ููŠ ุงู„ู€ y which is a function of
1812
+
1813
+ 536
1814
+ 00:50:07,720 --> 00:50:12,400
1815
+ x1ุŒ x2 ูˆ xnุŒ ุจูŠุณุชุนู…ู„ ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠู‡ุง D y ุจุฏูŠ x1ุŒ D y
1816
+
1817
+ 537
1818
+ 00:50:12,400 --> 00:50:13,980
1819
+ ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y
1820
+
1821
+ 538
1822
+ 00:50:13,980 --> 00:50:15,180
1823
+ ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y
1824
+
1825
+ 539
1826
+ 00:50:15,180 --> 00:50:21,450
1827
+ ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ D y ุจุฏูŠ x2ุŒ ุฃู†ุชู…
1828
+
1829
+ 540
1830
+ 00:50:21,450 --> 00:50:25,690
1831
+ ุฃุฎุฐุชูˆุง.. ุฏุฑุณุชูˆุง calculus ุซู„ุงุซุฉุŸ ุฃุฎุฐุชูˆุง ุงู„ู€ Taylor
1832
+
1833
+ 541
1834
+ 00:50:25,690 --> 00:50:30,310
1835
+ expansionุŸ ููŠ calculus ุฏุŒ ุฃุฎุฐุชูˆุง ุงู„ู€.. ุฃุฎุฐุชูˆุง ุงู„ู€
1836
+
1837
+ 542
1838
+ 00:50:30,310 --> 00:50:34,590
1839
+ expansionsุŒ ุฅู† ุฃูŠ function ู…ู…ูƒู† ุชุนุชุจุฑ ุนุจุงุฑุฉ ุนู†
1840
+
1841
+ 543
1842
+ 00:50:34,590 --> 00:50:38,470
1843
+ summation of.. ุฃูˆ some summation of some
1844
+
1845
+ 544
1846
+ 00:50:38,470 --> 00:50:40,630
1847
+ functionsุŒ ุงู„ู„ูŠ ู‡ูŠ Taylor expansion
1848
+
1849
+ 545
1850
+ 00:50:51,480 --> 00:50:56,860
1851
+ ุฎู„ูŠู†ุง ู†ุดูˆู ู…ุซุงู„ุŒ suppose that y has the 4ุŒ ุนู†ุฏูŠ some
1852
+
1853
+ 546
1854
+ 00:50:56,860 --> 00:51:03,300
1855
+ variable y ุจูŠุณุงูˆูŠ
1856
+
1857
+ 547
1858
+ 00:51:03,300 --> 00:51:10,660
1859
+ a x ูˆุงุญุฏ ุฒุงุฆุฏ b x ุงุซู†ูŠู† and that the answer ุชู†ุชุดุฑ
1860
+
1861
+ 548
1862
+ 00:51:10,660 --> 00:51:16,010
1863
+ ุงู„ุงู†ุŒ y is a function of x ูˆุงุญุฏ ูˆ x ุงุซู†ูŠู†ุŒ ูˆุงู„ู€
1864
+
1865
+ 549
1866
+ 00:51:16,010 --> 00:51:22,230
1867
+ answer ุชู†ุชุดุฑ ููŠ x1 ูˆ x2 ู…ุนุฑูˆูุฉุŒ ุฃู†ุง ุงู„ุญู‚ูŠู‚ุฉ ู‡ูˆ ุฅูŠุดุŸ
1868
+
1869
+ 550
1870
+ 00:51:22,230 --> 00:51:29,330
1871
+ x1 ูˆ x2ุŒ ูˆู…ู†ู‡ ุฃุญุณุจ ุฅูŠุดุŸ yุŒ ูˆุงู„ู€ answer ุชู†ุชุดุฑ ููŠ x1 ูˆ
1872
+
1873
+ 551
1874
+ 00:51:29,330 --> 00:51:33,770
1875
+ x2 ู…ุนุฑูˆูุฉุŒ ุฅูŠุด ุงู„ู€ answer ุชู†ุชุดุฑ ููŠ ุงู„ู€ yุŸ ุงู„ู€ answer ุชู†ุชุดุฑ
1876
+
1877
+ 552
1878
+ 00:51:33,770 --> 00:51:40,450
1879
+ ููŠ ุงู„ู€ y ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ุŒ ู‡ุชูƒูˆู† uyุŒ ุณูˆุงุก ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ
1880
+
1881
+ 553
1882
+ 00:51:40,450 --> 00:51:55,560
1883
+ ู„ู€ dy by dx1 u1 ุงู„ูƒู„ ุชุฑุจูŠุน ุฒุงุฆุฏ dy by dx2 u2 ุงู„ูƒู„ ุชุฑุจูŠุน
1884
+
1885
+ 554
1886
+ 00:51:56,220 --> 00:52:04,100
1887
+ ู…ุนู†ุงุชู‡ ู„ุงุฒู… ุฃุญุณุจ dy by dx ูˆุงุญุฏ ุดูˆ ุจูŠุณุงูˆูŠุŸ aุŒ ูˆ dy by
1888
+
1889
+ 555
1890
+ 00:52:04,100 --> 00:52:09,500
1891
+ dx ุงุซู†ูŠู† ุจูŠุณุงูˆูŠ bุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ answer ุชู†ุชุดุฑ ููŠ ุงู„ู€ y
1892
+
1893
+ 556
1894
+ 00:52:09,500 --> 00:52:17,580
1895
+ ู‡ุชูƒูˆู† ุฌุฐุฑ ุชุฑุจูŠุนูŠ ู„ู€ a u ูˆุงุญุฏ ุชุฑุจูŠุน ุฒุงุฆุฏ b u ุงุซู†ูŠู†
1896
+
1897
+ 557
1898
+ 00:52:17,580 --> 00:52:21,720
1899
+ ุชุฑุจูŠุนุŒ ุนู† ุงู„ู€ a ูˆุงู„ู€ b constants ู…ุนุฑูˆููŠู†ุŒ ูˆุงู„ู€
1900
+
1901
+ 558
1902
+ 00:52:21,720 --> 00:52:25,020
1903
+ uncertainty ููŠ X1 ู…ุนุฑูˆูุฉุŒ ูˆุงู„ู€ uncertainty ููŠ X2
1904
+
1905
+ 559
1906
+ 00:52:25,020 --> 00:52:31,860
1907
+ ู…ุนุฑูˆูุฉุŒ ุฃู‚ุฏุฑ ุฃุญุตู„ uncertainty ููŠ ุงู„ู€ YุŒ ู…ุซุงู„
1908
+
1909
+ 560
1910
+ 00:52:31,860 --> 00:52:36,040
1911
+ ุซุงู†ูŠุŒ suppose
1912
+
1913
+ 561
1914
+ 00:52:36,040 --> 00:52:41,700
1915
+ that Y has the form YุŒ ู…ูˆุถูˆู‘ุนุฉ ุจุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ุŒ A X1 ุฃุณ M
1916
+
1917
+ 562
1918
+ 00:52:41,700 --> 00:52:48,540
1919
+ X2 ุฃุณ N ุนู„ู‰ X3 ุฃุณ KุŒ ูˆุงู„ู€ uncertainty ููŠ X1 ูˆX2 ูˆ
1920
+
1921
+ 563
1922
+ 00:52:48,540 --> 00:52:55,390
1923
+ X3 ู…ุนุฑูˆูุฉุŒ ูˆุงู„ู€ a ูˆุงู„ู€ m ูˆุงู„ู€ n ูˆุงู„ู€ k constantsุŒ ุจุฏูŠ
1924
+
1925
+ 564
1926
+ 00:52:55,390 --> 00:53:01,510
1927
+ ุฃุญุณุจ ุงู„ู€ uncertainty ููŠ ุงู„ู€ yุŒ ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ุฏูŠ ู‡ูŠ ู‡ุฐู‡
1928
+
1929
+ 565
1930
+ 00:53:01,510 --> 00:53:05,790
1931
+ ุงู„ู…ุนุงุฏู„ุฉุŒ ูˆุงู„ู€ uncertainty ู‡ู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ x
1932
+
1933
+ 566
1934
+ 00:53:05,790 --> 00:53:07,610
1935
+ ูˆุงุญุฏ ูˆ x ุงุซู†ูŠู† ูˆ x ุซู„ุงุซุฉุŒ ูŠุนู†ูŠ ุฅู†ู‘ู‡ ุนู†ุฏูŠ ุซู„ุงุซุฉ
1936
+
1937
+ 567
1938
+ 00:53:07,610 --> 00:53:19,680
1939
+ termsุŒ ู‡ุฃุญุณุจ dyุŒ ู‡ุฃุญุณุจ dy by dx ูˆุงุญุฏ ูˆ dy by dx ุงุซู†ูŠู† ูˆ
1940
+
1941
+ 568
1942
+ 00:53:19,680 --> 00:53:24,100
1943
+ dy ุจู‚ู‰ dx ุซู„ุงุซุฉุŒ ูˆุงู„ู€ uncertainty ููŠ x ูˆุงุญุฏ ู…ุนุฑูˆูุฉ ูˆ
1944
+
1945
+ 569
1946
+ 00:53:24,100 --> 00:53:26,540
1947
+ ุงู„ู€ uncertainty ููŠ x ุงุซู†ูŠู† ู…ุนุฑูˆูุฉุŒ ูˆุงู„ู€ uncertainty ููŠ x
1948
+
1949
+ 570
1950
+ 00:53:26,540 --> 00:53:31,360
1951
+ ุซู„ุงุซุฉ ู…ุนุฑูˆูุฉุŒ ูˆุจุฃุนูˆุถ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ
1952
+
1953
+ 571
1954
+ 00:53:31,360 --> 00:53:39,120
1955
+ ู‡ูŠ ู…ุดุชู‚ุฉ ู…ู†ู‡ุงุŒ ุฅูŠุด ุงู„ู€ uiุŒ ุทุจุนุงู‹ ุงู„ู…ูุชุฑุถ ุงู„ู€ m ูˆุงู„ู€ n ูˆุงู„ู€
1956
+
1957
+ 572
1958
+ 00:53:39,120 --> 00:53:44,760
1959
+ k ุชูƒูˆู† ู…ุนุฑูˆูุฉุŒ ูˆุงู„ู€ u ูˆุงุญุฏ ู…ุนุฑูˆูุฉุŒ ู…ู†ู‡ุง for some
1960
+
1961
+ 573
1962
+ 00:53:44,760 --> 00:53:49,900
1963
+ value x ูˆุงุญุฏ x ุงุซู†ูŠู† ูˆ x ุซู„ุงุซุฉุŒ I calculateุŒ ูŠุนู†ูŠ
1964
+
1965
+ 574
1966
+ 00:53:49,900 --> 00:53:52,820
1967
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุฃู†ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฌุฏูˆู„ ุฒูŠ ู‡ูŠูƒุŒ ุนู†ุฏูŠ ุฌุฏูˆู„ X
1968
+
1969
+ 575
1970
+ 00:53:52,820 --> 00:54:00,580
1971
+ ูˆุงุญุฏ ูˆ X ุงุซู†ูŠู† ูˆ X ุซู„ุงุซุฉุŒ ูˆู…ุนุทู‰
1972
+
1973
+ 576
1974
+ 00:54:00,580 --> 00:54:09,840
1975
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ U ูˆุงุญุฏ ูˆ U ุงุซู†ูŠู† ูˆ U ุซู„ุงุซุฉุŒ ูˆgiven
1976
+
1977
+ 577
1978
+ 00:54:12,580 --> 00:54:23,560
1979
+ A ูˆ M ูˆ NุŒ ู…ู…ูƒู† ุฃุญุณุจ ุงู„ู€ U ูˆ Y ู„ูƒู„ ู‚ุฑุงุกุฉ ุฃูˆ ูˆุถุน
1980
+
1981
+ 578
1982
+ 00:54:23,560 --> 00:54:28,100
1983
+ ู…ู‚ุงุจู„ X ูˆุงุญุฏ X ุงุซู†ูŠู† X ุซู„ุงุซุฉ U ูˆุงุญุฏ U ุงุซู†ูŠู† U ุซู„ุงุซุฉ
1984
+
1985
+ 579
1986
+ 00:54:29,770 --> 00:54:35,850
1987
+ ู„ูƒู† ูƒู…ุงู† ุฎู„ุตู†ุง ุงู„ู…ุญุงุถุฑุฉุŒ ุงู„ู€.. ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠุŒ ุงู‚ุฑุฃูˆุง
1988
+
1989
+ 580
1990
+ 00:54:35,850 --> 00:54:41,650
1991
+ ุงู„ู€ exam ุงู„ุฎุงู…ุณ ุนุดุฑ ููŠ ุงู„ูƒุชุงุจ ูˆ.. ูˆ two sections
1992
+
1993
+ 581
1994
+ 00:54:41,650 --> 00:54:47,090
1995
+ ูˆุฑุง exam ุงู„ุฎุงู…ุณ ุนุดุฑ ูˆ two sections ูˆุฑุงู‡ุŒ ุฃุนุทูŠูƒู…
1996
+
1997
+ 582
1998
+ 00:54:47,090 --> 00:54:47,310
1999
+ ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/8iEFJATsb40_postprocess.srt ADDED
@@ -0,0 +1,2328 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:08,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,330 --> 00:00:14,150
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ู…ุญุงุถุฑุงุช chapter ุชู„ุงุชุฉ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:14,150 --> 00:00:19,810
11
+ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑุจูŠุฉ assessing and
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:25,230
15
+ presenting experimental data ู‡ู†ูƒู…ู„
16
+
17
+ 5
18
+ 00:00:25,230 --> 00:00:29,450
19
+ ู‡ู†ุฑุฌุน ู†ุญูƒูŠ ุนู† ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ bias and single
20
+
21
+ 6
22
+ 00:00:29,450 --> 00:00:31,330
23
+ sample uncertainty
24
+
25
+ 7
26
+ 00:00:33,530 --> 00:00:37,710
27
+ single sample ุจุนุถ ุฃุญูŠุงู† ุจุงุฎุฏ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ
28
+
29
+ 8
30
+ 00:00:37,710 --> 00:00:40,790
31
+ ู‚ุฑุงุกุชูŠู† ุฃูˆ ุชู„ุช ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุจูŠูƒูˆู† ุตุบูŠุฑ
32
+
33
+ 9
34
+ 00:00:40,790 --> 00:00:47,530
35
+ ุฌุฏุง ูุจุณู…ูŠู‡ุง ูƒุฃู†ู‡ุง single sample ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:00:47,530 --> 00:00:51,390
39
+ ุฃู†ุง ุนู†ุฏูŠ ุงู„ .. ุงู„ .. ุงู„ errors ุณุงุจู‚ุง ุญูƒูŠู†ุง ุจูŠุฌูŠ ุนู†
40
+
41
+ 11
42
+ 00:00:51,390 --> 00:00:54,890
43
+ ู†ูˆุนูŠู† ุงู„ู„ูŠ ู‡ูˆ precision errors ูˆ systematic ุฃูˆ
44
+
45
+ 12
46
+ 00:00:54,890 --> 00:01:03,760
47
+ bias errors ุงู„ bias errorsุงู„ุทุฑูŠู‚ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ุจุงุดุฑุฉ
48
+
49
+ 13
50
+ 00:01:03,760 --> 00:01:09,920
51
+ ู„ู„ูƒุดู ุงูˆ ุญุณุงุจ ุงู„ bias error ู‡ูŠ ู…ู† ุฎู„ุงู„ ุงู†ู‡ ุงุนู…ู„
52
+
53
+ 14
54
+ 00:01:09,920 --> 00:01:18,980
55
+ ุงู„ู‚ูŠุงุณ ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุฌู‡ุงุฒ ุงูƒุซุฑ ุฏู‚ุฉ ูŠุนู†ูŠ ู…ุซู„ุง ุฌู‡ุงุฒ
56
+
57
+ 15
58
+ 00:01:18,980 --> 00:01:22,620
59
+ ุนู†ุฏู†ุง ู‚ูŠุงุณ ุงู„ูˆุฒู† ุฏู‚ุชู‡ ู…ุซู„ุง plus or minus ูˆุงุญุฏ gram
60
+
61
+ 16
62
+ 00:01:24,710 --> 00:01:28,410
63
+ ุนุดุงู† ุงุนุฑู ุงู„ bias ุงูˆ ุงู„ systematic error ู…ู…ูƒู†
64
+
65
+ 17
66
+ 00:01:28,410 --> 00:01:33,850
67
+ ุงุณุชุฎุฏู… ุงุฎุฏ ุงู„ู‚ุฑุงุกุฉ ุจุงู„ุฌู‡ุงุฒ ุงู„ุฃุตู„ ุชุงุนู‡ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ
68
+
69
+ 18
70
+ 00:01:33,850 --> 00:01:37,210
71
+ ุงู„ุฎุทุฃ ููŠู‡ plus or minus ูˆุงุญุฏ ุงุฌุฑุงู… ูˆ ุจุงู„ุฌู‡ุงุฒ
72
+
73
+ 19
74
+ 00:01:37,210 --> 00:01:40,850
75
+ ุงู„ุฃูƒุซุฑ ุฏู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠู‡ plus or minus
76
+
77
+ 20
78
+ 00:01:40,850 --> 00:01:47,050
79
+ point one ุงุฌุฑุงู… ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ู…ู† ุฎู„ุงู„ ู…ู‚ุงุฑู†ุฉ ู…ุน
80
+
81
+ 21
82
+ 00:01:47,050 --> 00:01:54,400
83
+ more accuratestandard ุงูˆ more accurate device ู…ู…ูƒู†
84
+
85
+ 22
86
+ 00:01:54,400 --> 00:02:00,280
87
+ ุงุนุฑู ุงู„ bias error ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุฏุงูŠู…ุง ุจุชูƒูˆู†
88
+
89
+ 23
90
+ 00:02:00,280 --> 00:02:07,160
91
+ ู…ุชุงุญุฉ ุงูˆ ุจุชุงู„ูŠ ู…ุด ุฏุงูŠู…ุง ุจุชูƒูˆู† ู…ุชุงุญุฉ ุนู†ุฏ ุฌู‡ุงุฒ ุงูƒุซุฑ
92
+
93
+ 24
94
+ 00:02:07,160 --> 00:02:14,420
95
+ ุฏู‚ุฉ ู‡ุฐุง ุณุจุจ ูˆ ุจุนุถ ุงู„ุงุญูŠุงู† ู…ู…ูƒู† ุชูƒูˆู† ู…ูƒู„ูุฉ ูˆ ุชุณุชุบุฑู‚
96
+
97
+ 25
98
+ 00:02:14,420 --> 00:02:21,440
99
+ ูˆู‚ุชูุจุฏุฃ ุฃููƒุฑ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ู„ุชูˆู‚ุน ุฃูˆ ุญุณุงุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„
100
+
101
+ 26
102
+ 00:02:21,440 --> 00:02:26,300
103
+ bias error ุนุดุงู†
104
+
105
+ 27
106
+ 00:02:26,300 --> 00:02:33,920
107
+ ู†ุชูˆู‚ุน ู‚ูŠู…ุฉ ุงู„ bias error ุจู†ุนุชู…ุฏ ุนู„ู‰ ู…ุนุฑูุชู†ุง
108
+
109
+ 28
110
+ 00:02:33,920 --> 00:02:37,980
111
+ ู„ู„ุฃุฌู‡ุฒุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุงู†ุง ุจุชุชุนุงู…ู„ ู…ุนุงู‡ุง
112
+
113
+ 29
114
+ 00:02:38,670 --> 00:02:43,990
115
+ ู…ูŠุฒุงู† ุงู„ู„ู‰ ุณู†ุฉ ุณู†ุชูŠู† ุจุชุนุงู…ู„ ููŠู‡ ุงูˆ ุจุชุนุงู…ู„ ู…ุน ุฌู‡ุงุฒ
116
+
117
+ 30
118
+ 00:02:43,990 --> 00:02:50,530
119
+ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงูˆ ุฌู‡ุงุฒ ู„ุญุณุงุจ ุงู„ flow ุงูˆ ุฌู‡ุงุฒ
120
+
121
+ 31
122
+ 00:02:50,530 --> 00:02:55,370
123
+ ู„ุญุณุงุจ ุงู„ viscosity ูู‰ ูƒุชูŠุฑ ุดุบู„ุงุช ูŠู…ูƒู† ู‚ูŠุงุณู‡ุง ุงู„ู„ู‰
124
+
125
+ 32
126
+ 00:02:55,370 --> 00:03:00,620
127
+ ู‡ู†ุชุนุงู…ู„ ู…ุน ุงู„ุฌู‡ุงุฒ ุจุดูƒู„ ูŠูˆู…ูŠุจุตูŠุฑ ุงุนุฑู ุฎุตุงุฆุตู‡ ุงูƒุชุฑ
128
+
129
+ 33
130
+ 00:03:00,620 --> 00:03:03,100
131
+ ุจุตูŠุฑ ู…ุนุงูŠุง ุฎุจุฑุฉ ููŠ ุงู„ุชุนุงู…ู„ ููŠ ุงู„ุฌู‡ุงุฒ ูุจุนุฑู ูˆุงู„ู„ู‡
132
+
133
+ 34
134
+ 00:03:03,100 --> 00:03:06,720
135
+ ุงู†ู‡ ุฌู‡ุงุฒ ุงุฒุงุฏุฉ ุจูŠุนุทูŠู†ุง ุงู†ุญุฑุงู ุฏุงูŠู…ุง ุงู†ุญุฑุงู ุซุงุจุช
136
+
137
+ 35
138
+ 00:03:06,720 --> 00:03:13,360
139
+ ู…ุซู„ุง point ูˆุงุญุฏ gram ููŠ ุงู„ูˆุฒู† ุงูˆ ู…ุซู„ุง ูˆ .. ุงุฐุง ูƒุงู†
140
+
141
+ 36
142
+ 00:03:13,360 --> 00:03:19,780
143
+ ุฌู‡ุงุฒ ู‚ุฑุงุฑ .. ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ูˆุงู„ู„ู‡ ุงู„ุฌู‡ุงุฒ ุฏู‡ู…ุง
144
+
145
+ 37
146
+ 00:03:19,780 --> 00:03:26,390
147
+ ู…ู† ุฎุจุฑุฉ ุจูŠุนุทูŠู†ุง ูˆุงู„ู„ู‡ ุจุฒูˆุฏ ู…ุซู„ุง one degreeูู…ู†
148
+
149
+ 38
150
+ 00:03:26,390 --> 00:03:34,210
151
+ ุงู„ุฎุจุฑุฉ ู…ู…ูƒู† ุงู†ุง ุงุชูˆู‚ุน ุงูˆ ุงุนู…ู„ ุชู‚ุฏูŠุฑุงุช ู„ุญุฌู… ุงู„ุฎุทุฃ
152
+
153
+ 39
154
+ 00:03:34,210 --> 00:03:39,110
155
+ ุงู„ู„ู‰ ู‡ูˆ ุงู„ bias error ุงู„
156
+
157
+ 40
158
+ 00:03:39,110 --> 00:03:42,730
159
+ estimation of bias uncertainty lies on ุงู„ู„ู‰ ู‡ูˆ
160
+
161
+ 41
162
+ 00:03:42,730 --> 00:03:49,720
163
+ ุชู‚ุฏูŠุฑ ุงู„ bias uncertainty ุจูŠุชู…ุฏ ุนู„ู‰ ุงู„ุฎุจุฑุฉway
164
+
165
+ 42
166
+ 00:03:49,720 --> 00:03:54,100
167
+ understanding of calibration accuracy ู„ู…ุง ุงู†ุง ุนู…ู„ุช
168
+
169
+ 43
170
+ 00:03:54,100 --> 00:04:00,440
171
+ ุชุนูŠูŠุฑ ู…ุนุงูŠุฑุฉ ู„ุฌู‡ุงุฒ ุนุฑูุช ู…ู† ุฎู„ุงู„ .. ู„ู…ุง ุงู†ุง ุงุนู…ู„
172
+
173
+ 44
174
+ 00:04:00,440 --> 00:04:04,760
175
+ ู…ุนุงูŠุฑุฉ ุงู†ุง ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ standard ูˆ ุนู†ุฏูŠ ุฌู‡ุงุฒ ุชุญุช
176
+
177
+ 45
178
+ 00:04:04,760 --> 00:04:09,780
179
+ ุงู„ุฏุฑุงุณุฉุงู„ standard ุชู‚ุฑูŠุจุง ุจูŠุนุทูŠู†ูŠ ู‚ูŠู…ุฉ true ู‚ุฑูŠุจุฉ
180
+
181
+ 46
182
+ 00:04:09,780 --> 00:04:13,260
183
+ ู…ู† ุงู„ true value ูˆ๏ฟฝ๏ฟฝู„ุฌู‡ุงุฒ ู‡ูˆ ุงู„ู„ูŠ ุฃู†ุง ุจู‚ูŠุณ ููŠู‡
184
+
185
+ 47
186
+ 00:04:13,260 --> 00:04:18,000
187
+ ูุจุงุฎุฏ ุนุฏุฉ ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุจู‚ุงุฑู† ุจูŠู† ุงู„ standard ูˆ
188
+
189
+ 48
190
+ 00:04:18,000 --> 00:04:21,480
191
+ ุงู„ุฌู‡ุงุฒ ุจุชุงุนูŠ ุจุนุฏ ู…ุง ูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ู† ู…ุนุฑูุชูŠ
192
+
193
+ 49
194
+ 00:04:21,480 --> 00:04:24,260
195
+ ู„ุชูุงุตูŠู„ ุงู„ calibration ุงู„ู„ูŠ ู‡ูˆ ุงู„ linearity ูˆ ุงู„
196
+
197
+ 50
198
+ 00:04:24,260 --> 00:04:29,140
199
+ hysteresis ูˆ ุงู„ offset ู‡ุฐู‡ ุจุชููŠุฏู†ูŠ ุจุชู‚ุฏูŠุฑ ุงู„ bias
200
+
201
+ 51
202
+ 00:04:29,140 --> 00:04:29,520
203
+ error
204
+
205
+ 52
206
+ 00:04:32,480 --> 00:04:37,120
207
+ ุจุงู„ุงุถุงูุฉ ู„ .. ู„ู„ dimensional tolerances ุงู„ู„ูŠ ู‡ูŠ
208
+
209
+ 53
210
+ 00:04:37,120 --> 00:04:42,640
211
+ ุงู„ูุฑูˆู‚ุงุช ุงูˆ ุงู„ .. ุงู„ุงุฎุทุงุก ุงู„ู…ุณู…ูˆุญุฉ ููŠ ุงู„ .. ุงู„ ..
212
+
213
+ 54
214
+ 00:04:42,640 --> 00:04:44,000
215
+ ุงู„ุฃุจุนุงุฏ ุงู„ุทูˆู„ูŠุฉ
216
+
217
+ 55
218
+ 00:04:46,450 --> 00:04:49,550
219
+ A diligence, persistence and careful examination
220
+
221
+ 56
222
+ 00:04:49,550 --> 00:04:53,390
223
+ of one's results are essential in identifying and
224
+
225
+ 57
226
+ 00:04:53,390 --> 00:04:58,330
227
+ estimating such errors ูŠุนู†ูŠ ุงู„ุฅุตุฑุงุฑ ูˆ ุงู„ .. ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:04:58,330 --> 00:05:09,640
231
+ ูŠูƒูˆู† ุนู†ุฏูŠ ุชูุญุต ุฏู‚ูŠู‚ ู„ู„ู†ุชุงุฆุฌ ุถุฑูˆุฑูŠ ุฌุฏุง ุนุดุงู† ุฃุญุฏุฏูˆ
232
+
233
+ 59
234
+ 00:05:09,640 --> 00:05:14,860
235
+ ุงุชุฎู„ุต ุงูˆ ุงุฎูู ู…ู† ุงู„ุฃุฎุทุงุก ููŠ ุงู„ results ุนู†ุฏูŠ ููŠุนู†ูŠ
236
+
237
+ 60
238
+ 00:05:14,860 --> 00:05:19,860
239
+ ุงู„ุชุฌุฑุจุฉ ุงูˆ ุงูŠ ุชุฌุฑุจุฉ ุงุนู…ู„ู‡ุง ุนุงุฏุฉุจุนู…ู„ ู…ุง ูŠุณู…ู‰ ุนู…ู„ูŠุฉ
240
+
241
+ 61
242
+ 00:05:19,860 --> 00:05:23,900
243
+ ุงู„ุชุนู„ู… ููŠ ุงู„ุฃูˆู„ ุจุฌุฑูŠ ุงู„ุชุฌุงุฑุจ ู…ุซู„ุง ุจุดูƒู„ ุณุฑูŠุน ุจุฌุฑูŠู‡ุง
244
+
245
+ 62
246
+ 00:05:23,900 --> 00:05:28,480
247
+ ู…ุฑุฉ ู…ุฑุชูŠู† ุชู„ุงุชุฉ ูุจูู‡ ุดูˆูŠุฉ ุจูŠุตูŠุฑ ุงู† ุฏูŠ ู…ุนู„ูˆู…ุงุช ุงูƒุชุฑ
248
+
249
+ 63
250
+ 00:05:28,480 --> 00:05:34,440
251
+ ูƒูŠู ุงู„ุฃู…ูˆุฑ ุจุชุตูŠุฑ ูˆูŠู† ุงู„ุฃุฎุทุงุก ู…ุฑุชูุนุฉ ูˆู…ู† ุฎูุถุฉ ุงูŠุด
252
+
253
+ 64
254
+ 00:05:34,440 --> 00:05:37,880
255
+ ุงู„ุธุฑูˆู ุงู„ู„ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจ ูุงู†ุง ู…ุญุชุงุฌ to
256
+
257
+ 65
258
+ 00:05:37,880 --> 00:05:41,160
259
+ build some experience ู‡ุฐู‡ ุงู„ experience ุจุช ..
260
+
261
+ 66
262
+ 00:05:41,160 --> 00:05:44,860
263
+ ุจูŠุตูŠุฑ ู…ุน ุงู„ู…ุชุงุจุน ู…ุน ุงู„ุฅุตุฑุงุฑ ุงู†ู‡ ุงูŠุฏูŠ ุงู„ุชุฌุงุฑุจ ุงูƒุชุฑ
264
+
265
+ 67
266
+ 00:05:45,160 --> 00:05:51,500
267
+ ู…ู† ู…ุฑุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุงู„ issue ุจูŠุนุทูŠู†ูŠ ุงู„ู‚ุฏุฑุฉ ุงู†
268
+
269
+ 68
270
+ 00:05:51,500 --> 00:05:59,940
271
+ ุงุญุณู† ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจ ุงู„ู„ูŠ ุงู†ุง ุจุงุฌุฑูŠู‡ุง instance
272
+
273
+ 69
274
+ 00:05:59,940 --> 00:06:03,680
275
+ of bias uncertainty should be accompanied by a
276
+
277
+ 70
278
+ 00:06:03,680 --> 00:06:07,540
279
+ confidence levelู„ู…ุง ุจุญุณุจ ุงู„ุฎุทุฃ ููŠ ุงู„ bias
280
+
281
+ 71
282
+ 00:06:07,540 --> 00:06:12,660
283
+ uncertain ุงู„ุฎุทุฃ ููŠ ุงู„ุงู†ุญุฑุงููŠ ุงูˆ ุงู„ุฎุทุฃ ุงู„ุงู†ุญุฑุงููŠ
284
+
285
+ 72
286
+ 00:06:12,660 --> 00:06:17,100
287
+ ุงู„ุซุงุจุช ุจุฏูŠ ุงุญุท ุฏุฑุฌุฉ ุชูŠู‚ู† ุงู†ุง ุจุนู…ู„ู‡ estimation
288
+
289
+ 73
290
+ 00:06:17,100 --> 00:06:21,580
291
+ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ุฎู…ุณ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ุณุจุนูŠู† ููŠ
292
+
293
+ 74
294
+ 00:06:21,580 --> 00:06:25,880
295
+ ุงู„ู…ูŠุฉ ุงูˆ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ู…ุซู„ุง ุชุณุน ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ูุงู„
296
+
297
+ 75
298
+ 00:06:25,880 --> 00:06:31,080
299
+ estimation ุจูƒูˆู† ู…ู‚ุฑูˆู† ุจุฏุฑุฌุฉ ุชูŠู‚ู†
300
+
301
+ 76
302
+ 00:06:33,730 --> 00:06:38,530
303
+ level of confidence assigned ู…ุณุชูˆู‰ ุฏุฑุฌุฉ ุงู„ุชุงู‚ู„
304
+
305
+ 77
306
+ 00:06:38,530 --> 00:06:43,130
307
+ ุงู„ู„ูŠ ุงุญู†ุง ุญุงุทู†ุงู‡ is a product of our knowledge of
308
+
309
+ 78
310
+ 00:06:43,130 --> 00:06:47,630
311
+ the system ู‡ูˆ ู†ุงุชุฌ ุนู† ู…ุนุฑูุชู†ุง ู„ู… ู†ุถุนู… ุชุญุช ุงู„ุฏุฑุงุณุฉ
312
+
313
+ 79
314
+ 00:06:48,860 --> 00:06:52,220
315
+ reflecting our assessment of the fraction of bias
316
+
317
+ 80
318
+ 00:06:52,220 --> 00:06:54,620
319
+ errors likely to land within the uncertain
320
+
321
+ 81
322
+ 00:06:54,620 --> 00:06:59,300
323
+ interval ูˆุจุงู„ุชุงู„ูŠ ุงู„ level of confidence ุฃูˆ ู…ุณุชูˆู‰
324
+
325
+ 82
326
+ 00:06:59,300 --> 00:07:03,700
327
+ ุงู„ุชูŠู‚ู† ุงู„ู„ูŠ ุฃู†ุง ุจุญุทู‡ ู‡ูˆ ู†ุชูŠุฌุฉ ู…ุนุฑูุชู†ุง ุจุงู„ system
328
+
329
+ 83
330
+ 00:07:03,700 --> 00:07:08,100
331
+ ุงู„ุฃุฎุทุงุก ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ุง ูˆุจุงู„ุชุงู„ูŠ ู…ุฏู‰ ุชู‚ุฏูŠุฑู†ุง
332
+
333
+ 84
334
+ 00:07:08,100 --> 00:07:12,540
335
+ ู„ู…ุณุชูˆูŠุงุช ุฃูˆ ูƒู…ูŠุงุช ุงู„ุฎุทุฃ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ุชุฌุงุฑุจ
336
+
337
+ 85
338
+ 00:07:16,610 --> 00:07:21,710
339
+ Sometimes the term coverage is used in place of
340
+
341
+ 86
342
+ 00:07:21,710 --> 00:07:25,570
343
+ confidence to reflect the empirical nature of
344
+
345
+ 87
346
+ 00:07:25,570 --> 00:07:29,370
347
+ these estimates ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู†ุณุชุฎุฏู…ุด ุงู„ู„ูŠ ู‡ูˆ
348
+
349
+ 88
350
+ 00:07:29,370 --> 00:07:34,070
351
+ confidence ู†ุณุชุฎุฏู… ุงู„ู…ุตุทู„ุญ coverage coverage ู„ุฃู† ุงู„
352
+
353
+ 89
354
+ 00:07:34,070 --> 00:07:41,090
355
+ confidence ูŠุชู… ุงุดุชู‚ุงู‚ู‡ ุจู†ุงุก ุนู„ู‰ ุชุญู„ูŠู„ ุฅุญุตุงุฆูŠ ุงู„
356
+
357
+ 90
358
+ 00:07:41,090 --> 00:07:45,350
359
+ coverageู…ุด ุจุฏุฑูˆุฑ ูŠูƒูˆู† ุจู†ุงุก ุนู„ู‰ ุชุญู„ูŠู„ ุงูุณุงุฏ ู…ู…ูƒู†
360
+
361
+ 91
362
+ 00:07:45,350 --> 00:07:48,890
363
+ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุณุงุจู‚ุฉ ุฃูˆ ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ ูŠุนู†ูŠ ููŠ ุงู„ุขุฎุฑ
364
+
365
+ 92
366
+ 00:07:48,890 --> 00:07:55,930
367
+ ู‡ูŠ ุจุชุธู„ ุนู…ู„ูŠุฉ ุชู‚ุฏูŠุฑูŠุฉ ุชุนุชู…ุฏุด ูƒุชูŠุฑ ุนู„ู‰ ุงู„ุญุณุงุจ ุชุนุชู…ุฏ
368
+
369
+ 93
370
+ 00:07:55,930 --> 00:08:06,070
371
+ ุนู„ู‰ ุงู„ุฎุจุฑุฉ ูˆู…ุนุฑ๏ฟฝ๏ฟฝุชู†ุง ู„ู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ data
372
+
373
+ 94
374
+ 00:08:06,070 --> 00:08:06,750
375
+ reduction
376
+
377
+ 95
378
+ 00:08:09,680 --> 00:08:13,380
379
+ often requires knowledge of the physical
380
+
381
+ 96
382
+ 00:08:13,380 --> 00:08:16,840
383
+ properties system dimensions or electrical
384
+
385
+ 97
386
+ 00:08:16,840 --> 00:08:20,600
387
+ characteristics ุฏู„ุงู† ุนุงุฏุฉ ุงู† ุงู†ุง ุจูƒูˆู† ุนู†ุฏู‰ data
388
+
389
+ 98
390
+ 00:08:20,600 --> 00:08:27,340
391
+ reduce ุงูŠุด ู…ุนู†ุงู‡ ุจุงุฎุชุฒู„ู‡ุง ุงุฎุชุฒุงู„ ุงู„ุจูŠุงู†ุงุช ูŠุชุทู„ุจ
392
+
393
+ 99
394
+ 00:08:27,340 --> 00:08:34,880
395
+ ู…ุนุฑูุฉ ู„ู„ุฎูˆุงุต ุงู„ุทุจูŠุนูŠ ู„ู„ู†ุธุงู… ุงูˆ ู„ู„ ุงู„ ุงู„ ุงู„ ุงู„ุงู„ุงุดูŠ
396
+
397
+ 100
398
+ 00:08:34,880 --> 00:08:37,620
399
+ ุงู„ู„ู‰ ุงู†ุง ุจุฏู‡ ุงู‚ูŠุณ .. ุจุฏู‡ ุงู‚ูŠุณ ุญุฑุงุฑุฉ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ
400
+
401
+ 101
402
+ 00:08:37,620 --> 00:08:44,440
403
+ ูƒุซุงูุฉ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ ุทูˆู„ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ ู„ุฒูˆุฌุฉ system
404
+
405
+ 102
406
+ 00:08:44,440 --> 00:08:47,700
407
+ dimensions or electrical characteristics ุงุฐุง ุนู†ุฏูŠ
408
+
409
+ 103
410
+ 00:08:47,700 --> 00:08:50,060
411
+ ุฌู‡ุงุฒ ุจูŠุนุทูŠู†ูŠ ุงู„ digital layout ู…ุนู†ุงุชู‡ ูˆุงุถุญ ุงู†ู‡
412
+
413
+ 104
414
+ 00:08:50,060 --> 00:08:55,420
415
+ ุจุญูˆู„ ุงู„ analog signalู„ู€ digital signal ูุตุงุฑ ุนู†ุฏู‰
416
+
417
+ 105
418
+ 00:08:55,420 --> 00:08:59,220
419
+ some form of transformation ุงู„ุชุญูˆู„ ู‡ุฐุง ุงูˆ ุงู„ุชุญูˆู„ุงุช
420
+
421
+ 106
422
+ 00:08:59,220 --> 00:09:02,920
423
+ ุงู„ู„ู‰ ุจูŠุตูŠุฑ ูŠุฏูŠุด ุงู†ุง ุจูู‡ู… ูƒูŠู ุจูŠุตูŠุฑ ุงู„ุชุญูˆู„ุงุช ู‡ุฐู‡
424
+
425
+ 107
426
+ 00:09:02,920 --> 00:09:09,600
427
+ ู…ู…ูƒู† ุงู‚ุฏุฑ ุงู„ bias error ุงู„ู„ู‰ ุจูŠุตูŠุฑ ููŠ ุงู„ุฌู‡ุงุฒ
428
+
429
+ 108
430
+ 00:09:09,600 --> 00:09:15,570
431
+ ุนู„ู‰ ุณุจูŠู„ ู…ุซุงู„A flow meter measurement may depend
432
+
433
+ 109
434
+ 00:09:15,570 --> 00:09:21,170
435
+ on density of water and tube diameter ู‚ูŠุงุณ ุงู„ุชุฏูู‚
436
+
437
+ 110
438
+ 00:09:21,170 --> 00:09:27,030
439
+ ุชุฏูู‚ ุจุนุชู…ุฏ ุนู„ู‰ ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูˆู‚ุทุฑ ุงู„ุฅู†ุจูˆุจ
440
+
441
+ 111
442
+ 00:09:36,200 --> 00:09:39,100
443
+ ุงู„ุงู† differences between the assumed values of
444
+
445
+ 112
446
+ 00:09:39,100 --> 00:09:44,160
447
+ these components ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ
448
+
449
+ 113
450
+ 00:09:44,160 --> 00:09:46,900
451
+ ู„ู„ these components ุงู„ components ุงู„ู…ู‚ุตูˆุฏ ููŠู‡ุง ุงูŠุด
452
+
453
+ 114
454
+ 00:09:46,900 --> 00:09:52,730
455
+ ุงู„ densityูˆ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ Envelope and their
456
+
457
+ 115
458
+ 00:09:52,730 --> 00:09:57,630
459
+ actual values ู„ุฅู† ููŠู‡ ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ ูˆ
460
+
461
+ 116
462
+ 00:09:57,630 --> 00:10:02,430
463
+ ุงู„ู‚ูŠู… ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ุฅู† ู‡ุฐุง ุงู„ูุฑู‚ ู…ู…ูƒู† systematize
464
+
465
+ 117
466
+ 00:10:02,430 --> 00:10:07,490
467
+ shift all ู„ูŠุนู…ู„ุด ุฅุฒุงุญุฉ ู„ูƒู„ ุงู„ู‚ุฑุงุกุงุช ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„
468
+
469
+ 118
470
+ 00:10:07,490 --> 00:10:11,740
471
+ bias errorุงู„ bias error ูŠุนู†ูŠ ุชู‚ุฑูŠุจ ุจูŠูƒูˆู† ุนู†ุฏูŠ
472
+
473
+ 119
474
+ 00:10:11,740 --> 00:10:15,820
475
+ shift ุซุงุจุช ุจูŠูƒูˆู† shift ุซุงุจุช ุงู„ precision error
476
+
477
+ 120
478
+ 00:10:15,820 --> 00:10:19,100
479
+ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ fluctuation ููŠ ุนู†ุฏูŠ ุชุฐุจุฐุจ ุญูˆู„ ุงู„
480
+
481
+ 121
482
+ 00:10:19,100 --> 00:10:23,540
483
+ central value ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ bias ูˆ ุงู„ precision
484
+
485
+ 122
486
+ 00:10:23,540 --> 00:10:27,020
487
+ ุงู„ precision ููŠ ุชุฐุจุฐุจ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ุญูˆู„ ุงู„ central
488
+
489
+ 123
490
+ 00:10:27,020 --> 00:10:31,580
491
+ value ู„ูƒู† ุงู„ bias ุจูŠูƒูˆู† ููŠ some fixed shift ุณูˆุงุก
492
+
493
+ 124
494
+ 00:10:31,580 --> 00:10:34,180
495
+ positive ุฃูˆ negative ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ ุฏุงูŠู…ุง ุจูŠู‚ุฑุฃ
496
+
497
+ 125
498
+ 00:10:34,180 --> 00:10:38,220
499
+ ุจุงู„ุฒูŠุงุฏุฉ ุฏุงูŠู…ุง ุงูˆ ุจูŠู‚ุฑุฃ ุงู‚ู„ ู‡ุฐุง ู‡ูˆ ุงู„ bias error
500
+
501
+ 126
502
+ 00:10:42,400 --> 00:10:46,300
503
+ ุงุญู†ุง ุญุงู„ูŠุง ู†ุญูƒูŠ ุนู„ู‰ ู…ุซุงู„ hystable flow to find
504
+
505
+ 127
506
+ 00:10:46,300 --> 00:10:52,920
507
+ water's density ุนุดุงู† ุงูˆุฌุฏ ูƒุซุงูุฉ ุงู„ู…ูŠู‡ุŒ ูƒุซุงูุฉ ุงู„ู…ูŠู‡
508
+
509
+ 128
510
+ 00:10:52,920 --> 00:10:57,940
511
+ ุจุชุชุบูŠุฑ ู…ุน ุงู„ุชุบูŠุฑ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู…ุนู†ุงุชู‡ I have to
512
+
513
+ 129
514
+ 00:10:57,940 --> 00:11:02,510
515
+ define temperatureุŒ temperature is specifiedุจุนุฏูŠู†
516
+
517
+ 130
518
+ 00:11:02,510 --> 00:11:05,350
519
+ ุจุฑูˆุญ ุนู„ู‰ ูƒุชุงุจ ุนู„ู‰ handbook ู…ู† ุฌุฏุงูˆู„ุŒ ู…ู† ุงู„ุฌุฏุงูˆู„
520
+
521
+ 131
522
+ 00:11:05,350 --> 00:11:10,310
523
+ ุจุชุทู„ุน ูˆุงู„ู„ู‡ ุนู†ุฏ ุฎู…ุณูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูƒุฐุงุŒ
524
+
525
+ 132
526
+ 00:11:10,310 --> 00:11:14,570
527
+ ุนู†ุฏ ุฃุฑุจุนูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูƒุฐุงุŒ ู…ุนู†ุงู‡ ููŠ
528
+
529
+ 133
530
+ 00:11:14,570 --> 00:11:18,670
531
+ ุงู„ุฃูˆู„ I specify ุงู„ temperature ุจุนุฏูŠู† ุจุฑูˆุญ ุนู„ู‰ ูƒุชุงุจ
532
+
533
+ 134
534
+ 00:11:18,670 --> 00:11:23,490
535
+ handbook ู…ู† ุงู„ุฌุฏุงูˆู„ุŒ ุจุชุทู„ุน ุงู„ูƒุซุงูุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
536
+
537
+ 135
538
+ 00:11:23,490 --> 00:11:27,010
539
+ ุทู„ุนุช ู…ุซู„ุง ุฌุณุฉ ุนู…ูŠุฉ ูˆุงุชู…ู†ุน ุชุณุนูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰
540
+
541
+ 136
542
+ 00:11:27,010 --> 00:11:33,750
543
+ ุงู„ู…ุชุฑ ุงู„ู…ูƒุนุจุŒ ุงู† ุฏุฑุฌุฉ ู‡ูˆ ุชุญุช ุงู„ุฏุฑุงุณุฉุงู„ุงู† ุงุฐุง ูƒุงู†
544
+
545
+ 137
546
+ 00:11:33,750 --> 00:11:40,270
547
+ ููŠ ุฎุทุฃ ุนุฏู… ุฏู‚ุฉ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูŠุนู†ูŠ
548
+
549
+ 138
550
+ 00:11:40,270 --> 00:11:46,440
551
+ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู†ุชู„ุงุชูŠู† ุงู†ุง ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู†
552
+
553
+ 139
554
+ 00:11:46,440 --> 00:11:50,180
555
+ ุฏุงูŠู…ุง ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ู…ุน ุงู† ููŠ ุนู†ุฏูŠ bias ููŠ
556
+
557
+ 140
558
+ 00:11:50,180 --> 00:11:55,660
559
+ ุงู„ู‡ุฑู ุฏุงูŠู…ุง ุจุงุฎุฏ ูƒุฑุงุกุฉ ู…ู„ุญุฑูุฉ ุจุดูƒู„ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ
560
+
561
+ 141
562
+ 00:11:55,660 --> 00:11:59,600
563
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ bias uncertainty ููŠ ุงู„ูƒุซุงูุฉ
564
+
565
+ 142
566
+ 00:11:59,600 --> 00:12:03,940
567
+ ุทู„ุนุช ู…ุนุงูŠุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุชู†ูŠู† kilogram ู„ูƒู„ ู…ุชุฑ
568
+
569
+ 143
570
+ 00:12:03,940 --> 00:12:09,690
571
+ ู…ูƒุนุจ this uncertainty ู‡ุฐุง ุงู„ุฎุทุฃุงู„ู„ูŠ ู‡ูˆ ุงู„ bias
572
+
573
+ 144
574
+ 00:12:09,690 --> 00:12:13,770
575
+ uncertainty may cover 95% of the temperature range
576
+
577
+ 145
578
+ 00:12:13,770 --> 00:12:17,570
579
+ we expect is possible for the system ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„
580
+
581
+ 146
582
+ 00:12:17,570 --> 00:12:24,430
583
+ uncertainty .. ุงู„ uncertainty ู…ู…ูƒู† ุชู‚ุฏุฑ ุจุฏุฑุฌ
584
+
585
+ 147
586
+ 00:12:24,430 --> 00:12:27,850
587
+ ุงู„ุชุฃูƒุฏ ู…ุนูŠู† ุนุดุงู† ู†ุจูŠู‡ ู…ุซู„ุง 95% ู„ู„ temperature
588
+
589
+ 148
590
+ 00:12:27,850 --> 00:12:30,050
591
+ range ุชุญุช ุงู„ุฏุฑุงุณุฉ ู…ุซู„ุง ุงู„ temperature range ุนู†ุฏูŠ
592
+
593
+ 149
594
+ 00:12:30,050 --> 00:12:32,930
595
+ ู…ุซู„ุง ู…ู† ุนุดุฑูŠู† ู„ุชู„ุงุชูŠู†ุŒ ู…ู† ุนุดุฑูŠู† ู„ุงุฑุจุนูŠู†
596
+
597
+ 150
598
+ 00:12:36,420 --> 00:12:41,780
599
+ this inaccuracy ู‡ุฏู‚ ุงูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ will
600
+
601
+ 151
602
+ 00:12:41,780 --> 00:12:47,400
603
+ systematically ุจุดูƒู„ ู…ู†ุชุธู… affect all data ู‡ุชุฃุซุฑ
604
+
605
+ 152
606
+ 00:12:47,400 --> 00:12:52,520
607
+ ุนู„ู‰ ูƒู„ ุงู„ุจูŠุงู†ุงุช using the particular value of
608
+
609
+ 153
610
+ 00:12:52,520 --> 00:12:53,380
611
+ density
612
+
613
+ 154
614
+ 00:12:58,260 --> 00:13:03,340
615
+ ุงู‡ู†ุง ุญูƒูŠู†ุง ุงู„ุญุตุฉ ุงู„ flow rate ุจุนุชู…ุฏ ุนู„ู‰ ุงู„ density
616
+
617
+ 155
618
+ 00:13:03,340 --> 00:13:07,860
619
+ ุงู„ู…ูŠู‡ ู…ุซู„ุง ูˆ ุนู„ู‰ ุงู„ู‚ุทุฑ ุงู„ู†ุจูˆุจ normal diameter of
620
+
621
+ 156
622
+ 00:13:07,860 --> 00:13:11,880
623
+ the tube ุจู†ูุณ ุงู„ุณูŠุงู‚ ุงู„ normal diameter of the
624
+
625
+ 157
626
+ 00:13:11,880 --> 00:13:15,700
627
+ pipe may differ from production diameter by some
628
+
629
+ 158
630
+ 00:13:15,700 --> 00:13:22,990
631
+ percent ู„ุฃู† ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ู†ุจูˆุจู…ุซู„ุง ู†ุญูƒูŠ ู…ุซู„ุง ูˆุงุญุฏ
632
+
633
+ 159
634
+ 00:13:22,990 --> 00:13:27,430
635
+ inch ุงูˆ ุงุชู†ูŠู† inch ู‡ุฐุง ุงู„ nominal ุงู„ู„ูŠ ุงู„ู…ูุชุฑุถ ุงู†
636
+
637
+ 160
638
+ 00:13:27,430 --> 00:13:32,210
639
+ ูŠูƒูˆู† ู„ูƒู† ู†ุชูŠุฌุฉ ุชุตู†ูŠุน ุจุชูƒูˆู† ููŠ ู†ุณุจุฉ ุฎุทุฃ ูููŠ some
640
+
641
+ 161
642
+ 00:13:32,210 --> 00:13:37,590
643
+ percentage error ููŠ ุงู„ู‚ุทุฑ ูููŠ ุฎุทุฃ ุจุงู„ุงุด ู‚ุทุฑ ู†ุจูˆู‡
644
+
645
+ 162
646
+ 00:13:37,590 --> 00:13:43,290
647
+ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ุทุจุนุง potential sources of
648
+
649
+ 163
650
+ 00:13:43,290 --> 00:13:49,570
651
+ errorู†ุญูƒูŠ ู…ุตุงุฏุฑ ู…ุญุชู…ู„ ุงู„ุฎุทุฃ such as these ุงู„ู„ูŠ ู‡ูŠ
652
+
653
+ 164
654
+ 00:13:49,570 --> 00:13:52,930
655
+ ู†ุชูŠุฌุฉ ุงู„ุชุตู†ูŠุน remain unchanged for each
656
+
657
+ 165
658
+ 00:13:52,930 --> 00:13:55,910
659
+ measurement made with the system ุงู„ุงู† ู‡ูˆ ุงู„ุงู†ุจูˆุจ
660
+
661
+ 166
662
+ 00:13:55,910 --> 00:14:01,170
663
+ ู…ุตู†ุน ูˆ ุฎุงู„ุต ู…ุด ู‡ุตู†ุน ุงู†ุจูˆุจ ุฎู„ุงุต ุงู†ุง ู„ .. ู„ .. ู„ ..
664
+
665
+ 167
666
+ 00:14:01,170 --> 00:14:04,890
667
+ ู„ู‚ูŠุง .. ูˆ ุงู‚ูŠุณ ูƒุชุฑ ุงู„ุงู† ู‡ูˆ already ุตู†ุน ูˆ ุงู„ุฃุฎุทุงุก
668
+
669
+ 168
670
+ 00:14:04,890 --> 00:14:08,030
671
+ ุงู„ู„ูŠ ููŠ ุงู„ุชุตู†ูŠุน already ุตุงุฑุช ุญุตู„ุช ูˆ ุจุงู„ุชุงู„ูŠ
672
+
673
+ 169
674
+ 00:14:08,030 --> 00:14:11,090
675
+ ุงู„ุฃุฎุทุงุก ู‡ุฐู‡ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุฃุณุงุณุง ููŠ ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:14:11,090 --> 00:14:15,900
679
+ ุฏุงูŠู…ุง ุจุณุชุฎุฏู…ู‡ุง ุงู†ู‡ุง ู‡ุชุจู‚ู‰ ุชุนู…ู„ูŠ biasูŠุนู†ูŠ ุงู†ุญุฑุงู
680
+
681
+ 171
682
+ 00:14:15,900 --> 00:14:26,460
683
+ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุตุญ ู„ุญุณุงุจ ุงู„ู‚ุทุฑ if the uncertainty
684
+
685
+ 172
686
+ 00:14:26,460 --> 00:14:31,100
687
+ related to manufacturing tolerance is unacceptably
688
+
689
+ 173
690
+ 00:14:31,100 --> 00:14:36,080
691
+ large ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ ุงู„ู…ุฑุชุจุท ุจุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ูƒุงู†
692
+
693
+ 174
694
+ 00:14:36,080 --> 00:14:43,680
695
+ ูƒุจูŠุฑุŒ ูƒุงู† ูƒุจูŠุฑ ูƒุชูŠุฑู…ู…ูƒู† ุงุญู†ุง ู†ุงุฎุฏ ู‚ูŠุงุณุงุช ู„ู„ู‚ุทุฑ
696
+
697
+ 175
698
+ 00:14:43,680 --> 00:14:49,020
699
+ ู†ุณุชุฎุฏู… ู…ุซู„ุง ุงู„ digital caliber ุฏู‚ุฉ ู…ุซู„ุง point oh
700
+
701
+ 176
702
+ 00:14:49,020 --> 00:14:53,460
703
+ one millimeter ู†ุงุฎุฏ ู‚ุฑุงุกุชู†ุง ุงุญู†ุง ูˆ ู†ุนุชู…ุฏ ุงู„ู‚ุฑุงุกุฉ
704
+
705
+ 177
706
+ 00:14:53,460 --> 00:14:58,400
707
+ ุงู„ุญู‚ูŠู‚ูŠุฉ as measured ู„ุงู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ู…ุง ู†ุญูƒูŠ
708
+
709
+ 178
710
+ 00:14:58,400 --> 00:15:01,140
711
+ ุงู†ุฏูŠ ุงู„ digital caliber ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
712
+
713
+ 179
714
+ 00:15:01,140 --> 00:15:04,760
715
+ resolution ุจุชุงุน point oh one millimeter ู…ุนู†ุงุชู‡ููŠ
716
+
717
+ 180
718
+ 00:15:04,760 --> 00:15:08,640
719
+ precision ููŠ ุฏู‚ุฉ ููŠ ุฏู‚ุฉ ููŠ ุงู„ู‚ุฑุงูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง
720
+
721
+ 181
722
+ 00:15:08,640 --> 00:15:13,960
723
+ ู…ุชูˆู‚ุน ุงู„ answer ุชู†ุชู‡ูŠ ุงู„ู„ูŠ ู†ุงุชุฌุฉ ุนู† ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุทุฑ
724
+
725
+ 182
726
+ 00:15:13,960 --> 00:15:19,720
727
+ ู†ุงุชุฌุฉ ุนู† .. ู†ุงุชุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ู…ู…ูƒู† ุฃู‚ู„ู„ู‡ุง ุฅุฐุง
728
+
729
+ 183
730
+ 00:15:19,720 --> 00:15:25,400
731
+ ุฃู†ุง ู‚ู…ุช ุจู‚ูŠุงุณ ุงู„ู‚ุทุฑ ุจุดูƒู„ ุญู‚ูŠู‚ูŠ ุจุงุณุชุฎุฏุงู… ุฃุฌู‡ุฒุฉ ุฃูƒุซุฑ
732
+
733
+ 184
734
+ 00:15:25,400 --> 00:15:26,920
735
+ ุฅูŠุงุด ุฏู‚ุฉ
736
+
737
+ 185
738
+ 00:15:33,310 --> 00:15:37,150
739
+ Calibration uncertainty ู‡ูˆ ุงู„ุฎุทุฃ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ
740
+
741
+ 186
742
+ 00:15:37,150 --> 00:15:40,990
743
+ ุงู„ู…ุนุงูŠุฑุฉ is another common source of bias
744
+
745
+ 187
746
+ 00:15:40,990 --> 00:15:41,810
747
+ uncertainty
748
+
749
+ 188
750
+ 00:15:44,360 --> 00:15:48,100
751
+ ุนู…ู„ูŠุฉ ุงู„ู…ุนุงูŠูŠุฑ ุชุชุทู„ุจ ูŠูƒูˆู† ููŠ ุนู†ุฏู‰ ุงุดูŠ ู…ุฑุฌุนู‰ ุนุดุงู†
752
+
753
+ 189
754
+ 00:15:48,100 --> 00:15:51,900
755
+ ุงู‚ุงุฑู† ููŠู‡ requires a reference or standard against
756
+
757
+ 190
758
+ 00:15:51,900 --> 00:15:57,000
759
+ which system response can be compared ูŠุนู†ูŠ ุนุดุงู†
760
+
761
+ 191
762
+ 00:15:57,000 --> 00:16:04,640
763
+ ุงู†ุง ุงุนุฑู ุนู†ุฏู‰ ุฌู‡ุงุฒ ู…ูŠุฒุงู† ูŠุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉ
764
+
765
+ 192
766
+ 00:16:04,640 --> 00:16:12,070
767
+ ูŠุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉู„ุฃู† ุนุดุงู† ุฃุนู…ู„ู‡ calibration ู…ุซู„ุง
768
+
769
+ 193
770
+ 00:16:12,070 --> 00:16:19,090
771
+ ู†ุญูƒูŠ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ mass range ู„
772
+
773
+ 194
774
+ 00:16:19,090 --> 00:16:31,810
775
+ .. ู„ู„ู…ูŠุฒุงู† ู…ุซู„ุง ู…ู† ุณูุฑ ู„ุจูŠุช kilogram to
776
+
777
+ 195
778
+ 00:16:31,810 --> 00:16:36,480
779
+ calibrated ุนุดุงู† ุฃุนู…ู„ู‡ calibrationู…ู…ูƒู† ุงุนู…ู„ ุชุฌุฑุจุฉ
780
+
781
+ 196
782
+ 00:16:36,480 --> 00:16:44,340
783
+ ุงุฌูŠุจ ุจู„ูˆูƒุงุช ุฃูˆุฒุงู†ู‡ุง ู…ุนู„ูˆู…ุฉ ุจุดูƒู„ ุฏู‚ูŠู‚ ุฌุฏุง ูŠูƒูˆู† ุนู†ุฏู‡
784
+
785
+ 197
786
+ 00:16:44,340 --> 00:16:51,160
787
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard weight
788
+
789
+ 198
790
+ 00:16:51,160 --> 00:16:56,520
791
+ ูˆููŠ
792
+
793
+ 199
794
+ 00:16:56,520 --> 00:17:01,140
795
+ ุนู†ุฏ ุงู„ observed weight
796
+
797
+ 200
798
+ 00:17:05,480 --> 00:17:08,900
799
+ ุงู„ู„ูŠ ุจุงุฎุฏู‡ุง ู…ู† ุงู„ุฌู‡ุงุฒ ุงูˆู„ ู…ุง ุงุดุบู„ ุงู„ุฌู‡ุงุฒ ุงู„ู…ูุฑูˆุถ
800
+
801
+ 201
802
+ 00:17:08,900 --> 00:17:15,960
803
+ ูŠุนุทูŠู†ูŠ ุงูŠู‡ุŸ Zero ุงู†ุง ู…ุด ู‡ุญุท ุนู„ูŠู‡ ูˆุฒู†ุŒ ู‡ุงูŠ Zero ู…ุน
804
+
805
+ 202
806
+ 00:17:15,960 --> 00:17:24,700
807
+ Zero ู„ูˆ ุญุทูŠุช ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุซู„ุง ุงูˆ ุฎู„ูŠู†ูŠ ุงุญุท
808
+
809
+ 203
810
+ 00:17:24,700 --> 00:17:32,480
811
+ ู…ุซู„ุง ุนุดุฑูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุงู„ูƒุชู„ุฉ ู‡ู†ุง ุงู†ุง ุจุงุฎุฏ ู‚ุฑุงุฑ ู…ู†
812
+
813
+ 204
814
+ 00:17:32,480 --> 00:17:38,680
815
+ ุงู„ุฌู‡ุงุฒ ู‡ุชุนุทูŠู†ูŠ ุนุดุฑูŠู†ู…ู…ูƒู† ู…ู…ูƒู† ู„ุฃ ุตุญ ุญุท ู…ุซู„ุง ุนุดุฑูŠู†
816
+
817
+ 205
818
+ 00:17:38,680 --> 00:17:51,940
819
+ ู…ุซู„ุง point one ูˆ ุจุนุฏูŠู† ุญุทูŠุช ุงุฑุจุนูŠู† ุชุทูŠุจ
820
+
821
+ 206
822
+ 00:17:51,940 --> 00:18:01,000
823
+ ู…ุซู„ุง ุงุฑุจุนูŠู† point two ุญุทูŠุช
824
+
825
+ 207
826
+ 00:18:01,000 --> 00:18:01,600
827
+ ุณุชูŠู†
828
+
829
+ 208
830
+ 00:18:05,570 --> 00:18:16,270
831
+ ุนุทูŠู†ุง ุณุชูŠู† point ู…ุซู„ุง three ุญุทูŠุช ุชู…ุงู†ูŠู† ู…ุซู„ุง
832
+
833
+ 209
834
+ 00:18:16,270 --> 00:18:22,750
835
+ ุงุนุทุชู†ู‰ ุชู…ุงู†ูŠู† point five
836
+
837
+ 210
838
+ 00:18:22,750 --> 00:18:33,050
839
+ ุญุทูŠุช ู…ูŠุฉ ุงุนุทุชู†ู‰ ู…ูŠุฉ point four
840
+
841
+ 211
842
+ 00:18:37,090 --> 00:18:41,990
843
+ ู„ุฃู† ุฃู†ุง ุจุฏุฃุช ุนู…ู„ุช loading ูŠุนู†ูŠ ุจุฏุฃุช ุงู„ูˆุฒู† ุจุดูƒู„
844
+
845
+ 212
846
+ 00:18:41,990 --> 00:18:45,790
847
+ ู…ุชุตุนุจุŒ ุจุนุฏูŠู† ุจุฏุฃุช ุฃุฎูู ุงู„ุฃูˆุฒุงู† ุดูˆูŠู‡ ุดูˆูŠู‡ุŒ ุจุดูŠุฑุด
848
+
849
+ 213
850
+ 00:18:45,790 --> 00:18:50,390
851
+ ุงู„ุฃูˆุฒุงู† ูˆ ุจุญุท ูˆุฒู†ุŒ ู„ุฃ ุจุฎููุŒ ุญุทูŠุช ุชู…ุงู†ูŠู†
852
+
853
+ 214
854
+ 00:18:53,140 --> 00:19:01,740
855
+ ุชู…ุงู†ูŠู† ุงูˆ ุณุชูŠู† ูˆุงุฑุจุนูŠู† ูˆุนุดุฑูŠู† ูˆุฒูŠุฑูˆ ูˆุงุตู„ุช ุงุฎุฏ
856
+
857
+ 215
858
+ 00:19:01,740 --> 00:19:06,940
859
+ ู‚ุฑุงุฑุงุช ู…ุซู„ุง ุทุจุนุง ุฏูŠ ุชู…ุงู†ูŠู† ู…ุซู„ุง ุชู…ุงู†ูŠู† ุงูˆ ุชุณุนุฉ
860
+
861
+ 216
862
+ 00:19:06,940 --> 00:19:18,960
863
+ ูˆุณุจุนูŠู† ุชู…ุงู†ูŠู† point two then ุชุณุนุฉ ูˆุฎู…ุณูŠู† point
864
+
865
+ 217
866
+ 00:19:23,820 --> 00:19:34,260
867
+ four ู‡ู†ุง ุงุนุทุชู†ู‰ ุงุฑุจุนูŠู† ุชุณุนุฉ ูˆุชู„ุงุชูŠู† point ุชุณุนุฉ ู‡ู†ุง
868
+
869
+ 218
870
+ 00:19:34,260 --> 00:19:41,180
871
+ ุงุนุทุชู†ู‰ ุชุณุนุชุงุด point ุชุณุนุฉ
872
+
873
+ 219
874
+ 00:19:41,180 --> 00:19:48,760
875
+ ูˆ ู‡ู†ุง ุงุนุทุชู†ู‰ point one
876
+
877
+ 220
878
+ 00:19:48,760 --> 00:19:54,610
879
+ ู…ุซู„ุง ุงุฎุฏุช ุงู„ู‚ุฑุงุฑุงุช ู‡ุฐู‡ู‡ุฐู‡ ุงู„ real values ุงูˆ ุงู„
880
+
881
+ 221
882
+ 00:19:54,610 --> 00:20:00,110
883
+ standard values ู‡ุฐู‡ ุงู„ observed values ุงุฐุง ุจุนู…ู„
884
+
885
+ 222
886
+ 00:20:00,110 --> 00:20:07,370
887
+ plot ุฎู„ู†ุง ู†ุนู…ู„ plot ุงู„ู„ูŠ ู‡ุงุชูˆู† ุจุณ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุงู„
888
+
889
+ 223
890
+ 00:20:07,370 --> 00:20:10,790
891
+ Excel ุทุจุนุง ู‡ุฐู‡ ู‚ุฑุงุกุงุช ุงูุชุฑุงุถูŠุฉ
892
+
893
+ 224
894
+ 00:20:24,230 --> 00:20:33,090
895
+ ูŠุนู†ูŠ ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard ูˆู‡ูŠ
896
+
897
+ 225
898
+ 00:20:33,090 --> 00:20:38,510
899
+ ุงู„ observed ุงู„
900
+
901
+ 226
902
+ 00:20:38,510 --> 00:20:43,990
903
+ standard ุงุชูˆู†ูŠ ุงู„ู‚ุฑุงุกุงุช ุฏูŠ ุฎู„ู‘ูŠู†ูŠ ุงุญู†ุง ู†ูƒูˆู† ุณูุฑ
904
+
905
+ 227
906
+ 00:20:43,990 --> 00:20:47,870
907
+ ุณูุฑ
908
+
909
+ 228
910
+ 00:20:50,120 --> 00:21:00,480
911
+ ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ ุชู…ุงู†ูŠู† ุณุชูŠู† ุงุฑุจุนูŠู†
912
+
913
+ 229
914
+ 00:21:00,480 --> 00:21:09,720
915
+ ุนุดุฑูŠู† ุฒูŠุฑูˆ ุงู„ observe ุจุชุทูˆู„ ุงู„ุฃุฑู‚ุงู… ุงู„ุณูุฑ ุนุดุฑูŠู†
916
+
917
+ 230
918
+ 00:21:09,720 --> 00:21:14,100
919
+ ุงู„ุณูุฑ ุนุดุฑูŠู† point ูˆุงุญุฏ ุนุดุฑูŠู† point ูˆุงุญุฏ ุงุฑุจุนูŠู†
920
+
921
+ 231
922
+ 00:21:14,100 --> 00:21:17,240
923
+ point ุงุชู†ูŠู† ุณุชูŠู† point ุชู„ุงุชุฉ
924
+
925
+ 232
926
+ 00:21:21,330 --> 00:21:35,790
927
+ 100.4 80.2 59.4 39.9 19.9 0.1
928
+
929
+ 233
930
+ 00:22:01,610 --> 00:22:09,530
931
+ ุฎู„ู‘ูŠู†ูŠ ุฃู† ุฃุถูŠู .. ุฃุถูŠู chart
932
+
933
+ 234
934
+ 00:22:37,870 --> 00:22:40,730
935
+ ุฎู„ู‘ูŠู†ูŠ ุฃุบูŠุฑ ู†ูˆุน ุงู„ chart ุฎู„ู‘ูŠู†ูŠ ุงุณู…ู‡ scatter
936
+
937
+ 235
938
+ 00:22:45,220 --> 00:22:48,840
939
+ ุฎู„ู‘ูŠู†ูŠ ุฃุชุฃูƒุฏ ุงู„ data ู‡ู…ูˆู„ู‡ุง ุตุญ ุฎู„ู‘ูŠู†ูŠ ุฃุดูŠู„ู‡ุง ูƒู„ู‡ุง
940
+
941
+ 236
942
+ 00:22:48,840 --> 00:22:51,980
943
+ add
944
+
945
+ 237
946
+ 00:22:51,980 --> 00:23:05,380
947
+ ุงู„ x axis ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard ูˆ ุงู„ y axis ุงู„ู„ูŠ
948
+
949
+ 238
950
+ 00:23:05,380 --> 00:23:06,020
951
+ ู‡ูˆ ุงู„ observed
952
+
953
+ 239
954
+ 00:23:18,030 --> 00:23:24,770
955
+ ุทุจ ุจุฏูƒูˆุง ุชู„ุงุญุธูˆุง ูŠุนู†ูŠ
956
+
957
+ 240
958
+ 00:23:24,770 --> 00:23:30,650
959
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู†ุง ุจุฏุฃุช ุทุงู„ุน ุทู„ูˆุน ุณูุฑ ุนุดุฑูŠู† ุงุฑุจุนูŠู†
960
+
961
+ 241
962
+ 00:23:30,650 --> 00:23:35,010
963
+ ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ ุจุนุฏูŠู† ุงู†ุฒู„ุช
964
+
965
+ 242
966
+ 00:23:38,180 --> 00:23:43,620
967
+ ุชู…ุงู†ูŠู† ุณุชูŠู† ุงุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ูŠุนู†ูŠ ุนู†ุฏ ุงู„ุนุดุฑูŠู† ู‡ูƒูˆู†
968
+
969
+ 243
970
+ 00:23:43,620 --> 00:23:52,480
971
+ ููŠู‡ ู‚ุฑุฃุชูŠู† ู„ูˆ ุงู†ุง ุงูƒุจุฑ ู‡ู†ุง ุนู†ุฏ ุงู„ุนุดุฑูŠู† ุดุงูŠููŠู†
972
+
973
+ 244
974
+ 00:23:52,480 --> 00:23:59,620
975
+ ุนู†ุฏ ู‡ู†ุง ููŠู‡ ู‚ุฑุฃุชูŠู† ู…ุด ู…ู†ุทุจู‚ูŠู† ุนู„ู‰ ุจุนุถ ูˆ ู†ูุณ
976
+
977
+ 245
978
+ 00:23:59,620 --> 00:24:05,440
979
+ ุงู„ุงุดุฑุงุฎุงุช ู…ุซู„ุง ุนู†ุฏ ุงู„ุณุชูŠู† ุนู†ุฏ ุงู„ุณุชูŠู†
980
+
981
+ 246
982
+ 00:24:12,090 --> 00:24:17,390
983
+ ู‡ูŠ ุจุฑุถู‡ ุนู†ุฏูŠ ุงูŠุดุŸ ู‚ุฑุงุกุชูŠู† ูุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุนู†ุฏูŠ two
984
+
985
+ 247
986
+ 00:24:17,390 --> 00:24:25,030
987
+ curves ุฃุตู„ curve ุฃูˆุตู„ ุงู„ู†ู‚ุงุท ู‡ุฐุง
988
+
989
+ 248
990
+ 00:24:25,030 --> 00:24:29,070
991
+ ููŠ ุงู„ loading ูˆุงู„ู†ู‚ุงุท ููŠ ุงู„ุฑุงุฌุน ููŠ ุงู„ unloading
992
+
993
+ 249
994
+ 00:24:29,070 --> 00:24:30,970
995
+ ู‡ูŠูƒูˆู† ููŠ ุจูŠู†ู‡ู… area
996
+
997
+ 250
998
+ 00:24:33,780 --> 00:24:36,520
999
+ area ู‡ุฐู‡ ุงู„ area ุงู„ู„ูŠ ู‡ูŠ ุงู„ history ุฅุฐุง ููŠู‡ ุงุฎุชู„ุงู
1000
+
1001
+ 251
1002
+ 00:24:36,520 --> 00:24:40,280
1003
+ ููŠ ุงู„ loading ุนู† ุงู„ unloading ู…ู…ูƒู† ุชูƒูˆู† ู„ุนุฏุฉ ุฃุณุจุงุจ
1004
+
1005
+ 252
1006
+ 00:24:40,280 --> 00:24:46,760
1007
+ ุงู„ friction ุงู„ุงุญุชูƒุงูƒ ุฃูˆ ุฅุฐุง ููŠ ูุฑุงุบุงุช ููŠ ู…ุซู„ุง ููŠ
1008
+
1009
+ 253
1010
+ 00:24:46,760 --> 00:24:49,680
1011
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจูŠู‚ูŠุต ุจุงุณุชุฎุฏุงู… ุงู„ุชุฑูˆุณ ุฃูˆ ุดุนุฑ ููŠู‡
1012
+
1013
+ 254
1014
+ 00:24:49,680 --> 00:24:53,100
1015
+ ูุฑุงุบุงุช ูุงู„ loading ุจูŠูƒูˆู† ุถุบุท ู„ู…ุง ู†ุฑุฌุน ุจูŠุตูŠุฑ ุฅุดูŠ
1016
+
1017
+ 255
1018
+ 00:24:53,100 --> 00:25:00,120
1019
+ ุชุงู†ูŠ ุทุจ ู…ู…ูƒู† ูŠุทู„ุจ ู…ู†ู†ุง ู†ุญุณุจ ู‡ุงูŠ ู…ุณุงุญุฉ ุฃูˆ ุชู†ุญุณุจ ุงู‡
1020
+
1021
+ 256
1022
+ 00:25:00,740 --> 00:25:03,840
1023
+ ุงู„ุงู† ุฎู„ูŠู†ูŠ ุงูˆู„ ุดูŠ ุงู†ุง ุนุดุงู† ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1024
+
1025
+ 257
1026
+ 00:25:03,840 --> 00:25:04,460
1027
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1028
+
1029
+ 258
1030
+ 00:25:04,460 --> 00:25:06,960
1031
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1032
+
1033
+ 259
1034
+ 00:25:06,960 --> 00:25:07,620
1035
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1036
+
1037
+ 260
1038
+ 00:25:07,620 --> 00:25:13,040
1039
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1040
+
1041
+ 261
1042
+ 00:25:13,040 --> 00:25:15,040
1043
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1044
+
1045
+ 262
1046
+ 00:25:15,040 --> 00:25:15,080
1047
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1048
+
1049
+ 263
1050
+ 00:25:15,080 --> 00:25:26,800
1051
+ ุงู†ุง ุงู†ุง
1052
+
1053
+ 264
1054
+ 00:25:37,290 --> 00:25:44,570
1055
+ ุงู„ุงู† ุชุทู„ุนูˆุง ุนู†ุฏู‰ ู„ูˆ ูƒุงู† .. ู„ูˆ ูƒุงู† ุงู„ุฌู‡ุงุฒ .. ู„ูˆ ูƒุงู†
1056
+
1057
+ 265
1058
+ 00:25:44,570 --> 00:25:50,110
1059
+ ุงู„ุฌู‡ุงุฒ perfect ู…ูŠุฉ ู…ูŠุฉ ู…ุง ูŠูุด ููŠู‡ error ุงู„ู…ูุฑูˆุถ ู„ูˆ
1060
+
1061
+ 266
1062
+ 00:25:50,110 --> 00:25:57,570
1063
+ ุญูƒูŠุชู‡ุง ุฏูŠ x ู‡ุฐู‡ y ุงู„ู…ูุฑูˆุถ y ุชุณุงูˆูŠ x ูŠุนู†ูŠ ุฅุฐุง ู‡ุฏุง
1064
+
1065
+ 267
1066
+ 00:25:57,570 --> 00:26:04,390
1067
+ perfect ุฅุฐุง ูƒุงู†ุช ุงู„ุญู‚ูŠู‚ูŠุฉ zero ู‡ุทู„ุน zero ุฅุฐุง ู‡ุฐู‡
1068
+
1069
+ 268
1070
+ 00:26:04,390 --> 00:26:11,920
1071
+ ุนุดุฑูŠู† ู‡ุทู„ุน ุนุดุฑูŠู†ุงู„ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ู‡ุชุทู„ุน ุงุฑุจุนูŠู† ู„ูƒู† ู…ุด
1072
+
1073
+ 269
1074
+ 00:26:11,920 --> 00:26:15,480
1075
+ perfect ู„ุด ููŠู‡ ุงุฎุชู„ุงู ููˆุงุถุญ ุงู† ุนู†ุฏูŠ ุทู„ุน ุงู„ุงุณู„ูˆุจ
1076
+
1077
+ 270
1078
+ 00:26:15,480 --> 00:26:25,320
1079
+ ุงู„ุญู‚ูŠู‚ูŠ ู‡ุฐุง y ุฏูŠ ุงุณู…ู‡ ideal ุงู„ y ุงู„ real ุจุงู„ุณุงูˆู„
1080
+
1081
+ 271
1082
+ 00:26:25,320 --> 00:26:36,420
1083
+ ู‡ูŠ ูˆุงุญุฏ point O O ุชู„ุงุช ุงุชู†ูŠู† X minus point O
1084
+
1085
+ 272
1086
+ 00:26:39,700 --> 00:26:48,940
1087
+ ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ due to calibration ุงุณุชุทุนู†ุง
1088
+
1089
+ 273
1090
+ 00:26:48,940 --> 00:26:55,640
1091
+ ุงู†ู‚ุงุฑู† ูˆ ุทู„ุนู†ุง ู…ุนุงุฏู„ุฉ care fit ุจูŠู† ุงู„
1092
+
1093
+ 274
1094
+ 00:26:55,640 --> 00:27:04,080
1095
+ observed value ูˆุงู„ standard value ู„ุงุญุธูˆุง ู‡ู†ุง ุนู†ุฏูŠ
1096
+
1097
+ 275
1098
+ 00:27:04,080 --> 00:27:07,920
1099
+ ุงู„ minus point ุฎู…ุณ zero point ุฎู…ุณ ุณุชุฉ ุฎู…ุณุฉ ุงูŠุด ู‡ุฐูŠ
1100
+
1101
+ 276
1102
+ 00:27:07,920 --> 00:27:08,500
1103
+ ุชู…ุซู„
1104
+
1105
+ 277
1106
+ 00:27:11,150 --> 00:27:14,190
1107
+ physically ุตุญูŠุญ ุงู„ y intercept ุงู„ู…ูุฑูˆุถ ู‡ูˆ ูŠู†ุฒู„ ุนู„ู‰
1108
+
1109
+ 278
1110
+ 00:27:14,190 --> 00:27:18,050
1111
+ ุงู„ุณูุฑ ู„ูƒู† ู‡ูˆ ู…ุง ู†ุฒู„ุด ุนู„ู‰ ุงู„ุณูุฑ ู†ุฒู„ ุชุญุช ุงู„ุณูุฑ ุดูˆูŠุฉ
1112
+
1113
+ 279
1114
+ 00:27:18,050 --> 00:27:26,750
1115
+ ูŠุนู†ูŠ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ุงู„ standard ูŠูƒูˆู† ุฅุด ุฒูŠ ู‡ูŠูƒ ู‡ูŠูƒ ู‡ุฐุง
1116
+
1117
+ 280
1118
+ 00:27:26,750 --> 00:27:31,650
1119
+ ุงู„ perfect ู„ูƒู† ุงู„ุฅุด ู…ุด perfect ู„ุญุธุฉ ุงู„ slope ุฃูƒุชุฑ
1120
+
1121
+ 281
1122
+ 00:27:31,650 --> 00:27:39,830
1123
+ ู…ู† ูˆุงุญุฏ ู…ุนู†ุงุชู‡ ู‡ูŠูƒูˆู† ุฅุด ุฒูŠ ู‡ูŠูƒ ู‡ุฐุง
1124
+
1125
+ 282
1126
+ 00:27:41,470 --> 00:27:53,310
1127
+ ุงู„ู€ Ideal ู‡ุฐุง ุงูŠู‡ ุงู„ู€ Actual ููŠู† ุฏูŠ Offset ู‡ุฐุง
1128
+
1129
+ 283
1130
+ 00:27:53,310 --> 00:27:56,130
1131
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Zero ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Intercept ูุนู„ุง ู‡ูˆ ุงู„ู€
1132
+
1133
+ 284
1134
+ 00:27:56,130 --> 00:28:03,510
1135
+ Zero Offset ู‡ุฐุง
1136
+
1137
+ 285
1138
+ 00:28:03,510 --> 00:28:07,710
1139
+ ุฏูŠ ุงู„ calibration ู‡ุฐุง ุงู„ู€ Zero Offsetูˆุงุถุญ ุฏุงูŠู…ุง
1140
+
1141
+ 286
1142
+ 00:28:07,710 --> 00:28:11,990
1143
+ ุจูŠุตูŠุฑ shifting ุจ .. ุจ .. ุจ .. ุจ .. ู‡ุฏ ุจูŠุณู…ูƒ ุงู„
1144
+
1145
+ 287
1146
+ 00:28:11,990 --> 00:28:19,750
1147
+ patient ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฏ ุงู„ zero opposite ุงู„ุงู†
1148
+
1149
+ 288
1150
+ 00:28:19,750 --> 00:28:28,790
1151
+ ู„ูˆ ุงุฌูŠ ุงุทุฑุญ ู‡ุฏูŠ ู…ู† ู‡ุฏูŠ ูˆูŠู‡ ุฑูŠุงู„ ุฎุฏู†ุง ู†ุณู…ูŠู‡ุง ูˆูŠู‡
1152
+
1153
+ 289
1154
+ 00:28:28,790 --> 00:28:29,150
1155
+ ุฑูŠุงู„
1156
+
1157
+ 290
1158
+ 00:28:43,390 --> 00:28:49,030
1159
+ delta y so
1160
+
1161
+ 291
1162
+ 00:28:49,030 --> 00:28:58,430
1163
+ y real minus y ideal ู‡ุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู‡ูŠ one
1164
+
1165
+ 292
1166
+ 00:28:58,430 --> 00:29:06,570
1167
+ point oh oh ุชู„ุงุช ุงุชู†ูŠู† x minus point oh ุฎู…ุณุฉ ุณุชุฉ
1168
+
1169
+ 293
1170
+ 00:29:06,570 --> 00:29:12,090
1171
+ ุฎู…ุณุฉ minus x ูŠุนู†ูŠ
1172
+
1173
+ 294
1174
+ 00:29:12,090 --> 00:29:12,710
1175
+ ู‡ูŠุณุงูˆูŠ
1176
+
1177
+ 295
1178
+ 00:29:18,870 --> 00:29:37,570
1179
+ ุงูˆ ุญุณุงุจ ู…ุจุงุดุฑุฉ ูŠุนู†ูŠ
1180
+
1181
+ 296
1182
+ 00:29:37,570 --> 00:29:41,590
1183
+ ู„ูˆ ุจุฏู‰ ุงุนู…ู„ adjustment ู„ูˆ ุจุฏู‰ ุงุนู…ู„ adjustmentุจุฏูŠ
1184
+
1185
+ 297
1186
+ 00:29:41,590 --> 00:29:51,970
1187
+ ุงูƒุชุจ ู‡ูŠ ุนู†ุฏ ุงู„ y ุฑูŠุงู„ ุจูŠุณุงูˆูŠ 1.0032x-.0565
1188
+
1189
+ 298
1190
+ 00:29:51,970 --> 00:30:01,590
1191
+ ูˆ ุงู„ y ุงูŠุฏูŠุงู„ ุจูŠุณุงูˆูŠ x ู…ู…ูƒู† ุงู†ุง ุงุนู…ู„ ุฒูŠ algorithm
1192
+
1193
+ 299
1194
+ 00:30:01,590 --> 00:30:06,740
1195
+ ูŠุนู†ูŠ ู‡ุฐุง ููŠ ูƒุฐุง ุทุฑูŠู‚ุฉุฅู† ูˆ ุฃู†ุง ุนุดุงู† ุฃุฎู„ูŠ ุงุนู…ู„
1196
+
1197
+ 300
1198
+ 00:30:06,740 --> 00:30:10,740
1199
+ calibration ู„ู„ุฌู‡ุงุฒ ูŠุทูŠู†ูŠ ู‚ุฑุงุกุงุช ุฃูƒุซุฑ ุฏู‚ุฉ ู…ู…ูƒู† ุฃุญูƒูŠ
1200
+
1201
+ 301
1202
+ 00:30:10,740 --> 00:30:23,880
1203
+ ุงู„ุชุงู„ูŠ ุถูŠู add ูˆุงุญุฏ point o ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ to y
1204
+
1205
+ 302
1206
+ 00:30:23,880 --> 00:30:29,540
1207
+ real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ
1208
+
1209
+ 303
1210
+ 00:30:29,540 --> 00:30:29,760
1211
+ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real
1212
+
1213
+ 304
1214
+ 00:30:29,760 --> 00:30:30,040
1215
+ ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y
1216
+
1217
+ 305
1218
+ 00:30:30,040 --> 00:30:31,220
1219
+ real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ
1220
+
1221
+ 306
1222
+ 00:30:31,220 --> 00:30:32,980
1223
+ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real
1224
+
1225
+ 307
1226
+ 00:30:32,980 --> 00:30:33,900
1227
+ ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y
1228
+
1229
+ 308
1230
+ 00:30:33,900 --> 00:30:40,820
1231
+ real ู…ุงู†ุน1.0032xx
1232
+
1233
+ 309
1234
+ 00:30:40,820 --> 00:30:45,420
1235
+ ู…ุซู„ุง ุจุนุฏูŠู†
1236
+
1237
+ 310
1238
+ 00:30:45,420 --> 00:30:51,200
1239
+ ู…ุซู„ุง ู†ุญูƒูŠ ู„ู‡ divide y
1240
+
1241
+ 311
1242
+ 00:30:51,200 --> 00:30:59,840
1243
+ real prime by 1.0032 ูŠุตุจุญ y real w prime
1244
+
1245
+ 312
1246
+ 00:31:04,250 --> 00:31:10,090
1247
+ X ุทุจุนุง ู…ุด ู‡ุชุทู„ุน X ุณูŠุฆุฉ ูู…ู…ูƒู† ู‡ุฐู‡ ุทุฑูŠู‚ุฉ ุงู„
1248
+
1249
+ 313
1250
+ 00:31:10,090 --> 00:31:11,630
1251
+ calibration ุงุญูƒูŠ ุงู„ู„ู‡ ุงู†ุง ุจุฏูŠ ุงุนู…ู„ adjustment
1252
+
1253
+ 314
1254
+ 00:31:11,630 --> 00:31:17,630
1255
+ ู„ุฌู‡ุงุฒ ูŠูƒูˆู† ุฌู‡ุงุฒ ู‚ุงุจู„ ู„ุจุฑู…ุฌุฉ ุงุญูƒูŠู„ู‡ ู…ู† ูƒู„ ู‚ุฑุงุกุฉ ุงูˆู„
1256
+
1257
+ 315
1258
+ 00:31:17,630 --> 00:31:26,590
1259
+ ุงุด step one ุจุชุฎู„ุต ู…ู† ุงู„ุงุด ู…ู† ุงู„ zero offset ุถุบุทู„ู‡
1260
+
1261
+ 316
1262
+ 00:31:26,590 --> 00:31:33,180
1263
+ ู‡ุฐุง ุจุนุฏูŠู† ุงู„ slopeุจุฏูŠ ุงุฎู„ูŠ ูˆุงุญุฏ ุจู‚ุณู… ุนู„ูŠู‡ุง ุฏู‡ slow
1264
+
1265
+ 317
1266
+ 00:31:33,180 --> 00:31:39,660
1267
+ ุจุณ ูŠุฑูŠุงุด ูˆุงุญุฏ this is to calibrate to adjustุงู„
1268
+
1269
+ 318
1270
+ 00:31:39,660 --> 00:31:48,500
1271
+ device ุนุดุงู† ุงู‚ุชุฑุจ ู‚ุฑุงุกุชู‡ ู…ู† ุงู„ true value ุทุจุนุง ู…ุด
1272
+
1273
+ 319
1274
+ 00:31:48,500 --> 00:31:53,040
1275
+ ู‡ูŠุตู„ ุงู„ true value ุจุณ ู‡ูŠุตูŠุฑ ู‚ุฑูŠุจ ุฌุฏุง ู…ู† ุงู„ true
1276
+
1277
+ 320
1278
+ 00:31:53,040 --> 00:31:57,600
1279
+ value ู„ุฃู† ู‡ุฏ ู‡ูŠ calibration ูŠุนู†ูŠ ุงู†ุช ุงุชุฎุฐุช ุฎุทูˆุงุช
1280
+
1281
+ 321
1282
+ 00:31:57,600 --> 00:32:00,740
1283
+ ุญุณุงุจูŠุฉ ุงุชุฎุฐุช ุฎุทูˆุงุช ุญุณุงุจูŠุฉ ู„ูƒู† ููŠ ุงู„ุขุฎุฑ ุญุทูˆุง ุนู„ูŠ
1284
+
1285
+ 322
1286
+ 00:32:00,740 --> 00:32:07,540
1287
+ ูˆุฒู† ุฃูˆุฒู† ู‡ูˆ ู…ุด ู‡ูŠุชุจุน ู‡ุฏ 100% ู…ุน ุงู† ุงู†ุง ุงุนู…ู„ุช ุงู„
1288
+
1289
+ 323
1290
+ 00:32:07,540 --> 00:32:15,880
1291
+ calibrationุจุณ ู‡ู‚ู„ู„ ash ู„ุงุจุชุนุงุฏ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
1292
+
1293
+ 324
1294
+ 00:32:15,880 --> 00:32:33,720
1295
+ ุทูŠุจ
1296
+
1297
+ 325
1298
+ 00:32:49,480 --> 00:32:54,540
1299
+ ู…ุนู†ุงุชู‡ ุงู„ calibration uncertainุฉ
1300
+
1301
+ 326
1302
+ 00:32:54,540 --> 00:32:58,380
1303
+ ุงู„ุฎุทุฃ ููŠ ุงู„ู…ุนุงุฑุถ is another common source of bias
1304
+
1305
+ 327
1306
+ 00:32:58,380 --> 00:33:03,500
1307
+ uncertainุฉ ูˆุดูˆูู†ุง ูƒูŠู ุงู„ zero offset ู‡ูƒุฐุง ุงู„
1308
+
1309
+ 328
1310
+ 00:33:03,500 --> 00:33:05,880
1311
+ calibration requires a reference or standard
1312
+
1313
+ 329
1314
+ 00:33:05,880 --> 00:33:10,600
1315
+ against which system response is measured or is
1316
+
1317
+ 330
1318
+ 00:33:10,600 --> 00:33:17,870
1319
+ compared reference may be fixed or one valuedููŠ
1320
+
1321
+ 331
1322
+ 00:33:17,870 --> 00:33:20,590
1323
+ ุงู„ุญุงู„ุฉ ุงุญู†ุง ุนู…ู„ู†ุงู‡ุง fixed ูˆู„ุง variableุŸ ูƒู†ุช ุฃุบูŠุฑ
1324
+
1325
+ 332
1326
+ 00:33:20,590 --> 00:33:28,280
1327
+ ุงู„ุฃูˆุฒุงู† ู„ูƒู† ููŠ ุฃุญูŠุงู† ุชุงู†ูŠุฉ ูˆูƒุงู†ุช one valueุฒูŠ one
1328
+
1329
+ 333
1330
+ 00:33:28,280 --> 00:33:30,820
1331
+ value ููŠ ุญุงู„ุฉ ุงู„ temperature scaleุŒ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ
1332
+
1333
+ 334
1334
+ 00:33:30,820 --> 00:33:33,800
1335
+ ุงู„ reference ุนู†ุฏู†ุง ู…ู…ูƒู† ูŠูƒูˆู† ุฅูŠุดุŸ ุงู„ triple point
1336
+
1337
+ 335
1338
+ 00:33:33,800 --> 00:33:37,160
1339
+ ู„ู„ู…ูŠู‡ุŒ triple point ู„ู„ู…ูŠู‡ ู‡ูŠ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู†
1340
+
1341
+ 336
1342
+ 00:33:37,160 --> 00:33:41,520
1343
+ ุงู„ู…ูŠู‡ ููŠ ุฃุญุฏ ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุงุฆู„ ุฃูˆ ุงู„ุบุงุฒูŠุฉ ุฃูˆ
1344
+
1345
+ 337
1346
+ 00:33:41,520 --> 00:33:45,380
1347
+ ุงู„ุตู„ุจุฉ ุฃูˆ ุงู„ triple point ุฃูˆ ุงู„ melting point for
1348
+
1349
+ 338
1350
+ 00:33:45,380 --> 00:33:48,420
1351
+ other materials ุฒูŠ ุงู„ุฒู†ูƒ ูˆ ุงู„ุฃู„ู…ุงู†ูŠุง ูˆ ุงู„ุฏู‡ุจ ูˆ
1352
+
1353
+ 339
1354
+ 00:33:48,420 --> 00:33:48,920
1355
+ ุฎู„ุงูุง
1356
+
1357
+ 340
1358
+ 00:33:56,170 --> 00:34:00,630
1359
+ uncertainty of the standard should be considerably
1360
+
1361
+ 341
1362
+ 00:34:00,630 --> 00:34:03,550
1363
+ less than that of the system being calibrated ุงู†ุง
1364
+
1365
+ 342
1366
+ 00:34:03,550 --> 00:34:10,050
1367
+ ุจุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ ู…ุณุชุฎุฏู… ุฌู‡ุงุฒ ุฏู‚ูŠู‚ ุนุดุงู† ุนูŠุฑู‡ ุตุญ
1368
+
1369
+ 343
1370
+ 00:34:10,050 --> 00:34:15,330
1371
+ ู„ุงุฒู… ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงูˆ ุงู„ุฎุทุฃ ููŠ ุงู„ุฌู‡ุงุฒ ุงู„ู…ุนุงูŠุฑุฉ ุชูƒูˆู†
1372
+
1373
+ 344
1374
+ 00:34:15,330 --> 00:34:18,850
1375
+ ุงู‚ู„ ุจูƒุชูŠุฑ ู…ู† ุงู„ุฎุทุฃ ููŠ ุงู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุงู„ู„ูŠ ุจุฏู‡
1376
+
1377
+ 345
1378
+ 00:34:18,850 --> 00:34:24,380
1379
+ ุนูŠุฑู‡as a rule of thumb ูƒู‚ุงู†ูˆู† uncertainty of the
1380
+
1381
+ 346
1382
+ 00:34:24,380 --> 00:34:27,400
1383
+ standard device that will be used in calibrating
1384
+
1385
+ 347
1386
+ 00:34:27,400 --> 00:34:32,220
1387
+ our device should be no more than one tenth that
1388
+
1389
+ 348
1390
+ 00:34:32,220 --> 00:34:37,000
1391
+ of the system being considered ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุง ู…ูŠุฒุงู†
1392
+
1393
+ 349
1394
+ 00:34:37,000 --> 00:34:44,540
1395
+ ุจุฏูŠ ุฃุนูŠุฑู‡ ุงู„ uncertainty ููŠู‡ ู…ุซู„ุง ูˆุงุญุฏ ูู„ู…ูŠุฉ ุงู„ุฎุทุฃ
1396
+
1397
+ 350
1398
+ 00:34:44,540 --> 00:34:50,280
1399
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ุณุชุฎุฏู…ู‡ ููŠ ุงู„ู…ุนุงูŠุฑุฉู…ุด ู„ุงุฒู… ุชูƒูˆู† ุงูˆ
1400
+
1401
+ 351
1402
+ 00:34:50,280 --> 00:34:54,680
1403
+ ู„ุงุฒู… ุชูƒูˆู† ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงูˆ ุงู„ uncertainty ููŠู‡ ุงู‚ู„ ู…ู†
1404
+
1405
+ 352
1406
+ 00:34:54,680 --> 00:35:05,900
1407
+ point ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุนุดุงู† ุงุทู„ุน ู†ุชุงุฆุฌ ู…ุนุชุจุฑุฉ ู‡ุฐุง
1408
+
1409
+ 353
1410
+ 00:35:05,900 --> 00:35:13,980
1411
+ ุญูƒูŠู†ุงู‡ุง instrument manufacturers ุงู„ู…ุตู†ุนูŠู† ู„ู„ุฃุฌู‡ุฒุฉ
1412
+
1413
+ 354
1414
+ 00:35:13,980 --> 00:35:18,550
1415
+ ุงู„ู‚ูŠุงุณ ุนุงุฏุฉุจูŠุนุทูˆุง calibration data with their
1416
+
1417
+ 355
1418
+ 00:35:18,550 --> 00:35:23,550
1419
+ products ุงู„ู„ูŠ ู…ู…ูƒู† ุงุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ uncertainty
1420
+
1421
+ 356
1422
+ 00:35:23,550 --> 00:35:30,840
1423
+ ููŠ ุงู„ุฌู‡ุงุฒ ูŠุนู†ูŠ ุงุฐุง ุฎุดูˆุง ุนู„ู‰ ุงู„ netูˆุดูˆู ูˆุงุณู…ู‡
1424
+
1425
+ 357
1426
+ 00:35:30,840 --> 00:35:36,340
1427
+ digital multimeter ุงูˆ ุดูˆูู‡ caliber ุฎุดู‡ ุนู„ู‰ ุดุฑูƒุงุช
1428
+
1429
+ 358
1430
+ 00:35:36,340 --> 00:35:40,320
1431
+ ู…ุดู‡ูˆุฑุฉ ู…ุฏูˆุฑ ุจุฏูƒ ุชุดูƒู„ู‡ุง ุงู† ุฏู‡ ุดุฑูƒุฉ caliber ูˆุฏุฎู„ ุนู„ู‰
1432
+
1433
+ 359
1434
+ 00:35:40,320 --> 00:35:43,220
1435
+ ุงู„ูƒุชุงู„ูˆุฌูŠ ุนู„ู‰ ุงู„ data sheet ุจุชุงุนุชู‡ ู‡ูŠูƒูˆู† ู…ุนุทูŠู„ูƒ
1436
+
1437
+ 360
1438
+ 00:35:43,220 --> 00:35:46,440
1439
+ ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„ uncertain ู‡ูŠูƒูˆู† .. ู‡ูŠูƒูŠุฏ ู…ุนุทูŠู„ูƒ ุงู„ู„ูŠ
1440
+
1441
+ 361
1442
+ 00:35:46,440 --> 00:35:51,120
1443
+ ู‡ูŠ ุงู„ linearity ุงู„ zero offset ุงู„ .. ุงู„ .. ุงู„
1444
+
1445
+ 362
1446
+ 00:35:51,120 --> 00:35:57,430
1447
+ linearity ุงู„ zero offset ูˆ ุงู„ hysteresisูุงู„ู…ุนู„ูˆู…ุงุช
1448
+
1449
+ 363
1450
+ 00:35:57,430 --> 00:36:00,970
1451
+ ู‡ุฐู‡ ุจุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ ุงู„ uncertainty ููŠ ุงู„ device
1452
+
1453
+ 364
1454
+ 00:36:00,970 --> 00:36:05,870
1455
+ ุงู„ู„ูŠ ุงู†ุง ุดุฑูŠู‡ ุทูŠุจ
1456
+
1457
+ 365
1458
+ 00:36:05,870 --> 00:36:12,210
1459
+ ู„ุงู† ุงู„ู…ูˆุถูˆุน ุงู„ุฌุฏูŠุฏ ู„ุงู† so far ุงุญู†ุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„
1460
+
1461
+ 366
1462
+ 00:36:12,210 --> 00:36:17,330
1463
+ bias uncertainty ุงู„ bias uncertainty ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„
1464
+
1465
+ 367
1466
+ 00:36:17,330 --> 00:36:22,240
1467
+ precision uncertainty ุงู„ precisionุฃู†ุง ุจู‚ูŠุณ ูŠุฏูŠุด
1468
+
1469
+ 368
1470
+ 00:36:22,240 --> 00:36:25,800
1471
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจุงุฎุฏู‡ุง ู…ู† ุฌู‡ุงุฒ ู…ุนูŠู† ุนู† ุงู„ value
1472
+
1473
+ 369
1474
+ 00:36:25,800 --> 00:36:29,200
1475
+ ุงู„ุฑูƒุฒูŠ ุฃู†ุง ุฃุฎุฏุช ู…ุซู„ุง ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ุจุนุฏ ุฃู† ุฃุฎุฏุช ุงู„ู…ุงุฆุฉ
1476
+
1477
+ 370
1478
+ 00:36:29,200 --> 00:36:32,560
1479
+ ู‚ุฑุงุกุฉ ุฃุฎุฏุช ู„ู‡ู… ุงู„ average ุจุนุฏู‡ุง ุญุณุจุช ุงู„ standard
1480
+
1481
+ 371
1482
+ 00:36:32,560 --> 00:36:35,340
1483
+ deviation ุงู„ standard deviation from the mean
1484
+
1485
+ 372
1486
+ 00:36:35,340 --> 00:36:39,900
1487
+ ู…ุนู†ุงู‡ ุงู„ precision ุจูŠุนุทูŠู†ุง ุงู„ุงู‚ุชุฑุงุจ ุงูˆ ุงู„ุงุจุชุนุงุฏ ุนู†
1488
+
1489
+ 373
1490
+ 00:36:39,900 --> 00:36:44,220
1491
+ ุงู„ mean value ู…ุด ุงู„ true value ูŠุนู†ูŠ ุงู„ precision
1492
+
1493
+ 374
1494
+ 00:36:44,220 --> 00:36:51,370
1495
+ ุจุชู…ุซู„ ู…ุซู„ how how spread we have aroundุงู„ central
1496
+
1497
+ 375
1498
+ 00:36:51,370 --> 00:36:56,030
1499
+ value ุฅุฐุง ุงู„ main value ู…ุซู„ุง ูƒู„ ู…ุง .. ู…ุง ู‚ู„ ุงู„
1500
+
1501
+ 376
1502
+ 00:36:56,030 --> 00:37:00,650
1503
+ band ู…ุนู†ุงุชู‡ I have precise .. I have precise
1504
+
1505
+ 377
1506
+ 00:37:00,650 --> 00:37:05,630
1507
+ measurement ูู‰ ูุฑู‚ ู†ุญู†ุง ู†ุชูƒู„ู… ุจูŠู† ุงู„ precision ูˆ
1508
+
1509
+ 378
1510
+ 00:37:05,630 --> 00:37:09,150
1511
+ ุงู„ accuracy ุงู„ accuracy ู‡ู‰ ุงู„ูุฑู‚ ุจูŠู† ุงู„ true value
1512
+
1513
+ 379
1514
+ 00:37:09,150 --> 00:37:13,250
1515
+ ุฃูˆ ู†ุชู…ุซู„ how far .. how far our measurement from
1516
+
1517
+ 380
1518
+ 00:37:13,250 --> 00:37:17,510
1519
+ the true valueprecision how far is the measurement
1520
+
1521
+ 381
1522
+ 00:37:17,510 --> 00:37:20,350
1523
+ from a central mean value of the same device
1524
+
1525
+ 382
1526
+ 00:37:20,350 --> 00:37:30,910
1527
+ ูˆุญูƒูŠู†ุงู‡ุง ููŠ ุงู„ุณุงุจู‚ ุทูŠุจ
1528
+
1529
+ 383
1530
+ 00:37:30,910 --> 00:37:36,290
1531
+ when only one when only one two or three ุงุฐุง ุงู†ุง
1532
+
1533
+ 384
1534
+ 00:37:36,290 --> 00:37:38,770
1535
+ ุจุงุฎุฏ ู‚ุฑุงุกุฉ ุงูˆ ู‚ุฑุงุฆุชูŠู† ุงูˆ ุชู„ุช ู‚ุฑุงุฆุชูŠู† ู‡ุฐุง ุงู„ู‚ุฑุงุกุงุช
1536
+
1537
+ 385
1538
+ 00:37:38,770 --> 00:37:39,450
1539
+ ุตุบูŠุฑุฉ ุฌุฏุง
1540
+
1541
+ 386
1542
+ 00:37:45,030 --> 00:37:48,050
1543
+ the confidence in terrorists calculated can be
1544
+
1545
+ 387
1546
+ 00:37:48,050 --> 00:37:53,170
1547
+ quite large ุงุญู†ุง ุญูƒูŠู†ุง ูƒู„ ู…ุง ู†ุฒูˆุฏ ุงู„ confidence in
1548
+
1549
+ 388
1550
+ 00:37:53,170 --> 00:37:57,650
1551
+ terrorists ูˆ ุญู„ูŠู†ุงู‡ุง ุจู…ุซุงู„ ุจูŠูƒูˆู†
1552
+
1553
+ 389
1554
+ 00:37:57,650 --> 00:38:04,170
1555
+ ุนู†ุฏ ุงู„ .. ุงู„ .. ุงู„ uncertainty ุจุงู„ุฒูŠุฏ ูŠุนู†ูŠ ูˆุงุญุฏ
1556
+
1557
+ 390
1558
+ 00:38:04,170 --> 00:38:08,310
1559
+ ุจูŠุจูŠุน ุจู„ูˆูƒุงุช
1560
+
1561
+ 391
1562
+ 00:38:08,310 --> 00:38:14,430
1563
+ ุงูˆ ุจูŠุจูŠุน ุทุงูˆู„ุงุชุจุญูƒูŠู„ูƒ ุงู†ุง ุจุจูŠุน ุงู„ุทุงูˆู„ุฉ ู‡ุฐู‡ ุทูˆู„ู‡ุง
1564
+
1565
+ 392
1566
+ 00:38:14,430 --> 00:38:23,430
1567
+ ุงู„ุทุงูˆู„ุฉ ู…ูŠุช ุตู…ุชูŠ plus or minus ูˆุงุญุฏ ุตู…ุชูŠ ุชุณุนุฉ
1568
+
1569
+ 393
1570
+ 00:38:23,430 --> 00:38:29,990
1571
+ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ุชุฃูƒุฏ ู…ุชุฃู‚ู† ุฏุฑุฌุฉ ุชุฃู‚ู† ูˆุงุญุฏ ุชุงู†ูŠ
1572
+
1573
+ 394
1574
+ 00:38:29,990 --> 00:38:33,770
1575
+ ุทุจุนุง ุงุฐุง ู‡ูˆ ุจุฏู‡ ูŠุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุงู†ู‡ ุทุงูˆู„ุฉ ุทูˆู„ู‡ุง ู…ูŠุช
1576
+
1577
+ 395
1578
+ 00:38:33,770 --> 00:38:41,420
1579
+ ุตู…ุชูŠ ุฒูŠุงุฏ ุงูˆ ู†ุงู‚ุตpoint one ุตู†ุทุฉ ู‡ุชุชูˆู‚ุน ุฏุฑุฌุฉ ุชูŠู‚ู†
1580
+
1581
+ 396
1582
+ 00:38:41,420 --> 00:38:46,960
1583
+ ุฒูŠุฏูŠ ูˆู„ุง ุชู‚ู„ุŸ ู‡ุชู‚ู„ ุงูƒูŠุฏ ูุจู†ุงุทู‡ ุญุงูƒูŠ ู„ูŠู‡ุŸ ุจุฏุฑุฌุฉ
1584
+
1585
+ 397
1586
+ 00:38:46,960 --> 00:38:50,520
1587
+ ุชูŠู‚ู† ุณุจุนูŠู† ูุงู„ู…ูŠุฉุŒ ุจู†ุงุทู‡ ูƒู„ ู…ุง ุงู„ answer ุชู†ุชู‡ูŠ
1588
+
1589
+ 398
1590
+ 00:38:50,520 --> 00:38:56,880
1591
+ ุจุงู„ุฒูŠุฏ ูƒู„ ู…ุง ุงู„ range ุจุชุงุน ุงู„ุชูŠู‚ู† ุจูˆุณุน ููŠ ู‡ุฐู‡
1592
+
1593
+ 399
1594
+ 00:38:56,880 --> 00:39:02,070
1595
+ ุงู„ุญุงู„ุฉyou may determine a narrow range of the mean
1596
+
1597
+ 400
1598
+ 00:39:02,070 --> 00:39:04,350
1599
+ value by treating precision errors ู…ู…ูƒู† ุงุชุนุงู…ู„
1600
+
1601
+ 401
1602
+ 00:39:04,350 --> 00:39:06,390
1603
+ with precision errors ู„ุงู† ู…ุงููŠุด ุนู†ุฏูŠ ุจูŠุงู†ุงุช ูƒุงููŠุฉ
1604
+
1605
+ 402
1606
+ 00:39:06,390 --> 00:39:10,650
1607
+ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ู‰ ุงุชุนุงู…ู„ุช ู…ุนุงู‡ ููŠ ุงู„ bias errors
1608
+
1609
+ 403
1610
+ 00:39:10,650 --> 00:39:15,070
1611
+ ูŠุนู†ูŠ ุจุญุงูˆู„ ุงุนู…ู„ estimation less than the deviation
1612
+
1613
+ 404
1614
+ 00:39:15,070 --> 00:39:18,570
1615
+ based on my knowledge of the device under
1616
+
1617
+ 405
1618
+ 00:39:18,570 --> 00:39:20,870
1619
+ consideration ุงู†ุง ุนู†ุฏู‰ ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ู…ุงููŠุด ุนู†ุฏูŠ
1620
+
1621
+ 406
1622
+ 00:39:20,870 --> 00:39:26,550
1623
+ ุจูŠุงู†ุงุช ูƒุงููŠุฉ ู…ู…ูƒู† ุงุชุนุงู…ู„ ุงู‚ุฏุฑ ุงู‚ุฏุฑุงู„ .. ุงู„
1624
+
1625
+ 407
1626
+ 00:39:26,550 --> 00:39:31,770
1627
+ uncertainty ููŠ ุงู„ู‚ุฑุงุกุงุช ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ูŠุนู†ูŠ ุงุนุชู…ุงุฏ
1628
+
1629
+ 408
1630
+ 00:39:31,770 --> 00:39:33,910
1631
+ ุนู„ู‰ ุงู„ุฎุจุฑุฉ .. ุนู„ู‰ ุงู„ุฎุจุฑุฉ ุงุนุชู…ุงุฏ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุงู„
1632
+
1633
+ 409
1634
+ 00:39:33,910 --> 00:39:38,170
1635
+ calibration ุงุนุชู…ุงุฏ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุงู„ู…ุตู†ุน ู…ู…ูƒู† ุงู‚ุฏุฑ
1636
+
1637
+ 410
1638
+ 00:39:38,170 --> 00:39:40,490
1639
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision error ุงูˆ precision
1640
+
1641
+ 411
1642
+ 00:39:40,490 --> 00:39:41,470
1643
+ uncertainty
1644
+
1645
+ 412
1646
+ 00:39:46,390 --> 00:39:52,070
1647
+ ุจุชุจุฏุฃ ุจู€ begin by estimating sigma sigma ุงู„ู„ูŠ ู‡ูŠ
1648
+
1649
+ 413
1650
+ 00:39:52,070 --> 00:39:55,550
1651
+ ุงู„ standard deviation ู„ู„ population by estimating
1652
+
1653
+ 414
1654
+ 00:39:55,550 --> 00:39:58,850
1655
+ sigma as a value that is based on our knowledge of
1656
+
1657
+ 415
1658
+ 00:39:58,850 --> 00:40:02,310
1659
+ the experimental system ุงู„ standard deviation ุฃู†ุง
1660
+
1661
+ 416
1662
+ 00:40:02,310 --> 00:40:05,850
1663
+ ุจู‚ุฏุฑู‡ุง ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชูŠ ููŠ ุงู„ system ู‡ุฐุง ูˆุงู„ู„ู‡ ุงู„
1664
+
1665
+ 417
1666
+ 00:40:05,850 --> 00:40:08,410
1667
+ standard deviation ููŠ ุงู„ system ู‡ุฐุง ุนุงุฏุฉ ุนุงุฏุฉ
1668
+
1669
+ 418
1670
+ 00:40:08,410 --> 00:40:14,870
1671
+ ุจูŠูƒูˆู† ู…ุซู„ุง plus or minus 2% plus or minus 5% thus
1672
+
1673
+ 419
1674
+ 00:40:16,130 --> 00:40:19,070
1675
+ we are assuming that sigma of the population is
1676
+
1677
+ 420
1678
+ 00:40:19,070 --> 00:40:19,310
1679
+ known
1680
+
1681
+ 421
1682
+ 00:40:26,170 --> 00:40:30,710
1683
+ ูŠุนู†ูŠ ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ูˆุงู„ู…ู‚ู„ูˆู ุงู„ thermocouples
1684
+
1685
+ 422
1686
+ 00:40:30,710 --> 00:40:34,410
1687
+ ุงู„ู…ุณุชุฎุฏู… ููŠ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ุงู„ standard deviation
1688
+
1689
+ 423
1690
+ 00:40:34,410 --> 00:40:40,210
1691
+ ุจุชุงุนู‡ุง plus or minus 1% ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ุงูˆ ุงู„ู…ู‚ู„ูˆู
1692
+
1693
+ 424
1694
+ 00:40:40,210 --> 00:40:44,230
1695
+ ุงู† ุงู„ standard deviation ููŠ ุงู„ caliber plus or
1696
+
1697
+ 425
1698
+ 00:40:44,230 --> 00:40:49,630
1699
+ minus 0.1% ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ุงูˆ ุงู„ู…ู‚ู„ูˆู ุงู† ุงู„
1700
+
1701
+ 426
1702
+ 00:40:49,630 --> 00:40:53,250
1703
+ standard deviation ููŠ micrometer plus or minus 0
1704
+
1705
+ 427
1706
+ 00:40:53,250 --> 00:41:01,950
1707
+ .05%ูุตุงุฑ ุนู†ุฏู†ุง knowledge ูˆ ุจูŠุงู†ุงุช ูƒุงููŠุฉ ุงู†ู‡ ู†ู‚ุฏุฑ
1708
+
1709
+ 428
1710
+ 00:41:01,950 --> 00:41:07,830
1711
+ .. ู†ู‚ุฏุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard deviations ุณูˆุงุก ุจู†ุงุก
1712
+
1713
+ 429
1714
+ 00:41:07,830 --> 00:41:10,670
1715
+ ุนู„ู‰ ุฎุจุฑุชู†ุง ุงู„ุณุงุจู‚ุฉ ุงูˆ ุจู†ุงุก ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุจูŠุนุทูŠู‡ุง
1716
+
1717
+ 430
1718
+ 00:41:10,670 --> 00:41:18,850
1719
+ ุงู…ูŠู† ุงู„ู…ุตู†ุน ุงู„ุชุงุน ุงู„ุฌู‡ุงุฒ ูˆุจุงู„ุชุงู„ูŠ ุงุญู†ุง ุจู†ุจุฏุฃ ุนู„ู‰
1720
+
1721
+ 431
1722
+ 00:41:18,850 --> 00:41:21,550
1723
+ ูุฑุถ ุงู†ู‡ู… ุนุงุฑููŠู† ุงู„ standard deviation ู„ู„
1724
+
1725
+ 432
1726
+ 00:41:21,550 --> 00:41:24,650
1727
+ population ุทุจุนุง ุงุฐุง ุงู„ุดุฑูƒุฉ ุจุชุตู†ุน in micrometers
1728
+
1729
+ 433
1730
+ 00:41:26,260 --> 00:41:30,080
1731
+ ุจุชุงุฎุฏ ุนุดุฑุงุช ุฃู„ู ู…ู† ุงู„ู‚ุฑุงุกุงุช ู…ุด ู‚ุฑุงุกุฉ ูˆุงู„ุง ุชู†ุชูŠู†
1732
+
1733
+ 434
1734
+ 00:41:30,080 --> 00:41:34,620
1735
+ ูˆุจุชุงุฎุฏู‡ุง ูŠุนู†ูŠ ุชุญุช ุธุฑูˆู ู…ุฎุชู„ูุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ูˆ ุจูŠู‚ุฏุฑ
1736
+
1737
+ 435
1738
+ 00:41:34,620 --> 00:41:41,600
1739
+ ูŠุนุทูŠู„ูƒ ุงู„ sigma ุจุชุงุนุฉ ุงู„ population ุงู„
1740
+
1741
+ 436
1742
+ 00:41:41,600 --> 00:41:46,200
1743
+ precision uncertainty can be estimated ู‡ุฐุง
1744
+
1745
+ 437
1746
+ 00:41:46,200 --> 00:41:51,160
1747
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุณุงุจู‚ุฉ ุญูƒูŠู†ุงู‡ุง Px ููŠ ุงู„ุณุงูˆูŠุฉ ุชู‚ุฑูŠุจุง zc
1748
+
1749
+ 438
1750
+ 00:41:51,160 --> 00:41:55,250
1751
+ ุนู„ู‰ ุงุชู†ูŠู† ููŠ sigma ุนู„ู‰ ุฌุฒุฑ ุชุฑุจูŠุฉ ุนู„ู‰ ุงู„ NูุงูƒุฑูŠู†
1752
+
1753
+ 439
1754
+ 00:41:55,250 --> 00:41:59,250
1755
+ ุญูƒูŠ ุงู†ุง ูƒุงู† ุนู†ุฏู†ุง ุงู„ samples ุนู†ุฏู†ุง small sample
1756
+
1757
+ 440
1758
+ 00:41:59,250 --> 00:42:03,790
1759
+ size ุงุฐุง ูุงูƒุฑูŠู† ูƒุงู† ุนุฏุฏ ุงู„ N ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ูˆุนู†ุฏูŠ
1760
+
1761
+ 441
1762
+ 00:42:03,790 --> 00:42:08,790
1763
+ large sample size ุงู„ N ุฃูƒุจุฑ ูˆูŠุณุงูˆูŠ ุชู„ุงุชูŠู† ููŠ ุญุงู„ุฉ
1764
+
1765
+ 442
1766
+ 00:42:08,790 --> 00:42:16,510
1767
+ ุงู„ large sample ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ T T T Alpha ูˆH ูˆ Nu
1768
+
1769
+ 443
1770
+ 00:42:16,510 --> 00:42:23,430
1771
+ ููŠ ุญุงู„ุฉู„ู„ู€ small sum ุงู„ู„ูŠ ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ Z .. Z ..
1772
+
1773
+ 444
1774
+ 00:42:23,430 --> 00:42:25,410
1775
+ C ูŠุนู†ูŠ ุงู„ confidence ู…ุซู„ุง ุงู„ C ุฎู…ุณุฉ ูˆ ุณู†ุชูŠู† ููŠ
1776
+
1777
+ 445
1778
+ 00:42:25,410 --> 00:42:31,270
1779
+ ุงู„ู…ูŠุฉ ุงุชู†ูŠู† ุณูŠุฌู…ุง ุนุดุงู† ุงู‚ูŠุต
1780
+
1781
+ 446
1782
+ 00:42:31,270 --> 00:42:34,470
1783
+ ุงู„ precision with a single reading ุงุญู†ุง ุญุงูƒูŠู†ุง
1784
+
1785
+ 447
1786
+ 00:42:34,470 --> 00:42:38,690
1787
+ ุนู†ู‡ุง ู‡ูŠ ุงู„ PX ุงู„ precision uncertainty
1788
+
1789
+ 448
1790
+ 00:42:41,850 --> 00:42:46,550
1791
+ ุจุณุงูˆูŠ zc ุนู„ู‰ ุงุชู†ูŠู† ููŠ ุงู„ sigma ุนู„ู‰ ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡ูŠุฉ
1792
+
1793
+ 449
1794
+ 00:42:46,550 --> 00:42:52,310
1795
+ ู„ู„ N ููŠ ุญุงู„ุฉ ุงู„ N ุจุณุงูˆูŠ ูˆุงุญุฏ ุจูŠุตูŠุฑ Px ุจุณุงูˆูŠ zc ุนู„ู‰
1796
+
1797
+ 450
1798
+ 00:42:52,310 --> 00:42:56,790
1799
+ ุงุชู†ูŠู† ููŠ ุงู„ sigma ุนู„ู‰ ุฌุฒุฑ ุงู„ ูˆุงุญุฏ ู‡ูˆ ูˆุงุญุฏ ููŠ
1800
+
1801
+ 451
1802
+ 00:42:56,790 --> 00:43:03,170
1803
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ููŠ ุญุงู„ุฉ ุงู„ confidence ูƒุงู† ุนู†ุฏูŠ ุฎู…ุณุฉ
1804
+
1805
+ 452
1806
+ 00:43:03,170 --> 00:43:09,100
1807
+ ุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉุงู„ู€ C ุจุณูŠุทุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ุนู†ุงุชู‡
1808
+
1809
+ 453
1810
+ 00:43:09,100 --> 00:43:13,420
1811
+ ุงู„ู€ Z point ุชุณุนุฉ ุฎู…ุณุฉ ุนู„ู‰ ุงุชู†ูŠู† ู…ู† ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ
1812
+
1813
+ 454
1814
+ 00:43:13,420 --> 00:43:18,240
1815
+ ูƒู†ุง ู†ุทู„ุน ูƒุงู… ุจูŠุทู„ุน ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ ู…ุนู†ุงุชู‡ ุงู„
1816
+
1817
+ 455
1818
+ 00:43:18,240 --> 00:43:22,960
1819
+ precision uncertainty ุจุณุงูˆูŠุฉ ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ
1820
+
1821
+ 456
1822
+ 00:43:22,960 --> 00:43:32,100
1823
+ sigma ุทูŠุจ
1824
+
1825
+ 457
1826
+ 00:43:37,650 --> 00:43:41,990
1827
+ the potential precision error underlying a single
1828
+
1829
+ 458
1830
+ 00:43:41,990 --> 00:43:45,210
1831
+ measurement ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ ู‚ูŠุงุณ ูˆุงุญุฏ
1832
+
1833
+ 459
1834
+ 00:43:45,210 --> 00:43:49,930
1835
+ ุงู„ potential precision error ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision
1836
+
1837
+ 460
1838
+ 00:43:49,930 --> 00:43:57,030
1839
+ error ุงู„ู…ุญุชู…ู„ ู„ู‚ุฑุงุกุฉ ู…ุนูŠู†ุฉูŠู…ูƒู† ุชู‚ุฏูŠุฑู‡ ุจู†ุงุก ุนู„ู‰
1840
+
1841
+ 461
1842
+ 00:43:57,030 --> 00:44:01,750
1843
+ ู…ุนุฑูุชู†ุง .. ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง how finally the answer
1844
+
1845
+ 462
1846
+ 00:44:01,750 --> 00:44:04,130
1847
+ will resolve ูŠุนู†ูŠ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง ู„ู„ resolution
1848
+
1849
+ 463
1850
+ 00:44:04,130 --> 00:44:07,990
1851
+ ูŠุนู†ูŠ ุงู†ุง ู…ุซู„ุง ุนู†ุฏูŠ caliberุŒ ุนู†ุฏูŠ ู…ุตุฏุฑุฉุŒ ุนู†ุฏูŠ
1852
+
1853
+ 464
1854
+ 00:44:07,990 --> 00:44:10,530
1855
+ micrometerุŒ ูˆุงุถุญ resolution ู…ุฎุชู„ูุŒ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชูŠ
1856
+
1857
+ 465
1858
+ 00:44:10,530 --> 00:44:16,230
1859
+ ู„ู„ resolution ู…ู…ูƒู† ุงู†ุง ุงุณุชุทูŠุน ุงู‚ุฏุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ..
1860
+
1861
+ 466
1862
+ 00:44:16,230 --> 00:44:21,900
1863
+ ุงู„ .. ุงู„ uncertainty ุฃูˆ ..ูˆ ุจุฑุถู‡ ูŠุนู†ูŠ ูŠู…ูƒู† ุชู‚ุฏูŠุฑ
1864
+
1865
+ 467
1866
+ 00:44:21,900 --> 00:44:27,220
1867
+ ุงู„ precision uncertainty on how precisely one may
1868
+
1869
+ 468
1870
+ 00:44:27,220 --> 00:44:30,440
1871
+ repeat a reading how precisely one may repeat a
1872
+
1873
+ 469
1874
+ 00:44:30,440 --> 00:44:34,040
1875
+ reading ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุญูƒูŠ ุงู† ููŠ ุงู†ุง precise ูˆ ููŠ
1876
+
1877
+ 470
1878
+ 00:44:34,040 --> 00:44:38,720
1879
+ accurate precision how far we are from a central
1880
+
1881
+ 471
1882
+ 00:44:38,720 --> 00:44:42,340
1883
+ value ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุฌู‡ุฉ ู‡ุฐู‡ ูŠุนู†ูŠ ุจูŠู…ุซู„
1884
+
1885
+ 472
1886
+ 00:44:42,340 --> 00:44:46,540
1887
+ ุงู„ spread ุงูˆ ุงู„ุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู…ุฌู…ูˆุน
1888
+
1889
+ 473
1890
+ 00:44:46,540 --> 00:44:51,430
1891
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ ุนุงุฏุฉ ู…ู…ูƒู† ูŠุงุทูŠู†ูŠู‡ุงุงู„ู…ุตู†ุน ู„ู„ุฌู‡ุงุฒ
1892
+
1893
+ 474
1894
+ 00:44:51,430 --> 00:44:55,090
1895
+ ุงู„ุฌู‡ุงุฒ ู…ู…ูƒู† ูŠุนุทูŠู†ุง ุงู„ standard deviation ุงู„ sigma
1896
+
1897
+ 475
1898
+ 00:44:55,090 --> 00:44:59,990
1899
+ ู„ู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ูˆ ุตู†ุงุนู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ุจู†ูŠ ุนู„ู‰ population
1900
+
1901
+ 476
1902
+ 00:44:59,990 --> 00:45:05,570
1903
+ ุจุฑุถู‡ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ precision errors based on how
1904
+
1905
+ 477
1906
+ 00:45:05,570 --> 00:45:09,250
1907
+ much the test conditions fluctuates ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ
1908
+
1909
+ 478
1910
+ 00:45:09,250 --> 00:45:15,370
1911
+ ุฌู‡ุงุฒูƒุฑุงุกุฉ ุชุชุฃุซุฑ ุจุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ู‡ุตูŠุฑ ููŠ ุนู†ุฏูŠ
1912
+
1913
+ 479
1914
+ 00:45:15,370 --> 00:45:19,490
1915
+ fluctuation ุงุฐุง ุงู†ุง ุจูƒูˆู† ุนุงุฑู ูƒูŠู ุงู„ fluctuation
1916
+
1917
+ 480
1918
+ 00:45:19,490 --> 00:45:23,970
1919
+ ุชุชุฐุจุฐุจ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุญุฑุงุฑุฉ ุงูˆ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุงุฑุทูˆุจุฉ
1920
+
1921
+ 481
1922
+ 00:45:23,970 --> 00:45:27,670
1923
+ ุงุฐุง ุจูƒูˆู† ุนุงุฑู ูู…ู…ูƒู† ุงู‚ุฏุฑ ู‚ูŠู…ุฉ ุงู„ precision error
1924
+
1925
+ 482
1926
+ 00:45:30,220 --> 00:45:33,520
1927
+ often these estimates can be made in advance of
1928
+
1929
+ 483
1930
+ 00:45:33,520 --> 00:45:37,220
1931
+ performing the experiment ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ุชู‚ุฏูŠุฑุงุช ูŠุชู…
1932
+
1933
+ 484
1934
+ 00:45:37,220 --> 00:45:44,540
1935
+ ุนู…ู„ู‡ุง ุงูˆ ุญุณุงุจู‡ุง ุงูˆ ุชู‚ุฏูŠุฑู‡ุง ุจุดูƒู„ ู…ู‚ุฏุฉ ุงูˆ ุจุดูƒู„ ู…ุณุจู‚
1936
+
1937
+ 485
1938
+ 00:45:44,540 --> 00:45:49,080
1939
+ ู‚ุจู„ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉ in order to gauge the expected
1940
+
1941
+ 486
1942
+ 00:45:49,080 --> 00:45:52,500
1943
+ answer to the interview ู‡ุฐุง ุทุจุนุง ุจู‚ุฏุฑู‡ุง ุจุดูƒู„ ู…ุณุจู‚
1944
+
1945
+ 487
1946
+ 00:45:52,500 --> 00:45:59,950
1947
+ ุนุดุงู† ุงูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ุชู‚ุฏูŠุฑุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุงุช ู„ู„ุฌู‡ุงุฒ
1948
+
1949
+ 488
1950
+ 00:45:59,950 --> 00:46:09,150
1951
+ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุฃูˆ ุงู„ู‚ูŠุงุณ ู…ูˆุถูˆุน
1952
+
1953
+ 489
1954
+ 00:46:09,150 --> 00:46:15,810
1955
+ ุชุงู†ูŠ ุงู„ propagation of uncertainty ุนุงุฏุฉ ู…ุซู„ุง ุนุดุงู†
1956
+
1957
+ 490
1958
+ 00:46:15,810 --> 00:46:21,910
1959
+ ุงุญุณุจ ุงู„
1960
+
1961
+ 491
1962
+ 00:46:21,910 --> 00:46:29,590
1963
+ density ุฑูˆุญู‡ ุงุดูˆ ูŠุณุชูˆูŠmass ุนู„ู‰ volume ุนุดุงู† ุงู„
1964
+
1965
+ 492
1966
+ 00:46:29,590 --> 00:46:35,890
1967
+ density ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ ุงุฎุฏ ู‚ูŠุงุณูŠู† ู‚ุฑุงุกุฉ ู„ู„ mass
1968
+
1969
+ 493
1970
+ 00:46:35,890 --> 00:46:44,830
1971
+ ู‚ุฑุงุกุฉ ู„ู„ volume ู„ูƒู† ุงู†ุง ุงุณุชุฎุฏู… ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ mass
1972
+
1973
+ 494
1974
+ 00:46:44,830 --> 00:46:49,790
1975
+ ูˆ ุงุณุชุฎุฏู… ุฌู‡ุงุฒ ุชุงู†ูŠ ู„ู‚ูŠุงุณ ุงู„ volume ููŠ uncertainty
1976
+
1977
+ 495
1978
+ 00:46:49,790 --> 00:46:55,790
1979
+ ููŠ ุงู„ mass ูˆููŠ uncertaintyููŠ ุงู„ volume ุงู„
1980
+
1981
+ 496
1982
+ 00:46:55,790 --> 00:47:00,150
1983
+ uncertainty ููŠ ุงู„ mass ูˆ ุงู„ volume ุงู„ู…ูุฑูˆุถ ุชุนุทูŠู†ูŠ
1984
+
1985
+ 497
1986
+ 00:47:00,150 --> 00:47:05,090
1987
+ uncertainty ููŠ ุงู„ density ู„ุงู† ุงู†ุง ุงู„ density
1988
+
1989
+ 498
1990
+ 00:47:05,090 --> 00:47:11,270
1991
+ ุจุญุณุจู‡ุง ุญุณุงุจ ุงู„ mass ูŠุชู… ู‚ูŠุงุณู‡ ู‚ูŠุงุณู‡ ูˆ ุงู„ volume
1992
+
1993
+ 499
1994
+ 00:47:11,270 --> 00:47:14,950
1995
+ ูŠุชู… ู‚ูŠุงุณู‡ ูˆุจุงู„ุชุงู„ูŠ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ ุทุฑูŠู‚ุฉ ุงู†ู‡ ุงุญุณุจ
1996
+
1997
+ 500
1998
+ 00:47:15,860 --> 00:47:19,180
1999
+ ุงู„ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ density which is calculated
2000
+
2001
+ 501
2002
+ 00:47:19,180 --> 00:47:23,780
2003
+ based on the knowledge or estimation of ุงู„ู„ูŠ ู‡ูˆ ุงู„
2004
+
2005
+ 502
2006
+ 00:47:23,780 --> 00:47:33,500
2007
+ uncertainity ููŠ ุงู„ mass ูˆ ุงู„ volume ุนู„ู‰
2008
+
2009
+ 503
2010
+ 00:47:33,500 --> 00:47:37,340
2011
+ ูุฑุถ ุฃู† ุงู„ uncertainity ููŠ ุงู„ mass ุงู„ุฎุทุฃ ููŠ ุงู„ูƒุชู„ุฉ
2012
+
2013
+ 504
2014
+ 00:47:37,340 --> 00:47:42,000
2015
+ ูˆ ุงู„ุฎุทุฃ ููŠ ุงู„ volume independent ูŠุนู†ูŠ ุจูŠุดุชุบู„ูˆุง
2016
+
2017
+ 505
2018
+ 00:47:42,000 --> 00:47:49,010
2019
+ ุจุดูƒู„ ู…ุณุชู‚ู„ุงู„ู€ Standard Deviation ููŠ ุงู„ู€ Density ุฏูŠ
2020
+
2021
+ 506
2022
+ 00:47:49,010 --> 00:47:54,310
2023
+ Y ุจุงู„ุณุงูˆูŠุฉ
2024
+
2025
+ 507
2026
+ 00:47:54,310 --> 00:48:00,350
2027
+ ู…ุซู„ุง X1 ุนู„ู‰ X2 ุงู„ู€
2028
+
2029
+ 508
2030
+ 00:48:00,350 --> 00:48:03,730
2031
+ Standard Deviation ููŠ ุงู„ู€ Y ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑุงุฏ ุญุณุงุจู‡ุง
2032
+
2033
+ 509
2034
+ 00:48:04,450 --> 00:48:08,230
2035
+ ุจุณุชูˆู‰ ุฌุฏุฑ ุชุฑุจูŠุฉ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ูˆุงุญุฏ ุณูŠุฌู…ุง ูˆุงุญุฏ
2036
+
2037
+ 510
2038
+ 00:48:08,230 --> 00:48:11,150
2039
+ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงุชู†ูŠู† ุณูŠุฌู…ุง ุงุชู†ูŠู†
2040
+
2041
+ 511
2042
+ 00:48:11,150 --> 00:48:15,530
2043
+ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงู† ุณูŠุฌู…ุง ุงู† ู„ูƒู„
2044
+
2045
+ 512
2046
+ 00:48:15,530 --> 00:48:20,610
2047
+ ุชุฑุจูŠุฉ ุงุญู†ุง
2048
+
2049
+ 513
2050
+ 00:48:20,610 --> 00:48:22,750
2051
+ ุญุงูƒูŠ ุงู†ุง ุง calculate ุงู„ result ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ ุงู„
2052
+
2053
+ 514
2054
+ 00:48:22,750 --> 00:48:26,680
2055
+ density yis a function of several independent
2056
+
2057
+ 515
2058
+ 00:48:26,680 --> 00:48:32,440
2059
+ measured variables x1, x2, x3 ู„ุญุฏ xn ูŠุนู†ูŠ ุงู„ุญุงู„ุฉ
2060
+
2061
+ 516
2062
+ 00:48:32,440 --> 00:48:36,820
2063
+ ุฏูŠ ุงู„ density is a function of mass and volume ููŠ
2064
+
2065
+ 517
2066
+ 00:48:36,820 --> 00:48:39,600
2067
+ ุญุงู„ุงุช ุชุงู†ูŠุฉ some other variable ู‡ูŠูƒูˆู† function of
2068
+
2069
+ 518
2070
+ 00:48:39,600 --> 00:48:43,660
2071
+ more than two variablesEach measured value has
2072
+
2073
+ 519
2074
+ 00:48:43,660 --> 00:48:48,760
2075
+ some uncertainty ูŠุนู†ูŠ X1 ูˆ X2 ูˆ X3 ูˆ X4 ูˆ ู„ุญุฏ XN
2076
+
2077
+ 520
2078
+ 00:48:48,760 --> 00:48:55,440
2079
+ ููŠู‡ุง ู†ุณุจุฉ ุฎุทุฃ U1 U2 UN ุฅุฐุง ุจุนู…ู„ Taylor expansion
2080
+
2081
+ 521
2082
+ 00:48:55,440 --> 00:49:01,920
2083
+ ุทุจุนุง ุฅุฐุง ูƒุงู†ุช ุงู„ uncertainty ุตุบูŠุฑุฉ ูƒุชูŠุฑ ู„ู…ุง ุฃุฑุจุนู‡ุง
2084
+
2085
+ 522
2086
+ 00:49:01,920 --> 00:49:06,840
2087
+ ุฃูˆ ุฃูƒุนุจู‡ุง ู…ุซู„ุง ุงู„ point O1 ู„ู…ุง ุฃุฑุจุนู‡ุง ุจูŠุตูŠุฑ ูˆุงุญุฏ
2088
+
2089
+ 523
2090
+ 00:49:06,840 --> 00:49:12,930
2091
+ ู…ู† ุนุดุฑ ุชู„ุงูู„ุฃู†ูŠ ูƒุนูŠุจุฉ ุจุตูŠุฑ ูˆุงุญุฏ ู…ู† ู…ู„ูŠูˆู† ูˆุงุญุฏ ู…ู†
2092
+
2093
+ 524
2094
+ 00:49:12,930 --> 00:49:17,270
2095
+ ู…ู„ูŠูˆู† ูุงู†ุง I could expand ุงู„ function y ุจ x ูˆุงุญุฏ
2096
+
2097
+ 525
2098
+ 00:49:17,270 --> 00:49:20,830
2099
+ ุฒูŠ d ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู† ุฒูŠ d ุงุชู†ูŠู† ูˆ xn ุฒูŠ yn using
2100
+
2101
+ 526
2102
+ 00:49:20,830 --> 00:49:25,150
2103
+ taylor expansion ุจูŠุนุทูŠู†ูŠ y is a function of x ูˆุงุญุฏ
2104
+
2105
+ 527
2106
+ 00:49:25,150 --> 00:49:28,950
2107
+ ูˆ x ุงุชู†ูŠู† ูˆ xn ุฒูŠ dy by dx ูˆุงุญุฏ u ูˆุงุญุฏ ุฒูŠ dy by dx
2108
+
2109
+ 528
2110
+ 00:49:28,950 --> 00:49:34,110
2111
+ ุงุชู†ูŠู† u ุงุชู†ูŠู† ุฒูŠ dy by dxn un ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ูŠ first
2112
+
2113
+ 529
2114
+ 00:49:34,110 --> 00:49:39,390
2115
+ order ููˆู‚ ุงู„ termsููŠ second orderุŒ third orderุŒ
2116
+
2117
+ 530
2118
+ 00:49:39,390 --> 00:49:43,750
2119
+ fourth order ูŠุนู†ูŠ ู‡ุฐู‡ ุจุฏู„ู‡ุง expansion to infinite
2120
+
2121
+ 531
2122
+ 00:49:43,750 --> 00:49:48,110
2123
+ number of tiers ุงู„ุชูŠุฑุฒ ุงู„ุฃูƒ .. ุฃูƒ .. ุงู„ุฏุฑุฌุงุช ุฃุนู„ู‰
2124
+
2125
+ 532
2126
+ 00:49:48,110 --> 00:49:56,100
2127
+ ู…ู† ูˆุงุญุฏ ู„ู…ุง ุชุชุฑุจุนุฃูˆ ุชุชูƒุนุจ ุฃูˆ ุชุตุจุญ ุฃุฑุจุน ุฃูˆ ุฎู…ุณ
2128
+
2129
+ 533
2130
+ 00:49:56,100 --> 00:49:59,440
2131
+ ุจูŠุตุจุญ very very small ูุจุชู‚ุฑูŠุจ ุจุญูƒูŠ ุงู† ุงู„ function
2132
+
2133
+ 534
2134
+ 00:49:59,440 --> 00:50:03,580
2135
+ is given by this equation in this case ุจูŠูƒูˆู† ุงู„
2136
+
2137
+ 535
2138
+ 00:50:03,580 --> 00:50:07,720
2139
+ total uncertainty ููŠ ุงู„ y which is a function of
2140
+
2141
+ 536
2142
+ 00:50:07,720 --> 00:50:12,400
2143
+ x1, x2 ูˆ xn ุจูŠุณุชุบู„ ู…ูˆุงุทุฑ ุงู„ู„ูŠ ู„ูƒู‡ุง D y ุจุฏูŠ x1, D y
2144
+
2145
+ 537
2146
+ 00:50:12,400 --> 00:50:13,980
2147
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y
2148
+
2149
+ 538
2150
+ 00:50:13,980 --> 00:50:15,180
2151
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y
2152
+
2153
+ 539
2154
+ 00:50:15,180 --> 00:50:21,450
2155
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2ุงู†ุชูˆุง
2156
+
2157
+ 540
2158
+ 00:50:21,450 --> 00:50:25,690
2159
+ ุฎุฏุชูˆุง .. ุฏุฑุณุชูˆุง calculus ุชู„ุงุชุฉุŸ ุงุฎุฏุชูˆุง ุงู„ tailor
2160
+
2161
+ 541
2162
+ 00:50:25,690 --> 00:50:30,310
2163
+ expansionุŸ ููŠ calculus D ุงุฎุฏุชูˆุง ุงู„ .. ุงุฎุฏุชูˆุง ุงู„
2164
+
2165
+ 542
2166
+ 00:50:30,310 --> 00:50:34,590
2167
+ expansions ุงู† ุงูŠ function ู…ู…ูƒู† ุชุนุชุจุฑ ุนุจุงุฑุฉ ุนู†
2168
+
2169
+ 543
2170
+ 00:50:34,590 --> 00:50:38,470
2171
+ summation of .. ุงูˆ some summation of some
2172
+
2173
+ 544
2174
+ 00:50:38,470 --> 00:50:40,630
2175
+ functions ุงู„ู„ูŠ ู‡ูŠ tailor expansion
2176
+
2177
+ 545
2178
+ 00:50:51,480 --> 00:50:56,860
2179
+ ุฎู†ุดูˆู ู…ุซุงู„ suppose that y has the 4 ุนู†ุฏูŠ some
2180
+
2181
+ 546
2182
+ 00:50:56,860 --> 00:51:03,300
2183
+ variable y ุจูŠุณุชูˆู‰
2184
+
2185
+ 547
2186
+ 00:51:03,300 --> 00:51:10,660
2187
+ a x ูˆุงุญุฏ ุฒุงุฆุฏ b x ุงุชู†ูŠู† and that the answer ุชู†ุชุธุฑ
2188
+
2189
+ 548
2190
+ 00:51:10,660 --> 00:51:16,010
2191
+ ุงู„ุงู† y is a function of x ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู†ูˆ ุงู„
2192
+
2193
+ 549
2194
+ 00:51:16,010 --> 00:51:22,230
2195
+ answer ุชู†ุช ููŠ x1 ูˆ x2 ู…ุนุฑูˆูุฉ ุงู†ุง ุงู„ุญู‚ูŠู‚ุณ ู‡ูˆ ุงูŠุดุŸ
2196
+
2197
+ 550
2198
+ 00:51:22,230 --> 00:51:29,330
2199
+ x1 ูˆ x2 ูˆ ู…ู†ู‡ ุงุญุณุจ ุงูŠุดุŸ y ูˆ ุงู„ answer ุชู†ุช ููŠ x1 ูˆ
2200
+
2201
+ 551
2202
+ 00:51:29,330 --> 00:51:33,770
2203
+ x2 ู…ุนุฑูˆูุฉ ุงูŠุด ุงู„ answer ุชู†ุช ููŠ ุงู„ yุŸ ุงู„ answer ุชู†ุช
2204
+
2205
+ 552
2206
+ 00:51:33,770 --> 00:51:40,450
2207
+ ููŠ ุงู„ y ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู‡ุชูƒูˆู† uy ุณูˆุงุก ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡
2208
+
2209
+ 553
2210
+ 00:51:40,450 --> 00:51:55,560
2211
+ ู„ dyby dx1 u1 ุงู„ูƒู„ ุชุฑุจูŠุน z dy by dx2 u2 ุงู„ูƒู„ ุชุฑุจูŠุน
2212
+
2213
+ 554
2214
+ 00:51:56,220 --> 00:52:04,100
2215
+ ู…ุนู†ุงุชู‡ ู„ุงุฒู… ุงุญุณุจ dy by dx ูˆุงุญุฏ ุดูˆ ูŠุณุงูˆูŠ a ูˆ dy by
2216
+
2217
+ 555
2218
+ 00:52:04,100 --> 00:52:09,500
2219
+ dx ุงุชู†ูŠู† ุจูŠุณุงูˆูŠ b ู…ุนู†ุงุชู‡ ุงู„ answer ุชู†ุชู‡ูŠ ููŠ ุงู„ y
2220
+
2221
+ 556
2222
+ 00:52:09,500 --> 00:52:17,580
2223
+ ู‡ุชูƒูˆู† ุฌุฒูŠุฑ ุชุฑุจูŠุนูŠ ู„ a u ูˆุงุญุฏ ุชุฑุจูŠุน ุฒูŠ b u ุงุชู†ูŠู†
2224
+
2225
+ 557
2226
+ 00:52:17,580 --> 00:52:21,720
2227
+ ุชุฑุจูŠุน ุนู† ุงู„ a ูˆ ุงู„ b constants ู…ุนุฑูˆููŠู†ูˆ ุงู„
2228
+
2229
+ 558
2230
+ 00:52:21,720 --> 00:52:25,020
2231
+ uncertainity ููŠ X1 ู…ุนุฑูˆูุฉ ูˆ ุงู„ uncertainity ููŠ X2
2232
+
2233
+ 559
2234
+ 00:52:25,020 --> 00:52:31,860
2235
+ ู…ุนุฑูˆูุฉ ู…ู‚ุฏุฑ ุงุญุตู„ uncertainity ููŠ ุงู„ Y ู…ุซุงู„
2236
+
2237
+ 560
2238
+ 00:52:31,860 --> 00:52:36,040
2239
+ ุชุงู†ูŠ suppose
2240
+
2241
+ 561
2242
+ 00:52:36,040 --> 00:52:41,700
2243
+ that Y has the form Y ู…ูˆุทุน ุจุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ A X1 ุฃุณ M
2244
+
2245
+ 562
2246
+ 00:52:41,700 --> 00:52:48,540
2247
+ X2 ุฃุณ N ุนู„ู‰ X3 ุฃุณ K ูˆ ุงู„ uncertainity ููŠ X1 ูˆ X2 ูˆ
2248
+
2249
+ 563
2250
+ 00:52:48,540 --> 00:52:55,390
2251
+ X3ู…ุนุฑูˆูุฉ ูˆ ุงู„ a ูˆ ุงู„ m ูˆ ุงู„ n ูˆ ุงู„ k constants ุจุฏูŠ
2252
+
2253
+ 564
2254
+ 00:52:55,390 --> 00:53:01,510
2255
+ ุฃุญุณุจ ุงู„ uncertainty ููŠ ุงู„ y ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ุฏูŠ ู‡ูŠ ู‡ุฐู‡
2256
+
2257
+ 565
2258
+ 00:53:01,510 --> 00:53:05,790
2259
+ ุงู„ู…ุนุงุฏู„ุฉ and ุงู„ uncertainty ุฃู†ุฏูŠ ู‡ู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ x
2260
+
2261
+ 566
2262
+ 00:53:05,790 --> 00:53:07,610
2263
+ ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู† ูˆ x ุชู„ุงุชู‡ ูŠุนู†ูŠ ุฃู†ุชูŠ ุนู†ุฏูŠ ุชู„ุงุชุฉ
2264
+
2265
+ 567
2266
+ 00:53:07,610 --> 00:53:19,680
2267
+ terms ู‡ุญุณุจ dy ู‡ุญุณุจ dy by dx ูˆุงุญุฏ ูˆ dy by dx ุงุชู†ูŠู†ูˆ
2268
+
2269
+ 568
2270
+ 00:53:19,680 --> 00:53:24,100
2271
+ dy ุจู‚ู‰ dx ุชู„ุงุชุฉ ูˆ ุงู„ uncertain ููŠ x ูˆุงุญุฏ ู…ุนุฑูˆูุฉ ูˆ
2272
+
2273
+ 569
2274
+ 00:53:24,100 --> 00:53:26,540
2275
+ ุงู„ uncertain ููŠ x ุงุชู†ูŠู† ู…ุนุฑูˆูุฉ ูˆ ุงู„ uncertain ููŠ x
2276
+
2277
+ 570
2278
+ 00:53:26,540 --> 00:53:31,360
2279
+ ุชู„ุงุชุฉ ู…ุนุฑูˆูุฉ ูˆ ุจู‚ุนุฏ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ
2280
+
2281
+ 571
2282
+ 00:53:31,360 --> 00:53:39,120
2283
+ ู‡ูŠ ุจุญุซ ู…ู†ู‡ุง ุฅูŠุด ุงู„ ui ุทุจุนุง ุงู„ู…ูุชุฑุถ ุงู„ m ูˆ ุงู„ n ูˆ
2284
+
2285
+ 572
2286
+ 00:53:39,120 --> 00:53:44,760
2287
+ ุงู„ k ุชูƒูˆู† ู…ุนุฑูˆูุฉ ูˆ ุงู„ u ูˆุงุญุฏ ู…ุนุฑูˆูุฉ ู…ู†ู‡ุง for some
2288
+
2289
+ 573
2290
+ 00:53:44,760 --> 00:53:49,900
2291
+ value x ูˆุงุญุฏ x ุงุชู†ูŠู† ูˆ x ุชู„ุงุชุฉI calculate ูŠุนู†ูŠ
2292
+
2293
+ 574
2294
+ 00:53:49,900 --> 00:53:52,820
2295
+ ุงู„ู„ูŠ ุจุตูŠุฑ ุงู†ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฌุฏูˆู„ ุฒูŠ ู‡ูŠูƒ ุนู†ุฏูŠ ุฌุฏูˆู„ X
2296
+
2297
+ 575
2298
+ 00:53:52,820 --> 00:54:00,580
2299
+ ูˆุงุญุฏ ูˆ X ุงุชู†ูŠู† ูˆ X ุชู„ุงุชุฉ ูˆู…ุนุทู‰
2300
+
2301
+ 576
2302
+ 00:54:00,580 --> 00:54:09,840
2303
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ U ูˆุงุญุฏ ูˆ U ุงุชู†ูŠู† ูˆ U ุชู„ุงุชุฉ ูˆ given
2304
+
2305
+ 577
2306
+ 00:54:12,580 --> 00:54:23,560
2307
+ A ูˆ M ูˆ N ู…ู…ูƒู† ุงุญุณุจ H ุงู„ U ูˆ Y ู„ูƒู„ ู‚ุฑุงุกุฉ ุงูˆ ูˆุถุน
2308
+
2309
+ 578
2310
+ 00:54:23,560 --> 00:54:28,100
2311
+ ู…ู‚ูŠู… X ูˆุงุญุฏ X ุงุชู†ูŠู† X ุชู„ุงุชุฉ U ูˆุงุญุฏ U ุงุชู†ูŠู† U ุชู„ุงุชุฉ
2312
+
2313
+ 579
2314
+ 00:54:29,770 --> 00:54:35,850
2315
+ ู„ูƒู† ูƒู…ุงู† ุฎู„ุตู†ุง ุงู„ู…ุญุงุถุฑุฉุŒ ุงู„ .. ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠ ุงู‚ุฑุฃูˆุง
2316
+
2317
+ 580
2318
+ 00:54:35,850 --> 00:54:41,650
2319
+ ุงู„ exam ุงู„ุฎู…ุณุชุงุด ููŠ ุงู„ูƒุชุงุจ ูˆ .. ูˆ two sections
2320
+
2321
+ 581
2322
+ 00:54:41,650 --> 00:54:47,090
2323
+ ูˆุฑุงู‡ exam ุงู„ุฎู…ุณุชุงุด ูˆ two sections ูˆุฑุงู‡ ุงุนุทูŠูƒ
2324
+
2325
+ 582
2326
+ 00:54:47,090 --> 00:54:47,310
2327
+ ุงู„ุนุงููŠุฉ
2328
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/8iEFJATsb40_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/8iEFJATsb40_raw.srt ADDED
@@ -0,0 +1,2340 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:08,330
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,330 --> 00:00:14,150
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ู…ุญุงุถุฑุงุช chapter ุชู„ุงุชุฉ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:14,150 --> 00:00:19,810
11
+ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑุจูŠุฉ assessing and
12
+
13
+ 4
14
+ 00:00:19,810 --> 00:00:25,230
15
+ presenting experimental data ู‡ู†ูƒู…ู„
16
+
17
+ 5
18
+ 00:00:25,230 --> 00:00:29,450
19
+ ู‡ู†ุฑุฌุน ู†ุญูƒูŠ ุนู† ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ bias and single
20
+
21
+ 6
22
+ 00:00:29,450 --> 00:00:31,330
23
+ sample uncertainty
24
+
25
+ 7
26
+ 00:00:33,530 --> 00:00:37,710
27
+ single sample ุจุนุถ ุฃุญูŠุงู† ุจุงุฎุฏ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ
28
+
29
+ 8
30
+ 00:00:37,710 --> 00:00:40,790
31
+ ู‚ุฑุงุกุชูŠู† ุฃูˆ ุชู„ุช ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุจูŠูƒูˆู† ุตุบูŠุฑ
32
+
33
+ 9
34
+ 00:00:40,790 --> 00:00:47,530
35
+ ุฌุฏุง ูุจุณู…ูŠู‡ุง ูƒุฃู†ู‡ุง single sample ุงู„ู„ูŠ
36
+
37
+ 10
38
+ 00:00:47,530 --> 00:00:51,390
39
+ ุฃู†ุง ุนู†ุฏูŠ ุงู„ .. ุงู„ .. ุงู„ errors ุณุงุจู‚ุง ุญูƒูŠู†ุง ุจูŠุฌูŠ ุนู†
40
+
41
+ 11
42
+ 00:00:51,390 --> 00:00:54,890
43
+ ู†ูˆุนูŠู† ุงู„ู„ูŠ ู‡ูˆ precision errors ูˆ systematic ุฃูˆ
44
+
45
+ 12
46
+ 00:00:54,890 --> 00:01:03,760
47
+ bias errors ุงู„ bias errorsุงู„ุทุฑูŠู‚ุฉ ุงู„ูˆุญูŠุฏุฉ ุงู„ู…ุจุงุดุฑุฉ
48
+
49
+ 13
50
+ 00:01:03,760 --> 00:01:09,920
51
+ ู„ู„ูƒุดู ุงูˆ ุญุณุงุจ ุงู„ bias error ู‡ูŠ ู…ู† ุฎู„ุงู„ ุงู†ู‡ ุงุนู…ู„
52
+
53
+ 14
54
+ 00:01:09,920 --> 00:01:18,980
55
+ ุงู„ู‚ูŠุงุณ ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุฌู‡ุงุฒ ุงูƒุซุฑ ุฏู‚ุฉ ูŠุนู†ูŠ ู…ุซู„ุง ุฌู‡ุงุฒ
56
+
57
+ 15
58
+ 00:01:18,980 --> 00:01:22,620
59
+ ุนู†ุฏู†ุง ู‚ูŠุงุณ ุงู„ูˆุฒู† ุฏู‚ุชู‡ ู…ุซู„ุง plus or minus ูˆุงุญุฏ gram
60
+
61
+ 16
62
+ 00:01:24,710 --> 00:01:28,410
63
+ ุนุดุงู† ุงุนุฑู ุงู„ bias ุงูˆ ุงู„ systematic error ู…ู…ูƒู†
64
+
65
+ 17
66
+ 00:01:28,410 --> 00:01:33,850
67
+ ุงุณุชุฎุฏู… ุงุฎุฏ ุงู„ู‚ุฑุงุกุฉ ุจุงู„ุฌู‡ุงุฒ ุงู„ุฃุตู„ ุชุงุนู‡ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ
68
+
69
+ 18
70
+ 00:01:33,850 --> 00:01:37,210
71
+ ุงู„ุฎุทุฃ ููŠู‡ plus or minus ูˆุงุญุฏ ุงุฌุฑุงู… ูˆ ุจุงู„ุฌู‡ุงุฒ
72
+
73
+ 19
74
+ 00:01:37,210 --> 00:01:40,850
75
+ ุงู„ุฃูƒุซุฑ ุฏู‚ุฉ ุงู„ู„ูŠ ู‡ูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠู‡ plus or minus
76
+
77
+ 20
78
+ 00:01:40,850 --> 00:01:47,050
79
+ point one ุงุฌุฑุงู… ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ู…ู† ุฎู„ุงู„ ู…ู‚ุงุฑู†ุฉ ู…ุน
80
+
81
+ 21
82
+ 00:01:47,050 --> 00:01:54,400
83
+ more accuratestandard ุงูˆ more accurate device ู…ู…ูƒู†
84
+
85
+ 22
86
+ 00:01:54,400 --> 00:02:00,280
87
+ ุงุนุฑู ุงู„ bias error ู„ูƒู† ู‡ุฐู‡ ุงู„ุทุฑูŠู‚ุฉ ู…ุด ุฏุงูŠู…ุง ุจุชูƒูˆู†
88
+
89
+ 23
90
+ 00:02:00,280 --> 00:02:07,160
91
+ ู…ุชุงุญุฉ ุงูˆ ุจุชุงู„ูŠ ู…ุด ุฏุงูŠู…ุง ุจุชูƒูˆู† ู…ุชุงุญุฉ ุนู†ุฏ ุฌู‡ุงุฒ ุงูƒุซุฑ
92
+
93
+ 24
94
+ 00:02:07,160 --> 00:02:14,420
95
+ ุฏู‚ุฉ ู‡ุฐุง ุณุจุจ ูˆ ุจุนุถ ุงู„ุงุญูŠุงู† ู…ู…ูƒู† ุชูƒูˆู† ู…ูƒู„ูุฉ ูˆ ุชุณุชุบุฑู‚
96
+
97
+ 25
98
+ 00:02:14,420 --> 00:02:21,440
99
+ ูˆู‚ุชูุจุฏุฃ ุฃููƒุฑ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ู„ุชูˆู‚ุน ุฃูˆ ุญุณุงุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„
100
+
101
+ 26
102
+ 00:02:21,440 --> 00:02:26,300
103
+ bias error ุนุดุงู†
104
+
105
+ 27
106
+ 00:02:26,300 --> 00:02:33,920
107
+ ู†ุชูˆู‚ุน ู‚ูŠู…ุฉ ุงู„ bias error ุจู†ุนุชู…ุฏ ุนู„ู‰ ู…ุนุฑูุชู†ุง
108
+
109
+ 28
110
+ 00:02:33,920 --> 00:02:37,980
111
+ ู„ู„ุฃุฌู‡ุฒุฉ ุงู„ู„ูŠ ุงุญู†ุง ุจุชุชุนุงู…ู„ ู…ุนุงู‡ุง ุงู†ุง ุจุชุชุนุงู…ู„ ู…ุนุงู‡ุง
112
+
113
+ 29
114
+ 00:02:38,670 --> 00:02:43,990
115
+ ู…ูŠุฒุงู† ุงู„ู„ู‰ ุณู†ุฉ ุณู†ุชูŠู† ุจุชุนุงู…ู„ ููŠู‡ ุงูˆ ุจุชุนุงู…ู„ ู…ุน ุฌู‡ุงุฒ
116
+
117
+ 30
118
+ 00:02:43,990 --> 00:02:50,530
119
+ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงูˆ ุฌู‡ุงุฒ ู„ุญุณุงุจ ุงู„ flow ุงูˆ ุฌู‡ุงุฒ
120
+
121
+ 31
122
+ 00:02:50,530 --> 00:02:55,370
123
+ ู„ุญุณุงุจ ุงู„ viscosity ูู‰ ูƒุชูŠุฑ ุดุบู„ุงุช ูŠู…ูƒู† ู‚ูŠุงุณู‡ุง ุงู„ู„ู‰
124
+
125
+ 32
126
+ 00:02:55,370 --> 00:03:00,620
127
+ ู‡ู†ุชุนุงู…ู„ ู…ุน ุงู„ุฌู‡ุงุฒ ุจุดูƒู„ ูŠูˆู…ูŠุจุตูŠุฑ ุงุนุฑู ุฎุตุงุฆุตู‡ ุงูƒุชุฑ
128
+
129
+ 33
130
+ 00:03:00,620 --> 00:03:03,100
131
+ ุจุตูŠุฑ ู…ุนุงูŠุง ุฎุจุฑุฉ ููŠ ุงู„ุชุนุงู…ู„ ููŠ ุงู„ุฌู‡ุงุฒ ูุจุนุฑู ูˆุงู„ู„ู‡
132
+
133
+ 34
134
+ 00:03:03,100 --> 00:03:06,720
135
+ ุงู†ู‡ ุฌู‡ุงุฒ ุงุฒุงุฏุฉ ุจูŠุนุทูŠู†ุง ุงู†ุญุฑุงู ุฏุงูŠู…ุง ุงู†ุญุฑุงู ุซุงุจุช
136
+
137
+ 35
138
+ 00:03:06,720 --> 00:03:13,360
139
+ ู…ุซู„ุง point ูˆุงุญุฏ gram ููŠ ุงู„ูˆุฒู† ุงูˆ ู…ุซู„ุง ูˆ .. ุงุฐุง ูƒุงู†
140
+
141
+ 36
142
+ 00:03:13,360 --> 00:03:19,780
143
+ ุฌู‡ุงุฒ ู‚ุฑุงุฑ .. ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ูˆุงู„ู„ู‡ ุงู„ุฌู‡ุงุฒ ุฏู‡ู…ุง
144
+
145
+ 37
146
+ 00:03:19,780 --> 00:03:26,390
147
+ ู…ู† ุฎุจุฑุฉ ุจูŠุนุทูŠู†ุง ูˆุงู„ู„ู‡ ุจุฒูˆุฏ ู…ุซู„ุง one degreeูู…ู†
148
+
149
+ 38
150
+ 00:03:26,390 --> 00:03:34,210
151
+ ุงู„ุฎุจุฑุฉ ู…ู…ูƒู† ุงู†ุง ุงุชูˆู‚ุน ุงูˆ ุงุนู…ู„ ุชู‚ุฏูŠุฑุงุช ู„ุญุฌู… ุงู„ุฎุทุฃ
152
+
153
+ 39
154
+ 00:03:34,210 --> 00:03:39,110
155
+ ุงู„ู„ู‰ ู‡ูˆ ุงู„ bias error ุงู„
156
+
157
+ 40
158
+ 00:03:39,110 --> 00:03:42,730
159
+ estimation of bias uncertainty lies on ุงู„ู„ู‰ ู‡ูˆ
160
+
161
+ 41
162
+ 00:03:42,730 --> 00:03:49,720
163
+ ุชู‚ุฏูŠุฑ ุงู„ bias uncertainty ุจูŠุชู…ุฏ ุนู„ู‰ ุงู„ุฎุจุฑุฉway
164
+
165
+ 42
166
+ 00:03:49,720 --> 00:03:54,100
167
+ understanding of calibration accuracy ู„ู…ุง ุงู†ุง ุนู…ู„ุช
168
+
169
+ 43
170
+ 00:03:54,100 --> 00:04:00,440
171
+ ุชุนูŠูŠุฑ ู…ุนุงูŠุฑุฉ ู„ุฌู‡ุงุฒ ุนุฑูุช ู…ู† ุฎู„ุงู„ .. ู„ู…ุง ุงู†ุง ุงุนู…ู„
172
+
173
+ 44
174
+ 00:04:00,440 --> 00:04:04,760
175
+ ู…ุนุงูŠุฑุฉ ุงู†ุง ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ standard ูˆ ุนู†ุฏูŠ ุฌู‡ุงุฒ ุชุญุช
176
+
177
+ 45
178
+ 00:04:04,760 --> 00:04:09,780
179
+ ุงู„ุฏุฑุงุณุฉุงู„ standard ุชู‚ุฑูŠุจุง ุจูŠุนุทูŠู†ูŠ ู‚ูŠู…ุฉ true ู‚ุฑูŠุจุฉ
180
+
181
+ 46
182
+ 00:04:09,780 --> 00:04:13,260
183
+ ู…ู† ุงู„ true value ูˆ๏ฟฝ๏ฟฝู„ุฌู‡ุงุฒ ู‡ูˆ ุงู„ู„ูŠ ุฃู†ุง ุจู‚ูŠุณ ููŠู‡
184
+
185
+ 47
186
+ 00:04:13,260 --> 00:04:18,000
187
+ ูุจุงุฎุฏ ุนุฏุฉ ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุจู‚ุงุฑู† ุจูŠู† ุงู„ standard ูˆ
188
+
189
+ 48
190
+ 00:04:18,000 --> 00:04:21,480
191
+ ุงู„ุฌู‡ุงุฒ ุจุชุงุนูŠ ุจุนุฏ ู…ุง ูˆุฌุฏ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ู…ู† ู…ุนุฑูุชูŠ
192
+
193
+ 49
194
+ 00:04:21,480 --> 00:04:24,260
195
+ ู„ุชูุงุตูŠู„ ุงู„ calibration ุงู„ู„ูŠ ู‡ูˆ ุงู„ linearity ูˆ ุงู„
196
+
197
+ 50
198
+ 00:04:24,260 --> 00:04:29,140
199
+ hysteresis ูˆ ุงู„ offset ู‡ุฐู‡ ุจุชููŠุฏู†ูŠ ุจุชู‚ุฏูŠุฑ ุงู„ bias
200
+
201
+ 51
202
+ 00:04:29,140 --> 00:04:29,520
203
+ error
204
+
205
+ 52
206
+ 00:04:32,480 --> 00:04:37,120
207
+ ุจุงู„ุงุถุงูุฉ ู„ .. ู„ู„ dimensional tolerances ุงู„ู„ูŠ ู‡ูŠ
208
+
209
+ 53
210
+ 00:04:37,120 --> 00:04:42,640
211
+ ุงู„ูุฑูˆู‚ุงุช ุงูˆ ุงู„ .. ุงู„ุงุฎุทุงุก ุงู„ู…ุณู…ูˆุญุฉ ููŠ ุงู„ .. ุงู„ ..
212
+
213
+ 54
214
+ 00:04:42,640 --> 00:04:44,000
215
+ ุงู„ุฃุจุนุงุฏ ุงู„ุทูˆู„ูŠุฉ
216
+
217
+ 55
218
+ 00:04:46,450 --> 00:04:49,550
219
+ A diligence, persistence and careful examination
220
+
221
+ 56
222
+ 00:04:49,550 --> 00:04:53,390
223
+ of one's results are essential in identifying and
224
+
225
+ 57
226
+ 00:04:53,390 --> 00:04:58,330
227
+ estimating such errors ูŠุนู†ูŠ ุงู„ุฅุตุฑุงุฑ ูˆ ุงู„ .. ูŠุนู†ูŠ
228
+
229
+ 58
230
+ 00:04:58,330 --> 00:05:09,640
231
+ ูŠูƒูˆู† ุนู†ุฏูŠ ุชูุญุต ุฏู‚ูŠู‚ ู„ู„ู†ุชุงุฆุฌ ุถุฑูˆุฑูŠ ุฌุฏุง ุนุดุงู† ุฃุญุฏุฏูˆ
232
+
233
+ 59
234
+ 00:05:09,640 --> 00:05:14,860
235
+ ุงุชุฎู„ุต ุงูˆ ุงุฎูู ู…ู† ุงู„ุฃุฎุทุงุก ููŠ ุงู„ results ุนู†ุฏูŠ ููŠุนู†ูŠ
236
+
237
+ 60
238
+ 00:05:14,860 --> 00:05:19,860
239
+ ุงู„ุชุฌุฑุจุฉ ุงูˆ ุงูŠ ุชุฌุฑุจุฉ ุงุนู…ู„ู‡ุง ุนุงุฏุฉุจุนู…ู„ ู…ุง ูŠุณู…ู‰ ุนู…ู„ูŠุฉ
240
+
241
+ 61
242
+ 00:05:19,860 --> 00:05:23,900
243
+ ุงู„ุชุนู„ู… ููŠ ุงู„ุฃูˆู„ ุจุฌุฑูŠ ุงู„ุชุฌุงุฑุจ ู…ุซู„ุง ุจุดูƒู„ ุณุฑูŠุน ุจุฌุฑูŠู‡ุง
244
+
245
+ 62
246
+ 00:05:23,900 --> 00:05:28,480
247
+ ู…ุฑุฉ ู…ุฑุชูŠู† ุชู„ุงุชุฉ ูุจูู‡ ุดูˆูŠุฉ ุจูŠุตูŠุฑ ุงู† ุฏูŠ ู…ุนู„ูˆู…ุงุช ุงูƒุชุฑ
248
+
249
+ 63
250
+ 00:05:28,480 --> 00:05:34,440
251
+ ูƒูŠู ุงู„ุฃู…ูˆุฑ ุจุชุตูŠุฑ ูˆูŠู† ุงู„ุฃุฎุทุงุก ู…ุฑุชูุนุฉ ูˆู…ู† ุฎูุถุฉ ุงูŠุด
252
+
253
+ 64
254
+ 00:05:34,440 --> 00:05:37,880
255
+ ุงู„ุธุฑูˆู ุงู„ู„ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจ ูุงู†ุง ู…ุญุชุงุฌ to
256
+
257
+ 65
258
+ 00:05:37,880 --> 00:05:41,160
259
+ build some experience ู‡ุฐู‡ ุงู„ experience ุจุช ..
260
+
261
+ 66
262
+ 00:05:41,160 --> 00:05:44,860
263
+ ุจูŠุตูŠุฑ ู…ุน ุงู„ู…ุชุงุจุน ู…ุน ุงู„ุฅุตุฑุงุฑ ุงู†ู‡ ุงูŠุฏูŠ ุงู„ุชุฌุงุฑุจ ุงูƒุชุฑ
264
+
265
+ 67
266
+ 00:05:45,160 --> 00:05:51,500
267
+ ู…ู† ู…ุฑุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ุฐุง ุงู„ issue ุจูŠุนุทูŠู†ูŠ ุงู„ู‚ุฏุฑุฉ ุงู†
268
+
269
+ 68
270
+ 00:05:51,500 --> 00:05:59,940
271
+ ุงุญุณู† ู†ุชุงุฆุฌ ุงู„ุชุฌุงุฑุจ ุงู„ู„ูŠ ุงู†ุง ุจุงุฌุฑูŠู‡ุง instance
272
+
273
+ 69
274
+ 00:05:59,940 --> 00:06:03,680
275
+ of bias uncertainty should be accompanied by a
276
+
277
+ 70
278
+ 00:06:03,680 --> 00:06:07,540
279
+ confidence levelู„ู…ุง ุจุญุณุจ ุงู„ุฎุทุฃ ููŠ ุงู„ bias
280
+
281
+ 71
282
+ 00:06:07,540 --> 00:06:12,660
283
+ uncertain ุงู„ุฎุทุฃ ููŠ ุงู„ุงู†ุญุฑุงููŠ ุงูˆ ุงู„ุฎุทุฃ ุงู„ุงู†ุญุฑุงููŠ
284
+
285
+ 72
286
+ 00:06:12,660 --> 00:06:17,100
287
+ ุงู„ุซุงุจุช ุจุฏูŠ ุงุญุท ุฏุฑุฌุฉ ุชูŠู‚ู† ุงู†ุง ุจุนู…ู„ู‡ estimation
288
+
289
+ 73
290
+ 00:06:17,100 --> 00:06:21,580
291
+ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ุฎู…ุณ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ุณุจุนูŠู† ููŠ
292
+
293
+ 74
294
+ 00:06:21,580 --> 00:06:25,880
295
+ ุงู„ู…ูŠุฉ ุงูˆ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ู…ุซู„ุง ุชุณุน ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ูุงู„
296
+
297
+ 75
298
+ 00:06:25,880 --> 00:06:31,080
299
+ estimation ุจูƒูˆู† ู…ู‚ุฑูˆู† ุจุฏุฑุฌุฉ ุชูŠู‚ู†
300
+
301
+ 76
302
+ 00:06:33,730 --> 00:06:38,530
303
+ level of confidence assigned ู…ุณุชูˆู‰ ุฏุฑุฌุฉ ุงู„ุชุงู‚ู„
304
+
305
+ 77
306
+ 00:06:38,530 --> 00:06:43,130
307
+ ุงู„ู„ูŠ ุงุญู†ุง ุญุงุทู†ุงู‡ is a product of our knowledge of
308
+
309
+ 78
310
+ 00:06:43,130 --> 00:06:47,630
311
+ the system ู‡ูˆ ู†ุงุชุฌ ุนู† ู…ุนุฑูุชู†ุง ู„ู… ู†ุถุนู… ุชุญุช ุงู„ุฏุฑุงุณุฉ
312
+
313
+ 79
314
+ 00:06:48,860 --> 00:06:52,220
315
+ reflecting our assessment of the fraction of bias
316
+
317
+ 80
318
+ 00:06:52,220 --> 00:06:54,620
319
+ errors likely to land within the uncertain
320
+
321
+ 81
322
+ 00:06:54,620 --> 00:06:59,300
323
+ interval ูˆุจุงู„ุชุงู„ูŠ ุงู„ level of confidence ุฃูˆ ู…ุณุชูˆู‰
324
+
325
+ 82
326
+ 00:06:59,300 --> 00:07:03,700
327
+ ุงู„ุชูŠู‚ู† ุงู„ู„ูŠ ุฃู†ุง ุจุญุทู‡ ู‡ูˆ ู†ุชูŠุฌุฉ ู…ุนุฑูุชู†ุง ุจุงู„ system
328
+
329
+ 83
330
+ 00:07:03,700 --> 00:07:08,100
331
+ ุงู„ุฃุฎุทุงุก ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠู‡ุง ูˆุจุงู„ุชุงู„ูŠ ู…ุฏู‰ ุชู‚ุฏูŠุฑู†ุง
332
+
333
+ 84
334
+ 00:07:08,100 --> 00:07:12,540
335
+ ู„ู…ุณุชูˆูŠุงุช ุฃูˆ ูƒู…ูŠุงุช ุงู„ุฎุทุฃ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„ุชุฌุงุฑุจ
336
+
337
+ 85
338
+ 00:07:16,610 --> 00:07:21,710
339
+ Sometimes the term coverage is used in place of
340
+
341
+ 86
342
+ 00:07:21,710 --> 00:07:25,570
343
+ confidence to reflect the empirical nature of
344
+
345
+ 87
346
+ 00:07:25,570 --> 00:07:29,370
347
+ these estimates ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู†ุณุชุฎุฏู…ุด ุงู„ู„ูŠ ู‡ูˆ
348
+
349
+ 88
350
+ 00:07:29,370 --> 00:07:34,070
351
+ confidence ู†ุณุชุฎุฏู… ุงู„ู…ุตุทู„ุญ coverage coverage ู„ุฃู† ุงู„
352
+
353
+ 89
354
+ 00:07:34,070 --> 00:07:41,090
355
+ confidence ูŠุชู… ุงุดุชู‚ุงู‚ู‡ ุจู†ุงุก ุนู„ู‰ ุชุญู„ูŠู„ ุฅุญุตุงุฆูŠ ุงู„
356
+
357
+ 90
358
+ 00:07:41,090 --> 00:07:45,350
359
+ coverageู…ุด ุจุฏุฑูˆุฑ ูŠูƒูˆู† ุจู†ุงุก ุนู„ู‰ ุชุญู„ูŠู„ ุงูุณุงุฏ ู…ู…ูƒู†
360
+
361
+ 91
362
+ 00:07:45,350 --> 00:07:48,890
363
+ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุณุงุจู‚ุฉ ุฃูˆ ุนู„ู‰ ุฎุจุฑุฉ ุณุงุจู‚ุฉ ูŠุนู†ูŠ ููŠ ุงู„ุขุฎุฑ
364
+
365
+ 92
366
+ 00:07:48,890 --> 00:07:55,930
367
+ ู‡ูŠ ุจุชุธู„ ุนู…ู„ูŠุฉ ุชู‚ุฏูŠุฑูŠุฉ ุชุนุชู…ุฏุด ูƒุชูŠุฑ ุนู„ู‰ ุงู„ุญุณุงุจ ุชุนุชู…ุฏ
368
+
369
+ 93
370
+ 00:07:55,930 --> 00:08:06,070
371
+ ุนู„ู‰ ุงู„ุฎุจุฑุฉ ูˆู…ุนุฑ๏ฟฝ๏ฟฝุชู†ุง ู„ู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ data
372
+
373
+ 94
374
+ 00:08:06,070 --> 00:08:06,750
375
+ reduction
376
+
377
+ 95
378
+ 00:08:09,680 --> 00:08:13,380
379
+ often requires knowledge of the physical
380
+
381
+ 96
382
+ 00:08:13,380 --> 00:08:16,840
383
+ properties system dimensions or electrical
384
+
385
+ 97
386
+ 00:08:16,840 --> 00:08:20,600
387
+ characteristics ุฏู„ุงู† ุนุงุฏุฉ ุงู† ุงู†ุง ุจูƒูˆู† ุนู†ุฏู‰ data
388
+
389
+ 98
390
+ 00:08:20,600 --> 00:08:27,340
391
+ reduce ุงูŠุด ู…ุนู†ุงู‡ ุจุงุฎุชุฒู„ู‡ุง ุงุฎุชุฒุงู„ ุงู„ุจูŠุงู†ุงุช ูŠุชุทู„ุจ
392
+
393
+ 99
394
+ 00:08:27,340 --> 00:08:34,880
395
+ ู…ุนุฑูุฉ ู„ู„ุฎูˆุงุต ุงู„ุทุจูŠุนูŠ ู„ู„ู†ุธุงู… ุงูˆ ู„ู„ ุงู„ ุงู„ ุงู„ ุงู„ุงู„ุงุดูŠ
396
+
397
+ 100
398
+ 00:08:34,880 --> 00:08:37,620
399
+ ุงู„ู„ู‰ ุงู†ุง ุจุฏู‡ ุงู‚ูŠุณ .. ุจุฏู‡ ุงู‚ูŠุณ ุญุฑุงุฑุฉ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ
400
+
401
+ 101
402
+ 00:08:37,620 --> 00:08:44,440
403
+ ูƒุซุงูุฉ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ ุทูˆู„ ุงูˆ ุจุฏู‡ ุงู‚ูŠุณ ู„ุฒูˆุฌุฉ system
404
+
405
+ 102
406
+ 00:08:44,440 --> 00:08:47,700
407
+ dimensions or electrical characteristics ุงุฐุง ุนู†ุฏูŠ
408
+
409
+ 103
410
+ 00:08:47,700 --> 00:08:50,060
411
+ ุฌู‡ุงุฒ ุจูŠุนุทูŠู†ูŠ ุงู„ digital layout ู…ุนู†ุงุชู‡ ูˆุงุถุญ ุงู†ู‡
412
+
413
+ 104
414
+ 00:08:50,060 --> 00:08:55,420
415
+ ุจุญูˆู„ ุงู„ analog signalู„ู€ digital signal ูุตุงุฑ ุนู†ุฏู‰
416
+
417
+ 105
418
+ 00:08:55,420 --> 00:08:59,220
419
+ some form of transformation ุงู„ุชุญูˆู„ ู‡ุฐุง ุงูˆ ุงู„ุชุญูˆู„ุงุช
420
+
421
+ 106
422
+ 00:08:59,220 --> 00:09:02,920
423
+ ุงู„ู„ู‰ ุจูŠุตูŠุฑ ูŠุฏูŠุด ุงู†ุง ุจูู‡ู… ูƒูŠู ุจูŠุตูŠุฑ ุงู„ุชุญูˆู„ุงุช ู‡ุฐู‡
424
+
425
+ 107
426
+ 00:09:02,920 --> 00:09:09,600
427
+ ู…ู…ูƒู† ุงู‚ุฏุฑ ุงู„ bias error ุงู„ู„ู‰ ุจูŠุตูŠุฑ ููŠ ุงู„ุฌู‡ุงุฒ
428
+
429
+ 108
430
+ 00:09:09,600 --> 00:09:15,570
431
+ ุนู„ู‰ ุณุจูŠู„ ู…ุซุงู„A flow meter measurement may depend
432
+
433
+ 109
434
+ 00:09:15,570 --> 00:09:21,170
435
+ on density of water and tube diameter ู‚ูŠุงุณ ุงู„ุชุฏูู‚
436
+
437
+ 110
438
+ 00:09:21,170 --> 00:09:27,030
439
+ ุชุฏูู‚ ุจุนุชู…ุฏ ุนู„ู‰ ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูˆู‚ุทุฑ ุงู„ุฅู†ุจูˆุจ
440
+
441
+ 111
442
+ 00:09:36,200 --> 00:09:39,100
443
+ ุงู„ุงู† differences between the assumed values of
444
+
445
+ 112
446
+ 00:09:39,100 --> 00:09:44,160
447
+ these components ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ
448
+
449
+ 113
450
+ 00:09:44,160 --> 00:09:46,900
451
+ ู„ู„ these components ุงู„ components ุงู„ู…ู‚ุตูˆุฏ ููŠู‡ุง ุงูŠุด
452
+
453
+ 114
454
+ 00:09:46,900 --> 00:09:52,730
455
+ ุงู„ densityูˆ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ Envelope and their
456
+
457
+ 115
458
+ 00:09:52,730 --> 00:09:57,630
459
+ actual values ู„ุฅู† ููŠู‡ ูุฑู‚ ุจูŠู† ุงู„ู‚ูŠู… ุงู„ู…ูุชุฑุถุฉ ูˆ
460
+
461
+ 116
462
+ 00:09:57,630 --> 00:10:02,430
463
+ ุงู„ู‚ูŠู… ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ุฅู† ู‡ุฐุง ุงู„ูุฑู‚ ู…ู…ูƒู† systematize
464
+
465
+ 117
466
+ 00:10:02,430 --> 00:10:07,490
467
+ shift all ู„ูŠุนู…ู„ุด ุฅุฒุงุญุฉ ู„ูƒู„ ุงู„ู‚ุฑุงุกุงุช ูˆุจุงู„ุชุงู„ูŠ ุจูŠุนู…ู„
468
+
469
+ 118
470
+ 00:10:07,490 --> 00:10:11,740
471
+ bias errorุงู„ bias error ูŠุนู†ูŠ ุชู‚ุฑูŠุจ ุจูŠูƒูˆู† ุนู†ุฏูŠ
472
+
473
+ 119
474
+ 00:10:11,740 --> 00:10:15,820
475
+ shift ุซุงุจุช ุจูŠูƒูˆู† shift ุซุงุจุช ุงู„ precision error
476
+
477
+ 120
478
+ 00:10:15,820 --> 00:10:19,100
479
+ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ fluctuation ููŠ ุนู†ุฏูŠ ุชุฐุจุฐุจ ุญูˆู„ ุงู„
480
+
481
+ 121
482
+ 00:10:19,100 --> 00:10:23,540
483
+ central value ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ bias ูˆ ุงู„ precision
484
+
485
+ 122
486
+ 00:10:23,540 --> 00:10:27,020
487
+ ุงู„ precision ููŠ ุชุฐุจุฐุจ ุจุดูƒู„ ุนุดูˆุงุฆูŠ ุญูˆู„ ุงู„ central
488
+
489
+ 123
490
+ 00:10:27,020 --> 00:10:31,580
491
+ value ู„ูƒู† ุงู„ bias ุจูŠูƒูˆู† ููŠ some fixed shift ุณูˆุงุก
492
+
493
+ 124
494
+ 00:10:31,580 --> 00:10:34,180
495
+ positive ุฃูˆ negative ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ ุฏุงูŠู…ุง ุจูŠู‚ุฑุฃ
496
+
497
+ 125
498
+ 00:10:34,180 --> 00:10:38,220
499
+ ุจุงู„ุฒูŠุงุฏุฉ ุฏุงูŠู…ุง ุงูˆ ุจูŠู‚ุฑุฃ ุงู‚ู„ ู‡ุฐุง ู‡ูˆ ุงู„ bias error
500
+
501
+ 126
502
+ 00:10:42,400 --> 00:10:46,300
503
+ ุงุญู†ุง ุญุงู„ูŠุง ู†ุญูƒูŠ ุนู„ู‰ ู…ุซุงู„ hystable flow to find
504
+
505
+ 127
506
+ 00:10:46,300 --> 00:10:52,920
507
+ water's density ุนุดุงู† ุงูˆุฌุฏ ูƒุซุงูุฉ ุงู„ู…ูŠู‡ุŒ ูƒุซุงูุฉ ุงู„ู…ูŠู‡
508
+
509
+ 128
510
+ 00:10:52,920 --> 00:10:57,940
511
+ ุจุชุชุบูŠุฑ ู…ุน ุงู„ุชุบูŠุฑ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู…ุนู†ุงุชู‡ I have to
512
+
513
+ 129
514
+ 00:10:57,940 --> 00:11:02,510
515
+ define temperatureุŒ temperature is specifiedุจุนุฏูŠู†
516
+
517
+ 130
518
+ 00:11:02,510 --> 00:11:05,350
519
+ ุจุฑูˆุญ ุนู„ู‰ ูƒุชุงุจ ุนู„ู‰ handbook ู…ู† ุฌุฏุงูˆู„ุŒ ู…ู† ุงู„ุฌุฏุงูˆู„
520
+
521
+ 131
522
+ 00:11:05,350 --> 00:11:10,310
523
+ ุจุชุทู„ุน ูˆุงู„ู„ู‡ ุนู†ุฏ ุฎู…ุณูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูƒุฐุงุŒ
524
+
525
+ 132
526
+ 00:11:10,310 --> 00:11:14,570
527
+ ุนู†ุฏ ุฃุฑุจุนูŠู† ุฏุฑุฌุฉ ุจุชูƒูˆู† ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูƒุฐุงุŒ ู…ุนู†ุงู‡ ููŠ
528
+
529
+ 133
530
+ 00:11:14,570 --> 00:11:18,670
531
+ ุงู„ุฃูˆู„ I specify ุงู„ temperature ุจุนุฏูŠู† ุจุฑูˆุญ ุนู„ู‰ ูƒุชุงุจ
532
+
533
+ 134
534
+ 00:11:18,670 --> 00:11:23,490
535
+ handbook ู…ู† ุงู„ุฌุฏุงูˆู„ุŒ ุจุชุทู„ุน ุงู„ูƒุซุงูุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
536
+
537
+ 135
538
+ 00:11:23,490 --> 00:11:27,010
539
+ ุทู„ุนุช ู…ุซู„ุง ุฌุณุฉ ุนู…ูŠุฉ ูˆุงุชู…ู†ุน ุชุณุนูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰
540
+
541
+ 136
542
+ 00:11:27,010 --> 00:11:33,750
543
+ ุงู„ู…ุชุฑ ุงู„ู…ูƒุนุจุŒ ุงู† ุฏุฑุฌุฉ ู‡ูˆ ุชุญุช ุงู„ุฏุฑุงุณุฉุงู„ุงู† ุงุฐุง ูƒุงู†
544
+
545
+ 137
546
+ 00:11:33,750 --> 00:11:40,270
547
+ ููŠ ุฎุทุฃ ุนุฏู… ุฏู‚ุฉ ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูŠุนู†ูŠ
548
+
549
+ 138
550
+ 00:11:40,270 --> 00:11:46,440
551
+ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู†ุชู„ุงุชูŠู† ุงู†ุง ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู†
552
+
553
+ 139
554
+ 00:11:46,440 --> 00:11:50,180
555
+ ุฏุงูŠู…ุง ุงูุชุฑุถุช ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ู…ุน ุงู† ููŠ ุนู†ุฏูŠ bias ููŠ
556
+
557
+ 140
558
+ 00:11:50,180 --> 00:11:55,660
559
+ ุงู„ู‡ุฑู ุฏุงูŠู…ุง ุจุงุฎุฏ ูƒุฑุงุกุฉ ู…ู„ุญุฑูุฉ ุจุดูƒู„ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ
560
+
561
+ 141
562
+ 00:11:55,660 --> 00:11:59,600
563
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ bias uncertainty ููŠ ุงู„ูƒุซุงูุฉ
564
+
565
+ 142
566
+ 00:11:59,600 --> 00:12:03,940
567
+ ุทู„ุนุช ู…ุนุงูŠุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ุงุชู†ูŠู† kilogram ู„ูƒู„ ู…ุชุฑ
568
+
569
+ 143
570
+ 00:12:03,940 --> 00:12:09,690
571
+ ู…ูƒุนุจ this uncertainty ู‡ุฐุง ุงู„ุฎุทุฃุงู„ู„ูŠ ู‡ูˆ ุงู„ bias
572
+
573
+ 144
574
+ 00:12:09,690 --> 00:12:13,770
575
+ uncertainty may cover 95% of the temperature range
576
+
577
+ 145
578
+ 00:12:13,770 --> 00:12:17,570
579
+ we expect is possible for the system ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„
580
+
581
+ 146
582
+ 00:12:17,570 --> 00:12:24,430
583
+ uncertainty .. ุงู„ uncertainty ู…ู…ูƒู† ุชู‚ุฏุฑ ุจุฏุฑุฌ
584
+
585
+ 147
586
+ 00:12:24,430 --> 00:12:27,850
587
+ ุงู„ุชุฃูƒุฏ ู…ุนูŠู† ุนุดุงู† ู†ุจูŠู‡ ู…ุซู„ุง 95% ู„ู„ temperature
588
+
589
+ 148
590
+ 00:12:27,850 --> 00:12:30,050
591
+ range ุชุญุช ุงู„ุฏุฑุงุณุฉ ู…ุซู„ุง ุงู„ temperature range ุนู†ุฏูŠ
592
+
593
+ 149
594
+ 00:12:30,050 --> 00:12:32,930
595
+ ู…ุซู„ุง ู…ู† ุนุดุฑูŠู† ู„ุชู„ุงุชูŠู†ุŒ ู…ู† ุนุดุฑูŠู† ู„ุงุฑุจุนูŠู†
596
+
597
+ 150
598
+ 00:12:36,420 --> 00:12:41,780
599
+ this inaccuracy ู‡ุฏู‚ ุงูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ will
600
+
601
+ 151
602
+ 00:12:41,780 --> 00:12:47,400
603
+ systematically ุจุดูƒู„ ู…ู†ุชุธู… affect all data ู‡ุชุฃุซุฑ
604
+
605
+ 152
606
+ 00:12:47,400 --> 00:12:52,520
607
+ ุนู„ู‰ ูƒู„ ุงู„ุจูŠุงู†ุงุช using the particular value of
608
+
609
+ 153
610
+ 00:12:52,520 --> 00:12:53,380
611
+ density
612
+
613
+ 154
614
+ 00:12:58,260 --> 00:13:03,340
615
+ ุงู‡ู†ุง ุญูƒูŠู†ุง ุงู„ุญุตุฉ ุงู„ flow rate ุจุนุชู…ุฏ ุนู„ู‰ ุงู„ density
616
+
617
+ 155
618
+ 00:13:03,340 --> 00:13:07,860
619
+ ุงู„ู…ูŠู‡ ู…ุซู„ุง ูˆ ุนู„ู‰ ุงู„ู‚ุทุฑ ุงู„ู†ุจูˆุจ normal diameter of
620
+
621
+ 156
622
+ 00:13:07,860 --> 00:13:11,880
623
+ the tube ุจู†ูุณ ุงู„ุณูŠุงู‚ ุงู„ normal diameter of the
624
+
625
+ 157
626
+ 00:13:11,880 --> 00:13:15,700
627
+ pipe may differ from production diameter by some
628
+
629
+ 158
630
+ 00:13:15,700 --> 00:13:22,990
631
+ percent ู„ุฃู† ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ู†ุจูˆุจู…ุซู„ุง ู†ุญูƒูŠ ู…ุซู„ุง ูˆุงุญุฏ
632
+
633
+ 159
634
+ 00:13:22,990 --> 00:13:27,430
635
+ inch ุงูˆ ุงุชู†ูŠู† inch ู‡ุฐุง ุงู„ nominal ุงู„ู„ูŠ ุงู„ู…ูุชุฑุถ ุงู†
636
+
637
+ 160
638
+ 00:13:27,430 --> 00:13:32,210
639
+ ูŠูƒูˆู† ู„ูƒู† ู†ุชูŠุฌุฉ ุชุตู†ูŠุน ุจุชูƒูˆู† ููŠ ู†ุณุจุฉ ุฎุทุฃ ูููŠ some
640
+
641
+ 161
642
+ 00:13:32,210 --> 00:13:37,590
643
+ percentage error ููŠ ุงู„ู‚ุทุฑ ูููŠ ุฎุทุฃ ุจุงู„ุงุด ู‚ุทุฑ ู†ุจูˆู‡
644
+
645
+ 162
646
+ 00:13:37,590 --> 00:13:43,290
647
+ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ุทุจุนุง potential sources of
648
+
649
+ 163
650
+ 00:13:43,290 --> 00:13:49,570
651
+ errorู†ุญูƒูŠ ู…ุตุงุฏุฑ ู…ุญุชู…ู„ ุงู„ุฎุทุฃ such as these ุงู„ู„ูŠ ู‡ูŠ
652
+
653
+ 164
654
+ 00:13:49,570 --> 00:13:52,930
655
+ ู†ุชูŠุฌุฉ ุงู„ุชุตู†ูŠุน remain unchanged for each
656
+
657
+ 165
658
+ 00:13:52,930 --> 00:13:55,910
659
+ measurement made with the system ุงู„ุงู† ู‡ูˆ ุงู„ุงู†ุจูˆุจ
660
+
661
+ 166
662
+ 00:13:55,910 --> 00:14:01,170
663
+ ู…ุตู†ุน ูˆ ุฎุงู„ุต ู…ุด ู‡ุตู†ุน ุงู†ุจูˆุจ ุฎู„ุงุต ุงู†ุง ู„ .. ู„ .. ู„ ..
664
+
665
+ 167
666
+ 00:14:01,170 --> 00:14:04,890
667
+ ู„ู‚ูŠุง .. ูˆ ุงู‚ูŠุณ ูƒุชุฑ ุงู„ุงู† ู‡ูˆ already ุตู†ุน ูˆ ุงู„ุฃุฎุทุงุก
668
+
669
+ 168
670
+ 00:14:04,890 --> 00:14:08,030
671
+ ุงู„ู„ูŠ ููŠ ุงู„ุชุตู†ูŠุน already ุตุงุฑุช ุญุตู„ุช ูˆ ุจุงู„ุชุงู„ูŠ
672
+
673
+ 169
674
+ 00:14:08,030 --> 00:14:11,090
675
+ ุงู„ุฃุฎุทุงุก ู‡ุฐู‡ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุฃุณุงุณุง ููŠ ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ
676
+
677
+ 170
678
+ 00:14:11,090 --> 00:14:15,900
679
+ ุฏุงูŠู…ุง ุจุณุชุฎุฏู…ู‡ุง ุงู†ู‡ุง ู‡ุชุจู‚ู‰ ุชุนู…ู„ูŠ biasูŠุนู†ูŠ ุงู†ุญุฑุงู
680
+
681
+ 171
682
+ 00:14:15,900 --> 00:14:26,460
683
+ ุซุงุจุช ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุตุญ ู„ุญุณุงุจ ุงู„ู‚ุทุฑ if the uncertainty
684
+
685
+ 172
686
+ 00:14:26,460 --> 00:14:31,100
687
+ related to manufacturing tolerance is unacceptably
688
+
689
+ 173
690
+ 00:14:31,100 --> 00:14:36,080
691
+ large ุฅุฐุง ูƒุงู† ุงู„ุฎุทุฃ ุงู„ู…ุฑุชุจุท ุจุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ูƒุงู†
692
+
693
+ 174
694
+ 00:14:36,080 --> 00:14:43,680
695
+ ูƒุจูŠุฑุŒ ูƒุงู† ูƒุจูŠุฑ ูƒุชูŠุฑู…ู…ูƒู† ุงุญู†ุง ู†ุงุฎุฏ ู‚ูŠุงุณุงุช ู„ู„ู‚ุทุฑ
696
+
697
+ 175
698
+ 00:14:43,680 --> 00:14:49,020
699
+ ู†ุณุชุฎุฏู… ู…ุซู„ุง ุงู„ digital caliber ุฏู‚ุฉ ู…ุซู„ุง point oh
700
+
701
+ 176
702
+ 00:14:49,020 --> 00:14:53,460
703
+ one millimeter ู†ุงุฎุฏ ู‚ุฑุงุกุชู†ุง ุงุญู†ุง ูˆ ู†ุนุชู…ุฏ ุงู„ู‚ุฑุงุกุฉ
704
+
705
+ 177
706
+ 00:14:53,460 --> 00:14:58,400
707
+ ุงู„ุญู‚ูŠู‚ูŠุฉ as measured ู„ุงู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู„ู…ุง ู†ุญูƒูŠ
708
+
709
+ 178
710
+ 00:14:58,400 --> 00:15:01,140
711
+ ุงู†ุฏูŠ ุงู„ digital caliber ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
712
+
713
+ 179
714
+ 00:15:01,140 --> 00:15:04,760
715
+ resolution ุจุชุงุน point oh one millimeter ู…ุนู†ุงุชู‡ููŠ
716
+
717
+ 180
718
+ 00:15:04,760 --> 00:15:08,640
719
+ precision ููŠ ุฏู‚ุฉ ููŠ ุฏู‚ุฉ ููŠ ุงู„ู‚ุฑุงูŠุฉ ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง
720
+
721
+ 181
722
+ 00:15:08,640 --> 00:15:13,960
723
+ ู…ุชูˆู‚ุน ุงู„ answer ุชู†ุชู‡ูŠ ุงู„ู„ูŠ ู†ุงุชุฌุฉ ุนู† ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุทุฑ
724
+
725
+ 182
726
+ 00:15:13,960 --> 00:15:19,720
727
+ ู†ุงุชุฌุฉ ุนู† .. ู†ุงุชุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ู…ู…ูƒู† ุฃู‚ู„ู„ู‡ุง ุฅุฐุง
728
+
729
+ 183
730
+ 00:15:19,720 --> 00:15:25,400
731
+ ุฃู†ุง ู‚ู…ุช ุจู‚ูŠุงุณ ุงู„ู‚ุทุฑ ุจุดูƒู„ ุญู‚ูŠู‚ูŠ ุจุงุณุชุฎุฏุงู… ุฃุฌู‡ุฒุฉ ุฃูƒุซุฑ
732
+
733
+ 184
734
+ 00:15:25,400 --> 00:15:26,920
735
+ ุฅูŠุงุด ุฏู‚ุฉ
736
+
737
+ 185
738
+ 00:15:33,310 --> 00:15:37,150
739
+ Calibration uncertainty ู‡ูˆ ุงู„ุฎุทุฃ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ
740
+
741
+ 186
742
+ 00:15:37,150 --> 00:15:40,990
743
+ ุงู„ู…ุนุงูŠุฑุฉ is another common source of bias
744
+
745
+ 187
746
+ 00:15:40,990 --> 00:15:41,810
747
+ uncertainty
748
+
749
+ 188
750
+ 00:15:44,360 --> 00:15:48,100
751
+ ุนู…ู„ูŠุฉ ุงู„ู…ุนุงูŠูŠุฑ ุชุชุทู„ุจ ูŠูƒูˆู† ููŠ ุนู†ุฏู‰ ุงุดูŠ ู…ุฑุฌุนู‰ ุนุดุงู†
752
+
753
+ 189
754
+ 00:15:48,100 --> 00:15:51,900
755
+ ุงู‚ุงุฑู† ููŠู‡ requires a reference or standard against
756
+
757
+ 190
758
+ 00:15:51,900 --> 00:15:57,000
759
+ which system response can be compared ูŠุนู†ูŠ ุนุดุงู†
760
+
761
+ 191
762
+ 00:15:57,000 --> 00:16:04,640
763
+ ุงู†ุง ุงุนุฑู ุนู†ุฏู‰ ุฌู‡ุงุฒ ู…ูŠุฒุงู† ูŠุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉ
764
+
765
+ 192
766
+ 00:16:04,640 --> 00:16:12,070
767
+ ูŠุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉู„ุฃู† ุนุดุงู† ุฃุนู…ู„ู‡ calibration ู…ุซู„ุง
768
+
769
+ 193
770
+ 00:16:12,070 --> 00:16:19,090
771
+ ู†ุญูƒูŠ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ mass range ู„
772
+
773
+ 194
774
+ 00:16:19,090 --> 00:16:31,810
775
+ .. ู„ู„ู…ูŠุฒุงู† ู…ุซู„ุง ู…ู† ุณูุฑ ู„ุจูŠุช kilogram to
776
+
777
+ 195
778
+ 00:16:31,810 --> 00:16:36,480
779
+ calibrated ุนุดุงู† ุฃุนู…ู„ู‡ calibrationู…ู…ูƒู† ุงุนู…ู„ ุชุฌุฑุจุฉ
780
+
781
+ 196
782
+ 00:16:36,480 --> 00:16:44,340
783
+ ุงุฌูŠุจ ุจู„ูˆูƒุงุช ุฃูˆุฒุงู†ู‡ุง ู…ุนู„ูˆู…ุฉ ุจุดูƒู„ ุฏู‚ูŠู‚ ุฌุฏุง ูŠูƒูˆู† ุนู†ุฏู‡
784
+
785
+ 197
786
+ 00:16:44,340 --> 00:16:51,160
787
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard weight
788
+
789
+ 198
790
+ 00:16:51,160 --> 00:16:56,520
791
+ ูˆููŠ
792
+
793
+ 199
794
+ 00:16:56,520 --> 00:17:01,140
795
+ ุนู†ุฏ ุงู„ observed weight
796
+
797
+ 200
798
+ 00:17:05,480 --> 00:17:08,900
799
+ ุงู„ู„ูŠ ุจุงุฎุฏู‡ุง ู…ู† ุงู„ุฌู‡ุงุฒ ุงูˆู„ ู…ุง ุงุดุบู„ ุงู„ุฌู‡ุงุฒ ุงู„ู…ูุฑูˆุถ
800
+
801
+ 201
802
+ 00:17:08,900 --> 00:17:15,960
803
+ ูŠุนุทูŠู†ูŠ ุงูŠู‡ุŸ Zero ุงู†ุง ู…ุด ู‡ุญุท ุนู„ูŠู‡ ูˆุฒู†ุŒ ู‡ุงูŠ Zero ู…ุน
804
+
805
+ 202
806
+ 00:17:15,960 --> 00:17:24,700
807
+ Zero ู„ูˆ ุญุทูŠุช ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุซู„ุง ุงูˆ ุฎู„ูŠู†ูŠ ุงุญุท
808
+
809
+ 203
810
+ 00:17:24,700 --> 00:17:32,480
811
+ ู…ุซู„ุง ุนุดุฑูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุงู„ูƒุชู„ุฉ ู‡ู†ุง ุงู†ุง ุจุงุฎุฏ ู‚ุฑุงุฑ ู…ู†
812
+
813
+ 204
814
+ 00:17:32,480 --> 00:17:38,680
815
+ ุงู„ุฌู‡ุงุฒ ู‡ุชุนุทูŠู†ูŠ ุนุดุฑูŠู†ู…ู…ูƒู† ู…ู…ูƒู† ู„ุฃ ุตุญ ุญุท ู…ุซู„ุง ุนุดุฑูŠู†
816
+
817
+ 205
818
+ 00:17:38,680 --> 00:17:51,940
819
+ ู…ุซู„ุง point one ูˆ ุจุนุฏูŠู† ุญุทูŠุช ุงุฑุจุนูŠู† ุชุทูŠุจ
820
+
821
+ 206
822
+ 00:17:51,940 --> 00:18:01,000
823
+ ู…ุซู„ุง ุงุฑุจุนูŠู† point two ุญุทูŠุช
824
+
825
+ 207
826
+ 00:18:01,000 --> 00:18:01,600
827
+ ุณุชูŠู†
828
+
829
+ 208
830
+ 00:18:05,570 --> 00:18:16,270
831
+ ุนุทูŠู†ุง ุณุชูŠู† point ู…ุซู„ุง three ุญุทูŠุช ุชู…ุงู†ูŠู† ู…ุซู„ุง
832
+
833
+ 209
834
+ 00:18:16,270 --> 00:18:22,750
835
+ ุงุนุทุชู†ู‰ ุชู…ุงู†ูŠู† point five
836
+
837
+ 210
838
+ 00:18:22,750 --> 00:18:33,050
839
+ ุญุทูŠุช ู…ูŠุฉ ุงุนุทุชู†ู‰ ู…ูŠุฉ point four
840
+
841
+ 211
842
+ 00:18:37,090 --> 00:18:41,990
843
+ ู„ุฃู† ุฃู†ุง ุจุฏุฃุช ุนู…ู„ุช loading ูŠุนู†ูŠ ุจุฏุฃุช ุงู„ูˆุฒู† ุจุดูƒู„
844
+
845
+ 212
846
+ 00:18:41,990 --> 00:18:45,790
847
+ ู…ุชุตุนุจุŒ ุจุนุฏูŠู† ุจุฏุฃุช ุฃุฎูู ุงู„ุฃูˆุฒุงู† ุดูˆูŠู‡ ุดูˆูŠู‡ุŒ ุจุดูŠุฑุด
848
+
849
+ 213
850
+ 00:18:45,790 --> 00:18:50,390
851
+ ุงู„ุฃูˆุฒุงู† ูˆ ุจุญุท ูˆุฒู†ุŒ ู„ุฃ ุจุฎููุŒ ุญุทูŠุช ุชู…ุงู†ูŠู†
852
+
853
+ 214
854
+ 00:18:53,140 --> 00:19:01,740
855
+ ุชู…ุงู†ูŠู† ุงูˆ ุณุชูŠู† ูˆุงุฑุจุนูŠู† ูˆุนุดุฑูŠู† ูˆุฒูŠุฑูˆ ูˆุงุตู„ุช ุงุฎุฏ
856
+
857
+ 215
858
+ 00:19:01,740 --> 00:19:06,940
859
+ ู‚ุฑุงุฑุงุช ู…ุซู„ุง ุทุจุนุง ุฏูŠ ุชู…ุงู†ูŠู† ู…ุซู„ุง ุชู…ุงู†ูŠู† ุงูˆ ุชุณุนุฉ
860
+
861
+ 216
862
+ 00:19:06,940 --> 00:19:18,960
863
+ ูˆุณุจุนูŠู† ุชู…ุงู†ูŠู† point two then ุชุณุนุฉ ูˆุฎู…ุณูŠู† point
864
+
865
+ 217
866
+ 00:19:23,820 --> 00:19:34,260
867
+ four ู‡ู†ุง ุงุนุทุชู†ู‰ ุงุฑุจุนูŠู† ุชุณุนุฉ ูˆุชู„ุงุชูŠู† point ุชุณุนุฉ ู‡ู†ุง
868
+
869
+ 218
870
+ 00:19:34,260 --> 00:19:41,180
871
+ ุงุนุทุชู†ู‰ ุชุณุนุชุงุด point ุชุณุนุฉ
872
+
873
+ 219
874
+ 00:19:41,180 --> 00:19:48,760
875
+ ูˆ ู‡ู†ุง ุงุนุทุชู†ู‰ point one
876
+
877
+ 220
878
+ 00:19:48,760 --> 00:19:54,610
879
+ ู…ุซู„ุง ุงุฎุฏุช ุงู„ู‚ุฑุงุฑุงุช ู‡ุฐู‡ู‡ุฐู‡ ุงู„ real values ุงูˆ ุงู„
880
+
881
+ 221
882
+ 00:19:54,610 --> 00:20:00,110
883
+ standard values ู‡ุฐู‡ ุงู„ observed values ุงุฐุง ุจุนู…ู„
884
+
885
+ 222
886
+ 00:20:00,110 --> 00:20:07,370
887
+ plot ุฎู„ู†ุง ู†ุนู…ู„ plot ุงู„ู„ูŠ ู‡ุงุชูˆู† ุจุณ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุงู„
888
+
889
+ 223
890
+ 00:20:07,370 --> 00:20:10,790
891
+ Excel ุทุจุนุง ู‡ุฐู‡ ู‚ุฑุงุกุงุช ุงูุชุฑุงุถูŠุฉ
892
+
893
+ 224
894
+ 00:20:24,230 --> 00:20:33,090
895
+ ูŠุนู†ูŠ ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard ูˆู‡ูŠ
896
+
897
+ 225
898
+ 00:20:33,090 --> 00:20:38,510
899
+ ุงู„ observed ุงู„
900
+
901
+ 226
902
+ 00:20:38,510 --> 00:20:43,990
903
+ standard ุงุชูˆู†ูŠ ุงู„ู‚ุฑุงุกุงุช ุฏูŠ ุฎู„ู‘ูŠู†ูŠ ุงุญู†ุง ู†ูƒูˆู† ุณูุฑ
904
+
905
+ 227
906
+ 00:20:43,990 --> 00:20:47,870
907
+ ุณูุฑ
908
+
909
+ 228
910
+ 00:20:50,120 --> 00:21:00,480
911
+ ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ ุชู…ุงู†ูŠู† ุณุชูŠู† ุงุฑุจุนูŠู†
912
+
913
+ 229
914
+ 00:21:00,480 --> 00:21:09,720
915
+ ุนุดุฑูŠู† ุฒูŠุฑูˆ ุงู„ observe ุจุชุทูˆู„ ุงู„ุฃุฑู‚ุงู… ุงู„ุณูุฑ ุนุดุฑูŠู†
916
+
917
+ 230
918
+ 00:21:09,720 --> 00:21:14,100
919
+ ุงู„ุณูุฑ ุนุดุฑูŠู† point ูˆุงุญุฏ ุนุดุฑูŠู† point ูˆุงุญุฏ ุงุฑุจุนูŠู†
920
+
921
+ 231
922
+ 00:21:14,100 --> 00:21:17,240
923
+ point ุงุชู†ูŠู† ุณุชูŠู† point ุชู„ุงุชุฉ
924
+
925
+ 232
926
+ 00:21:21,330 --> 00:21:35,790
927
+ 100.4 80.2 59.4 39.9 19.9 0.1
928
+
929
+ 233
930
+ 00:22:01,610 --> 00:22:09,530
931
+ ุฎู„ู‘ูŠู†ูŠ ุฃู† ุฃุถูŠู .. ุฃุถูŠู chart
932
+
933
+ 234
934
+ 00:22:37,870 --> 00:22:40,730
935
+ ุฎู„ู‘ูŠู†ูŠ ุฃุบูŠุฑ ู†ูˆุน ุงู„ chart ุฎู„ู‘ูŠู†ูŠ ุงุณู…ู‡ scatter
936
+
937
+ 235
938
+ 00:22:45,220 --> 00:22:48,840
939
+ ุฎู„ู‘ูŠู†ูŠ ุฃุชุฃูƒุฏ ุงู„ data ู‡ู…ูˆู„ู‡ุง ุตุญ ุฎู„ู‘ูŠู†ูŠ ุฃุดูŠู„ู‡ุง ูƒู„ู‡ุง
940
+
941
+ 236
942
+ 00:22:48,840 --> 00:22:51,980
943
+ add
944
+
945
+ 237
946
+ 00:22:51,980 --> 00:23:05,380
947
+ ุงู„ x axis ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard ูˆ ุงู„ y axis ุงู„ู„ูŠ
948
+
949
+ 238
950
+ 00:23:05,380 --> 00:23:06,020
951
+ ู‡ูˆ ุงู„ observed
952
+
953
+ 239
954
+ 00:23:18,030 --> 00:23:24,770
955
+ ุทุจ ุจุฏูƒูˆุง ุชู„ุงุญุธูˆุง ูŠุนู†ูŠ
956
+
957
+ 240
958
+ 00:23:24,770 --> 00:23:30,650
959
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู†ุง ุจุฏุฃุช ุทุงู„ุน ุทู„ูˆุน ุณูุฑ ุนุดุฑูŠู† ุงุฑุจุนูŠู†
960
+
961
+ 241
962
+ 00:23:30,650 --> 00:23:35,010
963
+ ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ ุจุนุฏูŠู† ุงู†ุฒู„ุช
964
+
965
+ 242
966
+ 00:23:38,180 --> 00:23:43,620
967
+ ุชู…ุงู†ูŠู† ุณุชูŠู† ุงุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ูŠุนู†ูŠ ุนู†ุฏ ุงู„ุนุดุฑูŠู† ู‡ูƒูˆู†
968
+
969
+ 243
970
+ 00:23:43,620 --> 00:23:52,480
971
+ ููŠู‡ ู‚ุฑุฃุชูŠู† ู„ูˆ ุงู†ุง ุงูƒุจุฑ ู‡ู†ุง ุนู†ุฏ ุงู„ุนุดุฑูŠู† ุดุงูŠููŠู†
972
+
973
+ 244
974
+ 00:23:52,480 --> 00:23:59,620
975
+ ุนู†ุฏ ู‡ู†ุง ููŠู‡ ู‚ุฑุฃุชูŠู† ู…ุด ู…ู†ุทุจู‚ูŠู† ุนู„ู‰ ุจุนุถ ูˆ ู†ูุณ
976
+
977
+ 245
978
+ 00:23:59,620 --> 00:24:05,440
979
+ ุงู„ุงุดุฑุงุฎุงุช ู…ุซู„ุง ุนู†ุฏ ุงู„ุณุชูŠู† ุนู†ุฏ ุงู„ุณุชูŠู†
980
+
981
+ 246
982
+ 00:24:12,090 --> 00:24:17,390
983
+ ู‡ูŠ ุจุฑุถู‡ ุนู†ุฏูŠ ุงูŠุดุŸ ู‚ุฑุงุกุชูŠู† ูุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุนู†ุฏูŠ two
984
+
985
+ 247
986
+ 00:24:17,390 --> 00:24:25,030
987
+ curves ุฃุตู„ curve ุฃูˆุตู„ ุงู„ู†ู‚ุงุท ู‡ุฐุง
988
+
989
+ 248
990
+ 00:24:25,030 --> 00:24:29,070
991
+ ููŠ ุงู„ loading ูˆุงู„ู†ู‚ุงุท ููŠ ุงู„ุฑุงุฌุน ููŠ ุงู„ unloading
992
+
993
+ 249
994
+ 00:24:29,070 --> 00:24:30,970
995
+ ู‡ูŠูƒูˆู† ููŠ ุจูŠู†ู‡ู… area
996
+
997
+ 250
998
+ 00:24:33,780 --> 00:24:36,520
999
+ area ู‡ุฐู‡ ุงู„ area ุงู„ู„ูŠ ู‡ูŠ ุงู„ history ุฅุฐุง ููŠู‡ ุงุฎุชู„ุงู
1000
+
1001
+ 251
1002
+ 00:24:36,520 --> 00:24:40,280
1003
+ ููŠ ุงู„ loading ุนู† ุงู„ unloading ู…ู…ูƒู† ุชูƒูˆู† ู„ุนุฏุฉ ุฃุณุจุงุจ
1004
+
1005
+ 252
1006
+ 00:24:40,280 --> 00:24:46,760
1007
+ ุงู„ friction ุงู„ุงุญุชูƒุงูƒ ุฃูˆ ุฅุฐุง ููŠ ูุฑุงุบุงุช ููŠ ู…ุซู„ุง ููŠ
1008
+
1009
+ 253
1010
+ 00:24:46,760 --> 00:24:49,680
1011
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจูŠู‚ูŠุต ุจุงุณุชุฎุฏุงู… ุงู„ุชุฑูˆุณ ุฃูˆ ุดุนุฑ ููŠู‡
1012
+
1013
+ 254
1014
+ 00:24:49,680 --> 00:24:53,100
1015
+ ูุฑุงุบุงุช ูุงู„ loading ุจูŠูƒูˆู† ุถุบุท ู„ู…ุง ู†ุฑุฌุน ุจูŠุตูŠุฑ ุฅุดูŠ
1016
+
1017
+ 255
1018
+ 00:24:53,100 --> 00:25:00,120
1019
+ ุชุงู†ูŠ ุทุจ ู…ู…ูƒู† ูŠุทู„ุจ ู…ู†ู†ุง ู†ุญุณุจ ู‡ุงูŠ ู…ุณุงุญุฉ ุฃูˆ ุชู†ุญุณุจ ุงู‡
1020
+
1021
+ 256
1022
+ 00:25:00,740 --> 00:25:03,840
1023
+ ุงู„ุงู† ุฎู„ูŠู†ูŠ ุงูˆู„ ุดูŠ ุงู†ุง ุนุดุงู† ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1024
+
1025
+ 257
1026
+ 00:25:03,840 --> 00:25:04,460
1027
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1028
+
1029
+ 258
1030
+ 00:25:04,460 --> 00:25:04,460
1031
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1032
+
1033
+ 259
1034
+ 00:25:04,460 --> 00:25:06,960
1035
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1036
+
1037
+ 260
1038
+ 00:25:06,960 --> 00:25:07,620
1039
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1040
+
1041
+ 261
1042
+ 00:25:07,620 --> 00:25:13,040
1043
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1044
+
1045
+ 262
1046
+ 00:25:13,040 --> 00:25:13,040
1047
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1048
+
1049
+ 263
1050
+ 00:25:13,040 --> 00:25:15,040
1051
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1052
+
1053
+ 264
1054
+ 00:25:15,040 --> 00:25:15,080
1055
+ ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง ุงู†ุง
1056
+
1057
+ 265
1058
+ 00:25:15,080 --> 00:25:26,800
1059
+ ุงู†ุง ุงู†ุง
1060
+
1061
+ 266
1062
+ 00:25:26,800 --> 00:25:26,800
1063
+ ุงู†ุง
1064
+
1065
+ 267
1066
+ 00:25:37,290 --> 00:25:44,570
1067
+ ุงู„ุงู† ุชุทู„ุนูˆุง ุนู†ุฏู‰ ู„ูˆ ูƒุงู† .. ู„ูˆ ูƒุงู† ุงู„ุฌู‡ุงุฒ .. ู„ูˆ ูƒุงู†
1068
+
1069
+ 268
1070
+ 00:25:44,570 --> 00:25:50,110
1071
+ ุงู„ุฌู‡ุงุฒ perfect ู…ูŠุฉ ู…ูŠุฉ ู…ุง ูŠูุด ููŠู‡ error ุงู„ู…ูุฑูˆุถ ู„ูˆ
1072
+
1073
+ 269
1074
+ 00:25:50,110 --> 00:25:57,570
1075
+ ุญูƒูŠุชู‡ุง ุฏูŠ x ู‡ุฐู‡ y ุงู„ู…ูุฑูˆุถ y ุชุณุงูˆูŠ x ูŠุนู†ูŠ ุฅุฐุง ู‡ุฏุง
1076
+
1077
+ 270
1078
+ 00:25:57,570 --> 00:26:04,390
1079
+ perfect ุฅุฐุง ูƒุงู†ุช ุงู„ุญู‚ูŠู‚ูŠุฉ zero ู‡ุทู„ุน zero ุฅุฐุง ู‡ุฐู‡
1080
+
1081
+ 271
1082
+ 00:26:04,390 --> 00:26:11,920
1083
+ ุนุดุฑูŠู† ู‡ุทู„ุน ุนุดุฑูŠู†ุงู„ุฒูŠุงุฏุฉ ุงุฑุจุนูŠู† ู‡ุชุทู„ุน ุงุฑุจุนูŠู† ู„ูƒู† ู…ุด
1084
+
1085
+ 272
1086
+ 00:26:11,920 --> 00:26:15,480
1087
+ perfect ู„ุด ููŠู‡ ุงุฎุชู„ุงู ููˆุงุถุญ ุงู† ุนู†ุฏูŠ ุทู„ุน ุงู„ุงุณู„ูˆุจ
1088
+
1089
+ 273
1090
+ 00:26:15,480 --> 00:26:25,320
1091
+ ุงู„ุญู‚ูŠู‚ูŠ ู‡ุฐุง y ุฏูŠ ุงุณู…ู‡ ideal ุงู„ y ุงู„ real ุจุงู„ุณุงูˆู„
1092
+
1093
+ 274
1094
+ 00:26:25,320 --> 00:26:36,420
1095
+ ู‡ูŠ ูˆุงุญุฏ point O O ุชู„ุงุช ุงุชู†ูŠู† X minus point O
1096
+
1097
+ 275
1098
+ 00:26:39,700 --> 00:26:48,940
1099
+ ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ due to calibration ุงุณุชุทุนู†ุง
1100
+
1101
+ 276
1102
+ 00:26:48,940 --> 00:26:55,640
1103
+ ุงู†ู‚ุงุฑู† ูˆ ุทู„ุนู†ุง ู…ุนุงุฏู„ุฉ care fit ุจูŠู† ุงู„
1104
+
1105
+ 277
1106
+ 00:26:55,640 --> 00:27:04,080
1107
+ observed value ูˆุงู„ standard value ู„ุงุญุธูˆุง ู‡ู†ุง ุนู†ุฏูŠ
1108
+
1109
+ 278
1110
+ 00:27:04,080 --> 00:27:07,920
1111
+ ุงู„ minus point ุฎู…ุณ zero point ุฎู…ุณ ุณุชุฉ ุฎู…ุณุฉ ุงูŠุด ู‡ุฐูŠ
1112
+
1113
+ 279
1114
+ 00:27:07,920 --> 00:27:08,500
1115
+ ุชู…ุซู„
1116
+
1117
+ 280
1118
+ 00:27:11,150 --> 00:27:14,190
1119
+ physically ุตุญูŠุญ ุงู„ y intercept ุงู„ู…ูุฑูˆุถ ู‡ูˆ ูŠู†ุฒู„ ุนู„ู‰
1120
+
1121
+ 281
1122
+ 00:27:14,190 --> 00:27:18,050
1123
+ ุงู„ุณูุฑ ู„ูƒู† ู‡ูˆ ู…ุง ู†ุฒู„ุด ุนู„ู‰ ุงู„ุณูุฑ ู†ุฒู„ ุชุญุช ุงู„ุณูุฑ ุดูˆูŠุฉ
1124
+
1125
+ 282
1126
+ 00:27:18,050 --> 00:27:26,750
1127
+ ูŠุนู†ูŠ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ุงู„ standard ูŠูƒูˆู† ุฅุด ุฒูŠ ู‡ูŠูƒ ู‡ูŠูƒ ู‡ุฐุง
1128
+
1129
+ 283
1130
+ 00:27:26,750 --> 00:27:31,650
1131
+ ุงู„ perfect ู„ูƒู† ุงู„ุฅุด ู…ุด perfect ู„ุญุธุฉ ุงู„ slope ุฃูƒุชุฑ
1132
+
1133
+ 284
1134
+ 00:27:31,650 --> 00:27:39,830
1135
+ ู…ู† ูˆุงุญุฏ ู…ุนู†ุงุชู‡ ู‡ูŠูƒูˆู† ุฅุด ุฒูŠ ู‡ูŠูƒ ู‡ุฐุง
1136
+
1137
+ 285
1138
+ 00:27:41,470 --> 00:27:53,310
1139
+ ุงู„ู€ Ideal ู‡ุฐุง ุงูŠู‡ ุงู„ู€ Actual ููŠู† ุฏูŠ Offset ู‡ุฐุง
1140
+
1141
+ 286
1142
+ 00:27:53,310 --> 00:27:56,130
1143
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Zero ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ Intercept ูุนู„ุง ู‡ูˆ ุงู„ู€
1144
+
1145
+ 287
1146
+ 00:27:56,130 --> 00:28:03,510
1147
+ Zero Offset ู‡ุฐุง
1148
+
1149
+ 288
1150
+ 00:28:03,510 --> 00:28:07,710
1151
+ ุฏูŠ ุงู„ calibration ู‡ุฐุง ุงู„ู€ Zero Offsetูˆุงุถุญ ุฏุงูŠู…ุง
1152
+
1153
+ 289
1154
+ 00:28:07,710 --> 00:28:11,990
1155
+ ุจูŠุตูŠุฑ shifting ุจ .. ุจ .. ุจ .. ุจ .. ู‡ุฏ ุจูŠุณู…ูƒ ุงู„
1156
+
1157
+ 290
1158
+ 00:28:11,990 --> 00:28:19,750
1159
+ patient ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฏ ุงู„ zero opposite ุงู„ุงู†
1160
+
1161
+ 291
1162
+ 00:28:19,750 --> 00:28:28,790
1163
+ ู„ูˆ ุงุฌูŠ ุงุทุฑุญ ู‡ุฏูŠ ู…ู† ู‡ุฏูŠ ูˆูŠู‡ ุฑูŠุงู„ ุฎุฏู†ุง ู†ุณู…ูŠู‡ุง ูˆูŠู‡
1164
+
1165
+ 292
1166
+ 00:28:28,790 --> 00:28:29,150
1167
+ ุฑูŠุงู„
1168
+
1169
+ 293
1170
+ 00:28:43,390 --> 00:28:49,030
1171
+ delta y so
1172
+
1173
+ 294
1174
+ 00:28:49,030 --> 00:28:58,430
1175
+ y real minus y ideal ู‡ุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู‡ูŠ one
1176
+
1177
+ 295
1178
+ 00:28:58,430 --> 00:29:06,570
1179
+ point oh oh ุชู„ุงุช ุงุชู†ูŠู† x minus point oh ุฎู…ุณุฉ ุณุชุฉ
1180
+
1181
+ 296
1182
+ 00:29:06,570 --> 00:29:12,090
1183
+ ุฎู…ุณุฉ minus x ูŠุนู†ูŠ
1184
+
1185
+ 297
1186
+ 00:29:12,090 --> 00:29:12,710
1187
+ ู‡ูŠุณุงูˆูŠ
1188
+
1189
+ 298
1190
+ 00:29:18,870 --> 00:29:37,570
1191
+ ุงูˆ ุญุณุงุจ ู…ุจุงุดุฑุฉ ูŠุนู†ูŠ
1192
+
1193
+ 299
1194
+ 00:29:37,570 --> 00:29:41,590
1195
+ ู„ูˆ ุจุฏู‰ ุงุนู…ู„ adjustment ู„ูˆ ุจุฏู‰ ุงุนู…ู„ adjustmentุจุฏูŠ
1196
+
1197
+ 300
1198
+ 00:29:41,590 --> 00:29:51,970
1199
+ ุงูƒุชุจ ู‡ูŠ ุนู†ุฏ ุงู„ y ุฑูŠุงู„ ุจูŠุณุงูˆูŠ 1.0032x-.0565
1200
+
1201
+ 301
1202
+ 00:29:51,970 --> 00:30:01,590
1203
+ ูˆ ุงู„ y ุงูŠุฏูŠุงู„ ุจูŠุณุงูˆูŠ x ู…ู…ูƒู† ุงู†ุง ุงุนู…ู„ ุฒูŠ algorithm
1204
+
1205
+ 302
1206
+ 00:30:01,590 --> 00:30:06,740
1207
+ ูŠุนู†ูŠ ู‡ุฐุง ููŠ ูƒุฐุง ุทุฑูŠู‚ุฉุฅู† ูˆ ุฃู†ุง ุนุดุงู† ุฃุฎู„ูŠ ุงุนู…ู„
1208
+
1209
+ 303
1210
+ 00:30:06,740 --> 00:30:10,740
1211
+ calibration ู„ู„ุฌู‡ุงุฒ ูŠุทูŠู†ูŠ ู‚ุฑุงุกุงุช ุฃูƒุซุฑ ุฏู‚ุฉ ู…ู…ูƒู† ุฃุญูƒูŠ
1212
+
1213
+ 304
1214
+ 00:30:10,740 --> 00:30:23,880
1215
+ ุงู„ุชุงู„ูŠ ุถูŠู add ูˆุงุญุฏ point o ุฎู…ุณุฉ ุณุชุฉ ุฎู…ุณุฉ to y
1216
+
1217
+ 305
1218
+ 00:30:23,880 --> 00:30:29,540
1219
+ real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ
1220
+
1221
+ 306
1222
+ 00:30:29,540 --> 00:30:29,760
1223
+ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real
1224
+
1225
+ 307
1226
+ 00:30:29,760 --> 00:30:30,040
1227
+ ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y
1228
+
1229
+ 308
1230
+ 00:30:30,040 --> 00:30:31,220
1231
+ real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ
1232
+
1233
+ 309
1234
+ 00:30:31,220 --> 00:30:32,980
1235
+ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real
1236
+
1237
+ 310
1238
+ 00:30:32,980 --> 00:30:33,900
1239
+ ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y real ู…ุงู†ุนูƒ ุชุญูƒูŠ y
1240
+
1241
+ 311
1242
+ 00:30:33,900 --> 00:30:40,820
1243
+ real ู…ุงู†ุน1.0032xx
1244
+
1245
+ 312
1246
+ 00:30:40,820 --> 00:30:45,420
1247
+ ู…ุซู„ุง ุจุนุฏูŠู†
1248
+
1249
+ 313
1250
+ 00:30:45,420 --> 00:30:51,200
1251
+ ู…ุซู„ุง ู†ุญูƒูŠ ู„ู‡ divide y
1252
+
1253
+ 314
1254
+ 00:30:51,200 --> 00:30:59,840
1255
+ real prime by 1.0032 ูŠุตุจุญ y real w prime
1256
+
1257
+ 315
1258
+ 00:31:04,250 --> 00:31:10,090
1259
+ X ุทุจุนุง ู…ุด ู‡ุชุทู„ุน X ุณูŠุฆุฉ ูู…ู…ูƒู† ู‡ุฐู‡ ุทุฑูŠู‚ุฉ ุงู„
1260
+
1261
+ 316
1262
+ 00:31:10,090 --> 00:31:11,630
1263
+ calibration ุงุญูƒูŠ ุงู„ู„ู‡ ุงู†ุง ุจุฏูŠ ุงุนู…ู„ adjustment
1264
+
1265
+ 317
1266
+ 00:31:11,630 --> 00:31:17,630
1267
+ ู„ุฌู‡ุงุฒ ูŠูƒูˆู† ุฌู‡ุงุฒ ู‚ุงุจู„ ู„ุจุฑู…ุฌุฉ ุงุญูƒูŠู„ู‡ ู…ู† ูƒู„ ู‚ุฑุงุกุฉ ุงูˆู„
1268
+
1269
+ 318
1270
+ 00:31:17,630 --> 00:31:26,590
1271
+ ุงุด step one ุจุชุฎู„ุต ู…ู† ุงู„ุงุด ู…ู† ุงู„ zero offset ุถุบุทู„ู‡
1272
+
1273
+ 319
1274
+ 00:31:26,590 --> 00:31:33,180
1275
+ ู‡ุฐุง ุจุนุฏูŠู† ุงู„ slopeุจุฏูŠ ุงุฎู„ูŠ ูˆุงุญุฏ ุจู‚ุณู… ุนู„ูŠู‡ุง ุฏู‡ slow
1276
+
1277
+ 320
1278
+ 00:31:33,180 --> 00:31:39,660
1279
+ ุจุณ ูŠุฑูŠุงุด ูˆุงุญุฏ this is to calibrate to adjustุงู„
1280
+
1281
+ 321
1282
+ 00:31:39,660 --> 00:31:48,500
1283
+ device ุนุดุงู† ุงู‚ุชุฑุจ ู‚ุฑุงุกุชู‡ ู…ู† ุงู„ true value ุทุจุนุง ู…ุด
1284
+
1285
+ 322
1286
+ 00:31:48,500 --> 00:31:53,040
1287
+ ู‡ูŠุตู„ ุงู„ true value ุจุณ ู‡ูŠุตูŠุฑ ู‚ุฑูŠุจ ุฌุฏุง ู…ู† ุงู„ true
1288
+
1289
+ 323
1290
+ 00:31:53,040 --> 00:31:57,600
1291
+ value ู„ุฃู† ู‡ุฏ ู‡ูŠ calibration ูŠุนู†ูŠ ุงู†ุช ุงุชุฎุฐุช ุฎุทูˆุงุช
1292
+
1293
+ 324
1294
+ 00:31:57,600 --> 00:32:00,740
1295
+ ุญุณุงุจูŠุฉ ุงุชุฎุฐุช ุฎุทูˆุงุช ุญุณุงุจูŠุฉ ู„ูƒู† ููŠ ุงู„ุขุฎุฑ ุญุทูˆุง ุนู„ูŠ
1296
+
1297
+ 325
1298
+ 00:32:00,740 --> 00:32:07,540
1299
+ ูˆุฒู† ุฃูˆุฒู† ู‡ูˆ ู…ุด ู‡ูŠุชุจุน ู‡ุฏ 100% ู…ุน ุงู† ุงู†ุง ุงุนู…ู„ุช ุงู„
1300
+
1301
+ 326
1302
+ 00:32:07,540 --> 00:32:15,880
1303
+ calibrationุจุณ ู‡ู‚ู„ู„ ash ู„ุงุจุชุนุงุฏ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
1304
+
1305
+ 327
1306
+ 00:32:15,880 --> 00:32:33,720
1307
+ ุทูŠุจ
1308
+
1309
+ 328
1310
+ 00:32:49,480 --> 00:32:54,540
1311
+ ู…ุนู†ุงุชู‡ ุงู„ calibration uncertainุฉ
1312
+
1313
+ 329
1314
+ 00:32:54,540 --> 00:32:58,380
1315
+ ุงู„ุฎุทุฃ ููŠ ุงู„ู…ุนุงุฑุถ is another common source of bias
1316
+
1317
+ 330
1318
+ 00:32:58,380 --> 00:33:03,500
1319
+ uncertainุฉ ูˆุดูˆูู†ุง ูƒูŠู ุงู„ zero offset ู‡ูƒุฐุง ุงู„
1320
+
1321
+ 331
1322
+ 00:33:03,500 --> 00:33:05,880
1323
+ calibration requires a reference or standard
1324
+
1325
+ 332
1326
+ 00:33:05,880 --> 00:33:10,600
1327
+ against which system response is measured or is
1328
+
1329
+ 333
1330
+ 00:33:10,600 --> 00:33:17,870
1331
+ compared reference may be fixed or one valuedููŠ
1332
+
1333
+ 334
1334
+ 00:33:17,870 --> 00:33:20,590
1335
+ ุงู„ุญุงู„ุฉ ุงุญู†ุง ุนู…ู„ู†ุงู‡ุง fixed ูˆู„ุง variableุŸ ูƒู†ุช ุฃุบูŠุฑ
1336
+
1337
+ 335
1338
+ 00:33:20,590 --> 00:33:28,280
1339
+ ุงู„ุฃูˆุฒุงู† ู„ูƒู† ููŠ ุฃุญูŠุงู† ุชุงู†ูŠุฉ ูˆูƒุงู†ุช one valueุฒูŠ one
1340
+
1341
+ 336
1342
+ 00:33:28,280 --> 00:33:30,820
1343
+ value ููŠ ุญุงู„ุฉ ุงู„ temperature scaleุŒ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ
1344
+
1345
+ 337
1346
+ 00:33:30,820 --> 00:33:33,800
1347
+ ุงู„ reference ุนู†ุฏู†ุง ู…ู…ูƒู† ูŠูƒูˆู† ุฅูŠ๏ฟฝ๏ฟฝุŸ ุงู„ triple point
1348
+
1349
+ 338
1350
+ 00:33:33,800 --> 00:33:37,160
1351
+ ู„ู„ู…ูŠู‡ุŒ triple point ู„ู„ู…ูŠู‡ ู‡ูŠ ุงู„ู†ู‚ุทุฉ ุงู„ู„ูŠ ู…ู…ูƒู† ุชูƒูˆู†
1352
+
1353
+ 339
1354
+ 00:33:37,160 --> 00:33:41,520
1355
+ ุงู„ู…ูŠู‡ ููŠ ุฃุญุฏ ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุงุฆู„ ุฃูˆ ุงู„ุบุงุฒูŠุฉ ุฃูˆ
1356
+
1357
+ 340
1358
+ 00:33:41,520 --> 00:33:45,380
1359
+ ุงู„ุตู„ุจุฉ ุฃูˆ ุงู„ triple point ุฃูˆ ุงู„ melting point for
1360
+
1361
+ 341
1362
+ 00:33:45,380 --> 00:33:48,420
1363
+ other materials ุฒูŠ ุงู„ุฒู†ูƒ ูˆ ุงู„ุฃู„ู…ุงู†ูŠุง ูˆ ุงู„ุฏู‡ุจ ูˆ
1364
+
1365
+ 342
1366
+ 00:33:48,420 --> 00:33:48,920
1367
+ ุฎู„ุงูุง
1368
+
1369
+ 343
1370
+ 00:33:56,170 --> 00:34:00,630
1371
+ uncertainty of the standard should be considerably
1372
+
1373
+ 344
1374
+ 00:34:00,630 --> 00:34:03,550
1375
+ less than that of the system being calibrated ุงู†ุง
1376
+
1377
+ 345
1378
+ 00:34:03,550 --> 00:34:10,050
1379
+ ุจุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ ู…ุณุชุฎุฏู… ุฌู‡ุงุฒ ุฏู‚ูŠู‚ ุนุดุงู† ุนูŠุฑู‡ ุตุญ
1380
+
1381
+ 346
1382
+ 00:34:10,050 --> 00:34:15,330
1383
+ ู„ุงุฒู… ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงูˆ ุงู„ุฎุทุฃ ููŠ ุงู„ุฌู‡ุงุฒ ุงู„ู…ุนุงูŠุฑุฉ ุชูƒูˆู†
1384
+
1385
+ 347
1386
+ 00:34:15,330 --> 00:34:18,850
1387
+ ุงู‚ู„ ุจูƒุชูŠุฑ ู…ู† ุงู„ุฎุทุฃ ููŠ ุงู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุงู„ู„ูŠ ุจุฏู‡
1388
+
1389
+ 348
1390
+ 00:34:18,850 --> 00:34:24,380
1391
+ ุนูŠุฑู‡as a rule of thumb ูƒู‚ุงู†ูˆู† uncertainty of the
1392
+
1393
+ 349
1394
+ 00:34:24,380 --> 00:34:27,400
1395
+ standard device that will be used in calibrating
1396
+
1397
+ 350
1398
+ 00:34:27,400 --> 00:34:32,220
1399
+ our device should be no more than one tenth that
1400
+
1401
+ 351
1402
+ 00:34:32,220 --> 00:34:37,000
1403
+ of the system being considered ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุง ู…ูŠุฒุงู†
1404
+
1405
+ 352
1406
+ 00:34:37,000 --> 00:34:44,540
1407
+ ุจุฏูŠ ุฃุนูŠุฑู‡ ุงู„ uncertainty ููŠู‡ ู…ุซู„ุง ูˆุงุญุฏ ูู„ู…ูŠุฉ ุงู„ุฎุทุฃ
1408
+
1409
+ 353
1410
+ 00:34:44,540 --> 00:34:50,280
1411
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ุณุชุฎุฏู…ู‡ ููŠ ุงู„ู…ุนุงูŠุฑุฉู…ุด ู„ุงุฒู… ุชูƒูˆู† ุงูˆ
1412
+
1413
+ 354
1414
+ 00:34:50,280 --> 00:34:54,680
1415
+ ู„ุงุฒู… ุชูƒูˆู† ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงูˆ ุงู„ uncertainty ููŠู‡ ุงู‚ู„ ู…ู†
1416
+
1417
+ 355
1418
+ 00:34:54,680 --> 00:35:05,900
1419
+ point ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุนุดุงู† ุงุทู„ุน ู†ุชุงุฆุฌ ู…ุนุชุจุฑุฉ ู‡ุฐุง
1420
+
1421
+ 356
1422
+ 00:35:05,900 --> 00:35:13,980
1423
+ ุญูƒูŠู†ุงู‡ุง instrument manufacturers ุงู„ู…ุตู†ุนูŠู† ู„ู„ุฃุฌู‡ุฒุฉ
1424
+
1425
+ 357
1426
+ 00:35:13,980 --> 00:35:18,550
1427
+ ุงู„ู‚ูŠุงุณ ุนุงุฏุฉุจูŠุนุทูˆุง calibration data with their
1428
+
1429
+ 358
1430
+ 00:35:18,550 --> 00:35:23,550
1431
+ products ุงู„ู„ูŠ ู…ู…ูƒู† ุงุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ uncertainty
1432
+
1433
+ 359
1434
+ 00:35:23,550 --> 00:35:30,840
1435
+ ููŠ ุงู„ุฌู‡ุงุฒ ูŠุนู†ูŠ ุงุฐุง ุฎุดูˆุง ุนู„ู‰ ุงู„ netูˆุดูˆู ูˆุงุณู…ู‡
1436
+
1437
+ 360
1438
+ 00:35:30,840 --> 00:35:36,340
1439
+ digital multimeter ุงูˆ ุดูˆูู‡ caliber ุฎุดู‡ ุนู„ู‰ ุดุฑูƒุงุช
1440
+
1441
+ 361
1442
+ 00:35:36,340 --> 00:35:40,320
1443
+ ู…ุดู‡ูˆุฑุฉ ู…ุฏูˆุฑ ุจุฏูƒ ุชุดูƒู„ู‡ุง ุงู† ุฏู‡ ุดุฑูƒุฉ caliber ูˆุฏุฎู„ ุนู„ู‰
1444
+
1445
+ 362
1446
+ 00:35:40,320 --> 00:35:43,220
1447
+ ุงู„ูƒุชุงู„ูˆุฌูŠ ุนู„ู‰ ุงู„ data sheet ุจุชุงุนุชู‡ ู‡ูŠูƒูˆู† ู…ุนุทูŠู„ูƒ
1448
+
1449
+ 363
1450
+ 00:35:43,220 --> 00:35:46,440
1451
+ ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„ uncertain ู‡ูŠูƒูˆู† .. ู‡ูŠูƒูŠุฏ ู…ุนุทูŠู„ูƒ ุงู„ู„ูŠ
1452
+
1453
+ 364
1454
+ 00:35:46,440 --> 00:35:51,120
1455
+ ู‡ูŠ ุงู„ linearity ุงู„ zero offset ุงู„ .. ุงู„ .. ุงู„
1456
+
1457
+ 365
1458
+ 00:35:51,120 --> 00:35:57,430
1459
+ linearity ุงู„ zero offset ูˆ ุงู„ hysteresisูุงู„ู…ุนู„ูˆู…ุงุช
1460
+
1461
+ 366
1462
+ 00:35:57,430 --> 00:36:00,970
1463
+ ู‡ุฐู‡ ุจุชุณุงุนุฏู†ุง ููŠ ุชู‚ุฏูŠุฑ ุงู„ uncertainty ููŠ ุงู„ device
1464
+
1465
+ 367
1466
+ 00:36:00,970 --> 00:36:05,870
1467
+ ุงู„ู„ูŠ ุงู†ุง ุดุฑูŠู‡ ุทูŠุจ
1468
+
1469
+ 368
1470
+ 00:36:05,870 --> 00:36:12,210
1471
+ ู„ุงู† ุงู„ู…ูˆุถูˆุน ุงู„ุฌุฏูŠุฏ ู„ุงู† so far ุงุญู†ุง ูƒู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุงู„
1472
+
1473
+ 369
1474
+ 00:36:12,210 --> 00:36:17,330
1475
+ bias uncertainty ุงู„ bias uncertainty ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„
1476
+
1477
+ 370
1478
+ 00:36:17,330 --> 00:36:22,240
1479
+ precision uncertainty ุงู„ precisionุฃู†ุง ุจู‚ูŠุณ ูŠุฏูŠุด
1480
+
1481
+ 371
1482
+ 00:36:22,240 --> 00:36:25,800
1483
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจุงุฎุฏู‡ุง ู…ู† ุฌู‡ุงุฒ ู…ุนูŠู† ุนู† ุงู„ value
1484
+
1485
+ 372
1486
+ 00:36:25,800 --> 00:36:29,200
1487
+ ุงู„ุฑูƒุฒูŠ ุฃู†ุง ุฃุฎุฏุช ู…ุซู„ุง ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ุจุนุฏ ุฃู† ุฃุฎุฏุช ุงู„ู…ุงุฆุฉ
1488
+
1489
+ 373
1490
+ 00:36:29,200 --> 00:36:32,560
1491
+ ู‚ุฑุงุกุฉ ุฃุฎุฏุช ู„ู‡ู… ุงู„ average ุจุนุฏู‡ุง ุญุณุจุช ุงู„ standard
1492
+
1493
+ 374
1494
+ 00:36:32,560 --> 00:36:35,340
1495
+ deviation ุงู„ standard deviation from the mean
1496
+
1497
+ 375
1498
+ 00:36:35,340 --> 00:36:39,900
1499
+ ู…ุนู†ุงู‡ ุงู„ precision ุจูŠุนุทูŠู†ุง ุงู„ุงู‚ุชุฑุงุจ ุงูˆ ุงู„ุงุจุชุนุงุฏ ุนู†
1500
+
1501
+ 376
1502
+ 00:36:39,900 --> 00:36:44,220
1503
+ ุงู„ mean value ู…ุด ุงู„ true value ูŠุนู†ูŠ ุงู„ precision
1504
+
1505
+ 377
1506
+ 00:36:44,220 --> 00:36:51,370
1507
+ ุจุชู…ุซู„ ู…ุซู„ how how spread we have aroundุงู„ central
1508
+
1509
+ 378
1510
+ 00:36:51,370 --> 00:36:56,030
1511
+ value ุฅุฐุง ุงู„ main value ู…ุซู„ุง ูƒู„ ู…ุง .. ู…ุง ู‚ู„ ุงู„
1512
+
1513
+ 379
1514
+ 00:36:56,030 --> 00:37:00,650
1515
+ band ู…ุนู†ุงุชู‡ I have precise .. I have precise
1516
+
1517
+ 380
1518
+ 00:37:00,650 --> 00:37:05,630
1519
+ measurement ูู‰ ูุฑู‚ ู†ุญู†ุง ู†ุชูƒู„ู… ุจูŠู† ุงู„ precision ูˆ
1520
+
1521
+ 381
1522
+ 00:37:05,630 --> 00:37:09,150
1523
+ ุงู„ accuracy ุงู„ accuracy ู‡ู‰ ุงู„ูุฑู‚ ุจูŠู† ุงู„ true value
1524
+
1525
+ 382
1526
+ 00:37:09,150 --> 00:37:13,250
1527
+ ุฃูˆ ู†ุชู…ุซู„ how far .. how far our measurement from
1528
+
1529
+ 383
1530
+ 00:37:13,250 --> 00:37:17,510
1531
+ the true valueprecision how far is the measurement
1532
+
1533
+ 384
1534
+ 00:37:17,510 --> 00:37:20,350
1535
+ from a central mean value of the same device
1536
+
1537
+ 385
1538
+ 00:37:20,350 --> 00:37:30,910
1539
+ ูˆุญูƒูŠู†ุงู‡ุง ููŠ ุงู„ุณุงุจู‚ ุทูŠุจ
1540
+
1541
+ 386
1542
+ 00:37:30,910 --> 00:37:36,290
1543
+ when only one when only one two or three ุงุฐุง ุงู†ุง
1544
+
1545
+ 387
1546
+ 00:37:36,290 --> 00:37:38,770
1547
+ ุจุงุฎุฏ ู‚ุฑุงุกุฉ ุงูˆ ู‚ุฑุงุฆุชูŠู† ุงูˆ ุชู„ุช ู‚ุฑุงุฆุชูŠู† ู‡ุฐุง ุงู„ู‚ุฑุงุกุงุช
1548
+
1549
+ 388
1550
+ 00:37:38,770 --> 00:37:39,450
1551
+ ุตุบูŠุฑุฉ ุฌุฏุง
1552
+
1553
+ 389
1554
+ 00:37:45,030 --> 00:37:48,050
1555
+ the confidence in terrorists calculated can be
1556
+
1557
+ 390
1558
+ 00:37:48,050 --> 00:37:53,170
1559
+ quite large ุงุญู†ุง ุญูƒูŠู†ุง ูƒู„ ู…ุง ู†ุฒูˆุฏ ุงู„ confidence in
1560
+
1561
+ 391
1562
+ 00:37:53,170 --> 00:37:57,650
1563
+ terrorists ูˆ ุญู„ูŠู†ุงู‡ุง ุจู…ุซุงู„ ุจูŠูƒูˆู†
1564
+
1565
+ 392
1566
+ 00:37:57,650 --> 00:38:04,170
1567
+ ุนู†ุฏ ุงู„ .. ุงู„ .. ุงู„ uncertainty ุจุงู„ุฒูŠุฏ ูŠุนู†ูŠ ูˆุงุญุฏ
1568
+
1569
+ 393
1570
+ 00:38:04,170 --> 00:38:08,310
1571
+ ุจูŠุจูŠุน ุจู„ูˆูƒุงุช
1572
+
1573
+ 394
1574
+ 00:38:08,310 --> 00:38:14,430
1575
+ ุงูˆ ุจูŠุจูŠุน ุทุงูˆู„ุงุชุจุญูƒูŠู„ูƒ ุงู†ุง ุจุจูŠุน ุงู„ุทุงูˆู„ุฉ ู‡ุฐู‡ ุทูˆู„ู‡ุง
1576
+
1577
+ 395
1578
+ 00:38:14,430 --> 00:38:23,430
1579
+ ุงู„ุทุงูˆู„ุฉ ู…ูŠุช ุตู…ุชูŠ plus or minus ูˆุงุญุฏ ุตู…ุชูŠ ุชุณุนุฉ
1580
+
1581
+ 396
1582
+ 00:38:23,430 --> 00:38:29,990
1583
+ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ุชุฃูƒุฏ ู…ุชุฃู‚ู† ุฏุฑุฌุฉ ุชุฃู‚ู† ูˆุงุญุฏ ุชุงู†ูŠ
1584
+
1585
+ 397
1586
+ 00:38:29,990 --> 00:38:33,770
1587
+ ุทุจุนุง ุงุฐุง ู‡ูˆ ุจุฏู‡ ูŠุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุงู†ู‡ ุทุงูˆู„ุฉ ุทูˆู„ู‡ุง ู…ูŠุช
1588
+
1589
+ 398
1590
+ 00:38:33,770 --> 00:38:41,420
1591
+ ุตู…ุชูŠ ุฒูŠุงุฏ ุงูˆ ู†ุงู‚ุตpoint one ุตู†ุทุฉ ู‡ุชุชูˆู‚ุน ุฏุฑุฌุฉ ุชูŠู‚ู†
1592
+
1593
+ 399
1594
+ 00:38:41,420 --> 00:38:46,960
1595
+ ุฒูŠุฏูŠ ูˆู„ุง ุชู‚ู„ุŸ ู‡ุชู‚ู„ ุงูƒูŠุฏ ูุจู†ุงุทู‡ ุญุงูƒูŠ ู„ูŠู‡ุŸ ุจุฏุฑุฌุฉ
1596
+
1597
+ 400
1598
+ 00:38:46,960 --> 00:38:50,520
1599
+ ุชูŠู‚ู† ุณุจุนูŠู† ูุงู„ู…ูŠุฉุŒ ุจู†ุงุทู‡ ูƒู„ ู…ุง ุงู„ answer ุชู†ุชู‡ูŠ
1600
+
1601
+ 401
1602
+ 00:38:50,520 --> 00:38:56,880
1603
+ ุจุงู„ุฒูŠุฏ ูƒู„ ู…ุง ุงู„ range ุจุชุงุน ุงู„ุชูŠู‚ู† ุจูˆุณุน ููŠ ู‡ุฐู‡
1604
+
1605
+ 402
1606
+ 00:38:56,880 --> 00:39:02,070
1607
+ ุงู„ุญุงู„ุฉyou may determine a narrow range of the mean
1608
+
1609
+ 403
1610
+ 00:39:02,070 --> 00:39:04,350
1611
+ value by treating precision errors ู…ู…ูƒู† ุงุชุนุงู…ู„
1612
+
1613
+ 404
1614
+ 00:39:04,350 --> 00:39:06,390
1615
+ with precision errors ู„ุงู† ู…ุงููŠุด ุนู†ุฏูŠ ุจูŠุงู†ุงุช ูƒุงููŠุฉ
1616
+
1617
+ 405
1618
+ 00:39:06,390 --> 00:39:10,650
1619
+ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ู‰ ุงุชุนุงู…ู„ุช ู…ุนุงู‡ ููŠ ุงู„ bias errors
1620
+
1621
+ 406
1622
+ 00:39:10,650 --> 00:39:15,070
1623
+ ูŠุนู†ูŠ ุจุญุงูˆู„ ุงุนู…ู„ estimation less than the deviation
1624
+
1625
+ 407
1626
+ 00:39:15,070 --> 00:39:18,570
1627
+ based on my knowledge of the device under
1628
+
1629
+ 408
1630
+ 00:39:18,570 --> 00:39:20,870
1631
+ consideration ุงู†ุง ุนู†ุฏู‰ ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ู…ุงููŠุด ุนู†ุฏูŠ
1632
+
1633
+ 409
1634
+ 00:39:20,870 --> 00:39:26,550
1635
+ ุจูŠุงู†ุงุช ูƒุงููŠุฉ ู…ู…ูƒู† ุงุชุนุงู…ู„ ุงู‚ุฏุฑ ุงู‚ุฏุฑุงู„ .. ุงู„
1636
+
1637
+ 410
1638
+ 00:39:26,550 --> 00:39:31,770
1639
+ uncertainty ููŠ ุงู„ู‚ุฑุงุกุงุช ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ูŠุนู†ูŠ ุงุนุชู…ุงุฏ
1640
+
1641
+ 411
1642
+ 00:39:31,770 --> 00:39:33,910
1643
+ ุนู„ู‰ ุงู„ุฎุจุฑุฉ .. ุนู„ู‰ ุงู„ุฎุจุฑุฉ ุงุนุชู…ุงุฏ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุงู„
1644
+
1645
+ 412
1646
+ 00:39:33,910 --> 00:39:38,170
1647
+ calibration ุงุนุชู…ุงุฏ ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุงู„ู…ุตู†ุน ู…ู…ูƒู† ุงู‚ุฏุฑ
1648
+
1649
+ 413
1650
+ 00:39:38,170 --> 00:39:40,490
1651
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision error ุงูˆ precision
1652
+
1653
+ 414
1654
+ 00:39:40,490 --> 00:39:41,470
1655
+ uncertainty
1656
+
1657
+ 415
1658
+ 00:39:46,390 --> 00:39:52,070
1659
+ ุจุชุจุฏุฃ ุจู€ begin by estimating sigma sigma ุงู„ู„ูŠ ู‡ูŠ
1660
+
1661
+ 416
1662
+ 00:39:52,070 --> 00:39:55,550
1663
+ ุงู„ standard deviation ู„ู„ population by estimating
1664
+
1665
+ 417
1666
+ 00:39:55,550 --> 00:39:58,850
1667
+ sigma as a value that is based on our knowledge of
1668
+
1669
+ 418
1670
+ 00:39:58,850 --> 00:40:02,310
1671
+ the experimental system ุงู„ standard deviation ุฃู†ุง
1672
+
1673
+ 419
1674
+ 00:40:02,310 --> 00:40:05,850
1675
+ ุจู‚ุฏุฑู‡ุง ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชูŠ ููŠ ุงู„ system ู‡ุฐุง ูˆุงู„ู„ู‡ ุงู„
1676
+
1677
+ 420
1678
+ 00:40:05,850 --> 00:40:08,410
1679
+ standard deviation ููŠ ุงู„ system ู‡ุฐุง ุนุงุฏุฉ ุนุงุฏุฉ
1680
+
1681
+ 421
1682
+ 00:40:08,410 --> 00:40:14,870
1683
+ ุจูŠูƒูˆู† ู…ุซู„ุง plus or minus 2% plus or minus 5% thus
1684
+
1685
+ 422
1686
+ 00:40:16,130 --> 00:40:19,070
1687
+ we are assuming that sigma of the population is
1688
+
1689
+ 423
1690
+ 00:40:19,070 --> 00:40:19,310
1691
+ known
1692
+
1693
+ 424
1694
+ 00:40:26,170 --> 00:40:30,710
1695
+ ูŠุนู†ูŠ ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ูˆุงู„ู…ู‚ู„ูˆู ุงู„ thermocouples
1696
+
1697
+ 425
1698
+ 00:40:30,710 --> 00:40:34,410
1699
+ ุงู„ู…ุณุชุฎุฏู… ููŠ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ุงู„ standard deviation
1700
+
1701
+ 426
1702
+ 00:40:34,410 --> 00:40:40,210
1703
+ ุจุชุงุนู‡ุง plus or minus 1% ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ุงูˆ ุงู„ู…ู‚ู„ูˆู
1704
+
1705
+ 427
1706
+ 00:40:40,210 --> 00:40:44,230
1707
+ ุงู† ุงู„ standard deviation ููŠ ุงู„ caliber plus or
1708
+
1709
+ 428
1710
+ 00:40:44,230 --> 00:40:49,630
1711
+ minus 0.1% ุตุงุฑ ู…ู† ุงู„ู…ุนุฑูˆู ุงูˆ ุงู„ู…ู‚ู„ูˆู ุงู† ุงู„
1712
+
1713
+ 429
1714
+ 00:40:49,630 --> 00:40:53,250
1715
+ standard deviation ููŠ micrometer plus or minus 0
1716
+
1717
+ 430
1718
+ 00:40:53,250 --> 00:41:01,950
1719
+ .05%ูุตุงุฑ ุนู†ุฏู†ุง knowledge ูˆ ุจูŠุงู†ุงุช ูƒุงููŠุฉ ุงู†ู‡ ู†ู‚ุฏุฑ
1720
+
1721
+ 431
1722
+ 00:41:01,950 --> 00:41:07,830
1723
+ .. ู†ู‚ุฏุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standard deviations ุณูˆุงุก ุจู†ุงุก
1724
+
1725
+ 432
1726
+ 00:41:07,830 --> 00:41:10,670
1727
+ ุนู„ู‰ ุฎุจุฑุชู†ุง ุงู„ุณุงุจู‚ุฉ ุงูˆ ุจู†ุงุก ุนู„ู‰ ู…ุนู„ูˆู…ุงุช ุจูŠุนุทูŠู‡ุง
1728
+
1729
+ 433
1730
+ 00:41:10,670 --> 00:41:18,850
1731
+ ุงู…ูŠู† ุงู„ู…ุตู†ุน ุงู„ุชุงุน ุงู„ุฌู‡ุงุฒ ูˆุจุงู„ุชุงู„ูŠ ุงุญู†ุง ุจู†ุจุฏุฃ ุนู„ู‰
1732
+
1733
+ 434
1734
+ 00:41:18,850 --> 00:41:21,550
1735
+ ูุฑุถ ุงู†ู‡ู… ุนุงุฑููŠู† ุงู„ standard deviation ู„ู„
1736
+
1737
+ 435
1738
+ 00:41:21,550 --> 00:41:24,650
1739
+ population ุทุจุนุง ุงุฐุง ุงู„ุดุฑูƒุฉ ุจุชุตู†ุน in micrometers
1740
+
1741
+ 436
1742
+ 00:41:26,260 --> 00:41:30,080
1743
+ ุจุชุงุฎุฏ ุนุดุฑุงุช ุฃู„ู ู…ู† ุงู„ู‚ุฑุงุกุงุช ู…ุด ู‚ุฑุงุกุฉ ูˆุงู„ุง ุชู†ุชูŠู†
1744
+
1745
+ 437
1746
+ 00:41:30,080 --> 00:41:34,620
1747
+ ูˆุจุชุงุฎุฏู‡ุง ูŠุนู†ูŠ ุชุญุช ุธุฑูˆู ู…ุฎุชู„ูุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ูˆ ุจูŠู‚ุฏุฑ
1748
+
1749
+ 438
1750
+ 00:41:34,620 --> 00:41:41,600
1751
+ ูŠุนุทูŠู„ูƒ ุงู„ sigma ุจุชุงุนุฉ ุงู„ population ุงู„
1752
+
1753
+ 439
1754
+ 00:41:41,600 --> 00:41:46,200
1755
+ precision uncertainty can be estimated ู‡ุฐุง
1756
+
1757
+ 440
1758
+ 00:41:46,200 --> 00:41:51,160
1759
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุณุงุจู‚ุฉ ุญูƒูŠู†ุงู‡ุง Px ููŠ ุงู„ุณุงูˆูŠุฉ ุชู‚ุฑูŠุจุง zc
1760
+
1761
+ 441
1762
+ 00:41:51,160 --> 00:41:55,250
1763
+ ุนู„ู‰ ุงุชู†ูŠู† ููŠ sigma ุนู„ู‰ ุฌุฒุฑ ุชุฑุจูŠุฉ ุนู„ู‰ ุงู„ NูุงูƒุฑูŠู†
1764
+
1765
+ 442
1766
+ 00:41:55,250 --> 00:41:59,250
1767
+ ุญูƒูŠ ุงู†ุง ูƒุงู† ุนู†ุฏู†ุง ุงู„ samples ุนู†ุฏู†ุง small sample
1768
+
1769
+ 443
1770
+ 00:41:59,250 --> 00:42:03,790
1771
+ size ุงุฐุง ูุงูƒุฑูŠู† ูƒุงู† ุนุฏุฏ ุงู„ N ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ูˆุนู†ุฏูŠ
1772
+
1773
+ 444
1774
+ 00:42:03,790 --> 00:42:08,790
1775
+ large sample size ุงู„ N ุฃูƒุจุฑ ูˆูŠุณุงูˆูŠ ุชู„ุงุชูŠู† ููŠ ุญุงู„ุฉ
1776
+
1777
+ 445
1778
+ 00:42:08,790 --> 00:42:16,510
1779
+ ุงู„ large sample ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ T T T Alpha ูˆH ูˆ Nu
1780
+
1781
+ 446
1782
+ 00:42:16,510 --> 00:42:23,430
1783
+ ููŠ ุญุงู„ุฉู„ู„ู€ small sum ุงู„ู„ูŠ ูƒู†ุง ู†ุณุชุฎุฏู… ุงู„ Z .. Z ..
1784
+
1785
+ 447
1786
+ 00:42:23,430 --> 00:42:25,410
1787
+ C ูŠุนู†ูŠ ุงู„ confidence ู…ุซู„ุง ุงู„ C ุฎู…ุณุฉ ูˆ ุณู†ุชูŠู† ููŠ
1788
+
1789
+ 448
1790
+ 00:42:25,410 --> 00:42:31,270
1791
+ ุงู„ู…ูŠุฉ ุงุชู†ูŠู† ุณูŠุฌู…ุง ุนุดุงู† ุงู‚ูŠุต
1792
+
1793
+ 449
1794
+ 00:42:31,270 --> 00:42:34,470
1795
+ ุงู„ precision with a single reading ุงุญู†ุง ุญุงูƒูŠู†ุง
1796
+
1797
+ 450
1798
+ 00:42:34,470 --> 00:42:38,690
1799
+ ุนู†ู‡ุง ู‡ูŠ ุงู„ PX ุงู„ precision uncertainty
1800
+
1801
+ 451
1802
+ 00:42:41,850 --> 00:42:46,550
1803
+ ุจุณุงูˆูŠ zc ุนู„ู‰ ุงุชู†ูŠู† ููŠ ุงู„ sigma ุนู„ู‰ ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡ูŠุฉ
1804
+
1805
+ 452
1806
+ 00:42:46,550 --> 00:42:52,310
1807
+ ู„ู„ N ููŠ ุญุงู„ุฉ ุงู„ N ุจุณุงูˆูŠ ูˆุงุญุฏ ุจูŠุตูŠุฑ Px ุจุณุงูˆูŠ zc ุนู„ู‰
1808
+
1809
+ 453
1810
+ 00:42:52,310 --> 00:42:56,790
1811
+ ุงุชู†ูŠู† ููŠ ุงู„ sigma ุนู„ู‰ ุฌุฒุฑ ุงู„ ูˆุงุญุฏ ู‡ูˆ ูˆุงุญุฏ ููŠ
1812
+
1813
+ 454
1814
+ 00:42:56,790 --> 00:43:03,170
1815
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ููŠ ุญุงู„ุฉ ุงู„ confidence ูƒุงู† ุนู†ุฏูŠ ุฎู…ุณุฉ
1816
+
1817
+ 455
1818
+ 00:43:03,170 --> 00:43:09,100
1819
+ ุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉุงู„ู€ C ุจุณูŠุทุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ุนู†ุงุชู‡
1820
+
1821
+ 456
1822
+ 00:43:09,100 --> 00:43:13,420
1823
+ ุงู„ู€ Z point ุชุณุนุฉ ุฎู…ุณุฉ ุนู„ู‰ ุงุชู†ูŠู† ู…ู† ุงู„ุฌุฏุงูˆู„ ุงู„ู„ูŠ
1824
+
1825
+ 457
1826
+ 00:43:13,420 --> 00:43:18,240
1827
+ ูƒู†ุง ู†ุทู„ุน ูƒุงู… ุจูŠุทู„ุน ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ ู…ุนู†ุงุชู‡ ุงู„
1828
+
1829
+ 458
1830
+ 00:43:18,240 --> 00:43:22,960
1831
+ precision uncertainty ุจุณุงูˆูŠุฉ ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ
1832
+
1833
+ 459
1834
+ 00:43:22,960 --> 00:43:32,100
1835
+ sigma ุทูŠุจ
1836
+
1837
+ 460
1838
+ 00:43:37,650 --> 00:43:41,990
1839
+ the potential precision error underlying a single
1840
+
1841
+ 461
1842
+ 00:43:41,990 --> 00:43:45,210
1843
+ measurement ุฅุฐุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฃูˆ ู‚ูŠุงุณ ูˆุงุญุฏ
1844
+
1845
+ 462
1846
+ 00:43:45,210 --> 00:43:49,930
1847
+ ุงู„ potential precision error ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision
1848
+
1849
+ 463
1850
+ 00:43:49,930 --> 00:43:57,030
1851
+ error ุงู„ู…ุญุชู…ู„ ู„ู‚ุฑุงุกุฉ ู…ุนูŠู†ุฉูŠู…ูƒู† ุชู‚ุฏูŠุฑู‡ ุจู†ุงุก ุนู„ู‰
1852
+
1853
+ 464
1854
+ 00:43:57,030 --> 00:44:01,750
1855
+ ู…ุนุฑูุชู†ุง .. ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง how finally the answer
1856
+
1857
+ 465
1858
+ 00:44:01,750 --> 00:44:04,130
1859
+ will resolve ูŠุนู†ูŠ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง ู„ู„ resolution
1860
+
1861
+ 466
1862
+ 00:44:04,130 --> 00:44:07,990
1863
+ ูŠุนู†ูŠ ุงู†ุง ู…ุซู„ุง ุนู†ุฏูŠ caliberุŒ ุนู†ุฏูŠ ู…ุตุฏุฑุฉุŒ ุนู†ุฏูŠ
1864
+
1865
+ 467
1866
+ 00:44:07,990 --> 00:44:10,530
1867
+ micrometerุŒ ูˆุงุถุญ resolution ู…ุฎุชู„ูุŒ ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชูŠ
1868
+
1869
+ 468
1870
+ 00:44:10,530 --> 00:44:16,230
1871
+ ู„ู„ resolution ู…ู…ูƒู† ุงู†ุง ุงุณุชุทูŠุน ุงู‚ุฏุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ..
1872
+
1873
+ 469
1874
+ 00:44:16,230 --> 00:44:21,900
1875
+ ุงู„ .. ุงู„ uncertainty ุฃูˆ ..ูˆ ุจุฑุถู‡ ูŠุนู†ูŠ ูŠู…ูƒู† ุชู‚ุฏูŠุฑ
1876
+
1877
+ 470
1878
+ 00:44:21,900 --> 00:44:27,220
1879
+ ุงู„ precision uncertainty on how precisely one may
1880
+
1881
+ 471
1882
+ 00:44:27,220 --> 00:44:30,440
1883
+ repeat a reading how precisely one may repeat a
1884
+
1885
+ 472
1886
+ 00:44:30,440 --> 00:44:34,040
1887
+ reading ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุญูƒูŠ ุงู† ููŠ ุงู†ุง precise ูˆ ููŠ
1888
+
1889
+ 473
1890
+ 00:44:34,040 --> 00:44:38,720
1891
+ accurate precision how far we are from a central
1892
+
1893
+ 474
1894
+ 00:44:38,720 --> 00:44:42,340
1895
+ value ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠุงุฎุฏู‡ุง ุงู„ุฌู‡ุฉ ู‡ุฐู‡ ูŠุนู†ูŠ ุจูŠู…ุซู„
1896
+
1897
+ 475
1898
+ 00:44:42,340 --> 00:44:46,540
1899
+ ุงู„ spread ุงูˆ ุงู„ุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู…ุฌู…ูˆุน
1900
+
1901
+ 476
1902
+ 00:44:46,540 --> 00:44:51,430
1903
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ ุนุงุฏุฉ ู…ู…ูƒู† ูŠุงุทูŠู†ูŠู‡ุงุงู„ู…ุตู†ุน ู„ู„ุฌู‡ุงุฒ
1904
+
1905
+ 477
1906
+ 00:44:51,430 --> 00:44:55,090
1907
+ ุงู„ุฌู‡ุงุฒ ู…ู…ูƒู† ูŠุนุทูŠู†ุง ุงู„ standard deviation ุงู„ sigma
1908
+
1909
+ 478
1910
+ 00:44:55,090 --> 00:44:59,990
1911
+ ู„ู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ู‡ูˆ ุตู†ุงุนู‡ ุงู„ู„ูŠ ู‡ูˆ ู…ุจู†ูŠ ุนู„ู‰ population
1912
+
1913
+ 479
1914
+ 00:44:59,990 --> 00:45:05,570
1915
+ ุจุฑุถู‡ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ precision errors based on how
1916
+
1917
+ 480
1918
+ 00:45:05,570 --> 00:45:09,250
1919
+ much the test conditions fluctuates ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ
1920
+
1921
+ 481
1922
+ 00:45:09,250 --> 00:45:15,370
1923
+ ุฌู‡ุงุฒูƒุฑุงุกุฉ ุชุชุฃุซุฑ ุจุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ู‡ุตูŠุฑ ููŠ ุนู†ุฏูŠ
1924
+
1925
+ 482
1926
+ 00:45:15,370 --> 00:45:19,490
1927
+ fluctuation ุงุฐุง ุงู†ุง ุจูƒูˆู† ุนุงุฑู ูƒูŠู ุงู„ fluctuation
1928
+
1929
+ 483
1930
+ 00:45:19,490 --> 00:45:23,970
1931
+ ุชุชุฐุจุฐุจ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุญุฑุงุฑุฉ ุงูˆ ุจุงู„ุชุบูŠุฑ ู…ุน ุงู„ุงุฑุทูˆุจุฉ
1932
+
1933
+ 484
1934
+ 00:45:23,970 --> 00:45:27,670
1935
+ ุงุฐุง ุจูƒูˆู† ุนุงุฑู ูู…ู…ูƒู† ุงู‚ุฏุฑ ู‚ูŠู…ุฉ ุงู„ precision error
1936
+
1937
+ 485
1938
+ 00:45:30,220 --> 00:45:33,520
1939
+ often these estimates can be made in advance of
1940
+
1941
+ 486
1942
+ 00:45:33,520 --> 00:45:37,220
1943
+ performing the experiment ุนุงุฏุฉ ู‡ุฐู‡ ุงู„ุชู‚ุฏูŠุฑุงุช ูŠุชู…
1944
+
1945
+ 487
1946
+ 00:45:37,220 --> 00:45:44,540
1947
+ ุนู…ู„ู‡ุง ุงูˆ ุญุณุงุจู‡ุง ุงูˆ ุชู‚ุฏูŠุฑู‡ุง ุจุดูƒู„ ู…ู‚ุฏุฉ ุงูˆ ุจุดูƒู„ ู…ุณุจู‚
1948
+
1949
+ 488
1950
+ 00:45:44,540 --> 00:45:49,080
1951
+ ู‚ุจู„ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉ in order to gauge the expected
1952
+
1953
+ 489
1954
+ 00:45:49,080 --> 00:45:52,500
1955
+ answer to the interview ู‡ุฐุง ุทุจุนุง ุจู‚ุฏุฑู‡ุง ุจุดูƒู„ ู…ุณุจู‚
1956
+
1957
+ 490
1958
+ 00:45:52,500 --> 00:45:59,950
1959
+ ุนุดุงู† ุงูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ุชู‚ุฏูŠุฑุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุงุช ู„ู„ุฌู‡ุงุฒ
1960
+
1961
+ 491
1962
+ 00:45:59,950 --> 00:46:09,150
1963
+ ุชุญุช ุงู„ุฏุฑุงุณุฉ ุฃูˆ ุงู„ู‚ูŠุงุณ ู…ูˆุถูˆุน
1964
+
1965
+ 492
1966
+ 00:46:09,150 --> 00:46:15,810
1967
+ ุชุงู†ูŠ ุงู„ propagation of uncertainty ุนุงุฏุฉ ู…ุซู„ุง ุนุดุงู†
1968
+
1969
+ 493
1970
+ 00:46:15,810 --> 00:46:21,910
1971
+ ุงุญุณุจ ุงู„
1972
+
1973
+ 494
1974
+ 00:46:21,910 --> 00:46:29,590
1975
+ density ุฑูˆุญู‡ ุงุดูˆ ูŠุณุชูˆูŠmass ุนู„ู‰ volume ุนุดุงู† ุงู„
1976
+
1977
+ 495
1978
+ 00:46:29,590 --> 00:46:35,890
1979
+ density ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ ุงุฎุฏ ู‚ูŠุงุณูŠู† ู‚ุฑุงุกุฉ ู„ู„ mass
1980
+
1981
+ 496
1982
+ 00:46:35,890 --> 00:46:44,830
1983
+ ู‚ุฑุงุกุฉ ู„ู„ volume ู„ูƒู† ุงู†ุง ุงุณุชุฎุฏู… ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ mass
1984
+
1985
+ 497
1986
+ 00:46:44,830 --> 00:46:49,790
1987
+ ูˆ ุงุณุชุฎุฏู… ุฌู‡ุงุฒ ุชุงู†ูŠ ู„ู‚ูŠุงุณ ุงู„ volume ููŠ uncertainty
1988
+
1989
+ 498
1990
+ 00:46:49,790 --> 00:46:55,790
1991
+ ููŠ ุงู„ mass ูˆููŠ uncertaintyููŠ ุงู„ volume ุงู„
1992
+
1993
+ 499
1994
+ 00:46:55,790 --> 00:47:00,150
1995
+ uncertainty ููŠ ุงู„ mass ูˆ ุงู„ volume ุงู„ู…ูุฑูˆุถ ุชุนุทูŠู†ูŠ
1996
+
1997
+ 500
1998
+ 00:47:00,150 --> 00:47:05,090
1999
+ uncertainty ููŠ ุงู„ density ู„ุงู† ุงู†ุง ุงู„ density
2000
+
2001
+ 501
2002
+ 00:47:05,090 --> 00:47:11,270
2003
+ ุจุญุณุจู‡ุง ุญุณุงุจ ุงู„ mass ูŠุชู… ู‚ูŠุงุณู‡ ู‚ูŠุงุณู‡ ูˆ ุงู„ volume
2004
+
2005
+ 502
2006
+ 00:47:11,270 --> 00:47:14,950
2007
+ ูŠุชู… ู‚ูŠุงุณู‡ ูˆุจุงู„ุชุงู„ูŠ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ ุทุฑูŠู‚ุฉ ุงู†ู‡ ุงุญุณุจ
2008
+
2009
+ 503
2010
+ 00:47:15,860 --> 00:47:19,180
2011
+ ุงู„ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ density which is calculated
2012
+
2013
+ 504
2014
+ 00:47:19,180 --> 00:47:23,780
2015
+ based on the knowledge or estimation of ุงู„ู„ูŠ ู‡ูˆ ุงู„
2016
+
2017
+ 505
2018
+ 00:47:23,780 --> 00:47:33,500
2019
+ uncertainity ููŠ ุงู„ mass ูˆ ุงู„ volume ุนู„ู‰
2020
+
2021
+ 506
2022
+ 00:47:33,500 --> 00:47:37,340
2023
+ ูุฑุถ ุฃู† ุงู„ uncertainity ููŠ ุงู„ mass ุงู„ุฎุทุฃ ููŠ ุงู„ูƒุชู„ุฉ
2024
+
2025
+ 507
2026
+ 00:47:37,340 --> 00:47:42,000
2027
+ ูˆ ุงู„ุฎุทุฃ ููŠ ุงู„ volume independent ูŠุนู†ูŠ ุจูŠุดุชุบู„ูˆุง
2028
+
2029
+ 508
2030
+ 00:47:42,000 --> 00:47:49,010
2031
+ ุจุดูƒู„ ู…ุณุชู‚ู„ุงู„ู€ Standard Deviation ููŠ ุงู„ู€ Density ุฏูŠ
2032
+
2033
+ 509
2034
+ 00:47:49,010 --> 00:47:54,310
2035
+ Y ุจุงู„ุณุงูˆูŠุฉ
2036
+
2037
+ 510
2038
+ 00:47:54,310 --> 00:48:00,350
2039
+ ู…ุซู„ุง X1 ุนู„ู‰ X2 ุงู„ู€
2040
+
2041
+ 511
2042
+ 00:48:00,350 --> 00:48:03,730
2043
+ Standard Deviation ููŠ ุงู„ู€ Y ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑุงุฏ ุญุณุงุจู‡ุง
2044
+
2045
+ 512
2046
+ 00:48:04,450 --> 00:48:08,230
2047
+ ุจุณุชูˆู‰ ุฌุฏุฑ ุชุฑุจูŠุฉ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ูˆุงุญุฏ ุณูŠุฌู…ุง ูˆุงุญุฏ
2048
+
2049
+ 513
2050
+ 00:48:08,230 --> 00:48:11,150
2051
+ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงุชู†ูŠู† ุณูŠุฌู…ุง ุงุชู†ูŠู†
2052
+
2053
+ 514
2054
+ 00:48:11,150 --> 00:48:15,530
2055
+ ู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุฏูŠ ูˆ ุงูŠ ุจู‚ู‰ ุฏูŠ ุงูƒุณ ุงู† ุณูŠุฌู…ุง ุงู† ู„ูƒู„
2056
+
2057
+ 515
2058
+ 00:48:15,530 --> 00:48:20,610
2059
+ ุชุฑุจูŠุฉ ุงุญู†ุง
2060
+
2061
+ 516
2062
+ 00:48:20,610 --> 00:48:22,750
2063
+ ุญุงูƒูŠ ุงู†ุง ุง calculate ุงู„ result ุงู„ู„ูŠ ู‡ูŠ ุฒูŠ ุงู„
2064
+
2065
+ 517
2066
+ 00:48:22,750 --> 00:48:26,680
2067
+ density yis a function of several independent
2068
+
2069
+ 518
2070
+ 00:48:26,680 --> 00:48:32,440
2071
+ measured variables x1, x2, x3 ู„ุญุฏ xn ูŠุนู†ูŠ ุงู„ุญุงู„ุฉ
2072
+
2073
+ 519
2074
+ 00:48:32,440 --> 00:48:36,820
2075
+ ุฏูŠ ุงู„ density is a function of mass and volume ููŠ
2076
+
2077
+ 520
2078
+ 00:48:36,820 --> 00:48:39,600
2079
+ ุญุงู„ุงุช ุชุงู†ูŠุฉ some other variable ู‡ูŠูƒูˆู† function of
2080
+
2081
+ 521
2082
+ 00:48:39,600 --> 00:48:43,660
2083
+ more than two variablesEach measured value has
2084
+
2085
+ 522
2086
+ 00:48:43,660 --> 00:48:48,760
2087
+ some uncertainty ูŠุนู†ูŠ X1 ูˆ X2 ูˆ X3 ูˆ X4 ูˆ ู„ุญุฏ XN
2088
+
2089
+ 523
2090
+ 00:48:48,760 --> 00:48:55,440
2091
+ ููŠู‡ุง ู†ุณุจุฉ ุฎุทุฃ U1 U2 UN ุฅุฐุง ุจุนู…ู„ Taylor expansion
2092
+
2093
+ 524
2094
+ 00:48:55,440 --> 00:49:01,920
2095
+ ุทุจุนุง ุฅุฐุง ูƒุงู†ุช ุงู„ uncertainty ุตุบูŠุฑุฉ ูƒุชูŠุฑ ู„ู…ุง ุฃุฑุจุนู‡ุง
2096
+
2097
+ 525
2098
+ 00:49:01,920 --> 00:49:06,840
2099
+ ุฃูˆ ุฃูƒุนุจู‡ุง ู…ุซู„ุง ุงู„ point O1 ู„ู…ุง ุฃุฑุจุนู‡ุง ุจูŠุตูŠุฑ ูˆุงุญุฏ
2100
+
2101
+ 526
2102
+ 00:49:06,840 --> 00:49:12,930
2103
+ ู…ู† ุนุดุฑ ุชู„ุงูู„ุฃู†ูŠ ูƒุนูŠุจุฉ ุจุตูŠุฑ ูˆุงุญุฏ ู…ู† ู…ู„ูŠูˆู† ูˆุงุญุฏ ู…ู†
2104
+
2105
+ 527
2106
+ 00:49:12,930 --> 00:49:17,270
2107
+ ู…ู„ูŠูˆู† ูุงู†ุง I could expand ุงู„ function y ุจ x ูˆุงุญุฏ
2108
+
2109
+ 528
2110
+ 00:49:17,270 --> 00:49:20,830
2111
+ ุฒูŠ d ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู† ุฒูŠ d ุงุชู†ูŠู† ูˆ xn ุฒูŠ yn using
2112
+
2113
+ 529
2114
+ 00:49:20,830 --> 00:49:25,150
2115
+ taylor expansion ุจูŠุนุทูŠู†ูŠ y is a function of x ูˆุงุญุฏ
2116
+
2117
+ 530
2118
+ 00:49:25,150 --> 00:49:28,950
2119
+ ูˆ x ุงุชู†ูŠู† ูˆ xn ุฒูŠ dy by dx ูˆุงุญุฏ u ูˆุงุญุฏ ุฒูŠ dy by dx
2120
+
2121
+ 531
2122
+ 00:49:28,950 --> 00:49:34,110
2123
+ ุงุชู†ูŠู† u ุงุชู†ูŠู† ุฒูŠ dy by dxn un ู‡ุฐูŠ ุงู„ู„ูŠ ู‡ูŠ first
2124
+
2125
+ 532
2126
+ 00:49:34,110 --> 00:49:39,390
2127
+ order ููˆู‚ ุงู„ termsููŠ second orderุŒ third orderุŒ
2128
+
2129
+ 533
2130
+ 00:49:39,390 --> 00:49:43,750
2131
+ fourth order ูŠุนู†ูŠ ู‡ุฐู‡ ุจุฏู„ู‡ุง expansion to infinite
2132
+
2133
+ 534
2134
+ 00:49:43,750 --> 00:49:48,110
2135
+ number of tiers ุงู„ุชูŠุฑุฒ ุงู„ุฃูƒ .. ุฃูƒ .. ุงู„ุฏุฑุฌุงุช ุฃุนู„ู‰
2136
+
2137
+ 535
2138
+ 00:49:48,110 --> 00:49:56,100
2139
+ ู…ู† ูˆุงุญุฏ ู„ู…ุง ุชุชุฑุจุนุฃูˆ ุชุชูƒุนุจ ุฃูˆ ุชุตุจุญ ุฃุฑุจุน ุฃูˆ ุฎู…ุณ
2140
+
2141
+ 536
2142
+ 00:49:56,100 --> 00:49:59,440
2143
+ ุจูŠุตุจุญ very very small ูุจุชู‚ุฑูŠุจ ุจุญูƒูŠ ุงู† ุงู„ function
2144
+
2145
+ 537
2146
+ 00:49:59,440 --> 00:50:03,580
2147
+ is given by this equation in this case ุจูŠูƒูˆู† ุงู„
2148
+
2149
+ 538
2150
+ 00:50:03,580 --> 00:50:07,720
2151
+ total uncertainty ููŠ ุงู„ y which is a function of
2152
+
2153
+ 539
2154
+ 00:50:07,720 --> 00:50:12,400
2155
+ x1, x2 ูˆ xn ุจูŠุณุชุบู„ ู…ูˆุงุทุฑ ุงู„ู„ูŠ ู„ูƒู‡ุง D y ุจุฏูŠ x1, D y
2156
+
2157
+ 540
2158
+ 00:50:12,400 --> 00:50:13,980
2159
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y
2160
+
2161
+ 541
2162
+ 00:50:13,980 --> 00:50:15,180
2163
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y
2164
+
2165
+ 542
2166
+ 00:50:15,180 --> 00:50:21,450
2167
+ ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2, D y ุจุฏูŠ x2ุงู†ุชูˆุง
2168
+
2169
+ 543
2170
+ 00:50:21,450 --> 00:50:25,690
2171
+ ุฎุฏุชูˆุง .. ุฏุฑุณุชูˆุง calculus ุชู„ุงุชุฉุŸ ุงุฎุฏุชูˆุง ุงู„ tailor
2172
+
2173
+ 544
2174
+ 00:50:25,690 --> 00:50:30,310
2175
+ expansionุŸ ููŠ calculus D ุงุฎุฏุชูˆุง ุงู„ .. ุงุฎุฏุชูˆุง ุงู„
2176
+
2177
+ 545
2178
+ 00:50:30,310 --> 00:50:34,590
2179
+ expansions ุงู† ุงูŠ function ู…ู…ูƒู† ุชุนุชุจุฑ ุนุจุงุฑุฉ ุนู†
2180
+
2181
+ 546
2182
+ 00:50:34,590 --> 00:50:38,470
2183
+ summation of .. ุงูˆ some summation of some
2184
+
2185
+ 547
2186
+ 00:50:38,470 --> 00:50:40,630
2187
+ functions ุงู„ู„ูŠ ู‡ูŠ tailor expansion
2188
+
2189
+ 548
2190
+ 00:50:51,480 --> 00:50:56,860
2191
+ ุฎู†ุดูˆู ู…ุซุงู„ suppose that y has the 4 ุนู†ุฏูŠ some
2192
+
2193
+ 549
2194
+ 00:50:56,860 --> 00:51:03,300
2195
+ variable y ุจูŠุณุชูˆู‰
2196
+
2197
+ 550
2198
+ 00:51:03,300 --> 00:51:10,660
2199
+ a x ูˆุงุญุฏ ุฒุงุฆุฏ b x ุงุชู†ูŠู† and that the answer ุชู†ุชุธุฑ
2200
+
2201
+ 551
2202
+ 00:51:10,660 --> 00:51:16,010
2203
+ ุงู„ุงู† y is a function of x ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู†ูˆ ุงู„
2204
+
2205
+ 552
2206
+ 00:51:16,010 --> 00:51:22,230
2207
+ answer ุชู†ุช ููŠ x1 ูˆ x2 ู…ุนุฑูˆูุฉ ุงู†ุง ุงู„ุญู‚ูŠู‚ุณ ู‡ูˆ ุงูŠุดุŸ
2208
+
2209
+ 553
2210
+ 00:51:22,230 --> 00:51:29,330
2211
+ x1 ูˆ x2 ูˆ ู…ู†ู‡ ุงุญุณุจ ุงูŠุดุŸ y ูˆ ุงู„ answer ุชู†ุช ููŠ x1 ูˆ
2212
+
2213
+ 554
2214
+ 00:51:29,330 --> 00:51:33,770
2215
+ x2 ู…ุนุฑูˆูุฉ ุงูŠุด ุงู„ answer ุชู†ุช ููŠ ุงู„ yุŸ ุงู„ answer ุชู†ุช
2216
+
2217
+ 555
2218
+ 00:51:33,770 --> 00:51:40,450
2219
+ ููŠ ุงู„ y ู…ู† ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู‡ุชูƒูˆู† uy ุณูˆุงุก ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡
2220
+
2221
+ 556
2222
+ 00:51:40,450 --> 00:51:55,560
2223
+ ู„ dyby dx1 u1 ุงู„ูƒู„ ุชุฑุจูŠุน z dy by dx2 u2 ุงู„ูƒู„ ุชุฑุจูŠุน
2224
+
2225
+ 557
2226
+ 00:51:56,220 --> 00:52:04,100
2227
+ ู…ุนู†ุงุชู‡ ู„ุงุฒู… ุงุญุณุจ dy by dx ูˆุงุญุฏ ุดูˆ ูŠุณุงูˆูŠ a ูˆ dy by
2228
+
2229
+ 558
2230
+ 00:52:04,100 --> 00:52:09,500
2231
+ dx ุงุชู†ูŠู† ุจูŠุณุงูˆูŠ b ู…ุนู†ุงุชู‡ ุงู„ answer ุชู†ุชู‡ูŠ ููŠ ุงู„ y
2232
+
2233
+ 559
2234
+ 00:52:09,500 --> 00:52:17,580
2235
+ ู‡ุชูƒูˆู† ุฌุฒูŠุฑ ุชุฑุจูŠุนูŠ ู„ a u ูˆุงุญุฏ ุชุฑุจูŠุน ุฒูŠ b u ุงุชู†ูŠู†
2236
+
2237
+ 560
2238
+ 00:52:17,580 --> 00:52:21,720
2239
+ ุชุฑุจูŠุน ุนู† ุงู„ a ูˆ ุงู„ b constants ู…ุนุฑูˆููŠู†ูˆ ุงู„
2240
+
2241
+ 561
2242
+ 00:52:21,720 --> 00:52:25,020
2243
+ uncertainity ููŠ X1 ู…ุนุฑูˆูุฉ ูˆ ุงู„ uncertainity ููŠ X2
2244
+
2245
+ 562
2246
+ 00:52:25,020 --> 00:52:31,860
2247
+ ู…ุนุฑูˆูุฉ ู…ู‚ุฏุฑ ุงุญุตู„ uncertainity ููŠ ุงู„ Y ู…ุซุงู„
2248
+
2249
+ 563
2250
+ 00:52:31,860 --> 00:52:36,040
2251
+ ุชุงู†ูŠ suppose
2252
+
2253
+ 564
2254
+ 00:52:36,040 --> 00:52:41,700
2255
+ that Y has the form Y ู…ูˆุทุน ุจุงู„ุนู„ุงู‚ุฉ ู‡ุฐู‡ A X1 ุฃุณ M
2256
+
2257
+ 565
2258
+ 00:52:41,700 --> 00:52:48,540
2259
+ X2 ุฃุณ N ุนู„ู‰ X3 ุฃุณ K ูˆ ุงู„ uncertainity ููŠ X1 ูˆ X2 ูˆ
2260
+
2261
+ 566
2262
+ 00:52:48,540 --> 00:52:55,390
2263
+ X3ู…ุนุฑูˆูุฉ ูˆ ุงู„ a ูˆ ุงู„ m ูˆ ุงู„ n ูˆ ุงู„ k constants ุจุฏูŠ
2264
+
2265
+ 567
2266
+ 00:52:55,390 --> 00:53:01,510
2267
+ ุฃุญุณุจ ุงู„ uncertainty ููŠ ุงู„ y ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ุฏูŠ ู‡ูŠ ู‡ุฐู‡
2268
+
2269
+ 568
2270
+ 00:53:01,510 --> 00:53:05,790
2271
+ ุงู„ู…ุนุงุฏู„ุฉ and ุงู„ uncertainty ุฃู†ุฏูŠ ู‡ู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ x
2272
+
2273
+ 569
2274
+ 00:53:05,790 --> 00:53:07,610
2275
+ ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู† ูˆ x ุชู„ุงุชู‡ ูŠุนู†ูŠ ุฃู†ุชูŠ ุนู†ุฏูŠ ุชู„ุงุชุฉ
2276
+
2277
+ 570
2278
+ 00:53:07,610 --> 00:53:19,680
2279
+ terms ู‡ุญุณุจ dy ู‡ุญุณุจ dy by dx ูˆุงุญุฏ ูˆ dy by dx ุงุชู†ูŠู†ูˆ
2280
+
2281
+ 571
2282
+ 00:53:19,680 --> 00:53:24,100
2283
+ dy ุจู‚ู‰ dx ุชู„ุงุชุฉ ูˆ ุงู„ uncertain ููŠ x ูˆุงุญุฏ ู…ุนุฑูˆูุฉ ูˆ
2284
+
2285
+ 572
2286
+ 00:53:24,100 --> 00:53:26,540
2287
+ ุงู„ uncertain ููŠ x ุงุชู†ูŠู† ู…ุนุฑูˆูุฉ ูˆ ุงู„ uncertain ููŠ x
2288
+
2289
+ 573
2290
+ 00:53:26,540 --> 00:53:31,360
2291
+ ุชู„ุงุชุฉ ู…ุนุฑูˆูุฉ ูˆ ุจู‚ุนุฏ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ
2292
+
2293
+ 574
2294
+ 00:53:31,360 --> 00:53:39,120
2295
+ ู‡ูŠ ุจุญุซ ู…ู†ู‡ุง ุฅูŠุด ุงู„ ui ุทุจุนุง ุงู„ู…ูุชุฑุถ ุงู„ m ูˆ ุงู„ n ูˆ
2296
+
2297
+ 575
2298
+ 00:53:39,120 --> 00:53:44,760
2299
+ ุงู„ k ุชูƒูˆู† ู…ุนุฑูˆูุฉ ูˆ ุงู„ u ูˆุงุญุฏ ู…ุนุฑูˆูุฉ ู…ู†ู‡ุง for some
2300
+
2301
+ 576
2302
+ 00:53:44,760 --> 00:53:49,900
2303
+ value x ูˆุงุญุฏ x ุงุชู†ูŠู† ูˆ x ุชู„ุงุชุฉI calculate ูŠุนู†ูŠ
2304
+
2305
+ 577
2306
+ 00:53:49,900 --> 00:53:52,820
2307
+ ุงู„ู„ูŠ ุจุตูŠุฑ ุงู†ุง ุจูƒูˆู† ุนู†ุฏูŠ ุฌุฏูˆู„ ุฒูŠ ู‡ูŠูƒ ุนู†ุฏูŠ ุฌุฏูˆู„ X
2308
+
2309
+ 578
2310
+ 00:53:52,820 --> 00:54:00,580
2311
+ ูˆุงุญุฏ ูˆ X ุงุชู†ูŠู† ูˆ X ุชู„ุงุชุฉ ูˆู…ุนุทู‰
2312
+
2313
+ 579
2314
+ 00:54:00,580 --> 00:54:09,840
2315
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ U ูˆุงุญุฏ ูˆ U ุงุชู†ูŠู† ูˆ U ุชู„ุงุชุฉ ูˆ given
2316
+
2317
+ 580
2318
+ 00:54:12,580 --> 00:54:23,560
2319
+ A ูˆ M ูˆ N ู…ู…ูƒู† ุงุญุณุจ H ุงู„ U ูˆ Y ู„ูƒู„ ู‚ุฑุงุกุฉ ุงูˆ ูˆุถุน
2320
+
2321
+ 581
2322
+ 00:54:23,560 --> 00:54:28,100
2323
+ ู…ู‚ูŠู… X ูˆุงุญุฏ X ุงุชู†ูŠู† X ุชู„ุงุชุฉ U ูˆุงุญุฏ U ุงุชู†ูŠู† U ุชู„ุงุชุฉ
2324
+
2325
+ 582
2326
+ 00:54:29,770 --> 00:54:35,850
2327
+ ู„ูƒู† ูƒู…ุงู† ุฎู„ุตู†ุง ุงู„ู…ุญุงุถุฑุฉุŒ ุงู„ .. ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠ ุงู‚ุฑุฃูˆุง
2328
+
2329
+ 583
2330
+ 00:54:35,850 --> 00:54:41,650
2331
+ ุงู„ exam ุงู„ุฎู…ุณุชุงุด ููŠ ุงู„ูƒุชุงุจ ูˆ .. ูˆ two sections
2332
+
2333
+ 584
2334
+ 00:54:41,650 --> 00:54:47,090
2335
+ ูˆุฑุงู‡ exam ุงู„ุฎู…ุณุชุงุด ูˆ two sections ูˆุฑุงู‡ ุงุนุทูŠูƒ
2336
+
2337
+ 585
2338
+ 00:54:47,090 --> 00:54:47,310
2339
+ ุงู„ุนุงููŠุฉ
2340
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/A0IHWUvs2Dw.srt ADDED
@@ -0,0 +1,1437 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,600 --> 00:00:07,940
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆ
4
+
5
+ 2
6
+ 00:00:07,940 --> 00:00:10,780
7
+ ุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุจุฑุถู‡ ููŠ ู†ูุณ ุงู„ู€ chapter ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:10,780 --> 00:00:16,880
11
+ ุชู‚ูŠูŠู… ูˆุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑูŠุจูŠุฉ ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู†
12
+
13
+ 4
14
+ 00:00:16,880 --> 00:00:21,640
15
+ presentation of experimental data ุฃูˆู„ ุดูŠุก ู‡ู†ุญูƒูŠ ุนู†
16
+
17
+ 5
18
+ 00:00:21,640 --> 00:00:24,160
19
+ general rules for making graphs ุทุจุนู‹ุง ุงู„ู€ graphs
20
+
21
+ 6
22
+ 00:00:24,160 --> 00:00:33,740
23
+ ุจุดูƒู„ ุนุงู… ุจุชุนุทูŠ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ุจุดูƒู„ ู…ุจุณุท ูˆ ุดูƒู„ ุณุฑูŠุน
24
+
25
+ 7
26
+ 00:00:34,830 --> 00:00:38,010
27
+ ู…ู…ูƒู† ุฃูŽุชูŽูˆูŽู‚ู‘ูŽุน ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€ independent variable ูˆ
28
+
29
+ 8
30
+ 00:00:38,010 --> 00:00:40,270
31
+ dependent variable ุจู†ุงุก ุนู„ู‰ graph ุฃู† ู…ุซู„ู‹ุง ู‡ู„
32
+
33
+ 9
34
+ 00:00:40,270 --> 00:00:46,350
35
+ ุนู„ุงู‚ุฉ ู…ุซู„ู‹ุง ุนู„ุงู‚ุฉ ุทุฑุฏูŠุฉ ุชุฒุงูŠุฏูŠุฉ ุฃูˆ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
36
+
37
+ 10
38
+ 00:00:46,350 --> 00:00:54,160
39
+ ุจุงู„ุฒูŠุงุฏุฉ X ุจุงู„ู‚ู„ Y ุฃูˆ ู‡ู„ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูˆู„ุง ุบูŠุฑ ุฎุทูŠุฉุŒ
40
+
41
+ 11
42
+ 00:00:54,160 --> 00:00:57,280
43
+ ูˆุฅุฐุง ูƒุงู†ุช ุบูŠุฑ ุฎุทูŠุฉุŒ ู‡ุง ู‡ูŠ... ู‡ูŠ logarithmic ูˆู„ุง
44
+
45
+ 12
46
+ 00:00:57,280 --> 00:01:02,480
47
+ exponential ูˆู„ุง... ูˆู„ุง polynomial ูˆู„ุง sinusoid ู…ู†
48
+
49
+ 13
50
+ 00:01:02,480 --> 00:01:08,420
51
+ ุดูƒู„ ุงู„ู€ graph ุจุฃุฎุฐ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ูˆุจุฃุนุทูŠ ุชู‚ุฏูŠุฑ ู„ู†ูˆุน
52
+
53
+ 14
54
+ 00:01:08,420 --> 00:01:12,040
55
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€ two variables X and YุŒ ูˆููŠ ู†ูุณ
56
+
57
+ 15
58
+ 00:01:12,040 --> 00:01:15,780
59
+ ุงู„ูˆู‚ุช ุจุฃุณุชุฎุฑุฌ ู…ุนู„ูˆู…ุงุช ุฃุณู‡ู„ ูˆุฃุณุฑุน ู„ู…ุง ุฃุทู„ุน ุฌุฏูˆู„
60
+
61
+ 16
62
+ 00:01:15,780 --> 00:01:23,410
63
+ ุฃุฑู‚ุงู… ูƒุชูŠุฑุŒ ุตุนุจ ุฃุณุชูˆุนุจู‡ุงุŒ ุงู„ู€ graph ุจูŠุนุทูŠู†ุง ูู‡ู… ุฏู‚ูŠู‚
64
+
65
+ 17
66
+ 00:01:23,410 --> 00:01:29,490
67
+ ูˆุณุฑูŠุน ูˆุจูŠุนุทูŠู†ุง ุงู„ู€ trend ุจุชุงุน ุงู„ุชุบูŠุฑ... ุงู„ู€ trend
68
+
69
+ 18
70
+ 00:01:29,490 --> 00:01:33,190
71
+ ุจุชุงุน ุงู„ุชุบูŠุฑุŒ ุนุดุงู† ุฐู„ูƒ ุฃู†ุง ุฃู„ุฌุฃ ู„ู„ู€ graphingุŒ ุงู„ู„ูŠ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:33,190 --> 00:01:37,850
75
+ ููŠู‡ general rules for making graphsุŒ ุฃูˆู„ู‹ุง ุงู„ู€
76
+
77
+ 20
78
+ 00:01:37,850 --> 00:01:40,630
79
+ independent variableุŒ ุงู„ู…ุชุบูŠุฑ ุงู„ู…ุณุชู‚ู„ุŒ ุจูŠุฌูŠ ุนู„ู‰ ุงู„ู€ x
80
+
81
+ 21
82
+ 00:01:40,630 --> 00:01:46,930
83
+ axisุŒ ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ... ุฃู†ุง ุจุญุซ ู…ุซู„ู‹ุง ุณุฑุนุฉ
84
+
85
+ 22
86
+ 00:01:46,930 --> 00:01:54,430
87
+ ู…ุน ุฒู…ู†ุŒ ุงู„ู€ independent variable ู‡ูˆ ุฅูŠุดุŸ ุงู„ู€ TุŒ ู„ุงุฒู…
88
+
89
+ 23
90
+ 00:01:54,430 --> 00:02:03,230
91
+ ุฃูŽุญูุท ุงู„ูˆุญุฏุงุช secondุŒ ูˆุณุงุนุฉ ุงู„ุณุฑุนุฉ V meter per
92
+
93
+ 24
94
+ 00:02:03,230 --> 00:02:07,110
95
+ secondุŒ ุทุจุนู‹ุง
96
+
97
+ 25
98
+ 00:02:07,110 --> 00:02:09,510
99
+ ุงู„ู€ label units in each axisุŒ ู‡ูŠุญุทูŠุชูŠ ู†ูุณูŠ in secondุŒ
100
+
101
+ 26
102
+ 00:02:09,510 --> 00:02:12,930
103
+ ูŠุนู†ูŠ ุฅูŠุดุŸ meter per second
104
+
105
+ 27
106
+ 00:02:16,600 --> 00:02:24,800
107
+ ู„ุฃู† ุนู†ุฏูŠ ู‡ุฐู‡ ุฎุท ู‚ุฑุงุกุงุชุŒ ู„ุฃู†
108
+
109
+ 28
110
+ 00:02:24,800 --> 00:02:35,260
111
+ ุจุณุชุนู…ู„ curving ุฃูˆ ุชูˆุตูŠู„ุŒ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ู€ line smoothุŒ ูˆ
112
+
113
+ 29
114
+ 00:02:35,260 --> 00:02:38,300
115
+ solidุŒ ู…ุงูŠูƒูˆู†ุด ู…ุซู„ู‹ุง ุฎุดู† ูƒุชูŠุฑุŒ ูŠุบุทูŠ ุงู„ุจูŠุงู†ุงุชุŒ ู„ุงุฒู…
116
+
117
+ 30
118
+ 00:02:38,300 --> 00:02:40,240
119
+ ุงู„ุจูŠุงู†ุงุช ุชูƒูˆู† ูˆุงุถุญุฉ
120
+
121
+ 31
122
+ 00:02:46,080 --> 00:02:51,880
123
+ Use an appropriate scale for each axisุŒ ู…ู†ูุนุด ุฃุนู…ู„
124
+
125
+ 32
126
+ 00:02:51,880 --> 00:03:03,660
127
+ ุงู„ู€ variable XY ูˆุงุญุฏ ู…ุซู„ู‹ุงุŒ ู‡ุงูŠ
128
+
129
+ 33
130
+ 00:03:03,660 --> 00:03:10,340
131
+ ูƒู„ ุงู„ุจูŠุงู†ุงุช ูƒู„ู‡ุง ู…ุฑูƒุฒุฉุŒ ู‡ู„ ุงู„ู€ scale ู‡ุฐุง ู…ู†ุงุณุจุŸ ู„ุฃ
132
+
133
+ 34
134
+ 00:03:10,340 --> 00:03:16,660
135
+ ุฏู‡ุŒ ุฃุฎุชุงุฑ scale ู…ู†ุงุณุจุŒ ุงู„ู€ graphs ู„ุง ูŠุฌุจ ุฃู† ุชุจุฏุฃ ู…ู†
136
+
137
+ 35
138
+ 00:03:16,660 --> 00:03:19,980
139
+ ุตูุฑุŒ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุด ู…ุถุทุฑ ุชุจุฏุฃ ู…ู† ุตูุฑุŒ ูŠุนู†ูŠ ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:03:19,980 --> 00:03:27,520
143
+ ุฃุจุฏุฃ ู‡ุฐู‡ ุชูƒูˆู† ู…ุซู„ู‹ุง ู…ู† ุนุดุฑุฉ ู…ุซู„ู‹ุง ุญุณุจ ุงู„ู€ variable
144
+
145
+ 37
146
+ 00:03:27,520 --> 00:03:31,400
147
+ All
148
+
149
+ 38
150
+ 00:03:31,400 --> 00:03:34,380
151
+ data must fit on the graph scaleุŒ ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ูู„ุช
152
+
153
+ 39
154
+ 00:03:34,380 --> 00:03:41,630
155
+ ู„ุงุฒู… ุชุงุฎุฏ ูƒู„ ุงู„ู€ scaleุŒ a key must provide if there is
156
+
157
+ 40
158
+ 00:03:41,630 --> 00:03:43,870
159
+ more than one in the variableุŒ ู…ุซู„ู‹ุง ุนู†ุฏูŠ ุฃูƒุชุฑ ู…ู†
160
+
161
+ 41
162
+ 00:03:43,870 --> 00:03:49,370
163
+ variableุŒ ู‡ุงูŠ ุนู†ุฏูŠ ู‡ู†ุง ู…ุซู„ู‹ุง
164
+
165
+ 42
166
+ 00:03:49,370 --> 00:04:01,150
167
+ ู‡ุงุฏูŠ VุŒ ู‡ุงุฏูŠ ู…ุซู„ู‹ุงุŒ ู‡ุงูŠ ุนู†ุฏูŠ ู…ุซู„ู‹ุง
168
+
169
+ 43
170
+ 00:04:01,150 --> 00:04:05,290
171
+ ู‡ุงุฏูŠุŒ ุจุฏูŠ ุฃุนู…ู„ ุฃู†ุง ู‡ุงุฏูŠ ู…ุซู„ู‹ุง passenger car
172
+
173
+ 44
174
+ 00:04:10,510 --> 00:04:17,090
175
+ ู‡ุฐู‡ private car ู…ุซู„ู‹ุงุŒ ุงู„ุชุงู†ูŠุฉ private carุŒ ู‡ุฐู‡ ู…ุซู„ู‹ุง
176
+
177
+ 45
178
+ 00:04:17,090 --> 00:04:27,630
179
+ ู…ุซู„ุซุงุชุŒ ู‡ุฐู‡ ู…ุซู„ุซ busesุŒ ูู„ุงุฒู… ุฃุนู…ู„ legend ุฃูˆ label
180
+
181
+ 46
182
+ 00:04:27,630 --> 00:04:30,710
183
+ ู„ู‡
184
+
185
+ 47
186
+ 00:04:30,710 --> 00:04:35,730
187
+ ุฃุญุท ุนู†ูˆุงู† ู‡ู†ุง velocity ู…ุซู„ู‹ุง
188
+
189
+ 48
190
+ 00:04:39,940 --> 00:04:48,960
191
+ versus time for ู…ุซู„ู‹ุง different types
192
+
193
+ 49
194
+ 00:04:48,960 --> 00:05:02,480
195
+ of vehiclesุŒ ู„ู…ุฑ๏ฟฝ๏ฟฝุจุงุช ู…ุฎุชู„ูุฉุŒ ุงู„ู€
196
+
197
+ 50
198
+ 00:05:02,480 --> 00:05:05,600
199
+ textุŒ ุงู„ุชุฏุฑูŠุฌุงุช
200
+
201
+ 51
202
+ 00:05:09,720 --> 00:05:15,580
203
+ ู…ุซู„ู‹ุง ุฏูŠ high timeุŒ high
204
+
205
+ 52
206
+ 00:05:15,580 --> 00:05:20,940
207
+ time secondุŒ high velocity meter per secondุŒ ุชู…ุงู…
208
+
209
+ 53
210
+ 00:05:20,940 --> 00:05:29,600
211
+ ุฃุฏุฑุฌุŒ ู„ูˆ ูƒู†ุช ุฏูŠ major textุŒ ู‡ุงูŠ
212
+
213
+ 54
214
+ 00:05:29,600 --> 00:05:35,960
215
+ ุนุดุฑุฉ ู…ุซู„ู‹ุงุŒ ุนุดุฑูŠู†ุŒ ุซู„ุงุซูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ูˆููŠู† ุฏูŠ minor text
216
+
217
+ 55
218
+ 00:05:39,120 --> 00:05:49,020
219
+ ูƒู„ู‡ ุจูŠูƒูˆู† ู„ุฌูˆู‡ุŒ ุนู†ุฏ ู‡ู†ุง ู…ุซู„ู‹ุงุŒ ู‡ุงูŠ ูˆุงุญุฏุŒ ุฅุซู†ูŠู†ุŒ ุซู„ุงุซุฉ
220
+
221
+ 56
222
+ 00:05:49,020 --> 00:05:56,320
223
+ ุฃุฑุจุนุฉ ู…ุซู„ู‹ุงุŒ ู‡ุฐุง ู‡ุชูƒูˆู† ู…ุงููŠุด
224
+
225
+ 57
226
+ 00:05:56,320 --> 00:06:01,220
227
+ ุฅุฒุงุญุฉุŒ ุฃุญุท ู…ุซู„ู‹ุง ุฃุฑู‚ุงู…ุŒ ุฃุนู…ู„ ุฒุญู…ุฉ ููŠ ุงู„ุฃุฑู‚ุงู…ุŒ ู…ู† ุนุงู…ู„
228
+
229
+ 58
230
+ 00:06:01,220 --> 00:06:05,360
231
+ ู‡ูŠุญูƒูŠุŒ ู‡ุฐู‡ ุนุดุฑุฉุŒ ู‡ุฐู‡ ู‡ุชูƒูˆู† ุฃูƒูŠุฏ ูˆุงุญุฏ ูˆู„ุง ุฅุซู†ูŠู†ุŒ ุฅุซู†ูŠู†
232
+
233
+ 59
234
+ 00:06:05,360 --> 00:06:09,100
235
+ ุฅุซู†ูŠู†ุŒ ุฃุฑุจุนุฉุŒ ุณุชุฉุŒ ู…ู† ุนุดุฑุฉุŒ ูุจุญุท ุนู„ู‰ ุงู„ู€ major text ุจุฑู‚ู…
236
+
237
+ 60
238
+ 00:06:09,100 --> 00:06:17,700
239
+ ุจุณ ุจุญุทุด ุฃุฑู‚ุงู… ูƒุชูŠุฑุŒ ุจูŠุตูŠุฑ ุฒุญู…ุฉ ูˆุจูŠุตูŠุฑ ุตุนุจุฉ ุงู„ู‚ุฑุงุกุฉ
240
+
241
+ 61
242
+ 00:06:17,700 --> 00:06:23,360
243
+ ุงู„ู„ูŠ ู‡ู†ุดูˆู ุฃู†ูˆุงุน ุงู„ู€ chart typesุŒ ุฃู†ูˆุงุนู‡ุงุŒ ุฃูˆู„ู‹ุง ุฅู† ู‡ูˆ
244
+
245
+ 62
246
+ 00:06:23,360 --> 00:06:27,550
247
+ ุนู†ุฏูŠ ุงู„ู€ columnุŒ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ ู‡ูˆ ุงู„ู€ column... ููŠ ู†ุงุณ ูŠุณู…ูˆู†ู‡
248
+
249
+ 63
250
+ 00:06:27,550 --> 00:06:30,910
251
+ column bar graphุŒ ุจุณ ู‡ูˆ ุฃุฏู‚ ู‡ุฐุง columnุŒ ุงู„ู€ column
252
+
253
+ 64
254
+ 00:06:30,910 --> 00:06:36,270
255
+ ุจูŠูƒูˆู† ุงู„ู€ data verticalุŒ ู‡ุฐุง columnุŒ ุงู„ู€ bar ุจูŠูƒูˆู†
256
+
257
+ 65
258
+ 00:06:36,270 --> 00:06:40,930
259
+ ุฅูŠุดุŸ ุฃูู‚ูŠุŒ ู‡ู†ุดูˆู ุจุนุฏ ุดูˆูŠุฉุŒ ู‡ุฐุง column chartุŒ ุจุณ ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:06:40,930 --> 00:06:45,950
263
+ ู‡ูŠ number of studentsุŒ ุนู†ุฏูŠ... ุนู†ุฏูŠ ู‡ู†ุง ููŠ... ููŠ ูˆู„ุง
264
+
265
+ 67
266
+ 00:06:45,950 --> 00:06:50,470
267
+ ...ููŠ ุทู„ุงุจ ุจูŠู„ุนุจูˆุง ูƒุฑุฉ ู‚ุฏู…ุŒ ููŠ ุณุจุงุญุฉุŒ ุจ... ู‡ุฐุง ุงู„ู€
268
+
269
+ 68
270
+ 00:06:50,470 --> 00:06:53,570
271
+ football... ู‡ุฐุง ุงู„ู€ football ุงู„ุฃู…ุฑูŠูƒูŠุŒ ู‡ุฐุง swimming
272
+
273
+ 69
274
+ 00:06:53,570 --> 00:06:57,410
275
+ ุณุจุงุญุฉุŒ ููŠ ุงู„ู€ soccerุŒ ู‡ูŠ ูƒุฑุฉ ุงู„ู‚ุฏู… ุจุชุงุนุชู†ุงุŒ ููŠ ุนู†ุฏ ุงู„ู€
276
+
277
+ 70
278
+ 00:06:57,410 --> 00:07:00,170
279
+ ice hockeyุŒ ู„ุนุจุฉ ุงู„ู€ hockeyุŒ ูˆููŠ ุนู†ุฏูƒ ุงู„ู€ baseball
280
+
281
+ 71
282
+ 00:07:00,170 --> 00:07:04,650
283
+ ูููŠ ุนู†ุฏูŠ ูŠุนู†ูŠ ุจูŠู„ุนุจูˆุง ุงู„ู€ football ุซู„ุงุซุฉ ุทู„ุงุจ ุจูŠู„ุนุจูˆุง
284
+
285
+ 72
286
+ 00:07:04,650 --> 00:07:11,270
287
+ ุงู„ู€ footballุŒ ูˆุฅุซู†ูŠู† ุจูŠุญุจูˆุง ุงู„ุณุจุงุญุฉุŒ ูˆุฎู…ุณุฉ ุจูŠุญุจูˆุง
288
+
289
+ 73
290
+ 00:07:11,270 --> 00:07:18,660
291
+ ุงู„ู€ soccerุŒ ูˆุงู„ู‡ูˆูƒูŠ ูˆุงุญุฏุŒ ูˆุงู„ุจูŠุณุจูˆู„ ุฃุฑุจุนุฉุŒ ู„ู…ุง ุชุฌู…ุน
292
+
293
+ 74
294
+ 00:07:18,660 --> 00:07:24,980
295
+ ุซู„ุงุซุฉ ูˆุฅุซู†ูŠู†ุŒ ุฎู…ุณุฉุŒ ุฎู…ุณุฉุŒ ุนุดุฑุฉุŒ ูˆุงุญุฏุŒ ุฅุญุฏู‰ ุนุดุฑุฉุŒ ูˆ
296
+
297
+ 75
298
+ 00:07:24,980 --> 00:07:31,480
299
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉ ุนุดุฑ ุทุงู„ุจุŒ ูุฃู†ุง ุนุงู…ู„ bar chartุŒ bar chartุŒ ุงู„ู€ x
300
+
301
+ 76
302
+ 00:07:31,480 --> 00:07:35,280
303
+ -axis ู‡ู†ุงุŒ ุฅูŠุด ู‡ูˆุŸ ู†ูˆุน ุงู„ู€ sportุŒ ูŠุนู†ูŠ ู‡ูˆุŒ ู„ุงุญุธูˆุง
304
+
305
+ 77
306
+ 00:07:35,280 --> 00:07:38,820
307
+ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ุณู…ูŠ ุงู„ู€ x-axis ุงู„ู€ sportุŒ ูˆุงู„ู€ y-axis
308
+
309
+ 78
310
+ 00:07:38,820 --> 00:07:42,260
311
+ number of studentsุŒ ู…ุงููŠุด ู‡ู†ุง ูˆุงุญุฏุฉุŒ ูุนู…ู„ู‡ ู‡ู†ุง ูˆุงุญุฏ
312
+
313
+ 79
314
+ 00:07:42,260 --> 00:07:46,120
315
+ ุฅุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ู„ุงุญุธูˆุง ููŠ ุนู†ุฏูŠ ู‡ู†ุง ู‡ุฐุง ู‡ูˆ
316
+
317
+ 80
318
+ 00:07:46,120 --> 00:07:52,380
319
+ ุงู„ู€ barุŒ ุงู„ุขู† ู‡ูˆ ู…ุนุทูŠ ุฃู„ูˆุงู† ู…ุฎุชู„ูุฉุŒ ุฑู‚ู… ูˆุงุญุฏุŒ ูˆุจุนุฏูŠู†
320
+
321
+ 81
322
+ 00:07:52,380 --> 00:07:58,320
323
+ ุฃุนู…ู„ labelุŒ ุฅุฐุง ุนู…ู„ุช ู‡ุฐุง ุจุฏูˆู† ุงู„ู€ labelุŒ ู‡ุฐุง ู…ุด ู‡ูู‡ู…
324
+
325
+ 82
326
+ 00:08:00,130 --> 00:08:05,930
327
+ ุงู„ู„ูŠ ู‡ูˆ titleุŒ sports playedุŒ ู„ุญุธุฉุŒ ุนู†ุฏูƒ ู‡ุฐู‡ major
328
+
329
+ 83
330
+ 00:08:05,930 --> 00:08:12,710
331
+ ู‡ุฐุง minorุŒ ุฃุฎูุŒ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ column chart ุฃูˆ column
332
+
333
+ 84
334
+ 00:08:12,710 --> 00:08:16,590
335
+ graphุŒ ูุนู†ุฏูŠ
336
+
337
+ 85
338
+ 00:08:16,590 --> 00:08:22,150
339
+ ุงู„ู„ูŠ ู‡ูˆ line graphุŒ line graphุŒ ุนู†ุฏู‡ุง ู†ู…ุงุฐุฌ ุงู„ู€
340
+
341
+ 86
342
+ 00:08:22,150 --> 00:08:29,140
343
+ monthly populationุŒ ุนู„ู‰ ุงู„ู€ XุŒ ุฑูƒุฒุŒ ุญุงุทุฉ ุงู„ุดู‡ุฑุŒ ู‡ู†ุง ูˆุงุญุฏ
344
+
345
+ 87
346
+ 00:08:29,140 --> 00:08:32,220
347
+ ุฅุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑ
348
+
349
+ 88
350
+ 00:08:32,220 --> 00:08:37,260
351
+ ุฅุญุฏู‰ ุนุดุฑุŒ ุงุซู†ุง ุนุดุฑุŒ ุทุจุนู‹ุง
352
+
353
+ 89
354
+ 00:08:37,260 --> 00:08:42,980
355
+ ูŠุนู†ูŠ ุฃู†ุง... ูŠุนู†ูŠ ุฃู†ุง ุทุจุนู‹ุง ู‡ุญุทู‡ ุจุงู„ุนู…ุฏุฉุŒ ูŠุนู†ูŠ ู‡ุฐุง
356
+
357
+ 90
358
+ 00:08:42,980 --> 00:08:49,680
359
+ ุฃู†ุง ุจุตู†ูู‡ ูŠุนู†ูŠ ุณูŠุก ุงู„ู€ graph ู‡ุฐุงุŒ ูŠุนู†ูŠ ุงู„ู€ text ุจุชุงุนุฉ
360
+
361
+ 91
362
+ 00:08:49,680 --> 00:08:57,240
363
+ ุงู„ู€ month ู…ุด ูˆุงุถุญุฉุŒ ุฃู†ุง ุจุฃูุถู„ ุฃุญุท text ูˆุงุถุญุฉุŒ ุทุจุนู‹ุง ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:08:57,240 --> 00:09:00,950
367
+ ุงู„ู†ู‚ุงุทุŒ ุงู„ู€ line graphุŒ ุจูŠู† ูƒู„ ู†ู‚ุทุฉ ูˆู†ู‚ุทุฉ ุจูˆุงุณุทุฉ ููŠู‡
368
+
369
+ 93
370
+ 00:09:00,950 --> 00:09:05,410
371
+ ุฎุทุŒ ุนุดุงู† ูŠุณู…ูˆู‡ line graphุŒ ููŠู‡ ู„ุนู†ูˆุงู† monthly
372
+
373
+ 94
374
+ 00:09:05,410 --> 00:09:10,690
375
+ populationุŒ ูˆููŠู‡ ู„ุนู†ูˆุงู† horizontal axisุŒ ุงู„ู€ monthุŒ
376
+
377
+ 95
378
+ 00:09:10,690 --> 00:09:13,850
379
+ ูŠุนู†ูŠ
380
+
381
+ 96
382
+ 00:09:13,850 --> 00:09:18,290
383
+ ู‡ูˆ ูƒุงุชุจ monthsุŒ ุงู„ุฃุดู‡ุฑุŒ ูŠุนู†ูŠ ู‡ุฐุง ุฎู„ุท ู„ุบุฉุŒ ุบู„ุทุŒ
384
+
385
+ 97
386
+ 00:09:18,290 --> 00:09:25,270
387
+ ู…ุชุนุชุจุฑู‡ูˆุด monthุŒ ุนู†ุฏูƒ ุงู„ู€ populationุŒ ู„ูˆ ูƒุงู†ุช ุฃุญูŠุงู†ู‹ุง
388
+
389
+ 98
390
+ 00:09:25,270 --> 00:09:30,110
391
+ ุงู„ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ ูƒุชูŠุฑุŒ ู…ุซู„ู‹ุง ุฎู…ุณุฉ ู…ู„ุงูŠูŠู†ุŒ ุณุชุฉ ู…ู„ุงูŠูŠู†ุŒ
392
+
393
+ 99
394
+ 00:09:30,110 --> 00:09:33,150
395
+ ุจุฃุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ scientific notation... scientific
396
+
397
+ 100
398
+ 00:09:33,150 --> 00:09:38,530
399
+ notationุŒ ุฃูˆ ุจูƒุชุจ ู…ุซู„ู‹ุง ู…ู„ุงุญุธุฉุŒ population is in
400
+
401
+ 101
402
+ 00:09:38,530 --> 00:09:43,850
403
+ millions or in thousands or in hundredsุŒ ุจูƒูˆู† ูƒุฐู„ูƒ
404
+
405
+ 102
406
+ 00:09:43,850 --> 00:09:46,230
407
+ ุจูƒูˆู† ุฃุนุฑู ุฅู† ู‡ุฐุง ุญุถูˆุฑ ุจุญุซ ู…ุซู„ู‹ุง ููŠ ู…ู„ูŠูˆู† ุฃูˆ ููŠ ู…ุฆุฉ
408
+
409
+ 103
410
+ 00:09:46,230 --> 00:09:59,000
411
+ ุฃู„ู ุฃูˆ ููŠ ุฃู„ูุŒ ู‡ุฐุง ู‡ูˆ line graphุŒ ุงู„ู†ูˆุน ุงู„ุซุงู„ุซุŒ ุงู„ู€
412
+
413
+ 104
414
+ 00:09:59,000 --> 00:10:03,060
415
+ pie chartุŒ ู‡ุฐุง
416
+
417
+ 105
418
+ 00:10:03,060 --> 00:10:05,980
419
+ ุงู„ู€ pie chartุŒ ูˆุฒู‘ุน ู„ูŠ... ูˆูŽุฑูŽุฌู‘ูุน ู„ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุนุฑู‚ูŠ
420
+
421
+ 106
422
+ 00:10:05,980 --> 00:10:13,900
423
+ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช ุงู„ู…ุชุญุฏุฉุŒ ุฃูˆู„ ุดูŠุกุŒ ุฃูˆู„ ุดูŠุก ู‡ูˆ it
424
+
425
+ 107
426
+ 00:10:13,900 --> 00:10:19,220
427
+ is a pie chartุŒ likeุŒ is it a good one or bad oneุŒ ุฃูˆ
428
+
429
+ 108
430
+ 00:10:19,220 --> 00:10:22,020
431
+ ุจุฏูŠ ุฃุญูƒูŠ ุจุนุฏูŠู†ุŒ ุฅูŠุด ุงู„ู€ missing ููŠ ุงู„ู€ chart ู‡ุฐุงุŒ
432
+
433
+ 109
434
+ 00:10:22,020 --> 00:10:28,200
435
+ ุงู„ุนู†ูˆุงู†
436
+
437
+ 110
438
+ 00:10:28,200 --> 00:10:31,600
439
+ ุขุฎุฑูˆู†
440
+
441
+ 111
442
+ 00:10:31,600 --> 00:10:35,820
443
+ ุฃูƒุชุจ ethnicุŒ ethnic groups distribution in the
444
+
445
+ 112
446
+ 00:10:35,820 --> 00:10:39,640
447
+ united statesุŒ ุชูˆุฒูŠุน ุงู„ุนุฑู‚ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช
448
+
449
+ 113
450
+ 00:10:39,640 --> 00:10:42,120
451
+ ุงู„ู…ุชุญุฏุฉุŒ ุฅูŠู‡ ุงู„ุนู†ูˆุงู†ุŒ ุฃู†ุง... ุฃู†ุง ูู€ ุชูˆุฒูŠุน ุงู„ุนุฑู‚ ู…ู† ุงู„ู€...
452
+
453
+ 114
454
+ 00:10:42,120 --> 00:10:46,260
455
+ ู…ู† ุงู„ู€ legend ู‡ุฐุงุŒ ุงู„ู„ูŠ ู‡ู†ูƒุชุจ ุฅู† ู‡ุงุฏ HispanicุŒ ู‡ุงุฏ
456
+
457
+ 115
458
+ 00:10:46,260 --> 00:10:50,240
459
+ ู…ู† ุฃุตูˆู„ ุฅุณุจุงู†ูŠุฉุŒ ููŠ ุงู„ู€ whiteุŒ ุงู„ุจูŠุถุŒ ููŠ ุงู„ู€ African
460
+
461
+ 116
462
+ 00:10:50,240 --> 00:10:53,660
463
+ AmericanุŒ ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุฃุตูˆู„ ุฃูุฑูŠู‚ูŠุฉุŒ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
464
+
465
+ 117
466
+ 00:10:53,660 --> 00:10:57,480
467
+ ุงู„ู€ American IndiansุŒ ุงู„ู„ูŠ ู‡ู… ุงู„ุญู…ุฑุŒ ุงู„ู„ูŠ ู‡ู… ู‡ุฐู‡
468
+
469
+ 118
470
+ 00:10:57,480 --> 00:11:01,860
471
+ ุจุนุฏูŠู† ููŠ ุนู†ุฏูŠ ุงู„ู€ Asian PacificุŒ ู…ู† ุฃุตูˆู„ ุงู„ุดุฑู‚...
472
+
473
+ 119
474
+ 00:11:01,860 --> 00:11:07,700
475
+ ุงู„ุดุฑู‚ ุขุณูŠุงุŒ ูˆููŠ ุนู†ุฏูŠ ุงู„ุนุฑู‚ูŠุงุช ุงู„ุซุงู†ูŠุฉุŒ othersุŒ ูู‡ุฐุง
476
+
477
+ 120
478
+ 00:11:07,700 --> 00:11:13,320
479
+ by a chartุŒ ูŠุนู†ูŠ it is good enoughุŒ ู„ูƒู† ุงู„ู…ุดูƒู„ุฉ ุฅู†ู‡
480
+
481
+ 121
482
+ 00:11:13,320 --> 00:11:15,360
483
+ ู…ุด ุญุงุทุท title ู„ู„ู€ graph
484
+
485
+ 122
486
+ 00:11:20,010 --> 00:11:23,430
487
+ ูุฃู†ุง ุนู†ุฏูŠ ุงู„ู€ bar graphุŒ ุงู„ู€ bar ุบูŠุฑ columnุŒ ุจูŠูƒูˆู† ุฅูŠุด ู‡ูˆุŸ
488
+
489
+ 123
490
+ 00:11:23,430 --> 00:11:32,010
491
+ horizontalุŒ ุนู†ุฏูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู†ูˆุงู†ู‡ ABC sales recordุŒ
492
+
493
+ 124
494
+ 00:11:32,010 --> 00:11:35,290
495
+ ABC sales recordุŒ ุทุจุนู‹ุง ููŠ ุญุงู„ุฉ ุฅุฐุง ุจุญูƒูŠ records
496
+
497
+ 125
498
+ 00:11:35,290 --> 00:11:41,710
499
+ ุฏุงุฆู…ู‹ุง ุจุฃูุถู„ุŒ ู…ู…ูƒู† ุฃุนู…ู„ ุฅู† ุฃู†ุง ู…ุชุญุฑูƒุฉ ู…ุชุงุจุนุฉุŒ
500
+
501
+ 126
502
+ 00:11:41,710 --> 00:11:45,770
503
+ ูˆุฃุตู„ ู…ุง ูŠุทู„ุน ูŠู†ุฒู„ ุฒูŠ ู‡ูŠูƒุŒ ูˆุงุถุญุŸ
504
+
505
+ 127
506
+ 00:11:46,500 --> 00:11:49,740
507
+ ู„ุฃู†ู‡ ููŠ ุงู„ู€ heightุŒ ุฅุฐุง ุจูŠุตูŠุฑ ุจูŠุนู„ู‚ ูƒุชูŠุฑุŒ ูˆุจุฏูƒ ุฃู†ุช...
508
+
509
+ 128
510
+ 00:11:49,740 --> 00:11:53,060
511
+ ูŠุนู†ูŠ ุชุฎูŠู„ ุฃู†ุช ู…ุฑุชุจุท ููŠ ูƒูŠู ุฃู†ุช ุจุชุญุฑูƒ ุฌุณู…ูƒ ูˆูƒูŠู
512
+
513
+ 129
514
+ 00:11:53,060 --> 00:11:56,700
515
+ ุจุชุทู„ุน ุนู„ูŠู‡ุŒ ูู€ sales ูƒุชูŠุฑ ุตุงุฑุช ู…ุชุดุงุจูƒุฉ ู‡ูŠูƒ ุนู„ู‰ ุงู„ู€ netุŒ
516
+
517
+ 130
518
+ 00:11:56,700 --> 00:12:01,800
519
+ ู…ุซู„ู‹ุง ู…ุจูŠุนุงุช ุงู„ู€... ุงู„ู€... ู…ุจูŠุนุงุช ุงู„ุดุฑูƒุงุช ุงู„ู€... ุงู„ู€...
520
+
521
+ 131
522
+ 00:12:01,800 --> 00:12:06,320
523
+ ููŠ ุงู„ุชูƒู†ูˆู„ูˆุฌูŠุง ุงู„ู€... ู…ุซู„ู‹ุง ุงู„ู€... ุงู„ู€... ุงู„ู€... ุงู„ู€
524
+
525
+ 132
526
+ 00:12:06,320 --> 00:12:12,400
527
+ appleุŒ ุงู„ู€... ุงู„ู€ SamsungุŒ ุงู„ู€ LGุŒ ูˆู‡ูƒุฐุงุŒ ูู‡ุฐุง part
528
+
529
+ 133
530
+ 00:12:12,400 --> 00:12:19,640
531
+ chartุŒ ูŠุนู†ูŠ ุงู„ู€ ABC sales recordุŒ ู…ูˆุฒู‘ุนู‡ุง ู„ู…ู†ุงุทู‚ ููŠ
532
+
533
+ 134
534
+ 00:12:19,640 --> 00:12:27,700
535
+ NorthุŒ ุดู…ุงู„ุŒ ูˆ ุฃุชูˆุงุชุฑุŒ ุงุชุฌุงู‡ุŒ ุฌู†ูˆุจุŒ ุดุฑู‚ุŒ ุบุฑุจุŒ ุงู„ุขู†
536
+
537
+ 135
538
+ 00:12:27,700 --> 00:12:38,600
539
+ ูŠุนู†ูŠ ุงู„ู€ XX ู…ุด ูˆุงุถุญ ุฅูŠุด ู‡ูˆุŒ ู‡ุฐุง ุงู„ุฏูˆู„ุงุฑุŒ ูŠูˆุฑูˆุŒ poundุŒ
540
+
541
+ 136
542
+ 00:12:38,600 --> 00:12:46,480
543
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุซู„ู‹ุง ุฃู„ูุŒ ุฃู„ูุŒ ูˆู„ุง ุฃู„ู ู…ู„ูŠูˆู†ุŒ ูุงู„ู€ label ู‡ูŠูƒ ู…ุด
544
+
545
+ 137
546
+ 00:12:46,480 --> 00:12:52,360
547
+ ูˆุงุถุญุŒ ุงู„ู€ x axisุŒ ูˆุญุชู‰ ู‡ู†ุง ุงู„ู€... ูŠุนู†ูŠ ุงู„ู€ ab sales
548
+
549
+ 138
550
+ 00:12:52,360 --> 00:12:57,360
551
+ record ูˆูŠู†ุŸ
552
+
553
+ 139
554
+ 00:12:57,360 --> 00:13:06,100
555
+ ูˆูŠู†ุŸ ููŠ ุงู„ุตูŠู† ูˆู„ุง ููŠ ุงู„ุนุงู„ู… ูˆู„ุง ููŠ ุจุฑูŠุทุงู†ูŠุง ูˆู„ุง ููŠ
556
+
557
+ 140
558
+ 00:13:06,100 --> 00:13:10,990
559
+ ุงู„ูŠุงุจุงู†ุŒ ู…ุด... ูŠุนู†ูŠ ุงู„ุนู†ูˆุงู† ู…ุด... ู…ุด... ู…ุด ูˆุงุถุญุŒ ุทุจุนู‹ุง
560
+
561
+ 141
562
+ 00:13:10,990 --> 00:13:17,790
563
+ ู‡ู†ุง... ู‡ู†ุง ุงู„ู€ yearุŒ ู…ู…ูƒู† ุชุญูƒูŠ a b sales record in
564
+
565
+ 142
566
+ 00:13:17,790 --> 00:13:26,350
567
+ china for the years from 2013 to 2016ุŒ ุขู‡ ุงู„ุนู†ูˆุงู†
568
+
569
+ 143
570
+ 00:13:26,350 --> 00:13:31,590
571
+ ู…ุด ูˆุงุถุญุŒ ุงู„ู€ x axisุŒ ุงู„ู€ units ุจุชุงุนุชู‡ ู…ุด... ู…ุด ูˆุงุถุญุฉ
572
+
573
+ 144
574
+ 00:13:31,590 --> 00:13:33,890
575
+ ุขู‡ ูููŠ ูƒุฐุง ู…ุดูƒู„ุฉ
576
+
577
+ 145
578
+ 00:13:37,410 --> 00:13:41,490
579
+ ููŠ ุนู†ุฏูŠ ุงู„ู€ area chartุŒ ุฅู†ู‡ ุจุนุจูŠ ุงู„ู…ุณุงุญุฉุŒ areaุŒ ุงู„ู€
580
+
581
+ 146
582
+ 00:13:41,490 --> 00:13:47,710
583
+ chartุŒ ุฎู„ูŠู†ุง ู†ุทู„ุน ู‡ู†ุง
584
+
585
+ 147
586
+ 00:13:47,710 --> 00:13:52,930
587
+ ุจุฑุถู‡ ููŠ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ yearุŒ ุฃูƒุชุจ ุงู„ู€ year ู„ู„ู€ x axis
588
+
589
+ 148
590
+ 00:13:52,930 --> 00:13:58,650
591
+ ุฃู†ุง ูุงู‡ู… ุงู„ู€ yearุŒ ุจุณ ู‡ุฐุง 1750ุŒ 1800ุŒ 1850ุŒ 1900ุŒ ุงู„ุขู†
592
+
593
+ 149
594
+ 00:13:58,650 --> 00:14:07,020
595
+ ู…ุชุฎู„ูŠุด ููŠ ุงู„ู€ graphing ุงู„ู‚ุงุฑุฆ ูŠุณุชู†ุชุฌ ุฅูŠุด ุชู‚ุตุฏุŒ ุฃู†ุง
596
+
597
+ 150
598
+ 00:14:07,020 --> 00:14:11,780
599
+ ู…ุงู„ูƒุด ุฃู†ุช ุฅูŠุด ุจุชููƒุฑุŒ ุฅูŠู‡ ุฃู†ุง ููŠ ุงู„ู„ูŠ ุดุงูŠูู‡ุŸ ูŠู…ูƒู†
600
+
601
+ 151
602
+ 00:14:11,780 --> 00:14:18,100
603
+ ู‡ุฐู‡ ุงู„ุฃู„ู ูˆุฎู…ุณูŠู† ู‚ุทุนุฉุŒ
604
+
605
+ 152
606
+ 00:14:18,100 --> 00:14:21,240
607
+ ู…ุธุจูˆุทุŸ ูŠู…ูƒู† ุญุฏ ุซุงู†ูŠ ูŠุญูƒูŠ ู‡ุฐู‡ ู‚ุทุนุฉุŒ ูŠู…ูƒู† ุญุฏ ุซุงู†ูŠ
608
+
609
+ 153
610
+ 00:14:21,240 --> 00:14:27,980
611
+ ูŠุญูƒูŠ ุณู†ุฉุŒ ูŠู…ูƒู† ุญุฏ ุซุงู†ูŠ ูŠุญูƒูŠ ุทู†ุŒ historic and
612
+
613
+ 154
614
+ 00:14:27,980 --> 00:14:32,750
615
+ estimated worldwide population growth by regionุŒ by
616
+
617
+ 155
618
+ 00:14:32,750 --> 00:14:37,590
619
+ regionุŒ ู‡ูˆ ูˆุงุฎุฏ ุทุจุนู‹ุง different regionsุŒ ูˆู…ุนู‡ AsiaุŒ
620
+
621
+ 156
622
+ 00:14:37,590 --> 00:14:48,750
623
+ ูˆAfricaุŒ ูˆEuropeุŒ ูˆAmericaุŒ ูˆOceaniaุŒ ุฎู…ุณ ู…ู†ุงุทู‚ุŒ ู‡ุฐุง
624
+
625
+ 157
626
+ 00:14:48,750 --> 00:14:52,330
627
+ ุจูŠุณู…ู‰ area plot ุฃูˆ area graph ุฃูˆ area chart
628
+
629
+ 158
630
+ 00:15:02,440 --> 00:15:07,880
631
+ ู…ู…ูƒู† ู‡ูŠ ุชุญูƒูŠ population in billionsุŒ billions is
632
+
633
+ 159
634
+ 00:15:07,880 --> 00:15:11,700
635
+ not an axis titleุŒ billions unit
636
+
637
+ 160
638
+ 00:15:17,020 --> 00:15:21,840
639
+ ุนู†ุฏูŠ XY scatterุŒ ุจูŠุฎุชู„ู ุนู† ุงู„ู€ line plotุŒ ุฅู† ุงู„ู€ data
640
+
641
+ 161
642
+ 00:15:21,840 --> 00:15:26,820
643
+ ูƒู…ุง ู‡ูŠุŒ ู…ูˆุตู„ุด ุจูŠู†ู‡ุงุŒ ู‡ุฐุง XY scatterุŒ ู‡ุงูŠ ุงู„ู€ X axis
644
+
645
+ 162
646
+ 00:15:26,820 --> 00:15:32,380
647
+ ูˆู‡ูŠ ุงู„ู€ Y axisุŒ ู‡ู†ุง ุนู†ูˆุงู†ุŒ ู‡ู†ุง revenue versus
648
+
649
+ 163
650
+ 00:15:32,380 --> 00:15:37,660
651
+ ุงู„ุนูˆุงุฆุฏุŒ customer satisfactionุŒ ูŠุนู†ูŠ ู‡ุงูŠ ุงู„ู€
652
+
653
+ 164
654
+ 00:15:37,660 --> 00:15:40,780
655
+ customersุŒ ูƒู„ ู…ุง ุจุชุฑุถูŠ ุงู„ุฒุจูˆู† ุฃูƒุซุฑุŒ ูƒู„ ู…ุง ุจูŠุฌูŠูƒ
656
+
657
+ 165
658
+ 00:15:40,780 --> 00:15:45,400
659
+ ุนูˆุงุฆุฏ ุฃูƒุซุฑุŒ ูุงู„ู…ูุฑูˆุถ ู‡ู†ุง ูŠุญูƒูŠุดุŒ ู…ุด ูŠุญุท ุงู„ุนู†ูˆุงู† ู‡ู†ุง
660
+
661
+ 166
662
+ 00:15:47,100 --> 00:15:51,400
663
+ ู‡ู†ุง ู„ุฏูŠ ุงู„ู€ customer satisfactionุŒ ูˆู‡ู†ุง ุงู„ุฑุจุญ ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:15:51,400 --> 00:16:01,380
667
+ ุจุงู„ุนูƒุณุŒ ู‡ูˆ ู‚ุนุฏ ุงู„ุนู†ูˆุงู† ุบู„ุท ุนู†ุฏู‡ุŒ ุตุญุŸ ู…ุนูƒูˆุณุŒ customer
668
+
669
+ 168
670
+ 00:16:01,380 --> 00:16:04,780
671
+ satisfaction versus revenueุŒ ู„ุฃู† ุงู„ู€ revenue ุญุงุทู‡
672
+
673
+ 169
674
+ 00:16:04,780 --> 00:16:09,500
675
+ ุนู„ูŠู‡ ุนู„ู‰ ุงู„ู€ x axisุŒ ู„ุฃู† ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ุญูƒู‰ ู‡ูŠูƒ ุงูุชุฑุถุช ุฅู†
676
+
677
+ 170
678
+ 00:16:09,500 --> 00:16:13,590
679
+ ุงู„ู€ customer satisfaction ู‡ู†ุงุŒ ู„ูƒู† ู‡ูˆ ุนุงู…ู„ ุงู„ุนูƒุณุŒ ู‡ุฐุง
680
+
681
+ 171
682
+ 00:16:13,590 --> 00:16:19,070
683
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ customer satisfaction versus
684
+
685
+ 172
686
+ 00:16:19,070 --> 00:16:24,230
687
+ revenueุŒ ูˆู‡ู†ุง ุฃูƒุชุจ ู‡ู†ุง ุงู„ู€ revenueุŒ ูˆู‡ู†ุง ุงู„ู€ customer
688
+
689
+ 173
690
+ 00:16:24,230 --> 00:16:30,030
691
+ satisfaction index
692
+
693
+ 174
694
+ 00:16:30,030 --> 00:16:34,090
695
+ ูุจุฏู‡ุง ุชู†ุชุจู‡ูˆุง ู„ู„ุชูุงุตูŠู„ ู‡ุฐู‡
696
+
697
+ 175
698
+ 00:16:40,160 --> 00:16:42,640
699
+ ูุนู†ุฏู†ุง surface plotุŒ surface plotุŒ ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูŠูƒูˆู†
700
+
701
+ 176
702
+ 00:16:42,640 --> 00:16:46,560
703
+ ุนู†ุฏูŠ a dependent variable is a function of two
704
+
705
+ 177
706
+ 00:16:46,560 --> 00:16:50,480
707
+ independent variablesุŒ ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ุซู„ู‹ุง ุงุนุชุจุฑุชู‡ุง ุฏูŠ
708
+
709
+ 178
710
+ 00:
711
+
712
+ 223
713
+ 00:21:18,330 --> 00:21:19,210
714
+ ุฏูˆุงุฆุฑ
715
+
716
+ 224
717
+ 00:21:21,990 --> 00:21:25,430
718
+ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุตูุฑ ููŠ ุงู„ู…ุฆุฉุŒ ุฎู…ุณุฉ ููŠ ุงู„ู…ุฆุฉุŒ ุงู„ุฏูˆู„ุฉ
719
+
720
+ 225
721
+ 00:21:25,430 --> 00:21:29,190
722
+ ุงู„ูƒุจุฑู‰ ุนุดุฑุฉ ููŠ ุงู„ู…ุฆุฉุŒ ุฎู…ุณุฉ ุฃุดู‡ุฑุŒ ุนุดุฑูŠู†ุŒ ุฎู…ุณุฉ ูˆ
723
+
724
+ 226
725
+ 00:21:29,190 --> 00:21:32,770
726
+ ุนุดุฑูŠู† ููŠ ุงู„ู…ุฆุฉุŒ ูˆุจุนุฏูŠู† ุนู†ุฏูŠ ุงู„ directions ุนู†ุฏูŠ
727
+
728
+ 227
729
+ 00:21:32,770 --> 00:21:39,930
730
+ east, north, west, southุŒ ุนู†ุฏูŠ north east, north
731
+
732
+ 228
733
+ 00:21:39,930 --> 00:21:46,310
734
+ westุŒ ุนู†ุฏูŠ south west, south eastุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนู†ุง
735
+
736
+ 229
737
+ 00:21:46,310 --> 00:21:46,690
738
+ ุนู„ู‰ ู‡ุฐู‡
739
+
740
+ 230
741
+ 00:21:50,070 --> 00:21:55,510
742
+ ุตุงุฑุช ุงู„ุฑูŠุญ ุชูƒูˆู† ุฎู…ุณุฉ
743
+
744
+ 231
745
+ 00:21:55,510 --> 00:22:00,200
746
+ .. ุฎู…ุณุฉ ู…ุฆุฉ ุชูƒูˆู† ุฃุนู„ู‰ ุฎุงุตุฉ ุจู€ ุงู„ secondุฎู…ุณุฉ ููŠ
747
+
748
+ 232
749
+ 00:22:00,200 --> 00:22:02,720
750
+ ุงู„ู…ุฆุฉ ู…ู† ุงู„ุงุญุชู…ุงู„ ุชูƒูˆู† ุฎู…ุณุฉ .. ุฎู…ุณุฉ ู…ู† ุงู„ุณูƒุงู†
751
+
752
+ 233
753
+ 00:22:02,720 --> 00:22:06,620
754
+ ุจุงุชุฌุงู‡ ุงู„ north ู…ุซู„ุงู‹ ุจุนุถ ุงู„ุฃุญูŠุงู† ูˆุนู†ุฏูŠ ุฎู…ุณุฉ ููŠ
755
+
756
+ 234
757
+ 00:22:06,620 --> 00:22:12,520
758
+ ุงู„ู…ุฆุฉ ุจุงุชุฌุงู‡ ุงู„ .. ุงู„ .. ู‡ู†ุง east ู‡ู†ุง north ููƒุซูŠุฑ
759
+
760
+ 235
761
+ 00:22:12,520 --> 00:22:16,120
762
+ ุจูŠุณุชุฎุฏู…ูˆู‡ุง ููŠ ุญูƒุงูŠุงุช ุตูˆุฑุฉ ุงู„ุฑูŠุญ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชุณู…ู‰
763
+
764
+ 236
765
+ 00:22:16,120 --> 00:22:20,520
766
+ polar plot ู‡ูˆ ุงุณุชุฎุฏุงู… polar ู…ุน area polar area
767
+
768
+ 237
769
+ 00:22:20,520 --> 00:22:26,960
770
+ plots ุทุจุนุงู‹ ููŠ ุฃู†ูˆุงุน ุซุงู†ูŠุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ุฃุณุงุณูŠุฉ ุงู„ู„ูŠ
771
+
772
+ 238
773
+ 00:22:26,960 --> 00:22:28,060
774
+ ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆู‡ุง
775
+
776
+ 239
777
+ 00:22:33,260 --> 00:22:37,680
778
+ ุทูŠุจ ููŠ ุนู†ุฏู†ุง ุงู„ type of coordinates ู…ู† ู†ุธุงู…
779
+
780
+ 240
781
+ 00:22:37,680 --> 00:22:42,760
782
+ ุงู„ุฅุญุฏุงุซูŠุฉ ููŠ ุนู†ุฏู†ุง linear coordinates ูˆููŠ ุนู†ุฏูŠ
783
+
784
+ 241
785
+ 00:22:42,760 --> 00:22:48,020
786
+ semi log coordinates ูˆุนู†ุฏูŠ log log coordinates
787
+
788
+ 242
789
+ 00:22:48,020 --> 00:22:56,680
790
+ linear coordinates ูŠุนู†ูŠ ู„ูˆ ุนู…ู„ุช ู†ู‚ุทุฉ ุชู„ุงุชุฉ ูˆู†ุงู‚ุต
791
+
792
+ 243
793
+ 00:22:56,680 --> 00:23:02,630
794
+ ุฃุฑุจุนุฉ ุฃูˆ ู†ุงู‚ุต ุฃุฑุจุนุฉ ูˆุชู„ุงุชุฉุŒ ู‡ุงูŠ ุจู…ุดูŠ ููŠ ุงู„ X ู‡ุงูŠ ุงู„
795
+
796
+ 244
797
+ 00:23:02,630 --> 00:23:05,670
798
+ X axis ูˆุงู„ Y axis ู‡ุงูŠ ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต
799
+
800
+ 245
801
+ 00:23:05,670 --> 00:23:07,810
802
+ ุชู„ุงุชุฉ ู†ุงู‚ุต ุฃุฑุจุนุฉ ุจู…ุดูŠ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ุงู„ูˆุงุญุฏุฉ ุชู‚ุจู„
803
+
804
+ 246
805
+ 00:23:07,810 --> 00:23:11,670
806
+ ุงู„ูˆุงุญุฏุฉ ุฅู† ูˆุงู„ุชู„ุงุชุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ุฐุง linear
807
+
808
+ 247
809
+ 00:23:11,670 --> 00:23:16,770
810
+ ุจู…ุดูŠุด linear ูŠุนู†ูŠ ุฏูŠ ู…ุซู„ุงู‹ ุงุชู†ูŠู† ูˆู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุงูŠ
811
+
812
+ 248
813
+ 00:23:16,770 --> 00:23:21,750
814
+ ูˆุงุญุฏ ุงุชู†ูŠู† ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆ
815
+
816
+ 249
817
+ 00:23:21,750 --> 00:23:28,670
818
+ ู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุฐุง linear coordinate ููŠ semi log
819
+
820
+ 250
821
+ 00:23:31,640 --> 00:23:36,720
822
+ coordinate ู…ุซู„ุงู‹ ู„ูˆ ุนุดุงู† ู†ุฑุฌุน ู„ู„ curve ู‡ุฐุง ูู‡ู†ุง ุงู„
823
+
824
+ 251
825
+ 00:23:36,720 --> 00:23:39,720
826
+ straight ุจุชุฏุฑุฌ ุนู„ู‰ ุงู„ similar global ุจุณ ู†ุญูƒูŠ ู„ูˆ
827
+
828
+ 252
829
+ 00:23:39,720 --> 00:23:43,800
830
+ ุนู„ู‰ ุงู„ slide ู‡ุฐุง ูู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ linear
831
+
832
+ 253
833
+ 00:23:43,800 --> 00:23:48,700
834
+ straight line transformation ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† ู…ุนุงุฏู„ุฉ
835
+
836
+ 254
837
+ 00:23:48,700 --> 00:23:53,900
838
+ ุบูŠุฑ ุฎุทูŠุฉ ุฃุญูˆู„ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฎุทูŠุฉ ู…ุนุงุฏู„ุฉ ุงู„ุฎุท ุงู„ู…ุณุชู‚ูŠู…
839
+
840
+ 255
841
+ 00:23:53,900 --> 00:23:54,520
842
+ ุงู„ู„ูŠ ู‡ูŠ Y
843
+
844
+ 256
845
+ 00:23:59,500 --> 00:24:10,280
846
+ ุจุงู„ุณุงูˆูŠ ุจูŠ ููŠ x capital ุฒุงุฆุฏ aุŒ ุงู„ a ู‡ูŠ ุงู„
847
+
848
+ 257
849
+ 00:24:10,280 --> 00:24:19,460
850
+ intercept ูˆุงู„ b ุงู„ slope ูŠุนู†ูŠ ูŠุนู†ูŠ
851
+
852
+ 258
853
+ 00:24:19,460 --> 00:24:23,780
854
+ ู‡ูŠ ู‡ุฐุง
855
+
856
+ 259
857
+ 00:24:23,780 --> 00:24:29,210
858
+ a ู‡ุฐุง X ูƒุงุจูŠุชุงู„ ูˆ Y ูƒุงุจูŠุชุงู„ ูˆู‡ุฐุง ุงู„ ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ
859
+
860
+ 260
861
+ 00:24:29,210 --> 00:24:38,010
862
+ ูŠุงุด ุจูŠ ูƒุงุจูŠุชู„ ุนู†ุฏูŠ ู…ุนุงุฏู„ุฉ ุฒูŠ ุฏู‡ Y ุจุงู„ุณุงูˆูŠ
863
+
864
+ 261
865
+ 00:24:38,010 --> 00:24:48,630
866
+ A ุฒุงุฆุฏ B ุนู„ู‰ X ู‡ู„ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† X ูˆ B X ูˆ Y ุฎุทูŠุฉุŸ ู„ุฃ
867
+
868
+ 262
869
+ 00:24:48,630 --> 00:24:55,240
870
+ ุชุญุช ููŠ ุงู„ู…ู‚ุงู… ู…ุด ุฎุทูŠุฉ ู„ูƒู† ู…ู…ูƒู† ุฃุญูˆู„ู‡ุง ุฃุญูƒูŠ ุฃู†ู‡ ุฎู„ูŠ
871
+
872
+ 263
873
+ 00:24:55,240 --> 00:25:06,400
874
+ Y Y ูƒุงุจูŠุชุงู„ ูŠุนู†ูŠ transform Y Y transform into Y
875
+
876
+ 264
877
+ 00:25:06,400 --> 00:25:13,860
878
+ ูƒุงุจูŠุชุงู„ ูˆุงุญุฏ ุนู„ู‰ X transform it into X ูƒุงุจูŠุชุงู„
879
+
880
+ 265
881
+ 00:25:13,860 --> 00:25:20,760
882
+ ูŠุนู†ูŠ ุฃู†ุช ุจูŠูƒูˆู† ุนู†ุฏูƒ ุฌุฏูˆู„ X X
883
+
884
+ 266
885
+ 00:25:20,760 --> 00:25:32,210
886
+ ู‡ุฃุญุณุจ ูˆุงุญุฏ ุนู„ู‰ X ุฃูˆ Y I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
887
+
888
+ 267
889
+ 00:25:32,210 --> 00:25:39,670
890
+ ูุจุชุทูŠุญ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูŠุนู†ูŠ I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
891
+
892
+ 268
893
+ 00:25:39,670 --> 00:25:43,450
894
+ ูŠุนู†ูŠ ู‡ุงูŠ Y I transform Y small into Y ูƒุงุจูŠุชุงู„ ูˆ
895
+
896
+ 269
897
+ 00:25:43,450 --> 00:25:51,290
898
+ ูˆุงุญุฏุฉ ุนู„ู‰ X into X ูƒุงุจูŠุชุงู„ ูŠุนู†ูŠ ุจูŠุตูŠุฑ ู‡ุฐู‡ Y Y
899
+
900
+ 270
901
+ 00:25:52,880 --> 00:26:02,340
902
+ ุงู„ุงู†ุชุฑุณุจุช ุนู†ุฏูƒ a ุจุณุงูˆูŠ a ุฒุงุฆุฏ b ููŠ ูˆุงุญุฏ ุนู„ู‰ x ุฃู†ุง
903
+
904
+ 271
905
+ 00:26:02,340 --> 00:26:07,600
906
+ will plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x ู…ุนู†ุงุชู‡ ุงู„ุงู†ุชุฑุณุจุช ู„ู„ุนู„ุงู‚ุฉ
907
+
908
+ 272
909
+ 00:26:07,600 --> 00:26:16,060
910
+ ู‡ุฐู‡ ุญุชูƒูˆู† a ูˆุงู„ุณู„ูˆุจ b if I plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x
911
+
912
+ 273
913
+ 00:26:16,060 --> 00:26:19,220
914
+ ุญุงู„ุฉ
915
+
916
+ 274
917
+ 00:26:19,220 --> 00:26:20,140
918
+ ุซุงู†ูŠุฉ ุนู†ุฏูŠ y
919
+
920
+ 275
921
+ 00:26:26,870 --> 00:26:37,510
922
+ Y ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ A ุฒุงุฆุฏ B X ู„ูˆ ุนูƒุณุช ุงู„ู…ุนุงุฏู„ุฉ ุญุณูŠู†
923
+
924
+ 276
925
+ 00:26:37,510 --> 00:26:41,850
926
+ ุฃู† ุฏูŠ ูˆุงุญุฏ ุนู„ู‰ Y ุจูŠุณุงูˆูŠ
927
+
928
+ 277
929
+ 00:26:41,850 --> 00:26:52,030
930
+ A ุฒุงุฆุฏ B X ูŠุนู†ูŠ I transform ูˆุงุญุฏ ุนู„ู‰ Y into Y
931
+
932
+ 278
933
+ 00:26:52,030 --> 00:26:52,490
934
+ ูƒุงุจูŠุชุงู„
935
+
936
+ 279
937
+ 00:26:56,030 --> 00:27:02,750
938
+ ูˆ X small into X ูƒุงุจูŠุชุงู„ ู…ุง ุชุบูŠุฑุชุด ุงู„ X small ู‡ุงู„
939
+
940
+ 280
941
+ 00:27:02,750 --> 00:27:09,330
942
+ transformation ุงู„ู„ูŠ ุตุงุฑ I plot ุงู„ู„ูŠ
943
+
944
+ 281
945
+ 00:27:09,330 --> 00:27:15,030
946
+ ู‡ูŠ ูˆุงุญุฏ ุนู„ู‰ Y versus X
947
+
948
+ 282
949
+ 00:27:17,820 --> 00:27:22,600
950
+ plot ูˆุงุญุฏุฉ ุนู„ู‰ Y ุจุจุญุซ ุนู† ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ ูˆุจุฌูŠุจ ุงู„
951
+
952
+ 283
953
+ 00:27:22,600 --> 00:27:27,280
954
+ intercept ูˆุงู„ slope ุจุชุณู‡ู„ ุงู„ุดุบู„ ูƒุชูŠุฑ ูƒุชูŠุฑ ุจุชุณู‡ู„
955
+
956
+ 284
957
+ 00:27:27,280 --> 00:27:32,560
958
+ ุงู„ุดุบู„ ุจุญุงูˆู„ ูƒู„ ุดูŠุก non linear ู„ linear ุทูŠุจ ู…ุนุงุฏู„ุฉ
959
+
960
+ 285
961
+ 00:27:32,560 --> 00:27:39,560
962
+ ุซุงู†ูŠุฉ ุนู†ุฏูŠ ู…ุซู„ุงู‹ ุนู†ุฏูŠ ู‡ู†ุง Y Y
963
+
964
+ 286
965
+ 00:27:39,560 --> 00:27:42,640
966
+ ุจุงู„ุณุงูˆูŠ
967
+
968
+ 287
969
+ 00:27:42,640 --> 00:27:45,580
970
+ X ุนู„ู‰
971
+
972
+ 288
973
+ 00:27:48,210 --> 00:27:56,850
974
+ A ุฒุงุฆุฏ B X ู‡ุงูŠ ุงู„ู…ุนุงุฏู„ุฉ ูŠุนู†ูŠ
975
+
976
+ 289
977
+ 00:27:56,850 --> 00:28:03,830
978
+ ุงู„ู„ูŠ ุญูƒูŠุช y ุนู„ู‰ x ุญุชูƒูˆู†ุด ุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ A ุฒุงุฆุฏ B
979
+
980
+ 290
981
+ 00:28:03,830 --> 00:28:14,280
982
+ X ุทูŠุจ ุฃุนูƒุณู‡ุง x ุนู„ู‰ y ุจุณุงูˆูŠ a ุฒุงุฆุฏ bx ู…ุนู†ุงุชู‡ I
983
+
984
+ 291
985
+ 00:28:14,280 --> 00:28:23,980
986
+ transform X ุนู„ู‰ Y into Y ูƒุงุจูŠุชุงู„ ูˆ
987
+
988
+ 292
989
+ 00:28:23,980 --> 00:28:33,620
990
+ X small into X ูƒุงุจูŠุชุงู„ I plot X ุนู„ู‰ Y ู…ุน X ู‡ุฐุง ุงู„
991
+
992
+ 293
993
+ 00:28:33,620 --> 00:28:39,020
994
+ slope ูˆู‡ุฐุง ุงู„ intercept ุทูŠุจ
995
+
996
+ 294
997
+ 00:28:40,390 --> 00:28:48,830
998
+ ู†ุดูˆู ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ Y Y
999
+
1000
+ 295
1001
+ 00:28:48,830 --> 00:28:52,610
1002
+ Y
1003
+
1004
+ 296
1005
+ 00:28:52,610 --> 00:29:03,590
1006
+ ุจุงู„ุณุงูˆูŠ A B ุฃุณ X ู„ูˆ ุฃุฎุฏุช log ู„ู„ุทุฑููŠู† log ุงู„ Y
1007
+
1008
+ 297
1009
+ 00:29:06,020 --> 00:29:13,600
1010
+ ุจุณุงูˆูŠ log ุงู„ A plus log ุงู„ B to the X ูŠุนู†ูŠ ู‡ูŠูƒูˆู†
1011
+
1012
+ 298
1013
+ 00:29:13,600 --> 00:29:26,280
1014
+ ุณุงูˆูŠ log ุงู„ Y ุจุณุงูˆูŠ log ุงู„ A ุฒุงุฆุฏ X log ุงู„ B ูŠุนู†ูŠ
1015
+
1016
+ 299
1017
+ 00:29:26,280 --> 00:29:34,940
1018
+ I transform log ุงู„ Y into Y ูƒุงุจูŠุชุงู„
1019
+
1020
+ 300
1021
+ 00:29:37,680 --> 00:29:47,180
1022
+ ูˆุงู„ X ู„ู€ X into X ูƒุงุจูŠุชุงู„ ู‡ุฐุง ุจูŠุณู…ูŠู‡ semi log ู„ุฃู†
1023
+
1024
+ 301
1025
+ 00:29:47,180 --> 00:29:50,680
1026
+ one variable is logged another ุถุงู„ุฉ ุฒูŠ ู…ุง ู‡ูˆ
1027
+
1028
+ 302
1029
+ 00:29:50,680 --> 00:29:57,200
1030
+ linear ุถุงู„ุฉ ูŠุนู†ูŠ ุฃุจู„ุท log ู…ุน linear ุทุจุนุงู‹ ู‡ุฐู‡ ุญุณุงุจูŠ
1031
+
1032
+ 303
1033
+ 00:29:57,200 --> 00:29:59,700
1034
+ ุงู„ู„ูŠ ุจู†ุนู…ู„ู‡ุง ุจุงู„ุดูƒู„ ู‡ุฐุง ู‡ูƒุฐุง ููŠ ุณูŠุฑูŠู†ุฏูŠ ู‡ุฐุง Y
1035
+
1036
+ 304
1037
+ 00:29:59,700 --> 00:30:11,500
1038
+ ูƒุงุจูŠุชุงู„ ู…ุน log ุงู„ A ุงู„ู„ูŠ ู‡ูŠ A ูƒุงุจูŠุชุงู„ ู…ุน X ุจูŠ
1039
+
1040
+ 305
1041
+ 00:30:11,500 --> 00:30:17,140
1042
+ ูƒุงุจูŠุชุงู„ ู…ุนู†ุงุชู‡ ุงู„ุงุณู„ูˆุจ ุนู†ุฏูŠ ุงู„ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ log ุงู„
1043
+
1044
+ 306
1045
+ 00:30:17,140 --> 00:30:24,580
1046
+ B ูˆุงู„ intercept ู‡ูˆ log ุงู„ A ูŠุนู†ูŠ I plot log ุงู„ Y
1047
+
1048
+ 307
1049
+ 00:30:24,580 --> 00:30:31,060
1050
+ ู…ุน ุงู„ X log ุงู„ Y ู…ุน ุงู„ X ูˆุงู„ intercept ู‡ูˆ log ุงู„
1051
+
1052
+ 308
1053
+ 00:30:31,060 --> 00:30:42,800
1054
+ A ูˆุงู„ุงุณู„ูˆุจ ู‡ูˆ log ุงู„ B ุงู„ุขู† ุดูˆู ู…ุด
1055
+
1056
+ 309
1057
+ 00:30:42,800 --> 00:30:49,480
1058
+ ู…ุฎุชู„ูุฉ ูƒุชูŠุฑ ู‡ุฐู‡ ุฏู‡ ุขุฎุฐ ู‡ุฐู‡ y ุจุงู„ุณุงูˆูŠ
1059
+
1060
+ 310
1061
+ 00:30:49,480 --> 00:30:57,340
1062
+ y ุจุงู„ุณุงูˆูŠ ax
1063
+
1064
+ 311
1065
+ 00:30:57,340 --> 00:31:02,800
1066
+ to the b ุขุฎุฐ log ู„ู„ุทุฑููŠู† ูŠุตูŠุฑ log ุงู„ y
1067
+
1068
+ 312
1069
+ 00:31:05,700 --> 00:31:14,260
1070
+ ุจุณุงูˆูŠ log ุงู„ a ุฒุงุฆุฏ ุจูŠ log ุงู„ X ู…ุนู†ุงุชู‡ ู‡ูŠ
1071
+
1072
+ 313
1073
+ 00:31:14,260 --> 00:31:18,800
1074
+ transformed into Y ูƒุงุจูŠุชุงู„ ู‡ูŠ transformed into A
1075
+
1076
+ 314
1077
+ 00:31:18,800 --> 00:31:23,420
1078
+ ูƒุงุจูŠุชุงู„ ู‡ูŠ transferred into B ูƒุงุจูŠุชุงู„ ู‡ูŠ
1079
+
1080
+ 315
1081
+ 00:31:23,420 --> 00:31:27,860
1082
+ transferred into X ูƒุงุจูŠุชุงู„ ู…ุนู†ุงุชู‡ log log scale
1083
+
1084
+ 316
1085
+ 00:31:37,970 --> 00:31:43,990
1086
+ ุนู†ุฏูŠ ุขุฎุฑ ูˆุงุญุฏุฉ ู‡ูŠ y ุจูŠุณุงูˆูŠ a ุจุถุฑุจ b x to the n y
1087
+
1088
+ 317
1089
+ 00:31:43,990 --> 00:31:49,750
1090
+ y
1091
+
1092
+ 318
1093
+ 00:31:49,750 --> 00:31:53,490
1094
+ ุจูŠุณุงูˆูŠ
1095
+
1096
+ 319
1097
+ 00:31:53,490 --> 00:32:02,190
1098
+ a ุจุถุฑุจ b x to the n ู‡ุฐู‡
1099
+
1100
+ 320
1101
+ 00:32:02,190 --> 00:32:07,700
1102
+ I will transform it into Y ูƒุงุจูŠุชุงู„ ู‡ุฐู‡ into A
1103
+
1104
+ 321
1105
+ 00:32:07,700 --> 00:32:13,160
1106
+ ูƒุงุจูŠุชุงู„ ู‡ุฐู‡ into B ูƒุงุจูŠุชุงู„ ู‡ุฐู‡ into X to the N
1107
+
1108
+ 322
1109
+ 00:32:13,160 --> 00:32:18,980
1110
+ into X ูƒุงุจูŠุชุงู„ ูŠุนู†ูŠ I plot Y versus X to the N
1111
+
1112
+ 323
1113
+ 00:32:18,980 --> 00:32:25,120
1114
+ ูุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู„ intercept ุงู„ู„ูŠ ู‡ูˆ A ูˆุงู„ slope ุงู„ู„ูŠ
1115
+
1116
+ 324
1117
+ 00:32:25,120 --> 00:32:32,560
1118
+ ู‡ูˆ B ู†ุฑุฌุน ุนู„ู‰ ุงู„ log ู†ุนู… ู…ุง ู†ูุนุด
1119
+
1120
+ 325
1121
+ 00:32:32,560 --> 00:32:33,180
1122
+ ู„ูŠุดุŸ
1123
+
1124
+ 326
1125
+ 00:32:36,300 --> 00:32:42,780
1126
+ ู„ูˆ ู‡ุฐู‡ ุขุฎุฐ ุงู„ log ูŠุทู„ุน ุขุฎุฐ ุงู„ log log ุงู„ Y ุจูŠุตูŠุฑ log
1127
+
1128
+ 327
1129
+ 00:32:42,780 --> 00:32:50,300
1130
+ ุงู„ A ุฒุงุฆุฏ B X to the N ุงู„ log ุงู„ู„ูŠ ุฌูˆุง ุจูŠุตูŠุฑุด ู…ุฌู…ูˆุน
1131
+
1132
+ 328
1133
+ 00:32:50,300 --> 00:32:55,820
1134
+ log ุงู„ multiplication ุจุชุญูˆู„ู‡
1135
+
1136
+ 329
1137
+ 00:32:55,820 --> 00:33:01,980
1138
+ ู„ู…ุฌู…ูˆุนุฉ ู…ุง ู†ูุนุด ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุทูŠุจ ุงู„ู„ูŠ ู‡ุงู„ log scale
1139
+
1140
+ 330
1141
+ 00:33:01,980 --> 00:33:04,300
1142
+ ู‡ุขุฎุฐ
1143
+
1144
+ 331
1145
+ 00:33:05,170 --> 00:33:09,410
1146
+ ุจูŠู† ุงู„ุนุดุฑุฉ ูˆุงู„ู…ุฆุฉุŒ ู‡ุงูŠ ุงู„ุนุดุฑุฉ ุจุฏูŠ ุขุฎุฐ ุจูŠู† ุงู„ุนุดุฑุฉ
1147
+
1148
+ 332
1149
+ 00:33:09,410 --> 00:33:13,730
1150
+ ูˆุงู„ู…ุฆุฉ ุนุดุฑุฉ ุนุดุฑูŠู† ุขุฎุฐ ูˆุฃุฌูŠุจ ู„ู‡ ุงู„ log ุจุฏูŠ ุขุฎุฐ ุจูŠู†
1151
+
1152
+ 333
1153
+ 00:33:13,730 --> 00:33:19,390
1154
+ ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆุจูŠู† ุจูŠู† ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆุจูŠู†
1155
+
1156
+ 334
1157
+ 00:33:19,390 --> 00:33:21,610
1158
+ ุงู„ุนุดุฑุฉ ูˆุงู„ู…ุฆุฉ ุชุนุฑููŠ ุงู„ู…ุซุงู„ ุนู„ู‰ ุงู„ Excel ูˆุชุดูˆููŠ ุงูŠุด
1159
+
1160
+ 335
1161
+ 00:33:21,610 --> 00:33:25,170
1162
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู…ุนุงู‡ ุนุดุงู† ุชูู‡ู…ูŠ ุงูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„
1163
+
1164
+ 336
1165
+ 00:33:25,170 --> 00:33:30,450
1166
+ log scale ู‡ุงูŠ
1167
+
1168
+ 337
1169
+ 00:33:30,450 --> 00:33:41,870
1170
+ ุจุชุณู…ู‰ ุฃู†ุง ู‡ู†ุง I X ูˆู‡ุงูŠ log x ุนู†ุฏ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู†
1171
+
1172
+ 338
1173
+ 00:33:41,870 --> 00:33:51,130
1174
+ ุจุฏูŠ ุฃุญุท ู„ุญุฏ ุนุดุฑุฉ ุจุนุฏ
1175
+
1176
+ 339
1177
+ 00:33:51,130 --> 00:33:54,430
1178
+ ู‡ู†ุง ุนู†ุฏูŠ ุนุดุฑุฉ ุนุดุฑูŠู† ุจุฏูŠ ุฃุนู…ู„ ู„ุญุฏ ุงู„ู…ุฆุฉ
1179
+
1180
+ 340
1181
+ 00:34:04,730 --> 00:34:07,710
1182
+ ุทุจ ุฅุฐุง ูƒุงู… ุจูŠู† ุงู„ 100 ูˆุงู„ 1000 ู‡ุฃุญูƒูŠ 100 200 300
1183
+
1184
+ 341
1185
+ 00:34:07,710 --> 00:34:15,910
1186
+ ู„ุญุฏ ุงู„ 1000 ู„ู…ุง ุจุชุฏุฎู„ ุงู„ log ู‡ู†ุง ุจุชุณุงูˆูŠ log log
1187
+
1188
+ 342
1189
+ 00:34:15,910 --> 00:34:23,510
1190
+ ู„ู„ุฃุณุงุณ ุนุดุฑุฉ log 10 ู„ู„ูˆุงุญุฏ
1191
+
1192
+ 343
1193
+ 00:34:23,510 --> 00:34:27,810
1194
+ log
1195
+
1196
+ 344
1197
+ 00:34:27,810 --> 00:34:29,050
1198
+ ุงู„ูˆุงุญุฏ ุจุชุณุงูˆูŠ ุตูุฑ
1199
+
1200
+ 345
1201
+ 00:34:33,820 --> 00:34:40,080
1202
+ ุนุดุงู† ุฎู„ูŠู†ูŠ ุฃู†ุง ุฃุนู…ู„ู‡ ุทูŠุจ
1203
+
1204
+ 346
1205
+ 00:35:01,510 --> 00:35:08,090
1206
+ ุฃุทู„ุน ู„ุฌ ุงู„ูˆุงุญุฏ ูƒู… ู„ุฃู† ุนุดุฑ ุฃูˆ ุตูุฑ ุตุญุŸ log ุงู„ูˆุงุญุฏ
1207
+
1208
+ 347
1209
+ 00:35:08,090 --> 00:35:17,610
1210
+ ุงู„ุนุดุฑุฉ ูˆุงุญุฏ log ุงู„ู…ุฆุฉ ุงุชู†ูŠู† log ุงู„ุฃู„ู ุชู„ุงุชุฉ ุนุดุฑ ุขู„ุงู
1211
+
1212
+ 348
1213
+ 00:35:17,610 --> 00:35:25,490
1214
+ ุฃุฑุจุนุฉ ู…ูŠุฉ ุฃู„ู ุฎู…ุณุฉ ู…ู„ูŠูˆู† ุณุชุฉ ูˆูƒุฐุง ุทูŠุจ ุฃุทู„ุน ุจูŠู†
1215
+
1216
+ 349
1217
+ 00:35:25,490 --> 00:35:27,430
1218
+ ุงู„ุตูุฑ ูˆุงู„ุตูุฑ
1219
+
1220
+ 350
1221
+ 00:35:29,400 --> 00:35:34,760
1222
+ ูˆุจูŠู† ุงู„ูˆุงุญุฏ ูˆุงุชู†ูŠู† ุจูŠู†
1223
+
1224
+ 351
1225
+ 00:35:34,760 --> 00:35:41,840
1226
+ ุงู„ูˆุงุญุฏ ูˆุงุชู†ูŠู† ุชู‚ุฑูŠุจุงู‹ ุฃู†ุง ุขุฎุฐ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ุฆุฉ ุจูŠู†
1227
+
1228
+ 352
1229
+ 00:35:41,840 --> 00:35:48,940
1230
+ ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูŠุนู†ูŠ ุฎู„ูŠู†ูŠ ุฃุญูƒูŠ ุฎู„ูŠู†ูŠ ุขุฎุฐ ุงู„ูุฑู‚
1231
+
1232
+ 353
1233
+ 00:35:48,940 --> 00:35:55,600
1234
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู‡ุฐู‡ ุจุชุณุงูˆูŠ ู‡ุฐู‡ ู†ุงู‚ุต ู‡ุฐู‡ ุจุณ ุนุดุงู† ุฃูˆุถุญ
1235
+
1236
+ 354
1237
+ 00:35:58,430 --> 00:36:01,250
1238
+ ู‡ุฐู‡ ุงู„ difference ุฎู„ูŠู†ูŠ ุฃุณู…ูŠู‡ุง ุงู„ difference
1239
+
1240
+ 355
1241
+ 00:36:01,250 --> 00:36:04,870
1242
+ ุฎู„ูŠู†ูŠ
1243
+
1244
+ 356
1245
+ 00:36:04,870 --> 00:36:09,250
1246
+ ุฃุณู…ูŠู‡ุง ุตูุฑ ุงู„ุงุชู†ูŠู†
1247
+
1248
+ 357
1249
+ 00:36:09,250 --> 00:36:12,790
1250
+ ุขุฎุฐุฉ point ุชู„ุงุชุฉ ููŠ ุงู„ู…ุฆุฉ ุงู„ูุฑู‚ ุจูŠู† ุงู„ tick ู„ู…ุง
1251
+
1252
+ 358
1253
+ 00:36:12,790 --> 00:36:15,010
1254
+ ุฃู†ุง ุฃุนู…ู„ tick ุขุฎุฐ point ุชู„ุงุชุฉ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1255
+
1256
+ 359
1257
+ 00:36:15,010 --> 00:36:17,790
1258
+ ูˆุงู„ุงุชู†ูŠู† ุขุฎุฐุฉ point ูˆุงุญุฏ ุณุจุนุฉ ุณุชุฉ ุจูŠู† ุฃุฑุจุนุฉ
1259
+
1260
+ 360
1261
+ 00:36:17,790 --> 00:36:22,390
1262
+ ูˆุงู„ุชู„ุงุชุฉ point ูˆุงุญุฏ ุงุชู†ูŠู† ุฎู…ุณุฉ ุจูŠู† ุงู„ุฎู…ุณุฉ ูˆุงู„ุงุฑุจุนุฉ
1263
+
1264
+ 361
1265
+ 00:36:22,390 --> 00:36:25,010
1266
+ point ุงูˆ ุชุณุนุฉ ุณุจุนุฉ ุจูŠู†
1267
+
1268
+ 362
1269
+ 00:36:26,930 --> 00:36:31,390
1270
+ ุงู„ุณุชุฉ ูˆุงู„ุฎู…ุณุฉ point ุงูˆ ุณุจุนุฉ ุณุจุนุฉ ูƒู…ุงู† ุจู‚ู„ ุจูŠู†
1271
+
1272
+ 363
1273
+ 00:36:31,390 --> 00:36:37,350
1274
+ ุงู„ุณุจุนุฉ ูˆุงู„ุณุชุฉ point ุงูˆ ุณุชุฉ ุณุจุนุฉ ู„ุญุธุฉ ุจูŠู† ุงู„ุนุดุฑุฉ
1275
+
1276
+ 364
1277
+ 00:36:37,350 --> 00:36:40,890
1278
+ ูˆุงู„ุชุณุนุฉ point ุงูˆ ุงุฑุจุนุฉ ุณุชุฉ ุงู„ุขู† ุงุฑุฌุน ุจูŠู† ุงู„ุนุดุฑูŠู†
1279
+
1280
+ 365
1281
+ 00:36:40,890 --> 00:36:46,370
1282
+ ูˆุงู„ุนุดุฑุฉ ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูˆุงู„ูˆุงุญุฏ ุจูŠู† ุงู„ุชู„ุงุชูŠู†
1283
+
1284
+ 366
1285
+ 00:36:46,370 --> 00:36:49,830
1286
+ ูˆุงู„ุนุดุฑูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุชู„ุงุชุฉ ูˆุงู„ุงุชู†ูŠู† ุจูŠู†
1287
+
1288
+ 367
1289
+ 00:36:49,830 --> 00:36:52,850
1290
+ ุงู„ุงุฑุจุนูŠู† ูˆุงู„ุชู„ุงุชูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุฑุจุนุฉ ูˆุงู„ุชู„ุงุชุฉ
1291
+
1292
+ 368
1293
+ 00:36:52,850 --> 00:36:55,930
1294
+ ุจูŠู† ุงู„ุฎู…ุณูŠู† ูˆุงู„ุงุฑุจุนูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุฎู…ุณุฉ
1295
+
1296
+ 369
1297
+ 00:36:55,930 --> 00:37:00,210
1298
+ ูˆุงู„ุงุฑุจุนุฉ ู„ุงุญุธูˆุง
1299
+
1300
+ 370
1301
+ 00:37:00,210 --> 00:37:09,270
1302
+ ุงู„ูุฑูˆู‚ุŸ ุทูŠุจ ู…ุนู†ุงุชู‡ ู„ู…ุง ุฃู†ุง ุขุฌูŠ ุฃุนู…ู„ log scale
1303
+
1304
+ 371
1305
+ 00:37:20,020 --> 00:37:26,220
1306
+ ู‡ูŠ ุนู„ู‰ ุงู„ x axis ุจุฏูŠ ุฃุฏุฑุฌู‡ ู‡ูŠ ู†ุญูƒูŠ ุนุดุฑุฉ ุฃู‚ุตู‰ ุตูุฑ ุงู„ู„ูŠ
1307
+
1308
+ 372
1309
+ 00:37:26,220 --> 00:37:35,920
1310
+ ู‡ูŠ ุงูŠุด ูˆุงุญุฏ ุนุดุฑุฉ ุฃู‚ุตู‰ ูˆุงุญุฏ ุนุดุฑุฉ ุนุดุฑุฉ ุฃู‚ุตู‰ ุงุชู†ูŠู† ู…ุฆุฉ
1311
+
1312
+ 373
1313
+ 00:37:35,920 --> 00:37:43,020
1314
+ ุงู„ุขู† log ุงู„ูˆุงุญุฏ point ู„ุง log ุงู„ูˆุงุญุฏ zero ู‡ูŠ ุงู„ู„ูŠ
1315
+
1316
+ 374
1317
+ 00:37:43,020 --> 00:37:44,320
1318
+ ู‡ู†ุง ู‡ูŠ ู‡ุงุฏูŠ
1319
+
1320
+ 375
1321
+ 00:37:47,220 --> 00:37:51,740
1322
+ log ุงู„ุงุชู†ูŠู† ุขุฎุฐุฉ ุชู‚ุฑูŠุจุงู‹ ุชู„ุชุฉ ุชู„ุชุฉ ู…ู† ุนุดุฑุฉ ูŠุนู†ูŠ ู‡ุงูŠ
1323
+
1324
+ 376
1325
+ 00:37:51,740 --> 00:38:01,080
1326
+ ุฌุงูŠุฉ ู‡ู†ุง ู‡ุฐู‡ log ุงู„ุงุชู†ูŠู† ู‡ุฐู‡ ูˆุงุญุฏ ู‡ุฐู‡ ุงุชู†ูŠู† ูˆู‡ุฐู‡
1327
+
1328
+ 377
1329
+ 00:38:01,080 --> 00:38:07,380
1330
+ ู†ูุณ ุงู„ุดูŠุก ุนุดุฑูŠู† ุงู„ุชู„ุงุชุฉ
1331
+
1332
+ 378
1333
+ 00:38:07,380 --> 00:38:13,680
1334
+ ุชู‚ุฑูŠุจุงู‹ ุฌุงูŠู‡ ู†ุต ู‡ุฐู‡ ู†ุตู‡ุง ุฌุงูŠู‡ ู‡ู†ุง ู‡ุฐู‡ ุงู„ุชู„ุงุชุฉ
1335
+
1336
+ 379
1337
+ 00:38:16,480 --> 00:38:24,160
1338
+ ุงู„ุงุฑุจุนุฉ ูŠุนู†ูŠ ุฌุงูŠู‡ ุฒูŠ ู‡ูŠูƒ ุงู„ุฎู…ุณุฉ
1339
+
1340
+ 380
1341
+ 00:38:24,160 --> 00:38:27,740
1342
+ ุงู„ุณุชุฉ
1343
+
1344
+ 381
1345
+ 00:38:27,740 --> 00:38:34,120
1346
+ ุงู„ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ููƒู„ ู…ุง ูŠู‚ุฑุจ ุงู„ุนุดุฑุฉ ุงู„ูุฑู‚ ุงูŠุด ุจูŠู‚ู„ ูุจูŠุฌูŠ
1347
+
1348
+ 382
1349
+ 00:38:34,120 --> 00:38:40,380
1350
+ ุงู„ scale ู…ู‚ุณู… ุฒูŠ ู‡ูŠูƒ ููŠ ุงู„ log scale
1351
+
1352
+ 383
1353
+ 00:38:43,110 --> 00:38:47,290
1354
+ ูˆุงุถุญ ูƒูŠู ุฃุฌูŠุจ ุฃู†ุง ุฃุฌูŠุจ ุชู‚ุณูŠู…ู‡ ู…ู† ู‡ุฐู‡ ุทุจุนุงู‹ ู‡ุฐุง
1355
+
1356
+ 384
1357
+ 00:38:47,290 --> 00:38:54,690
1358
+ ุจุชูƒุฑุฑ ุทูŠุจ ู…ู† 0 ู„ู€ 1 ู„ู€ 10 ู†ูุณู‡ ูุจูŠุฌูŠ ุงู„ curve ุจูŠุฌูŠ
1359
+
1360
+ 385
1361
+ 00:38:54,690 --> 00:38:59,550
1362
+ ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ log ุงู„ู„ูŠ ู‡ูˆ ุงู„ log scale ู‡ูŠ ุงู„ log
1363
+
1364
+ 386
1365
+ 00:38:59,550 --> 00:39:05,790
1366
+ scale ูู„ู…ุง
1367
+
1368
+ 387
1369
+ 00:39:05,790 --> 00:39:06,970
1370
+ ุฃู†ุง ุฃุนู„ู† ู†ู‚ุทุฉ ู‡ู†ุง
1371
+
1372
+ 388
1373
+ 00:39:15,380 --> 00:39:21,080
1374
+ ูŠุนู†ูŠ ุนู†ุฏูƒ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุฃุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ
1375
+
1376
+ 389
1377
+ 00:39:21,080 --> 00:39:27,260
1378
+ ุซู…ุงู†ูŠุฉ ุชุณุนุฉ ุนุดุฑุฉ ูุงู†ุง ุฃู„ุงุญุธ ู…ุซู„ุงู‹ ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ
1379
+
1380
+ 390
1381
+ 00:39:27,260 --> 00:39:32,940
1382
+ ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ ูุฃุนู„ู…ู‡ ูˆู‡ุฐุง ุทุจุนุงู‹ log log scale
1383
+
1384
+ 391
1385
+ 00:39:32,940 --> 00:39:37,240
1386
+ ูŠุนู†ูŠ ุงู„ x axis ู…ุฏุฑุฌ log ูŠุนู†ูŠ ุงู„ differences ู…ุด
1387
+
1388
+ 392
1389
+ 00:39:37,240 --> 00:39:43,560
1390
+ ุซุงุจุชุฉ ููŠ ุชูƒุฑุงุฑ ู…ู† ูˆุงุญุฏ ู„ุนุดุฑุฉ ู†ูุณ ุงู„ pattern ุจูŠู†
1391
+
1392
+ 393
1393
+ 00:39:43,560 --> 00:39:46,580
1394
+ ุนุดุฑุฉ ูˆู…ุฆุฉ ุจูŠู† ู…ุฆุฉ ูˆุฃู„ู ุจูŠู† ุฃู„ู ูˆุนุดุฑุฉ ุขู„ุงู ุจูŠู†
1395
+
1396
+ 394
1397
+ 00:39:46,580 --> 00:39:50,260
1398
+ ุนุดุฑุฉ ุขู„ุงู ูˆู…ูŠุช ุฃู„ู ุจูŠู† ู…ูŠุช ุฃู„ู ูˆู…ู„ูŠูˆู† ุจูŠู† ู…ู„ูŠูˆู†
1399
+
1400
+ 395
1401
+ 00:39:50,260 --> 00:39:52,440
1402
+ ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆู…ูŠุช ู…ู„ูŠูˆู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู†
1403
+
1404
+ 396
1405
+ 00:39:52,440 --> 00:39:57,620
1406
+ ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ
1407
+
1408
+ 397
1409
+ 00:39:57,620 --> 00:40:02,280
1410
+ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆ
1411
+
1412
+ 398
1413
+ 00:40:02,280 --> 00:40:02,600
1414
+ ุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู†
1415
+
1416
+ 399
1417
+ 00:40:02,600 --> 00:40:02,640
1418
+ ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ
1419
+
1420
+ 400
1421
+ 00:40:02,640 --> 00:40:05,540
1422
+ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆ
1423
+
1424
+ 401
1425
+ 00:40:05,540 --> 00:40:12,070
1426
+ ุนุดุฑุฉ ู…ู„ุงูŠูŠู† ูˆู…ุจุงุดุฑุฉ ุจุญุท ุงู„ู‚ูŠู…ุฉ ู…ุซู„ุงู‹ ู‡ูŠ ูˆุงุญุฏ ู‡ูŠ ูˆุงุญุฏ
1427
+
1428
+ 402
1429
+ 00:40:12,070 --> 00:40:17,390
1430
+ ูˆุงุญุฏ ู…ุน ู…ุฆุฉ ูˆุงุญุฏ ู…ุน ู…ุฆุฉ ูˆูŠู† ุญุชุฌูŠ ู‡ูŠ ู‡ู†ุง ู‡ู†ุง ู‡ู†ุง
1431
+
1432
+ 403
1433
+ 00:40:17,390 --> 00:40:23,630
1434
+ ูˆุงุญุฏ ู…ุน ู…ุฆุฉ ูˆุงุถุญุงุช ู…ุซู„ุงู‹ ุนุดุฑุฉ ุนุดุฑุฉ ู…ุน ุนุดุฑุฉ ู‡ูŠู‡ุง
1435
+
1436
+ 404
1437
+ 00
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/A0IHWUvs2Dw_postprocess.srt ADDED
@@ -0,0 +1,1676 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,600 --> 00:00:07,940
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆ ุฑุญู…ุฉ ุงู„ู„ู‡ ูˆ
4
+
5
+ 2
6
+ 00:00:07,940 --> 00:00:10,780
7
+ ุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุจุฑุถู‡ ููŠ ู†ูุณ ุงู„ chapter ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:10,780 --> 00:00:16,880
11
+ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑุจูŠุฉ ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู†
12
+
13
+ 4
14
+ 00:00:16,880 --> 00:00:21,640
15
+ presentation of experimental data ุงูˆู„ ุดูŠ ู‡ู†ุญูƒูŠ ุนู†
16
+
17
+ 5
18
+ 00:00:21,640 --> 00:00:24,160
19
+ general rules for making graphs ุทุจุนุง ุงู„ graphs
20
+
21
+ 6
22
+ 00:00:24,160 --> 00:00:33,740
23
+ ุจุดูƒู„ ุนุงู… ุจุชุนุทูŠ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ุจุดูƒู„ ู…ุจุณุท ูˆ ุดูƒู„ ุดุฑูŠุน
24
+
25
+ 7
26
+ 00:00:34,830 --> 00:00:38,010
27
+ ู…ู…ูƒู† ุงุชูˆู‚ุน ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ independent variable ูˆ
28
+
29
+ 8
30
+ 00:00:38,010 --> 00:00:40,270
31
+ independent variable ุจู†ุงุก ุนู„ู‰ graph ุงู† ู…ุซู„ุง ู‡ู„
32
+
33
+ 9
34
+ 00:00:40,270 --> 00:00:46,350
35
+ ุนู„ุงู‚ุฉ ู…ุซู„ุง ุนู„ุงู‚ุฉ ุทุฑุฏูŠุฉ ุชุฒุงูˆุฏูŠุฉ ุงูˆ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
36
+
37
+ 10
38
+ 00:00:46,350 --> 00:00:54,160
39
+ ุจุงู„ุฒูŠุฏ X ุจุงู„ู‚ู„ Y ุงูˆ ู‡ู„ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูˆู„ุง ุบูŠุฑ ุฎุทูŠุฉูˆ
40
+
41
+ 11
42
+ 00:00:54,160 --> 00:00:57,280
43
+ ุฅุฐุง ูƒุงู†ุช ุบูŠุฑ ุฎุทูŠุฉ ู‡ุง ู‡ูŠ .. ู‡ูŠ logarithmic ูˆู„ุง
44
+
45
+ 12
46
+ 00:00:57,280 --> 00:01:02,480
47
+ exponential ูˆู„ุง .. ูˆู„ุง polynomial ูˆู„ุง sinusoid ู…ู†
48
+
49
+ 13
50
+ 00:01:02,480 --> 00:01:08,420
51
+ ุดูƒู„ ุงู„ graph ุจุงุฎุฏ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ูˆ ุจุนุทูŠ ุชู‚ุฏูŠุฑ ู„ู†ูˆุน
52
+
53
+ 14
54
+ 00:01:08,420 --> 00:01:12,040
55
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ two variables X and Y ูˆ ููŠ ู†ูุณ
56
+
57
+ 15
58
+ 00:01:12,040 --> 00:01:15,780
59
+ ุงู„ูˆู‚ุช ุจุณุชุฎุฑุฌ ู…ุนู„ูˆู…ุงุช ุฃุณู‡ู„ ูˆ ุฃุณุฑุน ู„ู…ุง ุฃุทู„ุน ุฌุฏูˆู„
60
+
61
+ 16
62
+ 00:01:15,780 --> 00:01:23,410
63
+ ุฃุฑู‚ุงู… ูƒุชูŠุฑ ุตุนุจ ุฃุณุชูˆุนุจุงู„ graph ุจูŠุนุทูŠู†ุง ูู‡ู… ุฏู‚ูŠู‚
64
+
65
+ 17
66
+ 00:01:23,410 --> 00:01:29,490
67
+ ูˆุณุฑูŠุน ูˆุจูŠุนุทูŠู†ุง ุงู„ trend ุจุชุงุน ุงู„ุชุบูŠุฑ .. ุงู„ trend
68
+
69
+ 18
70
+ 00:01:29,490 --> 00:01:33,190
71
+ ุจุชุงุน ุงู„ุชุบูŠุฑ ุนุดุงู† ุฐู„ูƒ ุฃู†ุง ุจู„ุฌุฃ ู„ู„ graphing ุงู„ู„ูŠ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:33,190 --> 00:01:37,850
75
+ ููŠู‡ general rules for making graphs ุฃูˆู„ุด ุงู„
76
+
77
+ 20
78
+ 00:01:37,850 --> 00:01:40,630
79
+ independent variable ุงู„ู…ุชุบูŠุฑ ุงู„ู…ุณุชู‚ู„ ุจูŠุฌูŠ ุนู„ู‰ ุงู„ x
80
+
81
+ 21
82
+ 00:01:40,630 --> 00:01:46,930
83
+ axis ูŠุนู†ูŠ ุงุฐุง ุนู†ุฏูŠ .. ุงู†ุง ุจุญุซ ู…ุซู„ุง ุณุฑุนุฉ
84
+
85
+ 22
86
+ 00:01:46,930 --> 00:01:54,430
87
+ ู…ุน ุฒู…ู†ุงู„ู€ independent variable ู‡ูˆ ุฅูŠุดุŸ ุงู„ T ู„ุงุฒู…
88
+
89
+ 23
90
+ 00:01:54,430 --> 00:02:03,230
91
+ ุฃุญุท ุงู„ูˆุญุฏุงุช second ูˆ ุณุงุนุฉ ุงู„ุตุฑุงุน V meter per
92
+
93
+ 24
94
+ 00:02:03,230 --> 00:02:07,110
95
+ second ุทุจุนุง
96
+
97
+ 25
98
+ 00:02:07,110 --> 00:02:09,510
99
+ ุงู„ labor units in each axis ู‡ูŠุญุทูŠุชูŠ ู†ูุณูŠ in second
100
+
101
+ 26
102
+ 00:02:09,510 --> 00:02:12,930
103
+ ูŠุนู†ูŠ ุฅูŠุด? meter per second
104
+
105
+ 27
106
+ 00:02:16,600 --> 00:02:24,800
107
+ ู„ุฃู† ุนู†ุฏูŠ ู‡ุฐู‡ ุฎุท ู‚ุฑุงุกุงุช ู„ุฃู†
108
+
109
+ 28
110
+ 00:02:24,800 --> 00:02:35,260
111
+ ุจุณุชุนู…ู„ curving ุฃูˆ ุชูˆุตูŠู„ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ line smooth ูˆ
112
+
113
+ 29
114
+ 00:02:35,260 --> 00:02:38,300
115
+ solid ู…ุงูŠูƒูˆู†ุด ู…ุซู„ุง ุฎู…ูŠู„ ูƒุชูŠุฑ ูŠุบุทูŠ ุงู„ุจูŠุงู†ุงุช ู„ุงุฒู…
116
+
117
+ 30
118
+ 00:02:38,300 --> 00:02:40,240
119
+ ุงู„ุจูŠุงู†ุงุช ูƒูˆู†ู‡ุงุด ุธุงู‡ุฑุฉ
120
+
121
+ 31
122
+ 00:02:46,080 --> 00:02:51,880
123
+ Use an appropriate scale for each axis ู…ู†ูุนุด ุฃุนู…ู„
124
+
125
+ 32
126
+ 00:02:51,880 --> 00:03:03,660
127
+ ู‡ุงูŠ variable XY ูˆุงุญุฏ ู…ุซู„ุง ู‡ุงูŠ
128
+
129
+ 33
130
+ 00:03:03,660 --> 00:03:10,340
131
+ ูƒู„ ุงู„ุจูŠุงู†ุงุช ูƒู„ู‡ุง ู…ุฑูƒุฒุฉ ู‡ู„ ุงู„ scale ู‡ุฐุง ู…ู†ุงุณุจุŸ ู„ุฃ
132
+
133
+ 34
134
+ 00:03:10,340 --> 00:03:16,660
135
+ ุฏู‡ ุงุฎุชุงุฑ scale ู…ู†ุงุณุจุงู„ุฌุฑุงูุงุช ู„ุง ูŠุฌุจ ุฃู† ุชุจุฏุฃ ู…ู†
136
+
137
+ 35
138
+ 00:03:16,660 --> 00:03:19,980
139
+ ุตูุฑุŒ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุด ู…ุถุงู„ุฉ ุชุจุฏุฃ ู…ู† ุตูุฑ ูŠุนู†ูŠ ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:03:19,980 --> 00:03:27,520
143
+ ุฃุจุฏุฃ ู‡ุฐู‡ ุชูƒูˆู† ู…ุซู„ุง ู…ู† ุนุดุฑุฉ ู…ุซู„ุง ุญุณุจ ุงู„ variable
144
+
145
+ 37
146
+ 00:03:27,520 --> 00:03:31,400
147
+ all
148
+
149
+ 38
150
+ 00:03:31,400 --> 00:03:34,380
151
+ data must fit on the graph scale ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ุช
152
+
153
+ 39
154
+ 00:03:34,380 --> 00:03:41,630
155
+ ู„ุงุฒู… ุชุงุฎุฏ ูƒู„ scale a keymust provide if there is
156
+
157
+ 40
158
+ 00:03:41,630 --> 00:03:43,870
159
+ more than one in the variable ู…ุซู„ุง ุนู†ุฏูŠ ุฃูƒุชุฑ ู…ู†
160
+
161
+ 41
162
+ 00:03:43,870 --> 00:03:49,370
163
+ variable ู‡ุงูŠ ุนู†ุฏูŠ ู‡ู†ุง ู…ุซู„ุง
164
+
165
+ 42
166
+ 00:03:49,370 --> 00:04:01,150
167
+ ู‡ุงุฏูŠ V ู‡ุงุฏูŠ ู…ุซู„ุง ู‡ุงูŠ ุนู†ุฏูŠ ู…ุซู„ุง
168
+
169
+ 43
170
+ 00:04:01,150 --> 00:04:05,290
171
+ ู‡ุงุฏูŠ ุจุฏูŠ ุฃุนู…ู„ ุฃู†ุง ู‡ุงุฏูŠ ู…ุซู„ุง passenger car
172
+
173
+ 44
174
+ 00:04:10,510 --> 00:04:17,090
175
+ ู‡ุฐู‡ private car ู…ุซู„ุง ุงู„ุชุงู†ูŠุฉ private car ู‡ุฐู‡ ู…ุซู„ุง
176
+
177
+ 45
178
+ 00:04:17,090 --> 00:04:27,630
179
+ ู…ุซู„ุซุงุช ู‡ุฐู‡ ู…ุซู„ุซ buses ูู„ุงุฒู… ุงุนู…ู„ legend ุงูˆ label
180
+
181
+ 46
182
+ 00:04:27,630 --> 00:04:30,710
183
+ ุจุฏู‡
184
+
185
+ 47
186
+ 00:04:30,710 --> 00:04:35,730
187
+ ุงุญุท ุนู„ูˆุงู† ู‡ู†ุง velocity ู…ุซู„ุง
188
+
189
+ 48
190
+ 00:04:39,940 --> 00:04:48,960
191
+ versus time for ู…ุซู„ุง different types
192
+
193
+ 49
194
+ 00:04:48,960 --> 00:05:02,480
195
+ of vehicles ู„ุจุฑูƒุจุงุช ู…ุฎุชู„ูุฉ ุงู„
196
+
197
+ 50
198
+ 00:05:02,480 --> 00:05:05,600
199
+ text ุงู„ุชุฏุฑูŠุฌุงุช
200
+
201
+ 51
202
+ 00:05:09,720 --> 00:05:15,580
203
+ ู…ุซู„ุง ุฏูŠ high time high
204
+
205
+ 52
206
+ 00:05:15,580 --> 00:05:20,940
207
+ time second high velocity meter per second ุฏู…ุงู†
208
+
209
+ 53
210
+ 00:05:20,940 --> 00:05:29,600
211
+ ุฃุฏุฑุฌ ู„ูˆ ูƒู†ุช ุฏูŠ major text ู‡ุงูŠ
212
+
213
+ 54
214
+ 00:05:29,600 --> 00:05:35,960
215
+ ุนุดุฑุฉ ู…ุซู„ุง ุนุดุฑูŠู† ุชู„ุงุชูŠู† ุงุฑุจุนูŠู† ูˆ ููŠู† ุฏูŠ minor text
216
+
217
+ 55
218
+ 00:05:39,120 --> 00:05:49,020
219
+ ูƒู„ู‡ ุจูŠูƒูˆู† ู„ุฌูˆุฉ ุนู†ุฏ ู‡ู†ุง ู…ุซู„ุง ู‡ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ
220
+
221
+ 56
222
+ 00:05:49,020 --> 00:05:56,320
223
+ ุงุฑุจุนุฉ ู…ุซู„ุง ู‡ุฐุง ู‡ุชูƒูˆู† ู…ุงููŠุด
224
+
225
+ 57
226
+ 00:05:56,320 --> 00:06:01,220
227
+ ุงุฏุงุก ุงุญุท ู…ุซู„ุง ุงุฑู‚ุงู… ุงุนู…ู„ ุฒุญู…ุฉ ููŠ ุงู„ุฃุฑู‚ุงู…ู…ู† ุนุงู…ู„
228
+
229
+ 58
230
+ 00:06:01,220 --> 00:06:05,360
231
+ ู‡ูŠุญูƒูŠ ู‡ุฐู‡ ุนุดุฑุฉ ู‡ุฐู‡ ู‡ุชูƒูˆู† ุงูƒูŠุฏ ูˆุงุญุฏ ูˆู„ุง ุงุชู†ูŠู† ุงุชู†ูŠู†
232
+
233
+ 59
234
+ 00:06:05,360 --> 00:06:09,100
235
+ ุงุชู†ูŠู† ุงุฑุจุน ุณุช ู…ู† ุนุดุฑุฉ ูุจุญุท ุนู„ู‰ ุงู„ major text ุจุฑู‚ู…
236
+
237
+ 60
238
+ 00:06:09,100 --> 00:06:17,700
239
+ ุจุณ ุจุญุทุด ุฃุฑู‚ุงู… ูƒุชูŠุฑ ุจูŠุตูŠุฑ ุฒุญู…ุฉ ูˆ ุจูŠุตูŠุฑ ุตุนุจุฉ ุงู„ู‚ุฑุงุฉ
240
+
241
+ 61
242
+ 00:06:17,700 --> 00:06:23,360
243
+ ุงู„ู„ูŠ ู‡ู†ุดูˆู ุฃู†ูˆุงุน ุงู„ chart types ุฃู†ูˆุงุนู‡ุง ุงูˆู„ ุงู† ู‡ูˆ
244
+
245
+ 62
246
+ 00:06:23,360 --> 00:06:27,550
247
+ ุนู†ุฏูŠ ุงู„ columnุฎู„ู‘ู‚ ู‡ูˆ ุงู„ column .. ูู‰ ู†ุงุณ ูŠุณู…ูˆู†ู‡
248
+
249
+ 63
250
+ 00:06:27,550 --> 00:06:30,910
251
+ column bar graph ุจุณ ู‡ูˆ ุฃุฏู‚ ู‡ุฐุง column ุงู„ column
252
+
253
+ 64
254
+ 00:06:30,910 --> 00:06:36,270
255
+ ุจูŠูƒูˆู† ุงู„ data vertical ู‡ุฐุง column ุงู„ bar ุจูŠูƒูˆู†
256
+
257
+ 65
258
+ 00:06:36,270 --> 00:06:40,930
259
+ ุฃูŠุดุŸ ุฃูู‚ูŠุŒ ู‡ู†ุด ุจุนุฏ ุดูˆูŠุฉุŒ ู‡ุฐุง column chart ุจุณ ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:06:40,930 --> 00:06:45,950
263
+ ู‡ูŠ number of studentsุนู†ุฏูŠ .. ุนู†ุฏูŠ ู‡ู†ุง ููŠ .. ููŠ ูˆู„ุง
264
+
265
+ 67
266
+ 00:06:45,950 --> 00:06:50,470
267
+ .. ููŠ ุทู„ุงุจ ุจูŠู„ุนุจูˆุง ูƒุฑุฉ ู‚ุฏู… ููŠ ุฃุณุจุงุญุฉ ุจ .. ู‡ุฐุง ุงู„
268
+
269
+ 68
270
+ 00:06:50,470 --> 00:06:53,570
271
+ football .. ู‡ุฐุง ุงู„ football ุงู„ุฃู…ุฑูŠูƒูŠ ู‡ุฐุง swimming
272
+
273
+ 69
274
+ 00:06:53,570 --> 00:06:57,410
275
+ ุฃุณุจุงุญุฉ ููŠ ุงู„ soccer ู‡ูŠ ูƒุฑุฉ ู‚ุฏู… ุจุชุงุนุชู†ุง ููŠ ุนู†ุฏ ุงู„
276
+
277
+ 70
278
+ 00:06:57,410 --> 00:07:00,170
279
+ ice hockey ู„ุนุจุฉ ุงู„ hockey ูˆ ููŠ ุนู†ุฏูƒ ุงู„ baseball
280
+
281
+ 71
282
+ 00:07:00,170 --> 00:07:04,650
283
+ ูููŠ ุนู†ุฏูŠ ูŠุนู†ูŠ ุจูŠู„ุนุจูˆุง ุงู„ football ุชู„ุช ุทู„ุงุจ ุจูŠู„ุนุจูˆุง
284
+
285
+ 72
286
+ 00:07:04,650 --> 00:07:11,270
287
+ ุงู„ football ูˆ ุงุชู†ูŠู† ุจูŠุญุจูˆุง ุงู„ุฃุณุจุงุญุฉ ูˆ ุฎู…ุณุฉ ุจูŠุญุจูˆุง
288
+
289
+ 73
290
+ 00:07:11,270 --> 00:07:18,660
291
+ ุงู„ soccerูˆ ุงู„ู‡ูˆูƒูŠ ูˆุงุญุฏ ูˆ ุงู„ุจูŠุณุจูˆู„ ุงุฑุจุน ู„ู…ุง ุชุดุจุน
292
+
293
+ 74
294
+ 00:07:18,660 --> 00:07:24,980
295
+ ุชู„ุงุชุฉ ูˆ ุงุชู†ูŠู† ุฎู…ุณุฉ ุฎู…ุณุฉ ุนุดุฑุฉ ุนุดุฑุฉ ูˆุงุญุฏ ุงุญุฏุงุด ูˆ
296
+
297
+ 75
298
+ 00:07:24,980 --> 00:07:31,480
299
+ ุงุฑุจุน ุฎู…ุณุงุด ุทุงู„ุจ ูุงู†ุง ุนุงู…ู„ bar chartbar chart ุงู„ x
300
+
301
+ 76
302
+ 00:07:31,480 --> 00:07:35,280
303
+ -axis ู‡ู†ุง ุงู†ุฏูŠ ุนูŠุงุด ุงู„ู†ูˆุน ุงู„ sport ูŠุนู†ูŠ ู‡ูˆ ู„ุงุญุธูˆุง
304
+
305
+ 77
306
+ 00:07:35,280 --> 00:07:38,820
307
+ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ุณู…ูŠ ุงู„ x-axis ุงู„ sport ูˆ ุงู„ y-axis
308
+
309
+ 78
310
+ 00:07:38,820 --> 00:07:42,260
311
+ number of students ู…ุงููŠุด ู‡ู†ุง ูˆุงุญุฏุฉ ูุนู…ู„ู‡ ู‡ู†ุง ูˆุงุญุฏ
312
+
313
+ 79
314
+ 00:07:42,260 --> 00:07:46,120
315
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ู„ุงุญุธูˆุง ููŠ ุนู†ุฏูŠ ู‡ู†ุง ู‡ุฐุง ู‡ูˆ
316
+
317
+ 80
318
+ 00:07:46,120 --> 00:07:52,380
319
+ ุงู„ bar ุงู„ุขู† ู‡ูˆ ู…ุนุทูŠ ุฃู„ูˆุงู† ู…ุฎุชู„ูุฉ ุฑู‚ู… ูˆุงุญุฏ ูˆ ุจุนุฏูŠู†
320
+
321
+ 81
322
+ 00:07:52,380 --> 00:07:58,320
323
+ ุงุนู…ู„ label ุงุฐุง ุนู…ู„ุช ู‡ุฐุง ุจุฏูˆู† ุงู„ label ู‡ุฐุง ู…ุด ู‡ูู‡ู…
324
+
325
+ 82
326
+ 00:08:00,130 --> 00:08:05,930
327
+ ุงู„ู„ูŠ ู‡ูˆ title sports played ู„ุญุธุฉ ุนู†ุฏูƒ ู‡ุฐู‡ major
328
+
329
+ 83
330
+ 00:08:05,930 --> 00:08:12,710
331
+ ู‡ุฐุง minor ุงุฎู ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ column chart ุงูˆ column
332
+
333
+ 84
334
+ 00:08:12,710 --> 00:08:16,590
335
+ graph ูุนู†ุฏูŠ
336
+
337
+ 85
338
+ 00:08:16,590 --> 00:08:22,150
339
+ ุงู„ู„ูŠ ู‡ูˆ line graph line graph ุนู†ุฏู‡ุง ู†ู…ุงุดูŠ ุงู„
340
+
341
+ 86
342
+ 00:08:22,150 --> 00:08:29,140
343
+ monthly population ุนู„ู‰ ุงู„ X ุฑูƒุฒ ุญุงุทุฉ ุงู„ุดู‡ุฑู‡ู†ุง ูˆุงุญุฏ
344
+
345
+ 87
346
+ 00:08:29,140 --> 00:08:32,220
347
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุนุดุฑ
348
+
349
+ 88
350
+ 00:08:32,220 --> 00:08:37,260
351
+ ุงุญุฏุงุด ุงุชู†ุงุด ุทุจุนุง
352
+
353
+ 89
354
+ 00:08:37,260 --> 00:08:42,980
355
+ ูŠุนู†ูŠ ุงู†ุง .. ูŠุนู†ูŠ ุงู†ุง ุทุจุนุง ู‡ุญุทู‡ ุจุงู„ุนู…ุฏุฉ ูŠุนู†ูŠ ู‡ุฐุง
356
+
357
+ 90
358
+ 00:08:42,980 --> 00:08:49,680
359
+ ุงู†ุง ุจุตู†ูู‡ ูŠุนู†ูŠ ุณูŠุก ุงู„ graph ู‡ุฐุง ูŠุนู†ูŠ ุงู„ text ุจุชุงุนุฉ
360
+
361
+ 91
362
+ 00:08:49,680 --> 00:08:57,240
363
+ ุงู„ month ู…ุด ูˆุงุถุญุฉ ุงู†ุง ุจูุถู„ ุฃุญุท text ูˆุงุถุญุฉ ุทุจุนุง ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:08:57,240 --> 00:09:00,950
367
+ ุงู„ู†ู‚ุงุชุงู„ู€ line graph ุจูŠู† ูƒู„ ู†ู‚ุทุฉ ูˆ ู†ู‚ุทุฉ ุจูˆุงุณุทุฉ ููŠู‡
368
+
369
+ 93
370
+ 00:09:00,950 --> 00:09:05,410
371
+ ุฎุท ุนุดุงู† ูŠุณู…ูˆู‡ line graph ููŠู‡ ู„ุนู†ูˆุงู† monthly
372
+
373
+ 94
374
+ 00:09:05,410 --> 00:09:10,690
375
+ population ูˆ ููŠู‡ ู„ุนู†ูˆุงู† horizontal axis ุงู„ month
376
+
377
+ 95
378
+ 00:09:10,690 --> 00:09:13,850
379
+ ูŠุนู†ูŠ
380
+
381
+ 96
382
+ 00:09:13,850 --> 00:09:18,290
383
+ ู‡ูˆ ูƒุงุชุจ months ุงู„ุฃุดู‡ุฑ ูŠุนู†ูŠ ู‡ุฐุง ุฎู„ุท ุฎุทุฉ ู„ุบูˆูŠ
384
+
385
+ 97
386
+ 00:09:18,290 --> 00:09:25,270
387
+ ู…ุงุชุชุจุฑู‡ูŠุงุด month ุนู†ุฏูƒ ุงู„ populationู„ูˆ ูƒุงู†ุช ู…ุงุถูŠ
388
+
389
+ 98
390
+ 00:09:25,270 --> 00:09:30,110
391
+ ุฃุญูŠุงู† ุงู„ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ ูƒุชูŠุฑ ู…ุซู„ุง ุฎู…ุณ ู…ู„ูŠูˆู†๏ฟฝ๏ฟฝ ุณุช ู…ู„ูŠูˆู†ุŒ
392
+
393
+ 99
394
+ 00:09:30,110 --> 00:09:33,150
395
+ ุจุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ scientific notation .. scientific
396
+
397
+ 100
398
+ 00:09:33,150 --> 00:09:38,530
399
+ notation ุฃูˆ ุจูƒุชุจ ู…ุซู„ุง ู…ู„ุงุญุธุฉ population is in
400
+
401
+ 101
402
+ 00:09:38,530 --> 00:09:43,850
403
+ millions or in thousands or in hundreds ุจูƒูˆู† ูƒุฐู„ูƒ
404
+
405
+ 102
406
+ 00:09:43,850 --> 00:09:46,230
407
+ ุจูƒูˆู† ุฃุนุฑู ุฅู† ู‡ุฐุง ุญุถูˆุฑ ุจุญุซ ู…ุซู„ุง ููŠ ู…ู„ูŠูˆู† ุฃูˆ ููŠ ู…ุฆุฉ
408
+
409
+ 103
410
+ 00:09:46,230 --> 00:09:59,000
411
+ ุฃู„ู ุฃูˆ ููŠ ุฃู„ูู‡ุฐุง ู‡ูˆ line graph ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ุงู„
412
+
413
+ 104
414
+ 00:09:59,000 --> 00:10:03,060
415
+ pie chart ู‡ุฐุง
416
+
417
+ 105
418
+ 00:10:03,060 --> 00:10:05,980
419
+ ุงู„ pie chart ูˆุฒูŠู†ูŠ .. ูˆุงุฑุฌูŠู†ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุนุฑู‚ูŠ
420
+
421
+ 106
422
+ 00:10:05,980 --> 00:10:13,900
423
+ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช ุงู„ู…ุชุญุฏุฉ ุฃูˆู„ ุงู„ุดูŠุก ุงูˆู„ ุดูˆ ู‡ูˆ it
424
+
425
+ 107
426
+ 00:10:13,900 --> 00:10:19,220
427
+ is a pie chart like is it a good one or bad oneุฃูˆ
428
+
429
+ 108
430
+ 00:10:19,220 --> 00:10:22,020
431
+ ุจุฏูŠุด ุงุญูƒูŠ ุจุนุฏ ุงูŠุด ุงู„ missing ููŠ ุงู„ chart ู‡ุฐุง
432
+
433
+ 109
434
+ 00:10:22,020 --> 00:10:28,200
435
+ ุงู„ุนู†ูˆุงู†
436
+
437
+ 110
438
+ 00:10:28,200 --> 00:10:31,600
439
+ ุงุฎุฑูˆู†
440
+
441
+ 111
442
+ 00:10:31,600 --> 00:10:35,820
443
+ ุงูƒุชุจ ethnic ethnic groups distribution in the
444
+
445
+ 112
446
+ 00:10:35,820 --> 00:10:39,640
447
+ united states ุชูˆุฒูŠุฉ ุงู„ู‚ุฑู‚ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช
448
+
449
+ 113
450
+ 00:10:39,640 --> 00:10:42,120
451
+ ุงู„ู…ุชุญุฏุฉ ุงูŠู‡ ุงู„ุนู†ูˆุงู† ุงู†ุง ุงู†ุงู ุชูˆุฒูŠุฉ ุงู„ู‚ุฑู‚ ู…ู† ุงู„ ..
452
+
453
+ 114
454
+ 00:10:42,120 --> 00:10:46,260
455
+ ู…ู† ุงู„ legend ู‡ุฐุง ุงู„ู„ูŠ ู‡ุงู†ูƒุงุชุจ ุงู†ู‡ ู‡ุงุฏ Hispanic ู‡ุงุฏ
456
+
457
+ 115
458
+ 00:10:46,260 --> 00:10:50,240
459
+ ู…ู† ุฃุตูˆู„ ุฃุณุจุงู†ูŠุฉููŠ ุงู„ white ุงู„ุจูŠุถ ููŠ ุงู„ African
460
+
461
+ 116
462
+ 00:10:50,240 --> 00:10:53,660
463
+ American ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุฃุตูˆู„ ุฃูุฑูŠู‚ูŠุฉ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
464
+
465
+ 117
466
+ 00:10:53,660 --> 00:10:57,480
467
+ ุงู„ American Indians ุงู„ู„ูŠ ู‡ู… ุงู„ุญู…ุฑ ุงู„ู„ูŠ ู‡ู… ู‡ุฐู‡
468
+
469
+ 118
470
+ 00:10:57,480 --> 00:11:01,860
471
+ ุจุนุฏูŠู† ููŠ ุนู†ุฏูŠ ุงู„ Asian Pacific ู…ู† ุฃุตูˆู„ ุงู„ุดุฑู‚ ..
472
+
473
+ 119
474
+ 00:11:01,860 --> 00:11:07,700
475
+ ุงู„ุดุฑู‚ ุฃุณูŠุง ูˆ ููŠ ุนู†ุฏูŠ ุงู„ุนุฑู‚ูŠุงุช ุงู„ุชุงู†ูŠุฉ others ูู‡ุฐุง
476
+
477
+ 120
478
+ 00:11:07,700 --> 00:11:13,320
479
+ by a chart ูŠุนู†ูŠ it is good enough ู„ูƒู† ุงู„ู…ุดูƒู„ุฉ ุฃู†ู‡
480
+
481
+ 121
482
+ 00:11:13,320 --> 00:11:15,360
483
+ ู…ุด ุญุงุทุท title ู„ู„igraph
484
+
485
+ 122
486
+ 00:11:20,010 --> 00:11:23,430
487
+ ูุงู†ุฏูŠ ุงู„ bar graph ุงู„ bar ุบูŠุฑ column ุจูŠูƒูˆู† ุงูŠู‡ ุงุดุŸ
488
+
489
+ 123
490
+ 00:11:23,430 --> 00:11:32,010
491
+ horizontal ุนู†ุฏูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู„ูˆุงู† ABC sales record
492
+
493
+ 124
494
+ 00:11:32,010 --> 00:11:35,290
495
+ ABC sales record ุทุจุนุง ููŠ ุญุงู„ุฉ ุงุฐุง ุจุญูƒูŠ records
496
+
497
+ 125
498
+ 00:11:35,290 --> 00:11:41,710
499
+ ุฏุงูŠู…ุง ุจุงุถุญ ู…ู…ูƒู† ุงุนู…ู„ ุงู† ุงู†ุง ู…ุชุญุฑูƒ ู…ุชุจุนุช
500
+
501
+ 126
502
+ 00:11:41,710 --> 00:11:45,770
503
+ ูˆ ุฃุณู„ ู…ุง ูŠุทู„ุน ูŠู†ุฒู„ ุฒูŠ ู‡ูŠูƒ ูˆุงุถุญุŸ
504
+
505
+ 127
506
+ 00:11:46,500 --> 00:11:49,740
507
+ ู„ุฃู†ู‡ ููŠ ุงู„ height ุงุฐุง ุจูŠุตูŠ ุจูŠุนู„ู‚ ูƒุชูŠุฑ ูˆ ุจุฏูƒ ุงู†ุช ..
508
+
509
+ 128
510
+ 00:11:49,740 --> 00:11:53,060
511
+ ูŠุนู†ูŠ ุชุฎูŠู„ ุงู†ุช ู…ุฑุชุจุท ููŠ ูƒูŠู ุงู†ุช ุจุชุญุฑูƒ ุฌุณู…ูƒ ูˆ ูƒูŠู
512
+
513
+ 129
514
+ 00:11:53,060 --> 00:11:56,700
515
+ ุชุทู„ุน ุนู„ูŠู‡ ู sales ูƒุชูŠุฑ ุตุงุฑุช ู…ุชุดุงุฑุฒุฉ ู‡ูŠูƒ ุนู„ู‰ ุงู„ net
516
+
517
+ 130
518
+ 00:11:56,700 --> 00:12:01,800
519
+ ู…ุซู„ุง ู…ุจูŠุนุงุช ุงู„ .. ุงู„ .. ู…ุจูŠุนุงุช ุงู„ุดุฑูƒุงุช ุงู„ .. ุงู„ ..
520
+
521
+ 131
522
+ 00:12:01,800 --> 00:12:06,320
523
+ ููŠ ุงู„ุชูƒู†ูˆู„ูˆุฌูŠุง ุงู„ .. ู…ุซู„ุง ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
524
+
525
+ 132
526
+ 00:12:06,320 --> 00:12:12,400
527
+ apple ุงู„ .. ุงู„ Samsung ุงู„ LG ูˆ ู‡ูƒุฐุง ูู‡ุฐุง part
528
+
529
+ 133
530
+ 00:12:12,400 --> 00:12:19,640
531
+ chartูŠุนู†ูŠ ุงู„ ABC sales record ู…ูˆุฒู‘ูŠู‡ุง ู„ู…ู†ุงุทู‚ ููŠ
532
+
533
+ 134
534
+ 00:12:19,640 --> 00:12:27,700
535
+ NorthุŒ ุดู…ุงู„ ูˆ ุฃุชูˆุงุชุฑ ุงุชุญุฏุฉุŒ ุฌู†ูˆุจุŒ ุดุฑู‚ุŒ ุบุฑุจุŒ ุงู„ุขู†
536
+
537
+ 135
538
+ 00:12:27,700 --> 00:12:38,600
539
+ ูŠุนู†ูŠ ุงู„ XX ู…ุด ูˆุงุถุญ ุฅูŠุด ู‡ูˆ ู‡ุฐุง ุงู„ุฏูˆู„ุงุฑ ูŠูˆุฑูˆ pound
540
+
541
+ 136
542
+ 00:12:38,600 --> 00:12:46,480
543
+ ูŠู†ู‡ุฐู‡ ู…ุซู„ุง ุฃู„ู ุฃู„ู ูˆู„ุง ุฃู„ู ู…ู„ูŠูˆู† ูุงู„ label ู‡ูŠูƒ ู…ุด
544
+
545
+ 137
546
+ 00:12:46,480 --> 00:12:52,360
547
+ ูˆุงุถุญ ุงู„ x axis ูˆุญุชู‰ ู‡ู†ุง ุงู„ .. ูŠุนู†ูŠ ุงู„ ab sales
548
+
549
+ 138
550
+ 00:12:52,360 --> 00:12:57,360
551
+ record ูˆูŠู†ุŸ
552
+
553
+ 139
554
+ 00:12:57,360 --> 00:13:06,100
555
+ ูˆูŠู†ุŸ ููŠ ุงู„ุตูŠู† ูˆู„ุง ููŠ ุงู„ุนุงู„ู… ูˆู„ุง ููŠ ุจุฑูŠุทุงู†ูŠุง ูˆู„ุง ููŠ
556
+
557
+ 140
558
+ 00:13:06,100 --> 00:13:10,990
559
+ ุงู„ูŠุงุจุงู† ู…ุด ูŠุนู†ูŠ ุงู„ุนู†ูˆุงู† ู…ุด .. ู…ุด .. ู…ุด ูˆุงุถุญุทุจุนุง
560
+
561
+ 141
562
+ 00:13:10,990 --> 00:13:17,790
563
+ ู‡ู†ุง .. ู‡ู†ุง ุงู„ year ู…ู…ูƒู† ุชุญูƒูŠ a b sales record in
564
+
565
+ 142
566
+ 00:13:17,790 --> 00:13:26,350
567
+ china for the years from 2013 to 2016 ุงู‡ ุงู„ู…ู†ูˆุงู†
568
+
569
+ 143
570
+ 00:13:26,350 --> 00:13:31,590
571
+ ู…ุด ูˆุงุถุญ ุงู„ x axis ุงู„ units ุจุชุงุนุชู‡ ู…ุด .. ู…ุด ูˆุงุถุญุฉ
572
+
573
+ 144
574
+ 00:13:31,590 --> 00:13:33,890
575
+ ุงู‡ ูููŠ ูƒุฐุง ู…ุดูƒู„ุฉ
576
+
577
+ 145
578
+ 00:13:37,410 --> 00:13:41,490
579
+ ููŠ ุนู†ุฏ ุงู„ area chart ุงู†ู‡ ุจุนุจูŠ ุงู„ู…ุณุงุญุฉ area ุงู„
580
+
581
+ 146
582
+ 00:13:41,490 --> 00:13:47,710
583
+ chart ุฎู„ู‘ูŠู†ูŠ ุงุทู„ุน ู‡ู†ุง
584
+
585
+ 147
586
+ 00:13:47,710 --> 00:13:52,930
587
+ ุจุฑุถู‡ ููŠ ู…ุดูƒู„ุฉ ููŠ ุงู„ year ุงูƒุชุจ ุงู„ year ู„ู„ x axis
588
+
589
+ 148
590
+ 00:13:52,930 --> 00:13:58,650
591
+ ุงู†ุง ูุงู‡ู… ุงู„ year ุจุณ ู‡ุฐุง 1750 1800 1850 1900 ุงู„ุงู†
592
+
593
+ 149
594
+ 00:13:58,650 --> 00:14:07,020
595
+ ู…ุงุชุฎู„ูŠุด ููŠ ุงู„ graphing ุงู„ู‚ุงุฑุฆ ูŠุณุชู†ุชุฌ ุงูŠุด ุจุชู‚ุตุฏุฃู†ุง
596
+
597
+ 150
598
+ 00:14:07,020 --> 00:14:11,780
599
+ ู…ุงู„ูŠุด ุงู†ุช ุงูŠุด ุจุชููƒุฑุŒ ุงูŠู‡ ุงู†ุง ููŠ ุงู„ู„ูŠ ุดุงูŠูู‡ุŸ ูŠู…ูƒู†
600
+
601
+ 151
602
+ 00:14:11,780 --> 00:14:18,100
603
+ ู‡ุฐู‡ ุงู„ููŠู† ูˆ ุฎู…ุณูŠู† ู‚ุทุนุฉุŒ
604
+
605
+ 152
606
+ 00:14:18,100 --> 00:14:21,240
607
+ ู…ุธุจูˆุทุŸ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ู‡ุฐู‡ ู‚ุทุนุฉุŒ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ
608
+
609
+ 153
610
+ 00:14:21,240 --> 00:14:27,980
611
+ ูŠุญูƒูŠ ุณู†ุฉุŒ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ุทู† historic and
612
+
613
+ 154
614
+ 00:14:27,980 --> 00:14:32,750
615
+ estimated worldwide population growth by regionby
616
+
617
+ 155
618
+ 00:14:32,750 --> 00:14:37,590
619
+ region ู‡ูˆ ู…ุงุฎุฏ ุทุจุนุง different regions ู…ุน ู…ุงุฎุฏ Asia
620
+
621
+ 156
622
+ 00:14:37,590 --> 00:14:48,750
623
+ ูˆ Africa ูˆ Europe ูˆ America ูˆ ูˆุดูŠู†ูŠุง ุฎู…ุณ ู…ู†ุงุทู‚ ู‡ุฐุง
624
+
625
+ 157
626
+ 00:14:48,750 --> 00:14:52,330
627
+ ุจูŠุณู…ู‰ area plot ุงูˆ area graph ุงูˆ area chart
628
+
629
+ 158
630
+ 00:15:02,440 --> 00:15:07,880
631
+ ู…ู…ูƒู† ู‡ูŠ ุชุญูƒูŠ population in billions, billions is
632
+
633
+ 159
634
+ 00:15:07,880 --> 00:15:11,700
635
+ not an axis title, billions unit
636
+
637
+ 160
638
+ 00:15:17,020 --> 00:15:21,840
639
+ ุนู†ุฏูŠ XY scatter ุจูŠุฎุชู„ู ุนู† ุงู„ line plot ุงู† ุงู„ data
640
+
641
+ 161
642
+ 00:15:21,840 --> 00:15:26,820
643
+ ูƒู…ุง ู‡ูŠ ู…ูˆุงุตู„ุด ุจูŠู†ู‡ุง ู‡ุฐุง XY scatter ู‡ุงูŠ ุงู„ X axis
644
+
645
+ 162
646
+ 00:15:26,820 --> 00:15:32,380
647
+ ูˆู‡ูŠ ุงู„ Y axis ู‡ู†ุง ุทุงู„ ุนู†ูˆุงู† ู‡ู†ุง revenue versus
648
+
649
+ 163
650
+ 00:15:32,380 --> 00:15:37,660
651
+ ุงู„ุนูŠุฏุงุช customer satisfaction ูŠุนู†ูŠ ู‡ุงูŠ ุงู„
652
+
653
+ 164
654
+ 00:15:37,660 --> 00:15:40,780
655
+ customers ูƒู„ ู…ุง ุจุชุฑุถูŠ ุงู„ุฒุจูˆู† ุฃูƒุชุฑ ูƒู„ ู…ุง ุจูŠุฌูŠูƒ
656
+
657
+ 165
658
+ 00:15:40,780 --> 00:15:45,400
659
+ ุนูŠุฏุงุช ุฃูƒุชุฑ ูุงู„ู…ูุฑูˆุถ ู‡ู†ุง ูŠุญูƒูŠุด ู…ุด ูŠุญุท ุงู„ุนู†ูˆุงู† ู‡ู†ุง
660
+
661
+ 166
662
+ 00:15:47,100 --> 00:15:51,400
663
+ ู‡ู†ุง ู„ุฏูŠ ุงู„ customer satisfaction ูˆู‡ู†ุง ุงู„ุฑุจูŠุน ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:15:51,400 --> 00:16:01,380
667
+ ุจุงู„ุนูƒุณ ู‡ูˆ ู‚ุนุฏุช ุงู„ุนู†ูˆุงู† ุบู„ุท ุนู†ุฏู‡ ุตุญุŸ ู…ุนูƒูˆุณ customer
668
+
669
+ 168
670
+ 00:16:01,380 --> 00:16:04,780
671
+ satisfaction versus revenue ู„ุฃู† ุงู„ revenue ุญุทูˆ
672
+
673
+ 169
674
+ 00:16:04,780 --> 00:16:09,500
675
+ ุนู„ูŠู‡ ุน ุงู„ x axis ู„ุฃู† ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ุญูƒูŠ ู‡ูŠูƒ ุงูุชุฑุถุช ุงู†
676
+
677
+ 170
678
+ 00:16:09,500 --> 00:16:13,590
679
+ ุงู„ customer satisfaction ู‡ู†ุงู„ูƒู† ู‡ูˆ ุนุงู…ู„ ุงู„ุนูƒุณ ู‡ุฐุง
680
+
681
+ 171
682
+ 00:16:13,590 --> 00:16:19,070
683
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ customer satisfaction versus
684
+
685
+ 172
686
+ 00:16:19,070 --> 00:16:24,230
687
+ revenue ูˆู‡ูŠู† ุงูƒุชุจ ู„ู‡ูŠู† ุงู„ revenue ูˆู‡ูŠู† ุงู„ customer
688
+
689
+ 173
690
+ 00:16:24,230 --> 00:16:30,030
691
+ satisfaction index
692
+
693
+ 174
694
+ 00:16:30,030 --> 00:16:34,090
695
+ ูุจุฏู‡ุง ุชู†ุชุจู‡ูˆุง ู„ู„ุชูุงุตูŠู„ ู‡ุฐู‡
696
+
697
+ 175
698
+ 00:16:40,160 --> 00:16:42,640
699
+ ูุนู†ุฏู†ุง surface plot surface plot ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูŠูƒูˆู†
700
+
701
+ 176
702
+ 00:16:42,640 --> 00:16:46,560
703
+ ุนู†ุฏูŠ a dependent variable is a function of two
704
+
705
+ 177
706
+ 00:16:46,560 --> 00:16:50,480
707
+ independent variables ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ุซู„ู‹ุง ุงุนุชุจุฑุชู‡ุง ุฏูŠ
708
+
709
+ 178
710
+ 00:16:50,480 --> 00:17:00,120
711
+ ู‡ุฐุง ุงู„ู…ุญูˆุฑ z ูˆ ู‡ุฐุง y ู‡ุฐุง
712
+
713
+ 179
714
+ 00:17:00,120 --> 00:17:07,320
715
+ x ูˆ ู‡ุฐุง z ู‡ุฐุง ุดูƒู„ู‡ ุนู„ู‰ ุงู„ู…ุซู„ ู…ุนู…ูˆู„ ู‡ุฐุง ุงุณู…ู‡
716
+
717
+ 180
718
+ 00:17:07,320 --> 00:17:09,020
719
+ surface plot
720
+
721
+ 181
722
+ 00:17:11,010 --> 00:17:19,470
723
+ ูŠุนู†ูŠ ู…ุด ุญุงุทุท labels ุตุญุŸ ู…ููŠุด ุญุงุทุท title ุตุญุŸ ุงู„ุขู†
724
+
725
+ 182
726
+ 00:17:19,470 --> 00:17:25,350
727
+ ู‡ูˆ ุนุงู…ู„ labeling ู„ู„ .. ุงู„ู„ุญุธุฉ ูˆ ุฃู†ุง ุนู†ุฏูŠ ุฒุญู…ุฉ ููŠ
728
+
729
+ 183
730
+ 00:17:25,350 --> 00:17:32,390
731
+ ุงู„ labeling ุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุญุฌู… ุงู„ุฎุท ุฃุตุบุฑ ุดูˆูŠุฉุนุดุงู†
732
+
733
+ 184
734
+ 00:17:32,390 --> 00:17:36,330
735
+ ู…ุงูŠุตูŠุฑุด .. ูŠุนู†ูŠ ููŠ ุฒุญู…ุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ุŒ ู‡ูŠู† ู…ุงุดูŠ
736
+
737
+ 185
738
+ 00:17:36,330 --> 00:17:43,530
739
+ ุญุงู„ู‡ุŒ ู…ุงููŠุด title .. ู…ุงููŠุด title ุนู†ุฏูŠุŒ ู†ุนู…ุŸ ูƒู„ู…ุฉ
740
+
741
+ 186
742
+ 00:17:43,530 --> 00:17:50,710
743
+ ุจุชุงุนุฉ ุชู‚ูˆู„ูƒ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ูˆุฑุงูƒุŸ ู„ุฃ ู‡ูˆ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุงู„
744
+
745
+ 187
746
+ 00:17:50,710 --> 00:17:54,110
747
+ Z ูŠุธู‡ุฑ ูƒุงู† ุนุดุงู† ุชูˆุฒูŠุน ู„ู„ุฃู„ูˆุงู†ุŒ ุฎุงุฑุทุฉ ุงู„ุฃู„ูˆุงู†
748
+
749
+ 188
750
+ 00:17:56,740 --> 00:18:00,020
751
+ ู…ู…ูƒู† ุฅุฐุง ูƒุงู†ุช ุชุชุนุจุฑ ู…ุซู„ุง ุนู† magnetic field ุฃูˆ
752
+
753
+ 189
754
+ 00:18:00,020 --> 00:18:02,140
755
+ stress distribution ุฃูˆ ุดูŠุก ุฒูŠ ุฐู„ูƒ ู…ู…ูƒู† ู†ุนู…ู„ู‡ุง
756
+
757
+ 190
758
+ 00:18:02,140 --> 00:18:04,520
759
+ ุฃู„ูˆุงู† ุจุณ ู‡ูˆ ุจุบุถ ุงู„ู†ุธุฑ ู‡ูˆ ุจูŠุญูƒูŠ ุนู† z variable
760
+
761
+ 191
762
+ 00:18:04,520 --> 00:18:11,940
763
+ ูุงู„ุฃู„ูˆุงู†ู‡ุง ุฏู‡ ุจุณ visual ุนุดุงู† ุชุดูˆู ุชุชู…ูŠุฒ ุงู„ุงุดูŠ ููŠ
764
+
765
+ 192
766
+ 00:18:11,940 --> 00:18:19,540
767
+ ุงู„ combo plot ุงู„ combo plot ูŠุนู†ูŠ ุงุณู…ู‡ combo ูŠุนู†ูŠ
768
+
769
+ 193
770
+ 00:18:19,540 --> 00:18:22,620
771
+ ุจุญุท ุฃูƒุชุฑ ู…ู† ุดุบู„ุฉ ุนู„ู‰ ู†ูุณ ุงู„ graph ุจุฃูƒุชุฑ ู…ู† ุทุฑูŠู‚ุฉ
772
+
773
+ 194
774
+ 00:18:22,620 --> 00:18:24,400
775
+ ุชุนุจูŠุฑูŠุฉ ุฃูƒุชุฑ ู…ู† ุงู„ graph ู…ุซู„ุง
776
+
777
+ 195
778
+ 00:18:29,770 --> 00:18:34,130
779
+ ุนู†ุฏ ุงู„ุฎุท ู‡ุฐุง ููŠ ุนู†ุฏูŠ ุงู„ุนู†ูˆุงู† firm billable hours
780
+
781
+ 196
782
+ 00:18:34,130 --> 00:18:38,790
783
+ and revenue collections for the year ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
784
+
785
+ 197
786
+ 00:18:38,790 --> 00:18:42,510
787
+ ุงู„ firm ู‡ุฐุง ู‡ูˆ ุงู„ firm billable hours ู‡ุฐุง curve
788
+
789
+ 198
790
+ 00:18:42,510 --> 00:18:49,250
791
+ ุฅูŠุด ู…ุงู„ู‡ line chart line chart ุงู„ุขู† revenue
792
+
793
+ 199
794
+ 00:18:49,250 --> 00:18:52,010
795
+ collections for the year ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ bar
796
+
797
+ 200
798
+ 00:18:52,010 --> 00:18:55,970
799
+ ูŠุนู†ูŠ ุญุงุทุท ุชู…ุงู…ุง ุงู„ graph ุนู„ู‰ ู†ูุณ ุงู„ graph ุญุงุทุท bar
800
+
801
+ 201
802
+ 00:18:55,970 --> 00:19:00,850
803
+ chartู…ุน linear chart ุงูˆ ุงูŠ ู†ูˆุน ูŠุนู†ูŠ ุงุญุท ุงูƒุชุฑ ู…ู†
804
+
805
+ 202
806
+ 00:19:00,850 --> 00:19:04,390
807
+ ู†ูˆุน ู…ู† ุงู„ charts ุนู„ู‰ ู†ูุณ ุงู„ graph ุนุดุงู† ุงุณู…ู‡ combo
808
+
809
+ 203
810
+ 00:19:04,390 --> 00:19:13,510
811
+ combo ูŠุนู†ูŠ collection ุจุนุถ
812
+
813
+ 204
814
+ 00:19:13,510 --> 00:19:19,990
815
+ ุงุญูŠุงู† ู…ู…ูƒู† ุชุญุท ุงู„ ุงู„ units ุนู„ู‰ ุงู„ุฌู‡ุชูŠู† ุจุชุณู‡ู„
816
+
817
+ 205
818
+ 00:19:19,990 --> 00:19:27,390
819
+ ุงู„ู‚ุฑุงุนุฉ ู…ู…ูƒู† ุชุญุทู‡ุง up up and down up and down
820
+
821
+ 206
822
+ 00:19:30,870 --> 00:19:34,090
823
+ ุงู„ู€ firm revenues ูŠุนู†ูŠ ููŠ ุฎู„ู„ .. ุงูŠุด ุงู„ุฎู„ู„ ููŠ ู‡ุฐุง
824
+
825
+ 207
826
+ 00:19:34,090 --> 00:19:44,210
827
+ ุงู„ chartุŸ
828
+
829
+ 208
830
+ 00:19:44,210 --> 00:19:51,950
831
+ ุงู‡ ุงู„ุงู† ููŠ ุงู„ุชุณู…ูŠุฉ ุนู†ุฏู‡ firm billable awards ูˆุงุถุญ
832
+
833
+ 209
834
+ 00:19:51,950 --> 00:19:56,610
835
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ awards ู‡ูˆ
836
+
837
+ 210
838
+ 00:19:56,610 --> 00:20:04,760
839
+ ุฏูŠ ุงูƒุชุจ ู‡ู†ุงavailable hours ูŠูƒุชุจ ุจูŠู† ุงูŠู‡ H hour ู‡ูŠู†
840
+
841
+ 211
842
+ 00:20:04,760 --> 00:20:12,140
843
+ ุงู„ revenues ูŠูƒุชุจ ู‡ูŠู† ุงู„ revenue ูˆ ู„ุญุฏุงุช ุงูŠู‡ ุฏูˆู„ุงุฑ
844
+
845
+ 212
846
+ 00:20:12,140 --> 00:20:15,880
847
+ ุนุดุงู† ุงู…ูŠุฒ ู…ุงูŠุฎู„ูŠุด ูˆุงู„ู„ู‡ ุงููƒุฑ ุงู„ุนูƒุณ ุจููƒุฑ ุนุงุฏูŠ ุงูู‡ู…ุช
848
+
849
+ 213
850
+ 00:20:15,880 --> 00:20:19,000
851
+ ุนุดุงู† ุงู„ุฏูˆู„ุงุฑ ุงู„ sign ุงู„ุฏูˆู„ุงุฑ ุงู„ sign ุงู„ุฏูˆู„ุงุฑ ุงู„
852
+
853
+ 214
854
+ 00:20:19,000 --> 00:20:22,940
855
+ sign ุทุจุนุง
856
+
857
+ 215
858
+ 00:20:22,940 --> 00:20:26,990
859
+ ู‡ูˆ ุนู…ู„ ุดุบู„ ูƒูˆูŠุณุฉุทุงู„ู…ุง ุนู†ุฏูŠ bar chart ู‡ุนู…ู„ ุฎุทูˆุท
860
+
861
+ 216
862
+ 00:20:26,990 --> 00:20:38,750
863
+ ุฃูู‚ูŠุฉ ูƒู„ู…ุฉ chart ู‡ุนู…ู„ ุฎุทูˆุท ุฃูู‚ูŠุฉ ุชุณุนุฉ
864
+
865
+ 217
866
+ 00:20:38,750 --> 00:20:46,850
867
+ ููŠ ุงุณู…ู‡ polar area plot polar area chart demo ู‡ุฐุง
868
+
869
+ 218
870
+ 00:20:46,850 --> 00:20:52,370
871
+ ุงุณู…ู‡ ุนุทูŠู†ุฉ ุณุฑุนุงุช ูˆุงุชุฌุงู‡
872
+
873
+ 219
874
+ 00:20:55,970 --> 00:21:02,690
875
+ ุงู„ุฑูŠุญ ููŠ ู…ู†ุทู‚ุฉ ู…ุนูŠู†ุฉ ุทุจุนุง ู‡ู†ุง ุนู†ุฏูŠ ุตูˆุฑุฉ ุงู„ุฑูŠุญ ุฎู…ุณุฉ
876
+
877
+ 220
878
+ 00:21:02,690 --> 00:21:08,690
879
+ ู…ุชุฑ per second or above ู‡ูŠ
880
+
881
+ 221
882
+ 00:21:08,690 --> 00:21:13,470
883
+ ู‡ุฐู‡ ุชูˆุฒูŠุน ุตูˆุฑุฉ ุงู„ุฑูŠุญ ุฎู…ุณุฉ ู…ุชุฑ per second or above
884
+
885
+ 222
886
+ 00:21:13,470 --> 00:21:18,330
887
+ ุทุจุนุง ู„ุงุญุธูˆุง ุนู†ุฏูŠ ู‡ู†ุง ููŠ ุนู†ุฏูŠ .. ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
888
+
889
+ 223
890
+ 00:21:18,330 --> 00:21:19,210
891
+ ุฏูˆุงุฆุฑ
892
+
893
+ 224
894
+ 00:21:21,990 --> 00:21:25,430
895
+ ูŠุนู†ูŠ ู‡ูŠู† ุตูุฑ ููŠ ุงู„ู…ูŠุฉุŒ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุงู„ุฏูˆู„ุฉ
896
+
897
+ 225
898
+ 00:21:25,430 --> 00:21:29,190
899
+ ุงู„ูƒุจุฑู‰ ุนุดุฑุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฎู…ุณุฉ ุฃุดู‡ุฑุŒ ุนุดุฑูŠู†ุŒ ุฎู…ุณุฉ ูˆ
900
+
901
+ 226
902
+ 00:21:29,190 --> 00:21:32,770
903
+ ุนุดุฑูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ูˆ ุจุนุฏูŠู† ุนู†ุฏูŠ ุงู„ directions ุนู†ุฏูŠ
904
+
905
+ 227
906
+ 00:21:32,770 --> 00:21:39,930
907
+ east, north, west, southุŒ ุนู†ุฏูŠ north east, north
908
+
909
+ 228
910
+ 00:21:39,930 --> 00:21:46,310
911
+ westุŒ ุนู†ุฏูŠ south west, south eastุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนู†ุง
912
+
913
+ 229
914
+ 00:21:46,310 --> 00:21:46,690
915
+ ุนู„ู‰ ู‡ุฐู‡
916
+
917
+ 230
918
+ 00:21:50,070 --> 00:21:55,510
919
+ ุตุงุฑุช ุงู„ุฑูŠุญุฉ ุชูƒูˆู† ุฎู…ุณุฉ
920
+
921
+ 231
922
+ 00:21:55,510 --> 00:22:00,200
923
+ .. ุฎู…ุณุฉ ู…ูŠุฉ ุชูƒูˆู† ุฃุนู„ู‰ ุฎุงุตุฉ ุจูŠู‡ ุงู„ secondุฎู…ุณุฉ ููŠ
924
+
925
+ 232
926
+ 00:22:00,200 --> 00:22:02,720
927
+ ุงู„ู…ุฆุฉ ู…ู† ุงู„ุงุญุชู…ุงู„ ุชูƒูˆู† ุฎู…ุณุฉ .. ุฎู…ุณุฉ ู…ู† ุงู„ุณุงูƒู†
928
+
929
+ 233
930
+ 00:22:02,720 --> 00:22:06,620
931
+ ุจุงุชุฌุงู‡ ุงู„ north ู…ุซู„ุง ุจุนุถ ุฃุญูŠุงู† ูˆุนู†ุฏูŠ ุฎู…ุณุงุดู ููŠ
932
+
933
+ 234
934
+ 00:22:06,620 --> 00:22:12,520
935
+ ุงู„ู…ุฆุฉ ุจุงุชุฌุงู‡ ุงู„ .. ุงู„ .. ู‡ู†ุง east ู‡ู†ุง north ููƒุชูŠุฑ
936
+
937
+ 235
938
+ 00:22:12,520 --> 00:22:16,120
939
+ ุจูŠุณุชุฎุฏู…ูˆู‡ุง ููŠ ุญูƒุงูŠุงุช ุตูˆุฑุฉ ุงู„ุฑูŠุญ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชุณู…ู‰
940
+
941
+ 236
942
+ 00:22:16,120 --> 00:22:20,520
943
+ polar plot ู‡ูˆ ุงุณุชุฎุฏุงู… polar ู…ุน area polar area
944
+
945
+ 237
946
+ 00:22:20,520 --> 00:22:26,960
947
+ plots ุทุจุนุง ููŠ ุฃู†ูˆุงุน ุชุงู†ูŠุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ุฃุณุงุณูŠุฉ ุงู„ู„ูŠ
948
+
949
+ 238
950
+ 00:22:26,960 --> 00:22:28,060
951
+ ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆู‡ุง
952
+
953
+ 239
954
+ 00:22:33,260 --> 00:22:37,680
955
+ ุทูŠุจ ูู‰ ุนู†ุฏู†ุง ุงู„ type of coordinates ู…ู† ู†ุธุงู…
956
+
957
+ 240
958
+ 00:22:37,680 --> 00:22:42,760
959
+ ุงู„ุงุญุฏุงุซูŠุฉ ูู‰ ุนู†ุฏู†ุง linear coordinates ูˆ ูู‰ ุนู†ุฏู‰
960
+
961
+ 241
962
+ 00:22:42,760 --> 00:22:48,020
963
+ semi log coordinates ูˆ ุนู†ุฏู‰ log log coordinates
964
+
965
+ 242
966
+ 00:22:48,020 --> 00:22:56,680
967
+ linear coordinates ูŠุนู†ูŠ ู„ูˆ ุนู…ู„ุช ู†ู‚ุทุฉ ุชู„ุงุชุฉ ูˆ ู†ุงู‚ุต
968
+
969
+ 243
970
+ 00:22:56,680 --> 00:23:02,630
971
+ ุงุฑุจุนุฉุงูˆ ู†ุงู‚ุต ุงุฑุจุนุฉ ูˆ ุชู„ุงุชุฉ ู‡ุงูŠ ุจู…ุดูŠ ููŠ ุงู„ X ู‡ุงูŠ ุงู„
972
+
973
+ 244
974
+ 00:23:02,630 --> 00:23:05,670
975
+ X axis ูˆ ุงู„ Y axis ู‡ุงูŠ ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต
976
+
977
+ 245
978
+ 00:23:05,670 --> 00:23:07,810
979
+ ุชู„ุงุชุฉ ู†ุงู‚ุต ุงุฑุจุน ุจู…ุดูŠ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ุงู„ูˆุงุญุฏุฉ ุชู‚ุจู„
980
+
981
+ 246
982
+ 00:23:07,810 --> 00:23:11,670
983
+ ุงู„ูˆุงุญุฏุฉ ุงู† ูˆ ุงู„ุชู„ุงุชุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ุฐุง linear
984
+
985
+ 247
986
+ 00:23:11,670 --> 00:23:16,770
987
+ ุจู…ุดูŠู‡ุด linear ูŠุนู†ูŠ ุฏูŠ ู…ุซู„ุง ุงุชู†ูŠู† ูˆ ู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุงูŠ
988
+
989
+ 248
990
+ 00:23:16,770 --> 00:23:21,750
991
+ ูˆุงุญุฏ ุงุชู†ูŠู† ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆ
992
+
993
+ 249
994
+ 00:23:21,750 --> 00:23:28,670
995
+ ู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุฐุง linear coordinate ููŠ semi log
996
+
997
+ 250
998
+ 00:23:31,640 --> 00:23:36,720
999
+ coordinate ู…ุซู„ุง ู„ูˆ ุนุดุงู† ู†ุฑุฌุน ู„ู„ curve ู‡ุฐุง ูู‡ู†ุง ุงู„
1000
+
1001
+ 251
1002
+ 00:23:36,720 --> 00:23:39,720
1003
+ straight ุจุชุฏุฑุฌ ุนู„ู‰ ุงู„ similar global ุจุณ ู†ุญูƒูŠ ู„ูˆ
1004
+
1005
+ 252
1006
+ 00:23:39,720 --> 00:23:43,800
1007
+ ุนู„ู‰ ุงู„ slide ู‡ุฐุง ูู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ linear
1008
+
1009
+ 253
1010
+ 00:23:43,800 --> 00:23:48,700
1011
+ straight line transformation ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† ู…ุนุงุฏุฉ
1012
+
1013
+ 254
1014
+ 00:23:48,700 --> 00:23:53,900
1015
+ ุบูŠุฑ ุฎุทูŠุฉ ุฃุญูˆู„ ุงู„ู…ุนุงุฏุฉ ุงู„ุฎุทูŠุฉ ู…ุนุงุฏุฉ ุงู„ุฎุท ุงู„ู…ุณุชู‚ูŠู…
1016
+
1017
+ 255
1018
+ 00:23:53,900 --> 00:23:54,520
1019
+ ุงู„ู„ูŠ ู‡ูŠ Y
1020
+
1021
+ 256
1022
+ 00:23:59,500 --> 00:24:10,280
1023
+ ุจุงู„ุณุงูˆูŠุฉ ุจูŠ ููŠ x capital ุฒุงุฆุฏ a ุงู„ a ู‡ูŠ ุงู„
1024
+
1025
+ 257
1026
+ 00:24:10,280 --> 00:24:19,460
1027
+ intercept ูˆ ุงู„ b ุงู„ slope ูŠุนู†ูŠ ูŠุนู†ูŠ
1028
+
1029
+ 258
1030
+ 00:24:19,460 --> 00:24:23,780
1031
+ ู‡ูŠ ู‡ุฐุง
1032
+
1033
+ 259
1034
+ 00:24:23,780 --> 00:24:29,210
1035
+ aู‡ุฐุง X ูƒุงุจูŠุชุงู„ ูˆ Y ูƒุงุจูŠุชุงู„ ูˆู‡ุฐุง ุงู„ ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ
1036
+
1037
+ 260
1038
+ 00:24:29,210 --> 00:24:38,010
1039
+ ูŠุงุด ุจูŠ ูƒุงุจูŠุชู„ ุนู†ุฏูŠ ู…ุนุงุฏู„ุฉ ุฒูŠ ุฏู‡ Y ุจุงู„ุณุงูˆูŠุฉ
1040
+
1041
+ 261
1042
+ 00:24:38,010 --> 00:24:48,630
1043
+ A ุฒุงุฆุฏ B ุนู„ู‰ X ู‡ู„ ุนู„ุงู‚ุฉ ุจูŠู† X ูˆ B X ูˆ Y ุฎุทูŠุฉ ู„ุฃ
1044
+
1045
+ 262
1046
+ 00:24:48,630 --> 00:24:55,240
1047
+ ุชุญุช ููŠ ุงู„ู…ู‚ุงู… ู…ุด ุฎุทูŠุฉ ู„ูƒู† ู…ู…ูƒู† ุฃุญูˆู„ู‡ุง ุฃุญูƒูŠ ุฃู†ู‡ุฎู„ู‘ูŠ
1048
+
1049
+ 263
1050
+ 00:24:55,240 --> 00:25:06,400
1051
+ Y Y capital ูŠุนู†ูŠ transform Y Y transform into Y
1052
+
1053
+ 264
1054
+ 00:25:06,400 --> 00:25:13,860
1055
+ capital ูˆุงุญุฏ ุนู„ู‰ X transform it into X capital
1056
+
1057
+ 265
1058
+ 00:25:13,860 --> 00:25:20,760
1059
+ ูŠุนู†ูŠ ุฃู†ุช ุจูŠูƒูˆู† ุนู†ุฏูƒ ุฌุฏูˆู„ X X
1060
+
1061
+ 266
1062
+ 00:25:20,760 --> 00:25:32,210
1063
+ ู‡ูˆุจุญุณุจ ูˆุงุญุฏ ุนู„ู‰ X ุงูˆ Y I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
1064
+
1065
+ 267
1066
+ 00:25:32,210 --> 00:25:39,670
1067
+ ูุจุชุทูŠุญ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูŠุนู†ูŠ I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
1068
+
1069
+ 268
1070
+ 00:25:39,670 --> 00:25:43,450
1071
+ ูŠุนู†ูŠ ู‡ุงูŠ Y I transform Y small into Y capital ูˆ
1072
+
1073
+ 269
1074
+ 00:25:43,450 --> 00:25:51,290
1075
+ ูˆุงุญุฏุฉ ุนู„ู‰ X into X capital ูŠุนู†ูŠ ุจูŠุตูŠุฑ ู‡ุฐู‡ Y Y
1076
+
1077
+ 270
1078
+ 00:25:52,880 --> 00:26:02,340
1079
+ ุงู„ุงู†ุชุฑุณุจุช ุนู†ุฏูƒ a ุจุณูˆุก a ุฒุงุฆุฏ b ููŠ ูˆุงุญุฏ ุนู„ู‰ x ุงู†ุง
1080
+
1081
+ 271
1082
+ 00:26:02,340 --> 00:26:07,600
1083
+ will plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x ู…ุนู†ุงุชู‡ ุงู„ุงู†ุชุฑุณุจุช ู„ู„ุนู„ุงู‚ุฉ
1084
+
1085
+ 272
1086
+ 00:26:07,600 --> 00:26:16,060
1087
+ ู‡ุฐู‡ ู‡ุชูƒูˆู† a ูˆุงู„ุณู„ูˆุจ b if I plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x
1088
+
1089
+ 273
1090
+ 00:26:16,060 --> 00:26:19,220
1091
+ ุญุงู„ุฉ
1092
+
1093
+ 274
1094
+ 00:26:19,220 --> 00:26:20,140
1095
+ ุชุงู†ูŠุฉ ุนู†ุฏูŠ y
1096
+
1097
+ 275
1098
+ 00:26:26,870 --> 00:26:37,510
1099
+ Y ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ A ุฒุงุฆุฏ B X ู„ูˆ ุนูƒุณุช ุงู„ู…ุนุงุฏู„ุฉ ุญุณูŠู†
1100
+
1101
+ 276
1102
+ 00:26:37,510 --> 00:26:41,850
1103
+ ุงู† ุฏูŠ ูˆุงุญุฏ ุนู„ู‰ Y ุจูŠุณุงูˆูŠ
1104
+
1105
+ 277
1106
+ 00:26:41,850 --> 00:26:52,030
1107
+ A ุฒุงุฆุฏ B X ูŠุนู†ูŠ I transform ูˆุงุญุฏ ุนู„ู‰ Y into Y
1108
+
1109
+ 278
1110
+ 00:26:52,030 --> 00:26:52,490
1111
+ capital
1112
+
1113
+ 279
1114
+ 00:26:56,030 --> 00:27:02,750
1115
+ ูˆ X small into X capital ู…ุงุชุบูŠุฑุชุด ุงู„ X small ู‡ุงู„
1116
+
1117
+ 280
1118
+ 00:27:02,750 --> 00:27:09,330
1119
+ transformation ุงู„ู„ูŠ ุตุงุฑ I plot ุงู„ู„ูŠ
1120
+
1121
+ 281
1122
+ 00:27:09,330 --> 00:27:15,030
1123
+ ู‡ูŠ ูˆุงุญุฏ ุนู„ู‰ Y versus X
1124
+
1125
+ 282
1126
+ 00:27:17,820 --> 00:27:22,600
1127
+ plot ูˆุงุญุฏุฉ ุนู„ู‰ Y ุจุจุญุซ ุนู† ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ ูˆ ุจุฌูŠุจ ุงู„
1128
+
1129
+ 283
1130
+ 00:27:22,600 --> 00:27:27,280
1131
+ intercept ูˆ ุงู„ slope ุจุชุณู‡ู„ ุงู„ุดุบู„ ูƒุชูŠุฑ ูƒุชูŠุฑ ุจุชุณู‡ู„
1132
+
1133
+ 284
1134
+ 00:27:27,280 --> 00:27:32,560
1135
+ ุงู„ุดุบู„ ุจุญุงูˆู„ ูƒู„ ุดูŠ non linear ู„ linear ุทูŠุจ ู…ุนุงุฏู„ุฉ
1136
+
1137
+ 285
1138
+ 00:27:32,560 --> 00:27:39,560
1139
+ ุชุงู†ูŠุฉ ุนู†ุฏูŠ ู…ุซู„ุง ุนู†ุฏูŠ ู‡ู†ุง Y Y
1140
+
1141
+ 286
1142
+ 00:27:39,560 --> 00:27:42,640
1143
+ ุจุงู„ุณุงูˆูŠุฉ
1144
+
1145
+ 287
1146
+ 00:27:42,640 --> 00:27:45,580
1147
+ X ุนู„ู‰
1148
+
1149
+ 288
1150
+ 00:27:48,210 --> 00:27:56,850
1151
+ ุง ุฒุงุฆุฏ ุจูŠ ุงูƒุณ ู‡ุงูŠ ุงู„ู…ุนุงุฏู„ุฉ ูŠุนู†ูŠ
1152
+
1153
+ 289
1154
+ 00:27:56,850 --> 00:28:03,830
1155
+ ุงู„ู„ูŠ ุญูƒูŠุช y ุนู„ู‰ x ู‡ุชูƒูˆู†ุด ุณุงูˆูŠุฉ ูˆุงุญุฏ ุนู„ู‰ ุง ุฒุงุฆุฏ ุจูŠ
1156
+
1157
+ 290
1158
+ 00:28:03,830 --> 00:28:14,280
1159
+ ุงูƒุณ ุทูŠุจ ูŠุนูƒุณู‡ุง x ุนู„ู‰ yุจุณูˆุก a ุฒุงุฆุฏ bx ู…ุนู†ุงุชู‡ I
1160
+
1161
+ 291
1162
+ 00:28:14,280 --> 00:28:23,980
1163
+ transform X ุนู„ู‰ Y into Y capital ูˆ
1164
+
1165
+ 292
1166
+ 00:28:23,980 --> 00:28:33,620
1167
+ X small into X capital I plot X ุนู„ู‰ Y ู…ุน X ู‡ุฐุง ุงู„
1168
+
1169
+ 293
1170
+ 00:28:33,620 --> 00:28:39,020
1171
+ slope ูˆู‡ุฐุง ุงู„ intercept ุทูŠุจ
1172
+
1173
+ 294
1174
+ 00:28:40,390 --> 00:28:48,830
1175
+ ู†ุดูˆู ู‡ุฐู‡ ุงู„ู…ุนุฏุฉ Y Y
1176
+
1177
+ 295
1178
+ 00:28:48,830 --> 00:28:52,610
1179
+ Y
1180
+
1181
+ 296
1182
+ 00:28:52,610 --> 00:29:03,590
1183
+ ุจุงู„ุณุงูˆูŠุฉ A B ุฃูุณ X ู„ูˆ ุฃุฎุฏุช ู„ูู‚ ุงู„ุทุฑููŠู† ู„ูู‚ ุงู„ Y
1184
+
1185
+ 297
1186
+ 00:29:06,020 --> 00:29:13,600
1187
+ ุจุณูˆู‰ log ุงู„ A plus log ุงู„ B to the X ูŠุนู†ูŠ ู‡ูŠูƒูˆู†
1188
+
1189
+ 298
1190
+ 00:29:13,600 --> 00:29:26,280
1191
+ ุณูˆู‰ log ุงู„ Y ุจุณูˆู‰ log ุงู„ A ๏ฟฝ๏ฟฝุงุฆุฏ X log ุงู„ B ูŠุนู†ูŠ
1192
+
1193
+ 299
1194
+ 00:29:26,280 --> 00:29:34,940
1195
+ I transform log ุงู„ Y into Y capital
1196
+
1197
+ 300
1198
+ 00:29:37,680 --> 00:29:47,180
1199
+ ูˆ ุงู„ X ู„ุฃ X into X capital ู‡ุฐุง ุจูŠุณู…ูŠู‡ semi log ู„ุฃู†
1200
+
1201
+ 301
1202
+ 00:29:47,180 --> 00:29:50,680
1203
+ one variable is logged another ุถุงู„ู‡ ุฒูŠ ู…ุง ู‡ูˆ
1204
+
1205
+ 302
1206
+ 00:29:50,680 --> 00:29:57,200
1207
+ linear ุถุงู„ู‡ ูŠุนู†ูŠ ุฃุจู„ุท log ู…ุน linear ุทุจุนุง ู‡ุฐู‡ ุญุณูŠุจูŠ
1208
+
1209
+ 303
1210
+ 00:29:57,200 --> 00:29:59,700
1211
+ ุงู„ู„ูŠ ุจู†ุนู…ู„ู‡ุง ุจุงู„ุดูƒู„ ู‡ุฐูŠ ู‡ูƒ ููŠ ุณูŠุฑูŠู†ุฏูŠ ู‡ุฐูŠ Y
1212
+
1213
+ 304
1214
+ 00:29:59,700 --> 00:30:11,500
1215
+ capital ู…ุน log ุงู„ A ุงู„ู„ูŠ ู‡ูŠ A capitalู…ุน X ุจูŠ
1216
+
1217
+ 305
1218
+ 00:30:11,500 --> 00:30:17,140
1219
+ ูƒุงุจูŠุชู„ ู…ุนู†ุงุชู‡ ุงู„ุงุณู„ูˆุจ ุนู†ุฏูŠ ุงู„ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ log ุงู„
1220
+
1221
+ 306
1222
+ 00:30:17,140 --> 00:30:24,580
1223
+ Y ูˆ ุงู„ intercept ู‡ูˆ log ุงู„ A ูŠุนู†ูŠ I plot log ุงู„ Y
1224
+
1225
+ 307
1226
+ 00:30:24,580 --> 00:30:31,060
1227
+ ู…ุน ุงู„ X log ุงู„ Y ู…ุน ุงู„ X ูˆ ุงู„ intercept ู‡ูˆ log ุงู„
1228
+
1229
+ 308
1230
+ 00:30:31,060 --> 00:30:42,800
1231
+ A ูˆ ุงู„ุงุณู„ูˆุจ ู‡ูˆ log ุงู„ Bุงู„ุงู† ุดูˆู ู…ุด
1232
+
1233
+ 309
1234
+ 00:30:42,800 --> 00:30:49,480
1235
+ ู…ุฎุชู„ูุฉ ูƒุชูŠุฑ ู‡ุฐู‡ ุฏู‡ ุงุฎุฏ ู‡ุฐู‡ y ุจุงู„ุณุงูˆูŠุฉ
1236
+
1237
+ 310
1238
+ 00:30:49,480 --> 00:30:57,340
1239
+ y ุจุงู„ุณุงูˆูŠุฉ ax
1240
+
1241
+ 311
1242
+ 00:30:57,340 --> 00:31:02,800
1243
+ to the b ุฎุฏ log ุงู„ุทุฑููŠู† ูŠุตูŠุฑ log ุงู„ y
1244
+
1245
+ 312
1246
+ 00:31:05,700 --> 00:31:14,260
1247
+ ุจุณุงูˆูŠ log ุงู„ a ุฒูŠ ุจูŠ log ุงู„ X ู…ุนู†ุงุชู‡ ู‡ู‰
1248
+
1249
+ 313
1250
+ 00:31:14,260 --> 00:31:18,800
1251
+ transformed into Y capital ู‡ู‰ transformed into A
1252
+
1253
+ 314
1254
+ 00:31:18,800 --> 00:31:23,420
1255
+ capital ู‡ู‰ transferred into B capital ู‡ู‰
1256
+
1257
+ 315
1258
+ 00:31:23,420 --> 00:31:27,860
1259
+ transferred into X capital ู…ุนู†ุงุชู‡ log log scale
1260
+
1261
+ 316
1262
+ 00:31:37,970 --> 00:31:43,990
1263
+ ุนู†ุฏูŠ ุขุฎุฑ ูˆุงุญุฏุฉ ู‡ูŠ y ุจูŠุณุงูˆูŠ a ุจุฒุงุนุช b x to the n y
1264
+
1265
+ 317
1266
+ 00:31:43,990 --> 00:31:49,750
1267
+ y
1268
+
1269
+ 318
1270
+ 00:31:49,750 --> 00:31:53,490
1271
+ ุจูŠุณุงูˆูŠ
1272
+
1273
+ 319
1274
+ 00:31:53,490 --> 00:32:02,190
1275
+ a ุจุฒุงุนุช b x to the n ู‡ุฐูŠ
1276
+
1277
+ 320
1278
+ 00:32:02,190 --> 00:32:07,700
1279
+ I will transform it intoY capital ู‡ุฏูŠ into A
1280
+
1281
+ 321
1282
+ 00:32:07,700 --> 00:32:13,160
1283
+ capital ู‡ุฏูŠ into B capital ู‡ุฏูŠ into X to the N
1284
+
1285
+ 322
1286
+ 00:32:13,160 --> 00:32:18,980
1287
+ into X capital ูŠุนู†ูŠ I plot Y versus X to the N
1288
+
1289
+ 323
1290
+ 00:32:18,980 --> 00:32:25,120
1291
+ ูุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู„ intercept ุงู„ู„ูŠ ู‡ูˆ A ูˆ ุงู„ slope ุงู„ู„ูŠ
1292
+
1293
+ 324
1294
+ 00:32:25,120 --> 00:32:32,560
1295
+ ู‡ูˆ B ู†ุฑุฌุน ุนู„ู‰ ุงู„ log ู†ุนู… ู…ุงู†ูุนุด
1296
+
1297
+ 325
1298
+ 00:32:32,560 --> 00:32:33,180
1299
+ ู„ูŠุดุŸ
1300
+
1301
+ 326
1302
+ 00:32:36,300 --> 00:32:42,780
1303
+ ู„ูˆ ุฏู‡ ุชุงุฎุฏ ุงู„ log ุทู„ุน ุฎุฏ ุงู„ log log ุงู„ Y ุจูŠุตูˆูŠ log
1304
+
1305
+ 327
1306
+ 00:32:42,780 --> 00:32:50,300
1307
+ ุงู„ A ุฒูŠ B X to the N ุงู„ log ุงู„ู„ูŠ ุฌูˆุง ุจูŠุตูˆูŠุด ู…ุฌู…ูˆุนุฉ
1308
+
1309
+ 328
1310
+ 00:32:50,300 --> 00:32:55,820
1311
+ log ุงู„ multiplication ุจุชุญูˆู„ู‡
1312
+
1313
+ 329
1314
+ 00:32:55,820 --> 00:33:01,980
1315
+ ู„ู…ุฌู…ูˆุนุฉ ู…ู†ูุนุด ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุทูŠุจ ุงู„ู„ูŠ ู‡ุงู„ log scale
1316
+
1317
+ 330
1318
+ 00:33:01,980 --> 00:33:04,300
1319
+ ู‡ุงุฎุฏ
1320
+
1321
+ 331
1322
+ 00:33:05,170 --> 00:33:09,410
1323
+ ุจูŠู† ุงู„ุนุดุฑุฉ ูˆุงู„ู…ูŠุฉ ู‡ุงูŠ ุงู„ุนุดุฑุฉ ุจุฏูŠ ุฃุฎุฏ ุจูŠู† ุงู„ุนุดุฑุฉ
1324
+
1325
+ 332
1326
+ 00:33:09,410 --> 00:33:13,730
1327
+ ูˆุงู„ู…ูŠุฉ ุนุดุฑุฉ ุนุดุฑูŠู† ุฃุฎุฏ ูˆ ุฃุฌูŠุจ ู„ู‡ ุงู„ log ุจุฏูŠ ุฃุฎุฏ ุจูŠู†
1328
+
1329
+ 333
1330
+ 00:33:13,730 --> 00:33:19,390
1331
+ ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆ ุจูŠู† ุจูŠู† ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆ ุจูŠู†
1332
+
1333
+ 334
1334
+ 00:33:19,390 --> 00:33:21,610
1335
+ ุงู„ุนุดุฑุฉ ูˆุงู„ู…ูŠุฉ ุชุนุฑููŠ ุงู„ู…ุซุงู„ ุนู„ู‰ ุงู„ Excel ูˆุชุดูˆู ุฃูŠุด
1336
+
1337
+ 335
1338
+ 00:33:21,610 --> 00:33:25,170
1339
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู…ุนุงู‡ ุนุดุงู† ุชูู‡ู…ูŠ ุฃูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„
1340
+
1341
+ 336
1342
+ 00:33:25,170 --> 00:33:30,450
1343
+ log scale ู‡ุงูŠ
1344
+
1345
+ 337
1346
+ 00:33:30,450 --> 00:33:41,870
1347
+ ุจุชุณู…ูŠ ุงู†ุง ู‡ู†ุง I Xูˆ ู‡ุงูŠ log x ุนู†ุฏ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู†
1348
+
1349
+ 338
1350
+ 00:33:41,870 --> 00:33:51,130
1351
+ ุจุฏู‡ ุงุญุท ู„ุญุฏ ุนุดุฑุฉ ุจุนุฏ
1352
+
1353
+ 339
1354
+ 00:33:51,130 --> 00:33:54,430
1355
+ ู‡ู†ุง ุนู†ุฏูŠ ุนุดุฑุฉ ุนุดุฑูŠู† ุจุฏู‡ ุงุนู…ู„ ู„ุญุฏ ุงู„ู…ูŠุฉ
1356
+
1357
+ 340
1358
+ 00:34:04,730 --> 00:34:07,710
1359
+ ุทุจ ุงุฐุง ูƒุงู… ุจูŠู† ุงู„ 100 ูˆ ุงู„ 1000 ู‡ุญูƒูŠ 100 200 300
1360
+
1361
+ 341
1362
+ 00:34:07,710 --> 00:34:15,910
1363
+ ู„ุญุฏ ุงู„ 1000 ู„ู…ุง ุจุชุฏุฎู„ ุงู„ log ู‡ู†ุง ุจุชุณุงูˆูŠ log log
1364
+
1365
+ 342
1366
+ 00:34:15,910 --> 00:34:23,510
1367
+ ู„ู„ุฃุณุงุณ ุนุดุฑุฉ log 10 ู„ู„ูˆุงุญุฏ
1368
+
1369
+ 343
1370
+ 00:34:23,510 --> 00:34:27,810
1371
+ log
1372
+
1373
+ 344
1374
+ 00:34:27,810 --> 00:34:29,050
1375
+ ุงู„ูˆุงุญุฏ ุจุชุณุงูˆูŠ ุณูุฑ
1376
+
1377
+ 345
1378
+ 00:34:33,820 --> 00:34:40,080
1379
+ ุนุดุงู† ุฎู„ูŠู†ูŠ ุงู†ุง ุงุนู…ู„ู‡ ุทูŠุจ
1380
+
1381
+ 346
1382
+ 00:35:01,510 --> 00:35:08,090
1383
+ ุงุทู„ุน ู„ุฌ ุงู„ูˆุงุญุฏ ุงูƒู… ู„ุฃู† ุนุดุฑ ุงูˆ ุณูุฑ ุตุญุŸ ูˆุงุญุฏ ู„ุฌ
1384
+
1385
+ 347
1386
+ 00:35:08,090 --> 00:35:17,610
1387
+ ุงู„ุนุดุฑุฉ ูˆุงุญุฏ ู„ุฌ ุงู„ู…ูŠุฉ ุงุชู†ูŠู† ู„ุฌ ุงู„ุฃู„ู ุชู„ุงุชุฉ ุนุดุฑ ุชู„ุงู
1388
+
1389
+ 348
1390
+ 00:35:17,610 --> 00:35:25,490
1391
+ ุงุฑุจุน ู…ูŠุฉ ุงู„ู ุฎู…ุณุฉ ู…ู„ูŠูˆู† ุณุชุฉ ูˆูƒุฐุง ุทูŠุจ ุงุทู„ุน ุจูŠู†
1392
+
1393
+ 349
1394
+ 00:35:25,490 --> 00:35:27,430
1395
+ ุงู„ุณูุฑ ุงู„ุณูุฑ
1396
+
1397
+ 350
1398
+ 00:35:29,400 --> 00:35:34,760
1399
+ ูˆ ุจูŠู† ุงู„ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุจูŠู†
1400
+
1401
+ 351
1402
+ 00:35:34,760 --> 00:35:41,840
1403
+ ุงู„ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุชู‚ุฑูŠุจุง ุงู†ุง ู…ุงุฎุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ุจูŠู†
1404
+
1405
+ 352
1406
+ 00:35:41,840 --> 00:35:48,940
1407
+ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑุฉ ูŠุนู†ูŠ ุฎู„ูŠู†ูŠ ุงุญูƒูŠ ุฎู„ูŠู†ูŠ ุงุฎุฏ ุงู„ูุฑู‚
1408
+
1409
+ 353
1410
+ 00:35:48,940 --> 00:35:55,600
1411
+ ูŠุนู†ูŠ ู‡ุฏู‡ ู‡ุฏู‡ ุจุชุณุงูˆูŠ ู‡ุฏู‡ ู†ุงู‚ุต ู‡ุฏู‡ ุจุณ ุนุดุงู† ุงูˆุถุญ
1412
+
1413
+ 354
1414
+ 00:35:58,430 --> 00:36:01,250
1415
+ ู‡ุฐู‡ ุงู„ difference ุฎู„ู‘ูŠู†ูŠ ุฃุณู…ูŠู‡ ุงู„ difference
1416
+
1417
+ 355
1418
+ 00:36:01,250 --> 00:36:04,870
1419
+ ุฎู„ู‘ูŠู†ูŠ
1420
+
1421
+ 356
1422
+ 00:36:04,870 --> 00:36:09,250
1423
+ ุฃุณู…ูŠู‡ุง ุณูุฑ ุงู„ุงุชู†ูŠู†
1424
+
1425
+ 357
1426
+ 00:36:09,250 --> 00:36:12,790
1427
+ ู…ุงุฎุฏุฉ point ุชู„ุงุชุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ูุฑู‚ ุจูŠู† ุงู„ tick ู„ู…ุง
1428
+
1429
+ 358
1430
+ 00:36:12,790 --> 00:36:15,010
1431
+ ุงู†ุง ุงุนู…ู„ tick ุจุงุฎุฏ point ุชู„ุงุชุฉ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1432
+
1433
+ 359
1434
+ 00:36:15,010 --> 00:36:17,790
1435
+ ูˆุงู„ุงุชู†ูŠู† ู…ุงุฎุฏุฉ point ูˆุงุญุฏ ุณุจุนุฉ ุณุชุฉ ุจูŠู† ุฃุฑุจุนุฉ
1436
+
1437
+ 360
1438
+ 00:36:17,790 --> 00:36:22,390
1439
+ ูˆุงู„ุชู„ุงุชุฉ point ูˆุงุญุฏ ุงุชู†ูŠู† ุฎู…ุณุฉ ุจูŠู† ุงู„ุฎู…ุณุฉ ูˆุงู„ุงุฑุจุนุฉ
1440
+
1441
+ 361
1442
+ 00:36:22,390 --> 00:36:25,010
1443
+ point ุงูˆ ุชุณุนุฉ ุณุจุนุฉ ุจูŠู†
1444
+
1445
+ 362
1446
+ 00:36:26,930 --> 00:36:31,390
1447
+ ุงู„ุณุชุฉ ูˆุงู„ุฎู…ุณุฉ point ุงูˆ ุณุจุนุฉ ุณุจุนุฉ ูƒู…ุงู† ุจู‚ู„ ุจูŠู†
1448
+
1449
+ 363
1450
+ 00:36:31,390 --> 00:36:37,350
1451
+ ุงู„ุณุจุนุฉ ูˆุงู„ุณุชุฉ point ุงูˆ ุณุชุฉ ุณุจุนุฉ ู„ุญุธุฉ ุจูŠู† ุงู„ุนุดุฑุฉ
1452
+
1453
+ 364
1454
+ 00:36:37,350 --> 00:36:40,890
1455
+ ูˆุงู„ุชุณุนุฉ point ุงูˆ ุงุฑุจุนุฉ ุณุชุฉ ุงู„ุงู† ุงุฑุฌุน ุจูŠู† ุงู„ุนุดุฑูŠู†
1456
+
1457
+ 365
1458
+ 00:36:40,890 --> 00:36:46,370
1459
+ ูˆุงู„ุนุดุฑุฉ ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูˆุงู„ูˆุงุญุฏ ุจูŠู† ุงู„ุชู„ุงุชูŠู†
1460
+
1461
+ 366
1462
+ 00:36:46,370 --> 00:36:49,830
1463
+ ูˆุงู„ุนุดุฑูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุชู„ุงุชุฉ ูˆุงู„ุงุชู†ูŠู†ุจูŠู†
1464
+
1465
+ 367
1466
+ 00:36:49,830 --> 00:36:52,850
1467
+ ุงู„ุงุฑุจุนูŠู† ูˆุงู„ุชู„ุงุชูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุฑุจุนุฉ ูˆุงู„ุชู„ุงุชุฉ
1468
+
1469
+ 368
1470
+ 00:36:52,850 --> 00:36:55,930
1471
+ ุจูŠู† ุงู„ุฎู…ุณูŠู† ูˆุงู„ุงุฑุจุนูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุฎู…ุณุฉ
1472
+
1473
+ 369
1474
+ 00:36:55,930 --> 00:37:00,210
1475
+ ูˆุงู„ุงุฑุจุนุฉ ู„ุงุญุธูˆู†
1476
+
1477
+ 370
1478
+ 00:37:00,210 --> 00:37:09,270
1479
+ ุงู„ูุฑูˆู‚ุŸ ุทูŠุจ ู…ุนู†ุงุชู‡ ู„ู…ุง ุงู†ุง ุงุฌูŠ ุงุนู…ู„ ู„ูˆุฌ ุณูƒูŠู„
1480
+
1481
+ 371
1482
+ 00:37:20,020 --> 00:37:26,220
1483
+ ู‡ูŠ ุน ุงู„ x axis ุจุฏูŠ ุงุฏุฑุฌู‡ ู‡ู‰ ู†ุญูƒูŠ ุนุดุฑุฉ ุงู‚ุต ุณูุฑ ุงู„ู„ู‰
1484
+
1485
+ 372
1486
+ 00:37:26,220 --> 00:37:35,920
1487
+ ู‡ู‰ ุงูŠุด ูˆุงุญุฏ ุนุดุฑุฉ ุงู‚ุต ูˆุงุญุฏ ุนุดุฑุฉ ุนุดุฑุฉ ุงู‚ุต ุงุชู†ูŠู† ู…ูŠุฉ
1488
+
1489
+ 373
1490
+ 00:37:35,920 --> 00:37:43,020
1491
+ ุงู„ุงู† log ุงู„ูˆุงุญุฏ point ู„ุง log ุงู„ูˆุงุญุฏ zero ู‡ู‰ ุงู„ู„ู‰
1492
+
1493
+ 374
1494
+ 00:37:43,020 --> 00:37:44,320
1495
+ ู‡ู†ุง ู‡ู‰ ู‡ุงุฏู‰
1496
+
1497
+ 375
1498
+ 00:37:47,220 --> 00:37:51,740
1499
+ ู„ุบ ุงู„ุงุชู†ูŠู† ู…ุงุฎุฏุฉ ุชู‚ุฑูŠุจุง ุชู„ุชุฉ ุชู„ุชุฉ ู…ู† ุนุดุฑุฉ ูŠุนู†ูŠ ู‡ุงูŠ
1500
+
1501
+ 376
1502
+ 00:37:51,740 --> 00:38:01,080
1503
+ ุฌุงูŠุฉ ู‡ู†ุง ู‡ุฐู‡ ู„ุบ ุงู„ุงุชู†ูŠู† ู‡ุฐู‡ ูˆุงุญุฏ ู‡ุฐู‡ ุงุชู†ูŠู† ูˆู‡ุฐู‡
1504
+
1505
+ 377
1506
+ 00:38:01,080 --> 00:38:07,380
1507
+ ู†ูุณ ุงู„ุดูŠุก ุนุดุฑูŠู† ุงู„ุชู„ุงุชุฉ
1508
+
1509
+ 378
1510
+ 00:38:07,380 --> 00:38:13,680
1511
+ ุชู‚ุฑูŠุจุง ุฌุงูŠุฉ ู†ุต ู‡ุฐู‡ ู†ุตู‡ุง ุฌุงูŠุฉ ู‡ู†ุง ู‡ุฐู‡ ุงู„ุชู„ุงุชุฉ
1512
+
1513
+ 379
1514
+ 00:38:16,480 --> 00:38:24,160
1515
+ ุงู„ุงุฑุจุนุฉ ูŠุนู†ูŠ ุฌุงูŠุฉ ุฒูŠ ู‡ูŠูƒ ุงู„ุฎู…ุณุฉ
1516
+
1517
+ 380
1518
+ 00:38:24,160 --> 00:38:27,740
1519
+ ุงู„ุณุชุฉ
1520
+
1521
+ 381
1522
+ 00:38:27,740 --> 00:38:34,120
1523
+ ุงู„ุณุจุนุฉ ุชู…ุงู†ุช ููƒู„ ู…ุง ูŠู‚ุฑุจ ุงู„ุนุดุฑ ุงู„ูุฑู‚ ุฅูŠุด ุจู‚ู„ ูุจูŠุฌูŠ
1524
+
1525
+ 382
1526
+ 00:38:34,120 --> 00:38:40,380
1527
+ ุงู„ scale ู…ู‚ุณู… ุฒูŠ ู‡ูŠูƒ ููŠ ุงู„ log scale
1528
+
1529
+ 383
1530
+ 00:38:43,110 --> 00:38:47,290
1531
+ ูˆุงุถุญ ูƒูŠู ุงุฌุจู‡ ุงู†ุง ุงุฌุฏ ุชู‚ุณูŠู…ุชู‡ ู…ู† ู‡ุฐู‡ ุทุจุนุง ู‡ุฐุง
1532
+
1533
+ 384
1534
+ 00:38:47,290 --> 00:38:54,690
1535
+ ุจุชูƒุฑุฑ ุทูŠุจ ู…ู† 0 ู„1 ู„10 ู†ูุณู‡ ูุจูŠุฌูŠ ุงู„ curve ุจูŠุฌูŠ
1536
+
1537
+ 385
1538
+ 00:38:54,690 --> 00:38:59,550
1539
+ ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ log ุงู„ู„ูŠ ู‡ูˆ ุงู„ log scale ู‡ูŠ ุงู„ log
1540
+
1541
+ 386
1542
+ 00:38:59,550 --> 00:39:05,790
1543
+ scale ูู„ู…ุง
1544
+
1545
+ 387
1546
+ 00:39:05,790 --> 00:39:06,970
1547
+ ุงู†ุง ุงุนู„ู† ู†ู‚ุทุฉ ู‡ู†ุง
1548
+
1549
+ 388
1550
+ 00:39:15,380 --> 00:39:21,080
1551
+ ูŠุนู†ูŠ ุนู†ุฏูƒ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ
1552
+
1553
+ 389
1554
+ 00:39:21,080 --> 00:39:27,260
1555
+ ุชุจุนูŠุฉ ุชุณุนุฉ ุนุดุฑุฉ ูุงู†ุง ู„ุงุญุธู‡ ู…ุซู„ุง ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ
1556
+
1557
+ 390
1558
+ 00:39:27,260 --> 00:39:32,940
1559
+ ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ ูุจุนู„ู…ู‡ ูˆ ู‡ุฐุง ุทุจุนุง log log scale
1560
+
1561
+ 391
1562
+ 00:39:32,940 --> 00:39:37,240
1563
+ ูŠุนู†ูŠ ุงู„ x axis ู…ุฏุฑุฌ log ูŠุนู†ูŠ ุงู„ differences ู…ุด
1564
+
1565
+ 392
1566
+ 00:39:37,240 --> 00:39:43,560
1567
+ ุซุงุจุชุฉููŠ ุชูƒุฑุงุฑ ู…ู† ูˆุงุญุฏ ู„ุนุดุฑุฉ ู†ูุณ ุงู„ pattern ุจูŠู†
1568
+
1569
+ 393
1570
+ 00:39:43,560 --> 00:39:46,580
1571
+ ุนุดุฑุฉ ูˆ ู…ูŠุฉ ุจูŠู† ู…ูŠุฉ ูˆ ุฃู„ู ุจูŠู† ุฃู„ู ูˆ ุนุดุฑุฉ ุชู„ุงุช ุจูŠู†
1572
+
1573
+ 394
1574
+ 00:39:46,580 --> 00:39:50,260
1575
+ ุนุดุฑุฉ ุชู„ุงุช ูˆ ู…ูŠุช ุฃู„ู ุจูŠู† ู…ูŠุช ุฃู„ู ูˆ ู…ู„ูŠูˆู† ุจูŠู† ู…ู„ูŠูˆู†
1576
+
1577
+ 395
1578
+ 00:39:50,260 --> 00:39:52,440
1579
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ู…ูŠุช ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู†
1580
+
1581
+ 396
1582
+ 00:39:52,440 --> 00:39:57,620
1583
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ
1584
+
1585
+ 397
1586
+ 00:39:57,620 --> 00:40:02,280
1587
+ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ
1588
+
1589
+ 398
1590
+ 00:40:02,280 --> 00:40:02,600
1591
+ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู†
1592
+
1593
+ 399
1594
+ 00:40:02,600 --> 00:40:02,640
1595
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ
1596
+
1597
+ 400
1598
+ 00:40:02,640 --> 00:40:05,540
1599
+ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ
1600
+
1601
+ 401
1602
+ 00:40:05,540 --> 00:40:12,070
1603
+ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆู…ุจุงุดุฑุฉ ุจุญุท ุงู„ู‚ูŠู…ุฉ ู…ุซู„ุง ู‡ูŠ ูˆุงุญุฏ ู‡ูŠ ูˆุงุญุฏ
1604
+
1605
+ 402
1606
+ 00:40:12,070 --> 00:40:17,390
1607
+ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆูŠู† ู‡ุชูŠุฌูŠ ู‡ูŠ ู‡ู†ุง ู‡ู†ุง ู‡ู†ุง
1608
+
1609
+ 403
1610
+ 00:40:17,390 --> 00:40:23,630
1611
+ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆุงุถุญุงุช ู…ุซู„ุง ุนุดุฑุฉ ุนุดุฑุฉ ู…ุน ุนุดุฑุฉ ู‡ูŠู‡ุง
1612
+
1613
+ 404
1614
+ 00:40:23,630 --> 00:40:33,790
1615
+ ุนู†ุฏูŠ ู…ุชูŠู† ู…ุน ุนุดุฑูŠู† ู‡ูŠ ู…ุชูŠู† ู‡ูŠ ู…ุชูŠู† ู…ุน ุนุดุฑูŠู† ู‡ูŠู‡ุง
1616
+
1617
+ 405
1618
+ 00:40:33,790 --> 00:40:44,130
1619
+ ูˆุงุถุญุฉุทูŠุจ ุชุณุนูŠู† ุชุณุนูŠู† ู…ุน ุชุณุนู…ูŠุฉ ู‡ุงูŠ ุชุณุนูŠู† ู‡ุงูŠ
1620
+
1621
+ 406
1622
+ 00:40:44,130 --> 00:40:53,830
1623
+ ุชุณุนู…ูŠุฉ ู‡ุงูŠ ู…ู† ู‡ู†ุง ู‡ุงูŠ ุนู† ู‡ู†ุง ูˆุงุถุญุงุช ุทุจุนุง
1624
+
1625
+ 407
1626
+ 00:40:53,830 --> 00:40:57,990
1627
+ ููŠ ุงู„ุญุงู„ุฉ ุงู†ุง ุดุงูŠู ู‡ุฐุง semi log scale ูŠุนู†ูŠ ุนู„ู‰ ู‡ุฐุง
1628
+
1629
+ 408
1630
+ 00:40:57,990 --> 00:41:04,680
1631
+ ุงู„ x axis log ูˆุนู„ู‰ ุงู„ y axis linearู…ู…ูƒู† ูŠูƒูˆู† ุนูƒุณุŒ
1632
+
1633
+ 409
1634
+ 00:41:04,680 --> 00:41:07,960
1635
+ ู‡ูŠ log ูˆ ู‡ูŠ linearุŒ ุจูŠุจู‚ู‰ ู„ู‡ semi log ุฅุฐุง ูƒุงู† ุงู„
1636
+
1637
+ 410
1638
+ 00:41:07,960 --> 00:41:10,100
1639
+ two axis ู‡ุฐุง log ูˆ log ูŠุนู†ูŠ ู‡ูŠ ุงู„ุชูƒุณู ุจุชูƒูˆู† log
1640
+
1641
+ 411
1642
+ 00:41:10,100 --> 00:41:13,060
1643
+ scale ูˆ ู‡ุฐุง log scaleุŒ ุจูŠูƒูˆู† ุงุณู…ู‡ุง log log scale
1644
+
1645
+ 412
1646
+ 00:41:13,060 --> 00:41:17,120
1647
+ ุงู„ุขู† ู‡ูŠูƒ ู…ูƒูˆู† ุฎู„ุตู†ุง ู†ุดุฑุจ ุชุฑุถูŠ ุนู„ู‰ ุงู„ุฌุฒุก ุงู„ุจุณูŠุท
1648
+
1649
+ 413
1650
+ 00:41:17,120 --> 00:41:21,540
1651
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ fitting .. fitting experimental
1652
+
1653
+ 414
1654
+ 00:41:21,540 --> 00:41:23,700
1655
+ data
1656
+
1657
+ 415
1658
+ 00:41:25,550 --> 00:41:28,830
1659
+ ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ transformation ู…ู† non-linear
1660
+
1661
+ 416
1662
+ 00:41:28,830 --> 00:41:33,490
1663
+ scale ู„ linear scale ู…ู‡ู… ูƒุชูŠุฑ ุจูŠุณู‡ู„ ุงู„ุดุบู„ ูˆ
1664
+
1665
+ 417
1666
+ 00:41:33,490 --> 00:41:37,350
1667
+ ุงู„ุญุณุงุจุงุช ูˆ ุจูŠุณู‡ู„ ูู‡ู… ุงู„ trend ูู‡ู… .. ุจูŠุณู‡ู„ .. ุฃุซุฑ
1668
+
1669
+ 418
1670
+ 00:41:37,350 --> 00:41:43,390
1671
+ ูƒุชูŠุฑ ุจูŠุณู‡ู„ ุงู„ trend ูŠู„ุง
1672
+
1673
+ 419
1674
+ 00:41:43,390 --> 00:41:44,030
1675
+ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
1676
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/A0IHWUvs2Dw_raw.srt ADDED
@@ -0,0 +1,1676 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,600 --> 00:00:07,940
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆ ุฑุญู…ุฉ ุงู„ู„ู‡ ูˆ
4
+
5
+ 2
6
+ 00:00:07,940 --> 00:00:10,780
7
+ ุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุจุฑุถู‡ ููŠ ู†ูุณ ุงู„ chapter ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:10,780 --> 00:00:16,880
11
+ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑุจูŠุฉ ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู†
12
+
13
+ 4
14
+ 00:00:16,880 --> 00:00:21,640
15
+ presentation of experimental data ุงูˆู„ ุดูŠ ู‡ู†ุญูƒูŠ ุนู†
16
+
17
+ 5
18
+ 00:00:21,640 --> 00:00:24,160
19
+ general rules for making graphs ุทุจุนุง ุงู„ graphs
20
+
21
+ 6
22
+ 00:00:24,160 --> 00:00:33,740
23
+ ุจุดูƒู„ ุนุงู… ุจุชุนุทูŠ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ุจุดูƒู„ ู…ุจุณุท ูˆ ุดูƒู„ ุดุฑูŠุน
24
+
25
+ 7
26
+ 00:00:34,830 --> 00:00:38,010
27
+ ู…ู…ูƒู† ุงุชูˆู‚ุน ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ independent variable ูˆ
28
+
29
+ 8
30
+ 00:00:38,010 --> 00:00:40,270
31
+ independent variable ุจู†ุงุก ุนู„ู‰ graph ุงู† ู…ุซู„ุง ู‡ู„
32
+
33
+ 9
34
+ 00:00:40,270 --> 00:00:46,350
35
+ ุนู„ุงู‚ุฉ ู…ุซู„ุง ุนู„ุงู‚ุฉ ุทุฑุฏูŠุฉ ุชุฒุงูˆุฏูŠุฉ ุงูˆ ุนู„ุงู‚ุฉ ุนูƒุณูŠุฉ
36
+
37
+ 10
38
+ 00:00:46,350 --> 00:00:54,160
39
+ ุจุงู„ุฒูŠุฏ X ุจุงู„ู‚ู„ Y ุงูˆ ู‡ู„ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูˆู„ุง ุบูŠุฑ ุฎุทูŠุฉูˆ
40
+
41
+ 11
42
+ 00:00:54,160 --> 00:00:57,280
43
+ ุฅุฐุง ูƒุงู†ุช ุบูŠุฑ ุฎุทูŠุฉ ู‡ุง ู‡ูŠ .. ู‡ูŠ logarithmic ูˆู„ุง
44
+
45
+ 12
46
+ 00:00:57,280 --> 00:01:02,480
47
+ exponential ูˆู„ุง .. ูˆู„ุง polynomial ูˆู„ุง sinusoid ู…ู†
48
+
49
+ 13
50
+ 00:01:02,480 --> 00:01:08,420
51
+ ุดูƒู„ ุงู„ graph ุจุงุฎุฏ ู…ุนู„ูˆู…ุงุช ูƒุชูŠุฑ ูˆ ุจุนุทูŠ ุชู‚ุฏูŠุฑ ู„ู†ูˆุน
52
+
53
+ 14
54
+ 00:01:08,420 --> 00:01:12,040
55
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ two variables X and Y ูˆ ููŠ ู†ูุณ
56
+
57
+ 15
58
+ 00:01:12,040 --> 00:01:15,780
59
+ ุงู„ูˆู‚ุช ุจุณุชุฎุฑุฌ ู…ุนู„ูˆู…ุงุช ุฃุณู‡ู„ ูˆ ุฃุณุฑุน ู„ู…ุง ุฃุทู„ุน ุฌุฏูˆู„
60
+
61
+ 16
62
+ 00:01:15,780 --> 00:01:23,410
63
+ ุฃุฑู‚ุงู… ูƒุชูŠุฑ ุตุนุจ ุฃุณุชูˆุนุจุงู„ graph ุจูŠุนุทูŠู†ุง ูู‡ู… ุฏู‚ูŠู‚
64
+
65
+ 17
66
+ 00:01:23,410 --> 00:01:29,490
67
+ ูˆุณุฑูŠุน ูˆุจูŠุนุทูŠู†ุง ุงู„ trend ุจุชุงุน ุงู„ุชุบูŠุฑ .. ุงู„ trend
68
+
69
+ 18
70
+ 00:01:29,490 --> 00:01:33,190
71
+ ุจุชุงุน ุงู„ุชุบูŠุฑ ุนุดุงู† ุฐู„ูƒ ุฃู†ุง ุจู„ุฌุฃ ู„ู„ graphing ุงู„ู„ูŠ ู‡ู†ุง
72
+
73
+ 19
74
+ 00:01:33,190 --> 00:01:37,850
75
+ ููŠู‡ general rules for making graphs ุฃูˆู„ุด ุงู„
76
+
77
+ 20
78
+ 00:01:37,850 --> 00:01:40,630
79
+ independent variable ุงู„ู…ุชุบูŠุฑ ุงู„ู…ุณุชู‚ู„ ุจูŠุฌูŠ ุนู„ู‰ ุงู„ x
80
+
81
+ 21
82
+ 00:01:40,630 --> 00:01:46,930
83
+ axis ูŠุนู†ูŠ ุงุฐุง ุนู†ุฏูŠ .. ุงู†ุง ุจุญุซ ู…ุซู„ุง ุณุฑุนุฉ
84
+
85
+ 22
86
+ 00:01:46,930 --> 00:01:54,430
87
+ ู…ุน ุฒู…ู†ุงู„ู€ independent variable ู‡ูˆ ุฅูŠุดุŸ ุงู„ T ู„ุงุฒู…
88
+
89
+ 23
90
+ 00:01:54,430 --> 00:02:03,230
91
+ ุฃุญุท ุงู„ูˆุญุฏุงุช second ูˆ ุณุงุนุฉ ุงู„ุตุฑุงุน V meter per
92
+
93
+ 24
94
+ 00:02:03,230 --> 00:02:07,110
95
+ second ุทุจุนุง
96
+
97
+ 25
98
+ 00:02:07,110 --> 00:02:09,510
99
+ ุงู„ labor units in each axis ู‡ูŠุญุทูŠุชูŠ ู†ูุณูŠ in second
100
+
101
+ 26
102
+ 00:02:09,510 --> 00:02:12,930
103
+ ูŠุนู†ูŠ ุฅูŠุด? meter per second
104
+
105
+ 27
106
+ 00:02:16,600 --> 00:02:24,800
107
+ ู„ุฃู† ุนู†ุฏูŠ ู‡ุฐู‡ ุฎุท ู‚ุฑุงุกุงุช ู„ุฃู†
108
+
109
+ 28
110
+ 00:02:24,800 --> 00:02:35,260
111
+ ุจุณุชุนู…ู„ curving ุฃูˆ ุชูˆุตูŠู„ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ line smooth ูˆ
112
+
113
+ 29
114
+ 00:02:35,260 --> 00:02:38,300
115
+ solid ู…ุงูŠูƒูˆู†ุด ู…ุซู„ุง ุฎู…ูŠู„ ูƒุชูŠุฑ ูŠุบุทูŠ ุงู„ุจูŠุงู†ุงุช ู„ุงุฒู…
116
+
117
+ 30
118
+ 00:02:38,300 --> 00:02:40,240
119
+ ุงู„ุจูŠุงู†ุงุช ูƒูˆู†ู‡ุงุด ุธุงู‡ุฑุฉ
120
+
121
+ 31
122
+ 00:02:46,080 --> 00:02:51,880
123
+ Use an appropriate scale for each axis ู…ู†ูุนุด ุฃุนู…ู„
124
+
125
+ 32
126
+ 00:02:51,880 --> 00:03:03,660
127
+ ู‡ุงูŠ variable XY ูˆุงุญุฏ ู…ุซู„ุง ู‡ุงูŠ
128
+
129
+ 33
130
+ 00:03:03,660 --> 00:03:10,340
131
+ ูƒู„ ุงู„ุจูŠุงู†ุงุช ูƒู„ู‡ุง ู…ุฑูƒุฒุฉ ู‡ู„ ุงู„ scale ู‡ุฐุง ู…ู†ุงุณุจุŸ ู„ุฃ
132
+
133
+ 34
134
+ 00:03:10,340 --> 00:03:16,660
135
+ ุฏู‡ ุงุฎุชุงุฑ scale ู…ู†ุงุณุจุงู„ุฌุฑุงูุงุช ู„ุง ูŠุฌุจ ุฃู† ุชุจุฏุฃ ู…ู†
136
+
137
+ 35
138
+ 00:03:16,660 --> 00:03:19,980
139
+ ุตูุฑุŒ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุด ู…ุถุงู„ุฉ ุชุจุฏุฃ ู…ู† ุตูุฑ ูŠุนู†ูŠ ู…ู…ูƒู†
140
+
141
+ 36
142
+ 00:03:19,980 --> 00:03:27,520
143
+ ุฃุจุฏุฃ ู‡ุฐู‡ ุชูƒูˆู† ู…ุซู„ุง ู…ู† ุนุดุฑุฉ ู…ุซู„ุง ุญุณุจ ุงู„ variable
144
+
145
+ 37
146
+ 00:03:27,520 --> 00:03:31,400
147
+ all
148
+
149
+ 38
150
+ 00:03:31,400 --> 00:03:34,380
151
+ data must fit on the graph scale ูŠุนู†ูŠ ุฒูŠ ู…ุง ู‚ู„ุช
152
+
153
+ 39
154
+ 00:03:34,380 --> 00:03:41,630
155
+ ู„ุงุฒู… ุชุงุฎุฏ ูƒู„ scale a keymust provide if there is
156
+
157
+ 40
158
+ 00:03:41,630 --> 00:03:43,870
159
+ more than one in the variable ู…ุซู„ุง ุนู†ุฏูŠ ุฃูƒุชุฑ ู…ู†
160
+
161
+ 41
162
+ 00:03:43,870 --> 00:03:49,370
163
+ variable ู‡ุงูŠ ุนู†ุฏูŠ ู‡ู†ุง ู…ุซู„ุง
164
+
165
+ 42
166
+ 00:03:49,370 --> 00:04:01,150
167
+ ู‡ุงุฏูŠ V ู‡ุงุฏูŠ ู…ุซู„ุง ู‡ุงูŠ ุนู†ุฏูŠ ู…ุซู„ุง
168
+
169
+ 43
170
+ 00:04:01,150 --> 00:04:05,290
171
+ ู‡ุงุฏูŠ ุจุฏูŠ ุฃุนู…ู„ ุฃู†ุง ู‡ุงุฏูŠ ู…ุซู„ุง passenger car
172
+
173
+ 44
174
+ 00:04:10,510 --> 00:04:17,090
175
+ ู‡ุฐู‡ private car ู…ุซู„ุง ุงู„ุชุงู†ูŠุฉ private car ู‡ุฐู‡ ู…ุซู„ุง
176
+
177
+ 45
178
+ 00:04:17,090 --> 00:04:27,630
179
+ ู…ุซู„ุซุงุช ู‡ุฐู‡ ู…ุซู„ุซ buses ูู„ุงุฒู… ุงุนู…ู„ legend ุงูˆ label
180
+
181
+ 46
182
+ 00:04:27,630 --> 00:04:30,710
183
+ ุจุฏู‡
184
+
185
+ 47
186
+ 00:04:30,710 --> 00:04:35,730
187
+ ุงุญุท ุนู„ูˆุงู† ู‡ู†ุง velocity ู…ุซู„ุง
188
+
189
+ 48
190
+ 00:04:39,940 --> 00:04:48,960
191
+ versus time for ู…ุซู„ุง different types
192
+
193
+ 49
194
+ 00:04:48,960 --> 00:05:02,480
195
+ of vehicles ู„ุจุฑูƒุจุงุช ู…ุฎุชู„ูุฉ ุงู„
196
+
197
+ 50
198
+ 00:05:02,480 --> 00:05:05,600
199
+ text ุงู„ุชุฏุฑูŠุฌุงุช
200
+
201
+ 51
202
+ 00:05:09,720 --> 00:05:15,580
203
+ ู…ุซู„ุง ุฏูŠ high time high
204
+
205
+ 52
206
+ 00:05:15,580 --> 00:05:20,940
207
+ time second high velocity meter per second ุฏู…ุงู†
208
+
209
+ 53
210
+ 00:05:20,940 --> 00:05:29,600
211
+ ุฃุฏุฑุฌ ู„ูˆ ูƒู†ุช ุฏูŠ major text ู‡ุงูŠ
212
+
213
+ 54
214
+ 00:05:29,600 --> 00:05:35,960
215
+ ุนุดุฑุฉ ู…ุซู„ุง ุนุดุฑูŠู† ุชู„ุงุชูŠู† ุงุฑุจุนูŠู† ูˆ ููŠู† ุฏูŠ minor text
216
+
217
+ 55
218
+ 00:05:39,120 --> 00:05:49,020
219
+ ูƒู„ู‡ ุจูŠูƒูˆู† ู„ุฌูˆุฉ ุนู†ุฏ ู‡ู†ุง ู…ุซู„ุง ู‡ุงูŠ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ
220
+
221
+ 56
222
+ 00:05:49,020 --> 00:05:56,320
223
+ ุงุฑุจุนุฉ ู…ุซู„ุง ู‡ุฐุง ู‡ุชูƒูˆู† ู…ุงููŠุด
224
+
225
+ 57
226
+ 00:05:56,320 --> 00:06:01,220
227
+ ุงุฏุงุก ุงุญุท ู…ุซู„ุง ุงุฑู‚ุงู… ุงุนู…ู„ ุฒุญู…ุฉ ููŠ ุงู„ุฃุฑู‚ุงู…ู…ู† ุนุงู…ู„
228
+
229
+ 58
230
+ 00:06:01,220 --> 00:06:05,360
231
+ ู‡ูŠุญูƒูŠ ู‡ุฐู‡ ุนุดุฑุฉ ู‡ุฐู‡ ู‡ุชูƒูˆู† ุงูƒูŠุฏ ูˆุงุญุฏ ูˆู„ุง ุงุชู†ูŠู† ุงุชู†ูŠู†
232
+
233
+ 59
234
+ 00:06:05,360 --> 00:06:09,100
235
+ ุงุชู†ูŠู† ุงุฑุจุน ุณุช ู…ู† ุนุดุฑุฉ ูุจุญุท ุนู„ู‰ ุงู„ major text ุจุฑู‚ู…
236
+
237
+ 60
238
+ 00:06:09,100 --> 00:06:17,700
239
+ ุจุณ ุจุญุทุด ุฃุฑู‚ุงู… ูƒุชูŠุฑ ุจูŠุตูŠุฑ ุฒุญู…ุฉ ูˆ ุจูŠุตูŠุฑ ุตุนุจุฉ ุงู„ู‚ุฑุงุฉ
240
+
241
+ 61
242
+ 00:06:17,700 --> 00:06:23,360
243
+ ุงู„ู„ูŠ ู‡ู†ุดูˆู ุฃู†ูˆุงุน ุงู„ chart types ุฃู†ูˆุงุนู‡ุง ุงูˆู„ ุงู† ู‡ูˆ
244
+
245
+ 62
246
+ 00:06:23,360 --> 00:06:27,550
247
+ ุนู†ุฏูŠ ุงู„ columnุฎู„ู‘ู‚ ู‡ูˆ ุงู„ column .. ูู‰ ู†ุงุณ ูŠุณู…ูˆู†ู‡
248
+
249
+ 63
250
+ 00:06:27,550 --> 00:06:30,910
251
+ column bar graph ุจุณ ู‡ูˆ ุฃุฏู‚ ู‡ุฐุง column ุงู„ column
252
+
253
+ 64
254
+ 00:06:30,910 --> 00:06:36,270
255
+ ุจูŠูƒูˆู† ุงู„ data vertical ู‡ุฐุง column ุงู„ bar ุจูŠูƒูˆู†
256
+
257
+ 65
258
+ 00:06:36,270 --> 00:06:40,930
259
+ ุฃูŠุดุŸ ุฃูู‚ูŠุŒ ู‡ู†ุด ุจุนุฏ ุดูˆูŠุฉุŒ ู‡ุฐุง column chart ุจุณ ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:06:40,930 --> 00:06:45,950
263
+ ู‡ูŠ number of studentsุนู†ุฏูŠ .. ุนู†ุฏูŠ ู‡ู†ุง ููŠ .. ููŠ ูˆู„ุง
264
+
265
+ 67
266
+ 00:06:45,950 --> 00:06:50,470
267
+ .. ููŠ ุทู„ุงุจ ุจูŠู„ุนุจูˆุง ูƒุฑุฉ ู‚ุฏู… ููŠ ุฃุณุจุงุญุฉ ุจ .. ู‡ุฐุง ุงู„
268
+
269
+ 68
270
+ 00:06:50,470 --> 00:06:53,570
271
+ football .. ู‡ุฐุง ุงู„ football ุงู„ุฃู…ุฑูŠูƒูŠ ู‡ุฐุง swimming
272
+
273
+ 69
274
+ 00:06:53,570 --> 00:06:57,410
275
+ ุฃุณุจุงุญุฉ ููŠ ุงู„ soccer ู‡ูŠ ูƒุฑุฉ ู‚ุฏู… ุจุชุงุนุชู†ุง ููŠ ุนู†ุฏ ุงู„
276
+
277
+ 70
278
+ 00:06:57,410 --> 00:07:00,170
279
+ ice hockey ู„ุนุจุฉ ุงู„ hockey ูˆ ููŠ ุนู†ุฏูƒ ุงู„ baseball
280
+
281
+ 71
282
+ 00:07:00,170 --> 00:07:04,650
283
+ ูููŠ ุนู†ุฏูŠ ูŠุนู†ูŠ ุจูŠู„ุนุจูˆุง ุงู„ football ุชู„ุช ุทู„ุงุจ ุจูŠู„ุนุจูˆุง
284
+
285
+ 72
286
+ 00:07:04,650 --> 00:07:11,270
287
+ ุงู„ football ูˆ ุงุชู†ูŠู† ุจูŠุญุจูˆุง ุงู„ุฃุณุจุงุญุฉ ูˆ ุฎู…ุณุฉ ุจูŠุญุจูˆุง
288
+
289
+ 73
290
+ 00:07:11,270 --> 00:07:18,660
291
+ ุงู„ soccerูˆ ุงู„ู‡ูˆูƒูŠ ูˆุงุญุฏ ูˆ ุงู„ุจูŠุณุจูˆู„ ุงุฑุจุน ู„ู…ุง ุชุดุจุน
292
+
293
+ 74
294
+ 00:07:18,660 --> 00:07:24,980
295
+ ุชู„ุงุชุฉ ูˆ ุงุชู†ูŠู† ุฎู…ุณุฉ ุฎู…ุณุฉ ุนุดุฑุฉ ุนุดุฑุฉ ูˆุงุญุฏ ุงุญุฏุงุด ูˆ
296
+
297
+ 75
298
+ 00:07:24,980 --> 00:07:31,480
299
+ ุงุฑุจุน ุฎู…ุณุงุด ุทุงู„ุจ ูุงู†ุง ุนุงู…ู„ bar chartbar chart ุงู„ x
300
+
301
+ 76
302
+ 00:07:31,480 --> 00:07:35,280
303
+ -axis ู‡ู†ุง ุงู†ุฏูŠ ุนูŠุงุด ุงู„ู†ูˆุน ุงู„ sport ูŠุนู†ูŠ ู‡ูˆ ู„ุงุญุธูˆุง
304
+
305
+ 77
306
+ 00:07:35,280 --> 00:07:38,820
307
+ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ุณู…ูŠ ุงู„ x-axis ุงู„ sport ูˆ ุงู„ y-axis
308
+
309
+ 78
310
+ 00:07:38,820 --> 00:07:42,260
311
+ number of students ู…ุงููŠุด ู‡ู†ุง ูˆุงุญุฏุฉ ูุนู…ู„ู‡ ู‡ู†ุง ูˆุงุญุฏ
312
+
313
+ 79
314
+ 00:07:42,260 --> 00:07:46,120
315
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ู„ุงุญุธูˆุง ููŠ ุนู†ุฏูŠ ู‡ู†ุง ู‡ุฐุง ู‡ูˆ
316
+
317
+ 80
318
+ 00:07:46,120 --> 00:07:52,380
319
+ ุงู„ bar ุงู„ุขู† ู‡ูˆ ู…ุนุทูŠ ุฃู„ูˆุงู† ู…ุฎุชู„ูุฉ ุฑู‚ู… ูˆุงุญุฏ ูˆ ุจุนุฏูŠู†
320
+
321
+ 81
322
+ 00:07:52,380 --> 00:07:58,320
323
+ ุงุนู…ู„ label ุงุฐุง ุนู…ู„ุช ู‡ุฐุง ุจุฏูˆู† ุงู„ label ู‡ุฐุง ู…ุด ู‡ูู‡ู…
324
+
325
+ 82
326
+ 00:08:00,130 --> 00:08:05,930
327
+ ุงู„ู„ูŠ ู‡ูˆ title sports played ู„ุญุธุฉ ุนู†ุฏูƒ ู‡ุฐู‡ major
328
+
329
+ 83
330
+ 00:08:05,930 --> 00:08:12,710
331
+ ู‡ุฐุง minor ุงุฎู ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ column chart ุงูˆ column
332
+
333
+ 84
334
+ 00:08:12,710 --> 00:08:16,590
335
+ graph ูุนู†ุฏูŠ
336
+
337
+ 85
338
+ 00:08:16,590 --> 00:08:22,150
339
+ ุงู„ู„ูŠ ู‡ูˆ line graph line graph ุนู†ุฏู‡ุง ู†ู…ุงุดูŠ ุงู„
340
+
341
+ 86
342
+ 00:08:22,150 --> 00:08:29,140
343
+ monthly population ุนู„ู‰ ุงู„ X ุฑูƒุฒ ุญุงุทุฉ ุงู„ุดู‡ุฑู‡ู†ุง ูˆุงุญุฏ
344
+
345
+ 87
346
+ 00:08:29,140 --> 00:08:32,220
347
+ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุนุดุฑ
348
+
349
+ 88
350
+ 00:08:32,220 --> 00:08:37,260
351
+ ุงุญุฏุงุด ุงุชู†ุงุด ุทุจุนุง
352
+
353
+ 89
354
+ 00:08:37,260 --> 00:08:42,980
355
+ ูŠุนู†ูŠ ุงู†ุง .. ูŠุนู†ูŠ ุงู†ุง ุทุจุนุง ู‡ุญุทู‡ ุจุงู„ุนู…ุฏุฉ ูŠุนู†ูŠ ู‡ุฐุง
356
+
357
+ 90
358
+ 00:08:42,980 --> 00:08:49,680
359
+ ุงู†ุง ุจุตู†ูู‡ ูŠุนู†ูŠ ุณูŠุก ุงู„ graph ู‡ุฐุง ูŠุนู†ูŠ ุงู„ text ุจุชุงุนุฉ
360
+
361
+ 91
362
+ 00:08:49,680 --> 00:08:57,240
363
+ ุงู„ month ู…ุด ูˆุงุถุญุฉ ุงู†ุง ุจูุถู„ ุฃุญุท text ูˆุงุถุญุฉ ุทุจุนุง ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:08:57,240 --> 00:09:00,950
367
+ ุงู„ู†ู‚ุงุชุงู„ู€ line graph ุจูŠู† ูƒู„ ู†ู‚ุทุฉ ูˆ ู†ู‚ุทุฉ ุจูˆุงุณุทุฉ ููŠู‡
368
+
369
+ 93
370
+ 00:09:00,950 --> 00:09:05,410
371
+ ุฎุท ุนุดุงู† ูŠุณู…ูˆู‡ line graph ููŠู‡ ู„ุนู†ูˆุงู† monthly
372
+
373
+ 94
374
+ 00:09:05,410 --> 00:09:10,690
375
+ population ูˆ ููŠู‡ ู„ุนู†ูˆุงู† horizontal axis ุงู„ month
376
+
377
+ 95
378
+ 00:09:10,690 --> 00:09:13,850
379
+ ูŠุนู†ูŠ
380
+
381
+ 96
382
+ 00:09:13,850 --> 00:09:18,290
383
+ ู‡ูˆ ูƒุงุชุจ months ุงู„ุฃุดู‡ุฑ ูŠุนู†ูŠ ู‡ุฐุง ุฎู„ุท ุฎุทุฉ ู„ุบูˆูŠ
384
+
385
+ 97
386
+ 00:09:18,290 --> 00:09:25,270
387
+ ู…ุงุชุชุจุฑู‡ูŠุงุด month ุนู†ุฏูƒ ุงู„ populationู„ูˆ ูƒุงู†ุช ู…ุงุถูŠ
388
+
389
+ 98
390
+ 00:09:25,270 --> 00:09:30,110
391
+ ุฃุญูŠุงู† ุงู„ุฃุฑู‚ุงู… ูƒุจูŠุฑุฉ ูƒุชูŠุฑ ู…ุซู„ุง ุฎู…ุณ ู…ู„ูŠูˆู†๏ฟฝ๏ฟฝ ุณุช ู…ู„ูŠูˆู†ุŒ
392
+
393
+ 99
394
+ 00:09:30,110 --> 00:09:33,150
395
+ ุจุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ scientific notation .. scientific
396
+
397
+ 100
398
+ 00:09:33,150 --> 00:09:38,530
399
+ notation ุฃูˆ ุจูƒุชุจ ู…ุซู„ุง ู…ู„ุงุญุธุฉ population is in
400
+
401
+ 101
402
+ 00:09:38,530 --> 00:09:43,850
403
+ millions or in thousands or in hundreds ุจูƒูˆู† ูƒุฐู„ูƒ
404
+
405
+ 102
406
+ 00:09:43,850 --> 00:09:46,230
407
+ ุจูƒูˆู† ุฃุนุฑู ุฅู† ู‡ุฐุง ุญุถูˆุฑ ุจุญุซ ู…ุซู„ุง ููŠ ู…ู„ูŠูˆู† ุฃูˆ ููŠ ู…ุฆุฉ
408
+
409
+ 103
410
+ 00:09:46,230 --> 00:09:59,000
411
+ ุฃู„ู ุฃูˆ ููŠ ุฃู„ูู‡ุฐุง ู‡ูˆ line graph ุงู„ู†ูˆุน ุงู„ุชุงู„ุช ุงู„
412
+
413
+ 104
414
+ 00:09:59,000 --> 00:10:03,060
415
+ pie chart ู‡ุฐุง
416
+
417
+ 105
418
+ 00:10:03,060 --> 00:10:05,980
419
+ ุงู„ pie chart ูˆุฒูŠู†ูŠ .. ูˆุงุฑุฌูŠู†ูŠ ุงู„ุชูˆุฒูŠุน ุงู„ุนุฑู‚ูŠ
420
+
421
+ 106
422
+ 00:10:05,980 --> 00:10:13,900
423
+ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช ุงู„ู…ุชุญุฏุฉ ุฃูˆู„ ุงู„ุดูŠุก ุงูˆู„ ุดูˆ ู‡ูˆ it
424
+
425
+ 107
426
+ 00:10:13,900 --> 00:10:19,220
427
+ is a pie chart like is it a good one or bad oneุฃูˆ
428
+
429
+ 108
430
+ 00:10:19,220 --> 00:10:22,020
431
+ ุจุฏูŠุด ุงุญูƒูŠ ุจุนุฏ ุงูŠุด ุงู„ missing ููŠ ุงู„ chart ู‡ุฐุง
432
+
433
+ 109
434
+ 00:10:22,020 --> 00:10:28,200
435
+ ุงู„ุนู†ูˆุงู†
436
+
437
+ 110
438
+ 00:10:28,200 --> 00:10:31,600
439
+ ุงุฎุฑูˆู†
440
+
441
+ 111
442
+ 00:10:31,600 --> 00:10:35,820
443
+ ุงูƒุชุจ ethnic ethnic groups distribution in the
444
+
445
+ 112
446
+ 00:10:35,820 --> 00:10:39,640
447
+ united states ุชูˆุฒูŠุฉ ุงู„ู‚ุฑู‚ ู„ู„ุณูƒุงู† ููŠ ุงู„ูˆู„ุงูŠุงุช
448
+
449
+ 113
450
+ 00:10:39,640 --> 00:10:42,120
451
+ ุงู„ู…ุชุญุฏุฉ ุงูŠู‡ ุงู„ุนู†ูˆุงู† ุงู†ุง ุงู†ุงู ุชูˆุฒูŠุฉ ุงู„ู‚ุฑู‚ ู…ู† ุงู„ ..
452
+
453
+ 114
454
+ 00:10:42,120 --> 00:10:46,260
455
+ ู…ู† ุงู„ legend ู‡ุฐุง ุงู„ู„ูŠ ู‡ุงู†ูƒุงุชุจ ุงู†ู‡ ู‡ุงุฏ Hispanic ู‡ุงุฏ
456
+
457
+ 115
458
+ 00:10:46,260 --> 00:10:50,240
459
+ ู…ู† ุฃุตูˆู„ ุฃุณุจุงู†ูŠุฉููŠ ุงู„ white ุงู„ุจูŠุถ ููŠ ุงู„ African
460
+
461
+ 116
462
+ 00:10:50,240 --> 00:10:53,660
463
+ American ุงู„ู„ูŠ ู‡ูˆ ู…ู† ุฃุตูˆู„ ุฃูุฑูŠู‚ูŠุฉ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
464
+
465
+ 117
466
+ 00:10:53,660 --> 00:10:57,480
467
+ ุงู„ American Indians ุงู„ู„ูŠ ู‡ู… ุงู„ุญู…ุฑ ุงู„ู„ูŠ ู‡ู… ู‡ุฐู‡
468
+
469
+ 118
470
+ 00:10:57,480 --> 00:11:01,860
471
+ ุจุนุฏูŠู† ููŠ ุนู†ุฏูŠ ุงู„ Asian Pacific ู…ู† ุฃุตูˆู„ ุงู„ุดุฑู‚ ..
472
+
473
+ 119
474
+ 00:11:01,860 --> 00:11:07,700
475
+ ุงู„ุดุฑู‚ ุฃุณูŠุง ูˆ ููŠ ุนู†ุฏูŠ ุงู„ุนุฑู‚ูŠุงุช ุงู„ุชุงู†ูŠุฉ others ูู‡ุฐุง
476
+
477
+ 120
478
+ 00:11:07,700 --> 00:11:13,320
479
+ by a chart ูŠุนู†ูŠ it is good enough ู„ูƒู† ุงู„ู…ุดูƒู„ุฉ ุฃู†ู‡
480
+
481
+ 121
482
+ 00:11:13,320 --> 00:11:15,360
483
+ ู…ุด ุญุงุทุท title ู„ู„igraph
484
+
485
+ 122
486
+ 00:11:20,010 --> 00:11:23,430
487
+ ูุงู†ุฏูŠ ุงู„ bar graph ุงู„ bar ุบูŠุฑ column ุจูŠูƒูˆู† ุงูŠู‡ ุงุดุŸ
488
+
489
+ 123
490
+ 00:11:23,430 --> 00:11:32,010
491
+ horizontal ุนู†ุฏูŠ ู‡ู†ุง ุงู„ู„ูŠ ุนู„ูˆุงู† ABC sales record
492
+
493
+ 124
494
+ 00:11:32,010 --> 00:11:35,290
495
+ ABC sales record ุทุจุนุง ููŠ ุญุงู„ุฉ ุงุฐุง ุจุญูƒูŠ records
496
+
497
+ 125
498
+ 00:11:35,290 --> 00:11:41,710
499
+ ุฏุงูŠู…ุง ุจุงุถุญ ู…ู…ูƒู† ุงุนู…ู„ ุงู† ุงู†ุง ู…ุชุญุฑูƒ ู…ุชุจุนุช
500
+
501
+ 126
502
+ 00:11:41,710 --> 00:11:45,770
503
+ ูˆ ุฃุณู„ ู…ุง ูŠุทู„ุน ูŠู†ุฒู„ ุฒูŠ ู‡ูŠูƒ ูˆุงุถุญุŸ
504
+
505
+ 127
506
+ 00:11:46,500 --> 00:11:49,740
507
+ ู„ุฃู†ู‡ ููŠ ุงู„ height ุงุฐุง ุจูŠุตูŠ ุจูŠุนู„ู‚ ูƒุชูŠุฑ ูˆ ุจุฏูƒ ุงู†ุช ..
508
+
509
+ 128
510
+ 00:11:49,740 --> 00:11:53,060
511
+ ูŠุนู†ูŠ ุชุฎูŠู„ ุงู†ุช ู…ุฑุชุจุท ููŠ ูƒูŠู ุงู†ุช ุจุชุญุฑูƒ ุฌุณู…ูƒ ูˆ ูƒูŠู
512
+
513
+ 129
514
+ 00:11:53,060 --> 00:11:56,700
515
+ ุชุทู„ุน ุนู„ูŠู‡ ู sales ูƒุชูŠุฑ ุตุงุฑุช ู…ุชุดุงุฑุฒุฉ ู‡ูŠูƒ ุนู„ู‰ ุงู„ net
516
+
517
+ 130
518
+ 00:11:56,700 --> 00:12:01,800
519
+ ู…ุซู„ุง ู…ุจูŠุนุงุช ุงู„ .. ุงู„ .. ู…ุจูŠุนุงุช ุงู„ุดุฑูƒุงุช ุงู„ .. ุงู„ ..
520
+
521
+ 131
522
+ 00:12:01,800 --> 00:12:06,320
523
+ ููŠ ุงู„ุชูƒู†ูˆู„ูˆุฌูŠุง ุงู„ .. ู…ุซู„ุง ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
524
+
525
+ 132
526
+ 00:12:06,320 --> 00:12:12,400
527
+ apple ุงู„ .. ุงู„ Samsung ุงู„ LG ูˆ ู‡ูƒุฐุง ูู‡ุฐุง part
528
+
529
+ 133
530
+ 00:12:12,400 --> 00:12:19,640
531
+ chartูŠุนู†ูŠ ุงู„ ABC sales record ู…ูˆุฒู‘ูŠู‡ุง ู„ู…ู†ุงุทู‚ ููŠ
532
+
533
+ 134
534
+ 00:12:19,640 --> 00:12:27,700
535
+ NorthุŒ ุดู…ุงู„ ูˆ ุฃุชูˆุงุชุฑ ุงุชุญุฏุฉุŒ ุฌู†ูˆุจุŒ ุดุฑู‚ุŒ ุบุฑุจุŒ ุงู„ุขู†
536
+
537
+ 135
538
+ 00:12:27,700 --> 00:12:38,600
539
+ ูŠุนู†ูŠ ุงู„ XX ู…ุด ูˆุงุถุญ ุฅูŠุด ู‡ูˆ ู‡ุฐุง ุงู„ุฏูˆู„ุงุฑ ูŠูˆุฑูˆ pound
540
+
541
+ 136
542
+ 00:12:38,600 --> 00:12:46,480
543
+ ูŠู†ู‡ุฐู‡ ู…ุซู„ุง ุฃู„ู ุฃู„ู ูˆู„ุง ุฃู„ู ู…ู„ูŠูˆู† ูุงู„ label ู‡ูŠูƒ ู…ุด
544
+
545
+ 137
546
+ 00:12:46,480 --> 00:12:52,360
547
+ ูˆุงุถุญ ุงู„ x axis ูˆุญุชู‰ ู‡ู†ุง ุงู„ .. ูŠุนู†ูŠ ุงู„ ab sales
548
+
549
+ 138
550
+ 00:12:52,360 --> 00:12:57,360
551
+ record ูˆูŠู†ุŸ
552
+
553
+ 139
554
+ 00:12:57,360 --> 00:13:06,100
555
+ ูˆูŠู†ุŸ ููŠ ุงู„ุตูŠู† ูˆู„ุง ููŠ ุงู„ุนุงู„ู… ูˆู„ุง ููŠ ุจุฑูŠุทุงู†ูŠุง ูˆู„ุง ููŠ
556
+
557
+ 140
558
+ 00:13:06,100 --> 00:13:10,990
559
+ ุงู„ูŠุงุจุงู† ู…ุด ูŠุนู†ูŠ ุงู„ุนู†ูˆุงู† ู…ุด .. ู…ุด .. ู…ุด ูˆุงุถุญุทุจุนุง
560
+
561
+ 141
562
+ 00:13:10,990 --> 00:13:17,790
563
+ ู‡ู†ุง .. ู‡ู†ุง ุงู„ year ู…ู…ูƒู† ุชุญูƒูŠ a b sales record in
564
+
565
+ 142
566
+ 00:13:17,790 --> 00:13:26,350
567
+ china for the years from 2013 to 2016 ุงู‡ ุงู„ู…ู†ูˆุงู†
568
+
569
+ 143
570
+ 00:13:26,350 --> 00:13:31,590
571
+ ู…ุด ูˆุงุถุญ ุงู„ x axis ุงู„ units ุจุชุงุนุชู‡ ู…ุด .. ู…ุด ูˆุงุถุญุฉ
572
+
573
+ 144
574
+ 00:13:31,590 --> 00:13:33,890
575
+ ุงู‡ ูููŠ ูƒุฐุง ู…ุดูƒู„ุฉ
576
+
577
+ 145
578
+ 00:13:37,410 --> 00:13:41,490
579
+ ููŠ ุนู†ุฏ ุงู„ area chart ุงู†ู‡ ุจุนุจูŠ ุงู„ู…ุณุงุญุฉ area ุงู„
580
+
581
+ 146
582
+ 00:13:41,490 --> 00:13:47,710
583
+ chart ุฎู„ู‘ูŠู†ูŠ ุงุทู„ุน ู‡ู†ุง
584
+
585
+ 147
586
+ 00:13:47,710 --> 00:13:52,930
587
+ ุจุฑุถู‡ ููŠ ู…ุดูƒู„ุฉ ููŠ ุงู„ year ุงูƒุชุจ ุงู„ year ู„ู„ x axis
588
+
589
+ 148
590
+ 00:13:52,930 --> 00:13:58,650
591
+ ุงู†ุง ูุงู‡ู… ุงู„ year ุจุณ ู‡ุฐุง 1750 1800 1850 1900 ุงู„ุงู†
592
+
593
+ 149
594
+ 00:13:58,650 --> 00:14:07,020
595
+ ู…ุงุชุฎู„ูŠุด ููŠ ุงู„ graphing ุงู„ู‚ุงุฑุฆ ูŠุณุชู†ุชุฌ ุงูŠุด ุจุชู‚ุตุฏุฃู†ุง
596
+
597
+ 150
598
+ 00:14:07,020 --> 00:14:11,780
599
+ ู…ุงู„ูŠุด ุงู†ุช ุงูŠุด ุจุชููƒุฑุŒ ุงูŠู‡ ุงู†ุง ููŠ ุงู„ู„ูŠ ุดุงูŠูู‡ุŸ ูŠู…ูƒู†
600
+
601
+ 151
602
+ 00:14:11,780 --> 00:14:18,100
603
+ ู‡ุฐู‡ ุงู„ููŠู† ูˆ ุฎู…ุณูŠู† ู‚ุทุนุฉุŒ
604
+
605
+ 152
606
+ 00:14:18,100 --> 00:14:21,240
607
+ ู…ุธุจูˆุทุŸ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ู‡ุฐู‡ ู‚ุทุนุฉุŒ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ
608
+
609
+ 153
610
+ 00:14:21,240 --> 00:14:27,980
611
+ ูŠุญูƒูŠ ุณู†ุฉุŒ ูŠู…ูƒู† ุญุฏ ุชุงู†ูŠ ูŠุญูƒูŠ ุทู† historic and
612
+
613
+ 154
614
+ 00:14:27,980 --> 00:14:32,750
615
+ estimated worldwide population growth by regionby
616
+
617
+ 155
618
+ 00:14:32,750 --> 00:14:37,590
619
+ region ู‡ูˆ ู…ุงุฎุฏ ุทุจุนุง different regions ู…ุน ู…ุงุฎุฏ Asia
620
+
621
+ 156
622
+ 00:14:37,590 --> 00:14:48,750
623
+ ูˆ Africa ูˆ Europe ูˆ America ูˆ ูˆุดูŠู†ูŠุง ุฎู…ุณ ู…ู†ุงุทู‚ ู‡ุฐุง
624
+
625
+ 157
626
+ 00:14:48,750 --> 00:14:52,330
627
+ ุจูŠุณู…ู‰ area plot ุงูˆ area graph ุงูˆ area chart
628
+
629
+ 158
630
+ 00:15:02,440 --> 00:15:07,880
631
+ ู…ู…ูƒู† ู‡ูŠ ุชุญูƒูŠ population in billions, billions is
632
+
633
+ 159
634
+ 00:15:07,880 --> 00:15:11,700
635
+ not an axis title, billions unit
636
+
637
+ 160
638
+ 00:15:17,020 --> 00:15:21,840
639
+ ุนู†ุฏูŠ XY scatter ุจูŠุฎุชู„ู ุนู† ุงู„ line plot ุงู† ุงู„ data
640
+
641
+ 161
642
+ 00:15:21,840 --> 00:15:26,820
643
+ ูƒู…ุง ู‡ูŠ ู…ูˆุงุตู„ุด ุจูŠู†ู‡ุง ู‡ุฐุง XY scatter ู‡ุงูŠ ุงู„ X axis
644
+
645
+ 162
646
+ 00:15:26,820 --> 00:15:32,380
647
+ ูˆู‡ูŠ ุงู„ Y axis ู‡ู†ุง ุทุงู„ ุนู†ูˆุงู† ู‡ู†ุง revenue versus
648
+
649
+ 163
650
+ 00:15:32,380 --> 00:15:37,660
651
+ ุงู„ุนูŠุฏุงุช customer satisfaction ูŠุนู†ูŠ ู‡ุงูŠ ุงู„
652
+
653
+ 164
654
+ 00:15:37,660 --> 00:15:40,780
655
+ customers ูƒู„ ู…ุง ุจุชุฑุถูŠ ุงู„ุฒุจูˆู† ุฃูƒุชุฑ ูƒู„ ู…ุง ุจูŠุฌูŠูƒ
656
+
657
+ 165
658
+ 00:15:40,780 --> 00:15:45,400
659
+ ุนูŠุฏุงุช ุฃูƒุชุฑ ูุงู„ู…ูุฑูˆุถ ู‡ู†ุง ูŠุญูƒูŠุด ู…ุด ูŠุญุท ุงู„ุนู†ูˆุงู† ู‡ู†ุง
660
+
661
+ 166
662
+ 00:15:47,100 --> 00:15:51,400
663
+ ู‡ู†ุง ู„ุฏูŠ ุงู„ customer satisfaction ูˆู‡ู†ุง ุงู„ุฑุจูŠุน ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:15:51,400 --> 00:16:01,380
667
+ ุจุงู„ุนูƒุณ ู‡ูˆ ู‚ุนุฏุช ุงู„ุนู†ูˆุงู† ุบู„ุท ุนู†ุฏู‡ ุตุญุŸ ู…ุนูƒูˆุณ customer
668
+
669
+ 168
670
+ 00:16:01,380 --> 00:16:04,780
671
+ satisfaction versus revenue ู„ุฃู† ุงู„ revenue ุญุทูˆ
672
+
673
+ 169
674
+ 00:16:04,780 --> 00:16:09,500
675
+ ุนู„ูŠู‡ ุน ุงู„ x axis ู„ุฃู† ุงู„ูˆุงุญุฏ ุงู„ู„ูŠ ุญูƒูŠ ู‡ูŠูƒ ุงูุชุฑุถุช ุงู†
676
+
677
+ 170
678
+ 00:16:09,500 --> 00:16:13,590
679
+ ุงู„ customer satisfaction ู‡ู†ุงู„ูƒู† ู‡ูˆ ุนุงู…ู„ ุงู„ุนูƒุณ ู‡ุฐุง
680
+
681
+ 171
682
+ 00:16:13,590 --> 00:16:19,070
683
+ ู…ู…ูƒู† ุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ customer satisfaction versus
684
+
685
+ 172
686
+ 00:16:19,070 --> 00:16:24,230
687
+ revenue ูˆู‡ูŠู† ุงูƒุชุจ ู„ู‡ูŠู† ุงู„ revenue ูˆู‡ูŠู† ุงู„ customer
688
+
689
+ 173
690
+ 00:16:24,230 --> 00:16:30,030
691
+ satisfaction index
692
+
693
+ 174
694
+ 00:16:30,030 --> 00:16:34,090
695
+ ูุจุฏู‡ุง ุชู†ุชุจู‡ูˆุง ู„ู„ุชูุงุตูŠู„ ู‡ุฐู‡
696
+
697
+ 175
698
+ 00:16:40,160 --> 00:16:42,640
699
+ ูุนู†ุฏู†ุง surface plot surface plot ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูŠูƒูˆู†
700
+
701
+ 176
702
+ 00:16:42,640 --> 00:16:46,560
703
+ ุนู†ุฏูŠ a dependent variable is a function of two
704
+
705
+ 177
706
+ 00:16:46,560 --> 00:16:50,480
707
+ independent variables ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ุซู„ู‹ุง ุงุนุชุจุฑุชู‡ุง ุฏูŠ
708
+
709
+ 178
710
+ 00:16:50,480 --> 00:17:00,120
711
+ ู‡ุฐุง ุงู„ู…ุญูˆุฑ z ูˆ ู‡ุฐุง y ู‡ุฐุง
712
+
713
+ 179
714
+ 00:17:00,120 --> 00:17:07,320
715
+ x ูˆ ู‡ุฐุง z ู‡ุฐุง ุดูƒู„ู‡ ุนู„ู‰ ุงู„ู…ุซู„ ู…ุนู…ูˆู„ ู‡ุฐุง ุงุณู…ู‡
716
+
717
+ 180
718
+ 00:17:07,320 --> 00:17:09,020
719
+ surface plot
720
+
721
+ 181
722
+ 00:17:11,010 --> 00:17:19,470
723
+ ูŠุนู†ูŠ ู…ุด ุญุงุทุท labels ุตุญุŸ ู…ููŠุด ุญุงุทุท title ุตุญุŸ ุงู„ุขู†
724
+
725
+ 182
726
+ 00:17:19,470 --> 00:17:25,350
727
+ ู‡ูˆ ุนุงู…ู„ labeling ู„ู„ .. ุงู„ู„ุญุธุฉ ูˆ ุฃู†ุง ุนู†ุฏูŠ ุฒุญู…ุฉ ููŠ
728
+
729
+ 183
730
+ 00:17:25,350 --> 00:17:32,390
731
+ ุงู„ labeling ุงู„ู…ูุฑูˆุถ ูŠูƒูˆู† ุญุฌู… ุงู„ุฎุท ุฃุตุบุฑ ุดูˆูŠุฉุนุดุงู†
732
+
733
+ 184
734
+ 00:17:32,390 --> 00:17:36,330
735
+ ู…ุงูŠุตูŠุฑุด .. ูŠุนู†ูŠ ููŠ ุฒุญู…ุฉ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ุŒ ู‡ูŠู† ู…ุงุดูŠ
736
+
737
+ 185
738
+ 00:17:36,330 --> 00:17:43,530
739
+ ุญุงู„ู‡ุŒ ู…ุงููŠุด title .. ู…ุงููŠุด title ุนู†ุฏูŠุŒ ู†ุนู…ุŸ ูƒู„ู…ุฉ
740
+
741
+ 186
742
+ 00:17:43,530 --> 00:17:50,710
743
+ ุจุชุงุนุฉ ุชู‚ูˆู„ูƒ ุงู„ู„ูŠ ุจูŠุจู‚ู‰ ูˆุฑุงูƒุŸ ู„ุฃ ู‡ูˆ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุงู„
744
+
745
+ 187
746
+ 00:17:50,710 --> 00:17:54,110
747
+ Z ูŠุธู‡ุฑ ูƒุงู† ุนุดุงู† ุชูˆุฒูŠุน ู„ู„ุฃู„ูˆุงู†ุŒ ุฎุงุฑุทุฉ ุงู„ุฃู„ูˆุงู†
748
+
749
+ 188
750
+ 00:17:56,740 --> 00:18:00,020
751
+ ู…ู…ูƒู† ุฅุฐุง ูƒุงู†ุช ุชุชุนุจุฑ ู…ุซู„ุง ุนู† magnetic field ุฃูˆ
752
+
753
+ 189
754
+ 00:18:00,020 --> 00:18:02,140
755
+ stress distribution ุฃูˆ ุดูŠุก ุฒูŠ ุฐู„ูƒ ู…ู…ูƒู† ู†ุนู…ู„ู‡ุง
756
+
757
+ 190
758
+ 00:18:02,140 --> 00:18:04,520
759
+ ุฃู„ูˆุงู† ุจุณ ู‡ูˆ ุจุบุถ ุงู„ู†ุธุฑ ู‡ูˆ ุจูŠุญูƒูŠ ุนู† z variable
760
+
761
+ 191
762
+ 00:18:04,520 --> 00:18:11,940
763
+ ูุงู„ุฃู„ูˆุงู†ู‡ุง ุฏู‡ ุจุณ visual ุนุดุงู† ุชุดูˆู ุชุชู…ูŠุฒ ุงู„ุงุดูŠ ููŠ
764
+
765
+ 192
766
+ 00:18:11,940 --> 00:18:19,540
767
+ ุงู„ combo plot ุงู„ combo plot ูŠุนู†ูŠ ุงุณู…ู‡ combo ูŠุนู†ูŠ
768
+
769
+ 193
770
+ 00:18:19,540 --> 00:18:22,620
771
+ ุจุญุท ุฃูƒุชุฑ ู…ู† ุดุบู„ุฉ ุนู„ู‰ ู†ูุณ ุงู„ graph ุจุฃูƒุชุฑ ู…ู† ุทุฑูŠู‚ุฉ
772
+
773
+ 194
774
+ 00:18:22,620 --> 00:18:24,400
775
+ ุชุนุจูŠุฑูŠุฉ ุฃูƒุชุฑ ู…ู† ุงู„ graph ู…ุซู„ุง
776
+
777
+ 195
778
+ 00:18:29,770 --> 00:18:34,130
779
+ ุนู†ุฏ ุงู„ุฎุท ู‡ุฐุง ููŠ ุนู†ุฏูŠ ุงู„ุนู†ูˆุงู† firm billable hours
780
+
781
+ 196
782
+ 00:18:34,130 --> 00:18:38,790
783
+ and revenue collections for the year ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ
784
+
785
+ 197
786
+ 00:18:38,790 --> 00:18:42,510
787
+ ุงู„ firm ู‡ุฐุง ู‡ูˆ ุงู„ firm billable hours ู‡ุฐุง curve
788
+
789
+ 198
790
+ 00:18:42,510 --> 00:18:49,250
791
+ ุฅูŠุด ู…ุงู„ู‡ line chart line chart ุงู„ุขู† revenue
792
+
793
+ 199
794
+ 00:18:49,250 --> 00:18:52,010
795
+ collections for the year ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ bar
796
+
797
+ 200
798
+ 00:18:52,010 --> 00:18:55,970
799
+ ูŠุนู†ูŠ ุญุงุทุท ุชู…ุงู…ุง ุงู„ graph ุนู„ู‰ ู†ูุณ ุงู„ graph ุญุงุทุท bar
800
+
801
+ 201
802
+ 00:18:55,970 --> 00:19:00,850
803
+ chartู…ุน linear chart ุงูˆ ุงูŠ ู†ูˆุน ูŠุนู†ูŠ ุงุญุท ุงูƒุชุฑ ู…ู†
804
+
805
+ 202
806
+ 00:19:00,850 --> 00:19:04,390
807
+ ู†ูˆุน ู…ู† ุงู„ charts ุนู„ู‰ ู†ูุณ ุงู„ graph ุนุดุงู† ุงุณู…ู‡ combo
808
+
809
+ 203
810
+ 00:19:04,390 --> 00:19:13,510
811
+ combo ูŠุนู†ูŠ collection ุจุนุถ
812
+
813
+ 204
814
+ 00:19:13,510 --> 00:19:19,990
815
+ ุงุญูŠุงู† ู…ู…ูƒู† ุชุญุท ุงู„ ุงู„ units ุนู„ู‰ ุงู„ุฌู‡ุชูŠู† ุจุชุณู‡ู„
816
+
817
+ 205
818
+ 00:19:19,990 --> 00:19:27,390
819
+ ุงู„ู‚ุฑุงุนุฉ ู…ู…ูƒู† ุชุญุทู‡ุง up up and down up and down
820
+
821
+ 206
822
+ 00:19:30,870 --> 00:19:34,090
823
+ ุงู„ู€ firm revenues ูŠุนู†ูŠ ููŠ ุฎู„ู„ .. ุงูŠุด ุงู„ุฎู„ู„ ููŠ ู‡ุฐุง
824
+
825
+ 207
826
+ 00:19:34,090 --> 00:19:44,210
827
+ ุงู„ chartุŸ
828
+
829
+ 208
830
+ 00:19:44,210 --> 00:19:51,950
831
+ ุงู‡ ุงู„ุงู† ููŠ ุงู„ุชุณู…ูŠุฉ ุนู†ุฏู‡ firm billable awards ูˆุงุถุญ
832
+
833
+ 209
834
+ 00:19:51,950 --> 00:19:56,610
835
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ awards ู‡ูˆ
836
+
837
+ 210
838
+ 00:19:56,610 --> 00:20:04,760
839
+ ุฏูŠ ุงูƒุชุจ ู‡ู†ุงavailable hours ูŠูƒุชุจ ุจูŠู† ุงูŠู‡ H hour ู‡ูŠู†
840
+
841
+ 211
842
+ 00:20:04,760 --> 00:20:12,140
843
+ ุงู„ revenues ูŠูƒุชุจ ู‡ูŠู† ุงู„ revenue ูˆ ู„ุญุฏุงุช ุงูŠู‡ ุฏูˆู„ุงุฑ
844
+
845
+ 212
846
+ 00:20:12,140 --> 00:20:15,880
847
+ ุนุดุงู† ุงู…ูŠุฒ ู…ุงูŠุฎู„ูŠุด ูˆุงู„ู„ู‡ ุงููƒุฑ ุงู„ุนูƒุณ ุจููƒุฑ ุนุงุฏูŠ ุงูู‡ู…ุช
848
+
849
+ 213
850
+ 00:20:15,880 --> 00:20:19,000
851
+ ุนุดุงู† ุงู„ุฏูˆู„ุงุฑ ุงู„ sign ุงู„ุฏูˆู„ุงุฑ ุงู„ sign ุงู„ุฏูˆู„ุงุฑ ุงู„
852
+
853
+ 214
854
+ 00:20:19,000 --> 00:20:22,940
855
+ sign ุทุจุนุง
856
+
857
+ 215
858
+ 00:20:22,940 --> 00:20:26,990
859
+ ู‡ูˆ ุนู…ู„ ุดุบู„ ูƒูˆูŠุณุฉุทุงู„ู…ุง ุนู†ุฏูŠ bar chart ู‡ุนู…ู„ ุฎุทูˆุท
860
+
861
+ 216
862
+ 00:20:26,990 --> 00:20:38,750
863
+ ุฃูู‚ูŠุฉ ูƒู„ู…ุฉ chart ู‡ุนู…ู„ ุฎุทูˆุท ุฃูู‚ูŠุฉ ุชุณุนุฉ
864
+
865
+ 217
866
+ 00:20:38,750 --> 00:20:46,850
867
+ ููŠ ุงุณู…ู‡ polar area plot polar area chart demo ู‡ุฐุง
868
+
869
+ 218
870
+ 00:20:46,850 --> 00:20:52,370
871
+ ุงุณู…ู‡ ุนุทูŠู†ุฉ ุณุฑุนุงุช ูˆุงุชุฌุงู‡
872
+
873
+ 219
874
+ 00:20:55,970 --> 00:21:02,690
875
+ ุงู„ุฑูŠุญ ููŠ ู…ู†ุทู‚ุฉ ู…ุนูŠู†ุฉ ุทุจุนุง ู‡ู†ุง ุนู†ุฏูŠ ุตูˆุฑุฉ ุงู„ุฑูŠุญ ุฎู…ุณุฉ
876
+
877
+ 220
878
+ 00:21:02,690 --> 00:21:08,690
879
+ ู…ุชุฑ per second or above ู‡ูŠ
880
+
881
+ 221
882
+ 00:21:08,690 --> 00:21:13,470
883
+ ู‡ุฐู‡ ุชูˆุฒูŠุน ุตูˆุฑุฉ ุงู„ุฑูŠุญ ุฎู…ุณุฉ ู…ุชุฑ per second or above
884
+
885
+ 222
886
+ 00:21:13,470 --> 00:21:18,330
887
+ ุทุจุนุง ู„ุงุญุธูˆุง ุนู†ุฏูŠ ู‡ู†ุง ููŠ ุนู†ุฏูŠ .. ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
888
+
889
+ 223
890
+ 00:21:18,330 --> 00:21:19,210
891
+ ุฏูˆุงุฆุฑ
892
+
893
+ 224
894
+ 00:21:21,990 --> 00:21:25,430
895
+ ูŠุนู†ูŠ ู‡ูŠู† ุตูุฑ ููŠ ุงู„ู…ูŠุฉุŒ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุงู„ุฏูˆู„ุฉ
896
+
897
+ 225
898
+ 00:21:25,430 --> 00:21:29,190
899
+ ุงู„ูƒุจุฑู‰ ุนุดุฑุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุฎู…ุณุฉ ุฃุดู‡ุฑุŒ ุนุดุฑูŠู†ุŒ ุฎู…ุณุฉ ูˆ
900
+
901
+ 226
902
+ 00:21:29,190 --> 00:21:32,770
903
+ ุนุดุฑูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ูˆ ุจุนุฏูŠู† ุนู†ุฏูŠ ุงู„ directions ุนู†ุฏูŠ
904
+
905
+ 227
906
+ 00:21:32,770 --> 00:21:39,930
907
+ east, north, west, southุŒ ุนู†ุฏูŠ north east, north
908
+
909
+ 228
910
+ 00:21:39,930 --> 00:21:46,310
911
+ westุŒ ุนู†ุฏูŠ south west, south eastุŒ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนู†ุง
912
+
913
+ 229
914
+ 00:21:46,310 --> 00:21:46,690
915
+ ุนู„ู‰ ู‡ุฐู‡
916
+
917
+ 230
918
+ 00:21:50,070 --> 00:21:55,510
919
+ ุตุงุฑุช ุงู„ุฑูŠุญุฉ ุชูƒูˆู† ุฎู…ุณุฉ
920
+
921
+ 231
922
+ 00:21:55,510 --> 00:22:00,200
923
+ .. ุฎู…ุณุฉ ู…ูŠุฉ ุชูƒูˆู† ุฃุนู„ู‰ ุฎุงุตุฉ ุจูŠู‡ ุงู„ secondุฎู…ุณุฉ ููŠ
924
+
925
+ 232
926
+ 00:22:00,200 --> 00:22:02,720
927
+ ุงู„ู…ุฆุฉ ู…ู† ุงู„ุงุญุชู…ุงู„ ุชูƒูˆู† ุฎู…ุณุฉ .. ุฎู…ุณุฉ ู…ู† ุงู„ุณุงูƒู†
928
+
929
+ 233
930
+ 00:22:02,720 --> 00:22:06,620
931
+ ุจุงุชุฌุงู‡ ุงู„ north ู…ุซู„ุง ุจุนุถ ุฃุญูŠุงู† ูˆุนู†ุฏูŠ ุฎู…ุณุงุดู ููŠ
932
+
933
+ 234
934
+ 00:22:06,620 --> 00:22:12,520
935
+ ุงู„ู…ุฆุฉ ุจุงุชุฌุงู‡ ุงู„ .. ุงู„ .. ู‡ู†ุง east ู‡ู†ุง north ููƒุชูŠุฑ
936
+
937
+ 235
938
+ 00:22:12,520 --> 00:22:16,120
939
+ ุจูŠุณุชุฎุฏู…ูˆู‡ุง ููŠ ุญูƒุงูŠุงุช ุตูˆุฑุฉ ุงู„ุฑูŠุญ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุชุณู…ู‰
940
+
941
+ 236
942
+ 00:22:16,120 --> 00:22:20,520
943
+ polar plot ู‡ูˆ ุงุณุชุฎุฏุงู… polar ู…ุน area polar area
944
+
945
+ 237
946
+ 00:22:20,520 --> 00:22:26,960
947
+ plots ุทุจุนุง ููŠ ุฃู†ูˆุงุน ุชุงู†ูŠุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ุฃุณุงุณูŠุฉ ุงู„ู„ูŠ
948
+
949
+ 238
950
+ 00:22:26,960 --> 00:22:28,060
951
+ ู…ู…ูƒู† ุชุณุชุฎุฏู…ูˆู‡ุง
952
+
953
+ 239
954
+ 00:22:33,260 --> 00:22:37,680
955
+ ุทูŠุจ ูู‰ ุนู†ุฏู†ุง ุงู„ type of coordinates ู…ู† ู†ุธุงู…
956
+
957
+ 240
958
+ 00:22:37,680 --> 00:22:42,760
959
+ ุงู„ุงุญุฏุงุซูŠุฉ ูู‰ ุนู†ุฏู†ุง linear coordinates ูˆ ูู‰ ุนู†ุฏู‰
960
+
961
+ 241
962
+ 00:22:42,760 --> 00:22:48,020
963
+ semi log coordinates ูˆ ุนู†ุฏู‰ log log coordinates
964
+
965
+ 242
966
+ 00:22:48,020 --> 00:22:56,680
967
+ linear coordinates ูŠุนู†ูŠ ู„ูˆ ุนู…ู„ุช ู†ู‚ุทุฉ ุชู„ุงุชุฉ ูˆ ู†ุงู‚ุต
968
+
969
+ 243
970
+ 00:22:56,680 --> 00:23:02,630
971
+ ุงุฑุจุนุฉุงูˆ ู†ุงู‚ุต ุงุฑุจุนุฉ ูˆ ุชู„ุงุชุฉ ู‡ุงูŠ ุจู…ุดูŠ ููŠ ุงู„ X ู‡ุงูŠ ุงู„
972
+
973
+ 244
974
+ 00:23:02,630 --> 00:23:05,670
975
+ X axis ูˆ ุงู„ Y axis ู‡ุงูŠ ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต
976
+
977
+ 245
978
+ 00:23:05,670 --> 00:23:07,810
979
+ ุชู„ุงุชุฉ ู†ุงู‚ุต ุงุฑุจุน ุจู…ุดูŠ ูˆุงุญุฏุฉ ูŠุนู†ูŠ ุงู„ูˆุงุญุฏุฉ ุชู‚ุจู„
980
+
981
+ 246
982
+ 00:23:07,810 --> 00:23:11,670
983
+ ุงู„ูˆุงุญุฏุฉ ุงู† ูˆ ุงู„ุชู„ุงุชุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู‡ุฐุง linear
984
+
985
+ 247
986
+ 00:23:11,670 --> 00:23:16,770
987
+ ุจู…ุดูŠู‡ุด linear ูŠุนู†ูŠ ุฏูŠ ู…ุซู„ุง ุงุชู†ูŠู† ูˆ ู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุงูŠ
988
+
989
+ 248
990
+ 00:23:16,770 --> 00:23:21,750
991
+ ูˆุงุญุฏ ุงุชู†ูŠู† ู†ุงู‚ุต ูˆุงุญุฏ ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต ุชู„ุงุชุฉ ุงุชู†ูŠู† ูˆ
992
+
993
+ 249
994
+ 00:23:21,750 --> 00:23:28,670
995
+ ู†ุงู‚ุต ุชู„ุงุชุฉ ู‡ุฐุง linear coordinate ููŠ semi log
996
+
997
+ 250
998
+ 00:23:31,640 --> 00:23:36,720
999
+ coordinate ู…ุซู„ุง ู„ูˆ ุนุดุงู† ู†ุฑุฌุน ู„ู„ curve ู‡ุฐุง ูู‡ู†ุง ุงู„
1000
+
1001
+ 251
1002
+ 00:23:36,720 --> 00:23:39,720
1003
+ straight ุจุชุฏุฑุฌ ุนู„ู‰ ุงู„ similar global ุจุณ ู†ุญูƒูŠ ู„ูˆ
1004
+
1005
+ 252
1006
+ 00:23:39,720 --> 00:23:43,800
1007
+ ุนู„ู‰ ุงู„ slide ู‡ุฐุง ูู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ ุงู„ linear
1008
+
1009
+ 253
1010
+ 00:23:43,800 --> 00:23:48,700
1011
+ straight line transformation ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒูˆู† ู…ุนุงุฏุฉ
1012
+
1013
+ 254
1014
+ 00:23:48,700 --> 00:23:53,900
1015
+ ุบูŠุฑ ุฎุทูŠุฉ ุฃุญูˆู„ ุงู„ู…ุนุงุฏุฉ ุงู„ุฎุทูŠุฉ ู…ุนุงุฏุฉ ุงู„ุฎุท ุงู„ู…ุณุชู‚ูŠู…
1016
+
1017
+ 255
1018
+ 00:23:53,900 --> 00:23:54,520
1019
+ ุงู„ู„ูŠ ู‡ูŠ Y
1020
+
1021
+ 256
1022
+ 00:23:59,500 --> 00:24:10,280
1023
+ ุจุงู„ุณุงูˆูŠุฉ ุจูŠ ููŠ x capital ุฒุงุฆุฏ a ุงู„ a ู‡ูŠ ุงู„
1024
+
1025
+ 257
1026
+ 00:24:10,280 --> 00:24:19,460
1027
+ intercept ูˆ ุงู„ b ุงู„ slope ูŠุนู†ูŠ ูŠุนู†ูŠ
1028
+
1029
+ 258
1030
+ 00:24:19,460 --> 00:24:23,780
1031
+ ู‡ูŠ ู‡ุฐุง
1032
+
1033
+ 259
1034
+ 00:24:23,780 --> 00:24:29,210
1035
+ aู‡ุฐุง X ูƒุงุจูŠุชุงู„ ูˆ Y ูƒุงุจูŠุชุงู„ ูˆู‡ุฐุง ุงู„ ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ
1036
+
1037
+ 260
1038
+ 00:24:29,210 --> 00:24:38,010
1039
+ ูŠุงุด ุจูŠ ูƒุงุจูŠุชู„ ุนู†ุฏูŠ ู…ุนุงุฏู„ุฉ ุฒูŠ ุฏู‡ Y ุจุงู„ุณุงูˆูŠุฉ
1040
+
1041
+ 261
1042
+ 00:24:38,010 --> 00:24:48,630
1043
+ A ุฒุงุฆุฏ B ุนู„ู‰ X ู‡ู„ ุนู„ุงู‚ุฉ ุจูŠู† X ูˆ B X ูˆ Y ุฎุทูŠุฉ ู„ุฃ
1044
+
1045
+ 262
1046
+ 00:24:48,630 --> 00:24:55,240
1047
+ ุชุญุช ููŠ ุงู„ู…ู‚ุงู… ู…ุด ุฎุทูŠุฉ ู„ูƒู† ู…ู…ูƒู† ุฃุญูˆู„ู‡ุง ุฃุญูƒูŠ ุฃู†ู‡ุฎู„ู‘ูŠ
1048
+
1049
+ 263
1050
+ 00:24:55,240 --> 00:25:06,400
1051
+ Y Y capital ูŠุนู†ูŠ transform Y Y transform into Y
1052
+
1053
+ 264
1054
+ 00:25:06,400 --> 00:25:13,860
1055
+ capital ูˆุงุญุฏ ุนู„ู‰ X transform it into X capital
1056
+
1057
+ 265
1058
+ 00:25:13,860 --> 00:25:20,760
1059
+ ูŠุนู†ูŠ ุฃู†ุช ุจูŠูƒูˆู† ุนู†ุฏูƒ ุฌุฏูˆู„ X X
1060
+
1061
+ 266
1062
+ 00:25:20,760 --> 00:25:32,210
1063
+ ู‡ูˆุจุญุณุจ ูˆุงุญุฏ ุนู„ู‰ X ุงูˆ Y I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
1064
+
1065
+ 267
1066
+ 00:25:32,210 --> 00:25:39,670
1067
+ ูุจุชุทูŠุญ ุนู„ุงู‚ุฉ ุฎุทูŠุฉ ูŠุนู†ูŠ I plot Y ู…ุน ูˆุงุญุฏุฉ ุนู„ู‰ X
1068
+
1069
+ 268
1070
+ 00:25:39,670 --> 00:25:43,450
1071
+ ูŠุนู†ูŠ ู‡ุงูŠ Y I transform Y small into Y capital ูˆ
1072
+
1073
+ 269
1074
+ 00:25:43,450 --> 00:25:51,290
1075
+ ูˆุงุญุฏุฉ ุนู„ู‰ X into X capital ูŠุนู†ูŠ ุจูŠุตูŠุฑ ู‡ุฐู‡ Y Y
1076
+
1077
+ 270
1078
+ 00:25:52,880 --> 00:26:02,340
1079
+ ุงู„ุงู†ุชุฑุณุจุช ุนู†ุฏูƒ a ุจุณูˆุก a ุฒุงุฆุฏ b ููŠ ูˆุงุญุฏ ุนู„ู‰ x ุงู†ุง
1080
+
1081
+ 271
1082
+ 00:26:02,340 --> 00:26:07,600
1083
+ will plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x ู…ุนู†ุงุชู‡ ุงู„ุงู†ุชุฑุณุจุช ู„ู„ุนู„ุงู‚ุฉ
1084
+
1085
+ 272
1086
+ 00:26:07,600 --> 00:26:16,060
1087
+ ู‡ุฐู‡ ู‡ุชูƒูˆู† a ูˆุงู„ุณู„ูˆุจ b if I plot y ู…ุน ูˆุงุญุฏ ุนู„ู‰ x
1088
+
1089
+ 273
1090
+ 00:26:16,060 --> 00:26:19,220
1091
+ ุญุงู„ุฉ
1092
+
1093
+ 274
1094
+ 00:26:19,220 --> 00:26:20,140
1095
+ ุชุงู†ูŠุฉ ุนู†ุฏูŠ y
1096
+
1097
+ 275
1098
+ 00:26:26,870 --> 00:26:37,510
1099
+ Y ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ A ุฒุงุฆุฏ B X ู„ูˆ ุนูƒุณุช ุงู„ู…ุนุงุฏู„ุฉ ุญุณูŠู†
1100
+
1101
+ 276
1102
+ 00:26:37,510 --> 00:26:41,850
1103
+ ุงู† ุฏูŠ ูˆุงุญุฏ ุนู„ู‰ Y ุจูŠุณุงูˆูŠ
1104
+
1105
+ 277
1106
+ 00:26:41,850 --> 00:26:52,030
1107
+ A ุฒุงุฆุฏ B X ูŠุนู†ูŠ I transform ูˆุงุญุฏ ุนู„ู‰ Y into Y
1108
+
1109
+ 278
1110
+ 00:26:52,030 --> 00:26:52,490
1111
+ capital
1112
+
1113
+ 279
1114
+ 00:26:56,030 --> 00:27:02,750
1115
+ ูˆ X small into X capital ู…ุงุชุบูŠุฑุชุด ุงู„ X small ู‡ุงู„
1116
+
1117
+ 280
1118
+ 00:27:02,750 --> 00:27:09,330
1119
+ transformation ุงู„ู„ูŠ ุตุงุฑ I plot ุงู„ู„ูŠ
1120
+
1121
+ 281
1122
+ 00:27:09,330 --> 00:27:15,030
1123
+ ู‡ูŠ ูˆุงุญุฏ ุนู„ู‰ Y versus X
1124
+
1125
+ 282
1126
+ 00:27:17,820 --> 00:27:22,600
1127
+ plot ูˆุงุญุฏุฉ ุนู„ู‰ Y ุจุจุญุซ ุนู† ู…ุนุงุฏู„ุฉ ุฎุทูŠุฉ ูˆ ุจุฌูŠุจ ุงู„
1128
+
1129
+ 283
1130
+ 00:27:22,600 --> 00:27:27,280
1131
+ intercept ูˆ ุงู„ slope ุจุชุณู‡ู„ ุงู„ุดุบู„ ูƒุชูŠุฑ ูƒุชูŠุฑ ุจุชุณู‡ู„
1132
+
1133
+ 284
1134
+ 00:27:27,280 --> 00:27:32,560
1135
+ ุงู„ุดุบู„ ุจุญุงูˆู„ ูƒู„ ุดูŠ non linear ู„ linear ุทูŠุจ ู…ุนุงุฏู„ุฉ
1136
+
1137
+ 285
1138
+ 00:27:32,560 --> 00:27:39,560
1139
+ ุชุงู†ูŠุฉ ุนู†ุฏูŠ ู…ุซู„ุง ุนู†ุฏูŠ ู‡ู†ุง Y Y
1140
+
1141
+ 286
1142
+ 00:27:39,560 --> 00:27:42,640
1143
+ ุจุงู„ุณุงูˆูŠุฉ
1144
+
1145
+ 287
1146
+ 00:27:42,640 --> 00:27:45,580
1147
+ X ุนู„ู‰
1148
+
1149
+ 288
1150
+ 00:27:48,210 --> 00:27:56,850
1151
+ ุง ุฒุงุฆุฏ ุจูŠ ุงูƒุณ ู‡ุงูŠ ุงู„ู…ุนุงุฏู„ุฉ ูŠุนู†ูŠ
1152
+
1153
+ 289
1154
+ 00:27:56,850 --> 00:28:03,830
1155
+ ุงู„ู„ูŠ ุญูƒูŠุช y ุนู„ู‰ x ู‡ุชูƒูˆู†ุด ุณุงูˆูŠุฉ ูˆุงุญุฏ ุนู„ู‰ ุง ุฒุงุฆุฏ ุจูŠ
1156
+
1157
+ 290
1158
+ 00:28:03,830 --> 00:28:14,280
1159
+ ุงูƒุณ ุทูŠุจ ูŠุนูƒุณู‡ุง x ุนู„ู‰ yุจุณูˆุก a ุฒุงุฆุฏ bx ู…ุนู†ุงุชู‡ I
1160
+
1161
+ 291
1162
+ 00:28:14,280 --> 00:28:23,980
1163
+ transform X ุนู„ู‰ Y into Y capital ูˆ
1164
+
1165
+ 292
1166
+ 00:28:23,980 --> 00:28:33,620
1167
+ X small into X capital I plot X ุนู„ู‰ Y ู…ุน X ู‡ุฐุง ุงู„
1168
+
1169
+ 293
1170
+ 00:28:33,620 --> 00:28:39,020
1171
+ slope ูˆู‡ุฐุง ุงู„ intercept ุทูŠุจ
1172
+
1173
+ 294
1174
+ 00:28:40,390 --> 00:28:48,830
1175
+ ู†ุดูˆู ู‡ุฐู‡ ุงู„ู…ุนุฏุฉ Y Y
1176
+
1177
+ 295
1178
+ 00:28:48,830 --> 00:28:52,610
1179
+ Y
1180
+
1181
+ 296
1182
+ 00:28:52,610 --> 00:29:03,590
1183
+ ุจุงู„ุณุงูˆูŠุฉ A B ุฃูุณ X ู„ูˆ ุฃุฎุฏุช ู„ูู‚ ุงู„ุทุฑููŠู† ู„ูู‚ ุงู„ Y
1184
+
1185
+ 297
1186
+ 00:29:06,020 --> 00:29:13,600
1187
+ ุจุณูˆู‰ log ุงู„ A plus log ุงู„ B to the X ูŠุนู†ูŠ ู‡ูŠูƒูˆู†
1188
+
1189
+ 298
1190
+ 00:29:13,600 --> 00:29:26,280
1191
+ ุณูˆู‰ log ุงู„ Y ุจุณูˆู‰ log ุงู„ A ๏ฟฝ๏ฟฝุงุฆุฏ X log ุงู„ B ูŠุนู†ูŠ
1192
+
1193
+ 299
1194
+ 00:29:26,280 --> 00:29:34,940
1195
+ I transform log ุงู„ Y into Y capital
1196
+
1197
+ 300
1198
+ 00:29:37,680 --> 00:29:47,180
1199
+ ูˆ ุงู„ X ู„ุฃ X into X capital ู‡ุฐุง ุจูŠุณู…ูŠู‡ semi log ู„ุฃู†
1200
+
1201
+ 301
1202
+ 00:29:47,180 --> 00:29:50,680
1203
+ one variable is logged another ุถุงู„ู‡ ุฒูŠ ู…ุง ู‡ูˆ
1204
+
1205
+ 302
1206
+ 00:29:50,680 --> 00:29:57,200
1207
+ linear ุถุงู„ู‡ ูŠุนู†ูŠ ุฃุจู„ุท log ู…ุน linear ุทุจุนุง ู‡ุฐู‡ ุญุณูŠุจูŠ
1208
+
1209
+ 303
1210
+ 00:29:57,200 --> 00:29:59,700
1211
+ ุงู„ู„ูŠ ุจู†ุนู…ู„ู‡ุง ุจุงู„ุดูƒู„ ู‡ุฐูŠ ู‡ูƒ ููŠ ุณูŠุฑูŠู†ุฏูŠ ู‡ุฐูŠ Y
1212
+
1213
+ 304
1214
+ 00:29:59,700 --> 00:30:11,500
1215
+ capital ู…ุน log ุงู„ A ุงู„ู„ูŠ ู‡ูŠ A capitalู…ุน X ุจูŠ
1216
+
1217
+ 305
1218
+ 00:30:11,500 --> 00:30:17,140
1219
+ ูƒุงุจูŠุชู„ ู…ุนู†ุงุชู‡ ุงู„ุงุณู„ูˆุจ ุนู†ุฏูŠ ุงู„ุงุณู„ูˆุจ ุงู„ู„ูŠ ู‡ูˆ log ุงู„
1220
+
1221
+ 306
1222
+ 00:30:17,140 --> 00:30:24,580
1223
+ Y ูˆ ุงู„ intercept ู‡ูˆ log ุงู„ A ูŠุนู†ูŠ I plot log ุงู„ Y
1224
+
1225
+ 307
1226
+ 00:30:24,580 --> 00:30:31,060
1227
+ ู…ุน ุงู„ X log ุงู„ Y ู…ุน ุงู„ X ูˆ ุงู„ intercept ู‡ูˆ log ุงู„
1228
+
1229
+ 308
1230
+ 00:30:31,060 --> 00:30:42,800
1231
+ A ูˆ ุงู„ุงุณู„ูˆุจ ู‡ูˆ log ุงู„ Bุงู„ุงู† ุดูˆู ู…ุด
1232
+
1233
+ 309
1234
+ 00:30:42,800 --> 00:30:49,480
1235
+ ู…ุฎุชู„ูุฉ ูƒุชูŠุฑ ู‡ุฐู‡ ุฏู‡ ุงุฎุฏ ู‡ุฐู‡ y ุจุงู„ุณุงูˆูŠุฉ
1236
+
1237
+ 310
1238
+ 00:30:49,480 --> 00:30:57,340
1239
+ y ุจุงู„ุณุงูˆูŠุฉ ax
1240
+
1241
+ 311
1242
+ 00:30:57,340 --> 00:31:02,800
1243
+ to the b ุฎุฏ log ุงู„ุทุฑููŠู† ูŠุตูŠุฑ log ุงู„ y
1244
+
1245
+ 312
1246
+ 00:31:05,700 --> 00:31:14,260
1247
+ ุจุณุงูˆูŠ log ุงู„ a ุฒูŠ ุจูŠ log ุงู„ X ู…ุนู†ุงุชู‡ ู‡ู‰
1248
+
1249
+ 313
1250
+ 00:31:14,260 --> 00:31:18,800
1251
+ transformed into Y capital ู‡ู‰ transformed into A
1252
+
1253
+ 314
1254
+ 00:31:18,800 --> 00:31:23,420
1255
+ capital ู‡ู‰ transferred into B capital ู‡ู‰
1256
+
1257
+ 315
1258
+ 00:31:23,420 --> 00:31:27,860
1259
+ transferred into X capital ู…ุนู†ุงุชู‡ log log scale
1260
+
1261
+ 316
1262
+ 00:31:37,970 --> 00:31:43,990
1263
+ ุนู†ุฏูŠ ุขุฎุฑ ูˆุงุญุฏุฉ ู‡ูŠ y ุจูŠุณุงูˆูŠ a ุจุฒุงุนุช b x to the n y
1264
+
1265
+ 317
1266
+ 00:31:43,990 --> 00:31:49,750
1267
+ y
1268
+
1269
+ 318
1270
+ 00:31:49,750 --> 00:31:53,490
1271
+ ุจูŠุณุงูˆูŠ
1272
+
1273
+ 319
1274
+ 00:31:53,490 --> 00:32:02,190
1275
+ a ุจุฒุงุนุช b x to the n ู‡ุฐูŠ
1276
+
1277
+ 320
1278
+ 00:32:02,190 --> 00:32:07,700
1279
+ I will transform it intoY capital ู‡ุฏูŠ into A
1280
+
1281
+ 321
1282
+ 00:32:07,700 --> 00:32:13,160
1283
+ capital ู‡ุฏูŠ into B capital ู‡ุฏูŠ into X to the N
1284
+
1285
+ 322
1286
+ 00:32:13,160 --> 00:32:18,980
1287
+ into X capital ูŠุนู†ูŠ I plot Y versus X to the N
1288
+
1289
+ 323
1290
+ 00:32:18,980 --> 00:32:25,120
1291
+ ูุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู„ intercept ุงู„ู„ูŠ ู‡ูˆ A ูˆ ุงู„ slope ุงู„ู„ูŠ
1292
+
1293
+ 324
1294
+ 00:32:25,120 --> 00:32:32,560
1295
+ ู‡ูˆ B ู†ุฑุฌุน ุนู„ู‰ ุงู„ log ู†ุนู… ู…ุงู†ูุนุด
1296
+
1297
+ 325
1298
+ 00:32:32,560 --> 00:32:33,180
1299
+ ู„ูŠุดุŸ
1300
+
1301
+ 326
1302
+ 00:32:36,300 --> 00:32:42,780
1303
+ ู„ูˆ ุฏู‡ ุชุงุฎุฏ ุงู„ log ุทู„ุน ุฎุฏ ุงู„ log log ุงู„ Y ุจูŠุตูˆูŠ log
1304
+
1305
+ 327
1306
+ 00:32:42,780 --> 00:32:50,300
1307
+ ุงู„ A ุฒูŠ B X to the N ุงู„ log ุงู„ู„ูŠ ุฌูˆุง ุจูŠุตูˆูŠุด ู…ุฌู…ูˆุนุฉ
1308
+
1309
+ 328
1310
+ 00:32:50,300 --> 00:32:55,820
1311
+ log ุงู„ multiplication ุจุชุญูˆู„ู‡
1312
+
1313
+ 329
1314
+ 00:32:55,820 --> 00:33:01,980
1315
+ ู„ู…ุฌู…ูˆุนุฉ ู…ู†ูุนุด ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุทูŠุจ ุงู„ู„ูŠ ู‡ุงู„ log scale
1316
+
1317
+ 330
1318
+ 00:33:01,980 --> 00:33:04,300
1319
+ ู‡ุงุฎุฏ
1320
+
1321
+ 331
1322
+ 00:33:05,170 --> 00:33:09,410
1323
+ ุจูŠู† ุงู„ุนุดุฑุฉ ูˆุงู„ู…ูŠุฉ ู‡ุงูŠ ุงู„ุนุดุฑุฉ ุจุฏูŠ ุฃุฎุฏ ุจูŠู† ุงู„ุนุดุฑุฉ
1324
+
1325
+ 332
1326
+ 00:33:09,410 --> 00:33:13,730
1327
+ ูˆุงู„ู…ูŠุฉ ุนุดุฑุฉ ุนุดุฑูŠู† ุฃุฎุฏ ูˆ ุฃุฌูŠุจ ู„ู‡ ุงู„ log ุจุฏูŠ ุฃุฎุฏ ุจูŠู†
1328
+
1329
+ 333
1330
+ 00:33:13,730 --> 00:33:19,390
1331
+ ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆ ุจูŠู† ุจูŠู† ุงู„ูˆุงุญุฏ ูˆุงู„ุนุดุฑุฉ ูˆ ุจูŠู†
1332
+
1333
+ 334
1334
+ 00:33:19,390 --> 00:33:21,610
1335
+ ุงู„ุนุดุฑุฉ ูˆุงู„ู…ูŠุฉ ุชุนุฑููŠ ุงู„ู…ุซุงู„ ุนู„ู‰ ุงู„ Excel ูˆุชุดูˆู ุฃูŠุด
1336
+
1337
+ 335
1338
+ 00:33:21,610 --> 00:33:25,170
1339
+ ุงู„ู„ูŠ ุจูŠุตูŠุฑ ู…ุนุงู‡ ุนุดุงู† ุชูู‡ู…ูŠ ุฃูŠุด ุงู„ู„ูŠ ุจูŠุตูŠุฑ ููŠ ุงู„
1340
+
1341
+ 336
1342
+ 00:33:25,170 --> 00:33:30,450
1343
+ log scale ู‡ุงูŠ
1344
+
1345
+ 337
1346
+ 00:33:30,450 --> 00:33:41,870
1347
+ ุจุชุณู…ูŠ ุงู†ุง ู‡ู†ุง I Xูˆ ู‡ุงูŠ log x ุนู†ุฏ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู†
1348
+
1349
+ 338
1350
+ 00:33:41,870 --> 00:33:51,130
1351
+ ุจุฏู‡ ุงุญุท ู„ุญุฏ ุนุดุฑุฉ ุจุนุฏ
1352
+
1353
+ 339
1354
+ 00:33:51,130 --> 00:33:54,430
1355
+ ู‡ู†ุง ุนู†ุฏูŠ ุนุดุฑุฉ ุนุดุฑูŠู† ุจุฏู‡ ุงุนู…ู„ ู„ุญุฏ ุงู„ู…ูŠุฉ
1356
+
1357
+ 340
1358
+ 00:34:04,730 --> 00:34:07,710
1359
+ ุทุจ ุงุฐุง ูƒุงู… ุจูŠู† ุงู„ 100 ูˆ ุงู„ 1000 ู‡ุญูƒูŠ 100 200 300
1360
+
1361
+ 341
1362
+ 00:34:07,710 --> 00:34:15,910
1363
+ ู„ุญุฏ ุงู„ 1000 ู„ู…ุง ุจุชุฏุฎู„ ุงู„ log ู‡ู†ุง ุจุชุณุงูˆูŠ log log
1364
+
1365
+ 342
1366
+ 00:34:15,910 --> 00:34:23,510
1367
+ ู„ู„ุฃุณุงุณ ุนุดุฑุฉ log 10 ู„ู„ูˆุงุญุฏ
1368
+
1369
+ 343
1370
+ 00:34:23,510 --> 00:34:27,810
1371
+ log
1372
+
1373
+ 344
1374
+ 00:34:27,810 --> 00:34:29,050
1375
+ ุงู„ูˆุงุญุฏ ุจุชุณุงูˆูŠ ุณูุฑ
1376
+
1377
+ 345
1378
+ 00:34:33,820 --> 00:34:40,080
1379
+ ุนุดุงู† ุฎู„ูŠู†ูŠ ุงู†ุง ุงุนู…ู„ู‡ ุทูŠุจ
1380
+
1381
+ 346
1382
+ 00:35:01,510 --> 00:35:08,090
1383
+ ุงุทู„ุน ู„ุฌ ุงู„ูˆุงุญุฏ ุงูƒู… ู„ุฃู† ุนุดุฑ ุงูˆ ุณูุฑ ุตุญุŸ ูˆุงุญุฏ ู„ุฌ
1384
+
1385
+ 347
1386
+ 00:35:08,090 --> 00:35:17,610
1387
+ ุงู„ุนุดุฑุฉ ูˆุงุญุฏ ู„ุฌ ุงู„ู…ูŠุฉ ุงุชู†ูŠู† ู„ุฌ ุงู„ุฃู„ู ุชู„ุงุชุฉ ุนุดุฑ ุชู„ุงู
1388
+
1389
+ 348
1390
+ 00:35:17,610 --> 00:35:25,490
1391
+ ุงุฑุจุน ู…ูŠุฉ ุงู„ู ุฎู…ุณุฉ ู…ู„ูŠูˆู† ุณุชุฉ ูˆูƒุฐุง ุทูŠุจ ุงุทู„ุน ุจูŠู†
1392
+
1393
+ 349
1394
+ 00:35:25,490 --> 00:35:27,430
1395
+ ุงู„ุณูุฑ ุงู„ุณูุฑ
1396
+
1397
+ 350
1398
+ 00:35:29,400 --> 00:35:34,760
1399
+ ูˆ ุจูŠู† ุงู„ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุจูŠู†
1400
+
1401
+ 351
1402
+ 00:35:34,760 --> 00:35:41,840
1403
+ ุงู„ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ุชู‚ุฑูŠุจุง ุงู†ุง ู…ุงุฎุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ุจูŠู†
1404
+
1405
+ 352
1406
+ 00:35:41,840 --> 00:35:48,940
1407
+ ุงู„ูˆุงุญุฏ ูˆ ุงู„ุนุดุฑุฉ ูŠุนู†ูŠ ุฎู„ูŠู†ูŠ ุงุญูƒูŠ ุฎู„ูŠู†ูŠ ุงุฎุฏ ุงู„ูุฑู‚
1408
+
1409
+ 353
1410
+ 00:35:48,940 --> 00:35:55,600
1411
+ ูŠุนู†ูŠ ู‡ุฏู‡ ู‡ุฏู‡ ุจุชุณุงูˆูŠ ู‡ุฏู‡ ู†ุงู‚ุต ู‡ุฏู‡ ุจุณ ุนุดุงู† ุงูˆุถุญ
1412
+
1413
+ 354
1414
+ 00:35:58,430 --> 00:36:01,250
1415
+ ู‡ุฐู‡ ุงู„ difference ุฎู„ู‘ูŠู†ูŠ ุฃุณู…ูŠู‡ ุงู„ difference
1416
+
1417
+ 355
1418
+ 00:36:01,250 --> 00:36:04,870
1419
+ ุฎู„ู‘ูŠู†ูŠ
1420
+
1421
+ 356
1422
+ 00:36:04,870 --> 00:36:09,250
1423
+ ุฃุณู…ูŠู‡ุง ุณูุฑ ุงู„ุงุชู†ูŠู†
1424
+
1425
+ 357
1426
+ 00:36:09,250 --> 00:36:12,790
1427
+ ู…ุงุฎุฏุฉ point ุชู„ุงุชุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ูุฑู‚ ุจูŠู† ุงู„ tick ู„ู…ุง
1428
+
1429
+ 358
1430
+ 00:36:12,790 --> 00:36:15,010
1431
+ ุงู†ุง ุงุนู…ู„ tick ุจุงุฎุฏ point ุชู„ุงุชุฉ ุจูŠู† ุงู„ุชู„ุงุชุฉ
1432
+
1433
+ 359
1434
+ 00:36:15,010 --> 00:36:17,790
1435
+ ูˆุงู„ุงุชู†ูŠู† ู…ุงุฎุฏุฉ point ูˆุงุญุฏ ุณุจุนุฉ ุณุชุฉ ุจูŠู† ุฃุฑุจุนุฉ
1436
+
1437
+ 360
1438
+ 00:36:17,790 --> 00:36:22,390
1439
+ ูˆุงู„ุชู„ุงุชุฉ point ูˆุงุญุฏ ุงุชู†ูŠู† ุฎู…ุณุฉ ุจูŠู† ุงู„ุฎู…ุณุฉ ูˆุงู„ุงุฑุจุนุฉ
1440
+
1441
+ 361
1442
+ 00:36:22,390 --> 00:36:25,010
1443
+ point ุงูˆ ุชุณุนุฉ ุณุจุนุฉ ุจูŠู†
1444
+
1445
+ 362
1446
+ 00:36:26,930 --> 00:36:31,390
1447
+ ุงู„ุณุชุฉ ูˆุงู„ุฎู…ุณุฉ point ุงูˆ ุณุจุนุฉ ุณุจุนุฉ ูƒู…ุงู† ุจู‚ู„ ุจูŠู†
1448
+
1449
+ 363
1450
+ 00:36:31,390 --> 00:36:37,350
1451
+ ุงู„ุณุจุนุฉ ูˆุงู„ุณุชุฉ point ุงูˆ ุณุชุฉ ุณุจุนุฉ ู„ุญุธุฉ ุจูŠู† ุงู„ุนุดุฑุฉ
1452
+
1453
+ 364
1454
+ 00:36:37,350 --> 00:36:40,890
1455
+ ูˆุงู„ุชุณุนุฉ point ุงูˆ ุงุฑุจุนุฉ ุณุชุฉ ุงู„ุงู† ุงุฑุฌุน ุจูŠู† ุงู„ุนุดุฑูŠู†
1456
+
1457
+ 365
1458
+ 00:36:40,890 --> 00:36:46,370
1459
+ ูˆุงู„ุนุดุฑุฉ ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ูˆุงู„ูˆุงุญุฏ ุจูŠู† ุงู„ุชู„ุงุชูŠู†
1460
+
1461
+ 366
1462
+ 00:36:46,370 --> 00:36:49,830
1463
+ ูˆุงู„ุนุดุฑูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุชู„ุงุชุฉ ูˆุงู„ุงุชู†ูŠู†ุจูŠู†
1464
+
1465
+ 367
1466
+ 00:36:49,830 --> 00:36:52,850
1467
+ ุงู„ุงุฑุจุนูŠู† ูˆุงู„ุชู„ุงุชูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุฑุจุนุฉ ูˆุงู„ุชู„ุงุชุฉ
1468
+
1469
+ 368
1470
+ 00:36:52,850 --> 00:36:55,930
1471
+ ุจูŠู† ุงู„ุฎู…ุณูŠู† ูˆุงู„ุงุฑุจุนูŠู† ู†ูุณ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุฎู…ุณุฉ
1472
+
1473
+ 369
1474
+ 00:36:55,930 --> 00:37:00,210
1475
+ ูˆุงู„ุงุฑุจุนุฉ ู„ุงุญุธูˆู†
1476
+
1477
+ 370
1478
+ 00:37:00,210 --> 00:37:09,270
1479
+ ุงู„ูุฑูˆู‚ุŸ ุทูŠุจ ู…ุนู†ุงุชู‡ ู„ู…ุง ุงู†ุง ุงุฌูŠ ุงุนู…ู„ ู„ูˆุฌ ุณูƒูŠู„
1480
+
1481
+ 371
1482
+ 00:37:20,020 --> 00:37:26,220
1483
+ ู‡ูŠ ุน ุงู„ x axis ุจุฏูŠ ุงุฏุฑุฌู‡ ู‡ู‰ ู†ุญูƒูŠ ุนุดุฑุฉ ุงู‚ุต ุณูุฑ ุงู„ู„ู‰
1484
+
1485
+ 372
1486
+ 00:37:26,220 --> 00:37:35,920
1487
+ ู‡ู‰ ุงูŠุด ูˆุงุญุฏ ุนุดุฑุฉ ุงู‚ุต ูˆุงุญุฏ ุนุดุฑุฉ ุนุดุฑุฉ ุงู‚ุต ุงุชู†ูŠู† ู…ูŠุฉ
1488
+
1489
+ 373
1490
+ 00:37:35,920 --> 00:37:43,020
1491
+ ุงู„ุงู† log ุงู„ูˆุงุญุฏ point ู„ุง log ุงู„ูˆุงุญุฏ zero ู‡ู‰ ุงู„ู„ู‰
1492
+
1493
+ 374
1494
+ 00:37:43,020 --> 00:37:44,320
1495
+ ู‡ู†ุง ู‡ู‰ ู‡ุงุฏู‰
1496
+
1497
+ 375
1498
+ 00:37:47,220 --> 00:37:51,740
1499
+ ู„ุบ ุงู„ุงุชู†ูŠู† ู…ุงุฎุฏุฉ ุชู‚ุฑูŠุจุง ุชู„ุชุฉ ุชู„ุชุฉ ู…ู† ุนุดุฑุฉ ูŠุนู†ูŠ ู‡ุงูŠ
1500
+
1501
+ 376
1502
+ 00:37:51,740 --> 00:38:01,080
1503
+ ุฌุงูŠุฉ ู‡ู†ุง ู‡ุฐู‡ ู„ุบ ุงู„ุงุชู†ูŠู† ู‡ุฐู‡ ูˆุงุญุฏ ู‡ุฐู‡ ุงุชู†ูŠู† ูˆู‡ุฐู‡
1504
+
1505
+ 377
1506
+ 00:38:01,080 --> 00:38:07,380
1507
+ ู†ูุณ ุงู„ุดูŠุก ุนุดุฑูŠู† ุงู„ุชู„ุงุชุฉ
1508
+
1509
+ 378
1510
+ 00:38:07,380 --> 00:38:13,680
1511
+ ุชู‚ุฑูŠุจุง ุฌุงูŠุฉ ู†ุต ู‡ุฐู‡ ู†ุตู‡ุง ุฌุงูŠุฉ ู‡ู†ุง ู‡ุฐู‡ ุงู„ุชู„ุงุชุฉ
1512
+
1513
+ 379
1514
+ 00:38:16,480 --> 00:38:24,160
1515
+ ุงู„ุงุฑุจุนุฉ ูŠุนู†ูŠ ุฌุงูŠุฉ ุฒูŠ ู‡ูŠูƒ ุงู„ุฎู…ุณุฉ
1516
+
1517
+ 380
1518
+ 00:38:24,160 --> 00:38:27,740
1519
+ ุงู„ุณุชุฉ
1520
+
1521
+ 381
1522
+ 00:38:27,740 --> 00:38:34,120
1523
+ ุงู„ุณุจุนุฉ ุชู…ุงู†ุช ููƒู„ ู…ุง ูŠู‚ุฑุจ ุงู„ุนุดุฑ ุงู„ูุฑู‚ ุฅูŠุด ุจู‚ู„ ูุจูŠุฌูŠ
1524
+
1525
+ 382
1526
+ 00:38:34,120 --> 00:38:40,380
1527
+ ุงู„ scale ู…ู‚ุณู… ุฒูŠ ู‡ูŠูƒ ููŠ ุงู„ log scale
1528
+
1529
+ 383
1530
+ 00:38:43,110 --> 00:38:47,290
1531
+ ูˆุงุถุญ ูƒูŠู ุงุฌุจู‡ ุงู†ุง ุงุฌุฏ ุชู‚ุณูŠู…ุชู‡ ู…ู† ู‡ุฐู‡ ุทุจุนุง ู‡ุฐุง
1532
+
1533
+ 384
1534
+ 00:38:47,290 --> 00:38:54,690
1535
+ ุจุชูƒุฑุฑ ุทูŠุจ ู…ู† 0 ู„1 ู„10 ู†ูุณู‡ ูุจูŠุฌูŠ ุงู„ curve ุจูŠุฌูŠ
1536
+
1537
+ 385
1538
+ 00:38:54,690 --> 00:38:59,550
1539
+ ุจุงู„ุดูƒู„ ู‡ุฐุง ุงู„ log ุงู„ู„ูŠ ู‡ูˆ ุงู„ log scale ู‡ูŠ ุงู„ log
1540
+
1541
+ 386
1542
+ 00:38:59,550 --> 00:39:05,790
1543
+ scale ูู„ู…ุง
1544
+
1545
+ 387
1546
+ 00:39:05,790 --> 00:39:06,970
1547
+ ุงู†ุง ุงุนู„ู† ู†ู‚ุทุฉ ู‡ู†ุง
1548
+
1549
+ 388
1550
+ 00:39:15,380 --> 00:39:21,080
1551
+ ูŠุนู†ูŠ ุนู†ุฏูƒ ู‡ู†ุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ
1552
+
1553
+ 389
1554
+ 00:39:21,080 --> 00:39:27,260
1555
+ ุชุจุนูŠุฉ ุชุณุนุฉ ุนุดุฑุฉ ูุงู†ุง ู„ุงุญุธู‡ ู…ุซู„ุง ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ
1556
+
1557
+ 390
1558
+ 00:39:27,260 --> 00:39:32,940
1559
+ ู‡ุฐู‡ log ุงู„ุชู„ุงุชุฉ ูุจุนู„ู…ู‡ ูˆ ู‡ุฐุง ุทุจุนุง log log scale
1560
+
1561
+ 391
1562
+ 00:39:32,940 --> 00:39:37,240
1563
+ ูŠุนู†ูŠ ุงู„ x axis ู…ุฏุฑุฌ log ูŠุนู†ูŠ ุงู„ differences ู…ุด
1564
+
1565
+ 392
1566
+ 00:39:37,240 --> 00:39:43,560
1567
+ ุซุงุจุชุฉููŠ ุชูƒุฑุงุฑ ู…ู† ูˆุงุญุฏ ู„ุนุดุฑุฉ ู†ูุณ ุงู„ pattern ุจูŠู†
1568
+
1569
+ 393
1570
+ 00:39:43,560 --> 00:39:46,580
1571
+ ุนุดุฑุฉ ูˆ ู…ูŠุฉ ุจูŠู† ู…ูŠุฉ ูˆ ุฃู„ู ุจูŠู† ุฃู„ู ูˆ ุนุดุฑุฉ ุชู„ุงุช ุจูŠู†
1572
+
1573
+ 394
1574
+ 00:39:46,580 --> 00:39:50,260
1575
+ ุนุดุฑุฉ ุชู„ุงุช ูˆ ู…ูŠุช ุฃู„ู ุจูŠู† ู…ูŠุช ุฃู„ู ูˆ ู…ู„ูŠูˆู† ุจูŠู† ู…ู„ูŠูˆู†
1576
+
1577
+ 395
1578
+ 00:39:50,260 --> 00:39:52,440
1579
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ู…ูŠุช ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู†
1580
+
1581
+ 396
1582
+ 00:39:52,440 --> 00:39:57,620
1583
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ
1584
+
1585
+ 397
1586
+ 00:39:57,620 --> 00:40:02,280
1587
+ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ
1588
+
1589
+ 398
1590
+ 00:40:02,280 --> 00:40:02,600
1591
+ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู†
1592
+
1593
+ 399
1594
+ 00:40:02,600 --> 00:40:02,640
1595
+ ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ
1596
+
1597
+ 400
1598
+ 00:40:02,640 --> 00:40:05,540
1599
+ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆ
1600
+
1601
+ 401
1602
+ 00:40:05,540 --> 00:40:12,070
1603
+ ุนุดุฑุฉ ู…ู„ูŠูˆู† ูˆู…ุจุงุดุฑุฉ ุจุญุท ุงู„ู‚ูŠู…ุฉ ู…ุซู„ุง ู‡ูŠ ูˆุงุญุฏ ู‡ูŠ ูˆุงุญุฏ
1604
+
1605
+ 402
1606
+ 00:40:12,070 --> 00:40:17,390
1607
+ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆูŠู† ู‡ุชูŠุฌูŠ ู‡ูŠ ู‡ู†ุง ู‡ู†ุง ู‡ู†ุง
1608
+
1609
+ 403
1610
+ 00:40:17,390 --> 00:40:23,630
1611
+ ูˆุงุญุฏ ู…ุน ู…ูŠุฉ ูˆุงุถุญุงุช ู…ุซู„ุง ุนุดุฑุฉ ุนุดุฑุฉ ู…ุน ุนุดุฑุฉ ู‡ูŠู‡ุง
1612
+
1613
+ 404
1614
+ 00:40:23,630 --> 00:40:33,790
1615
+ ุนู†ุฏูŠ ู…ุชูŠู† ู…ุน ุนุดุฑูŠู† ู‡ูŠ ู…ุชูŠู† ู‡ูŠ ู…ุชูŠู† ู…ุน ุนุดุฑูŠู† ู‡ูŠู‡ุง
1616
+
1617
+ 405
1618
+ 00:40:33,790 --> 00:40:44,130
1619
+ ูˆุงุถุญุฉุทูŠุจ ุชุณุนูŠู† ุชุณุนูŠู† ู…ุน ุชุณุนู…ูŠุฉ ู‡ุงูŠ ุชุณุนูŠู† ู‡ุงูŠ
1620
+
1621
+ 406
1622
+ 00:40:44,130 --> 00:40:53,830
1623
+ ุชุณุนู…ูŠุฉ ู‡ุงูŠ ู…ู† ู‡ู†ุง ู‡ุงูŠ ุนู† ู‡ู†ุง ูˆุงุถุญุงุช ุทุจุนุง
1624
+
1625
+ 407
1626
+ 00:40:53,830 --> 00:40:57,990
1627
+ ููŠ ุงู„ุญุงู„ุฉ ุงู†ุง ุดุงูŠู ู‡ุฐุง semi log scale ูŠุนู†ูŠ ุนู„ู‰ ู‡ุฐุง
1628
+
1629
+ 408
1630
+ 00:40:57,990 --> 00:41:04,680
1631
+ ุงู„ x axis log ูˆุนู„ู‰ ุงู„ y axis linearู…ู…ูƒู† ูŠูƒูˆู† ุนูƒุณุŒ
1632
+
1633
+ 409
1634
+ 00:41:04,680 --> 00:41:07,960
1635
+ ู‡ูŠ log ูˆ ู‡ูŠ linearุŒ ุจูŠุจู‚ู‰ ู„ู‡ semi log ุฅุฐุง ูƒุงู† ุงู„
1636
+
1637
+ 410
1638
+ 00:41:07,960 --> 00:41:10,100
1639
+ two axis ู‡ุฐุง log ูˆ log ูŠุนู†ูŠ ู‡ูŠ ุงู„ุชูƒุณู ุจุชูƒูˆู† log
1640
+
1641
+ 411
1642
+ 00:41:10,100 --> 00:41:13,060
1643
+ scale ูˆ ู‡ุฐุง log scaleุŒ ุจูŠูƒูˆู† ุงุณู…ู‡ุง log log scale
1644
+
1645
+ 412
1646
+ 00:41:13,060 --> 00:41:17,120
1647
+ ุงู„ุขู† ู‡ูŠูƒ ู…ูƒูˆู† ุฎู„ุตู†ุง ู†ุดุฑุจ ุชุฑุถูŠ ุนู„ู‰ ุงู„ุฌุฒุก ุงู„ุจุณูŠุท
1648
+
1649
+ 413
1650
+ 00:41:17,120 --> 00:41:21,540
1651
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ fitting .. fitting experimental
1652
+
1653
+ 414
1654
+ 00:41:21,540 --> 00:41:23,700
1655
+ data
1656
+
1657
+ 415
1658
+ 00:41:25,550 --> 00:41:28,830
1659
+ ูˆุงุถุญุŸ ูŠุนู†ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ transformation ู…ู† non-linear
1660
+
1661
+ 416
1662
+ 00:41:28,830 --> 00:41:33,490
1663
+ scale ู„ linear scale ู…ู‡ู… ูƒุชูŠุฑ ุจูŠุณู‡ู„ ุงู„ุดุบู„ ูˆ
1664
+
1665
+ 417
1666
+ 00:41:33,490 --> 00:41:37,350
1667
+ ุงู„ุญุณุงุจุงุช ูˆ ุจูŠุณู‡ู„ ูู‡ู… ุงู„ trend ูู‡ู… .. ุจูŠุณู‡ู„ .. ุฃุซุฑ
1668
+
1669
+ 418
1670
+ 00:41:37,350 --> 00:41:43,390
1671
+ ูƒุชูŠุฑ ุจูŠุณู‡ู„ ุงู„ trend ูŠู„ุง
1672
+
1673
+ 419
1674
+ 00:41:43,390 --> 00:41:44,030
1675
+ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
1676
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/CtW3gdVs1C0.srt ADDED
@@ -0,0 +1,1582 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,580 --> 00:00:08,580
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,580 --> 00:00:13,540
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ ู…ุญุงุถุฑุงุชู†ุง ููŠ chapter ุซู„ุงุซุฉ
8
+
9
+ 3
10
+ 00:00:13,540 --> 00:00:16,860
11
+ ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช assessing and
12
+
13
+ 4
14
+ 00:00:16,860 --> 00:00:22,040
15
+ presenting experimental data ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุชุฉ
16
+
17
+ 5
18
+ 00:00:22,040 --> 00:00:27,060
19
+ ุชุญุฏุซู†ุง ุนู† ุงุณุชุฎุฏุงู… normal distribution ููŠ ุญุณุงุจุงุช
20
+
21
+ 6
22
+ 00:00:27,060 --> 00:00:32,160
23
+ ุงู„ู€.. ุฃูˆ ุงู„ู€.. ุงู„ู€ error ุนุฑูู†ุง ุงู„ู€ error ู‡ูˆ ุงู„ูุฑู‚
24
+
25
+ 7
26
+ 00:00:32,160 --> 00:00:39,160
27
+ ุจูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ููŠ ูƒุซูŠุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:39,160 --> 00:00:46,280
31
+ ุงู„ุฃุญูŠุงู† ุงู„ุชุฐุจุฐุจ ููŠ ุงู„ู‚ุฑุงุกุงุช ุญูˆู„ ุงู„ู†ู‚ุทุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุจุฃุฎุฐ
32
+
33
+ 9
34
+ 00:00:46,280 --> 00:00:52,680
35
+ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ูˆ Gaussian distribution ุงู„ู€
36
+
37
+ 10
38
+ 00:00:52,680 --> 00:00:53,920
39
+ Gaussian distribution
40
+
41
+ 11
42
+ 00:00:59,840 --> 00:01:03,240
43
+ ุจูุนุทู‰ ุจุงู„ุนู„ุงู‚ุฉ f of x ู‡ูˆ ูˆุงุญุฏ ุนู„ู‰ ุณูŠุฌู…ุง ุชุฑุจูŠุน
44
+
45
+ 12
46
+ 00:01:03,240 --> 00:01:07,500
47
+ ููŠ ุงุซู†ูŠู† by exponential minus x minus mu ุนู„ู‰ ุงุซู†ูŠู†
48
+
49
+ 13
50
+ 00:01:07,500 --> 00:01:13,520
51
+ ุณูŠุฌู…ุง ุชุฑุจูŠุน ุงู„ู€ x ู‡ูŠ ุงู„ู‚ุฑุงุกุฉุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉุŒ ุงู„ู€ mu
52
+
53
+ 14
54
+ 00:01:13,520 --> 00:01:17,740
55
+ ู‡ูŠ ุงู„ู€ mean value ู„ูƒู„ ุงู„ู€ populationุŒ ูˆ ุงู„ู€ sigma ู‡ูŠ
56
+
57
+ 15
58
+ 00:01:17,740 --> 00:01:22,990
59
+ ุงู„ู€ standard deviation ู„ู„ู€ populationุŒ ุงู„ู€ mean value
60
+
61
+ 16
62
+ 00:01:22,990 --> 00:01:27,730
63
+ ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ูŠุชู… ู‚ูŠุงุณู‡ุงุŒ ู…ุน ุงู„ุทุฑูŠู‚ุฉ ุงู„ุนู‚ู„ุงู†ูŠุฉ ุงู„ู„ูŠ ุฃู†ุชู…
64
+
65
+ 17
66
+ 00:01:27,730 --> 00:01:33,510
67
+ ุดุงูŠููŠู†ู‡ุงุŒ ุงู„ู„ูŠ ู‡ูŠ ู…ุฌู…ูˆุน ูƒู„ ุงู„ู‚ูŠู… ุนู„ู‰ ุนุฏุฏู‡ุงุŒ ุนุฑูู†ุง
68
+
69
+ 18
70
+ 00:01:33,510 --> 00:01:37,650
71
+ ุงู„ู€ deviationุŒ ุงู„ุงู†ุญุฑุงู ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ู€.. ุงู„ู€.. ุงู„ู€
72
+
73
+ 19
74
+ 00:01:37,650 --> 00:01:41,430
75
+ ุงู„ู€.. ุฃูˆ ุงู„ู€ mean valueุŒ ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุฃูŠ ู‚ุฑุงุกุฉ ูˆ ุงู„ู€
76
+
77
+ 20
78
+ 00:01:41,430 --> 00:01:48,550
79
+ mean valueุŒ ุทุจุนุงู‹
80
+
81
+ 21
82
+ 00:01:48,550 --> 00:01:53,300
83
+ ููŠ ู‡ุฐุง ุงู„ูƒู„ุงู… ุฃู†ุง ููŠ population ูˆ ููŠ ู†ู‚ุงุด sample
84
+
85
+ 22
86
+ 00:01:53,300 --> 00:01:59,140
87
+ ูˆุนุฑูู†ุง ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ population ูˆ ุจูŠู† ุงู„ู€ sampleุŒ ููŠ
88
+
89
+ 23
90
+ 00:01:59,140 --> 00:02:04,740
91
+ ุญุงู„ุฉ ุงู„ู€ population ุจู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ sigma ู„ู„ู€ standard
92
+
93
+ 24
94
+ 00:02:04,740 --> 00:02:07,160
95
+ deviation
96
+
97
+ 25
98
+ 00:02:08,640 --> 00:02:11,300
99
+ ุฃูˆ ู‡ู†ุง ุฅุญู†ุง ู†ุญูƒูŠ ุนู†ู‡ุง ุงู„ู„ูŠ ู‡ูˆ summary of
100
+
101
+ 26
102
+ 00:02:11,300 --> 00:02:13,340
103
+ probability estimates ููŠู‡ุงุŒ ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู† plus or
104
+
105
+ 27
106
+ 00:02:13,340 --> 00:02:17,580
107
+ minus sigmaุŒ plus or minus 1.96 sigmaุŒ ุฃูˆ plus or
108
+
109
+ 28
110
+ 00:02:17,580 --> 00:02:22,180
111
+ minus 3 sigmaุŒ ุงู„ู€ confidence ููŠ ุญุงู„ุฉ plus or minus
112
+
113
+ 29
114
+ 00:02:22,180 --> 00:02:25,560
115
+ sigma ูŠูƒูˆู† 68.3%
116
+
117
+ 30
118
+ 00:02:26,610 --> 00:02:31,750
119
+ ุงู„ู„ูŠ ููŠ ุญุงู„ุฉ ุงู„ู€ 1.96 ุณูŠุฌู…ุง ุจูŠูƒูˆู† 95%ุŒ ุงู„ู€ confidence
120
+
121
+ 31
122
+ 00:02:31,750 --> 00:02:37,150
123
+ intervalุŒ ุงู„ู€ plus or minus 3 ุณูŠุฌู…ุงุŒ ุงู„ู€ confidence 99
124
+
125
+ 32
126
+ 00:02:37,150 --> 00:02:43,590
127
+ .7%ุŒ ูŠุนู†ูŠ ุฃู†ู‘ู‡ ุจุชูƒูˆู† ุงู„ุจูŠุงู†ุงุช ูˆุงู‚ุนุฉ ููŠ ุงู„ู€
128
+
129
+ 33
130
+ 00:02:43,590 --> 00:02:49,050
131
+ range ู‡ุฐุง ุจู†ุณุจุฉ ู…ุซู„ุงู‹ 95%ุŒ ุจู†ุณุจุฉ 99.7% ู‡ุฐุง ุงู„ู€
132
+
133
+ 34
134
+ 00:02:49,050 --> 00:02:49,370
135
+ confidence
136
+
137
+ 35
138
+ 00:02:53,490 --> 00:02:56,350
139
+ ุงู„ู€ standard deviation ููŠ ุญุงู„ุฉ ุงู„ู€ population ู‡ูˆ ุฌุฐุฑ
140
+
141
+ 36
142
+ 00:02:56,350 --> 00:03:01,130
143
+ ุงู„ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ู…ุฌู…ูˆุน ุงู„ู€ deviations ุชุฑุจูŠุน ุนู„ู‰ ุงู„ู€
144
+
145
+ 37
146
+ 00:03:01,130 --> 00:03:03,490
147
+ .. ุนู„ู‰ ุงู„ู€ n ุงู„ู„ูŠ ู‡ูŠ number of readings
148
+
149
+ 38
150
+ 00:03:06,450 --> 00:03:11,010
151
+ ุทุจุนุงู‹ ุฅุญู†ุง ุนุดุงู† ู†ุฎู„ูŠ ุงู„ู€ probability distribution
152
+
153
+ 39
154
+ 00:03:11,010 --> 00:03:18,130
155
+ ุงู„ุฌูˆุณูŠู†ูŠ ูŠูƒูˆู† ู…ุชู…ุงุซู„ุงู‹ ุญูˆู„ ุงู„ู€ y axis ุงุณุชุฎุฏู…ู†ุง ุงู„ู€
156
+
157
+ 40
158
+ 00:03:18,130 --> 00:03:21,990
159
+ variable zุŒ ูˆุนุฑูู†ุง ุงู„ู€ z ุจูŠุณุงูˆูŠ x minus mu ุนู„ู‰
160
+
161
+ 41
162
+ 00:03:21,990 --> 00:03:25,310
163
+ ุณูŠุฌู…ุงุŒ ุจูŠุตูŠุฑ ุงู„ู€ probability density function ู…ุนุฑูุงู‹
164
+
165
+ 42
166
+ 00:03:25,310 --> 00:03:27,910
167
+ ุจุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ f of z ูˆุงุญุฏ ุนู„ู‰ ุณูŠุฌู…ุง ุฌุฐุฑ ุงุซู†ูŠู†
168
+
169
+ 43
170
+ 00:03:27,910 --> 00:03:31,170
171
+ ููŠ ุงุซู†ูŠู† by exponential of minus z ุชุฑุจูŠุน ุนู„ู‰
172
+
173
+ 44
174
+ 00:03:31,170 --> 00:03:31,930
175
+ ุงุซู†ูŠู†
176
+
177
+ 45
178
+ 00:03:40,130 --> 00:03:44,410
179
+ ุจูŠู‘ู† ุนู†ุฏูŠ ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ู…ุจูŠู‘ู†ูŠู† ุงู„ู€ different
180
+
181
+ 46
182
+ 00:03:44,410 --> 00:03:49,330
183
+ confidence intervalsุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฏูŠ ุงู„ู€ confidence
184
+
185
+ 47
186
+ 00:03:49,330 --> 00:03:52,590
187
+ ูŠูƒูˆู† ุฏูŠ ุฃุฎุฐ plus or minus sigmaุŒ ุฃูˆ plus or minus
188
+
189
+ 48
190
+ 00:03:52,590 --> 00:03:57,110
191
+ 2 sigmaุŒ ุฃูˆ plus or minus 3 sigma
192
+
193
+ 49
194
+ 00:04:00,550 --> 00:04:09,150
195
+ ู‡ูƒุฐุง ู†ุณุชุฎุฏู… table ุงุซู†ูŠู† ุนุดุงู† ู†ุฌุฏ for a given z
196
+
197
+ 50
198
+ 00:04:09,150 --> 00:04:13,470
199
+ value ู†ุฌุฏ ุงู„ู€ area ุชุญุช ุงู„ู€ probability density function
200
+
201
+ 51
202
+ 00:04:13,470 --> 00:04:18,030
203
+ ุญูˆู„ู‡
204
+
205
+ 52
206
+ 00:04:18,030 --> 00:04:20,870
207
+ example ุงุซู†ูŠู† ุนุดุงู† ู†ุดูˆู ูƒูŠู ุงุณุชุฎุฏุงู… ุงู„ุฌุฏุงูˆู„
208
+
209
+ 53
210
+ 00:04:20,870 --> 00:04:28,470
211
+ example ุซู„ุงุซุฉุŒ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง
212
+
213
+ 54
214
+ 00:04:31,100 --> 00:04:34,780
215
+ ุฅู„ู‰ ุงู„ุขู† so farุŒ ุฅุญู†ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ู€ theory of statistics
216
+
217
+ 55
218
+ 00:04:34,780 --> 00:04:38,720
219
+ based on populationุŒ ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ theory of
220
+
221
+ 56
222
+ 00:04:38,720 --> 00:04:44,260
223
+ statistics based on the sampleุŒ ุงู„ู‡ุฏู ู…ู† ุงุณุชุฎุฏุงู… ุงู„ู€
224
+
225
+ 57
226
+ 00:04:44,260 --> 00:04:49,480
227
+ sample ุฃู† ุฃู†ุง ุนู…ู„ูŠุงู‹ ุจูƒูˆู†ุด ู‚ุงุฏุฑ ุฃู† ุฃุบุทูŠ ูƒู„
228
+
229
+ 58
230
+ 00:04:49,480 --> 00:04:52,200
231
+ populationุŒ ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ุซู„ุงู‹ ู…ุฑุถู‰ ุงู„ุณูƒุฑูŠ ููŠ ูู„ุณุทูŠู†
232
+
233
+ 59
234
+ 00:04:52,200 --> 00:04:57,720
235
+ ุฃุนุฏุงุฏู‡ู… ู…ุซู„ุงู‹ ู…ุฆุงุช ุงู„ุขู„ุงูุŒ ุตุนุจ ุฃุบุทูŠ ูƒู„ populationุŒ ูˆ
236
+
237
+ 60
238
+ 00:04:57,720 --> 00:05:04,040
239
+ ุจุงู„ุชุงู„ูŠ ุจุถุทุฑ ุขุฎุฐ sampleุŒ ุงู„ู‡ุฏู ู‡ุณุชุฎุฏู… ุงู„ู€ average
240
+
241
+ 61
242
+ 00:05:04,040 --> 00:05:08,300
243
+ values from the sample to estimate mean or
244
+
245
+ 62
246
+ 00:05:08,300 --> 00:05:10,820
247
+ standard deviation of the populationุŒ ูŠุนู†ูŠ ู‡ุณุชุฎุฏู…
248
+
249
+ 63
250
+ 00:05:10,820 --> 00:05:15,340
251
+ ุงู„ู€ sample ุนุดุงู† ุฃุทู„ุน ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุฅุญุตุงุฆูŠุฉ ุงู„ู„ูŠ ุจุชู…ุซู„
252
+
253
+ 64
254
+ 00:05:15,340 --> 00:05:22,960
255
+ ุฅู„ู‰ ุญุฏ ู…ุง ุงู„ู€ population ุจุดูƒู„ ุนุงู…ุŒ ููŠ ุญุงู„ุฉ ุงู„ู€ sample
256
+
257
+ 65
258
+ 00:05:22,960 --> 00:05:27,780
259
+ ุงู„ู€ sample ู…ู…ูƒู† ุชู„ุช ู‚ุฑุงุกุฉุŒ ุฎู…ุณูŠู† ู‚ุฑุงุกุฉุŒ ุฃู„ู ู‚ุฑุงุกุฉุŒ ุงู„ู€
260
+
261
+ 66
262
+ 00:05:27,780 --> 00:05:31,280
263
+ .. ุงู„ู€.. ุงู„ู€ mean value ู„ูƒู„ ู‚ุฑุงุกุฉ ุจูŠุณุงูˆูŠ ู…ุฌู…ูˆุน
264
+
265
+ 67
266
+ 00:05:31,280 --> 00:05:36,240
267
+ ุนู„ู‰ ุฅูŠุดุŸ ุนู„ู‰ ุนุฏุฏู‡ุงุŒ ู‡ูŠ ู‡ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏ ุฒุงุฆุฏ
268
+
269
+ 68
270
+ 00:05:36,240 --> 00:05:39,720
271
+ ุงู„ู‚ุฑุงุกุฉ ุงุซู†ูŠู† ุฒุงุฆุฏ ุงู„ู‚ุฑุงุกุฉ ุซู„ุงุซุฉ ู„ุญุฏ ุงู„ู‚ุฑุงุกุฉ N ุนู„ู‰
272
+
273
+ 69
274
+ 00:05:39,720 --> 00:05:45,240
275
+ NุŒ ุงู„ู€ standard deviation ููŠ ุงู„ุญุงู„ุฉ ุงู„ู€ sample ู†ูุณ
276
+
277
+ 70
278
+ 00:05:45,240 --> 00:05:50,840
279
+ ุงู„ู…ุนุงุฏู„ุฉุŒ ู…ุฌู…ูˆุน ุงู„ู€ deviations ุชุฑุจูŠุน ุนู„ู‰ N minus
280
+
281
+ 71
282
+ 00:05:50,840 --> 00:05:54,820
283
+ oneุŒ ุนู„ู‰ N minus oneุŒ ูƒู„ู‘ู‡ ุชุญุช ุงู„ุฌุฐุฑ
284
+
285
+ 72
286
+ 00:05:59,250 --> 00:06:02,570
287
+ ู„ูˆ ุนู…ู„ู†ุง ููŠ ุงู„ู€.. ููŠ ุงู„ู€.. ููŠ ุงู„ู€ symbols ุงู„ู…ุณุชุฎุฏู…ุฉ
288
+
289
+ 73
290
+ 00:06:02,570 --> 00:06:07,290
291
+ ููŠ.. ููŠ ุญุงู„ุฉ ุงู„ู€ population ูˆููŠ ุญุงู„ุฉ ุงู„ู€.. ุงู„ู€
292
+
293
+ 74
294
+ 00:06:07,290 --> 00:06:10,710
295
+ sampleุŒ ููŠ ุญุงู„ุฉ population ุงู„ู€ mean value ุจู†ุณุชุฎุฏู…
296
+
297
+ 75
298
+ 00:06:10,710 --> 00:06:18,210
299
+ ฮผ ุฃูˆ ฮผxุŒ ููŠ ุญุงู„ุฉ ุงู„ู€ sample ู†ุณุชุฎุฏู… x barุŒ ุงู„ู€
300
+
301
+ 76
302
+ 00:06:18,210 --> 00:06:21,250
303
+ standard deviation ููŠ ุญุงู„ุฉ ุงู„ู€ population ู†ุณุชุฎุฏู…
304
+
305
+ 77
306
+ 00:06:21,250 --> 00:06:27,530
307
+ ฯƒ ุฃูˆ ฯƒxุŒ ููŠ ุญุงู„ุฉ ุงู„ู€ sample ู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ Sx
308
+
309
+ 78
310
+ 00:06:27,530 --> 00:06:32,830
311
+ ุนุดุงู† ู†ู…ูŠู‘ุฒุŒ ูŠุนู†ูŠ ฮผ ูˆ ฯƒ ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„ู€
312
+
313
+ 79
314
+ 00:06:32,830 --> 00:06:38,410
315
+ populationุŒ ูˆ ุงู„ู€ x bar ูˆ ุงู„ู€ Sx ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„ู€
316
+
317
+ 80
318
+ 00:06:38,410 --> 00:06:39,030
319
+ sample
320
+
321
+ 81
322
+ 00:06:43,290 --> 00:06:49,230
323
+ ุฎู„ูŠู†ุง ู†ุดูˆู example ู†ู‚ุฑุงู‡
324
+
325
+ 82
326
+ 00:06:49,230 --> 00:06:54,290
327
+ ูˆุจุนุฏูŠู† ู†ุดูˆู ูƒูŠู ู†ุญู„ู‘ู‡ ู…ุน ุจุนุถุŒ during a twelve hour
328
+
329
+ 83
330
+ 00:06:54,290 --> 00:06:58,530
331
+ test of a steam generatorุŒ ูƒุงู† ููŠู†ุง ูุญุต ู…ุฏุฉ ุงุซู†ุชูŠ ุนุดุฑ
332
+
333
+ 84
334
+ 00:06:58,530 --> 00:07:05,030
335
+ ุณุงุนุฉ ู„ู…ูˆู„ุฏ ุจุฎุงุฑูŠุŒ inlet pressure to be held
336
+
337
+ 85
338
+ 00:07:05,030 --> 00:07:07,910
339
+ constantุŒ ูŠุนู†ูŠ ุฃู†ุช ู‡ุฐุง ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
340
+
341
+ 86
342
+ 00:07:12,120 --> 00:07:16,660
343
+ ุนู†ุฏ steam generator
344
+
345
+ 87
346
+ 00:07:16,660 --> 00:07:21,800
347
+ ู†ุฏุฎู„ู‡
348
+
349
+ 88
350
+ 00:07:21,800 --> 00:07:26,200
351
+ ุจุฎุงุฑุŒ ุงู„ู€
352
+
353
+ 89
354
+ 00:07:26,200 --> 00:07:30,600
355
+ P inlet pressure ู…ุนูŠู‘ู†ุŒ ุฃู†ุง ู‡ุฏู ุงู„ุชุฌุฑุจุฉ ุฃู† ุฃู‚ูŠุณ
356
+
357
+ 90
358
+ 00:07:30,600 --> 00:07:36,140
359
+ ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
360
+
361
+ 91
362
+ 00:07:37,780 --> 00:07:43,160
363
+ inlet pressure to be held constant at 4 MPaุŒ ุงู„ู…ุทู„ูˆุจ
364
+
365
+ 92
366
+ 00:07:43,160 --> 00:07:48,700
367
+ ุฃู† ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุชูƒูˆู† ู‚ูŠู…ุชู‡ ุซุงุจุชุฉุŒ ูŠุญูุธ
368
+
369
+ 93
370
+ 00:07:48,700 --> 00:07:55,640
371
+ ุนู†ุฏ ุญูˆุงู„ูŠ 4 MPaุŒ ูŠุนู†ูŠ ุญูˆุงู„ูŠ 40 barุŒ for
372
+
373
+ 94
374
+ 00:07:55,640 --> 00:08:00,700
375
+ proper performanceุŒ ุนุดุงู† ุงู„ู€ generator ูŠู‚ุฏู‘ู… ุนู…ู„ู‡
376
+
377
+ 95
378
+ 00:08:00,700 --> 00:08:06,180
379
+ ุจุดูƒู„ ู…ู†ุงุณุจุŒ pressure should not deviate from this
380
+
381
+ 96
382
+ 00:08:06,180 --> 00:08:12,430
383
+ value by more than by more than one percentุŒ ุงู„ู€
384
+
385
+ 97
386
+ 00:08:12,430 --> 00:08:16,770
387
+ pressureุŒ ุฃู‚ู„ู‘ ุนุดุงู† ุงู„ู€ steam ุงู„ู„ูŠ ุจุชุดุชุบู„ ุตุญุŒ ุงู„ู€
388
+
389
+ 98
390
+ 00:08:16,770 --> 00:08:20,170
391
+ deviationุŒ ุงู„ุงู†ุญุฑุงู ู…ุง ู„ุงุฒู… ูŠูƒูˆู† ุฃูƒุซุฑ ู…ู† ูˆุงุญุฏ ููŠ
392
+
393
+ 99
394
+ 00:08:20,170 --> 00:08:23,990
395
+ ุงู„ู…ุฆุฉ ู…ู† ุงู„ุฃุฑุจุนุฉ ู…ูŠุฌุงุŒ ๏ฟฝ๏ฟฝุนู†ูŠ ู…ุง ู„ุงุฒู… ูŠุฒูŠุฏ ุนู† 0.04
396
+
397
+ 100
398
+ 00:08:23,990 --> 00:08:33,020
399
+ ู…ูŠุฌุง ุณูˆุงุก ุจุงู„ู…ูˆุฌุจ ุฃูˆ ุจุงู„ุณุงู„ุจุŒ inlet pressure
400
+
401
+ 101
402
+ 00:08:33,020 --> 00:08:35,840
403
+ was measured one hundred times during the test
404
+
405
+ 102
406
+ 00:08:35,840 --> 00:08:41,920
407
+ ุฎู„ุงู„ ูุชุฑุฉ ุงุซู†ุชูŠ ุนุดุฑ ุณุงุนุฉ ุฃุฎุฐู†ุง ู…ุฆุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุทุŒ ุฃุฎุฐู†ุง
408
+
409
+ 103
410
+ 00:08:41,920 --> 00:08:47,960
411
+ ู…ุฆุฉ ู‚ุฑุงุกุฉ ุฎู„ุงู„ ูุชุฑุฉ ุงุซู†ุชูŠ ุนุดุฑ ุณุงุนุฉุŒ ุทุจุนุงู‹ ุงู„ู‚ุฑุงุกุงุช
412
+
413
+ 104
414
+ 00:08:47,960 --> 00:08:52,320
415
+ ุงู„ู…ุฆุฉ ู…ุง ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠุกุŒ ู‡ุชุฎุชู„ู ุนู† ุจุนุถู‡ุงุŒ Various
416
+
417
+ 105
418
+ 00:08:52,320 --> 00:08:55,800
419
+ factors cause the readings to fluctuateุŒ ููŠู‡ ุงู„ุนุฏูŠุฏ
420
+
421
+ 106
422
+ 00:08:55,800 --> 00:09:02,460
423
+ ู…ู† ุงู„ู…ุคุซุฑุงุช ุงู„ู„ูŠ ู‡ุชุฎู„ูŠ ุงู„ู‚ูŠู… ุชุฎุชู„ูุŒ ู‡ุชูƒูˆู† ู…ุง ู‡ุชูƒูˆู†ุด
424
+
425
+ 107
426
+ 00:09:02,460 --> 00:09:08,260
427
+ ู†ูุณ ุงู„ุฃุดูŠุงุกุŒ ุงู„ู€ resolution ุทุจุนุงู‹ ููŠู‡ ุนู†ุฏ pressure
428
+
429
+ 108
430
+ 00:09:08,260 --> 00:09:17,660
431
+ gaugeุŒ ุนู†ุฏ pressure gauge ุจู‚ูŠุณ
432
+
433
+ 109
434
+ 00:09:17,660 --> 00:09:18,080
435
+ ุงู„ู€ pressure
436
+
437
+ 110
438
+ 00:09:26,570 --> 00:09:32,070
439
+ ุงู„ุชุฏุฑูŠุฌ ููŠ ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„ุถุบุท ู„ุญุฏ ูˆุงุญุฏ ููŠ ุงู„ุฃู„ูุŒ 0.001
440
+
441
+ 111
442
+ 00:09:32,070 --> 00:09:34,030
443
+ ู…ูŠุฌุง ุจุงุณูƒุงู„
444
+
445
+ 112
446
+ 00:09:49,100 --> 00:09:54,980
447
+ the number of results M is the number of readings
448
+
449
+ 113
450
+ 00:09:54,980 --> 00:09:58,580
451
+ falling in an interval of plus or minus 0.05ุŒ ู„ู…ุง
452
+
453
+ 114
454
+ 00:09:58,580 --> 00:10:06,980
455
+ ุจุขุฎุฐ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ููŠ ู‡ุฐู‡ intervalุŒ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ูˆุณุทู‰ ูˆููŠ
456
+
457
+ 115
458
+ 00:10:06,980 --> 00:10:13,620
459
+ ุจุฑูˆุญูŠ ุนู„ู‰ ุดู…ุงู„ู‡ุง plus or minusุŒ ุจุฑูˆุญ minus 0.005
460
+
461
+ 116
462
+ 00:10:15,350 --> 00:10:23,010
463
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆููŠ ุงู„ู…ูˆุฌุจ ุจุฑูˆุญ plus 0.005
464
+
465
+ 117
466
+ 00:10:23,010 --> 00:10:27,250
467
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ุŒ ูˆู‡ุฐุง ุงู„ู€ mean valueุŒ ูŠุนู†ูŠ ุจุญูƒูŠ ุงู„ู‚ุฑุงุกุงุช
468
+
469
+ 118
470
+ 00:10:27,250 --> 00:10:36,030
471
+ ู…ุซู„ุงู‹ ุญุฏ ู‡ู†ุงุŒ ู‡ุฐู‡ ุงู„ู€ mean value ุฃุฑุจุนุฉุŒ ุฃู†ุง ุจุฃุฎุฐ
472
+
473
+ 119
474
+ 00:10:36,030 --> 00:10:42,510
475
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู† ุฃุฑุจุนุฉ minus 0.005 ู„ุฃุฑุจุนุฉ
476
+
477
+ 120
478
+ 00:10:42,510 --> 00:10:53,780
479
+ plus 0.005ุŒ ุจุฃุนุชุจุฑู‡ุง ุจุชู…ุซู„ู‡ุง ุฅูŠุดุŸ ุงู„ุฃุฑุจุนุฉุŒ ุทูŠุจ
480
+
481
+ 121
482
+ 00:10:53,780 --> 00:11:00,620
483
+ ุงู„ู‚ุฑุงุกุฉ ุทู„ุนุช ุนู†ุฏูŠุŒ ุฃู†ุง ุญุงูƒูŠู‡ุง ุฅู† ุฃุฎุฐู†ุง ููŠ ุงู„ุงุซู†ุชูŠ ุนุดุฑ
484
+
485
+ 122
486
+ 00:11:00,620 --> 00:11:07,760
487
+ ุณุงุนุฉ ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ุนู†ุฏูŠ ุฃูˆู„ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ ุนู†ุฏูŠ
488
+
489
+ 123
490
+ 00:11:07,760 --> 00:11:11,220
491
+ ุทู„ุนุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ุฅูŠุด ู…ุนู†ุงู‡ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉุŸ
492
+
493
+ 124
494
+ 00:11:12,320 --> 00:11:17,320
495
+ ูŠุนู†ูŠ ุงู„ู€ rangeุŒ ุงู„ู€ range ุจุชุงุนู‡ุง ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ
496
+
497
+ 125
498
+ 00:11:17,320 --> 00:11:24,820
499
+ ุณุจุนุฉ plus or minus 0.005ุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ู€
500
+
501
+ 126
502
+ 00:11:24,820 --> 00:11:36,780
503
+ range ู‡ุชู…ุซู„ู‡ุง ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ู„ุซู„ุงุซุฉ
504
+
505
+ 127
506
+ 00:11:36,780 --> 00:11:45,260
507
+ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉุŒ ูˆุงุถุญุฉ ูŠุนู†ูŠ
508
+
509
+ 128
510
+ 00:11:45,260 --> 00:11:52,700
511
+ ู‡ุฐู‡ ุชู…ุซู„ ุงู„ู€ range ุจุชุงุนู‡ุงุŒ ุจูŠู† ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ
512
+
513
+ 129
514
+ 00:11:52,700 --> 00:11:57,740
515
+ ู„ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉุŒ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุฅูŠุด ู‚ูŠู…ุชู‡ุงุŸ
516
+
517
+ 130
518
+ 00:11:57,740 --> 00:12:07,540
519
+ ุงู„ู„ูŠ ู‡ูŠ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุณุจุนุฉุŒ ู„ูˆ ุฃุฎุฐู†ุง ู‡ุฐู‡ ู‡ุชูƒูˆู†
520
+
521
+ 131
522
+ 00:12:07,540 --> 00:12:08,820
523
+ ุจูŠู†
524
+
525
+ 132
526
+ 00:12:11,000 --> 00:12:19,860
527
+ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ู„ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุตูุฑ ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:12:19,860 --> 00:12:23,180
531
+ ุงู„ู„ูŠ ููŠ
532
+
533
+ 134
534
+ 00:12:23,180 --> 00:12:29,340
535
+ ุงู„ู†ุต ุฅูŠุดุŸ ุฃุฑุจุนุฉุŒ ู…ุนู†ุงู‡ ูƒู„ ู‚ูŠู…ุฉ ุจุชู…ุซู„ู‡ุง rangeุŒ ุฃู†ุง ุจุฃุฎุฐ
536
+
537
+ 135
538
+ 00:12:29,340 --> 00:12:34,300
539
+ ุงู„ู€ center value ุจุณุŒ ุจุฃุฎุฐ ุงู„ู€ center valueุŒ ู…ุนู†ุงู‡ ุงู„ู€
540
+
541
+ 136
542
+ 00:12:34,300 --> 00:12:36,940
543
+ range ุงู„ู„ูŠ ุงู„ู€ center value ุจุชุงุนุชู‡ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ
544
+
545
+ 137
546
+ 00:12:36,940 --> 00:12:42,200
547
+ ุณุจุนุฉ ุจุชุธู‡ุฑ ุนู†ุฏูŠ ู‚ุฑุงุกุฉุŒ ุจุชู‚ูŠู… ุงู„ู‚ูŠู…ุฉ ููŠ ู‡ุฐุง ุงู„ู€ range
548
+
549
+ 138
550
+ 00:12:42,200 --> 00:12:44,900
551
+ ุงู„ู„ูŠ ุงู„ู€ center value ุจุชุงุนุชู‡ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ
552
+
553
+ 139
554
+ 00:12:44,900 --> 00:12:50,540
555
+ ุซู…ุงู†ูŠุฉุŒ ุตูุฑุŒ ุชุทู„ุน ุซู„ุงุซ ู‚ุฑุงุกุงุชุŒ ุงู„ู€ range ุงู„ู„ูŠ ุงู„ู€
556
+
557
+ 140
558
+ 00:12:50,540 --> 00:12:53,660
559
+ center value ุจุชุงุนุชู‡ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุชุณุนุฉ ุตูุฑ
560
+
561
+ 141
562
+ 00:12:53,660 --> 00:13:01,500
563
+ ุจูŠุนุทูŠู†ุง ุงุซู†ุชูŠ ุนุดุฑ ู‚ุฑุงุกุฉุŒ ูˆู‡ูƒุฐุงุŒ ู…ุฌู…ูˆุนู‡ู… ุจูŠุทู„ุน ู…ุฆุฉ
564
+
565
+ 142
566
+ 00:13:01,500 --> 00:13:05,520
567
+ ู‚ุฑุงุกุฉุŒ ู…ุนู†ุงู‡ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู†ุง ุฌู…ุนุชู‡ุง ู…ู†
568
+
569
+ 143
570
+ 00:13:05,520 --> 00:13:11,240
571
+ ุงู„ุชุฌุฑุจุฉุŒ ุทุจุนุงู‹ ููŠ ุงู„ุจุฏุงูŠุฉ ุจูŠูƒูˆู† ุนู†ุฏูŠ ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ุจุนุฏูŠู†
572
+
573
+ 144
574
+ 00:13:11,240 --> 00:13:15,380
575
+ ุฃู†ุง ุจุตู†ู‘ูู‡ู… ุจุดูƒู„ ู‡ุฐุงุŒ ุจูŠูƒูˆู† ุนู†ุฏูŠ ุฅูŠุดุŸ ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ
576
+
577
+ 145
578
+ 00:13:15,380 --> 00:13:18,500
579
+ ุจุนุฏูŠู† ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู†.. ุงู„ู„ูŠ ุจูŠู†
580
+
581
+ 146
582
+ 00:13:18,500 --> 00:13:21,340
583
+ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ูˆุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ
584
+
585
+ 147
586
+ 00:13:21,340 --> 00:13:27,600
587
+ ุฎู…ุณุฉุŒ ุจุฃุนุชุจุฑู‡ู… ุฅูŠุดุŸ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู†
588
+
589
+ 148
590
+ 00:13:27,600 --> 00:13:30,840
591
+ ุซู„ุงุซุฉ ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ูˆุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุฎู…ุณุฉุŒ ู†ูุณ
592
+
593
+ 149
594
+ 00:13:30,840 --> 00:13:31,680
595
+ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุจุนุฏู‡ู…
596
+
597
+ 150
598
+ 00:13:38,540 --> 00:13:44,200
599
+ ุทุจุนุงู‹ ููŠ ุงู„ุฃูˆู„ ุจุนู…ู„ plot ู„ู„ู€ histogramุŒ plot ู„ู„ู€
600
+
601
+ 151
602
+ 00:13:44,200 --> 00:13:48,740
603
+ histogramุŒ ุฅุญู†ุง ู„ุฏูŠู†ุง ุจุฏุฃู†ุง ุจุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ
604
+
605
+ 152
606
+ 00:13:48,740 --> 00:13:51,960
607
+ ู„ุญุธุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุซู…ุงู†ูŠุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุชุณุนุฉ
608
+
609
+ 153
610
+ 00:13:51,960 --> 00:13:57,140
611
+ ุฃุฑุจุนุฉุŒ ุจุฒูŠุฏ 0.1 ูƒู„ ู…ุฑุฉุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ูˆุงุญุฏุŒ ุฃุฑุจุนุฉ
612
+
613
+ 154
614
+ 00:13:57,140 --> 00:14:00,000
615
+ ูุงุตู„ุฉ ุงุซู†ูŠู†ุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุฃุฑุจุนุฉ
616
+
617
+ 155
618
+ 00:14:00,000 --> 00:14:05,510
619
+ ูุงุตู„ุฉ ุฎู…ุณุฉุŒ ู…ุนู†ุงู‡ ุจู‚ุณู… ุงู„ู…ุญูˆุฑ ุงู„ุฃูู‚ูŠุŒ ุฃู†ุง ุจุฃุจุฏุฃ ู…ู†
620
+
621
+ 156
622
+ 00:14:05,510 --> 00:14:10,210
623
+ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุณุชุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุณุจุนุฉุŒ ุซู„ุงุซุฉ
624
+
625
+ 157
626
+ 00:14:10,210 --> 00:14:15,170
627
+ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉุŒ ุฃุฑุจุนุฉุŒ ุฃุฑุจุนุฉ
628
+
629
+ 158
630
+ 00:14:15,170 --> 00:14:18,690
631
+ ูุงุตู„ุฉ ุตูุฑ ูˆุงุญุฏุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุงุซู†ูŠู†ุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุซู„ุงุซุฉ
632
+
633
+ 159
634
+ 00:14:18,690 --> 00:14:22,130
635
+ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุฃุฑุจุนุฉุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุฎู…ุณุฉุŒ ุฃุฑุจุนุฉ ูุงุตู„ุฉ
636
+
637
+ 160
638
+ 00:14:22,130 --> 00:14:28,510
639
+ ุตูุฑ ุณุชุฉุŒ ู‡ูŠู†ุง ุจุญุท ุฅูŠุดุŸ ุงู„ุชูƒุฑุงุฑ
640
+
641
+ 161
642
+ 00:14:32,100 --> 00:14:36,600
643
+ ุฅุญู†ุง ู‡ู†ุง ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ ุจุชุชูƒุฑุฑ ุฅูŠุดุŸ ู…ุฑุฉ
644
+
645
+ 162
646
+ 00:14:36,600 --> 00:14:44,440
647
+ ูˆุงุญุฏุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุซู…ุงู†ูŠุฉ ุซู„ุงุซ ู…ุฑุงุชุŒ ู†ุฑุฌุน
648
+
649
+ 163
650
+ 00:14:44,440 --> 00:14:47,820
651
+ ุงู„ุซู„ุงุซุฉ
652
+
653
+ 164
654
+ 00:14:47,820 --> 00:14:52,520
655
+ ูุงุตู„ุฉ ุชุณุนุฉ ุชุณุนุฉ ุงุซู†ุชูŠ ุนุดุฑ
656
+
657
+ 165
658
+ 00:14:52,520 --> 00:14:58,980
659
+ ู…ุฑุฉุŒ ุงู„ุฃุฑุจุนุฉ
660
+
661
+ 166
662
+ 00:15:02,090 --> 00:15:08,410
663
+ ู‡ุฐู‡ ุงู„ุฃุฑุจุนุฉ ู‡ุฐู‡
664
+
665
+ 167
666
+ 00:15:08,410 --> 00:15:12,890
667
+ ุนุดุฑูˆู†ุŒ ูˆุฎู…ุณุฉุŒ ูˆุนุดุฑูŠู†ุŒ ูˆูƒุฐุงุŒ ูุงู„ุดูƒู„ ู‡ูŠูƒูˆู† ุฅูŠุดุŸ
668
+
669
+ 168
670
+ 00:15:12,890 --> 00:15:17,930
671
+ ู…ุณุชุทูŠู„ุŒ ูุจูŠุทู„ุน
672
+
673
+ 169
674
+ 00:15:17,930 --> 00:15:25,450
675
+ ุดูƒู„ ุงู„ู€ histogramุŒ ูˆุงุถุญ ู…ู† ุดูƒู„ ุชูˆุฒูŠุน ุงู„ุฃุนู…ุฏุฉ ุจุงู„ู†ุธุฑ
676
+
677
+ 170
678
+ 00:15:25,450 --> 00:15:32,190
679
+ ุฅู†ูŠ ู…ู…ูƒู† ุฃุญูƒูŠ ุฃู† ู‡ูˆ ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ normal
680
+
681
+ 171
682
+ 00:15:32,190 --> 00:15:37,170
683
+ distributionุŒ ุงู„ุขู†
684
+
685
+ 172
686
+ 00:15:37,170 --> 00:15:42,050
687
+ ุงู„ู€ normal distribution ู‡ุฐุงุŒ ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ excel
688
+
689
+ 173
690
+ 00:15:42,050 --> 00:15:51,110
691
+ sheetุŒ ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ excel sheetุŒ ุฃูˆ
692
+
693
+ 174
694
+ 00:15:51,110 --> 00:15:53,090
695
+ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุจุฑู†ุงู…ุฌ ุงู„ู€ minitab
696
+
697
+ 175
698
+ 00:16:05,030 --> 00:16:10,870
699
+ ุฃู†ุง ุญุงุทู‘ ู‡ู†ุง ุงู„ู€ pressure ุจุงู„ู…ูŠุฌุง ุจุงุณูƒุงู„ุŒ ุจุจุฏุฃ ู…ู†
700
+
701
+ 176
702
+ 00:16:10,870 --> 00:16:14,590
703
+ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ ู„ุญุฏ ุฃุฑุจุนุฉ ูุงุตู„ุฉ ุตูุฑ ุฎู…ุณุฉ
704
+
705
+ 177
706
+ 00:16:14,590 --> 00:16:21,370
707
+ ุจุนุฏูŠู† number of results MุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุจุนุฉ
708
+
709
+ 178
710
+ 00:16:21,370 --> 00:16:25,790
711
+ ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุซู…ุงู†ูŠุฉ ุซู„ุงุซ ู…ุฑุงุช
712
+
713
+ 179
714
+ 00:16:25,790 --> 00:16:29,770
715
+ ุงู„ุฃุฑุจุนุฉ ุฎู…ุณุฉ ุนุดุฑ ู…ุฑุฉุŒ ูˆุงุญุฏุŒ ูƒุฐุงุŒ ุจุนุฏูŠู† ุจุถุฑุจ ูƒู„ ู‚ุฑุงุกุฉ
716
+
717
+ 180
718
+ 00:16:29,770 --> 00:16:35,210
719
+ ูƒู„ ู‚ุฑุงุกุฉ ุจุถุฑุจู‡ุง P ููŠ MุŒ ูŠุนู†ูŠ ุซู„ุงุซุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุณุชุฉ
720
+
721
+ 181
722
+ 00:16:35,210 --> 00:16:38,990
723
+ ููŠ ูˆุงุญุฏุŒ ูˆุซู„ุงุซุฉ ูุงุตู„ุฉ
724
+
725
+ 223
726
+ 00:19:57,420 --> 00:20:03,720
727
+ ุงู„ summation for
728
+
729
+ 224
730
+ 00:20:03,720 --> 00:20:11,800
731
+ all X ุนู„ู‰
732
+
733
+ 225
734
+ 00:20:11,800 --> 00:20:18,300
735
+ N ูˆุงู„ู€
736
+
737
+ 226
738
+ 00:20:18,300 --> 00:20:30,950
739
+ deviation I ุจุณุงูˆูŠ XI minus X bar ูˆ
740
+
741
+ 227
742
+ 00:20:30,950 --> 00:20:38,250
743
+ ุงู„ deviation I ุชุฑุจูŠุน ุงู„ู„ูŠ ู‡ูŠ XI minus X bar ูƒู„
744
+
745
+ 228
746
+ 00:20:38,250 --> 00:20:42,770
747
+ ุชุฑุจูŠุน ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ SX ู„ุฃู† ุจุญูƒูŠ ุนู†
748
+
749
+ 229
750
+ 00:20:42,770 --> 00:20:45,750
751
+ ุงู„ sample ุจุณุงูˆูŠ ุฌุฐุฑ ุงู„ุชุฑุจูŠุน
752
+
753
+ 230
754
+ 00:20:49,530 --> 00:20:59,110
755
+ ุงู„ุตู…ู…ุดู† ู„ DI ุชุฑุจูŠุน ู…ู† I ู…ู† ูˆุงุญุฏ ู„ N ุนู„ู‰ N ู†ุงู‚ุต
756
+
757
+ 231
758
+ 00:20:59,110 --> 00:21:00,910
759
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ
760
+
761
+ 232
762
+ 00:21:00,910 --> 00:21:01,590
763
+ N ู†ุงู‚ุต ูˆุงุญุฏ
764
+
765
+ 233
766
+ 00:21:01,590 --> 00:21:01,710
767
+
768
+
769
+ 234
770
+ 00:21:01,710 --> 00:21:01,970
771
+
772
+
773
+ 235
774
+ 00:21:01,970 --> 00:21:06,650
775
+
776
+
777
+ 236
778
+ 00:21:06,650 --> 00:21:10,150
779
+
780
+
781
+ 237
782
+ 00:21:10,150 --> 00:21:12,210
783
+
784
+
785
+ 238
786
+ 00:21:12,210 --> 00:21:12,470
787
+ ูˆุงุญุฏ
788
+
789
+ 239
790
+ 00:21:15,770 --> 00:21:24,610
791
+ ูˆ ุจุญุณุจ ุงู„ standard deviation ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ุทูŠุจ
792
+
793
+ 240
794
+ 00:21:24,610 --> 00:21:31,010
795
+ ูุงุญู†ุง
796
+
797
+ 241
798
+ 00:21:31,010 --> 00:21:36,410
799
+ ู‡ุฐุง ุงู„ุฌุฏูˆู„ ุฃู†ุง ู…ู† ุงู„ Excel ุจุงุฎุฏู‡ ูุญุณุจุช ุงู„ mini
800
+
801
+ 242
802
+ 00:21:36,410 --> 00:21:41,490
803
+ pressure 4.008 ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆ ุงู„ standard deviation
804
+
805
+ 243
806
+ 00:21:41,490 --> 00:21:49,070
807
+ 0.014 ู…ูŠุฌุง ุจุงุณูƒุงู„ุŒ ุงู„ูุชุฑุฉ
808
+
809
+ 244
810
+ 00:21:49,070 --> 00:21:53,990
811
+ ุงู„ู„ูŠ ุจุชุญุชูˆูŠ ุนู„ู‰ 95% ู…ู† ุงู„ pressure readings ู…ู†
812
+
813
+ 245
814
+ 00:21:53,990 --> 00:22:03,730
815
+ ู‚ุฑุงุกุงุช ุงู„ุถุบุท ู‡ูŠ ู‡ุชูƒูˆู† ู…ูŠูˆ ุฃูˆ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ูุชุฑุฉ
816
+
817
+ 246
818
+ 00:22:03,730 --> 00:22:10,090
819
+ ุงู„ู„ูŠ ุจุชุบุทูŠ 95% ู…ู† ุงู„ู‚ุฑุงุกุงุช ู‡ุชูƒูˆู† X bar ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต
820
+
821
+ 247
822
+ 00:22:10,090 --> 00:22:13,790
823
+ 1.96SX
824
+
825
+ 248
826
+ 00:22:15,470 --> 00:22:20,870
827
+ ุงู„ู€ x bar ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ point o o ุซู…ุงู†ูŠุฉ ุฒุงุฆุฏ ุฃูˆ
828
+
829
+ 249
830
+ 00:22:20,870 --> 00:22:24,770
831
+ ู†ุงู‚ุต ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ ุงู„ standard deviation ุฏูŠ
832
+
833
+ 250
834
+ 00:22:24,770 --> 00:22:31,950
835
+ ุฅุญู†ุง ุญุณุจู†ุงู‡ุง point o ูˆุงุญุฏ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† four
836
+
837
+ 251
838
+ 00:22:31,950 --> 00:22:37,950
839
+ point o o ุซู…ุงู†ูŠุฉ plus or minus ุงู„ู„ูŠ ู‡ูŠ point o
840
+
841
+ 252
842
+ 00:22:37,950 --> 00:22:42,690
843
+ ุงุซู†ูŠู† ุณุจุนุฉ ู…ูŠุฌุง ุจุงุณูƒุงู„
844
+
845
+ 253
846
+ 00:22:45,570 --> 00:22:47,710
847
+ ุฎู…ุณุฉ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ู† ุงู„ูƒู…ุจูŠูˆุชุฑุงุช ุฎู…ุณุฉ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ุน
848
+
849
+ 254
850
+ 00:22:47,710 --> 00:22:50,650
851
+ ุงู„ู†ุชุงุฆุฌ ุฎู…ุณุฉ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุฌุงูŠุฉ ููŠ ุงู„
852
+
853
+ 255
854
+ 00:22:50,650 --> 00:22:56,010
855
+ range ู‡ุฐุงุŒ one
856
+
857
+ 256
858
+ 00:22:56,010 --> 00:22:59,430
859
+ objective of the pressure test ูƒุงู† ุฃุญุฏ ุงู„ุฃู‡ุฏุงู ู…ู†
860
+
861
+ 257
862
+ 00:22:59,430 --> 00:23:04,070
863
+ ูุญุต ุงู„ุถุบุท was to verify .. was to verify .. ู†ุชุฃูƒุฏ
864
+
865
+ 258
866
+ 00:23:04,070 --> 00:23:09,070
867
+ ุฃู† ุงู„ุถุบุท ู…ุง ูŠูƒูˆู†ุด
868
+
869
+ 259
870
+ 00:23:09,070 --> 00:23:11,870
871
+ ุงู†ุญุฑุงููŠ ุฃูƒุซุฑ ู…ู† ูˆุงุญุฏ ููŠ ุงู„ู…ุฆุฉ ูˆุงุญุฏ ููŠ ุงู„ู…ุฆุฉ ู…ู† ุงู„
872
+
873
+ 260
874
+ 00:23:11,870 --> 00:23:13,730
875
+ pressure ู…ู† ู…ูŠู† ุงู„ pressure ุฅูƒุงู…ุŸ ูˆุงุญุฏ ููŠ ุงู„ู…ุฆุฉ
876
+
877
+ 261
878
+ 00:23:17,620 --> 00:23:25,160
879
+ of four mega pascal ุจุงู„ุณุงุนุฉ point O four mega
880
+
881
+ 262
882
+ 00:23:25,160 --> 00:23:29,520
883
+ pascal ุงู„
884
+
885
+ 263
886
+ 00:23:29,520 --> 00:23:34,820
887
+ point O four mega pascal ุฅูƒุงู… standard deviation ู„ูˆ
888
+
889
+ 264
890
+ 00:23:34,820 --> 00:23:36,960
891
+ ู‚ุณู…ุชู‡ุงุŒ ุงู„ standard deviation ู‡ูˆ ู‚ูŠู…ุชู‡ ุฅูƒุงู…ุŸ point O
892
+
893
+ 265
894
+ 00:23:36,960 --> 00:23:46,960
895
+ ูˆุงุญุฏ ุฃุฑุจุนุฉ ุตุญุŸ ู‚ูŠู…ุชู‡ point O ูˆุงุญุฏ ุฃุฑุจุนุฉุŒ ุจูŠุทู„ุน ุงุซู†ูŠู†
896
+
897
+ 266
898
+ 00:23:46,960 --> 00:23:53,540
899
+ ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉ ุณูŠุฌู…ุง ุฃูˆ ู‚ูŠู…ุฉ ุงู„ point offer
900
+
901
+ 267
902
+ 00:23:53,540 --> 00:23:58,400
903
+ point offer ู…ูŠุฌุง ุจุงุณูƒุงู„ ุชุนุงุฏู„ ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉ
904
+
905
+ 268
906
+ 00:23:58,400 --> 00:24:02,980
907
+ ุณูŠุฌู…ุง ุฃูˆ ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉ ู…ุถุฑูˆุจ ููŠ ุงู„ standard
908
+
909
+ 269
910
+ 00:24:02,980 --> 00:24:07,660
911
+ deviation for
912
+
913
+ 270
914
+ 00:24:07,660 --> 00:24:12,750
915
+ a Gaussian distributionุŒ the probability of a 2.86
916
+
917
+ 271
918
+ 00:24:12,750 --> 00:24:17,290
919
+ sigma function is about one chance in 240 ูƒูŠู
920
+
921
+ 272
922
+ 00:24:17,290 --> 00:24:29,930
923
+ ู‡ู†ุนุฑูุŸ ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ tables ุฅุญู†ุง
924
+
925
+ 273
926
+ 00:24:29,930 --> 00:24:35,310
927
+ ุนู†ุฏู†ุง .. ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ slide ุนู†ุฏู†ุง ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ
928
+
929
+ 274
930
+ 00:24:35,310 --> 00:24:39,450
931
+ ุณุชุฉ ุณูŠุฌู…ุง ุงู„ู„ูŠ ู‡ูŠ ุงู„ ZุŒ ุงู„ Z ุชุณุงูˆูŠ ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ
932
+
933
+ 275
934
+ 00:24:41,070 --> 00:24:47,330
935
+ ูุจูŠุฌูŠ ู„ู„ table ู‡ู†ุง ุงุซู†ูŠู†
936
+
937
+ 276
938
+ 00:24:47,330 --> 00:24:51,510
939
+ ู„ุงุญุธ ู‡ู†ุง ุณุชุฉ ูˆ ุนุดุฑุฉุŒ ุงู„ุนู…ูˆุฏ ุงู„ุฑุงุจุน ู…ู† ุงู„ูŠู…ูŠู†ุŒ ุงุซู†ูŠู†
940
+
941
+ 277
942
+ 00:24:51,510 --> 00:25:06,770
943
+ ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉุŒ ู„ูŠู‡ ู‡ุฐู‡ ุงู„ุงุซู†ูŠู†
944
+
945
+ 278
946
+ 00:25:06,770 --> 00:25:07,490
947
+ ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ
948
+
949
+ 279
950
+ 00:25:10,640 --> 00:25:28,200
951
+ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุนู„ู‰
952
+
953
+ 280
954
+ 00:25:28,200 --> 00:25:28,840
955
+ ุงู„ distribution
956
+
957
+ 281
958
+ 00:25:44,130 --> 00:25:52,230
959
+ ุงู„ู€ Z ุนู†ุฏูŠ 2.86
960
+
961
+ 282
962
+ 00:25:52,230 --> 00:25:59,910
963
+ ุณูŠุฌู…ุงุŒ ุงู„ุฌุฏูˆู„ ู‡ุฐุง ุฅูŠุด ุจูŠุนุทูŠู†ุงุŸ ุจูŠุนุทูŠู†ุง ุงู„ area ู‡ุฐู‡ุŒ ุงู„
964
+
965
+ 283
966
+ 00:25:59,910 --> 00:26:03,330
967
+ area ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
968
+
969
+ 284
970
+ 00:26:12,380 --> 00:26:20,780
971
+ ุทุจุนุง ู‡ุฐู‡ ZeroุŒ ู‡ุฐู‡ Z ู‡ู†ุงุŒ Z ุจุงู„ุซุงู„ุซุŒ Z ุจุงู„ุซุงู„ุซุŒ ุซุงู„ุซ
972
+
973
+ 285
974
+ 00:26:20,780 --> 00:26:23,780
975
+ ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉ ุณูŠุฌู…ุงุŒ ู…ุนู†ุงู‡ ุฃู† ุฃู†ุง ุจุฏูŠ ูƒู„ ุงู„
976
+
977
+ 286
978
+ 00:26:23,780 --> 00:26:29,400
979
+ total area ู‡ุฐู‡ุŒ ู…ุนู†ุงู‡
980
+
981
+ 287
982
+ 00:26:29,400 --> 00:26:32,640
983
+ ุฃู† ุงู„ total area ู‡ุชูƒูˆู† ู…ู† minus ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ
984
+
985
+ 288
986
+ 00:26:32,640 --> 00:26:37,300
987
+ ุณุชุฉ ุณูŠุฌู…ุง ู„ ุงุซู†ูŠู† ุจูˆูŠู†ุช ุซู…ุงู†ูŠุฉ ุณุชุฉ ุณูŠุฌู…ุงุŒ ู…ุนู†ุงู‡ ุงู„
988
+
989
+ 289
990
+ 00:26:37,300 --> 00:26:38,320
991
+ total area ูƒู„ู‡ุง
992
+
993
+ 290
994
+ 00:26:41,120 --> 00:26:48,700
995
+ ุงู„ู„ูŠ ู‡ูŠ probability ุฃู† ูƒู„ reading ุชุชุฑูˆุญ ุฃู† z ุจูŠู†
996
+
997
+ 291
998
+ 00:26:48,700 --> 00:26:58,340
999
+ minus 2.86 ุณูŠุฌู…ุง to 2.86 ุณูŠุฌู…ุง ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ
1000
+
1001
+ 292
1002
+ 00:26:58,340 --> 00:27:02,960
1003
+ ุจูˆูŠู†ุช 4 9 7
1004
+
1005
+ 293
1006
+ 00:27:02,960 --> 00:27:10,410
1007
+ 9 ูู‰ ุงุซู†ูŠู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงุซู†ูŠู† ูู‰ ุชุณุนุฉ ุซู…ุงู†ูŠุฉ ุนุดุฑุŒ ุงุซู†ูŠู†
1008
+
1009
+ 294
1010
+ 00:27:10,410 --> 00:27:15,810
1011
+ ูู‰ ุณุจุนุฉ ุฎู…ุณุฉ ูˆ ุซู„ุงุซูŠู†ุŒ ุงุซู†ูŠู† ูู‰ ุชุณุนุฉ ุชุณุนุฉ ุนุดุฑุŒ ุงุซู†ูŠู† ูู‰ ุฃุฑุจุนุฉ
1012
+
1013
+ 295
1014
+ 00:27:15,810 --> 00:27:23,210
1015
+ ุจุชุณุนุฉ ูŠุนู†ูŠ
1016
+
1017
+ 296
1018
+ 00:27:23,210 --> 00:27:28,590
1019
+ ู…ู† ูƒู„ ุนุดุฑุฉ ุขู„ุงู ู‚ุฑุงุกุฉ ุจูŠูƒูˆู† ุนู†ุฏูƒ ุชุณุนุฉ ุขู„ุงู ุชุณุนุฉ ู…ุงุฆุฉ
1020
+
1021
+ 297
1022
+ 00:27:28,590 --> 00:27:32,030
1023
+ ุงุซู†ูŠู† ูˆ ุฎู…ุณูŠู† ู‚ุฑุงุกุฉ within range ู…ู† ูƒู„ ุนุดุฑุฉ ุขู„ุงู
1024
+
1025
+ 298
1026
+ 00:27:32,030 --> 00:27:36,130
1027
+ ู‚ุฑุงุกุฉุŒ ุจูŠูƒูˆู† ุนู†ุฏูŠ ุชุณุนุฉ ุขู„ุงู ุชุณุนุฉ ู…ุงุฆุฉ ุซู…ุงู†ูŠุฉ ูˆ ุฎู…ุณูŠู†
1028
+
1029
+ 299
1030
+ 00:27:36,130 --> 00:27:41,830
1031
+ ู‚ุฑุงุกุฉ within rangeุŒ out of range ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูŠ
1032
+
1033
+ 300
1034
+ 00:27:41,830 --> 00:27:53,450
1035
+ ุนุดุฑุฉ ุขู„ุงู ุฃูˆ ู†ุญูƒูŠ ูˆุงุญุฏุŒ ู†ุญูƒูŠ out of range so
1036
+
1037
+ 301
1038
+ 00:27:53,450 --> 00:27:59,650
1039
+ ูˆุงุญุฏ minus point ุชุณุนุฉ ุชุณุนุฉ ุฃุฑุจุนุฉ ุซู…ุงู†ูŠุฉ ุฎู…ุณุฉ ู‡ูŠูƒูˆู†
1040
+
1041
+ 302
1042
+ 00:27:59,650 --> 00:28:02,970
1043
+ ุงู„ุณุงูˆูŠ point
1044
+
1045
+ 303
1046
+ 00:28:04,780 --> 00:28:11,800
1047
+ o o ุฃุฑุจุนุฉ
1048
+
1049
+ 304
1050
+ 00:28:11,800 --> 00:28:17,500
1051
+ ุงุซู†ูŠู† ุฃุฑุจุนุฉ ุงุซู†ูŠู† ู„ู…ุง
1052
+
1053
+ 305
1054
+ 00:28:17,500 --> 00:28:22,640
1055
+ ุฃู‚ุณู… ูˆุงุญุฏ ุนู„ู‰ point
1056
+
1057
+ 306
1058
+ 00:28:22,640 --> 00:28:28,780
1059
+ o o ุฃุฑุจุนุฉ ุงุซู†ูŠู† ุจุชุทู„ุน ุชู‚ุฑูŠุจุง ุงุซู†ูŠู† ูˆ ุซู…ุงู†ูŠุฉ ูˆ
1060
+
1061
+ 307
1062
+ 00:28:28,780 --> 00:28:34,730
1063
+ ุซู„ุงุซูŠู†ุŒ ู…ุงุฆุชูŠู† ูˆ ุฃุฑุจุนูŠู† ูŠุนู†ูŠ ู…ู† ูƒู„ ู…ุงุฆุชูŠู† ูˆ ุฃุฑุจุนูŠู† ู‚ุฑุงุกุฉ
1064
+
1065
+ 308
1066
+ 00:28:34,730 --> 00:28:39,290
1067
+ ุชู‚ุฑูŠุจุง ุจุชุทู„ุน ูˆุงุญุฏุฉ out of range ู…ู† ูƒู„ ู…ุงุฆุชูŠู† ูˆ
1068
+
1069
+ 309
1070
+ 00:28:39,290 --> 00:28:45,090
1071
+ ุฃุฑุจุนูŠู† ู‚ุฑุงุกุฉ ุจุชุทู„ุน ูˆุงุญุฏุฉ out of range ุฃูˆ ู†ู‚ุทุฉ ุถุนู
1072
+
1073
+ 310
1074
+ 00:28:45,090 --> 00:28:49,870
1075
+ ุทุจู‚ุง ู„ู„ confidence interval ุงู„ู„ูŠ ุฃู†ุง ุงุฎุชุฑุชู‡ุง
1076
+
1077
+ 311
1078
+ 00:28:49,870 --> 00:28:54,410
1079
+ ู…ุนู†ุงุชู‡ ุฃู† ุนู†ุฏูŠ ุฅุฐุง
1080
+
1081
+ 312
1082
+ 00:28:54,410 --> 00:28:57,430
1083
+ ูƒุงู† ุงู„ distribution Gaussian ุฃูˆ ู†ูˆุฑู…ุงู„ distribution
1084
+
1085
+ 313
1086
+ 00:28:57,430 --> 00:28:59,190
1087
+ ุชู‚ุฑูŠุจุง
1088
+
1089
+ 314
1090
+ 00:29:02,650 --> 00:29:06,330
1091
+ ููŠ ุนู†ุฏูŠ ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุงุฆุชูŠู† ูˆ ุงู„ุฃุฑุจุนูŠู† ู‡ุชูƒูˆู† out of
1092
+
1093
+ 315
1094
+ 00:29:06,330 --> 00:29:15,690
1095
+ rangeุŒ ุงู„ confidence ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุชุณุนุฉ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ
1096
+
1097
+ 316
1098
+ 00:29:15,690 --> 00:29:19,010
1099
+ ูˆ ุชุณุนูŠู† ุจู‚ู‰ ุฎู…ุณุฉ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ
1100
+
1101
+ 317
1102
+ 00:29:40,600 --> 00:29:50,880
1103
+ ุทูŠุจ ุงู„ู„ูŠ ุฃู†ุง ู‡ู‚ุณู…ู‡ ู„ุญุงู„ุชูŠู†ุŒ ู‡ู‚ุณู…ู‡ ู„ large samples ูˆ
1104
+
1105
+ 318
1106
+ 00:29:50,880 --> 00:29:56,140
1107
+ small samplesุŒ ุฅุฐุง ุนุฏุฏ ู‚ุฑุงุกุงุช ุงู„ sample ุฃูƒุซุฑ ู…ู†
1108
+
1109
+ 319
1110
+ 00:29:56,140 --> 00:30:00,420
1111
+ ุซู„ุงุซูŠู†ุŒ ู‡ุงุนุชุจุฑู‡ุง largeุŒ ุฃูƒุจุฑ ู…ู† ุฃูˆ ุชุณุงูˆูŠ ุซู„ุงุซูŠู†ุŒ ุฅุฐุง ุชุญุช
1112
+
1113
+ 320
1114
+ 00:30:00,420 --> 00:30:03,000
1115
+ ุงู„ุซู„ุงุซูŠู† ู‡ุงุนุชุจุฑู‡ุง small
1116
+
1117
+ 321
1118
+ 00:30:08,930 --> 00:30:14,330
1119
+ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ุŒ ูˆุฑุฌุนู†ุง ูƒูŠู ู…ู…ูƒู† ู†ู‚ูŠู… ุชุดุชุช ุงู„ุจูŠุงู†ุงุช
1120
+
1121
+ 322
1122
+ 00:30:14,330 --> 00:30:20,710
1123
+ ุจุชุงุนุฉ ุงู„ุนูŠู†ุฉ ุญูˆู„ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู„ุนูŠู†ุฉุŒ ุฅุญู†ุง
1124
+
1125
+ 323
1126
+ 00:30:20,710 --> 00:30:25,810
1127
+ ูƒุฃู†ู†ุง ุฅุชุฌุฑูŠู†ุง ูˆ ุฃุฎุฐู†ุง ู…ุฆุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุทุŒ ุจุนุฏูŠู† ุญุณุจู†ุง ุงู„
1128
+
1129
+ 324
1130
+ 00:30:25,810 --> 00:30:30,690
1131
+ main value of pressure ูˆุดูˆูู†ุง ูƒูŠู ุฅุชุดุชุช ุญูˆู„ ุงู„
1132
+
1133
+ 325
1134
+ 00:30:30,690 --> 00:30:35,010
1135
+ main value ุจุญุณุจ ุงุฎุชูŠุงุฑู†ุง ู„ู„ confidence interval
1136
+
1137
+ 326
1138
+ 00:30:38,930 --> 00:30:42,430
1139
+ it did not yield an instant for the instant it
1140
+
1141
+ 327
1142
+ 00:30:42,430 --> 00:30:44,850
1143
+ used in using x bar as an approximation to the
1144
+
1145
+ 328
1146
+ 00:30:44,850 --> 00:30:48,110
1147
+ true valueุŒ ุงู„ุขู† ู‡ู„ ุงู„ x barุŒ ุงู„ x bar ุงู„ู„ูŠ ุญุณุจู†ุงู‡
1148
+
1149
+ 329
1150
+ 00:30:48,110 --> 00:30:52,650
1151
+ ููŠ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ุชู…ุซู„ ู„ู„ true value ู„ู„ pressure
1152
+
1153
+ 330
1154
+ 00:30:52,650 --> 00:31:00,710
1155
+ ู„ูŠู‡ุŸ ู„ุฃู† ุจุจุณุงุทุฉ ุงู„ูุญุต ุฅู…ุชุฏ ุนู„ู‰ ุงุซู†ูŠ ุนุดุฑ ุณุงุนุฉ ูˆ ุงู„
1156
+
1157
+ 331
1158
+ 00:31:00,710 --> 00:31:03,290
1159
+ steam generator ุจูŠูƒูˆู† ุดุบุงู„ ุนู„ู‰ ุทูˆู„ุŒ ูˆ ุฏู„ูˆู‚ุช ุดุบุงู„
1160
+
1161
+ 332
1162
+ 00:31:03,290 --> 00:31:08,790
1163
+ ุณู†ูŠู†ุŒ ู…ุธุจูˆุทุŸ ู…ุนู†ุงุชู‡ ุฃู† population of data ุฃูƒุซุฑ ุจูƒุซูŠุฑ
1164
+
1165
+ 333
1166
+ 00:31:08,790 --> 00:31:18,610
1167
+ ู…ู† ุงู„ู…ุฆุฉุŒ ุตุญุŸ ู…ุนู†ุงุชู‡ ุฃู† ุงู„ X bar ู…ุง ุชู…ุซู„ุด ุงู„ true
1168
+
1169
+ 334
1170
+ 00:31:18,610 --> 00:31:24,290
1171
+ value 100%ุŒ ู…ู…ูƒู† ุชูƒูˆู† ู‚ุฑูŠุจุฉ ู…ู†ู‡ุง if
1172
+
1173
+ 335
1174
+ 00:31:24,290 --> 00:31:27,670
1175
+ the pressure test were repeatedุŒ ุฅุฐุง ุชู… ุฅุนุงุฏุฉ ุงู„ูุญุต
1176
+
1177
+ 336
1178
+ 00:31:27,670 --> 00:31:35,360
1179
+ ูƒู… ู…ุฑุฉ ู„ู…ุฏุฉ 12 ุณุงุนุฉ ุซุงู†ูŠุฉ ูˆ ุฃุฎุฐู†ุง ูƒู…ุงู† 100 ู‚ุฑุงุกุฉุŒ ู‡ู„
1180
+
1181
+ 337
1182
+ 00:31:35,360 --> 00:31:39,880
1183
+ ุงู„ X bar ุงู„ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ X bar ุงู„ูุญุต ุงู„ุฃูˆู„ุงู†ูŠุŸ ู„ุฃ
1184
+
1185
+ 338
1186
+ 00:31:39,880 --> 00:31:47,800
1187
+ ู‡ุชูƒ๏ฟฝ๏ฟฝู† ู‚ุฑูŠุจุฉ ุจุณ ู…ุด ู‡ุชุทู„ุน ู†ูุณู‡ุงุŒ ู„ูˆ ุนู…ู„ู†ุง ูุญุต ุซุงู„ุซ ูˆ
1188
+
1189
+ 339
1190
+ 00:31:47,800 --> 00:31:51,240
1191
+ ุฃุฎุฐู†ุง ูƒู…ุงู† ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ู‡ู„ ุงู„ X bar ุจุชุงุนุฉ ุงู„ุนูŠู†ุฉ
1192
+
1193
+ 340
1194
+ 00:31:51,240 --> 00:31:53,760
1195
+ ุงู„ุซุงู„ุซุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ุฆุฉ ู‚ุฑุงุกุฉ ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ ุงู„ุดูŠุกุŸ
1196
+
1197
+ 341
1198
+ 00:31:53,760 --> 00:31:58,200
1199
+ ู„ุฃุŒ ู„ูˆ ุฃุฎุฐู†ุง ุจุฑุถู‡ ุชุฌุฑุจุฉ ุฑุงุจุนุฉุŒ ุฎุงู…ุณุฉุŒ ุณุงุฏุณุฉุŒ ู…ู†ุงุทู‚
1200
+
1201
+ 342
1202
+ 00:31:58,200 --> 00:32:02,740
1203
+ ุฅุฐุง ุจุนู…ู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุนูŠู†ุงุชุŒ ู…ุฌู…ูˆุนุฉ ุงู„ุนูŠู†ุงุช ู„ูƒู„ ุนูŠู†ุฉ
1204
+
1205
+ 343
1206
+ 00:32:02,740 --> 00:32:09,940
1207
+ ู‡ูŠูƒูˆู† ู„ู‡ุง X barุŒ ู„ูƒู„ ุนูŠู†ุฉ ู‡ูŠูƒูˆู† ู„ู‡ุง X bar ุชุงุนุชู‡ุง ู„ุฃู†
1208
+
1209
+ 344
1210
+ 00:32:09,940 --> 00:32:14,900
1211
+ ุงู„ X bars ู†ูุณู‡ู… ู‡ุฏูˆู„ ููŠู‡ู… fluctuationุŒ ู„ูˆ ุฃุฎุฐุช ุงู„ X
1212
+
1213
+ 345
1214
+ 00:32:14,900 --> 00:32:19,580
1215
+ bars ูƒู„ู‡ู… ู‡ุฏูˆู„ ูˆ ุฃุฎุฏุช ู„ู‡ู… mean value ู‡ูŠุตูŠุฑ ู„ู‡ู…
1216
+
1217
+ 346
1218
+ 00:32:19,580 --> 00:32:23,760
1219
+ fluctuation about the mean of means ุงู„ู„ูŠ ู‡ูˆ ู…ุชูˆุณุท
1220
+
1221
+ 347
1222
+ 00:32:23,760 --> 00:32:27,420
1223
+ ุงู„ู…ุชูˆุณุทุงุชุŒ ู‡ุตูŠุฑ ู„ู‡ุง dispersionุŒ ู‡ุตูŠุฑ ู„ู‡ุง ูŠุนู†ูŠ ุชุฐุจุฐุจ
1224
+
1225
+ 348
1226
+ 00:32:27,420 --> 00:32:30,780
1227
+ ุญูˆู„ ุงู„ู‚ูŠู…ุฉ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ูˆุณุทู‰
1228
+
1229
+ 349
1230
+ 00:32:34,430 --> 00:32:39,690
1231
+ ู…ุนู†ุงุชู‡ ููŠ ุชุฐุจุฐุจ ู„ู„ samplesุŒ ู„ู„ mean of samples
1232
+
1233
+ 350
1234
+ 00:32:39,690 --> 00:32:47,270
1235
+ ุญูˆู„ ู†ู‚ุทุฉ ุฃูˆ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉุŒ if n for each sample is
1236
+
1237
+ 351
1238
+ 00:32:47,270 --> 00:32:51,650
1239
+ very largeุŒ ุงู„ุขู† ูŠุนู†ูŠ ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† ุซู„ุงุซูŠู†ุŒ ุงู„ู€
1240
+
1241
+ 352
1242
+ 00:32:51,650 --> 00:32:55,690
1243
+ distribution of the main values is GaussianุŒ ุงู„ X
1244
+
1245
+ 353
1246
+ 00:32:55,690 --> 00:32:58,890
1247
+ ุฃู†ุง ุงู„ุญูŠู† ุฃู†ุง ุนู…ู„ุช ุชุฌุฑุจุฉ ุฃูˆู„ู‰ ุฃุฎุฐุช X bar ูˆุงุญุฏ
1248
+
1249
+ 354
1250
+ 00:32:58,890 --> 00:33:02,290
1251
+ ุชุฌุฑุจุฉ ุซุงู†ูŠุฉ ุฃุฎุฐุช X bar ุงุซู†ูŠู†ุŒ ุชุฌุฑุจุฉ ุซุงู„ุซุฉ ู…ุซู„ุง ุณู…ูŠุชู‡ุง
1252
+
1253
+ 355
1254
+ 00:33:02,290 --> 00:33:06,490
1255
+ ูƒุฑุง ุซุงู„ุซุฉ ุฃุฎุฐุช X bar ุซู„ุงุซุฉ ูˆ ู‡ูƒุฐุงุŒ ุงู„ X bars ู‡ุฏูˆู„
1256
+
1257
+ 356
1258
+ 00:33:06,490 --> 00:33:10,590
1259
+ ุญุงุทุท ููŠ ุงู„ tablesุŒ ููŠู‡ู… variations ุจูŠุทู„ุนูˆุง ู…ุด ู†ูุณ
1260
+
1261
+ 357
1262
+ 00:33:10,590 --> 00:33:14,310
1263
+ ุงู„ุดูŠุกุŒ ุงู„ variation ุจุชุงุนุฉ ุงู„ X bars it follows
1264
+
1265
+ 358
1266
+ 00:33:14,310 --> 00:33:20,370
1267
+ Gaussian ุฃูˆ normal distributionุŒ ุฅุฐุง ูƒุงู†ุช ุนู†ุฏ ุงู„ู€ ุงู„ู€
1268
+
1269
+ 359
1270
+ 00:33:20,370 --> 00:33:29,430
1271
+ ุงู„ sample is largeุŒ ุงู„ standard deviation ู„ู„ sample
1272
+
1273
+ 360
1274
+ 00:33:29,430 --> 00:33:34,350
1275
+ meansุŒ ู…ุชูˆุณุท ุงู„ sample is sigma X barุŒ ู†ูุณ ุงู„ X bar
1276
+
1277
+ 361
1278
+ 00:33:34,350 --> 00:33:37,920
1279
+ ููŠู‡ ุงู„ standard deviationุŒ ู…ุชูˆู‚ุน ุงู„ standard
1280
+
1281
+ 362
1282
+ 00:33:37,920 --> 00:33:44,800
1283
+ deviation ู„ู„ X bar ุชูƒูˆู† ุฃูƒุจุฑ ูˆู„ุง ุฃู‚ู„ ู…ู† ุงู„
1284
+
1285
+ 363
1286
+ 00:33:44,800 --> 00:33:49,660
1287
+ standard deviation ู„ุชุฌุฑุจุฉ ูˆุงุญุฏุฉุŸ ุฃู‚ู„ุŒ ู‡ูŠูƒูˆู† ุชู†ุญุตุฑ
1288
+
1289
+ 364
1290
+ 00:33:49,660 --> 00:33:53,060
1291
+ ุฃูƒุซุฑุŒ ูŠุนู†ูŠ ู…ุซู„ุง ุฃู†ุง ุงู„ู„ูŠ ุฃุฎุฐุช ุฃุนู…ู„ ุชุฌุฑุจุฉ ู…ุฆุฉ ู‚ุฑุงุกุฉ
1292
+
1293
+ 365
1294
+ 00:33:53,060 --> 00:34:01,820
1295
+ ู‡ูŠุทู„ุน distribution ู…ุซู„ุง ุดูŠุก ุฒูŠ ู‡ูŠูƒุŒ ู„ูˆ
1296
+
1297
+ 366
1298
+ 00:34:01,820 --> 00:34:07,650
1299
+ ุนู…ู„ุช ุชุฌุฑุจุฉ ูˆุงุญุฏุฉุŒ experiment ูˆุงุญุฏุŒ Experiment 2ุŒ
1300
+
1301
+ 367
1302
+ 00:34:08,230 --> 00:34:15,570
1303
+ Experiment 3 ู„ุญุฏ Experiment K ู…ุซู„ุงุŒ ูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง
1304
+
1305
+ 368
1306
+ 00:34:15,570 --> 00:34:20,490
1307
+ ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ู…ุฆุฉ readingsุŒ ู…ุฆุฉ readingsุŒ ู…ุฆุฉ
1308
+
1309
+ 369
1310
+ 00:34:20,490 --> 00:34:28,630
1311
+ readingsุŒ ู‡ุฃุญุตู„ ุนู„ู‰ ุนุฏุฉ X bar ูˆุงุญุฏุŒ ูˆู‡ู†ุง ู‡ุฃุญุตู„ X bar
1312
+
1313
+ 370
1314
+ 00:34:28,630 --> 00:34:36,650
1315
+ ุงุซู†ูŠู† ูˆ X bar ุซู„ุงุซุฉ ูˆ X bar KุŒ ู‡ุฏูˆู„ ุงู„ X bars
1316
+
1317
+ 371
1318
+ 00:34:36,650 --> 00:34:42,610
1319
+ ู‡ูŠูƒูˆู† ู„ู‡ู… distributionุŒ distribution ุจุชุงุนู‡ู… ู‡ูŠุทู„ุน ุจุฑุถู‡ ู„ูˆ
1320
+
1321
+ 372
1322
+ 00:34:42,610 --> 00:34:49,470
1323
+ ุฃุฑุจุนุฉ ุงู„ุจุงุณุŒ ู‡ูŠุทู„ุน ุฅูŠุดุŸ ู†ุฌุฑุจ ุฅู†ู†ุง
1324
+
1325
+ 373
1326
+ 00:34:49,470 --> 00:34:51,150
1327
+ ู†ู‚ุทุน ุจุนุถ ุฃูƒุซุฑ
1328
+
1329
+ 374
1330
+ 00:34:54,640 --> 00:34:57,780
1331
+ ููˆุงุถุญ ุฅู† standard deviation ู…ุฎุชู„ูุฉุŒ standard deviation ู„ู„
1332
+
1333
+ 375
1334
+ 00:34:57,780 --> 00:35:03,680
1335
+ data ู„ูƒู„ ู„ูƒู„ set of experimentsุŒ ู…ุนู†ุงุชู‡ ุจูŠูƒูˆู† ุงู„
1336
+
1337
+ 376
1338
+ 00:35:03,680 --> 00:35:10,760
1339
+ sigma x bar ู„ู„ x bar ุจุชุณุงูˆูŠ
1340
+
1341
+ 377
1342
+ 00:35:10,760 --> 00:35:18,580
1343
+ sigma ุนู„ู‰ ุฌุฐุฑ nุŒ ู‡ุฐุง sigma ุฅูŠุดุŸ sigma ุจุชุงุนุฉ ุงู„ data
1344
+
1345
+ 378
1346
+ 00:35:18,580 --> 00:35:24,150
1347
+ for one set of experimentุŒ ู‡ุฐุง ุงู„ sigmaุŒ ูˆ sigma x ู‡ูŠ
1348
+
1349
+ 379
1350
+ 00:35:24,150 --> 00:35:29,510
1351
+ standard deviation ุจุชุงุนุฉ ุงู„ X barุŒ ุจุชู‚ุณู… ุนู„ู‰ ุฌุฒุก
1352
+
1353
+ 380
1354
+ 00:35:29,510 --> 00:35:32,770
1355
+ ุฃู…ุงู†ุฉ ูˆุงุถุญ ุฃู†ู‡ุง ู„ูŠู‡ุง ุฃุตู„ุŒ ุฃุตุบุฑ ุจูŠูƒูˆู† ุนู†ุฏูŠ distribution
1356
+
1357
+ 381
1358
+ 00:35:32,770 --> 00:35:42,370
1359
+ ู…ุถุบูˆุทุŒ since
1360
+
1361
+ 382
1362
+ 00:35:42,370 --> 00:35:46,570
1363
+ X bar is Gaussian distributedุŒ with distribution
1364
+
1365
+ 383
1366
+ 00:35:46,570 --> 00:35:50,650
1367
+ with standard deviation sigma x barุŒ ู…ู…ูƒู† ุฃุณุชุฎุฏู…
1368
+
1369
+ 384
1370
+ 00:35:50,650 --> 00:35:54,690
1371
+ ู†ูุณ ุงู„ tableุŒ ุงู„ table ุงุซู†ูŠู† z ุจุชุณุงูˆูŠ x bar minus mu
1372
+
1373
+ 385
1374
+ 00:35:54,690 --> 00:35:58,910
1375
+ ุนู„ู‰ sigma x barุŒ ูˆ ุฒูŠ ุฃูˆ ุนูˆุงุท ุนู† sigma x barุŒ sigma
1376
+
1377
+ 386
1378
+ 00:35:58,910 --> 00:36:03,950
1379
+ ุนู„ู‰ ุฌุฐุฑ ุงู„ nุŒ ู…ู…ูƒู†
1380
+
1381
+ 387
1382
+ 00:36:03,950 --> 00:36:07,950
1383
+ ุฃุณุชุฎุฏู… ุฌุฏูˆู„ ุนุดุงู† ุฃุญุณุจ probabilities of occurrence
1384
+
1385
+ 388
1386
+ 00:36:07,950 --> 00:36:14,300
1387
+ ู„ some events with c confidence intervalุŒ ู„ู„ู€ true
1388
+
1389
+ 389
1390
+ 00:36:14,300 --> 00:36:18,180
1391
+ mean valueุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุชูƒูˆู† within the range
1392
+
1393
+ 390
1394
+ 00:36:18,180 --> 00:36:28,360
1395
+ ุจูŠู† X bar minus Z ุงู„ confidence interval ุนู„ู‰ 2 ููŠ
1396
+
1397
+ 391
1398
+ 00:36:28,360 --> 00:36:32,920
1399
+ sigma ุนู„ู‰ ุฌุฐุฑ N ูˆ ุจูŠู† X bar ูˆ ZC ุนู„ู‰ 2 ููŠ sigma
1400
+
1401
+ 392
1402
+ 00:36:32,920 --> 00:36:37,460
1403
+ ุนู„ู‰ ุฌุฐุฑ NุŒ ู‡ุชูƒูˆู† ู‡ูŠ ุงู„ู€ mu value ุจูŠู† ู‡ุฏูˆู„ ุงู„ุงุซู†ูŠู†
1404
+
1405
+ 393
1406
+ 00:36:37,460 --> 00:36:42,160
1407
+ ู‡ุฏูŠ ุงู„ู‚ูŠู…ุฉ lower bound ูˆ ู‡ุฏูŠ ุงู„ upper bound
1408
+
1409
+ 394
1410
+ 00:36:48,360 --> 00:36:52,160
1411
+ ุทูŠุจ for large samples ุฅุญู†ุง ุจู†ุญูƒูŠ ุงู„ sigma ุฏู‡
1412
+
1413
+ 395
1414
+ 00:36:52,160 --> 00:36:56,460
1415
+ ุจู†ุณุชุฎุฏู…ู‡ ู„ู„ populationุŒ for large samples ู…ู…ูƒู†
1416
+
1417
+ 396
1418
+ 00:36:56,460 --> 00:37:04,690
1419
+ ุฃุนุชุจุฑ ุฃู† ุงู„ Sx ู‡ูŠ ู†ูุณู‡ุง ุชู‚ุฑูŠุจุง ุงู„ sigmaุŒ ู„ู…ุง ู†ุญุณุจ ุทุจุนุง
1420
+
1421
+ 397
1422
+ 00:37:04,690 --> 00:37:09,510
1423
+ ุงู„ X barุŒ ุงู„ู…ุนู†ู‰ ุชูˆุตูŠ ุงู„ confidence interval ุงู„ ู…ูŠูˆ
1424
+
1425
+ 398
1426
+ 00:37:09,510 --> 00:37:14,430
1427
+ ุงู„ู„ูŠ ุชุชุฑุงูˆุญ ุจูŠู† X bar ู†ุงู‚ุต ZC ุนู„ู‰ ุงุซู†ูŠู† SX ุนู„ู‰ ุฌุฐุฑ N
1428
+
1429
+ 399
1430
+ 00:37:14,430 --> 00:37:23,770
1431
+ ูˆ ุจูŠู† X bar ุฒุงุฆุฏ ZC ุนู„ู‰ ุงุซู†ูŠู† SX ุนู„ู‰ ุฌุฐุฑ NุŒ ุทุจุนุง ุงู„ SX
1432
+
1433
+ 400
1434
+ 00:37:23,770 --> 00:37:27,350
1435
+ barุŒ ุงู„ standard deviation ู„ู„ main values ู…ูู‚ุงุจู„
1436
+
1437
+ 401
1438
+ 00:37:27,350 --> 00:37:31,890
1439
+ ู„ู„ุฃุฎุฑู‰ ุฏูŠุŒ SX ุนู„ู‰ ุฌุฐุฑ ุชุฑุจูŠุนูŠ ู„ NุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุญูƒูŠ ู‡ุฐู‡
1440
+
1441
+ 402
1442
+ 00:37:33,770 --> 00:37:47,350
1443
+ ู…ุถุฑูˆุจุฉุŒ ู‡ุฐุง ุงุนุชุจุงุฑู‡ุง Sx barุŒ ูˆู‡ุฐุง Sx barุŒ ุทูŠุจ ู†ุดูˆู
1444
+
1445
+ 403
1446
+ 00:37:47,350 --> 00:37:47,770
1447
+ ู…ุซุงู„
1448
+
1449
+ 404
1450
+ 00:38:04,150 --> 00:38:12,430
1451
+ Determine a 99% confidence interval for the mean
1452
+
1453
+ 405
1454
+ 00:38:12,
1455
+
1456
+ 445
1457
+ 00:42:24,540 --> 00:42:28,700
1458
+ ุญุณุจ ู‡ุฐู‡ ุงุชู†ูŠู† ู…ุงุฆุฉ ุฎู…ุณ ุจู‚ู‰ ุฎู…ุณุฉ point O ูˆุงุญุฏ
1459
+
1460
+ 446
1461
+ 00:42:28,700 --> 00:42:35,180
1462
+ ุฃุฑุจุนุฉ ุนู„ู‰ ุฌุฒุฑ ุงู„ู…ูŠุฉ ุชุทู„ุน point OO ุชู„ุงุชุฉ ุณุชุฉ ู‡ุชู…ุซู„
1463
+
1464
+ 447
1465
+ 00:42:35,180 --> 00:42:40,640
1466
+ ninety nine percent confidence interval ู…ุนู†ุงุชู‡
1467
+
1468
+ 448
1469
+ 00:42:43,290 --> 00:42:51,190
1470
+ ุงู„ pressure ู‡ูŠ ุชุฑูˆุญ ุจูŠู† ุงู„
1471
+
1472
+ 449
1473
+ 00:42:51,190 --> 00:42:55,190
1474
+ pressure ุงู„
1475
+
1476
+ 450
1477
+ 00:42:55,190 --> 00:43:02,050
1478
+ main pressure ู‡ูŠูƒูˆู† ุงูƒุจุฑ ู…ู† ุฃุฑุจุนุฉ point o o ุชู…ุงู†ูŠุฉ
1479
+
1480
+ 451
1481
+ 00:43:02,050 --> 00:43:09,190
1482
+ ู†ุงู‚ุต ู‡ุฐุง ุงู„ุฑู‚ู… ุงุณู…ู‡ ุฃุฑุจุนุฉ
1483
+
1484
+ 452
1485
+ 00:43:09,190 --> 00:43:16,290
1486
+ point o o ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต point o o ุชู„ุงุชุฉ ุณุชุฉ ุฃุฑุจุนุฉ
1487
+
1488
+ 453
1489
+ 00:43:16,290 --> 00:43:27,790
1490
+ ุฃุฑุจุนุฉ
1491
+
1492
+ 454
1493
+ 00:43:27,790 --> 00:43:30,970
1494
+ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
1495
+
1496
+ 455
1497
+ 00:43:30,970 --> 00:43:37,330
1498
+ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
1499
+
1500
+ 456
1501
+ 00:43:37,330 --> 00:43:39,470
1502
+ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
1503
+
1504
+ 457
1505
+ 00:43:45,710 --> 00:43:51,730
1506
+ 99% confidence ูŠุนู†ูŠ
1507
+
1508
+ 458
1509
+ 00:43:51,730 --> 00:43:59,370
1510
+ ุงุญุชู…ุงู„ูŠุฉ 99% ุฃู† ุงู„ mean pressure ูŠูƒูˆู† ุฌุงูŠ ููŠ ุงู„
1511
+
1512
+ 459
1513
+ 00:43:59,370 --> 00:44:07,650
1514
+ range ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู‡ุฐู‡ ู…ุนู†ุงู‡ 99% ุŒ 1% ุฃู† ูŠูƒูˆู† ุจุฑุง
1515
+
1516
+ 460
1517
+ 00:44:07,650 --> 00:44:13,670
1518
+ ุงู„ range ูŠูƒูˆู† ุงู‚ู„ ู…ู† ู‡ุฐู‡ ุฃูˆ ุงุนู„ู‰ ู…ู† ู‡ุฐู‡ ู‡ุฐุง ุงู„ูˆุงุญุฏ
1519
+
1520
+ 461
1521
+ 00:44:13,670 --> 00:44:18,030
1522
+ ููŠ ุงู„ู…ูŠุฉ ุงู„ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุจูŠุณู…ูˆู‡ุง ุนุดุงู† level of
1523
+
1524
+ 462
1525
+ 00:44:18,030 --> 00:44:25,570
1526
+ significance level of significance ูŠุนู†ูŠ ุงู„ูƒูˆู†
1527
+
1528
+ 463
1529
+ 00:44:25,570 --> 00:44:28,310
1530
+ level of significance ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุนู† ุงู„ .. ุงู„ .. ุงู„
1531
+
1532
+ 464
1533
+ 00:44:28,310 --> 00:44:31,870
1534
+ out .. ุงู„ outlet range ูŠุนู†ูŠ ุชูƒูˆู† ุงู„ุฃุดูŠุงุก ุงู„ู‚ูŠู…ุฉ
1535
+
1536
+ 465
1537
+ 00:44:31,870 --> 00:44:36,610
1538
+ ุงู„ู‚ุฑุงุกุฉ ุจุฑุง ุงู„ range ุงู„ level of significance ุฒุงุฏ
1539
+
1540
+ 466
1541
+ 00:44:36,610 --> 00:44:40,710
1542
+ ุงู„ level of confidence ุฃุดูˆู‰ ุงู„ุณุงูˆูŠุฉ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
1543
+
1544
+ 467
1545
+ 00:44:49,750 --> 00:44:55,230
1546
+ ู‡ู„ ู‡ูˆ ู…ูˆุถูˆุน ุซุงู†ูŠ ู…ูˆุถูˆุน ุซุงู†ูŠ ุฃู† ุงู†ุช ุชุญูƒูŠ ู…ุซู„ุง point
1547
+
1548
+ 468
1549
+ 00:44:55,230 --> 00:45:01,970
1550
+ o ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุงู‡ ูƒู… ุชุทู„ุน point o for ู…ูŠุฌุง ูŠุนู†ูŠ ูƒู…
1551
+
1552
+ 469
1553
+ 00:45:01,970 --> 00:45:10,070
1554
+ bar point ุฃุฑุจุนุฉ bar ุงู„ bar ูƒู… ู…ุชุฑ ุงุฑุชูุงุน ุงู„ู…ูŠู‡
1555
+
1556
+ 470
1557
+ 00:45:10,070 --> 00:45:15,950
1558
+ ุจูŠุฌูŠุจ ุนุดุฑุฉ ู…ุชุฑ ุงู„ bar ุนุดุฑุฉ ู…ุชุฑ point ุฃุฑุจุนุฉ ู…ุนู†ุงุชู‡
1559
+
1560
+ 471
1561
+ 00:45:15,950 --> 00:45:21,300
1562
+ ุงุฑุชูุงุน ุนู…ูˆุฏ ู…ูŠู‡ ุฃุฑุจุนุฉ ู…ุชุฑ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ู…ุด ุตุบูŠุฑุฉ
1563
+
1564
+ 472
1565
+ 00:45:21,300 --> 00:45:33,600
1566
+ ุงู„ุงุฑุจุนู‡ ูˆ ุงู† ุนุดุฑุฉ bar ูŠุนู†ูŠ reasonable ุทูŠุจ
1567
+
1568
+ 473
1569
+ 00:45:33,600 --> 00:45:38,900
1570
+ ุงู„ู…ุญุงุถุฑุฉ
1571
+
1572
+ 474
1573
+ 00:45:38,900 --> 00:45:42,680
1574
+ ุฌุงุก ุจุงู„ Campbell ุจู†ุฏุฑุณ ุญุงู„ุฉ ุงู„ confidence
1575
+
1576
+ 475
1577
+ 00:45:42,680 --> 00:45:48,150
1578
+ intervals for small samples ูŠุนู†ูŠ ุงู„ุงู† ุจูŠูƒูˆู† ุงู‚ู„ ู…ู†
1579
+
1580
+ 476
1581
+ 00:45:48,150 --> 00:45:49,030
1582
+ ุซู„ุงุซูŠู†
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/CtW3gdVs1C0_postprocess.srt ADDED
@@ -0,0 +1,1904 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,580 --> 00:00:08,580
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,580 --> 00:00:13,540
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ ู…ุญุงุถุฑุงุชู†ุง ููŠ chapter ุชู„ุงุชุฉ
8
+
9
+ 3
10
+ 00:00:13,540 --> 00:00:16,860
11
+ ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช assessing and
12
+
13
+ 4
14
+ 00:00:16,860 --> 00:00:22,040
15
+ presenting experimental data ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุชุฉ
16
+
17
+ 5
18
+ 00:00:22,040 --> 00:00:27,060
19
+ ุชุญุฏุซู†ุง ุนู† ุงุณุชุฎุฏุงู… ุงู„ normal distributionููŠ ุญุณุงุจุงุช
20
+
21
+ 6
22
+ 00:00:27,060 --> 00:00:32,160
23
+ ุงู„ .. ุงูˆ ุงู„ .. ุงู„ error ุนุฑูู†ุง ุงู„ error ู‡ูˆ ุงู„ูุฑู‚
24
+
25
+ 7
26
+ 00:00:32,160 --> 00:00:39,160
27
+ ุจูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ููŠ ูƒุซูŠุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:39,160 --> 00:00:46,280
31
+ ุงู„ุฃุญูŠุงู† ุงู„ุชุฐุจุฐุจ ุงู„ูƒุฑุงุกุงุช ุญูˆู„ ุงู„ู†ู‚ุทุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุจุฃุฎุฏ
32
+
33
+ 9
34
+ 00:00:46,280 --> 00:00:52,680
35
+ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ูˆ Gaussian distribution ุงู„
36
+
37
+ 10
38
+ 00:00:52,680 --> 00:00:53,920
39
+ Gaussian distribution
40
+
41
+ 11
42
+ 00:00:59,840 --> 00:01:03,240
43
+ ุจูุนุทู‰ ุจุงู„ุนู„ุงู‚ุฉ f of x ู‡ูˆ ูˆุงุญุฏ ุนู„ู‰ ุณูŠุฌู…ุง ุฌุฒุก ุชุฑุจูŠู‡
44
+
45
+ 12
46
+ 00:01:03,240 --> 00:01:07,500
47
+ ู„ุงุชู†ูŠู† by exponential minus x minus mu ุนู„ู‰ ุงุชู†ูŠู†
48
+
49
+ 13
50
+ 00:01:07,500 --> 00:01:13,520
51
+ ุณูŠุฌู…ุง ุชุฑุจูŠุน ุงู„ x ู‡ูŠ ุงู„ู‚ุฑุงุกุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ุงู„ mu
52
+
53
+ 14
54
+ 00:01:13,520 --> 00:01:17,740
55
+ ู‡ูŠ ุงู„ main value ู„ูƒู„ ุงู„ population ูˆ ุงู„ sigma ู‡ูŠ
56
+
57
+ 15
58
+ 00:01:17,740 --> 00:01:22,990
59
+ ุงู„ standard deviation ู„ู„ populationุงู„ main value
60
+
61
+ 16
62
+ 00:01:22,990 --> 00:01:27,730
63
+ ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ู‰ ูŠุชู… ู‚ูŠุงุณู‡ุง ู…ุน ุงู„ุทุงุจ ู„ู„ุนู‚ู„ ุงู„ู„ู‰ ุงู†ุชูˆุง
64
+
65
+ 17
66
+ 00:01:27,730 --> 00:01:33,510
67
+ ุดุงูŠููŠู†ู‡ุง ุงู„ู„ู‰ ู‡ู‰ ู…ุฌู…ูˆุน ูƒู„ ุงู„ู‚ูŠุงู… ุนู„ู‰ ุนุฏุฏู‡ุง ุงุนุฑูู†ุง
68
+
69
+ 18
70
+ 00:01:33,510 --> 00:01:37,650
71
+ ุงู„ deviation ุงู„ุงู†ุญุฑุงู ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ .. ุงู„ .. ุงู„ ..
72
+
73
+ 19
74
+ 00:01:37,650 --> 00:01:41,430
75
+ ุงู„ .. ุงูˆ ุงู„ main value ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงูŠ ู‚ุฑุงุกุฉ ูˆ ุงู„
76
+
77
+ 20
78
+ 00:01:41,430 --> 00:01:48,550
79
+ main value ุทุจุนุง
80
+
81
+ 21
82
+ 00:01:48,550 --> 00:01:53,300
83
+ ููŠู† ุฏูŠ ุงู„ุญูƒูŠ ุงู†ุง ููŠู† populationูˆููŠ ุงู†ุฏู‚ุงุด sample
84
+
85
+ 22
86
+ 00:01:53,300 --> 00:01:59,140
87
+ ูˆุนุฑูู†ุง ุงู„ูุฑู‚ ุจูŠู† ุงู„ population ูˆ ุจูŠู† ุงู„ sample ููŠ
88
+
89
+ 23
90
+ 00:01:59,140 --> 00:02:04,740
91
+ ุญุงู„ุฉ ุงู„ population ุจู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ sigma ู„ู„ standard
92
+
93
+ 24
94
+ 00:02:04,740 --> 00:02:07,160
95
+ deviation
96
+
97
+ 25
98
+ 00:02:08,640 --> 00:02:11,300
99
+ ุงูˆ ู‡ู†ุง ุงุญู†ุง ู†ุญูƒูŠ ุนู†ู‡ุง ุงู„ู„ูŠ ู‡ูˆ summary of
100
+
101
+ 26
102
+ 00:02:11,300 --> 00:02:13,340
103
+ probability estimates ููŠู‡ุง ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู† plus or
104
+
105
+ 27
106
+ 00:02:13,340 --> 00:02:17,580
107
+ minus sigma plus or minus 1.96 sigma ุงูˆ plus or
108
+
109
+ 28
110
+ 00:02:17,580 --> 00:02:22,180
111
+ minus 3 sigma ุงู„ confidence ููŠ ุญุงู„ุฉ plus or minus
112
+
113
+ 29
114
+ 00:02:22,180 --> 00:02:25,560
115
+ sigma ูŠูƒูˆู† 68.3
116
+
117
+ 30
118
+ 00:02:26,610 --> 00:02:31,750
119
+ ุงู„ู„ูŠ ููŠ ุญุงู„ุฉ ุงู„ 1.96 ุณูŠุฌู…ุง ุจูŠูƒูˆู† 65% ุงู„ confidence
120
+
121
+ 31
122
+ 00:02:31,750 --> 00:02:37,150
123
+ interval ุงู„ plus or minus 3 ุณูŠุฌู…ุง ุงู„ confidence 99
124
+
125
+ 32
126
+ 00:02:37,150 --> 00:02:43,590
127
+ .6 confidence ูŠุนู†ูŠ ุงู†ู‡ ุจุชูƒูˆู† ุงู„ุจูŠุงู†ุงุช ูˆุงู‚ุน ููŠ ุงู„
128
+
129
+ 33
130
+ 00:02:43,590 --> 00:02:49,050
131
+ range ู‡ุฐุง ุจู†ุณุจุฉ ู…ุซู„ุง 65% ุจู†ุณุจุฉ 99% ู‡ุฐุง ุงู„
132
+
133
+ 34
134
+ 00:02:49,050 --> 00:02:49,370
135
+ confidence
136
+
137
+ 35
138
+ 00:02:53,490 --> 00:02:56,350
139
+ ุงู„ standard deviation ููŠ ุญุงู„ุฉ ุงู„ population ู‡ูˆ ุฌุฒุฑ
140
+
141
+ 36
142
+ 00:02:56,350 --> 00:03:01,130
143
+ ุงู„ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ุงู„ู…ุฌู…ูˆุน ุงู„ deviations ุชุฑุจูŠุน ุนู„ู‰ ุงู„
144
+
145
+ 37
146
+ 00:03:01,130 --> 00:03:03,490
147
+ .. ุนู„ู‰ ุงู„ n ุงู„ู„ูŠ ู‡ูŠ number of readings
148
+
149
+ 38
150
+ 00:03:06,450 --> 00:03:11,010
151
+ ุทุจุนุง ุงุญู†ุง ุนุดุงู† ู†ุฎู„ูŠ ุงู„ property distribution
152
+
153
+ 39
154
+ 00:03:11,010 --> 00:03:18,130
155
+ ุงู„ุฌูˆุณู† ูŠูƒูˆู† ู…ุชู…ุงุซู„ ุญูˆุงู„ูŠู† ุงู„ y axis ุงุณุชุฎุฏู…ู†ุง ุงู„
156
+
157
+ 40
158
+ 00:03:18,130 --> 00:03:21,990
159
+ variable z ูˆุนุฑูู†ุง ุงู„ z ุจุงู„ุณุชูˆุงุก x minus mu ุนู„ู‰
160
+
161
+ 41
162
+ 00:03:21,990 --> 00:03:25,310
163
+ ุณุฌู…ุง ุจูŠุตูŠุฑ ุงู„ property density function ู…ุนุฑู
164
+
165
+ 42
166
+ 00:03:25,310 --> 00:03:27,910
167
+ ุจุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ f of z ูˆุงุญุฏ ุนู„ู‰ ุณุฌู…ุง ูŠุฌูŠ ุฒุฑุจูŠู‡
168
+
169
+ 43
170
+ 00:03:27,910 --> 00:03:31,170
171
+ ุนู„ู‰ ุงุชู†ูŠู† by exponential of minus z ุชุฑุจูŠู‡ ุนู„ู‰
172
+
173
+ 44
174
+ 00:03:31,170 --> 00:03:31,930
175
+ ุงุชู†ูŠู†
176
+
177
+ 45
178
+ 00:03:40,130 --> 00:03:44,410
179
+ ุจุงูŠู† ุนู†ุฏู‰ ุจุงู„ุดูƒู„ ู‡ุฐุง ู…ูˆุฑุฌูŠู† ุงู„ different
180
+
181
+ 46
182
+ 00:03:44,410 --> 00:03:49,330
183
+ confidence intervals ู…ู…ูƒู† ูŠูƒูˆู† ุฏู‰ ุงู„ confidence
184
+
185
+ 47
186
+ 00:03:49,330 --> 00:03:52,590
187
+ ูŠูƒูˆู† ุฏู‰ ุงุฎุฏ plus or minus sigma ุงูˆ plus or minus
188
+
189
+ 48
190
+ 00:03:52,590 --> 00:03:57,110
191
+ two sigma ุงูˆ plus or minus ุชู„ุงุชุฉ sigma
192
+
193
+ 49
194
+ 00:04:00,550 --> 00:04:09,150
195
+ ู‡ูƒุฐุง ู†ุณุชุฎุฏู… table ุงุชู†ูŠู† ุนุดุงู† ู†ุฌุฏ for a given z
196
+
197
+ 50
198
+ 00:04:09,150 --> 00:04:13,470
199
+ value ู†ุฌุฏ ุงู„ area ุชุญุช ุงู„ property density function
200
+
201
+ 51
202
+ 00:04:13,470 --> 00:04:18,030
203
+ ุญุง๏ฟฝ๏ฟฝูŠู†
204
+
205
+ 52
206
+ 00:04:18,030 --> 00:04:20,870
207
+ example ุงุชู†ูŠู† ุนุดุงู† ู†ุดูˆู ูƒูŠู ุงุณุชุฎุฏุงู… ุงู„ุฌุฏุงูˆู„
208
+
209
+ 53
210
+ 00:04:20,870 --> 00:04:28,470
211
+ example ุชู„ุงุชุฉ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง
212
+
213
+ 54
214
+ 00:04:31,100 --> 00:04:34,780
215
+ ุงู„ุงู† so far ุงุญู†ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ theory of statistics
216
+
217
+ 55
218
+ 00:04:34,780 --> 00:04:38,720
219
+ based on population ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ theory of
220
+
221
+ 56
222
+ 00:04:38,720 --> 00:04:44,260
223
+ statistics based on the sample ุงู„ู‡ุฏู ู…ู† ุงุณุชุฎุฏุงู… ุงู„
224
+
225
+ 57
226
+ 00:04:44,260 --> 00:04:49,480
227
+ sample ุงู† ุงู†ุง ุนู…ู„ูŠุง ุจูƒูˆู†ุด ู‚ุงุฏุฑ ุงู†ู‡ ุงุบุทูŠ ูƒู„
228
+
229
+ 58
230
+ 00:04:49,480 --> 00:04:52,200
231
+ population ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ุซู„ุง ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ ูู„ุณุทูŠู†
232
+
233
+ 59
234
+ 00:04:52,200 --> 00:04:57,720
235
+ ุงุนุฏุงุฏู‡ู… ู…ุซู„ุง ู…ุฆุงุช ุงู„ุฃู„ูˆู ุตุนุจ ุงุบุทูŠ ูƒู„ population ูˆ
236
+
237
+ 60
238
+ 00:04:57,720 --> 00:05:04,040
239
+ ุจุงู„ุชุงู„ูŠ ุจุถุทุฑ ุงุฎุฏุงู„ุงู† ุงู„ู‡ุฏู ู‡ุณุชุฎุฏู… ุงู„ average
240
+
241
+ 61
242
+ 00:05:04,040 --> 00:05:08,300
243
+ values from the sample to estimate mean or
244
+
245
+ 62
246
+ 00:05:08,300 --> 00:05:10,820
247
+ standard deviation of the population ูŠุนู†ูŠ ู‡ุณุชุฎุฏู…
248
+
249
+ 63
250
+ 00:05:10,820 --> 00:05:15,340
251
+ ุงู„ sample ุนุดุงู† ุฃุทู„ุน ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุญุตุงุฆูŠุฉ ุงู„ู„ูŠ ุจุชู…ุซู„
252
+
253
+ 64
254
+ 00:05:15,340 --> 00:05:22,960
255
+ ุฅู„ู‰ ุญุฏ ู…ุง ุงู„ population ุจุดูƒู„ ุนุงู… ููŠ ุญุงู„ุฉ ุงู„ sample
256
+
257
+ 65
258
+ 00:05:22,960 --> 00:05:27,780
259
+ ุงู„ sample ู…ู…ูƒู† ุชู„ุชูŠู† ู‚ุฑุงุกุฉ ุฎู…ุณูŠู† ู‚ุฑุงุกุฉ ุฃู„ู ู‚ุฑุงุกุฉุงู„
260
+
261
+ 66
262
+ 00:05:27,780 --> 00:05:31,280
263
+ .. ุงู„ .. ุงู„ main value ู„ูƒู„ ู‚ุฑุงุกุฉ ุจุงู„ุณุงูˆูŠุฉ ู…ุฌู…ูˆุนุฉ
264
+
265
+ 67
266
+ 00:05:31,280 --> 00:05:36,240
267
+ ุนู„ู‰ ุฅูŠุดุŸ ุนู„ู‰ ุนุฏุฏู‡ุง ู‡ูŠ ู‡ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฒุงุฏ
268
+
269
+ 68
270
+ 00:05:36,240 --> 00:05:39,720
271
+ ุงู„ู‚ุฑุงุกุฉ ุงุชู†ูŠู† ุฒุงุฏ ุงู„ู‚ุฑุงุกุฉ ุชู„ุงุชุฉ ู„ุญุฏ ุงู„ู‚ุฑุงุกุฉ N ุนู„ู‰
272
+
273
+ 69
274
+ 00:05:39,720 --> 00:05:45,240
275
+ N ุงู„ standard deviation ููŠ ุงู„ุญุงู„ุฉ ุงู„ simple ู†ูุณ
276
+
277
+ 70
278
+ 00:05:45,240 --> 00:05:50,840
279
+ ุงู„ู…ุนุงุฏู„ุฉ ู…ุฌู…ูˆุนุฉ ุงู„ deviations ุชุฑุจูŠุน ุนู„ู‰ N minus
280
+
281
+ 71
282
+ 00:05:50,840 --> 00:05:54,820
283
+ one ุนู„ู‰ N minus one ูƒู„ู‡ ุชุญุช ุงู„ุฌุฏุฑุฉ
284
+
285
+ 72
286
+ 00:05:59,250 --> 00:06:02,570
287
+ ู„ูˆ ุนู…ู„ู†ุง ููŠ ุงู„ .. ููŠ ุงู„ .. ููŠ ุงู„ symbols ุงู„ู…ุณุชุฎุฏู…
288
+
289
+ 73
290
+ 00:06:02,570 --> 00:06:07,290
291
+ ููŠ .. ููŠ ุญุงู„ุฉ ุงู„ population ูˆ ููŠ ุญุงู„ุฉ ุงู„ .. ุงู„
292
+
293
+ 74
294
+ 00:06:07,290 --> 00:06:10,710
295
+ sample ููŠ ุญุงู„ุฉ population ุงู„ mean value ุจู†ุณุชุฎุฏู…ู‡
296
+
297
+ 75
298
+ 00:06:10,710 --> 00:06:18,210
299
+ ู…ูŠูˆ ุงูˆ ู…ูŠูˆ ุงูƒุณ ููŠ ุญุงู„ุฉุงู„ sample ู†ุณุชุฎุฏู… x bar ุงู„
300
+
301
+ 76
302
+ 00:06:18,210 --> 00:06:21,250
303
+ standard deviation ููŠ ุญุงู„ุฉ ุงู„ population ู†ุณุชุฎุฏู…
304
+
305
+ 77
306
+ 00:06:21,250 --> 00:06:27,530
307
+ sigma ุงูˆ sigma x ููŠ ุญุงู„ุฉ ุงู„ sample ู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ Sx
308
+
309
+ 78
310
+ 00:06:27,530 --> 00:06:32,830
311
+ ุนุดุงู† ู†ู…ูŠุฒ ูŠุนู†ูŠ ู…ูŠูˆ ูˆ sigma ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„
312
+
313
+ 79
314
+ 00:06:32,830 --> 00:06:38,410
315
+ population ูˆ ุงู„ x bar ูˆ ุงู„ Sx ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„
316
+
317
+ 80
318
+ 00:06:38,410 --> 00:06:39,030
319
+ sample
320
+
321
+ 81
322
+ 00:06:43,290 --> 00:06:49,230
323
+ ุฎู„ูŠู†ุง ู†ุดูˆู example ู†ู‚ุฑุงู‡
324
+
325
+ 82
326
+ 00:06:49,230 --> 00:06:54,290
327
+ ูˆ ุจุนุฏูŠู† ู†ุดูˆู ูƒูŠู ู†ุญู„ูˆุง ู…ุน ุจุนุถ during a twelve hour
328
+
329
+ 83
330
+ 00:06:54,290 --> 00:06:58,530
331
+ test of a steam generator ูƒุงู† ููŠู†ุง ูุญุต ู…ุฏุฉ ุงุชู†ุงุดุฑ
332
+
333
+ 84
334
+ 00:06:58,530 --> 00:07:05,030
335
+ ุณุงุนุฉ ู„ู…ูˆู„ุฏ ุจุฎุงุฑูŠ inlet pressure to be held
336
+
337
+ 85
338
+ 00:07:05,030 --> 00:07:07,910
339
+ constant ูŠุนู†ูŠ ุงู†ุช ู‡ุฐู‡ ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
340
+
341
+ 86
342
+ 00:07:12,120 --> 00:07:16,660
343
+ ุนู†ุฏ steam generator
344
+
345
+ 87
346
+ 00:07:16,660 --> 00:07:21,800
347
+ ู‡ุฏุฎู„ู‡
348
+
349
+ 88
350
+ 00:07:21,800 --> 00:07:26,200
351
+ ุจุฎุงุฑ ุงู„
352
+
353
+ 89
354
+ 00:07:26,200 --> 00:07:30,600
355
+ P inlet pressure ู…ุนูŠู† ุงู†ุง ู‡ุฏู ุงู„ุชุฌุฑุจุฉ ุงู†ู‡ ุงู‚ูŠุณ
356
+
357
+ 90
358
+ 00:07:30,600 --> 00:07:36,140
359
+ ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
360
+
361
+ 91
362
+ 00:07:37,780 --> 00:07:43,160
363
+ inlet pressure to be held constant at 4MPa ุงู„ู…ุทู„ูˆุจ
364
+
365
+ 92
366
+ 00:07:43,160 --> 00:07:48,700
367
+ ุงู† ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุชูƒูˆู† ู‚ูŠู…ุชู‡ ุซุงุจุชู‡ ูŠุญูุธ
368
+
369
+ 93
370
+ 00:07:48,700 --> 00:07:55,640
371
+ ุนู†ุฏ ุญูˆุงู„ูŠ 4MPa ูŠุนู†ูŠ ุญูˆุงู„ูŠ 40 bar for
372
+
373
+ 94
374
+ 00:07:55,640 --> 00:08:00,700
375
+ proper performance ุนุดุงู† ุงู„ generator ูŠู‚ุฏู‘ูŠ ุนู…ู„ู‡
376
+
377
+ 95
378
+ 00:08:00,700 --> 00:08:06,180
379
+ ุจุดูƒู„ ู…ู†ุงุณุจ pressure should not deviate from this
380
+
381
+ 96
382
+ 00:08:06,180 --> 00:08:12,430
383
+ valueby more than by more than one percent ุงู„
384
+
385
+ 97
386
+ 00:08:12,430 --> 00:08:16,770
387
+ pressure ุงู‚ู„ุช ุนุดุงู† ุงู„ steam ุงู„ู„ูŠ ุจุชุดุชุบู„ ุตุญ ุงู„
388
+
389
+ 98
390
+ 00:08:16,770 --> 00:08:20,170
391
+ deviation ุงู„ุงู†ุญุฑุงู ู…ุด ู„ุงุฒู… ูŠูƒูˆู† ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ููŠ
392
+
393
+ 99
394
+ 00:08:20,170 --> 00:08:23,990
395
+ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุฃุฑุจุนุฉ ู…ูŠุฌุง ูŠุนู†ูŠ ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุนู† point
396
+
397
+ 100
398
+ 00:08:23,990 --> 00:08:33,020
399
+ of four ู…ูŠุฌุง ุณูˆุงุก ุจุงู„ู…ูˆุฌุจ ุงูˆ ุจุงู„ุณุงู„ุจinlet pressure
400
+
401
+ 101
402
+ 00:08:33,020 --> 00:08:35,840
403
+ was measured one hundred times during the test
404
+
405
+ 102
406
+ 00:08:35,840 --> 00:08:41,920
407
+ ุฎู„ุงู„ ูุชุฑุฉ ุงุชู†ุงุดุฑ ุณุงุนุฉ ุฃุฎุฏู†ุง ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุท ุฃุฎุฏู†ุง
408
+
409
+ 103
410
+ 00:08:41,920 --> 00:08:47,960
411
+ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฎู„ุงู„ ูุชุฑุฉ ุงุชู†ุงุดุฑ ุณุงุนุฉ ุทุจุนุง ุงู„ู‚ุฑุงุกุงุช
412
+
413
+ 104
414
+ 00:08:47,960 --> 00:08:52,320
415
+ ุงู„ู…ูŠุฉ ู…ุด ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุงุดูŠ ู‡ูŠุฎุชู„ููˆุง ุนู† ุจุนุถVarious
416
+
417
+ 105
418
+ 00:08:52,320 --> 00:08:55,800
419
+ factors cause the readings to fluctuate ููŠู‡ ุงู„ุนุฏูŠุฏ
420
+
421
+ 106
422
+ 00:08:55,800 --> 00:09:02,460
423
+ ู…ู† ุงู„ู…ุคุซุฑุงุช ุงู„ู„ูŠ ู‡ุชุฎู„ูŠ ุงู„ู‚ูŠู… ุชุฎุชู„ู ู‡ุชูƒูˆู† ู…ุด ู‡ุชูƒูˆู†
424
+
425
+ 107
426
+ 00:09:02,460 --> 00:09:08,260
427
+ ู†ูุณ ุงู„ุฃุดูŠุงุก ุงู„ resolution ุทุจุนุง ููŠู‡ ุนู†ุฏ pressure
428
+
429
+ 108
430
+ 00:09:08,260 --> 00:09:17,660
431
+ gauge ุนู†ุฏ pressure gauge ุจู‚ูŠุณ
432
+
433
+ 109
434
+ 00:09:17,660 --> 00:09:18,080
435
+ ุงู„ pressure
436
+
437
+ 110
438
+ 00:09:26,570 --> 00:09:32,070
439
+ ุงู„ุชุฏุฑูŠุฌ ุงู„ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„ุถุบุท ู„ุญุฏ ูˆุงุญุฏ ููŠ ุงู„ุฃู„ู point
440
+
441
+ 111
442
+ 00:09:32,070 --> 00:09:34,030
443
+ oh oh one ู…ูŠุฌุง ุจุณูƒุงู„
444
+
445
+ 112
446
+ 00:09:49,100 --> 00:09:54,980
447
+ the number of results M is the number of readings
448
+
449
+ 113
450
+ 00:09:54,980 --> 00:09:58,580
451
+ falling in an interval of plus or minus 0.05 ู„ู…ุง
452
+
453
+ 114
454
+ 00:09:58,580 --> 00:10:06,980
455
+ ุจุงุฎุฏ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู‡ุงูŠ interval ู‡ุงูŠ ู‚ูŠู…ุฉ ูˆุณุทุฉ ูˆููŠู‡
456
+
457
+ 115
458
+ 00:10:06,980 --> 00:10:13,620
459
+ ุจุฑูˆุญ ุนู„ู‰ ุดู…ุงู„ู‡ุง plus or minus ู‡ุฑูˆุญ minus 0.005
460
+
461
+ 116
462
+ 00:10:15,350 --> 00:10:23,010
463
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆููŠ ุงู„ู…ูˆุฌุฉ ุจุฑูˆุญ plus point o o five
464
+
465
+ 117
466
+ 00:10:23,010 --> 00:10:27,250
467
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆู‡ุฐุง ุงู„ main value ูŠุนู†ูŠ ุจุญูƒูŠ ุงู„ู‚ุฑุงุกุงุช
468
+
469
+ 118
470
+ 00:10:27,250 --> 00:10:36,030
471
+ ู…ุซู„ุง ุญุฏ ู‡ู†ุง ู‡ุฐู‡ ุงู„ main value ุงุฑุจุนุฉ ุงู†ุง ุจุนุฏ
472
+
473
+ 119
474
+ 00:10:36,030 --> 00:10:42,510
475
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู† ุงุฑุจุน minus point o o five ู„ุงุฑุจุน
476
+
477
+ 120
478
+ 00:10:42,510 --> 00:10:53,780
479
+ point o ofive ุจุนุชุจุฑู‡ุง ุจุชู…ุซู„ู‡ุง ุงูŠุด ุงู„ุงุฑุจุนุฉ ุทูŠุจ
480
+
481
+ 121
482
+ 00:10:53,780 --> 00:11:00,620
483
+ ุงู„ู‚ุฑุงุกุฉ ุทู„ุนุช ุงู†ุฏูŠ ุงู†ุง ุญุงูƒูŠู‡ุง ุงู† ุงุฎุฏู†ุง ููŠ ุงู„ุงุทู†ุงุดุฑ
484
+
485
+ 122
486
+ 00:11:00,620 --> 00:11:07,760
487
+ ุณุงุนุฉ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุงู†ุฏูŠ ุงูˆู„ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ุงู†ุฏูŠ
488
+
489
+ 123
490
+ 00:11:07,760 --> 00:11:11,220
491
+ ุทู„ุนุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุงูŠุด ู…ุนู†ุงู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
492
+
493
+ 124
494
+ 00:11:12,320 --> 00:11:17,320
495
+ ูŠุนู†ูŠ ุงู„ range ุงู„ range ุจุชุงุนู‡ุง ุชู„ุงุชุฉ point ุชุณุนุฉ
496
+
497
+ 125
498
+ 00:11:17,320 --> 00:11:24,820
499
+ ุณุจุนุฉ plus or minus point O O five ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„
500
+
501
+ 126
502
+ 00:11:24,820 --> 00:11:36,780
503
+ range ู‡ุชู…ุซู„ู‡ุง ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ู„ุชู„ุงุชุฉ
504
+
505
+ 127
506
+ 00:11:36,780 --> 00:11:45,260
507
+ point ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉูˆุงุถุญุฉ ูŠุนู†ูŠ
508
+
509
+ 128
510
+ 00:11:45,260 --> 00:11:52,700
511
+ ู‡ุฐู‡ ุชู…ุซู„ ุงู„ range ุจุชุงุนู‡ุง ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ
512
+
513
+ 129
514
+ 00:11:52,700 --> 00:11:57,740
515
+ ู„ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุงูŠุด ู‚ูŠู…ุชู‡ุง
516
+
517
+ 130
518
+ 00:11:57,740 --> 00:12:07,540
519
+ ุงู„ู„ูŠ ู‡ูŠ ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุจุนุฉ ู„ูˆ ุฃุฎุฏู†ุง ู‡ุฐู‡ ู‡ุชูƒูˆู†
520
+
521
+ 131
522
+ 00:12:07,540 --> 00:12:08,820
523
+ ุจูŠู†
524
+
525
+ 132
526
+ 00:12:11,000 --> 00:12:19,860
527
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ู„ุงุฑุจุน point ุงูˆ ุงูˆ ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:12:19,860 --> 00:12:23,180
531
+ ุงู„ููŠ
532
+
533
+ 134
534
+ 00:12:23,180 --> 00:12:29,340
535
+ ุงู„ู†ุต ุงูŠุด ุงุฑุจุน ู…ุนู†ุงุชู‡ ูƒู„ ูƒูŠุจ ู…ุชู…ุซู„ range ุงู†ุง ู…ุงุฎุฏ
536
+
537
+ 135
538
+ 00:12:29,340 --> 00:12:34,300
539
+ ุงู„ center value ุจุณ ู…ุงุฎุฏ ุงู„ center value ู…ุนู†ุงุชู‡ ุงู„
540
+
541
+ 136
542
+ 00:12:34,300 --> 00:12:36,940
543
+ range ุงู„ู„ูŠ ุงู„ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ
544
+
545
+ 137
546
+ 00:12:36,940 --> 00:12:42,200
547
+ ุณุจุนุฉุจุชุธู‡ุฑ ุนู†ุฏู‰ ู‚ุฑุงุกุฉ ุจุชู‚ูŠู… ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ range
548
+
549
+ 138
550
+ 00:12:42,200 --> 00:12:44,900
551
+ ุงู„ู„ู‰ ุงู„ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ
552
+
553
+ 139
554
+ 00:12:44,900 --> 00:12:50,540
555
+ ุชู…ุงู†ูŠุฉ zero ุชุทู„ุน ุชู„ุงุช ู‚ุฑุงุกุงุช ุงู„ range ุงู„ู„ู‰ ุงู„
556
+
557
+ 140
558
+ 00:12:50,540 --> 00:12:53,660
559
+ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุตูุฑ
560
+
561
+ 141
562
+ 00:12:53,660 --> 00:13:01,500
563
+ ุจูŠุนุทูŠู†ุง ุงุชู†ุงุดุฑ ู‚ุฑุงุกุฉ ูˆ ู‡ูƒุฐุง ู…ุฌู…ูˆุนู‡ู… ุจูŠุทู„ุน ู…ูŠุฉ
564
+
565
+ 142
566
+ 00:13:01,500 --> 00:13:05,520
567
+ ู‚ุฑุงุกุฉ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ุงู†ุง ุฌู…ุนุชู‡ุง ู…ู†
568
+
569
+ 143
570
+ 00:13:05,520 --> 00:13:11,240
571
+ ุงู„ุชุฌุฑุจุฉ ุทุจุนุง ููŠ ุงู„ุจุฏุงูŠุฉุจูŠูƒูˆู† ุนู†ุฏู‰ 100 ู‚ุฑุงุกุฉุŒ ุจุนุฏูŠู†
572
+
573
+ 144
574
+ 00:13:11,240 --> 00:13:15,380
575
+ ุฃู†ุง ุจุตู†ูู‡ู… ุจุดูƒู„ ู‡ุฐุงุŒ ุจูŠูƒูˆู† ุนู†ุฏู‰ ุฅูŠุดุŸ 100 ู‚ุฑุงุกุฉุŒ
576
+
577
+ 145
578
+ 00:13:15,380 --> 00:13:18,500
579
+ ุจุนุฏูŠู† ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู† .. ุงู„ู„ูŠ ุจูŠู†
580
+
581
+ 146
582
+ 00:13:18,500 --> 00:13:21,340
583
+ ุชู„ุงุชุฉ ุจูˆู† ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ูˆ ุชู„ุงุชุฉ ุจูˆู† ุชุณุนุฉ ุณุจุนุฉ
584
+
585
+ 147
586
+ 00:13:21,340 --> 00:13:27,600
587
+ ุฎู…ุณุฉุŒ ุจุนุชุจุฑู‡ู… ุฅูŠุดุŸ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู†
588
+
589
+ 148
590
+ 00:13:27,600 --> 00:13:30,840
591
+ ุชู„ุงุชุฉ ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุฑุจุนุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉุŒ ู†ูุณ
592
+
593
+ 149
594
+ 00:13:30,840 --> 00:13:31,680
595
+ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุจุนุฏู‡ู…
596
+
597
+ 150
598
+ 00:13:38,540 --> 00:13:44,200
599
+ ุทุจุนุง ููŠ ุงู„ุฃูˆู„ ุจุนู…ู„ plot ู„ู„ histogram plot ู„ู„
600
+
601
+ 151
602
+ 00:13:44,200 --> 00:13:48,740
603
+ histogram ุงุญู†ุง ู„ุฏูŠู†ุง ุจุฏูŠู… ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
604
+
605
+ 152
606
+ 00:13:48,740 --> 00:13:51,960
607
+ ู„ุญุธุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ
608
+
609
+ 153
610
+ 00:13:51,960 --> 00:13:57,140
611
+ ุงุฑุจุนุฉ ุจุฒูŠุฏ point one ูƒู„ ู…ุฑุฉ ุงุฑุจุน point one ุงุฑุจุน
612
+
613
+ 154
614
+ 00:13:57,140 --> 00:14:00,000
615
+ point two ุงุฑุจุน point three ุงุฑุจุน point four ุงุฑุจุน
616
+
617
+ 155
618
+ 00:14:00,000 --> 00:14:05,510
619
+ point five ู…ุนู†ุงุชู‡ ุจู‚ุณู… ุงู„ู…ุญู…ุฑ ุงู„ุฃููƒูŠุงู†ุง ุจุนุฏูŠ ู…ู†
620
+
621
+ 156
622
+ 00:14:05,510 --> 00:14:10,210
623
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ุชู„ุงุชุฉ
624
+
625
+ 157
626
+ 00:14:10,210 --> 00:14:15,170
627
+ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุงุฑุจุน ุงุฑุจุน
628
+
629
+ 158
630
+ 00:14:15,170 --> 00:14:18,690
631
+ point oh one ุงุฑุจุน point oh two ุงุฑุจุน point oh three
632
+
633
+ 159
634
+ 00:14:18,690 --> 00:14:22,130
635
+ ุงุฑุจุน point oh four ุงุฑุจุน point oh five ุงุฑุจุน point
636
+
637
+ 160
638
+ 00:14:22,130 --> 00:14:28,510
639
+ oh ุณุชุฉ ู‡ูŠู† ุจุญุท ุงูŠุด ุงู„ุชูƒุฑุงุฑ
640
+
641
+ 161
642
+ 00:14:32,100 --> 00:14:36,600
643
+ ุงุญู†ุง ู‡ู†ุง ุงู„ุชู„ุงุชุฉ ุจู‚ูˆู† ุชุณุนุฉ ุณุจุนุฉ ุจุชุชูƒุฑุฑ ุงูŠุด ู…ุฑุฉ
644
+
645
+ 162
646
+ 00:14:36,600 --> 00:14:44,440
647
+ ูˆุงุญุฏุฉ ุงู„ุชู„ุงุชุฉ ุจู‚ูˆู† ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุช ู…ุฑุงุช ู†ุฑุฌุน
648
+
649
+ 163
650
+ 00:14:44,440 --> 00:14:47,820
651
+ ุงู„ุชู„ุงุชุฉ
652
+
653
+ 164
654
+ 00:14:47,820 --> 00:14:52,520
655
+ ุจู‚ูˆู† ุชุณุนุฉ ุชุณุนุฉ ุงุชู†ุงุดุฑ
656
+
657
+ 165
658
+ 00:14:52,520 --> 00:14:58,980
659
+ ู…ุฑุฉ ุงู„ุงุฑุจุนุฉ
660
+
661
+ 166
662
+ 00:15:02,090 --> 00:15:08,410
663
+ ู‡ุฐู‡ ุงู„ุฃุฑุจุนุฉ ู‡ุฐู‡
664
+
665
+ 167
666
+ 00:15:08,410 --> 00:15:12,890
667
+ ุนุดุฑูŠู† ูˆ ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ูˆ ูƒุฐุง ููƒูˆุฑูŠุด ุญูŠูƒูˆู†ู‡ ุงูŠุด
668
+
669
+ 168
670
+ 00:15:12,890 --> 00:15:17,930
671
+ ู…ุณุชุทูŠู„ ูุจุทู„ุน
672
+
673
+ 169
674
+ 00:15:17,930 --> 00:15:25,450
675
+ ุดูƒู„ ุงู„ instagram ูˆุงุถุญ ู…ู† ุดูƒู„ ุชูˆุฒูŠุน ุงู„ุนู…ุฏุงู† ุจุงู„ู†ุธุฑ
676
+
677
+ 170
678
+ 00:15:25,450 --> 00:15:32,190
679
+ ุงู†ุจูŠู†ู…ู…ูƒู† ุงุญูƒูŠ ุงู† ู‡ูˆ ุชูˆุฒูŠุน ุทุจูŠุนูŠ normal
680
+
681
+ 171
682
+ 00:15:32,190 --> 00:15:37,170
683
+ distribution ุงู„ุงู†
684
+
685
+ 172
686
+ 00:15:37,170 --> 00:15:42,050
687
+ ุงู„ normal distribution ู‡ุฐุง ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ ุงูƒุณู„
688
+
689
+ 173
690
+ 00:15:42,050 --> 00:15:51,110
691
+ ุดูŠุช ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ ุงูƒุณู„ ุดูŠุช ุงูˆ
692
+
693
+ 174
694
+ 00:15:51,110 --> 00:15:53,090
695
+ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุจุฑู†ุงู…ุฌ ุงู„ mini tab
696
+
697
+ 175
698
+ 00:16:05,030 --> 00:16:10,870
699
+ ุฃู†ุง ุญุงุท ุนู†ุฏู‡ูŠู† ุงู„ pressure ุจุงู„ ู…ูŠุฌุงุจุงุณูƒุงู„ ุจุงุฏูŠ ู…ู†
700
+
701
+ 176
702
+ 00:16:10,870 --> 00:16:14,590
703
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ู„ุญุฏ ุงุฑุจุนุฉ point ุงูˆ ุฎู…ุณุฉ
704
+
705
+ 177
706
+ 00:16:14,590 --> 00:16:21,370
707
+ ุจุนุฏูŠู† number of results M ุงู„ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
708
+
709
+ 178
710
+ 00:16:21,370 --> 00:16:25,790
711
+ ู…ุฑุฉ ูˆุงุญุฏุฉ ุงู„ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุช ู…ุฑุงุช
712
+
713
+ 179
714
+ 00:16:25,790 --> 00:16:29,770
715
+ ุงู„ุงุฑุจุนุฉ ุฎู…ุณุฉ ุนุดุฑ ู…ุฑุฉ ูˆุงุญุฏุฉ ูƒุฐุง ุจุนุฏูŠู† ุจุถุฑุจ ูƒู„ ู‚ุฑุงุกุฉ
716
+
717
+ 180
718
+ 00:16:29,770 --> 00:16:35,210
719
+ ูƒู„ ู‚ุฑุงุกุฉ ุจุชู‚ุฑุงู‡ุง P ููŠ MูŠุนู†ูŠ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ
720
+
721
+ 181
722
+ 00:16:35,210 --> 00:16:38,990
723
+ ููŠ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ููŠ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ
724
+
725
+ 182
726
+ 00:16:38,990 --> 00:16:42,890
727
+ point ุชุณุนุฉ ุชุณุนุฉ ููŠ ุงุชู†ุงุด ูˆุงุฑุจุน point ุงูˆ ุงูˆ ููŠ ุฎู…ุณ
728
+
729
+ 183
730
+ 00:16:42,890 --> 00:16:48,910
731
+ ุนุดุฑูŠู† ุจุชุนุทูŠู†ูŠ ุงู„ุนู…ูˆุฏ ู‡ุฐุง ุชูƒุฑุงุฑ ุนุดุงู† ุงูŠุด ุงู†ุง ุจุฏูŠ
732
+
733
+ 184
734
+ 00:16:48,910 --> 00:16:54,510
735
+ ุงุฌูŠุจุจู†ูุนุด ุงุฌู…ู„ ุนุดุงู† ุงูˆุฌุฏ ุงู„ู…ูŠู†ุŒ ุจู†ูุนุด ุงุฌู…ู„
736
+
737
+ 185
738
+ 00:16:54,510 --> 00:16:59,250
739
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ ูˆ ุงู‚ุณู…ู‡ู… ู…ุซู„ุง ุนู†ุฏู‡ูŠู† ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ
740
+
741
+ 186
742
+ 00:16:59,250 --> 00:17:03,710
743
+ ุชู„ุงุชุฉุŒ ุงุฑุจุนุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุชู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุจู†ูุนุด
744
+
745
+ 187
746
+ 00:17:03,710 --> 00:17:08,130
747
+ ุงุฌู…ู„ ู‡ุฏูˆู„ ูˆ ุงู‚ุณู… ุนู„ู‰ ุชุณุนุฉ ุนุดุงู† ุงุฌูŠุจ ุงู„ู…ูŠู†ุŒ ู…ุธุจูˆุทุŸ
748
+
749
+ 188
750
+ 00:17:08,130 --> 00:17:11,270
751
+ ู„ุฃู† ู‡ุงุฏ ู…ุซู„ุง ุงุชูƒุฑุฑุช ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุจุณ ู‡ุงุฏ ุงุชูƒุฑุฑุช ุชู„ุช
752
+
753
+ 189
754
+ 00:17:11,270 --> 00:17:16,990
755
+ ู…ุฑุงุชุŒ ู‡ุงุฏ ุงุชูƒุฑุฑุช ุงุชู†ุงุดุฑ ู…ุฑุฉุŒ ุจู…ุนู†ู‰ ุงุชูˆ ุงู„ PPM ุจู‚ู‰
756
+
757
+ 190
758
+ 00:17:16,990 --> 00:17:22,080
759
+ ุงุฌู…ุนู‡ู…ุจุฌูŠู„ูŠ ุงูŠุด ุงู„ sum ู„ู„ multiplication ู„ู„ PPM
760
+
761
+ 191
762
+ 00:17:22,080 --> 00:17:26,140
763
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชุทู„ุน ุงุฑุจุนู…ูŠุฉ point ุณุจุนุฉ ุณุจุนุฉ ูˆ ู…ู†ู‡ุง ุฏูŠ
764
+
765
+ 192
766
+ 00:17:26,140 --> 00:17:28,960
767
+ ุจุญุณุจ ุงูŠุด ุงู„ mean pressure ุงู„ู„ูŠ ู‡ูˆ ุงุฑุจุนู…ูŠุฉ ุงูˆ ุงูˆ
768
+
769
+ 193
770
+ 00:17:28,960 --> 00:17:33,680
771
+ ุณุจุนุฉ ุณุจุนุฉ ุนู„ู‰ ุงูŠุด ุนู„ู‰ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฎุชู…ูŠุฉ ู‚ุฑุงุกุฉ ู‡ุฏูˆู„
772
+
773
+ 194
774
+ 00:17:33,680 --> 00:17:41,300
775
+ ู…ุฌู…ูˆุนู‡ุง ูƒู… ู…ูŠุฉ ุงู†ุง ู‚ุงุณู… ูˆูŠู† ุนู„ู‰ ู…ูŠุฉ ุทูŠุจ
776
+
777
+ 195
778
+ 00:17:43,160 --> 00:17:46,720
779
+ ูˆ ุจุนุฏูŠู† ุจุญุณุจ ู‡ุฐุง ุงู„ main value ุงู„ deviation .. ุงู„
780
+
781
+ 196
782
+ 00:17:46,720 --> 00:17:52,440
783
+ deviation ู„ู„ุญ๏ฟฝ๏ฟฝุงู ุจูŠุณุงูˆูŠ ูƒู„ ู‚ุฑุงุกุฉ ู…ู† ู‡ุฏูˆู„ .. ูƒู„
784
+
785
+ 197
786
+ 00:17:52,440 --> 00:17:56,940
787
+ ู‚ุฑุงุกุฉ ู…ู† ู‡ุฏูˆู„ ู†ุงู‚ุต ุงู„ main valueูŠุนู†ูŠ ุงู„ mean value
788
+
789
+ 198
790
+ 00:17:56,940 --> 00:17:59,580
791
+ ุนู†ุฏูŠ ุงุฑุจุนุฉ point ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ุทู„ุนุช ูŠุนู†ูŠ ู‡ุฏุง ู‡ุชูƒูˆู†
792
+
793
+ 199
794
+ 00:17:59,580 --> 00:18:03,000
795
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ minus ุงุฑุจุนุฉ point ุงูˆ ุงูˆ
796
+
797
+ 200
798
+ 00:18:03,000 --> 00:18:06,220
799
+ ุชู…ุงู†ูŠุฉ ุจุชุทู„ุน minus point ุงูˆ ุชู„ุงุชุฉ ุชู…ุงู†ูŠุฉ ู‡ุฐู‡
800
+
801
+ 201
802
+ 00:18:06,220 --> 00:18:10,260
803
+ ุงู„ู‚ุฑุงูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ minus ุงุฑุจุนุฉ point
804
+
805
+ 202
806
+ 00:18:10,260 --> 00:18:15,380
807
+ ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ู‡ุฐู‡ ุงู„ู‚ุฑุงูŠุฉ ุงุฑุจุนุฉ minus ุงุฑุจุนุฉ point
808
+
809
+ 203
810
+ 00:18:15,380 --> 00:18:22,020
811
+ ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ูุงู†ุง ุจูˆุฌุฏ ุงู„ deviation ุงู‡ ูุถู„ ููŠ ุณุคุงู„
812
+
813
+ 204
814
+ 00:18:22,020 --> 00:18:29,440
815
+ ุจูˆุฌุฏ ุงู„ deviationุงู„ุงู†ุญุฑุงู ุนู† ุงู„ main value ุงู„ุนู…ูˆุฏ
816
+
817
+ 205
818
+ 00:18:29,440 --> 00:18:35,400
819
+ ู‡ุฐุง ุจุนุฏูŠู† I square ุจุฑุจุน ุงู„ deviation ูŠุนู†ูŠ point O
820
+
821
+ 206
822
+ 00:18:35,400 --> 00:18:41,420
823
+ ุชู„ุงุชุฉ ุชู…ุงู†ูŠุฉ ุชุฑุจูŠุนุฉ ู‡ูŠุช ุงู†ุญุฑุงูู‡ุง ู„ุชูƒุฑุฑ ู…ุฑุฉ ูˆุงุญุฏุฉ
824
+
825
+ 207
826
+ 00:18:41,420 --> 00:18:46,380
827
+ ู‡ุญูƒูŠ M ููŠ D ุชุฑุจูŠุนุฉ ุนู†ุฏู‡ุง ุงู„ุชูƒุฑุฑ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ูˆุงุญุฏ ููŠ
828
+
829
+ 208
830
+ 00:18:46,380 --> 00:18:48,760
831
+ D ุชุฑุจูŠุนุฉ ูˆ ู‡ุชุนุทูŠู†ุง ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ deviation
832
+
833
+ 209
834
+ 00:18:48,760 --> 00:18:53,570
835
+ ุชุฑุจูŠุน ุงุชูƒุฑุฑ ุงูƒุชุฑ ู…ุฑุฉุชู„ุงุชุฉ ูŠุนู†ูŠ ุชู„ุงุชุฉ ููŠ ู‡ุฐู‡
836
+
837
+ 210
838
+ 00:18:53,570 --> 00:18:56,630
839
+ ุจุชุนุทูŠู†ุง ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ deviation ุชุฑุจูŠุน ุงุชูƒุฑุฑ
840
+
841
+ 211
842
+ 00:18:56,630 --> 00:18:59,770
843
+ ุงุชู†ุงุดุฑ ู…ุฑุฉ ูŠุนู†ูŠ ุงุชู†ุงุดุฑ ููŠ ู‡ุฐู‡ ู‡ุฐู‡ ุงู„ deviation
844
+
845
+ 212
846
+ 00:18:59,770 --> 00:19:02,130
847
+ ุงุชูƒุฑุฑ ุฎู…ุณ ุนุดุฑูŠู† ู…ุฑุฉ ุฎู…ุณ ุนุดุฑูŠู† ููŠ ู‡ุฐู‡ ุจุชุนุทูŠู†ุง ู‡ุฐุง
848
+
849
+ 213
850
+ 00:19:02,130 --> 00:19:06,230
851
+ ุงู„ุฑู‚ู… ุจุนุฏูŠู† ุจูˆุฌุฏ ุงู„ summation for all deviation
852
+
853
+ 214
854
+ 00:19:06,230 --> 00:19:11,730
855
+ squared summation for all deviation squared ุจุนุฏูŠู†
856
+
857
+ 215
858
+ 00:19:11,730 --> 00:19:15,970
859
+ ุจุญุณุจ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ุฑู‚ู… ู…ุฌู…ูˆุน
860
+
861
+ 216
862
+ 00:19:15,970 --> 00:19:21,390
863
+ ุงู„ deviations ุชุฑุจูŠุนุนู„ู‰ N ู…ู‚ุต ูˆุงุญุฏ ู„ูŠุด N ู…ู‚ุต ูˆุงุญุฏ
864
+
865
+ 217
866
+ 00:19:21,390 --> 00:19:25,370
867
+ ุงู„ sample ูŠุนู†ูŠ ู‡ู‚ุณู… ุนู„ู‰ ุชุณุนุฉ ูˆุชุณุนูŠู† ู„ูˆ ุงู†ุง ู„ูˆ ู‚ุณู…ุช
868
+
869
+ 218
870
+ 00:19:25,370 --> 00:19:29,650
871
+ ุงู†ุง ู‡ู†ุง point O 186 ุนู„ู‰ ุชุณุนุฉ ูˆุชุณุนูŠู† ุจุชุนุทูŠู†ูŠ ุงูŠุด
872
+
873
+ 219
874
+ 00:19:29,650 --> 00:19:35,970
875
+ point O14 megapascal ูŠุนู†ูŠ ุงู†ุง ุนุฑูุช ุงู†ุง ุงูŠุด ุงู„
876
+
877
+ 220
878
+ 00:19:35,970 --> 00:19:41,930
879
+ standard deviation ูˆุงุถุญุฉ ูŠุนู†ูŠ ุงู„ standard
880
+
881
+ 221
882
+ 00:19:41,930 --> 00:19:43,750
883
+ deviation ุงู„ main
884
+
885
+ 222
886
+ 00:19:53,080 --> 00:19:57,420
887
+ ุงู„ู€ X bar ุจูŠุณุงูˆูŠ
888
+
889
+ 223
890
+ 00:19:57,420 --> 00:20:03,720
891
+ ุงู„ summation for
892
+
893
+ 224
894
+ 00:20:03,720 --> 00:20:11,800
895
+ all X ุนู„ู‰
896
+
897
+ 225
898
+ 00:20:11,800 --> 00:20:18,300
899
+ N ูˆุงู„ู€
900
+
901
+ 226
902
+ 00:20:18,300 --> 00:20:30,950
903
+ deviationI ุจุณูˆุฉ XI minus X bar ูˆ
904
+
905
+ 227
906
+ 00:20:30,950 --> 00:20:38,250
907
+ ุงู„ deviation I ุชุฑุจูŠุฉ ุงู„ู„ูŠ ู‡ูŠ XI minus X bar ูƒู„
908
+
909
+ 228
910
+ 00:20:38,250 --> 00:20:42,770
911
+ ุชุฑุจูŠุฉ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ SX ู„ุงู† ุจุญูƒูŠ ุนู†
912
+
913
+ 229
914
+ 00:20:42,770 --> 00:20:45,750
915
+ ุงู„ sample ุจุณูˆุฉ ุฌุฒุฑ ุงู„ุชุฑุจูŠุฉ
916
+
917
+ 230
918
+ 00:20:49,530 --> 00:20:59,110
919
+ ุงู„ุตู…ู…ุดู† ู„ DI ุชุฑุจูŠุน ู…ู† I ู…ู† ูˆุงุญุฏ ู„ู…ูŠุฉ ุนู„ู‰ N ู†ุงู‚ุต
920
+
921
+ 231
922
+ 00:20:59,110 --> 00:21:00,910
923
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
924
+
925
+ 232
926
+ 00:21:00,910 --> 00:21:01,590
927
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
928
+
929
+ 233
930
+ 00:21:01,590 --> 00:21:01,710
931
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
932
+
933
+ 234
934
+ 00:21:01,710 --> 00:21:01,970
935
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
936
+
937
+ 235
938
+ 00:21:01,970 --> 00:21:06,650
939
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
940
+
941
+ 236
942
+ 00:21:06,650 --> 00:21:10,150
943
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
944
+
945
+ 237
946
+ 00:21:10,150 --> 00:21:12,210
947
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
948
+
949
+ 238
950
+ 00:21:12,210 --> 00:21:12,470
951
+ ูˆุงุญุฏ
952
+
953
+ 239
954
+ 00:21:15,770 --> 00:21:24,610
955
+ ูˆ ุจุญุณุจ ุงู„ standard deviation ุงู„ุญุฑุงู ุงู„ู…ูŠุงุฑูŠุฉ ุทูŠุจ
956
+
957
+ 240
958
+ 00:21:24,610 --> 00:21:31,010
959
+ ูุงุญู†ุง
960
+
961
+ 241
962
+ 00:21:31,010 --> 00:21:36,410
963
+ ู‡ุฐุง ุงู„ุฌุฏูˆู„ ุงู†ุง ู…ู† ุงู„ Excel ุจุงุฎุฏู‡ ูุญุณุจุช ุงู„ mini
964
+
965
+ 242
966
+ 00:21:36,410 --> 00:21:41,490
967
+ pressure 4.008 ู…ูŠุฌุง ุจุณูƒุงู„ ูˆ ุงู„ standard deviation
968
+
969
+ 243
970
+ 00:21:41,490 --> 00:21:49,070
971
+ 0.014 ู…ูŠุฌุง ุจุณูƒุงู„ุงู„ู€ interval containing ุงู„ูุชุฑุฉ
972
+
973
+ 244
974
+ 00:21:49,070 --> 00:21:53,990
975
+ ุงู„ู„ู‰ ุจุชุญุชูˆู‰ ุนู„ู‰ 95% ู…ู† ุงู„ pressure readings ู…ู†
976
+
977
+ 245
978
+ 00:21:53,990 --> 00:22:03,730
979
+ ู‚ุฑุงุกุงุช ุงู„ุถุบุท ู‡ู‰ ู‡ุชูƒูˆู† ู…ูŠูˆ ุฃูˆ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ูุชุฑุฉ
980
+
981
+ 246
982
+ 00:22:03,730 --> 00:22:10,090
983
+ ุงู„ู„ู‰ ุจุชุบุทูŠ 95% ู…ู† ุงู„ู‚ุฑุงุกุงุช ู‡ุชูƒูˆู† X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
984
+
985
+ 247
986
+ 00:22:10,090 --> 00:22:13,790
987
+ 1.96SX
988
+
989
+ 248
990
+ 00:22:15,470 --> 00:22:20,870
991
+ ุงู„ู€ x bar ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ point o o ุชู…ุงู†ูŠุฉ ุฒุงุฏ ุงูˆ
992
+
993
+ 249
994
+ 00:22:20,870 --> 00:22:24,770
995
+ ู†ุงู‚ุต ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ ุงู„ standard division ุฏูŠ
996
+
997
+ 250
998
+ 00:22:24,770 --> 00:22:31,950
999
+ ุฃูƒู… ุญุณุจู†ุงู‡ุง ุงุญู†ุง point o ูˆุงุญุฏ ุงุฑุจุนุฉ ูŠุนู†ูŠ ู‡ูƒูˆู† four
1000
+
1001
+ 251
1002
+ 00:22:31,950 --> 00:22:37,950
1003
+ point o o ุชู…ุงู†ูŠุฉ plus or minus ุงู„ู„ูŠ ู‡ูŠ point o
1004
+
1005
+ 252
1006
+ 00:22:37,950 --> 00:22:42,690
1007
+ ุงุชู†ูŠู† ุณุจุนุฉ ู…ูŠุฌุงุจุณูƒุช
1008
+
1009
+ 253
1010
+ 00:22:45,570 --> 00:22:47,710
1011
+ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ูƒู…ุจูŠูˆุชุณ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ู…ุน
1012
+
1013
+ 254
1014
+ 00:22:47,710 --> 00:22:50,650
1015
+ ุงู„ู†ุงุชูˆ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุฌุงูŠุฉ ููŠ ุงู„
1016
+
1017
+ 255
1018
+ 00:22:50,650 --> 00:22:56,010
1019
+ range ู‡ุฐุง one
1020
+
1021
+ 256
1022
+ 00:22:56,010 --> 00:22:59,430
1023
+ objective of the pressure test ูƒุงู† ุฃุญุฏ ุงู„ุฃู‡ุฏุงู ู…ู†
1024
+
1025
+ 257
1026
+ 00:22:59,430 --> 00:23:04,070
1027
+ ูุญุต ุงู„ุถุบุท was to verify .. was to verify .. ู†ุชุฃูƒุฏ
1028
+
1029
+ 258
1030
+ 00:23:04,070 --> 00:23:09,070
1031
+ ุฃู† ุงู„ pressure ู…ุงูŠูƒูˆู†ุด
1032
+
1033
+ 259
1034
+ 00:23:09,070 --> 00:23:11,870
1035
+ ู„ุญุฑููŠ ุงุฒูŠุฏ ุนู† ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„
1036
+
1037
+ 260
1038
+ 00:23:11,870 --> 00:23:13,730
1039
+ pressure ู…ู† ู…ูŠู† ุงู„ pressure ุงูƒุงู…ุŸ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1040
+
1041
+ 261
1042
+ 00:23:17,620 --> 00:23:25,160
1043
+ of four mega pascal ุจุงู„ุณุงุนุฉ point O four mega
1044
+
1045
+ 262
1046
+ 00:23:25,160 --> 00:23:29,520
1047
+ pascal ุงู„
1048
+
1049
+ 263
1050
+ 00:23:29,520 --> 00:23:34,820
1051
+ point O four mega pascal ุงูƒู… standard deviation ู„ูˆ
1052
+
1053
+ 264
1054
+ 00:23:34,820 --> 00:23:36,960
1055
+ ู‚ุณู…ุชู‡ุง ุงู„ standard deviation ู‡ูˆ ู‚ูŠู…ุชู‡ ุงูƒู… point O
1056
+
1057
+ 265
1058
+ 00:23:36,960 --> 00:23:46,960
1059
+ ูˆุงุญุฏ ุงุฑุจุนุฉ ุตุญ ู‚ูŠู…ุชู‡ point O ูˆุงุญุฏ ุงุฑุจุนุฉุจุทู„ุน ุงุชู†ูŠู†
1060
+
1061
+ 266
1062
+ 00:23:46,960 --> 00:23:53,540
1063
+ ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ุณูŠุฌู…ุง ุงูˆ ุงูˆ ู‚ูŠู…ุฉ ุงู„ point offer
1064
+
1065
+ 267
1066
+ 00:23:53,540 --> 00:23:58,400
1067
+ point offer ู…ูŠุฌุง ุจุงุณูƒุงู„ ุชุนุงุฏู„ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ
1068
+
1069
+ 268
1070
+ 00:23:58,400 --> 00:24:02,980
1071
+ ุณูŠุฌู…ุง ุงูˆ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ู…ุถุฑูˆู ููŠ ุงู„ standard
1072
+
1073
+ 269
1074
+ 00:24:02,980 --> 00:24:07,660
1075
+ deviation for
1076
+
1077
+ 270
1078
+ 00:24:07,660 --> 00:24:12,750
1079
+ a Gaussian distributionthe probability of a 2.86
1080
+
1081
+ 271
1082
+ 00:24:12,750 --> 00:24:17,290
1083
+ sigma function is about one chance in 240 ูƒูŠู
1084
+
1085
+ 272
1086
+ 00:24:17,290 --> 00:24:29,930
1087
+ ู‡ู†ุนุฑูุŸ ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ tables ุงุญู†ุง
1088
+
1089
+ 273
1090
+ 00:24:29,930 --> 00:24:35,310
1091
+ ุนูƒูŠู†ุง .. ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ slide ุจูŠู†ุง ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1092
+
1093
+ 274
1094
+ 00:24:35,310 --> 00:24:39,450
1095
+ ุณุชุฉ sigma ุงู„ู„ูŠ ู‡ูŠ ุงู„ Z ุงู„ Z ุชุณุงูˆูŠ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1096
+
1097
+ 275
1098
+ 00:24:41,070 --> 00:24:47,330
1099
+ ูุจูŠุฌูŠ ู„ู„ table ู‡ู†ุง ุงุชู†ูŠู†
1100
+
1101
+ 276
1102
+ 00:24:47,330 --> 00:24:51,510
1103
+ ู„ุงุญุธุฉ ู‡ู†ุง ุณุชุฉ ูˆ ุนุดุฑุฉ ุงู„ุนู…ูˆุฏ ุงู„ุฑุงุจุน ู…ู† ุงู„ูŠู…ูŠู† ุงุชู†ูŠู†
1104
+
1105
+ 277
1106
+ 00:24:51,510 --> 00:25:06,770
1107
+ ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ู„ูŠู‡ ู‡ุฐู‡ ุงู„ุงุชู†ูŠู†
1108
+
1109
+ 278
1110
+ 00:25:06,770 --> 00:25:07,490
1111
+ ุจูˆู† ุชู…ุงู†ูŠุฉ
1112
+
1113
+ 279
1114
+ 00:25:10,640 --> 00:25:28,200
1115
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุนู„ู‰
1116
+
1117
+ 280
1118
+ 00:25:28,200 --> 00:25:28,840
1119
+ ุงู„ distribution
1120
+
1121
+ 281
1122
+ 00:25:44,130 --> 00:25:52,230
1123
+ ุงู„ู€ Z ุนู†ุฏู‰ 2.86
1124
+
1125
+ 282
1126
+ 00:25:52,230 --> 00:25:59,910
1127
+ ุณุฌู†ู‡ ุงู„ุฌุฏุฑ ู‡ุฐุง ุงูŠุด ุจูŠุนุทูŠู†ุง ุจูŠุนุทูŠู†ุง ุงู„ area ู‡ุฐู‡ ุงู„
1128
+
1129
+ 283
1130
+ 00:25:59,910 --> 00:26:03,330
1131
+ area ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
1132
+
1133
+ 284
1134
+ 00:26:12,380 --> 00:26:20,780
1135
+ ุทุจุนุง ู‡ุฐู‡ Zero ู‡ุฐู‡ Z ู‡ู†ุง Z ุจุงู„ุซุงู„ุซ Z ุจุงู„ุซุงู„ุซ ุซุงู„ุซ
1136
+
1137
+ 285
1138
+ 00:26:20,780 --> 00:26:23,780
1139
+ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ Sigma ู…ุนู†ุงู‡ ุงู† ุงู†ุง ุจุฏูŠ ูƒู„ ุงู„
1140
+
1141
+ 286
1142
+ 00:26:23,780 --> 00:26:29,400
1143
+ total area ู‡ุฐู‡ ู…ุนู†ุงู‡
1144
+
1145
+ 287
1146
+ 00:26:29,400 --> 00:26:32,640
1147
+ ุงู† ุงู„ total area ู‡ุชูƒูˆู† ู…ู† minus ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1148
+
1149
+ 288
1150
+ 00:26:32,640 --> 00:26:37,300
1151
+ ุณุชุฉ Sigma ู„ุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ Sigma ู…ุนู†ุงู‡ ุงู„
1152
+
1153
+ 289
1154
+ 00:26:37,300 --> 00:26:38,320
1155
+ total area ูƒู„ู‡ุง
1156
+
1157
+ 290
1158
+ 00:26:41,120 --> 00:26:48,700
1159
+ ุงู„ู„ูŠ ู‡ูŠ probability ุงู† ูƒู„ reading ุชุชุฑูˆุญ ุงู†ู‡ุง z ุจูŠู†
1160
+
1161
+ 291
1162
+ 00:26:48,700 --> 00:26:58,340
1163
+ minus 2.86 sigma to 2.86 sigma ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ
1164
+
1165
+ 292
1166
+ 00:26:58,340 --> 00:27:02,960
1167
+ point 4 9 7
1168
+
1169
+ 293
1170
+ 00:27:02,960 --> 00:27:10,410
1171
+ 9ูู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงุชู†ูŠู† ูู‰ ุชุณุนุฉ ุชู…ุงู†ุชุงุด ุงุชู†ูŠู†
1172
+
1173
+ 294
1174
+ 00:27:10,410 --> 00:27:15,810
1175
+ ูู‰ ุณุจุนุฉ ุฎู…ุณุชุงุด ุงุชู†ูŠู† ูู‰ ุชุณุนุฉ ุชุณุนุชุงุด ุงุชู†ูŠู† ูู‰ ุฃุฑุจุนุฉ
1176
+
1177
+ 295
1178
+ 00:27:15,810 --> 00:27:23,210
1179
+ ุจุชุณุนุฉ ูŠุนู†ูŠ
1180
+
1181
+ 296
1182
+ 00:27:23,210 --> 00:27:28,590
1183
+ ู…ู† ูƒู„ ุนุดุฑ ุชู„ุงู ู‚ุฑุงุกุฉ ุจูŠูƒูˆู† ุงู†ุช ุชุณุนุฉ ุชู„ุงู ุชุณุนูŠู†
1184
+
1185
+ 297
1186
+ 00:27:28,590 --> 00:27:32,030
1187
+ ุงุชู†ูŠู† ูˆุฎู…ุณูŠู† ู‚ุฑุงุกุฉ within range ู…ู† ูƒู„ ุนุดุฑ ุชู„ุงู
1188
+
1189
+ 298
1190
+ 00:27:32,030 --> 00:27:36,130
1191
+ ู‚ุฑุงุกุฉุจูŠูƒูˆู† ุนู†ุฏู‰ ุชุณุนุฉ ุชู„ุงู ุณู…ูŠุฉ ุชู…ุงู†ูŠุฉ ุฎู…ุณูŠุฉ
1192
+
1193
+ 299
1194
+ 00:27:36,130 --> 00:27:41,830
1195
+ ุงู†ู‚ุฑุงุกุฉ within range out of range ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูŠ
1196
+
1197
+ 300
1198
+ 00:27:41,830 --> 00:27:53,450
1199
+ ุนุดุฑ ุชู„ุงู ุงูˆ ู†ุญูƒูŠ ูˆุงุญุฏ ู†ุญูƒูŠ out of range so
1200
+
1201
+ 301
1202
+ 00:27:53,450 --> 00:27:59,650
1203
+ ูˆุงุญุฏ minus point ุชุณุนุฉ ุชุณุนุฉ ุงุฑุจุน ุชู…ุงู†ูŠุฉ ุฎู…ุณุฉ ู‡ูŠูƒูˆู†
1204
+
1205
+ 302
1206
+ 00:27:59,650 --> 00:28:02,970
1207
+ ุงู„ุณุงูˆูŠ point
1208
+
1209
+ 303
1210
+ 00:28:04,780 --> 00:28:11,800
1211
+ o o four ุงุฑุจุนุฉ
1212
+
1213
+ 304
1214
+ 00:28:11,800 --> 00:28:17,500
1215
+ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุชู†ูŠู† ู„ู…ุง
1216
+
1217
+ 305
1218
+ 00:28:17,500 --> 00:28:22,640
1219
+ ุงู‚ุณู… ูˆุงุญุฏ ุนู„ู‰ point
1220
+
1221
+ 306
1222
+ 00:28:22,640 --> 00:28:28,780
1223
+ o o ุงุฑุจุนุฉ ุงุชู†ูŠู† ุชุทู„ุน ุชู‚ุฑูŠุจุง ุงุชู†ูŠู† ูˆ ุชู…ุงู†ูŠุฉ ูˆ
1224
+
1225
+ 307
1226
+ 00:28:28,780 --> 00:28:34,730
1227
+ ุชู„ุงุชูŠู†ู…ุชูŠู† ูˆ ุงุฑุจุนูŠู† ูŠุนู†ูŠ ู…ู† ูƒู„ ู…ุชูŠู† ูˆ ุงุฑุจุนูŠู† ู‚ุฑุงุกุฉ
1228
+
1229
+ 308
1230
+ 00:28:34,730 --> 00:28:39,290
1231
+ ุชู‚ุฑูŠุจุง ุจุชุทู„ุน ูˆุงุญุฏุฉ out of range ู…ู† ูƒู„ ู…ุชูŠู† ูˆ
1232
+
1233
+ 309
1234
+ 00:28:39,290 --> 00:28:45,090
1235
+ ุงุฑุจุนูŠู† ู‚ุฑุงุกุฉ ุชุทู„ุน ูˆุงุญุฏุฉ out of range ุงูˆ ู†ู‚ุทุฉ ุดุฏุฉ
1236
+
1237
+ 310
1238
+ 00:28:45,090 --> 00:28:49,870
1239
+ ุทุจู‚ุง ู„ู„ confidence interval ุงู„ู„ูŠ ุงู†ุง ุงุฎุชุงุฑุชู‡ุง
1240
+
1241
+ 311
1242
+ 00:28:49,870 --> 00:28:54,410
1243
+ ู…ุนู†ุงุชู‡ ุงู† ุนู†ุฏูŠ ุงุฐุง
1244
+
1245
+ 312
1246
+ 00:28:54,410 --> 00:28:57,430
1247
+ ูƒุงู† ุงู„ distribution Gaussian ุงูˆ ู†ูˆุฑูˆ distribution
1248
+
1249
+ 313
1250
+ 00:28:57,430 --> 00:28:59,190
1251
+ ุชู‚ุฑูŠุจุง
1252
+
1253
+ 314
1254
+ 00:29:02,650 --> 00:29:06,330
1255
+ ูู‰ ุนู†ุฏู‰ ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุงุฆุชูŠู† ูˆุงุฑุจุนูŠู† ู‡ุชูƒูˆู† out of
1256
+
1257
+ 315
1258
+ 00:29:06,330 --> 00:29:15,690
1259
+ range ุงู„ confidence ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุชุณุนุฉ ูˆ ุชุณุนูŠู† ุชุณุนุฉ
1260
+
1261
+ 316
1262
+ 00:29:15,690 --> 00:29:19,010
1263
+ ูˆ ุชุณุนูŠู† ุจู‚ู‰ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
1264
+
1265
+ 317
1266
+ 00:29:40,600 --> 00:29:50,880
1267
+ ุทูŠุจ ุงู„ู„ูŠ ุงู†ุง ู‡ูƒูˆูŠู†ู‡ ุญุงู„ุชูŠู† ู‡ูƒูˆูŠู†ู‡ large samples ูˆ
1268
+
1269
+ 318
1270
+ 00:29:50,880 --> 00:29:56,140
1271
+ small samples ุงุฐุง ุนุฏุฏ ู‚ุฑุงุกุงุช ุงู„ sample ุงูƒุชุฑ ู…ู†
1272
+
1273
+ 319
1274
+ 00:29:56,140 --> 00:30:00,420
1275
+ ุชู„ุงุชูŠู† ู‡ุงุนุชุจุฑู‡ุง large ุงูƒุจุฑ ุณูˆุงุก ุชู„ุงุชูŠู† ุงุฐุง ุชุญุช
1276
+
1277
+ 320
1278
+ 00:30:00,420 --> 00:30:03,000
1279
+ ุงู„ุชู„ุงุชูŠู† ู‡ุงุนุชุจุฑู‡ุง small
1280
+
1281
+ 321
1282
+ 00:30:08,930 --> 00:30:14,330
1283
+ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ูˆุฑุฌุนู†ุง ูƒูŠู ู…ู…ูƒู† ู†ู‚ูŠู… ุชุดุชุช ุงู„ุจูŠุงู†ุงุช
1284
+
1285
+ 322
1286
+ 00:30:14,330 --> 00:30:20,710
1287
+ ุชุงุนุฉ ุงู„ุนูŠู†ุฉ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู„ุนูŠู†ุฉ ุงุญู†ุง
1288
+
1289
+ 323
1290
+ 00:30:20,710 --> 00:30:25,810
1291
+ ูƒุงู†ู†ุง ุงุชุฌุฑูˆุง ูˆุงุฎุฏู†ุง ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุท ุจุนุฏูŠู† ุญุณุจู†ุง ุงู„
1292
+
1293
+ 324
1294
+ 00:30:25,810 --> 00:30:30,690
1295
+ main value of pressure ูˆุดูˆูู†ุง ูƒูŠู ุงุชุดุชุช ุญูˆุงู„ูŠู† ุงู„
1296
+
1297
+ 325
1298
+ 00:30:30,690 --> 00:30:35,010
1299
+ main value ุจุญุณุจ ุงุฎุชูŠุงุฑู†ุง ู„ู„ confidence interval
1300
+
1301
+ 326
1302
+ 00:30:38,930 --> 00:30:42,430
1303
+ it did not yield an instant for the instant it
1304
+
1305
+ 327
1306
+ 00:30:42,430 --> 00:30:44,850
1307
+ used in using x bar as an approximation to the
1308
+
1309
+ 328
1310
+ 00:30:44,850 --> 00:30:48,110
1311
+ true value ุงู„ุงู† ู‡ู„ ุงู„ x bar ุงู„ x bar ุงู„ู„ูŠ ุญุณุจู†ุงู‡
1312
+
1313
+ 329
1314
+ 00:30:48,110 --> 00:30:52,650
1315
+ ููŠ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ุชู…ุซู„ ู„ู„ true value ู„ู„ pressure
1316
+
1317
+ 330
1318
+ 00:30:52,650 --> 00:31:00,710
1319
+ ู„ูŠุด ู„ุฃู† ุจุจุณุงุทุฉ ุงู„ูุญุต ุงู…ุชุฏ ุนู„ู‰ ุงุชู†ุงุดุฑ ุณุงุนุฉ ูˆ ุงู„
1320
+
1321
+ 331
1322
+ 00:31:00,710 --> 00:31:03,290
1323
+ steam generator ุจูŠูƒูˆู† ุดุบุงู„ ุนู„ู‰ ุทูˆู„ ูˆ ุฏู„ูˆุง ุดุบุงู„
1324
+
1325
+ 332
1326
+ 00:31:03,290 --> 00:31:08,790
1327
+ ุณู†ูŠู†ู…ุธุจูˆุทุŸ ู…ุนู†ุงู‡ ุงู† population of data ุงูƒุชุฑ ุจูƒุชูŠุฑ
1328
+
1329
+ 333
1330
+ 00:31:08,790 --> 00:31:18,610
1331
+ ู…ู† ุงู„ู…ูŠุฉ ุตุญุŸ ู…ุนู†ุงู‡ ุงู† ุงู„ X bar ุจุชู…ุซู„ุด ุงู„ true
1332
+
1333
+ 334
1334
+ 00:31:18,610 --> 00:31:24,290
1335
+ value 100% ู…ู…ูƒู† ุชูƒูˆู† ู‚ุฑูŠุจุฉ ู…ู†ู‡ุง if
1336
+
1337
+ 335
1338
+ 00:31:24,290 --> 00:31:27,670
1339
+ the pressure test were repeated ุฅุฐุง ุชู… ุฅุนุงุฏุฉ ุงู„ูุญุต
1340
+
1341
+ 336
1342
+ 00:31:27,670 --> 00:31:35,360
1343
+ ูƒุงู… ู…ุฑุฉ ู„ู…ุฏุฉ 12 ุณุงุนุฉ ุชุงู†ูŠู† ูˆุงุฎุฏู†ุง ูƒู…ุงู† 12ู‚ุฑุงุกุฉ ู‡ู„
1344
+
1345
+ 337
1346
+ 00:31:35,360 --> 00:31:39,880
1347
+ ุงู„ X bar ุงู„ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ X bar ุงู„ูุญุต ุงู„ุฃูˆู„ุงู†ูŠ ู„ุฃ
1348
+
1349
+ 338
1350
+ 00:31:39,880 --> 00:31:47,800
1351
+ ู‡ุชูƒูˆู† ู‚ุฑูŠุจุฉ ุจุณ ู…ุด ู‡ุชุทู„ุน ู†ูุณู‡ุง ู„ูˆ ุนู…ู„ู†ุง ูุญุต ุชุงู„ุช ูˆ
1352
+
1353
+ 339
1354
+ 00:31:47,800 --> 00:31:51,240
1355
+ ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ูŠุฉ ู‚ุฑุงุกุฉ ู‡ู„ ุงู„ X bar ุจุชุงุนุฉ ุงู„ุนูŠู†ุฉ
1356
+
1357
+ 340
1358
+ 00:31:51,240 --> 00:31:53,760
1359
+ ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ ุงู„ุฃุดูŠุงุก
1360
+
1361
+ 341
1362
+ 00:31:53,760 --> 00:31:58,200
1363
+ ู„ุฃ ู„ูˆ ุฃุฎุฏู†ุง ุจุฑุถ ุชุฌุฑุจุฉ ุฑุงุจุนุฉ ุฎู…ุณ ุณุงุฉ ุณุงุฏุณุฉ ู…ู†ุงุทู‚
1364
+
1365
+ 342
1366
+ 00:31:58,200 --> 00:32:02,740
1367
+ ุฅุฐุง ุจุนู…ู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุนูŠู†ุงุช ู…ุฌู…ูˆุนุฉ ุงู„ุนูŠู†ุงุช ู„ูƒู„ ุนูŠู†ุฉ
1368
+
1369
+ 343
1370
+ 00:32:02,740 --> 00:32:09,940
1371
+ ู‡ูƒูˆู† ู„ู‡ุงX bar ู„ูƒู„ ุนูŠู†ุงู‡ุง ูŠูƒูˆู† ู„ู‡ุง X bar ุชุงุนุชู‡ุง ู„ุฃู†
1372
+
1373
+ 344
1374
+ 00:32:09,940 --> 00:32:14,900
1375
+ ุงู„ X bars ู†ูุณู‡ู… ู‡ุฏูˆู„ ููŠู‡ fluctuation ู„ูˆ ุฃุฎุฏุช ุงู„ X
1376
+
1377
+ 345
1378
+ 00:32:14,900 --> 00:32:19,580
1379
+ bars ูƒู„ู‡ู… ู‡ุฏูˆู„ ูˆ ุฃุฎุฏุช ู„ู‡ู… mean value ู‡ูŠุตูŠุฑ ู„ู‡ู…
1380
+
1381
+ 346
1382
+ 00:32:19,580 --> 00:32:23,760
1383
+ fluctuation about the mean of means ุงู„ู„ูŠ ู‡ูˆ ู…ุชูˆุณุท
1384
+
1385
+ 347
1386
+ 00:32:23,760 --> 00:32:27,420
1387
+ ุงู„ู…ุชูˆุณุทุงุช ู‡ุตูŠุฑู‡ุง dispersion ู‡ุตูŠุฑู‡ุง ูŠุนู†ูŠ ุชุฐุจุฏ
1388
+
1389
+ 348
1390
+ 00:32:27,420 --> 00:32:30,780
1391
+ ุจุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ูˆุณุทู‰
1392
+
1393
+ 349
1394
+ 00:32:34,430 --> 00:32:39,690
1395
+ ู…ุนู†ุงุชู‡ ููŠ ุชุฐุจุฐุจ ู„ู„ samples ู„ู„ mean of samples
1396
+
1397
+ 350
1398
+ 00:32:39,690 --> 00:32:47,270
1399
+ ุญูˆุงู„ูŠู† ู†ู‚ุทุฉ ุงูˆ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ if n for each sample is
1400
+
1401
+ 351
1402
+ 00:32:47,270 --> 00:32:51,650
1403
+ very large ุงู„ุงู† ูŠุนู†ูŠ ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ุชู„ุงุชูŠู†ุงู„ู€
1404
+
1405
+ 352
1406
+ 00:32:51,650 --> 00:32:55,690
1407
+ distribution of the main values is Gaussian ุงู„ู€ X
1408
+
1409
+ 353
1410
+ 00:32:55,690 --> 00:32:58,890
1411
+ ุฃู†ุง ุงู„ุญูŠู† ุฃู†ุง ุนู…ู„ุช ุชุฌุฑุจุฉ ุงู„ุฃูˆู„ู‰ ุฃุฎุฏุช X bar ูˆุงุญุฏ
1412
+
1413
+ 354
1414
+ 00:32:58,890 --> 00:33:02,290
1415
+ ุชุฌุฑุจุฉ ุชุงู†ูŠุฉ ุฃุฎุฏุช X bar ุงุชู†ูŠู† ุชุฌุฑุจุฉ ุชุงู„ุชุฉ ู…ุซู„ุง ุณู…ูŠุช
1416
+
1417
+ 355
1418
+ 00:33:02,290 --> 00:33:06,490
1419
+ ูƒุฑุง ุชุงู„ุชุฉ ุฃุฎุฏุช X bar ุชู„ุงุชุฉ ูˆ ู‡ูƒุฐุง ุงู„ X bars ู‡ุฏูˆุฉ
1420
+
1421
+ 356
1422
+ 00:33:06,490 --> 00:33:10,590
1423
+ ุญุงุทุทุฉ ููŠ ุงู„ tablesููŠู‡ู… variations ุจูŠุทู„ุนูˆุด ู†ูุณ
1424
+
1425
+ 357
1426
+ 00:33:10,590 --> 00:33:14,310
1427
+ ุงู„ุงุดูŠ ุงู„ variation ุจุชุงุนุฉ ุงู„ X bars it follows
1428
+
1429
+ 358
1430
+ 00:33:14,310 --> 00:33:20,370
1431
+ Gaussian ุงูˆ normal distribution ุงุฐุง ูƒุงู†ุช ุนู†ุฏ ุงู„ ุงู„
1432
+
1433
+ 359
1434
+ 00:33:20,370 --> 00:33:29,430
1435
+ ุงู„ sample is large ุงู„ standard deviation ู„ู„ sample
1436
+
1437
+ 360
1438
+ 00:33:29,430 --> 00:33:34,350
1439
+ means ู…ุชูˆุณุท ุงู„ sample is sigma X bar ู†ูุณ ุงู„ X bar
1440
+
1441
+ 361
1442
+ 00:33:34,350 --> 00:33:37,920
1443
+ ููŠู‡ ุงู„ standard deviationู…ุชูˆู‚ุน ุงู„ standard
1444
+
1445
+ 362
1446
+ 00:33:37,920 --> 00:33:44,800
1447
+ deviation ู„ู„ X bar ุชูƒูˆู† ุงูƒุจุฑ ูˆู„ุง ุงู‚ู„ ู…ู† ุงู„
1448
+
1449
+ 363
1450
+ 00:33:44,800 --> 00:33:49,660
1451
+ standard deviation ู„ุชุฌุฑุจุฉ ูˆุงุญุฏุฉ ุงู‚ู„ ู‡ูƒูˆู† ุชู†ุญุดุฑ
1452
+
1453
+ 364
1454
+ 00:33:49,660 --> 00:33:53,060
1455
+ ุงูƒุชุฑ ูŠุนู†ูŠ ู…ุซู„ุง ุงู†ุง ุงู„ู„ูŠ ุงุฎุฏุช ุงุนู…ู„ ุชุฌุฑุจุฉ ู…ูŠุฉ ู‚ุฑุงุกุฉ
1456
+
1457
+ 365
1458
+ 00:33:53,060 --> 00:34:01,820
1459
+ ู‡ูŠุทู„ุน destruction ู…ุซู„ุง ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ู„ูˆ
1460
+
1461
+ 366
1462
+ 00:34:01,820 --> 00:34:07,650
1463
+ ุนู…ู„ุช ุชุฌุฑุจุฉ ูˆุงุญุฏ experiment ูˆุงุญุฏExperiment 2,
1464
+
1465
+ 367
1466
+ 00:34:08,230 --> 00:34:15,570
1467
+ Experiment 3 ู„ุญุฏ Experiment K ู…ุซู„ุง ูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง
1468
+
1469
+ 368
1470
+ 00:34:15,570 --> 00:34:20,490
1471
+ ู…ุงุฆุฉ ู‚ุฑุงูŠุฉ ู…ุงุฆุฉ readings ู…ุงุฆุฉ readings ู…ุงุฆุฉ
1472
+
1473
+ 369
1474
+ 00:34:20,490 --> 00:34:28,630
1475
+ readings ู‡ุญุตู„ ู„ุนุฏู‡ูŠู† X bar ูˆุงุญุฏูˆู‡ู†ุง ู‡ุญุตู„ X bar
1476
+
1477
+ 370
1478
+ 00:34:28,630 --> 00:34:36,650
1479
+ ุงุชู†ูŠู† ูˆ X bar ุชู„ุงุชุฉ ูˆ X bar K ู‡ุฏูˆู„ ุงู„ X bars
1480
+
1481
+ 371
1482
+ 00:34:36,650 --> 00:34:42,610
1483
+ ู‡ูŠูƒูˆู†ู‡ู… distribution ุฏุณุชุฑูˆูŠุดู† ุจุชุงุนู‡ู… ู‡ูŠุทู„ุน ุจุฑุถู‡ ู„ูˆ
1484
+
1485
+ 372
1486
+ 00:34:42,610 --> 00:34:49,470
1487
+ ุงุฑุจุน ุงู„ุจุงุณ ู‡ูŠุทู„ุน ุงูŠุงุด ู†ุฌุฑุจูŠู†
1488
+
1489
+ 373
1490
+ 00:34:49,470 --> 00:34:51,150
1491
+ ู†ู‚ุทุน ุจุนุถ ุงูƒุชุฑ
1492
+
1493
+ 374
1494
+ 00:34:54,640 --> 00:34:57,780
1495
+ ููˆุงุถุญ ู„ุตุฏุฑ deviation ู‡ูŠ ู…ุฎุชู„ูุฉ ู„ุตุฏุฑ deviation ู„ู„
1496
+
1497
+ 375
1498
+ 00:34:57,780 --> 00:35:03,680
1499
+ data ู„ูƒู„ ู„ูƒู„ set of experiments ู…ุนู†ุงุชู‡ ุจูŠูƒูˆู† ุงู„
1500
+
1501
+ 376
1502
+ 00:35:03,680 --> 00:35:10,760
1503
+ sigma x bar ู„ู„ x bar ุจุชุณุงูˆูŠ
1504
+
1505
+ 377
1506
+ 00:35:10,760 --> 00:35:18,580
1507
+ sigma ุนู„ู‰ ุฌุฏุฑ n ู‡ุฐุง sigma ุงูŠุดุŸ sigma ุจุชุงุนุฉ ุงู„ data
1508
+
1509
+ 378
1510
+ 00:35:18,580 --> 00:35:24,150
1511
+ for one set of experiment ู‡ุฐุง ุงู„ sigmaูˆ sigma x ู‡ูŠ
1512
+
1513
+ 379
1514
+ 00:35:24,150 --> 00:35:29,510
1515
+ standard deviation ุจุชุงุนุฉ ุงู„ X bar ุชู‚ุณู… ุนู† ุฌุฒุก
1516
+
1517
+ 380
1518
+ 00:35:29,510 --> 00:35:32,770
1519
+ ุงู…ุงู†ู‡ ูˆุงุถุญ ุงู†ู‡ุง ู„ูŠู‡ุงุด ุงุตุบุฑ ุจูŠูƒูˆู† ุนู†ุฏู‰ distribution
1520
+
1521
+ 381
1522
+ 00:35:32,770 --> 00:35:42,370
1523
+ ู…ุถุบูˆุท since
1524
+
1525
+ 382
1526
+ 00:35:42,370 --> 00:35:46,570
1527
+ X bar is Gaussian distributedwith distribution
1528
+
1529
+ 383
1530
+ 00:35:46,570 --> 00:35:50,650
1531
+ with standard deviation sigma x bar ู…ู…ูƒู† ุงุณุชุฎุฏู…
1532
+
1533
+ 384
1534
+ 00:35:50,650 --> 00:35:54,690
1535
+ ู†ูุณ ุงู„ table ุงู„ table ุงุชู†ูŠู† z ุจุณุชูˆู‰ x bar minus mu
1536
+
1537
+ 385
1538
+ 00:35:54,690 --> 00:35:58,910
1539
+ ุนู„ู‰ sigma x bar ูˆุฒูŠ ุงูˆ ุนูˆุงุท ุนู† sigma x bar sigma
1540
+
1541
+ 386
1542
+ 00:35:58,910 --> 00:36:03,950
1543
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ n ู…ู…ูƒู†
1544
+
1545
+ 387
1546
+ 00:36:03,950 --> 00:36:07,950
1547
+ ุงุณุชุฎุฏู… ุฌุฏูˆู„ ุนุดุงู† ุงุญุณุจ probabilities of occurrence
1548
+
1549
+ 388
1550
+ 00:36:07,950 --> 00:36:14,300
1551
+ ู„ some events with c confidence intervalู„ู„ู€ true
1552
+
1553
+ 389
1554
+ 00:36:14,300 --> 00:36:18,180
1555
+ mean value ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุชูƒูˆู† within the range
1556
+
1557
+ 390
1558
+ 00:36:18,180 --> 00:36:28,360
1559
+ ุจูŠู† X bar minus Z ุงู„ confidence interval ุนู„ู‰ 2 ููŠ
1560
+
1561
+ 391
1562
+ 00:36:28,360 --> 00:36:32,920
1563
+ sigma ุนู„ู‰ ุฌุฐุฑ N ูˆ ุจูŠู† X bar ูˆ ZC ุนู„ู‰ 2 ููŠ sigma
1564
+
1565
+ 392
1566
+ 00:36:32,920 --> 00:36:37,460
1567
+ ุนู„ู‰ ุฌุฐุฑ N ู‡ุชูƒูˆู† ู‡ูŠ ุงู„ู€ mu value ุจูŠู† ู‡ุฏูˆู„ ุงู„ุงุซู†ุชูŠู†
1568
+
1569
+ 393
1570
+ 00:36:37,460 --> 00:36:42,160
1571
+ ู‡ุฏู‰ ุงู„ู‚ูŠู…ุฉ lower bound ูˆู‡ุฏู‰ ุงู„ upper bound
1572
+
1573
+ 394
1574
+ 00:36:48,360 --> 00:36:52,160
1575
+ ุทูŠุจ for large samples ุงุญู†ุง ุจู†ุญูƒูŠ ุงู„ sigma ุฏู‡
1576
+
1577
+ 395
1578
+ 00:36:52,160 --> 00:36:56,460
1579
+ ุจู†ุณุชุฎุฏู…ู‡ ู„ู„ population for large samples ู…ู…ูƒู†
1580
+
1581
+ 396
1582
+ 00:36:56,460 --> 00:37:04,690
1583
+ ุงุนุชุจุฑ ุงู† ุงู„ Sx ู‡ูŠ ู†ูุณ ุนุงุดุฑ ุงู„ sigmaู„ู…ุง ู†ุญุณุจ ุทุจุนุง
1584
+
1585
+ 397
1586
+ 00:37:04,690 --> 00:37:09,510
1587
+ ุงู„ X bar ุงู„ู…ุนู†ู‰ ุชูˆุตูŠ ุงู„ confidence interval ุงู„ ู…ูŠูˆ
1588
+
1589
+ 398
1590
+ 00:37:09,510 --> 00:37:14,430
1591
+ ุงู„ู„ูŠ ุชุชุฑุงูˆุญ ุจูŠู† X bar ู…ุงู†ุง ZC ุน ุชู†ูŠู† SX ุนู„ู‰ ุฌุฒุฑ N
1592
+
1593
+ 399
1594
+ 00:37:14,430 --> 00:37:23,770
1595
+ ูˆ ุจูŠู† X bar ุฒุงุฆุฏ ZC ุน ุชู†ูŠู† SX ุนู„ู‰ ุฌุฒุฑ N ุทุจุนุง ุงู„ SX
1596
+
1597
+ 400
1598
+ 00:37:23,770 --> 00:37:27,350
1599
+ bar ุงู„ standard deviation ู„ู„ main values ู…ูุทุงุจู„
1600
+
1601
+ 401
1602
+ 00:37:27,350 --> 00:37:31,890
1603
+ ุงู„ุฃุฎุฑู‰ ุฏูŠ SX ุนู„ู‰ ุฌุฒุฑ ุชุฑุจูŠุนูŠ ู„ N ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุญูƒูŠ ู‡ุฐู‡
1604
+
1605
+ 402
1606
+ 00:37:33,770 --> 00:37:47,350
1607
+ ู…ุถุฑูˆุจุฉ ู‡ุฐุง ุงุนุชุจุงุฑู‡ุง Sx bar ูˆู‡ุฐุง Sx bar ุทูŠุจ ุชุดูˆู
1608
+
1609
+ 403
1610
+ 00:37:47,350 --> 00:37:47,770
1611
+ ู…ุซุงู„
1612
+
1613
+ 404
1614
+ 00:38:04,150 --> 00:38:12,430
1615
+ Determine a 99% confidence interval for the mean
1616
+
1617
+ 405
1618
+ 00:38:12,430 --> 00:38:23,690
1619
+ pressure calculated in the previous example ุงูˆู„ุด
1620
+
1621
+ 406
1622
+ 00:38:23,690 --> 00:38:25,110
1623
+ ุงู„ confidence interval ุงู†ุง ุนู†ุฏูŠ ู‡ุงูŠ
1624
+
1625
+ 407
1626
+ 00:38:33,920 --> 00:38:39,880
1627
+ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ูƒู„ู‡ุง ุงู†ุง ู…ุญูƒูŠู‡ 99% ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
1628
+
1629
+ 408
1630
+ 00:38:39,880 --> 00:38:49,340
1631
+ ุชุณุงูˆูŠ ุงูŠุด ู…ุณุงุญุฉ ุงู„ area ุชุณุงูˆูŠ point 99 ุตุญ ู…ุตุฎุฉ ู‡ุฐู‡
1632
+
1633
+ 409
1634
+ 00:38:49,340 --> 00:38:52,680
1635
+ ุงู„ู…ุณุงุญุฉ
1636
+
1637
+ 410
1638
+ 00:38:52,680 --> 00:38:58,100
1639
+ 99
1640
+
1641
+ 411
1642
+ 00:38:58,100 --> 00:39:02,940
1643
+ ุนู„ู‰ 2 point 495
1644
+
1645
+ 412
1646
+ 00:39:04,480 --> 00:39:11,780
1647
+ ุจุฏูŠ ุฃุญุณุจ z c ุนู„ู‰ 2 ุงู„ู„ูŠ ู‡ูŠ z ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ ูˆุชุณุนูŠู†
1648
+
1649
+ 413
1650
+ 00:39:11,780 --> 00:39:18,140
1651
+ ุนู„ู‰ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูŠ z point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณ ูู…ุง
1652
+
1653
+ 414
1654
+ 00:39:18,140 --> 00:39:25,780
1655
+ ุจุญุณุจู‡ุง ุฏูŠ ู…ู† ุงู„ table ุจุฑูˆุญ ุนู„ู‰ ุงู„ table ุงู†ุง ุชู‚ุนุฏุช
1656
+
1657
+ 415
1658
+ 00:39:25,780 --> 00:39:28,820
1659
+ ุจุนุทูŠู„ู‡ ุงู„ z ูˆ ุจุงุฎุฏ ู…ู†ู‡ ุงู„ area ุงู†ุง ุญุงู„ูŠุง ุนุงุฑู ุงู„
1660
+
1661
+ 416
1662
+ 00:39:28,820 --> 00:39:29,500
1663
+ area ุงู„ุนูƒุณ
1664
+
1665
+ 417
1666
+ 00:39:33,720 --> 00:39:39,680
1667
+ ุจุฏูŠ ุงู†ุง ุงูƒู…ู„ ู…ุณุงุญุฉ ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ุงุฑุจุนุฉ ุชุณุนุฉ
1668
+
1669
+ 418
1670
+ 00:39:39,680 --> 00:39:45,040
1671
+ ุฌุงูŠู†ุง ุงุญู†ุง ู‡ู†ุง ู‡ู†ุง point ุงุฑุจุนุฉ ุชุณุนุฉ ุงุฑุจุนุฉ ุชุณุนุฉ
1672
+
1673
+ 419
1674
+ 00:39:45,040 --> 00:39:51,740
1675
+ ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุญุฏ ูŠุนู†ูŠ ุฌุงูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงุฑุจุนุฉ
1676
+
1677
+ 420
1678
+ 00:39:51,740 --> 00:39:57,100
1679
+ ุชุณุนุฉ ู‡ู†ุง ุงุญู†ุง ุฌุงูŠู†ุง ุงู„
1680
+
1681
+ 421
1682
+ 00:39:57,100 --> 00:39:59,560
1683
+ point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ููŠ ุงู„ู…ุตุฏุฑ ุฌุงูŠ ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡
1684
+
1685
+ 422
1686
+ 00:39:59,560 --> 00:40:08,950
1687
+ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู‡ุฐู‡ ุนู†ุฏูŠุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1688
+
1689
+ 423
1690
+ 00:40:08,950 --> 00:40:18,330
1691
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1692
+
1693
+ 424
1694
+ 00:40:18,330 --> 00:40:20,850
1695
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1696
+
1697
+ 425
1698
+ 00:40:20,850 --> 00:40:25,330
1699
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1700
+
1701
+ 426
1702
+ 00:40:25,330 --> 00:40:32,880
1703
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉุงูŠุด ูุงู†ุง ุงู„ูƒูˆู† ุงู„ู„ูŠ ู‡ูŠ point ุงู‡
1704
+
1705
+ 427
1706
+ 00:40:32,880 --> 00:40:38,540
1707
+ ุจุณ ู‡ูŠ ุฎู…ุณุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ุงุญุชู…ุงู„ูŠุฉ ู„ู…ุง
1708
+
1709
+ 428
1710
+ 00:40:38,540 --> 00:40:42,720
1711
+ ุงู„ุญุตูˆู„ู‡ุง ุชุทู„ุน ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ูŠุนู†ูŠ
1712
+
1713
+ 429
1714
+ 00:40:42,720 --> 00:40:53,960
1715
+ ุงุญุชู…ุงู„ ุงู†ู‡ุงู„ู€ Z ุชูƒูˆู† ุจูŠู† ุงู„ุตูุฑ ูˆ 2.5759.5 ุงุญุชู…ุงู„
1716
+
1717
+ 430
1718
+ 00:40:53,960 --> 00:40:59,500
1719
+ ุชูƒูˆู† ุจูŠู† ุงู„ู€ minus 2.5759.5 ูˆ 2.5759.5 ุชุณุนุฉ ูˆุชุณุนูŠู†
1720
+
1721
+ 431
1722
+ 00:40:59,500 --> 00:41:05,080
1723
+ ููŠ ุงู„ู…ูŠุฉ ุทูŠุจ
1724
+
1725
+ 432
1726
+ 00:41:05,080 --> 00:41:11,700
1727
+ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ู…ู† ุงู„ table ุญุณุจู†ุงู‡ุง ุงู„ confidence
1728
+
1729
+ 433
1730
+ 00:41:11,700 --> 00:41:20,010
1731
+ intervalู…ู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† X bar ุงู„
1732
+
1733
+ 434
1734
+ 00:41:20,010 --> 00:41:22,710
1735
+ confidence interval ุงู„ confidence interval ุจุชูƒูˆู†
1736
+
1737
+ 435
1738
+ 00:41:22,710 --> 00:41:31,890
1739
+ ุณูˆู‰ plus or minus Z ุงู„ C ุนู„ู‰ ุงุชู†ูŠู† ููŠ ุงู„ S X ุนู„ู‰
1740
+
1741
+ 436
1742
+ 00:41:31,890 --> 00:41:40,540
1743
+ ุฌุฒุฑ ุงู„ N ุจุชุณุงูˆูŠ plus or minus ุงู„ Zุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงุชู†ูŠู†
1744
+
1745
+ 437
1746
+ 00:41:40,540 --> 00:41:46,060
1747
+ point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุงู„ Sx ุญุณุจู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ููŠ
1748
+
1749
+ 438
1750
+ 00:41:46,060 --> 00:41:51,920
1751
+ ุงู„ example ุงู„ุณุงุจู‚ point O ูˆุงุญุฏ ุงุฑุจุนุฉ point O ูˆุงุญุฏ
1752
+
1753
+ 439
1754
+ 00:41:51,920 --> 00:41:59,560
1755
+ ุงุฑุจุนุฉ ุน ุฌุฒุฑ ุงูŠุด ุงู„ู…ูŠุฉ ุชู†ุถุฑุจ
1756
+
1757
+ 440
1758
+ 00:41:59,560 --> 00:42:02,900
1759
+ ุชุนุทูŠู†ุง
1760
+
1761
+ 441
1762
+ 00:42:02,900 --> 00:42:06,360
1763
+ ุงู„ู„ูŠ
1764
+
1765
+ 442
1766
+ 00:42:06,360 --> 00:42:07,300
1767
+ ู‡ูŠ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
1768
+
1769
+ 443
1770
+ 00:42:14,360 --> 00:42:18,260
1771
+ ู…ุงุดูŠ ุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงู„ main value ุงุญู†ุง ุญุณุจู†ุงู‡ุง ู…ู†
1772
+
1773
+ 444
1774
+ 00:42:18,260 --> 00:42:24,540
1775
+ ุงู„ุซุงู„ุซ ุณุงุนุฉ ุจุชุทู„ุน ุงุฑุจุน point OO ุชู…ุงู†ูŠุฉ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
1776
+
1777
+ 445
1778
+ 00:42:24,540 --> 00:42:28,700
1779
+ ุญุณุจ ู‡ุฐู‡ ุงุชู†ูŠู† ู…ุงุฆุฉ ุฎู…ุณ ุจู‚ู‰ ุฎู…ุณ ุชู„ู point O ูˆุงุญุฏ
1780
+
1781
+ 446
1782
+ 00:42:28,700 --> 00:42:35,180
1783
+ ุงุฑุจุน ุนู„ู‰ ุฌุฒุฑ ุงู„ู…ูŠุฉ ุชุทู„ุน point OO ุชู„ุงุชุฉ ุณุชุฉ ู‡ุชู…ุซู„
1784
+
1785
+ 447
1786
+ 00:42:35,180 --> 00:42:40,640
1787
+ ninety nine percent confidence interval ู…ุนู†ุงุชู‡
1788
+
1789
+ 448
1790
+ 00:42:43,290 --> 00:42:51,190
1791
+ ุงู„ pressure ู‡ูŠ ุชุฑูˆุญ ุจูŠู† ุงู„
1792
+
1793
+ 449
1794
+ 00:42:51,190 --> 00:42:55,190
1795
+ pressure ุงู„
1796
+
1797
+ 450
1798
+ 00:42:55,190 --> 00:43:02,050
1799
+ main pressure ู‡ูŠูƒูˆู† ุงูƒุจุฑ ู…ู† ุงุฑุจุน point o o ุชู…ุงู†ูŠุฉ
1800
+
1801
+ 451
1802
+ 00:43:02,050 --> 00:43:09,190
1803
+ ู†ุงู‚ุต ู‡ุฐุง ุงู„ุฑู‚ู… ุงุณู…ู‡ ุงุฑุจุน
1804
+
1805
+ 452
1806
+ 00:43:09,190 --> 00:43:16,290
1807
+ point o o ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต point o oุชู„ุงุชุฉ ุณุชุฉ ุงุฑุจุนุฉ
1808
+
1809
+ 453
1810
+ 00:43:16,290 --> 00:43:27,790
1811
+ ุงุฑุจุนุฉ
1812
+
1813
+ 454
1814
+ 00:43:27,790 --> 00:43:30,970
1815
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1816
+
1817
+ 455
1818
+ 00:43:30,970 --> 00:43:37,330
1819
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1820
+
1821
+ 456
1822
+ 00:43:37,330 --> 00:43:39,470
1823
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1824
+
1825
+ 457
1826
+ 00:43:45,710 --> 00:43:51,730
1827
+ 99% confidence ูŠุนู†ูŠ
1828
+
1829
+ 458
1830
+ 00:43:51,730 --> 00:43:59,370
1831
+ ุงุญุชู…ุงู„ูŠุฉ 9% ุงู† ุงู„ mean pressure ูŠูƒูˆู† ุฌุงูŠ ููŠ ุงู„
1832
+
1833
+ 459
1834
+ 00:43:59,370 --> 00:44:07,650
1835
+ range ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู‡ุฐู‡ ู…ุนู†ุงู‡ 99% 1% ุงู† ูŠูƒูˆู† ุจุฑุง
1836
+
1837
+ 460
1838
+ 00:44:07,650 --> 00:44:13,670
1839
+ ุงู„ range ูŠูƒูˆู† ุงู‚ู„ ู…ู† ู‡ุฐู‡ ุงูˆ ุงุนู„ู‰ ู…ู† ู‡ุฐู‡ู‡ุฐุง ุงู„ูˆุงุญุฏ
1840
+
1841
+ 461
1842
+ 00:44:13,670 --> 00:44:18,030
1843
+ ููŠ ุงู„ู…ูŠุฉ ุงู„ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุจูŠุณู…ูˆู‡ุง ุนุดุงู† level of
1844
+
1845
+ 462
1846
+ 00:44:18,030 --> 00:44:25,570
1847
+ significance level of significance ูŠุนู†ูŠ ุงู„ูƒูˆู†
1848
+
1849
+ 463
1850
+ 00:44:25,570 --> 00:44:28,310
1851
+ level of significance ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุนู† ุงู„ .. ุงู„ .. ุงู„
1852
+
1853
+ 464
1854
+ 00:44:28,310 --> 00:44:31,870
1855
+ out .. ุงู„ outlet range ูŠุนู†ูŠ ุชูƒูˆู† ุงู„ุฃุดูŠุงุก ุงู„ู‚ูŠู…ุฉ
1856
+
1857
+ 465
1858
+ 00:44:31,870 --> 00:44:36,610
1859
+ ุงู„ู‚ุฑุงุกุฉ ุจุฑุง ุงู„ range ุงู„ level of significance ุฒุงุฏ
1860
+
1861
+ 466
1862
+ 00:44:36,610 --> 00:44:40,710
1863
+ ุงู„ level of confidence ุฃุดูˆู‰ ุงู„ุณุงูˆูŠุฉ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
1864
+
1865
+ 467
1866
+ 00:44:49,750 --> 00:44:55,230
1867
+ ู‡ู„ ู‡ูˆ ู…ูˆุถูˆุน ุชุงู†ูŠ ู…ูˆุถูˆุน ุชุงู†ูŠ ุงู† ุงู†ุช ุชุญูƒูŠ ู…ุซู„ุง point
1868
+
1869
+ 468
1870
+ 00:44:55,230 --> 00:45:01,970
1871
+ o ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุงู‡ ูƒู… ุชุทู„ุน point o for ู…ูŠุฌุง ูŠุนู†ูŠ ุงูƒู…
1872
+
1873
+ 469
1874
+ 00:45:01,970 --> 00:45:10,070
1875
+ bar point ุงุฑุจุนุฉ bar ุงู„ bar ุงูƒู… ู…ุชุฑ ุงุฑุชูุงุน ุงู„ู…ูŠู‡
1876
+
1877
+ 470
1878
+ 00:45:10,070 --> 00:45:15,950
1879
+ ุจูŠุฌูŠุจ ุนุดุฑุฉ ู…ุชุฑ ุงู„ bar ุนุดุฑุฉ ู…ุชุฑ point ุงุฑุจุนุฉ ู…ุนู†ุงุชู‡
1880
+
1881
+ 471
1882
+ 00:45:15,950 --> 00:45:21,300
1883
+ ุงุฑุชูุงุน ุนู…ูˆุถ ู…ูŠู‡ุงุฑุจุนุฉ ู…ุชุฑ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ู…ุด ุตุบูŠุฑุฉ
1884
+
1885
+ 472
1886
+ 00:45:21,300 --> 00:45:33,600
1887
+ ุงู„ุงุฑุจุน ูˆ ุงู† ุนุดุฑุฉ bar ูŠุนู†ูŠ reasonable ุทูŠุจ
1888
+
1889
+ 473
1890
+ 00:45:33,600 --> 00:45:38,900
1891
+ ุงู„ู…ุญุงุถุฑุฉ
1892
+
1893
+ 474
1894
+ 00:45:38,900 --> 00:45:42,680
1895
+ ุฌุงุก ุจุงู„ Campbell ู…ู†ุฏุฑุณ ุญุงู„ุฉ ุงู„ confidence
1896
+
1897
+ 475
1898
+ 00:45:42,680 --> 00:45:48,150
1899
+ intervalsfor small samples ูŠุนู†ูŠ ุงู„ุงู† ุจูŠูƒูˆู† ุงู‚ู„ ู…ู†
1900
+
1901
+ 476
1902
+ 00:45:48,150 --> 00:45:49,030
1903
+ ุชู„ุงุชูŠู†
1904
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/CtW3gdVs1C0_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/CtW3gdVs1C0_raw.srt ADDED
@@ -0,0 +1,1904 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,580 --> 00:00:08,580
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,580 --> 00:00:13,540
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ ู…ุญุงุถุฑุงุชู†ุง ููŠ chapter ุชู„ุงุชุฉ
8
+
9
+ 3
10
+ 00:00:13,540 --> 00:00:16,860
11
+ ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช assessing and
12
+
13
+ 4
14
+ 00:00:16,860 --> 00:00:22,040
15
+ presenting experimental data ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุชุฉ
16
+
17
+ 5
18
+ 00:00:22,040 --> 00:00:27,060
19
+ ุชุญุฏุซู†ุง ุนู† ุงุณุชุฎุฏุงู… ุงู„ normal distributionููŠ ุญุณุงุจุงุช
20
+
21
+ 6
22
+ 00:00:27,060 --> 00:00:32,160
23
+ ุงู„ .. ุงูˆ ุงู„ .. ุงู„ error ุนุฑูู†ุง ุงู„ error ู‡ูˆ ุงู„ูุฑู‚
24
+
25
+ 7
26
+ 00:00:32,160 --> 00:00:39,160
27
+ ุจูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ููŠ ูƒุซูŠุฑ ู…ู†
28
+
29
+ 8
30
+ 00:00:39,160 --> 00:00:46,280
31
+ ุงู„ุฃุญูŠุงู† ุงู„ุชุฐุจุฐุจ ุงู„ูƒุฑุงุกุงุช ุญูˆู„ ุงู„ู†ู‚ุทุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ุจุฃุฎุฏ
32
+
33
+ 9
34
+ 00:00:46,280 --> 00:00:52,680
35
+ ุชูˆุฒูŠุน ุทุจูŠุนูŠ ุงู„ู„ูŠ ู‡ูˆ Gaussian distribution ุงู„
36
+
37
+ 10
38
+ 00:00:52,680 --> 00:00:53,920
39
+ Gaussian distribution
40
+
41
+ 11
42
+ 00:00:59,840 --> 00:01:03,240
43
+ ุจูุนุทู‰ ุจุงู„ุนู„ุงู‚ุฉ f of x ู‡ูˆ ูˆุงุญุฏ ุนู„ู‰ ุณูŠุฌู…ุง ุฌุฒุก ุชุฑุจูŠู‡
44
+
45
+ 12
46
+ 00:01:03,240 --> 00:01:07,500
47
+ ู„ุงุชู†ูŠู† by exponential minus x minus mu ุนู„ู‰ ุงุชู†ูŠู†
48
+
49
+ 13
50
+ 00:01:07,500 --> 00:01:13,520
51
+ ุณูŠุฌู…ุง ุชุฑุจูŠุน ุงู„ x ู‡ูŠ ุงู„ู‚ุฑุงุกุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ุงู„ mu
52
+
53
+ 14
54
+ 00:01:13,520 --> 00:01:17,740
55
+ ู‡ูŠ ุงู„ main value ู„ูƒู„ ุงู„ population ูˆ ุงู„ sigma ู‡ูŠ
56
+
57
+ 15
58
+ 00:01:17,740 --> 00:01:22,990
59
+ ุงู„ standard deviation ู„ู„ populationุงู„ main value
60
+
61
+ 16
62
+ 00:01:22,990 --> 00:01:27,730
63
+ ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ู‰ ูŠุชู… ู‚ูŠุงุณู‡ุง ู…ุน ุงู„ุทุงุจ ู„ู„ุนู‚ู„ ุงู„ู„ู‰ ุงู†ุชูˆุง
64
+
65
+ 17
66
+ 00:01:27,730 --> 00:01:33,510
67
+ ุดุงูŠููŠู†ู‡ุง ุงู„ู„ู‰ ู‡ู‰ ู…ุฌู…ูˆุน ูƒู„ ุงู„ู‚ูŠุงู… ุนู„ู‰ ุนุฏุฏู‡ุง ุงุนุฑูู†ุง
68
+
69
+ 18
70
+ 00:01:33,510 --> 00:01:37,650
71
+ ุงู„ deviation ุงู„ุงู†ุญุฑุงู ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ .. ุงู„ .. ุงู„ ..
72
+
73
+ 19
74
+ 00:01:37,650 --> 00:01:41,430
75
+ ุงู„ .. ุงูˆ ุงู„ main value ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงูŠ ู‚ุฑุงุกุฉ ูˆ ุงู„
76
+
77
+ 20
78
+ 00:01:41,430 --> 00:01:48,550
79
+ main value ุทุจุนุง
80
+
81
+ 21
82
+ 00:01:48,550 --> 00:01:53,300
83
+ ููŠู† ุฏูŠ ุงู„ุญูƒูŠ ุงู†ุง ููŠู† populationูˆููŠ ุงู†ุฏู‚ุงุด sample
84
+
85
+ 22
86
+ 00:01:53,300 --> 00:01:59,140
87
+ ูˆุนุฑูู†ุง ุงู„ูุฑู‚ ุจูŠู† ุงู„ population ูˆ ุจูŠู† ุงู„ sample ููŠ
88
+
89
+ 23
90
+ 00:01:59,140 --> 00:02:04,740
91
+ ุญุงู„ุฉ ุงู„ population ุจู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ sigma ู„ู„ standard
92
+
93
+ 24
94
+ 00:02:04,740 --> 00:02:07,160
95
+ deviation
96
+
97
+ 25
98
+ 00:02:08,640 --> 00:02:11,300
99
+ ุงูˆ ู‡ู†ุง ุงุญู†ุง ู†ุญูƒูŠ ุนู†ู‡ุง ุงู„ู„ูŠ ู‡ูˆ summary of
100
+
101
+ 26
102
+ 00:02:11,300 --> 00:02:13,340
103
+ probability estimates ููŠู‡ุง ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู† plus or
104
+
105
+ 27
106
+ 00:02:13,340 --> 00:02:17,580
107
+ minus sigma plus or minus 1.96 sigma ุงูˆ plus or
108
+
109
+ 28
110
+ 00:02:17,580 --> 00:02:22,180
111
+ minus 3 sigma ุงู„ confidence ููŠ ุญุงู„ุฉ plus or minus
112
+
113
+ 29
114
+ 00:02:22,180 --> 00:02:25,560
115
+ sigma ูŠูƒูˆู† 68.3
116
+
117
+ 30
118
+ 00:02:26,610 --> 00:02:31,750
119
+ ุงู„ู„ูŠ ููŠ ุญุงู„ุฉ ุงู„ 1.96 ุณูŠุฌู…ุง ุจูŠูƒูˆู† 65% ุงู„ confidence
120
+
121
+ 31
122
+ 00:02:31,750 --> 00:02:37,150
123
+ interval ุงู„ plus or minus 3 ุณูŠุฌู…ุง ุงู„ confidence 99
124
+
125
+ 32
126
+ 00:02:37,150 --> 00:02:43,590
127
+ .6 confidence ูŠุนู†ูŠ ุงู†ู‡ ุจุชูƒูˆู† ุงู„ุจูŠุงู†ุงุช ูˆุงู‚ุน ููŠ ุงู„
128
+
129
+ 33
130
+ 00:02:43,590 --> 00:02:49,050
131
+ range ู‡ุฐุง ุจู†ุณุจุฉ ู…ุซู„ุง 65% ุจู†ุณุจุฉ 99% ู‡ุฐุง ุงู„
132
+
133
+ 34
134
+ 00:02:49,050 --> 00:02:49,370
135
+ confidence
136
+
137
+ 35
138
+ 00:02:53,490 --> 00:02:56,350
139
+ ุงู„ standard deviation ููŠ ุญุงู„ุฉ ุงู„ population ู‡ูˆ ุฌุฒุฑ
140
+
141
+ 36
142
+ 00:02:56,350 --> 00:03:01,130
143
+ ุงู„ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ุงู„ู…ุฌู…ูˆุน ุงู„ deviations ุชุฑุจูŠุน ุนู„ู‰ ุงู„
144
+
145
+ 37
146
+ 00:03:01,130 --> 00:03:03,490
147
+ .. ุนู„ู‰ ุงู„ n ุงู„ู„ูŠ ู‡ูŠ number of readings
148
+
149
+ 38
150
+ 00:03:06,450 --> 00:03:11,010
151
+ ุทุจุนุง ุงุญู†ุง ุนุดุงู† ู†ุฎู„ูŠ ุงู„ property distribution
152
+
153
+ 39
154
+ 00:03:11,010 --> 00:03:18,130
155
+ ุงู„ุฌูˆุณู† ูŠูƒูˆู† ู…ุชู…ุงุซู„ ุญูˆุงู„ูŠู† ุงู„ y axis ุงุณุชุฎุฏู…ู†ุง ุงู„
156
+
157
+ 40
158
+ 00:03:18,130 --> 00:03:21,990
159
+ variable z ูˆุนุฑูู†ุง ุงู„ z ุจุงู„ุณุชูˆุงุก x minus mu ุนู„ู‰
160
+
161
+ 41
162
+ 00:03:21,990 --> 00:03:25,310
163
+ ุณุฌู…ุง ุจูŠุตูŠุฑ ุงู„ property density function ู…ุนุฑู
164
+
165
+ 42
166
+ 00:03:25,310 --> 00:03:27,910
167
+ ุจุงู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ f of z ูˆุงุญุฏ ุนู„ู‰ ุณุฌู…ุง ูŠุฌูŠ ุฒุฑุจูŠู‡
168
+
169
+ 43
170
+ 00:03:27,910 --> 00:03:31,170
171
+ ุนู„ู‰ ุงุชู†ูŠู† by exponential of minus z ุชุฑุจูŠู‡ ุนู„ู‰
172
+
173
+ 44
174
+ 00:03:31,170 --> 00:03:31,930
175
+ ุงุชู†ูŠู†
176
+
177
+ 45
178
+ 00:03:40,130 --> 00:03:44,410
179
+ ุจุงูŠู† ุนู†ุฏู‰ ุจุงู„ุดูƒู„ ู‡ุฐุง ู…ูˆุฑุฌูŠู† ุงู„ different
180
+
181
+ 46
182
+ 00:03:44,410 --> 00:03:49,330
183
+ confidence intervals ู…ู…ูƒู† ูŠูƒูˆู† ุฏู‰ ุงู„ confidence
184
+
185
+ 47
186
+ 00:03:49,330 --> 00:03:52,590
187
+ ูŠูƒูˆู† ุฏู‰ ุงุฎุฏ plus or minus sigma ุงูˆ plus or minus
188
+
189
+ 48
190
+ 00:03:52,590 --> 00:03:57,110
191
+ two sigma ุงูˆ plus or minus ุชู„ุงุชุฉ sigma
192
+
193
+ 49
194
+ 00:04:00,550 --> 00:04:09,150
195
+ ู‡ูƒุฐุง ู†ุณุชุฎุฏู… table ุงุชู†ูŠู† ุนุดุงู† ู†ุฌุฏ for a given z
196
+
197
+ 50
198
+ 00:04:09,150 --> 00:04:13,470
199
+ value ู†ุฌุฏ ุงู„ area ุชุญุช ุงู„ property density function
200
+
201
+ 51
202
+ 00:04:13,470 --> 00:04:18,030
203
+ ุญุง๏ฟฝ๏ฟฝูŠู†
204
+
205
+ 52
206
+ 00:04:18,030 --> 00:04:20,870
207
+ example ุงุชู†ูŠู† ุนุดุงู† ู†ุดูˆู ูƒูŠู ุงุณุชุฎุฏุงู… ุงู„ุฌุฏุงูˆู„
208
+
209
+ 53
210
+ 00:04:20,870 --> 00:04:28,470
211
+ example ุชู„ุงุชุฉ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง
212
+
213
+ 54
214
+ 00:04:31,100 --> 00:04:34,780
215
+ ุงู„ุงู† so far ุงุญู†ุง ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ theory of statistics
216
+
217
+ 55
218
+ 00:04:34,780 --> 00:04:38,720
219
+ based on population ุงู„ูŠูˆู… ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ theory of
220
+
221
+ 56
222
+ 00:04:38,720 --> 00:04:44,260
223
+ statistics based on the sample ุงู„ู‡ุฏู ู…ู† ุงุณุชุฎุฏุงู… ุงู„
224
+
225
+ 57
226
+ 00:04:44,260 --> 00:04:49,480
227
+ sample ุงู† ุงู†ุง ุนู…ู„ูŠุง ุจูƒูˆู†ุด ู‚ุงุฏุฑ ุงู†ู‡ ุงุบุทูŠ ูƒู„
228
+
229
+ 58
230
+ 00:04:49,480 --> 00:04:52,200
231
+ population ุฒูŠ ู…ุง ุญูƒูŠู†ุง ู…ุซู„ุง ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ ูู„ุณุทูŠู†
232
+
233
+ 59
234
+ 00:04:52,200 --> 00:04:57,720
235
+ ุงุนุฏุงุฏู‡ู… ู…ุซู„ุง ู…ุฆุงุช ุงู„ุฃู„ูˆู ุตุนุจ ุงุบุทูŠ ูƒู„ population ูˆ
236
+
237
+ 60
238
+ 00:04:57,720 --> 00:05:04,040
239
+ ุจุงู„ุชุงู„ูŠ ุจุถุทุฑ ุงุฎุฏุงู„ุงู† ุงู„ู‡ุฏู ู‡ุณุชุฎุฏู… ุงู„ average
240
+
241
+ 61
242
+ 00:05:04,040 --> 00:05:08,300
243
+ values from the sample to estimate mean or
244
+
245
+ 62
246
+ 00:05:08,300 --> 00:05:10,820
247
+ standard deviation of the population ูŠุนู†ูŠ ู‡ุณุชุฎุฏู…
248
+
249
+ 63
250
+ 00:05:10,820 --> 00:05:15,340
251
+ ุงู„ sample ุนุดุงู† ุฃุทู„ุน ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุญุตุงุฆูŠุฉ ุงู„ู„ูŠ ุจุชู…ุซู„
252
+
253
+ 64
254
+ 00:05:15,340 --> 00:05:22,960
255
+ ุฅู„ู‰ ุญุฏ ู…ุง ุงู„ population ุจุดูƒู„ ุนุงู… ููŠ ุญุงู„ุฉ ุงู„ sample
256
+
257
+ 65
258
+ 00:05:22,960 --> 00:05:27,780
259
+ ุงู„ sample ู…ู…ูƒู† ุชู„ุชูŠู† ู‚ุฑุงุกุฉ ุฎู…ุณูŠู† ู‚ุฑุงุกุฉ ุฃู„ู ู‚ุฑุงุกุฉุงู„
260
+
261
+ 66
262
+ 00:05:27,780 --> 00:05:31,280
263
+ .. ุงู„ .. ุงู„ main value ู„ูƒู„ ู‚ุฑุงุกุฉ ุจุงู„ุณุงูˆูŠุฉ ู…ุฌู…ูˆุนุฉ
264
+
265
+ 67
266
+ 00:05:31,280 --> 00:05:36,240
267
+ ุนู„ู‰ ุฅูŠุดุŸ ุนู„ู‰ ุนุฏุฏู‡ุง ู‡ูŠ ู‡ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุฒุงุฏ
268
+
269
+ 68
270
+ 00:05:36,240 --> 00:05:39,720
271
+ ุงู„ู‚ุฑุงุกุฉ ุงุชู†ูŠู† ุฒุงุฏ ุงู„ู‚ุฑุงุกุฉ ุชู„ุงุชุฉ ู„ุญุฏ ุงู„ู‚ุฑุงุกุฉ N ุนู„ู‰
272
+
273
+ 69
274
+ 00:05:39,720 --> 00:05:45,240
275
+ N ุงู„ standard deviation ููŠ ุงู„ุญุงู„ุฉ ุงู„ simple ู†ูุณ
276
+
277
+ 70
278
+ 00:05:45,240 --> 00:05:50,840
279
+ ุงู„ู…ุนุงุฏู„ุฉ ู…ุฌู…ูˆุนุฉ ุงู„ deviations ุชุฑุจูŠุน ุนู„ู‰ N minus
280
+
281
+ 71
282
+ 00:05:50,840 --> 00:05:54,820
283
+ one ุนู„ู‰ N minus one ูƒู„ู‡ ุชุญุช ุงู„ุฌุฏุฑุฉ
284
+
285
+ 72
286
+ 00:05:59,250 --> 00:06:02,570
287
+ ู„ูˆ ุนู…ู„ู†ุง ููŠ ุงู„ .. ููŠ ุงู„ .. ููŠ ุงู„ symbols ุงู„ู…ุณุชุฎุฏู…
288
+
289
+ 73
290
+ 00:06:02,570 --> 00:06:07,290
291
+ ููŠ .. ููŠ ุญุงู„ุฉ ุงู„ population ูˆ ููŠ ุญุงู„ุฉ ุงู„ .. ุงู„
292
+
293
+ 74
294
+ 00:06:07,290 --> 00:06:10,710
295
+ sample ููŠ ุญุงู„ุฉ population ุงู„ mean value ุจู†ุณุชุฎุฏู…ู‡
296
+
297
+ 75
298
+ 00:06:10,710 --> 00:06:18,210
299
+ ู…ูŠูˆ ุงูˆ ู…ูŠูˆ ุงูƒุณ ููŠ ุญุงู„ุฉุงู„ sample ู†ุณุชุฎุฏู… x bar ุงู„
300
+
301
+ 76
302
+ 00:06:18,210 --> 00:06:21,250
303
+ standard deviation ููŠ ุญุงู„ุฉ ุงู„ population ู†ุณุชุฎุฏู…
304
+
305
+ 77
306
+ 00:06:21,250 --> 00:06:27,530
307
+ sigma ุงูˆ sigma x ููŠ ุญุงู„ุฉ ุงู„ sample ู†ุณุชุฎุฏู… ุงู„ุฑู…ุฒ Sx
308
+
309
+ 78
310
+ 00:06:27,530 --> 00:06:32,830
311
+ ุนุดุงู† ู†ู…ูŠุฒ ูŠุนู†ูŠ ู…ูŠูˆ ูˆ sigma ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„
312
+
313
+ 79
314
+ 00:06:32,830 --> 00:06:38,410
315
+ population ูˆ ุงู„ x bar ูˆ ุงู„ Sx ู†ุณุชุฎุฏู…ู‡ู… ููŠ ุญุงู„ุฉ ุงู„
316
+
317
+ 80
318
+ 00:06:38,410 --> 00:06:39,030
319
+ sample
320
+
321
+ 81
322
+ 00:06:43,290 --> 00:06:49,230
323
+ ุฎู„ูŠู†ุง ู†ุดูˆู example ู†ู‚ุฑุงู‡
324
+
325
+ 82
326
+ 00:06:49,230 --> 00:06:54,290
327
+ ูˆ ุจุนุฏูŠู† ู†ุดูˆู ูƒูŠู ู†ุญู„ูˆุง ู…ุน ุจุนุถ during a twelve hour
328
+
329
+ 83
330
+ 00:06:54,290 --> 00:06:58,530
331
+ test of a steam generator ูƒุงู† ููŠู†ุง ูุญุต ู…ุฏุฉ ุงุชู†ุงุดุฑ
332
+
333
+ 84
334
+ 00:06:58,530 --> 00:07:05,030
335
+ ุณุงุนุฉ ู„ู…ูˆู„ุฏ ุจุฎุงุฑูŠ inlet pressure to be held
336
+
337
+ 85
338
+ 00:07:05,030 --> 00:07:07,910
339
+ constant ูŠุนู†ูŠ ุงู†ุช ู‡ุฐู‡ ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
340
+
341
+ 86
342
+ 00:07:12,120 --> 00:07:16,660
343
+ ุนู†ุฏ steam generator
344
+
345
+ 87
346
+ 00:07:16,660 --> 00:07:21,800
347
+ ู‡ุฏุฎู„ู‡
348
+
349
+ 88
350
+ 00:07:21,800 --> 00:07:26,200
351
+ ุจุฎุงุฑ ุงู„
352
+
353
+ 89
354
+ 00:07:26,200 --> 00:07:30,600
355
+ P inlet pressure ู…ุนูŠู† ุงู†ุง ู‡ุฏู ุงู„ุชุฌุฑุจุฉ ุงู†ู‡ ุงู‚ูŠุณ
356
+
357
+ 90
358
+ 00:07:30,600 --> 00:07:36,140
359
+ ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุงู„ุจุฎุงุฑูŠ
360
+
361
+ 91
362
+ 00:07:37,780 --> 00:07:43,160
363
+ inlet pressure to be held constant at 4MPa ุงู„ู…ุทู„ูˆุจ
364
+
365
+ 92
366
+ 00:07:43,160 --> 00:07:48,700
367
+ ุงู† ุงู„ุถุบุท ุงู„ุฏุงุฎู„ ุนู„ู‰ ุงู„ู…ูˆู„ุฏ ุชูƒูˆู† ู‚ูŠู…ุชู‡ ุซุงุจุชู‡ ูŠุญูุธ
368
+
369
+ 93
370
+ 00:07:48,700 --> 00:07:55,640
371
+ ุนู†ุฏ ุญูˆุงู„ูŠ 4MPa ูŠุนู†ูŠ ุญูˆุงู„ูŠ 40 bar for
372
+
373
+ 94
374
+ 00:07:55,640 --> 00:08:00,700
375
+ proper performance ุนุดุงู† ุงู„ generator ูŠู‚ุฏู‘ูŠ ุนู…ู„ู‡
376
+
377
+ 95
378
+ 00:08:00,700 --> 00:08:06,180
379
+ ุจุดูƒู„ ู…ู†ุงุณุจ pressure should not deviate from this
380
+
381
+ 96
382
+ 00:08:06,180 --> 00:08:12,430
383
+ valueby more than by more than one percent ุงู„
384
+
385
+ 97
386
+ 00:08:12,430 --> 00:08:16,770
387
+ pressure ุงู‚ู„ุช ุนุดุงู† ุงู„ steam ุงู„ู„ูŠ ุจุชุดุชุบู„ ุตุญ ุงู„
388
+
389
+ 98
390
+ 00:08:16,770 --> 00:08:20,170
391
+ deviation ุงู„ุงู†ุญุฑุงู ู…ุด ู„ุงุฒู… ูŠูƒูˆู† ุงูƒุชุฑ ู…ู† ูˆุงุญุฏ ููŠ
392
+
393
+ 99
394
+ 00:08:20,170 --> 00:08:23,990
395
+ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุฃุฑุจุนุฉ ู…ูŠุฌุง ูŠุนู†ูŠ ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุนู† point
396
+
397
+ 100
398
+ 00:08:23,990 --> 00:08:33,020
399
+ of four ู…ูŠุฌุง ุณูˆุงุก ุจุงู„ู…ูˆุฌุจ ุงูˆ ุจุงู„ุณุงู„ุจinlet pressure
400
+
401
+ 101
402
+ 00:08:33,020 --> 00:08:35,840
403
+ was measured one hundred times during the test
404
+
405
+ 102
406
+ 00:08:35,840 --> 00:08:41,920
407
+ ุฎู„ุงู„ ูุชุฑุฉ ุงุชู†ุงุดุฑ ุณุงุนุฉ ุฃุฎุฏู†ุง ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุท ุฃุฎุฏู†ุง
408
+
409
+ 103
410
+ 00:08:41,920 --> 00:08:47,960
411
+ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฎู„ุงู„ ูุชุฑุฉ ุงุชู†ุงุดุฑ ุณุงุนุฉ ุทุจุนุง ุงู„ู‚ุฑุงุกุงุช
412
+
413
+ 104
414
+ 00:08:47,960 --> 00:08:52,320
415
+ ุงู„ู…ูŠุฉ ู…ุด ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุงุดูŠ ู‡ูŠุฎุชู„ููˆุง ุนู† ุจุนุถVarious
416
+
417
+ 105
418
+ 00:08:52,320 --> 00:08:55,800
419
+ factors cause the readings to fluctuate ููŠู‡ ุงู„ุนุฏูŠุฏ
420
+
421
+ 106
422
+ 00:08:55,800 --> 00:09:02,460
423
+ ู…ู† ุงู„ู…ุคุซุฑุงุช ุงู„ู„ูŠ ู‡ุชุฎู„ูŠ ุงู„ู‚ูŠู… ุชุฎุชู„ู ู‡ุชูƒูˆู† ู…ุด ู‡ุชูƒูˆู†
424
+
425
+ 107
426
+ 00:09:02,460 --> 00:09:08,260
427
+ ู†ูุณ ุงู„ุฃุดูŠุงุก ุงู„ resolution ุทุจุนุง ููŠู‡ ุนู†ุฏ pressure
428
+
429
+ 108
430
+ 00:09:08,260 --> 00:09:17,660
431
+ gauge ุนู†ุฏ pressure gauge ุจู‚ูŠุณ
432
+
433
+ 109
434
+ 00:09:17,660 --> 00:09:18,080
435
+ ุงู„ pressure
436
+
437
+ 110
438
+ 00:09:26,570 --> 00:09:32,070
439
+ ุงู„ุชุฏุฑูŠุฌ ุงู„ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„ุถุบุท ู„ุญุฏ ูˆุงุญุฏ ููŠ ุงู„ุฃู„ู point
440
+
441
+ 111
442
+ 00:09:32,070 --> 00:09:34,030
443
+ oh oh one ู…ูŠุฌุง ุจุณูƒุงู„
444
+
445
+ 112
446
+ 00:09:49,100 --> 00:09:54,980
447
+ the number of results M is the number of readings
448
+
449
+ 113
450
+ 00:09:54,980 --> 00:09:58,580
451
+ falling in an interval of plus or minus 0.05 ู„ู…ุง
452
+
453
+ 114
454
+ 00:09:58,580 --> 00:10:06,980
455
+ ุจุงุฎุฏ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู‡ุงูŠ interval ู‡ุงูŠ ู‚ูŠู…ุฉ ูˆุณุทุฉ ูˆููŠู‡
456
+
457
+ 115
458
+ 00:10:06,980 --> 00:10:13,620
459
+ ุจุฑูˆุญ ุนู„ู‰ ุดู…ุงู„ู‡ุง plus or minus ู‡ุฑูˆุญ minus 0.005
460
+
461
+ 116
462
+ 00:10:15,350 --> 00:10:23,010
463
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆููŠ ุงู„ู…ูˆุฌุฉ ุจุฑูˆุญ plus point o o five
464
+
465
+ 117
466
+ 00:10:23,010 --> 00:10:27,250
467
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ูˆู‡ุฐุง ุงู„ main value ูŠุนู†ูŠ ุจุญูƒูŠ ุงู„ู‚ุฑุงุกุงุช
468
+
469
+ 118
470
+ 00:10:27,250 --> 00:10:36,030
471
+ ู…ุซู„ุง ุญุฏ ู‡ู†ุง ู‡ุฐู‡ ุงู„ main value ุงุฑุจุนุฉ ุงู†ุง ุจุนุฏ
472
+
473
+ 119
474
+ 00:10:36,030 --> 00:10:42,510
475
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู† ุงุฑุจุน minus point o o five ู„ุงุฑุจุน
476
+
477
+ 120
478
+ 00:10:42,510 --> 00:10:53,780
479
+ point o ofive ุจุนุชุจุฑู‡ุง ุจุชู…ุซู„ู‡ุง ุงูŠุด ุงู„ุงุฑุจุนุฉ ุทูŠุจ
480
+
481
+ 121
482
+ 00:10:53,780 --> 00:11:00,620
483
+ ุงู„ู‚ุฑุงุกุฉ ุทู„ุนุช ุงู†ุฏูŠ ุงู†ุง ุญุงูƒูŠู‡ุง ุงู† ุงุฎุฏู†ุง ููŠ ุงู„ุงุทู†ุงุดุฑ
484
+
485
+ 122
486
+ 00:11:00,620 --> 00:11:07,760
487
+ ุณุงุนุฉ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุงู†ุฏูŠ ุงูˆู„ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ุงู†ุฏูŠ
488
+
489
+ 123
490
+ 00:11:07,760 --> 00:11:11,220
491
+ ุทู„ุนุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ุงูŠุด ู…ุนู†ุงู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
492
+
493
+ 124
494
+ 00:11:12,320 --> 00:11:17,320
495
+ ูŠุนู†ูŠ ุงู„ range ุงู„ range ุจุชุงุนู‡ุง ุชู„ุงุชุฉ point ุชุณุนุฉ
496
+
497
+ 125
498
+ 00:11:17,320 --> 00:11:24,820
499
+ ุณุจุนุฉ plus or minus point O O five ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„
500
+
501
+ 126
502
+ 00:11:24,820 --> 00:11:36,780
503
+ range ู‡ุชู…ุซู„ู‡ุง ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ู„ุชู„ุงุชุฉ
504
+
505
+ 127
506
+ 00:11:36,780 --> 00:11:45,260
507
+ point ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉูˆุงุถุญุฉ ูŠุนู†ูŠ
508
+
509
+ 128
510
+ 00:11:45,260 --> 00:11:52,700
511
+ ู‡ุฐู‡ ุชู…ุซู„ ุงู„ range ุจุชุงุนู‡ุง ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ
512
+
513
+ 129
514
+ 00:11:52,700 --> 00:11:57,740
515
+ ู„ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุงู„ู„ูŠ ููŠ ุงู„ู†ุต ุงูŠุด ู‚ูŠู…ุชู‡ุง
516
+
517
+ 130
518
+ 00:11:57,740 --> 00:12:07,540
519
+ ุงู„ู„ูŠ ู‡ูŠ ุชู„ุงุชุฉ ุจูŠู† ุชุณุนุฉ ุณุจุนุฉ ู„ูˆ ุฃุฎุฏู†ุง ู‡ุฐู‡ ู‡ุชูƒูˆู†
520
+
521
+ 131
522
+ 00:12:07,540 --> 00:12:08,820
523
+ ุจูŠู†
524
+
525
+ 132
526
+ 00:12:11,000 --> 00:12:19,860
527
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ู„ุงุฑุจุน point ุงูˆ ุงูˆ ุฎู…ุณุฉ
528
+
529
+ 133
530
+ 00:12:19,860 --> 00:12:23,180
531
+ ุงู„ููŠ
532
+
533
+ 134
534
+ 00:12:23,180 --> 00:12:29,340
535
+ ุงู„ู†ุต ุงูŠุด ุงุฑุจุน ู…ุนู†ุงุชู‡ ูƒู„ ูƒูŠุจ ู…ุชู…ุซู„ range ุงู†ุง ู…ุงุฎุฏ
536
+
537
+ 135
538
+ 00:12:29,340 --> 00:12:34,300
539
+ ุงู„ center value ุจุณ ู…ุงุฎุฏ ุงู„ center value ู…ุนู†ุงุชู‡ ุงู„
540
+
541
+ 136
542
+ 00:12:34,300 --> 00:12:36,940
543
+ range ุงู„ู„ูŠ ุงู„ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ
544
+
545
+ 137
546
+ 00:12:36,940 --> 00:12:42,200
547
+ ุณุจุนุฉุจุชุธู‡ุฑ ุนู†ุฏู‰ ู‚ุฑุงุกุฉ ุจุชู‚ูŠู… ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ range
548
+
549
+ 138
550
+ 00:12:42,200 --> 00:12:44,900
551
+ ุงู„ู„ู‰ ุงู„ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ
552
+
553
+ 139
554
+ 00:12:44,900 --> 00:12:50,540
555
+ ุชู…ุงู†ูŠุฉ zero ุชุทู„ุน ุชู„ุงุช ู‚ุฑุงุกุงุช ุงู„ range ุงู„ู„ู‰ ุงู„
556
+
557
+ 140
558
+ 00:12:50,540 --> 00:12:53,660
559
+ center value ุจุชุงุนุชู‡ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุตูุฑ
560
+
561
+ 141
562
+ 00:12:53,660 --> 00:13:01,500
563
+ ุจูŠุนุทูŠู†ุง ุงุชู†ุงุดุฑ ู‚ุฑุงุกุฉ ูˆ ู‡ูƒุฐุง ู…ุฌู…ูˆุนู‡ู… ุจูŠุทู„ุน ู…ูŠุฉ
564
+
565
+ 142
566
+ 00:13:01,500 --> 00:13:05,520
567
+ ู‚ุฑุงุกุฉ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ุงู†ุง ุฌู…ุนุชู‡ุง ู…ู†
568
+
569
+ 143
570
+ 00:13:05,520 --> 00:13:11,240
571
+ ุงู„ุชุฌุฑุจุฉ ุทุจุนุง ููŠ ุงู„ุจุฏุงูŠุฉุจูŠูƒูˆู† ุนู†ุฏู‰ 100 ู‚ุฑุงุกุฉุŒ ุจุนุฏูŠู†
572
+
573
+ 144
574
+ 00:13:11,240 --> 00:13:15,380
575
+ ุฃู†ุง ุจุตู†ูู‡ู… ุจุดูƒู„ ู‡ุฐุงุŒ ุจูŠูƒูˆู† ุนู†ุฏู‰ ุฅูŠุดุŸ 100 ู‚ุฑุงุกุฉุŒ
576
+
577
+ 145
578
+ 00:13:15,380 --> 00:13:18,500
579
+ ุจุนุฏูŠู† ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู† .. ุงู„ู„ูŠ ุจูŠู†
580
+
581
+ 146
582
+ 00:13:18,500 --> 00:13:21,340
583
+ ุชู„ุงุชุฉ ุจูˆู† ุชุณุนุฉ ุณุชุฉ ุฎู…ุณุฉ ูˆ ุชู„ุงุชุฉ ุจูˆู† ุชุณุนุฉ ุณุจุนุฉ
584
+
585
+ 147
586
+ 00:13:21,340 --> 00:13:27,600
587
+ ุฎู…ุณุฉุŒ ุจุนุชุจุฑู‡ู… ุฅูŠุดุŸ ู†ูุณ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจูŠู†
588
+
589
+ 148
590
+ 00:13:27,600 --> 00:13:30,840
591
+ ุชู„ุงุชุฉ ุชุณุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุฑุจุนุฉ ุงุฑุจุนุฉ ุฎู…ุณุฉุŒ ู†ูุณ
592
+
593
+ 149
594
+ 00:13:30,840 --> 00:13:31,680
595
+ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุจุนุฏู‡ู…
596
+
597
+ 150
598
+ 00:13:38,540 --> 00:13:44,200
599
+ ุทุจุนุง ููŠ ุงู„ุฃูˆู„ ุจุนู…ู„ plot ู„ู„ histogram plot ู„ู„
600
+
601
+ 151
602
+ 00:13:44,200 --> 00:13:48,740
603
+ histogram ุงุญู†ุง ู„ุฏูŠู†ุง ุจุฏูŠู… ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
604
+
605
+ 152
606
+ 00:13:48,740 --> 00:13:51,960
607
+ ู„ุญุธุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ
608
+
609
+ 153
610
+ 00:13:51,960 --> 00:13:57,140
611
+ ุงุฑุจุนุฉ ุจุฒูŠุฏ point one ูƒู„ ู…ุฑุฉ ุงุฑุจุน point one ุงุฑุจุน
612
+
613
+ 154
614
+ 00:13:57,140 --> 00:14:00,000
615
+ point two ุงุฑุจุน point three ุงุฑุจุน point four ุงุฑุจุน
616
+
617
+ 155
618
+ 00:14:00,000 --> 00:14:05,510
619
+ point five ู…ุนู†ุงุชู‡ ุจู‚ุณู… ุงู„ู…ุญู…ุฑ ุงู„ุฃููƒูŠุงู†ุง ุจุนุฏูŠ ู…ู†
620
+
621
+ 156
622
+ 00:14:05,510 --> 00:14:10,210
623
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ุชู„ุงุชุฉ
624
+
625
+ 157
626
+ 00:14:10,210 --> 00:14:15,170
627
+ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชุณุนุฉ ุงุฑุจุน ุงุฑุจุน
628
+
629
+ 158
630
+ 00:14:15,170 --> 00:14:18,690
631
+ point oh one ุงุฑุจุน point oh two ุงุฑุจุน point oh three
632
+
633
+ 159
634
+ 00:14:18,690 --> 00:14:22,130
635
+ ุงุฑุจุน point oh four ุงุฑุจุน point oh five ุงุฑุจุน point
636
+
637
+ 160
638
+ 00:14:22,130 --> 00:14:28,510
639
+ oh ุณุชุฉ ู‡ูŠู† ุจุญุท ุงูŠุด ุงู„ุชูƒุฑุงุฑ
640
+
641
+ 161
642
+ 00:14:32,100 --> 00:14:36,600
643
+ ุงุญู†ุง ู‡ู†ุง ุงู„ุชู„ุงุชุฉ ุจู‚ูˆู† ุชุณุนุฉ ุณุจุนุฉ ุจุชุชูƒุฑุฑ ุงูŠุด ู…ุฑุฉ
644
+
645
+ 162
646
+ 00:14:36,600 --> 00:14:44,440
647
+ ูˆุงุญุฏุฉ ุงู„ุชู„ุงุชุฉ ุจู‚ูˆู† ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุช ู…ุฑุงุช ู†ุฑุฌุน
648
+
649
+ 163
650
+ 00:14:44,440 --> 00:14:47,820
651
+ ุงู„ุชู„ุงุชุฉ
652
+
653
+ 164
654
+ 00:14:47,820 --> 00:14:52,520
655
+ ุจู‚ูˆู† ุชุณุนุฉ ุชุณุนุฉ ุงุชู†ุงุดุฑ
656
+
657
+ 165
658
+ 00:14:52,520 --> 00:14:58,980
659
+ ู…ุฑุฉ ุงู„ุงุฑุจุนุฉ
660
+
661
+ 166
662
+ 00:15:02,090 --> 00:15:08,410
663
+ ู‡ุฐู‡ ุงู„ุฃุฑุจุนุฉ ู‡ุฐู‡
664
+
665
+ 167
666
+ 00:15:08,410 --> 00:15:12,890
667
+ ุนุดุฑูŠู† ูˆ ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู† ูˆ ูƒุฐุง ููƒูˆุฑูŠุด ุญูŠูƒูˆู†ู‡ ุงูŠุด
668
+
669
+ 168
670
+ 00:15:12,890 --> 00:15:17,930
671
+ ู…ุณุชุทูŠู„ ูุจุทู„ุน
672
+
673
+ 169
674
+ 00:15:17,930 --> 00:15:25,450
675
+ ุดูƒู„ ุงู„ instagram ูˆุงุถุญ ู…ู† ุดูƒู„ ุชูˆุฒูŠุน ุงู„ุนู…ุฏุงู† ุจุงู„ู†ุธุฑ
676
+
677
+ 170
678
+ 00:15:25,450 --> 00:15:32,190
679
+ ุงู†ุจูŠู†ู…ู…ูƒู† ุงุญูƒูŠ ุงู† ู‡ูˆ ุชูˆุฒูŠุน ุทุจูŠุนูŠ normal
680
+
681
+ 171
682
+ 00:15:32,190 --> 00:15:37,170
683
+ distribution ุงู„ุงู†
684
+
685
+ 172
686
+ 00:15:37,170 --> 00:15:42,050
687
+ ุงู„ normal distribution ู‡ุฐุง ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ ุงูƒุณู„
688
+
689
+ 173
690
+ 00:15:42,050 --> 00:15:51,110
691
+ ุดูŠุช ุจุญุท ุงู„ุจูŠุงู†ุงุช ุนู„ู‰ ุงูƒุณู„ ุดูŠุช ุงูˆ
692
+
693
+ 174
694
+ 00:15:51,110 --> 00:15:53,090
695
+ ู…ู…ูƒู† ุชุณุชุฎุฏู… ุจุฑู†ุงู…ุฌ ุงู„ mini tab
696
+
697
+ 175
698
+ 00:16:05,030 --> 00:16:10,870
699
+ ุฃู†ุง ุญุงุท ุนู†ุฏู‡ูŠู† ุงู„ pressure ุจุงู„ ู…ูŠุฌุงุจุงุณูƒุงู„ ุจุงุฏูŠ ู…ู†
700
+
701
+ 176
702
+ 00:16:10,870 --> 00:16:14,590
703
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ ู„ุญุฏ ุงุฑุจุนุฉ point ุงูˆ ุฎู…ุณุฉ
704
+
705
+ 177
706
+ 00:16:14,590 --> 00:16:21,370
707
+ ุจุนุฏูŠู† number of results M ุงู„ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ
708
+
709
+ 178
710
+ 00:16:21,370 --> 00:16:25,790
711
+ ู…ุฑุฉ ูˆุงุญุฏุฉ ุงู„ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุชู„ุงุช ู…ุฑุงุช
712
+
713
+ 179
714
+ 00:16:25,790 --> 00:16:29,770
715
+ ุงู„ุงุฑุจุนุฉ ุฎู…ุณุฉ ุนุดุฑ ู…ุฑุฉ ูˆุงุญุฏุฉ ูƒุฐุง ุจุนุฏูŠู† ุจุถุฑุจ ูƒู„ ู‚ุฑุงุกุฉ
716
+
717
+ 180
718
+ 00:16:29,770 --> 00:16:35,210
719
+ ูƒู„ ู‚ุฑุงุกุฉ ุจุชู‚ุฑุงู‡ุง P ููŠ MูŠุนู†ูŠ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุชุฉ
720
+
721
+ 181
722
+ 00:16:35,210 --> 00:16:38,990
723
+ ููŠ ูˆุงุญุฏ ูˆ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ููŠ ุชู„ุงุชุฉ ูˆ ุชู„ุงุชุฉ
724
+
725
+ 182
726
+ 00:16:38,990 --> 00:16:42,890
727
+ point ุชุณุนุฉ ุชุณุนุฉ ููŠ ุงุชู†ุงุด ูˆุงุฑุจุน point ุงูˆ ุงูˆ ููŠ ุฎู…ุณ
728
+
729
+ 183
730
+ 00:16:42,890 --> 00:16:48,910
731
+ ุนุดุฑูŠู† ุจุชุนุทูŠู†ูŠ ุงู„ุนู…ูˆุฏ ู‡ุฐุง ุชูƒุฑุงุฑ ุนุดุงู† ุงูŠุด ุงู†ุง ุจุฏูŠ
732
+
733
+ 184
734
+ 00:16:48,910 --> 00:16:54,510
735
+ ุงุฌูŠุจุจู†ูุนุด ุงุฌู…ู„ ุนุดุงู† ุงูˆุฌุฏ ุงู„ู…ูŠู†ุŒ ุจู†ูุนุด ุงุฌู…ู„
736
+
737
+ 185
738
+ 00:16:54,510 --> 00:16:59,250
739
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ ูˆ ุงู‚ุณู…ู‡ู… ู…ุซู„ุง ุนู†ุฏู‡ูŠู† ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ
740
+
741
+ 186
742
+ 00:16:59,250 --> 00:17:03,710
743
+ ุชู„ุงุชุฉุŒ ุงุฑุจุนุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุชู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุจู†ูุนุด
744
+
745
+ 187
746
+ 00:17:03,710 --> 00:17:08,130
747
+ ุงุฌู…ู„ ู‡ุฏูˆู„ ูˆ ุงู‚ุณู… ุนู„ู‰ ุชุณุนุฉ ุนุดุงู† ุงุฌูŠุจ ุงู„ู…ูŠู†ุŒ ู…ุธุจูˆุทุŸ
748
+
749
+ 188
750
+ 00:17:08,130 --> 00:17:11,270
751
+ ู„ุฃู† ู‡ุงุฏ ู…ุซู„ุง ุงุชูƒุฑุฑุช ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุจุณ ู‡ุงุฏ ุงุชูƒุฑุฑุช ุชู„ุช
752
+
753
+ 189
754
+ 00:17:11,270 --> 00:17:16,990
755
+ ู…ุฑุงุชุŒ ู‡ุงุฏ ุงุชูƒุฑุฑุช ุงุชู†ุงุดุฑ ู…ุฑุฉุŒ ุจู…ุนู†ู‰ ุงุชูˆ ุงู„ PPM ุจู‚ู‰
756
+
757
+ 190
758
+ 00:17:16,990 --> 00:17:22,080
759
+ ุงุฌู…ุนู‡ู…ุจุฌูŠู„ูŠ ุงูŠุด ุงู„ sum ู„ู„ multiplication ู„ู„ PPM
760
+
761
+ 191
762
+ 00:17:22,080 --> 00:17:26,140
763
+ ุงู„ู„ูŠ ู‡ูŠ ุจุชุทู„ุน ุงุฑุจุนู…ูŠุฉ point ุณุจุนุฉ ุณุจุนุฉ ูˆ ู…ู†ู‡ุง ุฏูŠ
764
+
765
+ 192
766
+ 00:17:26,140 --> 00:17:28,960
767
+ ุจุญุณุจ ุงูŠุด ุงู„ mean pressure ุงู„ู„ูŠ ู‡ูˆ ุงุฑุจุนู…ูŠุฉ ุงูˆ ุงูˆ
768
+
769
+ 193
770
+ 00:17:28,960 --> 00:17:33,680
771
+ ุณุจุนุฉ ุณุจุนุฉ ุนู„ู‰ ุงูŠุด ุนู„ู‰ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฎุชู…ูŠุฉ ู‚ุฑุงุกุฉ ู‡ุฏูˆู„
772
+
773
+ 194
774
+ 00:17:33,680 --> 00:17:41,300
775
+ ู…ุฌู…ูˆุนู‡ุง ูƒู… ู…ูŠุฉ ุงู†ุง ู‚ุงุณู… ูˆูŠู† ุนู„ู‰ ู…ูŠุฉ ุทูŠุจ
776
+
777
+ 195
778
+ 00:17:43,160 --> 00:17:46,720
779
+ ูˆ ุจุนุฏูŠู† ุจุญุณุจ ู‡ุฐุง ุงู„ main value ุงู„ deviation .. ุงู„
780
+
781
+ 196
782
+ 00:17:46,720 --> 00:17:52,440
783
+ deviation ู„ู„ุญ๏ฟฝ๏ฟฝุงู ุจูŠุณุงูˆูŠ ูƒู„ ู‚ุฑุงุกุฉ ู…ู† ู‡ุฏูˆู„ .. ูƒู„
784
+
785
+ 197
786
+ 00:17:52,440 --> 00:17:56,940
787
+ ู‚ุฑุงุกุฉ ู…ู† ู‡ุฏูˆู„ ู†ุงู‚ุต ุงู„ main valueูŠุนู†ูŠ ุงู„ mean value
788
+
789
+ 198
790
+ 00:17:56,940 --> 00:17:59,580
791
+ ุนู†ุฏูŠ ุงุฑุจุนุฉ point ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ุทู„ุนุช ูŠุนู†ูŠ ู‡ุฏุง ู‡ุชูƒูˆู†
792
+
793
+ 199
794
+ 00:17:59,580 --> 00:18:03,000
795
+ ุชู„ุงุชุฉ point ุชุณุนุฉ ุณุจุนุฉ minus ุงุฑุจุนุฉ point ุงูˆ ุงูˆ
796
+
797
+ 200
798
+ 00:18:03,000 --> 00:18:06,220
799
+ ุชู…ุงู†ูŠุฉ ุจุชุทู„ุน minus point ุงูˆ ุชู„ุงุชุฉ ุชู…ุงู†ูŠุฉ ู‡ุฐู‡
800
+
801
+ 201
802
+ 00:18:06,220 --> 00:18:10,260
803
+ ุงู„ู‚ุฑุงูŠุฉ ุชู„ุงุชุฉ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ minus ุงุฑุจุนุฉ point
804
+
805
+ 202
806
+ 00:18:10,260 --> 00:18:15,380
807
+ ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ู‡ุฐู‡ ุงู„ู‚ุฑุงูŠุฉ ุงุฑุจุนุฉ minus ุงุฑุจุนุฉ point
808
+
809
+ 203
810
+ 00:18:15,380 --> 00:18:22,020
811
+ ุงูˆ ุงูˆ ุชู…ุงู†ูŠุฉ ูุงู†ุง ุจูˆุฌุฏ ุงู„ deviation ุงู‡ ูุถู„ ููŠ ุณุคุงู„
812
+
813
+ 204
814
+ 00:18:22,020 --> 00:18:29,440
815
+ ุจูˆุฌุฏ ุงู„ deviationุงู„ุงู†ุญุฑุงู ุนู† ุงู„ main value ุงู„ุนู…ูˆุฏ
816
+
817
+ 205
818
+ 00:18:29,440 --> 00:18:35,400
819
+ ู‡ุฐุง ุจุนุฏูŠู† I square ุจุฑุจุน ุงู„ deviation ูŠุนู†ูŠ point O
820
+
821
+ 206
822
+ 00:18:35,400 --> 00:18:41,420
823
+ ุชู„ุงุชุฉ ุชู…ุงู†ูŠุฉ ุชุฑุจูŠุนุฉ ู‡ูŠุช ุงู†ุญุฑุงูู‡ุง ู„ุชูƒุฑุฑ ู…ุฑุฉ ูˆุงุญุฏุฉ
824
+
825
+ 207
826
+ 00:18:41,420 --> 00:18:46,380
827
+ ู‡ุญูƒูŠ M ููŠ D ุชุฑุจูŠุนุฉ ุนู†ุฏู‡ุง ุงู„ุชูƒุฑุฑ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ูˆุงุญุฏ ููŠ
828
+
829
+ 208
830
+ 00:18:46,380 --> 00:18:48,760
831
+ D ุชุฑุจูŠุนุฉ ูˆ ู‡ุชุนุทูŠู†ุง ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ deviation
832
+
833
+ 209
834
+ 00:18:48,760 --> 00:18:53,570
835
+ ุชุฑุจูŠุน ุงุชูƒุฑุฑ ุงูƒุชุฑ ู…ุฑุฉุชู„ุงุชุฉ ูŠุนู†ูŠ ุชู„ุงุชุฉ ููŠ ู‡ุฐู‡
836
+
837
+ 210
838
+ 00:18:53,570 --> 00:18:56,630
839
+ ุจุชุนุทูŠู†ุง ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ deviation ุชุฑุจูŠุน ุงุชูƒุฑุฑ
840
+
841
+ 211
842
+ 00:18:56,630 --> 00:18:59,770
843
+ ุงุชู†ุงุดุฑ ู…ุฑุฉ ูŠุนู†ูŠ ุงุชู†ุงุดุฑ ููŠ ู‡ุฐู‡ ู‡ุฐู‡ ุงู„ deviation
844
+
845
+ 212
846
+ 00:18:59,770 --> 00:19:02,130
847
+ ุงุชูƒุฑุฑ ุฎู…ุณ ุนุดุฑูŠู† ู…ุฑุฉ ุฎู…ุณ ุนุดุฑูŠู† ููŠ ู‡ุฐู‡ ุจุชุนุทูŠู†ุง ู‡ุฐุง
848
+
849
+ 213
850
+ 00:19:02,130 --> 00:19:06,230
851
+ ุงู„ุฑู‚ู… ุจุนุฏูŠู† ุจูˆุฌุฏ ุงู„ summation for all deviation
852
+
853
+ 214
854
+ 00:19:06,230 --> 00:19:11,730
855
+ squared summation for all deviation squared ุจุนุฏูŠู†
856
+
857
+ 215
858
+ 00:19:11,730 --> 00:19:15,970
859
+ ุจุญุณุจ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ุฑู‚ู… ู…ุฌู…ูˆุน
860
+
861
+ 216
862
+ 00:19:15,970 --> 00:19:21,390
863
+ ุงู„ deviations ุชุฑุจูŠุนุนู„ู‰ N ู…ู‚ุต ูˆุงุญุฏ ู„ูŠุด N ู…ู‚ุต ูˆุงุญุฏ
864
+
865
+ 217
866
+ 00:19:21,390 --> 00:19:25,370
867
+ ุงู„ sample ูŠุนู†ูŠ ู‡ู‚ุณู… ุนู„ู‰ ุชุณุนุฉ ูˆุชุณุนูŠู† ู„ูˆ ุงู†ุง ู„ูˆ ู‚ุณู…ุช
868
+
869
+ 218
870
+ 00:19:25,370 --> 00:19:29,650
871
+ ุงู†ุง ู‡ู†ุง point O 186 ุนู„ู‰ ุชุณุนุฉ ูˆุชุณุนูŠู† ุจุชุนุทูŠู†ูŠ ุงูŠุด
872
+
873
+ 219
874
+ 00:19:29,650 --> 00:19:35,970
875
+ point O14 megapascal ูŠุนู†ูŠ ุงู†ุง ุนุฑูุช ุงู†ุง ุงูŠุด ุงู„
876
+
877
+ 220
878
+ 00:19:35,970 --> 00:19:41,930
879
+ standard deviation ูˆุงุถุญุฉ ูŠุนู†ูŠ ุงู„ standard
880
+
881
+ 221
882
+ 00:19:41,930 --> 00:19:43,750
883
+ deviation ุงู„ main
884
+
885
+ 222
886
+ 00:19:53,080 --> 00:19:57,420
887
+ ุงู„ู€ X bar ุจูŠุณุงูˆูŠ
888
+
889
+ 223
890
+ 00:19:57,420 --> 00:20:03,720
891
+ ุงู„ summation for
892
+
893
+ 224
894
+ 00:20:03,720 --> 00:20:11,800
895
+ all X ุนู„ู‰
896
+
897
+ 225
898
+ 00:20:11,800 --> 00:20:18,300
899
+ N ูˆุงู„ู€
900
+
901
+ 226
902
+ 00:20:18,300 --> 00:20:30,950
903
+ deviationI ุจุณูˆุฉ XI minus X bar ูˆ
904
+
905
+ 227
906
+ 00:20:30,950 --> 00:20:38,250
907
+ ุงู„ deviation I ุชุฑุจูŠุฉ ุงู„ู„ูŠ ู‡ูŠ XI minus X bar ูƒู„
908
+
909
+ 228
910
+ 00:20:38,250 --> 00:20:42,770
911
+ ุชุฑุจูŠุฉ ุงู„ standard deviation ุงู„ู„ูŠ ู‡ูˆ SX ู„ุงู† ุจุญูƒูŠ ุนู†
912
+
913
+ 229
914
+ 00:20:42,770 --> 00:20:45,750
915
+ ุงู„ sample ุจุณูˆุฉ ุฌุฒุฑ ุงู„ุชุฑุจูŠุฉ
916
+
917
+ 230
918
+ 00:20:49,530 --> 00:20:59,110
919
+ ุงู„ุตู…ู…ุดู† ู„ DI ุชุฑุจูŠุน ู…ู† I ู…ู† ูˆุงุญุฏ ู„ู…ูŠุฉ ุนู„ู‰ N ู†ุงู‚ุต
920
+
921
+ 231
922
+ 00:20:59,110 --> 00:21:00,910
923
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
924
+
925
+ 232
926
+ 00:21:00,910 --> 00:21:01,590
927
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
928
+
929
+ 233
930
+ 00:21:01,590 --> 00:21:01,710
931
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
932
+
933
+ 234
934
+ 00:21:01,710 --> 00:21:01,970
935
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
936
+
937
+ 235
938
+ 00:21:01,970 --> 00:21:06,650
939
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
940
+
941
+ 236
942
+ 00:21:06,650 --> 00:21:10,150
943
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
944
+
945
+ 237
946
+ 00:21:10,150 --> 00:21:12,210
947
+ ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต ูˆุงุญุฏ N ู†ุงู‚ุต
948
+
949
+ 238
950
+ 00:21:12,210 --> 00:21:12,470
951
+ ูˆุงุญุฏ
952
+
953
+ 239
954
+ 00:21:15,770 --> 00:21:24,610
955
+ ูˆ ุจุญุณุจ ุงู„ standard deviation ุงู„ุญุฑุงู ุงู„ู…ูŠุงุฑูŠุฉ ุทูŠุจ
956
+
957
+ 240
958
+ 00:21:24,610 --> 00:21:31,010
959
+ ูุงุญู†ุง
960
+
961
+ 241
962
+ 00:21:31,010 --> 00:21:36,410
963
+ ู‡ุฐุง ุงู„ุฌุฏูˆู„ ุงู†ุง ู…ู† ุงู„ Excel ุจุงุฎุฏู‡ ูุญุณุจุช ุงู„ mini
964
+
965
+ 242
966
+ 00:21:36,410 --> 00:21:41,490
967
+ pressure 4.008 ู…ูŠุฌุง ุจุณูƒุงู„ ูˆ ุงู„ standard deviation
968
+
969
+ 243
970
+ 00:21:41,490 --> 00:21:49,070
971
+ 0.014 ู…ูŠุฌุง ุจุณูƒุงู„ุงู„ู€ interval containing ุงู„ูุชุฑุฉ
972
+
973
+ 244
974
+ 00:21:49,070 --> 00:21:53,990
975
+ ุงู„ู„ู‰ ุจุชุญุชูˆู‰ ุนู„ู‰ 95% ู…ู† ุงู„ pressure readings ู…ู†
976
+
977
+ 245
978
+ 00:21:53,990 --> 00:22:03,730
979
+ ู‚ุฑุงุกุงุช ุงู„ุถุบุท ู‡ู‰ ู‡ุชูƒูˆู† ู…ูŠูˆ ุฃูˆ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ูุชุฑุฉ
980
+
981
+ 246
982
+ 00:22:03,730 --> 00:22:10,090
983
+ ุงู„ู„ู‰ ุจุชุบุทูŠ 95% ู…ู† ุงู„ู‚ุฑุงุกุงุช ู‡ุชูƒูˆู† X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
984
+
985
+ 247
986
+ 00:22:10,090 --> 00:22:13,790
987
+ 1.96SX
988
+
989
+ 248
990
+ 00:22:15,470 --> 00:22:20,870
991
+ ุงู„ู€ x bar ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ point o o ุชู…ุงู†ูŠุฉ ุฒุงุฏ ุงูˆ
992
+
993
+ 249
994
+ 00:22:20,870 --> 00:22:24,770
995
+ ู†ุงู‚ุต ูˆุงุญุฏ point ุชุณุนุฉ ุณุชุฉ ุงู„ standard division ุฏูŠ
996
+
997
+ 250
998
+ 00:22:24,770 --> 00:22:31,950
999
+ ุฃูƒู… ุญุณุจู†ุงู‡ุง ุงุญู†ุง point o ูˆุงุญุฏ ุงุฑุจุนุฉ ูŠุนู†ูŠ ู‡ูƒูˆู† four
1000
+
1001
+ 251
1002
+ 00:22:31,950 --> 00:22:37,950
1003
+ point o o ุชู…ุงู†ูŠุฉ plus or minus ุงู„ู„ูŠ ู‡ูŠ point o
1004
+
1005
+ 252
1006
+ 00:22:37,950 --> 00:22:42,690
1007
+ ุงุชู†ูŠู† ุณุจุนุฉ ู…ูŠุฌุงุจุณูƒุช
1008
+
1009
+ 253
1010
+ 00:22:45,570 --> 00:22:47,710
1011
+ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ูƒู…ุจูŠูˆุชุณ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ู…ุน
1012
+
1013
+ 254
1014
+ 00:22:47,710 --> 00:22:50,650
1015
+ ุงู„ู†ุงุชูˆ ุฎู…ุณ ุณู†ุฉ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุฌุงูŠุฉ ููŠ ุงู„
1016
+
1017
+ 255
1018
+ 00:22:50,650 --> 00:22:56,010
1019
+ range ู‡ุฐุง one
1020
+
1021
+ 256
1022
+ 00:22:56,010 --> 00:22:59,430
1023
+ objective of the pressure test ูƒุงู† ุฃุญุฏ ุงู„ุฃู‡ุฏุงู ู…ู†
1024
+
1025
+ 257
1026
+ 00:22:59,430 --> 00:23:04,070
1027
+ ูุญุต ุงู„ุถุบุท was to verify .. was to verify .. ู†ุชุฃูƒุฏ
1028
+
1029
+ 258
1030
+ 00:23:04,070 --> 00:23:09,070
1031
+ ุฃู† ุงู„ pressure ู…ุงูŠูƒูˆู†ุด
1032
+
1033
+ 259
1034
+ 00:23:09,070 --> 00:23:11,870
1035
+ ู„ุญุฑููŠ ุงุฒูŠุฏ ุนู† ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„
1036
+
1037
+ 260
1038
+ 00:23:11,870 --> 00:23:13,730
1039
+ pressure ู…ู† ู…ูŠู† ุงู„ pressure ุงูƒุงู…ุŸ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1040
+
1041
+ 261
1042
+ 00:23:17,620 --> 00:23:25,160
1043
+ of four mega pascal ุจุงู„ุณุงุนุฉ point O four mega
1044
+
1045
+ 262
1046
+ 00:23:25,160 --> 00:23:29,520
1047
+ pascal ุงู„
1048
+
1049
+ 263
1050
+ 00:23:29,520 --> 00:23:34,820
1051
+ point O four mega pascal ุงูƒู… standard deviation ู„ูˆ
1052
+
1053
+ 264
1054
+ 00:23:34,820 --> 00:23:36,960
1055
+ ู‚ุณู…ุชู‡ุง ุงู„ standard deviation ู‡ูˆ ู‚ูŠู…ุชู‡ ุงูƒู… point O
1056
+
1057
+ 265
1058
+ 00:23:36,960 --> 00:23:46,960
1059
+ ูˆุงุญุฏ ุงุฑุจุนุฉ ุตุญ ู‚ูŠู…ุชู‡ point O ูˆุงุญุฏ ุงุฑุจุนุฉุจุทู„ุน ุงุชู†ูŠู†
1060
+
1061
+ 266
1062
+ 00:23:46,960 --> 00:23:53,540
1063
+ ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ุณูŠุฌู…ุง ุงูˆ ุงูˆ ู‚ูŠู…ุฉ ุงู„ point offer
1064
+
1065
+ 267
1066
+ 00:23:53,540 --> 00:23:58,400
1067
+ point offer ู…ูŠุฌุง ุจุงุณูƒุงู„ ุชุนุงุฏู„ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ
1068
+
1069
+ 268
1070
+ 00:23:58,400 --> 00:24:02,980
1071
+ ุณูŠุฌู…ุง ุงูˆ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ู…ุถุฑูˆู ููŠ ุงู„ standard
1072
+
1073
+ 269
1074
+ 00:24:02,980 --> 00:24:07,660
1075
+ deviation for
1076
+
1077
+ 270
1078
+ 00:24:07,660 --> 00:24:12,750
1079
+ a Gaussian distributionthe probability of a 2.86
1080
+
1081
+ 271
1082
+ 00:24:12,750 --> 00:24:17,290
1083
+ sigma function is about one chance in 240 ูƒูŠู
1084
+
1085
+ 272
1086
+ 00:24:17,290 --> 00:24:29,930
1087
+ ู‡ู†ุนุฑูุŸ ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ tables ุงุญู†ุง
1088
+
1089
+ 273
1090
+ 00:24:29,930 --> 00:24:35,310
1091
+ ุนูƒูŠู†ุง .. ุจู†ุฑุฌุน ุนู„ู‰ ุงู„ slide ุจูŠู†ุง ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1092
+
1093
+ 274
1094
+ 00:24:35,310 --> 00:24:39,450
1095
+ ุณุชุฉ sigma ุงู„ู„ูŠ ู‡ูŠ ุงู„ Z ุงู„ Z ุชุณุงูˆูŠ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1096
+
1097
+ 275
1098
+ 00:24:41,070 --> 00:24:47,330
1099
+ ูุจูŠุฌูŠ ู„ู„ table ู‡ู†ุง ุงุชู†ูŠู†
1100
+
1101
+ 276
1102
+ 00:24:47,330 --> 00:24:51,510
1103
+ ู„ุงุญุธุฉ ู‡ู†ุง ุณุชุฉ ูˆ ุนุดุฑุฉ ุงู„ุนู…ูˆุฏ ุงู„ุฑุงุจุน ู…ู† ุงู„ูŠู…ูŠู† ุงุชู†ูŠู†
1104
+
1105
+ 277
1106
+ 00:24:51,510 --> 00:25:06,770
1107
+ ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ ู„ูŠู‡ ู‡ุฐู‡ ุงู„ุงุชู†ูŠู†
1108
+
1109
+ 278
1110
+ 00:25:06,770 --> 00:25:07,490
1111
+ ุจูˆู† ุชู…ุงู†ูŠุฉ
1112
+
1113
+ 279
1114
+ 00:25:10,640 --> 00:25:28,200
1115
+ ู‡ุฐุง ุงู„ู‚ูŠู…ุฉ ู‡ุฐุง ุนู„ู‰
1116
+
1117
+ 280
1118
+ 00:25:28,200 --> 00:25:28,840
1119
+ ุงู„ distribution
1120
+
1121
+ 281
1122
+ 00:25:44,130 --> 00:25:52,230
1123
+ ุงู„ู€ Z ุนู†ุฏู‰ 2.86
1124
+
1125
+ 282
1126
+ 00:25:52,230 --> 00:25:59,910
1127
+ ุณุฌู†ู‡ ุงู„ุฌุฏุฑ ู‡ุฐุง ุงูŠุด ุจูŠุนุทูŠู†ุง ุจูŠุนุทูŠู†ุง ุงู„ area ู‡ุฐู‡ ุงู„
1128
+
1129
+ 283
1130
+ 00:25:59,910 --> 00:26:03,330
1131
+ area ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
1132
+
1133
+ 284
1134
+ 00:26:12,380 --> 00:26:20,780
1135
+ ุทุจุนุง ู‡ุฐู‡ Zero ู‡ุฐู‡ Z ู‡ู†ุง Z ุจุงู„ุซุงู„ุซ Z ุจุงู„ุซุงู„ุซ ุซุงู„ุซ
1136
+
1137
+ 285
1138
+ 00:26:20,780 --> 00:26:23,780
1139
+ ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ Sigma ู…ุนู†ุงู‡ ุงู† ุงู†ุง ุจุฏูŠ ูƒู„ ุงู„
1140
+
1141
+ 286
1142
+ 00:26:23,780 --> 00:26:29,400
1143
+ total area ู‡ุฐู‡ ู…ุนู†ุงู‡
1144
+
1145
+ 287
1146
+ 00:26:29,400 --> 00:26:32,640
1147
+ ุงู† ุงู„ total area ู‡ุชูƒูˆู† ู…ู† minus ุงุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ
1148
+
1149
+ 288
1150
+ 00:26:32,640 --> 00:26:37,300
1151
+ ุณุชุฉ Sigma ู„ุชู†ูŠู† ุจูˆู† ุชู…ุงู†ูŠุฉ ุณุชุฉ Sigma ู…ุนู†ุงู‡ ุงู„
1152
+
1153
+ 289
1154
+ 00:26:37,300 --> 00:26:38,320
1155
+ total area ูƒู„ู‡ุง
1156
+
1157
+ 290
1158
+ 00:26:41,120 --> 00:26:48,700
1159
+ ุงู„ู„ูŠ ู‡ูŠ probability ุงู† ูƒู„ reading ุชุชุฑูˆุญ ุงู†ู‡ุง z ุจูŠู†
1160
+
1161
+ 291
1162
+ 00:26:48,700 --> 00:26:58,340
1163
+ minus 2.86 sigma to 2.86 sigma ุจุชุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ
1164
+
1165
+ 292
1166
+ 00:26:58,340 --> 00:27:02,960
1167
+ point 4 9 7
1168
+
1169
+ 293
1170
+ 00:27:02,960 --> 00:27:10,410
1171
+ 9ูู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงุชู†ูŠู† ูู‰ ุชุณุนุฉ ุชู…ุงู†ุชุงุด ุงุชู†ูŠู†
1172
+
1173
+ 294
1174
+ 00:27:10,410 --> 00:27:15,810
1175
+ ูู‰ ุณุจุนุฉ ุฎู…ุณุชุงุด ุงุชู†ูŠู† ูู‰ ุชุณุนุฉ ุชุณุนุชุงุด ุงุชู†ูŠู† ูู‰ ุฃุฑุจุนุฉ
1176
+
1177
+ 295
1178
+ 00:27:15,810 --> 00:27:23,210
1179
+ ุจุชุณุนุฉ ูŠุนู†ูŠ
1180
+
1181
+ 296
1182
+ 00:27:23,210 --> 00:27:28,590
1183
+ ู…ู† ูƒู„ ุนุดุฑ ุชู„ุงู ู‚ุฑุงุกุฉ ุจูŠูƒูˆู† ุงู†ุช ุชุณุนุฉ ุชู„ุงู ุชุณุนูŠู†
1184
+
1185
+ 297
1186
+ 00:27:28,590 --> 00:27:32,030
1187
+ ุงุชู†ูŠู† ูˆุฎู…ุณูŠู† ู‚ุฑุงุกุฉ within range ู…ู† ูƒู„ ุนุดุฑ ุชู„ุงู
1188
+
1189
+ 298
1190
+ 00:27:32,030 --> 00:27:36,130
1191
+ ู‚ุฑุงุกุฉุจูŠูƒูˆู† ุนู†ุฏู‰ ุชุณุนุฉ ุชู„ุงู ุณู…ูŠุฉ ุชู…ุงู†ูŠุฉ ุฎู…ุณูŠุฉ
1192
+
1193
+ 299
1194
+ 00:27:36,130 --> 00:27:41,830
1195
+ ุงู†ู‚ุฑุงุกุฉ within range out of range ู‡ูŠูƒูˆู† ุงู„ู„ูŠ ู‡ูŠ
1196
+
1197
+ 300
1198
+ 00:27:41,830 --> 00:27:53,450
1199
+ ุนุดุฑ ุชู„ุงู ุงูˆ ู†ุญูƒูŠ ูˆุงุญุฏ ู†ุญูƒูŠ out of range so
1200
+
1201
+ 301
1202
+ 00:27:53,450 --> 00:27:59,650
1203
+ ูˆุงุญุฏ minus point ุชุณุนุฉ ุชุณุนุฉ ุงุฑุจุน ุชู…ุงู†ูŠุฉ ุฎู…ุณุฉ ู‡ูŠูƒูˆู†
1204
+
1205
+ 302
1206
+ 00:27:59,650 --> 00:28:02,970
1207
+ ุงู„ุณุงูˆูŠ point
1208
+
1209
+ 303
1210
+ 00:28:04,780 --> 00:28:11,800
1211
+ o o four ุงุฑุจุนุฉ
1212
+
1213
+ 304
1214
+ 00:28:11,800 --> 00:28:17,500
1215
+ ุงุชู†ูŠู† ุงุฑุจุนุฉ ุงุชู†ูŠู† ู„ู…ุง
1216
+
1217
+ 305
1218
+ 00:28:17,500 --> 00:28:22,640
1219
+ ุงู‚ุณู… ูˆุงุญุฏ ุนู„ู‰ point
1220
+
1221
+ 306
1222
+ 00:28:22,640 --> 00:28:28,780
1223
+ o o ุงุฑุจุนุฉ ุงุชู†ูŠู† ุชุทู„ุน ุชู‚ุฑูŠุจุง ุงุชู†ูŠู† ูˆ ุชู…ุงู†ูŠุฉ ูˆ
1224
+
1225
+ 307
1226
+ 00:28:28,780 --> 00:28:34,730
1227
+ ุชู„ุงุชูŠู†ู…ุชูŠู† ูˆ ุงุฑุจุนูŠู† ูŠุนู†ูŠ ู…ู† ูƒู„ ู…ุชูŠู† ูˆ ุงุฑุจุนูŠู† ู‚ุฑุงุกุฉ
1228
+
1229
+ 308
1230
+ 00:28:34,730 --> 00:28:39,290
1231
+ ุชู‚ุฑูŠุจุง ุจุชุทู„ุน ูˆุงุญุฏุฉ out of range ู…ู† ูƒู„ ู…ุชูŠู† ูˆ
1232
+
1233
+ 309
1234
+ 00:28:39,290 --> 00:28:45,090
1235
+ ุงุฑุจุนูŠู† ู‚ุฑุงุกุฉ ุชุทู„ุน ูˆุงุญุฏุฉ out of range ุงูˆ ู†ู‚ุทุฉ ุดุฏุฉ
1236
+
1237
+ 310
1238
+ 00:28:45,090 --> 00:28:49,870
1239
+ ุทุจู‚ุง ู„ู„ confidence interval ุงู„ู„ูŠ ุงู†ุง ุงุฎุชุงุฑุชู‡ุง
1240
+
1241
+ 311
1242
+ 00:28:49,870 --> 00:28:54,410
1243
+ ู…ุนู†ุงุชู‡ ุงู† ุนู†ุฏูŠ ุงุฐุง
1244
+
1245
+ 312
1246
+ 00:28:54,410 --> 00:28:57,430
1247
+ ูƒุงู† ุงู„ distribution Gaussian ุงูˆ ู†ูˆุฑูˆ distribution
1248
+
1249
+ 313
1250
+ 00:28:57,430 --> 00:28:59,190
1251
+ ุชู‚ุฑูŠุจุง
1252
+
1253
+ 314
1254
+ 00:29:02,650 --> 00:29:06,330
1255
+ ูู‰ ุนู†ุฏู‰ ูˆุงุญุฏุฉ ู…ู† ุงู„ู…ุงุฆุชูŠู† ูˆุงุฑุจุนูŠู† ู‡ุชูƒูˆู† out of
1256
+
1257
+ 315
1258
+ 00:29:06,330 --> 00:29:15,690
1259
+ range ุงู„ confidence ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุชุณุนุฉ ูˆ ุชุณุนูŠู† ุชุณุนุฉ
1260
+
1261
+ 316
1262
+ 00:29:15,690 --> 00:29:19,010
1263
+ ูˆ ุชุณุนูŠู† ุจู‚ู‰ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
1264
+
1265
+ 317
1266
+ 00:29:40,600 --> 00:29:50,880
1267
+ ุทูŠุจ ุงู„ู„ูŠ ุงู†ุง ู‡ูƒูˆูŠู†ู‡ ุญุงู„ุชูŠู† ู‡ูƒูˆูŠู†ู‡ large samples ูˆ
1268
+
1269
+ 318
1270
+ 00:29:50,880 --> 00:29:56,140
1271
+ small samples ุงุฐุง ุนุฏุฏ ู‚ุฑุงุกุงุช ุงู„ sample ุงูƒุชุฑ ู…ู†
1272
+
1273
+ 319
1274
+ 00:29:56,140 --> 00:30:00,420
1275
+ ุชู„ุงุชูŠู† ู‡ุงุนุชุจุฑู‡ุง large ุงูƒุจุฑ ุณูˆุงุก ุชู„ุงุชูŠู† ุงุฐุง ุชุญุช
1276
+
1277
+ 320
1278
+ 00:30:00,420 --> 00:30:03,000
1279
+ ุงู„ุชู„ุงุชูŠู† ู‡ุงุนุชุจุฑู‡ุง small
1280
+
1281
+ 321
1282
+ 00:30:08,930 --> 00:30:14,330
1283
+ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ูˆุฑุฌุนู†ุง ูƒูŠู ู…ู…ูƒู† ู†ู‚ูŠู… ุชุดุชุช ุงู„ุจูŠุงู†ุงุช
1284
+
1285
+ 322
1286
+ 00:30:14,330 --> 00:30:20,710
1287
+ ุชุงุนุฉ ุงู„ุนูŠู†ุฉ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ู„ุนูŠู†ุฉ ุงุญู†ุง
1288
+
1289
+ 323
1290
+ 00:30:20,710 --> 00:30:25,810
1291
+ ูƒุงู†ู†ุง ุงุชุฌุฑูˆุง ูˆุงุฎุฏู†ุง ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู„ุถุบุท ุจุนุฏูŠู† ุญุณุจู†ุง ุงู„
1292
+
1293
+ 324
1294
+ 00:30:25,810 --> 00:30:30,690
1295
+ main value of pressure ูˆุดูˆูู†ุง ูƒูŠู ุงุชุดุชุช ุญูˆุงู„ูŠู† ุงู„
1296
+
1297
+ 325
1298
+ 00:30:30,690 --> 00:30:35,010
1299
+ main value ุจุญุณุจ ุงุฎุชูŠุงุฑู†ุง ู„ู„ confidence interval
1300
+
1301
+ 326
1302
+ 00:30:38,930 --> 00:30:42,430
1303
+ it did not yield an instant for the instant it
1304
+
1305
+ 327
1306
+ 00:30:42,430 --> 00:30:44,850
1307
+ used in using x bar as an approximation to the
1308
+
1309
+ 328
1310
+ 00:30:44,850 --> 00:30:48,110
1311
+ true value ุงู„ุงู† ู‡ู„ ุงู„ x bar ุงู„ x bar ุงู„ู„ูŠ ุญุณุจู†ุงู‡
1312
+
1313
+ 329
1314
+ 00:30:48,110 --> 00:30:52,650
1315
+ ููŠ ุงู„ู…ุซุงู„ ุงู„ุณุงุจู‚ ุชู…ุซู„ ู„ู„ true value ู„ู„ pressure
1316
+
1317
+ 330
1318
+ 00:30:52,650 --> 00:31:00,710
1319
+ ู„ูŠุด ู„ุฃู† ุจุจุณุงุทุฉ ุงู„ูุญุต ุงู…ุชุฏ ุนู„ู‰ ุงุชู†ุงุดุฑ ุณุงุนุฉ ูˆ ุงู„
1320
+
1321
+ 331
1322
+ 00:31:00,710 --> 00:31:03,290
1323
+ steam generator ุจูŠูƒูˆู† ุดุบุงู„ ุนู„ู‰ ุทูˆู„ ูˆ ุฏู„ูˆุง ุดุบุงู„
1324
+
1325
+ 332
1326
+ 00:31:03,290 --> 00:31:08,790
1327
+ ุณู†ูŠู†ู…ุธุจูˆุทุŸ ู…ุนู†ุงู‡ ุงู† population of data ุงูƒุชุฑ ุจูƒุชูŠุฑ
1328
+
1329
+ 333
1330
+ 00:31:08,790 --> 00:31:18,610
1331
+ ู…ู† ุงู„ู…ูŠุฉ ุตุญุŸ ู…ุนู†ุงู‡ ุงู† ุงู„ X bar ุจุชู…ุซู„ุด ุงู„ true
1332
+
1333
+ 334
1334
+ 00:31:18,610 --> 00:31:24,290
1335
+ value 100% ู…ู…ูƒู† ุชูƒูˆู† ู‚ุฑูŠุจุฉ ู…ู†ู‡ุง if
1336
+
1337
+ 335
1338
+ 00:31:24,290 --> 00:31:27,670
1339
+ the pressure test were repeated ุฅุฐุง ุชู… ุฅุนุงุฏุฉ ุงู„ูุญุต
1340
+
1341
+ 336
1342
+ 00:31:27,670 --> 00:31:35,360
1343
+ ูƒุงู… ู…ุฑุฉ ู„ู…ุฏุฉ 12 ุณุงุนุฉ ุชุงู†ูŠู† ูˆุงุฎุฏู†ุง ูƒู…ุงู† 12ู‚ุฑุงุกุฉ ู‡ู„
1344
+
1345
+ 337
1346
+ 00:31:35,360 --> 00:31:39,880
1347
+ ุงู„ X bar ุงู„ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ X bar ุงู„ูุญุต ุงู„ุฃูˆู„ุงู†ูŠ ู„ุฃ
1348
+
1349
+ 338
1350
+ 00:31:39,880 --> 00:31:47,800
1351
+ ู‡ุชูƒูˆู† ู‚ุฑูŠุจุฉ ุจุณ ู…ุด ู‡ุชุทู„ุน ู†ูุณู‡ุง ู„ูˆ ุนู…ู„ู†ุง ูุญุต ุชุงู„ุช ูˆ
1352
+
1353
+ 339
1354
+ 00:31:47,800 --> 00:31:51,240
1355
+ ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ูŠุฉ ู‚ุฑุงุกุฉ ู‡ู„ ุงู„ X bar ุจุชุงุนุฉ ุงู„ุนูŠู†ุฉ
1356
+
1357
+ 340
1358
+ 00:31:51,240 --> 00:31:53,760
1359
+ ุงู„ุชุงู„ุชุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ูŠุฉ ู‚ุฑุงุกุฉ ุฌุฏูŠุฏุฉ ู‡ุชุทู„ุน ู†ูุณ ุงู„ุฃุดูŠุงุก
1360
+
1361
+ 341
1362
+ 00:31:53,760 --> 00:31:58,200
1363
+ ู„ุฃ ู„ูˆ ุฃุฎุฏู†ุง ุจุฑุถ ุชุฌุฑุจุฉ ุฑุงุจุนุฉ ุฎู…ุณ ุณุงุฉ ุณุงุฏุณุฉ ู…ู†ุงุทู‚
1364
+
1365
+ 342
1366
+ 00:31:58,200 --> 00:32:02,740
1367
+ ุฅุฐุง ุจุนู…ู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุนูŠู†ุงุช ู…ุฌู…ูˆุนุฉ ุงู„ุนูŠู†ุงุช ู„ูƒู„ ุนูŠู†ุฉ
1368
+
1369
+ 343
1370
+ 00:32:02,740 --> 00:32:09,940
1371
+ ู‡ูƒูˆู† ู„ู‡ุงX bar ู„ูƒู„ ุนูŠู†ุงู‡ุง ูŠูƒูˆู† ู„ู‡ุง X bar ุชุงุนุชู‡ุง ู„ุฃู†
1372
+
1373
+ 344
1374
+ 00:32:09,940 --> 00:32:14,900
1375
+ ุงู„ X bars ู†ูุณู‡ู… ู‡ุฏูˆู„ ููŠู‡ fluctuation ู„ูˆ ุฃุฎุฏุช ุงู„ X
1376
+
1377
+ 345
1378
+ 00:32:14,900 --> 00:32:19,580
1379
+ bars ูƒู„ู‡ู… ู‡ุฏูˆู„ ูˆ ุฃุฎุฏุช ู„ู‡ู… mean value ู‡ูŠุตูŠุฑ ู„ู‡ู…
1380
+
1381
+ 346
1382
+ 00:32:19,580 --> 00:32:23,760
1383
+ fluctuation about the mean of means ุงู„ู„ูŠ ู‡ูˆ ู…ุชูˆุณุท
1384
+
1385
+ 347
1386
+ 00:32:23,760 --> 00:32:27,420
1387
+ ุงู„ู…ุชูˆุณุทุงุช ู‡ุตูŠุฑู‡ุง dispersion ู‡ุตูŠุฑู‡ุง ูŠุนู†ูŠ ุชุฐุจุฏ
1388
+
1389
+ 348
1390
+ 00:32:27,420 --> 00:32:30,780
1391
+ ุจุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ูˆุณุทู‰
1392
+
1393
+ 349
1394
+ 00:32:34,430 --> 00:32:39,690
1395
+ ู…ุนู†ุงุชู‡ ููŠ ุชุฐุจุฐุจ ู„ู„ samples ู„ู„ mean of samples
1396
+
1397
+ 350
1398
+ 00:32:39,690 --> 00:32:47,270
1399
+ ุญูˆุงู„ูŠู† ู†ู‚ุทุฉ ุงูˆ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ if n for each sample is
1400
+
1401
+ 351
1402
+ 00:32:47,270 --> 00:32:51,650
1403
+ very large ุงู„ุงู† ูŠุนู†ูŠ ุชูƒูˆู† ุงูƒุจุฑ ู…ู† ุชู„ุงุชูŠู†ุงู„ู€
1404
+
1405
+ 352
1406
+ 00:32:51,650 --> 00:32:55,690
1407
+ distribution of the main values is Gaussian ุงู„ู€ X
1408
+
1409
+ 353
1410
+ 00:32:55,690 --> 00:32:58,890
1411
+ ุฃู†ุง ุงู„ุญูŠู† ุฃู†ุง ุนู…ู„ุช ุชุฌุฑุจุฉ ุงู„ุฃูˆู„ู‰ ุฃุฎุฏุช X bar ูˆุงุญุฏ
1412
+
1413
+ 354
1414
+ 00:32:58,890 --> 00:33:02,290
1415
+ ุชุฌุฑุจุฉ ุชุงู†ูŠุฉ ุฃุฎุฏุช X bar ุงุชู†ูŠู† ุชุฌุฑุจุฉ ุชุงู„ุชุฉ ู…ุซู„ุง ุณู…ูŠุช
1416
+
1417
+ 355
1418
+ 00:33:02,290 --> 00:33:06,490
1419
+ ูƒุฑุง ุชุงู„ุชุฉ ุฃุฎุฏุช X bar ุชู„ุงุชุฉ ูˆ ู‡ูƒุฐุง ุงู„ X bars ู‡ุฏูˆุฉ
1420
+
1421
+ 356
1422
+ 00:33:06,490 --> 00:33:10,590
1423
+ ุญุงุทุทุฉ ููŠ ุงู„ tablesููŠู‡ู… variations ุจูŠุทู„ุนูˆุด ู†ูุณ
1424
+
1425
+ 357
1426
+ 00:33:10,590 --> 00:33:14,310
1427
+ ุงู„ุงุดูŠ ุงู„ variation ุจุชุงุนุฉ ุงู„ X bars it follows
1428
+
1429
+ 358
1430
+ 00:33:14,310 --> 00:33:20,370
1431
+ Gaussian ุงูˆ normal distribution ุงุฐุง ูƒุงู†ุช ุนู†ุฏ ุงู„ ุงู„
1432
+
1433
+ 359
1434
+ 00:33:20,370 --> 00:33:29,430
1435
+ ุงู„ sample is large ุงู„ standard deviation ู„ู„ sample
1436
+
1437
+ 360
1438
+ 00:33:29,430 --> 00:33:34,350
1439
+ means ู…ุชูˆุณุท ุงู„ sample is sigma X bar ู†ูุณ ุงู„ X bar
1440
+
1441
+ 361
1442
+ 00:33:34,350 --> 00:33:37,920
1443
+ ููŠู‡ ุงู„ standard deviationู…ุชูˆู‚ุน ุงู„ standard
1444
+
1445
+ 362
1446
+ 00:33:37,920 --> 00:33:44,800
1447
+ deviation ู„ู„ X bar ุชูƒูˆู† ุงูƒุจุฑ ูˆู„ุง ุงู‚ู„ ู…ู† ุงู„
1448
+
1449
+ 363
1450
+ 00:33:44,800 --> 00:33:49,660
1451
+ standard deviation ู„ุชุฌุฑุจุฉ ูˆุงุญุฏุฉ ุงู‚ู„ ู‡ูƒูˆู† ุชู†ุญุดุฑ
1452
+
1453
+ 364
1454
+ 00:33:49,660 --> 00:33:53,060
1455
+ ุงูƒุชุฑ ูŠุนู†ูŠ ู…ุซู„ุง ุงู†ุง ุงู„ู„ูŠ ุงุฎุฏุช ุงุนู…ู„ ุชุฌุฑุจุฉ ู…ูŠุฉ ู‚ุฑุงุกุฉ
1456
+
1457
+ 365
1458
+ 00:33:53,060 --> 00:34:01,820
1459
+ ู‡ูŠุทู„ุน destruction ู…ุซู„ุง ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ู„ูˆ
1460
+
1461
+ 366
1462
+ 00:34:01,820 --> 00:34:07,650
1463
+ ุนู…ู„ุช ุชุฌุฑุจุฉ ูˆุงุญุฏ experiment ูˆุงุญุฏExperiment 2,
1464
+
1465
+ 367
1466
+ 00:34:08,230 --> 00:34:15,570
1467
+ Experiment 3 ู„ุญุฏ Experiment K ู…ุซู„ุง ูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง
1468
+
1469
+ 368
1470
+ 00:34:15,570 --> 00:34:20,490
1471
+ ู…ุงุฆุฉ ู‚ุฑุงูŠุฉ ู…ุงุฆุฉ readings ู…ุงุฆุฉ readings ู…ุงุฆุฉ
1472
+
1473
+ 369
1474
+ 00:34:20,490 --> 00:34:28,630
1475
+ readings ู‡ุญุตู„ ู„ุนุฏู‡ูŠู† X bar ูˆุงุญุฏูˆู‡ู†ุง ู‡ุญุตู„ X bar
1476
+
1477
+ 370
1478
+ 00:34:28,630 --> 00:34:36,650
1479
+ ุงุชู†ูŠู† ูˆ X bar ุชู„ุงุชุฉ ูˆ X bar K ู‡ุฏูˆู„ ุงู„ X bars
1480
+
1481
+ 371
1482
+ 00:34:36,650 --> 00:34:42,610
1483
+ ู‡ูŠูƒูˆู†ู‡ู… distribution ุฏุณุชุฑูˆูŠุดู† ุจุชุงุนู‡ู… ู‡ูŠุทู„ุน ุจุฑุถู‡ ู„ูˆ
1484
+
1485
+ 372
1486
+ 00:34:42,610 --> 00:34:49,470
1487
+ ุงุฑุจุน ุงู„ุจุงุณ ู‡ูŠุทู„ุน ุงูŠุงุด ู†ุฌุฑุจูŠู†
1488
+
1489
+ 373
1490
+ 00:34:49,470 --> 00:34:51,150
1491
+ ู†ู‚ุทุน ุจุนุถ ุงูƒุชุฑ
1492
+
1493
+ 374
1494
+ 00:34:54,640 --> 00:34:57,780
1495
+ ููˆุงุถุญ ู„ุตุฏุฑ deviation ู‡ูŠ ู…ุฎุชู„ูุฉ ู„ุตุฏุฑ deviation ู„ู„
1496
+
1497
+ 375
1498
+ 00:34:57,780 --> 00:35:03,680
1499
+ data ู„ูƒู„ ู„ูƒู„ set of experiments ู…ุนู†ุงุชู‡ ุจูŠูƒูˆู† ุงู„
1500
+
1501
+ 376
1502
+ 00:35:03,680 --> 00:35:10,760
1503
+ sigma x bar ู„ู„ x bar ุจุชุณุงูˆูŠ
1504
+
1505
+ 377
1506
+ 00:35:10,760 --> 00:35:18,580
1507
+ sigma ุนู„ู‰ ุฌุฏุฑ n ู‡ุฐุง sigma ุงูŠุดุŸ sigma ุจุชุงุนุฉ ุงู„ data
1508
+
1509
+ 378
1510
+ 00:35:18,580 --> 00:35:24,150
1511
+ for one set of experiment ู‡ุฐุง ุงู„ sigmaูˆ sigma x ู‡ูŠ
1512
+
1513
+ 379
1514
+ 00:35:24,150 --> 00:35:29,510
1515
+ standard deviation ุจุชุงุนุฉ ุงู„ X bar ุชู‚ุณู… ุนู† ุฌุฒุก
1516
+
1517
+ 380
1518
+ 00:35:29,510 --> 00:35:32,770
1519
+ ุงู…ุงู†ู‡ ูˆุงุถุญ ุงู†ู‡ุง ู„ูŠู‡ุงุด ุงุตุบุฑ ุจูŠูƒูˆู† ุนู†ุฏู‰ distribution
1520
+
1521
+ 381
1522
+ 00:35:32,770 --> 00:35:42,370
1523
+ ู…ุถุบูˆุท since
1524
+
1525
+ 382
1526
+ 00:35:42,370 --> 00:35:46,570
1527
+ X bar is Gaussian distributedwith distribution
1528
+
1529
+ 383
1530
+ 00:35:46,570 --> 00:35:50,650
1531
+ with standard deviation sigma x bar ู…ู…ูƒู† ุงุณุชุฎุฏู…
1532
+
1533
+ 384
1534
+ 00:35:50,650 --> 00:35:54,690
1535
+ ู†ูุณ ุงู„ table ุงู„ table ุงุชู†ูŠู† z ุจุณุชูˆู‰ x bar minus mu
1536
+
1537
+ 385
1538
+ 00:35:54,690 --> 00:35:58,910
1539
+ ุนู„ู‰ sigma x bar ูˆุฒูŠ ุงูˆ ุนูˆุงุท ุนู† sigma x bar sigma
1540
+
1541
+ 386
1542
+ 00:35:58,910 --> 00:36:03,950
1543
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ n ู…ู…ูƒู†
1544
+
1545
+ 387
1546
+ 00:36:03,950 --> 00:36:07,950
1547
+ ุงุณุชุฎุฏู… ุฌุฏูˆู„ ุนุดุงู† ุงุญุณุจ probabilities of occurrence
1548
+
1549
+ 388
1550
+ 00:36:07,950 --> 00:36:14,300
1551
+ ู„ some events with c confidence intervalู„ู„ู€ true
1552
+
1553
+ 389
1554
+ 00:36:14,300 --> 00:36:18,180
1555
+ mean value ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุชูƒูˆู† within the range
1556
+
1557
+ 390
1558
+ 00:36:18,180 --> 00:36:28,360
1559
+ ุจูŠู† X bar minus Z ุงู„ confidence interval ุนู„ู‰ 2 ููŠ
1560
+
1561
+ 391
1562
+ 00:36:28,360 --> 00:36:32,920
1563
+ sigma ุนู„ู‰ ุฌุฐุฑ N ูˆ ุจูŠู† X bar ูˆ ZC ุนู„ู‰ 2 ููŠ sigma
1564
+
1565
+ 392
1566
+ 00:36:32,920 --> 00:36:37,460
1567
+ ุนู„ู‰ ุฌุฐุฑ N ู‡ุชูƒูˆู† ู‡ูŠ ุงู„ู€ mu value ุจูŠู† ู‡ุฏูˆู„ ุงู„ุงุซู†ุชูŠู†
1568
+
1569
+ 393
1570
+ 00:36:37,460 --> 00:36:42,160
1571
+ ู‡ุฏู‰ ุงู„ู‚ูŠู…ุฉ lower bound ูˆู‡ุฏู‰ ุงู„ upper bound
1572
+
1573
+ 394
1574
+ 00:36:48,360 --> 00:36:52,160
1575
+ ุทูŠุจ for large samples ุงุญู†ุง ุจู†ุญูƒูŠ ุงู„ sigma ุฏู‡
1576
+
1577
+ 395
1578
+ 00:36:52,160 --> 00:36:56,460
1579
+ ุจู†ุณุชุฎุฏู…ู‡ ู„ู„ population for large samples ู…ู…ูƒู†
1580
+
1581
+ 396
1582
+ 00:36:56,460 --> 00:37:04,690
1583
+ ุงุนุชุจุฑ ุงู† ุงู„ Sx ู‡ูŠ ู†ูุณ ุนุงุดุฑ ุงู„ sigmaู„ู…ุง ู†ุญุณุจ ุทุจุนุง
1584
+
1585
+ 397
1586
+ 00:37:04,690 --> 00:37:09,510
1587
+ ุงู„ X bar ุงู„ู…ุนู†ู‰ ุชูˆุตูŠ ุงู„ confidence interval ุงู„ ู…ูŠูˆ
1588
+
1589
+ 398
1590
+ 00:37:09,510 --> 00:37:14,430
1591
+ ุงู„ู„ูŠ ุชุชุฑุงูˆุญ ุจูŠู† X bar ู…ุงู†ุง ZC ุน ุชู†ูŠู† SX ุนู„ู‰ ุฌุฒุฑ N
1592
+
1593
+ 399
1594
+ 00:37:14,430 --> 00:37:23,770
1595
+ ูˆ ุจูŠู† X bar ุฒุงุฆุฏ ZC ุน ุชู†ูŠู† SX ุนู„ู‰ ุฌุฒุฑ N ุทุจุนุง ุงู„ SX
1596
+
1597
+ 400
1598
+ 00:37:23,770 --> 00:37:27,350
1599
+ bar ุงู„ standard deviation ู„ู„ main values ู…ูุทุงุจู„
1600
+
1601
+ 401
1602
+ 00:37:27,350 --> 00:37:31,890
1603
+ ุงู„ุฃุฎุฑู‰ ุฏูŠ SX ุนู„ู‰ ุฌุฒุฑ ุชุฑุจูŠุนูŠ ู„ N ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุญูƒูŠ ู‡ุฐู‡
1604
+
1605
+ 402
1606
+ 00:37:33,770 --> 00:37:47,350
1607
+ ู…ุถุฑูˆุจุฉ ู‡ุฐุง ุงุนุชุจุงุฑู‡ุง Sx bar ูˆู‡ุฐุง Sx bar ุทูŠุจ ุชุดูˆู
1608
+
1609
+ 403
1610
+ 00:37:47,350 --> 00:37:47,770
1611
+ ู…ุซุงู„
1612
+
1613
+ 404
1614
+ 00:38:04,150 --> 00:38:12,430
1615
+ Determine a 99% confidence interval for the mean
1616
+
1617
+ 405
1618
+ 00:38:12,430 --> 00:38:23,690
1619
+ pressure calculated in the previous example ุงูˆู„ุด
1620
+
1621
+ 406
1622
+ 00:38:23,690 --> 00:38:25,110
1623
+ ุงู„ confidence interval ุงู†ุง ุนู†ุฏูŠ ู‡ุงูŠ
1624
+
1625
+ 407
1626
+ 00:38:33,920 --> 00:38:39,880
1627
+ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ูƒู„ู‡ุง ุงู†ุง ู…ุญูƒูŠู‡ 99% ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
1628
+
1629
+ 408
1630
+ 00:38:39,880 --> 00:38:49,340
1631
+ ุชุณุงูˆูŠ ุงูŠุด ู…ุณุงุญุฉ ุงู„ area ุชุณุงูˆูŠ point 99 ุตุญ ู…ุตุฎุฉ ู‡ุฐู‡
1632
+
1633
+ 409
1634
+ 00:38:49,340 --> 00:38:52,680
1635
+ ุงู„ู…ุณุงุญุฉ
1636
+
1637
+ 410
1638
+ 00:38:52,680 --> 00:38:58,100
1639
+ 99
1640
+
1641
+ 411
1642
+ 00:38:58,100 --> 00:39:02,940
1643
+ ุนู„ู‰ 2 point 495
1644
+
1645
+ 412
1646
+ 00:39:04,480 --> 00:39:11,780
1647
+ ุจุฏูŠ ุฃุญุณุจ z c ุนู„ู‰ 2 ุงู„ู„ูŠ ู‡ูŠ z ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ ูˆุชุณุนูŠู†
1648
+
1649
+ 413
1650
+ 00:39:11,780 --> 00:39:18,140
1651
+ ุนู„ู‰ ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูŠ z point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณ ูู…ุง
1652
+
1653
+ 414
1654
+ 00:39:18,140 --> 00:39:25,780
1655
+ ุจุญุณุจู‡ุง ุฏูŠ ู…ู† ุงู„ table ุจุฑูˆุญ ุนู„ู‰ ุงู„ table ุงู†ุง ุชู‚ุนุฏุช
1656
+
1657
+ 415
1658
+ 00:39:25,780 --> 00:39:28,820
1659
+ ุจุนุทูŠู„ู‡ ุงู„ z ูˆ ุจุงุฎุฏ ู…ู†ู‡ ุงู„ area ุงู†ุง ุญุงู„ูŠุง ุนุงุฑู ุงู„
1660
+
1661
+ 416
1662
+ 00:39:28,820 --> 00:39:29,500
1663
+ area ุงู„ุนูƒุณ
1664
+
1665
+ 417
1666
+ 00:39:33,720 --> 00:39:39,680
1667
+ ุจุฏูŠ ุงู†ุง ุงูƒู…ู„ ู…ุณุงุญุฉ ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ุงุฑุจุนุฉ ุชุณุนุฉ
1668
+
1669
+ 418
1670
+ 00:39:39,680 --> 00:39:45,040
1671
+ ุฌุงูŠู†ุง ุงุญู†ุง ู‡ู†ุง ู‡ู†ุง point ุงุฑุจุนุฉ ุชุณุนุฉ ุงุฑุจุนุฉ ุชุณุนุฉ
1672
+
1673
+ 419
1674
+ 00:39:45,040 --> 00:39:51,740
1675
+ ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุญุฏ ูŠุนู†ูŠ ุฌุงูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงุฑุจุนุฉ
1676
+
1677
+ 420
1678
+ 00:39:51,740 --> 00:39:57,100
1679
+ ุชุณุนุฉ ู‡ู†ุง ุงุญู†ุง ุฌุงูŠู†ุง ุงู„
1680
+
1681
+ 421
1682
+ 00:39:57,100 --> 00:39:59,560
1683
+ point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ููŠ ุงู„ู…ุตุฏุฑ ุฌุงูŠ ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡
1684
+
1685
+ 422
1686
+ 00:39:59,560 --> 00:40:08,950
1687
+ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ู‡ุฐู‡ ุนู†ุฏูŠุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1688
+
1689
+ 423
1690
+ 00:40:08,950 --> 00:40:18,330
1691
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1692
+
1693
+ 424
1694
+ 00:40:18,330 --> 00:40:20,850
1695
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1696
+
1697
+ 425
1698
+ 00:40:20,850 --> 00:40:25,330
1699
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู† ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุชู†ูŠู†
1700
+
1701
+ 426
1702
+ 00:40:25,330 --> 00:40:32,880
1703
+ ุจูˆู†ุช ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉุงูŠุด ูุงู†ุง ุงู„ูƒูˆู† ุงู„ู„ูŠ ู‡ูŠ point ุงู‡
1704
+
1705
+ 427
1706
+ 00:40:32,880 --> 00:40:38,540
1707
+ ุจุณ ู‡ูŠ ุฎู…ุณุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ุงุญุชู…ุงู„ูŠุฉ ู„ู…ุง
1708
+
1709
+ 428
1710
+ 00:40:38,540 --> 00:40:42,720
1711
+ ุงู„ุญุตูˆู„ู‡ุง ุชุทู„ุน ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ูŠุนู†ูŠ
1712
+
1713
+ 429
1714
+ 00:40:42,720 --> 00:40:53,960
1715
+ ุงุญุชู…ุงู„ ุงู†ู‡ุงู„ู€ Z ุชูƒูˆู† ุจูŠู† ุงู„ุตูุฑ ูˆ 2.5759.5 ุงุญุชู…ุงู„
1716
+
1717
+ 430
1718
+ 00:40:53,960 --> 00:40:59,500
1719
+ ุชูƒูˆู† ุจูŠู† ุงู„ู€ minus 2.5759.5 ูˆ 2.5759.5 ุชุณุนุฉ ูˆุชุณุนูŠู†
1720
+
1721
+ 431
1722
+ 00:40:59,500 --> 00:41:05,080
1723
+ ููŠ ุงู„ู…ูŠุฉ ุทูŠุจ
1724
+
1725
+ 432
1726
+ 00:41:05,080 --> 00:41:11,700
1727
+ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ู…ู† ุงู„ table ุญุณุจู†ุงู‡ุง ุงู„ confidence
1728
+
1729
+ 433
1730
+ 00:41:11,700 --> 00:41:20,010
1731
+ intervalู…ู† ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† X bar ุงู„
1732
+
1733
+ 434
1734
+ 00:41:20,010 --> 00:41:22,710
1735
+ confidence interval ุงู„ confidence interval ุจุชูƒูˆู†
1736
+
1737
+ 435
1738
+ 00:41:22,710 --> 00:41:31,890
1739
+ ุณูˆู‰ plus or minus Z ุงู„ C ุนู„ู‰ ุงุชู†ูŠู† ููŠ ุงู„ S X ุนู„ู‰
1740
+
1741
+ 436
1742
+ 00:41:31,890 --> 00:41:40,540
1743
+ ุฌุฒุฑ ุงู„ N ุจุชุณุงูˆูŠ plus or minus ุงู„ Zุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงุชู†ูŠู†
1744
+
1745
+ 437
1746
+ 00:41:40,540 --> 00:41:46,060
1747
+ point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุงู„ Sx ุญุณุจู†ุงู‡ ุงู„ู…ุฑุฉ ุงู„ูุงุชุฉ ููŠ
1748
+
1749
+ 438
1750
+ 00:41:46,060 --> 00:41:51,920
1751
+ ุงู„ example ุงู„ุณุงุจู‚ point O ูˆุงุญุฏ ุงุฑุจุนุฉ point O ูˆุงุญุฏ
1752
+
1753
+ 439
1754
+ 00:41:51,920 --> 00:41:59,560
1755
+ ุงุฑุจุนุฉ ุน ุฌุฒุฑ ุงูŠุด ุงู„ู…ูŠุฉ ุชู†ุถุฑุจ
1756
+
1757
+ 440
1758
+ 00:41:59,560 --> 00:42:02,900
1759
+ ุชุนุทูŠู†ุง
1760
+
1761
+ 441
1762
+ 00:42:02,900 --> 00:42:06,360
1763
+ ุงู„ู„ูŠ
1764
+
1765
+ 442
1766
+ 00:42:06,360 --> 00:42:07,300
1767
+ ู‡ูŠ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
1768
+
1769
+ 443
1770
+ 00:42:14,360 --> 00:42:18,260
1771
+ ู…ุงุดูŠ ุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงู„ main value ุงุญู†ุง ุญุณุจู†ุงู‡ุง ู…ู†
1772
+
1773
+ 444
1774
+ 00:42:18,260 --> 00:42:24,540
1775
+ ุงู„ุซุงู„ุซ ุณุงุนุฉ ุจุชุทู„ุน ุงุฑุจุน point OO ุชู…ุงู†ูŠุฉ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
1776
+
1777
+ 445
1778
+ 00:42:24,540 --> 00:42:28,700
1779
+ ุญุณุจ ู‡ุฐู‡ ุงุชู†ูŠู† ู…ุงุฆุฉ ุฎู…ุณ ุจู‚ู‰ ุฎู…ุณ ุชู„ู point O ูˆุงุญุฏ
1780
+
1781
+ 446
1782
+ 00:42:28,700 --> 00:42:35,180
1783
+ ุงุฑุจุน ุนู„ู‰ ุฌุฒุฑ ุงู„ู…ูŠุฉ ุชุทู„ุน point OO ุชู„ุงุชุฉ ุณุชุฉ ู‡ุชู…ุซู„
1784
+
1785
+ 447
1786
+ 00:42:35,180 --> 00:42:40,640
1787
+ ninety nine percent confidence interval ู…ุนู†ุงุชู‡
1788
+
1789
+ 448
1790
+ 00:42:43,290 --> 00:42:51,190
1791
+ ุงู„ pressure ู‡ูŠ ุชุฑูˆุญ ุจูŠู† ุงู„
1792
+
1793
+ 449
1794
+ 00:42:51,190 --> 00:42:55,190
1795
+ pressure ุงู„
1796
+
1797
+ 450
1798
+ 00:42:55,190 --> 00:43:02,050
1799
+ main pressure ู‡ูŠูƒูˆู† ุงูƒุจุฑ ู…ู† ุงุฑุจุน point o o ุชู…ุงู†ูŠุฉ
1800
+
1801
+ 451
1802
+ 00:43:02,050 --> 00:43:09,190
1803
+ ู†ุงู‚ุต ู‡ุฐุง ุงู„ุฑู‚ู… ุงุณู…ู‡ ุงุฑุจุน
1804
+
1805
+ 452
1806
+ 00:43:09,190 --> 00:43:16,290
1807
+ point o o ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต point o oุชู„ุงุชุฉ ุณุชุฉ ุงุฑุจุนุฉ
1808
+
1809
+ 453
1810
+ 00:43:16,290 --> 00:43:27,790
1811
+ ุงุฑุจุนุฉ
1812
+
1813
+ 454
1814
+ 00:43:27,790 --> 00:43:30,970
1815
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1816
+
1817
+ 455
1818
+ 00:43:30,970 --> 00:43:37,330
1819
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1820
+
1821
+ 456
1822
+ 00:43:37,330 --> 00:43:39,470
1823
+ ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุงุฑุจุนุฉ
1824
+
1825
+ 457
1826
+ 00:43:45,710 --> 00:43:51,730
1827
+ 99% confidence ูŠุนู†ูŠ
1828
+
1829
+ 458
1830
+ 00:43:51,730 --> 00:43:59,370
1831
+ ุงุญุชู…ุงู„ูŠุฉ 9% ุงู† ุงู„ mean pressure ูŠูƒูˆู† ุฌุงูŠ ููŠ ุงู„
1832
+
1833
+ 459
1834
+ 00:43:59,370 --> 00:44:07,650
1835
+ range ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ู‡ุฐู‡ ู…ุนู†ุงู‡ 99% 1% ุงู† ูŠูƒูˆู† ุจุฑุง
1836
+
1837
+ 460
1838
+ 00:44:07,650 --> 00:44:13,670
1839
+ ุงู„ range ูŠูƒูˆู† ุงู‚ู„ ู…ู† ู‡ุฐู‡ ุงูˆ ุงุนู„ู‰ ู…ู† ู‡ุฐู‡ู‡ุฐุง ุงู„ูˆุงุญุฏ
1840
+
1841
+ 461
1842
+ 00:44:13,670 --> 00:44:18,030
1843
+ ููŠ ุงู„ู…ูŠุฉ ุงู„ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุจูŠุณู…ูˆู‡ุง ุนุดุงู† level of
1844
+
1845
+ 462
1846
+ 00:44:18,030 --> 00:44:25,570
1847
+ significance level of significance ูŠุนู†ูŠ ุงู„ูƒูˆู†
1848
+
1849
+ 463
1850
+ 00:44:25,570 --> 00:44:28,310
1851
+ level of significance ูŠุนู†ูŠ ุจูŠุญูƒูŠ ุนู† ุงู„ .. ุงู„ .. ุงู„
1852
+
1853
+ 464
1854
+ 00:44:28,310 --> 00:44:31,870
1855
+ out .. ุงู„ outlet range ูŠุนู†ูŠ ุชูƒูˆู† ุงู„ุฃุดูŠุงุก ุงู„ู‚ูŠู…ุฉ
1856
+
1857
+ 465
1858
+ 00:44:31,870 --> 00:44:36,610
1859
+ ุงู„ู‚ุฑุงุกุฉ ุจุฑุง ุงู„ range ุงู„ level of significance ุฒุงุฏ
1860
+
1861
+ 466
1862
+ 00:44:36,610 --> 00:44:40,710
1863
+ ุงู„ level of confidence ุฃุดูˆู‰ ุงู„ุณุงูˆูŠุฉ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
1864
+
1865
+ 467
1866
+ 00:44:49,750 --> 00:44:55,230
1867
+ ู‡ู„ ู‡ูˆ ู…ูˆุถูˆุน ุชุงู†ูŠ ู…ูˆุถูˆุน ุชุงู†ูŠ ุงู† ุงู†ุช ุชุญูƒูŠ ู…ุซู„ุง point
1868
+
1869
+ 468
1870
+ 00:44:55,230 --> 00:45:01,970
1871
+ o ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุงู‡ ูƒู… ุชุทู„ุน point o for ู…ูŠุฌุง ูŠุนู†ูŠ ุงูƒู…
1872
+
1873
+ 469
1874
+ 00:45:01,970 --> 00:45:10,070
1875
+ bar point ุงุฑุจุนุฉ bar ุงู„ bar ุงูƒู… ู…ุชุฑ ุงุฑุชูุงุน ุงู„ู…ูŠู‡
1876
+
1877
+ 470
1878
+ 00:45:10,070 --> 00:45:15,950
1879
+ ุจูŠุฌูŠุจ ุนุดุฑุฉ ู…ุชุฑ ุงู„ bar ุนุดุฑุฉ ู…ุชุฑ point ุงุฑุจุนุฉ ู…ุนู†ุงุชู‡
1880
+
1881
+ 471
1882
+ 00:45:15,950 --> 00:45:21,300
1883
+ ุงุฑุชูุงุน ุนู…ูˆุถ ู…ูŠู‡ุงุฑุจุนุฉ ู…ุชุฑ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ู…ุด ุตุบูŠุฑุฉ
1884
+
1885
+ 472
1886
+ 00:45:21,300 --> 00:45:33,600
1887
+ ุงู„ุงุฑุจุน ูˆ ุงู† ุนุดุฑุฉ bar ูŠุนู†ูŠ reasonable ุทูŠุจ
1888
+
1889
+ 473
1890
+ 00:45:33,600 --> 00:45:38,900
1891
+ ุงู„ู…ุญุงุถุฑุฉ
1892
+
1893
+ 474
1894
+ 00:45:38,900 --> 00:45:42,680
1895
+ ุฌุงุก ุจุงู„ Campbell ู…ู†ุฏุฑุณ ุญุงู„ุฉ ุงู„ confidence
1896
+
1897
+ 475
1898
+ 00:45:42,680 --> 00:45:48,150
1899
+ intervalsfor small samples ูŠุนู†ูŠ ุงู„ุงู† ุจูŠูƒูˆู† ุงู‚ู„ ู…ู†
1900
+
1901
+ 476
1902
+ 00:45:48,150 --> 00:45:49,030
1903
+ ุชู„ุงุชูŠู†
1904
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/DbaRNmxt2oo.srt ADDED
@@ -0,0 +1,2276 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:07,860
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,860 --> 00:00:11,460
7
+ ูˆุจุฑูƒุงุชู‡ุŒ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ู€ chapter four, major and
8
+
9
+ 3
10
+ 00:00:11,460 --> 00:00:16,620
11
+ octasiaุŒ ู‚ูŠุงุณ ุงูŠู‡ุŸ ุงู„ุถุบุท. ุนู…ู„ ู…ุฑุงุฌุนุฉ ุณุฑูŠุนุฉ ุนู„ู‰
12
+
13
+ 4
14
+ 00:00:16,620 --> 00:00:21,000
15
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ. ุนุฑูู†ุง ุงู„ู€ pressure ู‡ูˆ ุงู„ู‚ูˆุฉ
16
+
17
+ 5
18
+ 00:00:21,000 --> 00:00:24,560
19
+ ุงู„ุนู…ูˆุฏูŠุฉ ุงู„ู…ุคุซุฑุฉ ุนู„ู‰ ุณุทุญุŒ ูŠุนู†ูŠ ุงู„ู‚ูˆุฉ ุงู„ุนู…ูˆุฏูŠุฉ ู„ูƒู„
20
+
21
+ 6
22
+ 00:00:24,560 --> 00:00:28,740
23
+ ู…ุณุงุญุฉ. ุงู„ูˆุญุฏุงุช ุงู„ุฑุฆูŠุณูŠุฉ: ุงู„ู€ bascule ูˆ ุงู„ู€ pound per
24
+
25
+ 7
26
+ 00:00:28,740 --> 00:00:32,380
27
+ square inch. ุนุฑูู†ุง ุงู„ู€ gauge pressure ูˆ ุงู„ู€ absolute
28
+
29
+ 8
30
+ 00:00:32,380 --> 00:00:36,420
31
+ pressure. ุงู„ู€ gauge pressure ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุถุบุท ุชุญุช
32
+
33
+ 9
34
+ 00:00:36,420 --> 00:00:39,400
35
+ ุงู„ุฏุฑุงุณุฉ ู†ุงู‚ุต ุถุบุท ุงู„ุฌูˆ.
36
+
37
+ 10
38
+ 00:00:42,840 --> 00:00:46,500
39
+ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ุงู„ู…ุนูŠุงุฑูŠ: 101325 ุจุงุณูƒุงู„ ุฃูˆ 14.696 pound
40
+
41
+ 11
42
+ 00:00:46,500 --> 00:00:50,140
43
+ per square inch absoluteุŒ ุฃูˆ ู…ุง ูŠุนุงุฏู„ ุทูˆู„ ุนู…ูˆุฏ ู…ู†
44
+
45
+ 12
46
+ 00:00:50,140 --> 00:00:54,160
47
+ ุงู„ุฒุฆุจู‚ 760 ู…ูŠู„ูŠ ู…ุชุฑ. ุดูู†ุง ุฌุฏูˆู„ ูˆุงุญุฏ ุงู„ู„ูŠ
48
+
49
+ 13
50
+ 00:00:54,160 --> 00:00:59,340
51
+ ู‡ูŠ ุงู„ุชุญูˆูŠู„ุงุช ุจูŠู† ุงู„ุจุงุณูƒุงู„ ูˆุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู‚ูŠุงุณ
52
+
53
+ 14
54
+ 00:00:59,340 --> 00:01:05,680
55
+ ุงู„ุถุบุท. ุนุฑูู†ุง ุงู„ู€ static pressure ู‡ูˆ ุงู„ู€ ... ุงู„ู€ ...
56
+
57
+ 15
58
+ 00:01:05,680 --> 00:01:10,230
59
+ pressure filled by fluid at restุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท
60
+
61
+ 16
62
+ 00:01:10,230 --> 00:01:14,970
63
+ ุงู„ู…ุคุซุฑ ู„ู…ุง ู†ูƒูˆู† ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ fluid ุงู„ู„ูŠ ู‡ูˆ ุณูˆุงุก
64
+
65
+ 17
66
+ 00:01:14,970 --> 00:01:18,690
67
+ ูƒุงู† ุณุงุฆู„ ุฃูˆ ุบุงุฒ ููŠ ุญุงู„ ุงู„ุณูƒูˆู†ุŒ ุฃูˆ ุฅุฐุง ุฃู†ุง ูƒู†ุช ู…ุงุดูŠ
68
+
69
+ 18
70
+ 00:01:18,690 --> 00:01:23,050
71
+ ู…ุน ุงู„ู€ fluid ุจู†ูุณ ุณุฑุนุชู‡ุŒ ุฅุฐุง ููŠ ุฃู†ุจูˆุจ ู…ุงุดูŠ ุจู†ูุณ
72
+
73
+ 19
74
+ 00:01:23,050 --> 00:01:26,270
75
+ ุณุฑุนุชู‡ุŒ ุจู‚ูŠุณ static pressure. ุงู„ู€ total pressure ุงู„ู€
76
+
77
+ 20
78
+ 00:01:26,270 --> 00:01:31,990
79
+ ...ุฃูˆ ุงู„ู€ dynamic pressure ู‡ูˆ ุงู„ู€ pressure ุงู„ู†ุงุชุฌ ุนู†
80
+
81
+ 21
82
+ 00:01:31,990 --> 00:01:36,400
83
+ ุงู„ู€ kinetic energy ู„ู„ู€ fluid ุฅุฐุง ูƒุงู† ู…ุชุญุฑูƒ. ู…ุนุทู‰ ู„ู€
84
+
85
+ 22
86
+ 00:01:36,400 --> 00:01:39,380
87
+ ุงู„ุฃู‚ู„ ู‡ูŠ ยฝ ฯVยฒ. ูˆ ุงู„ู€ total
88
+
89
+ 23
90
+ 00:01:39,380 --> 00:01:44,460
91
+ pressure ู‡ูˆ ู…ุฌู…ูˆุน ุงู„ู€ static pressure ูˆ ุงู„ู€
92
+
93
+ 24
94
+ 00:01:44,460 --> 00:01:46,480
95
+ dynamic pressure. ู‡ูˆ ุงู„ู€ force per unit area ุงู„ู„ูŠ ุฃู†ุง
96
+
97
+ 25
98
+ 00:01:46,480 --> 00:01:53,380
99
+ ุจุญุณ ููŠู‡ ู„ู…ุง ุฃู†ุง ุฃุนู…ู„ ุฃูŠ ู‚ูŠุงุณ ู„ู„ู€ fluidุŒ ูŠุนู†ูŠ ุงู„ู€ fluid
100
+
101
+ 26
102
+ 00:01:53,380 --> 00:01:55,860
103
+ ู…ุชุญุฑูƒุŒ ุจุฃุนู…ู„ ุฃูŠ ู‚ูŠุงุณุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู€ total pressure. ูŠุฌุจ
104
+
105
+ 27
106
+ 00:01:55,860 --> 00:02:00,360
107
+ ู…ู†ู‡ static ูˆูŠุฌุจ ู…ู†ู‡ dynamic ู„ู‚ูŠุงุณ ุงู„ู€ total
108
+
109
+ 28
110
+ 00:02:00,360 --> 00:02:06,860
111
+ pressure. ูˆ ุงู„ู€ static pressure ุจู†ุณุชุฎุฏู… ู…ุง ูŠุณู…ู‰ ุงู„ู€
112
+
113
+ 29
114
+ 00:02:06,860 --> 00:02:11,100
115
+ Pitot tube. ุดุฑุญู†ุง ุงูŠุด ุทุฑูŠู‚ุฉ ุนู…ู„ู‡.
116
+
117
+ 30
118
+ 00:02:18,320 --> 00:02:20,800
119
+ ุงู„ู€ static ูˆ ุงู„ู€ dynamic pressure. ู„ุญุธุฉ ุงู„ู€ static
120
+
121
+ 31
122
+ 00:02:20,800 --> 00:02:24,320
123
+ pressure ุนู†ุฏ ุญุงุฌุฒ ุงู„ู€ fluidุŒ ุจูŠูƒูˆู† ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„ู€ fluid
124
+
125
+ 32
126
+ 00:02:24,320 --> 00:02:29,040
127
+ ุนู†ุฏ ุฌุฏุฑุงู†ุŒ ุจุชูƒูˆู† ุณุฑุนุฉ ุงู„ู€ fluid zero. ูˆ ุงู„ุชุงู„ูŠ ุฅุฐุง ุฃุฎุฏุช
128
+
129
+ 33
130
+ 00:02:29,040 --> 00:02:32,500
131
+ ุงู„ู†ุจูˆุจ ู…ู† ู‡ู†ุงุŒ ุจุฃุฎุฐ ุงู„ู€ static pressure. ูุฅุฐุง ูƒู†ุง
132
+
133
+ 34
134
+ 00:02:32,500 --> 00:02:35,960
135
+ ุนู†ุฏู†ุง ู‡ู†ุง manometerุŒ ุงู„ู€ head ู‡ุฐุง ูŠู…ุซู„ ุงู„ู€ static
136
+
137
+ 35
138
+ 00:02:35,960 --> 00:02:39,720
139
+ pressure. ู„ูƒู† ู„ูˆ ุญุทูŠุช ุงู„ู†ุจูˆุจ ู…ู† ุงู„ู†ุตุŒ ู‡ุฐุง ู‡ูŠุนุทูŠู†ูŠ
140
+
141
+ 36
142
+ 00:02:39,720 --> 00:02:45,350
143
+ ุฅูŠุดุŸ ุงู„ู€ total pressureุŒ ุงู„ู„ูŠ ู‡ูˆ static ุฒุงุฆุฏ dynamic.
144
+
145
+ 37
146
+ 00:02:45,350 --> 00:02:47,730
147
+ ูู‡ุฐุง ูŠูƒูˆู† ุงู„ู€ total pressureุŒ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
148
+
149
+ 38
150
+ 00:02:47,730 --> 00:02:55,290
151
+ static pressure ุฒุงุฆุฏ dynamic pressure. ุทุจุนุง
152
+
153
+ 39
154
+ 00:02:55,290 --> 00:03:02,090
155
+ ุนู…ู„ูŠุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุชุชุถู…ู† ุชุญูˆูŠู„ ุงู„ุถุบุท ู„ู‚ูˆุฉุŒ ูˆู…ู† ุซู…
156
+
157
+ 40
158
+ 00:03:02,090 --> 00:03:07,470
159
+ ู‚ูŠุงุณ ุงู„ู‚ูˆุฉ. ูŠุนู†ูŠ ุจุญูˆู„ ุงู„ุถุบุท ู„ู€ forceุŒ ูˆ ุจุนุฏูŠู† ุจู‚ูŠุณ ุงู„ู€
160
+
161
+ 41
162
+ 00:03:07,470 --> 00:03:07,850
163
+ force.
164
+
165
+ 42
166
+ 00:03:10,500 --> 00:03:15,660
167
+ ุงู„ู€ force measurement ู…ู…ูƒู† ุชูƒูˆู† ู‚ูŠุงุณ ู…ุจุงุดุฑ ุฃูˆ ู‚ูŠุงุณ
168
+
169
+ 43
170
+ 00:03:15,660 --> 00:03:20,220
171
+ ุบูŠุฑ ู…ุจุงุดุฑ. ุงู„ู€ direct measurement ุฃู†ู‡ ุจู‚ุงุฑู† ุงู„ู€ force
172
+
173
+ 44
174
+ 00:03:20,220 --> 00:03:27,380
175
+ ู…ุน weight of some objectุŒ ุฃูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ liquid. ุงู„ู€
176
+
177
+ 45
178
+ 00:03:27,380 --> 00:03:32,420
179
+ indirect force measurementุŒ ุงู„ู€ force ู…ู…ูƒู† ุชุนู…ู„ูŠ
180
+
181
+ 46
182
+ 00:03:32,420 --> 00:03:36,680
183
+ deflection. ู…ู…ูƒู† ุฃู‚ูŠุณู‡ุง ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูŠูƒูŠุฉุŒ ุฃู‚ูŠุณ ุงู„ู€ deflection
184
+
185
+ 47
186
+ 00:03:36,680 --> 00:03:42,000
187
+ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูŠูƒูŠุฉุŒ mechanical ุฃูˆ ุงู„ู€ deflectionุŒ ุฃุฑูƒุจ
188
+
189
+ 48
190
+ 00:03:42,000 --> 00:03:47,450
191
+ strain gaugeุŒ strain gaugeุŒ ูŠุนู†ูŠ resistance. ุงู„ู‚ูŠู…ุฉ ุงู„ู€
192
+
193
+ 49
194
+ 00:03:47,450 --> 00:03:53,090
195
+ resistance ุชุชุบูŠุฑ ู…ุน ุงู„ู€ deflectionุŒ ูุจุญุตู„ ุนู„ู‰ signal
196
+
197
+ 50
198
+ 00:03:53,090 --> 00:03:57,090
199
+ electrical signal that is measurableุŒ ู…ู† ุฎู„ุงู„ ู…ุง
200
+
201
+ 51
202
+ 00:03:57,090 --> 00:04:00,190
203
+ ุนุฑูุช ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุชุบูŠุฑ ููŠ ุงู„ู€ electrical property
204
+
205
+ 52
206
+ 00:04:00,190 --> 00:04:03,390
207
+ ู…ุน ุงู„ู€ deflectionุŒ ูˆ ุงู„ู€ deflection ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ู€
208
+
209
+ 53
210
+ 00:04:03,390 --> 00:04:06,270
211
+ pressureุŒ ุฃูˆ ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ู€ forceุŒ ุงู„ู€ force ุงู„ู„ูŠ ู‡ูŠ ุนู„ุงู‚ุฉ ุงู„ู€
212
+
213
+ 54
214
+ 00:04:06,270 --> 00:04:09,330
215
+ pressure. ู…ู…ูƒู† ุฃุญุณุจ ุฃูˆ ุฃู‚ูŠุณ ุงู„ุถุบุท.
216
+
217
+ 55
218
+ 00:04:13,550 --> 00:04:17,610
219
+ ุญูƒูŠ ู‡ู†ุง ุงู„ู…ุฑูู‚ ุนู„ู‰ ุงู„ู€ dead weight tester. ุงู„ู€ dead
220
+
221
+ 56
222
+ 00:04:17,610 --> 00:04:23,750
223
+ weight testerุŒ ุจูŠูƒูˆู† ุนู†ุฏูŠ ... ุนู†ุฏูŠ ู‡ู†ุง ููŠู‡ fluidุŒ ุฒูŠุช
224
+
225
+ 57
226
+ 00:04:23,750 --> 00:04:30,190
227
+ ูˆ ุจูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง weightุŒ ูˆุนู†ุฏูŠ piston. ุงู„ู€ weight
228
+
229
+ 58
230
+ 00:04:30,190 --> 00:04:33,190
231
+ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ุนู„ู‰ ู…ุณุงุญุฉ ุงู„ู€ piston
232
+
233
+ 59
234
+ 00:04:33,190 --> 00:04:38,110
235
+ ุจุชุนุทูŠู†ูŠ ุงูŠุดุŸ ุถุบุท pressure. ู„ุฃู† ู‡ู†ุง ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุฃู†ุง ุจุฏูŠ
236
+
237
+ 60
238
+ 00:04:38,110 --> 00:04:42,140
239
+ ุฃุนู…ู„ู‡ calibration ุฃูˆ ู…ุนุงูŠุฑุฉุŒ ู‡ูˆ ุฌู‡ุงุฒ ุจุบุถ ุงู„ู†ุธุฑ ุงูŠุด
240
+
241
+ 61
242
+ 00:04:42,140 --> 00:04:47,240
243
+ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุฃูˆ ุทุฑูŠู‚ุฉ ู‚ูŠุงุณู‡ุŒ ู‡ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ. ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ
244
+
245
+ 62
246
+ 00:04:47,240 --> 00:04:56,420
247
+ ุงูŠุดุŸ ู„ู„ู…ู‚ุงุฑู†ุฉุŒ ุจุนู…ู„ calibration. ุงู„ู€
248
+
249
+ 63
250
+ 00:04:56,420 --> 00:05:00,640
251
+ manometer. ุงู„ู€ manometer ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ุŒ ู‡ูˆ device ู„ู‚ูŠุงุณ
252
+
253
+ 64
254
+ 00:05:00,640 --> 00:05:05,120
255
+ ุงู„ุถุบุท. ุงู„ุขู† ุจูŠูƒูˆู† ุนู†ุฏูŠ ุฃู†ุจูˆุจ ุนู„ู‰ ุดูƒู„ ุญุฑู U.
256
+
257
+ 65
258
+ 00:05:07,600 --> 00:05:12,020
259
+ ุนู†ุฏูŠ pressure to be measuredุŒ ู‡ูŠ ู…ุฏุฎู„ ุงู„ุถุบุทุŒ ุงู„ุบุงุฒ
260
+
261
+ 66
262
+ 00:05:12,020 --> 00:05:19,080
263
+ ุงู„ู„ูŠ ุจุฏู‡ ุฃู‚ูŠุณ ุถุบุทู‡. ู„ุฃู† ู„ู…ุง ูŠูƒูˆู† ุงู„ุถุบุท ู‡ูŠู†ุฒู„ ุงู„ู€
264
+
265
+ 67
266
+ 00:05:19,080 --> 00:05:25,420
267
+ liquid ูˆ ูŠุทู„ุน ู„ุฃุนู„ู‰. ุงู„ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠู…ุซู„ ุงู„ุถุบุท
268
+
269
+ 68
270
+ 00:05:25,420 --> 00:05:30,470
271
+ ุงู„ู€ gauge pressureุŒ ุงู„ู„ูŠ ู‡ูˆ = ฯghุŒ ฯgh. ุงู„ู€ ฯ ุงู„ู„ูŠ ู‡ูŠ ูƒุซุงูุฉ ุงู„ุณุงุฆู„ุŒ ุงู„ู€ g
272
+
273
+ 69
274
+ 00:05:30,470 --> 00:05:36,390
275
+ ู‡ูŠ ุงู„ู€ gravity ุงู„ู„ูŠ ู‡ูŠ 9.806ุŒ ูˆ ุงู„ู€ h ุงุฑุชูุงุน ุงู„ุนู…ูˆุฏ
276
+
277
+ 70
278
+ 00:05:36,390 --> 00:05:42,450
279
+ ุนู…ูˆุฏ ุงู„ู€ liquid. ุงู„ู€ typical liquid ุงู„ู…ุณุชุฎุฏู… ุนุงุฏุฉ
280
+
281
+ 71
282
+ 00:05:42,450 --> 00:05:46,230
283
+ ุงู„ุฒุฆุจู‚ุŒ ู„ุฃู† ูƒุซุงูุฉ ุงู„ุฒุฆุจู‚ ุญูˆุงู„ูŠ 14 ุถุนู ูƒุซุงูุฉ
284
+
285
+ 72
286
+ 00:05:46,230 --> 00:05:50,610
287
+ ุงู„ู…ุงุก. ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ุงุฑุชูุงุน h ูƒุชูŠุฑ.
288
+
289
+ 73
290
+ 00:05:50,610 --> 00:05:56,150
291
+ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ู…ุงุกุŒ ุงุฑุชูุงุน ุนู…ูˆุฏ ุงู„ู…ุงุก 14 ุถุนู.
292
+
293
+ 74
294
+ 00:06:00,480 --> 00:06:05,180
295
+ ุงู„ุขู† ู„ูˆ ุฃู†ุง ุจุฏูŠ ุฃู‚ูŠุณ ุถุบุท ู…ู†ุฎูุถุŒ ุจุญุท liquid ุฎููŠู
296
+
297
+ 75
298
+ 00:06:05,180 --> 00:06:10,520
299
+ ูƒุซุงูุชู‡ ู‚ู„ูŠู„ุฉุŒ ุนุดุงู† ุฃุณุชุดุนุฑ ุฃุตุบุฑ ุชุบูŠูŠุฑ ููŠ ุงู„ู€ pressure.
300
+
301
+ 76
302
+ 00:06:10,520 --> 00:06:19,920
303
+ ู„ูƒู† ู„ูˆ ูƒุงู† ุถุบุท ู…ุฑุชูุนุŒ ูุจูุถู„ ุงุณุชุฎุฏู… ุฒุฆุจู‚. ุทุจุนุง
304
+
305
+ 77
306
+ 00:06:19,920 --> 00:06:26,120
307
+ ุงู„ู€ manometer ุงู„ู„ูŠ ู…ู† ู…ุฒุงูŠุงู‡ ุฃู†ู‡ ุณู‡ู„ ูˆุฑุฎูŠุตุŒ ูˆ
308
+
309
+ 78
310
+ 00:06:26,120 --> 00:06:28,940
311
+ ุชู‚ุฑูŠุจุง ุงู„ู€ error ููŠู‡ ู…ู†ุฎูุถ.
312
+
313
+ 79
314
+ 00:06:31,330 --> 00:06:35,670
315
+ ุงู„ู€ disadvantage ุงู„ู„ูŠ ู‡ูˆ poor dynamic responseุŒ ุฅุฐุง
316
+
317
+ 80
318
+ 00:06:35,670 --> 00:06:41,370
319
+ ูƒุงู† ุถุบุท ุงู„ู…ุตุฏุฑ ุจูŠุชุบูŠุฑ ุจุดูƒู„ ุณุฑูŠุนุŒ ุงู„ุงุณุชุฌุงุจุฉ ุจุชุงุนุชู‡
320
+
321
+ 81
322
+ 00:06:41,370 --> 00:06:47,970
323
+ ุจุชูƒูˆู†ุด ุณุฑูŠุนุฉ. ุทุจุนุง ูˆ not practical ู„ู‚ูŠุงุณ ุถุบูˆุท
324
+
325
+ 82
326
+ 00:06:47,970 --> 00:06:52,830
327
+ ู…ุฑุชูุนุฉ. ุฅุฐุง ูƒุงู† ุงู„ุถุบุท ุฃุนู„ู‰ ู…ู† 200 ูƒูŠู„ูˆ ุจุงุณูƒุงู„ุŒ ูŠุนู†ูŠ ู…ุด
328
+
329
+ 83
330
+ 00:06:52,830 --> 00:06:58,290
331
+ ู…ู†ุงุณุจุŒ ุจุฏูƒ ุชุดูˆู ุฌู‡ุงุฒ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ. ุชุนุฑู‘ูู†ุง ุนู„ู‰ ุงู„ู€
332
+
333
+ 84
334
+ 00:06:58,290 --> 00:07:00,910
335
+ well-type manometer. well-typeุŒ ุจูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง
336
+
337
+ 85
338
+ 00:07:00,910 --> 00:07:05,610
339
+ container ููŠู‡ liquid. ู‡ุฐุง ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุฃู‚ูŠุณู‡.
340
+
341
+ 86
342
+ 00:07:05,610 --> 00:07:10,490
343
+ ู„ู…ุง ุฃุถุบุท ู‡ู†ุงุŒ ุจูŠุฑุชูุน ุงู„ุนู…ูˆุฏ. ุทุจุนุง ุฃู†ุง ุนู†ุฏ ุงู„ู€
344
+
345
+ 87
346
+ 00:07:10,490 --> 00:07:15,350
347
+ reference. ุงู„ู€ reference ุงูŠู‡ุŸ ู‡ุงูŠ ุงู„ู€ reference ุซุงุจุชุฉ.
348
+
349
+ 88
350
+ 00:07:15,350 --> 00:07:18,710
351
+ ู„ูƒู† ู„ุฃู† ุงู„ู€ cross section ุจุชุงุนุฉ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
352
+
353
+ 89
354
+ 00:07:18,710 --> 00:07:25,390
355
+ ุฃุนู„ู‰ ุจูƒุซูŠุฑ ู…ู† ู‡ุฐู‡ุŒ ุงู„ู€ X ู‡ุฐู‡ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง
356
+
357
+ 90
358
+ 00:07:25,390 --> 00:07:35,190
359
+ insignificantุŒ ู„ูŠุณุช ุฐุงุช ู‚ูŠู…ุฉ. ุทูŠุจ.
360
+
361
+ 91
362
+ 00:07:35,190 --> 00:07:41,370
363
+ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง ููŠ ู†ูˆุน ุซุงู†ูŠ ุงุณู…ู‡ Bourdon tube gauge.
364
+
365
+ 92
366
+ 00:07:41,370 --> 00:07:46,350
367
+ Bourdon tube gauge. ุงู„ู€ Bourdon tube gauge ุจูŠุดุชุบู„
368
+
369
+ 93
370
+ 00:07:46,350 --> 00:07:52,930
371
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ูŠุฉ: ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู‡ุฐุง ุฃู†ุจูˆุจ ู…ุณูƒุฑ
372
+
373
+ 94
374
+ 00:07:52,930 --> 00:07:57,370
375
+ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุฃู‚ูŠุณู‡ ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุงุŒ ุงู„ุบุงุฒ ุฃูˆ
376
+
377
+ 95
378
+ 00:07:57,370 --> 00:08:04,250
379
+ ุงู„ู€ liquid ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง. ู‡ุฐุง ุงู„ุฃู†ุจูˆุจ ู…ุด ุฏุงุฆุฑุฉ ูƒุงู…ู„ุฉุŒ
380
+
381
+ 96
382
+ 00:08:04,250 --> 00:08:08,050
383
+ ุฃู‚ู„ ู…ู† 360 ุฏุฑุฌุฉ. ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ุง ุจูŠุถุงูˆูŠ.
384
+
385
+ 97
386
+ 00:08:08,050 --> 00:08:12,750
387
+ ุงู„ู…ู‚ุทุน ุงู„ุฃู†ุจูˆุจ ุงู„ู„ูŠ ุนู…ู„ุช ู…ู‚ุทุน ู…ุณุชุนุฑุถุŒ ุงู„ู…ู‚ุทุน ุจูŠุถุงูˆูŠ.
388
+
389
+ 98
390
+ 00:08:12,750 --> 00:08:19,950
391
+ ู„ุฃู† ู„ูˆ ุฏุฎู„ fluid ู…ุถุบูˆุทุŒ ูŠุนู†ูŠ ุฅุฐุง ุดูƒู„ู‡ ุจูŠุถุงูˆูŠุŒ ู‡ุฃุญุงูˆู„
392
+
393
+ 99
394
+ 00:08:19,950 --> 00:08:26,560
395
+ ุงูŠุดุŸ ูŠุชุฏูˆุฑุŒ ูŠุตูŠุฑ ุงูŠุดุŸ ู…ู‚ุทุน ุฏุงุฆุฑูŠ ู†ุชูŠุฌุฉ ุงู„ู€ deflection.
396
+
397
+ 100
398
+ 00:08:26,560 --> 00:08:35,500
399
+ ุงู„ู„ูŠ ุชุชุญูˆู„ ู…ู† ู…ู‚ุทุน ุจูŠุถุงูˆูŠ ู„ู…ู‚ุทุน ุฏุงุฆุฑูŠุŒ ุจูŠุตูŠุฑ ู„ู‡ ุญุฑูƒุฉ.
400
+
401
+ 101
402
+ 00:08:35,500 --> 00:08:40,180
403
+ ุจูŠุตูŠุฑ ู‡ุฐุงุŒ ุจูŠุตูŠุฑ
404
+
405
+ 102
406
+ 00:08:40,180 --> 00:08:45,040
407
+ ุฒูŠ ู‡ูŠูƒุŒ ุจูŠุชุญุฑูƒุŒ ุจูŠุญุงูˆู„
408
+
409
+ 103
410
+ 00:08:45,040 --> 00:08:51,810
411
+ ุงูŠุดุŸ ูŠุชุญุฑูƒ. ุงู„ุขู† ุงู„ุทุฑู ุจุชุงุนู‡ ู…ูˆุตูˆู„ ุจู€ link. ู‡ุฐู‡ linkุŒ ูˆ
412
+
413
+ 104
414
+ 00:08:51,810 --> 00:08:54,930
415
+ ููŠู‡ ุนู†ุฏูŠ ูƒู…ุงู† link ุซุงู†ูŠุฉ. ู‡ุฐุง ุงู„ู…ุญูˆุฑ ุงูŠุด ุงุณู…ู‡ุŸ ู‡ุฐุง
416
+
417
+ 105
418
+ 00:08:54,930 --> 00:08:58,590
419
+ ู…ุญูˆุฑ ุซุงุจุช.
420
+
421
+ 106
422
+ 00:08:58,590 --> 00:09:04,490
423
+ ู‡ุฐุง ู‡ุฃุญุงูˆู„ ูŠุชุญุฑูƒ. ู„ู…ุง ูŠุชุญุฑูƒ ุงู„ุฏุฑุงุน ู‡ุฐุงุŒ ุจูŠุณุญุจุŒ ูู‡ุฐุง
424
+
425
+ 107
426
+ 00:09:04,490 --> 00:09:12,490
427
+ ุงูŠุด ุงุณู…ู‡ุŸ ู‡ูŠู„ู. ู„ู…ุง ูŠู„ู ุงู„ุชุฑุณ ู‡ุฐุงุŒ ุจูŠุชุญุฑูƒุŒ ูู‡ุฐุง ุจูŠุชุญุฑูƒ.
428
+
429
+ 108
430
+ 00:09:12,490 --> 00:09:18,690
431
+ ู„ูŠุด ู…ุด ุงู„ู„ูŠ ุฃุนู„ู‰ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ุงู„ู€ pressureุŸ ู‡ุฐุง
432
+
433
+ 109
434
+ 00:09:18,690 --> 00:09:19,470
435
+ ุงุณู…ู‡ ุงู„ู€ Bourdon.
436
+
437
+ 110
438
+ 00:09:24,550 --> 00:09:29,630
439
+ ุฌูŠุฌ. ูุงู„ููƒุฑุฉ ู‡ูˆ ุฃู†ุง ุจูŠูƒูˆู† ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ ุจูŠุถุงูˆูŠ ู†ุชูŠุฌุฉ ุงู„ู€
440
+
441
+ 111
442
+ 00:09:29,630 --> 00:09:33,610
443
+ pressure ุฌูˆู‡ุŒ ุจูŠุญูˆู„ pressureุŒ ูŠุญูˆู„ ู„ุฏุงุฆุฑุฉ. ุนุดุงู† ูŠุญูˆู„
444
+
445
+ 112
446
+ 00:09:33,610 --> 00:09:37,150
447
+ ู„ุฏุงุฆุฑุฉุŒ ุจูŠุตูŠุฑ ุจุชุชุญุฑูƒ ุงู„ุทุฑู ู‡ุฐุง. ุงู„ุทุฑู ู‡ุฐุง ู…ูˆุตูˆู„ ุจุงู„ู€
448
+
449
+ 113
450
+ 00:09:37,150 --> 00:09:40,610
451
+ link. ุงู„ู€ link ู…ูˆุตูˆู„ ุจุงู„ู€ link ู‡ุฐุงุŒ ุณุงู…ุนู‡ ุงู„ู€ crank.
452
+
453
+ 114
454
+ 00:09:40,610 --> 00:09:47,330
455
+ ุทุฑูู‡ุง ุนู„ู‰ ุดูƒู„ ุชุฑุณุŒ ูˆุฌู‡ู‡ุง ู…ุน ุชุฑุณุŒ ูู‡ุฐุง ู‡ูŠุฏูˆุฑุŒ ุจุฏูˆุฑุŒ ูุจูŠุทู„ุน
456
+
457
+ 115
458
+ 00:09:47,330 --> 00:09:56,540
459
+ ู…ุน ุงู„ู€ ... ุงู„ุชุฑุณ ุงู„ู„ูŠ ุตุบูŠุฑุŒ ุจุฏูˆุฑ ุงู„ุชุฑุณ ... ู†ุนู…ุŒ ุงู‡.
460
+
461
+ 116
462
+ 00:09:56,540 --> 00:10:04,540
463
+ ูŠุนู†ูŠ ุฃู†ุช ุฌูŠุจ ุจู„ูˆู† ... ุฌูŠุจ ุจู„ูˆู† ุงู„ุทูˆูŠู„ุŒ ุงู„ุฑููŠุนุŒ ู…ุด ุจู„ูˆู†
464
+
465
+ 117
466
+ 00:10:04,540 --> 00:10:10,920
467
+ ุชู‚ู„ูŠุฏูŠ. ู‡ูˆ ูุงุถูŠุŒ ู…ููŠุด ููŠู‡ ู‡ูˆุง. ุงูŠุด ุจูŠูƒูˆู†ุŸ ุจูŠูƒูˆู† ุงู„ู…ู‚ุทุน
468
+
469
+ 118
470
+ 00:10:10,920 --> 00:10:16,340
471
+ ุจุชุงุนู‡ ุจูŠูƒูˆู† ู‡ุฐุง ุจู„ูˆู† ู…ุณุงุญุŒ ู…ู‚ุทุน ุจูŠุถุงูˆูŠ.
472
+
473
+ 119
474
+ 00:10:16,340 --> 00:10:17,620
475
+ ู‡ูˆุŒ ู…ุธุจูˆุทุŸ
476
+
477
+ 120
478
+ 00:10:21,050 --> 00:10:24,670
479
+ ุทุจุนุง ู‡ุชุณู…ุนู‡ ูƒุฃู†ู†ุง ู…ูƒุจุฑูŠู†ู‡ ุดูˆูŠุฉุŒ ูŠุนู†ูŠ ูุนู„ูŠุง ุงู„ู…ู‚ุทุน
480
+
481
+ 121
482
+ 00:10:24,670 --> 00:10:30,650
483
+ ุจุชุงุนู‡ ุจูŠูƒูˆู† ุงูŠุดุŸ ู…ุณุชุทูŠู„ ... ู…ุณุชุทูŠู„ ุฒูŠ ู‡ูŠูƒุŒ ู„ู…ุง ุชู†ูุฎู‡
484
+
485
+ 122
486
+ 00:10:30,650 --> 00:10:38,190
487
+ ุจูŠุจู‚ู‰ ู…ุณุชุทูŠู„. ู„ุฃุŒ
488
+
489
+ 123
490
+ 00:10:38,190 --> 00:10:44,350
491
+ ุจูŠุบูŠุฑุด. ู‡ุฐุง ุจูŠูƒูˆู† ู…ุนุฏู†ูŠ ... metalุŒ ุจุณ ููŠู‡ elasticity.
492
+
493
+ 124
494
+ 00:10:44,350 --> 00:10:51,870
495
+ ููŠู‡ elasticity. ุงู„ุขู† ุงู„ุดูƒู„ ุงู„ุจูŠุถุงูˆูŠ ุฃุญุณู† ุดูƒู„ ุนุดุงู†
496
+
497
+ 125
498
+ 00:10:51,870 --> 00:10:57,870
499
+ ูŠูˆุฒู‘ุน ุงู„ุถุบุท. ุจูŠุญุงูˆู„ ูŠุชุฏูˆุฑุŒ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุฏูˆูŠุฑ ุจูŠุตูŠุฑ
500
+
501
+ 126
502
+ 00:10:57,870 --> 00:11:01,850
503
+ ู„ู‡ ุงูŠุดุŸ ุนุดุงู† ุญุฑูƒุฉุŒ ู„ุฃู† ู…ู† ู‡ู†ุง fixed ูˆู…ู† ู‡ู†ุง fixed.
504
+
505
+ 127
506
+ 00:11:01,850 --> 00:11:08,290
507
+ ู…ุง ุจู…ุณูƒูˆุง ูƒูˆูŠุณ ู‡ู†ุงุŒ ููƒู„ ู…ุง ู†ุจุนุฏุŒ ูƒู„ ู…ุง ูŠุญุงูˆู„ ูŠุชุญุฑูƒ.
508
+
509
+ 128
510
+ 00:11:08,290 --> 00:11:15,590
511
+ ูุงู„ุญุฑูƒุฉ ู‡ุฐู‡ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ุŒ ูู‡ูˆ ูุนู„ูŠุง ู…ุชุญุฑูƒ. ู„ุฃุŒ ูุนู„ูŠุง
512
+
513
+ 129
514
+ 00:11:15,590 --> 00:11:20,270
515
+ ุงู„ุทุฑู ู‡ุฐุง ู…ุชุญุฑูƒุŒ ู…ู† ู‡ู†ุง ุซุงุจุช. ูŠุนู†ูŠ ุฃู†ุช ุนู†ุฏูƒ ู‡ู†ุง ุดุงูŠู
516
+
517
+ 130
518
+ 00:11:20,270 --> 00:11:24,650
519
+ ู‡ุฐู‡ุŒ ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุงุŒ ูˆุฑุง ุงู„ู…ุคุดุฑุŒ ูˆุฑุง ุงู„ู…ุคุดุฑ ููŠู‡
520
+
521
+ 131
522
+ 00:11:24,650 --> 00:11:30,350
523
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ู‡ุฐู‡ุŒ ูˆุฑุง ุงู„ู…ุคุดุฑ. ุดุงูŠู ูƒูŠู ู‡ุฐู‡ ู…ุจุณูˆุทุฉ ู…ู†
524
+
525
+ 132
526
+ 00:11:30,350 --> 00:11:35,170
527
+ ู‡ู†ุง ูˆู‡ู†ุง. ุนู†ุฏูƒ ู…ุซู„ุงุŒ ุฃู†ุง ุจู‚ูŠุณ ููŠ ู‡ุฐุง ุงู„ุฃู†ุจูˆุจุŒ ุฃู†ุง ุจูƒูˆู†
528
+
529
+ 133
530
+ 00:11:35,170 --> 00:11:46,070
531
+ ุนุงู…ู„ ุญุฑู T ู‡ู†ุงุŒ ูˆู…ุณู†ู‘ู†ุฉ. ู‡ุฐุง ุงู„ุฃู†ุจูˆุจ ุนู†ุฏู‡ ู…ุถุงุฑุจุŒ
532
+
533
+ 134
534
+ 00:11:46,070 --> 00:11:46,890
535
+ ุฏู‚ูŠู‚ุฉ. ุจุฏุฎู„ ู…ู† ู‡ู†ุง.
536
+
537
+ 135
538
+ 00:11:50,350 --> 00:11:56,070
539
+ ูุงู„ุถุบุท ุงุฑุชูุนุŒ ู‡ุฐุง ุจุชุชุญุฑูƒุŒ ูˆุฑุงู‡ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ูŠ ู‡ูŠ
540
+
541
+ 136
542
+ 00:11:56,070 --> 00:12:02,770
543
+ ุงู„ู„ูŠ ู‡ุฐู‡ ู‡ู†ุนู…ู„ู‡ุงุŒ ุฃู†ุช ู…ุด ุดุงูŠูู‡ุงุŒ ูˆููŠ ุนู†ุฏูƒ ุชุฑุณ ู‡ู†ุงุŒ
544
+
545
+ 137
546
+ 00:12:02,770 --> 00:12:11,870
547
+ ูˆููŠ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ ุชุฑุณ ุงูŠุดุŸ ุฒูŠ ู‡ูŠูƒุŒ ู„ู…ุง ู‡ุฐุง ูŠุชุญุงูˆู„ ุชุญุฑูƒ
548
+
549
+ 138
550
+ 00:12:11,870 --> 00:12:17,190
551
+ ุจูŠุทู„ุน ู„ุฃุนู„ู‰ุŒ ุจุชุญุงูˆู„ ุชุทู„ุน ู„ุฃุนู„ู‰ุŒ ุจุชุดุฏ ู‡ุฐุงุŒ ุจูŠุญุงูˆู„ ูŠุชุญุฑูƒ
552
+
553
+ 139
554
+ 00:12:17,190 --> 00:12:21,730
555
+ ุจ ู‡ุฐุง ุงู„ุงุชุฌุงู‡. ู‡ุฐุง ุจูŠุฏูˆุฑ ุงูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉุŒ
556
+
557
+ 140
558
+ 00:12:21,730 --> 00:12:26,450
559
+ counter clockwise. ู‡ุฐุง ุจูŠุจู‚ู‰ ู†ุชูˆุญุฏุŒ ูˆุฑู‚ ุงูŠุดุŸ ุนูƒุณู‡ุŒ
560
+
561
+ 141
562
+ 00:12:26,450 --> 00:12:32,110
563
+ ุฅุฐุง ู‡ุฐุง counterุŒ ู‡ุฐุง clockwiseุŒ clockwiseุŒ ุจุฑูุน ุงูŠุดุŸ
564
+
565
+ 142
566
+ 00:12:32,110 --> 00:12:38,830
567
+ ุงู„ู…ุคุดุฑุŸ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ. ู†ุนู….
568
+
569
+ 143
570
+ 00:12:46,880 --> 00:12:50,820
571
+ ุฃูŠูˆุฉุŒ ุจูŠุนุทูŠ ุถุบุท ุฒูŠุงุฏุฉ ุนู„ู‰ ุงู„ู€ liquidุŸ ู„ุฃุŒ ุฏู‡ ุงู„ู€ liquid
572
+
573
+ 144
574
+ 00:12:50,820 --> 00:12:55,300
575
+ ู†ุงุดูŠุก ุทุจุนุง. ู‡ูˆ ุงู„ู€ physical constraints ุงู„ู„ูŠ ุจุญูƒูŠู‡ุŒ
576
+
577
+ 145
578
+ 00:12:55,300 --> 00:12:58,140
579
+ ุตุญูŠุญุŒ physical constraints. ุฃู†ุง ู…ุง ุฃู†ุง ุฃู‚ูŠุณ ุถุบุท ูู…ุชุฑ
580
+
581
+ 146
582
+ 00:12:58,140 --> 00:13:03,200
583
+ ุงูŠู‡ุŸ ูƒูŠู ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท ุงู„ุญู‚ูŠู‚ูŠุŸ ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท
584
+
585
+ 147
586
+ 00:13:03,200 --> 00:13:07,580
587
+ ุงู„ุญู‚ูŠู‚ูŠุŒ ุจุณ ุงู„ุชุฃุซูŠุฑ ุจูŠูƒูˆู† insignificantุŒ ูˆูƒู„
588
+
589
+ 148
590
+ 00:13:07,580 --> 00:13:11,040
591
+ research ุจูŠุตูŠุฑ ุนุดุงู† ุชู‚ู„ู„ ู…ู† ุงู„ู…ุคุซุฑุงุช ู‡ุฐู‡ุŒ ุฃูˆ
592
+
593
+ 149
594
+ 00:13:11,040 --> 00:13:16,850
595
+ ู…ุง ุชู‚ู„ู„ุดุŒ ุฃูˆ ุชุฃุฎุฐู‡ุง ููŠ ุงู„ุงุนุชุจุงุฑ ููŠ ุงู„ู€ design. ูŠุนู†ูŠ
596
+
597
+ 150
598
+ 00:13:16,850 --> 00:13:23,090
599
+ ู…ุซู„ุง ุงู„ู‚ุฑุงุกุฉ ู…ุซู„ุง ุชุทู„ุน ู…ุนุงูƒ 100
600
+
601
+ 151
602
+ 00:13:23,090 --> 00:13:30,570
603
+ ู…ุซู„ุงุŒ ุจุณ ู‡ูŠ ุงู„ุตุญ ู…ุซู„ุง 90 ู…ุซู„ุง ุฃูˆ 110. ู‡ุฐุง
604
+
605
+ 152
606
+ 00:13:30,570 --> 00:13:35,270
607
+ ุดุบู„ ุซุงู†ูŠุŒ ุงู„ู„ูŠ ุจุชุญูƒูŠ ุงู„ุชูุงุตูŠู„ ุญุงู„ูŠุงุŒ ุฃูƒูŠุฏ ุจุชุฃุซุฑ.
608
+
609
+ 153
610
+ 00:13:44,310 --> 00:13:49,070
611
+ ุทุจ ุงุญู†ุง ู‡ู†ุง ู…ุด ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ู€ designุŒ how to design ุงู„ู€
612
+
613
+ 154
614
+ 00:13:49,070 --> 00:13:53,470
615
+ gauge. ู…ุด ู…ูˆุถูˆุน ุงู„ู€ courseุŒ ู‡ุฐุง ู…ูˆุถูˆุน ุงูŠุด courseุŸ
616
+
617
+ 155
618
+ 00:13:53,470 --> 00:13:57,450
619
+ ู…ุงูƒูŠู†ุงุช... ู…ู…ูƒู† ุชุนู…ู„ design ู„ู„ู€ gaugeุŒ ู…ู…ูƒู† ุชุฎุชุงุฑ ุงู„ู€
620
+
621
+ 156
622
+ 00:13:57,450 --> 00:14:03,090
623
+ section ุตุญุŒ ุงู„ุฒูˆุงูŠุง ุจุชุงุนุชู‡ ุตุญุŒ ุงู„ุดูƒู„ ุงู„ุจูŠุถุงูˆูŠ ุตุญุŒ
624
+
625
+ 157
626
+ 00:14:03,090 --> 00:14:07,770
627
+ ุงู„ุณู…ุงูƒุฉ ุจุชุงุนุชู‡ุŒ ุงู„ู€ materialุŒ ุงู„ู€ linksุŒ ุงู„ู€ snapุŒ
628
+
629
+ 158
630
+ 00:14:07,770 --> 00:14:11,370
631
+ ุชูุงุตูŠู„ ุงู„ู€ moduleุŒ ุนุฏุฏู‡ุงุŒ ูˆุงู„ู‚ุทุฑุŒ ูƒู„ู‡ุง ุชูุงุตูŠู„. ู‡ุฐุง
632
+
633
+ 159
634
+ 00:14:11,370 --> 00:14:14,850
635
+ ุงุญู†ุง ... ุงุญู†ุง ููŠ ุงู„ูƒูˆุฑุณ ุฏู‡ุŒ ุงุญู†ุง ู…ุง ุจู†ุนู…ู„ุด design ู„ู€
636
+
637
+ 160
638
+ 00:14:14,850 --> 00:14:18,930
639
+ gauges ุฃูˆ ุฃุฌู‡ุฒุฉ ู‚ูŠุงุณูŠุฉุŒ ุงุญู†ุง ุจู†ุดูˆู ูƒูŠู ู†ุณุชุฎุฏู…
640
+
641
+ 161
642
+ 00:14:18,930 --> 00:14:23,550
643
+ ุงู„ุฃุฌู‡ุฒุฉ ู‡ุฐู‡ุŒ ูˆูƒูŠู ู†ุดูˆู ู…ุฏู‰ ุฏู‚ุชู‡ุงุŒ ูˆ error analysis.
644
+
645
+ 162
646
+ 00:14:23,550 --> 00:14:27,750
647
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ error analysis ุฏุฑุณู†ุงู‡ chapter ุงู„ุณุงุจู‚ุŒ
648
+
649
+ 163
650
+ 00:14:27,750 --> 00:14:32,430
651
+ chapter ุซู„ุงุซุฉ. ุงุญู†ุง ุงู„ูƒูˆุฑุณ ุฏู‡ ู…ุชุฎุตุต ุจุงูŠุดุŸ ุจุนู„ู…
652
+
653
+ 164
654
+ 00:14:32,430 --> 00:14:35,990
655
+ ุงู„ู‚ูŠุงุณุงุช ู†ูุณู‡ุงุŒ ู…ุด ุจุงู„ู€ design. ุทุจุนุง ู‡ู†ูุถู„ ููŠ ุงู„ุขุฎุฑ
656
+
657
+ 165
658
+ 00:14:35,990 --> 00:14:43,850
659
+ productุŒ ู…ู…ูƒู† ุชุนู…ู„ู‡ design ูˆู„ู‡ ุญุณุงุจุงุช ู…ุนูŠู†ุฉ. ู…ุนู†ุงุชู‡
660
+
661
+ 166
662
+ 00:14:43,850 --> 00:14:47,250
663
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ู…ุถุจูˆุทุฉ. ุฏูŠ ู„ู…ุง ุชุดูˆูู‡ุง ููŠ ุงู„ู€
664
+
665
+ 167
666
+ 00:14:47,250 --> 00:14:50,890
667
+ seriesุŒ ู‡ุฐุง ุจุชุชุญุฑูƒ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ link
668
+
669
+ 168
670
+ 00:14:50,890 --> 00:14:55,190
671
+ ู‡ุฐุง ู‡ุชู…ุดูŠ ู‡ูŠูƒุŒ ู‡ุชุชุญุฑูƒุŒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ูŠุณูŠุฑุŒ ู‡ูŠุฏูˆุฑ
672
+
673
+ 169
674
+ 00:14:55,190 --> 00:15:02,150
675
+ ุงูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉ. ู‡ุฐุง ุชุฑุณุŒ ู‡ุฐุง ู‡ูŠุฏูˆุฑ ุจุงูŠุดุŸ
676
+
677
+ 170
678
+ 00:15:03,420 --> 00:15:08,860
679
+ ุจุงุชุฌุงู‡ู‡ุŒ ู‚ุงู„ูˆุง ุณูŠู…ุง ู†ุชูˆุŒ ุงู„ู…ุคุดุฑ ุงูŠุดุŸ ู‡ูŠุชุญุฑูƒ.
680
+
681
+ 171
682
+ 00:15:08,860 --> 00:15:17,220
683
+ ู‡ูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉุŒ ู‡ุฐุง.
684
+
685
+ 172
686
+ 00:15:17,220 --> 00:15:28,28
687
+
688
+ 223
689
+ 00:19:51,890 --> 00:19:57,350
690
+ ูŠุนู…ู„ ู„ู‡ุง ู„ูŠูƒุฌ ุตุญุŒ ูˆุฅุฐุง ุฃูƒุซุฑ ู…ู† ุงู„ู„ุงุฒู… ู…ู…ูƒู† ูŠุณูˆูŠ
691
+
692
+ 224
693
+ 00:19:57,350 --> 00:20:04,370
694
+ ูŠุตูŠุฑ ูƒุณุฑ ู„ู„ุณู†ุŒ ุตุงุฑ ูƒุณุฑ ู„ู„ุณู†ุŒ ุฎุฑุจุช ูˆู„ูˆ ู…ุง ุงู†ุชุจู‡ุชุด
695
+
696
+ 225
697
+ 00:20:04,370 --> 00:20:09,020
698
+ ู‡ุชุตูŠุฑ ุชุนู…ู„ ู„ู‡ุง ู„ูŠูƒุฌุŒ ุชุณุฑูŠุจุŒ ู…ุด ูƒูˆูŠุณุŒ ุดุฏ ูƒุชูŠุฑุŒ ุงุญู†ุง
699
+
700
+ 226
701
+ 00:20:09,020 --> 00:20:12,380
702
+ ุฏุฎู„ุชูˆุง ุนู„ู‰ ู…ุงุฏุฉ ุชุตู…ูŠู… ุงู„ู‡ุงุชูุŒ machine designุŒ ู‡ูŠูƒ
703
+
704
+ 227
705
+ 00:20:12,380 --> 00:20:16,520
706
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€design ุงู„ุชุงู†ูŠ
707
+
708
+ 228
709
+ 00:20:16,520 --> 00:20:23,200
710
+ ุงู„ุขู† ููŠ ู†ูˆุน ุซุงู†ูŠ ู…ู† ุงู„ุฃุฌู‡ุฒุฉ ุงู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡๏ฟฝ๏ฟฝ ุงู„ู€
711
+
712
+ 229
713
+ 00:20:23,200 --> 00:20:27,340
714
+ diaphragmsุŒ elastic diaphragmsุŒ diaphragmุŒ ูŠุนู†ูŠ ุบุดุงุก
715
+
716
+ 230
717
+ 00:20:27,340 --> 00:20:31,640
718
+ ุจูŠูƒูˆู† ุฏูŠ basicallyุŒ ุจูŠูƒูˆู† ุฏูŠ ุบุดุงุก
719
+
720
+ 231
721
+ 00:20:42,100 --> 00:20:48,960
722
+ ูˆุงู„ุบุดุงุก ู…ุซุจุช ุจุทุฑูŠู‚ุฉ ู…ุง.. ุฅุฐุง ุนู†ุฏู‡ ู‡ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท
723
+
724
+ 232
725
+ 00:20:48,960 --> 00:20:54,600
726
+ ุงู„ู„ูŠ ููŠู‡ุŒ ุนู†ุฏู‡ ู‡ูŠ pressureุŒ ู†ู†ุชุฌ
727
+
728
+ 233
729
+ 00:20:54,600 --> 00:21:00,420
730
+ .. ู†ู†ุชุฌ ุงู„ู€pressureุŒ ุฅูŠุด ู‡ุชุตูŠุฑ ููŠู‡ุŸ ู‡ุชุตูŠุฑ deflection
731
+
732
+ 234
733
+ 00:21:00,420 --> 00:21:06,340
734
+ ู‡ุชุตูŠุฑ
735
+
736
+ 235
737
+ 00:21:06,340 --> 00:21:08,700
738
+ ุฅูŠุด ุฅูŠุดุŸ deflection
739
+
740
+ 236
741
+ 00:21:12,590 --> 00:21:18,110
742
+ ุงู„ู€deflection ู‡ุฐุง ู‚ูŠู…ุชู‡ ู…ุชู†ุงุณุจุฉ ู…ุน ู‚ูŠู…ุฉ ุงู„ุถุบุท
743
+
744
+ 237
745
+ 00:21:18,110 --> 00:21:25,550
746
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ูŠุฒูŠุฏ ุงู„ุถุบุทุŒ ุงู„ู€pressure is deflectionุŒ ูˆ
747
+
748
+ 238
749
+ 00:21:25,550 --> 00:21:28,690
750
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€deflection ูˆ ุงู„ู€pressureุŒ ุทุจุนุง ุฅุฐุง
751
+
752
+ 239
753
+ 00:21:28,690 --> 00:21:33,010
754
+ ุชุฑูˆุญ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ู‡ูŠ plate
755
+
756
+ 240
757
+ 00:21:33,010 --> 00:21:36,610
758
+ theory
759
+
760
+ 241
761
+ 00:21:36,610 --> 00:21:39,750
762
+ plate
763
+
764
+ 242
765
+ 00:21:39,750 --> 00:21:47,270
766
+ ุฃูˆ thin plate theoryุŒ ุจูŠูƒูˆู†
767
+
768
+ 243
769
+ 00:21:47,270 --> 00:21:50,090
770
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุนุฑูˆูุฉุŒ ุงู„ู…ุนุงุฏู„ุงุชุŒ ุจูŠุตูŠุฑ ุนู†ุฏูŠ stressุŒ ุงู„ู€
771
+
772
+ 244
773
+ 00:21:50,090 --> 00:21:55,210
774
+ stress ุจูŠุนู…ู„ strainุŒ ูู…ู…ูƒู† ุฃู†ุง ู…ุจุงุดุฑุฉุŒ ุฃู†ุง ุงู„ู€delta
775
+
776
+ 245
777
+ 00:21:55,210 --> 00:21:59,990
778
+ ุงู„ู€deflection ุฏู‡ุŒ ุงู„ู€deflectionุŒ ุฅุญุฏู‰ ุงู„ุทุฑู‚ ุฃู†ู‡ ุฃุญุงูˆู„
779
+
780
+ 246
781
+ 00:21:59,990 --> 00:22:06,170
782
+ somehowุŒ ุงู„ู€motion for some indicatorุŒ ูˆุฃู‚ูŠุณ ุฅูŠุด ุงู„ู€
783
+
784
+ 247
785
+ 00:22:06,170 --> 00:22:10,690
786
+ pressureุŒ ุฃูˆ ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ ุฃุญุท
787
+
788
+ 248
789
+ 00:22:11,870 --> 00:22:18,230
790
+ ุฃุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ูƒู‡ุฑุจุงุฆูŠุฉุŒ ุฃุญุท ู…ุซู„ุง ู‡ู†ุง ุนู†ุฏูŠุŒ ุฃุญุท
791
+
792
+ 249
793
+ 00:22:18,230 --> 00:22:26,590
794
+ stringageุŒ stringageุŒ ู†ุชูŠุฌุฉ ุฃู†ู‡ ุตุงุฑ deflectionุŒ ู…ุซุจุช
795
+
796
+ 250
797
+ 00:22:26,590 --> 00:22:33,790
798
+ ุฃูŠูˆุฉุŒ ุทูˆู„ู‡ ู‡ูŠุฒูŠุฏ ู…ุซู„ุงุŒ ุทูˆู„ู‡ุŒ ุญุฑูŠุฉ ู…ุซู„ุงุŒ ู‡ุงูŠ L ูˆุงุญุฏ
799
+
800
+ 251
801
+ 00:22:33,790 --> 00:22:43,000
802
+ ู‡ุตูŠุฑ ุทูˆู„ู‡ L ุงุชู†ูŠู†ุŒ ูˆ DeltaุŒ ุณูˆุงุก L ุงุชู†ูŠู† - L ูˆุงุญุฏ
803
+
804
+ 252
805
+ 00:22:43,000 --> 00:22:49,140
806
+ ูˆุงู„ู€strain ุงู„ู„ูŠ ุตุงุฑุŒ ุงู„ู€change ููŠ ุงู„ู€length ู†ุชูŠุฌุฉ
807
+
808
+ 253
809
+ 00:22:49,140 --> 00:22:55,400
810
+ DeltaุŒ Delta LุŒ ุจูŠูƒูˆู† ุฏูŠ DeltaุŒ ุนุงุด RุŒ ุนุงุด ุงู„ู€R
811
+
812
+ 254
813
+ 00:22:55,400 --> 00:22:59,680
814
+ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ูุฃู†ุง ุงู„ู„ูŠ
815
+
816
+ 255
817
+ 00:22:59,680 --> 00:23:04,760
818
+ ุจู‚ูŠุณู‡ุŒ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ุฐุง ู‚ูŠุงุณู‡ ุณู‡ู„ ูƒุชูŠุฑุŒ ู„ุฃู† ููŠ
819
+
820
+ 256
821
+ 00:23:04,760 --> 00:23:08,160
822
+ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€change ููŠ ุงู„ู€resistance ู…ุน ุงู„ู€change
823
+
824
+ 257
825
+ 00:23:08,160 --> 00:23:12,730
826
+ ููŠ ุงู„ู€lengthุŒ ูˆุงู„ู€change ููŠ ุงู„ู€lengthุŒ ููŠ ุนู„ุงู‚ุฉ ุฅู„ู‡ุง
827
+
828
+ 258
829
+ 00:23:12,730 --> 00:23:18,870
830
+ ุจุงู„ู€stress ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉุŒ ูˆุงู„ู„ูŠ ุนู„ุงู‚ุฉ ูƒู…ุงู† ููŠ ุงู„ู€
831
+
832
+ 259
833
+ 00:23:18,870 --> 00:23:23,410
834
+ pressureุŒ ุทุจุนุง ุจุฏูŠุด ุฃู†ุง ู„ู…ุง ุฃุฑุณู… ุงู„ู€stress strain
835
+
836
+ 260
837
+ 00:23:23,410 --> 00:23:28,910
838
+ curve ู„ู„ู…aterial ุจุชุงุนุชู‡ุงุŒ ุฏู‡ ู‡ุงูŠ stress ูˆู‡ุงูŠ
839
+
840
+ 261
841
+ 00:23:28,910 --> 00:23:39,150
842
+ strainุŒ ู‡ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒุŒ mechanics of materialุŒ ู‡ุชุนุฑูุด
843
+
844
+ 262
845
+ 00:23:39,150 --> 00:23:48,230
846
+ ูŠุนู†ูŠ stress ูˆ strainุŒ ุทูŠุจ ุงู„ู€deflections ู‡ุชูƒูˆู† ุจุญูŠุซ
847
+
848
+ 263
849
+ 00:23:48,230 --> 00:23:52,210
850
+ ู…ุง ุฃุฏุฎู„ุด ู„ู€plastic regionุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃุธู† ููŠ ุฅูŠุด ููŠ ุงู„ู€
851
+
852
+ 264
853
+ 00:23:52,210 --> 00:23:57,230
854
+ elastic regionุŒ ู„ุฃู† ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€stress ูˆ ุงู„ู€
855
+
856
+ 265
857
+ 00:23:57,230 --> 00:24:02,110
858
+ strain ููŠ ุงู„ู€elastic regionุŒ sigma ุจุงู„ุณูˆุงุก E ููŠ
859
+
860
+ 266
861
+ 00:24:02,110 --> 00:24:08,950
862
+ ุฃุจุณุฑู… ุงู„ู€sigmaุŒ ุทุจุนุง ุงู„ู€E ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€slope ุฏู‡ ุงู„ู€
863
+
864
+ 267
865
+ 00:24:08,950 --> 00:24:11,990
866
+ linear portionุŒ ุงู„ู€E ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€modulus of
867
+
868
+ 268
869
+ 00:24:11,990 --> 00:24:16,850
870
+ elasticityุŒ ูุจุฏุง ุชูƒูˆู† ููŠ ุงู„ู€.. ููŠ ุงู„ู€ุทุจุนุง ุงู„ู„ูŠ ุงู„ู„ูŠ
871
+
872
+ 269
873
+ 00:24:16,850 --> 00:24:23,210
874
+ ุฃู‚ุนุฏ ุฃุดู…ู„ู‡ุง linearุŒ ูˆุงู„ู€pressure somehowุŒ ุงู„ู€
875
+
876
+ 270
877
+ 00:24:23,210 --> 00:24:27,270
878
+ pressure ู‡ู†ุง ุจูŠุนู…ู„
879
+
880
+ 271
881
+ 00:24:27,270 --> 00:24:35,670
882
+ stressุŒ ุจูŠุนู…ู„ ุนู†ุฏูƒุŒ ุจูŠุนู…ู„ ู…ุง ูŠุณู…ู‰ ู„ู…ุง ุฃุดุฏุŒ ู†ู‡ูŠุฃูƒ ุฃู†ุง
883
+
884
+ 272
885
+ 00:24:35,670 --> 00:24:36,270
886
+ ุฃูƒุจุฑู‡ุง
887
+
888
+ 273
889
+ 00:24:39,280 --> 00:24:42,600
890
+ ุจุฏูŠ ุฃุนู…ู„ ุจุนุฏ ุงู„ู€deformationุŒ ู‡ุตูŠุฑ ุดูƒู„ ุงู„ู€membrane
891
+
892
+ 274
893
+ 00:24:42,600 --> 00:24:48,260
894
+ ุทุจุนุง
895
+
896
+ 275
897
+ 00:24:48,260 --> 00:24:55,880
898
+ ู‡ูŠูƒุŒ ู‡ู†ุง ููŠ support ูˆู‡ู†ุง ููŠ supportุŒ ู‡ุนู…ู„
899
+
900
+ 276
901
+ 00:24:55,880 --> 00:25:03,100
902
+ ู„ู‡ุง sigma tangentialุŒ ุฃูˆ ุจูŠุณู…ูˆู‡ุง sigma hoopุŒ hoop
903
+
904
+ 277
905
+ 00:25:03,100 --> 00:25:09,040
906
+ stressุŒ tangential stressุŒ ุชู†ุชุฌ ุฃู†ู‡ ุจู‚ุงูˆู…ุŒ ูุจูŠุตูŠุฑ
907
+
908
+ 278
909
+ 00:25:09,040 --> 00:25:14,720
910
+ stressุŒ ุชู†ุชุฌ ุฃู†ู‡ ุจู‚ุงูˆู… ุจุงู„ุดูŠุกุŒ ุจูŠุตูŠุฑ stressุŒ ูŠุนู†ูŠ ุฃู†ุชูŽ
911
+
912
+ 279
913
+ 00:25:14,720 --> 00:25:19,320
914
+ ู„ูˆ ูˆุงุญุฏ ู…ุณูƒุช ู…ู† ุฅูŠุฏู‡ ูˆุญุงูˆู„ ูŠุณุญุจูƒ ูˆุฃู†ุชูŽ ุถุงู„ุชูƒุŒ ูˆ
915
+
916
+ 280
917
+ 00:25:19,320 --> 00:25:22,380
918
+ ู…ุง ุงุณุชุฌุจุชุด ู…ุนุงู‡ุŒ ู„ูˆ ู…ุดูŠุช ู…ุนุงู‡ ู…ุง ููŠุด ุฅุฌู‡ุงุฏ ุนู„ู‰ ุฅูŠุฏูƒ
919
+
920
+ 281
921
+ 00:25:22,380 --> 00:25:26,700
922
+ ู„ูƒู† ุฅุฐุง ุถุงู„ุชูƒ ุซุงุจุชุฉ ูˆุดุฏุชูƒุŒ ู‡ุชุญุณ ููŠู‡ ุดุฏ ููŠ ุฅูŠุฏูƒ ู‡ุฐุง
923
+
924
+ 282
925
+ 00:25:26,700 --> 00:25:32,820
926
+ ุงู„ู€stressุŒ ูŠุนู†ูŠ ู…ุง ุชูƒุด ุชุชุญุฑูƒุŒ ุฃู†ุชูŽ ู…ุงุดูŠุŒ ู…ู…ูƒู† ุญุชู‰ ูŠุตูŠุฑ
927
+
928
+ 283
929
+ 00:25:32,820 --> 00:25:36,570
930
+ ุนู†ุฏูƒ strainsุŒ ุญุชุฉ ููŠ ุนุถู„ุงุช ุฅูŠุฏูƒุŒ ุชุดุฏ ุฅูŠุฏูƒ ู†ุชูŠุฌุฉ ุงู„ู€
931
+
932
+ 284
933
+ 00:25:36,570 --> 00:25:42,090
934
+ stressุŒ ู…ุง ููŠุด stressุŒ ู…ุด ู‡ุชุดูุฏ ุงู„ุนุถู„ุฉ ุตุญุŒ ูุจุตูŠุฑ ุฏูŠ
935
+
936
+ 285
937
+ 00:25:42,090 --> 00:25:45,510
938
+ tangential stressุŒ ููŠ ุนู„ุงู‚ุฉ tangential stressุŒ sigma
939
+
940
+ 286
941
+ 00:25:45,510 --> 00:25:51,830
942
+ tangential is a function of applied pressureุŒ ูˆู‡ุฐู‡
943
+
944
+ 287
945
+ 00:25:51,830 --> 00:26:01,530
946
+ ุงู„ู€relation is very well knownุŒ ู…ุนุฑูˆูุฉุŒ ูŠุนู†ูŠ ุฃุฑูˆุญ
947
+
948
+ 288
949
+ 00:26:01,530 --> 00:26:04,890
950
+ ุนู„ู‰ ุงู„ู€thin plateุŒ ุชุฑูˆุญ ุนู„ู‰ ุงู„ู€mechanics of
951
+
952
+ 289
953
+ 00:26:04,890 --> 00:26:07,270
954
+ materialุŒ ุฃูˆ advanced mechanics of materialุŒ ุชูˆุฌุฏ
955
+
956
+ 290
957
+ 00:26:07,270 --> 00:26:12,330
958
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€
959
+
960
+ 291
961
+ 00:26:12,330 --> 00:26:17,790
962
+ diaphragmsุŒ ุงู„ู€diaphragms ุจุชูŠุฌูŠ ุนู„ู‰ ู†ูˆุนูŠู†ุŒ ุจุชูŠุฌูŠ
963
+
964
+ 292
965
+ 00:26:17,790 --> 00:26:23,900
966
+ ุงู„ู„ูŠ ู‡ูŠ flat diaphragmsุŒ ู‡ุฐุง ุงู„ู†ุธุงู… flat diaphragms
967
+
968
+ 293
969
+ 00:26:23,900 --> 00:26:29,980
970
+ ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ุฎุงุฑุฌ ู…ู† ู‡ู†ุง ุจูŠุฌูŠุŒ ุจูŠุตูŠุฑ ููŠู‡ุง ุชู‚ูˆุณ
971
+
972
+ 294
973
+ 00:26:29,980 --> 00:26:34,780
974
+ ู‡ุฐุง flat diaphragmsุŒ ูˆููŠ corrugatedุŒ corrugated
975
+
976
+ 295
977
+ 00:26:34,780 --> 00:26:41,000
978
+ ุฅูŠุด ูŠุนู†ูŠ corrugatedุŸ ุจูŠุฌูŠ ุฒูŠ ู‡ูŠูƒุŒ ูŠุนู†ูŠ ู…ุชุนุฑุฌุŒ ุจูŠุฌูŠ
979
+
980
+ 296
981
+ 00:26:41,000 --> 00:26:47,200
982
+ ุฅูŠุด ู…ุชุนุฑุฌุŸ ู…ุตุฏุฑ ุงู„ุถุบุท ุจูŠูƒูˆู† ุฌุง ู…ู† ู‡ู†ุงุŒ ู…ุตุฏุฑ ุงู„ุถุบุท
983
+
984
+ 297
985
+ 00:26:47,200 --> 00:26:53,510
986
+ ู‡ู†ุง ุงู„ู€pressureุŒ ุงู„ุขู† ู…ู† ุฃุถุบุทุŒ ุฃุฏุฎู„ force ู…ู† ู‡ู†ุง
987
+
988
+ 298
989
+ 00:26:53,510 --> 00:27:00,590
990
+ ู‡ูŠุฏุบุท ุนู„ู‰ ู‡ุฐุงุŒ ู‡ูŠุตูŠุฑ ููŠู‡ ุฅูŠุด deflection
991
+
992
+ 299
993
+ 00:27:00,590 --> 00:27:06,250
994
+ deflectionุŒ ู„ุงุญุธูŠู† ุงู„ู€link ู‡ุฐู‡ุŒ diaphragm
995
+
996
+ 300
997
+ 00:27:06,250 --> 00:27:09,850
998
+ ู‡ุฐุง
999
+
1000
+ 301
1001
+ 00:27:09,850 --> 00:27:14,550
1002
+ ุตุญูŠุญ
1003
+
1004
+ 302
1005
+ 00:27:14,550 --> 00:27:16,690
1006
+ ุจุนุฏูŠู† ู…ู…ูƒู† ู†ุนู…ู„ ูƒุฐุง ุทุจู‚ุฉุŒ ุทุจู‚ุงุช
1007
+
1008
+ 303
1009
+ 00:27:20,850 --> 00:27:26,150
1010
+ ุงู„ุขู† ู‡ุงูŠ ุนู†ุฏูŠ linkุŒ ุจุชุญุฑูƒ ุงู„ู€link ู‡ุฐู‡ุŒ ูŠุนู†ูŠ ู‡ุฐู‡
1011
+
1012
+ 304
1013
+ 00:27:26,150 --> 00:27:34,010
1014
+ ู…ุจุงุดุฑุฉุŒ ู‡ูŠ ุนู†ุฏูŠ ู…ุฑูƒุฒ ุฏูˆุฑุงู†ุŒ ู„ุฃู† ููŠ ุนู†ุฏูŠ link ุฒูŠ ู‡ูŠูƒ
1015
+
1016
+ 305
1017
+ 00:27:34,010 --> 00:27:37,270
1018
+ ูˆุนู†ุฏูŠ
1019
+
1020
+ 306
1021
+ 00:27:37,270 --> 00:27:41,530
1022
+ link ุซุงู†ูŠุฉุŒ ูˆุนู†ุฏูŠ
1023
+
1024
+ 307
1025
+ 00:27:41,530 --> 00:27:48,210
1026
+ ู‡ู†ุง ุฅูŠุดุŸ link ู‡ุฐู‡ุŒ ูˆููŠ ุทุฑูู‡ุง ุฅูŠุดุŸ centersุŒ ุงู„ุขู† ู„ู…ุง
1027
+
1028
+ 308
1029
+ 00:27:48,210 --> 00:27:53,870
1030
+ ู†ุฒู„ุช ุงู„ุถุบุทุŒ ู‡ุฏูŠ ู‡ุชุฑูุน diaphragm ู„ุฃุนู„ู‰ุŒ ู„ู…ุง ุชุฑูุน diaphragm
1031
+
1032
+ 309
1033
+ 00:27:53,870 --> 00:27:59,990
1034
+ ู„ุฃุนู„ู‰ุŒ ู„ู‡ุฏูŠ ู‡ุชุฏูุนุŒ ู‡ุฏูŠ ู‡ูŠุทู„ุน ุฒูŠ ู‡ูŠูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฏูŠ
1035
+
1036
+ 310
1037
+ 00:27:59,990 --> 00:28:04,170
1038
+ ู‡ุชู…ุดูŠุŒ ู‡ุชุทู„ุน ู„ุฃุนู„ู‰ุŒ ุงู„ุขู† ู‡ู†ุง ููŠ ู„ุญุธุฉุŒ ู‡ู†ุง ู…ุฑูƒุฒ ุฏูˆุฑุงู†
1039
+
1040
+ 311
1041
+ 00:28:04,170 --> 00:28:08,770
1042
+ ู‡ู†ุง ู‡ุฏูŠ
1043
+
1044
+ 312
1045
+ 00:28:08,770 --> 00:28:14,060
1046
+ ู‡ูŠุณูŠุฑ ุงู„ู€rotation ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉุŒ ู‡ุฐุง ุงู„ุชุฑุณ ุงู„ุตุบูŠุฑ
1047
+
1048
+ 313
1049
+ 00:28:14,060 --> 00:28:18,520
1050
+ ุงู„ู„ูŠ ู…ุซุจุช ุนู„ูŠู‡ ุงู„ู…ุคุดุฑุŒ ู‡ูŠุณูŠุฑ rotation ู…ุน ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉ
1051
+
1052
+ 314
1053
+ 00:28:18,520 --> 00:28:29,180
1054
+ ู…ุนู†ุงู‡ ุงู„ู…ุคุดุฑ ุฅูŠุดุŸ ู…ุนู†ุงู‡ ู‡ูŠุทู„ุนุŒ ุจู‚ู‰ ู†ู‚ุฑุฃู‡ ู„ู„ุถุบุท
1055
+
1056
+ 315
1057
+ 00:28:29,180 --> 00:28:36,560
1058
+ ููŠู‡
1059
+
1060
+ 316
1061
+ 00:28:36,560 --> 00:28:40,580
1062
+ ุชูุงุตูŠู„ ุทุจุนุงุŒ ุฅุฐุง ูƒุงู† ุงู„ุฎู…ูŠู„ ูƒุชูŠุฑ ูˆู…ุด ูƒูˆูŠุณ
1063
+
1064
+ 317
1065
+ 00:28:43,240 --> 00:28:53,440
1066
+ ู…ุนุฏู†ูŠุŒ ู…ุนุฏู†ูŠุŒ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุทุงุทุŒ ุจุณ ุนู†ุฏูƒ ุญุณุงุณ ูƒุชูŠุฑุŒ ูˆุงู„ู€
1067
+
1068
+ 318
1069
+ 00:28:53,440 --> 00:28:58,520
1070
+ elastic range ุจุชุงุนู‡ ูƒุจูŠุฑ
1071
+
1072
+ 319
1073
+ 00:28:58,520 --> 00:29:04,800
1074
+ ู…ู…ูƒู† ุฃุณุชุฎุฏู… ู…ุทุงุทุŒ ุจุณ ุฅูŠุดุŸ ุนุงูŠุฒ ู…ุทุงุทุŒ ุทุจุนุง ููŠ ู…ูŠุฒุฉุŒ ูˆ
1075
+
1076
+ 320
1077
+ 00:29:04,800 --> 00:29:08,640
1078
+ ููŠ ุนูŠุจุŒ ุงู„ู…ูŠุฒุฉุŒ ุฃู†ุง ู…ู…ูƒู† ุฃู‚ูŠุณ ุถุบูˆุท ู…ู†ุฎูุถุฉ ูƒุชูŠุฑุŒ ู‡ุฐู‡
1079
+
1080
+ 321
1081
+ 00:29:08,640 --> 00:29:10,840
1082
+ ู…ูŠุฒุฉุŒ ุงู„ุนูŠุจ
1083
+
1084
+ 322
1085
+ 00:29:12,180 --> 00:29:14,760
1086
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุฃุนุชุจุฑู‡ ุนูŠุจุŒ ู…ุด ุนูŠุจุŒ ูŠุนู†ูŠ ุฃู†ุง ุญุงู„ูŠุงุŒ ุฃู†ุง
1087
+
1088
+ 323
1089
+ 00:29:14,760 --> 00:29:19,940
1090
+ computersุŒ ุงู„ุนูŠุจ ุฃู†ู‡ ุนู„ุงู‚ุฉ ุงู„ู€stress ูˆ ุงู„ู€strain ู…ุด
1091
+
1092
+ 324
1093
+ 00:29:19,940 --> 00:29:25,320
1094
+ linearุŒ ู…ุน ุฃู†ู‡ elasticุŒ ููŠ ุงู„ู…ุนุงุฏู†ุŒ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€
1095
+
1096
+ 325
1097
+ 00:29:25,320 --> 00:29:29,320
1098
+ stress ูˆ ุงู„ู€strainุŒ ู‡ุงูŠ ๏ฟฝ๏ฟฝุจุณู„ูˆู†ุŒ ุณุฌู†ุŒ ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„ู€
1099
+
1100
+ 326
1101
+ 00:29:29,320 --> 00:29:33,520
1102
+ metalsุŒ ู…ุซู„ุง ููŠ ุงู„ู€elastic regionุŒ ุงู„ุนู„ุงู‚ุฉ ุฅูŠุดุŸ
1103
+
1104
+ 327
1105
+ 00:29:33,520 --> 00:29:40,880
1106
+ linearุŒ ุจุณู…ูŠู‡ linear elasticุŒ linear elastic
1107
+
1108
+ 328
1109
+ 00:29:43,470 --> 00:29:48,810
1110
+ ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ู…ุทุงุท ุจูŠูƒูˆู† ู‡ุงูŠ ุงู„ู€stressุŒ ู‡ุงูŠ ุงู„ู€
1111
+
1112
+ 329
1113
+ 00:29:48,810 --> 00:29:56,250
1114
+ strainุŒ stressุŒ ุจูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒุŒ ุงู„ู€.. ุงู„ู€ุนู„ุงู‚ุฉ elastic
1115
+
1116
+ 330
1117
+ 00:29:56,250 --> 00:30:06,210
1118
+ ุจุณ.. ุจุณ.. ุจุณ.. ุจุณ ู…ุด linearุŒ non linear elastic
1119
+
1120
+ 331
1121
+ 00:30:06,210 --> 00:30:09,970
1122
+ ูŠุนู†ูŠ
1123
+
1124
+ 332
1125
+ 00:30:09,970 --> 00:30:15,200
1126
+ ู„ูˆ ุดูŠู„ุช ุงู„ู€load ุนู„ูŠู‡ุŒ ุจุฑุฌุนุŒ ุนุงุฏุฉ ููŠ ุฃุฌู‡ุฒุฉ.. ุนุงุฏุฉ ููŠ
1127
+
1128
+ 333
1129
+ 00:30:15,200 --> 00:30:19,660
1130
+ ุฃุฌู‡ุฒุฉ ุงู„ู‚ูŠุงุณุŒ ุจูŠุดุชุบู„ูˆุง ุนู„ู‰ ุงู„ู€linearุŒ ุฃู† ูŠูƒูˆู†
1131
+
1132
+ 334
1133
+ 00:30:19,660 --> 00:30:24,940
1134
+ ุงู„ุนู„ุงู‚ุฉ LinearุŒ ู…ู…ูƒู† ุชุนู…ู„ ุฌู‡ุงุฒ ู…ุง ู‡ูˆ LinearุŒ ุจุณ ุงู„ู€
1135
+
1136
+ 335
1137
+ 00:30:24,940 --> 00:30:32,920
1138
+ design ุจุชุงุนู‡ุŒ ูˆุงู„ู€control ู‡ูŠูƒูˆู† ููŠู‡ุŒ ู…ูƒู„ู‘ุนุŒ ุงู„ู…ุชุนุฑุฌ
1139
+
1140
+ 336
1141
+ 00:30:32,920 --> 00:30:37,560
1142
+ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰ุŒ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰
1143
+
1144
+ 337
1145
+ 00:30:37,560 --> 00:30:40,980
1146
+ ุงู„ู„ูŠ ู‡ู… sensible ุฃูˆ measurable displacementุŒ ู…ู…ูƒู†
1147
+
1148
+ 338
1149
+ 00:30:40,980 --> 00:30:46,650
1150
+ ุชุนู…ู„ ุงุชุญุงุฏุŒ ู„ูุฑู‚ุŒ ู„ุฃู† ุงู„ู€.. ุงู„ู€.. ุจุฑุถู‡ ุงู„ู…ุชุนุฑุฌ
1151
+
1152
+ 339
1153
+ 00:30:46,650 --> 00:30:49,290
1154
+ ุจูŠุนุทูŠ strengthุŒ ุจูŠุนุทูŠ moment of inertiaุŒ ุงู„ู€section
1155
+
1156
+ 340
1157
+ 00:30:49,290 --> 00:30:54,870
1158
+ ุจูŠุตูŠุฑ ุฃุนู„ู‰ุŒ ูŠุนู†ูŠ ุฃู†ุชูŽ ู„ูˆ
1159
+
1160
+ 341
1161
+ 00:30:54,870 --> 00:31:00,090
1162
+ ุฌุจุชู„ูƒ ู‚ุทุนุฉุŒ ุจุนุฏูŠู† ู…ู…ูƒู† ุชู‚ูŠุณ ุงู„ุถุบูˆุท ุฃุนู„ู‰ุŒ ู…ู…ูƒู† ุชู‚ูŠุณ
1163
+
1164
+ 342
1165
+ 00:31:00,090 --> 00:31:05,690
1166
+ ุงู„ุถุบูˆุท ุฃุนู„ู‰ุŒ ุงู„ู„ูŠ ู„ูˆ ุฃู†ุง ุฌุจุชู„ูƒ sheetุŒ flat sheet
1167
+
1168
+ 343
1169
+ 00:31:05,690 --> 00:31:11,530
1170
+ flat sheetุŒ ู‡ุงูŠ ุญุงู„ุฉุŒ ุญุงู„ุฉ ุซุงู†ูŠุฉุŒ ุจุณ ุฎู„ูŠู†ุง ู†ุงุฎุฏ ุจุณ
1171
+
1172
+ 344
1173
+ 00:31:11,530 --> 00:31:18,480
1174
+ ุนู†ุฏู‡ุง ูˆุงุญุฏุฉุŒ ููŠู‡ุงุŒ ู…ู…ูƒู† ุชุชุญู…ู„ ุฃูƒุซุฑุŒ ู‡ุฐูŠ ูˆู„ุง ู‡ุฐูŠุŸ ูุฃู†ุง
1175
+
1176
+ 345
1177
+ 00:31:18,480 --> 00:31:30,300
1178
+ ู†ุงุณูŠู‡ ููŠู‡ correctionุŒ ุจุฎุชู„ู
1179
+
1180
+ 346
1181
+ 00:31:30,300 --> 00:31:35,820
1182
+ ุงู„ุฃุดูŠุงุกุŒ ุทูŠุจุŒ ุนู„ู‰ ุฃูŠ ุญุงู„ุŒ ููŠ ุชูุงุตูŠู„ ูƒุชูŠุฑุฉุŒ ุจุณ ู‡ุฐู‡ ู‡ูŠ
1183
+
1184
+ 347
1185
+ 00:31:35,820 --> 00:31:39,900
1186
+ ุงู„ู€basic principle of diaphragmุŒ elastic diaphragms
1187
+
1188
+ 348
1189
+ 00:31:44,580 --> 00:31:49,660
1190
+ ู‡ุฐุง ุญุงูƒูŠ ุฃู†ู‡ ูŠูุถู„ ุฃู† ุงู„ุนู„ุงู‚ุฉ ุชูƒูˆู† ุงู„ู€.. ุงู„ู€.. ุงู„ู€
1191
+
1192
+ 349
1193
+ 00:31:49,660 --> 00:31:52,180
1194
+ linear outputุŒ ูŠุนู†ูŠ ุฅูŠุดุŸ ูŠุนู†ูŠ linear outputุŒ ูŠุนู†ูŠ ุงู„ู€
1195
+
1196
+ 350
1197
+ 00:31:52,180 --> 00:31:56,620
1198
+ pressure ุจุชุบูŠุฑ linearly ู…ุน ุงู„ู€inputุŒ ุฅูŠุด ู‡ูˆ ุงู„ู€
1199
+
1200
+ 351
1201
+ 00:31:56,620 --> 00:32:01,600
1202
+ inputุŸ ุงู„ู€pressureุŒ ุงู„ู€input ู‡ูˆ ุงู„ู€pressureุŒ ุงู„ู€
1203
+
1204
+ 352
1205
+ 00:32:01,600 --> 00:32:04,920
1206
+ outputุŒ ุฅูŠุด ู‡ูˆ ุญุณุจ
1207
+
1208
+ 353
1209
+ 00:32:06,030 --> 00:32:08,750
1210
+ ุฅุฐุง ูƒุงู†ุช mechanical movementุŒ ู‡ูŠ ุงู„ู€movementุŒ ุฃูˆ
1211
+
1212
+ 354
1213
+ 00:32:08,750 --> 00:32:12,050
1214
+ ุงู„ู…ุคุดุฑุŒ ุฅุฐุง ูƒุงู†ุช ุฏู‡ ุญูˆู„ ุงู„ู€electrical signalุŒ
1215
+
1216
+ 355
1217
+ 00:32:12,050 --> 00:32:15,030
1218
+ ุงู„ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุงุตูŠุฉ ุงู„ูƒู‡ุฑุจุงุฆูŠุฉ ุณูˆุงุก ูƒุงู†ุช
1219
+
1220
+ 356
1221
+ 00:32:15,030 --> 00:32:18,170
1222
+ resistanceุŒ ุฃูˆ voltageุŒ ุฃูˆ capacitanceุŒ ุฃูˆ
1223
+
1224
+ 357
1225
+ 00:32:18,170 --> 00:32:22,610
1226
+ inductanceุŒ ุจุชุชุบูŠุฑ ุฅูŠุดุŸ linear
1227
+
1228
+ 358
1229
+ 00:32:26,450 --> 00:32:30,370
1230
+ ุงู„ุขู† ู„ุงุฒู… ุฃูƒูˆู† ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ููŠู‡ุŒ ู‡ุฃุฐูƒุฑ ุจุนุถ ุงู„ู€
1231
+
1232
+ 359
1233
+ 00:32:30,370 --> 00:32:34,010
1234
+ design requirementsุŒ ูŠุนู†ูŠ ุงู„ู…ุชุทู„ุจุงุช ุงู„ุชุตู…ูŠู… ุงู„ู„ูŠ
1235
+
1236
+ 360
1237
+ 00:32:34,010 --> 00:32:38,890
1238
+ ู„ุงุฒู… ูŠุชูˆูุฑ ููŠ ุงู„ู€elastic diaphragmsุŒ ุฃูˆู„ ุดูŠุก ุงู„ู€
1239
+
1240
+ 361
1241
+ 00:32:38,890 --> 00:32:42,510
1242
+ flexibility and thus sensitive pressure change
1243
+
1244
+ 362
1245
+ 00:32:42,510 --> 00:32:45,350
1246
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† flexibleุŒ ู…ุด ู„ุงุฒู… ุชูƒูˆู† ู†ุงุดูุฉุŒ ุฌุงู…ุฏุฉ
1247
+
1248
+ 363
1249
+ 00:32:45,350 --> 00:32:49,950
1250
+ ููŠู‡ุง ู…ุฑูˆู†ุฉุŒ and thus sensitive pressure changeุŒ must
1251
+
1252
+ 364
1253
+ 00:32:49,950 --> 00:32:53,070
1254
+ provide diaphragm deflections that match the input
1255
+
1256
+ 365
1257
+ 00:32:53,070 --> 00:32:58,150
1258
+ range of the secondaryุŒ ุงู„ุชุฑุงู†ุฒูŠุณุชูˆุฑุŒ ุฅูŠุด ูุนู„ุง secondary
1259
+
1260
+ 366
1261
+ 00:32:58,150 --> 00:33:05,970
1262
+ ุงู„ุชุฑุงู†ุฒูŠุณุชูˆุฑุŒ ุฃูˆู„ ุชุฑุงู†ุฒูŠุณุชูˆุฑุŒ ุฅูŠุด ู‡ูˆุŸ ุงู„ุบุดุงุก ุงู„ู„ูŠ ู‡ูˆ
1263
+
1264
+ 367
1265
+ 00:33:05,970 --> 00:33:10,290
1266
+ ุจูŠุณุชุฌูŠุจ ู„ู„ุถุบุทุŒ ุถุบุท ุจุชุบูŠุฑ ุดูƒู„ู‡ุŒ ุตุญุŸ secondary
1267
+
1268
+ 368
1269
+ 00:33:10,290 --> 00:33:14,330
1270
+ ุงู„ุชุฑุงู†ุฒูŠุณุชูˆุฑ ู‡ูˆ ู…ุฌุณุŒ ุฅูŠุดุŸ ูƒู‡ุฑุจุงุŒ ู…ู…ูƒู† ู†ุญุท string gauge
1271
+
1272
+ 369
1273
+ 00:33:14,330 --> 00:33:21,090
1274
+ ูŠุนู†ูŠ ุงู„ู€range ุงู„ู„ูŠ ุดุบุงู„ ุนู„ูŠู‡ ุงู„ู€diaphragm ูŠูƒูˆู†
1275
+
1276
+ 370
1277
+ 00:33:21,090 --> 00:33:27,200
1278
+ matching ู…ุน ุงู„ู€range ุจุชุงุน ุงู„ู€string gaugeุŒ ูŠุนู†ูŠ ุจุฏูŠุด
1279
+
1280
+ 371
1281
+ 00:33:27,200 --> 00:33:30,140
1282
+ ูˆุงู„ู„ู‡ ุฃู†ุง ุงู„ู€string.. ุงู„ู€diaphragm ุจูŠุนู…ู„ ู„ูŠ string
1283
+
1284
+ 372
1285
+ 00:33:30,140 --> 00:33:35,780
1286
+ .. ุจูŠุนู…ู„ ู„ูŠ ุชุบูŠุฑ stringุŒ ู…ุซู„ุง point ูˆุงุญุฏุŒ ู„ูƒู† ุงู„ู€
1287
+
1288
+ 373
1289
+ 00:33:35,780 --> 00:33:38,220
1290
+ string gauge ุจูŠุนุทูŠู†ูŠ point ุฃูˆ ูˆุงุญุฏุŒ ุงู„ู€range ุจุชุงุนู‡
1291
+
1292
+ 374
1293
+ 00:33:38,220 --> 00:33:42,580
1294
+ maximumุŒ ูุจูƒูˆู† matching ุจูŠู† ุงู„ู€primaryุŒ ุงู„ู€
1295
+
1296
+ 375
1297
+ 00:33:42,580 --> 00:33:46,860
1298
+ transducer ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€diaphragmุŒ ูˆุงู„ู€range ุจุชุงุน ุงู„ู€
1299
+
1300
+ 376
1301
+ 00:33:46,860 --> 00:33:49,000
1302
+ secondary ุงู„ู€transducer ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนุทูŠู†ุง ุงู„ู€signal
1303
+
1304
+ 377
1305
+ 00:33:49,000 --> 00:33:50,460
1306
+ ุงู„ู†ู‡ุงูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุฃู†ุง ุจู‚ูŠุณู‡ุง
1307
+
1308
+ 378
1309
+ 00:33:53,250 --> 00:33:55,830
1310
+ ุงู„ู€nature frequencyุŒ ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู…
1311
+
1312
+ 379
1313
+ 00:33:55,830 --> 00:33:57,710
1314
+ should be sufficiently high to provide
1315
+
1316
+ 380
1317
+ 00:33:57,710 --> 00:34:00,670
1318
+ satisfactory frequency responseุŒ ู„ุงุฒู… ุงู„ุชุฑุฏุฏ
1319
+
1320
+ 381
1321
+ 00:34:00,670 --> 00:34:08,070
1322
+ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† ุนุงู„ูŠ ูƒุชูŠุฑุŒ ู‡ุฐุง ุทุจุนุง ุงู„ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ ูƒุชูŠุฑ
1323
+
1324
+ 382
1325
+ 00:34:08,070 --> 00:34:11,230
1326
+ ููŠ ุญุงู„ุฉ ุฅุฐุง ุนู†ุฏูƒ dynamic pressure changeุŒ ุฅูŠุด ูŠุนู†ูŠ
1327
+
1328
+ 383
1329
+ 00:34:11,230 --> 00:34:15,670
1330
+ dynamic pressure changeุŸ ูŠุนู†ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท ุจูŠุชุบูŠุฑ ูƒุชูŠุฑ
1331
+
1332
+ 384
1333
+ 00:34:15,670 --> 00:34:24,350
1334
+ ุจูŠุชุบูŠุฑ ูƒุชูŠุฑ ูˆุจุดูƒู„ ุณุฑูŠุนุŒ ุฅุฐุง ูƒุงู† ุชุฑุฏุฏ ู…ุตุฏุฑ ุงู„ุถุบุท ูƒุงู†
1335
+
1336
+ 385
1337
+ 00:34:24,350 --> 00:34:30,350
1338
+ ู‚ุฑูŠุจ ุฃูˆ ุจูŠุณุงูˆูŠ ุงู„ู€nature frequencyุŒ ุฃูˆ.. ุฃูˆ
1339
+
1340
+ 386
1341
+ 00:34:30,350 --> 00:34:34,510
1342
+ nature frequency ู„ู„ู€.. ู„ู„ู€diaphragmุŒ ุจูŠุตูŠุฑ ู…ุง ูŠุณู…ู‰
1343
+
1344
+ 387
1345
+ 00:34:34,510 --> 00:34:41,070
1346
+ ุนู†ุฏูŠ ุธุงู‡ุฑุฉ ุงู„ุฑู†ูŠู†ุŒ ู„ู…ุง ุงู„ู€nature frequency ูŠุนู†ูŠ ุงู„ู€
1347
+
1348
+ 388
1349
+ 00:34:41,070 --> 00:34:46,290
1350
+ .. ุงู„ู€.. ุงู„ู€external ุงู„ู„ูŠ
1351
+
1352
+ 389
1353
+ 00:34:46,290 --> 00:34:54,770
1354
+ ู‡ูˆ ุงู„ู€omegaุŒ ุชุฑุฏุฏ ู„ู„ู…ุตุฏุฑ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุทุŒ ุจูŠูƒูˆู†
1355
+
1356
+ 390
1357
+ 00:34:54,770 --> 00:34:59,730
1358
+ ุชู‚ุฑูŠุจุง ูŠุณุงูˆูŠ ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู…ุŒ ุจูŠุตูŠุฑ ุนู†ุฏ
1359
+
1360
+ 391
1361
+ 00:34:59,730 --> 00:35:05,550
1362
+ ุฅูŠุด ุฅูŠุดุŸ ุจูŠุตูŠุฑ ุนู†ุฏุŒ ูˆุงู„ุถุบุท ุจูŠุชุบูŠุฑุŒ ุจูŠุตูŠุฑ ุนู†ุฏ ุงู„ู€
1363
+
1364
+ 392
1365
+ 00:35:05,550 --> 00:35:08,390
1366
+ amplitudeุŒ ุจูŠุตูŠุฑ ูŠุชุตุฑู ุจุดูƒู„ ุฌู†ูˆู†ูŠุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1367
+
1368
+ 393
1369
+ 00:35:08,390 --> 00:35:11,370
1370
+ diaphragmุŒ ุจูŠุตูŠุฑ ูŠุทู„ุนุŒ ุจูŠุตูŠุฑ ูŠุจู‚ู‰ ูŠุนู…ู„ deflections
1371
+
1372
+ 394
1373
+ 00:35:11,370 --> 00:35:15,110
1374
+ high deflectionsุŒ ุจูŠุตูŠุฑ ุงู„ู€amplitudeุŒ ุงู„ู€amplitude
1375
+
1376
+ 395
1377
+ 00:35:15,110 --> 00:35:19,270
1378
+ of
1379
+
1380
+ 396
1381
+ 00:35:19,270 --> 00:35:20,370
1382
+ diaphragm
1383
+
1384
+ 397
1385
+ 00:35:26,470 --> 00:35:31,910
1386
+ deflection is getting too
1387
+
1388
+ 398
1389
+ 00:35:31,910 --> 00:35:35,970
1390
+ highุŒ ู…ู…ูƒู†
1391
+
1392
+ 399
1393
+ 00:35:35,970 --> 00:35:39,830
1394
+ ูŠุนู…ู„ failure ู„ู„ุฌู‡ุงุฒ
1395
+
1396
+ 400
1397
+ 00:35:39,83
1398
+
1399
+ 445
1400
+ 00:38:53,650 --> 00:38:59,930
1401
+ ุฃูŠู‡ ุนู„ูŠู‡ force FุŒ ูˆ ุฃู†ุง ููŠ ุงู„ู€ elastic region ุงู„ู€
1402
+
1403
+ 446
1404
+ 00:38:59,930 --> 00:39:03,470
1405
+ sigma ุจุชุงุนุชู‡ ุงู„ู€ stress ู…ุด ู‡ุชูƒูˆู† ุณุงูˆูŠ ุจุงู„ุณูˆุงุก F ุนู„ู‰
1406
+
1407
+ 447
1408
+ 00:39:03,470 --> 00:39:12,990
1409
+ AุŒ ุจุงู„ุณูˆุงุก E ููŠ ุฃุจุณู„ูˆู† ูŠุนู†ูŠ
1410
+
1411
+ 448
1412
+ 00:39:12,990 --> 00:39:17,630
1413
+ F ุนู„ู‰ A ุจุงู„ุณูˆุงุก E ุฃุจุณู„ูˆู† ู‡ูŠ ุนุจุงุฑุฉ ุนู† Delta
1414
+
1415
+ 449
1416
+ 00:39:17,630 --> 00:39:20,130
1417
+ Deflection ุนู„ู‰ L
1418
+
1419
+ 450
1420
+ 00:39:25,890 --> 00:39:36,790
1421
+ ูŠุนู†ูŠ ุงู„ู€ F ู‡ุชูƒูˆู† ุชุณุงูˆูŠ A ุนู„ู‰ N ููŠ DeltaุŒ ู„ูˆ
1422
+
1423
+ 451
1424
+ 00:39:36,790 --> 00:39:42,610
1425
+ ุนู†ุฏูŠ ุฒู…ุจุฑูƒุŒ ุนู„ุงู‚ุฉ ุงู„ู€ extension ู…ุน ุงู„ู€ force ุฒู…ุจุฑูƒ F
1426
+
1427
+ 452
1428
+ 00:39:42,610 --> 00:39:51,640
1429
+ ุจูŠุณุงูˆูŠ ุฅูŠุดุŸ K ููŠ XุŒ ูŠุนู†ูŠ ู„ูˆ ู‡ุฏูŠุช ุญูƒูŠุช ู‡ุฏูŠุช FุŒ ู‡ุฏูŠุช XุŒ ู‡ุฐุง
1430
+
1431
+ 453
1432
+ 00:39:51,640 --> 00:39:57,200
1433
+ ุฅูŠุด ู‡ุชูƒูˆู†ุŸ KุŒ ููƒู†ุง ู†ุนุชุจุฑู‡ ุฃู†ุง ุฒู…ุจุฑูƒุŒ ุฃู†ู‡ .. ู‡ุฐุง ู‡ูˆ
1434
+
1435
+ 454
1436
+ 00:39:57,200 --> 00:40:05,200
1437
+ ูุนู„ุงู‹ ุฒู…ุจุฑูƒุŒ K ุจุชุงุนุชู‡ ุจุงู„ุณูˆุงุก A E ุนู„ู‰ L ุจู†ูุณ ุงู„ุณูŠุงู‚
1438
+
1439
+ 455
1440
+ 00:40:05,200 --> 00:40:11,720
1441
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ membrane ู‡ุชูƒูˆู† ู„ู‡ .. ุฅู„ู‡ KุŒ ุงู„ู€ K ุจูŠุชู…ุฏ
1442
+
1443
+ 456
1444
+ 00:40:11,720 --> 00:40:19,640
1445
+ ุนู„ู‰ ุงู„ู€ geometryุŒ ู‡ุฐู‡ ุงู„ู€ geometry ูˆ ุงู„ู€ material ุงู„ู€ a
1446
+
1447
+ 457
1448
+ 00:40:19,640 --> 00:40:23,120
1449
+ ุงู„ู„ูŠ ู‡ูŠ modulus of elasticityุŒ ูŠุนู†ูŠ ุงู„ู€ a ู…ู…ูƒู† ูŠุนุจุฑ
1450
+
1451
+ 458
1452
+ 00:40:23,120 --> 00:40:27,320
1453
+ ุนู† ุฒู…ุจุฑุงูƒูŠุฉ ุงู„ู…ุงุฏุฉุŒ how stiff a spring the material
1454
+
1455
+ 459
1456
+ 00:40:27,320 --> 00:40:31,320
1457
+ isุŒ ู…ู…ูƒู† ุฅุฐุง ุงู„ู€ material too stiffุŒ ูุงู†ุช ุชุจู‚ู‰ ุนู†ู‡
1458
+
1459
+ 460
1460
+ 00:40:31,320 --> 00:40:34,900
1461
+ ุฒู…ุจุฑุฉ ู‚ูˆูŠ ุฌุฏุงู‹ .. ู‚ูˆูŠ ุฌุฏุงู‹ุŒ ุจุณ ู„ูƒู† ู„ูŠุณ ูู‚ุท .. ู„ูŠุณ ูู‚ุท
1462
+
1463
+ 461
1464
+ 00:40:34,900 --> 00:40:38,580
1465
+ ุงู„ู€ materialุŒ ุงู„ู€ material ุฃุญุฏ ุงู„ู…ุคุซุฑุงุชุŒ ู…ุคุซุฑุงุช ุชุงู†ูŠุฉ
1466
+
1467
+ 462
1468
+ 00:40:38,580 --> 00:40:43,430
1469
+ ุฅูŠุดุŸ ุงู„ู€ geometryุŒ ุงู„ู€ cross-sectional areaุŒ ุฃูˆ ุงู„ู„ูŠ ู‡ูŠ
1470
+
1471
+ 463
1472
+ 00:40:43,430 --> 00:40:48,430
1473
+ ุทุจุนุงู‹ ู„ู€ flat plate ุจุฎุชู„ู ุจุงู„ู„ูŠ ุงู„ู„ูŠ ู„ู‡ equation
1474
+
1475
+ 464
1476
+ 00:40:48,430 --> 00:40:52,810
1477
+ ุชุงู†ูŠุฉุŒ ุจุณ ู‡ุงูŠ ุงู„ู€ principle ุจุชุญูˆู„ ุงู„ู„ูŠ ูŠู„ู‚ู‰ ุจูŠู† ุงู„ู€
1478
+
1479
+ 465
1480
+ 00:40:52,810 --> 00:40:57,310
1481
+ deflection ูˆ ุงู„ู€ force ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ู‡ูŠ F ูˆ DeltaุŒ ูˆ
1482
+
1483
+ 466
1484
+ 00:40:57,310 --> 00:41:01,050
1485
+ ุจูŠุทู„ุน ุนู†ุฏูƒ some term ุจุฎุชู„ู ููŠ ุงู„ู€ plateุŒ ู‡ูˆ ุทุจุนุงู‹
1486
+
1487
+ 467
1488
+ 00:41:01,050 --> 00:41:03,130
1489
+ ูŠู…ุซู„ุด ุงู„ู€ spring constant
1490
+
1491
+ 468
1492
+ 00:41:12,560 --> 00:41:17,440
1493
+ ุทุจุนุงู‹ deflection of flat plate
1494
+
1495
+ 469
1496
+ 00:41:17,440 --> 00:41:23,360
1497
+ diaphragm ูŠุนู†ูŠ
1498
+
1499
+ 470
1500
+ 00:41:23,360 --> 00:41:30,900
1501
+ ู…ุด ู…ุณู…ูˆุญ ู„ูƒ ุชุชุฌุงูˆุฒ ุญุฏ ู…ุนูŠู† ู…ู† ุงู„ู€ stressุŒ ูŠุนู†ูŠ ู…ุด
1502
+
1503
+ 471
1504
+ 00:41:30,900 --> 00:41:35,280
1505
+ ู…ุณู…ูˆุญ ู„ูƒ ุจุจุณุงุทุฉ ุชุฏุฎู„ ุงู„ู€ plastic rangeุŒ ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ
1506
+
1507
+ 472
1508
+ 00:41:35,280 --> 00:41:39,400
1509
+ ู‡ุฐุง ู…ุตู…ู… ูŠู‚ูŠุณ ุงู„ุถุบุท ู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุงุจุงุณูƒุงู„ุŒ ุฅุฐุง ุญุทูŠุช
1510
+
1511
+ 473
1512
+ 00:41:39,400 --> 00:41:43,720
1513
+ pressure ู…ุงุฆุชูŠู† ู…ูŠุฌุงุจุงุณูƒุงู„ุŒ ุงู„ุฃุบู„ุจ ู‡ุตูŠุฑ out of
1514
+
1515
+ 474
1516
+ 00:41:43,720 --> 00:41:47,100
1517
+ rangeุŒ ูŠุนู†ูŠ ุฏู‡ ู…ุนู†ุงู‡ ุฏุฎู„ุช ุฏุฎู„ุช ููŠ ุงู„ู€ plastic range
1518
+
1519
+ 475
1520
+ 00:41:47,100 --> 00:41:52,920
1521
+ ุงู„ู„ูŠ ู„ูŠู‡ ู„ูŠู…ุช ู…ุนูŠู†ุŒ ุทุจุนุงู‹ as a general ruleุŒ ุงู„ู€ max
1522
+
1523
+ 476
1524
+ 00:41:52,920 --> 00:41:56,080
1525
+ deflection ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ..
1526
+
1527
+ 477
1528
+ 00:41:56,080 --> 00:42:03,500
1529
+ ุงู„ู€ deflection ููŠ ุงู„ู€ membrane ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุฃูˆ ูŠูƒูˆู†
1530
+
1531
+ 478
1532
+ 00:42:03,500 --> 00:42:07,710
1533
+ ููŠ ุญุฏูˆุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ุฏุงูŠุงูุฑุงุบุŒ ูŠูƒูˆู†
1534
+
1535
+ 479
1536
+ 00:42:07,710 --> 00:42:15,530
1537
+ ุซู„ุงุซูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ู€ diaphragmุŒ ู‡ุฐุง as a
1538
+
1539
+ 480
1540
+ 00:42:15,530 --> 00:42:19,170
1541
+ general ruleุŒ ุทุจุนุงู‹ ู‡ุฐุง general rule ุจูŠุถู…ู† ู„ูŠ ุจูŠุถู…ู† ู„ูŠ
1542
+
1543
+ 481
1544
+ 00:42:19,170 --> 00:42:22,450
1545
+ ุฃู† ุฃู†ุง ุฃุธู„ ููŠ ุงู„ู€ elastic regionุŒ ู…ุง ุฃุฏุฎู„ุด ุงู„ู€
1546
+
1547
+ 482
1548
+ 00:42:22,450 --> 00:42:28,550
1549
+ plastic regionุŒ ุทูŠุจ
1550
+
1551
+ 483
1552
+ 00:42:28,550 --> 00:42:31,230
1553
+ ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ู€ strain gauges
1554
+
1555
+ 484
1556
+ 00:42:37,470 --> 00:42:42,590
1557
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ strain gauge pressure
1558
+
1559
+ 485
1560
+ 00:42:42,590 --> 00:42:50,210
1561
+ cellsุŒ ููƒุฑุชู‡ุง
1562
+
1563
+ 486
1564
+ 00:42:50,210 --> 00:42:57,450
1565
+ ููƒุฑุฉ ุงู„ู€ strain gauge pressure cellsุŒ ุทูŠุจ
1566
+
1567
+ 487
1568
+ 00:42:57,450 --> 00:43:06,150
1569
+ ุจุณ ู„ู„ุฃุณู ู…ุด ู‡ุทู„ุจ ู…ู†ูƒู…ุŒ ุฅุฐุง ูƒู†ุชูˆุง ู‚ุตุทูˆุงู†ุฉ ุฌูˆุงู‡ุง ุถุบุท
1570
+
1571
+ 488
1572
+ 00:43:07,170 --> 00:43:09,610
1573
+ ููŠู‡ ุถุบุท ู…ู† ุฌูˆู‡ ูˆููŠู‡ ุถุบุท ู…ู† ุจุฑุงุŒ ุงุญู†ุง ุญุงู„ุชู†ุง ู‡ูŠูƒูˆู†
1574
+
1575
+ 489
1576
+ 00:43:09,610 --> 00:43:15,630
1577
+ ุถุบุท ุฅูŠุดุŸ ู…ู† ุฌูˆู‡ุŒ ูŠุนู†ูŠ ุถุบุท ุฎุงุฑุฌ ุดูˆ ูŠุณุงูˆูŠุŸ zeroุŒ ุฅุฐุง
1578
+
1579
+ 490
1580
+ 00:43:15,630 --> 00:43:20,050
1581
+ ูƒุงู† ุถุบุท ุฎุงุฑุฌ ุงู„ู€ zeroุŒ in general caseุŒ in general
1582
+
1583
+ 491
1584
+ 00:43:20,050 --> 00:43:23,770
1585
+ case ุจูŠูƒูˆู† ุถุบุท ู…ู† ุฌูˆู‡ ูˆุถุบุท ู…ู† ุจุฑุงุŒ ุถุบุท ู…ู† ุฌูˆู‡ ูˆ
1586
+
1587
+ 492
1588
+ 00:43:23,770 --> 00:43:27,050
1589
+ ุถุบุท ู…ู† ุจุฑุงุŒ ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุถุบุท ุจูŠุตูŠุฑ ุนู†ุฏูŠ tangential
1590
+
1591
+ 493
1592
+ 00:43:27,050 --> 00:43:30,770
1593
+ ููŠ ุงู„ู€ .. ูŠุนู†ูŠ ุนู†ุฏูŠ high radius ุฏุงุฎู„ูŠ ูˆ high radius
1594
+
1595
+ 494
1596
+ 00:43:30,770 --> 00:43:35,770
1597
+ ุฎุงุฑุฌูŠุŒ ุจูŠุตูŠุฑ .. ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress tangential
1598
+
1599
+ 495
1600
+ 00:43:37,330 --> 00:43:43,370
1601
+ ูˆ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ radial stressุŒ radial stressุŒ ุงุญู†ุง
1602
+
1603
+ 496
1604
+ 00:43:43,370 --> 00:43:46,250
1605
+ ุจูŠุจู‚ู‰ ู…ู† ุงู„ู€ tangential stressุŒ ู‡ุฐูŠ ุนู„ุงู‚ุฉ ุงู„ู€ tangential ุงู„ู€
1606
+
1607
+ 497
1608
+ 00:43:46,250 --> 00:43:50,130
1609
+ stressุŒ ูˆ ู‡ุฐู‡ ุนู„ุงู‚ุฉ ุงู„ู€ radial stressุŒ ูุฃู†ุง ุนู†ุฏูŠ
1610
+
1611
+ 498
1612
+ 00:43:50,130 --> 00:43:52,310
1613
+ two pressuresุŒ pressure from insideุŒ pressure from
1614
+
1615
+ 499
1616
+ 00:43:52,310 --> 00:43:54,970
1617
+ outsideุŒ ููŠ ุญุงู„ุชู†ุง ู‡ูŠูƒูˆู† pressure from outside ุฅูŠุด
1618
+
1619
+ 500
1620
+ 00:43:54,970 --> 00:44:00,050
1621
+ ู…ุนู„ูˆู…ุฉุŸ zeroุŒ ุงู„ู…ุนุงุฏู„ุฉ ููŠ ุงู„ุญุงู„ุฉ ุฏู‡ ุชุชุจุณุทุŒ ุจูŠุตูŠุฑ
1622
+
1623
+ 501
1624
+ 00:44:00,050 --> 00:44:03,190
1625
+ ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ tangential stressุŒ ุงู„ุชู†ุฌูŠุด ุงู„ู€ stress
1626
+
1627
+ 502
1628
+ 00:44:03,190 --> 00:44:06,910
1629
+ ุจูŠูƒูˆู† high distribution ุชุจุนู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง
1630
+
1631
+ 503
1632
+ 00:44:11,200 --> 00:44:14,960
1633
+ ุจูŠูƒูˆู† maximum ู‡ู†ุงุŒ tangential stressุŒ ูˆ minimum ุจุฑุง
1634
+
1635
+ 504
1636
+ 00:44:14,960 --> 00:44:24,320
1637
+ ุงู„ู€ radial stress ุจูŠูƒูˆู† maximum ุฌูˆู‡ุŒ ูˆ ุจุฑุง ุตูุฑุŒ zero
1638
+
1639
+ 505
1640
+ 00:44:24,320 --> 00:44:29,980
1641
+ ู…ุงููŠุด radial stressุŒ ูู„ู…ุง ุฃู†ุง ุฃุญุท strain gauge ูŠุนู†ูŠ
1642
+
1643
+ 506
1644
+ 00:44:29,980 --> 00:44:34,580
1645
+ ุงู„ููƒุฑุฉ ุฃู†ู‡ ุฃู†ุง ููŠ ุถุบุทุŒ ุงู„ุถุบุท ุจุนู…ู„ stresses ุฃู†ุง ุจู‡ู…
1646
+
1647
+ 507
1648
+ 00:44:34,580 --> 00:44:38,020
1649
+ ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠุŒ ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠุŒ ุน ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุจูŠูƒูˆู†
1650
+
1651
+ 508
1652
+ 00:44:38,020 --> 00:44:42,790
1653
+ ููŠ tangential stressุŒ ูˆ ู„ุง ูŠูˆุฌุฏ radial stressุŒ ุฅุฐุง ู„ู…
1654
+
1655
+ 509
1656
+ 00:44:42,790 --> 00:44:49,930
1657
+ ุชุณุชุฌูŠุจ ุงู„ุถุบุทุŒ ู…ุงุฐุง ุณูŠุญุฏุซุŸ ุณูŠุชู…ุฏุฏุŒ ุฅุฐุง ุฑูƒู‘ุจุช
1658
+
1659
+ 510
1660
+ 00:44:49,930 --> 00:44:57,030
1661
+ strain gauge ู„ุฃู†
1662
+
1663
+ 511
1664
+ 00:44:57,030 --> 00:45:04,310
1665
+ ุงุฑุชูุน ุงู„ุถุบุทุŒ ุณูŠุชู…ุฏุฏ strain gaugeุŒ ุชุชุบูŠุฑ ู…ุงุฐุงุŸ ุชุชุบูŠุฑ
1666
+
1667
+ 512
1668
+ 00:45:04,310 --> 00:45:04,570
1669
+ ู…ู‚ุงูˆู…ุชู‡
1670
+
1671
+ 513
1672
+ 00:45:07,370 --> 00:45:11,030
1673
+ ุชุชุบูŠุฑ ุงู„ู€ resistanceุŒ ุจู‚ูŠุณ ุงู„ู€ resistanceุŒ ูˆููŠ ุนู„ุงู‚ุฉ
1674
+
1675
+ 514
1676
+ 00:45:11,030 --> 00:45:15,170
1677
+ ุจูŠู† ุงู„ู€ resistanceุŒ ุนู„ุงู‚ุฉุŒ ู†ุฑุฌุน ู„ุฌูˆู‡ุŒ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
1678
+
1679
+ 515
1680
+ 00:45:15,170 --> 00:45:23,750
1681
+ Delta R ู…ุน ุงู„ู€ deflectionุŒ ูˆุงู„ู€ deflection ุนู„ุงู‚ุฉ ู…ุน
1682
+
1683
+ 516
1684
+ 00:45:23,750 --> 00:45:28,450
1685
+ ุฅูŠุดุŸ ุงู„ู€ deflection ุนู„ุงู‚ุฉ ู…ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ sigma
1686
+
1687
+ 517
1688
+ 00:45:28,450 --> 00:45:34,030
1689
+ tangentialุŒ ูˆุงู„ู€ sigma tangential ุนู„ุงู‚ุฉ ููŠ ุฅูŠุดุŸ ููŠ
1690
+
1691
+ 518
1692
+ 00:45:34,030 --> 00:45:40,980
1693
+ ุงู„ู€ pressureุŒ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุดุŸ ุนู„ู‰ ุงู„ุณุทุญ ุงู„ุฎุงุฑุฌูŠุŒ ุทุจุนุงู‹ ู‡ุฐุง
1694
+
1695
+ 519
1696
+ 00:45:40,980 --> 00:45:47,380
1697
+ r iุŒ ูˆ ู‡ุฐุง r oุŒ ุจูŠูƒูˆู† ุงู„ู€ r o ุจุงู„ุณุงูˆูŠ ุฅูŠุดุŸ ุงู„ู€ r
1698
+
1699
+ 520
1700
+ 00:45:47,380 --> 00:45:50,260
1701
+ ุจูŠูƒูˆู† ุณุงูˆูŠ r oุŒ ูŠุนู†ูŠ ู‡ุฐุง ู‡ุชูƒูˆู† r o ุนู„ู‰ r oุŒ ุจูŠุตูŠุฑ
1702
+
1703
+ 521
1704
+ 00:45:50,260 --> 00:45:53,300
1705
+ ูˆุงุญุฏุŒ ุฒุงุฆุฏ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุจุชูƒูˆู† ุงู„ู€ sigma tangential
1706
+
1707
+ 522
1708
+ 00:45:53,300 --> 00:46:01,900
1709
+ sigma tangential ุจุงู„ุณุงูˆูŠ r i ุชุฑุจูŠุน ููŠ P ุนู„ู‰ r o
1710
+
1711
+ 523
1712
+ 00:46:01,900 --> 00:46:11,990
1713
+ ุชุฑุจูŠุนุŒ ู†ุงู‚ุต r i ุชุฑุจูŠุน ููŠ ุงุซู†ูŠู† ููŠ ุงุซู†ูŠู†ุŒ ู„ุญุธุฉุŒ ุงู„ู€ r
1714
+
1715
+ 524
1716
+ 00:46:11,990 --> 00:46:19,550
1717
+ i ูˆ ุงู„ู€ r o ูˆ ุงู„ู€ r iุŒ ุฅูŠุด ุงู„ู…ุนู„ูˆู…ุงุช ุฏูˆู„ุŸ ุซูˆุงุจุชุŒ
1718
+
1719
+ 525
1720
+ 00:46:19,550 --> 00:46:25,850
1721
+ ุตุญุŸ ูˆ ุงู„ุงุซู†ูŠู† ูˆุงู„ุซู„ุงุซุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ sigma ุจุงู„ุณูˆุงุก
1722
+
1723
+ 526
1724
+ 00:46:25,850 --> 00:46:32,270
1725
+ constantุŒ ุณู…ู‘ูŠู‡ alpha ู…ุน ุงู„ู€ pressureุŒ ูุงู„ุนู„ุงู‚ุฉ
1726
+
1727
+ 527
1728
+ 00:46:32,270 --> 00:46:35,990
1729
+ ุจูŠู† ุงู„ู€ stress ูˆ ุงู„ู€ pressure linear
1730
+
1731
+ 528
1732
+ 00:46:39,040 --> 00:46:43,120
1733
+ ูˆุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ู€ strain ูˆ ุงู„ู€ tangential ุจุฑุถู‡ ู‡ุชูƒูˆู†
1734
+
1735
+ 529
1736
+ 00:46:43,120 --> 00:46:46,800
1737
+ ุฅุฐุง ุฃู†ุง ููŠ ุงู„ู€ elastic range ู‡ุชูƒูˆู† ุฅูŠุดุŸ linear
1738
+
1739
+ 530
1740
+ 00:46:46,800 --> 00:46:54,960
1741
+ ู‡ุชูƒูˆู† sigma tangential ุจุงู„ุณูˆุงุก E ููŠ deltaุŒ ูŠุนู†ูŠ ุจุญุณ
1742
+
1743
+ 531
1744
+ 00:46:54,960 --> 00:47:02,200
1745
+ ุฃู†ู‡ุง ุฅูŠุดุŸ ุงู„ู€ deltaุŒ ุจุฑุฌุน ูˆ ุฃุฑุฌุนุŒ ูˆ ุงู„ู€ delta ู…ุน delta
1746
+
1747
+ 532
1748
+ 00:47:02,200 --> 00:47:11,670
1749
+ R linearุŒ ูˆุงุถุญุŸ ููŠ ุงู„ุขุฎุฑ ุงู„ู€ Delta R ู…ุฑุชุจุทุฉ ู…ุน ุงู„ู€
1750
+
1751
+ 533
1752
+ 00:47:11,670 --> 00:47:15,270
1753
+ input ุจุชุงุนู†ุง ุงู„ู€ pressureุŒ ู…ุฏุฉ ุงู„ู€ pressureุŒ ุชู†ุจุฌู†ุด ุงู„ู€
1754
+
1755
+ 534
1756
+ 00:47:15,270 --> 00:47:20,710
1757
+ stressุŒ deflectionุŒ ุฃูˆ strainุŒ ุจุนุฏูŠู† change ุงู„ู€
1758
+
1759
+ 535
1760
+ 00:47:20,710 --> 00:47:25,750
1761
+ resistanceุŒ ูˆ I measure ุงู„ู€ resistanceุŒ ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ
1762
+
1763
+ 536
1764
+ 00:47:25,750 --> 00:47:29,550
1765
+ ู‡ูˆ ุงู„ููƒุฑุฉ
1766
+
1767
+ 537
1768
+ 00:47:29,550 --> 00:47:33,850
1769
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุน
1770
+
1771
+ 538
1772
+ 00:47:33,850 --> 00:47:34,490
1773
+ ุงู„ุซุงู†ูŠ ู…ู†
1774
+
1775
+ 539
1776
+ 00:48:12,200 --> 00:48:17,140
1777
+ ุทูŠุจุŒ ู…ุนู†ุงู‡ ุชู‚ุฏูŠู…ุฉ ุงู„ููƒุฑุฉุŒ ุฃุญุฏ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง
1778
+
1779
+ 540
1780
+ 00:48:17,140 --> 00:48:19,540
1781
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1782
+
1783
+ 541
1784
+ 00:48:19,540 --> 00:48:20,240
1785
+ cellุŒ pressure cellุŒ pressure cellุŒ pressure cellุŒ
1786
+
1787
+ 542
1788
+ 00:48:20,240 --> 00:48:21,860
1789
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1790
+
1791
+ 543
1792
+ 00:48:21,860 --> 00:48:22,480
1793
+ cellุŒ pressure cellุŒ pressure cellุŒ pressure cellุŒ
1794
+
1795
+ 544
1796
+ 00:48:22,480 --> 00:48:22,720
1797
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1798
+
1799
+ 545
1800
+ 00:48:22,720 --> 00:48:22,760
1801
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1802
+
1803
+ 546
1804
+ 00:48:22,760 --> 00:48:23,060
1805
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1806
+
1807
+ 547
1808
+ 00:48:23,060 --> 00:48:24,100
1809
+ cellุŒ pressure cellุŒ pressure cellุŒ pressure cellุŒ
1810
+
1811
+ 548
1812
+ 00:48:24,100 --> 00:48:26,440
1813
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1814
+
1815
+ 549
1816
+ 00:48:26,440 --> 00:48:27,120
1817
+ pressure cellุŒ pressure cellุŒ pressure cellุŒ pressure
1818
+
1819
+ 550
1820
+ 00:48:27,120 --> 00:48:32,020
1821
+ cellุŒ pressure cellุŒ pressure cellุŒ pressure
1822
+
1823
+ 551
1824
+ 00:48:32,020 --> 00:48:39,380
1825
+ cellุŒ pressure
1826
+
1827
+ 552
1828
+ 00:48:39,380 --> 00:48:42,200
1829
+ cellุŒ pressure cellุŒ ุงู„ุชู…ุงุช ุจูŠุนู…ู„ Delta RุŒ ุจู‚ูŠุณ Delta R
1830
+
1831
+ 553
1832
+ 00:48:42,200 --> 00:48:46,020
1833
+ ู‡ูˆุŒ ูˆููŠ two strain gaugesุŒ ุทุจุนุงู‹ ู‡ู†ุง ู‚ูˆูŠุฉ ุฌุฏุงู‹ุŒ ู‡ู†ุง ููŠ
1834
+
1835
+ 554
1836
+ 00:48:46,020 --> 00:48:49,520
1837
+ strain gaugesุŒ ูŠุนู†ูŠ ุจูŠุญุท ุงุซู†ูŠู† ุถุงู…ูŠ strain gauges
1838
+
1839
+ 555
1840
+ 00:48:49,520 --> 00:48:56,100
1841
+ ุนุดุงู† ุชุนู…ู„ temperature compensationุŒ ูƒูŠูุŸ ูŠุนู†ูŠ ู‡ู†ุง
1842
+
1843
+ 556
1844
+ 00:48:56,100 --> 00:49:00,980
1845
+ ู‡ู†ู„ุงู‚ูŠ strainุŒ ูŠุนู†ูŠ ุงูุชุฑุถ ุฃู† ุนู†ุฏูƒ ุงู„ู€ liquid ุฃูˆ ุงู„ุบุงุฒ
1846
+
1847
+ 557
1848
+ 00:49:00,980 --> 00:49:09,220
1849
+ ุณุฎู‘ู†ุŒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐุง ุญุชุฉ ุทูŠู†ุŒ ูŠุนู†ูŠ ุงู„ุชู…ุฏุฏ due to
1850
+
1851
+ 558
1852
+ 00:49:09,220 --> 00:49:15,740
1853
+ temperatureุŒ ูˆ due to pressureุŒ ู‡ุฐุง ุฅูŠุด ุจูŠุนุทูŠู†ุงุŸ ุจุณ
1854
+
1855
+ 559
1856
+ 00:49:15,740 --> 00:49:21,200
1857
+ temperatureุŒ ุจุทุฑุญู‡ู… ุจูŠุนุทูŠู†ูŠ ุงู„ู€ netุŒ ู†ุชูŠุฌุฉ ุฅูŠุดุŸ ุงู„ู€
1858
+
1859
+ 560
1860
+ 00:49:21,200 --> 00:49:26,180
1861
+ pressureุŒ ูˆุงุถุญุŸ ู„ูŠุด ู‡ุงุฏ ุงู„ู…ูˆุฌูˆุฏูŠู† ุจูŠุณู…ูˆู‡ุง dummy
1862
+
1863
+ 561
1864
+ 00:49:26,180 --> 00:49:31,720
1865
+ strain gaugesุŒ ุฃูˆ temperature compensating strain
1866
+
1867
+ 562
1868
+ 00:49:31,720 --> 00:49:39,050
1869
+ gaugesุŒ ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุฃู†ุง ุจู‚ูŠุณ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1870
+
1871
+ 563
1872
+ 00:49:39,050 --> 00:49:48,030
1873
+ pressure ุจุทุฑูŠู‚ุฉ digital somehowุŒ digitalุŒ ู‡ุฐู‡ ุงู„ู„ูŠ
1874
+
1875
+ 564
1876
+ 00:49:48,030 --> 00:49:54,610
1877
+ ู‡ูŠ ุงู„ู€ strain gauge pressure ุณู„ุŒ ุทุจุนุงู‹
1878
+
1879
+ 565
1880
+ 00:49:54,610 --> 00:49:58,410
1881
+ ุฃู†ุง ุจุจุฏุฃ ุฃุฏุฎู„ designุŒ ุงู„ุชูุงุตูŠู„ุŒ ูˆ ุจุจุฏุฃ ุฃุดูˆู ุงู„ู€
1882
+
1883
+ 566
1884
+ 00:49:58,410 --> 00:50:03,910
1885
+ material ุจุชุงุนุฉ ุงู„ู€ cylinderุŒ ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ุŒ ุงู„ู€
1886
+
1887
+ 567
1888
+ 00:50:03,910 --> 00:50:10,890
1889
+ thicknessุŒ ุงู„ุทูˆู„ุŒ ุงู„ุทูˆู„ุŒ ูˆ ุงู„ู€ response ุจุชุงุนุชู‡ุง ู…ุน ุฏุฑุฌุฉ
1890
+
1891
+ 568
1892
+ 00:50:10,890 --> 00:50:16,370
1893
+ ุงู„ุญุฑุงุฑุฉุŒ ูˆ ุทุฑูŠู‚ุฉ ุงู„ู€ connectionุŒ ูŠุนู†ูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
1894
+
1895
+ 569
1896
+ 00:50:16,370 --> 00:50:20,550
1897
+ ู„ุงุฒู… ุชูƒูˆู† ุฅูŠุดุŸ ููŠ ุณู…ุงูƒุฉุŒ ู‡ูŠ ู…ุชูˆู‚ุนุฉ ุชูƒูˆู† ููŠ
1898
+
1899
+ 570
1900
+ 00:50:20,550 --> 00:50:27,110
1901
+ thickness ูŠูƒูˆู† ุฅูŠุดุŸ ู‚ู„ูŠู„ุŒ ูŠุนู†ูŠ
1902
+
1903
+ 571
1904
+ 00:50:27,110 --> 00:50:29,230
1905
+ ุฃููƒุงุฑ ุณู‡ู„ุฉ
1906
+
1907
+ 572
1908
+ 00:50:42,190 --> 00:50:48,730
1909
+ ูŠุนู†ูŠ ุงู„ุจุนุถ ุฃุญูŠุงู†ุงู‹ ู…ู…ูƒู† ุฃู†ุช ุชุนู…ู„ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ุงู„ุฎุงุต
1910
+
1911
+ 573
1912
+ 00:50:48,730 --> 00:50:55,330
1913
+ ููŠูƒุŒ ูƒู„ ู…ุง ุจุฏุฃุช ุงู„ู€ ุณูŠุท ูŠุนู†ูŠ ุฃูŠูˆุฉุŒ ูู„ูˆ ุฃู†ุง ุจุจุฏุฃ ุฃุนู…ู„
1914
+
1915
+ 574
1916
+ 00:50:55,330 --> 00:51:00,270
1917
+ ุดุบู„ very low pressureุŒ ู…ู…ูƒู† ุฃุนู…ู„ ุฌู‡ุงุฒ ู‡ูŠูƒุŒ ุนุงู…
1918
+
1919
+ 575
1920
+ 00:51:00,270 --> 00:51:06,610
1921
+ ุจุงู„ู„ูˆู† ุฎุตูˆุตุงู‹ุŒ ุฃูˆ ู…ูŠุฒุงู†ุŒ ููŠู‡ ุดุบู„ุงุช ูƒุชูŠุฑ ู…ู…ูƒู† ุชู†ุนู…ู„
1922
+
1923
+ 576
1924
+ 00:51:06,610 --> 00:51:10,770
1925
+ ุทูŠุจุŒ ุงู„ุขู† ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุทุจุนุงู‹ ู‡ู†ุงุŒ sensitive of a
1926
+
1927
+ 577
1928
+ 00:51:10,770 --> 00:51:13,670
1929
+ pair of circumferentially mounted strain with
1930
+
1931
+ 578
1932
+ 00:51:13,670 --> 00:51:16,290
1933
+ gauge factor of ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1934
+
1935
+ 579
1936
+ 00:51:16,290 --> 00:51:16,470
1937
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1938
+
1939
+ 580
1940
+ 00:51:16,470 --> 00:51:16,510
1941
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1942
+
1943
+ 581
1944
+ 00:51:16,510 --> 00:51:16,770
1945
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1946
+
1947
+ 582
1948
+ 00:51:16,770 --> 00:51:19,190
1949
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1950
+
1951
+ 583
1952
+ 00:51:19,190 --> 00:51:19,790
1953
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1954
+
1955
+ 584
1956
+ 00:51:19,790 --> 00:51:23,350
1957
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1958
+
1959
+ 585
1960
+ 00:51:23,350 --> 00:51:27,770
1961
+ ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€ .. ู„ู€
1962
+
1963
+ 586
1964
+ 00:51:27,770 --> 00:51:33,660
1965
+ ู„ู€ .. ู„ู€ .. ุงู„ู€ change of resistance due to change in
1966
+
1967
+ 587
1968
+ 00:51:33,660 --> 00:51:39,120
1969
+ dimensionsุŒ ุงู„ู€ P i ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ pressure inside ุงู„ู€
1970
+
1971
+ 588
1972
+ 00:51:39,120 --> 00:51:45,140
1973
+ tubeุŒ ุงู„ู€ R ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ nominal resistanceุŒ ุฃูˆ ุงู„ู€
1974
+
1975
+ 589
1976
+ 00:51:45,140 --> 00:51:48,260
1977
+ nominal resistance ู„ู„ู€ string gaugeุŒ ุงู„ู„ูŠ ู‡ูŠ
1978
+
1979
+ 590
1980
+ 00:51:48,260 --> 00:51:52,890
1981
+ resistance ุจุชุงุนุชู‡ุงุŒ ุงู„ู€ nominalุŒ ุงู„ู€ D i ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุทุฑ ุงู„ุฏุงุฎู„ูŠ ุงู„ู€
1982
+
1983
+ 591
1984
+ 00:51:52,890 --> 00:51:56,650
1985
+ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ modulus of elasticityุŒ ุงู„ู€ New ุงู„ู„ูŠ ู‡ูŠ
1986
+
1987
+ 592
1988
+ 00:51:56,650 --> 00:52:02,290
1989
+ Poisson ratioุŒ ุงู„ู€ D o ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุทุฑ ุงู„ุฎุงุฑุฌูŠ
1990
+
1991
+ 593
1992
+ 00:52:02,290 --> 00:52:11,050
1993
+ ุทูŠุจุŒ ููŠ ุงู„ู€ .. ุทุจุนุงู‹ ููŠ ุงู„ูƒุชุงุจ ููŠู‡ ุฃุฌู‡ุฒุฉ ูƒุชูŠุฑ ู„ู‚ูŠุงุณ
1994
+
1995
+ 594
1996
+ 00:52:11,050 --> 00:52:16,270
1997
+ ุงู„ุถุบุทุŒ ุฐูƒุฑ ุฌุฒุก ุจุณูŠุท ู…ู†ู‡ุงุŒ ุงู„ููƒุฑุฉ ุจุบุถ ุงู„ู†ุธุฑ ุนู†
1998
+
1999
+ 595
2000
+ 00:52:16,270 --> 00:52:19,670
2001
+ ุงู„ุฌู‡ุงุฒ .. ุนู† .. ุนู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู… ู„ู„ู‚ูŠุงุณุŒ how to
2002
+
2003
+ 596
2004
+ 00:52:19,670 --> 00:52:22,270
2005
+ calibrate itุŒ ูƒูŠู ู†ุนู…ู„ู‡ calibrationุŒ ูŠุนู†ูŠ ู‡ุชุนู…ู„ ู„ู‡
2006
+
2007
+ 597
2008
+ 00:52:22,270 --> 00:52:28,590
2009
+ ุชุฌุฑุจุฉุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ุฌู‡ุงุฒ ุจุณ ู…ุง ุนุฑูุด ุฅุฐุง ุจุฏู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ
2010
+
2011
+ 598
2012
+ 00:52:28,590 --> 00:52:35,670
2013
+ ู‡ูˆ ุงู„ู€ dead weight centerุŒ ุงู„ู€ dead weight center
2014
+
2015
+ 599
2016
+ 00:52:35,670 --> 00:52:42,710
2017
+ pressure gauge ุงู„ู„ูŠ
2018
+
2019
+ 600
2020
+ 00:52:42,710 --> 00:52:48,600
2021
+ ู‡ูˆ ู‡ุฐุงุŒ ุนุดุงู† to calibrate any pressure measuring
2022
+
2023
+ 601
2024
+ 00:52:48,600 --> 00:52:53,760
2025
+ deviceุŒ ู„ูˆ ุจุฏูŠ ุฃุณุชุฎุฏู… ุงู„ุฌู‡ุงุฒ ุฏู‡ for calibrationุŒ ุจุฏูŠ
2026
+
2027
+ 602
2028
+ 00:52:53,760 --> 00:53:02,620
2029
+ ุฃุณุชุฎุฏู… ุฃูˆุฒุงู†ุŒ ูˆุงู„ุฌู‡ุงุฒ ุฏู‡ ู…ุง ู„ู‡ calibrationุŒ ุจูˆุตู„ ู„ู‡
2030
+
2031
+ 603
2032
+ 00:53:02,620 --> 00:53:11,520
2033
+ ู‡ู†ุง ุงู„ุขู† ู‡ูŠูƒูˆู† ุนู†ุฏูŠ ุงู„ู€ mass
2034
+
2035
+ 604
2036
+ 00:53:14,720 --> 00:53:21,700
2037
+ ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ู€ weightุŒ ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ู€ PุŒ ุงู„ู€ true pressure ุฏู‡
2038
+
2039
+ 605
2040
+ 00:53:21,700 --> 00:53:26,780
2041
+ ุณุงู…ุนุŒ ุงู„ู€ true pressureุŒ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุงู‹ trueุŒ ู…ุด true
2042
+
2043
+ 606
2044
+ 00:53:26,780 --> 00:53:34,160
2045
+ ู…ูŠุคู…ู‘ูู„ุฉุŒ ุจุนุฏูŠู† ุงู„ู€ P indicatedุŒ ุงู„ู€ indicated pressure
2046
+
2047
+ 607
2048
+ 00:53:34,160 --> 00:53:39,700
2049
+ indicatedุŒ ููŠู† ุงู„ู€ range ุจุชุงุนู‡ุŸ ู…ุซู„ุงู‹ ู†ุญูƒูŠ ู…ู† ุงู„ู€ range
2050
+
2051
+ 608
2052
+ 00:53:39,700 --> 00:53:50,740
2053
+ ุจุชุงุนู‡ ู…ุซู„ุงู‹ ู…ู† ุตูุฑ ู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุงุŒ ุจุณ ูƒุฏู‡ุŒ ู‡ุจุฏุฃ ู…ู† ุตูุฑ
2054
+
2055
+ 609
2056
+ 00:53:50,740 --> 00:53:57,560
2057
+ pressureุŒ zeroุŒ ู„ุฃ ู…ุด ู‡ุญุท ู„ู‡ ุจู‚ู‰ุŒ ู‡ุจุฏุฃ zeroุŒ ุฃูˆู„ ุดูŠุก
2058
+
2059
+ 610
2060
+ 00:53:57,560 --> 00:54:05,020
2061
+ ูˆุขุฎุฐ ู‚ุฑุงุกุงุชุŒ ู„ุงุฒู… ุฃุบุทูŠ ูƒู„ ุงู„ู€ rangeุŒ ุนู†ุฏ ู…ุงุฆุฉุŒ ู„ูˆ ุญูƒูŠุช
2062
+
2063
+ 611
2064
+ 00:54:05,020 --> 00:54:08,760
2065
+ ุฃู†ุง ูƒู„ ุนุดุฑูŠู† ู…ูŠุฌุง ู‡ุงุฎุฐุŒ ู‡ุงูŠ ุนุดุฑูŠู†
2066
+
2067
+ 612
2068
+ 00:54:12,230 --> 00:54:15,970
2069
+ ูŠุนู†ูŠ ุฃู†ุง ุจูƒูˆู† ุญุงุณุจ ุฅูŠุด ุจุฏูŠ ูˆุฒู† ุนุดุงู† ุฃุนุทูŠ ุนุดุฑูŠู†
2070
+
2071
+ 613
2072
+ 00:54:15,970 --> 00:54:21,190
2073
+ ู…ูŠุฌุงุŒ ุงู„ู€ mass ุจุญุณุจู‡
2074
+
2075
+ 614
2076
+ 00:54:21,190 --> 00:54:30,650
2077
+ ูŠุนุทูŠู†ุง ุนุดุฑูŠู† ู…ูŠุฌุงุŒ ุนุดุฑูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุณุชูŠู†ุŒ ุซู…ุงู†ูŠู†ุŒ ู…ุงุฆุฉ
2078
+
2079
+ 615
2080
+ 00:54:30,650 --> 00:54:36,070
2081
+ ุจุฑุถู‡ ุจุฏูŠ ุฃุฑุฌุนุŒ ุฌูˆุฉุŒ ุซู…ุงู†ูŠู†
2082
+
2083
+ 616
2084
+ 00:54:38,930 --> 00:54:46,890
2085
+ ุณุชูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุนุดุฑูŠู†ุŒ ุตูุฑุŒ ู„ู…ุง ุฃุฑุฌุน ุจุดูŠู„ ุงู„ูˆุฒู†ุฉ ูƒู„ู‡ุงุŒ ูˆ
2086
+
2087
+ 617
2088
+ 00:54:46,890 --> 00:54:54,270
2089
+ ุจุญุท ุงู„ูˆุฒู† ุฏู‡ุŒ ู„ุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉุŒ ุจุฎุชู„ู ุงู„ุฃุดูŠุงุกุŒ ุฃู†ุง ุนุงุฑู
2090
+
2091
+ 618
2092
+ 00:54:54,270 -->
2093
+
2094
+ 667
2095
+ 00:59:38,380 --> 00:59:44,640
2096
+ ุฏูƒุชูˆุฑ ููŠ ุงู„ุฌู‡ุงุฒ ู‡ุฐุงุŒ ุงุณู… ุงู„ู€ diameter ู„ู„ุฃู†ุงุจูŠุจ
2097
+
2098
+ 668
2099
+ 00:59:44,640 --> 00:59:49,060
2100
+ ูŠูƒูˆู†ู‡ุง ู†ูุณ ุงู„ุญุงุฌุฉ ูˆู„ุง ู…ุง ุจุชุฎุชู„ููุŸ ู…ุด ุนุงุฑู ุฃู†ุชูŽ ู‡ุชุตู…ู…ุŸ
2101
+
2102
+ 669
2103
+ 01:00:07,030 --> 01:00:10,730
2104
+ ุทุจุนุงู‹ ุงู„ู€ pressure ู‡ู†ุงุŒ ุทุจุนุงู‹ ุงู„ุงุฑุชูุงุน ู…ุด ู‡ูŠูƒูˆู† ูƒุจูŠุฑ
2105
+
2106
+ 670
2107
+ 01:00:10,730 --> 01:00:13,710
2108
+ ูุงู„ู€ pressure ููŠ ูƒู„ ู…ูƒุงู† ููŠ ุงู„ุฒูŠุช ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠุก
2109
+
2110
+ 671
2111
+ 01:00:13,710 --> 01:00:20,480
2112
+ ุชู‚ุฑูŠุจุงู‹ ูŠุนู†ูŠุŒ ุงู„ู€ head difference is not significant
2113
+
2114
+ 672
2115
+ 01:00:20,480 --> 01:00:25,260
2116
+ ูุงู„ู€ pressure ููŠ ูƒู„ ู…ูƒุงู† ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ู€ pressure ู‡ู†ุง
2117
+
2118
+ 673
2119
+ 01:00:25,260 --> 01:00:32,200
2120
+ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุงุŒ ุฅุฐุง ูƒุงู† ู‡ุฐุง ูกู ู ูช ุตุญูŠุญุŒ ู†ุนู…ุŒ ูุฃู†ุชูŽ
2121
+
2122
+ 674
2123
+ 01:00:32,200 --> 01:00:35,560
2124
+ ู‡ู†ุง ุจุชู‚ูŠุณ ุงู„ู€ pressureุŒ ุงู„ู€ pressure ุจูŠุณุงูˆูŠ force ุนู„ู‰
2125
+
2126
+ 675
2127
+ 01:00:35,560 --> 01:00:40,240
2128
+ area. ุฅู† ุนุฑูุช ุงู„ูˆุฒู† ุจุชุนุฑู ุงู„ู€ pressureุŒ ุงู„ู…ูุฑูˆุถ ุงู„ู€
2129
+
2130
+ 676
2131
+ 01:00:40,240 --> 01:00:44,320
2132
+ pressure ู‡ู†ุง ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุงุŒ ูุชุนู…ู„ู‡ calibration ู‡ูˆ ู‡ูˆ
2133
+
2134
+ 677
2135
+ 01:00:44,320 --> 01:00:48,560
2136
+ ู‡ุชูƒูˆู† ุงู„ู€ connection standardุŒ ุงู„ู€ thread ู„ู‡ standard
2137
+
2138
+ 678
2139
+ 01:00:48,560 --> 01:00:55,880
2140
+ ู„ุฃู† ุฃู†ุง ู‡ุฑูƒุจ gauge ููŠู‡
2141
+
2142
+ 679
2143
+ 01:00:55,880 --> 01:01:02,640
2144
+ ู„ู‡ standard connection ููŠู‡
2145
+
2146
+ 680
2147
+ 01:01:02,640 --> 01:01:07,340
2148
+ ุญุฏ ุนู†ุฏู‡ ุณุคุงู„ ุซุงู†ูŠ ููŠ ุญุณุงุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฑู†ุฌุŸ ู…ุด ุนุงุฑูู‡ุŒ ู†ุนู…
2149
+
2150
+ 681
2151
+ 01:01:07,340 --> 01:01:12,040
2152
+ ุฏู‡ ุฑูŠู†ุฌ ูƒู…ุงู† ููŠ ุงู„ุญุณุงุจุงุชุŒ ุชุนู…ู„ ุจุฏูƒ ุฅูŠู‡ุŸ ุฏู‡ ู…ุด ูŠุนู†ูŠ
2153
+
2154
+ 682
2155
+ 01:01:12,040 --> 01:01:12,920
2156
+ ู…ู‚ู„ูˆุจ ู…ู† ุฏู‡ ูู‚ุท
2157
+
2158
+ 683
2159
+ 01:01:15,810 --> 01:01:22,430
2160
+ ุฅุฐุงู‹ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ูˆุง ุฎูŠุงุฑ bonus ุจุณ
2161
+
2162
+ 684
2163
+ 01:01:22,430 --> 01:01:26,770
2164
+ ุจุฏูŠ ุฃุนุทูŠูƒู… ุฅูŠุด ู…ุนู†ู‰ ูƒู„ู…ุฉ bonusุŸ bonus ุฃู†ุง ู…ุง ุจู‚ูŠู…ุด
2165
+
2166
+ 685
2167
+ 01:01:26,770 --> 01:01:30,950
2168
+ ุนู„ู‰ ุงู„ุฌู‡ุฏ ุงู„ู…ุจุฐูˆู„ุŒ ุจู‚ูŠู…
2169
+
2170
+ 686
2171
+ 01:01:30,950 --> 01:01:35,790
2172
+ ุนู„ู‰ ุงู„ู†ุชุงุฆุฌุŒ ูŠุนู†ูŠ ู…ุง ุชู‚ูˆู„ูŠุด ูˆุงู„ู„ู‡ ุฃู†ุง ุนู…ู„ุช bonus ูˆุชุนุจุช
2173
+
2174
+ 687
2175
+ 01:01:35,790 --> 01:01:41,690
2176
+ ูˆุงู†ุชู‡ูƒุช ูˆู‚ุนุฏุช ุดู‡ุฑุŒ ุฃู†ุง ุจุฃู‡ุชู… ุจุงู„ู†ุชูŠุฌุฉุŒ ุชุจุตุฑูŠุด ุฃู†ุชูŽ
2177
+
2178
+ 688
2179
+ 01:01:41,690 --> 01:01:46,950
2180
+ ุจู†ุทู„ูˆู† ุจุฏูˆู† ุณุญุงุจุŒ ุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ู…ุชุญูƒูŠุด ูˆุงู„ู„ู‡
2181
+
2182
+ 689
2183
+ 01:01:46,950 --> 01:01:51,390
2184
+ ู…ุณูƒูŠู† ุงู„ุฎูŠุงุท ุชุนุจ ุนู„ูŠู‡ ูˆุฎุณุงุฑุฉุŒ ุจุฏูƒ ุชุดุชุฑูŠ ู…ู†ู‡ุŒ ู„ุฃ
2185
+
2186
+ 690
2187
+ 01:01:51,390 --> 01:01:56,510
2188
+ ุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ุจุชุดุชุฑูŠ ุบุณุงู„ุฉุŒ ุบุณุงู„ุฉ ููŠู‡ุง ุบุณูŠู„
2189
+
2190
+ 691
2191
+ 01:01:56,510 --> 01:02:01,630
2192
+ ูˆููŠู‡ุง... ูˆููŠู‡ุง ุชู†ุดูŠูุŒ ูˆู…ุชุญูƒูŠุด ุจุฏูŠ ุฃู†ุงุŒ ุจุฏูŠ ุฃุดุชุฑูŠ
2193
+
2194
+ 692
2195
+ 01:02:01,630 --> 01:02:05,030
2196
+ ุบุณุงู„ุฉ ุจุฏูŠ... ูŠุนู†ูŠ ู…ุด ู…ุดูƒู„ุฉ ู„ูˆ ู…ุด ููŠู‡ุง ุชู†ุดูŠูุŒ ุญุฑุงู…
2197
+
2198
+ 693
2199
+ 01:02:05,030 --> 01:02:10,270
2200
+ ุงู„ุดุฑูƒุฉ ุชุนุจุช ูˆุฎุณุงุฑุฉ ุนู„ู‰ ุดุบู„ู‡ู… ูˆ ุชุฏูุนู„ู‡ู… ูู„ูˆุณ ููŠู‡ุงุŒ
2201
+
2202
+ 694
2203
+ 01:02:10,270 --> 01:02:14,600
2204
+ ูˆุถุญูƒุชุŸ ุนุดุงู† ูƒุชูŠุฑุŒ ู„ุฃู† ุงู„ู†ุงุณ ุจูŠูู‡ู…ูˆุง ุงู„ู€ bonus ุฅู†ู‡ ุฃู†ุง
2205
+
2206
+ 695
2207
+ 01:02:14,600 --> 01:02:18,520
2208
+ ุจุจุฐู„ ุฌู‡ูˆุฏ ูˆุจุชุนุจ ูุจุฃุฎุฐ bonusุŒ ู„ุฃุŒ ุงู„ู€ bonus ุฏุฑุฌุฉ ุนู„ู‰
2209
+
2210
+ 696
2211
+ 01:02:18,520 --> 01:02:23,600
2212
+ ุณูุฑ ุฃูˆ ูˆุงุญุฏ ู…ุง ููŠุด ููŠ ุงู„ู…ุตู†ุนุŒ ูŠุนู†ูŠ ุฅู…ุง ุจุชุงุฎุฏ ุฏุฑุฌุงุช ุฃูˆ
2213
+
2214
+ 697
2215
+ 01:02:23,600 --> 01:02:36,880
2216
+ ุจุชุงุฎุฏุดุŒ ู†ุนู…ุŒ ูŠุฏุฎู„ ููŠ ุงู„ุฑุงุชุจุŒ ู†ุนู…ุŒ ุฅุชุญุงู„ ู†ุตููŠ ุจุณ ุฃู†ุง
2217
+
2218
+ 698
2219
+ 01:02:36,880 --> 01:02:37,560
2220
+ ุจุดุชุบู„ ุฅูŠู‡ ุฃุด
2221
+
2222
+ 699
2223
+ 01:02:40,600 --> 01:02:50,160
2224
+ ูŠุนู†ูŠ ู†ุชูŠุฌุฉุŒ ุญูƒู… ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉุŒ result oriented
2225
+
2226
+ 700
2227
+ 01:02:50,160 --> 01:02:58,460
2228
+ ุจู‚๏ฟฝ๏ฟฝุณ
2229
+
2230
+ 701
2231
+ 01:02:58,460 --> 01:03:01,720
2232
+ ุชุนุฑูุŒ ู…ุด ู‡ุฑูƒุจ ุนู„ูŠูƒ string gauge ูˆู‡ุดูˆู ุงู„ุชุบูŠุฑ ููŠ
2233
+
2234
+ 702
2235
+ 01:03:01,720 --> 01:03:02,900
2236
+ ุงู„ู…ู‚ุงู…ุŒ ูˆู…ุด ุนุงุฑูู‡
2237
+
2238
+ 703
2239
+ 01:03:09,120 --> 01:03:12,080
2240
+ ู…ุงุดูŠุŒ ูŠุนู†ูŠ ู…ุทู„ูˆุจ ู…ู†ู†ุง ู†ู‚ุณู… ุนู„ู‰ ุงู„ุฌู‡ุงุฒุŒ ุฅูŠู‡
2241
+
2242
+ 704
2243
+ 01:03:12,080 --> 01:03:14,160
2244
+ ุงู„ู„ูŠ... ุฅูŠู‡ ุงู„ู„ูŠ ุจุฏู‡... ุฅูŠู‡ ุงู„ู„ูŠ ุจุฏู‡... ุขู‡... ุฅูŠู‡
2245
+
2246
+ 705
2247
+ 01:03:14,160 --> 01:03:17,040
2248
+ ุงู„ู„ูŠ ุจุฏู‡ bonusุŒ ูŠุฃุฎุฏู‡ ูƒุงู…ู„ุงู‹ ูŠุง ุนุฒูŠุฒูŠุŒ ุขู‡ุŒ ุฅูŠู‡
2249
+
2250
+ 706
2251
+ 01:03:17,040 --> 01:03:21,580
2252
+ ุงู„ู„ูŠ ุจุฏู‡... ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ bonus ูŠุง ุนุฒูŠุฒูŠุŒ ู…ุด ุจุฏูƒ
2253
+
2254
+ 707
2255
+ 01:03:21,580 --> 01:03:24,500
2256
+ ููŠู‡... ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡... ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡... ู…ุด ุจุฏูƒ...
2257
+
2258
+ 708
2259
+ 01:03:24,500 --> 01:03:27,320
2260
+ ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ...
2261
+
2262
+ 709
2263
+ 01:03:27,320 --> 01:03:29,220
2264
+ ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ...
2265
+
2266
+ 710
2267
+ 01:03:29,220 --> 01:03:30,940
2268
+ ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ...
2269
+
2270
+ 711
2271
+ 01:03:30,940 --> 01:03:31,080
2272
+ ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ... ู…ุด ุจุฏูƒ...
2273
+
2274
+ 712
2275
+ 01:03:31,080 --> 01:03:31,140
2276
+ ู…ุด ุจุฏูƒ... ู…ุด ุจุฏ
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/DbaRNmxt2oo_postprocess.srt ADDED
@@ -0,0 +1,2848 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:07,860
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,860 --> 00:00:11,460
7
+ ูˆุจุฑูƒุงุชู‡ุŒ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ chapter four, major and
8
+
9
+ 3
10
+ 00:00:11,460 --> 00:00:16,620
11
+ octasiaุŒ ู‚ูŠุงุณ ุงูŠู‡ุŸ ุงู„ุถุบุทู†ุนู…ู„ ู…ุฑุงุฌุนุฉ ุณุฑูŠุนุฉ ุนู„ู‰
12
+
13
+ 4
14
+ 00:00:16,620 --> 00:00:21,000
15
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุนุฑูู†ุง ุงู„ pressure ู‡ูˆ ุงู„ู‚ูˆุฉ
16
+
17
+ 5
18
+ 00:00:21,000 --> 00:00:24,560
19
+ ุงู„ุนู…ูˆุฏูŠุฉ ุงู„ู…ุคุซุฑุฉ ุนู„ู‰ ุณุทุญ ูŠุนู†ูŠ ุงู„ู‚ูˆุฉ ุงู„ุนู…ูˆุฏูŠุฉ ู„ูƒู„
20
+
21
+ 6
22
+ 00:00:24,560 --> 00:00:28,740
23
+ ู…ุณุงุญุฉ ุงู„ูˆุญุฏุงุช ุงู„ุฑุฆูŠุณูŠุฉ ุงู„ bascule ูˆ ุงู„ pound per
24
+
25
+ 7
26
+ 00:00:28,740 --> 00:00:32,380
27
+ square inch ุนุฑูู†ุง ุงู„ gauge pressure ูˆ ุงู„ absolute
28
+
29
+ 8
30
+ 00:00:32,380 --> 00:00:36,420
31
+ pressure ุงู„ gauge pressure ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุถุบุท ุชุญุช
32
+
33
+ 9
34
+ 00:00:36,420 --> 00:00:39,400
35
+ ุงู„ุฏุฑุงุณุฉ ู†ุงู‚ุต ุถุบุท ุงู„ุฌูˆ
36
+
37
+ 10
38
+ 00:00:42,840 --> 00:00:46,500
39
+ ุงู„ุถุบุท ุงู„ุฌูˆุงู„ ุงู„ู…ุนูŠุงุฑูŠ ู…ูŠุฉ ูˆุงุญุฏ ุงู„ู ุชู„ุช ู…ูŠุฉ ุฎู…ุณูŠู†
40
+
41
+ 11
42
+ 00:00:46,500 --> 00:00:50,140
43
+ ุนุดูˆุงุฆูŠู† ุจุงุณูƒุงู„ ุงูˆ ุงุฑุจุน ุชุงุดุจูˆู† ุณุชุฉ ุชุณุนุฉ ุณุชุฉ pound
44
+
45
+ 12
46
+ 00:00:50,140 --> 00:00:54,160
47
+ per square inch absolute ุงูˆ ู…ุง ูŠุนุงุฏู„ ุทูˆู„ ุนู…ูˆุฏ ู…ู†
48
+
49
+ 13
50
+ 00:00:54,160 --> 00:00:59,340
51
+ ุงู„ุฐุฆุจู‚ ุณุจุนู…ูŠุฉ ูˆุณุชูŠู† ู…ูŠู„ูŠ ู…ุชุฑ ุดูู†ุง ุฌุฏูˆู„ ูˆุงุญุฏ ุงู„ู„ูŠ
52
+
53
+ 14
54
+ 00:00:59,340 --> 00:01:05,680
55
+ ู‡ูŠ ุงู„ุชุญูˆู„ุงุช ุจูŠู† ุงู„ุจุณูƒุงู„ ูˆุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู‚ูŠุงุณ
56
+
57
+ 15
58
+ 00:01:05,680 --> 00:01:10,230
59
+ ุงู„ุถุบุทุฃุนุฑูู†ุง ุงู„ aesthetic pressure ู‡ูˆ ุงู„ .. ุงู„ ..
60
+
61
+ 16
62
+ 00:01:10,230 --> 00:01:14,970
63
+ ุงู„ pressure filled by fluid at rest ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท
64
+
65
+ 17
66
+ 00:01:14,970 --> 00:01:18,690
67
+ ุงู„ู…ู‚ูŠุตู‡ ู„ู…ุง ู†ูƒูˆู† ุงู„ .. ุงู„ .. ุงู„ fluid ุงู„ู„ูŠ ู‡ูˆ ุณูˆุงุก
68
+
69
+ 18
70
+ 00:01:18,690 --> 00:01:23,050
71
+ ูƒุงู† ุณุงุฆู„ ุงูˆ ุบุงุฒ ููŠ ุญุงู„ ุงู„ุณูƒูˆู† ุงูˆ ุงุฐุง ุงู†ุง ูƒู†ุช ู…ุงุดูŠ
72
+
73
+ 19
74
+ 00:01:23,050 --> 00:01:26,270
75
+ ู…ุน ุงู„ fluid ุจู†ูุณ ุณุฑุนุชู‡ ุงุฐุง ููŠ ุงู†ุจูˆุจ ู…ุงุดูŠ ุจู†ูุณ
76
+
77
+ 20
78
+ 00:01:26,270 --> 00:01:31,990
79
+ ุณุฑุนุชู‡ ุจู‚ูŠุณ aesthetic pressure ุงู„ total pressure ุงู„
80
+
81
+ 21
82
+ 00:01:31,990 --> 00:01:36,400
83
+ ..ุฃูˆ ุงู„ dynamic pressure ู‡ูˆ ุงู„ pressure ุงู„ู†ุงุชุฌ ุนู†
84
+
85
+ 22
86
+ 00:01:36,400 --> 00:01:39,380
87
+ ุงู„ kinetic energy ู„ู„ fluid ุฅุฐุง ูƒุงู† ู…ุชุญุฑูƒ ู…ุนุทูˆู„
88
+
89
+ 23
90
+ 00:01:39,380 --> 00:01:44,460
91
+ ู„ู„ุฃู‚ู„ ู‡ูŠ ู†ุต Q ู†ุต Q ุณูˆุงุก ู†ุต ุฑูˆ ุจูŠ ุณูƒูˆูŠุฑ ูˆ ุงู„ total
92
+
93
+ 24
94
+ 00:01:44,460 --> 00:01:46,480
95
+ pressure ู‡ูˆ ุงู„ู…ุฌู…ูˆุน ุงู„ static pressure ูˆ ุงู„
96
+
97
+ 25
98
+ 00:01:46,480 --> 00:01:53,380
99
+ dynamic pressure ู‡ูˆ ุงู„ forceper unit area ุงู„ู„ูŠ ุงู†ุง
100
+
101
+ 26
102
+ 00:01:53,380 --> 00:01:55,860
103
+ ุจุญุณ ููŠู‡ ู„ู…ุง ุงู†ุง ุงุนู…ู„ ุงูŠ ู‚ุนู ู„ู„ fluid ูŠุนู†ูŠ ุงู„ fluid
104
+
105
+ 27
106
+ 00:01:55,860 --> 00:02:00,360
107
+ ู…ุชุญุฑูƒ ุจุนู…ู„ู‡ ุงูŠ ู‚ุนู ู‡ุฐุง ู‡ูˆ ุงู„ total pressure ูŠุฌุจ
108
+
109
+ 28
110
+ 00:02:00,360 --> 00:02:06,860
111
+ ู…ู†ู‡ static ูˆูŠุฌุจ ู…ู†ู‡ dynamic ู„ู‚ูŠุงุณ ุงู„ total
112
+
113
+ 29
114
+ 00:02:06,860 --> 00:02:11,100
115
+ pressure ูˆ ุงู„ static pressure ุจู†ุณุชุฎุฏู… ู…ุง ูŠุณู…ู‰ ุงู„
116
+
117
+ 30
118
+ 00:02:11,100 --> 00:02:14,560
119
+ P2T tube ุดุฑุญู†ุง ุงูŠุด ุทุฑูŠู‚ุฉ ุนู…ู„ู‡ุง
120
+
121
+ 31
122
+ 00:02:18,320 --> 00:02:20,800
123
+ ุงู„ู€ static ูˆ ุงู„ dynamic pressure ู„ุญุธุฉ ุงู„ static
124
+
125
+ 32
126
+ 00:02:20,800 --> 00:02:24,320
127
+ pressure ุนู†ุฏ ุญุงุฌุฉ ุงู„ูู„ูˆุฏ ุจูŠูƒูˆู† ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„ูู„ูˆุฏ
128
+
129
+ 33
130
+ 00:02:24,320 --> 00:02:29,040
131
+ ุนู†ุฏ ุฌุฏุฑุงู† ุจุชูƒูˆู† ุณุฑุนุฉ ุงู„ูู„ูˆุฏ zero ูˆ ุงู„ุชุงู„ูŠ ุฅุฐุง ุฃุฎุฏุช
132
+
133
+ 34
134
+ 00:02:29,040 --> 00:02:32,500
135
+ ุงู„ู†ุจูˆุจ ู…ู† ู‡ู†ุง ุจุงุฎุฏ ุงู„ static pressure ูุฅุฐุง ูƒู†ุง
136
+
137
+ 35
138
+ 00:02:32,500 --> 00:02:35,960
139
+ ุนู†ุฏู†ุง ู‡ู†ุง manometer ุงู„ head ู‡ุฐุง ูŠู…ุซู„ ุงู„ static
140
+
141
+ 36
142
+ 00:02:35,960 --> 00:02:39,720
143
+ pressure ู„ูƒู† ู„ูˆ ุญุทูŠุช ุงู„ู†ุจูˆุจ ู…ู† ุงู„ู†ุต ู‡ุฐุง ู‡ุชุนุทูŠู†ูŠ
144
+
145
+ 37
146
+ 00:02:39,720 --> 00:02:45,350
147
+ ุฅูŠุดุงู„ู€ total pressure ุงู„ู„ูŠ ู‡ูˆ static ุฒุงุฆุฏ dynamic
148
+
149
+ 38
150
+ 00:02:45,350 --> 00:02:47,730
151
+ ูู‡ุฐุง ูŠูƒูˆู† ุงู„ total pressure ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
152
+
153
+ 39
154
+ 00:02:47,730 --> 00:02:55,290
155
+ static pressure ุฒุงุฆุฏ dynamic pressure ุทุจุนุง
156
+
157
+ 40
158
+ 00:02:55,290 --> 00:03:02,090
159
+ ุนู…ู„ูŠุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุชุชุถู…ู† ุชุญูˆูŠู„ ุงู„ุถุบุท ู„ู‚ูˆุฉ ูˆู…ู† ุซู…
160
+
161
+ 41
162
+ 00:03:02,090 --> 00:03:07,470
163
+ ู‚ูŠุงุณ ุงู„ู‚ูˆุฉ ูŠุนู†ูŠ ุจุญูˆู„ ุงู„ุถุบุท ู„ force ูˆ ุจุนุฏูŠู† ุจู‚ูŠุณ ุงู„
164
+
165
+ 42
166
+ 00:03:07,470 --> 00:03:07,850
167
+ force
168
+
169
+ 43
170
+ 00:03:10,500 --> 00:03:15,660
171
+ ุงู„ force measurement ู…ู…ูƒู† ุชูƒูˆู† ู‚ูŠุงุณ ู…ุจุงุดุฑ ุงูˆ ู‚ูŠุงุณ
172
+
173
+ 44
174
+ 00:03:15,660 --> 00:03:20,220
175
+ ุบูŠุฑ ู…ุจุงุดุฑ ุงู„ direct measurement ุงู†ู‡ ุจู‚ุงุฑู† ุงู„ force
176
+
177
+ 45
178
+ 00:03:20,220 --> 00:03:27,380
179
+ ู…ุน weight of some object ุงูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ liquid ุงู„
180
+
181
+ 46
182
+ 00:03:27,380 --> 00:03:32,420
183
+ indirect force ุจุงู„ุณูŠุฑู†ุฏูŠ ุงู„ force ู…ู…ูƒู† ุชุนู…ู„ูŠ
184
+
185
+ 47
186
+ 00:03:32,420 --> 00:03:36,680
187
+ deflection ู…ู…ูƒู† ุงู‚ูŠุณ mechanical ุงู‚ูŠุณ ุงู„ deflection
188
+
189
+ 48
190
+ 00:03:36,680 --> 00:03:42,000
191
+ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูƒูŠุฉ mechanicalุฃูˆ ุงู„ deflection ุฃุฑูƒุจ
192
+
193
+ 49
194
+ 00:03:42,000 --> 00:03:47,450
195
+ stringageุŒ stringage ูŠุนู†ูŠ resistanceุงู„ู‚ูŠู…ุฉ ุงู„
196
+
197
+ 50
198
+ 00:03:47,450 --> 00:03:53,090
199
+ resistance ุชุชุบูŠุฑ ู…ุน ุงู„ deflection ูุจุญุงูˆู„ ู„ signal
200
+
201
+ 51
202
+ 00:03:53,090 --> 00:03:57,090
203
+ electrical signal that is measurable ู…ู† ุฎู„ุงู„ ู…ุง
204
+
205
+ 52
206
+ 00:03:57,090 --> 00:04:00,190
207
+ ุนุฑูุช ุงู„ู„ูŠ ู„ู‚ู‰ ุจูŠู† ุงู„ุชุบูŠุฑ ููŠ ุงู„ electrical property
208
+
209
+ 53
210
+ 00:04:00,190 --> 00:04:03,390
211
+ ู…ุน ุงู„ deflection ูˆุงู„ deflection ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
212
+
213
+ 54
214
+ 00:04:03,390 --> 00:04:06,270
215
+ pressure ุงูˆ ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„ force ุงู„ force ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
216
+
217
+ 55
218
+ 00:04:06,270 --> 00:04:09,330
219
+ pressure ู…ู…ูƒู† ุงุญุณุจ ุงูˆ ุงู‚ูŠุณ ุงู„ุถุบุท
220
+
221
+ 56
222
+ 00:04:13,550 --> 00:04:17,610
223
+ ุญูƒูŠ ู‡ู†ุง ุงู„ู…ุฑูู‚ุฉ ุนู„ู‰ ุงู„ dead weight center ุงู„ dead
224
+
225
+ 57
226
+ 00:04:17,610 --> 00:04:23,750
227
+ weight center ุจูŠูƒูˆู† ุนู†ุฏู‰ .. ุนู†ุฏู‰ ู‡ู†ุง ููŠู‡ fluid ุฒูŠุช
228
+
229
+ 58
230
+ 00:04:23,750 --> 00:04:30,190
231
+ ูˆ ุจูŠูƒูˆู† ุนู†ุฏู‰ ู‡ู†ุง weight ูˆ ุนู†ุฏู‰ piston ุงู„ weight
232
+
233
+ 59
234
+ 00:04:30,190 --> 00:04:33,190
235
+ ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ุนู„ู‰ ู…ุณุงุญุฉ ุงู„ piston
236
+
237
+ 60
238
+ 00:04:33,190 --> 00:04:38,110
239
+ ุชุนุทูŠู†ูŠุงุด ุถุบุท pressure ู„ุฃู† ู‡ู†ุง ุงู„ุฌู‡ุงุฒ ุงู„ู„ู‰ ุงู†ุง ุจุฏูŠ
240
+
241
+ 61
242
+ 00:04:38,110 --> 00:04:42,140
243
+ ุงุนู…ู„ู‡ calibration ุงูˆ ู…ุนุงูŠุฑุฉู‡ูˆ ุฌู‡ุงุฒ ุจุบุถ ุงู„ู†ุธุฑ ุงูŠุด
244
+
245
+ 62
246
+ 00:04:42,140 --> 00:04:47,240
247
+ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุงูˆ ุทุฑูŠู‚ุฉ ู‚ูŠุงุณู‡ ู‡ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ
248
+
249
+ 63
250
+ 00:04:47,240 --> 00:04:56,420
251
+ ุงูŠุด ู„ู„ู…ู‚ุงุฑู†ุฉ ุจุนู…ู„ calibration ุงู„
252
+
253
+ 64
254
+ 00:04:56,420 --> 00:05:00,640
255
+ manometer ุงู„ manometer ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‡ูˆ device ู„ู‚ูŠุงุณ
256
+
257
+ 65
258
+ 00:05:00,640 --> 00:05:05,120
259
+ ุงู„ุถุบุท ุงู„ุงู† ุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู†ุจูˆุจ ุนู„ู‰ ุดูƒู„ ุญุฑููŠู‡
260
+
261
+ 66
262
+ 00:05:07,600 --> 00:05:12,020
263
+ ุนู†ุฏูŠ pressure to be measured ู‡ูŠ ู…ุฏุฎู„ ุงู„ุถุบุท ุงู„ุบุงุฒ
264
+
265
+ 67
266
+ 00:05:12,020 --> 00:05:19,080
267
+ ุงู„ู„ู‰ ุจุฏู‡ ุงู‚ูŠุณ ุถุบุทู‡ ู„ุงู† ู„ู…ุง ุชูƒูˆู† ุงู„ุถุบุท ู‡ูŠู†ุฒู„ ุงู„
268
+
269
+ 68
270
+ 00:05:19,080 --> 00:05:25,420
271
+ liquid ูˆ ูŠุทู„ุน ู„ุฃุนู„ู‰ ุงู„ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠู…ุซู„ ุงู„ุถุบุท
272
+
273
+ 69
274
+ 00:05:25,420 --> 00:05:30,470
275
+ ุงู„ gauge pressureุงู„ู„ูŠ ู‡ูˆ ุฌุงู…ุนุฉ ููŠ H ููŠ H ุงูˆ ุฑูˆู‡ ุฌูŠ
276
+
277
+ 70
278
+ 00:05:30,470 --> 00:05:36,390
279
+ ููŠ H ุงู„ุฑูˆู‡ ุงู„ุฌูŠ ุงูŠ ุงู„ุฑูˆู‡ ุงู„ู„ูŠ ู‡ูŠ ูƒุซุงูุฉ ุงู„ุณุงุฆู„ ุงู„ุฌูŠ
280
+
281
+ 71
282
+ 00:05:36,390 --> 00:05:42,450
283
+ ู‡ูŠ ุงู„ gravity ุงู„ู„ูŠ ู‡ูŠ 9.806 ูˆ ุงู„ H ุงุฑุชูุงุน ุงู„ุนู…ูˆุฏ
284
+
285
+ 72
286
+ 00:05:42,450 --> 00:05:46,230
287
+ ุนู…ูˆุฏูŠ ุงู„ liquidุงู„ู€ typical liquid ุงู„ู…ุณุชุฎุฏู… ุนุงุฏุฉ
288
+
289
+ 73
290
+ 00:05:46,230 --> 00:05:50,610
291
+ ุงู„ุฒุฆุจู‚ ู„ุฃู† ูƒุซุงูุฉ ุงู„ุฒุฆุจู‚ ุญูˆุงู„ูŠ ุฃุฑุจุน ุชุงุดุฑ ุถุนู ูƒุซุงูุฉ
292
+
293
+ 74
294
+ 00:05:50,610 --> 00:05:56,150
295
+ ุงู„ู…ูŠู‡ ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ุฑุชูุงุน ุงู„ H ูƒุชูŠุฑ
296
+
297
+ 75
298
+ 00:05:56,150 --> 00:05:59,470
299
+ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„ู…ูŠู‡ ุฑุชูุงุน ุนู…ูˆุฏ ุงู„ู…ูŠู‡ ุฃุฑุจุน ุชุงุดุฑ ุถุนู
300
+
301
+ 76
302
+ 00:06:00,480 --> 00:06:05,180
303
+ ุงู„ุงู† ู„ูˆ ุงู†ุง ุจุฏูŠ ุงู‚ูŠุต ุถุบุท ู…ู†ุฎูุถ ุจุญุท liquid ุฎููŠู
304
+
305
+ 77
306
+ 00:06:05,180 --> 00:06:10,520
307
+ ูƒุชุงูุชู‡ ู‚ู„ูŠู„ ุนุดุงู† ุชุดุชุฑ ุฃุตุบุฑ ุชุบูŠูŠุฑ ููŠ ุงู„ pressure
308
+
309
+ 78
310
+ 00:06:10,520 --> 00:06:19,920
311
+ ู„ูƒู† ู„ูˆ ูƒุงู† ุถุบุท ู…ุฑุชูุน ููุถู„ ุงุณุชุฎุฏู… ุฒุฆุจู‚ ุทุจุนุง
312
+
313
+ 79
314
+ 00:06:19,920 --> 00:06:26,120
315
+ ุงู„ manometer ุงู„ู„ูŠ ู…ู† ู…ุฒุงูŠุงู‡ ุงู† ู‡ูˆ ุณู‡ู„ ูˆุฑุฎูŠุต ูˆ
316
+
317
+ 80
318
+ 00:06:26,120 --> 00:06:28,940
319
+ ุชู‚ุฑูŠุจุง ุงู„ error ููŠู‡ ู…ู†ุฎูุถ
320
+
321
+ 81
322
+ 00:06:31,330 --> 00:06:35,670
323
+ ุงู„ disadvantage ุงู„ู„ู‰ ู‡ูˆ poor dynamic response ุฅุฐุง
324
+
325
+ 82
326
+ 00:06:35,670 --> 00:06:41,370
327
+ ูƒุงู† ุถุบุท ุงู„ู…ุตุฏุฑ ุจุชุบูŠุฑ ุจุดูƒู„ ุณุฑูŠุน ุงู„ุงุณุชุฌุงุจุฉ ุจุชุงุนุชู‡
328
+
329
+ 83
330
+ 00:06:41,370 --> 00:06:47,970
331
+ ุจุชูƒูˆู†ุด ุณุฑูŠุนุฉ ุทุจุนุง ูˆ not practical ู„ู‚ูŠุงุณ ุถุบูˆุท
332
+
333
+ 84
334
+ 00:06:47,970 --> 00:06:52,830
335
+ ู…ุฑุชูุนุฉ ุฅุฐุง ูƒุงู† ุถุบุท ุฃุนู„ู‰ ู…ู† 200 ูƒูŠู„ูˆ ุจุงุณูƒุงู„ ูŠุนู†ูŠ ู…ุด
336
+
337
+ 85
338
+ 00:06:52,830 --> 00:06:58,290
339
+ ู…ู†ุงุณุจ ุจุฏูƒ ุชุดูˆู ุฌู‡ุงุฒ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉุงู„ุชุนุฑูู†ุง ุนู„ู‰ ุงู„
340
+
341
+ 86
342
+ 00:06:58,290 --> 00:07:00,910
343
+ will type manometer will type ุจูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง
344
+
345
+ 87
346
+ 00:07:00,910 --> 00:07:05,610
347
+ container ููŠู‡ liquid ู‡ุฐุง ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุณู‡
348
+
349
+ 88
350
+ 00:07:05,610 --> 00:07:10,490
351
+ ู„ู…ุง ุงุถุบุท ู‡ู†ุง ุจุฑุชูุน ุงู„ุนู…ูˆุฏ ุทุจุนุง ุงู†ุง ุนู†ุฏ ุงู„
352
+
353
+ 89
354
+ 00:07:10,490 --> 00:07:15,350
355
+ reference ุงู„ reference ุงูŠู‡ ู‡ุงูŠ ุงู„ reference ุซุงุจุช
356
+
357
+ 90
358
+ 00:07:15,350 --> 00:07:18,710
359
+ ู„ูƒู† ู„ุงู† ุงู„ cross section ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
360
+
361
+ 91
362
+ 00:07:18,710 --> 00:07:25,390
363
+ ุงุนู„ู‰ ุจูƒุชูŠุฑ ู…ู† ู‡ุฐู‡ุงู„ู€ X ู‡ุฐู‡ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง
364
+
365
+ 92
366
+ 00:07:25,390 --> 00:07:35,190
367
+ insignificant ู„ูŠุณุช ุฐุงุช ู‚ูŠู…ุฉ ุทูŠุจ
368
+
369
+ 93
370
+ 00:07:35,190 --> 00:07:41,370
371
+ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง ููŠ ู†ูˆุน ุชุงู†ูŠ ุงุณู…ู‡ burden tube gauge
372
+
373
+ 94
374
+ 00:07:41,370 --> 00:07:46,350
375
+ burden tube gauge ุงู„ burden tube gauge ุจูŠุดุชุบู„
376
+
377
+ 95
378
+ 00:07:46,350 --> 00:07:52,930
379
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ูŠุฉ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู‡ุงุฏุฆ ุงู†ุจูˆุจู…ุณูƒุฑุฉ
380
+
381
+ 96
382
+ 00:07:52,930 --> 00:07:57,370
383
+ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุต ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ุงู„ุบุงุฒ ุงูˆ
384
+
385
+ 97
386
+ 00:07:57,370 --> 00:08:04,250
387
+ ุงู„ liquid ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ู‡ุงุฏ ุงู„ุงู†ุจูˆุจ ู…ุด ุฏุงุฆุฑุฉ ูƒุงู…ู„ุฉ
388
+
389
+ 98
390
+ 00:08:04,250 --> 00:08:08,050
391
+ ุงู‚ู„ ู…ู† ุชู„ุงุช ู…ุฆูˆ ุณุชูŠู† ุฏุฑุฌุฉ ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ุง ุจูŠุถุงูˆูŠ
392
+
393
+ 99
394
+ 00:08:08,050 --> 00:08:12,750
395
+ ุงู„ู…ู‚ุทุน ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ ุนู…ู„ุช ู…ู‚ุทุน ู…ุณุชุนุฑุถ ุงู„ู…ู‚ุทุน ุจูŠุถุงูˆูŠ
396
+
397
+ 100
398
+ 00:08:12,750 --> 00:08:19,950
399
+ ู„ุงู† ู„ูˆ ู†ุฎุด fluid ู…ุถุบูˆุท ูŠุนู†ูŠ ุงุฐุง ุดูƒู„ ุจูŠุถุงูˆูŠ ู‡ุญุงูˆู„
400
+
401
+ 101
402
+ 00:08:19,950 --> 00:08:26,560
403
+ ุงูŠุดูŠุชุฏูˆุฑ ูŠุตูŠุฑ ูŠุงุด ู…ู‚ุทุน ุฏุงุฆุฑ ู†ุชูŠุฌุฉ ุงู„ deflection
404
+
405
+ 102
406
+ 00:08:26,560 --> 00:08:35,500
407
+ ุงู„ู„ู‰ ุชุชุญูˆู„ ู…ู† ู…ู‚ุทุน ุจูŠุถุงูˆ ู„ู…ู‚ุทุน ุฏุงุฆุฑ ุจูŠุตูŠุฑ ู„ู‡ ุญุฑูƒุฉ
408
+
409
+ 103
410
+ 00:08:35,500 --> 00:08:40,180
411
+ ูŠุตูŠุฑ ู‡ุฐู‡ ุจูŠุตูŠุฑ
412
+
413
+ 104
414
+ 00:08:40,180 --> 00:08:45,040
415
+ ุฒูŠ ู‡ูŠูƒ ุจุชุญุฑูƒ ุจูŠุญุงูˆู„
416
+
417
+ 105
418
+ 00:08:45,040 --> 00:08:51,810
419
+ ูŠุงุด ูŠุชุญุฑูƒ ุงู„ุขู† ุงู„ุทุฑู ุจุชุงุนู‡ ู…ูˆุตูˆู„ ุจ link ู‡ุฐู‡ linkูˆ
420
+
421
+ 106
422
+ 00:08:51,810 --> 00:08:54,930
423
+ ููŠุนู†ุฏูŠ ูƒู…ุงู† link ุชุงู†ูŠุฉ ู‡ุฐุง ุงู„ู…ุญูˆุฑ ุฅูŠู‡ ุฃุดู…ุงู„ู‡ ู‡ุฐุง
424
+
425
+ 107
426
+ 00:08:54,930 --> 00:08:58,590
427
+ ู…ุญูˆุฑ ุซุงุจุช
428
+
429
+ 108
430
+ 00:08:58,590 --> 00:09:04,490
431
+ ู‡ุฐุง ู‡ุญุงูˆู„ ูŠุชุญุฑูƒ ู„ู…ุง ูŠุชุญุฑูƒ ุงู„ุฏุฑุงุน ู‡ุฐุง ุจูŠุณุญุจ ูู‡ุฐุง
432
+
433
+ 109
434
+ 00:09:04,490 --> 00:09:12,490
435
+ ุฃุดู…ุงู„ู‡ ู‡ูŠู„ู ู„ู…ุง ู†ู„ู ุงู„ุชุฑุณ ู‡ุฐุง ูŠุชุญุฑูƒ ูู‡ุฐุง ุจูŠุชุญุฑูƒ
436
+
437
+ 110
438
+ 00:09:12,490 --> 00:09:18,690
439
+ ู„ูŠุด ู…ุด ุงู„ู„ูŠ ุฃุนู„ู‰ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ุงู„ pressure ู‡ุฐุง
440
+
441
+ 111
442
+ 00:09:18,690 --> 00:09:19,470
443
+ ุงุณู…ู‡ ุงู„ boredom
444
+
445
+ 112
446
+ 00:09:24,550 --> 00:09:29,630
447
+ ุฌูŠุฌ ูููƒุฑุฉ ู‡ูˆ ุงู†ุง ุจูƒูˆู† ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ ุจูŠุถุงูˆูŠ ู†ุชูŠุฌุฉ ุงู„
448
+
449
+ 113
450
+ 00:09:29,630 --> 00:09:33,610
451
+ pressure ุฌูˆู‡ ุจูŠุญูˆู„ pressure ูŠุญูˆู„ ู„ุฏุงุฆุฑุฉ ุนุดุงู† ุชุญูˆู„
452
+
453
+ 114
454
+ 00:09:33,610 --> 00:09:37,150
455
+ ู„ุฏุงุฆุฑุฉ ุจูŠุตูŠุฑ ุจุชุชุญุฑูƒ ุงู„ุทุฑู ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ู…ุตูˆู„ ุจุงู„
456
+
457
+ 115
458
+ 00:09:37,150 --> 00:09:40,610
459
+ link ุงู„ link ู…ุตูˆู„ ุจุงู„ link ู‡ุฐุง ุณุงู…ุนู‡ ุงู„ crank
460
+
461
+ 116
462
+ 00:09:40,610 --> 00:09:47,330
463
+ ุทุฑูู‡ุง ุน ุดูƒู„ ุชุฑุณ ูˆุฌู‡ู‡ุง ู…ุน ุชุฑุณ ูู‡ุฐุง ู‡ูŠุฏูˆุฑ ุจุฏูˆุฑ ูุจุทู„ุน
464
+
465
+ 117
466
+ 00:09:47,330 --> 00:09:56,540
467
+ ู…ุนุงู„ .. ุงู„ุชุฑุณ ุงู„ู„ูŠ ุตุบูŠุฑ ุจุฏูˆุฑ ุงู„ุชุฑุณ .. ู†ุนู… ุงู‡
468
+
469
+ 118
470
+ 00:09:56,540 --> 00:10:04,540
471
+ ูŠุนู†ูŠ ุงู†ุช ุฌูŠุจ ุจู„ูˆู† ุฌูŠุจ ุจู„ูˆู† ุงู„ุทูˆูŠู„ ุงู„ุฑููŠุน ู…ุด ุจู„ูˆู†
472
+
473
+ 119
474
+ 00:10:04,540 --> 00:10:10,920
475
+ ุชู‚ู„ูŠุฏูŠ ู‡ูˆ ูุงุถูŠ ู…ููŠุด ููŠู‡ ู‡ูˆุงูŠุด ุจูŠูƒูˆู† ุจูŠูƒูˆู† ุงู„ู…ู‚ุทุนุฉ
476
+
477
+ 120
478
+ 00:10:10,920 --> 00:10:16,340
479
+ ุชุนุงู„ู‰ ุจูŠูƒูˆู† ู‡ุงูŠ ุจู„ูˆู† ู…ุณุงุญ ู…ู‚ู„ู‚
480
+
481
+ 121
482
+ 00:10:16,340 --> 00:10:17,620
483
+ ู‡ูˆุŒ ู…ุธุจูˆุทุŸ
484
+
485
+ 122
486
+ 00:10:21,050 --> 00:10:24,670
487
+ ุทุจุนุง ู‡ุชุณู…ุนู‡ุง ูƒุฃู†ุง ู…ูƒุจุฑู‡ุง ุดูˆูŠุฉ ูŠุนู†ูŠ ูุนู„ูŠุง ุงู„ู…ู‚ุทุน
488
+
489
+ 123
490
+ 00:10:24,670 --> 00:10:30,650
491
+ ุชุงุนู‡ ุจูŠูƒูˆู† ุฅูŠุด ู…ุณุชุทูŠู„ .. ู…ุณุชุทูŠู„ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุชู†ูู‚ู‡
492
+
493
+ 124
494
+ 00:10:30,650 --> 00:10:38,190
495
+ ุจูŠุจู‚ู‰ ู…ุณุชุทูŠู„ ู„ุฃ
496
+
497
+ 125
498
+ 00:10:38,190 --> 00:10:44,350
499
+ ุจุชุบูŠุฑุด ู‡ุฐุง ุจูŠูƒูˆู† ู…ุนุฏู†ู‰ .. metal ุจุณ ููŠู‡ elasticity
500
+
501
+ 126
502
+ 00:10:44,350 --> 00:10:51,870
503
+ .. ููŠู‡ elasticity ุงู„ุขู† ุงู„ุดูƒู„ ุจูŠุฏุงูˆูŠุฃุญุณู† ุดูƒู„ ุนุดุงู†
504
+
505
+ 127
506
+ 00:10:51,870 --> 00:10:57,870
507
+ ูŠูˆุฒุน ุงู„ุถุบุท ุจูŠุญุงูˆู„ ูŠุชุฏูˆุฑ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุฏูˆูŠุฑ ุจูŠุตูŠุฑ
508
+
509
+ 128
510
+ 00:10:57,870 --> 00:11:01,850
511
+ ู„ู‡ ุฅูŠู‡ ุนุดุงู† ุญุฑูƒุฉ ู„ุฅู† ู…ู† ู‡ู†ุง fixed ูˆ ู…ู† ู‡ู†ุง fixed
512
+
513
+ 129
514
+ 00:11:01,850 --> 00:11:08,290
515
+ ู…ุงุจู…ุณูƒูˆุง ูƒูˆูŠุณ ู‡ู†ุง ููƒู„ ู…ุง ู†ุจุนุฏ ูƒู„ ู…ุง ูŠุญุงูˆู„ ูŠุชุญุฑูƒ
516
+
517
+ 130
518
+ 00:11:08,290 --> 00:11:15,590
519
+ ูุงู„ุญุฑูƒุฉ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ูู‡ูˆ ูุนู„ูŠุง ู…ุชุญุฑูƒุช ู„ุฃ ูุนู„ูŠุง
520
+
521
+ 131
522
+ 00:11:15,590 --> 00:11:20,270
523
+ ุงู„ุทุฑู ู‡ุฐุง ู…ุชุญุฑูƒู…ู† ู‡ู†ุง ุซุงุจุช ูŠุนู†ูŠ ุงู†ุช ุนู†ุฏูƒ ู‡ู†ุง ุดุงูŠู
524
+
525
+ 132
526
+ 00:11:20,270 --> 00:11:24,650
527
+ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ูˆุฑุง ุงู„ู…ุคุดุฑ ูˆุฑุง ุงู„ู…ุคุดุฑ ููŠู‡
528
+
529
+ 133
530
+ 00:11:24,650 --> 00:11:30,350
531
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ู‡ุฐู‡ ูˆุฑุง ุงู„ู…ุคุดุฑ ุดุงูŠู ูƒูŠู ู‡ุฐู‡ ู…ุจุณูˆุทุฉ ู…ู†
532
+
533
+ 134
534
+ 00:11:30,350 --> 00:11:35,170
535
+ ู‡ู†ุง ูˆู‡ู†ุง ุนู†ุฏูƒ ู…ุซู„ุง ุงู†ุง ุจู‚ูŠุณ ููŠ ู‡ุฐู‡ ุงู†ุจูˆุจ ุงู†ุง ุจูƒูˆู†
536
+
537
+ 135
538
+ 00:11:35,170 --> 00:11:46,070
539
+ ุนุงู…ู„ ุญุฑู T ู‡ู†ุง ูˆู…ุณู†ู†ุฉ ู‡ุฐู‡ ุงู†ุจูˆุจ ุนู†ุฏู‡ ู…ุธุงุฑ
540
+
541
+ 136
542
+ 00:11:46,070 --> 00:11:46,890
543
+ ุฏู‚ุช ุจุฏุฎู„ ู…ู† ู‡ู†ุง
544
+
545
+ 137
546
+ 00:11:50,350 --> 00:11:56,070
547
+ ูุงู„ุถุบุท ุงุฑุชูุน ู‡ุงุฏ ุจุชุชุญุฑูƒ ูˆุฑุงู‡ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ู‰ ู‡ู‰
548
+
549
+ 138
550
+ 00:11:56,070 --> 00:12:02,770
551
+ ุงู„ู„ู‰ ู‡ุงุฏู‰ ู‡ู†ุนู…ู„ู‡ุง ุงู†ุช ู…ุด ุดุงูŠูู‡ุง ูˆููŠ ุนู†ุฏูƒ ุชุฑุณ ู‡ู†ุง
552
+
553
+ 139
554
+ 00:12:02,770 --> 00:12:11,870
555
+ ูˆููŠ ุนู†ุฏูƒ ุงู„ู„ู‰ ู‡ูˆ ุชุฑุณ ุงุด ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ู‡ุงุฏ ูŠุชุญุงูˆู„ ุชุญุฑูƒ
556
+
557
+ 140
558
+ 00:12:11,870 --> 00:12:17,190
559
+ ุจุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุญุงูˆู„ ุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุดุฏ ู‡ุฐุง ุจูŠุญุงูˆู„ ุชุญุฑูƒ
560
+
561
+ 141
562
+ 00:12:17,190 --> 00:12:21,730
563
+ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ู‡ุฐุง ุจูŠุฏูˆุฑ ุฅูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑ ุงู„ุณุงุนุฉ
564
+
565
+ 142
566
+ 00:12:21,730 --> 00:12:26,450
567
+ counter clockwise ู‡ุฐุง ุจูŠุจู‚ู‰ ู†ุชูˆุญุฏ ูˆุฑู‚ ุฅูŠุดุŸ ุนูƒุณู‡
568
+
569
+ 143
570
+ 00:12:26,450 --> 00:12:32,110
571
+ ุฅุฐุง ู‡ุฐุง counter ู‡ุฐุง clockwise clockwise ุจุฑูุน ุฅูŠุด
572
+
573
+ 144
574
+ 00:12:32,110 --> 00:12:38,830
575
+ ุงู„ู…ุคุดุฑุŸ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ู†ุนู…
576
+
577
+ 145
578
+ 00:12:46,880 --> 00:12:50,820
579
+ ุฃูŠูˆุฉ ุจูŠุนุทูŠ ุถุบุท ุฒูŠุงุฏุฉ ุนู„ู‰ ุงู„ liquid ู„ุฃ ุฏู‡ liquid
580
+
581
+ 146
582
+ 00:12:50,820 --> 00:12:55,300
583
+ ู†ุงุดูŠ ุทุจุนุง ู‡ูˆ ุงู„ physical constraints ุงู„ู„ูŠ ุจุญูƒูŠู‡
584
+
585
+ 147
586
+ 00:12:55,300 --> 00:12:58,140
587
+ ุตุญูŠุญ physical constraints ุฃู†ุง ู…ุงู†ุง ุฃู‚ูŠุต ุถุบุท ูู…ุชุฑุง
588
+
589
+ 148
590
+ 00:12:58,140 --> 00:13:03,200
591
+ ุฃูŠู‡ ูƒูŠู ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท ุงู„ุญู‚ูŠู‚ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท
592
+
593
+ 149
594
+ 00:13:03,200 --> 00:13:07,580
595
+ ุงู„ุญู‚ูŠู‚ูŠ ุจุณ ุงู„ุชุฃุซูŠุฑ ุจูŠูƒูˆู† insignificant ูˆูƒู„
596
+
597
+ 150
598
+ 00:13:07,580 --> 00:13:11,040
599
+ research ุจูŠุตูŠุฑ ุนุดุงู† ุชุชู‚ู„ู„ ู…ู† ุงู„ู…ุคุซุฑุงุช ู‡ุฐู‡ ุงูˆ
600
+
601
+ 151
602
+ 00:13:11,040 --> 00:13:16,850
603
+ ู…ุงุชุชู‚ู„ู„ุด ุงูˆ ุชุฎุฏู‡ุง ููŠ ุงู„ุงุนุชุจุงุฑ ููŠ ุงู„ designูŠุนู†ูŠ
604
+
605
+ 152
606
+ 00:13:16,850 --> 00:13:23,090
607
+ ู…ุซู„ุง ุงู„ู‚ุฑุงูŠุฉ ู…ุซู„ุง ุชุทู„ุน ู…ุนุงูƒ ู…ูŠุฉ
608
+
609
+ 153
610
+ 00:13:23,090 --> 00:13:30,570
611
+ ู…ุซู„ุง ุจุณ ู‡ูŠ ุงู„ุตุญ ู…ุซู„ุง ุชุณุนูŠู† ู…ุซู„ุง ุฃูˆ ู…ูŠุฉ ูˆ ุนุดุฑุฉ ู‡ุฐุง
612
+
613
+ 154
614
+ 00:13:30,570 --> 00:13:35,270
615
+ ุดุบู„ ุชุงู†ูŠ ุงู„ู„ูŠ ุจุชุญูƒูŠ ุงู„ุชูุงุตูŠู„ ุญุงู„ูŠุง ุฃูƒูŠุฏ ุจุชุฃุซุฑ
616
+
617
+ 155
618
+ 00:13:44,310 --> 00:13:49,070
619
+ ุทุจ ุงุญู†ุง ู‡ู†ุง ู…ุด ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ design how ุช design ุงู„
620
+
621
+ 156
622
+ 00:13:49,070 --> 00:13:53,470
623
+ gauge ู…ุด ู…ูˆุถูˆุน ุงู„ course ู‡ุฐุง ู…ูˆุถูˆุน ุงูŠุด courseุŸ
624
+
625
+ 157
626
+ 00:13:53,470 --> 00:13:57,450
627
+ ู…ูŠุฌุฑู…ุช .. ู…ู…ูƒู† ุชุนู…ู„ design ู„ู„ gaugeุŒ ู…ู…ูƒู† ุชุฎุชุงุฑ ุงู„
628
+
629
+ 158
630
+ 00:13:57,450 --> 00:14:03,090
631
+ section ุตุญุŒ ุงู„ุฒูˆุงุฏ ุจุชุงุนุชู‡ ุตุญุŒ ุงู„ุดูƒู„ ุงู„ุจูŠุถุงูˆูŠ ุตุญุŒ
632
+
633
+ 159
634
+ 00:14:03,090 --> 00:14:07,770
635
+ ุงู„ุณู…ุงูƒุฉ ุจุชุงุนุชู‡ุงู„ material ุงู„ links ุงู„ snappy
636
+
637
+ 160
638
+ 00:14:07,770 --> 00:14:11,370
639
+ ู„ุชูุงุตูŠู„ ุงู„ module ุนุฏุฏู‡ุง ูˆ ุงู„ู‚ุทุฑ ูƒู„ู‡ุง ุชูุงุตูŠู„ ู‡ุฐุง
640
+
641
+ 161
642
+ 00:14:11,370 --> 00:14:14,850
643
+ ุงุญู†ุง .. ุงุญู†ุง ููŠ ุงู„ูƒูˆุฑุณุฉ ุฏู‡ ุงุญู†ุง ู…ุงุจู†ุนู…ู„ุด design ู„
644
+
645
+ 162
646
+ 00:14:14,850 --> 00:14:18,930
647
+ gauges ุงูˆ ู„ุฃุฌุฒุฉ ู‚ูŠุงุณูŠุฉ ุงุญู†ุง ุจู†ุดูˆู ูƒูŠู ู†ุณุชุฎุฏู…
648
+
649
+ 163
650
+ 00:14:18,930 --> 00:14:23,550
651
+ ุงู„ุฃุฌุฒุฉ ู‡ุฐู‡ ูˆ ูƒูŠู ู†ุดูˆู ู…ุฏู‰ ุฏู‚ุชู‡ุง ูˆ error analysis
652
+
653
+ 164
654
+ 00:14:23,550 --> 00:14:27,750
655
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ error analysis ุฏุฑุณู†ุงู‡ chapter ุงู„ุณุงุจู‚
656
+
657
+ 165
658
+ 00:14:27,750 --> 00:14:32,430
659
+ chapter ุชู„ุงุชุฉ ุงุญู†ุง ุงู„ูƒูˆุฑุณูŠุฉ ุฏู‡ ู…ุชุฎุตุต ุจูŠุงุด ุจุนู„ู…
660
+
661
+ 166
662
+ 00:14:32,430 --> 00:14:35,990
663
+ ุงู„ู‚ูŠุงุณุงุช ู†ูุณู‡ู…ุด ุจุงู„design ุทุจุนุง ู‡ู†ูุถู„ู‡ ููŠ ุงู„ุขุฎุฑ
664
+
665
+ 167
666
+ 00:14:35,990 --> 00:14:43,850
667
+ product ู…ู…ูƒู† ุชุนู…ู„ู‡ design ูˆูŠู„ู‡ ุญุณุงุจุงุช ู…ุนู†ุงุชู‡
668
+
669
+ 168
670
+ 00:14:43,850 --> 00:14:47,250
671
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ู…ุถุญูƒุชุงู† ุฏูŠ ู„ู…ุง ุชุดู‡ุฑ ููŠ ุงู„
672
+
673
+ 169
674
+ 00:14:47,250 --> 00:14:50,890
675
+ series Z ู‡ุฐุง ุจุชุชุญุฑูƒ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ ู…ุนู†ุงุชู‡ ุงู„ link
676
+
677
+ 170
678
+ 00:14:50,890 --> 00:14:55,190
679
+ ู‡ุฐุง ู‡ุชู…ุดูŠ ู‡ูŠูƒ ู‡ุชุชุญุฑูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ุณูŠุฑ ู‡ูŠุฏูˆุฑ
680
+
681
+ 171
682
+ 00:14:55,190 --> 00:15:02,150
683
+ ุงูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑูŠ ุงู„ุณูŠุนุฉ ู‡ุฐุง ุชุฑุณ ู‡ุฐุง ู‡ุฏูˆุฑ ุจุฅูŠุดุŸ
684
+
685
+ 172
686
+ 00:15:03,420 --> 00:15:08,860
687
+ ุจุงุชุฌุงู‡ู‡ุง ู‚ุงู„ูˆุง ุณูŠู…ุง ู†ุงุชูˆ ุงู„ู…ุคุดุฑ ูŠุงุด ู‡ูŠุชุญุฑูƒ
688
+
689
+ 173
690
+ 00:15:08,860 --> 00:15:17,220
691
+ ู‡ุนุทูŠู†ุง ู‚ุฑุงุฉ ู‡ุฐุง
692
+
693
+ 174
694
+ 00:15:17,220 --> 00:15:28,280
695
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ bored tube gauge ุทูŠุจ
696
+
697
+ 175
698
+ 00:15:28,280 --> 00:15:28,880
699
+ ุงู„ tip
700
+
701
+ 176
702
+ 00:15:31,750 --> 00:15:42,270
703
+ ุงู„ู€ tip displacement ู‡ุงูŠ ุงู„ู€ tip ุงู„ู€
704
+
705
+ 177
706
+ 00:15:42,270 --> 00:15:47,070
707
+ displacement ุงู„ู„ูŠ ุฒุงู‡ุง ุชุงุนุช ุงู„ุทุฑู ู‡ุฐุง ุจุชุบูŠุฑ ุชู‚ุฑูŠุจุง
708
+
709
+ 178
710
+ 00:15:47,070 --> 00:15:54,550
711
+ ุฎุทูŠุง ู…ุน ุงู„ pressure tip motion ุงูˆ displacement
712
+
713
+ 179
714
+ 00:15:54,550 --> 00:16:03,150
715
+ ุชุบูŠุฑ ุฎุท ู…ุน ุงู„ pressureุทุจุนุง ุชุญุช ู‡ุฐู‡ ู„ู…ุง ุงู†ุช ูƒ
716
+
717
+ 180
718
+ 00:16:03,150 --> 00:16:05,990
719
+ designer ู…ุตู…ู… ุจุฏูƒ ุชุตู…ู… ุงู„ gauge ุงู†ุช ุจุชุดูˆู ุงู„ุดุฑูƒุฉ
720
+
721
+ 181
722
+ 00:16:05,990 --> 00:16:11,710
723
+ ุจุชุนู…ู„ ุงู„ gauges ู‡ุฐู‡ ุชุญุช linearly ููŠ ุดุบู„ ูƒุชูŠุฑ ููŠ
724
+
725
+ 182
726
+ 00:16:11,710 --> 00:16:16,090
727
+ ุงู„ุชูุงุตูŠู„ ุนุดุงู† ุชุถู…ู† ุงู†ู‡ ุงู„ุชุบูŠุฑ ุจูŠู† ุงู„ tip
728
+
729
+ 183
730
+ 00:16:16,090 --> 00:16:21,190
731
+ displacement ูˆ ุงู„ pressure is linear ุนุดุงู† ุงู† ุงู„
732
+
733
+ 184
734
+ 00:16:21,190 --> 00:16:25,610
735
+ linear ููŠู‡ ุชูุงุตูŠู„ ุงู„ material ุงู„ุณู…ุงูƒุฉ ุงู„ุดูƒู„
736
+
737
+ 185
738
+ 00:16:25,610 --> 00:16:31,320
739
+ ุงู„ุจูˆุถูˆูŠ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ .. ููŠู‡ ุชูุงุตูŠู„ุนุดุงู† ูŠูƒูˆู†
740
+
741
+ 186
742
+ 00:16:31,320 --> 00:16:37,240
743
+ linear ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ู‡ู†ุง ูƒูŠู ู…ูŠุซุจุชู‡ุง ุทุจุนุง ู…ุงููŠุด
744
+
745
+ 187
746
+ 00:16:37,240 --> 00:16:40,440
747
+ ุงูŠุด ุงุณู…ู‡ ูŠุนู†ูŠ ู‡ุฐุง schematic ู…ุงููŠุด ุงุณู…ู‡ sharp edge
748
+
749
+ 188
750
+ 00:16:40,440 --> 00:16:50,300
751
+ ู‡ุฐุง ุจุชูƒูˆู† ุงูŠู‡ ุงุด ููŠู‡ fillet ู…ุฏูˆุฑ ุชุฏูˆูŠุฑ ุทุฑูŠู‚ุฉ
752
+
753
+ 189
754
+ 00:16:50,300 --> 00:16:56,100
755
+ ุชุซุจูŠุช ุงู„ details ู‡ู†ุง ููŠู‡ุง ุชูุงุตูŠู„ ุจุฑุถู‡ ู‡ุฐุง ุงุณู…ู‡
756
+
757
+ 190
758
+ 00:16:56,100 --> 00:16:58,420
759
+ design ุงู„ู…ูˆุถูˆุน ุชุงู†ูŠ
760
+
761
+ 191
762
+ 00:17:02,990 --> 00:17:06,550
763
+ ุงู„ู€ boarding tube gauges ุจุชุบุทูŠ range ุชู‚ุฑูŠุจุง ู…ู† 100
764
+
765
+ 192
766
+ 00:17:06,550 --> 00:17:11,370
767
+ ูƒุจุณูƒุงู„ ู„ 150 ู…ูŠุฌุงุจุณูƒุงู„ ูŠุนู†ูŠ ุงู„ range ูˆุงุณุนุฉ ู…ู† 100
768
+
769
+ 193
770
+ 00:17:11,370 --> 00:17:17,170
771
+ ูƒุจุณูƒุงู„ ูŠุนู†ูŠ ู…ู† 10 ู…ูŠุฌุง ู„ 150 ู…ูŠุฌุง ูŠุนู†ูŠ ู…ู† 1 ุจุงุฑ
772
+
773
+ 194
774
+ 00:17:17,170 --> 00:17:26,090
775
+ ุชู‚ุฑูŠุจุง ู„ 1500 ุจุงุฑ ุทุจุนุง
776
+
777
+ 195
778
+ 00:17:26,090 --> 00:17:29,230
779
+ ุงู„ boarding gauge ุงุณุชุฎุฏุงู…ู‡ ูŠุนู†ูŠ ุจูŠูƒูˆู† ู…ููŠุฏ ู„ู…ุง ุงู„
780
+
781
+ 196
782
+ 00:17:29,230 --> 00:17:35,910
783
+ pressure ูŠูƒูˆู† staticุฃูˆ ุจุชุบูŠุฑ ุจุดูƒู„ ุจุทูŠุก ุฃู…ุง ุฅุฐุง
784
+
785
+ 197
786
+ 00:17:35,910 --> 00:17:40,870
787
+ ูƒุงู†ุช ุชุบูŠุฑ ุนู†ุฏ ู…ุตุฏุฑ ุงู„ pressure ุงู„ุชุบูŠุฑ ููŠู‡ ุณุฑูŠุน ุจุฏูƒ
788
+
789
+ 198
790
+ 00:17:40,870 --> 00:17:45,570
791
+ ุชุดูˆู ุทุฑู‚ ุชุงู†ูŠุฉ ู…ู† ุงู„ุดุบู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ู„ุฃุฑู‡ ููŠ
792
+
793
+ 199
794
+ 00:17:45,570 --> 00:17:51,670
795
+ ุงู„ู‚ุฑุงุกุงุช ุนู†ุฏูŠ friction ู‡ู†ุง ููŠ friction ุนู†ุฏูŠ ุงู„
796
+
797
+ 200
798
+ 00:17:51,670 --> 00:17:58,550
799
+ pins ููŠ friction ู‡ู†ุงููŠ friction ูˆููŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
800
+
801
+ 201
802
+ 00:17:58,550 --> 00:18:02,670
803
+ ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏู‡ friction ูˆููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
804
+
805
+ 202
806
+ 00:18:02,670 --> 00:18:07,510
807
+ backlash ุงู„ุงุณู†ุงู† ุจูŠูƒูˆู† ููŠู‡ุง ูุฑุงุบุงุช ูุงู„ backlash
808
+
809
+ 203
810
+ 00:18:07,510 --> 00:18:11,170
811
+ ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ hysteresis ูŠุนู†ูŠ ู„ู…ุง ู†ุถุบุท ูŠุฒูŠุฏ ุจูŠุญุงูˆู„
812
+
813
+ 204
814
+ 00:18:11,170 --> 00:18:14,550
815
+ ูŠุนุทูŠู†ุง ุงู„ู‚ุฑุงุกุฉ ู‚ู„ ู„ู…ุง ู†ุถุบุท ูŠู‚ู„ ุจูŠุญุงูˆู„ ูŠุนุทูŠู†ุง
816
+
817
+ 205
818
+ 00:18:14,550 --> 00:18:22,290
819
+ ุงู„ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ูุงู„ loading ุจูŠุฎุชู„ู ุนู† ุงู„ unloading
820
+
821
+ 206
822
+ 00:18:22,290 --> 00:18:28,290
823
+ ุจูŠุนู…ู„ hysteresisุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ุจุฑุถู‡ ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช
824
+
825
+ 207
826
+ 00:18:28,290 --> 00:18:31,690
827
+ ุงู„ู„ูŠ ุนู† ุงู„ุณู†ุจ ุงูˆ .. ุงูŠูˆุฉ ู„ุงู† ุงู†ุช .. ุงู†ุช ู„ู…ุง ุชูŠุฌูŠ
828
+
829
+ 208
830
+ 00:18:31,690 --> 00:18:37,550
831
+ ุชุซุจุช ู„ู…ุง ุช .. ุช .. ุชุญุท ุงู„ gauge ุงู„ู…ุตู†ุน ุจูŠุญูƒูˆ ..
832
+
833
+ 209
834
+ 00:18:37,550 --> 00:18:42,950
835
+ ุญูƒูŠู„ูƒ ูƒูŠู ุชุนู…ู„ ุงู„ connection ุงูŠูˆุฉ ูŠุนู†ูŠ ู†ุงุณ ุจูŠุญูƒูŠู„ูƒ
836
+
837
+ 210
838
+ 00:18:42,950 --> 00:18:50,690
839
+ ุงู† ู‡ู†ุง ู‡ุชุทู„ุน ู…ุซู„ุง ุงุฐุง ุนู†ุฏูŠ ุงู„ุจูˆุจ ุจูŠูƒูˆู† ูŠุนุทูŠู„ูƒ
840
+
841
+ 211
842
+ 00:18:50,690 --> 00:18:53,930
843
+ ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ how to connect
844
+
845
+ 212
846
+ 00:18:56,900 --> 00:19:01,340
847
+ ู‡ุฐุง ุชูƒูˆู† ุนู…ู„ ุญุณุงุจ ููŠ ุงู„ design ุจุฅู†ูุนุด ุชุนู…ู„ ุงู„
848
+
849
+ 213
850
+ 00:19:01,340 --> 00:19:06,000
851
+ connection ูˆ ุชูƒูˆู† ุฏุงุฎู„ ุงู„ู„ูŠ ู‡ูˆ ุดูˆูŠุฉ ุฒูŠ ู‡ูŠูƒ ูˆุงุถุญ
852
+
853
+ 214
854
+ 00:19:06,000 --> 00:19:14,170
855
+ ุงูŠูˆุฉ ุงู„ุงู† ุงู„ torque levelุฃูŠูˆุฉ ุจุชุนูŠุฑ .. ุจุชุนูŠุฑ ุนู„ู‰
856
+
857
+ 215
858
+ 00:19:14,170 --> 00:19:17,410
859
+ ุงู„ torque level ู…ุนูŠู† ู‡ุฐุง ุงูŠู‡ ุงู„ุนู„ุงู‚ุฉ ุจุงู„ุณู† ูŠุนู†ูŠ
860
+
861
+ 216
862
+ 00:19:17,410 --> 00:19:21,430
863
+ ุจูŠูƒูˆู† ูƒุงุชุจ ู„ูƒ ุงู„ู…ุตู†ุน ู‡ุฐุง ุจูŠุณูƒุฑ ุนู„ู‰ ู…ุซู„ุง ุงู„ .. ุงู„
864
+
865
+ 217
866
+ 00:19:21,430 --> 00:19:24,550
867
+ .. ุงู„ .. ุนู„ู‰ ู…ุซู„ุง ุนู„ู‰ ู„ุฃ ุงู„ torque ุจุชุญูƒูŠู‡ุง ุชู‡ูŠุฆุง
868
+
869
+ 218
870
+ 00:19:24,550 --> 00:19:28,590
871
+ ู…ุซู„ุง ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุจุชุนูŠุฑ ุนู†ุฏูƒ ุงู„ torch ุงู‡
872
+
873
+ 219
874
+ 00:19:28,590 --> 00:19:32,910
875
+ ุจุชุนูŠุฑู‡ ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุงูˆู„ ู…ุงุชุตู„ ู…ุงุฆุฉ ู†ูŠูˆุช
876
+
877
+ 220
878
+ 00:19:32,910 --> 00:19:39,290
879
+ ุงู„ู…ุชุฑ ุจูŠุตูŠุฑ ูŠู„ู ุนู„ู‰ ุงู„ูุงุถุจ ูˆ ุฏู‡ torching ู‡ุฐุงู…ูˆุฌูˆุฏ
880
+
881
+ 221
882
+ 00:19:39,290 --> 00:19:48,630
883
+ ู‡ุฐุง ุนุงุฏุฉ ุงู„ุดุฏ ุงู„ุฒุงูŠุฏ ู…ุด ูƒูˆูŠุณ ูˆ ุงุฐุง ูƒุงู†ุช ุชูˆุฑุฌูŠู† ุงูˆ
884
+
885
+ 222
886
+ 00:19:48,630 --> 00:19:51,890
887
+ ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ุจุฑุถู‡ ู…ุด ูƒูˆูŠุณ ุงุฐุง ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ู…ู…ูƒู†
888
+
889
+ 223
890
+ 00:19:51,890 --> 00:19:57,350
891
+ ูŠุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุตุญ ูˆ ุงุฐุง ุงูƒุชุฑ ู…ู† ุงู„ู„ุงุฒู… ู…ู…ูƒู† ูŠุณูˆูŠ
892
+
893
+ 224
894
+ 00:19:57,350 --> 00:20:04,370
895
+ ูŠุตูŠุฑ ูƒุณุฑ ู„ู„ุณู† ุตุงุฑ ูƒุณุฑ ู„ู„ุณู† ุฎุฑุจุช ูˆ ู„ูˆ ู…ุงุงู†ุชุจู‡ุชุด
896
+
897
+ 225
898
+ 00:20:04,370 --> 00:20:09,020
899
+ ู‡ุชุตูŠุฑ ุชุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุชุณุฑูŠุจูู…ุด ูƒูˆูŠุณ ุดุฏ ูƒุชูŠุฑ ุงุญู†ุง
900
+
901
+ 226
902
+ 00:20:09,020 --> 00:20:12,380
903
+ ุฎุดุชูˆุง ุนู„ู‰ ู…ุงุฏุฉ ุชุตู…ูŠู… ุงู„ู‡ุงุชู machine design ู‡ูŠูƒ
904
+
905
+ 227
906
+ 00:20:12,380 --> 00:20:16,520
907
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ design ุงู„ุชุงู†ูŠ
908
+
909
+ 228
910
+ 00:20:16,520 --> 00:20:23,200
911
+ ุงู„ุงู† ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ุฃุฌุณุณ ุงู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ ุงู„ ุงู„
912
+
913
+ 229
914
+ 00:20:23,200 --> 00:20:27,340
915
+ diaphragms elastic diaphragms diaphragm ูŠุนู†ูŠ ุบุดุงุก
916
+
917
+ 230
918
+ 00:20:27,340 --> 00:20:31,640
919
+ ุจูŠูƒูˆู† ุฏูŠ basically ุจูŠูƒูˆู† ุฏูŠ ุบุดุงุก
920
+
921
+ 231
922
+ 00:20:42,100 --> 00:20:48,960
923
+ ูˆ ุงู„ุบุดุงุก ู…ุซุจุช ุจุทุฑูŠู‚ุฉ ู…ุง .. ุงุฐุง ุนู†ุฏู‡ ู‡ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท
924
+
925
+ 232
926
+ 00:20:48,960 --> 00:20:54,600
927
+ ุงู„ู„ูŠ ููŠู‡ ุนู†ุฏู‡ ู‡ูŠ pressure ู†ู†ุชุฌ
928
+
929
+ 233
930
+ 00:20:54,600 --> 00:21:00,420
931
+ .. ู†ู†ุชุฌ ุงู„ pressure ุงุด ู‡ุชุตูŠุฑ ููŠู‡ุŸ ู‡ุชุตูŠุฑ deflection
932
+
933
+ 234
934
+ 00:21:00,420 --> 00:21:06,340
935
+ ู‡ุชุตูŠุฑ
936
+
937
+ 235
938
+ 00:21:06,340 --> 00:21:08,700
939
+ ุงูŠู‡ ุงุดุŸ deflection
940
+
941
+ 236
942
+ 00:21:12,590 --> 00:21:18,110
943
+ ุงู„ู€ deflection ู‡ุฐุง ู‚ูŠู…ุชู‡ ู…ุชู†ุงุณุจุฉ ู…ุน ู‚ูŠู…ุฉ ุงู„ุถุบุท
944
+
945
+ 237
946
+ 00:21:18,110 --> 00:21:25,550
947
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ูŠุฒูŠุฏ ุงู„ุถุบุท ุงู„ pressure is deflection ูˆ
948
+
949
+ 238
950
+ 00:21:25,550 --> 00:21:28,690
951
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ deflection ูˆ ุงู„ pressure ุทุจุนุง ุฅุฐุง
952
+
953
+ 239
954
+ 00:21:28,690 --> 00:21:33,010
955
+ ุชุฑูˆุญ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ู‡ูŠ plate
956
+
957
+ 240
958
+ 00:21:33,010 --> 00:21:36,610
959
+ theory
960
+
961
+ 241
962
+ 00:21:36,610 --> 00:21:39,750
963
+ plate
964
+
965
+ 242
966
+ 00:21:39,750 --> 00:21:47,270
967
+ ุงูˆthin plate theory ุจูŠูƒูˆู†
968
+
969
+ 243
970
+ 00:21:47,270 --> 00:21:50,090
971
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ุงู„ู…ุนุงุฏู„ุงุช ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress ุงู„
972
+
973
+ 244
974
+ 00:21:50,090 --> 00:21:55,210
975
+ stress ุจูŠุนู…ู„ strain ูู…ู…ูƒู† ุงู†ุง ู…ุจุงุดุฑุฉ ุงู†ุง ุงู„ delta
976
+
977
+ 245
978
+ 00:21:55,210 --> 00:21:59,990
979
+ ุงู„ deflection ุฏู‡ ุงู„ deflection ุงุญุฏ ุงู„ุทุฑู‚ ุงู†ู‡ ุงุญุงูˆู„
980
+
981
+ 246
982
+ 00:21:59,990 --> 00:22:06,170
983
+ somehow ุงู„ motion for some indicator ูˆ ุงู‚ูŠุณ ุงูŠุด ุงู„
984
+
985
+ 247
986
+ 00:22:06,170 --> 00:22:10,690
987
+ pressure ุงูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงุญุท
988
+
989
+ 248
990
+ 00:22:11,870 --> 00:22:18,230
991
+ ุฃุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ูƒู‡ุฑุจุงุฆูŠุฉ ุฃุญุท ู…ุซู„ุง ู‡ู†ุง ุนู†ุฏูŠ ุฃุญุท
992
+
993
+ 249
994
+ 00:22:18,230 --> 00:22:26,590
995
+ stringage stringage ู†ุชูŠุฌุฉ ุฃู†ู‡ ุตุงุฑ deflection ู…ุซุจุช
996
+
997
+ 250
998
+ 00:22:26,590 --> 00:22:33,790
999
+ ุฃูŠูˆุฉ ุทูˆู„ู‡ ู‡ุฒูŠุฏ ู…ุซู„ุง ุทูˆู„ุฉ ุญุฑูŠุฉ ู…ุซู„ุง ู‡ุงูŠ ุฃู„ ูˆุงุญุฏ
1000
+
1001
+ 251
1002
+ 00:22:33,790 --> 00:22:43,000
1003
+ ู‡ุตูŠุฑ ุทูˆู„ู‡ ุฃู„ ุงุชู†ูŠู† ูˆ Delta ุณูˆุงุก ุฃู„ ุงุชู†ูŠู†-L ูˆุงุญุฏ
1004
+
1005
+ 252
1006
+ 00:22:43,000 --> 00:22:49,140
1007
+ ูˆุงู„ู€ strain ุงู„ู„ูŠ ุตุงุฑ ุงู„ู€ change ููŠ ุงู„ length ู†ุชูŠุฌุฉ
1008
+
1009
+ 253
1010
+ 00:22:49,140 --> 00:22:55,400
1011
+ Delta Delta L ุจูŠูƒูˆู† ุฏูŠ Delta ุนุงุด R ุนุงุด ุงู„ R
1012
+
1013
+ 254
1014
+ 00:22:55,400 --> 00:22:59,680
1015
+ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ูุงู†ุง ุงู„ู„ูŠ
1016
+
1017
+ 255
1018
+ 00:22:59,680 --> 00:23:04,760
1019
+ ุจู‚ูŠุณู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ุฐุง ู‚ูŠุงุณู‡ ุณู‡ู„ ูƒุชูŠุฑ ู„ุฃู† ููŠ
1020
+
1021
+ 256
1022
+ 00:23:04,760 --> 00:23:08,160
1023
+ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ change ููŠ ุงู„ resistance ู…ุน ุงู„ change
1024
+
1025
+ 257
1026
+ 00:23:08,160 --> 00:23:12,730
1027
+ ููŠ ุงู„ length ูˆ ุงู„ change ููŠ ุงู„ lengthููŠ ุนู„ุงู‚ุฉ ุฅู„ู‡
1028
+
1029
+ 258
1030
+ 00:23:12,730 --> 00:23:18,870
1031
+ ุจุงู„ stress ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ูƒู…ุงู† ููŠ ุงู„
1032
+
1033
+ 259
1034
+ 00:23:18,870 --> 00:23:23,410
1035
+ pressure ุทุจุนุง ุจุฏูŠุด ุงู†ุง ู„ู…ุง ุงุฑุณู… ุงู„ stress strain
1036
+
1037
+ 260
1038
+ 00:23:23,410 --> 00:23:28,910
1039
+ curve ู„ู„ู…aterial ุจุชุงุนุชู‡ุง ุฏู‡ ู‡ุงูŠ stress ูˆ ู‡ุงูŠ
1040
+
1041
+ 261
1042
+ 00:23:28,910 --> 00:23:39,150
1043
+ strain ู‡ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ mechanics of material ู‡ุชุนุฑูุด
1044
+
1045
+ 262
1046
+ 00:23:39,150 --> 00:23:48,230
1047
+ ูŠุนู†ูŠ stressูˆ strain ุทูŠุจ ุงู„ deflections ู‡ุชูƒูˆู† ุจุญูŠุซ
1048
+
1049
+ 263
1050
+ 00:23:48,230 --> 00:23:52,210
1051
+ ู…ุงุฏุฎู„ุด ู„ plastic region ูŠุนู†ูŠ ุงู†ุง ุงุธู† ููŠ ุงูŠุด ููŠ ุงู„
1052
+
1053
+ 264
1054
+ 00:23:52,210 --> 00:23:57,230
1055
+ elastic region ู„ุงู† ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ stress ูˆ ุงู„
1056
+
1057
+ 265
1058
+ 00:23:57,230 --> 00:24:02,110
1059
+ strain ููŠ ุงู„ elastic region sigma ุจุงู„ุณูˆุงุก E ููŠ
1060
+
1061
+ 266
1062
+ 00:24:02,110 --> 00:24:08,950
1063
+ ุฃุจุณุฑู… ุงู„ sigmaุทุจุนุง ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ slope ุฏู‡ ุงู„
1064
+
1065
+ 267
1066
+ 00:24:08,950 --> 00:24:11,990
1067
+ linear portion ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ modulus of
1068
+
1069
+ 268
1070
+ 00:24:11,990 --> 00:24:16,850
1071
+ elasticity ูุจุฏุง ุชูƒูˆู† ููŠ ุงู„ .. ููŠ ุงู„ ุทุจุนุง ุงู„ู„ูŠ ุงู„ู„ูŠ
1072
+
1073
+ 269
1074
+ 00:24:16,850 --> 00:24:23,210
1075
+ ุฃู‚ุนุฏ ุฃุดู…ู„ู‡ุง linear ูˆ ุงู„ pressure somehow ุงู„
1076
+
1077
+ 270
1078
+ 00:24:23,210 --> 00:24:27,270
1079
+ pressure ู‡ู†ุง ุจูŠุนู…ู„
1080
+
1081
+ 271
1082
+ 00:24:27,270 --> 00:24:35,670
1083
+ stress ุจูŠุนู…ู„ ุนู†ุฏูƒ ุจูŠุนู…ู„ ู…ุง ูŠุณู…ู‰ ู„ู…ุง ุฃุดุฏ ู†ู‡ูŠุฃูƒ ุฃู†ุง
1084
+
1085
+ 272
1086
+ 00:24:35,670 --> 00:24:36,270
1087
+ ุฃูƒุจุฑู‡ุง
1088
+
1089
+ 273
1090
+ 00:24:39,280 --> 00:24:42,600
1091
+ ุจุฏูŠ ุงุนู…ู„ ุจุนุฏ ุงู„ู€ deformation ู‡ุณูŠุฑ ุดูƒู„ ุงู„ู€ membrane
1092
+
1093
+ 274
1094
+ 00:24:42,600 --> 00:24:48,260
1095
+ ุทุจุนุง
1096
+
1097
+ 275
1098
+ 00:24:48,260 --> 00:24:55,880
1099
+ ู‡ูŠูƒ ู‡ู†ุง ููŠ support ูˆู‡ู†ุง ููŠ support ู‡ุนู…ู„
1100
+
1101
+ 276
1102
+ 00:24:55,880 --> 00:25:03,100
1103
+ ู„ูŠู‡ sigma tangential ุฃูˆ ุจูŠุณู…ูˆู‡ุง sigma hoop hoop
1104
+
1105
+ 277
1106
+ 00:25:03,100 --> 00:25:09,040
1107
+ stress tangential stressุชู†ุฌุณุฑ ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ูุจุตูŠุฑ
1108
+
1109
+ 278
1110
+ 00:25:09,040 --> 00:25:14,720
1111
+ stress ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ุจุงู„ุดูŠุก ุจูŠุตูŠุฑ stress ูŠุนู†ูŠ ุงู†ุช
1112
+
1113
+ 279
1114
+ 00:25:14,720 --> 00:25:19,320
1115
+ ู„ูˆ ูˆุงุญุฏ ู…ุณูƒุช ู…ู† ุงูŠุฏู‡ ูˆ ุญุงูˆู„ ูŠุณุญุจูƒ ูˆ ุงู†ุช ุถุงู„ุชูƒ ูˆ
1116
+
1117
+ 280
1118
+ 00:25:19,320 --> 00:25:22,380
1119
+ ู…ุงุงุณุชุฌุจุชุด ู…ุนุงู‡ ู„ูˆ ู…ุงุดูŠุช ู…ุนุงู‡ ู…ุงููŠุด ุงุฌู‡ุงุฏ ุนู„ู‰ ุงูŠุฏูƒ
1120
+
1121
+ 281
1122
+ 00:25:22,380 --> 00:25:26,700
1123
+ ู„ูƒู† ุงุฐุง ุถ๏ฟฝ๏ฟฝู„ุชูƒ ุซุงุจุช ูˆ ุดุฏุชูƒ ู‡ุชุญุณ ููŠู‡ ุดุฏ ููŠ ุงูŠุฏูƒ ู‡ุฐุง
1124
+
1125
+ 282
1126
+ 00:25:26,700 --> 00:25:32,820
1127
+ ุงู„ stress ูŠุนู†ูŠ ู…ุงุชูƒุด ุชุชุญุฑูƒ ุงู†ุช ู…ุงุดูŠ ู…ู…ูƒู† ุญุชู‰ ูŠุตูŠุฑ
1128
+
1129
+ 283
1130
+ 00:25:32,820 --> 00:25:36,570
1131
+ ุนู†ุฏูƒ strains ุญุชุฉ ููŠ ุนุถู„ุงุช ุงูŠุฏูƒ ุชุดุฏ ุงูŠุฏูƒู†ุชูŠุฌุฉ ุงู„
1132
+
1133
+ 284
1134
+ 00:25:36,570 --> 00:25:42,090
1135
+ stress ู…ุงููŠุด stress ู…ุด ู‡ุชุดุฏ ุงู„ุนุถู„ุฉ ุตุญ ูุจุณูŠุฏูŠ
1136
+
1137
+ 285
1138
+ 00:25:42,090 --> 00:25:45,510
1139
+ tangential stress ููŠ ุนู„ุงู‚ุฉ tangential stress sigma
1140
+
1141
+ 286
1142
+ 00:25:45,510 --> 00:25:51,830
1143
+ tangential is a function of applied pressure ูˆู‡ุฐู‡
1144
+
1145
+ 287
1146
+ 00:25:51,830 --> 00:26:01,530
1147
+ ุงู„ relation is very well known ู…ุนุฑูˆูุฉ ูŠุนู†ูŠ ุงุฑูˆุญ
1148
+
1149
+ 288
1150
+ 00:26:01,530 --> 00:26:04,890
1151
+ ุนู„ู‰ ุงู„ thin plateุชุฑูˆุญ ุนู„ู‰ ุงู„ู€ mechanics of
1152
+
1153
+ 289
1154
+ 00:26:04,890 --> 00:26:07,270
1155
+ material ุฃูˆ advanced mechanics of material ุชูˆุฌุฏ
1156
+
1157
+ 290
1158
+ 00:26:07,270 --> 00:26:12,330
1159
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„
1160
+
1161
+ 291
1162
+ 00:26:12,330 --> 00:26:17,790
1163
+ diaphragms ุงู„ diaphragms ุจุชูŠุฌูŠ ุนู„ู‰ ู†ูˆุนูŠู† ุจุชูŠุฌูŠ
1164
+
1165
+ 292
1166
+ 00:26:17,790 --> 00:26:23,900
1167
+ ุงู„ู„ูŠ ู‡ูŠ flat diaphragms ู‡ุฐุง ุงู„ู†ุธุงู…flat diaphragms
1168
+
1169
+ 293
1170
+ 00:26:23,900 --> 00:26:29,980
1171
+ ุงู„ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ุฎุงุฑุฌ ู…ู† ู‡ู†ุง ุจูŠุฌูŠ ุจูŠุตูŠุฑ ููŠู‡ุงุด ุชู‚ูˆุณ
1172
+
1173
+ 294
1174
+ 00:26:29,980 --> 00:26:34,780
1175
+ ู‡ุฐุง flat diaphragms ูˆ ููŠู‡ corrugated corrugated
1176
+
1177
+ 295
1178
+ 00:26:34,780 --> 00:26:41,000
1179
+ ุงูŠุด ูŠุนู†ูŠ corrugated ุจูŠุฌูŠ ุฒูŠ ู‡ูŠูƒ ูŠุนู†ูŠ ู…ุชุนุฑุฌ ุจูŠุฌูŠ
1180
+
1181
+ 296
1182
+ 00:26:41,000 --> 00:26:47,200
1183
+ ุงูŠุด ู…ุชุนุฑุฌ ู…ุตุฏุฑ ุงู„ุถุบุท ุจูŠูƒูˆู† ุฌุง ู…ู† ู‡ู†ุง ู…ุตุฏุฑ ุงู„ุถุบุท
1184
+
1185
+ 297
1186
+ 00:26:47,200 --> 00:26:53,510
1187
+ ู‡ู†ุง ุงู„ pressureุงู„ุงู† ู…ู† ุงุถุบุท ุงุฏุฎู„ force ู…ู† ู‡ู†ุง
1188
+
1189
+ 298
1190
+ 00:26:53,510 --> 00:27:00,590
1191
+ ู‡ูŠุฏุบุท ุนู„ู‰ ู‡ุฐุง ู‡ุณุชูŠุฑ ููŠู‡ ุงูŠุงุด ุฏูู„ูŠูƒุดู†
1192
+
1193
+ 299
1194
+ 00:27:00,590 --> 00:27:06,250
1195
+ ุฏูู„ูŠูƒุดู† ู„ุงุญุธูŠู† ุงู„ link ู‡ุฐู‡ ุฏุงูุฑุงู…
1196
+
1197
+ 300
1198
+ 00:27:06,250 --> 00:27:09,850
1199
+ ู‡ุฐุง
1200
+
1201
+ 301
1202
+ 00:27:09,850 --> 00:27:14,550
1203
+ ุตุญูŠุญ
1204
+
1205
+ 302
1206
+ 00:27:14,550 --> 00:27:16,690
1207
+ ุจุนุฏูŠู† ู…ู…ูƒู† ู†ุนู…ู„ ูƒุฐุง ุทุจู‚ุฉ ุทุจู‚ุงุช
1208
+
1209
+ 303
1210
+ 00:27:20,850 --> 00:27:26,150
1211
+ ุงู„ุงู† ู‡ุงูŠ ุนู†ุฏูŠ link ุจุชุญุฑูƒ ุงู„ link ู‡ุฐู‡ ูŠุนู†ูŠ ู‡ุฐู‡
1212
+
1213
+ 304
1214
+ 00:27:26,150 --> 00:27:34,010
1215
+ ู…ุจุงุดุฑุฉ ู‡ูŠ ุนู†ุฏูŠ ู…ุฑูƒุฒ ุฏูˆุฑุงู† ู„ุฃู† ููŠ ุนู†ุฏูŠ link ุฒูŠ ู‡ูŠูƒ
1216
+
1217
+ 305
1218
+ 00:27:34,010 --> 00:27:37,270
1219
+ ูˆุนู†ุฏูŠ
1220
+
1221
+ 306
1222
+ 00:27:37,270 --> 00:27:41,530
1223
+ link ุชุงู†ูŠุฉ ูˆุนู†ุฏูŠ
1224
+
1225
+ 307
1226
+ 00:27:41,530 --> 00:27:48,210
1227
+ ู‡ู†ุง ุฅูŠุด link ู‡ุฐู‡ ูˆููŠ ุทุฑูู‡ุง ุฅูŠุด centersุงู„ุงู† ู„ู…ุง
1228
+
1229
+ 308
1230
+ 00:27:48,210 --> 00:27:53,870
1231
+ ู†ุฒู„ุช ุงู„ุถุบุท ู‡ุฏู‰ ู‡ุชุฑูุน ุฏุงูุฑุงู… ู„ุฃุนู„ู‰ ู„ู…ุง ุชุฑูุน ุฏุงูุฑุงู…
1232
+
1233
+ 309
1234
+ 00:27:53,870 --> 00:27:59,990
1235
+ ู„ุฃุนู„ู‰ ู„ู‡ุฏู‰ ู‡ุชุฏูุน ู‡ุฏู‰ ู‡ูŠุทู„ุน ุฒูŠ ู‡ูŠูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฏู‰
1236
+
1237
+ 310
1238
+ 00:27:59,990 --> 00:28:04,170
1239
+ ู‡ุชู…ุดูŠ ู‡ุชุทู„ุน ู„ุฃุนู„ู‰ ุงู„ุงู† ู‡ู†ุง ููŠ ู„ุญุธุฉ ู‡ู†ุง ู…ุฑูƒุฒ ุฏูˆุฑุงู†
1240
+
1241
+ 311
1242
+ 00:28:04,170 --> 00:28:08,770
1243
+ ู‡ู†ุง ู‡ุฏู‰
1244
+
1245
+ 312
1246
+ 00:28:08,770 --> 00:28:14,060
1247
+ ู‡ุณูŠุฑ ุงู„ rotation ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉู‡ุฐุง ุงู„ุชุฑุณ ุงู„ุตุบูŠุฑ
1248
+
1249
+ 313
1250
+ 00:28:14,060 --> 00:28:18,520
1251
+ ุงู„ู„ู‰ ู…ุซุจุช ุนู„ูŠู‡ ุงู„ู…ุคุดุฑ ู‡ุตูŠุฑ rotation ู…ุนู‚ุงุฑ ุจุงู„ุณุงุนุฉ
1252
+
1253
+ 314
1254
+ 00:28:18,520 --> 00:28:29,180
1255
+ ู…ุนู†ุงู‡ ุงู„ู…ุคุดุฑ ุงูŠุด ู…ุนู„ู‡ ู‡ูŠุทู„ุน ุจู‚ูŠ ู†ู‚ุฑุฃู‡ ู„ู„ุถุบุท
1256
+
1257
+ 315
1258
+ 00:28:29,180 --> 00:28:36,560
1259
+ ููŠู‡
1260
+
1261
+ 316
1262
+ 00:28:36,560 --> 00:28:40,580
1263
+ ู‚ูุงุตูŠู„ ุทุจุนุง ุงุฐุง ูƒุงู† ุงู„ุฎู…ูŠู„ ูƒุชูŠุฑ ูˆ ู…ุด ูƒูˆูŠุณ
1264
+
1265
+ 317
1266
+ 00:28:43,240 --> 00:28:53,440
1267
+ ู…ุนุฏู†ู‰ ู…ุนุฏู†ู‰ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุทุงุท ุจุณ ุนู†ุฏูƒ ุญุณุงุณ ูƒุชูŠุฑ ูˆ ุงู„
1268
+
1269
+ 318
1270
+ 00:28:53,440 --> 00:28:58,520
1271
+ elastic range ุจุชุงุนู‡ ูƒุจูŠุฑ
1272
+
1273
+ 319
1274
+ 00:28:58,520 --> 00:29:04,800
1275
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… ู…ุทุงุท ุจุณ ุงูŠุด ุนุงูŠุฒ ู…ุทุงุท ุทุจุนุง ููŠ ู…ูŠุฒุฉ ูˆ
1276
+
1277
+ 320
1278
+ 00:29:04,800 --> 00:29:08,640
1279
+ ููŠ ุนูŠุจ ุงู„ู…ูŠุฒุฉ ุงู†ุง ู…ู…ูƒู† ุงู‚ูŠุต ุถุบูˆุท ู…ู†ุฎูุถุฉ ูƒุชูŠุฑ ู‡ุฐู‡
1280
+
1281
+ 321
1282
+ 00:29:08,640 --> 00:29:10,840
1283
+ ู…ูŠุฒุฉ ุงู„ุนูŠุจ
1284
+
1285
+ 322
1286
+ 00:29:12,180 --> 00:29:14,760
1287
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุงุนุชุจุฑู‡ ุนูŠุจ ู…ุด ุนูŠุจ ูŠุนู†ูŠ ุงู†ุง ุญุงู„ูŠุง ุงู†ุง
1288
+
1289
+ 323
1290
+ 00:29:14,760 --> 00:29:19,940
1291
+ computers ุงู„ุนูŠุจ ุงู†ู‡ ุนู„ุงู‚ุฉ ุงู„ stress ูˆ ุงู„ strain ู…ุด
1292
+
1293
+ 324
1294
+ 00:29:19,940 --> 00:29:25,320
1295
+ linear ู…ุน ุงู†ู‡ elastic ููŠ ุงู„ู…ุนุงุฏู† ุนู„ุงู‚ุฉ ุจูŠู† ุงู„
1296
+
1297
+ 325
1298
+ 00:29:25,320 --> 00:29:29,320
1299
+ stress ูˆ ุงู„ strain ู‡ุงูŠ ุฃุจุณู„ูˆู† ุณุฌู† ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„
1300
+
1301
+ 326
1302
+ 00:29:29,320 --> 00:29:33,520
1303
+ metals ู…ุซู„ุง ููŠ ุงู„ elastic region ุงู„ุนู„ุงู‚ุฉ ูŠุงุด
1304
+
1305
+ 327
1306
+ 00:29:33,520 --> 00:29:40,880
1307
+ linear ุจุณู…ูŠู‡ linear elastic linear elastic
1308
+
1309
+ 328
1310
+ 00:29:43,470 --> 00:29:48,810
1311
+ ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ู…ุทุงุท ุจูŠูƒูˆู† ู‡ุงูŠ ุงู„ stress ู‡ุงูŠ ุงู„
1312
+
1313
+ 329
1314
+ 00:29:48,810 --> 00:29:56,250
1315
+ strain stress ุจูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ุงู„ .. ุงู„ ุนู„ุงู‚ุฉ elastic
1316
+
1317
+ 330
1318
+ 00:29:56,250 --> 00:30:06,210
1319
+ ุจุณ .. ุจุณ .. ุจุณ .. ุจุณ ู…ุด linear non linear elastic
1320
+
1321
+ 331
1322
+ 00:30:06,210 --> 00:30:09,970
1323
+ ูŠุนู†ูŠ
1324
+
1325
+ 332
1326
+ 00:30:09,970 --> 00:30:15,200
1327
+ ู„ูˆ ุดูŠู„ุช ุงู„ load ุนู„ูŠู‡ ุจุฑุฌุนุนุงุฏุฉ ููŠ ุฃุฌู‡ุฒุฉ .. ุนุงุฏุฉ ููŠ
1328
+
1329
+ 333
1330
+ 00:30:15,200 --> 00:30:19,660
1331
+ ุฃุฌู‡ุฒุฉ ุงู„ู‚ูŠุงุณ ุจูŠุดุชุบู„ูˆุง ุนู„ู‰ ุงู„ู„ูŠู†ูŠุฑุงุช ุงู† ูŠูƒูˆู†
1332
+
1333
+ 334
1334
+ 00:30:19,660 --> 00:30:24,940
1335
+ ุงู„ุนู„ุงู‚ุฉ Linear ู…ู…ูƒู† ุชุนู…ู„ ุฌู‡ุงุฒ ู…ุงู† Linear ุจุณ ุงู„
1336
+
1337
+ 335
1338
+ 00:30:24,940 --> 00:30:32,920
1339
+ design ุจุชุงุนู‡ ูˆ ุงู„ control ู‡ูŠูƒูˆู† ููŠู‡ ู…ูƒู„ุฌุน ุงู„ู…ุชุนุฑุฌ
1340
+
1341
+ 336
1342
+ 00:30:32,920 --> 00:30:37,560
1343
+ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰
1344
+
1345
+ 337
1346
+ 00:30:37,560 --> 00:30:40,980
1347
+ ุงู„ู„ูŠ ู‡ู… sensible ุงูˆ measurable displacement ู…ู…ูƒู†
1348
+
1349
+ 338
1350
+ 00:30:40,980 --> 00:30:46,650
1351
+ ุชุนู…ู„ ุงุชุญุงุฏุซ ู„ูุฑู‚ุงู„ุงู† ุงู„ .. ุงู„ .. ุจุฑุถู‡ ุงู„ู…ุชุนุฑูุด
1352
+
1353
+ 339
1354
+ 00:30:46,650 --> 00:30:49,290
1355
+ ุจูŠุนุทูŠ strength ุจูŠุนุทูŠ moment of inertia ุงู„ section
1356
+
1357
+ 340
1358
+ 00:30:49,290 --> 00:30:54,870
1359
+ ุจูŠุตูŠุฑ ุฃุนู„ู‰ ูŠุนู†ู‰ ุงู†ุช ู„ูˆ
1360
+
1361
+ 341
1362
+ 00:30:54,870 --> 00:31:00,090
1363
+ ุฌุจุชู„ูƒ ู‚ุทุนุฉ ุจุนุฏูŠู† ู…ู…ูƒู† ุชู‚ูŠุณ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ู…ู…ูƒู† ุชู‚ูŠุณ
1364
+
1365
+ 342
1366
+ 00:31:00,090 --> 00:31:05,690
1367
+ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ุงู„ู„ูŠ ู„ูˆ ุฃู†ุง ุฌุจุชู„ูƒ sheet flat sheet
1368
+
1369
+ 343
1370
+ 00:31:05,690 --> 00:31:11,530
1371
+ flat sheet ู‡ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุจุณ ุฎู„ูŠู†ุง ู†ุงุฎุฏ ุจุณ
1372
+
1373
+ 344
1374
+ 00:31:11,530 --> 00:31:18,480
1375
+ ุจุนุถุฉ ูˆุงุญุฏุฉ ููŠู‡ุงู…ู…ูƒู† ุชุชุญู…ู„ ุงูƒุชุฑ ู‡ุฐูŠ ูˆู„ุง ู‡ุฐูŠ ูุงู†ุง
1376
+
1377
+ 345
1378
+ 00:31:18,480 --> 00:31:30,300
1379
+ ู†ุงุณูŠู‡ ููŠู‡ correction ุจุฎุชู„ู
1380
+
1381
+ 346
1382
+ 00:31:30,300 --> 00:31:35,820
1383
+ ุงู„ุฃุดูŠุงุก ุทูŠุจ ุนู„ู‰ ุงูŠ ุญุงู„ ููŠ ุชูุงุตูŠู„ ูƒุชูŠุฑุฉ ุจุณ ู‡ุฐู‡ ู‡ูŠ
1384
+
1385
+ 347
1386
+ 00:31:35,820 --> 00:31:39,900
1387
+ ุงู„ basic principle of diaphragm elastic diaphragms
1388
+
1389
+ 348
1390
+ 00:31:44,580 --> 00:31:49,660
1391
+ ู‡ุฐุง ุญุงูƒูŠ ุงู†ู‡ุง ูŠูุถู„ ุงู† ุงู„ู„ุงู‚ุฉ ุชูƒูˆู† ุงู„ .. ุงู„ .. ุงู„
1392
+
1393
+ 349
1394
+ 00:31:49,660 --> 00:31:52,180
1395
+ linear output ูŠุนู†ูŠ ุงูŠุด ูŠุนู†ูŠ linear output ูŠุนู†ูŠ ุงู„
1396
+
1397
+ 350
1398
+ 00:31:52,180 --> 00:31:56,620
1399
+ pressure ุจุชุบูŠุฑ linearly ู…ุน ุงู„ input ุงูŠุด ู‡ูˆ ุงู„
1400
+
1401
+ 351
1402
+ 00:31:56,620 --> 00:32:01,600
1403
+ input ุงู„ pressure ุงู„ input ู‡ูˆ ุงู„ pressure ุงู„
1404
+
1405
+ 352
1406
+ 00:32:01,600 --> 00:32:04,920
1407
+ output ุงูŠุด ู‡ูˆ ุญุณุจ
1408
+
1409
+ 353
1410
+ 00:32:06,030 --> 00:32:08,750
1411
+ ุฅุฐุง ูƒุงู†ุช mechanical movement ู‡ูŠ ุงู„ movement ุฃูˆ
1412
+
1413
+ 354
1414
+ 00:32:08,750 --> 00:32:12,050
1415
+ ุงู„ู…ุคุดุฑุŒ ุฅุฐุง ูƒุงู†ุช ุฏู‡ ุญูˆู„ ุงู„ electrical signalุŒ
1416
+
1417
+ 355
1418
+ 00:32:12,050 --> 00:32:15,030
1419
+ ุงู„ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุงุตูŠุฉ ุงู„ูƒู‡ุฑุจุงูŠุฉ ุณูˆุงุก ูƒุงู†ุช
1420
+
1421
+ 356
1422
+ 00:32:15,030 --> 00:32:18,170
1423
+ resistance ุฃูˆ voltage ุฃูˆ capacitance ุฃูˆ
1424
+
1425
+ 357
1426
+ 00:32:18,170 --> 00:32:22,610
1427
+ inductanceุŒ ุจุชุชุบูŠุฑ ุฅูŠุงุด linear
1428
+
1429
+ 358
1430
+ 00:32:26,450 --> 00:32:30,370
1431
+ ุงู„ุงู† ู„ุงุฒู… ุงูƒูˆู† ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุงู„ู„ู‰ ููŠู‡ ู‡ุฒูƒุฑ ุจุนุถ ุงู„
1432
+
1433
+ 359
1434
+ 00:32:30,370 --> 00:32:34,010
1435
+ design requirements ูŠุนู†ูŠ ุงู„ู…ุชุทู„ุจุงุช ุงู„ุชุตู…ูŠู… ุงู„ู„ู‰
1436
+
1437
+ 360
1438
+ 00:32:34,010 --> 00:32:38,890
1439
+ ู„ุงุฒู… ูŠุชูˆูุฑ ููŠ ุงู„ elastic diaphragms ุงูˆู„ุด ุงู„
1440
+
1441
+ 361
1442
+ 00:32:38,890 --> 00:32:42,510
1443
+ flexibility and thus sensitive pressure change
1444
+
1445
+ 362
1446
+ 00:32:42,510 --> 00:32:45,350
1447
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† flexible ู…ุด ู„ุงุฒู… ุชูƒูˆู† ู†ุงุดูุฉ ุฌุงู…ุฏุฉ
1448
+
1449
+ 363
1450
+ 00:32:45,350 --> 00:32:49,950
1451
+ ููŠู‡ุง ู…ุฑูˆู†ุฉ and thus sensitive pressure change must
1452
+
1453
+ 364
1454
+ 00:32:49,950 --> 00:32:53,070
1455
+ provide diaphragm deflections that match the input
1456
+
1457
+ 365
1458
+ 00:32:53,070 --> 00:32:58,150
1459
+ range of the secondaryุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ูุนู„ุง ุณูŠูƒุงู†ุฏุฑ
1460
+
1461
+ 366
1462
+ 00:32:58,150 --> 00:33:05,970
1463
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูˆู„ ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ู‡ูˆ ุงู„ุบุดุงุก ุงู„ู„ูŠ ู‡ูˆ
1464
+
1465
+ 367
1466
+ 00:33:05,970 --> 00:33:10,290
1467
+ ุจูŠุณุชุฌูŠุจ ู„ุถุบุท ุถุบุท ุจุชุบูŠุฑ ุดูƒู„ู‡ ุตุญุŸ ุณูŠูƒุงู†ุฏุฑ
1468
+
1469
+ 368
1470
+ 00:33:10,290 --> 00:33:14,330
1471
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ู‡ูˆ ู…ุฌุฒ ุงูŠุด ูƒู‡ุฑุจุง ู…ู…ูƒู† ู†ุญุท string gauge
1472
+
1473
+ 369
1474
+ 00:33:14,330 --> 00:33:21,090
1475
+ ูŠุนู†ูŠ ุงู„ range ุงู„ู„ูŠ ุดุบุงู„ ุนู„ูŠู‡ ุงู„ diaphragm ูŠูƒูˆู†
1476
+
1477
+ 370
1478
+ 00:33:21,090 --> 00:33:27,200
1479
+ matching ู…ุน ุงู„ range ุงู„ุชุน ุงู„ string gaugeูŠุนู†ูŠ ุจุฏูŠุด
1480
+
1481
+ 371
1482
+ 00:33:27,200 --> 00:33:30,140
1483
+ ูˆุงู„ู„ู‡ ุงู†ุง ุงู„ string .. ุงู„ diaphragm ุจูŠุนู…ู„ู„ูŠ string
1484
+
1485
+ 372
1486
+ 00:33:30,140 --> 00:33:35,780
1487
+ .. ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ string ู…ุซู„ุง point ูˆุงุญุฏ ู„ูƒู† ุงู„
1488
+
1489
+ 373
1490
+ 00:33:35,780 --> 00:33:38,220
1491
+ string gauge ุจูŠุนุทูŠู†ูŠ point ุงูˆ ูˆุงุญุฏ ุงู„ range ุจุชุงุนู‡
1492
+
1493
+ 374
1494
+ 00:33:38,220 --> 00:33:42,580
1495
+ maximum ูุจุฏูŠูƒูˆู† matching ุจูŠู† ุงู„ primary ุงู„
1496
+
1497
+ 375
1498
+ 00:33:42,580 --> 00:33:46,860
1499
+ transducer ุงู„ู„ูŠ ู‡ูˆ ุงู„ diaphragm ูˆ ุงู„ range ุจุชุงุน ุงู„
1500
+
1501
+ 376
1502
+ 00:33:46,860 --> 00:33:49,000
1503
+ secondary ุงู„ transducer ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนุทูŠู†ุง ุงู„ signal
1504
+
1505
+ 377
1506
+ 00:33:49,000 --> 00:33:50,460
1507
+ ุงู„ู†ู‡ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู†ุง ุจู‚ูŠุณู‡ุง
1508
+
1509
+ 378
1510
+ 00:33:53,250 --> 00:33:55,830
1511
+ ุงู„ู€ nature frequency ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู…
1512
+
1513
+ 379
1514
+ 00:33:55,830 --> 00:33:57,710
1515
+ should be sufficiently high to provide
1516
+
1517
+ 380
1518
+ 00:33:57,710 --> 00:34:00,670
1519
+ satisfactory frequency response ู„ุงุฒู… ุงู„ุชุฑุฏุฏ
1520
+
1521
+ 381
1522
+ 00:34:00,670 --> 00:34:08,070
1523
+ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† ุนุงู„ูŠ ูƒุชูŠุฑ ู‡ุฐุง ุทุจุนุง ุงู„ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ ูƒุชูŠุฑ
1524
+
1525
+ 382
1526
+ 00:34:08,070 --> 00:34:11,230
1527
+ ููŠ ุญุงู„ุฉ ุงุฐุง ุนู†ุฏูƒ dynamic pressure change ุงูŠุด ูŠุนู†ูŠ
1528
+
1529
+ 383
1530
+ 00:34:11,230 --> 00:34:15,670
1531
+ dynamic pressure change ูŠุนู†ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท ุจุชุบูŠุฑ ูƒุชูŠุฑ
1532
+
1533
+ 384
1534
+ 00:34:15,670 --> 00:34:24,350
1535
+ ุจุชุบูŠุฑ ูƒุชูŠุฑ ูˆุจุดูƒู„ ุณุฑูŠุน ุงุฐุง ูƒุงู† ุชุฑุฏุฏ ู…ุตุฏุฑ ุงู„ุถุบุทูƒุงู†
1536
+
1537
+ 385
1538
+ 00:34:24,350 --> 00:34:30,350
1539
+ ู‚ุฑูŠุจ ุงูˆ ุจูŠุณุงูˆูŠ ุงู„ nature frequency ุงูˆู„ .. ุงูˆู„
1540
+
1541
+ 386
1542
+ 00:34:30,350 --> 00:34:34,510
1543
+ nature frequency ู„ู„ .. ู„ู„ diaphragm ุจูŠุตูŠุฑ ู…ุง ูŠุณู…ู‰
1544
+
1545
+ 387
1546
+ 00:34:34,510 --> 00:34:41,070
1547
+ ุนู†ุฏูŠ ุธุงู‡ุฑุฉ ุงู„ุฑู†ูŠู† ู„ู…ุง ุงู„ nature frequency ูŠุนู†ูŠ ุงู„
1548
+
1549
+ 388
1550
+ 00:34:41,070 --> 00:34:46,290
1551
+ .. ุงู„ .. ุงู„ external ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:34:46,290 --> 00:34:54,770
1555
+ ู‡ูˆ ุงู„ omega ุชุฑุฏุฏ ู„ู„ู…ุตุฏุฑ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุทุจูŠูƒูˆู†
1556
+
1557
+ 390
1558
+ 00:34:54,770 --> 00:34:59,730
1559
+ ุชู‚ุฑูŠุจุง ูŠุณุงูˆูŠ ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู… ุจูŠุตูŠุฑ ุนู†ุฏ
1560
+
1561
+ 391
1562
+ 00:34:59,730 --> 00:35:05,550
1563
+ ุงูŠู‡ ุงุดุŸ ุจูŠุตูŠุฑ ุนู†ุฏ ูˆ ุงู„ุถุบุท ุจุชุบูŠุฑ ุจูŠุตูŠุฑ ุนู†ุฏ ุงู„
1564
+
1565
+ 392
1566
+ 00:35:05,550 --> 00:35:08,390
1567
+ amplitude ุจูŠุตูŠุฑ ูŠุชุตุฑู ุจุดูƒู„ ุฌู†ูˆู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1568
+
1569
+ 393
1570
+ 00:35:08,390 --> 00:35:11,370
1571
+ diaphragm ุจูŠุตูŠุฑ ูŠุทู„ุน ูŠุตูŠุฑ ูŠุจู‚ู‰ ูŠุนู…ู„ deflections
1572
+
1573
+ 394
1574
+ 00:35:11,370 --> 00:35:15,110
1575
+ high deflections ุจูŠุตูŠุฑ ุงู„ amplitude ุงู„ amplitude
1576
+
1577
+ 395
1578
+ 00:35:15,110 --> 00:35:19,270
1579
+ of
1580
+
1581
+ 396
1582
+ 00:35:19,270 --> 00:35:20,370
1583
+ diaphragm
1584
+
1585
+ 397
1586
+ 00:35:26,470 --> 00:35:31,910
1587
+ deflection is getting too
1588
+
1589
+ 398
1590
+ 00:35:31,910 --> 00:35:35,970
1591
+ high ู…ู…ูƒู†
1592
+
1593
+ 399
1594
+ 00:35:35,970 --> 00:35:39,830
1595
+ ูŠุนู…ู„ failure ู„ู„ุฌู‡ุงุฒ
1596
+
1597
+ 400
1598
+ 00:35:39,830 --> 00:35:49,730
1599
+ ุงุฐุง ูƒู†ุช ุทุงู„ุน ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ resonance ู‚ุดุนูˆุง
1600
+
1601
+ 401
1602
+ 00:35:49,730 --> 00:35:54,140
1603
+ ุนู„ู‰ ูŠูˆุชูŠูˆุจ ุงูƒุชุจูˆุง resonanceู‡ุชุดูˆููˆุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
1604
+
1605
+ 402
1606
+ 00:35:54,140 --> 00:35:56,640
1607
+ ุนู†ุฏูƒูˆุง ุงู„ gesture ููŠ American Heart ุจุณุจุจ ุงู„ู…ุดูƒู„ุฉ
1608
+
1609
+ 403
1610
+ 00:35:56,640 --> 00:36:00,420
1611
+ ู‡ุฐู‡ ูŠุนู†ูŠ ููŠ ูƒุฐุง ููŠุฏูŠูˆ ู‡ุชุดูˆููˆุง ุนู† ู…ูˆุถูˆุน ุงู„
1612
+
1613
+ 404
1614
+ 00:36:00,420 --> 00:36:06,040
1615
+ resonance ุงู†ุช
1616
+
1617
+ 405
1618
+ 00:36:06,040 --> 00:36:09,640
1619
+ ู…ุง ู‡ูˆ ุงู†ุช ุงุดููŠ ุนู†ุฏูƒ .. ุนู†ุฏูƒ ุงูŠ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง .. ุงูŠ
1620
+
1621
+ 406
1622
+ 00:36:09,640 --> 00:36:11,980
1623
+ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ุงู†ุช ุญุชู‰
1624
+
1625
+ 407
1626
+ 00:36:11,980 --> 00:36:17,260
1627
+ ุฌุณู…ูƒ ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ู‡ุชู‚ูˆู„ู‡ infinite
1628
+
1629
+ 408
1630
+ 00:36:17,260 --> 00:36:22,080
1631
+ number of .. infinite number of frequenciesุงู„ุงู†
1632
+
1633
+ 409
1634
+ 00:36:22,080 --> 00:36:27,320
1635
+ ุงู‚ู„ frequency ุงู„ู„ูŠ ู‡ูˆ Omega 1 ูˆ Omega 2 ูˆ Omega 3
1636
+
1637
+ 410
1638
+ 00:36:27,320 --> 00:36:31,740
1639
+ ุทุจุนุง ู…ุซู„ุง ุงุฐุง Omega 1 ู…ุซู„ุง ุงู„ู ู‡ูŠุฑุฏุฒ Omega 2 ุจุชูƒูˆู†
1640
+
1641
+ 411
1642
+ 00:36:31,740 --> 00:36:35,980
1643
+ ู…ุด ุงู„ููŠู† ุจุชูƒูˆู† ู…ุซู„ุง ุนุดุฑ ุชู„ุงู ุงุฐุง Omega ุงุชู†ูŠู† ุนุดุฑ
1644
+
1645
+ 412
1646
+ 00:36:35,980 --> 00:36:39,900
1647
+ ุชู„ุงู Omega ุชู„ุงุชู‡ ุจุชูƒูˆู† ู…ุซู„ุง ู…ู„ูŠูˆู† ูˆู„ุง ุนุดุฑุฉ ู…ู„ูŠูˆู†
1648
+
1649
+ 413
1650
+ 00:36:39,900 --> 00:36:44,250
1651
+ ูŠุนู†ูŠ ุงู„ูุฑู‚ ุจูŠู† Omega 1 ูˆ Omega 2ุจูŠู† omega 2 ูˆ
1652
+
1653
+ 414
1654
+ 00:36:44,250 --> 00:36:49,090
1655
+ omega 1 ุจูŠูƒูˆู† ูƒุจูŠุฑ ุจูŠู† omega 3 ูˆ omega 2 ูƒุจูŠุฑ ูƒุชูŠุฑ
1656
+
1657
+ 415
1658
+ 00:36:49,090 --> 00:36:54,070
1659
+ ูˆู‡ูƒุฐุง ุจุฒูŠุฏ ุงู„ูุฑู‚ ูุนุงุฏุฉ ุงู†ุช ุจุฏู‡ ุชูƒูˆู† below ุงู„ first
1660
+
1661
+ 416
1662
+ 00:36:54,070 --> 00:36:56,290
1663
+ natural frequency ูŠุนู†ูŠ ุงู†ุช ุงูŠุด ู…ุชุณุงูˆูŠุŸ ูŠุง ุงู…ุง
1664
+
1665
+ 417
1666
+ 00:36:56,290 --> 00:36:59,550
1667
+ ุจุชูƒูˆู† below ุงู„ first natural frequency ุงูˆ ุงู„
1668
+
1669
+ 418
1670
+ 00:36:59,550 --> 00:37:03,370
1671
+ fundamental frequency ุงูˆ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุณ ุนุดุงู†
1672
+
1673
+ 419
1674
+ 00:37:03,370 --> 00:37:07,050
1675
+ ุชุตุนุฏ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุฏูƒ ุณุฑุนุงุช ุนุงู„ูŠุฉ ุฌุฏุง ุฌุฏุง ุฌุฏุง
1676
+
1677
+ 420
1678
+ 00:37:07,050 --> 00:37:11,780
1679
+ ุชุญูƒูŠ ุจุงู„ .. ุจุงู„ ุฌูŠุฌุงู‡ุฑุชุฒ ุงูˆ ุงู„ megahertzุนุงุฏุฉ ุจุชูƒูˆู†
1680
+
1681
+ 421
1682
+ 00:37:11,780 --> 00:37:15,440
1683
+ ุฃู‚ู„ ุงู„ resonance ู‡ุฐู‡ ู…ุดูƒู„ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ machines
1684
+
1685
+ 422
1686
+ 00:37:15,440 --> 00:37:18,940
1687
+ ุจุชุธู‡ุฑ
1688
+
1689
+ 423
1690
+ 00:37:18,940 --> 00:37:25,040
1691
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุตุญ ุชุฎุดูˆุง ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ูˆุฏูˆุฑูˆุง ู‡ุชุดูˆููˆุง
1692
+
1693
+ 424
1694
+ 00:37:25,040 --> 00:37:28,020
1695
+ ูŠุนู†ูŠ ุนุดุฑุงุช ููŠุฏูŠูˆู‡ุงุช ุนู† ู…ุดุงูƒู„ ููŠ ุงู„ resonance ู…ุงู†ุง
1696
+
1697
+ 425
1698
+ 00:37:28,020 --> 00:37:33,560
1699
+ ู‚ุฑุฃู‡ ุจุงู„ gas turbine ู‡ุฐุง ููŠู‡ ู‡ูˆ ู‚ุฑุงุฏุฉ ู…ุนูŠู†ุฉ ู„ู‡
1700
+
1701
+ 426
1702
+ 00:37:35,110 --> 00:37:38,210
1703
+ ุงู„ุชุฑุจูŠู†ุฉ ุจูŠุณู…ูˆู‡ุง ุญุงุฌุฉ ุชุดุฎุฑุŒ ุดุฎูŠุฑ ุจูŠุณู…ูˆู‡ุงุŒ ุจูŠุทู„ุตูˆุง
1704
+
1705
+ 427
1706
+ 00:37:38,210 --> 00:37:40,210
1707
+ ุฎุงุฑุฌ ุงู„ุชุฑุจูŠู†ุฉ ูˆ ู‡ู… ุจู‚ู‰ ู†ุทู‚ูˆุงุŒ ุจุชุฌุงูˆุฒูˆุง ุงู„ู…ุฑุญู„ุฉ ุฏู‡ุŒ
1708
+
1709
+ 428
1710
+ 00:37:40,210 --> 00:37:44,790
1711
+ ู‡ู… ุจูŠุญุจูˆุง ุชูƒุดู .. ุงูŠูˆุฉุŒ ูŠุง ุณูŠ ๏ฟฝ๏ฟฝุฑุงู‡ุงุŒ ูŠุง ุชุญุชู‡ุงุŒ ูŠุง
1712
+
1713
+ 429
1714
+ 00:37:44,790 --> 00:37:48,450
1715
+ ุชุญุชู‡ุง ุจูƒุชูŠุฑุŒ ุงู‚ู„ุด ุงู„ุนุดุฑุŒ ุงู„ frequency ุงู„ุฎุงุฑุฌูŠ
1716
+
1717
+ 430
1718
+ 00:37:48,450 --> 00:37:52,710
1719
+ ุจูŠูƒูˆู† ูˆุงุญุฏ ุนู„ู‰ ุนุดุฑูŠู†ุŒ ู…ุด ุงู„ุนุดุฑุŒ ุชู‚ุฑูŠุจุงุŒ ุนุดุงู† ุงู†ู‡ู…
1720
+
1721
+ 431
1722
+ 00:37:52,710 --> 00:37:56,970
1723
+ ุตูˆุฑุฉ ุงู„ุชุฑุจูŠู†ุฉ ุจุดูƒู„ ุนุงู„ูŠ ูƒุซูŠุฑุŒ ุงูŠูˆุฉุŒ ูุงู„ุชุฑุจูŠู†ุฉ ุนุงุฏุฉ
1724
+
1725
+ 432
1726
+ 00:37:56,970 --> 00:37:59,750
1727
+ ุจุชูƒูˆู† ุชุญุช ุงู„ nature frequencyุŒ ู„ุฃู† ู‡ูˆ ุจูŠูƒูˆู† ู…ู† ุดูƒู„
1728
+
1729
+ 433
1730
+ 00:37:59,750 --> 00:38:03,170
1731
+ ุงู„ .. ุงู„ .. ูŠุนู†ูŠ ุงู„ .. ุงู„ nature frequency ุจูŠุชู…ุฏ
1732
+
1733
+ 434
1734
+ 00:38:03,170 --> 00:38:07,990
1735
+ ุนู„ู‰ ุงู„ geometryู„ู„ .. ู„ุฃูŠ ุฌุณู… ุงู„ geometry ุจุชุงุนุชู‡
1736
+
1737
+ 435
1738
+ 00:38:07,990 --> 00:38:13,130
1739
+ ูˆุงู„ material ุจุชุงุนุชู‡ ุจุชุชู…ุฏ ุนู„ู‰ ุงู„ุชู†ุชูŠู† ู…ุซู„ุง ูƒุฏู‡ ุงู„
1740
+
1741
+ 436
1742
+ 00:38:13,130 --> 00:38:16,550
1743
+ diaphragm ุจูŠู‚ุฏุฑ ูŠุชุญู…ู„ ุงู„ุชุฑุฏุฏ ุงู„ุนุงู„ูŠ ูƒุฏู‡ ุชู‚ูˆู„ ุงู†ูƒ
1744
+
1745
+ 437
1746
+ 00:38:16,550 --> 00:38:19,830
1747
+ ุฌุงูŠุฉ ู…ู† ุงู„ุฎุถุฑ ุงุณู…ู‡ ุงู„ุชุฑุฏุฏ ุฃุฌุงู„ูƒุŸ ู„ุฃ ุนุงุฏุฉ ุจุชูƒูˆู† ู„ุฃ
1748
+
1749
+ 438
1750
+ 00:38:19,830 --> 00:38:22,570
1751
+ ุจุชูƒูˆู† ุจ low natural frequency ูŠุนู†ูŠ ููŠ ุงู„ุนุงุฏุฉ ุจุชูƒูˆู†
1752
+
1753
+ 439
1754
+ 00:38:22,570 --> 00:38:25,830
1755
+ ุฃุฌุงู„ูƒ ู…ุงุฎุฏุด ุงู„ุฃุนู„ู‰ ู„ุฃ ู„ุฃู†ู‡ุง ู‡ุชุฎุด ูุฑู†ุฌุงุช ุนุงู„ูŠุฉ ูƒุชูŠุฑ
1756
+
1757
+ 440
1758
+ 00:38:25,830 --> 00:38:29,990
1759
+ ูƒุชูŠุฑ ูƒุชูŠุฑ ู…ุด ู‡ุชู‚ุฏุฑ ุนู…ู„ูŠู† ุชุนู…ู„ู‡ุง ุงู‡ ุจุงู„ู†ุณุจุฉ ู„ู„
1760
+
1761
+ 441
1762
+ 00:38:29,990 --> 00:38:33,510
1763
+ flexibility ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠู†ุง ุงู„ู…ุนุฏุฏ is flexible
1764
+
1765
+ 442
1766
+ 00:38:33,510 --> 00:38:37,630
1767
+ ุงู„ู…ุนุฏุฏูู‰ ุทุจุนุง ูู‰ ู…ู‚ุนุฏูŠู† flexible flexible ูˆ linear
1768
+
1769
+ 443
1770
+ 00:38:37,630 --> 00:38:42,530
1771
+ ู…ู‚ุนุฏูŠู† flexible ูุชุชุญูƒู… ููŠู‡ุง ููŠุงุด ูƒู…ุงู† ุจุงู„
1772
+
1773
+ 444
1774
+ 00:38:42,530 --> 00:38:53,650
1775
+ thickness ุณู…ุงูƒุฉ ู„ุฅู†ู‡ ุงู†ุง ุนู†ุฏู‰ ู„ูˆ ุฃุฎุฏู†ุง ุจุงุฑ ู…ู‚ุทุน
1776
+
1777
+ 445
1778
+ 00:38:53,650 --> 00:38:59,930
1779
+ ุงูŠู‡ ุนู„ูŠู‡ force Fูˆ ุฃู†ุง ููŠ ุงู„ู€ elastic region ุงู„ู€
1780
+
1781
+ 446
1782
+ 00:38:59,930 --> 00:39:03,470
1783
+ sigma ุจุชุงุนุชู‡ ุงู„ stress ู…ุด ู‡ุชูƒูˆู† ุณุงูˆูŠ ุจุงู„ุณูˆุงุก F ุนู„ู‰
1784
+
1785
+ 447
1786
+ 00:39:03,470 --> 00:39:12,990
1787
+ A ุจุงู„ุณูˆุงุก E ููŠ ุฃุจุณู„ูˆู† ูŠุนู†ูŠ
1788
+
1789
+ 448
1790
+ 00:39:12,990 --> 00:39:17,630
1791
+ F ุนู„ู‰ A ุจุงู„ุณูˆุงุก E ุฃุจุณู„ูˆู† ู‡ูŠ ุนุจุงุฑุฉ ุนู† Delta
1792
+
1793
+ 449
1794
+ 00:39:17,630 --> 00:39:20,130
1795
+ Deflection ุนู„ู‰ L
1796
+
1797
+ 450
1798
+ 00:39:25,890 --> 00:39:36,790
1799
+ ูŠุนู†ูŠ ุงู„ F ู‡ุชูƒูˆู† ุชุณุงูˆูŠ A A ุนู„ู‰ N ููŠ Delta ู„ูˆ
1800
+
1801
+ 451
1802
+ 00:39:36,790 --> 00:39:42,610
1803
+ ุนู†ุฏู‰ ุฒู…ุจุฑูƒ ุนู„ุงู‚ุฉ ุงู„ extension ู…ุน ุงู„ force ุฒู…ุจุฑูƒ F
1804
+
1805
+ 452
1806
+ 00:39:42,610 --> 00:39:51,640
1807
+ ุจูŠุณุงูˆูŠ ุงูŠุดุŸ K ููŠ X ูŠุนู†ูŠ ู„ูˆ ู‡ุฏ ุญูƒูŠุช ู‡ุฏ F ู‡ุฏ Xู‡ุฐุง
1808
+
1809
+ 453
1810
+ 00:39:51,640 --> 00:39:57,200
1811
+ ุงูŠุด ู‡ุชูƒูˆู†ุŸ K ูุง ูƒู†ุง ู†ุนุชุจุฑู‡ ุงู†ุง ุฒู†ุจุฑูƒ ุงู†ู‡ .. ู‡ุฐุง ู‡ูˆ
1812
+
1813
+ 454
1814
+ 00:39:57,200 --> 00:40:05,200
1815
+ ูุนู„ุง ุฒู†ุจุฑูƒ K ุจุชุงุนุชู‡ ุจุงู„ุณูˆุงุก A E ุนู„ู‰ L ุจู†ูุณ ุงู„ุณูŠุงู‚
1816
+
1817
+ 455
1818
+ 00:40:05,200 --> 00:40:11,720
1819
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ membrane ู‡ุชูƒูˆู†ู„ู‡ .. ุฅู„ู‡ K ุงู„ K ุจูŠุชู…ุฏ
1820
+
1821
+ 456
1822
+ 00:40:11,720 --> 00:40:19,640
1823
+ ุนู„ู‰ ุงู„ geometry ู‡ุฐู‡ ุงู„ geometryูˆ ุงู„ material ุงู„ a
1824
+
1825
+ 457
1826
+ 00:40:19,640 --> 00:40:23,120
1827
+ ุงู„ู„ูŠ ู‡ูŠ modulus of elasticity ูŠุนู†ูŠ ุงู„ a ู…ู…ูƒู† ูŠุนุจุฑ
1828
+
1829
+ 458
1830
+ 00:40:23,120 --> 00:40:27,320
1831
+ ุนู† ุฒู…ุจุฑุงูƒูŠุฉ ุงู„ู…ุงุฏุฉ how stiff a spring the material
1832
+
1833
+ 459
1834
+ 00:40:27,320 --> 00:40:31,320
1835
+ is ู…ู…ูƒู† ุฅุฐุง ุงู„ material too stiff ูุงู†ุช ุชุจู‚ู‰ ุนู†ู‡
1836
+
1837
+ 460
1838
+ 00:40:31,320 --> 00:40:34,900
1839
+ ุฒู…ุจุฑุฉ ู‚ูˆ ุฌุฏุง .. ู‚ูˆ ุฌุฏุง ุจุณ ู„ูƒู† ู„ูŠุณ ูู‚ุท .. ู„ูŠุณ ูู‚ุท
1840
+
1841
+ 461
1842
+ 00:40:34,900 --> 00:40:38,580
1843
+ ุงู„ material ุงู„ material ุฃุญุฏ ุงู„ู…ุคุซุฑุงุชุŒ ู…ุคุซุฑุงุช ุชุงู†ูŠุฉ
1844
+
1845
+ 462
1846
+ 00:40:38,580 --> 00:40:43,430
1847
+ ุฃูŠุดุŸุงู„ุฌูŠูˆู…ุชุฑูŠ ุงู„ู€ cross-sectional area ุงูˆ ุงู„ู„ูŠ ู‡ูŠ
1848
+
1849
+ 463
1850
+ 00:40:43,430 --> 00:40:48,430
1851
+ ุทุจุนุง ู„ุฑุฏ ู„ flat plate ุจุฎุชู„ู ุจุงู„ู„ูŠ ุงู„ู„ูŠ ู„ู‡ equation
1852
+
1853
+ 464
1854
+ 00:40:48,430 --> 00:40:52,810
1855
+ ุชุงู†ูŠุฉ ุจุณ ู‡ุงูŠ ุงู„ principle ุจุชุญูˆู„ ุงู„ู„ูŠ ูŠู„ู‚ู‰ ุจูŠู† ุงู„
1856
+
1857
+ 465
1858
+ 00:40:52,810 --> 00:40:57,310
1859
+ deflection ูˆ ุงู„ force ุจุงู„ุดูƒู„ ู‡ุฐุง ู‡ูŠ F ูˆ Delta ูˆ
1860
+
1861
+ 466
1862
+ 00:40:57,310 --> 00:41:01,050
1863
+ ุจูŠุทู„ุน ุนู†ุฏูƒ some term ุจุฎุชู„ู ููŠ ุงู„ plate ู‡ูˆ ุทุจุนุง
1864
+
1865
+ 467
1866
+ 00:41:01,050 --> 00:41:03,130
1867
+ ูŠู…ุซู„ุนุด ุงู„ spring constant
1868
+
1869
+ 468
1870
+ 00:41:12,560 --> 00:41:17,440
1871
+ ุทุจุนุง deflection of flat plate
1872
+
1873
+ 469
1874
+ 00:41:17,440 --> 00:41:23,360
1875
+ diaphragm ูŠุนู†ูŠ
1876
+
1877
+ 470
1878
+ 00:41:23,360 --> 00:41:30,900
1879
+ ู…ุด ู…ุณู…ูˆุญ ู„ูƒ ุชุชุฌุงูˆุฒ ุญุฏ ู…ุนูŠู† ู…ู† ุงู„ stress ูŠุนู†ูŠ ู…ุด
1880
+
1881
+ 471
1882
+ 00:41:30,900 --> 00:41:35,280
1883
+ ู…ุณู…ูˆุญ ู„ูƒ ุจุจุณุงุทุฉ ุชุฏุฎู„ ุงู„ plastic range ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ
1884
+
1885
+ 472
1886
+ 00:41:35,280 --> 00:41:39,400
1887
+ ู‡ุฐุง ู…ุตู…ู… ูŠู‚ูŠุณ ุงู„ุถุบุท ู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุงุจุงุณูƒุงู„ ุฅุฐุง ุญุทูŠุช
1888
+
1889
+ 473
1890
+ 00:41:39,400 --> 00:41:43,720
1891
+ pressure ู…ุงุฆุชูŠู† ู…ูŠุฌุงุจุงุณูƒุงู„ุนุงู„ุฃุบู„ุจ ู‡ุตูŠุฑ out of
1892
+
1893
+ 474
1894
+ 00:41:43,720 --> 00:41:47,100
1895
+ range ูŠุนู†ูŠ ุฏู‡ ู…ุนู†ุงุชู‡ ุฏุฎู„ุช ุฏุฎู„ุช ููŠ ุงู„ plastic range
1896
+
1897
+ 475
1898
+ 00:41:47,100 --> 00:41:52,920
1899
+ ุงู„ู„ูŠ ู„ูŠู…ุช ู…ุนูŠู† ุทุจุนุง as a general rule ุงู„ max
1900
+
1901
+ 476
1902
+ 00:41:52,920 --> 00:41:56,080
1903
+ deflection ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1904
+
1905
+ 477
1906
+ 00:41:56,080 --> 00:42:03,500
1907
+ ุงู„ deflection ููŠ ุงู„ membrane ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุงูˆ ูŠูƒูˆู†
1908
+
1909
+ 478
1910
+ 00:42:03,500 --> 00:42:07,710
1911
+ ููŠ ุญุฏูˆุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ุฏุงุฆูุฑุงู†ุจูƒูˆู†
1912
+
1913
+ 479
1914
+ 00:42:07,710 --> 00:42:15,530
1915
+ ุชู„ุงุชูŠู† ูุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ diaphragm ู‡ุฐุง as a
1916
+
1917
+ 480
1918
+ 00:42:15,530 --> 00:42:19,170
1919
+ general rule ุทุจุนุง ู‡ุฐุง general rule ุจูŠุถู…ู†ู„ูŠ ุจูŠุถู…ู†ู„ูŠ
1920
+
1921
+ 481
1922
+ 00:42:19,170 --> 00:42:22,450
1923
+ ุงู† ุงู†ุง ุงุถุงู„ู†ูŠ ููŠ ุงู„ elastic region ู…ุงุฏุฎู„ุด ุงู„
1924
+
1925
+ 482
1926
+ 00:42:22,450 --> 00:42:28,550
1927
+ plastic region ุทูŠุจ
1928
+
1929
+ 483
1930
+ 00:42:28,550 --> 00:42:31,230
1931
+ ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ strain gauges
1932
+
1933
+ 484
1934
+ 00:42:37,470 --> 00:42:42,590
1935
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ strain gauge pressure
1936
+
1937
+ 485
1938
+ 00:42:42,590 --> 00:42:50,210
1939
+ cells ููƒุฑุชู‡ุง
1940
+
1941
+ 486
1942
+ 00:42:50,210 --> 00:42:57,450
1943
+ ููƒุฑุฉ ุงู„ strain gauge pressure cells ุทูŠุจ
1944
+
1945
+ 487
1946
+ 00:42:57,450 --> 00:43:06,150
1947
+ ุจุณ ู„ู„ุฃู„ู… ู…ุด ู‡ุทู„ุจ ู…ู†ูƒู… ุฅุฐุง ูƒู†ุชูˆุง ู‚ุตุทูˆุงู†ุฉ ุฌูˆุงุชู‡ุง ุถุบุท
1948
+
1949
+ 488
1950
+ 00:43:07,170 --> 00:43:09,610
1951
+ ููŠู‡ ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ููŠู‡ ุถุบุท ู…ู† ุจุฑุง ุงุญู†ุง ุญุงู„ุชู†ุง ู‡ูŠูƒูˆู†
1952
+
1953
+ 489
1954
+ 00:43:09,610 --> 00:43:15,630
1955
+ ุถุบุท ุฅูŠุดุŸ ู…ู† ุฌูˆู‡ุŒ ูŠุนู†ูŠ ุถุบุท ุฎุงุฑุฌ ุดูˆ ูŠุณุงูˆูŠุŸ zero ุฅุฐุง
1956
+
1957
+ 490
1958
+ 00:43:15,630 --> 00:43:20,050
1959
+ ูƒุงู† ุถุบุท ุฎุงุฑุฌ ุงู„ zero in general case in general
1960
+
1961
+ 491
1962
+ 00:43:20,050 --> 00:43:23,770
1963
+ case ุจูŠูƒูˆู† ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ุถุบุท ู…ู† ุจุฑุง ุถุบุท ู…ู† ุฌูˆู‡ ูˆ
1964
+
1965
+ 492
1966
+ 00:43:23,770 --> 00:43:27,050
1967
+ ุถุบุท ู…ู† ุจุฑุง ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุถุบุท ุจูŠุตูŠุฑ ุนู†ุฏูŠ tangential
1968
+
1969
+ 493
1970
+ 00:43:27,050 --> 00:43:30,770
1971
+ ููŠ ุงู„ .. ูŠุนู†ูŠ ุนู†ุฏูŠ high radius ุฏุงุฎู„ ูˆ high radius
1972
+
1973
+ 494
1974
+ 00:43:30,770 --> 00:43:35,770
1975
+ ุฎุงุฑุฌูŠ ุจูŠุตูŠุฑ .. ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress tangential
1976
+
1977
+ 495
1978
+ 00:43:37,330 --> 00:43:43,370
1979
+ ูˆ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ radial stress radial stress ุงุญู†ุง
1980
+
1981
+ 496
1982
+ 00:43:43,370 --> 00:43:46,250
1983
+ ุจูŠุจู‚ู‰ ู…ู† ุงู„ tangential stress ู‡ุฐูŠ ุนู„ุงู‚ุฉ ุงู„ุชู†ุฌูŠุด ุงู„
1984
+
1985
+ 497
1986
+ 00:43:46,250 --> 00:43:50,130
1987
+ stress ูˆ ู‡ุฐู‡ ุนู„ุงู‚ุฉ ุงู„ radial stress ูุงู†ุง ููŠ ุงู†ุฏูŠ
1988
+
1989
+ 498
1990
+ 00:43:50,130 --> 00:43:52,310
1991
+ two pressures pressure from inside pressure from
1992
+
1993
+ 499
1994
+ 00:43:52,310 --> 00:43:54,970
1995
+ outside ููŠ ุญุงู„ุชู†ุง ู‡ูƒูˆู† pressure from outside ุงูŠุด
1996
+
1997
+ 500
1998
+ 00:43:54,970 --> 00:44:00,050
1999
+ ู…ุนู„ูˆู…ุฉุŸ zero ุงู„ู…ุนุงุฏู„ุฉ ููŠ ุงู„ุญุงู„ุฉ ุฏู‡ ุชุชุจุณุท ุจูŠุตูŠุฑ
2000
+
2001
+ 501
2002
+ 00:44:00,050 --> 00:44:03,190
2003
+ ุจุงู„ุดูƒู„ ู‡ุฐุง tangential stress ุงู„ุชู†ุฌูŠุด ุงู„ stress
2004
+
2005
+ 502
2006
+ 00:44:03,190 --> 00:44:06,910
2007
+ ุจูŠูƒูˆู† high distribution ุชุจุนู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง
2008
+
2009
+ 503
2010
+ 00:44:11,200 --> 00:44:14,960
2011
+ ุจูŠูƒูˆู† maximum ู‡ู†ุง tangential stress ูˆ minimum ุจุฑุง
2012
+
2013
+ 504
2014
+ 00:44:14,960 --> 00:44:24,320
2015
+ ุงู„ radial stress ุจูŠูƒูˆู† maximum ุฌูˆุง ูˆ ุจุฑุง ุณูุฑ zero
2016
+
2017
+ 505
2018
+ 00:44:24,320 --> 00:44:29,980
2019
+ ู…ุงููŠุด radial stress ูู„ู…ุง ุงู†ุง ุงุญุท ุงุฏูŠุจ ุณุทูˆุนู†ุง ูŠุนู†ูŠ
2020
+
2021
+ 506
2022
+ 00:44:29,980 --> 00:44:34,580
2023
+ ุงู„ููƒุฑุฉ ุงู†ู‡ ุงู†ุง ููŠ ุถุบุท ุงู„ุถุบุท ุจุนู…ู„ stresses ุงู†ุง ุจู‡ู…
2024
+
2025
+ 507
2026
+ 00:44:34,580 --> 00:44:38,020
2027
+ ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุน ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุจูŠูƒูˆู†
2028
+
2029
+ 508
2030
+ 00:44:38,020 --> 00:44:42,790
2031
+ ููŠ tangential stressูˆ ู„ุง ูŠูˆุฌุฏ ุฑุงุฏูŠูˆ ู„ู„ุถุบุท ุฅุฐุง ู„ู…
2032
+
2033
+ 509
2034
+ 00:44:42,790 --> 00:44:49,930
2035
+ ุชุณุชุฌูŠุจ ุงู„ุถุบุท ู…ุงุฐุง ุณูŠุญุฏุซุŸ ุณูŠุชู…ุฏุฏ ุงู„ุถุบุท ุฅุฐุง ุฑูƒู‘ุจุช
2036
+
2037
+ 510
2038
+ 00:44:49,930 --> 00:44:57,030
2039
+ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ู„ุฃู†
2040
+
2041
+ 511
2042
+ 00:44:57,030 --> 00:45:04,310
2043
+ ุงุฑุชูุน ุงู„ุถุบุท ุณูŠุชู…ุฏุฏ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ุชุชุบูŠุฑ ู…ุงุฐุงุŸ ุชุชุบูŠุฑ
2044
+
2045
+ 512
2046
+ 00:45:04,310 --> 00:45:04,570
2047
+ ู…ู‚ุงูˆู…ุชู‡
2048
+
2049
+ 513
2050
+ 00:45:07,370 --> 00:45:11,030
2051
+ ุชุชุบูŠุฑ ุงู„ resistance ุจู‚ูŠุณ ุงู„ resistance ูˆ ููŠ ุนู„ุงู‚ุฉ
2052
+
2053
+ 514
2054
+ 00:45:11,030 --> 00:45:15,170
2055
+ ุจูŠู† ุงู„ resistance ุนู„ุงู‚ุฉ ู†ุฑุฌุน ู„ุฌูˆู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
2056
+
2057
+ 515
2058
+ 00:45:15,170 --> 00:45:23,750
2059
+ delta R ู…ุน ุงู„ deflection ูˆ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน
2060
+
2061
+ 516
2062
+ 00:45:23,750 --> 00:45:28,450
2063
+ ุงูŠู‡ุŸ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma
2064
+
2065
+ 517
2066
+ 00:45:28,450 --> 00:45:34,030
2067
+ tangential ูˆ ุงู„ sigma tangential ุนู„ุงู‚ุฉ ููŠ ุงูŠู‡ุŸ ููŠ
2068
+
2069
+ 518
2070
+ 00:45:34,030 --> 00:45:40,980
2071
+ ุงู„ pressure ุงู„ู„ูŠ ู‡ูŠ ุงูŠู‡ุŸุนู† ุงู„ุณุทุญ ุงู„ุฎุงุฑุฌูŠ ุทุจุนุง ู‡ุฐุง
2072
+
2073
+ 519
2074
+ 00:45:40,980 --> 00:45:47,380
2075
+ ุฑ ุงูŠ ูˆ ู‡ุฐุง ุฑ ุงูˆ ุจูŠูƒูˆู† ุงู„ุงุฑ ุงูˆ ุจุงู„ุณุงูˆูŠ ุงูŠุด ุงู„ุงุฑ
2076
+
2077
+ 520
2078
+ 00:45:47,380 --> 00:45:50,260
2079
+ ุจูŠูƒูˆู† ุณุงูˆูŠ ุฑ ุงูˆ ูŠุนู†ูŠ ู‡ุฏุง ู‡ุชูƒูˆู† ุฑ ุงูˆ ุนู„ู‰ ุฑ ุงูˆ ุจูŠุตูŠุฑ
2080
+
2081
+ 521
2082
+ 00:45:50,260 --> 00:45:53,300
2083
+ ูˆุงุญุฏ ุฒุงุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุจุชูƒูˆู† ุงู„ sigma tangential
2084
+
2085
+ 522
2086
+ 00:45:53,300 --> 00:46:01,900
2087
+ sigma tangential ุจุงู„ุณุงูˆูŠ ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงูŠ ุนู„ู‰ ุฑ ุงูˆ
2088
+
2089
+ 523
2090
+ 00:46:01,900 --> 00:46:11,990
2091
+ ุชุฑุจูŠุน minus ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงุชู†ูŠู† ููŠ ุงุชู†ูŠู†ู„ุญุธุฉ ุงู„ ุฑ
2092
+
2093
+ 524
2094
+ 00:46:11,990 --> 00:46:19,550
2095
+ ุงูŠ ูˆ ุงู„ ุฑ ุงูˆ ูˆ ุงู„ ุฑ ุงูŠ ุงูŠู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฏูˆู„ุŸ ุซูˆุงุจุชุŒ
2096
+
2097
+ 525
2098
+ 00:46:19,550 --> 00:46:25,850
2099
+ ุตุญุŸ ูˆ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุซุงู„ุซุŒ ู…ุนู†ุงุชู‡ ุงู„ sigma ุจุงู„ุณูˆุตุงู†
2100
+
2101
+ 526
2102
+ 00:46:25,850 --> 00:46:32,270
2103
+ constant ุณู…ูŠู‡ alpha ู…ุน ุงู„ pressure ูุงู„ุนู„ุงู‚ุฉ
2104
+
2105
+ 527
2106
+ 00:46:32,270 --> 00:46:35,990
2107
+ ุจูŠู† ุงู„ stress ูˆ ุงู„ pressure linear
2108
+
2109
+ 528
2110
+ 00:46:39,040 --> 00:46:43,120
2111
+ ูˆุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ strain ูˆ ุงู„ tangential ุจุฑุถู‡ ู‡ุชูƒูˆู†
2112
+
2113
+ 529
2114
+ 00:46:43,120 --> 00:46:46,800
2115
+ ุงุฐุง ุงู†ุง ููŠ ุงู„ elastic range ู‡ุชูƒูˆู† ุงูŠู‡ุŸ linear
2116
+
2117
+ 530
2118
+ 00:46:46,800 --> 00:46:54,960
2119
+ ู‡ุชูƒูˆู† sigma tangential ุณูˆุงุก E ููŠ delta ูŠุนู†ูŠ ุจุญุณ
2120
+
2121
+ 531
2122
+ 00:46:54,960 --> 00:47:02,200
2123
+ ุงู†ู‡ุง ุงูŠู‡ุŸ ุงู„ delta ุจุฑุฌุน ูˆ ุฑุฌูˆุน ูˆ ุงู„ delta ู…ุน delta
2124
+
2125
+ 532
2126
+ 00:47:02,200 --> 00:47:11,670
2127
+ R linear ูˆุงุถุญุŸ ููŠ ุงู„ุขุฎุฑุงู„ู€ Delta R ู…ุฑุชุจุทุฉ ู…ุน ุงู„
2128
+
2129
+ 533
2130
+ 00:47:11,670 --> 00:47:15,270
2131
+ input ุจุชุงุนู†ุง ุงู„ pressure ู…ุฏุฉ ุงู„ pressure ุชู†ุจุฌู†ุด ุงู„
2132
+
2133
+ 534
2134
+ 00:47:15,270 --> 00:47:20,710
2135
+ stress deflection ุงูˆ strain ุจุนุฏูŠู† change ุงู„
2136
+
2137
+ 535
2138
+ 00:47:20,710 --> 00:47:25,750
2139
+ resistance ูˆ I measure ุงู„ resistance ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ
2140
+
2141
+ 536
2142
+ 00:47:25,750 --> 00:47:29,550
2143
+ ู‡ูˆ ุงู„ููƒุฑุฉ
2144
+
2145
+ 537
2146
+ 00:47:29,550 --> 00:47:33,850
2147
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุน
2148
+
2149
+ 538
2150
+ 00:47:33,850 --> 00:47:34,490
2151
+ ุงู„ุชุงู†ูŠ ู…ู†
2152
+
2153
+ 539
2154
+ 00:48:12,200 --> 00:48:17,140
2155
+ ุทูŠุจ ู…ุนู†ุงู‡ ุชู‚ุฏุญุฉ ุงู„ููƒุฑุฉ ุฃุญุฏ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง
2156
+
2157
+ 540
2158
+ 00:48:17,140 --> 00:48:19,540
2159
+ pressure cell pressure cell pressure cell pressure
2160
+
2161
+ 541
2162
+ 00:48:19,540 --> 00:48:20,240
2163
+ cell pressure cell pressure cell pressure cell
2164
+
2165
+ 542
2166
+ 00:48:20,240 --> 00:48:21,860
2167
+ pressure cell pressure cell pressure cell pressure
2168
+
2169
+ 543
2170
+ 00:48:21,860 --> 00:48:22,480
2171
+ cell pressure cell pressure cell pressure cell
2172
+
2173
+ 544
2174
+ 00:48:22,480 --> 00:48:22,720
2175
+ pressure cell pressure cell pressure cell pressure
2176
+
2177
+ 545
2178
+ 00:48:22,720 --> 00:48:22,760
2179
+ pressure cell pressure cell pressure cell pressure
2180
+
2181
+ 546
2182
+ 00:48:22,760 --> 00:48:23,060
2183
+ pressure cell pressure cell pressure cell pressure
2184
+
2185
+ 547
2186
+ 00:48:23,060 --> 00:48:24,100
2187
+ cell pressure cell pressure cell pressure cell
2188
+
2189
+ 548
2190
+ 00:48:24,100 --> 00:48:26,440
2191
+ pressure cell pressure cell pressure cell pressure
2192
+
2193
+ 549
2194
+ 00:48:26,440 --> 00:48:27,120
2195
+ pressure cell pressure cell pressure cell pressure
2196
+
2197
+ 550
2198
+ 00:48:27,120 --> 00:48:32,020
2199
+ cell pressure cell pressure cell pressure
2200
+
2201
+ 551
2202
+ 00:48:32,020 --> 00:48:39,380
2203
+ cell pressure
2204
+
2205
+ 552
2206
+ 00:48:39,380 --> 00:48:42,200
2207
+ cell pressure cellุงู„ุชู…ุงุช ุจูŠุนู…ู„ delta R ุจู‚ูŠุณ ุฏู„ุชุง R
2208
+
2209
+ 553
2210
+ 00:48:42,200 --> 00:48:46,020
2211
+ ู‡ูˆ ูˆููŠ two strain gauges ุทุจุนุง ู‡ู†ุง ู‚ูˆูŠุฉ ุฌุฏุง ู‡ู†ุง ููŠ
2212
+
2213
+ 554
2214
+ 00:48:46,020 --> 00:48:49,520
2215
+ strain gauges ูŠุนู†ูŠ ุจูŠุญุท ุงุชู†ูŠู† ุถุงู…ูŠ strain gauges
2216
+
2217
+ 555
2218
+ 00:48:49,520 --> 00:48:56,100
2219
+ ุนุดุงู† ุชุนู…ู„ temperature compensation ูƒูŠูุŸ ูŠุนู†ูŠ ู‡ู†ุง
2220
+
2221
+ 556
2222
+ 00:48:56,100 --> 00:49:00,980
2223
+ ู‡ู†ููŠุด strain ูŠุนู†ูŠ ุงูุชุฑุถ ุงู† ุนู†ุฏูƒ ุงู„ liquid ุงูˆ ุงู„ุบุงุฒ
2224
+
2225
+ 557
2226
+ 00:49:00,980 --> 00:49:09,220
2227
+ ุณุฎู† ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ุญุชุฉ ุทูŠู† ูŠุนู†ูŠุงู„ุชู…ุฏุฏ due to
2228
+
2229
+ 558
2230
+ 00:49:09,220 --> 00:49:15,740
2231
+ temperature ูˆ due to pressure ู‡ุฐุง ุงูŠุด ุจูŠุนุทูŠู†ุง ุจุณ
2232
+
2233
+ 559
2234
+ 00:49:15,740 --> 00:49:21,200
2235
+ temperature ุจุทุฑุญู‡ู… ุจูŠุนุทูŠู†ูŠ ุงู„ net ู†ุชูŠุฌุฉ ุงูŠุด ุงู„
2236
+
2237
+ 560
2238
+ 00:49:21,200 --> 00:49:26,180
2239
+ pressure ูˆุงุถุญ ู„ูŠุด ู‡ุงุฏ ุงู„ู…ูˆุฌูˆุฏูŠู† ุจูŠุณู…ูˆู‡ุง dummy
2240
+
2241
+ 561
2242
+ 00:49:26,180 --> 00:49:31,720
2243
+ strain gauges ุงูˆ temperature compensating strain
2244
+
2245
+ 562
2246
+ 00:49:31,720 --> 00:49:39,050
2247
+ gauges ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุงู†ุง ุจู‚ูŠุณ ุงู„ .. ุงู„ ..ุงู„
2248
+
2249
+ 563
2250
+ 00:49:39,050 --> 00:49:48,030
2251
+ pressure ุจุทุฑูŠู‚ุฉ digital somehow digital ู‡ุฐู‡ ุงู„ู„ูŠ
2252
+
2253
+ 564
2254
+ 00:49:48,030 --> 00:49:54,610
2255
+ ู‡ูŠ ุงู„ strain gauge pressure ุณู„ ุทุจุนุง
2256
+
2257
+ 565
2258
+ 00:49:54,610 --> 00:49:58,410
2259
+ ุงู†ุง ุจุฏุฃ ุงุฏุฎู„ design ุงู„ุชูุงุตูŠู„ ูˆ ุจุฏุฃ ุงุดูˆู ุงู„
2260
+
2261
+ 566
2262
+ 00:49:58,410 --> 00:50:03,910
2263
+ material ุจุชุงุนุฉ ุงู„ cylinder ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ ุงู„
2264
+
2265
+ 567
2266
+ 00:50:03,910 --> 00:50:10,890
2267
+ thickness ุงู„ุทูˆู„ุงู„ุทูˆู„ ูˆ ุงู„ response ุจุชุงุนู‡ุง ู…ุน ุฏุฑุฌุฉ
2268
+
2269
+ 568
2270
+ 00:50:10,890 --> 00:50:16,370
2271
+ ุงู„ุญุฑุงุฑุฉ ูˆ ุทุฑูŠู‚ุฉ ุงู„ connection ูŠุนู†ูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
2272
+
2273
+ 569
2274
+ 00:50:16,370 --> 00:50:20,550
2275
+ ู„ุงุฒู… ุชูƒูˆู† ุฅูŠุงุด ููŠ ุณู…ุงูƒุฉ ู‡ูŠ ู…ุชูˆู‚ุนุฉ ุชูƒูˆู† ููŠ
2276
+
2277
+ 570
2278
+ 00:50:20,550 --> 00:50:27,110
2279
+ thickness ูŠูƒูˆู† ุฅูŠุงุด ู‚ู„ูŠู„ ูŠุนู†ูŠ
2280
+
2281
+ 571
2282
+ 00:50:27,110 --> 00:50:29,230
2283
+ ุฃููƒุงุฑ ุณู‡ู„ุฉ
2284
+
2285
+ 572
2286
+ 00:50:42,190 --> 00:50:48,730
2287
+ ูŠุนู†ูŠ ุงู„ุจุนุถ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุฃู†ุช ุชุนู…ู„ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ุงู„ุฎุงุต
2288
+
2289
+ 573
2290
+ 00:50:48,730 --> 00:50:55,330
2291
+ ููŠูƒ ูƒู„ ู…ุง ุจุฏุฃุช ุงู„ุณูŠุท ูŠุนู†ูŠ ุงูŠูˆุฉ ูู„ูˆ ุงู†ุง ุจุฏุฃ ุงุนู…ู„
2292
+
2293
+ 574
2294
+ 00:50:55,330 --> 00:51:00,270
2295
+ ุดุบู„ very low pressure ู…ู…ูƒู† ุงุนู…ู„ ุฌู‡ุฒุฉ ู‡ูŠูƒ ุนุงู…
2296
+
2297
+ 575
2298
+ 00:51:00,270 --> 00:51:06,610
2299
+ ุจุงู„ู„ูˆู† ุฎุตูˆุตุง ุงูˆ ู…ูŠุฒุงู†ุฃู‡ ููŠ ุดุบู„ุงุช ูƒุชูŠุฑ ู…ู…ูƒู† ุชู†ุนู…ู„
2300
+
2301
+ 576
2302
+ 00:51:06,610 --> 00:51:10,770
2303
+ ุทูŠุจ ุงู„ุงู† ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุทุจุนุง ู‡ู†ุง sensitive of a
2304
+
2305
+ 577
2306
+ 00:51:10,770 --> 00:51:13,670
2307
+ pair of circumferentially mounted strain with
2308
+
2309
+ 578
2310
+ 00:51:13,670 --> 00:51:16,290
2311
+ gauge factor of ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2312
+
2313
+ 579
2314
+ 00:51:16,290 --> 00:51:16,470
2315
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2316
+
2317
+ 580
2318
+ 00:51:16,470 --> 00:51:16,510
2319
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2320
+
2321
+ 581
2322
+ 00:51:16,510 --> 00:51:16,770
2323
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2324
+
2325
+ 582
2326
+ 00:51:16,770 --> 00:51:19,190
2327
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2328
+
2329
+ 583
2330
+ 00:51:19,190 --> 00:51:19,790
2331
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2332
+
2333
+ 584
2334
+ 00:51:19,790 --> 00:51:23,350
2335
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2336
+
2337
+ 585
2338
+ 00:51:23,350 --> 00:51:27,770
2339
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2340
+
2341
+ 586
2342
+ 00:51:27,770 --> 00:51:33,660
2343
+ ู„ .. ู„ ..ุงู„ู€ change of resistance due to change in
2344
+
2345
+ 587
2346
+ 00:51:33,660 --> 00:51:39,120
2347
+ dimensions ุงู„ P I ุงู„ู„ูŠ ู‡ูˆ ุงู„ pressure inside ุงู„
2348
+
2349
+ 588
2350
+ 00:51:39,120 --> 00:51:45,140
2351
+ tube ุงู„ R ุงู„ู„ูŠ ู‡ูŠ ุงู„ nominal resistance ุงูˆ ุงู„
2352
+
2353
+ 589
2354
+ 00:51:45,140 --> 00:51:48,260
2355
+ nominal resistance ู„ู„ string gauge ุงู„ู„ูŠ ู‡ูŠ
2356
+
2357
+ 590
2358
+ 00:51:48,260 --> 00:51:52,890
2359
+ resistance ุจุชุงุนุชู‡ ุงู„ nominalุงู„ู€ D ุงู„ูƒุชุฑ ุงู„ุฏุงุฎู„ู‰ ุงู„
2360
+
2361
+ 591
2362
+ 00:51:52,890 --> 00:51:56,650
2363
+ E ุงู„ู„ู‰ ู‡ู‰ ุงู„ modulus of elasticity ุงู„ New ุงู„ู„ู‰ ู‡ู‰
2364
+
2365
+ 592
2366
+ 00:51:56,650 --> 00:52:02,290
2367
+ Poisson ratio ุงู„ D ูƒุจุชุฑ ุงู„ู„ู‰ ู‡ู‰ ุงู„ูƒุชุฑ ุงู„ุฎุงุฑุฌู‰
2368
+
2369
+ 593
2370
+ 00:52:02,290 --> 00:52:11,050
2371
+ ุทูŠุจ ููŠ ุงู„ .. ุทุจุนุง ูู‰ ุงู„ูƒุชุงุจ ูู‰ ุฃุฌุฒุฉ ูƒุชูŠุฑ ู„ู‚ูŠุงุณ
2372
+
2373
+ 594
2374
+ 00:52:11,050 --> 00:52:16,270
2375
+ ุงู„ูุฑุดุนุงู„ุฉ ุฐูƒุฑ ุฌุฒุก ุจุณูŠุท ู…ู†ู‡ุงุงู„ููƒุฑุฉ ุจุบุถ ุงู„ู†ุธุฑ ุนู†
2376
+
2377
+ 595
2378
+ 00:52:16,270 --> 00:52:19,670
2379
+ ุงู„ุฌู‡ุงุฒ .. ุนู† .. ุนู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู… ู„ู„ู‚ูŠุงุณ how to
2380
+
2381
+ 596
2382
+ 00:52:19,670 --> 00:52:22,270
2383
+ calibrate it ูƒูŠู ู†ุนู…ู„ู‡ calibration ูŠุนู†ูŠ ู‡ุชุนู…ู„ู‡
2384
+
2385
+ 597
2386
+ 00:52:22,270 --> 00:52:28,590
2387
+ ุชุฌุฑุจุฉ ุฌู‰ ู…ุซู„ุง ุฌู‡ุงุฒ ุจุณ ู…ุงุนุฑูุด ุงุฐุง ุจุฏู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ
2388
+
2389
+ 598
2390
+ 00:52:28,590 --> 00:52:35,670
2391
+ ู‡ูˆ ุงู„ dead center ุงู„ dead weight center
2392
+
2393
+ 599
2394
+ 00:52:35,670 --> 00:52:42,710
2395
+ pressure gauge ุงู„ู„ูŠ
2396
+
2397
+ 600
2398
+ 00:52:42,710 --> 00:52:48,600
2399
+ ู‡ูˆ ู‡ุฐุงุนุดุงู† to calibrate any pressure measuring
2400
+
2401
+ 601
2402
+ 00:52:48,600 --> 00:52:53,760
2403
+ device ู„ูˆ ุจุฏู‰ ุฃุณุชุฎุฏู… ุงู„ุฌู‡ุงุฒ ุฏู‡ for calibration ุจุฏู‰
2404
+
2405
+ 602
2406
+ 00:52:53,760 --> 00:53:02,620
2407
+ ุฃุณุชุฎุฏู… ุงูˆุฒุงู† ูˆ ุงู„ุฌู‡ุงุฒ ุฏู‡ ู…ุงู„ู‡ calibration ุจูˆุตู„ู‡
2408
+
2409
+ 603
2410
+ 00:53:02,620 --> 00:53:11,520
2411
+ ู‡ู†ุง ุงู„ุงู† ู‡ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ mass
2412
+
2413
+ 604
2414
+ 00:53:14,720 --> 00:53:21,700
2415
+ ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ weight ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ P ุงู„ true ุฏู‡
2416
+
2417
+ 605
2418
+ 00:53:21,700 --> 00:53:26,780
2419
+ ุณุงู…ุน ุงู„ true pressure ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง true ู…ุด true
2420
+
2421
+ 606
2422
+ 00:53:26,780 --> 00:53:34,160
2423
+ ู…ูŠูู„ู…ูŠุฉ ุจุนุฏูŠู† ุงู„ P indicated ุงู„ indicated pressure
2424
+
2425
+ 607
2426
+ 00:53:34,160 --> 00:53:39,700
2427
+ indicated ููŠู† ุงู„ range ุชุงุนู‡ ู…ุซู„ุง ู†ุญูƒูŠ ู…ู† ุงู„ range
2428
+
2429
+ 608
2430
+ 00:53:39,700 --> 00:53:50,740
2431
+ ุชุงุนู‡ ู…ุซู„ุง ู…ู† ุณูุฑู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุง ุจุณ ูƒุฏู‡ ู‡ุจุฏุฃ ู…ู† ุตูุฑ
2432
+
2433
+ 609
2434
+ 00:53:50,740 --> 00:53:57,560
2435
+ pressure zero ู„ุฃ ู…ุด ู‡ุญุทูˆู„ ุจู‚ู‰ ู‡ุจุฏุฃ zero ุงูˆู„ ุดูŠ
2436
+
2437
+ 610
2438
+ 00:53:57,560 --> 00:54:05,020
2439
+ ูˆุงุฎุฏ ู‚ุฑุงุกุงุช ู„ุงุฒู… ุงุบุทูŠ ูƒู„ ุงู„ range ุนู†ุฏ ู…ูŠู‡ ู„ูˆ ุญูƒูŠุช
2440
+
2441
+ 611
2442
+ 00:54:05,020 --> 00:54:08,760
2443
+ ุงู†ุง ูƒู„ ุนุดุฑูŠู† ู…ูŠุฌุง ู‡ุงุฎุฏ ู‡ุงูŠ ุนุดุฑูŠู†
2444
+
2445
+ 612
2446
+ 00:54:12,230 --> 00:54:15,970
2447
+ ูŠุนู†ูŠ ุงู†ุง ุจูƒูˆู† ุญุงุณุจ ุงูƒู… ุจุฏู‰ ูˆุฒู† ุนุดุงู† ุงุนุทูŠ ุนุดุฑูŠู†
2448
+
2449
+ 613
2450
+ 00:54:15,970 --> 00:54:21,190
2451
+ ู…ูŠุฌุง ุงู„ mass ุจุญุณ
2452
+
2453
+ 614
2454
+ 00:54:21,190 --> 00:54:30,650
2455
+ ูŠุนุทูŠู†ุง ุนุดุฑูŠู† ู…ูŠุฌุง ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ
2456
+
2457
+ 615
2458
+ 00:54:30,650 --> 00:54:36,070
2459
+ ุจุฑุถู‡ ุจุฏู‰ ุงุฑุฌุน ุฌูˆุน ุชู…ุงู†ูŠู†
2460
+
2461
+ 616
2462
+ 00:54:38,930 --> 00:54:46,890
2463
+ ุณุชูŠู† ุงุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ู„ู…ุง ุงุฑุฌุน ุจุดูŠุด ุงู„ูˆุฒู†ุฉ ูƒู„ู‡ุง ูˆ
2464
+
2465
+ 617
2466
+ 00:54:46,890 --> 00:54:54,270
2467
+ ุจุญุท ุงู„ูˆุฒู† ุฏูŠ ู„ุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุจุฎุชู„ู ุงู„ุงุดูŠุงุก ุงู†ุง ุนุงุฑู
2468
+
2469
+ 618
2470
+ 00:54:54,270 --> 00:54:58,010
2471
+ ู†ูุณูŠ ุงู„ balance ุงู‡ ู‡ุฐู‡ ู…ุฎุชู„ูุฉ ูุงู†ุช ุชุนู…ู„ ุงู„
2472
+
2473
+ 619
2474
+ 00:54:58,010 --> 00:55:01,290
2475
+ calibration ุงู†ุง ู…ุฑูƒุฒ ุนู„ู‰ ุงู„ calibration ูƒุชูŠุฑู„ุฃู† ุฒูŠ
2476
+
2477
+ 620
2478
+ 00:55:01,290 --> 00:55:04,630
2479
+ .. ู‡ุชุดุชุบู„ .. ู‡ุชุดุชุบู„ calibration ุงู„ู‚ูŠุงุณ .. ุฃูŠ ุญุฏ
2480
+
2481
+ 621
2482
+ 00:55:04,630 --> 00:55:07,010
2483
+ ู…ู…ูƒู† ูŠุงุฎุฏ ู‚ูŠุงุณุงุช ู…ู…ูƒู† .. ูŠุนู†ูŠ ุงู„ calibration ู…ู…ูƒู†
2484
+
2485
+ 622
2486
+ 00:55:07,010 --> 00:55:10,450
2487
+ ุชุจุตูŠ ู„ู‡ ุญุงุฌุฉ ุงู†ูƒ ุจุชู‚ูŠุต ุตุญ ูˆ ุจุชูู‡ู… ุงู„ุฌู‡ุงุฒ ูƒุฏู‡
2488
+
2489
+ 623
2490
+ 00:55:10,450 --> 00:55:14,710
2491
+ ุจูŠุดุชุบู„ ุตุญ ูˆ ุงูŠุด ู…ุตุงุฏุฑ ุงู„ุฎุทุฃ ููŠู‡ ูุจุฑุถู‡ ู‡ุชุนู…ู„ ุงู„
2492
+
2493
+ 624
2494
+ 00:55:14,710 --> 00:55:19,570
2495
+ calibration ู„ุฃุญุฏ ุงู„ุฃุฌุฒุฉ calibration ุงูˆ ู…ู…ูƒู† ูŠุณู…ูŠู‡
2496
+
2497
+ 625
2498
+ 00:55:19,570 --> 00:55:22,950
2499
+ characterization ู…ุด ุนุงุฑู ู…ู† ุฌู‡ุฉ ู†ูุณูŠ ู…ู…ูƒู† ู†ุณุชุฎุฏู…
2500
+
2501
+ 626
2502
+ 00:55:22,950 --> 00:55:26,150
2503
+ ุฌู‡ุงุฒ ู„ู„ calibration ุฃูƒุชุฑ ุฏู‚ุฉ ูŠุนู†ูŠ ุงู†ุง ุงุฎุฏ ู‚ุฑุงุกุฉ
2504
+
2505
+ 627
2506
+ 00:55:26,150 --> 00:55:29,710
2507
+ ุฌู‡ุงุฒ ุฃูƒุชุฑ .. ูŠุนู†ูŠ ุงุนู…ู„ ู…ุง ูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ู…ุนุงูŠุฑุฉ
2508
+
2509
+ 628
2510
+ 00:55:29,710 --> 00:55:39,740
2511
+ ู†ุณุจูŠุฉู…ุนุงูŠุฑุฉ ู†ุณุจูŠุฉ ู‡ุณุชุฎุฏู… ุฌู‡ุงุฒ ุงูƒุซุฑ ุฏู‚ุฉ ุทุจุนุง
2512
+
2513
+ 629
2514
+ 00:55:39,740 --> 00:55:44,840
2515
+ ู‡ูƒูˆู† ููŠู‡ ู‚ูŠู… ุงู„ู„ูŠ ู‡ู‚ุฑุงู‡ุง ุงู† ู‡ุฐู‡ ุงู„ indicated ูˆ
2516
+
2517
+ 630
2518
+ 00:55:44,840 --> 00:55:52,200
2519
+ ุจุนุฏูŠู† plot ุงู„ PI ู…ุน ุงู„ P true ู‡ุงูŠ
2520
+
2521
+ 631
2522
+ 00:55:52,200 --> 00:55:55,280
2523
+ ุงู„ hysteresis ู‡ุชุดูˆู ุงู„ linearity
2524
+
2525
+ 632
2526
+ 00:55:58,800 --> 00:56:05,940
2527
+ ูˆ zero offset ุฌูŠุจูˆุง ุงูŠ pressure gauge ู…ู† ุงูŠ ุดุฑูƒุฉ ูˆ
2528
+
2529
+ 633
2530
+ 00:56:05,940 --> 00:56:07,900
2531
+ ุงูุชุญูˆุง ุงู„ catalog ุจุชุงุนุชู‡ ูˆ ุงุทู„ุนูˆุง ุงู„ data sheet
2532
+
2533
+ 634
2534
+ 00:56:07,900 --> 00:56:11,980
2535
+ ู…ู…ูƒู† ุงุทู„ุนูˆุง ุงุด ู…ู…ูƒู† ุงุนุทูŠูƒูˆุง linear ูˆ zero offset ูˆ
2536
+
2537
+ 635
2538
+ 00:56:11,980 --> 00:56:18,760
2539
+ ุงู„ hysteresis ุงู‚ุฑุฃูˆุง ู…ู…ูƒู†
2540
+
2541
+ 636
2542
+ 00:56:18,760 --> 00:56:26,020
2543
+ ุงุนุทูŠูƒูˆุง project design ุงุนู…ู„ ู„ุฌู‡ุงุฒ ู‡ุฐุง
2544
+
2545
+ 637
2546
+ 00:56:32,860 --> 00:56:38,380
2547
+ ู†ู‡ ู…ุน ุญุณุงุจุงุช ุงู„ solid work ุจุฑู†ุงู…ุฌ ู„ู„ุฑุณู… ุฃุฏุงุฉ ู…ู†
2548
+
2549
+ 638
2550
+ 00:56:38,380 --> 00:56:45,120
2551
+ ุฃุฏูˆุงุช ุงู„ุฑุณู… ุงู„ solid work ู‡ูˆ ุงู„ู…ุตุทุฑู‡ ุชุงุนุชูƒ ุงูˆู„ ู…ุง
2552
+
2553
+ 639
2554
+ 00:56:45,120 --> 00:56:50,640
2555
+ ู‡ูŠ ุงูˆู„ ู…ุญุงูŠุง ุงุฐุง ุงู†ุช ุจู†ู‰ ุงู„ู…ุตุทุฑ ูŠู†ุชุจุนูƒ ุจุณ ุจุฏูƒ ุจู†ู‰
2556
+
2557
+ 640
2558
+ 00:56:50,640 --> 00:56:57,440
2559
+ ูŠุจู†ู‰ ุตุญ ูˆ ูŠุญุณู† ุตุญุŸ ู…ุงุชุญูƒูˆู„ุด solid work ูŠุนู†ูŠ ุงูˆ ุงุดูŠ
2560
+
2561
+ 641
2562
+ 00:56:57,440 --> 00:57:00,540
2563
+ ูƒุจูŠุฑ ุนุงุฏู‰ ุฒู…ุงู† ูƒุงู† ุตุงู…ู… ุจุฏูˆู† solid work
2564
+
2565
+ 642
2566
+ 00:57:07,400 --> 00:57:13,860
2567
+ ูู…ู…ูƒู† ุงุฐุง ุญุงุจูŠู† ุงุนุทูŠูƒูˆุง project ุงุชุตู…ู…ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ
2568
+
2569
+ 643
2570
+ 00:57:13,860 --> 00:57:20,280
2571
+ dead weight tester ุทุจุนุง ู‡ุชุดูˆู ู…ุซู„ุง ูƒูŠู ุจู†ุญุตู„ ุงู„
2572
+
2573
+ 644
2574
+ 00:57:20,280 --> 00:57:24,940
2575
+ pressure ููŠู‡ ู„ู‡ุง ู…ุนุงุฏู„ุฉ ุงู„ู…ุนุงุฏู„ุฉ ู…ุด ู…ุจุงุดุฑุฉ ุงู†ุช
2576
+
2577
+ 645
2578
+ 00:57:24,940 --> 00:57:32,120
2579
+ ุญูƒูŠู‡ ูˆุงู„ู„ู‡ ุงู„ pressureุจุณูˆุฉ F ุนู„ู‰ A ุจุณูˆุฉ ุฃุฑุจุน F ุนู„ู‰
2580
+
2581
+ 646
2582
+ 00:57:32,120 --> 00:57:36,200
2583
+ Pi D ุชุฑุจูŠุน ู‡ุฐู‡ ุงู„ basic equation ุจุณ ููŠ corrections
2584
+
2585
+ 647
2586
+ 00:57:36,200 --> 00:57:44,100
2587
+ ููŠ corrections corrections
2588
+
2589
+ 648
2590
+ 00:57:44,100 --> 00:57:50,880
2591
+ for ุงู„ู„ูŠ ู‡ูˆ friction ู„ู„ pistol ู…ุน ุงู„ุฌุฏุฑุงู† ูˆููŠ
2592
+
2593
+ 649
2594
+ 00:57:50,880 --> 00:57:57,310
2595
+ correction ู„ู„ damping ุงู„ู„ูŠ ู‡ูŠุงู„ุฏู…ุจู† ู†ุชูŠุฌุฉ ุงู†ูŠุฑุด ู…ุน
2596
+
2597
+ 650
2598
+ 00:57:57,310 --> 00:58:02,850
2599
+ ุฒูŠุช ุจูŠุนู…ู„ ุฒูŠ ุชู…ูˆูŠุช ุงูˆ damping ูููŠู‡ ู„ู‡ correction
2600
+
2601
+ 651
2602
+ 00:58:02,850 --> 00:58:07,130
2603
+ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ corrections ูˆููŠู‡ correction ู†ุนู… ุฑูˆุญ
2604
+
2605
+ 652
2606
+ 00:58:07,130 --> 00:58:11,090
2607
+ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ุงูƒุชุจ damping spring ุฑูˆุญ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ
2608
+
2609
+ 653
2610
+ 00:58:11,090 --> 00:58:17,650
2611
+ ุงูƒุชุจ spring damper system
2612
+
2613
+ 654
2614
+ 00:58:30,580 --> 00:58:35,020
2615
+ ุนู†ุฏูƒ .. ุฏู‡ ูˆู„ุง ุญุงุฌุฉ ู…ุด ู‡ุดุฑุญู„ูƒ ู‡ูŠ .. ู‡ุชูƒูˆู† .. ู‡ุชุดูˆู
2616
+
2617
+ 655
2618
+ 00:58:35,020 --> 00:58:38,340
2619
+ ููŠู‡ ุฃู…ุซู„ุฉ ูˆ ุฑุฌุน ุดูˆู ููŠ ุงู„ูŠูˆุชูŠูˆุจ ุฅูŠุด ุจูŠุญูƒูˆุง ุน ุงู„
2620
+
2621
+ 656
2622
+ 00:58:38,340 --> 00:58:43,680
2623
+ spring damper system ุงุชูู‡ู…ุด ู‡ูˆ .. ููŠ ู…ุญุงุถุฑุฉ ูƒุชูŠุฑ
2624
+
2625
+ 657
2626
+ 00:58:43,680 --> 00:58:49,040
2627
+ ู‡ุชู„ุงู‚ูŠู‡ุง ุชุชุฐูƒุฑู‡ุง
2628
+
2629
+ 658
2630
+ 00:58:49,040 --> 00:58:58,080
2631
+ ูููŠู‡ุง
2632
+
2633
+ 659
2634
+ 00:58:58,080 --> 00:58:58,500
2635
+ ุณุคุงู„
2636
+
2637
+ 660
2638
+ 00:59:02,650 --> 00:59:06,690
2639
+ ู‡ู„ ุจุชุฏุฎู„ ุนู„ู‰ solid work ุนุงุฏูŠุŸ ุฏู„ูˆู‚ุชูŠ ู…ุด ู‡ุงูƒูŠู„ ุงู„
2640
+
2641
+ 661
2642
+ 00:59:06,690 --> 00:59:12,130
2643
+ solid work ุงู„ ุตุฏู‚ ุงุฏุงุก ุงู„ู„ูŠ ุงู†ุง ุงู†ุช ุดูˆู ุงูŠู‡ ู…ุด
2644
+
2645
+ 662
2646
+ 00:59:12,130 --> 00:59:18,950
2647
+ ู…ุทู„ูˆุจ ูŠุนู…ู„ู‡ ุนุดุงู† ุงุนู…ู„ design ู‡ุงูŠ ุงู„ููƒุฑุฉ ุจุชุงุนุชู‡ ู‡ุงูŠ
2648
+
2649
+ 663
2650
+ 00:59:18,950 --> 00:59:24,400
2651
+ ุงู„ููƒุฑุฉุงู†ุง ุจุฏูŠ ูƒูˆู†ุฏูŠ system ุฒูŠ ู‡ูŠูƒ ุจุชุถุงุฑู ุงู„ู‚ุทุฑ ู‡ุฐู‡
2652
+
2653
+ 664
2654
+ 00:59:24,400 --> 00:59:30,120
2655
+ ุงู„ุณู…ุงูƒุงุช ู‡ุฐู‡ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ piston ู‚ูŠู… ุงู„ุฃูˆุฒุงู† ูˆุด
2656
+
2657
+ 665
2658
+ 00:59:30,120 --> 00:59:33,140
2659
+ ุงู„ pressure range ุงู„ุฎุฒุงู† ุฃูƒู… ุณุงุนุชู‡ ูˆููŠ ุนู†ุฏู‡ูŠู†
2660
+
2661
+ 666
2662
+ 00:59:33,140 --> 00:59:38,380
2663
+ adjustment ูˆููŠ ุนู†ุฏู‡ูŠู† ุงู„ูุชุญูŠู† ูˆ ุชูุงุตูŠู„ ููŠู‡ุง ุฌูŠุช
2664
+
2665
+ 667
2666
+ 00:59:38,380 --> 00:59:44,640
2667
+ ุฏูƒุชูˆุฑ ููŠ ุงู„ุฌู‡ุงุฒ ู‡ุฐุง ุงู„ุดุณู… ุงู„ diameter ู„ู„ุงู†ุงุจูŠ
2668
+
2669
+ 668
2670
+ 00:59:44,640 --> 00:59:49,060
2671
+ ูŠูƒูˆู†ู‡ุง ู†ูุณ ุงู„ุญุงุฌุฉ ูˆู„ุง ู…ุงุจุชุฎุชู„ุŸ ู…ุด ุนุงุฑู ุงู†ุช ู‡ุชุตู…ู…ุŸ
2672
+
2673
+ 669
2674
+ 01:00:07,030 --> 01:00:10,730
2675
+ ุทุจุนุง ุงู„ pressure ู‡ู†ุง ุทุจุนุง ุงู„ุงุฑุชูุงุน ู…ุด ู‡ูƒูˆู† ูƒุจูŠุฑ
2676
+
2677
+ 670
2678
+ 01:00:10,730 --> 01:00:13,710
2679
+ ูุงู„ pressure ููŠ ูƒู„ ู…ูƒุงู† ููŠ ุงู„ุฒูŠุช ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠ
2680
+
2681
+ 671
2682
+ 01:00:13,710 --> 01:00:20,480
2683
+ ุชู‚ุฑูŠุจุงูŠุนู†ูŠ ุงู„ head difference is not significant
2684
+
2685
+ 672
2686
+ 01:00:20,480 --> 01:00:25,260
2687
+ ูุงู„ pressure ู‡ูˆ ุงู„ู…ูƒุงู† ู‡ูƒูˆู† ู†ูุณู‡ ูุงู„ pressure ู‡ู†ุง
2688
+
2689
+ 673
2690
+ 01:00:25,260 --> 01:00:32,200
2691
+ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ุฅุฐุง ูƒุงู† ู‡ุฐุง 100% ุตุญ ู†ุนู… ูุงู†ุช
2692
+
2693
+ 674
2694
+ 01:00:32,200 --> 01:00:35,560
2695
+ ู‡ู†ุง ุจุชู‚ูŠุณ pressure ุงู„ pressure ุจูŠุณุงูˆูŠ force ุนู„ู‰
2696
+
2697
+ 675
2698
+ 01:00:35,560 --> 01:00:40,240
2699
+ area ุงู† ุนุฑูุชูƒ ุงู„ูˆุฒู† ุจุชุนุฑู ุงู„ pressure ุงู„ู…ูุฑูˆุถ ุงู„
2700
+
2701
+ 676
2702
+ 01:00:40,240 --> 01:00:44,320
2703
+ pressure ู‡ู†ุง ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ูุชุนู…ู„ู‡ calibrationู‡ูŠ ู‡ูˆ
2704
+
2705
+ 677
2706
+ 01:00:44,320 --> 01:00:48,560
2707
+ ู‡ุชูƒูˆู† ุงู„ connection standard ุงู„ thread ู„ู‡ standard
2708
+
2709
+ 678
2710
+ 01:00:48,560 --> 01:00:55,880
2711
+ ู„ุงู† ุงู†ุง ู‡ุฑูƒุจ gauge ููŠู‡
2712
+
2713
+ 679
2714
+ 01:00:55,880 --> 01:01:02,640
2715
+ ู„ู‡ standard connection ููŠ
2716
+
2717
+ 680
2718
+ 01:01:02,640 --> 01:01:07,340
2719
+ ุญุฏ ุงู„ุณุคุงู„ ุชุงู†ู‰ ููŠ ุญุณุงุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุฑู†ุฌ ู…ุด ุนุงุฑูู‡ุงุด ู†ุนู…
2720
+
2721
+ 681
2722
+ 01:01:07,340 --> 01:01:12,040
2723
+ ุฏู‡ ุฑู†ุฌูŠุฉ ูƒู…ุงู† ููŠ ุญุณุงุจุงุช ุงุนู…ู„ ุจุฏูƒ ุงูŠู‡ ุฏู‡ ู…ุด ูŠุนู†ูŠ
2724
+
2725
+ 682
2726
+ 01:01:12,040 --> 01:01:12,920
2727
+ ู…ู‚ู„ูˆุจ ู…ู† ุฏู‡ ูู‚ุท
2728
+
2729
+ 683
2730
+ 01:01:15,810 --> 01:01:22,430
2731
+ ุฅุฐุง ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ูˆุง ุฎูŠุงุฑ bonus ุจุณ
2732
+
2733
+ 684
2734
+ 01:01:22,430 --> 01:01:26,770
2735
+ ุจุฏูŠ ุฃุนุทูŠูƒูˆุง ุฅูŠุด ู…ุนู†ู‰ ูƒู„ู…ุฉ bonus bonus ุฃู†ุง ุจู‚ูŠู…ุด
2736
+
2737
+ 685
2738
+ 01:01:26,770 --> 01:01:30,950
2739
+ ุนู„ู‰ ุงู„ุฌู‡ุฏ ุงู„ู…ุจุฏูˆู„ ุจู‚ูŠู…
2740
+
2741
+ 686
2742
+ 01:01:30,950 --> 01:01:35,790
2743
+ ุนู† ู†ุชุงุฆุฌ ูŠุนู†ูŠ ู…ุง ุชู‚ูˆู„ูŠุด ูˆุงู„ู„ู‡ ุฃู†ุง ุนู…ู„ุช bonus ูˆุชุนุจุช
2744
+
2745
+ 687
2746
+ 01:01:35,790 --> 01:01:41,690
2747
+ ูˆุงู†ู‡ู„ูƒุช ูˆู‚ุนุฏุช ุดู‡ุฑ ุฃู†ุง ุจุงู‡ู… ุฏูŠ ุงู„ู†ุชูŠุฌุฉ ุชุจุตุฑูŠุด ุฃู†ุช
2748
+
2749
+ 688
2750
+ 01:01:41,690 --> 01:01:46,950
2751
+ ุจู†ุทู„ูˆู† ุจุฏูˆู† ุณุญุงุจุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ู…ุชุญูƒูŠุด ูˆุงู„ู„ู‡
2752
+
2753
+ 689
2754
+ 01:01:46,950 --> 01:01:51,390
2755
+ ู…ุณูƒูŠู† ุงู„ุฎูŠุงุท ุชุนุจ ุนู„ูŠู‡ ูˆุฎุณุงุฑุฉ ุจุฏู‡ ุงุดุชุฑูŠ ู…ู†ู‡ุŒ ู„ุฃ
2756
+
2757
+ 690
2758
+ 01:01:51,390 --> 01:01:56,510
2759
+ ุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ุจุชุดุชุฑูŠ ุบุณุงู„ุฉุŒ ุบุณุงู„ุฉ ููŠู‡ุง ุบุณูŠู„
2760
+
2761
+ 691
2762
+ 01:01:56,510 --> 01:02:01,630
2763
+ ูˆููŠู‡ุง .. ูˆููŠู‡ุง ุชู†ุดูŠู ูˆู…ุชุญูƒูŠ ุจุฏูŠุด ุงู†ุง ุจุฏูŠ ุงุดุชุฑูŠ
2764
+
2765
+ 692
2766
+ 01:02:01,630 --> 01:02:05,030
2767
+ ุบุณุงู„ุฉ ุจุฏูŠ .. ูŠุนู†ูŠ ู…ุด ู…ุดูƒู„ุฉ ู„ูˆ ู…ุด ููŠู‡ุง ุชู†ุดูŠูุŒ ุญุฑุงู…
2768
+
2769
+ 693
2770
+ 01:02:05,030 --> 01:02:10,270
2771
+ ุงู„ุดุฑูƒุฉ ุชุนุจุช ูˆุฎุณุงุฑุฉ ุนู„ู‰ ุดุบู„ู‡ู… ูˆ ุชุฏูุนู„ู‡ู… ูู„ูˆุณ ููŠู‡ุงุŒ
2772
+
2773
+ 694
2774
+ 01:02:10,270 --> 01:02:14,600
2775
+ ูˆุถุญูƒุชุŸุนุดุงู† ูƒุชูŠุฑ ู„ุฅู† ุงู„ู†ุงุณ ุจูŠูู‡ู…ูˆุง ู„ู„ bonus ุฅู†ู‡ ุฃู†ุง
2776
+
2777
+ 695
2778
+ 01:02:14,600 --> 01:02:18,520
2779
+ ุจุจุฐู„ ุฌู‡ูˆุฏ ูˆ ุจุชุนุจ ูุจุงุฎุฏ bonus ู„ุฃ ุงู„ bonus ุฏุฑุฌุฉ ุนู„ู‰
2780
+
2781
+ 696
2782
+ 01:02:18,520 --> 01:02:23,600
2783
+ ุณูุฑ ุฃูˆ ูˆุงุญุฏ ู…ุงููŠุด ููŠ ุงู„ู…ุต ูŠุนู†ูŠ ุฅู…ุง ุจุชุงุฎุฏ ุฏุฑุฌุงุช ุฃูˆ
2784
+
2785
+ 697
2786
+ 01:02:23,600 --> 01:02:36,880
2787
+ ุจุชุงุฎุฏุด ู†ุนู… ูŠุฏุด ููŠ ุงู„ุฏุงู‚ุฉ ู†ุนู… ุงุชุญุงู„ ู†ุตููŠ ุจุณ ุฃู†ุง
2788
+
2789
+ 698
2790
+ 01:02:36,880 --> 01:02:37,560
2791
+ ุจุดุชุบู„ ุฅูŠู‡ ุฃุด
2792
+
2793
+ 699
2794
+ 01:02:40,600 --> 01:02:50,160
2795
+ ูŠุนู†ูŠ ู†ุชูŠุฌุฉ ุญูƒู… ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ result oriented
2796
+
2797
+ 700
2798
+ 01:02:50,160 --> 01:02:58,460
2799
+ ุจู‚ูŠุณุด
2800
+
2801
+ 701
2802
+ 01:02:58,460 --> 01:03:01,720
2803
+ ุชุนุฑูุŒ ู…ุด ู‡ุฑูƒุจ ุนู„ูŠูƒ string gauge ูˆ ู‡ุดูˆู ุงู„ุชุบูŠุฑ ููŠ
2804
+
2805
+ 702
2806
+ 01:03:01,720 --> 01:03:02,900
2807
+ ุงู„ู…ู‚ุงู… ูˆ ู…ุด ุนุงุฑูุด
2808
+
2809
+ 703
2810
+ 01:03:09,120 --> 01:03:12,080
2811
+ ู…ุงุดูŠ .. ูŠุนู†ูŠ ู…ุทู„ูˆุจ ู…ู†ู†ุง ู†ู‚ุณู… ุนู„ู‰ ุงู„ุฌู‡ุงุฒ .. ุงูŠู‡
2812
+
2813
+ 704
2814
+ 01:03:12,080 --> 01:03:14,160
2815
+ ุงู„ู„ูŠ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงู‡ .. ุงูŠู‡
2816
+
2817
+ 705
2818
+ 01:03:14,160 --> 01:03:17,040
2819
+ ุงู„ู„ูŠ ุจุฏู‡ bonus .. ุงุฎุฏุด ูƒุงู…ู„ู‡ ูŠุง ุนุฒูŠุฒูŠ .. ุงู‡ .. ุงูŠู‡
2820
+
2821
+ 706
2822
+ 01:03:17,040 --> 01:03:21,580
2823
+ ุงู„ู„ูŠ ุจุฏู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ bonus ูŠุง ุนุฒูŠุฒูŠ .. ู…ุด ุจุฏูƒ
2824
+
2825
+ 707
2826
+ 01:03:21,580 --> 01:03:24,500
2827
+ ููŠู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู…ุด ุจุฏูƒ ..
2828
+
2829
+ 708
2830
+ 01:03:24,500 --> 01:03:27,320
2831
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2832
+
2833
+ 709
2834
+ 01:03:27,320 --> 01:03:29,220
2835
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2836
+
2837
+ 710
2838
+ 01:03:29,220 --> 01:03:30,940
2839
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2840
+
2841
+ 711
2842
+ 01:03:30,940 --> 01:03:31,080
2843
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2844
+
2845
+ 712
2846
+ 01:03:31,080 --> 01:03:31,140
2847
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏ
2848
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/DbaRNmxt2oo_raw.srt ADDED
@@ -0,0 +1,2924 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:07,860
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,860 --> 00:00:11,460
7
+ ูˆุจุฑูƒุงุชู‡ุŒ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ chapter four, major and
8
+
9
+ 3
10
+ 00:00:11,460 --> 00:00:16,620
11
+ octasiaุŒ ู‚ูŠุงุณ ุงูŠู‡ุŸ ุงู„ุถุบุทู†ุนู…ู„ ู…ุฑุงุฌุนุฉ ุณุฑูŠุนุฉ ุนู„ู‰
12
+
13
+ 4
14
+ 00:00:16,620 --> 00:00:21,000
15
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุนุฑูู†ุง ุงู„ pressure ู‡ูˆ ุงู„ู‚ูˆุฉ
16
+
17
+ 5
18
+ 00:00:21,000 --> 00:00:24,560
19
+ ุงู„ุนู…ูˆุฏูŠุฉ ุงู„ู…ุคุซุฑุฉ ุนู„ู‰ ุณุทุญ ูŠุนู†ูŠ ุงู„ู‚ูˆุฉ ุงู„ุนู…ูˆุฏูŠุฉ ู„ูƒู„
20
+
21
+ 6
22
+ 00:00:24,560 --> 00:00:28,740
23
+ ู…ุณุงุญุฉ ุงู„ูˆุญุฏุงุช ุงู„ุฑุฆูŠุณูŠุฉ ุงู„ bascule ูˆ ุงู„ pound per
24
+
25
+ 7
26
+ 00:00:28,740 --> 00:00:32,380
27
+ square inch ุนุฑูู†ุง ุงู„ gauge pressure ูˆ ุงู„ absolute
28
+
29
+ 8
30
+ 00:00:32,380 --> 00:00:36,420
31
+ pressure ุงู„ gauge pressure ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุถุบุท ุชุญุช
32
+
33
+ 9
34
+ 00:00:36,420 --> 00:00:39,400
35
+ ุงู„ุฏุฑุงุณุฉ ู†ุงู‚ุต ุถุบุท ุงู„ุฌูˆ
36
+
37
+ 10
38
+ 00:00:42,840 --> 00:00:46,500
39
+ ุงู„ุถุบุท ุงู„ุฌูˆุงู„ ุงู„ู…ุนูŠุงุฑูŠ ู…ูŠุฉ ูˆุงุญุฏ ุงู„ู ุชู„ุช ู…ูŠุฉ ุฎู…ุณูŠู†
40
+
41
+ 11
42
+ 00:00:46,500 --> 00:00:50,140
43
+ ุนุดูˆุงุฆูŠู† ุจุงุณูƒุงู„ ุงูˆ ุงุฑุจุน ุชุงุดุจูˆู† ุณุชุฉ ุชุณุนุฉ ุณุชุฉ pound
44
+
45
+ 12
46
+ 00:00:50,140 --> 00:00:54,160
47
+ per square inch absolute ุงูˆ ู…ุง ูŠุนุงุฏู„ ุทูˆู„ ุนู…ูˆุฏ ู…ู†
48
+
49
+ 13
50
+ 00:00:54,160 --> 00:00:59,340
51
+ ุงู„ุฐุฆุจู‚ ุณุจุนู…ูŠุฉ ูˆุณุชูŠู† ู…ูŠู„ูŠ ู…ุชุฑ ุดูู†ุง ุฌุฏูˆู„ ูˆุงุญุฏ ุงู„ู„ูŠ
52
+
53
+ 14
54
+ 00:00:59,340 --> 00:01:05,680
55
+ ู‡ูŠ ุงู„ุชุญูˆู„ุงุช ุจูŠู† ุงู„ุจุณูƒุงู„ ูˆุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู‚ูŠุงุณ
56
+
57
+ 15
58
+ 00:01:05,680 --> 00:01:10,230
59
+ ุงู„ุถุบุทุฃุนุฑูู†ุง ุงู„ aesthetic pressure ู‡ูˆ ุงู„ .. ุงู„ ..
60
+
61
+ 16
62
+ 00:01:10,230 --> 00:01:14,970
63
+ ุงู„ pressure filled by fluid at rest ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท
64
+
65
+ 17
66
+ 00:01:14,970 --> 00:01:18,690
67
+ ุงู„ู…ู‚ูŠุตู‡ ู„ู…ุง ู†ูƒูˆู† ุงู„ .. ุงู„ .. ุงู„ fluid ุงู„ู„ูŠ ู‡ูˆ ุณูˆุงุก
68
+
69
+ 18
70
+ 00:01:18,690 --> 00:01:23,050
71
+ ูƒุงู† ุณุงุฆู„ ุงูˆ ุบุงุฒ ููŠ ุญุงู„ ุงู„ุณูƒูˆู† ุงูˆ ุงุฐุง ุงู†ุง ูƒู†ุช ู…ุงุดูŠ
72
+
73
+ 19
74
+ 00:01:23,050 --> 00:01:26,270
75
+ ู…ุน ุงู„ fluid ุจู†ูุณ ุณุฑุนุชู‡ ุงุฐุง ููŠ ุงู†ุจูˆุจ ู…ุงุดูŠ ุจู†ูุณ
76
+
77
+ 20
78
+ 00:01:26,270 --> 00:01:31,990
79
+ ุณุฑุนุชู‡ ุจู‚ูŠุณ aesthetic pressure ุงู„ total pressure ุงู„
80
+
81
+ 21
82
+ 00:01:31,990 --> 00:01:36,400
83
+ ..ุฃูˆ ุงู„ dynamic pressure ู‡ูˆ ุงู„ pressure ุงู„ู†ุงุชุฌ ุนู†
84
+
85
+ 22
86
+ 00:01:36,400 --> 00:01:39,380
87
+ ุงู„ kinetic energy ู„ู„ fluid ุฅุฐุง ูƒุงู† ู…ุชุญุฑูƒ ู…ุนุทูˆู„
88
+
89
+ 23
90
+ 00:01:39,380 --> 00:01:44,460
91
+ ู„ู„ุฃู‚ู„ ู‡ูŠ ู†ุต Q ู†ุต Q ุณูˆุงุก ู†ุต ุฑูˆ ุจูŠ ุณูƒูˆูŠุฑ ูˆ ุงู„ total
92
+
93
+ 24
94
+ 00:01:44,460 --> 00:01:46,480
95
+ pressure ู‡ูˆ ุงู„ู…ุฌู…ูˆุน ุงู„ static pressure ูˆ ุงู„
96
+
97
+ 25
98
+ 00:01:46,480 --> 00:01:53,380
99
+ dynamic pressure ู‡ูˆ ุงู„ forceper unit area ุงู„ู„ูŠ ุงู†ุง
100
+
101
+ 26
102
+ 00:01:53,380 --> 00:01:55,860
103
+ ุจุญุณ ููŠู‡ ู„ู…ุง ุงู†ุง ุงุนู…ู„ ุงูŠ ู‚ุนู ู„ู„ fluid ูŠุนู†ูŠ ุงู„ fluid
104
+
105
+ 27
106
+ 00:01:55,860 --> 00:02:00,360
107
+ ู…ุชุญุฑูƒ ุจุนู…ู„ู‡ ุงูŠ ู‚ุนู ู‡ุฐุง ู‡ูˆ ุงู„ total pressure ูŠุฌุจ
108
+
109
+ 28
110
+ 00:02:00,360 --> 00:02:06,860
111
+ ู…ู†ู‡ static ูˆูŠุฌุจ ู…ู†ู‡ dynamic ู„ู‚ูŠุงุณ ุงู„ total
112
+
113
+ 29
114
+ 00:02:06,860 --> 00:02:11,100
115
+ pressure ูˆ ุงู„ static pressure ุจู†ุณุชุฎุฏู… ู…ุง ูŠุณู…ู‰ ุงู„
116
+
117
+ 30
118
+ 00:02:11,100 --> 00:02:14,560
119
+ P2T tube ุดุฑุญู†ุง ุงูŠุด ุทุฑูŠู‚ุฉ ุนู…ู„ู‡ุง
120
+
121
+ 31
122
+ 00:02:18,320 --> 00:02:20,800
123
+ ุงู„ู€ static ูˆ ุงู„ dynamic pressure ู„ุญุธุฉ ุงู„ static
124
+
125
+ 32
126
+ 00:02:20,800 --> 00:02:24,320
127
+ pressure ุนู†ุฏ ุญุงุฌุฉ ุงู„ูู„ูˆุฏ ุจูŠูƒูˆู† ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„ูู„ูˆุฏ
128
+
129
+ 33
130
+ 00:02:24,320 --> 00:02:29,040
131
+ ุนู†ุฏ ุฌุฏุฑุงู† ุจุชูƒูˆู† ุณุฑุนุฉ ุงู„ูู„ูˆุฏ zero ูˆ ุงู„ุชุงู„ูŠ ุฅุฐุง ุฃุฎุฏุช
132
+
133
+ 34
134
+ 00:02:29,040 --> 00:02:32,500
135
+ ุงู„ู†ุจูˆุจ ู…ู† ู‡ู†ุง ุจุงุฎุฏ ุงู„ static pressure ูุฅุฐุง ูƒู†ุง
136
+
137
+ 35
138
+ 00:02:32,500 --> 00:02:35,960
139
+ ุนู†ุฏู†ุง ู‡ู†ุง manometer ุงู„ head ู‡ุฐุง ูŠู…ุซู„ ุงู„ static
140
+
141
+ 36
142
+ 00:02:35,960 --> 00:02:39,720
143
+ pressure ู„ูƒู† ู„ูˆ ุญุทูŠุช ุงู„ู†ุจูˆุจ ู…ู† ุงู„ู†ุต ู‡ุฐุง ู‡ุชุนุทูŠู†ูŠ
144
+
145
+ 37
146
+ 00:02:39,720 --> 00:02:45,350
147
+ ุฅูŠุดุงู„ู€ total pressure ุงู„ู„ูŠ ู‡ูˆ static ุฒุงุฆุฏ dynamic
148
+
149
+ 38
150
+ 00:02:45,350 --> 00:02:47,730
151
+ ูู‡ุฐุง ูŠูƒูˆู† ุงู„ total pressure ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
152
+
153
+ 39
154
+ 00:02:47,730 --> 00:02:55,290
155
+ static pressure ุฒุงุฆุฏ dynamic pressure ุทุจุนุง
156
+
157
+ 40
158
+ 00:02:55,290 --> 00:03:02,090
159
+ ุนู…ู„ูŠุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุชุชุถู…ู† ุชุญูˆูŠู„ ุงู„ุถุบุท ู„ู‚ูˆุฉ ูˆู…ู† ุซู…
160
+
161
+ 41
162
+ 00:03:02,090 --> 00:03:07,470
163
+ ู‚ูŠุงุณ ุงู„ู‚ูˆุฉ ูŠุนู†ูŠ ุจุญูˆู„ ุงู„ุถุบุท ู„ force ูˆ ุจุนุฏูŠู† ุจู‚ูŠุณ ุงู„
164
+
165
+ 42
166
+ 00:03:07,470 --> 00:03:07,850
167
+ force
168
+
169
+ 43
170
+ 00:03:10,500 --> 00:03:15,660
171
+ ุงู„ force measurement ู…ู…ูƒู† ุชูƒูˆู† ู‚ูŠุงุณ ู…ุจุงุดุฑ ุงูˆ ู‚ูŠุงุณ
172
+
173
+ 44
174
+ 00:03:15,660 --> 00:03:20,220
175
+ ุบูŠุฑ ู…ุจุงุดุฑ ุงู„ direct measurement ุงู†ู‡ ุจู‚ุงุฑู† ุงู„ force
176
+
177
+ 45
178
+ 00:03:20,220 --> 00:03:27,380
179
+ ู…ุน weight of some object ุงูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ liquid ุงู„
180
+
181
+ 46
182
+ 00:03:27,380 --> 00:03:32,420
183
+ indirect force ุจุงู„ุณูŠุฑู†ุฏูŠ ุงู„ force ู…ู…ูƒู† ุชุนู…ู„ูŠ
184
+
185
+ 47
186
+ 00:03:32,420 --> 00:03:36,680
187
+ deflection ู…ู…ูƒู† ุงู‚ูŠุณ mechanical ุงู‚ูŠุณ ุงู„ deflection
188
+
189
+ 48
190
+ 00:03:36,680 --> 00:03:42,000
191
+ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูƒูŠุฉ mechanicalุฃูˆ ุงู„ deflection ุฃุฑูƒุจ
192
+
193
+ 49
194
+ 00:03:42,000 --> 00:03:47,450
195
+ stringageุŒ stringage ูŠุนู†ูŠ resistanceุงู„ู‚ูŠู…ุฉ ุงู„
196
+
197
+ 50
198
+ 00:03:47,450 --> 00:03:53,090
199
+ resistance ุชุชุบูŠุฑ ู…ุน ุงู„ deflection ูุจุญุงูˆู„ ู„ signal
200
+
201
+ 51
202
+ 00:03:53,090 --> 00:03:57,090
203
+ electrical signal that is measurable ู…ู† ุฎู„ุงู„ ู…ุง
204
+
205
+ 52
206
+ 00:03:57,090 --> 00:04:00,190
207
+ ุนุฑูุช ุงู„ู„ูŠ ู„ู‚ู‰ ุจูŠู† ุงู„ุชุบูŠุฑ ููŠ ุงู„ electrical property
208
+
209
+ 53
210
+ 00:04:00,190 --> 00:04:03,390
211
+ ู…ุน ุงู„ deflection ูˆุงู„ deflection ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
212
+
213
+ 54
214
+ 00:04:03,390 --> 00:04:06,270
215
+ pressure ุงูˆ ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„ force ุงู„ force ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
216
+
217
+ 55
218
+ 00:04:06,270 --> 00:04:09,330
219
+ pressure ู…ู…ูƒู† ุงุญุณุจ ุงูˆ ุงู‚ูŠุณ ุงู„ุถุบุท
220
+
221
+ 56
222
+ 00:04:13,550 --> 00:04:17,610
223
+ ุญูƒูŠ ู‡ู†ุง ุงู„ู…ุฑูู‚ุฉ ุนู„ู‰ ุงู„ dead weight center ุงู„ dead
224
+
225
+ 57
226
+ 00:04:17,610 --> 00:04:23,750
227
+ weight center ุจูŠูƒูˆู† ุนู†ุฏู‰ .. ุนู†ุฏู‰ ู‡ู†ุง ููŠู‡ fluid ุฒูŠุช
228
+
229
+ 58
230
+ 00:04:23,750 --> 00:04:30,190
231
+ ูˆ ุจูŠูƒูˆู† ุนู†ุฏู‰ ู‡ู†ุง weight ูˆ ุนู†ุฏู‰ piston ุงู„ weight
232
+
233
+ 59
234
+ 00:04:30,190 --> 00:04:33,190
235
+ ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ุนู„ู‰ ู…ุณุงุญุฉ ุงู„ piston
236
+
237
+ 60
238
+ 00:04:33,190 --> 00:04:38,110
239
+ ุชุนุทูŠู†ูŠุงุด ุถุบุท pressure ู„ุฃู† ู‡ู†ุง ุงู„ุฌู‡ุงุฒ ุงู„ู„ู‰ ุงู†ุง ุจุฏูŠ
240
+
241
+ 61
242
+ 00:04:38,110 --> 00:04:42,140
243
+ ุงุนู…ู„ู‡ calibration ุงูˆ ู…ุนุงูŠุฑุฉู‡ูˆ ุฌู‡ุงุฒ ุจุบุถ ุงู„ู†ุธุฑ ุงูŠุด
244
+
245
+ 62
246
+ 00:04:42,140 --> 00:04:47,240
247
+ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุงูˆ ุทุฑูŠู‚ุฉ ู‚ูŠุงุณู‡ ู‡ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ
248
+
249
+ 63
250
+ 00:04:47,240 --> 00:04:56,420
251
+ ุงูŠุด ู„ู„ู…ู‚ุงุฑู†ุฉ ุจุนู…ู„ calibration ุงู„
252
+
253
+ 64
254
+ 00:04:56,420 --> 00:05:00,640
255
+ manometer ุงู„ manometer ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‡ูˆ device ู„ู‚ูŠุงุณ
256
+
257
+ 65
258
+ 00:05:00,640 --> 00:05:05,120
259
+ ุงู„ุถุบุท ุงู„ุงู† ุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู†ุจูˆุจ ุนู„ู‰ ุดูƒู„ ุญุฑููŠู‡
260
+
261
+ 66
262
+ 00:05:07,600 --> 00:05:12,020
263
+ ุนู†ุฏูŠ pressure to be measured ู‡ูŠ ู…ุฏุฎู„ ุงู„ุถุบุท ุงู„ุบุงุฒ
264
+
265
+ 67
266
+ 00:05:12,020 --> 00:05:19,080
267
+ ุงู„ู„ู‰ ุจุฏู‡ ุงู‚ูŠุณ ุถุบุทู‡ ู„ุงู† ู„ู…ุง ุชูƒูˆู† ุงู„ุถุบุท ู‡ูŠู†ุฒู„ ุงู„
268
+
269
+ 68
270
+ 00:05:19,080 --> 00:05:25,420
271
+ liquid ูˆ ูŠุทู„ุน ู„ุฃุนู„ู‰ ุงู„ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠู…ุซู„ ุงู„ุถุบุท
272
+
273
+ 69
274
+ 00:05:25,420 --> 00:05:30,470
275
+ ุงู„ gauge pressureุงู„ู„ูŠ ู‡ูˆ ุฌุงู…ุนุฉ ููŠ H ููŠ H ุงูˆ ุฑูˆู‡ ุฌูŠ
276
+
277
+ 70
278
+ 00:05:30,470 --> 00:05:36,390
279
+ ููŠ H ุงู„ุฑูˆู‡ ุงู„ุฌูŠ ุงูŠ ุงู„ุฑูˆู‡ ุงู„ู„ูŠ ู‡ูŠ ูƒุซุงูุฉ ุงู„ุณุงุฆู„ ุงู„ุฌูŠ
280
+
281
+ 71
282
+ 00:05:36,390 --> 00:05:42,450
283
+ ู‡ูŠ ุงู„ gravity ุงู„ู„ูŠ ู‡ูŠ 9.806 ูˆ ุงู„ H ุงุฑุชูุงุน ุงู„ุนู…ูˆุฏ
284
+
285
+ 72
286
+ 00:05:42,450 --> 00:05:46,230
287
+ ุนู…ูˆุฏูŠ ุงู„ liquidุงู„ู€ typical liquid ุงู„ู…ุณุชุฎุฏู… ุนุงุฏุฉ
288
+
289
+ 73
290
+ 00:05:46,230 --> 00:05:50,610
291
+ ุงู„ุฒุฆุจู‚ ู„ุฃู† ูƒุซุงูุฉ ุงู„ุฒุฆุจู‚ ุญูˆุงู„ูŠ ุฃุฑุจุน ุชุงุดุฑ ุถุนู ูƒุซุงูุฉ
292
+
293
+ 74
294
+ 00:05:50,610 --> 00:05:56,150
295
+ ุงู„ู…ูŠู‡ ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ุฑุชูุงุน ุงู„ H ูƒุชูŠุฑ
296
+
297
+ 75
298
+ 00:05:56,150 --> 00:05:59,470
299
+ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„ู…ูŠู‡ ุฑุชูุงุน ุนู…ูˆุฏ ุงู„ู…ูŠู‡ ุฃุฑุจุน ุชุงุดุฑ ุถุนู
300
+
301
+ 76
302
+ 00:06:00,480 --> 00:06:05,180
303
+ ุงู„ุงู† ู„ูˆ ุงู†ุง ุจุฏูŠ ุงู‚ูŠุต ุถุบุท ู…ู†ุฎูุถ ุจุญุท liquid ุฎููŠู
304
+
305
+ 77
306
+ 00:06:05,180 --> 00:06:10,520
307
+ ูƒุชุงูุชู‡ ู‚ู„ูŠู„ ุนุดุงู† ุชุดุชุฑ ุฃุตุบุฑ ุชุบูŠูŠุฑ ููŠ ุงู„ pressure
308
+
309
+ 78
310
+ 00:06:10,520 --> 00:06:19,920
311
+ ู„ูƒู† ู„ูˆ ูƒุงู† ุถุบุท ู…ุฑุชูุน ููุถู„ ุงุณุชุฎุฏู… ุฒุฆุจู‚ ุทุจุนุง
312
+
313
+ 79
314
+ 00:06:19,920 --> 00:06:26,120
315
+ ุงู„ manometer ุงู„ู„ูŠ ู…ู† ู…ุฒุงูŠุงู‡ ุงู† ู‡ูˆ ุณู‡ู„ ูˆุฑุฎูŠุต ูˆ
316
+
317
+ 80
318
+ 00:06:26,120 --> 00:06:28,940
319
+ ุชู‚ุฑูŠุจุง ุงู„ error ููŠู‡ ู…ู†ุฎูุถ
320
+
321
+ 81
322
+ 00:06:31,330 --> 00:06:35,670
323
+ ุงู„ disadvantage ุงู„ู„ู‰ ู‡ูˆ poor dynamic response ุฅุฐุง
324
+
325
+ 82
326
+ 00:06:35,670 --> 00:06:41,370
327
+ ูƒุงู† ุถุบุท ุงู„ู…ุตุฏุฑ ุจุชุบูŠุฑ ุจุดูƒู„ ุณุฑูŠุน ุงู„ุงุณุชุฌุงุจุฉ ุจุชุงุนุชู‡
328
+
329
+ 83
330
+ 00:06:41,370 --> 00:06:47,970
331
+ ุจุชูƒูˆู†ุด ุณุฑูŠุนุฉ ุทุจุนุง ูˆ not practical ู„ู‚ูŠุงุณ ุถุบูˆุท
332
+
333
+ 84
334
+ 00:06:47,970 --> 00:06:52,830
335
+ ู…ุฑุชูุนุฉ ุฅุฐุง ูƒุงู† ุถุบุท ุฃุนู„ู‰ ู…ู† 200 ูƒูŠู„ูˆ ุจุงุณูƒุงู„ ูŠุนู†ูŠ ู…ุด
336
+
337
+ 85
338
+ 00:06:52,830 --> 00:06:58,290
339
+ ู…ู†ุงุณุจ ุจุฏูƒ ุชุดูˆู ุฌู‡ุงุฒ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉุงู„ุชุนุฑูู†ุง ุนู„ู‰ ุงู„
340
+
341
+ 86
342
+ 00:06:58,290 --> 00:07:00,910
343
+ will type manometer will type ุจูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง
344
+
345
+ 87
346
+ 00:07:00,910 --> 00:07:05,610
347
+ container ููŠู‡ liquid ู‡ุฐุง ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุณู‡
348
+
349
+ 88
350
+ 00:07:05,610 --> 00:07:10,490
351
+ ู„ู…ุง ุงุถุบุท ู‡ู†ุง ุจุฑุชูุน ุงู„ุนู…ูˆุฏ ุทุจุนุง ุงู†ุง ุนู†ุฏ ุงู„
352
+
353
+ 89
354
+ 00:07:10,490 --> 00:07:15,350
355
+ reference ุงู„ reference ุงูŠู‡ ู‡ุงูŠ ุงู„ reference ุซุงุจุช
356
+
357
+ 90
358
+ 00:07:15,350 --> 00:07:18,710
359
+ ู„ูƒู† ู„ุงู† ุงู„ cross section ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
360
+
361
+ 91
362
+ 00:07:18,710 --> 00:07:25,390
363
+ ุงุนู„ู‰ ุจูƒุชูŠุฑ ู…ู† ู‡ุฐู‡ุงู„ู€ X ู‡ุฐู‡ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง
364
+
365
+ 92
366
+ 00:07:25,390 --> 00:07:35,190
367
+ insignificant ู„ูŠุณุช ุฐุงุช ู‚ูŠู…ุฉ ุทูŠุจ
368
+
369
+ 93
370
+ 00:07:35,190 --> 00:07:41,370
371
+ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง ููŠ ู†ูˆุน ุชุงู†ูŠ ุงุณู…ู‡ burden tube gauge
372
+
373
+ 94
374
+ 00:07:41,370 --> 00:07:46,350
375
+ burden tube gauge ุงู„ burden tube gauge ุจูŠุดุชุบู„
376
+
377
+ 95
378
+ 00:07:46,350 --> 00:07:52,930
379
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ูŠุฉ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู‡ุงุฏุฆ ุงู†ุจูˆุจู…ุณูƒุฑุฉ
380
+
381
+ 96
382
+ 00:07:52,930 --> 00:07:57,370
383
+ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุต ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ุงู„ุบุงุฒ ุงูˆ
384
+
385
+ 97
386
+ 00:07:57,370 --> 00:08:04,250
387
+ ุงู„ liquid ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ู‡ุงุฏ ุงู„ุงู†ุจูˆุจ ู…ุด ุฏุงุฆุฑุฉ ูƒุงู…ู„ุฉ
388
+
389
+ 98
390
+ 00:08:04,250 --> 00:08:08,050
391
+ ุงู‚ู„ ู…ู† ุชู„ุงุช ู…ุฆูˆ ุณุชูŠู† ุฏุฑุฌุฉ ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ุง ุจูŠุถุงูˆูŠ
392
+
393
+ 99
394
+ 00:08:08,050 --> 00:08:12,750
395
+ ุงู„ู…ู‚ุทุน ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ ุนู…ู„ุช ู…ู‚ุทุน ู…ุณุชุนุฑุถ ุงู„ู…ู‚ุทุน ุจูŠุถุงูˆูŠ
396
+
397
+ 100
398
+ 00:08:12,750 --> 00:08:19,950
399
+ ู„ุงู† ู„ูˆ ู†ุฎุด fluid ู…ุถุบูˆุท ูŠุนู†ูŠ ุงุฐุง ุดูƒู„ ุจูŠุถุงูˆูŠ ู‡ุญุงูˆู„
400
+
401
+ 101
402
+ 00:08:19,950 --> 00:08:26,560
403
+ ุงูŠุดูŠุชุฏูˆุฑ ูŠุตูŠุฑ ูŠุงุด ู…ู‚ุทุน ุฏุงุฆุฑ ู†ุชูŠุฌุฉ ุงู„ deflection
404
+
405
+ 102
406
+ 00:08:26,560 --> 00:08:35,500
407
+ ุงู„ู„ู‰ ุชุชุญูˆู„ ู…ู† ู…ู‚ุทุน ุจูŠุถุงูˆ ู„ู…ู‚ุทุน ุฏุงุฆุฑ ุจูŠุตูŠุฑ ู„ู‡ ุญุฑูƒุฉ
408
+
409
+ 103
410
+ 00:08:35,500 --> 00:08:40,180
411
+ ูŠุตูŠุฑ ู‡ุฐู‡ ุจูŠุตูŠุฑ
412
+
413
+ 104
414
+ 00:08:40,180 --> 00:08:45,040
415
+ ุฒูŠ ู‡ูŠูƒ ุจุชุญุฑูƒ ุจูŠุญุงูˆู„
416
+
417
+ 105
418
+ 00:08:45,040 --> 00:08:51,810
419
+ ูŠุงุด ูŠุชุญุฑูƒ ุงู„ุขู† ุงู„ุทุฑู ุจุชุงุนู‡ ู…ูˆุตูˆู„ ุจ link ู‡ุฐู‡ linkูˆ
420
+
421
+ 106
422
+ 00:08:51,810 --> 00:08:54,930
423
+ ููŠุนู†ุฏูŠ ูƒู…ุงู† link ุชุงู†ูŠุฉ ู‡ุฐุง ุงู„ู…ุญูˆุฑ ุฅูŠู‡ ุฃุดู…ุงู„ู‡ ู‡ุฐุง
424
+
425
+ 107
426
+ 00:08:54,930 --> 00:08:58,590
427
+ ู…ุญูˆุฑ ุซุงุจุช
428
+
429
+ 108
430
+ 00:08:58,590 --> 00:09:04,490
431
+ ู‡ุฐุง ู‡ุญุงูˆู„ ูŠุชุญุฑูƒ ู„ู…ุง ูŠุชุญุฑูƒ ุงู„ุฏุฑุงุน ู‡ุฐุง ุจูŠุณุญุจ ูู‡ุฐุง
432
+
433
+ 109
434
+ 00:09:04,490 --> 00:09:12,490
435
+ ุฃุดู…ุงู„ู‡ ู‡ูŠู„ู ู„ู…ุง ู†ู„ู ุงู„ุชุฑุณ ู‡ุฐุง ูŠุชุญุฑูƒ ูู‡ุฐุง ุจูŠุชุญุฑูƒ
436
+
437
+ 110
438
+ 00:09:12,490 --> 00:09:18,690
439
+ ู„ูŠุด ู…ุด ุงู„ู„ูŠ ุฃุนู„ู‰ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ุงู„ pressure ู‡ุฐุง
440
+
441
+ 111
442
+ 00:09:18,690 --> 00:09:19,470
443
+ ุงุณู…ู‡ ุงู„ boredom
444
+
445
+ 112
446
+ 00:09:24,550 --> 00:09:29,630
447
+ ุฌูŠุฌ ูููƒุฑุฉ ู‡ูˆ ุงู†ุง ุจูƒูˆู† ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ ุจูŠุถุงูˆูŠ ู†ุชูŠุฌุฉ ุงู„
448
+
449
+ 113
450
+ 00:09:29,630 --> 00:09:33,610
451
+ pressure ุฌูˆู‡ ุจูŠุญูˆู„ pressure ูŠุญูˆู„ ู„ุฏุงุฆุฑุฉ ุนุดุงู† ุชุญูˆู„
452
+
453
+ 114
454
+ 00:09:33,610 --> 00:09:37,150
455
+ ู„ุฏุงุฆุฑุฉ ุจูŠุตูŠุฑ ุจุชุชุญุฑูƒ ุงู„ุทุฑู ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ู…ุตูˆู„ ุจุงู„
456
+
457
+ 115
458
+ 00:09:37,150 --> 00:09:40,610
459
+ link ุงู„ link ู…ุตูˆู„ ุจุงู„ link ู‡ุฐุง ุณุงู…ุนู‡ ุงู„ crank
460
+
461
+ 116
462
+ 00:09:40,610 --> 00:09:47,330
463
+ ุทุฑูู‡ุง ุน ุดูƒู„ ุชุฑุณ ูˆุฌู‡ู‡ุง ู…ุน ุชุฑุณ ูู‡ุฐุง ู‡ูŠุฏูˆุฑ ุจุฏูˆุฑ ูุจุทู„ุน
464
+
465
+ 117
466
+ 00:09:47,330 --> 00:09:56,540
467
+ ู…ุนุงู„ .. ุงู„ุชุฑุณ ุงู„ู„ูŠ ุตุบูŠุฑ ุจุฏูˆุฑ ุงู„ุชุฑุณ .. ู†ุนู… ุงู‡
468
+
469
+ 118
470
+ 00:09:56,540 --> 00:10:04,540
471
+ ูŠุนู†ูŠ ุงู†ุช ุฌูŠุจ ุจู„ูˆู† ุฌูŠุจ ุจู„ูˆู† ุงู„ุทูˆูŠู„ ุงู„ุฑููŠุน ู…ุด ุจู„ูˆู†
472
+
473
+ 119
474
+ 00:10:04,540 --> 00:10:10,920
475
+ ุชู‚ู„ูŠุฏูŠ ู‡ูˆ ูุงุถูŠ ู…ููŠุด ููŠู‡ ู‡ูˆุงูŠุด ุจูŠูƒูˆู† ุจูŠูƒูˆู† ุงู„ู…ู‚ุทุนุฉ
476
+
477
+ 120
478
+ 00:10:10,920 --> 00:10:16,340
479
+ ุชุนุงู„ู‰ ุจูŠูƒูˆู† ู‡ุงูŠ ุจู„ูˆู† ู…ุณุงุญ ู…ู‚ู„ู‚
480
+
481
+ 121
482
+ 00:10:16,340 --> 00:10:17,620
483
+ ู‡ูˆุŒ ู…ุธุจูˆุทุŸ
484
+
485
+ 122
486
+ 00:10:21,050 --> 00:10:24,670
487
+ ุทุจุนุง ู‡ุชุณู…ุนู‡ุง ูƒุฃู†ุง ู…ูƒุจุฑู‡ุง ุดูˆูŠุฉ ูŠุนู†ูŠ ูุนู„ูŠุง ุงู„ู…ู‚ุทุน
488
+
489
+ 123
490
+ 00:10:24,670 --> 00:10:30,650
491
+ ุชุงุนู‡ ุจูŠูƒูˆู† ุฅูŠุด ู…ุณุชุทูŠู„ .. ู…ุณุชุทูŠู„ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุชู†ูู‚ู‡
492
+
493
+ 124
494
+ 00:10:30,650 --> 00:10:38,190
495
+ ุจูŠุจู‚ู‰ ู…ุณุชุทูŠู„ ู„ุฃ
496
+
497
+ 125
498
+ 00:10:38,190 --> 00:10:44,350
499
+ ุจุชุบูŠุฑุด ู‡ุฐุง ุจูŠูƒูˆู† ู…ุนุฏู†ู‰ .. metal ุจุณ ููŠู‡ elasticity
500
+
501
+ 126
502
+ 00:10:44,350 --> 00:10:51,870
503
+ .. ููŠู‡ elasticity ุงู„ุขู† ุงู„ุดูƒู„ ุจูŠุฏุงูˆูŠุฃุญุณู† ุดูƒู„ ุนุดุงู†
504
+
505
+ 127
506
+ 00:10:51,870 --> 00:10:57,870
507
+ ูŠูˆุฒุน ุงู„ุถุบุท ุจูŠุญุงูˆู„ ูŠุชุฏูˆุฑ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุฏูˆูŠุฑ ุจูŠุตูŠุฑ
508
+
509
+ 128
510
+ 00:10:57,870 --> 00:11:01,850
511
+ ู„ู‡ ุฅูŠู‡ ุนุดุงู† ุญุฑูƒุฉ ู„ุฅู† ู…ู† ู‡ู†ุง fixed ูˆ ู…ู† ู‡ู†ุง fixed
512
+
513
+ 129
514
+ 00:11:01,850 --> 00:11:08,290
515
+ ู…ุงุจู…ุณูƒูˆุง ูƒูˆูŠุณ ู‡ู†ุง ููƒู„ ู…ุง ู†ุจุนุฏ ูƒู„ ู…ุง ูŠุญุงูˆู„ ูŠุชุญุฑูƒ
516
+
517
+ 130
518
+ 00:11:08,290 --> 00:11:15,590
519
+ ูุงู„ุญุฑูƒุฉ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ูู‡ูˆ ูุนู„ูŠุง ู…ุชุญุฑูƒุช ู„ุฃ ูุนู„ูŠุง
520
+
521
+ 131
522
+ 00:11:15,590 --> 00:11:20,270
523
+ ุงู„ุทุฑู ู‡ุฐุง ู…ุชุญุฑูƒู…ู† ู‡ู†ุง ุซุงุจุช ูŠุนู†ูŠ ุงู†ุช ุนู†ุฏูƒ ู‡ู†ุง ุดุงูŠู
524
+
525
+ 132
526
+ 00:11:20,270 --> 00:11:24,650
527
+ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ูˆุฑุง ุงู„ู…ุคุดุฑ ูˆุฑุง ุงู„ู…ุคุดุฑ ููŠู‡
528
+
529
+ 133
530
+ 00:11:24,650 --> 00:11:30,350
531
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ู‡ุฐู‡ ูˆุฑุง ุงู„ู…ุคุดุฑ ุดุงูŠู ูƒูŠู ู‡ุฐู‡ ู…ุจุณูˆุทุฉ ู…ู†
532
+
533
+ 134
534
+ 00:11:30,350 --> 00:11:35,170
535
+ ู‡ู†ุง ูˆู‡ู†ุง ุนู†ุฏูƒ ู…ุซู„ุง ุงู†ุง ุจู‚ูŠุณ ููŠ ู‡ุฐู‡ ุงู†ุจูˆุจ ุงู†ุง ุจูƒูˆู†
536
+
537
+ 135
538
+ 00:11:35,170 --> 00:11:46,070
539
+ ุนุงู…ู„ ุญุฑู T ู‡ู†ุง ูˆู…ุณู†ู†ุฉ ู‡ุฐู‡ ุงู†ุจูˆุจ ุนู†ุฏู‡ ู…ุธุงุฑ
540
+
541
+ 136
542
+ 00:11:46,070 --> 00:11:46,890
543
+ ุฏู‚ุช ุจุฏุฎู„ ู…ู† ู‡ู†ุง
544
+
545
+ 137
546
+ 00:11:50,350 --> 00:11:56,070
547
+ ูุงู„ุถุบุท ุงุฑุชูุน ู‡ุงุฏ ุจุชุชุญุฑูƒ ูˆุฑุงู‡ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ู‰ ู‡ู‰
548
+
549
+ 138
550
+ 00:11:56,070 --> 00:12:02,770
551
+ ุงู„ู„ู‰ ู‡ุงุฏู‰ ู‡ู†ุนู…ู„ู‡ุง ุงู†ุช ู…ุด ุดุงูŠูู‡ุง ูˆููŠ ุนู†ุฏูƒ ุชุฑุณ ู‡ู†ุง
552
+
553
+ 139
554
+ 00:12:02,770 --> 00:12:11,870
555
+ ูˆููŠ ุนู†ุฏูƒ ุงู„ู„ู‰ ู‡ูˆ ุชุฑุณ ุงุด ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ู‡ุงุฏ ูŠุชุญุงูˆู„ ุชุญุฑูƒ
556
+
557
+ 140
558
+ 00:12:11,870 --> 00:12:17,190
559
+ ุจุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุญุงูˆู„ ุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุดุฏ ู‡ุฐุง ุจูŠุญุงูˆู„ ุชุญุฑูƒ
560
+
561
+ 141
562
+ 00:12:17,190 --> 00:12:21,730
563
+ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ู‡ุฐุง ุจูŠุฏูˆุฑ ุฅูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑ ุงู„ุณุงุนุฉ
564
+
565
+ 142
566
+ 00:12:21,730 --> 00:12:26,450
567
+ counter clockwise ู‡ุฐุง ุจูŠุจู‚ู‰ ู†ุชูˆุญุฏ ูˆุฑู‚ ุฅูŠุดุŸ ุนูƒุณู‡
568
+
569
+ 143
570
+ 00:12:26,450 --> 00:12:32,110
571
+ ุฅุฐุง ู‡ุฐุง counter ู‡ุฐุง clockwise clockwise ุจุฑูุน ุฅูŠุด
572
+
573
+ 144
574
+ 00:12:32,110 --> 00:12:38,830
575
+ ุงู„ู…ุคุดุฑุŸ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ู†ุนู…
576
+
577
+ 145
578
+ 00:12:46,880 --> 00:12:50,820
579
+ ุฃูŠูˆุฉ ุจูŠุนุทูŠ ุถุบุท ุฒูŠุงุฏุฉ ุนู„ู‰ ุงู„ liquid ู„ุฃ ุฏู‡ liquid
580
+
581
+ 146
582
+ 00:12:50,820 --> 00:12:55,300
583
+ ู†ุงุดูŠ ุทุจุนุง ู‡ูˆ ุงู„ physical constraints ุงู„ู„ูŠ ุจุญูƒูŠู‡
584
+
585
+ 147
586
+ 00:12:55,300 --> 00:12:58,140
587
+ ุตุญูŠุญ physical constraints ุฃู†ุง ู…ุงู†ุง ุฃู‚ูŠุต ุถุบุท ูู…ุชุฑุง
588
+
589
+ 148
590
+ 00:12:58,140 --> 00:13:03,200
591
+ ุฃูŠู‡ ูƒูŠู ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท ุงู„ุญู‚ูŠู‚ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท
592
+
593
+ 149
594
+ 00:13:03,200 --> 00:13:07,580
595
+ ุงู„ุญู‚ูŠู‚ูŠ ุจุณ ุงู„ุชุฃุซูŠุฑ ุจูŠูƒูˆู† insignificant ูˆูƒู„
596
+
597
+ 150
598
+ 00:13:07,580 --> 00:13:11,040
599
+ research ุจูŠุตูŠุฑ ุนุดุงู† ุชุชู‚ู„ู„ ู…ู† ุงู„ู…ุคุซุฑุงุช ู‡ุฐู‡ ุงูˆ
600
+
601
+ 151
602
+ 00:13:11,040 --> 00:13:16,850
603
+ ู…ุงุชุชู‚ู„ู„ุด ุงูˆ ุชุฎุฏู‡ุง ููŠ ุงู„ุงุนุชุจุงุฑ ููŠ ุงู„ designูŠุนู†ูŠ
604
+
605
+ 152
606
+ 00:13:16,850 --> 00:13:23,090
607
+ ู…ุซู„ุง ุงู„ู‚ุฑุงูŠุฉ ู…ุซู„ุง ุชุทู„ุน ู…ุนุงูƒ ู…ูŠุฉ
608
+
609
+ 153
610
+ 00:13:23,090 --> 00:13:30,570
611
+ ู…ุซู„ุง ุจุณ ู‡ูŠ ุงู„ุตุญ ู…ุซู„ุง ุชุณุนูŠู† ู…ุซู„ุง ุฃูˆ ู…ูŠุฉ ูˆ ุนุดุฑุฉ ู‡ุฐุง
612
+
613
+ 154
614
+ 00:13:30,570 --> 00:13:35,270
615
+ ุดุบู„ ุชุงู†ูŠ ุงู„ู„ูŠ ุจุชุญูƒูŠ ุงู„ุชูุงุตูŠู„ ุญุงู„ูŠุง ุฃูƒูŠุฏ ุจุชุฃุซุฑ
616
+
617
+ 155
618
+ 00:13:44,310 --> 00:13:49,070
619
+ ุทุจ ุงุญู†ุง ู‡ู†ุง ู…ุด ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ design how ุช design ุงู„
620
+
621
+ 156
622
+ 00:13:49,070 --> 00:13:53,470
623
+ gauge ู…ุด ู…ูˆุถูˆุน ุงู„ course ู‡ุฐุง ู…ูˆุถูˆุน ุงูŠุด courseุŸ
624
+
625
+ 157
626
+ 00:13:53,470 --> 00:13:57,450
627
+ ู…ูŠุฌุฑู…ุช .. ู…ู…ูƒู† ุชุนู…ู„ design ู„ู„ gaugeุŒ ู…ู…ูƒู† ุชุฎุชุงุฑ ุงู„
628
+
629
+ 158
630
+ 00:13:57,450 --> 00:14:03,090
631
+ section ุตุญุŒ ุงู„ุฒูˆุงุฏ ุจุชุงุนุชู‡ ุตุญุŒ ุงู„ุดูƒู„ ุงู„ุจูŠุถุงูˆูŠ ุตุญุŒ
632
+
633
+ 159
634
+ 00:14:03,090 --> 00:14:07,770
635
+ ุงู„ุณู…ุงูƒุฉ ุจุชุงุนุชู‡ุงู„ material ุงู„ links ุงู„ snappy
636
+
637
+ 160
638
+ 00:14:07,770 --> 00:14:11,370
639
+ ู„ุชูุงุตูŠู„ ุงู„ module ุนุฏุฏู‡ุง ูˆ ุงู„ู‚ุทุฑ ูƒู„ู‡ุง ุชูุงุตูŠู„ ู‡ุฐุง
640
+
641
+ 161
642
+ 00:14:11,370 --> 00:14:14,850
643
+ ุงุญู†ุง .. ุงุญู†ุง ููŠ ุงู„ูƒูˆุฑุณุฉ ุฏู‡ ุงุญู†ุง ู…ุงุจู†ุนู…ู„ุด design ู„
644
+
645
+ 162
646
+ 00:14:14,850 --> 00:14:18,930
647
+ gauges ุงูˆ ู„ุฃุฌุฒุฉ ู‚ูŠุงุณูŠุฉ ุงุญู†ุง ุจู†ุดูˆู ูƒูŠู ู†ุณุชุฎุฏู…
648
+
649
+ 163
650
+ 00:14:18,930 --> 00:14:23,550
651
+ ุงู„ุฃุฌุฒุฉ ู‡ุฐู‡ ูˆ ูƒูŠู ู†ุดูˆู ู…ุฏู‰ ุฏู‚ุชู‡ุง ูˆ error analysis
652
+
653
+ 164
654
+ 00:14:23,550 --> 00:14:27,750
655
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ error analysis ุฏุฑุณู†ุงู‡ chapter ุงู„ุณุงุจู‚
656
+
657
+ 165
658
+ 00:14:27,750 --> 00:14:32,430
659
+ chapter ุชู„ุงุชุฉ ุงุญู†ุง ุงู„ูƒูˆุฑุณูŠุฉ ุฏู‡ ู…ุชุฎุตุต ุจูŠุงุด ุจุนู„ู…
660
+
661
+ 166
662
+ 00:14:32,430 --> 00:14:35,990
663
+ ุงู„ู‚ูŠุงุณุงุช ู†ูุณู‡ู…ุด ุจุงู„design ุทุจุนุง ู‡ู†ูุถู„ู‡ ููŠ ุงู„ุขุฎุฑ
664
+
665
+ 167
666
+ 00:14:35,990 --> 00:14:43,850
667
+ product ู…ู…ูƒู† ุชุนู…ู„ู‡ design ูˆูŠู„ู‡ ุญุณุงุจุงุช ู…ุนู†ุงุชู‡
668
+
669
+ 168
670
+ 00:14:43,850 --> 00:14:47,250
671
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ู…ุถุญูƒุชุงู† ุฏูŠ ู„ู…ุง ุชุดู‡ุฑ ููŠ ุงู„
672
+
673
+ 169
674
+ 00:14:47,250 --> 00:14:50,890
675
+ series Z ู‡ุฐุง ุจุชุชุญุฑูƒ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ ู…ุนู†ุงุชู‡ ุงู„ link
676
+
677
+ 170
678
+ 00:14:50,890 --> 00:14:55,190
679
+ ู‡ุฐุง ู‡ุชู…ุดูŠ ู‡ูŠูƒ ู‡ุชุชุญุฑูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ุณูŠุฑ ู‡ูŠุฏูˆุฑ
680
+
681
+ 171
682
+ 00:14:55,190 --> 00:15:02,150
683
+ ุงูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑูŠ ุงู„ุณูŠุนุฉ ู‡ุฐุง ุชุฑุณ ู‡ุฐุง ู‡ุฏูˆุฑ ุจุฅูŠุดุŸ
684
+
685
+ 172
686
+ 00:15:03,420 --> 00:15:08,860
687
+ ุจุงุชุฌุงู‡ู‡ุง ู‚ุงู„ูˆุง ุณูŠู…ุง ู†ุงุชูˆ ุงู„ู…ุคุดุฑ ูŠุงุด ู‡ูŠุชุญุฑูƒ
688
+
689
+ 173
690
+ 00:15:08,860 --> 00:15:17,220
691
+ ู‡ุนุทูŠู†ุง ู‚ุฑุงุฉ ู‡ุฐุง
692
+
693
+ 174
694
+ 00:15:17,220 --> 00:15:28,280
695
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ bored tube gauge ุทูŠุจ
696
+
697
+ 175
698
+ 00:15:28,280 --> 00:15:28,880
699
+ ุงู„ tip
700
+
701
+ 176
702
+ 00:15:31,750 --> 00:15:42,270
703
+ ุงู„ู€ tip displacement ู‡ุงูŠ ุงู„ู€ tip ุงู„ู€
704
+
705
+ 177
706
+ 00:15:42,270 --> 00:15:47,070
707
+ displacement ุงู„ู„ูŠ ุฒุงู‡ุง ุชุงุนุช ุงู„ุทุฑู ู‡ุฐุง ุจุชุบูŠุฑ ุชู‚ุฑูŠุจุง
708
+
709
+ 178
710
+ 00:15:47,070 --> 00:15:54,550
711
+ ุฎุทูŠุง ู…ุน ุงู„ pressure tip motion ุงูˆ displacement
712
+
713
+ 179
714
+ 00:15:54,550 --> 00:16:03,150
715
+ ุชุบูŠุฑ ุฎุท ู…ุน ุงู„ pressureุทุจุนุง ุชุญุช ู‡ุฐู‡ ู„ู…ุง ุงู†ุช ูƒ
716
+
717
+ 180
718
+ 00:16:03,150 --> 00:16:05,990
719
+ designer ู…ุตู…ู… ุจุฏูƒ ุชุตู…ู… ุงู„ gauge ุงู†ุช ุจุชุดูˆู ุงู„ุดุฑูƒุฉ
720
+
721
+ 181
722
+ 00:16:05,990 --> 00:16:11,710
723
+ ุจุชุนู…ู„ ุงู„ gauges ู‡ุฐู‡ ุชุญุช linearly ููŠ ุดุบู„ ูƒุชูŠุฑ ููŠ
724
+
725
+ 182
726
+ 00:16:11,710 --> 00:16:16,090
727
+ ุงู„ุชูุงุตูŠู„ ุนุดุงู† ุชุถู…ู† ุงู†ู‡ ุงู„ุชุบูŠุฑ ุจูŠู† ุงู„ tip
728
+
729
+ 183
730
+ 00:16:16,090 --> 00:16:21,190
731
+ displacement ูˆ ุงู„ pressure is linear ุนุดุงู† ุงู† ุงู„
732
+
733
+ 184
734
+ 00:16:21,190 --> 00:16:25,610
735
+ linear ููŠู‡ ุชูุงุตูŠู„ ุงู„ material ุงู„ุณู…ุงูƒุฉ ุงู„ุดูƒู„
736
+
737
+ 185
738
+ 00:16:25,610 --> 00:16:31,320
739
+ ุงู„ุจูˆุถูˆูŠ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ .. ููŠู‡ ุชูุงุตูŠู„ุนุดุงู† ูŠูƒูˆู†
740
+
741
+ 186
742
+ 00:16:31,320 --> 00:16:37,240
743
+ linear ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ู‡ู†ุง ูƒูŠู ู…ูŠุซุจุชู‡ุง ุทุจุนุง ู…ุงููŠุด
744
+
745
+ 187
746
+ 00:16:37,240 --> 00:16:40,440
747
+ ุงูŠุด ุงุณู…ู‡ ูŠุนู†ูŠ ู‡ุฐุง schematic ู…ุงููŠุด ุงุณู…ู‡ sharp edge
748
+
749
+ 188
750
+ 00:16:40,440 --> 00:16:50,300
751
+ ู‡ุฐุง ุจุชูƒูˆู† ุงูŠู‡ ุงุด ููŠู‡ fillet ู…ุฏูˆุฑ ุชุฏูˆูŠุฑ ุทุฑูŠู‚ุฉ
752
+
753
+ 189
754
+ 00:16:50,300 --> 00:16:56,100
755
+ ุชุซุจูŠุช ุงู„ details ู‡ู†ุง ููŠู‡ุง ุชูุงุตูŠู„ ุจุฑุถู‡ ู‡ุฐุง ุงุณู…ู‡
756
+
757
+ 190
758
+ 00:16:56,100 --> 00:16:58,420
759
+ design ุงู„ู…ูˆุถูˆุน ุชุงู†ูŠ
760
+
761
+ 191
762
+ 00:17:02,990 --> 00:17:06,550
763
+ ุงู„ู€ boarding tube gauges ุจุชุบุทูŠ range ุชู‚ุฑูŠุจุง ู…ู† 100
764
+
765
+ 192
766
+ 00:17:06,550 --> 00:17:11,370
767
+ ูƒุจุณูƒุงู„ ู„ 150 ู…ูŠุฌุงุจุณูƒุงู„ ูŠุนู†ูŠ ุงู„ range ูˆุงุณุนุฉ ู…ู† 100
768
+
769
+ 193
770
+ 00:17:11,370 --> 00:17:17,170
771
+ ูƒุจุณูƒุงู„ ูŠุนู†ูŠ ู…ู† 10 ู…ูŠุฌุง ู„ 150 ู…ูŠุฌุง ูŠุนู†ูŠ ู…ู† 1 ุจุงุฑ
772
+
773
+ 194
774
+ 00:17:17,170 --> 00:17:26,090
775
+ ุชู‚ุฑูŠุจุง ู„ 1500 ุจุงุฑ ุทุจุนุง
776
+
777
+ 195
778
+ 00:17:26,090 --> 00:17:29,230
779
+ ุงู„ boarding gauge ุงุณุชุฎุฏุงู…ู‡ ูŠุนู†ูŠ ุจูŠูƒูˆู† ู…ููŠุฏ ู„ู…ุง ุงู„
780
+
781
+ 196
782
+ 00:17:29,230 --> 00:17:35,910
783
+ pressure ูŠูƒูˆู† staticุฃูˆ ุจุชุบูŠุฑ ุจุดูƒู„ ุจุทูŠุก ุฃู…ุง ุฅุฐุง
784
+
785
+ 197
786
+ 00:17:35,910 --> 00:17:40,870
787
+ ูƒุงู†ุช ุชุบูŠุฑ ุนู†ุฏ ู…ุตุฏุฑ ุงู„ pressure ุงู„ุชุบูŠุฑ ููŠู‡ ุณุฑูŠุน ุจุฏูƒ
788
+
789
+ 198
790
+ 00:17:40,870 --> 00:17:45,570
791
+ ุชุดูˆู ุทุฑู‚ ุชุงู†ูŠุฉ ู…ู† ุงู„ุดุบู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ู„ุฃุฑู‡ ููŠ
792
+
793
+ 199
794
+ 00:17:45,570 --> 00:17:51,670
795
+ ุงู„ู‚ุฑุงุกุงุช ุนู†ุฏูŠ friction ู‡ู†ุง ููŠ friction ุนู†ุฏูŠ ุงู„
796
+
797
+ 200
798
+ 00:17:51,670 --> 00:17:58,550
799
+ pins ููŠ friction ู‡ู†ุงููŠ friction ูˆููŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
800
+
801
+ 201
802
+ 00:17:58,550 --> 00:18:02,670
803
+ ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏู‡ friction ูˆููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
804
+
805
+ 202
806
+ 00:18:02,670 --> 00:18:07,510
807
+ backlash ุงู„ุงุณู†ุงู† ุจูŠูƒูˆู† ููŠู‡ุง ูุฑุงุบุงุช ูุงู„ backlash
808
+
809
+ 203
810
+ 00:18:07,510 --> 00:18:11,170
811
+ ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ hysteresis ูŠุนู†ูŠ ู„ู…ุง ู†ุถุบุท ูŠุฒูŠุฏ ุจูŠุญุงูˆู„
812
+
813
+ 204
814
+ 00:18:11,170 --> 00:18:14,550
815
+ ูŠุนุทูŠู†ุง ุงู„ู‚ุฑุงุกุฉ ู‚ู„ ู„ู…ุง ู†ุถุบุท ูŠู‚ู„ ุจูŠุญุงูˆู„ ูŠุนุทูŠู†ุง
816
+
817
+ 205
818
+ 00:18:14,550 --> 00:18:22,290
819
+ ุงู„ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ูุงู„ loading ุจูŠุฎุชู„ู ุนู† ุงู„ unloading
820
+
821
+ 206
822
+ 00:18:22,290 --> 00:18:28,290
823
+ ุจูŠุนู…ู„ hysteresisุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ุจุฑุถู‡ ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช
824
+
825
+ 207
826
+ 00:18:28,290 --> 00:18:31,690
827
+ ุงู„ู„ูŠ ุนู† ุงู„ุณู†ุจ ุงูˆ .. ุงูŠูˆุฉ ู„ุงู† ุงู†ุช .. ุงู†ุช ู„ู…ุง ุชูŠุฌูŠ
828
+
829
+ 208
830
+ 00:18:31,690 --> 00:18:37,550
831
+ ุชุซุจุช ู„ู…ุง ุช .. ุช .. ุชุญุท ุงู„ gauge ุงู„ู…ุตู†ุน ุจูŠุญูƒูˆ ..
832
+
833
+ 209
834
+ 00:18:37,550 --> 00:18:42,950
835
+ ุญูƒูŠู„ูƒ ูƒูŠู ุชุนู…ู„ ุงู„ connection ุงูŠูˆุฉ ูŠุนู†ูŠ ู†ุงุณ ุจูŠุญูƒูŠู„ูƒ
836
+
837
+ 210
838
+ 00:18:42,950 --> 00:18:50,690
839
+ ุงู† ู‡ู†ุง ู‡ุชุทู„ุน ู…ุซู„ุง ุงุฐุง ุนู†ุฏูŠ ุงู„ุจูˆุจ ุจูŠูƒูˆู† ูŠุนุทูŠู„ูƒ
840
+
841
+ 211
842
+ 00:18:50,690 --> 00:18:53,930
843
+ ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ how to connect
844
+
845
+ 212
846
+ 00:18:56,900 --> 00:19:01,340
847
+ ู‡ุฐุง ุชูƒูˆู† ุนู…ู„ ุญุณุงุจ ููŠ ุงู„ design ุจุฅู†ูุนุด ุชุนู…ู„ ุงู„
848
+
849
+ 213
850
+ 00:19:01,340 --> 00:19:06,000
851
+ connection ูˆ ุชูƒูˆู† ุฏุงุฎู„ ุงู„ู„ูŠ ู‡ูˆ ุดูˆูŠุฉ ุฒูŠ ู‡ูŠูƒ ูˆุงุถุญ
852
+
853
+ 214
854
+ 00:19:06,000 --> 00:19:14,170
855
+ ุงูŠูˆุฉ ุงู„ุงู† ุงู„ torque levelุฃูŠูˆุฉ ุจุชุนูŠุฑ .. ุจุชุนูŠุฑ ุนู„ู‰
856
+
857
+ 215
858
+ 00:19:14,170 --> 00:19:17,410
859
+ ุงู„ torque level ู…ุนูŠู† ู‡ุฐุง ุงูŠู‡ ุงู„ุนู„ุงู‚ุฉ ุจุงู„ุณู† ูŠุนู†ูŠ
860
+
861
+ 216
862
+ 00:19:17,410 --> 00:19:21,430
863
+ ุจูŠูƒูˆู† ูƒุงุชุจ ู„ูƒ ุงู„ู…ุตู†ุน ู‡ุฐุง ุจูŠุณูƒุฑ ุนู„ู‰ ู…ุซู„ุง ุงู„ .. ุงู„
864
+
865
+ 217
866
+ 00:19:21,430 --> 00:19:24,550
867
+ .. ุงู„ .. ุนู„ู‰ ู…ุซู„ุง ุนู„ู‰ ู„ุฃ ุงู„ torque ุจุชุญูƒูŠู‡ุง ุชู‡ูŠุฆุง
868
+
869
+ 218
870
+ 00:19:24,550 --> 00:19:28,590
871
+ ู…ุซู„ุง ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุจุชุนูŠุฑ ุนู†ุฏูƒ ุงู„ torch ุงู‡
872
+
873
+ 219
874
+ 00:19:28,590 --> 00:19:32,910
875
+ ุจุชุนูŠุฑู‡ ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุงูˆู„ ู…ุงุชุตู„ ู…ุงุฆุฉ ู†ูŠูˆุช
876
+
877
+ 220
878
+ 00:19:32,910 --> 00:19:39,290
879
+ ุงู„ู…ุชุฑ ุจูŠุตูŠุฑ ูŠู„ู ุนู„ู‰ ุงู„ูุงุถุจ ูˆ ุฏู‡ torching ู‡ุฐุงู…ูˆุฌูˆุฏ
880
+
881
+ 221
882
+ 00:19:39,290 --> 00:19:48,630
883
+ ู‡ุฐุง ุนุงุฏุฉ ุงู„ุดุฏ ุงู„ุฒุงูŠุฏ ู…ุด ูƒูˆูŠุณ ูˆ ุงุฐุง ูƒุงู†ุช ุชูˆุฑุฌูŠู† ุงูˆ
884
+
885
+ 222
886
+ 00:19:48,630 --> 00:19:51,890
887
+ ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ุจุฑุถู‡ ู…ุด ูƒูˆูŠุณ ุงุฐุง ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ู…ู…ูƒู†
888
+
889
+ 223
890
+ 00:19:51,890 --> 00:19:57,350
891
+ ูŠุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุตุญ ูˆ ุงุฐุง ุงูƒุชุฑ ู…ู† ุงู„ู„ุงุฒู… ู…ู…ูƒู† ูŠุณูˆูŠ
892
+
893
+ 224
894
+ 00:19:57,350 --> 00:20:04,370
895
+ ูŠุตูŠุฑ ูƒุณุฑ ู„ู„ุณู† ุตุงุฑ ูƒุณุฑ ู„ู„ุณู† ุฎุฑุจุช ูˆ ู„ูˆ ู…ุงุงู†ุชุจู‡ุชุด
896
+
897
+ 225
898
+ 00:20:04,370 --> 00:20:09,020
899
+ ู‡ุชุตูŠุฑ ุชุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุชุณุฑูŠุจูู…ุด ูƒูˆูŠุณ ุดุฏ ูƒุชูŠุฑ ุงุญู†ุง
900
+
901
+ 226
902
+ 00:20:09,020 --> 00:20:12,380
903
+ ุฎุดุชูˆุง ุนู„ู‰ ู…ุงุฏุฉ ุชุตู…ูŠู… ุงู„ู‡ุงุชู machine design ู‡ูŠูƒ
904
+
905
+ 227
906
+ 00:20:12,380 --> 00:20:16,520
907
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ design ุงู„ุชุงู†ูŠ
908
+
909
+ 228
910
+ 00:20:16,520 --> 00:20:23,200
911
+ ุงู„ุงู† ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ุฃุฌุณุณ ุงู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ ุงู„ ุงู„
912
+
913
+ 229
914
+ 00:20:23,200 --> 00:20:27,340
915
+ diaphragms elastic diaphragms diaphragm ูŠุนู†ูŠ ุบุดุงุก
916
+
917
+ 230
918
+ 00:20:27,340 --> 00:20:31,640
919
+ ุจูŠูƒูˆู† ุฏูŠ basically ุจูŠูƒูˆู† ุฏูŠ ุบุดุงุก
920
+
921
+ 231
922
+ 00:20:42,100 --> 00:20:48,960
923
+ ูˆ ุงู„ุบุดุงุก ู…ุซุจุช ุจุทุฑูŠู‚ุฉ ู…ุง .. ุงุฐุง ุนู†ุฏู‡ ู‡ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท
924
+
925
+ 232
926
+ 00:20:48,960 --> 00:20:54,600
927
+ ุงู„ู„ูŠ ููŠู‡ ุนู†ุฏู‡ ู‡ูŠ pressure ู†ู†ุชุฌ
928
+
929
+ 233
930
+ 00:20:54,600 --> 00:21:00,420
931
+ .. ู†ู†ุชุฌ ุงู„ pressure ุงุด ู‡ุชุตูŠุฑ ููŠู‡ุŸ ู‡ุชุตูŠุฑ deflection
932
+
933
+ 234
934
+ 00:21:00,420 --> 00:21:06,340
935
+ ู‡ุชุตูŠุฑ
936
+
937
+ 235
938
+ 00:21:06,340 --> 00:21:08,700
939
+ ุงูŠู‡ ุงุดุŸ deflection
940
+
941
+ 236
942
+ 00:21:12,590 --> 00:21:18,110
943
+ ุงู„ู€ deflection ู‡ุฐุง ู‚ูŠู…ุชู‡ ู…ุชู†ุงุณุจุฉ ู…ุน ู‚ูŠู…ุฉ ุงู„ุถุบุท
944
+
945
+ 237
946
+ 00:21:18,110 --> 00:21:25,550
947
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ูŠุฒูŠุฏ ุงู„ุถุบุท ุงู„ pressure is deflection ูˆ
948
+
949
+ 238
950
+ 00:21:25,550 --> 00:21:28,690
951
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ deflection ูˆ ุงู„ pressure ุทุจุนุง ุฅุฐุง
952
+
953
+ 239
954
+ 00:21:28,690 --> 00:21:33,010
955
+ ุชุฑูˆุญ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ู‡ูŠ plate
956
+
957
+ 240
958
+ 00:21:33,010 --> 00:21:36,610
959
+ theory
960
+
961
+ 241
962
+ 00:21:36,610 --> 00:21:39,750
963
+ plate
964
+
965
+ 242
966
+ 00:21:39,750 --> 00:21:47,270
967
+ ุงูˆthin plate theory ุจูŠูƒูˆู†
968
+
969
+ 243
970
+ 00:21:47,270 --> 00:21:50,090
971
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ุงู„ู…ุนุงุฏู„ุงุช ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress ุงู„
972
+
973
+ 244
974
+ 00:21:50,090 --> 00:21:55,210
975
+ stress ุจูŠุนู…ู„ strain ูู…ู…ูƒู† ุงู†ุง ู…ุจุงุดุฑุฉ ุงู†ุง ุงู„ delta
976
+
977
+ 245
978
+ 00:21:55,210 --> 00:21:59,990
979
+ ุงู„ deflection ุฏู‡ ุงู„ deflection ุงุญุฏ ุงู„ุทุฑู‚ ุงู†ู‡ ุงุญุงูˆู„
980
+
981
+ 246
982
+ 00:21:59,990 --> 00:22:06,170
983
+ somehow ุงู„ motion for some indicator ูˆ ุงู‚ูŠุณ ุงูŠุด ุงู„
984
+
985
+ 247
986
+ 00:22:06,170 --> 00:22:10,690
987
+ pressure ุงูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงุญุท
988
+
989
+ 248
990
+ 00:22:11,870 --> 00:22:18,230
991
+ ุฃุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ูƒู‡ุฑุจุงุฆูŠุฉ ุฃุญุท ู…ุซู„ุง ู‡ู†ุง ุนู†ุฏูŠ ุฃุญุท
992
+
993
+ 249
994
+ 00:22:18,230 --> 00:22:26,590
995
+ stringage stringage ู†ุชูŠุฌุฉ ุฃู†ู‡ ุตุงุฑ deflection ู…ุซุจุช
996
+
997
+ 250
998
+ 00:22:26,590 --> 00:22:33,790
999
+ ุฃูŠูˆุฉ ุทูˆู„ู‡ ู‡ุฒูŠุฏ ู…ุซู„ุง ุทูˆู„ุฉ ุญุฑูŠุฉ ู…ุซู„ุง ู‡ุงูŠ ุฃู„ ูˆุงุญุฏ
1000
+
1001
+ 251
1002
+ 00:22:33,790 --> 00:22:43,000
1003
+ ู‡ุตูŠุฑ ุทูˆู„ู‡ ุฃู„ ุงุชู†ูŠู† ูˆ Delta ุณูˆุงุก ุฃู„ ุงุชู†ูŠู†-L ูˆุงุญุฏ
1004
+
1005
+ 252
1006
+ 00:22:43,000 --> 00:22:49,140
1007
+ ูˆุงู„ู€ strain ุงู„ู„ูŠ ุตุงุฑ ุงู„ู€ change ููŠ ุงู„ length ู†ุชูŠุฌุฉ
1008
+
1009
+ 253
1010
+ 00:22:49,140 --> 00:22:55,400
1011
+ Delta Delta L ุจูŠูƒูˆู† ุฏูŠ Delta ุนุงุด R ุนุงุด ุงู„ R
1012
+
1013
+ 254
1014
+ 00:22:55,400 --> 00:22:59,680
1015
+ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ูุงู†ุง ุงู„ู„ูŠ
1016
+
1017
+ 255
1018
+ 00:22:59,680 --> 00:23:04,760
1019
+ ุจู‚ูŠุณู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ุฐุง ู‚ูŠุงุณู‡ ุณู‡ู„ ูƒุชูŠุฑ ู„ุฃู† ููŠ
1020
+
1021
+ 256
1022
+ 00:23:04,760 --> 00:23:08,160
1023
+ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ change ููŠ ุงู„ resistance ู…ุน ุงู„ change
1024
+
1025
+ 257
1026
+ 00:23:08,160 --> 00:23:12,730
1027
+ ููŠ ุงู„ length ูˆ ุงู„ change ููŠ ุงู„ lengthููŠ ุนู„ุงู‚ุฉ ุฅู„ู‡
1028
+
1029
+ 258
1030
+ 00:23:12,730 --> 00:23:18,870
1031
+ ุจุงู„ stress ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ูƒู…ุงู† ููŠ ุงู„
1032
+
1033
+ 259
1034
+ 00:23:18,870 --> 00:23:23,410
1035
+ pressure ุทุจุนุง ุจุฏูŠุด ุงู†ุง ู„ู…ุง ุงุฑุณู… ุงู„ stress strain
1036
+
1037
+ 260
1038
+ 00:23:23,410 --> 00:23:28,910
1039
+ curve ู„ู„ู…aterial ุจุชุงุนุชู‡ุง ุฏู‡ ู‡ุงูŠ stress ูˆ ู‡ุงูŠ
1040
+
1041
+ 261
1042
+ 00:23:28,910 --> 00:23:39,150
1043
+ strain ู‡ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ mechanics of material ู‡ุชุนุฑูุด
1044
+
1045
+ 262
1046
+ 00:23:39,150 --> 00:23:48,230
1047
+ ูŠุนู†ูŠ stressูˆ strain ุทูŠุจ ุงู„ deflections ู‡ุชูƒูˆู† ุจุญูŠุซ
1048
+
1049
+ 263
1050
+ 00:23:48,230 --> 00:23:52,210
1051
+ ู…ุงุฏุฎู„ุด ู„ plastic region ูŠุนู†ูŠ ุงู†ุง ุงุธู† ููŠ ุงูŠุด ููŠ ุงู„
1052
+
1053
+ 264
1054
+ 00:23:52,210 --> 00:23:57,230
1055
+ elastic region ู„ุงู† ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ stress ูˆ ุงู„
1056
+
1057
+ 265
1058
+ 00:23:57,230 --> 00:24:02,110
1059
+ strain ููŠ ุงู„ elastic region sigma ุจุงู„ุณูˆุงุก E ููŠ
1060
+
1061
+ 266
1062
+ 00:24:02,110 --> 00:24:08,950
1063
+ ุฃุจุณุฑู… ุงู„ sigmaุทุจุนุง ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ slope ุฏู‡ ุงู„
1064
+
1065
+ 267
1066
+ 00:24:08,950 --> 00:24:11,990
1067
+ linear portion ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ modulus of
1068
+
1069
+ 268
1070
+ 00:24:11,990 --> 00:24:16,850
1071
+ elasticity ูุจุฏุง ุชูƒูˆู† ููŠ ุงู„ .. ููŠ ุงู„ ุทุจุนุง ุงู„ู„ูŠ ุงู„ู„ูŠ
1072
+
1073
+ 269
1074
+ 00:24:16,850 --> 00:24:23,210
1075
+ ุฃู‚ุนุฏ ุฃุดู…ู„ู‡ุง linear ูˆ ุงู„ pressure somehow ุงู„
1076
+
1077
+ 270
1078
+ 00:24:23,210 --> 00:24:27,270
1079
+ pressure ู‡ู†ุง ุจูŠุนู…ู„
1080
+
1081
+ 271
1082
+ 00:24:27,270 --> 00:24:35,670
1083
+ stress ุจูŠุนู…ู„ ุนู†ุฏูƒ ุจูŠุนู…ู„ ู…ุง ูŠุณู…ู‰ ู„ู…ุง ุฃุดุฏ ู†ู‡ูŠุฃูƒ ุฃู†ุง
1084
+
1085
+ 272
1086
+ 00:24:35,670 --> 00:24:36,270
1087
+ ุฃูƒุจุฑู‡ุง
1088
+
1089
+ 273
1090
+ 00:24:39,280 --> 00:24:42,600
1091
+ ุจุฏูŠ ุงุนู…ู„ ุจุนุฏ ุงู„ู€ deformation ู‡ุณูŠุฑ ุดูƒู„ ุงู„ู€ membrane
1092
+
1093
+ 274
1094
+ 00:24:42,600 --> 00:24:48,260
1095
+ ุทุจุนุง
1096
+
1097
+ 275
1098
+ 00:24:48,260 --> 00:24:55,880
1099
+ ู‡ูŠูƒ ู‡ู†ุง ููŠ support ูˆู‡ู†ุง ููŠ support ู‡ุนู…ู„
1100
+
1101
+ 276
1102
+ 00:24:55,880 --> 00:25:03,100
1103
+ ู„ูŠู‡ sigma tangential ุฃูˆ ุจูŠุณู…ูˆู‡ุง sigma hoop hoop
1104
+
1105
+ 277
1106
+ 00:25:03,100 --> 00:25:09,040
1107
+ stress tangential stressุชู†ุฌุณุฑ ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ูุจุตูŠุฑ
1108
+
1109
+ 278
1110
+ 00:25:09,040 --> 00:25:14,720
1111
+ stress ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ุจุงู„ุดูŠุก ุจูŠุตูŠุฑ stress ูŠุนู†ูŠ ุงู†ุช
1112
+
1113
+ 279
1114
+ 00:25:14,720 --> 00:25:19,320
1115
+ ู„ูˆ ูˆุงุญุฏ ู…ุณูƒุช ู…ู† ุงูŠุฏู‡ ูˆ ุญุงูˆู„ ูŠุณุญุจูƒ ูˆ ุงู†ุช ุถุงู„ุชูƒ ูˆ
1116
+
1117
+ 280
1118
+ 00:25:19,320 --> 00:25:22,380
1119
+ ู…ุงุงุณุชุฌุจุชุด ู…ุนุงู‡ ู„ูˆ ู…ุงุดูŠุช ู…ุนุงู‡ ู…ุงููŠุด ุงุฌู‡ุงุฏ ุนู„ู‰ ุงูŠุฏูƒ
1120
+
1121
+ 281
1122
+ 00:25:22,380 --> 00:25:26,700
1123
+ ู„ูƒู† ุงุฐุง ุถ๏ฟฝ๏ฟฝู„ุชูƒ ุซุงุจุช ูˆ ุดุฏุชูƒ ู‡ุชุญุณ ููŠู‡ ุดุฏ ููŠ ุงูŠุฏูƒ ู‡ุฐุง
1124
+
1125
+ 282
1126
+ 00:25:26,700 --> 00:25:32,820
1127
+ ุงู„ stress ูŠุนู†ูŠ ู…ุงุชูƒุด ุชุชุญุฑูƒ ุงู†ุช ู…ุงุดูŠ ู…ู…ูƒู† ุญุชู‰ ูŠุตูŠุฑ
1128
+
1129
+ 283
1130
+ 00:25:32,820 --> 00:25:36,570
1131
+ ุนู†ุฏูƒ strains ุญุชุฉ ููŠ ุนุถู„ุงุช ุงูŠุฏูƒ ุชุดุฏ ุงูŠุฏูƒู†ุชูŠุฌุฉ ุงู„
1132
+
1133
+ 284
1134
+ 00:25:36,570 --> 00:25:42,090
1135
+ stress ู…ุงููŠุด stress ู…ุด ู‡ุชุดุฏ ุงู„ุนุถู„ุฉ ุตุญ ูุจุณูŠุฏูŠ
1136
+
1137
+ 285
1138
+ 00:25:42,090 --> 00:25:45,510
1139
+ tangential stress ููŠ ุนู„ุงู‚ุฉ tangential stress sigma
1140
+
1141
+ 286
1142
+ 00:25:45,510 --> 00:25:51,830
1143
+ tangential is a function of applied pressure ูˆู‡ุฐู‡
1144
+
1145
+ 287
1146
+ 00:25:51,830 --> 00:26:01,530
1147
+ ุงู„ relation is very well known ู…ุนุฑูˆูุฉ ูŠุนู†ูŠ ุงุฑูˆุญ
1148
+
1149
+ 288
1150
+ 00:26:01,530 --> 00:26:04,890
1151
+ ุนู„ู‰ ุงู„ thin plateุชุฑูˆุญ ุนู„ู‰ ุงู„ู€ mechanics of
1152
+
1153
+ 289
1154
+ 00:26:04,890 --> 00:26:07,270
1155
+ material ุฃูˆ advanced mechanics of material ุชูˆุฌุฏ
1156
+
1157
+ 290
1158
+ 00:26:07,270 --> 00:26:12,330
1159
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„
1160
+
1161
+ 291
1162
+ 00:26:12,330 --> 00:26:17,790
1163
+ diaphragms ุงู„ diaphragms ุจุชูŠุฌูŠ ุนู„ู‰ ู†ูˆุนูŠู† ุจุชูŠุฌูŠ
1164
+
1165
+ 292
1166
+ 00:26:17,790 --> 00:26:23,900
1167
+ ุงู„ู„ูŠ ู‡ูŠ flat diaphragms ู‡ุฐุง ุงู„ู†ุธุงู…flat diaphragms
1168
+
1169
+ 293
1170
+ 00:26:23,900 --> 00:26:29,980
1171
+ ุงู„ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ุฎุงุฑุฌ ู…ู† ู‡ู†ุง ุจูŠุฌูŠ ุจูŠุตูŠุฑ ููŠู‡ุงุด ุชู‚ูˆุณ
1172
+
1173
+ 294
1174
+ 00:26:29,980 --> 00:26:34,780
1175
+ ู‡ุฐุง flat diaphragms ูˆ ููŠู‡ corrugated corrugated
1176
+
1177
+ 295
1178
+ 00:26:34,780 --> 00:26:41,000
1179
+ ุงูŠุด ูŠุนู†ูŠ corrugated ุจูŠุฌูŠ ุฒูŠ ู‡ูŠูƒ ูŠุนู†ูŠ ู…ุชุนุฑุฌ ุจูŠุฌูŠ
1180
+
1181
+ 296
1182
+ 00:26:41,000 --> 00:26:47,200
1183
+ ุงูŠุด ู…ุชุนุฑุฌ ู…ุตุฏุฑ ุงู„ุถุบุท ุจูŠูƒูˆู† ุฌุง ู…ู† ู‡ู†ุง ู…ุตุฏุฑ ุงู„ุถุบุท
1184
+
1185
+ 297
1186
+ 00:26:47,200 --> 00:26:53,510
1187
+ ู‡ู†ุง ุงู„ pressureุงู„ุงู† ู…ู† ุงุถุบุท ุงุฏุฎู„ force ู…ู† ู‡ู†ุง
1188
+
1189
+ 298
1190
+ 00:26:53,510 --> 00:27:00,590
1191
+ ู‡ูŠุฏุบุท ุนู„ู‰ ู‡ุฐุง ู‡ุณุชูŠุฑ ููŠู‡ ุงูŠุงุด ุฏูู„ูŠูƒุดู†
1192
+
1193
+ 299
1194
+ 00:27:00,590 --> 00:27:06,250
1195
+ ุฏูู„ูŠูƒุดู† ู„ุงุญุธูŠู† ุงู„ link ู‡ุฐู‡ ุฏุงูุฑุงู…
1196
+
1197
+ 300
1198
+ 00:27:06,250 --> 00:27:09,850
1199
+ ู‡ุฐุง
1200
+
1201
+ 301
1202
+ 00:27:09,850 --> 00:27:14,550
1203
+ ุตุญูŠุญ
1204
+
1205
+ 302
1206
+ 00:27:14,550 --> 00:27:16,690
1207
+ ุจุนุฏูŠู† ู…ู…ูƒู† ู†ุนู…ู„ ูƒุฐุง ุทุจู‚ุฉ ุทุจู‚ุงุช
1208
+
1209
+ 303
1210
+ 00:27:20,850 --> 00:27:26,150
1211
+ ุงู„ุงู† ู‡ุงูŠ ุนู†ุฏูŠ link ุจุชุญุฑูƒ ุงู„ link ู‡ุฐู‡ ูŠุนู†ูŠ ู‡ุฐู‡
1212
+
1213
+ 304
1214
+ 00:27:26,150 --> 00:27:34,010
1215
+ ู…ุจุงุดุฑุฉ ู‡ูŠ ุนู†ุฏูŠ ู…ุฑูƒุฒ ุฏูˆุฑุงู† ู„ุฃู† ููŠ ุนู†ุฏูŠ link ุฒูŠ ู‡ูŠูƒ
1216
+
1217
+ 305
1218
+ 00:27:34,010 --> 00:27:37,270
1219
+ ูˆุนู†ุฏูŠ
1220
+
1221
+ 306
1222
+ 00:27:37,270 --> 00:27:41,530
1223
+ link ุชุงู†ูŠุฉ ูˆุนู†ุฏูŠ
1224
+
1225
+ 307
1226
+ 00:27:41,530 --> 00:27:48,210
1227
+ ู‡ู†ุง ุฅูŠุด link ู‡ุฐู‡ ูˆููŠ ุทุฑูู‡ุง ุฅูŠุด centersุงู„ุงู† ู„ู…ุง
1228
+
1229
+ 308
1230
+ 00:27:48,210 --> 00:27:53,870
1231
+ ู†ุฒู„ุช ุงู„ุถุบุท ู‡ุฏู‰ ู‡ุชุฑูุน ุฏุงูุฑุงู… ู„ุฃุนู„ู‰ ู„ู…ุง ุชุฑูุน ุฏุงูุฑุงู…
1232
+
1233
+ 309
1234
+ 00:27:53,870 --> 00:27:59,990
1235
+ ู„ุฃุนู„ู‰ ู„ู‡ุฏู‰ ู‡ุชุฏูุน ู‡ุฏู‰ ู‡ูŠุทู„ุน ุฒูŠ ู‡ูŠูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฏู‰
1236
+
1237
+ 310
1238
+ 00:27:59,990 --> 00:28:04,170
1239
+ ู‡ุชู…ุดูŠ ู‡ุชุทู„ุน ู„ุฃุนู„ู‰ ุงู„ุงู† ู‡ู†ุง ููŠ ู„ุญุธุฉ ู‡ู†ุง ู…ุฑูƒุฒ ุฏูˆุฑุงู†
1240
+
1241
+ 311
1242
+ 00:28:04,170 --> 00:28:08,770
1243
+ ู‡ู†ุง ู‡ุฏู‰
1244
+
1245
+ 312
1246
+ 00:28:08,770 --> 00:28:14,060
1247
+ ู‡ุณูŠุฑ ุงู„ rotation ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉู‡ุฐุง ุงู„ุชุฑุณ ุงู„ุตุบูŠุฑ
1248
+
1249
+ 313
1250
+ 00:28:14,060 --> 00:28:18,520
1251
+ ุงู„ู„ู‰ ู…ุซุจุช ุนู„ูŠู‡ ุงู„ู…ุคุดุฑ ู‡ุตูŠุฑ rotation ู…ุนู‚ุงุฑ ุจุงู„ุณุงุนุฉ
1252
+
1253
+ 314
1254
+ 00:28:18,520 --> 00:28:29,180
1255
+ ู…ุนู†ุงู‡ ุงู„ู…ุคุดุฑ ุงูŠุด ู…ุนู„ู‡ ู‡ูŠุทู„ุน ุจู‚ูŠ ู†ู‚ุฑุฃู‡ ู„ู„ุถุบุท
1256
+
1257
+ 315
1258
+ 00:28:29,180 --> 00:28:36,560
1259
+ ููŠู‡
1260
+
1261
+ 316
1262
+ 00:28:36,560 --> 00:28:40,580
1263
+ ู‚ูุงุตูŠู„ ุทุจุนุง ุงุฐุง ูƒุงู† ุงู„ุฎู…ูŠู„ ูƒุชูŠุฑ ูˆ ู…ุด ูƒูˆูŠุณ
1264
+
1265
+ 317
1266
+ 00:28:43,240 --> 00:28:53,440
1267
+ ู…ุนุฏู†ู‰ ู…ุนุฏู†ู‰ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุทุงุท ุจุณ ุนู†ุฏูƒ ุญุณุงุณ ูƒุชูŠุฑ ูˆ ุงู„
1268
+
1269
+ 318
1270
+ 00:28:53,440 --> 00:28:58,520
1271
+ elastic range ุจุชุงุนู‡ ูƒุจูŠุฑ
1272
+
1273
+ 319
1274
+ 00:28:58,520 --> 00:29:04,800
1275
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… ู…ุทุงุท ุจุณ ุงูŠุด ุนุงูŠุฒ ู…ุทุงุท ุทุจุนุง ููŠ ู…ูŠุฒุฉ ูˆ
1276
+
1277
+ 320
1278
+ 00:29:04,800 --> 00:29:08,640
1279
+ ููŠ ุนูŠุจ ุงู„ู…ูŠุฒุฉ ุงู†ุง ู…ู…ูƒู† ุงู‚ูŠุต ุถุบูˆุท ู…ู†ุฎูุถุฉ ูƒุชูŠุฑ ู‡ุฐู‡
1280
+
1281
+ 321
1282
+ 00:29:08,640 --> 00:29:10,840
1283
+ ู…ูŠุฒุฉ ุงู„ุนูŠุจ
1284
+
1285
+ 322
1286
+ 00:29:12,180 --> 00:29:14,760
1287
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุงุนุชุจุฑู‡ ุนูŠุจ ู…ุด ุนูŠุจ ูŠุนู†ูŠ ุงู†ุง ุญุงู„ูŠุง ุงู†ุง
1288
+
1289
+ 323
1290
+ 00:29:14,760 --> 00:29:19,940
1291
+ computers ุงู„ุนูŠุจ ุงู†ู‡ ุนู„ุงู‚ุฉ ุงู„ stress ูˆ ุงู„ strain ู…ุด
1292
+
1293
+ 324
1294
+ 00:29:19,940 --> 00:29:25,320
1295
+ linear ู…ุน ุงู†ู‡ elastic ููŠ ุงู„ู…ุนุงุฏู† ุนู„ุงู‚ุฉ ุจูŠู† ุงู„
1296
+
1297
+ 325
1298
+ 00:29:25,320 --> 00:29:29,320
1299
+ stress ูˆ ุงู„ strain ู‡ุงูŠ ุฃุจุณู„ูˆู† ุณุฌู† ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„
1300
+
1301
+ 326
1302
+ 00:29:29,320 --> 00:29:33,520
1303
+ metals ู…ุซู„ุง ููŠ ุงู„ elastic region ุงู„ุนู„ุงู‚ุฉ ูŠุงุด
1304
+
1305
+ 327
1306
+ 00:29:33,520 --> 00:29:40,880
1307
+ linear ุจุณู…ูŠู‡ linear elastic linear elastic
1308
+
1309
+ 328
1310
+ 00:29:43,470 --> 00:29:48,810
1311
+ ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ู…ุทุงุท ุจูŠูƒูˆู† ู‡ุงูŠ ุงู„ stress ู‡ุงูŠ ุงู„
1312
+
1313
+ 329
1314
+ 00:29:48,810 --> 00:29:56,250
1315
+ strain stress ุจูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ุงู„ .. ุงู„ ุนู„ุงู‚ุฉ elastic
1316
+
1317
+ 330
1318
+ 00:29:56,250 --> 00:30:06,210
1319
+ ุจุณ .. ุจุณ .. ุจุณ .. ุจุณ ู…ุด linear non linear elastic
1320
+
1321
+ 331
1322
+ 00:30:06,210 --> 00:30:09,970
1323
+ ูŠุนู†ูŠ
1324
+
1325
+ 332
1326
+ 00:30:09,970 --> 00:30:15,200
1327
+ ู„ูˆ ุดูŠู„ุช ุงู„ load ุนู„ูŠู‡ ุจุฑุฌุนุนุงุฏุฉ ููŠ ุฃุฌู‡ุฒุฉ .. ุนุงุฏุฉ ููŠ
1328
+
1329
+ 333
1330
+ 00:30:15,200 --> 00:30:19,660
1331
+ ุฃุฌู‡ุฒุฉ ุงู„ู‚ูŠุงุณ ุจูŠุดุชุบู„ูˆุง ุนู„ู‰ ุงู„ู„ูŠู†ูŠุฑุงุช ุงู† ูŠูƒูˆู†
1332
+
1333
+ 334
1334
+ 00:30:19,660 --> 00:30:24,940
1335
+ ุงู„ุนู„ุงู‚ุฉ Linear ู…ู…ูƒู† ุชุนู…ู„ ุฌู‡ุงุฒ ู…ุงู† Linear ุจุณ ุงู„
1336
+
1337
+ 335
1338
+ 00:30:24,940 --> 00:30:32,920
1339
+ design ุจุชุงุนู‡ ูˆ ุงู„ control ู‡ูŠูƒูˆู† ููŠู‡ ู…ูƒู„ุฌุน ุงู„ู…ุชุนุฑุฌ
1340
+
1341
+ 336
1342
+ 00:30:32,920 --> 00:30:37,560
1343
+ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰
1344
+
1345
+ 337
1346
+ 00:30:37,560 --> 00:30:40,980
1347
+ ุงู„ู„ูŠ ู‡ู… sensible ุงูˆ measurable displacement ู…ู…ูƒู†
1348
+
1349
+ 338
1350
+ 00:30:40,980 --> 00:30:46,650
1351
+ ุชุนู…ู„ ุงุชุญุงุฏุซ ู„ูุฑู‚ุงู„ุงู† ุงู„ .. ุงู„ .. ุจุฑุถู‡ ุงู„ู…ุชุนุฑูุด
1352
+
1353
+ 339
1354
+ 00:30:46,650 --> 00:30:49,290
1355
+ ุจูŠุนุทูŠ strength ุจูŠุนุทูŠ moment of inertia ุงู„ section
1356
+
1357
+ 340
1358
+ 00:30:49,290 --> 00:30:54,870
1359
+ ุจูŠุตูŠุฑ ุฃุนู„ู‰ ูŠุนู†ู‰ ุงู†ุช ู„ูˆ
1360
+
1361
+ 341
1362
+ 00:30:54,870 --> 00:31:00,090
1363
+ ุฌุจุชู„ูƒ ู‚ุทุนุฉ ุจุนุฏูŠู† ู…ู…ูƒู† ุชู‚ูŠุณ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ู…ู…ูƒู† ุชู‚ูŠุณ
1364
+
1365
+ 342
1366
+ 00:31:00,090 --> 00:31:05,690
1367
+ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ุงู„ู„ูŠ ู„ูˆ ุฃู†ุง ุฌุจุชู„ูƒ sheet flat sheet
1368
+
1369
+ 343
1370
+ 00:31:05,690 --> 00:31:11,530
1371
+ flat sheet ู‡ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุจุณ ุฎู„ูŠู†ุง ู†ุงุฎุฏ ุจุณ
1372
+
1373
+ 344
1374
+ 00:31:11,530 --> 00:31:18,480
1375
+ ุจุนุถุฉ ูˆุงุญุฏุฉ ููŠู‡ุงู…ู…ูƒู† ุชุชุญู…ู„ ุงูƒุชุฑ ู‡ุฐูŠ ูˆู„ุง ู‡ุฐูŠ ูุงู†ุง
1376
+
1377
+ 345
1378
+ 00:31:18,480 --> 00:31:30,300
1379
+ ู†ุงุณูŠู‡ ููŠู‡ correction ุจุฎุชู„ู
1380
+
1381
+ 346
1382
+ 00:31:30,300 --> 00:31:35,820
1383
+ ุงู„ุฃุดูŠุงุก ุทูŠุจ ุนู„ู‰ ุงูŠ ุญุงู„ ููŠ ุชูุงุตูŠู„ ูƒุชูŠุฑุฉ ุจุณ ู‡ุฐู‡ ู‡ูŠ
1384
+
1385
+ 347
1386
+ 00:31:35,820 --> 00:31:39,900
1387
+ ุงู„ basic principle of diaphragm elastic diaphragms
1388
+
1389
+ 348
1390
+ 00:31:44,580 --> 00:31:49,660
1391
+ ู‡ุฐุง ุญุงูƒูŠ ุงู†ู‡ุง ูŠูุถู„ ุงู† ุงู„ู„ุงู‚ุฉ ุชูƒูˆู† ุงู„ .. ุงู„ .. ุงู„
1392
+
1393
+ 349
1394
+ 00:31:49,660 --> 00:31:52,180
1395
+ linear output ูŠุนู†ูŠ ุงูŠุด ูŠุนู†ูŠ linear output ูŠุนู†ูŠ ุงู„
1396
+
1397
+ 350
1398
+ 00:31:52,180 --> 00:31:56,620
1399
+ pressure ุจุชุบูŠุฑ linearly ู…ุน ุงู„ input ุงูŠุด ู‡ูˆ ุงู„
1400
+
1401
+ 351
1402
+ 00:31:56,620 --> 00:32:01,600
1403
+ input ุงู„ pressure ุงู„ input ู‡ูˆ ุงู„ pressure ุงู„
1404
+
1405
+ 352
1406
+ 00:32:01,600 --> 00:32:04,920
1407
+ output ุงูŠุด ู‡ูˆ ุญุณุจ
1408
+
1409
+ 353
1410
+ 00:32:06,030 --> 00:32:08,750
1411
+ ุฅุฐุง ูƒุงู†ุช mechanical movement ู‡ูŠ ุงู„ movement ุฃูˆ
1412
+
1413
+ 354
1414
+ 00:32:08,750 --> 00:32:12,050
1415
+ ุงู„ู…ุคุดุฑุŒ ุฅุฐุง ูƒุงู†ุช ุฏู‡ ุญูˆู„ ุงู„ electrical signalุŒ
1416
+
1417
+ 355
1418
+ 00:32:12,050 --> 00:32:15,030
1419
+ ุงู„ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุงุตูŠุฉ ุงู„ูƒู‡ุฑุจุงูŠุฉ ุณูˆุงุก ูƒุงู†ุช
1420
+
1421
+ 356
1422
+ 00:32:15,030 --> 00:32:18,170
1423
+ resistance ุฃูˆ voltage ุฃูˆ capacitance ุฃูˆ
1424
+
1425
+ 357
1426
+ 00:32:18,170 --> 00:32:22,610
1427
+ inductanceุŒ ุจุชุชุบูŠุฑ ุฅูŠุงุด linear
1428
+
1429
+ 358
1430
+ 00:32:26,450 --> 00:32:30,370
1431
+ ุงู„ุงู† ู„ุงุฒู… ุงูƒูˆู† ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุงู„ู„ู‰ ููŠู‡ ู‡ุฒูƒุฑ ุจุนุถ ุงู„
1432
+
1433
+ 359
1434
+ 00:32:30,370 --> 00:32:34,010
1435
+ design requirements ูŠุนู†ูŠ ุงู„ู…ุชุทู„ุจุงุช ุงู„ุชุตู…ูŠู… ุงู„ู„ู‰
1436
+
1437
+ 360
1438
+ 00:32:34,010 --> 00:32:38,890
1439
+ ู„ุงุฒู… ูŠุชูˆูุฑ ููŠ ุงู„ elastic diaphragms ุงูˆู„ุด ุงู„
1440
+
1441
+ 361
1442
+ 00:32:38,890 --> 00:32:42,510
1443
+ flexibility and thus sensitive pressure change
1444
+
1445
+ 362
1446
+ 00:32:42,510 --> 00:32:45,350
1447
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† flexible ู…ุด ู„ุงุฒู… ุชูƒูˆู† ู†ุงุดูุฉ ุฌุงู…ุฏุฉ
1448
+
1449
+ 363
1450
+ 00:32:45,350 --> 00:32:49,950
1451
+ ููŠู‡ุง ู…ุฑูˆู†ุฉ and thus sensitive pressure change must
1452
+
1453
+ 364
1454
+ 00:32:49,950 --> 00:32:53,070
1455
+ provide diaphragm deflections that match the input
1456
+
1457
+ 365
1458
+ 00:32:53,070 --> 00:32:58,150
1459
+ range of the secondaryุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ูุนู„ุง ุณูŠูƒุงู†ุฏุฑ
1460
+
1461
+ 366
1462
+ 00:32:58,150 --> 00:33:05,970
1463
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูˆู„ ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ู‡ูˆ ุงู„ุบุดุงุก ุงู„ู„ูŠ ู‡ูˆ
1464
+
1465
+ 367
1466
+ 00:33:05,970 --> 00:33:10,290
1467
+ ุจูŠุณุชุฌูŠุจ ู„ุถุบุท ุถุบุท ุจุชุบูŠุฑ ุดูƒู„ู‡ ุตุญุŸ ุณูŠูƒุงู†ุฏุฑ
1468
+
1469
+ 368
1470
+ 00:33:10,290 --> 00:33:14,330
1471
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ู‡ูˆ ู…ุฌุฒ ุงูŠุด ูƒู‡ุฑุจุง ู…ู…ูƒู† ู†ุญุท string gauge
1472
+
1473
+ 369
1474
+ 00:33:14,330 --> 00:33:21,090
1475
+ ูŠุนู†ูŠ ุงู„ range ุงู„ู„ูŠ ุดุบุงู„ ุนู„ูŠู‡ ุงู„ diaphragm ูŠูƒูˆู†
1476
+
1477
+ 370
1478
+ 00:33:21,090 --> 00:33:27,200
1479
+ matching ู…ุน ุงู„ range ุงู„ุชุน ุงู„ string gaugeูŠุนู†ูŠ ุจุฏูŠุด
1480
+
1481
+ 371
1482
+ 00:33:27,200 --> 00:33:30,140
1483
+ ูˆุงู„ู„ู‡ ุงู†ุง ุงู„ string .. ุงู„ diaphragm ุจูŠุนู…ู„ู„ูŠ string
1484
+
1485
+ 372
1486
+ 00:33:30,140 --> 00:33:35,780
1487
+ .. ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ string ู…ุซู„ุง point ูˆุงุญุฏ ู„ูƒู† ุงู„
1488
+
1489
+ 373
1490
+ 00:33:35,780 --> 00:33:38,220
1491
+ string gauge ุจูŠุนุทูŠู†ูŠ point ุงูˆ ูˆุงุญุฏ ุงู„ range ุจุชุงุนู‡
1492
+
1493
+ 374
1494
+ 00:33:38,220 --> 00:33:42,580
1495
+ maximum ูุจุฏูŠูƒูˆู† matching ุจูŠู† ุงู„ primary ุงู„
1496
+
1497
+ 375
1498
+ 00:33:42,580 --> 00:33:46,860
1499
+ transducer ุงู„ู„ูŠ ู‡ูˆ ุงู„ diaphragm ูˆ ุงู„ range ุจุชุงุน ุงู„
1500
+
1501
+ 376
1502
+ 00:33:46,860 --> 00:33:49,000
1503
+ secondary ุงู„ transducer ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนุทูŠู†ุง ุงู„ signal
1504
+
1505
+ 377
1506
+ 00:33:49,000 --> 00:33:50,460
1507
+ ุงู„ู†ู‡ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู†ุง ุจู‚ูŠุณู‡ุง
1508
+
1509
+ 378
1510
+ 00:33:53,250 --> 00:33:55,830
1511
+ ุงู„ู€ nature frequency ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู…
1512
+
1513
+ 379
1514
+ 00:33:55,830 --> 00:33:57,710
1515
+ should be sufficiently high to provide
1516
+
1517
+ 380
1518
+ 00:33:57,710 --> 00:34:00,670
1519
+ satisfactory frequency response ู„ุงุฒู… ุงู„ุชุฑุฏุฏ
1520
+
1521
+ 381
1522
+ 00:34:00,670 --> 00:34:08,070
1523
+ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† ุนุงู„ูŠ ูƒุชูŠุฑ ู‡ุฐุง ุทุจุนุง ุงู„ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ ูƒุชูŠุฑ
1524
+
1525
+ 382
1526
+ 00:34:08,070 --> 00:34:11,230
1527
+ ููŠ ุญุงู„ุฉ ุงุฐุง ุนู†ุฏูƒ dynamic pressure change ุงูŠุด ูŠุนู†ูŠ
1528
+
1529
+ 383
1530
+ 00:34:11,230 --> 00:34:15,670
1531
+ dynamic pressure change ูŠุนู†ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท ุจุชุบูŠุฑ ูƒุชูŠุฑ
1532
+
1533
+ 384
1534
+ 00:34:15,670 --> 00:34:24,350
1535
+ ุจุชุบูŠุฑ ูƒุชูŠุฑ ูˆุจุดูƒู„ ุณุฑูŠุน ุงุฐุง ูƒุงู† ุชุฑุฏุฏ ู…ุตุฏุฑ ุงู„ุถุบุทูƒุงู†
1536
+
1537
+ 385
1538
+ 00:34:24,350 --> 00:34:30,350
1539
+ ู‚ุฑูŠุจ ุงูˆ ุจูŠุณุงูˆูŠ ุงู„ nature frequency ุงูˆู„ .. ุงูˆู„
1540
+
1541
+ 386
1542
+ 00:34:30,350 --> 00:34:34,510
1543
+ nature frequency ู„ู„ .. ู„ู„ diaphragm ุจูŠุตูŠุฑ ู…ุง ูŠุณู…ู‰
1544
+
1545
+ 387
1546
+ 00:34:34,510 --> 00:34:41,070
1547
+ ุนู†ุฏูŠ ุธุงู‡ุฑุฉ ุงู„ุฑู†ูŠู† ู„ู…ุง ุงู„ nature frequency ูŠุนู†ูŠ ุงู„
1548
+
1549
+ 388
1550
+ 00:34:41,070 --> 00:34:46,290
1551
+ .. ุงู„ .. ุงู„ external ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:34:46,290 --> 00:34:54,770
1555
+ ู‡ูˆ ุงู„ omega ุชุฑุฏุฏ ู„ู„ู…ุตุฏุฑ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุทุจูŠูƒูˆู†
1556
+
1557
+ 390
1558
+ 00:34:54,770 --> 00:34:59,730
1559
+ ุชู‚ุฑูŠุจุง ูŠุณุงูˆูŠ ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู… ุจูŠุตูŠุฑ ุนู†ุฏ
1560
+
1561
+ 391
1562
+ 00:34:59,730 --> 00:35:05,550
1563
+ ุงูŠู‡ ุงุดุŸ ุจูŠุตูŠุฑ ุนู†ุฏ ูˆ ุงู„ุถุบุท ุจุชุบูŠุฑ ุจูŠุตูŠุฑ ุนู†ุฏ ุงู„
1564
+
1565
+ 392
1566
+ 00:35:05,550 --> 00:35:08,390
1567
+ amplitude ุจูŠุตูŠุฑ ูŠุชุตุฑู ุจุดูƒู„ ุฌู†ูˆู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1568
+
1569
+ 393
1570
+ 00:35:08,390 --> 00:35:11,370
1571
+ diaphragm ุจูŠุตูŠุฑ ูŠุทู„ุน ูŠุตูŠุฑ ูŠุจู‚ู‰ ูŠุนู…ู„ deflections
1572
+
1573
+ 394
1574
+ 00:35:11,370 --> 00:35:15,110
1575
+ high deflections ุจูŠุตูŠุฑ ุงู„ amplitude ุงู„ amplitude
1576
+
1577
+ 395
1578
+ 00:35:15,110 --> 00:35:19,270
1579
+ of
1580
+
1581
+ 396
1582
+ 00:35:19,270 --> 00:35:20,370
1583
+ diaphragm
1584
+
1585
+ 397
1586
+ 00:35:26,470 --> 00:35:31,910
1587
+ deflection is getting too
1588
+
1589
+ 398
1590
+ 00:35:31,910 --> 00:35:35,970
1591
+ high ู…ู…ูƒู†
1592
+
1593
+ 399
1594
+ 00:35:35,970 --> 00:35:39,830
1595
+ ูŠุนู…ู„ failure ู„ู„ุฌู‡ุงุฒ
1596
+
1597
+ 400
1598
+ 00:35:39,830 --> 00:35:49,730
1599
+ ุงุฐุง ูƒู†ุช ุทุงู„ุน ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ resonance ู‚ุดุนูˆุง
1600
+
1601
+ 401
1602
+ 00:35:49,730 --> 00:35:54,140
1603
+ ุนู„ู‰ ูŠูˆุชูŠูˆุจ ุงูƒุชุจูˆุง resonanceู‡ุชุดูˆููˆุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
1604
+
1605
+ 402
1606
+ 00:35:54,140 --> 00:35:56,640
1607
+ ุนู†ุฏูƒูˆุง ุงู„ gesture ููŠ American Heart ุจุณุจุจ ุงู„ู…ุดูƒู„ุฉ
1608
+
1609
+ 403
1610
+ 00:35:56,640 --> 00:36:00,420
1611
+ ู‡ุฐู‡ ูŠุนู†ูŠ ููŠ ูƒุฐุง ููŠุฏูŠูˆ ู‡ุชุดูˆููˆุง ุนู† ู…ูˆุถูˆุน ุงู„
1612
+
1613
+ 404
1614
+ 00:36:00,420 --> 00:36:06,040
1615
+ resonance ุงู†ุช
1616
+
1617
+ 405
1618
+ 00:36:06,040 --> 00:36:09,640
1619
+ ู…ุง ู‡ูˆ ุงู†ุช ุงุดููŠ ุนู†ุฏูƒ .. ุนู†ุฏูƒ ุงูŠ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง .. ุงูŠ
1620
+
1621
+ 406
1622
+ 00:36:09,640 --> 00:36:11,980
1623
+ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ุงู†ุช ุญุชู‰
1624
+
1625
+ 407
1626
+ 00:36:11,980 --> 00:36:17,260
1627
+ ุฌุณู…ูƒ ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ู‡ุชู‚ูˆู„ู‡ infinite
1628
+
1629
+ 408
1630
+ 00:36:17,260 --> 00:36:22,080
1631
+ number of .. infinite number of frequenciesุงู„ุงู†
1632
+
1633
+ 409
1634
+ 00:36:22,080 --> 00:36:27,320
1635
+ ุงู‚ู„ frequency ุงู„ู„ูŠ ู‡ูˆ Omega 1 ูˆ Omega 2 ูˆ Omega 3
1636
+
1637
+ 410
1638
+ 00:36:27,320 --> 00:36:31,740
1639
+ ุทุจุนุง ู…ุซู„ุง ุงุฐุง Omega 1 ู…ุซู„ุง ุงู„ู ู‡ูŠุฑุฏุฒ Omega 2 ุจุชูƒูˆู†
1640
+
1641
+ 411
1642
+ 00:36:31,740 --> 00:36:35,980
1643
+ ู…ุด ุงู„ููŠู† ุจุชูƒูˆู† ู…ุซู„ุง ุนุดุฑ ุชู„ุงู ุงุฐุง Omega ุงุชู†ูŠู† ุนุดุฑ
1644
+
1645
+ 412
1646
+ 00:36:35,980 --> 00:36:39,900
1647
+ ุชู„ุงู Omega ุชู„ุงุชู‡ ุจุชูƒูˆู† ู…ุซู„ุง ู…ู„ูŠูˆู† ูˆู„ุง ุนุดุฑุฉ ู…ู„ูŠูˆู†
1648
+
1649
+ 413
1650
+ 00:36:39,900 --> 00:36:44,250
1651
+ ูŠุนู†ูŠ ุงู„ูุฑู‚ ุจูŠู† Omega 1 ูˆ Omega 2ุจูŠู† omega 2 ูˆ
1652
+
1653
+ 414
1654
+ 00:36:44,250 --> 00:36:49,090
1655
+ omega 1 ุจูŠูƒูˆู† ูƒุจูŠุฑ ุจูŠู† omega 3 ูˆ omega 2 ูƒุจูŠุฑ ูƒุชูŠุฑ
1656
+
1657
+ 415
1658
+ 00:36:49,090 --> 00:36:54,070
1659
+ ูˆู‡ูƒุฐุง ุจุฒูŠุฏ ุงู„ูุฑู‚ ูุนุงุฏุฉ ุงู†ุช ุจุฏู‡ ุชูƒูˆู† below ุงู„ first
1660
+
1661
+ 416
1662
+ 00:36:54,070 --> 00:36:56,290
1663
+ natural frequency ูŠุนู†ูŠ ุงู†ุช ุงูŠุด ู…ุชุณุงูˆูŠุŸ ูŠุง ุงู…ุง
1664
+
1665
+ 417
1666
+ 00:36:56,290 --> 00:36:59,550
1667
+ ุจุชูƒูˆู† below ุงู„ first natural frequency ุงูˆ ุงู„
1668
+
1669
+ 418
1670
+ 00:36:59,550 --> 00:37:03,370
1671
+ fundamental frequency ุงูˆ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุณ ุนุดุงู†
1672
+
1673
+ 419
1674
+ 00:37:03,370 --> 00:37:07,050
1675
+ ุชุตุนุฏ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุฏูƒ ุณุฑุนุงุช ุนุงู„ูŠุฉ ุฌุฏุง ุฌุฏุง ุฌุฏุง
1676
+
1677
+ 420
1678
+ 00:37:07,050 --> 00:37:11,780
1679
+ ุชุญูƒูŠ ุจุงู„ .. ุจุงู„ ุฌูŠุฌุงู‡ุฑุชุฒ ุงูˆ ุงู„ megahertzุนุงุฏุฉ ุจุชูƒูˆู†
1680
+
1681
+ 421
1682
+ 00:37:11,780 --> 00:37:15,440
1683
+ ุฃู‚ู„ ุงู„ resonance ู‡ุฐู‡ ู…ุดูƒู„ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ machines
1684
+
1685
+ 422
1686
+ 00:37:15,440 --> 00:37:18,940
1687
+ ุจุชุธู‡ุฑ
1688
+
1689
+ 423
1690
+ 00:37:18,940 --> 00:37:25,040
1691
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุตุญ ุชุฎุดูˆุง ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ูˆุฏูˆุฑูˆุง ู‡ุชุดูˆููˆุง
1692
+
1693
+ 424
1694
+ 00:37:25,040 --> 00:37:28,020
1695
+ ูŠุนู†ูŠ ุนุดุฑุงุช ููŠุฏูŠูˆู‡ุงุช ุนู† ู…ุดุงูƒู„ ููŠ ุงู„ resonance ู…ุงู†ุง
1696
+
1697
+ 425
1698
+ 00:37:28,020 --> 00:37:33,560
1699
+ ู‚ุฑุฃู‡ ุจุงู„ gas turbine ู‡ุฐุง ููŠู‡ ู‡ูˆ ู‚ุฑุงุฏุฉ ู…ุนูŠู†ุฉ ู„ู‡
1700
+
1701
+ 426
1702
+ 00:37:35,110 --> 00:37:38,210
1703
+ ุงู„ุชุฑุจูŠู†ุฉ ุจูŠุณู…ูˆู‡ุง ุญุงุฌุฉ ุชุดุฎุฑุŒ ุดุฎูŠุฑ ุจูŠุณู…ูˆู‡ุงุŒ ุจูŠุทู„ุตูˆุง
1704
+
1705
+ 427
1706
+ 00:37:38,210 --> 00:37:40,210
1707
+ ุฎุงุฑุฌ ุงู„ุชุฑุจูŠู†ุฉ ูˆ ู‡ู… ุจู‚ู‰ ู†ุทู‚ูˆุงุŒ ุจุชุฌุงูˆุฒูˆุง ุงู„ู…ุฑุญู„ุฉ ุฏู‡ุŒ
1708
+
1709
+ 428
1710
+ 00:37:40,210 --> 00:37:44,790
1711
+ ู‡ู… ุจูŠุญุจูˆุง ุชูƒุดู .. ุงูŠูˆุฉุŒ ูŠุง ุณูŠ ๏ฟฝ๏ฟฝุฑุงู‡ุงุŒ ูŠุง ุชุญุชู‡ุงุŒ ูŠุง
1712
+
1713
+ 429
1714
+ 00:37:44,790 --> 00:37:48,450
1715
+ ุชุญุชู‡ุง ุจูƒุชูŠุฑุŒ ุงู‚ู„ุด ุงู„ุนุดุฑุŒ ุงู„ frequency ุงู„ุฎุงุฑุฌูŠ
1716
+
1717
+ 430
1718
+ 00:37:48,450 --> 00:37:52,710
1719
+ ุจูŠูƒูˆู† ูˆุงุญุฏ ุนู„ู‰ ุนุดุฑูŠู†ุŒ ู…ุด ุงู„ุนุดุฑุŒ ุชู‚ุฑูŠุจุงุŒ ุนุดุงู† ุงู†ู‡ู…
1720
+
1721
+ 431
1722
+ 00:37:52,710 --> 00:37:56,970
1723
+ ุตูˆุฑุฉ ุงู„ุชุฑุจูŠู†ุฉ ุจุดูƒู„ ุนุงู„ูŠ ูƒุซูŠุฑุŒ ุงูŠูˆุฉุŒ ูุงู„ุชุฑุจูŠู†ุฉ ุนุงุฏุฉ
1724
+
1725
+ 432
1726
+ 00:37:56,970 --> 00:37:59,750
1727
+ ุจุชูƒูˆู† ุชุญุช ุงู„ nature frequencyุŒ ู„ุฃู† ู‡ูˆ ุจูŠูƒูˆู† ู…ู† ุดูƒู„
1728
+
1729
+ 433
1730
+ 00:37:59,750 --> 00:38:03,170
1731
+ ุงู„ .. ุงู„ .. ูŠุนู†ูŠ ุงู„ .. ุงู„ nature frequency ุจูŠุชู…ุฏ
1732
+
1733
+ 434
1734
+ 00:38:03,170 --> 00:38:07,990
1735
+ ุนู„ู‰ ุงู„ geometryู„ู„ .. ู„ุฃูŠ ุฌุณู… ุงู„ geometry ุจุชุงุนุชู‡
1736
+
1737
+ 435
1738
+ 00:38:07,990 --> 00:38:13,130
1739
+ ูˆุงู„ material ุจุชุงุนุชู‡ ุจุชุชู…ุฏ ุนู„ู‰ ุงู„ุชู†ุชูŠู† ู…ุซู„ุง ูƒุฏู‡ ุงู„
1740
+
1741
+ 436
1742
+ 00:38:13,130 --> 00:38:16,550
1743
+ diaphragm ุจูŠู‚ุฏุฑ ูŠุชุญู…ู„ ุงู„ุชุฑุฏุฏ ุงู„ุนุงู„ูŠ ูƒุฏู‡ ุชู‚ูˆู„ ุงู†ูƒ
1744
+
1745
+ 437
1746
+ 00:38:16,550 --> 00:38:19,830
1747
+ ุฌุงูŠุฉ ู…ู† ุงู„ุฎุถุฑ ุงุณู…ู‡ ุงู„ุชุฑุฏุฏ ุฃุฌุงู„ูƒุŸ ู„ุฃ ุนุงุฏุฉ ุจุชูƒูˆู† ู„ุฃ
1748
+
1749
+ 438
1750
+ 00:38:19,830 --> 00:38:22,570
1751
+ ุจุชูƒูˆู† ุจ low natural frequency ูŠุนู†ูŠ ููŠ ุงู„ุนุงุฏุฉ ุจุชูƒูˆู†
1752
+
1753
+ 439
1754
+ 00:38:22,570 --> 00:38:25,830
1755
+ ุฃุฌุงู„ูƒ ู…ุงุฎุฏุด ุงู„ุฃุนู„ู‰ ู„ุฃ ู„ุฃู†ู‡ุง ู‡ุชุฎุด ูุฑู†ุฌุงุช ุนุงู„ูŠุฉ ูƒุชูŠุฑ
1756
+
1757
+ 440
1758
+ 00:38:25,830 --> 00:38:29,990
1759
+ ูƒุชูŠุฑ ูƒุชูŠุฑ ู…ุด ู‡ุชู‚ุฏุฑ ุนู…ู„ูŠู† ุชุนู…ู„ู‡ุง ุงู‡ ุจุงู„ู†ุณุจุฉ ู„ู„
1760
+
1761
+ 441
1762
+ 00:38:29,990 --> 00:38:33,510
1763
+ flexibility ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠู†ุง ุงู„ู…ุนุฏุฏ is flexible
1764
+
1765
+ 442
1766
+ 00:38:33,510 --> 00:38:37,630
1767
+ ุงู„ู…ุนุฏุฏูู‰ ุทุจุนุง ูู‰ ู…ู‚ุนุฏูŠู† flexible flexible ูˆ linear
1768
+
1769
+ 443
1770
+ 00:38:37,630 --> 00:38:42,530
1771
+ ู…ู‚ุนุฏูŠู† flexible ูุชุชุญูƒู… ููŠู‡ุง ููŠุงุด ูƒู…ุงู† ุจุงู„
1772
+
1773
+ 444
1774
+ 00:38:42,530 --> 00:38:53,650
1775
+ thickness ุณู…ุงูƒุฉ ู„ุฅู†ู‡ ุงู†ุง ุนู†ุฏู‰ ู„ูˆ ุฃุฎุฏู†ุง ุจุงุฑ ู…ู‚ุทุน
1776
+
1777
+ 445
1778
+ 00:38:53,650 --> 00:38:59,930
1779
+ ุงูŠู‡ ุนู„ูŠู‡ force Fูˆ ุฃู†ุง ููŠ ุงู„ู€ elastic region ุงู„ู€
1780
+
1781
+ 446
1782
+ 00:38:59,930 --> 00:39:03,470
1783
+ sigma ุจุชุงุนุชู‡ ุงู„ stress ู…ุด ู‡ุชูƒูˆู† ุณุงูˆูŠ ุจุงู„ุณูˆุงุก F ุนู„ู‰
1784
+
1785
+ 447
1786
+ 00:39:03,470 --> 00:39:12,990
1787
+ A ุจุงู„ุณูˆุงุก E ููŠ ุฃุจุณู„ูˆู† ูŠุนู†ูŠ
1788
+
1789
+ 448
1790
+ 00:39:12,990 --> 00:39:17,630
1791
+ F ุนู„ู‰ A ุจุงู„ุณูˆุงุก E ุฃุจุณู„ูˆู† ู‡ูŠ ุนุจุงุฑุฉ ุนู† Delta
1792
+
1793
+ 449
1794
+ 00:39:17,630 --> 00:39:20,130
1795
+ Deflection ุนู„ู‰ L
1796
+
1797
+ 450
1798
+ 00:39:25,890 --> 00:39:36,790
1799
+ ูŠุนู†ูŠ ุงู„ F ู‡ุชูƒูˆู† ุชุณุงูˆูŠ A A ุนู„ู‰ N ููŠ Delta ู„ูˆ
1800
+
1801
+ 451
1802
+ 00:39:36,790 --> 00:39:42,610
1803
+ ุนู†ุฏู‰ ุฒู…ุจุฑูƒ ุนู„ุงู‚ุฉ ุงู„ extension ู…ุน ุงู„ force ุฒู…ุจุฑูƒ F
1804
+
1805
+ 452
1806
+ 00:39:42,610 --> 00:39:51,640
1807
+ ุจูŠุณุงูˆูŠ ุงูŠุดุŸ K ููŠ X ูŠุนู†ูŠ ู„ูˆ ู‡ุฏ ุญูƒูŠุช ู‡ุฏ F ู‡ุฏ Xู‡ุฐุง
1808
+
1809
+ 453
1810
+ 00:39:51,640 --> 00:39:57,200
1811
+ ุงูŠุด ู‡ุชูƒูˆู†ุŸ K ูุง ูƒู†ุง ู†ุนุชุจุฑู‡ ุงู†ุง ุฒู†ุจุฑูƒ ุงู†ู‡ .. ู‡ุฐุง ู‡ูˆ
1812
+
1813
+ 454
1814
+ 00:39:57,200 --> 00:40:05,200
1815
+ ูุนู„ุง ุฒู†ุจุฑูƒ K ุจุชุงุนุชู‡ ุจุงู„ุณูˆุงุก A E ุนู„ู‰ L ุจู†ูุณ ุงู„ุณูŠุงู‚
1816
+
1817
+ 455
1818
+ 00:40:05,200 --> 00:40:11,720
1819
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ membrane ู‡ุชูƒูˆู†ู„ู‡ .. ุฅู„ู‡ K ุงู„ K ุจูŠุชู…ุฏ
1820
+
1821
+ 456
1822
+ 00:40:11,720 --> 00:40:19,640
1823
+ ุนู„ู‰ ุงู„ geometry ู‡ุฐู‡ ุงู„ geometryูˆ ุงู„ material ุงู„ a
1824
+
1825
+ 457
1826
+ 00:40:19,640 --> 00:40:23,120
1827
+ ุงู„ู„ูŠ ู‡ูŠ modulus of elasticity ูŠุนู†ูŠ ุงู„ a ู…ู…ูƒู† ูŠุนุจุฑ
1828
+
1829
+ 458
1830
+ 00:40:23,120 --> 00:40:27,320
1831
+ ุนู† ุฒู…ุจุฑุงูƒูŠุฉ ุงู„ู…ุงุฏุฉ how stiff a spring the material
1832
+
1833
+ 459
1834
+ 00:40:27,320 --> 00:40:31,320
1835
+ is ู…ู…ูƒู† ุฅุฐุง ุงู„ material too stiff ูุงู†ุช ุชุจู‚ู‰ ุนู†ู‡
1836
+
1837
+ 460
1838
+ 00:40:31,320 --> 00:40:34,900
1839
+ ุฒู…ุจุฑุฉ ู‚ูˆ ุฌุฏุง .. ู‚ูˆ ุฌุฏุง ุจุณ ู„ูƒู† ู„ูŠุณ ูู‚ุท .. ู„ูŠุณ ูู‚ุท
1840
+
1841
+ 461
1842
+ 00:40:34,900 --> 00:40:38,580
1843
+ ุงู„ material ุงู„ material ุฃุญุฏ ุงู„ู…ุคุซุฑุงุชุŒ ู…ุคุซุฑุงุช ุชุงู†ูŠุฉ
1844
+
1845
+ 462
1846
+ 00:40:38,580 --> 00:40:43,430
1847
+ ุฃูŠุดุŸุงู„ุฌูŠูˆู…ุชุฑูŠ ุงู„ู€ cross-sectional area ุงูˆ ุงู„ู„ูŠ ู‡ูŠ
1848
+
1849
+ 463
1850
+ 00:40:43,430 --> 00:40:48,430
1851
+ ุทุจุนุง ู„ุฑุฏ ู„ flat plate ุจุฎุชู„ู ุจุงู„ู„ูŠ ุงู„ู„ูŠ ู„ู‡ equation
1852
+
1853
+ 464
1854
+ 00:40:48,430 --> 00:40:52,810
1855
+ ุชุงู†ูŠุฉ ุจุณ ู‡ุงูŠ ุงู„ principle ุจุชุญูˆู„ ุงู„ู„ูŠ ูŠู„ู‚ู‰ ุจูŠู† ุงู„
1856
+
1857
+ 465
1858
+ 00:40:52,810 --> 00:40:57,310
1859
+ deflection ูˆ ุงู„ force ุจุงู„ุดูƒู„ ู‡ุฐุง ู‡ูŠ F ูˆ Delta ูˆ
1860
+
1861
+ 466
1862
+ 00:40:57,310 --> 00:41:01,050
1863
+ ุจูŠุทู„ุน ุนู†ุฏูƒ some term ุจุฎุชู„ู ููŠ ุงู„ plate ู‡ูˆ ุทุจุนุง
1864
+
1865
+ 467
1866
+ 00:41:01,050 --> 00:41:03,130
1867
+ ูŠู…ุซู„ุนุด ุงู„ spring constant
1868
+
1869
+ 468
1870
+ 00:41:12,560 --> 00:41:17,440
1871
+ ุทุจุนุง deflection of flat plate
1872
+
1873
+ 469
1874
+ 00:41:17,440 --> 00:41:23,360
1875
+ diaphragm ูŠุนู†ูŠ
1876
+
1877
+ 470
1878
+ 00:41:23,360 --> 00:41:30,900
1879
+ ู…ุด ู…ุณู…ูˆุญ ู„ูƒ ุชุชุฌุงูˆุฒ ุญุฏ ู…ุนูŠู† ู…ู† ุงู„ stress ูŠุนู†ูŠ ู…ุด
1880
+
1881
+ 471
1882
+ 00:41:30,900 --> 00:41:35,280
1883
+ ู…ุณู…ูˆุญ ู„ูƒ ุจุจุณุงุทุฉ ุชุฏุฎู„ ุงู„ plastic range ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ
1884
+
1885
+ 472
1886
+ 00:41:35,280 --> 00:41:39,400
1887
+ ู‡ุฐุง ู…ุตู…ู… ูŠู‚ูŠุณ ุงู„ุถุบุท ู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุงุจุงุณูƒุงู„ ุฅุฐุง ุญุทูŠุช
1888
+
1889
+ 473
1890
+ 00:41:39,400 --> 00:41:43,720
1891
+ pressure ู…ุงุฆุชูŠู† ู…ูŠุฌุงุจุงุณูƒุงู„ุนุงู„ุฃุบู„ุจ ู‡ุตูŠุฑ out of
1892
+
1893
+ 474
1894
+ 00:41:43,720 --> 00:41:47,100
1895
+ range ูŠุนู†ูŠ ุฏู‡ ู…ุนู†ุงุชู‡ ุฏุฎู„ุช ุฏุฎู„ุช ููŠ ุงู„ plastic range
1896
+
1897
+ 475
1898
+ 00:41:47,100 --> 00:41:52,920
1899
+ ุงู„ู„ูŠ ู„ูŠู…ุช ู…ุนูŠู† ุทุจุนุง as a general rule ุงู„ max
1900
+
1901
+ 476
1902
+ 00:41:52,920 --> 00:41:56,080
1903
+ deflection ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1904
+
1905
+ 477
1906
+ 00:41:56,080 --> 00:42:03,500
1907
+ ุงู„ deflection ููŠ ุงู„ membrane ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุงูˆ ูŠูƒูˆู†
1908
+
1909
+ 478
1910
+ 00:42:03,500 --> 00:42:07,710
1911
+ ููŠ ุญุฏูˆุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ุฏุงุฆูุฑุงู†ุจูƒูˆู†
1912
+
1913
+ 479
1914
+ 00:42:07,710 --> 00:42:15,530
1915
+ ุชู„ุงุชูŠู† ูุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ diaphragm ู‡ุฐุง as a
1916
+
1917
+ 480
1918
+ 00:42:15,530 --> 00:42:19,170
1919
+ general rule ุทุจุนุง ู‡ุฐุง general rule ุจูŠุถู…ู†ู„ูŠ ุจูŠุถู…ู†ู„ูŠ
1920
+
1921
+ 481
1922
+ 00:42:19,170 --> 00:42:22,450
1923
+ ุงู† ุงู†ุง ุงุถุงู„ู†ูŠ ููŠ ุงู„ elastic region ู…ุงุฏุฎู„ุด ุงู„
1924
+
1925
+ 482
1926
+ 00:42:22,450 --> 00:42:28,550
1927
+ plastic region ุทูŠุจ
1928
+
1929
+ 483
1930
+ 00:42:28,550 --> 00:42:31,230
1931
+ ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ strain gauges
1932
+
1933
+ 484
1934
+ 00:42:37,470 --> 00:42:42,590
1935
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ strain gauge pressure
1936
+
1937
+ 485
1938
+ 00:42:42,590 --> 00:42:50,210
1939
+ cells ููƒุฑุชู‡ุง
1940
+
1941
+ 486
1942
+ 00:42:50,210 --> 00:42:57,450
1943
+ ููƒุฑุฉ ุงู„ strain gauge pressure cells ุทูŠุจ
1944
+
1945
+ 487
1946
+ 00:42:57,450 --> 00:43:06,150
1947
+ ุจุณ ู„ู„ุฃู„ู… ู…ุด ู‡ุทู„ุจ ู…ู†ูƒู… ุฅุฐุง ูƒู†ุชูˆุง ู‚ุตุทูˆุงู†ุฉ ุฌูˆุงุชู‡ุง ุถุบุท
1948
+
1949
+ 488
1950
+ 00:43:07,170 --> 00:43:09,610
1951
+ ููŠู‡ ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ููŠู‡ ุถุบุท ู…ู† ุจุฑุง ุงุญู†ุง ุญุงู„ุชู†ุง ู‡ูŠูƒูˆู†
1952
+
1953
+ 489
1954
+ 00:43:09,610 --> 00:43:15,630
1955
+ ุถุบุท ุฅูŠุดุŸ ู…ู† ุฌูˆู‡ุŒ ูŠุนู†ูŠ ุถุบุท ุฎุงุฑุฌ ุดูˆ ูŠุณุงูˆูŠุŸ zero ุฅุฐุง
1956
+
1957
+ 490
1958
+ 00:43:15,630 --> 00:43:20,050
1959
+ ูƒุงู† ุถุบุท ุฎุงุฑุฌ ุงู„ zero in general case in general
1960
+
1961
+ 491
1962
+ 00:43:20,050 --> 00:43:23,770
1963
+ case ุจูŠูƒูˆู† ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ุถุบุท ู…ู† ุจุฑุง ุถุบุท ู…ู† ุฌูˆู‡ ูˆ
1964
+
1965
+ 492
1966
+ 00:43:23,770 --> 00:43:27,050
1967
+ ุถุบุท ู…ู† ุจุฑุง ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุถุบุท ุจูŠุตูŠุฑ ุนู†ุฏูŠ tangential
1968
+
1969
+ 493
1970
+ 00:43:27,050 --> 00:43:30,770
1971
+ ููŠ ุงู„ .. ูŠุนู†ูŠ ุนู†ุฏูŠ high radius ุฏุงุฎู„ ูˆ high radius
1972
+
1973
+ 494
1974
+ 00:43:30,770 --> 00:43:35,770
1975
+ ุฎุงุฑุฌูŠ ุจูŠุตูŠุฑ .. ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress tangential
1976
+
1977
+ 495
1978
+ 00:43:37,330 --> 00:43:43,370
1979
+ ูˆ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ radial stress radial stress ุงุญู†ุง
1980
+
1981
+ 496
1982
+ 00:43:43,370 --> 00:43:46,250
1983
+ ุจูŠุจู‚ู‰ ู…ู† ุงู„ tangential stress ู‡ุฐูŠ ุนู„ุงู‚ุฉ ุงู„ุชู†ุฌูŠุด ุงู„
1984
+
1985
+ 497
1986
+ 00:43:46,250 --> 00:43:50,130
1987
+ stress ูˆ ู‡ุฐู‡ ุนู„ุงู‚ุฉ ุงู„ radial stress ูุงู†ุง ููŠ ุงู†ุฏูŠ
1988
+
1989
+ 498
1990
+ 00:43:50,130 --> 00:43:52,310
1991
+ two pressures pressure from inside pressure from
1992
+
1993
+ 499
1994
+ 00:43:52,310 --> 00:43:54,970
1995
+ outside ููŠ ุญุงู„ุชู†ุง ู‡ูƒูˆู† pressure from outside ุงูŠุด
1996
+
1997
+ 500
1998
+ 00:43:54,970 --> 00:44:00,050
1999
+ ู…ุนู„ูˆู…ุฉุŸ zero ุงู„ู…ุนุงุฏู„ุฉ ููŠ ุงู„ุญุงู„ุฉ ุฏู‡ ุชุชุจุณุท ุจูŠุตูŠุฑ
2000
+
2001
+ 501
2002
+ 00:44:00,050 --> 00:44:03,190
2003
+ ุจุงู„ุดูƒู„ ู‡ุฐุง tangential stress ุงู„ุชู†ุฌูŠุด ุงู„ stress
2004
+
2005
+ 502
2006
+ 00:44:03,190 --> 00:44:06,910
2007
+ ุจูŠูƒูˆู† high distribution ุชุจุนู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง
2008
+
2009
+ 503
2010
+ 00:44:11,200 --> 00:44:14,960
2011
+ ุจูŠูƒูˆู† maximum ู‡ู†ุง tangential stress ูˆ minimum ุจุฑุง
2012
+
2013
+ 504
2014
+ 00:44:14,960 --> 00:44:24,320
2015
+ ุงู„ radial stress ุจูŠูƒูˆู† maximum ุฌูˆุง ูˆ ุจุฑุง ุณูุฑ zero
2016
+
2017
+ 505
2018
+ 00:44:24,320 --> 00:44:29,980
2019
+ ู…ุงููŠุด radial stress ูู„ู…ุง ุงู†ุง ุงุญุท ุงุฏูŠุจ ุณุทูˆุนู†ุง ูŠุนู†ูŠ
2020
+
2021
+ 506
2022
+ 00:44:29,980 --> 00:44:34,580
2023
+ ุงู„ููƒุฑุฉ ุงู†ู‡ ุงู†ุง ููŠ ุถุบุท ุงู„ุถุบุท ุจุนู…ู„ stresses ุงู†ุง ุจู‡ู…
2024
+
2025
+ 507
2026
+ 00:44:34,580 --> 00:44:38,020
2027
+ ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุน ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุจูŠูƒูˆู†
2028
+
2029
+ 508
2030
+ 00:44:38,020 --> 00:44:42,790
2031
+ ููŠ tangential stressูˆ ู„ุง ูŠูˆุฌุฏ ุฑุงุฏูŠูˆ ู„ู„ุถุบุท ุฅุฐุง ู„ู…
2032
+
2033
+ 509
2034
+ 00:44:42,790 --> 00:44:49,930
2035
+ ุชุณุชุฌูŠุจ ุงู„ุถุบุท ู…ุงุฐุง ุณูŠุญุฏุซุŸ ุณูŠุชู…ุฏุฏ ุงู„ุถุบุท ุฅุฐุง ุฑูƒู‘ุจุช
2036
+
2037
+ 510
2038
+ 00:44:49,930 --> 00:44:57,030
2039
+ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ู„ุฃู†
2040
+
2041
+ 511
2042
+ 00:44:57,030 --> 00:45:04,310
2043
+ ุงุฑุชูุน ุงู„ุถุบุท ุณูŠุชู…ุฏุฏ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ุชุชุบูŠุฑ ู…ุงุฐุงุŸ ุชุชุบูŠุฑ
2044
+
2045
+ 512
2046
+ 00:45:04,310 --> 00:45:04,570
2047
+ ู…ู‚ุงูˆู…ุชู‡
2048
+
2049
+ 513
2050
+ 00:45:07,370 --> 00:45:11,030
2051
+ ุชุชุบูŠุฑ ุงู„ resistance ุจู‚ูŠุณ ุงู„ resistance ูˆ ููŠ ุนู„ุงู‚ุฉ
2052
+
2053
+ 514
2054
+ 00:45:11,030 --> 00:45:15,170
2055
+ ุจูŠู† ุงู„ resistance ุนู„ุงู‚ุฉ ู†ุฑุฌุน ู„ุฌูˆู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
2056
+
2057
+ 515
2058
+ 00:45:15,170 --> 00:45:23,750
2059
+ delta R ู…ุน ุงู„ deflection ูˆ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน
2060
+
2061
+ 516
2062
+ 00:45:23,750 --> 00:45:28,450
2063
+ ุงูŠู‡ุŸ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma
2064
+
2065
+ 517
2066
+ 00:45:28,450 --> 00:45:34,030
2067
+ tangential ูˆ ุงู„ sigma tangential ุนู„ุงู‚ุฉ ููŠ ุงูŠู‡ุŸ ููŠ
2068
+
2069
+ 518
2070
+ 00:45:34,030 --> 00:45:40,980
2071
+ ุงู„ pressure ุงู„ู„ูŠ ู‡ูŠ ุงูŠู‡ุŸุนู† ุงู„ุณุทุญ ุงู„ุฎุงุฑุฌูŠ ุทุจุนุง ู‡ุฐุง
2072
+
2073
+ 519
2074
+ 00:45:40,980 --> 00:45:47,380
2075
+ ุฑ ุงูŠ ูˆ ู‡ุฐุง ุฑ ุงูˆ ุจูŠูƒูˆู† ุงู„ุงุฑ ุงูˆ ุจุงู„ุณุงูˆูŠ ุงูŠุด ุงู„ุงุฑ
2076
+
2077
+ 520
2078
+ 00:45:47,380 --> 00:45:50,260
2079
+ ุจูŠูƒูˆู† ุณุงูˆูŠ ุฑ ุงูˆ ูŠุนู†ูŠ ู‡ุฏุง ู‡ุชูƒูˆู† ุฑ ุงูˆ ุนู„ู‰ ุฑ ุงูˆ ุจูŠุตูŠุฑ
2080
+
2081
+ 521
2082
+ 00:45:50,260 --> 00:45:53,300
2083
+ ูˆุงุญุฏ ุฒุงุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุจุชูƒูˆู† ุงู„ sigma tangential
2084
+
2085
+ 522
2086
+ 00:45:53,300 --> 00:46:01,900
2087
+ sigma tangential ุจุงู„ุณุงูˆูŠ ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงูŠ ุนู„ู‰ ุฑ ุงูˆ
2088
+
2089
+ 523
2090
+ 00:46:01,900 --> 00:46:11,990
2091
+ ุชุฑุจูŠุน minus ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงุชู†ูŠู† ููŠ ุงุชู†ูŠู†ู„ุญุธุฉ ุงู„ ุฑ
2092
+
2093
+ 524
2094
+ 00:46:11,990 --> 00:46:19,550
2095
+ ุงูŠ ูˆ ุงู„ ุฑ ุงูˆ ูˆ ุงู„ ุฑ ุงูŠ ุงูŠู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฏูˆู„ุŸ ุซูˆุงุจุชุŒ
2096
+
2097
+ 525
2098
+ 00:46:19,550 --> 00:46:25,850
2099
+ ุตุญุŸ ูˆ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุซุงู„ุซุŒ ู…ุนู†ุงุชู‡ ุงู„ sigma ุจุงู„ุณูˆุตุงู†
2100
+
2101
+ 526
2102
+ 00:46:25,850 --> 00:46:32,270
2103
+ constant ุณู…ูŠู‡ alpha ู…ุน ุงู„ pressure ูุงู„ุนู„ุงู‚ุฉ
2104
+
2105
+ 527
2106
+ 00:46:32,270 --> 00:46:35,990
2107
+ ุจูŠู† ุงู„ stress ูˆ ุงู„ pressure linear
2108
+
2109
+ 528
2110
+ 00:46:39,040 --> 00:46:43,120
2111
+ ูˆุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ strain ูˆ ุงู„ tangential ุจุฑุถู‡ ู‡ุชูƒูˆู†
2112
+
2113
+ 529
2114
+ 00:46:43,120 --> 00:46:46,800
2115
+ ุงุฐุง ุงู†ุง ููŠ ุงู„ elastic range ู‡ุชูƒูˆู† ุงูŠู‡ุŸ linear
2116
+
2117
+ 530
2118
+ 00:46:46,800 --> 00:46:54,960
2119
+ ู‡ุชูƒูˆู† sigma tangential ุณูˆุงุก E ููŠ delta ูŠุนู†ูŠ ุจุญุณ
2120
+
2121
+ 531
2122
+ 00:46:54,960 --> 00:47:02,200
2123
+ ุงู†ู‡ุง ุงูŠู‡ุŸ ุงู„ delta ุจุฑุฌุน ูˆ ุฑุฌูˆุน ูˆ ุงู„ delta ู…ุน delta
2124
+
2125
+ 532
2126
+ 00:47:02,200 --> 00:47:11,670
2127
+ R linear ูˆุงุถุญุŸ ููŠ ุงู„ุขุฎุฑุงู„ู€ Delta R ู…ุฑุชุจุทุฉ ู…ุน ุงู„
2128
+
2129
+ 533
2130
+ 00:47:11,670 --> 00:47:15,270
2131
+ input ุจุชุงุนู†ุง ุงู„ pressure ู…ุฏุฉ ุงู„ pressure ุชู†ุจุฌู†ุด ุงู„
2132
+
2133
+ 534
2134
+ 00:47:15,270 --> 00:47:20,710
2135
+ stress deflection ุงูˆ strain ุจุนุฏูŠู† change ุงู„
2136
+
2137
+ 535
2138
+ 00:47:20,710 --> 00:47:25,750
2139
+ resistance ูˆ I measure ุงู„ resistance ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ
2140
+
2141
+ 536
2142
+ 00:47:25,750 --> 00:47:29,550
2143
+ ู‡ูˆ ุงู„ููƒุฑุฉ
2144
+
2145
+ 537
2146
+ 00:47:29,550 --> 00:47:33,850
2147
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุน
2148
+
2149
+ 538
2150
+ 00:47:33,850 --> 00:47:34,490
2151
+ ุงู„ุชุงู†ูŠ ู…ู†
2152
+
2153
+ 539
2154
+ 00:48:12,200 --> 00:48:17,140
2155
+ ุทูŠุจ ู…ุนู†ุงู‡ ุชู‚ุฏุญุฉ ุงู„ููƒุฑุฉ ุฃุญุฏ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง
2156
+
2157
+ 540
2158
+ 00:48:17,140 --> 00:48:19,540
2159
+ pressure cell pressure cell pressure cell pressure
2160
+
2161
+ 541
2162
+ 00:48:19,540 --> 00:48:20,240
2163
+ cell pressure cell pressure cell pressure cell
2164
+
2165
+ 542
2166
+ 00:48:20,240 --> 00:48:21,860
2167
+ pressure cell pressure cell pressure cell pressure
2168
+
2169
+ 543
2170
+ 00:48:21,860 --> 00:48:22,480
2171
+ cell pressure cell pressure cell pressure cell
2172
+
2173
+ 544
2174
+ 00:48:22,480 --> 00:48:22,720
2175
+ pressure cell pressure cell pressure cell pressure
2176
+
2177
+ 545
2178
+ 00:48:22,720 --> 00:48:22,720
2179
+ cell pressure cell pressure cell pressure cell
2180
+
2181
+ 546
2182
+ 00:48:22,720 --> 00:48:22,760
2183
+ pressure cell pressure cell pressure cell pressure
2184
+
2185
+ 547
2186
+ 00:48:22,760 --> 00:48:22,760
2187
+ cell pressure cell pressure cell pressure cell
2188
+
2189
+ 548
2190
+ 00:48:22,760 --> 00:48:23,060
2191
+ pressure cell pressure cell pressure cell pressure
2192
+
2193
+ 549
2194
+ 00:48:23,060 --> 00:48:24,100
2195
+ cell pressure cell pressure cell pressure cell
2196
+
2197
+ 550
2198
+ 00:48:24,100 --> 00:48:26,440
2199
+ pressure cell pressure cell pressure cell pressure
2200
+
2201
+ 551
2202
+ 00:48:26,440 --> 00:48:26,440
2203
+ cell pressure cell pressure cell pressure cell
2204
+
2205
+ 552
2206
+ 00:48:26,440 --> 00:48:27,120
2207
+ pressure cell pressure cell pressure cell pressure
2208
+
2209
+ 553
2210
+ 00:48:27,120 --> 00:48:27,120
2211
+ cell pressure cell pressure cell pressure cell
2212
+
2213
+ 554
2214
+ 00:48:27,120 --> 00:48:27,120
2215
+ pressure cell pressure cell pressure cell pressure
2216
+
2217
+ 555
2218
+ 00:48:27,120 --> 00:48:27,120
2219
+ cell pressure cell pressure cell pressure cell
2220
+
2221
+ 556
2222
+ 00:48:27,120 --> 00:48:27,120
2223
+ pressure cell pressure cell pressure cell pressure
2224
+
2225
+ 557
2226
+ 00:48:27,120 --> 00:48:27,120
2227
+ cell pressure cell pressure cell pressure cell
2228
+
2229
+ 558
2230
+ 00:48:27,120 --> 00:48:27,120
2231
+ pressure cell pressure cell pressure cell pressure
2232
+
2233
+ 559
2234
+ 00:48:27,120 --> 00:48:27,120
2235
+ cell pressure cell pressure cell pressure cell
2236
+
2237
+ 560
2238
+ 00:48:27,120 --> 00:48:27,120
2239
+ pressure cell pressure cell pressure cell pressure
2240
+
2241
+ 561
2242
+ 00:48:27,120 --> 00:48:27,120
2243
+ cell pressure cell pressure cell pressure cell
2244
+
2245
+ 562
2246
+ 00:48:27,120 --> 00:48:27,120
2247
+ pressure cell pressure cell pressure cell pressure
2248
+
2249
+ 563
2250
+ 00:48:27,120 --> 00:48:27,120
2251
+ cell pressure cell pressure cell pressure cell
2252
+
2253
+ 564
2254
+ 00:48:27,120 --> 00:48:27,120
2255
+ pressure cell pressure cell pressure cell pressure
2256
+
2257
+ 565
2258
+ 00:48:27,120 --> 00:48:27,120
2259
+ cell pressure cell pressure cell pressure cell
2260
+
2261
+ 566
2262
+ 00:48:27,120 --> 00:48:27,120
2263
+ pressure cell pressure cell pressure cell pressure
2264
+
2265
+ 567
2266
+ 00:48:27,120 --> 00:48:32,020
2267
+ cell pressure cell pressure cell pressure
2268
+
2269
+ 568
2270
+ 00:48:32,020 --> 00:48:39,380
2271
+ cell pressure
2272
+
2273
+ 569
2274
+ 00:48:39,380 --> 00:48:42,200
2275
+ cell pressure cellุงู„ุชู…ุงุช ุจูŠุนู…ู„ delta R ุจู‚ูŠุณ ุฏู„ุชุง R
2276
+
2277
+ 570
2278
+ 00:48:42,200 --> 00:48:46,020
2279
+ ู‡ูˆ ูˆููŠ two strain gauges ุทุจุนุง ู‡ู†ุง ู‚ูˆูŠุฉ ุฌุฏุง ู‡ู†ุง ููŠ
2280
+
2281
+ 571
2282
+ 00:48:46,020 --> 00:48:49,520
2283
+ strain gauges ูŠุนู†ูŠ ุจูŠุญุท ุงุชู†ูŠู† ุถุงู…ูŠ strain gauges
2284
+
2285
+ 572
2286
+ 00:48:49,520 --> 00:48:56,100
2287
+ ุนุดุงู† ุชุนู…ู„ temperature compensation ูƒูŠูุŸ ูŠุนู†ูŠ ู‡ู†ุง
2288
+
2289
+ 573
2290
+ 00:48:56,100 --> 00:49:00,980
2291
+ ู‡ู†ููŠุด strain ูŠุนู†ูŠ ุงูุชุฑุถ ุงู† ุนู†ุฏูƒ ุงู„ liquid ุงูˆ ุงู„ุบุงุฒ
2292
+
2293
+ 574
2294
+ 00:49:00,980 --> 00:49:09,220
2295
+ ุณุฎู† ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ุญุชุฉ ุทูŠู† ูŠุนู†ูŠุงู„ุชู…ุฏุฏ due to
2296
+
2297
+ 575
2298
+ 00:49:09,220 --> 00:49:15,740
2299
+ temperature ูˆ due to pressure ู‡ุฐุง ุงูŠุด ุจูŠุนุทูŠู†ุง ุจุณ
2300
+
2301
+ 576
2302
+ 00:49:15,740 --> 00:49:21,200
2303
+ temperature ุจุทุฑุญู‡ู… ุจูŠุนุทูŠู†ูŠ ุงู„ net ู†ุชูŠุฌุฉ ุงูŠุด ุงู„
2304
+
2305
+ 577
2306
+ 00:49:21,200 --> 00:49:26,180
2307
+ pressure ูˆุงุถุญ ู„ูŠุด ู‡ุงุฏ ุงู„ู…ูˆุฌูˆุฏูŠู† ุจูŠุณู…ูˆู‡ุง dummy
2308
+
2309
+ 578
2310
+ 00:49:26,180 --> 00:49:31,720
2311
+ strain gauges ุงูˆ temperature compensating strain
2312
+
2313
+ 579
2314
+ 00:49:31,720 --> 00:49:39,050
2315
+ gauges ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุงู†ุง ุจู‚ูŠุณ ุงู„ .. ุงู„ ..ุงู„
2316
+
2317
+ 580
2318
+ 00:49:39,050 --> 00:49:48,030
2319
+ pressure ุจุทุฑูŠู‚ุฉ digital somehow digital ู‡ุฐู‡ ุงู„ู„ูŠ
2320
+
2321
+ 581
2322
+ 00:49:48,030 --> 00:49:54,610
2323
+ ู‡ูŠ ุงู„ strain gauge pressure ุณู„ ุทุจุนุง
2324
+
2325
+ 582
2326
+ 00:49:54,610 --> 00:49:58,410
2327
+ ุงู†ุง ุจุฏุฃ ุงุฏุฎู„ design ุงู„ุชูุงุตูŠู„ ูˆ ุจุฏุฃ ุงุดูˆู ุงู„
2328
+
2329
+ 583
2330
+ 00:49:58,410 --> 00:50:03,910
2331
+ material ุจุชุงุนุฉ ุงู„ cylinder ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ ุงู„
2332
+
2333
+ 584
2334
+ 00:50:03,910 --> 00:50:10,890
2335
+ thickness ุงู„ุทูˆู„ุงู„ุทูˆู„ ูˆ ุงู„ response ุจุชุงุนู‡ุง ู…ุน ุฏุฑุฌุฉ
2336
+
2337
+ 585
2338
+ 00:50:10,890 --> 00:50:16,370
2339
+ ุงู„ุญุฑุงุฑุฉ ูˆ ุทุฑูŠู‚ุฉ ุงู„ connection ูŠุนู†ูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
2340
+
2341
+ 586
2342
+ 00:50:16,370 --> 00:50:20,550
2343
+ ู„ุงุฒู… ุชูƒูˆู† ุฅูŠุงุด ููŠ ุณู…ุงูƒุฉ ู‡ูŠ ู…ุชูˆู‚ุนุฉ ุชูƒูˆู† ููŠ
2344
+
2345
+ 587
2346
+ 00:50:20,550 --> 00:50:27,110
2347
+ thickness ูŠูƒูˆู† ุฅูŠุงุด ู‚ู„ูŠู„ ูŠุนู†ูŠ
2348
+
2349
+ 588
2350
+ 00:50:27,110 --> 00:50:29,230
2351
+ ุฃููƒุงุฑ ุณู‡ู„ุฉ
2352
+
2353
+ 589
2354
+ 00:50:42,190 --> 00:50:48,730
2355
+ ูŠุนู†ูŠ ุงู„ุจุนุถ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุฃู†ุช ุชุนู…ู„ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ุงู„ุฎุงุต
2356
+
2357
+ 590
2358
+ 00:50:48,730 --> 00:50:55,330
2359
+ ููŠูƒ ูƒู„ ู…ุง ุจุฏุฃุช ุงู„ุณูŠุท ูŠุนู†ูŠ ุงูŠูˆุฉ ูู„ูˆ ุงู†ุง ุจุฏุฃ ุงุนู…ู„
2360
+
2361
+ 591
2362
+ 00:50:55,330 --> 00:51:00,270
2363
+ ุดุบู„ very low pressure ู…ู…ูƒู† ุงุนู…ู„ ุฌู‡ุฒุฉ ู‡ูŠูƒ ุนุงู…
2364
+
2365
+ 592
2366
+ 00:51:00,270 --> 00:51:06,610
2367
+ ุจุงู„ู„ูˆู† ุฎุตูˆุตุง ุงูˆ ู…ูŠุฒุงู†ุฃู‡ ููŠ ุดุบู„ุงุช ูƒุชูŠุฑ ู…ู…ูƒู† ุชู†ุนู…ู„
2368
+
2369
+ 593
2370
+ 00:51:06,610 --> 00:51:10,770
2371
+ ุทูŠุจ ุงู„ุงู† ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุทุจุนุง ู‡ู†ุง sensitive of a
2372
+
2373
+ 594
2374
+ 00:51:10,770 --> 00:51:13,670
2375
+ pair of circumferentially mounted strain with
2376
+
2377
+ 595
2378
+ 00:51:13,670 --> 00:51:16,290
2379
+ gauge factor of ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2380
+
2381
+ 596
2382
+ 00:51:16,290 --> 00:51:16,290
2383
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2384
+
2385
+ 597
2386
+ 00:51:16,290 --> 00:51:16,470
2387
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2388
+
2389
+ 598
2390
+ 00:51:16,470 --> 00:51:16,510
2391
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2392
+
2393
+ 599
2394
+ 00:51:16,510 --> 00:51:16,770
2395
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2396
+
2397
+ 600
2398
+ 00:51:16,770 --> 00:51:19,190
2399
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2400
+
2401
+ 601
2402
+ 00:51:19,190 --> 00:51:19,790
2403
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2404
+
2405
+ 602
2406
+ 00:51:19,790 --> 00:51:23,350
2407
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2408
+
2409
+ 603
2410
+ 00:51:23,350 --> 00:51:27,770
2411
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2412
+
2413
+ 604
2414
+ 00:51:27,770 --> 00:51:33,660
2415
+ ู„ .. ู„ ..ุงู„ู€ change of resistance due to change in
2416
+
2417
+ 605
2418
+ 00:51:33,660 --> 00:51:39,120
2419
+ dimensions ุงู„ P I ุงู„ู„ูŠ ู‡ูˆ ุงู„ pressure inside ุงู„
2420
+
2421
+ 606
2422
+ 00:51:39,120 --> 00:51:45,140
2423
+ tube ุงู„ R ุงู„ู„ูŠ ู‡ูŠ ุงู„ nominal resistance ุงูˆ ุงู„
2424
+
2425
+ 607
2426
+ 00:51:45,140 --> 00:51:48,260
2427
+ nominal resistance ู„ู„ string gauge ุงู„ู„ูŠ ู‡ูŠ
2428
+
2429
+ 608
2430
+ 00:51:48,260 --> 00:51:52,890
2431
+ resistance ุจุชุงุนุชู‡ ุงู„ nominalุงู„ู€ D ุงู„ูƒุชุฑ ุงู„ุฏุงุฎู„ู‰ ุงู„
2432
+
2433
+ 609
2434
+ 00:51:52,890 --> 00:51:56,650
2435
+ E ุงู„ู„ู‰ ู‡ู‰ ุงู„ modulus of elasticity ุงู„ New ุงู„ู„ู‰ ู‡ู‰
2436
+
2437
+ 610
2438
+ 00:51:56,650 --> 00:52:02,290
2439
+ Poisson ratio ุงู„ D ูƒุจุชุฑ ุงู„ู„ู‰ ู‡ู‰ ุงู„ูƒุชุฑ ุงู„ุฎุงุฑุฌู‰
2440
+
2441
+ 611
2442
+ 00:52:02,290 --> 00:52:11,050
2443
+ ุทูŠุจ ููŠ ุงู„ .. ุทุจุนุง ูู‰ ุงู„ูƒุชุงุจ ูู‰ ุฃุฌุฒุฉ ูƒุชูŠุฑ ู„ู‚ูŠุงุณ
2444
+
2445
+ 612
2446
+ 00:52:11,050 --> 00:52:16,270
2447
+ ุงู„ูุฑุดุนุงู„ุฉ ุฐูƒุฑ ุฌุฒุก ุจุณูŠุท ู…ู†ู‡ุงุงู„ููƒุฑุฉ ุจุบุถ ุงู„ู†ุธุฑ ุนู†
2448
+
2449
+ 613
2450
+ 00:52:16,270 --> 00:52:19,670
2451
+ ุงู„ุฌู‡ุงุฒ .. ุนู† .. ุนู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู… ู„ู„ู‚ูŠุงุณ how to
2452
+
2453
+ 614
2454
+ 00:52:19,670 --> 00:52:22,270
2455
+ calibrate it ูƒูŠู ู†ุนู…ู„ู‡ calibration ูŠุนู†ูŠ ู‡ุชุนู…ู„ู‡
2456
+
2457
+ 615
2458
+ 00:52:22,270 --> 00:52:28,590
2459
+ ุชุฌุฑุจุฉ ุฌู‰ ู…ุซู„ุง ุฌู‡ุงุฒ ุจุณ ู…ุงุนุฑูุด ุงุฐุง ุจุฏู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ
2460
+
2461
+ 616
2462
+ 00:52:28,590 --> 00:52:35,670
2463
+ ู‡ูˆ ุงู„ dead center ุงู„ dead weight center
2464
+
2465
+ 617
2466
+ 00:52:35,670 --> 00:52:42,710
2467
+ pressure gauge ุงู„ู„ูŠ
2468
+
2469
+ 618
2470
+ 00:52:42,710 --> 00:52:48,600
2471
+ ู‡ูˆ ู‡ุฐุงุนุดุงู† to calibrate any pressure measuring
2472
+
2473
+ 619
2474
+ 00:52:48,600 --> 00:52:53,760
2475
+ device ู„ูˆ ุจุฏู‰ ุฃุณุชุฎุฏู… ุงู„ุฌู‡ุงุฒ ุฏู‡ for calibration ุจุฏู‰
2476
+
2477
+ 620
2478
+ 00:52:53,760 --> 00:53:02,620
2479
+ ุฃุณุชุฎุฏู… ุงูˆุฒุงู† ูˆ ุงู„ุฌู‡ุงุฒ ุฏู‡ ู…ุงู„ู‡ calibration ุจูˆุตู„ู‡
2480
+
2481
+ 621
2482
+ 00:53:02,620 --> 00:53:11,520
2483
+ ู‡ู†ุง ุงู„ุงู† ู‡ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ mass
2484
+
2485
+ 622
2486
+ 00:53:14,720 --> 00:53:21,700
2487
+ ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ weight ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ P ุงู„ true ุฏู‡
2488
+
2489
+ 623
2490
+ 00:53:21,700 --> 00:53:26,780
2491
+ ุณุงู…ุน ุงู„ true pressure ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง true ู…ุด true
2492
+
2493
+ 624
2494
+ 00:53:26,780 --> 00:53:34,160
2495
+ ู…ูŠูู„ู…ูŠุฉ ุจุนุฏูŠู† ุงู„ P indicated ุงู„ indicated pressure
2496
+
2497
+ 625
2498
+ 00:53:34,160 --> 00:53:39,700
2499
+ indicated ููŠู† ุงู„ range ุชุงุนู‡ ู…ุซู„ุง ู†ุญูƒูŠ ู…ู† ุงู„ range
2500
+
2501
+ 626
2502
+ 00:53:39,700 --> 00:53:50,740
2503
+ ุชุงุนู‡ ู…ุซู„ุง ู…ู† ุณูุฑู„ุญุฏ ู…ุงุฆุฉ ู…ูŠ๏ฟฝ๏ฟฝุง ุจุณ ูƒุฏู‡ ู‡ุจุฏุฃ ู…ู† ุตูุฑ
2504
+
2505
+ 627
2506
+ 00:53:50,740 --> 00:53:57,560
2507
+ pressure zero ู„ุฃ ู…ุด ู‡ุญุทูˆู„ ุจู‚ู‰ ู‡ุจุฏุฃ zero ุงูˆู„ ุดูŠ
2508
+
2509
+ 628
2510
+ 00:53:57,560 --> 00:54:05,020
2511
+ ูˆุงุฎุฏ ู‚ุฑุงุกุงุช ู„ุงุฒู… ุงุบุทูŠ ูƒู„ ุงู„ range ุนู†ุฏ ู…ูŠู‡ ู„ูˆ ุญูƒูŠุช
2512
+
2513
+ 629
2514
+ 00:54:05,020 --> 00:54:08,760
2515
+ ุงู†ุง ูƒู„ ุนุดุฑูŠู† ู…ูŠุฌุง ู‡ุงุฎุฏ ู‡ุงูŠ ุนุดุฑูŠู†
2516
+
2517
+ 630
2518
+ 00:54:12,230 --> 00:54:15,970
2519
+ ูŠุนู†ูŠ ุงู†ุง ุจูƒูˆู† ุญุงุณุจ ุงูƒู… ุจุฏู‰ ูˆุฒู† ุนุดุงู† ุงุนุทูŠ ุนุดุฑูŠู†
2520
+
2521
+ 631
2522
+ 00:54:15,970 --> 00:54:21,190
2523
+ ู…ูŠุฌุง ุงู„ mass ุจุญุณ
2524
+
2525
+ 632
2526
+ 00:54:21,190 --> 00:54:30,650
2527
+ ูŠุนุทูŠู†ุง ุนุดุฑูŠู† ู…ูŠุฌุง ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ
2528
+
2529
+ 633
2530
+ 00:54:30,650 --> 00:54:36,070
2531
+ ุจุฑุถู‡ ุจุฏู‰ ุงุฑุฌุน ุฌูˆุน ุชู…ุงู†ูŠู†
2532
+
2533
+ 634
2534
+ 00:54:38,930 --> 00:54:46,890
2535
+ ุณุชูŠู† ุงุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ู„ู…ุง ุงุฑุฌุน ุจุดูŠุด ุงู„ูˆุฒู†ุฉ ูƒู„ู‡ุง ูˆ
2536
+
2537
+ 635
2538
+ 00:54:46,890 --> 00:54:54,270
2539
+ ุจุญุท ุงู„ูˆุฒู† ุฏูŠ ู„ุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุจุฎุชู„ู ุงู„ุงุดูŠุงุก ุงู†ุง ุนุงุฑู
2540
+
2541
+ 636
2542
+ 00:54:54,270 --> 00:54:58,010
2543
+ ู†ูุณูŠ ุงู„ balance ุงู‡ ู‡ุฐู‡ ู…ุฎุชู„ูุฉ ูุงู†ุช ุชุนู…ู„ ุงู„
2544
+
2545
+ 637
2546
+ 00:54:58,010 --> 00:55:01,290
2547
+ calibration ุงู†ุง ู…ุฑูƒุฒ ุนู„ู‰ ุงู„ calibration ูƒุชูŠุฑู„ุฃู† ุฒูŠ
2548
+
2549
+ 638
2550
+ 00:55:01,290 --> 00:55:04,630
2551
+ .. ู‡ุชุดุชุบู„ .. ู‡ุชุดุชุบู„ calibration ุงู„ู‚ูŠุงุณ .. ุฃูŠ ุญุฏ
2552
+
2553
+ 639
2554
+ 00:55:04,630 --> 00:55:07,010
2555
+ ู…ู…ูƒู† ูŠุงุฎุฏ ู‚ูŠุงุณุงุช ู…ู…ูƒู† .. ูŠุนู†ูŠ ุงู„ calibration ู…ู…ูƒู†
2556
+
2557
+ 640
2558
+ 00:55:07,010 --> 00:55:10,450
2559
+ ุชุจุตูŠ ู„ู‡ ุญุงุฌุฉ ุงู†ูƒ ุจุชู‚ูŠุต ุตุญ ูˆ ุจุชูู‡ู… ุงู„ุฌู‡ุงุฒ ูƒุฏู‡
2560
+
2561
+ 641
2562
+ 00:55:10,450 --> 00:55:14,710
2563
+ ุจูŠุดุชุบู„ ุตุญ ูˆ ุงูŠุด ู…ุตุงุฏุฑ ุงู„ุฎุทุฃ ููŠู‡ ูุจุฑุถู‡ ู‡ุชุนู…ู„ ุงู„
2564
+
2565
+ 642
2566
+ 00:55:14,710 --> 00:55:19,570
2567
+ calibration ู„ุฃุญุฏ ุงู„ุฃุฌุฒุฉ calibration ุงูˆ ู…ู…ูƒู† ูŠุณู…ูŠู‡
2568
+
2569
+ 643
2570
+ 00:55:19,570 --> 00:55:22,950
2571
+ characterization ู…ุด ุนุงุฑู ู…ู† ุฌู‡ุฉ ู†ูุณูŠ ู…ู…ูƒู† ู†ุณุชุฎุฏู…
2572
+
2573
+ 644
2574
+ 00:55:22,950 --> 00:55:26,150
2575
+ ุฌู‡ุงุฒ ู„ู„ calibration ุฃูƒุชุฑ ุฏู‚ุฉ ูŠุนู†ูŠ ุงู†ุง ุงุฎุฏ ู‚ุฑุงุกุฉ
2576
+
2577
+ 645
2578
+ 00:55:26,150 --> 00:55:29,710
2579
+ ุฌู‡ุงุฒ ุฃูƒุชุฑ .. ูŠุนู†ูŠ ุงุนู…ู„ ู…ุง ูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ู…ุนุงูŠุฑุฉ
2580
+
2581
+ 646
2582
+ 00:55:29,710 --> 00:55:39,740
2583
+ ู†ุณุจูŠุฉู…ุนุงูŠุฑุฉ ู†ุณุจูŠุฉ ู‡ุณุชุฎุฏู… ุฌู‡ุงุฒ ุงูƒุซุฑ ุฏู‚ุฉ ุทุจุนุง
2584
+
2585
+ 647
2586
+ 00:55:39,740 --> 00:55:44,840
2587
+ ู‡ูƒูˆู† ููŠู‡ ู‚ูŠู… ุงู„ู„ูŠ ู‡ู‚ุฑุงู‡ุง ุงู† ู‡ุฐู‡ ุงู„ indicated ูˆ
2588
+
2589
+ 648
2590
+ 00:55:44,840 --> 00:55:52,200
2591
+ ุจุนุฏูŠู† plot ุงู„ PI ู…ุน ุงู„ P true ู‡ุงูŠ
2592
+
2593
+ 649
2594
+ 00:55:52,200 --> 00:55:55,280
2595
+ ุงู„ hysteresis ู‡ุชุดูˆู ุงู„ linearity
2596
+
2597
+ 650
2598
+ 00:55:58,800 --> 00:56:05,940
2599
+ ูˆ zero offset ุฌูŠุจูˆุง ุงูŠ pressure gauge ู…ู† ุงูŠ ุดุฑูƒุฉ ูˆ
2600
+
2601
+ 651
2602
+ 00:56:05,940 --> 00:56:07,900
2603
+ ุงูุชุญูˆุง ุงู„ catalog ุจุชุงุนุชู‡ ูˆ ุงุทู„ุนูˆุง ุงู„ data sheet
2604
+
2605
+ 652
2606
+ 00:56:07,900 --> 00:56:11,980
2607
+ ู…ู…ูƒู† ุงุทู„ุนูˆุง ุงุด ู…ู…ูƒู† ุงุนุทูŠูƒูˆุง linear ูˆ zero offset ูˆ
2608
+
2609
+ 653
2610
+ 00:56:11,980 --> 00:56:18,760
2611
+ ุงู„ hysteresis ุงู‚ุฑุฃูˆุง ู…ู…ูƒู†
2612
+
2613
+ 654
2614
+ 00:56:18,760 --> 00:56:26,020
2615
+ ุงุนุทูŠูƒูˆุง project design ุงุนู…ู„ ู„ุฌู‡ุงุฒ ู‡ุฐุง
2616
+
2617
+ 655
2618
+ 00:56:32,860 --> 00:56:38,380
2619
+ ู†ู‡ ู…ุน ุญุณุงุจุงุช ุงู„ solid work ุจุฑู†ุงู…ุฌ ู„ู„ุฑุณู… ุฃุฏุงุฉ ู…ู†
2620
+
2621
+ 656
2622
+ 00:56:38,380 --> 00:56:45,120
2623
+ ุฃุฏูˆุงุช ุงู„ุฑุณู… ุงู„ solid work ู‡ูˆ ุงู„ู…ุตุทุฑู‡ ุชุงุนุชูƒ ุงูˆู„ ู…ุง
2624
+
2625
+ 657
2626
+ 00:56:45,120 --> 00:56:50,640
2627
+ ู‡ูŠ ุงูˆู„ ู…ุญุงูŠุง ุงุฐุง ุงู†ุช ุจู†ู‰ ุงู„ู…ุตุทุฑ ูŠู†ุชุจุนูƒ ุจุณ ุจุฏูƒ ุจู†ู‰
2628
+
2629
+ 658
2630
+ 00:56:50,640 --> 00:56:57,440
2631
+ ูŠุจู†ู‰ ุตุญ ูˆ ูŠุญุณู† ุตุญุŸ ู…ุงุชุญูƒูˆู„ุด solid work ูŠุนู†ูŠ ุงูˆ ุงุดูŠ
2632
+
2633
+ 659
2634
+ 00:56:57,440 --> 00:57:00,540
2635
+ ูƒุจูŠุฑ ุนุงุฏู‰ ุฒู…ุงู† ูƒุงู† ุตุงู…ู… ุจุฏูˆู† solid work
2636
+
2637
+ 660
2638
+ 00:57:07,400 --> 00:57:13,860
2639
+ ูู…ู…ูƒู† ุงุฐุง ุญุงุจูŠู† ุงุนุทูŠูƒูˆุง project ุงุชุตู…ู…ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ
2640
+
2641
+ 661
2642
+ 00:57:13,860 --> 00:57:20,280
2643
+ dead weight tester ุทุจุนุง ู‡ุชุดูˆู ู…ุซู„ุง ูƒูŠู ุจู†ุญุตู„ ุงู„
2644
+
2645
+ 662
2646
+ 00:57:20,280 --> 00:57:24,940
2647
+ pressure ููŠู‡ ู„ู‡ุง ู…ุนุงุฏู„ุฉ ุงู„ู…ุนุงุฏู„ุฉ ู…ุด ู…ุจุงุดุฑุฉ ุงู†ุช
2648
+
2649
+ 663
2650
+ 00:57:24,940 --> 00:57:32,120
2651
+ ุญูƒูŠู‡ ูˆุงู„ู„ู‡ ุงู„ pressureุจุณูˆุฉ F ุนู„ู‰ A ุจุณูˆุฉ ุฃุฑุจุน F ุนู„ู‰
2652
+
2653
+ 664
2654
+ 00:57:32,120 --> 00:57:36,200
2655
+ Pi D ุชุฑุจูŠุน ู‡ุฐู‡ ุงู„ basic equation ุจุณ ููŠ corrections
2656
+
2657
+ 665
2658
+ 00:57:36,200 --> 00:57:44,100
2659
+ ููŠ corrections corrections
2660
+
2661
+ 666
2662
+ 00:57:44,100 --> 00:57:50,880
2663
+ for ุงู„ู„ูŠ ู‡ูˆ friction ู„ู„ pistol ู…ุน ุงู„ุฌุฏุฑุงู† ูˆููŠ
2664
+
2665
+ 667
2666
+ 00:57:50,880 --> 00:57:57,310
2667
+ correction ู„ู„ damping ุงู„ู„ูŠ ู‡ูŠุงู„ุฏู…ุจู† ู†ุชูŠุฌุฉ ุงู†ูŠุฑุด ู…ุน
2668
+
2669
+ 668
2670
+ 00:57:57,310 --> 00:58:02,850
2671
+ ุฒูŠุช ุจูŠุนู…ู„ ุฒูŠ ุชู…ูˆูŠุช ุงูˆ damping ูููŠู‡ ู„ู‡ correction
2672
+
2673
+ 669
2674
+ 00:58:02,850 --> 00:58:07,130
2675
+ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ corrections ูˆููŠู‡ correction ู†ุนู… ุฑูˆุญ
2676
+
2677
+ 670
2678
+ 00:58:07,130 --> 00:58:11,090
2679
+ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ุงูƒุชุจ damping spring ุฑูˆุญ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ
2680
+
2681
+ 671
2682
+ 00:58:11,090 --> 00:58:17,650
2683
+ ุงูƒุชุจ spring damper system
2684
+
2685
+ 672
2686
+ 00:58:30,580 --> 00:58:35,020
2687
+ ุนู†ุฏูƒ .. ุฏู‡ ูˆู„ุง ุญุงุฌุฉ ู…ุด ู‡ุดุฑุญู„ูƒ ู‡ูŠ .. ู‡ุชูƒูˆู† .. ู‡ุชุดูˆู
2688
+
2689
+ 673
2690
+ 00:58:35,020 --> 00:58:38,340
2691
+ ููŠู‡ ุฃู…ุซู„ุฉ ูˆ ุฑุฌุน ุดูˆู ููŠ ุงู„ูŠูˆุชูŠูˆุจ ุฅูŠุด ุจูŠุญูƒูˆุง ุน ุงู„
2692
+
2693
+ 674
2694
+ 00:58:38,340 --> 00:58:43,680
2695
+ spring damper system ุงุชูู‡ู…ุด ู‡ูˆ .. ููŠ ู…ุญุงุถุฑุฉ ูƒุชูŠุฑ
2696
+
2697
+ 675
2698
+ 00:58:43,680 --> 00:58:49,040
2699
+ ู‡ุชู„ุงู‚ูŠู‡ุง ุชุชุฐูƒุฑู‡ุง
2700
+
2701
+ 676
2702
+ 00:58:49,040 --> 00:58:58,080
2703
+ ูููŠู‡ุง
2704
+
2705
+ 677
2706
+ 00:58:58,080 --> 00:58:58,500
2707
+ ุณุคุงู„
2708
+
2709
+ 678
2710
+ 00:59:02,650 --> 00:59:06,690
2711
+ ู‡ู„ ุจุชุฏุฎู„ ุนู„ู‰ solid work ุนุงุฏูŠุŸ ุฏู„ูˆู‚ุชูŠ ู…ุด ู‡ุงูƒูŠู„ ุงู„
2712
+
2713
+ 679
2714
+ 00:59:06,690 --> 00:59:12,130
2715
+ solid work ุงู„ ุตุฏู‚ ุงุฏุงุก ุงู„ู„ูŠ ุงู†ุง ุงู†ุช ุดูˆู ุงูŠู‡ ู…ุด
2716
+
2717
+ 680
2718
+ 00:59:12,130 --> 00:59:18,950
2719
+ ู…ุทู„ูˆุจ ูŠุนู…ู„ู‡ ุนุดุงู† ุงุนู…ู„ design ู‡ุงูŠ ุงู„ููƒุฑุฉ ุจุชุงุนุชู‡ ู‡ุงูŠ
2720
+
2721
+ 681
2722
+ 00:59:18,950 --> 00:59:24,400
2723
+ ุงู„ููƒุฑุฉุงู†ุง ุจุฏูŠ ูƒูˆู†ุฏูŠ system ุฒูŠ ู‡ูŠูƒ ุจุชุถุงุฑู ุงู„ู‚ุทุฑ ู‡ุฐู‡
2724
+
2725
+ 682
2726
+ 00:59:24,400 --> 00:59:30,120
2727
+ ุงู„ุณู…ุงูƒุงุช ู‡ุฐู‡ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ piston ู‚ูŠู… ุงู„ุฃูˆุฒุงู† ูˆุด
2728
+
2729
+ 683
2730
+ 00:59:30,120 --> 00:59:33,140
2731
+ ุงู„ pressure range ุงู„ุฎุฒุงู† ุฃูƒู… ุณุงุนุชู‡ ูˆููŠ ุนู†ุฏู‡ูŠู†
2732
+
2733
+ 684
2734
+ 00:59:33,140 --> 00:59:38,380
2735
+ adjustment ูˆููŠ ุนู†ุฏู‡ูŠู† ุงู„ูุชุญูŠู† ูˆ ุชูุงุตูŠู„ ููŠู‡ุง ุฌูŠุช
2736
+
2737
+ 685
2738
+ 00:59:38,380 --> 00:59:44,640
2739
+ ุฏูƒุชูˆุฑ ููŠ ุงู„ุฌู‡ุงุฒ ู‡ุฐุง ุงู„ุดุณู… ุงู„ diameter ู„ู„ุงู†ุงุจูŠ
2740
+
2741
+ 686
2742
+ 00:59:44,640 --> 00:59:49,060
2743
+ ูŠูƒูˆู†ู‡ุง ู†ูุณ ุงู„ุญุงุฌุฉ ูˆู„ุง ู…ุงุจุชุฎุชู„ุŸ ู…ุด ุนุงุฑู ุงู†ุช ู‡ุชุตู…ู…ุŸ
2744
+
2745
+ 687
2746
+ 01:00:07,030 --> 01:00:10,730
2747
+ ุทุจุนุง ุงู„ pressure ู‡ู†ุง ุทุจุนุง ุงู„ุงุฑุชูุงุน ู…ุด ู‡ูƒูˆู† ูƒุจูŠุฑ
2748
+
2749
+ 688
2750
+ 01:00:10,730 --> 01:00:13,710
2751
+ ูุงู„ pressure ููŠ ูƒู„ ู…ูƒุงู† ููŠ ุงู„ุฒูŠุช ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠ
2752
+
2753
+ 689
2754
+ 01:00:13,710 --> 01:00:20,480
2755
+ ุชู‚ุฑูŠุจุงูŠุนู†ูŠ ุงู„ head difference is not significant
2756
+
2757
+ 690
2758
+ 01:00:20,480 --> 01:00:25,260
2759
+ ูุงู„ pressure ู‡ูˆ ุงู„ู…ูƒุงู† ู‡ูƒูˆู† ู†ูุณู‡ ูุงู„ pressure ู‡ู†ุง
2760
+
2761
+ 691
2762
+ 01:00:25,260 --> 01:00:32,200
2763
+ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ุฅุฐุง ูƒุงู† ู‡ุฐุง 100% ุตุญ ู†ุนู… ูุงู†ุช
2764
+
2765
+ 692
2766
+ 01:00:32,200 --> 01:00:35,560
2767
+ ู‡ู†ุง ุจุชู‚ูŠุณ pressure ุงู„ pressure ุจูŠุณุงูˆูŠ force ุนู„ู‰
2768
+
2769
+ 693
2770
+ 01:00:35,560 --> 01:00:40,240
2771
+ area ุงู† ุนุฑูุชูƒ ุงู„ูˆุฒู† ุจุชุนุฑู ุงู„ pressure ุงู„ู…ูุฑูˆุถ ุงู„
2772
+
2773
+ 694
2774
+ 01:00:40,240 --> 01:00:44,320
2775
+ pressure ู‡ู†ุง ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ูุชุนู…ู„ู‡ calibrationู‡ูŠ ู‡ูˆ
2776
+
2777
+ 695
2778
+ 01:00:44,320 --> 01:00:48,560
2779
+ ู‡ุชูƒูˆู† ุงู„ connection standard ุงู„ thread ู„ู‡ standard
2780
+
2781
+ 696
2782
+ 01:00:48,560 --> 01:00:55,880
2783
+ ู„ุงู† ุงู†ุง ู‡ุฑูƒุจ gauge ููŠู‡
2784
+
2785
+ 697
2786
+ 01:00:55,880 --> 01:01:02,640
2787
+ ู„ู‡ standard connection ููŠ
2788
+
2789
+ 698
2790
+ 01:01:02,640 --> 01:01:07,340
2791
+ ุญุฏ ุงู„ุณุคุงู„ ุชุงู†ู‰ ููŠ ุญุณุงุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุฑู†ุฌ ู…ุด ุนุงุฑูู‡ุงุด ู†ุนู…
2792
+
2793
+ 699
2794
+ 01:01:07,340 --> 01:01:12,040
2795
+ ุฏู‡ ุฑู†ุฌูŠุฉ ูƒู…ุงู† ููŠ ุญุณุงุจุงุช ุงุนู…ู„ ุจุฏูƒ ุงูŠู‡ ุฏู‡ ู…ุด ูŠุนู†ูŠ
2796
+
2797
+ 700
2798
+ 01:01:12,040 --> 01:01:12,920
2799
+ ู…ู‚ู„ูˆุจ ู…ู† ุฏู‡ ูู‚ุท
2800
+
2801
+ 701
2802
+ 01:01:15,810 --> 01:01:22,430
2803
+ ุฅุฐุง ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ูˆุง ุฎูŠุงุฑ bonus ุจุณ
2804
+
2805
+ 702
2806
+ 01:01:22,430 --> 01:01:26,770
2807
+ ุจุฏูŠ ุฃุนุทูŠูƒูˆุง ุฅูŠุด ู…ุนู†ู‰ ูƒู„ู…ุฉ bonus bonus ุฃู†ุง ุจู‚ูŠู…ุด
2808
+
2809
+ 703
2810
+ 01:01:26,770 --> 01:01:30,950
2811
+ ุนู„ู‰ ุงู„ุฌู‡ุฏ ุงู„ู…ุจุฏูˆู„ ุจู‚ูŠู…
2812
+
2813
+ 704
2814
+ 01:01:30,950 --> 01:01:35,790
2815
+ ุนู† ู†ุชุงุฆุฌ ูŠุนู†ูŠ ู…ุง ุชู‚ูˆู„ูŠุด ูˆุงู„ู„ู‡ ุฃู†ุง ุนู…ู„ุช bonus ูˆุชุนุจุช
2816
+
2817
+ 705
2818
+ 01:01:35,790 --> 01:01:41,690
2819
+ ูˆุงู†ู‡ู„ูƒุช ูˆู‚ุนุฏุช ุดู‡ุฑ ุฃู†ุง ุจุงู‡ู… ุฏูŠ ุงู„ู†ุชูŠุฌุฉ ุชุจุตุฑูŠุด ุฃู†ุช
2820
+
2821
+ 706
2822
+ 01:01:41,690 --> 01:01:46,950
2823
+ ุจู†ุทู„ูˆู† ุจุฏูˆู† ุณุญุงุจุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ู…ุชุญูƒูŠุด ูˆุงู„ู„ู‡
2824
+
2825
+ 707
2826
+ 01:01:46,950 --> 01:01:51,390
2827
+ ู…ุณูƒูŠู† ุงู„ุฎูŠุงุท ุชุนุจ ุนู„ูŠู‡ ูˆุฎุณุงุฑุฉ ุจุฏู‡ ุงุดุชุฑูŠ ู…ู†ู‡ุŒ ู„ุฃ
2828
+
2829
+ 708
2830
+ 01:01:51,390 --> 01:01:56,510
2831
+ ุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ุจุชุดุชุฑูŠ ุบุณุงู„ุฉุŒ ุบุณุงู„ุฉ ููŠู‡ุง ุบุณูŠู„
2832
+
2833
+ 709
2834
+ 01:01:56,510 --> 01:02:01,630
2835
+ ูˆููŠู‡ุง .. ูˆููŠู‡ุง ุชู†ุดูŠู ูˆู…ุชุญูƒูŠ ุจุฏูŠุด ุงู†ุง ุจุฏูŠ ุงุดุชุฑูŠ
2836
+
2837
+ 710
2838
+ 01:02:01,630 --> 01:02:05,030
2839
+ ุบุณุงู„ุฉ ุจุฏูŠ .. ูŠุนู†ูŠ ู…ุด ู…ุดูƒู„ุฉ ู„ูˆ ู…ุด ููŠู‡ุง ุชู†ุดูŠูุŒ ุญุฑุงู…
2840
+
2841
+ 711
2842
+ 01:02:05,030 --> 01:02:10,270
2843
+ ุงู„ุดุฑูƒุฉ ุชุนุจุช ูˆุฎุณุงุฑุฉ ุนู„ู‰ ุดุบู„ู‡ู… ูˆ ุชุฏูุนู„ู‡ู… ูู„ูˆุณ ููŠู‡ุงุŒ
2844
+
2845
+ 712
2846
+ 01:02:10,270 --> 01:02:14,600
2847
+ ูˆุถุญูƒุชุŸุนุดุงู† ูƒุชูŠุฑ ู„ุฅู† ุงู„ู†ุงุณ ุจูŠูู‡ู…ูˆุง ู„ู„ bonus ุฅู†ู‡ ุฃู†ุง
2848
+
2849
+ 713
2850
+ 01:02:14,600 --> 01:02:18,520
2851
+ ุจุจุฐู„ ุฌู‡ูˆุฏ ูˆ ุจุชุนุจ ูุจุงุฎุฏ bonus ู„ุฃ ุงู„ bonus ุฏุฑุฌุฉ ุนู„ู‰
2852
+
2853
+ 714
2854
+ 01:02:18,520 --> 01:02:23,600
2855
+ ุณูุฑ ุฃูˆ ูˆุงุญุฏ ู…ุงููŠุด ููŠ ุงู„ู…ุต ูŠุนู†ูŠ ุฅู…ุง ุจุชุงุฎุฏ ุฏุฑุฌุงุช ุฃูˆ
2856
+
2857
+ 715
2858
+ 01:02:23,600 --> 01:02:36,880
2859
+ ุจุชุงุฎุฏุด ู†ุนู… ูŠุฏุด ููŠ ุงู„ุฏุงู‚ุฉ ู†ุนู… ุงุชุญุงู„ ู†ุตููŠ ุจุณ ุฃู†ุง
2860
+
2861
+ 716
2862
+ 01:02:36,880 --> 01:02:37,560
2863
+ ุจุดุชุบู„ ุฅูŠู‡ ุฃุด
2864
+
2865
+ 717
2866
+ 01:02:40,600 --> 01:02:50,160
2867
+ ูŠุนู†ูŠ ู†ุชูŠุฌุฉ ุญูƒู… ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ result oriented
2868
+
2869
+ 718
2870
+ 01:02:50,160 --> 01:02:58,460
2871
+ ุจู‚ูŠุณุด
2872
+
2873
+ 719
2874
+ 01:02:58,460 --> 01:03:01,720
2875
+ ุชุนุฑูุŒ ู…ุด ู‡ุฑูƒุจ ุนู„ูŠูƒ string gauge ูˆ ู‡ุดูˆู ุงู„ุชุบูŠุฑ ููŠ
2876
+
2877
+ 720
2878
+ 01:03:01,720 --> 01:03:02,900
2879
+ ุงู„ู…ู‚ุงู… ูˆ ู…ุด ุนุงุฑูุด
2880
+
2881
+ 721
2882
+ 01:03:09,120 --> 01:03:12,080
2883
+ ู…ุงุดูŠ .. ูŠุนู†ูŠ ู…ุทู„ูˆุจ ู…ู†ู†ุง ู†ู‚ุณู… ุนู„ู‰ ุงู„ุฌู‡ุงุฒ .. ุงูŠู‡
2884
+
2885
+ 722
2886
+ 01:03:12,080 --> 01:03:14,160
2887
+ ุงู„ู„ูŠ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงู‡ .. ุงูŠู‡
2888
+
2889
+ 723
2890
+ 01:03:14,160 --> 01:03:17,040
2891
+ ุงู„ู„ูŠ ุจุฏู‡ bonus .. ุงุฎุฏุด ูƒุงู…ู„ู‡ ูŠุง ุนุฒูŠุฒูŠ .. ุงู‡ .. ุงูŠู‡
2892
+
2893
+ 724
2894
+ 01:03:17,040 --> 01:03:21,580
2895
+ ุงู„ู„ูŠ ุจุฏู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ bonus ูŠุง ุนุฒูŠุฒูŠ .. ู…ุด ุจุฏูƒ
2896
+
2897
+ 725
2898
+ 01:03:21,580 --> 01:03:24,500
2899
+ ููŠู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู…ุด ุจุฏูƒ ..
2900
+
2901
+ 726
2902
+ 01:03:24,500 --> 01:03:27,320
2903
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2904
+
2905
+ 727
2906
+ 01:03:27,320 --> 01:03:29,220
2907
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2908
+
2909
+ 728
2910
+ 01:03:29,220 --> 01:03:30,940
2911
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2912
+
2913
+ 729
2914
+ 01:03:30,940 --> 01:03:31,080
2915
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2916
+
2917
+ 730
2918
+ 01:03:31,080 --> 01:03:31,080
2919
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2920
+
2921
+ 731
2922
+ 01:03:31,080 --> 01:03:31,140
2923
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏ
2924
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/O89pqJ9CMJs.srt ADDED
@@ -0,0 +1,2030 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,470 --> 00:00:08,230
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,230 --> 00:00:12,470
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ Chapter ุฌุฏูŠุฏ ููŠ ู…ุงุฏุฉ ุงู„ู‚ูŠุงุณุงุช
8
+
9
+ 3
10
+ 00:00:12,470 --> 00:00:17,470
11
+ ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ู†ุงุชุฌุฉ ุนู† ุงู„ุชุฌุงุฑุจ
12
+
13
+ 4
14
+ 00:00:17,470 --> 00:00:25,310
15
+ assessing and presenting experimental data ู‡ู†ุนู…ู„
16
+
17
+ 5
18
+ 00:00:25,310 --> 00:00:29,810
19
+ ูŠุนู†ูŠ ุจุนุถ ุงู„ู†ู‚ุงุท ุงู„ุฃุณุงุณูŠุฉ ุนุดุงู† ู†ู…ุดูŠ ุดูˆูŠ ุดูˆูŠ ููŠ ุงู„
20
+
21
+ 6
22
+ 00:00:29,810 --> 00:00:30,170
23
+ Chapter
24
+
25
+ 7
26
+ 00:00:33,330 --> 00:00:38,050
27
+ ูŠุนู†ูŠ ุฃูˆู„ ู†ู‚ุทุฉ: ุฃูŠ ุจูŠุงู†ุงุช ู†ุญุตู„ ุนู„ูŠู‡ุง ู…ู† ุฃูŠ ุชุฌุฑุจุฉ ู‚ุจู„
28
+
29
+ 8
30
+ 00:00:38,050 --> 00:00:44,210
31
+ ู…ุง ู†ุจุฏุฃ ู†ุณุชุฎุฏู…ู‡ุง ูˆู†ุณุชููŠุฏ ู…ู†ู‡ุง ู„ุงุฒู… ู†ูุญุต ุฌูˆุฏุชู‡ุง
32
+
33
+ 9
34
+ 00:00:44,210 --> 00:00:49,670
35
+ ู†ุชุฃูƒุฏ ุฃู† ุงู„ุจูŠุงู†ุงุช ูุนู„ุงู‹ ุฌูŠุฏุฉ ู…ุฃุฎูˆุฐุฉ ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ
36
+
37
+ 10
38
+ 00:00:49,670 --> 00:00:55,970
39
+ ูˆุฌู…ุนุช ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ุจุดูƒู„ ุนุงู… ุฃู†ุง ุจุงุฎุฏ ู‚ูŠุงุณุงุช ู„ุฃู†ู‡
40
+
41
+ 11
42
+ 00:00:55,970 --> 00:01:00,270
43
+ ุจุฏูŠ ุดูŠุก ุญู‚ูŠู‚ูŠ ุนุดุงู† ุฅู†ูƒ ู…ุด ู„ุงุฒู… ุชู‚ุงุฑู† ุงู„ูƒู…ูŠุงุช
44
+
45
+ 12
46
+ 00:01:00,270 --> 00:01:06,850
47
+ ุงู„ู…ู‚ุงุณุฉ ู…ุน ุงู„ุญุณุงุจุงุช ุงู„ู†ุธุฑูŠุฉ. ุงู„ุฎุทุฃ ููŠ
48
+
49
+ 13
50
+ 00:01:06,850 --> 00:01:13,490
51
+ ุงู„ู‚ูŠุงุณ ุจูŠุณุงูˆูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ ู†ุงู‚ุต ุงู„ูƒู…ูŠุฉ
52
+
53
+ 14
54
+ 00:01:13,490 --> 00:01:18,950
55
+ ุงู„ุญู‚ูŠู‚ูŠุฉ. ุทูŠุจ
56
+
57
+ 15
58
+ 00:01:25,210 --> 00:01:29,230
59
+ error cannot be calculated exactly unless we know the
60
+
61
+ 16
62
+ 00:01:29,230 --> 00:01:33,610
63
+ true value of the quantity being measured. ุงู„ุฎุทุฃ ู„ุง
64
+
65
+ 17
66
+ 00:01:33,610 --> 00:01:39,210
67
+ ูŠู…ูƒู† ุญุณุงุจู‡ ุจุดูƒู„ ุฏู‚ูŠู‚ ุฅู„ุง ุฅุฐุง ูƒู†ุง ุนุฑูู†ุง ุงู„ู‚ูŠู…ุฉ
68
+
69
+ 18
70
+ 00:01:39,210 --> 00:01:42,090
71
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ูƒู…ูŠุฉ ุงู„ุชูŠ ุชู… ู‚ูŠุงุณู‡ุง.
72
+
73
+ 19
74
+ 00:01:44,940 --> 00:01:49,040
75
+ ูˆุนุดุงู† ู†ุนุฑู ุงู„ูƒู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ุดูŠุก ุงู„ุฐูŠ ุชู… ู‚ูŠุงุณู‡
76
+
77
+ 20
78
+ 00:01:49,040 --> 00:01:57,120
79
+ ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ู†ู‚ูŠุณู‡. ูƒู„ ุนู…ู„ูŠุฉ
80
+
81
+ 21
82
+ 00:01:57,120 --> 00:02:05,060
83
+ ู‚ูŠุงุณ ููŠู‡ุง ู†ุณุจุฉ ุฎุทุฃุŒ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฅุญู†ุง
84
+
85
+ 22
86
+ 00:02:05,060 --> 00:02:09,350
87
+ ู…ุด ู‡ู†ุนุฑูู‡ุง ู…ุฆุฉ ุจุงู„ู…ุฆุฉุŒ ู…ุด ู‡ู†ูƒูˆู† ุนุงุฑููŠู† ุงู„ู‚ูŠู…ุฉ
88
+
89
+ 23
90
+ 00:02:09,350 --> 00:02:14,610
91
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ุดูŠุก ุงู„ุฐูŠ ู‚ููŠุณ. ุจุณ ุฃู†ุง ู‚ุณุช ุทูˆู„ ู‚ุทุนุฉ
92
+
93
+ 24
94
+ 00:02:14,610 --> 00:02:20,270
95
+ ู…ุนูŠู†ุฉ ุทูˆู„ู‡ุง ุทูˆู„ ู…ุนูŠู†. ุงู„ุฎุทุฃ ุฅุญู†ุง ู†ุนูƒุณู‡ุŒ ูŠุนู†ูŠ ุงู„ูุฑู‚
96
+
97
+ 25
98
+ 00:02:20,270 --> 00:02:23,930
99
+ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ ูˆุงู„ูƒู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ. ุงู„ูƒู…ูŠุฉ
100
+
101
+ 26
102
+ 00:02:23,930 --> 00:02:27,570
103
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฃู†ุง ู…ุด ุนุงุฑูู‡ุงุŒ ู„ุฃู† ุงู„ูƒู…ูŠุฉ
104
+
105
+ 27
106
+ 00:02:27,570 --> 00:02:30,350
107
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุจู†ูŠุช ุฃุณุงุณุงู‹ ุนู„ู‰ standardุŒ ูˆุงู„ู€ standard
108
+
109
+ 28
110
+ 00:02:30,350 --> 00:02:33,870
111
+ ุจุฑุถู‡ ููŠู‡ ู†ุณุจุฉ ุฎุทุฃุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ุฆุฉ ุจุงู„ู…ุฆุฉ ุฃู†ุง ู…ุง ูƒู†ุด
112
+
113
+ 29
114
+ 00:02:33,870 --> 00:02:38,530
115
+ ุนุงุฑู ุงู„ูƒู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ู†ุนุฑู.. ู…ุด ู‡ู†ู‚ุฏุฑ
116
+
117
+ 30
118
+ 00:02:38,530 --> 00:02:46,610
119
+ ู†ุนุฑู ุงู„ุฎุทุฃ ู…ุฆุฉ ุจุงู„ู…ุฆุฉุŒ ู„ูƒู† ู†ุณุจุฉ ุงู„ุฎุทุฃ ู…ู…ูƒู† ูŠุชู…
120
+
121
+ 31
122
+ 00:02:46,610 --> 00:02:51,330
123
+ ุชู‚ุฏูŠุฑู‡ุง.. ูŠู…ูƒู† ุชู‚ุฏูŠุฑู‡ุง ุจุงุณุชุฎุฏุงู… ุงู„ูˆุณุงุฆู„
124
+
125
+ 32
126
+ 00:02:51,330 --> 00:02:55,870
127
+ ุงู„ุฅุญุตุงุฆูŠุฉ ุฅุฐุง ุชูˆูู‘ุฑ ุนู†ุฏูŠ ูƒู… ูƒุงูู ู…ู† ุงู„ุจูŠุงู†ุงุชุŒ ูŠุนู†ูŠ
128
+
129
+ 33
130
+ 00:02:55,870 --> 00:03:00,670
131
+ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ู„ุฃู† ููŠ ุชู‚ุฏูŠุฑ ูˆุญุณุงุจ ู…ุฆุฉ ุจุงู„ู…ุฆุฉ
132
+
133
+ 34
134
+ 00:03:00,670 --> 00:03:06,020
135
+ ู…ุฎุชู„ูุฉ ุนู† ุจุนุถ. ูŠุชู… ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ุจุงุณุชุฎุฏุงู… ุงู„ุฃุฏูˆุงุช
136
+
137
+ 35
138
+ 00:03:06,020 --> 00:03:14,000
139
+ ุงู„ุฅุญุตุงุฆูŠุฉ ู…ุน ุชูˆูุฑ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุจูŠุงู†ุงุช. ุงู„ู€
140
+
141
+ 36
142
+ 00:03:14,000 --> 00:03:17,920
143
+ experimentalistุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ
144
+
145
+ 37
146
+ 00:03:17,920 --> 00:03:24,200
147
+ ู„ุงุฒู… ูŠุญุท ููŠ ุจุงู„ู‡ ุนุดุงู†
148
+
149
+ 38
150
+ 00:03:24,200 --> 00:03:30,310
151
+ ูŠุนุฑู ุงู„ุฃุฎุทุงุก ุงู„ู…ุญุชู…ู„ุฉ ูˆู‚ูŠู…ู‡ุง. ู„ุงุฒู… ูŠุญุท ููŠ ุจุงู„ู‡.. ุฃูˆ
152
+
153
+ 39
154
+ 00:03:30,310 --> 00:03:34,810
155
+ ู„ุงุฒู… ูŠูƒูˆู†.. ูŠุนู†ูŠ ูŠูƒูˆู† ุนู†ุฏู‡ ู…ุนุฑูุฉ ูƒุงููŠุฉ ูƒูŠู ุงู„ุฌู‡ุงุฒ
156
+
157
+ 40
158
+ 00:03:34,810 --> 00:03:37,950
159
+ ุจูŠุดุชุบู„ุŒ ูƒูŠู ุงู„ุฌู‡ุงุฒ ุจูŠุดุชุบู„ุŒ ูŠูู‡ู….. ูุงู‡ู… ุงู„ุฌู‡ุงุฒ
160
+
161
+ 41
162
+ 00:03:37,950 --> 00:03:43,770
163
+ ูƒูŠู ุจูŠุดุชุบู„ ูˆูƒูŠู ุชู… ู…ุนุงูŠุฑุชู‡. ุฅุฐุง ูู‡ู… ูƒูŠู ุงู„ุฌู‡ุงุฒ
164
+
165
+ 42
166
+ 00:03:43,770 --> 00:03:48,750
167
+ ุจูŠุดุชุบู„ ูˆูƒูŠู ุชู… ู…ุนุงูŠุฑุชู‡ ู…ู…ูƒู† ุฃู†ุง ุฃูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰
168
+
169
+ 43
170
+ 00:03:48,750 --> 00:03:53,590
171
+ ูŠุนู†ูŠ ุฃุนุฑู ุฃุญุฏุฏ ุงู„ุฃุฎุทุงุก ุงู„ู…ุญุชู…ู„ุฉ ูˆู‚ูŠู…ู‡ุง.
172
+
173
+ 44
174
+ 00:03:58,090 --> 00:04:01,110
175
+ ุงู„ู€ error in measuring a quantity X. ุงู„ุฎุทุฃ ููŠ ู‚ูŠุงุณ
176
+
177
+ 45
178
+ 00:04:01,110 --> 00:04:06,970
179
+ ูƒู…ูŠุฉ X ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ู๏ฟฝ๏ฟฝู‚ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ
180
+
181
+ 46
182
+ 00:04:06,970 --> 00:04:10,050
183
+ (measured value) ูˆุงู„ู€ (true value). ูŠุนู†ูŠ ุงู„ู€ error ุจูŠุณุงูˆูŠ
184
+
185
+ 47
186
+ 00:04:10,050 --> 00:04:16,150
187
+ ฮตX = measured โ€“ true. ู‡ุฏู ุฑุฆูŠุณูŠ ููŠ ุชุตู…ูŠู…
188
+
189
+ 48
190
+ 00:04:16,150 --> 00:04:24,250
191
+ ูˆุชู†ููŠุฐ ุงู„ุชุฌุงุฑุจ ุฃู† ู†ู‚ู„ู„ ุฅูŠุดุŸ ุงู„ุฎุทุฃ ุฃูˆ ุงู„ู€ error. ุงู„ุขู†
192
+
193
+ 49
194
+ 00:04:24,250 --> 00:04:29,890
195
+ ุจุนุฏ ุงู†ุชู‡ุงุก ุงู„ุชุฌุฑุจุฉ we must estimate a bound in
196
+
197
+ 50
198
+ 00:04:29,890 --> 00:04:34,410
199
+ error with some level of confidence. ูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู†
200
+
201
+ 51
202
+ 00:04:34,410 --> 00:04:39,530
203
+ ุฃู†ุง ุนู†ุฏูŠ ุจุฏูŠ ุฃุนู…ู„ ุชู‚ุฏูŠุฑ ู„ู„ู€ error ุจุญูŠุซ ุฃู†ุง ุจุญูƒูŠ
204
+
205
+ 52
206
+ 00:04:39,530 --> 00:04:44,230
207
+ ูˆุงู„ู„ู‡ ุงู„ู€ error ุจุฏูŠ ูŠูƒูˆู† ู…ุญุตูˆุฑ ุจูŠู† ู‚ูŠู…ุฉ ูˆู‚ูŠู…ุฉุŒ ุนู„ูŠู‡
208
+
209
+ 53
210
+ 00:04:44,230 --> 00:04:50,830
211
+ ูˆู‚ูŠู…ุฉ ุฏู†ูŠุง. ูŠุนู†ูŠ ู…ุซู„ุงู‹ ู‡ุงูŠ ุงู„ู€ mean valueุŒ ู‡ุงูŠ ุงู„ู€ mean
212
+
213
+ 54
214
+ 00:04:50,830 --> 00:04:56,790
215
+ value. ู‡ุง
216
+
217
+ 55
218
+ 00:04:56,790 --> 00:05:02,870
219
+ ุนู†ุฏูŠ upper boundุŒ ู‚ูŠู…ุฉ
220
+
221
+ 56
222
+ 00:05:02,870 --> 00:05:10,290
223
+ ุนุงู„ูŠุฉุŒ ูˆ lower boundุŒ
224
+
225
+ 57
226
+ 00:05:10,290 --> 00:05:18,730
227
+ ู‚ูŠู…ุฉ ุตูุฑ. ูŠุนู†ูŠ ู…ุด ู„ุงุฒู….. ู…ุด ู„ุงุฒู… ุชุทู„ุน ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ
228
+
229
+ 58
230
+ 00:05:18,730 --> 00:05:23,590
231
+ ุนู† ุงู„ู€ range ู‡ุฐุง. ู…ุด ู„ุงุฒู… ุชุทู„ุน ุนู† ุงู„ู€ range ู‡ุฐุง. ู„ูˆ
232
+
233
+ 59
234
+ 00:05:23,590 --> 00:05:27,610
235
+ ุญูƒูŠุช ุงู„ุจุนุฏ ูŠุนู†ูŠ +U
236
+
237
+ 60
238
+ 00:05:30,480 --> 00:05:36,800
239
+ ู‡ู†ุง -U. ูˆุฅุญู†ุง ู†ุญูƒูŠ ู‡ุฐุง ุงู„ู€ mean valueุŒ ู†ุญูƒูŠ ู‡ุฐุง
240
+
241
+ 61
242
+ 00:05:36,800 --> 00:05:41,820
243
+ ุฃูˆ ู†ุญูƒูŠ ู‡ุฐุง ุงู„ู€ error. ุฃุฎุฏุช ู‚ุฑุงุกุฉ ูˆุทู„ุน ู‚ูŠู…ุชู‡ุง
244
+
245
+ 62
246
+ 00:05:41,820 --> 00:05:50,480
247
+ ู‡ุฐู‡ XmeasuredุŒ ู‡ุฐู‡ XtrueุŒ ู‡ุฐุง ู‡ูŠูƒูˆู† ุงู„ู€ error. ุงู„ู€
248
+
249
+ 63
250
+ 00:05:50,480 --> 00:06:00,840
251
+ error ู‡ูŠูƒูˆู† XM โ€“ Xtrue. ุงู„ู€ error ู…ุด ู„ุงุฒู… ูŠูƒูˆู†
252
+
253
+ 64
254
+ 00:06:00,840 --> 00:06:09,180
255
+ ุฃูƒุจุฑุŒ ู„ุงุฒู… ูŠูƒูˆู† ุฃุตุบุฑ ุฃูˆ ูŠุณุงูˆูŠ ุงู„ู€ upper boundุŒ ูˆุฃูƒุจุฑ
256
+
257
+ 65
258
+ 00:06:09,180 --> 00:06:14,120
259
+ ุฃูˆ ูŠุณุงูˆูŠ ุงู„ู€ -U. ูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู† ู…ุญุตูˆุฑ ููŠ ุงู„ู…ู†ุทู‚ุฉ
260
+
261
+ 66
262
+ 00:06:14,120 --> 00:06:17,520
263
+ ู‡ุฐู‡. ู†ุณุจุฉ ุงู„ุฎุทุฃ
264
+
265
+ 67
266
+ 00:06:27,700 --> 00:06:31,280
267
+ ุงู„ู€ error ุฅุญู†ุง ุญูƒูŠู†ุงู‡ ุจูŠุณุงูˆูŠ.. ูŠุนู†ูŠ ู„ูˆ ุนูˆุถู†ุง ู‡ู†ุงุŒ ู†ุญุณุจ
268
+
269
+ 68
270
+ 00:06:31,280 --> 00:06:38,860
271
+ ุฅู† ุฃู†ุง ุนูˆุถุช ุนู† E ุจู€ XM โ€“ XtrueุŒ ู‡ุชูƒูˆู† ุฃูƒุจุฑ ุฃูˆ
272
+
273
+ 69
274
+ 00:06:38,860 --> 00:06:45,740
275
+ ูŠุณุงูˆูŠ UุŒ ุฃูˆ ุฃูƒุจุฑ ุฃูˆ ูŠุณุงูˆูŠ -U.
276
+
277
+ 70
278
+ 00:06:56,560 --> 00:07:04,900
279
+ ู„ูˆ ุถูุช ุนู„ู‰ ุงู„ุซู„ุงุซ ุฃุทุฑุงู -XMุŒ ูŠุนู†ูŠ ู‡ู†ุง ู‡ุญูƒูŠ
280
+
281
+ 71
282
+ 00:07:04,900 --> 00:07:19,840
283
+ -XM โ€“ UุŒ ุฃูƒุจุฑ
284
+
285
+ 72
286
+ 00:07:19,840 --> 00:07:22,580
287
+ ุฃูˆ ูŠุณุงูˆูŠ -XtrueุŒ
288
+
289
+ 73
290
+ 00:07:26,360 --> 00:07:40,180
291
+ ุฃู‚ู„ ุฃูˆ ูŠุณุงูˆูŠ U โ€“ XM. ุฃุถุฑุจ
292
+
293
+ 74
294
+ 00:07:40,180 --> 00:07:44,360
295
+ ููŠ ุงู„ุณุงู„ุจุŒ ูƒู„ู‡ู… ู‡ุชู†ุนูƒุณุŒ ุงู„ุดุงุฑุงุช ู‡ุชู†ุนูƒุณ. ุงู„ุณุคุงู„: ุฃู†ุง
296
+
297
+ 75
298
+ 00:07:44,360 --> 00:07:50,720
299
+ ุญุงุณุณ ุฅู† ุนู†ุฏูŠ Xtrue ู‡ุฐุง
300
+
301
+ 76
302
+ 00:07:50,720 --> 00:07:54,320
303
+ ู‡ูŠูƒูˆู† ุฃุตุบุฑ ุฃูˆ ูŠุณุงูˆูŠ XM
304
+
305
+ 77
306
+ 00:07:55,970 --> 00:08:07,450
307
+ + UุŒ ูˆู‡ุฐุง ู‡ูŠูƒูˆู† ุฃูƒุจุฑ.. ู‡ุฐุง -XM โ€“ U. ู„ูŠู‡
308
+
309
+ 78
310
+ 00:08:07,450 --> 00:08:14,270
311
+ ู‡ุฐู‡ ุงู„ุนู„ุงู‚ุฉุŸ ูุงู„ู€ true value ู‡ุชูƒูˆู† ุจูŠู† XM โ€“ U
312
+
313
+ 79
314
+ 00:08:14,270 --> 00:08:19,190
315
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ uncertaintyุŒ ูˆXM + U.
316
+
317
+ 80
318
+ 00:08:22,540 --> 00:08:25,820
319
+ ุงู„ู€ U ู‡ูŠ ุงู„ู€ uncertainty. estimate at odds of n to
320
+
321
+ 81
322
+ 00:08:25,820 --> 00:08:29,820
323
+ one. ุฅูŠุด ู…ุนู†ุงู‡ at odds of n to oneุŸ ูŠุนู†ูŠ ุญูŠูƒูˆู†
324
+
325
+ 82
326
+ 00:08:29,820 --> 00:08:33,800
327
+ ุนู†ุฏูŠ only one measurement in any measurement. ุนู†ุฏูŠ
328
+
329
+ 83
330
+ 00:08:33,800 --> 00:08:37,600
331
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ู† ุนุฏุฏ n ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ุจุณู…ู‘ูŠ ู‚ุฑุงุกุฉุŒ
332
+
333
+ 84
334
+ 00:08:37,600 --> 00:08:42,200
335
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ู† ุนุฏุฏ n ู…ู† ุงู„ู‚ุฑุงุกุงุช will have an
336
+
337
+ 85
338
+ 00:08:42,200 --> 00:08:48,240
339
+ error whose magnitude is greater than U. ูˆุงุญุฏ ู…ู†
340
+
341
+ 86
342
+ 00:08:48,240 --> 00:08:52,060
343
+ ูˆุงุญุฏ. ู…ุง ุฃู†ุง ุจุญูƒูŠ ุฅู† ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ููŠ ุนุฏุฏ n ู…ู†
344
+
345
+ 87
346
+ 00:08:52,060 --> 00:08:57,220
347
+ ุงู„ู‚ุฑุงุกุงุชุŒ ู‚ูŠู…ุชู‡ุง ููŠู‡ุง ู‡ุชุชุฌุงูˆุฒ ุงู„ู€ uncertainty.
348
+
349
+ 88
350
+ 00:08:57,220 --> 00:09:03,600
351
+ ูŠุนู†ูŠ ู„ู…ุง ู†ุญูƒูŠ ุนู† ุงู„ู€ confidence ูˆุงุญุฏ ู…ู† ุนุดุฑูŠู†ุŒ ูˆุงุญุฏ
352
+
353
+ 89
354
+ 00:09:05,090 --> 00:09:10,450
355
+ ู…ู† ุนุดุฑูŠู†ุŒ ุฅูŠุด ู…ุนู†ุงู‡ุŸ ุฅู†ู‘ู‡ ู…ู† ูƒู„ ุนุดุฑูŠู† ู‚ุฑุงุกุฉุŒ ู…ู† ูƒู„
356
+
357
+ 90
358
+ 00:09:10,450 --> 00:09:14,930
359
+ ุนุดุฑูŠู† ู‚ุฑุงุกุฉ ู‡ุชูƒูˆู† ู‚ุฑุงุกุฉ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠู‡ุง ุฃุนู„ู‰ ู…ู†
360
+
361
+ 91
362
+ 00:09:14,930 --> 00:09:19,690
363
+ ุงู„ู€ UุŒ ุฃุนู„ู‰ ู…ู† ุงู„ู€ U. ู…ุนู†ุงุชู‡ ุฃู†ุง ุนู†ุฏูŠ confidence ุฎู…ุณุฉ
364
+
365
+ 92
366
+ 00:09:19,690 --> 00:09:24,130
367
+ ูˆุฎู…ุณูŠู† ุจุงู„ู…ุฆุฉุŒ ุฎู…ุณุฉ ูˆุชุณุนูŠู† ุจุงู„ู…ุฆุฉุŒ ูŠุนู†ูŠ ู†ุณุจุฉ
368
+
369
+ 93
370
+ 00:09:24,130 --> 00:09:32,000
371
+ ุงู„ุฎุทุฃ ูˆุงุญุฏ ุนู„ู‰ ุนุดุฑูŠู† ููŠ.. ููŠ ุงู„ู…ุฆุฉุŒ ุนุดุงู† ุฅุญู†ุง ุจู†ู‚ูˆู„ู‡ุง
372
+
373
+ 94
374
+ 00:09:32,000 --> 00:09:36,160
375
+ percentageุŒ ุชุทู„ุน ูŠุง ุฎู…ุณุฉ ุจุงู„ู…ุฆุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ูŠุง ุฅู†ุช
376
+
377
+ 95
378
+ 00:09:36,160 --> 00:09:39,680
379
+ ุชูƒูˆู† ุจุฑู‘ุฉ ุงู„ู€ range. ู…ุนู†ุงู‡ ุงู„ู€ confidence ุฅู† ุชูƒูˆู† ุฌูˆุง
380
+
381
+ 96
382
+ 00:09:39,680 --> 00:09:47,700
383
+ ุงู„ู€ range ู‡ุชูƒูˆู† ู…ุฆุฉ ู†ุงู‚ุต ุฎู…ุณุฉ. ุงู„ู€ confidence ู‡ูŠูƒูˆู†
384
+
385
+ 97
386
+ 00:09:47,700 --> 00:09:49,480
387
+ ุฎู…ุณุฉ ูˆุชุณุนูŠู† ุจุงู„ู…ุฆุฉ.
388
+
389
+ 98
390
+ 00:09:53,690 --> 00:09:58,410
391
+ ุนู†ุฏู†ุง two general classes of error. ุนู†ุฏู†ุง ุจุดูƒู„ ุนุงู… two
392
+
393
+ 99
394
+ 00:09:58,410 --> 00:10:03,110
395
+ classes of error. ุฃูˆู„ ุดูŠุก ุนู†ุฏูŠ biasุŒ ุฃูˆ ู…ุง ูŠุณู…ู‘ู‰
396
+
397
+ 100
398
+ 00:10:03,110 --> 00:10:06,970
399
+ systematic errorsุŒ ูˆ precision ุฃูˆ random errors.
400
+
401
+ 101
402
+ 00:10:06,970 --> 00:10:09,310
403
+ ุจู…ุนู†ู‰ ุฅู† ุฃู†ุง ุนู†ุฏูŠ two classes of error ุงู„ู„ูŠ ู‡ูŠ
404
+
405
+ 102
406
+ 00:10:09,310 --> 00:10:14,650
407
+ biasุŒ systematic errorsุŒ ุฃูˆ precisionุŒ ุฃูˆ precision
408
+
409
+ 103
410
+ 00:10:14,650 --> 00:10:18,250
411
+ ูŠุนู†ูŠ random errors. ู‡ู†ุดูˆู ุดูˆูŠุฉ ุดูˆูŠุฉ ุฅู† ุดุงุก ุงู„ู„ู‡ ุนู„ูŠู‡ู…. ุฃูˆู„ ู†ูˆุน
412
+
413
+ 104
414
+ 00:10:18,250 --> 00:10:23,990
415
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ biasุŒ systematic errors.
416
+
417
+ 105
418
+ 00:10:23,990 --> 00:10:35,670
419
+ biasุŒ
420
+
421
+ 106
422
+ 00:10:35,670 --> 00:10:41,950
423
+ ูŠุนู†ูŠ ุชุญูŠุฒ ุจูŠูƒูˆู† ุนู„ู‰ ุฌู‡ุฉ ู…ุนูŠู‘ู†ุฉ. ุจุงู„ู€ English bias ูŠุนู†ูŠ
424
+
425
+ 107
426
+ 00:10:41,950 --> 00:10:47,450
427
+ ุจูŠูƒูˆู† ููŠ ุชุญูŠุฒ ุนู„ู‰ ุฌู‡ุฉ ู…ุนูŠู‘ู†ุฉ. bias errorุŒ errorsุŒ ุฃุฎุทุงุก
428
+
429
+ 108
430
+ 00:10:47,450 --> 00:10:53,710
431
+ ุงู„ู€ bias ุจุชุดุจู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉุŒ ูƒู„ ู…ุง ุขุฎุฐ ู‚ูŠุงุณุŒ ูŠุนู†ูŠ ุฅุฐุง
432
+
433
+ 109
434
+ 00:10:53,710 --> 00:10:57,470
435
+ ุฃู†ุง ุจุงุฎุฏ ู‚ุฑุงุกุฉ ุฏุงุฆู…ุงู‹ ุจุชูƒูˆู† ู…ุฑุชูุนุฉ ุนู† ุงู„ู€ true value.
436
+
437
+ 110
438
+ 00:10:57,470 --> 00:11:03,010
439
+ ูŠุนู†ูŠ ุฏุงุฆู…ุงู‹ ุจุงุฎุฏ ู…ุซู„ุงู‹ ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉุŒ ุงู„ู…ูุฑูˆุถ ู…ุฆุฉุŒ ุจุณ
440
+
441
+ 111
442
+ 00:11:03,010 --> 00:11:05,950
443
+ ุชุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ุงู„ุฌู‡ุงุฒ ู…ุฆุฉ ูˆุฎู…ุณุŒ ุฏุงุฆู…ุงู‹.. ุฏุงุฆู…ุงู‹ ููŠ ุฎู…ุณ
444
+
445
+ 112
446
+ 00:11:05,950 --> 00:11:10,070
447
+ ุฏุฑุฌุงุช ุฒูŠุงุฏุฉ. ู‡ุฐุง biasุŒ ุงู„ุฎู…ุณ ุฏุฑุฌุงุช ู‡ูŠ ุฅูŠุดุŸ bias.
448
+
449
+ 113
450
+ 00:11:13,110 --> 00:11:16,970
451
+ ุฃูˆ ู…ู…ูƒู† ุชูƒูˆู† ุงู†ุฎูุงุถุงู‹ุŒ ุฃูˆ ุฏุงุฆู…ุงู‹ ูŠูƒูˆู† ููŠ
452
+
453
+ 114
454
+ 00:11:16,970 --> 00:11:21,610
455
+ difference ุนู† ุงู„ู‚ุฑุงุกุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุจุงุชุฌุงู‡ ูˆุงุญุฏ. ู‡ุฐุง ุงู„ู€
456
+
457
+ 115
458
+ 00:11:21,610 --> 00:11:27,190
459
+ bias error. example: if
460
+
461
+ 116
462
+ 00:11:27,190 --> 00:11:30,250
463
+ the scale on an instrument ูƒุงู† ุงู„ู€ scale ุนู„ู‰ ุฌู‡ุงุฒ
464
+
465
+ 117
466
+ 00:11:30,250 --> 00:11:36,610
467
+ ู…ุนูŠู‘ู† ุจุดูƒู„ ู…ุณุชู…ุฑ ุจูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ 5% ุฃุนู„ู‰ุŒ ูˆุจุงู„ุชุงู„ูŠ ูƒู„
468
+
469
+ 118
470
+ 00:11:36,610 --> 00:11:40,030
471
+ ุงู„ู‚ูŠุงุณุงุช ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ุฏุงุฆู…ุงู‹ ู‡ุชุนุทูŠู†ูŠ 5% ุฃุนู„ู‰. ู‡ุฐุง ุงุณู…ู‡
472
+
473
+ 119
474
+ 00:11:40,030 --> 00:11:40,630
475
+ bias error.
476
+
477
+ 120
478
+ 00:11:44,310 --> 00:11:50,450
479
+ The scale may have a fixed positive offsetุŒ ุฃูˆ negative
480
+
481
+ 121
482
+ 00:11:50,450 --> 00:11:53,950
483
+ offset.
484
+
485
+ 122
486
+ 00:11:53,950 --> 00:11:59,770
487
+ The indicated value for every reading of X is
488
+
489
+ 123
490
+ 00:11:59,770 --> 00:12:03,070
491
+ higher than the true value by an amount X offset.
492
+
493
+ 124
494
+ 00:12:03,070 --> 00:12:10,790
495
+ ุฏุงุฆู…ุงู‹ ุงู„ู€ indicated value ู„ูƒู„ ู‚ุฑุงุกุฉ ู‡ุชูƒูˆู† ุฃุนู„ู‰ ุญุณุจ
496
+
497
+ 125
498
+ 00:12:10,790 --> 00:12:19,120
499
+ ุฅุฐุง ูƒุงู†ุช ู…ูˆุฌุจุฉุŒ ุฃูˆ ุฃู‚ู„ ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ู‚ุฑุงุกุฉ
500
+
501
+ 126
502
+ 00:12:19,120 --> 00:12:25,500
503
+ ุงู„ู€
504
+
505
+ 127
506
+ 00:12:25,500 --> 00:12:28,860
507
+ bias errors ู…ุง ุฃู‚ุฏุฑุด ุฃุนุงู„ุฌู‡ุง ุฃูˆ ุฃุชุนุงู…ู„ ู…ุนุงู‡ุง
508
+
509
+ 128
510
+ 00:12:28,860 --> 00:12:35,720
511
+ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉุŒ ุจุจุณุงุทุฉ ู„ุฃู†ู‘ ู‚ูŠู…ุชู‡ุง ุซุงุจุชุฉ
512
+
513
+ 129
514
+ 00:12:36,840 --> 00:12:40,120
515
+ ูˆุจุชุนุทูŠู†ูŠุด ุชูˆุฒูŠุน.. it does not show a
516
+
517
+ 130
518
+ 00:12:40,120 --> 00:12:42,860
519
+ distribution. ุจุชุนุทูŠู†ูŠุด ู…ุซู„ุงู‹ ุชูˆุฒูŠุน ุทุจูŠุนูŠุŒ ู…ุง ุจุชุนุทูŠู†ูŠุด
520
+
521
+ 131
522
+ 00:12:42,860 --> 00:12:46,580
523
+ ุชูˆุฒูŠุน ู„ุฃู†ู‘ ุฃู†ุง fixedุŒ ุจุจุณุงุทุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ุง ุฃู‚ุฏุฑุด ุฃุชุนุงู…ู„
524
+
525
+ 132
526
+ 00:12:46,580 --> 00:12:53,900
527
+ ู…ุนุงู‡ ุฅุญุตุงุฆูŠุงู‹ ุนุดุงู† ุฃู‚ุฏุฑ ู‚ูŠู…ุชู‡ุง. ุงู„ู€ bias error can be
528
+
529
+ 133
530
+ 00:12:53,900 --> 00:12:56,880
531
+ estimated by... ุงู„ู€ bias error ู…ู…ูƒู† ูŠุชู… ุชู‚ุฏูŠุฑู‡ ู…ู†
532
+
533
+ 134
534
+ 00:12:56,880 --> 00:13:01,740
535
+ ุฎู„ุงู„ comparison of the instrument to a more
536
+
537
+ 135
538
+ 00:13:01,740 --> 00:13:05,680
539
+ accurate standard. ูŠุนู†ูŠ ุจู‚ุงุฑู† ู‚ุฑุงุกุฉ ุงู„ุฌู‡ุงุฒ ู…ุน ุฌู‡ุงุฒ
540
+
541
+ 136
542
+ 00:13:05,680 --> 00:13:10,660
543
+ ุฃูƒุซุฑ ุฏู‚ู‘ุฉ ุฃูˆ ู…ุนูŠุงุฑ ุฃูƒุซุฑ ุฏู‚ู‘ุฉุŒ ูˆู…ู† ุฎู„ุงู„ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุนุฑู
544
+
545
+ 137
546
+ 00:13:10,660 --> 00:13:15,100
547
+ ู‚ูŠู…ุฉ ุงู„ุงุฎุชู„ุงู ุฃูˆ ุงู„ู€ bias. ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ ุฌู‡ุงุฒ ุฃูƒุซุฑ
548
+
549
+ 138
550
+ 00:13:15,100 --> 00:13:19,040
551
+ ุฏู‚ู‘ุฉุŒ ู…ุซู„ุงู‹ ุฃู†ุง ุจ.. ุจุฌูŠุจ ุฌู‡ุงุฒ ุฏู‚ูŠู‚ ู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ
552
+
553
+ 139
554
+ 00:13:19,040 --> 00:13:26,540
555
+ ุนู†ุฏูŠ ุฌู‡ุงุฒ ุฏู‚ู‘ุชู‡ ู…ู†ุฎูุถุฉุŒ ู‡ุฐุง ู†ุญูƒูŠ ุฌู‡ุงุฒ ุฑู‚ู… ูˆุงุญุฏุŒ
556
+
557
+ 140
558
+ 00:13:26,540 --> 00:13:35,620
559
+ ูˆุฌู‡ุงุฒ ุฑู‚ู… ุงุซู†ูŠู†ุŒ ู‡ุฐุง ุงู„ู€ standardุŒ ุญุฑุงุฑุฉ
560
+
561
+ 141
562
+ 00:13:35,620 --> 00:13:43,060
563
+ ู…ุซู„ุงู‹ุŒ ุฃุญูƒูŠ ุฌู‡ุงุฒ ุญุฑุงุฑุฉุŒ ุจุงุฎุฏ ู…ุซู„ุงู‹ ๏ฟฝ๏ฟฝูˆ
564
+
565
+ 142
566
+ 00:13:43,060 --> 00:13:52,280
567
+ ูƒุงู†ุช ู‡ู†ุง ุงู„ู‚ุฑุงุกุฉ ุนุดุฑุฉุŒ ุฃุนุทุงู†ุง ู‡ุฐุง ุงู„ุฌู‡ุงุฒ ุซู…ุงู†ูŠุฉุŒ ุนู…ู„ุช
568
+
569
+ 143
570
+ 00:13:52,280 --> 00:13:52,820
571
+ ุนุดุฑูŠู†ุŒ
572
+
573
+ 144
574
+ 00:13:55,400 --> 00:14:06,220
575
+ ุซู„ุงุซูŠู†ุŒ ุซู…ุงู†ูŠุฉ ูˆุนุดุฑูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุซู…ุงู†ูŠุฉ ูˆ
576
+
577
+ 145
578
+ 00:14:06,220 --> 00:14:12,080
579
+ ุซู„ุงุซูŠู†ุŒ ู…ุซู„ุงู‹ ู…ุฆุฉุŒ ุซู…ุงู†ูŠุฉ
580
+
581
+ 146
582
+ 00:14:12,080 --> 00:14:18,720
583
+ ูˆุชุณุนูŠู†. ูˆุงุถุญ ุฅู† ููŠ bias ู…ูˆุฌุจ ุฏุฑุฌุชูŠู†. ูุฃู†ุง ู‚ู„ุช ุงู„ู€
584
+
585
+ 147
586
+ 00:14:18,720 --> 00:14:24,110
587
+ bias error ูˆุงุถุญ ุฅู† ุนู†ุฏูŠ ุฏุงุฆู…ุงู‹ ููŠ ูุฑู‚ ุฏุฑุฌุชูŠู†. ูุงู„ู€
588
+
589
+ 148
590
+ 00:14:24,110 --> 00:14:30,390
591
+ bias ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ bias error ุจูŠุณุงูˆูŠ ุงุซู†ูŠู†
592
+
593
+ 149
594
+ 00:14:30,390 --> 00:14:34,290
595
+ degreesุŒ ู„ุฃู† ู‡ุฐุง ุฌู‡ุงุฒ.. ุฌู‡ุงุฒ standard ู…ุนูŠุงุฑูŠ ูˆุฏู‚ู‘ุชู‡
596
+
597
+ 150
598
+ 00:14:34,290 --> 00:14:38,790
599
+ ุนุงู„ูŠุฉ ุฌุฏุงู‹. bias
600
+
601
+ 151
602
+ 00:14:38,790 --> 00:14:42,130
603
+ errors can be estimated by.. ุฅุญู†ุง ูƒู†ุง ู…ู† ุฎู„ุงู„
604
+
605
+ 152
606
+ 00:14:42,130 --> 00:14:46,470
607
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุฌู‡ุงุฒู†ุง ุงู„ู„ูŠ ุจู†ุณุชุฎุฏู…ู‡ ู…ุน
608
+
609
+ 153
610
+ 00:14:46,470 --> 00:14:48,130
611
+ ุฌู‡ุงุฒ ู…ุนูŠุงุฑูŠ ุฃูƒุซุฑ ุฏู‚ู‘ุฉ.
612
+
613
+ 154
614
+ 00:14:50,750 --> 00:14:53,490
615
+ ู…ู…ูƒู† ู†ู‚ุฑู‘ุฑ from our knowledge of how the instrument
616
+
617
+ 155
618
+ 00:14:53,490 --> 00:15:00,130
619
+ was calibrated. ู…ู† ู…ุนุฑูุชู†ุง ูƒูŠู ุนู…ู„ุช ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ.
620
+
621
+ 156
622
+ 00:15:00,130 --> 00:15:05,390
623
+ ู„ู…ุง ู†ุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ุฃูŠ ุฌู‡ุงุฒ ุจุฃู‚ุงุฑู†ู‡ ุจุฌู‡ุงุฒ ู…ุนูŠุงุฑูŠ
624
+
625
+ 157
626
+ 00:15:05,390 --> 00:15:11,610
627
+ ุจูŠุนุทูŠู†ูŠ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ. ุงู„ู…ุนุงูŠุฑุฉ ุจูŠุนุทูŠู†ูŠ ู…ุง ูŠุณู…ู‘ู‰
628
+
629
+ 158
630
+ 00:15:11,610 --> 00:15:14,990
631
+ ุงู„ู„ูŠ ู‡ูˆ linearity. ุฎู„ุงู„ ุนู…ู„ุช ู…ุนุงูŠุฑุฉ ุจูŠุนุทูŠู†ูŠ ุงู„ู€
632
+
633
+ 159
634
+ 00:15:14,990 --> 00:15:24,060
635
+ linearityุŒ ุงู„ู€ zero offsetุŒ ูˆุงู„ู€ hysteresis. ุงู„ู€ zero
636
+
637
+ 160
638
+ 00:15:24,060 --> 00:15:26,720
639
+ offset ู‡ูŠ ุงู„ู€ bias error. ุงู„ู€ zero offset ู‡ูŠ ุงู„ู€ bias
640
+
641
+ 161
642
+ 00:15:26,720 --> 00:15:30,260
643
+ error. ุจุชูƒูˆู† ุฃูŠ ุงูุชุญ ุฃูŠ ุฌู‡ุงุฒ electronicุŒ ุฅุฐุง ุฃุญุฏ ู…ุด
644
+
645
+ 162
646
+ 00:15:30,260 --> 00:15:34,020
647
+ ุจูŠุฌูŠุจ ุฌู‡ุงุฒ multimeter ูˆูŠูุชุญ ุงู„ู€ data sheet ุจุชุงุนุชู‡
648
+
649
+ 163
650
+ 00:15:34,020 --> 00:15:37,700
651
+ ุจูŠูƒูˆู† ูƒุงุชุจ ููŠ ุงู„ู€ specifications ู…ุนุทูŠู†ุง ุงู„ู…ุนู„ูˆู…ุงุช
652
+
653
+ 164
654
+ 00:15:37,700 --> 00:15:41,980
655
+ ู‡ุฐู‡. ุงู„ู€ linearityุŒ ู…ุนุทูŠู†ูŠ ุงู„ู€ zero offsetุŒ ู…ุนุทูŠู†ูŠ ุงู„ู€
656
+
657
+ 165
658
+ 00:15:41,980 --> 00:15:48,040
659
+ ุงู„ู€ hysteresis. ูู…ู†
660
+
661
+ 166
662
+ 00:15:48,040 --> 00:15:55,320
663
+ ู…ุนุฑูุฉ ุทุฑูŠู‚ุฉ ุงู„ู€ calibration ุงู„ู„ูŠ ู…ู…ูƒู† ูŠุฒูˆู‘ุฏู†ูŠ ููŠู‡ุง
664
+
665
+ 167
666
+ 00:15:55,320 --> 00:16:00,820
667
+ ุงู„ู…ุตู†ุน ุงู„ู„ูŠ ุนู…ู„ ุงู„ุฌู‡ุงุฒุŒ ู„ุงุฒู… ุฅูŠุด ู…ุนุงูŠุฑุชู‡ ุจูŠุนุทูŠู†ูŠ
668
+
669
+ 168
670
+ 00:16:00,820 --> 00:16:09,720
671
+ ุฅูŠุด ุนู†ุฏู‡ ุงู„ู„ูŠ ู‡ูˆ bias error ููŠ ุงู„ุฌู‡ุงุฒ. ุงู„ู€
672
+
673
+ 169
674
+ 00:16:09,720 --> 00:16:14,100
675
+ bias errors ูƒู…ุงู† ู…ู…ูƒู† ูŠุชู… ุชู‚ุฏูŠุฑู‡ุง from our
676
+
677
+ 170
678
+ 00:16:14,100 --> 00:16:16,900
679
+ experience with instruments of that particular
680
+
681
+ 171
682
+ 00:16:16,900 --> 00:16:20,860
683
+ type. ู…ู† ุฎุจุฑุชูƒ ููŠ ุฌู‡ุงุฒ ู…ู…ุงุซู„ ู‡ุฐุง ุงู„ุฌู‡ุงุฒุŒ ุฃู†ุช ุชุนุงู…ู„ุช
684
+
685
+ 172
686
+ 00:16:20,860 --> 00:16:25,420
687
+ ู…ุซู„ุงู‹ ุงู„ุฌู‡ุงุฒ ู‡ุฐุง ุฅู„ูƒ ุนุดุฑ ุณู†ูŠู† ู…ุซู„ุงู‹ุŒ ูˆุฃู†ุช ุนุงู…ู„ุช ู…ุน
688
+
689
+ 173
690
+ 00:16:25,420 --> 00:16:28,740
691
+ ุซู„ุงุซ ุฃุฑุจุนุฉ ุฃุฌู‡ุฒุฉ ูˆูƒู†ุช ุนุงุฑู ุฃู†ู‘ ุงู„ุฃุฌู‡ุฒุฉ ู‡ุฐู‡ ุจุชุนุทูŠู†ูŠ
692
+
693
+ 174
694
+ 00:16:28,740 --> 00:16:32,520
695
+ ุงุฎุชู„ุงู ู…ุซู„ุงู‹ +2 degrees ุฃูˆ -2 degrees.
696
+
697
+ 175
698
+ 00:16:33,500 --> 00:16:36,940
699
+ ูู…ู† ุฎุจุฑุชูƒ ุงู„ุณุงุจู‚ุฉ ู„ู…ุง ุจุชุนุงู…ู„ ู…ุน ุฃุฌู‡ุฒุฉ ู…ู† ู†ูุณ ุงู„ู†ูˆุน
700
+
701
+ 176
702
+ 00:16:36,940 --> 00:16:41,760
703
+ ุจุชู‚ุฏุฑ ุงู„ู€ bias error. ูŠุนู†ูŠ ู„ู…ุง.. ู…ู† ู…ุนุฑูุชูƒ ุญูƒูŠุช
704
+
705
+ 177
706
+ 00:16:41,760 --> 00:16:45,300
707
+ ุฌู‡ุงุฒ ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ู…ุง ูŠุตุญุด ุชู‚ูˆู„ ู„ุฃุŒ ู‡ุฐุง ู…ุด ุตุญุŒ ุงู„ุตุญ ู‡ูŠ
708
+
709
+ 178
710
+ 00:16:45,300 --> 00:16:52,880
711
+ 95ุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ. ุงู„ู†ูˆุน
712
+
713
+ 179
714
+ 00:16:52,880 --> 00:16:55,260
715
+ ุงู„ุซุงู†ูŠุŒ ุฅุญู†ุง ุญูƒูŠู†ุง.. ุญูƒูŠู†ุง ุงู„ู†ูˆุน ุงู„.. ุงู„.. ุฅุญู†ุง
716
+
717
+ 180
718
+ 00:16:55,260 --> 00:16:58,060
719
+ ุญูƒูŠู†ุง ุนู† ุงู„ู€ two classes of
720
+
721
+ 223
722
+ 00:20:36,140 --> 00:20:40,280
723
+ ู‡ูŠูƒูˆู† ููŠ ุนู†ุฏู‡ randomness distribution ู„ู„ู‚ุฑุงุกุงุช
724
+
725
+ 224
726
+ 00:20:40,280 --> 00:20:43,920
727
+ ุญูˆุงู„ูŠู† ุงู„ู€ central point ู‡ุฐู‡ ุงู„ู€ central point ูููŠ
728
+
729
+ 225
730
+ 00:20:43,920 --> 00:20:47,620
731
+ distribution ุงู„ู‚ุฑุงุกุงุช ุญูˆุงู„ูŠู† this central point
732
+
733
+ 226
734
+ 00:20:47,620 --> 00:20:51,880
735
+ ุงู„ุขู†
736
+
737
+ 227
738
+ 00:20:51,880 --> 00:20:55,980
739
+ ู„ู„ู€ true value ู‡ุฐู‡ ุงู„ู€ true value ู‡ุฐู‡ x true ู‡ุฐู‡ x
740
+
741
+ 228
742
+ 00:20:55,980 --> 00:21:03,010
743
+ true ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ูƒู† ุงู„ู€ central value ู…ุด
744
+
745
+ 229
746
+ 00:21:03,010 --> 00:21:05,690
747
+ ู…ุชุทุงุจู‚ุฉ ู„ุฃู† ุงุญู†ุง ู…ุง ูƒู†ุงุด ุนุงุฑููŠู† ุงู„ู€ true value
748
+
749
+ 230
750
+ 00:21:05,690 --> 00:21:11,550
751
+ ุงุญู†ุง ู…ุง ูƒู†ุงุด ุนุงุฑููŠู† ุงู„ู€ true value ู„ุญุธุฉ ููŠ some bias
752
+
753
+ 231
754
+ 00:21:11,550 --> 00:21:17,150
755
+ ุฏุงูŠู…ุง ู„ู€ true value ุฌุงูŠุฉ ุนู„ู‰ ุฌู‡ุฉ ูู‡ุฐู‡ ุจุณู…ูŠู‡ุง bias
756
+
757
+ 232
758
+ 00:21:17,150 --> 00:21:28,010
759
+ error ู„ุฃู† ุงุฐุง ู‡ุฐู‡ X ู‡ุฐู‡ X true ู‡ุฐู‡
760
+
761
+ 233
762
+ 00:21:28,010 --> 00:21:29,330
763
+ ุงู„ู€ measured X
764
+
765
+ 234
766
+ 00:21:32,640 --> 00:21:37,720
767
+ ู‡ุฐู‡ ุงู„ู€ Central Value ุฃูˆ ุงู„ู€ Mean Value ุงู„ู€ Mean
768
+
769
+ 235
770
+ 00:21:37,720 --> 00:21:48,980
771
+ Value of Measurements ุงุญู†ุง
772
+
773
+ 236
774
+ 00:21:48,980 --> 00:21:52,940
775
+ ู‚ู„ู†ุง ุงู„ู€ Random ุฃูˆ ุงู„ู€ Precision Error ุจูŠูƒูˆู† ููŠ ุงู†
776
+
777
+ 237
778
+ 00:21:52,940 --> 00:21:55,900
779
+ Data ุฐุจุฐุจ ุญูˆุงู„ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู…ุด
780
+
781
+ 238
782
+ 00:21:55,900 --> 00:21:58,000
783
+ ู‡ูŠูƒูˆู† ู‡ุงูŠ ุงู„ู€ X measured
784
+
785
+ 239
786
+ 00:22:00,970 --> 00:22:12,190
787
+ ู‡ุฐุง ู„ู† ูŠูƒูˆู† random ุฃูˆ precision error ู„ูƒู†
788
+
789
+ 240
790
+ 00:22:12,190 --> 00:22:16,810
791
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู‚ูŠู…ุฉ
792
+
793
+ 241
794
+ 00:22:16,810 --> 00:22:24,670
795
+ ุงู„ุญู‚ูŠู‚ูŠุฉ is biased ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡
796
+
797
+ 242
798
+ 00:22:24,670 --> 00:22:29,530
799
+ ุณุชูƒูˆู† biased error
800
+
801
+ 243
802
+ 00:22:31,960 --> 00:22:38,640
803
+ ุงู„ู€ total error ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ E total ู‡ูŠูƒูˆู† ุงู„ู€
804
+
805
+ 244
806
+ 00:22:38,640 --> 00:22:42,660
807
+ random error ุฒุงุฆุฏ ุงู„ู€ bias error total error
808
+
809
+ 245
810
+ 00:22:42,660 --> 00:22:46,700
811
+ ุจุงู„ุณุงูˆูŠุฉ ุงู„ู€ random error ุฒุงุฆุฏ ุงู„ู€ bias error ู†ุดูˆู
812
+
813
+ 246
814
+ 00:22:46,700 --> 00:22:54,920
815
+ ุญุงู„ุฉ ุชุงู†ูŠุฉ ู„ุฃ
816
+
817
+ 247
818
+ 00:22:54,920 --> 00:23:00,040
819
+ ุงู†ุช ุทุงู„ุน ุนู„ู‰ ู‡ุฐุง ุฃู†ุง ุจุญูƒูŠ ุนู† ู‡ุฐุง ู„ุฃู† ู‡ุฐุง ุจู…ุซู„
820
+
821
+ 248
822
+ 00:23:00,040 --> 00:23:06,090
823
+ ุงู„ุชูˆุฒูŠุน ู‡ุฐุง ุจูŠู…ุซู„ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุฃู†ุง
824
+
825
+ 249
826
+ 00:23:06,090 --> 00:23:10,350
827
+ ุฃุฎุฏุชู‡ุง ุฃู†ุง ุจุนู…ู„ ุงู„ุชุฌุฑุจุฉ ุจุงุฎุฏ ู‚ุฑุงุกุงุช ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ
828
+
829
+ 250
830
+ 00:23:10,350 --> 00:23:16,670
831
+ ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ุซุงุจุชุฉ ู„ูƒู† ุฃู†ุง ุจุงุฎุฏ ู‚ุฑุงุกุงุช ุฃูˆ
832
+
833
+ 251
834
+ 00:23:16,670 --> 00:23:19,330
835
+ ุงู†ุชูˆุง ู…ุฌู…ูˆุนุฉ ูˆูƒู„ ูˆุงุญุฏ ูƒุงู† ูŠุงุฎุฏ ู‚ุฑุงุกุฉ ูˆ ุฌู…ุนู†ุง
836
+
837
+ 252
838
+ 00:23:19,330 --> 00:23:23,910
839
+ ุจูŠุงู†ุงุช ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุจุชูƒูˆู†ุด ุฃูˆ ุงู„ู‚ุฑุงุกุงุช ุจุชูƒูˆู†ุด ูƒู„ู‡ุง
840
+
841
+ 253
842
+ 00:23:23,910 --> 00:23:26,990
843
+ ู†ูุณ ุงู„ู‚ุฑุงุกุฉ ูŠุนู†ูŠ ู‡ูŠ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุงุช
844
+
845
+ 254
846
+ 00:23:26,990 --> 00:23:30,150
847
+ ู…ุฎุชู„ูุฉ ู‡ุฐุง ุจูŠู…ุซู„ ุงู„ุชูƒุฑุงุฑ ุฃูˆ ุงู„ู€ distribution ุชุงุน
848
+
849
+ 255
850
+ 00:23:30,150 --> 00:23:37,460
851
+ ุงู„ู‚ุฑุงุกุงุช ุจุชู…ุซู„ ุงู„ู€ main value ุจุชู…ุซู„ ุงู„ู€ main value ู„ูƒู†
852
+
853
+ 256
854
+ 00:23:37,460 --> 00:23:42,820
855
+ ู‡ู„ ู‡ูŠ ุงู„ู€ main value ู‡ูŠ ุจุชู…ุซู„ ุงู„ู€ true valueุŸ ู„ุฃ ุฃูƒูŠุฏ
856
+
857
+ 257
858
+ 00:23:42,820 --> 00:23:48,920
859
+ ุงุญู†ุง ู…ุด ุนุงุฑููŠู† ู‚ุฏ ุชูƒูˆู† ุงู„ู€ true value ู‡ู†ุง ุฃูˆ
860
+
861
+ 258
862
+ 00:23:48,920 --> 00:23:53,840
863
+ ู‡ู†ุง ู†ูุชุฑุถ ุฃู† ู‡ุฐู‡ ุงู„ู€ true value ูˆู‡ุฐู‡ ุงู„ู€ main
864
+
865
+ 259
866
+ 00:23:53,840 --> 00:23:58,860
867
+ value ุงู„ู€ precision error ุฃูˆ ุงู„ู€ random error ุจูŠูƒูˆู†
868
+
869
+ 260
870
+ 00:23:59,820 --> 00:24:03,260
871
+ ุงุฎุชู„ุงู ุงู„ู‚ูŠุงุณุงุช ูŠุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ
872
+
873
+ 261
874
+ 00:24:03,260 --> 00:24:07,780
875
+ ูŠุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ุฃู†ู‡ุง ู‡ุชุชู…ุซู„ ุงู„ู€
876
+
877
+ 262
878
+ 00:24:07,780 --> 00:24:11,880
879
+ average of all measured data ู‡ุชุชู…ุซู„ ุงู„ู€ average of
880
+
881
+ 263
882
+ 00:24:11,880 --> 00:24:15,800
883
+ all measured data ู„ูƒู† ุนู„ู‰ ูุฑุตุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ truth
884
+
885
+ 264
886
+ 00:24:15,800 --> 00:24:20,320
887
+ ุงู„ู„ูŠ ู‡ุฐู‡ ุงู„ู€ X true ุงู„ู€ X true ู…ุนู†ุงุชู‡ ุงู„ู€ main value
888
+
889
+ 265
890
+ 00:24:20,320 --> 00:24:24,900
891
+ ู…ุด ู…ู†ุทุจู‚ ุนู„ู‰ ุงู„ู€ X true ุนุฏู… ุงู†ุทุจุงู‚ ุงู„ู€ main value
892
+
893
+ 266
894
+ 00:24:24,900 --> 00:24:31,960
895
+ ุนู„ู‰ ุงู„ู€ true value ุจูŠุนู…ู„ bias ุงู†ุญุฑุงู bias error ูˆ
896
+
897
+ 267
898
+ 00:24:31,960 --> 00:24:37,980
899
+ ู„ุงุญุธูˆุง ุชู‚ุฑูŠุจุง ุซุงุจุช ู‡ุฐุง ู„ูƒู† ู‚ุฏ ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ู‚ุฏ ุชูƒูˆู†
900
+
901
+ 268
902
+ 00:24:37,980 --> 00:24:41,620
903
+ ู‡ุฐุง X ู…ุฌุฑุฏ ู…ุฌุฑุฏ ุฃูˆ ู‡ุฐุง ุฃูˆ ู‡ุฐุง ุฃูˆ ู‡ุฐุง ุฃูŠ ู‚ูŠู…ุฉ ููŠ ุงู„ู€
904
+
905
+ 269
906
+ 00:24:41,620 --> 00:24:44,580
907
+ range ู‡ุฐุง ู‡ูŠ is a measured value ุงู„ู„ูŠ ุฃุฎุฏุชู‡ุง ู…ู†ูƒู…
908
+
909
+ 270
910
+ 00:24:44,580 --> 00:24:51,200
911
+ ุงู†ุชูˆุง ุงู„ู„ูŠ ุฃุฎุฏุชูˆุง ุงู„ู‚ุฑุงุกุงุช ุงู„ุขู† ุงู„ุจุนุฏ ุนู† ุงู„ู€ average
912
+
913
+ 271
914
+ 00:24:51,200 --> 00:24:54,500
915
+ measured value ู‡ูˆ ุงู„ู€ random error ู‡ูˆ ุงู„ู€
916
+
917
+ 272
918
+ 00:24:54,500 --> 00:24:57,740
919
+ fluctuation about ุงู„ู€ central point ุงู„ุชูˆู‚ูŠุช ุงู„ู„ูŠ ุฑุงุญ
920
+
921
+ 273
922
+ 00:24:57,740 --> 00:25:02,890
923
+ ูŠูƒูˆู† ุฌุฒุก ู…ู†ู‡ due to randomness random error ุงู„ู„ูŠ ู‡ูˆ
924
+
925
+ 274
926
+ 00:25:02,890 --> 00:25:06,410
927
+ ู‡ุฐุง ุงู„ุฌุฒุก ูˆ due to bias from the true value
928
+
929
+ 275
930
+ 00:25:06,410 --> 00:25:16,130
931
+ ูˆุงุถุญุฉุŸ ุทูŠุจ ู‡ุง ู‡ูˆ ู…ุซุงู„ ุชุงู†ูŠ ุฃุฎุฏ ู‚ุฑุงุกุงุช ุจุฑุถู‡ ู‡ุฐุง ู‡ูˆ
932
+
933
+ 276
934
+ 00:25:16,130 --> 00:25:24,170
935
+ distribution ู‡ุฐุง
936
+
937
+ 277
938
+ 00:25:24,170 --> 00:25:25,270
939
+ ุงู„ู‚ูŠู…ุฉ ุชู…ุซู„ ุฅูŠู‡ุŸ
940
+
941
+ 278
942
+ 00:25:30,980 --> 00:25:40,240
943
+ ู‡ุฐู‡ ู‡ุฐู‡ ุงู„ู€ X mean ุงู„ู€ mean value X mean ู‡ุฐู‡
944
+
945
+ 279
946
+ 00:25:40,240 --> 00:25:50,840
947
+ X measured ุงู„ุขู†
948
+
949
+ 280
950
+ 00:25:50,840 --> 00:25:56,200
951
+ ุงู„๏ฟฝ๏ฟฝุฑู‚ ุจูŠู† ุงู„ู€ X measured ูˆ X mean ุจุชู…ุซู„ ู„ูŠุด random
952
+
953
+ 281
954
+ 00:25:56,200 --> 00:25:59,440
955
+ error random ุฃูˆ precision error
956
+
957
+ 282
958
+ 00:26:05,020 --> 00:26:09,940
959
+ ู‡ูŠ ุงู„ู€ true value ุงุญู†ุง ุฃุฎุฏู†ุง ุญุงู„ุฉ extreme ู‡ุงูŠ X true
960
+
961
+ 283
962
+ 00:26:09,940 --> 00:26:18,960
963
+ ู‡ุงุฏูŠ X true ุงู„ูุฑู‚
964
+
965
+ 284
966
+ 00:26:18,960 --> 00:26:24,100
967
+ ุจูŠู† ุงู„ู€ mean value ูˆ ุงู„ู€ true value ู‡ูŠ ุฅูŠุดุŸ ุงู„ู€ bias
968
+
969
+ 285
970
+ 00:26:24,100 --> 00:26:32,640
971
+ ุตุญ bias error ู…ุฌู…ูˆุนู‡ู…
972
+
973
+ 286
974
+ 00:26:32,640 --> 00:26:38,540
975
+ ุงู„ู€ bias error ุฒุงุฆุฏ ุงู„ู€ precision error ุจูŠุนุทูŠู†ุง ุงู„ู€
976
+
977
+ 287
978
+ 00:26:38,540 --> 00:26:42,600
979
+ total error ู…ุธุจูˆุทุŸ
980
+
981
+ 288
982
+ 00:26:42,600 --> 00:26:50,080
983
+ ููŠ ุฃูŠ ุณุคุงู„ุŸ
984
+
985
+ 289
986
+ 00:26:50,080 --> 00:26:58,500
987
+ ู†ูุณ ุงู„ููƒุฑุฉ .. ู†ูุณ ุงู„ููƒุฑุฉ ู…ู…ูƒู† ุชูƒูˆู† bias ุจุงู„ู…ูˆุฌุจ ุฃูˆ
988
+
989
+ 290
990
+ 00:26:58,500 --> 00:27:05,040
991
+ bias ุจุงู„ุณุงู„ุจ ุฃู†ุง ู…ุซู„ุง ุจุนุทูŠ ุงู„ู‚ุฑุงุกุฉ ุงู„ู‚ุฑุงุกุฉ ุงู„ู€ true
992
+
993
+ 291
994
+ 00:27:05,040 --> 00:27:09,100
995
+ ู…ุซู„ุง ุฃู†ุง ุจุชุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ 100 ุจุณ ู‡ูŠ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฅูŠุดุŸ 105
996
+
997
+ 292
998
+ 00:27:09,100 --> 00:27:17,780
999
+ ูŠุนู†ูŠ ุฃู†ุง I am biased ุจุงู„ู€ negative ู…ู…ูƒู†
1000
+
1001
+ 293
1002
+ 00:27:17,780 --> 00:27:21,640
1003
+ ุงุญุชู…ุงู„ ุฃุญุฏ ุงู„ุงุญุชู…ุงู„ุงุช ูˆุงุญุชู…ุงู„ ูˆุงุฑุฏ ูˆุงุญุชู…ุงู„ ู„ุฃ
1004
+
1005
+ 294
1006
+ 00:27:21,640 --> 00:27:27,200
1007
+ ุงุญุชู…ุงู„ ุฃู† ุฃู†ุง ู„ู…ุง ุฃู‚ูŠุณ ุทู„ุนุช ู‡ุฐู‡ ุนุดุฑุฉ point two one
1008
+
1009
+ 295
1010
+ 00:27:27,200 --> 00:27:29,740
1011
+ millimeter ุงุญุชู…ุงู„ ูŠูƒูˆู† ู‡ุฐุง ู‡ูˆ ุงู„ู€ true value
1012
+
1013
+ 296
1014
+ 00:27:29,740 --> 00:27:31,820
1015
+ ูˆุงุญุชู…ุงู„ ู„ุฃ ู…ุด ุนุงุฑููŠู† ู…ุด ุฃุญุฏ ุฃู†ุง ุนุงุฑู
1016
+
1017
+ 297
1018
+ 00:27:39,180 --> 00:27:43,580
1019
+ ุงู„ุขู† ุงุญู†ุง ุญูƒูŠู†ุง ุจุดูƒู„ ุนุงู… ุนู†ุฏู†ุง two classes of
1020
+
1021
+ 298
1022
+ 00:27:43,580 --> 00:27:49,220
1023
+ error bias ุฃูˆ systematic error ูˆ precision ุฃูˆ
1024
+
1025
+ 299
1026
+ 00:27:49,220 --> 00:27:56,540
1027
+ random errors ุงู„ู€ bias ูˆ systematic errors ุจุฑุถู‡ ู„ู‡ุง
1028
+
1029
+ 300
1030
+ 00:27:56,540 --> 00:28:02,480
1031
+ ุชู‚ุณูŠู…ุฉ ุนู†ุฏูŠ calibration errors ุนู†ุฏูŠ certain
1032
+
1033
+ 301
1034
+ 00:28:02,480 --> 00:28:06,260
1035
+ periodic human errors ุฎุทุฃ ุฎุทุฃ ู†ุชูŠุฌุฉ ุงู„ุนุงู…ู„ ุงู„ุจุดุฑูŠ
1036
+
1037
+ 302
1038
+ 00:28:07,650 --> 00:28:12,310
1039
+ certain errors caused by defective equipment ุงู„ู€
1040
+
1041
+ 303
1042
+ 00:28:12,310 --> 00:28:15,610
1043
+ equipment defect ููŠู‡ ู…ุดูƒู„ุฉ ููŠ ุงู„ู€ design ุจุชุงุนู‡ ููŠ
1044
+
1045
+ 304
1046
+ 00:28:15,610 --> 00:28:20,270
1047
+ ุงู„ุชุตู†ูŠุน ููŠ ุงู„ู€ .. ููŠ ุงู„ู€ main .. ูŠุนู†ูŠ ููŠู‡ ู…ุดูƒู„ุฉ ู…ุง
1048
+
1049
+ 305
1050
+ 00:28:20,270 --> 00:28:24,910
1051
+ ููŠ ุงู„ุฌู‡ุงุฒ defective loading errors ู‡ุชุดูˆู ุฅูŠุด ู…ุนู†ุงู‡
1052
+
1053
+ 306
1054
+ 00:28:24,910 --> 00:28:29,950
1055
+ loading errors limitations of system resolution
1056
+
1057
+ 307
1058
+ 00:28:30,830 --> 00:28:36,450
1059
+ ุงู„ู‚ุฑุงุกุงุช ุชุฏุฑุฌุงุช ู…ุด ูƒุงููŠุฉ ุชุจูŠู†ูŠ ุงู„ุชูุงุตูŠู„ ุฃูƒุซุฑ ุฏู‚ุฉ
1060
+
1061
+ 308
1062
+ 00:28:36,450 --> 00:28:40,570
1063
+ ูŠุนู†ูŠ ู…ุตุทู„ุญ ุงู„ู€ result ุจุชุงุนูŠ ุจูŠูƒูˆู† ูˆุงุญุฏ ู…ู„ูŠ ู…ุชุฑ ุงู„ู€
1064
+
1065
+ 309
1066
+ 00:28:40,570 --> 00:28:44,710
1067
+ caliber ุงู„ู€ result ุจุชุงุนูŠ ุจูŠูƒูˆู† point o ูˆุงุญุฏ ู…ู„ูŠ ู…ุชุฑ
1068
+
1069
+ 310
1070
+ 00:28:44,710 --> 00:28:49,630
1071
+ ุทูŠุจ
1072
+
1073
+ 311
1074
+ 00:28:49,630 --> 00:28:52,330
1075
+ ู…ุนู†ุงุชู‡ ุงู„ู€ bias ุฃูˆ systematic error ุงู„ู€ bias ุฃูˆ
1076
+
1077
+ 312
1078
+ 00:28:52,330 --> 00:28:55,230
1079
+ systematic error ู…ู…ูƒู† ุชูƒูˆู† calibration errors ุฃูˆ
1080
+
1081
+ 313
1082
+ 00:28:55,230 --> 00:28:58,730
1083
+ periodic human errors ุฃูˆ errors caused by
1084
+
1085
+ 314
1086
+ 00:28:58,730 --> 00:29:03,120
1087
+ defective equipment ุฃูˆ loading errors ุฃูˆ
1088
+
1089
+ 315
1090
+ 00:29:03,120 --> 00:29:11,400
1091
+ limitations ุฃูˆ errors due to resolution ุงู„ู€
1092
+
1093
+ 316
1094
+ 00:29:11,400 --> 00:29:17,240
1095
+ precision ุฃูˆ random errors ู…ู…ูƒู† ุชูƒูˆู† errors caused
1096
+
1097
+ 317
1098
+ 00:29:17,240 --> 00:29:24,160
1099
+ by disturbances to the equipment ุนู…ู„ุช ุฒูŠ ุฅุฒุนุงุฌ ู„ู„ู€
1100
+
1101
+ 318
1102
+ 00:29:24,160 --> 00:29:28,620
1103
+ equipment ู…ุซู„ุง ูŠูƒูˆู† ููŠู‡ ุงู‡ุชุฒุงุฒุงุช ู…ุซู„ุง ุงู‡ุชุฒุงุฒุงุช
1104
+
1105
+ 319
1106
+ 00:29:28,620 --> 00:29:31,720
1107
+ disturbances ู„ู„ู€ equipment errors caused by
1108
+
1109
+ 320
1110
+ 00:29:31,720 --> 00:29:35,820
1111
+ fluctuating experimental conditions ู…ู…ูƒู† ููŠ .. ุฅุฐุง
1112
+
1113
+ 321
1114
+ 00:29:35,820 --> 00:29:40,580
1115
+ ุงู„ุชุฌุฑุจุฉ ู‡ุชู…ุชุฏ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ูŠุตูŠุฑ ุชุบูŠุฑุงุช ููŠ
1116
+
1117
+ 322
1118
+ 00:29:40,580 --> 00:29:46,640
1119
+ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุฃูˆ ุงู„ุฑุทูˆุจุฉ ุชุคุซุฑ ุนู„ู‰ ุงู„ู†ุชุงุฆุฌ errors
1120
+
1121
+ 323
1122
+ 00:29:46,640 --> 00:29:51,660
1123
+ derived from insufficient measuring system ูŠุนู†ูŠ
1124
+
1125
+ 324
1126
+ 00:29:51,660 --> 00:29:58,040
1127
+ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ู…ุด ุญุณุงุณ ุฅู†ู‡ ูŠุงุฎุฏ ุงู„ู‚ุฑุงุกุฉ ูŠุนู†ูŠ ู…ุซู„ุง ุฃู†ุง
1128
+
1129
+ 325
1130
+ 00:29:58,040 --> 00:30:02,240
1131
+ ุนู†ุฏูŠ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ุถุบุท ู‡ุฐุง ุฌู‡ุงุฒ ุงู„ู…ุตู†ุน ุนู…ู„ู‡ ุนุดุงู†
1132
+
1133
+ 326
1134
+ 00:30:02,240 --> 00:30:08,680
1135
+ ูŠู‚ูŠุณ ู…ุซู„ุง ุงู„ู€ range ุจุชุงุนู‡ ู…ู† ุฃุฑุจุนูŠู† ู„ู…ุงูŠุฉ bar ู„ูˆ
1136
+
1137
+ 327
1138
+ 00:30:08,680 --> 00:30:16,180
1139
+ ุญุทูŠุชู‡ ูŠู‚ูŠุณ ูˆุงุญุฏ millibar ู…ุด ู‡ุฌูŠุจู‡ุŒ ู…ุธุจูˆุทุŸ ู‡ูˆ
1140
+
1141
+ 328
1142
+ 00:30:16,180 --> 00:30:18,540
1143
+ sensitive ุงู„ู€ sensitive ุจุชุงุนุชู‡ plus ุงู„ู€ one bar ูˆ
1144
+
1145
+ 329
1146
+ 00:30:18,540 --> 00:30:21,340
1147
+ ู„ุง ุฎู…ุณุฉ bar ู„ู…ุง ุฃุญูƒูŠู„ู‡ ุจุฏูŠ ูˆู„ุง ุนุดุฑุฉ millibar ูŠุนู†ูŠ
1148
+
1149
+ 330
1150
+ 00:30:21,340 --> 00:30:24,500
1151
+ ูˆุงุญุฏ ู…ู† ุฃู„ู ู…ู† ุงู„ู€ bar ู…ุด ู‡ุฌูŠุจู‡ it's not sensitive
1152
+
1153
+ 331
1154
+ 00:30:24,500 --> 00:30:28,460
1155
+ enough to measure very low pressure
1156
+
1157
+ 332
1158
+ 00:30:35,890 --> 00:30:40,250
1159
+ ุทูŠุจ ุงุญู†ุง ููŠ ุฃุฎุทุงุก ุชุณู…ู‰ illegitimate illegitimate
1160
+
1161
+ 333
1162
+ 00:30:40,250 --> 00:30:44,790
1163
+ ู…ุงุดูŠ ู…ุนู†ุงู‡ illegitimate ุดุฑุนูŠุฉ illegitimate ุบูŠุฑ ุดุฑุนูŠุฉ
1164
+
1165
+ 334
1166
+ 00:30:44,790 --> 00:30:48,730
1167
+ ุฃุฎุทุงุก ุบูŠุฑ ุดุฑุนูŠุฉ ูŠุนู†ูŠ ุงู„ู€ bias ูˆ ุงู„ู€ system .. ุงู„ู€
1168
+
1169
+ 335
1170
+ 00:30:48,730 --> 00:30:52,610
1171
+ bias ูˆ ุงู„ู€ random you know ุจุชุณูŠุฑ ู…ุน ุจุนุถ ุฃุญูŠุงู†ุง ูŠุนู†ูŠ
1172
+
1173
+ 336
1174
+ 00:30:52,610 --> 00:30:57,390
1175
+ ู…ุง ููŠุด ุณูŠุทุฑุฉ ุฃุญูŠุงู†ุง ุจูŠุณูŠุฑูˆุง ู…ุน ุจุนุถ ู„ูƒู† ููŠ ุฃุฎุทุงุก
1176
+
1177
+ 337
1178
+ 00:30:57,390 --> 00:31:02,350
1179
+ ุฒูŠ ุงู„ุฃุฎุทุงุก ู…ุซู„ุง ุฃู†ู‡ ุจุงุฎุฏ ุงู„ู‚ุฑุงุกุงุช ุจุงุฎุฏู‡ุง ุบู„ุท ุฃู†ุง
1180
+
1181
+ 338
1182
+ 00:31:03,390 --> 00:31:09,370
1183
+ mistakes ุฃูˆ ูƒุชุจุช ุฑู‚ู… ุบู„ุท ุฃูˆ ุจุนุฏ
1184
+
1185
+ 339
1186
+ 00:31:09,370 --> 00:31:14,670
1187
+ ุงู†ุชู‡ุงุก ุงู„ุชุฌุฑุจุฉ ูƒุงู† ููŠ ุฎุทุฃ ููŠ ุงู„ุญุณุงุจุงุช ุงู„ุฎุทุฃ ููŠ
1188
+
1189
+ 340
1190
+ 00:31:14,670 --> 00:31:17,950
1191
+ ุงู„ุญุณุงุจุงุช ุจุชุตู„ุญ ุฃู†ุช .. ุฃู†ุช .. ุฃู†ุช ุบู„ุทุงู† ุจุฏูƒ ุจุณ
1192
+
1193
+ 341
1194
+ 00:31:17,950 --> 00:31:22,650
1195
+ ุชู†ุชุจู‡ ุฃูƒุชุฑ ุนุดุงู† ู…ุง ุชุฎุทุงุด ุฃุฎุทุงุก ุชุนุทูŠู„ ู†ุชุงุฆุฌ ู…ุด
1196
+
1197
+ 342
1198
+ 00:31:22,650 --> 00:31:29,850
1199
+ ู…ุทุงุจู‚ุฉ ู„ู„ูˆุงู‚ุน ุงู„ุชุฌุฑุจุฉ ููŠู†ุง
1200
+
1201
+ 343
1202
+ 00:31:29,850 --> 00:31:35,050
1203
+ errors that are sometimes bias and sometimes
1204
+
1205
+ 344
1206
+ 00:31:35,050 --> 00:31:38,610
1207
+ precision ููŠ ุจุนุถ ุงู„ุฃุฎุทุงุก .. ุงู„ุฃุฎุทุงุก ู…ู…ูƒู† ุชูƒูˆู† ุชุตู†ู
1208
+
1209
+ 345
1210
+ 00:31:38,610 --> 00:31:43,210
1211
+ ุจุนุถ ุงู„ุฃุญูŠุงู† bias errors ูˆ ููŠ ุฃุญูŠุงู† ุฃุฎุฑู‰ ุชุตู†ู
1212
+
1213
+ 346
1214
+ 00:31:43,210 --> 00:31:47,330
1215
+ precision errors ูŠุนู†ูŠ ุฌุงูŠ ุจูŠู† ุงู„ุงุชู†ูŠู† ุจูŠู† ุงู„ู„ูŠ ..
1216
+
1217
+ 347
1218
+ 00:31:47,330 --> 00:31:50,570
1219
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ bias systematic ูˆ ุงู„ู€ precision errors
1220
+
1221
+ 348
1222
+ 00:31:50,570 --> 00:31:58,130
1223
+ ุฒูŠ errors from instrument backlash, friction and
1224
+
1225
+ 349
1226
+ 00:31:58,130 --> 00:32:07,460
1227
+ hysteresis backlash ุฅูŠุด ู…ุนู†ุงู‡ backlashุŸ ูุฑู‚ ู‡ุฐุง ูŠุณุชุฎุฏู… ููŠ
1228
+
1229
+ 350
1230
+ 00:32:07,460 --> 00:32:10,440
1231
+ ุงู„ุนุชุฑูˆุณ backlash ูุฑู‚ ู…ู† ุงู„ุฎู„ู ูŠุนู†ูŠ ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ
1232
+
1233
+ 351
1234
+ 00:32:10,440 --> 00:32:25,040
1235
+ ุชุฑุณ ูˆุชุฑุณ ูุนู†ุฏูŠ
1236
+
1237
+ 352
1238
+ 00:32:25,040 --> 00:32:25,960
1239
+ ู‡ู†ุง ุชุฑุณ ุชุงู†ูŠุฉ
1240
+
1241
+ 353
1242
+ 00:32:36,550 --> 00:32:42,090
1243
+ ูŠุนู†ูŠ ู‡ุฐุง ูŠุฏูˆุฑ ุจุงู„ุดูƒู„ ู‡ุฐุง counter clockwise ู‡ุชุญุฑูƒู†ูŠ
1244
+
1245
+ 354
1246
+ 00:32:42,090 --> 00:32:47,610
1247
+ ุฅูŠุด ุฏูˆุฑุŸ clockwise ุตุญุŸ ุชุฑุณ ู„ุญุธุฉ ูŠูƒูˆู† ููŠ ูุฑุงุบุŒ
1248
+
1249
+ 355
1250
+ 00:32:47,610 --> 00:32:53,030
1251
+ ู‡ุฐุง ุงู„ูุฑุงุบ ูŠุนู†ูŠ ู‡ูˆ ู…ุงุดูŠ ุจุงุชุฌุงู‡ ู‡ุฐุงุŒ ููŠ ูˆุฑุงู‡ ูุฑุงุบ
1252
+
1253
+ 356
1254
+ 00:32:53,030 --> 00:32:57,530
1255
+ ุณู…ูˆู‡ ุฅูŠุดุŸ backlash
1256
+
1257
+ 357
1258
+ 00:33:03,910 --> 00:33:07,610
1259
+ ู„ูˆ ุนูƒุณ ุงู„ุงุชุฌุงู‡ ู‡ูŠูƒูˆู† ููŠู‡ error ู„ูˆ ุนูƒุณ ุงุชุฌุงู‡ ุญุฑูƒุฉ
1260
+
1261
+ 358
1262
+ 00:33:07,610 --> 00:33:14,330
1263
+ ุงู„ุชุฑุณ ู‡ูŠูƒูˆู† error ู†ุชูŠุฌุฉ ุงู„ูุฑุงุบ ู‡ุฐุง errors
1264
+
1265
+ 359
1266
+ 00:33:14,330 --> 00:33:19,290
1267
+ from calibration, drift and variation in test or
1268
+
1269
+ 360
1270
+ 00:33:19,290 --> 00:33:23,450
1271
+ environmental conditions ุงู„ุฃุฎุทุงุก ุงู„ู†ุงุชุฌุฉ ุนู† ุงู„ู€
1272
+
1273
+ 361
1274
+ 00:33:23,450 --> 00:33:26,570
1275
+ drift ุงู„ู€ drift ุญูƒูŠู†ุง ุฅู†ู‡ ุจูŠุตูŠุฑ ุชุบูŠุฑ ููŠ ุงู„ู‚ุฑุงุกุงุช ู…ุน
1276
+
1277
+ 362
1278
+ 00:33:26,570 --> 00:33:29,970
1279
+ ุงู„ุฒู…ู† ุนู„ู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ุงู„ู€ drift ุงู„ู€ noise ุจุชูƒูˆู†
1280
+
1281
+ 363
1282
+ 00:33:29,970 --> 00:33:33,920
1283
+ ุชุบูŠุฑู‡ุง ุณุฑูŠุน ู…ุน ุงู„ุฒู…ู† ุงู„ู€ drift ุชูƒูˆู† ุจุทูŠุฆุฉ ู…ุน ุงู„ุฒู…ู†
1284
+
1285
+ 364
1286
+ 00:33:33,920 --> 00:33:39,000
1287
+ ุทูŠุจ errors resulting from variations in procedure
1288
+
1289
+ 365
1290
+ 00:33:39,000 --> 00:33:50,760
1291
+ ุทุฑูŠู‚ุฉ ุนู…ู„ ูุญุต ู…ู…ูƒู† ุชุนู…ู„ ุฅูŠุดุŸ ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉ ุทูŠุจ
1292
+
1293
+ 366
1294
+ 00:33:50,760 --> 00:33:57,160
1295
+ ููŠ ู…ุง ูŠุณู…ู‰ ุงู„ู€ calibration errors ุงู„ู€ calibration
1296
+
1297
+ 367
1298
+ 00:33:57,160 --> 00:34:06,870
1299
+ errors ุชุญุช ุฃู†ูŠุฉ ุชุตู†ูŠู ุฌุงูŠุฉ ุชุญุช ุงู„ู€ bias errors ูˆ ุงู„ู€
1300
+
1301
+ 368
1302
+ 00:34:06,870 --> 00:34:16,070
1303
+ precision errors ุงู„ู€ calibration ุชุญุช ุงู„ู€ bias ู„ู…ุง
1304
+
1305
+ 369
1306
+ 00:34:16,070 --> 00:34:20,810
1307
+ ุขุฌูŠ ุฃู†ุง ุฃุนู…ู„ calibration ู„ุฌู‡ุงุฒ ู…ุซู„ุง ุฃู†ุง ุนู…ู„ุช ู…ูŠุฒุงู†
1308
+
1309
+ 370
1310
+ 00:34:20,810 --> 00:34:27,890
1311
+ ูˆุจุฏูŠ ุฃุนู…ู„ู‡ ู…ุนุงูŠุฑุฉ ู†ุญูƒูŠ ุงู„ู…ูŠุฒุงู† ุงู„ู€ range ุจุชุงุนู‡ ู…ู†
1312
+
1313
+ 371
1314
+ 00:34:27,890 --> 00:34:30,410
1315
+ 0 ู„ 100 kilogram ุฃุฌูŠุจ ุงู„ู…ูŠุฒุงู†
1316
+
1317
+ 372
1318
+ 00:34:41,180 --> 00:34:47,960
1319
+ ุฃุฌูŠุจ ุฃูˆุฒุงู† ู…ุนูŠุงุฑูŠุฉ ูŠุนู†ูŠ ู…ุง ููŠุด ูˆุฒู† ุฎู…ุณูŠู† ูƒูŠู„ูˆ ู…ุซู„ุง ุฃูˆ
1320
+
1321
+ 373
1322
+ 00:34:47,960 --> 00:34:54,360
1323
+ ู…ุงูŠุฉ ูƒูŠู„ูˆ ุขุฎุฏ ู‚ุฑุงุกุงุช ุงู„ู„ูŠ
1324
+
1325
+ 374
1326
+ 00:34:54,360 --> 00:35:00,180
1327
+ ู‡ูˆ ุงู„ู€ true mass ุงู„ูˆุฒู† ุงู„ู„ูŠ ุจุณุชุฎุฏู…ู‡ ุจูŠุนุทูŠู‡ true
1328
+
1329
+ 375
1330
+ 00:35:00,180 --> 00:35:08,140
1331
+ mass ุตุญุŸ ูˆ ุงู„ู€ measured mass
1332
+
1333
+ 376
1334
+ 00:35:11,110 --> 00:35:18,670
1335
+ ุฃุดุบู„ ุงู„ู…ูŠุฒุงู† ุฃุดุบู„ ุงู„ู…ูŠุฒุงู† ู…ุซู„ุง ุฃุนุทุงู†ูŠ ุตูุฑ ุงู„ู€
1336
+
1337
+ 377
1338
+ 00:35:18,670 --> 00:35:22,110
1339
+ true mass ุฃู†ุง ู…ุง ููŠุด ุนู„ูŠู‡ ุฃูŠ ุดูŠุก ุตูุฑ ๏ฟฝ๏ฟฝุฑุงู‡ ุฃุนุทุงู†ูŠ ู‡ูˆ
1340
+
1341
+ 378
1342
+ 00:35:22,110 --> 00:35:30,430
1343
+ ู…ุซู„ุง point o one ุงู„ู…ูŠุฒุงู† ู‡ุฐุง ู„ุณู‡ ุฌุฏูŠุฏ ููŠ ุงู„ู…ุตู†ุน
1344
+
1345
+ 379
1346
+ 00:35:30,430 --> 00:35:34,150
1347
+ ุญุทูŠุช ุนู„ูŠู‡ ุฎู…ุณูŠู† ูƒูŠู„ูˆ
1348
+
1349
+ 380
1350
+ 00:35:41,670 --> 00:35:46,430
1351
+ ุฃุนุทุงู†ูŠ ุชุณุนุฉ ูˆ ุฃุฑุจุนูŠู† ุฃู†ุง
1352
+
1353
+ 381
1354
+ 00:35:46,430 --> 00:35:53,430
1355
+ ุจุนู…ู„ loading ุญุงู„ูŠุง ุจุนู…ู„ ุฅูŠู‡ุŸ loading ุจุทู„ุน ูุญุทูŠุช
1356
+
1357
+ 382
1358
+ 00:35:53,430 --> 00:36:00,710
1359
+ ุนู„ูŠู‡ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ ุชุณุนุฉ ูˆ ุฃุฑุจุนูŠู† ุญุทูŠุช ูƒู…ุงู† ุฎู…ุณูŠู†
1360
+
1361
+ 383
1362
+ 00:36:00,710 --> 00:36:08,430
1363
+ ู‡ูŠุดูŠุฑุฉ ูƒู…ุŸ ู…ูŠุฉ ู…ุซู„ุง ุฃุนุทุงู†ูŠ ุณุจุนุฉ ูˆ ุชุณุนูŠู†
1364
+
1365
+ 384
1366
+ 00:36:16,550 --> 00:36:24,210
1367
+ ูˆุจุนุฏูŠู† ุฎูุฉ ุดู„ุช ุงู„ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุดู„ุช ุงู„ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุตุงุฑ
1368
+
1369
+ 385
1370
+ 00:36:24,210 --> 00:36:32,770
1371
+ ุฅูŠุด ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ ู…ุซู„ุง ูˆุงุญุฏ ูˆ ุฎู…ุณูŠู† ุญุงู„ูŠุง ุจุนู…ู„
1372
+
1373
+ 386
1374
+ 00:36:32,770 --> 00:36:40,290
1375
+ unloading ุจู†ุฒู„ ุญู…ู„ ุนู†ู‡ ูˆุจุนุฏูŠู† ุดู„ุช ุงู„ุฎู…ุณูŠู†
1376
+
1377
+ 387
1378
+ 00:36:40,290 --> 00:36:52,680
1379
+ ุงู„ุชุงู†ูŠุฉ ุตุงุฑ ุงู„ุญู‚ูŠู‚ุฉ ุตูุฑ ุฃุนุทุงู†ูŠ ู…ุซู„ุง point one ุฅูŠุด
1380
+
1381
+ 388
1382
+ 00:36:52,680 --> 00:36:56,420
1383
+ ุงู„ู€ input ุนู†ุฏูŠุŸ ู‡ุงูŠ ุงู„ู€ input ุงู„ู€ input ู‡ูˆ ุงู„ุญู‚ูŠู‚ูŠ ูˆ
1384
+
1385
+ 389
1386
+ 00:36:56,420 --> 00:37:01,860
1387
+ ู‡ุฐุง ุฅูŠุดุŸ ู‡ุฐุง ุงู„ู€ output ุงู„ู…ุฌุฑุฏ ู„ุฃู† I plot ู‡ุฐุง ุงู„ู€
1388
+
1389
+ 390
1390
+ 00:37:01,860 --> 00:37:06,800
1391
+ input ูˆ
1392
+
1393
+ 391
1394
+ 00:37:06,800 --> 00:37:13,800
1395
+ ู‡ุฐุง ุฅูŠุดุŸ ุงู„ู€ output ู†ุธุฑูŠุง ุงู„ู€ input ู„ุงุฒู… ูŠูƒูˆู† ู†ูุณู‡ ุฃูˆ
1396
+
1397
+ 392
1398
+ 00:37:13,800 --> 00:37:19,260
1399
+ ุงู„ู€ output ู†ุธุฑูŠุง ุฅุฐุง ู‡ู†ุง ุญุงุทุท ุฎู…ุณูŠู† ู„ุงุฒู… ูŠุนุทูŠู†ุง ู‡ู†ุง
1400
+
1401
+ 393
1402
+ 00:37:19,260 --> 00:37:23,980
1403
+ ุฎู…ุณูŠู† ุญุงุทุท ู…ูŠุฉ ู„ุงุฒู… ูŠุนุทูŠู†ุง ู…ูŠุฉ ุงู„ุขู†
1404
+
1405
+ 394
1406
+ 00:37:23,980 --> 00:37:32,180
1407
+ I plot ู‡ู†ุง ุนู†ุฏูŠ ุงู„ู€ input ูˆู‡ู†ุง
1408
+
1409
+ 395
1410
+ 00:37:32,180 --> 00:37:34,640
1411
+ ุนู†ุฏูŠ ุงู„ู€ output
1412
+
1413
+ 396
1414
+ 00:37:42,770 --> 00:37:50,930
1415
+ ูŠุนู†ูŠ ุฃู†ุง ุญูƒูŠู†ุง ู‡ูŠ .. ู‡ูŠ ู…ูŠุฉ ู‡ูŠ ู…ูŠุฉ ู‡ูŠ ุฎู…ุณูŠู† ูˆู‡ูŠ
1416
+
1417
+ 397
1418
+ 00:37:50,930 --> 00:37:57,530
1419
+ ุตูุฑ ู„ู…ุง ูƒุงู† ุตูุฑ ุฃุนุทุงู†ูŠ ุฃูˆู„ ู‚ุฑุงุกุฉ ู‡ู†ุง ุตุญ ุนู†ุฏ
1420
+
1421
+ 398
1422
+ 00:37:57,530 --> 00:38:06,030
1423
+ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุนู†ุฏ
1424
+
1425
+ 399
1426
+ 00:38:06,030 --> 00:38:16,020
1427
+ ู…ูŠุฉ ุฃุนุทุงู†ูŠ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ููŠ ุงู„ุฑุฌูˆุน ุนู†ุฏ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ
1428
+
1429
+ 400
1430
+ 00:38:16,020 --> 00:38:23,540
1431
+ ุงู„ูˆุงุญุฏ ูˆ ุฎู…ุณูŠู† ูˆุจุนุฏูŠู† ุฃุนุทุงู†ูŠ ู‚ูŠู…ุฉ ู‡ู†ุง ูุตุงุฑ ู‡ูˆ ุฃู†ุง
1432
+
1433
+ 401
1434
+ 00:38:23,540 --> 00:38:32,060
1435
+ ู‡ุฏู ุงู„ู€ loading ูƒุงู† ุฒูŠ ู‡ูŠูƒ ูุงู„ู€ unloading ุตุงุฑ ุฒูŠ ู‡ูŠูƒ
1436
+
1437
+ 402
1438
+ 00:38:37,170 --> 00:38:39,310
1439
+ ู…ูุฑูˆุถ ู†ูุณ ุงู„ูˆุฒู†ุŒ ุงู„ู…ูุฑูˆุถ ู†ูุณ ู†ุณุจุฉ ุงู„ุฎุทุฃ ุฃูˆ ู†ูุณ
1440
+
1441
+ 403
1442
+ 00:38:39,310 --> 00:38:41,310
1443
+ ุงู„ู€ .. ุฃู†ุง ุนู†ุฏูŠ ู‡ู†ุง ุฌูˆู‡ ุงู„ุฌู‡ุงุฒ ููŠ ุงู„ู€ design
1444
+
1445
+ 404
1446
+ 00:38:41,310 --> 00:38:45,350
1447
+ ุงู„ุฌู‡ุงุฒ ุจูŠูƒูˆู† ููŠู‡ strain gauges ุฃูˆ four cells ุนู†ุฏูŠ four
1448
+
1449
+ 405
1450
+ 00:38:45,350 --> 00:38:52,13
1451
+
1452
+ 445
1453
+ 00:42:33,750 --> 00:42:40,210
1454
+ ุจูŠุญุงูˆู„ ูŠุนุทูŠ ุงู„ู‚ุฑุงุกุงุชุŒ ูŠุนู†ูŠ ุจูŠุญุงูˆู„ ุฏุงุฆู…ุงู‹ ุจู‚ุฏุฑ ุฃุนู„ู‰
1455
+
1456
+ 446
1457
+ 00:42:40,210 --> 00:42:44,810
1458
+ ุจู‚ุฏุฑ ุฃุนู„ู‰ุŒ ู…ุซู„ุงู‹ ูˆุงุญุฏ ุจูŠู‚ุฑุฃ ู‚ุฑุงุกุฉ ู…ุคุดุฑ
1459
+
1460
+ 447
1461
+ 00:42:49,400 --> 00:42:57,140
1462
+ ู‡ุฐู‡ ุงู„ู…ุคุดุฑ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1463
+
1464
+ 448
1465
+ 00:42:57,140 --> 00:43:01,780
1466
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1467
+
1468
+ 449
1469
+ 00:43:01,780 --> 00:43:02,380
1470
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1471
+
1472
+ 450
1473
+ 00:43:02,380 --> 00:43:02,460
1474
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1475
+
1476
+ 451
1477
+ 00:43:02,460 --> 00:43:02,520
1478
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1479
+
1480
+ 452
1481
+ 00:43:02,520 --> 00:43:04,300
1482
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1483
+
1484
+ 453
1485
+ 00:43:04,300 --> 00:43:12,690
1486
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ. ู‡ุฐุง ู‡ูˆ ู…ู† error ุทุจุนุงู‹ ุฏุงุฆู…ุงู‹ ุชู‚ุฏูŠุฑ
1487
+
1488
+ 454
1489
+ 00:43:12,690 --> 00:43:16,190
1490
+ .. ุทุจุนุงู‹ ุจูŠูƒูˆู† systematic ุฅุฐุง ุฏุงุฆู…ุงู‹ ุจูŠุนุทูŠู‡ ุชู‚ุฏูŠุฑ
1491
+
1492
+ 455
1493
+ 00:43:16,190 --> 00:43:21,390
1494
+ ุฃุนู„ู‰ุŒ ุจุณ ุจูŠูƒูˆู† .. ุจูŠูƒูˆู† precision ุฅุฐุง ู‡ูˆ ูุนู„ุงู‹ ู…ุด
1495
+
1496
+ 456
1497
+ 00:43:21,390 --> 00:43:24,050
1498
+ ุฏุงุฆู…ุงู‹ ุจูŠุนุทูŠ ู†ูุณ ุงู„ุชู‚ุฏูŠุฑุŒ ู…ุฑุงุช ุจูŠุนุทูŠ ุชู‚ุฏูŠุฑ ุฃุนู„ู‰ุŒ ู…ุฑุงุช
1499
+
1500
+ 457
1501
+ 00:43:24,050 --> 00:43:27,350
1502
+ ุจูŠุนุทูŠ ุชู‚ุฏูŠุฑ ุฃู‚ู„ุŒ ุจูŠูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ precision
1503
+
1504
+ 458
1505
+ 00:43:27,350 --> 00:43:31,190
1506
+ error ู…ุด systematicุŒ ุจุณ ุฏุงุฆู…ุงู‹ ุฅุฐุง ุจูŠุนุทูŠ ุฏุงุฆู…ุงู‹ ู‚ูŠู…ุฉ
1507
+
1508
+ 459
1509
+ 00:43:31,190 --> 00:43:34,710
1510
+ ุฃุนู„ู‰ุŒ ุฏุงุฆู…ุงู‹ ู‚ูŠู…ุฉ ุฃุนู„ู‰ ุฃูˆ ุฏุงุฆู…ุงู‹ ู‚ูŠู…ุฉ ุฃู‚ู„ุŒ ุจูŠูƒูˆู†
1511
+
1512
+ 460
1513
+ 00:43:34,710 --> 00:43:35,210
1514
+ systematic
1515
+
1516
+ 461
1517
+ 00:43:39,400 --> 00:43:44,760
1518
+ the equipment itselfุŒ ุงู„ู…ุนุฏุงุช may introduce built-in
1519
+
1520
+ 462
1521
+ 00:43:44,760 --> 00:43:51,400
1522
+ errorsุŒ ู…ู…ูƒู† ูŠุนุทูŠ ุงู„ุฌู‡ุงุฒ ุฎุทุฃ ู†ุชูŠุฌุฉ ุฃู†ู‘ู‡ ๏ฟฝ๏ฟฝูŠ ุฎุทุฃ ููŠ
1523
+
1524
+ 463
1525
+ 00:43:51,400 --> 00:43:56,800
1526
+ ุงู„ู€design ูƒุงู„ุฌู‡ุงุฒ ุฃูˆ ููŠ ุงู„ุชุตู†ูŠุน ุฃูˆ ู„ู…ุง ุงู„ุนู…ุงู„ ู„ู‡
1527
+
1528
+ 464
1529
+ 00:43:56,800 --> 00:44:00,840
1530
+ ุงู„ุตูŠุงู†ุฉ ู…ุง ุฑุฌุนุด ุฒูŠ ู…ุง ูƒุงู†ุŒ ุงู„ุนู…ุงู„ ู„ู‡ ุงู„ุตูŠุงู†ุฉ ู…ุง ู…ุดูŠุด
1531
+
1532
+ 465
1533
+ 00:44:00,840 --> 00:44:03,440
1534
+ ุนู„ู‰ ุงู„ู€ protocol ุจุชุงุน ุงู„ู…ุตู†ุนุŒ ุตุญ
1535
+
1536
+ 466
1537
+ 00:44:10,320 --> 00:44:17,580
1538
+ ุงู„ู€ equipment ุงู„ู„ูŠ ู‡ูŠ built-in error ู…ู…ูƒู† ุชูƒูˆู† ู†ุงุฌุญุฉ
1539
+
1540
+ 467
1541
+ 00:44:17,580 --> 00:44:21,280
1542
+ such errors result from defective mechanical or
1543
+
1544
+ 468
1545
+ 00:44:21,280 --> 00:44:24,400
1546
+ electrical componentsุŒ incorrect scale graduations
1547
+
1548
+ 469
1549
+ 00:44:24,400 --> 00:44:30,120
1550
+ and so forthุŒ ู…ู…ูƒู† ุชูƒูˆู† ููŠ ุฎุทุฃ ููŠ ุงู„ู‚ุทุน
1551
+
1552
+ 470
1553
+ 00:44:30,120 --> 00:44:33,380
1554
+ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุฃูˆ ุงู„ูƒู‡ุฑุจุงุฆูŠุฉุŒ ุชูƒูˆู† defectiveุŒ ููŠู‡ุง ู…ุดุงูƒู„
1555
+
1556
+ 471
1557
+ 00:44:33,380 --> 00:44:38,840
1558
+ ุฃูˆ ุงู„ุชุฏุฑุฌุงุช ุชุงุนุชู‡ุง ู…ุด ุฏู‚ูŠู‚ุฉุŒ ูˆู‡ูƒุฐุง
1559
+
1560
+ 472
1561
+ 00:44:42,130 --> 00:44:45,630
1562
+ errors of this typeุŒ ุงู„ู„ูŠ ุฎุทุฃ ู…ู† ู‡ุฐุง ุงู„ู†ูˆุนุŒ ุงู„
1563
+
1564
+ 473
1565
+ 00:44:45,630 --> 00:44:50,070
1566
+ comment error are often consistent in signุŒ ุฏุงุฆู…ุงู‹
1567
+
1568
+ 474
1569
+ 00:44:50,070 --> 00:44:55,890
1570
+ ูŠุง ุจูŠูƒูˆู† ู…ูˆุฌุจุŒ ูŠุง ุฏุงุฆู…ุงู‹ ุจูŠูƒูˆู† ุณุงู„ุจุŒ ู‚ูŠู…ุชู‡ุง ุชู‚ุฑูŠุจุงู‹
1571
+
1572
+ 475
1573
+ 00:44:55,890 --> 00:45:02,770
1574
+ ุชูƒูˆู† ุฏุงุฆู…ุงู‹ ุซุงุจุชุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุฃุนุชุจุฑู‡ุง ุฃูˆ ุจุฃุนุชุจุฑู‡ุง
1575
+
1576
+ 476
1577
+ 00:45:02,770 --> 00:45:07,550
1578
+ systematic ุฃูˆ bias errorsุŒ ูˆูŠู…ูƒู† ู…ุนุงู„ุฌุชู‡ุง ู…ู† ุฎู„ุงู„
1579
+
1580
+ 477
1581
+ 00:45:07,550 --> 00:45:09,470
1582
+ ุฅุนุงุฏุฉ ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ
1583
+
1584
+ 478
1585
+ 00:45:15,370 --> 00:45:22,470
1586
+ ุงู„ู€ loading errorุŒ ุงู„
1587
+
1588
+ 479
1589
+ 00:45:22,470 --> 00:45:25,630
1590
+ loading errorุŒ it refers to the influence of
1591
+
1592
+ 480
1593
+ 00:45:25,630 --> 00:45:28,610
1594
+ measurement procedure on the system being tested
1595
+
1596
+ 481
1597
+ 00:45:28,610 --> 00:45:33,730
1598
+ ุงู„ู€ loading error ุจูŠุนุชู…ุฏ ู‡ูˆ ุงู„ู€ error ุงู„ู†ุงุชุฌ ุนู†
1599
+
1600
+ 482
1601
+ 00:45:33,730 --> 00:45:40,790
1602
+ ุชุฃุซูŠุฑ ุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณุŒ ุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰
1603
+
1604
+ 483
1605
+ 00:45:40,790 --> 00:45:49,070
1606
+ ุงู„ู†ุชูŠุฌุฉุŒ ุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉุŒ ูŠุนู†ูŠ
1607
+
1608
+ 484
1609
+ 00:45:49,070 --> 00:45:55,490
1610
+ ู…ู…ูƒู†
1611
+
1612
+ 485
1613
+ 00:45:55,490 --> 00:46:02,350
1614
+ ุญุฏุง ุญุงุฌุฉ ุจุฏู‡ ูŠู‚ูŠุณ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุฃู†ุจูˆุจ ููŠู‡ ู…ุงุดูŠ fluid
1615
+
1616
+ 486
1617
+ 00:46:02,350 --> 00:46:04,670
1618
+ ูˆุจุฏู‡ ูŠู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
1619
+
1620
+ 487
1621
+ 00:46:08,120 --> 00:46:13,980
1622
+ ู…ู…ูƒู† ุญุฏุง ูŠุญุท ุงู„ู€ sensor ูŠุญุทู‡ .. ูŠุญุทู‡ ู‡ู†ุง ุงู„ู€ sensor
1623
+
1624
+ 488
1625
+ 00:46:13,980 --> 00:46:23,360
1626
+ ู‡ุงูŠ ุญุงู„ุฉุŒ ุญุงู„ุฉ ุชุงู†ูŠุฉุŒ ุญุฏุง ูŠุญุท ุงู„ู€ sensor ููŠ ุงู„ู†ุต
1627
+
1628
+ 489
1629
+ 00:46:23,360 --> 00:46:30,360
1630
+ ูุทุฑูŠู‚ุฉ
1631
+
1632
+ 490
1633
+ 00:46:30,360 --> 00:46:35,480
1634
+ ูˆุถุน ุงู„ู€ sensor ุจุชุฃุซุฑ ุนู„ู‰ ุฅูŠุดุŸ ุงู„ู‚ุฑุงุกุฉ ุจุชุฃุซุฑ ุนู„ู‰
1635
+
1636
+ 491
1637
+ 00:46:35,480 --> 00:46:36,960
1638
+ ุงู„ู‚ุฑุงุกุฉ
1639
+
1640
+ 492
1641
+ 00:46:42,530 --> 00:46:47,490
1642
+ ู…ุซู„ุงู‹ ุจุฏูŠ ุฃู‚ูŠุณ ุงู„ู€ flow meterุŒ ุงู„ู€ flow ุชุฏูู‚ ููŠ ุฃู†ุจูˆุจ
1643
+
1644
+ 493
1645
+ 00:46:47,490 --> 00:47:04,830
1646
+ ุนุดุงู† ุฃู‚ูŠุณ ุงู„ุฏูู‚ ู…ู…ูƒู† ุฃุถุทุฑ ุฃุนู…ู„ ุดูŠุก ุฒูŠ ู‡ูŠูƒุŒ ุฃุญุท
1647
+
1648
+ 494
1649
+ 00:47:04,830 --> 00:47:05,510
1650
+ ุณุงุนุฉ ุถุบุท
1651
+
1652
+ 495
1653
+ 00:47:16,030 --> 00:47:22,390
1654
+ ุงู„ุขู†ุŒ ูˆูŠู† ุฃุญุท ู‡ุฐู‡ุŸ ูˆูŠู† ุฃุญุท ู‡ุฐู‡ุŸ ุจุฑุถู‡ ุฅูŠุด ู…ู‡ู… ุชูุงุตูŠู„
1655
+
1656
+ 496
1657
+ 00:47:22,390 --> 00:47:25,730
1658
+ ุงู„ุฒูˆุงูŠุง ูˆุงู„ุฃู‚ุทุงุฑุŒ ุจุฑุถู‡ ุฅูŠุด ู…ู‡ู…ุŸ ูŠุนู†ูŠ ุทุฑูŠู‚ุฉ ูˆุถุน
1659
+
1660
+ 497
1661
+ 00:47:25,730 --> 00:47:29,950
1662
+ ุงู„ุฌู‡ุงุฒ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„ู‚ุฑุงุกุฉุŒ ู…ุซุงู„ ุซุงู†ูŠ ู„ูˆ ุจุฏุฃุช ุฃุญุท
1663
+
1664
+ 498
1665
+ 00:47:29,950 --> 00:47:38,650
1666
+ mic ุฃูˆ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ sound pressure level ุงู„ู„ูŠ ู‡ูˆ
1667
+
1668
+ 499
1669
+ 00:47:38,650 --> 00:47:44,830
1670
+ ุงู„ุดุฏุฉ ุงู„ุตูˆุชูŠุฉ ุฃูˆ ุถุบุท ุงู„ุตูˆุชุŒ ุญุทูŠุช ุฃู†ุง ุฌู‡ุงุฒ ู‡ู†ุงุŒ ุญุทูŠุช
1671
+
1672
+ 500
1673
+ 00:47:44,830 --> 00:47:49,570
1674
+ ุฌู‡ุงุฒุŒ ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉุŒ ุจุณ ูˆุฌูˆุฏู‡ ู‡ู†ุงุŒ ูˆุฌูˆุฏ ุงู„ุฌู‡ุงุฒ ุงู„ูƒุจูŠุฑ
1675
+
1676
+ 501
1677
+ 00:47:49,570 --> 00:47:54,730
1678
+ ู…ุซู„ุงู‹ุŒ ุฅูŠุด ู‡ูŠุฃุซุฑุŸ ุงู„ุตูˆุช ุนุจุงุฑุฉ ุนู† ู…ูˆุฌุฉ ุฅูŠุดุŸ ู…ูŠูƒุงู†ูŠูƒูŠุฉ
1679
+
1680
+ 502
1681
+ 00:47:54,730 --> 00:48:02,190
1682
+ ู…ุนู†ุงุชู‡ ู‡ู†ุง ุตุงุฑ disturbance ู„ู„ู…ูˆุฌุฉ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ
1683
+
1684
+ 503
1685
+ 00:48:02,190 --> 00:48:05,670
1686
+ ู…ุนู†ุงุชู‡ ู‡ูˆ ูุนู„ุงู‹ ูˆุฌูˆุฏู‡ ููŠ ุงู„ู…ูƒุงู† ู‡ุฐุง ู…ุง ุฃุนุทุงู†ูŠุด ุฃุซุฑ
1687
+
1688
+ 504
1689
+ 00:48:05,670 --> 00:48:09,630
1690
+ ุนู„ู‰ ุงู„ู‚ุฑุงุกุฉุŒ ู…ุง ุฃุนุทุงู†ูŠุด ู‚ุฑุงุกุฉ ุญู‚ูŠู‚ูŠุฉ ู„ู€ .. ู„ู€ .. ู„ู€
1691
+
1692
+ 505
1693
+ 00:48:09,630 --> 00:48:15,320
1694
+ sound pressure levelุŒ ู‡ุฐุง ูŠุณู…ู‰ loading errorุŒ ุงู„ุขู†
1695
+
1696
+ 506
1697
+ 00:48:15,320 --> 00:48:17,560
1698
+ minimizing the influence of the measuring
1699
+
1700
+ 507
1701
+ 00:48:17,560 --> 00:48:20,560
1702
+ instrument on a measured variable is a major
1703
+
1704
+ 508
1705
+ 00:48:20,560 --> 00:48:25,020
1706
+ objective in designing an experimentุŒ ูŠุนู†ูŠ ุฃุญุฏ
1707
+
1708
+ 509
1709
+ 00:48:25,020 --> 00:48:32,640
1710
+ ุฃู‡ุฏุงู ุชุตู…ูŠู… ุงู„ุชุฌุงุฑุจ ุฃู†ู‘ู‡ ุฃู‚ู„ู„ ุชุฃุซูŠุฑ ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู…
1711
+
1712
+ 510
1713
+ 00:48:32,640 --> 00:48:39,550
1714
+ ููŠ ุงู„ู‚ูŠุงุณ ุนู„ู‰ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุงุŒ ูŠุนู†ูŠ ุจุฏูŠ ุฃุญุท ุงู„ู€
1715
+
1716
+ 511
1717
+ 00:48:39,550 --> 00:48:44,810
1718
+ sensor ููŠ ู…ูƒุงู† ู…ู†ุงุณุจ ุจุญูŠุซ ู…ุง ูŠุนุทูŠู†ูŠุด ุชุฃุซูŠุฑ ุณู„ุจูŠ ุนู„ู‰
1719
+
1720
+ 512
1721
+ 00:48:44,810 --> 00:48:46,450
1722
+ ุฏู‚ุฉ ุงู„ู‚ุฑุงุกุฉ
1723
+
1724
+ 513
1725
+ 00:49:00,820 --> 00:49:03,880
1726
+ variations in the actual quantity being measured
1727
+
1728
+ 514
1729
+ 00:49:03,880 --> 00:49:08,800
1730
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงุฎุชู„ุงูุงุช ููŠ ุงู„ูƒู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู…ุฑุงุฏ
1731
+
1732
+ 515
1733
+ 00:49:08,800 --> 00:49:13,100
1734
+ ู‚ูŠุงุณู‡ุงุŒ may also appear as a precision errorุŒ ู…ู…ูƒู†
1735
+
1736
+ 516
1737
+ 00:49:13,100 --> 00:49:18,740
1738
+ ุชุธู‡ุฑ ุนู„ู‰ ุดูƒู„ precision ุฃูˆ random errorุŒ sometimes
1739
+
1740
+ 517
1741
+ 00:49:18,740 --> 00:49:21,580
1742
+ these variations are a result of experimental
1743
+
1744
+ 518
1745
+ 00:49:21,580 --> 00:49:27,720
1746
+ designุŒ ู‡ุฐู‡ ุงู„ุงุฎุชู„ุงูุงุช ููŠ ุงู„ู‚ุฑุงุกุงุช ู†ุชูŠุฌุฉ ุชุตู…ูŠู…
1747
+
1748
+ 519
1749
+ 00:49:27,720 --> 00:49:32,130
1750
+ ุงู„ุชุฌุฑุจุฉุŒ as when a system designed to run at a
1751
+
1752
+ 520
1753
+ 00:49:32,130 --> 00:49:34,670
1754
+ constant speedุŒ instead has a varying speedุŒ ูŠุนู†ูŠ
1755
+
1756
+ 521
1757
+ 00:49:34,670 --> 00:49:44,650
1758
+ ู…ู…ูƒู† ุฃู†ุง ุจุญุทู‘ .. ุญุงุทุท ุฌู‡ุงุฒุŒ ุฃุญุทู‘ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ
1759
+
1760
+ 522
1761
+ 00:49:44,650 --> 00:49:49,730
1762
+ ุงู„ุญุฑุงุฑุฉ ู…ุซู„ุงู‹ ู„ู„ู‡ูˆุงุก ุงู„ู…ุญูŠุท ููŠ ุงู„ุณูŠุงุฑุฉุŒ ุงู„ุฌู‡ุงุฒ ู…ุตู…ู…
1763
+
1764
+ 523
1765
+ 00:49:49,730 --> 00:49:54,090
1766
+ ุฃู† ุชูƒูˆู† ุงู„ุณูŠุงุฑุฉ ู…ุงุดูŠุฉ ุจุณุฑุนุฉ ุซุงุจุชุฉุŒ ู„ูƒู† ุฃูุฑุถ ุงู„ุณูŠุงุฑุฉ
1767
+
1768
+ 524
1769
+ 00:49:54,090 --> 00:49:59,450
1770
+ ุชุณุงุฑุนุชุŒ ุตุงุฑ ููŠู‡ุง ุชุณุงุฑุนุŒ ู‡ุชุนุทูŠ ู†ุชุงุฆุฌ ู…ุด ู…ุชูู‚ุฉ
1771
+
1772
+ 525
1773
+ 00:50:09,650 --> 00:50:13,590
1774
+ ุทูŠุจุŒ ุงู„ุขู†ุŒ ุงู„ู€ legitimate errors are errors that
1775
+
1776
+ 526
1777
+ 00:50:13,590 --> 00:50:17,430
1778
+ would not be expectedุŒ ุงู„ุฃุฎุทุงุก ุบูŠุฑ ุงู„ุดุฑุนูŠุฉ ู‡ูŠ ุฃุฎุทุงุก
1779
+
1780
+ 527
1781
+ 00:50:17,430 --> 00:50:25,330
1782
+ ู…ุด ู„ุงุฒู… ู†ุชูˆู‚ุนู‡ุง ุฃูˆ ู…ุด ู„ุงุฒู… ุชุตูŠุฑุŒ these include
1783
+
1784
+ 528
1785
+ 00:50:25,330 --> 00:50:32,970
1786
+ mistakesุŒ ู‡ุฐู‡ ุชุชุถู…ู† ุฃุฎุทุงุกุŒ ูŠุนู†ูŠ
1787
+
1788
+ 529
1789
+ 00:50:32,970 --> 00:50:38,150
1790
+ ู…ุซู„ุงู‹ุŒ ุจุฏู‡ุง ู…ู† ุฎู„ุงู„ ุฃู†ูŠ ุฃู†ุง ุฃูƒูˆู† ู…ู†ุชุจู‡ ุฎู„ุงู„ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉ
1791
+
1792
+ 530
1793
+ 00:50:38,150 --> 00:50:42,390
1794
+ ุฃูƒูˆู† ุญุฑูŠุตุŒ ุนุดุงู† ูƒุฏู‡ ู„ู…ุง ุฃุฌูŠ ุฃุนู…ู„ ุชุฌุฑุจุฉ ุฃูˆู„ ู…ุฑุฉ
1795
+
1796
+ 531
1797
+ 00:50:42,390 --> 00:50:49,010
1798
+ ุจุณูˆูŠู‡ุงุŒ ุจุนู…ู„ ุชุฌุฑุจุฉ ู„ูˆ ุนู„ู‰ ุงู„ุณุฑูŠุน ุนุดุงู† ุขุฎุฐ ุนู„ู‰
1799
+
1800
+ 532
1801
+ 00:50:49,010 --> 00:50:52,960
1802
+ ุงู„ุฌู‡ุงุฒุŒ ุจุดุบู„ ุงู„ุฌู‡ุงุฒุŒ ุจุฃุฎุฐ ู‚ุฑุงุกุงุชุŒ ู…ุง ุจุฃู‡ู…ุด ููŠ ุงู„ุฏู‚ุฉุŒ
1803
+
1804
+ 533
1805
+ 00:50:52,960 --> 00:50:58,100
1806
+ ุจุฃุฎุฐ ู‚ุฑุงุกุงุชุŒ ุดูˆูŠุฉ ู‚ุฑุงุกุงุชุŒ ุจุดูˆู ูƒูŠู ุงู„ุฌู‡ุงุฒ ุจูŠุณุชุฌูŠุจุŒ
1807
+
1808
+ 534
1809
+ 00:50:58,100 --> 00:51:01,320
1810
+ ูุฃู†ุง ุจุจู†ูŠ ุฎุจุฑุฉ ุฃูˆ ุจุจู†ูŠ ุนู„ุงู‚ุฉ ุจูŠู†ูŠ ูˆุจูŠู† ุงู„ุฌู‡ุงุฒ
1811
+
1812
+ 535
1813
+ 00:51:01,320 --> 00:51:04,840
1814
+ ูˆุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณุŒ ูููŠ ุงู„ุฃูˆู„ ู„ุงุฒู… ุฃู†ุง ุขุฎุฐ ู‚ุฑุงุกุงุช ุนุดุงู†
1815
+
1816
+ 536
1817
+ 00:51:04,840 --> 00:51:08,200
1818
+ ุฃุชุนูˆุฏ ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ูˆุฃุดูˆู ุงู„ุฏู‚ุฉ ุชุงุนุชู‡ ูˆูƒูŠู ุงู„ู‚ุฑุงุกุฉ
1819
+
1820
+ 537
1821
+ 00:51:08,200 --> 00:51:11,760
1822
+ ุขุฎุฐู‡ุง ุตุญ ูˆุชูุงุตูŠู„ู‡ุงุŒ ู„ุงุฒู… ุขุฎุฐู‡ุง ุนุดุงู† ู„ู…ุง ุฃุนู…ู„
1823
+
1824
+ 538
1825
+ 00:51:11,760 --> 00:51:14,940
1826
+ ุงู„ุชุฌุฑุจุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฃูƒูˆู† ุฃุนู…ู„ .. ุขุฎุฐ ุงู„ู‚ุฑุงุกุฉ ุจุดูƒู„
1827
+
1828
+ 539
1829
+ 00:51:14,940 --> 00:51:15,780
1830
+ ุตุญูŠุญ
1831
+
1832
+ 540
1833
+ 00:51:24,310 --> 00:51:29,690
1834
+ backlash and mechanical frictions are important
1835
+
1836
+ 541
1837
+ 00:51:29,690 --> 00:51:37,330
1838
+ sources of variation in measuring systemsุŒ ู…ุซู„ุงู‹
1839
+
1840
+ 542
1841
+ 00:51:37,330 --> 00:51:44,330
1842
+ ุงู„ู€ frictionุŒ ู„ูˆ ุฃุฎุฐู†ุง ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„ู€ voltุŒ ุงู„ู€
1843
+
1844
+ 543
1845
+ 00:51:44,330 --> 00:51:48,870
1846
+ galvanometerุŒ ุงู„ู€
1847
+
1848
+ 544
1849
+ 00:51:48,870 --> 00:51:57,860
1850
+ galvanometerุŒ ุจูŠูƒูˆู† ุนู†ุฏูŠุŒ ุนู†ุฏูŠ ุชุฏุฑูŠุฌ ูˆููŠู‡
1851
+
1852
+ 545
1853
+ 00:51:57,860 --> 00:52:06,380
1854
+ ุนู†ุฏูŠ ู…ุคุดุฑุŒ ู„ุฃู†
1855
+
1856
+ 546
1857
+ 00:52:06,380 --> 00:52:13,600
1858
+ ุญุทูŠุช ู‚ุณุท ุงู„ู€ voltageุŒ ููŠ voltageุŒ ุนู†ุฏูŠ ู‡ูŠู„ูุŒ ู‡ูˆ ู„ู ููŠ
1859
+
1860
+ 547
1861
+ 00:52:13,600 --> 00:52:20,080
1862
+ frictionุŒ ูˆู‚ุงู…ุฉ ุงู„ู€ frictionุŒ ุงู„ู…ูุฑูˆุถ ูŠุตู„ ู‡ู†ุง ุจุณ ูˆุตู„
1863
+
1864
+ 548
1865
+ 00:52:20,080 --> 00:52:26,450
1866
+ ู‡ู†ุงุŒ ูŠุนู†ูŠ ููŠ ุงุฎุชู„ุงูุŒ ู‡ูˆ ุฃุนุทุงู†ูŠ ููŠ ุงู„ู€ loading ู‚ุฑุงุกุฉ
1867
+
1868
+ 549
1869
+ 00:52:26,450 --> 00:52:31,950
1870
+ ุฃู‚ู„ ู…ู† ู…ุง ูŠุฌุจุŒ ู„ุฃู† ุฃูุฑุถ ุฃู†ุง ุนู…ู„ุชุŒ ุดู„ุช ู…ุตุฏุฑ ุงู„ู€ volt
1871
+
1872
+ 550
1873
+ 00:52:31,950 --> 00:52:37,990
1874
+ ุงู„ู€ volt difference ุดู„ุชู‡ุŒ ู‡ูŠุฑุฌุน ู…ุซู„ุงู‹ุŒ ู†ุญูƒูŠ ู‡ูŠุฑุฌุน ู…ุซู„ุงู‹
1875
+
1876
+ 551
1877
+ 00:52:37,990 --> 00:52:44,210
1878
+ ูƒุงู† ุงู„ู€ volt ู…ุซู„ุงู‹ 200 voltุŒ ู†ุฒู„ุชู‡ ู„ู€ 50ุŒ ู†ุฒู„ุชู‡ ู„ู€ 50
1879
+
1880
+ 552
1881
+ 00:52:44,210 --> 00:52:49,690
1882
+ ู‡ูˆู…ุฏูŠู† ู†ุญูƒูŠ 50ุŒ ู‡ูŠุฑุฌุน
1883
+
1884
+ 553
1885
+ 00:52:49,690 --> 00:52:50,130
1886
+ ู…ุซู„ุงู‹
1887
+
1888
+ 554
1889
+ 00:52:53,490 --> 00:52:57,430
1890
+ ูˆุงุญุฏ ูˆุฎู…ุณูŠู†ุŒ ู†ุชูŠุฌุฉ ุจุฑุถู‡ ููŠ ุงู„ุฑุฌุนุฉุŒ ุงู„ุงุญุชูƒุงูƒ ู…ุนู†ุงุชู‡
1891
+
1892
+ 555
1893
+ 00:52:57,430 --> 00:53:01,690
1894
+ ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ู…ู† ู…ุง ูŠุฌุจ ุฃู† ุชูƒูˆู†ุŒ ูŠุนู†ูŠ ููŠ ุงู„ู€
1895
+
1896
+ 556
1897
+ 00:53:01,690 --> 00:53:06,230
1898
+ loadingุŒ ู†ุชูŠุฌุฉ ุงู„ู€ frictionุŒ ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ุฃู‚ู„ ู…ู† ู…ุง
1899
+
1900
+ 557
1901
+ 00:53:06,230 --> 00:53:10,530
1902
+ ูŠุฌุจ ุฃู† ุชูƒูˆู†ุŒ ูุฑุฌูˆู‡ ู„ู…ุง ู†ุฒู„ุช ููŠ ุงู„ู€ decrease ุฃุนุทุงู†ูŠ
1903
+
1904
+ 558
1905
+ 00:53:10,530 --> 00:53:15,490
1906
+ ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ู…ู† ู…ุง ูŠูƒูˆู†ุŒ ุทุจุนุงู‹ ู‡ุฐู‡ ุงู„ู…ุดุงูƒู„ ู‡ุฐู‡ ู…ู…ูƒู†
1907
+
1908
+ 559
1909
+ 00:53:15,490 --> 00:53:16,410
1910
+ ุชุฌู†ุจู‡ุง
1911
+
1912
+ 560
1913
+ 00:53:18,640 --> 00:53:22,640
1914
+ ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ูˆุงู„ู€ designุŒ ุฃู†ูŠ ุฃู†ุง ุฃุนู…ู„
1915
+
1916
+ 561
1917
+ 00:53:22,640 --> 00:53:28,400
1918
+ ุงู„ุชูุงุตูŠู„ุŒ ุงู„ู€ shaftุŒ ุงู„ุนู…ูˆุฏ ุจุชุงุน ุงู„ู…ุคุดุฑุŒ ูˆุงู„ู€
1919
+
1920
+ 562
1921
+ 00:53:28,400 --> 00:53:32,140
1922
+ materialsุŒ ูˆุงู„ู€ surface finishุŒ ุจุญูŠุซ ุฃู‚ู„ู„ ุงู„ุงุญุชูƒุงูƒ
1923
+
1924
+ 563
1925
+ 00:53:32,140 --> 00:53:38,110
1926
+ ู„ุฃู‚ู„ ุฏุฑุฌุฉ ู…ู…ูƒู†ุฉุŒ ูู‡ุฐุง ุจูŠุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุฏู‡ ุฌู‡ุงุฒ ู‚ูŠุงุณ ุตู†ุน
1927
+
1928
+ 564
1929
+ 00:53:38,110 --> 00:53:44,050
1930
+ ุดุฑูƒุฉ XุŒ ู‡ุฐุง ุฌู‡ุงุฒ ุตู†ุน ุดุฑูƒุฉ YุŒ ู‡ุฐุง ุจูŠุจู‚ู‰ ุฏู‚ุฉ ุฃุนู„ู‰
1931
+
1932
+ 565
1933
+ 00:53:44,050 --> 00:53:48,110
1934
+ ู‡ุฐุง ุฃู‚ู„ุŒ ููŠู‡ ุชูุงุตูŠู„ ูู†ูŠุฉ ุจู†ุชุจู‡ ู„ู‡ุง ูˆุจูŠุญุทูˆู‡ุง ูƒู€
1935
+
1936
+ 566
1937
+ 00:53:48,110 --> 00:53:58,590
1938
+ features ููŠ ุฌู‡ุงุฒุŒ ุจุชู‚ู„ู„ ู†ุณุจุฉ ุงู„ู€ error ุจุฏุฑุฌุฉ
1939
+
1940
+ 567
1941
+ 00:53:58,590 --> 00:54:01,730
1942
+ ุฃู‚ู„ ุจูƒุซูŠุฑุŒ ุจุฏุฑุฌุฉ ุฃู‚ู„ ุจูƒุซูŠุฑ
1943
+
1944
+ 568
1945
+ 00:54:05,960 --> 00:54:11,380
1946
+ ู‡ูˆ ููŠ ุงู„ุขุฎุฑ ุทู„ุน ุงู„ุฌู‡ุงุฒ ุงู„ุฑู‚ู…ูŠุŒ ุงู„ู€ signal ุฃุณุงุณุงู‹
1947
+
1948
+ 569
1949
+ 00:54:11,380 --> 00:54:18,300
1950
+ analog signal ูˆุชู… ุชุญูˆูŠู„ู‡ุง ู„ุฅูŠุดุŸ ู„ู€ digital signalุŒ ู‡ูˆ
1951
+
1952
+ 570
1953
+ 00:54:18,300 --> 00:54:23,000
1954
+ ุฑุฌุน ู„ูƒ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุดูˆ ุงุณู…ู‡ุŸ ุงู„ู€ display ุฃูˆ
1955
+
1956
+ 571
1957
+ 00:54:23,000 --> 00:54:26,820
1958
+ ุงู„ู‚ุฑุงุกุฉ ูƒู€ digitalุŒ ุจุณ ููŠ ุงู„ุฃุณุงุณ ู‡ูŠ analog signal
1959
+
1960
+ 572
1961
+ 00:54:44,680 --> 00:54:51,660
1962
+ ุงู„ู€ driftุŒ ูŠุนู†ูŠ ุจูŠุตูŠุฑ a fluctuation ุจุทูŠุก ุฌุฏุงู‹ ู…ุน
1963
+
1964
+ 573
1965
+ 00:54:51,660 --> 00:54:56,540
1966
+ ุงู„ุฒู…ู†ุŒ ุญูˆู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ central valueุŒ ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ
1967
+
1968
+ 574
1969
+ 00:54:56,540 --> 00:54:58,460
1970
+ ุงู„ู€ noise
1971
+
1972
+ 575
1973
+ 00:55:01,410 --> 00:55:07,490
1974
+ ุงู„ู€ noiseุŒ ู‡ุงูŠ ุงู„ู€ time ู‡ุฐู‡
1975
+
1976
+ 576
1977
+ 00:55:07,490 --> 00:55:19,770
1978
+ noiseุŒ ุงู„ู€ drift ุจุชูƒูˆู†
1979
+
1980
+ 577
1981
+ 00:55:19,770 --> 00:55:23,650
1982
+ fluctuation ุนู„ู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุฃุทูˆู„
1983
+
1984
+ 578
1985
+ 00:55:30,800 --> 00:55:35,440
1986
+ ุฅุฐุง ูƒุงู† ุงู„ู€ .. ุงู„ู€ duration ุจุชุงุน ุงู„ู€ testุŒ ูุชุฑุฉ ุฒู…ู†ูŠุฉ
1987
+
1988
+ 579
1989
+ 00:55:35,440 --> 00:55:41,220
1990
+ ู„ุฅุฌุฑุงุก ุงู„ูุญุตุŒ ุทูˆูŠู„ุฉุŒ ุฅู†ู‘ุง ุฎู„ุตู†ุงู‡ุงุŒ ุฅุฐุง ูƒุงู† ูุชุฑุฉ ุงู„ูุญุต
1991
+
1992
+ 580
1993
+ 00:55:41,220 --> 00:55:45,980
1994
+ ุทูˆูŠู„ุฉ ุฌุฏุงู‹ุŒ ู…ู…ูƒู† ุงู„ุธุฑูˆู ุงู„ุจูŠุฆูŠุฉ ุชุฃุซุฑ ุนู„ู‰ ุงู„ู†ุชุงุฆุฌุŒ ูŠุนู†ูŠ
1995
+
1996
+ 581
1997
+ 00:55:45,980 --> 00:55:52,680
1998
+ ู…ุซู„ุงู‹ ููŠ ุจุนุถ ุงู„ูุญูˆุตุงุช ู…ู…ูƒู† ุชุณุชู…ุฑ ุณู†ูŠู†ุŒ ุฒูŠ ูุญุต ุงู„ู€
1999
+
2000
+ 582
2001
+ 00:55:52,680 --> 00:55:58,520
2002
+ creep testุŒ ูุญุต ุงู„ุฒุญูุŒ ุฃู†ูŠ ุฃู†ุง ุจุนุฑุถ ู…ุซู„ุงู‹ ุนูŠู†ุฉ ุจู€
2003
+
2004
+ 583
2005
+ 00:55:58,520 --> 00:56:03,340
2006
+ ุดุฏุฉุŒ ุงู„ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉุŒ ุชุญุช ุฃุซุฑ ุงู„ุญุฑุงุฑุฉ ูˆุงู„ู€
2007
+
2008
+ 584
2009
+ 00:56:03,340 --> 00:56:08,960
2010
+ loadingุŒ ู„ุญุฏ ู…ุง ุชู†ูƒุณุฑุŒ ู…ู…ูƒู† ุชู†ูƒุณุฑ ุจุฎู…ุณ ุฏู‚ุงุฆู‚ุŒ ู…ู…ูƒู†
2011
+
2012
+ 585
2013
+ 00:56:08,960 --> 00:56:12,340
2014
+ ุจุฎู…ุณ ุณู†ูŠู†ุŒ ููŠ ุฃุญุฏ ุงู„ูุญูˆุตุงุช ุงุณุชู…ุฑ ุนุดุฑ ุณู†ูŠู†ุŒ ู…ุนู†ุงุชู‡
2015
+
2016
+ 586
2017
+ 00:56:12,340 --> 00:56:18,120
2018
+ ุจูŠุฏูˆู‘ุฑู‡ุงุŒ ุจูŠุฆุฉ ุงู„ุฌูˆ ูŠูƒูˆู† ู…ูƒูŠูุŒ ุญุงูุธ ุนู„ู‰ ุงู„ุฑุทูˆุจุฉ ูˆ
2019
+
2020
+ 587
2021
+ 00:56:18,120 --> 00:56:20,740
2022
+ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุฅุฐุง ู…ุง ูƒู†ุช ู…ุญุงูุธุฉ ุนู„ู‰ ุงู„ุธุฑูˆู ููŠ ุจูŠุฆุฉ
2023
+
2024
+ 588
2025
+ 00:56:20,740 --> 00:56:23,060
2026
+ ุงู„ู…ุญูŠุทุฉุŒ ู‡ุชุทู„ุน ุงู„ู†ุชุงุฆุฌ ููŠู‡ุง ุฎู„ู„
2027
+
2028
+ 589
2029
+ 00:56:27,230 --> 00:56:32,350
2030
+ ุทูŠุจุŒ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุจู†ูƒู…ู„ุŒ ุฃุนุทูŠูƒู… ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/O89pqJ9CMJs_raw.json ADDED
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PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/O89pqJ9CMJs_raw.srt ADDED
@@ -0,0 +1,2360 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,470 --> 00:00:08,230
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,230 --> 00:00:12,470
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ chapter ุฌุฏูŠุฏ ููŠ ู…ุงุฏุฉ ุงู„ู‚ูŠุงุณุงุช
8
+
9
+ 3
10
+ 00:00:12,470 --> 00:00:17,470
11
+ ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ู†ุงุชุฌุฉ ุนู† ุงู„ุชุฌุงุฑุจ
12
+
13
+ 4
14
+ 00:00:17,470 --> 00:00:25,310
15
+ assessing and presenting experimental data ู‡ู†ุนู…ู„
16
+
17
+ 5
18
+ 00:00:25,310 --> 00:00:29,810
19
+ ูŠุนู†ูŠ ุจุนุถ ุงู„ู†ู‚ุงุท ุงู„ุฃุณุงุณูŠุฉ ุนุดุงู† ู†ู…ุดูŠ ุดูˆูŠ ุดูˆูŠ ููŠ ุงู„
20
+
21
+ 6
22
+ 00:00:29,810 --> 00:00:30,170
23
+ chapter
24
+
25
+ 7
26
+ 00:00:33,330 --> 00:00:38,050
27
+ ูŠุนู†ูŠ ุงูˆู„ ู†ู‚ุทุฉ ุงูŠ ุจูŠุงู†ุงุช ู†ุญุตู„ ุนู„ูŠู‡ุง ู…ู† ุงูŠ ุชุฌุฑุจุฉ ู‚ุจู„
28
+
29
+ 8
30
+ 00:00:38,050 --> 00:00:44,210
31
+ ู…ุง ู†ุจุฏุฃ ู†ุณุชุฎุฏู…ู‡ุง ูˆ ู†ุณุชููŠุฏ ู…ู†ู‡ุง ู„ุงุฒู… ู†ูุญุต ุฌูˆุฏุชู‡ุง
32
+
33
+ 9
34
+ 00:00:44,210 --> 00:00:49,670
35
+ ู†ุชุฃูƒุฏ ุงู†ู‡ ุงู„ุจูŠุงู†ุงุช ูุนู„ุง ุฌูŠุฏุฉ ู…ุฃุฎูˆุฐุฉ ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ
36
+
37
+ 10
38
+ 00:00:49,670 --> 00:00:55,970
39
+ ูˆุฌู…ุนุช ุจุทุฑูŠู‚ุฉ ุตุญูŠุญุฉ ุจุดูƒู„ ุนุงู… ุงู†ุง ุจุงุฎุฏ ู‚ูŠุงุณุงุช ู„ุงู†ู‡
40
+
41
+ 11
42
+ 00:00:55,970 --> 00:01:00,270
43
+ ุจุฏูŠ ุงุดูŠ ุญู‚ูŠู‚ูŠ ุนุดุงู† ุงู†ูƒ ู…ุด ู„ุงุฒู… ุงู‚ุงุฑู† ุงู„ .. ุงู„ูƒู…ูŠุงุช
44
+
45
+ 12
46
+ 00:01:00,270 --> 00:01:06,850
47
+ ุงู„ู…ู‚ุงุณุฉ ู…ุนุงู„ .. ุงู„ .. ุงู„ุญุณุงุจุงุช ุงู„ู†ุธุฑูŠุฉ ุงู„ุฎุทุฃ ููŠ
48
+
49
+ 13
50
+ 00:01:06,850 --> 00:01:13,490
51
+ ุงู„ู‚ูŠุงุณ ุจุณุชูˆู‰ ุงู„ูุฑู‚ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ ู†ุงู‚ุต ุงู„ูƒู…ูŠุฉ
52
+
53
+ 14
54
+ 00:01:13,490 --> 00:01:18,950
55
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุทูŠุจ
56
+
57
+ 15
58
+ 00:01:25,210 --> 00:01:29,230
59
+ error cannot be calculated exactly unless we know
60
+
61
+ 16
62
+ 00:01:29,230 --> 00:01:33,610
63
+ true value of the quantity being measured ุงู„ุฎุทุฃ ู„ุง
64
+
65
+ 17
66
+ 00:01:33,610 --> 00:01:39,210
67
+ ูŠู…ูƒู† ุญุณุงุจู‡ ุจุดูƒู„ ุฏู‚ูŠู‚ ุฅู„ุง ุฅุฐุง ูƒู†ุง ุนุฑูู†ุง ุงู„ู‚ูŠู…ุฉ
68
+
69
+ 18
70
+ 00:01:39,210 --> 00:01:42,090
71
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ูƒู…ูŠุฉ ุงู„ู„ูŠ ุชู… ู‚ูŠุงุณู‡ุง
72
+
73
+ 19
74
+ 00:01:44,940 --> 00:01:49,040
75
+ ูˆุนุดุงู† ู†ุนุฑู ุงู„ูƒูŠู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงูˆ ุงู„ูƒูŠู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
76
+
77
+ 20
78
+ 00:01:49,040 --> 00:01:57,120
79
+ ู„ู„ุงุดูŠ ุงู„ู„ูŠ ุชู… ู‚ูŠุงุณู‡ ู„ุงุฒู… ููŠ ุงู„ุฃูˆู„ ุงู‚ูŠุตู‡ ูƒู„ ุนู…ู„ูŠุฉ
80
+
81
+ 21
82
+ 00:01:57,120 --> 00:02:05,060
83
+ ู‚ูŠุงุณ ููŠู‡ุง ู†ุณุจุฉ ุฎุทุฃ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงุญู†ุง
84
+
85
+ 22
86
+ 00:02:05,060 --> 00:02:09,350
87
+ ู…ุด ู‡ู†ุนุฑูู‡ุงู…ูŠุฉ ูู‰ ุงู„ู…ูŠุฉ ู…ุด ู‡ู†ูƒูˆู† ุนุงุฑููŠู† ุงู„ู‚ูŠู…ุฉ
88
+
89
+ 23
90
+ 00:02:09,350 --> 00:02:14,610
91
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ .. ู„ู„ุงุดูŠ ุงู„ู„ู‰ ู‚ุตุชู‡ ุจุณ ุงู†ุง ู‚ุตุช ุทูˆู„ ู‚ุทุนุฉ
92
+
93
+ 24
94
+ 00:02:14,610 --> 00:02:20,270
95
+ ู…ุนูŠู†ุฉ ุทูˆู„ู‡ุง ุทูˆู„ ู…ุนูŠู† ุงู„ุฎุทุฃ ุงุญู†ุง ู†ุนูƒุณู‡ ูŠุนู†ูŠ ุงู„ูุฑู‚
96
+
97
+ 25
98
+ 00:02:20,270 --> 00:02:23,930
99
+ ุจูŠู† ุงู„ูƒูŠู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ ูˆ ุงู„ูƒูŠู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ูƒูŠู…ูŠุฉ
100
+
101
+ 26
102
+ 00:02:23,930 --> 00:02:27,570
103
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู†ุง ู…ุด ุนุงุฑูู‡ุง ุงู†ุง ู…ุด ุนุงุฑูู‡ุง ู„ุงู† ุงู„ูƒูŠู…ูŠุฉ
104
+
105
+ 27
106
+ 00:02:27,570 --> 00:02:30,350
107
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุจู†ูŠุช ุฃุณุงุณุง ุนู„ู‰ standard ูˆ ุงู„ standard
108
+
109
+ 28
110
+ 00:02:30,350 --> 00:02:33,870
111
+ ุจุฑุถู‡ ููŠู‡ ู†ุณุจุฉ ุฎุทุฃ ูˆุจุงู„ุชุงู„ูŠ ู…ูŠุฉ ูู‰ ุงู„ู…ูŠุฉ ุงู†ุง ู…ุงูƒู†ุด
112
+
113
+ 29
114
+ 00:02:33,870 --> 00:02:38,530
115
+ ุนุงุฑู ุงู„ูƒูŠู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉูˆุจุงู„ุชุงู„ูŠ ู…ุด ู‡ู†ุนุฑู .. ู…ุด ู‡ู†ู‚ุฏุฑ
116
+
117
+ 30
118
+ 00:02:38,530 --> 00:02:46,610
119
+ ู†ุนุฑู ุงู„ุฎุทุฃ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู„ูƒู† ู†ุณุจุฉ ุงู„ุฎุทุฃ ู…ู…ูƒู† ูŠุชู…
120
+
121
+ 31
122
+ 00:02:46,610 --> 00:02:51,330
123
+ ุชู‚ุฏูŠุฑู‡ุง .. ูŠู…ูƒู† ูŠุชู… ุชู‚ุฏูŠุฑู‡ุง ุจุงุณุชุฎุฏุงู… ุงู„ูˆุณุงุฆู„
124
+
125
+ 32
126
+ 00:02:51,330 --> 00:02:55,870
127
+ ุงู„ุฅุญุตุงุฆูŠุฉ ุฅุฐุง ุชุนูุฑ ุนู†ุฏูŠ ูƒุงู… ูƒุงููŠ ู…ู† ุงู„ุจูŠุงู†ุงุช ูŠุนู†ูŠ
128
+
129
+ 33
130
+ 00:02:55,870 --> 00:03:00,670
131
+ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ู„ุฃู† ููŠ ุชู‚ุฏูŠุฑ ูˆ ุญุณุงุจ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ
132
+
133
+ 34
134
+ 00:03:00,670 --> 00:03:06,020
135
+ ู…ุฎุชู„ูุฉ ุนู† ุจุนุถูŠุชู… ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ุจุงุณุชุฎุฏุงู… ุงู„ุฃุฏูˆุงุช
136
+
137
+ 35
138
+ 00:03:06,020 --> 00:03:14,000
139
+ ุงู„ุฅุญุตุงุฆูŠุฉ ู…ุน ุชูˆูุฑ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ุจูŠุงู†ุงุช ุงู„
140
+
141
+ 36
142
+ 00:03:14,000 --> 00:03:17,920
143
+ experimentalist ุงู„ู„ูŠ ู‡ูˆ ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ
144
+
145
+ 37
146
+ 00:03:17,920 --> 00:03:24,200
147
+ ู„ุงุฒู… ูŠุญุท ููŠ ุจุงู„ู‡ ุนุดุงู†
148
+
149
+ 38
150
+ 00:03:24,200 --> 00:03:30,310
151
+ ูŠุนุฑู ุงู„ุฃุฎุทุงุก ุงู„ู…ุญุชู…ู„ุฉูˆ ู‚ูŠู…ู‡ุง ู„ุงุฒู… ูŠุญุท ุจุงู„ู‡ .. ุงูˆ
152
+
153
+ 39
154
+ 00:03:30,310 --> 00:03:34,810
155
+ ู„ุงุฒู… ูŠูƒูˆู† .. ูŠุนู†ูŠ ูŠูƒูˆู† ุนู†ุฏู‡ ู…ุนุฑูุฉ ูƒุงููŠุฉ ูƒูŠู ุงู„ุฌู‡ุงุฒ
156
+
157
+ 40
158
+ 00:03:34,810 --> 00:03:37,950
159
+ ุจูŠุดุชุบู„ .. ูƒูŠู ุงู„ุฌู‡ุงุฒ ุจูŠุดุชุบู„ ูŠูู‡ู… .. ูุงู‡ู… ุงู„ุฌู‡ุงุฒ
160
+
161
+ 41
162
+ 00:03:37,950 --> 00:03:43,770
163
+ ูƒูŠู ุจูŠุดุชุบู„ ูˆ ูƒูŠู ุชู… ู…ุนุงูŠุงุฑุชู‡ ุฅุฐุง ุฃูู‡ู… ูƒูŠู ุงู„ุฌู‡ุงุฒ
164
+
165
+ 42
166
+ 00:03:43,770 --> 00:03:48,750
167
+ ุจูŠุดุชุบู„ ูˆ ูƒูŠู ุชู… ู…ุนุงูŠุงุฑุชู‡ ู…ู…ูƒู† ุฃู†ุง ุฃูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰
168
+
169
+ 43
170
+ 00:03:48,750 --> 00:03:53,590
171
+ ูŠุนู†ูŠ ุฃุนุฑู ุฃุญุฏุฏ ุงู„ุฃุฎุทุงุก ุงู„ู…ุญุชู…ู„ุฉ ูˆ ู‚ูŠู…ู‡ุง
172
+
173
+ 44
174
+ 00:03:58,090 --> 00:04:01,110
175
+ ุงู„ error in measuring a quantity X ุงู„ุฎุทุฃ ููŠ ู‚ูŠุงุณ
176
+
177
+ 45
178
+ 00:04:01,110 --> 00:04:06,970
179
+ ูƒู…ูŠุฉ X ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ูุฑู‚ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู…ู‚ุงุณุฉ
180
+
181
+ 46
182
+ 00:04:06,970 --> 00:04:10,050
183
+ measured value ูˆุงู„ true value ูŠุนู†ูŠ ุงู„ error ุจูŠุณุชูˆู‰
184
+
185
+ 47
186
+ 00:04:10,050 --> 00:04:16,150
187
+ epsilon X measured minus X true ู‡ุฏู ุฑุฆูŠุณูŠ ููŠ ุชุตู…ูŠู…
188
+
189
+ 48
190
+ 00:04:16,150 --> 00:04:24,250
191
+ ูˆุชู†ููŠุฐ ุงู„ุชุฌุงุฑุจ ุงู† ู†ู‚ู„ู„ ุงูŠุด ุงู„ุฎุทุฃ ุงูˆ ุงู„ error ุงู„ุงู†
192
+
193
+ 49
194
+ 00:04:24,250 --> 00:04:29,890
195
+ ุจุนุฏ ุงู†ุชู‡ุงุก ุงู„ุชุฌุฑุจุฉwe must estimate a bound in
196
+
197
+ 50
198
+ 00:04:29,890 --> 00:04:34,410
199
+ error with some level of confidence ูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู†
200
+
201
+ 51
202
+ 00:04:34,410 --> 00:04:39,530
203
+ ุงู†ุง ุนู†ุฏูŠ ุจุฏูŠ ุงุนู…ู„ ุชู‚ุฏูŠุฑ ู„ู„ error ุจุญูŠุซ ุงู†ุง ุจุญูƒูŠ
204
+
205
+ 52
206
+ 00:04:39,530 --> 00:04:44,230
207
+ ูˆุงู„ู„ู‡ ุงู„ error ุจุฏูŠ ูŠูƒูˆู† ู…ุญุตูˆุฑ ุจูŠู† ู‚ูŠู…ุฉ ู‚ูŠู…ุฉ ุนู„ูŠู‡ ูˆ
208
+
209
+ 53
210
+ 00:04:44,230 --> 00:04:50,830
211
+ ู‚ูŠู…ุฉ ุงู„ุฏู†ูŠุง ูŠุนู†ูŠ ู…ุซู„ุง ู‡ุงูŠ ุงู„ mean value ู‡ุฏ ุงู„ mean
212
+
213
+ 54
214
+ 00:04:50,830 --> 00:04:56,790
215
+ value ู‡ุง
216
+
217
+ 55
218
+ 00:04:56,790 --> 00:05:02,870
219
+ ุนู†ุฏูŠupper bound ู‚ูŠู…ุฉ
220
+
221
+ 56
222
+ 00:05:02,870 --> 00:05:10,290
223
+ ุนุงู„ูŠุฉ ูˆ lower bound
224
+
225
+ 57
226
+ 00:05:10,290 --> 00:05:18,730
227
+ ู‚ูŠู…ุฉ ุตูุฑ ูŠุนู†ูŠ ู…ุด ู„ุงุฒู… ู…ุด ู„ุงุฒู… ุชุทู„ุน ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ
228
+
229
+ 58
230
+ 00:05:18,730 --> 00:05:23,590
231
+ ุนู† ุงู„ range ู‡ุฐุง ู…ุด ู„ุงุฒู… ุชุทู„ุน ุนู† ุงู„ range ู‡ุฐุง ู„ูˆ
232
+
233
+ 59
234
+ 00:05:23,590 --> 00:05:27,610
235
+ ุญูƒูŠุช ุงู„ุจุนุฏ ูŠุนู†ูŠ plus you
236
+
237
+ 60
238
+ 00:05:30,480 --> 00:05:36,800
239
+ ู‡ู†ุง minus U ูˆ ุงุญู†ุง ู†ุญูƒูŠ ู‡ุฐุง ุงู„ mean value ู†ุญูƒูŠ ู‡ุฐุง
240
+
241
+ 61
242
+ 00:05:36,800 --> 00:05:41,820
243
+ ุงูˆ ู†ุญูƒูŠ ู‡ุฐุง ุงู„ error ุฃุฎุฏ ู‚ุฑุงุกุฉ ูˆ ุทู„ุนุช item ุงุชู‡ุง
244
+
245
+ 62
246
+ 00:05:41,820 --> 00:05:50,480
247
+ ู‡ุฐูŠ X measured ู‡ุฐูŠ X true ู‡ุฐุง ู‡ูƒู†ุงุด ุงู„ error ุงู„
248
+
249
+ 63
250
+ 00:05:50,480 --> 00:06:00,840
251
+ error ู‡ูƒูˆู† XM minus X true ุงู„ errorู…ุด ู„ุงุฒู… ูŠูƒูˆู†
252
+
253
+ 64
254
+ 00:06:00,840 --> 00:06:09,180
255
+ ุงูƒุจุฑ ู„ุงุฒู… ูŠูƒูˆู† ุงุตุบุฑ ุงูˆ ูŠุณุงูˆูŠ ุงู„ upper bound ูˆ ุงูƒุจุฑ
256
+
257
+ 65
258
+ 00:06:09,180 --> 00:06:14,120
259
+ ุงูˆ ูŠุณุงูˆูŠ ุงู„ minus ูŠุนู†ูŠ ู„ุงุฒู… ูŠูƒูˆู† ู…ุญุตูˆุฑ ููŠ ุงู„ู…ู†ุทู‚ุฉ
260
+
261
+ 66
262
+ 00:06:14,120 --> 00:06:17,520
263
+ ู‡ุฐู‡ ู†ุณุจุฉ ุงู„ุฎุทุฃ
264
+
265
+ 67
266
+ 00:06:27,700 --> 00:06:31,280
267
+ ุงู„ู€ error ุงุญู†ุง ุญูƒูŠู†ุงู‡ ูŠุณุงูˆูŠ ูŠุนู†ูŠ ู„ูˆ ุนูˆุถู†ุง ู‡ู†ุง ุญุณูŠุจ
268
+
269
+ 68
270
+ 00:06:31,280 --> 00:06:38,860
271
+ ุงู† ุงู†ุง ุนูˆุถุช ุนู† E ุจ X M minus X true ู‡ุชูƒูˆู† ุงูƒุจุฑ ุงูˆ
272
+
273
+ 69
274
+ 00:06:38,860 --> 00:06:45,740
275
+ ูŠุณุงูˆูŠ U ุงูˆ ุงูƒุจุฑ ุงูˆ ูŠุณุงูˆูŠ minus U
276
+
277
+ 70
278
+ 00:06:56,560 --> 00:07:04,900
279
+ ู„ูˆ ุถูุช ุนู„ู‰ ุงู„ุชู„ุช ุฃุทุฑุงู minus xm ูŠุนู†ูŠ ู‡ู†ุง ู‡ุญูƒูŠ
280
+
281
+ 71
282
+ 00:07:04,900 --> 00:07:19,840
283
+ minus xm measured ู‡ูƒูˆู† ุนู†ุฏู‰ minus xm minus u ุฃูƒุจุฑ
284
+
285
+ 72
286
+ 00:07:19,840 --> 00:07:22,580
287
+ ุฃูˆ ูŠุณุชุงูˆูŠ minus x true
288
+
289
+ 73
290
+ 00:07:26,360 --> 00:07:40,180
291
+ ู‚ู„ ุงูˆ ูŠุณุงูˆูŠ U-XM ุงุถุฑู‡
292
+
293
+ 74
294
+ 00:07:40,180 --> 00:07:44,360
295
+ ููŠ ุงู„ุณุงุฆู„ ุจูƒู„ู‡ู… ู‡ุชู†ุนูƒุณ ุงู„ุดุฑุงุฆุนุงุช ุงู„ุฃูƒุจุฑ ุงู„ุณุคุงู„ ุงู†ุง
296
+
297
+ 75
298
+ 00:07:44,360 --> 00:07:50,720
299
+ ุญุงุณุณ ุงู† ุนู†ุฏูŠ X true ู‡ุฐุง
300
+
301
+ 76
302
+ 00:07:50,720 --> 00:07:54,320
303
+ ู‡ุตูŠุฑ ุงุตุบุฑ ุงูˆ ูŠุณุงูˆูŠ XM
304
+
305
+ 77
306
+ 00:07:55,970 --> 00:08:07,450
307
+ ุฒุงุฆุฏ U ูˆ ู‡ุฐุง ู‡ุตูŠุฑ ุฃูƒุจุฑ ู‡ุฐุง minus XM minus U ู„ูŠู‡
308
+
309
+ 78
310
+ 00:08:07,450 --> 00:08:14,270
311
+ ู‡ุฐู‡ ุงู„ุนู„ุงู‚ุฉ ูุงู„ true value ู‡ุชูƒูˆู† ุจูŠู† XM minus U
312
+
313
+ 79
314
+ 00:08:14,270 --> 00:08:19,190
315
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ uncertainty ูˆ XM plus U
316
+
317
+ 80
318
+ 00:08:22,540 --> 00:08:25,820
319
+ ุงู„ูŠูˆ ู‡ูŠ ุงู„ uncertainty estimate at odds of n to
320
+
321
+ 81
322
+ 00:08:25,820 --> 00:08:29,820
323
+ oneุŒ ุฅูŠุด ู…ุนู†ุงู‡ at odds of n to oneุŸ ูŠุนู†ูŠ ุญูŠูƒูˆู†
324
+
325
+ 82
326
+ 00:08:29,820 --> 00:08:33,800
327
+ ุนู†ุฏูŠ only one measurement in any measurementุŒ ุนู†ุฏูŠ
328
+
329
+ 83
330
+ 00:08:33,800 --> 00:08:37,600
331
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ู† ุนุฏุฏ n ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ุจุณู…ูŠุช ู‚ุฑุงุกุฉุŒ
332
+
333
+ 84
334
+ 00:08:37,600 --> 00:08:42,200
335
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ู† ุนุฏุฏ n ู…ู† ุงู„ู‚ุฑุงุกุงุช will have an
336
+
337
+ 85
338
+ 00:08:42,200 --> 00:08:48,240
339
+ error whose magnitude is greater than youูˆุงุญุฏ ู„ุงู†
340
+
341
+ 86
342
+ 00:08:48,240 --> 00:08:52,060
343
+ ู„ูˆุงุญุฏ ู…ุงู†ุง ุจุชุญุชูƒูŠ ุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ููŠ ุนุฏุฏ ุงู† ู…ู†
344
+
345
+ 87
346
+ 00:08:52,060 --> 00:08:57,220
347
+ ุงู„ู‚ุฑุงุกุงุช ู‚ูŠู…ุชูŠ ุงู„ู‚ุฑูˆูŠ ููŠู‡ุง ู‡ูŠุชุฌุงูˆุฒ ุงู„ uncertainty
348
+
349
+ 88
350
+ 00:08:57,220 --> 00:09:03,600
351
+ ูŠุนู†ูŠ ู„ู…ุง ู†ุญูƒูŠ ุนู† ุงู„ confidence ูˆุงุญุฏ ู…ู† ุนุดุฑูŠู† ูˆุงุญุฏ
352
+
353
+ 89
354
+ 00:09:05,090 --> 00:09:10,450
355
+ ู…ู† ุนุดุฑูŠู† ุงูŠุด ู…ุนู†ุงุชู‡ ุงู†ู‡ ู…ู† ูƒู„ ุนุดุฑูŠู† ู‚ุฑุงุกุฉ ู…ู† ูƒู„
356
+
357
+ 90
358
+ 00:09:10,450 --> 00:09:14,930
359
+ ุนุดุฑูŠู† ู‚ุฑุงุกุฉ ู‡ุชูƒูˆู† ู‚ุฑุงุกุฉ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠู‡ุง ุงุนู„ู‰ ู…ู†
360
+
361
+ 91
362
+ 00:09:14,930 --> 00:09:19,690
363
+ ุงู„ูŠูˆู… ุงุนู„ู‰ ู…ู† ุงู„ูŠูˆู… ู…ุนู†ุงุชู‡ ุงู†ุง ุนู†ุฏูŠ confidence ุฎู…ุณ
364
+
365
+ 92
366
+ 00:09:19,690 --> 00:09:24,130
367
+ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุฎู…ุณ ูˆ ุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ู†ุณุจุฉ
368
+
369
+ 93
370
+ 00:09:24,130 --> 00:09:32,000
371
+ ุงู„ุฎุทุฃ ูˆุงุญุฏุนู„ู‰ ุนุดุฑูŠู† ููŠ .. ููŠ ู…ูŠุฉ ุนุดุงู† ุงุญู†ุง ุจู‚ูˆู„ู‡ุง
372
+
373
+ 94
374
+ 00:09:32,000 --> 00:09:36,160
375
+ percentage ุชุทู„ุน ูŠุงุด ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูˆ ูŠุงุด ุงู†ุช
376
+
377
+ 95
378
+ 00:09:36,160 --> 00:09:39,680
379
+ ุชูƒูˆู† ุจุฑุง ุงู„ range ู…ุนู†ุงู‡ ุงู„ confidence ุงู† ุชูƒูˆู† ุฌูˆุง
380
+
381
+ 96
382
+ 00:09:39,680 --> 00:09:47,700
383
+ ุงู„ range ู‡ุชูƒูˆู† ู…ูŠุฉ ู†ุงู‚ุต ุฎู…ุณุฉ ุงู„ confidence ู‡ูƒูˆู†
384
+
385
+ 97
386
+ 00:09:47,700 --> 00:09:49,480
387
+ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ
388
+
389
+ 98
390
+ 00:09:53,690 --> 00:09:58,410
391
+ ุนู†ุง two general classes of error ุนู†ุง ุจุดูƒู„ ุนุงู… two
392
+
393
+ 99
394
+ 00:09:58,410 --> 00:10:03,110
395
+ classes of error ุงูˆู„ุด ุนู†ุฏู‰ bias ุงูˆ ู…ุง ูŠุณู…ู‰
396
+
397
+ 100
398
+ 00:10:03,110 --> 00:10:06,970
399
+ systematic errors ูˆ precision ุงูˆ random errors
400
+
401
+ 101
402
+ 00:10:06,970 --> 00:10:09,310
403
+ ุจู…ุนู†ู‰ ุงู† ุงู†ุง ุนู†ุฏู‰ two classes of error ุงู„ู„ูŠ ู‡ูŠ
404
+
405
+ 102
406
+ 00:10:09,310 --> 00:10:14,650
407
+ bias systematic errors ุงูˆ precision ุงูˆ precision
408
+
409
+ 103
410
+ 00:10:14,650 --> 00:10:18,250
411
+ ุจูŠู†ู‚ุตูŠู† random errors ู‡ู†ุดูˆู ุดูˆูŠุฉ ุดูˆูŠุฉ ุงู† ุงุทู„ุจ
412
+
413
+ 104
414
+ 00:10:18,250 --> 00:10:23,990
415
+ ุนู„ูŠู‡ู… ุงูˆู„ ู†ูˆุนุงู„ู„ูŠ ู‡ูŠ ุงู„ bias systematic errors
416
+
417
+ 105
418
+ 00:10:23,990 --> 00:10:35,670
419
+ bias
420
+
421
+ 106
422
+ 00:10:35,670 --> 00:10:41,950
423
+ ูŠุนู†ูŠ ุชุญูŠุฒ ุจูŠูƒูˆู† ุน ุฌู‡ุฉ ู…ุนูŠู†ุฉ ุจุงู„ English bias ูŠุนู†ูŠ
424
+
425
+ 107
426
+ 00:10:41,950 --> 00:10:47,450
427
+ ุจูŠูƒูˆู† ููŠ ุชุญูŠุฒ ุน ุฌู‡ุฉ ู…ุนูŠู†ุฉ bias error errors ุฃุฎุทุงุก
428
+
429
+ 108
430
+ 00:10:47,450 --> 00:10:53,710
431
+ ุงู„ biasุจุชุดูŠุจู‡ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ูƒู„ ู…ุง ุฃุฎุฏ ู‚ูŠุงุณ ูŠุนู†ูŠ ุฅุฐุง
432
+
433
+ 109
434
+ 00:10:53,710 --> 00:10:57,470
435
+ ุฃู†ุง ุจุงุฎุฏ ู‚ุฑุงุกุฉ ุฏุงูŠู…ุง ุจุชูƒูˆู† ู…ุฑุชูุนุฉ ุนู† ุงู„ true value
436
+
437
+ 110
438
+ 00:10:57,470 --> 00:11:03,010
439
+ ูŠุนู†ูŠ ุฏุงูŠู…ุง ุจุงุฎุฏ ู…ุซู„ุง ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ู…ูŠุฉ ุจุณ
440
+
441
+ 111
442
+ 00:11:03,010 --> 00:11:05,950
443
+ ุชุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ุฌู‡ุงุฒ ู…ูŠุฉ ูˆ ุฎู…ุณ ุฏุงูŠู…ุง .. ุฏุงูŠู…ุง ููŠ ุฎู…ุณ
444
+
445
+ 112
446
+ 00:11:05,950 --> 00:11:10,070
447
+ ุฏุฑุฌุงุช ุฒูŠ ุฒุงุฏุฉ ู‡ุฐุง bias ุงู„ุฎู…ุณ ุฏุฑุฌุงุช ู‡ูŠ ุฅูŠุดุŸ bias
448
+
449
+ 113
450
+ 00:11:13,110 --> 00:11:16,970
451
+ ุฃูˆ ู…ู…ูƒู† ุชูƒูˆู† ุงุฑุชูุงุนุง ุงูˆ ุฏุงูŠู…ุง ูŠูƒูˆู† ููŠุงู† ุงู„
452
+
453
+ 114
454
+ 00:11:16,970 --> 00:11:21,610
455
+ difference ุนู† ุงู„ู‚ุฑุงุกุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุจุงุชุฌุงู‡ ูˆุงุญุฏ ู‡ุฐุง ุงู„
456
+
457
+ 115
458
+ 00:11:21,610 --> 00:11:27,190
459
+ bias error example if
460
+
461
+ 116
462
+ 00:11:27,190 --> 00:11:30,250
463
+ the scale on an instrument ูƒุงู† ุงู„ scale ุนู„ู‰ ุฌู‡ุงุฒ
464
+
465
+ 117
466
+ 00:11:30,250 --> 00:11:36,610
467
+ ู…ุนูŠู† ุจุดูƒู„ ู…ุณุชู…ุฑ ุจูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ 5% ุฃุนู„ู‰ ูˆุจุงู„ุชุงู„ูŠ ูƒู„
468
+
469
+ 118
470
+ 00:11:36,610 --> 00:11:40,030
471
+ ุงู„ู‚ูŠุงุตุงุช ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ุฏุงูŠู…ุง ู‡ุชุนุทูŠู†ูŠ 5% ุฃุนู„ู‰ ู‡ุฐุง ุงุณู…ู‡
472
+
473
+ 119
474
+ 00:11:40,030 --> 00:11:40,630
475
+ bias error
476
+
477
+ 120
478
+ 00:11:44,310 --> 00:11:50,450
479
+ The scale may have a fixed F offset ุฃูˆ negative
480
+
481
+ 121
482
+ 00:11:50,450 --> 00:11:53,950
483
+ offset
484
+
485
+ 122
486
+ 00:11:53,950 --> 00:11:59,770
487
+ The indicated value for every reading of X is
488
+
489
+ 123
490
+ 00:11:59,770 --> 00:12:03,070
491
+ higher than the true value by an amount X offset
492
+
493
+ 124
494
+ 00:12:03,070 --> 00:12:10,790
495
+ ุฏุงุฆู…ุง ุงู„ indicated value ู„ูƒู„ ู‚ุฑุงุกุฉ ู‡ุชูƒูˆู† ุฃุนู„ู‰ ุญุณุจ
496
+
497
+ 125
498
+ 00:12:10,790 --> 00:12:19,120
499
+ ุฅุฐุง ูƒุงู†ุช ู…ูˆุฌุจ ุฃูˆ ุฃู‚ู„ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ู‚ุฑุงุกุฉ
500
+
501
+ 126
502
+ 00:12:19,120 --> 00:12:25,500
503
+ ุงู„
504
+
505
+ 127
506
+ 00:12:25,500 --> 00:12:28,860
507
+ bias errors ู…ุงู‚ุฏุฑุด ุงุนุงู„ุฌู‡ุง ุงูˆ ุงุชุนุงู…ู„ ู…ุนุงู‡ุง
508
+
509
+ 128
510
+ 00:12:28,860 --> 00:12:35,720
511
+ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉ ุจุจุณุงุทุฉ ู„ุฃู†ู‡ุง ู‚ูŠู…ุชู‡ุง ุซุงุจุชุฉ
512
+
513
+ 129
514
+ 00:12:36,840 --> 00:12:40,120
515
+ ูˆ ุจุชุนุทูŠู†ูŠุด ุชูˆุฒูŠุน .. it does not show a
516
+
517
+ 130
518
+ 00:12:40,120 --> 00:12:42,860
519
+ distribution ุจุชุนุทูŠู†ูŠุด ู…ุซู„ุง ุชูˆุฒูŠุน ุทุจูŠุนูŠ ู…ุง ุจุชุนุทูŠู†ูŠู‡
520
+
521
+ 131
522
+ 00:12:42,860 --> 00:12:46,580
523
+ ุชูˆุฒูŠุน ู„ุฃู† ุฃู†ุง fixed ุจุจุณุงุทุฉ ูˆุจุงู„ุชุงู„ูŠ ุจู‚ุฏุฑุด ุฃุชุนุงู…ู„
524
+
525
+ 132
526
+ 00:12:46,580 --> 00:12:53,900
527
+ ู…ุนุงู‡ ุญุตุงุฆูŠุง ุนุดุงู† ุฃู‚ุฏุฑ ู‚ูŠู…ุชู‡ุง ุงู„ bias error can be
528
+
529
+ 133
530
+ 00:12:53,900 --> 00:12:56,880
531
+ estimated by .. ุงู„ bias error ู…ู…ูƒู† ูŠุชู… ุชู‚ุฏูŠุฑู‡ ู…ู†
532
+
533
+ 134
534
+ 00:12:56,880 --> 00:13:01,740
535
+ ุฎู„ุงู„ ุงู„ุชุงู†ูŠcomparison of the instrument to a more
536
+
537
+ 135
538
+ 00:13:01,740 --> 00:13:05,680
539
+ accurate standard ูŠุนู†ูŠ ุจู‚ุงุฑู† ู‚ุฑุงุกุฉ ุงู„ุฌู‡ุงุฒ ู…ุน ุฌู‡ุงุฒ
540
+
541
+ 136
542
+ 00:13:05,680 --> 00:13:10,660
543
+ ุงูƒุซุฑ ุฏู‚ุฉ ุงูˆ ู…ุนูŠุงุฑ ุงูƒุซุฑ ุฏู‚ุฉ ูˆ ู…ู† ุฎู„ุงู„ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุนุฑู
544
+
545
+ 137
546
+ 00:13:10,660 --> 00:13:15,100
547
+ ู‚ูŠู…ุฉ ุงู„ุงุฎุชู„ุงู ุงูˆ ุงู„ bias ูŠุนู†ูŠ ุงุฐุง ุนู†ุฏู‰ ุฌู‡ุงุฒ ุงูƒุซุฑ
548
+
549
+ 138
550
+ 00:13:15,100 --> 00:13:19,040
551
+ ุฏู‚ุฉ ู…ุซู„ุง ุงู†ุง ุจ .. ุจุฌูŠุจ ุฌู‡ุงุฒ ุฏู‚ูŠู‚ ู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
552
+
553
+ 139
554
+ 00:13:19,040 --> 00:13:26,540
555
+ ุนู†ุฏู‰ ุฌู‡ุงุฒ ุงู„ุฏู‚ุฉ ููŠู‡ ู…ู†ุฎูุถุฉ ู‡ุงูŠ ู†ุญูƒูŠ ุฌู‡ุงุฒุฑู‚ู… ูˆุงุญุฏ
556
+
557
+ 140
558
+ 00:13:26,540 --> 00:13:35,620
559
+ ูˆุฌู‡ุงุฒ ุฑู‚ู… ุงุชู†ูŠู† ู‡ุฐุง ุงู„ standard ุญุฑุงุฑุฉ
560
+
561
+ 141
562
+ 00:13:35,620 --> 00:13:43,060
563
+ ู…ุซู„ุง ุงุญูƒูŠ ุฌู‡ุงุฒ ุญุฑุงุฑุฉ ุจุงุฎุฏ ู…ุซู„ุง ู„ูˆ
564
+
565
+ 142
566
+ 00:13:43,060 --> 00:13:52,280
567
+ ูƒุงู†ุช ู‡ู†ุง ุงู„ู‚ุฑุงุกุฉ ุนุดุฑุฉ ุงุนุทูŠู†ุง ู‡ุฐุง ุฌู‡ุงุฒ ุชู…ุงู†ูŠุฉ ุนู…ู„ุช
568
+
569
+ 143
570
+ 00:13:52,280 --> 00:13:52,820
571
+ ุนุดุฑูŠู†
572
+
573
+ 144
574
+ 00:13:55,400 --> 00:14:06,220
575
+ ุชุงู†ูŠ ุทุจู†ุชุงุด ุชู„ุงุชูŠู† ุชู…ุงู†ูŠุฉ ูˆ ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุชู…ุงู†ูŠุฉ ูˆ
576
+
577
+ 145
578
+ 00:14:06,220 --> 00:14:12,080
579
+ ุชู„ุงุชูŠู† ู…ุซู„ุง ู…ูŠุฉ ุชู…ุงู†ูŠุฉ
580
+
581
+ 146
582
+ 00:14:12,080 --> 00:14:18,720
583
+ ูˆ ุชุณุนูŠู† ูˆุงุถุญ ุงู† ููŠ bias ู…ูˆุฌุจ ุฏุฑุฌุชูŠู† ูุงู†ุง ู‚ู„ุช ุงู„
584
+
585
+ 147
586
+ 00:14:18,720 --> 00:14:24,110
587
+ bias error ูˆุงุถุญ ุงู† ุนู†ุฏูŠ ุฏุงูŠู…ุง ููŠ ูุฑู‚ ุฏุฑุฌุชูŠู†ูุงู„ู€
588
+
589
+ 148
590
+ 00:14:24,110 --> 00:14:30,390
591
+ bias ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ bias error ุจุงู„ุณุงูˆูŠุฉ ุงุชู†ูŠู†
592
+
593
+ 149
594
+ 00:14:30,390 --> 00:14:34,290
595
+ degrees ู„ุฃู† ู‡ุฐุง ุฌู‡ุงุฒ ุฌู‡ุงุฒ standard ู…ุนูŠุงุฑูŠ ูˆุฏู‚ุชู‡
596
+
597
+ 150
598
+ 00:14:34,290 --> 00:14:38,790
599
+ ุนุงู„ูŠ ุฌุฏุง bias
600
+
601
+ 151
602
+ 00:14:38,790 --> 00:14:42,130
603
+ errors can be estimated by ุงุญู†ุง ูƒู†ุง ู…ู† ุฎู„ุงู„
604
+
605
+ 152
606
+ 00:14:42,130 --> 00:14:46,470
607
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุฌู‡ุงุฒ ุชุญุช ุฌู‡ุงุฒู†ุง ุงู„ู„ูŠ ู†ุณุชุฎุฏู… ุนู„ูŠู‡ ู…ุน
608
+
609
+ 153
610
+ 00:14:46,470 --> 00:14:48,130
611
+ ุฌู‡ุงุฒ ู…ุนูŠุงุฑูŠ ุงูƒุซุฑ ุฏู‚ุฉ
612
+
613
+ 154
614
+ 00:14:50,750 --> 00:14:53,490
615
+ ู…ู…ูƒู† ู†ู‚ุฑุฑ from our knowledge of how the instrument
616
+
617
+ 155
618
+ 00:14:53,490 --> 00:15:00,130
619
+ was calibrated ู…ู† ู…ุนุฑูุชู†ุง ูƒูŠู ุนู…ู„ุช ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ
620
+
621
+ 156
622
+ 00:15:00,130 --> 00:15:05,390
623
+ ู„ู…ุง ู†ุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ุฃูŠ ุฌู‡ุงุฒ ุจุฃู‚ุงุฑู†ู‡ ุจุฌู‡ุงุฒ ู…ุนูŠุงุฑูŠ
624
+
625
+ 157
626
+ 00:15:05,390 --> 00:15:11,610
627
+ ุจูŠุนุทูŠู†ูŠ ุงู„ู…ุนู„ูˆู…ุงุช ุงู„ุชุงู„ูŠุฉ ุงู„ู…ุนุงูŠุฑุฉ ุจูŠุนุทูŠู†ูŠ ู…ุง ูŠุณู…ู‰
628
+
629
+ 158
630
+ 00:15:11,610 --> 00:15:14,990
631
+ ุงู„ู„ูŠ ู‡ูˆ linearity ุฎู„ุงู„ ุนู…ู„ุช ู…ุนุงูŠุฑุฉ ุจูŠุนุทูŠู†ูŠ ุงู„
632
+
633
+ 159
634
+ 00:15:14,990 --> 00:15:24,060
635
+ linearity ุงู„ zero offsetูˆ ุงู„ hysteresis ุงู„ zero
636
+
637
+ 160
638
+ 00:15:24,060 --> 00:15:26,720
639
+ offset ู‡ูŠ ุงู„ bias error ุงู„ zero offset ู‡ูŠ ุงู„ bias
640
+
641
+ 161
642
+ 00:15:26,720 --> 00:15:30,260
643
+ error ุจุชูƒูˆู† ุงูŠ ุงูุชุญ ุงูŠ ุฌู‡ุงุฒ electronic ุงุฐุง ุญุฏ ู…ุด
644
+
645
+ 162
646
+ 00:15:30,260 --> 00:15:34,020
647
+ ุจุฌูŠุจ ุฌู‡ุงุฒ multimeter ูˆูŠูุชุญ ุงู„ data sheet ุจุชุงุนุชู‡
648
+
649
+ 163
650
+ 00:15:34,020 --> 00:15:37,700
651
+ ุจูŠูƒูˆู† ูƒุงุชุจ ููŠ ุงู„ specifications ู…ุนุทูŠู†ุง ุงู„ู…ุนู„ูˆู…ุงุช
652
+
653
+ 164
654
+ 00:15:37,700 --> 00:15:41,980
655
+ ู‡ุฐู‡ ุงู„ linearity ู…ุนุทูŠู†ูŠ ุงู„ zero offset ู…ุนุทูŠู†ูŠ ุงู„
656
+
657
+ 165
658
+ 00:15:41,980 --> 00:15:48,040
659
+ ุงู„ hysteresis ูู…ู†
660
+
661
+ 166
662
+ 00:15:48,040 --> 00:15:55,320
663
+ ู…ุนุฑูุชูŠุจุทุฑูŠู‚ุฉ ุงู„ calibration ุงู„ู„ู‰ ู…ู…ูƒู† ูŠุฒูˆุฏู†ูŠ ููŠู‡ุง
664
+
665
+ 167
666
+ 00:15:55,320 --> 00:16:00,820
667
+ ุงู„ู…ุตู†ุน ุงู„ู„ู‰ ุนู…ู„ ุงู„ุฌู‡ุงุฒ ู„ุงุฒู… ู„ู‡ ุงูŠุด ู…ุนูŠุงุฑู‡ ุจูŠุนุทูŠู†ูŠ
668
+
669
+ 168
670
+ 00:16:00,820 --> 00:16:09,720
671
+ ุงูŠุด ุนู†ุฏู‡ ุงู„ู„ู‰ ู‡ูˆ bias error ููŠ ุงู„ุฌู‡ุงุฒ ุงู„
672
+
673
+ 169
674
+ 00:16:09,720 --> 00:16:14,100
675
+ bias errors ูƒู…ุงู† ู…ู…ูƒู† ูŠุชู… ุชู‚ุฏูŠุฑู‡ุงfrom our
676
+
677
+ 170
678
+ 00:16:14,100 --> 00:16:16,900
679
+ experience with instruments of that particular
680
+
681
+ 171
682
+ 00:16:16,900 --> 00:16:20,860
683
+ type ู…ู† ุฎุจุฑุชูƒ ููŠ ุฌู‡ุงุฒ ู…ู…ุงุซู„ ู‡ุฐุง ุงู„ุฌู‡ุงุฒ ุงู†ุช ุชุนุงู…ู„ุช
684
+
685
+ 172
686
+ 00:16:20,860 --> 00:16:25,420
687
+ ู…ุซู„ุง ุงู„ุฌู‡ุงุฒ ู‡ุฐุง ุฅู„ูƒ ุนุดุฑ ุณู†ูŠู† ู…ุซู„ุง ูˆุงู†ุช ุนุงู…ู„ุช ู…ุน
688
+
689
+ 173
690
+ 00:16:25,420 --> 00:16:28,740
691
+ ุชู„ุช ุฃุฑุจุน ุฃุฌุฒุฉ ูˆูƒู†ุช ุนุงุฑู ุฃู† ุงู„ุฃุฌุฒุฉ ู‡ุฐู‡ ุจุชุนุทูŠู†ูŠ
692
+
693
+ 174
694
+ 00:16:28,740 --> 00:16:32,520
695
+ ุงุฎุชู„ุงู ู…ุซู„ุง plus two degrees ุงูˆ minus two degrees
696
+
697
+ 175
698
+ 00:16:33,500 --> 00:16:36,940
699
+ ูู…ู† ุฎุจุฑุชูƒ ุงู„ุณุงุจู‚ ู„ู…ุง ุจุชุชุนุงู…ู„ ู…ุน ุฃุฌู‡ุฒุฉ ู…ู† ู†ูุณ ุงู„ู†ูˆุน
700
+
701
+ 176
702
+ 00:16:36,940 --> 00:16:41,760
703
+ ุจุชู‚ุฏุฑ ุงู„ bias error ูŠุนู†ูŠ ู„ู…ุง .. ู…ู† ู…ุนุฑูุชูƒ ุญูƒูŠุช
704
+
705
+ 177
706
+ 00:16:41,760 --> 00:16:45,300
707
+ ุฌู‡ุงุฒ ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ู…ูŠุฏุงุฑุด ุชู‚ูˆู„ ู„ุฃ ู‡ุฐุง ู…ุด ุตุญ ุงู„ุตุญ ู‡ูŠ
708
+
709
+ 178
710
+ 00:16:45,300 --> 00:16:52,880
711
+ 95 ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู†ูˆุน
712
+
713
+ 179
714
+ 00:16:52,880 --> 00:16:55,260
715
+ ุงู„ุชุงู†ูŠ ุงุญู†ุง ุญูƒูŠู†ุง .. ุญูƒูŠู†ุง ุงู„ู†ูˆุน ุงู„ .. ุงู„ .. ุงุญู†ุง
716
+
717
+ 180
718
+ 00:16:55,260 --> 00:16:58,060
719
+ ุญูƒูŠู†ุง ุนู† ุงู„ two classes of error ูŠุนู†ูŠ ุงู„ bias ุงูˆ
720
+
721
+ 181
722
+ 00:16:58,060 --> 00:17:04,550
723
+ systematic error ูˆุนู†ุฏูŠ precision random errorุงู„
724
+
725
+ 182
726
+ 00:17:04,550 --> 00:17:07,770
727
+ precision errors ุงูˆ ุงู„ random errors ู…ู† ุงุณู…ู‡ุง ุงู„ู„ูŠ
728
+
729
+ 183
730
+ 00:17:07,770 --> 00:17:15,290
731
+ ู‡ูŠ random ุนุดูˆุงุฆูŠุฉ ุงุฐุง ุจุงุฎุฏ ู„ู†ูุณ ุงู„ูƒู…ูŠุฉ ู‚ุฑุงุกุงุช
732
+
733
+ 184
734
+ 00:17:15,290 --> 00:17:20,410
735
+ ู…ุฎุชู„ูุฉ ู„ุฃุญุตูˆุง ุนู„ู‰ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ูŠุนู†ูŠ ู„ูˆ ุฃุฎุฏุช ุงู„ุฌูˆุงู„
736
+
737
+ 185
738
+ 00:17:20,410 --> 00:17:27,390
739
+ ูˆุนุทูŠุช caliber ู„ูƒู„ ูˆุงุญุฏ ููŠูƒูˆุง ุญุงูƒูŠุชูƒูˆุง ูŠู‚ูŠุณูˆุง
740
+
741
+ 186
742
+ 00:17:27,390 --> 00:17:33,360
743
+ ุงู„ุทูˆู„ุฉ ุจุชุงุน ุงู„ุฌูˆุงู„ูƒู„ ูˆุงุญุฏ ู‡ูŠุนุทูŠู†ุง ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ูƒู„
744
+
745
+ 187
746
+ 00:17:33,360 --> 00:17:38,460
747
+ ูˆุงุญุฏ ู‡ูŠุนุทูŠู†ุง ุงูŠุด ู‚ูŠู…ุฉ ู…ุฎุชู„ูุฉ ุงู„ุงู† ุงู„ู‚ูŠู… ู‡ุฐู‡ ูƒู„ู‡ุง
748
+
749
+ 188
750
+ 00:17:38,460 --> 00:17:43,080
751
+ ู„ูˆ ุฌู…ุนุชู‡ุง ุงู„ู„ูŠ ุงู„ุงู† ุฌู…ุนุชู‡ุง ูˆุฌุจุช ุงู„ main value
752
+
753
+ 189
754
+ 00:17:43,080 --> 00:17:46,880
755
+ ุจุชุงุนุชู‡ุง ุฌุจุช ุงู„ main value ุจุนุฏ ุงู† ุญุณุจุช ุงู„ุฎุทุฃ
756
+
757
+ 190
758
+ 00:17:46,880 --> 00:17:50,600
759
+ ุงู„ุงุจุชุนุงุฏ ุนู† ุงู„ main value ูˆุนู…ู„ุช average ู„ูƒู„ ุงู„
760
+
761
+ 191
762
+ 00:17:50,600 --> 00:17:55,240
763
+ heroes ู‡ุฐู‡ ู‡ุชูƒูˆู† ุงู„ average ุชุนุงู„ุฌ ูŠุณุงูˆูŠ ุตูุฑ ู…ุธุจูˆุท
764
+
765
+ 192
766
+ 00:17:56,570 --> 00:17:59,850
767
+ ูุงู„ precision errors are different for each
768
+
769
+ 193
770
+ 00:17:59,850 --> 00:18:01,670
771
+ successive measurement ุงู„ precision errors ุจุชูƒูˆู†
772
+
773
+ 194
774
+ 00:18:01,670 --> 00:18:04,870
775
+ ู…ุฎุชู„ูุฉ ู…ู† ู‚ุฑุงุกุฉ .. ู…ู† .. ู…ู† .. ู…ู† .. ุจุชูƒุฑุงุฑ
776
+
777
+ 195
778
+ 00:18:04,870 --> 00:18:09,610
779
+ ุงู„ู‚ุฑุงุกุงุช ุจุชูƒูˆู† ู…ุฎุชู„ูุฉ ูููŠ ุนุดูˆุงุฆูŠุฉ ุงูˆ randomness ููŠ
780
+
781
+ 196
782
+ 00:18:09,610 --> 00:18:16,050
783
+ ุงู„ู‚ุฑุงุกุฉ .. ุงุชุฎุงุฐ ุงู„ู‚ุฑุงุฑุงุช ู…ุซุงู„ mechanical friction
784
+
785
+ 197
786
+ 00:18:16,050 --> 00:18:22,490
787
+ ุงู„ุงุญุชูƒุงูƒ or vibration ุงูˆ ุงู„ุงุญุชุฒุงุฒุงุชmay cause the
788
+
789
+ 198
790
+ 00:18:22,490 --> 00:18:26,030
791
+ reading of a measuring mechanism to fluctuate
792
+
793
+ 199
794
+ 00:18:26,030 --> 00:18:29,830
795
+ about the true value ูˆุฌูˆุฏ ุงุญุชุฌุงุฌ ุงูˆ ุงู‡ุชุฒุงุฒ ุงูุฑุถ
796
+
797
+ 200
798
+ 00:18:29,830 --> 00:18:33,310
799
+ ุนู„ู‰ ุงู†ุฏูŠ ู…ุคุดุฑ ูˆ ุงู„ุฌู‡ุงุฒ ู…ูˆุฌูˆุฏ ุนู„ู‰ ุงู„ุทุงูˆู„ุฉ ููŠู‡ ู‡ุฒุฉ
800
+
801
+ 201
802
+ 00:18:33,310 --> 00:18:40,550
803
+ ุจูŠุตูŠุฑ ููŠู‡ ู‡ุฒุฉ ุญูˆุงู„ูŠู† ู„ู„ true value ูุงู†ุช ูˆ ุงู†ุช ุฎู„ุงู„
804
+
805
+ 202
806
+ 00:18:40,550 --> 00:18:46,260
807
+ ุงู„ู‡ุฒุฉ ุจุชุงุฎุฏ ู‚ุฑุงุฑ ุงู†ุช ุจุชุทู„ุน ุจุนูŠู†ูƒู‡ุชุงุฎุฏ ุงูŠุดุŸ ู‚ุฑุงุกุฉุŒ
808
+
809
+ 203
810
+ 00:18:46,260 --> 00:18:49,440
811
+ ุงุฐุง ุญุฏ ุงู†ุช ู†ุงุฎุฏ ู‚ุฑุงุกุฉ ู‡ุงุฎุฏ ู‚ุฑุงุกุฉ ู…ุฎุชู„ูุฉ ุงูˆ ู„ูˆ ูƒุงู†
812
+
813
+ 204
814
+ 00:18:49,440 --> 00:18:51,940
815
+ ููŠ mechanical friction ุฌู‡ุงุฒ ู…ุด ู…ุตู…ู… ุตุญ ููŠู‡ุŒ ููŠ
816
+
817
+ 205
818
+ 00:18:51,940 --> 00:18:56,960
819
+ ุงุญุชูƒุงูƒ ูƒุชูŠุฑ ุงู„ .. ุงู„ุงุญุชูƒุงูƒ ุญุงูˆู„ ููŠ ุงู„ loading ูŠุนู…ู„
820
+
821
+ 206
822
+ 00:18:56,960 --> 00:19:02,620
823
+ ุงุนู‚ู‰ ูููŠ ุงู„ loading ุจูŠุนุทูŠู†ูŠ ุงูŠุดุŸ ู‚ุฑุงุกุฉ ุงู‚ู„ ู…ู† ู…ุง
824
+
825
+ 207
826
+ 00:19:02,620 --> 00:19:07,480
827
+ ูŠุฌุจุŒ ู„ูˆ ุฎููุช ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ู‚ุฑุงุกุฉ ููŠ ุงู„ุฑุฌูˆุน
828
+
829
+ 208
830
+ 00:19:09,020 --> 00:19:14,340
831
+ ุจุฑุฌุนุด ู„ู„ true value ูู…ู…ูƒู† ุงุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ุงุนู„ู‰ ู…ู† ู…ุง
832
+
833
+ 209
834
+ 00:19:14,340 --> 00:19:20,440
835
+ ูŠุฌุจ ุงู† ุชูƒูˆู† ุทูŠุจ
836
+
837
+ 210
838
+ 00:19:20,440 --> 00:19:30,120
839
+ ููŠ
840
+
841
+ 211
842
+ 00:19:30,120 --> 00:19:33,560
843
+ ุงู„ precision ุงูˆ ุงู„ random errors successive
844
+
845
+ 212
846
+ 00:19:33,560 --> 00:19:38,520
847
+ readings ุงู„ู‚ุฑุงุกุงุช ุงู„ู…ุชุชุงุจุนุฉ ุงูˆ ุงู„ู…ุชุชุงู„ูŠุฉูˆ ุงู„
848
+
849
+ 213
850
+ 00:19:38,520 --> 00:19:41,200
851
+ general cluster about a central value ุงู„ู‚ุฑุงุกุงุช
852
+
853
+ 214
854
+ 00:19:41,200 --> 00:19:47,680
855
+ ู‡ุชูƒูˆู† cluster ูŠุนู†ูŠ ุชุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ุจุชูƒูˆู†
856
+
857
+ 215
858
+ 00:19:47,680 --> 00:19:51,640
859
+ ุชุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ ูŠุนู†ูŠ ููŠ range ู…ุนูŠู† ุชุทู„ุน
860
+
861
+ 216
862
+ 00:19:51,640 --> 00:19:57,900
863
+ ูˆ ุชู†ุฒู„ ุนู†ู‡ ุงู„ู‚ุฑุงุกุงุช we may use statistical
864
+
865
+ 217
866
+ 00:19:57,900 --> 00:20:02,020
867
+ analysis ุงุญู†ุง ู…ู…ูƒู† ู†ุณุชุฎุฏู… ุงู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉ ู„ุชู‚ุฏูŠุฑ
868
+
869
+ 218
870
+ 00:20:02,020 --> 00:20:06,360
871
+ the likely size of the error ุงูŠุด ุงุญุชู…ุงู„ูŠุฉ ุญุฌู…
872
+
873
+ 219
874
+ 00:20:06,360 --> 00:20:12,120
875
+ ุงู„ุฎุทุฃthe likely range of X ุงู„ู„ูŠ ู‡ูˆ ุงู„ range ุงู„ู„ูŠ
876
+
877
+ 220
878
+ 00:20:12,120 --> 00:20:21,180
879
+ ูˆุงู‚ุน ููŠ X and what the true value lies ุนู†ุฏ
880
+
881
+ 221
882
+ 00:20:21,180 --> 00:20:29,140
883
+ ู‡ู†ุง ุญู„ุชูŠู† ุฎู†ุช ุทู„ุน ุนู„ู‰ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู‡ุฐู‡ ุฃุฎุฏุช
884
+
885
+ 222
886
+ 00:20:29,140 --> 00:20:36,140
887
+ ู‚ุฑุงุกุฉ ู„ some mechanical measurement ุทุจุนุง ู„ุฃู† ููŠ
888
+
889
+ 223
890
+ 00:20:36,140 --> 00:20:40,280
891
+ randomnessู‡ูŠูƒูˆู† ููŠ ุนู†ุฏู‡ distribution ู„ู„ู‚ุฑุงุกุงุช
892
+
893
+ 224
894
+ 00:20:40,280 --> 00:20:43,920
895
+ ุญูˆุงู„ูŠู† ุงู„ central point ู‡ุฐู‡ ุงู„ central point ูููŠ
896
+
897
+ 225
898
+ 00:20:43,920 --> 00:20:47,620
899
+ distribution ุงู„ู‚ุฑุงุกุงุช ุญูˆุงู„ูŠู† this central point
900
+
901
+ 226
902
+ 00:20:47,620 --> 00:20:51,880
903
+ ุงู„ุขู†
904
+
905
+ 227
906
+ 00:20:51,880 --> 00:20:55,980
907
+ ู„ู„ true value ู‡ุฐู‡ ุงู„ true value ู‡ุฐู‡ x true ู‡ุฐู‡ x
908
+
909
+ 228
910
+ 00:20:55,980 --> 00:21:03,010
911
+ true ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ูƒู† ุงู„ central valueู…ุด
912
+
913
+ 229
914
+ 00:21:03,010 --> 00:21:05,690
915
+ ู…ุชุทุงุจู‚ุฉ ู„ุฃู† ุงุญู†ุง ูƒู†ุง ู…ุงูƒู†ุด ุนุงุฑููŠู† ุงู„ true value
916
+
917
+ 230
918
+ 00:21:05,690 --> 00:21:11,550
919
+ ุงุญู†ุง ู…ุงูƒู†ุด ุนุงุฑููŠู† ุงู„ true value ู„ุญุธุฉ ููŠ some bias
920
+
921
+ 231
922
+ 00:21:11,550 --> 00:21:17,150
923
+ ุฏุงูŠู…ุง ู„ true value ุฌุงูŠุฉ ุนู„ู‰ ุฌู‡ุฉ ูู‡ุฐู‡ ุจุณู…ูŠู‡ุง bias
924
+
925
+ 232
926
+ 00:21:17,150 --> 00:21:28,010
927
+ error ู„ุฃู† ุงุฐุง ู‡ุฐู‡ X ู‡ุฐู‡ X true ู‡ุฐู‡
928
+
929
+ 233
930
+ 00:21:28,010 --> 00:21:29,330
931
+ ุงู„ measured X
932
+
933
+ 234
934
+ 00:21:32,640 --> 00:21:37,720
935
+ ู‡ุฐู‡ ุงู„ู€ Central Value ุฃูˆ ุงู„ู€ Mean Value ุงู„ู€ Mean
936
+
937
+ 235
938
+ 00:21:37,720 --> 00:21:48,980
939
+ Value of Measurements ุงุญู†ุง
940
+
941
+ 236
942
+ 00:21:48,980 --> 00:21:52,940
943
+ ู‚ู„ู†ุง ุงู„ู€ Random ุฃูˆ ุงู„ู€ Precision Error ุจูŠูƒูˆู† ููŠ ุงู†
944
+
945
+ 237
946
+ 00:21:52,940 --> 00:21:55,900
947
+ Data ุฐุจุฐุจ ุญูˆุงู„ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู…ุด
948
+
949
+ 238
950
+ 00:21:55,900 --> 00:21:58,000
951
+ ู‡ูŠูƒูˆู† ู‡ุงูŠ ุงู„ X measured
952
+
953
+ 239
954
+ 00:22:00,970 --> 00:22:12,190
955
+ ู‡ุฐุง ู„ู† ูŠูƒูˆู† random ุงูˆ precision error ู„ูƒู†
956
+
957
+ 240
958
+ 00:22:12,190 --> 00:22:16,810
959
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู‚ูŠู…ุฉ
960
+
961
+ 241
962
+ 00:22:16,810 --> 00:22:24,670
963
+ ุงู„ุญู‚ูŠู‚ูŠุฉ is biased ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡
964
+
965
+ 242
966
+ 00:22:24,670 --> 00:22:29,530
967
+ ุณุชูƒูˆู† biased error
968
+
969
+ 243
970
+ 00:22:31,960 --> 00:22:38,640
971
+ ุงู„ู€ total error ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ E total ู‡ูŠูƒูˆู† ุงู„
972
+
973
+ 244
974
+ 00:22:38,640 --> 00:22:42,660
975
+ random error ุฒุงุฏ ุงู„ bias error total error
976
+
977
+ 245
978
+ 00:22:42,660 --> 00:22:46,700
979
+ ุจุงู„ุณุงูˆูŠุฉ ุงู„ random error ุฒุงุฏ ุงู„ bias error ู†ุดูˆู
980
+
981
+ 246
982
+ 00:22:46,700 --> 00:22:54,920
983
+ ุญุงู„ุฉ ุชุงู†ูŠุฉ ู„ุฃ
984
+
985
+ 247
986
+ 00:22:54,920 --> 00:23:00,040
987
+ ุงู†ุช ุทู„ุน ุนู„ู‰ ู‡ุฐุง ุงู†ุง ุจุญูƒูŠ ุนู† ู‡ุฐุง ู„ุฃู† ู‡ุฐุง ุจู…ุซู„
988
+
989
+ 248
990
+ 00:23:00,040 --> 00:23:06,090
991
+ ุงู„ุชูˆุฒูŠุนู‡ุฐุง ุจูŠู…ุซู„ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ ู„ู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุงู†ุง
992
+
993
+ 249
994
+ 00:23:06,090 --> 00:23:10,350
995
+ ุฃุฎุฏุชู‡ุง ุงู†ุง ุจุนู…ู„ ุงู„ุชุฌุฑุจุฉ ุจุงุฎุฏ ู‚ุฑุงุกุงุช ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ
996
+
997
+ 250
998
+ 00:23:10,350 --> 00:23:16,670
999
+ ุญุฑุงุฑุฉ ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ุซุงุจุชุฉ ู„ูƒู† ุงู†ุง ุจุงุฎุฏ ู‚ุฑุงุกุงุช ุงูˆ
1000
+
1001
+ 251
1002
+ 00:23:16,670 --> 00:23:19,330
1003
+ ุงู†ุชูˆุง ู…ุฌู…ูˆูƒ ูˆ ูƒู„ ูˆุงุญุฏ ูƒุงู† ูŠุงุฎุฏ ู‚ุฑุงุกุฉ ูˆ ุฌู…ุนู†ุง
1004
+
1005
+ 252
1006
+ 00:23:19,330 --> 00:23:23,910
1007
+ ุจูŠุงู†ุงุช ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ุจุชูƒูˆู†ุด ุงูˆ ุงู„ู‚ุฑุงุกุงุช ุจุชูƒูˆู†ุด ูƒู„ู‡ุง
1008
+
1009
+ 253
1010
+ 00:23:23,910 --> 00:23:26,990
1011
+ ู†ูุณ ุงู„ู‚ุฑุงุกุฉ ูŠุนู†ูŠ ู‡ูŠ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุฉ ู‚ุฑุงุกุงุช
1012
+
1013
+ 254
1014
+ 00:23:26,990 --> 00:23:30,150
1015
+ ู…ุฎุชู„ูุฉ ู‡ุฐุง ุจูŠู…ุซู„ ุงู„ุชูƒุฑุงุฑ ุฃูˆ ุงู„ distribution ุชุงุน
1016
+
1017
+ 255
1018
+ 00:23:30,150 --> 00:23:37,460
1019
+ ุงู„ู‚ุฑุงุกุงุชู‡ุชู…ุซู„ ุงู„ main value ุชู…ุซู„ ุงู„ main value ู„ูƒู†
1020
+
1021
+ 256
1022
+ 00:23:37,460 --> 00:23:42,820
1023
+ ู‡ู„ ู‡ูŠ ุงู„ main value ู‡ูŠ ุจุชู…ุซู„ ุงู„ true value ู„ุฃ ุงูƒูŠุฏ
1024
+
1025
+ 257
1026
+ 00:23:42,820 --> 00:23:48,920
1027
+ ุงุญู†ุง ู…ุด ุนุงุฑููŠู† ู‚ุฏ ุชูƒูˆู† ุงู„ true value ุนูŠู…ูŠู† ุงูˆ
1028
+
1029
+ 258
1030
+ 00:23:48,920 --> 00:23:53,840
1031
+ ุนุดู…ุงู„ ู†ูุชุฑุถ ุงู† ู‡ุฐู‡ ุงู„ true value ูˆู‡ุฐู‡ ุงู„ main
1032
+
1033
+ 259
1034
+ 00:23:53,840 --> 00:23:58,860
1035
+ value ุงู„ precision error ุงูˆ ุงู„ random error ุจูŠูƒูˆู†
1036
+
1037
+ 260
1038
+ 00:23:59,820 --> 00:24:03,260
1039
+ ุงุฎุชู„ุงู ุงู„ู‚ูŠุงุณุงุช ูŠุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ
1040
+
1041
+ 261
1042
+ 00:24:03,260 --> 00:24:07,780
1043
+ ูŠุชุฐุจุฐุจ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ ู„ุฃู†ู‡ุง ู‡ุชุชู…ุซู„ ุงู„
1044
+
1045
+ 262
1046
+ 00:24:07,780 --> 00:24:11,880
1047
+ average of all measured data ู‡ุชุชู…ุซู„ ุงู„ average of
1048
+
1049
+ 263
1050
+ 00:24:11,880 --> 00:24:15,800
1051
+ all measured data ู„ูƒู† ุนู„ู‰ ูุฑุตุฉ ู‡ุฐู‡ ู‡ูŠ ุงู„ truth
1052
+
1053
+ 264
1054
+ 00:24:15,800 --> 00:24:20,320
1055
+ ุงู„ู„ูŠ ู‡ุฐู‡ ุงู„ X true ุงู„ X true ู…ุนู†ุงุชู‡ ุงู„ main value
1056
+
1057
+ 265
1058
+ 00:24:20,320 --> 00:24:24,900
1059
+ ู…ุด ู…ู†ุทุจู‚ ุนู„ู‰ ุงู„ X true ุนุฏู… ุงู†ุทุจุงู‚ ุงู„ main value
1060
+
1061
+ 266
1062
+ 00:24:24,900 --> 00:24:31,960
1063
+ ุนู„ู‰ ุงู„ true value ุชุนู…ู„ ุจูŠุงุฒ ุงู†ุญุฑุงูbias error ูˆ
1064
+
1065
+ 267
1066
+ 00:24:31,960 --> 00:24:37,980
1067
+ ู„ุงุญุธุฉ ุชู‚ุฑูŠุจุง ุซุงุจุช ู‡ุฐุง ู„ูƒู† ู‚ุฏ ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ู‚ุฏ ุชูƒูˆู†
1068
+
1069
+ 268
1070
+ 00:24:37,980 --> 00:24:41,620
1071
+ ู‡ุฐุง X ู…ุฌุฑุฏ ู…ุฌุฑุฏ ุงูˆ ู‡ุฐุง ุงูˆ ู‡ุฐุง ุงูˆ ู‡ุฐุง ุงูŠ ู‚ูŠู…ุฉ ููŠ ุงู„
1072
+
1073
+ 269
1074
+ 00:24:41,620 --> 00:24:44,580
1075
+ range ู‡ุฐุง ู‡ูŠ is a measured value ุงู„ู„ูŠ ุฃุฎุฏุชู‡ุง ู…ู†ูƒู…
1076
+
1077
+ 270
1078
+ 00:24:44,580 --> 00:24:51,200
1079
+ ุงู†ุชูˆุง ุงู„ู„ูŠ ุฃุฎุฏุช ุงู„ู‚ุฑุงุกุงุช ุงู„ุงู† ุงู„ุจุนุฏ ุนู† ุงู„ average
1080
+
1081
+ 271
1082
+ 00:24:51,200 --> 00:24:54,500
1083
+ measured value ู‡ูˆ ุงู„ random error ู‡ูˆ ุงู„
1084
+
1085
+ 272
1086
+ 00:24:54,500 --> 00:24:57,740
1087
+ fluctuation about ุงู„ central point ุชูˆู‚ูŠุช ุงู„ู„ูŠ ุฑุงุญ
1088
+
1089
+ 273
1090
+ 00:24:57,740 --> 00:25:02,890
1091
+ ูŠูƒูˆู† ุฌุฒุก ู…ู†ู‡due to randomness random error ุงู„ู„ูŠ ู‡ูˆ
1092
+
1093
+ 274
1094
+ 00:25:02,890 --> 00:25:06,410
1095
+ ู‡ุฐุง ุงู„ุฌุฒุก ูˆ due to bias from the true value
1096
+
1097
+ 275
1098
+ 00:25:06,410 --> 00:25:16,130
1099
+ ูˆุงุถุญุงุชุŸ ุทูŠุจ ู‡ุงูŠ ู…ุซุงู„ ุชุงู†ูŠ ุฃุฎุฏ ู‚ุฑุงุกุงุช ุจุฑุถู‡ ู‡ุฐุง ู‡ูˆ
1100
+
1101
+ 276
1102
+ 00:25:16,130 --> 00:25:24,170
1103
+ distribution ู‡ุฐุง
1104
+
1105
+ 277
1106
+ 00:25:24,170 --> 00:25:25,270
1107
+ ุงู„ู‚ูŠู…ุฉ ุชู…ุซู„ ุฃูŠู‡ุŸ
1108
+
1109
+ 278
1110
+ 00:25:30,980 --> 00:25:40,240
1111
+ ู‡ุฐู‡ ู‡ุฐู‡ ุงู„ X mean ุงู„ mean value X mean ู‡ุฐู‡
1112
+
1113
+ 279
1114
+ 00:25:40,240 --> 00:25:50,840
1115
+ X measured ุงู„ุขู†
1116
+
1117
+ 280
1118
+ 00:25:50,840 --> 00:25:56,200
1119
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ X measured ูˆ X mean ุจุชู…ุซู„ ู„ูŠุด random
1120
+
1121
+ 281
1122
+ 00:25:56,200 --> 00:25:59,440
1123
+ error random or precision error
1124
+
1125
+ 282
1126
+ 00:26:05,020 --> 00:26:09,940
1127
+ ู‡ูŠ ุงู„ true value ุงู†ุง ุงุฎุฏู†ุง ุญุงู„ุฉ extreme ู‡ุงูŠ X true
1128
+
1129
+ 283
1130
+ 00:26:09,940 --> 00:26:18,960
1131
+ ู‡ุงุฏูŠ X true ุงู„ูุฑู‚
1132
+
1133
+ 284
1134
+ 00:26:18,960 --> 00:26:24,100
1135
+ ุจูŠู† ุงู„ mean value ูˆ ุงู„ true value ู‡ูŠ ุงูŠุด ุงู„ bias
1136
+
1137
+ 285
1138
+ 00:26:24,100 --> 00:26:32,640
1139
+ ุตุญ bias error ู…ุฌู…ูˆู‡ู…
1140
+
1141
+ 286
1142
+ 00:26:32,640 --> 00:26:38,540
1143
+ ุงู„ bias errorุฒุงุฏ ุงู„ precision error ุจูŠุนุทูŠู†ุง ุงู„
1144
+
1145
+ 287
1146
+ 00:26:38,540 --> 00:26:42,600
1147
+ total error ู…ุธุจูˆุทุŸ
1148
+
1149
+ 288
1150
+ 00:26:42,600 --> 00:26:50,080
1151
+ ููŠ ุงูŠ ุณุคุงู„ุŸ
1152
+
1153
+ 289
1154
+ 00:26:50,080 --> 00:26:58,500
1155
+ ู†ูุณ ุงู„ููƒุฑุฉ .. ู†ูุณ ุงู„ููƒุฑุฉ ู…ู…ูƒู† ุชูƒูˆู† bias ุจุงู„ู…ูˆุฌุจ ุงูˆ
1156
+
1157
+ 290
1158
+ 00:26:58,500 --> 00:27:05,040
1159
+ bias ุจุงู„ุณุงู„ุจ ุงู†ุง ู…ุซู„ุง ุจุนุทูŠ ุงู„ู‚ุฑุงุกุฉุงู„ู‚ุฑุงุกุฉ ุงู„ true
1160
+
1161
+ 291
1162
+ 00:27:05,040 --> 00:27:09,100
1163
+ ู…ุซู„ุง ุงู†ุง ุจุชุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ 100 ุจุณ ู‡ูŠ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฅูŠุด 105
1164
+
1165
+ 292
1166
+ 00:27:09,100 --> 00:27:17,780
1167
+ ูŠุนู†ูŠ ุงู†ุง I bias ุจุงู„ negative ู…ู…ูƒู†
1168
+
1169
+ 293
1170
+ 00:27:17,780 --> 00:27:21,640
1171
+ ุงุญุชู…ุงู„ ุงุญุฏ ุงู„ุงุญุชู…ุงู„ุงุช ูˆุงุญุชู…ุงู„ ูˆุงุฑุฏ ูˆุงุญุชู…ุงู„ ู„ุฃ
1172
+
1173
+ 294
1174
+ 00:27:21,640 --> 00:27:27,200
1175
+ ุงุญุชู…ุงู„ ุงู† ุงู†ุง ู„ู…ุง ุงู‚ูŠุณ ุทู„ุนุช ู‡ุฐู‡ ุนุดุฑุฉ point two one
1176
+
1177
+ 295
1178
+ 00:27:27,200 --> 00:27:29,740
1179
+ millimeter ุงุญุชู…ุงู„ ูŠูƒูˆู† ู‡ุฐุง ู‡ูˆ ุงู„ true value
1180
+
1181
+ 296
1182
+ 00:27:29,740 --> 00:27:31,820
1183
+ ูˆุงุญุชู…ุงู„ ู„ุฃ ู…ุด ุนุงุฑููŠู† ู…ุด ุญุฏ ุงู†ุง ุนุงุฑู
1184
+
1185
+ 297
1186
+ 00:27:39,180 --> 00:27:43,580
1187
+ ุงู„ุงู† ุงุญู†ุง ุญูƒูŠู†ุง ุจุดูƒู„ ุนุงู… ุนู†ุฏู†ุง two classes of
1188
+
1189
+ 298
1190
+ 00:27:43,580 --> 00:27:49,220
1191
+ error bias or systematic error ูˆ precision or
1192
+
1193
+ 299
1194
+ 00:27:49,220 --> 00:27:56,540
1195
+ random errors ุงู„ bias ูˆ systematic errors ุจุฑุถู‡ ู„ู‡ุง
1196
+
1197
+ 300
1198
+ 00:27:56,540 --> 00:28:02,480
1199
+ ุชู‚ุณูŠู…ุฉ ูุงู†ุฏูŠ calibration errors ุนู†ุฏูŠ certain
1200
+
1201
+ 301
1202
+ 00:28:02,480 --> 00:28:06,260
1203
+ periodic human errors ุฎุทุฃ ุฎุทุฃ ู†ุชูŠุฌุฉ ุงู„ุนุงู…ู„ ุงู„ุจุดุฑูŠ
1204
+
1205
+ 302
1206
+ 00:28:07,650 --> 00:28:12,310
1207
+ certain errors caused by defective equipment ุงู„
1208
+
1209
+ 303
1210
+ 00:28:12,310 --> 00:28:15,610
1211
+ equipment defect ููŠู‡ ู…ุดูƒู„ุฉ ููŠ ุงู„ design ุจุชุงุนู‡ ููŠ
1212
+
1213
+ 304
1214
+ 00:28:15,610 --> 00:28:20,270
1215
+ ุงู„ุชุตู†ูŠุน ููŠ ุงู„ .. ููŠ ุงู„ main .. ูŠุนู†ูŠ ููŠู‡ ู…ุดูƒู„ุฉ ู…ุง
1216
+
1217
+ 305
1218
+ 00:28:20,270 --> 00:28:24,910
1219
+ ููŠ ุงู„ุฌู‡ุงุฒ defective loading errors ู‡ุชุดูˆู ุงูŠุด ู…ุนู†ุงู‡
1220
+
1221
+ 306
1222
+ 00:28:24,910 --> 00:28:29,950
1223
+ loading errors limitations of system resolution
1224
+
1225
+ 307
1226
+ 00:28:30,830 --> 00:28:36,450
1227
+ ุงู„ู‚ุฑุงุกุงุช ุชุฏุฑุฌุงุช ู…ุด ูƒุงููŠุฉ ุชุจูŠู†ูŠ ุงู„ุชูุงุตูŠู„ ุงูƒุซุฑ ุฏู‚ุฉ
1228
+
1229
+ 308
1230
+ 00:28:36,450 --> 00:28:40,570
1231
+ ูŠุนู†ูŠ ู…ุตุทู„ุญ ุงู„ result ุจุชุงุนูŠ ุจูŠูƒูˆู† ูˆุงุญุฏ ู…ู„ูŠ ู…ุชุฑ ุงู„
1232
+
1233
+ 309
1234
+ 00:28:40,570 --> 00:28:44,710
1235
+ caliber ุงู„ result ุจุชุงุนูŠ ุจูŠูƒูˆู† point o ูˆุงุญุฏ ู…ู„ูŠ ู…ุชุฑ
1236
+
1237
+ 310
1238
+ 00:28:44,710 --> 00:28:49,630
1239
+ ุทูŠุจ
1240
+
1241
+ 311
1242
+ 00:28:49,630 --> 00:28:52,330
1243
+ ู…ุนู†ุงุชู‡ ุงู„ bias or systematic error ุงู„ bias or
1244
+
1245
+ 312
1246
+ 00:28:52,330 --> 00:28:55,230
1247
+ systematic error ู…ู…ูƒู† ุชูƒูˆู† calibration errors ุงูˆ
1248
+
1249
+ 313
1250
+ 00:28:55,230 --> 00:28:58,730
1251
+ periodic human errors ุงูˆ errors caused by
1252
+
1253
+ 314
1254
+ 00:28:58,730 --> 00:29:03,120
1255
+ defective equipmentุฃูˆ loading errors ุฃูˆ
1256
+
1257
+ 315
1258
+ 00:29:03,120 --> 00:29:11,400
1259
+ limitations ุฃูˆ errors due to resolution ุงู„
1260
+
1261
+ 316
1262
+ 00:29:11,400 --> 00:29:17,240
1263
+ precision or random errors ู…ู…ูƒู† ุชูƒูˆู† errors caused
1264
+
1265
+ 317
1266
+ 00:29:17,240 --> 00:29:24,160
1267
+ by disturbances to the equipment ุนู…ู„ุช ุฒูŠ ุฅุฒุนุงุฌ ู„ู„
1268
+
1269
+ 318
1270
+ 00:29:24,160 --> 00:29:28,620
1271
+ equipment ู…ุซู„ุง ูŠูƒูˆู† ููŠู‡ ุงู‡ุชุฒุงุฒุงุช ู…ุซู„ุง ู‡ุงุชู…ุฉ
1272
+
1273
+ 319
1274
+ 00:29:28,620 --> 00:29:31,720
1275
+ disturbances ู„ู„ equipmenterrors caused by
1276
+
1277
+ 320
1278
+ 00:29:31,720 --> 00:29:35,820
1279
+ fluctuating experimental conditions ู…ู…ูƒู† ููŠ .. ุฅุฐุง
1280
+
1281
+ 321
1282
+ 00:29:35,820 --> 00:29:40,580
1283
+ ุงู„ุชุฌุฑุจุฉ ู‡ุชุชู…ุน ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ูŠุตูŠุฑ ุชุบูŠุฑุงุช ููŠ
1284
+
1285
+ 322
1286
+ 00:29:40,580 --> 00:29:46,640
1287
+ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุฃูˆ ุงู„ุงุฑุทูˆุจุฉ ุชุฃุซุฑ ุนู„ู‰ ุงู„ู†ุชุงุฌ errors
1288
+
1289
+ 323
1290
+ 00:29:46,640 --> 00:29:51,660
1291
+ derived from insufficient measuring system ูŠุนู†ูŠ
1292
+
1293
+ 324
1294
+ 00:29:51,660 --> 00:29:58,040
1295
+ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ู…ุด ุญุณุงุณ ุฃู† ูŠูุฎุฏ ุงู„ู‚ุฑุงุกุฉ ูŠุนู†ูŠ ู…ุซู„ุง ุฃู†ุง
1296
+
1297
+ 325
1298
+ 00:29:58,040 --> 00:30:02,240
1299
+ ุนู†ุฏูŠ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุงู„ุถุบุทู‡ุฐุง ุฌู‡ุงุฒ ุงู„ู…ุตู†ุน ุนู…ู„ู‡ ุนุดุงู†
1300
+
1301
+ 326
1302
+ 00:30:02,240 --> 00:30:08,680
1303
+ ูŠู‚ูŠุณ ู…ุซู„ุง ุงู„ range ุจุชุงุนู‡ ู…ู† ุงุฑุจุนูŠู† ู„ู…ูŠุฉ bar ู„ูˆ
1304
+
1305
+ 327
1306
+ 00:30:08,680 --> 00:30:16,180
1307
+ ุญุทูŠุชู‡ ูŠู‚ูŠุณ ูˆุงุญุฏ millibar ู…ุด ู‡ุฌูŠุจู‡ุŒ ู…ุธุจูˆุทุŸ ู‡ูˆ
1308
+
1309
+ 328
1310
+ 00:30:16,180 --> 00:30:18,540
1311
+ sensitive .. ุงู„ sensitive ุจุชุงุนุฉ plus ุงู„ one bar ูˆ
1312
+
1313
+ 329
1314
+ 00:30:18,540 --> 00:30:21,340
1315
+ ู„ุง ุฎู…ุณุฉ bar ู„ู…ุง ุงุญูƒูŠู„ู‡ ุจุฏูŠ ูˆ ู„ุง ุนุดุฑุฉ millibar ูŠุนู†ูŠ
1316
+
1317
+ 330
1318
+ 00:30:21,340 --> 00:30:24,500
1319
+ ูˆุงุญุฏ ู…ู† ุงู„ู ู…ู† ุงู„ bar ู…ุด ู‡ุฌูŠุจู‡ุง it's not sensitive
1320
+
1321
+ 331
1322
+ 00:30:24,500 --> 00:30:28,460
1323
+ enough to measure very low pressure
1324
+
1325
+ 332
1326
+ 00:30:35,890 --> 00:30:40,250
1327
+ ุทูŠุจ ุงุญู†ุง ููŠ ุฃุฎุทุงุก ุชุณู…ู‰ illegitimate illegitimate
1328
+
1329
+ 333
1330
+ 00:30:40,250 --> 00:30:44,790
1331
+ ู…ุงุดูŠ ู…ุนู†ุงู‡ illegitimate ุดุฑุนูŠุฉ illegitimate ุบูŠุฑุด
1332
+
1333
+ 334
1334
+ 00:30:44,790 --> 00:30:48,730
1335
+ ุฃุฎุทุงุก ุบูŠุฑ ุดุฑุนูŠุฉ ูŠุนู†ูŠ ุงู„ bias ูˆ ุงู„ system .. ุงู„
1336
+
1337
+ 335
1338
+ 00:30:48,730 --> 00:30:52,610
1339
+ bias ูˆ ุงู„ random you know ุจุชุณูŠุฑ ู…ุน ุจุนุถ ุฃุญูŠุงู† ูŠุนู†ูŠ
1340
+
1341
+ 336
1342
+ 00:30:52,610 --> 00:30:57,390
1343
+ ู…ุงููŠุด ู„ุณูŠุทุฑุฉ ุงู„ุฃูˆุจุงู‚ ุจูŠุณูŠุฑูˆุง ู†ุตุจู† ุนู†ู‡ ู„ูƒู† ููŠ ุฃุฎุทุงุก
1344
+
1345
+ 337
1346
+ 00:30:57,390 --> 00:31:02,350
1347
+ ุฒูŠ ุงู„ุฃุฎุทุงุก ู…ุซู„ุง ุฃู†ู‡ ุจุงุฎุฏ ุงู„ู‚ุฑุงุกุงุช ุจุงุฎุฏู‡ุง ุบู„ุท ุฃู†ุง
1348
+
1349
+ 338
1350
+ 00:31:03,390 --> 00:31:09,370
1351
+ mistakes ุฃูˆ ู†ุณุฎุฉ ุฑู‚ู… ุบู„ุท ูƒุชุจุช ุฑู‚ู… ุบู„ุท ุฃูˆ ุจุนุฏ
1352
+
1353
+ 339
1354
+ 00:31:09,370 --> 00:31:14,670
1355
+ ุงู†ุชู‡ุงุก ุงู„ุชุฌุฑุจุฉ ูƒุงู† ููŠ ุฎุทุฃ ููŠ ุงู„ุญุณุงุจุงุช ุงู„ุฎุทุฃ ููŠ
1356
+
1357
+ 340
1358
+ 00:31:14,670 --> 00:31:17,950
1359
+ ุงู„ุญุณุงุจุงุช ุจุชุตู„ุญ ุฃู†ุช .. ุฃู†ุช .. ุฃู†ุช ุบู„ุทุงู† ุจุฏูƒ ุจุณ
1360
+
1361
+ 341
1362
+ 00:31:17,950 --> 00:31:22,650
1363
+ ุชู†ุชุจู‡ ุฃูƒุชุฑ ุนุดุงู† ู…ุงุชุฎุทุฃุด ุฃุฎุทุงุก ุชุนุทูŠู„ูŠ ู†ุชุงุฆุฌ ู…ุด
1364
+
1365
+ 342
1366
+ 00:31:22,650 --> 00:31:29,850
1367
+ ู…ุทุงุจู‚ุฉ ู„ูˆุงู‚ุน ุงู„ุชุฌุฑุจุฉ ููŠู†ุง
1368
+
1369
+ 343
1370
+ 00:31:29,850 --> 00:31:35,050
1371
+ arrowsthat are sometimes bias and sometimes
1372
+
1373
+ 344
1374
+ 00:31:35,050 --> 00:31:38,610
1375
+ precision ููŠ ุจุนุถ ุงู„ุฃุฎุทุงุก .. ุงู„ุฃุฎุทุงุก ู…ู…ูƒู† ุชูƒูˆู† ุชุตู†ู
1376
+
1377
+ 345
1378
+ 00:31:38,610 --> 00:31:43,210
1379
+ ุจุนุถ ุงู„ุฃุญูŠุงู† bias errors ูˆ ููŠ ุฃุญูŠุงู† ุฃุฎุฑู‰ ุชุตู†ู
1380
+
1381
+ 346
1382
+ 00:31:43,210 --> 00:31:47,330
1383
+ precision errors ูŠุนู†ูŠ ุฌุงูŠ ุจูŠู† ุงู„ุชุงู†ูŠู† ุจูŠู† ุงู„ู„ูŠ ..
1384
+
1385
+ 347
1386
+ 00:31:47,330 --> 00:31:50,570
1387
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ bias systematic ูˆ ุงู„ precision errors
1388
+
1389
+ 348
1390
+ 00:31:50,570 --> 00:31:58,130
1391
+ ุฒูŠ errors from instrument backlash friction and
1392
+
1393
+ 349
1394
+ 00:31:58,130 --> 00:32:07,460
1395
+ hysteresisback ู„ุง ุฅูŠุด ู…ุนู†ุงู‡ ู„ุงุด ูุฑู‚ ู‡ุฐุง ูŠุณุชุฎุฏู… ููŠ
1396
+
1397
+ 350
1398
+ 00:32:07,460 --> 00:32:10,440
1399
+ ุงู„ุงุชุฑูˆุณ back ู„ุงุด ูุฑู‚ ู…ู† ุงู„ุฎู„ู ูŠุนู†ูŠ ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ
1400
+
1401
+ 351
1402
+ 00:32:10,440 --> 00:32:25,040
1403
+ terrace ูˆ terrace ูุนู†ุฏูŠ
1404
+
1405
+ 352
1406
+ 00:32:25,040 --> 00:32:25,960
1407
+ ู‡ู†ุง terrace ุชุงู†ูŠุฉ
1408
+
1409
+ 353
1410
+ 00:32:36,550 --> 00:32:42,090
1411
+ ูŠุนู†ูŠ ู‡ุฐุง ุจุฏูˆุฑ ุจุงู„ุดูƒู„ ู‡ุฐุง counter clockwise ู‡ุชุญู‚ู‚ู†ูŠ
1412
+
1413
+ 354
1414
+ 00:32:42,090 --> 00:32:47,610
1415
+ ุฅูŠุด ุฏูˆุฑุŸ clockwise ุตุญุŸ terrace ู„ุญุธุฉ ูŠูƒูˆู† ููŠ ูุฑุงุบุŒ
1416
+
1417
+ 355
1418
+ 00:32:47,610 --> 00:32:53,030
1419
+ ู‡ุฐุง ุงู„ูุฑุงุบ ูŠุนู†ูŠ ู‡ูˆ ู…ุงุดูŠ ู„ุงุชุฌุงู‡ ู‡ุฐุงุŒ ููŠ ูˆุฑุงู‡ ูุฑุงุบ
1420
+
1421
+ 356
1422
+ 00:32:53,030 --> 00:32:57,530
1423
+ ุณู…ูˆู‡ ุฅูŠุดุŸ backlash
1424
+
1425
+ 357
1426
+ 00:33:03,910 --> 00:33:07,610
1427
+ ู„ูˆ ุนูƒุณ ุงู„ุงุชุฌุงู‡ ู‡ูƒูˆู† ููŠู‡ error ู„ูˆ ุนูƒุณ ุงุชุฌุงู‡ ุญุฑูƒุฉ
1428
+
1429
+ 358
1430
+ 00:33:07,610 --> 00:33:14,330
1431
+ ุงู„ุชุฑุณ ู‡ูƒูˆู† error ู†ุชูŠุฌุฉ ุงู„ูุฑุงุบ ู‡ุฐุง errors
1432
+
1433
+ 359
1434
+ 00:33:14,330 --> 00:33:19,290
1435
+ from calibration, drift and variation in test or
1436
+
1437
+ 360
1438
+ 00:33:19,290 --> 00:33:23,450
1439
+ environmental conditions ุงู„ุฃุฎุทุงุก ุงู„ู†ุงุชุฌุฉ ุนู† ุงู„
1440
+
1441
+ 361
1442
+ 00:33:23,450 --> 00:33:26,570
1443
+ drift ุงู„ drift ุญูƒูŠู†ุง ุงู†ู‡ ุจูŠุตูŠุฑ ุชุบูŠุฑ ููŠ ุงู„ู‚ุฑุงุกุงุช ู…ุน
1444
+
1445
+ 362
1446
+ 00:33:26,570 --> 00:33:29,970
1447
+ ุงู„ุฒู…ู† ุนู„ู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ุงู„ drift ุงู„ noise ุจุชูƒูˆู†
1448
+
1449
+ 363
1450
+ 00:33:29,970 --> 00:33:33,920
1451
+ ุชุบูŠุฑู‡ุง ุณุฑูŠุน ู…ุน ุงู„ุฒู…ู†ุงู„ู€ drift ุชูƒูˆู† ุจุทูŠู‚ ู…ุน ุงู„ุฒู…ู†
1452
+
1453
+ 364
1454
+ 00:33:33,920 --> 00:33:39,000
1455
+ ุทูŠุจ errors resulting from variations in procedure
1456
+
1457
+ 365
1458
+ 00:33:39,000 --> 00:33:50,760
1459
+ ุทุฑูŠู‚ุฉ ุนู…ู„ ูุญุต ู…ู…ูƒู† ุชุนู…ู„ ุฅูŠู‡ุงุด ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉ ุทูŠุจ
1460
+
1461
+ 366
1462
+ 00:33:50,760 --> 00:33:57,160
1463
+ ููŠ ู…ุง ูŠุณู…ู‰ ุงู„ calibration errors ุงู„ calibration
1464
+
1465
+ 367
1466
+ 00:33:57,160 --> 00:34:06,870
1467
+ errors ุชุญุช ุฃู†ูŠุฉ ุชุตู†ูŠู ุฌุงูŠุฉุชุญุช ุงู„ bias errors ูˆ ุงู„
1468
+
1469
+ 368
1470
+ 00:34:06,870 --> 00:34:16,070
1471
+ precision errors ุงู„ calibration ุชุญุช ุงู„ bias ู„ู…ุง
1472
+
1473
+ 369
1474
+ 00:34:16,070 --> 00:34:20,810
1475
+ ุงุฌูŠ ุงู†ุง ุงุนู…ู„ calibration ู„ุฌู‡ุงุฒ ู…ุซู„ุง ุงู†ุง ุนู…ู„ุช ู…ูŠุฒุงู†
1476
+
1477
+ 370
1478
+ 00:34:20,810 --> 00:34:27,890
1479
+ ูˆ ุจุฏูŠ ุงุนู…ู„ู‡ ู…ุนุงูŠุฑุฉ ู†ุญูƒูŠ ุงู„ู…ูŠุฒุงู† ุงู„ range ุจุชุงุนู‡ ู…ู†
1480
+
1481
+ 371
1482
+ 00:34:27,890 --> 00:34:30,410
1483
+ 0 ู„ 100 kilogram ุงุฌูŠุจ ุงู„ู…ูŠุฒุงู†
1484
+
1485
+ 372
1486
+ 00:34:41,180 --> 00:34:47,960
1487
+ ุจุฌูŠุจ ุฃูˆุฒุงู† ุณูุฑ ูŠุนู†ูŠ ู…ุงููŠุด ูˆุฒู† ูˆุฎู…ุณูŠู† ูƒูŠู„ูˆ ู…ุซู„ุง ุงูˆ
1488
+
1489
+ 373
1490
+ 00:34:47,960 --> 00:34:54,360
1491
+ ู…ุงุฆุฉ ูƒูŠู„ูˆ ุจุงุฎุฏ ู‚ุฑุงุกุงุช ุงู„ู„ูŠ
1492
+
1493
+ 374
1494
+ 00:34:54,360 --> 00:35:00,180
1495
+ ู‡ูˆ ุงู„ true mass ุงู„ูˆุฒู† ุงู„ู„ูŠ ุจุณุชุฎุฏู…ู‡ ุจูŠุนุทูŠู‡ true
1496
+
1497
+ 375
1498
+ 00:35:00,180 --> 00:35:08,140
1499
+ mass ุตุญุŸ ูˆ ุงู„ measured mass
1500
+
1501
+ 376
1502
+ 00:35:11,110 --> 00:35:18,670
1503
+ ุจุดุบู‘ู„ ุงู„ู…ูŠุฒุงู† ุจุดุบู‘ู„ ุงู„ู…ูŠุฒุงู† ู…ุซู„ุง ุฃุนุทุงู†ูŠ ุณูุฑ ุงู„
1504
+
1505
+ 377
1506
+ 00:35:18,670 --> 00:35:22,110
1507
+ true mask ุฃู†ุง ู…ุงููŠุด ุนู„ูŠู‡ ุฃูŠ ุดูŠ ุณูุฑ ุงุฑุงู‡ุง ุฃุนุทุงู†ูŠ ู‡ูˆ
1508
+
1509
+ 378
1510
+ 00:35:22,110 --> 00:35:30,430
1511
+ ู…ุซู„ุง point o one ุงู„ู…ูŠุฒุงู† ู‡ุฐุง ุฃูˆู„ ู„ุณู‡ ุฏู‡ ููŠ ุงู„ู…ุตู†ุน
1512
+
1513
+ 379
1514
+ 00:35:30,430 --> 00:35:34,150
1515
+ ุญุทูŠุช ุนู„ูŠู‡ ุฎู…ุณูŠู† ูƒูŠู„ูˆ
1516
+
1517
+ 380
1518
+ 00:35:41,670 --> 00:35:46,430
1519
+ ุฃุนุทุงู†ูŠ ุชุณุนุฉ ูˆ ุฃุฑุจุนูŠู† ุฃู†ุง
1520
+
1521
+ 381
1522
+ 00:35:46,430 --> 00:35:53,430
1523
+ ุจุนู…ู„ loading ุญุงู„ูŠุง ุจุนู…ู„ ุฅูŠู‡ุŸ loading ุจุทู„ุน ูุญุทูŠุช
1524
+
1525
+ 382
1526
+ 00:35:53,430 --> 00:36:00,710
1527
+ ุนู„ูŠู‡ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ ุชุณุนุฉ ูˆ ุฃุฑุจุนูŠู† ุญุทูŠุช ูƒู…ุงู† ุฎู…ุณูŠู†
1528
+
1529
+ 383
1530
+ 00:36:00,710 --> 00:36:08,430
1531
+ ู‡ุดูŠุฑุฉ ูƒู…ุŸ ู…ูŠุฉ ู…ุซู„ุง ุฃุนุทุงู†ูŠ ุณุจุนุฉ ูˆ ุชุณุนูŠู†
1532
+
1533
+ 384
1534
+ 00:36:16,550 --> 00:36:24,210
1535
+ ูˆ ุจุนุฏูŠู† ุฎูุฉ ุดู„ุช ุงู„ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุดู„ุช ุงู„ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุตุงุฑ
1536
+
1537
+ 385
1538
+ 00:36:24,210 --> 00:36:32,770
1539
+ ุฃูŠุงุด ุฎู…ุณูŠู† ุงุนุทุงู†ูŠ ู…ุซู„ุง ูˆุงุญุฏ ูˆ ุฎู…ุณูŠู† ุญุงู„ูŠุง ุจุนู…ู„
1540
+
1541
+ 386
1542
+ 00:36:32,770 --> 00:36:40,290
1543
+ unloading ุจู†ุฒู„ ุญุงู…ู„ ุนู†ู‡ ูˆ ุจุนุฏูŠู† ุดู„ุช ุงู„ุฎู…ุณูŠู†
1544
+
1545
+ 387
1546
+ 00:36:40,290 --> 00:36:52,680
1547
+ ุงู„ุชุงู†ูŠุฉ ุตุงุฑ ุงู„ุญู‚ูŠู‚ู‡ ุณูุฑุฃุนุทุงู†ูŠ ู…ุซู„ุง point one ุงูŠุด
1548
+
1549
+ 388
1550
+ 00:36:52,680 --> 00:36:56,420
1551
+ ุงู„ input ุนู†ุฏูŠุŸ ู‡ุงูŠ ุงู„ input ุงู„ input ู‡ูˆ ุงู„ุญู‚ูŠู‚ูŠ ูˆ
1552
+
1553
+ 389
1554
+ 00:36:56,420 --> 00:37:01,860
1555
+ ู‡ุฐุง ุงูŠุดุŸ ู‡ุฐุง ุงู„ output ุงู„ู…ุฌุฑุฏ ู„ุฃู† I plot ู‡ุฐุง ุงู„
1556
+
1557
+ 390
1558
+ 00:37:01,860 --> 00:37:06,800
1559
+ input ูˆ
1560
+
1561
+ 391
1562
+ 00:37:06,800 --> 00:37:13,800
1563
+ ู‡ุฐุง ุงูŠุดุŸ ุงู„ outputู†ุธุฑูŠุง ุงู„ input ู„ุงุฒู… ูŠูƒูˆู† ู†ูุณู‡ ุงูˆ
1564
+
1565
+ 392
1566
+ 00:37:13,800 --> 00:37:19,260
1567
+ ุงู„ output ู†ุธุฑูŠุง ุงุฐุง ู‡ู†ุง ุญุงุทุท ุฎู…ุณูŠู† ู„ุงุฒู… ูŠุนุทูŠู†ุง ู‡ู†ุง
1568
+
1569
+ 393
1570
+ 00:37:19,260 --> 00:37:23,980
1571
+ ุฎู…ุณูŠู† ุญุงุทุท ู…ูŠุฉ ู„ุงุฒู… ูŠุนุทูŠู†ุง ู…ูŠุฉ ุงู„ุขู†
1572
+
1573
+ 394
1574
+ 00:37:23,980 --> 00:37:32,180
1575
+ I plot ู‡ู†ุง ุนู†ุฏูŠ ุงู„ input ูˆู‡ู†ุง
1576
+
1577
+ 395
1578
+ 00:37:32,180 --> 00:37:34,640
1579
+ ุนู†ุฏูŠ ุงู„ output
1580
+
1581
+ 396
1582
+ 00:37:42,770 --> 00:37:50,930
1583
+ ูŠุนู†ูŠ ุงู†ุง ุญูƒูŠู†ุง ู‡ูŠ .. ู‡ูŠ ู…ูŠุฉ ู‡ูŠ ู…ูŠุฉ ู‡ูŠ ุฎู…ุณูŠู† ูˆู‡ูŠ
1584
+
1585
+ 397
1586
+ 00:37:50,930 --> 00:37:57,530
1587
+ ุณูุฑ ู„ู…ุง ูƒุงู† ุณูุฑ ุฃุนุทุงู†ูŠ ุฃูˆู„ ู‚ุฑุงุกุฉ ู‡ู†ุง ุตุญ ุนู†ุฏ
1588
+
1589
+ 398
1590
+ 00:37:57,530 --> 00:38:06,030
1591
+ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุนู†ุฏ
1592
+
1593
+ 399
1594
+ 00:38:06,030 --> 00:38:16,020
1595
+ ู…ูŠุฉ ุฃุนุทุงู†ูŠ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ููŠ ุงู„ุฑุฌูˆุนุนู†ุฏ ุฎู…ุณูŠู† ุฃุนุทุงู†ูŠ
1596
+
1597
+ 400
1598
+ 00:38:16,020 --> 00:38:23,540
1599
+ ุงู„ูˆุงุญุฏ ูˆ ุฎู…ุณูŠู† ูˆุจุนุฏูŠู† ุฃุนุทุงู†ูŠ ู‚ูŠู…ุฉ ู‡ู†ุง ูุตุงุฑ ู‡ูˆ ุฃู†ุง
1600
+
1601
+ 401
1602
+ 00:38:23,540 --> 00:38:32,060
1603
+ ู‡ุฏู ุงู„ loading ูƒุงู† ุฒูŠ ู‡ูŠูƒ ูุงู„ unloading ุตุงุฑ ุฒูŠ ู‡ูŠูƒ
1604
+
1605
+ 402
1606
+ 00:38:37,170 --> 00:38:39,310
1607
+ ู…ูุฑูˆุถ ู†ูุณ ุงู„ูˆุฒู†ุŒ ุงู„ู…ูุฑูˆุถ ู†ูุณ ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงูˆ ู†ูุณ
1608
+
1609
+ 403
1610
+ 00:38:39,310 --> 00:38:41,310
1611
+ ุงู„ู„ูŠ .. ุงู†ุง ุนู†ุฏู‰ ู‡ู†ุง ุฌูˆู‡ ุงู„ุฌู‡ุงุฒ ููŠ ุงู„ design
1612
+
1613
+ 404
1614
+ 00:38:41,310 --> 00:38:45,350
1615
+ ุงู„ุฌู‡ุงุฒ ุจูŠูƒูˆู† ุฏูŠ strain gauges ุงูˆ four ุณู„ ุนู†ุฏู‰ four
1616
+
1617
+ 405
1618
+ 00:38:45,350 --> 00:38:52,130
1619
+ ุณู„ ุงู†ู‡ ุจูŠุตูŠุฑ ุนู†ุฏู‰ ุจุงู„ุธุจุท ูŠุนู†ูŠ ุจูŠุตูŠุฑ ุงู„ุง ูŠุตูŠุฑ ูŠุนู†ูŠ
1620
+
1621
+ 406
1622
+ 00:38:52,130 --> 00:38:58,270
1623
+ something ูŠุนู†ูŠ ุงุดูŠ ุฏุงุฆู… ุฏุงุฆู… ูˆู„ูˆ ุดูƒู„ ู„ุญุธุฉ ูŠุนู†ูŠ
1624
+
1625
+ 407
1626
+ 00:38:58,270 --> 00:39:03,830
1627
+ ุจูŠุตูŠุฑ ููŠุงุด ุฅุนุงู‚ุฉ ุฅู„ู‰ ุญุฏ ู…ุง ุงู†ุชุงู†ุช you stream ุชุนู…ู„
1628
+
1629
+ 408
1630
+ 00:39:03,830 --> 00:39:06,470
1631
+ deformation ููŠ ุงุดูŠู‡ ุงู„ deformation ู‡ุฐูŠ ุจุชุชุญูˆู„
1632
+
1633
+ 409
1634
+ 00:39:06,470 --> 00:39:11,250
1635
+ ู„ู„ูŠุงุด ู„ูƒุชู„ุฉ ููŠ ุนู„ุงู‚ุฉ ู„ .. ู„ .. ู„ .. ู„ูƒุชู„ุฉ ูู‡ูˆ ููŠ
1636
+
1637
+ 410
1638
+ 00:39:11,250 --> 00:39:16,170
1639
+ ู…ุงุฑุฌุนุด ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ูููŠ ุงู„ loading ุตุงุฑ ุงุดูŠู‡ ู‚ูˆุงู…ูƒ
1640
+
1641
+ 411
1642
+ 00:39:16,170 --> 00:39:22,830
1643
+ ููŠ ุงู„ loading ูˆ ููŠ ุงู„ุฑุฌุนุฉ ู…ุงุฑุฌุนุด ูƒุฃู†ู‡ ุฒู…ุจุฑูƒ ุงู„ู…ุงุฏุฉ
1644
+
1645
+ 412
1646
+ 00:39:22,830 --> 00:39:29,190
1647
+ ุชุนุชุจุฑ ูƒุฃู†ู‡ุง ุฒู…ุจุฑูƒ ู…ุงุฑุฌุนุด ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู
1648
+
1649
+ 413
1650
+ 00:39:29,190 --> 00:39:34,250
1651
+ ..ูˆ ุจุนู…ู„ curve fit ู‡ูŠุทู„ุน ุงูˆ linear fit ุจุทู„ุน ุงู„ุงุดูŠ
1652
+
1653
+ 414
1654
+ 00:39:34,250 --> 00:39:43,090
1655
+ ุฒูŠ ู‡ูŠูƒ ู‡ู†ุงุฎุฏ ุงู„ุฑุณู… ุงู„ู„ูŠ ู‡ูˆ ุนู…ู„ู‡ุง ุทุจุนุง
1656
+
1657
+ 415
1658
+ 00:39:43,090 --> 00:39:46,410
1659
+ ู‡ุฐุง ู‡ูˆ ุงู„ ideal curve one to one ูŠุนู†ูŠ ุฎู…ุณูŠู† ู„ุงุฒู…
1660
+
1661
+ 416
1662
+ 00:39:46,410 --> 00:39:50,790
1663
+ ุชุนุทูŠู†ูŠ ุฎู…ุณูŠู† ู…ูŠุฉ ู„ุงุฒู… ุชุนุทูŠู†ูŠ ู…ูŠุฉ ู„ูƒู† ู‡ูˆ ู…ุงุนุทุงู†ูŠุด
1664
+
1665
+ 417
1666
+ 00:39:50,790 --> 00:39:55,150
1667
+ ุงู„ุฎู…ุณูŠู† ุฎู…ุณูŠู† ู‡ุงูŠ ุทู„ุนุช ุงุดูŠ ุชุงู†ูŠ ุงู„ slope ุจุณูˆูŠุด
1668
+
1669
+ 418
1670
+ 00:39:55,150 --> 00:40:03,060
1671
+ ูˆุงุญุฏ ู‡ุฐุง linearity errorู„ู…ุง ู†ุนู…ู„ care fit ุงู„ู…ูุฑูˆุถ
1672
+
1673
+ 419
1674
+ 00:40:03,060 --> 00:40:07,580
1675
+ ู‡ุฐุง ู†ุธุฑูŠุง ูŠุฌูŠ ูˆูŠู† ููŠ ุงู„ุณูุฑ ู…ุงุฌูŠู‡ุด ููŠ ุงู„ุณูุฑ ููŠ sum
1676
+
1677
+ 420
1678
+ 00:40:07,580 --> 00:40:21,200
1679
+ offset ุจูŠุณู…ูˆู‡ุง zero offset ูุนู†ุฏูƒ
1680
+
1681
+ 421
1682
+ 00:40:21,200 --> 00:40:26,160
1683
+ ุงู„ zero offset ูƒู„
1684
+
1685
+ 422
1686
+ 00:40:26,160 --> 00:40:27,340
1687
+ ุงู„ู‚ุฑุงุกุงุช ู‡ุชูƒูˆู†
1688
+
1689
+ 423
1690
+ 00:40:30,360 --> 00:40:36,920
1691
+ ู…ุฒุงุญุฉ ..ู…ุฒุงุญุฉ ู…ุซู„ุง ุจ point one ุจูˆุงุญุฏ ูู‡ุฐุง ุจุณู…ูŠู‡ ููŠ
1692
+
1693
+ 424
1694
+ 00:40:36,920 --> 00:40:44,160
1695
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจูŠูƒูˆู† systematic ุฃูˆ bias error
1696
+
1697
+ 425
1698
+ 00:40:50,590 --> 00:40:54,150
1699
+ ุงู„ุฅุฑุฑ ุงู„ุชุงู†ูŠ ู‡ูˆ ุงู„ scale error ุงู„ู…ูุฑูˆุถ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†
1700
+
1701
+ 426
1702
+ 00:40:54,150 --> 00:40:57,110
1703
+ ุงู„ input ูˆ ุงู„ output ูˆุงุญุฏ ู„ูˆุงุญุฏ ู‡ุฐุง ุงู„ุญุงู„ุฉ
1704
+
1705
+ 427
1706
+ 00:40:57,110 --> 00:41:02,490
1707
+ ุงู„ู†ู…ูˆุฐุฌูŠุฉ ู„ูƒู† ุงู„ุญุงู„ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ุด ูˆุงุญุฏ ู„ูˆุงุญุฏ ุทูŠุจ
1708
+
1709
+ 428
1710
+ 00:41:02,490 --> 00:41:08,190
1711
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠ ุจูŠุชุง ุงู„ slope ู‡ูŠ ู…ุด ูˆุงุญุฏ ู‡ุฐุง scale
1712
+
1713
+ 429
1714
+ 00:41:08,190 --> 00:41:12,690
1715
+ error ุฏุงูŠู…ุง ุจูŠูƒูˆู† ุนู†ุฏูƒ error ุจู†ูุณ ุงู„ percentage
1716
+
1717
+ 430
1718
+ 00:41:12,690 --> 00:41:14,710
1719
+ error ุจู†ูุณ ุงู„ percentage ุงู†ุง ุจุญูƒูŠ ุนู† ุงู„ percentage
1720
+
1721
+ 431
1722
+ 00:41:14,710 --> 00:41:19,510
1723
+ error ุญุงู„ูŠุง ู…ุด ู‚ูŠู…ุฉ ุซุงุจุชุฉูŠุนู†ูŠ ู…ุซู„ุง ููŠ ุฒูŠุงุฏุฉ ุนู†ุฏูŠ
1724
+
1725
+ 432
1726
+ 00:41:19,510 --> 00:41:25,490
1727
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†ุช ุงู„ู‚ุฑุงุฉ ๏ฟฝ๏ฟฝูŠุฉ ูƒูŠู„ูˆ ุงู„ุฎู…ุณุฉ
1728
+
1729
+ 433
1730
+ 00:41:25,490 --> 00:41:35,350
1731
+ ุงู„ู…ูŠุฉ ุฃูƒู… ู…ู†ู‡ุง ุงุชู†ูŠู† ุตุญุŸ ุทูŠุจ ู„ูˆ ูƒุงู†ุช ุนุดุฑุฉ ูƒูŠู„ูˆ ุฃูƒู…
1732
+
1733
+ 434
1734
+ 00:41:35,350 --> 00:41:40,450
1735
+ ุงู„ู„ูŠ ุฑูˆุญ ูŠูƒูˆู† ู‡ูƒูˆู† ุงุชู†ูŠู† ู…ู† ุนุดุฑุฉ ู‡ุชูƒูˆู† ุงุชู†ูŠู† ู…ู†
1736
+
1737
+ 435
1738
+ 00:41:40,450 --> 00:41:46,570
1739
+ ุนุดุฑุฉ ู…ุนู†ุงุชู‡ ุงู„ percentage fixed ู„ูƒู† ุงู„ value ู…ุด
1740
+
1741
+ 436
1742
+ 00:41:46,570 --> 00:41:52,450
1743
+ ุซุงุจุชุฉูู‡ุฐุง ูŠุณู…ู‰ Scale Error ุงู„ู€ Zero Offset ุจุบุถ ู†ุธุฑ
1744
+
1745
+ 437
1746
+ 00:41:52,450 --> 00:41:58,930
1747
+ ุนู† ู‚ูŠู…ุฉ ุงู„ input ุงู„ุฎุทุฃ ุซุงุจุช ุงู„ุฎุทุฃ ุงูŠุด ุซุงุจุช ู‡ุฐู‡
1748
+
1749
+ 438
1750
+ 00:41:58,930 --> 00:42:02,330
1751
+ ุงู„ุฎุทุฃ ุงู„ู„ูŠ ู‡ูˆ Zero Offset ูˆ Scale Error ู‡ุฐู‡
1752
+
1753
+ 439
1754
+ 00:42:02,330 --> 00:42:06,690
1755
+ Calibration Error ุงู„ู„ูŠ ู‡ูŠ ุฃุฎุทุงุก ููŠ ู†ุชูŠุฌุฉ ุงู„ู…ุนุงูŠุฑุฉ
1756
+
1757
+ 440
1758
+ 00:42:06,690 --> 00:42:14,630
1759
+ ููŠ
1760
+
1761
+ 441
1762
+ 00:42:14,630 --> 00:42:20,670
1763
+ ุงู„ human errors ุงู„ุฃุฎุทุงุกุงู„ู„ูŠ ู‡ูŠ ู†ุชูŠุฌุฉ ุงู„ุนุงู…ู„ ุงู„ุจุดุฑูŠ
1764
+
1765
+ 442
1766
+ 00:42:20,670 --> 00:42:24,470
1767
+ ู…ู…ูƒู†
1768
+
1769
+ 443
1770
+ 00:42:24,470 --> 00:42:29,650
1771
+ ุชูƒูˆู† systematic ุน
1772
+
1773
+ 444
1774
+ 00:42:29,650 --> 00:42:33,750
1775
+ ุณุจูŠู„ ู…ุซุงู„ ู„ู…ุง ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ ุฏุงูŠู…ุง
1776
+
1777
+ 445
1778
+ 00:42:33,750 --> 00:42:40,210
1779
+ ุจูŠุญุงูˆู„ ูŠุนุทูŠ ุงู„ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุจูŠุญุงูˆู„ ุฏุงูŠู…ุง ุจู‚ุฏุฑ ุฃุนู„ู‰
1780
+
1781
+ 446
1782
+ 00:42:40,210 --> 00:42:44,810
1783
+ ุจู‚ุฏุฑ ุฃุนู„ู‰ ู…ุซู„ุง ูˆุงุญุฏ ุจูŠู‚ุฑุฃ ู‚ุฑุงุกุฉ ู…ุคุดุฑ
1784
+
1785
+ 447
1786
+ 00:42:49,400 --> 00:42:57,140
1787
+ ู‡ุฐู‡ ุงู„ู…ุคุดุฑ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1788
+
1789
+ 448
1790
+ 00:42:57,140 --> 00:42:57,140
1791
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1792
+
1793
+ 449
1794
+ 00:42:57,140 --> 00:43:01,780
1795
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1796
+
1797
+ 450
1798
+ 00:43:01,780 --> 00:43:02,380
1799
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1800
+
1801
+ 451
1802
+ 00:43:02,380 --> 00:43:02,460
1803
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1804
+
1805
+ 452
1806
+ 00:43:02,460 --> 00:43:02,520
1807
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1808
+
1809
+ 453
1810
+ 00:43:02,520 --> 00:43:04,300
1811
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ
1812
+
1813
+ 454
1814
+ 00:43:04,300 --> 00:43:12,690
1815
+ ุชุฏุฑูŠุฌ ุชุฏุฑูŠุฌ ุชุฏุฑูŠู‡ุฐุง ู‡ูŠ ู…ู† error ุทุจุนุง ุฏุงูŠู…ุง ุชู‚ุฏูŠุฑ
1816
+
1817
+ 455
1818
+ 00:43:12,690 --> 00:43:16,190
1819
+ .. ุทุจุนุง ุจูŠูƒูˆู† systematic ุฅุฐุง ุฏุงูŠู…ุง ุจูŠุนุทูŠู‡ ุชู‚ุฏูŠุฑ
1820
+
1821
+ 456
1822
+ 00:43:16,190 --> 00:43:21,390
1823
+ ุฃุนู„ู‰ ุจุณ ุจูŠูƒูˆู† .. ุจูŠูƒูˆู† precision ุฅุฐุง ู‡ูˆ ูุนู„ุง ู…ุด
1824
+
1825
+ 457
1826
+ 00:43:21,390 --> 00:43:24,050
1827
+ ุฏุงูŠู…ุง ุจูŠุนุทูŠ ู†ูุณ ุงู„ุชู‚ุฏูŠุฑ ู…ุฑุงุช ุจูŠุนุทูŠ ุชู‚ุฏูŠุฑ ุฃุนู„ู‰ ู…ุฑุงุช
1828
+
1829
+ 458
1830
+ 00:43:24,050 --> 00:43:27,350
1831
+ ุจูŠุนุทูŠ ุชู‚ุฏูŠุฑ ุฃู‚ู„ ุจูŠูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ precision
1832
+
1833
+ 459
1834
+ 00:43:27,350 --> 00:43:31,190
1835
+ error ู…ุด systematic ุจุณ ุฏุงูŠู…ุง ุฅุฐุง ุจูŠุนุทูŠ ุฏุงูŠู…ุง ู‚ูŠู…ุฉ
1836
+
1837
+ 460
1838
+ 00:43:31,190 --> 00:43:34,710
1839
+ ุฃุนู„ู‰ ุฏุงูŠู…ุง ู‚ูŠู…ุฉ ุฃุนู„ู‰ ุฃูˆ ุฏุงูŠู…ุง ู‚ูŠู…ุฉ ุฃูˆุทุฉ ุจูŠูƒูˆู†
1840
+
1841
+ 461
1842
+ 00:43:34,710 --> 00:43:35,210
1843
+ systematic
1844
+
1845
+ 462
1846
+ 00:43:39,400 --> 00:43:44,760
1847
+ equipment itself ุงู„ู…ุนุฏุงุช may introduce built-in
1848
+
1849
+ 463
1850
+ 00:43:44,760 --> 00:43:51,400
1851
+ errors ู…ู…ูƒู† ุชุนุทูŠู‡ู… ุงู„ุฌู‡ุงุฒ ุฎุทุฃ ู†ุชูŠุฌุฉ ุงู†ู‡ ููŠ ุฎุทุฃ ููŠ
1852
+
1853
+ 464
1854
+ 00:43:51,400 --> 00:43:56,800
1855
+ ุงู„ design ูƒุงู„ุฌู‡ุงุฒ ุงูˆ ููŠ ุงู„ุชุตู†ูŠุน ุงูˆ ู„ู…ุง ุงู„ุนู…ุงู„ ู„ู‡
1856
+
1857
+ 465
1858
+ 00:43:56,800 --> 00:44:00,840
1859
+ ุงู„ุตูŠุงู†ุฉ ู…ุงุฑุฌุนุด ุฒูŠ ู…ุง ูƒุงู† ุงู„ุนู…ุงู„ ู„ู‡ ุงู„ุตูŠุงู†ุฉ ู…ุงู…ุดูŠุด
1860
+
1861
+ 466
1862
+ 00:44:00,840 --> 00:44:03,440
1863
+ ุนู„ู‰ ุงู„ protocol ุจุชุงุน ุงู„ู…ุตู†ุน ุตุญ
1864
+
1865
+ 467
1866
+ 00:44:10,320 --> 00:44:17,580
1867
+ ุงู„ equipment ุงู„ู„ูŠ ู‡ูŠ built-in error ู…ู…ูƒู† ุชูƒูˆู† ู†ุงุฌุญ
1868
+
1869
+ 468
1870
+ 00:44:17,580 --> 00:44:21,280
1871
+ such errors result from defective mechanical or
1872
+
1873
+ 469
1874
+ 00:44:21,280 --> 00:44:24,400
1875
+ electrical components incorrect scale graduations
1876
+
1877
+ 470
1878
+ 00:44:24,400 --> 00:44:30,120
1879
+ and so forth ู…ู…ูƒู† ุชูƒูˆู† ููŠ ุฎุทุฃ ููŠ ุงู„ู‚ุทุน
1880
+
1881
+ 471
1882
+ 00:44:30,120 --> 00:44:33,380
1883
+ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุฃูˆ ุงู„ูƒู‡ุฑุจุง ุชูƒูˆู† defective ููŠู‡ุง ู…ุดุงูƒู„
1884
+
1885
+ 472
1886
+ 00:44:33,380 --> 00:44:38,840
1887
+ ุงูˆ ุงู„ุชุฏุฑุฌุงุช ุชุนุชู‡ ู…ุด ุฏู‚ูŠู‚ุฉ ูˆ ู‡ูƒุฐุง
1888
+
1889
+ 473
1890
+ 00:44:42,130 --> 00:44:45,630
1891
+ errors of this type ุงู„ู„ูŠ ุฎุทุฃ ู…ู† ู‡ุฐุง ุงู„ู†ูˆุน ุงู„
1892
+
1893
+ 474
1894
+ 00:44:45,630 --> 00:44:50,070
1895
+ comment error are often consistent in sign ุฏุงูŠู…ุง
1896
+
1897
+ 475
1898
+ 00:44:50,070 --> 00:44:55,890
1899
+ ูŠุง ุจูŠูƒูˆู† ู…ูˆุฌุจ ูŠุง ุฏุงูŠู…ุง ุจูŠูƒูˆู† ุณุงู„ุจ ู‚ูŠู…ุชู‡ุง ุชู‚ุฑูŠุจุง
1900
+
1901
+ 476
1902
+ 00:44:55,890 --> 00:45:02,770
1903
+ ุชูƒูˆู† ุฏุงูŠู…ุง ุซุงุจุชุฉ ูˆุจุงู„ุชุงู„ูŠ ู…ู…ูƒู† ุงุนุชุจุฑู‡ุง ุงูˆ ุจุงุนุชุจุฑู‡ุง
1904
+
1905
+ 477
1906
+ 00:45:02,770 --> 00:45:07,550
1907
+ systematic ุงูˆ bias errors ูˆูŠู…ูƒู† ู…ุนุงู„ุฌุชู‡ุง ู…ู† ุฎู„ุงู„
1908
+
1909
+ 478
1910
+ 00:45:07,550 --> 00:45:09,470
1911
+ ุฅุนุงุฏุฉ ู…ุนุงูŠุฑุฉ ู„ู„ุฌู‡ุงุฒ
1912
+
1913
+ 479
1914
+ 00:45:15,370 --> 00:45:22,470
1915
+ ุงู„ู€ loading error ุงู„
1916
+
1917
+ 480
1918
+ 00:45:22,470 --> 00:45:25,630
1919
+ loading error it refers to the influence of
1920
+
1921
+ 481
1922
+ 00:45:25,630 --> 00:45:28,610
1923
+ measurement procedure on the system being tested
1924
+
1925
+ 482
1926
+ 00:45:28,610 --> 00:45:33,730
1927
+ ุงู„ loading error ุจูŠุนุชู…ุฏ ู‡ูˆ ุงู„ error ุงู„ู†ุงุชุฌ ุนู†
1928
+
1929
+ 483
1930
+ 00:45:33,730 --> 00:45:40,790
1931
+ ุชุฃุซูŠุฑุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰
1932
+
1933
+ 484
1934
+ 00:45:40,790 --> 00:45:49,070
1935
+ ุงู„ู†ุชูŠุฌุฉ ุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ ูŠุนู†ูŠ
1936
+
1937
+ 485
1938
+ 00:45:49,070 --> 00:45:55,490
1939
+ ู…ู…ูƒู†
1940
+
1941
+ 486
1942
+ 00:45:55,490 --> 00:46:02,350
1943
+ ูˆ ุญุฏุง ุญุงุฌุฉ ุจุฏู‡ ุงู‚ูŠุณ ุฏุฑุฌุฉ ู‡ุงูŠ ุงู†ุจูˆุจ ููŠู‡ ู…ุงุดูŠ fluid
1944
+
1945
+ 487
1946
+ 00:46:02,350 --> 00:46:04,670
1947
+ ูˆ ุจุฏู‡ ุงู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
1948
+
1949
+ 488
1950
+ 00:46:08,120 --> 00:46:13,980
1951
+ ู…ู…ูƒู† ุญุฏุง ูŠุญุท ุงู„ sensor ูŠุญุทู‡ .. ูŠุญุทู‡ ู‡ู†ุง ุงู„ sensor
1952
+
1953
+ 489
1954
+ 00:46:13,980 --> 00:46:23,360
1955
+ ู‡ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุญุฏุง ูŠุญุท ุงู„ sensor ููŠ ุงู„ู†ุต
1956
+
1957
+ 490
1958
+ 00:46:23,360 --> 00:46:30,360
1959
+ ูุทุฑูŠู‚ุฉ
1960
+
1961
+ 491
1962
+ 00:46:30,360 --> 00:46:35,480
1963
+ ูˆุถุน ุงู„ sensor ุจุชุฃุซุฑ ุนู„ู‰ ุฅูŠุดุŸ ุงู„ู‚ุฑุงุกุฉ ุจุชุฃุซุฑ ุนู„ู‰
1964
+
1965
+ 492
1966
+ 00:46:35,480 --> 00:46:36,960
1967
+ ุงู„ู‚ุฑุงุกุฉ
1968
+
1969
+ 493
1970
+ 00:46:42,530 --> 00:46:47,490
1971
+ ู…ุซู„ุง ุจุฏูŠ ุงู‚ูŠุต ุงู„ flow meter ุงู„ flow ุชุฏูู‚ ููŠ ุงู†ุจูˆุจ
1972
+
1973
+ 494
1974
+ 00:46:47,490 --> 00:47:04,830
1975
+ ุนุดุงู† ุงู‚ูŠุต ุงู„ุฏูู‚ ู…ู…ูƒู† ุงุถุทุฑ ุงุนู…ู„ ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ุงุญุท
1976
+
1977
+ 495
1978
+ 00:47:04,830 --> 00:47:05,510
1979
+ ุณุงุนุฉ ุถุบุท
1980
+
1981
+ 496
1982
+ 00:47:16,030 --> 00:47:22,390
1983
+ ุงู„ุงู† ูˆูŠู† ุงุญุท ู‡ุฐู‡ ูˆูŠู† ุงุญุท ู‡ุฐู‡ ุจุฑุถู‡ ุงูŠุด ู…ู‡ู… ุชูุงุตูŠู„
1984
+
1985
+ 497
1986
+ 00:47:22,390 --> 00:47:25,730
1987
+ ุงู„ุฒูˆุงูŠุง ูˆ ุงู„ุฃู‚ุทุงุฑ ุจุฑุถู‡ ุงูŠุด ู…ู‡ู… ูŠุนู†ูŠ ุทุฑูŠู‚ุฉ ูˆุถุน
1988
+
1989
+ 498
1990
+ 00:47:25,730 --> 00:47:29,950
1991
+ ุงู„ุฌู‡ุงุฒ ู…ู…ูƒู† ุชุฃุซุฑ ุนู„ู‰ ุงู„ู‚ุฑุงุกุฉ ู…ุซุงู„ ุชุงู†ูŠ ู„ูˆ ุจุฏุฃ ุงุญุท
1992
+
1993
+ 499
1994
+ 00:47:29,950 --> 00:47:38,650
1995
+ mic ุงูˆ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ sound pressure level ุงู„ู„ูŠ ู‡ูˆ
1996
+
1997
+ 500
1998
+ 00:47:38,650 --> 00:47:44,830
1999
+ ุงู„ุดุฏุฉ ุงู„ุตูˆุชูŠุฉ ุงูˆ ุถุบุท ุงู„ุตูˆุช ุญุทูŠุช ุงู†ุง ุฌู‡ุงุฒ ู‡ู†ุงุฃุญุทุช
2000
+
2001
+ 501
2002
+ 00:47:44,830 --> 00:47:49,570
2003
+ ุฌู‡ุงุฒ ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ุจุณ ูˆุฌูˆุฏู‡ ู‡ู†ุง ูˆุฌูˆุฏู‡ ุงู„ุฌู‡ุงุฒ ุงู„ูƒุจูŠุฑ
2004
+
2005
+ 502
2006
+ 00:47:49,570 --> 00:47:54,730
2007
+ ู…ุซู„ุง ุงูŠุด ู‡ูŠุฃุซุฑ ุงู„ุตูˆุช ุนุจุงุฑุฉ ุนู† ู…ูˆุฌุฉ ุงูŠุดุŸ ู…ูŠูƒุงู†ูŠูƒูŠุฉ
2008
+
2009
+ 503
2010
+ 00:47:54,730 --> 00:48:02,190
2011
+ ู…ุนู†ุงุชู‡ ู‡ู†ุง ุตุงุฑ disturbance ู„ู„ู…ูˆุฌุฉ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ
2012
+
2013
+ 504
2014
+ 00:48:02,190 --> 00:48:05,670
2015
+ ู…ุนู†ุงุชู‡ ู‡ูˆ ูุนู„ุง ูˆุฌูˆุฏู‡ ููŠ ุงู„ู…ูƒุงู† ู‡ุฐุง ู…ุงุนุทุงู†ูŠุด ุฃุซุฑ
2016
+
2017
+ 505
2018
+ 00:48:05,670 --> 00:48:09,630
2019
+ ุนู„ู‰ ุงู„ู‚ุฑุงุกุฉ ู…ุงุนุทุงู†ูŠุด ู‚ุฑุงุกุฉ ุญู‚ูŠู‚ูŠุฉ ู„ .. ู„ู„ .. ู„ู„
2020
+
2021
+ 506
2022
+ 00:48:09,630 --> 00:48:15,320
2023
+ sound pressure level ู‡ุฐุง ูŠุณู…ู‰ loading errorุงู„ุงู†
2024
+
2025
+ 507
2026
+ 00:48:15,320 --> 00:48:17,560
2027
+ minimizing the influence of the measuring
2028
+
2029
+ 508
2030
+ 00:48:17,560 --> 00:48:20,560
2031
+ instrument on a measured variable is a major
2032
+
2033
+ 509
2034
+ 00:48:20,560 --> 00:48:25,020
2035
+ objective in designing an experiment ูŠุนู†ูŠ ุฃุญุฏ
2036
+
2037
+ 510
2038
+ 00:48:25,020 --> 00:48:32,640
2039
+ ุฃู‡ุฏุงู ุชุตู…ูŠู… ุงู„ุชุฌุงุฑุจ ุฃู†ู‡ ุฃู‚ู„ู„ ุชุฃุซูŠุฑ ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู…
2040
+
2041
+ 511
2042
+ 00:48:32,640 --> 00:48:39,550
2043
+ ููŠ ุงู„ู‚ูŠุงุณ ุนู„ู‰ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุงูŠุนู†ูŠ ุจุฏูŠ ุฃุญุท ุงู„
2044
+
2045
+ 512
2046
+ 00:48:39,550 --> 00:48:44,810
2047
+ sensor ููŠ ู…ูƒุงู† ู…ู†ุงุณุจ ุจุญูŠุซ ู…ุงูŠุนุทูŠู†ูŠุด ุชุฃุซูŠุฑ ุณู„ุจูŠ ุนู„ู‰
2048
+
2049
+ 513
2050
+ 00:48:44,810 --> 00:48:46,450
2051
+ ุฏู‚ุฉ ุงู„ู‚ุฑุงุกุฉ
2052
+
2053
+ 514
2054
+ 00:49:00,820 --> 00:49:03,880
2055
+ variations in the actual quantity being measured
2056
+
2057
+ 515
2058
+ 00:49:03,880 --> 00:49:08,800
2059
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุงุฎุชู„ุงูุงุช ููŠ ุงู„ูƒูŠู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู…ุฑุงุฏ
2060
+
2061
+ 516
2062
+ 00:49:08,800 --> 00:49:13,100
2063
+ ู‚ูŠุงุณู‡ุง may also appear as a precision error ู…ู…ูƒู†
2064
+
2065
+ 517
2066
+ 00:49:13,100 --> 00:49:18,740
2067
+ ุชุธู‡ุฑ ุนู„ู‰ ุดูƒู„ precision ุฃูˆ random error sometimes
2068
+
2069
+ 518
2070
+ 00:49:18,740 --> 00:49:21,580
2071
+ these variations are a result of experimental
2072
+
2073
+ 519
2074
+ 00:49:21,580 --> 00:49:27,720
2075
+ design ู‡ุฐู‡ ุงู„ุงุฎุชู„ุงูุงุช ููŠ ุงู„ู‚ุฑุงุกุงุช ู†ุชูŠุฌุฉ ุชุตู…ูŠู…
2076
+
2077
+ 520
2078
+ 00:49:27,720 --> 00:49:32,130
2079
+ ุงู„ุชุฌุฑุจุฉas when a system designed to run at a
2080
+
2081
+ 521
2082
+ 00:49:32,130 --> 00:49:34,670
2083
+ constant speed instead has a varying speed ูŠุนู†ูŠ
2084
+
2085
+ 522
2086
+ 00:49:34,670 --> 00:49:44,650
2087
+ ู…ู…ูƒู† ุงู†ุง ุจุญุงุท .. ุญุงุทุท ุฌู‡ุงุฒ ุงุญุงุทุท ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ
2088
+
2089
+ 523
2090
+ 00:49:44,650 --> 00:49:49,730
2091
+ ุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ู„ู„ู‡ูˆุงุก ุงู„ู…ุญูŠุท ููŠ ุงู„ุณูŠุงุฑุฉ ุงู„ุฌู‡ุงุฒ ู…ุตู…ู…
2092
+
2093
+ 524
2094
+ 00:49:49,730 --> 00:49:54,090
2095
+ ุงู† ุชูƒูˆู† ุงู„ุณูŠุงุฑุฉ ู…ุงุดูŠุฉ ุจุณุฑุนุฉ ุซุงุจุชุฉ ู„ูƒู† ุงูุฑุถ ุงู„ุณูŠุงุฑุฉ
2096
+
2097
+ 525
2098
+ 00:49:54,090 --> 00:49:59,450
2099
+ ุชุณุงุฑุนุฉ ุตุงุฑ ููŠู‡ุง ุชุณุงุฑุนุฉ ู‡ุชุนุทูŠ ู†ุชุงุฆุฌ ู…ุด ู…ุฎุชู„ูุฉ
2100
+
2101
+ 526
2102
+ 00:50:09,650 --> 00:50:13,590
2103
+ ุทูŠุจ ุงู„ุขู† ุงู„ legitimate errors are errors that
2104
+
2105
+ 527
2106
+ 00:50:13,590 --> 00:50:17,430
2107
+ would not be expected ุงู„ุฃุฎุทุงุก ุงู„ุบูŠุฑ ุดุฑุนูŠุฉ ู‡ูŠ ุฃุฎุทุงุก
2108
+
2109
+ 528
2110
+ 00:50:17,430 --> 00:50:25,330
2111
+ ู…ุด ู„ุงุฒู… ู†ุชูˆู‚ุนู‡ุง ุฃูˆ ู…ุด ู„ุงุฒู… ุชุตูŠุฑ these include
2112
+
2113
+ 529
2114
+ 00:50:25,330 --> 00:50:32,970
2115
+ mistakes ู‡ุฐู‡ ุชุชุถู…ู† ุฃุฎุทุงุก ูŠุนู†ูŠ
2116
+
2117
+ 530
2118
+ 00:50:32,970 --> 00:50:38,150
2119
+ ู…ุซู„ุง ุจุฏู‡ุง ู…ู† ุฎู„ุงู„ ุฃู† ุฃู†ุง ุฃู†ุชุจู‡ุฎู„ุงู„ ุฅุฌุฑุงุก ู„ู„ุชุฌุฑุจุฉ
2120
+
2121
+ 531
2122
+ 00:50:38,150 --> 00:50:42,390
2123
+ ุฃูƒูˆู† ุญุฑูŠุต ุนุดุงู† ูƒุฏู‡ ู„ู…ุง ุฃุฌูŠ ุฃุนู…ู„ ุชุฌุฑุจุฉ ุฃูˆู„ ู…ุฑุฉ
2124
+
2125
+ 532
2126
+ 00:50:42,390 --> 00:50:49,010
2127
+ ุจูŠุณูˆูŠู‡ุง ุจุนู…ู„ ุชุฌุฑุจุฉ ู„ูˆ ุน ุงู„ุณุฑูŠุน ุนุดุงู† ุฃุงุฎุฏ ุนู„ู‰
2128
+
2129
+ 533
2130
+ 00:50:49,010 --> 00:50:52,960
2131
+ ุงู„ุฌู‡ุงุฒ ุจุดุบู„ ุงู„ุฌู‡ุงุฒุจุงุฎุฏ ู‚ุฑุงุกุงุชุŒ ุจุงู‡ุชู…ุด ููŠ ุงู„ุฏู‚ุฉุŒ
2132
+
2133
+ 534
2134
+ 00:50:52,960 --> 00:50:58,100
2135
+ ุจุงุฎุฏ ู‚ุฑุงุกุงุชุŒ ุดูˆูŠุฉ ู‚ุฑุงุกุงุชุŒ ุจุดูˆู ูƒูŠู ุงู„ุฌู‡ุงุฒ ุจุงุณุชุฌูŠุจุŒ
2136
+
2137
+ 535
2138
+ 00:50:58,100 --> 00:51:01,320
2139
+ ูุงู†ุง ุจุจู†ูŠ ุฎุจุฑุฉ ุฃูˆ ุจุจู†ูŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ ูˆุจูŠู† ุงู„ุฌู‡ุงุฒ
2140
+
2141
+ 536
2142
+ 00:51:01,320 --> 00:51:04,840
2143
+ ูˆุทุฑูŠู‚ุฉ ุงู„ู‚ูŠุงุณ ูููŠ ุงู„ุฃูˆู„ ู„ุงุฒู… ุงู†ุง ุฃุงุฎุฏ ู‚ุฑุงุกุงุช ุนุดุงู†
2144
+
2145
+ 537
2146
+ 00:51:04,840 --> 00:51:08,200
2147
+ ุฃุชุนูˆุฏ ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ูˆุงุดูˆู ุงู„ุฏู‚ุฉ ุชุงุนุชู‡ ูˆูƒูŠู ุงู„ู‚ุฑุงุกุฉ
2148
+
2149
+ 538
2150
+ 00:51:08,200 --> 00:51:11,760
2151
+ ุฃุฎุฏู‡ุง ุตุญ ูˆุชูุงุตูŠู„ู‡ุง ู„ุงุฒู… ุฃุงุฎุฏู‡ุง ุนุดุงู† ู„ู…ุง ุฃุนู…ู„
2152
+
2153
+ 539
2154
+ 00:51:11,760 --> 00:51:14,940
2155
+ ุงู„ุชุฌุฑุจุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฃูƒูˆู† ุฃุนู…ู„ .. ุฃุงุฎุฏ ุงู„ู‚ุฑุงุกุฉ ุจุดูƒู„
2156
+
2157
+ 540
2158
+ 00:51:14,940 --> 00:51:15,780
2159
+ ุตุญูŠุญ
2160
+
2161
+ 541
2162
+ 00:51:24,310 --> 00:51:29,690
2163
+ backlash and mechanical frictions are important
2164
+
2165
+ 542
2166
+ 00:51:29,690 --> 00:51:37,330
2167
+ sources of variation in measuring systems ู…ุซู„ุง
2168
+
2169
+ 543
2170
+ 00:51:37,330 --> 00:51:44,330
2171
+ ุงู„ friction ู„ูˆ ุฃุฎุฏู†ุง ุงู„ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„ volt ุงู„
2172
+
2173
+ 544
2174
+ 00:51:44,330 --> 00:51:48,870
2175
+ galvanometer ุงู„
2176
+
2177
+ 545
2178
+ 00:51:48,870 --> 00:51:57,860
2179
+ galvanometer ุจูŠูƒูˆู† ุนู†ุฏู‰ู‡ูŠ ุนู†ุฏู‰ ุชุฏุฑูŠุฌ ูˆููŠู‡
2180
+
2181
+ 546
2182
+ 00:51:57,860 --> 00:52:06,380
2183
+ ุนู†ุฏู‰ ู…ุคุดุฑ ู„ุงู†
2184
+
2185
+ 547
2186
+ 00:52:06,380 --> 00:52:13,600
2187
+ ุญุทูŠุช ู‚ุณุท ุงู„ voltage ูู‰ voltage ุนู†ุฏู‰ ู‡ูŠู„ู ู‡ูˆ ู„ู ูู‰
2188
+
2189
+ 548
2190
+ 00:52:13,600 --> 00:52:20,080
2191
+ friction ูˆ ู‚ุงู…ุฉ ุงู„ friction ุงู„ู…ูุฑูˆุถ ูŠุตู„ ู‡ู†ุง ุจุณ ูˆุตู„
2192
+
2193
+ 549
2194
+ 00:52:20,080 --> 00:52:26,450
2195
+ ู‡ู†ุง ูŠุนู†ูŠ ูู‰ ุงุฎุชู„ุงููู‡ูˆ ุงุนุทุงู†ูŠ ููŠ ุงู„ loading ุงู‚ุฑุง
2196
+
2197
+ 550
2198
+ 00:52:26,450 --> 00:52:31,950
2199
+ ุงู‚ู„ ู…ู† ู…ุง ูŠุฌุจ ู„ุงู† ุงูุฑุถ ุงู†ุง ุนู…ู„ุช ุดู„ุช ู…ุตุฏุฑ ุงู„ volt
2200
+
2201
+ 551
2202
+ 00:52:31,950 --> 00:52:37,990
2203
+ ุงู„ volt difference ุดู„ุชู‡ ู‡ูŠุฑุฌุน ู…ุซู„ุง ู†ุญูƒูŠ ู‡ูŠุฑุฌุน ู…ุซู„ุง
2204
+
2205
+ 552
2206
+ 00:52:37,990 --> 00:52:44,210
2207
+ ูƒุงู† ุงู„ volt ู…ุซู„ุง 200 volt ู†ุฒู„ุชู‡ ู„ 50 ู†ุฒู„ุชู‡ ู„ 50
2208
+
2209
+ 553
2210
+ 00:52:44,210 --> 00:52:49,690
2211
+ ู‡ู…ุฏูŠู† ู†ุญูƒูŠ 50 ู‡ูŠุฑุฌุน
2212
+
2213
+ 554
2214
+ 00:52:49,690 --> 00:52:50,130
2215
+ ู…ุซู„ุง
2216
+
2217
+ 555
2218
+ 00:52:53,490 --> 00:52:57,430
2219
+ ูˆุงุญุฏ ูˆุฎู…ุณูŠู† ู†ุชูŠุฌุฉ ุจุฑุถู‡ ููŠ ุงู„ุฑุงุฌุนุฉ ุงู„ุงุญุชูƒุงูƒ ู…ุนู†ุงุชู‡
2220
+
2221
+ 556
2222
+ 00:52:57,430 --> 00:53:01,690
2223
+ ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ู…ู† ู…ุง ูŠุฌุจ ุฃู† ุชูƒูˆู† ูŠุนู†ูŠ ููŠ ุงู„
2224
+
2225
+ 557
2226
+ 00:53:01,690 --> 00:53:06,230
2227
+ loading ู†ุชูŠุฌุฉ ุงู„ friction ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ุฃู‚ู„ ู…ู† ู…ุง
2228
+
2229
+ 558
2230
+ 00:53:06,230 --> 00:53:10,530
2231
+ ูŠุฌุจ ุฃู† ุชูƒูˆู† ูุฑุฌูˆู‡ ู„ู…ุง ู†ุฒู„ุช ููŠ ุงู„ decrease ุฃุนุทุงู†ูŠ
2232
+
2233
+ 559
2234
+ 00:53:10,530 --> 00:53:15,490
2235
+ ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ู…ู† ู…ุง ูŠูƒูˆู† ุทุจุนุง ู‡ุฐู‡ ุงู„ู…ุดุงูƒู„ ู‡ุฐู‡ ู…ู…ูƒู†
2236
+
2237
+ 560
2238
+ 00:53:15,490 --> 00:53:16,410
2239
+ ุชุฌู†ุจู‡ุง
2240
+
2241
+ 561
2242
+ 00:53:18,640 --> 00:53:22,640
2243
+ ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ูˆ ุงู„ design ุงู†ู‡ ุงู†ุง ุงุนู…ู„
2244
+
2245
+ 562
2246
+ 00:53:22,640 --> 00:53:28,400
2247
+ ุงู„ุชูุงุตูŠู„ ุงู„ shaft ุงู„ุนู…ูˆุฏ ุจุชุงุน ุงู„ู…ุคุดุฑ ูˆ ุงู„
2248
+
2249
+ 563
2250
+ 00:53:28,400 --> 00:53:32,140
2251
+ materials ูˆ ุงู„ surface finish ุจุญูŠุซ ุงุชู‚ู„ ุงู„ุงุญุชูƒุงูƒ
2252
+
2253
+ 564
2254
+ 00:53:32,140 --> 00:53:38,110
2255
+ ู„ุฃู‚ู„ ุฏุฑุฌุฉ ู…ู…ูƒู†ุฉ ูู‡ุฐุง ุจูŠุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุฏู‡ ุฌู‡ุงุฒู‚ูŠุงุณ ุตู†ุน
2256
+
2257
+ 565
2258
+ 00:53:38,110 --> 00:53:44,050
2259
+ ุดุฑูƒุฉ X ู‡ุฐุง ุฌู‡ุงุฒ ุตู†ุน ุดุฑูƒุฉ Y ู‡ุฐุง ุจูŠุจู‚ู‰ ุฏู‚ูŠู‚ุฉ ุฃุนู„ู‰
2260
+
2261
+ 566
2262
+ 00:53:44,050 --> 00:53:48,110
2263
+ ู‡ุฐุง ุฃู‚ู„ ููŠู‡ ุชูุงุตูŠู„ ูู†ูŠุฉ ุจู†ุชุจู‡ูˆู„ู‡ุง ูˆ ุจูŠุญุทูˆู‡ุง ูƒ
2264
+
2265
+ 567
2266
+ 00:53:48,110 --> 00:53:58,590
2267
+ features ููŠ ุฌู‡ุงุฒ ุจุชู‚ู„ู„ ู†ุณุจุฉ ุงู„ error ุจุฏุฑุฌุฉ
2268
+
2269
+ 568
2270
+ 00:53:58,590 --> 00:54:01,730
2271
+ ุฃู‚ู„ ุจูƒุชูŠุฑ ุจุฏุฑุฌุฉ ุฃู‚ู„ ุจูƒุชูŠุฑ
2272
+
2273
+ 569
2274
+ 00:54:05,960 --> 00:54:11,380
2275
+ ู‡ูˆ ููŠ ุงู„ุขุฎุฑ ุทู„ุน ุงู„ุฌู‡ุงุฒ ุงู„ุฑู‚ู…ูŠ ุงู„ signal ุฃุณุงุณุง
2276
+
2277
+ 570
2278
+ 00:54:11,380 --> 00:54:18,300
2279
+ analog signal ูˆ ุชู… ุชุญูˆูŠู„ู‡ุง ู„ูŠุด ู„ digital signal ู‡ูˆ
2280
+
2281
+ 571
2282
+ 00:54:18,300 --> 00:54:23,000
2283
+ ุฑุฌุนูƒ ุงู„ .. ุงู„ .. ุงู„ .. ุดู‡ ุงุณู…ู‡ ุงู„ display ุฃูˆ
2284
+
2285
+ 572
2286
+ 00:54:23,000 --> 00:54:26,820
2287
+ ุงู„ู‚ุฑุงุกุฉ ูƒ digital ุจุณ ููŠ ุงู„ุฃุณุงุณ ู‡ูŠ analog signal
2288
+
2289
+ 573
2290
+ 00:54:44,680 --> 00:54:51,660
2291
+ ุงู„ drift ูŠุนู†ูŠ ุจูŠุตูŠุฑ a fluctuation ุจุทูŠุฆ ุฌุฏุง ู…ุน
2292
+
2293
+ 574
2294
+ 00:54:51,660 --> 00:54:56,540
2295
+ ุงู„ุฒู…ู† ุญูˆุงู„ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ central value ู‚ูŠู…ุฉ ู…ุฑูƒุฒูŠุฉ
2296
+
2297
+ 575
2298
+ 00:54:56,540 --> 00:54:58,460
2299
+ ุงู„ noise
2300
+
2301
+ 576
2302
+ 00:55:01,410 --> 00:55:07,490
2303
+ ุงู„ู€ noise ู‡ุงูŠ ุงู„ time ู‡ุฐู‡
2304
+
2305
+ 577
2306
+ 00:55:07,490 --> 00:55:19,770
2307
+ noise ุงู„ drift ุจุชูƒูˆู†
2308
+
2309
+ 578
2310
+ 00:55:19,770 --> 00:55:23,650
2311
+ fluctuation ุนู„ู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุนูŠุงุด ุฃุทูˆู„
2312
+
2313
+ 579
2314
+ 00:55:30,800 --> 00:55:35,440
2315
+ ุฅุฐุง ูƒุงู† ุงู„ .. ุงู„ duration ุจุชุงุน ุงู„ test ูุชุฑุฉ ุฒู…ู†ูŠุฉ
2316
+
2317
+ 580
2318
+ 00:55:35,440 --> 00:55:41,220
2319
+ ู„ุฅุฌุฑุงุก ุงู„ูุญุต ุทูˆูŠู„ุฉ ุงู†ู†ุง ุฎู„ุตู†ุงู‡ุง ุฅุฐุง ูƒุงู† ูุชุฑุฉ ุงู„ูุญุต
2320
+
2321
+ 581
2322
+ 00:55:41,220 --> 00:55:45,980
2323
+ ุทูˆูŠู„ุฉ ุฌุฏุง ู…ู…ูƒู† ุงู„ุธุฑูˆู ุงู„ุจูŠุฆูŠุฉ ุชุฃุซุฑ ุนู„ู‰ ุงู„ู†ุชุงุฌ ูŠุนู†ูŠ
2324
+
2325
+ 582
2326
+ 00:55:45,980 --> 00:55:52,680
2327
+ ู…ุซู„ุง ููŠ ุจุนุถ ุงู„ูุญุตุงุช ู…ู…ูƒู† ุชุณุชู…ุฑ ุณู†ูŠู† ุฒูŠ ูุญุต ุงู„
2328
+
2329
+ 583
2330
+ 00:55:52,680 --> 00:55:58,520
2331
+ creep test ูุญุต ุงู„ุฒุญู ุงู† ุงู†ุง ุจุนุฑุถ ู…ุซู„ุง ุนูŠู†ุฉ ุจู‚ู‰
2332
+
2333
+ 584
2334
+ 00:55:58,520 --> 00:56:03,340
2335
+ ุดุฏู‡ุงู„ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ุชุญุช ุฃุซูŠุฑ ุงู„ุญุฑุงุฑุฉ ูˆ ุงู„
2336
+
2337
+ 585
2338
+ 00:56:03,340 --> 00:56:08,960
2339
+ loading ู„ุญุฏ ู…ุง ุชู†ูƒุณุฑ ู…ู…ูƒู† ุชู†ูƒุณุฑ ุจุฎู…ุณ ุฏู‚ุงุฆู‚ ู…ู…ูƒู†
2340
+
2341
+ 586
2342
+ 00:56:08,960 --> 00:56:12,340
2343
+ ุจุฎู…ุณ ุณู†ูŠู† ููŠ ุฃุญุฏ ุงู„ูุญูˆุตุงุช ุงุณุชู‚ุจู„ ุนุดุฑ ุณู†ูŠู† ู…ุนู†ุงุชู‡
2344
+
2345
+ 587
2346
+ 00:56:12,340 --> 00:56:18,120
2347
+ ุจูŠุฏูˆูุฑู„ู‡ ุจูŠุฆุฉ ุงู„ุฌูˆ ูŠูƒูˆู† ู…ูƒูŠู ุญุงูุธ ุนู„ู‰ ุงู„ุงุฑุทูˆุจุฉ ูˆ
2348
+
2349
+ 588
2350
+ 00:56:18,120 --> 00:56:20,740
2351
+ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุฅุฐุง ู…ุงูƒู†ุชุด ู…ุญุงูุธุฉ ุนู„ู‰ ุงู„ุธุฑูˆู ููŠ ุจูŠุฆุฉ
2352
+
2353
+ 589
2354
+ 00:56:20,740 --> 00:56:23,060
2355
+ ุงู„ู…ุญูŠุทุฉ ู‡ุชุทู„ุน ุงู„ู†ุชุงุฌ ููŠู‡ุง ุฎู„ู„
2356
+
2357
+ 590
2358
+ 00:56:27,230 --> 00:56:32,350
2359
+ ุทูŠุจ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุจู†ูƒู…ู„ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
2360
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/PNMKWzSr-Zk.srt ADDED
@@ -0,0 +1,2843 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,280 --> 00:00:07,880
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,880 --> 00:00:11,160
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ู€ chapter three ุงู„ู„ูŠ ู‡ูˆ
8
+
9
+ 3
10
+ 00:00:11,160 --> 00:00:17,040
11
+ assessing and presenting experimental data ุญุงุทูŠู†
12
+
13
+ 4
14
+ 00:00:17,040 --> 00:00:22,480
15
+ example ู…ูุตู„ ุทุจุนุงู‹
16
+
17
+ 5
18
+ 00:00:22,480 --> 00:00:26,620
19
+ ุงู„ู€ example ุงู„ู…ูุตู‘ู„ ู‡ุฐุง ุจูŠุดุฑุญ ุทุฑูŠู‚ุฉ ุฃุญุฏ ุทุฑู‚ ู‚ูŠุงุณ
20
+
21
+ 6
22
+ 00:00:26,620 --> 00:00:34,140
23
+ ุงู„ุชุฏูู‚ ุงู„ุญุฌู…ูŠ ุงู„ู„ูŠ ู‡ูŠ flow rate measurement ุทุจุนุงู‹
24
+
25
+ 7
26
+ 00:00:34,140 --> 00:00:37,360
27
+ ุชุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ู€ flow ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ obstructions
28
+
29
+ 8
30
+ 00:00:37,360 --> 00:00:41,680
31
+ meters ูŠุนู†ูŠ ู…ุซู„ุงู‹ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ุฌู‡ุงุฒ ูŠุณู…ู‰
32
+
33
+ 9
34
+ 00:00:41,680 --> 00:00:45,720
35
+ Venturimeter ูˆ ุฃูŠุถุงู‹ Orifice MeterุŒ ุงู„ู€ Venturimeter
36
+
37
+ 10
38
+ 00:00:45,720 --> 00:00:49,360
39
+ ุงู„ู„ูŠ ุจูŠูƒูˆู† ุนู†ุฏู‡ ุฃู†ุจูˆุจ ู„ู‡ ู‚ุทุฑ ู…ุนูŠู†ุŒ ุจุนุฏูŠู† ุจูŠุตูŠุฑ
40
+
41
+ 11
42
+ 00:00:49,360 --> 00:00:54,640
43
+ ุนู†ู‚ุŒ ุจุนุฏูŠู† ุจูŠูƒุจุฑ ุชุงู†ูŠ. ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุชุนู†ู‚ ุจุงุณุชุฎุฏุงู…
44
+
45
+ 12
46
+ 00:00:54,640 --> 00:01:01,500
47
+ ู…ุนุงุฏู„ุฉ ุจุฑู†ูˆู„ูŠุŒ ุจู†ูˆ ุงู„ู€ equationุŒ ุงู„ุฏุบุท ู‡ู†ุง ุจูŠูƒูˆู†
48
+
49
+ 13
50
+ 00:01:01,500 --> 00:01:04,640
51
+ ุฃู‚ู„ุŒ ู‡ู†ุง ูŠุนู†ูŠ ุงู„ุฏุบุท ู‡ู†ุง ุฃุนู„ู‰ ู…ู† ู‡ู†ุงุŒ ูุจู†ุญุณุจ ุงู„ู€
52
+
53
+ 14
54
+ 00:01:04,640 --> 00:01:09,160
55
+ pressure differenceุŒ ูู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ู€ pressure
56
+
57
+ 15
58
+ 00:01:09,160 --> 00:01:15,360
59
+ difference ู…ู…ูƒู† ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ flow rateุŒ ุงู„ู€
60
+
61
+ 16
62
+ 00:01:15,360 --> 00:01:18,680
63
+ pressure difference ูŠู‚ุงุณ ุจุงุณุชุฎุฏุงู… ุงู„ู„ูŠ ู‡ูˆ
64
+
65
+ 17
66
+ 00:01:18,680 --> 00:01:25,690
67
+ manometer. ู‡ู†ุดูˆู ุฅูŠุด ู‡ูˆ ุงู„ู€ manometer ุทุจุนุงู‹.
68
+
69
+ 18
70
+ 00:01:25,690 --> 00:01:31,370
71
+ ุฃู†ุง ุนู†ุฏูŠ two positionsุŒ position one ูˆ position two.
72
+
73
+ 19
74
+ 00:01:31,370 --> 00:01:38,290
75
+ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ุชุงู„ูŠ ุงู„ู„ูŠ ุจูŠุญูƒูŠ P1 ุฃูˆ ุงู„ู€ total energy
76
+
77
+ 20
78
+ 00:01:38,290 --> 00:01:45,990
79
+ is conserved. ุทุงู‚ุฉ ุงู„ู…ุงุฆุน ุงู„ูƒู„ูŠุฉ ู…ุญููˆุธุฉ. ุทุงู‚ุฉ ุงู„ู…ุงุฆุน
80
+
81
+ 21
82
+ 00:01:45,990 --> 00:01:52,690
83
+ ุฌุงุช ู…ู† ุซู„ุงุซ ุดุบู„ุงุชุŒ ู†ุงุชุฌุฉ ู…ู† ุซู„ุงุซ ุดุบู„ุงุชุŒ ุงู„ู€
84
+
85
+ 22
86
+ 00:01:52,690 --> 00:01:56,450
87
+ pressureุŒ static pressureุŒ ูˆ ุงู„ู€ dynamic pressure
88
+
89
+ 23
90
+ 00:01:56,450 --> 00:02:01,050
91
+ ู†ุชูŠุฌุฉ ุงู„ุณุฑุนุฉุŒ ูˆ ุงู„ู€ pressure due to ุงู„ุงุฑุชูุงุน. ุฅุฐุง
92
+
93
+ 24
94
+ 00:02:01,050 --> 00:02:05,530
95
+ ุนู†ุฏูŠ ู…ูŠุงู‡ ุงุฑุชูุงุนู‡ุง ุจุชุนู…ู„ pressure ุตุญุŒ ูุงู„ุทุงู‚ุฉ
96
+
97
+ 25
98
+ 00:02:05,530 --> 00:02:09,410
99
+ ู†ุงุชุฌุฉ ู…ู† ุงู„ู„ูŠ ู‡ูˆ static pressure ุงู„ู„ูŠ ู…ุถุบูˆุท ููŠ
100
+
101
+ 26
102
+ 00:02:09,410 --> 00:02:16,570
103
+ ุงู„ูƒูˆู†ุŒ ูˆุนู†ุฏู‡ dynamic pressure ู†ุชูŠุฌุฉ ุงู„ุญุฑูƒุฉ ููŠ ุงู„ูˆุณุท.
104
+
105
+ 27
106
+ 00:02:16,570 --> 00:02:20,490
107
+ ู‡ุฐุง constant ุนู„ู‰ ูุฑุถ ุฃู† ู…ุง ููŠุด ููˆุงู‚ุฏุŒ ูŠุนู†ูŠ ู…ุง ููŠุด
108
+
109
+ 28
110
+ 00:02:20,490 --> 00:02:25,750
111
+ losses ู†ุชูŠุฌุฉ ุงู„ุงุญุชูƒุงูƒ ุฃูˆ ุฃูŠ ุฃุณุจุงุจ ุฃุฎุฑู‰ุŒ ูุจูŠูƒูˆู† ุนู†ุฏ
112
+
113
+ 29
114
+ 00:02:25,750 --> 00:02:35,190
115
+ ุงู„ู€ P ูˆุงุญุฏ ููŠ ุงู„ู€
116
+
117
+ 30
118
+ 00:02:35,190 --> 00:02:48,910
119
+ P ูˆุงุญุฏ ุฒุงุฆุฏ ุงู„ู€
120
+
121
+ 31
122
+ 00:02:48,910 --> 00:02:50,630
123
+ P ูˆุงุญุฏ ุฒุงุฆุฏ
124
+
125
+ 32
126
+ 00:02:54,230 --> 00:03:07,910
127
+ ู†ุตู ุฑูˆ V ูˆุงุญุฏ ุชุฑุจูŠุน ุฒุงุฆุฏ ุฑูˆ GH ูˆุงุญุฏ ูŠุณุงูˆูŠ
128
+
129
+ 33
130
+ 00:03:07,910 --> 00:03:11,530
131
+ ุทุจุนุงู‹ ู‡ุฐู‡ ุงู„ู€ energy at position one ุจุชุณุงูˆูŠ ุงู„ู€
132
+
133
+ 34
134
+ 00:03:11,530 --> 00:03:14,810
135
+ energy at position two ุนู„ู‰ ูุฑุถ ุฃู†ู‡ ู…ุง ููŠุด ููˆุงู‚ุฏ.
136
+
137
+ 35
138
+ 00:03:14,810 --> 00:03:25,630
139
+ ู‡ุงูŠูƒูˆู† ุนู†ุฏูŠ P2 ุฒุงุฆุฏ ู†ุตู ุฑูˆ V ุชุฑุจูŠุน ุฒุงุฆุฏ ุฑูˆ G
140
+
141
+ 36
142
+ 00:03:25,630 --> 00:03:28,810
143
+ H2.
144
+
145
+ 37
146
+ 00:03:28,810 --> 00:03:34,090
147
+ ู…ุนู†ุงู‡ุง
148
+
149
+ 38
150
+ 00:03:34,090 --> 00:03:36,170
151
+ ุจูŠุญูƒูŠ ุนู†ุฏูŠ P1
152
+
153
+ 39
154
+ 00:03:38,900 --> 00:03:45,420
155
+ - P2 ุงู„ู„ูŠ ู‡ุณู…ูŠู‡ุง ู‡ู†ุง ุฏู„ุชุง PุŒ ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท ุจูŠู†
156
+
157
+ 40
158
+ 00:03:45,420 --> 00:03:53,300
159
+ ูˆุงุญุฏ ูˆ ุงุซู†ูŠู†ุŒ ู‡ูŠูƒูˆู† ุณุงูˆูŠ ูŠุนู†ูŠ ุฌุจุช P2 ุนู„ู‰ ุฌู‡ุฉ ุงู„ูŠุณุงุฑ.
160
+
161
+ 41
162
+ 00:03:53,300 --> 00:03:59,000
163
+ ู‡ูŠูƒูˆู† ุณุงูˆูŠ ู†ุตู ุฑูˆ
164
+
165
+ 42
166
+ 00:03:59,000 --> 00:04:07,160
167
+ ู†ุตู ุฑูˆ ููŠ V2 ุชุฑุจูŠุน ู†ุงู‚ุต V1
168
+
169
+ 43
170
+ 00:04:17,560 --> 00:04:20,720
171
+ ุทุจุนุงู‹ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุชู‚ุฑูŠุจูŠุฉุŒ ู„ุฃู† ููŠ ุนู†ุฏูŠ losses ุฃู†ุง
172
+
173
+ 44
174
+ 00:04:20,720 --> 00:04:25,760
175
+ ู…ู…ูƒู† ุฃุฎู„ู‘ูŠู‡ุง ุตุญูŠุญุฉ ู…ุฆุฉ ุจุงู„ู…ุฆุฉ ู„ูˆ ุญูƒูŠุช ุฃู† P1 ุฒุงุฆุฏ ู†ุตู ุฑูˆ
176
+
177
+ 45
178
+ 00:04:25,760 --> 00:04:31,440
179
+ V1 ุชุฑุจูŠุน ุฒุงุฆุฏ ุฑูˆ GH1 ูŠุณุงูˆูŠ P2 ุฒุงุฆุฏ ู†ุตู ุฑูˆ V2 ุชุฑุจูŠุน ุฒุงุฆุฏ
180
+
181
+ 46
182
+ 00:04:31,440 --> 00:04:37,760
183
+ ุฑูˆ GH2 ุฒุงุฆุฏ lossesุŒ ู‡ุญุท term lossesุŒ ู„ูƒู† ุทุงู„ู…ุง ุฃู†ุง
184
+
185
+ 47
186
+ 00:04:37,760 --> 00:04:44,540
187
+ ู…ุง ุญุทูŠุชุด lossesุŒ ุงูุชุฑุงุถู‡ุง ุฃู†ู‡ุง ุตูุฑ. ุทูŠุจ
188
+
189
+ 48
190
+ 00:04:44,540 --> 00:04:48,300
191
+ ู…ุนู†ุงู‡ ุฏู„ุชุง ุจูŠุŒ ุฏู„ุชุง ุจูŠ ุนู„ู‰ ููƒุฑุฉ ุฃู†ุง ู„ุณู‡ ู…ุด ุญุงูุธ
192
+
193
+ 49
194
+ 00:04:48,300 --> 00:04:55,400
195
+ ุฃุณู…ุงุฆูƒู…ุŒ ู„ูˆ ูƒู„ ูˆุงุญุฏ ูŠุญูƒูŠ ุงุณู…ู‡. ุญู…๏ฟฝ๏ฟฝุŒ ุญู…ุฏ ุฃุจูˆ ูˆุฑุฏุฉุŒ ุฃุญู…ุฏ
196
+
197
+ 50
198
+ 00:04:55,400 --> 00:05:00,780
199
+ ุงู„ู…ุฏู†ุงู†ุŒ ุฃุญู…ุฏ ุงู„ู…ุฏู†ุงู†ุŒ ุฏูˆุฑุŒ ุฃุญู…ุฏ ุฃุจูˆ ุดูˆูŠุดุŒ ุฏูˆุฑุŒ ุฃุญู…ุฏ
200
+
201
+ 51
202
+ 00:05:00,780 --> 00:05:02,100
203
+ ุฃุจูˆ ุดูˆูŠุด.
204
+
205
+ 52
206
+ 00:05:08,870 --> 00:05:20,550
207
+ ุนุจุฏ ุงู„ุฑุญู…ู†ุŒ ุนุจุฏ ุนู…ุฑุŒ ู…ุญู…ุฏุŒ ุงุชุฏุดุชุŒ ู…ุตุฑุŒ ุงู„ุดูˆุจุฉุŒ ูƒุฏู‡ ูุตู„
208
+
209
+ 53
210
+ 00:05:20,550 --> 00:05:28,850
211
+ ุงู„ุณุฌู‘ุฉุŒ ุงุฒู…ุŒ ุงู„ุฌุฏูˆุฉุŒ ูƒู…ุฑุฉุŒ ุจุญูุธ ุงู„ุฃุณู…ุงุก ุทูŠุจ. ุฏู„ุชุง ุจูŠ
212
+
213
+ 54
214
+ 00:05:28,850 --> 00:05:36,870
215
+ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ู†ุตู ุฑูˆ V2 ุชุฑุจูŠุน ู†ุงู‚ุต V1 ุชุฑุจูŠุนุŒ ู„ุฃู†
216
+
217
+ 55
218
+ 00:05:36,870 --> 00:05:42,790
219
+ ููŠ ู…ุนุงุฏู„ุฉ ุซุงู†ูŠุฉ ู‡ุชููŠุฏู†ุงุŒ ุงู„ู€
220
+
221
+ 56
222
+ 00:05:42,790 --> 00:05:46,510
223
+ mass flow rateุŒ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ุชุฏุฎู„ ู…ู† ู‡ู†ุง ู‡ุชุทู„ุน ู…ู† ู‡ู†ุง
224
+
225
+ 57
226
+ 00:05:46,510 --> 00:05:52,430
227
+ ู†ูุณ ุงู„ูƒู…ูŠุฉุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ููŠ ุนู†ุฏูŠ ู‚ุงู†ูˆู† ุญูุธ ุงู„ูƒุชู„ุฉ
228
+
229
+ 58
230
+ 00:05:52,430 --> 00:05:58,130
231
+ ุฃูˆ ุงู„ู€ continuity equationุŒ continuity equationุŒ ุงู„ู„ูŠ
232
+
233
+ 59
234
+ 00:05:58,130 --> 00:06:04,670
235
+ ู‡ูˆ M ูˆุงุญุฏ ุฏูˆุช ุจูŠุณุงูˆูŠ M ุงุซู†ูŠู† ุฏูˆุช.
236
+
237
+ 60
238
+ 00:06:11,990 --> 00:06:18,410
239
+ ูŠุนู†ูŠ ุฃู†ุง ู‡ูƒูˆู† ุนู†ุฏูŠ ุงู„ู€ m ูˆุงุญุฏ ุฏูˆุช ุงู„ู„ูŠ ู‡ูŠ flow rate
240
+
241
+ 61
242
+ 00:06:18,410 --> 00:06:25,570
243
+ ููŠ densityุŒ ุตุญุŸ ู‡ูƒูˆู† ุนู†ุฏูŠ ุนู„ู‰ ูุฑุถ density ุซุงุจุชุฉุŒ ุฑูˆ
244
+
245
+ 62
246
+ 00:06:25,570 --> 00:06:35,270
247
+ ููŠ Q ูˆุงุญุฏ ุจูŠุณุงูˆูŠ ุฑูˆ ููŠ Q ุงุซู†ูŠู†ุŒ ุนู„ู‰ ูุฑุถ ุงู„ูƒุซุงูุฉ ูŠุง ุจุงุดุง
248
+
249
+ 63
250
+ 00:06:35,270 --> 00:06:37,550
251
+ ุซุงุจุชุฉุŒ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ Q ูˆุงุญุฏ
252
+
253
+ 64
254
+ 00:06:40,270 --> 00:06:46,770
255
+ ุจูŠุณุงูˆูŠ Q ุงุซู†ูŠู†. ุงู„ู€ Q ูˆุงุญุฏ ุนุจุงุฑุฉ ุนู† volume flow
256
+
257
+ 65
258
+ 00:06:46,770 --> 00:06:52,910
259
+ rateุŒ ูŠุนู†ูŠ volume ู„ูƒู„ ูˆุญุฏุฉ ุฒู…ู†. ุงู„ู€ volume ู‡ูŠูƒูˆู†
260
+
261
+ 66
262
+ 00:06:52,910 --> 00:07:00,270
263
+ ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน ร— ุทูˆู„ = ฯ€/ูค D ูˆุงุญุฏ ุชุฑุจูŠุน
264
+
265
+ 67
266
+ 00:07:06,080 --> 00:07:12,000
267
+ ุฃูˆ ููŠ ููŠุŒ ุณุฑุนุฉ ููŠ V ูˆุงุญุฏุŒ ู„ุฃู† ุงู„ุณุฑุนุฉ ุนุจุงุฑุฉ
268
+
269
+ 68
270
+ 00:07:12,000 --> 00:07:20,520
271
+ ุนู† ุฅูŠุดุŸ ูˆุญุฏุฉ ู…ุณุงูุฉ ู„ูƒู„ ุฒู…ู†. ูŠุณุงูˆูŠ ฯ€/ูค
272
+
273
+ 69
274
+ 00:07:20,520 --> 00:07:28,300
275
+ D ุงุซู†ูŠู† ุชุฑุจูŠุน ููŠ V ุงุซู†ูŠู†ุŒ ูŠุนู†ูŠ ู‡ูŠุฑูˆุญ ฯ€/ูค
276
+
277
+ 70
278
+ 00:07:28,300 --> 00:07:30,200
279
+ ฯ€/ูค
280
+
281
+ 71
282
+ 00:07:38,220 --> 00:07:44,380
283
+ ู…ุนู†ุงุชู‡ ุฃู†ุง ุนู†ุฏูŠ ู‡ุงูŠ ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏุŒ ู…ุนุงุฏู„ุฉ ุฑู‚ู…
284
+
285
+ 72
286
+ 00:07:44,380 --> 00:07:53,280
287
+ ุงุซู†ูŠู†. ุทุจุนุงู‹ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุงุช ู…ุซุงู„ูŠุฉุŒ ู„ูƒู† ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ
288
+
289
+ 73
290
+ 00:07:53,280 --> 00:07:58,980
291
+ ุงู„ุงุฎุชู†ุงู‚ ู‡ู†ุงุŒ ู…ู…ูƒู† ุชุตุจุญ turbulence ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
292
+
293
+ 74
294
+ 00:07:58,980 --> 00:08:04,820
295
+ ุชุตุจุญ ุนุดูˆุงุฆูŠุฉ ููŠ ุงู„ุชุฏูู‚ุŒ ุชุตุจุญ ููˆุถู‰ ููŠ ุงู„ุชุฏูู‚ุŒ ู‡ูŠ
296
+
297
+ 75
298
+ 00:08:04,820 --> 00:08:10,830
299
+ ู…ุนู†ุงู‡ ุงู„ู€ turbulence. ูุงู„ุงุฎุชู†ุงู‚ ู‡ุฐุง ุจูŠุตูŠุฑ ุงู„ู€ flow rate
300
+
301
+ 76
302
+ 00:08:10,830 --> 00:08:14,510
303
+ ุงู„ู…ุนุงุฏู„ุฉ ุชุงุนุชู‡ ุทุจุนุงู‹ ุฃู†ุง ู‡ุญู„ู‘ ู…ุนุงุฏู„ุฉ ู‡ุฐุงุŒ ุฃู†ุง
304
+
305
+ 77
306
+ 00:08:14,510 --> 00:08:18,870
307
+ ุจุนุทูŠูƒู… ุงู„ููƒุฑุฉุŒ ูู‡ุฐุง ุดุบู„ fluid mechanics. ุงู„ู€ flow rate
308
+
309
+ 78
310
+ 00:08:18,870 --> 00:08:22,530
311
+ ู‡ูŠูƒูˆู†
312
+
313
+ 79
314
+ 00:08:22,530 --> 00:08:29,070
315
+ ูˆู‚ุช ุงู„ู„ูŠ ุจูŠู‚ุฏู‘ุฑ ุจูŠุณุงูˆูŠ K ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน A2 ููŠ ุงู„ุฌุฐุฑ
316
+
317
+ 80
318
+ 00:08:29,070 --> 00:08:33,590
319
+ ุงู„ุชุฑุจูŠุนูŠ ู„ู€ 2G ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ gravity ููŠ ุฏู„ุชุง P
320
+
321
+ 81
322
+ 00:08:33,590 --> 00:08:43,390
323
+ ุนู„ู‰ ุฑูˆ. ุงู„ู€ K ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆุŒ ุงู„ู„ูŠ ู‡ูˆ ูŠุณู…ู‰ flow
324
+
325
+ 82
326
+ 00:08:43,390 --> 00:08:48,790
327
+ coefficientุŒ flow coefficientุŒ ู‡ุฐุง ุจูŠูุญุณุจ empirically
328
+
329
+ 83
330
+ 00:08:48,790 --> 00:08:55,010
331
+ ูŠุนู†ูŠ ุจุงู„ุชุฌุฑุจุฉุŒ ุจุญุณุจ ุงู„ุชุบูŠุฑ ููŠ ุงู„ู€ sectionุŒ ู‡ู„ ุงู„ุชุบูŠุฑ
332
+
333
+ 84
334
+ 00:08:55,010 --> 00:09:01,490
335
+ ุนุจุงุฑุฉ ุนู† Venturi ุจูŠุตูŠุฑ ุชุบูŠุฑ ุชุฏุฑูŠุฌูŠุŒ ุฃูˆ ุจุชุบูŠุฑ ุดูƒู„
336
+
337
+ 85
338
+ 00:09:02,420 --> 00:09:05,460
339
+ ู…ูุงุฌุฆ ุงู„ู„ูŠ ู‡ูŠ orificeุŒ ูŠุนู†ูŠ ุฃู†ุง ุนู†ุฏูŠ hand ุจูŠูƒูˆู†
340
+
341
+ 86
342
+ 00:09:05,460 --> 00:09:12,440
343
+ ุนู†ุฏู‡ disk ูˆููŠ ูุชุญุฉ ููŠ ุงู„ู€ diskุŒ ุงู„ูุชุญุฉ ู‡ูˆ ุงู„ู€ flow ุนุดุงู†
344
+
345
+ 87
346
+ 00:09:12,440 --> 00:09:17,320
347
+ ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ููŠ ู…ู†ุทู‚ุชูŠู† ุจูŠุณูŠุฑ ููŠู‡ุง ุฒูŠ ุชูุฑูŠุบุŒ ุจูŠุตูŠุฑ ุฒูŠ
348
+
349
+ 88
350
+ 00:09:17,320 --> 00:09:22,600
351
+ ุชูุฑูŠุบุŒ ุชุนู…ู„ ุจูŠุตูŠุฑ ุงู„ู€ flow ุจุงู„ุดูƒู„ ู‡ุฐุง ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
352
+
353
+ 89
354
+ 00:09:22,600 --> 00:09:27,700
355
+ ูŠุนู†ูŠ
356
+
357
+ 90
358
+ 00:09:27,700 --> 00:09:32,760
359
+ ุงู„ู€ flow ุนุดุงู† ูŠู„ุชุญู… ุชุงู†ูŠ ู…ุน ุงู„ู€ surface ุจุชุงุน ุงู„ู€ tube
360
+
361
+ 91
362
+ 00:09:32,760 --> 00:09:39,760
363
+ ู‡ูˆ ุฃู†ุง ุฎู„ูŠุชู‡ ูŠุญุดุฑ ุฒูŠ ู‡ูŠูƒุŒ ู…ุณุชุญูŠู„ ูŠุญุดุฑ ู‡ูŠูƒ ู…ุจุงุดุฑุฉ
364
+
365
+ 92
366
+ 00:09:39,760 --> 00:09:45,220
367
+ jumpุŒ ุตุญุŸ ูŠู…ุณูƒุŒ ูู…ุญุชุงุฌ ูุชุฑุฉุŒ ู…ุญุชุงุฌ ู…ุณุงูุฉ ู„ุญุฏ ู…ุง ูŠู„ุชุญู…
368
+
369
+ 93
370
+ 00:09:45,220 --> 00:09:48,760
371
+ ูุจูŠุตูŠุฑ ุฒูŠ ุดุจู‡ ุชูุฑูŠุบ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ุŒ ุงู„ุฏุบุท ู…ู† ู…ุงู„ู‡
372
+
373
+ 94
374
+ 00:09:48,760 --> 00:09:55,280
375
+ ูŠุนู†ูŠ ุจูŠู†ุฎูุถุŒ ูุฃู†ุง ุจูƒูˆู† ุญุงุทุท ู‡ู†ุง ูุชุญุฉุŒ ูุชุญุฉ ู‡ู†ุง ูˆ ูุชุญุฉ
376
+
377
+ 95
378
+ 00:09:55,280 --> 00:09:57,720
379
+ ู‡ู†ุงุŒ ุงู„ุฏุบุท ู‡ู†ุง ุทุจุนุงู‹ ู‡ู†ุงุŒ ุญุงุฌุฉ ุชูƒูˆู†ุŒ ูŠุนุทูŠู†ุง ุถุบุท ู…ู†ุฎูุถ ู‡ู†ุง
380
+
381
+ 96
382
+ 00:09:58,450 --> 00:10:02,210
383
+ ุงู„ุถุบุท ู‡ู†ุง ู‡ูŠูƒูˆู† ุฃุนู„ู‰ ู…ู† ู‡ู†ุงุŒ ูุจูŠุตูŠุฑ pressure
384
+
385
+ 97
386
+ 00:10:02,210 --> 00:10:05,070
387
+ difference. ู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ู€ pressure difference ุฃู†ุง
388
+
389
+ 98
390
+ 00:10:05,070 --> 00:10:10,870
391
+ ู…ู…ูƒู† ุฃู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ flow. ุงู„ู…ุนู†ู‰ ุงู„ู„ูŠ ู‚ู„ุชู‡ ุนู†ุฏูŠ ุงู„ู€
392
+
393
+ 99
394
+ 00:10:10,870 --> 00:10:16,750
395
+ flow Q ุจูŠุณุงูˆูŠ K ููŠ A2 ููŠ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ู€ 2G ููŠ ุฏู„ุชุง P ุนู„ู‰ ุฑูˆ
396
+
397
+ 100
398
+ 00:10:16,750 --> 00:10:20,070
399
+ ููŠ
400
+
401
+ 101
402
+ 00:10:20,070 --> 00:10:24,470
403
+ ุงู„ุชุฌุฑุจุฉ ู‡ุฐู‡ ุงู„ู„ูŠ ุฃู†ุง ู‡ุณุชุฎุฏู…ู‡ุง ุงู„ู„ูŠ ู‡ูˆ orifice
404
+
405
+ 102
406
+ 00:10:24,470 --> 00:10:25,010
407
+ meter.
408
+
409
+ 103
410
+ 00:10:31,830 --> 00:10:37,590
411
+ ุทุจุนุงู‹ ู‡ุฐู‡ ุงู„ุทุฑู‚ ู„ูŠุณุช ูู‚ุท ู„ู„ู‚ูŠุงุณุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู€
412
+
413
+ 104
414
+ 00:10:37,590 --> 00:10:46,410
415
+ application ุจุณูŠุทุฉ ุฌุฏุงู‹ ุฌุฏุงู‹ุŒ ู„ูˆ ุญุจูŠุช ู…ุซู„ุงู‹ ุฃุฎู„ุท
416
+
417
+ 105
418
+ 00:10:46,410 --> 00:10:54,110
419
+ ู…ุงุก ู…ุน ู‡ูˆุงุกุŒ ุฃุฎู„ุท ู…ุงุก ู…ุน ู‡ูˆุงุกุŒ ุจุฏุฎู„
420
+
421
+ 106
422
+ 00:10:54,110 --> 00:10:58,430
423
+ flow ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ูˆุจุชูƒูˆู† ุนู†ุฏูŠ ุทุจุนุงู‹ ู‡ุฐู‡ ู…ุณูƒุฑุฉ ู…ู†
424
+
425
+ 107
426
+ 00:10:58,430 --> 00:11:00,790
427
+ ุงู„ุญุงู„ุฉุŒ ุจุชูƒูˆู† ู‡ุฐู‡ ู…ุณูƒุฑุฉุŒ ู…ุง ููŠุด ุนู†ุฏูŠ .. ู…ุง ููŠุด ุนู†ุฏูŠ
428
+
429
+ 108
430
+ 00:11:00,790 --> 00:11:05,930
431
+ manometerุŒ ุจุณ ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ูุชุญุฉ ู‡ู†ุงุŒ ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„
432
+
433
+ 109
434
+ 00:11:05,930 --> 00:11:09,890
435
+ ู…ู† ู‡ู†ุงุŒ ูุจูŠุตูŠุฑ ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„ ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆูŠุŒ ูุจูŠุฑูˆุญ
436
+
437
+ 110
438
+ 00:11:09,890 --> 00:11:16,390
439
+ ุงู„ู‡ูˆุงุก ุจุงู„ุฏูุนุŒ ุจูŠุฎุด ุจุงู„ุฎู„ุท ู…ุน ุงู„ู…ุงุกุŒ ุฃู†ุง ุนู…ู„ุชู‡ุง ุทุจุนุงู‹
440
+
441
+ 111
442
+ 00:11:16,390 --> 00:11:21,590
443
+ ุจุณุญุจ ูƒู…ูŠุฉุŒ ุจุนู…ู„ ุฎู„ุทุŒ ูŠุนู†ูŠ ุฎู„ุทุŒ ูŠุนู†ูŠ ุฎู„ุท ู…ุชุฌุงู†ุณ ุฌุฏุงู‹ ู…ุน
444
+
445
+ 112
446
+ 00:11:21,590 --> 00:11:25,230
447
+ ุงู„ู…ุงุกุŒ ุจุชุทู„ุน ุงู„ู…ุงุก ู‡ูŠูƒ ููู„ูู„ุฉ ุฒูŠ ุงู„ุฑุบูˆุฉุŒ ุจุชูƒูˆู† ููŠู‡ุง
448
+
449
+ 113
450
+ 00:11:28,060 --> 00:11:31,260
451
+ ู…ู…ูƒู† ุชุนู…ู„ู‡ุง ููŠ ุญุงู„ุฉ ุงู„ู€ orifice ู…ุซู„ุงู‹ุŒ ุงู„ู€ orifice ุฃูˆ
452
+
453
+ 114
454
+ 00:11:31,260 --> 00:11:36,480
455
+ ุงู„ู€ venturiุŒ ู‡ุฐู‡ ุจุชูƒูˆู† ู…ุณูƒุฑุฉุŒ ุงู„ุถุบุท ุจูŠุจู‚ู‰ ู…ู†ุฎูุถ ุนุดุงู†
456
+
457
+ 115
458
+ 00:11:36,480 --> 00:11:39,920
459
+ ุจุณุจุจ ู†ู‚ุต ุงู„ุถุบุท ุจูŠุฎุด ุงู„ู‡ูˆุงุกุŒ ุจู†ุฏูุน ูˆุจูŠุฎุด ู…ุน ุงู„ู…ุงุก
460
+
461
+ 116
462
+ 00:11:39,920 --> 00:11:46,860
463
+ ุงู„ุขู†
464
+
465
+ 117
466
+ 00:11:46,860 --> 00:11:54,630
467
+ ุฅุญู†ุง ุงู„ุชุฌุฑุจุฉ ุจุชุงุนุชู†ุง ุงู„ู‡ุฏู ุฅู† ู†ู‚ูŠุณ ุงู„ู€ KุŒ ู†ู‚ูŠุณ ุงู„ู€ K
468
+
469
+ 118
470
+ 00:11:54,630 --> 00:12:01,170
471
+ ุงู„ู„ูŠ ู‡ูˆ empirical coefficient ุฃูˆ empirical flow
472
+
473
+ 119
474
+ 00:12:01,170 --> 00:12:07,830
475
+ coefficient. ุทุจุนุงู‹ ู…ุนุฑูุชู†ุง ู„ู€ K ุจุชุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ู€
476
+
477
+ 120
478
+ 00:12:07,830 --> 00:12:12,730
479
+ deviceุŒ ูŠุนู†ูŠ ููŠ ุญุงู„ุฉ ุงู„ู€ K ููŠ ุญุงู„ุฉ ุงู„ู€ Venturi ู…ุฎุชู„ูุฉ
480
+
481
+ 121
482
+ 00:12:12,730 --> 00:12:17,490
483
+ ููŠ ุญุงู„ุฉ ุงู„ู€ OrificeุŒ ุงู„ู€ Orifice ููŠ ุนู†ุฏูŠ ุฃู†ูˆุงุนุŒ ููŠ
484
+
485
+ 122
486
+ 00:12:17,490 --> 00:12:21,640
487
+ sharp edgeุŒ ููŠ straight edgeุŒ sharp edge ูŠุนู†ูŠ ุจูŠุฌูŠ
488
+
489
+ 123
490
+ 00:12:21,640 --> 00:12:28,760
491
+ ุฒูŠ ู‡ูŠูƒุŒ ุญุงุฏุŒ sharp edgeุŒ ููŠ straight edge ุจูŠุฌูŠ ุนุฏู„
492
+
493
+ 124
494
+ 00:12:28,760 --> 00:12:35,340
495
+ ูุงู„ู€ K ุจูŠุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ุชูุงุตูŠู„ ุงู„ู‡ู†ุฏุณูŠุฉ ู„ู„ู€
496
+
497
+ 125
498
+ 00:12:35,340 --> 00:12:38,560
499
+ obstructionุŒ ุงู„ู€ K ุจูŠุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ุชูุงุตูŠู„ ุงู„ู‡ู†ุฏุณูŠุฉ
500
+
501
+ 126
502
+ 00:12:38,560 --> 00:12:44,960
503
+ ู„ู„ู€ obstructionุŒ ู…ุนุฑูุชู†ุง
504
+
505
+ 127
506
+ 00:12:44,960 --> 00:12:52,800
507
+ ู„ู„ู€ K ุจูŠุนุทูŠู†ุง ูุฑุตุฉ ู†ุญุณุจ ุงู„ู€ flow rate ุจุฃูƒุซุฑ ุฏู‚ุฉุŒ ู„ุฃู†
508
+
509
+ 128
510
+ 00:12:52,800 --> 00:12:55,680
511
+ ุงู„ู€ continuity equation ู„ุง ุชุนุทูŠู†ุง ุงู„ุญุณุจุฉ ุจุงู„ุถุจุท
512
+
513
+ 129
514
+ 00:12:55,680 --> 00:13:02,580
515
+ ูู‡ู†ุงูƒ ุงุฎุชู„ุงูุŒ ูู†ุญุณุจ ุงู„ู€ K ู„ุฃู†
516
+
517
+ 130
518
+ 00:13:02,580 --> 00:13:04,920
519
+ ุทุจุนุงู‹ ููŠ ุงู„ู€ handbook of mechanical engineering
520
+
521
+ 131
522
+ 00:13:04,920 --> 00:13:12,600
523
+ ู…ูˆุฌูˆุฏ ู‚ูŠู… ู„ู„ู€ K for different obstructions. ุทุจุนุงู‹ ุงู„ู€
524
+
525
+ 132
526
+ 00:13:12,600 --> 00:13:17,010
527
+ accurate measurement ู„ู„ู€ K ุชุชุทู„ุจ careful
528
+
529
+ 133
530
+ 00:13:17,010 --> 00:13:23,830
531
+ experimental setupุŒ ุจูŠูƒูˆู† ู…ุนู…ูˆู„ ุจุดูƒู„ ุตุญูŠุญ ุนุดุงู† ุฃุญุณุจ
532
+
533
+ 134
534
+ 00:13:23,830 --> 00:13:32,150
535
+ ุงู„ู€ coefficient K ู„ู„ู€ obstruction ุชุญุช ุงู„ุฏุฑุงุณุฉ. one
536
+
537
+ 135
538
+ 00:13:32,150 --> 00:13:39,970
539
+ setupุŒ ุนู†ุฏูŠ ู‡ู†ุง orifice meterุŒ ุฏู‡ ุฃู‚ูŠุงุณู‡ ุงู„ู€ K. ูุนู†ุฏูŠ
540
+
541
+ 136
542
+ 00:13:39,970 --> 00:13:47,000
543
+ ู‡ุงูŠ ู…ุตุฏุฑ ุงู„ู…ุงุกุŒ ู…ุตุฏุฑ ุงู„ู…ุงุก. ุจุญุท ุฃู†ุง ุทุจุนุงู‹ ุจูุชุญ ูุชุญุฉ
544
+
545
+ 137
546
+ 00:13:47,000 --> 00:13:50,600
547
+ ู‚ุจู„ ุงู„ู€ obstruction ูˆุจุนุฏ ุงู„ู€ obstructionุŒ ูˆุจูˆุตู„ ุงู„ู€
548
+
549
+ 138
550
+ 00:13:50,600 --> 00:13:53,000
551
+ manometerุŒ ุงู„ู€ manometer ูŠุนู†ูŠ ูƒุฃู†ู‡ ุฒุฆุจู‚ ุฃูˆ ุฃูŠ ุณุงุฆู„
552
+
553
+ 139
554
+ 00:13:53,000 --> 00:13:57,080
555
+ ุซุงู†ูŠ. ุงู„ุขู† ุงู„ุถุบุท ู‡ู†ุง ุฃุนู„ู‰ ู„ุฃู† ู‡ู†ุง ุฃุนู„ู‰ุŒ ู‡ูŠุถุบุท ุนู„ู‰
556
+
557
+ 140
558
+ 00:13:57,080 --> 00:13:59,780
559
+ .. ู‡ูŠุถุบุท ุนู„ู‰ ุงู„ู€ fluidุŒ ู‡ูŠุทู„ุน ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ. ู‡ุฐุง ุจูŠุตูŠุฑ
560
+
561
+ 141
562
+ 00:13:59,780 --> 00:14:04,380
563
+ ุนู†ุฏูŠ ุฅูŠุดุŸ pressure differenceุŒ pressure difference.
564
+
565
+ 142
566
+ 00:14:04,380 --> 00:14:09,480
567
+ ู‡ุฐุง ู‡ูˆ ุงู„ู€ manometer. ุงู„ุขู† ุงู„ู…ุงุก ุจุณ ุชุทู„ุนุŒ ุจุฃู‚ูŠุณ ุงู„ู€
568
+
569
+ 143
570
+ 00:14:09,480 --> 00:14:16,820
571
+ flow rateุŒ ู…ู…ูƒู† ุฃุญุท ูˆุนุงุก ูˆุฃุญุท ู…ูŠุฒุงู†ุŒ ูˆุงู„ู…ุงุก ุงู„ู„ูŠ
572
+
573
+ 144
574
+ 00:14:16,820 --> 00:14:25,200
575
+ ุจุชูŠุฌูŠ ู‡ู†ุงุŒ ุฃุญุณุจ ุงู„ุฒู…ู† ูˆุฃุญุณุจ ูƒู…ูŠุฉ ุงู„ู…ุงุก. ุจุนุฑู ุงู„ู€
576
+
577
+ 145
578
+ 00:14:25,200 --> 00:14:30,360
579
+ dimensionsุŒ ูŠุนู†ูŠ ู…ู† ุงู„ูˆุฒู† ูˆุงู„ูƒุซุงูุฉ ุงู„ู…ุงุก ุฃุญุณุจ ุฅูŠุดุŸ
580
+
581
+ 146
582
+ 00:14:30,360 --> 00:14:36,920
583
+ flow rateุŒ ูู…ุนู†ุงุชู‡ ุฃู†ุง ุจู‚ูŠุณ ุฏู„ุชุง P ู…ู† ุฎู„ุงู„ ุฏู„ุชุง H
584
+
585
+ 147
586
+ 00:14:36,920 --> 00:14:38,180
587
+ ูˆุฏู„ุชุง V.
588
+
589
+ 148
590
+ 00:14:42,350 --> 00:14:51,870
591
+ ุฏู„ุชุง P ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ ุบุงู…ุง ููŠ ุฏู„ุชุง HุŒ ุฏู„ุชุง H ุจุชุงุนุฉ ุงู„ู€
592
+
593
+ 149
594
+ 00:14:51,870 --> 00:15:02,730
595
+ fluid. ู‡ุฐุง ุงู„ู€ ุบุงู…ุง ุงู„ู„ูŠ ู‡ูŠ G ร— ุฑูˆุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†
596
+
597
+ 150
598
+ 00:15:02,730 --> 00:15:06,490
599
+ ุงู„ุณุงุฆู„ ู‡ุฐุง ู…ุซู„ุงู‹ ุฒุฆุจู‚
600
+
601
+ 151
602
+ 00:15:08,180 --> 00:15:12,760
603
+ ุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงู„ู€ G ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุตูุฑ ุณุชุฉ
604
+
605
+ 152
606
+ 00:15:12,760 --> 00:15:15,720
607
+ ุงู„ู€ ุฑูˆ ุจุชุงุนุฉ ุงู„ุฒุฆุจู‚ ู…ุซู„ุงู‹ 13 ูุงุตู„ุฉ something
608
+
609
+ 153
610
+ 00:15:15,720 --> 00:15:22,560
611
+ ุฃู„ู ุฃูˆ 13600
612
+
613
+ 154
614
+ 00:15:22,560 --> 00:15:28,920
615
+ ุฃู„ู ู…ุซู„ุงู‹ุŒ ู‚ุฏุฑู‡ุง ุจุชุญุณุจู‡ุง. ู„ูˆ ูƒุงู† ู…ุงุกุŒ ู‡ุชูƒูˆู† ุบุงู…ุง
616
+
617
+ 155
618
+ 00:15:28,920 --> 00:15:32,140
619
+ ุชุณุงูˆูŠ ุชุณุนุฉ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุตูุฑ ุณุชุฉุŒ ุงู„ู€ ุฑูˆ ุจุชุงุนุฉ
620
+
621
+ 156
622
+ 00:15:32,140 --> 00:15:41,370
623
+ ุงู„ู…ุงุก ุฅูŠุดุŸ ุจุชุทู„ุน ุชุณุนุฉ ุขู„ุงู ุซู…ุงู†ู…ูŠุฉ ูˆุณุชุฉ ุชู‚ุฑูŠุจุงู‹.
624
+
625
+ 157
626
+ 00:15:41,370 --> 00:15:48,050
627
+ ุทุจุนุงู‹ ุฃู†ุง ุจุฃุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ ููŠ ุญุงุทุท ุฏุงูŠู…ุชุฑุŒ ุญุงุฌุฒ ู„ู…ุง
628
+
629
+ 158
630
+ 00:15:48,050 --> 00:15:51,370
631
+ ูŠุจุฏุฃ ูŠู‚ูŠุณุŒ ู„ุฃู† ู‡ูˆ ู…ุณูƒุฑ ู‡ู†ุง ูˆููŠ ุงู„ุจุฏุงูŠุฉ ุจูŠูƒูˆู† ู…ุณูƒุฑ
632
+
633
+ 159
634
+ 00:15:51,370 --> 00:15:55,130
635
+ ู‡ู†ุง ู„ุฅู†ู‡ ุญุงุณุณ ุฅู† ุฏู‡ ู‡ูŠุทูุญ ู‡ู†ุงุŒ ู„ู…ุง ูŠุจุฏุฃ ูŠุนู…ู„ ู‚ูŠุงุณ
636
+
637
+ 160
638
+ 00:15:55,130 --> 00:15:58,530
639
+ ุจูŠุฑูˆุญ ุจูŠุญูˆู‘ู„ุŒ ุจูŠุณูƒุฑ ู‡ุฐุง ูˆุจูŠูุชุญู‡ุง ุงู„ู…ุงูŠูƒุฑูˆู…ูŠุชุฑ ุจูŠู‡ุฏุฑ
640
+
641
+ 161
642
+ 00:15:58,530 --> 00:16:06,340
643
+ ุงุชุฌุงู‡ ุนุดุงู† ูŠู‚ูŠุณ ุงู„ูˆุฒู†. ูู‡ุฐุง ู‡ูˆ one proposed setup
644
+
645
+ 162
646
+ 00:16:06,340 --> 00:16:13,860
647
+ for measurement of K. ูุงู„ู€
648
+
649
+ 163
650
+ 00:16:13,860 --> 00:16:16,460
651
+ calibration consist ุนู…ู„ูŠุฉ ุงู„ุชุฌุฑุจุฉ ุจุชุชูƒูˆู† ู…ู†
652
+
653
+ 164
654
+ 00:16:16,460 --> 00:16:18,880
655
+ experimentally determining quantity of K by
656
+
657
+ 165
658
+ 00:16:18,880 --> 00:16:22,920
659
+ collecting flowing fluidุŒ ู…ู† ุฎู„ุงู„ ุฌู…ุน ุงู„ู…ุงุก ููŠ tank
660
+
661
+ 166
662
+ 00:16:22,920 --> 00:16:27,180
663
+ ู„ูุชุฑุฉ ุฒู…ู†ูŠุฉ ู…ุนูŠู†ุฉุŒ ู…ู† ุญุณุงุจ ุงู„ุญุฌู… ุฃูˆ ุงู„ูƒุชู„ุฉ ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:16:27,180 --> 00:16:33,220
667
+ ุฏุฎู„ุชุŒ ุจุญุณุจ ุงู„ู€ flow rate ุจุชุงุน ุงู„ู…ุงุก. ุงู„ู€ flow rate ู‡ูŠูƒูˆู†
668
+
669
+ 168
670
+ 00:16:33,220 --> 00:16:41,300
671
+ ุญุฌู… ุนู„ู‰ ุฒู…ู†ุŒ ุญุฌู… ุนู„ู‰ ุฒู…ู†ุŒ ุจุฑุถู‡ ุจุณุฌู‘ู„ ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท.
672
+
673
+ 169
674
+ 00:16:41,300 --> 00:16:49,880
675
+ I record delta P ุงู„ู„ูŠ ู‡ูŠ P1 ู†ุงู‚ุต P2ุŒ ู…ุด P2 ู†ุงู‚ุต P1. ุงู„ู€ flow rate Q ุจูŠุณุงูˆูŠ
676
+
677
+ 170
678
+ 00:17:02,200 --> 00:17:07,920
679
+ mass flow rateุŒ ุฃูˆ ู†ุญูƒูŠ ู„ู‡ ูˆุฒู† ุนุดุงู† ุฃุญูˆู„ู‡ ู„ู€ massุŒ
680
+
681
+ 171
682
+ 00:17:07,920 --> 00:17:14,620
683
+ ุจู‚ุณู…ู‡ ุนู„ู‰ ุฅูŠุดุŸ ุฎู„ู‘ูŠ
684
+
685
+ 172
686
+ 00:17:14,620 --> 00:17:20,200
687
+ ู‡ุฐุงุŒ ุงู„ูƒุชู„ุฉุŒ ุจู‚ุณู…ู‡ ุนู„ู‰ ุฑูˆุŒ ุจุชุญูˆู‘ู„ู‡ ู„ู€ volumeุŒ ุจู‚ุณู…ู‡ ุนู„ู‰
688
+
689
+ 173
690
+ 00:17:20,200 --> 00:17:24,720
691
+ ุฒู…ู†ุŒ ุจุชุญูˆู‘ู„ู‡ ู„ุฅูŠุดุŸ ู„ู€ volume. ูŠุนู†ูŠ ู‡ุฐุง ุงู„ู€ term ู‡ุฐุง ุฅูŠุดุŸ
692
+
693
+ 174
694
+ 00:17:24,720 --> 00:17:37,000
695
+ volumeุŒ ุตุญุŸ ุจูŠุณุงูˆูŠ volume ุนู„ู‰ TุŒ ูˆ
696
+
697
+ 175
698
+ 00:17:37,000 --> 00:17:44,080
699
+ ุงู„ู€ A2 ุงู„ู„ูŠ ู‡ูŠ ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน A2.
700
+
701
+ 176
702
+ 00:1
703
+
704
+ 223
705
+ 00:22:25,630 --> 00:22:31,110
706
+ ุฃู‡ู…ูŠุฉ ูŠุนู†ูŠ ุชุฃุซูŠุฑู‡ุง ุนู„ู‰ ุฅู†ุชุงุฌ ุงู„ุชุฌุฑุจุฉ ูŠุนู†ูŠ ุจุฏูƒ ุชุดูˆู
707
+
708
+ 224
709
+ 00:22:31,110 --> 00:22:35,850
710
+ ู…ูŠู† ุงู„ุดุบู„ุงุช ุจุชูƒูˆู† ููŠู‡ุง ุฏู‚ูŠู‚ุฉ accurate and precise
711
+
712
+ 225
713
+ 00:22:35,850 --> 00:22:41,130
714
+ ูˆููŠ ุดุบู„ุงุช ุฃู† ุงู„ุฏู‚ุฉ ูˆ ุงู„ precision ููŠู‡ุง ู‡ุชูƒูˆู† ู…ุถูŠุฉ
715
+
716
+ 226
717
+ 00:22:41,130 --> 00:22:48,750
718
+ ุนู„ู‰ ุงู„ูˆู‚ุชุŒ ูู‡ูŠ ุงู„ู‡ุฏู ู…ู† ุฃู†ูƒ ุชุนู…ู„ some analysis ู‚ุจู„
719
+
720
+ 227
721
+ 00:22:48,750 --> 00:22:55,110
722
+ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉุŒ ูˆุงู„ู‡ุฏู ู„ู…ุง ุฃุนุฑู ุฅูŠุด ุงู„ู…ุชุบูŠุฑุงุช
723
+
724
+ 228
725
+ 00:22:55,110 --> 00:22:59,750
726
+ ุงู„ุฃูƒุซุฑ ุชุฃุซูŠุฑุง ุฃุฑูƒุฒ ุนู„ูŠู‡ุงุŒ ูˆุงู„ุนู†ุงุตุฑ ุงู„ุฃู‚ู„ ุฃูˆ
727
+
728
+ 229
729
+ 00:22:59,750 --> 00:23:05,510
730
+ ุงู„ุชุฃุซูŠุฑู‡ุง ู„ูŠุณ ุฐูˆ ู‚ูŠู…ุฉุŒ ู…ุง ุฃู‡ุชู… ููŠู‡ุง ุจุฏุฑุฌุฉ ุฃุนู„ู‰ ุฌุฏุง
731
+
732
+ 230
733
+ 00:23:05,510 --> 00:23:09,330
734
+ ุฃู‡ุชู… ููŠู‡ุงุŒ ุจุณ ู…ุด ุจุฏุฑุฌุฉ ุฃุนู„ู‰ ุฌุฏุงุŒ ู„ุฃู† ุงู„ุงู‡ุชู…ุงู… ููŠ
735
+
736
+ 231
737
+ 00:23:09,330 --> 00:23:12,350
738
+ ุงู„ุดุบู„ ู‡ุฐุง ู…ุด ู…ุฌุฑุฏ ุงู‡ุชู…ุงู…ุŒ ูŠุนู†ูŠ ุฃู†ุง ๏ฟฝ๏ฟฝุจูŠุช ุงู„ variable
739
+
740
+ 232
741
+ 00:23:13,280 --> 00:23:19,920
742
+ ูŠุนู†ูŠ cost ุชูƒู„ูุฉุŒ ุตุญุŸ
743
+
744
+ 233
745
+ 00:23:19,920 --> 00:23:23,760
746
+ ุงู„ุขู† ููŠ ุนู†ุฏูŠ both bias and precision errors should
747
+
748
+ 234
749
+ 00:23:23,760 --> 00:23:26,800
750
+ be consideredุŒ ูŠุนู†ูŠ ุฃู†ุง ุจุฏูŠ ุฃุฎุฏ ููŠ ุงู„ุงุนุชุจุงุฑ ุงู„
751
+
752
+ 235
753
+ 00:23:26,800 --> 00:23:33,340
754
+ precision ูˆุงู„ bias ุฃูˆ ุงู„ systematic errorsุŒ ุงู„
755
+
756
+ 236
757
+ 00:23:33,340 --> 00:23:38,940
758
+ precision errors ู‡ูŠ ุจุชู…ุซู„ ู‚ุฏ ุงูŠุด ุฃู†ุง ุจุนูŠุฏ ุนู† ุงู„
759
+
760
+ 237
761
+ 00:23:38,940 --> 00:23:42,540
762
+ central value of measurementุŒ central value of
763
+
764
+ 238
765
+ 00:23:42,540 --> 00:23:47,840
766
+ measurementุŒ ู‚ุฏ ุงูŠุด ุงุชุดุชุช ุนู†ู‡ุงุŒ ุงู„ bias ุฏู‡ ุจูŠุนุจุฑ ุนู†
767
+
768
+ 239
769
+ 00:23:47,840 --> 00:23:51,280
770
+ some fixed amount of errorุŒ some fixed amount ุณูˆุงุก
771
+
772
+ 240
773
+ 00:23:51,280 --> 00:23:52,080
774
+ ูŠู…ูŠู† ุฃูˆ ุดู…ุงู„
775
+
776
+ 241
777
+ 00:23:55,720 --> 00:23:59,600
778
+ ุงู„ุขู† since we have no samplesุŒ ู…ุง ููŠุด ุนู†ุฏูŠ ุนูŠู†ุงุช
779
+
780
+ 242
781
+ 00:23:59,600 --> 00:24:06,280
782
+ ูƒุจูŠุฑุฉุŒ ู‚ูŠุงุณุงุช ูƒุชูŠุฑุŒ for statistical analysis we can
783
+
784
+ 243
785
+ 00:24:06,280 --> 00:24:11,860
786
+ rely ุฃูˆ
787
+
788
+ 244
789
+ 00:24:11,860 --> 00:24:16,720
790
+ we can only estimateุŒ ู…ู…ูƒู† ู†ุนู…ู„ ุชู‚ุฏูŠุฑ ุงู„ expected
791
+
792
+ 245
793
+ 00:24:16,720 --> 00:24:22,460
794
+ size of potential precision errors using
795
+
796
+ 246
797
+ 00:24:22,460 --> 00:24:27,560
798
+ estimations for the standard deviationุŒ ูŠุนู†ูŠ ุงุญู†ุง
799
+
800
+ 247
801
+ 00:24:27,560 --> 00:24:30,900
802
+ ู‡ู†ุง ุญุงูˆู„ู†ุง single sample uncertainty estimate
803
+
804
+ 248
805
+ 00:24:30,900 --> 00:24:38,400
806
+ single sample uncertainty estimateุŒ ุฃูˆู„
807
+
808
+ 249
809
+ 00:24:38,400 --> 00:24:41,380
810
+ ุดูŠุก ู‡ู†ุณูŠู‡ first estimate single sample precision
811
+
812
+ 250
813
+ 00:24:41,380 --> 00:24:44,560
814
+ and bias uncertainty in each measured variable
815
+
816
+ 251
817
+ 00:24:44,560 --> 00:24:48,560
818
+ then propagate these uncertainties into K
819
+
820
+ 252
821
+ 00:24:52,320 --> 00:24:59,640
822
+ is a function of w, dt, rho, delta pุŒ ูˆูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง
823
+
824
+ 253
825
+ 00:24:59,640 --> 00:25:04,160
826
+ ุฏูŠ ููŠู‡ุง ุฅูŠุด uncertainty ุณูˆุงุก ูƒุงู†ุช bias uncertainty
827
+
828
+ 254
829
+ 00:25:04,160 --> 00:25:08,700
830
+ ุฃูˆ precision uncertaintyุŒ ูˆุงุญู†ุง ุฃุฎุฏู†ุง ู…ุนุงุฏู„ุงุช ุฅุฐุง
831
+
832
+ 255
833
+ 00:25:08,700 --> 00:25:11,340
834
+ ุนุฑูู†ุง ุงู„ uncertainties ููŠ ู‡ุฐู‡ ุงู„ variables ูƒูŠู ูŠุญุตู„
835
+
836
+ 256
837
+ 00:25:11,340 --> 00:25:14,880
838
+ uncertainty ููŠ ุงู„ KุŒ ูู‡ุฐุง ุจู†ุณู…ูŠู‡ propagation of
839
+
840
+ 257
841
+ 00:25:14,880 --> 00:25:21,600
842
+ uncertainty in KุŒ ูุฃู†ุง ุจุนู…ู„ estimates ุฃูˆู„ ุดูŠุก ู„ู„
843
+
844
+ 258
845
+ 00:25:21,600 --> 00:25:31,820
846
+ uncertainties ููŠ w, d, t ูˆ rho ูˆ delta PุŒ ู‡ุจุฏุฃ
847
+
848
+ 259
849
+ 00:25:31,820 --> 00:25:35,660
850
+ ููŠ ุงู„ weightุŒ ุงู„
851
+
852
+ 260
853
+ 00:25:35,660 --> 00:25:42,610
854
+ weightุŒ ุฃู†ุง ุจูˆุฒู†.. ุจูˆุฒู† ุงู„ู…ูŠ ุฃู†ุงุŒ ุตุญุŸ ุจุงุณุชุฎุฏุงู… ุฅูŠุด
855
+
856
+ 261
857
+ 00:25:42,610 --> 00:25:47,670
858
+ ู…ูŠุฒุงู†ุŒ ุงู„ weight is measured with a platform scale
859
+
860
+ 262
861
+ 00:25:47,670 --> 00:25:51,170
862
+ ูŠุนู†ูŠ ุงู„ scale ู…ูŠุฒุงู†ุŒ ูˆุงู„ู…ูŠ ุจุชุญุท ุจูŠูƒูˆู† ูŠุนุทูŠู†ูŠ
863
+
864
+ 263
865
+ 00:25:51,170 --> 00:25:52,950
866
+ ู‚ุฑุงุกุฉ ู„ุฅูŠุดุŸ ู„ู„ูˆุฒู†
867
+
868
+ 264
869
+ 00:25:56,130 --> 00:25:59,690
870
+ ุจุฏูŠ ุฃุณุฃู„ุŒ ุฃูุณุฑ what bias uncertainty exist in the
871
+
872
+ 265
873
+ 00:25:59,690 --> 00:26:04,870
874
+ scale measurementุŒ ุฅูŠุด ู‚ูŠู…ุฉ ุงู„ biasุŸ ูŠุนู†ูŠ ุฅูŠุด ู‚ูŠู…ุฉ
875
+
876
+ 266
877
+ 00:26:04,870 --> 00:26:06,730
878
+ ุงู„ offset ููŠ ุงู„ู‚ุฑุงุกุฉุŸ ู…ุซู„ุง ู…ู…ูƒู† ุชูƒูˆู† ุฏุงุฆู…ุง ุชู‚ูˆู„
879
+
880
+ 267
881
+ 00:26:06,730 --> 00:26:12,070
882
+ offset ููŠ ุงู„ู…ูˆุฌุจ ุฃูˆ offset ููŠ ุงู„ุณุงู„ุจุŒ offset ููŠ
883
+
884
+ 268
885
+ 00:26:12,070 --> 00:26:16,290
886
+ ุงู„ู…ูˆุฌุจ ุฃูˆ offset ููŠ ุงู„ุณุงู„ุจุŒ ูŠุนู†ูŠ ููŠ ุงู„ calibration
887
+
888
+ 269
889
+ 00:26:17,490 --> 00:26:22,350
890
+ ููŠ ุฏุงุฆู…ุง ุฏูŠ some fixed amount of errorุŒ ู…ู…ูƒู† due to
891
+
892
+ 270
893
+ 00:26:22,350 --> 00:26:26,950
894
+ the mechanism of the scaleุŒ ู‚ุฑุงุกุฉ ุงู„ูˆุฒู† ุจุชุนู…ู„ ู‡ุฐูŠ
895
+
896
+ 271
897
+ 00:26:26,950 --> 00:26:33,210
898
+ ุงู„ bias ุฃูˆ ุงู„ุงู†ุญุฑุงูุŒ ู…ุนู†ุงุชู‡ ุจุฏูŠ ุฃุณุฃู„ู‡ what bias
899
+
900
+ 272
901
+ 00:26:33,210 --> 00:26:36,650
902
+ uncertainty exist in the scale measurementุŸ has the
903
+
904
+ 273
905
+ 00:26:36,650 --> 00:26:40,290
906
+ scale's calibration been checkedุŸ ู‡ู„ ุฃู†ุช ุนู…ู„ุช ู„ู‡
907
+
908
+ 274
909
+ 00:26:40,290 --> 00:26:44,370
910
+ calibration ู„ู„ุฌู‡ุงุฒ ุนุดุงู† ุชุนุฑู ุงู„ bias uncertainty
911
+
912
+ 275
913
+ 00:26:44,370 --> 00:26:48,190
914
+ ุชุนุฑู ุงู„ zero offsetุŒ ูˆุงู„ู„ู‡ somebody else ุนู…ู„ ุงู„
915
+
916
+ 276
917
+ 00:26:48,190 --> 00:26:50,790
918
+ calibration ูˆู…ุนุทูŠูƒ ุจูŠุงู†ุงุชุŒ ุญูŠู‚ูˆู„ ู„ูƒ ูˆุงู„ู„ู‡ ุงู„
919
+
920
+ 277
921
+ 00:26:50,790 --> 00:26:55,290
922
+ linearity ูƒุฐุงุŒ ุงู„ zero offset ูƒุฐุงุŒ ุงู„ hysteresis ูƒุฐุง
923
+
924
+ 278
925
+ 00:26:55,290 --> 00:26:59,270
926
+ ู…ุนู†ุงุชู‡ has the scale's calibration been checked by
927
+
928
+ 279
929
+ 00:26:59,270 --> 00:27:04,030
930
+ yourself ูƒ experimenter ุฃูˆ how recently and
931
+
932
+ 280
933
+ 00:27:04,030 --> 00:27:06,910
934
+ against what standardุŸ ู„ู…ุง ุฃู†ุง ุฃุนู…ู„ calibration of
935
+
936
+ 281
937
+ 00:27:06,910 --> 00:27:11,410
938
+ some deviceุŒ ุจุนู…ู„ against some standard ุฃูˆ against
939
+
940
+ 282
941
+ 00:27:11,410 --> 00:27:18,820
942
+ some device that is more accurate than ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ
943
+
944
+ 283
945
+ 00:27:18,820 --> 00:27:24,020
946
+ ุฃู†ุง ุจุณุชุฎุฏู…ู‡ุŒ ูŠ๏ฟฝ๏ฟฝู†ูŠ ุฅุฐุง ุจุฏุฃุช ุฃุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ุฌู‡ุงุฒ ู„ู„ูˆุฒู†
947
+
948
+ 284
949
+ 00:27:24,020 --> 00:27:26,760
950
+ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ rule of thumbุŒ ู„ุงุฒู… ูŠูƒูˆู† ุงู„ answer
951
+
952
+ 285
953
+ 00:27:26,760 --> 00:27:29,500
954
+ ุชู†ุชู‡ูŠ ููŠ ุงู„ุฌู‡ุงุฒ ุงู„ู…ุนุงูŠุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุงู„ุฃูƒุซุฑ ุฏู‚ุฉ
955
+
956
+ 286
957
+ 00:27:29,500 --> 00:27:36,520
958
+ ุชูƒูˆู† at least at mostุŒ ุงู„ answer ุชูƒูˆู† ุฃุดุฑ ุงู„ู„ูŠ ู‡ูˆ
959
+
960
+ 287
961
+ 00:27:36,520 --> 00:27:40,360
962
+ ุงู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉุŒ ูŠุนู†ูŠ ู‡ูˆ ุชู‚ุฑูŠุจุง ุฃูƒุซุฑ ุฏู‚ุฉ ุจุนุดุฑ
963
+
964
+ 288
965
+ 00:27:40,360 --> 00:27:42,680
966
+ ุฃุถุนุงูุŒ ุทูŠุจ
967
+
968
+ 289
969
+ 00:27:45,650 --> 00:27:48,510
970
+ presumablyุŒ ูŠุนู†ูŠ ุนู„ู‰ ูุฑุถูŠุฉ we have made some sort
971
+
972
+ 290
973
+ 00:27:48,510 --> 00:27:51,150
974
+ of checkุŒ ุงุญู†ุง ุนู…ู„ู†ุง checkุŒ ุนู…ู„ุช calibration ู„ู„ุฌู‡ุงุฒ
975
+
976
+ 291
977
+ 00:27:51,150 --> 00:27:56,510
978
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… gauge blocksุŒ ุทูŠุจ
979
+
980
+ 292
981
+ 00:27:56,510 --> 00:28:00,410
982
+ if notุŒ user should include such dataุŒ ูŠุนู†ูŠ if not
983
+
984
+ 293
985
+ 00:28:00,410 --> 00:28:02,730
986
+ ุจูุชุญ ุงู„ catalog ุจุชุงุน ุงู„.. ุฅุฐุง ู…ุง ุนุฑูุชุด ุฃู†ุง
987
+
988
+ 294
989
+ 00:28:02,730 --> 00:28:05,470
990
+ calibration ู„ุญุงู„ูŠุŒ ุจูุชุญ ุงู„ catalog ุจุชุงุน ุงู„ู…ุตู†ุน
991
+
992
+ 295
993
+ 00:28:05,470 --> 00:28:10,670
994
+ ุจูŠูƒูˆู† ุญุงุทุท ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„.. ุงู„ู„ูŠ ู‡ูˆ ุงู„ zero offset
995
+
996
+ 296
997
+ 00:28:10,670 --> 00:28:13,930
998
+ ูˆ ุงู„ uncertaintyุŒ ูƒุฌู‡ุงุฒุŒ ุฃูŠ ู…ุตู†ุน ู„ุงุฒู… ูŠุญุท ุงู„ู…ุนู„ูˆู…ุงุช
999
+
1000
+ 297
1001
+ 00:28:13,930 --> 00:28:20,930
1002
+ ู‡ุฐู‡ุŒ let us say ุฃู†ุง ุจุชู‚ูˆู„ ู„ูƒ ุฒูŠ ู…ุง ู‡ุชุจุญุซุŒ ูƒูŠู ุชููƒุฑ ููŠ
1003
+
1004
+ 298
1005
+ 00:28:20,930 --> 00:28:25,170
1006
+ ุฅุฌุฑุงุก ุฃูŠ ุชุฌุงุฑุจุŒ let us say that in our judgment ููŠ
1007
+
1008
+ 299
1009
+ 00:28:25,170 --> 00:28:29,790
1010
+ ุชู‚ุฏูŠุฑู†ุงุŒ an uncertainty of plus or minus one
1011
+
1012
+ 300
1013
+ 00:28:29,790 --> 00:28:37,070
1014
+ percent is justifiedุŒ ูŠุนู†ูŠ ู†ุณุจุฉ ุฎุทุฃ ุฒูŠุงุฏุฉ ูˆุงุญุฏ ููŠ
1015
+
1016
+ 301
1017
+ 00:28:37,070 --> 00:28:42,830
1018
+ ุงู„ู…ูŠุฉ ุชุนุชุจุฑ ุฅูŠุดุŸ ู…ู‚ุจูˆู„ุฉุŒ with a confidence of about
1019
+
1020
+ 302
1021
+ 00:28:42,830 --> 00:28:46,390
1022
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉุŒ ูŠุนู†ูŠ ุจุฏุฑุฌุฉ ูŠู‚ูŠู† ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ
1023
+
1024
+ 303
1025
+ 00:28:46,390 --> 00:28:51,270
1026
+ ุจุชูƒูˆู† ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉ plus or minus ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1027
+
1028
+ 304
1029
+ 00:28:51,270 --> 00:28:57,130
1030
+ ุงู„ู…ุนู†ู‰ ููŠ ุงู„ weightุŒ ู†ุญูƒูŠ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ plus or
1031
+
1032
+ 305
1033
+ 00:28:57,130 --> 00:28:58,070
1034
+ minus ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1035
+
1036
+ 306
1037
+ 00:29:06,070 --> 00:29:11,670
1038
+ ุงู„ bias uncertainty ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุงู„ุซุงุจุช ููŠ ู‚ุฑุงุกุฉ
1039
+
1040
+ 307
1041
+ 00:29:11,670 --> 00:29:17,410
1042
+ ุงู„ูˆุฒู†ุŒ is dependent to some degree on the magnitude
1043
+
1044
+ 308
1045
+ 00:29:17,410 --> 00:29:21,710
1046
+ of weight measured relative to the scale range
1047
+
1048
+ 309
1049
+ 00:29:21,710 --> 00:29:25,090
1050
+ ูŠุนู†ูŠ ุฅุฐุง ุนู†ุฏูŠ ุงู„ scale range ู…ู† ุตูุฑ ู„ู…ุฆุฉ ูƒูŠู„ูˆ
1051
+
1052
+ 310
1053
+ 00:29:25,090 --> 00:29:34,300
1054
+ ู…ุชูˆู‚ุน ุงู„ุฎุทุฃ ุจูŠุฒูŠุฏ ูƒู„ ู…ุง ุฒุงุฏ ุงู„ูˆุฒู†ุŒ ุตุญุŸ ุจูŠุฒูŠุฏุŒ ูƒู„ ู…ุง ุจุชุฒูŠุฏ
1055
+
1056
+ 311
1057
+ 00:29:34,300 --> 00:29:40,580
1058
+ ุงู„ู„ูŠ ู‡ูˆ absolute value ุจุชุงุนุชู‡ ุจูŠุฒูŠุฏุŒ ุงู„
1059
+
1060
+ 312
1061
+ 00:29:40,580 --> 00:29:43,060
1062
+ precision uncertainty in weight measurement will
1063
+
1064
+ 313
1065
+ 00:29:43,060 --> 00:29:47,240
1066
+ be caused byุŒ ุงู„ precision ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุดุชุช ุนู† ุงู„
1067
+
1068
+ 314
1069
+ 00:29:47,240 --> 00:29:51,720
1070
+ central value ู„ู„ู‚ุฑุงุกุงุชุŒ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุตุฏุฑู‡ุง ุงู„ุชุงู„ูŠ
1071
+
1072
+ 315
1073
+ 00:29:51,720 --> 00:29:57,460
1074
+ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู…ูŠุฒุงู† ู‚ุฑุงุกุชู‡ ุจุณ ุจุชุชุบูŠุฑ ุจุณุฑุนุฉุŒ ูููŠ
1075
+
1076
+ 316
1077
+ 00:29:57,460 --> 00:30:01,380
1078
+ ุงู„ reading out ู…ู…ูƒู† ุชู‚ุฑุฃ ูŠุนู†ูŠ ุฃุนู„ู‰ ุฃูˆ ุฃู‚ู„ุŒ ุงู„ู„ูŠ ู‡ูŠ
1079
+
1080
+ 317
1081
+ 00:30:01,380 --> 00:30:05,360
1082
+ read.. reading.. reading error in the scaleุŒ ุฃูˆ
1083
+
1084
+ 318
1085
+ 00:30:05,360 --> 00:30:12,140
1086
+ ุงู„ hysteresisุŒ ุฅูŠุด ูŠุนู†ูŠ ุงู„ hysteresisุŸ ุนู„ู‰ ุตูˆุชูƒ
1087
+
1088
+ 319
1089
+ 00:30:12,140 --> 00:30:17,780
1090
+ physical
1091
+
1092
+ 320
1093
+ 00:30:17,780 --> 00:30:23,780
1094
+ ุฅูŠุด ูŠุนู†ูŠุŸ ู‡ูŠ ุงู„ูุฑู‚ ููŠ ุงู„ู‚ุฑุงุกุงุช ุจูŠู† ุงู„ loading ูˆุงู„
1095
+
1096
+ 321
1097
+ 00:30:23,780 --> 00:30:28,410
1098
+ unloadingุŒ ุขุณูุŒ ุงู„ู…ูŠูƒุงู†ุฒู… ุจุชุงุนุฉ ุงู„.. ุฃูŠูˆุฉุŒ ูุงู„..
1099
+
1100
+ 322
1101
+ 00:30:28,410 --> 00:30:30,530
1102
+ ุจูŠู† ุงู„ loading ูˆุงู„ unloading ุจูŠูƒูˆู† ููŠ ุนู†ุฏูƒ.. ููŠ
1103
+
1104
+ 323
1105
+ 00:30:30,530 --> 00:30:33,990
1106
+ ูุฑุงุบุงุช ููŠ ุงู„.. ุฅุฐุง ููŠ friction ู…ุซู„ุงุŒ ุฃูˆ ููŠ friction
1107
+
1108
+ 324
1109
+ 00:30:33,990 --> 00:30:38,810
1110
+ ู…ู…ูƒู† ุชุนู…ู„ูŠ hysteresisุŒ ุงู„ friction ู†ูุณู‡ ููŠ ุงู„ุฌู‡ุงุฒ
1111
+
1112
+ 325
1113
+ 00:30:38,810 --> 00:30:43,530
1114
+ ุฅุฐุง ููŠ ู…ุซู„ุง ุดุบู„ุงุช ู…ุชุญุฑูƒุฉุŒ slidingุŒ ู…ู…ูƒู† ุชุนู…ู„ูŠ ุฅูŠุด
1115
+
1116
+ 326
1117
+ 00:30:43,530 --> 00:30:47,390
1118
+ errorุŒ ุฃูˆ ุงู„ backlash ููŠ ุงู„ scale mechanismุŒ ู…ู…ูƒู†
1119
+
1120
+ 327
1121
+ 00:30:47,390 --> 00:30:48,430
1122
+ ุชุนู…ู„ ุฅูŠุดุŸ error
1123
+
1124
+ 328
1125
+ 00:30:51,100 --> 00:30:55,420
1126
+ ุทูŠุจุŒ size or standard deviation of the reading
1127
+
1128
+ 329
1129
+ 00:30:55,420 --> 00:31:00,200
1130
+ errorุŒ ู„ุฃู† ููŠ ุญุงุฌุฉ reading errorุŒ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ
1131
+
1132
+ 330
1133
+ 00:31:00,200 --> 00:31:12,400
1134
+ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ resolution ู„ู„ู‚ุฑุงุกุงุชุŒ ู‡ู„ ุฑุฒู†ุดู† ู…ุซู„ุง ู†ุต
1135
+
1136
+ 331
1137
+ 00:31:12,400 --> 00:31:19,740
1138
+ ูƒูŠู„ูˆุŒ ูˆู„ุง ุนุดุฑ ุฌุฑุงู…ุŒ ูˆู„ุง ุฎู…ุณ ุฌุฑุงู…ุŒ ูˆู„ุง ูˆุงุญุฏ ุฌุฑุงู…
1139
+
1140
+ 332
1141
+ 00:31:23,380 --> 00:31:27,700
1142
+ perhaps point one percent error covers one
1143
+
1144
+ 333
1145
+ 00:31:27,700 --> 00:31:32,860
1146
+ standard deviation in the scaleุŒ ูู‡ูˆ ุงุนุชุจุฑ ุฃู†ู‡ ุฅุฐุง
1147
+
1148
+ 334
1149
+ 00:31:32,860 --> 00:31:35,060
1150
+ one standard deviationุŒ one standardุŒ ูŠุนู†ูŠ plus
1151
+
1152
+ 335
1153
+ 00:31:35,060 --> 00:31:38,400
1154
+ sigmaุŒ minus sigmaุŒ ู‡ุฐุง ุจูŠุบุทูŠุŒ ุจูŠุนุทูŠู†ุง ุฏุฑุฌุฉ ูŠู‚ูŠู† ูƒู…ุŸ
1155
+
1156
+ 336
1157
+ 00:31:40,340 --> 00:31:46,740
1158
+ 68%ุŒ plus minus two sigmaุŒ ูŠุนู†ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„
1159
+
1160
+ 337
1161
+ 00:31:46,740 --> 00:31:49,920
1162
+ central valueุŒ two sigma ุนู„ู‰ ูŠู…ูŠู†ู‡ุง two sigma
1163
+
1164
+ 338
1165
+ 00:31:49,920 --> 00:31:55,720
1166
+ ุจูŠุนุทูŠู†ุง ุฏุฑุฌุฉ ูŠู‚ูŠู† ุชู‚ุฑูŠุจุง 95%ุŒ ุงู„ plus or minus
1167
+
1168
+ 339
1169
+ 00:31:55,720 --> 00:31:59,820
1170
+ ุซู„ุงุซุฉ sigmaุŒ ูƒู„ ู…ุง ุฒุงุฏ ุงู„ rangeุŒ ุฏุฑุฌุฉ ุงู„ูŠู‚ูŠู† ุชุญุช
1171
+
1172
+ 340
1173
+ 00:31:59,820 --> 00:32:05,930
1174
+ ุงู„ุดู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ูƒู„ ู…ุง ุงุฒุฏุงุฏุช ุฏุฑุฌุงุช ุงู„ูŠู‚ูŠู†ุŒ
1175
+
1176
+ 341
1177
+ 00:32:05,930 --> 00:32:10,310
1178
+ ูู‡ูˆ ู‡ู†ุง ุงู„ standard deviation of reading error
1179
+
1180
+ 342
1181
+ 00:32:10,310 --> 00:32:14,250
1182
+ ูŠุนู†ูŠ ุงุนุชุจุฑู‡ุง point one percent
1183
+
1184
+ 343
1185
+ 00:32:16,030 --> 00:32:19,310
1186
+ hysteresisุŒ friction and backlash should be
1187
+
1188
+ 344
1189
+ 00:32:19,310 --> 00:32:23,850
1190
+ negligibleุŒ ู…ู…ูƒู† ุฃุญู…ู„ู‡ุง if the scale is in good
1191
+
1192
+ 345
1193
+ 00:32:23,850 --> 00:32:27,370
1194
+ conditionุŒ ูƒุงู† ุฌุฏูŠุฏ ูˆูˆุถุนูŠุชู‡ ูƒูˆูŠุณุฉุŒ ู…ู…ูƒู† ุฃุนู…ู„ู‡
1195
+
1196
+ 346
1197
+ 00:32:27,370 --> 00:32:33,430
1198
+ howeverุŒ if these effects are observedุŒ ุฃู† ุจุนุฏ ูุชุฑุฉ
1199
+
1200
+ 347
1201
+ 00:32:33,430 --> 00:32:37,090
1202
+ ู…ู† ุงุณุชุฎุฏุงู… ุงู„ู…ูŠุฒุงู† ุณุชู„ุงุญุธ ุงุฎุชู„ุงูุงุช ููŠ ุงู„ู‚ุฑุงุกุงุช
1203
+
1204
+ 348
1205
+ 00:32:37,090 --> 00:32:43,830
1206
+ ู„ุงุฒู… ุชุฃุฎุฐู‡ุง ููŠ ุงู„ุงุนุชุจุงุฑุŒ ููŠ ุงู„ุงุนุชุจุงุฑ ู‡ุฐุง
1207
+
1208
+ 349
1209
+ 00:32:43,830 --> 00:32:44,590
1210
+ ุจุงู„ู†ุณุจุฉ ู„ุฅูŠุดุŸ
1211
+
1212
+ 350
1213
+ 00:32:47,940 --> 00:32:58,740
1214
+ ู„ู„ูˆุฒู†ุŒ ุงู„ diameter ู‡ุฐุง ุงู„ู‚ุทุฑุŒ ุงู„ู‚ุทุฑ
1215
+
1216
+ 351
1217
+ 00:32:58,740 --> 00:33:02,920
1218
+ ุจุชุงุน ุงู„ orificeุŒ ู„ุงุฒู… ุฃู‚ูŠุณู‡ุŒ ุฃู†ุง ู…ุจูŠู† ุนู†ุฏู‡ูŠู†ุŒ ุงุญู†ุง
1219
+
1220
+ 352
1221
+ 00:33:02,920 --> 00:33:07,700
1222
+ ู…ูุชุฑุถูŠู† ู„ู„ orifice sharp edgeุŒ ูŠุนู†ูŠ ุดุงูŠููŠู† ุนู†ุฏู‡ูŠู†
1223
+
1224
+ 353
1225
+ 00:33:07,700 --> 00:33:14,710
1226
+ sharp edgeุŒ ุนู†ุฏู‡ูŠู† sharp edgeุŒ ู…ู…ูƒู† ุฃุณุชุฎุฏู… inside
1227
+
1228
+ 354
1229
+ 00:33:14,710 --> 00:33:19,650
1230
+ micrometerุŒ ุฃุณุชุฎุฏู… micrometer ุนุดุงู† ุฃู‚ูŠุณ ุงู„ู‚ุทุฑ
1231
+
1232
+ 355
1233
+ 00:33:19,650 --> 00:33:23,630
1234
+ ุงู„ุณุคุงู„ุŒ did we check the micrometer against the
1235
+
1236
+ 356
1237
+ 00:33:23,630 --> 00:33:25,550
1238
+ gauge blocksุŸ ุฌุจู†ุง ุงู„ gauge blocks ุฒูŠ ุงู„ุชุฌุงุฑุจ
1239
+
1240
+ 357
1241
+ 00:33:25,550 --> 00:33:30,830
1242
+ ุงู„ู„ูŠ ุนู…ู„ุชูˆู‡ุงุŒ ูˆูุญุตู†ุงู‡ุงุŒ ูˆุชุฃูƒุฏู†ุง ุฃู†ู‡ ุจูŠุนุทูŠู†ุง ู†ุชุงุฆุฌ
1243
+
1244
+ 358
1245
+ 00:33:30,830 --> 00:33:36,710
1246
+ ูƒูˆูŠุณุฉุŒ or are we accepting its scale as isุŸ ุฃูˆ ุงุญู†ุง
1247
+
1248
+ 359
1249
+ 00:33:36,710 --> 00:33:40,010
1250
+ ุฎู„ุงุต ุงู„ scale ุงู„ู„ูŠ ู‡ูˆ ุญุงุทู‡ุŒ ุฃุนุชุจุฑู‡ ู…ู‚ุจูˆู„ ุจุงู„ู†ุณุจุงู„ูŠ
1251
+
1252
+ 360
1253
+ 00:33:40,010 --> 00:33:41,010
1254
+ ุจุฏูˆู† calibration
1255
+
1256
+ 361
1257
+ 00:33:43,700 --> 00:33:47,220
1258
+ ุณุคุงู„ ุซุงู†ูŠุŒ how experienced are we in using a
1259
+
1260
+ 362
1261
+ 00:33:47,220 --> 00:33:52,280
1262
+ micrometerุŸ ุจุฑุถู‡ ุงู„ุฎุจุฑุฉ ููŠ ุงุณุชุฎุฏุงู… ุงู„ุฌู‡ุงุฒ ุจุชุนุทูŠูƒ
1263
+
1264
+ 363
1265
+ 00:33:52,280 --> 00:34:00,060
1266
+ ุฏู‚ุฉ ุฃูƒุซุฑ ููŠ ุงู„ู‚ุฑุงุกุงุชุŒ we
1267
+
1268
+ 364
1269
+ 00:34:00,060 --> 00:34:03,820
1270
+ intend to measure the orifice only onceุŒ ู‡ูˆ ู‡ูŠุงุฎุฏ
1271
+
1272
+ 365
1273
+ 00:34:03,820 --> 00:34:07,340
1274
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู„ู„ orificeุŒ ู…ุด ู‡ูŠุงุฎุฏ ู‚ุฑุงุกุงุช ูƒุชูŠุฑ ูˆูŠุญุณุจ
1275
+
1276
+ 366
1277
+ 00:34:07,340 --> 00:34:09,920
1278
+ standard deviationุŒ ู‡ูŠุงุฎุฏ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ
1279
+
1280
+ 367
1281
+ 00:34:12,710 --> 00:34:17,470
1282
+ ูˆู‡ูŠุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ููŠ ูƒู„ ุงู„ุชุทุจูŠู‚ุงุชุŒ ูŠุนู†ูŠ ุฎู„ุงุต
1283
+
1284
+ 368
1285
+ 00:34:17,470 --> 00:34:21,190
1286
+ ุฃุฎุฐู‡ุงุŒ ุงู„ู‚ูŠุงุณ ุทู„ุนุช ูˆุงุญุฏ ุฅู†ุด ูˆู„ุง ู†ุต ุฅู†ุดุŒ ุฎู„ุงุต ู‡ูŠุงุฎุฏู‡ุง
1287
+
1288
+ 369
1289
+ 00:34:21,190 --> 00:34:28,310
1290
+ ููŠ ูƒู„ ุงู„ุชุฌุงุฑุจุŒ ุจุนุฏูŠู† ู‡ูŠุงุฎุฏู‡ุง ูˆุงุญุฏ ุฅู†ุดุŒ after
1291
+
1292
+ 370
1293
+ 00:34:28,310 --> 00:34:33,110
1294
+ these considerationsุŒ ุจุฏุฑุฌุฉ ุชูƒูˆู† ุฎู…ุณุฉ ูˆุชุณุนูŠู†ุŒ we
1295
+
1296
+ 371
1297
+ 00:34:33,110 --> 00:34:35,630
1298
+ estimate a ninety-five percent bias uncertainty
1299
+
1300
+ 372
1301
+ 00:34:35,630 --> 00:34:39,270
1302
+ plus or minus point o o ุซู…ุงู†ูŠุฉ ุณู†ุชูŠู…ุชุฑุŒ ุงู„ู„ูŠ ุทุจุนุง
1303
+
1304
+ 373
1305
+ 00:34:39,270 --> 00:34:43,810
1306
+ ุงู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ diameter ุจุชุงุน ุงู„ orificeุŒ ู…ุนุชุจุฑู‡ ุฃุฑุจุนุฉ ุณู†ุชูŠ
1307
+
1308
+ 374
1309
+ 00:34:43,810 --> 00:34:50,670
1310
+ ู‡ุฃุนุชุจุฑ ููŠ ุนู†ุฏูŠ biasุŒ bias ุงู‡
1311
+
1312
+ 375
1313
+ 00:34:50,670 --> 00:34:53,310
1314
+ ุจุณ ูŠุง ุจู„ูŠ ู‡ูŠูƒุŒ ุทุงู„ู…ุง ุฃู†ุง ุงุนุชุจุฑุช ุฃู† ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ
1315
+
1316
+ 376
1317
+ 00:34:53,310 --> 00:35:00,050
1318
+ ู„ู„ู‚ุทุฑุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ู‚ุฏ ุฃูƒูˆู† ุฃุฎุฏุช ุงู„ู‚ุฑุงุกุฉ ุจุงู„ุฒูŠุงุฏุฉ ุฃูˆ
1319
+
1320
+ 377
1321
+ 00:35:00,050 --> 00:35:03,170
1322
+ ุจุงู„ู†ู‚ุตุงู†ุŒ ูˆุฃู†ุง ุฃุฎุฏุช ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ุนูŠุฏู‡ุงุŒ ู…ุนู†ุงุชู‡
1323
+
1324
+ 378
1325
+ 00:35:03,170 --> 00:35:08,450
1326
+ ู‡ุฐุง ุจูŠูƒูˆู† bias ูˆู„ุง uncertaintyุŸ bias ูˆู„ุง precisionุŸ
1327
+
1328
+ 379
1329
+ 00:35:08,450 --> 00:35:15,200
1330
+ biasุŒ because I am biasedุŒ ูˆู‡ุฐู‡ ุฎู„ุงุต ุซุจุชุช ุนู„ูŠู‡ุง ุณูˆุงุก
1331
+
1332
+ 380
1333
+ 00:35:15,200 --> 00:35:19,860
1334
+ ุจุงู„ู…ูˆุฌุจ ุฃูˆ ุจุงู„ุณุงู„ุจุŒ ูู‡ุฐู‡ ู‡ุชูƒูˆู† bias uncertaintyุŒ after
1335
+
1336
+ 381
1337
+ 00:35:19,860 --> 00:35:22,700
1338
+ these considerationsุŒ we estimate a ninety-five
1339
+
1340
+ 382
1341
+ 00:35:22,700 --> 00:35:26,320
1342
+ percent bias uncertainty of plus or minus point
1343
+
1344
+ 383
1345
+ 00:35:26,320 --> 00:35:32,180
1346
+ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† plus bias point o o ุซู…ุงู†ูŠุฉ ู„ูƒู„ ุฃุฑุจุนุฉ
1347
+
1348
+ 384
1349
+ 00:35:32,180 --> 00:35:39,580
1350
+ ุณู†ุชูŠุŒ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ point o o ุซู…ุงู†ูŠุฉ ุนู„ู‰ ุฃุฑุจุนุฉ ุณู†ุชูŠ
1351
+
1352
+ 385
1353
+ 00:35:39,580 --> 00:35:47,330
1354
+ ููŠ ุงู„ู…ูŠุฉุŒ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ point ุซู…ุงู†ูŠุฉ ุนู„ู‰ ุฃุฑุจุนุฉ ููŠ ุงู„ู…ูŠุฉ
1355
+
1356
+ 386
1357
+ 00:35:47,330 --> 00:35:54,050
1358
+ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุฅูŠุดุŸ point ุงุซู†ูŠู† percentุŒ ุตุญุŸ ูŠุนู†ูŠ ู‡ูŠูƒูˆู†
1359
+
1360
+ 387
1361
+ 00:35:54,050 --> 00:35:58,790
1362
+ ุนู†ุฏูŠ ุงู„ bias uncertainty ููŠ ู‚ูŠุงุณ ุงู„ู‚ุทุฑ plus or
1363
+
1364
+ 388
1365
+ 00:35:58,790 --> 00:36:06,470
1366
+ minus point two percentุŒ point two percentุŒ ู†ูŠุฌูŠ
1367
+
1368
+ 389
1369
+ 00:36:06,470 --> 00:36:10,350
1370
+ ู„ู„ timeุŒ ู†ูŠุฌูŠ ู„ู„ time
1371
+
1372
+ 390
1373
+ 00:36:12,790 --> 00:36:15,810
1374
+ ุณุคุงู„ุŒ how accurate is the determination of the time
1375
+
1376
+ 391
1377
+ 00:36:15,810 --> 00:36:19,570
1378
+ periodุŸ ูุชุฑุฉ ุงู„ุฒู…ู† ุงู„ู„ูŠ ูƒู†ุช ุจุฃุนุจูŠ ููŠู‡ุงุŒ ูŠุนู†ูŠ ุฃู†ุง
1379
+
1380
+ 392
1381
+ 00:36:19,570 --> 00:36:23,670
1382
+ ูƒุงู† ุนู†ุฏูŠ diverterุŒ ูุชุญุช ุงู„.. ูŠุนู†ูŠ ูƒุงู† ุนู†ุฏูŠ ุฒูŠ
1383
+
1384
+ 393
1385
+ 00:36:23,670 --> 00:36:26,910
1386
+ valve ู…ุณูƒุฑ ุนู„ู‰ ุงู„.. ุนู„ู‰ ุงู„.. ุนู„ู‰ ุงู„ tankุŒ ูุชุญุช
1387
+
1388
+ 394
1389
+ 00:36:26,910 --> 00:36:32,410
1390
+ ุนู„ู‰ ุงู„.. ูŠุนู†ูŠ ุนุจุฃุช ุฒูŠู‘ูƒุŒ ุฏุฎู„ ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ tankุŒ ุฅุฐุง
1391
+
1392
+ 395
1393
+ 00:36:32,410 --> 00:36:36,810
1394
+ ุงู„ diverter ุจู†ุนู…ู„ manuallyุŒ ุฃู†ุง ุจุนู…ู„ manual ูˆ
1395
+
1396
+ 396
1397
+ 00:36:36,810 --> 00:36:41,030
1398
+ ุจุถุบุท ุนู„ู‰ ุงู„ stopwatchุŒ ู‡ู„ ุฃู†ุง ุงู„ calibration stopwatch
1399
+
1400
+ 397
1401
+ 00:36:41,030 --> 00:36:45,490
1402
+ ูŠุนู†ูŠ ุฌุงูŠุฉ ู…ุฆุฉ ููŠ ุงู„ู…ุฆุฉ ู…ุน ูุชุญุฉ ุงู„ diverterุŸ ู‡ู„ ูุชุญุฉ
1403
+
1404
+ 398
1405
+ 00:36:45,490 --> 00:36:47,930
1406
+ ุงู„ diverter ู…ุฑุฉ ุจูุชุญู‡ุง ุจุทูŠุก ูˆู…ุฑุฉ ุจูุชุญู‡ุง ุณุฑูŠุน
1407
+
1408
+ 399
1409
+ 00:36:47,930 --> 00:36:53,020
1410
+ ุจุชุฃุซุฑ ูˆู„ุง ุจุชุฃุซุฑุดุŸ ุจุชุฃุซุฑุŒ ุทูŠุจ ู‡ุฐู‡ ู„ู„.. ู„ู„ูุชุญุŒ ุทุจ
1411
+
1412
+ 400
1413
+ 00:36:53,020 --> 00:36:57,360
1414
+ ุจุงู„ุฅุบู„ุงู‚ุŒ ุฃู†ุง ุจ.. ุจ.. ุจุณูƒุฑ ูˆุจุนู…ู„ stopุŒ ู‡ู„ ุณูƒุฑุช ููŠ
1415
+
1416
+ 401
1417
+ 00:36:57,360 --> 00:37:02,200
1418
+ ุงู„ุจุฏุงูŠุฉุŸ ููŠ ุงู„ู†ู‡ุงูŠุฉุŸ ููŠ ุงู„ู†ุตูุŸ ูููŠ ุจุฑุถู‡ ููŠ error
1419
+
1420
+ 402
1421
+ 00:37:02,200 --> 00:37:07,980
1422
+ ุทุจุนุง ู‡ุฐู‡ ุงู„ู†ุชูŠุฌุฉ ู…ุฎุชู„ูุฉ ู…ู† ู‚ุฑุงุกุฉ ู„ู‚ุฑุงุกุฉุŒ ู…ุนู†ุงุชู‡ ุฅุฐุง
1423
+
1424
+ 403
1425
+ 00:37:07,980 --> 00:37:14,220
1426
+ ุฃุนุชุจุฑู‡ precision ุฃูˆ.. precision ุฃูˆ random ุฃูˆ ู„ุง
1427
+
1428
+ 404
1429
+ 00:37:14,220 --> 00:37:18,500
1430
+ bias errorุŒ randomุŒ ู‡ุฐุง random ู„ุฃู†ู‡ ุจุชุฎุชู„ู ู…ู† ู‚ุฑุงุก
1431
+
1432
+ 405
1433
+ 00:37:18,500 --> 00:3
1434
+
1435
+ 445
1436
+ 00:40:46,780 --> 00:40:50,560
1437
+ density is used ุฅุฐุง ุฃุฎุฐุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู„ู„ density
1438
+
1439
+ 446
1440
+ 00:40:50,560 --> 00:40:55,060
1441
+ ูˆุจุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ handbook ูˆุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ู…ู† ุชุฌุฑุจุฉ ู„ุชุฌุฑุจุฉ
1442
+
1443
+ 447
1444
+ 00:40:55,060 --> 00:40:59,900
1445
+ ุจุชุทูŠุฑ ุงู„ูŠูˆู… ุชุณุนุฉ ูˆุนุดุฑูŠู†ุŒ ุจูƒุฑุฉ ุซู„ุงุซูŠู†ุŒ ุจุนุฏูŠู† ุณุจุนุฉ
1446
+
1447
+ 448
1448
+ 00:40:59,900 --> 00:41:04,180
1449
+ ูˆุนุดุฑูŠู†ุŒ ุซู„ุงุซุŒ ุซู„ุงุซูŠู†. ููŠ ุนู†ุฏูŠ ุงูŠุด variation ูˆุงู„ู€
1450
+
1451
+ 449
1452
+ 00:41:04,180 --> 00:41:09,480
1453
+ variation ู‡ุฐู‡ ุงูŠุด random ุฅุฐุง
1454
+
1455
+ 450
1456
+ 00:41:09,480 --> 00:41:12,940
1457
+ ุงุณุชุฎุฏุงู… ุงู„ุฌู‡ุงุฒุŒ ุงุณุชุฎุฏุงู… thermal couple ุนุดุงู† ุขุฎุฐ
1458
+
1459
+ 451
1460
+ 00:41:12,940 --> 00:41:16,680
1461
+ ุฃู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ุตุญูŠุญุฉุŒ ูˆุจุนุฏ ู…ุง ุขุฎุฐ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
1462
+
1463
+ 452
1464
+ 00:41:16,680 --> 00:41:21,120
1465
+ ุงู„ุตุญูŠุญุฉุŒ ุจุฑูˆุญ ุฃุทู„ุน ู‚ูŠู…ุฉ ุงู„ู€ density ุงู„ุตุญูŠุญุฉ. ุทุจ ู…ุง ู‡ูˆ ุจุฑุถู‡
1466
+
1467
+ 453
1468
+ 00:41:21,120 --> 00:41:25,200
1469
+ ุงู„ุฌู‡ุงุฒ ุงู„ู€ thermocouple ููŠ precision error ุฃูˆ ููŠ
1470
+
1471
+ 454
1472
+ 00:41:25,200 --> 00:41:29,740
1473
+ random errorุŒ ุตุญุŸ ูููŠ ูƒู„ ุงู„ุฃุญูˆุงู„ุŒ ุณูˆุงุก ุฃุฎุฐุชู‡ุง ู…ู†
1474
+
1475
+ 455
1476
+ 00:41:29,740 --> 00:41:32,720
1477
+ handbook ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ูˆููŠ variation ููŠ ุงู„ู€
1478
+
1479
+ 456
1480
+ 00:41:32,720 --> 00:41:35,400
1481
+ temperature ุนู„ู‰ ุฃุฑุถ ุงู„ูˆุงู‚ุนุŒ ูููŠู‡ุง random error
1482
+
1483
+ 457
1484
+ 00:41:36,180 --> 00:41:39,600
1485
+ ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ: ู„ูˆ ูƒู„ ุชุฌุฑุจุฉ ูƒู†ุช ุฃุณุชุฎุฏู… ุชุฑู…ูƒ ุฃูˆ ุฃู‚ูŠุณ
1486
+
1487
+ 458
1488
+ 00:41:39,600 --> 00:41:44,100
1489
+ ุงู„ุญุฑุงุฑุฉ ุจู†ุงุกู‹ ุนู„ู‰ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ ุฃุทู„ุน ูƒุซุงูุฉ ู…ู† ุงู„ู€
1490
+
1491
+ 459
1492
+ 00:41:44,100 --> 00:41:46,180
1493
+ handbookุŒ ุจุฑุถู‡ ููŠ ุนู†ุฏูŠ precision error ููŠ ูƒู„ ุงู„ุฃุญูˆุงู„
1494
+
1495
+ 460
1496
+ 00:41:46,180 --> 00:41:52,640
1497
+ ููŠ ุนู†ุฏูŠ precision ุฃูˆ random error ุฅุฐุง ูƒุงู† ุงู„ู€
1498
+
1499
+ 461
1500
+ 00:41:52,640 --> 00:41:54,760
1501
+ standard deviation ุงู„ุญุฑุงุฑุฉ ููŠ ุงู„ู…ูŠุงุฉ ููŠ ุฏุฑุฌุฉ
1502
+
1503
+ 462
1504
+ 00:41:54,760 --> 00:42:01,160
1505
+ ุงู„ุญุฑุงุฑุฉ plus or minus one degreeุŒ ูˆุจุงู„ุชุงู„ูŠ ุจูƒูˆู† ุงู„ู€
1506
+
1507
+ 463
1508
+ 00:42:01,160 --> 00:42:05,760
1509
+ variation ููŠ ุงู„ู€ density ุฃู‚ู„ ู…ู† ุณุจุนุฉ ู…ู† ุนุดุฑุฉุŒ ุฅุฐุง ุฃุฎุฐุช ุงู„ู€
1510
+
1511
+ 464
1512
+ 00:42:05,760 --> 00:42:08,820
1513
+ rangeุŒ ุฃู†ุช ู‡ู†ุง ุนู†ุฏูƒ ุงู„ู€ range ุจูŠู† ุตูุฑ ู„ู€ ุซู…ุงู†ูŠุฉ ูˆุซู„ุงุซูŠู†
1514
+
1515
+ 465
1516
+ 00:42:08,820 --> 00:42:18,200
1517
+ ุงู„ู„ูŠ ู‡ูŠ ูŠุนู†ูŠุŒ ุญูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง point ูˆุงุญุฏ ุฃูˆ point
1518
+
1519
+ 466
1520
+ 00:42:18,200 --> 00:42:25,760
1521
+ ุณุจุนุฉุŒ point ุณุจุนุฉ ุนู„ู‰ ุซู…ุงู†ูŠุฉ ูˆุซู„ุงุซูŠู†. ุงุญุณุจูˆู„ูŠ ุฃู†ุง ุจุงู„ู„ู‡
1522
+
1523
+ 467
1524
+ 00:42:25,760 --> 00:42:29,020
1525
+ point
1526
+
1527
+ 468
1528
+ 00:42:29,020 --> 00:42:30,380
1529
+ ุณุจุนุฉ ุนู„ู‰ point ุซู…ุงู†ูŠุฉ ูˆุซู„ุงุซูŠู†
1530
+
1531
+ 469
1532
+ 00:42:41,760 --> 00:42:45,620
1533
+ ุชู‚ูŠู… point O ุนู„ู‰ ุงู„ุทูŠุŒ ูˆ ุชุฑูˆุญ ููŠ point O ูˆุงุญุฏ ููŠ
1534
+
1535
+ 470
1536
+ 00:42:45,620 --> 00:42:46,660
1537
+ point ูˆุงุญุฏ ุงุนุชูŠุงุฏูŠุฉ
1538
+
1539
+ 471
1540
+ 00:42:52,720 --> 00:42:56,720
1541
+ .0018 ูŠุนู†ูŠ .002 ุชู‚ุฑูŠุจุงู‹ุŒ ูุจูŠุทู„ุน ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1542
+
1543
+ 472
1544
+ 00:42:56,720 --> 00:43:01,020
1545
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1546
+
1547
+ 473
1548
+ 00:43:01,020 --> 00:43:01,200
1549
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1550
+
1551
+ 474
1552
+ 00:43:01,200 --> 00:43:01,320
1553
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1554
+
1555
+ 475
1556
+ 00:43:01,320 --> 00:43:01,500
1557
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1558
+
1559
+ 476
1560
+ 00:43:01,500 --> 00:43:01,960
1561
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1562
+
1563
+ 477
1564
+ 00:43:01,960 --> 00:43:04,240
1565
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1566
+
1567
+ 478
1568
+ 00:43:04,240 --> 00:43:11,560
1569
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ..
1570
+
1571
+ 479
1572
+ 00:43:11,560 --> 00:43:14,680
1573
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1574
+
1575
+ 480
1576
+ 00:43:14,680 --> 00:43:14,840
1577
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1578
+
1579
+ 481
1580
+ 00:43:14,840 --> 00:43:15,380
1581
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1582
+
1583
+ 482
1584
+ 00:43:15,380 --> 00:43:17,160
1585
+ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1586
+
1587
+ 483
1588
+ 00:43:17,160 --> 00:43:17,300
1589
+ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€
1590
+
1591
+ 484
1592
+ 00:43:17,300 --> 00:43:19,240
1593
+ ..
1594
+
1595
+ 485
1596
+ 00:43:24,550 --> 00:43:30,050
1597
+ ุทูŠุจุŒ ุงู„ู€ timeุŒ ู„ุณู‡ ู…ุง ุฎู„ุตู†ุงุดุŒ ุงุญู†ุง ุงู„ู€ bias error in
1598
+
1599
+ 486
1600
+ 00:43:30,050 --> 00:43:35,230
1601
+ temperature ุงู„ุขู†ุŒ ุงู„ู€ bias ุงุญู†ุง ุญูƒูŠู†ุง ุฃู† ุฃู†ุช ู…ู…ูƒู†
1602
+
1603
+ 487
1604
+ 00:43:35,230 --> 00:43:40,950
1605
+ ุชุนู…ู„ shift ุซุงุจุชุŒ shift ุซุงุจุช ุณูˆุงุก ุดู…ุงู„ ุฃูˆ ูŠู…ูŠู†ุŒ ุงู„ู€
1606
+
1607
+ 488
1608
+ 00:43:40,950 --> 00:43:47,730
1609
+ bias error in temperature reading may be higher ู„ู…ุง
1610
+
1611
+ 489
1612
+ 00:43:47,730 --> 00:43:51,910
1613
+ ุจุขุฎุฐ ู‚ุฑุงุกุฉ ุนุงุฏูŠุฉุŒ ู…ุด ู‡ุฃุฌูŠุจ ุนุดุงู† ุฃู‚ูŠุณ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ู…ูŠุงุฉ
1614
+
1615
+ 490
1616
+ 00:43:51,910 --> 00:43:55,830
1617
+ ุงู„ุฌู‡ุงุฒ ูŠุนุทูŠู†ูŠ plus or minus point ูˆุงุญุฏุŒ ู…ู…ูƒู† ุฃุฎู„ูŠ
1618
+
1619
+ 491
1620
+ 00:43:55,830 --> 00:44:00,990
1621
+ plus or minus ูˆุงุญุฏ degreesุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ูƒุงููŠุฉ ู„ู„ุชุฌุงุฑุจ
1622
+
1623
+ 492
1624
+ 00:44:00,990 --> 00:44:07,730
1625
+ ุงู„ุงุนุชุงุฏูŠุฉ. ูุงู„ู€ bias ู…ู…ูƒู† ูŠูƒูˆู† plus or minus one
1626
+
1627
+ 493
1628
+ 00:44:07,730 --> 00:44:12,690
1629
+ degreeุŒ ุงู„ู€ bias ู…ู…ูƒู† ูŠูƒูˆู† plus or minus degree
1630
+
1631
+ 494
1632
+ 00:44:14,840 --> 00:44:18,960
1633
+ ูˆุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† ุงู„ู€ bias uncertainty ุชู‚ุฑูŠุจุงู‹ ุนุดุฑุฉ
1634
+
1635
+ 495
1636
+ 00:44:18,960 --> 00:44:23,240
1637
+ ุฃุถุนุงู ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุนุดุฑุฉ ุฃุถุนุงู ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ random ุฃูˆ ุงู„ู€
1638
+
1639
+ 496
1640
+ 00:44:23,240 --> 00:44:26,600
1641
+ precision uncertainty ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ. ูƒุงู† ุฏุฑุฌุฉ
1642
+
1643
+ 497
1644
+ 00:44:26,600 --> 00:44:31,420
1645
+ ุงู„ุญุฑุงุฑุฉ ูƒู…ุŸ plus or minus point oneุŒ ูŠุนู†ูŠ ุฃู†ุฏูŠ plus
1646
+
1647
+ 498
1648
+ 00:44:31,420 --> 00:44:38,740
1649
+ or minus ุงูŠุดุŸ oneุŒ ู…ุนู†ุงุชู‡ ููŠ ุงู„ู€ density ู‡ุชูƒูˆู† ุงู„ู€
1650
+
1651
+ 499
1652
+ 00:44:38,740 --> 00:44:41,540
1653
+ bias uncertainty ููŠ ุงู„ู€ density due to bias
1654
+
1655
+ 500
1656
+ 00:44:41,540 --> 00:44:45,160
1657
+ uncertainty ููŠ ุงู„ุญุฑุงุฑุฉ ู‡ุชูƒูˆู† ุนุดุฑุฉ ุฃุถุนุงู ู„ูˆ ูƒุงู† point
1658
+
1659
+ 501
1660
+ 00:44:45,160 --> 00:44:54,500
1661
+ o ุงุชู†ูŠู†ุŒ ู‡ุชูƒูˆู† point o ุงุชู†ูŠู† ููŠ ุงู„ู…ุงุฆุฉ. ุทูŠุจุŒ
1662
+
1663
+ 502
1664
+ 00:44:54,500 --> 00:44:57,520
1665
+ if we do not bother to measure ุงู„ุชู…ุฑุดุŒ ุฅุฐุง ูƒู†ุง ู…ุง
1666
+
1667
+ 503
1668
+ 00:44:57,520 --> 00:45:02,860
1669
+ ู…ุนู†ูŠูŠู† ุจู†ุง ู†ู‚ูŠุณ ุงู„ุญุงู„ุฉ ูˆู†ู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู†ุญุถุฑู‡ุง
1670
+
1671
+ 504
1672
+ 00:45:02,860 --> 00:45:06,120
1673
+ ุงู„ู€ bias uncertainty ุฃุนู„ู‰ ู…ู† ุงู„ู€ precision
1674
+
1675
+ 505
1676
+ 00:45:06,120 --> 00:45:11,760
1677
+ uncertainty ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ we may be satisfied
1678
+
1679
+ 506
1680
+ 00:45:11,760 --> 00:45:17,940
1681
+ with up to two percent bias uncertaintyุŒ ู„ูˆ ุงูุชุฑุถู†ุง
1682
+
1683
+ 507
1684
+ 00:45:17,940 --> 00:45:20,820
1685
+ ุฃู† ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุบุฑูุฉุŒ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ู…ุนูŠุงุฑูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
1686
+
1687
+ 508
1688
+ 00:45:20,820 --> 00:45:24,120
1689
+ ุนุดุฑูˆู† ุฏุฑุฌุฉุŒ ู…ู…ูƒู† ุชูƒูˆู† ุซู„ุงุซูŠู†ุŒ ู‡ูŠ ุจุณ ุฃู†ุง ุฃุนุชู…ุฏ ููŠ
1690
+
1691
+ 509
1692
+ 00:45:24,120 --> 00:45:28,300
1693
+ ู‚ุฑุงุกุงุชูŠ ู…ู† ุงู„ู€ handbook ุนู„ู‰ ุงู„ู€ standard room
1694
+
1695
+ 510
1696
+ 00:45:28,300 --> 00:45:30,860
1697
+ temperature ุงู„ู„ูŠ ู‡ูŠ ุนุดุฑูˆู† ุฏุฑุฌุฉ
1698
+
1699
+ 511
1700
+ 00:45:34,320 --> 00:45:38,680
1701
+ ุทูŠุจุŒ ูŠุนู†ูŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ุŒ ู…ุง ู†ุฑูƒุฒ ุนู„ู‰ ุงู„ุฒุงูˆูŠุฉุŒ ุงุญู†ุง ุญูƒูŠู†ุง
1702
+
1703
+ 512
1704
+ 00:45:38,680 --> 00:45:46,640
1705
+ ุนู† ุงู„ู€ .. ุงู„ู€ WุŒ ุญูƒูŠู†ุง ุนู† ุงู„ู€ DุŒ ุญูƒูŠู†ุง ุนู† ุงู„ู€ TุŒ ุญูƒูŠู†ุง ุนู†
1706
+
1707
+ 513
1708
+ 00:45:46,640 --> 00:45:50,580
1709
+ ุงู„ู€ ฯุŒ ูˆุฏู‡ ุงู„ู€ pressure dropุŒ delta P
1710
+
1711
+ 514
1712
+ 00:45:54,720 --> 00:45:57,700
1713
+ ุงู„ู€ value pressure drop is measured using a
1714
+
1715
+ 515
1716
+ 00:45:57,700 --> 00:46:02,020
1717
+ manometerุŒ ุงู„ู…ุงู†ูˆู…ูŠุชุฑุŒ ู‡ูˆ ุฌู‡ุงุฒ ู…ุงู†ูˆู…ูŠุชุฑ ู…ุฏุฑุฌ ุจูŠูƒูˆู†
1718
+
1719
+ 516
1720
+ 00:46:02,020 --> 00:46:06,960
1721
+ ููŠู‡ liquidุŒ ู‡ู†ุง ููŠู‡ ูุชุญุฉ ุงู„ู€ pressure ุงู„ู„ูŠ ุจูŠูƒูˆู†
1722
+
1723
+ 517
1724
+ 00:46:06,960 --> 00:46:09,940
1725
+ ู‡ู†ุง ุงู„ู€ pressureุŒ ูˆุงุถุญ ู‡ู†ุง ููŠ ุงู„ู…ุฏุฎู„ ุงู„ุญุงู„ูŠุŒ ู‡ุฐู‡ ู„ุฃู†
1726
+
1727
+ 518
1728
+ 00:46:09,940 --> 00:46:11,880
1729
+ ุงู„ู„ูŠ ุฃู†ุชู… ุดุงูŠููŠู†ุŒ ุงู„ู€ pressure ู‡ู†ุง ุฃุนู„ู‰ ู…ู† ู‡ู†ุง
1730
+
1731
+ 519
1732
+ 00:46:11,880 --> 00:46:16,080
1733
+ ูุจูŠุถุบุทุŒ ูุจูŠุถูุน ุงู„ู€ fluidุŒ ู‡ูˆ ุจูŠู‚ูŠุณ ุงู„ูุฑู‚ ุจูŠู†
1734
+
1735
+ 520
1736
+ 00:46:16,080 --> 00:46:20,430
1737
+ ุงู„ู‚ุฑุงุกุชูŠู†. ู„ุงุญุธูˆุง ููŠ ุนู†ุฏูƒู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู„ุงุตู‚ุŒ ุงู„ุชู„ุงุตู‚
1738
+
1739
+ 521
1740
+ 00:46:20,430 --> 00:46:27,070
1741
+ ุจูŠู† ุงู„ู€ fluid ูˆุงู„ุฒุฌุงุฌุŒ ูุจุชุนุทูŠู†ุง ู‡ุฐู‡ ุฎู„ู„ ููŠ ุงู„ู€ ..
1742
+
1743
+ 522
1744
+ 00:46:27,070 --> 00:46:29,550
1745
+ ูŠุนู†ูŠ ุจูŠู‚ุฑุฃ ู‚ุฑุงุกุชูŠู†ุŒ ูˆู‚ุฑุงุกุชูŠู†ุŒ ูˆุจูŠุทุฑุญูˆุง ู…ู† ุจุนุถุŒ ู‡ูˆ ููŠ
1746
+
1747
+ 523
1748
+ 00:46:29,550 --> 00:46:33,430
1749
+ ุงู„ุขุฎุฑุŒ ูู€
1750
+
1751
+ 524
1752
+ 00:46:33,430 --> 00:46:35,710
1753
+ ุงู„ู€ dominant uncertainty ููŠ ุงู„ู€ reading difference
1754
+
1755
+ 525
1756
+ 00:46:35,710 --> 00:46:40,230
1757
+ ุฃู† ุฃู†ุง ุฃู‚ุฑุฃ ุงู„ู€ difference ู‡ุฐุงุŒ ู‡ูŠ ุงู„ุนู†ุตุฑ ุงู„ุฑุฆูŠุณูŠ ููŠ
1758
+
1759
+ 526
1760
+ 00:46:40,230 --> 00:46:46,010
1761
+ ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† ู‡ุฐู‡
1762
+
1763
+ 527
1764
+ 00:46:50,680 --> 00:46:57,660
1765
+ ู‡ุชูƒูˆู† precision ุฃูˆ random uncertaintyุŒ ุงู„ู€
1766
+
1767
+ 528
1768
+ 00:46:57,660 --> 00:47:00,660
1769
+ precision .. this uncertainty has relatively
1770
+
1771
+ 529
1772
+ 00:47:00,660 --> 00:47:06,700
1773
+ constant sizeุŒ ุฏุงุฆู…ุงู‹ ู„ุงุญุธูˆุง ุณูˆุงุก ูƒุงู†ุช ู‡ุฐู‡ ูƒุงู†ุช ู‡ู†ุง
1774
+
1775
+ 530
1776
+ 00:47:06,700 --> 00:47:12,380
1777
+ ุฃูˆ ู‡ู†ุงุŒ ุชู‚ุฑูŠุจุงู‹ ุจุชุนุทูŠ ู†ูุณ ุงู„ุฎุทุฃุŒ ุชู‚ุฑูŠุจุงู‹ ุฏุงุฆู…ุงู‹ ุจุชุนุทูŠ
1778
+
1779
+ 531
1780
+ 00:47:12,380 --> 00:47:14,720
1781
+ ู†ูุณ ุงู„ุฎุทุฃุŒ ุงู‡
1782
+
1783
+ 532
1784
+ 00:47:22,150 --> 00:47:25,710
1785
+ ุฃูˆ ุจุงู„ุชุงู„ูŠุŒ ุฅุฐุง ุจุฏูŠ ุฃุณุชุฎุฏู… percentage uncertainty
1786
+
1787
+ 533
1788
+ 00:47:25,710 --> 00:47:32,090
1789
+ ุจุชูƒูˆู† ุฃุญูŠุงู†ุงู‹ ู…ุถู„ู„ุฉุŒ ู„ูŠุดุŸ what if ุฅุฐุง ูƒุงู† ุงู„ู€
1790
+
1791
+ 534
1792
+ 00:47:32,090 --> 00:47:37,130
1793
+ difference ูƒุจูŠุฑ ูƒุชูŠุฑุŒ ูˆุงุญู†ุง ุญูƒูŠู†ุง ู‡ุฐุง ุชู‚ุฑูŠุจุงู‹ ุซุงุจุชุฉ
1794
+
1795
+ 535
1796
+ 00:47:37,130 --> 00:47:43,130
1797
+ ู…ุนู†ุงุชู‡ ุนู„ู‰ delta P ูƒุจูŠุฑ ุจุชูƒูˆู† ุงู„ู€ precision ู‚ู„ูŠู„ุฉ
1798
+
1799
+ 536
1800
+ 00:47:43,130 --> 00:47:47,190
1801
+ ุนู„ู‰ delta P ุฅุฐุง ู‡ูŠ ุซุงุจุชุฉ ุตุบูŠุฑุฉ ุจุชูƒูˆู† ุงู„ู€ precision
1802
+
1803
+ 537
1804
+ 00:47:47,190 --> 00:47:52,550
1805
+ uncertainty ุงูŠุดุŸ ูƒุจูŠุฑุฉุŒ ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง ููŠ ุงู„ุญู„ู‚ุฉ ุฏูŠ
1806
+
1807
+ 538
1808
+ 00:47:52,550 --> 00:47:56,550
1809
+ ู‡ุขุฎุฐ average valueุŒ average value ู„ู„ู€ percentage
1810
+
1811
+ 539
1812
+ 00:47:56,550 --> 00:48:02,790
1813
+ precision uncertaintyุŒ ูŠุนู†ูŠ to keep uncertainty
1814
+
1815
+ 540
1816
+ 00:48:02,790 --> 00:48:06,490
1817
+ analysis simpleุŒ ุนุดุงู† ุฃุจุณุท ุงู„ุฃู…ูˆุฑุŒ ู…ุง ุจุฏูŠุด ุฃุนู‚ุฏู‡ุงุŒ let
1818
+
1819
+ 541
1820
+ 00:48:06,490 --> 00:48:10,170
1821
+ us take a representative value ู‡ูŠ of plus or minus
1822
+
1823
+ 542
1824
+ 00:48:10,170 --> 00:48:15,110
1825
+ one percent for the standard deviation in the
1826
+
1827
+ 543
1828
+ 00:48:15,110 --> 00:48:15,370
1829
+ pressure
1830
+
1831
+ 544
1832
+ 00:48:19,160 --> 00:48:24,140
1833
+ ุงู„ู€ bias uncertainty ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุนู† ู‚ูŠู…ุฉ
1834
+
1835
+ 545
1836
+ 00:48:24,140 --> 00:48:28,640
1837
+ ุซุงุจุชุฉุŒ ุชู‚ุฑูŠุจุงู‹ negligibleุŒ ู„ุฃู†ู‡ ุฏุฑุฌุฉ ุงู„ุชู„ุงุตู‚ ู†ูุณ
1838
+
1839
+ 546
1840
+ 00:48:28,640 --> 00:48:35,000
1841
+ ุงู„ุงุดูŠุงุก ุชู‚ุฑูŠุจุงู‹ุŒ ูˆุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ู…ุด ู‡ุชูƒูˆู† ู‚ูŠู…ุฉ ู…ุนุชุจุฑุฉ
1842
+
1843
+ 547
1844
+ 00:48:35,000 --> 00:48:39,060
1845
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุงู„ู€ precision uncertaintyุŒ ู„ุฃู† ู…ู„ุฎุต
1846
+
1847
+ 548
1848
+ 00:48:39,060 --> 00:48:43,840
1849
+ ุงู„ู†ุชุงุฆุฌุŒ ุนู†ุฏูŠ ูƒุงู†ุŒ waitุŒ ุงู„ู‚ุทุฑ ุชุงุน ุงู„ู€ orifice ุนู†ุฏูŠ
1850
+
1851
+ 549
1852
+ 00:48:43,840 --> 00:48:48,160
1853
+ ุงู„ู€ time ุนู†ุฏูŠุŒ ุงู„ู€ densityุŒ delta PุŒ ููŠุŒ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ู€
1854
+
1855
+ 550
1856
+ 00:48:48,160 --> 00:48:50,900
1857
+ error ู…ุตุฏุฑูŠู†ุŒ ููŠ ุนู†ุฏูŠ bias uncertainty ุฃูˆ
1858
+
1859
+ 551
1860
+ 00:48:50,900 --> 00:48:54,280
1861
+ systematic uncertaintyุŒ ูˆููŠ ุนู†ุฏูŠ random ุฃูˆ
1862
+
1863
+ 552
1864
+ 00:48:54,280 --> 00:48:57,460
1865
+ precision uncertaintyุŒ ููŠ ูƒู„ ูˆุงุญุฏุฉ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ู€
1866
+
1867
+ 553
1868
+ 00:48:57,460 --> 00:49:03,320
1869
+ weightุŒ ุฅุฐุง ูุงูƒุฑูŠู†ุŒ ุงู„ู€ bias uncertainty ูˆุงุญุฏ ููŠ
1870
+
1871
+ 554
1872
+ 00:49:03,320 --> 00:49:09,240
1873
+ ุงู„ู…ุงูŠุฉุŒ ุงู„ู€ random ุงู„ู„ูŠ ู‡ูŠ point ูˆุงุญุฏ ููŠ ุงู„ู…ุงุฆุฉ
1874
+
1875
+ 555
1876
+ 00:49:10,540 --> 00:49:14,040
1877
+ ุงู„ู‚ุทุฑ ูƒุงู†ุช plus ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1878
+
1879
+ 556
1880
+ 00:49:14,040 --> 00:49:14,120
1881
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1882
+
1883
+ 557
1884
+ 00:49:14,120 --> 00:49:14,520
1885
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1886
+
1887
+ 558
1888
+ 00:49:14,520 --> 00:49:16,040
1889
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1890
+
1891
+ 559
1892
+ 00:49:16,040 --> 00:49:16,800
1893
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1894
+
1895
+ 560
1896
+ 00:49:16,800 --> 00:49:19,020
1897
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1898
+
1899
+ 561
1900
+ 00:49:19,020 --> 00:49:23,220
1901
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1902
+
1903
+ 562
1904
+ 00:49:23,220 --> 00:49:23,240
1905
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1906
+
1907
+ 563
1908
+ 00:49:23,240 --> 00:49:23,600
1909
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1910
+
1911
+ 564
1912
+ 00:49:23,600 --> 00:49:25,040
1913
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1914
+
1915
+ 565
1916
+ 00:49:25,040 --> 00:49:25,520
1917
+ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€ ุงู„ู€
1918
+
1919
+ 566
1920
+ 00:49:28,630 --> 00:49:33,810
1921
+ ู…ุนุธู… ุงู„ู€ raw ุงูŠุด ุญูƒูŠู†ุงุŸ ู…ุนุธู… .. ู…ุนุธู… precision ู…ุด
1922
+
1923
+ 567
1924
+ 00:49:33,810 --> 00:49:39,630
1925
+ biasุŒ zero biasุŒ ูˆุงู„ู€ precision ูˆุงุญุฏ ููŠ ุงู„ู…ุงุฆุฉุŒ ุงู„ู€
1926
+
1927
+ 568
1928
+ 00:49:39,630 --> 00:49:43,910
1929
+ density ูƒุงู†ุช ุงู„ู€ raw ุญุณุจ ู‡ูˆุŒ ุฃุนุทูŠู†ูŠ ู‡ู†ุง ุงู„ู€ note
1930
+
1931
+ 569
1932
+ 00:49:43,910 --> 00:49:48,350
1933
+ ุจุชูƒูˆู†
1934
+
1935
+ 570
1936
+ 00:49:48,350 --> 00:49:51,690
1937
+ ู‡ุฐู‡ ุฅุฐุง .. ุฅุฐุง ุงุณุชุฎุฏู…ุช thermocableุŒ if .. if I use
1938
+
1939
+ 571
1940
+ 00:49:51,690 --> 00:49:56,510
1941
+ a thermocable to measure temperatureุŒ ุงู„ู€ bias ุจูŠู‚ู„
1942
+
1943
+ 572
1944
+ 00:49:57,490 --> 00:50:00,790
1945
+ ุฃู†ุง ุฎู„ุตุช ู…ุนุฑูุฉ ุงู„ุญูˆุงุฏุซ ุจุงู„ุถุจุทุŒ ูุงู„ู€ bias ุจูŠู‚ู„ุŒ
1946
+
1947
+ 573
1948
+ 00:50:00,790 --> 00:50:05,650
1949
+ ู‡ุฐู‡ point twoุŒ ุฅุฐุง ุงุณุชุฎุฏู…ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ handbook ู…ุด
1950
+
1951
+ 574
1952
+ 00:50:05,650 --> 00:50:10,970
1953
+ ุจุฏูˆู† ู‚ูŠุงุณุŒ ูˆุงุณุชุฎุฏู…ุช ุงู„ู„ูŠ ู‡ูŠ room temperatureุŒ ุนุดุฑูˆู†
1954
+
1955
+ 575
1956
+ 00:50:10,970 --> 00:50:15,930
1957
+ ุฏุฑุฌุฉุŒ ุงู„ู€ precision answer to say ุฃูˆ standard
1958
+
1959
+ 576
1960
+ 00:50:15,930 --> 00:50:21,460
1961
+ deviation ุงู„ู„ูŠ ู‡ูŠ point 002 percentุŒ ุฃุฎุฑ ุดูŠุก ุงู„ู€
1962
+
1963
+ 577
1964
+ 00:50:21,460 --> 00:50:25,440
1965
+ pressureุŒ delta PุŒ ุญูƒูŠู†ุง ุงู„ู€ bias point one percentุŒ ูˆ
1966
+
1967
+ 578
1968
+ 00:50:25,440 --> 00:50:31,780
1969
+ ุงู„ู€ standard deviation ูˆุงุญุฏ ููŠ ุงู„ู…ุงุฆุฉ. ุงู„ุขู†ุŒ ู‡ุงู† ู…ู„ุฎุต
1970
+
1971
+ 579
1972
+ 00:50:31,780 --> 00:50:37,600
1973
+ ุงู„ุชุฌุฑุจุฉุŒ ุงู„ุขู† ูƒูŠู ู‡ู†ุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ uncertainty ุจุบุถ
1974
+
1975
+ 580
1976
+ 00:50:37,600 --> 00:50:40,280
1977
+ ุงู„ู†ุธุฑุŒ ุงู„ู€ uncertainty ููŠู‡ ู†ูˆุนูŠู†ุŒ ููŠ bias uncertainty
1978
+
1979
+ 581
1980
+ 00:50:41,260 --> 00:50:44,560
1981
+ ูˆููŠ ุนู†ุฏูŠ random ุฃูˆ precision answerุŒ ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ
1982
+
1983
+ 582
1984
+ 00:50:44,560 --> 00:50:48,420
1985
+ ู†ุฑุฌุน ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ู‡ูŠ ู…ุนุงุฏู„ุฉ ุณุจุนุฉ ูˆุซู„ุงุซูŠู† ููŠ
1986
+
1987
+ 583
1988
+ 00:50:48,420 --> 00:50:55,900
1989
+ ุงู„ูƒุชุงุจุŒ ุงู„ู„ูŠ ู‡ูŠ ุฎู…ุณุฉ ูˆุซู„ุงุซูŠู†ุŒ ู…ุนุงุฏู„ุฉ ุฎู…ุณุฉ ูˆุซู„ุงุซูŠู† ู‡ุฐู‡
1990
+
1991
+ 584
1992
+ 00:50:55,900 --> 00:51:04,620
1993
+ ุฎู…ุณุฉ ูˆุซู„ุงุซูŠู†ุŒ ุทูŠุจ
1994
+
1995
+ 585
1996
+ 01:00:54,620 --> 01:01:09,740
1997
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ูŠ ุนู†ุฏูŠ some variableุŒ ุงู„ู€ variable
1998
+
1999
+ 586
2000
+ 01:01:09,740 --> 01:01:13,450
2001
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุนู†ุฏูŠ ุงูŠุดุŸ ุงู„ู€ dependent variable ุงูŠุด
2002
+
2003
+ 587
2004
+ 01:01:13,450 --> 01:01:23,970
2005
+ ู‡ูˆุŸ KุŒ it's a function of weight, d, rho, time,
2006
+
2007
+ 588
2008
+ 01:01:24,650 --> 01:01:32,490
2009
+ delta, PุŒ ุฎู…ุณุฉ variablesุŒ ู…ุนู†ุงุชู‡ ู†ูƒุชุจ ู…ุนุงุฏู„ุฉุŒ ุนู†ุฏูŠ U
2010
+
2011
+ 589
2012
+ 01:01:32,490 --> 01:01:36,830
2013
+ ุงู„ู€ uncertainty ุจุบุถ ุงู„ู†ุธุฑ ุนู†ู‡ุงุŒ bias ุฃูˆ
2014
+
2015
+ 590
2016
+ 01:01:44,490 --> 01:01:52,630
2017
+ ู„ู„ู€ YุŒ ุฃู†ุง Y ุณูˆุงุก ุฌุฒุฆูŠ ุงู„ุชุฑุจูŠุนูŠุŒ ุงู„ู‰ Dy by DX ูˆุงุญุฏ ููŠ
2018
+
2019
+ 591
2020
+ 01:01:52,630 --> 01:02:02,970
2021
+ U ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุนุŒ ุฒุงุฆุฏ Dy by DX ุงุชู†ูŠู† U ุงุชู†ูŠู† ู„ูƒู„
2022
+
2023
+ 592
2024
+ 01:02:02,970 --> 01:02:05,350
2025
+ ุชุฑุจูŠุนุŒ ุฒุงุฆุฏ
2026
+
2027
+ 593
2028
+ 01:02:07,640 --> 01:02:16,120
2029
+ dy by dxn ููŠ Un ู„ูƒู„ ุชุฑุจูŠุนุŒ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุณุงุณูŠุฉ
2030
+
2031
+ 594
2032
+ 01:02:16,120 --> 01:02:21,380
2033
+ ุงู„ุขู† ุงุญู†ุง ู„ุฏูŠู†ุง
2034
+
2035
+ 595
2036
+ 01:02:21,380 --> 01:02:26,080
2037
+ ู„ุฏูŠู†ุง
2038
+
2039
+ 596
2040
+ 01:02:26,080 --> 01:02:33,720
2041
+ ุงู„ู€ K ู‡ุฐู‡ุŒ ุงู„ู€ KุŒ ุงู„ู€ K ุจุงู„ุฃุณ
2042
+
2043
+ 597
2044
+ 01:02:33,720 --> 01:02:34,620
2045
+ ุฃุฑุจุนุฉ W
2046
+
2047
+ 598
2048
+ 01:02:38,460 --> 01:02:42,480
2049
+ ุนู„ู‰ ุจุงูŠ D
2050
+
2051
+ 599
2052
+ 01:02:42,480 --> 01:02:53,200
2053
+ ุชุฑุจูŠุน TุŒ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู† ุฑูˆุŒ Delta P
2054
+
2055
+ 600
2056
+ 01:02:53,200 --> 01:03:04,540
2057
+ ุฎู„ู‘ู†ุง ู†ูƒุชุจู‡ุง ุจุตูŠุบุฉ ุซุงู†ูŠุฉ: ุฃุฑุจุนุฉ W ุนู„ู‰ ุจุงูŠ D ุชุฑุจูŠุน T
2058
+
2059
+ 601
2060
+ 01:03:04,540 --> 01:03:08,140
2061
+ ุฃุฑุจุนุฉ
2062
+
2063
+ 602
2064
+ 01:03:10,620 --> 01:03:20,440
2065
+ ุฃุฑุจุนุฉ ุนู„ู‰ ุจุงูŠุŒ ููŠ ุจุงูŠุŒ ุฌุฐุฑ ุงุชู†ูŠู†ุŒ ุจุฏูŠ ุฃุนู…ู„ู‡ ุฒูŠ ู‡ูŠูƒุŒ ููŠ
2066
+
2067
+ 603
2068
+ 01:03:20,440 --> 01:03:35,860
2069
+ W ููŠ D ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู†ุŒ ููŠ T ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏุŒ ููŠ ุฑูˆ ุฃุณ ู†ุงู‚ุต
2070
+
2071
+ 604
2072
+ 01:03:35,860 --> 01:03:46,280
2073
+ ู†ุตุŒ Delta PุŒ ูˆุงู„ุณุงู„ุจ ู†ุต ู„ุฃู†
2074
+
2075
+ 605
2076
+ 01:03:46,280 --> 01:03:51,140
2077
+ ุจุฏูŠ ุฃุญุณุจ ุฏูŠ ูƒูŠ
2078
+
2079
+ 606
2080
+ 01:03:51,140 --> 01:04:01,640
2081
+ ุจุงูŠ ุฏูŠ ุฏุจู„ูŠูˆุŒ ู‡ุชูƒูˆู† ุฃุฑุจุนุฉ ุจุงูŠุŒ ุฃุฑุจุนุฉ ุนู„ู‰ ุจุงูŠ ุฌุฐุฑ
2082
+
2083
+ 607
2084
+ 01:04:04,860 --> 01:04:23,880
2085
+ 2D-2T-1R-0.5Delta V-0.5 ุฏูŠ ูƒูŠ ุจูŠ ุฏูŠ ุฏูŠ
2086
+
2087
+ 608
2088
+ 01:04:28,350 --> 01:04:35,750
2089
+ ู‡ุฐู‡ ุงู„ู…ุนุงุฑูุŒ ู†ุงู‚ุต ุงุชู†ูŠู†ุŒ ู†ุงู‚ุต ุซู…ุงู†ูŠุฉุŒ ู†ุงู‚ุต ุซู…ุงู†ูŠุฉ ุนู„ู‰
2090
+
2091
+ 609
2092
+ 01:04:35,750 --> 01:04:47,270
2093
+ ุจุงูŠ ุฌุฐุฑ ุงู„ุงุชู†ูŠู† W ุฃุณ ู†ุงู‚ุต ุซู„ุงุซุฉุŒ ููŠ T ุฃุณ ู†ุงู‚ุต
2094
+
2095
+ 610
2096
+ 01:04:47,270 --> 01:04:54,250
2097
+ ูˆุงุญุฏุŒ ุฑูˆ ุฃุณ ู†ุงู‚ุต ู†ุตุŒ Delta P ุณุงู„ุจ ู†ุต
2098
+
2099
+ 611
2100
+ 01:05:04,750 --> 01:05:17,850
2101
+ ุงู„ุซุงู„ุซุฉุŒ ุงู„ุฒู…ู† ุฏูŠ ูƒูŠ ุจูŠ ุฏูŠ ุชูŠุŒ ู‡ูŠ ุงู„ุฒู…ู† ู‡ุชูƒูˆู† minus
2102
+
2103
+ 612
2104
+ 01:05:17,850 --> 01:05:25,750
2105
+ ุฃุฑุจุนุฉ ุนู„ู‰ ุจุงูŠ ุฌุฐุฑ ุงุชู†ูŠู†
2106
+
2107
+ 613
2108
+ 01:05:29,230 --> 01:05:38,130
2109
+ D ุฃุณุงู„ุจ ุงุชู†ูŠู†ุŒ T ุฃุณุงู„ุจ ูˆุงุญุฏุŒ ุฑูˆ ุฃุณุงู„ุจ ู†ุตุŒ ุฏู„ุชุง
2110
+
2111
+ 614
2112
+ 01:05:38,130 --> 01:05:52,890
2113
+ P ุฃุณุงู„ุจ ู†ุตุŒ and DK by DT by D ุฑูˆ ุณุชูƒูˆู†
2114
+
2115
+ 615
2116
+ 01:05:52,890 --> 01:06:03,270
2117
+ ุณุงู„ุจ ู†ุตุŒ ูŠุนู†ูŠ ุณุชูƒูˆู† ุณุงู„ุจ ุงุชู†ูŠู† ุนู„ู‰ ุจุงูŠ ุฌุฐุฑ ุงู„ุงุชู†ูŠู† W
2118
+
2119
+ 616
2120
+ 01:06:03,270 --> 01:06:14,090
2121
+ D ุณุงู„ุจ ุงุชู†ูŠู†ุŒ T ุณุงู„ุจ ูˆุงุญุฏุŒ ุฑูˆ ุณุงู„ุจ ุซู„ุงุซุฉ ุนู„ู‰ ุงุชู†ูŠู†
2122
+
2123
+ 617
2124
+ 01:06:14,090 --> 01:06:2
2125
+
2126
+ 667
2127
+ 01:01:27,910 --> 01:01:28,250
2128
+ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2129
+
2130
+ 668
2131
+ 01:01:28,250 --> 01:01:35,670
2132
+ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2133
+
2134
+ 669
2135
+ 01:01:35,670 --> 01:01:37,750
2136
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2137
+
2138
+ 670
2139
+ 01:01:37,750 --> 01:01:37,790
2140
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2141
+
2142
+ 671
2143
+ 01:01:37,790 --> 01:01:45,730
2144
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2145
+
2146
+ 672
2147
+ 01:01:45,730 --> 01:01:51,630
2148
+ ูˆ
2149
+
2150
+ 673
2151
+ 01:01:51,630 --> 01:01:57,400
2152
+ ุจDensity Delta P ุนูˆุถ ุนู†ู‡ู… ู…ู† ุงู„ุฌุฏูˆู„ ุงู„ุณุงุจู‚ ููŠู‡ ุดูŠุก
2153
+
2154
+ 674
2155
+ 01:01:57,400 --> 01:02:01,520
2156
+ ุณูˆู ุชุทู„ุน ุงู„ bias uncertainty one point oh eight
2157
+
2158
+ 675
2159
+ 01:02:01,520 --> 01:02:07,260
2160
+ ุซู…ุงู†ูŠุฉ ุจุฏุฑุฌุฉ ุซู‚ุฉ ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ุฆุฉ ุทุจุนุงู‹ ู†ุญู†
2161
+
2162
+ 676
2163
+ 01:02:07,260 --> 01:02:11,060
2164
+ ู†ูุชุฑุถ ุฃู† ุฏุฑุฌุฉ ุงู„ุซู‚ุฉ ููŠ ูƒู„ ุงู„ู‚ูŠุงุณุงุช ู†ูุณ ุงู„ุดูŠุก ุทุจุนุงู‹
2165
+
2166
+ 677
2167
+ 01:02:11,060 --> 01:02:16,640
2168
+ ุนู…ู„ูŠุงู‹ ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠุก ุงู„
2169
+
2170
+ 678
2171
+ 01:02:16,640 --> 01:02:20,700
2172
+ precision ุฃูˆ ุงู„ random ุฃูˆ ู…ุง ุฃู‚ุฏุฑุด ุฃุญูƒูŠ ุงู„ standard
2173
+
2174
+ 679
2175
+ 01:02:20,700 --> 01:02:21,240
2176
+ deviation
2177
+
2178
+ 680
2179
+ 01:02:24,360 --> 01:02:27,600
2180
+ ุงู„ุขู† ุงู„ uncertainty ุณูˆู ุชุดูˆู ูƒูŠู ู†ุญุณุจ ู„ุฃู† ุนู†ุฏูŠ ู‡ุฐู‡
2181
+
2182
+ 681
2183
+ 01:02:27,600 --> 01:02:31,180
2184
+ single reading ุฃูˆู„ ุดูŠุก ุณูˆู ุชุญุณุจ ุงู„ standard deviation
2185
+
2186
+ 682
2187
+ 01:02:31,180 --> 01:02:35,640
2188
+ of K ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ุจุฏู„ ู…ุง ู‡ูŠ
2189
+
2190
+ 683
2191
+ 01:02:35,640 --> 01:02:40,120
2192
+ uncertainty standard deviation ุฃุนูˆุฏ ู…ู† ุงู„ table
2193
+
2194
+ 684
2195
+ 01:02:40,120 --> 01:02:43,320
2196
+ ุฃู†ุง ู…ู† ุงู„ table ุฌุจุช ุงู„ู€ ุงู„ู„ูŠ ุฌุจุช ุงู„ู„ูŠ ู‡ูˆ ุงู„
2197
+
2198
+ 685
2199
+ 01:02:43,320 --> 01:02:47,920
2200
+ standard deviation ุฃุนูˆุฏ ุนู† ุงู„ู‚ูŠู… ู‡ุฐู‡ ุนู„ู‰ ุฃู‚ุตู‰
2201
+
2202
+ 686
2203
+ 01:02:47,920 --> 01:02:52,660
2204
+ ุงู„ูŠู…ูŠู† ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุฃุญุณุจ ุงู„ standard deviation
2205
+
2206
+ 687
2207
+ 01:02:52,660 --> 01:02:56,520
2208
+ ููŠ ุงู„ K ุจุนุฏ ู…ุง ุญุณุจุช ุงู„ standard deviation ููŠ ุงู„ K
2209
+
2210
+ 688
2211
+ 01:02:56,520 --> 01:03:01,900
2212
+ ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ู„ุฃู†ู‡ ุนู†ุฏูŠ single sample ุฃุญุณุจ ุงู„
2213
+
2214
+ 689
2215
+ 01:03:01,900 --> 01:03:05,520
2216
+ uncertainty ุงู„ precision answer ููŠ ุงู„ K ุงู„ู„ูŠ ู‡ูŠ PK
2217
+
2218
+ 690
2219
+ 01:03:05,520 --> 01:03:13,640
2220
+ PK ุนู„ู‰ K ุจูุณู’ุชูŽูˆู‰ ูˆุงุญุฏ ูุงุตู„ุฉ ุชุณุนุฉ ุณูŠุฌู…ุง K ุนู„ู‰ K ูˆุงุญุฏ
2221
+
2222
+ 691
2223
+ 01:03:13,640 --> 01:03:17,500
2224
+ ูุงุตู„ุฉ ุชุณุนุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุฃุญูƒูŠ ุนู† ุฏุฑุฌุฉ ุซู‚ุฉ ุฎู…ุณุฉ ูˆุชุณุนูŠู†
2225
+
2226
+ 692
2227
+ 01:03:17,500 --> 01:03:21,980
2228
+ ููŠ ุงู„ู…ุฆุฉ ุงู„ู„ูŠ ู‡ูŠ ุชู‚ุฑูŠุจุงู‹ plus or minus two sigma
2229
+
2230
+ 693
2231
+ 01:03:21,980 --> 01:03:26,780
2232
+ ุชู‚ุฑูŠุจุงู‹ ู‚ุฏุฑ one point ุณุชุฉ ุณุชุฉ ููŠ ุงู„ standard
2233
+
2234
+ 694
2235
+ 01:03:26,780 --> 01:03:31,260
2236
+ deviation ููŠ ุงู„ precision ุชุนุทูŠู†ูŠ ุฅูŠุด ุงู„ู„ูŠ ู‡ูŠ two
2237
+
2238
+ 695
2239
+ 01:03:31,260 --> 01:03:35,060
2240
+ point two ุงู„ู„ูŠ ู‡ูŠ ุงู„ precision uncertainty ุจุนุฏู‡ุง
2241
+
2242
+ 696
2243
+ 01:03:35,060 --> 01:03:38,960
2244
+ ุฃุญุณุจ ุงู„ total uncertainty ุงู„ู„ูŠ ู‡ูŠ ุฌุฒุก ุงู„ุชุฑุจูŠุน ู„ู„
2245
+
2246
+ 697
2247
+ 01:03:38,960 --> 01:03:42,200
2248
+ bias uncertainty ุงู„ุชุฑุจูŠุน ุฒุงุฆุฏ ุงู„ precision
2249
+
2250
+ 698
2251
+ 01:03:42,200 --> 01:03:43,820
2252
+ uncertainty ุงู„ุชุฑุจูŠุน ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ
2253
+
2254
+ 699
2255
+ 01:03:46,570 --> 01:03:54,190
2256
+ ูุทู„ุน ุนู†ุฏูŠ ุงู„ total uncertainty ููŠ ุงู„ K 2.45%
2257
+
2258
+ 700
2259
+ 01:03:54,190 --> 01:04:08,810
2260
+ ุจุฏุฑุฌุฉ ุซู‚ุฉ 95% ุทูŠุจ ุงู„ุขู† ุทู„ุนู†ุง ู†ุชุงุฆุฌุŒ ู†ุจุฏุฃ
2261
+
2262
+ 701
2263
+ 01:04:08,810 --> 01:04:12,150
2264
+ ู†ุญูŽู„ูู‘ู„ ููŠ ุงู„ู†ุชุงุฆุฌ ุฏุงุฆู…ุงู‹ .. ุฏุงุฆู…ุงู‹
2265
+
2266
+ 702
2267
+ 01:04:17,120 --> 01:04:22,400
2268
+ ุงู„ุฃุฑู‚ุงู… ุฃูˆ ุฃู†ุง ุจุณู…ูŠู‡ุง ู…ุง ูŠุณู…ู‰ ู„ุนุจุฉ ุงู„ุฃุฑู‚ุงู…ุŒ ู„ุนุจุฉ
2269
+
2270
+ 703
2271
+ 01:04:22,400 --> 01:04:26,280
2272
+ ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ุงู„ู…ู‡ุงุฑุฉ ุงู„ู„ูŠ ุจูŠูƒูˆู†ูˆุง ุจูŠุทูˆู‘ุฑูˆู‡ุง ุฃู†ุŒ ูˆุนู†ุฏูƒ
2273
+
2274
+ 704
2275
+ 01:04:26,280 --> 01:04:30,640
2276
+ ุฃุฑู‚ุงู… ุจุฏูƒ
2277
+
2278
+ 705
2279
+ 01:04:30,640 --> 01:04:38,760
2280
+ ุชุนุฑู ูƒูŠู ุชู„ุนุจ ููŠ ุงู„ุฃุฑู‚ุงู… ูˆูƒูŠู ุชุทู„ุน ู…ู†ู‡ุง ู…ุนู„ูˆู…ุงุช ูˆ
2281
+
2282
+ 706
2283
+ 01:04:38,760 --> 01:04:45,650
2284
+ ูƒูŠู ุชุจู†ูŠ ุนู„ูŠู‡ุง ู‚ุฑุงุฑุงุชุŒ ุชุญู„ูŠู„ูƒ ู„ุฃุฑู‚ุงู… ูˆูู‡ู…ูƒ ู„ุฃุฑู‚ุงู…
2285
+
2286
+ 707
2287
+ 01:04:45,650 --> 01:04:53,850
2288
+ ุตุญูŠุญ ุจูŠุนุทูŠูƒ ุนู„ู‰ ุงู„ุฃุบู„ุจ ู‚ุฑุงุฑุงุช ุตุญูŠุญุฉุŒ ุฃู†ุง ุฏู‚ูŠู‚ ุจุฃุญูƒูŠ ุนู„ู‰
2289
+
2290
+ 708
2291
+ 01:04:53,850 --> 01:04:56,990
2292
+ ุงู„ุฃุบู„ุจ ูŠุนู†ูŠ ู…ุด ุถุฑูˆุฑูŠ ูู‡ู…ูƒ ู„ุฃุฑู‚ุงู… ูˆุชุญู„ูŠู„ูƒ ุฃุฑู‚ุงู… ุตุญูŠุญ
2293
+
2294
+ 709
2295
+ 01:04:56,990 --> 01:05:00,310
2296
+ ูŠุนุทูŠูƒ ู…ุฆุฉ ููŠ ุงู„ู…ุฆุฉ ู‚ุฑุงุฑ ุตุญูŠุญุŒ ุจุณ ุนู„ู‰ ุงู„ุฃุบู„ุจ ู‡ูŠุนุทูŠูƒ
2297
+
2298
+ 710
2299
+ 01:05:00,310 --> 01:05:09,130
2300
+ ู‚ุฑุงุฑ ุตุญูŠุญุŒ ุนุฏู… ูู‡ู…ูƒ ู„ุฃุฑู‚ุงู… ูˆูƒูŠู ุจุชุฃุซุฑ ูˆุชุญู„ูŠู„ูƒ ุฎุทุฃ
2301
+
2302
+ 711
2303
+ 01:05:09,130 --> 01:05:15,470
2304
+ ุฃูƒูŠุฏ ุชุทู„ุน ู‚ุฑุงุฑุงุชูƒ ุฎุทุฃุŒ ุฃูˆ ุจุฏูŠ ุฃุญูƒูŠ ุนู† ุฃุบู„ุจู‡ุง ุชุทู„ุน
2305
+
2306
+ 712
2307
+ 01:05:15,470 --> 01:05:21,370
2308
+ ู‚ุฑุงุฑุงุช ุฎุงุทุฆุฉุŒ ุจุณ ู…ู…ูƒู† ุชุทู„ุน ุตุญูŠุญุฉ ุจุงุญุชู…ุงู„ูŠุฉ ู‡ูŠู‘ุงุดุฉ ุถุนูŠูุฉ
2309
+
2310
+ 713
2311
+ 01:05:21,370 --> 01:05:26,730
2312
+ ุนุฌุจุช ู‡ูŠูƒ ุนุฌุจุช ุจุงู„ู‡ุจู„ ู…ุนู‡ ูˆุนุฌุจุช ุฎู„ุงุต ุตุฏูุฉ ู…ุนู‡ ูุทู„ุน
2313
+
2314
+ 714
2315
+ 01:05:26,730 --> 01:05:32,010
2316
+ ุนู†ุฏู‡ ุงู„ุฃุฑู‚ุงู… ูŠุนู†ูŠ ุงู„ู†ุชูŠุฌุฉ ุฃูˆ ุงู„ู‚ุฑุงุฑ ุงู„ุตุญูŠุญุŒ ุทูŠุจ
2317
+
2318
+ 715
2319
+ 01:05:35,000 --> 01:05:37,580
2320
+ ุจุฏู†ุง ู†ุดูˆู ู†ุญู† ุงู„ parameters having the greatest
2321
+
2322
+ 716
2323
+ 01:05:37,580 --> 01:05:41,560
2324
+ effect to uncertainty ุจุฏู†ุง ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชุบูŠุฑุงุช
2325
+
2326
+ 717
2327
+ 01:05:41,560 --> 01:05:46,780
2328
+ ุงู„ู„ูŠ ู„ู‡ุง ุงู„ุฃุซุฑ ุงู„ุฃูƒุจุฑ ุนู„ู‰ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ K ุงู„ู„ูŠ
2329
+
2330
+ 718
2331
+ 01:05:46,780 --> 01:05:50,720
2332
+ ู‡ูˆ ุฃู†ุง ุงู„ู‡ุฏู ุจุชุงุนูŠ ุจุฏูŠ ุฃุญุณุจ ุงู„ K ูˆุงู„ uncertainty
2333
+
2334
+ 719
2335
+ 01:05:50,720 --> 01:06:02,100
2336
+ ููŠ ุงู„ K ุฃุฑุฌุน ุนู„ู‰ ุงู„ู…ุนุงุฏู„ุฉ ู‡ู†ุง
2337
+
2338
+ 720
2339
+ 01:06:13,280 --> 01:06:19,640
2340
+ ู„ุงุญุธูˆุง ููŠ ุงู„ .. ููŠ
2341
+
2342
+ 721
2343
+ 01:06:19,640 --> 01:06:27,040
2344
+ ุงู„ bias uncertainty ู…ูŠู† ู…ุคุซุฑ ุฃูƒุซุฑ ุดูŠุกุŸ
2345
+
2346
+ 722
2347
+ 01:06:27,040 --> 01:06:32,860
2348
+ ู†ุฑุฌุน ู„ู„ุฌุฏูˆู„ .. ู†ุฑุฌุน ู„ู„ุฌุฏูˆู„ุŒ ุฃูŠู‡ ู„ูˆ ู†ุทู„ุน ู‡ู†ุงุŸ
2349
+
2350
+ 723
2351
+ 01:06:36,710 --> 01:06:40,350
2352
+ ูˆุงุถุญ ุงู„ weight ูˆุงู„ diameter ูˆุงู„ .. ูˆุงู„ time is
2353
+
2354
+ 724
2355
+ 01:06:40,350 --> 01:06:46,470
2356
+ insignificant ุงู„ pressure ูŠุนู†ูŠ ุจูŠุฌูŠ ุฑู‚ู… ุซู„ุงุซุฉ
2357
+
2358
+ 725
2359
+ 01:06:46,470 --> 01:06:50,750
2360
+ ุจุนุฏูŠู† ุงู„ density ุฑู‚ู… ุฃุฑุจุนุฉ ููŠ ุงู„ precision ุฃูˆ
2361
+
2362
+ 726
2363
+ 01:06:50,750 --> 01:06:53,890
2364
+ ุงู„ standard deviation ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฎุทุฃ ูŠุนู†ูŠ ุจูŠุฏูŠุด ..
2365
+
2366
+ 727
2367
+ 01:06:53,890 --> 01:06:57,790
2368
+ ู‡ุฐุง ู…ุด ุงู„ uncertainty ู‡ุฐุง ูŠู…ุซู„ ุงู„ uncertainty
2369
+
2370
+ 728
2371
+ 01:06:57,790 --> 01:07:01,410
2372
+ ูŠู…ุซู„ ุงู„ uncertainty ู„ุฃู† ุฃู†ุง ุจุฏู‘ูŠ .. ุจุฏู‘ูŠ ุถุฑุจ ุฏุฑุฌุฉ
2373
+
2374
+ 729
2375
+ 01:07:01,410 --> 01:07:06,190
2376
+ ุงู„ุซู‚ุฉ ุชุจุนุชูŠุŒ ุฅุฐุง ุฏุฑุฌุฉ ุซู‚ุชูŠ ุนู†ุฏูŠ ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ
2377
+
2378
+ 730
2379
+ 01:07:06,190 --> 01:07:10,050
2380
+ ุงู„ู…ุฆุฉ ุฃุถุฑุจู‡ one point ุชุณุนุฉ ุณุชุฉุŒ ุฅุฐุง ุฏุฑุฌุฉ ุซู‚ุชูŠ
2381
+
2382
+ 731
2383
+ 01:07:10,050 --> 01:07:20,510
2384
+ ุนู†ุฏูŠ plus or minus sigma ุฃุถุฑุจู‡ point
2385
+
2386
+ 732
2387
+ 01:07:20,510 --> 01:07:21,490
2388
+ ุณุชุฉ ุซู…ุงู†ูŠุฉ
2389
+
2390
+ 733
2391
+ 01:07:28,460 --> 01:07:31,440
2392
+ ู„ุฃ plus or minus sigma ุฏุฑุฌุฉ ุซู‚ุฉ ุจุชูƒูˆู† ูƒู…ุŸ ุซู…ุงู†ูŠุฉ
2393
+
2394
+ 734
2395
+ 01:07:31,440 --> 01:07:35,360
2396
+ ุณุจุนุฉ ูˆุณุชุฉ ููŠ ุงู„ู…ุฆุฉุŒ ุทูŠุจ ุนู†ุฏูŠ ู‡ู†ุง ุงู„ precision
2397
+
2398
+ 735
2399
+ 01:07:35,360 --> 01:07:40,300
2400
+ ูˆุงุถุญุฉ ูƒุชูŠุฑ ู„ูŠุด ุจูŠุฃุซุฑ ุนู†ุฏ ุงู„ timeุŒ ูˆุฃูƒูŠุฏ ุฃู†ุง ุนู†ุฏูŠ
2401
+
2402
+ 736
2403
+ 01:07:40,300 --> 01:07:43,680
2404
+ ุจูุชุญ ุตู…ุงู… ุฃูุชุญู‡ ูˆุฃุณู‘ูƒูุฑ ู‡ุฐู‡ ุงู„ูุชุญุฉุŒ ูˆุงู„ุชุณูƒูŠุฑุง ู‡ุฐู‡ ู‡ูŠ
2405
+
2406
+ 737
2407
+ 01:07:43,680 --> 01:07:47,060
2408
+ ุงู„ critical ูƒุชูŠุฑ ุนู†ุฏูŠุŒ ุจุชูุฑู‚ ูƒุชูŠุฑ ู…ุนุงูŠุง ููŠ ุงู„ุญุณุจุฉ
2409
+
2410
+ 738
2411
+ 01:07:47,060 --> 01:07:53,500
2412
+ ุงู„ timeุŒ ุงู„ density is insignificant ูˆุงู„ pressure
2413
+
2414
+ 739
2415
+ 01:07:53,500 --> 01:07:57,700
2416
+ difference ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision ููŠู‡ ูƒุจูŠุฑุŒ ุจุนุฏูŠู† ุจูŠุฌูŠ
2417
+
2418
+ 740
2419
+ 01:07:57,700 --> 01:08:05,860
2420
+ ุฑู‚ู… ุซู„ุงุซุฉ ุงู„ water ู„ุฃู† ุตุงุฑ ู„ู†ุง ุตูˆุฑุฉ ูƒู„ูŠุฉ ู„ุฃู† ู„ู…ุง
2421
+
2422
+ 741
2423
+ 01:08:05,860 --> 01:08:15,300
2424
+ ู†ุญุณุจู†ุง ุงู„ total uncertainty ุนู†ุฏ
2425
+
2426
+ 742
2427
+ 01:08:15,300 --> 01:08:21,560
2428
+ ู‡ู†ุง ู‡ุฐุง ุงู„ bias uncertainty ูˆู‡ุฐุง ุงู„ precision
2429
+
2430
+ 743
2431
+ 01:08:21,560 --> 01:08:26,640
2432
+ uncertainty ุชู‚ุฑูŠุจุงู‹ ุงู„ุถุนู
2433
+
2434
+ 744
2435
+ 01:08:28,470 --> 01:08:35,670
2436
+ ู„ู…ุง ุฃุฑุจุน ูŠุนู†ูŠ ู…ุซู„ุงู‹ ุนู†ุฏูŠ ูˆุงุญุฏ ุฃุนุชุจุฑู‡ุง ูƒุฃู†ู‡ุง ู…ุซู„ุซ
2437
+
2438
+ 745
2439
+ 01:08:35,670 --> 01:08:41,070
2440
+ ู‚ุงุฆู…ุฉ ุงู„ุฒุงูˆูŠุฉ ู‡ุงูŠ
2441
+
2442
+ 746
2443
+ 01:08:41,070 --> 01:08:49,890
2444
+ ุถู„ุน ุงุซู†ูŠู† ูˆู‡ุงูŠ ูˆุงุญุฏ ูˆุงู„ R ู‡ุฐุง ูŠุณุงูˆูŠ ุงู„ุฌุฐุฑ
2445
+
2446
+ 747
2447
+ 01:08:49,890 --> 01:08:55,750
2448
+ ุงู„ุชุฑุจูŠุนูŠ ู„ูˆุงุญุฏ ุชุฑุจูŠุน ุฒุงุฆุฏ ุงุซู†ูŠู† ุชุฑุจูŠุน ุจูŠุทู„ุน ุฌุฐุฑ
2449
+
2450
+ 748
2451
+ 01:08:55,750 --> 01:08:56,550
2452
+ ุฎู…ุณุฉ
2453
+
2454
+ 749
2455
+ 01:08:58,780 --> 01:09:08,620
2456
+ ุฏุฑุฌุฉ ุฒูŠ ุงู„ุฎู…ุณุฉ ุจุชุทู„ุน ุณูŠุจู‚ู‰ ุงุซู†ูŠู†
2457
+
2458
+ 750
2459
+ 01:09:08,620 --> 01:09:14,860
2460
+ point ุงุซู†ูŠู†
2461
+
2462
+ 751
2463
+ 01:09:14,860 --> 01:09:21,460
2464
+ point ุงุซู†ูŠู† ุซู„ุงุซุฉ ุงุซู†ูŠู† ุซู„ุงุซุฉ ูƒู…ุŸ ุซู„ุงุซุฉ ุฎู„ุงุต ูŠูƒููŠ
2465
+
2466
+ 752
2467
+ 01:09:21,460 --> 01:09:27,420
2468
+ ูˆุงุถุญ ู‡ูŠ ุนู†ุฏูƒ ู‡ูŠ ุงู„ูˆุงุญุฏ ู„ูˆ ุนู… ู†ุนู…ู„ scale ู‡ูŠ ุณูˆู
2469
+
2470
+ 753
2471
+ 01:09:28,480 --> 01:09:36,400
2472
+ ูˆุงุญุฏ ุงุซู†ูŠู† ุซู„ุงุซุฉุŒ ุงู„ุงุซู†ูŠู† point ุงุซู†ูŠู† ู‡ุชุฌุงุฒ ู‡ู†ุง
2473
+
2474
+ 754
2475
+ 01:09:36,400 --> 01:09:39,720
2476
+ ูˆุงุถุญ
2477
+
2478
+ 755
2479
+ 01:09:39,720 --> 01:09:45,520
2480
+ ุงู„ total effect ู‚ุฑูŠุจ ุนู„ู‰ ุงู„ุงุซู†ูŠู† ุจุนูŠุฏ ูƒุชูŠุฑ ุนู†
2481
+
2482
+ 756
2483
+ 01:09:45,520 --> 01:09:50,780
2484
+ ุงู„ูˆุงุญุฏ ูุจู†ูุณ
2485
+
2486
+ 757
2487
+ 01:09:50,780 --> 01:09:52,820
2488
+ ุงู„ู…ู†ุทู‚ุฉ ุฏูŠ ุชู‚ุฑูŠุจุงู‹
2489
+
2490
+ 758
2491
+ 01:09:55,470 --> 01:09:58,970
2492
+ ูู‡ูŠ ุงู„ู…ุณูŠุทุฑุฉ ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉุŒ ูŠุนู†ูŠ ุงู„ุณูŠุทุฑุฉ ุนู„ู‰ .. ุทุจุนุงู‹
2493
+
2494
+ 759
2495
+ 01:09:58,970 --> 01:10:04,290
2496
+ ู‡ุฐู‡ ู„ู‡ุง .. ู„ู‡ุง ุชุฃุซูŠุฑุŒ ุจุณ ู…ูŠู† ุฃูƒุซุฑุŸ ู‡ุฐู‡ ุฃุฑุจุนุฉ ุฃุถุนุงูุŒ
2497
+
2498
+ 760
2499
+ 01:10:04,290 --> 01:10:10,150
2500
+ ู„ุฃู† ุฃู†ุช ุจุชุฑุจุน ููŠ ุงู„ุขุฎุฑุŒ ู .. ูุงู„ .. ุงู„ .. ุงู„
2501
+
2502
+ 761
2503
+ 01:10:10,150 --> 01:10:11,970
2504
+ random ุฃูˆ precision error ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุชุฃุซูŠุฑู‡ุง
2505
+
2506
+ 762
2507
+ 01:10:11,970 --> 01:10:15,170
2508
+ ุฃูƒุซุฑ ู…ู† ุงู„ .. ุงู„ .. ุงู„ bias uncertainty
2509
+
2510
+ 763
2511
+ 01:10:24,810 --> 01:10:27,750
2512
+ ุทุจุนุงู‹ ุงู„ precision .. ู†ุญู† ุฃุฎุฐู†ุง ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ุงู„
2513
+
2514
+ 764
2515
+ 01:10:27,750 --> 01:10:36,670
2516
+ precision uncertainty ุจุชุฒูŠุฏ ุฅุฐุง ูุงูƒุฑูŠู† ู†ุญู† ููŠ
2517
+
2518
+ 765
2519
+ 01:10:36,670 --> 01:10:39,990
2520
+ single sample ููŠ single .. ููŠ single .. ู†ุญู† ุญูƒูŠู†ุง
2521
+
2522
+ 766
2523
+ 01:10:39,990 --> 01:10:45,930
2524
+ ููŠ single sample ุงู„ uncertainty ุจุชุณุงูˆูŠ Z C ุนู„ู‰ ุงุซู†ูŠู†
2525
+
2526
+ 767
2527
+ 01:10:45,930 --> 01:10:47,710
2528
+ ููŠ ุงู„ standard deviation ุตุญุŸ
2529
+
2530
+ 768
2531
+ 01:10:50,290 --> 01:10:56,870
2532
+ ููŠ multiple trials ุฃูˆ ุนู†ุฏ ุงู„ K ุฃูˆ ุฃูƒุซุฑ ู…ู† ูˆุงุญุฏ
2533
+
2534
+ 769
2535
+ 01:10:56,870 --> 01:11:01,730
2536
+ ู‡ูŠูƒูˆู† ุงู„ U ูŠุณุงูˆูŠ Z C ุนู„ู‰ ุงุซู†ูŠู† ุณูŠุฌู…ุง ุนู„ู‰ ุฌุฐุฑ ุงู„ุชุฑุจูŠุน
2537
+
2538
+ 770
2539
+ 01:11:01,730 --> 01:11:08,750
2540
+ ู„ู€ N ููƒู„ ู…ุง ุนุฏุฏ ุงู„ trials ุฃูƒุซุฑ ุจู†ุฒู„
2541
+
2542
+ 771
2543
+ 01:11:08,750 --> 01:11:14,870
2544
+ uncertainty ูŠุนู†ูŠ ู„ูˆ ุงู„ุชุฌุฑุจุฉ ุนู…ู„ุชู‡ุง ุฃุฑุจุน ู…ุฑุงุช ุงู„
2545
+
2546
+ 772
2547
+ 01:11:14,870 --> 01:11:18,590
2548
+ uncertainty ุงู„ู„ูŠ ู‡ูŠ ุฌุงูŠุฉ ู…ุตุฏุฑู‡ุง ู…ุนุธู… ู…ู† ุงู„ time
2549
+
2550
+ 773
2551
+ 01:11:20,210 --> 01:11:25,490
2552
+ ุจุฏู„ ุงู„ูƒุซูŠุฑ ูŠุนู†ูŠ ุฃุตู„ุงู‹ ุฃุฑุจุน ู…ุฑุงุช ุจูŠุตูŠุฑ ุงู„ู†ุตูุŒ ุชุณุนุฉ
2553
+
2554
+ 774
2555
+ 01:11:25,490 --> 01:11:32,610
2556
+ ู…ุฑุงุช ุจูŠุตูŠุฑ ุงู„ุซู„ุซุŒ ุณุชุฉ ุนุดุฑ ู…ุฑุฉุŒ ุงู„ุฑุงุจุน ุฎู…ุณุฉ ุนุดุฑ ู…ุฑุฉุŒ ุงู„ุฎู…ุณุฉ
2557
+
2558
+ 775
2559
+ 01:11:32,610 --> 01:11:42,710
2560
+ ู…ุฆุฉ ู…ุฑุฉ ุงู„ุนุดุฑ ูˆู‡ูƒุฐุง ูˆุงุถุญ
2561
+
2562
+ 776
2563
+ 01:11:42,710 --> 01:11:49,400
2564
+ ุฃู† ุชุญุณูŠู† ู‚ุฑุงุกุฉ ุงู„ุฒู…ู† ูˆุงู„ูˆุฒู† ุจูŠุนุทูŠู†ูŠ ุงู„ .. ูŠุนู†ูŠ
2565
+
2566
+ 777
2567
+ 01:11:49,400 --> 01:11:57,100
2568
+ ุงู„ุฃูƒุซุฑ ุชุฃุซูŠุฑุงู‹ุŒ ุงู„ุชุญุณูŠู† ุงู„ pressure ูˆุงู„ู‚ุทุฑ
2569
+
2570
+ 778
2571
+ 01:11:57,100 --> 01:12:05,620
2572
+ ุจุชุฃุซุฑ ุจุณ ุจุฏุฑุฌุฉ ุฃู‚ู„ ู…ู† ุงู„ .. ุจุฏุฑุฌุฉ ุฃู‚ู„ ู…ู† ุงู„ูˆุฒู† ูˆุงู„
2573
+
2574
+ 779
2575
+ 01:12:05,620 --> 01:12:11,360
2576
+ ุงู„ .. ูˆุงู„ timeุŒ ุงู„
2577
+
2578
+ 780
2579
+ 01:12:11,360 --> 01:12:14,420
2580
+ density contributes almost nothing to total
2581
+
2582
+ 781
2583
+ 01:12:14,420 --> 01:12:17,200
2584
+ uncertainty ุงุฑุฌุนูˆุง ุซุงู†ูŠ
2585
+
2586
+ 782
2587
+ 01:12:31,000 --> 01:12:35,960
2588
+ high density ููŠ ุงู„ precision ูŠุนู†ูŠ ุฃู‚ู„ ุจูƒุซูŠุฑ ููƒุชู‡ุง
2589
+
2590
+ 783
2591
+ 01:12:35,960 --> 01:12:41,800
2592
+ ู…ู† ุงู„ .. ู…ู† ุงู„ .. ู…ู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ weight ูˆุงู„
2593
+
2594
+ 784
2595
+ 01:12:41,800 --> 01:12:50,940
2596
+ diameter ูุจุชุฃุซุฑุด ูุนู†ุฏูƒ ุงู„ .. ูˆุงู„ bias ุจุชุงุนู‡ุง ู‚ู„ูŠู„
2597
+
2598
+ 785
2599
+ 01:12:50,940 --> 01:12:56,090
2600
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ุญุงุฌุงุช ุงู„ุซุงู†ูŠุฉุŒ ูู‡ู†ุง ูŠุชุถุญ ุฃู† ุงู„ density
2601
+
2602
+ 786
2603
+ 01:12:56,090 --> 01:13:00,950
2604
+ ุงู„ุฃู‚ู„ ุชุฃุซูŠุฑุงู‹ุŒ ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ุฃู†ุง ุจุฏุฃุช ุขุฎุฐ ู‚ุฑุงุกุงุช
2605
+
2606
+ 787
2607
+ 01:13:00,950 --> 01:13:04,310
2608
+ ู„ู„ุญุฑุงุฑุฉ ุนุดุงู† ุจุณ ุฃุญุณู‘ู† ุดูˆูŠุฉ ุตุบูŠุฑุฉ ุฌุฏุงู‹ ุฌุฏุงู‹ ุฌุฏุงู‹ ู‡ุฐุง
2609
+
2610
+ 788
2611
+ 01:13:04,310 --> 01:13:17,390
2612
+ ู…ุถูŠุนุฉ ู„ู„ูˆู‚ุช ูˆุงู„ุฌู‡ุฏุŒ ู…ุถูŠุนุฉ ู„ู„ูˆู‚ุช ูˆุงู„ุฌู‡ุฏ ู„ุฃู†
2613
+
2614
+ 789
2615
+ 01:13:17,390 --> 01:13:21,530
2616
+ ููŠ ุฃูŠ ุชุฌุงุฑุจ ุจุฏูƒ ุชุนู…ู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุชุณุงุคู„ุงุช
2617
+
2618
+ 790
2619
+ 01:13:24,760 --> 01:13:29,580
2620
+ ุฃูˆู„ ุณุคุงู„ ู‡ู„
2621
+
2622
+ 791
2623
+ 01:13:29,580 --> 01:13:34,420
2624
+ ุงู„ .. ุงู„ .. ุงู„ุชู‚ุฏูŠุฑุงุช ู„ู„ุฎุทุฃ ููŠ ุงู„ .. ููŠ ุงู„ู…ุชุบูŠุฑุงุช
2625
+
2626
+ 792
2627
+ 01:13:34,420 --> 01:13:36,960
2628
+ ุงู„ู…ุฎุชู„ูุฉุŒ ุงู„ .. ุงู„ timeุŒ ุงู„ weightุŒ ุงู„ pressureุŒ
2629
+
2630
+ 793
2631
+ 01:13:36,960 --> 01:13:43,620
2632
+ ุงู„ densityุŒ ุงู„ diameterุŒ ู‡ู„ ู‡ูŠ ูŠุนู†ูŠ ุชู‚ุฏูŠุฑุงุช ุฌูŠุฏุฉุŸ
2633
+
2634
+ 794
2635
+ 01:13:43,620 --> 01:13:47,140
2636
+ ูŠุนู†ูŠ guess .. guess ูŠุนู†ูŠ ุชู‚ุฏูŠุฑ .. ุงุณู…ู‡ุŸ ุฃู†ูƒ
2637
+
2638
+ 795
2639
+ 01:13:47,140 --> 01:13:50,580
2640
+ ุชู‚ุฏู‘ุฑ .. ุช .. ุช .. ูŠุนู†ูŠ ุจุชุชูˆู‚ุน ุดูŠุกุŒ ุจุชูƒูˆู† guess
2641
+
2642
+ 796
2643
+ 01:13:53,890 --> 01:14:00,130
2644
+ to a degree ู„ุญุฏ ู…ุนูŠู† they are good guesses but
2645
+
2646
+ 797
2647
+ 01:14:00,130 --> 01:14:03,070
2648
+ dismissing them as nothing but guesses would be
2649
+
2650
+ 798
2651
+ 01:14:03,070 --> 01:14:08,470
2652
+ flippant ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุชูŽ ุญูƒูŠุช ู‡ูŠ ู…ุฌุฑุฏ ุชูˆู‚ุนุงุช ูˆุชู‚ุฏูŠุฑุงุช
2653
+
2654
+ 799
2655
+ 01:14:08,470 --> 01:14:13,910
2656
+ ุฃู†ุช ุชู‚ุฏูŠุฑุŒ ุฅุฐุง ู…ุง ูƒุงู† ุชู‚ุฏูŠุฑุงู‹ ูˆุชูˆู‚ุนุงู‹ ู…ุฏุฑูˆุณุงู‹ ุจุชูƒูˆู† ูŠุนู†ูŠ
2657
+
2658
+ 800
2659
+ 01:14:13,910 --> 01:14:17,990
2660
+ .. ูŠุนู†ูŠ ุดูŠุก ุฃูŠ ูƒู„ุงู… ุจุชูƒูˆู† ุดูŠุก ุฃูŠ ูƒู„ุงู… ุนู„ู‰ ุงู„ุฃุบู„ุจ
2661
+
2662
+ 801
2663
+ 01:14:17,990 --> 01:14:24,530
2664
+ ุฅุฐุง ู…ุง ูƒุงู† ู…ุฏุฑูˆุณุงู‹ ุฃูˆ ุฌุงูŠ ุจู†ุงุกู‹ ุนู„ู‰ ุฎุจุฑุชูƒ ููŠ ุงู„ุฃุฌู‡ุฒุฉ
2665
+
2666
+ 802
2667
+ 01:14:24,530 --> 01:14:28,830
2668
+ ู‡ุฐู‡ ูˆุงู„ู‚ูŠุงุณุงุช ู‡ุฐู‡ ุจุชูƒูˆู† .. ุจุชูƒูˆู†ุด ู‡ุฐุง guess ูŠุนู†ูŠ
2669
+
2670
+ 803
2671
+ 01:14:28,830 --> 01:14:40,230
2672
+ ุจุชูƒูˆู†ุด good guess ุจุชูƒูˆู†ุด ุชู‚ุฏูŠุฑุงู‹ ุฃูˆ ุชูˆู‚ู‘ุนุงู‹ ุฌูŠุฏุงู‹ ุทุจุนุงู‹
2673
+
2674
+ 804
2675
+ 01:14:40,230 --> 01:14:43,910
2676
+ ุงู„ .. ุงู„ .. ุงู„ุชูˆู‚ุนุงุช ุจุชูƒูˆู†ุด ุนุดูˆุงุฆูŠุฉ ุจุชูƒูˆู† ุจู†ุงุกู‹ ุนู„ู‰
2677
+
2678
+ 805
2679
+ 01:14:43,910 --> 01:14:48,330
2680
+ ุฎุจุฑุฉ ูˆู…ุนุฑูุฉ ูˆุฏุฑุงูŠุฉ ููŠ ุงู„ .. ุงู„ .. ุงู„ุชุฌุฑุจุฉ ูˆ
2681
+
2682
+ 806
2683
+ 01:14:48,330 --> 01:14:49,710
2684
+ ุงู„ู…ุนุฏุงุช ุงู„ู„ูŠ ุฃู†ุชูŽ ุดุบุงู„ ุนู„ูŠู‡ุง
2685
+
2686
+ 807
2687
+ 01:14:59,130 --> 01:15:02,810
2688
+ ุทูŠุจ ุทูŠุจ if you admit to guessing ุฃู† ู‡ูŠ ู…ุฌุฑุฏุฉ
2689
+
2690
+ 808
2691
+ 01:15:02,810 --> 01:15:08,410
2692
+ ุชูˆู‚ุนุงุชุŒ ู„ูŠุด ู…ุง ุนู…ู„ุช guess ู„ู„ total uncertainty ููŠ ุงู„
2693
+
2694
+ 809
2695
+ 01:15:08,410 --> 01:15:12,510
2696
+ K ู…ุจุงุดุฑุฉุŸ ุฃู†ุง ุนู…ู„ุช guess ู„ู„ uncertainty ููŠ ุงู„
2697
+
2698
+ 810
2699
+ 01:15:12,510 --> 01:15:18,650
2700
+ weight ูˆุงู„ time ูˆุงู„ pressure ูˆุงู„ diameter ูˆุงู„
2701
+
2702
+ 811
2703
+ 01:15:18,650 --> 01:15:24,850
2704
+ densityุŒ ุทุงู„ู…ุง ู‡ูŠ guess ุจ guessุŒ ู„ูŠุด ู…ุง ุนู…ู„ุช ุงู„ู„ูŠ ู‡ูˆ
2705
+
2706
+ 812
2707
+ 01:15:24,850 --> 01:15:31,390
2708
+ ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ K ุฃูˆู„ ุดูŠุกุŸ ู„ูŠู‡ ู…ุง ุชุณุจุจ ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ K ุงู„ K
2709
+
2710
+ 813
2711
+ 01:15:31,390 --> 01:15:36,170
2712
+ ุฒูŠ ู…ุง ุฃู†ุชู… ุดุงูŠููŠู† ุจูŠุนุชู…ุฏ ุนู„ู‰ .. ุนู„ู‰ .. ุนู„ู‰ mainly
2713
+
2714
+ 814
2715
+ 01:15:36,170 --> 01:15:41,910
2716
+ ุฎู…ุณุฉ parameters ุจุณ ู‡ูŠ ุญู‚ูŠู‚ุฉ ุฃูƒุซุฑ ู…ู† ุงู„ุฎู…ุณุฉ
2717
+
2718
+ 815
2719
+ 01:15:41,910 --> 01:15:46,950
2720
+ parameters ููŠ ู…ุง ูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ interference
2721
+
2722
+ 816
2723
+ 01:15:46,950 --> 01:15:51,970
2724
+ effectุŒ ุชู†ุณูŠู‚ ุงู„ effectุŒ ุฃุถุฑุจ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู…ุซู„ุงู‹
2725
+
2726
+ 817
2727
+ 01:15:51,970 --> 01:15:56,370
2728
+ ุนู†ุฏูŠ ุงู„ volume to something ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฏุฑุฌุฉ
2729
+
2730
+ 818
2731
+ 01:15:56,370 --> 01:16:05,290
2732
+ ุงู„ุญุฑุงุฑุฉ ูˆุงู„ุถุบุทุŒ ุทูŠุจ ู„ูˆ ุบูŠู‘ุฑุช ุงู„ุญุฑุงุฑุฉ ู„ุญุงู„ ุจุชุชุตุฑู
2733
+
2734
+ 819
2735
+ 01:16:05,290 --> 01:16:09,930
2736
+ ุจุดูƒู„ ู…ุนูŠู‘ู†ุŒ ูˆู„ูˆ ุบูŠู‘ุฑุช ุงู„ุถุบุท ู„ุญุงู„ ุจุชุชุตุฑู ุจุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉ
2737
+
2738
+ 820
2739
+ 01:16:09,930 --> 01:16:14,010
2740
+ ุทูŠุจ ู„ูˆ ุบูŠู‘ุฑุช ุงู„ุถุบุท ูˆุงู„ุญุฑุงุฑุฉ ู…ุน ุจุนุถ ุจุฎุชู„ู ุงู„ุชุตุฑู
2741
+
2742
+ 821
2743
+ 01:16:14,010 --> 01:16:17,700
2744
+ ู…ุนู†ุงุชู‡ ููŠ ุงู„ interaction ุฃูˆ ุงู„ interference effect
2745
+
2746
+ 822
2747
+ 01:16:17,700 --> 01:16:20,500
2748
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ุซู„ุงุซุฉ variables ู…ุซู„ุงู‹ ุงู„ variable x
2749
+
2750
+ 823
2751
+ 01:16:20,500 --> 01:16:28,360
2752
+ ูˆุงุญุฏ ูŠุนู†ูŠ ุนู†ุฏูŠ variable x ูˆุงุญุฏ ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู†
2753
+
2754
+ 824
2755
+ 01:16:28,360 --> 01:16:31,200
2756
+ ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู†
2757
+
2758
+ 825
2759
+ 01:16:31,200 --> 01:16:37,520
2760
+ ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู†
2761
+
2762
+ 826
2763
+ 01:16:37,520 --> 01:16:43,920
2764
+ ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู†
2765
+
2766
+ 827
2767
+ 01:16:43,920 --> 01:16:43,940
2768
+ ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู† ูˆ x ุงุซู†ูŠู†
2769
+
2770
+ 828
2771
+ 01:16:43,940 --> 01:16:50,490
2772
+ ูˆ x ู‡ุฐุง interaction effect ุนู†ุฏูŠ X ูˆุงุญุฏ ู…ุซู„ุงู‹ ู„ูˆ
2773
+
2774
+ 829
2775
+ 01:16:50,490 --> 01:16:54,650
2776
+ ูƒุงู†ุช ุซู„ุงุซุฉ variables X ูˆุงุญุฏ X ุงุซู†ูŠู† ูˆ X ุซู„ุงุซุฉ ูˆ
2777
+
2778
+ 830
2779
+ 01:16:54,650 --> 01:16:57,050
2780
+ ู‡ุฐุง independent variables ูˆ independent variable
2781
+
2782
+ 831
2783
+ 01:16:57,050 --> 01:17:04,010
2784
+ ู‡ูˆ Y ู…ุนู†ุงุชู‡ ุจูŠุนุชู…ุฏ ู‡ูˆ ุนู„ู‰ X ูˆุงุญุฏ ูˆ X ุงุซู†ูŠู† ูˆ X
2785
+
2786
+ 832
2787
+ 01:17:04,010 --> 01:17:10,770
2788
+ ุซู„ุงุซุฉ ูˆ X ูˆุงุญุฏ ู…ุน X ุงุซู†ูŠู† ูˆ X ูˆุงุญุฏ ู…ุน X ุซู„ุงุซุฉ ูˆ X
2789
+
2790
+ 833
2791
+ 01:17:10,770 --> 01:17:17,970
2792
+ ุงุซู†ูŠู† ู…ุน X ุซู„ุงุซุฉ ูˆ X ูˆุงุญุฏ ู…ุน X ุงุซู†ูŠู† ู…ุน X ุซู„ุงุซุฉ
2793
+
2794
+ 834
2795
+ 01:17:17,970 --> 01:17:23,210
2796
+ ู‡ุฐุง ูƒู„ interaction effect ูƒู„ ุฅูŠุดุŸ interaction ุฃูˆ
2797
+
2798
+ 835
2799
+ 01:17:23,210 --> 01:17:25,290
2800
+ interference effect
2801
+
2802
+ 836
2803
+ 01:17:30,480 --> 01:17:33,700
2804
+ ูู…ุนู†ุงุชู‡ ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุดูˆู ุฅูŠุด
2805
+
2806
+ 837
2807
+ 01:17:33,700 --> 01:17:39,320
2808
+ ุงู„ุงุญุชู…ุงู„ุงุช ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุฃู†ุง
2809
+
2810
+ 838
2811
+ 01:17:39,320 --> 01:17:44,220
2812
+ ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุตุญ ุงู„ู„ูŠ ู‡ูˆ WDT Rho Delta P
2813
+
2814
+ 839
2815
+ 01:17:44,220 --> 01:17:49,220
2816
+ ูŠุนู†ูŠ ุฃู†ุง ู‡ูƒูˆู† ุนู†ุฏูŠ X ูˆุงุญุฏ ู‡ู…ุดูŠ
2817
+
2818
+ 840
2819
+ 01:17:49,220 --> 01:17:55,040
2820
+ ุดูˆูŠุฉ ู„ุฃู† ุฃู†ุง ู‡ุทูˆู„ X ุซู„ุงุซุฉ ูˆ X ุฃุฑุจุนุฉ ูˆ X ุฎู…ุณุฉ ูˆ X
2821
+
2822
+ 841
2823
+ 01:17:55,040 --> 01:17:59,710
2824
+ ุฎู…ุณุฉ ูˆุนู†ุฏูŠ ุงู„ Y ุงู„ู„ูŠ ู‡ูŠ ุงู„ K ุตุญุŒ ู…ุนู†ุงุชู‡ ุนู†ุฏูŠ x
2825
+
2826
+ 842
2827
+ 01:17:59,710 --> 01:18:03,530
2828
+ ูˆุงุญุฏ ู„ู‡ุง x ูˆุง๏ฟฝ๏ฟฝุฏ x ุงุซู†ูŠู† ู‡ูŠ ุฎู…ุณุฉ ู‡ูŠ ุฎู…ุณุฉ ุฎู…ุณ ุดุบู„ุงุช
2829
+
2830
+ 843
2831
+ 01:18:03,530 --> 01:18:13,830
2832
+ x ูˆุงุญุฏ ุฅู„ู‰ x ุฎู…ุณุฉ alone ู‡ูŠ ุฎู…ุณุฉุŒ x ูˆุงุญุฏ ู…ุน x ุงุซู†ูŠู† ูˆ
2833
+
2834
+ 844
2835
+ 01:18:13,830 --> 01:18:18,550
2836
+ x ูˆุงุญุฏ ู…ุน ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุนู†ุฏูƒ ุนู…ู„ matrix ู‡ูŠ x ูˆุงุญุฏ x
2837
+
2838
+ 845
2839
+ 01:18:18,550 --> 01:18:23,370
2840
+ ุงุซู†ูŠู† x ุซู„ุงุซุฉ x ุฃุฑุจุนุฉ x ุฎู…ุณุฉ
2841
+
2842
+ 846
2843
+ 01:
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/PNMKWzSr-Zk_postprocess.srt ADDED
@@ -0,0 +1,3524 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,280 --> 00:00:07,880
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,880 --> 00:00:11,160
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ chapter three ุงู„ู„ูŠ ู‡ูˆ
8
+
9
+ 3
10
+ 00:00:11,160 --> 00:00:17,040
11
+ assessing and presenting experimental data ุญุงุทูŠ
12
+
13
+ 4
14
+ 00:00:17,040 --> 00:00:22,480
15
+ example ู…ูุตู„ ุทุจุนุง
16
+
17
+ 5
18
+ 00:00:22,480 --> 00:00:26,620
19
+ ุงู„ example ู…ูุตู„ ู‡ุฐุง ุจูŠุดุฑุญ ุทุฑูŠู‚ุฉ ุฃุญุฏ ุทุฑู‚ ู‚ูŠุงุณ
20
+
21
+ 6
22
+ 00:00:26,620 --> 00:00:34,140
23
+ ุงู„ุชุฏูู‚ ุงู„ุงุณุชูˆุงุฆู„ ุงู„ู„ูŠ ู‡ูŠ flow rate measurementุทุจุนุง
24
+
25
+ 7
26
+ 00:00:34,140 --> 00:00:37,360
27
+ ุชุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„ flow ุงู„ู„ูŠ ู‡ูŠ ุงู„ obstructions
28
+
29
+ 8
30
+ 00:00:37,360 --> 00:00:41,680
31
+ meters ูŠุนู†ูŠ ู…ุซู„ุง ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐุง ุงู„ุฌู‡ุงุฒ ูŠุณู…ู‰
32
+
33
+ 9
34
+ 00:00:41,680 --> 00:00:45,720
35
+ Venturimeter ู‡ูŠ ุนู†ุฏู‡ Orifice Meter ุงู„ Venturimeter
36
+
37
+ 10
38
+ 00:00:45,720 --> 00:00:49,360
39
+ ุงู„ู„ูŠ ุจูŠูƒูˆู† ุนู†ุฏู‡ุง ู‡ูŠ ุงู†ุจูˆุจ ู‡ูŠ ู‚ุทุฑ ู…ุนูŠู† ุจุนุฏูŠู† ุจูŠุตูŠุฑ
40
+
41
+ 11
42
+ 00:00:49,360 --> 00:00:54,640
43
+ ุนู†ู‚ ุจุนุฏูŠู† ูŠุงุด ุจูŠูƒุจุฑ ุชุงู†ูŠ ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุชุนู†ู‚ ุจุงุณุชุฎุฏุงู…
44
+
45
+ 12
46
+ 00:00:54,640 --> 00:01:01,500
47
+ ู…ุนุงุฏู„ุฉ Bernoulliุจู†ูˆ ุงู„ equation ุงู„ุฏุบุท ู‡ู†ุง ุจูŠูƒูˆู†
48
+
49
+ 13
50
+ 00:01:01,500 --> 00:01:04,640
51
+ ุฃู‚ู„ ู‡ู†ุง ูŠุนู†ูŠ ุงู„ุฏุบุท ู‡ู†ุง ุฃุนู„ู‰ ู…ู† ู‡ู†ุง ูุจุณูŠู†ุง ุงู„
52
+
53
+ 14
54
+ 00:01:04,640 --> 00:01:09,160
55
+ pressure difference ูู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ pressure
56
+
57
+ 15
58
+ 00:01:09,160 --> 00:01:15,360
59
+ difference ู…ู…ูƒู† ุฃุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ flow rate ุงู„
60
+
61
+ 16
62
+ 00:01:15,360 --> 00:01:18,680
63
+ pressure difference ูŠู‚ุงุณ ุจุงุณุชุฎุฏุงู… ุงู„ู„ูŠ ู‡ูˆ
64
+
65
+ 17
66
+ 00:01:18,680 --> 00:01:25,690
67
+ manometer manometer ู‡ู†ุดูˆู ุงูŠุด ู‡ูˆ ุงู„ manometerุทุจุนุง
68
+
69
+ 18
70
+ 00:01:25,690 --> 00:01:31,370
71
+ ุงู†ุง ุนู†ุฏู‰ two positions position one ูˆ position two
72
+
73
+ 19
74
+ 00:01:31,370 --> 00:01:38,290
75
+ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ุชุงู„ูŠุฉ ุงู„ู„ู‰ ุชุญูƒูŠู‡ุง P1 ุงูˆ ุงู„ total energy
76
+
77
+ 20
78
+ 00:01:38,290 --> 00:01:45,990
79
+ is conserved ุทุงู‚ุฉ ุงู„ูู„ูˆุฏ ุงู„ูƒู„ูŠุฉ ู…ุญููˆุจุฉ ุทุงู‚ุฉ ุงู„ูู„ูˆุฏ
80
+
81
+ 21
82
+ 00:01:45,990 --> 00:01:52,690
83
+ ุฌุงูŠุฉ ุนู† ุชู„ุช ุดุบู„ุงุช ู†ุงุชุฌุฉ ู…ู† ุชู„ุช ุดุบู„ุงุช ุงู„
84
+
85
+ 22
86
+ 00:01:52,690 --> 00:01:56,450
87
+ pressure static pressureูˆ ุงู„ dynamic pressure
88
+
89
+ 23
90
+ 00:01:56,450 --> 00:02:01,050
91
+ ู†ุชูŠุฌุฉ ุงู„ุณุฑุนุฉ ูˆ ุงู„ pressure due ุชู‡ุฏ ุงู„ุงุฑุชูุงุน ุงุฐุง
92
+
93
+ 24
94
+ 00:02:01,050 --> 00:02:05,530
95
+ ุนู†ุฏู‰ ู…ูŠุงู‡ ุงุฑุชูุงุน ุจุชุนู…ู„ ุงู„ pressure ุตุญ ูุงู„ุทุงู‚ุฉ
96
+
97
+ 25
98
+ 00:02:05,530 --> 00:02:09,410
99
+ ู†ุงุชุฌุฉ ู…ู† ุงู„ู„ูŠ ู‡ูˆ static pressure ุงู„ู„ูŠ ู…ุถุบูˆุท ููŠ
100
+
101
+ 26
102
+ 00:02:09,410 --> 00:02:16,570
103
+ ุงู„ูƒูˆู† ุนู†ุฏู‡ dynamic pressure ู†ุชูŠุฌุฉ ุงู„ุญุฑูƒุฉ ููŠ ุงู„ู‡ุฏ
104
+
105
+ 27
106
+ 00:02:16,570 --> 00:02:20,490
107
+ ู‡ุฐุง constant ุนู„ู‰ ูุฑุถ ุงู† ู…ุงููŠุด ููˆุงู‚ุฏ ูŠุนู†ูŠ ู…ุงููŠุด
108
+
109
+ 28
110
+ 00:02:20,490 --> 00:02:25,750
111
+ losses ู†ุชูŠุฌุฉ ุงู„ุงุญุชูƒุงูƒ ุงูˆ ุงูŠ ุงุณุจุงุจ ุงุฎุฑู‰ูู‡ูŠูƒูˆู† ุนู†ุฏ
112
+
113
+ 29
114
+ 00:02:25,750 --> 00:02:35,190
115
+ ุงู„ P ูˆุงุญุฏ ููŠ ุงู„
116
+
117
+ 30
118
+ 00:02:35,190 --> 00:02:48,910
119
+ P ูˆุงุญุฏ ุฒุงุฆุฏ ุงู„
120
+
121
+ 31
122
+ 00:02:48,910 --> 00:02:50,630
123
+ P ูˆุงุญุฏ ุฒุงุฆุฏ
124
+
125
+ 32
126
+ 00:02:54,230 --> 00:03:07,910
127
+ ู…ุต ุฑูˆ ู…ุต ุฑูˆ V ูˆุงุญุฏ ุชุฑุจูŠุฉ ุฒุงุฆุฏ ุฑูˆ GH ูˆุงุญุฏุจุงู„ุณุงูˆูŠุฉ
128
+
129
+ 33
130
+ 00:03:07,910 --> 00:03:11,530
131
+ ุทุจุนุง ู‡ุฐู‡ ุงู„ energy at position one ุจุชุณุงูˆูŠุฉ ุงู„
132
+
133
+ 34
134
+ 00:03:11,530 --> 00:03:14,810
135
+ energy at position two ุนู„ู‰ ูุฑุถ ุงู†ู‡ ู…ุงููŠู‡ุงุด ููˆุงุฆุฏ
136
+
137
+ 35
138
+ 00:03:14,810 --> 00:03:25,630
139
+ ู‡ุงูƒูˆู„ ุงู†ุฏูŠ P2 ุฒุงุฆุฏ ู†ุต ุฑูˆ V square ุฒุงุฆุฏ ุฑูˆ G
140
+
141
+ 36
142
+ 00:03:25,630 --> 00:03:28,810
143
+ ุงูƒุดุชู†ูŠู†
144
+
145
+ 37
146
+ 00:03:28,810 --> 00:03:34,090
147
+ ู…ุนู†ุงู‡
148
+
149
+ 38
150
+ 00:03:34,090 --> 00:03:36,170
151
+ ุชุญูƒูˆุง ุงู†ุฏูŠ P1
152
+
153
+ 39
154
+ 00:03:38,900 --> 00:03:45,420
155
+ -P2 ุงู„ู„ูŠ ู‡ุณู…ูŠู‡ุง ู‡ู†ุง delta P ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท ุจูŠู†
156
+
157
+ 40
158
+ 00:03:45,420 --> 00:03:53,300
159
+ ูˆุงุญุฏ ูˆ ุงุชู†ูŠู† ู‡ูƒูˆู† ุณุงูˆู‰ ูŠุนู†ูŠ ุฌูŠุช P2 ุนู„ู‰ ุฌู‡ุฉ ุงู„ุดู…ุงู„
160
+
161
+ 41
162
+ 00:03:53,300 --> 00:03:59,000
163
+ ู‡ูƒูˆู† ุณุงูˆูŠุฉ ู†ุต ุฑูˆุญ
164
+
165
+ 42
166
+ 00:03:59,000 --> 00:04:07,160
167
+ ู†ุต ุฑูˆุญ ููŠ V2 ุชุฑุจูŠู‡ ู†ุงู‚ุต V1
168
+
169
+ 43
170
+ 00:04:17,560 --> 00:04:20,720
171
+ ุทุจุนุง ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุชู‚ุฑูŠุจูŠุฉ ู„ุงู† ููŠ ุนู†ุฏูŠ losses ุงู†ุง
172
+
173
+ 44
174
+ 00:04:20,720 --> 00:04:25,760
175
+ ู…ู…ูƒู† ุงุฎู„ูŠู‡ุง ุตุญ ุจูŠ ุจุงู„ู…ุฆุฉ ู„ูˆ ุญูƒูŠุช ุงู† P1 ุฒุงุฏ ู†ุต ุฑูˆ
176
+
177
+ 45
178
+ 00:04:25,760 --> 00:04:31,440
179
+ V1 ุชุฑุจูŠู‡ ุฒุงุฏ ุฑูˆ GH1 ุจุณูˆุฉ P2 ุฒุงุฏ ู†ุต ุฑูˆ V2 ุชุฑุจูŠู‡ ุฒุงุฏ
180
+
181
+ 46
182
+ 00:04:31,440 --> 00:04:37,760
183
+ ุฑูˆ GH2 ุฒุงุฏ lossesู‡ุญุท term losses ู„ูƒู† ุทุงู„ู…ุง ุงู†ุง
184
+
185
+ 47
186
+ 00:04:37,760 --> 00:04:44,540
187
+ ู…ุงุญุทุฏุด losses ุงูุชุฑุงุถู‡ุง ุงู†ู‡ุง zero ุทูŠุจ
188
+
189
+ 48
190
+ 00:04:44,540 --> 00:04:48,300
191
+ ู…ุนู†ุงู‡ ุฏู„ุชุง ุจูŠ ุฏู„ุชุง ุจูŠ ุนู„ู‰ ููƒุฑุฉ ุงู†ุง ู„ุณู‡ ู…ุด ุญุงูุธ
192
+
193
+ 49
194
+ 00:04:48,300 --> 00:04:55,400
195
+ ุฃุณู…ูŠูƒู… ู„ูˆ ูƒู„ ูˆุงุญุฏ ุงุญูƒูŠ ุงุณู…ู‡ ุญู…ุฏ ุญู…ุฏ ุฃุจูˆ ูˆุฑุฏุฉ ุฃุญู…ุฏ
196
+
197
+ 50
198
+ 00:04:55,400 --> 00:05:00,780
199
+ ุงู„ู…ุฏู†ุงู† ุฃุญู…ุฏ ุงู„ู…ุฏู†ุงู† ุฏูˆุฑ ุฃุญู…ุฏ ุฃุจูˆ ุดูˆูŠุด ุฏูˆุฑ ุฃุญู…ุฏ
200
+
201
+ 51
202
+ 00:05:00,780 --> 00:05:02,100
203
+ ุฃุจูˆ ุดูˆูŠุด
204
+
205
+ 52
206
+ 00:05:08,870 --> 00:05:20,550
207
+ ุนุจุฏุงู„ุฑุญู…ู† ุนุจุฏ ุนู…ุฑ ู…ุญู…ุฏ ุงุชุฏุดุช ู…ุตุฑ ุงู„ุดูˆุจุฉ ูƒุฏู‡ ูุตู„
208
+
209
+ 53
210
+ 00:05:20,550 --> 00:05:28,850
211
+ ุงู„ุณุฌุฉ ุงุฒู… ุงู„ุฌุฏูˆุฉ ูƒู…ุฑุฉ ุจุญูุธ ุงู„ุฃุณู…ุงุก ุทูŠุจุฏู„ุชุง ุจู‰
212
+
213
+ 54
214
+ 00:05:28,850 --> 00:05:36,870
215
+ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ู†ุตุฑู‡ V2 ุชุฑุจูŠุน ู†ู‚ุต V1 ุชุฑุจูŠุน ู„ุฃู†
216
+
217
+ 55
218
+ 00:05:36,870 --> 00:05:42,790
219
+ ููŠ ู…ุนุงุฏู„ุฉ ุชุงู†ูŠุฉ ู‡ุชููŠุฏู†ุง ุงู„
220
+
221
+ 56
222
+ 00:05:42,790 --> 00:05:46,510
223
+ mass flow rateุงู„ู…ูŠุฉ ุงู„ู„ู‰ ู‡ุชุฏุฎู„ ู…ู† ู‡ู†ุง ู‡ุชุทู„ุน ู…ู† ู‡ู†ุง
224
+
225
+ 57
226
+ 00:05:46,510 --> 00:05:52,430
227
+ ู†ูุณ ุงู„ูƒู…ูŠุฉุŒ ู…ุธุจูˆุทุŸ ูŠุนู†ูŠ ููŠ ุนู†ุฏู‰ ู‚ุงู†ูˆู† ุญูุธ ุงู„ูƒุชู„ุฉ
228
+
229
+ 58
230
+ 00:05:52,430 --> 00:05:58,130
231
+ ุงูˆ ุงู„ continuity equation continuity equation ุงู„ู„ู‰
232
+
233
+ 59
234
+ 00:05:58,130 --> 00:06:04,670
235
+ ู‡ูˆ M ูˆุงุญุฏ dot ุจูŠุณุงูˆูŠ M ุงุชู†ูŠู† dot
236
+
237
+ 60
238
+ 00:06:11,990 --> 00:06:18,410
239
+ ูŠุนู†ูŠ ุงู†ุง ู‡ูƒูˆู† ุนู†ุฏ ุงู„ m ูˆุงุญุฏ dot ุงู„ู„ู‰ ู‡ู‰ floor rate
240
+
241
+ 61
242
+ 00:06:18,410 --> 00:06:25,570
243
+ ูู‰ density ุตุญ ู‡ูƒูˆู† ุนู†ุฏู‰ ุนู„ู‰ ูุฑุถ density ุซุงุจุชุฉ ุฑูˆ
244
+
245
+ 62
246
+ 00:06:25,570 --> 00:06:35,270
247
+ ูู‰ q ูˆุงุญุฏ ุจุณ ุฑูˆ ูู‰ q ุงุชู†ูŠู† ุนู„ู‰ ูุฑุถ ุงู„ูƒุซุงูุฉ ูŠุงุด
248
+
249
+ 63
250
+ 00:06:35,270 --> 00:06:37,550
251
+ ุซุงุจุชุฉ ู‡ูƒูˆู† ุนู†ุฏู‰ q ูˆุงุญุฏ
252
+
253
+ 64
254
+ 00:06:40,270 --> 00:06:46,770
255
+ ุจุณุงูˆุฉ ูƒูŠูˆ ุงุชู†ูŠู† ุงู„ูƒูŠูˆ ูˆุงุญุฏ ุนุจุงุฑุฉ ุนู† volume floor
256
+
257
+ 65
258
+ 00:06:46,770 --> 00:06:52,910
259
+ rate ูŠุนู†ูŠ volume ู„ูƒู„ ูˆุญุฏุฉ ุฒู…ู† ุงู„ volume ู‡ูŠูƒูˆู†
260
+
261
+ 66
262
+ 00:06:52,910 --> 00:07:00,270
263
+ ู…ุณุงุญุฉ ู…ู‚ุทุน by ุนู„ู‰ ุงุฑุจุน ุฏูŠ ูˆุงุญุฏ ุชุฑุจูŠุฉ
264
+
265
+ 67
266
+ 00:07:06,080 --> 00:07:12,000
267
+ ุฃูˆ ููŠ ููŠ ุณุฑุนุฉ ููŠ V ูˆุงุญุฏ ููŠ V ูˆุงุญุฏ ู„ุงู† ุงู„ุณุฑุนุฉ ุนุจุงุฑุฉ
268
+
269
+ 68
270
+ 00:07:12,000 --> 00:07:20,520
271
+ ุนู† ุงูŠุด ูˆุญุฏุฉ ู…ุณุงูุฉ ู„ูƒู„ ุฒู…ุงู† ุจุงู„ุณุงูˆูŠุฉ ุจุงูŠ ุนู„ู‰ ุฃุฑุจุนุฉ
272
+
273
+ 69
274
+ 00:07:20,520 --> 00:07:28,300
275
+ ุฏูŠ ุงุชู†ูŠู† ุชุฑุจูŠุฉ ููŠ V ุงุชู†ูŠู† ูŠุนู†ูŠ ู‡ูŠุฑูˆุญ ุจุงูŠ ุนู„ู‰ ุฃุฑุจุนุฉ
276
+
277
+ 70
278
+ 00:07:28,300 --> 00:07:30,200
279
+ ุจุงูŠ ุนู„ู‰ ุฃุฑุจุนุฉ
280
+
281
+ 71
282
+ 00:07:38,220 --> 00:07:44,380
283
+ ู…ุนู†ุงุชู‡ ุงู†ุง ุนู†ุฏูŠ ู‡ุงูŠ ู…ุนุงุฏู„ุฉ ุฑู‚ู… ูˆุงุญุฏ ู…ุนุงุฏู„ุฉ ุฑู‚ู…
284
+
285
+ 72
286
+ 00:07:44,380 --> 00:07:53,280
287
+ ุงุชู†ูŠู† ุทุจุนุง ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุงุช ู…ุซุงู„ูŠุฉ ู„ูƒู† ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ
288
+
289
+ 73
290
+ 00:07:53,280 --> 00:07:58,980
291
+ ุงู„ุงุฎุชู†ุงู‚ ู‡ู†ุง ู…ู…ูƒู† ุชุตุจุญ turbulence ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
292
+
293
+ 74
294
+ 00:07:58,980 --> 00:08:04,820
295
+ ุชุตุจุญ ุนุดูˆุงุฆูŠุฉ ููŠ ุงู„ุชุฏูู‚ ุชุตุจุญ ููˆุถุฉ ููŠ ุงู„ุชุฏูู‚ ู‡ูŠ
296
+
297
+ 75
298
+ 00:08:04,820 --> 00:08:10,830
299
+ ู…ุนู†ุงู‡ ุงู„ turbulence ูุงู„ุงุฎุชู†ุงู‚ ู‡ุฐุงุจูŠุตูŠุฑ ุงู„ูู„ูˆุฑุช
300
+
301
+ 76
302
+ 00:08:10,830 --> 00:08:14,510
303
+ ุงู„ู…ุนุงุฏู„ุฉ ุชุงุนุชู‡ ุทุจุนุง ุงู†ุง ู‡ุญู„ ู…ุนุงุฏู„ุฉ ู‡ุฐุง ุงู†ุง
304
+
305
+ 77
306
+ 00:08:14,510 --> 00:08:18,870
307
+ ุจูŠุนุทูŠูƒูˆุง ุงู„ููƒุฑุฉ ูู‡ุฐุง ุดุบู„ fluid mechanics ุงู„ูู„ูˆุฑุช
308
+
309
+ 78
310
+ 00:08:18,870 --> 00:08:22,530
311
+ ู‡ูŠูƒูˆู†
312
+
313
+ 79
314
+ 00:08:22,530 --> 00:08:29,070
315
+ ูˆู‚ุช ุงู„ู„ูŠ ู„ู‚ุฏ ุจูŠุณุงูˆูŠ K ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน A2 ููŠ ุงู„ุฌุฒุฑ
316
+
317
+ 80
318
+ 00:08:29,070 --> 00:08:33,590
319
+ ุงู„ุชุฑุจูŠุฉ ุงู„ุงุชู†ูŠู† G ุงู„ู„ูŠ ู‡ูŠ ุงู„ gravity ููŠ Delta P
320
+
321
+ 81
322
+ 00:08:33,590 --> 00:08:43,390
323
+ ุนู„ู‰ Rุงู„ู€ K ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ู„ูŠ ู‡ูˆ ูŠุณู…ู‰ flow
324
+
325
+ 82
326
+ 00:08:43,390 --> 00:08:48,790
327
+ coefficient flow coefficient ู‡ุฐุง ูŠุญุณุจ empirically
328
+
329
+ 83
330
+ 00:08:48,790 --> 00:08:55,010
331
+ ูŠุนู†ูŠ ุจุงู„ุชุฌุฑุจุฉ ุจุญุณุจ ุงู„ุชุบูŠุฑ ููŠ ุงู„ section ู‡ู„ ุงู„ุชุบูŠุฑ
332
+
333
+ 84
334
+ 00:08:55,010 --> 00:09:01,490
335
+ ุนุจุงุฑุฉ ุนู† ูˆูŠู†ุดูˆุฑูŠ ุจูŠุตูŠุฑ ุชุบูŠุฑ ุชุฏุฑูŠุฌูŠ ุฃูˆ ุจุชุบูŠุฑ ุดูƒู„
336
+
337
+ 85
338
+ 00:09:02,420 --> 00:09:05,460
339
+ ู…ูุงุฌุฆุฉ ุงู„ู„ูŠ ู‡ูŠ orifice ูŠุนู†ูŠ ุงู†ุง ุนู†ุฏูŠ hand ุจูŠูƒูˆู†
340
+
341
+ 86
342
+ 00:09:05,460 --> 00:09:12,440
343
+ ุนู†ุฏูŠู‡ disk ูˆ ููŠ ูุชุญุฉ ููŠ disk ูุชุญุฉ ู‡ูˆ ุงู„ flow ุนุดุงู†
344
+
345
+ 87
346
+ 00:09:12,440 --> 00:09:17,320
347
+ ุจุงู„ุดูƒู„ ู‡ุฐุง ููŠ ู…ู†ุทู‚ู‡ูŠู† ุจูŠุณูŠุฑ ููŠู‡ุง ุฒูŠ ุชูุฑูŠุบ ุจูŠุตูŠุฑ ุฒูŠ
348
+
349
+ 88
350
+ 00:09:17,320 --> 00:09:22,600
351
+ ุชูุฑูŠุบ ุชุนู…ู„ ุจูŠุตูŠุฑ ุงู„ flow ุจุงู„ุดูƒู„ ู‡ุฐุง ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
352
+
353
+ 89
354
+ 00:09:22,600 --> 00:09:27,700
355
+ ูŠุนู†ูŠ
356
+
357
+ 90
358
+ 00:09:27,700 --> 00:09:32,760
359
+ ุงู„ flow ุนุดุงู†ูŠุดุจูƒ ุชุงู†ูŠ ู…ุน ุงู„ service ุจุชุงุน ุงู„ tube
360
+
361
+ 91
362
+ 00:09:32,760 --> 00:09:39,760
363
+ ู‡ูˆ ุงู†ุง ุฎู„ุชู‡ ูŠุญุดุฑ ุฒูŠ ู‡ูŠูƒ ู…ุณุชุญูŠู„ ูŠุญุดุฑ ู‡ูŠูƒ ู…ุจุงุดุฑุฉ
364
+
365
+ 92
366
+ 00:09:39,760 --> 00:09:45,220
367
+ jump ุตุญ ูŠู…ุณูƒ ูู…ุญุชุงุฌ ูุชุฑุฉ ู…ุญุชุงุฌ ู…ุณุงูุฉ ู„ุญุฏ ู†ุดุจูƒ
368
+
369
+ 93
370
+ 00:09:45,220 --> 00:09:48,760
371
+ ูุจุตูŠุฑ ุฒูŠ ุดุจู‡ ุชูุฑูŠุบ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุฏู‡ ุงู„ุฏุบุท ู…ู† ู…ุงู„ู‡
372
+
373
+ 94
374
+ 00:09:48,760 --> 00:09:55,280
375
+ ูŠุนู†ูŠ ุจู†ุฎูุถ ูุงู†ุง ุจูƒูˆู† ุญุงุท ู‡ู†ุง ูุงุชุญ ูุงุชุญุฉ ู‡ู†ุง ูˆ ูุงุชุญ
376
+
377
+ 95
378
+ 00:09:55,280 --> 00:09:57,720
379
+ ู‡ู†ุง ุงู„ุฏุบุท ู‡ู†ุง ุทุจุนุง ู‡ู†ุง ุญุงุฌู‡ ูƒูˆู†ู‡ ูŠุนุด ุงู„ุจูˆู…ู„ุงู†ุฉ ู‡ู†ุง
380
+
381
+ 96
382
+ 00:09:58,450 --> 00:10:02,210
383
+ ุงู„ุถุบุท ู‡ู†ุง ุณูŠูƒูˆู† ุฃุนู„ู‰ ู…ู† ู‡ู†ุง ูุจุตูŠุฑ pressure
384
+
385
+ 97
386
+ 00:10:02,210 --> 00:10:05,070
387
+ difference ู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ pressure difference ุงู†ุง
388
+
389
+ 98
390
+ 00:10:05,070 --> 00:10:10,870
391
+ ู…ู…ูƒู† ุงู‚ูŠุต ุงู„ู„ู‰ ู‡ูˆ ุงู„ flow ุงู„ู…ุนู†ู‰ ุงู„ู„ู‰ ู‚ู„ุชู‡ ุนู†ุฏู‰ ุงู„
392
+
393
+ 99
394
+ 00:10:10,870 --> 00:10:16,750
395
+ flow Q ุจุณุชูˆู‰ K ููŠ A2 ููŠ ุงุชู†ูŠู† G ููŠ Delta V ุนู„ู‰ ุฑูˆ
396
+
397
+ 100
398
+ 00:10:16,750 --> 00:10:20,070
399
+ ููŠ
400
+
401
+ 101
402
+ 00:10:20,070 --> 00:10:24,470
403
+ ุงู„ุชุฌุงุฑุฉ ุงู„ูˆุงุญุฏุฉ ุงู„ู„ู‰ ุงู†ุง ู‡ุณุชุฎุฏู… ุงู„ู„ู‰ ู‡ูˆ orifice
404
+
405
+ 102
406
+ 00:10:24,470 --> 00:10:25,010
407
+ meter
408
+
409
+ 103
410
+ 00:10:31,830 --> 00:10:37,590
411
+ meta ุทุจุนุง ู‡ุฐู‡ ุงู„ุทุฑู‚ ู„ูŠุณ ูู‚ุท ู„ู„ู‚ูŠุงุณ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„
412
+
413
+ 104
414
+ 00:10:37,590 --> 00:10:46,410
415
+ application ุจุณูŠุทุฉ ุฌุฏุง ุฌุฏุง ู„ูˆ ุญุจูŠุช ู…ุซู„ุง ุฃุฎู„ุท
416
+
417
+ 105
418
+ 00:10:46,410 --> 00:10:54,110
419
+ ู…ูŠู‡ ู…ุน ู‡ูˆุง ุฃุฎู„ุท ู…ูŠู‡ ู…ุน ู‡ูˆุง ุจุฏุฎู„
420
+
421
+ 106
422
+ 00:10:54,110 --> 00:10:58,430
423
+ flow ุงู„ุดูƒู„ ู‡ุฐุงูˆ ุจุชูƒูˆู† ุนู†ุฏูŠ ุทุจุนุง ู‡ุฐู‡ ู…ุณูƒุฑุฉ ู…ู†
424
+
425
+ 107
426
+ 00:10:58,430 --> 00:11:00,790
427
+ ุงู„ุญุงู„ุฉ ุจุชูƒูˆู† ู‡ุฐู‡ ู…ุณูƒุฑุฉ ู…ุงููŠุด ุนู†ุฏูŠ .. ู…ุงููŠุด ุนู†ุฏูŠ
428
+
429
+ 108
430
+ 00:11:00,790 --> 00:11:05,930
431
+ manometer ุจุณ ูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ูุชุญุฉ ู‡ู†ุง ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„
432
+
433
+ 109
434
+ 00:11:05,930 --> 00:11:09,890
435
+ ู…ู† ู‡ู†ุง ูุจูŠุตูŠุฑ ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„ ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆูŠุฉ ูุจุฑูˆุญ
436
+
437
+ 110
438
+ 00:11:09,890 --> 00:11:16,390
439
+ ุงู„ู‡ูˆุงุก ุจุงู„ุฏูุน ุจุฎุด ุจุงู„ุฎู„ุท ู…ุน ุงู„ู…ูŠู‡ ุฃู†ุง ุนู…ู„ุชู‡ุง ุทุจุนุง
440
+
441
+ 111
442
+ 00:11:16,390 --> 00:11:21,590
443
+ ุจุณุญุจ ูƒู…ูŠุฉ ุจุนู…ู„ ุฎู„ุท ูŠุนู†ูŠ ุฎู„ุท ูŠุนู†ูŠ ุฎู„ุท ู…ุชุฌุงู†ุณ ุฌุฏุง ู…ุน
444
+
445
+ 112
446
+ 00:11:21,590 --> 00:11:25,230
447
+ ุงู„ู…ูŠู‡ ุชุทู„ุน ุงู„ู…ูŠู‡ ู‡ูŠูƒ ูู„ูู„ุฉ ุฒูŠ ุงู„ุฑุบุจุฉ ุจุชูƒูˆู† ููŠู‡ุง
448
+
449
+ 113
450
+ 00:11:28,060 --> 00:11:31,260
451
+ ู…ู…ูƒู† ุชุนู…ู„ู‡ุง ููŠ ุญุงู„ุฉ ุงู„ orifice ู…ุซู„ุง ุงู„ orifice ุงูˆ
452
+
453
+ 114
454
+ 00:11:31,260 --> 00:11:36,480
455
+ ุงู„ venturi ู‡ุฐูŠ ุจูŠูƒูˆู† ู…ุณูƒุฑุฉุŒ ุงู„ุถุบุท ูŠุจู‚ู‰ ู…ู†ุฎูุถ ุนุดุงู†
456
+
457
+ 115
458
+ 00:11:36,480 --> 00:11:39,920
459
+ ูŠุนูˆุฏ ู†ู‚ุต ุงู„ุถุบุท ุจูŠุฎุด ุงู„ู‡ูˆุงุกุŒ ุจู†ุฏูุน ูˆ ุจูŠุฎุด ู…ุน ุงู„ู…ุงุก
460
+
461
+ 116
462
+ 00:11:39,920 --> 00:11:46,860
463
+ ุงู„ุขู†
464
+
465
+ 117
466
+ 00:11:46,860 --> 00:11:54,630
467
+ ุงุญู†ุง ุงู„ุชุฌุฑุจุฉ ุจุชุงุนุชู†ุง ุงู„ู‡ุฏู ุงู† ู†ู‚ูŠุณุงู„ู€ K ู†ู‚ูŠุณ ุงู„ู€ K
468
+
469
+ 118
470
+ 00:11:54,630 --> 00:12:01,170
471
+ ุงู„ู„ูŠ ู‡ูˆ empirical coefficient ุงูˆ empirical flow
472
+
473
+ 119
474
+ 00:12:01,170 --> 00:12:07,830
475
+ coefficient ุทุจุนุง ู…ุนุฑูุชู†ุง ุงู„ู€ K ุจุชุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„
476
+
477
+ 120
478
+ 00:12:07,830 --> 00:12:12,730
479
+ device ูŠุนู†ูŠ ููŠ ุญุงู„ุฉ ุงู„ K ููŠ ุญุงู„ุฉ ุงู„ Venturi ู…ุฎุชู„ูุฉ
480
+
481
+ 121
482
+ 00:12:12,730 --> 00:12:17,490
483
+ ููŠ ุญุงู„ุฉ ุงู„ Orifice ุงู„ Orifice ููŠ ุนู†ุฏูŠ ุฃู†ูˆุงุน ููŠ
484
+
485
+ 122
486
+ 00:12:17,490 --> 00:12:21,640
487
+ sharp edgeููŠ straight edge, sharp edge ูŠุนู†ูŠ ุจูŠุฌูŠ
488
+
489
+ 123
490
+ 00:12:21,640 --> 00:12:28,760
491
+ ุฒูŠ ู‡ูŠูƒ high sharp edge ููŠ straight edge ุจูŠุฌูŠ ุนุฏู„
492
+
493
+ 124
494
+ 00:12:28,760 --> 00:12:35,340
495
+ ูุงู„ K ุจูŠุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ุชูุงุตูŠู„ ุงู„ู‡ู†ุฏุณูŠุฉ ู„ู„
496
+
497
+ 125
498
+ 00:12:35,340 --> 00:12:38,560
499
+ abstraction ุงู„ K ุจูŠุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ุชูุงุตูŠู„ ุงู„ู‡ู†ุฏุณูŠุฉ
500
+
501
+ 126
502
+ 00:12:38,560 --> 00:12:44,960
503
+ ู„ู„ abstraction ู…ุนุฑูุชู†ุง
504
+
505
+ 127
506
+ 00:12:44,960 --> 00:12:52,800
507
+ ู„ู„ K ุจูŠุนุทูŠู†ุง ูุฑุตุฉู†ุญุณุจ ุงู„ flow rate ุจุฃูƒุซุฑ ุฏู‚ุฉ ู„ุฃู†
508
+
509
+ 128
510
+ 00:12:52,800 --> 00:12:55,680
511
+ ุงู„ continuity equation ู„ุง ุชุนุทูŠู†ุง ุงู„ุญุณุจุฉ ุจุงู„ุธุจุท
512
+
513
+ 129
514
+ 00:12:55,680 --> 00:13:02,580
515
+ ูู‡ู†ุงูƒ ุงุฎุชู„ุงู ูู†ุญุณุจ ุงู„ K ู„ุงู†
516
+
517
+ 130
518
+ 00:13:02,580 --> 00:13:04,920
519
+ ุทุจุนุง ููŠ ุงู„ handbook of mechanical engineering
520
+
521
+ 131
522
+ 00:13:04,920 --> 00:13:12,600
523
+ ู…ูˆุฌูˆุฏ ู‚ูŠู… ู„ู„ K for different abstractions ุทุจุนุง ุงู„
524
+
525
+ 132
526
+ 00:13:12,600 --> 00:13:17,010
527
+ accurate measurement ู„ู„ K ุชุชุทู„ุจCareful
528
+
529
+ 133
530
+ 00:13:17,010 --> 00:13:23,830
531
+ experimental setup ุจูŠูƒูˆู† ู…ุนู…ู„ ุจุดูƒู„ ุตุญูŠุญ ุนุดุงู† ุงุญุณุจ
532
+
533
+ 134
534
+ 00:13:23,830 --> 00:13:32,150
535
+ ุงู„ coefficient K ู„ู„ abstraction ุชุญุช ุงู„ุฏุฑุงุณุฉ one
536
+
537
+ 135
538
+ 00:13:32,150 --> 00:13:39,970
539
+ setup ุนู†ุฏู‰ ู‡ู†ุง office meter ุฏู‡ ุงู‚ูŠุตุฏู‡ ุงู„ K ูุนู†ุฏู‰
540
+
541
+ 136
542
+ 00:13:39,970 --> 00:13:47,000
543
+ ู‡ุงูŠ ู…ุตุฏุฑ ุงู„ู…ูŠู‡ู…ุตุฏุฑ ุงู„ู…ูŠู‡ ุจุญุท ุงู†ุง ุทุจุนุง ุจูุชุญ ูุชุญุฉ
544
+
545
+ 137
546
+ 00:13:47,000 --> 00:13:50,600
547
+ ู‚ุจู„ ุงู„ abstraction ูˆ ุจุนุฏ ุงู„ abstraction ูˆ ุจูˆุตู„ ุงู„
548
+
549
+ 138
550
+ 00:13:50,600 --> 00:13:53,000
551
+ manometer ุงู„ manometer ูŠุนู†ูŠ ูƒุฃู†ู‡ ุฐุฆุจู‚ ุงูˆ ุงูŠ ุณุงุฆู„
552
+
553
+ 139
554
+ 00:13:53,000 --> 00:13:57,080
555
+ ุชุงู†ูŠ ุงู„ุขู† ุงู„ุถุบุท ู‡ู†ุง ุงุนู„ู‰ ู„ุงู† ูƒู†ุช ุฏู‡ ุงุนู„ู‰ ู‡ูŠุถุบุท ุนู„ู‰
556
+
557
+ 140
558
+ 00:13:57,080 --> 00:13:59,780
559
+ .. ู‡ูŠุถุบุท ู„ู„ fluid ู‡ูŠุทู„ุน ู…ู† ุงู„ุฌู‡ุฉ ุงู„ุชุงู†ูŠุฉ ู‡ุฐุง ุจูŠุตูŠุฑ
560
+
561
+ 141
562
+ 00:13:59,780 --> 00:14:04,380
563
+ ุนู†ุฏูŠ ุงูŠุด pressure difference pressure difference
564
+
565
+ 142
566
+ 00:14:04,380 --> 00:14:09,480
567
+ ู‡ุฐุง ู‡ูˆ ุงู„ manometer ุงู„ุงู† ุงู„ู…ูŠู‡ ุจุณ ุชุทู„ุน ุญู‚ูŠุต ุงู„
568
+
569
+ 143
570
+ 00:14:09,480 --> 00:14:16,820
571
+ flow rateู…ู…ูƒู† ุงุญุท ูˆุนุงุก ูˆ ุงุญุท ู…ูŠุฒุงู† ูˆ ุงู„ู…ูŠู‡ ุงู„ู„ู‰
572
+
573
+ 144
574
+ 00:14:16,820 --> 00:14:25,200
575
+ ุชูŠุฌูŠ ู‡ูŠู† ุงุญุณุจ ุฒู…ู† ูˆ ุงุญุณุจ ูƒ๏ฟฝ๏ฟฝูŠุฉ ู…ูŠู‡ ุนุงุฑู ุงู„
576
+
577
+ 145
578
+ 00:14:25,200 --> 00:14:30,360
579
+ dimensions ูŠุนู†ูŠ ู…ู† ุงู„ูˆุฒู† ูˆ ุงู„ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ุจุญุณุจ ุงูŠุด
580
+
581
+ 146
582
+ 00:14:30,360 --> 00:14:36,920
583
+ floret ูู…ุนู†ุงุชู‡ ุงู†ุง ุจู‚ูŠุณ delta P ู…ู† ุฎู„ุงู„ ุงู„ delta H
584
+
585
+ 147
586
+ 00:14:36,920 --> 00:14:38,180
587
+ ูˆ ุงู„ delta V
588
+
589
+ 148
590
+ 00:14:42,350 --> 00:14:51,870
591
+ ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ gamma ููŠ delta H delta H ุจุชุงุนุฉ ุงู„
592
+
593
+ 149
594
+ 00:14:51,870 --> 00:15:02,730
595
+ fluid ู‡ุฐุง ุงู„ gamma ุงู„ู„ูŠ ู‡ูŠ G ุซุฑูˆู‡ ูŠุนู†ูŠ ู„ูˆ ูƒุงู†
596
+
597
+ 150
598
+ 00:15:02,730 --> 00:15:06,490
599
+ ุงู„ุณุงุฆู„ ู‡ุฐุง ู…ุซู„ุง ุฐุฆุจู‚
600
+
601
+ 151
602
+ 00:15:08,180 --> 00:15:12,760
603
+ ุงู„ู„ูŠ ู‡ุชูƒูˆู† ุงู„ G ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ point ุชู…ุงู†ูŠุฉ ุณูุฑ ุณุชุฉ
604
+
605
+ 152
606
+ 00:15:12,760 --> 00:15:15,720
607
+ ุงู„ ุฑูˆุฉ ุจุชุงุนุฉ ุงู„ุฐุฆุจูƒ ู…ุซู„ุง ุฎู…ุณุงุด point something
608
+
609
+ 153
610
+ 00:15:15,720 --> 00:15:22,560
611
+ ุฎู…ุณุงุดุฉ ุฃู„ู ุงูˆ ุฎู…ุณุงุดุฉ
612
+
613
+ 154
614
+ 00:15:22,560 --> 00:15:28,920
615
+ ุฃู„ู ู…ุซู„ุง ู‚ุฏุฑู‡ุง ุจุชุญุณุจ ุฅูŠุงุด ู„ูˆ ูƒุงู† ู…ูŠู‡ ู‡ุชูƒูˆู† ุงู„ุฌุงู…ุจ
616
+
617
+ 155
618
+ 00:15:28,920 --> 00:15:32,140
619
+ ุงู„ุณุงูˆูŠุฉ ุชุณุนุฉ point ุชู…ุงู†ูŠุฉ ุณูุฑ ุณุชุฉ ุงู„ ุฑูˆุฉ ุจุชุงุนุฉ
620
+
621
+ 156
622
+ 00:15:32,140 --> 00:15:41,370
623
+ ุงู„ู…ูŠู‡ ุฅูŠุงุดุงู„ู ุชุทู„ุน ุชุณุนุฉ ุขู„ุงู ุชู…ุงู†ู…ูŠุฉ ูˆ ุณุชุฉ ู‡ุงุฏุฆ
624
+
625
+ 157
626
+ 00:15:41,370 --> 00:15:48,050
627
+ ุทุจุนุง ุงู†ุง ุจุงุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ ููŠ ุญุงุทุฉ ุฏุงูŠุจุฑุชุฑ ุญุงุฌุฒ ู„ู…ุง
628
+
629
+ 158
630
+ 00:15:48,050 --> 00:15:51,370
631
+ ูŠุจุฏุฃ ูŠู‚ูŠุณ ู„ุฃู† ู‡ูˆ ู…ุณูƒุฑ ู‡ู†ุง ูˆ ููŠ ุงู„ุจุฏุงูŠุฉ ุจูŠูƒูˆู† ู…ุณูƒุฑ
632
+
633
+ 159
634
+ 00:15:51,370 --> 00:15:55,130
635
+ ู‡ู†ุง ู„ุฅู†ู‡ ุญุงุณุณ ุงู† ุฏู‡ ู‡ูŠุทู ู‡ู†ุง ู„ู…ุง ูŠุจุฏุฃ ูŠุนู…ู„ ูŠูุญุต
636
+
637
+ 160
638
+ 00:15:55,130 --> 00:15:58,530
639
+ ุจูŠุฑูˆุญ ุจูŠุญูˆู„ ุจูŠุณูƒุฑ ู‡ุงุฏ ูˆ ุจูŠูุชุญู‡ุง ุงู„ู…ุงูŠูƒุณูŠุฑ ุจูŠู‡ุฏุฑ
640
+
641
+ 161
642
+ 00:15:58,530 --> 00:16:06,340
643
+ ุงุชุฌุงู‡ ุนุดุงู† ูŠู‚ูŠุณ ุงู„ูˆุฒู†ูู‡ุฐุง ู‡ูˆ one proposed setup
644
+
645
+ 162
646
+ 00:16:06,340 --> 00:16:13,860
647
+ for measurement of K ูุงู„
648
+
649
+ 163
650
+ 00:16:13,860 --> 00:16:16,460
651
+ calibration consist ุนู…ู„ูŠุฉ ุชุฌุฑุจุฉ ุจุชุชูƒูˆู† ู…ู†
652
+
653
+ 164
654
+ 00:16:16,460 --> 00:16:18,880
655
+ experimentally determining quantity of K by
656
+
657
+ 165
658
+ 00:16:18,880 --> 00:16:22,920
659
+ collecting flowing fluid ู…ู† ุฎู„ุงู„ ุฌู…ุน ุงู„ู…ูŠู‡ ููŠ tank
660
+
661
+ 166
662
+ 00:16:22,920 --> 00:16:27,180
663
+ ู„ูุชุฑุฉ ุฒู…ู†ูŠุฉ ู…ุนูŠู†ุฉ ู…ู† ุญุณุงุจ ุงู„ุญุฌู… ุงูˆ ุงู„ูƒุชู„ุฉ ุงู„ู„ูŠ
664
+
665
+ 167
666
+ 00:16:27,180 --> 00:16:33,220
667
+ ุฏุฎู„ุช ุจุญุณุจ ุงู„ flow rate ุจุชุงุน ุงู„ู…ูŠู‡ุงู„ูู„ูˆุฑูŠุช ู‡ูŠูƒูˆู†
668
+
669
+ 168
670
+ 00:16:33,220 --> 00:16:41,300
671
+ ุญุฌู… ุนู„ู‰ ุฒู…ุงู† ุญุฌู… ุนู„ู‰ ุฒู…ุงู† ุจุฑุถู‡ ุจุณุฌู„ ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท
672
+
673
+ 169
674
+ 00:16:41,300 --> 00:16:49,880
675
+ I record delta P ุงู„ู„ูŠ ู‡ูŠ P2 ู†ุงู‚ุต P1 ุจุณ ู‡ูŠ ุงู„ุงุตุงุญ
676
+
677
+ 170
678
+ 00:16:49,880 --> 00:17:01,340
679
+ P1 minus P2 ู…ุด P2 ู†ุงู‚ุต P1 ุงู„ูู„ูˆุฑูŠุช Q ุจูŠุณุงูˆูŠ
680
+
681
+ 171
682
+ 00:17:02,200 --> 00:17:07,920
683
+ massive flow rate ุงูˆ ู†ุญูƒูŠ ู„ู‡ ูˆุฒู† ุนุดุงู† ุงุญุงูˆู„ู‡ ู„ู…ุงุณ
684
+
685
+ 172
686
+ 00:17:07,920 --> 00:17:14,620
687
+ ุจู‚ุณู…ู‡ ุนู„ู‰ ุงูŠุด ุฎู„ู‘ูŠ
688
+
689
+ 173
690
+ 00:17:14,620 --> 00:17:20,200
691
+ ู‡ุฐุง ุชุฑูˆุณู‡ ู…ู‚ุณู…ู‡ ุนู„ู‰ ุฑู‚ ุจุชุญูˆู„ ู„ู‡ volume ุจู‚ุณู…ู‡ ุนู„ู‰
692
+
693
+ 174
694
+ 00:17:20,200 --> 00:17:24,720
695
+ ุฒู…ู† ุจุชุญูˆู„ู‡ ุงูŠุด ู„ volume ูŠุนู†ูŠ ู‡ุฐุง ุงู„ term ู‡ุฐุง ุงูŠุด
696
+
697
+ 175
698
+ 00:17:24,720 --> 00:17:37,000
699
+ volume ุตุญ ุจูŠุณุงูˆูŠ volumeุนู„ู‰ T ูˆ
700
+
701
+ 176
702
+ 00:17:37,000 --> 00:17:44,080
703
+ ุงู„ A2 ุงู„ู„ูŠ ู‡ูŠ ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน A2
704
+
705
+ 177
706
+ 00:17:44,080 --> 00:17:47,440
707
+ 7
708
+
709
+ 178
710
+ 00:17:47,440 --> 00:17:51,960
711
+ ุนู„ู‰ 4 D2 ุชุฑุจูŠุน
712
+
713
+ 179
714
+ 00:18:01,140 --> 00:18:10,300
715
+ ู…ุนู†ุงุชู‡ ุงู„ุดุบู„ุงุช ุงู†ุง ู‡ุนู…ู„ู‡ุง ู‚ูŠุงุณ ุนู†ุฏูŠ ู‡ุงูŠ ุงู„ู…ุนุงุฏู„ุฉ
716
+
717
+ 180
718
+ 00:18:10,300 --> 00:18:15,220
719
+ ุนู†ุฏูŠ ุงู†ุง
720
+
721
+ 181
722
+ 00:18:15,220 --> 00:18:22,560
723
+ ุนู†ุฏูŠ ุงู†ุง ุงุณุงุณุง ุงู„ Q ุงู„ Q
724
+
725
+ 182
726
+ 00:18:22,560 --> 00:18:27,340
727
+ ุจุงู„ุณุงูˆูŠ
728
+
729
+ 183
730
+ 00:18:27,340 --> 00:18:30,520
731
+ ุงู„ู„ูŠ ู‡ูˆ K A2
732
+
733
+ 184
734
+ 00:18:32,080 --> 00:18:42,140
735
+ ุงู„ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡ูŠ ุงู„ุชุฑุจูŠู‡ูŠ ู„ุงุชู†ูŠู† ุฌูŠ ููŠ ุฏู„ุชุง ุจูŠ ุนู„ู‰
736
+
737
+ 185
738
+ 00:18:42,140 --> 00:18:47,540
739
+ ุฑูˆู‡ ุตุญ ุงู„ุงู†
740
+
741
+ 186
742
+ 00:18:47,540 --> 00:18:56,380
743
+ ุงู„ a ุงู„ q ุญูƒูŠู†ุง ููŠ ุงู„ุณุงูˆูŠุฉ ุงู„ mass ุนู„ู‰ ุฑูˆู‡ ููŠ
744
+
745
+ 187
746
+ 00:18:56,380 --> 00:19:00,720
747
+ ุงู„ุฒู…ู† ุตุญ ูˆุงู„ a two
748
+
749
+ 188
750
+ 00:19:04,120 --> 00:19:11,940
751
+ Pi ุนู„ู‰ ุฃุฑุจุนุฉ ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจูŠุน
752
+
753
+ 189
754
+ 00:19:11,940 --> 00:19:13,900
755
+ ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจูŠุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน
756
+
757
+ 190
758
+ 00:19:13,900 --> 00:19:13,960
759
+ ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
760
+
761
+ 191
762
+ 00:19:13,960 --> 00:19:17,720
763
+ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
764
+
765
+ 192
766
+ 00:19:17,720 --> 00:19:19,460
767
+ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
768
+
769
+ 193
770
+ 00:19:19,460 --> 00:19:19,560
771
+ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
772
+
773
+ 194
774
+ 00:19:19,560 --> 00:19:25,820
775
+ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
776
+
777
+ 195
778
+ 00:19:25,820 --> 00:19:30,480
779
+ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ ุชุฑุจุน ุฏูŠ
780
+
781
+ 196
782
+ 00:19:30,480 --> 00:19:30,560
783
+ ุช
784
+
785
+ 197
786
+ 00:19:34,210 --> 00:19:39,190
787
+ ุฃู†ุง ุจุฏูŠ ุฃุญุณุจ K ุงู„ู€ K ู…ุนู†ุงุชู‡ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ุฃุฑุจุนุฉ
788
+
789
+ 198
790
+ 00:19:39,190 --> 00:19:55,430
791
+ ุงุฑุจุนุฉ ู‡ุชุฌู‡ูƒ W ุนู„ู‰ ุฑูˆ T by D ุชุฑุจูŠุน ููŠ
792
+
793
+ 199
794
+ 00:19:55,430 --> 00:20:00,590
795
+ ุงู„ุฌุฒุฑ
796
+
797
+ 200
798
+ 00:20:00,590 --> 00:20:01,310
799
+ ุงู„ุชุฑุจูŠุนูŠ
800
+
801
+ 201
802
+ 00:20:11,080 --> 00:20:21,060
803
+ ู„ุฃ ุงุชู†ูŠู† G ุงุชู†ูŠู† G ุจุณ ุซูˆุงู†ูŠ Delta P ุนู„ู‰ ุฑูˆุญ ุงู„ุงู†
804
+
805
+ 202
806
+ 00:20:21,060 --> 00:20:24,820
807
+ ู…ุงููŠุด
808
+
809
+ 203
810
+ 00:20:24,820 --> 00:20:32,360
811
+ .. ู…ุงููŠุด ุบู„ุท ุนู†ุฏ ู‡ู†ุง ู„ุญุธุฉ
812
+
813
+ 204
814
+ 00:20:32,360 --> 00:20:38,720
815
+ ุนู†ุฏ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† ุฌูŠ ูˆุงุญุฏ ุน ุงู„ุฌุฒูŠุฑุฉ ู‡ูˆ
816
+
817
+ 205
818
+ 00:20:38,720 --> 00:20:44,860
819
+ ุงู„ู„ูŠ ุจูŠุณูˆูŠ ุงู„ู…ุฏุฎู„
820
+
821
+ 206
822
+ 00:20:44,860 --> 00:20:51,280
823
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ raw ุฌูˆุง ุงู„ raw ุฌูˆุงูุตูุช ุงู„ูƒูŠุจุณูˆ ุงุฑุจุน
824
+
825
+ 207
826
+ 00:20:51,280 --> 00:20:55,300
827
+ ุฏุงุจู„ูŠูˆ ุนู„ู‰ body ุชุฑุจูŠุน T ุฌุฒุฑ ุชุฑุจูŠุน ุนู„ู‰ ูˆุงุญุฏ ุงุชู†ูŠู†
828
+
829
+ 208
830
+ 00:20:55,300 --> 00:21:00,280
831
+ ุฑูˆ ุฏู„ุชุง P ุฑุงุฌุนูˆู‡ุง ู‡ูˆ ุฏุฎู„ ู„ูŠุด ุนู„ู‰ ุงู„ุฌุฒุฑ ุฏุฎู„ูˆุง ุนู„ู‰
832
+
833
+ 209
834
+ 00:21:00,280 --> 00:21:07,620
835
+ ุงู„ุฌุฒุฑ ูŠุตูŠุฑ ุชุฑุจูŠุน ุทูŠุจ ุงู„ุฌุฒุฑ ุชุญุช ูู‡ุชูƒูˆู† ูƒูŠุจุณูˆ ุงุฑุจุน
836
+
837
+ 210
838
+ 00:21:07,620 --> 00:21:10,760
839
+ ุฏุงุจู„ูŠูˆ ุนู„ู‰ body ุชุฑุจูŠุน T ุฌุฒุฑ ุชุฑุจูŠุน ุนู„ู‰ ูˆุงุญุฏ ุงุชู†ูŠู†
840
+
841
+ 211
842
+ 00:21:10,760 --> 00:21:16,640
843
+ ุฑูˆ ุฏู„ุชุง P ู„ุฃู† ุงู„ parameters ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู…ุนุงุฏู„ุฉ
844
+
845
+ 212
846
+ 00:21:16,640 --> 00:21:24,220
847
+ ุงู†ุง ุจุฏูŠ ุงุญุณุจ K experimentallyK is a function of
848
+
849
+ 213
850
+ 00:21:24,220 --> 00:21:30,620
851
+ ุงู„ูˆุฒู† ูˆู‚ุทุฑ
852
+
853
+ 214
854
+ 00:21:30,620 --> 00:21:37,180
855
+ ุงู„ุงุฑูุณ ูˆุงู„ุฒู…ู† ูˆุงู„ูƒุซุงูุฉ
856
+
857
+ 215
858
+ 00:21:37,180 --> 00:21:44,360
859
+ Delta B ู…ุนู†ุงุชู‡
860
+
861
+ 216
862
+ 00:21:44,360 --> 00:21:49,080
863
+ ุงู„ major of K ุจุชุนุชู…ุฏ ุนู„ู‰ ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูˆุฒู† ูˆ
864
+
865
+ 217
866
+ 00:21:49,080 --> 00:22:00,230
867
+ Delta Bูˆ ุงู„ D ูˆ ุงู„ density ุฒุงุฏ ุงู„ time ุทูŠุจ
868
+
869
+ 218
870
+ 00:22:00,230 --> 00:22:04,510
871
+ ู‚ุจู„
872
+
873
+ 219
874
+ 00:22:04,510 --> 00:22:10,810
875
+ ู…ุง ู†ุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ ุนุงุฏุฉ ู„ู…ุง ุชุฌุฑูŠ ุงู„ุชุฌุฑุจุฉ ุจุฏูƒ ูŠุนู†ูŠ
876
+
877
+ 220
878
+ 00:22:10,810 --> 00:22:15,850
879
+ ุชุฏุฑุณ ุงู„ุชุฌุฑุจุฉ ุนุดุงู† ุชุชูˆู‚ุน ูŠุนู†ูŠ ุชุนุฑู ุฅูŠุด ุงู„ุนู†ุงุตุฑ
880
+
881
+ 221
882
+ 00:22:15,850 --> 00:22:21,710
883
+ ุงู„ุฃูƒุซุฑ ุชุฃุซูŠุฑุง ุนู„ู‰ ู†ุชูŠุฌุฉ ุงู„ุชุฌุฑุจุฉูˆุงู„ุนู†ุงุตุฑ ุฃูˆ
884
+
885
+ 222
886
+ 00:22:21,710 --> 00:22:25,630
887
+ ุงู„ู…ุชุบูŠุฑุงุช ุงู„ุฃู‚ู„ ุชุฃุซูŠุฑุง ุงูˆ ุงู„ุนู†ุงุตุฑ ุงู„ุชูŠ ู„ูŠุณุช data
888
+
889
+ 223
890
+ 00:22:25,630 --> 00:22:31,110
891
+ ุฃู‡ู…ูŠุฉ ูŠุนู†ูŠ ุชุฃุซูŠุฑู‡ุง ุนู„ู‰ ุฅู†ุชุงุฌ ุงู„ุชุฌุฑุจุฉ ูŠุนู†ูŠ ุจุฏูƒ ุชุดูˆู
892
+
893
+ 224
894
+ 00:22:31,110 --> 00:22:35,850
895
+ ู…ูŠู† ุงู„ุดุบู„ุงุช ุจุชูƒูˆู† ููŠู‡ุง ุฏู‚ูŠู‚ accurate and precise
896
+
897
+ 225
898
+ 00:22:35,850 --> 00:22:41,130
899
+ ูˆููŠ ุดุบู„ุงุช ุงู† ุงู„ุฏู‚ุฉ ูˆ ุงู„ precision ููŠู‡ุง ู‡ุชูƒูˆู† ู…ุถูŠุฉ
900
+
901
+ 226
902
+ 00:22:41,130 --> 00:22:48,750
903
+ ุนู„ู‰ ุงู„ูˆู‚ุชูู‡ูŠ ุงู„ู‡ุฏู ู…ู† ุงู†ูƒ ุชุนู…ู„ some analysis ู‚ุจู„
904
+
905
+ 227
906
+ 00:22:48,750 --> 00:22:55,110
907
+ ุฅุฌุฑุงุก ุงู„ุชุฌุฑุจุฉ ูˆ ุงู„ู‡ุฏู ู„ู…ุง ุฃุนุฑู ุฅูŠุด ุงู„ู…ุชุบูŠุฑุงุช
908
+
909
+ 228
910
+ 00:22:55,110 --> 00:22:59,750
911
+ ุงู„ุฃูƒุซุฑ ุชุฃุซูŠุฑุง ุฃุฑูƒุฒ ุนู„ูŠู‡ุง ูˆ ุงู„ุนู†ุงุตุฑ ุงู„ุฃู‚ู„ ุฃูˆ
912
+
913
+ 229
914
+ 00:22:59,750 --> 00:23:05,510
915
+ ุงู„ุชุฃุซูŠุฑู‡ุง ู„ูŠุณ ุฐูˆ ู‚ูŠู…ุฉ ู…ุงุชุชู…ุด ููŠู‡ุง ุจุฏุฑุฌุฉ ุฃุนู„ู‰ ุฌุฏุง
916
+
917
+ 230
918
+ 00:23:05,510 --> 00:23:09,330
919
+ ุฃู‡ุชู… ููŠู‡ุง ุจุณ ู…ุด ุจุฏุฑุฌุฉ ุฃุนู„ู‰ ุฌุฏุง ู„ุฃู† ุงู„ุงู‡ุชู…ุงู… ููŠ
920
+
921
+ 231
922
+ 00:23:09,330 --> 00:23:12,350
923
+ ุงู„ุดุบู„ ู‡ุฐู‡ ู…ุด ุฌุฑุฏ ุงู‡ุชู…ุงู… ูŠุนู†ูŠ ุฃู†ุง ุญุจูŠุช ุงู„ variable
924
+
925
+ 232
926
+ 00:23:13,280 --> 00:23:19,920
927
+ ูŠุนู†ูŠ cost ุชูƒู„ูุฉ ุตุญุŸ
928
+
929
+ 233
930
+ 00:23:19,920 --> 00:23:23,760
931
+ ุงู„ุงู† ููŠ ุนู†ุฏูŠ both bias and precision errors should
932
+
933
+ 234
934
+ 00:23:23,760 --> 00:23:26,800
935
+ be considered ูŠุนู†ูŠ ุฃู†ุง ุจุฏูŠ ุฃุฎุฏ ููŠ ุงู„ุงุนุชุจุงุฑุงู„
936
+
937
+ 235
938
+ 00:23:26,800 --> 00:23:33,340
939
+ precision ูˆ ุงู„ bias ุงูˆ ุงู„ systematic errors ุงู„
940
+
941
+ 236
942
+ 00:23:33,340 --> 00:23:38,940
943
+ precision errors ู‡ูŠ ุจุชู…ุซู„ ูŠุฏูŠุด ุงู†ุง ุจุนูŠุฏ ุนู† ุงู„
944
+
945
+ 237
946
+ 00:23:38,940 --> 00:23:42,540
947
+ central value of measurement central value of
948
+
949
+ 238
950
+ 00:23:42,540 --> 00:23:47,840
951
+ measurement ูŠุฏูŠุด ุงุชุดุชุช ุนู†ู‡ุง ุงู„ bias ุฏู‡ ุจูŠุนุจุฑ ุนู†
952
+
953
+ 239
954
+ 00:23:47,840 --> 00:23:51,280
955
+ some fixed amount of error some fixed amount ุณูˆุงุก
956
+
957
+ 240
958
+ 00:23:51,280 --> 00:23:52,080
959
+ ูŠู…ูŠู† ุงูˆ ุดู…ุงู„
960
+
961
+ 241
962
+ 00:23:55,720 --> 00:23:59,600
963
+ ุงู„ุงู† since we have no samples ู…ุงููŠุด ุนู†ุฏู‰ ุนูŠู†ุงุช
964
+
965
+ 242
966
+ 00:23:59,600 --> 00:24:06,280
967
+ ูƒุจูŠุฑุฉ ู‚ู„ู‚ุงุช ูƒุชูŠุฑ for statistical analysis we can
968
+
969
+ 243
970
+ 00:24:06,280 --> 00:24:11,860
971
+ rely ุงูˆ
972
+
973
+ 244
974
+ 00:24:11,860 --> 00:24:16,720
975
+ we can only estimate ู…ู…ูƒู† ู†ุนู…ู„ ุชู‚ุฏูŠุฑ ุงู„ expected
976
+
977
+ 245
978
+ 00:24:16,720 --> 00:24:22,460
979
+ size of potential precision errors using
980
+
981
+ 246
982
+ 00:24:22,460 --> 00:24:27,560
983
+ estimations for the standard deviationูŠุนู†ูŠ ุงุญู†ุง
984
+
985
+ 247
986
+ 00:24:27,560 --> 00:24:30,900
987
+ ู‡ู†ุง ุญุงูˆู„ู†ุง single sample uncertainty estimate
988
+
989
+ 248
990
+ 00:24:30,900 --> 00:24:38,400
991
+ single sample uncertainty estimate ุงูˆู„
992
+
993
+ 249
994
+ 00:24:38,400 --> 00:24:41,380
995
+ ุงู„ุดูŠ ู‡ู†ุณูˆู‡ first estimate single sample precision
996
+
997
+ 250
998
+ 00:24:41,380 --> 00:24:44,560
999
+ and bias uncertainty in each measured variable
1000
+
1001
+ 251
1002
+ 00:24:44,560 --> 00:24:48,560
1003
+ then propagate these uncertainties into K
1004
+
1005
+ 252
1006
+ 00:24:52,320 --> 00:24:59,640
1007
+ is a function of w dt rho delta p ูˆูƒู„ ูˆุงุญุฏุฉ ููŠู‡ุง
1008
+
1009
+ 253
1010
+ 00:24:59,640 --> 00:25:04,160
1011
+ ุฏูŠ ููŠู‡ุง ุฅูŠุด uncertainty ุณูˆุงุก ูƒุงู†ุช bias uncertainty
1012
+
1013
+ 254
1014
+ 00:25:04,160 --> 00:25:08,700
1015
+ ุฃูˆ precision uncertainty ูˆุงุญู†ุง ุฃุฎุฏู†ุง ู…ุนุงุฏู„ุงุช ุฅุฐุง
1016
+
1017
+ 255
1018
+ 00:25:08,700 --> 00:25:11,340
1019
+ ุนุฑู ุงู„ uncertainties ููŠ ู‡ุฐู‡ ุงู„ variables ูƒูŠู ูŠุญุตู„
1020
+
1021
+ 256
1022
+ 00:25:11,340 --> 00:25:14,880
1023
+ uncertainty ููŠ ุงู„ K ูู‡ุฐุง ุจู†ุงุช propagation of
1024
+
1025
+ 257
1026
+ 00:25:14,880 --> 00:25:21,600
1027
+ uncertainty in Kูุงู†ุง ุจุชุนู…ู„ estimates ุฃูˆู„ ุดูŠ ู„ู„
1028
+
1029
+ 258
1030
+ 00:25:21,600 --> 00:25:31,820
1031
+ uncertainties ููŠ w,d,t ูˆ rho ูˆ delta P ู‡ุจุฏุฃ
1032
+
1033
+ 259
1034
+ 00:25:31,820 --> 00:25:35,660
1035
+ ููŠ ุงู„ weight ุงู„
1036
+
1037
+ 260
1038
+ 00:25:35,660 --> 00:25:42,610
1039
+ weightุงู†ุง ุจุงูˆุฒู† .. ุจุงูˆุฒู† ุงู„ู…ูŠ ุงู†ุง ุตุญุŸ ู…ุณุชุฎุฏู… ุงูŠุงุด
1040
+
1041
+ 261
1042
+ 00:25:42,610 --> 00:25:47,670
1043
+ ู…ูŠุฒุงู† ุงู„ weight is measured with a platform scale
1044
+
1045
+ 262
1046
+ 00:25:47,670 --> 00:25:51,170
1047
+ ูŠุนู†ูŠ ุงู„ scale ู…ูŠุฒุงู† ูˆ ุงู„ู…ูŠ ุจุชุญูˆุด ุจูŠูƒูˆู† ูŠุนุทูŠู†ูŠ
1048
+
1049
+ 263
1050
+ 00:25:51,170 --> 00:25:52,950
1051
+ ู‚ุฑุงุกุฉ ู„ุงูŠุงุด ู„ู„ูˆุฒู†
1052
+
1053
+ 264
1054
+ 00:25:56,130 --> 00:25:59,690
1055
+ ุจุฏูŠ ุงุณุฃู„ ุงูุณุฑ what bias uncertain exist in the
1056
+
1057
+ 265
1058
+ 00:25:59,690 --> 00:26:04,870
1059
+ scale measurement ุงูŠุด ู‚ูŠู…ุฉ ุงู„ bias ูŠุนู†ูŠ ุงูŠุด ู‚ูŠู…ุฉ
1060
+
1061
+ 266
1062
+ 00:26:04,870 --> 00:26:06,730
1063
+ ุงู„ offset ููŠ ุงู„ู‚ุฑุงุฑ ู…ุซู„ุง ู…ู…ูƒู† ุชูƒูˆู† ุฏุงูŠู…ุง ุชู‚ูˆู„
1064
+
1065
+ 267
1066
+ 00:26:06,730 --> 00:26:12,070
1067
+ offset ููŠ ุงู„ู…ูˆุฌุจ ุงูˆ offset ููŠ ุงู„ุณุงู„ุจ offset ููŠ
1068
+
1069
+ 268
1070
+ 00:26:12,070 --> 00:26:16,290
1071
+ ุงู„ู…ูˆุฌุจ ุงูˆ offset ููŠ ุงู„ุณุงู„ุจ ูŠุนู†ูŠ ููŠ ุงู„ calibration
1072
+
1073
+ 269
1074
+ 00:26:17,490 --> 00:26:22,350
1075
+ ููŠ ุฏุงูŠู…ุง ุฏูŠ some fixed amount of error ู…ู…ูƒู† due to
1076
+
1077
+ 270
1078
+ 00:26:22,350 --> 00:26:26,950
1079
+ the mechanism of the scale ู‚ุงู„ูŠุฉ ุงู„ูˆุฒู† ุจุชุนู…ู„ูŠ ู‡ุฐูŠ
1080
+
1081
+ 271
1082
+ 00:26:26,950 --> 00:26:33,210
1083
+ ุงู„ bias ุงูˆ ุงู„ุงู†ุญุฑุงู ู…ุนู†ุงุชู‡ ุจุฏูŠ ุงุณุฃู„ู‡ what bias
1084
+
1085
+ 272
1086
+ 00:26:33,210 --> 00:26:36,650
1087
+ uncertainty exist in the scale measurement has the
1088
+
1089
+ 273
1090
+ 00:26:36,650 --> 00:26:40,290
1091
+ scales calibration been checked ู‡ู„ ุงู†ุช ุนู…ู„ุชู„ู‡
1092
+
1093
+ 274
1094
+ 00:26:40,290 --> 00:26:44,370
1095
+ calibration ู„ู„ุฌู‡ุงุฒ ุนุดุงู† ุชุนุฑู ุงู„ bias uncertainty
1096
+
1097
+ 275
1098
+ 00:26:44,370 --> 00:26:48,190
1099
+ ุชุนุฑู ุงู„ zero offsetูˆุงู„ู„ู‡ somebody else ุนู…ู„ ุงู„
1100
+
1101
+ 276
1102
+ 00:26:48,190 --> 00:26:50,790
1103
+ calibration ูˆู…ุนุทูŠู„ูƒ ุจูŠุงู†ุงุช ุญูƒูŠู„ูƒ ูˆุงู„ู„ู‡ ุงู„
1104
+
1105
+ 277
1106
+ 00:26:50,790 --> 00:26:55,290
1107
+ linearity ูƒุฐุง ุงู„ zero offset ูƒุฐุง ุงู„ hysteresis ูƒุฐุง
1108
+
1109
+ 278
1110
+ 00:26:55,290 --> 00:26:59,270
1111
+ ู…ุงู†ุนุชู‡ has the scales calibration been checked by
1112
+
1113
+ 279
1114
+ 00:26:59,270 --> 00:27:04,030
1115
+ yourself ูƒ experimenter ุงูˆ how recently and
1116
+
1117
+ 280
1118
+ 00:27:04,030 --> 00:27:06,910
1119
+ against what standard ู„ู…ุง ุงู†ุง ุงุนู…ู„ calibration of
1120
+
1121
+ 281
1122
+ 00:27:06,910 --> 00:27:11,410
1123
+ some device ุจุนู…ู„ against some standard or against
1124
+
1125
+ 282
1126
+ 00:27:11,410 --> 00:27:18,820
1127
+ some device that ismore accurate than ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ
1128
+
1129
+ 283
1130
+ 00:27:18,820 --> 00:27:24,020
1131
+ ุฃู†ุง ุจุณุชุฎุฏู…ู‡ ูŠุนู†ูŠ ุฅุฐุง ุจุฏุฃ ุฃุนู…ู„ ู…ุนุงูŠุฑุฉ ู„ุฌู‡ุงุฒ ู„ู„ูˆุฒู†
1132
+
1133
+ 284
1134
+ 00:27:24,020 --> 00:27:26,760
1135
+ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ rule of thumb ู„ุงุฒู… ูŠูƒูˆู† ุงู„ answer
1136
+
1137
+ 285
1138
+ 00:27:26,760 --> 00:27:29,500
1139
+ ุชู†ุชู‡ูŠ ููŠ ุงู„ุฌู‡ุงุฒ ุงู„ู…ุนุงูŠุฑุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุงู„ุฃูƒุซุฑ ุฏู‚ุฉ
1140
+
1141
+ 286
1142
+ 00:27:29,500 --> 00:27:36,520
1143
+ ุชูƒูˆู† at least at most ุงู„ answer ุชูƒูˆู† ุฃุดุฑ ุงู„ู„ูŠ ู‡ูˆ
1144
+
1145
+ 287
1146
+ 00:27:36,520 --> 00:27:40,360
1147
+ ุงู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ูŠุนู†ูŠ ู‡ูˆ ุชู‚ุฑูŠุจุง ุฃูƒุซุฑ ุฏู‚ุฉ ุจุนุดุฑ
1148
+
1149
+ 288
1150
+ 00:27:40,360 --> 00:27:42,680
1151
+ ุฃุถุนุงู ุทูŠุจ
1152
+
1153
+ 289
1154
+ 00:27:45,650 --> 00:27:48,510
1155
+ presumably ูŠุนู†ูŠ ุนู„ู‰ ูุฑุถูŠุฉ we have made some sort
1156
+
1157
+ 290
1158
+ 00:27:48,510 --> 00:27:51,150
1159
+ of check ุงุญู†ุง ุนู…ู„ู†ุง check ุนู…ู„ุช calibration ู„ู„ุฌู‡ุงุฒ
1160
+
1161
+ 291
1162
+ 00:27:51,150 --> 00:27:56,510
1163
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… gauge blocks ุทูŠุจ
1164
+
1165
+ 292
1166
+ 00:27:56,510 --> 00:28:00,410
1167
+ if not user should include such data ูŠุนู†ูŠ if not
1168
+
1169
+ 293
1170
+ 00:28:00,410 --> 00:28:02,730
1171
+ ุจูุชุญ ุงู„ catalog ุจุชุงุน ุงู„ .. ุงุฐุง ู…ุงุนุฑูุด ุงู†ุง
1172
+
1173
+ 294
1174
+ 00:28:02,730 --> 00:28:05,470
1175
+ calibration ู„ุญุงู„ูŠ ุจูุชุญ ุงู„ catalog ุจุชุงุน ุงู„ู…ุตู†ุน
1176
+
1177
+ 295
1178
+ 00:28:05,470 --> 00:28:10,670
1179
+ ุจูŠูƒูˆู† ุญุงุทุจ ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„ .. ุงู„ู„ูŠ ู‡ูˆ ุงู„ zero offset
1180
+
1181
+ 296
1182
+ 00:28:10,670 --> 00:28:13,930
1183
+ ูˆ ุงู„ uncertainty ูƒุฌู‡ุงุฒ ุงูŠ ู…ุตู†ุน ู„ุงุฒู… ูŠุญุท ุงู„ู…ุนู„ูˆู…ุงุช
1184
+
1185
+ 297
1186
+ 00:28:13,930 --> 00:28:20,930
1187
+ ู‡ุฐู‡let us say ุงู†ุง ุจุชู‚ูˆู„ูƒ ุฒูŠ ู…ุง ู‡ุชุจุญุซ ูƒูŠู ุชููƒุฑ ููŠ
1188
+
1189
+ 298
1190
+ 00:28:20,930 --> 00:28:25,170
1191
+ ุฅุฌุฑุงุก ุฃูŠ ุชุฌุงุฑุจ let us say that in our judgment ููŠ
1192
+
1193
+ 299
1194
+ 00:28:25,170 --> 00:28:29,790
1195
+ ุชู‚ุฏูŠุฑู†ุง an uncertainty of plus or minus one
1196
+
1197
+ 300
1198
+ 00:28:29,790 --> 00:28:37,070
1199
+ percent is justified ูŠุนู†ูŠ ู†ุณุจุฉ ุฎุทุฃ ุฒุงุฏุฉ ูˆุงุญุฏ ููŠ
1200
+
1201
+ 301
1202
+ 00:28:37,070 --> 00:28:42,830
1203
+ ุงู„ู…ูŠุฉุชุนุชุจุฑ ุฅูŠุดุŸ ู…ู‚ุจูˆู„ุฉ with a confidence of about
1204
+
1205
+ 302
1206
+ 00:28:42,830 --> 00:28:46,390
1207
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ุจุฏุฑุฌุฉ ุชูŠู‚ู† ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ
1208
+
1209
+ 303
1210
+ 00:28:46,390 --> 00:28:51,270
1211
+ ุจุชูƒูˆู† ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉ plus or minus ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1212
+
1213
+ 304
1214
+ 00:28:51,270 --> 00:28:57,130
1215
+ ุงู„ู…ุนู†ู‰ ููŠ ุงู„ weight ู†ุญูƒูŠ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ plus or
1216
+
1217
+ 305
1218
+ 00:28:57,130 --> 00:28:58,070
1219
+ minus ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1220
+
1221
+ 306
1222
+ 00:29:06,070 --> 00:29:11,670
1223
+ ุงู„ bias uncertainty ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุงู„ุซุงุจุช ููŠ ู‚ุฑุงุกุฉ
1224
+
1225
+ 307
1226
+ 00:29:11,670 --> 00:29:17,410
1227
+ ุงู„ูˆุฒู† is dependent to some degree on the magnitude
1228
+
1229
+ 308
1230
+ 00:29:17,410 --> 00:29:21,710
1231
+ of weight measured relative to the scale range
1232
+
1233
+ 309
1234
+ 00:29:21,710 --> 00:29:25,090
1235
+ ูŠุนู†ูŠ ุงุฐุง ุนู†ุฏู‰ ุงู„ scale range ู…ู† ุณูุฑ ู„ู…ูŠุฉ ูƒูŠู„ูˆ
1236
+
1237
+ 310
1238
+ 00:29:25,090 --> 00:29:34,300
1239
+ ู…ุชูˆู‚ุน ุงู„ุฎุทุฃ ุจุฒูŠุฏ ูƒู„ ู…ุง ุฒุงุฏ ุงู„ูˆุฒู† ุตุญุŸุจุฒูŠุฏ ูƒู„ู‡ ุจุชุฒูŠุฏ
1240
+
1241
+ 311
1242
+ 00:29:34,300 --> 00:29:40,580
1243
+ ุงู„ู„ูŠ ู‡ูˆ absolute value ุจุชุงุนุชู‡ ุจุชุฒูŠุฏ ุงู„
1244
+
1245
+ 312
1246
+ 00:29:40,580 --> 00:29:43,060
1247
+ precision uncertainty in weight measurement will
1248
+
1249
+ 313
1250
+ 00:29:43,060 --> 00:29:47,240
1251
+ be caused by ุงู„ precision ุงู„ู„ูŠ ู‡ูŠ ุงู„ุชุดุชุช ุนู† ุงู„
1252
+
1253
+ 314
1254
+ 00:29:47,240 --> 00:29:51,720
1255
+ central value ู„ู„ู‚ุฑุงุกุงุช ู…ู…ูƒู† ูŠูƒูˆู† ู…ุตุฏุฑู‡ุง ุงู„ุชุงู„ูŠ
1256
+
1257
+ 315
1258
+ 00:29:51,720 --> 00:29:57,460
1259
+ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ุงู„ู…ูŠุฒุงู† ู‚ุฑุงุกุชู‡ ุจุณ ุชุชุบูŠุฑ ุจุณุฑุนุฉ ูููŠ
1260
+
1261
+ 316
1262
+ 00:29:57,460 --> 00:30:01,380
1263
+ ุงู„ reading out ู…ู…ูƒู† ุชู‚ุฑุฃ ูŠุนู†ูŠ ุงุนู„ู‰ ุงูˆ ุงู‚ู„ุงู„ู„ูŠ ู‡ูŠ
1264
+
1265
+ 317
1266
+ 00:30:01,380 --> 00:30:05,360
1267
+ read .. reading .. reading error in the scale ุฃูˆ
1268
+
1269
+ 318
1270
+ 00:30:05,360 --> 00:30:12,140
1271
+ ุงู„ hysteresisุŒ ุฅูŠุด ูŠุนู†ูŠ ุงู„ hysteresisุŸ ุนู„ู‰ ุตูˆุชูƒ
1272
+
1273
+ 319
1274
+ 00:30:12,140 --> 00:30:17,780
1275
+ physical
1276
+
1277
+ 320
1278
+ 00:30:17,780 --> 00:30:23,780
1279
+ ุฅูŠุด ูŠุนู†ูŠุŸ ู‡ูŠ ุงู„ูุฑู‚ ููŠ ุงู„ู‚ุฑุงุกุงุช ุจูŠู† ุงู„ loading ูˆ ุงู„
1280
+
1281
+ 321
1282
+ 00:30:23,780 --> 00:30:28,410
1283
+ unloadingุญุงุณู ุงู„ู…ูŠูƒุงู†ุฒู… ุจุชุงุนุฉ ุงู„ .. ุงูŠูˆุฉ ูุงู„ ..
1284
+
1285
+ 322
1286
+ 00:30:28,410 --> 00:30:30,530
1287
+ ุจูŠู† ุงู„ loading ูˆ ุงู„ unloading ูŠูƒูˆู† ููŠ ุนู†ุฏูƒ .. ููŠ
1288
+
1289
+ 323
1290
+ 00:30:30,530 --> 00:30:33,990
1291
+ ูุฑุงุบุงุช ููŠ ุงู„ .. ุงุฐุง ููŠ truth ู…ุซู„ุง ุงูˆ ููŠ friction
1292
+
1293
+ 324
1294
+ 00:30:33,990 --> 00:30:38,810
1295
+ ู…ู…ูƒู† ุชุนู…ู„ูŠ hysteresis ุงู„ friction ู†ูุณู‡ ููŠ ุงู„ุฌู‡ุงุฒ
1296
+
1297
+ 325
1298
+ 00:30:38,810 --> 00:30:43,530
1299
+ ุงุฐุง ููŠ ู…ุซู„ุง ุดุบู„ุงุช ู…ุชุญุฑูƒุฉ sliding ู…ู…ูƒู† ุชุนู…ู„ูŠ ุงูŠุด
1300
+
1301
+ 326
1302
+ 00:30:43,530 --> 00:30:47,390
1303
+ error ุงูˆ ุงู„ backlash ููŠ ุงู„ skill mechanism ู…ู…ูƒู†
1304
+
1305
+ 327
1306
+ 00:30:47,390 --> 00:30:48,430
1307
+ ุชุนู…ู„ูŠ ุงูŠุด error
1308
+
1309
+ 328
1310
+ 00:30:51,100 --> 00:30:55,420
1311
+ ุทูŠุจ size or standard deviation of the reading
1312
+
1313
+ 329
1314
+ 00:30:55,420 --> 00:31:00,200
1315
+ error ู„ุฃู† ููŠ ุญุงุฌุฉ reading error ุงู„ุงู†ุญุฑุงู ุงู„ู…ูŠุงุฑูŠ
1316
+
1317
+ 330
1318
+ 00:31:00,200 --> 00:31:12,400
1319
+ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ resolution ู„ู„ู‚ุฑุงุกุงุช ู‡ู„ ุฑุฒูŠุด ู…ุซู„ุง ู†ุต
1320
+
1321
+ 331
1322
+ 00:31:12,400 --> 00:31:19,740
1323
+ ูƒูŠู„ูˆ ูˆู„ุง ุนุดุฑ ุฌุฑุงู… ูˆู„ุง ุฎู…ุณ ุฌุฑุงู… ูˆู„ุง ูˆุงุญุฏ ุฌุฑุงู…
1324
+
1325
+ 332
1326
+ 00:31:23,380 --> 00:31:27,700
1327
+ perhaps point one percent error covers one
1328
+
1329
+ 333
1330
+ 00:31:27,700 --> 00:31:32,860
1331
+ standard deviation in the scale ูู‡ูˆ ุงุนุชุจุฑ ุงู†ู‡ ุงุฐุง
1332
+
1333
+ 334
1334
+ 00:31:32,860 --> 00:31:35,060
1335
+ one standard deviation one standard ูŠุนู†ูŠ plus
1336
+
1337
+ 335
1338
+ 00:31:35,060 --> 00:31:38,400
1339
+ sigma minus sigma ู‡ุฐุง ุจูŠุบุทูŠ ุจูŠุนุทูŠู†ุง ุฏุฑุฌุฉ ุชูŠู‚ู† ุงูƒู…
1340
+
1341
+ 336
1342
+ 00:31:40,340 --> 00:31:46,740
1343
+ 68% plus minus two sigma ูŠุนู†ูŠ ุนู„ู‰ ุงู„ุดู…ุงู„ ุงู„
1344
+
1345
+ 337
1346
+ 00:31:46,740 --> 00:31:49,920
1347
+ central value two sigma ุนู„ู‰ ูŠู…ูŠู†ู‡ุง two sigma
1348
+
1349
+ 338
1350
+ 00:31:49,920 --> 00:31:55,720
1351
+ ุจูŠุนุทูŠู†ุง ุฏุฑุฌุฉ ุชูŠู‚ู† ุชู‚ุฑูŠุจุง 95% ุงู„ plus or minus
1352
+
1353
+ 339
1354
+ 00:31:55,720 --> 00:31:59,820
1355
+ ุชู„ุงุชุฉ sigma ูƒู„ ู…ูˆุณูŠู‚ู‰ ุงู„ range ุฏุฑุฌุฉ ุชูŠู‚ู† ุชุญุช
1356
+
1357
+ 340
1358
+ 00:31:59,820 --> 00:32:05,930
1359
+ ุงู„ุดู…ุงู„ู‡ุง ุจุชุฒูŠุฏ ูƒู„ ู…ุง ุฃุญุดุฑ ุฃูƒุชุฑุจุฏูŠู„ ุฏุฑุฌุงุช ุงู„ุชูŠู‚ู†
1360
+
1361
+ 341
1362
+ 00:32:05,930 --> 00:32:10,310
1363
+ ูู‡ูˆ ู‡ู†ุง ุงู„ standard deviation of reading error
1364
+
1365
+ 342
1366
+ 00:32:10,310 --> 00:32:14,250
1367
+ ูŠุนู†ูŠ ุงุนุชุจุฑู‡ุง point one percent
1368
+
1369
+ 343
1370
+ 00:32:16,030 --> 00:32:19,310
1371
+ hysteresis friction and backlash should be
1372
+
1373
+ 344
1374
+ 00:32:19,310 --> 00:32:23,850
1375
+ negligible ู…ู…ูƒู† ุงุญู…ู„ู‡ุง if the scale is in good
1376
+
1377
+ 345
1378
+ 00:32:23,850 --> 00:32:27,370
1379
+ condition ูƒุงู† ุฌุฏูŠุฏ ูˆูˆุถุนูŠุชู‡ ูƒูˆูŠุณุฉ ู…ู…ูƒู† ุงุนู…ู„ู‡ุง
1380
+
1381
+ 346
1382
+ 00:32:27,370 --> 00:32:33,430
1383
+ however if these effects are observed ุงู† ุจุนุฏ ูุชุฑุฉ
1384
+
1385
+ 347
1386
+ 00:32:33,430 --> 00:32:37,090
1387
+ ู…ู† ุงุณุชุฎุฏุงู… ุงู„ู‚ู„ุจุฒุงู†ุด ุณุชุชู„ุงุญุธ ุงุฎุชู„ุงูุงุช ููŠ ุงู„ู‚ุฑุงุฆุงุช
1388
+
1389
+ 348
1390
+ 00:32:37,090 --> 00:32:43,830
1391
+ ู„ุงุฒู… ุชุฎุฏู‡ุง ููŠู‡ุง ุงู„ุงุนุชุจุงุฑุงุช ููŠู‡ุง ุงู„ุงุนุชุจุงุฑ ู‡ุฐุง
1392
+
1393
+ 349
1394
+ 00:32:43,830 --> 00:32:44,590
1395
+ ุจุงู„ู†ุณุจุฉ ู„ูŠุด
1396
+
1397
+ 350
1398
+ 00:32:47,940 --> 00:32:58,740
1399
+ ู„ู„ูˆุฒู† ุงู„ diameter ู‡ุฐุง ุงู„ู‚ุทุฑ ุงู„ู‚ุทุฑ
1400
+
1401
+ 351
1402
+ 00:32:58,740 --> 00:33:02,920
1403
+ ุจุชุงุน ุงู„ office ู„ุงุฒู… ุงู†ู‚ูŠุฒู‡ ุงู†ุง ู…ุจูŠู† ุนู†ุฏู‡ูŠู† ุงุญู†ุง
1404
+
1405
+ 352
1406
+ 00:33:02,920 --> 00:33:07,700
1407
+ ู…ูุชุฑุถูŠู† ู„ู„ office sharp edge ูŠุนู†ูŠ ุดุงูŠููŠู† ุนู†ุฏู‡ูŠู†
1408
+
1409
+ 353
1410
+ 00:33:07,700 --> 00:33:14,710
1411
+ sharp edge ุนู†ุฏู‡ูŠู† sharp edge ู…ู…ูƒู† ุงุณุชุฎุฏู…inside
1412
+
1413
+ 354
1414
+ 00:33:14,710 --> 00:33:19,650
1415
+ micrometer ุงุณุชุฎุฏู… micrometer ุนุดุงู† ุงู‚ูŠุณ ุงู„ู‚ุทุฑ
1416
+
1417
+ 355
1418
+ 00:33:19,650 --> 00:33:23,630
1419
+ ุงู„ุณุคุงู„ did we check the micrometer against the
1420
+
1421
+ 356
1422
+ 00:33:23,630 --> 00:33:25,550
1423
+ gadget blocks ุฌูŠุจู†ุง ุงู„ gadget blocks ุฒูŠ ุงู„ุชุฌุงุฑุจ
1424
+
1425
+ 357
1426
+ 00:33:25,550 --> 00:33:30,830
1427
+ ุงู„ู„ูŠ ุนู…ู„ุชูˆู‡ุง ูˆ ูุญุตู†ุงู‡ุง ูˆ ุงุชุฃูƒุฏู†ุง ุงู†ู‡ ุจูŠุนุทูŠู†ุง ู†ุชุงุฆุฌ
1428
+
1429
+ 358
1430
+ 00:33:30,830 --> 00:33:36,710
1431
+ ูƒูˆูŠุณุฉ or are we accepting its scale as is ุงูˆ ุงุญู†ุง
1432
+
1433
+ 359
1434
+ 00:33:36,710 --> 00:33:40,010
1435
+ ุฎู„ุงุต ุงู„ skill ุงู„ู„ูŠ ู‡ูˆ ุญุทูˆู‡ ุงุนุชุจุฑู‡ ู…ู‚ุจูˆู„ ุจุงู„ู†ุณุจุงู„ูŠ
1436
+
1437
+ 360
1438
+ 00:33:40,010 --> 00:33:41,010
1439
+ ุจุฏูˆู† calibration
1440
+
1441
+ 361
1442
+ 00:33:43,700 --> 00:33:47,220
1443
+ ุณุคุงู„ ุชุงู†ูŠ how experienced are we in using a
1444
+
1445
+ 362
1446
+ 00:33:47,220 --> 00:33:52,280
1447
+ micrometerุŸ ุจุฑุถู‡ ุงู„ุฎุจุฑุฉ ููŠ ุงุณุชุฎุฏุงู… ุงู„ุฌู‡ุงุฒ ุจุชุนุทูŠุงุด
1448
+
1449
+ 363
1450
+ 00:33:52,280 --> 00:34:00,060
1451
+ ุฏู‚ุฉ ุฃูƒุชุฑ ููŠ ุงู„ู‚ุฑุงุกุงุช we
1452
+
1453
+ 364
1454
+ 00:34:00,060 --> 00:34:03,820
1455
+ intend to measure the office only once ู‡ูˆ ู‡ูŠุงุฎุฏ
1456
+
1457
+ 365
1458
+ 00:34:03,820 --> 00:34:07,340
1459
+ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู„ู„ office ู…ุด ู‡ูŠุงุฎุฏ ู‚ุฑุงุกุงุช ูƒุชูŠุฑ ูˆ ูŠุญุณูˆ
1460
+
1461
+ 366
1462
+ 00:34:07,340 --> 00:34:09,920
1463
+ standard deviation ู‡ูŠุงุฎุฏ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ
1464
+
1465
+ 367
1466
+ 00:34:12,710 --> 00:34:17,470
1467
+ ูˆ ู‡ูŠุณุชุฎุฏู… ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ููŠ ูƒู„ ุชุทุจูŠู‚ุงุช ูŠุนู†ูŠ ุฎู„ุงุต
1468
+
1469
+ 368
1470
+ 00:34:17,470 --> 00:34:21,190
1471
+ ุฃุฎุฏู‡ุง ุงู„ู‚ุงุณุฉ ุทู„ุนุช ูˆุงุญุฏ ุงู†ุด ูˆู„ุง ู†ุต ุงู†ุด ุฎู„ุงุต ู‡ูŠุงุฎุฏู‡ุง
1472
+
1473
+ 369
1474
+ 00:34:21,190 --> 00:34:28,310
1475
+ ููŠ ูƒู„ ุงู„ุชุฌุงุฑุจ ุจุนุฏูŠู† ู‡ูŠุงุฎุฏู‡ุง ูˆุงุญุฏ ุงู†ุด after
1476
+
1477
+ 370
1478
+ 00:34:28,310 --> 00:34:33,110
1479
+ these considerations ุจุฏุฑุฌุฉ ุชูƒูˆู† ุฎู…ุณุฉ ูˆุชุณุนูŠู† we
1480
+
1481
+ 371
1482
+ 00:34:33,110 --> 00:34:35,630
1483
+ estimate a ninety-five percent bias and certainty
1484
+
1485
+ 372
1486
+ 00:34:35,630 --> 00:34:39,270
1487
+ plus or minus point o o ุชู…ุงู†ูŠุฉ ุณุงู†ุชู…ุชุฑ ุงู„ู„ูŠ ุทุจุนุง
1488
+
1489
+ 373
1490
+ 00:34:39,270 --> 00:34:43,810
1491
+ ุงู„ู†ู…ูˆ ุงู„ู„ูŠ ุฏูŠุงู…ุชุฑ ุจุชุงุน ุงู„ู‡ูŠู† ู…ุนุชุจุฑู‡ ุฃุฑุจุนุฉ ุณุงู†ุชูˆ
1492
+
1493
+ 374
1494
+ 00:34:43,810 --> 00:34:50,670
1495
+ ู‡ุนุชุจุฑ ููŠ ุนู†ุฏูŠ bias bias ุงู‡
1496
+
1497
+ 375
1498
+ 00:34:50,670 --> 00:34:53,310
1499
+ ุจุณ ูŠุงุจู„ ู‡ูŠูƒ ุทุงู„ู…ุง ุงู†ุง ุงุนุชุจุฑุช ุงู† ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ
1500
+
1501
+ 376
1502
+ 00:34:53,310 --> 00:35:00,050
1503
+ ู„ู„ู‚ุทุฑ ู…ุนู†ุงุชู‡ ุงู†ุง ู‚ุฏ ุงูƒูˆู† ุงุฎุฏุช ุงู„ู‚ุฑุงุกุฉ ุจุงู„ุฒูŠุงุฏุฉ ุงูˆ
1504
+
1505
+ 377
1506
+ 00:35:00,050 --> 00:35:03,170
1507
+ ุจุงู„ู†ู‚ุตุงู† ูˆ ุงู†ุง ุงุฎุฏุช ุงู„ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู…ุด ู‡ุนูŠุฏู‡ุง ู…ุนู†ุงุชู‡
1508
+
1509
+ 378
1510
+ 00:35:03,170 --> 00:35:08,450
1511
+ ู‡ุฐุง ู‡ูŠูƒูˆู† bias ูˆู„ุง uncertainty bias ูˆู„ุง precision
1512
+
1513
+ 379
1514
+ 00:35:08,450 --> 00:35:15,200
1515
+ bias because I am biasedูˆ ู‡ุฐู‡ ุฎู„ุงุต ุชุจุชุช ุนู„ูŠู‡ุง ุณูˆุงุก
1516
+
1517
+ 380
1518
+ 00:35:15,200 --> 00:35:19,860
1519
+ ุจุงู„ู…ูˆุฌุจ ุงูˆ ุงู„ุณุงู„ู‚ ูู‡ุฐู‡ ู‡ุชูƒูˆู† bias uncertain after
1520
+
1521
+ 381
1522
+ 00:35:19,860 --> 00:35:22,700
1523
+ these considerations we estimate a ninety-five
1524
+
1525
+ 382
1526
+ 00:35:22,700 --> 00:35:26,320
1527
+ percent bias uncertainty of plus or minus point
1528
+
1529
+ 383
1530
+ 00:35:26,320 --> 00:35:32,180
1531
+ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† plus bias point o o ุชู…ุงู†ูŠุฉ ู„ูƒู„ ุฃุฑุจุน
1532
+
1533
+ 384
1534
+ 00:35:32,180 --> 00:35:39,580
1535
+ ุตู…ุช ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุนู†ุฏ point o o ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุฃุฑุจุน ุตู…ุช
1536
+
1537
+ 385
1538
+ 00:35:39,580 --> 00:35:47,330
1539
+ ููŠ ู…ูŠุฉูŠุนู†ูŠ ู‡ูƒูˆู† ุนู†ุฏู‰ point ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุฃุฑุจุนุฉ ููŠ ู…ูŠุฉ
1540
+
1541
+ 386
1542
+ 00:35:47,330 --> 00:35:54,050
1543
+ ูŠุนู†ูŠ ู‡ูƒูˆู† ุงูŠุด point ุงุชู†ูŠู† percent ุตุญ ูŠุนู†ูŠ ู‡ูƒูˆู†
1544
+
1545
+ 387
1546
+ 00:35:54,050 --> 00:35:58,790
1547
+ ุนู†ุฏู‰ ุงู„ bias uncertainty ููŠ ุงู„ู‚ูŠุงุณ ุงู„ู‚ุทุฑ plus or
1548
+
1549
+ 388
1550
+ 00:35:58,790 --> 00:36:06,470
1551
+ minus point two percent point two percent ู†ูŠุฌูŠ
1552
+
1553
+ 389
1554
+ 00:36:06,470 --> 00:36:10,350
1555
+ ู„ู„ time ู†ูŠุฌูŠ ู„ู„ time
1556
+
1557
+ 390
1558
+ 00:36:12,790 --> 00:36:15,810
1559
+ ุณุคุงู„ how accurate is the determination of the time
1560
+
1561
+ 391
1562
+ 00:36:15,810 --> 00:36:19,570
1563
+ periodุŸ ูุชุฑุฉ ุงู„ุฒู…ู† ุงู„ู„ูŠ ูƒู†ุช ุฃุนุจูŠ ููŠู‡ุงุŒ ูŠุนู†ูŠ ุงู†ุง
1564
+
1565
+ 392
1566
+ 00:36:19,570 --> 00:36:23,670
1567
+ ูƒุงู† ุนู†ุฏูŠ diverter ูุชุญุช ุงู„ .. ูŠุนู†ูŠ ูƒุงู† ุนู†ุฏูŠ ุฒูŠ
1568
+
1569
+ 393
1570
+ 00:36:23,670 --> 00:36:26,910
1571
+ valve ู…ุณูƒุฑ ุนู„ู‰ ุงู„ .. ุนู„ู‰ ุงู„ .. ุนู„ู‰ ุงู„ tank ูุชุญุช
1572
+
1573
+ 394
1574
+ 00:36:26,910 --> 00:36:32,410
1575
+ ุนู„ู‰ ุงู„ .. ูŠุนู†ูŠ ุนุจู†ุช ุฒูŠูƒุŒ ุฏุฎู„ ูˆูŠู†ุŸ ุนู„ู‰ ุงู„ tank ุฅุฐุง
1576
+
1577
+ 395
1578
+ 00:36:32,410 --> 00:36:36,810
1579
+ ุงู„ diverter ุจู†ุนู…ู„ manuallyุŒ ุฃู†ุง ุจู†ุนู…ู„ manual ูˆ
1580
+
1581
+ 396
1582
+ 00:36:36,810 --> 00:36:41,030
1583
+ ุจุชู…ุณ ุนู„ู‰ ุงู„ stopwatchู‡ู„ ุงู†ุง ุงู„ cabinet stopwatch
1584
+
1585
+ 397
1586
+ 00:36:41,030 --> 00:36:45,490
1587
+ ูŠุนู†ูŠ ุฌุงูŠุฉ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู…ุน ูุชุญุฉ ุงู„ divertor ู‡ู„ ูุชุญุฉ
1588
+
1589
+ 398
1590
+ 00:36:45,490 --> 00:36:47,930
1591
+ ุงู„ divertor ู…ุฑุฉ ุจูุชุญู‡ุง ุจุทูŠู‚ ูˆ ู…ุฑุฉ ุจูุชุญู‡ุง ุณุฑูŠุน
1592
+
1593
+ 399
1594
+ 00:36:47,930 --> 00:36:53,020
1595
+ ุจุชุฃุซุฑ ูˆู„ุง ุจุชุฃุซุฑุงุดุŸุจุชุฃุซุฑ ุทูŠุจ ู‡ุฐู‡ ู„ู„ .. ู„ู„ูุชุญ ุทุจ
1596
+
1597
+ 400
1598
+ 00:36:53,020 --> 00:36:57,360
1599
+ ุจุงู„ุฅุบู„ุงู‚ ุงู†ุง ุจ .. ุจ .. ุจุณูƒุฑ ูˆ ุจุนู…ู„ stop ู‡ู„ ุณูƒุฑุช ููŠ
1600
+
1601
+ 401
1602
+ 00:36:57,360 --> 00:37:02,200
1603
+ ุงู„ุจุฏุงูŠุฉุŸ ููŠ ุงู„ู†ู‡ุงูŠุฉุŸ ููŠ ุงู„ู†ุตูุŸ ูููŠ ุจุฑุถู‡ ููŠ error
1604
+
1605
+ 402
1606
+ 00:37:02,200 --> 00:37:07,980
1607
+ ุทุจุนุง ู‡ุฐู‡ ุงู„ู†ุชูŠุฌุฉ ู…ุฎุชู„ูุฉ ู…ู† ู‚ุฑุงุก ู„ู‚ุฑุงุน ู…ุนู†ุงุชู‡ ุงุฐุง
1608
+
1609
+ 403
1610
+ 00:37:07,980 --> 00:37:14,220
1611
+ ุงุชุจุฑู‡ precision ุงูˆ .. precision ุงูˆ random ุงูˆ ู„ุง
1612
+
1613
+ 404
1614
+ 00:37:14,220 --> 00:37:18,500
1615
+ bias error random ู‡ุฐุง random ู„ุฃู†ู‡ ุชุฎุชู„ู ู…ู† ู‚ุฑุงุก
1616
+
1617
+ 405
1618
+ 00:37:18,500 --> 00:37:19,020
1619
+ ู„ู‚ุฑุงุน
1620
+
1621
+ 406
1622
+ 00:37:24,710 --> 00:37:28,430
1623
+ ููƒู„ ู‡ุฐู‡ ุงู„ uncertainties ุงุญุชู…ุงู„ุงุช ุงู„ุฎู„ู„ ุงูˆ ุงู„ุฎุทุฃ
1624
+
1625
+ 407
1626
+ 00:37:28,430 --> 00:37:38,870
1627
+ ุชุนุชุจุฑ random ุงูˆ precision ุชุฎุชู„ู ู…ู† ุชุฌุฑุจุฉ ู„ุชุฌุฑุจุฉ if
1628
+
1629
+ 408
1630
+ 00:37:38,870 --> 00:37:41,930
1631
+ we carefully make a series of repeated runs of
1632
+
1633
+ 409
1634
+ 00:37:41,930 --> 00:37:47,410
1635
+ this procedureู…ู…ูƒู† ู…ู† ุฎู„ุงู„ ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ูˆ ุงุนู…ู„ ุงู„
1636
+
1637
+ 410
1638
+ 00:37:47,410 --> 00:37:50,070
1639
+ statistical analysis ุงุญุณุจ ุงู„ standard deviation ูˆ
1640
+
1641
+ 411
1642
+ 00:37:50,070 --> 00:37:54,530
1643
+ ู…ู†ู‡ ุงุญุณุจ ุงูŠุงุด ุงู„ precision ุงู„ .. ุงู„ uncertain
1644
+
1645
+ 412
1646
+ 00:37:54,530 --> 00:37:59,920
1647
+ errorููŠ ุงู„ุญูŠุงุฉ ุจุชุงุนุชู†ุง we simply estimate ุงู„
1648
+
1649
+ 413
1650
+ 00:37:59,920 --> 00:38:02,920
1651
+ standard deviation to be plus or minus ุชู„ุงุชุฉ
1652
+
1653
+ 414
1654
+ 00:38:02,920 --> 00:38:06,440
1655
+ second ู‡ูˆ ุนู…ู„ .. ุนู…ู„ ู‚ุฑุงุกุงุช ูƒุชูŠุฑ ูˆ ุทู„ุจ ู…ุนุงู‡ุง ุงู„
1656
+
1657
+ 415
1658
+ 00:38:06,440 --> 00:38:11,780
1659
+ standard deviation plus or minus ุชู„ุงุชุฉ second ุทุจุนุง
1660
+
1661
+ 416
1662
+ 00:38:11,780 --> 00:38:16,140
1663
+ ูุชุฑุฉ ุฒู…ุงู† ุงู„ู„ูŠ ุฃุฎุฏ ุนู„ูŠู‡ุง ู‚ุฑุงุกุงุช ูƒุงู†ุช ุฎู…ุณ ุฏู‚ุงุฆู‚
1664
+
1665
+ 417
1666
+ 00:38:16,140 --> 00:38:23,270
1667
+ ูŠุนู†ูŠ ุนู†ุฏูŠ ุชู„ุงุชุฉ secondุชู„ุงุช ุซูˆุงู†ูŠ ุนู„ู‰ ุฎู…ุณ ุฏู‚ุงุฆู‚ ููŠ
1668
+
1669
+ 418
1670
+ 00:38:23,270 --> 00:38:32,130
1671
+ ุณุชูŠู† ุชู„ุงุชุฉ ู‡ูŠ ู†ู‚ุงุด ุนุดุฑูŠู† ูŠุนู†ูŠ ูˆุงุญุฏ ุนู„ู‰ ู…ูŠุฉ ููŠ ู…ูŠุฉ
1672
+
1673
+ 419
1674
+ 00:38:32,130 --> 00:38:37,290
1675
+ ุนุดุงู† ูŠุตูŠุฑ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ู…ุนู†ุงุชู‡ and the total time
1676
+
1677
+ 420
1678
+ 00:38:37,290 --> 00:38:40,090
1679
+ ู‡ูŠูƒูˆู† ุงู„ standard deviation ูŠูƒูˆู† plus or minus
1680
+
1681
+ 421
1682
+ 00:38:40,090 --> 00:38:42,470
1683
+ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
1684
+
1685
+ 422
1686
+ 00:38:48,330 --> 00:38:52,450
1687
+ ุงู„ bias error ุงู„ bias error ุงู„ู„ูŠ ุงุญู†ุง ุจุญูƒูŠู‡ ุฎุทุฃ ููŠ
1688
+
1689
+ 423
1690
+ 00:38:52,450 --> 00:38:57,130
1691
+ ุงู„ู‚ุฑุงุกุฉ ุฎุทุฃ .. ุฎุทุฃ ุซุงุจุช ุณูˆุงุก ูŠุณุงุฑ ุงูˆ .. ุงูˆ ูŠู…ูŠู†
1692
+
1693
+ 424
1694
+ 00:38:57,130 --> 00:39:05,830
1695
+ ู…ู…ูƒู† ุจูŠุชู…ุฏ ุงู†ู‡ ุดุฎุต ุฏุงูŠู…ุง .. ู…ู…ูƒู† ุดุฎุต ูŠูƒูˆู† ู…ุณุชุนุฌู„ ูˆ
1696
+
1697
+ 425
1698
+ 00:39:05,830 --> 00:39:12,050
1699
+ ูŠุถุน ุฏุงูŠู…ุง ู‚ุจู„ ููŠ ุดุฎุต ุชุงู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ู„ุฃ ุจุทูŠุก ูˆ
1700
+
1701
+ 426
1702
+ 00:39:12,050 --> 00:39:16,990
1703
+ ูŠุชุฃุฎุฑ ุฏุงูŠู…ุง ุญุณุจ ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุฌุฑูŠ ุงู„ุชุฌุฑุจุฉูู‡ูˆ ู…ู…ูƒู†
1704
+
1705
+ 427
1706
+ 00:39:16,990 --> 00:39:20,510
1707
+ ูŠูƒูˆู† ู…ุงููŠุด ุนู†ุฏู‡ ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุงู„ caps ุจุชุงุนุชู‡ ููŠ
1708
+
1709
+ 428
1710
+ 00:39:20,510 --> 00:39:23,110
1711
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุชูƒูˆู† ุงู„ุดุฑุงู†ุฏุฉ ุงู„ุชุฃุฎูŠุฑ ู‡ุฐุง ุงู„ู„ูŠ ุฏุงู† ุงุฐุง
1712
+
1713
+ 429
1714
+ 00:39:23,110 --> 00:39:26,350
1715
+ ูƒุงู† ุชุฃุฎูŠุฑ ุฏุงูŠู…ุง ุงูˆ ุงู„ุชู‚ุฏูŠู… ุงุฐุง ูƒุงู† ุฏุงูŠู…ุง ุชู‚ุฏูŠู…
1716
+
1717
+ 430
1718
+ 00:39:26,350 --> 00:39:31,430
1719
+ ูู‡ุฐุง ูŠุนุชุจุฑ ุงูŠุด bias error ููŠ ุงู„ start up ุงูˆ ููŠ ุงู„
1720
+
1721
+ 431
1722
+ 00:39:31,430 --> 00:39:35,590
1723
+ stop ุงู„ุงู†
1724
+
1725
+ 432
1726
+ 00:39:35,590 --> 00:39:40,930
1727
+ ู‡ุฐุง ูŠุนู†ูŠ ู…ุงููŠุด ุนู†ุฏู‰ ู…ุนู„ูˆู…ุงุชูƒุงููŠุฉ ุฎุตูˆุต ุงุฐุง ูƒุงู†ุช
1728
+
1729
+ 433
1730
+ 00:39:40,930 --> 00:39:48,110
1731
+ ุนู…ู„ูŠุฉ ุงุบู„ุงู‚ ูˆูุชุญ ุงู„ุตู…ุงู… manual ู‡ู†ูุชุฑุถ ุงู† ุงู„ bias
1732
+
1733
+ 434
1734
+ 00:39:48,110 --> 00:39:52,010
1735
+ error is negligible ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุงู„ precision
1736
+
1737
+ 435
1738
+ 00:39:52,010 --> 00:39:57,570
1739
+ error ุงู„ูƒุซุงูุฉ
1740
+
1741
+ 436
1742
+ 00:39:59,320 --> 00:40:02,640
1743
+ ุงู„ density will be read from a handbook ู‡ูุชุญ
1744
+
1745
+ 437
1746
+ 00:40:02,640 --> 00:40:08,540
1747
+ ุงู„ูƒุชุงุจ ูˆ ุงุทู„ุน ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ู…ูŠู‡ ุชู„ุงุชูŠู† ุฏุฑุฌุฉ ูŠุนู†ูŠ
1748
+
1749
+ 438
1750
+ 00:40:08,540 --> 00:40:12,380
1751
+ ุชู„ุงุชูŠู† ูƒุซุงูุฉ ูƒุฐุง ู‡ุงุฎุฏ ุงู„ู‚ุฑุงุกู‡ ุงุจู†ูŠ ุนูŠุงุด ู…ู† ุงู„
1752
+
1753
+ 439
1754
+ 00:40:12,380 --> 00:40:18,840
1755
+ handbook ุงู„ุงู† ุจูŠู† ุณูุฑ ูˆ ุชุจุงู†ูŠุฉ ูˆ ุชู„ุงุชูŠู† ุฏุฑุฌุฉ ูƒุซุงูุฉ
1756
+
1757
+ 440
1758
+ 00:40:18,840 --> 00:40:22,480
1759
+ ุงู„ู…ูŠู‡ ุจุชู‚ู„ ุญูˆุงู„ูŠ ุณุจุนุฉ ู…ู† ุนุดุฑุฉ ููŠ ุงู„ู…ูŠุฉ ุจูŠู† ุณูุฑ ูˆ
1760
+
1761
+ 441
1762
+ 00:40:22,480 --> 00:40:27,240
1763
+ ุชุจุงู†ูŠุฉ ูˆ ุชู„ุงุชูŠู† ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ุจุชู‚๏ฟฝ๏ฟฝ ุจูŠู† ุณุจุนุฉ ููŠ ุงู„ู…ูŠุฉ
1764
+
1765
+ 442
1766
+ 00:40:30,220 --> 00:40:35,260
1767
+ ู„ุฃู† ุงู„ temperature may vary slightly between each
1768
+
1769
+ 443
1770
+ 00:40:35,260 --> 00:40:38,160
1771
+ exponent ู…ู† ุชุฌุฑุจุฉ ู„ุชุฌุฑุจุฉ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุชุฎุชู„ู
1772
+
1773
+ 444
1774
+ 00:40:38,160 --> 00:40:46,780
1775
+ leading to a precision error if only one value of
1776
+
1777
+ 445
1778
+ 00:40:46,780 --> 00:40:50,560
1779
+ density is used ุฅุฐุง ุฃุฎุฏุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู„ู„ density
1780
+
1781
+ 446
1782
+ 00:40:50,560 --> 00:40:55,060
1783
+ ูˆุจุนุชู…ุฏ ุนู„ู‰ ุงู„ handbookูˆุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ู…ู† ุชุฌุฑูŠ ู„ุชุฌุฑูŠ
1784
+
1785
+ 447
1786
+ 00:40:55,060 --> 00:40:59,900
1787
+ ุจุชุทูŠุฑ ุงู„ูŠูˆู… ุชุณุนุฉ ูˆุนุดุฑูŠู† ุจูƒุฑุฉ ุชู„ุงุชูŠู† ุจุนุฏูŠู† ุณุจุนุฉ
1788
+
1789
+ 448
1790
+ 00:40:59,900 --> 00:41:04,180
1791
+ ูˆุนุดุฑูŠู† ุชู„ุงุช ุชู„ุงุชูŠู† ููŠ ุนู†ุฏูŠ ุงูŠุด variation ูˆ ุงู„
1792
+
1793
+ 449
1794
+ 00:41:04,180 --> 00:41:09,480
1795
+ variation ู‡ุง ุฏูŠ ุงูŠุด random ุงุฐุง
1796
+
1797
+ 450
1798
+ 00:41:09,480 --> 00:41:12,940
1799
+ ุงุณุชุฎุฏุงู… ุงู„ุฌู‡ุงุฒ ุงุณุชุฎุฏุงู… thermal couple ุนุดุงู† ุงุฎุฏ
1800
+
1801
+ 451
1802
+ 00:41:12,940 --> 00:41:16,680
1803
+ ุงู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ุตุญ ูˆ ุจุนุฏ ู…ุง ุงุฎุฏุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
1804
+
1805
+ 452
1806
+ 00:41:16,680 --> 00:41:21,120
1807
+ ุงู„ุตุญุจุฑูˆุญ ุงุทู„ุน ู‚ูŠู…ุฉ ุงู„ density ุงู„ุตุญ ุทุจ ู…ุง ู‡ูˆ ุจุฑุถู‡
1808
+
1809
+ 453
1810
+ 00:41:21,120 --> 00:41:25,200
1811
+ ุงู„ุฌู‡ุงุฒ ุงู„ thermocouple ููŠ precision error ุงูˆ ููŠ
1812
+
1813
+ 454
1814
+ 00:41:25,200 --> 00:41:29,740
1815
+ random error ุตุญ ูููŠ ูƒู„ ุงู„ุฃุญูˆุงู„ ุณูˆุงุก ุงุฎุฏุชู‡ุง ู…ู†
1816
+
1817
+ 455
1818
+ 00:41:29,740 --> 00:41:32,720
1819
+ handbook ูƒุฑุงุกุฉ ูˆุงุญุฏุฉ ูˆููŠ variation ููŠ ุงู„
1820
+
1821
+ 456
1822
+ 00:41:32,720 --> 00:41:35,400
1823
+ temperature ุนู„ู‰ ุฃุฑุถ ุงู„ูˆุงู‚ุน ูููŠ NdH random error
1824
+
1825
+ 457
1826
+ 00:41:36,180 --> 00:41:39,600
1827
+ ุงู„ุญุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ู„ูˆ ูƒู„ ุชุฌุฑุจุฉ ูƒู†ุช ุงุณุชุฎุฏู… ุซู…ูƒ ุงูˆ ุงู‚ุงุณ
1828
+
1829
+ 458
1830
+ 00:41:39,600 --> 00:41:44,100
1831
+ ุงู„ุญุฑุงุฑุฉ ุจู†ุงุก ุนู„ู‰ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ุงุทุงู„ุน ูƒุซุงูุฉ ู…ู† ุงู„
1832
+
1833
+ 459
1834
+ 00:41:44,100 --> 00:41:46,180
1835
+ handbook ุจุฑุถู‡ ููŠ ุนู†ุฏูŠ precision error ููŠ ูƒู„ ุญูˆุงู„
1836
+
1837
+ 460
1838
+ 00:41:46,180 --> 00:41:52,640
1839
+ ููŠ ุนู†ุฏูŠ precision ุงูˆ random error ุงุฐุง ูƒุงู† ุงู„
1840
+
1841
+ 461
1842
+ 00:41:52,640 --> 00:41:54,760
1843
+ standard deviation ุงู„ุญุฑุงุฑุฉ ููŠ ุงู„ู…ูŠุงุฑุฉ ููŠ ุฏุฑุฌุฉ
1844
+
1845
+ 462
1846
+ 00:41:54,760 --> 00:42:01,160
1847
+ ุงู„ุญุฑุงุฑุฉ plus or minus one degree ูˆุจุงู„ุชุงู„ูŠ ู‡ูƒูˆู† ุงู„
1848
+
1849
+ 463
1850
+ 00:42:01,160 --> 00:42:05,760
1851
+ variation ููŠ ุงู„ densityุฃูƒู… ุณุจุนุฉ ู…ู† ุนุดุฑ ุงุฐุง ุงุฎุฏุช ุงู„
1852
+
1853
+ 464
1854
+ 00:42:05,760 --> 00:42:08,820
1855
+ range ุงู†ุช ู‡ู†ุง ุนู†ุฏูƒ ุงู„ range ุจูŠู† ุณูุฑ ู„ ุชู…ู†ู‡ ุชู„ุงุชูŠู†
1856
+
1857
+ 465
1858
+ 00:42:08,820 --> 00:42:18,200
1859
+ ุงู„ู„ูŠ ู‡ูŠ ูŠุนู†ูŠ ุญูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง point ูˆุงุญุฏ ุงูˆ point
1860
+
1861
+ 466
1862
+ 00:42:18,200 --> 00:42:25,760
1863
+ ุณุจุนุฉ point ุณุจุนุฉ ุนู„ู‰ ุชู…ู†ู‡ ุชู„ุงุชูŠู† ุญุณุจูˆู„ูŠ ุงู†ุง ุจุงู„ู„ู‡
1864
+
1865
+ 467
1866
+ 00:42:25,760 --> 00:42:29,020
1867
+ point
1868
+
1869
+ 468
1870
+ 00:42:29,020 --> 00:42:30,380
1871
+ ุณุจุนุฉ ุนู„ู‰ point ุชู…ู†ู‡ ุชู„ุงุชูŠู†
1872
+
1873
+ 469
1874
+ 00:42:41,760 --> 00:42:45,620
1875
+ ุชู‚ูŠู… point O ุนู„ู‰ ุงู„ุทูŠ ูˆ ุชุฑูˆุญ ููŠ point O ูˆุงุญุฏ ููŠ
1876
+
1877
+ 470
1878
+ 00:42:45,620 --> 00:42:46,660
1879
+ point ูˆุงุญุฏ ุงุนุชุงุฏุฉ
1880
+
1881
+ 471
1882
+ 00:42:52,720 --> 00:42:56,720
1883
+ .0018 ูŠุนู†ูŠ .002 ุชู‚ุฑูŠุจุง ูุจุทู„ุน ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1884
+
1885
+ 472
1886
+ 00:42:56,720 --> 00:43:01,020
1887
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1888
+
1889
+ 473
1890
+ 00:43:01,020 --> 00:43:01,200
1891
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1892
+
1893
+ 474
1894
+ 00:43:01,200 --> 00:43:01,320
1895
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1896
+
1897
+ 475
1898
+ 00:43:01,320 --> 00:43:01,500
1899
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1900
+
1901
+ 476
1902
+ 00:43:01,500 --> 00:43:01,960
1903
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1904
+
1905
+ 477
1906
+ 00:43:01,960 --> 00:43:04,240
1907
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1908
+
1909
+ 478
1910
+ 00:43:04,240 --> 00:43:11,560
1911
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1912
+
1913
+ 479
1914
+ 00:43:11,560 --> 00:43:14,680
1915
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1916
+
1917
+ 480
1918
+ 00:43:14,680 --> 00:43:14,840
1919
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1920
+
1921
+ 481
1922
+ 00:43:14,840 --> 00:43:15,380
1923
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1924
+
1925
+ 482
1926
+ 00:43:15,380 --> 00:43:17,160
1927
+ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1928
+
1929
+ 483
1930
+ 00:43:17,160 --> 00:43:17,300
1931
+ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1932
+
1933
+ 484
1934
+ 00:43:17,300 --> 00:43:19,240
1935
+ ..
1936
+
1937
+ 485
1938
+ 00:43:24,550 --> 00:43:30,050
1939
+ ุทูŠุจ ุงู„ time ู„ุณู‡ ุฎู„ุตู†ุงุด ุงุญู†ุง ุงู„ bias error in
1940
+
1941
+ 486
1942
+ 00:43:30,050 --> 00:43:35,230
1943
+ temperature ุงู„ุขู† ุงู„ bias ุงุญู†ุง ุญุงูƒูŠู‡ ุงู† ุงู†ุช ู…ู…ูƒู†
1944
+
1945
+ 487
1946
+ 00:43:35,230 --> 00:43:40,950
1947
+ ุชุนู…ู„ shift ุซุงุจุช shift ุซุงุจุช ุณูˆุงุก ุดู…ุงู„ ุงูˆ ูŠู…ูŠู† ุงู„
1948
+
1949
+ 488
1950
+ 00:43:40,950 --> 00:43:47,730
1951
+ bias error in temperature reading may be higherู„ู…ุง
1952
+
1953
+ 489
1954
+ 00:43:47,730 --> 00:43:51,910
1955
+ ุจุงุฎุฏ ู‚ุฑุงุกุฉ ุนุงุฏุฉ ู…ุด ู‡ุฌูŠุจ ุนุดุงู† ุฃู‚ูŠุต ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ู…ูŠู‡
1956
+
1957
+ 490
1958
+ 00:43:51,910 --> 00:43:55,830
1959
+ ุงู„ุฌู‡๏ฟฝ๏ฟฝุฒ ูŠุนุทูŠู†ูŠ plus or minus point ูˆุงุญุฏ ู…ู…ูƒู† ุฃุฎู„ูŠ
1960
+
1961
+ 491
1962
+ 00:43:55,830 --> 00:44:00,990
1963
+ plus or minus ูˆุงุญุฏ degrees ูŠุนู†ูŠ ู‡ุฐู‡ ูƒุงููŠุฉ ู„ู„ุชุฌุงุฑุจ
1964
+
1965
+ 492
1966
+ 00:44:00,990 --> 00:44:07,730
1967
+ ุงู„ุชุนุชูŠู‚ูŠุฉ ูุงู„ bias ู…ู…ูƒู† ูŠูƒูˆู† plus or minus one
1968
+
1969
+ 493
1970
+ 00:44:07,730 --> 00:44:12,690
1971
+ degree ุงู„ bias ู…ู…ูƒู† ูŠูƒูˆู† plus or minus degree
1972
+
1973
+ 494
1974
+ 00:44:14,840 --> 00:44:18,960
1975
+ ูˆ ุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† ุงู„ bias uncertainty ุชู‚ุฑูŠุจุง ุนุดุฑุฉ
1976
+
1977
+ 495
1978
+ 00:44:18,960 --> 00:44:23,240
1979
+ ุถุนู ููŠ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุนุดุฑุฉ ุถุนู ุงู„ู„ูŠ ู‡ูŠ ุงู„ random ุฃูˆ ุงู„
1980
+
1981
+ 496
1982
+ 00:44:23,240 --> 00:44:26,600
1983
+ precision uncertainty ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูƒุงู† ุฏุฑุฌุฉ
1984
+
1985
+ 497
1986
+ 00:44:26,600 --> 00:44:31,420
1987
+ ุงู„ุญุฑุงุฑุฉ ูƒู…ุŸ plus or minus point one ูŠุนู†ูŠ ุงู†ุฏูŠ plus
1988
+
1989
+ 498
1990
+ 00:44:31,420 --> 00:44:38,740
1991
+ or minus ุฅูŠู‡ุงุดุŸ one ู…ุนู†ุงุชู‡ ููŠ ุงู„ density ู‡ุชูƒูˆู†ุงู„ู€
1992
+
1993
+ 499
1994
+ 00:44:38,740 --> 00:44:41,540
1995
+ bias uncertainty ููŠ ุงู„ density due to bias
1996
+
1997
+ 500
1998
+ 00:44:41,540 --> 00:44:45,160
1999
+ uncertainty ููŠ ุงู„ุญุฑุงุฑุฉ ู‡ุชูƒูˆู† ุนุดุฑุฉ ุถุนู ู„ูˆ ูƒุงู† point
2000
+
2001
+ 501
2002
+ 00:44:45,160 --> 00:44:54,500
2003
+ o ุงุชู†ูŠู† ู‡ุณูŠู†ุงุด point o ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉ ุทูŠุจ
2004
+
2005
+ 502
2006
+ 00:44:54,500 --> 00:44:57,520
2007
+ if we do not bother to measure ุงู„ุชู…ุฑุด ุงุฐุง ูƒู†ุงุด
2008
+
2009
+ 503
2010
+ 00:44:57,520 --> 00:45:02,860
2011
+ ู…ุนู†ูŠูŠู† ุจู†ุงุด ู†ุฒู‡ุฑ ุงู„ุญุงู„ุฉ ูˆ ู†ู‚ูŠุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุญุถุฑู‡ุง
2012
+
2013
+ 504
2014
+ 00:45:02,860 --> 00:45:06,120
2015
+ ุงู„ bias uncertainty ุฃุนู„ู‰ ู…ู† ุงู„ precision
2016
+
2017
+ 505
2018
+ 00:45:06,120 --> 00:45:11,760
2019
+ uncertainty ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ we may be satisfied
2020
+
2021
+ 506
2022
+ 00:45:11,760 --> 00:45:17,940
2023
+ with upon two percent bias uncertainty ู„ูˆ ุงูุชุฑุถู†ุง
2024
+
2025
+ 507
2026
+ 00:45:17,940 --> 00:45:20,820
2027
+ ุงู†ู‡ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุบุฑูุฉ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ู…ุนูŠุงุฑูŠุฉ ุงู„ู„ูŠ ู‡ูŠ
2028
+
2029
+ 508
2030
+ 00:45:20,820 --> 00:45:24,120
2031
+ ุนุดุฑูŠู† ุฏุฑุฌุฉ ู…ู…ูƒู† ุชูƒูˆู† ุชู„ุงุชูŠู† ู‡ูŠ ุจุณ ุงู†ุง ุงุนุชู…ุฏ ููŠ
2032
+
2033
+ 509
2034
+ 00:45:24,120 --> 00:45:28,300
2035
+ ู‚ุฑุงุกุงุชูŠ ู…ู† ุงู„ handbook ุนู„ู‰ ุงู„ standard room
2036
+
2037
+ 510
2038
+ 00:45:28,300 --> 00:45:30,860
2039
+ temperature ุงู„ู„ูŠ ู‡ูŠ ุนุดุฑูŠู† ุฏุฑุฌุฉ
2040
+
2041
+ 511
2042
+ 00:45:34,320 --> 00:45:38,680
2043
+ ุทูŠุจ ูŠุนู†ูŠ ุงู„ู…ุนุงุฏู„ุฉ ุฏู‡ ู…ุงู†ูƒูˆุง ุนู„ู‰ ุงู„ุฒุงูˆูŠุฉ ุงุญู†ุง ุญูƒูŠู†ุง
2044
+
2045
+ 512
2046
+ 00:45:38,680 --> 00:45:46,640
2047
+ ุนู† ุงู„ .. ุงู„ W ุญูƒูŠู†ุง ุนู† ุงู„ D ุญูƒูŠู†ุง ุนู† ุงู„ T ุญูƒูŠู†ุง ุนู†
2048
+
2049
+ 513
2050
+ 00:45:46,640 --> 00:45:50,580
2051
+ ุงู„ ฯูˆ ุฏู‡ ุงู„ pressure drop delta P
2052
+
2053
+ 514
2054
+ 00:45:54,720 --> 00:45:57,700
2055
+ ุงู„ value pressure drop is measured using a
2056
+
2057
+ 515
2058
+ 00:45:57,700 --> 00:46:02,020
2059
+ manometer ุงู„ู…ุงู†ูˆู…ูŠุชุฑ ู‡ูŠ ุฌู‡ุงุฒ ู…ุงู†ูˆู…ูŠุชุฑ ู…ุฏุฑุฌ ุจูŠูƒูˆู†
2060
+
2061
+ 516
2062
+ 00:46:02,020 --> 00:46:06,960
2063
+ ููŠู‡ liquid ุนู†ุฏ ู‡ู†ุง ููŠู‡ ูุชุญุฉ ุงู„ pressure ุงู„ู„ูŠ ุจูŠูƒูˆู†
2064
+
2065
+ 517
2066
+ 00:46:06,960 --> 00:46:09,940
2067
+ ู‡ู†ุง ุงู„ pressure ุฑุงุถุญ ู‡ู†ุง ููŠ ุงู„ู…ุฏุฎู„ ุงู„ุญุงู„ูŠ ู‡ุฐู‡ ู„ุงู†
2068
+
2069
+ 518
2070
+ 00:46:09,940 --> 00:46:11,880
2071
+ ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู„ pressure ู‡ู†ุง ุฃุนู„ู‰ ู…ู† ู‡ู†ุง
2072
+
2073
+ 519
2074
+ 00:46:11,880 --> 00:46:16,080
2075
+ ูุจูŠุถุบุท ูุจูŠุฏูุน ุงู„ fluid ู‡ูˆ ุจูŠู‚ูŠุต ุงู„ูุฑู‚ ุจูŠู†
2076
+
2077
+ 520
2078
+ 00:46:16,080 --> 00:46:20,430
2079
+ ุงู„ู‚ุฑุงุกุชูŠู† ู„ุงุญุธูˆุง ููŠ ุนู†ุฏูƒู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ุชู„ุงุซู‚ุงู„ุชู„ุงุณู‚
2080
+
2081
+ 521
2082
+ 00:46:20,430 --> 00:46:27,070
2083
+ ุจูŠู† ุงู„ fluid ูˆุงู„ุฒุฌุงุฌ ูุจุชุนุทูŠู†ุง ู‡ุฐู‡ ุฎู„ู„ ููŠ ุงู„ ..
2084
+
2085
+ 522
2086
+ 00:46:27,070 --> 00:46:29,550
2087
+ ูŠุนู†ูŠ ุจูŠู‚ุฑุฃ ู‚ุฑุงู‡ูŠู† ูˆ ู‚ุฑุงู‡ูŠู† ูˆ ุจูŠุทู„ุญูˆุง ู…ู† ุจุนุถ ู‡ูˆ ููŠ
2088
+
2089
+ 523
2090
+ 00:46:29,550 --> 00:46:33,430
2091
+ ุงู„ุขุฎุฑ ู
2092
+
2093
+ 524
2094
+ 00:46:33,430 --> 00:46:35,710
2095
+ ุงู„ dominant uncertainty ููŠ ุงู„ reading difference
2096
+
2097
+ 525
2098
+ 00:46:35,710 --> 00:46:40,230
2099
+ ุงู† ุงู†ุง ุงู‚ุฑุฃ ุงู„ difference ู‡ุฐุง ู‡ูŠ ุงู„ุนู†ุตุฑ ุงู„ุฑุฆูŠุณูŠ ููŠ
2100
+
2101
+ 526
2102
+ 00:46:40,230 --> 00:46:46,010
2103
+ ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉ ูˆุจุงู„ุชุงู„ูŠ ู‡ุชูƒูˆู† ู‡ุฐู‡
2104
+
2105
+ 527
2106
+ 00:46:50,680 --> 00:46:57,660
2107
+ ู‡ุชูƒูˆู† precision ุงูˆ random uncertainty ุงู„
2108
+
2109
+ 528
2110
+ 00:46:57,660 --> 00:47:00,660
2111
+ precision .. this uncertainty has relatively
2112
+
2113
+ 529
2114
+ 00:47:00,660 --> 00:47:06,700
2115
+ constant size ุฏุงูŠู…ุง ู„ุงุญุธูˆุง ุณูˆุงุก ูƒุงู†ุช ู‡ุฐู‡ ูƒุงู†ุช ู‡ู†ุง
2116
+
2117
+ 530
2118
+ 00:47:06,700 --> 00:47:12,380
2119
+ ุงูˆ ู‡ู†ุง ุชู‚ุฑูŠุจุง ุจุชุนุทูŠ ู†ูุณ ุงู„ุฎุทุฃ ุชู‚ุฑูŠุจุง ุฏุงูŠู…ุง ุจุชุนุทูŠ
2120
+
2121
+ 531
2122
+ 00:47:12,380 --> 00:47:14,720
2123
+ ู†ูุณ ุงู„ุฎุทุฃ ุงู‡
2124
+
2125
+ 532
2126
+ 00:47:22,150 --> 00:47:25,710
2127
+ ุฃูˆ ุจุงู„ุชุงู„ูŠ ุฅุฐุง ุจุฏู‰ ุฃุณุชุฎุฏู… percentage uncertainty
2128
+
2129
+ 533
2130
+ 00:47:25,710 --> 00:47:32,090
2131
+ ุจุชูƒูˆู† ุจุนุถ ุฃุญูŠุงู† ู…ุถู„ู„ุฉ ู„ูŠุดุŸ what if ุฅุฐุง ูƒุงู† ุงู„
2132
+
2133
+ 534
2134
+ 00:47:32,090 --> 00:47:37,130
2135
+ difference ูƒุจูŠุฑ ูƒุชูŠุฑ ูˆุงุญู†ุง ุญูƒูŠู†ุง ู‡ุฐุง ุชู‚ุฑูŠุจุง ุซุงุจุชุฉ
2136
+
2137
+ 535
2138
+ 00:47:37,130 --> 00:47:43,130
2139
+ ู…ุนู†ุงุชู‡ ุนู„ู‰ delta P ูƒุจูŠุฑ ุจุชูƒูˆู† ุงู„ precision ู‚ู„ูŠู„
2140
+
2141
+ 536
2142
+ 00:47:43,130 --> 00:47:47,190
2143
+ ุนู„ู‰ delta P ุฅุฐุง ู‡ูŠ ุซุงุจุชุฉ ุตุบูŠุฑุฉ ุจุชูƒูˆู† ุงู„ precision
2144
+
2145
+ 537
2146
+ 00:47:47,190 --> 00:47:52,550
2147
+ uncertainty ุฅูŠุดุŸูƒุจูŠุฑุฉ ูˆุจุงู„ุชุงู„ูŠ ุงู†ุง ููŠ ุงู„ุญู„ู‚ุฉ ุฏูŠ
2148
+
2149
+ 538
2150
+ 00:47:52,550 --> 00:47:56,550
2151
+ ู‡ุงุฎุฏ average value average value ู„ู„ percentage
2152
+
2153
+ 539
2154
+ 00:47:56,550 --> 00:48:02,790
2155
+ precision uncertainty ูŠุนู†ูŠ to keep uncertainty
2156
+
2157
+ 540
2158
+ 00:48:02,790 --> 00:48:06,490
2159
+ analysis simple ุนุดุงู† ุงุจุณุท ุงู„ุฃู…ูˆุฑ ุจุฏูŠุด ุงูƒู„ูƒู‡ุง let
2160
+
2161
+ 541
2162
+ 00:48:06,490 --> 00:48:10,170
2163
+ us take a representative value ู‡ูŠ of plus or minus
2164
+
2165
+ 542
2166
+ 00:48:10,170 --> 00:48:15,110
2167
+ one percent for the standard deviation in the
2168
+
2169
+ 543
2170
+ 00:48:15,110 --> 00:48:15,370
2171
+ pressure
2172
+
2173
+ 544
2174
+ 00:48:19,160 --> 00:48:24,140
2175
+ ุงู„ู€ bias uncertainty ุงู„ู„ูŠ ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุนู† ู‚ูŠู…ุฉ
2176
+
2177
+ 545
2178
+ 00:48:24,140 --> 00:48:28,640
2179
+ ุซุงุจุชุฉ ุชู‚ุฑูŠุจุง negligible ู„ุฃู†ู‡ ุฏุฑุฌุฉ ุงู„ุชู„ุงุณู‚ ู†ูุณ
2180
+
2181
+ 546
2182
+ 00:48:28,640 --> 00:48:35,000
2183
+ ุงู„ุฃุดูŠ ุชู‚ุฑูŠุจุง ูˆุจุงู„ุชุงู„ูŠ ูŠุนู†ูŠ ู…ุด ู‡ุชูƒูˆู† ู‚ูŠู…ุฉ ู…ุนุชุจุฑุฉ
2184
+
2185
+ 547
2186
+ 00:48:35,000 --> 00:48:39,060
2187
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ู…ุน ุงู„ precision uncertainty ู„ุฃู† ู…ู„ุฎุต
2188
+
2189
+ 548
2190
+ 00:48:39,060 --> 00:48:43,840
2191
+ ุงู„ู†ุชุงุฌ ููŠ ุงู†ุฏูŠ ูƒุงู† waitุงู„ุฏูŠุงู…ุชุฑ ุชุงุน ุงู„ office ุนู†ุฏูŠ
2192
+
2193
+ 549
2194
+ 00:48:43,840 --> 00:48:48,160
2195
+ ุงู„ time ุนู†ุฏูŠ ุงู„ density delta P ููŠ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„
2196
+
2197
+ 550
2198
+ 00:48:48,160 --> 00:48:50,900
2199
+ error ู…ุตุฏุฑูŠู† ููŠ ุนู†ุฏูŠ bias uncertainty ุงูˆ
2200
+
2201
+ 551
2202
+ 00:48:50,900 --> 00:48:54,280
2203
+ systematic uncertainty ูˆููŠ ุนู†ุฏูŠ random ุงูˆ
2204
+
2205
+ 552
2206
+ 00:48:54,280 --> 00:48:57,460
2207
+ precision uncertainty ููŠ ูƒู„ ูˆุงุญุฏุฉ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„
2208
+
2209
+ 553
2210
+ 00:48:57,460 --> 00:49:03,320
2211
+ weight ุงุฐุง ูุงูƒุฑูŠู† ุงู„ bias uncertainty ูˆุงุญุฏ ููŠ
2212
+
2213
+ 554
2214
+ 00:49:03,320 --> 00:49:09,240
2215
+ ุงู„ู…ูŠุฉ ุงู„ random ุงู„ู„ูŠ ู‡ูŠ point ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ
2216
+
2217
+ 555
2218
+ 00:49:10,540 --> 00:49:14,040
2219
+ ุงู„ุฏูŠุงู…ูŠุชุฑ ูƒุงู†ุช plus ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2220
+
2221
+ 556
2222
+ 00:49:14,040 --> 00:49:14,120
2223
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2224
+
2225
+ 557
2226
+ 00:49:14,120 --> 00:49:14,520
2227
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2228
+
2229
+ 558
2230
+ 00:49:14,520 --> 00:49:16,040
2231
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2232
+
2233
+ 559
2234
+ 00:49:16,040 --> 00:49:16,800
2235
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2236
+
2237
+ 560
2238
+ 00:49:16,800 --> 00:49:19,020
2239
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2240
+
2241
+ 561
2242
+ 00:49:19,020 --> 00:49:23,220
2243
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2244
+
2245
+ 562
2246
+ 00:49:23,220 --> 00:49:23,240
2247
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2248
+
2249
+ 563
2250
+ 00:49:23,240 --> 00:49:23,600
2251
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2252
+
2253
+ 564
2254
+ 00:49:23,600 --> 00:49:25,040
2255
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2256
+
2257
+ 565
2258
+ 00:49:25,040 --> 00:49:25,520
2259
+ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„ ุงู„
2260
+
2261
+ 566
2262
+ 00:49:28,630 --> 00:49:33,810
2263
+ ู…ุนุธู… ุงู„ raw ุงูŠุด ุญูƒูŠู†ุง ู…ุนุธู… .. ู…ุนุธู… precision ู…ุด
2264
+
2265
+ 567
2266
+ 00:49:33,810 --> 00:49:39,630
2267
+ bias zero bias ูˆ ุงู„ precision ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุงู„
2268
+
2269
+ 568
2270
+ 00:49:39,630 --> 00:49:43,910
2271
+ density ูƒุงู†ุช ุงู„ raw ุญุณุจ ู‡ูˆ ุงุนุทูŠู†ูŠ ู‡ู†ุง ุงู„ note
2272
+
2273
+ 569
2274
+ 00:49:43,910 --> 00:49:48,350
2275
+ ุจุชูƒูˆู†
2276
+
2277
+ 570
2278
+ 00:49:48,350 --> 00:49:51,690
2279
+ ู‡ุฐู‡ ุงุฐุง .. ุงุฐุง ุงุณุชุฎุฏู…ุช thermocable if .. if I use
2280
+
2281
+ 571
2282
+ 00:49:51,690 --> 00:49:56,510
2283
+ a thermocable to measure temperature ุงู„ bias ุจู‚ู„
2284
+
2285
+ 572
2286
+ 00:49:57,490 --> 00:50:00,790
2287
+ ุงู†ุง ุฎู„ุต ู…ุนุฑูุฉ ุงู„ุญูˆุงุฏุซ ุจุงู„ุธุจุท ูุงู„ bias ุงู„ุดู…ุงู„ู‡ ุจู‚ู„
2288
+
2289
+ 573
2290
+ 00:50:00,790 --> 00:50:05,650
2291
+ ู‡ุฐู‡ point two ุงุฐุง ุงุณุชุฎุฏู…ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ handbook ู…ุด
2292
+
2293
+ 574
2294
+ 00:50:05,650 --> 00:50:10,970
2295
+ ุจุฏูˆู† ู‚ูŠุงุณ ูˆ ุงุณุชุฎุฏู…ุช ุงู„ู„ูŠ ู‡ูŠ room temperature ุนุดุฑูŠู†
2296
+
2297
+ 575
2298
+ 00:50:10,970 --> 00:50:15,930
2299
+ ุฏุฑุฌุฉ ุงู„ precision answer to say ุงูˆ standard
2300
+
2301
+ 576
2302
+ 00:50:15,930 --> 00:50:21,460
2303
+ deviation ุงู„ู„ูŠ ู‡ูŠ point 002 percentุฃุฎุฑุด ุงู„
2304
+
2305
+ 577
2306
+ 00:50:21,460 --> 00:50:25,440
2307
+ pressure delta P ุญูƒูŠู†ุง ุงู„ bias point one percent ูˆ
2308
+
2309
+ 578
2310
+ 00:50:25,440 --> 00:50:31,780
2311
+ ุงู„ standard deviation ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉ ุงู„ุงู† ู‡ุงู†ุง ู…ู„ุฎุต
2312
+
2313
+ 579
2314
+ 00:50:31,780 --> 00:50:37,600
2315
+ ุงู„ุชุฌุฑุจุฉ ุงู„ุงู† ูƒูŠู ู‡ู†ุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ุงู„ uncertainty ุจุบุถ
2316
+
2317
+ 580
2318
+ 00:50:37,600 --> 00:50:40,280
2319
+ ุงู„ู†ุธุฑ ุงู„ uncertainty ููŠู‡ ู†ูˆุนูŠู† ููŠ bias uncertainty
2320
+
2321
+ 581
2322
+ 00:50:41,260 --> 00:50:44,560
2323
+ ูˆ ููŠ ุนู†ุฏู‰ random ุงูˆ precision answer ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ
2324
+
2325
+ 582
2326
+ 00:50:44,560 --> 00:50:48,420
2327
+ ู†ุฑุฌุน ู„ู„ู…ุนุงุฏู„ุฉ ุงู„ู„ู‰ ู‡ู‰ ู…ุนุงุฏู„ุฉ ุณุจุนุฉ ูˆ ุชู„ุงุชูŠู† ูู‰
2328
+
2329
+ 583
2330
+ 00:50:48,420 --> 00:50:55,900
2331
+ ุงู„ูƒุชุงุจ ุงู„ู„ู‰ ู‡ู‰ ุฎู…ุณุฉ ูˆ ุชู„ุงุชูŠู† ู…ุนุงุฏู„ุฉ ุฎู…ุณ ุชู„ุงุชูŠู† ู‡ุฐู‡
2332
+
2333
+ 584
2334
+ 00:50:55,900 --> 00:51:04,620
2335
+ ุฎู…ุณุฉ ูˆ ุชู„ุงุชูŠู† ุทูŠุจ
2336
+
2337
+ 585
2338
+ 00:51:04,620 --> 00:51:09,740
2339
+ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ู„ู‰ ุนู†ุฏู‰ some variable ุงู„ variable
2340
+
2341
+ 586
2342
+ 00:51:09,740 --> 00:51:13,450
2343
+ ุงู„ุญุงู„ู‡ ู‡ุฏุง ุนู†ุฏู‰ ุฅูŠู‡ุงุดุงู„ู€ dependent variable ุงูŠุด
2344
+
2345
+ 587
2346
+ 00:51:13,450 --> 00:51:23,970
2347
+ ู‡ูˆุŸ K it's a function of weight, d, rho, time,
2348
+
2349
+ 588
2350
+ 00:51:24,650 --> 00:51:32,490
2351
+ delta, P ุฎู…ุณุฉ variables ู…ุนู†ุงุชู‡ ู†ูƒุชุจ ู…ุนุงุฏู„ุฉ ุนู†ุฏูŠ U
2352
+
2353
+ 589
2354
+ 00:51:32,490 --> 00:51:36,830
2355
+ ุงู„ uncertainุฉ ุจุบุถ ุงู„ู†ุธุฑ ุนู†ู‡ุง ุจูŠุงุฒ ุงูˆ
2356
+
2357
+ 590
2358
+ 00:51:44,490 --> 00:51:52,630
2359
+ ู„ู„ Y ุงู†ุง Y ุณูˆุงุก ุฌุฒุฑ ุงู„ุชุฑุจูŠุนูŠ ุงู„ู‰ Dy by DX ูˆุงุญุฏ ููŠ
2360
+
2361
+ 591
2362
+ 00:51:52,630 --> 00:52:02,970
2363
+ U ูˆุงุญุฏ ู„ูƒู„ ุชุฑุจูŠุน ุฒุงุฆุฏ Dy by DX ุงุชู†ูŠู† U ุงุชู†ูŠู† ู„ูƒู„
2364
+
2365
+ 592
2366
+ 00:52:02,970 --> 00:52:05,350
2367
+ ุชุฑุจูŠุน ุฒุงุฆุฏ
2368
+
2369
+ 593
2370
+ 00:52:07,640 --> 00:52:16,120
2371
+ dy by dxn ููŠ un ู„ูƒู„ ุชุฑุจูŠุน ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุฃุณุงุณูŠุฉ
2372
+
2373
+ 594
2374
+ 00:52:16,120 --> 00:52:21,380
2375
+ ุงู„ุงู† ุงุญู†ุง ู„ุฏูŠู†ุง
2376
+
2377
+ 595
2378
+ 00:52:21,380 --> 00:52:26,080
2379
+ ู„ุฏูŠู†ุง
2380
+
2381
+ 596
2382
+ 00:52:26,080 --> 00:52:33,720
2383
+ ุงู„ K ู‡ุงูŠ ุงู„ K ุงู„ K ุจุงู„ุณูˆุก
2384
+
2385
+ 597
2386
+ 00:52:33,720 --> 00:52:34,620
2387
+ ุฃุฑุจุนุฉ W
2388
+
2389
+ 598
2390
+ 00:52:38,460 --> 00:52:42,480
2391
+ ุนู„ู‰ ุจุงู‰ D
2392
+
2393
+ 599
2394
+ 00:52:42,480 --> 00:52:53,200
2395
+ ุชุฑุจูŠุน T ุงู„ุฌุฒุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ูˆุงุญุฏ ุนู„ู‰ ุงุชู†ูŠู† ุฑูˆ Delta B
2396
+
2397
+ 600
2398
+ 00:52:53,200 --> 00:53:04,540
2399
+ ุฎู„ู†ุง ู†ูƒุชุจู‡ุง ุจุตูŠุบุฉ ุชุงู†ูŠุฉ ุฃุฑุจุนุฉ W ุนู„ู‰ ุจุงู‰ D ุชุฑุจูŠุน T
2400
+
2401
+ 601
2402
+ 00:53:04,540 --> 00:53:08,140
2403
+ ุฃุฑุจุนุฉ
2404
+
2405
+ 602
2406
+ 00:53:10,620 --> 00:53:20,440
2407
+ ุงุฑุจุน ุนู„ู‰ ุจุงูŠ ููŠ ุจุงูŠ ุฌุฒุฑ ุงุชู†ูŠู† ุจุฏูŠ ุงุนู…ู„ู‡ ุฒูŠ ู‡ูŠูƒ ููŠ
2408
+
2409
+ 603
2410
+ 00:53:20,440 --> 00:53:35,860
2411
+ W ููŠ D ุงุตู†ุงู‚ุณ ุงุชู†ูŠู† ููŠ T ุงุตู†ุงู‚ุณ ูˆุงุญุฏ ููŠ ุฑูˆ ุงุตู†ุงู‚ุณ
2412
+
2413
+ 604
2414
+ 00:53:35,860 --> 00:53:46,280
2415
+ ู†ุตุฏู„ุชุง ุจูŠ ูˆุงู„ุณุงู„ุจ ู†ุต ู„ุงู†
2416
+
2417
+ 605
2418
+ 00:53:46,280 --> 00:53:51,140
2419
+ ุจุฏูŠ ุงุญุณุจ ุฏูŠ ูƒูŠ
2420
+
2421
+ 606
2422
+ 00:53:51,140 --> 00:54:01,640
2423
+ ุจุงูŠ ุฏูŠ ุฏุงุจู„ูŠูˆ ู‡ุชูƒูˆู† ุงุฑุจุน ุจุงูŠ ุงุฑุจุน ุนู„ู‰ ุจุงูŠ ุฌุฒุฑ
2424
+
2425
+ 607
2426
+ 00:54:04,860 --> 00:54:23,880
2427
+ 2D-2T-1R-0.5Delta V-0.5 ุฏูŠ ูƒูŠ ุจูŠ ุฏูŠ ุฏูŠ
2428
+
2429
+ 608
2430
+ 00:54:28,350 --> 00:54:35,750
2431
+ ู‡ุฐู‡ ุงู„ู…ุนุงุฑู ู†ุงู‚ุต ุงุชู†ูŠู† ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ ู†ุงู‚ุต ุชู…ุงู†ูŠุฉ ุนู„ู‰
2432
+
2433
+ 609
2434
+ 00:54:35,750 --> 00:54:47,270
2435
+ ุจุงู‰ ุฌุฒุฑ ุงู„ุงุชู†ูŠู† W ุฏูŠู‚ุต ู†ุงู‚ุต ุชู„ุงุชุฉ ููŠ T ุงู‚ุต ู†ุงู‚ุต
2436
+
2437
+ 610
2438
+ 00:54:47,270 --> 00:54:54,250
2439
+ ูˆุงุญุฏ ุฑูˆ ุงู‚ุต ู†ุงู‚ุต ู†ุต Delta V ุณุงู„ุจ ู†ุต
2440
+
2441
+ 611
2442
+ 00:55:04,750 --> 00:55:17,850
2443
+ ุงู„ุชุงู„ุชุฉ ุงู„ุฒู…ู† ุฏูŠ ูƒ ุจูŠ ุฏูŠ ุชูŠ ู‡ูŠ ุงู„ุฒู…ู† ู‡ุชูƒูˆู† minus
2444
+
2445
+ 612
2446
+ 00:55:17,850 --> 00:55:25,750
2447
+ ุงุฑุจุนุฉ ุนู„ู‰ ุจุงูŠ ุฌุฒุฑ ุงุชู†ูŠู†
2448
+
2449
+ 613
2450
+ 00:55:29,230 --> 00:55:38,130
2451
+ ุฏุงู„ุจ D ุฃุณุงู„ุจ ุงุชู†ูŠู† T ุฃุณุงู„ุจ ุงุชู†ูŠู† ุฑูˆ ุฃุณุงู„ุจ ู†ุต ุฏู„ุชุง
2452
+
2453
+ 614
2454
+ 00:55:38,130 --> 00:55:52,890
2455
+ P ุฃุณุงู„ุจ ู†ุต and DK by DT by D ุฑูˆ ุณุชูƒูˆู†
2456
+
2457
+ 615
2458
+ 00:55:52,890 --> 00:56:03,270
2459
+ ุณุงู„ุจ ู†ุต ูŠุนู†ูŠ ุณุชูƒูˆู† ุณุงู„ุจ ุงุชู†ูŠู† ุนู„ู‰ ุจุงูŠุฌุฒุฑ ุงู„ุงุชู†ูŠู† W
2460
+
2461
+ 616
2462
+ 00:56:03,270 --> 00:56:14,090
2463
+ D ุณุงู„ุจ ุงุชู†ูŠู† T ุณุงู„ุจ ูˆุงุญุฏ ุฑูˆ ุณุงู„ุจ ุชู„ุงุชุฉ ุนู„ู‰ ุงุชู†ูŠู†
2464
+
2465
+ 617
2466
+ 00:56:14,090 --> 00:56:27,510
2467
+ Delta P ุณุงู„ุจ ู†ุต ูˆ D K by D Delta P ุจุชุณุงูˆูŠ ุณุงู„ุจ
2468
+
2469
+ 618
2470
+ 00:56:27,510 --> 00:56:37,300
2471
+ ุงุชู†ูŠู†ุชู„ุงุชุฉ ุนู„ู‰ ุงุชู†ูŠู† ุนู„ู‰ by ุฌุฒุฑ ุงุชู†ูŠู† W D ุณุงู„ุจ
2472
+
2473
+ 619
2474
+ 00:56:37,300 --> 00:56:46,300
2475
+ ุงุชู†ูŠู† T ุณุงู„ุจ ูˆุงุญุฏ ุฑูˆ ุณุงู„ุจ ู†ุต Delta P ุณุงู„ุจ ุณุงู„ุจ
2476
+
2477
+ 620
2478
+ 00:56:46,300 --> 00:56:52,640
2479
+ ุชู„ุงุชุฉ ุนู„ู‰ ุงุชู†ูŠู† ู†ุนูˆุฏ
2480
+
2481
+ 621
2482
+ 00:56:52,640 --> 00:56:56,840
2483
+ ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ู‡ูŠูƒูˆู†
2484
+
2485
+ 622
2486
+ 00:57:00,020 --> 00:57:02,560
2487
+ ุฎู„ุงุต ุตุฑู†ุง ุนุงุฑููŠู† ุงู†ุง ู‡ูˆ ุจู†ุณู‡ู„ ู…ุด ู…ู‡ู… ูƒุชูŠุฑ ุงู†ุฏูŠ
2488
+
2489
+ 623
2490
+ 00:57:02,560 --> 00:57:07,680
2491
+ ู„ุงู†ู‡ ุงูŠุด ู‡ุชุฑุจุน ููŠ ุงู„ุขุฎุฑ ู…ุด ู‡ุชูƒูˆู† ุฏู‡ ุชู†ุจูŠู‡ ู„ุงู† DB
2492
+
2493
+ 624
2494
+ 00:57:07,680 --> 00:57:16,320
2495
+ ุนู„ู‰ K ุงูˆ UK ุนู„ู‰ K ุนู„ู‰
2496
+
2497
+ 625
2498
+ 00:57:16,320 --> 00:57:21,960
2499
+ K ูุงู†ุง ุงุญูƒูŠ ุงู„ K ุจุฏู‡ ุงุญุทู‡ุง ุน ุฌู†ุจ ุงู†ุง ุงู„ K ุนู†ุฏู‰
2500
+
2501
+ 626
2502
+ 00:57:21,960 --> 00:57:28,240
2503
+ ูุงู†ุฏูŠ four WK ุนู„ู‰ ูŠุนู†ูŠ ุญุถุฑู
2504
+
2505
+ 627
2506
+ 00:57:31,970 --> 00:57:37,190
2507
+ ูŠุนู†ูŠ ู‡ุถุฑู‡ ููŠ K U K ูŠุนู†ูŠ ุจู‚ู‰ U K ุนู„ู‰ K ูˆ ู‡ุญุท ุงู„ุฌุฒุฑ
2508
+
2509
+ 628
2510
+ 00:57:37,190 --> 00:57:44,830
2511
+ ู‡ูŠู„ู‡ู… ู…ุน ุจุนุถ ุทุจ U K ุนู„ู‰ K ุจุงู„ุณุงูˆูŠุฉ
2512
+
2513
+ 629
2514
+ 00:57:44,830 --> 00:57:54,490
2515
+ ุงู„ุฌุฒุฑ ุงู„ุชุฑุจูŠุนูŠ ุนุดุงู† ุฏูŠ K by
2516
+
2517
+ 630
2518
+ 00:57:54,490 --> 00:58:00,330
2519
+ H by W ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
2520
+
2521
+ 631
2522
+ 00:58:06,610 --> 00:58:12,030
2523
+ ุงุฑุจุนุฉ ุนู„ู‰ .. ุจุฏูŠ ุงุนู…ู„ ูˆุงุญุฏุฉ ุจุนุฏูŠู† ููŠู‡ุง ุงุฎุชุตุงุฑุงุช
2524
+
2525
+ 632
2526
+ 00:58:12,030 --> 00:58:16,290
2527
+ ูƒุชูŠุฑ ูŠุนู†ูŠ ุงู†ุง ู‡ุนูˆุถ ู‡ุงูŠ ู…ุนุงุฏู„ุฉ ุงุฑุจุนุฉ ูŠุนู†ูŠ ุงู†ุง ู‡ุนูˆุถ
2528
+
2529
+ 633
2530
+ 00:58:16,290 --> 00:58:19,790
2531
+ ู‡ุญูƒูŠ ุงู†ู‡ UK ุนู„ู‰ K ู‡ูƒุชุจ ู…ุนุงุฏู„ุฉ ุจุนุฏูŠู† ู‡ุนูˆุถูˆู‡ุง ุงู†ุชูˆุง
2532
+
2533
+ 634
2534
+ 00:58:19,790 --> 00:58:31,290
2535
+ ู„ุญุงู„ูƒู… ู‡ูƒุชุจู‡ุง ู‡ู†ุง DK by DW ููŠ ุงู„ U ุจุชุงุนุฉ ุงู„ W ุงู„ูƒู„
2536
+
2537
+ 635
2538
+ 00:58:31,290 --> 00:58:44,010
2539
+ ุชุฑุจูŠุฉ ุฒุงุฏDK by DD ููŠ ุงู„ู€ U ุชุงุนุฉ D ุงู„ูƒู„ ุชุฑุจูŠุฉ ุฒุงุฏ
2540
+
2541
+ 636
2542
+ 00:58:44,010 --> 00:58:59,490
2543
+ DK by DT ููŠ ุงู„ู€ U ุชุงุนุฉ T ุงู„ูƒู„ ุชุฑุจูŠุฉ ุฒุงุฏ DK by D
2544
+
2545
+ 637
2546
+ 00:58:59,490 --> 00:59:08,630
2547
+ rho ููŠ ุงู„ู€ U ุชุงุนุฉ R ุงู„ูƒู„ ุชุฑุจูŠุฉุฒุงุฏ ุฏูŠ ูƒูŠ ุจูŠ ุฏูŠ ุฏู„ุชุง
2548
+
2549
+ 638
2550
+ 00:59:08,630 --> 00:59:16,850
2551
+ ุจูŠ ููŠ ุงู„ U ุชุงุนุฉ ุงู„ Delta P ูˆุนูˆุถู‡ ู…ุนุงุฏู„ุงุช ู‡ุฐู‡ ูƒู„ู‡ุง
2552
+
2553
+ 639
2554
+ 00:59:16,850 --> 00:59:24,490
2555
+ ู‡ู†ุตู„ ู„ู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ U K ุนู„ู‰ K ุจุงู„ุณุงูˆูŠุฉ U ุงู„
2556
+
2557
+ 640
2558
+ 00:59:24,490 --> 00:59:26,750
2559
+ uncertainty ููŠ ุงู„ุทุจุงุฑุงุช ู‡ู†ุง ุจุญูƒูŠ ุนู† ุงู„ uncertainty
2560
+
2561
+ 641
2562
+ 00:59:26,750 --> 00:59:31,290
2563
+ in general ู…ู…ูƒู† ุงุนูˆุถ ุนู†ู‡ุง ู…ุฑุฉ ุจูŠุงุฒ
2564
+
2565
+ 642
2566
+ 00:59:32,600 --> 00:59:37,820
2567
+ ูˆ ู…ุฑุฉ precision ูู‡ุฐู‡ uncertainty in general ู…ู…ูƒู†
2568
+
2569
+ 643
2570
+ 00:59:37,820 --> 00:59:41,860
2571
+ ุชูƒูˆู† bias ุงูˆ precision ู‡ุชูƒูˆู† UK ุงู„ uncertainty ููŠ
2572
+
2573
+ 644
2574
+ 00:59:41,860 --> 00:59:44,340
2575
+ ุงู„ K ุจุบุถ ุงู„ู†ุธุฑ ู‡ูŠ ุงู„ bias ูˆ ุงู„ uncertainty ุจุณุชูˆูŠ
2576
+
2577
+ 645
2578
+ 00:59:44,340 --> 00:59:48,940
2579
+ UW ุนู„ู‰ W ุงู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุงุชู†ูŠู† UD ุนู„ู‰ D ุงู„ูƒู„ ุชุฑุจูŠุฉ
2580
+
2581
+ 646
2582
+ 00:59:48,940 --> 00:59:54,440
2583
+ ุฒูŠ UT ุนู„ู‰ T ุงู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุงู„ู†ุตู ููŠ U rho ุนู„ู‰ rho
2584
+
2585
+ 647
2586
+ 00:59:54,440 --> 00:59:59,540
2587
+ ุงู„ูƒู„ ุชุฑุจูŠุฉ ุฒูŠ ุงู„ู†ุตู U Delta P ุนู„ู‰ Delta P ุงู„ูƒู„
2588
+
2589
+ 648
2590
+ 00:59:59,540 --> 01:00:01,340
2591
+ ุชุฑุจูŠุฉ ู‚ุต ู†ุตู
2592
+
2593
+ 649
2594
+ 01:00:04,390 --> 01:00:08,510
2595
+ ุทูŠุจ ู‡ูˆ ุนู„ู‰ ููƒุฑุฉ ุงุณุชุฎุฏู… ู…ุนุงุฏู„ุฉ 38 ู„ุฃู† ู…ุนุงุฏู„ุฉ ุดูƒู„ู‡ุง
2596
+
2597
+ 650
2598
+ 01:00:08,510 --> 01:00:11,970
2599
+ ู†ูุณ ุดูƒู„ ุงู„ู…ุนุงุฏู„ุฉ ุจุชุงุนุฉ ุงู„ example ูˆุงุถุญ ูˆุถุญูƒุชู„ูƒูˆุง
2600
+
2601
+ 651
2602
+ 01:00:11,970 --> 01:00:17,750
2603
+ ู‡ุฐูŠ ูƒุงู†ุช X ุฃุณ M Y ุฃุณ X ูˆุงุญุฏ ุฃุณ M ููŠ X ุงุชู†ูŠู† ุฃุณ N
2604
+
2605
+ 652
2606
+ 01:00:17,750 --> 01:00:24,210
2607
+ ุนู„ู‰ X ุชู„ุงุชุฉ ุฃุณ K ู…ุซู„ุง ุดูƒู„ ุงู„ู…ุนุงุฏู„ุฉ ููŠ ุงู„ example
2608
+
2609
+ 653
2610
+ 01:00:24,210 --> 01:00:28,990
2611
+ ุงู„ู„ูŠ ู‡ูŠ ู…ุนุงุฏู„ุฉ 38 ุจุดุจู‡ ุดูƒู„ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ูƒู„ู‡ุง ุฃุณุณ
2612
+
2613
+ 654
2614
+ 01:00:28,990 --> 01:00:33,960
2615
+ power equation ูŠุนู†ูŠ power equationู„ุฃ ูƒุฏู‡ ุฃู†ุง ูุถู„ุช
2616
+
2617
+ 655
2618
+ 01:00:33,960 --> 01:00:36,700
2619
+ ุฃุณุชุฎุฏู… ุงู„ู…ุนุงุฏู„ุฉ ุงู„ุนุงู…ุฉ ุจุบุถ ู†ุธุฑ ุนู† ู†ูˆุน ุงู„ู…ุนุงุฏู„ุฉ ุฃูˆ
2620
+
2621
+ 656
2622
+ 01:00:36,700 --> 01:00:40,500
2623
+ ุดูƒู„ ุงู„ู…ุนุงุฏู„ุฉ ูˆ ุจุตุฏุฑ ุงู„ู†ุชูŠุฌุฉ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ ู‡ูŠ ุงู„
2624
+
2625
+ 657
2626
+ 01:00:40,500 --> 01:00:44,700
2627
+ uncertainty in general ุจุบุถ ู†ุธุฑ ูƒุงู†ุช bias
2628
+
2629
+ 658
2630
+ 01:00:44,700 --> 01:00:49,420
2631
+ uncertainty ุงูˆ ูƒุงู†ุช precision ุงูˆ random
2632
+
2633
+ 659
2634
+ 01:00:49,420 --> 01:00:53,040
2635
+ uncertainty ุงู„ุฃู† ู‡ุชูƒูˆู† ุนู†ุฏูŠ ู…ุนู†ุงุชู‡ ู…ุนุงุฏู„ุชูŠู† ู‡ุฐู‡
2636
+
2637
+ 660
2638
+ 01:00:53,040 --> 01:01:01,850
2639
+ ู‡ุชูƒูˆู† ู‡ุนู…ู„ ู…ุนุงุฏู„ุฉ ู„ู„ bias ูˆ ู…ุนุงุฏู„ุฉ ุงูŠุดู„ู„ precision
2640
+
2641
+ 661
2642
+ 01:01:01,850 --> 01:01:05,650
2643
+ ู„ุงู† ุงู†ุง ููŠ ุงู„ุฌุฏูˆู„ ุงู„ุณุงุจู‚ ู„ุฎุตุช ู‡ูŠ ุงู„ precision
2644
+
2645
+ 662
2646
+ 01:01:05,650 --> 01:01:12,190
2647
+ uncertainty ูˆู‡ูŠ ุงู„ bias
2648
+
2649
+ 663
2650
+ 01:01:12,190 --> 01:01:16,030
2651
+ uncertainty ูˆู‡ูŠ ุงู„ precision uncertainty ู†ูŠุฌูŠ ู‡ู†ุง
2652
+
2653
+ 664
2654
+ 01:01:16,030 --> 01:01:21,650
2655
+ ุงู„ bias uncertainty
2656
+
2657
+ 665
2658
+ 01:01:22,550 --> 01:01:27,490
2659
+ ุนูˆุถ ุนู„ูŠู‡ู… ู„ุงู† ุงู„ radian ู‡ูˆ ุนู†ุฏู‡ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2660
+
2661
+ 666
2662
+ 01:01:27,490 --> 01:01:27,910
2663
+ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2664
+
2665
+ 667
2666
+ 01:01:27,910 --> 01:01:28,250
2667
+ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2668
+
2669
+ 668
2670
+ 01:01:28,250 --> 01:01:35,670
2671
+ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2672
+
2673
+ 669
2674
+ 01:01:35,670 --> 01:01:37,750
2675
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2676
+
2677
+ 670
2678
+ 01:01:37,750 --> 01:01:37,790
2679
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ
2680
+
2681
+ 671
2682
+ 01:01:37,790 --> 01:01:45,730
2683
+ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ ูˆ ุจูŠ
2684
+
2685
+ 672
2686
+ 01:01:45,730 --> 01:01:51,630
2687
+ ูˆ
2688
+
2689
+ 673
2690
+ 01:01:51,630 --> 01:01:57,400
2691
+ ุจDensity Delta P ุนูˆุถ ุนู†ู‡ู… ู…ู† ุงู„ุฌุฏูˆู„ ุงู„ุณุงุจู‚ ููŠู‡ ุดูŠ
2692
+
2693
+ 674
2694
+ 01:01:57,400 --> 01:02:01,520
2695
+ ุณูุฑ ุชุทู„ุน ุงู„ bias uncertainty one point oh eight
2696
+
2697
+ 675
2698
+ 01:02:01,520 --> 01:02:07,260
2699
+ ุชู…ุงู†ูŠุฉ ุจุฏุฑุฌ ุชูŠุงุจูƒู… ุฎู…ุณุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุทุจุนุง ุงุญู†ุง
2700
+
2701
+ 676
2702
+ 01:02:07,260 --> 01:02:11,060
2703
+ ู†ูุชุฑุถ ุงู† ุฏุฑุฌ ุชูŠุงุจูƒู… ููŠ ูƒู„ ุงู„ู‚ูŠุงุณุงุช ู†ูุณ ุงู„ุงุดูŠ ุทุจุนุง
2704
+
2705
+ 677
2706
+ 01:02:11,060 --> 01:02:16,640
2707
+ ุนู…ุฑูŠุง ุจูŠูƒูˆู†ุด ู†ูุณ ุงู„ุงุดูŠ ุงู„
2708
+
2709
+ 678
2710
+ 01:02:16,640 --> 01:02:20,700
2711
+ precision ุงูˆ ุงู„ random ุงูˆ ู…ุงู‚ุฏุฑุด ุงุญูƒูŠ ุงู„ standard
2712
+
2713
+ 679
2714
+ 01:02:20,700 --> 01:02:21,240
2715
+ deviation
2716
+
2717
+ 680
2718
+ 01:02:24,360 --> 01:02:27,600
2719
+ ุงู„ุงู† ุงู„ uncertainty ู‡ุชุดูˆู ูƒูŠู ู‡ู†ุญุณุจ ู„ุฅู†ูŠ ุนู†ุฏูŠ ู‡ุฐู‡
2720
+
2721
+ 681
2722
+ 01:02:27,600 --> 01:02:31,180
2723
+ single reading ุงูˆู„ ุดูŠ ู‡ุชุญุณุจ ุงู„ standard deviation
2724
+
2725
+ 682
2726
+ 01:02:31,180 --> 01:02:35,640
2727
+ of K ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ู†ูุณ ุงู„ู…ุนุงุฏู„ุฉ ุจุฏู„ ู…ุง ู‡ูŠ
2728
+
2729
+ 683
2730
+ 01:02:35,640 --> 01:02:40,120
2731
+ uncertainty standard deviation ุจุนูˆุฏ ู…ู† ุงู„ table
2732
+
2733
+ 684
2734
+ 01:02:40,120 --> 01:02:43,320
2735
+ ุงู†ุง ู…ู† ุงู„ table ุฌุจุช ุงู„ un ุงู„ู„ูŠ ุฌุจุช ุงู„ู„ูŠ ู‡ูˆ ุงู„
2736
+
2737
+ 685
2738
+ 01:02:43,320 --> 01:02:47,920
2739
+ standard deviation ุจุนูˆุฏ ุนู† ุงู„ู‚ูŠู… ู‡ุฐู‡ ุนู„ู‰ ุฃู‚ุตู‰
2740
+
2741
+ 686
2742
+ 01:02:47,920 --> 01:02:52,660
2743
+ ุงู„ูŠู…ูŠู†ููŠ ุงู„ู…ุนุงุฏู„ุฉ ู‡ุฐู‡ ุจุญุณุจ ุงู„ standard deviation
2744
+
2745
+ 687
2746
+ 01:02:52,660 --> 01:02:56,520
2747
+ ููŠ ุงู„ K ุจุนุฏ ู…ุง ุญุณุจ ุงู„ standard deviation ููŠ ุงู„ K
2748
+
2749
+ 688
2750
+ 01:02:56,520 --> 01:03:01,900
2751
+ ุจุญุณุจ ุงู„ู„ูŠ ู‡ูˆ ู„ุฅู†ู‡ ุนู†ุฏูŠ single sample ุจุญุณุจ ุงู„
2752
+
2753
+ 689
2754
+ 01:03:01,900 --> 01:03:05,520
2755
+ uncertainty ุงู„ precision answer ููŠ ุงู„ K ุงู„ู„ูŠ ู‡ูŠ PK
2756
+
2757
+ 690
2758
+ 01:03:05,520 --> 01:03:13,640
2759
+ PK ุนู„ู‰ K ุจูŠุณุชูˆู‰ ูˆุงุญุฏ ูˆุงู† ุชุณุนุฉ ุณูŠุฌู…ุง K ุนู„ู‰ K ูˆุงุญุฏ
2760
+
2761
+ 691
2762
+ 01:03:13,640 --> 01:03:17,500
2763
+ ูˆุงู† ุชุณุนุฉ ุชุณุนุฉ ูŠุนู†ูŠ ุจุญูƒูŠ ุนู† ุฏุฑุฌุฉ ุชู‚ู†ุงุดุฎู…ุณุฉ ูˆุชุณุนูŠู†
2764
+
2765
+ 692
2766
+ 01:03:17,500 --> 01:03:21,980
2767
+ ููŠ ุงู„ู…ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุชู‚ุฑูŠุจุง plus or minus two sigma
2768
+
2769
+ 693
2770
+ 01:03:21,980 --> 01:03:26,780
2771
+ ุชู‚ุฑูŠุจุง ูุฑุฏุฑ one point ุณุชุฉ ุณุชุฉ ููŠ ุงู„ standard
2772
+
2773
+ 694
2774
+ 01:03:26,780 --> 01:03:31,260
2775
+ deviation ููŠ ุงู„ precision ุชุนุทูŠู†ูŠ ุงูŠุด ุงู„ู„ูŠ ู‡ูŠ two
2776
+
2777
+ 695
2778
+ 01:03:31,260 --> 01:03:35,060
2779
+ point two ุงู„ู„ูŠ ู‡ูŠ ุงู„ precision uncertainty ุจุนุฏูƒ
2780
+
2781
+ 696
2782
+ 01:03:35,060 --> 01:03:38,960
2783
+ ุจุญุณุจ ุงู„ total uncertainty ุงู„ู„ูŠ ู‡ูŠ ุฌุฒุก ุงู„ุชุฑุจูŠุน ู„ู„
2784
+
2785
+ 697
2786
+ 01:03:38,960 --> 01:03:42,200
2787
+ bias uncertainty ุงู„ุชุฑุจูŠุน ุฒุงุฏ ุงู„ precision
2788
+
2789
+ 698
2790
+ 01:03:42,200 --> 01:03:43,820
2791
+ uncertainty ุงู„ุชุฑุจูŠุน ุงู„ู„ูŠ ู‡ูŠ ู‡ุฐู‡ ุงู„ู…ุนุงุฏู„ุฉ
2792
+
2793
+ 699
2794
+ 01:03:46,570 --> 01:03:54,190
2795
+ ูุทู„ุนุช ุนู†ุฏู‰ ุงู„ total uncertainty ููŠ ุงู„ K 2.45%
2796
+
2797
+ 700
2798
+ 01:03:54,190 --> 01:04:08,810
2799
+ ุจุฏุฑุฌุฉ ุชู‚ู† 95% ุทูŠุจ ุงู„ุขู† ุทู„ุนู†ุง ู†ุชุงุฌ ุฎู†ุจุฏุฃ
2800
+
2801
+ 701
2802
+ 01:04:08,810 --> 01:04:12,150
2803
+ ู†ุญู„ู„ ููŠ ุงู„ู†ุชุงุฌ ุฏุงูŠู…ุง .. ุฏุงูŠู…ุง
2804
+
2805
+ 702
2806
+ 01:04:17,120 --> 01:04:22,400
2807
+ ุงู„ุงุฑู‚ุงู… ุงูˆ ุงู†ุง ุจุณู…ูŠู‡ุง ู…ุง ูŠุณู…ู‰ ู„ุนุจุฉ ุงู„ุฃุฑู‚ุงู… ู„ุนุจุฉ
2808
+
2809
+ 703
2810
+ 01:04:22,400 --> 01:04:26,280
2811
+ ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ุงู„ู…ู‡ุงุฑ ุงู„ู„ูŠ ุจูŠูƒูˆู†ูˆุง ุจุชุทูˆุฑูˆู‡ุง ุงู† ูˆ ุนู†ุฏูƒ
2812
+
2813
+ 704
2814
+ 01:04:26,280 --> 01:04:30,640
2815
+ ุฃุฑู‚ุงู… ุจุฏูƒ
2816
+
2817
+ 705
2818
+ 01:04:30,640 --> 01:04:38,760
2819
+ ุชุนุฑู ูƒูŠู ุชู„ุนุจ ููŠ ุงู„ุฃุฑู‚ุงู… ูˆ ูƒูŠู ุชุทู„ุน ู…ู†ู‡ุง ู…ุนู„ูˆู…ุงุช ูˆ
2820
+
2821
+ 706
2822
+ 01:04:38,760 --> 01:04:45,650
2823
+ ูƒูŠู ุชุจู†ูŠ ุนู„ูŠู‡ุง ู‚ุฑุงุฑุงุชุชุญู„ูŠู„ูƒ ู„ุฃุฑู‚ุงู… ูˆ ูู‡ู…ูƒ ู„ุฃุฑู‚ุงู…
2824
+
2825
+ 707
2826
+ 01:04:45,650 --> 01:04:53,850
2827
+ ุตุญ ุจูŠุนุทูŠูƒ ุนู„ู‰ ุงู„ุฃุบู„ุจ ู‚ุฑุงุฑุงุช ุตุญ ุงู†ุง ุฏู‚ูŠู‚ ุจุญูƒูŠ ุนู„ู‰
2828
+
2829
+ 708
2830
+ 01:04:53,850 --> 01:04:56,990
2831
+ ุงู„ุฃุบู„ุจ ูŠุนู†ูŠ ู…ุด ุถุฑูˆุฑูŠ ูู‡ู…ูƒ ู„ุฃุฑู‚ุงู… ูˆ ุชุญู„ูŠู„ูƒ ุฃุฑู‚ุงู… ุตุญ
2832
+
2833
+ 709
2834
+ 01:04:56,990 --> 01:05:00,310
2835
+ ูŠุนุทูŠูƒ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู‚ุฑุงุฑ ุตุญ ุจุณ ุนู„ู‰ ุงู„ุฃุบู„ุจ ู‡ูŠุนุทูŠูƒ
2836
+
2837
+ 710
2838
+ 01:05:00,310 --> 01:05:09,130
2839
+ ู‚ุฑุงุฑ ุตุญ ุนุฏู… ูู‡ู…ูƒ ู„ุฃุฑู‚ุงู… ูˆ ูƒูŠู ุจุชุฃุซุฑ ูˆ ุชุญู„ูŠู„ูƒ ุฎุทุฃ
2840
+
2841
+ 711
2842
+ 01:05:09,130 --> 01:05:15,470
2843
+ ุฃูƒูŠุฏ ุชุทู„ุน ู‚ุฑุงุฑุงุชูƒ ุฎุทุฃุฃูˆ ุจุฏูŠ ุฃุญูƒูŠ ุนู† ุฃุบู„ุจ ุชุทู„ุน
2844
+
2845
+ 712
2846
+ 01:05:15,470 --> 01:05:21,370
2847
+ ู‚ุฑุงุฑุงุช ุฎุทุฃ ุจุณ ู…ู…ูƒู† ุชุทู„ุน ุตุญ ุจุงุญุชู…ุงู„ูŠุฉ ู‡ูŠุงุดู‡ ุถุนูŠูุฉ
2848
+
2849
+ 713
2850
+ 01:05:21,370 --> 01:05:26,730
2851
+ ุนุฌุช ู‡ูŠูƒ ุนุฌุช ุจุงู„ู‡ุจู„ ู…ุนุงู‡ ูˆ ุนุฌุช ุฎู„ุงุต ุตุฏูุช ู…ุนุงู‡ ูุทู„ุน
2852
+
2853
+ 714
2854
+ 01:05:26,730 --> 01:05:32,010
2855
+ ุนู†ุฏู‡ ุงู„ุฃุฑู‚ุงู… ูŠุนู†ูŠ ุงู„ู†ุชูŠุฌุฉ ุฃูˆ ุงู„ู‚ุฑุงุฑ ุงู„ุตุญ ุทูŠุจ
2856
+
2857
+ 715
2858
+ 01:05:35,000 --> 01:05:37,580
2859
+ ุจุฏู†ุง ู†ุดูˆู ุงุญู†ุง ุงู„ parameters having the greatest
2860
+
2861
+ 716
2862
+ 01:05:37,580 --> 01:05:41,560
2863
+ effect to uncertainty ุจุฏู†ุง ู†ุดูˆู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชุบูŠุฑุงุช
2864
+
2865
+ 717
2866
+ 01:05:41,560 --> 01:05:46,780
2867
+ ุงู„ู„ูŠ ู„ู‡ุง ุงู„ุฃุซุฑ ุงู„ุฃูƒุจุฑ ุนู„ู‰ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ K ุงู„ู„ูŠ
2868
+
2869
+ 718
2870
+ 01:05:46,780 --> 01:05:50,720
2871
+ ู‡ูˆ ุฃู†ุง ุงู„ู‡ุฏู ุจุชุงุนูŠ ุจุฏูŠ ุฃุญุณุจ ุงู„ K ูˆ ุงู„ uncertainty
2872
+
2873
+ 719
2874
+ 01:05:50,720 --> 01:06:02,100
2875
+ ููŠ ุงู„ K ุงุจุฌุนู‡ ุนู„ู‰ ุงู„ู…ุนุงุฏู„ุฉ ู‡ู†ุง
2876
+
2877
+ 720
2878
+ 01:06:13,280 --> 01:06:19,640
2879
+ ู„ุงุญุธูˆุง ููŠ ุงู„ .. ููŠ
2880
+
2881
+ 721
2882
+ 01:06:19,640 --> 01:06:27,040
2883
+ ุงู„ bias uncertainty ู…ูŠู† ู…ุฃุซุฑ ุฃูƒุชุฑ ุงู„ุดูŠุกุŸ
2884
+
2885
+ 722
2886
+ 01:06:27,040 --> 01:06:32,860
2887
+ ู†ุฑุฌุน ู„ู„ุฌุฏูˆู„ .. ู†ุฑุฌุน ู„ู„ุฌุฏูˆู„ุŒ ุฅูŠู‡ ู„ูˆ ู†ุทู„ุน ู‡ู†ุงุŸ
2888
+
2889
+ 723
2890
+ 01:06:36,710 --> 01:06:40,350
2891
+ ูˆุงุถุญ ุงู„ weight ูˆ ุงู„ diameter ูˆ ุงู„ .. ูˆ ุงู„ time is
2892
+
2893
+ 724
2894
+ 01:06:40,350 --> 01:06:46,470
2895
+ insignificant ุงู„ pressure ูŠุนู†ูŠ ุจูŠุฌูŠ ุฑู‚ู… ุชู„ุงุชุฉ
2896
+
2897
+ 725
2898
+ 01:06:46,470 --> 01:06:50,750
2899
+ ุจุนุฏูŠู† ุงู„ density ุฑู‚ู… ุงูŠุด ุงุฑุจุนุฉ ููŠ ุงู„ precision ุงูˆ
2900
+
2901
+ 726
2902
+ 01:06:50,750 --> 01:06:53,890
2903
+ ุงู„ standard deviation ูŠุนู†ูŠ ู‡ุฐุง ุงู„ุฎุทุฃ ูŠุนู†ูŠ ุจูŠุฏูŠุด ..
2904
+
2905
+ 727
2906
+ 01:06:53,890 --> 01:06:57,790
2907
+ ู‡ุฐุง ู…ุด ุงู„ uncertainty ู‡ุฐุง ุจูŠู…ุซู„ ุงู„ uncertainty
2908
+
2909
+ 728
2910
+ 01:06:57,790 --> 01:07:01,410
2911
+ ุจูŠู…ุซู„ ุงู„ uncertainty ู„ุงู† ุงู†ุง ุจุฏู‡ .. ุจุฏู‡ ุถุฑุจ ุฏุฑุฌุฉ
2912
+
2913
+ 729
2914
+ 01:07:01,410 --> 01:07:06,190
2915
+ ุงู„ุชูŠู‚ู† ุชุจุนุชูŠุฅุฐุง ุฏุฑุฌุฉ ุชูŠุงุจูƒู† ุนู†ุฏูŠ ุฎู…ุณ ุณู†ุชูŠู† ููŠ
2916
+
2917
+ 730
2918
+ 01:07:06,190 --> 01:07:10,050
2919
+ ุงู„ู…ูŠุฉ ู‡ุถุฑุจู‡ one point ุชุณุนุฉ ุณุชุฉ ุฅุฐุง ุฏุฑุฌุฉ ุชูŠุงุจูƒู†
2920
+
2921
+ 731
2922
+ 01:07:10,050 --> 01:07:20,510
2923
+ ุนู†ุฏูŠ plus or minus sigma ู‡ุถุฑุจู‡ point
2924
+
2925
+ 732
2926
+ 01:07:20,510 --> 01:07:21,490
2927
+ ุณุชุฉ ุชู…ุงู†ูŠุฉ
2928
+
2929
+ 733
2930
+ 01:07:28,460 --> 01:07:31,440
2931
+ ู„ุฃ plus or minus sigma ุฏุฑุฌุฉ ุชูŠู‚ู† ุจุชูƒูˆู† ุงูƒู… ุชู…ุงู†ูŠุฉ
2932
+
2933
+ 734
2934
+ 01:07:31,440 --> 01:07:35,360
2935
+ ุณุจุนุฉ ูˆ ุณุชุฉ ููŠ ุงู„ู…ูŠุฉ ุทูŠุจ ุนู†ุฏูŠ ู‡ู†ุง ุงู„ precision
2936
+
2937
+ 735
2938
+ 01:07:35,360 --> 01:07:40,300
2939
+ ูˆุงุถุญุฉ ูƒุชูŠุฑ ู„ูŠุด ุจูŠุฃุซุฑ ุนู†ุฏ ุงู„ time ูˆ ุฃูƒูŠุฏ ุฃู†ุง ุนู†ุฏู‰
2940
+
2941
+ 736
2942
+ 01:07:40,300 --> 01:07:43,680
2943
+ ุจูุชุญ ุตู…ุงู… ุงูุชุญ ูˆ ุฃุณูƒุฑ ู‡ุฐู‡ ุงู„ูุชุญุฉ ูˆ ุงู„ุชุณูƒูŠุฑุฉ ู‡ุฐู‡ ู‡ูŠ
2944
+
2945
+ 737
2946
+ 01:07:43,680 --> 01:07:47,060
2947
+ ุงู„ critical ูƒุชูŠุฑ ุนู†ุฏูŠ ุจุชูุฑูŠุฌ ูƒุชูŠุฑ ู…ุนุงูŠุง ููŠ ุงู„ุญุณุจุฉ
2948
+
2949
+ 738
2950
+ 01:07:47,060 --> 01:07:53,500
2951
+ ุงู„ time ุงู„ density is insignificant ูˆ ุงู„ pressure
2952
+
2953
+ 739
2954
+ 01:07:53,500 --> 01:07:57,700
2955
+ difference ุงู„ู„ูŠ ู‡ูˆ ุงู„ precision ููŠู‡ ูƒุจูŠุฑุจุนุฏูŠู† ุจูŠุฌูŠ
2956
+
2957
+ 740
2958
+ 01:07:57,700 --> 01:08:05,860
2959
+ ุฑู‚ู… ุชู„ุงุชุฉ ุงู„ูˆุงุชุฑ ู„ุงู† ุตุงุฑ ู„ู†ุง ุตูˆุฑุฉ ูƒู„ูŠุฉ ู„ุงู† ู„ู…ุง
2960
+
2961
+ 741
2962
+ 01:08:05,860 --> 01:08:15,300
2963
+ ู†ุญุณุจู†ุง ุงู„ total uncertainty ุนู†ุฏ
2964
+
2965
+ 742
2966
+ 01:08:15,300 --> 01:08:21,560
2967
+ ู‡ู†ุง ู‡ุฐุง ุงู„ bias uncertainty ูˆู‡ุฐุง ุงู„ precision
2968
+
2969
+ 743
2970
+ 01:08:21,560 --> 01:08:26,640
2971
+ uncertainty ุชู‚ุฑูŠุจุง ุงู„ุถุนู
2972
+
2973
+ 744
2974
+ 01:08:28,470 --> 01:08:35,670
2975
+ ู„ู…ุง ุฃุฑุจุน ูŠุนู†ูŠ ู…ุซู„ุง ุนู†ุฏูŠ ูˆุงุญุฏ ุงุนุชุจุฑู‡ุง ูƒุฃู†ู‡ุง ู…ุซู„ุซ
2976
+
2977
+ 745
2978
+ 01:08:35,670 --> 01:08:41,070
2979
+ ู‚ุงุฆู…ุฉ ุงู„ุฒุงูˆูŠุฉ ู‡ุงูŠ
2980
+
2981
+ 746
2982
+ 01:08:41,070 --> 01:08:49,890
2983
+ ุถู„ุน ุงุชู†ูŠู† ูˆู‡ุงูŠ ูˆุงุญุฏ ูˆุงู„ R ู‡ุฐุง ุจุงู„ุณุงูˆูŠ ุงู„ุฌุฐุฑ
2984
+
2985
+ 747
2986
+ 01:08:49,890 --> 01:08:55,750
2987
+ ุงู„ุชุฑุจูŠุนูŠ ู„ูˆุงุญุฏ ุชุฑุจูŠุน ุฒุงุฏ ุงุชู†ูŠู† ุชุฑุจูŠุน ุจุทู„ุนุด ุฌุฐุฑ
2988
+
2989
+ 748
2990
+ 01:08:55,750 --> 01:08:56,550
2991
+ ุฎู…ุณุฉ
2992
+
2993
+ 749
2994
+ 01:08:58,780 --> 01:09:08,620
2995
+ ุฏุฑุฌุฉ ุฒูŠ ุงู„ุฎู…ุณ ุจุชุทู„ุน ุณูŠุจู‚ูˆุง ุงุชู†ูŠู†
2996
+
2997
+ 750
2998
+ 01:09:08,620 --> 01:09:14,860
2999
+ point ุงุชู†ูŠู†
3000
+
3001
+ 751
3002
+ 01:09:14,860 --> 01:09:21,460
3003
+ point ุงุชู†ูŠู† ุซู„ุงุซ ุงุชู†ูŠู† ุซู„ุงุซ ุงูƒู… ุซู„ุงุซุฉ ุฎู„ุงุต ุจูƒููŠ
3004
+
3005
+ 752
3006
+ 01:09:21,460 --> 01:09:27,420
3007
+ ูˆุงุถุญ ู‡ูŠ ุนู†ุฏูƒ ู‡ูŠ ุงู„ูˆุงุญุฏ ู„ูˆ ุนู… ู†ุนู…ู„ scale ู‡ูŠ ุงู„ุณูุฑ
3008
+
3009
+ 753
3010
+ 01:09:28,480 --> 01:09:36,400
3011
+ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงู„ุงุชู†ูŠู† point ุงุชู†ูŠู† ู‡ูŠุฌุงุฒุฉ ู‡ู†ุง
3012
+
3013
+ 754
3014
+ 01:09:36,400 --> 01:09:39,720
3015
+ ูˆุงุถุญ
3016
+
3017
+ 755
3018
+ 01:09:39,720 --> 01:09:45,520
3019
+ ุงู„ total effect ู‚ุฑูŠุจ ุนู„ู‰ ุงู„ุงุชู†ูŠู† ุจุนูŠุฏ ูƒุชูŠุฑ ุนู†
3020
+
3021
+ 756
3022
+ 01:09:45,520 --> 01:09:50,780
3023
+ ุงู„ูˆุงุญุฏ ูุจู†ูุณ
3024
+
3025
+ 757
3026
+ 01:09:50,780 --> 01:09:52,820
3027
+ ุงู„ู…ู†ุทู‚ู‡ ุฏูŠ ุชู‚ุฑูŠุจุง ุฏุงุฆู
3028
+
3029
+ 758
3030
+ 01:09:55,470 --> 01:09:58,970
3031
+ ูู‡ูŠ ุงู„ู…ุณูŠุทุฑุฉ ุนู† ู†ุชูŠุฌุฉุŒ ูŠุนู†ูŠ ุงู„ุณูŠุทุฑุชู‡ุง ุนู† .. ุทุจุนุง
3032
+
3033
+ 759
3034
+ 01:09:58,970 --> 01:10:04,290
3035
+ ู‡ุฐู‡ ู„ู‡ุง .. ู„ู‡ุง ุชุฃุซูŠุฑุŒ ุจุณ ู…ูŠู† ุฃูƒุชุฑุŸ ู‡ุฐู‡ ุฃุฑุจุน ุฃุถุนุงูุŒ
3036
+
3037
+ 760
3038
+ 01:10:04,290 --> 01:10:10,150
3039
+ ู„ุฃู† ุงู†ุช ุจุชุฑุจุน ููŠ ุงู„ุขุฎุฑุŒ ู .. ูุงู„ .. ุงู„ .. ุงู„
3040
+
3041
+ 761
3042
+ 01:10:10,150 --> 01:10:11,970
3043
+ random or precision error ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุชุฃุซูŠุฑู‡ุง
3044
+
3045
+ 762
3046
+ 01:10:11,970 --> 01:10:15,170
3047
+ ุฃูƒุชุฑ ู…ู† ุงู„ .. ุงู„ .. ุงู„ bias uncertainty
3048
+
3049
+ 763
3050
+ 01:10:24,810 --> 01:10:27,750
3051
+ ุทุจุนุง ุงู„ precision .. ุงุญู†ุง ุงุฎุฏู†ุง ู‚ุฑุง ูˆุงุญุฏุฉ ุงู„
3052
+
3053
+ 764
3054
+ 01:10:27,750 --> 01:10:36,670
3055
+ precision uncertainty ุจุชุฒูŠุฏ ุงุฐุง ูุงูƒุฑูŠู† ุงุญู†ุง ููŠ
3056
+
3057
+ 765
3058
+ 01:10:36,670 --> 01:10:39,990
3059
+ single sample ููŠ single .. ููŠ single .. ุงุญู†ุง ุญูƒูŠู†ุง
3060
+
3061
+ 766
3062
+ 01:10:39,990 --> 01:10:45,930
3063
+ ููŠ single sample ุงู„ uncertainty ุจุชุณุงูˆูŠ Z C ุนู„ู‰ 2
3064
+
3065
+ 767
3066
+ 01:10:45,930 --> 01:10:47,710
3067
+ ููŠ ุงู„ standard deviation ุตุญุŸ
3068
+
3069
+ 768
3070
+ 01:10:50,290 --> 01:10:56,870
3071
+ ููŠ multiple trials ุงูˆ ุนู†ุฏ ุงู„ K ุงูˆ ุงูƒุช ู…ุด ูˆุงุญุฏ
3072
+
3073
+ 769
3074
+ 01:10:56,870 --> 01:11:01,730
3075
+ ู‡ูŠูƒูˆู† ุงู„ U ุณูˆ Z C ุนู„ู‰ ุงุชู†ูŠู† ุจุณุฌู† ุนู„ู‰ ุฌุฒุฑ ุงู„ุชุฑุจูŠู‡
3076
+
3077
+ 770
3078
+ 01:11:01,730 --> 01:11:08,750
3079
+ ุนู„ูŠุงุด ู„ N ููƒู„ ู…ุง ุนู† ุงู„ trials ุงูƒุชุฑ ุจู†ุฒู„
3080
+
3081
+ 771
3082
+ 01:11:08,750 --> 01:11:14,870
3083
+ uncertainty ูŠุนู†ูŠ ู„ูˆ ุงู„ุชุฌุฑุจุฉ ุนู…ู„ุชู‡ุง ุงุฑุจุน ู…ุฑุงุช ุงู„
3084
+
3085
+ 772
3086
+ 01:11:14,870 --> 01:11:18,590
3087
+ uncertainty ุงู„ู„ูŠ ู‡ูŠ ุฌุงูŠุฉ ู…ุตุฏุฑู‡ุง ู…ุนุธู… ู…ู† ุงู„ time
3088
+
3089
+ 773
3090
+ 01:11:20,210 --> 01:11:25,490
3091
+ ุจุฏูŠู„ ุงู„ูƒุชูŠุฑ ูŠุนู†ูŠ ุงุตู„ุง ุงุฑุจุน ู…ุฑุงุช ุจูŠุตูŠุฑ ุงู„ู†ุต ุชุณุนุฉ
3092
+
3093
+ 774
3094
+ 01:11:25,490 --> 01:11:32,610
3095
+ ู…ุฑุงุช ุจูŠุตูŠุฑ ุงู„ุชู„ุช ุณุชุงุดุฑ ู…ุฑุฉ ุงู„ุฑุงุจุน ุฎู…ุณุงุดุฑ ู…ุฑุฉ ุงู„ุฎู…ุณ
3096
+
3097
+ 775
3098
+ 01:11:32,610 --> 01:11:42,710
3099
+ ู…ูŠุฉ ู…ุฑุฉ ุงู„ุนุดุฑ ูˆ ู‡ูƒุฐุง ูˆุงุถุญ
3100
+
3101
+ 776
3102
+ 01:11:42,710 --> 01:11:49,400
3103
+ ุงู† ุชุญุณูŠู† ูƒุฑุงุกุฉ ุงู„ุฒู…ู† ูˆ ุงู„ูˆุฒู†ุจูŠุนุทูŠู†ูŠ ุงู„ .. ูŠุนู†ูŠ
3104
+
3105
+ 777
3106
+ 01:11:49,400 --> 01:11:57,100
3107
+ ุงู„ุฃูƒุซุฑ ุชุฃุซูŠุฑุง ุงู„ุชุญุณูŠู† ุงู„ pressure ูˆ ุงู„ู‚ุทุฑ
3108
+
3109
+ 778
3110
+ 01:11:57,100 --> 01:12:05,620
3111
+ ุจุชุฃุซุฑ ุจุณ ุจุฏุฑุฌุฉ ุฃู‚ู„ ู…ู† ุงู„ .. ุจุฏุฑุฌุฉ ุฃู‚ู„ ู…ู† ุงู„ูˆุฒู† ูˆ
3112
+
3113
+ 779
3114
+ 01:12:05,620 --> 01:12:11,360
3115
+ ุงู„ .. ูˆ ุงู„ time ุงู„
3116
+
3117
+ 780
3118
+ 01:12:11,360 --> 01:12:14,420
3119
+ density contributes almost nothing to total
3120
+
3121
+ 781
3122
+ 01:12:14,420 --> 01:12:17,200
3123
+ uncertainty ุงุฑุฌุนูˆุง ุชุงู†ูŠ
3124
+
3125
+ 782
3126
+ 01:12:31,000 --> 01:12:35,960
3127
+ high density ููŠ ุงู„ precision ูŠุนู†ูŠ ุฃู‚ู„ ุจูƒุชูŠุฑ ู„ููƒุชู‡ุง
3128
+
3129
+ 783
3130
+ 01:12:35,960 --> 01:12:41,800
3131
+ ู…ู† ุงู„ .. ู…ู† ุงู„ .. ู…ู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ weight ูˆ ุงู„
3132
+
3133
+ 784
3134
+ 01:12:41,800 --> 01:12:50,940
3135
+ diameter ูุจุชุฃุซุฑุด ูุนู†ุฏูƒ ุงู„ .. ูˆ ุงู„ bias ุจุชุงุนู‡ุง ู‚ู„ูŠู„
3136
+
3137
+ 785
3138
+ 01:12:50,940 --> 01:12:56,090
3139
+ ุจุงู„ู…ู‚ุงุฑู†ุฉ ุจุงู„ุญุงุฌุงุช ุงู„ุชุงู†ูŠุฉูู‡ู†ุง ุชูˆุงุถุญ ุฃู† ุงู„ density
3140
+
3141
+ 786
3142
+ 01:12:56,090 --> 01:13:00,950
3143
+ ุงู„ุฃู‚ู„ ุชุฃุซูŠุฑุง ูˆุจุงู„ุชุงู„ูŠ ุฅุฐุง ุฃู†ุง ุจุฏุฃ ุฃุฎุฏ ู‚ุฑุงุกุงุช
3144
+
3145
+ 787
3146
+ 01:13:00,950 --> 01:13:04,310
3147
+ ู„ู„ุญุฑุงุฑุฉ ุนุดุงู† ุจุณ ุฃุญุณู† ุดูˆูŠุฉ ุตุบูŠุฑุฉ ุฌุฏุง ุฌุฏุง ุฌุฏุง ู‡ุฐุง
3148
+
3149
+ 788
3150
+ 01:13:04,310 --> 01:13:17,390
3151
+ ู…ุงุถูŠ ุนู„ู‰ ุงู„ูˆู‚ุช ูˆุงู„ุฌู‡ุฏ ู…ุงุถูŠ ุนู„ู‰ ุงู„ูˆู‚ุช ูˆุงู„ุฌู‡ุฏ ู„ุฃู†
3152
+
3153
+ 789
3154
+ 01:13:17,390 --> 01:13:21,530
3155
+ ููŠ ุฃูŠ ุชุฌุงุฑุจ ุจุฏูƒ ุชุนู…ู„ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุชุณุงุคู„ุงุช
3156
+
3157
+ 790
3158
+ 01:13:24,760 --> 01:13:29,580
3159
+ ุงู„ุฃูˆู„ ุณุคุงู„ ู‡ู„
3160
+
3161
+ 791
3162
+ 01:13:29,580 --> 01:13:34,420
3163
+ ุงู„ .. ุงู„ .. ุงู„ุชู‚ุฏูŠุฑุงุช ู„ู„ุฎุทุฃ ููŠ ุงู„ .. ููŠ ุงู„ู…ุชุบูŠุฑุงุช
3164
+
3165
+ 792
3166
+ 01:13:34,420 --> 01:13:36,960
3167
+ ุงู„ู…ุฎุชู„ูุฉุŒ ุงู„ .. ุงู„ timeุŒ ุงู„ weightุŒ ุงู„ pressureุŒ
3168
+
3169
+ 793
3170
+ 01:13:36,960 --> 01:13:43,620
3171
+ ุงู„ densityุŒ ุงู„ diameterุŒ ู‡ู„ ู‡ูŠ ูŠุนู†ูŠ ุชุญุฐูŠุฑุงุช ุฌูŠุฏุฉุŸ
3172
+
3173
+ 794
3174
+ 01:13:43,620 --> 01:13:47,140
3175
+ ูŠุนู†ูŠ guess .. guess ูŠุนู†ูŠ ุชุญุฐูŠุฑ .. ุงุชุด ุงุณู…ู‡ุŸ ุงู†ูƒ
3176
+
3177
+ 795
3178
+ 01:13:47,140 --> 01:13:50,580
3179
+ ุชุญุฐุฑ .. ุช .. ุช .. ูŠุนู†ูŠ ุจุชุชูˆู‚ุน ุงุดูŠุŒ ุจุชุจู‚ูˆุง guess
3180
+
3181
+ 796
3182
+ 01:13:53,890 --> 01:14:00,130
3183
+ to a degree ู„ุญุฏ ู…ุนูŠู† they are good guesses but
3184
+
3185
+ 797
3186
+ 01:14:00,130 --> 01:14:03,070
3187
+ dismissing them as nothing but guesses would be
3188
+
3189
+ 798
3190
+ 01:14:03,070 --> 01:14:08,470
3191
+ flippant ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุช ุญูƒูŠุช ุจุญูŠ ู…ุฌุฑุฏ ุชูˆู‚ุนุงุช ูˆ ุจุชุญุฐุฑ
3192
+
3193
+ 799
3194
+ 01:14:08,470 --> 01:14:13,910
3195
+ ุฃู†ุช ุชุญุฐูŠุฑ ุฅุฐุง ู…ุงูƒุงู†ุด ุชุญุฐูŠุฑ ูˆ ุชูˆู‚ุน ู…ุฏุฑูˆุณ ุจุชูƒูˆู† ูŠุนู†ูŠ
3196
+
3197
+ 800
3198
+ 01:14:13,910 --> 01:14:17,990
3199
+ .. ูŠุนู†ูŠ ุฅุดูŠ ุฃูŠ ูƒู„ุงู… ุจุชูƒูˆู† ุฅุดูŠ ุฃูŠ ูƒู„ุงู… ุนู„ู‰ ุงู„ุฃุบู„ุจ
3200
+
3201
+ 801
3202
+ 01:14:17,990 --> 01:14:24,530
3203
+ ุฅุฐุง ู…ุงูƒุงู†ุด ู…ุฏุฑูˆุณุฃูˆ ูˆ ุฌุงูŠ ุจู†ุงุก ุนู„ู‰ ุฎุจุฑุชูƒ ููŠ ุงู„ุฃุฌู‡ุฒุฉ
3204
+
3205
+ 802
3206
+ 01:14:24,530 --> 01:14:28,830
3207
+ ู‡ุฐู‡ ูˆ ุงู„ู‚ูŠุงุตุงุช ู‡ุฐู‡ ุจุชูƒูˆู† .. ุจุชูƒูˆู†ุด ู‡ุฐุง guess ูŠุนู†ูŠ
3208
+
3209
+ 803
3210
+ 01:14:28,830 --> 01:14:40,230
3211
+ ุจุชูƒูˆู†ุด good guess ุจุชูƒูˆู†ุด ุชูˆู‚ุน ุฃูˆ ุชุญุฐูŠุฑ ุฌูŠุฏ ุทุจุนุง
3212
+
3213
+ 804
3214
+ 01:14:40,230 --> 01:14:43,910
3215
+ ุงู„ .. ุงู„ .. ุงู„ุชูˆู‚ุนุงุช ุจุชุณูŠุฑุด ุนุดูˆุงุฆูŠ ุจุชุณูŠุฑ ุจู†ุงุก ุนู„ู‰
3216
+
3217
+ 805
3218
+ 01:14:43,910 --> 01:14:48,330
3219
+ ุฎุจุฑุฉ ูˆ ู…ุนุฑูุฉ ูˆ ุฏุฑุงูŠุฉ ููŠ ุงู„ .. ุงู„ .. ุงู„ุชุฌุฑุจุฉ ูˆ
3220
+
3221
+ 806
3222
+ 01:14:48,330 --> 01:14:49,710
3223
+ ุงู„ู…ุนุฏุงุช ุงู„ู„ูŠ ุงู†ุช ุดุบุงู„ ุนู„ูŠู‡ุง
3224
+
3225
+ 807
3226
+ 01:14:59,130 --> 01:15:02,810
3227
+ ุทูŠุจ ุทูŠุจ if you admit to guessing ุงู† ู‡ูŠ ู…ุฌุฑุฏุฉ
3228
+
3229
+ 808
3230
+ 01:15:02,810 --> 01:15:08,410
3231
+ ุชูˆู‚ุนุงุช ู„ูŠุด ู…ุงุนู…ู„ุช guess ู„ู„ total uncertainty ููŠ ุงู„
3232
+
3233
+ 809
3234
+ 01:15:08,410 --> 01:15:12,510
3235
+ K ู…ุจุงุดุฑุฉ ุงู†ุง ุนู…ู„ุช guess ู„ู„ uncertainty ููŠ ุงู„
3236
+
3237
+ 810
3238
+ 01:15:12,510 --> 01:15:18,650
3239
+ weight ูˆ ุงู„ time ูˆ ุงู„ pressure ูˆ ุงู„ diameter ูˆ ุงู„
3240
+
3241
+ 811
3242
+ 01:15:18,650 --> 01:15:24,850
3243
+ densityุทุงู„ู…ุง ู‡ูŠ guess ุจ guess ู„ูŠุด ู…ุงุนู…ู„ุช ุงู„ู„ูŠ ู‡ูˆ
3244
+
3245
+ 812
3246
+ 01:15:24,850 --> 01:15:31,390
3247
+ ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ K ุงูˆู„ุด ู„ุงูŠู‡ ุชุณุจุจ ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ K ุงู„ K
3248
+
3249
+ 813
3250
+ 01:15:31,390 --> 01:15:36,170
3251
+ ุฒูŠ ู…ุง ุงู†ุช ุดุงูŠููŠู† ุจูŠุนุชู…ุฏ ุนู„ู‰ .. ุนู„ู‰ .. ุนู„ู‰ mainly
3252
+
3253
+ 814
3254
+ 01:15:36,170 --> 01:15:41,910
3255
+ ุฎู…ุณ parameters ุจุณ ู‡ูŠ ุญู‚ูŠู‚ุฉ ุงูƒุชุฑ ู…ู† ุงู„ุฎู…ุณ
3256
+
3257
+ 815
3258
+ 01:15:41,910 --> 01:15:46,950
3259
+ parameters ููŠ ู…ุง ูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ interference
3260
+
3261
+ 816
3262
+ 01:15:46,950 --> 01:15:51,970
3263
+ effectุชู†ุณูŠู‚ ุงู„ effect ุฃุถุฑุจ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู…ุซู„ุง
3264
+
3265
+ 817
3266
+ 01:15:51,970 --> 01:15:56,370
3267
+ ุนู†ุฏูŠ ุงู„ volume to something ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฏุฑุฌุฉ
3268
+
3269
+ 818
3270
+ 01:15:56,370 --> 01:16:05,290
3271
+ ุงู„ุญุฑุงุฑุฉ ูˆ ุงู„ุถุบุท ุทูŠุจ ู„ูˆ ุบูŠุฑุช ุงู„ุญุฑุงุฑุฉ ู„ุญุงู„ ุจุชุตุฑู
3272
+
3273
+ 819
3274
+ 01:16:05,290 --> 01:16:09,930
3275
+ ุจุดูƒู„ ู…ุนูŠู† ูˆ ู„ูˆ ุบูŠุฑุช ุงู„ุถุบุท ู„ุญุงู„ ุจุชุตุฑู ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ
3276
+
3277
+ 820
3278
+ 01:16:09,930 --> 01:16:14,010
3279
+ ุทูŠุจ ู„ูˆ ุบูŠุฑุช ุงู„ุถุบุท ูˆ ุงู„ุญุฑุงุฑุฉ ู…ุน ุจุนุถ ุจุฎุชู„ู ุงู„ุชุตุฑู
3280
+
3281
+ 821
3282
+ 01:16:14,010 --> 01:16:17,700
3283
+ ู…ุนู†ุงุชู‡ ููŠ ุงู„ interactionุฃูˆ ุงู„ interference effect
3284
+
3285
+ 822
3286
+ 01:16:17,700 --> 01:16:20,500
3287
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ ุชู„ุงุชุฉ variables ู…ุซู„ุง ุงู„ variable x
3288
+
3289
+ 823
3290
+ 01:16:20,500 --> 01:16:28,360
3291
+ ูˆุงุญุฏ ูŠุนู†ูŠ ุนู†ุฏูŠ variable x ูˆุงุญุฏ ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู†
3292
+
3293
+ 824
3294
+ 01:16:28,360 --> 01:16:31,200
3295
+ ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู†
3296
+
3297
+ 825
3298
+ 01:16:31,200 --> 01:16:37,520
3299
+ ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู†
3300
+
3301
+ 826
3302
+ 01:16:37,520 --> 01:16:43,920
3303
+ ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู†
3304
+
3305
+ 827
3306
+ 01:16:43,920 --> 01:16:43,940
3307
+ ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู† ูˆ x ุงุชู†ูŠู†
3308
+
3309
+ 828
3310
+ 01:16:43,940 --> 01:16:50,490
3311
+ ูˆ x ุงู‡ุฐุง interaction effect ุนู†ุฏูŠ X ูˆุงุญุฏ ู…ุซู„ุง ู„ูˆ
3312
+
3313
+ 829
3314
+ 01:16:50,490 --> 01:16:54,650
3315
+ ูƒุงู†ุช ุชู„ุงุชุฉ variables X ูˆุงุญุฏ X ุงุชู†ูŠู† ูˆ X ุชู„ุงุชุฉ ูˆ
3316
+
3317
+ 830
3318
+ 01:16:54,650 --> 01:16:57,050
3319
+ ู‡ุฐุง independent variables ูˆ independent variable
3320
+
3321
+ 831
3322
+ 01:16:57,050 --> 01:17:04,010
3323
+ ู‡ูˆ Y ู…ุงู†ุนุชู‡ ุจูŠุนุชู…ุฏ ู‡ูˆ ุนู„ู‰ X ูˆุงุญุฏูˆ X ุงุชู†ูŠู† ูˆ X
3324
+
3325
+ 832
3326
+ 01:17:04,010 --> 01:17:10,770
3327
+ ุชู„ุงุชุฉ ูˆ X ูˆุงุญุฏ ู…ุน X ุงุชู†ูŠู† ูˆ X ูˆุงุญุฏ ู…ุน X ุชู„ุงุชุฉ ูˆ X
3328
+
3329
+ 833
3330
+ 01:17:10,770 --> 01:17:17,970
3331
+ ุงุชู†ูŠู† ู…ุน X ุชู„ุงุชุฉ ูˆ X ูˆุงุญุฏ ู…ุน X ุงุชู†ูŠู† ู…ุน X ุชู„ุงุชุฉ
3332
+
3333
+ 834
3334
+ 01:17:17,970 --> 01:17:23,210
3335
+ ู‡ุฐุง ูƒู„ interaction effect ูƒู„ ุงูŠุดุŸ interaction ุงูˆ
3336
+
3337
+ 835
3338
+ 01:17:23,210 --> 01:17:25,290
3339
+ interference effect
3340
+
3341
+ 836
3342
+ 01:17:30,480 --> 01:17:33,700
3343
+ ูู…ุนู†ุงุชู‡ ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุดูˆู ุงูŠุด
3344
+
3345
+ 837
3346
+ 01:17:33,700 --> 01:17:39,320
3347
+ ุงู„ุงุญุชู…ุงู„ุงุช ู„ูˆ ูƒู†ุช ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุงู†ุง
3348
+
3349
+ 838
3350
+ 01:17:39,320 --> 01:17:44,220
3351
+ ุนู†ุฏูŠ ุฎู…ุณุฉ variables ุตุญ ุงู„ู„ูŠ ู‡ูˆ WDT Rho Delta P
3352
+
3353
+ 839
3354
+ 01:17:44,220 --> 01:17:49,220
3355
+ ูŠุนู†ูŠ ุงู†ุง ู‡ูƒูˆู† ุนู†ุฏูŠ X ูˆุงุญุฏ ู‡ู…ุดูŠ
3356
+
3357
+ 840
3358
+ 01:17:49,220 --> 01:17:55,040
3359
+ ุดูˆูŠุฉ ู„ุงู† ุงู†ุง ู‡ุงุชุทูˆู„ X ุชู„ุงุชุฉ ูˆ X ุฃุฑุจุนุฉ ูˆ X ุฎู…ุณุฉ ูˆ X
3360
+
3361
+ 841
3362
+ 01:17:55,040 --> 01:17:59,710
3363
+ ุฎู…ุณุฉ ูˆ ุนู†ุฏูŠ ุงู„ Y ุงู„ู„ูŠ ู‡ูŠุงุด ุงู„ K ุตุญู…ุงู†ุนุชูˆุง ุนู†ุฏูŠ x
3364
+
3365
+ 842
3366
+ 01:17:59,710 --> 01:18:03,530
3367
+ ูˆุงุญุฏ ู„ู‡ุง x ูˆุงุญุฏ x ุงุชู†ูŠู† ู‡ูŠ ุฎู…ุณุฉ ู‡ูŠ ุฎู…ุณุฉ ุฎู…ุณ ุดุบู„ุงุช
3368
+
3369
+ 843
3370
+ 01:18:03,530 --> 01:18:13,830
3371
+ x ูˆุงุญุฏ to x ุฎู…ุณุฉ alone ู‡ูŠ ุฎู…ุณุฉ x ูˆุงุญุฏ ู…ุน x ุงุชู†ูŠู† ูˆ
3372
+
3373
+ 844
3374
+ 01:18:13,830 --> 01:18:18,550
3375
+ x ูˆุงุญุฏ ู…ุน ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุนู†ุฏูƒ ุนู…ู„ matrix ู‡ูŠ x ูˆุงุญุฏ x
3376
+
3377
+ 845
3378
+ 01:18:18,550 --> 01:18:23,370
3379
+ ุงุชู†ูŠู† x ุชู„ุงุชุฉ x ุงุฑุจุนุฉ x ุฎู…ุณุฉ
3380
+
3381
+ 846
3382
+ 01:18:30,500 --> 01:18:40,680
3383
+ ุงูƒุณ ูˆุงุญุฏ ุงูƒุณ ุงุชู†ูŠู† ุงูƒุณ ุชู„ุงุชุฉ ุงูƒุณ ุงุฑุจุน ุงูƒุณ ุฎู…ุณุฉ ู‡ุฐุง
3384
+
3385
+ 847
3386
+ 01:18:40,680 --> 01:18:47,100
3387
+ ู„ุญุงู„ู‡ ูˆ ุงูƒุณ ุงุชู†ูŠู† ู…ุน ุงูƒุณ ุงุชู†ูŠู† ู‡ุฐุง ู„ุญุงู„ู‡ ู‡ุฐุง ู…ุน
3388
+
3389
+ 848
3390
+ 01:18:47,100 --> 01:18:50,680
3391
+ ุงูƒุณ ุชู„ุงุชุฉ ู…ุน ุงูƒุณ ุงุฑุจุน ู‡ุฐุง ู…ุน ุงูƒุณ ุฎู…ุณุฉ ุตุญ ู‡ุฏูˆู„
3392
+
3393
+ 849
3394
+ 01:18:50,680 --> 01:18:55,520
3395
+ ู„ุญุงู„ู‡ ู‡ุงูƒุณ ูˆุงุญุฏ ู…ุน ุงูƒุณ ุงุชู†ูŠู†
3396
+
3397
+ 850
3398
+ 01:18:59,330 --> 01:19:12,990
3399
+ ูˆ X1 ู…ุน X3 ู…ุน X4 ู…ุน X5 ุทูŠุจ X2 ู…ุน X1 ู‡ูŠ ู…ูˆุฌูˆุฏุฉ ุฎู„ุงุต
3400
+
3401
+ 851
3402
+ 01:19:12,990 --> 01:19:20,790
3403
+ X2 ู…ุน X2 ู‡ูŠ ู…ูˆุฌูˆุฏุฉ X2 ู…ุน X3 ู…ุน X4 ู…ุน X5 ุทูŠุจ X3 ู…ุน
3404
+
3405
+ 852
3406
+ 01:19:20,790 --> 01:19:29,980
3407
+ 1 ู…ูˆุฌูˆุฏุฉ ูˆ ู…ุน 2 ู…ูˆุฌูˆุฏุฉ ู…ุนู†ุงุชู‡ ู…ุน 4 ุฎู„ุตู†ุงู‡ูŠ ุนู†ุฏูƒ
3408
+
3409
+ 853
3410
+ 01:19:29,980 --> 01:19:37,200
3411
+ ูˆุงุญุฏ ุงุชู†ูŠู† ู„ุณู‡ ู…ุฎู„ุตู†ุงุด ู„ุณู‡ ูƒู„ู‡ ู…ุน ุจุนุถ ูŠุนู†ูŠ ุงู†ุง ..
3412
+
3413
+ 854
3414
+ 01:19:37,200 --> 01:19:40,980
3415
+ ูŠุนู†ูŠ ุฑุงุณุงุทุฉ ุฌุฒุก ู…ุนุงูŠุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ ูˆุงุญุฏ
3416
+
3417
+ 855
3418
+ 01:19:40,980 --> 01:19:44,880
3419
+ ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆุนุดุฑูŠู† ุงุชู†ูŠู† ุฎู…ุณุงุดุฑูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
3420
+
3421
+ 856
3422
+ 01:19:44,880 --> 01:19:47,040
3423
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
3424
+
3425
+ 857
3426
+ 01:19:47,040 --> 01:19:47,060
3427
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
3428
+
3429
+ 858
3430
+ 01:19:47,060 --> 01:19:47,220
3431
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
3432
+
3433
+ 859
3434
+ 01:19:47,220 --> 01:19:48,080
3435
+ ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู† ุงุชู†ูŠู†
3436
+
3437
+ 860
3438
+ 01:19:48,080 --> 01:19:55,380
3439
+ ุงุชู†
3440
+
3441
+ 861
3442
+ 01:19:57,040 --> 01:20:03,300
3443
+ assume ุงู„ู„ูŠ ู‡ูˆ independence ุงู„ joint effect
3444
+
3445
+ 862
3446
+ 01:20:03,300 --> 01:20:07,220
3447
+ ู…ู‡ู…ู„ูŠู†ู‡ ููŠ ูƒู„ ุญุณุงุจุงุชู†ุง ู„ูˆ ุจุฏุนู… ุงู„ joint effect
3448
+
3449
+ 863
3450
+ 01:20:07,220 --> 01:20:16,820
3451
+ ุจูŠุตูŠุฑ statistically ุฃูƒุซุฑ ุชุนู‚ูŠุฏุง ุจุณ ู‡ูˆ ู…ูˆุฌูˆุฏ ุทูŠุจ
3452
+
3453
+ 864
3454
+ 01:20:16,820 --> 01:20:23,810
3455
+ ู…ุนู†ู‰ detailed analysis ุจูŠุนุทูŠู†ุง ููƒุฑุฉุน ุงู„ุชูุงุตูŠู„ ุฅูŠุด
3456
+
3457
+ 865
3458
+ 01:20:23,810 --> 01:20:28,310
3459
+ ุจูŠุตูŠุฑ ูˆ ุจูŠุนุทูŠู†ุง ููƒุฑุฉ ุฅูŠุด ุงู„ most dominant ุงู„
3460
+
3461
+ 866
3462
+ 01:20:28,310 --> 01:20:30,570
3463
+ factorsุŒ ุฅูŠุด ุงู„ุนูˆุงู…ู„ ุงู„ู„ูŠ ุจุชุฃุซุฑ ุฃูƒุชุฑุŒ ุฅูŠุด ุนู„ู‰
3464
+
3465
+ 867
3466
+ 01:20:30,570 --> 01:20:34,510
3467
+ ุงู„ู†ุชูŠุฌุฉ ุจุชุงุนุชู‡ ูˆ ุฅูŠุด ุงู„ variables ุงู„ least
3468
+
3469
+ 868
3470
+ 01:20:34,510 --> 01:20:39,270
3471
+ dominant ุงู„ู„ูŠ ู‡ูŠ ู„ูŠุณุช ุฐุงุช ู‚ูŠู…ุฉ ููŠ ู†ุชุงุฆุฌ ุงู„ุชุฌุฑุจุฉ
3472
+
3473
+ 869
3474
+ 01:20:39,270 --> 01:20:39,990
3475
+ ุจุชุงุนุชู‡
3476
+
3477
+ 870
3478
+ 01:20:42,990 --> 01:20:47,210
3479
+ ูˆ ุจุนุฏูŠู† ุฃุณู‡ู„ ุฅู†ู‡ ุฃุญุณุจ ุงู„ uncertainty ููŠ one
3480
+
3481
+ 871
3482
+ 01:20:47,210 --> 01:20:51,210
3483
+ variable ุฃุณู‡ู„ ุจูƒุชูŠุฑ ู…ุง ุฃุญุณุจ ุงู„ uncertainty ููŠ
3484
+
3485
+ 872
3486
+ 01:20:51,210 --> 01:20:54,090
3487
+ variable is a function of five or six variables
3488
+
3489
+ 873
3490
+ 01:20:54,090 --> 01:20:56,890
3491
+ ู…ุนู‚ุฏุฉ ูŠุนู†ูŠ ุงู†ุช ู‡ูƒูˆู† multidimensionalุŒ ู…ุญูƒูŠ ู…ุด
3492
+
3493
+ 874
3494
+ 01:20:56,890 --> 01:21:02,570
3495
+ ู‡ุงุณุชูˆุนุจู‡ุง ุฅู„ุง ุฅุฐุง ู…ุฑุช ุนู„ูŠูƒ ุงู†ุช ุดุบุงู„ ุจุณ ุดุบู„ุชูƒ ู„ูƒ
3496
+
3497
+ 875
3498
+ 01:21:02,570 --> 01:21:06,690
3499
+ ุนุดุฑูŠู† ุชู„ุงุชูŠู† ุณู†ุฉ ุชุดุชุบู„ ู„ูƒ ุจุณ ููŠ ุดุฑูƒุฉ ุดุบู„ุชูƒ ุงู†ูƒ ุชุญุณ
3500
+
3501
+ 876
3502
+ 01:21:06,690 --> 01:21:08,050
3503
+ ุจุงู„ูƒุณุงุฑุŒ ุนู†ุฏูƒ ุฎุจุฑุฉ ููŠู‡ุง
3504
+
3505
+ 877
3506
+ 01:21:12,170 --> 01:21:15,410
3507
+ ุฃู†ุง ุทุจุนุง ู‡ุจู‚ู‰ ูˆุฒุนุช ุงู„ุฃุณุฆู„ุฉ assignments ุญุณุจ ุงู„
3508
+
3509
+ 878
3510
+ 01:21:15,410 --> 01:21:19,110
3511
+ succession ูŠุนู†ูŠ ุงู†ุง ู‡ู†ุฒู„ู‡ุง ุงู„ุฌุฏูŠุฏ ู‡ุชุดูˆููˆุง ููŠ
3512
+
3513
+ 879
3514
+ 01:21:19,110 --> 01:21:21,830
3515
+ different assignments ูˆุฑุง ูƒู„ ุฌุฒุฆูŠุฉ ู…ู† ุงู„ู…ุญุงุถุฑุงุช
3516
+
3517
+ 880
3518
+ 01:21:21,830 --> 01:21:26,790
3519
+ ุนุดุงู† ุชุนุฑู ูƒูŠู ุชุญู„ูˆุง ุทุจุนุง ุงู„ู…ุฌู„ุฉ ู…ู†ุชุธุฑุฉ ุชุฑุชูŠุจ
3520
+
3521
+ 881
3522
+ 01:21:26,790 --> 01:21:29,930
3523
+ ุงู„ุฃุฑู‚ุงู… ุงุนุทูŠูƒู… ุงู„ุนุงููŠุฉ
3524
+
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@@ -0,0 +1,1433 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,230 --> 00:00:07,630
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,630 --> 00:00:10,650
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ู…ุงุฏุฉ ุงู„ู€ measurement ุงู„ู„ูŠ ู‡ูˆ
8
+
9
+ 3
10
+ 00:00:10,650 --> 00:00:14,350
11
+ chapter two standards and dimensional units of
12
+
13
+ 4
14
+ 00:00:14,350 --> 00:00:20,090
15
+ measurement ู†ุณุชุฑุฌุน
16
+
17
+ 5
18
+ 00:00:20,090 --> 00:00:24,110
19
+ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุฏุฑุณู†ุงู‡ุง ููŠ chapter one ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ basis
20
+
21
+ 6
22
+ 00:00:24,110 --> 00:00:27,450
23
+ of measurement ุฃุณุงุณ ุงู„ู‚ูŠุงุณ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู†
24
+
25
+ 7
26
+ 00:00:27,450 --> 00:00:33,390
27
+ ูƒู…ูŠุฉ ูŠุฑุงุฏ ู‚ูŠุงุณู‡ุง ูˆู…ุนูŠุงุฑ standard ุจุณู…ุน ุญูƒูŠู†ุง ุงู„ุทูˆู„
28
+
29
+ 8
30
+ 00:00:33,390 --> 00:00:40,650
31
+ ุนุดุงู† ุฃู‚ูŠุณ ุทูˆู„ ู‚ุทุนุฉ ุฎุดุจูŠุฉ ุจุฃู‚ุงุฑู† ุงู„ู‚ุทุนุฉ ู…ุน standard
32
+
33
+ 9
34
+ 00:00:40,650 --> 00:00:45,570
35
+ ู…ุชุฑ caliber micrometer ูููŠ ุงู„ุขุฎุฑ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:00:45,570 --> 00:00:49,810
39
+ ู…ู‚ุงุฑู†ุฉ ุญูƒูŠู†ุง ู‚ุฏ ุชูƒูˆู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุจุงุดุฑุฉ ุฃูˆ ุบูŠุฑ ู…ุจุงุดุฑุฉ
40
+
41
+ 11
42
+ 00:00:49,810 --> 00:00:54,360
43
+ ู…ุด ู‡ู†ุฎุด ููŠ ุงู„ุชูุงุตูŠู„ ุงู„ู„ูŠ ุฑุฌุนูˆู„ู‡ุง ุงู„ุขู† we want to
44
+
45
+ 12
46
+ 00:00:54,360 --> 00:00:58,720
47
+ define dimension and dimensional unit ุงู„ู€ dimension
48
+
49
+ 13
50
+ 00:00:58,720 --> 00:01:03,480
51
+ ู‡ูˆ defining characteristics of an entity ูŠุนู†ูŠ ุงู„ู€
52
+
53
+ 14
54
+ 00:01:03,480 --> 00:01:13,220
55
+ length ุงู„ุทูˆู„ is a dimension ุงู„ู€ meter ู‡ูŠ unit ุฃูˆ
56
+
57
+ 15
58
+ 00:01:13,220 --> 00:01:15,220
59
+ dimensional unit ู‡ูŠ ุงู„ู€ unit ุจุชุงุนุฉ ุงู„ู€ length ู‡ูŠ
60
+
61
+ 16
62
+ 00:01:15,220 --> 00:01:21,320
63
+ ูˆุงุญุฏุฉ ู‚ูŠุงุณ ุงู„ุทูˆู„ ูุนู†ุฏู†ุง ุงู„ู€ dimension ุงู„ู„ูŠ ู‡ูˆ
64
+
65
+ 17
66
+ 00:01:21,320 --> 00:01:24,360
67
+ ุงู„ู€ length ุนู†ุฏูŠ ุงู„ู€ dimension in let ุงู„ู„ูŠ ู‡ูŠ basis
68
+
69
+ 18
70
+ 00:01:24,360 --> 00:01:29,160
71
+ for quantification of the entity ูŠุนู†ูŠ ุฃู†ุง ุจุฃูˆุตู
72
+
73
+ 19
74
+ 00:01:29,160 --> 00:01:32,340
75
+ ุงู„ุทูˆู„ ุจุดูƒู„ ูƒู… ู…ู† ุฎู„ุงู„ ุงู„ู…ุชุฑ ู…ู† ุฎู„ุงู„ ุงู„ู‚ุฏู… ู…ู† ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:32,340 --> 00:01:38,160
79
+ ุงู„ุฅู†ฺ† ู…ู† ุฎู„ุงู„ ุงู„ู…ูŠู„ู…ุชุฑ ู…ู† ุฎู„ุงู„ ุงู„ู€ kilometer ูู€ ุงู„ู€ time
80
+
81
+ 21
82
+ 00:01:38,160 --> 00:01:47,090
83
+ is a dimension time is a dimension ุงู„ู€ second is
84
+
85
+ 22
86
+ 00:01:47,090 --> 00:01:52,290
87
+ dimensionally is the unit of time ุงู„ู€ second ูˆุญุฏุฉ
88
+
89
+ 23
90
+ 00:01:52,290 --> 00:02:00,870
91
+ ู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฒู…ู† a dimension is unique however
92
+
93
+ 24
94
+ 00:02:00,870 --> 00:02:05,430
95
+ a particular dimension say length may be measured
96
+
97
+ 25
98
+ 00:02:05,430 --> 00:02:08,290
99
+ in various units such as feet meters inches or
100
+
101
+ 26
102
+ 00:02:08,290 --> 00:02:13,490
103
+ miles ุงู„ู€ dimension ุงู„ูˆุงุญุฏ ุงู„ุทูˆู„ ุฎู„ุงุต ุงู„ุทูˆู„ ุทูˆู„ ู„ูƒู†
104
+
105
+ 27
106
+ 00:02:13,490 --> 00:02:17,720
107
+ ุงู„ุทูˆู„ ู…ู…ูƒู† ูŠู‚ุงุณ ุจุฃูƒุซุฑ ู…ู† ูˆุญุฏุฉ ู…ู…ูƒู† ู†ู‚ูŠุณ ุจูˆุญุฏุฉ
108
+
109
+ 28
110
+ 00:02:17,720 --> 00:02:22,800
111
+ ุงู„ู…ุชุฑ ุงู„ู‚ุฏู… ุงู„ู…ูŠู„ ุงู„ู€ kilometer ุฃูˆ ุงู„ู€ inch ุฃูˆ ุฃูŠ
112
+
113
+ 29
114
+ 00:02:22,800 --> 00:02:26,340
115
+ ูˆุญุฏุฉ ุซุงู†ูŠุฉ
116
+
117
+ 30
118
+ 00:02:26,340 --> 00:02:31,260
119
+ systems of units must be established and agreed to
120
+
121
+ 31
122
+ 00:02:31,260 --> 00:02:39,150
123
+ ู„ุงุฒู… ูŠูุญุท ู†ุธุงู… ู„ู„ูˆุญุฏุงุช ู…ูˆุญุฏ ูˆู…ุชูู‚ ุนู„ูŠู‡ุŒ ู…ู‡ู†ุฉ ุงู„ู€
124
+
125
+ 32
126
+ 00:02:39,150 --> 00:02:43,550
127
+ systems must be standardized ู„ุงุฒู… ุชูƒูˆู† ู…ุนูŠุงุฑูŠุฉ
128
+
129
+ 33
130
+ 00:02:43,550 --> 00:02:48,210
131
+ ู…ุชูู‚ ุนู„ูŠู‡ุง ุฏูˆู„ูŠุงุŒ ู…ุง ูŠู†ูุนุด ุฃุญูƒูŠ ุงู„ู…ุชุฑ ููŠ ุงู„ุตูŠู† ูŠูƒูˆู†
132
+
133
+ 34
134
+ 00:02:48,210 --> 00:02:52,870
135
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ุจุฑูŠุทุงู†ูŠุง ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู†ุงุจู„ุณ
136
+
137
+ 35
138
+ 00:02:52,870 --> 00:02:59,130
139
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู…ุตุฑุŒ ุงู„ู…ุชุฑ ู…ุชุฑ ูˆุฅู†ู…ุง ูƒุงู† because
140
+
141
+ 36
142
+ 00:02:59,130 --> 00:03:02,130
143
+ there are various systems ู„ุฃู† ููŠ ุนุฏูŠุฏ ู…ู† ุงู„ุฃู†ุธู…ุฉ
144
+
145
+ 37
146
+ 00:03:03,720 --> 00:03:07,700
147
+ there must be an agreement on the basis of
148
+
149
+ 38
150
+ 00:03:07,700 --> 00:03:11,100
151
+ conversion from system to system ู„ุฃู† ููŠ ุนู†ุฏูŠ ู†ุธุงู…
152
+
153
+ 39
154
+ 00:03:11,100 --> 00:03:16,700
155
+ ..ููŠ ุนู†ุฏูŠ inch ุฏู‡ ููŠ ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉุŒ ุนู†ุฏูŠ millimeter ู„ุงุฒู…
156
+
157
+ 40
158
+ 00:03:16,700 --> 00:03:19,960
159
+ ุจุฑุถู‡ ูŠุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ุŒ ุงู„ู€ inch ูƒู… millimeterุŒ ุงู„ู€
160
+
161
+ 41
162
+ 00:03:19,960 --> 00:03:25,560
163
+ inch ูƒู… millimeterุŒ ุงู„ู‚ุฏู… ูƒู… ู…ุชุฑุŒ ุฃูˆ ุงู„ู€ meter ูƒู…
164
+
165
+ 42
166
+ 00:03:25,560 --> 00:03:32,480
167
+ ู‚ุฏู…ุŒ ุงู„ู€ Kelvin ุฅูŠุด ุนู„ุงู‚ุชู‡ุง ุจุงู„ู€ degreesุŒ ูˆู‡ูƒุฐุง
168
+
169
+ 43
170
+ 00:03:34,970 --> 00:03:38,050
171
+ standards of measurement applied to units ุงู„ู„ูŠ ู‡ูˆ
172
+
173
+ 44
174
+ 00:03:38,050 --> 00:03:44,890
175
+ ู…ุนุงูŠูŠุฑ ุงู„ู‚ูŠุงุณุงุช ูŠุนู†ูŠ ุจุชุทุจู‚ ุนู„ูŠู‡ุง ุงู„ูˆุญุฏุงุช to system
176
+
177
+ 45
178
+ 00:03:44,890 --> 00:03:48,930
179
+ of units ุฃู†ุธู…ุฉ ุงู„ูˆุญุฏุงุช and to unitary conversion
180
+
181
+ 46
182
+ 00:03:48,930 --> 00:03:51,550
183
+ between systems ูŠุนู†ูŠ ุฃู†ุธู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ standards
184
+
185
+ 47
186
+ 00:03:51,550 --> 00:03:54,830
187
+ of measurement ุจุงุณุชุฎุฏุงู…ู‡ุง ููŠ ุงู„ูˆุญุฏุงุช ู†ูุณู‡ุง ููŠ ู†ุธุงู…
188
+
189
+ 48
190
+ 00:03:54,830 --> 00:03:58,710
191
+ ุงู„ูˆุญุฏ๏ฟฝ๏ฟฝุช ู†ูุณู‡ุง ููŠ ุงู„ุชุญูˆูŠู„ ู…ู† ู†ุธุงู… ูˆุญุฏุงุช ู„ู†ุธุงู… ูˆุญุฏุงุช
192
+
193
+ 49
194
+ 00:04:02,980 --> 00:04:07,240
195
+ ุงู„ู€ base units in the SI system ุงู„ูˆุญุฏุงุช ุงู„ุฃุณุงุณูŠุฉ
196
+
197
+ 50
198
+ 00:04:07,240 --> 00:04:14,800
199
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ุทูˆู„ ุงู„ู„ูŠ ู‡ูŠ meter ูˆ ุงู„ู€ symbol ุจุชุงุนู‡ุง m
200
+
201
+ 51
202
+ 00:04:14,800 --> 00:04:21,220
203
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ูƒุชู„ุฉ ุงู„ู„ูŠ ู‡ูŠ kilogramุŒ ุงู„ู€ dimension ุฅูŠุด
204
+
205
+ 52
206
+ 00:04:21,220 --> 00:04:28,140
207
+ ุงู„ู€ dimension lengthุŒ ุงู„ู€ unit of dimension meterุŒ ุงู„ู€
208
+
209
+ 53
210
+ 00:04:28,140 --> 00:04:34,120
211
+ dimension is massุŒ ุงู„ู€ unit of mass ูƒูŠู„ูˆุฌุฑุงู…ุŒ ุงู„ู€
212
+
213
+ 54
214
+ 00:04:34,120 --> 00:04:39,300
215
+ dimension is timeุŒ unit of secondุŒ ุงู„ู€ dimension
216
+
217
+ 55
218
+ 00:04:39,300 --> 00:04:44,080
219
+ electric currentุŒ ุงู„ู€ unit ุฃู…ุจูŠุฑุŒ ุงู„ู€ dimension is
220
+
221
+ 56
222
+ 00:04:44,080 --> 00:04:48,500
223
+ temperatureุŒ ุงู„ู€ unit is KelvinุŒ ุงู„ู€ dimension amount
224
+
225
+ 57
226
+ 00:04:48,500 --> 00:04:52,320
227
+ of substance ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง ูƒู…ูŠุฉ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ู‡ูŠ
228
+
229
+ 58
230
+ 00:04:52,320 --> 00:04:57,760
231
+ moleุŒ ุงู„ู€ dimension luminous ุงู„ู€ intensity ุงู„ุฅุถุงุกุฉ
232
+
233
+ 59
234
+ 00:04:57,760 --> 00:05:07,300
235
+ ุงู„ูˆุญุฏุฉ ุจุชุงุนุชู‡ุง candela ุฃูˆ ูƒู†ุฏูŠู„ุฉ ุจุงู„ุนุฑุจูŠุฉุŒ ุงู„ุขู† ููŠ
236
+
237
+ 60
238
+ 00:05:07,300 --> 00:05:13,680
239
+ units derived units ููŠ ุนู†ุฏูŠ ุงู„ู€ plane angle ุงู„ู€
240
+
241
+ 61
242
+ 00:05:13,680 --> 00:05:18,140
243
+ radiansุŒ ููŠ ุนู†ุฏูŠ ุงู„ู€ solid angle ุงู„ู€ radianุŒ ููŠ ุนู†ุฏูŠ
244
+
245
+ 62
246
+ 00:05:18,140 --> 00:05:22,950
247
+ ุงู„ู€ frequency hertzุŒ ุงู„ู„ุญุธุฉ ุงู„ู€ radian ู…ุชุฑ per ู…ุชุฑุŒ ุงู„ู€
248
+
249
+ 63
250
+ 00:05:22,950 --> 00:05:25,930
251
+ steradian ู…ุชุฑ square per ู…ุชุฑ squareุŒ ุงู„ู€ hertz one
252
+
253
+ 64
254
+ 00:05:25,930 --> 00:05:29,630
255
+ over secondุŒ ุงู„ู†ูŠูˆุชู† ุนุจุงุฑุฉ ุนู† ุงู„ู€ mass ููŠ ุงู„ู€
256
+
257
+ 65
258
+ 00:05:29,630 --> 00:05:33,350
259
+ acceleration ูƒูŠู„ูˆุฌุฑุงู… ู…ุชุฑ per second squareุŒ ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:05:33,350 --> 00:05:36,590
263
+ ุงู„ู€ pressure ุจุงุณูƒุงู„ ุนุจุงุฑุฉ ุนู† ู†ูŠูˆุชู† ุนู„ู‰ ู…ุชุฑ square
264
+
265
+ 67
266
+ 00:05:36,590 --> 00:05:40,070
267
+ ู„ุนูˆุงุทุฑ ู†ูŠูˆุชู† ูƒู…ุงู† ูƒูŠู„ูˆุฌุฑุงู… ู…ุชุฑ ู…ู…ูƒู† ุฃุฑุฌุน ู„ูˆุญุฏุงุช
268
+
269
+ 68
270
+ 00:05:40,070 --> 00:05:45,730
271
+ ุงู„ุฃุณุงุณูŠุฉุŒ ุนู†ุฏูŠ ุงู„ุฌูˆู„ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ููŠ
272
+
273
+ 69
274
+ 00:05:45,730 --> 00:05:47,830
275
+ ู…ุณุงูุฉุŒ ุงู„ู†ูŠูˆุชู†
276
+
277
+ 70
278
+ 00:05:49,660 --> 00:05:53,980
279
+ ู…ุธุจูˆุทุŸ ุนู†ุฏูŠ ุงู„ู€ .. ุงู„ู€ what? energy per unit time,
280
+
281
+ 71
282
+ 00:05:54,140 --> 00:05:58,740
283
+ joule per secondุŒ ุนู†ุฏูŠ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ charge ุงู„ู„ูŠ
284
+
285
+ 72
286
+ 00:05:58,740 --> 00:06:04,760
287
+ ู‡ูŠ ampere .. ุงู„ู€ ampere second ุฃูˆ ุงู„ู€ ampereุŒ ู…ุง ู‡ูˆ
288
+
289
+ 73
290
+ 00:06:04,760 --> 00:06:08,640
291
+ charge per unit timeุŒ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ ampere ู…ุซู„
292
+
293
+ 74
294
+ 00:06:08,640 --> 00:06:12,730
295
+ ู…ู‚ุฏุงุฑ ุงู„ุดุญู†ุงุชุŒ ู…ุนู†ุงู‡ ุชู‚ูˆู„ charge ุนู„ู‰ ุฃู…ุจูŠุฑ ููŠ second
296
+
297
+ 75
298
+ 00:06:12,730 --> 00:06:19,970
299
+ ุงู„ู€ volt watt ุนู„ู‰ ุฃู…ุจูŠุฑุŒ ุนู†ุฏ ุงู„ู€ capacitance ุงู„ูุฑุงุฏ
300
+
301
+ 76
302
+ 00:06:19,970 --> 00:06:26,070
303
+ ุงู„ู„ูŠ ู‡ูŠ C ุนู„ู‰ ุงู„ู€ charge per unit volumeุŒ ุงู„ู€ ohm ุงู„ู€
304
+
305
+ 77
306
+ 00:06:26,070 --> 00:06:30,810
307
+ resistance volt ุนู„ู‰ ุฃู…ุจูŠุฑุŒ ุงู„ู€ magnetic flux Weber
308
+
309
+ 78
310
+ 00:06:30,810 --> 00:06:36,590
311
+ volt ููŠ secondุŒ ุงู„ู€ magnetic flux density TeslaุŒ ูˆ
312
+
313
+ 79
314
+ 00:06:36,590 --> 00:06:41,370
315
+ ู‡ูƒุฐุง ููŠ other derived unitsุŒ ุนู†ุฏ ุงู„ู€ area ุนุจุงุฑุฉ ุนู†
316
+
317
+ 80
318
+ 00:06:41,370 --> 00:06:45,110
319
+ ู…ุชุฑ ุณูƒูˆูŠุฑุŒ ุงู„ู€ acceleration ู…ุชุฑ per second ุณูƒูˆูŠุฑุŒ ุนู†ุฏ
320
+
321
+ 81
322
+ 00:06:45,110 --> 00:06:47,270
323
+ ุงู„ู€ angular acceleration ุฑุงุฏูŠุงู† per second ุณูƒูˆูŠุฑ
324
+
325
+ 82
326
+ 00:06:47,270 --> 00:06:50,390
327
+ angular velocity ุฑุงุฏูŠุงู† per secondุŒ density ูƒูŠู„ูˆ
328
+
329
+ 83
330
+ 00:06:50,390 --> 00:06:55,950
331
+ ุฌุฑุงู… per ู…ุชุฑ ูƒูŠูˆุจุŒ ู…ุชุฑ ูƒูŠูˆุจุŒ dynamic viscosity ุจุงุณูƒุงู„
332
+
333
+ 84
334
+ 00:06:55,950 --> 00:06:59,470
335
+ ููŠ secondุŒ heat flux watt per meter squareุŒ moment
336
+
337
+ 85
338
+ 00:06:59,470 --> 00:07:04,750
339
+ of force ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† ู‚ูˆุฉ ููŠ ุฐุฑุงุนุŒ 200 ู…ุชุฑุŒ specific
340
+
341
+ 86
342
+ 00:07:04,750 --> 00:07:09,620
343
+ heat capacity ุฌูˆู„ per ูƒูŠู„ูˆุฌุฑุงู… per ูƒู„ูู†
344
+
345
+ 87
346
+ 00:07:09,620 --> 00:07:15,380
347
+ velocity meter per secondุŒ volume ู…ุชุฑ ู…ูƒุนุจุŒ ุงู„ุขู†
348
+
349
+ 88
350
+ 00:07:15,380 --> 00:07:24,900
351
+ ุงู„ุฑุงุฏูŠุงู†ุŒ ุฅุฐุง ุนู†ุฏูŠ ุฏุงุฆุฑุฉ ู†ุตู
352
+
353
+ 89
354
+ 00:07:24,900 --> 00:07:30,620
355
+ ู‚ุทุฑู‡ุง R ูˆุฃุฎุฐุช
356
+
357
+ 90
358
+ 00:07:30,620 --> 00:07:32,640
359
+ arc
360
+
361
+ 91
362
+ 00:07:38,760 --> 00:07:46,200
363
+ ุงู„ู€ arc ู‡ุฐุง ุทูˆู„ู‡ุŒ ุญุณุจ ุทูˆู„ู‡ ูƒู„ู‡ุŒ ูุฑู‘ุถุชู‡ ุทูˆู„ุŒ ุจูŠุทู„ุน R ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:07:46,200 --> 00:07:54,500
367
+ ุงู„ุฒุงูˆูŠุฉ ุฅูŠุดุŸ ุซูŠุชุงุŒ ุงู„ู€ radian ู‡ุฐู‡ 2ฯ€ุŒ ุซูŠุชุง one radian so
368
+
369
+ 93
370
+ 00:07:54,500 --> 00:08:05,040
371
+ R ุนู„ู‰ R ู‡ุฐู‡ ูƒู„ู‡ุง ูƒู…ุŸ 2ฯ€ุŒ ูŠุนู†ูŠ 2ฯ€ by ุตุญุŸ
372
+
373
+ 94
374
+ 00:08:05,040 --> 00:08:06,760
375
+ 2ฯ€ by ู…ุนู†ุงุชู‡
376
+
377
+ 95
378
+ 00:08:09,530 --> 00:08:17,890
379
+ ุงู„ู…ุญูŠุท 2ฯ€ุŒ 2ฯ€R ุนู„ู‰ ู†ุตู ุงู„ู‚ุทุฑ ุจูŠุนุทูŠู†ูŠ ุฒูŠ
380
+
381
+ 96
382
+ 00:08:17,890 --> 00:08:27,630
383
+ ูƒู„ ู…ุญูŠุท R ุจูŠุนุทูŠู†ูŠ ุฅูŠุดุŸ 2ฯ€ุŒ 2ฯ€R ุนุดุงู† ุชุดูˆู
384
+
385
+ 97
386
+ 00:08:27,630 --> 00:08:36,440
387
+ ูˆุญุฏุฉ ุงู„ู€ radian ู…ุชุฑ per ู…ุชุฑุŒ ู…ุชุฑ ู„ูƒู„ ู…ุชุฑ ู‡ุฐุง ู‡ูˆ
388
+
389
+ 98
390
+ 00:08:36,440 --> 00:08:44,980
391
+ ุฃุณุงุณ ุงู„ู€ radianุŒ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช ุฏุงุฆุฑุฉ ูˆุฃุฎุฐุช ู‚ูˆุณ
392
+
393
+ 99
394
+ 00:08:44,980 --> 00:08:48,340
395
+ ุทูˆู„ ุงู„ู€ radianุŒ ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ูŠ one
396
+
397
+ 100
398
+ 00:08:48,340 --> 00:08:56,940
399
+ radianุŒ ู„ูˆ ุฃุฎุฐุช ุฏุงุฆุฑุฉ ู†ุตู ู‚ุทุฑู‡ุง R ูˆุฃุฎุฐุช ู‚ูˆุณ ุทูˆู„
400
+
401
+ 101
402
+ 00:08:56,940 --> 00:09:01,580
403
+ ุงู„ู‚ูˆุณ RุŒ ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ุฐุง ู‡ูŠ one radian
404
+
405
+ 102
406
+ 00:09:01,580 --> 00:09:05,460
407
+ ูˆุงุถุญุŸ ู…ู† ุฃูŠู† ุฃุชุช ุงู„ู€ radianุŸ
408
+
409
+ 103
410
+ 00:09:08,090 --> 00:09:14,530
411
+ ุงู„ุณุชุฑูŠุฏูŠุงู† ู…ุฎุชู„ูุฉ ุดูˆูŠุฉุŒ 3DุŒ ุงู„ุณุชุฑูŠุฏูŠุงู† ุนู†ุฏูŠ ูƒุฑุฉ
412
+
413
+ 104
414
+ 00:09:14,530 --> 00:09:19,750
415
+ ูƒุฑุฉ ูƒุฑุฉ
416
+
417
+ 105
418
+ 00:09:19,750 --> 00:09:26,770
419
+ ูˆุฃุฎุฐุช
420
+
421
+ 106
422
+ 00:09:26,770 --> 00:09:34,970
423
+ radius
424
+
425
+ 107
426
+ 00:09:34,970 --> 00:09:41,760
427
+ ุนู„ู‰ ุงู„ูƒุฑุฉ ู‡ุฐู‡ RุŒ ุฃุฎุฐุช
428
+
429
+ 108
430
+ 00:09:41,760 --> 00:09:46,260
431
+ ุทุงู‚ูŠุฉ ูƒุฑูˆูŠุฉ ู…ุณุงุญุฉ
432
+
433
+ 109
434
+ 00:09:46,260 --> 00:09:54,580
435
+ ู‚ูŠู…ุชู‡ุง RยฒุŒ ุทุงู‚ูŠุฉ
436
+
437
+ 110
438
+ 00:09:54,580 --> 00:09:57,760
439
+ ูƒุฑูˆูŠุฉ
440
+
441
+ 111
442
+ 00:09:57,760 --> 00:10:01,200
443
+ ู…ุณุงุญุชู‡ุง
444
+
445
+ 112
446
+ 00:10:01,200 --> 00:10:05,940
447
+ RยฒุŒ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡
448
+
449
+ 113
450
+ 00:10:10,400 --> 00:10:16,120
451
+ ุงู„ู„ูŠ ุฌุงูŠู‡ ููŠ ุฃุณุทูˆุงู†ุฉุŒ ู†ุณู…ูŠู‡ุง ุฃูˆู…ูŠุบุง ู„ู€ ู„ู€ ู„ู€
452
+
453
+ 114
454
+ 00:10:16,120 --> 00:10:21,480
455
+ ููŠ ูƒุฑุฉุŒ ูƒุฑุฉ ู†ุตู ู‚ุทุฑู‡ุง RุŒ ูˆุจุฃุฎุฐ spherical area
456
+
457
+ 115
458
+ 00:10:21,480 --> 00:10:28,360
459
+ spherical hatุŒ ุงู„ู€ area ุจุชุงุนุชู‡ุง R squareุŒ ู‡ุชูƒูˆู† ุนู†ุฏูŠ
460
+
461
+ 116
462
+ 00:10:28,360 --> 00:10:32,520
463
+ ุงู„ุงุณุชุฑูŠุฏูŠุงู† ุงู„ู„ูŠ
464
+
465
+ 117
466
+ 00:10:32,520 --> 00:10:37,700
467
+ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ R square ุนู„ู‰ R square ุงู„ู„ูŠ
468
+
469
+ 118
470
+ 00:10:37,700 --> 00:10:44,800
471
+ ู‡ูŠ ูˆุงุญุฏ ุงุณุชุฑูŠุฏูŠุงู†ุŒ ู…ุนู†ู‰ ุงุณุชุฑูŠุฏูŠุงู† ู„ูˆ ุฃุฎุฐุช ู…ุณุงุญุฉ ู„ุฃู†
472
+
473
+ 119
474
+ 00:10:44,800 --> 00:10:53,940
475
+ ูƒุฑุฉ ูˆู†ุตู ู‚ุทุฑู‡ุง RุŒ ูˆุฃุฎุฐุช ุทุงู‚ูŠุฉ ูƒุฑูˆูŠุฉ ู…ุณุงุญุชู‡ุง Rยฒ
476
+
477
+ 120
478
+ 00:10:53,940 --> 00:11:00,120
479
+ ุงู„ุงุณุชุฑูŠุฏูŠุงู† ู‡ูŠ ุงู„ู€ ratio ุจูŠู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ ฮฉRยฒ
480
+
481
+ 121
482
+ 00:11:00,120 --> 00:11:05,260
483
+ ุนู„ู‰ Rยฒ ู‡ุฐู‡ one ุงุณุชุฑูŠุฏูŠุงู†ุŒ ุงู„ุขู† ู…ุณุงุญุฉ ุงู„ูƒุฑุฉ ูƒู„ู‡ุง ูƒู…
484
+
485
+ 122
486
+ 00:11:05,260 --> 00:11:18,040
487
+ ุณุทุญูŠุฉ 4ฯ€RยฒุŒ 4ฯ€R square ุนู„ู‰ R square
488
+
489
+ 123
490
+ 00:11:18,040 --> 00:11:21,180
491
+ ุฃุฑุจุนุฉ
492
+
493
+ 124
494
+ 00:11:21,180 --> 00:11:29,640
495
+ ฯ€ ู…ุนู†ุงุชู‡ ุงู„ูƒุฑุฉ ูƒุงู…ู„ุฉ ุนุจุงุฑุฉ ุนู† 4ฯ€ ุงุณุชุฑูŠุฏูŠุงู†
496
+
497
+ 125
498
+ 00:11:29,640 --> 00:11:32,500
499
+ 4ฯ€ ุงุณุชุฑูŠุฏูŠุงู†
500
+
501
+ 126
502
+ 00:11:34,240 --> 00:11:38,880
503
+ ุฃุฑุจุนุฉ ุจุงูŠ ุงุณุชุฑูŠุฏูŠุงู†ุŒ ุนุดุงู† ูƒุฏู‡ ุจุชุดูˆููˆุง ุงู„ู€ ุงุณุชุฑูŠุฏูŠุงู† ู…ุชุฑ
504
+
505
+ 127
506
+ 00:11:38,880 --> 00:11:44,500
507
+ square per meter squareุŒ ุฒูŠ
508
+
509
+ 128
510
+ 00:11:44,500 --> 00:11:49,560
511
+ ู…ุง ุญูƒูŠุชุŒ ุฃู†ุง ุนู†ุฏูŠ ู‡ูŠู† ุงู„ู€ ุงุณุชุฑูŠุฏูŠุงู†ุŒ ุนู†ุฏูŠ ู‡ุงูŠ ูƒุฑุฉุŒ ุฃุฎุฏ
512
+
513
+ 129
514
+ 00:11:49,560 --> 00:11:55,980
515
+ ู†ุตู ู‚ุทุฑ RุŒ ูˆุฃุฎุฐ area ู‚ูŠู…ุชู‡ุง R ุงู„ุณูƒูˆูŠุฑุŒ ูˆู‡ุฐู‡ ู‡ูŠ
516
+
517
+ 130
518
+ 00:11:55,980 --> 00:12:02,540
519
+ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡ ู‡ูŠ one steradianุŒ ุทุจุนุง ุฒูŠ ู…ุง ุดูุชูˆุง ููŠ
520
+
521
+ 131
522
+ 00:12:02,540 --> 00:12:05,640
523
+ ุงู„ููŠุฏูŠูˆุŒ ู‡ู†ุฑุฌุน ู„ูƒู… ุฅูŠุงู‡ุŒ ุงู„ู€ steradian ุจุชููŠุฏ ุจุชุญุฏุฏ
524
+
525
+ 132
526
+ 00:12:05,640 --> 00:12:09,380
527
+ ู…ุซู„ุง ููŠ ู…ุฌุงู„ ุงู„ุฑุคูŠุฉุŒ ุฃู†ุง ุนู†ุฏูŠ ุฃู†ุง ู„ู…ุง ุจุฃู‚ุนุฏ ุจุฃู‚ูˆู„ ุฃู†ุง
528
+
529
+ 133
530
+ 00:12:09,380 --> 00:12:14,640
531
+ ุจุดูˆููƒ 200 ุฏุฑุฌุฉ ุฒูŠ ู‡ูŠูƒ ูˆุจุดูˆููƒ 130 ุฏุฑุฌุฉ
532
+
533
+ 134
534
+ 00:12:14,640 --> 00:12:19,220
535
+ ุญูƒูŠุช ู„ูƒุŒ ู‡ุงูŠ ุงู„ู€ steradian ุชุจุนู‡ุŒ ู‡ุงูŠ ุงู„ู€ steradian ุชุจุนู‡
536
+
537
+ 135
538
+ 00:12:21,570 --> 00:12:28,070
539
+ ูู‡ูŠ .. ูŠุนู†ูŠ ุฅุฒุงูŠ ู†ุญูƒูŠ .. ูŠุนู†ูŠ ู‡ูŠ .. ุฒูŠ ู…ุง ุฃุญูƒูŠ
540
+
541
+ 136
542
+ 00:12:28,070 --> 00:12:34,130
543
+ ู„ู„ุณุชุฑูŠุฏูŠุงู†ุŒ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ area ุนู„ู‰ RยฒุŒ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ Rยฒ ุนู„ู‰
544
+
545
+ 137
546
+ 00:12:34,130 --> 00:12:39,130
547
+ Rยฒ ูŠุนู†ูŠ ุชุจู‚ู‰ ูŠุนู†ูŠ one .. one steradian .. one
548
+
549
+ 138
550
+ 00:12:39,130 --> 00:12:47,430
551
+ steradianุŒ ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุงู„ู€ multiplying factors ุณูˆุงุก
552
+
553
+ 139
554
+ 00:12:47,430 --> 00:12:54,280
555
+ ูƒุงู† ุจุงู„ุงุฑุชูุงุน ุฃูˆ ุจุงู„ุงู†ุฎูุงุถุŒ ูŠุนู†ูŠ ุนุดุฑ ุนู‚ู„ ูˆุงุญุฏ ุฏูŠูƒุง
556
+
557
+ 140
558
+ 00:12:54,280 --> 00:13:00,660
559
+ ุฏูŠุŒ ุนุดุฑ ุนู‚ู„ ุงุซู†ูŠู† ู‡ูƒุชูˆุŒ ุนุดุฑ ุนู‚ู„ ุซู„ุงุซุฉ ูƒูŠู„ูˆุŒ ุนู†ุฏูŠ
560
+
561
+ 141
562
+ 00:13:00,660 --> 00:13:06,060
563
+ kilometerุŒ ุนุดุฑ ุนู‚ู„ ุณุชุฉ ู…ูŠุฌุงุŒ ู…ูŠุฌุง ูˆุงุช ูŠุนู†ูŠ ู…ู„ูŠูˆู† ูˆุงุช
564
+
565
+ 142
566
+ 00:13:06,060 --> 00:13:14,230
567
+ ุนุดุฑ ุนู‚ู„ ุชุณุนุฉ ุฌูŠุฌุงุŒ ุฌูŠุฌุง ูˆุงุช ู…ู„ูŠุงุฑ ูˆุงุชุŒ ุนุดุฑุฉ ุนู‚ู„ ุงุซู†ูŠ ุนุดุฑ
568
+
569
+ 143
570
+ 00:13:14,230 --> 00:13:19,110
571
+ ุชูŠุฑุงุŒ ุนุดุฑุฉ ุนู‚ู„ ุฎู…ุณุฉ ุนุดุฑ ุจูŠุชุงุŒ ุนุดุฑุฉ ุนู‚ู„ ุซู…ุงู†ูŠุฉ ุนุดุฑ
572
+
573
+ 144
574
+ 00:13:19,110 --> 00:13:22,130
575
+ ุฅูŠูƒุณุงุŒ ุนุดุฑุฉ ุนู‚ู„ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ุฒูŠุชุงุŒ ุนุดุฑุฉ ุนู‚ู„ ุฃุฑุจุนุฉ
576
+
577
+ 145
578
+ 00:13:22,130 --> 00:13:29,950
579
+ ูˆุนุดุฑูŠู† ูŠูˆุชุงุŒ ุงู„ุขู† ููŠ ุงู„ุนูƒุณ ุจุฏูŠ ุฃู†ุฒู„ุŒ ุงู„ู€ dCุŒ dC ู…ุชุฑ
580
+
581
+ 146
582
+ 00:13:29,950 --> 00:13:35,090
583
+ ุน๏ฟฝ๏ฟฝุฑุฉ ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏ ุณู†ุชูŠุŒ ุฃูˆ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏ ู…ุชุฑุŒ ุณู†ุชูŠ
584
+
585
+ 147
586
+ 00:13:36,260 --> 00:13:39,860
587
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุงุซู†ูŠู† ู…ู„ูŠุŒ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุซู„ุงุซุฉ ู…ุงูŠูƒุฑูˆ
588
+
589
+ 148
590
+ 00:13:39,860 --> 00:13:44,940
591
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุณุชุฉ ู†ุงู†ูˆุŒ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุชุณุนุฉ ุจูŠูƒูˆุŒ ุนุดุฑุฉ
592
+
593
+ 149
594
+ 00:13:44,940 --> 00:13:49,520
595
+ ุฃุณ ู†ุงู‚ุต ุงุซู†ูŠ ุนุดุฑ ูู…ุชูˆุŒ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุฎู…ุณุฉ ุนุดุฑ ุฃุชูˆุŒ ุนุดุฑุฉ ุฃุณ
596
+
597
+ 150
598
+ 00:13:49,520 --> 00:13:53,880
599
+ ู†ุงู‚ุต ุซู…ุงู†ูŠุฉ ุนุดุฑ ุฒุจุชูˆุŒ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูŠูƒุชูˆ
600
+
601
+ 151
602
+ 00:13:53,880 --> 00:14:01,800
603
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุฃุฑุจุนุฉ ูˆุนุดุฑูŠู†ุŒ ุงู„ุขู†
604
+
605
+ 152
606
+ 00:14:01,800 --> 00:14:08,930
607
+ ุงู„ู€ standard of length ุงู„ู…ุชุฑ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุทูˆู„ ุงู„ู…ุณุงุฑ
608
+
609
+ 153
610
+ 00:14:08,930 --> 00:14:16,550
611
+ ุงู„ู„ูŠ ูŠู…ุดูŠู‡ ุงู„ุถูˆุก ููŠ ุงู„ูุฑุงุบ ููŠ ุฎู„ุงู„ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุชูู‚ุฏุฑ
612
+
613
+ 154
614
+ 00:14:16,550 --> 00:14:21,410
615
+ ูˆุงุญุฏ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุกุŒ ุฅุฐุง ู…ุงุดูŠ ููŠ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ูˆุงุญุฏ
616
+
617
+ 155
618
+ 00:14:21,410 --> 00:14:27,810
619
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ููŠ
620
+
621
+ 156
622
+ 00:14:27,810 --> 00:14:32,350
623
+ ุงู„ูุฑุงุบ ู‡ูŠ ุงู„ู…ุชุฑุŒ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ูˆุงุญุฏุฉ ุนู„ู‰ ุณุฑุนุฉ
624
+
625
+ 157
626
+ 00:14:32,350 --> 00:14:37,740
627
+ ุงู„ุถูˆุกุŒ ุจุณุฑุนุฉ ุงู„ุถูˆุก ุงุดุชู‚ูŠู†ุง ุงู„ู…ุชุฑุŒ ูˆุงุถุญุŸ ู„ุฃู† ุณุฑุนุฉ ุงู„ุถูˆุก
628
+
629
+ 158
630
+ 00:14:37,740 --> 00:14:41,980
631
+ ุฅูŠุดุŸ ู…ุชุฑ per secondุŒ ูˆุงุญุฏ ุนู„ู‰ ู…ุชุฑ per second ูŠุนุทูŠู†ุง
632
+
633
+ 159
634
+ 00:14:41,980 --> 00:14:48,860
635
+ ุฅูŠุดุŸ secondุŒ ูู‚ูˆู„ูˆุง ู„ูˆ ุณุฑุนุฉ ุงู„ุถูˆุก second ูŠุนู†ูŠ
636
+
637
+ 160
638
+ 00:14:48,860 --> 00:14:56,050
639
+ ุงู„ุณุฑุนุฉ ููŠ ุงู„ุฒู…ู† ุฅูŠุด ุจูŠุนุทูŠู†ุงุŸ ู…ุณุงูุฉุŒ ุตุญุŸ ูู…ุนู†ุงุชู‡ ุงู„ู€
640
+
641
+ 161
642
+ 00:14:56,050 --> 00:14:59,030
643
+ meter ู‡ูˆ ุงู„ู…ุณุงูุฉุŒ ุงู„ู€ length of the path travelled
644
+
645
+ 162
646
+ 00:14:59,030 --> 00:15:02,750
647
+ by light in vacuum during a time interval ูŠุณุงูˆูŠ
648
+
649
+ 163
650
+ 00:15:02,750 --> 00:15:09,510
651
+ ูˆุงุญุฏ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุกุŒ ุงู„ู€ one inch ูŠุณุงูˆูŠ 2.54 centimeterุŒ ุงู„ู€
652
+
653
+ 164
654
+ 00:15:09,510 --> 00:15:16,770
655
+ 2.54 centimeterุŒ ุงู„ู€
656
+
657
+ 165
658
+ 00:15:16,770 --> 00:15:21,260
659
+ kilogram mass of the international prototype
660
+
661
+ 166
662
+ 00:15:21,260 --> 00:15:25,460
663
+ kilogramุŒ ููŠ ุนู†ุฏ ูƒุชู„ุฉ ู…ุญููˆุธุฉ ู…ุตู†ูˆุนุฉ ู…ู†
664
+
665
+ 167
666
+ 00:15:25,460 --> 00:15:28,100
667
+ ุงู„ุจู„ุงุชูŠู†ูŠูˆู… ูˆุงู„ุงุฑูŠุฏูŠูˆู…ุŒ ู…ุญููˆุธุฉ ููŠ ุงู„ู€ international
668
+
669
+ 168
670
+ 00:15:28,100 --> 00:15:32,080
671
+ bureau of weights and measures ููŠ ูุฑู†ุณุงุŒ ู‡ุฐู‡ ุงู„ู€
672
+
673
+ 169
674
+ 00:15:32,080 --> 00:15:35,660
675
+ kilogramุŒ one pound mass is 7.45359237 kilogramุŒ ุงู„ู€ second
676
+
677
+ 170
678
+ 00:15:35,660 --> 00:15:38,500
679
+ 7.45359237 kilogramุŒ ุงู„ู€ second
680
+
681
+ 171
682
+ 00:15:46,920 --> 00:15:53,680
683
+ ุงู„ู€ duration of ุงู„ุขู† ู„ูˆ ุงุชูƒู„ู…ู†ุง ุนู† ุงู„ุณูŠุฒูŠูˆู…ุŒ ุงู„ุณูŠุฒูŠูˆู…
684
+
685
+ 172
686
+ 00:15:53,680 --> 00:16:01,400
687
+ 133ุŒ ู…ุด ู‡ุงุฎุด ููŠ ุงู„ุชูุงุตูŠู„ุŒ ู‡ุงูŠ ุงู„ู…ุณุชูˆูŠุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉุŒ ู‡ุงูŠ
688
+
689
+ 173
690
+ 00:16:01,400 --> 00:16:05,340
691
+ ุงู„ู…ุณุชูˆูŠุงุช ุงู„ุฃุฎุฑู‰ุŒ ุงู„ู…ุณุชูˆูŠุงุช ุงู„ุฃุฎุฑู‰ ููŠู‡ุง ุฅู„ูƒุชุฑูˆู†ุŒ ุงู„ุฅู„ูƒุชุฑูˆู†
692
+
693
+ 174
694
+ 00:16:05,340 --> 00:16:09,060
695
+ ู‡ุฐุง ุจุงู„ุฐุงุช ุฏู‡ ุจูŠู†ุชู‚ู„ ู‡ูŠูƒ ุจูŠู† ุงู„ู…ุณุชูˆู‰ ู‡ุฐุง ูˆุงู„ู…ุณุชูˆู‰
696
+
697
+ 175
698
+ 00:16:09,060 --> 00:16:15,280
699
+ ู‡ุฐุงุŒ ุนู„ู‰ ุฃูŠ ุญุงุฌุฉุŒ ุงู„ู€ second
700
+
701
+ 176
702
+ 00:16:16,840 --> 00:16:22,640
703
+ ุงู„ู€ duration ู‡ูŠ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ู„ุชุณุนุฉ ู…ู„ุงูŠูŠู† ูˆู…ุงุฆุฉ ูˆ
704
+
705
+ 177
706
+ 00:16:22,640 --> 00:16:24,140
707
+ ุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆ
708
+
709
+ 178
710
+ 00:16:24,140 --> 00:16:25,260
711
+ ุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆ
712
+
713
+ 179
714
+ 00:16:25,260 --> 00:16:25,740
715
+ ุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆุงุซู†ูŠู† ูˆ
716
+
717
+ 180
718
+ 00:1
719
+
720
+ 223
721
+ 00:19:17,470 --> 00:19:23,430
722
+ ุงุชู†ูŠู† ุจู†ุนู…ู„ูˆุง ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ scale
723
+
724
+ 224
725
+ 00:19:23,430 --> 00:19:27,690
726
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุจุชูุงุตูŠู„ ู‡ุฐู‡ ู„ู…ุง ู†ูŠุฌูŠ ู„ู‚ูŠุงุณุงุช ุฏุฑุฌุฉ
727
+
728
+ 225
729
+ 00:19:27,690 --> 00:19:32,210
730
+ ุงู„ุญุฑุงุฑุฉ ุทูŠุจ
731
+
732
+ 226
733
+ 00:19:36,070 --> 00:19:39,670
734
+ ุงู„ุขู† ุงู„ุฑุงูŠู† ูƒุงู† ุจุงู„ุณูˆุงุก one point one point eight
735
+
736
+ 227
737
+ 00:19:39,670 --> 00:19:45,590
738
+ Kelvin ูˆุงู„ูุฑู† ู‡ุงุช ุจุงู„ุณูˆุงุก ุงู„ู€ ุงุฑ ุจุงูŠู†ุณ ุงุฑุจุนูŠู† ูˆ ุชุณุนุฉ
739
+
740
+ 228
741
+ 00:19:45,590 --> 00:19:50,190
742
+ ูˆ ุฎู…ุณูŠู† point ุณุชุฉ ุณุจุนุฉ ุทุจุนุง ุฃู†ุง ุจุณุชุฎุฏู… ุจู…ุญุชุงุฌ
743
+
744
+ 229
745
+ 00:19:50,190 --> 00:19:53,630
746
+ ู„ุฃุฌู‡ุฒุฉ ู…ุนูŠุงุฑูŠุฉ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ ููŠ ุนู†ุฏู‡ุง ุงู„ู…ุญูŠุท ู…ุนู„ู†
747
+
748
+ 230
749
+ 00:19:53,630 --> 00:19:57,830
750
+ ุงู„ู€ standardized ุจุงูŠุฑูˆู…ูŠุชุฑุŒ ุนู†ุฏ ุงู„ู€ standardized
751
+
752
+ 231
753
+ 00:19:57,830 --> 00:20:02,070
754
+ resistance thermometer ูˆ ุงู„ู€ standardized gas
755
+
756
+ 232
757
+ 00:20:02,070 --> 00:20:05,630
758
+ thermometerุŒ ู‡ุฏูˆู„ ู‡ู†ู…ุฑ ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ ุงู„ู€ chapter
759
+
760
+ 233
761
+ 00:20:05,630 --> 00:20:13,050
762
+ ุงู„ุญุฑุงุฑุฉ ุงู„ุขู†ุŒ ุงู„ู€ system of unitsุŒ ููŠ ุนู†ุฏูŠ ุงู„๏ฟฝ๏ฟฝุญุฏุงุช
763
+
764
+ 234
765
+ 00:20:13,050 --> 00:20:18,370
766
+ ุงู„ู„ูŠ ู‡ูŠ ุญุณุจ ุงู„ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ู€ SIุŒ ุงู„ู€ SI unitุŒ ุงู„ู€
767
+
768
+ 235
769
+ 00:20:18,370 --> 00:20:24,910
770
+ CGS unit systemุŒ ุนู†ุฏูŠ ุงู„ู€ English engineering unitุŒ ุงู„ู€
771
+
772
+ 236
773
+ 00:20:24,910 --> 00:20:29,410
774
+ absolute English ูˆ ุงู„ู€ technical English ููŠ ุงู„ู€ ASI
775
+
776
+ 237
777
+ 00:20:29,410 --> 00:20:34,010
778
+ ุนู†ุฏูŠ ูˆุญุฏุงุช ุงู„ู€ mass ูˆ ุงู„ู€ length ูˆ ุงู„ู€ timeุŒ ุงู„ู€ length
779
+
780
+ 238
781
+ 00:20:34,010 --> 00:20:40,330
782
+ meterุŒ secondุŒ ุงู„ู€ time secondุŒ ุงู„ู€ mass kilogramุŒ ุงู„ู€
783
+
784
+ 239
785
+ 00:20:40,330 --> 00:20:46,270
786
+ cgs centimeter second gram
787
+
788
+ 240
789
+ 00:20:48,160 --> 00:20:54,700
790
+ ุงู„ู€ English engineering ู‚ุฏู… second pound massุŒ ุตุงุฑ
791
+
792
+ 241
793
+ 00:20:54,700 --> 00:21:00,340
794
+ ุนู†ุฏูŠ ูˆุงุญุฏุฉ ุฑุงุจุนุฉุŒ pound forceุŒ ุงู„ู€ absolute English
795
+
796
+ 242
797
+ 00:21:00,340 --> 00:21:09,740
798
+ ู‚ุฏู… ุซุงู†ูŠุฉ pound mass poundelุŒ ุงู„ู€ technical English
799
+
800
+ 243
801
+ 00:21:09,740 --> 00:21:19,090
802
+ ู‚ุฏู… ุซุงู†ูŠุฉ slug pound forceุŒ pound forceุŒ ู†ุฑุฌุน ู„ู‡ู†ุง
803
+
804
+ 244
805
+ 00:21:19,090 --> 00:21:28,130
806
+ ู„ู†ูŠูˆุชู†ุŒ ู„ูˆ ุนู†ุฏ ุฌุณู…
807
+
808
+ 245
809
+ 00:21:28,130 --> 00:21:35,710
810
+ apply a force FุŒ ูƒู…ูŠุฉ ูˆุงุญุฏ ู†ูŠูˆุชู†ุŒ ู„ู†ูŠูˆุชู† ู‡ูŠ ุงู„ู€ force
811
+
812
+ 246
813
+ 00:21:35,710 --> 00:21:38,490
814
+ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุฃุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one kilogram
815
+
816
+ 247
817
+ 00:21:40,640 --> 00:21:44,420
818
+ ุจุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ per secondุŒ ุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ
819
+
820
+ 248
821
+ 00:21:44,420 --> 00:21:49,780
822
+ per secondุŒ ู‡ุฐุง ุงู„ูˆุงุญุฏ ู†ูŠูˆุชู†ุŒ ุนุดุงู† ู‡ูŠูƒ ู‡ุชูƒูˆู† ุงู„ูˆุงุญุฏ
823
+
824
+ 249
825
+ 00:21:49,780 --> 00:21:55,980
826
+ ู†ูŠูˆุชู† ุจุงู„ุณูˆุงุก ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ mass kilogram ููŠ ุงู„ู€
827
+
828
+ 250
829
+ 00:21:55,980 --> 00:21:59,560
830
+ acceleration meter ุนู„ู‰ second squareุŒ ู…ุนู†ุงุชู‡
831
+
832
+ 251
833
+ 00:21:59,560 --> 00:22:01,780
834
+ ุงู„ู†ูŠูˆุชู† ู‡ูˆ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุฃุญุฑูƒ ุฌุณู…ูŠุŒ ุฃุฎูˆุชูŠ
835
+
836
+ 252
837
+ 00:22:01,780 --> 00:22:05,640
838
+ to one kilogram ุจุฃูƒุณู„ุงุฑูŠุดู† meter per second square
839
+
840
+ 253
841
+ 00:22:05,640 --> 00:22:08,120
842
+ ุงู„ุฏูŠู†
843
+
844
+ 254
845
+ 00:22:15,390 --> 00:22:26,730
846
+ ุงู„ุฏูŠู†ุŒ ุฌุฑุงู… ููŠ ุณุงู†ุชู…ุชุฑ per second squareุŒ ุงู„ุฏูŠู†
847
+
848
+ 255
849
+ 00:22:26,730 --> 00:22:30,970
850
+ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุฃุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ ุงู„ู€ gram ุจู€
851
+
852
+ 256
853
+ 00:22:30,970 --> 00:22:34,370
854
+ acceleration ู‚ูŠู…ุชู‡ุง ูˆุงุญุฏ ุณุงู†ุชู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน
855
+
856
+ 257
857
+ 00:22:34,370 --> 00:22:40,050
858
+ ุญุฏูŠุซ ุงู„ุฏูŠู†ุŒ ุงู„ู€ pound force ููŠ ุงู„ู†ุธุงู… ู‡ุฐุง pound
859
+
860
+ 258
861
+ 00:22:40,050 --> 00:22:53,440
862
+ forceุŒ ูˆุงุญุฏ pound force ุจุณุงูˆูŠ ูˆุงุญุฏ
863
+
864
+ 259
865
+ 00:22:53,440 --> 00:23:00,740
866
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
867
+
868
+ 260
869
+ 00:23:02,040 --> 00:23:05,880
870
+ ุนู„ู‰ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุนุŒ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ
871
+
872
+ 261
873
+ 00:23:05,880 --> 00:23:10,600
874
+ ุนุดุงู† ุฃุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one pound mass ุจู€ acceleration
875
+
876
+ 262
877
+ 00:23:10,600 --> 00:23:13,240
878
+ ูƒู…ูŠุฉ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ ุซุงู†ูŠุฉ
879
+
880
+ 263
881
+ 00:23:13,240 --> 00:23:21,920
882
+ ุชุฑุจูŠุนุŒ ุงู„ู€ acceleration of gravityุŒ ุงู„ู€ poundalุŒ ุงู„ู€
883
+
884
+ 264
885
+ 00:23:21,920 --> 00:23:22,480
886
+ poundal
887
+
888
+ 265
889
+ 00:23:27,360 --> 00:23:35,720
890
+ ุจุณุงูˆูŠ ูˆุงุญุฏ pound mass ููŠ ูˆุงุญุฏ foot ุนู„ู‰ second
891
+
892
+ 266
893
+ 00:23:35,720 --> 00:23:39,200
894
+ squareุŒ pound ุงู„ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ุบูŠุฑ ุงู„ู€ pound forceุŒ ู‡ูŠ
895
+
896
+ 267
897
+ 00:23:39,200 --> 00:23:46,100
898
+ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุฃุญุฑูƒ one pound ูˆุฒู† ูƒุชู„ุชู‡ ุฃูˆ ุฌุณู…
899
+
900
+ 268
901
+ 00:23:46,100 --> 00:23:49,760
902
+ ูƒุชู„ุชู‡ one pound mass ุจู€ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
903
+
904
+ 269
905
+ 00:23:49,760 --> 00:23:57,970
906
+ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุนุŒ ุงู„ุขุฎุฑ ูˆุงุญุฏุฉ ุงู„ู€ poundุŒ ุงู„ู€ pound force
907
+
908
+ 270
909
+ 00:23:57,970 --> 00:24:01,450
910
+ ุจุงู„ุณุงูˆูŠุฉ
911
+
912
+ 271
913
+ 00:24:01,450 --> 00:24:09,250
914
+ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ
915
+
916
+ 272
917
+ 00:24:09,250 --> 00:24:16,270
918
+ ู‚ุฏู…ุŒ ุงู„ู€ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุฃุญุฑูƒ
919
+
920
+ 273
921
+ 00:24:16,270 --> 00:24:22,670
922
+ ุฌุณู… ูƒุชู„ุชู‡ one slug ุจู€ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
923
+
924
+ 274
925
+ 00:24:22,670 --> 00:24:28,360
926
+ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุนุŒ ู…ุนู†ุงุชู‡ ููŠ relationุŒ ู„ูˆ ุฃุฎุฏู†ุง ู‡ุฐู‡ ู„ูˆ
927
+
928
+ 275
929
+ 00:24:28,360 --> 00:24:40,360
930
+ ุณูˆูŠู†ุง ู‡ุฐู‡ ุจู‡ุฐู‡ุŒ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
931
+
932
+ 276
933
+ 00:24:40,360 --> 00:24:48,680
934
+ ุซุงู†ูŠุฉ ุชุฑุจูŠุน ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ pound mass ููŠ ุงุชู†ูŠู†
935
+
936
+ 277
937
+ 00:24:48,680 --> 00:24:55,620
938
+ ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ second ุชุฑุจูŠุนุŒ ู…ุนู†ุงุชู‡
939
+
940
+ 278
941
+ 00:24:55,620 --> 00:25:01,780
942
+ ุงู„ู€ pound mass ู‡ูŠุฑูˆุญ ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ุŒ ุตุญุŒ ุงู„ู€ pound mass
943
+
944
+ 279
945
+ 00:25:01,780 --> 00:25:08,560
946
+ ุจุณุงูˆูŠ ูˆุงุญุฏ slug ุนู„ู‰
947
+
948
+ 280
949
+ 00:25:08,560 --> 00:25:11,360
950
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ slug
951
+
952
+ 281
953
+ 00:25:11,360 --> 00:25:13,520
954
+ ุจูŠุณุงูˆูŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุน pound mass
955
+
956
+ 282
957
+ 00:25:23,070 --> 00:25:27,610
958
+ ุงู„ุฃูƒุซุฑ ๏ฟฝ๏ฟฝูŠูˆุนุงู‹ุŒ ุงู„ุฃูƒุซุฑ ุดูŠูˆุนุงู‹ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ูˆู‡ุฐุง
959
+
960
+ 283
961
+ 00:25:33,920 --> 00:25:38,380
962
+ ููŠ ูุชุฑุฉ ู‚ุฏูŠู…ุฉ ูƒุงู†ุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ .. ุจุณ ุจุฑูŠุทุงู†ูŠุง
963
+
964
+ 284
965
+ 00:25:38,380 --> 00:25:40,920
966
+ ุงู„ุญุงูƒู…ุฉ ุนุงู…ู„ุฉ ุงู„ุฃู†ุธู…ุฉุŒ ู…ุง ูƒุงู†ุด ุฏูˆู„ ุชุงู†ูŠุฉุŒ ู…ุง ูƒุงู†ุด
967
+
968
+ 285
969
+ 00:25:40,920 --> 00:25:45,480
970
+ ุนู†ุฏูƒ ุงู„ู€ metric systemุŒ ุฃู„ู…ุงู†ูŠุง ู…ุง ูƒุงู†ุด ู…ูˆุฌูˆุฏุฉุŒ ูุธู‡ุฑุช
971
+
972
+ 286
973
+ 00:25:45,480 --> 00:25:47,640
974
+ ุงู„ู€ standardsุŒ ูˆุจุนุฏูŠู† ุจุฏูˆุง ูŠุบูŠุฑูˆุงุŒ ููŠ ุงู„ุจุฏุงูŠุฉ
975
+
976
+ 287
977
+ 00:25:47,640 --> 00:25:50,840
978
+ ู…ุง ูƒุงู†ุด ููŠู‡ ุชูˆุญูŠุฏุŒ ูŠุนู†ูŠ ูƒุงู† ุฏูˆู„ ู…ู†ูุตู„ุฉ ูƒุงู…ู„
979
+
980
+ 288
981
+ 00:25:50,840 --> 00:25:54,760
982
+ standard ุฃูˆ ุฃูƒุซุฑ ู…ู† standardุŒ ุจุนุฏูŠู† ุงู„ุนุงู„ู… ูƒุจุฑุŒ ุตุงุฑ
983
+
984
+ 289
985
+ 00:25:54,760 --> 00:25:58,160
986
+ ุฃู† ุงู„ู…ุทุงุฑุงุช ูˆุญุฑูŠุฉ ุงู„ุชู†ู‚ู„ุŒ ูˆุตุงุฑ ุงู„ุนุงู„ู… ูŠุฒุฑู‚ูˆุง
987
+
988
+ 290
989
+ 00:25:58,160 --> 00:26:03,160
990
+ ุงู„ู…ุงู„ุŒ ูุตุงุฑ ุงู„ู†ุงุณ ุชุชุนุงู…ู„ ู…ุน ุจุนุถ ุจุดูƒู„ ุงุญุชูƒุงูƒ ู…ุจุงุดุฑ ูˆ
991
+
992
+ 291
993
+ 00:26:03,160 --> 00:26:08,200
994
+ ุจุทู„ุช ุงู„ุตู†ุงุนุงุช ู…ุญุชูƒุฑุฉ ุจุฏูˆู„ุฉ ู…ุนูŠู†ุฉุŒ ูุตุงุฑ ุงู„ุฃู„ู…ุงู†
995
+
996
+ 292
997
+ 00:26:08,200 --> 00:26:10,720
998
+ ูŠุตู†ุนูˆุงุŒ ุงู„ูŠุงุจุงู†ูŠูŠู† ูŠุตู†ุนูˆุงุŒ ุตุงุฑ ุงู„ุฃู„ู…ุงู† ูŠุนู…ู„ูˆุง
999
+
1000
+ 293
1001
+ 00:26:10,720 --> 00:26:13,120
1002
+ standard ู„ุญุงู„ู‡ุŒ ุงู„ูŠุงุจุงู† ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard
1003
+
1004
+ 294
1005
+ 00:26:13,120 --> 00:26:15,440
1006
+ ู„ุญุงู„ู‡ุŒ ุงู„ุฃู…ุฑูŠูƒูŠ ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard ู„ุญุงู„ู‡ ูˆ
1007
+
1008
+ 295
1009
+ 00:26:15,440 --> 00:26:17,860
1010
+ ุงุฌุชู…ุงุน ู„ู‡ ู…ุดุงูƒู„ุŒ ู…ุด ุนุงุฑููˆุง ูŠุชุนุงู…ู„ูˆุง ู…ุน ุจุนุถุŒ ูˆ
1011
+
1012
+ 296
1013
+ 00:26:17,860 --> 00:26:21,040
1014
+ ุจุงู„ุชุงู„ูŠ ุฌู„ุณูˆุง ู…ุน ุจุนุถ ูˆุญูƒูˆุง ุฅู†ู†ุง ู†ูˆุญุฏุŒ ูŠุนู†ูŠ ุฃู†ุช ..
1015
+
1016
+ 297
1017
+ 00:26:21,040 --> 00:26:23,920
1018
+ ุฃู†ุช ุนู…ู„ุช standardุŒ ู…ุงุดูŠุŒ ูˆุฃู†ุง ุนู…ู„ุช standardุŒ ุจุณ ุฏู‡
1019
+
1020
+ 298
1021
+ 00:26:23,920 --> 00:26:29,800
1022
+ ู†ุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ ุจูŠู† ู‡ุฐู‡ ุงู„ู€ standardsุŒ ุทุจุนุงู‹ ุญุงู„ูŠุงู‹ ุงู„ู€
1023
+
1024
+ 299
1025
+ 00:26:29,800 --> 00:26:34,740
1026
+ .. ุงู„ุฐูŠ ูŠุณูˆุฏุŒ ูˆู‡ูŠู†ุชู‡ูŠ ุนู„ู‰ ุงู„ู…ู‚ุงู…ุฉ ุงู„ุจุนูŠุฏุŒ ู‡ูŠู†ุชู‡ูŠ
1027
+
1028
+ 300
1029
+ 00:26:34,740 --> 00:26:37,460
1030
+ ุงู„ู†ุธุงู… ุงู„ุฅู†ุฌู„ูŠุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ ASI systemุŒ ุงู„ู€ metric
1031
+
1032
+ 301
1033
+ 00:26:37,460 --> 00:26:42,960
1034
+ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ููŠ ุฃู…ุฑูŠูƒุง ุทู„ุนูˆุง ู‚ุฑุงุฑ ุณู†ุฉ ุงู„ุชุณุนูŠู†ุŒ ูˆูˆุนุฏูˆุง
1035
+
1036
+ 302
1037
+ 00:26:42,960 --> 00:26:47,780
1038
+ ูุชุฑุฉ ุณู†ุฉ ูˆุฎู…ุณ ุณู†ูˆุงุชุŒ ุฃู†ู‡ ููŠ ุงู„ุณู†ุฉ ุงู„ุฎู…ุณูŠู† ูŠู†ุชู‡ูŠ
1039
+
1040
+ 303
1041
+ 00:26:47,780 --> 00:26:53,720
1042
+ ุงู„ุชุนุงู…ู„ ุจุงู„ู€ English systemุŒ ุทุจุนุงู‹ ู…ุง ู‚ุฏุฑูˆุด ุชู‚ุฑูŠุจุงู‹
1043
+
1044
+ 304
1045
+ 00:26:53,720 --> 00:26:57,400
1046
+ ุฃูุฒูˆู…ูŠ ููŠ ุงู„ู…ูŠุงู‡ุŒ ู„ุฃู† ุงู„ู†ุงุณ ุซู‚ุงูุชู‡ู… ู…ูุจุฑู…ุฌุฉ ุนู„ู‰ ู†ุธุงู…
1047
+
1048
+ 305
1049
+ 00:26:57,400 --> 00:27:02,740
1050
+ ุงู„ู€ English systemุŒ ูŠุนู†ูŠ ุจูŠุญูƒูŠู„ูƒ .. ุฃู†ุช ุจุชูู‡ู… ุฅุฐุง
1051
+
1052
+ 306
1053
+ 00:27:02,740 --> 00:27:06,560
1054
+ ุชุญูƒูŠ ุฎู…ุณุฉ ุณู†ุชูŠุŒ ุฎู…ุณุฉ ุณู†ุชูŠุŒ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ a couple of
1055
+
1056
+ 307
1057
+ 00:27:06,560 --> 00:27:12,160
1058
+ two inchesุŒ ุจูŠูู‡ู…ุŒ ุจุฎู‡ ู…ุฑุงูƒุจ ุนู„ู‰ ุงู„ุงู†ุดุงุชุŒ ูŠุนู†ูŠ ุจุชุญูƒูŠ
1059
+
1060
+ 308
1061
+ 00:27:12,160 --> 00:27:15,200
1062
+ ูˆุงู„ู„ู‡ ุงู„ุณุฑุนุฉ ู…ุงุดูŠุฉ ุจู‚ู‰ ู…ุงุฆุฉ ูƒูŠู„ูˆู…ุชุฑ ุงู„ุณุงุนุฉุŒ ุจูŠุญูƒูŠู„ูƒ
1063
+
1064
+ 309
1065
+ 00:27:15,200 --> 00:27:21,750
1066
+ ุงู„ุณุงุนุฉุŒ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุงู‹ ุณุชูŠู† mile per hourุŒ ู…ุฎู‡ ู„ุณู‡ ุฑุงูƒุน
1067
+
1068
+ 310
1069
+ 00:27:21,750 --> 00:27:25,310
1070
+ ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉุŒ ุทุจุนุงู‹ ุจุชุชุบูŠุฑ ุฃุฌูŠุงู„ ูŠุนู†ูŠ
1071
+
1072
+ 311
1073
+ 00:27:25,310 --> 00:27:29,010
1074
+ ุจุชูˆู‚ุน .. ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุฃูƒูŠุฏ ุงู„ู†ุธุงู… ุงู„ู€ ู…ุชุฑ ู‡ูŠุณูˆุฏ
1075
+
1076
+ 312
1077
+ 00:27:29,010 --> 00:27:38,590
1078
+ ู„ุฃู†ู‡ ุฃุณู‡ู„ ูƒุชูŠุฑ ููŠ ุงู„ุชุนุงู…ู„ุŒ ู†ุดูˆู
1079
+
1080
+ 313
1081
+ 00:27:38,590 --> 00:27:39,110
1082
+ ู…ุซุงู„
1083
+
1084
+ 314
1085
+ 00:27:47,080 --> 00:27:50,160
1086
+ determine the conversion factor between pound
1087
+
1088
+ 315
1089
+ 00:27:50,160 --> 00:28:02,680
1090
+ force and newtonุŒ ุงู„ู€ pound
1091
+
1092
+ 316
1093
+ 00:28:02,680 --> 00:28:10,020
1094
+ forceุŒ ุงูŠุด ุจูŠุณุงูˆูŠ ูˆุงุญุฏ
1095
+
1096
+ 317
1097
+ 00:28:10,020 --> 00:28:15,940
1098
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
1099
+
1100
+ 318
1101
+ 00:28:16,930 --> 00:28:20,370
1102
+ ุนู„ู‰ ุงู„ู€ second ุชุฑุจูŠุนุŒ ุทูŠุจ ุงู„ู€ poundุŒ ู…ุงุดูŠุŒ ุงุญู†ุง ู„ู…ุง
1103
+
1104
+ 319
1105
+ 00:28:20,370 --> 00:28:26,110
1106
+ ุนุฑูู†ุง ุงู„ู€ standard ุจุชุนู…ู„ ู…ุงุดูŠุŒ ู…ุด ุจุงู„ุณูˆุงุก ุงูŠู‡ one
1107
+
1108
+ 320
1109
+ 00:28:26,110 --> 00:28:31,050
1110
+ poundุŒ ู…ุงุดูŠุŒ ู…ุด ุจุงู„ุณูˆุงุก point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ
1111
+
1112
+ 321
1113
+ 00:28:31,050 --> 00:28:40,210
1114
+ ุจุณุงูˆูŠ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ ุฎู…ุณุฉ ุชุณุนุฉ ุงุชู†ูŠู†
1115
+
1116
+ 322
1117
+ 00:28:40,210 --> 00:28:43,610
1118
+ ุชู„ุงุชุฉ ุณุจุนุฉ
1119
+
1120
+ 323
1121
+ 00:28:47,880 --> 00:28:59,200
1122
+ ูƒูŠู„ูˆุฌุฑุงู…ุŒ ุตุญุŒ ููŠู‡ ุงุชู†ูŠู† ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ุงู„ู‚ุฏู…
1123
+
1124
+ 324
1125
+ 00:28:59,200 --> 00:29:04,980
1126
+ ูƒู… ู…ุชุฑุŒ ุงู„ู‚ุฏู… ุงู„ู€
1127
+
1128
+ 325
1129
+ 00:29:04,980 --> 00:29:12,220
1130
+ ู…ุชุฑุŒ one meter ุจุณุงูˆูŠ
1131
+
1132
+ 326
1133
+ 00:29:12,220 --> 00:29:15,760
1134
+ ุฃูˆ one ู‚ุฏู…ุŒ one foot
1135
+
1136
+ 327
1137
+ 00:29:19,170 --> 00:29:26,830
1138
+ ุจุณุงูˆูŠ point ุชู„ุงุชุฉ zero four seven four eight ู…ุชุฑ
1139
+
1140
+ 328
1141
+ 00:29:26,830 --> 00:29:35,010
1142
+ ุตุญุŒ ูŠุนู†ูŠ ุนู†ุฏูŠ ู‚ุฏู… ู‡ู†ุง ููŠ point
1143
+
1144
+ 329
1145
+ 00:29:35,010 --> 00:29:40,630
1146
+ ุชู„ุงุชุฉ zero four ุซู…ุงู†ูŠุฉ ู…ุชุฑ per second squareุŒ ูŠุนู†ูŠ
1147
+
1148
+ 330
1149
+ 00:29:40,630 --> 00:29:46,010
1150
+ ุญูŠุซ ุจุณุงูˆูŠุŒ ุงุถุฑุจู‡ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉุŒ ุงุถุฑุจ ุงู„ุฑู‚ู…
1151
+
1152
+ 331
1153
+ 00:29:46,010 --> 00:29:49,950
1154
+ ู‡ุฐุง 32.17x0.3048
1155
+
1156
+ 332
1157
+ 00:30:16,160 --> 00:30:23,800
1158
+ ุฃุฑุจุนุฉ point ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ุณุจุนุฉ ูƒูŠู„ูˆุฌุฑุงู… ููŠ ู…ุชุฑ ุนู„ู‰
1159
+
1160
+ 333
1161
+ 00:30:23,800 --> 00:30:29,760
1162
+ second squareุŒ ู‡ุฐุง ุงูŠุด ู‡ุฐุงุŸ ู†ูŠูˆุชู†ุŒ ุฃุฑุจุนุฉ point ุฃุฑุจุนุฉ
1163
+
1164
+ 334
1165
+ 00:30:29,760 --> 00:30:35,880
1166
+ ุฃุฑุจุนุฉ ุณุจุนุฉ ู†ูŠูˆุชู†ุŒ ูุงุญู†ุง ู†ุฌูŠุจ ุชุญูˆูŠู„ ุจูŠู† pound force
1167
+
1168
+ 335
1169
+ 00:30:35,880 --> 00:30:40,080
1170
+ ูˆ ู†ูŠูˆุชู†ุŒ ุดูˆู example ุซุงู†ูŠ
1171
+
1172
+ 336
1173
+ 00:30:47,510 --> 00:30:55,730
1174
+ water of density ฯุŒ ุนู†ุฏ ู…ูŠุฉ ูƒุซุงูุฉ ุฑูˆ
1175
+
1176
+ 337
1177
+ 00:30:55,730 --> 00:31:04,770
1178
+ and dynamic viscosity ู…ูŠูˆุŒ flows
1179
+
1180
+ 338
1181
+ 00:31:04,770 --> 00:31:08,930
1182
+ with velocity v through a pipeุŒ ู…ุงุดูŠ ููŠ ุงู†ุจูˆุจ ุจุณุฑุนุฉ
1183
+
1184
+ 339
1185
+ 00:31:08,930 --> 00:31:09,570
1186
+ ู…ุนูŠู†ุฉ
1187
+
1188
+ 340
1189
+ 00:31:14,200 --> 00:31:19,340
1190
+ of diameterุŒ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ู€ pipeุŒ ู„ู‡ุง ู‚ุทุฑ ู…ุนูŠู† ู‡ู†ูƒุชุจ
1191
+
1192
+ 341
1193
+ 00:31:19,340 --> 00:31:23,720
1194
+ ุจุนุฏ ุดูˆูŠุฉุŒ calculate Reynolds numberุŒ ู‡ุชุฏุฑุณู‡ ููŠ
1195
+
1196
+ 342
1197
+ 00:31:23,720 --> 00:31:29,080
1198
+ fluid mechanicsุŒ from the data supplied using the
1199
+
1200
+ 343
1201
+ 00:31:29,080 --> 00:31:35,660
1202
+ English engineering system of unitsุŒ ูˆู…ุงุฑุญ ุฃุณุชุฎุฏู… ุงู„ู€
1203
+
1204
+ 344
1205
+ 00:31:35,660 --> 00:31:46,570
1206
+ SI unitsุŒ ุทุจุนุงู‹ ุงู„ุฑู…ุฒ ู„ู†ุธุฑ ู…ุนุฑูุŒ ุฑูˆ VD
1207
+
1208
+ 345
1209
+ 00:31:46,570 --> 00:31:56,250
1210
+ ุนู„ู‰ ู…ูŠูˆ ุฏูŠ ุฏูŠ
1211
+
1212
+ 346
1213
+ 00:31:56,250 --> 00:31:57,370
1214
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1215
+
1216
+ 347
1217
+ 00:31:57,370 --> 00:31:57,430
1218
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1219
+
1220
+ 348
1221
+ 00:31:57,430 --> 00:31:58,570
1222
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1223
+
1224
+ 349
1225
+ 00:31:58,570 --> 00:31:58,590
1226
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1227
+
1228
+ 350
1229
+ 00:32:10,130 --> 00:32:16,330
1230
+ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ู…ูƒุนุจุŒ ุงู„ู€ dynamic viscosity
1231
+
1232
+ 351
1233
+ 00:32:16,330 --> 00:32:22,510
1234
+ ุงู„ู„ูŠ ุฎุงุตุฉ ุจุงู„ู…ุงูŠุฉ ููŠ ุงู„ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉุŒ one point two
1235
+
1236
+ 352
1237
+ 00:32:22,510 --> 00:32:33,870
1238
+ meter per secondุŒ ุจุงู„ู€ English unit ุงู‡
1239
+
1240
+ 353
1241
+ 00:32:33,870 --> 00:32:34,850
1242
+ ู‡ุฐู‡ ุงู„ุณุฑุนุฉุŒ ุตุญูŠุญ
1243
+
1244
+ 354
1245
+ 00:32:37,800 --> 00:32:42,160
1246
+ ู…ุนุงู…ู„ ุงู„ุณุฑุนุฉ one point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per
1247
+
1248
+ 355
1249
+ 00:32:42,160 --> 00:32:50,000
1250
+ second ู‡ูŠ ุฃุฑุจุนุฉ ู‚ุฏู… per secondุŒ ุงู„ู€ dynamic
1251
+
1252
+ 356
1253
+ 00:32:50,000 --> 00:32:53,720
1254
+ viscosity ููŠ
1255
+
1256
+ 357
1257
+ 00:32:53,720 --> 00:32:58,100
1258
+ ุงู„ู€ .. ููŠ ุงู„ู€ metric ูŠุนู†ูŠ ุงุชู†ูŠู† ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ
1259
+
1260
+ 358
1261
+ 00:32:58,100 --> 00:33:03,280
1262
+ ุนุดุฑ ุฃุณ ู†ุงู‚ุต ุฃุฑุจุนุฉุŒ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ุนุดุฑ ุฃุณ
1263
+
1264
+ 359
1265
+ 00:33:03,280 --> 00:33:08,640
1266
+ ู†ุงู‚ุต ุฃุฑุจุนุฉุŒ ุงู„ู†ูŠูˆุชู† ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ squareุŒ ุงู„ู†ูŠูˆุชู†
1267
+
1268
+ 360
1269
+ 00:33:08,640 --> 00:33:14,100
1270
+ ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ squareุŒ ูˆููŠ ุงู„ู€ English unit ุงู„ู„ูŠ ู‡ูŠ
1271
+
1272
+ 361
1273
+ 00:33:14,100 --> 00:33:22,740
1274
+ ุงุชู†ูŠู† point ุฃูˆ ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุฃุณ ุณุงู„ุจ ุฎู…ุณุฉ pound
1275
+
1276
+ 362
1277
+ 00:33:22,740 --> 00:33:31,400
1278
+ force second ุนู„ู‰ ู‚ุฏู… ู…ุฑุจุนุŒ ูˆุงู„ู‚ุทุฑ ุงู„ู…ุนุทู‰ ู‡ูˆ point
1279
+
1280
+ 363
1281
+ 00:33:31,400 --> 00:33:40,050
1282
+ ุงุชู†ูŠู† ุตูุฑ ุชู„ุงุชุฉ ู…ุชุฑุŒ ุชู…ุงู†ูŠุฉ ุงู†ุดุŒ ุชู…ุงู†ูŠุฉ ุงู†ุด
1283
+
1284
+ 364
1285
+ 00:33:40,050 --> 00:33:44,870
1286
+ ุจุญูˆุงู„ูŠ ุงู„ู‚ุฏู…ุŒ ุตุญุŒ ุชู…ุงู†ูŠุฉ ุงู†ุด ุจุงู„ู‚ุฏู…ุŒ ุฃู†ุง ุนุงุฑู
1287
+
1288
+ 365
1289
+ 00:33:44,870 --> 00:33:51,770
1290
+ ุชู…ุงู†ูŠุฉ ุงู†ุด ุจุงู„ู‚ุฏู…ุŒ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุซู†ุง ุนุดุฑ ู‚ุฏู…ุŒ ู‡ุฐู‡
1291
+
1292
+ 366
1293
+ 00:33:51,770 --> 00:34:00,130
1294
+ ุงู†ุดุŒ ู„ูˆ ุฏูŠ ูˆุญุฏุงุช ู…ุชุฑูŠุฉุŒ ุฑูˆ ู‡ุงูŠ ุฑูˆ ุชุณุนู…ูŠุฉุŒ ุจุฏุฃุช
1295
+
1296
+ 367
1297
+ 00:34:00,130 --> 00:34:04,590
1298
+ ุงู„ูˆุญุฏุฉ ุชุณุนู…ูŠุฉ ูˆ ุซู…ุงู†ูŠุฉ ูˆ ุชุณุนูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ
1299
+
1300
+ 368
1301
+ 00:34:04,590 --> 00:34:12,630
1302
+ ู…ูƒุนุจุŒ ููŠ V one point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per second
1303
+
1304
+ 369
1305
+ 00:34:12,630 --> 00:34:24,210
1306
+ ููŠ ุงู„ู‚ุทุฑ D point ุงุชู†ูŠู† ุตูุฑ ุชู„ุงุชุฉ ู…ุชุฑุŒ ุนู„ู‰ ุงู„ู€ Mew
1307
+
1308
+ 370
1309
+ 00:34:24,210 --> 00:34:34,370
1310
+ ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ููŠ ุนุดุฑุฉ ุฃุณ ุณุงู„ุจ ุฃุฑุจุนุฉ in
1311
+
1312
+ 371
1313
+ 00:34:34,370 --> 00:34:38,810
1314
+ NewtonุŒ ุฎู„ู‘ูŠู†ูŠ ุฃุญุทู‘ ุงู„ู†ุชูŠุฌุฉุŒ ุฃูƒุชุจู‡ุง ุฃุญูˆู‘ู„ู‡ุง kilogram
1315
+
1316
+ 372
1317
+ 00:34:38,810 --> 00:34:47,470
1318
+ kilogram ู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุนุŒ ููŠ second ุนู„ู‰ ู…ุชุฑ
1319
+
1320
+ 373
1321
+ 00:34:47,470 --> 00:34:53,090
1322
+ ุชุฑุจูŠุนุŒ ู…ุงุดูŠุŒ ุงู„ุขู†
1323
+
1324
+ 374
1325
+ 00:34:53,090 --> 00:34:55,810
1326
+ ู…ุถุฑุจุŒ ุงุญู†ุง ู…ุด ู…ุดูƒู„ุฉ ุงู„ุถุฑุจุŒ ุจุณ ุฎู„ู‘ูŠู†ูŠ ุฃุดูˆู ุงู„ูˆุญุฏุงุช
1327
+
1328
+ 375
1329
+ 00:34:55,810 --> 00:35:03,630
1330
+ ุนู†ุฏูŠ ู‡ุงูŠ kilogramุŒ ู‡ุงูŠ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุง
1331
+
1332
+ 376
1333
+ 00:35:03,630 --> 00:35:10,160
1334
+ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุงุŒ ุนู†ุฏูŠ ู…ุชุฑุŒ ุฎู„ู‘ูŠู†ูŠ ุฃุฑูˆุญ ู…ุน ุงู„ู…ุชุฑ
1335
+
1336
+ 377
1337
+ 00:35:10,160 --> 00:35:17,980
1338
+ ู‡ุฐู‡ุŒ ู…ุงุดูŠุŒ ูˆู‡ุฐู‡ ู…ุชุฑ ุชู‚ุฑูŠุจุงู‹ ู…ุชุฑุŒ ููŠู‡ุง ู…ุน ู…ุชุฑุŒ ู‡ุงูŠ ูˆุงุญุฏุฉ
1339
+
1340
+ 378
1341
+ 00:35:17,980 --> 00:35:24,700
1342
+ ุงุชู†ุชูŠู† ุชู„ุงุชุฉ ุฑุงุญูˆุงุŒ ูˆ ุงู„ู€ second ู‡ุงูŠ second ู…ุน second
1343
+
1344
+ 379
1345
+ 00:35:24,700 --> 00:35:30,560
1346
+ ูˆู‡ูŠ second ู…ุน secondุŒ ู…ุนู†ุงู‡ unit lessุŒ unit less
1347
+
1348
+ 380
1349
+ 00:35:30,560 --> 00:35:39,100
1350
+ ู…ุงููŠุด dimensionุŒ ู„ุณู‡ ุฏู‡ุŒ ู…ุงููŠุด ู…ุซู„ ู„ุฃุŒ ู…ุงููŠุด ู…ุซู„ ู„ุฃุŒ ู„ุฃ
1351
+
1352
+ 381
1353
+ 00:35:39,100 --> 00:35:43,900
1354
+ ู„ุฃุŒ ุฃุชุฃูƒุฏุŒ ู…ุงููŠุด ู…ุซู„ ู„ุฃุŒ ู„ุฃุŒ ุฃุชุฃูƒุฏุŒ ุงูŠ ูุงุฏุฑ ู…ุงููŠุด ู…ุซู„
1355
+
1356
+ 382
1357
+ 00:35:43,900 --> 00:35:52,320
1358
+ ู„ุฃุŒ ูุงู‚ุถูˆุง ุจุงู„ุฑู‚ู…ุŒ ุดูˆููˆุง ุงูŠุด ุจูŠุทู„ุน ู…ุนุงูƒู…ุŒ 2551599
1359
+
1360
+ 383
1361
+ 00:35:52,320 --> 00:35:56,120
1362
+ 2551599
1363
+
1364
+ 384
1365
+ 00:35:56,120 --> 00:36:02,620
1366
+ ูˆุฅู† ุณุช ุฃุฑุจุนุฉุŒ ูˆุฅู† ุณุช ุฃุฑุจุนุฉุŒ ุทูŠุจ ุฎู„ูŠู†ุง ู†ุญุณุจ ู…ู† ู†ุธุงู…
1367
+
1368
+ 385
1369
+ 00:36:02,620 --> 00:36:10,410
1370
+ ุฅุญุฏุงุซูŠ ุฅู†ุฌู„ูŠุฒูŠุฉุŒ ูˆู‡ุชู„ุงู‚ูŠ Zero ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† ูˆุณุชูŠู† point
1371
+
1372
+ 386
1373
+ 00:36:10,410 --> 00:36:20,290
1374
+ ุชู„ุงุชุฉ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ุชูƒุนูŠุจุŒ ุตุญุŒ ููŠ ุงู„ู€ V ุงู„ู„ูŠ
1375
+
1376
+ 387
1377
+ 00:36:20,290 --> 00:36:28,970
1378
+ ู‡ูŠ ุฃุฑุจุนุฉ ู‚ุฏู… ูƒู„ secondุŒ ููŠ ุงู„ู€ D ุงู„ู„ูŠ ู‡ูŠ ุชู…ุงู†ูŠุฉ ุนู„ู‰
1379
+
1380
+ 388
1381
+ 00:36:28,970 --> 00:36:33,550
1382
+ ุงุซู†ุง ุนุดุฑ ู‚ุฏู… ุนู„ู‰
1383
+
1384
+ 389
1385
+ 00:36:36,080 --> 00:36:44,580
1386
+ ู…ูŠูˆุŒ ุงุชู†ูŠู† point ุตูุฑ ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุฃุณ ุงู„ุณุงู„ุจ ุฎู…ุณุฉ
1387
+
1388
+ 390
1389
+ 00:36:44,580 --> 00:36:51,480
1390
+ pound forceุŒ ุจุฏูŠ ุฃุญุทู‡ุง ูƒู€ pound massุŒ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ููŠ
1391
+
1392
+ 391
1393
+ 00:36:51,480 --> 00:36:59,000
1394
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ pound mass ููŠ ู‚ุฏู…
1395
+
1396
+ 392
1397
+ 00:36:59,000 --> 00:37:01,240
1398
+ ุนู„ู‰ second ุชุฑุจูŠุน
1399
+
1400
+ 393
1401
+ 00:37:04,180 --> 00:37:10,180
1402
+ ุนูˆุถ ุนู„ู‰ ุงู„ู€ pound force ููŠ second ุนู„ู‰
1403
+
1404
+ 394
1405
+ 00:37:10,180 --> 00:37:15,980
1406
+ ู‚ุฏู… ุชุฑุจูŠุนุŒ ุทูŠุจ
1407
+
1408
+ 395
1409
+ 00:37:15,980 --> 00:37:21,620
1410
+ ู‡ุงูŠ
1411
+
1412
+ 396
1413
+ 00:37:21,620 --> 00:37:26,320
1414
+ pound mass ุฑุงุญุชุŒ ู‡ุงูŠ
1415
+
1416
+ 397
1417
+ 00:37:26,320 --> 00:37:31,820
1418
+ foot ุฑุงุญุช ู…ู† ู‡ู†ุง ูˆ ุฑุงุญุช ู…ู† ู‡ู†ุงุŒ ู…ุงุดูŠุŒ ู‡ุงูŠ ูˆุงุญุฏุฉ ู…ู†
1419
+
1420
+ 398
1421
+ 00:37:31,820 --> 00:37:39,110
1422
+ ู‡ู†ุง ุฑุงุญุช ุงู„ุชูƒุนูŠุจุŒ ู‡ุงูŠ foot ู‡ูŠู† ุฑุงุญ ู…ุน foot ู‡ูŠู†ุŒ ุนู†ุฏูŠ
1423
+
1424
+ 399
1425
+ 00:37:39,110 --> 00:37:45,090
1426
+ ู‡ูŠู†ุŒ ู‡ุงูŠ second ุฑุงุญุช ู…ุน secondุŒ ูˆู‡ุงูŠ second ุชุญุช
1427
+
1428
+ 400
1429
+ 00:37:45,090 --> 00:37:52,790
1430
+ ุฑุงุญุช ู…ุน secondุŒ ู‡ูŠู† ุงุถุฑุจ ุงู„ุฑู‚ู…ุŒ ุทู„ุน ู†ูุณ
1431
+
1432
+ 401
1433
+ 00:37:52,79
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/Pw2ftJRfVTg_postprocess.srt ADDED
@@ -0,0 +1,1672 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,230 --> 00:00:07,630
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,630 --> 00:00:10,650
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ู…ุงุฏุฉ ุงู„ measurement ุงู„ู„ูŠ ู‡ูˆ
8
+
9
+ 3
10
+ 00:00:10,650 --> 00:00:14,350
11
+ chapter two standards and dimensional units of
12
+
13
+ 4
14
+ 00:00:14,350 --> 00:00:20,090
15
+ measurement ู†ุณุชุฑุฌุน
16
+
17
+ 5
18
+ 00:00:20,090 --> 00:00:24,110
19
+ ุจุนุถ ุงู„ุฃู…ูˆุฑ ุฏุฑุณู†ุงู‡ุง ููŠ chapter one ุงู„ู„ูŠ ู‡ูŠ ุงู„ basis
20
+
21
+ 6
22
+ 00:00:24,110 --> 00:00:27,450
23
+ of measurement ุฃุณุงุณ ุงู„ู‚ูŠุงุณ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู†
24
+
25
+ 7
26
+ 00:00:27,450 --> 00:00:33,390
27
+ ูƒู…ูŠุฉ ูŠุฑุงุฏ ู‚ูŠุงุณู‡ุงูˆู…ุนูŠุงุฑ standard ุจุณู…ุน ุญูƒูŠู†ุง ุงู„ุทูˆู„
28
+
29
+ 8
30
+ 00:00:33,390 --> 00:00:40,650
31
+ ุนุดุงู† ุงู‚ูŠุณ ุทูˆู„ ู‚ุทุนุฉ ุฎุดุจูŠุฉ ุจู‚ุงุฑู† ุงู„ู‚ุทุนุฉ ู…ุน standard
32
+
33
+ 9
34
+ 00:00:40,650 --> 00:00:45,570
35
+ ู…ุชุฑ caliber micrometer ูููŠ ุงู„ุขุฎุฑ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุนู…ู„ูŠุฉ
36
+
37
+ 10
38
+ 00:00:45,570 --> 00:00:49,810
39
+ ู…ู‚ุงุฑู†ุฉ ุญูƒูŠู†ุง ู‚ุฏ ุชูƒูˆู† ุงู„ู…ู‚ุงุฑู†ุฉ ู…ุจุงุดุฑุฉ ุงูˆ ุบูŠุฑ ู…ุจุงุดุฑุฉ
40
+
41
+ 11
42
+ 00:00:49,810 --> 00:00:54,360
43
+ ู…ุด ู‡ู†ุฎุด ููŠ ุงู„ุชูุงุตูŠู„ ุงู„ู„ูŠ ุฑุฌุนูˆู„ู‡ุงู„ุฃู† we want to
44
+
45
+ 12
46
+ 00:00:54,360 --> 00:00:58,720
47
+ define dimension and dimensional unit ุงู„ dimension
48
+
49
+ 13
50
+ 00:00:58,720 --> 00:01:03,480
51
+ ู‡ูˆ defining characteristics of an entity ูŠุนู†ูŠ ุงู„
52
+
53
+ 14
54
+ 00:01:03,480 --> 00:01:13,220
55
+ length ุงู„ุทูˆู„ is a dimension ุงู„ meter ู‡ูŠ unit ุงูˆ
56
+
57
+ 15
58
+ 00:01:13,220 --> 00:01:15,220
59
+ dimensional unit ู‡ูŠ ุงู„ unit ุจุชุงุนุฉ ุงู„ length ู‡ูŠ
60
+
61
+ 16
62
+ 00:01:15,220 --> 00:01:21,320
63
+ ูˆุงุญุฏุฉ ุงูŠุดุŸ ู‚ูŠุงุณ ุงู„ุทูˆู„ูุนู†ุฏู†ุง ุงู„ dimension ุงู„ู„ูŠ ู‡ูˆ
64
+
65
+ 17
66
+ 00:01:21,320 --> 00:01:24,360
67
+ ุงู„ length ุนู†ุฏูŠ ุงู„ dimension in let ุงู„ู„ูŠ ู‡ูŠ basis
68
+
69
+ 18
70
+ 00:01:24,360 --> 00:01:29,160
71
+ for quantification of the entity ูŠุนู†ูŠ ุฃู†ุง ุจุฃูˆุตู
72
+
73
+ 19
74
+ 00:01:29,160 --> 00:01:32,340
75
+ ุงู„ุทูˆู„ ุจุดูƒู„ ูƒู… ู…ู† ุฎู„ุงู„ ุงู„ู…ุชุฑ ู…ู† ุฎู„ุงู„ ุงู„ู‚ุฏู… ู…ู† ุฎู„ุงู„
76
+
77
+ 20
78
+ 00:01:32,340 --> 00:01:38,160
79
+ ุงู„ุงู†ุด ู…ู† ุฎู„ุงู„ ุงู„ู…ูŠ ู…ู† ุฎู„ุงู„ ุงู„ kilometer ู ุงู„ time
80
+
81
+ 21
82
+ 00:01:38,160 --> 00:01:47,090
83
+ is a dimension time is a dimension ุงู„ secondis
84
+
85
+ 22
86
+ 00:01:47,090 --> 00:01:52,290
87
+ dimensionally is the unit of time ุงู„ second ูˆุญุฏุฉ
88
+
89
+ 23
90
+ 00:01:52,290 --> 00:02:00,870
91
+ ู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฒู…ู† a dimension is unique however
92
+
93
+ 24
94
+ 00:02:00,870 --> 00:02:05,430
95
+ a particular dimension say length may be measured
96
+
97
+ 25
98
+ 00:02:05,430 --> 00:02:08,290
99
+ in various units such as feet meters inches or
100
+
101
+ 26
102
+ 00:02:08,290 --> 00:02:13,490
103
+ miles ุงู„ dimension ุงู„ูˆุงุญุฏ ุงู„ุทูˆู„ ุฎู„ุงุต ุงู„ุทูˆู„ ุทูˆู„ ู„ูƒู†
104
+
105
+ 27
106
+ 00:02:13,490 --> 00:02:17,720
107
+ ุงู„ุทูˆู„ ู…ู…ูƒู† ูŠู‚ุงุณุจุฃูƒุชุฑ ู…ู† ูˆุงุญุฏุฉ ู…ู…ูƒู† ู†ู‚ุงุณ ุจูˆุงุญุฏุฉ
108
+
109
+ 28
110
+ 00:02:17,720 --> 00:02:22,800
111
+ ุงู„ู…ุชุฑ ุงู„ู‚ุฏู… ุงู„ู…ูŠู„ ุงู„ kilometer ุฃูˆ ุงู„ inch ุฃูˆ ุฃูŠ
112
+
113
+ 29
114
+ 00:02:22,800 --> 00:02:26,340
115
+ ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ
116
+
117
+ 30
118
+ 00:02:26,340 --> 00:02:31,260
119
+ systems of units must be established and agreed to
120
+
121
+ 31
122
+ 00:02:31,260 --> 00:02:39,150
123
+ ู„ุงุฒู… ูŠู†ุญุท ู†ุธุงู… ู„ู„ูˆุญุฏุงุชู…ูˆุญุฏ ูˆู…ุชูู‚ ุนู„ูŠู‡ ู…ู‡ู†ุฉ ุงู„
124
+
125
+ 32
126
+ 00:02:39,150 --> 00:02:43,550
127
+ systems must be standardized ู„ุงุฒู… ุชูƒูˆู† ู…ุนูŠุงุฑูŠุฉ
128
+
129
+ 33
130
+ 00:02:43,550 --> 00:02:48,210
131
+ ู…ุชูู‚ ุนู„ูŠู‡ุง ุฏูˆู„ูŠุง ู…ุงูŠู†ูุนุด ุฃุญูƒูŠ ุงู„ู…ุชุฑ ููŠ ุงู„ุตูŠู† ูŠูƒูˆู†
132
+
133
+ 34
134
+ 00:02:48,210 --> 00:02:52,870
135
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ุจุฑูŠุทุงู†ูŠุง ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู†ุงุจู„ุณ
136
+
137
+ 35
138
+ 00:02:52,870 --> 00:02:59,130
139
+ ู…ุฎุชู„ู ุนู† ุงู„ู…ุชุฑ ููŠ ู…ุตุฑ ุงู„ู…ุชุฑ ู…ุชุฑ ูˆุงู†ู…ุง ูƒุงู† because
140
+
141
+ 36
142
+ 00:02:59,130 --> 00:03:02,130
143
+ there are various systems ู„ุฃู† ููŠ ุนุฏูŠุฏ ู…ู† ุงู„ุฃู†ุธู…ุฉ
144
+
145
+ 37
146
+ 00:03:03,720 --> 00:03:07,700
147
+ there must be an agreement on the basis of
148
+
149
+ 38
150
+ 00:03:07,700 --> 00:03:11,100
151
+ conversion from system to system ู„ุฃู† ููŠ ุนู†ุฏู‰ ู†ุธุงู…
152
+
153
+ 39
154
+ 00:03:11,100 --> 00:03:16,700
155
+ .. ููŠ ุนู†ุฏู‰ inch ุฏู‡ ููŠ ุงู†ุฌู„ุณูŠุฉ ุนู†ุฏู‰ millimeter ู„ุงุฒู…
156
+
157
+ 40
158
+ 00:03:16,700 --> 00:03:19,960
159
+ ุจุฑุถู‡ ูŠุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ ุงู„ inch ุฃูƒู… millimeter ุงู„
160
+
161
+ 41
162
+ 00:03:19,960 --> 00:03:25,560
163
+ inch ุฃูƒู… millimeter ุงู„ู‚ุฏู… ุฃูƒู… ู…ุชุฑ ุฃูˆ ุงู„ meter ุฃูƒู…
164
+
165
+ 42
166
+ 00:03:25,560 --> 00:03:32,480
167
+ ู‚ุฏู… ุงู„ Kelvin ุฅูŠุด ุนู„ู‚ุชู‡ุง ุจุงู„ degrees ุณู„ุณู„ ูˆ ู‡ูƒุฐุง
168
+
169
+ 43
170
+ 00:03:34,970 --> 00:03:38,050
171
+ standards of measurement applied to units ุงู„ู„ูŠ ู‡ูˆ
172
+
173
+ 44
174
+ 00:03:38,050 --> 00:03:44,890
175
+ ู…ุนุงูŠูŠุฑ ุงู„ู‚ูŠุงุณุงุช ูŠุนู†ูŠ ูŠุทุจู‚ ุนู„ูŠู‡ุง ุงู„ูˆุญุฏุงุช to system
176
+
177
+ 45
178
+ 00:03:44,890 --> 00:03:48,930
179
+ of units ุฃู†ุธู…ุฉ ุงู„ูˆุญุฏุงุช and to unitary conversion
180
+
181
+ 46
182
+ 00:03:48,930 --> 00:03:51,550
183
+ between structures ูŠุนู†ูŠ ุฃู†ุธู…ุฉ ุงู„ู„ูŠ ู‡ูˆ ุงู„ standards
184
+
185
+ 47
186
+ 00:03:51,550 --> 00:03:54,830
187
+ of measurement ุจุงุณุชุฎุฏุงู… ููŠ ุงู„ูˆุญุฏุงุช ู†ูุณู‡ุง ููŠ ู†ุธุงู…
188
+
189
+ 48
190
+ 00:03:54,830 --> 00:03:58,710
191
+ ุงู„ูˆุญุฏุงุช ู†ูุณู‡ุง ููŠ ุงู„ุชุญูˆูŠู„ ู…ู† ู†ุธุงู… ูˆุญุฏุงุช ู„ู†ุธุงู… ูˆุญุฏุงุช
192
+
193
+ 49
194
+ 00:04:02,980 --> 00:04:07,240
195
+ ุงู„ base units in the SI system ุงู„ูˆุญุฏูŠุงุช ุงู„ุฃุณุงุณูŠุฉ
196
+
197
+ 50
198
+ 00:04:07,240 --> 00:04:14,800
199
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ุทูˆู„ ุงู„ู„ูŠ ู‡ูŠ meter ูˆ ุงู„ symbol ุจุชุงุนู‡ุง m
200
+
201
+ 51
202
+ 00:04:14,800 --> 00:04:21,220
203
+ ุนู†ุฏูŠ ูˆุญุฏุฉ ุงู„ูƒุชู„ุฉ ุงู„ู„ูŠ ู‡ูŠ kilogram ุงู„ dimension ุฅูŠุด
204
+
205
+ 52
206
+ 00:04:21,220 --> 00:04:28,140
207
+ ุงู„ dimension length ุงู„ unit of dimension meter ุงู„
208
+
209
+ 53
210
+ 00:04:28,140 --> 00:04:34,120
211
+ dimension is mass ุงู„ unit of massูƒู„ุฌุฑุงู… ุงู„
212
+
213
+ 54
214
+ 00:04:34,120 --> 00:04:39,300
215
+ dimension is time unit of second ุงู„ dimension
216
+
217
+ 55
218
+ 00:04:39,300 --> 00:04:44,080
219
+ electric current ุงู„ unit ุฃู…ุจูŠุฑ ุงู„ dimension is
220
+
221
+ 56
222
+ 00:04:44,080 --> 00:04:48,500
223
+ temperature ุงู„ unit is Kelvin ุงู„ dimension amount
224
+
225
+ 57
226
+ 00:04:48,500 --> 00:04:52,320
227
+ of substance ูŠุนู†ูŠ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง color ู„ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ
228
+
229
+ 58
230
+ 00:04:52,320 --> 00:04:57,760
231
+ mole ุงู„ dimension luminous ุงู„ intensity ุงู„ุฅุถุงุกุฉ
232
+
233
+ 59
234
+ 00:04:57,760 --> 00:05:07,300
235
+ ุงู„ูˆุญุฏุฉ ุจุชุงุนุชู‡ุง candelaุฃูˆ ูƒู†ุฏูŠู„ ุจุงู„ุนุฑุจูŠุฉ ุงู„ุงู† ููŠ
236
+
237
+ 60
238
+ 00:05:07,300 --> 00:05:13,680
239
+ units derived units ูู‰ ุนู†ุฏู‰ ุงู„ planning angle ุงู„
240
+
241
+ 61
242
+ 00:05:13,680 --> 00:05:18,140
243
+ radians ูู‰ ุนู†ุฏู‰ ุงู„ solid angle ุงู„ radian ูู‰ ุนู†ุฏู‰
244
+
245
+ 62
246
+ 00:05:18,140 --> 00:05:22,950
247
+ ุงู„ frequency hertzุงู„ู„ุญุธุฉ ุงู„ radian ู…ุชุฑ per ู…ุชุฑ ุงู„
248
+
249
+ 63
250
+ 00:05:22,950 --> 00:05:25,930
251
+ steradian ู…ุชุฑ square per ู…ุชุฑ square ุงู„ hertz one
252
+
253
+ 64
254
+ 00:05:25,930 --> 00:05:29,630
255
+ over second ุงู„ู†ูŠูˆุชู† ุนุจุงุฑุฉ ุนู† ุงู„ mass ููŠ ุงู„
256
+
257
+ 65
258
+ 00:05:29,630 --> 00:05:33,350
259
+ acceleration ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุชุฑ per second square ุนู†ุฏูŠ
260
+
261
+ 66
262
+ 00:05:33,350 --> 00:05:36,590
263
+ ุงู„ pressure ุจุงุณูƒุงู„ ุนุจุงุฑุฉ ุนู† ู†ูŠูˆุชู† ุนุงู„ู…ุชุฑ square
264
+
265
+ 67
266
+ 00:05:36,590 --> 00:05:40,070
267
+ ู„ุนูˆุงุทุฑ ู†ูŠูˆุชู† ูƒู…ุงู† ูƒูŠู„ูˆ ุฌุฑุงู… ู…ุชุฑ ู…ู…ูƒู† ุงุฑุฌุน ู„ูˆุญุฏุงุช
268
+
269
+ 68
270
+ 00:05:40,070 --> 00:05:45,730
271
+ ุงู„ุฃุณุงุณูŠุฉ ุนู†ุฏูŠ ุงู„ุฌูˆู„ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ููŠ
272
+
273
+ 69
274
+ 00:05:45,730 --> 00:05:47,830
275
+ ู…ุณุงูุฉ ุงู„ู†ูŠูˆุชู†
276
+
277
+ 70
278
+ 00:05:49,660 --> 00:05:53,980
279
+ ู…ุธุจูˆุทุŸ ุนู†ุฏูŠ ุงู„ .. ุงู„ what? energy per unit time,
280
+
281
+ 71
282
+ 00:05:54,140 --> 00:05:58,740
283
+ joule per second ุนู†ุฏูŠ ุงู„ .. ุงู„ .. ุงู„ charge ุงู„ู„ูŠ
284
+
285
+ 72
286
+ 00:05:58,740 --> 00:06:04,760
287
+ ู‡ูŠ ampere .. ุงู„ ampere second ุงูˆ ุงู„ ampere ู…ุง ู‡ูˆ
288
+
289
+ 73
290
+ 00:06:04,760 --> 00:06:08,640
291
+ charge per unit timeุŒ ุงู„ .. ุงู„ .. ุงู„ ampere ู…ุซู„
292
+
293
+ 74
294
+ 00:06:08,640 --> 00:06:12,730
295
+ ู‚ุฏูู‚ ู„ุดุญู†ุงุชู…ุนู†ุงู‡ ุชู‚ูˆู„ charge ุนู„ู‰ ุงู…ุจูŠุฑ ููŠ second
296
+
297
+ 75
298
+ 00:06:12,730 --> 00:06:19,970
299
+ ุงู„ volt watt ุนู„ู‰ ุงู…ุจูŠุฑ ุนู†ุฏ ุงู„ capacitance ุงู„ูุฑุงุฏ
300
+
301
+ 76
302
+ 00:06:19,970 --> 00:06:26,070
303
+ ุงู„ู„ูŠ ู‡ูŠ C ุนู„ู‰ ุงู„ charge per unit volume ุงู„ ohm ุงู„
304
+
305
+ 77
306
+ 00:06:26,070 --> 00:06:30,810
307
+ resistance volt ุนู„ู‰ ุงู…ุจูŠุฑ ุงู„ magnetic flux Weber
308
+
309
+ 78
310
+ 00:06:30,810 --> 00:06:36,590
311
+ volt ููŠ second ุงู„ magnetic flux density Tesla ูˆ
312
+
313
+ 79
314
+ 00:06:36,590 --> 00:06:41,370
315
+ ู‡ูƒุฐุงููŠ other derived units ุนู†ุฏ ุงู„ area ุนุจุงุฑุฉ ุนู†
316
+
317
+ 80
318
+ 00:06:41,370 --> 00:06:45,110
319
+ ู…ุชุฑ ุณูƒูˆูŠุฑ ุงู„ acceleration ู…ุชุฑ per second ุณูƒูˆูŠุฑ ุนู†ุฏ
320
+
321
+ 81
322
+ 00:06:45,110 --> 00:06:47,270
323
+ ุงู„ angle of acceleration ุฑุฏูŠุงู† per second ุณูƒูˆูŠุฑ
324
+
325
+ 82
326
+ 00:06:47,270 --> 00:06:50,390
327
+ angle of velocity ุฑุฏูŠุงู† per second density ูƒูŠู„ูˆ
328
+
329
+ 83
330
+ 00:06:50,390 --> 00:06:55,950
331
+ ุฌุฑุงู… per ู…ุชุฑ ูƒูŠูˆุจ ู…ุชุฑ ูƒูŠูˆุจ dynamic viscosity ุจุณูƒุงู„
332
+
333
+ 84
334
+ 00:06:55,950 --> 00:06:59,470
335
+ ููŠ second heat flux watt per meter square moment
336
+
337
+ 85
338
+ 00:06:59,470 --> 00:07:04,750
339
+ of force ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† ู‚ูˆุฉ ููŠ ุฏุฑุน 200 ู…ุชุฑ specific
340
+
341
+ 86
342
+ 00:07:04,750 --> 00:07:09,620
343
+ heat capacityjoule per kilogram per kelvin
344
+
345
+ 87
346
+ 00:07:09,620 --> 00:07:15,380
347
+ velocity meter per second volume meter ู…ูƒุนุจ ุงู„ุงู†
348
+
349
+ 88
350
+ 00:07:15,380 --> 00:07:24,900
351
+ ุงู„ radiant ุงุฐุง ุนู†ุฏูŠ ุฏุงุฆุฑุฉ ู†ุต
352
+
353
+ 89
354
+ 00:07:24,900 --> 00:07:30,620
355
+ ู‚ุทุฑู‡ุง R ูˆุงุฎุฏุช
356
+
357
+ 90
358
+ 00:07:30,620 --> 00:07:32,640
359
+ arc
360
+
361
+ 91
362
+ 00:07:38,760 --> 00:07:46,200
363
+ ุงู„ุงุฑูƒ ู‡ุฐุง ุทูˆู„ู‡ ุญุณุจ ุทูˆู„ู‡ ูƒู„ู‡ ูุฑุฏุชู‡ ุทูˆู„ ุจุทู„ุน R ู‡ุฐู‡
364
+
365
+ 92
366
+ 00:07:46,200 --> 00:07:54,500
367
+ ุงู„ุฒู…ู† ุงูŠุดุŸ ุซุชุง ุงู„ radian ู‡ุฐู‡ 2D ุซุชุง one radian so
368
+
369
+ 93
370
+ 00:07:54,500 --> 00:08:05,040
371
+ R ุนู„ู‰ R ู‡ุฐู‡ ูƒู„ู‡ุง ูƒู…ุŸ ุชู„ุช ุณุชูŠู† ูŠุนู†ูŠ ุงุชู†ูŠู† by ุตุญุŸ
372
+
373
+ 94
374
+ 00:08:05,040 --> 00:08:06,760
375
+ ุงุชู†ูŠู† by ู…ุนู†ุงุชู‡
376
+
377
+ 95
378
+ 00:08:09,530 --> 00:08:17,890
379
+ ุงู„ู…ุญูŠุท ุงุชู†ูŠู† by ุงุชู†ูŠู† by R ุนู„ู‰ ู†ุต ุงู„ู‚ุทุฑ ุจูŠุนุทูŠู†ูŠ ุฒูŠ
380
+
381
+ 96
382
+ 00:08:17,890 --> 00:08:27,630
383
+ ูƒู„ ูŠุนุฑุฉ R ุจูŠุนุทูŠู†ูŠ ุงุด ุงุชู†ูŠู† by ุงุชู†ูŠู† by ุนุดุงู† ุชุดูˆู
384
+
385
+ 97
386
+ 00:08:27,630 --> 00:08:36,440
387
+ ูˆุญุฏุฉ ุงู„ radian meter per meter ู…ุชุฑ ู„ูƒู„ ู…ุชุฑู‡ุฐุง ู‡ูˆ
388
+
389
+ 98
390
+ 00:08:36,440 --> 00:08:44,980
391
+ ุฃุณุงุณ ุงู„ radian ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช ุฏุงุฆุฑุฉ ูˆ ุฎุฏุช ู‚ูˆุณ
392
+
393
+ 99
394
+ 00:08:44,980 --> 00:08:48,340
395
+ ุทูˆู„ ุงู„ radian ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ๏ฟฝ๏ฟฝูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ูŠ one
396
+
397
+ 100
398
+ 00:08:48,340 --> 00:08:56,940
399
+ radian ู„ูˆ ุฃุฎุฏุช ุฏุงุฆุฑุฉ ู†ุต ู‚ุทุฑู‡ุง R ูˆ ุฎุฏุช ู‚ูˆุณ ุทูˆู„
400
+
401
+ 101
402
+ 00:08:56,940 --> 00:09:01,580
403
+ ุงู„ู‚ูˆุณ R ุงู„ุฒุงูˆูŠุฉ ุงู„ู„ูŠ ุจูŠู†ู‡ุง ุงู„ู‚ูˆุณ ู‡ุฐุง ู‡ูŠ one radian
404
+
405
+ 102
406
+ 00:09:01,580 --> 00:09:05,460
407
+ ูˆุงุถุญุŸ ู…ู† ุฃูŠู† ุฃุฌุช ุงู„ radianุŸ
408
+
409
+ 103
410
+ 00:09:08,090 --> 00:09:14,530
411
+ ุงู„ุณุชุฑูŠุฏูŠุงู† ู…ุฎุชู„ูุฉ ุดูˆูŠุฉ 3D ุงู„ุณุชุฑูŠุฏูŠุงู† ุนู†ุฏูŠ ูƒูˆุฑุฉ
412
+
413
+ 104
414
+ 00:09:14,530 --> 00:09:19,750
415
+ ูƒูˆุฑุฉ ูƒูˆุฑุฉ
416
+
417
+ 105
418
+ 00:09:19,750 --> 00:09:26,770
419
+ ูˆุฃุฎุฏุช
420
+
421
+ 106
422
+ 00:09:26,770 --> 00:09:34,970
423
+ radius
424
+
425
+ 107
426
+ 00:09:34,970 --> 00:09:41,760
427
+ ุนู„ู‰ ุงู„ูƒูˆุฑุฉ ู‡ุฐู‡R ุฃุฎุฏุช
428
+
429
+ 108
430
+ 00:09:41,760 --> 00:09:46,260
431
+ ุทุงู‚ูŠุฉ ูƒุฑุงูˆูŠุฉ ู…ุณุงุญุฉ
432
+
433
+ 109
434
+ 00:09:46,260 --> 00:09:54,580
435
+ ู‚ูŠู…ุชู‡ุง Rยฒ ุทุงู‚ูŠุฉ
436
+
437
+ 110
438
+ 00:09:54,580 --> 00:09:57,760
439
+ ูƒุฑุงูˆูŠุฉ
440
+
441
+ 111
442
+ 00:09:57,760 --> 00:10:01,200
443
+ ู…ุณุงุญุชู‡ุง
444
+
445
+ 112
446
+ 00:10:01,200 --> 00:10:05,940
447
+ Rยฒ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡
448
+
449
+ 113
450
+ 00:10:10,400 --> 00:10:16,120
451
+ ุงู„ู„ูŠ ุฌุงูŠุฉ ููŠ ุฃุณุทูˆุงู†ุฉ ุณุงู…ูŠู‡ุง omega ู„ .. ู„ .. ู„ ..
452
+
453
+ 114
454
+ 00:10:16,120 --> 00:10:21,480
455
+ ููŠ ูƒุฑุฉ ูƒุฑุฉ ู†ุต ูƒุชุฑู‡ุง R ูˆ ุจุงุฎุฏ spherical area
456
+
457
+ 115
458
+ 00:10:21,480 --> 00:10:28,360
459
+ spherical hat ุงู„ area ุจุชุงุนุชู‡ุง R square ู‡ุชูƒูˆู† ุนู†ุฏูŠ
460
+
461
+ 116
462
+ 00:10:28,360 --> 00:10:32,520
463
+ ุงู„ุงุณุชุฑุฏูŠู† ุงู„ู„ูŠ
464
+
465
+ 117
466
+ 00:10:32,520 --> 00:10:37,700
467
+ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ R square ุนู„ู‰ R square ุงู„ู„ูŠ
468
+
469
+ 118
470
+ 00:10:37,700 --> 00:10:44,800
471
+ ู‡ูŠ ูˆุงุญุฏ ุงุณุชุฑุฏูŠู†ู…ุนู†ู‰ ุงุณุชุฑูŠุฏูŠุง ู„ูˆ ุฃุฎุฏุช ู…ุณุงุญุฉ ู„ุฃู†
472
+
473
+ 119
474
+ 00:10:44,800 --> 00:10:53,940
475
+ ูƒูˆุฑุฉ ูˆ ู†ุณู‚ุทุฑู‡ุง R ูˆ ุฃุฎุฏุช ุทุงู‚ูŠุฉ ูƒุงุฑุงูˆูŠุฉ ู…ุณุงุญุชู‡ุง Rยฒ
476
+
477
+ 120
478
+ 00:10:53,940 --> 00:11:00,120
479
+ ุงู„ุงุณุชุฑูŠุฏูŠุง ู‡ูŠ ุงู„ ratio ุจูŠู† ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ Omega Rยฒ
480
+
481
+ 121
482
+ 00:11:00,120 --> 00:11:05,260
483
+ ุนู„ู‰ Rยฒ ู‡ุฐู‡ one ุงุณุชุฑูŠุฏูŠุง ุงู„ุงู† ู…ุณุงุญุฉ ุงู„ูƒูˆุฑุฉ ูƒู„ู‡ุง ูƒู…
484
+
485
+ 122
486
+ 00:11:05,260 --> 00:11:18,040
487
+ ุณุทุญูŠุฉ ุฃุฑุจุนุฉ by Rยฒุงุฑุจุน by R square ุนู„ู‰ R square
488
+
489
+ 123
490
+ 00:11:18,040 --> 00:11:21,180
491
+ ุงุฑุจุน
492
+
493
+ 124
494
+ 00:11:21,180 --> 00:11:29,640
495
+ by ู…ุนู†ุงุชู‡ ุงู„ูƒุฑุฉ ูƒุงู…ู„ุฉ ุนุจุงุฑุฉ ุนู† ุงุฑุจุน by ุงุณุชุฑูŠุฏูŠุง
496
+
497
+ 125
498
+ 00:11:29,640 --> 00:11:32,500
499
+ ุงุฑุจุน by ุงุณุชุฑูŠุฏูŠุง
500
+
501
+ 126
502
+ 00:11:34,240 --> 00:11:38,880
503
+ ุฃุฑุจุนุฉ ุจุงูŠ ุงุณุชุฑูŠุฏูŠุง ุนุดุงู†ูƒ ุจุชุดูˆููˆุง ุงู„ ุงุณุชุฑูŠุฏูŠุง ู…ุชุฑ
504
+
505
+ 127
506
+ 00:11:38,880 --> 00:11:44,500
507
+ square per meter square ุฒู‰
508
+
509
+ 128
510
+ 00:11:44,500 --> 00:11:49,560
511
+ ู…ุง ุญูƒู‰ ุฃู†ุง ุนู†ุฏูŠ ู‡ูŠู† ุงู„ ุงุณุชุฑูŠุฏูŠุง ุนู†ุฏูŠ ู‡ุงูŠ ูƒูˆุฑุฉ ุฃุฎุฏ
512
+
513
+ 129
514
+ 00:11:49,560 --> 00:11:55,980
515
+ ู†ุตู ูƒุชุฑ R ูˆ ุฃุฎุฏ area ู‚ูŠู…ุชู‡ุง Rุงู„ุณูƒูˆูŠุฑ ูˆู‡ุฐู‡ ู‡ูŠ
516
+
517
+ 130
518
+ 00:11:55,980 --> 00:12:02,540
519
+ ุงู„ุฒุงูˆูŠุฉ ู‡ุฐู‡ ู‡ูŠ one stradian ุทุจุนุง ุฒูŠ ู…ุง ุดูˆูุชูˆุง ููŠ
520
+
521
+ 131
522
+ 00:12:02,540 --> 00:12:05,640
523
+ ุงู„ููŠุฏูŠูˆ ู‡ู†ูˆุฑุฌูŠูƒูˆุง ุฅูŠุงู‡ ุงู„ stradian ุจุชููŠุฏ ุจุชุญุฏุฏ
524
+
525
+ 132
526
+ 00:12:05,640 --> 00:12:09,380
527
+ ู…ุซู„ุง ููŠ ู…ุฌุงู„ ุงู„ุฑุคูŠุฉ ุงู†ุง ุนู†ุฏู‡ ุงู†ุง ู„ู…ุง ุจู‚ุนุฏ ุทุงู‚ู… ุงู†ุง
528
+
529
+ 133
530
+ 00:12:09,380 --> 00:12:14,640
531
+ ุงุฏู… ุญูƒู‰ ู„ูƒ ุจุดูˆููƒ 200 ุฏุฑุฌุฉ ุฒูŠ ู‡ูŠูƒ ูˆ ุจุดูˆููƒ 130 ุฏุฑุฌุฉ
532
+
533
+ 134
534
+ 00:12:14,640 --> 00:12:19,220
535
+ ุญูƒู‰ ู„ูƒ ู‡ุงูŠ ุงู„ stradian ุชุจุนู‡ ู‡ุงูŠ ุงู„ stradian ุชุจุนู‡
536
+
537
+ 135
538
+ 00:12:21,570 --> 00:12:28,070
539
+ ูู‡ูŠ .. ูŠุนู†ูŠ ุฅุฒุงูŠ ู†ุญูƒูŠ .. ูŠุนู†ูŠ ู‡ูŠ .. ุฒูŠ ู…ุง ุฃุญูƒูŠ
540
+
541
+ 136
542
+ 00:12:28,070 --> 00:12:34,130
543
+ ู„ู„ุณุชุฑุฏ ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ area ุนู„ู‰ Rยฒ ู‡ูŠูƒูˆู† ุนู†ุฏูŠ Rยฒ ุนู„ู‰
544
+
545
+ 137
546
+ 00:12:34,130 --> 00:12:39,130
547
+ Rยฒ ูŠุนู†ูŠ ุชุจู‚ู‰ ูŠุนู†ูŠ one .. one steradian .. one
548
+
549
+ 138
550
+ 00:12:39,130 --> 00:12:47,430
551
+ steradian ุงู„ู„ูŠ ู‡ูˆ ุนู†ุฏูŠ ุงู„ multiplying factors ุณูˆุงุก
552
+
553
+ 139
554
+ 00:12:47,430 --> 00:12:54,280
555
+ ูƒุงู† ุจุงู„ุงุฑุชูุงุน ุฃูˆ ุจุงู„ุงู†ุฎูุงุถูŠุนู†ูŠ ุนุดุฑ ุนู‚ู„ ูˆุงุญุฏ ุฏูŠูƒุง
556
+
557
+ 140
558
+ 00:12:54,280 --> 00:13:00,660
559
+ ุฏูŠ ุงูŠู‡ุŸ ุนุดุฑ ุนู‚ู„ ุงุซู†ูŠู† ู‡ูƒุชูˆ ุนุดุฑ ุนู‚ู„ ุซู„ุงุซุฉ ูƒูŠู„ูˆ ุนู†ุฏูŠ
560
+
561
+ 141
562
+ 00:13:00,660 --> 00:13:06,060
563
+ kilometer ุนุดุฑ ุนู‚ู„ ุณุชุฉ ู…ูŠุฌุง ู…ูŠุฌุง ูˆุงุช ูŠุนู†ูŠ ู…ู„ูŠูˆู† ูˆุงุช
564
+
565
+ 142
566
+ 00:13:06,060 --> 00:13:14,230
567
+ ุนุดุฑ ุนู‚ู„ ุณุชุฉ ุฌูŠุฌุงุฌูŠุฌุง ูˆุงุช ู…ู„ูŠุงุฑ ูˆุงุช ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด
568
+
569
+ 143
570
+ 00:13:14,230 --> 00:13:19,110
571
+ ุชูŠุฑุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุฎู…ุณุชุงุด ุจูŠุชุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุงูƒุณุง
572
+
573
+ 144
574
+ 00:13:19,110 --> 00:13:22,130
575
+ ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ูˆุงุญุฏ ุนุดุฑูŠู† ุฒูŠุชุง ุนุดุฑุฉ ูˆ ุฃุชู†ุงุด ุงุฑุจุน
576
+
577
+ 145
578
+ 00:13:22,130 --> 00:13:29,950
579
+ ุนุดุฑูŠู† ูŠูˆุชุง ุงู„ุงู† ููŠ ุงู„ุนูƒุณ ุจุฏูŠ ุฃู†ุฒู„ ุงู„ DC DC ู…ุชุฑ
580
+
581
+ 146
582
+ 00:13:29,950 --> 00:13:35,090
583
+ ุนุดุฑุฉ ุณุงู†ุชูŠ ุงูˆ ุนุดุฑุฉ ู…ุชุฑ ุณุงู†ุชูŠ
584
+
585
+ 147
586
+ 00:13:36,260 --> 00:13:39,860
587
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุงุชู†ูŠู† ู…ู„ูŠ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุชู„ุงุชุฉ micro
588
+
589
+ 148
590
+ 00:13:39,860 --> 00:13:44,940
591
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุณุชุฉ nano ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุชุณุนุฉ pico ุนุดุฑุฉ
592
+
593
+ 149
594
+ 00:13:44,940 --> 00:13:49,520
595
+ ุฃุณ ู†ุงู‚ุต ุงุชู†ุงุด ูู…ุชูˆ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุฎู…ุณุชุงุด ุงุชูˆ ุนุดุฑุฉ ุฃุณ
596
+
597
+ 150
598
+ 00:13:49,520 --> 00:13:53,880
599
+ ู†ุงู‚ุต ุชู…ุงู†ุชุงุด ุฒุจุชูˆ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูŠูƒุชูˆ
600
+
601
+ 151
602
+ 00:13:53,880 --> 00:14:01,800
603
+ ุนุดุฑุฉ ุฃุณ ู†ุงู‚ุต ุงุฑุจุน ูˆุนุดุฑูŠู† ุงู„ุงู†
604
+
605
+ 152
606
+ 00:14:01,800 --> 00:14:08,930
607
+ ุงู„ standard of lengthุงู„ู…ูŠุชุฑ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุทูˆู„ ุงู„ู…ุณุงุฑ
608
+
609
+ 153
610
+ 00:14:08,930 --> 00:14:16,550
611
+ ุงู„ู„ู‰ ู‡ู…ุดูŠ ุถูˆุก ูู‰ ุงู„ูุฑุงุบ ูู‰ ุฎู„ุงู„ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุชู‚ุฏุฑ
612
+
613
+ 154
614
+ 00:14:16,550 --> 00:14:21,410
615
+ ูˆุงุญุฏ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ุงุฐุง ู…ุงุดูŠ ูู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ูˆุงุญุฏ
616
+
617
+ 155
618
+ 00:14:21,410 --> 00:14:27,810
619
+ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ูู‰
620
+
621
+ 156
622
+ 00:14:27,810 --> 00:14:32,350
623
+ ุงู„ูุฑุงุบ ู‡ู‰ ุงู„ู…ูŠุชุฑ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ูˆุงุญุฏุฉ ุนู„ู‰ ุณุฑุนุฉ
624
+
625
+ 157
626
+ 00:14:32,350 --> 00:14:37,740
627
+ ุงู„ุถูˆุก ูุณุฑุนุฉ ุงู„ุถูˆุก ุงุดุชุทู†ุงุดู…ุชุฑ ูˆุงุถุญุŸ ู„ุฃู† ุณุฑุนุฉ ุงู„ุถูˆุก
628
+
629
+ 158
630
+ 00:14:37,740 --> 00:14:41,980
631
+ ุฃูŠุดุŸ ู…ุชุฑ per second ูˆุงุญุฏ ุนู„ู‰ ู…ุชุฑ per second ูŠุนุทูŠู†ุง
632
+
633
+ 159
634
+ 00:14:41,980 --> 00:14:48,860
635
+ ุฃูŠุดุŸ second ูู‚ูˆู„ูˆุง ู„ูˆ ุณุฑุนุฉ ุงู„ุถูˆุก second ูŠุนู†ูŠ
636
+
637
+ 160
638
+ 00:14:48,860 --> 00:14:56,050
639
+ ุงู„ุณุฑุนุฉ ููŠ ุฒู…ุงู† ุงูŠุด ุจูŠุนุทูŠู†ุงู‡ุŸ ู…ุณุงูุฑุตุญ ูู…ู†ุนุชู‡ ุงู„
640
+
641
+ 161
642
+ 00:14:56,050 --> 00:14:59,030
643
+ meter ู‡ูˆ ุงู„ู…ุณุงูุฉ ุงู„ length of the path travelled
644
+
645
+ 162
646
+ 00:14:59,030 --> 00:15:02,750
647
+ by light in vacuum during a time interval ูŠุณุงูˆุฉ
648
+
649
+ 163
650
+ 00:15:02,750 --> 00:15:09,510
651
+ ูˆุงุญุฏุฉ ุนู„ู‰ ุณุฑุนุฉ ุงู„ุถูˆุก ุงู„ one inch ุจูŠุณุงูˆุฉ ุงุชู†ูŠู†
652
+
653
+ 164
654
+ 00:15:09,510 --> 00:15:16,770
655
+ point ุฎู…ุณุฉ ุงุฑุจุนุฉ centimeter ุงู„
656
+
657
+ 165
658
+ 00:15:16,770 --> 00:15:21,260
659
+ kilogrammass of the international prototype
660
+
661
+ 166
662
+ 00:15:21,260 --> 00:15:25,460
663
+ kilogram ููŠ ุนู†ุฏ ูƒุชู„ุฉ ู…ุญููˆุธุฉ ู…ู† ู…ุตู†ูˆุน ู…ู†
664
+
665
+ 167
666
+ 00:15:25,460 --> 00:15:28,100
667
+ ุงู„ุจู„ุงุชูŠู†ูŠูˆู… ูˆุงู„ุงุฑุงุฏูŠูˆู… ู…ุญููˆุธุฉ ููŠ ุงู„ international
668
+
669
+ 168
670
+ 00:15:28,100 --> 00:15:32,080
671
+ bureau of weights and measures ููŠ ูุฑู†ุณุง ู‡ุฐูŠ ุงู„
672
+
673
+ 169
674
+ 00:15:32,080 --> 00:15:35,660
675
+ kilogram one pound mass in seven point ุงุฑุจุน ุฎู…ุณ
676
+
677
+ 170
678
+ 00:15:35,660 --> 00:15:38,500
679
+ ุชู„ุงุชุฉ ุฎู…ุณ ุชุณุนุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุณุจุนุฉ kilogram ุงู„ second
680
+
681
+ 171
682
+ 00:15:46,920 --> 00:15:53,680
683
+ ุงู„ู€ duration of ุงู„ุงู† ู„ูˆ ุงุชุถุฑุช ุงู„ุณูŠุฒูŠูˆู… ุงู„ุณูŠุฒูŠูˆู…
684
+
685
+ 172
686
+ 00:15:53,680 --> 00:16:01,400
687
+ 133 ู…ุด ู‡ุงุฎุดู‡ ุงู„ุชูุงุตูŠู„ ู‡ุงูŠ ุงู„ู…ุถุงุฑุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ู‡ุงูŠ
688
+
689
+ 173
690
+ 00:16:01,400 --> 00:16:05,340
691
+ ุงู„ู…ุถุงุฑ ุงู„ุฃุฎุฑ ุงู„ู…ุถุงุฑ ุงู„ุฃุฎุฑ ููŠู‡ ุฅู„ูƒุชุฑูˆู† ุงู„ุฅู„ูƒุชุฑูˆู†
692
+
693
+ 174
694
+ 00:16:05,340 --> 00:16:09,060
695
+ ู‡ุฐุง ุจุงู„ุฐุงุช ุฏู‡ ุจู†ุชู‚ู„ ู‡ูŠูƒ ุจูŠู† ุงู„ู…ุถุงุฑ ู‡ุฐุง ูˆ ุงู„ู…ุถุงุฑ
696
+
697
+ 175
698
+ 00:16:09,060 --> 00:16:15,280
699
+ ู‡ุฐุง ุนู„ู‰ ุฃูŠ ุญุงุฌุฉ ุงู„ second
700
+
701
+ 176
702
+ 00:16:16,840 --> 00:16:22,640
703
+ ุงู„ู€ duration ู‡ูŠ ุงู„ูุชุฑุฉ ุงู„ุฒู…ู†ูŠุฉ ู„ุชุณุนุฉ ู…ู„ูŠูˆู† ูˆ ู…ูŠุฉ ูˆ
704
+
705
+ 177
706
+ 00:16:22,640 --> 00:16:24,140
707
+ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุงุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
708
+
709
+ 178
710
+ 00:16:24,140 --> 00:16:25,260
711
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
712
+
713
+ 179
714
+ 00:16:25,260 --> 00:16:25,740
715
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
716
+
717
+ 180
718
+ 00:16:25,740 --> 00:16:26,820
719
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
720
+
721
+ 181
722
+ 00:16:26,820 --> 00:16:29,220
723
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ
724
+
725
+ 182
726
+ 00:16:29,220 --> 00:16:31,140
727
+ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู†ูŠู† ูˆ ุฃุชู‡ุงุช ุงุชู†ูŠู† ุชู„ุงุชุฉ
728
+
729
+ 183
730
+ 00:16:31,140 --> 00:16:35,220
731
+ ุงุฑุจุนุฉ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุงู„ู„ูŠ ู‡ุชูˆุตู„ ุงู„ุชุนุฏุฏ
732
+
733
+ 184
734
+ 00:16:35,220 --> 00:16:38,760
735
+ ุฏูˆุฑุงุชู‡ุง ุฏูŠ ู‡ูˆ ู‡ุงุฏ ุงู„ุฒู…ุงู† ู‡ุงุฏ ุงู„ second ู‡ุงุฏ ุงู„ุชุนุฑูŠู
736
+
737
+ 185
738
+ 00:16:38,760 --> 00:16:42,200
739
+ ุงู„ second ุงู„ู„ูŠ ู‡ูˆ duration of nine million ู…ูŠุฉ
740
+
741
+ 186
742
+ 00:16:42,200 --> 00:16:44,300
743
+ ูˆุงุชู†ูŠู† ุณู†ุชูŠู† ุงู„ู ุณุชุฉ ูˆุงุญุฏุฉ ุชู„ุงุชูŠุฉ point ุณุจุนุฉ ู„ุณุจุนุฉ
744
+
745
+ 187
746
+ 00:16:44,300 --> 00:16:47,880
747
+ periods of the radiation corresponding to the
748
+
749
+ 188
750
+ 00:16:47,880 --> 00:16:50,900
751
+ transition between the two hyperfine levels of the
752
+
753
+ 189
754
+ 00:16:50,900 --> 00:16:54,540
755
+ ground state of the cesium 133 atom ู‡ุงุฏ ุฏุฑู‘ุช ุงูŠุด
756
+
757
+ 190
758
+ 00:16:54,540 --> 00:16:59,060
759
+ ุงู„ cesium ุงู„ electrode ุงู„ุฃุฎูŠุฑ ู‡ุงุฏ ุฏุจ ุฏุจ ุชุนุฏู„ู‡
760
+
761
+ 191
762
+ 00:17:00,240 --> 00:17:04,640
763
+ ุงู„ูุชุฑุฉ ุฒูŠ ู‡ุฐู‡ ู„ู„ุนุฏูŠ ุนุฏุฏ ุฏูˆุฑุงุช ู‡ุฐู‡ ู‡ูŠ ุงู„ one second
764
+
765
+ 192
766
+ 00:17:04,640 --> 00:17:11,820
767
+ ุงู„ temperature standard ุงู„ basic unit of
768
+
769
+ 193
770
+ 00:17:11,820 --> 00:17:17,460
771
+ temperature ุงู„ู„ูŠ ู‡ูŠ ุงู„ Kelvin ุงู„ู„ูŠ ุทุจุนุง ุฃูƒุชุฑ
772
+
773
+ 194
774
+ 00:17:17,460 --> 00:17:19,540
775
+ ุชุนู‚ูŠุฏุง ู…ุญุชุงุฌุฉ thermodynamics
776
+
777
+ 195
778
+ 00:17:23,250 --> 00:17:26,910
779
+ ุงู„ูƒู„ูู† ู‡ูŠ ูˆุงุญุฏ ุนู„ู‰ ู…ุชูŠู† ูˆ ุชู„ุงุช ุณุจุน point ูˆุงุญุฏ ..
780
+
781
+ 196
782
+ 00:17:26,910 --> 00:17:30,450
783
+ point one six of the thermodynamic temperature of
784
+
785
+ 197
786
+ 00:17:30,450 --> 00:17:35,690
787
+ the triple point of water triple point ู„ู„ู…ูŠู‡ ู‡ูŠ
788
+
789
+ 198
790
+ 00:17:35,690 --> 00:17:39,450
791
+ ุงู„ู†ู‚ุทุฉ ุจูŠูƒูˆู† ุนู†ุฏู‡ุง ุงู„ู…ูŠู‡ ู…ู…ูƒู† ุชูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ
792
+
793
+ 199
794
+ 00:17:39,450 --> 00:17:44,970
795
+ ุงู„ุณุงุฆู„ ุงูˆ ุงู„ุตู„ุจุฉ ุงูˆ ุงู„ุบุงุฒูŠุฉ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† degree of
796
+
797
+ 200
798
+ 00:17:44,970 --> 00:17:48,850
799
+ steelessness ูˆุงู„ูƒู„ูู† ุงู„ C ุจูŠุณุชูˆู‰ ุงู„ูƒู„ูู† ู…ุนู‚ุต ู…ุชูŠู†
800
+
801
+ 201
802
+ 00:17:48,850 --> 00:17:51,290
803
+ ูˆ ุชู„ุงุช ุณุจุน point ูˆุงุญุฏ ุฎู…ุณุฉ
804
+
805
+ 202
806
+ 00:17:58,070 --> 00:18:04,090
807
+ ุทูŠุจ ุงู„ุงู† ุงู„ temperature scale ุนู…ู„
808
+
809
+ 203
810
+ 00:18:04,090 --> 00:18:08,330
811
+ ุงู„ scale based ุนู„ู‰ ุงู„ absolute zero ุงู„ู„ูŠ ู‡ูˆ ู…ู‚ุต
812
+
813
+ 204
814
+ 00:18:08,330 --> 00:18:14,570
815
+ 273.0 ุฃูˆ zero Kelvin ุชู…ุฏ ุนู„ู‰ ุงู„ triple point ู„ู„
816
+
817
+ 205
818
+ 00:18:14,570 --> 00:18:19,930
819
+ argon ู„ู„ triple point of water
820
+
821
+ 206
822
+ 00:18:21,580 --> 00:18:26,360
823
+ ุงู„ ten point ุงู„ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ุตุฏูŠุฑ ุงู„ temperature
824
+
825
+ 207
826
+ 00:18:26,360 --> 00:18:28,580
827
+ of equilibrium ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุบุงุฒูŠุฉ
828
+
829
+ 208
830
+ 00:18:28,580 --> 00:18:31,780
831
+ ู‡ูŠ ุงู„ triple point triple point triple point ูŠุนู†ูŠ
832
+
833
+ 209
834
+ 00:18:31,780 --> 00:18:34,580
835
+ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ู„ูŠ ุจูŠูƒูˆู† ุงู„ู…ุงุฏุฉ ุนู†ุฏูƒ ููŠ ุงู„ุญุงู„ุฉ
836
+
837
+ 210
838
+ 00:18:34,580 --> 00:18:37,520
839
+ ุงู„ุณุงุฑุฉ ุฃูˆ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุบุงุฒูŠุฉ ู‡ูŠ triple point ุงู„ ุงู„
840
+
841
+ 211
842
+ 00:18:37,520 --> 00:18:40,140
843
+ equilibrium point ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงุฑุฉ ูˆ ุงู„ุญุงู„ุฉ
844
+
845
+ 212
846
+ 00:18:40,140 --> 00:18:42,120
847
+ ุงู„ุบุงุฒูŠุฉ ุงู„ ten ุงู„ู„ูŠ ู‡ูŠ ุจุชูƒูˆู† ุงุฑุจุนู…ุงุฆุฉ ูˆ ุชุณุนุฉ ูˆ
848
+
849
+ 213
850
+ 00:18:42,120 --> 00:18:47,720
851
+ ุงุฑุจุนูŠู† ุฏุฑุฌุฉุงู„ุฒู†ูƒ point ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุงู„ุฉ .. ุงู„ุญุงู„ุฉ ..
852
+
853
+ 214
854
+ 00:18:47,720 --> 00:18:51,480
855
+ ุงู„ .. ุงู„ .. ุงู„ุญุงู„ุฉ ุงู„ุชู†ู‚ูŠุฉ ู…ู† ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ุญุงู„ุฉ
856
+
857
+ 215
858
+ 00:18:51,480 --> 00:18:53,980
859
+ ุงู„ุณุงู„ุฉ ุงูˆ ุงู„ุนูƒุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุจุนุฉ ู…ุงุฆุฉ ูˆ ุณุจุนุฉ ุชู…ุงู†ูŠู†
860
+
861
+ 216
862
+ 00:18:53,980 --> 00:18:56,700
863
+ ุงู„ aluminium point ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุงู„ุฉ ุงู„ูุงุตู„ุฉ ู…ู†
864
+
865
+ 217
866
+ 00:18:56,700 --> 00:19:00,140
867
+ ุงู„ุญุงู„ุฉ ุงู„ุณุงู„ุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ุฃู„ู…ู†ูŠูˆู… ุงู„ู„ูŠ ู‡ูŠ
868
+
869
+ 218
870
+ 00:19:00,140 --> 00:19:04,000
871
+ ุงู„ู ูˆ ู…ุชูŠู† ูˆ ุนุดุฑูŠู† ุชู‚ุฑูŠุจุง ุงู„ silver point ู‡ูŠ ุฏุฑุฌุฉ
872
+
873
+ 219
874
+ 00:19:04,000 --> 00:19:07,120
875
+ ุญุฑุงุฑุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ุงู„ุณุงู„ุฉ ูˆ ุงู„ุญุงู„ุฉ ุงู„ุตู„ุจุฉ ู„ู„ูุถุฉ ุงู„ู
876
+
877
+ 220
878
+ 00:19:07,120 --> 00:19:11,730
879
+ ูˆ ุณุจุนุฉ ู…ุงุฆุฉ ูˆ ..ูˆุงู„ุชู„ุงุชุฉ ูˆุฎู…ุณูŠู† ุงู„ goal point
880
+
881
+ 221
882
+ 00:19:11,730 --> 00:19:14,670
883
+ ุงู„ุฏู‡ุจ ู„ุญุงู„ุฉ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุจูŠุฉ ุงู„ุญุงู„ุฉ ุงู„ุณุงูˆูŠุฉ ู„ุญุงู„ุฉ
884
+
885
+ 222
886
+ 00:19:14,670 --> 00:19:17,470
887
+ ุงู„ุตู„ุจุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู ุชุณุนูŠุฉ ุณูˆูŠุฉ ุงุฑุจุนูŠู† point ุฎู…ุณุฉ
888
+
889
+ 223
890
+ 00:19:17,470 --> 00:19:23,430
891
+ ุงุชู†ูŠู† ุจู†ุนู…ู„ูˆุง ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ scale
892
+
893
+ 224
894
+ 00:19:23,430 --> 00:19:27,690
895
+ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุจุชูุงุตูŠู„ ู‡ุฐู‡ ู„ู…ุง ู†ูŠุฌูŠ ู„ู‚ูŠุงุณุงุช ุฏุฑุฌุฉ
896
+
897
+ 225
898
+ 00:19:27,690 --> 00:19:32,210
899
+ ุงู„ุญุฑุงุฑุฉ ุทูŠุจ
900
+
901
+ 226
902
+ 00:19:36,070 --> 00:19:39,670
903
+ ุงู„ุงู† ุงู„ุฑุงูŠู† ูƒุงู† ุจุงู„ุณูˆุงุก one point one point eight
904
+
905
+ 227
906
+ 00:19:39,670 --> 00:19:45,590
907
+ Kelvin ูˆุงู„ูุฑู† ู‡ุงุช ุจุงู„ุณูˆุงุก ุงู„ุงุฑ ุจุงูŠู†ุณ ุงุฑุจุนูŠู† ูˆ ุชุณุนุฉ
908
+
909
+ 228
910
+ 00:19:45,590 --> 00:19:50,190
911
+ ูˆ ุฎู…ุณูŠู† point ุณุชุฉ ุณุจุนุฉ ุทุจุนุง ุงู†ุง ุจุณุชุฎุฏู… ุจู…ุญุชุงุฌ
912
+
913
+ 229
914
+ 00:19:50,190 --> 00:19:53,630
915
+ ู„ุฃุฌู‡ุฒุฉ ู…ุนูŠุงุฑูŠุฉ ู„ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ููŠ ุนู†ุฏู‡ุง ุงู„ู…ุญูŠุท ู…ุนู„ู†
916
+
917
+ 230
918
+ 00:19:53,630 --> 00:19:57,830
919
+ ุงู„ standardizedุจุงูŠุฑูˆู…ูŠุชุฑ ุนู†ุฏ ุงู„ standardized
920
+
921
+ 231
922
+ 00:19:57,830 --> 00:20:02,070
923
+ resistance thermometer ูˆ ุงู„ standardized gas
924
+
925
+ 232
926
+ 00:20:02,070 --> 00:20:05,630
927
+ thermometer ู‡ุฏูˆู„ ู‡ู†ู…ุฑ ุนู„ูŠู‡ู… ุจุงู„ุชูุตูŠู„ ููŠ ุงู„ chapter
928
+
929
+ 233
930
+ 00:20:05,630 --> 00:20:13,050
931
+ ุงู„ุญุฑุงุฑุฉ ุงู„ุงู† ุงู„ system of units ููŠ ุนู†ุฏ ุงู„ูˆุญุฏุงุช
932
+
933
+ 234
934
+ 00:20:13,050 --> 00:20:18,370
935
+ ุงู„ู„ูŠ ู‡ูŠ ุญุณุจ ุนู†ุฏ ุงู„ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ SI ุงู„ SI unit ุงู„
936
+
937
+ 235
938
+ 00:20:18,370 --> 00:20:24,910
939
+ CGS unit systemุนู†ุฏูŠ ุงู„ English engineering unit ุงู„
940
+
941
+ 236
942
+ 00:20:24,910 --> 00:20:29,410
943
+ absolute English ูˆ ุงู„ุชูƒู†ูŠูƒุงู„ English ููŠ ุงู„ ASI
944
+
945
+ 237
946
+ 00:20:29,410 --> 00:20:34,010
947
+ ุนู†ุฏูŠ ูˆุญุฏุงุช ุงู„ mass ูˆ ุงู„ length ูˆ ุงู„ time ุงู„ length
948
+
949
+ 238
950
+ 00:20:34,010 --> 00:20:40,330
951
+ meter second ุงู„ times second ุงู„ mass kilogram ุงู„
952
+
953
+ 239
954
+ 00:20:40,330 --> 00:20:46,270
955
+ cgs centimeter second gram
956
+
957
+ 240
958
+ 00:20:48,160 --> 00:20:54,700
959
+ ุงู„ English engineering ู‚ุฏู… second pound mass ุตุงุฑ
960
+
961
+ 241
962
+ 00:20:54,700 --> 00:21:00,340
963
+ ุนู†ุฏู‰ ูˆุงุญุฏุฉ ุฑุงุจุนุฉ pound force ุงู„ absolute English
964
+
965
+ 242
966
+ 00:21:00,340 --> 00:21:09,740
967
+ ู‚ุฏู… ุซุงู†ูŠุฉ pound mass poundel ุงู„ technical English
968
+
969
+ 243
970
+ 00:21:09,740 --> 00:21:19,090
971
+ ู‚ุฏู… ุซุง๏ฟฝ๏ฟฝูŠุฉ slug pound force pound forceู†ุฑุฌุน ู„ู‡ู†ุง
972
+
973
+ 244
974
+ 00:21:19,090 --> 00:21:28,130
975
+ ู„ู†ูŠูˆุชู† ู„ูˆ ุนู†ุฏ ุฌุณู… ุง
976
+
977
+ 245
978
+ 00:21:28,130 --> 00:21:35,710
979
+ apply a force F ูƒู…ูŠุฉ ูˆุงุญุฏ ู†ูŠูˆุชู† ู„ู†ูŠูˆุชู† ู‡ูŠ ุงู„ force
980
+
981
+ 246
982
+ 00:21:35,710 --> 00:21:38,490
983
+ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุงุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one kilogram
984
+
985
+ 247
986
+ 00:21:40,640 --> 00:21:44,420
987
+ ุจุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ per second ุฃูƒุณู„ุงุฑูŠุดู† ูˆุงุญุฏ ู…ุชุฑ
988
+
989
+ 248
990
+ 00:21:44,420 --> 00:21:49,780
991
+ per second ู‡ุฐุง ุงู„ูˆุงุญุฏ ู†ูŠูˆุชู† ุนุดุงู† ู‡ูŠูƒ ู‡ุชูƒูˆู† ุงู„ูˆุงุญุฏ
992
+
993
+ 249
994
+ 00:21:49,780 --> 00:21:55,980
995
+ ู†ูŠูˆุชู† ุจุงู„ุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ mass kilogram ููŠ ุงู„
996
+
997
+ 250
998
+ 00:21:55,980 --> 00:21:59,560
999
+ acceleration meter ุนู„ู‰ second square ู…ุนู†ุงุชู‡
1000
+
1001
+ 251
1002
+ 00:21:59,560 --> 00:22:01,780
1003
+ ุงู„ู†ูŠูˆุชู† ู‡ูˆ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู…ุฉ ุนุดุงู† ุฃุญุฑู‚ ุฌุณู…ูŠ ุฃุฎูˆุชูŠ
1004
+
1005
+ 252
1006
+ 00:22:01,780 --> 00:22:05,640
1007
+ to one kilogram ุจุฃูƒุณู„ุงุฑูŠุดู† meter per second square
1008
+
1009
+ 253
1010
+ 00:22:05,640 --> 00:22:08,120
1011
+ ุงู„ุฏูŠู†
1012
+
1013
+ 254
1014
+ 00:22:15,390 --> 00:22:26,730
1015
+ ุงู„ุฏูŠู† ุงู†ุฏูŠุฌุฑุงู… ููŠ ุณุงู†ุชู…ุชุฑ per second square ุงู„ุฏูŠู†
1016
+
1017
+ 255
1018
+ 00:22:26,730 --> 00:22:30,970
1019
+ ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุงุญุฑู‚ ุฌุณู… ูƒุชู„ุฉ ุงู„ gram ุจ
1020
+
1021
+ 256
1022
+ 00:22:30,970 --> 00:22:34,370
1023
+ acceleration ู‚ูŠู…ุชู‡ุง ูˆุงุญุฏ ุณุงู†ุชู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน
1024
+
1025
+ 257
1026
+ 00:22:34,370 --> 00:22:40,050
1027
+ ุญุฏูŠุซ ุงู„ุฏูŠู† ุงู„ pound force ููŠ ุงู„ู†ุธุงู… ู‡ุฐุง pound
1028
+
1029
+ 258
1030
+ 00:22:40,050 --> 00:22:53,440
1031
+ forceูˆุงุญุฏ pound force ุจุณุงูˆูŠ ูˆุงุญุฏ
1032
+
1033
+ 259
1034
+ 00:22:53,440 --> 00:23:00,740
1035
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
1036
+
1037
+ 260
1038
+ 00:23:02,040 --> 00:23:05,880
1039
+ ุนู„ู‰ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุฉ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ
1040
+
1041
+ 261
1042
+ 00:23:05,880 --> 00:23:10,600
1043
+ ุนุดุงู† ุงุญุฑูƒ ุฌุณู… ูƒุชู„ุฉ one pound mass ุจ acceleration
1044
+
1045
+ 262
1046
+ 00:23:10,600 --> 00:23:13,240
1047
+ ูƒู…ูŠุฉ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ ุซุงู†ูŠุฉ
1048
+
1049
+ 263
1050
+ 00:23:13,240 --> 00:23:21,920
1051
+ ุชุฑุจูŠุฉ ุงู„ acceleration of gravity ุงู„ poundal ุงู„
1052
+
1053
+ 264
1054
+ 00:23:21,920 --> 00:23:22,480
1055
+ poundal
1056
+
1057
+ 265
1058
+ 00:23:27,360 --> 00:23:35,720
1059
+ ุจุณุงูˆูŠ ูˆุงุญุฏ pound mass ููŠ ูˆุงุญุฏ foot ุนู„ู‰ second
1060
+
1061
+ 266
1062
+ 00:23:35,720 --> 00:23:39,200
1063
+ square pound ุงู„ูˆุงุญุฏุฉ ุชุงู†ูŠุฉ ุบูŠุฑ ุงู„ pound force ู‡ูŠ
1064
+
1065
+ 267
1066
+ 00:23:39,200 --> 00:23:46,100
1067
+ ุงู„ู‚ูˆุฉ ุงู„ู„ุงุฒู…ุฉ ุนุดุงู† ุงุญุฑูƒ one pound ูˆุฒู† ูƒุชู„ุชู‡ ุงูˆ ุฌุณู…
1068
+
1069
+ 268
1070
+ 00:23:46,100 --> 00:23:49,760
1071
+ ูƒุชู„ุชู‡ one pound mass ุจ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1072
+
1073
+ 269
1074
+ 00:23:49,760 --> 00:23:57,970
1075
+ ุงู„ุซุงู†ูŠุฉ ุชุฑุจูŠุน ุงู„ุงุฎุฑ ูˆุงุญุฏุฉ ุงู„ poundุงู„ pound force
1076
+
1077
+ 270
1078
+ 00:23:57,970 --> 00:24:01,450
1079
+ ุจุงู„ุณุงูˆูŠุฉ
1080
+
1081
+ 271
1082
+ 00:24:01,450 --> 00:24:09,250
1083
+ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ
1084
+
1085
+ 272
1086
+ 00:24:09,250 --> 00:24:16,270
1087
+ ู‚ุฏู… ุงู„ pound force ู‡ูŠ ุงู„ู‚ูˆุฉ ุงู„ู„ูŠ ู„ุงุฒู… ุนุดุงู† ุงุญุฑูƒ
1088
+
1089
+ 273
1090
+ 00:24:16,270 --> 00:24:22,670
1091
+ ุฌุณู… ูƒุชู„ุชู‡ one slug ุจ acceleration ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1092
+
1093
+ 274
1094
+ 00:24:22,670 --> 00:24:28,360
1095
+ ุงู„ุซุงู†ู‰ ุชุฑุจูŠุนู…ุนู†ุงุชู‡ ููŠ relation ู„ูˆ ุฃุฎุฏู†ุง ู‡ุฐู‡ ู„ูˆ
1096
+
1097
+ 275
1098
+ 00:24:28,360 --> 00:24:40,360
1099
+ ุณูˆู†ุง ู‡ุฐู‡ ุจู‡ุฐู‡ ู‡ูƒูˆู† ุนู†ุฏูŠ ูˆุงุญุฏ slug ููŠ ูˆุงุญุฏ ู‚ุฏู… ุนู„ู‰
1100
+
1101
+ 276
1102
+ 00:24:40,360 --> 00:24:48,680
1103
+ ุซุงู†ูŠุฉ ุชุฑุจูŠุฉ ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ pound mass ููŠ ุงุชู†ูŠู†
1104
+
1105
+ 277
1106
+ 00:24:48,680 --> 00:24:55,620
1107
+ ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู… ุนู„ู‰ second ุชุฑุจูŠุฉู…ุนู†ุงุชู‡
1108
+
1109
+ 278
1110
+ 00:24:55,620 --> 00:25:01,780
1111
+ ุงู„ pound mass ู‡ูŠุฑูˆุญ ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ุตุญ ุงู„ pound mass
1112
+
1113
+ 279
1114
+ 00:25:01,780 --> 00:25:08,560
1115
+ ุณูˆู‰ ูˆุงุญุฏ slug ุนู„ู‰
1116
+
1117
+ 280
1118
+ 00:25:08,560 --> 00:25:11,360
1119
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุน ู…ุนู†ุงุชู‡ ุงู„ slug
1120
+
1121
+ 281
1122
+ 00:25:11,360 --> 00:25:13,520
1123
+ ุจูŠุณุชูˆู‰ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุน pound mass
1124
+
1125
+ 282
1126
+ 00:25:23,070 --> 00:25:27,610
1127
+ ุงู„ุฃูƒุซุฑ ุดูŠูˆุนุงู† .. ุงู„ุฃูƒุชุฑ ุดูŠูˆุนุงู† ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ูˆู‡ุฐุง
1128
+
1129
+ 283
1130
+ 00:25:33,920 --> 00:25:38,380
1131
+ ููŠ ูุชุฑุฉ ู‚ุฏูŠู…ุฉ ูƒุงู†ุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ .. ุจุณ ุจุฑูŠุทุงู†ูŠุง
1132
+
1133
+ 284
1134
+ 00:25:38,380 --> 00:25:40,920
1135
+ ุงู„ุญุงูƒู…ุฉ ุนุงู…ู„ุฉ ุงู„ุฃู†ุธู…ุฉ ู…ุงูƒุงู†ุด ุฏูˆู„ ุชุงู†ูŠุฉุŒ ู…ุงูƒุงู†ุด
1136
+
1137
+ 285
1138
+ 00:25:40,920 --> 00:25:45,480
1139
+ ุนู†ุฏูƒ ุงู„ metric system ุฃู„ู…ุงู†ูŠุง ู…ุงูƒุงู†ุด ู…ูˆุฌูˆุฏุฉุŒ ูุธู‡ุฑุช
1140
+
1141
+ 286
1142
+ 00:25:45,480 --> 00:25:47,640
1143
+ ุงู„ standards ูˆ ุจุนุฏูŠู† ุจุฏูˆุง ูŠุบูŠุฑูˆุงุŒ ููŠ ุงู„ุจุฏุงูŠุฉ
1144
+
1145
+ 287
1146
+ 00:25:47,640 --> 00:25:50,840
1147
+ ู…ุงูƒุงู†ุด ููŠู‡ ุชูˆุญูŠุฏุŒ ูŠุนู†ูŠ ูƒุงู† ุฏูˆู„ ู…ู†ูุตู„ุฉ ูƒุงู…ู„
1148
+
1149
+ 288
1150
+ 00:25:50,840 --> 00:25:54,760
1151
+ standard ุฃูˆ ุฃูƒุชุฑ ู…ู† standardุŒ ุจุนุฏูŠู† ุงู„ุนุงู„ู… ูƒุจุฑ ุตุงุฑ
1152
+
1153
+ 289
1154
+ 00:25:54,760 --> 00:25:58,160
1155
+ ุฅู† ุงู„ู…ุทุงุฑุงุช ูˆ ุญุฑูŠุฉ ุงู„ุชู†ู‚ู„ ูˆ ุตุงุฑ ุงู„ุนุงู„ู… ูŠุฒุฑู‚ูˆุง
1156
+
1157
+ 290
1158
+ 00:25:58,160 --> 00:26:03,160
1159
+ ุงู„ู…ุงู„ู‡ูุตุงุฑ ุงู„ู†ุงุณ ูŠุชุนุงู…ู„ ู…ุน ุจุนุถ ุจุดูƒู„ ุงุญุชูƒุงูƒ ู…ุจุงุดุฑ ูˆ
1160
+
1161
+ 291
1162
+ 00:26:03,160 --> 00:26:08,200
1163
+ ุจุทู„ุช ุงู„ุตู†ุงุนุง๏ฟฝ๏ฟฝ ู…ุญุชูƒุฑุฉ ุจุฏูˆู„ุฉ ู…ุนูŠู†ุฉ ูุตุงุฑ ุงู„ุฃู„ู…ุงู†
1164
+
1165
+ 292
1166
+ 00:26:08,200 --> 00:26:10,720
1167
+ ูŠุตู†ุนูˆุงุŒ ุงู„ูŠุงุจุงู†ูŠูŠู† ูŠุตู†ุนูˆุงุŒ ุตุงุฑ ุงู„ุฃู„ู…ุงู† ูŠุนู…ู„ูˆุง
1168
+
1169
+ 293
1170
+ 00:26:10,720 --> 00:26:13,120
1171
+ standard ู„ุญุงู„ู‡ุŒ ุงู„ูŠุงุจุงู† ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard
1172
+
1173
+ 294
1174
+ 00:26:13,120 --> 00:26:15,440
1175
+ ู„ุญุงู„ู‡ุŒ ุงู„ุฃู…ุฑูŠูƒูŠ ุตุงุฑูˆุง ูŠุนู…ู„ูˆุง standard ู„ุญุงู„ู‡ ูˆ
1176
+
1177
+ 295
1178
+ 00:26:15,440 --> 00:26:17,860
1179
+ ุงุฌุชู…ุงุน ู„ู‡ ู…ุดุงูƒู„ุŒ ู…ุด ุนุงุฑููˆุง ูŠุชุนุงู…ู„ูˆุง ู…ุน ุจุนุถุŒ ูˆ
1180
+
1181
+ 296
1182
+ 00:26:17,860 --> 00:26:21,040
1183
+ ุจุงู„ุชุงู„ูŠ ุฌู„ุณูˆุง ู…ุน ุจุนุถ ูˆ ุญูƒูˆุง ุฅู†ู†ุง ู†ูˆุญุฏุŒ ูŠุนู†ูŠ ุฃู†ุช ..
1184
+
1185
+ 297
1186
+ 00:26:21,040 --> 00:26:23,920
1187
+ ุฃู†ุช ุนู…ู„ุช standardุŒ ู…ุงุดูŠ ูˆ ุฃู†ุง ุนู…ู„ุช standardุŒ ุจุณ ุฏู‡
1188
+
1189
+ 298
1190
+ 00:26:23,920 --> 00:26:29,800
1191
+ ู†ุชูู‚ ุนู„ู‰ ุงู„ุชุญูˆูŠู„ ุจูŠู† ู‡ุฐู‡ ุงู„ standardsุทุจุนุง ุญุงู„ูŠุง ุงู„
1192
+
1193
+ 299
1194
+ 00:26:29,800 --> 00:26:34,740
1195
+ .. ุงู„ุฐูŠ ูŠุณูˆุฏ ูˆ ู‡ูŠู†ุชู‡ูŠ ุนู„ู‰ ุงู„ู…ู‚ุงู…ุฉ ุงู„ุจุนูŠุฏ ู‡ูŠู†ุชู‡ูŠ
1196
+
1197
+ 300
1198
+ 00:26:34,740 --> 00:26:37,460
1199
+ ุงู„ู†ุธุงู… ุงู„ุฅู†ุฌู„ูŠุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ ASI system ุงู„ metric
1200
+
1201
+ 301
1202
+ 00:26:37,460 --> 00:26:42,960
1203
+ ูŠุนู†ูŠ ู…ุซู„ุง ููŠ ุฃู…ุฑูŠูƒุง ุทู„ุนูˆุง ู‚ุฑุงุฑ ุณู†ุฉ ุงู„ุชุณุนูŠู† ูˆ ูˆุนุฏูˆุง
1204
+
1205
+ 302
1206
+ 00:26:42,960 --> 00:26:47,780
1207
+ ูุชุฑุฉ ุณู†ุฉ ูˆ ุฎู…ุณ ุณู†ูˆุงุช ุงู†ู‡ ููŠ ุงู„ุณู†ุฉ ุงู„ุฎู…ุณูŠู† ูŠู†ุชู‡ูŠ
1208
+
1209
+ 303
1210
+ 00:26:47,780 --> 00:26:53,720
1211
+ ุงู„ุชุนุงู…ู„ ุจุงู„ English systemุทุจุนุง ู…ุงู‚ุฏุฑูˆุด ุชู‚ุฑูŠุจุง
1212
+
1213
+ 304
1214
+ 00:26:53,720 --> 00:26:57,400
1215
+ ุฃูุฒูˆู…ูŠ ููŠ ุงู„ู…ูŠุงู‡ ู„ุฃู† ุงู„ู†ุงุณ ุซู‚ุงูุชู‡ู… ุจุฑู…ุฌ ุนู„ู‰ ู†ุธุงู…
1216
+
1217
+ 305
1218
+ 00:26:57,400 --> 00:27:02,740
1219
+ ุงู„ English system ูŠุนู†ูŠ ุจูŠุญูƒูŠู„ูƒ .. ุงู†ุช ุจุชูู‡ู… ุงุฐุง
1220
+
1221
+ 306
1222
+ 00:27:02,740 --> 00:27:06,560
1223
+ ุชุญูƒูŠ ุฎู…ุณุฉ ุตู†ุทุงูŠ ุฎู…ุณุฉ ุตู†ุทูŠ ู‡ูˆ ุจูŠุญูƒูŠู„ูƒ a couple of
1224
+
1225
+ 307
1226
+ 00:27:06,560 --> 00:27:12,160
1227
+ two inches ุจูŠูู‡ู… ุจุฎู‡ ู…ุฑุงูƒุจ ุนู„ู‰ ุงู„ุงู†ุดุงุช ูŠุนู†ูŠ ุจุชุญูƒูŠ
1228
+
1229
+ 308
1230
+ 00:27:12,160 --> 00:27:15,200
1231
+ ูˆุงู„ู„ู‡ ุงู„ุณุฑุนุฉ ู…ุงุดูŠุฉ ุจู‚ู‰ ู…ุงุฆุฉ ูƒูŠู„ูˆู…ุชุฑ ุงู„ุณุงุนุฉ ุจูŠุญูƒูŠู„ูƒ
1232
+
1233
+ 309
1234
+ 00:27:15,200 --> 00:27:21,750
1235
+ ุงู„ุณุงุนุฉ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุณุชูŠู† mile per hourู…ุฎู‡ ู„ุณู‡ ุฑุงูƒุน
1236
+
1237
+ 310
1238
+ 00:27:21,750 --> 00:27:25,310
1239
+ ู†ุธุงู… ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุทุจุนุง ุจุชุชุบูŠุฑ ุฃุฌูŠุงู„ ูŠุนู†ูŠ
1240
+
1241
+ 311
1242
+ 00:27:25,310 --> 00:27:29,010
1243
+ ุจุชูˆู‚ุน .. ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุฃูƒูŠุฏ ุงู„ู†ุธุงู… ุงู„ ู…ุชุฑ ู‡ูŠุณูˆุฏ
1244
+
1245
+ 312
1246
+ 00:27:29,010 --> 00:27:38,590
1247
+ ู„ุฃู†ู‡ ุฃุณู‡ู„ ูƒุชูŠุฑ ููŠ ุงู„ุชุนุงู…ู„ ู†ุดูˆู
1248
+
1249
+ 313
1250
+ 00:27:38,590 --> 00:27:39,110
1251
+ ู…ุซุงู„
1252
+
1253
+ 314
1254
+ 00:27:47,080 --> 00:27:50,160
1255
+ determine the conversion factor between pound
1256
+
1257
+ 315
1258
+ 00:27:50,160 --> 00:28:02,680
1259
+ force and newton ุงู„ pound
1260
+
1261
+ 316
1262
+ 00:28:02,680 --> 00:28:10,020
1263
+ force ุงูŠุด ุจูŠุณุชูˆูŠ ูˆุงุญุฏ
1264
+
1265
+ 317
1266
+ 00:28:10,020 --> 00:28:15,940
1267
+ pound mass ููŠ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ู‚ุฏู…
1268
+
1269
+ 318
1270
+ 00:28:16,930 --> 00:28:20,370
1271
+ ุนู„ู‰ ุงู„ second ุชุฑุจูŠุน ุทูŠุจ ุงู„ pound ู…ุงุดูŠ ุงุญู†ุง ู„ู…ุง
1272
+
1273
+ 319
1274
+ 00:28:20,370 --> 00:28:26,110
1275
+ ุงุนุฑูู†ุง ุงู„ standard ุชุนู…ู„ ู…ุงุดูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ ุงูŠู‡ one
1276
+
1277
+ 320
1278
+ 00:28:26,110 --> 00:28:31,050
1279
+ pound ู…ุงุดูŠ ู…ุด ุจุงู„ุณุงูˆูŠุฉ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ
1280
+
1281
+ 321
1282
+ 00:28:31,050 --> 00:28:40,210
1283
+ ุจุงู„ุณุงูˆูŠุฉ point ุงุฑุจุน ุฎู…ุณุฉ ุชู„ุงุชุฉ ุฎู…ุณุฉ ุชุณุนุฉ ุงุชู†ูŠู†
1284
+
1285
+ 322
1286
+ 00:28:40,210 --> 00:28:43,610
1287
+ ุชู„ุงุชุฉ ุณุจุนุฉ
1288
+
1289
+ 323
1290
+ 00:28:47,880 --> 00:28:59,200
1291
+ ูƒู„ุฌุฑุงู… ุตุญ ููŠู‡ ุงุชู†ูŠู† ูˆุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ ุงู„ู‚ุฏู…
1292
+
1293
+ 324
1294
+ 00:28:59,200 --> 00:29:04,980
1295
+ ูƒู… ู…ุชุฑ ุงู„ู‚ุฏู… ุงู„
1296
+
1297
+ 325
1298
+ 00:29:04,980 --> 00:29:12,220
1299
+ ู…ุชุฑ one meter ุจุงู„ุณุงูˆูŠุฉ
1300
+
1301
+ 326
1302
+ 00:29:12,220 --> 00:29:15,760
1303
+ ุงูˆ one ู‚ุฏู… one foot
1304
+
1305
+ 327
1306
+ 00:29:19,170 --> 00:29:26,830
1307
+ ุจุณุงูˆุฉ point ุชู„ุงุชุฉ zero four seven four eight ู…ุชุฑ
1308
+
1309
+ 328
1310
+ 00:29:26,830 --> 00:29:35,010
1311
+ ุตุญ ูŠุนู†ูŠ ุนู†ุฏูŠ ู‚ุฏู… ู‡ู†ุง ููŠ point
1312
+
1313
+ 329
1314
+ 00:29:35,010 --> 00:29:40,630
1315
+ ุชู„ุงุชุฉ zero four ุชู…ุงู†ูŠุฉ ู…ุชุฑ per second square ูŠุนู†ูŠ
1316
+
1317
+ 330
1318
+ 00:29:40,630 --> 00:29:46,010
1319
+ ุญูŠุซ ุณุงูˆูŠุฉ ุงุถุฑุจู‡ point ุงุฑุจุน ุฎู…ุณ ุชู„ุงุชุฉ ุงุถุฑุจ ุงู„ุฑู‚ู…
1320
+
1321
+ 331
1322
+ 00:29:46,010 --> 00:29:49,950
1323
+ ู‡ุฐุง32.17x0.3048
1324
+
1325
+ 332
1326
+ 00:30:16,160 --> 00:30:23,800
1327
+ ุงุฑุจุนุฉ ุจูˆู†ุท ุงุฑุจุนุฉ ุงุฑุจุนุฉ ุณุจุนุฉ ูƒูŠู„ูˆุฌุฑุงู… ููŠ ู…ุชุฑ ุนู„ู‰
1328
+
1329
+ 333
1330
+ 00:30:23,800 --> 00:30:29,760
1331
+ second square ู‡ุฐุง ุงูŠุด ู‡ุฐุง ู†ูŠูˆุชู† ุงุฑุจุนุฉ ุจูˆู†ุท ุงุฑุจุนุฉ
1332
+
1333
+ 334
1334
+ 00:30:29,760 --> 00:30:35,880
1335
+ ุงุฑุจุนุฉ ุณุจุนุฉ ู†ูŠูˆุชู† ูุงุญู†ุง ู†ุฌูŠุจ ุชุญูˆูŠู„ ุจูŠู† pound force
1336
+
1337
+ 335
1338
+ 00:30:35,880 --> 00:30:40,080
1339
+ ูˆู†ูŠูˆุชู† ุดูˆู example ุชุงู†ูŠ
1340
+
1341
+ 336
1342
+ 00:30:47,510 --> 00:30:55,730
1343
+ water of density ฯ ุนู†ุฏ ู…ูŠุฉ ูƒุซุงูุฉ ุฑูˆ
1344
+
1345
+ 337
1346
+ 00:30:55,730 --> 00:31:04,770
1347
+ and dynamic viscosity ู…ูŠูˆ flows
1348
+
1349
+ 338
1350
+ 00:31:04,770 --> 00:31:08,930
1351
+ with velocity v through a pipe ู…ุงุดูŠ ููŠ ุงู†ุจูˆุจ ุจุณุฑุนุฉ
1352
+
1353
+ 339
1354
+ 00:31:08,930 --> 00:31:09,570
1355
+ ู…ุนูŠู†ุฉ
1356
+
1357
+ 340
1358
+ 00:31:14,200 --> 00:31:19,340
1359
+ of diameter ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ pipe ู„ู‡ุง ู‚ุทุฑ ู…ุนูŠู† ู‡ู†ูƒุชุจ
1360
+
1361
+ 341
1362
+ 00:31:19,340 --> 00:31:23,720
1363
+ ุจุนุฏ ุดูˆูŠุฉ calculate Reynolds number ู‡ุชู‚ุฏุฑุณู‡ ููŠ
1364
+
1365
+ 342
1366
+ 00:31:23,720 --> 00:31:29,080
1367
+ fluid mechanics from the data supplied using the
1368
+
1369
+ 343
1370
+ 00:31:29,080 --> 00:31:35,660
1371
+ English engineering system of units ูˆู…ุงุฑ ู‡ุณุชุฎุฏู… ุงู„
1372
+
1373
+ 344
1374
+ 00:31:35,660 --> 00:31:46,570
1375
+ SI unitsุทุจุนุง ุงู„ุฑู…ุฒ ู„ู†ุธุฑ ู…ุนุฑู ุฑูˆ VD
1376
+
1377
+ 345
1378
+ 00:31:46,570 --> 00:31:56,250
1379
+ ุนู„ู‰ ู…ูŠูˆ ุฏูŠ ุฏูŠ
1380
+
1381
+ 346
1382
+ 00:31:56,250 --> 00:31:57,370
1383
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1384
+
1385
+ 347
1386
+ 00:31:57,370 --> 00:31:57,430
1387
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1388
+
1389
+ 348
1390
+ 00:31:57,430 --> 00:31:58,570
1391
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1392
+
1393
+ 349
1394
+ 00:31:58,570 --> 00:31:58,590
1395
+ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ ุฏูŠ
1396
+
1397
+ 350
1398
+ 00:32:10,130 --> 00:32:16,330
1399
+ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ู…ูƒุนุจ ุงู„ dynamic viscosity
1400
+
1401
+ 351
1402
+ 00:32:16,330 --> 00:32:22,510
1403
+ ุงู„ู„ูŠ ุฒูˆุฌุฉ ู„ู„ู…ูŠู‡ ููŠ ุงู„ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉ one point two
1404
+
1405
+ 352
1406
+ 00:32:22,510 --> 00:32:33,870
1407
+ meter per second ุจุงู„ English unit ุงู‡
1408
+
1409
+ 353
1410
+ 00:32:33,870 --> 00:32:34,850
1411
+ ู‡ุฐู‡ ุงู„ุณุฑุนุฉ ุตุญูŠุญ
1412
+
1413
+ 354
1414
+ 00:32:37,800 --> 00:32:42,160
1415
+ ู…ุนุงุทู ุงู„ุณุฑุนุฉ ูˆุงุญุฏ point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per
1416
+
1417
+ 355
1418
+ 00:32:42,160 --> 00:32:50,000
1419
+ second ู‡ูŠ ุงุฑุจุนุฉ ู‚ุฏู… per second ุงู„ dynamic
1420
+
1421
+ 356
1422
+ 00:32:50,000 --> 00:32:53,720
1423
+ viscosity ููŠ
1424
+
1425
+ 357
1426
+ 00:32:53,720 --> 00:32:58,100
1427
+ ุงู„ .. ููŠ ุงู„ metric ูŠุนู†ูŠ ุงุชู†ูŠู† ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ
1428
+
1429
+ 358
1430
+ 00:32:58,100 --> 00:33:03,280
1431
+ ุนุดุฑ ุงู‚ุต ู†ุงู‚ุต ุงุฑุจุนุฉ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ุนุดุฑ ุงู‚ุต
1432
+
1433
+ 359
1434
+ 00:33:03,280 --> 00:33:08,640
1435
+ ู†ุงู‚ุต ุงุฑุจุนุฉุงู„ู†ูŠูˆุชู† ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ square ุงู„ู†ูŠูˆุชู†
1436
+
1437
+ 360
1438
+ 00:33:08,640 --> 00:33:14,100
1439
+ ุณุงูƒู†ุฏ ุนู„ู‰ ู…ุชุฑ square ูˆููŠ ุงู„ English unit ุงู„ู„ูŠ ู‡ูŠ
1440
+
1441
+ 361
1442
+ 00:33:14,100 --> 00:33:22,740
1443
+ ุงุชู†ูŠู† point ุงูˆ ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุฃุณ ุณุงู„ุจ ุฎู…ุณุฉ bound
1444
+
1445
+ 362
1446
+ 00:33:22,740 --> 00:33:31,400
1447
+ force second ุนู„ู‰ ู‚ุฏู… ู…ุฑุจุน ูˆุงู„ู‚ุทุฑ ุงู„ู…ุนุทู†ูŠ ู‡ูˆ point
1448
+
1449
+ 363
1450
+ 00:33:31,400 --> 00:33:40,050
1451
+ ุงุชู†ูŠู† ุณูุฑ ุชู„ุงุชุฉ ู…ุชุฑุชู…ุงู†ูŠุฉ ุงู†ุด ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด
1452
+
1453
+ 364
1454
+ 00:33:40,050 --> 00:33:44,870
1455
+ ุจุญูˆุงู„ูŠ ุงู„ู‚ุฏู… ุตุญ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ุจุงู„ู‚ุฏู… ุงู†ุง ุนุงุฑู
1456
+
1457
+ 365
1458
+ 00:33:44,870 --> 00:33:51,770
1459
+ ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ุจุงู„ู‚ุฏู… ุชู…ุงู†ูŠุฉ ุนู„ู‰ ุงุชู†ุงุด ู‚ุฏู… ู‡ุฐู‡
1460
+
1461
+ 366
1462
+ 00:33:51,770 --> 00:34:00,130
1463
+ ุงู†ุด ู„ูˆ ุฏูŠ ุณุงุฎู† ูˆุญุฏุงุช ู…ุชุฑูŠุฉ ุฑูˆ ู‡ุงูŠ ุฑูˆ ุชุณุนู…ูŠุฉ ุจุฏุฃุช
1464
+
1465
+ 367
1466
+ 00:34:00,130 --> 00:34:04,590
1467
+ ุงู„ูˆุญุฏุฉ ุชุณุนู…ูŠุฉ ูˆ ุชู…ุงู†ูŠุฉ ูˆุชุณุนูŠู† ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ
1468
+
1469
+ 368
1470
+ 00:34:04,590 --> 00:34:12,630
1471
+ ู…ูƒุนุจููŠ V ูˆุงุญุฏ point ุงุชู†ูŠู† ุงุชู†ูŠู† meter per second
1472
+
1473
+ 369
1474
+ 00:34:12,630 --> 00:34:24,210
1475
+ ููŠ ุงู„ู‚ุทุฑ D point ุงุชู†ูŠู† ุณูุฑ ุชู„ุงุชุฉ ู…ุชุฑ ุนู„ู‰ ุงู„ Mew
1476
+
1477
+ 370
1478
+ 00:34:24,210 --> 00:34:34,370
1479
+ ุงู„ู„ูŠ ู‡ูŠ ุชุณุนุฉ point ุณุชุฉ ุณุจุนุฉ ูุนุดุฑุฉ ุณุงู„ุจ ุงุฑุจุน in
1480
+
1481
+ 371
1482
+ 00:34:34,370 --> 00:34:38,810
1483
+ Newtonุฎู„ู‘ูŠู†ูŠ ุฎุงุทุฉ ู†ุชูŠุฌุฉ ุงูƒุชุจู‡ุง ุงุญูˆู„ู‡ุง kilogram
1484
+
1485
+ 372
1486
+ 00:34:38,810 --> 00:34:47,470
1487
+ kilogram ู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน ููŠ second ุนู„ู‰ ู…ุชุฑ
1488
+
1489
+ 373
1490
+ 00:34:47,470 --> 00:34:53,090
1491
+ ุชุฑุจูŠุน ู…ุงุดูŠ ุงู„ุงู†
1492
+
1493
+ 374
1494
+ 00:34:53,090 --> 00:34:55,810
1495
+ ู…ุถุฑุจ ุงุญู†ุง ู…ุด ู…ุดูƒู„ุฉ ุงู„ุฏุฑุจ ุจุณ ุฎู„ู‘ูŠู†ูŠ ุงุดูˆู ุงู„ูˆุญุฏุงุช
1496
+
1497
+ 375
1498
+ 00:34:55,810 --> 00:35:03,630
1499
+ ุนู†ุฏูŠ ู‡ุงูŠ kilogram ู‡ุงูŠ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุง
1500
+
1501
+ 376
1502
+ 00:35:03,630 --> 00:35:10,160
1503
+ kilogram ุฑุงุญุช ู…ู† ู‡ู†ุงุนู†ุฏูŠ ู…ุชุฑ ุฎู„ู‘ูŠู†ูŠ ุชุฑูˆุญ ู…ุน ุงู„ู…ุชุฑ
1504
+
1505
+ 377
1506
+ 00:35:10,160 --> 00:35:17,980
1507
+ ู‡ุฐู‡ ู…ุงุดูŠ ูˆู‡ุฐู‡ ู…ุชุฑ ุชู‚ุฑูŠุจุง ู…ุชุฑ ููŠู‡ุง ู…ุน ู…ุชุฑ ู‡ุงูŠ ูˆุงุญุฏุฉ
1508
+
1509
+ 378
1510
+ 00:35:17,980 --> 00:35:24,700
1511
+ ุงุชู†ุชูŠู† ุชู„ุงุชุฉ ุฑุงุญูˆุง ูˆุงู„ second ู‡ุงูŠ second ู…ุน second
1512
+
1513
+ 379
1514
+ 00:35:24,700 --> 00:35:30,560
1515
+ ูˆู‡ูŠ second ู…ุน second ู…ุนู†ุงู‡ unit less unit less
1516
+
1517
+ 380
1518
+ 00:35:30,560 --> 00:35:39,100
1519
+ ู…ุงููŠุด dimension ู„ุณู‡ ุฏู‡ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู„ุฃ
1520
+
1521
+ 381
1522
+ 00:35:39,100 --> 00:35:43,900
1523
+ ู„ุฃ ุงุชุฃูƒุฏ ู…ุงููŠุด ู…ุซู„ ู„ุฃ ู„ุฃ ุงุชุฃูƒุฏ ุงูŠ ูุงุฏุฑ ู…ุงููŠุด ู…ุซู„
1524
+
1525
+ 382
1526
+ 00:35:43,900 --> 00:35:52,320
1527
+ ู„ุฃ ูุงู‚ุถูˆุง ุจุงู„ุฑู‚ู… ุชุดูˆููˆุง ุงูŠุด ุจูŠุทู„ุน ู…ุนุงูƒู… 2551599
1528
+
1529
+ 383
1530
+ 00:35:52,320 --> 00:35:56,120
1531
+ 2551599
1532
+
1533
+ 384
1534
+ 00:35:56,120 --> 00:36:02,620
1535
+ ูˆุงู† ุณุช ุงุฑุจุน ูˆุงู† ุณุช ุงุฑุจุน ุทูŠุจ ุฎู„ูŠู†ุง ู†ุญุณุจ ู…ู† ู†ุธุงู…
1536
+
1537
+ 385
1538
+ 00:36:02,620 --> 00:36:10,410
1539
+ ุฅุญุฏุงุซ ู„ุบุฒูŠุฉูˆ ู‡ุชู„ู†ุบ Zero ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† ูˆ ุณุชูŠู† point
1540
+
1541
+ 386
1542
+ 00:36:10,410 --> 00:36:20,290
1543
+ ุชู„ุงุชุฉ pound mass ุนู„ู‰ ุงู„ู‚ุฏู… ุงู„ุชูƒูŠุจ ุตุญ ููŠ ุงู„ V ุงู„ู„ูŠ
1544
+
1545
+ 387
1546
+ 00:36:20,290 --> 00:36:28,970
1547
+ ู‡ูŠ ุงุฑุจุนุฉ ู‚ุฏู… ูƒู„ second ููŠ ุงู„ D ุงู„ู„ูŠ ู‡ูŠ ุชู…ุงู†ูŠุฉ ุนู„ู‰
1548
+
1549
+ 388
1550
+ 00:36:28,970 --> 00:36:33,550
1551
+ ุงุชู†ุงุด ู‚ุฏู… ุนู„ู‰
1552
+
1553
+ 389
1554
+ 00:36:36,080 --> 00:36:44,580
1555
+ ู…ูŠูˆ ุงุชู†ูŠู† point o ุงุชู†ูŠู† ููŠ ุนุดุฑุฉ ุงู„ุณุงู„ุจ ุงู„ุฎู…ุณุฉ
1556
+
1557
+ 390
1558
+ 00:36:44,580 --> 00:36:51,480
1559
+ pound force ุจุฏูŠ ุงุญุทู‡ุง ูƒ pound mass ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ููŠ
1560
+
1561
+ 391
1562
+ 00:36:51,480 --> 00:36:59,000
1563
+ ุงุชู†ูŠู† ูˆ ุชู„ุงุชูŠู† point ูˆุงุญุฏ ุณุจุนุฉ pound mass ููŠ ู‚ุฏู…
1564
+
1565
+ 392
1566
+ 00:36:59,000 --> 00:37:01,240
1567
+ ุนู„ู‰ second ุชุฑุจูŠุน
1568
+
1569
+ 393
1570
+ 00:37:04,180 --> 00:37:10,180
1571
+ ุนูˆู‘ุท ุนู„ู‰ ุงู„ bond force ููŠ second ุนู„ู‰
1572
+
1573
+ 394
1574
+ 00:37:10,180 --> 00:37:15,980
1575
+ ู‚ุฏู… ุชุฑุจูŠุฃ ุทูŠุจ
1576
+
1577
+ 395
1578
+ 00:37:15,980 --> 00:37:21,620
1579
+ ู‡ุงูŠ
1580
+
1581
+ 396
1582
+ 00:37:21,620 --> 00:37:26,320
1583
+ pound pass ุฑุงุญุช ู‡ุงูŠ
1584
+
1585
+ 397
1586
+ 00:37:26,320 --> 00:37:31,820
1587
+ foot ุฑุงุญุช ู…ู† ู‡ู†ุง ูˆ ุฑุงุญุช ู…ู† ู‡ู†ุง ู…ุงุดูŠ ู‡ุงูŠ ูˆุงุญุฏ ุงุช ู…ู†
1588
+
1589
+ 398
1590
+ 00:37:31,820 --> 00:37:39,110
1591
+ ู‡ู†ุง ุฑุงุญุช ุงู„ุชูƒูŠุจูˆ ู‡ุงูŠ ูุช ู‡ูŠู† ุฑุงุญ ู…ุน ุงู„ูุช ู‡ูŠู† ุนู†ุฏูŠ
1592
+
1593
+ 399
1594
+ 00:37:39,110 --> 00:37:45,090
1595
+ ู‡ูŠู† ู‡ุงูŠ second ุฑุงุญุช ู…ุน second ูˆ ู‡ุงูŠ second ุชุญุช
1596
+
1597
+ 400
1598
+ 00:37:45,090 --> 00:37:52,790
1599
+ ุฑุงุญุช ู…ุน second ู‡ูŠู† ุงุถุฑุจ ู„ู„ุฑู‚ู… ุทู„ุน ู†ูุณ
1600
+
1601
+ 401
1602
+ 00:37:52,790 --> 00:37:59,090
1603
+ ุงู„ุฑู‚ู… ู‡ูŠุทู„ุน ุชู‚ุฑูŠ ู†ูุณ ุงู„ุฑู‚ู… ุทู„ุน ุฎู„ูุงุช ุจุณูŠุทุฉ
1604
+
1605
+ 402
1606
+ 00:38:05,480 --> 00:38:11,420
1607
+ ุจุชุงู† ูˆ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู† ุฃู„ู ูˆ ุณุชู…ูŠุฉ ูˆ ุฎู…ุณุฉ ูˆ ุฎู…ุณูŠู†
1608
+
1609
+ 403
1610
+ 00:38:11,420 --> 00:38:17,980
1611
+ ุฃุฑุจุน ุงู„ู„ูŠ ุงู†ุง ุงุนุชุจุฑ ุงู† ู‡ุฐุง ู‡ูˆ ุงู„ reference ู„ูˆ ุฎุณู†ุช
1612
+
1613
+ 404
1614
+ 00:38:17,980 --> 00:38:23,520
1615
+ .. ุงุชุฑุญุช ู‡ุฐุง ู†ุงู‚ุต ู‡ุฐุง ุนู„ู‰ ู‡ุฐุง ูˆ ุถู…ู† ุงู„ูู…ูŠุฉ ุดูˆู
1616
+
1617
+ 405
1618
+ 00:38:23,520 --> 00:38:27,200
1619
+ ู†ูุณูƒ ุงู„ุฎุทุฃ ูƒู… ูŠุนู†ูŠ ุงุชุฑุญ ู‡ุฐุง ูˆ ู‡ุฐุง ุนู„ู‰ ุงู„ุฃูˆู„ุงู†
1620
+
1621
+ 406
1622
+ 00:38:27,200 --> 00:38:32,860
1623
+ ุงู„ูู…ูŠุฉ percentage error ู‡ุชูƒูˆู†
1624
+
1625
+ 407
1626
+ 00:38:32,860 --> 00:38:34,020
1627
+ ุชุณุงูˆู… ุงู„ู„ูŠ ู‡ูˆ
1628
+
1629
+ 408
1630
+ 00:38:38,350 --> 00:38:53,030
1631
+ ู…ุด ู…ู‡ู… ุงู„ุฅุดุงุฑุฉ ุงูƒู…
1632
+
1633
+ 409
1634
+ 00:38:53,030 --> 00:38:53,650
1635
+ ุชุทู„ุนุŸ
1636
+
1637
+ 410
1638
+ 00:39:05,320 --> 00:39:10,500
1639
+ point zero ุงุชู†ูŠู† ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉ ู†ูุณ ุงู„ุฎุทุฃ ูˆู„ุง ุงุดูŠ
1640
+
1641
+ 411
1642
+ 00:39:10,500 --> 00:39:13,400
1643
+ ุทุจุนุง ุงู„ุฎุทุฃ ุงู†ู‡ ู†ุชูŠุฌุฉ ุงู„ conversion ู†ุชูŠุฌุฉ ุงู„
1644
+
1645
+ 412
1646
+ 00:39:13,400 --> 00:39:17,380
1647
+ conversion ุจูŠุตูŠุฑ ู†ูุณ ุงู„ุฎุทุฃ ุจุณ ูˆุงุถุญ ุงู†ู‡ result
1648
+
1649
+ 413
1650
+ 00:39:17,380 --> 00:39:21,340
1651
+ number ููŠ ุงู„ุญุงู„ุชูŠู† ู†ูุณ ุงู„ุงุดูŠ ู„ุงู†ู‡ unit less ู…ุด
1652
+
1653
+ 414
1654
+ 00:39:21,340 --> 00:39:24,720
1655
+ unit less ูˆู…ุฒุงู„ unit less ุงูˆ dimension less ู…ู† ุงุช
1656
+
1657
+ 415
1658
+ 00:39:24,720 --> 00:39:31,220
1659
+ ู„ุงุฒู… ูŠุทู„ุน ู†ูุณ ุงู„ุฑู‚ู… ุชู‚ุฑูŠุจุง ู‡ูŠูƒ
1660
+
1661
+ 416
1662
+ 00:39:31,220 --> 00:39:35,530
1663
+ ูŠูƒูˆู† ุฎู„ุตู†ุง chapter ุงุชู†ูŠู†ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠ .. ุงู„ุงุณุจูˆุน
1664
+
1665
+ 417
1666
+ 00:39:35,530 --> 00:39:44,290
1667
+ ุงู„ุฌุงู‰ chapter ุชู„ุงุชุฉ ู‡ูŠุงุฎุฏ ุงุณุจูˆุน ูƒุงู…ู„ ุงุชู†ุงุด ู„ุฃ
1668
+
1669
+ 418
1670
+ 00:39:44,290 --> 00:39:49,530
1671
+ ู…ุด ูƒู„ู‡ ุทุจุนุง ู…ุงุดูŠุŸ ุดูƒุฑุง ุนุงููŠุฉ
1672
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/Pw2ftJRfVTg_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/QtWp6gPel80_postprocess.srt ADDED
@@ -0,0 +1,3164 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,060 --> 00:00:07,860
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,860 --> 00:00:11,960
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุชุงู†ูŠุฉ ู…ู† chapter
8
+
9
+ 3
10
+ 00:00:11,960 --> 00:00:14,060
11
+ one ุงู„ู„ูŠ ู‡ูŠ the process of measurement and
12
+
13
+ 4
14
+ 00:00:14,060 --> 00:00:20,020
15
+ overview ููŠ ุงู„ุจุฏุงูŠุฉ ู†ุฑุฌุน ุฑุฌูˆุน ุณุฑูŠุน ู„ู„ู…ุญุงุถุฑุฉ
16
+
17
+ 5
18
+ 00:00:20,020 --> 00:00:23,540
19
+ ุงู„ุณุงุจู‚ุฉ ุนุฑูู†ุง ุฅูŠุด ุงู„ measurement ุญูƒูŠู†ุง ุงู„
20
+
21
+ 6
22
+ 00:00:23,540 --> 00:00:29,520
23
+ measurement ู‡ูŠ ุฃู†ู‡ุฃู‚ุงุฑู† ุจูŠู† ูƒู…ูŠุฉ ุจุฏู‡ ุฃู‚ูŠุณู‡ุง ูˆ .. ูˆ
24
+
25
+ 7
26
+ 00:00:29,520 --> 00:00:34,860
27
+ .. ูˆ ู…ุนูŠุงุฑ ูŠุนู†ูŠ ุนุดุงู† ุฃู‚ูŠุณ ุทูˆู„ ู‚ุทุนุฉ ู…ุญุชุงุฌ ู…ุนูŠุงุฑ
28
+
29
+ 8
30
+ 00:00:34,860 --> 00:00:42,860
31
+ ู…ุญุชุงุฌ ู…ุชุฑ ู…ุญุชุงุฌ caliber ุงู„
32
+
33
+ 9
34
+ 00:00:42,860 --> 00:00:45,000
35
+ process of measurement ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ input to be
36
+
37
+ 10
38
+ 00:00:45,000 --> 00:00:50,510
39
+ measured ูˆ ููŠ ุนู†ุฏูŠ standardto be compared with
40
+
41
+ 11
42
+ 00:00:50,510 --> 00:00:54,330
43
+ ุนุดุงู† ุงู‚ุงุฑู† ููŠู‡ ูˆ ููŠ ุงู†ุฏูŠ result output ุงู„ู„ูŠ ู‡ูˆ
44
+
45
+ 12
46
+ 00:00:54,330 --> 00:01:01,290
47
+ ูŠุนู†ูŠ ุงู„ูˆุญุฏ ุงู„ู‚ูŠุงุณ ู†ูุณู‡ ุงู„ุดุบู„ุงุช
48
+
49
+ 13
50
+ 00:01:01,290 --> 00:01:03,770
51
+ ุงู„ู„ูŠ ุงุญู†ุง ู…ู‡ุชู…ูŠู† ููŠู‡ุง ููŠ ุงู„ู‡ู†ุฏุณุฉ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุญูƒูŠู†ุง
52
+
53
+ 14
54
+ 00:01:03,770 --> 00:01:09,170
55
+ ุงู„ูƒุชู„ุฉ ุงู„ุทูˆู„ ุงู„ุฒู…ู† ุงู„ุญุฑุงุฑุฉ ุงู„ force ุงู„ flow rate
56
+
57
+ 15
58
+ 00:01:09,170 --> 00:01:12,130
59
+ pressure ุงู„ velocity ุงู„ acceleration
60
+
61
+ 16
62
+ 00:01:20,030 --> 00:01:26,170
63
+ ุทุจุนุง ุงู„ู…ู‡ู… ูƒุชูŠุฑ ุงูˆ ุญูƒูŠู†ุง ุงู„ significance of
64
+
65
+ 17
66
+ 00:01:26,170 --> 00:01:30,910
67
+ mechanical measurement ุงูˆ ุงูŠ mechanical design
68
+
69
+ 18
70
+ 00:01:30,910 --> 00:01:34,030
71
+ ู…ุญุชุงุฌ ู„ุชู„ุช ุนู†ุงุตุฑ ุนู†ุตุฑ ุงู„ุฎุจุฑุงุก ุงู„ experience ูˆ ุนู†ุตุฑ
72
+
73
+ 19
74
+ 00:01:34,030 --> 00:01:38,020
75
+ ุงู„ rational ูˆ ุนู†ุตุฑ ุงู„ experimental evidenceุงู„
76
+
77
+ 20
78
+ 00:01:38,020 --> 00:01:42,220
79
+ experience ุจุชุนุชู…ุฏ .. ุงู„ุดุฎุต ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฎุจุฑุงุช ุฃูˆ ..
80
+
81
+ 21
82
+ 00:01:42,220 --> 00:01:46,240
83
+ ุงูˆ ุงู„ุณุงุจู‚ ุงูˆ ู…ุฑุช ุนู„ูŠู‡ ูˆ ุจู†ุงุก ุนู„ูŠู‡ุง ุจูŠุชุงุฎุฐ ู‚ุฑุงุฑุงุช
84
+
85
+ 22
86
+ 00:01:46,240 --> 00:01:49,740
87
+ ุงู„ rational ุจูŠุนุชู…ุฏ ุนู„ู‰ ู‚ูˆุงู†ูŠู† ุงู„ููŠุฒุง ูˆ ุงู„ุฑูŠุงุถูŠุงุช ูˆ
88
+
89
+ 23
90
+ 00:01:49,740 --> 00:01:53,400
91
+ ุงู„ูƒูŠู…ูŠุง ูˆ ุงู„ microbiology ุนุณุงุณ to model something
92
+
93
+ 24
94
+ 00:01:53,400 --> 00:01:58,060
95
+ ุงู„ experimental element ู…ุญุชุงุฌ ุงู‚ูŠุณ ุงุฎุฏ ู‚ุฑุงุกุงุช ุนุดุงู†
96
+
97
+ 25
98
+ 00:01:58,060 --> 00:02:04,140
99
+ ุงุชุฃูƒุฏ ุงู† ุงู„ุดุบู„ ุตุญ ุงูˆ ู…ุด ุตุญ ุทูŠุจ
100
+
101
+ 26
102
+ 00:02:06,540 --> 00:02:09,120
103
+ ุงุญู†ุง ุญูƒูŠู†ุง ููŠู†ุง two basic methods of measurement
104
+
105
+ 27
106
+ 00:02:09,120 --> 00:02:12,020
107
+ ููŠู†ุง ุงู„ direct comparison ูˆ ููŠ ุงู„ indirect method
108
+
109
+ 28
110
+ 00:02:12,020 --> 00:02:18,480
111
+ ููŠ ุงู„ direct comparison ุงู†ุง ู…ุจุงุดุฑุฉ ุจู‚ุงุฑู† ู…ุน ุงู„
112
+
113
+ 29
114
+ 00:02:18,480 --> 00:02:22,420
115
+ standard ุนุดุงู† ุงู‚ูŠุณ ุทูˆู„ ุงู„ุฌูˆุงู„ ุญูƒูŠ ุงู†ุง ุจุญุท ู…ุตุทุฑุฉ
116
+
117
+ 30
118
+ 00:02:22,420 --> 00:02:27,370
119
+ ุจุดูˆู ุฃูƒุง ู…ุญุฏุฉ ุนู„ู‰ ุงู„ู…ุตุทุฑุฉ ุชู‚ุงุจู„ ุงู„ุทูˆู„ ู‡ุฐุงู‡ุฐุง ูƒุงู†ุช
120
+
121
+ 31
122
+ 00:02:27,370 --> 00:02:32,770
123
+ ู…ู‚ุงุฑู†ุฉ ู…ุจุงุดุฑุฉ ููŠ ุงู„ุบูŠุฑ ู…ุจุงุดุฑ ู…ุซู„ุง ููŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ
124
+
125
+ 32
126
+ 00:02:32,770 --> 00:02:37,650
127
+ ู…ู…ูƒู† ุงู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ู…ู† ุฎู„ุงู„ ุงู„ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู„ู…ุงุฏุฉ
128
+
129
+ 33
130
+ 00:02:37,650 --> 00:02:42,590
131
+ ู…ุนูŠู†ุฉ ุงู„ู…ู‚ุงูˆู…ุฉ ุชุชุบูŠุฑ ุงูˆ ุชุบูŠุฑ ู…ู‚ุงูˆู…ุฉ ุชู†ุงุณุจ ู…ุน
132
+
133
+ 34
134
+ 00:02:42,590 --> 00:02:46,550
135
+ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุญุฑุงุฑุฉ ุนุงุฑูุด ุงู„ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุนุฑู
136
+
137
+ 35
138
+ 00:02:46,550 --> 00:02:49,670
139
+ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุญุฑุงุฑุฉ ู…ุงู†ุนุช ุจู‚ู‰ ุงู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ู‡ุฐู‡ ุงู„ู„ูŠ
140
+
141
+ 36
142
+ 00:02:49,670 --> 00:02:51,110
143
+ ู‡ูŠ ุงู„ indirect method
144
+
145
+ 37
146
+ 00:02:55,300 --> 00:02:58,360
147
+ ุจุนุฏูŠู† ุญูƒูŠู†ุง ุน ุงู„ generalized measuring system
148
+
149
+ 38
150
+ 00:02:58,360 --> 00:03:01,440
151
+ ุจุชูƒูˆู† ู…ู† ุชู„ุช ู…ุฑุญู„ stage one, stage two, stage
152
+
153
+ 39
154
+ 00:03:01,440 --> 00:03:06,760
155
+ three, stage one ุงู„ู„ูŠ ู‡ูŠ ู…ุฑุญู„ุฉ ุงู„ just sensing ุงูˆ
156
+
157
+ 40
158
+ 00:03:06,760 --> 00:03:11,280
159
+ ุงู„ detection ูˆ ุบูŠุฑ ุญุงู„ุฉ ุงู„ signal ู…ู† ุญุงู„ุฉ ู„ุญุงู„ุฉ
160
+
161
+ 41
162
+ 00:03:11,280 --> 00:03:15,470
163
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู…ุฑุญู„ุฉ ูˆ ุงู„ู…ุฑุญู„ุฉ ุงู„ุชุงู†ูŠุฉุจุนู…ู„ ู…ุนุงู„ุฌุฉ
164
+
165
+ 42
166
+ 00:03:15,470 --> 00:03:18,870
167
+ processing ุงูˆ conditioning ู„ู„ signal ู…ู…ูƒู† ุงู„
168
+
169
+ 43
170
+ 00:03:18,870 --> 00:03:21,970
171
+ conditioning ุงุนู…ู„ ุนู„ูŠู‡ุง ูู„ุชุฑุฉ ุงุดูŠุจู†ู‡ุง ุงู„ noise
172
+
173
+ 44
174
+ 00:03:21,970 --> 00:03:25,650
175
+ ู…ู…ูƒู† ุงุนู…ู„ ุนู„ูŠู‡ุง ุชูƒุจูŠุฑ amplification ู…ู…ูƒู† ุงุนู…ู„
176
+
177
+ 45
178
+ 00:03:25,650 --> 00:03:27,670
179
+ ุนู„ูŠู‡ุง integration ู…ู…ูƒู† ุนู„ูŠู‡ุง differentiation ููŠ
180
+
181
+ 46
182
+ 00:03:27,670 --> 00:03:30,750
183
+ ุนู…ู„ูŠุงุช ู…ู…ูƒู† ู†ุนู…ู„ ุนู„ูŠู‡ุง ุงู„ signal ุจุนุฏูŠู† ุงู„ stage
184
+
185
+ 47
186
+ 00:03:30,750 --> 00:03:34,830
187
+ ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูŠ ุงู„ู†ุชูŠุฌุฉ read out ุญู„ู†ุง ุงู„ two
188
+
189
+ 48
190
+ 00:03:34,830 --> 00:03:39,510
191
+ examples ุญู„ู†ุง
192
+
193
+ 49
194
+ 00:03:39,510 --> 00:03:39,930
195
+ ุงู„ู„ูŠ ู‡ูŠ
196
+
197
+ 50
198
+ 00:03:43,690 --> 00:03:49,190
199
+ ุงู„ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู… ููŠู‡ ู‚ูŠุงุณ ุงู„ุถุบุท ุงู„ tires ู‡ุฐุง ูƒุงู†
200
+
201
+ 51
202
+ 00:03:49,190 --> 00:03:53,230
203
+ example ู…ุจุงุดุฑ ุนุดุงู† ู†ุดูˆู ู‡ู„ ุงุญู†ุง ููŠู†ุง ุชู„ุงุชุฉ stages
204
+
205
+ 52
206
+ 00:03:53,230 --> 00:03:56,750
207
+ ูˆ ู„ุง ููŠุด ุชู„ุงุชุฉ stages ุจุนุฏูŠู† ุงู„ู…ุซุงู„ ุงู„ุชุงู†ูŠ ุดูˆูู†ุง
208
+
209
+ 53
210
+ 00:03:56,750 --> 00:04:01,230
211
+ ูƒูŠู ู‚ูŠุงุณ ุณุฑุนุฉ ุงู„ุณูŠุงุฑุฉ ู…ุงุฑูŠู†ุง ุจุงู„ stage one ูˆ stage
212
+
213
+ 54
214
+ 00:04:01,230 --> 00:04:04,110
215
+ two ูˆ stage three ูŠุนู†ูŠ ูุตู„ู†ุง ููŠ ุงู„ .. ููŠ ุงู„
216
+
217
+ 55
218
+ 00:04:04,110 --> 00:04:04,450
219
+ example
220
+
221
+ 56
222
+ 00:04:08,600 --> 00:04:14,100
223
+ ู„ุญุฏ ู‡ู†ุง ู…ูˆุตู„ู†ุง ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุงู„ุงู† types of input
224
+
225
+ 57
226
+ 00:04:14,100 --> 00:04:18,420
227
+ quantities ุงู„ุงู†
228
+
229
+ 58
230
+ 00:04:18,420 --> 00:04:24,740
231
+ ุงู„ูƒูŠู…ูŠุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ู…ู…ูƒู†
232
+
233
+ 59
234
+ 00:04:24,740 --> 00:04:28,040
235
+ ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุฒู…ู† ุงูˆ ู„ุง ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุฒู…ู† ูŠุนู†ูŠ ู…ู…ูƒู†
236
+
237
+ 60
238
+ 00:04:28,040 --> 00:04:32,620
239
+ ุชูƒูˆู† ุซุงุจุชุฉ ู…ุน ุงู„ุฒู…ู† ุงูˆ ู…ุชุบูŠุฑุฉ ู…ุน ุงู„ุฒู…ู† ูŠุนู†ูŠ ุงูŠ
240
+
241
+ 61
242
+ 00:04:32,620 --> 00:04:38,770
243
+ ูƒูŠู…ูŠุฉ ู…ุซู„ุง ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุฃูˆ ุงู„ force ููŠ ุงู„ spring ..
244
+
245
+ 62
246
+ 00:04:38,770 --> 00:04:42,270
247
+ ุงู„ spring ุงู„ู„ูŠ ููŠ ุงู„ู†ุธุงู… ุงู„ุชุญ .. ุงู„ .. ุงู„ุชุนู„ูŠู‚ ููŠ
248
+
249
+ 63
250
+ 00:04:42,270 --> 00:04:47,130
251
+ ุงู„ุณูŠุงุฑุฉ ุทุจุนุง ุจูŠูƒูˆู† ุงู„ .. ุงู„ .. ุงู„ force ู…ุชุบูŠุฑ ุฅุฐุง
252
+
253
+ 64
254
+ 00:04:47,130 --> 00:04:50,470
255
+ ุฃู†ุง ู…ุงุดูŠ ุฃูู‚ ุทู„ุนุช ุทู„ุนุชุŒ ุฃู†ุฒู„ุช ููŠ ู…ุทุงุจุŒ ุฃู†ุฒู„ุช ููŠ
256
+
257
+ 65
258
+ 00:04:50,470 --> 00:04:56,270
259
+ ู…ุทุงุจ ุฎููŠูุŒ ู…ุทุงุจ ุฌุงู…ุฏุŒ ูุงู„ force ุจุชุชุบูŠุฑ ููŠู‡ ุทุจุนุง ุงู„
260
+
261
+ 66
262
+ 00:04:56,270 --> 00:05:00,730
263
+ data ุจุชูƒูˆู† static .. static data ูŠุนู†ูŠ constant in
264
+
265
+ 67
266
+ 00:05:00,730 --> 00:05:02,570
267
+ time .. constant in time
268
+
269
+ 68
270
+ 00:05:06,920 --> 00:05:11,740
271
+ ูŠุนู†ูŠ ุงู†ุง ุงุนู…ู„ ุชูƒูŠูŠู ู„ุบุฑูุฉ ุงู†ุง ุนู„ู‰ ุนุดุฑูŠู† ุฏุฑุฌุฉ ููŠ
272
+
273
+ 69
274
+ 00:05:11,740 --> 00:05:15,180
275
+ ุงู„ุจุฏุงูŠุฉ ุจุชูƒูˆู† ู…ุซู„ุง ุญุฑุงุฑุฉ .. ุญุฑุงุฑุฉ ุงู„ุบุฑูุฉ ู…ุฎูุถุฉ ูˆ
276
+
277
+ 70
278
+ 00:05:15,180 --> 00:05:18,840
279
+ ุจุนุฏูŠู† ุจุตู„ู‡ุง ุญุงู„ุฉ steady state ู…ุฌุฑุฏ ูˆุตูˆู„ู‡ุง ู„ steady
280
+
281
+ 71
282
+ 00:05:18,840 --> 00:05:21,700
283
+ state ู‡ุชุจู‚ู‰ ุฏู„ูˆู‚ุชูŠ ุญุฑุงุฑุฉ ุซุงุจุชุฉ constant with time
284
+
285
+ 72
286
+ 00:05:21,700 --> 00:05:26,620
287
+ ู‡ุฐุง ุงูŠุด static ููŠ dynamic .. dynamic ูŠุนู†ูŠ ู…ุชุบูŠุฑุฉ
288
+
289
+ 73
290
+ 00:05:26,620 --> 00:05:32,420
291
+ ุงู„ุชุบูŠุฑ ู…ู…ูƒู† ูŠูƒูˆู† periodic ุฒูŠ ู…ุซู„ุง ุงู„ frequency
292
+
293
+ 74
294
+ 00:05:32,420 --> 00:05:44,300
295
+ ุจุชุงุน ุงู„ูƒู‡ุฑุจุง ุณุชูŠู† ู‡ูŠุฑุชุฒุจุชุบูŠุฑ ุจุดูƒู„ ุฏูˆุฑูŠ ุตุญ
296
+
297
+ 75
298
+ 00:05:44,300 --> 00:05:55,320
299
+ ู…ุชุบูŠุฑ ุจุณ ููŠ ุชูƒุฑุงุฑ ุชุบูŠุฑ ุงูŠู‡ ู…ุด ู…ุชูƒุฑุฑ periodic
300
+
301
+ 76
302
+ 00:05:55,320 --> 00:06:03,820
303
+ ุจุณ ุงูƒุชุฑ ุชุนู‚ูŠุฏุง ู„ูˆ ุฎุฏู†ุง ู…ุซู„ุง ู‡ุฐุง
304
+
305
+ 77
306
+ 00:06:03,820 --> 00:06:09,000
307
+ ุจุฑุถู‡ periodicุฒูŠ ู…ุซู„ุง ู†ุจุถ ุงู„ู‚ู„ุจ ุจุชุบูŠุฑ ุจุทุฑูŠู‚ุฉ ูŠุงุด
308
+
309
+ 78
310
+ 00:06:09,000 --> 00:06:17,100
311
+ ู…ุชูƒุฑุฑุฉ ุจุณ ุงุฎุชู„ู ุดูƒู„ ูŠุงุด ุงู„ู…ูˆุฌุฉ ููŠู‡ ุชูƒุฑุงุฑ ููŠู‡ non
312
+
313
+ 79
314
+ 00:06:17,100 --> 00:06:22,740
315
+ periodic ุงู„ non periodic ูŠุนู†ูŠ ู…ุซู„ุง ู„ูˆ ุงู†ุง ุฎุจุทุช ุนู„ู‰
316
+
317
+ 80
318
+ 00:06:22,740 --> 00:06:28,000
319
+ ุงู„ู„ูˆุญ ุตุงุฑ ุนู†ุฏูŠ signal ู‡ูŠู† ุตุงุฑ ู‡ูŠู† ุงูƒูŠุฏ ููŠู‡
320
+
321
+ 81
322
+ 00:06:28,000 --> 00:06:32,260
323
+ ุงู‡ุชุฒุงุฒุงุช ูุงู„ signal ุจุฏุช ู…ุซู„ุง ู‡ูŠู† ุงู„ deformation
324
+
325
+ 82
326
+ 00:06:32,260 --> 00:06:34,320
327
+ ุจุฏุช ูŠุฌูŠ ุฒูŠ ู‡ูŠูƒ
328
+
329
+ 83
330
+ 00:06:39,350 --> 00:06:46,590
331
+ ู…ุธู„ูˆุทุŸ ูู‡ุฏ ุงู„ู„ูŠ ู‡ูŠ ุจุชูƒูˆู† single pulse ูˆ ุจุชูƒูˆู†ุด
332
+
333
+ 84
334
+ 00:06:46,590 --> 00:06:55,270
335
+ ู…ุชูƒุฑุฑุฉ ูู‰ continuous ุจุณ ุนุดูˆูŠุฉ continuous ุนุดูˆูŠุฉ
336
+
337
+ 85
338
+ 00:07:07,390 --> 00:07:13,470
339
+ ูƒุงู†ุช continuous ุจุณ ู…ุด ุงู†ุชุธุงู… ุนุดูˆุงุฆูŠุฉ ูŠุนู†ูŠ ูƒุงู† ุฃุณู‡ู„
340
+
341
+ 86
342
+ 00:07:13,470 --> 00:07:24,610
343
+ ู…ุซุงู„ ู„ูˆ ุฃุฎุฏุช ู†ุธุงู… ุงู„ุชุนู„ูŠู‚ ู„ .. ู„ุณูŠุงุฑุฉ ู‚ุตุฏ ู…ุจุงุฑูƒ
344
+
345
+ 87
346
+ 00:07:24,610 --> 00:07:25,330
347
+ ุชุนุงู„ู‰ ุงู„ุณูŠุงุฑุฉ
348
+
349
+ 88
350
+ 00:07:36,350 --> 00:07:40,910
351
+ ุจู†ุญูƒูŠ ู‡ุงูŠ ุงู„ุฒู…ุจุงุฑูƒุฉ ู‡ูŠู† ู‡ุถู„ู‡ุง ููŠ ุงู„ุฒู…ุจุงุฑูƒุฉ ู‡ุฐุง
352
+
353
+ 89
354
+ 00:07:40,910 --> 00:07:47,090
355
+ ุจูŠูƒูˆู† ุงู„ force ุฃูˆ displacement ุงู„ู„ูŠ ุฒุงู‡ุฉ ุนู„ูŠู‡
356
+
357
+ 90
358
+ 00:07:47,090 --> 00:07:52,670
359
+ ู…ุชุบูŠุฑุฉ ุงุฐุง ุงู†ุง ู…ุงุดูŠ ุนู„ู‰ ุทุฑูŠู‚ ู…ุณุชูˆูŠ ุจุณุฑุนุฉ ุงุดุฑูŠู†
360
+
361
+ 91
362
+ 00:07:52,670 --> 00:07:55,770
363
+ ูƒูŠู„ูˆู…ุชุฑ ุจุงู„ุณุงุนุฉ ู…ุฎุชู„ู ุงู„ deflection ู„ูˆ ูƒู†ุช ุนู„ู‰
364
+
365
+ 92
366
+ 00:07:55,770 --> 00:08:01,730
367
+ ุณุฑุนุฉ ู…ูŠุฉ ุงู†ุฒู„ุช ุนู„ู‰ ู…ุทุจ ุงู„ู…ุทุจ ุจู‚ุนุฏ ููŠู‡ุง ู†ูˆุน ูƒุชูŠุฑ
368
+
369
+ 93
370
+ 00:08:01,730 --> 00:08:08,830
371
+ ู…ู…ูƒู† ู…ุทุจ ุจูŠุฌูŠ ุฒูŠ ู‡ูŠูƒ ู†ุนู…ู…ู…ูƒู† ู…ุทุจ ุนุงู„ูŠ ูƒุชูŠุฑ ู…ู…ูƒู†
372
+
373
+ 94
374
+ 00:08:08,830 --> 00:08:16,030
375
+ ู…ุทุจ ู„ู„ุชุญุช ู…ู…ูƒู† ุจุฑุถู‡ ุนู†ุฏ ุงู„ู„ูุงุช ุนู†ุฏ ุงู„ู„ูุงุช ุจูŠูƒูˆู†
376
+
377
+ 95
378
+ 00:08:16,030 --> 00:08:23,690
379
+ ููŠู‡ ุถุบุท ุนู„ู‰ ุนุฌู„ ุงูƒุชุฑ ู…ู† ุงู„ุชุงู†ูŠ ูุจุชูƒูˆู† ุงู„ wave ุงูˆ
380
+
381
+ 96
382
+ 00:08:23,690 --> 00:08:30,270
383
+ ุงู„ displacement ู…ุชุบูŠุฑุฉ ุจุงู„ุฒู…ู† ุจุทุฑูŠู‚ุฉ ุบูŠุฑ ู…ู†ุชุธุฑุฉ
384
+
385
+ 97
386
+ 00:08:30,270 --> 00:08:37,150
387
+ ู…ู…ูƒู† ุญุฏ ู…ุฑูŠุถ ู…ุฑูŠุถ ุนู†ุฏู‡ ู…ุฑุถ ููŠ ุงู„ู‚ู„ุจุงู„ู†ุจุถุงุช ุงู„ ..
388
+
389
+ 98
390
+ 00:08:37,150 --> 00:08:39,550
391
+ ุงู„ wave ุงู„ู„ูŠ ุทุงู„ุน ู…ู† ุงู„ู‚ู„ุจ ู…ุด ู…ู†ุชุธุฑุฉ ู…ุงุจุชูƒูˆู†ุด
392
+
393
+ 99
394
+ 00:08:39,550 --> 00:08:44,050
395
+ ุตุญูŠุญุฉุŒ ู„ูŠู‡ุง ู…ุดูƒู„ุฉ ูุงู„ุทุจูŠุจ ุงู„ู„ูŠ ุจูŠุดุฎุต ุจุฑูŠุถ ุฒูŠูƒ
396
+
397
+ 100
398
+ 00:08:44,050 --> 00:08:49,310
399
+ ุจุชุทู„ุน ุนู„ูŠุงุด ุชู‚ุทูŠุท ุงู„ู‚ู„ุจ ู„ุฅู† ู…ู† ุงู„ behavior ุจุชุงุน ุงู„
400
+
401
+ 101
402
+ 00:08:49,310 --> 00:08:52,750
403
+ wave ุจูŠุนุฑู ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ุนู†ุฏู‡ ุฃูˆ ู…ู…ูƒู† ูŠู‚ุฏุฑ ุฃูˆ ูŠุดุฎุต
404
+
405
+ 102
406
+ 00:08:52,750 --> 00:08:57,550
407
+ ุงู„ุญุงู„ุฉ ูˆุงุถุญ ุฅู†ู‡ ู…ุงููŠุด ุงู„ .. ูŠุนู†ูŠ ุงู„ู†ุจุถ ุฃูˆ ุงู„ wave
408
+
409
+ 103
410
+ 00:08:57,550 --> 00:08:58,930
411
+ ุจุชุงุนุฉ ุงู„ .. ู…ุด ุทุจูŠุนูŠุฉ
412
+
413
+ 104
414
+ 00:09:02,240 --> 00:09:04,380
415
+ ุจุนูƒุณู†ุง ุงู„ data ู…ู…ูƒู† ุชูƒูˆู† constant in time ุงู„ู„ูŠ ู‡ูŠ
416
+
417
+ 105
418
+ 00:09:04,380 --> 00:09:07,040
419
+ static ู…ู…ูƒู† ุชูƒูˆู† dynamic ูŠุนู†ูŠ varying with time
420
+
421
+ 106
422
+ 00:09:07,040 --> 00:09:11,200
423
+ ูˆุฅุฐุง ูƒุงู†ุช dynamic ู…ู…ูƒู† ุชูƒูˆู† steady state periodic
424
+
425
+ 107
426
+ 00:09:11,200 --> 00:09:15,920
427
+ ู…ุชูƒุฑุฑ ุจุดูƒู„ ู…ู†ุชุธู… ู…ู…ูƒู† ุชูƒูˆู† single pulse ุงูˆ
428
+
429
+ 108
430
+ 00:09:15,920 --> 00:09:21,240
431
+ epiperiodic ุงูˆ continuing random ู…ุณุชู…ุฑุฉ ุจุณ ุฅูŠู‡ุงุด
432
+
433
+ 109
434
+ 00:09:21,240 --> 00:09:27,100
435
+ ููŠู‡ุง ุนุดูˆุงุฆูŠุฉ static
436
+
437
+ 110
438
+ 00:09:27,100 --> 00:09:30,000
439
+ measurement is the most easily measured ุงู„ .. ุงู„
440
+
441
+ 111
442
+ 00:09:30,000 --> 00:09:37,320
443
+ .. ุงู„ .. ุงู„ูƒู…ูŠุงุช ุงู„ุซุงุจุชุฉูƒู…ูŠุงุช ุซุงุจุชุฉ ูƒูŠุงุณุฉ ุณู‡ู„ ู„ุฅู†
444
+
445
+ 112
446
+ 00:09:37,320 --> 00:09:40,800
447
+ ุฃู†ุง ุจุงุฎุฏ ู‚ุฑุงู‡ุง ูˆ ุจุจุญุซูˆุง ุนู„ู‰ ุซุจุงุช ููŠ ุงู„ู‚ุฑุงู‡ุง ุจุญุซูˆุง
448
+
449
+ 113
450
+ 00:09:40,800 --> 00:09:49,480
451
+ ุนู„ู‰ ุซุจุงุช ููŠ ุงู„ู‚ุฑุงู‡ุง ุงู„
452
+
453
+ 114
454
+ 00:09:49,480 --> 00:09:54,560
455
+ dynamic readings ููŠ ูƒุชุงุจ ุงู„ุฃุญูŠุงู† ุจูŠูƒูˆู† ุงู„ุชุบูŠุฑ ููŠู‡ุง
456
+
457
+ 115
458
+ 00:09:54,560 --> 00:10:01,540
459
+ ุณุฑูŠุน ุฌุฏุงูŠุนู†ูŠ ุงุฐุง ุงู†ุง ุจู‚ูŠุณ ุณุฑุนุฉ ุฌุณู… ู…ุชุญุฑูƒ ูˆุงู„ุณุฑุนุฉ
460
+
461
+ 116
462
+ 00:10:01,540 --> 00:10:06,100
463
+ ุจุชุชุบูŠุฑ ุจุดูƒู„ ูƒุจูŠุฑ ุฌุฏุง ูŠุนู†ูŠ ุจุฏูƒ ุงู„ู†ุธุงู… ุงู„ response
464
+
465
+ 117
466
+ 00:10:06,100 --> 00:10:11,060
467
+ ุงู„ู†ุธุงู… ุงู„ุชุญูƒู… ุงูˆ ุงู„ู‚ุฑุงุกุงุช ูŠูƒูˆู† ุฑุฏุฏ ูุนู„ู‡ ุณุฑูŠุน ุฌุฏุง ูˆ
468
+
469
+ 118
470
+ 00:10:11,060 --> 00:10:14,140
471
+ ูŠุงุฎุฏ ู‚ุฑุงุกุงุช ุจุดูƒู„ ูƒุจูŠุฑ ุนุดุงู† ุงุชุจุนู‡ุง ู„ูƒู† ุจุงู„ุนูŠู†
472
+
473
+ 119
474
+ 00:10:14,140 --> 00:10:16,840
475
+ ุงู„ู…ุฌุฑุฏุฉ ุงู†ุง ูƒุงุญุณุงุณ ูƒุฅู†ุณุงู† ู…ู…ูƒู† ู…ุงู„ุงุญุธู‡ุงุด ุจุดูˆู
476
+
477
+ 120
478
+ 00:10:16,840 --> 00:10:21,810
479
+ ุฃุฑู‚ุงู… ุจุชุชุบูŠุฑ ูˆ ุชุทู„ุน ูˆ ุชู†ุฒู„ ุฅูŠุด ุจุณุฑุนุฉุงู„ู€ Dynamic
480
+
481
+ 121
482
+ 00:10:21,810 --> 00:10:26,170
483
+ data ุฃูˆ ุงู„ู‚ูŠุงุณุงุช ุงู„ุฏูŠู†ุงู…ูŠูƒูŠุฉ ู‡ูŠ ู‚ูŠุงุณุฉ ุจูŠุบู„ุจ ูˆูŠุจุฏูˆ
484
+
485
+ 122
486
+ 00:10:26,170 --> 00:10:33,710
487
+ ุฃู†ุธู…ุฉ ุงู„ุชุญูƒู… ูƒูˆูŠุณุฉ ุทูŠุจ
488
+
489
+ 123
490
+ 00:10:33,710 --> 00:10:38,050
491
+ ูุงู† ุงู„ two general forms of dynamic input are
492
+
493
+ 124
494
+ 00:10:38,050 --> 00:10:43,190
495
+ possible ูุงู† ุฏูŠ ุญูƒูŠู†ุง steady state periodic input
496
+
497
+ 125
498
+ 00:10:43,190 --> 00:10:47,750
499
+ whose magnitude has definite repeating ุทุจุนุง ู‡ุฐู‡
500
+
501
+ 126
502
+ 00:10:47,750 --> 00:10:48,990
503
+ ู‡ุฐู‡ steady state
504
+
505
+ 127
506
+ 00:10:53,380 --> 00:10:58,620
507
+ ุตุญ ู…ุชุบูŠุฑ ุชุชุบูŠุฑ ู…ุน ุงู„ุฒู…ุงู† ู„ูƒู† ููŠ ุชูƒุฑุงุฑ ูŠุนู†ูŠ ู‡ูŠ ูˆุงุญุฏ
508
+
509
+ 128
510
+ 00:10:58,620 --> 00:11:05,960
511
+ ู‡ูŠ ุงุชูƒุฑุช ู‡ูŠ ุงุชู†ูŠู† ู‡ูŠ ุชู„ุงุชุฉ ูˆู‡ุง ูƒุฐุง ูุฏูˆุฑูŠุฉ ุนู†ุฏ ู‡ุฐู‡
512
+
513
+ 129
514
+ 00:11:05,960 --> 00:11:09,760
515
+ ุงู„ุญุงู„ุฉ ู†ุจุถ ุฒูŠ ู‡ุฐู‡ ุตุญ ุงู„ shape ุจุชุงุน ุงู„ signal
516
+
517
+ 130
518
+ 00:11:09,760 --> 00:11:14,880
519
+ complex ุจุณ ููŠู‡ุง repetition ููŠุนูŠุด ุชูƒุฑุงุฑ
520
+
521
+ 131
522
+ 00:11:21,210 --> 00:11:26,990
523
+ ููŠ ุนู†ุฏ ุงู„ transient input .. transient input ุนู†ุฏูŠ
524
+
525
+ 132
526
+ 00:11:26,990 --> 00:11:31,510
527
+ ู‡ู†ุง ู„ุงุญุธูˆุง ู‡ู†ุง ููŠ ุนู†ุฏ ุงู„ signal ุตุงุฑ ุฅุดูŠ ู…ุง ูุฌุฃุฉ ..
528
+
529
+ 133
530
+ 00:11:31,510 --> 00:11:39,790
531
+ ุฅุดูŠ ู…ุง ูุฌุฃุฉ ูŠุนู†ูŠ ู…ุซู„ุง ู„ุงุฒู… ุฃุญูƒุชู„ูƒ ุฃู† ุฃู†ุง ู…ู…ูƒู† ุฃุนู…ู„
532
+
533
+ 134
534
+ 00:11:39,790 --> 00:11:44,670
535
+ ุตูˆุช ู…ูˆุฏูŠ .. ู…ูˆุฏูŠ ุตูˆุชูŠุฉ
536
+
537
+ 135
538
+ 00:11:49,250 --> 00:11:53,970
539
+ ุตุงุฑ ุนู†ุฏูŠ ุงู‡ุชุฒุงุฒ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ูˆู…ุงุช ุจุณุฑุนุฉ ุนู†ุฏูŠ
540
+
541
+ 136
542
+ 00:11:53,970 --> 00:11:58,350
543
+ wave ุชุงู†ูŠุฉ ู‡ู†ุง ู„ุงุญุธูˆุง
544
+
545
+ 137
546
+ 00:11:58,350 --> 00:12:02,110
547
+ ู…ุงููŠุด ุชูƒุฑุงุฑ ูŠุนู†ูŠ ุงู„ุดูƒู„ ู…ุด ู…ู†ุชุธู… ูˆู…ุงููŠุด ุชูƒุฑุงุฑ ู‡ุฐู‡
548
+
549
+ 138
550
+ 00:12:02,110 --> 00:12:08,690
551
+ ุงู„ุณู…ุงูŠุฉ transient ููŠ ุจุฏุงูŠุฉ ุงูŠ ุชุดุบูŠู„ ููŠ ุจุฏุงูŠุฉ ุชุดุบูŠู„
552
+
553
+ 139
554
+ 00:12:08,690 --> 00:12:13,570
555
+ ุงูŠ ุฌู‡ุงุฒ ู„ูˆ ุฏู‡ ุดุบู„ ู‡ูˆุงูŠุฉ ุชุจุฏุฃุด ุชุตู„ุด ู„ุณุฑุนุฉ ุงู†ู‡ูŠุฉ
556
+
557
+ 140
558
+ 00:12:13,570 --> 00:12:15,810
559
+ ุจุดูƒู„ ููˆุฑูŠ ุชุจุฏุฃ
560
+
561
+ 141
562
+ 00:12:21,400 --> 00:12:31,260
563
+ ู‡ุฐู‡ ุงู„ุณุฑุนุฉ ู‡ุฐู‡ ุงู„ูุชุฑุฉ ุดูˆ ุณู…ูŠู‡ุงุŸ transient ู‡ุฐู‡
564
+
565
+ 142
566
+ 00:12:31,260 --> 00:12:39,560
567
+ ุงู„ูุชุฑุฉ ุฅูŠุดุŸ steady state ูƒุชูŠุฑ
568
+
569
+ 143
570
+ 00:12:39,560 --> 00:12:46,340
571
+ ููŠ ุฃู†ุธู…ุฉ ุงู„ control ู„ู…ุง ุจุงุฎุฏ signal ุญุชุฉ ุจุชูƒูˆู† ุงุดูŠ
572
+
573
+ 144
574
+ 00:12:46,340 --> 00:12:47,400
575
+ ุฒูŠ ู‡ูŠูƒ ุฌุงูŠุฉ
576
+
577
+ 145
578
+ 00:12:55,200 --> 00:12:58,020
579
+ ุจุชุณูู„ ู„ maximum ูˆ ุจุนุฏูŠู† ุจุชุฏุจ ุฏุจ ู„ุญุฏ ู…ุง ุชุตูŠุฑ
580
+
581
+ 146
582
+ 00:12:58,020 --> 00:13:02,440
583
+ constant ุฒูŠ ุฃูˆู„ ู…ุง ุชุดุบู„ ุฃูŠ ุฌู‡ุงุฒ ููŠ ุงู„ูƒู‡ุฑุจุง ุจูŠุตูŠุฑ
584
+
585
+ 147
586
+ 00:13:02,440 --> 00:13:08,460
587
+ ุงู„ู„ูŠ ุงู„ุทูŠุงุฑ ุจุชุทู„ุน ุนุงู„ูŠ ูˆ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ุซุงุจุณ ูุชุฑุฉ
588
+
589
+ 148
590
+ 00:13:08,460 --> 00:13:15,100
591
+ ุซุจุงุช ุจุชุตูŠุฑ ููˆุฑูŠ ุจุฑุถู‡ ุจูŠุตูŠุฑ ุชุฏุจ ุฏุจ ุจุนุฏูŠู† ุจุชุณุชู‚ุฑ
592
+
593
+ 149
594
+ 00:13:15,100 --> 00:13:20,120
595
+ ูุชุฑุงุช ู‡ุฐู‡ ุจุณู…ูŠู‡ุง ุงูŠุด ู‡ุฐู‡ transient ูˆู‡ุฐู‡ steady
596
+
597
+ 150
598
+ 00:13:20,120 --> 00:13:20,560
599
+ state
600
+
601
+ 151
602
+ 00:13:33,070 --> 00:13:36,850
603
+ an example of a pulsed transient quantity is
604
+
605
+ 152
606
+ 00:13:36,850 --> 00:13:39,510
607
+ acceleration-time relationship accompanying an
608
+
609
+ 153
610
+ 00:13:39,510 --> 00:13:43,470
611
+ isolated mechanical impact ุงูŠ ุตุฏู…ุฉ ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุตุฏู…ุฉ
612
+
613
+ 154
614
+ 00:13:43,470 --> 00:13:47,790
615
+ ุงุดุฉ ุจุชุนู…ู„ acceleration ููŠ ุงูƒุณู„ุงุฑูŠุดู† ู„ุณุทุญ ุจุณ ููŠ
616
+
617
+ 155
618
+ 00:13:47,790 --> 00:13:53,250
619
+ ุชุบูŠุฑุงุช ุจุชุงุฎุฏ ุงู„ุดูƒู„ ู‡ุฐุง ูˆ
620
+
621
+ 156
622
+ 00:13:53,250 --> 00:13:55,410
623
+ ุจุนุฏูŠู† ุจุชู…ูˆุช ุงู„ wave
624
+
625
+ 157
626
+ 00:13:59,760 --> 00:14:03,220
627
+ ุงู„ุงู†ุจูˆุชูŠูƒูˆุงู†ุชุฒ ุจุชูƒูˆู† analog its signals ุจุชูƒูˆู†
628
+
629
+ 158
630
+ 00:14:03,220 --> 00:14:08,000
631
+ analog signal ุงูˆ digital signal analog ุงูˆ digital
632
+
633
+ 159
634
+ 00:14:08,000 --> 00:14:11,640
635
+ most
636
+
637
+ 160
638
+ 00:14:11,640 --> 00:14:17,900
639
+ measurements ู…ุนุธู… ุงู„ูƒู…ูŠุงุช ุงู„ู„ุชูŠ ุชู… ู‚ูŠุงุณู‡ุง vary in
640
+
641
+ 161
642
+ 00:14:17,900 --> 00:14:22,990
643
+ time in a continuous mannerูŠุนู†ูŠ ุฅุฐุง ุงู„ุณูŠุงุฑุฉ ู…ุงุดูŠุฉ
644
+
645
+ 162
646
+ 00:14:22,990 --> 00:14:26,990
647
+ ุณุฑุนุชู‡ุง ุจุชุชุบูŠุฑุด ุนู„ู‰ ุดูƒู„ ู†ุจุถุงุชุŒ ุจุชูƒูˆู† ู…ุซู„ุง ู…ุงุดูŠุฉ ุนู„ู‰
648
+
649
+ 163
650
+ 00:14:26,990 --> 00:14:34,030
651
+ ุณุฑุนุฉ ุชู„ุงุชูŠู†ุŒ ุจุนุฏูŠู† ูุฌุฃุฉ ุจุชุตูŠุฑ ุฎู…ุณ ุชู„ุงุชูŠู†ุŒ ุจุนุฏูŠู†
652
+
653
+ 164
654
+ 00:14:34,030 --> 00:14:38,630
655
+ ุฃุฑุจุนูŠู†ุŒ ู„ุฃ ู‡ูŠ ุจุชูƒูˆู† ุชู„ุงุชูŠู† ูˆ ุจุชุฒูŠุฏ ุดูˆูŠุฉุŒ ุชู„ุงุชูŠู†ุŒ
656
+
657
+ 165
658
+ 00:14:38,630 --> 00:14:42,930
659
+ ุฎู…ุณ ุชู„ุงุชูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุฎู…ุณูŠู† ูˆ ู‡ูƒุฐุงุŒ ุจุชุตูŠุฑุด ุนู„ู‰ ุดูƒู„
660
+
661
+ 166
662
+ 00:14:42,930 --> 00:14:48,520
663
+ ู‚ูุฒุงุชูู‡ุฐุง ูŠุณู…ู‰ analog signal analog signal ุฃู†ุง
664
+
665
+ 167
666
+ 00:14:48,520 --> 00:14:53,580
667
+ ุจุฃุฑุตุฏ ุจุฃุฑุตุฏ ุชุบูŠุฑ ุงู„ูƒูŠู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณุง ู…ุน ุงู„ุฒู…ู†
668
+
669
+ 168
670
+ 00:14:53,580 --> 00:14:58,800
671
+ ุจุดูƒู„ ู…ุณุชู…ุฑ ูˆ ุจุดูƒู„ ู†ุงุนู… ูŠุนู†ูŠ ุงู„ุนู…ู„ูŠุฉ ุงู„ุชู†ู‚ู„ ุจุชูƒูˆู†ุด
672
+
673
+ 169
674
+ 00:14:58,800 --> 00:15:04,120
675
+ ุน ุดูƒู„ increments ุจุชูƒูˆู† ุนู…ู„ูŠุฉ ุงู„ุชุบูŠุฑ ู…ุณุชู…ุฑุฉ
676
+
677
+ 170
678
+ 00:15:04,120 --> 00:15:09,560
679
+ continuous ุฒูŠ ู…ุง ุญูƒูŠู†ุง speed of automobile ุณุฑุนุฉ
680
+
681
+ 171
682
+ 00:15:09,560 --> 00:15:13,220
683
+ ุงู„ุณูŠุงุฑุฉ as it starts from rest ุชุจุฏุฃ ุงู„ุณูŠุงุฑุฉ ู…ู†
684
+
685
+ 172
686
+ 00:15:13,220 --> 00:15:17,770
687
+ ุงู„ุณูƒูˆู†Has some magnitude at every instant during
688
+
689
+ 173
690
+ 00:15:17,770 --> 00:15:23,010
691
+ its motionุŒ ูŠู…ุดูŠ ุงู„ุณูŠุงุฑุฉ ุจุชุณุฑุนุŒ ุจุชุฒูŠู‡ ุณุฑุนุชู‡ุง ุจุดูƒู„
692
+
693
+ 174
694
+ 00:15:23,010 --> 00:15:27,450
695
+ ุชุฏุฑูŠุฌูŠุŒ ุจุจุทุกุŒ ุจุชู†ุฒู„ ู„ู„ุณุฑุนุฉ ุจุดูƒู„ ุชุฏุฑูŠุฌูŠุŒ ู‡ุฐุง ุจูŠุณู…ูŠู‡
696
+
697
+ 175
698
+ 00:15:27,450 --> 00:15:32,550
699
+ analog A sensor that responds to velocityุŒ ุฅุฐุง
700
+
701
+ 176
702
+ 00:15:32,550 --> 00:15:37,450
703
+ ุนู†ุฏูŠ ู…ุฌุณ ุจุชุฌุงูˆุจ ู…ุน ุจู‚ู„ูŠุตุฉ ุงู„ุณุฑุนุฉwill produce an
704
+
705
+ 177
706
+ 00:15:37,450 --> 00:15:42,850
707
+ output signal having a timing variation analogous
708
+
709
+ 178
710
+ 00:15:42,850 --> 00:15:47,070
711
+ to time changed in auto's speed ุงู„ signal ุงู„ู„ูŠ ุงู†ุง
712
+
713
+ 179
714
+ 00:15:47,070 --> 00:15:53,450
715
+ ุจุงุฎุฏู‡ุง ู„ู„ุชุบูŠุฑ ููŠ ุงู„ุณุฑุนุฉ ุจุชูƒูˆู† continuous ูู‡ูŠ ุงู†ุง
716
+
717
+ 180
718
+ 00:15:53,450 --> 00:15:58,110
719
+ ู…ุด ู…ุงุจุณู…ูŠู‡ุง analog ู…ุชู…ุงุซู„ analog ูŠุนู†ูŠ ู‡ูŠ ุชู…ุงุซู„
720
+
721
+ 181
722
+ 00:15:58,110 --> 00:16:04,610
723
+ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุณุฑุนุฉ ุชู…ุงุซู„ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุณุฑุนุฉ ุทูŠุจ
724
+
725
+ 182
726
+ 00:16:06,990 --> 00:16:10,650
727
+ an analog signal has a value at every instant in
728
+
729
+ 183
730
+ 00:16:10,650 --> 00:16:13,870
731
+ time ูู‰ ูƒู„ ู„ุญุธุฉ ุงู„ุฒู…ู† ุจูŠูƒูˆู† ุงู„ู‡ู‚ูŠู…ุฉ ู‡ุฐุง ุงู„ analog
732
+
733
+ 184
734
+ 00:16:13,870 --> 00:16:18,090
735
+ signal it usually varies smoothly in magnitude
736
+
737
+ 185
738
+ 00:16:18,090 --> 00:16:22,670
739
+ ุงู„ูƒู…ูŠุฉ ุจุชุชุบูŠุฑ ุจุดูƒู„ ู†ุนู… ุจุชุชุบูŠุฑุด ุนู„ู‰ ุดูƒู„ ู†ุจุถุงุช
740
+
741
+ 186
742
+ 00:16:28,400 --> 00:16:31,820
743
+ some quantities may change in a stepwise manner
744
+
745
+ 187
746
+ 00:16:31,820 --> 00:16:35,340
747
+ between two distinct values high and low voltage
748
+
749
+ 188
750
+ 00:16:35,340 --> 00:16:41,700
751
+ on or off ุจุนุถ ุงู„ูƒู…ูŠุงุช ุจุชุชุบูŠุฑ ุจุดูƒู„ ู…ูุงุฌุฆ ู…ุซู„ุง ู„ู…ุง
752
+
753
+ 189
754
+ 00:16:41,700 --> 00:16:49,580
755
+ ุงุถุบุท ุงู†ุง ุงุนู…ู„ ุงู„ switch on off on off ูููŠ ุชุบูŠุฑ
756
+
757
+ 190
758
+ 00:16:49,580 --> 00:16:53,000
759
+ ู…ูุงุฌุฆ ุนู„ู‰ ุงู„ูŠู…ูŠู† ุงู„ู„ูŠ ุงู†ุช ุดุงูŠูู‡ ุนู†ุฏูŠ ู‡ุฐุง analog
760
+
761
+ 191
762
+ 00:16:53,000 --> 00:17:01,240
763
+ signal ุงู„ุชุบูŠุฑ ู†ุงุนู…ูˆ ู…ุณุชู…ุฑ ูุนู†ุฏู‰ ู‡ู†ุง digital signal
764
+
765
+ 192
766
+ 00:17:01,240 --> 00:17:06,600
767
+ ููŠ voltage no voltage voltage no voltage ูŠุนู†ูŠ ุงูˆ
768
+
769
+ 193
770
+ 00:17:06,600 --> 00:17:10,620
771
+ high low high low high low high low ูู‡ุฐุง ุจูŠุณู…ูŠู‡ุง
772
+
773
+ 194
774
+ 00:17:10,620 --> 00:17:16,100
775
+ digital signal ู…ุซู„ุง
776
+
777
+ 195
778
+ 00:17:16,100 --> 00:17:21,800
779
+ ุณุฑุนุฉ
780
+
781
+ 196
782
+ 00:17:21,800 --> 00:17:26,740
783
+ ุดุงูุช ู…ุนูŠู† ุดุงูุช ุจุฏูˆุฑ ู…ู…ูƒู† ุงู‚ูŠุณ ุณุฑุนุชู‡ ู‡ูŠ ุงู„ุดุงูุช
784
+
785
+ 197
786
+ 00:17:34,600 --> 00:17:41,480
787
+ ุจุญุท ุนู„ูŠู‡ cam ุจุฏูŠ ุฃุฎุฏู‡ุง ู…ู† ุงู„ side view ุงู„ cam ู…ู†
788
+
789
+ 198
790
+ 00:17:41,480 --> 00:17:46,020
791
+ ู‡ู†ุง ู‡ุชูƒูˆู† ุดูƒู„ู‡ุง ุงู„
792
+
793
+ 199
794
+ 00:17:46,020 --> 00:17:52,920
795
+ cam ูˆ
796
+
797
+ 200
798
+ 00:17:52,920 --> 00:17:56,680
799
+ ููŠ ุนู†ุฏูŠ ุฒูŠ follower ู‡ู†ุง
800
+
801
+ 201
802
+ 00:18:07,950 --> 00:18:12,670
803
+ ุนู†ุฏู‰ ุงู„ follower ู„ุงุญุธูˆุง ู‡ุฐู‡ ุงุนู„ู‰ ู†ู‚ุทุฉ ู…ู…ูƒู† ูŠุตู„ู‡ุง
804
+
805
+ 202
806
+ 00:18:12,670 --> 00:18:17,250
807
+ ุงู„ follower ู…ู…ูƒู† ุนู†ุฏู‰ ู‡ู†ุงูƒ switch ุงูƒูˆู† ูƒุงุจุณ ุนู„ูŠู‡ ูˆ
808
+
809
+ 203
810
+ 00:18:17,250 --> 00:18:21,690
811
+ ู„ู…ุง ุชุตูŠุฑ ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ู‡ู†ุง ุจูŠุตูŠุฑ ู‡ุฐุง ุงู„ follower
812
+
813
+ 204
814
+ 00:18:21,690 --> 00:18:28,910
815
+ ุจูŠู†ุฒู„ ู‡ู†ุง ุจูŠุตูŠุฑ ุงู„ switch ุงูŠู‡ off ูˆุงุถุญุฉ ู‡ุฐู‡ ุจุชุฏูˆุฑ
816
+
817
+ 205
818
+ 00:18:28,910 --> 00:18:32,090
819
+ ู‡ุฐุง
820
+
821
+ 206
822
+ 00:18:32,090 --> 00:18:32,970
823
+ ู…ุญูˆุฑ ุฏูˆุฑุงู†
824
+
825
+ 207
826
+ 00:18:36,030 --> 00:18:39,810
827
+ ู„ู…ุง ุชูƒูˆู† ุนู†ุฏ ุงู„ .. ุงู„ .. ุงู„ noise ู‡ุฐู‡ ุจูƒูˆู† ูˆุงุตู„
828
+
829
+ 208
830
+ 00:18:39,810 --> 00:18:44,270
831
+ ู…ุจุนุฏ ุงู„ู„ูŠ ู‡ูŠ ุฏูŠ ุฃุนู„ู‰ ู†ู‚ุทุฉ ูƒู…ุงู† ูˆุฑุงู‡ุง switch ุจุถุบุท
832
+
833
+ 209
834
+ 00:18:44,270 --> 00:18:49,090
835
+ ุนู„ู‰ switch on ู„ู…ุง .. ู‡ุฐู‡ ุงู„ู†ู‚ุทุฉ ุชุตูŠุฑ ู‡ู†ุง ุจู†ุฒู„ ุจุตูŠุฑ
836
+
837
+ 210
838
+ 00:18:49,090 --> 00:18:53,410
839
+ off ูุงู†ุง ู‡ู†ุงูƒ ุจุนู…ู„ ุฅูŠู‡ุŸ on off on off ูˆุจุชุงุน ุจุนุฏ
840
+
841
+ 211
842
+ 00:18:53,410 --> 00:18:58,290
843
+ ุนุฏุฏ ุฏูˆุฑุงุช ุฅูŠู‡ุŸ ุงู„ shaft ู„ู…ุง ุฃุนุฏ ุนุฏุฏ ุฏูˆุฑุงุช ุงู„ shaft
844
+
845
+ 212
846
+ 00:18:58,290 --> 00:19:05,530
847
+ ูˆุจุญุณุจ ุฒู…ู† ุจุญุณุจ ุฅูŠู‡ุŸ ุงู„ RPMุจุนุฏ ุงู†ุง ุจุนุฏ ุนุฏุฏ ุฏูˆุฑุงุช ููŠ
848
+
849
+ 213
850
+ 00:19:05,530 --> 00:19:09,990
851
+ ุงู„ุฏู‚ูŠู‚ุฉ ูˆ ุจุญุณุจ ุงู„ุฒู…ู† ูˆุจุชุงุน ุจุญุณุจ ุงูŠุด ุงู„ุณุฑุนุฉ ุงู„ุฒุงูˆูŠุฉ
852
+
853
+ 214
854
+ 00:19:09,990 --> 00:19:15,950
855
+ ู„ู„ shaft ูู‡ุฐู‡
856
+
857
+ 215
858
+ 00:19:15,950 --> 00:19:19,770
859
+ ุจุชุนุทูŠู†ูŠ ุงูŠุด signal on off on off on off ุจุนู…ู„ ุงูŠุด
860
+
861
+ 216
862
+ 00:19:19,770 --> 00:19:23,670
863
+ counting ูู‡ุฐู‡ ุจุณู…ูŠู‡ุง digital signal
864
+
865
+ 217
866
+ 00:19:28,510 --> 00:19:32,050
867
+ ุทุจุนุง many electronic circuits store numbers as
868
+
869
+ 218
870
+ 00:19:32,050 --> 00:19:38,030
871
+ sets of digit strings of ones and zeros ุงู„ุฏูˆูŠุฉ
872
+
873
+ 219
874
+ 00:19:38,030 --> 00:19:41,190
875
+ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ุจุชุญุชูุธ ุจุชุฎุฒู† ุงู„ุจูŠุงู†ุงุช binary system
876
+
877
+ 220
878
+ 00:19:41,190 --> 00:19:46,990
879
+ ูˆุงุญุฏ ูˆุฒูŠุฑูˆ ูˆุงุญุฏ on ูˆุฒูŠุฑูˆ off ูˆุงุญุฏ ูŠุนู†ูŠ high
880
+
881
+ 221
882
+ 00:19:46,990 --> 00:19:54,430
883
+ voltage ูˆุฒูŠุฑูˆ low voltage ุงู„ูƒู…ุจูŠูˆุชุฑ ุจูŠูู‡ู…ุด ุฅูŠุด
884
+
885
+ 222
886
+ 00:19:54,430 --> 00:19:58,720
887
+ continuousุงู†ุช ุจูŠุจูŠู† ู„ูƒ ูƒุฃู†ู‡ continuous ู‡ูˆ ุงูŠุด ุงู„ู„ูŠ
888
+
889
+ 223
890
+ 00:19:58,720 --> 00:20:02,040
891
+ ุจูŠุณูˆูŠ ุฒูŠ ุงู†ุง ุจู‚ุฑุฃ signal analog signal ู…ุซู„ุง ู†ุญูƒูŠ
892
+
893
+ 224
894
+ 00:20:02,040 --> 00:20:06,840
895
+ ูˆุงู„ู„ู‡ ู‡ุงูŠ ุงู„ุตุฑุงุน ุงู„ุตุฑุงุน ุงู„ุตุฑุงุน ุจุชุชุบูŠุฑ ุจุงู„ุดูƒู„ ู‡ุฐุง
896
+
897
+ 225
898
+ 00:20:06,840 --> 00:20:10,900
899
+ ุจุนู…ู„ูƒ
900
+
901
+ 226
902
+ 00:20:10,900 --> 00:20:14,560
903
+ plot ู‡ูˆ ุนู„ู‰ ุงู„ุดุงุดุฉ ุจุงู„ุดูƒู„ ู‡ุฐุง ุจุณ ุงู†ุช ุดุงูŠูู‡ ู‡ูŠูƒ ู‡ูˆ
904
+
905
+ 227
906
+ 00:20:14,560 --> 00:20:19,240
907
+ ุงู„ู„ูŠ ุณูˆูŠุง ุฃุฎุฏ
908
+
909
+ 228
910
+ 00:20:19,240 --> 00:20:24,540
911
+ specific times ูŠุนู†ูŠ ู‡ุงูŠ ุฃุฎุฏ ู‡ุงูŠ time zero ุจุนุฏูŠู†
912
+
913
+ 229
914
+ 00:20:24,540 --> 00:20:30,920
915
+ ุฃุฎุฏ ู‡ุงูŠ timetime ูˆุงุญุฏ ู‡ูŠ time ุงุชู†ูŠู† time ุชู„ุงุชุฉ
916
+
917
+ 230
918
+ 00:20:30,920 --> 00:20:39,620
919
+ time ุงุฑุจุน time ุฎู…ุณุฉ time ุณุชุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ูˆ
920
+
921
+ 231
922
+ 00:20:39,620 --> 00:20:45,400
923
+ ู‡ูƒุฐุง ู‡ูˆ ุนุงุฑู ุงู„ู‚ุฑุงุกู‡ูŠู† ู‡ูŠู‚ุฑุง ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุน
924
+
925
+ 232
926
+ 00:20:45,400 --> 00:20:52,580
927
+ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ูุงุฎุฏ discrete ู‡ูˆ ุงู„ู„ูŠ ุตูˆู‘ู‰
928
+
929
+ 233
930
+ 00:20:52,580 --> 00:20:59,290
931
+ ุจุนุฏูŠู†ูˆุตู„ ุจูŠู†ู‡ู… ูƒู„ ู…ุง ูŠุชูƒุชุฑ ูŠุฒุบุฑ ุงู„ interval ุจุชุจูŠู†
932
+
933
+ 234
934
+ 00:20:59,290 --> 00:21:04,310
935
+ ุงู„ุงุดูŠ ุงู„ smooth ุงูƒุชุฑ ูˆูุนู„ูŠุง ู…ุงุงุฎุฏ ุงู„ู„ูŠ ู‡ูˆ at every
936
+
937
+ 235
938
+ 00:21:04,310 --> 00:21:07,350
939
+ instant second ูŠุนู†ูŠ ุงุฎุฏ ูŠุนู†ูŠ ุงู„ุนู…ู„ูŠุฉ ู…ุด ู…ุณุชู…ุฑุฉ ู„ุฃ
940
+
941
+ 236
942
+ 00:21:07,350 --> 00:21:13,510
943
+ ู…ุชู‚ุทุนุฉูุจุชุจูŠู† ู„ูƒ ุงู† ู‡ุงูŠุงุด ูƒู„ ุทุจุนุง ู…ุง ุจุฏูƒ ุงู†ุช ูƒู„ ู…ุง
944
+
945
+ 237
946
+ 00:21:13,510 --> 00:21:18,610
947
+ ุชู‚ู„ interval ุจุชุฒูˆุฏ ุงู„ุฏู‚ุฉ ูู‡ูˆ ุงู„ computer ุจุชุนู…ู„ ู…ุน
948
+
949
+ 238
950
+ 00:21:18,610 --> 00:21:24,990
951
+ discrete data ุจูŠุงู†ุงุช ุนู†ุฏ ุฃุฒู…ู†ุฉ ู…ุญุฏุฏุฉ ู…ุด continuous
952
+
953
+ 239
954
+ 00:21:24,990 --> 00:21:33,110
955
+ ู…ุงุจูŠุนุทูŠู†ุง ุงูŠุด continuous ุงู„ุงู†
956
+
957
+ 240
958
+ 00:21:33,110 --> 00:21:37,330
959
+ ู…ุงููŠุด information ุจูŠู† ูˆุงุญุฏ ุงุชู†ูŠู† ู…ุงููŠุด ุนู†ุฏ ู…ุนู„ูˆู…ุงุช
960
+
961
+ 241
962
+ 00:21:38,550 --> 00:21:42,450
963
+ ุจุณ ู…ู…ูƒู† ุงู†ุง ุงุนู…ู„ู‡ุง estimation ู„ู…ุง ุชูƒูˆู† intervals
964
+
965
+ 242
966
+ 00:21:42,450 --> 00:21:45,850
967
+ ุฏูŠ ุงู†ุง ุงูุชุฑุถ ุงู„ู„๏ฟฝ๏ฟฝ ู„ู‡ุง ู…ู…ูƒู† ุงูุชุฑุถู‡ุงุงุด linear ู„ูƒู†
968
+
969
+ 243
970
+ 00:21:45,850 --> 00:21:49,610
971
+ ู„ู…ุง ูƒุงู†ุช ุงู„ุจุณุงูุฉ ุจุนูŠุฏุฉ ู„ูˆ ุชูƒูˆู† ุงู„ intervals
972
+
973
+ 244
974
+ 00:21:49,610 --> 00:22:03,530
975
+ ู…ุชุจุงุนุฏุฉ ุนู†ุฏ ู‡ุงูŠ ู…ุซู„ุง ู‡ุงูŠ ูˆุงุญุฏ ูˆู‡ุงูŠ ุงุชู†ูŠู† ุงูุชุฑุถ ุงู†
976
+
977
+ 245
978
+ 00:22:03,530 --> 00:22:09,310
979
+ ุงู†ุง ุงุนู…ู„ interpolation ู†ู‚ุทุฉ ููŠ ุงู„ู†ุตู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
980
+
981
+ 246
982
+ 00:22:09,310 --> 00:22:16,210
983
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ูˆู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ุญุณุจู‡ุง ุงู„ูƒู…ุจูŠูˆุชุฑ ุตุญุŸ ููŠ
984
+
985
+ 247
986
+ 00:22:16,210 --> 00:22:23,250
987
+ ูุฑู‚ ู„ูƒู† ู„ูˆ ุฒุบุฑุช ุงู„ interval ูˆุตู„ุช
988
+
989
+ 248
990
+ 00:22:23,250 --> 00:22:29,070
991
+ ุฎุท ู…ุณุชู‚ูŠู… ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุฃู†ุง ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู…ุญุณุจุฉ ุญุณุงุจุง
992
+
993
+ 249
994
+ 00:22:29,070 --> 00:22:33,270
995
+ ู…ุทุงู„ู‚ุฉ ู„ู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ูˆ ุจูŠุนู…ู„ interpolation ุจุณ
996
+
997
+ 250
998
+ 00:22:33,270 --> 00:22:33,890
999
+ ู…ุด ุฃูƒุชุฑ
1000
+
1001
+ 251
1002
+ 00:22:44,430 --> 00:22:48,450
1003
+ ุงู„ูƒู…ูŠุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุฒูŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุงู„ุชุฏูู‚ุŒ
1004
+
1005
+ 252
1006
+ 00:22:48,450 --> 00:22:52,370
1007
+ ุงู„ุถุบุทุŒ ุงู„ stressุŒ ุงู„ strain ุจุชุชุตุฑููˆุง ุจุดูƒู„ analog
1008
+
1009
+ 253
1010
+ 00:22:52,370 --> 00:22:55,730
1011
+ ูŠุนู†ูŠ ุงู„ุญุงุฌุงุช ู‡ุฐู‡ ุงู„ูƒูŠู…ูŠุงุช ุชุชุบูŠุฑุด ุจุดูƒู„ ูŠุนู†ูŠ ุนู„ู‰ ุดูƒู„
1012
+
1013
+ 254
1014
+ 00:22:55,730 --> 00:23:04,010
1015
+ ู‚ูุฒุงุช ุชุชุบูŠุฑ ุจุดูƒู„ ู…ุณุชู…ุฑ ุงู„ุขู† ุงู„ computer ุจุงุฎุฏุด
1016
+
1017
+ 255
1018
+ 00:23:04,010 --> 00:23:10,480
1019
+ ู‚ุฑุงุกุงุช continuously ุจุงุฎุฏ ู‚ุฑุงุกุงุชin step wise manner
1020
+
1021
+ 256
1022
+ 00:23:10,480 --> 00:23:13,300
1023
+ ูŠุนู†ูŠ ุจุงุฎุฏ ูƒู„ ูุชุฑุฉ ู…ุซู„ุง ูƒู„ .. ุงู†ุง .. ุงู†ุง ุงู„ู„ูŠ ุจุญุฏุฏ
1024
+
1025
+ 257
1026
+ 00:23:13,300 --> 00:23:17,960
1027
+ ุจุญูƒูŠ ู„ู‡ ุฎุฏ ูˆุงู„ู„ู‡ ูƒู„ one millisecond ุฎุฏู„ูŠ ู‚ุฑุงุกุฉ ุงูˆ
1028
+
1029
+ 258
1030
+ 00:23:17,960 --> 00:23:24,120
1031
+ ูƒู„ one second ุฎุฏ ู‚ุฑุงุกุฉ ุงูˆ ูƒู„ ุณุงุนุฉ ุฎุฏ ู‚ุฑุงุกุฉ ุงูˆ ูƒู„
1032
+
1033
+ 259
1034
+ 00:23:24,120 --> 00:23:29,420
1035
+ ุชู„ุช ุฃูŠุงู… ุฎุฏ ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุจูŠุญุฏุฏ ุงู„ step ุงูŠุด ุจูŠุญุฏุฏู‡ุงุŸ
1036
+
1037
+ 260
1038
+ 00:23:29,420 --> 00:23:35,520
1039
+ ุนู„ู‰ ุงูŠ ุฃุณุงุณ ุฌู‡ุงุฒ
1040
+
1041
+ 261
1042
+ 00:23:35,520 --> 00:23:39,110
1043
+ ุงู„ู„ูŠ ุนุงู…ุฏ ุงู„ุฏูุน ุงู„ู„ูŠ ุจุชุญูƒูŠู‡ุงู‡ุญุงูˆู„ application ูŠุนู†ูŠ
1044
+
1045
+ 262
1046
+ 00:23:39,110 --> 00:23:43,550
1047
+ ุงู†ุง ู…ุซู„ุง ุจุฏู‰ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุบุฑูุฉ ู…ูƒูŠูุฉ ุนู„ู‰ ุนุดุฑูŠู†
1048
+
1049
+ 263
1050
+ 00:23:43,550 --> 00:23:48,090
1051
+ ุฏุฑุฌุฉ ูุงุด ุฏู‡ ุงุฎุฏ ู‚ุฑุงุกุฉ ูƒู„ one millisecond ูŠุนู†ูŠ ู„ูˆ
1052
+
1053
+ 264
1054
+ 00:23:48,090 --> 00:23:51,150
1055
+ ุงุฎุฏ ู‚ุฑุงุกุฉ ูƒู„ ู†ุญูƒูŠ ุฏู‚ูŠู‚ุฉ ูƒุงููŠุฉ ู„ู„ control system
1056
+
1057
+ 265
1058
+ 00:23:51,150 --> 00:23:57,990
1059
+ ุชุจุนู‡ ูู‰ ุชุทุจูŠู‚ุงุช ู…ุนูŠู†ุฉ ุจู„ุฒู…ู†ุง ุงุฎุฏ ู‚ุฑุงุกุฉ ูƒู„ ุชู„ุช ุงุฑุจุน
1060
+
1061
+ 266
1062
+ 00:23:57,990 --> 00:24:02,350
1063
+ ุณุงุนุงุช ู…ุซู„ุง ุงู†ุง ุนู†ุฏู‰ ู…ุซู„ุง ุนู†ุฏู‰ ู…ุซู„ุง ุญุงุถู… ุงูˆ ู…ูุงุนู„
1064
+
1065
+ 267
1066
+ 00:24:02,350 --> 00:24:07,400
1067
+ biology ููŠู‡ ุจูƒุชูŠุฑูŠุง ุจุฏู‰ ุงูุญุต ุงู„ุญู…ูˆุฏุฉ ุงู„ PHุงู„ู€ ph
1068
+
1069
+ 268
1070
+ 00:24:07,400 --> 00:24:11,440
1071
+ ุชุบูŠุฑุด ููŠ ุตุฑุงุนู‡ ู…ุงููŠุด ุฏู‡ ุฃุฎุฏ ูƒู„ second ู‚ุฑุงู‡ ู„ู„ ph
1072
+
1073
+ 269
1074
+ 00:24:11,440 --> 00:24:14,780
1075
+ ู„ูˆ ุฃุฎุฏุช ูƒู„ ุณุงุนุฉ ู‚ุฑุงู‡ุง ูƒู„ ุณุงุนุชูŠู† ู‚ุฑุงู‡ุง ุจูŠู…ุดูŠ ุงู„ุญุงู„
1076
+
1077
+ 270
1078
+ 00:24:14,780 --> 00:24:19,560
1079
+ ูุงู†ุง ุงู„ application ูˆ ุทุจูŠุนุฉ ุงู„ุชุบูŠุฑ ู‡ูˆ ุงู„ู„ูŠ ุจูŠุญุฏุฏ
1080
+
1081
+ 271
1082
+ 00:24:19,560 --> 00:24:27,220
1083
+ ุงู„ู„ูŠ ู‡ูˆ ูƒู„ ุฃูƒู… ุฃุฎุฏ ู‚ุฑุงู‡ุง ุฅุฐุง
1084
+
1085
+ 272
1086
+ 00:24:27,220 --> 00:24:32,180
1087
+ ุฃู†ุง ุนู†ุฏู‰ ููŠ ุชุทุจูŠู‚ุงุช
1088
+
1089
+ 273
1090
+ 00:24:32,180 --> 00:24:33,000
1091
+ ุญุณุงุณุฉ
1092
+
1093
+ 274
1094
+ 00:24:36,950 --> 00:24:42,050
1095
+ ุจุฏูŠ ุฑุฏ ุงุชูุงุนู„ ุณุฑูŠุน ุฌุฏุง ูˆ ุงู„ุชุบูŠุฑุงุช ูƒุจูŠุฑุฉ ุฌุฏุง ุฅุฐุง
1096
+
1097
+ 275
1098
+ 00:24:42,050 --> 00:24:46,870
1099
+ ุทูŠุงุฑุฉ ู…ุงุดูŠุฉ ุจุณุฑุนุฉ ุงู„ mac ุชุงุนู‡ุง ุชู…ุงู†ูŠุฉ ูˆ ู„ุง ุณุจุนุฉ
1100
+
1101
+ 276
1102
+ 00:24:46,870 --> 00:24:51,470
1103
+ mac number ูŠุนู†ูŠ ู…ุซู„ุง ุชู…ุดูŠ ุจุญูˆุงู„ูŠ ุณุช ุฃุถุนุงู ุณุจุน
1104
+
1105
+ 277
1106
+ 00:24:51,470 --> 00:24:56,830
1107
+ ุฃุถุนุงู ุณุฑุนุฉ ุงู„ุตูˆุช ู…ุด ู…ู†ุทู‚ ุฃุฎุฏ ูƒู„ ุณุงุนุฉ ู‚ุฑุงุกุฉ ุณุฑุนุฉ
1108
+
1109
+ 278
1110
+ 00:24:56,830 --> 00:25:01,510
1111
+ ุงู„ุทูŠุงุฑุฉ ู…ุซู„ุง ู…ุธุจูˆุทุŸ ุจุฏูŠ ุฃุดุชุบู„ ุงู„ micro second ู„ุฃ
1112
+
1113
+ 279
1114
+ 00:25:01,510 --> 00:25:05,270
1115
+ ุงู†ุง ููŠ ุงู„ second ุจูŠูƒูˆู† ูˆุงุตู„ุฉ ู…ูƒุงู† ุจูŠุช ุฌุฏุง ุงู„ุทูŠุงุฑุฉ
1116
+
1117
+ 280
1118
+ 00:25:06,280 --> 00:25:13,960
1119
+ ูุงู„ application ุจูŠุญุฏุฏ ูƒู„ ุงูƒู… ุชุงุฎุฏ ู‚ุฑุงุกุฉ ููŠ ู…ุฒุงูŠุง
1120
+
1121
+ 281
1122
+ 00:25:13,960 --> 00:25:18,700
1123
+ ู…ู† ุชุญูˆูŠู„ุงู„ .. ุงู„ .. ุงู„ analog signals ู„ digital
1124
+
1125
+ 282
1126
+ 00:25:18,700 --> 00:25:21,800
1127
+ signals ุงู„ digital signals ู…ู…ูƒู† ุงุนู…ู„ ุนู„ูŠู‡ุง
1128
+
1129
+ 283
1130
+ 00:25:21,800 --> 00:25:24,640
1131
+ processing ูƒุชูŠุฑ ู…ู…ูƒู† ุงุนุงู„ุฌู‡ุง ุงุนู…ู„ู‡ุง conditioning
1132
+
1133
+ 284
1134
+ 00:25:24,640 --> 00:25:28,400
1135
+ ููŠ ุงู„ computer ูƒุชูŠุฑ ู…ู…ูƒู† ุงุญุฏ ุงู„ู…ุนุงู„ุฌุงุช ุงุนู…ู„ ูู„ุชุฑุฉ
1136
+
1137
+ 285
1138
+ 00:25:28,400 --> 00:25:33,040
1139
+ ููŠ end noise ุงุดูŠู„ู‡ุง ุงู„ุชูƒุจูŠุฑ ุจุชุงุนู‡ุง ุฃูŠุด ุณู‡ู„
1140
+
1141
+ 286
1142
+ 00:25:33,040 --> 00:25:37,740
1143
+ ูุงู„ู…ุนุงู„ุฌุฉ ุงู„ู…ุญุงูˆุธุฉ ุจู‚ู‰ ู„ู„ digital signals ุณู‡ู„ุฉ
1144
+
1145
+ 287
1146
+ 00:25:37,740 --> 00:25:42,360
1147
+ ูƒุชูŠุฑูˆ ุจุชุฑูŠุญู†ูŠ ูƒุชูŠุฑ ูˆ ุจุญุตู„ ุนู„ู‰ ู†ุชุงุฆุฌ ุงูƒุชุฑ ู…ู† ..
1148
+
1149
+ 288
1150
+ 00:25:42,360 --> 00:25:44,800
1151
+ ูŠุนู†ูŠ ุงุญุฏ ุงู„ู…ุดุงูƒู„ ุงู„ noise ุจุดูŠู„ู‡ุง ุงู„ .. ุงู„
1152
+
1153
+ 289
1154
+ 00:25:44,800 --> 00:25:47,340
1155
+ integration ุจุนู…ู„ integration differentiation ูƒู„
1156
+
1157
+ 290
1158
+ 00:25:47,340 --> 00:25:57,660
1159
+ ุนู…ู„ุชูŠู‡ุง ุจุนู…ู„ู‡ุง digital ุทูŠุจ
1160
+
1161
+ 291
1162
+ 00:25:57,660 --> 00:26:01,740
1163
+ ุงุญู†ุง ูƒุงู† ุงู„ .. ุงู„ .. ู†ุญูƒูŠ ุนู„ู‰ ุงู„ measurement
1164
+
1165
+ 292
1166
+ 00:26:01,740 --> 00:26:06,900
1167
+ standardsุญูƒูŠู†ุง ุงู„ measurement is a process of
1168
+
1169
+ 293
1170
+ 00:26:06,900 --> 00:26:12,180
1171
+ comparison ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู†
1172
+
1173
+ 294
1174
+ 00:26:12,180 --> 00:26:17,340
1175
+ ุงู„ุงุดูŠ ุงู„ู„ูŠ ุงู†ุง ุจุฏู‡ ุงู‚ูŠุณู‡ ูˆุจูŠู† ุงู„ standard ุจุฏู‡ ุงู‚ูŠุณ
1176
+
1177
+ 295
1178
+ 00:26:17,340 --> 00:26:25,320
1179
+ ุทูˆู„ ุงู„ุฌูˆุงู„ ุจู‚ุงุฑู†ู‡ ุจู…ุนูŠุงุฑ ู„ู„ุทูˆู„ ุตุญ ู…ุชุฑ caliber ูู‡ูŠ
1180
+
1181
+ 296
1182
+ 00:26:25,320 --> 00:26:27,560
1183
+ ููŠ ุงู„ุขุฎุฑ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณ ุนู…ู„ูŠุฉ ู…ู‚ุงุฑู†ุฉ
1184
+
1185
+ 297
1186
+ 00:26:31,720 --> 00:26:34,920
1187
+ regardless of measured method ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุทุฑูŠู‚ุฉ
1188
+
1189
+ 298
1190
+ 00:26:34,920 --> 00:26:43,220
1191
+ ุงู„ู‚ูŠุงุณ ู„ุงุฒู… ู†ุญุท ุฃุณุงุณ ู„ุนู…ู„ูŠุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุนุดุงู† ุฃุญุท ุฃุณุงุณ
1192
+
1193
+ 299
1194
+ 00:26:43,220 --> 00:26:46,420
1195
+ ู„ุนู…ู„ูŠุฉ ุงู„ู…ู‚ุงุฑู†ุฉ ุจุฏูŠ ุฃุณุชุฎุฏู… standardized units ุจุฏูŠ
1196
+
1197
+ 300
1198
+ 00:26:46,420 --> 00:26:53,400
1199
+ ุฃุณุชุฎุฏู… ูˆุญุฏุงุช ู…ูŠุงุฑูŠุฉ ูˆุญุฏุงุช ู…ูŠุงุฑูŠุฉ ุฒูŠ ูˆุญุฏุฉ ุงู„ุทูˆู„
1200
+
1201
+ 301
1202
+ 00:26:53,400 --> 00:26:59,460
1203
+ ูˆุญุฏุฉ ุงู„ุฒู…ู† ูˆุญุฏุฉ ุงู„ุญุฑุงุฑุฉ ูˆุญุฏุฉ ุงู„ุฃู†ุจูŠุฑ ูˆ ู‡ูƒุฐุง
1204
+
1205
+ 302
1206
+ 00:27:01,710 --> 00:27:05,270
1207
+ standard must be precisely defined ุงู„ู…ุนูŠูŠุฑ ู„ุงุฒู…
1208
+
1209
+ 303
1210
+ 00:27:05,270 --> 00:27:11,190
1211
+ ูŠุชู… ุชุญุฏูŠุฏู‡ุง ุงูˆ ุชุนุฑูŠูู‡ุง ุจุดูƒู„ ุฏู‚ูŠู‚ ูˆู„ุฃู† ููŠ ุนู†ุฏู‰
1212
+
1213
+ 304
1214
+ 00:27:11,190 --> 00:27:13,910
1215
+ different systems of units ููŠ ุนู†ุฏู‰ ุฃู†ุธู…ุฉ ู…ุฎุชู„ูุฉ ู…ู†
1216
+
1217
+ 305
1218
+ 00:27:13,910 --> 00:27:19,290
1219
+ ุงู„ูˆุญุฏุงุช ููŠ ุนู†ุฏู‰ ูˆุญุฏุงุช ุงู†ุฌู„ูŠุฒูŠุฉ ูˆูˆุญุฏุงุช ุงู„ SI units
1220
+
1221
+ 306
1222
+ 00:27:19,290 --> 00:27:21,810
1223
+ ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู‰ method of conversion ู„ุงุฒู… ูŠูƒูˆู† ุนู†ุฏู‰
1224
+
1225
+ 307
1226
+ 00:27:21,810 --> 00:27:27,130
1227
+ ุทุฑูŠู‚ุฉ ู„ู„ุชุญูˆูŠู„ ู…ู† ู†ุธุงู… ู„ู„ู†ุธุงู…ูˆุงู„ุชุญูˆูŠู„ุงุช ู‡ุฐู‡ ูˆ ุงู„
1228
+
1229
+ 308
1230
+ 00:27:27,130 --> 00:27:29,630
1231
+ standards ุจุชุงุนุช ุงู„ูŠูˆู†ุณ ู‡ูŠู„ ู„ุงุฒู… ูŠูƒูˆู† ู…ุชูู‚ ุนู„ูŠู‡ุง
1232
+
1233
+ 309
1234
+ 00:27:29,630 --> 00:27:36,050
1235
+ ุฏูˆู„ูŠุง ู…ุงูŠู†ูุนุด ูƒู„ ูˆุงุญุฏ ูŠุนู…ู„ standard ู„ุญุงู„ู‡ a
1236
+
1237
+ 310
1238
+ 00:27:36,050 --> 00:27:40,330
1239
+ relation between standards and read out scale of
1240
+
1241
+ 311
1242
+ 00:27:40,330 --> 00:27:43,590
1243
+ each system must be established through a process
1244
+
1245
+ 312
1246
+ 00:27:43,590 --> 00:27:46,330
1247
+ known as calibration ู„ุงุฒู… ูŠูƒูˆู† ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„
1248
+
1249
+ 313
1250
+ 00:27:46,330 --> 00:27:50,110
1251
+ standard ูˆ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุจูŠุนุทูŠู‡ุง ุงู„ุฌู‡ุงุฒ ู…ู† ุฎู„ุงู„
1252
+
1253
+ 314
1254
+ 00:27:50,110 --> 00:27:54,760
1255
+ ุนู…ู„ูŠุฉ ุชุณู…ู‰ ุงู„ู…ุนุงูŠุฑุฉ ูŠุนู†ูŠ ุงู†ุง ุจุนูŠู‘ุฑ ุฌู‡ุงุฒุงู„ุฌู‡ุงุฒ ู…ุซู„ุง
1256
+
1257
+ 315
1258
+ 00:27:54,760 --> 00:27:58,180
1259
+ ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ุจุงุณุชุฎุฏุงู… ุงู„ู…ู‚ุงูˆู…ุฉ ุงูƒูŠุฏ ููŠ ุนู„ุงู‚ุฉ
1260
+
1261
+ 316
1262
+ 00:27:58,180 --> 00:28:02,860
1263
+ ุฑูŠุงุถูŠุฉ ุจูŠู† ุงู„ู…ู‚ุงูˆู…ุฉ ุงูˆ ููŠ ู†ู…ูˆุฐุฌ ุฑูŠุงุถูŠ ุจูŠู† ุงู„ู…ู‚ุงูˆู…ุฉ
1264
+
1265
+ 317
1266
+ 00:28:02,860 --> 00:28:06,000
1267
+ ูˆุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู†ุง ููŠ ุงู„ุขุฎุฑ ุจู‚ูŠุณ ู…ู‚ุงูˆู…ุฉ ุจุณ ุงู†ุง ุจุฏูŠ
1268
+
1269
+ 318
1270
+ 00:28:06,000 --> 00:28:11,420
1271
+ ุชุฑุฌู… ูˆุงู„ู„ู‡ ู‡ุฐู‡ ุนุดุฑุฉ ู…ูŠู„ูŠ ุงูˆู… ุจุชุนุจุฑ ุนู„ู‰ ุฏู„ุชุง ุชูŠ
1272
+
1273
+ 319
1274
+ 00:28:11,420 --> 00:28:17,420
1275
+ ู…ุซู„ุง ุฎู…ุณุงุดุฑ ุฏุฑุฌุฉ ูุจุนู…ู„ calibration ุจุชุจู‚ู‰ ุนู†ุฏู‰ ุนู„ู‰
1276
+
1277
+ 320
1278
+ 00:28:17,420 --> 00:28:24,070
1279
+ ุงู„ display ุงู†ู‡ ู‡ูŠ ุงูŠุด ุฎู…ุณุงุดุฑ ุฏุฑุฌุฉููŠ ุงู„ุขุฎุฑ ุงู†ุง ู‡ูˆ
1280
+
1281
+ 321
1282
+ 00:28:24,070 --> 00:28:28,750
1283
+ ุญู‚ูŠู‚ุฉ ุฏุงุฎู„ูŠ ุงู†ุง ุจู‚ูŠุณ ู…ู‚ุงู…ุฉ but I display .. I
1284
+
1285
+ 322
1286
+ 00:28:28,750 --> 00:28:33,650
1287
+ display ุจุนุฑุถ temperature ุงู„ .. ุงู„ .. ุงู„ .. ุงู„
1288
+
1289
+ 323
1290
+ 00:28:33,650 --> 00:28:38,150
1291
+ temperature ุชู… ู‚ูŠุงุณู‡ุง ู…ู† ุฎู„ุงู„ ุงู„ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงู…ุฉ
1292
+
1293
+ 324
1294
+ 00:28:38,150 --> 00:28:41,610
1295
+ ุงู†ุง ุฌูˆุง ุฏุงุฎู„ูŠ ุจู‚ูŠุณ ู…ู‚ุงู…ุฉ ูˆ I display ุจุฑุง ูŠุงุด
1296
+
1297
+ 325
1298
+ 00:28:41,610 --> 00:28:44,290
1299
+ temperature ู‡ุฐู‡ ุนู…ู„ูŠุฉ ูŠุงุด ุงู„ calibration
1300
+
1301
+ 326
1302
+ 00:28:50,990 --> 00:28:54,430
1303
+ ุงุนุชุจุฑ ุนุดุงู† ุงุนู…ู„ calibration ู„ุงุฒู… ุงุนู…ู„ ู…ู‚ุงุฑู†ุฉ ู…ุน
1304
+
1305
+ 327
1306
+ 00:28:54,430 --> 00:29:00,950
1307
+ ุงุดูŠ very well known ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ูŠุฒุงู† ู‡ู†ุง ุนู†ุฏูŠ ู…ูŠุฒุงู†
1308
+
1309
+ 328
1310
+ 00:29:00,950 --> 00:29:08,490
1311
+ ู‡ุฐุง ููŠ ุงู„ุฃุฎุฑ digital ููŠ force cell ุจุชุนุทูŠู†ูŠ
1312
+
1313
+ 329
1314
+ 00:29:08,490 --> 00:29:12,530
1315
+ ู‚ุฑุงุกุฉ ุจุณ ุงู„ุงุดูŠ ุงู„ุญู‚ูŠู‚ูŠ ู‡ูˆ ู‡ุฐุง ุจุชุฃูƒุฏ ุงู†ู‡ ุจุชูˆุฒู† ุตุญ
1316
+
1317
+ 330
1318
+ 00:29:12,530 --> 00:29:16,530
1319
+ ูˆู„ุง ู„ูŠุณ ุตุญ ู‡ูˆ ุจูŠุญูƒูŠ ุงู† ู‡ุฐุง ูˆุฒู† ุญุทูŠุช ุนู„ูŠู‡ ุงู„ุดุบู„ ุญูƒุง
1320
+
1321
+ 331
1322
+ 00:29:16,530 --> 00:29:19,980
1323
+ ูƒูŠู„ูˆ ุงุด ุนุงุฑู ุงู† ู‡ูˆ ูƒูŠู„ูˆ ุตุญ ูˆู„ุง ุบู„ุทู…ุนู†ู‰ ุงู†ูƒ ุจุชุฌูŠุจ
1324
+
1325
+ 332
1326
+ 00:29:19,980 --> 00:29:22,960
1327
+ ุงุดูŠ ูุนู„ุง ู‡ูˆ ูƒูŠู„ูˆ ูˆ ุงุญุท ุงุดูˆู ุจูŠุนุทูŠู†ูŠ ูƒูŠู„ูˆ ุงูˆ ู„ุง
1328
+
1329
+ 333
1330
+ 00:29:22,960 --> 00:29:28,920
1331
+ ูƒูŠู„๏ฟฝ๏ฟฝ ูุจุฏูŠ reference very well defined ูˆ defined
1332
+
1333
+ 334
1334
+ 00:29:28,920 --> 00:29:36,980
1335
+ ุจุฏู‚ุฉ ุนุงู„ุฉ ุฌุฏุง ุทูŠุจ
1336
+
1337
+ 335
1338
+ 00:29:40,500 --> 00:29:44,720
1339
+ ุทุจุนุง ุงู„ุนู…ู„ูŠุฉ ุงู„ calibration process ุจุชุนุทูŠู†ูŠ ุงู„
1340
+
1341
+ 336
1342
+ 00:29:44,720 --> 00:29:48,240
1343
+ correct auto scale for the measuring system ุจุนุถ
1344
+
1345
+ 337
1346
+ 00:29:48,240 --> 00:29:55,680
1347
+ ุงุญูŠุงู† ุงู†ุง ู…ุฌู‡ุฒ ู…ูŠุฒุงู† ุตุญ ู…ุฌู‡ุฒู‡ ุตุญ ูˆุดุฑูŠู‡ 100% ุจุณ ุจุนุฏ
1348
+
1349
+ 338
1350
+ 00:29:55,680 --> 00:30:01,480
1351
+ ุงู„ุณุฎุฏุงู… ุจุนุฏ ุณู†ุฉ ุณู†ุชูŠู† ุจุทู„ ูŠุนุทูŠู†ูŠ ู‚ู„ู‚ุงุช ุตุญ ู…ุนู†ุงุชู‡
1352
+
1353
+ 339
1354
+ 00:30:01,480 --> 00:30:07,850
1355
+ ู…ุญุชุงุฌ ุงุนู…ู„ู‡ ุงูŠุด ู…ุนุงูŠูŠุฑ ู…ู† ุงูˆู„ ู„ุฌุฏูŠุฏ ุดุฑูŠ ุฌู‡ุงุฒ phูˆ
1356
+
1357
+ 340
1358
+ 00:30:07,850 --> 00:30:11,770
1359
+ ุจุนุฏ ุณู†ุฉ ุณู†ุชูŠู† ุตุงุฑุช ุงู„ุฏู‚ุฉ ุจุชุงุนุชู‡ ุงู†ุฎูุถุช ููŠ ู…ุดุงูƒู„
1360
+
1361
+ 341
1362
+ 00:30:11,770 --> 00:30:15,390
1363
+ ุตุงุฑุชูŠู† ููŠ ุงู„ู‚ุฑุงุกุงุช ุงู†ุง ู…ุซู„ุง ุจูŠุฌูŠ ุงู„ุฒุจูˆู† ุจูŠุนู…ู„ูŠ
1364
+
1365
+ 342
1366
+ 00:30:15,390 --> 00:30:21,110
1367
+ ุงุญูƒูŠ ู„ูŠ ุงูุญุตู† ุงู„ PH ู„ู„ู…ุงุฏุฉ ู‡ุฐู‡ ุทู„ุนุช ู…ุซู„ุง ุณุชุฉ ูˆ ู†ุต
1368
+
1369
+ 343
1370
+ 00:30:21,110 --> 00:30:26,870
1371
+ ุฑุงุญ ูุญุต ุงู„ PH ููŠ ู…ุฎุชุจุฑ ุชุงู†ูŠ ุทู„ุนุช ุณุจุนุฉ ู…ุฎุชุจุฑ ุชุงู„ุช
1372
+
1373
+ 344
1374
+ 00:30:26,870 --> 00:30:30,910
1375
+ ุณุจุนุฉ ู…ุฎุชุจุฑ ุฑุงุจุน ุณุจุนุฉ ู‡ูŠุฑุฌุนู„ูŠ ุจูŠุญูƒูŠ ู„ูŠ ููŠ ุนู†ุฏูƒ
1376
+
1377
+ 345
1378
+ 00:30:30,910 --> 00:30:35,670
1379
+ ู…ุดูƒู„ุฉ ู…ุนู†ุงุชู‡ ุงู†ุง ู…ุญุชุงุฌ ุงุนู…ู„ ุงูŠุงุดุŸCalibration
1380
+
1381
+ 346
1382
+ 00:30:35,670 --> 00:30:40,990
1383
+ Calibration ุจูŠุตูŠุฑ ุฅู† ุจุฌูŠุจ ู…ูˆุงุฏ ุงู„ู…ูˆุงุฏ ู…ุญุถุฑุฉ ุจุดูƒู„
1384
+
1385
+ 347
1386
+ 00:30:40,990 --> 00:30:45,810
1387
+ ุฎุงุต ุงู„ pH ุจุชุงุนุชู‡ุง ู…ุนุฑูˆูุฉ ู…ุซู„ุง ุงู„ู…ุงุฏุฉ ุฏูŠ ุฃู†ุง
1388
+
1389
+ 348
1390
+ 00:30:45,810 --> 00:30:49,130
1391
+ ุจุดุชุฑูŠู‡ุง ุงู„ pH ุจุชุงุนุชู‡ุง ุฎู…ุณุฉ ุจุฑูˆุญ ุจู‚ูŠุณู‡ุง ุนู„ู‰ ุงู„ุฌู‡ุงุฒ
1392
+
1393
+ 349
1394
+ 00:30:49,130 --> 00:30:52,690
1395
+ ุชุทู„ุน ุฃุฑุจุนุฉ ูˆ ู†ุต ุจุนู…ู„ adjustment ู„ู„ุฌู‡ุงุฒ ุจุนุฏู„ู‡ ุจุญูƒูŠ
1396
+
1397
+ 350
1398
+ 00:30:52,690 --> 00:30:56,110
1399
+ ู„ู‡ ู‡ุฐู‡ ู…ุด ุฃุฑุจุนุฉ ูˆ ู†ุต ู‡ุฐู‡ ุฎู…ุณุฉ ุนุฏู„ ุญุงู„ูƒ ู‡ุฐู‡ ู‡ูŠ
1400
+
1401
+ 351
1402
+ 00:30:56,110 --> 00:30:57,010
1403
+ ุนู…ู„ูŠุฉ ุงู„ calibration
1404
+
1405
+ 352
1406
+ 00:31:08,080 --> 00:31:15,140
1407
+ ุทูŠุจ if output ุฅุฐุง ูƒุงู† ุงู„ output is exactly
1408
+
1409
+ 353
1410
+ 00:31:15,140 --> 00:31:23,320
1411
+ proportional to input ูŠุนู†ูŠ ุงู„ output ุจูŠุณุชูˆู‰
1412
+
1413
+ 354
1414
+ 00:31:23,320 --> 00:31:32,240
1415
+ constant ุจุงู„ input ูŠุนู†ูŠ ุนู„ุงู‚ุฉ ุนูŠุงุด linear ู‡ุงูŠ
1416
+
1417
+ 355
1418
+ 00:31:32,240 --> 00:31:33,500
1419
+ input
1420
+
1421
+ 356
1422
+ 00:31:36,780 --> 00:31:42,540
1423
+ ู‡ูŠ output ุงูŠุด ูŠุนู†ูŠ input ูŠุนู†ูŠ outputุŸ ุนู†ุฏูŠ ู…ูŠุฒุงู†
1424
+
1425
+ 357
1426
+ 00:31:42,540 --> 00:31:49,060
1427
+ ุงู„ู…ูŠุฒุงู† ุงู„ range ุจุชุงุนุชู‡ ู…ู† ุณูุฑ ูƒูŠู„ูˆ ู„ุนุดุฑูŠู† ูƒูŠู„ูˆ ุงูˆ
1428
+
1429
+ 358
1430
+ 00:31:49,060 --> 00:31:54,120
1431
+ ู‚ู†ุนูƒ ู…ู† ุณูุฑ ู„ู…ูŠุฉ ูƒูŠู„ูˆ ุจูˆุฒู† ู…ูŠุฒุงู† ุจูˆุฒู† ู…ู† ุณูุฑ ู„ู…ูŠุฉ
1432
+
1433
+ 359
1434
+ 00:31:54,120 --> 00:32:00,120
1435
+ ุงู„ุงู† ุญุทูŠุช ุณูุฑ ุงูˆ ุงู„ู…ูŠุฒุงู† ู…ุด ุนุดุงู† ุนู„ูŠู‡ ุงู„ู…ูุฑูˆุถ
1436
+
1437
+ 360
1438
+ 00:32:00,120 --> 00:32:06,190
1439
+ ูŠุนุทูŠู†ูŠ ุงู„ู‚ุฑุงุกุฉ ุณูุฑ ุญุทูŠุช ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุฌุฑุงู…ุน ุงู„ู…ูŠุฒุงู†
1440
+
1441
+ 361
1442
+ 00:32:06,190 --> 00:32:12,870
1443
+ ู‚ุฑุฃ ู„ูŠ ู…ุซู„ุง ูˆุงุญุฏ
1444
+
1445
+ 362
1446
+ 00:32:12,870 --> 00:32:17,950
1447
+ ูˆ ุฎู…ุณูŠู† ู‡ูŠ
1448
+
1449
+ 363
1450
+ 00:32:17,950 --> 00:32:26,470
1451
+ ู†ู‚ุทุฉ ุญุทุช ู…ูŠุฉ ู‚ุฑุฃู„ูŠ
1452
+
1453
+ 364
1454
+ 00:32:26,470 --> 00:32:33,150
1455
+ ู…ุซู„ุง ู…ูŠุฉ ูˆ ูˆุงุญุฏ ุทุจุนุง ุงู†ุง ุจุนู…ู„ loading ุทุงู„ุน
1456
+
1457
+ 365
1458
+ 00:32:36,960 --> 00:32:41,480
1459
+ ู„ู…ุง ุจุฏูŠุช ุงุฎูู ุญุทูŠุช ุฎู…ุณูŠู† ุงู„ input ุงู„ุฎู…ุณูŠู† ุฏู‡ ุงูƒูŠุฏ
1460
+
1461
+ 366
1462
+ 00:32:41,480 --> 00:32:46,320
1463
+ ุฎู…ุณูŠู† ุงู†ุง ุนู†ุฏูŠ ูˆุฒู† ู…ุนุฑูˆู ุญุทูŠุช ุฎู…ุณูŠู† ุฑุงุญ ุงุนุทุงู†ูŠ
1464
+
1465
+ 367
1466
+ 00:32:46,320 --> 00:32:54,160
1467
+ ู…ุซู„ุง ููŠ ุงู„ .. ูˆ ู‡ูˆ ุฑุงุฌุน ุงุนุทุงู†ูŠ ุงู„ุชุณุนุฉ ูˆ ุฃุฑุจุนูŠู† ุดู„ุช
1468
+
1469
+ 368
1470
+ 00:32:54,160 --> 00:33:01,500
1471
+ ุงู„ุฎู…ุณูŠู† ุงุนุทุงู†ูŠ ู…ุซู„ุง ุนู†ุฏ
1472
+
1473
+ 369
1474
+ 00:33:01,500 --> 00:33:06,120
1475
+ ุณูุฑ ุงุนุทุงู†ูŠ ู…ุซู„ุง ูˆุงุญุฏ ู…ุซู„ุง
1476
+
1477
+ 370
1478
+ 00:33:09,680 --> 00:33:17,360
1479
+ ู‡ุฐุง ุงู„ input ู‡ุฐุง ุงูƒูŠุฏ 100% ุตุญ ู‡ุฐุง ุงูŠุด output ูู‰
1480
+
1481
+ 371
1482
+ 00:33:17,360 --> 00:33:20,940
1483
+ ุทุฑูŠู‚ุฉ ุงู†ู‡ ุง adjust ุงุฎู„ ุงู„ู…ูŠุฒุงู† ุงุฑุฌุน ู„ู„ูˆุถุน ุงู„ุทุจูŠุนู‰
1484
+
1485
+ 372
1486
+ 00:33:20,940 --> 00:33:24,580
1487
+ ุงู„ู„ู‰ ู‡ู‰ ุงู„ calibration ู‡ุฐุง ุงู„ู„ู‰ ุญูƒูŠุชู‡ ู‡ุฐุง ุญู†ุฌูŠู‡
1488
+
1489
+ 373
1490
+ 00:33:24,580 --> 00:33:28,800
1491
+ ุงุณู…ู‡ five point calibration five point calibration
1492
+
1493
+ 374
1494
+ 00:33:28,800 --> 00:33:33,890
1495
+ ุทุจุนุง ุจุนู…ู„ ุจุงุด ุจูˆุฏ ุจู†ุงุก ุงู„ุจูŠุงู†ุงุชุจุนู…ู„ statistical
1496
+
1497
+ 375
1498
+ 00:33:33,890 --> 00:33:38,330
1499
+ analysis ุจูˆุฌุฏ ุนู„ุงู‚ุฉ ู„ุฎุท ุจูŠูˆุฌุฏ ุงู„ linearity ุจูˆุฌุฏ ุงู„
1500
+
1501
+ 376
1502
+ 00:33:38,330 --> 00:33:43,330
1503
+ linearity ุฐุงุชู‡ ุจูˆุฌุฏ ุจูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ุงู„ zero offset
1504
+
1505
+ 377
1506
+ 00:33:43,330 --> 00:33:52,570
1507
+ zero offset ูˆููŠู‡ ุฃู† ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ู‡ูˆ
1508
+
1509
+ 378
1510
+ 00:33:52,570 --> 00:33:59,490
1511
+ ู…ุงุฑุฌุนุด ููŠ ุงู„ loading ู…ุงุฑุฌุนุด ุนู„ู‰ ู†ูุณ ุงู„ุฎุท ุจุญูŠุทู„ุน
1512
+
1513
+ 379
1514
+ 00:33:59,490 --> 00:34:02,390
1515
+ ู…ุงูŠุณู…ู‰ ุฃูŠุด ุงู„ hysteresis
1516
+
1517
+ 380
1518
+ 00:34:05,280 --> 00:34:12,420
1519
+ ู‡ุฐุง ูƒู„ู‡ ู‡ู†ุดุชุบู„ู‡ ุจุงู„ุชูุตูŠู„ ุทูŠุจ ุฅุฐุง
1520
+
1521
+ 381
1522
+ 00:34:12,420 --> 00:34:15,520
1523
+ ูƒุงู†๏ฟฝ๏ฟฝ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ output ุงู„ู„ูŠ ู‡ูˆ output ุงู„ู‚ุฑุงุกุฉ
1524
+
1525
+ 382
1526
+ 00:34:15,520 --> 00:34:19,420
1527
+ ุงู„ู„ูŠ ุจูŠุทูŠู‡ุง ุงู„ุฌู‡ุงุฒ ุงู„ input ู‡ูŠุดุŸ ุงู„ standard ..
1528
+
1529
+ 383
1530
+ 00:34:19,420 --> 00:34:22,980
1531
+ standard ุจุชุงุน ุงู„ูˆุฒู† ู‡ุฐุง ู‡ูˆ ุงู„ input ุฅุฐุง ูƒุงู† ุงู„
1532
+
1533
+ 384
1534
+ 00:34:22,980 --> 00:34:27,160
1535
+ output ุงู„ู„ูŠ ู‡ูŠ ู‚ุฑุงุกุฉ ุงู„ุฌู‡ุงุฒ ุชุชู†ุงุณุจ .. ุชู†ุงุณุจ ุฎุทูŠุง
1536
+
1537
+ 385
1538
+ 00:34:27,160 --> 00:34:32,320
1539
+ ุฃูˆ ุชุฑุถูŠุง ู…ุน ุงู„ input ุงู„ู„ูŠ ู‡ูˆ ุงู„ standardู…ู…ูƒู† ุงุนู…ู„
1540
+
1541
+ 386
1542
+ 00:34:32,320 --> 00:34:34,720
1543
+ calibration ููŠ ุงุณุชุฎุฏุงู… ู†ู‚ุทุฉ ูˆุงุญุฏุฉ ุงุญุท .. ุงุญุท ุนู„ูŠู‡
1544
+
1545
+ 387
1546
+ 00:34:34,720 --> 00:34:38,120
1547
+ ุฎู…ุณูŠู† ูƒูŠู„ูˆ ุงุฐุง ุตุญู†ูŠ ููŠ ุงู„ู…ูŠุงู† ุจุงุทูŠู† ุงูŠุดุŸ ุฎู…ุณูŠู†
1548
+
1549
+ 388
1550
+ 00:34:38,120 --> 00:34:45,860
1551
+ ูƒูŠู„ูˆ ุงู„ุงู† ู„ูˆ ุญุทูŠุช ุฎู…ุณูŠู† ูˆุนุทุงู†ูŠ ูˆุงุญุฏ ูˆุฎู…ุณูŠู† ูˆุญุทูŠุช
1552
+
1553
+ 389
1554
+ 00:34:45,860 --> 00:34:50,520
1555
+ ู…ูŠุฉ ูˆุนุทุงู†ูŠ ู…ูŠุฉ ูˆูˆุงุญุฏ ูˆุญุทูŠุช ุณุชูŠู† ูˆุนุทุงู†ูŠ ูˆุงุญุฏ ุณุชูŠู†
1556
+
1557
+ 390
1558
+ 00:34:50,520 --> 00:34:54,020
1559
+ ูˆุญุทูŠุช ุชู„ุงุชูŠู† ูˆุนุทุงู†ูŠ ูˆุงุญุฏ ุชู„ุงุชูŠู† ูˆุงุถุญ ุงู† ููŠ ุงุดูŠ
1560
+
1561
+ 391
1562
+ 00:34:54,020 --> 00:35:02,040
1563
+ ุฏุงุฆู…ุง ู…ุชูƒุฑุฑ ู‡ุฐุง ู…ุด random ู‡ุฐุงsystematic ูŠุนู†ูŠ ู„ูˆ
1564
+
1565
+ 392
1566
+ 00:35:02,040 --> 00:35:05,640
1567
+ ุฑูˆุญุช ุนู†ุฏ ู„ูˆ
1568
+
1569
+ 393
1570
+ 00:35:05,640 --> 00:35:12,620
1571
+ ุฑูˆุญุช ุนู†ุฏ ูˆุงุญุฏ ุจุจูŠุน ู„ุญู…ุฉ ูˆุงุญุฏ
1572
+
1573
+ 394
1574
+ 00:35:12,620 --> 00:35:19,340
1575
+ ุจุบุด ูŠุนู†ูŠ ุชุตุงุฑ ุงู„ู…ูˆุถูˆุน ู‡ุงู†ุฏูŠ ู‡ุงูŠ ู…ูŠุฒุงู† ู‡ุงูŠ
1576
+
1577
+ 395
1578
+ 00:35:19,340 --> 00:35:26,000
1579
+ ูƒูุฉ ูˆู‡ุงูŠ ู‡ุงูŠ ูƒูุฉ
1580
+
1581
+ 396
1582
+ 00:35:31,630 --> 00:35:36,350
1583
+ ูˆ ู‡ุงูŠ ุงู„ู…ูŠุฒุงู† ุงู†ุช
1584
+
1585
+ 397
1586
+ 00:35:36,350 --> 00:35:50,130
1587
+ ุชุญุท ุงู„ูˆุฒู† ู‡ู†ุง ู…ุซู„ุง ู‡ุงูŠ ุงู„ูˆุฒู† ู‡ู†ุง ุงู„ูˆุฒู†
1588
+
1589
+ 398
1590
+ 00:35:50,130 --> 00:35:51,830
1591
+ ู‡ู†ุง ูˆ ุชุญุท ุงู„ุดุบู„ ุงู„ู„ูŠ ุจุฏูƒ ุชูˆุฒู†ู‡ุง ู‡ู†ุง
1592
+
1593
+ 399
1594
+ 00:36:00,130 --> 00:36:03,650
1595
+ ู„ุงู† ู„ู…ุง ู†ุฑุฌุน ุญุงุฏุฉ ุงูˆ ุณูŠู†ุงูƒ ุจุงู„ุจุนุถ ู„ูˆุฒู† .. ู„ุฃ ูŠู…ูƒู†
1596
+
1597
+ 400
1598
+ 00:36:03,650 --> 00:36:08,410
1599
+ ุงุญุท ุงุดูŠ ุงู†ุง ุชุญุช ู‡ู†ุง ุงู„ู…ูุฑูˆุถ
1600
+
1601
+ 401
1602
+ 00:36:08,410 --> 00:36:14,730
1603
+ ุงู†ุง ุญุงุทุท ูƒูŠู„ูˆ ูŠุนุทูŠู†ูŠ ุงู†ุทุจุงุน ุงู† ู‡ูˆ ุนู†ุฏู‰ ูƒูŠู„ูˆ ู†ุต ู„ูˆ
1604
+
1605
+ 402
1606
+ 00:36:14,730 --> 00:36:20,770
1607
+ ุญุงุทุท ู…ุทุงุทุฉ ู…ุซู„ุง ู‡ู†ุง ู…ุงุดูŠ ู‡ูŠุนุทูŠู†ูŠ ูˆุฒู† ุบูŠุฑ ุญู‚ูŠู‚ูŠ ุงู†ุช
1608
+
1609
+ 403
1610
+ 00:36:20,770 --> 00:36:27,160
1611
+ ุดุงุฑูƒ ูƒูŠู„ูˆ ู„ุญู…ุฉ ู‡ูˆ ุงู†ุช ูุนู„ูŠุง ู…ูƒุชูˆุจ ูƒูŠู„ูˆุจุณ ู‡ูˆ ููŠ
1612
+
1613
+ 404
1614
+ 00:36:27,160 --> 00:36:34,920
1615
+ ุญู‚ูŠู‚ุฉ ุชุณุนุฉ ู…ุงุฆุฉ ุฌุฑุงู… ุญู‚ูŠู‚ุฉ ู‡ูˆ ุบุด ุจุทุฑูŠู‚ุฉ ู…ุนูŠู†ุฉ ุฎู„ู‘ู‰
1616
+
1617
+ 405
1618
+ 00:36:34,920 --> 00:36:38,160
1619
+ ุจุฏู„ ู…ู† ุฒูŠ ู…ุง ูŠุนุทูŠู‡ ูƒูŠู„ูˆ ุฎู„ู‘ุงู‡ ูŠุนุทูŠู‡ ุชุณุนุฉ ู…ุงุฆุฉ ุฌุฑุงู…
1620
+
1621
+ 406
1622
+ 00:36:38,160 --> 00:36:42,320
1623
+ ุทุจุนุง ู‡ุฏูˆู„ ุงู„ู…ุงุฆุฉ ุฌุฑุงู… ุงูˆ ุงู„ู…ุชูƒุฑุฑูŠู† ููŠ ูƒู„ ูˆุฒู†ุงุช
1624
+
1625
+ 407
1626
+ 00:36:42,320 --> 00:36:45,420
1627
+ ูˆุงุญุฏ ุดุฑุน ูƒูŠู„ูˆ ุงูˆ ุฎู…ุณุฉ ูƒูŠู„ูˆ ุงูˆ ุชู†ูƒุฑุฑ ููŠู‡ ุชูƒุฑุงุฑ ู‡ุฐุง
1628
+
1629
+ 408
1630
+ 00:36:45,420 --> 00:36:49,160
1631
+ ุจูŠุณู…ู‰ scale error ุงูˆ systematic error ู…ุด random
1632
+
1633
+ 409
1634
+ 00:36:49,160 --> 00:36:49,480
1635
+ error
1636
+
1637
+ 410
1638
+ 00:36:53,370 --> 00:36:57,630
1639
+ ู„ู†ูŠุฌูŠ ู„ู…ูˆุถูˆุน ุงู„ uncertainty ุงูŠุด ู…ุนู†ู‰ certainุŸ
1640
+
1641
+ 411
1642
+ 00:36:57,630 --> 00:37:06,450
1643
+ certain ุงู†ุง ู…ุชุฃูƒุฏ uncertain ู…ุด ุนุงุฑู ุงู†ุง ุนู†ุฏู‰ ู…ุดูŠุช
1644
+
1645
+ 412
1646
+ 00:37:06,450 --> 00:37:12,570
1647
+ ุนู„ู‰ ุทุฑูŠู‚ ู‡ู†ุง ูˆ .. ูˆ ุงู†ุง ุฑุงูŠุญ ูุนุงู„ ู…ูƒุงู† ู…ุญุฏุฏ ุงู„ู„ูŠ
1648
+
1649
+ 413
1650
+ 00:37:12,570 --> 00:37:16,110
1651
+ ู…ูˆุงุตูุงุช ู…ุนูŠู†ุฉ ุทู„ุนุช ู…ู† ุจุนูŠุฏ ุดูˆูุช ููŠ ุดุฌุฑุชูŠู† ู‡ู†ุง ูˆ ููŠ
1652
+
1653
+ 414
1654
+ 00:37:16,110 --> 00:37:19,090
1655
+ ุดุฌุฑุชูŠู† ู‡ู†ุง ูˆ ููŠ ุบูŠู…ุฉ ูˆ ุบูŠู…ุฉ ู†ูุณ ุฐู„ูƒ ุทุจ ูˆูŠู† ุงุฑูˆุญุŸ
1656
+
1657
+ 415
1658
+ 00:37:22,720 --> 00:37:26,880
1659
+ ุจุณ ู„ุงุฒู… ุชุฎุด ูŠุง ู‡ุฐุง ูŠุง ู‡ุฐุง ูุงุญุชู…ุงู„ ุงู†ูƒ ู„ูˆ ุงูŠ ูˆุงุญุฏ
1660
+
1661
+ 416
1662
+ 00:37:26,880 --> 00:37:31,500
1663
+ ููŠู‡ ุงุญุชู…ุงู„ ุชุธุจุท ู…ุนุงูƒ ู…ู…ูƒู† ู…ุง ุชุธุจุทุด ูู‡ุฐุง ุงู„
1664
+
1665
+ 417
1666
+ 00:37:31,500 --> 00:37:35,400
1667
+ uncertainty ุงู†ู‡ ููŠู‡ ู†ุณุจุฉ ุฎุทุฃ ุงูˆ ุฎู„ู„ ู„ุงู† ุงู„ error
1668
+
1669
+ 418
1670
+ 00:37:35,400 --> 00:37:40,780
1671
+ ุงูˆ ุงู„ุฎุทุฃ ุงู† ุจู‚ู‰ ุนู†ุฏูŠ caliper ู‡ูŠู† ุนู†ุฏูŠ ู‡ูŠู† ู‚ุทุนุฉ
1672
+
1673
+ 419
1674
+ 00:37:40,780 --> 00:37:46,200
1675
+ ู…ุนุฏู†ูŠุฉ ุจู‚ูŠุณ ู‚ุทุฑู‡ุงุงู„ุงู† ุงู„ู‚ุทุฑ ู‡ู†ุง ุงู„ู„ูŠ ุงู†ุง ุจู‚ูŠุณู‡ ู‡ูˆ
1676
+
1677
+ 420
1678
+ 00:37:46,200 --> 00:37:50,360
1679
+ ุงู„ุงุดูŠ ุงู„ุญู‚ูŠู‚ูŠ ุงู„ู‚ุทุฑ ุจู‚ูŠุณู‡ ู‡ูˆ ุงู„ุงุดูŠ ุงู„ุญู‚ูŠู‚ูŠ ูˆ
1680
+
1681
+ 421
1682
+ 00:37:50,360 --> 00:37:52,560
1683
+ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุจุดูˆูู‡ุง ู‡ูŠ ุงู„ measurement result
1684
+
1685
+ 422
1686
+ 00:37:52,560 --> 00:37:59,980
1687
+ ุงู„ู‚ุฑุงุกุฉ ุงู„ error ู‡ูˆ ุงู„ measurement result ู†ุงู‚ุต
1688
+
1689
+ 423
1690
+ 00:37:59,980 --> 00:38:05,520
1691
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ error ู‡ูŠ ุงู„ result ู‡ุฐุง ุงู„ู…ู‚ุฑูˆุน
1692
+
1693
+ 424
1694
+ 00:38:05,520 --> 00:38:08,420
1695
+ ู‡ู†ุง ูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ูู‰ ุญุฏ ูŠุนุฑู ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
1696
+
1697
+ 425
1698
+ 00:38:08,420 --> 00:38:11,460
1699
+ ู…ู…ูƒู†
1700
+
1701
+ 426
1702
+ 00:38:11,460 --> 00:38:15,520
1703
+ ู†ุจุตู†ุงู…ุงููŠุด ุญุฏ ุจูŠุนุฑู ุงู„ุฏู†ูŠุง ุงู„ู…ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู…ุงููŠุด
1704
+
1705
+ 427
1706
+ 00:38:15,520 --> 00:38:18,000
1707
+ ุญุฏ ุจุชุนุฑู ุงู„ู„ูŠุด ู„ุฃู† ุฃุณุงุณุง ุงู„ standards ููŠู‡ุง ุฎุทุฃ
1708
+
1709
+ 428
1710
+ 00:38:18,000 --> 00:38:23,320
1711
+ ูƒู…ุงู† ู…ุงููŠ ุญุฏ ุจูŠุนุฑู ุงู„ู„ูŠุด ุงุณู…ู‡ ุงุญู†ุง ุงู„ู„ูŠ ุจู†ุนุฑูู‡
1712
+
1713
+ 429
1714
+ 00:38:23,320 --> 00:38:26,120
1715
+ ุจู†ุนุฑูู‡ ุงู„ measurement value ู‡ุฐุง ุฃูƒูŠุฏ ุจู†ุนุฑูู‡ ู„ูˆ
1716
+
1717
+ 430
1718
+ 00:38:26,120 --> 00:38:30,860
1719
+ ุงุญู†ุง ุจู†ู‚ุฑุฃู‡ุง ุฃุธู‡ุฑ ุงุญู†ุง ุตุงู†ุฏุฑ ุงุญู†ุง we know for sure
1720
+
1721
+ 431
1722
+ 00:38:30,860 --> 00:38:36,000
1723
+ ุงู„ measured value we don't know the true value ู…ูŠุฉ
1724
+
1725
+ 432
1726
+ 00:38:36,000 --> 00:38:41,690
1727
+ ููŠ ุงู„ู…ูŠุฉ ุจู†ุนุฑูู‡ุงุดand so we do not know the error
1728
+
1729
+ 433
1730
+ 00:38:41,690 --> 00:38:46,890
1731
+ either ุงุญู†ุง ู…ุด ุนุงุฑููŠู† ุงู„ error ุจุงู„ุธุจุท ุทูŠุจ ุงุฐุง ุงุญู†ุง
1732
+
1733
+ 434
1734
+ 00:38:46,890 --> 00:38:49,850
1735
+ ู…ุด ุนุงุฑููŠู† ุงู„ error 100% ู‡ู„ ู‡ุฐุง ูŠุนู†ูŠ ู…ุงููŠุด ุทุฑู‚
1736
+
1737
+ 435
1738
+ 00:38:49,850 --> 00:38:58,190
1739
+ ู„ุชูˆู‚ุนู‡ ุงูˆ ู‚ูŠุงุณู‡ ู„ุฃ ููŠู‡ ุทุฑู‚ ู„ุชูˆู‚ุน ูˆ ู‚ูŠุงุณ ุงู„ error
1740
+
1741
+ 436
1742
+ 00:38:58,190 --> 00:39:02,630
1743
+ ุจุทุฑูŠู‚ุฉ ุงุญุตุงุฆูŠุฉ if
1744
+
1745
+ 437
1746
+ 00:39:02,630 --> 00:39:06,330
1747
+ we estimate a likely upper bound on magnitude ูŠุนู†ูŠ
1748
+
1749
+ 438
1750
+ 00:39:06,330 --> 00:39:13,070
1751
+ ู‡ูƒุฐุง ุงู† ู‡ุฐุง ุงู„ุฌู‡ุงุฒุจู‚ูŠุณ ุจูŠุทูŠู„ูƒ ุงู‚ุฑุง plus ุฏู‚ุชู‡ plus
1752
+
1753
+ 439
1754
+ 00:39:13,070 --> 00:39:19,450
1755
+ ูˆุงุญุฏ ู…ู„ูŠ minus ูˆุงุญุฏ ู…ู„ูŠ ูŠุนู†ูŠ ู„ูˆ ู‚ูŠุตุช ุนุดุฑุฉ ุงูƒูŠุฏ ุงู„
1756
+
1757
+ 440
1758
+ 00:39:19,450 --> 00:39:23,130
1759
+ error ุงูƒูŠุฏ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุชูƒูˆู† ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
1760
+
1761
+ 441
1762
+ 00:39:23,130 --> 00:39:26,670
1763
+ ุจูŠู† ุงู„ุชุณุนุฉ ูˆุงู„ุงุญุฏุงุดุฑ ู„ูˆ ุญูƒูŠุช ูˆุงู„ู„ู‡ ุงู„ error ุชุจุนู‡
1764
+
1765
+ 442
1766
+ 00:39:26,670 --> 00:39:30,150
1767
+ ู‡ุฐุง ุงู„ู…ุชูˆู‚ุน ุงู„ bound ู…ุซู„ุง point one millimeter
1768
+
1769
+ 443
1770
+ 00:39:30,150 --> 00:39:35,650
1771
+ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ูŠุนู†ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุจูŠู† ุงู„ุชุณุนุฉ point
1772
+
1773
+ 444
1774
+ 00:39:35,650 --> 00:39:40,110
1775
+ ุชุณุนุฉูˆุงู„ุนุดุฑุฉ point one ุงูƒูŠุฏ for sure ู„ุงู† ุงู†ุง ู‡ุญุท
1776
+
1777
+ 445
1778
+ 00:39:40,110 --> 00:39:44,990
1779
+ ุงู†ุง upper pound ู‚ูŠู…ุฉ ุนู„ูŠู‡ ูˆู‚ูŠู…ุฉ ูŠุงุด ุณูู„ุฉ ุฏู†ูŠุง
1780
+
1781
+ 446
1782
+ 00:39:44,990 --> 00:39:48,990
1783
+ ูุงูƒูŠุฏ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฌุงูŠ ูู‰ ุงู„ range ูู‰ ุงู„ range
1784
+
1785
+ 447
1786
+ 00:39:48,990 --> 00:39:53,170
1787
+ ู‡ุฐุง ูุงู†ุง ุจู‚ุฏุฑ ุงุญุท upper pound ูˆlower pound
1788
+
1789
+ 448
1790
+ 00:39:53,170 --> 00:39:58,430
1791
+ ูˆุจุงู„ุชุงู„ูŠ ุงู„ error ู…ุด ู‡ูŠูƒูˆู† ุงูƒุชุฑ ู…ู† ุงู„ upper pound
1792
+
1793
+ 449
1794
+ 00:39:58,430 --> 00:39:59,310
1795
+ ุงูˆ ุงู„ lower pound
1796
+
1797
+ 450
1798
+ 00:40:02,220 --> 00:40:06,500
1799
+ ุทุจุนุง ุจุญุท level of confidence ูŠุนู†ูŠ ุจุญูƒูŠู„ูƒ ุงู† ุงู„
1800
+
1801
+ 451
1802
+ 00:40:06,500 --> 00:40:13,560
1803
+ error .. ุงู„ error ู‡ูŠูƒูˆู† ุนุดุฑ ู…ู„ูŠ ุจ confidence ุฎู…ุณูŠู†
1804
+
1805
+ 452
1806
+ 00:40:13,560 --> 00:40:18,560
1807
+ ููŠ ุงู„ู…ูŠุฉ ุงู†ุง ู…ุชุฃูƒุฏ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุงู„ error ู‡ูŠูƒูˆู†
1808
+
1809
+ 453
1810
+ 00:40:18,560 --> 00:40:21,640
1811
+ ู…ุด ู‡ูŠุฒูŠุฏ ุนู† point one ู…ู…ูƒู† ุงุญูƒูŠ ุงุนู„ูŠ ุงู„ confidence
1812
+
1813
+ 454
1814
+ 00:40:21,640 --> 00:40:25,660
1815
+ ุงุญูƒูŠ ุชุณุนุฉ ูˆ ุณุชูŠู† ููŠ ุงู„ู…ูŠุฉ ุงู„ูˆุฑุงู†ุฏูŠ ู…ุด ู‡ูŠุฒูŠุฏ ุนู†
1816
+
1817
+ 455
1818
+ 00:40:25,660 --> 00:40:29,370
1819
+ point one ุจ confidence ุชุณุนุฉ ูˆ ุณุชูŠู† ููŠ ุงู„ู…ูŠุฉุฃูˆ ุฃุญูƒูŠ
1820
+
1821
+ 456
1822
+ 00:40:29,370 --> 00:40:31,870
1823
+ ูˆุงู„ู„ู‡ ุงู„ error ุจ confidence ุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ุด ู‡ุฒูŠุฏ
1824
+
1825
+ 457
1826
+ 00:40:31,870 --> 00:40:41,410
1827
+ ุนู† point one ุฃู†ุง ุงู„ู„ูŠ ุจุญุฏุฏ ุงู„ confidence to
1828
+
1829
+ 458
1830
+ 00:40:41,410 --> 00:40:48,070
1831
+ estimate the size of errors ุนุดุงู† ุฃุญุณุจ ุญุฌู… ุงู„ุฎุทุฃwe
1832
+
1833
+ 459
1834
+ 00:40:48,070 --> 00:40:51,630
1835
+ must have some understanding of their causes and
1836
+
1837
+ 460
1838
+ 00:40:51,630 --> 00:40:55,090
1839
+ classifications ุนุดุงู† ุฃุญุฏุฏ ุญุฌู… ุงู„ุฎุทุฃ ู„ุงุฒู… ุฃูู‡ู…
1840
+
1841
+ 461
1842
+ 00:40:55,090 --> 00:41:02,010
1843
+ ู…ุณุจุจุงุชู‡ุง ูˆ ุชุตู†ูŠูุงุชู‡ุง ุงู„ุขู† ุงู„ errors ู…ู…ูƒู† ุชุตู†ู ุนู„ู‰
1844
+
1845
+ 462
1846
+ 00:41:02,010 --> 00:41:09,110
1847
+ ู†ูˆุนูŠู† ุฃุณุงุณูŠูŠู† ุงู„ู„ูŠ ู‡ูŠ bias or systematic error ุงูˆ
1848
+
1849
+ 463
1850
+ 00:41:09,110 --> 00:41:14,330
1851
+ precision or random error ูŠุนู†ูŠ bias ุงูˆ ุงู„ุฎุทุฃ
1852
+
1853
+ 464
1854
+ 00:41:14,330 --> 00:41:22,200
1855
+ ุงู„ุนุดูˆุงุฆูŠุงู„ูุฑู‚ ุจูŠู† ุงู„ุงุชู†ูŠู† ุนู†ุฏูŠ ู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
1856
+
1857
+ 465
1858
+ 00:41:22,200 --> 00:41:28,480
1859
+ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ random error ุงุญู†ุง ุจู†ูƒูˆู† ุนู†
1860
+
1861
+ 466
1862
+ 00:41:28,480 --> 00:41:32,060
1863
+ ุฌู‡ุชูŠู† ู…ู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ we fluctuate up and down
1864
+
1865
+ 467
1866
+ 00:41:32,060 --> 00:41:37,820
1867
+ before and after ูˆู‡ูŠ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ุงู† ู„ูˆ ูƒู†ุช
1868
+
1869
+ 468
1870
+ 00:41:37,820 --> 00:41:43,300
1871
+ systemic error ุจุชูƒูˆู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ูŠุง ุงู…ุง ุนู„ู‰
1872
+
1873
+ 469
1874
+ 00:41:43,300 --> 00:41:47,710
1875
+ ุงู„ุดู…ุงู„ุฃูˆ ุนู„ู‰ ูŠู…ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ
1876
+
1877
+ 470
1878
+ 00:41:47,710 --> 00:41:51,710
1879
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ true value ุงู„ู‚ูŠู…ุฉ ุงู„ู…ู‚ุงุณุฉ ุจุชูƒูˆู† ููŠู‡ุง
1880
+
1881
+ 471
1882
+ 00:41:51,710 --> 00:41:56,450
1883
+ offset ู…ุฒุงู‡ุฌู‡ุง ู…ุงู†ุช ููŠุด systematic ููŠุด ุฅุฑุฑ ู…ุนูŠู† ุฒูŠ
1884
+
1885
+ 472
1886
+ 00:41:56,450 --> 00:42:02,230
1887
+ ุญูƒุงูŠุฉ ุงู„ู…ูŠุฒุงู† ุจุชุงุน ุงู„ู„ุญู…ุฉ ู‡ูˆ ุญุทู„ูƒ ..ุนู…ู„ูƒ ุญุฑูƒุฉ ุจุญูŠุซ
1888
+
1889
+ 473
1890
+ 00:42:02,230 --> 00:42:05,730
1891
+ ุงู„ .. ุงู„ kilo ูุนู„ูŠุง ูŠูƒูˆู† point ุชู…ุงู†ูŠุฉ ุฃูˆ point
1892
+
1893
+ 474
1894
+ 00:42:05,730 --> 00:42:11,930
1895
+ ุชุณุนุฉ ูููŠ bias ููŠ ุนูŠุด ููŠ bias ุฅุฒุงุญุฉ ู„ู„ู‚ุฑุงุกุฉ ู‡ุฐุง
1896
+
1897
+ 475
1898
+ 00:42:11,930 --> 00:42:17,300
1899
+ systematica result is said to be accurate ุงู„ู†ุชูŠุฌุฉ
1900
+
1901
+ 476
1902
+ 00:42:17,300 --> 00:42:23,200
1903
+ ุจุณู…ูŠู‡ุง ุฏู‚ูŠู‚ุฉ if it is free from systematic error
1904
+
1905
+ 477
1906
+ 00:42:23,200 --> 00:42:27,000
1907
+ ุฅุฐุง ู…ุงููŠุด systematic error ูŠุนู†ูŠ ู‡ุฐุง ุจุณู…ูŠู‡ุง
1908
+
1909
+ 478
1910
+ 00:42:27,000 --> 00:42:32,800
1911
+ inaccurate inaccurate ู‡ุฐุง ุจุณู…ูŠู‡ุง inaccurate ู„ูŠุดุŸ
1912
+
1913
+ 479
1914
+ 00:42:32,800 --> 00:42:39,100
1915
+ ู…ุงููŠุด ููŠู‡ุง systematic error ุงู„ error ุฅูŠุดุŸ random a
1916
+
1917
+ 480
1918
+ 00:42:39,100 --> 00:42:45,680
1919
+ result is said to be precise if the random erroris
1920
+
1921
+ 481
1922
+ 00:42:45,680 --> 00:42:50,360
1923
+ small ุฅุฐุง
1924
+
1925
+ 482
1926
+ 00:42:50,360 --> 00:42:55,380
1927
+ ูƒุงู† ูŠุนู†ูŠ .. ูŠุนู†ูŠ ุนู†ุฏูŠ ู‡ุฐู‡ ุจูŠุตูŠุฑ ุฃู‚ู„ ู„ุจุชุนุฏ ุนู† ุงู„
1928
+
1929
+ 483
1930
+ 00:42:55,380 --> 00:43:00,800
1931
+ true value ุฃู‚ู„ ุจุณู…ูŠู‡ุง precise accurate as if ุงู„ุดูŠ
1932
+
1933
+ 484
1934
+ 00:43:00,800 --> 00:43:06,360
1935
+ ู‡ุงูŠุงุด ู†ุณุจูŠุง ุจุชูƒูˆู† ุฎุงู„ูŠุฉ ู…ู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ systematic
1936
+
1937
+ 485
1938
+ 00:43:06,360 --> 00:43:10,580
1939
+ error ุจุณู…ูŠู‡ุง accurate precise ุฅุฐุง ุงู„ variation ุนู†
1940
+
1941
+ 486
1942
+ 00:43:10,580 --> 00:43:13,820
1943
+ ุงู„ true value ู…ุด ุจุนูŠุฏุฉ ูŠุนู†ูŠ ุจุณู…ูŠู‡ุง precise
1944
+
1945
+ 487
1946
+ 00:43:18,210 --> 00:43:27,830
1947
+ ุงู„ู€ run ูŠูƒูˆู† ุงูŠุด ุตุบูŠุฑุฉ ุนู†ุฏ
1948
+
1949
+ 488
1950
+ 00:43:27,830 --> 00:43:35,510
1951
+ ู‡ู†ุง ู†ุจูŠู† curve ู„ู‚ูŠุงุณ
1952
+
1953
+ 489
1954
+ 00:43:35,510 --> 00:43:40,250
1955
+ ู…ุนูŠู† ู†ุญูƒูŠ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู‚ูŠุงุณ ุงู„ูˆุฒู† ู‡ุฐู‡ ุชู…ุซู„ ุงูŠุด
1956
+
1957
+ 490
1958
+ 00:43:40,250 --> 00:43:44,390
1959
+ ุงู„ input ุงู„ input ุงูŠุด ุงู„ standard ุงู„ู„ูŠ ู‡ูŠ ูƒุชู„
1960
+
1961
+ 491
1962
+ 00:43:44,390 --> 00:43:51,850
1963
+ ุฃูˆุฒุงู†ู‡ุง ุงูŠุดู…ุนุฑูˆูุฉ ุงู„ output ู…ุด ุชู…ุซู„ ุงู„ู‚ุฑุงุกุฉ
1964
+
1965
+ 492
1966
+ 00:43:51,850 --> 00:43:57,210
1967
+ ุชุญุช ุงู„ุฌู‡ุงุฒ ู‡ูˆ ุจูŠู‚ุฑุฃู„ูŠ ูˆุฒู† ูƒุชู„ุฉ ูุงู†ุง ู…ุซู„ุง ู‡ูŠู†ุฏูŠ
1968
+
1969
+ 493
1970
+ 00:43:57,210 --> 00:44:05,690
1971
+ ุนุดุฑุฉ ุงู„ input ุนุดุฑุฉ ูƒูŠู„ูˆ ุงุนุชู‚ุฏ ู…ุซู„ุง ู‡ูŠู† ุชู„ุชุงุด
1972
+
1973
+ 494
1974
+ 00:44:05,690 --> 00:44:11,580
1975
+ ุงุฑุจุนุชุงุดู„ุฃู† ู‡ู†ุง input ู‡ู†ุง output ุจุนู…ู„ plot ุจุนุฏูŠู†
1976
+
1977
+ 495
1978
+ 00:44:11,580 --> 00:44:17,620
1979
+ ุจุนู…ู„ linear fit ูƒูˆูŠุณ ู„ุญุธุฉ ุงู„ุฎุท ุงู„ุญู‚ูŠู‚ูŠ ู‡ุฐุง ุทุจุนุง
1980
+
1981
+ 496
1982
+ 00:44:17,620 --> 00:44:24,880
1983
+ ุงูŠุด ู‡ุฐุง ุงู„ observed ูˆู‡ุฐุง ุงู„ู„ูŠ ู„ุงุฒู… ูŠูƒูˆู† ูŠุนู†ูŠ ุนุดุฑุฉ
1984
+
1985
+ 497
1986
+ 00:44:24,880 --> 00:44:29,300
1987
+ ุชู„ุงุชูŠู† ุนุดุฑุฉ ู…ูุฑูˆุถ ุนุดุฑ ุนุดุฑูŠู† ุชู„ุงุชูŠู† ุนุดุฑูŠู† ู…ูุฑูˆุถ
1988
+
1989
+ 498
1990
+ 00:44:29,300 --> 00:44:33,030
1991
+ ุชู„ุงุชูŠู† ุชู„ุงุชูŠู† ุงุฑุจุนูŠู† ุงุฑุจุนูŠู† ูˆู‡ุง ูƒุฐุงู‡ุฐุง ู„ุงุฒู… ูŠูƒูˆู†
1992
+
1993
+ 499
1994
+ 00:44:33,030 --> 00:44:36,410
1995
+ ู„ูƒู† ู‡ุฐุง ู‡ูˆ ูˆุงู‚ุน ุงู„ุญุงู„ .. ูˆุงู‚ุน ุงู„ุญุงู„ ู„ู…ุง ุงุนู…ู„ุช ุงู„ุฎุท
1996
+
1997
+ 500
1998
+ 00:44:36,410 --> 00:44:40,790
1999
+ ู‡ุฐุง ุงู„ุญู‚ูŠู‚ูŠ ุงู„ุฌู‡ุงุฒ ุทู„ุน ุจู‚ูŠู…ุฉ ู‚ุฑุงุกุฉ 100% ุชุจู‚ู‰ ู„ู„
2000
+
2001
+ 501
2002
+ 00:44:40,790 --> 00:44:50,050
2003
+ standard ุงู„ุขู† ุงูŠ ุฌู‡ุงุฒ ุงุณุชูŠุฑูŠูˆ .. ุงูŠ ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงูุชุญ
2004
+
2005
+ 502
2006
+ 00:44:50,050 --> 00:44:52,950
2007
+ ุงู„ูƒุชู„ูˆุฌ ุงู„ุชุงุน ุงู„ูˆุฑู‚ูŠ ุงู„ู„ูŠ ุตุบูŠุฑุฉ ู‡ุฐู‡ ู„ู…ุฌุงุฒ ุญุฑุงุฑุฉ
2008
+
2009
+ 503
2010
+ 00:44:52,950 --> 00:44:57,590
2011
+ ู…ุซู„ุง ุจูŠูƒูˆู† ูŠุนุทูŠูƒ ู…ุนู„ูˆู…ุฉ ู‡ูƒุชุจ ู„ูƒ ุงู„ู…ุตู†ุน ูƒุงุชุจ
2012
+
2013
+ 504
2014
+ 00:44:57,590 --> 00:45:02,420
2015
+ ุงู„ู„ูŠู†ูŠุฑุชูŠูˆุงู„ูƒุงุชุจ ุงู„ standard deviation ูˆ ุงู„ zero
2016
+
2017
+ 505
2018
+ 00:45:02,420 --> 00:45:05,500
2019
+ offset ูˆ ุงู„ hysteresis ูƒู„ู‡ุง ุงู„ู„ูŠ ู…ุงุจุชูƒูˆู† ุญุงุทุทู‡ุง ููŠ
2020
+
2021
+ 506
2022
+ 00:45:05,500 --> 00:45:13,340
2023
+ ุงู„ูƒุชุงู„ูˆุฌูŠ ุทุจุนุง ุงู„ู„ุญุธุฉ ู‡ูˆ ูŠุนู†ูŠ ุทุจุนุง ููŠ ุจูŠุงู†ุงุช
2024
+
2025
+ 507
2026
+ 00:45:13,340 --> 00:45:17,520
2027
+ loading ูˆ ููŠ ุจูŠุงู†ุงุช unloading ุฅุฐุง ุจู…ุดูŠ ุนู„ู‰ ุงู„
2028
+
2029
+ 508
2030
+ 00:45:17,520 --> 00:45:21,840
2031
+ loading line ูˆ ุจุฑุฌุน ุงู„ unloading line ุนู„ู‰ ุงู„ุฃุบู„ุจ
2032
+
2033
+ 509
2034
+ 00:45:21,840 --> 00:45:24,220
2035
+ ู…ุงุจู†ุทุจู‚ูˆุด ู…ุน ุจุนุถู‡ุง ุฏูŠ ู…ุง ุชุณู…ู‰ ุงู„ hysteresis
2036
+
2037
+ 510
2038
+ 00:45:29,460 --> 00:45:34,620
2039
+ ุงู„ู€ zero offset ู‡ุฐู‡ ู‡ูŠ ู‡ุฐุง
2040
+
2041
+ 511
2042
+ 00:45:34,620 --> 00:45:43,780
2043
+ ุงู„ zero offset ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ู„ุญู…ุฉ ู‡ุฐู‡ ุงู„ู…ูุฑูˆุถ ู‡ูˆ
2044
+
2045
+ 512
2046
+ 00:45:43,780 --> 00:45:50,080
2047
+ ู„ู…ุง ู†ูุด ูˆุฒู† ูŠุนุทูŠู†ูŠ ุงูŠุดุŸ zero ู„ูƒู† ู‡ูˆ ุฃุนุทุงู‡ ู„ูŠู‡
2048
+
2049
+ 513
2050
+ 00:45:50,080 --> 00:45:55,120
2051
+ ุงุชู†ูŠู† ูƒูŠู„ูˆ ู…ุซู„ุง ุฒูˆุฏ ุนู„ูŠุง ูููŠู‡ zero offset ู‡ุฐู‡ ุชุณู…ู‰
2052
+
2053
+ 514
2054
+ 00:45:55,120 --> 00:46:02,360
2055
+ ุงูŠุดุŸ systematic errorุงู„ู‡ุง ุญู„ ู„ูƒู† ู…ุงููŠุด ู„ู‡ุง ุชู‚ุฏูŠุฑ
2056
+
2057
+ 515
2058
+ 00:46:02,360 --> 00:46:07,540
2059
+ ุจุงุณุชุฎุฏุงู… ุทุฑู‚ ุงู„ุงุญุตุงุก ู…ุซู„ุง
2060
+
2061
+ 516
2062
+ 00:46:07,540 --> 00:46:10,600
2063
+ ู‡ูƒุฐุง the zero offset represents one type of
2064
+
2065
+ 517
2066
+ 00:46:10,600 --> 00:46:18,580
2067
+ systematic error ู…ุซุงู„
2068
+
2069
+ 518
2070
+ 00:46:18,580 --> 00:46:25,320
2071
+ ุชุงู†ูŠ ููŠ ุณูƒุจ ุงู„ู…ุนุฏู† ุงู„ู…ุนุฏู†
2072
+
2073
+ 519
2074
+ 00:46:25,320 --> 00:46:34,480
2075
+ ุจูŠูƒูˆู† ุณุฎู†ู„ู…ุง ู†ุณูƒุจู‡ ููŠ ุงู„ู‚ุงู„ุจ ุจูŠุจุฑุฏ ู„ู…ุง ู†ุจุฑุฏ ุจู†ูƒู…ุด
2076
+
2077
+ 520
2078
+ 00:46:34,480 --> 00:46:40,320
2079
+ ู…ุนู†ุงุชู‡ ุนุดุงู† ุฃุทู„ุน ุงู„ final dimensions ุตุญ ู„ุงุฒู… ูŠูƒูˆู†
2080
+
2081
+ 521
2082
+ 00:46:40,320 --> 00:46:44,400
2083
+ ุงู„ู‚ุงู„ุจ ุงู„ู„ูŠ ุญุท ููŠ ุงู„ุญุฏูŠุฏ ุงู„ู…ุณุงุทุฑ ุฃูƒุจุฑ ุนุดุงู† ู„ู…ุง
2084
+
2085
+ 522
2086
+ 00:46:44,400 --> 00:46:49,140
2087
+ ู†ูƒู…ุด ู†ูƒู…ุด ู„ู„ูˆุถุน ุงู„ู†ู‡ุงุฆูŠ ุงู„ู„ูŠ ุจูŠุฏูŠู‡ุง ุนุดุงู† ุจูŠุนู…ู„ูŠู†
2088
+
2089
+ 523
2090
+ 00:46:49,140 --> 00:46:53,940
2091
+ ู…ุตุทุฑุฉ ุงุณู…ู‡ุง shrink rule roller ู…ุตุทุฑุฉ shrink ููŠ
2092
+
2093
+ 524
2094
+ 00:46:53,940 --> 00:46:59,170
2095
+ ู…ุตุงุทุฑ ุจูŠูƒูˆู† ููŠู‡ุง ู…ุซู„ุง ุงู„ุญุฏูŠุฏ ุงู„ู…ุณูƒูˆุจcast steel
2096
+
2097
+ 525
2098
+ 00:46:59,170 --> 00:47:03,010
2099
+ shrinks in cooling by about 2% ูŠุนู†ูŠ ุฅุฐุง ุญุทูŠุช ุญุฏูŠุฏ
2100
+
2101
+ 526
2102
+ 00:47:03,010 --> 00:47:09,850
2103
+ ู…ู† ุงู„ุตู‡ุฑ ูˆ ุณุจุช ูŠุจุฑุฏ ุจู†ูƒู…ุด ููŠ ู…ุนุฏู„ 2% 2% ุงู„ุทูˆู„ ุจู‚ู„
2104
+
2105
+ 527
2106
+ 00:47:09,850 --> 00:47:17,030
2107
+ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ู…ูŠุฉ ุทูˆู„ ุจูŠุตูŠุฑ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ู„ู…ุง
2108
+
2109
+ 528
2110
+ 00:47:17,030 --> 00:47:21,090
2111
+ ู†ูŠุจุฑุฏ ู…ูŠุฉ ุจูŠุตูŠุฑ .. ุจุฎุณุฑ 2% ุจูŠุตูŠุฑ point ุชุณุนุฉ ุชู…ุงู†ูŠุฉ
2112
+
2113
+ 529
2114
+ 00:47:21,090 --> 00:47:26,190
2115
+ ูุงู„ู…ุตุทุฑ ู‡ุฐุง ุงู„ุจูŠุงู†ุงุช ุฏูŠ ุงู„ shrinkage ููŠู‡ุง ุงู„ุงู†ูƒู…ุงุด
2116
+
2117
+ 530
2118
+ 00:47:26,190 --> 00:47:31,290
2119
+ ูˆุงุญุฏ ููŠ ุงู„ู…ูŠุฉู„ู…ุง ุงู‚ูŠุต ููŠ ุงู„ู…ุตุทุฑ ู‡ุฐู‡ ูŠุธู‡ุฑ ุงู† ุงู†ุง
2120
+
2121
+ 531
2122
+ 00:47:31,290 --> 00:47:36,350
2123
+ ู„ุฏูŠ ุชู…ุงู†ูŠุฉ .. ุชู…ุงู†ูŠุฉ ุตู†ุทุฉ ุงูˆ ู†ุญูƒูŠ ุนุดุฑุฉ ุตู†ุทุฉ ุงูˆ
2124
+
2125
+ 532
2126
+ 00:47:36,350 --> 00:47:39,930
2127
+ ุฎู„ู†ุง ู†ุญูƒูŠ ู…ุงุฆุฉ ุตู†ุทุฉ ู‚ุต ููŠ ุงู„ู…ุตุทุฑ ู‡ุฐู‡ ู…ุงุฆุฉ ุตู†ุทุฉ
2128
+
2129
+ 533
2130
+ 00:47:39,930 --> 00:47:44,710
2131
+ ู…ุงุฆุฉ
2132
+
2133
+ 534
2134
+ 00:47:44,710 --> 00:47:48,510
2135
+ ุตู†ุทุฉ ู‡ุฐู‡ ู…ุนู…ูˆู„ุฉ ุนุดุงู† ู‚ูŠุงุณุงุช ุงู„ู‚ุงู„ุจ ู…ุด ุนุดุงู† ู‚ูŠุงุณุงุช
2136
+
2137
+ 535
2138
+ 00:47:48,510 --> 00:47:53,810
2139
+ ุงู„ู‚ุทุนุฉ ูŠุนู†ูŠ ุจุนุฏ ู…ุง ุทู„ุนุช ุงู„ู‚ุทุนุฉ ู…ู† ุงู„ู‚ุงู„ุจ ูˆ ู‚ุตุชู‡ุง
2140
+
2141
+ 536
2142
+ 00:47:53,810 --> 00:47:58,710
2143
+ ุทู„ุนุช ู…ุงุฆุฉ ุตู†ุทุฉ ู…ุงู†ุนุช ููŠู‡ ุบู„ุท ุนู†ุฏูƒู„ุฃู† ู‡ุฐู‡ ู…ุด ู…ูŠุฉุŒ
2144
+
2145
+ 537
2146
+ 00:47:58,710 --> 00:48:04,150
2147
+ ู‡ุฐู‡ ู…ูŠุฉ ูˆ ุงุชู†ูŠู†ุŒ ู…ุธุจูˆุทุŸ ููŠ ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉ ุฒูŠุงุฏุฉุŒ
2148
+
2149
+ 538
2150
+ 00:48:04,150 --> 00:48:07,710
2151
+ ู‡ุฐู‡ ู…ูŠุฉ ูˆ ุงุชู†ูŠู†ุŒ ุงู„ู…ุนู†ู‰ ู‡ูˆ ู„ูˆ ูˆุงุญุฏ ุจุงู„ุบู„ุท ู…ุงูŠุนุฑูุด
2152
+
2153
+ 539
2154
+ 00:48:07,710 --> 00:48:12,110
2155
+ ุฃู† ู‡ุฐู‡ ุฑุงุญ ุดุงุฑู‡ ู…ุตุทุฑุฉุŒ ุฑุงุญ ุนุฑู ูˆ ุดุงุฑู‡ ู…ุตุทุฑุฉ ูˆ ุดุงุฑู‡
2156
+
2157
+ 540
2158
+ 00:48:12,110 --> 00:48:16,510
2159
+ ู…ุตุทุฑุฉ ุงู„ุดุฑูŠู†ูƒุŒ ู…ุตุทุฑุฉ ู…ุด ุนุงุฏูŠุฉุŒ ูˆุตุงุฑ ุงุณุชุฎุฏู…ู‡ุง ุนู†ุฏู‡
2160
+
2161
+ 541
2162
+ 00:48:16,510 --> 00:48:17,270
2163
+ ุจุฑุตู… ููŠ ุงู„ุฏุงุฑ
2164
+
2165
+ 542
2166
+ 00:48:20,070 --> 00:48:23,350
2167
+ ู…ุนู†ุงุชู‡ ูƒู„ ุงู„ู‚ูŠุงุณุงุช ุงู„ู„ูŠ ุจูŠุทู„ุนู‡ุง ููŠู‡ ุฏุงูŠู…ุง ููŠู‡ุง
2168
+
2169
+ 543
2170
+ 00:48:23,350 --> 00:48:28,890
2171
+ ุฒูŠุงุฏุฉ ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉ ู‡ูˆ ู…ุด ุนุงุฑู ููŠู‡ุง ุฏุงูŠู…ุง ุงูŠุงุด
2172
+
2173
+ 544
2174
+ 00:48:28,890 --> 00:48:35,650
2175
+ ุฒูŠุงุฏุฉ ู‡ุฐุง ุงู„ error systematic ุบูŠุฑ ู…ู‚ุจูˆู„ ู‡ูˆ ุจู†ุญู„ุด
2176
+
2177
+ 545
2178
+ 00:48:35,650 --> 00:48:41,370
2179
+ ุฅุญุตุงุฆูŠุง ุญุงู„ู‡ุง ุจุณูŠุท ุญุงู„ู‡ุง ุจุณูŠุท ูŠุฌูŠุจ ู…ุตุทุฑุงุก ุตุญ ุงู„ู„ูŠ
2180
+
2181
+ 546
2182
+ 00:48:41,370 --> 00:48:43,670
2183
+ ู…ุงููŠุด ููŠู‡ุง shrinkage ูŠูƒูŠุฏ ููŠ ุงู„ู…ุตุทุฑุงุก ุงู„ุตุญ
2184
+
2185
+ 547
2186
+ 00:48:55,080 --> 00:48:57,680
2187
+ ููŠ ุญุงู„ุฉ ุงู„ systematic error ุฒูŠ ู…ุง ุญูƒูŠุช ุงู„ shrink
2188
+
2189
+ 548
2190
+ 00:48:57,680 --> 00:49:02,800
2191
+ ruler ููŠ ุญูƒุงูŠุฉ ุงู„ู„ุญู…ุฉ ูƒุงู†ุช ุงู„ errors constant
2192
+
2193
+ 549
2194
+ 00:49:02,800 --> 00:49:09,260
2195
+ ุซุงุจุชุฉ ูˆ systematic ูŠุนู†ูŠ ู…ุชูƒุฑุฑ ุฏู‡ ู†ูุณ ุงู„ุงุดูŠ ู…ุนู†ุงุชู‡
2196
+
2197
+ 550
2198
+ 00:49:09,260 --> 00:49:13,990
2199
+ systematic in natureุฒูŠ ุงู„ุฎุทุฃ ููŠ ู…ุตุทุฑุช ุงู„ู„ูŠ ู‡ูŠ ุงู„
2200
+
2201
+ 551
2202
+ 00:49:13,990 --> 00:49:18,350
2203
+ shrink ุฒูŠ ุงู„ุฎุทุฃ ููŠ ู…ูŠุฒุงู†ุฉ ุงู„ู„ุญุงู† such errors
2204
+
2205
+ 552
2206
+ 00:49:18,350 --> 00:49:22,370
2207
+ cannot be covered by ..ุงู†ุง ุทุจุนุง ูƒุงุชุจ ุบู„ุท ู‡ูŠ ู…ุด
2208
+
2209
+ 553
2210
+ 00:49:22,370 --> 00:49:25,750
2211
+ uncovered cannot be covered by statistical
2212
+
2213
+ 554
2214
+ 00:49:25,750 --> 00:49:34,210
2215
+ analysis ู„ุฃู† ู†ููŠ ุงู„ู†ููŠ ุงูŠุด ุงุซุจุงุช ูู‡ุฐู‡ cannot be
2216
+
2217
+ 555
2218
+ 00:49:34,210 --> 00:49:41,510
2219
+ covered by statistical analysis ู…ุซุงู„ ุชุงู†ูŠan
2220
+
2221
+ 556
2222
+ 00:49:41,510 --> 00:49:45,170
2223
+ inexpensive frequency counter may use the sixty
2224
+
2225
+ 557
2226
+ 00:49:45,170 --> 00:49:47,950
2227
+ hertz power line frequency as a comparison
2228
+
2229
+ 558
2230
+ 00:49:47,950 --> 00:49:55,530
2231
+ standard ู…ู…ูƒู† ุงู†ุง ุงุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ frequency ุฌู‡ุงุฒ
2232
+
2233
+ 559
2234
+ 00:49:55,530 --> 00:50:00,290
2235
+ ู„ู‚ูŠุงุณ ุงู„ frequency ู…ู…ูƒู† ุงุณุชุฎุฏู… ูƒู…ุนูŠุงุฑ ู…ุนูŠุงุฑูŠ
2236
+
2237
+ 560
2238
+ 00:50:00,290 --> 00:50:05,350
2239
+ ู„ู„ู…ู‚ุงุฑู†ุฉ ุงู„ุชูŠุงุฑ ุงู„ูƒู‡ุฑ ุจุชุงุนู†ุง ุงู„ุชูŠุงุฑ ู‡ู†ุง ููŠ ุบุฒุง ูƒู…ุŸ
2240
+
2241
+ 561
2242
+ 00:50:05,350 --> 00:50:11,570
2243
+ ุณุชูŠู† ู‡ุฑุชุฒู…ุธุจูˆุทุŸ ู…ู…ูƒู† ุงุนุชุจุฑู‡ ุงู† ุงู†ุง ุงุฑูˆุญ ููŠ ุงู„ุฌู‡ุงุฒ
2244
+
2245
+ 562
2246
+ 00:50:11,570 --> 00:50:16,590
2247
+ ุงุญุทู‡ ููŠ ุงู„ููŠุดุฉ ูˆ ุงู‚ูŠุณ ุงู„ frequency ุงุนุชุจุฑู‡ ูƒู…ุฑุฌุน
2248
+
2249
+ 563
2250
+ 00:50:16,590 --> 00:50:21,230
2251
+ ู„ูŠู‡ุŸ ุงุฐุง ู…ุงุนุทุงู†ูŠุด ุณุชูŠู† ููŠ ุงู„ุฌู‡ุงุฒ ููŠ ู…ุดูƒู„ุฉ ู…ุนู†ุงุชู‡
2252
+
2253
+ 564
2254
+ 00:50:21,230 --> 00:50:26,790
2255
+ ูู…ู…ูƒู† ุงุนุชุจุฑ .. ุงุนุชุจุฑ ุงู„ frequency as a standard
2256
+
2257
+ 565
2258
+ 00:50:26,790 --> 00:50:32,170
2259
+ for comparison ู„ูŠุดุŸ
2260
+
2261
+ 566
2262
+ 00:50:32,170 --> 00:50:34,570
2263
+ ู„ุฃู† ุงู„ power line frequency is held very close to
2264
+
2265
+ 567
2266
+ 00:50:34,570 --> 00:50:39,220
2267
+ sixty hertz standardุนู„ู‰ ุงู„ุฑุบู… ุงู†ู‡ ุทุจุนุง ููŠ ุจุงู„ุฐุจุฐุจ
2268
+
2269
+ 568
2270
+ 00:50:39,220 --> 00:50:43,780
2271
+ ุจูŠู† ุจูŠู† ูŠุนู†ูŠ ุจุงู„ุฐุจุฐุจ ุจูŠู† ู‚ูŠู…ุฉ ุนู„ูŠุง ูˆู‚ูŠู…ุฉ ุณูุฑ ู„ูƒู†
2272
+
2273
+ 569
2274
+ 00:50:43,780 --> 00:50:47,400
2275
+ ุชุฐุจุฐุจ ู‡ุฐุง ุจูŠูƒูˆู† ุตุบูŠุฑ ุงูˆ ุนู„ู‰ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ
2276
+
2277
+ 570
2278
+ 00:50:47,400 --> 00:50:55,800
2279
+ ูุจูŠูƒูˆู† ุบูŠุฑ ู…ู„ุญูˆุธ ูˆุงู„ุชุฐุจุฐุจ is random in nature ูˆุนู„ู‰
2280
+
2281
+ 571
2282
+ 00:50:55,800 --> 00:50:59,140
2283
+ ูุชุฑุฉ ุฒู…ู†ูŠุฉ ุทูˆูŠู„ุฉ ู…ู…ูƒู† ูู…ู…ูƒู† ุงุณุชุฎุฏู…ู‡ ูƒูŠุนู†ูŠ ูƒ
2284
+
2285
+ 572
2286
+ 00:50:59,140 --> 00:51:04,840
2287
+ standard ู…ุนูŠุงุฑ ู„ู„ุชุฃูƒุฏ ู…ู† ุฐู‚ุฉ ุฌู‡ุงุฒ ูŠุณุชุฎุฏู… ู„ู‚ูŠุงุณ ุงู„
2288
+
2289
+ 573
2290
+ 00:51:04,840 --> 00:51:05,280
2291
+ frequency
2292
+
2293
+ 574
2294
+ 00:51:11,670 --> 00:51:15,290
2295
+ ุงู„ randomness ุงู„ุนุดูˆุงุฆูŠุฉ ููŠ ุงู„ู‚ุฑุงุกุงุช may also be
2296
+
2297
+ 575
2298
+ 00:51:15,290 --> 00:51:18,290
2299
+ introduced by variations in the measurement itself
2300
+
2301
+ 576
2302
+ 00:51:18,290 --> 00:51:23,990
2303
+ ูŠุนู†ูŠ ู†ูุณ ุงู„ุดุบู„ ุงู„ู„ูŠ ุจู‚ูŠุณู‡ุง ู…ู…ูƒู† ุชุชุณุจุจ ููŠู‡ ุนุดูˆุงุฆูŠุฉ
2304
+
2305
+ 577
2306
+ 00:51:23,990 --> 00:51:31,470
2307
+ ููŠ ุงู„ู‚ุฑุงุกุงุช ุงู„ู…ู‚ุงุณุฉ ูŠุนู†ูŠ ุนุดุงู† ุฃู‚ูŠุณ ุงู„ hardness ู‚ุตุฉ
2308
+
2309
+ 578
2310
+ 00:51:31,470 --> 00:51:41,320
2311
+ ูˆุตูุฉ ู…ุนูŠู† ุจุฌูŠุจ ุฌู‡ุงุฒ ู…ุฏุจู‘ุจ ูˆ ุจุถุบุทู‡ ุนู„ู‰ ุงู„ุตูุญุฉุฅุฐุง
2312
+
2313
+ 579
2314
+ 00:51:41,320 --> 00:51:46,300
2315
+ ูƒุงู†ุช ุงู„ู…ุงุฏุฉ ู‚ุงุณูŠุฉ ุจุชูƒูˆู† ุงู„ู†ุทุจุฉ ููŠู‡ุง ุฅูŠุด ุฎููŠูุฉ ุฅุฐุง
2316
+
2317
+ 580
2318
+ 00:51:46,300 --> 00:51:51,300
2319
+ ุทุฑูŠุฉ ุงู„ู†ุทุจุฉ ุจุชูƒูˆู† ููŠู‡ุง ูƒุจูŠุฑุฉ ู…ุนู†ุงุชู‡ ุงู„ size ู„ู„
2320
+
2321
+ 581
2322
+ 00:51:51,300 --> 00:51:57,500
2323
+ indentation ุจุชู†ุงุณุจ ุชู†ุงุณุจ ุนูƒุณ ู…ุน ุงู„ hardness ูŠุนู†ูŠ
2324
+
2325
+ 582
2326
+ 00:51:57,500 --> 00:52:00,060
2327
+ ูƒู„ ู…ุง ูƒุงู† ุงู„ size ุจุชุงุน ุงู„ indentation ุจูŠุฒูŠุฏ ูƒู„ ู…ุง
2328
+
2329
+ 583
2330
+ 00:52:00,060 --> 00:52:04,040
2331
+ ูƒุงู† ุงู„ hardness ุฃู‚ู„ ุงู„ู‚ุตุงูˆุฉ ูƒู„ ู…ุง ุชุฒูŠุฏ ุงู„ู‚ุตุงูˆุฉ ุงู„
2332
+
2333
+ 584
2334
+ 00:52:04,040 --> 00:52:12,140
2335
+ indentation ุจุชูƒูˆู† ุฅูŠุด ุฃู‚ู„ ูู„ูˆ ุฏูŠ ุจุชุณุทุญ ู…ุงุฏุฉูˆุงุฎุฏ
2336
+
2337
+ 585
2338
+ 00:52:12,140 --> 00:52:16,260
2339
+ ู‚ุฑุงุกุงุช ูŠุนู†ูŠ ุงู„ู‚ุฑุงุกุงุช ู„ู„ hardness ุนู…ู„ุช .. ุนู…ู„ุช ู†ุฏุจ
2340
+
2341
+ 586
2342
+ 00:52:16,260 --> 00:52:21,680
2343
+ .. ู†ุฏุจ ู…ุฎุชู„ูุฉ .. ู†ุฏุจ ู…ุฎุชู„ูุฉ ูˆุงุฎุฏ ู‚ุฑุงุกุงุช ู„ู„
2344
+
2345
+ 587
2346
+ 00:52:21,680 --> 00:52:25,800
2347
+ hardness ู‡ุงุฎุฏ ู‚ูŠู… ู…ุฎุชู„ูุฉ ู…ุด ู‡ุชูƒูˆู† ูƒู„ู‡ุง ู†ูุณ ุงู„ู‚ูŠู…
2348
+
2349
+ 588
2350
+ 00:52:25,800 --> 00:52:31,280
2351
+ ู‡ุงุฎุฏ ู‚ูŠู… ู…ุฎุชู„ูุฉ ู„ู„ hardness ุงู†ุง ุทุจุนุง ุจุงุฎุฏ ู…ุฌู…ูˆุนุฉ
2352
+
2353
+ 589
2354
+ 00:52:31,280 --> 00:52:35,700
2355
+ ู…ุซู„ุง ุจุงุฎุฏ ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ุจุนุฏูŠู† ุจุงุฎุฏ ุงู„ average value
2356
+
2357
+ 590
2358
+ 00:52:35,700 --> 00:52:39,220
2359
+ ุจุงุฎุฏ ู…ุซู„ุง ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ุจุนุฏูŠู† ุจุงุฎุฏ ุงู„ average value
2360
+
2361
+ 591
2362
+ 00:52:39,220 --> 00:52:47,140
2363
+ ู„ู„ู‚ุฑุงุกุงุชุงู„ุงู† ูƒู„ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ู‰ ุฃุฎุฏุชู‡ุง ู…ู†ุญุฑูุฉ ุนู†
2364
+
2365
+ 592
2366
+ 00:52:47,140 --> 00:52:52,300
2367
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู…ุธุจูˆุท ูƒู„ ู‚ูŠู…ุฉ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ู‰ ุฃุฎุฏุชู‡ุง
2368
+
2369
+ 593
2370
+ 00:52:52,300 --> 00:52:57,980
2371
+ ู…ู†ุญุฑูุฉ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ุงู„ุงู†ุญุฑุงู ูŠู‚ุงุณ ู…ู† ุฎู„ุงู„
2372
+
2373
+ 594
2374
+ 00:52:57,980 --> 00:53:02,100
2375
+ ุงู„ุงู†ุญุฑุงู ุงู„ู„ู‰ ุฅูŠู‡ุงุด ุงู„ู…ุนูŠุงุฑูŠ ุงู„ standard deviation
2376
+
2377
+ 595
2378
+ 00:53:02,100 --> 00:53:09,920
2379
+ ุงู„ุงู† ู„ูŠุด ุทุจ ู…ุง ู‡ูŠ ู†ูุณ ุงู„ู…ุนุฏู† ู„ูŠุด ุงุฎุชู„ูุช ุงู„ู‚ุฑุงุกุงุช
2380
+
2381
+ 596
2382
+ 00:53:14,330 --> 00:53:16,810
2383
+ ุงู„ุงู† ู„ูˆ ุงุชุทู„ุน ููŠ ุงู„ .. ุนู„ู‰ ุงู„ microscope .. ุนู„ู‰ ุงู„
2384
+
2385
+ 597
2386
+ 00:53:16,810 --> 00:53:19,530
2387
+ microscope ุงุชุทู„ุนุŒ ุงู„ .. ุงู„ุงู† ุงู„ุตูˆุช ู‡ูŠูƒูˆู† ุนู„ู‰ ุดูƒู„
2388
+
2389
+ 598
2390
+ 00:53:19,530 --> 00:53:23,910
2391
+ ุญุจูŠุจุงุชุŒ grains ู…ุงููŠุด ุงู†ุชุธุงุฑ ุฃุณุงุณูŠ ููŠ ุงู„ grainsุŒ ู„ุง
2392
+
2393
+ 599
2394
+ 00:53:23,910 --> 00:53:26,030
2395
+ ุจุดูƒู„ู‡ุง .. ู…ุงููŠุด ุงู†ุชุธุงุฑ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉุŒ ู„ุง ุดูƒู„ ุงู„
2396
+
2397
+ 600
2398
+ 00:53:26,030 --> 00:53:32,560
2399
+ grains ูˆู„ุง ุญุฌู…ู‡ุง ูˆู„ุง ุงุชุฌุงู‡ุงุชู‡ุงููŠุด ุงู†ุชุธุงู… ููŠ ุงู„
2400
+
2401
+ 601
2402
+ 00:53:32,560 --> 00:53:36,860
2403
+ grains ู„ุง ููŠ ุญุฌู…ู‡ุง ูˆู„ุง ููŠ ุงุชุฌุงู‡ุงุชู‡ุง ูˆู„ุง ููŠ ุดูƒู„ู‡ุง
2404
+
2405
+ 602
2406
+ 00:53:36,860 --> 00:53:41,760
2407
+ 100% ูˆุจุงู„ุชุงู„ูŠ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ harness
2408
+
2409
+ 603
2410
+ 00:53:41,760 --> 00:53:44,740
2411
+ ุจุชุนุชู…ุฏ ุนู„ู‰ ุงู„ grain structure ุงูˆ ุงู„ grain
2412
+
2413
+ 604
2414
+ 00:53:44,740 --> 00:53:47,400
2415
+ structure ุจุชุนุชู…ุฏ ุนู„ู‰ .. ุจุชุนุชู…ุฏ ุนู„ู‰ ุดูƒู„ ุงู„ูุฑู‚ ุนุดุงู†ูƒ
2416
+
2417
+ 605
2418
+ 00:53:47,400 --> 00:53:49,840
2419
+ ุชุฎุชู„ู ู‚ุฑุงุกุงุช ุงู„ harness ูŠุนู†ูŠ ู…ุงููŠุด ุณุทุญ perfect 100
2420
+
2421
+ 606
2422
+ 00:53:49,840 --> 00:53:54,900
2423
+ % ุนุดุงู†ูƒ ุงู„ู‚ุฑุงุกุงุช ุจุชุฎุชู„ู ูŠุนู†ูŠ ุงู„ุบุฑูุฉ ู‡ุงุฏุฉ ู„ูˆ ู‚ุตุช
2424
+
2425
+ 607
2426
+ 00:53:54,900 --> 00:53:58,080
2427
+ ุงู„ุญุฑุงุฑุฉ ููŠู‡ุง ูˆููŠู‡ุง ุชูƒูŠูŠู ู„ูˆ ู‚ุตุช ุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ููŠ
2428
+
2429
+ 608
2430
+ 00:53:58,080 --> 00:54:00,560
2431
+ ุงู„ู†ู‚ุทุฉ ู‡ุงุฏุฉ ููŠ ุงู„ู†ู‚ุทุฉ ู‡ู†ุงูƒ ูˆู†ู‚ุทุฉ ู‡ู†ุงูƒ ู‡ุชูƒูˆู† ู…ุฎุชู„ูุฉ
2432
+
2433
+ 609
2434
+ 00:54:01,040 --> 00:54:04,100
2435
+ ุฅุฐุง ุงุณุชุฎุฏู…ุช ุฃุฌู‡ุฒุฉ ู‚ูŠุงุณ ุฏู‚ูŠู‚ุฉ ู…ุด ู‡ุชูƒูˆู† ุงู„ุญุฑุงุฑุฉ ู…ูŠุฉ
2436
+
2437
+ 610
2438
+ 00:54:04,100 --> 00:54:12,940
2439
+ ููŠ ุงู„ู…ูŠุฉ perfect ู†ูุณ ุงู„ุงุดูŠ ูˆุงู† ู…ุง ูƒุงู† ู‡ุงุฏ
2440
+
2441
+ 611
2442
+ 00:54:12,940 --> 00:54:18,100
2443
+ ุงู„ุฎุทุฃ ุงูˆ ุงู„ุงุฎุชู„ุงู ููŠ ุงู„ู‚ุทุจ ูŠุณู…ูŠู‡ุง random error ุฎุทุฃ
2444
+
2445
+ 612
2446
+ 00:54:18,100 --> 00:54:25,350
2447
+ ุนุดูˆุงุฆูŠู‡ูŠุตูŠุฑ ู…ุงููŠุด ู…ุฌุงู„ ุงู„ุง ูŠุตูŠุฑ ุงู„ุงู† ู…ู…ูƒู† ุงุฎูู ู…ู†ู‡
2448
+
2449
+ 613
2450
+ 00:54:25,350 --> 00:54:30,770
2451
+ ุจุณ ู…ุงููŠุด ู…ุฌุงู„ ุงุฎู„ูŠู‡ zero ุงู„ random error ุฏุงูŠู…ุง
2452
+
2453
+ 614
2454
+ 00:54:30,770 --> 00:54:36,910
2455
+ ู…ูˆุฌูˆุฏ ู…ุงููŠุด ู…ุฌุงู„ ูŠูƒูˆู† zero ุทุจุนุง ู…ูŠุฒุฉ ุงู„ random
2456
+
2457
+ 615
2458
+ 00:54:36,910 --> 00:54:42,270
2459
+ error ู…ู…ูƒู† ูŠุญุณุจ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉ ู…ู…ูƒู† ูŠุญุณุจ
2460
+
2461
+ 616
2462
+ 00:54:42,270 --> 00:54:47,080
2463
+ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉุญู†ุฎุด ุน ู…ูˆุถูˆุน ุฌุฏูŠุฏ ุญุงู„ูŠุง
2464
+
2465
+ 617
2466
+ 00:54:47,080 --> 00:54:51,920
2467
+ ู„ู…ุง ุชุฌูŠ ุชุนู…ู„ ุชุฌุฑุจุฉ ุจุฏูƒ ุชุนู…ู„ reporting ุจุฏูƒ ุชุนู…ู„
2468
+
2469
+ 618
2470
+ 00:54:51,920 --> 00:54:57,620
2471
+ ุงูŠู‡ุŸ ุชูˆุซู‚ ุงู„ุชุฌุฑุจุฉ ุงู„ุงู† ููŠ ุงู„ reporting ุงู†ุง ู‡ุชุฏุฑุฌ
2472
+
2473
+ 619
2474
+ 00:54:57,620 --> 00:55:01,310
2475
+ ู…ุนุงูƒู… ุดูˆูŠุฉ ุดูˆูŠุฉ ููŠ ุงู„ุชุฌุงุฑุจู‡ู†ุจุฏุฃ ู†ุนู…ู„ reporting
2476
+
2477
+ 620
2478
+ 00:55:01,310 --> 00:55:05,750
2479
+ ุจุดูƒู„ ุจุณูŠุท ูˆ ุดูˆูŠุฉ ุดูˆูŠุฉ ู†ูุตู„ ุฃูƒุชุฑ ูŠุนู†ูŠ ุฃูˆู„ ุชุฌุฑุจุฉ ู…ุด
2480
+
2481
+ 621
2482
+ 00:55:05,750 --> 00:55:08,310
2483
+ ู‡ุชูƒูˆู† ููŠู‡ุง reporting ู…ุนู‚ุฏ ุงู„ reports may be
2484
+
2485
+ 622
2486
+ 00:55:08,310 --> 00:55:10,930
2487
+ categorized as ูŠุนู†ูŠ ุงู„ reports ู…ู…ูƒู† ุฃุตู†ูู‡ ุนู„ู‰ ู†ุญูˆ
2488
+
2489
+ 623
2490
+ 00:55:10,930 --> 00:55:15,870
2491
+ ุงู„ุชุงู„ู‚ ููŠ ุนู†ุฏูƒูˆุง executive summary ู…ู„ุฎุต ุชู†ููŠุฐูŠ
2492
+
2493
+ 624
2494
+ 00:55:15,870 --> 00:55:20,590
2495
+ ุนู†ุฏู†ุง laboratory note or technical memo ุนู†ุฏู†ุง
2496
+
2497
+ 625
2498
+ 00:55:20,590 --> 00:55:24,970
2499
+ progress report ุนู†ุฏู†ุง full technical report ูˆ
2500
+
2501
+ 626
2502
+ 00:55:24,970 --> 00:55:28,770
2503
+ ุนู†ุฏู†ุง technical paperุงู„ู„ูŠ ุฃู†ุง ู…ุตู…ู… ููŠู‡ ุงู† ุญุณุจ
2504
+
2505
+ 627
2506
+ 00:55:28,770 --> 00:55:32,590
2507
+ ุงู„ุจุณุงุทุฉ ูˆุงู„ุตูˆูŠุฉ ูŠุนู†ูŠ ุงู„ executive summary ุฃุจุณุท ุฅุดูŠ
2508
+
2509
+ 628
2510
+ 00:55:32,590 --> 00:55:39,350
2511
+ ุงู„ู…ู†ุฎุต ุงู„ุชู†ููŠุฐูŠ ูŠุนู†ูŠ ุฃู†ุง ุนู…ู„ุช ุชุฌุฑุจุฉ ุจุนู† ู…ุง ูŠุณู…ู‰
2512
+
2513
+ 629
2514
+ 00:55:39,350 --> 00:55:43,230
2515
+ executive summary is directed at a busy observer
2516
+
2517
+ 630
2518
+ 00:55:43,230 --> 00:55:49,310
2519
+ ู‡ุฐู‡ ู‡ุชูƒูˆู† ู…ูˆุงุฌู‡ุฉ ู†ุญูˆ ุดุฎุต ู…ุดุบูˆู„ ุงู„ู„ูŠ ุนุงูŠุฒ ูŠุนุฑู
2520
+
2521
+ 631
2522
+ 00:55:49,310 --> 00:55:53,750
2523
+ ุงู„ุดุบู„ุงุช ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„ุดุบู„ ุงู„ู„ูŠ ุงู†ุง ุนู…ู„ู‡ุงุจุชูƒูˆู†
2524
+
2525
+ 632
2526
+ 00:55:53,750 --> 00:55:57,190
2527
+ outlined in a few paragraphs ูŠุนู†ูŠ ูู‚ุฑุชูŠู† ุชู„ุช ูู‚ุฑุงุช
2528
+
2529
+ 633
2530
+ 00:55:57,190 --> 00:56:03,630
2531
+ ู…ู„ุฎุต ูƒู„ ุงู„ุดุบู„ ุงู„ู„ูŠ ุจุฏู‡ ูŠุนุฑูู‡ what was done and
2532
+
2533
+ 634
2534
+ 00:56:03,630 --> 00:56:07,090
2535
+ what was concluded ุจุฏูˆุด ูƒู„ ุงู„ุฏุด ุงู„ุจุฑู† what was
2536
+
2537
+ 635
2538
+ 00:56:07,090 --> 00:56:11,510
2539
+ done ุฅูŠุด ุงู„ู„ูŠ ุนู…ู„ ูˆ ุฅูŠุด ุงู„ conclusion ุชุจุนุชูƒ what
2540
+
2541
+ 636
2542
+ 00:56:11,510 --> 00:56:14,450
2543
+ was done and what was concluded ู‡ุฐู‡ ู…ู…ูƒู† ุชูƒูˆู† ุงู„
2544
+
2545
+ 637
2546
+ 00:56:14,450 --> 00:56:19,950
2547
+ report one pageู‡ุฐู‡ ุงุณู…ู‡ุง executive summary ุงู„ู…ุทู„ูˆุจ
2548
+
2549
+ 638
2550
+ 00:56:19,950 --> 00:56:24,690
2551
+ ู…ู†ูƒูˆุง ุฃู†ุชูˆุง ูƒ assignment ุฌูŠุจูˆุง executive summary
2552
+
2553
+ 639
2554
+ 00:56:24,690 --> 00:56:29,610
2555
+ ุฃู…ุซู„ุฉ ุนู„ู‰ executive summaries ูˆุดูˆููˆุง ุงู„ู…ูƒูˆู†ุงุช ู„ุฃู†
2556
+
2557
+ 640
2558
+ 00:56:29,610 --> 00:56:32,030
2559
+ ุฃูˆู„ ุดุบู„ ุงู†ุง ุญุงุทุจ ู…ู†ูƒูˆุง ุฃุนู…ู„ ุฃูˆู„ ุชุฌุฑุจุฉ ุฃุนู…ู„ูˆู†ูŠ ุจุณ
2560
+
2561
+ 641
2562
+ 00:56:32,030 --> 00:56:34,950
2563
+ ููŠู‡ุง executive summary ุนุดุงู† ุชุญุณู† ุดูˆูŠ ุดูˆูŠ ุจุณูŠุท ูŠุนู†ูŠ
2564
+
2565
+ 642
2566
+ 00:56:34,950 --> 00:56:41,130
2567
+ ุตูุญุฉ ูŠูƒูˆู† ุงู„ report ุฃูˆ ุฃู‚ู„ ู…ู† ุตูุญุฉ ุงู„ู…ุณุชูˆู‰
2568
+
2569
+ 643
2570
+ 00:56:41,130 --> 00:56:46,270
2571
+ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ู‡ูŠ laboratory note laboratory noteis
2572
+
2573
+ 644
2574
+ 00:56:46,270 --> 00:56:50,670
2575
+ written to be read by someone thoroughly familiar
2576
+
2577
+ 645
2578
+ 00:56:50,670 --> 00:56:56,950
2579
+ with the project ู‡ูŠ ุฏูŠ ุชูƒุชุจ ู„ุดุฎุต ูŠุนู†ูŠ ุจุนุฑู ุงู„
2580
+
2581
+ 646
2582
+ 00:56:56,950 --> 00:57:03,030
2583
+ project ูƒูˆูŠุณ ู…ุฑุชุจุท ูƒุชูŠุฑ ููŠ ุงู„ project ุฒูŠ ุงู„ู…ุณุฆูˆู„
2584
+
2585
+ 647
2586
+ 00:57:03,030 --> 00:57:06,450
2587
+ ุงู„ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ู…ุดุฑูˆุน ุฃูˆ ู†ูุณ ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุฌุฑูŠ
2588
+
2589
+ 648
2590
+ 00:57:06,450 --> 00:57:09,790
2591
+ ุงู„ุชุฌุงุฑุฉ ูŠุนู†ูŠ ุงู„ู…ุณุฆูˆู„ ุงู„ู…ุจุงุดุฑ ุนู„ู‰ ุงู„ู…ุดุฑูˆุน ุฃูˆ ุงู„ุดุฎุต
2592
+
2593
+ 649
2594
+ 00:57:09,790 --> 00:57:12,510
2595
+ ุงู„ู…ุดุฑู ุนู„ู‰ ุงู„ุชุฌุงุฑุฉ ุจู„ุฒู… ูŠุนู…ู„ ู…ุง ูŠุณู…ู‰ laboratory
2596
+
2597
+ 650
2598
+ 00:57:12,510 --> 00:57:18,000
2599
+ notea single page may be sufficient ู…ู…ูƒู† ุชูƒููŠ ุตูุญุฉ
2600
+
2601
+ 651
2602
+ 00:57:18,000 --> 00:57:23,360
2603
+ ู„ู„ .. ู„ู„ .. ู„ู„ laboratory note ู…ุญุชุงุฌ sentence or
2604
+
2605
+ 652
2606
+ 00:57:23,360 --> 00:57:26,600
2607
+ two stating the problem ู…ุญุชุงุฌ ุฌู…ู„ุฉ ุงูˆ ุฌู…ู„ุชูŠู† ุชุญูƒูŠ
2608
+
2609
+ 653
2610
+ 00:57:26,600 --> 00:57:30,320
2611
+ ุฅูŠุด ุงู„ู…ุดูƒู„ุฉ ู…ุซู„ุง ุชุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‡ุฏู ู…ู† ุงู„ุชุฌุงุฑุจ ู‡ุฐู‡
2612
+
2613
+ 654
2614
+ 00:57:30,320 --> 00:57:36,680
2615
+ ู‚ูŠุงุณ ุงู„ hardness ู„ู…ุนุฏู† ุงู„ุญุฏูŠุฏ ู…ุซู„ุง ู‡ุฐู‡ ุฌู…ู„ุฉ ุฎู„ุตุชู‡ุง
2616
+
2617
+ 655
2618
+ 00:57:37,740 --> 00:57:40,780
2619
+ a block diagram of the experimental setup ุชุนู…ู„
2620
+
2621
+ 656
2622
+ 00:57:40,780 --> 00:57:45,080
2623
+ block diagram ู„ูƒูŠู ุดูƒู„ ุงู„ุชุฌุฑุจุฉ ุงู†ู‡ ุงู†ุง ู‡ุญุถุฑ ุนูŠู†ุฉ
2624
+
2625
+ 657
2626
+ 00:57:45,080 --> 00:57:51,020
2627
+ ู…ุซู„ุง ู‡ุฑูˆุญ ุงุฌูŠุจ indenter ู‡ุงุฎุฏ ู‚ุฑุงู‡ ู‡ุดุจ ุงู„ computer
2628
+
2629
+ 658
2630
+ 00:57:51,020 --> 00:57:57,020
2631
+ ู‡ุฐุง ุงู„ setup diagram some data ุงู„ุจูŠุงู†ุงุช ู…ู…ูƒู† ุชูƒูˆู†
2632
+
2633
+ 659
2634
+ 00:57:57,020 --> 00:58:01,960
2635
+ ุงู„ุจูŠุงู†ุงุช ุนุดูƒู„ ุฌุฏุงูˆู„ ุงูˆ ุนุดูƒู„ graphs graphical ุงูˆ
2636
+
2637
+ 660
2638
+ 00:58:01,960 --> 00:58:09,250
2639
+ tabular for ู„ุณู‡ ู…ุฎู„ุต .. ู…ุฎู„ุตู†ุงุดany pertinent
2640
+
2641
+ 661
2642
+ 00:58:09,250 --> 00:58:13,930
2643
+ observations not directly evident from the date
2644
+
2645
+ 662
2646
+ 00:58:13,930 --> 00:58:17,650
2647
+ should also be include ุฃูŠ ุจูŠุงู†ุงุช ุงูˆ ู…ู„ุงุญุธุงุช ู…ู‡ู…ุฉ
2648
+
2649
+ 663
2650
+ 00:58:17,650 --> 00:58:22,610
2651
+ ูˆู…ุด ู…ุจูŠู†ุฉ ู„ุงุฒู… ุงุฐูƒุฑู‡ุง ู…ุซู„ุง ุจุฏูŠ ุงุฐูƒุฑ ุธุฑูˆู ุงู„ุชุฌุฑุจุฉ
2652
+
2653
+ 664
2654
+ 00:58:22,610 --> 00:58:28,530
2655
+ ู…ุซู„ุง ุงู† ุงู„ูŠูˆู… ู‡ุฐูƒ ูŠุนู†ูŠ ุงู„ุชุฌุฑุจุฉ ุชู…ุช ุนู†ุฏ ุฏุฑุฌุฉ ุญุงู„ุฉ
2656
+
2657
+ 665
2658
+ 00:58:28,530 --> 00:58:33,110
2659
+ ุงู„ุฌูˆ ู…ุซู„ุง ูƒุงู†ุช ุนุดุฑูŠู† ุฏุฑุฌุฉ ู…ูˆูŠุฉ ุงุฑุชูˆู‡ ู…ุซู„ุง ุณุชูŠู† ููŠ
2660
+
2661
+ 666
2662
+ 00:58:33,110 --> 00:58:33,970
2663
+ ุงู„ู…ูŠุฉ ู…ุซู„ุง
2664
+
2665
+ 667
2666
+ 00:58:37,860 --> 00:58:41,400
2667
+ Sufficient information should be included ู„ุงุฒู…
2668
+
2669
+ 668
2670
+ 00:58:41,400 --> 00:58:46,180
2671
+ ูŠูƒูˆู† ู„ู„ู…ุนู„ูˆู…ุงุช ูƒุงููŠุฉ ู…ุชุถู…ู†ุฉ so that ุงู„
2672
+
2673
+ 669
2674
+ 00:58:46,180 --> 00:58:49,460
2675
+ experimental ู…ู…ูƒู† ูŠุนูŠุฏ ุงู„ุญุณุงุจุงุช ู…ุซู„ุง ูˆ ุนู…ู„ ุญุณุงุจุงุช
2676
+
2677
+ 670
2678
+ 00:58:49,460 --> 00:58:53,760
2679
+ ุงู„ูŠูˆู… ูˆ ุญุงุจุจ ูŠุชุฃูƒุฏ ู…ู†ู‡ุง ุจุนุฏ ุณู†ุฉ ุณู†ุชูŠู† ุจุนุฏ ุฎู…ุณ ุณู†ูŠู†
2680
+
2681
+ 671
2682
+ 00:58:53,760 --> 00:58:58,800
2683
+ ุงุฐุง ู…ุงูƒุงู†ุด ู…ูˆุซู‚ ุจุดูƒู„ ูƒูˆูŠุณ ุญูŠูƒูˆู† ู†ุงุณูŠ ูƒูŠู ู‡ูˆ ุนู…ู„
2684
+
2685
+ 672
2686
+ 00:59:00,540 --> 00:59:05,100
2687
+ ูู„ุงุฒู… ูƒู„ู‡ุง ุชูƒูˆู† ุจูŠุงู†ุงุช ูƒุงููŠุฉ ุจุญูŠุซ ู„ูˆ ุญุงุจ ุนูŠุฏ
2688
+
2689
+ 673
2690
+ 00:59:05,100 --> 00:59:10,280
2691
+ ุญุณุงุจุงุช ุจุนุฏ ูุชุฑุฉ ุฒู…ุงู†ูŠุฉ ุทูˆูŠู„ุฉ ูŠูƒูˆู† ู‚ุงุฏุฑ ูŠุนู…ู„ู‡ุง a
2692
+
2693
+ 674
2694
+ 00:59:10,280 --> 00:59:13,200
2695
+ date and signature should always be included ููŠ
2696
+
2697
+ 675
2698
+ 00:59:13,200 --> 00:59:17,980
2699
+ ุจุนุถ ุงู„ุฃุญูŠุงู† ู„ุงุฒู… ุฃุญุท ุชุงุฑูŠุฎ ูˆ ุชูˆู‚ูŠุน ุนู„ู‰ ุงู„
2700
+
2701
+ 676
2702
+ 00:59:17,980 --> 00:59:22,560
2703
+ laboratory note ู„ุฃู† ู…ู…ูƒู† ุงู„ุดุบู„ ู‡ุฐุง ูŠู†ุชุฌ ุนู†ู‡ ู…ุซู„ุง
2704
+
2705
+ 677
2706
+ 00:59:22,560 --> 00:59:27,860
2707
+ ุจุฑุงู‚ุฉ ุงุฎุชุฑุงุนู…ุซู„ุง ูู…ุญุชุงุฌ ุชูˆู‚ุน ูˆ ุฅุฐุง ูƒุงู† ููŠ ุงุญุชู…ุงู„
2708
+
2709
+ 678
2710
+ 00:59:27,860 --> 00:59:31,020
2711
+ ูƒุจูŠุฑ ู„ุจุฑุงุก ุงุฎุชุฑุงุน ุจุฏูƒ ุชุญุท ุดุฎุต ุชุงู†ูŠ technical ุฒูŠูƒ
2712
+
2713
+ 679
2714
+ 00:59:31,020 --> 00:59:35,860
2715
+ ูŠูˆู‚ุน ูƒุดุงู‡ุฏ .. ูŠูˆู‚ุน ูƒุดุงู‡ุฏ ุงู† ุงู†ุช ุฌุฑุจ ู‡ุฐุง ุงู†ุช ุนู…ู„ุชู‡
2716
+
2717
+ 680
2718
+ 00:59:35,860 --> 00:59:39,620
2719
+ ูˆ ุทู„ุนุช ุงู„ู†ุชุงุฌ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ู…ุญุชุงุฌ at least your
2720
+
2721
+ 681
2722
+ 00:59:39,620 --> 00:59:43,000
2723
+ signature ุฅุฐุง ุงู„ุดุบู„ ููŠ ุงุญุชู…ุงู„ูŠุฉ ูŠุทู„ุน ู…ู† ู…ุจุงุฑุงุฉ
2724
+
2725
+ 682
2726
+ 00:59:43,000 --> 00:59:46,640
2727
+ ู…ุนูŠู†ุฉ ูˆ ุจุฏูƒ ุชุณุฌู„ู‡ุง ุจุชุฌูŠุจ ุญุฏุง witness .. to witness
2728
+
2729
+ 683
2730
+ 00:59:46,640 --> 00:59:48,800
2731
+ ุงู† ู‡ุฐุง ุงู„ุดุบู„ ุงู†ุช ุงุดุชุบู„ุชู‡ ุทุจุนุง ุจุชุฌูŠุจ .. ุจุชุญุจุด ..
2732
+
2733
+ 684
2734
+ 00:59:48,800 --> 00:59:52,020
2735
+ ู…ุชุฌูŠุจุด ูˆุงุญุฏ ู…ู† ุงู„ุดุงุฑุน ุจุชุฌูŠุจ ูˆุงุญุฏ ููŠ ุงู„ู…ุฌุงู„ ููŠ
2736
+
2737
+ 685
2738
+ 00:59:52,020 --> 00:59:52,940
2739
+ ุงู„ุงุฎุชุตุงุต
2740
+
2741
+ 686
2742
+ 00:59:56,300 --> 00:59:58,660
2743
+ ุงู„ู„ูŠ ุงุญู†ุง ุญูƒูŠู†ุง so far ุญูƒูŠู†ุง ุนู† ุงู„ executive
2744
+
2745
+ 687
2746
+ 00:59:58,660 --> 01:00:03,080
2747
+ summary ุงู„ laboratory report ุญุงู„ูŠุง ู‡ู†ุญูƒูŠ ุนู† ุงู„
2748
+
2749
+ 688
2750
+ 01:00:03,080 --> 01:00:06,940
2751
+ full report ุงู„ู„ูŠ ู‡ู†ุญูƒูŠ ุนู† ุงู„ full report ูƒุงู…ู„ ูŠุนู†ูŠ
2752
+
2753
+ 689
2754
+ 01:00:06,940 --> 01:00:10,440
2755
+ ุงุญู†ุง ู‡ู†ุจุฏุฃ ุงู„ู„ูŠ ู‡ูˆ executive summary ุงูˆู„ ุชุฌุฑุจุฉ
2756
+
2757
+ 690
2758
+ 01:00:10,440 --> 01:00:14,100
2759
+ ุงู„ุชุฌุฑุจุฉ ุงู„ุชุงู„ุชุฉ ู‡ุชูƒูˆู† ุงู„ู„ูŠ ู‡ูˆ laboratory report
2760
+
2761
+ 691
2762
+ 01:00:14,100 --> 01:00:18,720
2763
+ ุงู„ุชุฌุฑุจุฉ ุงู„ุชุงู„ุชุฉ ู‡ู†ุนู…ู„ full report full report ุงู„ู„ูŠ
2764
+
2765
+ 692
2766
+ 01:00:18,720 --> 01:00:24,830
2767
+ ู‡ูˆ ุจูŠุญูƒูŠู†ุง ูƒู„ ุงู„ุญุฏูˆุซุฉ ูƒุงู…ู„ ุงูŠู‡ ุงุด ุณูˆูŠุชุจุฏูƒ ุชุญุท
2768
+
2769
+ 693
2770
+ 01:00:24,830 --> 01:00:30,270
2771
+ ุชูุงุตูŠู„ ูƒู„ ุดูŠุกุŒ ุจุฏูƒ ุชุญุท ู…ุซู„ุง ู…ู„ุฎุตุŒ ุจุฏูƒ ุชุญุท ู…ู‚ุฏู…ุฉุŒ
2772
+
2773
+ 694
2774
+ 01:00:30,270 --> 01:00:33,250
2775
+ ุจุฏูƒ ุชุนู…ู„ literature reviewุŒ ุจุฏูƒ ุชุญูƒูŠ ุนู„ูŠูƒ ุณุจุจ ุงู†
2776
+
2777
+ 695
2778
+ 01:00:33,250 --> 01:00:36,330
2779
+ ุงู†ุช ู„ุณุชุŒ ุจุฏูƒ ุชุญุท ูƒู„ ุดูŠุกุŒ ุจุงุฎุชุตุงุฑ ูุงู„ report tells
2780
+
2781
+ 696
2782
+ 01:00:36,330 --> 01:00:45,610
2783
+ the whole story ู„ุดุฎุต ู…ุนู†ู‰ ููŠ ุงู„ู…ูˆุถูˆุนุจุณ ู…ุด ูู†ูŠ ูŠุนู†ูŠ
2784
+
2785
+ 697
2786
+ 01:00:45,610 --> 01:00:49,390
2787
+ ู…ุด ู…ุทู„ูˆุจ ูŠุนุฑููŠ ุงู„ุชูุงุตูŠู„ ุงู„ูู†ูŠุฉ ุฒูŠูƒ ุจุณ ู„ูˆ ู‚ุฑุฃู‡ุง
2788
+
2789
+ 698
2790
+ 01:00:49,390 --> 01:00:52,670
2791
+ ุนุงูŠุฒ ูŠูู‡ู…ู‡ุง ูŠุนู†ูŠ ู…ุซู„ุง top management ููŠ ุงู„ุดุฑูƒุฉ ุงูˆ
2792
+
2793
+ 699
2794
+ 01:00:52,670 --> 01:00:56,130
2795
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ู„ุฌู†ุฉ ู‡ุชุฑุงุฌุน ุดุบู„ูƒ
2796
+
2797
+ 700
2798
+ 01:00:56,130 --> 01:01:00,250
2799
+ ุนุดุงู† ุชุฑุงุฌุน ุดุบู„ูƒ ุงูˆ ุงู„ top manager ุนุดุงู† ุชุทู„ุน ุดุบู„ูƒ
2800
+
2801
+ 701
2802
+ 01:01:00,250 --> 01:01:04,250
2803
+ ู…ูŠู†ูุนุด ุชุนู…ู„ technical note ู…ู„ุฎุต ู…ุฑูƒุฒ ุจู†ุต ุตูุญุฉ ู…ุด
2804
+
2805
+ 702
2806
+ 01:01:04,250 --> 01:01:07,450
2807
+ ู‡ูŠูู‡ู…ุด ุนู„ูŠูƒ ู…ูŠู†ูุนุด ุชุนู…ู„ ุงู„ full report ุชุญุท ูƒู„ ุดูŠ
2808
+
2809
+ 703
2810
+ 01:01:07,450 --> 01:01:09,970
2811
+ ูƒู„ ุงู„ุชูุงุตูŠู„ ุนุดุงู† ุงู„ู…ู‚ุฑุฃ ุงู„ุชูุงุตูŠู„ ูŠูู‡ู…
2812
+
2813
+ 704
2814
+ 01:01:12,860 --> 01:01:16,060
2815
+ full report must relate all the facts pertinent to
2816
+
2817
+ 705
2818
+ 01:01:16,060 --> 01:01:18,340
2819
+ the project ูŠุนู†ูŠ ู„ุงุฒู… ุฃุญุท ูƒู„ ุงู„ุญู‚ุงุฆู‚ ูˆุงู„ู…ุนู„ูˆู…ุงุช
2820
+
2821
+ 706
2822
+ 01:01:18,340 --> 01:01:21,840
2823
+ ุงู„ู…ุฑุชุจุทุฉ ููŠ ุงู„ู…ุดุฑูˆุน make the purpose of the
2824
+
2825
+ 707
2826
+ 01:01:21,840 --> 01:01:25,580
2827
+ project completely clear ู‡ุฏู ุงู„ู…ุดุฑูˆุน ูŠู†ูƒุชุจ ุจุดูƒู„
2828
+
2829
+ 708
2830
+ 01:01:25,580 --> 01:01:30,800
2831
+ ูˆุงุถุญ full report should also include enough detail
2832
+
2833
+ 709
2834
+ 01:01:30,800 --> 01:01:33,820
2835
+ to allow another professional to repeat the
2836
+
2837
+ 710
2838
+ 01:01:33,820 --> 01:01:36,280
2839
+ measurements calculations ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† ููŠ ุจูŠุงู†ุงุช
2840
+
2841
+ 711
2842
+ 01:01:36,280 --> 01:01:39,580
2843
+ ูƒุงู…ู„ุฉ ู„ูˆ ุญุฏ ุญุงุจ ุจุนูŠุฏ ูˆุฑุงูƒ ุงู„ calculations ูŠุนุฑู
2844
+
2845
+ 712
2846
+ 01:01:39,580 --> 01:01:40,500
2847
+ ูŠุณูˆูŠ ุงู„ calculations
2848
+
2849
+ 713
2850
+ 01:01:45,770 --> 01:01:50,710
2851
+ make main body short and to the point ุงู„ู„ูŠ ุทุจุนุง ู„ุง
2852
+
2853
+ 714
2854
+ 01:01:50,710 --> 01:01:53,710
2855
+ ูŠุนู†ูŠ ุงู„ full report ุฅู† ูƒู†ุช ุฏูŠุด ูƒุชูŠุฑ ุฏุงุฆู…ุง ููŠ
2856
+
2857
+ 715
2858
+ 01:01:53,710 --> 01:01:59,030
2859
+ ุงู„ูƒุชุงุจุฉ ุงูƒุชุจ ุฃู‚ู„ ู…ุง ูŠู…ูƒู† ุงู„ู„ูŠ ููŠ ุฑุฃุณูƒ ููƒุฑุฉ ุฃู†ูƒ
2860
+
2861
+ 716
2862
+ 01:01:59,030 --> 01:02:04,170
2863
+ ุงูƒุชุจ ุฃูƒุจุฑ ู…ุง ูŠู…ูƒู† ู…ุด ุจุงู„ูƒู„ ูˆ ุงู„ุงุดูŠ ุงูƒุชุจ ุฃู‚ู„ ู…ุง
2864
+
2865
+ 717
2866
+ 01:02:04,170 --> 01:02:07,890
2867
+ ูŠู…ูƒู† ู„ุงูŠุนู†ูŠ ุงู† ุงู„ full report ุงูƒุชุจ ุฃู„ู ุตูุญุฉ ู…ู…ูƒู†
2868
+
2869
+ 718
2870
+ 01:02:07,890 --> 01:02:11,110
2871
+ full report ุจุฎู…ุณ ุตูุญุงุช ู…ู…ูƒู† ุนุดุฑ ุตูุญุงุช ุญุณุจ ุงู„
2872
+
2873
+ 719
2874
+ 01:02:11,110 --> 01:02:15,860
2875
+ projectุฅุฐุง ููŠ ุนู†ุฏูƒ ุจูŠุงู†ุงุช ูƒุชูŠุฑุŒ ู…ุง ุชุญุทู‡ุงุด ููŠ ุงู„
2876
+
2877
+ 720
2878
+ 01:02:15,860 --> 01:02:19,640
2879
+ main body ุจุชุงุน ุงู„ reportุŒ ุญุทู‡ุง ููŠ ุงู„ู…ู„ุงุญู‚ุŒ ุนู†ุฏูƒ
2880
+
2881
+ 721
2882
+ 01:02:19,640 --> 01:02:21,980
2883
+ appendixesุŒ ุนู†ุฏูƒ ุฌุฏุงูˆู„ ูƒุชูŠุฑุŒ ุญุทู‡ุง ููŠ ุงู„ appendixุŒ
2884
+
2885
+ 722
2886
+ 01:02:21,980 --> 01:02:23,960
2887
+ ุนู†ุฏูƒ ุตูˆุฑ ูƒุชูŠุฑุŒ ุญุทู‡ุง ููŠ ุงู„ appendixุŒ ู…ุง ุชุญุทู‡ุงุด ููŠ
2888
+
2889
+ 723
2890
+ 01:02:23,960 --> 01:02:28,580
2891
+ ุงู„ main bodyุŒ ุงู„ู„ูŠ ุฃู†ุช ููŠ ุงู„ main body unifierุŒ
2892
+
2893
+ 724
2894
+ 01:02:28,580 --> 01:02:31,180
2895
+ ุฃู†ุช ุจุชุฑุฌุน ู„ูˆูŠู†ุŸ ู„ู„ู…ู„ุงุญู‚
2896
+
2897
+ 725
2898
+ 01:02:36,880 --> 01:02:39,920
2899
+ ุงู„ุงู† ุฎู„ุงุตุฉ ุงุญู†ุง ุญุงูƒูŠ ุนู† ุงูŠู‡ ู‡ูˆ executive summary
2900
+
2901
+ 726
2902
+ 01:02:39,920 --> 01:02:43,180
2903
+ ู‡ูŠุนู†ู‰ ุงู„ apparatus remote ู‡ูŠุนู†ู‰ for report ู‡ูŠุนู†ู‰
2904
+
2905
+ 727
2906
+ 01:02:43,180 --> 01:02:48,700
2907
+ progress report ุงู„ุขู† ู‡ุฎู„ูŠูƒู… ุชุนู…ู„ูˆุง ู…ุซู„ุง ุชู„ุช ุชุฌุงุฑุจ
2908
+
2909
+ 728
2910
+ 01:02:48,700 --> 01:02:52,220
2911
+ for report ุจุนุฏู‡ุง ู‡ุญุงูƒูŠ ุงู‚ุนุฏูˆุง ู…ู†ูƒู… ุงุนู…ู„ูˆุง ู„ูŠู‡
2912
+
2913
+ 729
2914
+ 01:02:52,220 --> 01:02:56,160
2915
+ progress report ููŠ ุงู„ course progress report ุชุญูƒูŠ
2916
+
2917
+ 730
2918
+ 01:02:56,160 --> 01:03:01,260
2919
+ ูˆุงู„ู„ู‡ ุงุญู†ุง ุงู„ูุตู„ ู‡ุฐุง ุนู…ู„ู†ุง ุงูˆู„ ุชุฌุฑุจุฉ ุนู† ูƒุฐุง ูƒุฐุง
2920
+
2921
+ 731
2922
+ 01:03:01,260 --> 01:03:05,320
2923
+ ูŠุนู†ูŠ ุจุชุญูƒูŠ ู„ู…ู„ุฎุต ู„ู„ุฃุนู…ุงู„ ุงู„ู„ูŠ ุตุงุฑุช ููŠ ุงู„ูุตู„ูุงู„
2924
+
2925
+ 732
2926
+ 01:03:05,320 --> 01:03:09,640
2927
+ progress report ุนุจุงุฑุฉ ุนู† ุชุฌู…ูŠุน ู„ู…ุฌู…ูˆุน ุงู„ุชู‚ุงุฑูŠุฑ
2928
+
2929
+ 733
2930
+ 01:03:09,640 --> 01:03:13,980
2931
+ ุงู„ุณุงุจู‚ุฉ ูŠุนู†ูŠ ู‡ูˆ ุจูŠุญูƒูŠ ุนู† ุงู„ุชู‚ุฏู… ุงู„ุชุทูˆุฑ ููŠ ุงู„ุนู…ู„ ู…ู†
2932
+
2933
+ 734
2934
+ 01:03:13,980 --> 01:03:21,100
2935
+ ุงุณู…ู‡ progress report ููŠ
2936
+
2937
+ 735
2938
+ 01:03:21,100 --> 01:03:23,820
2939
+ technical paper technical paper ูŠุนู†ูŠ ู…ู…ูƒู† ุชูƒุชุจ
2940
+
2941
+ 736
2942
+ 01:03:23,820 --> 01:03:29,760
2943
+ paper ุจุญุซ ู…ู†ุดูˆุฑ ุงู„ technical paper is a brief
2944
+
2945
+ 737
2946
+ 01:03:29,760 --> 01:03:33,480
2947
+ summary of a project ุนุจุงุฑุฉ ุนู† ู…ู„ุฎุต ู…ุฑูƒุฒ ู„ู„ู…ุดุฑูˆุน
2948
+
2949
+ 738
2950
+ 01:03:35,150 --> 01:03:38,690
2951
+ extent of which must be tailored to fit either a
2952
+
2953
+ 739
2954
+ 01:03:38,690 --> 01:03:42,690
2955
+ time allotment at a meeting or a space in a
2956
+
2957
+ 740
2958
+ 01:03:42,690 --> 01:03:46,730
2959
+ publication ุงู„ุขู† ุนุดุงู† ุชู†ุดุฑ ุฌู‡ุฉ ุงู„ู†ุดุฑ ุงู„ู…ุฌู„ุฉ ุงู„ู„ูŠ
2960
+
2961
+ 741
2962
+ 01:03:46,730 --> 01:03:49,630
2963
+ ู‡ุชู†ุดุฑ ููŠู‡ุง ุฃูˆ ุงู„ู…ู‚ุทุน ุงู„ู„ูŠ ู‡ุชู†ุดุฑ ููŠู‡ ุฅูŠู‡ ุงู„ุดุฑูˆุท
2964
+
2965
+ 742
2966
+ 01:03:49,630 --> 01:03:54,250
2967
+ ู…ุซู„ุง ู…ู† ู†ุงุญูŠุฉ ุงู„ุชูˆู‚ูŠุช ูˆุฅูŠู‡ ุงู„ุดุฑูˆุท ู…ู† ู†ุงุญูŠุฉ ุญุฌู…
2968
+
2969
+ 743
2970
+ 01:03:54,250 --> 01:04:00,500
2971
+ ุงู„ุฎุท ููŠ ุฃูƒู… ุตูุญุฉ ุฃูƒู… ูƒู„ู…ุฉ ู‡ุฐุง ุชู„ุชุฒู… ููŠู‡ุงa primary
2972
+
2973
+ 744
2974
+ 01:04:00,500 --> 01:04:03,760
2975
+ purpose of a technical paper is to make known the
2976
+
2977
+ 745
2978
+ 01:04:03,760 --> 01:04:07,300
2979
+ work of the writer ู‡ุฏู ุฑุฆูŠุณูŠ ู…ู† ุงู„ technical paper
2980
+
2981
+ 746
2982
+ 01:04:07,300 --> 01:04:12,940
2983
+ ุฃู†ู‡ ุชู…ุดุฑ ุนุดุงู† ุงู„ู†ุงุณ ูŠุนุฑููˆุง ุดุบู„ู‡ุง ูƒูŠุด ุงุดุชุบู„ุช for
2984
+
2985
+ 747
2986
+ 01:04:12,940 --> 01:04:17,960
2987
+ this reason ุนุดุงู† ู‡ุฐุง ุงู„ุณุจุจ two important two
2988
+
2989
+ 748
2990
+ 01:04:17,960 --> 01:04:21,260
2991
+ important portions of the writing are the proper
2992
+
2993
+ 749
2994
+ 01:04:21,260 --> 01:04:26,320
2995
+ statement and the resultsุฅู†ูƒ ุชุญูƒูŠ ุฅูŠุด ุงู„ู…ุด๏ฟฝ๏ฟฝู„ุฉ ูˆ
2996
+
2997
+ 750
2998
+ 01:04:26,320 --> 01:04:28,520
2999
+ ุฅูŠุด ุงู„ู†ุชุงุฌุŒ ู‡ุฏูˆู„ ู…ู‡ู…ูŠู† ูƒุชูŠุฑุŒ ู‡ุฏ ุชูƒูˆู† ููŠ ุงู„ู…ู„ุฎุตุŒ ููŠ
3000
+
3001
+ 751
3002
+ 01:04:28,520 --> 01:04:32,320
3003
+ ุงู„ abstract ููŠ ุงู„ู…ู„ุฎุต ู„ุงุฒู… ุชูˆุตู ุงู„ู…ุดูƒู„ุฉ ุตุญ ูˆ
3004
+
3005
+ 752
3006
+ 01:04:32,320 --> 01:04:38,580
3007
+ ุงู„ู†ุชุงุฌ ุจุชุงุนุชูƒ ุทุจ ูˆ ุฅู†ุช ุจุชูˆุตู ุงู„ objective ุฃูˆ ุงู„
3008
+
3009
+ 753
3010
+ 01:04:38,580 --> 01:04:43,000
3011
+ problem ูˆ ุจุนุฏูŠู† ุชุญูƒูŠ ููŠ ุงู„ abstract ุงู„ู…ุซุฏุฑุฌูŠ how
3012
+
3013
+ 754
3014
+ 01:04:43,000 --> 01:04:47,020
3015
+ .. how you handle it ูƒูŠู ุชุชุนุงู…ู„ุช ู…ุนุงู‡ุงุจุนุฏ ุชุญูƒูŠ ุงู„
3016
+
3017
+ 755
3018
+ 01:04:47,020 --> 01:04:51,320
3019
+ results what you achieve ูŠุนู†ูŠ ุงู„ู„ูŠ ูŠุนู†ูŠ ุฃู†ุช ุฅูŠุด
3020
+
3021
+ 756
3022
+ 01:04:51,320 --> 01:04:56,640
3023
+ ุงู„ู…ุดูƒู„ุฉ ูƒูŠู ุชุนุงู…ู„ุช ู…ุนุงู‡ุง ูˆ ุงู„ู†ุชุงุฆุฌ ุจุดูƒู„ ู…ุฑูƒุฒ ูˆ
3024
+
3025
+ 757
3026
+ 01:04:56,640 --> 01:05:01,840
3027
+ ุชูƒูˆู† ููŠ ุญุฏูˆุฏ ู†ุต ุตูุญุฉ ุชู‚ุฑูŠุจุง
3028
+
3029
+ 758
3030
+ 01:05:01,840 --> 01:05:05,480
3031
+ adequately done ุฅุฐุง ุนู…ู„ุช ุงู„ problem statement ุฃูˆ
3032
+
3033
+ 759
3034
+ 01:05:05,480 --> 01:05:10,520
3035
+ ุงู„ abstract ุฅุฐุง ุนู…ู„ุช ุงู„ abstract ุจุดูƒู„ ู…ุญุชุฑูู‡ุฐุง ู‡ูˆ
3036
+
3037
+ 760
3038
+ 01:05:10,520 --> 01:05:14,440
3039
+ ุงู„ู„ูŠ ุจุฌุฐุจ ุงู„ other authors ุฃูˆ ุงู„ู‚ุฑุงุฆุฏ ุงู„ุฃุฎุฑูŠู† ุฅุฐุง
3040
+
3041
+ 761
3042
+ 01:05:14,440 --> 01:05:17,120
3043
+ ุจุชุทู„ุน ุงู„ paper ุนู„ู‰ ุฌูˆุฌู„ ุฃูˆู„ ุงู„ู„ูŠ ุจุชุทู„ุน ุชู‚ุฑุฃ ุงู„
3044
+
3045
+ 762
3046
+ 01:05:17,120 --> 01:05:21,880
3047
+ paper ุฃูˆู„ ุงู„ู„ูŠ ุจุชู‚ุฑุฃ ุงู„ู…ู„ุฎุต ุจู‚ุฑุง ู…ู„ุฎุต ุฅุฐุง ู…ู„ุฎุต
3048
+
3049
+ 763
3050
+ 01:05:21,880 --> 01:05:28,180
3051
+ ุดูˆูุชู‡ ู…ุง ุญูŠููŠุฏูƒ ุจุชูƒู…ู„ ุดูˆูุชู‡ ู…ุง ุฌุฐุจูƒุงุด ุนู„ู‰ ุทูˆู„ ู…ุด
3052
+
3053
+ 764
3054
+ 01:05:28,180 --> 01:05:33,820
3055
+ ู‡ุชุทู„ุน ุจุนุถ ุงู„ุฃุญูŠุงู† ุญุชู‰ ุจุงู„ู…ู„ุฎุต ุจุฑูˆุญ ุนู„ู‰ ุขุฎุฑ ุฅุดูŠ
3056
+
3057
+ 765
3058
+ 01:05:33,820 --> 01:05:37,520
3059
+ ุจุนู…ู„ search ุฌูˆุง ุงู„ู…ู„ุฎุต ู…ุด ูุงุถุญ ุฃู‚ุฑุฃ ุงู„ู…ู„ุฎุต ุจูƒุชูˆู
3060
+
3061
+ 766
3062
+ 01:05:37,520 --> 01:05:41,330
3063
+ ุงู„ results ุฃู†ุงู…ุซู„ุง ุจุฏูŠ thermoconductivity ู„ู„ .. ู„ู„
3064
+
3065
+ 767
3066
+ 01:05:41,330 --> 01:05:46,530
3067
+ .. ู„ู„ rubber ู…ุซู„ุง ุนู„ุงู‚ุชู‡ุง ู…ุน ุงู„ .. ู…ุน ุงู„ .. ุงู„ ..
3068
+
3069
+ 768
3070
+ 01:05:46,530 --> 01:05:51,310
3071
+ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุจูŠู‡ู…ู†ูŠ ุงู„ู†ุชูŠุฌุฉ ุงู†ุง ุฎู„ุงุต ุงู†ุง ุนุงุฑูุด
3072
+
3073
+ 769
3074
+ 01:05:51,310 --> 01:05:54,590
3075
+ ุงู„ู…ุดูƒู„ุฉ ุจุฏูŠ ุงู„ู†ุชูŠุฌุฉ ุงุฐุง ุดูˆูุช ุงู„ paper ุจุชุฏุด ูƒุชูŠุฑ ู‡ูˆ
3076
+
3077
+ 770
3078
+ 01:05:54,590 --> 01:05:58,910
3079
+ ุงู†ุง ู…ุด .. ุงุทูˆู„ ุจุดูˆู ุนู„ู‰ ุงู„ู„ูŠ ุจุนุฏู‡ุง ูุฅู†ูƒ ุชูƒุชุจ ุงู„
3080
+
3081
+ 771
3082
+ 01:05:58,910 --> 01:06:01,470
3083
+ problem statement ูˆ ุงู„ results ุจุดูƒู„ ุฏู‚ูŠู‚ ูˆ ุจุดูƒู„
3084
+
3085
+ 772
3086
+ 01:06:01,470 --> 01:06:05,310
3087
+ ุฌุฐุงุจ ู‡ุฐุง ู‡ูˆ ู‡ูŠุฌุฐุจ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ู‚ุฑุงุก ู„ู„ุดุบู„
3088
+
3089
+ 773
3090
+ 01:06:05,310 --> 01:06:05,710
3091
+ ุจุชุงุนูƒ
3092
+
3093
+ 774
3094
+ 01:06:09,050 --> 01:06:11,990
3095
+ ููŠ ุงู„ technical power space number of words ุงู„ู„ูŠ
3096
+
3097
+ 775
3098
+ 01:06:11,990 --> 01:06:15,330
3099
+ ู‡ูˆ ุงู„ space ุงู„ู…ุชุงุญ ู„ูƒ ููŠ ุงู„ู†ุดุฑ ู…ุด ู…ุณู…ูˆุญ ู„ูƒ ุชูƒุชุจ
3100
+
3101
+ 776
3102
+ 01:06:15,330 --> 01:06:19,790
3103
+ ุฃู„ู ุตูุญุฉ ู…ุณู…ูˆุญ ู„ูƒ ุนู†ุฏูƒ ุญุฏ ุฃู‚ุตู‰ ู…ู† ุงู„ุตูุญุงุช ุจ font
3104
+
3105
+ 777
3106
+ 01:06:19,790 --> 01:06:26,750
3107
+ ู…ุนูŠู† ุนุฏุฏ ูƒู„ู…ุงุช ู…ุณู…ูˆุญ ู„ูƒ ุญุฏ ุฃู‚ุตู‰ ุงู„ุตูˆุฑ ุฃูˆ ุงู„ุฃุดูƒุงู„
3108
+
3109
+ 778
3110
+ 01:06:26,750 --> 01:06:34,730
3111
+ ู…ุญุฏูˆุฏ ุจุฑุถู‡ ุงู†ุช ู…ุญุฏูˆุฏ ููŠู‡ุง ููŠู‡ ุชู‚ูŠูŠุฏุงุช ูŠุนู†ูŠ ุงุญู†ุง
3112
+
3113
+ 779
3114
+ 01:06:34,730 --> 01:06:39,360
3115
+ ู‡ู†ุชุฏุฑุน ุงุฐุง ู…ุง ุญูƒูŠู†ุงูŠุนู†ูŠ executive summary,
3116
+
3117
+ 780
3118
+ 01:06:39,780 --> 01:06:43,560
3119
+ laboratory note, full report, progress report ูˆ
3120
+
3121
+ 781
3122
+ 01:06:43,560 --> 01:06:47,880
3123
+ ุจุนุฏูŠู† technical paper ู…ุทู„ูˆุจ ุงู†ูƒูˆุง ุงู†ูƒูˆุง ุชุจุฏุฃูˆุง
3124
+
3125
+ 782
3126
+ 01:06:47,880 --> 01:06:51,080
3127
+ ุชุทู„ุนูˆุง ุจูŠุงู†ุงุช ูŠุนู†ูŠ ู‡ุฐุง assignment ู„ูƒูˆุง ุชุทู„ุนูˆุง ู„ูŠู‡
3128
+
3129
+ 783
3130
+ 01:06:51,080 --> 01:06:54,400
3131
+ ุจูŠุงู†ุงุช ุนู„ู‰ ุงู„ู„ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃุดูƒุงู„ ุงู„ู…ุฎุชู„ูุฉ ุทุจุนุง ููŠ
3132
+
3133
+ 784
3134
+ 01:06:54,400 --> 01:06:58,320
3135
+ ูƒุชุจ ูƒุชูŠุฑ ุงุชุฑูˆู‡ุง ุนู„ู‰ ุงู„ amazon ู‡ุชู„ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ
3136
+
3137
+ 785
3138
+ 01:06:58,320 --> 01:07:01,840
3139
+ technical report writing technical report writing
3140
+
3141
+ 786
3142
+ 01:07:03,440 --> 01:07:07,480
3143
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ูƒุชุงุจุฉ ุงู„ูู†ูŠุฉ ู…ู† ุถู…ู† ู‡ูŠูƒูˆู† ูŠุญูƒูˆุง ุนู„ุงู‚ุงุช
3144
+
3145
+ 787
3146
+ 01:07:07,480 --> 01:07:11,760
3147
+ ุนู„ู‰ ุงู„ executive summary ุฃูˆ ุงู„ laboratory note ุฃูˆ
3148
+
3149
+ 788
3150
+ 01:07:11,760 --> 01:07:14,700
3151
+ ุงู„ full report ุฃูˆ progress report ุฃูˆ technical
3152
+
3153
+ 789
3154
+ 01:07:14,700 --> 01:07:19,020
3155
+ paper ู‡ูŠูƒ
3156
+
3157
+ 790
3158
+ 01:07:19,020 --> 01:07:25,280
3159
+ ูŠูƒูˆู† ุฎู„ุตู†ุง chapter ูˆุงุญุฏ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ ู„ู…ุญุงุถุฑุฉ
3160
+
3161
+ 791
3162
+ 01:07:25,280 --> 01:07:28,540
3163
+ ุงู„ุฌุงูŠ ุจู†ูƒู…ู„ chapter ุงุชู†ูŠู†
3164
+
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@@ -0,0 +1,1664 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,060 --> 00:00:07,820
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,820 --> 00:00:13,200
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ chapter three ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู…
8
+
9
+ 3
10
+ 00:00:13,200 --> 00:00:15,640
11
+ ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช assessing and presenting
12
+
13
+ 4
14
+ 00:00:15,640 --> 00:00:24,030
15
+ experimental data ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุชุฉ ุญู„ู†ุง ู…ุซุงู„ุนู„ู‰
16
+
17
+ 5
18
+ 00:00:24,030 --> 00:00:32,650
19
+ ู‚ูŠุงุณุงุช ุงู„ุถุบุท ุถุบุท ุจุฎุงุฑ ู…ุง ูƒุงู† ุนู†ุฏู‡ ุฃุฎุฏู†ุง ู…ุงุฆุฉ ู‚ุฑุงุกุฉ
20
+
21
+ 6
22
+ 00:00:32,650 --> 00:00:40,890
23
+ ูƒุงู† ู…ูุชุฑุถ ุนู„ู‰ ุงู„ exit ูŠูƒูˆู† ุงู„ุถุบุท ู…ุงุฆุฉ ุฃุฑุจุน
24
+
25
+ 7
26
+ 00:00:40,890 --> 00:00:47,270
27
+ ู…ูŠุฌุงุจุงุณูƒุงู„ ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุฃุฑุจุนูŠู† ุจุงุฑ ู„ูƒู†
28
+
29
+ 8
30
+ 00:00:47,270 --> 00:00:52,430
31
+ ู„ุนุฏุฉ ุฃุณุจุงุจ ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ู…ุณุชุญูŠู„ ุชูƒูˆู† ุฃุฑุจุนู…ูŠุฉ ููŠ
32
+
33
+ 9
34
+ 00:00:52,430 --> 00:00:57,310
35
+ ุงู„ู…ูŠุฉ ุงูŠู‡ ุงู„ู„ูŠ ูŠุตูŠุฑ ููŠู‡ ุชุฏุจุฏ ููŠ ุงู„ู‚ุฑุงุกุงุช ุนู…ู„ู†ุง
36
+
37
+ 10
38
+ 00:00:57,310 --> 00:01:02,830
39
+ statistical analysis ูˆุฌูŠุจู†ุง ุงู„ mean ูˆุฌูŠุจู†ุง ุงู„
40
+
41
+ 11
42
+ 00:01:02,830 --> 00:01:08,950
43
+ standard deviation ูˆุฌูŠุจู†ุง confidence intervals ุงู„
44
+
45
+ 12
46
+ 00:01:08,950 --> 00:01:13,210
47
+ previous exampleุฃูˆู„ ุฌู‡ุฉ ุงู†ุง ูƒูŠู ู…ู…ูƒู† ุงู‚ูŠู… ุงู„
48
+
49
+ 13
50
+ 00:01:13,210 --> 00:01:15,710
51
+ dispersion ูŠุนู†ูŠ ุงู„ุณู…ุจ ู…ู† ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู…ูŠุช ุงู„ู‚ุฑุงุกุฉ
52
+
53
+ 14
54
+ 00:01:15,710 --> 00:01:19,030
55
+ ุจุฏูŠ ุงุดูˆู ูƒูŠู ุงู„ dispersion ูŠุนู†ูŠ ุงู„ุชุดุชุช ุงูˆ ุชุชุจุฏู„
56
+
57
+ 15
58
+ 00:01:19,030 --> 00:01:27,610
59
+ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ู„ู‚ุฑุงุกุงุช it
60
+
61
+ 16
62
+ 00:01:27,610 --> 00:01:31,050
63
+ did not yield an estimate for the uncertainty in
64
+
65
+ 17
66
+ 00:01:31,050 --> 00:01:33,910
67
+ using X bar as an approximation to the true main
68
+
69
+ 18
70
+ 00:01:33,910 --> 00:01:36,930
71
+ value ุงู„ุงู† X bar ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุง ุชุนู†ูŠ ุงู„ู‚ูŠู…ุฉ
72
+
73
+ 19
74
+ 00:01:36,930 --> 00:01:41,510
75
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู„ูŠ ุจุฑุดู‡ุงู„ุฃู†ู‡ ุฃู†ุง ุฃุฎุฏุช ุจุณ ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู…ุฏุฉ
76
+
77
+ 20
78
+ 00:01:41,510 --> 00:01:49,870
79
+ ุงุชู†ุงุดุฑ ุณุงุนุฉ ู„ูƒู† ู‡ุฐุง ุงู„ุฎุท ุงู„ุจุฎุงุฑ ุดุบุงู„ ุนู„ู‰ ุทูˆู„ ุฑู‚ู…
80
+
81
+ 21
82
+ 00:01:49,870 --> 00:01:53,910
83
+ ูˆุงุญุฏ ูˆู…ุญุชุงุฌ ู‚ุฑุงุกุงุช ูƒุชูŠุฑ ุนุดุงู† ุฃุตู„ ู„ู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
84
+
85
+ 22
86
+ 00:01:53,910 --> 00:01:58,350
87
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ุฒูˆุฏุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุฃูƒุชุฑ ูƒู„ ู…ุง ูƒู†ุช ุฃู‚ุฑุจ
88
+
89
+ 23
90
+ 00:01:58,350 --> 00:01:59,810
91
+ ู„ู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
92
+
93
+ 24
94
+ 00:02:03,650 --> 00:02:10,270
95
+ ูู…ุง ุชุทู†ูŠุด ู†ุณุจุฉ ุงู„ุจุนุฏ ุงู„ average value ุนู† ุงู„ true
96
+
97
+ 25
98
+ 00:02:10,270 --> 00:02:16,290
99
+ value ุงู„ true main value ู„ูˆ
100
+
101
+ 26
102
+ 00:02:16,290 --> 00:02:21,570
103
+ ุนุฏู†ุง ูุญุต ุงู„ุถุบุท ูˆ ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ุงุฆุฉ ู†ู‚ุทุฉ ู…ุงุฆุฉ ู‚ุฑุงุกุฉ
104
+
105
+ 27
106
+ 00:02:21,570 --> 00:02:26,210
107
+ ู‡ู„ ู‡ู†ุญุตู„ ุนู„ู‰ ู†ูุณ ุงู„ main value ู„ุฃ ู…ุด ู‡ู†ุญุตู„ ุนู„ู‰ ู†ูุณ
108
+
109
+ 28
110
+ 00:02:26,210 --> 00:02:29,330
111
+ ุงู„ main value ู„ูˆ ุนู…ู„ู†ุง ูƒู…ุงู† ุชุฌุฑุจุฉ ุฃู…ูˆ ุงุชู†ุงุดุฑ ุณุงุนุฉ
112
+
113
+ 29
114
+ 00:02:29,330 --> 00:02:31,830
115
+ ุชุงู†ูŠุฉ ูˆ ุนู…ู„ู†ุง ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ู‡ู„ ู‡ู†ุญุตู„ ุนู„ู‰
116
+
117
+ 30
118
+ 00:02:31,830 --> 00:02:36,840
119
+ ู†ูุณ ุงู„ main valueูŠุนู†ูŠ ู„ูˆ ุนู†ุฏู†ุง ุชุฌุฑุจุฉ ู…ูŠุช ู…ุฑุฉ ู‡ูŠูƒูˆู†
120
+
121
+ 31
122
+ 00:02:36,840 --> 00:02:41,060
123
+ ููŠ ุนู†ุฏู‡ ุชุดุชุช ู„ุนู† ูƒู„ ุชุฌุฑุจุฉ ู„ูƒู„ ู…ูŠุช ูƒุฑุฉ ููŠ ุนู†ุฏู‡ ู‚ูŠู…
124
+
125
+ 32
126
+ 00:02:41,060 --> 00:02:44,280
127
+ ู…ุชูˆุณุทุฉ ูŠุนู†ูŠ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ุฑู‚ู… ูˆุงุญุฏ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ
128
+
129
+ 33
130
+ 00:02:44,280 --> 00:02:47,460
131
+ ุฑู‚ู… ุงุชู†ูŠู† ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ุฑู‚ู… ุชู„ุงุชุฉ ูˆ ุงุฎุฑ ูุญุชู‰
132
+
133
+ 34
134
+ 00:02:47,460 --> 00:02:51,980
135
+ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ููŠู‡ ู‡ุงุด distribution ููŠ ุนู†ุฏู‡ ุชุดุชุช
136
+
137
+ 35
138
+ 00:02:51,980 --> 00:03:02,440
139
+ ู„ู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ู…ู‚ุงุจู„ ู…ุชูˆุณุท ุงู„ู…ุชูˆุณุทุงุชููŠ ุชุดุชุช
140
+
141
+ 36
142
+ 00:03:02,440 --> 00:03:12,640
143
+ ุงู„ู…ุชูˆุณุท ุงู„ู…ุชูˆุณุทุงุช ุฒู‰
144
+
145
+ 37
146
+ 00:03:12,640 --> 00:03:15,600
147
+ ู…ุง ุญูƒูŠู†ุง samples of the mean also show a
148
+
149
+ 38
150
+ 00:03:15,600 --> 00:03:19,580
151
+ dispersion about a central value ุจุฑุถู‡ ุงู„ู…ุชูˆุณุท ู„ูƒู„
152
+
153
+ 39
154
+ 00:03:19,580 --> 00:03:24,960
155
+ ุชุฌุฑุจุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ุญูˆุงู„ูŠ ุฃู…ูŠุฉ ู‚ุฑุงุกุฉ ุจูŠูƒูˆู† ููŠู‡ุง ูŠุนู†ูŠ
156
+
157
+ 40
158
+ 00:03:24,960 --> 00:03:28,200
159
+ ุชุชุจุฏุฃ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ
160
+
161
+ 41
162
+ 00:03:32,120 --> 00:03:38,200
163
+ ุฅุฐุง ูƒุงู†ุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู„ูƒู„ ุนูŠู†ุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ูƒุจูŠุฑุฉ ุฌุฏุง
164
+
165
+ 42
166
+ 00:03:38,200 --> 00:03:42,740
167
+ ุฅุฐุง
168
+
169
+ 43
170
+ 00:03:42,740 --> 00:03:47,520
171
+ ูƒุงู†ุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู„ูƒู„ ุนูŠู†ุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ูƒุจูŠุฑุฉ ุฌุฏุงูˆุงู„
172
+
173
+ 44
174
+ 00:03:47,520 --> 00:03:51,520
175
+ standard deviation ู„ู„ main value ุงู†ุง ุนู†ุฏู‰ ุนู…ู„ุช ุนุดุฑ
176
+
177
+ 45
178
+ 00:03:51,520 --> 00:03:56,820
179
+ ุชุฌุงุฑุจ ุงูˆ ู†ุญูƒูŠ ู…ูŠุฉ ุชุฌุงุฑุจุฉ ูƒู„ ุชุฌุงุฑุจุฉ ู…ูŠุช ู‚ุฑุงุก ูƒู„ ู…ูŠุช
180
+
181
+ 46
182
+ 00:03:56,820 --> 00:04:00,160
183
+ ู‚ุฑุงุก ู„ู‡ู… average value ู…ุนู†ุงุชู‡ ู„ู„ average values
184
+
185
+ 47
186
+ 00:04:00,160 --> 00:04:05,860
187
+ ู…ู…ูƒ๏ฟฝ๏ฟฝ ุงุฌูŠุจู‡ุงุด average ูˆู„ู„ average values ู‡ูƒูˆู† ููŠ
188
+
189
+ 48
190
+ 00:04:05,860 --> 00:04:08,900
191
+ ุนู†ุฏู‰ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ standard deviation ุงู„ุงู†ุญุฑุงู
192
+
193
+ 49
194
+ 00:04:08,900 --> 00:04:13,620
195
+ ุงู„ู…ุนูŠุงุฑูŠ ู„ู„ average values ุจูŠูƒูˆู† sigma ุนู„ู‰ ุฌุฒุฑ
196
+
197
+ 50
198
+ 00:04:13,620 --> 00:04:19,090
199
+ ุงู„ุชุฑุจูŠุนูŠ ู„ู„ Nุงู„ู€ Sigma ู‡ูŠ ุงู„ุญุฑุงุฑุฉ ููŠ ุงู„ู…ุนูŠุงุฑุฉ ู„ูƒู„
200
+
201
+ 51
202
+ 00:04:19,090 --> 00:04:22,210
203
+ ุชุฌุฑุจุฉ ุงู„ุชุฌุฑุจุฉ ุงู„ูˆุงุญุฏุฉ ุงู†ุง ุนู…ู„ุช ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ุงู„ Sigma
204
+
205
+ 52
206
+ 00:04:22,210 --> 00:04:26,850
207
+ ู‡ุฐู‡ ุจุชุงุนุฉ ุงู„ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ุนู…ู„ุช ู…ุซู„ุง ู…ุงุฆุฉ ุชุฌุฑุจุฉ ูƒู„
208
+
209
+ 53
210
+ 00:04:26,850 --> 00:04:32,490
211
+ ุชุฌุฑุจุฉ ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ูˆุงุถุญ ูุงู„ Sigma ู‡ุฐู‡ ุงู„ standard
212
+
213
+ 54
214
+ 00:04:32,490 --> 00:04:42,470
215
+ deviation ู„ ุงู„ sample X
216
+
217
+ 55
218
+ 00:04:42,470 --> 00:04:47,830
219
+ bar ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุจุณุทุฉ ู„ู„ุชุฌุฑุจุฉis Gaussian distributed
220
+
221
+ 56
222
+ 00:04:47,830 --> 00:04:53,370
223
+ ูŠุนู†ูŠ ุงู„ุดูƒู„ ุงู„ุชูˆุฒูŠุน ุงู„ู‚ุฑุงุกุงุช ุจุชุจู‚ู‰ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
224
+
225
+ 57
226
+ 00:04:53,370 --> 00:04:59,010
227
+ ูˆุงู„ standard deviation ุจุชุงุนุฉ sigma x bar ู…ู…ูƒู† ุงุนุฑู
228
+
229
+ 58
230
+ 00:04:59,010 --> 00:05:08,570
231
+ ุงู„ z variable ุงู„ู„ูŠ ู‡ูˆ z ุณูˆุงุก x bar minus mu ุนู„ู‰
232
+
233
+ 59
234
+ 00:05:08,570 --> 00:05:19,520
235
+ sigma x bar ูˆ sigma x bar ุจุงู„ุณูˆุงุก sigmaุนู„ู‰ ุฌุฏุฑ N
236
+
237
+ 60
238
+ 00:05:19,520 --> 00:05:25,560
239
+ ุงุฐุง
240
+
241
+ 61
242
+ 00:05:25,560 --> 00:05:28,820
243
+ ูƒุงู† ุนู†ุฏู‰ confidence interval C ูŠุนู†ูŠ ุนู†ุฏู‰
244
+
245
+ 62
246
+ 00:05:28,820 --> 00:05:35,260
247
+ confidence 95% ุงูˆ confidence ุนู†ุฏู‰ 99% ู„ู„ true mean
248
+
249
+ 63
250
+ 00:05:35,260 --> 00:05:39,140
251
+ value ูƒุงู†ุช ุงู„ true mean value ู‡ุชูƒูˆู† ุจูŠู† lower
252
+
253
+ 64
254
+ 00:05:39,140 --> 00:05:44,370
255
+ bound ุจูŠู† ู‚ูŠู…ุฉุฏู†ูŠุง ูˆู‚ูŠู…ุฉ ุนุธู…ู‰ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุฏู†ูŠุง
256
+
257
+ 65
258
+ 00:05:44,370 --> 00:05:50,810
259
+ ู‡ุชูƒูˆู† ุงู„ true value ุจูŠู† x bar minus zc ุน 2 ููŠ
260
+
261
+ 66
262
+ 00:05:50,810 --> 00:05:56,530
263
+ sigma ุนู„ู‰ ุฌุฏุฑ n ูˆ ุจูŠู† x bar ูˆ zc ุน 2 ููŠ sigma ุนู„ู‰
264
+
265
+ 67
266
+ 00:05:56,530 --> 00:06:03,330
267
+ ุฌุฏุฑ n ุทุจุนุง
268
+
269
+ 68
270
+ 00:06:03,330 --> 00:06:07,230
271
+ ุญุชู‰ ุงู„ sample ู„ูˆ ูƒุงู†ุช large ุจุชู…ุซู„ุด ุงู„ population
272
+
273
+ 69
274
+ 00:06:09,120 --> 00:06:11,520
275
+ population ุฒู‰ ู…ุง ุญูƒูŠุชู‡ุง ุงู„ู†ุงุณ ููŠ ุญุงู„ุฉ ู…ุฑุถู‰ ุงู„ุณูƒุฑ
276
+
277
+ 70
278
+ 00:06:11,520 --> 00:06:14,020
279
+ ููŠ ูู„ุณุทูŠู† ู‡ุฐุง ู‡ูˆ ุงู„ population ูƒู„ ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ
280
+
281
+ 71
282
+ 00:06:14,020 --> 00:06:16,920
283
+ ูู„ุณุทูŠู† ู‡ู… ุงู„ population ู„ูƒู† ุงู„ sample ุงู„ู„ู‰ ุฃุฎุฏุช
284
+
285
+ 72
286
+ 00:06:16,920 --> 00:06:22,180
287
+ ุงู„ุนูŠู†ุฉ ู…ู† ุงู„ู ุดุฎุต ู‡ุฏูˆู„ ุตุญ large ุจุณ ุจุชุถู„ู‡ุง sample
288
+
289
+ 73
290
+ 00:06:22,180 --> 00:06:27,730
291
+ ุจุชุถู„ู‡ุง sampleููŠ ุญุงู„ุฉ large sample ู…ู…ูƒู† ุงุนุชุจุฑ ุงู„
292
+
293
+ 74
294
+ 00:06:27,730 --> 00:06:32,670
295
+ sigma ุจุชุงุนุฉ ุงู„ population ู‡ูŠ ู†ูุณ ุงู„ standard
296
+
297
+ 75
298
+ 00:06:32,670 --> 00:06:34,950
299
+ deviation ุจุชุงุนุฉ ุงู„ sample ูŠุนู†ูŠ ู…ู…ูƒู† ุชู‚ุฑูŠุจุง ุงู†ุง
300
+
301
+ 76
302
+ 00:06:34,950 --> 00:06:38,990
303
+ ุงุญูƒูŠ ุงู„ sigma ุงู„ุณุงูˆูŠุฉ Sx ุงู„ Sx ู‡ูŠ ุงู„ standard
304
+
305
+ 77
306
+ 00:06:38,990 --> 00:06:45,370
307
+ deviation ู„ ุงู„ sample ูŠุนู†ูŠ ุงู„ true mean value
308
+
309
+ 78
310
+ 00:06:45,370 --> 00:06:52,170
311
+ ู‡ุชุชุฑูˆุญ ุจูŠู† lower bound ูˆ upper bound and ู‡ุฏู‡ Sx
312
+
313
+ 79
314
+ 00:06:52,170 --> 00:06:55,180
315
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard deviation of the sampleูˆ ู‡ุฐุง
316
+
317
+ 80
318
+ 00:06:55,180 --> 00:06:57,780
319
+ ุงู„ุงู† ุงู„ number of points ููŠ ุงู„ sample ุงูˆ ุนุฏุฏ
320
+
321
+ 81
322
+ 00:06:57,780 --> 00:07:02,620
323
+ ุงู„ู‚ู„ุนุงุช ููŠ ุงู„ sample ู†ุดูˆู
324
+
325
+ 82
326
+ 00:07:02,620 --> 00:07:08,420
327
+ ู…ุซุงู„ determine
328
+
329
+ 83
330
+ 00:07:08,420 --> 00:07:12,340
331
+ a 99 percent confidence interval ุงู„ confidence
332
+
333
+ 84
334
+ 00:07:12,340 --> 00:07:18,940
335
+ interval ุงู†ุฏู‡ 99% for the mean pressure calculated
336
+
337
+ 85
338
+ 00:07:18,940 --> 00:07:21,620
339
+ in the previous example
340
+
341
+ 86
342
+ 00:07:24,860 --> 00:07:26,800
343
+ ููŠ ุงู„ example of privacy ูƒุงู† ุงู„ minimum pressure
344
+
345
+ 87
346
+ 00:07:26,800 --> 00:07:35,120
347
+ ุฃูƒุชุฑ ู…ู† ู‚ูŠู…ุชู‡ ูƒุงู†ุช ุฃุฑุจุนุฉ ุฅุฐุง ูุงูƒุฑูŠู† point o o
348
+
349
+ 88
350
+ 00:07:35,120 --> 00:07:38,940
351
+ ูุงูƒุฑูŠู†ู‡ุง
352
+
353
+ 89
354
+ 00:07:38,940 --> 00:07:49,060
355
+ ู‡ุฐู‡ ู…ู† ุงู„ exam ุงู„ู„ูŠ ุงู„ูุงุช ู†ุฑุฌุน ุฑุฌูˆุน ู‡ูŠุง ุงู„ main
356
+
357
+ 90
358
+ 00:07:49,060 --> 00:07:54,940
359
+ ูƒุงู†ุช ู‡ูŠุง ุฃุฑุจุนุฉ point o o ุณุจุนุฉ ุณุจุนุฉุฃู†ุง ู…ู‚ุฑุจ ุฅู„ู‰
360
+
361
+ 91
362
+ 00:07:54,940 --> 00:08:02,500
363
+ ุฃุฑุจุนุฉ point ุฃูˆ ุชู…ุงู†ูŠุฉ ูˆ
364
+
365
+ 92
366
+ 00:08:02,500 --> 00:08:08,560
367
+ ุงู„ standard deviation ูƒุงู† ุงู„ Sx ุงู„ู„ูŠ ู‡ูŠ point ุฃูˆ
368
+
369
+ 93
370
+ 00:08:08,560 --> 00:08:13,540
371
+ ู…ูŠุฌุง
372
+
373
+ 94
374
+ 00:08:13,540 --> 00:08:14,560
375
+ ุจุณูƒุงู„
376
+
377
+ 95
378
+ 00:08:26,400 --> 00:08:28,880
379
+ ุงู„ู€ confidence interval ู„ูˆ ุญูƒูŠุช ู‡ุงูŠ ุงู„
380
+
381
+ 96
382
+ 00:08:28,880 --> 00:08:34,160
383
+ distribution ู‡ุฐุง
384
+
385
+ 97
386
+ 00:08:34,160 --> 00:08:37,980
387
+ ุงู„ z distribution ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ confidence ุชุณุนุฉ
388
+
389
+ 98
390
+ 00:08:37,980 --> 00:08:45,920
391
+ ุณู†ุชูŠู† ููŠ ุงู„ู…ูŠุฉ ุชุณุนุฉ ุณู†ุชูŠู† ููŠ ุงู„ู…ุนู†ุงุชู‡ ู‡ุฐุง ุจูŠุนุทูŠู†ูŠ
392
+
393
+ 99
394
+ 00:08:45,920 --> 00:08:51,920
395
+ ู‡ูˆ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ูƒู„ู‡ุง
396
+
397
+ 100
398
+ 00:08:51,920 --> 00:08:57,250
399
+ ุงู„ู„ูŠ ู‡ูŠ ูƒู„ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ point ุชุณุนุฉ ุฏุณุนุฉุตุญุŸ ู…ุตู‡ุง ูƒู…ุŸ
400
+
401
+ 101
402
+ 00:08:57,250 --> 00:09:11,850
403
+ ู‡ุฐุง ุงู„ู…ุณุงุญุฉ point 9 9 ุนู„ู‰ 2 point 4 9 5 ูŠุนู†ูŠ ู‡ุฐุง
404
+
405
+ 102
406
+ 00:09:11,850 --> 00:09:15,670
407
+ ุงู„ู€ Z ู‡ุฐุง ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€
408
+
409
+ 103
410
+ 00:09:15,670 --> 00:09:15,850
411
+ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
412
+
413
+ 104
414
+ 00:09:15,850 --> 00:09:18,990
415
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
416
+
417
+ 105
418
+ 00:09:18,990 --> 00:09:22,570
419
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
420
+
421
+ 106
422
+ 00:09:22,570 --> 00:09:22,590
423
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
424
+
425
+ 107
426
+ 00:09:22,590 --> 00:09:22,670
427
+ ุงู„ู€ Z ุงู„ู€
428
+
429
+ 108
430
+ 00:09:45,700 --> 00:09:52,160
431
+ ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ ุงู„ูƒุชุงุจ ุฒูŠ image ูŠุนู†ูŠ ูุจุชู‚ุฏุฑุด ุชุนู…ู„ ููŠู‡
432
+
433
+ 109
434
+ 00:09:52,160 --> 00:10:06,020
435
+ search ุทูŠุจ
436
+
437
+ 110
438
+ 00:10:12,580 --> 00:10:29,220
439
+ ุงู„ุนูŠู† ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ point ุฃุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ุจูŠู†
440
+
441
+ 111
442
+ 00:10:29,220 --> 00:10:34,320
443
+ ู‡ุฐู‡ ูˆู‡ุฐู‡ ุตุญ
444
+
445
+ 112
446
+ 00:10:34,320 --> 00:10:39,560
447
+ ูู‡ุฐู‡
448
+
449
+ 113
450
+ 00:10:39,560 --> 00:10:45,400
451
+ ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุณุจุนุฉุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุณุจุนุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ู‡ุชู…ุซู„ ุงู„
452
+
453
+ 114
454
+ 00:10:45,400 --> 00:10:51,160
455
+ Z ุจุชุงุนุชู‡ุง ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ู„ุฃู†ู‡ ุฌุงูŠ ููŠ
456
+
457
+ 115
458
+ 00:10:51,160 --> 00:10:56,340
459
+ ุงู„ู…ุต ู‡ูŠ ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ
460
+
461
+ 116
462
+ 00:10:56,340 --> 00:11:06,180
463
+ ุงู„ู…ุนู†ู‰ ุงู„ Z ู‡ุชูƒูˆู† ู…ู† ุชุงุจู„ ุงุชู†ูŠู† ุงู„ Z ุชุงุน
464
+
465
+ 117
466
+ 00:11:06,180 --> 00:11:13,140
467
+ point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉุจูŠุณุชูˆู‰ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ
468
+
469
+ 118
470
+ 00:11:13,140 --> 00:11:18,660
471
+ ุฎู…ุณุฉ ุงู„ู…ุนุงุฏู„ุฉ
472
+
473
+ 119
474
+ 00:11:18,660 --> 00:11:28,160
475
+ ุงู† ู‡ูŠ ุงู„ู…ูŠูˆ ูŠุนู†ูŠ
476
+
477
+ 120
478
+ 00:11:28,160 --> 00:11:32,260
479
+ ู‡ุฐุง ุงู„ term ู‡ูˆ ู†ูุณ ู‡ุฐุง ุงู„ term ู‡ุฐุง ุงู„ term ู‡ูˆ ู†ูุณ
480
+
481
+ 121
482
+ 00:11:32,260 --> 00:11:38,840
483
+ ู‡ุฐุง ุงู„ term ุจุณ ูˆุงุญุฏ ู…ูˆุฌุจ ูˆุงุญุฏ ุณุงู„ุจ ู…ุนู†ุงุชู‡ ุงู„ู…ูŠูˆ
484
+
485
+ 122
486
+ 00:11:40,190 --> 00:11:52,050
487
+ ู‡ุชุณุงูˆูŠ ุงู„ ุจูŠ ุจุงุฑ plus or minus ุฒุฏ c ุนู„ู‰ ุงุชู†ูŠู† ููŠ
488
+
489
+ 123
490
+ 00:11:52,050 --> 00:12:02,530
491
+ sx ุนู„ู‰ ุฌุฒุฑ n ุงู„ ุจูŠ ุจุงุฑ ุงู„ู„ูŠ ู‡ูŠ ุงุฑุจุนุฉ point o o
492
+
493
+ 124
494
+ 00:12:02,530 --> 00:12:07,230
495
+ ุณุจุนุฉ ูˆ ุณุจุนูŠู† ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู†ุง ุจู†ุฒุฏ ุงู„ point ุงุฑุจุนุฉ
496
+
497
+ 125
498
+ 00:12:07,230 --> 00:12:15,010
499
+ ุชุณุนุฉ ุฎู…ุณุฉุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุจุงู„
500
+
501
+ 126
502
+ 00:12:15,010 --> 00:12:20,150
503
+ standard deviation ุงู„ู„ูŠ ู‡ูˆ point ูˆุงุญุฏ ุงุฑุจุนุฉ ุนู„ู‰
504
+
505
+ 127
506
+ 00:12:20,150 --> 00:12:25,910
507
+ ุฌุฒุฑ ุงู„ู…ูŠุฉ ุตุญ ุจูŠุตูŠุฑ
508
+
509
+ 128
510
+ 00:12:25,910 --> 00:12:32,470
511
+ ุงุฑุจุนุฉ point ุงูˆ ุงูˆ ุณุจุนุฉ ุณุจุนุฉ ุฒุงุฏุฉ ูˆู†ุงู‚ุต ุงุญุณุจูˆุง ู„ูŠู‡ุง
512
+
513
+ 129
514
+ 00:12:36,610 --> 00:12:39,610
515
+ ุฒูŠ ุงู„ุงูˆู„ู‰ ู†ู‚ุต point OO36
516
+
517
+ 130
518
+ 00:12:59,360 --> 00:13:04,620
519
+ ู…ุงุดูŠ ุนู†ุฏูƒ plus ูŠุนู†ูŠ ู‡ุถูŠู plus or minus ู‡ุฐู‡ ู„ุงุญุธูˆุง
520
+
521
+ 131
522
+ 00:13:04,620 --> 00:13:09,500
523
+ ุงู†ู‡ ุงู„ ุงู„ ุงู„ main ุจูŠูƒูˆู†
524
+
525
+ 132
526
+ 00:13:09,500 --> 00:13:13,600
527
+ ุงู„ distribution ุจุชุงุนู‡ ุงู‚ุฑุจ ู…ุญุตูˆุฑ ุงูƒุชุฑ ู…ู† ุงู„ sample
528
+
529
+ 133
530
+ 00:13:13,600 --> 00:13:19,240
531
+ ูƒู„ู‡ุง ุงู„ main ุงู„ distribution of the main ุจูŠูƒูˆู†
532
+
533
+ 134
534
+ 00:13:19,240 --> 00:13:23,300
535
+ ู…ุญุตูˆุฑ ุงูƒุชุฑ ู‡ุฐู‡ ุงู„ุนูŠู†ุฉDistribution of vitamins
536
+
537
+ 135
538
+ 00:13:23,300 --> 00:13:33,680
539
+ ุญูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ู„ุฃู†
540
+
541
+ 136
542
+ 00:13:33,680 --> 00:13:38,640
543
+ ู‡ูˆ main ูุงู„ main ุจูŠูƒูˆู† ุฃู‚ุฑุจ ุจุงู„ู…ุชูˆุณุท ู…ู† ุฃูŠ ู†ู‚ุทุฉ
544
+
545
+ 137
546
+ 00:13:38,640 --> 00:13:48,620
547
+ ุฃุฎุฑู‰ ููŠ ุงู„ stamp ุจุงู„ู†ูุณู‡ุง ู„ ุงู„ true value ุทูŠุจ
548
+
549
+ 138
550
+ 00:13:48,620 --> 00:13:50,140
551
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ู†ูƒู…ู„
552
+
553
+ 139
554
+ 00:13:56,750 --> 00:14:00,910
555
+ confidence intervals for small samples small
556
+
557
+ 140
558
+ 00:14:00,910 --> 00:14:05,510
559
+ sample ุงุญู†ุง ุจู†ุนุชุจุฑ ุงุฐุง ุงู„ sample ูƒุงู† ุนุฏุฏ ุงู„ู‚ุฑุงุนุงุช
560
+
561
+ 141
562
+ 00:14:05,510 --> 00:14:09,830
563
+ ุงูƒุชุฑ ู…ู† ุชู„ุงุชูŠู† ุจุนุชุจุฑู‡ุง large ุงุฐุง ุงู‚ู„ ู…ู† ุชู„ุงุชูŠู†
564
+
565
+ 142
566
+ 00:14:09,830 --> 00:14:17,530
567
+ ุจุนุชุจุฑู‡ุง small ู‡ุณุชุฎุฏู… variable ุจุณู…ูŠู‡ T ุจุณู…ูŠู‡ T
568
+
569
+ 143
570
+ 00:14:17,530 --> 00:14:22,710
571
+ distribution ู‡ูˆ ู†ู…ุฑุฉ distribution T ุจุณุชูˆู‰ X bar
572
+
573
+ 144
574
+ 00:14:22,710 --> 00:14:34,440
575
+ minus Muุนู„ู‰ SX ุนู„ู‰ ุฌุฒุฑ N ุทุจุนุง
576
+
577
+ 145
578
+ 00:14:34,440 --> 00:14:43,980
579
+ ุงู„ X bar ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุนุฏุฏู‡ุง ุตุญุŸ ู…ุนู†ุงุชู‡ ุงู„ X
580
+
581
+ 146
582
+ 00:14:43,980 --> 00:14:53,020
583
+ bar is a function of
584
+
585
+ 147
586
+ 00:14:53,020 --> 00:14:55,140
587
+ N ุตุญุŸ
588
+
589
+ 148
590
+ 00:14:57,260 --> 00:15:00,660
591
+ ู„ู„ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุนุฏุฏู‡ุง ุงูƒูŠุฏ is a function of
592
+
593
+ 149
594
+ 00:15:00,660 --> 00:15:04,220
595
+ n ูˆู†ูุณ
596
+
597
+ 150
598
+ 00:15:04,220 --> 00:15:11,140
599
+ ุงู„ standard deviation ุงู„ Sx ุจูŠุณุชูˆู‰
600
+
601
+ 151
602
+ 00:15:11,140 --> 00:15:23,140
603
+ ู…ุฌู…ูˆุนุฉ square root ู„ู„ deviation square ุนู„ู‰ n ู†ุงู‚ุต
604
+
605
+ 152
606
+ 00:15:23,140 --> 00:15:35,180
607
+ ูˆุงุญุฏุจุฑุถู‡ ุงู„ SX ุจูŠุนุชู…ุฏ ุนู„ู‰ N ูƒู„ ู…ุง N ูƒุจุฑุช ูƒู„ ู…ุง
608
+
609
+ 153
610
+ 00:15:35,180 --> 00:15:38,480
611
+ ุงู‚ุชุฑุจุช ู…ู† ุงู„ population ูƒู„ ู…ุง ุงู‚ุชุฑุจุช ู„ู„ normal
612
+
613
+ 154
614
+ 00:15:38,480 --> 00:15:47,680
615
+ distribution ู„ุฃู† ู‡ูˆ ุนุงู…ู„ cares ุทุจุนุง ู‡ุฐุง ุจูŠุณู…ูŠ ุงู„
616
+
617
+ 155
618
+ 00:15:47,680 --> 00:15:50,280
619
+ new ู‡ูŠ degrees of freedom
620
+
621
+ 156
622
+ 00:15:55,170 --> 00:15:59,550
623
+ ู† ู…ู†ุงุณุจุฉ ูˆุงุญุฏ ู…ุงู†ุนุชู‡ ู„ู…ุง ุงุดูˆู new ูƒุงู†ู‡ุง ู† ู„ุงู† new
624
+
625
+ 157
626
+ 00:15:59,550 --> 00:16:07,170
627
+ ุณูˆุงุก ู† ู†ุงู‚ุต ูˆุงุญุฏ ูŠุนู†ูŠ ู„ู…ุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุชูŠู† ู‡ุนู†ุฏูŠ
628
+
629
+ 158
630
+ 00:16:07,170 --> 00:16:11,410
631
+ ุญู‚ ุงู„ูƒูŠุฑูˆู distribution ู„ู…ุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุชูŠู† ู‡ุนู†ุฏูŠ
632
+
633
+ 159
634
+ 00:16:11,410 --> 00:16:18,290
635
+ ู…ุซู„ุง ุณุช ู‚ุฑุงุกุงุช ู‡ุนู†ุฏูŠ ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุงู„ุขู† ู„ู…ุง
636
+
637
+ 160
638
+ 00:16:18,290 --> 00:16:20,450
639
+ ุฃุตุจุญ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ูƒุจูŠุฑ ุจู‚ุชุฑุจ ู…ู† ุงู„ normal
640
+
641
+ 161
642
+ 00:16:20,450 --> 00:16:25,260
643
+ distributionููƒู„ ู…ุง ุฒุงุฏ ุงู„ degrees of freedom ู„ู„ุนุฏุฏ
644
+
645
+ 162
646
+ 00:16:25,260 --> 00:16:29,300
647
+ ุงู„ู‚ุฑุงุกุงุช ูƒู„ ู…ุง ุงู‚ุชุฑุจ ู…ู† ุงู„ normal distribution ู‡ุงูŠ
648
+
649
+ 163
650
+ 00:16:29,300 --> 00:16:36,580
651
+ ููƒุฑุฉ ุงู„ T distribution ุนุงุฏุฉ
652
+
653
+ 164
654
+ 00:16:36,580 --> 00:16:40,760
655
+ for T .. for N ุฃูƒุจุฑ ู…ู† ุชู„ุงุชูŠู† ุงู„ T distribution ูˆ
656
+
657
+ 165
658
+ 00:16:40,760 --> 00:16:45,540
659
+ normal distribution ุจูŠูƒูˆู†ูˆุง identical ุงู„ normal
660
+
661
+ 166
662
+ 00:16:45,540 --> 00:16:48,000
663
+ distribution ูŠุนู†ูŠ ุจุดูƒู„ ุนุงู… ุจูŠูุชุฑุถ ุงู†ู‡ ุนู†ุฏู‡
664
+
665
+ 167
666
+ 00:16:48,000 --> 00:16:50,560
667
+ infinite number ุงูˆ ุนุฏุฏ ูƒุจูŠุฑ ุฌุฏุง ู…ู† ุงู„ู‚ุฑุงุกุงุช
668
+
669
+ 168
670
+ 00:16:54,420 --> 00:16:58,400
671
+ ุจูŠุณู…ูˆ ู‡ุฐุง ุงู„ .. ุจูŠุณู…ูˆ ุงู„ students T distribution
672
+
673
+ 169
674
+ 00:16:58,400 --> 00:17:08,180
675
+ ุงู„ุขู† ููŠ ุทุฑูŠู‚ุฉ ุญุณุงุจ ุงู„ distribution ู„ู…ุง ุงุญูƒูŠ ุงู„ T
676
+
677
+ 170
678
+ 00:17:08,180 --> 00:17:14,760
679
+ alpha T alpha ุจูŠุญุณุจุด
680
+
681
+ 171
682
+ 00:17:14,760 --> 00:17:16,940
683
+ ุงู„ area ู…ุซู„ุง ู„ูˆ ุงุญู†ุง .. ุงุญู†ุง confidence level ู„ูˆ
684
+
685
+ 172
686
+ 00:17:16,940 --> 00:17:20,760
687
+ ูƒู†ุง ุจุญูƒูŠ ู…ุซู„ุง confidence ุฎู…ุณูŠุฉ ููŠ ุงู„ู…ูŠุฉ ูƒู†ุง ู†ุงุฎุฏ
688
+
689
+ 173
690
+ 00:17:20,760 --> 00:17:24,460
691
+ ุฎู…ุณูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู†ู‚ุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู†ูˆ ู†ุงุฎุฏ ุงู„ area in
692
+
693
+ 174
694
+ 00:17:24,460 --> 00:17:30,280
695
+ between ู„ุฃ ู„ู…ุง ุงุญูƒูŠ alpha if I'm one sided ุจุงุฎุฏ ุงู„
696
+
697
+ 175
698
+ 00:17:30,280 --> 00:17:35,520
699
+ reject area ู‡ูˆ ุจุงุฎุฏ ุงู„ reject area ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ
700
+
701
+ 176
702
+ 00:17:35,520 --> 00:17:45,140
703
+ ู‡ุฐู‡ ุทุจุนุง ุงู„ .. ุงู„ .. ุงู„ area ู‡ุฐู‡ is a function of
704
+
705
+ 177
706
+ 00:17:45,140 --> 00:17:48,560
707
+ ุงู„
708
+
709
+ 178
710
+ 00:17:48,560 --> 00:17:53,040
711
+ degree of freedom ุนุฏุฏ ุงู„ู‚ุฑุงุฑุงุช ู…ุงุดูŠูุงู†ุง ุจุชุงุนูŠ ู‡ู†ุง
712
+
713
+ 179
714
+ 00:17:53,040 --> 00:18:02,860
715
+ ู‡ูƒูˆู† ุนู†ุฏู‰ T Alpha Area ุจูŠู† Alpha ูˆ T ุทูŠุจ
716
+
717
+ 180
718
+ 00:18:02,860 --> 00:18:06,920
719
+ ู„ุฅู† ูุงู†ุฏูŠ one sided confidence interval ูˆุงู†ุฏูŠ two
720
+
721
+ 181
722
+ 00:18:06,920 --> 00:18:09,640
723
+ sided confidence interval ู‡ุฐุง ุงูŠู‡ one sided
724
+
725
+ 182
726
+ 00:18:09,640 --> 00:18:12,760
727
+ confidence interval ูŠุนู†ูŠ ูƒู„ ุงู„ู‚ูŠุงู… ุงู„ุฃูƒุจุฑ ู…ู† T
728
+
729
+ 183
730
+ 00:18:12,760 --> 00:18:20,620
731
+ Alpha ุงูŠุด ู…ุงู„ู‡ุง ู…ู‚ุจูˆู„ุฉ ูˆู„ุง ู…ุฑููˆุถุฉ ู…ุฑููˆุถุฉ ุงู„ area
732
+
733
+ 184
734
+ 00:18:20,620 --> 00:18:26,750
735
+ ู‡ุฐุง ุงูŠุด ุจุชู…ุซู„ุงู„ุงุญุชู…ุงู„ ุชุงุนุฉ ู…ุซู„ุง ูƒู„ ู‚ูŠู…ุฉ ู‚ูŠู…ุชู‡ุง
736
+
737
+ 185
738
+ 00:18:26,750 --> 00:18:32,350
739
+ ุงูƒุชุฑ ู…ู† T Alpha ู…ุซู„ุง ุจุชุจุชุฏ 5% ูŠุนู†ูŠ 5% ู…ู† ุงู„ู‚ุฑุงุกุงุช
740
+
741
+ 186
742
+ 00:18:32,350 --> 00:18:38,930
743
+ ู‡ูƒูˆู† out of range ุงู„ confidence ุงูƒู… ู‡ูƒูˆู† 95% ูˆุงุญุฏ
744
+
745
+ 187
746
+ 00:18:38,930 --> 00:18:44,710
747
+ ู†ู‚ุต ุงู„ู…ูŠุฉ ุฎู…ุณ ุงูŠู‡ ููŠ two
748
+
749
+ 188
750
+ 00:18:44,710 --> 00:18:48,510
751
+ sided ู‡ู†ุง
752
+
753
+ 189
754
+ 00:18:48,510 --> 00:18:49,850
755
+ ุงู„ two sided confidence
756
+
757
+ 190
758
+ 00:18:56,950 --> 00:19:06,110
759
+ ุนู†ุฏูŠ ุงู„ two-sided confidence ุนู†ุฏูŠ
760
+
761
+ 191
762
+ 00:19:06,110 --> 00:19:13,110
763
+ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆู‡ุงุฏูŠ minus T ุงู„ู
764
+
765
+ 192
766
+ 00:19:13,110 --> 00:19:20,230
767
+ ุนู„ู‰ ุงุชู†ูŠู† ู‡ุงุฏูŠ
768
+
769
+ 193
770
+ 00:19:20,230 --> 00:19:24,470
771
+ ุงู„ confidence ูŠุนู†ูŠ
772
+
773
+ 194
774
+ 00:19:24,470 --> 00:19:40,370
775
+ ุนู†ุฏูŠsignificance ุงูˆ rejection ุงุฐุง
776
+
777
+ 195
778
+ 00:19:40,370 --> 00:19:45,370
779
+ ุญุทูŠุช confidence interval ุจูŠู† T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ T
780
+
781
+ 196
782
+ 00:19:45,370 --> 00:19:47,810
783
+ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† minus T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ T ุงู„ู ุนู„ู‰
784
+
785
+ 197
786
+ 00:19:47,810 --> 00:19:51,090
787
+ ุงุชู†ูŠู† ู‡ูŠูƒูˆู† ุงู„ mean
788
+
789
+ 198
790
+ 00:19:53,940 --> 00:20:00,820
791
+ ุงู„ู€ True Value ุชุชุฑุงูˆุญ ุจูŠู† ู‚ูŠู…ุฉ ุฏู†ูŠุง ูˆ ู‚ูŠู…ุฉ ุนุธู…ุฉ
792
+
793
+ 199
794
+ 00:20:00,820 --> 00:20:06,540
795
+ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ู€ Mu ุจุณุงูˆูŠ
796
+
797
+ 200
798
+ 00:20:06,540 --> 00:20:19,720
799
+ X bar plus or minus T Alpha ุนู„ู‰ 2 ู‡ูˆ ุงู„ู€ Nu ููŠ SX
800
+
801
+ 201
802
+ 00:20:19,720 --> 00:20:22,240
803
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ุชุฑุจูŠุฉ
804
+
805
+ 202
806
+ 00:20:29,980 --> 00:20:38,140
807
+ ู„ู„ุงู† ุงุฐุง ู…ุนุงูƒูŠ ู‡ู†ุง ููŠ ุนู†ุฏูŠ right
808
+
809
+ 203
810
+ 00:20:38,140 --> 00:20:42,660
811
+ -handed rejection ูŠุนู†ูŠ ูƒู„ ุงู„ู‚ูŠุงู… above this value
812
+
813
+ 204
814
+ 00:20:42,660 --> 00:20:47,600
815
+ ู…ุฑููˆุถุฉ ุงู„ุฃู‚ู„ ู…ู† ู‡ุฏูŠุงุด ู…ู‚ุจูˆู„ ููŠ left-handed
816
+
817
+ 205
818
+ 00:20:47,600 --> 00:20:52,040
819
+ rejected ู…ู‚ุจูˆู„
820
+
821
+ 206
822
+ 00:20:53,200 --> 00:20:57,900
823
+ ููŠ confidence interval ูŠุนู†ูŠ above this value ู…ุฑููˆุถ
824
+
825
+ 207
826
+ 00:20:57,900 --> 00:21:08,420
827
+ ูˆ ุฃู‚ู„ this value ู…ุฑููˆุถ in between ู…ู‚ุจูˆู„ ุงู„
828
+
829
+ 208
830
+ 00:21:08,420 --> 00:21:12,920
831
+ confidence interval ุงู„ู„ูŠ ููŠ ุงู„ู…ู†ุตุฉ ุฏูŠ defines the
832
+
833
+ 209
834
+ 00:21:12,920 --> 00:21:16,920
835
+ precision uncertainty in the value of the mean
836
+
837
+ 210
838
+ 00:21:16,920 --> 00:21:23,060
839
+ ู†ุณุจุฉ ุงู„ุฎุทูˆุฉ ููŠ ุฅูŠุดุŸ ููŠ ุงู„ .. ููŠ ุงู„ mean valueุงู„ู€
840
+
841
+ 211
842
+ 00:21:23,060 --> 00:21:25,520
843
+ Precision answered ููŠ ุงู„ู€ mean value PX ู…ูˆ ุงู„ุทุงูˆู„ุฉ
844
+
845
+ 212
846
+ 00:21:25,520 --> 00:21:29,360
847
+ ู„ู„ุฃู‚ุตู‰ ุงู„ู€ T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ ุงู„ U ุจ S X ุนู„ู‰ ุฌุฒุฑ
848
+
849
+ 213
850
+ 00:21:29,360 --> 00:21:34,960
851
+ ุชุฑุจูŠุนูŠ ู„ N ูˆ ุงู„ T ู„ูŠู‡ X bar minus Mu ุนู„ู‰ S X ุงู„ุฌุฒุฑ
852
+
853
+ 214
854
+ 00:21:34,960 --> 00:21:39,560
855
+ ุชุฑุจูŠุนูŠ ู„ู„ N ู†ุดูˆู ู…ุซุงู„
856
+
857
+ 215
858
+ 00:21:49,380 --> 00:21:53,340
859
+ 12 values in a sample have an average of x bar
860
+
861
+ 216
862
+ 00:21:53,340 --> 00:22:00,280
863
+ ุงู„ุฃู† ุนู†ุฏูŠ ุฃูƒู… 12 ุงู„ุฃู† ู…ุนู†ุงุชู‡
864
+
865
+ 217
866
+ 00:22:00,280 --> 00:22:09,940
867
+ degrees of freedom ุฃูƒู… ุชุณุงูˆูŠ ุงู„ุฃุชู†ุงุดุฑ
868
+
869
+ 218
870
+ 00:22:09,940 --> 00:22:16,560
871
+ ูƒุฑู‡ ุฃูƒุงู†ู‡ู… average value x bar ูˆูŠู„ู‡ู…
872
+
873
+ 219
874
+ 00:22:16,560 --> 00:22:18,840
875
+ standard deviation Sx
876
+
877
+ 220
878
+ 00:22:21,490 --> 00:22:25,850
879
+ what is the ninety-five percent confidence
880
+
881
+ 221
882
+ 00:22:25,850 --> 00:22:36,070
883
+ interval c 95% for the true mean value ู†ุฑุฌุน ู„ู‡ุฐู‡
884
+
885
+ 222
886
+ 00:22:36,070 --> 00:22:40,350
887
+ ู„ุฃู†
888
+
889
+ 223
890
+ 00:22:40,350 --> 00:22:46,070
891
+ ุงู„ุนุฏุฏ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution ู„ุฃู†
892
+
893
+ 224
894
+ 00:22:46,070 --> 00:22:49,370
895
+ ุงู„ุนุฏุฏ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution
896
+
897
+ 225
898
+ 00:22:52,970 --> 00:23:00,070
899
+ ุงู„ู€ Mu ุฌุงูŠุฉ ููŠ ุงู„ range ู‡ุฐุง ูŠุนู†ูŠ ุจู„ุฒู… ู†ุญุณุจ ุงู„ู€ Mu
900
+
901
+ 226
902
+ 00:23:00,070 --> 00:23:14,230
903
+ ู‡ุชูƒูˆู† ุณุงูˆุจ ู„ X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต S T Alpha ุนู„ู‰ 2 ูˆ
904
+
905
+ 227
906
+ 00:23:14,230 --> 00:23:22,720
907
+ Nu ููŠ S X ุนู„ู‰ ุฌุฒุฑ NูŠุนู†ูŠ ุจุงู„ุธุจุท ุงู† ุงุญุณุจ ุจุฏูŠ ุงุญุณุจ
908
+
909
+ 228
910
+ 00:23:22,720 --> 00:23:28,940
911
+ ุงู†ุง ุงู„ T ุงู„ Alpha ุนู†ุฏู‡ุง ูƒู…ุŸ ุนู†ุฏู‡ุง ุฏูŠ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
912
+
913
+ 229
914
+ 00:23:28,940 --> 00:23:35,860
915
+ ,ู…ุนู†ุงุชู‡ ุงู„ Alpha ุฃูƒู… ุชุณุงูˆูŠ ู…ูŠุฉ ู†ู‚ุต ุฎู…ุณ ู†ุณูŠุงู† ุฎู…ุณุฉ
916
+
917
+ 230
918
+ 00:23:35,860 --> 00:23:41,240
919
+ ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ุชุณุงูˆูŠ point O ุฎู…ุณุฉ ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ
920
+
921
+ 231
922
+ 00:23:41,240 --> 00:23:47,220
923
+ ุจุฏูŠ ุงุญุณุจ T ุงู„ู„ูŠ ู‡ูŠ point O ุงุชู†ูŠู† ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู
924
+
925
+ 232
926
+ 00:23:47,220 --> 00:23:56,400
927
+ ุนู„ู‰ ุงุชู†ูŠู† ุงู„ new ุฃูƒู… ุนู†ุฏูŠุงุญุฏุงุด ูƒูŠู ุฃุญุณุจู‡ุงุŸ
928
+
929
+ 233
930
+ 00:23:56,400 --> 00:24:00,960
931
+ ู‡ุงุฑูˆุญ ุนู„ู‰ table ..
932
+
933
+ 234
934
+ 00:24:00,960 --> 00:24:08,680
935
+ ู‡ุงุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ .. ู‡ุงุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ ููŠ
936
+
937
+ 235
938
+ 00:24:08,680 --> 00:24:09,200
939
+ ุงู„ูƒุชุงุจ
940
+
941
+ 236
942
+ 00:24:29,240 --> 00:24:31,760
943
+ ุฃูˆู„ุด ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ new account ุฏูŠ 11 ูุงู†ุง ุจุชู‚ุนุฏ
944
+
945
+ 237
946
+ 00:24:31,760 --> 00:24:40,580
947
+ ุนู„ู‰ ุงู„ุตู ู‡ุฐุง ุงู„ area ุนู†ุฏูŠ ุฃูƒู… ุนู†ุฏ ุงู„ T ุทุงู„ุน ู‡ู†ุง
948
+
949
+ 238
950
+ 00:24:40,580 --> 00:24:47,960
951
+ ูŠุนู†ูŠ ุงู„ T ุงู„ point O 2 5 ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ T ุงู„ู„ูŠ ู‡ูŠ
952
+
953
+ 239
954
+ 00:24:47,960 --> 00:24:53,680
955
+ ู‡ุชูƒูˆู† 2 point 2 O 1 ุงุชู†ูŠู†
956
+
957
+ 240
958
+ 00:24:53,680 --> 00:24:55,940
959
+ ู‡ุฐู‡
960
+
961
+ 241
962
+ 00:25:06,540 --> 00:25:11,680
963
+ ุชูƒูˆู† ุณูˆุงุก x bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† point
964
+
965
+ 242
966
+ 00:25:11,680 --> 00:25:24,860
967
+ ุงุชู†ูŠู† ุงูˆ ูˆุงุญุฏ ููŠ Sx ุนู„ู‰ ุฌุฒุฑ ุงู„ุงุชู†ุงุด ูุงู†ุง
968
+
969
+ 243
970
+ 00:25:24,860 --> 00:25:28,350
971
+ ุจุชู‚ูˆู„ ุงู†ูŠ ู‡ูƒูˆู† ููŠ ุงู„ range ู‡ุฐุงุทุจุนุง ู‡ู… ู…ุด ู…ุนุงู‚ูŠู†
972
+
973
+ 244
974
+ 00:25:28,350 --> 00:25:35,030
975
+ ุงู„ู‚ุฑุงุกุงุช ุนุดุงู† ุงุญุณุจ ุงู„ Sx ูˆ ุงู„ X bar ูุจุชุจุนุฏ ู†ุธุฑู‰
976
+
977
+ 245
978
+ 00:25:35,030 --> 00:25:41,770
979
+ ู‚ูŠู…ุฉ ุงู„ X bar ูˆ ุงู„ Sx ู‡ุชูƒูˆู† ุงู„ ู…ูŠูˆ ููŠ ุงู„ range ู‡ุฐุง
980
+
981
+ 246
982
+ 00:25:41,770 --> 00:25:51,210
983
+ ุงู„ู„ูŠ
984
+
985
+ 247
986
+ 00:25:51,210 --> 00:25:55,730
987
+ ุฅูŠุดุŸ
988
+
989
+ 248
990
+ 00:26:08,880 --> 00:26:12,500
991
+ ุฅุฐุง ูƒุงู†ุช ุงู„ sample ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ููŠ ุงู„ุชุฌุงุฑุจ ุจุชุงุนุชูƒ
992
+
993
+ 249
994
+ 00:26:12,500 --> 00:26:17,320
995
+ ุฃูƒุจุฑ ุฃูˆูŠ ุณูˆู‰ ุชู„ุงุชูŠู† ุชุนุชุจุฑ large sample
996
+
997
+ 250
998
+ 00:26:18,600 --> 00:26:23,820
999
+ ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† small sample ููŠ ุญุงู„ุฉ ุฃู‚ู„ ู…ู†
1000
+
1001
+ 251
1002
+ 00:26:23,820 --> 00:26:27,400
1003
+ ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution ุฒูŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ T
1004
+
1005
+ 252
1006
+ 00:26:27,400 --> 00:26:34,100
1007
+ distribution ููŠ ุญุงู„ุฉ ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„
1008
+
1009
+ 253
1010
+ 00:26:34,100 --> 00:26:39,280
1011
+ Z distribution ุงู„ Z distribution ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู†ู‡ุง
1012
+
1013
+ 254
1014
+ 00:26:39,280 --> 00:26:44,740
1015
+ ุงู„ Z distribution ู‡ูˆ ุชู‚ุจู„ ุงุชู†ูŠู†ูˆ ุงู„ C distribution
1016
+
1017
+ 255
1018
+ 00:26:44,740 --> 00:26:48,660
1019
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ T distribution ุงู„ู„ูŠ ู‡ูˆ ุงู„ table ุฎู…ุณุฉ ู๏ฟฝ๏ฟฝ
1020
+
1021
+ 256
1022
+ 00:26:48,660 --> 00:26:50,380
1023
+ ุงู„ C distribution ุจูŠุทูŠู„ูƒ ุงู„ area ุจุชุงุนุฉ ุงู„
1024
+
1025
+ 257
1026
+ 00:26:50,380 --> 00:26:54,620
1027
+ confidence ููŠ ุงู„ T distribution ุจูŠุทูŠู„ูƒ ุงู„ area
1028
+
1029
+ 258
1030
+ 00:26:54,620 --> 00:26:58,400
1031
+ ุจุชุงุนุฉ ุงู„ significance ุงูˆ ุงู„ rejection ู‡ุฐู‡ ุงู„ูุงุฑู‚ุฉ
1032
+
1033
+ 259
1034
+ 00:26:58,400 --> 00:27:10,480
1035
+ ุญุฏ ู…ุซุงู„ ู‡ู†ู‚ุฑุฃ ุงู„ู…ุซู„ุฉ ู…ู„ุฎุตุฉ assemble
1036
+
1037
+ 260
1038
+ 00:27:10,480 --> 00:27:12,220
1039
+ postal scale
1040
+
1041
+ 261
1042
+ 00:27:15,800 --> 00:27:20,800
1043
+ ู…ูŠุฒุงู† ุงุณุชุฎุฏู… ููŠ ู…ูƒุงุชุจ ุงู„ุจุฑูŠุฏ ู…ูŠุฒุงู† ุงุณุชุฎุฏู… ููŠ ู…ูƒุงุชุจ
1044
+
1045
+ 262
1046
+ 00:27:20,800 --> 00:27:25,680
1047
+ ุงู„ุจุฑูŠุฏ of the equal arm balance ูŠุนู†ูŠ ุฒูŠ ุงู„ู…ูŠุฒุงู†
1048
+
1049
+ 263
1050
+ 00:27:25,680 --> 00:27:29,080
1051
+ ุงู„ุชู‚ู„ูŠุฏูŠ ุงู„ุนุงุฏู‰ ุจุชุญุท ูˆุฒู† ู‡ู†ุง ูˆ ูˆุฒู† ุนู„ู‰ ุฌุจุงู„ู‡ ุจุชุญุท
1052
+
1053
+ 264
1054
+ 00:27:29,080 --> 00:27:32,840
1055
+ ุฃูˆุฒุงู† with
1056
+
1057
+ 265
1058
+ 00:27:32,840 --> 00:27:40,700
1059
+ ุงู„ู…ูˆุงุฒูŠู† ุนู†ุฏู‡ ู†ุต ูˆูˆุงุญุฏ ูˆุงุชู†ูŠู† ูˆุงุฑุจุนุฉ ูˆุงู†ุตุฉ ู‡ูŠ
1060
+
1061
+ 266
1062
+ 00:27:40,700 --> 00:27:45,630
1063
+ ุงู„ุฃูˆุฒุงู† ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู‡machined brass weights
1064
+
1065
+ 267
1066
+ 00:27:45,630 --> 00:27:52,470
1067
+ ู…ุตุทู„ุนูŠู† ู…ู† ุงู„ุจุฑุงุณ ุงู„ู…ุงุฏุฉ ู…ู† ุงู„ุจุฑุงุณ for a quality
1068
+
1069
+ 268
1070
+ 00:27:52,470 --> 00:27:57,830
1071
+ check ุจูŠุชุฃูƒุฏูˆุง ุจูŠุนู…ู„ ูุญุต ุฌูˆุฏุฉ the manufacturer
1072
+
1073
+ 269
1074
+ 00:27:57,830 --> 00:28:04,270
1075
+ ุงู„ู…ุตู†ุน ู„ู„ู…ูˆุงุฒูŠู†ุฉ ุฏูŠ randomly selects a sample of
1076
+
1077
+ 270
1078
+ 00:28:04,270 --> 00:28:10,190
1079
+ fourteen ุฃุฎุฏ ุนูŠู†ุฉ ุงุฑุจุนุชุงุดุฑ ูƒุชู„ุฉ ู…ู† ุงู„ู„ูŠ ูˆุฒู†ู‡ุง ูˆุงุญุฏ
1080
+
1081
+ 271
1082
+ 00:28:10,190 --> 00:28:15,020
1083
+ ู‚ูˆุฒุฉูˆุงุฎุฏ .. ู…ุงุฎุฏุด .. ุงุฎุฏ ุจุณ ุงู„ูˆุงุญุฏ ุงูˆุฒ ู‡ูˆ ุจุตู†ุน
1084
+
1085
+ 272
1086
+ 00:28:15,020 --> 00:28:21,180
1087
+ ู…ูˆุงุฒูŠู† ุงูƒูŠุฏ ุจุตู†ุน ุงู„ูƒุชู„ ู‡ุฐู‡ ูู‡ูˆ ุงุฎุฏ ุงุฑุจุนุชุงุดุฑ ุนูŠู†ุฉ
1088
+
1089
+ 273
1090
+ 00:28:21,180 --> 00:28:26,860
1091
+ ุงู„ูƒุชู„ู‡ุง .. ู‚ูŠู…ุฉ ุงู„ูƒุชู„ ุจุชุงุนุชู‡ุง ูˆุงุญุฏ ุงูˆุฒ and weighs
1092
+
1093
+ 274
1094
+ 00:28:26,860 --> 00:28:30,540
1095
+ them on a precision scale ุงุณุชุฎุฏู… ู…ูŠุฒุงู† ุญุณุงุณ ูˆุตุงุฑ
1096
+
1097
+ 275
1098
+ 00:28:30,540 --> 00:28:37,740
1099
+ ูŠูˆุฒู†ู‡ู… ูŠุนู†ูŠ ุงุฎุฏ ุงุฑุจุนุชุงุดุฑ ู‚ุทุนุฉ ูˆูˆุฒู†ู‡ู… ูƒู„ ู‚ุทุนุฉ ุนู„ู‰
1100
+
1101
+ 276
1102
+ 00:28:37,740 --> 00:28:49,790
1103
+ ุญุฏุฉ ุนู„ู‰ ู…ูŠุฒุงู† ุญุณุงุณุงู„ู†ุชุงุฌ ูƒุงู† ุนู†ุฏู‡ ู„ู…ุง ูˆุฒู†ู‡ ุนุฒุงู†
1104
+
1105
+ 277
1106
+ 00:28:49,790 --> 00:28:56,250
1107
+ ุญุณุงุณ ุฎู†ูŠุชู‡ ุงู„ู‚ุฑุงุฉ ุนู„ู‰ ุฌุงู†ุจ ุนู†ุฏูŠ one point oh
1108
+
1109
+ 278
1110
+ 00:28:56,250 --> 00:29:08,050
1111
+ ุชู…ุงู†ูŠุฉ one point oh ูˆุงุญุฏ point ุชุณุนุฉ ุณุจุนุฉ ูˆุงุญุฏ
1112
+
1113
+ 279
1114
+ 00:29:08,050 --> 00:29:09,110
1115
+ point oh ุชู„ุงุชุฉ
1116
+
1117
+ 280
1118
+ 00:29:11,930 --> 00:29:21,430
1119
+ ุจู†ุช ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ุจู†ุช ุง ุง ุจู†ุช ุชุณุนุฉ ุณุชุฉ ุจู†ุช ุชุณุนุฉ
1120
+
1121
+ 281
1122
+ 00:29:21,430 --> 00:29:30,310
1123
+ ุชุณุนุฉ ุจู†ุช ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ุจู†ุช ุง ุฎู…ุณุฉ ูˆุงุญุฏ ุจู†ุช ุง
1124
+
1125
+ 282
1126
+ 00:29:30,310 --> 00:29:34,030
1127
+ ูˆุงุญุฏ ูˆุงุญุฏ ุจู†ุช ุง
1128
+
1129
+ 283
1130
+ 00:29:37,210 --> 00:29:44,410
1131
+ ุงุฑุจุนุฉ ูˆุงุญุฏ point ุงูˆ ุชู…ุงู†ูŠุฉ ู‡ู†ุง
1132
+
1133
+ 284
1134
+ 00:29:44,410 --> 00:29:48,330
1135
+ ู…ุด
1136
+
1137
+ 285
1138
+ 00:29:48,330 --> 00:29:53,530
1139
+ ู…ุดูƒู„ุฉ ุงูŠ point ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ
1140
+
1141
+ 286
1142
+ 00:29:53,530 --> 00:29:56,750
1143
+ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุนุดุฑ ุงุญุฏุงุดุฑ ุงุชู†ุงุดุฑ ุงุชุงุดุฑ
1144
+
1145
+ 287
1146
+ 00:29:56,750 --> 00:30:01,290
1147
+ ุงุฑุจุนุชุงุดุฑ ุงู„ู‚ุฑุงุกุฉ based
1148
+
1149
+ 288
1150
+ 00:30:01,290 --> 00:30:04,950
1151
+ on this sum ุจู†ุงุก ุนู„ู‰ ู‡ุฐู‡ ุงู„ุนูŠู†ุงุช and the
1152
+
1153
+ 289
1154
+ 00:30:04,950 --> 00:30:09,270
1155
+ assumptionthat the parent population is normal
1156
+
1157
+ 290
1158
+ 00:30:09,270 --> 00:30:15,090
1159
+ ูุฑุถุช ุฃู†ู‡ ู„ูˆ ุฃุฎุฏุช ูƒู„ ุงู„ูƒุชุฉ ุงู„ูˆุฒู†ู‡ุง ูˆุงุญุฏ ุฃูˆุฒ ุงู„
1160
+
1161
+ 291
1162
+ 00:30:15,090 --> 00:30:20,350
1163
+ distribution ู‡ูŠูƒูˆู† ุทุจูŠุนูŠ ุชูˆุฒูŠุน ุทุจูŠุนูŠ what is the
1164
+
1165
+ 292
1166
+ 00:30:20,350 --> 00:30:23,290
1167
+ ninety-five percent confidence interval for the
1168
+
1169
+ 293
1170
+ 00:30:23,290 --> 00:30:26,710
1171
+ population meanุŸ ุจุฏู‡ ninety-five percent
1172
+
1173
+ 294
1174
+ 00:30:26,710 --> 00:30:30,670
1175
+ confidence interval ู„ู„ู…ูŠู†
1176
+
1177
+ 295
1178
+ 00:30:34,770 --> 00:30:39,610
1179
+ ุฃูˆู„ ุดูŠ ู†ุนู… ุงูŠุด ูˆุญุฏุฉ ุงู„ู‚ูŠุงุณุฉ ุฏูŠ ุงูˆุฒุŸ ุงูˆุฒ ู‚ู†ุต ู‡ุฐู‡
1180
+
1181
+ 296
1182
+ 00:30:39,610 --> 00:30:43,290
1183
+ ุงุญุฏ ู‚ูŠุงุณ ุงู„ .. ุงู„ .. ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุทู„ุน ุนู„ูŠู‡ุง
1184
+
1185
+ 297
1186
+ 00:30:43,290 --> 00:30:47,550
1187
+ ูˆุดูˆู ุฅูŠุด ู‡ูŠ ุดูˆู ูŠุง ุนู… ุงู„ conversion ุงุฑุฌุน ุนู„ู‰ ุดู‚ุทุฑ
1188
+
1189
+ 298
1190
+ 00:30:47,550 --> 00:30:51,050
1191
+ ูˆุงุญุฏ ุญุทูŠู†ุง ุฌุฏูˆู„ ุงู„ุชุญูˆู„ุงุช ุจูŠู† ุงู„ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉ ูˆ
1192
+
1193
+ 299
1194
+ 00:30:51,050 --> 00:30:56,880
1195
+ ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุงุฑุฌุน ุดูˆู ุฅูŠุด ููŠ ุงู„ุชุญูˆู„ุงุชูˆุญุฏุฉ
1196
+
1197
+ 300
1198
+ 00:30:56,880 --> 00:31:00,520
1199
+ ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉ ุจุงู„ู†ุธุงู… ุงู„ุฅู†ุฌู„ูŠุฒูŠ ููŠ ุงู„ ons ููŠ ุงู„
1200
+
1201
+ 301
1202
+ 00:31:00,520 --> 00:31:06,360
1203
+ bound mass ููŠ ุงู„ slug ููŠ ูƒุฐุง ูˆุญุฏุฉ
1204
+
1205
+ 302
1206
+ 00:31:06,360 --> 00:31:13,740
1207
+ ุทูŠุจ
1208
+
1209
+ 303
1210
+ 00:31:13,740 --> 00:31:19,140
1211
+ ุฃูˆู„ ุดูŠ ุญุฏ
1212
+
1213
+ 304
1214
+ 00:31:19,140 --> 00:31:22,700
1215
+ small sample ูˆู„ุง large sample small sample
1216
+
1217
+ 305
1218
+ 00:31:32,560 --> 00:31:42,820
1219
+ ู…ุง ุจุฏู‰ ุงุณุชุฎุฏุงู… ุงู„ู€ T Distribution ุงู„
1220
+
1221
+ 306
1222
+ 00:31:42,820 --> 00:31:48,800
1223
+ confidence interval ุนู†ุฏู‰ 95
1224
+
1225
+ 307
1226
+ 00:31:48,800 --> 00:31:55,980
1227
+ % ู…ุนู†ุงุชู‡ ุงู„ alpha ุฃูƒู…ุŸ ุฎู…ุณุฉ ุงู„ alpha ุน ุงุชู†ูŠู† ุงู„
1228
+
1229
+ 308
1230
+ 00:31:55,980 --> 00:32:01,560
1231
+ alpha ุจุงู„ point O ุฎู…ุณุฉ ุงู„ alpha ุนู„ู‰ ุงุชู†ูŠู†
1232
+
1233
+ 309
1234
+ 00:32:05,050 --> 00:32:08,870
1235
+ ูŠุนู†ูŠ ุงู†ุง ุจุฏูŠ ู‡ุฐู‡ ุงู„ degrees of freedom ุงู†ุง ูƒู…ุงู†
1236
+
1237
+ 310
1238
+ 00:32:08,870 --> 00:32:14,590
1239
+ ุนู†ุฏูŠ ุงู„ new ุชู„ุชุงุด
1240
+
1241
+ 311
1242
+ 00:32:14,590 --> 00:32:20,810
1243
+ ุงุฑุจุนุชุงุด ู†ุงู‚ุต ูˆุงุญุฏ ุชู„ุชุงุด ู…ุนู†ุงู‡ ุชูุงุฏุน ู‡ุชูƒูˆู† T point
1244
+
1245
+ 312
1246
+ 00:32:20,810 --> 00:32:28,490
1247
+ O ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ูˆู‡ุฐู‡ minus T point O ุงุชู†ูŠู†
1248
+
1249
+ 313
1250
+ 00:32:28,490 --> 00:32:34,420
1251
+ ุฎู…ุณุฉ ูˆ ุชู„ุชุงุดุฃู†ุง ู…ู† ุงู„ุฌุฏูˆู„ ุจุทู„ุน ุงู„ู…ุณุงุญุฉ .. ุงู„ู…ุณุงุญุฉ
1252
+
1253
+ 314
1254
+ 00:32:34,420 --> 00:32:42,900
1255
+ ู‡ุงุฏุฆุฉ ุตุญุŸ ู„ูƒู† ุฃู†ุง ุจุฏูŠ ู‡ุงุฏุฆ ุทูŠุจ ู…ุนู†ุงุชู‡ ููŠ ุงู„ุฃูˆู„
1256
+
1257
+ 315
1258
+ 00:32:42,900 --> 00:32:48,820
1259
+ ู„ุงุฒู… ุฃุญุณุจ ุงู„ X bar ูŠุนู†ูŠ ุงู†ุง ุญุทุช ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุงู„
1260
+
1261
+ 316
1262
+ 00:32:48,820 --> 00:32:52,440
1263
+ Excel ุญุฏ ู†ุงุทู‚ูŠู‡ู… ุญุงู„ูŠุง ู‡ุงู„ุณุฑูŠุน
1264
+
1265
+ 317
1266
+ 00:33:06,880 --> 00:33:15,040
1267
+ ุนู†ุฏ ุงู„ X ุฃุทูˆู„
1268
+
1269
+ 318
1270
+ 00:33:15,040 --> 00:33:22,260
1271
+ ุงู„ู‚ุฑุงุกุงุช one point zero eight ุชู…ุงู†ูŠุฉ ุงูŠูˆุฉ one
1272
+
1273
+ 319
1274
+ 00:33:22,260 --> 00:33:31,960
1275
+ point zero one zero nine seven one zero three zero
1276
+
1277
+ 320
1278
+ 00:33:31,960 --> 00:33:35,780
1279
+ nine eight one zero zero
1280
+
1281
+ 321
1282
+ 00:33:40,910 --> 00:33:52,590
1283
+ 096, 099, 98, 1.05, 1.01,
1284
+
1285
+ 322
1286
+ 00:33:55,850 --> 00:33:56,950
1287
+ 1.04,
1288
+
1289
+ 323
1290
+ 00:33:59,650 --> 00:34:00,910
1291
+ 1.08
1292
+
1293
+ 324
1294
+ 00:34:40,560 --> 00:34:47,660
1295
+ ุทูŠุจ ุจุฏู‰ ุงุญุณุจ ุงู„ average value ู‡ุฏุง ู‡ุชูƒูˆู† ู…ุฌู…ูˆุนู‡ู…
1296
+
1297
+ 325
1298
+ 00:34:47,660 --> 00:34:59,260
1299
+ ุนู„ู‰ ุนุฏุฏู‡ู… ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ sum ุนู„ู‰
1300
+
1301
+ 326
1302
+ 00:34:59,260 --> 00:35:01,240
1303
+ ุงูŠู‡ุŸ ุนู„ู‰ 14
1304
+
1305
+ 327
1306
+ 00:35:05,020 --> 00:35:09,400
1307
+ ู‡ุฐุง ุงูŠุด ุงู„ .. ุงู„ X bar ู‡ุฐุง ุงู„ standard deviation
1308
+
1309
+ 328
1310
+ 00:35:09,400 --> 00:35:13,020
1311
+ standard
1312
+
1313
+ 329
1314
+ 00:35:13,020 --> 00:35:21,680
1315
+ SD STD
1316
+
1317
+ 330
1318
+ 00:35:21,680 --> 00:35:24,920
1319
+ STD STD STD STD STD STD STD STD STD STD STD STD
1320
+
1321
+ 331
1322
+ 00:35:24,920 --> 00:35:25,480
1323
+ STD STD STD STD STD STD STD STD STD STD STD STD
1324
+
1325
+ 332
1326
+ 00:35:25,480 --> 00:35:25,680
1327
+ STD STD STD STD STD STD STD STD STD STD STD STD
1328
+
1329
+ 333
1330
+ 00:35:25,680 --> 00:35:26,000
1331
+ STD STD STD STD STD STD STD STD STD STD STD STD
1332
+
1333
+ 334
1334
+ 00:35:26,000 --> 00:35:27,060
1335
+ STD STD STD STD STD STD STD STD STD STD STD STD
1336
+
1337
+ 335
1338
+ 00:35:27,060 --> 00:35:32,200
1339
+ STD STD STD STD STD STD
1340
+
1341
+ 336
1342
+ 00:35:32,200 --> 00:35:32,680
1343
+ STD STD STD STD STD STD STD STD STD STD STD STD
1344
+
1345
+ 337
1346
+ 00:35:32,680 --> 00:35:40,340
1347
+ STDุฃุญู†ุง ุณุงู…ุจู„ ู‡ู†ุงุฎุฏ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ู‡ุฐู‡ ุณุงู…ุจู„
1348
+
1349
+ 338
1350
+ 00:35:40,340 --> 00:35:46,220
1351
+ ู„ู„ู‚ุฑุงุกุงุช ู‡ุฏูˆู„ ู„ุญุงู„ู‡ ูˆ ุจูŠุญุณุจ ุงู„ deviations ูˆ ูƒู„ ุดูŠ
1352
+
1353
+ 339
1354
+ 00:35:46,220 --> 00:35:51,140
1355
+ ู„ุญุงู„ู‡ ูุจุทู„ุน
1356
+
1357
+ 340
1358
+ 00:35:51,140 --> 00:35:56,240
1359
+ ุนู†ุฏ ู‡ู†ุง ุงู„ X bar
1360
+
1361
+ 341
1362
+ 00:36:03,220 --> 00:36:14,780
1363
+ ุทู„ุน one point oh ูˆุงุญุฏ ูˆ ุงู„ Sx point oh four point
1364
+
1365
+ 342
1366
+ 00:36:14,780 --> 00:36:26,980
1367
+ oh four ู‡ูˆ
1368
+
1369
+ 343
1370
+ 00:36:26,980 --> 00:36:29,640
1371
+ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ู†ุนู…ู„ู‡ุง point oh four
1372
+
1373
+ 344
1374
+ 00:36:33,510 --> 00:36:36,330
1375
+ ู‡ูˆ ู…ู†ู‡ุง significant figures ู…ุด ุนุงู…ู„ู‡ุง ุตุญ ุนุดุงู† ุชู„ูˆู…
1376
+
1377
+ 345
1378
+ 00:36:36,330 --> 00:36:45,450
1379
+ ููŠ ุงู„ุตูˆุฑุฉ ุทูŠุจ ุงู„ุงู† ุงู†ุง ุนู†ุฏูŠ ุงู„ V ุชู„ุชุงุด ูˆ ุงู„ ุงู„ู
1380
+
1381
+ 346
1382
+ 00:36:45,450 --> 00:36:51,510
1383
+ ุนู„ู‰ ุงุชู†ูŠู† point ุงุชู†ูŠู† ุฎู…ุณุฉ ุจุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ ู‡ุงูŠ
1384
+
1385
+ 347
1386
+ 00:36:51,510 --> 00:36:59,110
1387
+ ุงู„ table ุฎู…ุณุฉ ุงู„ significant ุนู†ุฏูŠ ุงูŠุด point ุงุชู†ูŠู†
1388
+
1389
+ 348
1390
+ 00:36:59,110 --> 00:37:05,360
1391
+ ุฎู…ุณุฉ ูˆ ุนู†ุฏูŠ ู‡ุฐู‡ ุชู„ุชุงุดุงู„ู€ T point O ุชู†ูŠู† ุฎู…ุณุฉ ูˆ
1392
+
1393
+ 349
1394
+ 00:37:05,360 --> 00:37:13,460
1395
+ ุชู„ุชุงุด ุงุชู†ูŠู† point ุณุชุงุด ุงู„ T ุงู„
1396
+
1397
+ 350
1398
+ 00:37:13,460 --> 00:37:20,720
1399
+ T point O ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ุงุชู†ูŠู† point ุณุชุงุด
1400
+
1401
+ 351
1402
+ 00:37:34,450 --> 00:37:38,210
1403
+ ุทูŠุจ ู…ุนู†ุงุชู‡ ุงู†ุง ุนู†ุฏูŠ two sided confidence interval
1404
+
1405
+ 352
1406
+ 00:37:38,210 --> 00:37:43,230
1407
+ ู‡ูŠ two sided ุงู„ confidence interval ู‡ูŠูƒูˆู† ุนู†ุฏูŠ
1408
+
1409
+ 353
1410
+ 00:37:43,230 --> 00:37:46,250
1411
+ ุงู„ู…ูŠูˆ
1412
+
1413
+ 354
1414
+ 00:37:46,250 --> 00:37:57,750
1415
+ ุจูŠุณูˆุง X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูŠ T point O ุงุชู†ูŠู†
1416
+
1417
+ 355
1418
+ 00:37:57,750 --> 00:38:06,810
1419
+ ุฎู…ุณุฉ ูˆ ุชู„ุชุงุดุณูƒุณ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ูŠุนู†ูŠ ุงู†ุง ู‡ูƒูˆู† ุนู†ุฏ
1420
+
1421
+ 356
1422
+ 00:38:06,810 --> 00:38:19,150
1423
+ ุงุชู†ูŠู† ุฒุงุฏุฉ ูˆู†ุงู‚ุต ุงุชู†ูŠู† point ุณุชุงุด ููŠ ุงู„ ุณูƒุณ point
1424
+
1425
+ 357
1426
+ 00:38:19,150 --> 00:38:22,730
1427
+ ุงูˆ ุงุฑุจุน
1428
+
1429
+ 358
1430
+ 00:38:22,730 --> 00:38:27,870
1431
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงุฑุจุนุชุงุด
1432
+
1433
+ 359
1434
+ 00:38:29,270 --> 00:38:36,830
1435
+ ุงู„ู€ X bar ุงูƒุซุฑ ู…ู† X bar ุงู†ุฏูŠ 1.O1 ูŠุนู†ูŠ ุงู„ู…ูŠูˆ ุณุชูƒูˆู†
1436
+
1437
+ 360
1438
+ 00:38:36,830 --> 00:38:52,270
1439
+ ุชุณุงูˆูŠ 1.O9 ุฒุงุฏ ุงูˆ ู†ุงู‚ุต .O ูŠุนู†ูŠ
1440
+
1441
+ 361
1442
+ 00:38:52,270 --> 00:38:56,170
1443
+ ุงู„ true mean value ุทุจู‚ุง ู„ู‡ุฐุง ุงู„ุชุฌุฑุจุฉ ุณุชูƒูˆู† ูˆุงู‚ุนู‰
1444
+
1445
+ 362
1446
+ 00:38:56,170 --> 00:39:04,900
1447
+ ููŠ ุงู„ range ู‡ุฐุงwith 95% confidence ูŠุนู†ูŠ ุงู†ุง ู…ุชุฃูƒุฏ
1448
+
1449
+ 363
1450
+ 00:39:04,900 --> 00:39:14,260
1451
+ ุจุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 95% ุจุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 95% ุทูŠุจ ู„ูˆ ู†ุฌุฑุจ ู†ุฎู„ูŠ
1452
+
1453
+ 364
1454
+ 00:39:14,260 --> 00:39:23,240
1455
+ ุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 99% ุฎู„ูŠ ุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 99% ู†ูุณ ุงู„ู…ุณุฃู„ุฉ ุฏูŠ
1456
+
1457
+ 365
1458
+ 00:39:23,240 --> 00:39:30,380
1459
+ ู‡ู†ุญูƒูŠ ู‡ู†ุทู„ุน ุงู„ุชุฃูƒุฏ 99%ุงู„ู ู‡ุชูƒูˆู† ุงูƒู… point O ูˆุงุญุฏ
1460
+
1461
+ 366
1462
+ 00:39:30,380 --> 00:39:44,160
1463
+ ุตุญ point O ูˆุงุญุฏ ูŠุนู†ูŠ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† point O O ุฎู…ุณุฉ
1464
+
1465
+ 367
1466
+ 00:39:44,160 --> 00:39:53,200
1467
+ ู…ุนู†ุงุชู‡ ุงู„ T point O O ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ุงูŠุด ู‡ุชุณุงูˆูŠ
1468
+
1469
+ 368
1470
+ 00:40:08,740 --> 00:40:14,900
1471
+ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1472
+
1473
+ 369
1474
+ 00:40:14,900 --> 00:40:19,700
1475
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1476
+
1477
+ 370
1478
+ 00:40:19,700 --> 00:40:21,400
1479
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ
1480
+
1481
+ 371
1482
+ 00:40:21,400 --> 00:40:24,560
1483
+ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1484
+
1485
+ 372
1486
+ 00:40:24,560 --> 00:40:30,720
1487
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1488
+
1489
+ 373
1490
+ 00:40:33,740 --> 00:40:41,980
1491
+ ุงุญู†ุง ุจุจุณุงุทุฉ ุจู†ุญุณุจู‡ุง ูƒูŠู ู†ุถุฑุจ ุงู„ุฑู‚ู… ู‡ุฐุง ู†ู‚ุณู…ู‡ ุนู„ู‰
1492
+
1493
+ 374
1494
+ 00:40:41,980 --> 00:40:46,340
1495
+ ุงุชู†ูŠู† point ุณุชุงุด ูˆ ู†ุถุฑุจ ููŠ ุงูŠุด ุงู„ three point ุงู„
1496
+
1497
+ 375
1498
+ 00:40:46,340 --> 00:40:51,740
1499
+ three point ุงูŠู‡ ูƒู… ุถู„ู†ุง ู‡ู†ุง ุงู„ุณุช
1500
+
1501
+ 376
1502
+ 00:40:51,740 --> 00:40:58,500
1503
+ ูˆ ุนุดุฑูŠู† ุดูƒู„ุฉ ุชู„ุชุงุด ุชู„ุชุฉ point ุงูˆ ุงุชู†ุงุด ูŠุนู†ูŠ ุงู‚ุณู…ู‡
1504
+
1505
+ 377
1506
+ 00:40:58,500 --> 00:41:05,560
1507
+ ุนู„ู‰ ุงุชู†ูŠู†ุงู‚ุณู… ุนู„ู‰ ุงุชู†ูŠู† point ุณุชุงุด ููŠ ุชู„ุงุชุฉ point
1508
+
1509
+ 378
1510
+ 00:41:05,560 --> 00:41:20,940
1511
+ ุงูŠู‡ ุงูŠุด ุงุชู†ุงุด ุงุญุณุจูˆู‡ุง
1512
+
1513
+ 379
1514
+ 00:41:20,940 --> 00:41:28,240
1515
+ ุงู„ู…ู‡ู… ูƒุชูŠุฑ ุงู„ุฑู‚ู… ู‡ุฐุง ุงู‚ุณู… ู„ู„ุฑู‚ู… ู‡ุฐุง ุนู„ู‰ ุงุชู†ูŠู†
1516
+
1517
+ 380
1518
+ 00:41:28,240 --> 00:41:30,800
1519
+ point ุณุชุงุด ูˆ ุงุถุฑุจ ููŠ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด
1520
+
1521
+ 381
1522
+ 00:41:33,380 --> 00:41:46,880
1523
+ ู„ุฃู† ูƒู„ ุดูŠุก ุซุงุจุช ู…ุง ุชุบูŠุฑู‡ ุบูŠุฑ ุงู„ู€ T point zero
1524
+
1525
+ 382
1526
+ 00:41:46,880 --> 00:41:52,580
1527
+ point zero point zero point zero point zero point
1528
+
1529
+ 383
1530
+ 00:41:52,580 --> 00:41:55,160
1531
+ zero point zero point zero point zero point zero
1532
+
1533
+ 384
1534
+ 00:41:55,160 --> 00:41:55,280
1535
+ point zero point zero point zero point zero point
1536
+
1537
+ 385
1538
+ 00:41:55,280 --> 00:41:55,300
1539
+ zero point zero point zero point zero point zero
1540
+
1541
+ 386
1542
+ 00:41:55,300 --> 00:41:55,320
1543
+ zero point zero point zero point zero point zero
1544
+
1545
+ 387
1546
+ 00:41:55,320 --> 00:41:55,560
1547
+ zero point zero point zero point zero point zero
1548
+
1549
+ 388
1550
+ 00:41:55,560 --> 00:41:55,580
1551
+ zero point zero point zero point zero point zero
1552
+
1553
+ 389
1554
+ 00:41:55,580 --> 00:42:00,700
1555
+ point zero point zero point zeroู„ุฃ ุฎู„ู‘ูŠ ู†ูุณ ุงู„ู„ูŠ
1556
+
1557
+ 390
1558
+ 00:42:00,700 --> 00:42:05,540
1559
+ ุฏุง ุชู„ุงุชุฉ ุงูƒู… ุงู‡ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุณุชุฉ ุชู„ุงุชุฉ ุณุชุฉ ุชู„ุงุชุฉ
1560
+
1561
+ 391
1562
+ 00:42:05,540 --> 00:42:13,680
1563
+ ู…ุนู†ุงุชู‡ ุฎู„ุงู†ูƒ ุชุจู„ุฎุต ุงู„ู„ูŠ ุฏุงูƒ for
1564
+
1565
+ 392
1566
+ 00:42:13,680 --> 00:42:18,260
1567
+ ninety five percent confidence
1568
+
1569
+ 393
1570
+ 00:42:18,260 --> 00:42:26,280
1571
+ ู‡ุชูƒูˆู† ุงู„ู…ูŠูˆ ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ point ุงูˆ ุงูˆ ุชุณุนุฉ ุฒุงุฏ ุงูˆ
1572
+
1573
+ 394
1574
+ 00:42:26,280 --> 00:42:37,450
1575
+ ู†ุงู‚ุตpoint o ุงุชู†ูŠู† ุงุฑุจุนุฉ four
1576
+
1577
+ 395
1578
+ 00:42:37,450 --> 00:42:43,770
1579
+ ninety nine percent confidence ู‡ุชูƒูˆู† ู…ูŠูˆ ุจุงู„ุณุงุนุฉ
1580
+
1581
+ 396
1582
+ 00:42:43,770 --> 00:42:51,110
1583
+ ูˆุงุญุฏ point o ุงุชุณุนุฉ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต point zero ุชู„ุงุชุฉ
1584
+
1585
+ 397
1586
+ 00:42:51,110 --> 00:42:56,990
1587
+ ุงุฑุจุนุฉ zero ุชู„ุงุชุฉ ุงุฑุจุนุฉ
1588
+
1589
+ 398
1590
+ 00:43:05,840 --> 00:43:11,060
1591
+ ู„ุฃ ู‡ูŠูƒ ุตุญ ุนุดุงู†
1592
+
1593
+ 399
1594
+ 00:43:11,060 --> 00:43:16,040
1595
+ ุงู†ุง ุงุญูƒูŠ ุงู†ุง ู…ุชุฃูƒุฏ ุงู† ู‡ูŠ 99% ู‡ุชูƒูˆู† ูู‰ ุงู„ range ู‡ุฐุง
1596
+
1597
+ 400
1598
+ 00:43:16,040 --> 00:43:23,940
1599
+ ุจุฏู‰ ุงุดูŠู„ ุจุฏู‰ ุงูˆุณุน ุงู„ range ุงุฐุง
1600
+
1601
+ 401
1602
+ 00:43:23,940 --> 00:43:29,900
1603
+ ุจุฏู‰ ุงุญูƒูŠ ุจู†ุณุจุฉ 5% ุจุฏู‰ ุฏุฑุฌุฉ ุงู„ range ูˆุงุถุญ ู‡ุชู…ุซู„ ุงูŠุด
1604
+
1605
+ 402
1606
+ 00:43:29,900 --> 00:43:35,000
1607
+ confidence level ูˆุงุถุญุงุชุŸ
1608
+
1609
+ 403
1610
+ 00:43:37,340 --> 00:43:39,640
1611
+ ู…ุงู†ุง ุจุญูƒูŠ ุงู†ุง ู…ุชุฃูƒุฏ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ ุงู„ู…ูŠุฉ ุงุญู†ุง ู†ูƒูˆู†
1612
+
1613
+ 404
1614
+ 00:43:39,640 --> 00:43:41,240
1615
+ ููŠ ุงู„ range ู‡ุฐุง ุนุดุงู† ุงู†ุง ุฃูƒูˆู† ู…ุชุฃูƒุฏ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ
1616
+
1617
+ 405
1618
+ 00:43:41,240 --> 00:43:43,580
1619
+ ุงู„ู…ูŠุฉ ู„ุงุฒู… ุงูˆุณุน ุจูุนุดุงู† ุงุญูƒูŠ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ ุงู„ู…ูŠุฉ ูˆ
1620
+
1621
+ 406
1622
+ 00:43:43,580 --> 00:43:49,560
1623
+ ุงุถุงูŠู‚ ุญุงู„ูŠุŒ ุจุธุจุทุŸ ููƒู„
1624
+
1625
+ 407
1626
+ 00:43:49,560 --> 00:43:53,540
1627
+ ู…ุง ุฒุงุฏ ุงู„ confidence level ูƒู„ ู…ุง ูˆุฒุนุช ุงู„ุทูˆู„ุฉ ..
1628
+
1629
+ 408
1630
+ 00:43:53,540 --> 00:43:58,620
1631
+ ุงู„ุทูˆู„ุฉ ุจุต ูƒุฏุฑ ูŠุนู†ูŠ ุงู†ุง ู…ุซู„ุง ุจุญูƒูŠ ูˆุงู„ู„ู‡ ุงู†ุง ุงู„ุทุงูˆู„ุฉ
1632
+
1633
+ 409
1634
+ 00:43:58,620 --> 00:44:01,660
1635
+ ู‡ุฐู‡ ุจุถู…ุงู„ูƒูŠ ูŠุงู‡ุง
1636
+
1637
+ 410
1638
+ 00:44:06,500 --> 00:44:09,700
1639
+ ุชุณุนุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุชูƒูˆู† ุทูˆู„ู‡ุง ู…ุชุฑ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
1640
+
1641
+ 411
1642
+ 00:44:09,700 --> 00:44:14,320
1643
+ ๏ฟฝ๏ฟฝู…ุณุฉ ุตู†ุทูŠ ุญุณุจูˆุชุŸ
1644
+
1645
+ 412
1646
+ 00:44:14,320 --> 00:44:17,760
1647
+ ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุจุญูƒูŠู„ูƒ ูˆ ุงู„ู„ู‡ ุจุถู…ู†ูƒ ุงู„ุทูˆู„ุฉ
1648
+
1649
+ 413
1650
+ 00:44:17,760 --> 00:44:23,920
1651
+ ุทูˆู„ู‡ุง ู…ุชุฑ ุจุถู…ู†ูƒ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุทูˆู„ู‡ุง ู…ุชุฑ ุฒุงุฏ ุงูˆ
1652
+
1653
+ 414
1654
+ 00:44:23,920 --> 00:44:31,200
1655
+ ู†ุงู‚ุต ูˆุงุญุฏ ุตู†ุทูŠ ูˆุงุถุญุงุชุŸ ุฏุฑุฌุฉ ุงู„ุชูŠู‚ู† ูƒู„ ู…ุฑุฉ ูุงุฏุช
1656
+
1657
+ 415
1658
+ 00:44:31,200 --> 00:44:38,530
1659
+ ุฏุฑุฌุฉ ุงู„ุชูŠู‚ู† ุงูƒุชุฑ ู„ุงุฒู… ุงูˆุณุน ุงู„ rangeุฎู„ู‘ูŠู†ูŠ ู†ุฎู„ุต
1660
+
1661
+ 416
1662
+ 00:44:38,530 --> 00:44:41,370
1663
+ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ูˆ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠ ุจู†ูƒู…ู„ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
1664
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/TP58_Fnvaik_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/TP58_Fnvaik_raw.srt ADDED
@@ -0,0 +1,1760 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,060 --> 00:00:07,820
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,820 --> 00:00:13,200
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ chapter three ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู…
8
+
9
+ 3
10
+ 00:00:13,200 --> 00:00:15,640
11
+ ูˆ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช assessing and presenting
12
+
13
+ 4
14
+ 00:00:15,640 --> 00:00:24,030
15
+ experimental data ุงู„ู…ุญุงุถุฑุฉ ุงู„ูุงุชุชุฉ ุญู„ู†ุง ู…ุซุงู„ุนู„ู‰
16
+
17
+ 5
18
+ 00:00:24,030 --> 00:00:32,650
19
+ ู‚ูŠุงุณุงุช ุงู„ุถุบุท ุถุบุท ุจุฎุงุฑ ู…ุง ูƒุงู† ุนู†ุฏู‡ ุฃุฎุฏู†ุง ู…ุงุฆุฉ ู‚ุฑุงุกุฉ
20
+
21
+ 6
22
+ 00:00:32,650 --> 00:00:40,890
23
+ ูƒุงู† ู…ูุชุฑุถ ุนู„ู‰ ุงู„ exit ูŠูƒูˆู† ุงู„ุถุบุท ู…ุงุฆุฉ ุฃุฑุจุน
24
+
25
+ 7
26
+ 00:00:40,890 --> 00:00:47,270
27
+ ู…ูŠุฌุงุจุงุณูƒุงู„ ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุฃุฑุจุนูŠู† ุจุงุฑ ู„ูƒู†
28
+
29
+ 8
30
+ 00:00:47,270 --> 00:00:52,430
31
+ ู„ุนุฏุฉ ุฃุณุจุงุจ ู…ุฎุชู„ูุฉ ูŠุนู†ูŠ ู…ุณุชุญูŠู„ ุชูƒูˆู† ุฃุฑุจุนู…ูŠุฉ ููŠ
32
+
33
+ 9
34
+ 00:00:52,430 --> 00:00:57,310
35
+ ุงู„ู…ูŠุฉ ุงูŠู‡ ุงู„ู„ูŠ ูŠุตูŠุฑ ููŠู‡ ุชุฏุจุฏ ููŠ ุงู„ู‚ุฑุงุกุงุช ุนู…ู„ู†ุง
36
+
37
+ 10
38
+ 00:00:57,310 --> 00:01:02,830
39
+ statistical analysis ูˆุฌูŠุจู†ุง ุงู„ mean ูˆุฌูŠุจู†ุง ุงู„
40
+
41
+ 11
42
+ 00:01:02,830 --> 00:01:08,950
43
+ standard deviation ูˆุฌูŠุจู†ุง confidence intervals ุงู„
44
+
45
+ 12
46
+ 00:01:08,950 --> 00:01:13,210
47
+ previous exampleุฃูˆู„ ุฌู‡ุฉ ุงู†ุง ูƒูŠู ู…ู…ูƒู† ุงู‚ูŠู… ุงู„
48
+
49
+ 13
50
+ 00:01:13,210 --> 00:01:15,710
51
+ dispersion ูŠุนู†ูŠ ุงู„ุณู…ุจ ู…ู† ุงู„ู‚ูˆุงู†ูŠู† ุงู„ู…ูŠุช ุงู„ู‚ุฑุงุกุฉ
52
+
53
+ 14
54
+ 00:01:15,710 --> 00:01:19,030
55
+ ุจุฏูŠ ุงุดูˆู ูƒูŠู ุงู„ dispersion ูŠุนู†ูŠ ุงู„ุชุดุชุช ุงูˆ ุชุชุจุฏู„
56
+
57
+ 15
58
+ 00:01:19,030 --> 00:01:27,610
59
+ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ู„ู‚ุฑุงุกุงุช it
60
+
61
+ 16
62
+ 00:01:27,610 --> 00:01:31,050
63
+ did not yield an estimate for the uncertainty in
64
+
65
+ 17
66
+ 00:01:31,050 --> 00:01:33,910
67
+ using X bar as an approximation to the true main
68
+
69
+ 18
70
+ 00:01:33,910 --> 00:01:36,930
71
+ value ุงู„ุงู† X bar ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ุง ุชุนู†ูŠ ุงู„ู‚ูŠู…ุฉ
72
+
73
+ 19
74
+ 00:01:36,930 --> 00:01:41,510
75
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ุงู„ู„ูŠ ุจุฑุดู‡ุงู„ุฃู†ู‡ ุฃู†ุง ุฃุฎุฏุช ุจุณ ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู…ุฏุฉ
76
+
77
+ 20
78
+ 00:01:41,510 --> 00:01:49,870
79
+ ุงุชู†ุงุดุฑ ุณุงุนุฉ ู„ูƒู† ู‡ุฐุง ุงู„ุฎุท ุงู„ุจุฎุงุฑ ุดุบุงู„ ุนู„ู‰ ุทูˆู„ ุฑู‚ู…
80
+
81
+ 21
82
+ 00:01:49,870 --> 00:01:53,910
83
+ ูˆุงุญุฏ ูˆู…ุญุชุงุฌ ู‚ุฑุงุกุงุช ูƒุชูŠุฑ ุนุดุงู† ุฃุตู„ ู„ู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
84
+
85
+ 22
86
+ 00:01:53,910 --> 00:01:58,350
87
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ุฒูˆุฏุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุฃูƒุชุฑ ูƒู„ ู…ุง ูƒู†ุช ุฃู‚ุฑุจ
88
+
89
+ 23
90
+ 00:01:58,350 --> 00:01:59,810
91
+ ู„ู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
92
+
93
+ 24
94
+ 00:02:03,650 --> 00:02:10,270
95
+ ูู…ุง ุชุทู†ูŠุด ู†ุณุจุฉ ุงู„ุจุนุฏ ุงู„ average value ุนู† ุงู„ true
96
+
97
+ 25
98
+ 00:02:10,270 --> 00:02:16,290
99
+ value ุงู„ true main value ู„ูˆ
100
+
101
+ 26
102
+ 00:02:16,290 --> 00:02:21,570
103
+ ุนุฏู†ุง ูุญุต ุงู„ุถุบุท ูˆ ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ุงุฆุฉ ู†ู‚ุทุฉ ู…ุงุฆุฉ ู‚ุฑุงุกุฉ
104
+
105
+ 27
106
+ 00:02:21,570 --> 00:02:26,210
107
+ ู‡ู„ ู‡ู†ุญุตู„ ุนู„ู‰ ู†ูุณ ุงู„ main value ู„ุฃ ู…ุด ู‡ู†ุญุตู„ ุนู„ู‰ ู†ูุณ
108
+
109
+ 28
110
+ 00:02:26,210 --> 00:02:29,330
111
+ ุงู„ main value ู„ูˆ ุนู…ู„ู†ุง ูƒู…ุงู† ุชุฌุฑุจุฉ ุฃู…ูˆ ุงุชู†ุงุดุฑ ุณุงุนุฉ
112
+
113
+ 29
114
+ 00:02:29,330 --> 00:02:31,830
115
+ ุชุงู†ูŠุฉ ูˆ ุนู…ู„ู†ุง ุฃุฎุฏู†ุง ูƒู…ุงู† ู…ุงุฆุฉ ู‚ุฑุงุกุฉ ู‡ู„ ู‡ู†ุญุตู„ ุนู„ู‰
116
+
117
+ 30
118
+ 00:02:31,830 --> 00:02:36,840
119
+ ู†ูุณ ุงู„ main valueูŠุนู†ูŠ ู„ูˆ ุนู†ุฏู†ุง ุชุฌุฑุจุฉ ู…ูŠุช ู…ุฑุฉ ู‡ูŠูƒูˆู†
120
+
121
+ 31
122
+ 00:02:36,840 --> 00:02:41,060
123
+ ููŠ ุนู†ุฏู‡ ุชุดุชุช ู„ุนู† ูƒู„ ุชุฌุฑุจุฉ ู„ูƒู„ ู…ูŠุช ูƒุฑุฉ ููŠ ุนู†ุฏู‡ ู‚ูŠู…
124
+
125
+ 32
126
+ 00:02:41,060 --> 00:02:44,280
127
+ ู…ุชูˆุณุทุฉ ูŠุนู†ูŠ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ุฑู‚ู… ูˆุงุญุฏ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ
128
+
129
+ 33
130
+ 00:02:44,280 --> 00:02:47,460
131
+ ุฑู‚ู… ุงุชู†ูŠู† ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ุฑู‚ู… ุชู„ุงุชุฉ ูˆ ุงุฎุฑ ูุญุชู‰
132
+
133
+ 34
134
+ 00:02:47,460 --> 00:02:51,980
135
+ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ููŠู‡ ู‡ุงุด distribution ููŠ ุนู†ุฏู‡ ุชุดุชุช
136
+
137
+ 35
138
+ 00:02:51,980 --> 00:03:02,440
139
+ ู„ู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ู…ู‚ุงุจู„ ู…ุชูˆุณุท ุงู„ู…ุชูˆุณุทุงุชููŠ ุชุดุชุช
140
+
141
+ 36
142
+ 00:03:02,440 --> 00:03:12,640
143
+ ุงู„ู…ุชูˆุณุท ุงู„ู…ุชูˆุณุทุงุช ุฒู‰
144
+
145
+ 37
146
+ 00:03:12,640 --> 00:03:15,600
147
+ ู…ุง ุญูƒูŠู†ุง samples of the mean also show a
148
+
149
+ 38
150
+ 00:03:15,600 --> 00:03:19,580
151
+ dispersion about a central value ุจุฑุถู‡ ุงู„ู…ุชูˆุณุท ู„ูƒู„
152
+
153
+ 39
154
+ 00:03:19,580 --> 00:03:24,960
155
+ ุชุฌุฑุจุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ุญูˆุงู„ูŠ ุฃู…ูŠุฉ ู‚ุฑุงุกุฉ ุจูŠูƒูˆู† ููŠู‡ุง ูŠุนู†ูŠ
156
+
157
+ 40
158
+ 00:03:24,960 --> 00:03:28,200
159
+ ุชุชุจุฏุฃ ุญูˆุงู„ูŠู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุฑูƒุฒูŠุฉ
160
+
161
+ 41
162
+ 00:03:32,120 --> 00:03:38,200
163
+ ุฅุฐุง ูƒุงู†ุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู„ูƒู„ ุนูŠู†ุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ูƒุจูŠุฑุฉ ุฌุฏุง
164
+
165
+ 42
166
+ 00:03:38,200 --> 00:03:42,740
167
+ ุฅุฐุง
168
+
169
+ 43
170
+ 00:03:42,740 --> 00:03:47,520
171
+ ูƒุงู†ุช ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู„ูƒู„ ุนูŠู†ุฉ ู„ูƒู„ ุชุฌุฑุจุฉ ูƒุจูŠุฑุฉ ุฌุฏุงูˆุงู„
172
+
173
+ 44
174
+ 00:03:47,520 --> 00:03:51,520
175
+ standard deviation ู„ู„ main value ุงู†ุง ุนู†ุฏู‰ ุนู…ู„ุช ุนุดุฑ
176
+
177
+ 45
178
+ 00:03:51,520 --> 00:03:56,820
179
+ ุชุฌุงุฑุจ ุงูˆ ู†ุญูƒูŠ ู…ูŠุฉ ุชุฌุงุฑุจุฉ ูƒู„ ุชุฌุงุฑุจุฉ ู…ูŠุช ู‚ุฑุงุก ูƒู„ ู…ูŠุช
180
+
181
+ 46
182
+ 00:03:56,820 --> 00:04:00,160
183
+ ู‚ุฑุงุก ู„ู‡ู… average value ู…ุนู†ุงุชู‡ ู„ู„ average values
184
+
185
+ 47
186
+ 00:04:00,160 --> 00:04:05,860
187
+ ู…ู…ูƒ๏ฟฝ๏ฟฝ ุงุฌูŠุจู‡ุงุด average ูˆู„ู„ average values ู‡ูƒูˆู† ููŠ
188
+
189
+ 48
190
+ 00:04:05,860 --> 00:04:08,900
191
+ ุนู†ุฏู‰ ุงู†ุญุฑุงู ู…ุนูŠุงุฑูŠ standard deviation ุงู„ุงู†ุญุฑุงู
192
+
193
+ 49
194
+ 00:04:08,900 --> 00:04:13,620
195
+ ุงู„ู…ุนูŠุงุฑูŠ ู„ู„ average values ุจูŠูƒูˆู† sigma ุนู„ู‰ ุฌุฒุฑ
196
+
197
+ 50
198
+ 00:04:13,620 --> 00:04:19,090
199
+ ุงู„ุชุฑุจูŠุนูŠ ู„ู„ Nุงู„ู€ Sigma ู‡ูŠ ุงู„ุญุฑุงุฑุฉ ููŠ ุงู„ู…ุนูŠุงุฑุฉ ู„ูƒู„
200
+
201
+ 51
202
+ 00:04:19,090 --> 00:04:22,210
203
+ ุชุฌุฑุจุฉ ุงู„ุชุฌุฑุจุฉ ุงู„ูˆุงุญุฏุฉ ุงู†ุง ุนู…ู„ุช ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ุงู„ Sigma
204
+
205
+ 52
206
+ 00:04:22,210 --> 00:04:26,850
207
+ ู‡ุฐู‡ ุจุชุงุนุฉ ุงู„ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ุนู…ู„ุช ู…ุซู„ุง ู…ุงุฆุฉ ุชุฌุฑุจุฉ ูƒู„
208
+
209
+ 53
210
+ 00:04:26,850 --> 00:04:32,490
211
+ ุชุฌุฑุจุฉ ู…ุงุฆุฉ ู‚ุฑุงู‡ุง ูˆุงุถุญ ูุงู„ Sigma ู‡ุฐู‡ ุงู„ standard
212
+
213
+ 54
214
+ 00:04:32,490 --> 00:04:42,470
215
+ deviation ู„ ุงู„ sample X
216
+
217
+ 55
218
+ 00:04:42,470 --> 00:04:47,830
219
+ bar ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุจุณุทุฉ ู„ู„ุชุฌุฑุจุฉis Gaussian distributed
220
+
221
+ 56
222
+ 00:04:47,830 --> 00:04:53,370
223
+ ูŠุนู†ูŠ ุงู„ุดูƒู„ ุงู„ุชูˆุฒูŠุน ุงู„ู‚ุฑุงุกุงุช ุจุชุจู‚ู‰ ุงู„ุชูˆุฒูŠุน ุงู„ุทุจูŠุนูŠ
224
+
225
+ 57
226
+ 00:04:53,370 --> 00:04:59,010
227
+ ูˆุงู„ standard deviation ุจุชุงุนุฉ sigma x bar ู…ู…ูƒู† ุงุนุฑู
228
+
229
+ 58
230
+ 00:04:59,010 --> 00:05:08,570
231
+ ุงู„ z variable ุงู„ู„ูŠ ู‡ูˆ z ุณูˆุงุก x bar minus mu ุนู„ู‰
232
+
233
+ 59
234
+ 00:05:08,570 --> 00:05:19,520
235
+ sigma x bar ูˆ sigma x bar ุจุงู„ุณูˆุงุก sigmaุนู„ู‰ ุฌุฏุฑ N
236
+
237
+ 60
238
+ 00:05:19,520 --> 00:05:25,560
239
+ ุงุฐุง
240
+
241
+ 61
242
+ 00:05:25,560 --> 00:05:28,820
243
+ ูƒุงู† ุนู†ุฏู‰ confidence interval C ูŠุนู†ูŠ ุนู†ุฏู‰
244
+
245
+ 62
246
+ 00:05:28,820 --> 00:05:35,260
247
+ confidence 95% ุงูˆ confidence ุนู†ุฏู‰ 99% ู„ู„ true mean
248
+
249
+ 63
250
+ 00:05:35,260 --> 00:05:39,140
251
+ value ูƒุงู†ุช ุงู„ true mean value ู‡ุชูƒูˆู† ุจูŠู† lower
252
+
253
+ 64
254
+ 00:05:39,140 --> 00:05:44,370
255
+ bound ุจูŠู† ู‚ูŠู…ุฉุฏู†ูŠุง ูˆู‚ูŠู…ุฉ ุนุธู…ู‰ ู‡ุฐู‡ ุงู„ู‚ูŠู…ุฉ ุงู„ุฏู†ูŠุง
256
+
257
+ 65
258
+ 00:05:44,370 --> 00:05:50,810
259
+ ู‡ุชูƒูˆู† ุงู„ true value ุจูŠู† x bar minus zc ุน 2 ููŠ
260
+
261
+ 66
262
+ 00:05:50,810 --> 00:05:56,530
263
+ sigma ุนู„ู‰ ุฌุฏุฑ n ูˆ ุจูŠู† x bar ูˆ zc ุน 2 ููŠ sigma ุนู„ู‰
264
+
265
+ 67
266
+ 00:05:56,530 --> 00:06:03,330
267
+ ุฌุฏุฑ n ุทุจุนุง
268
+
269
+ 68
270
+ 00:06:03,330 --> 00:06:07,230
271
+ ุญุชู‰ ุงู„ sample ู„ูˆ ูƒุงู†ุช large ุจุชู…ุซู„ุด ุงู„ population
272
+
273
+ 69
274
+ 00:06:09,120 --> 00:06:11,520
275
+ population ุฒู‰ ู…ุง ุญูƒูŠุชู‡ุง ุงู„ู†ุงุณ ููŠ ุญุงู„ุฉ ู…ุฑุถู‰ ุงู„ุณูƒุฑ
276
+
277
+ 70
278
+ 00:06:11,520 --> 00:06:14,020
279
+ ููŠ ูู„ุณุทูŠู† ู‡ุฐุง ู‡ูˆ ุงู„ population ูƒู„ ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ
280
+
281
+ 71
282
+ 00:06:14,020 --> 00:06:16,920
283
+ ูู„ุณุทูŠู† ู‡ู… ุงู„ population ู„ูƒู† ุงู„ sample ุงู„ู„ู‰ ุฃุฎุฏุช
284
+
285
+ 72
286
+ 00:06:16,920 --> 00:06:22,180
287
+ ุงู„ุนูŠู†ุฉ ู…ู† ุงู„ู ุดุฎุต ู‡ุฏูˆู„ ุตุญ large ุจุณ ุจุชุถู„ู‡ุง sample
288
+
289
+ 73
290
+ 00:06:22,180 --> 00:06:27,730
291
+ ุจุชุถู„ู‡ุง sampleููŠ ุญุงู„ุฉ large sample ู…ู…ูƒู† ุงุนุชุจุฑ ุงู„
292
+
293
+ 74
294
+ 00:06:27,730 --> 00:06:32,670
295
+ sigma ุจุชุงุนุฉ ุงู„ population ู‡ูŠ ู†ูุณ ุงู„ standard
296
+
297
+ 75
298
+ 00:06:32,670 --> 00:06:34,950
299
+ deviation ุจุชุงุนุฉ ุงู„ sample ูŠุนู†ูŠ ู…ู…ูƒู† ุชู‚ุฑูŠุจุง ุงู†ุง
300
+
301
+ 76
302
+ 00:06:34,950 --> 00:06:38,990
303
+ ุงุญูƒูŠ ุงู„ sigma ุงู„ุณุงูˆูŠุฉ Sx ุงู„ Sx ู‡ูŠ ุงู„ standard
304
+
305
+ 77
306
+ 00:06:38,990 --> 00:06:45,370
307
+ deviation ู„ ุงู„ sample ูŠุนู†ูŠ ุงู„ true mean value
308
+
309
+ 78
310
+ 00:06:45,370 --> 00:06:52,170
311
+ ู‡ุชุชุฑูˆุญ ุจูŠู† lower bound ูˆ upper bound and ู‡ุฏู‡ Sx
312
+
313
+ 79
314
+ 00:06:52,170 --> 00:06:55,180
315
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ standard deviation of the sampleูˆ ู‡ุฐุง
316
+
317
+ 80
318
+ 00:06:55,180 --> 00:06:57,780
319
+ ุงู„ุงู† ุงู„ number of points ููŠ ุงู„ sample ุงูˆ ุนุฏุฏ
320
+
321
+ 81
322
+ 00:06:57,780 --> 00:07:02,620
323
+ ุงู„ู‚ู„ุนุงุช ููŠ ุงู„ sample ู†ุดูˆู
324
+
325
+ 82
326
+ 00:07:02,620 --> 00:07:08,420
327
+ ู…ุซุงู„ determine
328
+
329
+ 83
330
+ 00:07:08,420 --> 00:07:12,340
331
+ a 99 percent confidence interval ุงู„ confidence
332
+
333
+ 84
334
+ 00:07:12,340 --> 00:07:18,940
335
+ interval ุงู†ุฏู‡ 99% for the mean pressure calculated
336
+
337
+ 85
338
+ 00:07:18,940 --> 00:07:21,620
339
+ in the previous example
340
+
341
+ 86
342
+ 00:07:24,860 --> 00:07:26,800
343
+ ููŠ ุงู„ example of privacy ูƒุงู† ุงู„ minimum pressure
344
+
345
+ 87
346
+ 00:07:26,800 --> 00:07:35,120
347
+ ุฃูƒุชุฑ ู…ู† ู‚ูŠู…ุชู‡ ูƒุงู†ุช ุฃุฑุจุนุฉ ุฅุฐุง ูุงูƒุฑูŠู† point o o
348
+
349
+ 88
350
+ 00:07:35,120 --> 00:07:38,940
351
+ ูุงูƒุฑูŠู†ู‡ุง
352
+
353
+ 89
354
+ 00:07:38,940 --> 00:07:49,060
355
+ ู‡ุฐู‡ ู…ู† ุงู„ exam ุงู„ู„ูŠ ุงู„ูุงุช ู†ุฑุฌุน ุฑุฌูˆุน ู‡ูŠุง ุงู„ main
356
+
357
+ 90
358
+ 00:07:49,060 --> 00:07:54,940
359
+ ูƒุงู†ุช ู‡ูŠุง ุฃุฑุจุนุฉ point o o ุณุจุนุฉ ุณุจุนุฉุฃู†ุง ู…ู‚ุฑุจ ุฅู„ู‰
360
+
361
+ 91
362
+ 00:07:54,940 --> 00:08:02,500
363
+ ุฃุฑุจุนุฉ point ุฃูˆ ุชู…ุงู†ูŠุฉ ูˆ
364
+
365
+ 92
366
+ 00:08:02,500 --> 00:08:08,560
367
+ ุงู„ standard deviation ูƒุงู† ุงู„ Sx ุงู„ู„ูŠ ู‡ูŠ point ุฃูˆ
368
+
369
+ 93
370
+ 00:08:08,560 --> 00:08:13,540
371
+ ู…ูŠุฌุง
372
+
373
+ 94
374
+ 00:08:13,540 --> 00:08:14,560
375
+ ุจุณูƒุงู„
376
+
377
+ 95
378
+ 00:08:26,400 --> 00:08:28,880
379
+ ุงู„ู€ confidence interval ู„ูˆ ุญูƒูŠุช ู‡ุงูŠ ุงู„
380
+
381
+ 96
382
+ 00:08:28,880 --> 00:08:34,160
383
+ distribution ู‡ุฐุง
384
+
385
+ 97
386
+ 00:08:34,160 --> 00:08:37,980
387
+ ุงู„ z distribution ู‡ูˆ ุจูŠุญูƒูŠ ุงู„ confidence ุชุณุนุฉ
388
+
389
+ 98
390
+ 00:08:37,980 --> 00:08:45,920
391
+ ุณู†ุชูŠู† ููŠ ุงู„ู…ูŠุฉ ุชุณุนุฉ ุณู†ุชูŠู† ููŠ ุงู„ู…ุนู†ุงุชู‡ ู‡ุฐุง ุจูŠุนุทูŠู†ูŠ
392
+
393
+ 99
394
+ 00:08:45,920 --> 00:08:51,920
395
+ ู‡ูˆ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ูƒู„ู‡ุง
396
+
397
+ 100
398
+ 00:08:51,920 --> 00:08:57,250
399
+ ุงู„ู„ูŠ ู‡ูŠ ูƒู„ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ point ุชุณุนุฉ ุฏุณุนุฉุตุญุŸ ู…ุตู‡ุง ูƒู…ุŸ
400
+
401
+ 101
402
+ 00:08:57,250 --> 00:09:11,850
403
+ ู‡ุฐุง ุงู„ู…ุณุงุญุฉ point 9 9 ุนู„ู‰ 2 point 4 9 5 ูŠุนู†ูŠ ู‡ุฐุง
404
+
405
+ 102
406
+ 00:09:11,850 --> 00:09:15,670
407
+ ุงู„ู€ Z ู‡ุฐุง ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€
408
+
409
+ 103
410
+ 00:09:15,670 --> 00:09:15,850
411
+ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
412
+
413
+ 104
414
+ 00:09:15,850 --> 00:09:18,990
415
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
416
+
417
+ 105
418
+ 00:09:18,990 --> 00:09:22,570
419
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
420
+
421
+ 106
422
+ 00:09:22,570 --> 00:09:22,570
423
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
424
+
425
+ 107
426
+ 00:09:22,570 --> 00:09:22,570
427
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
428
+
429
+ 108
430
+ 00:09:22,570 --> 00:09:22,590
431
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
432
+
433
+ 109
434
+ 00:09:22,590 --> 00:09:22,590
435
+ ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z ุงู„ู€ Z
436
+
437
+ 110
438
+ 00:09:22,590 --> 00:09:22,670
439
+ ุงู„ู€ Z ุงู„ู€
440
+
441
+ 111
442
+ 00:09:45,700 --> 00:09:52,160
443
+ ู‡ุฐุง ุงู„ู…ุดูƒู„ุฉ ุงู„ูƒุชุงุจ ุฒูŠ image ูŠุนู†ูŠ ูุจุชู‚ุฏุฑุด ุชุนู…ู„ ููŠู‡
444
+
445
+ 112
446
+ 00:09:52,160 --> 00:10:06,020
447
+ search ุทูŠุจ
448
+
449
+ 113
450
+ 00:10:12,580 --> 00:10:29,220
451
+ ุงู„ุนูŠู† ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ point ุฃุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉ ุจูŠู†
452
+
453
+ 114
454
+ 00:10:29,220 --> 00:10:34,320
455
+ ู‡ุฐู‡ ูˆู‡ุฐู‡ ุตุญ
456
+
457
+ 115
458
+ 00:10:34,320 --> 00:10:39,560
459
+ ูู‡ุฐู‡
460
+
461
+ 116
462
+ 00:10:39,560 --> 00:10:45,400
463
+ ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุณุจุนุฉุชุณุนุฉ ุชู…ุงู†ูŠุฉ ุณุจุนุฉ ูŠุนู†ูŠ ู‡ุฐู‡ ู‡ุชู…ุซู„ ุงู„
464
+
465
+ 117
466
+ 00:10:45,400 --> 00:10:51,160
467
+ Z ุจุชุงุนุชู‡ุง ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ู„ุฃู†ู‡ ุฌุงูŠ ููŠ
468
+
469
+ 118
470
+ 00:10:51,160 --> 00:10:56,340
471
+ ุงู„ู…ุต ู‡ูŠ ุจูŠู† ู‡ุฐู‡ ูˆ ู‡ุฐู‡ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ
472
+
473
+ 119
474
+ 00:10:56,340 --> 00:11:06,180
475
+ ุงู„ู…ุนู†ู‰ ุงู„ Z ู‡ุชูƒูˆู† ู…ู† ุชุงุจู„ ุงุชู†ูŠู† ุงู„ Z ุชุงุน
476
+
477
+ 120
478
+ 00:11:06,180 --> 00:11:13,140
479
+ point ุงุฑุจุนุฉ ุชุณุนุฉ ุฎู…ุณุฉุจูŠุณุชูˆู‰ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ
480
+
481
+ 121
482
+ 00:11:13,140 --> 00:11:18,660
483
+ ุฎู…ุณุฉ ุงู„ู…ุนุงุฏู„ุฉ
484
+
485
+ 122
486
+ 00:11:18,660 --> 00:11:28,160
487
+ ุงู† ู‡ูŠ ุงู„ู…ูŠูˆ ูŠุนู†ูŠ
488
+
489
+ 123
490
+ 00:11:28,160 --> 00:11:32,260
491
+ ู‡ุฐุง ุงู„ term ู‡ูˆ ู†ูุณ ู‡ุฐุง ุงู„ term ู‡ุฐุง ุงู„ term ู‡ูˆ ู†ูุณ
492
+
493
+ 124
494
+ 00:11:32,260 --> 00:11:38,840
495
+ ู‡ุฐุง ุงู„ term ุจุณ ูˆุงุญุฏ ู…ูˆุฌุจ ูˆุงุญุฏ ุณุงู„ุจ ู…ุนู†ุงุชู‡ ุงู„ู…ูŠูˆ
496
+
497
+ 125
498
+ 00:11:40,190 --> 00:11:52,050
499
+ ู‡ุชุณุงูˆูŠ ุงู„ ุจูŠ ุจุงุฑ plus or minus ุฒุฏ c ุนู„ู‰ ุงุชู†ูŠู† ููŠ
500
+
501
+ 126
502
+ 00:11:52,050 --> 00:12:02,530
503
+ sx ุนู„ู‰ ุฌุฒุฑ n ุงู„ ุจูŠ ุจุงุฑ ุงู„ู„ูŠ ู‡ูŠ ุงุฑุจุนุฉ point o o
504
+
505
+ 127
506
+ 00:12:02,530 --> 00:12:07,230
507
+ ุณุจุนุฉ ูˆ ุณุจุนูŠู† ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู†ุง ุจู†ุฒุฏ ุงู„ point ุงุฑุจุนุฉ
508
+
509
+ 128
510
+ 00:12:07,230 --> 00:12:15,010
511
+ ุชุณุนุฉ ุฎู…ุณุฉุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† point ุฎู…ุณุฉ ุณุจุนุฉ ุฎู…ุณุฉ ุจุงู„
512
+
513
+ 129
514
+ 00:12:15,010 --> 00:12:20,150
515
+ standard deviation ุงู„ู„ูŠ ู‡ูˆ point ูˆุงุญุฏ ุงุฑุจุนุฉ ุนู„ู‰
516
+
517
+ 130
518
+ 00:12:20,150 --> 00:12:25,910
519
+ ุฌุฒุฑ ุงู„ู…ูŠุฉ ุตุญ ุจูŠุตูŠุฑ
520
+
521
+ 131
522
+ 00:12:25,910 --> 00:12:32,470
523
+ ุงุฑุจุนุฉ point ุงูˆ ุงูˆ ุณุจุนุฉ ุณุจุนุฉ ุฒุงุฏุฉ ูˆู†ุงู‚ุต ุงุญุณุจูˆุง ู„ูŠู‡ุง
524
+
525
+ 132
526
+ 00:12:36,610 --> 00:12:39,610
527
+ ุฒูŠ ุงู„ุงูˆู„ู‰ ู†ู‚ุต point OO36
528
+
529
+ 133
530
+ 00:12:59,360 --> 00:13:04,620
531
+ ู…ุงุดูŠ ุนู†ุฏูƒ plus ูŠุนู†ูŠ ู‡ุถูŠู plus or minus ู‡ุฐู‡ ู„ุงุญุธูˆุง
532
+
533
+ 134
534
+ 00:13:04,620 --> 00:13:09,500
535
+ ุงู†ู‡ ุงู„ ุงู„ ุงู„ main ุจูŠูƒูˆู†
536
+
537
+ 135
538
+ 00:13:09,500 --> 00:13:13,600
539
+ ุงู„ distribution ุจุชุงุนู‡ ุงู‚ุฑุจ ู…ุญุตูˆุฑ ุงูƒุชุฑ ู…ู† ุงู„ sample
540
+
541
+ 136
542
+ 00:13:13,600 --> 00:13:19,240
543
+ ูƒู„ู‡ุง ุงู„ main ุงู„ distribution of the main ุจูŠูƒูˆู†
544
+
545
+ 137
546
+ 00:13:19,240 --> 00:13:23,300
547
+ ู…ุญุตูˆุฑ ุงูƒุชุฑ ู‡ุฐู‡ ุงู„ุนูŠู†ุฉDistribution of vitamins
548
+
549
+ 138
550
+ 00:13:23,300 --> 00:13:33,680
551
+ ุญูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ู„ุฃู†
552
+
553
+ 139
554
+ 00:13:33,680 --> 00:13:38,640
555
+ ู‡ูˆ main ูุงู„ main ุจูŠูƒูˆู† ุฃู‚ุฑุจ ุจุงู„ู…ุชูˆุณุท ู…ู† ุฃูŠ ู†ู‚ุทุฉ
556
+
557
+ 140
558
+ 00:13:38,640 --> 00:13:48,620
559
+ ุฃุฎุฑู‰ ููŠ ุงู„ stamp ุจุงู„ู†ูุณู‡ุง ู„ ุงู„ true value ุทูŠุจ
560
+
561
+ 141
562
+ 00:13:48,620 --> 00:13:50,140
563
+ ุงู„ู„ูŠ ุฃู†ุง ู‡ู†ูƒู…ู„
564
+
565
+ 142
566
+ 00:13:56,750 --> 00:14:00,910
567
+ confidence intervals for small samples small
568
+
569
+ 143
570
+ 00:14:00,910 --> 00:14:05,510
571
+ sample ุงุญู†ุง ุจู†ุนุชุจุฑ ุงุฐุง ุงู„ sample ูƒุงู† ุนุฏุฏ ุงู„ู‚ุฑุงุนุงุช
572
+
573
+ 144
574
+ 00:14:05,510 --> 00:14:09,830
575
+ ุงูƒุชุฑ ู…ู† ุชู„ุงุชูŠู† ุจุนุชุจุฑู‡ุง large ุงุฐุง ุงู‚ู„ ู…ู† ุชู„ุงุชูŠู†
576
+
577
+ 145
578
+ 00:14:09,830 --> 00:14:17,530
579
+ ุจุนุชุจุฑู‡ุง small ู‡ุณุชุฎุฏู… variable ุจุณู…ูŠู‡ T ุจุณู…ูŠู‡ T
580
+
581
+ 146
582
+ 00:14:17,530 --> 00:14:22,710
583
+ distribution ู‡ูˆ ู†ู…ุฑุฉ distribution T ุจุณุชูˆู‰ X bar
584
+
585
+ 147
586
+ 00:14:22,710 --> 00:14:34,440
587
+ minus Muุนู„ู‰ SX ุนู„ู‰ ุฌุฒุฑ N ุทุจุนุง
588
+
589
+ 148
590
+ 00:14:34,440 --> 00:14:43,980
591
+ ุงู„ X bar ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุนุฏุฏู‡ุง ุตุญุŸ ู…ุนู†ุงุชู‡ ุงู„ X
592
+
593
+ 149
594
+ 00:14:43,980 --> 00:14:53,020
595
+ bar is a function of
596
+
597
+ 150
598
+ 00:14:53,020 --> 00:14:55,140
599
+ N ุตุญุŸ
600
+
601
+ 151
602
+ 00:14:57,260 --> 00:15:00,660
603
+ ู„ู„ู…ุฌู…ูˆุนุฉ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุนุฏ๏ฟฝ๏ฟฝู‡ุง ุงูƒูŠุฏ is a function of
604
+
605
+ 152
606
+ 00:15:00,660 --> 00:15:04,220
607
+ n ูˆู†ูุณ
608
+
609
+ 153
610
+ 00:15:04,220 --> 00:15:11,140
611
+ ุงู„ standard deviation ุงู„ Sx ุจูŠุณุชูˆู‰
612
+
613
+ 154
614
+ 00:15:11,140 --> 00:15:23,140
615
+ ู…ุฌู…ูˆุนุฉ square root ู„ู„ deviation square ุนู„ู‰ n ู†ุงู‚ุต
616
+
617
+ 155
618
+ 00:15:23,140 --> 00:15:35,180
619
+ ูˆุงุญุฏุจุฑุถู‡ ุงู„ SX ุจูŠุนุชู…ุฏ ุนู„ู‰ N ูƒู„ ู…ุง N ูƒุจุฑุช ูƒู„ ู…ุง
620
+
621
+ 156
622
+ 00:15:35,180 --> 00:15:38,480
623
+ ุงู‚ุชุฑุจุช ู…ู† ุงู„ population ูƒู„ ู…ุง ุงู‚ุชุฑุจุช ู„ู„ normal
624
+
625
+ 157
626
+ 00:15:38,480 --> 00:15:47,680
627
+ distribution ู„ุฃู† ู‡ูˆ ุนุงู…ู„ cares ุทุจุนุง ู‡ุฐุง ุจูŠุณู…ูŠ ุงู„
628
+
629
+ 158
630
+ 00:15:47,680 --> 00:15:50,280
631
+ new ู‡ูŠ degrees of freedom
632
+
633
+ 159
634
+ 00:15:55,170 --> 00:15:59,550
635
+ ู† ู…ู†ุงุณุจุฉ ูˆุงุญุฏ ู…ุงู†ุนุชู‡ ู„ู…ุง ุงุดูˆู new ูƒุงู†ู‡ุง ู† ู„ุงู† new
636
+
637
+ 160
638
+ 00:15:59,550 --> 00:16:07,170
639
+ ุณูˆุงุก ู† ู†ุงู‚ุต ูˆุงุญุฏ ูŠุนู†ูŠ ู„ู…ุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุชูŠู† ู‡ุนู†ุฏูŠ
640
+
641
+ 161
642
+ 00:16:07,170 --> 00:16:11,410
643
+ ุญู‚ ุงู„ูƒูŠุฑูˆู distribution ู„ู…ุง ูƒุงู† ุนู†ุฏูŠ ู‚ุฑุงุกุชูŠู† ู‡ุนู†ุฏูŠ
644
+
645
+ 162
646
+ 00:16:11,410 --> 00:16:18,290
647
+ ู…ุซู„ุง ุณุช ู‚ุฑุงุกุงุช ู‡ุนู†ุฏูŠ ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุงู„ุขู† ู„ู…ุง
648
+
649
+ 163
650
+ 00:16:18,290 --> 00:16:20,450
651
+ ุฃุตุจุญ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ูƒุจูŠุฑ ุจู‚ุชุฑุจ ู…ู† ุงู„ normal
652
+
653
+ 164
654
+ 00:16:20,450 --> 00:16:25,260
655
+ distributionููƒู„ ู…ุง ุฒุงุฏ ุงู„ degrees of freedom ู„ู„ุนุฏุฏ
656
+
657
+ 165
658
+ 00:16:25,260 --> 00:16:29,300
659
+ ุงู„ู‚ุฑุงุกุงุช ูƒู„ ู…ุง ุงู‚ุชุฑุจ ู…ู† ุงู„ normal distribution ู‡ุงูŠ
660
+
661
+ 166
662
+ 00:16:29,300 --> 00:16:36,580
663
+ ููƒุฑุฉ ุงู„ T distribution ุนุงุฏุฉ
664
+
665
+ 167
666
+ 00:16:36,580 --> 00:16:40,760
667
+ for T .. for N ุฃูƒุจุฑ ู…ู† ุชู„ุงุชูŠู† ุงู„ T distribution ูˆ
668
+
669
+ 168
670
+ 00:16:40,760 --> 00:16:45,540
671
+ normal distribution ุจูŠูƒูˆู†ูˆุง identical ุงู„ normal
672
+
673
+ 169
674
+ 00:16:45,540 --> 00:16:48,000
675
+ distribution ูŠุนู†ูŠ ุจุดูƒู„ ุนุงู… ุจูŠูุชุฑุถ ุงู†ู‡ ุนู†ุฏู‡
676
+
677
+ 170
678
+ 00:16:48,000 --> 00:16:50,560
679
+ infinite number ุงูˆ ุนุฏุฏ ูƒุจูŠุฑ ุฌุฏุง ู…ู† ุงู„ู‚ุฑุงุกุงุช
680
+
681
+ 171
682
+ 00:16:54,420 --> 00:16:58,400
683
+ ุจูŠุณู…ูˆ ู‡ุฐุง ุงู„ .. ุจูŠุณู…ูˆ ุงู„ students T distribution
684
+
685
+ 172
686
+ 00:16:58,400 --> 00:17:08,180
687
+ ุงู„ุขู† ููŠ ุทุฑูŠู‚ุฉ ุญุณุงุจ ุงู„ distribution ู„ู…ุง ุงุญูƒูŠ ุงู„ T
688
+
689
+ 173
690
+ 00:17:08,180 --> 00:17:14,760
691
+ alpha T alpha ุจูŠุญุณุจุด
692
+
693
+ 174
694
+ 00:17:14,760 --> 00:17:16,940
695
+ ุงู„ area ู…ุซู„ุง ู„ูˆ ุงุญู†ุง .. ุงุญู†ุง confidence level ู„ูˆ
696
+
697
+ 175
698
+ 00:17:16,940 --> 00:17:20,760
699
+ ูƒู†ุง ุจุญูƒูŠ ู…ุซู„ุง confidence ุฎู…ุณูŠุฉ ููŠ ุงู„ู…ูŠุฉ ูƒู†ุง ู†ุงุฎุฏ
700
+
701
+ 176
702
+ 00:17:20,760 --> 00:17:24,460
703
+ ุฎู…ุณูŠุฉ ููŠ ุงู„ู…ูŠุฉ ู†ู‚ุณู…ู‡ุง ุนู„ู‰ ุงุชู†ูŠู†ูˆ ู†ุงุฎุฏ ุงู„ area in
704
+
705
+ 177
706
+ 00:17:24,460 --> 00:17:30,280
707
+ between ู„ุฃ ู„ู…ุง ุงุญูƒูŠ alpha if I'm one sided ุจุงุฎุฏ ุงู„
708
+
709
+ 178
710
+ 00:17:30,280 --> 00:17:35,520
711
+ reject area ู‡ูˆ ุจุงุฎุฏ ุงู„ reject area ูŠุนู†ูŠ ุงู„ู…ุณุงุญุฉ
712
+
713
+ 179
714
+ 00:17:35,520 --> 00:17:45,140
715
+ ู‡ุฐู‡ ุทุจุนุง ุงู„ .. ุงู„ .. ุงู„ area ู‡ุฐู‡ is a function of
716
+
717
+ 180
718
+ 00:17:45,140 --> 00:17:48,560
719
+ ุงู„
720
+
721
+ 181
722
+ 00:17:48,560 --> 00:17:53,040
723
+ degree of freedom ุนุฏุฏ ุงู„ู‚ุฑุงุฑุงุช ู…ุงุดูŠูุงู†ุง ุจุชุงุนูŠ ู‡ู†ุง
724
+
725
+ 182
726
+ 00:17:53,040 --> 00:18:02,860
727
+ ู‡ูƒูˆู† ุนู†ุฏู‰ T Alpha Area ุจูŠู† Alpha ูˆ T ุทูŠุจ
728
+
729
+ 183
730
+ 00:18:02,860 --> 00:18:06,920
731
+ ู„ุฅู† ูุงู†ุฏูŠ one sided confidence interval ูˆุงู†ุฏูŠ two
732
+
733
+ 184
734
+ 00:18:06,920 --> 00:18:09,640
735
+ sided confidence interval ู‡ุฐุง ุงูŠู‡ one sided
736
+
737
+ 185
738
+ 00:18:09,640 --> 00:18:12,760
739
+ confidence interval ูŠุนู†ูŠ ูƒู„ ุงู„ู‚ูŠุงู… ุงู„ุฃูƒุจุฑ ู…ู† T
740
+
741
+ 186
742
+ 00:18:12,760 --> 00:18:20,620
743
+ Alpha ุงูŠุด ู…ุงู„ู‡ุง ู…ู‚ุจูˆู„ุฉ ูˆู„ุง ู…ุฑููˆุถุฉ ู…ุฑููˆุถุฉ ุงู„ area
744
+
745
+ 187
746
+ 00:18:20,620 --> 00:18:26,750
747
+ ู‡ุฐุง ุงูŠุด ุจุชู…ุซู„ุงู„ุงุญุชู…ุงู„ ุชุงุนุฉ ู…ุซู„ุง ูƒู„ ู‚ูŠู…ุฉ ู‚ูŠู…ุชู‡ุง
748
+
749
+ 188
750
+ 00:18:26,750 --> 00:18:32,350
751
+ ุงูƒุชุฑ ู…ู† T Alpha ู…ุซู„ุง ุจุชุจุชุฏ 5% ูŠุนู†ูŠ 5% ู…ู† ุงู„ู‚ุฑุงุกุงุช
752
+
753
+ 189
754
+ 00:18:32,350 --> 00:18:38,930
755
+ ู‡ูƒูˆู† out of range ุงู„ confidence ุงูƒู… ู‡ูƒูˆู† 95% ูˆุงุญุฏ
756
+
757
+ 190
758
+ 00:18:38,930 --> 00:18:44,710
759
+ ู†ู‚ุต ุงู„ู…ูŠุฉ ุฎู…ุณ ุงูŠู‡ ููŠ two
760
+
761
+ 191
762
+ 00:18:44,710 --> 00:18:48,510
763
+ sided ู‡ู†ุง
764
+
765
+ 192
766
+ 00:18:48,510 --> 00:18:49,850
767
+ ุงู„ two sided confidence
768
+
769
+ 193
770
+ 00:18:56,950 --> 00:19:06,110
771
+ ุนู†ุฏูŠ ุงู„ two-sided confidence ุนู†ุฏูŠ
772
+
773
+ 194
774
+ 00:19:06,110 --> 00:19:13,110
775
+ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆู‡ุงุฏูŠ minus T ุงู„ู
776
+
777
+ 195
778
+ 00:19:13,110 --> 00:19:20,230
779
+ ุนู„ู‰ ุงุชู†ูŠู† ู‡ุงุฏูŠ
780
+
781
+ 196
782
+ 00:19:20,230 --> 00:19:24,470
783
+ ุงู„ confidence ูŠุนู†ูŠ
784
+
785
+ 197
786
+ 00:19:24,470 --> 00:19:40,370
787
+ ุนู†ุฏูŠsignificance ุงูˆ rejection ุงุฐุง
788
+
789
+ 198
790
+ 00:19:40,370 --> 00:19:45,370
791
+ ุญุทูŠุช confidence interval ุจูŠู† T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ T
792
+
793
+ 199
794
+ 00:19:45,370 --> 00:19:47,810
795
+ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† minus T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ T ุงู„ู ุนู„ู‰
796
+
797
+ 200
798
+ 00:19:47,810 --> 00:19:51,090
799
+ ุงุชู†ูŠู† ู‡ูŠูƒูˆู† ุงู„ mean
800
+
801
+ 201
802
+ 00:19:53,940 --> 00:20:00,820
803
+ ุงู„ู€ True Value ุชุชุฑุงูˆุญ ุจูŠู† ู‚ูŠู…ุฉ ุฏู†ูŠุง ูˆ ู‚ูŠู…ุฉ ุนุธู…ุฉ
804
+
805
+ 202
806
+ 00:20:00,820 --> 00:20:06,540
807
+ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ู€ Mu ุจุณุงูˆูŠ
808
+
809
+ 203
810
+ 00:20:06,540 --> 00:20:19,720
811
+ X bar plus or minus T Alpha ุนู„ู‰ 2 ู‡ูˆ ุงู„ู€ Nu ููŠ SX
812
+
813
+ 204
814
+ 00:20:19,720 --> 00:20:22,240
815
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ุชุฑุจูŠุฉ
816
+
817
+ 205
818
+ 00:20:29,980 --> 00:20:38,140
819
+ ู„ู„ุงู† ุงุฐุง ู…ุนุงูƒูŠ ู‡ู†ุง ููŠ ุนู†ุฏูŠ right
820
+
821
+ 206
822
+ 00:20:38,140 --> 00:20:42,660
823
+ -handed rejection ูŠุนู†ูŠ ูƒู„ ุงู„ู‚ูŠุงู… above this value
824
+
825
+ 207
826
+ 00:20:42,660 --> 00:20:47,600
827
+ ู…ุฑููˆุถุฉ ุงู„ุฃู‚ู„ ู…ู† ู‡ุฏูŠุงุด ู…ู‚ุจูˆู„ ููŠ left-handed
828
+
829
+ 208
830
+ 00:20:47,600 --> 00:20:52,040
831
+ rejected ู…ู‚ุจูˆู„
832
+
833
+ 209
834
+ 00:20:53,200 --> 00:20:57,900
835
+ ููŠ confidence interval ูŠุนู†ูŠ above this value ู…ุฑููˆุถ
836
+
837
+ 210
838
+ 00:20:57,900 --> 00:21:08,420
839
+ ูˆ ุฃู‚ู„ this value ู…ุฑููˆุถ in between ู…ู‚ุจูˆู„ ุงู„
840
+
841
+ 211
842
+ 00:21:08,420 --> 00:21:12,920
843
+ confidence interval ุงู„ู„ูŠ ููŠ ุงู„ู…ู†ุตุฉ ุฏูŠ defines the
844
+
845
+ 212
846
+ 00:21:12,920 --> 00:21:16,920
847
+ precision uncertainty in the value of the mean
848
+
849
+ 213
850
+ 00:21:16,920 --> 00:21:23,060
851
+ ู†ุณุจุฉ ุงู„ุฎุทูˆุฉ ููŠ ุฅูŠุดุŸ ููŠ ุงู„ .. ููŠ ุงู„ mean valueุงู„ู€
852
+
853
+ 214
854
+ 00:21:23,060 --> 00:21:25,520
855
+ Precision answered ููŠ ุงู„ู€ mean value PX ู…ูˆ ุงู„ุทุงูˆู„ุฉ
856
+
857
+ 215
858
+ 00:21:25,520 --> 00:21:29,360
859
+ ู„ู„ุฃู‚ุตู‰ ุงู„ู€ T ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† ูˆ ุงู„ U ุจ S X ุนู„ู‰ ุฌุฒุฑ
860
+
861
+ 216
862
+ 00:21:29,360 --> 00:21:34,960
863
+ ุชุฑุจูŠุนูŠ ู„ N ูˆ ุงู„ T ู„ูŠู‡ X bar minus Mu ุนู„ู‰ S X ุงู„ุฌุฒุฑ
864
+
865
+ 217
866
+ 00:21:34,960 --> 00:21:39,560
867
+ ุชุฑุจูŠุนูŠ ู„ู„ N ู†ุดูˆู ู…ุซุงู„
868
+
869
+ 218
870
+ 00:21:49,380 --> 00:21:53,340
871
+ 12 values in a sample have an average of x bar
872
+
873
+ 219
874
+ 00:21:53,340 --> 00:22:00,280
875
+ ุงู„ุฃู† ุนู†ุฏูŠ ุฃูƒู… 12 ุงู„ุฃู† ู…ุนู†ุงุชู‡
876
+
877
+ 220
878
+ 00:22:00,280 --> 00:22:09,940
879
+ degrees of freedom ุฃูƒู… ุชุณุงูˆูŠ ุงู„ุฃุชู†ุงุดุฑ
880
+
881
+ 221
882
+ 00:22:09,940 --> 00:22:16,560
883
+ ูƒุฑู‡ ุฃูƒุงู†ู‡ู… average value x bar ูˆูŠู„ู‡ู…
884
+
885
+ 222
886
+ 00:22:16,560 --> 00:22:18,840
887
+ standard deviation Sx
888
+
889
+ 223
890
+ 00:22:21,490 --> 00:22:25,850
891
+ what is the ninety-five percent confidence
892
+
893
+ 224
894
+ 00:22:25,850 --> 00:22:36,070
895
+ interval c 95% for the true mean value ู†ุฑุฌุน ู„ู‡ุฐู‡
896
+
897
+ 225
898
+ 00:22:36,070 --> 00:22:40,350
899
+ ู„ุฃู†
900
+
901
+ 226
902
+ 00:22:40,350 --> 00:22:46,070
903
+ ุงู„ุนุฏุฏ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution ู„ุฃู†
904
+
905
+ 227
906
+ 00:22:46,070 --> 00:22:49,370
907
+ ุงู„ุนุฏุฏ ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution
908
+
909
+ 228
910
+ 00:22:52,970 --> 00:23:00,070
911
+ ุงู„ู€ Mu ุฌุงูŠุฉ ููŠ ุงู„ range ู‡ุฐุง ูŠุนู†ูŠ ุจู„ุฒู… ู†ุญุณุจ ุงู„ู€ Mu
912
+
913
+ 229
914
+ 00:23:00,070 --> 00:23:14,230
915
+ ู‡ุชูƒูˆู† ุณุงูˆุจ ู„ X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต S T Alpha ุนู„ู‰ 2 ูˆ
916
+
917
+ 230
918
+ 00:23:14,230 --> 00:23:22,720
919
+ Nu ููŠ S X ุนู„ู‰ ุฌุฒุฑ NูŠุนู†ูŠ ุจุงู„ุธุจุท ุงู† ุงุญุณุจ ุจุฏูŠ ุงุญุณุจ
920
+
921
+ 231
922
+ 00:23:22,720 --> 00:23:28,940
923
+ ุงู†ุง ุงู„ T ุงู„ Alpha ุนู†ุฏู‡ุง ูƒู…ุŸ ุนู†ุฏู‡ุง ุฏูŠ ุฎู…ุณุฉ ููŠ ุงู„ู…ูŠุฉ
924
+
925
+ 232
926
+ 00:23:28,940 --> 00:23:35,860
927
+ ,ู…ุนู†ุงุชู‡ ุงู„ Alpha ุฃูƒู… ุชุณุงูˆูŠ ู…ูŠุฉ ู†ู‚ุต ุฎู…ุณ ู†ุณูŠุงู† ุฎู…ุณุฉ
928
+
929
+ 233
930
+ 00:23:35,860 --> 00:23:41,240
931
+ ููŠ ุงู„ู…ูŠุฉ ูŠุนู†ูŠ ุชุณุงูˆูŠ point O ุฎู…ุณุฉ ุนู„ู‰ ุงุชู†ูŠู† ูŠุนู†ูŠ
932
+
933
+ 234
934
+ 00:23:41,240 --> 00:23:47,220
935
+ ุจุฏูŠ ุงุญุณุจ T ุงู„ู„ูŠ ู‡ูŠ point O ุงุชู†ูŠู† ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู
936
+
937
+ 235
938
+ 00:23:47,220 --> 00:23:56,400
939
+ ุนู„ู‰ ุงุชู†ูŠู† ุงู„ new ุฃูƒู… ุนู†ุฏูŠุงุญุฏุงุด ูƒูŠู ุฃุญุณุจู‡ุงุŸ
940
+
941
+ 236
942
+ 00:23:56,400 --> 00:24:00,960
943
+ ู‡ุงุฑูˆุญ ุนู„ู‰ table ..
944
+
945
+ 237
946
+ 00:24:00,960 --> 00:24:08,680
947
+ ู‡ุงุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ .. ู‡ุงุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ ููŠ
948
+
949
+ 238
950
+ 00:24:08,680 --> 00:24:09,200
951
+ ุงู„ูƒุชุงุจ
952
+
953
+ 239
954
+ 00:24:29,240 --> 00:24:31,760
955
+ ุฃูˆู„ุด ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ new account ุฏูŠ 11 ูุงู†ุง ุจุชู‚ุนุฏ
956
+
957
+ 240
958
+ 00:24:31,760 --> 00:24:40,580
959
+ ุนู„ู‰ ุงู„ุตู ู‡ุฐุง ุงู„ area ุนู†ุฏูŠ ุฃูƒู… ุนู†ุฏ ุงู„ T ุทุงู„ุน ู‡ู†ุง
960
+
961
+ 241
962
+ 00:24:40,580 --> 00:24:47,960
963
+ ูŠุนู†ูŠ ุงู„ T ุงู„ point O 2 5 ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ T ุงู„ู„ูŠ ู‡ูŠ
964
+
965
+ 242
966
+ 00:24:47,960 --> 00:24:53,680
967
+ ู‡ุชูƒูˆู† 2 point 2 O 1 ุงุชู†ูŠู†
968
+
969
+ 243
970
+ 00:24:53,680 --> 00:24:55,940
971
+ ู‡ุฐู‡
972
+
973
+ 244
974
+ 00:25:06,540 --> 00:25:11,680
975
+ ุชูƒูˆู† ุณูˆุงุก x bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูŠ ุงุชู†ูŠู† point
976
+
977
+ 245
978
+ 00:25:11,680 --> 00:25:24,860
979
+ ุงุชู†ูŠู† ุงูˆ ูˆุงุญุฏ ููŠ Sx ุนู„ู‰ ุฌุฒุฑ ุงู„ุงุชู†ุงุด ูุงู†ุง
980
+
981
+ 246
982
+ 00:25:24,860 --> 00:25:28,350
983
+ ุจุชู‚ูˆู„ ุงู†ูŠ ู‡ูƒูˆู† ููŠ ุงู„ range ู‡ุฐุงุทุจุนุง ู‡ู… ู…ุด ู…ุนุงู‚ูŠู†
984
+
985
+ 247
986
+ 00:25:28,350 --> 00:25:35,030
987
+ ุงู„ู‚ุฑุงุกุงุช ุนุดุงู† ุงุญุณุจ ุงู„ Sx ูˆ ุงู„ X bar ูุจุชุจุนุฏ ู†ุธุฑู‰
988
+
989
+ 248
990
+ 00:25:35,030 --> 00:25:41,770
991
+ ู‚ูŠู…ุฉ ุงู„ X bar ูˆ ุงู„ Sx ู‡ุชูƒูˆู† ุงู„ ู…ูŠูˆ ููŠ ุงู„ range ู‡ุฐุง
992
+
993
+ 249
994
+ 00:25:41,770 --> 00:25:51,210
995
+ ุงู„ู„ูŠ
996
+
997
+ 250
998
+ 00:25:51,210 --> 00:25:55,730
999
+ ุฅูŠุดุŸ
1000
+
1001
+ 251
1002
+ 00:26:08,880 --> 00:26:12,500
1003
+ ุฅุฐุง ูƒุงู†ุช ุงู„ sample ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ููŠ ุงู„ุชุฌุงุฑุจ ุจุชุงุนุชูƒ
1004
+
1005
+ 252
1006
+ 00:26:12,500 --> 00:26:17,320
1007
+ ุฃูƒุจุฑ ุฃูˆูŠ ุณูˆู‰ ุชู„ุงุชูŠู† ุชุนุชุจุฑ large sample
1008
+
1009
+ 253
1010
+ 00:26:18,600 --> 00:26:23,820
1011
+ ุฅุฐุง ูƒุงู†ุช ุฃู‚ู„ ู…ู† ุชู„ุงุชูŠู† small sample ููŠ ุญุงู„ุฉ ุฃู‚ู„ ู…ู†
1012
+
1013
+ 254
1014
+ 00:26:23,820 --> 00:26:27,400
1015
+ ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„ T distribution ุฒูŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ T
1016
+
1017
+ 255
1018
+ 00:26:27,400 --> 00:26:34,100
1019
+ distribution ููŠ ุญุงู„ุฉ ูƒุงู†ุช ุฃูƒุจุฑ ู…ู† ุชู„ุงุชูŠู† ุจุณุชุฎุฏู… ุงู„
1020
+
1021
+ 256
1022
+ 00:26:34,100 --> 00:26:39,280
1023
+ Z distribution ุงู„ Z distribution ู‡ุงูŠ ุงู„ูุฑู‚ ุจูŠู†ู‡ุง
1024
+
1025
+ 257
1026
+ 00:26:39,280 --> 00:26:44,740
1027
+ ุงู„ Z distribution ู‡ูˆ ุชู‚ุจู„ ุงุชู†ูŠู†ูˆ ุงู„ C distribution
1028
+
1029
+ 258
1030
+ 00:26:44,740 --> 00:26:48,660
1031
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ T distribution ุงู„ู„ูŠ ู‡ูˆ ุงู„ table ุฎู…ุณุฉ ููŠ
1032
+
1033
+ 259
1034
+ 00:26:48,660 --> 00:26:50,380
1035
+ ุงู„ C distribution ุจูŠุทูŠู„ูƒ ุงู„ area ุจุชุงุนุฉ ุงู„
1036
+
1037
+ 260
1038
+ 00:26:50,380 --> 00:26:54,620
1039
+ confidence ููŠ ุงู„ T distribution ุจูŠุทูŠู„ูƒ ุงู„ area
1040
+
1041
+ 261
1042
+ 00:26:54,620 --> 00:26:58,400
1043
+ ุจุชุงุนุฉ ุงู„ significance ุงูˆ ุงู„ rejection ู‡ุฐู‡ ุงู„ูุงุฑู‚ุฉ
1044
+
1045
+ 262
1046
+ 00:26:58,400 --> 00:27:10,480
1047
+ ุญุฏ ู…ุซุงู„ ู‡ู†ู‚ุฑุฃ ุงู„ู…ุซู„ุฉ ู…ู„ุฎุตุฉ assemble
1048
+
1049
+ 263
1050
+ 00:27:10,480 --> 00:27:12,220
1051
+ postal scale
1052
+
1053
+ 264
1054
+ 00:27:15,800 --> 00:27:20,800
1055
+ ู…ูŠุฒุงู† ุงุณุชุฎุฏู… ููŠ ู…ูƒุงุชุจ ุงู„ุจุฑูŠุฏ ู…ูŠุฒุงู† ุงุณุชุฎุฏู… ููŠ ู…ูƒุงุชุจ
1056
+
1057
+ 265
1058
+ 00:27:20,800 --> 00:27:25,680
1059
+ ุงู„ุจุฑูŠุฏ of the equal arm balance ูŠุนู†ูŠ ุฒูŠ ุงู„ู…ูŠุฒุงู†
1060
+
1061
+ 266
1062
+ 00:27:25,680 --> 00:27:29,080
1063
+ ุงู„ุชู‚ู„ูŠุฏูŠ ุงู„ุนุงุฏู‰ ุจุชุญุท ูˆุฒู† ู‡ู†ุง ูˆ ูˆุฒู† ุนู„ู‰ ุฌุจุงู„ู‡ ุจุชุญุท
1064
+
1065
+ 267
1066
+ 00:27:29,080 --> 00:27:32,840
1067
+ ุฃูˆุฒุงู† with
1068
+
1069
+ 268
1070
+ 00:27:32,840 --> 00:27:40,700
1071
+ ุงู„ู…ูˆุงุฒูŠู† ุนู†ุฏู‡ ู†ุต ูˆูˆุงุญุฏ ูˆุงุชู†ูŠู† ูˆุงุฑุจุนุฉ ูˆุงู†ุตุฉ ู‡ูŠ
1072
+
1073
+ 269
1074
+ 00:27:40,700 --> 00:27:45,630
1075
+ ุงู„ุฃูˆุฒุงู† ุงู„ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู‡machined brass weights
1076
+
1077
+ 270
1078
+ 00:27:45,630 --> 00:27:52,470
1079
+ ู…ุตุทู„ุนูŠู† ู…ู† ุงู„ุจุฑุงุณ ุงู„ู…ุงุฏุฉ ู…ู† ุงู„ุจุฑุงุณ for a quality
1080
+
1081
+ 271
1082
+ 00:27:52,470 --> 00:27:57,830
1083
+ check ุจูŠุชุฃูƒุฏูˆุง ุจูŠุนู…ู„ ูุญุต ุฌูˆุฏุฉ the manufacturer
1084
+
1085
+ 272
1086
+ 00:27:57,830 --> 00:28:04,270
1087
+ ุงู„ู…ุตู†ุน ู„ู„ู…ูˆุงุฒูŠู†ุฉ ุฏูŠ randomly selects a sample of
1088
+
1089
+ 273
1090
+ 00:28:04,270 --> 00:28:10,190
1091
+ fourteen ุฃุฎุฏ ุนูŠู†ุฉ ุงุฑุจุนุชุงุดุฑ ูƒุชู„ุฉ ู…ู† ุงู„ู„ูŠ ูˆุฒู†ู‡ุง ูˆุงุญุฏ
1092
+
1093
+ 274
1094
+ 00:28:10,190 --> 00:28:15,020
1095
+ ู‚ูˆุฒุฉูˆุงุฎุฏ .. ู…ุงุฎุฏุด .. ุงุฎุฏ ุจุณ ุงู„ูˆุงุญุฏ ุงูˆุฒ ู‡ูˆ ุจุตู†ุน
1096
+
1097
+ 275
1098
+ 00:28:15,020 --> 00:28:21,180
1099
+ ู…ูˆุงุฒูŠู† ุงูƒูŠุฏ ุจุตู†ุน ุงู„ูƒุชู„ ู‡ุฐู‡ ูู‡ูˆ ุงุฎุฏ ุงุฑุจุนุชุงุดุฑ ุนูŠู†ุฉ
1100
+
1101
+ 276
1102
+ 00:28:21,180 --> 00:28:26,860
1103
+ ุงู„ูƒุชู„ู‡ุง .. ู‚ูŠู…ุฉ ุงู„ูƒุชู„ ุจุชุงุนุชู‡ุง ูˆุงุญุฏ ุงูˆุฒ and weighs
1104
+
1105
+ 277
1106
+ 00:28:26,860 --> 00:28:30,540
1107
+ them on a precision scale ุงุณุชุฎุฏู… ู…ูŠุฒุงู† ุญุณุงุณ ูˆุตุงุฑ
1108
+
1109
+ 278
1110
+ 00:28:30,540 --> 00:28:37,740
1111
+ ูŠูˆุฒู†ู‡ู… ูŠุนู†ูŠ ุงุฎุฏ ุงุฑุจุนุชุงุดุฑ ู‚ุทุนุฉ ูˆูˆุฒู†ู‡ู… ูƒู„ ู‚ุทุนุฉ ุนู„ู‰
1112
+
1113
+ 279
1114
+ 00:28:37,740 --> 00:28:49,790
1115
+ ุญุฏุฉ ุนู„ู‰ ู…ูŠุฒุงู† ุญุณุงุณุงู„ู†ุชุงุฌ ูƒุงู† ุนู†ุฏู‡ ู„ู…ุง ูˆุฒู†ู‡ ุนุฒุงู†
1116
+
1117
+ 280
1118
+ 00:28:49,790 --> 00:28:56,250
1119
+ ุญุณุงุณ ุฎู†ูŠุชู‡ ุงู„ู‚ุฑุงุฉ ุนู„ู‰ ุฌุงู†ุจ ุนู†ุฏูŠ one point oh
1120
+
1121
+ 281
1122
+ 00:28:56,250 --> 00:29:08,050
1123
+ ุชู…ุงู†ูŠุฉ one point oh ูˆุงุญุฏ point ุชุณุนุฉ ุณุจุนุฉ ูˆุงุญุฏ
1124
+
1125
+ 282
1126
+ 00:29:08,050 --> 00:29:09,110
1127
+ point oh ุชู„ุงุชุฉ
1128
+
1129
+ 283
1130
+ 00:29:11,930 --> 00:29:21,430
1131
+ ุจู†ุช ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ุจู†ุช ุง ุง ุจู†ุช ุชุณุนุฉ ุณุชุฉ ุจู†ุช ุชุณุนุฉ
1132
+
1133
+ 284
1134
+ 00:29:21,430 --> 00:29:30,310
1135
+ ุชุณุนุฉ ุจู†ุช ุชุณุนุฉ ุชู…ุงู†ูŠุฉ ูˆุงุญุฏ ุจู†ุช ุง ุฎู…ุณุฉ ูˆุงุญุฏ ุจู†ุช ุง
1136
+
1137
+ 285
1138
+ 00:29:30,310 --> 00:29:34,030
1139
+ ูˆุงุญุฏ ูˆุงุญุฏ ุจู†ุช ุง
1140
+
1141
+ 286
1142
+ 00:29:37,210 --> 00:29:44,410
1143
+ ุงุฑุจุนุฉ ูˆุงุญุฏ point ุงูˆ ุชู…ุงู†ูŠุฉ ู‡ู†ุง
1144
+
1145
+ 287
1146
+ 00:29:44,410 --> 00:29:48,330
1147
+ ู…ุด
1148
+
1149
+ 288
1150
+ 00:29:48,330 --> 00:29:53,530
1151
+ ู…ุดูƒู„ุฉ ุงูŠ point ุชุณุนุฉ ุฎู…ุณุฉ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุงุฑุจุนุฉ
1152
+
1153
+ 289
1154
+ 00:29:53,530 --> 00:29:56,750
1155
+ ุฎู…ุณุฉ ุณุชุฉ ุณุจุนุฉ ุชู…ุงู†ูŠุฉ ุชุณุนุฉ ุนุดุฑ ุงุญุฏุงุดุฑ ุงุชู†ุงุดุฑ ุงุชุงุดุฑ
1156
+
1157
+ 290
1158
+ 00:29:56,750 --> 00:30:01,290
1159
+ ุงุฑุจุนุชุงุดุฑ ุงู„ู‚ุฑุงุกุฉ based
1160
+
1161
+ 291
1162
+ 00:30:01,290 --> 00:30:04,950
1163
+ on this sum ุจู†ุงุก ุนู„ู‰ ู‡ุฐู‡ ุงู„ุนูŠู†ุงุช and the
1164
+
1165
+ 292
1166
+ 00:30:04,950 --> 00:30:09,270
1167
+ assumptionthat the parent population is normal
1168
+
1169
+ 293
1170
+ 00:30:09,270 --> 00:30:15,090
1171
+ ูุฑุถุช ุฃู†ู‡ ู„ูˆ ุฃุฎุฏุช ูƒู„ ุงู„ูƒุชุฉ ุงู„ูˆุฒู†ู‡ุง ูˆุงุญุฏ ุฃูˆุฒ ุงู„
1172
+
1173
+ 294
1174
+ 00:30:15,090 --> 00:30:20,350
1175
+ distribution ู‡ูŠูƒูˆู† ุทุจูŠุนูŠ ุชูˆุฒูŠุน ุทุจูŠุนูŠ what is the
1176
+
1177
+ 295
1178
+ 00:30:20,350 --> 00:30:23,290
1179
+ ninety-five percent confidence interval for the
1180
+
1181
+ 296
1182
+ 00:30:23,290 --> 00:30:26,710
1183
+ population meanุŸ ุจุฏู‡ ninety-five percent
1184
+
1185
+ 297
1186
+ 00:30:26,710 --> 00:30:30,670
1187
+ confidence interval ู„ู„ู…ูŠู†
1188
+
1189
+ 298
1190
+ 00:30:34,770 --> 00:30:39,610
1191
+ ุฃูˆู„ ุดูŠ ู†ุนู… ุงูŠุด ูˆุญุฏุฉ ุงู„ู‚ูŠุงุณุฉ ุฏูŠ ุงูˆุฒุŸ ุงูˆุฒ ู‚ู†ุต ู‡ุฐู‡
1192
+
1193
+ 299
1194
+ 00:30:39,610 --> 00:30:43,290
1195
+ ุงุญุฏ ู‚ูŠุงุณ ุงู„ .. ุงู„ .. ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุทู„ุน ุนู„ูŠู‡ุง
1196
+
1197
+ 300
1198
+ 00:30:43,290 --> 00:30:47,550
1199
+ ูˆุดูˆู ุฅูŠุด ู‡ูŠ ุดูˆู ูŠุง ุนู… ุงู„ conversion ุงุฑุฌุน ุนู„ู‰ ุดู‚ุทุฑ
1200
+
1201
+ 301
1202
+ 00:30:47,550 --> 00:30:51,050
1203
+ ูˆุงุญุฏ ุญุทูŠู†ุง ุฌุฏูˆู„ ุงู„ุชุญูˆู„ุงุช ุจูŠู† ุงู„ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉ ูˆ
1204
+
1205
+ 302
1206
+ 00:30:51,050 --> 00:30:56,880
1207
+ ุงู„ูˆุญุฏุงุช ุงู„ุฅู†ุฌู„ูŠุฒูŠุฉ ุงุฑุฌุน ุดูˆู ุฅูŠุด ููŠ ุงู„ุชุญูˆู„ุงุชูˆุญุฏุฉ
1208
+
1209
+ 303
1210
+ 00:30:56,880 --> 00:31:00,520
1211
+ ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉ ุจุงู„ู†ุธุงู… ุงู„ุฅู†ุฌู„ูŠุฒูŠ ููŠ ุงู„ ons ููŠ ุงู„
1212
+
1213
+ 304
1214
+ 00:31:00,520 --> 00:31:06,360
1215
+ bound mass ููŠ ุงู„ slug ููŠ ูƒุฐุง ูˆุญุฏุฉ
1216
+
1217
+ 305
1218
+ 00:31:06,360 --> 00:31:13,740
1219
+ ุทูŠุจ
1220
+
1221
+ 306
1222
+ 00:31:13,740 --> 00:31:19,140
1223
+ ุฃูˆู„ ุดูŠ ุญุฏ
1224
+
1225
+ 307
1226
+ 00:31:19,140 --> 00:31:22,700
1227
+ small sample ูˆู„ุง large sample small sample
1228
+
1229
+ 308
1230
+ 00:31:32,560 --> 00:31:42,820
1231
+ ู…ุง ุจุฏู‰ ุงุณุชุฎุฏุงู… ุงู„ู€ T Distribution ุงู„
1232
+
1233
+ 309
1234
+ 00:31:42,820 --> 00:31:48,800
1235
+ confidence interval ุนู†ุฏู‰ 95
1236
+
1237
+ 310
1238
+ 00:31:48,800 --> 00:31:55,980
1239
+ % ู…ุนู†ุงุชู‡ ุงู„ alpha ุฃูƒู…ุŸ ุฎู…ุณุฉ ุงู„ alpha ุน ุงุชู†ูŠู† ุงู„
1240
+
1241
+ 311
1242
+ 00:31:55,980 --> 00:32:01,560
1243
+ alpha ุจุงู„ point O ุฎู…ุณุฉ ุงู„ alpha ุนู„ู‰ ุงุชู†ูŠู†
1244
+
1245
+ 312
1246
+ 00:32:05,050 --> 00:32:08,870
1247
+ ูŠุนู†ูŠ ุงู†ุง ุจุฏูŠ ู‡ุฐู‡ ุงู„ degrees of freedom ุงู†ุง ูƒู…ุงู†
1248
+
1249
+ 313
1250
+ 00:32:08,870 --> 00:32:14,590
1251
+ ุนู†ุฏูŠ ุงู„ new ุชู„ุชุงุด
1252
+
1253
+ 314
1254
+ 00:32:14,590 --> 00:32:20,810
1255
+ ุงุฑุจุนุชุงุด ู†ุงู‚ุต ูˆุงุญุฏ ุชู„ุชุงุด ู…ุนู†ุงู‡ ุชูุงุฏุน ู‡ุชูƒูˆู† T point
1256
+
1257
+ 315
1258
+ 00:32:20,810 --> 00:32:28,490
1259
+ O ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ูˆู‡ุฐู‡ minus T point O ุงุชู†ูŠู†
1260
+
1261
+ 316
1262
+ 00:32:28,490 --> 00:32:34,420
1263
+ ุฎู…ุณุฉ ูˆ ุชู„ุชุงุดุฃู†ุง ู…ู† ุงู„ุฌุฏูˆู„ ุจุทู„ุน ุงู„ู…ุณุงุญุฉ .. ุงู„ู…ุณุงุญุฉ
1264
+
1265
+ 317
1266
+ 00:32:34,420 --> 00:32:42,900
1267
+ ู‡ุงุฏุฆุฉ ุตุญุŸ ู„ูƒู† ุฃู†ุง ุจุฏูŠ ู‡ุงุฏุฆ ุทูŠุจ ู…ุนู†ุงุชู‡ ููŠ ุงู„ุฃูˆู„
1268
+
1269
+ 318
1270
+ 00:32:42,900 --> 00:32:48,820
1271
+ ู„ุงุฒู… ุฃุญุณุจ ุงู„ X bar ูŠุนู†ูŠ ุงู†ุง ุญุทุช ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุงู„
1272
+
1273
+ 319
1274
+ 00:32:48,820 --> 00:32:52,440
1275
+ Excel ุญุฏ ู†ุงุทู‚ูŠู‡ู… ุญุงู„ูŠุง ู‡ุงู„ุณุฑูŠุน
1276
+
1277
+ 320
1278
+ 00:33:06,880 --> 00:33:15,040
1279
+ ุนู†ุฏ ุงู„ X ุฃุทูˆู„
1280
+
1281
+ 321
1282
+ 00:33:15,040 --> 00:33:22,260
1283
+ ุงู„ู‚ุฑุงุกุงุช one point zero eight ุชู…ุงู†ูŠุฉ ุงูŠูˆุฉ one
1284
+
1285
+ 322
1286
+ 00:33:22,260 --> 00:33:31,960
1287
+ point zero one zero nine seven one zero three zero
1288
+
1289
+ 323
1290
+ 00:33:31,960 --> 00:33:35,780
1291
+ nine eight one zero zero
1292
+
1293
+ 324
1294
+ 00:33:40,910 --> 00:33:52,590
1295
+ 096, 099, 98, 1.05, 1.01,
1296
+
1297
+ 325
1298
+ 00:33:55,850 --> 00:33:56,950
1299
+ 1.04,
1300
+
1301
+ 326
1302
+ 00:33:59,650 --> 00:34:00,910
1303
+ 1.08
1304
+
1305
+ 327
1306
+ 00:34:40,560 --> 00:34:47,660
1307
+ ุทูŠุจ ุจุฏู‰ ุงุญุณุจ ุงู„ average value ู‡ุฏุง ู‡ุชูƒูˆู† ู…ุฌู…ูˆุนู‡ู…
1308
+
1309
+ 328
1310
+ 00:34:47,660 --> 00:34:59,260
1311
+ ุนู„ู‰ ุนุฏุฏู‡ู… ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ sum ุนู„ู‰
1312
+
1313
+ 329
1314
+ 00:34:59,260 --> 00:35:01,240
1315
+ ุงูŠู‡ุŸ ุนู„ู‰ 14
1316
+
1317
+ 330
1318
+ 00:35:05,020 --> 00:35:09,400
1319
+ ู‡ุฐุง ุงูŠุด ุงู„ .. ุงู„ X bar ู‡ุฐุง ุงู„ standard deviation
1320
+
1321
+ 331
1322
+ 00:35:09,400 --> 00:35:13,020
1323
+ standard
1324
+
1325
+ 332
1326
+ 00:35:13,020 --> 00:35:21,680
1327
+ SD STD
1328
+
1329
+ 333
1330
+ 00:35:21,680 --> 00:35:24,920
1331
+ STD STD STD STD STD STD STD STD STD STD STD STD
1332
+
1333
+ 334
1334
+ 00:35:24,920 --> 00:35:25,480
1335
+ STD STD STD STD STD STD STD STD STD STD STD STD
1336
+
1337
+ 335
1338
+ 00:35:25,480 --> 00:35:25,480
1339
+ STD STD STD STD STD STD STD STD STD STD STD STD
1340
+
1341
+ 336
1342
+ 00:35:25,480 --> 00:35:25,680
1343
+ STD STD STD STD STD STD STD STD STD STD STD STD
1344
+
1345
+ 337
1346
+ 00:35:25,680 --> 00:35:25,680
1347
+ STD STD STD STD STD STD STD STD STD STD STD STD
1348
+
1349
+ 338
1350
+ 00:35:25,680 --> 00:35:26,000
1351
+ STD STD STD STD STD STD STD STD STD STD STD STD
1352
+
1353
+ 339
1354
+ 00:35:26,000 --> 00:35:27,060
1355
+ STD STD STD STD STD STD STD STD STD STD STD STD
1356
+
1357
+ 340
1358
+ 00:35:27,060 --> 00:35:32,200
1359
+ STD STD STD STD STD STD
1360
+
1361
+ 341
1362
+ 00:35:32,200 --> 00:35:32,680
1363
+ STD STD STD STD STD STD STD STD STD STD STD STD
1364
+
1365
+ 342
1366
+ 00:35:32,680 --> 00:35:40,340
1367
+ STDุฃุญู†ุง ุณุงู…ุจู„ ู‡ู†ุงุฎุฏ ุจูŠุฎุชู„ููˆุง ุนู† ุจุนุถ ู‡ุฐู‡ ุณุงู…ุจู„
1368
+
1369
+ 343
1370
+ 00:35:40,340 --> 00:35:46,220
1371
+ ู„ู„ู‚ุฑุงุกุงุช ู‡ุฏูˆู„ ู„ุญุงู„ู‡ ูˆ ุจูŠุญุณุจ ุงู„ deviations ูˆ ูƒู„ ุดูŠ
1372
+
1373
+ 344
1374
+ 00:35:46,220 --> 00:35:51,140
1375
+ ู„ุญุงู„ู‡ ูุจุทู„ุน
1376
+
1377
+ 345
1378
+ 00:35:51,140 --> 00:35:56,240
1379
+ ุนู†ุฏ ู‡ู†ุง ุงู„ X bar
1380
+
1381
+ 346
1382
+ 00:36:03,220 --> 00:36:14,780
1383
+ ุทู„ุน one point oh ูˆุงุญุฏ ูˆ ุงู„ Sx point oh four point
1384
+
1385
+ 347
1386
+ 00:36:14,780 --> 00:36:26,980
1387
+ oh four ู‡ูˆ
1388
+
1389
+ 348
1390
+ 00:36:26,980 --> 00:36:29,640
1391
+ ู‡ูˆ ุงู„ู…ูุฑูˆุถ ู†ุนู…ู„ู‡ุง point oh four
1392
+
1393
+ 349
1394
+ 00:36:33,510 --> 00:36:36,330
1395
+ ู‡ูˆ ู…ู†ู‡ุง significant figures ู…ุด ุนุงู…ู„ู‡ุง ุตุญ ุนุดุงู† ุชู„ูˆู…
1396
+
1397
+ 350
1398
+ 00:36:36,330 --> 00:36:45,450
1399
+ ููŠ ุงู„ุตูˆุฑุฉ ุทูŠุจ ุงู„ุงู† ุงู†ุง ุนู†ุฏูŠ ุงู„ V ุชู„ุชุงุด ูˆ ุงู„ ุงู„ู
1400
+
1401
+ 351
1402
+ 00:36:45,450 --> 00:36:51,510
1403
+ ุนู„ู‰ ุงุชู†ูŠู† point ุงุชู†ูŠู† ุฎู…ุณุฉ ุจุฑูˆุญ ุนู„ู‰ table ุฎู…ุณุฉ ู‡ุงูŠ
1404
+
1405
+ 352
1406
+ 00:36:51,510 --> 00:36:59,110
1407
+ ุงู„ table ุฎู…ุณุฉ ุงู„ significant ุนู†ุฏูŠ ุงูŠุด point ุงุชู†ูŠู†
1408
+
1409
+ 353
1410
+ 00:36:59,110 --> 00:37:05,360
1411
+ ุฎู…ุณุฉ ูˆ ุนู†ุฏูŠ ู‡ุฐู‡ ุชู„ุชุงุดุงู„ู€ T point O ุชู†ูŠู† ุฎู…ุณุฉ ูˆ
1412
+
1413
+ 354
1414
+ 00:37:05,360 --> 00:37:13,460
1415
+ ุชู„ุชุงุด ุงุชู†ูŠู† point ุณุชุงุด ุงู„ T ุงู„
1416
+
1417
+ 355
1418
+ 00:37:13,460 --> 00:37:20,720
1419
+ T point O ุงุชู†ูŠู† ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ุงุชู†ูŠู† point ุณุชุงุด
1420
+
1421
+ 356
1422
+ 00:37:34,450 --> 00:37:38,210
1423
+ ุทูŠุจ ู…ุนู†ุงุชู‡ ุงู†ุง ุนู†ุฏูŠ two sided confidence interval
1424
+
1425
+ 357
1426
+ 00:37:38,210 --> 00:37:43,230
1427
+ ู‡ูŠ two sided ุงู„ confidence interval ู‡ูŠูƒูˆู† ุนู†ุฏูŠ
1428
+
1429
+ 358
1430
+ 00:37:43,230 --> 00:37:46,250
1431
+ ุงู„ู…ูŠูˆ
1432
+
1433
+ 359
1434
+ 00:37:46,250 --> 00:37:57,750
1435
+ ุจูŠุณูˆุง X bar ุฒุงุฏ ุงูˆ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูŠ T point O ุงุชู†ูŠู†
1436
+
1437
+ 360
1438
+ 00:37:57,750 --> 00:38:06,810
1439
+ ุฎู…ุณุฉ ูˆ ุชู„ุชุงุดุณูƒุณ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงู† ูŠุนู†ูŠ ุงู†ุง ู‡ูƒูˆู† ุนู†ุฏ
1440
+
1441
+ 361
1442
+ 00:38:06,810 --> 00:38:19,150
1443
+ ุงุชู†ูŠู† ุฒุงุฏุฉ ูˆู†ุงู‚ุต ุงุชู†ูŠู† point ๏ฟฝ๏ฟฝุชุงุด ููŠ ุงู„ ุณูƒุณ point
1444
+
1445
+ 362
1446
+ 00:38:19,150 --> 00:38:22,730
1447
+ ุงูˆ ุงุฑุจุน
1448
+
1449
+ 363
1450
+ 00:38:22,730 --> 00:38:27,870
1451
+ ุนู„ู‰ ุฌุฒุฑ ุงู„ุงุฑุจุนุชุงุด
1452
+
1453
+ 364
1454
+ 00:38:29,270 --> 00:38:36,830
1455
+ ุงู„ู€ X bar ุงูƒุซุฑ ู…ู† X bar ุงู†ุฏูŠ 1.O1 ูŠุนู†ูŠ ุงู„ู…ูŠูˆ ุณุชูƒูˆู†
1456
+
1457
+ 365
1458
+ 00:38:36,830 --> 00:38:52,270
1459
+ ุชุณุงูˆูŠ 1.O9 ุฒุงุฏ ุงูˆ ู†ุงู‚ุต .O ูŠุนู†ูŠ
1460
+
1461
+ 366
1462
+ 00:38:52,270 --> 00:38:56,170
1463
+ ุงู„ true mean value ุทุจู‚ุง ู„ู‡ุฐุง ุงู„ุชุฌุฑุจุฉ ุณุชูƒูˆู† ูˆุงู‚ุนู‰
1464
+
1465
+ 367
1466
+ 00:38:56,170 --> 00:39:04,900
1467
+ ููŠ ุงู„ range ู‡ุฐุงwith 95% confidence ูŠุนู†ูŠ ุงู†ุง ู…ุชุฃูƒุฏ
1468
+
1469
+ 368
1470
+ 00:39:04,900 --> 00:39:14,260
1471
+ ุจุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 95% ุจุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 95% ุทูŠุจ ู„ูˆ ู†ุฌุฑุจ ู†ุฎู„ูŠ
1472
+
1473
+ 369
1474
+ 00:39:14,260 --> 00:39:23,240
1475
+ ุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 99% ุฎู„ูŠ ุฏุฑุฌุฉ ุงู„ุชุฃูƒุฏ 99% ู†ูุณ ุงู„ู…ุณุฃู„ุฉ ุฏูŠ
1476
+
1477
+ 370
1478
+ 00:39:23,240 --> 00:39:30,380
1479
+ ู‡ู†ุญูƒูŠ ู‡ู†ุทู„ุน ุงู„ุชุฃูƒุฏ 99%ุงู„ู ู‡ุชูƒูˆู† ุงูƒู… point O ูˆุงุญุฏ
1480
+
1481
+ 371
1482
+ 00:39:30,380 --> 00:39:44,160
1483
+ ุตุญ point O ูˆุงุญุฏ ูŠุนู†ูŠ ุงู„ู ุนู„ู‰ ุงุชู†ูŠู† point O O ุฎู…ุณุฉ
1484
+
1485
+ 372
1486
+ 00:39:44,160 --> 00:39:53,200
1487
+ ู…ุนู†ุงุชู‡ ุงู„ T point O O ุฎู…ุณุฉ ูˆ ุชู„ุชุงุด ุงูŠุด ู‡ุชุณุงูˆูŠ
1488
+
1489
+ 373
1490
+ 00:40:08,740 --> 00:40:14,900
1491
+ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1492
+
1493
+ 374
1494
+ 00:40:14,900 --> 00:40:19,700
1495
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1496
+
1497
+ 375
1498
+ 00:40:19,700 --> 00:40:21,400
1499
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ
1500
+
1501
+ 376
1502
+ 00:40:21,400 --> 00:40:21,400
1503
+ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด
1504
+
1505
+ 377
1506
+ 00:40:21,400 --> 00:40:21,400
1507
+ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1508
+
1509
+ 378
1510
+ 00:40:21,400 --> 00:40:21,400
1511
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ
1512
+
1513
+ 379
1514
+ 00:40:21,400 --> 00:40:21,400
1515
+ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด
1516
+
1517
+ 380
1518
+ 00:40:21,400 --> 00:40:24,560
1519
+ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1520
+
1521
+ 381
1522
+ 00:40:24,560 --> 00:40:30,720
1523
+ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด ุชู„ุงุชุฉ
1524
+
1525
+ 382
1526
+ 00:40:33,740 --> 00:40:41,980
1527
+ ุงุญู†ุง ุจุจุณุงุทุฉ ุจู†ุญุณุจู‡ุง ูƒูŠู ู†ุถุฑุจ ุงู„ุฑู‚ู… ู‡ุฐุง ู†ู‚ุณู…ู‡ ุนู„ู‰
1528
+
1529
+ 383
1530
+ 00:40:41,980 --> 00:40:46,340
1531
+ ุงุชู†ูŠู† point ุณุชุงุด ูˆ ู†ุถุฑุจ ููŠ ุงูŠุด ุงู„ three point ุงู„
1532
+
1533
+ 384
1534
+ 00:40:46,340 --> 00:40:51,740
1535
+ three point ุงูŠู‡ ูƒู… ุถู„ู†ุง ู‡ู†ุง ุงู„ุณุช
1536
+
1537
+ 385
1538
+ 00:40:51,740 --> 00:40:58,500
1539
+ ูˆ ุนุดุฑูŠู† ุดูƒู„ุฉ ุชู„ุชุงุด ุชู„ุชุฉ point ุงูˆ ุงุชู†ุงุด ูŠุนู†ูŠ ุงู‚ุณู…ู‡
1540
+
1541
+ 386
1542
+ 00:40:58,500 --> 00:41:05,560
1543
+ ุนู„ู‰ ุงุชู†ูŠู†ุงู‚ุณู… ุนู„ู‰ ุงุชู†ูŠู† point ุณุชุงุด ููŠ ุชู„ุงุชุฉ point
1544
+
1545
+ 387
1546
+ 00:41:05,560 --> 00:41:20,940
1547
+ ุงูŠู‡ ุงูŠุด ุงุชู†ุงุด ุงุญุณุจูˆู‡ุง
1548
+
1549
+ 388
1550
+ 00:41:20,940 --> 00:41:28,240
1551
+ ุงู„ู…ู‡ู… ูƒุชูŠุฑ ุงู„ุฑู‚ู… ู‡ุฐุง ุงู‚ุณู… ู„ู„ุฑู‚ู… ู‡ุฐุง ุนู„ู‰ ุงุชู†ูŠู†
1552
+
1553
+ 389
1554
+ 00:41:28,240 --> 00:41:30,800
1555
+ point ุณุชุงุด ูˆ ุงุถุฑุจ ููŠ ุชู„ุงุชุฉ point ุงูˆ ุงุชู†ุงุด
1556
+
1557
+ 390
1558
+ 00:41:33,380 --> 00:41:46,880
1559
+ ู„ุฃู† ูƒู„ ุดูŠุก ุซุงุจุช ู…ุง ุชุบูŠุฑู‡ ุบูŠุฑ ุงู„ู€ T point zero
1560
+
1561
+ 391
1562
+ 00:41:46,880 --> 00:41:52,580
1563
+ point zero point zero point zero point zero point
1564
+
1565
+ 392
1566
+ 00:41:52,580 --> 00:41:55,160
1567
+ zero point zero point zero point zero point zero
1568
+
1569
+ 393
1570
+ 00:41:55,160 --> 00:41:55,280
1571
+ point zero point zero point zero point zero point
1572
+
1573
+ 394
1574
+ 00:41:55,280 --> 00:41:55,280
1575
+ zero point zero point zero point zero point zero
1576
+
1577
+ 395
1578
+ 00:41:55,280 --> 00:41:55,280
1579
+ point zero point zero point zero point zero point
1580
+
1581
+ 396
1582
+ 00:41:55,280 --> 00:41:55,280
1583
+ zero point zero point zero point zero point zero
1584
+
1585
+ 397
1586
+ 00:41:55,280 --> 00:41:55,280
1587
+ point zero point zero point zero point zero point
1588
+
1589
+ 398
1590
+ 00:41:55,280 --> 00:41:55,280
1591
+ zero point zero point zero point zero point zero
1592
+
1593
+ 399
1594
+ 00:41:55,280 --> 00:41:55,280
1595
+ point zero point zero point zero point zero point
1596
+
1597
+ 400
1598
+ 00:41:55,280 --> 00:41:55,280
1599
+ zero point zero point zero point zero point zero
1600
+
1601
+ 401
1602
+ 00:41:55,280 --> 00:41:55,280
1603
+ point zero point zero point zero point zero point
1604
+
1605
+ 402
1606
+ 00:41:55,280 --> 00:41:55,300
1607
+ zero point zero point zero point zero point zero
1608
+
1609
+ 403
1610
+ 00:41:55,300 --> 00:41:55,300
1611
+ point zero point zero point zero point zero point
1612
+
1613
+ 404
1614
+ 00:41:55,300 --> 00:41:55,320
1615
+ zero point zero point zero point zero point zero
1616
+
1617
+ 405
1618
+ 00:41:55,320 --> 00:41:55,320
1619
+ point zero point zero point zero point zero point
1620
+
1621
+ 406
1622
+ 00:41:55,320 --> 00:41:55,320
1623
+ zero point zero point zero point zero point zero
1624
+
1625
+ 407
1626
+ 00:41:55,320 --> 00:41:55,320
1627
+ point zero point zero point zero point zero point
1628
+
1629
+ 408
1630
+ 00:41:55,320 --> 00:41:55,320
1631
+ zero point zero point zero point zero point zero
1632
+
1633
+ 409
1634
+ 00:41:55,320 --> 00:41:55,320
1635
+ point zero point zero point zero point zero point
1636
+
1637
+ 410
1638
+ 00:41:55,320 --> 00:41:55,560
1639
+ zero point zero point zero point zero point zero
1640
+
1641
+ 411
1642
+ 00:41:55,560 --> 00:41:55,560
1643
+ point zero point zero point zero point zero point
1644
+
1645
+ 412
1646
+ 00:41:55,560 --> 00:41:55,580
1647
+ zero point zero point zero point zero point zero
1648
+
1649
+ 413
1650
+ 00:41:55,580 --> 00:42:00,700
1651
+ point zero point zero point zeroู„ุฃ ุฎู„ู‘ูŠ ู†ูุณ ุงู„ู„ูŠ
1652
+
1653
+ 414
1654
+ 00:42:00,700 --> 00:42:05,540
1655
+ ุฏุง ุชู„ุงุชุฉ ุงูƒู… ุงู‡ ุชู„ุงุชุฉ ุชู„ุงุชุฉ ุณุชุฉ ุชู„ุงุชุฉ ุณุชุฉ ุชู„ุงุชุฉ
1656
+
1657
+ 415
1658
+ 00:42:05,540 --> 00:42:13,680
1659
+ ู…ุนู†ุงุชู‡ ุฎู„ุงู†ูƒ ุชุจู„ุฎุต ุงู„ู„ูŠ ุฏุงูƒ for
1660
+
1661
+ 416
1662
+ 00:42:13,680 --> 00:42:18,260
1663
+ ninety five percent confidence
1664
+
1665
+ 417
1666
+ 00:42:18,260 --> 00:42:26,280
1667
+ ู‡ุชูƒูˆู† ุงู„ู…ูŠูˆ ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ point ุงูˆ ุงูˆ ุชุณุนุฉ ุฒุงุฏ ุงูˆ
1668
+
1669
+ 418
1670
+ 00:42:26,280 --> 00:42:37,450
1671
+ ู†ุงู‚ุตpoint o ุงุชู†ูŠู† ุงุฑุจุนุฉ four
1672
+
1673
+ 419
1674
+ 00:42:37,450 --> 00:42:43,770
1675
+ ninety nine percent confidence ู‡ุชูƒูˆู† ู…ูŠูˆ ุจุงู„ุณุงุนุฉ
1676
+
1677
+ 420
1678
+ 00:42:43,770 --> 00:42:51,110
1679
+ ูˆุงุญุฏ point o ุงุชุณุนุฉ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต point zero ุชู„ุงุชุฉ
1680
+
1681
+ 421
1682
+ 00:42:51,110 --> 00:42:56,990
1683
+ ุงุฑุจุนุฉ zero ุชู„ุงุชุฉ ุงุฑุจุนุฉ
1684
+
1685
+ 422
1686
+ 00:43:05,840 --> 00:43:11,060
1687
+ ู„ุฃ ู‡ูŠูƒ ุตุญ ุนุดุงู†
1688
+
1689
+ 423
1690
+ 00:43:11,060 --> 00:43:16,040
1691
+ ุงู†ุง ุงุญูƒูŠ ุงู†ุง ู…ุชุฃูƒุฏ ุงู† ู‡ูŠ 99% ู‡ุชูƒูˆู† ูู‰ ุงู„ range ู‡ุฐุง
1692
+
1693
+ 424
1694
+ 00:43:16,040 --> 00:43:23,940
1695
+ ุจุฏู‰ ุงุดูŠู„ ุจุฏู‰ ุงูˆุณุน ุงู„ range ุงุฐุง
1696
+
1697
+ 425
1698
+ 00:43:23,940 --> 00:43:29,900
1699
+ ุจุฏู‰ ุงุญูƒูŠ ุจู†ุณุจุฉ 5% ุจุฏู‰ ุฏุฑุฌุฉ ุงู„ range ูˆุงุถุญ ู‡ุชู…ุซู„ ุงูŠุด
1700
+
1701
+ 426
1702
+ 00:43:29,900 --> 00:43:35,000
1703
+ confidence level ูˆุงุถุญุงุชุŸ
1704
+
1705
+ 427
1706
+ 00:43:37,340 --> 00:43:39,640
1707
+ ู…ุงู†ุง ุจุญูƒูŠ ุงู†ุง ู…ุชุฃูƒุฏ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ ุงู„ู…ูŠุฉ ุงุญู†ุง ู†ูƒูˆู†
1708
+
1709
+ 428
1710
+ 00:43:39,640 --> 00:43:41,240
1711
+ ููŠ ุงู„ range ู‡ุฐุง ุนุดุงู† ุงู†ุง ุฃูƒูˆู† ู…ุชุฃูƒุฏ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ
1712
+
1713
+ 429
1714
+ 00:43:41,240 --> 00:43:43,580
1715
+ ุงู„ู…ูŠุฉ ู„ุงุฒู… ุงูˆุณุน ุจูุนุดุงู† ุงุญูƒูŠ ุชุณุนุฉ ูˆ ุณุชุฉ ููŠ ุงู„ู…ูŠุฉ ูˆ
1716
+
1717
+ 430
1718
+ 00:43:43,580 --> 00:43:49,560
1719
+ ุงุถุงูŠู‚ ุญุงู„ูŠุŒ ุจุธุจุทุŸ ููƒู„
1720
+
1721
+ 431
1722
+ 00:43:49,560 --> 00:43:53,540
1723
+ ู…ุง ุฒุงุฏ ุงู„ confidence level ูƒู„ ู…ุง ูˆุฒุนุช ุงู„ุทูˆู„ุฉ ..
1724
+
1725
+ 432
1726
+ 00:43:53,540 --> 00:43:58,620
1727
+ ุงู„ุทูˆู„ุฉ ุจุต ูƒุฏุฑ ูŠุนู†ูŠ ุงู†ุง ู…ุซู„ุง ุจุญูƒูŠ ูˆุงู„ู„ู‡ ุงู†ุง ุงู„ุทุงูˆู„ุฉ
1728
+
1729
+ 433
1730
+ 00:43:58,620 --> 00:44:01,660
1731
+ ู‡ุฐู‡ ุจุถู…ุงู„ูƒูŠ ูŠุงู‡ุง
1732
+
1733
+ 434
1734
+ 00:44:06,500 --> 00:44:09,700
1735
+ ุชุณุนุฉ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ูŠุฉ ุชูƒูˆู† ุทูˆู„ู‡ุง ู…ุชุฑ ุฒุงุฏ ุงูˆ ู†ุงู‚ุต
1736
+
1737
+ 435
1738
+ 00:44:09,700 --> 00:44:14,320
1739
+ ุฎู…ุณุฉ ุตู†ุทูŠ ุญุณุจูˆุชุŸ
1740
+
1741
+ 436
1742
+ 00:44:14,320 --> 00:44:17,760
1743
+ ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุจุญูƒูŠู„ูƒ ูˆ ุงู„ู„ู‡ ุจุถู…ู†ูƒ ุงู„ุทูˆู„ุฉ
1744
+
1745
+ 437
1746
+ 00:44:17,760 --> 00:44:23,920
1747
+ ุทูˆู„ู‡ุง ู…ุชุฑ ุจุถู…ู†ูƒ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉ ุทูˆู„ู‡ุง ู…ุชุฑ ุฒุงุฏ ุงูˆ
1748
+
1749
+ 438
1750
+ 00:44:23,920 --> 00:44:31,200
1751
+ ู†ุงู‚ุต ูˆุงุญุฏ ุตู†ุทูŠ ูˆุงุถุญุงุชุŸ ุฏุฑุฌุฉ ุงู„ุชูŠู‚ู† ูƒู„ ู…ุฑุฉ ูุงุฏุช
1752
+
1753
+ 439
1754
+ 00:44:31,200 --> 00:44:38,530
1755
+ ุฏุฑุฌุฉ ุงู„ุชูŠู‚ู† ุงูƒุชุฑ ู„ุงุฒู… ุงูˆุณุน ุงู„ rangeุฎู„ู‘ูŠู†ูŠ ู†ุฎู„ุต
1756
+
1757
+ 440
1758
+ 00:44:38,530 --> 00:44:41,370
1759
+ ู…ุญุงุถุฑุฉ ุงู„ูŠูˆู… ูˆ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠ ุจู†ูƒู…ู„ ุงุนุทูŠูƒูˆุง ุงู„ุนุงููŠุฉ
1760
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/TtLL-DK1U-Q.srt ADDED
@@ -0,0 +1,3281 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,110 --> 00:00:07,490
3
+ ุทูŠุจ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ
4
+
5
+ 2
6
+ 00:00:07,490 --> 00:00:11,430
7
+ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ chapter ุซู„ุงุซุฉ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:11,430 --> 00:00:16,090
11
+ ุชู‚ูŠูŠู… ูˆุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุงุฑุจ assessing and
12
+
13
+ 4
14
+ 00:00:16,090 --> 00:00:18,550
15
+ presenting experimental data
16
+
17
+ 5
18
+ 00:00:23,700 --> 00:00:28,560
19
+ ุฎู„ู†ุง ู†ุนู…ู„ ู…ุฑุงุฌุนุฉ ุณุฑูŠุนุฉ ู„ู„ู…ุญุงุถุฑุฉ ุงู„ู…ุงุถูŠุฉ ุนุฑูู†ุง ุงู„
20
+
21
+ 6
22
+ 00:00:28,560 --> 00:00:31,640
23
+ error ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ measured value ูˆุงู„ู€ true
24
+
25
+ 7
26
+ 00:00:31,640 --> 00:00:38,780
27
+ value ูˆุญูƒูŠู†ุง ุฃู† ุงู„ true value ู„ุง ูŠู…ูƒู† ู…ุนุฑูุชู‡ุง ู„ูƒู†
28
+
29
+ 8
30
+ 00:00:38,780 --> 00:00:46,220
31
+ ุฃูˆ ูŠุนู†ูŠ ุฃูˆ ู†ุณุจุฉ ุงู„ุฎุทุฃ ู…ุด ู…ู…ูƒู† ู†ุนุฑูู‡ุง ุจุงู„ุธุจุทุŒ ู„ุฃู†ู‡
32
+
33
+ 9
34
+ 00:00:46,220 --> 00:00:50,760
35
+ ู…ุง ุจู†ุนุฑูุด ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ูƒู…ูŠุฉ ุงู„ู„ูŠ ุชู… ู‚ูŠุงุณู‡ุง
36
+
37
+ 10
38
+ 00:00:50,760 --> 00:00:56,920
39
+ ู„ูƒู† ู…ู…ูƒู† ุชู‚ุฏูŠุฑู‡ุงุŒ ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู…ุฉ ุงู„ุฎุทุฃุŒ ุจุงุณุชุฎุฏุงู… ุงู„ุทุฑู‚
40
+
41
+ 11
42
+ 00:00:56,920 --> 00:01:01,760
43
+ ุงู„ุฅุญุตุงุฆูŠุฉุŒ ูˆุนุดุงู† ุฃู‚ุฏุฑ ู‚ูŠู…ุฉ ุงู„ุฎุทุฃ ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ู„ูŠ
44
+
45
+ 12
46
+ 00:01:01,760 --> 00:01:07,040
47
+ ุนู†ุฏูŠ ู…ุนุฑูุฉ ุจู€.. ุจุงู„ู€.. ูƒูŠู ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ุจูŠุดุชุบู„ ูˆูƒูŠู
48
+
49
+ 13
50
+ 00:01:07,040 --> 00:01:08,080
51
+ ุชู… ู…ุนุงูŠุฑุชู‡
52
+
53
+ 14
54
+ 00:01:10,700 --> 00:01:13,460
55
+ ุงู„ู€ error ุญูƒูŠู†ุง ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ measured value ูˆุงู„ู€
56
+
57
+ 15
58
+ 00:01:13,460 --> 00:01:18,840
59
+ true value ุทุจุนู‹ุง
60
+
61
+ 16
62
+ 00:01:18,840 --> 00:01:23,140
63
+ ุงู„ู€ error ุงู„ู…ุณู…ูˆุญ ููŠู‡ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ upper bound ูˆ
64
+
65
+ 17
66
+ 00:01:23,140 --> 00:01:27,080
67
+ lower bound ูŠุนู†ูŠ ุนู†ุฏูŠ plus or minusุŒ ูŠุนู†ูŠ ุงุญู†ุง ู„ูˆ
68
+
69
+ 18
70
+ 00:01:27,080 --> 00:01:29,920
71
+ ุจู†ู‚ูŠุณ ุญุฑุงุฑุฉุŒ ู…ุนุงูŠุง ู†ุณุจุฉ.. ู†ุณุจุฉ plus or minus ุนุดุงู†
72
+
73
+ 19
74
+ 00:01:29,920 --> 00:01:35,160
75
+ ุฎู…ุณ ุฏุฑุฌุงุชุŒ ุญุณุจ ุงู„ุฌู‡ุงุฒุŒ errorุŒ ุฅุฐุง ุฌู‡ุงุฒ ุฃูƒุซุฑ ุฏู‚ุฉ
76
+
77
+ 20
78
+ 00:01:35,160 --> 00:01:38,480
79
+ plus or minus one degreeุŒ ุฅุฐุง ุฃูƒุซุฑ ุฏู‚ุฉ plus or
80
+
81
+ 21
82
+ 00:01:38,480 --> 00:01:41,880
83
+ minus point one degreeุŒ ูˆู‡ูƒุฐุงุŒ ูุฃู†ุง ุจูƒูˆู† ุนู†ุฏูŠ
84
+
85
+ 22
86
+ 00:01:41,880 --> 00:01:47,520
87
+ ุนู†ุฏูŠ ุญุฏูˆุฏ ุนู„ูŠุง ูˆุญุฏูˆุฏ ุฏู†ูŠุง ู„ู†ุณุจุฉ ุงู„ุฎุทุฃ ุงู„ู…ุณู…ูˆุญ ููŠู‡
88
+
89
+ 23
90
+ 00:01:49,260 --> 00:01:53,120
91
+ ุญูƒูŠู†ุง ููŠู‡ ุจุดูƒู„ ุนุงู… ู†ูˆุนูŠู† ู…ู† ุงู„ู€.. ุงู„ู€ errors ููŠ
92
+
93
+ 24
94
+ 00:01:53,120 --> 00:01:57,180
95
+ ุนู†ุฏูŠ systematic ุฃูˆ bias errors ูˆููŠ ุนู†ุฏูŠ random or
96
+
97
+ 25
98
+ 00:01:57,180 --> 00:02:02,480
99
+ precision errors ุทุจุนู‹ุง
100
+
101
+ 26
102
+ 00:02:02,480 --> 00:02:08,500
103
+ ุญูƒูŠู†ุง ููŠ ุงู„ุฃู†ูˆุงุน ุงู„ู…ุฎุชู„ูุฉ ู„ู„ู€ errors ุนุฑูู†ุง ุงู„ูุฑู‚
104
+
105
+ 27
106
+ 00:02:08,500 --> 00:02:11,120
107
+ ุจูŠู† ุงู„ bias error ูˆุงู„ู€ random error
108
+
109
+ 28
110
+ 00:02:22,120 --> 00:02:28,280
111
+ ูˆุตู„ู†ุง ู„ุญุฏู‘ ุงู„ุขู† ููŠ ู…ุตุทู„ุญุงุช ูŠุชู… ูƒุซูŠุฑ ุงุณุชุฎุฏุงู…ู‡ุง ููŠ
112
+
113
+ 29
114
+ 00:02:28,280 --> 00:02:38,080
115
+ ุนู„ู… ุงู„ู‚ูŠุงุณุงุชุŒ ููŠ ู…ุตุทู„ุญ ุงู„ accuracy ูˆุงู„ู€ precision ูˆุงู„ู€
116
+
117
+ 30
118
+ 00:02:38,080 --> 00:02:44,100
119
+ resolution ูˆุงู„ู€ sensitivity ูŠุนู†ูŠ
120
+
121
+ 31
122
+ 00:02:44,100 --> 00:02:50,830
123
+ ููŠ ูุฑู‚ ุจูŠู† accurate ูˆ preciseุŒ ุงู„ู€
124
+
125
+ 32
126
+ 00:02:50,830 --> 00:02:54,970
127
+ accuracy ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ accuracyุŒ ุงู„ุฏู‚ุฉ ุงู„ุชุนุฑูŠููŠุฉุŒ
128
+
129
+ 33
130
+ 00:02:54,970 --> 00:03:03,130
131
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ูƒู…ูŠุฉ ุงู„ู„ูŠ ุชู… ู‚ูŠุงุณู‡ุง ูˆุงู„ูƒู…ูŠุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ
132
+
133
+ 34
134
+ 00:03:03,130 --> 00:03:08,890
135
+ ุงู„ู€
136
+
137
+ 35
138
+ 00:03:08,890 --> 00:03:09,310
139
+ accuracy
140
+
141
+ 36
142
+ 00:03:11,920 --> 00:03:15,640
143
+ ู‡ูŠ ุจุชุนุจู‘ุฑ ุนู† ุงู„ูุฑูˆู‚ ุจูŠู† ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุจุฃุฎุฐู‡ุง ุจู†ูุณ
144
+
145
+ 37
146
+ 00:03:15,640 --> 00:03:20,820
147
+ ุงู„ุฌู‡ุงุฒุŒ ุจุชุนุจู‘ุฑ ุนู† ุงู„ูุฑู‚ุงุช ุจูŠู† ุงู„ู‚ุฑุงุกุงุช ุฅุฐุง ุงู„ุฌู‡ุงุฒ
148
+
149
+ 38
150
+ 00:03:20,820 --> 00:03:25,720
151
+ precise ู…ุซู„ู‹ุง ุจูŠุนุทูŠู†ุง ุงู„ูุฑู‚ุงุช ุฏุงุฆู…ู‹ุง ุจุชูƒูˆู† ู‚ุฑูŠุจุฉ ู…ู†
152
+
153
+ 39
154
+ 00:03:25,720 --> 00:03:32,760
155
+ ุจุนุถุŒ ู‡ุฐุง ู…ุด ุฏู‚ุฉุŒ ุจูŠุนุทูŠู†ุง ุงู„ precision ุจุชุงุน ุงู„ุฌู‡ุงุฒ
156
+
157
+ 40
158
+ 00:03:32,760 --> 00:03:35,920
159
+ ูุงู„ู€ accuracy ู‡ูŠ ุงู„ู€ difference ุจูŠู† ุงู„ู€ measured
160
+
161
+ 41
162
+ 00:03:35,920 --> 00:03:40,800
163
+ value ูˆุงู„ู€ true valueุŒ ุงู„ู€ precision ุงู„ู€ difference
164
+
165
+ 42
166
+ 00:03:40,800 --> 00:03:46,540
167
+ ุจูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ readings of the device ู„ู…ุง ุฃู†ุง ุจุฃุฎุฐ
168
+
169
+ 43
170
+ 00:03:46,540 --> 00:03:50,120
171
+ ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู‚ุฑุงุกุงุช ู‚ุฑูŠุจุฉ ู…ู†
172
+
173
+ 44
174
+ 00:03:50,120 --> 00:03:52,500
175
+ ุจุนุถุŒ ู…ุนู†ุงู‡ุง ุฅู† ููŠ ุนู†ุฏูŠ precisionุŒ ุฅุฐุง ุงู„ู‚ุฑุงุกุงุช
176
+
177
+ 45
178
+ 00:03:52,500 --> 00:03:58,320
179
+ ุจุนูŠุฏุฉ ุนู† ุจุนุถุŒ ูุด ุนู†ุฏูŠ precision ุฒูŠ
180
+
181
+ 46
182
+ 00:03:58,320 --> 00:03:59,740
183
+ ู…ุง ูŠุจูŠู† ุนู†ุฏูŠ ู‡ู†ุง ููŠ ุงู„ graph
184
+
185
+ 47
186
+ 00:04:08,920 --> 00:04:13,560
187
+ ุนู†ุฏูŠ ุงู„ู„ูŠุŒ ุฅุฐุง ุฃู†ุง ุจุฃุฎุฐ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุช ูˆุจุฃุฎุฐ
188
+
189
+ 48
190
+ 00:04:13,560 --> 00:04:18,400
191
+ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉุŒ ุงู„ู„ูŠ ุจุจุญุซ ุนู„๏ฟฝ๏ฟฝู‡ ู‡ูˆ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ
192
+
193
+ 49
194
+ 00:04:18,400 --> 00:04:22,420
195
+ ู„ู„ู‚ุฑุงุกุงุชุŒ ู…ุด ุถุฑูˆุฑูŠ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ุชูƒูˆู† ู‡ูŠ ุงู„ู€ true
196
+
197
+ 50
198
+ 00:04:22,420 --> 00:04:26,720
199
+ valueุŒ ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ ู„ู„ู‚ุฑุงุกุงุช ู„ุง ุชุนุจู‘ุฑ ุนู† ุงู„ู‚ูŠู…ุฉ
200
+
201
+ 51
202
+ 00:04:26,720 --> 00:04:30,400
203
+ ุงู„ุญู‚ูŠู‚ูŠุฉ ู„ู„ู‚ุฑุงุกุฉุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃุฎุฐุช ู…ุซู„ู‹ุง ุจู‚ูŠุณ ุฏุฑุฌุฉ
204
+
205
+ 52
206
+ 00:04:30,400 --> 00:04:34,860
207
+ ุญุฑุงุฑุฉ ู„ุฌุณู…ุŒ ุฃุฎุฐุช ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ุทู„ุนุช ุงู„ู‚ูŠู… ุงู„ู…ุชูˆุณุทุฉ
208
+
209
+ 53
210
+ 00:04:34,860 --> 00:04:40,100
211
+ ุชุณุนูŠู† ุฏุฑุฌุฉุŒ ู„ุง ูŠุนู†ูŠ ุฅู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ ุฏุฑุฌุฉ ุญูˆุงู„ูŠ
212
+
213
+ 54
214
+ 00:04:40,100 --> 00:04:42,700
215
+ ุชุณุนูŠู†ุŒ ู…ู…ูƒู† ุชูƒูˆู† ุซู…ุงู†ูŠุฉ ูˆุซู…ุงู†ูŠู†ุŒ ุงู„ู…ุนู†ู‰ ู‡ูˆ ุงู„ู‚ูŠู…ุฉ
216
+
217
+ 55
218
+ 00:04:42,700 --> 00:04:49,340
219
+ ุงู„ู…ุชูˆุณุทุฉ ู„ู„ู‚ุฑุงุกุงุช ุจุชุฎุชู„ู ุนู† ุงู„ู€ true valueุŒ ูุจุงู„ุชุงู„ูŠ
220
+
221
+ 56
222
+ 00:04:49,340 --> 00:04:52,840
223
+ ุนุดุงู† ุฐู„ูƒ ุงู„ู€ accuracy ู‡ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ real valueุŒ
224
+
225
+ 57
226
+ 00:04:52,840 --> 00:04:57,080
227
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉุŒ ูˆุงู„ู€ average value ู„ู„ู‚ุฑุงุกุงุชุŒ ู‡ุฐู‡ ุฅูŠุด
228
+
229
+ 58
230
+ 00:04:57,080 --> 00:05:01,380
231
+ ุงู„ู€ accuracyุŒ ุงู„ู€ precisionุŒ ููŠ ุนู†ุฏูŠ ุงู„ู€ average value
232
+
233
+ 59
234
+ 00:05:01,380 --> 00:05:06,140
235
+ ู‡ูŠ ุชู…ุซู„ ู†ู‚ุทุฉ ู…ุฑูƒุฒูŠุฉ ุฃูˆ ู…ุญูˆุฑูŠุฉุŒ ุงู„ู€ central valueุŒ how
236
+
237
+ 60
238
+ 00:05:06,140 --> 00:05:11,820
239
+ farุŒ ุงู„ู‚ุฑุงุกุงุช ุจุนูŠุฏุฉ ุนู† ุงู„ู€ central point ุฃูˆ ุนู† ุงู„ู€
240
+
241
+ 61
242
+ 00:05:11,820 --> 00:05:17,320
243
+ average value ู„ู„ู€.. ู„ู„ุจูŠุงู†ุงุชุŒ ู‡ุฐู‡ ุงู„ู€ precision ุจูŠุฏูŠู†ูŠ
244
+
245
+ 62
246
+ 00:05:17,320 --> 00:05:23,820
247
+ ุชุจุงุนุฏ ุงู„ู‚ุฑุงุกุงุช ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู„ู…ุฌู…ูˆุน ุงู„ู‚ุฑุงุกุงุช
248
+
249
+ 63
250
+ 00:05:23,820 --> 00:05:27,540
251
+ ู‡ุฐู‡ ู‡ูŠ ุฅูŠุด ุงู„ู€ precisionุŒ ุฎู„ูŠู†ูŠ ุฃุดูˆู ู…ู† ุฎู„ุงู„
252
+
253
+ 64
254
+ 00:05:27,540 --> 00:05:36,780
255
+ example ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€.. ุงู„ู€ precision ูˆุงู„ู€ accuracy
256
+
257
+ 65
258
+ 00:05:40,570 --> 00:05:44,370
259
+ ุนู†ุฏูŠ ุงู„ู…ุซุงู„ุŒ four students perform experimentsุŒ ุนู†ุฏ
260
+
261
+ 66
262
+ 00:05:44,370 --> 00:05:49,750
263
+ ุฃุฑุจุนุฉ ุทู„ุงุจ ุจูŠุฌุฑูˆุง ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุชุฌุงุฑุจุŒ to measure
264
+
265
+ 67
266
+ 00:05:49,750 --> 00:05:57,030
267
+ density of aluminumุŒ ุฃุฑุจุนุฉ ุทู„ุงุจ ุจูŠุฌุฑูˆุง ุชุฌุงุฑุจ ู„ู‚ูŠุงุณ
268
+
269
+ 68
270
+ 00:05:57,030 --> 00:06:02,450
271
+ ูƒุซุงูุฉ ุงู„ุฃู„ู…ูˆู†ูŠูˆู…ุŒ ูˆุงุญู†ุง ุนุงุฑููŠู† ุงู„ู€ true density
272
+
273
+ 69
274
+ 00:06:02,450 --> 00:06:06,310
275
+ ู„ู„ุฃู„ู…ูˆู†ูŠูˆู… 2.7 gram/ุณู… ู…ูƒุนุจุŒ ู‡ุฐู‡ ุงู„ู€ true
276
+
277
+ 70
278
+ 00:06:06,310 --> 00:06:06,690
279
+ density
280
+
281
+ 71
282
+ 00:06:09,390 --> 00:06:16,610
283
+ ุงู„ุขู† ูƒู„ ุทุงู„ุจุŒ ููŠ ุนู†ุฏูŠ ุงู„ุทู„ุงุจ ู…ุญู…ุฏ ูˆุณู…ูŠุฑ ูˆุนุจุฏุงู„ู„ู‡
284
+
285
+ 72
286
+ 00:06:16,610 --> 00:06:21,150
287
+ ูˆู†ูˆุฑุŒ ุฃุฎุฐ
288
+
289
+ 73
290
+ 00:06:21,150 --> 00:06:23,890
291
+ ูƒู„ ูˆุงุญุฏ ููŠู‡ู… ุฃุฑุจุน ู‚ุฑุงุกุงุชุŒ ุนู…ู„ ุฃุฑุจุน ู‚ุฑุงุกุงุช ู„ู„ู€
292
+
293
+ 74
294
+ 00:06:23,890 --> 00:06:31,650
295
+ densityุŒ ู…ุญู…ุฏ ุทู„ุน ุนู†ุฏู‡ ุงู„ู‚ุฑุงุกุงุช 2.9ุŒ 2.923ุŒ 2.925ุŒ 2
296
+
297
+ 75
298
+ 00:06:31,650 --> 00:06:35,910
299
+ .926ุŒ 2.925ุŒ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ุนู…ู„ู‡ุง ู†ุชูŠุฌุฉ ุชุฌุฑุจุฉ
300
+
301
+ 76
302
+ 00:06:35,910 --> 00:06:43,450
303
+ ู…ุญู…ุฏุŒ ุณู…ูŠุฑ ุจุฑุถู‡ ุนู…ู„ ุชุฌุงุฑุจ ูˆุฃุฎุฐ ุฃุฑุจุน ู‚ุฑุงุกุงุช ู„ู„ู€
304
+
305
+ 77
306
+ 00:06:43,450 --> 00:06:48,470
307
+ densityุŒ ู‡ุฐู‡ ู‚ุฑุงุกุงุช ุณู…ูŠุฑุŒ ู‡ุฐู‡ ู‚ุฑุงุกุงุช ุนุจุฏุงู„ู„ู‡ ู„ู„ู€
308
+
309
+ 78
310
+ 00:06:48,470 --> 00:06:56,290
311
+ density ุชุงุนุช ุงู„ aluminumุŒ ู‡ุฐู‡ ู‚ุฑุงุกุงุช ู†ูˆุฑุŒ ุนุดุงู†
312
+
313
+ 79
314
+ 00:06:56,290 --> 00:07:01,190
315
+ ู†ุนุฑู ู…ูŠู†
316
+
317
+ 80
318
+ 00:07:01,190 --> 00:07:06,810
319
+ ุฃูƒุซุฑ ู‚ุฑุงุกุฉ accurate ูˆู…ูŠู† ุฃูƒุซุฑ ู‚ุฑุงุกุฉ preciseุŒ ู…ูŠู† ุงู„ู€
320
+
321
+ 81
322
+ 00:07:06,810 --> 00:07:12,010
323
+ most accurate ุฃูˆ ุงู„ most preciseุŒ ุฃูˆ ู†ุฑุชู‘ุจ ุชุฑุชูŠุจ ู…ู†
324
+
325
+ 82
326
+ 00:07:12,010 --> 00:07:22,850
327
+ ุญูŠุซ ุงู„ accuracy ูˆุชุฑุชูŠุจ ู…ู† ุญูŠุซ ุงู„ precisionุŒ ุฃูˆู„
328
+
329
+ 83
330
+ 00:07:22,850 --> 00:07:26,190
331
+ ุดูŠุก ุฃู†ุง ู‡ุฃุฎุฐ ุงู„ู€ main value ุฃูˆ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ
332
+
333
+ 84
334
+ 00:07:26,190 --> 00:07:29,210
335
+ ู„ู„ู‚ุฑุงุกุงุชุŒ ุฃู†ุง ุนู†ุฏูŠ ุงู„ู‚ุฑุงุกุงุชุŒ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ูˆุงุญุฏ
336
+
337
+ 85
338
+ 00:07:29,210 --> 00:07:35,580
339
+ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ุงุซู†ูŠู†ุŒ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ุซู„ุงุซุฉุŒ ู‡ุฐุง ุฑู‚ู…
340
+
341
+ 86
342
+ 00:07:35,580 --> 00:07:45,440
343
+ ุฃุฑุจุนุฉุŒ ู‡ุฐุง ู‡ุชูƒูˆู† ุงู„ raw averageุŒ ู‡ุณู…ู‘ูŠู‡ุง ุงู„ raw
344
+
345
+ 87
346
+ 00:07:45,440 --> 00:07:53,080
347
+ averageุŒ ูŠุนู†ูŠ ู‡ุฐุง ุจูˆุงุณุทุฉ ู‚ุฑุงุกุงุช ู…ุญู…ุฏุŒ ู‡ุฐุง ุจูˆุงุณุทุฉ
348
+
349
+ 88
350
+ 00:07:53,080 --> 00:08:00,540
351
+ ู‚ุฑุงุกุงุช ุณู…ูŠุฑุŒ ู‡ุฐุง ุจูˆุงุณุทุฉ ู‚ุฑุงุกุงุช ุนุจุฏุงู„ู„ู‡ุŒ ู‡ุฐุง ุจูˆุงุณุทุฉ
352
+
353
+ 89
354
+ 00:08:00,540 --> 00:08:01,900
355
+ ู‚ุฑุงุกุงุช ู†ูˆุฑ
356
+
357
+ 90
358
+ 00:08:04,500 --> 00:08:07,240
359
+ ุงู„ุขู† ุงู„ู€ standard deviation ุจุชุญุณุจุŒ ุงู„ู€ standard
360
+
361
+ 91
362
+ 00:08:07,240 --> 00:08:12,820
363
+ deviation ู„ู„ู€ data ุทุจุนู‹ุงุŒ ู‡ุฐู‡ ุชู…ุซู„ population ูˆู„ุง
364
+
365
+ 92
366
+ 00:08:12,820 --> 00:08:19,260
367
+ sampleุŸ ุชู…ุซู„
368
+
369
+ 93
370
+ 00:08:19,260 --> 00:08:24,760
371
+ sampleุŒ ูŠุนู†ูŠ ุฃุฑุจุนุฉ ุฃูƒูŠุฏ ุชู…ุซู„ sampleุŒ ุนุดุงู† ุงู„ู€
372
+
373
+ 94
374
+ 00:08:24,760 --> 00:08:28,360
375
+ population ุจูŠุฏูŠ ุนุฏุฏ ูƒุจูŠุฑ ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ูŠุนู†ูŠ ุฅุฐุง ุจุญูƒูŠ
376
+
377
+ 95
378
+ 00:08:28,360 --> 00:08:32,400
379
+ ู‡ู†ุง ุนุดุงู† ุฃุนุฑู.. ุจุฏูŠ ุฃุนู…ู„ ุฅุญุตุงุฆูŠุงุช ุนู„ู‰ ู…ุฑุถู‰
380
+
381
+ 96
382
+ 00:08:32,400 --> 00:08:36,780
383
+ ุงู„ุณูƒุฑ ููŠ ูู„ุณุทูŠู†ุŒ ุงู„ู€ population ูƒู„ ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ
384
+
385
+ 97
386
+ 00:08:36,780 --> 00:08:41,580
387
+ ูู„ุณุทูŠู†ุŒ ู„ูƒู† ุฃู†ุง ุงู„ู„ูŠ ุจุนู…ู„ุด ุฏุฑุงุณุฉ ุนู„ู‰ ูƒู„ ุงู„ู…ุฑุถู‰ุŒ ุจุฃุฎุฐ
388
+
389
+ 98
390
+ 00:08:41,580 --> 00:08:46,080
391
+ ู…ู†ู‡ู… ุฅูŠุดุŸ ุนูŠู‘ู†ุฉ.. sample.. sample ู‡ูŠ ุจุฃุฎุฐู‡ุง ู…ู†
392
+
393
+ 99
394
+ 00:08:46,080 --> 00:08:50,030
395
+ ุงู„ู€ populationุŒ ุจุฃุฎุฐู‡ุง ุจุงู„ุดูƒู„ ุฅู† ูŠูƒูˆู† ุนุฏุฏ ุงู„ู€ sample
396
+
397
+ 100
398
+ 00:08:50,030 --> 00:08:54,050
399
+ ูƒุงููุŒ ูˆุจุฃุฎุฐู‡ุง ุจุดูƒู„ ุนุดูˆุงุฆูŠ ุจุญูŠุซ ุชู…ุซู„ ุฅูŠุด ุงู„ู€
400
+
401
+ 101
402
+ 00:08:54,050 --> 00:08:57,850
403
+ population ู‡ุฐู‡ุŒ ูˆููŠ ุงู„ุขุฎุฑ ุชู…ุซู„ ุฅูŠุด ุงู„ู€ sampleุŒ ุงู„ู€
404
+
405
+ 102
406
+ 00:08:57,850 --> 00:09:01,990
407
+ standard deviationุŒ ุจุงู„ุตูŠุบุฉ
408
+
409
+ 103
410
+ 00:09:01,990 --> 00:09:10,770
411
+ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ู„ู€ deviationsุŒ ู…ุฌู…ูˆุน ุงู„ู€ deviations
412
+
413
+ 104
414
+ 00:09:10,770 --> 00:09:18,760
415
+ ุชุฑุจูŠุน ุนู„ู‰ n ู†ุงู‚ุต ูˆุงุญุฏุŒ ุงู„ู€ Deviations ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุนู†
416
+
417
+ 105
418
+ 00:09:18,760 --> 00:09:25,100
419
+ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ุฅูŠุด ู‡ูŠุŸ ุฑูˆุŒ ู‡ุชูƒูˆู†
420
+
421
+ 106
422
+ 00:09:25,100 --> 00:09:30,840
423
+ summation of ุฑูˆ IุŒ ุนู†ุฏ I ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุชุฎูŠู‘ู„ ู…ู† ูˆุงุญุฏ
424
+
425
+ 107
426
+ 00:09:30,840 --> 00:09:37,960
427
+ ู„ุฃุฑุจุนุฉุŒ ุตุญุŸ ุนู„ู‰ NุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุฑูˆ ูˆุงุญุฏ ุฒุงุฆุฏ ุฑูˆ ุงุซู†ูŠู† ุฒุงุฆุฏ
428
+
429
+ 108
430
+ 00:09:37,960 --> 00:09:44,120
431
+ ุฑูˆ ุซู„ุงุซุฉุŒ ุฑูˆ ูˆุงุญุฏ ุฒุงุฆุฏ ุฑูˆ ุงุซู†ูŠู† ุฒุงุฆุฏ ุฑูˆ ุซู„ุงุซุฉ ุฒุงุฆุฏ ุฑูˆ
432
+
433
+ 109
434
+ 00:09:44,120 --> 00:09:49,570
435
+ ุฃุฑุจุนุฉุŒ ุงู„ู„ูŠ ุฃู†ุง ุนู†ุฏูŠ ูƒู…ุŸ ุนู„ู‰ ุฃุฑุจุนุฉุŒ ูŠุนู†ูŠ ู„ู…ุง ุฃู†ุง
436
+
437
+ 110
438
+ 00:09:49,570 --> 00:09:53,610
439
+ ุญุณุจุช ุงู„ู‚ูŠู…ุฉ ู‡ุฐู‡ุŒ ุฌู…ุนุช ูˆุงุญุฏ ู…ุน ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ู…ุน ู‡ุฐู‡ ุนู„ู‰
440
+
441
+ 111
442
+ 00:09:53,610 --> 00:09:57,210
443
+ ุฃุฑุจุนุฉุŒ ูˆู†ูุณ ุงู„ุดูŠุก ุฅู† ุฌู…ุนุช ู‡ุฐู‡ ูˆู‡ุฐู‡ ูˆู‡ุฐู‡ ูˆู‡ุฐู‡ ุนู„ู‰
444
+
445
+ 112
446
+ 00:09:57,210 --> 00:10:06,250
447
+ ุฃุฑุจุนุฉ ุนุดุงู† ุฃุญุณุจ ุงู„ู€.. ุงู„ู€.. ุงู„ู€.. ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ main
448
+
449
+ 113
450
+ 00:10:06,250 --> 00:10:06,630
451
+ value
452
+
453
+ 114
454
+ 00:10:12,440 --> 00:10:16,660
455
+ ุนุดุงู† ุฃุญุณุจ ุงู„ู€.. ุทุจุนู‹ุง ุงู„ู€ standard deviation ุงู„ู„ูŠ
456
+
457
+ 115
458
+ 00:10:16,660 --> 00:10:24,760
459
+ ุญูƒูŠู†ุง ุงู„ sigma ุงู„ู„ูŠ ู‡ูˆุŒ ููŠ ุงู„ุตูŠุบุฉุŒ ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ู„ู€
460
+
461
+ 116
462
+ 00:10:24,760 --> 00:10:32,360
463
+ deviations ุชุฑุจูŠุน ุนู„ู‰ n ู†ุงู‚ุต ูˆุงุญุฏุŒ ูŠุนู†ูŠ ุงู„ deviation
464
+
465
+ 117
466
+ 00:10:32,360 --> 00:10:39,980
467
+ ูƒู„ ู‚ุฑุงุกุฉ ููŠู‡ุง ุงู†ุญุฑุงู ุนู† ุงู„ู€ meanุŒ ูŠุนู†ูŠ ู‡ุญูƒูŠ ู‡ุฐู‡ ู†ุงู‚ุต
468
+
469
+ 118
470
+ 00:10:39,980 --> 00:10:46,590
471
+ ู‡ุฐู‡ุŒ ู‡ุฐู‡ deviation oneุŒ ู‡ุฐู‡ ู†ุงู‚ุตู‡ุง ุฏูŠ deviation twoุŒ
472
+
473
+ 119
474
+ 00:10:46,590 --> 00:10:51,090
475
+ ู‡ุฐู‡ ู†ุงู‚ุตู‡ุง ุฏูŠ deviation ุซู„ุงุซุฉุŒ ู‡ุฐู‡ ู†ุงู‚ุตู‡ุง ุฏูŠ
476
+
477
+ 120
478
+ 00:10:51,090 --> 00:10:55,330
479
+ deviation ุฃุฑุจุนุฉุŒ ูˆุจุนุฏูŠู† ุฃุดูˆู ุฃุณุงูˆูŠ ููŠู‡ู… ุฅูŠู‡ุŸ ุจุฑุจู‘ุนู‡ู…
480
+
481
+ 121
482
+ 00:10:55,330 --> 00:11:00,430
483
+ ุจุฃุฑุจุนู‡ู…ุŒ ุฅุฐุง ุฌู…ุนุชู‡ู… ู‡ูŠุณุงูˆูˆุง ุตูุฑุŒ ู„ุฃู† ู‡ุฐุง ุฌุงุก
484
+
485
+ 122
486
+ 00:11:00,430 --> 00:11:06,840
487
+ ุงู„ู‚ูŠู…ุฉ ููŠ ุงู„ู†ุตุŒ ูุจุฑุจู‘ุนู‡ู… ุชุฑุจูŠุนุŒ ูˆุจุนุฏูŠู† ุจู‚ุณู…ู‡ู… ุนู„ู‰ N
488
+
489
+ 123
490
+ 00:11:06,840 --> 00:11:10,500
491
+ ู†ุงู‚ุต ูˆุงุญุฏุŒ ุนู„ู‰ ุซู„ุงุซุฉุŒ ุจุญุณุจ ุงู„ู€ standard deviation ู‡ุฐุง
492
+
493
+ 124
494
+ 00:11:10,500 --> 00:11:19,820
495
+ ุงู„ู€ standard deviation ููŠ ูƒู„ ุชุฌุฑุจุฉุŒ ุงู„ู€
496
+
497
+ 125
498
+ 00:11:19,820 --> 00:11:27,140
499
+ true value ุนู†ุฏูŠ ู„ู„ู€ density ุจุชุงุนูŠ ู‚ุจู„ ู…ุง ุงู„ูŠูˆู… 2.7
500
+
501
+ 126
502
+ 00:11:27,140 --> 00:11:35,190
503
+ 2.7ุŒ 2.7ุŒ ุฃู†ุง ุจุญุงูˆู„ ู‡ูƒุฐุงุŒ ุงู„ู€ accuracy ุจูŠุฏูŠู†ูŠุŒ ุจูƒูˆู† ู‚ุฑูŠุจ
504
+
505
+ 127
506
+ 00:11:35,190 --> 00:11:40,170
507
+ ุนู„ู‰ ุงู„ู€ true valueุŒ ุจูƒูˆู† ุฃู†ุง accurateุŒ ู…ุนู†ุงุชู‡ ุนุดุงู†
508
+
509
+ 128
510
+ 00:11:40,170 --> 00:11:44,970
511
+ ุฃุญุณุจ ูŠุนู†ูŠ ุงู„ู€ errorุŒ ู‡ูŠูƒูˆู† ุงู„ู€ error ุจูŠุณุงูˆูŠ ุงู„ู€ mean
512
+
513
+ 129
514
+ 00:11:44,970 --> 00:11:48,610
515
+ ู†ุงู‚ุต ุงู„ู€ true valueุŒ ุงู„ู€ error ู‡ู†ุง ู‡ูŠูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡
516
+
517
+ 130
518
+ 00:11:48,610 --> 00:11:51,670
519
+ ุงู„ู„ูŠ
520
+
521
+ 131
522
+ 00:11:51,670 --> 00:11:55,890
523
+ ู‡ูŠ ู‡ูŠ ุงู„ู€ mean value ู†ุงู‚ุต ุงู„ู€ trueุŒ ุฃู†ุง ุจุฃุฎุฐ ุทุจุนู‹ุง
524
+
525
+ 132
526
+ 00:11:55,890 --> 00:12:00,610
527
+ ู‚ูŠู…ุชู‡ุงุŒ ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุทู„ู‚ุฉุŒ ูŠุนู†ูŠ ู…ุง ููŠุด ุณุงู„ุจุŒ ู‡ุฐู‡ ู†ุงู‚ุต
528
+
529
+ 133
530
+ 00:12:00,610 --> 00:12:07,510
531
+ ู‡ุชุนุทูŠู†ูŠ ุฅูŠุดุŸ ุงู„ู€ errorุŒ ู‡ุฐู‡ ู†ุงู‚ุต ู‡ุฐู‡ ุจุชุนุทูŠู†ุง ุฅูŠู‡ุŸ ุงู„ู€
532
+
533
+ 134
534
+ 00:12:07,510 --> 00:12:12,030
535
+ errorุŒ ู‡ุฐู‡ ู†ุงู‚ุต ู‡ุฐู‡ ุจุฑุถู‡ ุงู„ู€ errorุŒ ู‡ุฐู‡ ู†ุงู‚ุต ู‡ุฐู‡
536
+
537
+ 135
538
+ 00:12:12,030 --> 00:12:19,650
539
+ ุจุชุนุทูŠู†ุง ุฅูŠู‡ุŸ ุงู„ู€ errorุŒ ู…ูŠู† ุฃู‚ู„ ุชุฌุฑุจุฉ ุงู„ู€ error ุจูŠูƒูˆู†
540
+
541
+ 136
542
+ 00:12:19,650 --> 00:12:24,250
543
+ ููŠู‡ุง ุฃู‚ู„ ู…ุง ูŠู…ูƒู†ุŒ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ most accurateุŒ ุงู„ู€
544
+
545
+ 137
546
+ 00:12:24,250 --> 00:12:24,970
547
+ error ููŠู‡ุง ุงู„ู€ zero
548
+
549
+ 138
550
+ 00:12:28,340 --> 00:12:30,620
551
+ ุงู„ู€ second ู…ู† ู†ุงุญูŠุฉ ุงู„ู€ accuracyุŒ ุงู„ู€ error ููŠู‡ุง point
552
+
553
+ 139
554
+ 00:12:30,620 --> 00:12:35,500
555
+ oh fourุŒ ู‡ุฐู‡ ุฃุนู„ู‰ุŒ ููŠู‡ุง ุงู„ู€ error ุซู„ุงุซุฉุŒ ู‡ุฐู‡ ุฃุฑุจุนุฉุŒ ู„ูˆ
556
+
557
+ 140
558
+ 00:12:35,500 --> 00:12:38,980
559
+ ุงุนุชุจุฑุช ูˆุงู„ู„ู‡ ู„ุญุฏ point oh ุฎู…ุณุฉ ู…ู‚ุจูˆู„ุฉ ุนู†ุฏูŠุŒ ูุฃู†ุง
560
+
561
+ 141
562
+ 00:12:38,980 --> 00:12:44,560
563
+ ู‡ุฃุนุชุจุฑ ู‡ุฐู‡ุŒ ู‡ุฐู‡ ุงู„ุชุฌุฑุจุฉ accurateุŒ ู‡ุฐู‡ accurateุŒ ู‡ุฐู‡
564
+
565
+ 142
566
+ 00:12:44,560 --> 00:12:48,840
567
+ not accurateุŒ ูˆู‡ุฐู‡ not accurateุŒ ุงู„ุขู† ุฃู†ุง ุนุฑูุช ู…ูŠู†
568
+
569
+ 143
570
+ 00:12:48,840 --> 00:12:54,880
571
+ ููŠู‡ู… ุงู„ู€ most accurateุŒ ุจุณ ู…ุด ุจุงู„ุถุฑูˆุฑุฉ ุงู„ู†ุชูŠุฌุฉ ุทู„ุนุช
572
+
573
+ 144
574
+ 00:12:54,880 --> 00:12:58,120
575
+ accurate ุฅู†ู‡ุง ุชูƒูˆู† preciseุŒ ู…ู…ูƒู† ุชูƒูˆู† accurate and
576
+
577
+ 145
578
+ 00:12:58,120 --> 00:13:02,120
579
+ not preciseุŒ ุฃูˆ accurate ูˆ preciseุŒ ุฃูˆ not precise ูˆ
580
+
581
+ 146
582
+ 00:13:02,120 --> 00:13:11,120
583
+ accurateุŒ ูุงู„ุขู†
584
+
585
+ 147
586
+ 00:13:11,120 --> 00:13:15,810
587
+ ุงู„ู€ accuracy ุฃูˆ ุงู„ู€ precision ุจุชู…ุซู„ ุฅู† ุฃู†ุง ุจูŠุฏูŠ ุงุฏู‘ุงูŠุด
588
+
589
+ 148
590
+ 00:13:15,810 --> 00:13:19,810
591
+ ุจุนูŠุฏ ุนู† ุงู„ู€ average valueุŒ ุงู„ู€ average value ู„ู„ู‚ุฑุงุกุงุช
592
+
593
+ 149
594
+ 00:13:19,810 --> 00:13:23,450
595
+ ุจุชุงุนุชูŠุŒ ุงู„ู€ average value ู„ู„ู‚ุฑุงุกุงุช ุชุงุนุช ู…ุญู…ุฏ
596
+
597
+ 150
598
+ 00:13:23,450 --> 00:13:30,310
599
+ ู‡ูŠู‡ุง ู‡ุฐุง
600
+
601
+ 151
602
+ 00:13:30,310 --> 00:13:35,090
603
+ ุงู„ู€ average valueุŒ ูˆู‡ุฐุง ุงู„ู€ standard deviationุŒ ู‡ุงู„ู…ุฑู‘ุฉ
604
+
605
+ 152
606
+ 00:13:35,090 --> 00:13:42,660
607
+ ุงู„ู€ deviation ู„ู„ุจูŠุงู†ุงุช ู…ุด ุนู† ุงู„ู€ trueุŒ deviation ุนู† ุงู„ู€
608
+
609
+ 153
610
+ 00:13:42,660 --> 00:13:46,940
611
+ averageุŒ ู‡ุงู„ู€ deviation ุนู† ุงู„ู€ averageุŒ ู…ุด ู…ุด ุนู† ุงู„ู€
612
+
613
+ 154
614
+ 00:13:46,940 --> 00:13:53,120
615
+ trueุŒ ู„ุงุญุธ ุงู„ู€ standard deviation ููŠ ุชุฌุงุฑุจ ู…ุญู…ุฏ ุฃู‚ู„
616
+
617
+ 155
618
+ 00:13:53,120 --> 00:14:00,700
619
+ ุดูŠุกุŒ deviationุŒ ุงู†ุญุฑุงู ุจุนูŠุฏ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉุŒ ูŠุนู†ูŠ
620
+
621
+ 156
622
+ 00:14:00,700 --> 00:14:03,920
623
+ ุฏูŠ deviation point ุฃูˆ.. ุฃูˆ ุจู…ุนู†ู‰ ุฏูŠ ุงู„ู€ most precise
624
+
625
+ 157
626
+ 00:14:03,920 --> 00:14:11,470
627
+ ุงู„ู€ second preciseุŒ ู‡ูŠู‡ุง ุงู„ู€ standard deviationุŒ ู‡ุฐู‡
628
+
629
+ 158
630
+ 00:14:11,470 --> 00:14:17,970
631
+ ุจูŠุฌูŠ ุฑู‚ู… ุงุซู†ูŠู†ุŒ ุงู„ู€ third preciseุŒ ุงู„ู€ third precise
632
+
633
+ 159
634
+ 00:14:17,970 --> 00:14:21,510
635
+ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุดุŸ ุซู„ุงุซุฉุŒ ุฃู†ุง ุจุทู„ุน ุงู„ู€ standard deviation
636
+
637
+ 160
638
+ 00:14:21,510 --> 00:14:26,650
639
+ ุงู„ู€ fourth precise ู‡ุฐู‡
640
+
641
+ 161
642
+ 00:14:26,650 --> 00:14:30,790
643
+ ุงู„ู…ุนู†ู‰ ุฅู† ุฃู†ุง ู…ู…ูƒู† ุฃุนุชุจุฑ ู‡ุฐู‡ ู…ู† ู†ุงุญูŠุฉุŒ ู…ู† ู†ุงุญูŠุฉ ุงู„ู€
644
+
645
+ 162
646
+ 00:14:30,790 --> 00:14:36,330
647
+ precisionุŒ ู‡ุฐู‡ precise ูˆุจุชุนุชุจุฑ ุฃุญุฏ ุงุซู†ูŠู† ุงู„ู€
648
+
649
+ 163
650
+ 00:14:36,330 --> 00:14:40,810
651
+ preciseุŒ ู‡ุฐู‡ precise ูˆู‡ุฐู‡ preciseุŒ ู‡ุฐู‡ not precise
652
+
653
+ 164
654
+ 00:14:40,810 --> 00:14:50,750
655
+ not preciseุŒ ูŠุนู†ูŠ
656
+
657
+ 165
658
+ 00:14:50,750 --> 00:14:58,230
659
+ ุชุฌุฑุจุฉ ู†ูˆุฑ ู‡ูŠ ุงู„ู€ most accurate and most preciseุŒ ู…ุน
660
+
661
+ 166
662
+ 00:14:58,230 --> 00:15:02,070
663
+ ุงู„ุนู„ู… ู…ู† ู†ุงุญูŠุฉ ุงู„ู€ precisionุŒ ุฌุงูŠุฉ ู†ูˆุฑ ุฑู‚ู… ุงุซู†ูŠู†
664
+
665
+ 167
666
+ 00:15:02,070 --> 00:15:10,370
667
+ ุชุฌุฑุจุฉ ู…ุญู…ุฏุŒ it's not accurate ู„ุฃู† ุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ
668
+
669
+ 168
670
+ 00:15:10,370 --> 00:15:16,470
671
+ ุจุนูŠุฏุฉ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉุŒ not accurate ู„ูƒู† ุนู†ุฏู‡
672
+
673
+ 169
674
+ 00:15:16,470 --> 00:15:20,730
675
+ precisionุŒ ุงู„ู‚ุฑุงุกุงุช ูƒู„ู‡ุง ู…ุชู‚ุงุฑุจุฉ ู…ุน ุจุนุถุŒ ุงู„ู‚ุฑุงุกุงุช
676
+
677
+ 170
678
+ 00:15:20,730 --> 00:15:30,690
679
+ ู…ุชู‚ุงุฑุจุฉ ู…ุน ุจุนุถุŒ ูู‡ุฐู‡ not accurate ู„ูƒู† preciseุŒ ู‡ุฐู‡
680
+
681
+ 171
682
+ 00:15:30,690 --> 00:15:34,830
683
+ neither accurate nor preciseุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุด accurate
684
+
685
+ 172
686
+ 00:15:35,820 --> 00:15:40,200
687
+ ุฃูˆ ู…ุด precise ู„ุฃู† ุงู„ู‚ุฑุงุกุงุช ู…ุชุจุงุนุฏุฉ ุนู† ุจุนุถุŒ ุฑู‚ู… ูˆุงุญุฏ
688
+
689
+ 173
690
+ 00:15:40,200 --> 00:15:43,700
691
+ ูˆุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ุจุนูŠุฏุฉ ุนู† ุงู„ู‚ูŠู…ุฉ ุงู„ุญู‚ูŠู‚ูŠุฉุŒ not
692
+
693
+ 174
694
+ 00:15:43,700 --> 00:15:49,180
695
+ accurateุŒ ู‡ุฐู‡ accurate and not preciseุŒ ุงู„ู‚ูŠู…ุฉ
696
+
697
+ 175
698
+ 00:15:49,180 --> 00:15:55,680
699
+ ู…ุชุจุงุนุฏุฉ ุนู† ุจุนุถุŒ ูˆุงู„ู‚ูŠู…ุฉ ุงู„ู…ุชูˆุณุทุฉ ู‚ุฑูŠุจุฉ ู…ู† ุฅูŠุดุŸ ู…ู†
700
+
701
+ 176
702
+ 00:15:55,680 --> 00:16:01,540
703
+ ุงู„ู€ true valueุŒ ุฃูˆุถุญ ุงู„ูุฑู‚ ุจูŠู† accurate ูˆ preciseุŒ ุขู‡
704
+
705
+ 177
706
+ 00:16:01,540 --> 00:16:07,100
707
+ ู„ูˆ ูƒุงู†ุช ู…ุซู„ู‹ุง ุงู„ู€.. ุงู„ู€.. ูŠุนู†ูŠ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ true ูˆ
708
+
709
+ 178
710
+ 00:16:07,100 --> 00:16:09,440
711
+ ุงู„ู€ meanุŒ ุจุงู„ู†ุณุจุฉ.. ูŠุนู†ูŠ ุงู„ู…ู‚ุฏุงุฑ ู„ุงุฒู… ูŠูƒูˆู† ุจุงู„ู†ุณุจุฉ
712
+
713
+ 179
714
+ 00:16:09,440 --> 00:16:12,400
715
+ ุนุดุงู† ุฃุญูƒูŠ ุนู†ู‡ุง accurate ูˆู„ุง.. ุฃู†ุช ุงู„ู„ูŠ ุจุชุญุฏุฏ ุญุณุจ
716
+
717
+ 180
718
+ 00:16
719
+
720
+ 223
721
+ 00:20:27,230 --> 00:20:32,180
722
+ a sensitive change of an instrument's output per unit
723
+
724
+ 224
725
+ 00:20:32,180 --> 00:20:36,880
726
+ change in measured quantity ุงูˆ input ุจู…ุนู†ู‰ ุฅุฐุง
727
+
728
+ 225
729
+ 00:20:36,880 --> 00:20:42,700
730
+ ุฃู†ุฏู‡ ุฃู†ุง ุฌู‡ุงุฒ ุฃูŠ
731
+
732
+ 226
733
+ 00:20:42,700 --> 00:20:47,460
734
+ ู…ุงุชูŠุฑ ููŠ ุงู„ุฏู†ูŠุง ู„ู…ุง ุฃุณุฎู†ู‡ุง ุงู„ู…ู‚ุงูˆู…ุฉ ุจุชุงุนุชู‡ุง
735
+
736
+ 227
737
+ 00:20:47,460 --> 00:20:55,860
738
+ ุจุชุฎุชู„ูุŒ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุชุงุนุชู‡ุง ุจุชุฎุชู„ู ู„ุฃู† ู„ูˆ ุฃุฎุฏุช ู…ุซู„ุง
739
+
740
+ 228
741
+ 00:20:55,860 --> 00:21:01,880
742
+ ู…ุงุฏุฉ material one ูˆุนู†ุฏูŠ material two
743
+
744
+ 229
745
+ 00:21:01,880 --> 00:21:06,840
746
+ ุชุชุบูŠุฑ ู„ู…ุง ุชุตุจุญ temperature difference ุนู„ูŠุง ุงู„ู…ู‚ุงูˆู…ุฉ
747
+
748
+ 230
749
+ 00:21:06,840 --> 00:21:13,320
750
+ ู‡ุชุชุบูŠุฑุŒ ู…ุนู†ุงุชู‡ ุงู„ input ุจุชุงุนูŠ ุนุจุงุฑุฉ
751
+
752
+ 231
753
+ 00:21:13,320 --> 00:21:17,180
754
+ ุนู† ุฏุฑุฌุฉ ุญุฑุงุฑุฉุŒ ุงู„ output ุงู„ู„ูŠ ุจุดูˆูู‡ ุฃู†ุง ู…ุด ุจุดูˆู
755
+
756
+ 232
757
+ 00:21:17,180 --> 00:21:24,900
758
+ ุญุฑุงุฑุฉ ู…ู‚ุงูˆู…ุฉุŒ ุงู„ output ุงู„ู„ูŠ
759
+
760
+ 233
761
+ 00:21:24,900 --> 00:21:30,000
762
+ ู‡ูŠ resistanceุŒ ุฃู†ุง ุงู„ู„ูŠ ุจูŠุตูŠุฑ ุนู†ุฏูŠ ุนุงุฏุฉ delta T
763
+
764
+ 234
765
+ 00:21:30,000 --> 00:21:34,020
766
+ temperature differenceุŒ ุจูŠุตูŠุฑ ุนู†ุฏูŠ delta T
767
+
768
+ 235
769
+ 00:21:34,020 --> 00:21:38,440
770
+ temperature differenceุŒ ุจูŠุนุทูŠู†ุง difference ููŠู‡ุงุด ููŠ
771
+
772
+ 236
773
+ 00:21:38,440 --> 00:21:43,200
774
+ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ุงู„ sensitivity ููŠ ุญุงู„ุฉ ู‡ุฐุง ุงู„ุฌู‡ุงุฒ ู‡ุฐุง
775
+
776
+ 237
777
+ 00:21:43,200 --> 00:21:46,300
778
+ ู‡ุชุณุงูˆูŠ
779
+
780
+ 238
781
+ 00:21:46,300 --> 00:21:54,360
782
+ delta R ุนู„ู‰
783
+
784
+ 239
785
+ 00:21:54,360 --> 00:22:02,040
786
+ delta TุŒ ุฅุฐุง ุงู„ู…ุงุฏุฉ ุงู„ูˆุงุญุฏุฉุŒ ุงู„ุชุบูŠุฑ
787
+
788
+ 240
789
+ 00:22:02,040 --> 00:22:08,820
790
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุจุงู„ู†ุณุจุฉ ู„ุชุบูŠุฑ ุงู„ุญุฑุงุฑุฉ ุบูŠุฑ ู…ู„ุญูˆุธุŒ ู‡ู„
791
+
792
+ 241
793
+ 00:22:08,820 --> 00:22:17,000
794
+ ุงู„ู…ุงุฏุฉ ุฏูŠ ุญุณุงุณุฉุŸ ุฅุฐุง ูƒุงู† ุงู„ุชุบูŠุฑ ููŠ ู…ู‚ุงูˆู…ุฉ ุงู„ู…ุงุฏุฉ ูˆุงุญุฏุฉ
795
+
796
+ 242
797
+ 00:22:17,000 --> 00:22:21,620
798
+ ุจุงู„ู†ุณุจุฉ ู„ุชุบูŠุฑ ุงู„ุญุฑุงุฑุฉ ุบูŠุฑ ู…ู„ุญูˆุธุŒ ู…ุนู†ุงุชู‡ ุฏูŠ ู…ุด ุญุณุงุณุฉุŒ ุฅุฐุง
799
+
800
+ 243
801
+ 00:22:21,620 --> 00:22:28,520
802
+ ุงู„ู…ุงุฏุฉ...ู…ุงุฏุฉ ุฑู‚ู… ุงุชู†ูŠู†ุŒ ุฅุฐุง ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ุน ุชุบูŠุฑ
803
+
804
+ 244
805
+ 00:22:28,520 --> 00:22:32,160
806
+ ููŠ ุงู„ุญุฑุงุฑุฉ ู…ู„ุญูˆุธุŒ ู…ุนู†ุงุชู‡ ุจุฃุญูƒูŠ ู‡ุฐู‡ ุงู„ู…ุงุฏุฉ sensitive
807
+
808
+ 245
809
+ 00:22:32,160 --> 00:22:39,560
810
+ ู‡ุฐู‡ not sensitiveุŒ ุนุดุงู† ุฐู„ูƒ ู…ุง ูŠู†ูุนุด ุฃูŠ ู…ุงุฏุฉ ุฃุญุทู‡ุง
811
+
812
+ 246
813
+ 00:22:39,560 --> 00:22:43,760
814
+ ุนุดุงู† ุฃุชู‚ูŠุณ ุงู„ุญุฑุงุฑุฉุŒ ู„ุฃู† ูƒู„ ู…ุงุฏุฉ ููŠ ุงู„ุฏู†ูŠุง ุจุชุชุบูŠุฑ
815
+
816
+ 247
817
+ 00:22:43,760 --> 00:22:48,500
818
+ ู…ู‚ุงูˆู…ุชู‡ุง ู…ุน ุงู„ุญุฑุงุฑุฉุŒ ู…ุธุจูˆุทุŸ ููŠ ู…ูˆุงุฏ ุฎุงุตุฉ sensitive
819
+
820
+ 248
821
+ 00:22:48,500 --> 00:22:53,500
822
+ ู„ู„ุชุบูŠุฑ ููŠ ุงู„ input parameterุŒ ููŠ ุงู„ุญุงู„ุฉ ุงู„ู„ูŠ ู‡ุชุนู†ู‰
823
+
824
+ 249
825
+ 00:22:53,500 --> 00:23:01,340
826
+ ุงู„ temperatureุŒ ููŠ ุณุคุงู„ ุจุงู„ุธุจุท
827
+
828
+ 250
829
+ 00:23:01,340 --> 00:23:05,520
830
+ ุจุฏูƒ ู…ูˆุงุฏ ู…ุนูŠู†ุฉุŒ ู…ู…ูƒู† ุชุฌูŠุจ ู…ุซู„ุง ุณูŠุฎ ุญุฏูŠุฏุŒ ูˆู‡ุชุญุณ
831
+
832
+ 251
833
+ 00:23:05,520 --> 00:23:08,520
834
+ ุงู„ู„ูŠ ุจุชุนู…ู„ ู…ู†ู‡ ุฌู‡ุงุฒ ู„ู‚ูŠุงุณ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู‡ูˆ ุจูŠุทูŠู„ูƒ
835
+
836
+ 252
837
+ 00:23:08,520 --> 00:23:12,220
838
+ ุชุบูŠุฑุŒ but it's not sensitive enough to be detected
839
+
840
+ 253
841
+ 00:23:12,220 --> 00:23:14,380
842
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ู‚ูŠุงุณู‡
843
+
844
+ 254
845
+ 00:23:17,340 --> 00:23:22,980
846
+ ูุงู„ุฌู‡ุงุฒุŒ ูƒู„ ู…ุง ุงุฑุชูุนุช ุญุณุงุณูŠุชู‡ุŒ ู…ุนู†ุงุชู‡ ุจูŠุนุทูŠู†ูŠ output
847
+
848
+ 255
849
+ 00:23:22,980 --> 00:23:26,680
850
+ ุชุบูŠุฑ ููŠ ุงู„ output ูƒุจูŠุฑ ู…ุน ุชุบูŠุฑ ุตุบูŠุฑ ููŠ ุงู„ input
851
+
852
+ 256
853
+ 00:23:26,680 --> 00:23:32,050
854
+ ู‡ุฐู‡ ู…ุนู†ุงุชู‡ sensitive deviceุŒ ู…ุนู†ุงุชู‡ an instrument
855
+
856
+ 257
857
+ 00:23:32,050 --> 00:23:33,950
858
+ with higher sensitivity will also have finer
859
+
860
+ 258
861
+ 00:23:33,950 --> 00:23:35,750
862
+ resolutionุŒ ุฅุฐุง ุงู„ sensitivity ุจุชุจู‚ู‰ ุชุนุทูŠู†ุง
863
+
864
+ 259
865
+ 00:23:35,750 --> 00:23:38,850
866
+ resolution ุฃุนู„ู‰ุŒ ุงู„ุขู† ู…ุซู„ุง ููŠ ุงู„ thermocouples
867
+
868
+ 260
869
+ 00:23:38,850 --> 00:23:45,650
870
+ ุงู„ุฌู‡ุงุฒ ุจุชุจู‚ู‰...ุงู„ู…ุฌุณุงุช ุจุชุณุชุฎุฏู… ููŠู‡ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉ ู…ุด
871
+
872
+ 261
873
+ 00:23:45,650 --> 00:23:49,830
874
+ ูƒู„ู‡ุง ุจุชุนุทูŠู†ุง ู†ูุณ ุงู„ุญุณุงุณูŠุฉุŒ ุงู„ sensitivityุŒ ุนุดุงู†ูƒ ุฅุฐุง
875
+
876
+ 262
877
+ 00:23:49,830 --> 00:23:52,310
878
+ ุงู„...ุฅุฐุง ุงู„ sensor ู…ุตู†ูˆุน ู…ู† material ูˆุงุญุฏ
879
+
880
+ 263
881
+ 00:23:52,310 --> 00:23:56,110
882
+ ุจูŠุนุทูŠู†ุง ูˆุงู„ู„ู‡ resolutionุŒ ุงูˆ resolution ู…ุซู„ุง plus
883
+
884
+ 264
885
+ 00:23:56,110 --> 00:24:01,380
886
+ or minus one degreeุŒ ุฌู‡ุงุฒ ู…ุตู†ูˆุน ู…ู† material 2 ูˆู‡ุฐู‡
887
+
888
+ 265
889
+ 00:24:01,380 --> 00:24:06,620
890
+ ุญุณุงุณุฉ ูƒุชูŠุฑุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃุณุชุทูŠุน ุฃูƒุชุดู ุจุณู‡ูˆู„ุฉ ุงู„ output
891
+
892
+ 266
893
+ 00:24:06,620 --> 00:24:25,020
894
+ ุจู…ุนู†ุงุชู‡ ุจูŠูƒูˆู† ุจูŠุนุทูŠู†ูŠ resolution ุฃุนู„ู‰ุŒ ุทูŠุจ
895
+
896
+ 267
897
+ 00:24:30,270 --> 00:24:35,030
898
+ ู„ูˆ ุฃุฎุฏู†ุง ุฌู‡ุงุฒ ู‚ูŠุงุณ ุงู„...ุงู„...ุงู„ voltageุŒ ุงู„
899
+
900
+ 268
901
+ 00:24:35,030 --> 00:24:53,530
902
+ galvanometerุŒ ุงู„ galvanometer ุจูŠูƒูˆู† ู…ุฏุฑุฌุŒ ุญุทูŠุช
903
+
904
+ 269
905
+ 00:24:53,530 --> 00:24:54,030
906
+ voltage
907
+
908
+ 270
909
+ 00:24:59,610 --> 00:25:07,370
910
+ ุงู„ู…ุคุดุฑ ุฃุนุทุงู†ูŠ ุงู„ู‚ุฑุงุกุฉุŒ ู‡ุฐู‡ ู‡ุฐุง ุงู„ resolutionุŒ ุตุญุŸ ู‡ุฐุง
911
+
912
+ 271
913
+ 00:25:07,370 --> 00:25:14,570
914
+ ุฅูŠุด ุงู„ resolution ุฃู†ุง
915
+
916
+ 272
917
+ 00:25:14,570 --> 00:25:19,930
918
+ ูƒู…ุณุชุฎุฏู… ูˆูƒุชูŠุฑ ุจุณุชุฎุฏู… ุงู„ุฌู‡ุงุฒ ู‡ุฐุงุŒ ู…ู…ูƒู† ุฃุนุทูŠ ุฏู‚ุฉ
919
+
920
+ 273
921
+ 00:25:19,930 --> 00:25:24,550
922
+ ุฃูƒุซุฑ ู…ู† ุงู„ resolutionุŒ ุงูˆ precisionุŒ ุฃุนุทูŠ precision
923
+
924
+ 274
925
+ 00:25:24,550 --> 00:25:29,870
926
+ ุฃูƒุซุฑ ู…ู† ุงู„ resolutionุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ุฃุญูƒูŠ ุชู‚ุฑูŠุจุง ู„ูˆ
927
+
928
+ 275
929
+ 00:25:29,870 --> 00:25:34,990
930
+ ุญูƒูŠุช ู‡ุฐู‡ ุนุดุฑุฉุŒ ู‡ุฐู‡ ุฃุญุฏ ุนุดุฑุŒ ู…ู…ูƒู† ุฃุญูƒูŠ ู‡ุฐู‡ ุนุดุฑุฉ point
931
+
932
+ 276
933
+ 00:25:34,990 --> 00:25:43,470
934
+ ุซู„ุงุซุฉ ุนุดุฑ point ุซู„ุงุซุฉุŒ ูู…ู…ูƒู† ุฃุญูƒูŠ ู„ู‡ุง plus or
935
+
936
+ 277
937
+ 00:25:43,470 --> 00:25:48,890
938
+ minus ูˆุงุญุฏุŒ ูŠุนู†ูŠ ู‡ุฐู‡ plus or minus ู†ุตุŒ ูŠุนู†ูŠ ุฃู†ุง ู„ูˆ
939
+
940
+ 278
941
+ 00:25:48,890 --> 00:25:53,170
942
+ ูƒุงู†ุช ููŠ ุงู„ู†ุตุŒ ู‡ูŠูƒูˆู† maximum ู†ุต ุจุงู„ plus ุฃูˆ ู†ุต ุจุงู„
943
+
944
+ 279
945
+ 00:25:53,170 --> 00:25:59,530
946
+ minusุŒ ู…ู…ูƒู† ุฃุญุตู„ ุญุชู‰ ู„ุฎู…ุณุฉุŒ ุทุจุนุง ุจุชุนุชู…ุฏ ุนู„ู‰ ุฎุจุฑุฉ
947
+
948
+ 280
949
+ 00:25:59,530 --> 00:26:09,430
950
+ ุงู„ู…ุณุชุฎุฏู… ููŠ ุงู„ุชู‚ุฏูŠุฑุŒ ุทุจุนุง
951
+
952
+ 281
953
+ 00:26:09,430 --> 00:26:13,370
954
+ ุงู„ error ููŠ ุงู„ู‚ุฑุงุกุฉุŒ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ bias ุฃูˆ
955
+
956
+ 282
957
+ 00:26:13,370 --> 00:26:21,690
958
+ systematicุŒ ุฃูˆ precisionุŒ ู…ุชู‰ ุจูŠูƒูˆู† precision ุฃูˆ
959
+
960
+ 283
961
+ 00:26:21,690 --> 00:26:27,410
962
+ random errorุŸ ุงู„ precision ุฅุฐุง...ุฅุฐุง ุชู‚ุฏูŠุฑู‡ ุฃูˆ
963
+
964
+ 284
965
+ 00:26:27,410 --> 00:26:30,470
966
+ ู‚ุฑุงุกุฉ ุงู„...ุงู„...ุงู„ุดุฎุต ุงู„ู„ูŠ ุจูŠุนู…ู„ ุงู„ุชุฌุฑุจุฉ ู…ุด
967
+
968
+ 285
969
+ 00:26:30,470 --> 00:26:34,890
970
+ ุฏุงูŠู…ุง ุจุชูƒูˆู† ููŠ ุงุชุฌุงู‡ ูˆุงุญุฏุŒ ูŠุนู†ูŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ุจูŠู‚ุฏุฑ
971
+
972
+ 286
973
+ 00:26:34,890 --> 00:26:39,350
974
+ ุฃุนู„ู‰ ุดูˆูŠุฉุŒ ูˆุจุนุถ ุงู„ุฃุญูŠุงู† ุฃู‚ู„ ุดูˆูŠุฉุŒ ู‡ุฐุง ุงู„ precision
975
+
976
+ 287
977
+ 00:26:39,350 --> 00:26:46,750
978
+ ุจุชูƒูˆู† biasุŒ ุฅุฐุง ุฏุงูŠู…ุง ุจูŠู‚ุฏุฑ ููŠ ุงุชุฌุงู‡ ู…ุนูŠู†ุŒ ููŠ ู†ุงุณ
979
+
980
+ 288
981
+ 00:26:46,750 --> 00:26:51,900
982
+ ู…ุซู„ุง ุจุชุญุจ ุชุฒูˆุฏ ุดูˆูŠุฉุŒ ูุจูŠุนู…ู„ biasุŒ ุงู†ุญุฑุงูุŒ ููŠ ู†ุงุณ ุจุชุญุจ
983
+
984
+ 289
985
+ 00:26:51,900 --> 00:26:58,000
986
+ ุชู‚ู„ู„ ุดูˆูŠุฉุŒ ูˆุจุฑุถู‡ ุงู†ุญุฑุงูุŒ ุงุชุฌุงู‡ ุงู„ุณุงู„ุจุŒ ูุญุณุจ ูŠุนู†ูŠ
987
+
988
+ 290
989
+ 00:26:58,000 --> 00:27:05,400
990
+ ูˆูŠูƒูˆู† ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ bias ุฃูˆ...ุฃูˆ random ุฃูˆ
991
+
992
+ 291
993
+ 00:27:05,400 --> 00:27:11,660
994
+ precisionุŒ ู„ู…ุง
995
+
996
+ 292
997
+ 00:27:11,660 --> 00:27:17,020
998
+ ู†ุญุณุจ ุงู„ uncertaintyุŒ ุงู„ุฎุทุฃ ููŠ ุงู„ุชุฌุงุฑุจุŒ ุงุญู†ุง ุจู†ูƒูˆู†
999
+
1000
+ 293
1001
+ 00:27:17,020 --> 00:27:23,440
1002
+ ู…ู‡ุชู…ูŠู† ุจู†ูˆุนูŠู† ู…ู† ุงู„ุฃุฎุทุงุกุŒ ูˆู†ูˆุนูŠู† ู…ู† ุงู„ุชุฌุงุฑุจ
1003
+
1004
+ 294
1005
+ 00:27:23,440 --> 00:27:26,760
1006
+ ุงู„ู†ูˆุนูŠู† ู…ู† ุงู„ุฃุฎุทุงุก ุงู„ู„ูŠ ู‡ู… ุงู„ precision ุฃูˆ ุงู„
1007
+
1008
+ 295
1009
+ 00:27:26,760 --> 00:27:31,520
1010
+ random errorsุŒ ูˆุงู„ bias ุฃูˆ systematic errorsุŒ ูˆ
1011
+
1012
+ 296
1013
+ 00:27:31,520 --> 00:27:34,720
1014
+ ู†ูˆุนูŠู† ู…ู† ุงู„ุชุฌุงุฑุจ ุงู„ู„ูŠ ู‡ูŠ single sample experiments
1015
+
1016
+ 297
1017
+ 00:27:34,720 --> 00:27:39,720
1018
+ ุจุชูƒูˆู† ุนู†ุฏูŠ ุชุฌุฑุจุฉ ุจุณ ุจุฃุฎุฐ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ูˆููŠ repeat
1019
+
1020
+ 298
1021
+ 00:27:39,720 --> 00:27:42,000
1022
+ sample experimentุŒ ูŠุนู†ูŠ repeat sample experiment
1023
+
1024
+ 299
1025
+ 00:27:42,000 --> 00:27:46,310
1026
+ ุจุฃุฎุฐุŒ ุจูƒุฑุฑ ุงู„ู‚ุฑุงุกุงุชุŒ ู‡ุฐุง repeat sampleุŒ ูŠุนู†ูŠ ุงุญู†ุง
1027
+
1028
+ 300
1029
+ 00:27:46,310 --> 00:27:52,570
1030
+ ู…ู‡ุชู…ูŠู† ููŠ ุชู‚ุฏูŠุฑู†ุง ู„ู„ุฎุทุฃ ููŠ ุงู„ุชุฌุงุฑุจุŒ ุจู†ูˆุนูŠู† ู…ู† ุงู„
1031
+
1032
+ 301
1033
+ 00:27:52,570 --> 00:27:56,850
1034
+ errorุŒ ูˆู†ูˆุนูŠู† ู…ู† ุงู„ุชุฌุงุฑุจุŒ ู†ูˆุนูŠู† ุงู„ error ุงู„ู„ูŠ ู‡ูˆ ุงู„
1035
+
1036
+ 302
1037
+ 00:27:56,850 --> 00:28:00,490
1038
+ systematic ุฃูˆ ุงู„ bias errorุŒ ูˆุงู„ precision ุฃูˆ ุงู„
1039
+
1040
+ 303
1041
+ 00:28:00,490 --> 00:28:03,630
1042
+ random errorุŒ ูˆุงู„ two class of experiment ุงู„ู„ูŠ ู‡ูˆ
1043
+
1044
+ 304
1045
+ 00:28:03,630 --> 00:28:06,110
1046
+ single sample experimentsุŒ ูˆ repeat sample
1047
+
1048
+ 305
1049
+ 00:28:06,110 --> 00:28:10,110
1050
+ experimentsุŒ ุทุจุนุง
1051
+
1052
+ 306
1053
+ 00:28:10,110 --> 00:28:13,710
1054
+ ุงู„ sampleุŒ ุงู„ sample refers to an individual
1055
+
1056
+ 307
1057
+ 00:28:13,710 --> 00:28:18,570
1058
+ measurement of a specific quantityุŒ ุงู„ sample ุจุชู…ุซู„
1059
+
1060
+ 308
1061
+ 00:28:18,570 --> 00:28:24,390
1062
+ ู‚ูŠุงุณ ูˆุงุญุฏุŒ ุฃูˆ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉ ู„ูƒู…ูŠุฉ ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุงุŒ ู‡ุฐู‡ ู‡ูŠ
1063
+
1064
+ 309
1065
+ 00:28:24,390 --> 00:28:30,530
1066
+ ุงู„ sample pointุŒ ู„ู…ุง
1067
+
1068
+ 310
1069
+ 00:28:30,530 --> 00:28:37,650
1070
+ ุฃู†ุง ุฃู‚ูŠุณ ุทูˆู„ ู‚ุทุนุฉ ุฌูˆุงู„ุŒ ูˆู‚ุทุนุฉ caliber ู„ูƒู„ ูˆุงุญุฏ
1071
+
1072
+ 311
1073
+ 00:28:37,650 --> 00:28:42,280
1074
+ ููŠูƒู…ุŒ ุฃูˆ ู†ูุณ ุงู„ caliberุŒ ูˆู†ูุณ ุงู„ู‚ุทุนุฉุŒ ูˆูƒู„ ูˆุงุญุฏ ุฃุฎุฏ
1075
+
1076
+ 312
1077
+ 00:28:42,280 --> 00:28:49,220
1078
+ ู‚ุฑุงุกุฉุŒ ู‡ุงู„ู‚ุฑุงุกุงุช ู‡ุชุทู„ุน ู†ูุณ ุงู„ุดูŠุก ูƒู„ู‡ุงุŸ ู…ุนู†ุงุชู‡ ุฃู†ุง
1079
+
1080
+ 313
1081
+ 00:28:49,220 --> 00:28:52,140
1082
+ ุนู†ุฏูŠ ู‡ุฐู‡ repeat sample experimentุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃุฎุฏุช
1083
+
1084
+ 314
1085
+ 00:28:52,140 --> 00:28:58,680
1086
+ ุนุฏูŠุฏ ู…ู† ุงู„ู‚ุฑุงุกุงุช ููŠ
1087
+
1088
+ 315
1089
+ 00:28:58,680 --> 00:29:04,000
1090
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุนู„ู‰ ุงู„ุฃุบู„ุจ ุงู„ุงุฎุชู„ุงู ููŠ ุงู„ู‚ุฑุงุกุงุช ู‡ูŠูƒูˆู†
1091
+
1092
+ 316
1093
+ 00:29:04,000 --> 00:29:08,440
1094
+ precision ุฃูˆ random errorsุŒ ุทุงู„ู…ุง ุฅู† ู‡ูŠ precision
1095
+
1096
+ 317
1097
+ 00:29:08,440 --> 00:29:12,320
1098
+ ุฃูˆ random errorsุŒ ู…ู…ูƒู† ู†ู„ุฌุฃ ู„ู„ุทุฑู‚ ุงู„ุฅุญุตุงุฆูŠุฉ ููŠ
1099
+
1100
+ 318
1101
+ 00:29:12,320 --> 00:29:15,920
1102
+ ุญุณุงุจุงุช ุงู„ุฎุทุฃุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ุชู‚ุฏูŠุฑ ุงู„ุฎุทุฃ ุจุงุณุชุฎุฏุงู… ุทุฑู‚
1103
+
1104
+ 319
1105
+ 00:29:15,920 --> 00:29:22,340
1106
+ ุงู„ุฅุญุตุงุก ุงู„ู…ุนู‡ูˆุฏุฉุŒ ุฅุฐุง
1107
+
1108
+ 320
1109
+ 00:29:22,340 --> 00:29:27,020
1110
+ ุฃุฎุฐุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ุฃุฎุฐุช ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ู‡ู„ ู…ู…ูƒู† ุฃู‚ุฏุฑ
1111
+
1112
+ 321
1113
+ 00:29:27,020 --> 00:29:33,510
1114
+ ุงู„ุฎุทุฃุŸ ู„ูŠุดุŸ ู„ุฃู† ุนู†ุฏูŠ ุฎุทุฃ...ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ูˆุงุญุฏุฉุŒ ู…ุงููŠุด
1115
+
1116
+ 322
1117
+ 00:29:33,510 --> 00:29:37,810
1118
+ distributionุŒ ู…ุงููŠุด ุชูˆุฒูŠุนุŒ ู…ุธุจูˆุทุŸ ูˆุจุงู„ุชุงู„ูŠ ู…ุง ุฃู‚ุฏุฑุด
1119
+
1120
+ 323
1121
+ 00:29:37,810 --> 00:29:43,690
1122
+ ุฃุญุฏุฏ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„ู‚ุฑุงุกุฉุŒ ูุนุดุงู† ุฃุญุฏุฏ ู†ุณุจุฉ ุงู„ุฎุทุฃ
1123
+
1124
+ 324
1125
+ 00:29:43,690 --> 00:29:47,950
1126
+ ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ุนุฏูŠุฏ ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ุนุดุงู† ุฃุณุชุฎุฏู… ุงู„ุทุฑู‚
1127
+
1128
+ 325
1129
+ 00:29:47,950 --> 00:29:54,270
1130
+ ุงู„ุฅุญุตุงุฆูŠุฉ ููŠ ุญุณุงุจ ุงู„...ุงู„ precision errorุŒ ู„ูƒู†
1131
+
1132
+ 326
1133
+ 00:29:54,270 --> 00:29:59,400
1134
+ ุงู„ุฎุทุฃ ุจุดูƒู„ ุฃุณุงุณูŠ ุนู†ุฏู†ุง ู†ูˆุนูŠู†ุŒ ุงู„ู„ูŠ ู‡ูˆ systematic ุฃูˆ
1135
+
1136
+ 327
1137
+ 00:29:59,400 --> 00:30:04,520
1138
+ ู…ุง ูŠุณู…ู‰ bias errorุŒ ูˆูุนู„ุง ุงู„ู„ูŠ ู‡ูˆ precision ุฃูˆ...
1139
+
1140
+ 328
1141
+ 00:30:04,520 --> 00:30:08,980
1142
+ ุฃูˆ random errorุŒ ุฏุงูŠู…ุง ุงู„ bias ุฃูˆ ุงู„ systematic
1143
+
1144
+ 329
1145
+ 00:30:08,980 --> 00:30:13,580
1146
+ ุจูŠูƒูˆู† ููŠ one directionุŒ ุฏุงูŠู…ุง ุงู„ุฎุทุฃ ุงู„...ุงู„...ุงู„
1147
+
1148
+ 330
1149
+ 00:30:13,580 --> 00:30:16,740
1150
+ random ุฃูˆ ุงู„ precision ุจูŠูƒูˆู† fluctuationุŒ ุจูŠูƒูˆู†
1151
+
1152
+ 331
1153
+ 00:30:16,740 --> 00:30:22,000
1154
+ ูŠุชุฐุจุฐุจ ุญูˆู„ ุงู„ central pointุŒ up and downุŒ ุฅุฐุง ูƒุงู†
1155
+
1156
+ 332
1157
+ 00:30:22,000 --> 00:30:24,740
1158
+ ู†ุณุจุฉ ุงู„ุฎุทุฃ ููŠ ุงู„...ุงู„...ุงู„...ููŠ ุงู„ bias
1159
+
1160
+ 333
1161
+ 00:30:24,740 --> 00:30:28,500
1162
+ uncertaintyุŒ ุงู„ุฎุทุฃ ููŠ ุงู„ due to bias errorุŒ ู†ุณู…ูŠู‡ุง Px
1163
+
1164
+ 334
1165
+ 00:30:28,500 --> 00:30:35,160
1166
+ ูˆุงู„ุฎุทุฃ due to precision errorุŒ ู†ุณู…ูŠู‡ุง PxุŒ ู‡ูŠูƒูˆู† ุงู„
1167
+
1168
+ 335
1169
+ 00:30:35,160 --> 00:30:39,860
1170
+ total uncertaintyุŒ ุงู„ุฎุทุฃ ุงู„ูƒู„ูŠ UxุŒ ุฌุฐุฑ ุชุฑุจูŠุน ู„ Px
1171
+
1172
+ 336
1173
+ 00:30:39,860 --> 00:30:47,020
1174
+ ุชุฑุจูŠุน ุฒุงุฆุฏ Px ุชุฑุจูŠุนุŒ ุฃู‚ุตู‰ ู†ุตุŒ ู†ุดูˆู
1175
+
1176
+ 337
1177
+ 00:30:47,020 --> 00:30:47,440
1178
+ ู…ุซุงู„
1179
+
1180
+ 338
1181
+ 00:30:53,260 --> 00:31:01,440
1182
+ a brass rodุŒ ุนู…ูˆุฏ ู…ุตู†ูˆุน ู…ู† ุจุฑุงุณุŒ is repeatedly loaded
1183
+
1184
+ 339
1185
+ 00:31:01,440 --> 00:31:06,220
1186
+ to a fixed tensile loadุŒ and the axial strain in
1187
+
1188
+ 340
1189
+ 00:31:06,220 --> 00:31:09,340
1190
+ the rod is determined using a strain gaugeุŒ ู„ุฃู† ููŠ
1191
+
1192
+ 341
1193
+ 00:31:09,340 --> 00:31:19,300
1194
+ ุนู†ุฏูŠ rodุŒ I apply ุงู„ู„ูŠ ู‡ูˆ tensile
1195
+
1196
+ 342
1197
+ 00:31:19,300 --> 00:31:25,380
1198
+ load force ุนู„ูŠู‡ุŒ ู†ูุณ ุงู„ู‚ูŠู…ุฉ ุฏุงุฆู…ุงุŒ ูˆุญุงุทุท ุฃู†ุง ู‡ู†ุง
1199
+
1200
+ 343
1201
+ 00:31:25,380 --> 00:31:28,940
1202
+ strain
1203
+
1204
+ 344
1205
+ 00:31:28,940 --> 00:31:37,580
1206
+ gaugeุŒ ู…ุซุจุช strain gaugeุŒ ู†ุชูŠุฌุฉ
1207
+
1208
+ 345
1209
+ 00:31:37,580 --> 00:31:42,380
1210
+ ุงู„ forceุŒ ุญุงุณุจุฉ deformation ููŠ ุงู„ู…ุงุฏุฉุŒ ุงู„
1211
+
1212
+ 346
1213
+ 00:31:42,380 --> 00:31:45,200
1214
+ deformationุŒ ุงู„ู„ูŠ ู‡ูŠ ุชุบูŠุฑ ููŠ ุทูˆู„ ุงู„ gauge ู†ูุณู‡ุŒ ุงู„
1215
+
1216
+ 347
1217
+ 00:31:45,200 --> 00:31:50,150
1218
+ strainุŒ ุงู„ู…ุงุฏุฉุŒ ุงู„ gaugeุŒ ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„ ุจูŠุนุทูŠู†ุง ุชุบูŠุฑ
1219
+
1220
+ 348
1221
+ 00:31:50,150 --> 00:31:56,270
1222
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ input ุนู†ุฏูŠ ู‡ูˆ deltaุŒ change
1223
+
1224
+ 349
1225
+ 00:31:56,270 --> 00:32:01,410
1226
+ ููŠ ุงู„ุทูˆู„ุŒ ุงู„ output ู‡ูˆ ุงู„ change ููŠ ุงู„ resistance
1227
+
1228
+ 350
1229
+ 00:32:01,410 --> 00:32:07,610
1230
+ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉุŒ thirty
1231
+
1232
+ 351
1233
+ 00:32:07,610 --> 00:32:10,930
1234
+ results are obtainedุŒ ุนู…ู„ู†ุง ุซู„ุงุซูŠู† ู‚ุฑุงุกุฉ
1235
+
1236
+ 352
1237
+ 00:32:25,100 --> 00:32:27,820
1238
+ ุนู…ู„ ุชุฌุงุฑุจุŒ ูˆุฃุฎุฏ ุซู„ุงุซูŠู† ู‚ุฑุงุกุฉุŒ ูˆุญุณุจ ุงู„ average
1239
+
1240
+ 353
1241
+ 00:32:27,820 --> 00:32:36,300
1242
+ strainุŒ average strain ุงู„ู„ูŠ ู‡ูŠ ุฎู…ุณู…ุงุฆุฉ ูˆุนุดุฑูŠู† micro
1243
+
1244
+ 354
1245
+ 00:32:36,300 --> 00:32:44,640
1246
+ strainsุŒ statistical
1247
+
1248
+ 355
1249
+ 00:32:44,640 --> 00:32:46,760
1250
+ analysis of the distribution of measurements gives
1251
+
1252
+ 356
1253
+ 00:32:46,760 --> 00:32:50,420
1254
+ a precision uncertaintyุŒ ู†ุชูŠุฌุฉ ุนู…ู„ ุชุญู„ูŠู„ ุฅุญุตุงุฆูŠ
1255
+
1256
+ 357
1257
+ 00:32:50,420 --> 00:32:56,840
1258
+ ุทู„ุนุช ู„ precision uncertainty ููŠ ุงู„ strain ุงู„ู„ูŠ ู‡ูŠ
1259
+
1260
+ 358
1261
+ 00:32:56,840 --> 00:33:00,900
1262
+ ูˆุงุญุฏ ูˆุนุดุฑูŠู† ูˆ
1263
+
1264
+ 359
1265
+ 00:33:00,900 --> 00:33:03,940
1266
+ at
1267
+
1268
+ 360
1269
+ 00:33:03,940 --> 00:33:06,840
1270
+ a ninety percent confidence level...confidence
1271
+
1272
+ 361
1273
+ 00:33:06,840 --> 00:33:13,640
1274
+ levelุŒ ุจุงู„ุณุงุนุฉ
1275
+
1276
+ 362
1277
+ 00:33:13,640 --> 00:33:18,220
1278
+ ูˆุฎู…ุณ ูˆุชุณุนูŠู† ููŠ ุงู„ู…ุงุฆุฉุŒ the
1279
+
1280
+ 363
1281
+ 00:33:18,220 --> 00:33:25,230
1282
+ bias uncertaintyุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ bias uncertainty ุงู„ู„ูŠ
1283
+
1284
+ 364
1285
+ 00:33:25,230 --> 00:33:30,710
1286
+ ู‡ูŠ ุชุณุนุฉ ูˆุนุดุฑูŠู†ุŒ with
1287
+
1288
+ 365
1289
+ 00:33:30,710 --> 00:33:37,090
1290
+ odds of nineteenุŒ ูˆุงุญุฏุŒ ูŠุนู†ูŠ ู…ู† ูƒู„ ุนุดุฑูŠู† ู‚ุฑุงุกุฉ ุจุชูƒูˆู†
1291
+
1292
+ 366
1293
+ 00:33:37,090 --> 00:33:42,650
1294
+ ููŠ ู‚ุฑุงุกุฉ ุนู†ุฏูŠ ุจุฑุง ุงู„ rangeุŒ ู…ู† ูƒู„ ุนุดุฑูŠู† ู‚ุฑุงุกุฉ ุจูŠูƒูˆู†
1295
+
1296
+ 367
1297
+ 00:33:42,650 --> 00:33:48,360
1298
+ ู‚ุฑุงุกุฉ ุนู†ุฏูŠ ุจุฑุง ุงู„ rangeุŒ ุนุดุงู†ูƒ ุจุฃุญูƒูŠ ุนู†ุฏูŠ ู†ุณุจุฉ ุงู„ุฎุทุฃ
1299
+
1300
+ 368
1301
+ 00:33:48,360 --> 00:33:51,920
1302
+ ูŠุนู†ูŠ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ู‡ูŠ ุฎุงุฑุฌ ุงู„...ุงู„...ุงู„ range
1303
+
1304
+ 369
1305
+ 00:33:51,920 --> 00:33:56,100
1306
+ ุฎู…ุณุฉ ููŠ ุงู„ู…ุงุฆุฉุŒ ูŠุนู†ูŠ ุงู„ confidence ุฌูˆู‡ ุงู„ range
1307
+
1308
+ 370
1309
+ 00:33:56,100 --> 00:34:01,940
1310
+ confidenceุŒ ุฅูŠุด ู…ุนู†ุงู‡ confidentุŒ ุจุฃูƒุฏุŒ ูŠุนู†ูŠ ุฌูˆู‡ ุงู„
1311
+
1312
+ 371
1313
+ 00:34:01,940 --> 00:34:03,900
1314
+ rangeุŒ ุฎู…ุณุฉ ูˆุชุณุนูˆู† ููŠ ุงู„ู…ุงุฆุฉุŒ ุงู„ู‚ุฑุงุกุฉ ู‡ุชูƒูˆู† ุฌูˆู‡ ุงู„ range
1315
+
1316
+ 372
1317
+ 00:34:03,900 --> 00:34:10,600
1318
+ ู…ู† ูƒู„ ู…ุงุฆุฉุŒ ุฎู…ุณุฉ ูˆุชุณุนูˆู† ู‡ุชูƒูˆู† ุฌูˆู‡ ุงู„ rangeุŒ what is the
1319
+
1320
+ 373
1321
+ 00:34:10,600 --> 00:34:18,630
1322
+ total uncertaintyุŒ ุงู„ U totalุŒ ูŠุณุงูˆูŠ ุฌุฐุฑ ุงู„ุชุฑุจูŠุน ู„ P
1323
+
1324
+ 374
1325
+ 00:34:18,630 --> 00:34:29,610
1326
+ ุชุฑุจูŠุน ุฒุงุฆุฏ B ุงู„ู„ูŠ ู‡ูˆ ุงู„ุจูŠุฒ ุชุฑุจูŠุนุŒ ุฃู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ ูˆุงุญุฏ
1327
+
1328
+ 375
1329
+ 00:34:29,610 --> 00:34:39,630
1330
+ ูˆุนุดุฑูŠู† ุชุฑุจูŠุน ุฒุงุฆุฏ ุชุณุนุฉ ูˆุนุดุฑูŠู† ุชุฑุจูŠุนุŒ ู‡ุฐุง ุงู„
1331
+
1332
+ 376
1333
+ 00:34:39,630 --> 00:34:46,120
1334
+ total uncertaintyุŒ ุงู„ุฎุทุฃ ุงู„ุฅุฌู…ุงู„ูŠ ุงู„ู†ุงุชุฌ ุนู† ุงู„ bias
1335
+
1336
+ 377
1337
+ 00:34:46,120 --> 00:34:50,740
1338
+ errorsุŒ ุงู„ู„ูŠ ู‡ูŠ systematicุŒ ูˆุงู„ precision ุฃูˆ ุงู„
1339
+
1340
+ 378
1341
+ 00:34:50,740 --> 00:35:04,300
1342
+ random errorsุŒ ุทุจุนุง
1343
+
1344
+ 379
1345
+ 00:35:04,300 --> 00:35:09,280
1346
+ ุฅุญู†ุง ูŠุนู†ูŠ ุนุดุงู† ุชุญุณ ุจู‚ู‰ ุฅูŠู‡ุŒ ู„ู‡ุง ุทุฑู‚ ู‡ุฐู‡ุŒ ูŠุนู†ูŠ ู‡ุฐุง
1347
+
1348
+ 380
1349
+ 00:35:09,280 --> 00:35:11,880
1350
+ ู…ุซุงู„ ุจุณูŠุทุŒ ู‡ู†ุฎุด ุชูุตูŠู„ ุฃูƒุชุฑ ุญุงู„ูŠุง
1351
+
1352
+ 381
1353
+ 00:35:14,910 --> 00:35:22,490
1354
+ how to estimate the precision uncertaintyุŸ ูŠุนู†ูŠ ุงู„
1355
+
1356
+ 382
1357
+ 00:35:22,490 --> 00:35:29,190
1358
+ random uncertaintyุŸ ุนู†ุฏู†ุง
1359
+
1360
+ 383
1361
+ 00:35:29,190 --> 00:35:31,750
1362
+ two fundamental concepts form the base for
1363
+
1364
+ 384
1365
+ 00:35:31,750 --> 00:35:37,710
1366
+ analyzing precision errorsุŒ ููŠ ุนู†ุฏู†ุง ู…ูู‡ูˆู…ูŠู†
1367
+
1368
+ 385
1369
+ 00:35:37,710 --> 00:35:45,960
1370
+ ุฃุณุงุณูŠูŠู†ุŒ ู…ูุงู‡ูŠู… ุฃุณุงุณูŠุฉุŒ ุงุซู†ูŠู†ุŒ ุจุชุดูƒู„ ุงู„ุฃุณุงุณ ู„ุชุญู„ูŠู„
1371
+
1372
+ 386
1373
+ 00:35:45,960 --> 00:35:50,960
1374
+ ูˆุฏุฑุงุณุฉ ุงู„ุฃุฎุทุงุก ุงู„ุนุดูˆุงุฆูŠุฉุŒ precision errorsุŒ ุฃูˆู„ ู…ูู‡ูˆู…
1375
+
1376
+ 387
1377
+ 00:35:50,960 --> 00:35:58,480
1378
+ distribution of errorsุŒ ุชูˆุฒูŠุน ุงู„ error ู†ูุณู‡ุŒ ุงู„
1379
+
1380
+ 388
1381
+ 00:35:58,480 --> 00:36:03,280
1382
+ distributionุŒ it characterizes the probability that
1383
+
1384
+ 389
1385
+ 00:36:03,280 --> 00:36:05,820
1386
+ an error of a given size will occurุŒ distribution
1387
+
1388
+ 390
1389
+ 00:36:05,820 --> 00:36:09,480
1390
+ ุจูŠุนุทูŠู†ุง ุฏุฑุงุณุฉ ู„ุงุญุชู…ุงู„ูŠุฉ
1391
+
1392
+ 391
1393
+ 00:36:12,590 --> 00:36:16,770
1394
+ ุฃู† error ุจุญุฌู… ู…ุนูŠู† ู…ูˆุฌูˆุฏุŒ ุฅูŠุด ุงุญุชู…ุงู„ ุฃู† ุงู„ุฎุทุฃ
1395
+
1396
+ 392
1397
+ 00:36:16,770 --> 00:36:19,990
1398
+ ูŠุจู‚ู‰ ูŠูƒูˆู† ุฃูƒุซุฑ ู…ู† ุนุดุฑุฉ ููŠ ุงู„ู…ุงุฆุฉุŸ ุฅูŠุด ุงุญุชู…ุงู„ ุงู„ุฎุทุฃ
1399
+
1400
+ 393
1401
+ 00:36:19,990 --> 00:36:23,590
1402
+ ูŠูƒูˆู† ุฃู‚ู„ ู…ู† ุนุดุฑุฉ ููŠ ุงู„ู…ุงุฆุฉุŸ ุฅูŠุด ุงุญุชู…ุงู„ ุงู„ุฎุทุฃ ูŠูƒูˆู†
1403
+
1404
+ 394
1405
+ 00:36:23,590 --> 00:36:27,530
1406
+ ุจูŠู† ุนุดุฑุฉ ูˆุนุดุฑูŠู† ููŠ ุงู„ู…ุงุฆุฉุŸ ูู…ุญุชุงุฌ...ุนุดุงู† ุชู‚ุฏุฑ
1407
+
1408
+ 395
1409
+ 00:36:27,530 --> 00:36:32,910
1410
+ ุงู„ุฎุทุฃ ู‡ุฐุงุŒ ู…ุญุชุงุฌ ู„ distributionุŒ ุชูˆุฒูŠุน ุฅุญุตุงุฆูŠ ู…ุนูŠู†
1411
+
1412
+ 396
1413
+ 00:36:36,230 --> 00:36:39,730
1414
+ ุงู„ population from which samples are drawnุŒ ุจูŠุนุชู…ุฏ
1415
+
1416
+ 397
1417
+ 00:36:39,730 --> 00:36:44,110
1418
+ ุจุฑุถู‡ ุนู„ู‰ ุงู„ population ุงู„ู„ูŠ ุฃู†ุง ุจุฃุฎุฐ ู…ู†ู‡ ุงู„ sample
1419
+
1420
+ 398
1421
+ 00:36:44,110 --> 00:36:50,390
1422
+ ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุง ุจุฏุฑุณ ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ ูู„ุณุทูŠู†ุŒ ุงู„
1423
+
1424
+ 399
1425
+ 00:36:50,390 --> 00:36:52,870
1426
+ population ุจุชุงุน ู…ุฑุถู‰ ุงู„ุณูƒุฑุŒ ูƒู„ ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ ูƒู„
1427
+
1428
+ 400
1429
+ 00:36:52,870 --> 00:36:57,930
1430
+ ูู„ุณุทูŠู† ู…ุซู„ุงุŒ ู…ุนุฑูˆู ูŠุนู†ูŠ ู…ุซู„ุง ุนุดุฑุฉุŒ ู…ุซู„ุง ุนุดุฑุฉ ููŠ
1431
+
1432
+ 401
1433
+ 00:36:57,930 --> 00:37:02,510
1434
+ ุงู„ู…ุงุฆุฉ ู…ู† ุงู„ู†ุงุณ ู…ุตุงุจูŠู† ุจู…ุฑุถ ุงู„ุณูƒุฑุŒ ุฎู…ุณุฉ ู…ู„ุงูŠูŠู† ูŠุนู†ูŠ
1435
+
1436
+ 402
1437
+ 00:37:02,510 --> 00:37:07,710
1438
+ ุฃูƒุซุฑ ู…ู† ู†ุตู ู…ู„ูŠูˆู† ู‡ูŠูƒูˆู† ู…ุตุงุจูŠู† ุจุงู„ุณูƒุฑุŒ ู‡ู„ ุนุดุงู† ุชุนู…ู„ ุฏุฑุงุณุฉ
1439
+
1440
+ 403
1441
+ 00:37:07,710 --> 00:37:12,750
1442
+ ู‡ุชุฑูˆุญ ุชุณุฃู„ ู†ุตู ู…ู„ูŠูˆู†ุŸ ู…ู…ูƒู†
1443
+
1444
+ 404
1445
+ 00:37:13,740 --> 00:37:18,280
1446
+ ุฅุฐุง ูƒุงู† ุนู†ุฏู†ุง ููŠ ุงู„ู…ุฑุงูƒุฒ ุงู„ุตุญูŠุฉุŒ ูƒู„ ู…ุฑูƒุฒ...ุฅุญู†ุง
1447
+
1448
+ 405
1449
+ 00
1450
+
1451
+ 445
1452
+ 00:40:46,180 --> 00:40:49,380
1453
+ this proper difference ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ true
1454
+
1455
+ 446
1456
+ 00:40:49,380 --> 00:40:52,520
1457
+ value ูˆ ุงู„ู€ ... ูˆ ุงู„ู€ ... ูˆ ุงู„ู€ ... ูˆ ุงู„ู€ average value
1458
+
1459
+ 447
1460
+ 00:40:52,520 --> 00:40:53,620
1461
+ ู„ู„ู‚ุฑุงุกุงุช
1462
+
1463
+ 448
1464
+ 00:40:56,860 --> 00:41:01,340
1465
+ ุจูŠุนุทูŠู†ุง confidence interval ูŠุนู†ูŠ ุฃู†ุง ุจูƒูˆู†
1466
+
1467
+ 449
1468
+ 00:41:01,340 --> 00:41:05,100
1469
+ confident ู…ุซู„ุงู‹ ุจู†ุณุจุฉ 95% confident ุจู†ุณุจุฉ 99%
1470
+
1471
+ 450
1472
+ 00:41:05,100 --> 00:41:15,040
1473
+ confident ุจู†ุณุจุฉ 90% ู‡ู†ุงุฎุฏ
1474
+
1475
+ 451
1476
+ 00:41:15,040 --> 00:41:19,700
1477
+ ู…ุซุงู„: ุดุฑูƒุฉ ุจุชุตู†ุน
1478
+
1479
+ 452
1480
+ 00:41:22,270 --> 00:41:27,870
1481
+ ูƒูˆุฑุงุช ... ูƒูˆุฑุงุช ู…ุนุฏู†ูŠุฉุŒ ุชุตู†ุน ูƒูˆุฑุงุช ู…ุนุฏู†ูŠุฉุŒ ูˆ ุงู„ู‚ุทุฑ
1482
+
1483
+ 453
1484
+ 00:41:27,870 --> 00:41:33,350
1485
+ ุจุชุงุนู‡ุง ุซุงุจุชุŒ ุทุงุจู‚ ู…ุซู„ุงู‹ ููŠ ุงู„ุณู†ุฉ ุจุชุตู†ุน ู…ู„ูŠูˆู†
1486
+
1487
+ 454
1488
+ 00:41:33,350 --> 00:41:38,930
1489
+ ูƒูˆุฑุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ population ุฏูŠ ู…ู„ูŠูˆู†ุŒ ุฅุฐุง ุฃู†ุง ุนุงูŠุฒ
1490
+
1491
+ 455
1492
+ 00:41:38,930 --> 00:41:44,930
1493
+ ุฃุฏุฑุณ ุงู„ู€ variationsุŒ ุงู„ุงุฎุชู„ุงู ููŠ ุฃู‚ุทุงุฑ ุงู„ูƒูˆุฑุงุชุŒ ู…ุด
1494
+
1495
+ 456
1496
+ 00:41:44,930 --> 00:41:51,810
1497
+ ู‡ุฏุง ุฃุฎุฏ ู‚ูŠุงุณ ู„ู‚ุทุฑ ูƒู„ ุงู„ู…ู„ูŠูˆู†ุŒ ู…ู…ูƒู† ุฃุฎุฏ ู‚ูŠุงุณุŒ ุขุฎุฏ ุนูŠู†ุฉ
1498
+
1499
+ 457
1500
+ 00:41:51,810 --> 00:41:59,210
1501
+ ู…ู† ู…ูŠุฉ ูƒุฑุฉุŒ ุทุจุนุงู‹ ุงู„ู…ูŠุฉ ูƒุฑุฉ ุงู„ู„ูŠ ู„ุงุฒู… ุฃุฎุฏู‡ุง ุนุดูˆุงุฆูŠ
1502
+
1503
+ 458
1504
+ 00:41:59,210 --> 00:42:03,530
1505
+ ู…ุง ูŠู†ูุนุด ุฃุฎุฏ ุงู„ูƒูˆุฑุงุช ุงู„ู„ูŠ ุจูŠูƒูˆู† ููŠู‡ุง ุงู„ู‚ุทุฑ ูƒุจูŠุฑ ููŠู‡ุง
1506
+
1507
+ 459
1508
+ 00:42:03,530 --> 00:42:09,970
1509
+ ู…ุง ูŠู†ูุนุด ุฃุฎุฏุŒ ุฃุทู„ุน ูƒ๏ฟฝ๏ฟฝุฑุฉ ูˆุฃู‚ูŠุตู‡ุง ุนู„ู‰ ุงู„ู€ caliber ู„ู‡ุฐู‡
1510
+
1511
+ 460
1512
+ 00:42:09,970 --> 00:42:14,630
1513
+ ุงู„ุตุบูŠุฑุฉุŒ ุจุฏูŠ ุฃุดูŠู„ ู‡ุฐู‡ุŒ ุงู„ู‚ุทุฑ ุงู„ูƒุจูŠุฑุŒ ุฃุฎุฏ ูƒู„ ูƒุจูŠุฑ
1514
+
1515
+ 461
1516
+ 00:42:15,840 --> 00:42:20,900
1517
+ ู…ุง ูŠู†ูุนุดุŒ ุจุชุทู„ุนุดุŒ ูุฃู†ุง ุจุงุฎุฏ ุจุดูƒู„ randomุŒ ุจุงุฎุฏ ุงู„ุนูŠู†ุงุช
1518
+
1519
+ 462
1520
+ 00:42:20,900 --> 00:42:26,140
1521
+ ุนุดุงู†
1522
+
1523
+ 463
1524
+ 00:42:26,140 --> 00:42:31,540
1525
+ ุฃุญุณู† ุงู„ู€ main diameterุŒ ุจุงุฎุฏ ุนูŠู†ุฉ ู…ู† ุงู„ูƒุฑุงุช ุจู‚ูŠุณ ...
1526
+
1527
+ 464
1528
+ 00:42:31,540 --> 00:42:41,060
1529
+ ุจู‚ูŠุณู‡ู…ุŒ ุจุนุฏูŠู† ุจุญุณุจ ุงู„ู€ average valueุŒ ุฃู†ุง
1530
+
1531
+ 465
1532
+ 00:42:41,060 --> 00:42:45,630
1533
+ ู…ู…ูƒู† ุงู„ู€ population ูŠู…ุซู„ ูƒูŠุณ ูƒุจูŠุฑุŒ ูˆ ุงู„ู€ sample ูƒูŠุณู‡
1534
+
1535
+ 466
1536
+ 00:42:45,630 --> 00:42:50,830
1537
+ ุตุบูŠุฑุŒ ูุฃู†ุง ุจุงุฎุฏ ... ุจูƒุจุด ... ุจุงุฎุฏ ู‡ุฐู‡ ุงู„ู€ sample
1538
+
1539
+ 467
1540
+ 00:42:50,830 --> 00:42:55,410
1541
+ ุจุชุงุนุชูŠุŒ ู…ู…ูƒู† ุฃุฎุฏ ุนูŠู†ุฉ ุชุงู†ูŠุฉ ู…ู† ู†ูุณ ุงู„ูƒูŠุณ ุงู„ูƒุจูŠุฑุŒ ุฃุฎุฏ
1542
+
1543
+ 468
1544
+ 00:42:55,410 --> 00:42:58,970
1545
+ ูƒู…ุงู† ูƒุจุดุฉ ุชุงู†ูŠุฉ ู…ู† ุงู„ูƒูˆุฑุงุชุŒ ุฃุฎุฏ ูƒุจุดุฉ ุชุงู„ุชุฉ ... ุฑุงุจุนุฉ
1546
+
1547
+ 469
1548
+ 00:42:58,970 --> 00:43:03,830
1549
+ ... ุฎุงู…ุณุฉ ... ุณุงุฏุณุฉ ... ู‡ู„ ูƒู„ sampleุŒ ูƒุจุดุฉ ุงู„ุฃูˆู„ู‰ ุจุชุนุทูŠ
1550
+
1551
+ 470
1552
+ 00:43:03,830 --> 00:43:09,530
1553
+ ู†ูุณ ุงู„ู€ average ู„ู€ ... ูˆู„ุง ู…ุฎุชู„ููŠู† ุนู† ุจุนุถุŸ ุฃูƒูŠุฏ
1554
+
1555
+ 471
1556
+ 00:43:09,530 --> 00:43:16,430
1557
+ ู‡ุงุฎุชู„ููˆุง ุนู† ุจุนุถุŒ ุฃูƒูŠุฏ ู‡ุงุฎุชู„ููˆุง ุนู† ุจุนุถุŒ ุทุจุนุงู‹ ุงู„ูุฑู‚ ุจูŠู†
1558
+
1559
+ 472
1560
+ 00:43:16,430 --> 00:43:22,670
1561
+ ุฎุตุงุฆุต ุงู„ู€ sample ูˆ ุงู„ู€ population ุจุชู‚ู„ ูƒู„ ู…ุง ุญุฌู…
1562
+
1563
+ 473
1564
+ 00:43:22,670 --> 00:43:28,030
1565
+ ุงู„ุนูŠู†ุฉ ุฒุงุฏุŒ ูƒู„ ู…ุง ุฃู†ุง ู…ุง ... ูŠุนู†ูŠ ู„ูˆ ุฃุฎุฏุช ุนุดุฑ
1566
+
1567
+ 474
1568
+ 00:43:28,030 --> 00:43:34,570
1569
+ ูƒูˆุฑุงุชุŒ ู‡ูƒูˆู† ุจุนูŠุฏ ุนู† ุงู„ู€ populationุŒ ู„ูƒู† ู„ูˆ ุฃุฎุฏุช ุฃู„ู
1570
+
1571
+ 475
1572
+ 00:43:34,570 --> 00:43:38,650
1573
+ ูƒูˆุฑุฉุŒ ู‡ุชูƒูˆู† ู…ู…ุซู„ุฉ ุฃูƒุชุฑุŒ ููƒู„ ู…ุง ูƒุงู† ุญุฌู… ุงู„ู€ sample
1574
+
1575
+ 476
1576
+ 00:43:38,650 --> 00:43:44,930
1577
+ ุจูŠูƒุจุฑุŒ ูƒู„ ู…ุง ุจูŠูƒูˆู† ุงู„ุงุฎุชู„ุงู ุจูŠู† ุฎุตุงุฆุต ุงู„ุนูŠู† ูˆ ุฎุตุงุฆุต ุงู„ู€
1578
+
1579
+ 477
1580
+ 00:43:44,930 --> 00:43:50,210
1581
+ population ุจูŠูƒูˆู† ู‚ุฑูŠุจ ู…ู† ุจุนุถู‡
1582
+
1583
+ 478
1584
+ 00:43:50,210 --> 00:43:58,090
1585
+ ุงู„ุขู†
1586
+
1587
+ 479
1588
+ 00:43:58,090 --> 00:44:04,010
1589
+ ุงู„ูƒุฑุงุช ุนู†ุฏูŠุŒ any number of balls or marbles
1590
+
1591
+ 480
1592
+ 00:44:06,500 --> 00:44:11,240
1593
+ ุงู„ุขู† ุจุงุฎุฏ ู‚ูŠุงุณ ู„ู‚ุทุฑ ูƒู„ ูƒูˆุฑุฉุŒ ู…ุนู†ุงุชู‡ ุจู‚ู‰ ุฃู†ุง ุจุญุตู„
1594
+
1595
+ 481
1596
+ 00:44:11,240 --> 00:44:17,060
1597
+ ุนู„ู‰ distribution of diameters ... distribution of
1598
+
1599
+ 482
1600
+ 00:44:17,060 --> 00:44:25,080
1601
+ diametersุŒ ู„ูƒู† ู…ู…ูƒู† ุฃุฎุฏ ูƒูˆุฑุฉ ูˆุงุญุฏุฉุŒ ูˆุขุฎุฏ ู„ู‡ุง ุนุดุฑ
1602
+
1603
+ 483
1604
+ 00:44:25,080 --> 00:44:31,480
1605
+ ู‚ุฑุงุกุงุชุŒ ุจุงุฎุฏ distribution ู„ู…ุนุฑูุฉ ุงู„ูˆุงุญุฏุฉุŒ ูููŠ ูุฑู‚
1606
+
1607
+ 484
1608
+ 00:44:31,480 --> 00:44:34,480
1609
+ ุจูŠู† distribution ู„ู€ ุงู„ู€ sampleุŒ ูˆ ููŠ distribution ู„ู€
1610
+
1611
+ 485
1612
+ 00:44:34,480 --> 00:44:46,400
1613
+ oneุŒ ูŠุนู†ูŠ ุฃู†ุง ู†ูุณ ุงู„ู‚ุฑุงุกุฉ ุจุนูŠุฏู‡ุง ููŠ
1614
+
1615
+ 486
1616
+ 00:44:46,400 --> 00:44:52,020
1617
+ ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ู„ู…ุง ูƒุงู† ุนู†ุฏูŠ ู…ุซู„ุงู‹ ู…ูŠุฉ ูƒูˆุฑุฉุŒ ูˆ ุฃุฎุฏุช
1618
+
1619
+ 487
1620
+ 00:44:52,020 --> 00:45:00,530
1621
+ ู…ูŠุฉ ู‚ุฑุงุกุฉ ู„ู„ู‚ุทุฑุŒ ุฃู†ุง ุฌุจุช ุงู„ู€ distributionุŒ ูˆ ู…ู†ู‡ ุนุฑูุช
1622
+
1623
+ 488
1624
+ 00:45:00,530 --> 00:45:05,730
1625
+ ุงู„ู€ precision error ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุน ... ู†ุชูŠุฌุฉ
1626
+
1627
+ 489
1628
+ 00:45:05,730 --> 00:45:11,430
1629
+ ุนู…ู„ูŠุฉ ุงู„ุชุตู†ูŠุนุŒ ุญุงู„ุฉ ุชุงู†ูŠุฉ ู„ู…ุง ุฃู†ุง ุฎุฏุช ู…ูŠุฉ ู‚ุฑุงุกุฉ
1630
+
1631
+ 490
1632
+ 00:45:11,430 --> 00:45:18,210
1633
+ ู„ู†ูุณ ุงู„ูƒูˆุฑุฉุŒ precision error ููŠ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุŒ ูˆุงุถุญุŸ
1634
+
1635
+ 491
1636
+ 00:45:18,760 --> 00:45:22,580
1637
+ precision error ููŠ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุŒ ูˆุจุงู„ุชุงู„ูŠ ู„ู…ุง ุฃู†ุง
1638
+
1639
+ 492
1640
+ 00:45:22,580 --> 00:45:26,260
1641
+ ุฃุฎุฏ ู…ูŠุฉ ูƒูˆุฑุฉุŒ ูˆ ุฃุฎุฏ ู…ูŠุฉ ู‚ุฑุงุกุฉุŒ ุฃู†ุง ุจูƒูˆู† ุบุทูŠุช
1642
+
1643
+ 493
1644
+ 00:45:26,260 --> 00:45:29,420
1645
+ ุงู„ุชุงู†ูŠุฉุŒ ุบุทูŠุช ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€ precision
1646
+
1647
+ 494
1648
+ 00:45:29,420 --> 00:45:31,360
1649
+ error due to manufacturingุŒ ูˆ ุงู„ู€ precision error
1650
+
1651
+ 495
1652
+ 00:45:31,360 --> 00:45:32,060
1653
+ due to measurement
1654
+
1655
+ 496
1656
+ 00:45:48,160 --> 00:45:55,540
1657
+ ุฃู†ุง two classes of samplingุŒ ุฃูˆู„ ุดูŠุก ุนู†ุฏูŠ a sample
1658
+
1659
+ 497
1660
+ 00:45:55,540 --> 00:46:00,720
1661
+ sizeุŒ a sample of size N is drawn from finite
1662
+
1663
+ 498
1664
+ 00:46:00,720 --> 00:46:04,820
1665
+ population of size PุŒ ูŠุนู†ูŠ ุนู†ุฏูŠ population ุญุฌู…ู‡ P
1666
+
1667
+ 499
1668
+ 00:46:04,820 --> 00:46:13,280
1669
+ ู…ู„ูŠูˆู†ุŒ ุจุฏูŠ ุฃุฎุฏ sample ุญุฌู…ู‡ุง ู…ูŠุฉุŒ NุŒ ูŠุนู†ูŠ ุจุงุฎุฏ ู…ูŠุฉ ู…ู†
1670
+
1671
+ 500
1672
+ 00:46:13,280 --> 00:46:13,640
1673
+ ู…ู„ูŠูˆู†
1674
+
1675
+ 501
1676
+ 00:46:16,680 --> 00:46:18,960
1677
+ the sample is used to estimate the properties of
1678
+
1679
+ 502
1680
+ 00:46:18,960 --> 00:46:21,840
1681
+ the populationุŒ ุงู„ู€ sample ุฃู†ุง ุจุณุชุฎุฏู…ู‡ุง ุนุดุงู† ุฃุนุฑู
1682
+
1683
+ 503
1684
+ 00:46:21,840 --> 00:46:27,240
1685
+ ุฎุตุงุฆุต ุงู„ู€ populationุŒ sample
1686
+
1687
+ 504
1688
+ 00:46:27,240 --> 00:46:31,380
1689
+ size is assumed to be small compared to population
1690
+
1691
+ 505
1692
+ 00:46:31,380 --> 00:46:36,220
1693
+ sizeุŒ ูŠุนู†ูŠ n ุฃุตุบุฑ ุจูƒุซูŠุฑ ู…ู† ุงู„ู€ PุŒ ูŠุนู†ูŠ ุงู„ู…ูŠุฉ ุฃุตุบุฑ
1694
+
1695
+ 506
1696
+ 00:46:36,220 --> 00:46:37,960
1697
+ ุจูƒุซูŠุฑ ู…ู† ุงู„ู…ู„๏ฟฝ๏ฟฝูˆู†
1698
+
1699
+ 507
1700
+ 00:46:42,040 --> 00:46:45,740
1701
+ ุฑู‚ู… ุงุชู†ูŠู†ุŒ a finite number of items n is randomly
1702
+
1703
+ 508
1704
+ 00:46:45,740 --> 00:46:48,660
1705
+ drawn from what is assumed to be a population of
1706
+
1707
+ 509
1708
+ 00:46:48,660 --> 00:46:54,040
1709
+ indefinite sizeุŒ ู„ู…ุง ุฃู†ุง ุฃุฎุฏ ุงู„ู€ nุŒ ุฃุฎุฏ ุงู„ู…ูŠุฉุŒ ุจุงุฎุฏู‡ู…
1710
+
1711
+ 510
1712
+ 00:46:54,040 --> 00:46:59,720
1713
+ ุนุดูˆุงุฆูŠุŒ ูŠุนู†ูŠ ุฃู†ุง ุจุงุฎุฏู‡ู… ู…ุด ููŠ ู†ูุณ ุงู„ู…ูƒุงู†ุŒ ูŠุนู†ูŠ ุญุชู‰
1714
+
1715
+ 511
1716
+ 00:46:59,720 --> 00:47:02,600
1717
+ ููŠ ุงู„ุจุฑุงู…ุฌ ุงู„ุฑูŠุงุถูŠุฉ ุญุงู„ูŠุงู‹ ููŠ random functions
1718
+
1719
+ 512
1720
+ 00:47:02,600 --> 00:47:06,720
1721
+ ุจุชุนู…ู„ generationุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ุชุฎูŠู„ ุฃู† ุฃู†ุง ุฃุฏูŠ ุงู„ูƒูˆุฑุงุช
1722
+
1723
+ 513
1724
+ 00:47:06,720 --> 00:47:13,990
1725
+ ู…ุตููˆูุฉ ู…ู† ูˆุงุญุฏ ู„ู…ู„ูŠูˆู†ุŒ ูˆ ูˆุงุญุฏ ู„ุฃู„ูุŒ ูˆ ุจุฏูŠ ุฃุฎุฏ ู…ู†ู‡ู…
1726
+
1727
+ 514
1728
+ 00:47:13,990 --> 00:47:18,790
1729
+ ุนุดูˆุงุฆูŠุŒ ุนุดูˆุงุฆูŠุŒ ุงู„ุขู† ู…ู…ูƒู† ุชู€ generate a random
1730
+
1731
+ 515
1732
+ 00:47:18,790 --> 00:47:25,610
1733
+ functionุŒ ุฃู†ู‡ ูŠุญูƒูŠ ู„ูŠ ุงุฎุชุงุฑ ู‡ูŠุŒ randomุŒ ุงุฎุชุงุฑ ูˆุงุญุฏ ูˆ
1734
+
1735
+ 516
1736
+ 00:47:25,610 --> 00:47:34,350
1737
+ ุฎู…ุณุฉุŒ ูˆ ุชุณุนุชุงุดุฑุŒ ูˆ ุณุจุนุฉุŒ ูˆ ุฎู…ุณูŠู†ุŒ ูˆ ุชู„ุงุชุฉุŒ ูˆุณุจุนูŠู†ุŒ ูˆ ู…ูŠุฉ
1738
+
1739
+ 517
1740
+ 00:47:34,350 --> 00:47:42,410
1741
+ ูˆ ุชุณุนุฉุŒ ูˆ ุณุจุน ู…ูŠุฉุŒ ูˆ ุชู…ุงู†ูŠุฉุŒ ุชุณุนู…ุงุฆุฉุŒ ูˆ ุฎู…ุณุฉุŒ ุชุณุนู…ุงุฆุฉ
1742
+
1743
+ 518
1744
+ 00:47:42,410 --> 00:47:47,010
1745
+ ูˆ ุชุณุนู…ุงุฆุฉ ูˆุณุจุนูŠู†ุŒ ู‡ุฐุง randomุŒ ู„ูˆ I generate ุงู„ู€
1746
+
1747
+ 519
1748
+ 00:47:47,010 --> 00:47:51,330
1749
+ mathematical function ูƒู…ุงู† ู…ุฑุฉุŒ ู…ุด ู‡ุนุทูŠ ู†ูุณ ุงู„ุชุฑุชูŠุจ
1750
+
1751
+ 520
1752
+ 00:47:51,330 --> 00:47:54,410
1753
+ ุฌุฑุจูˆู‡ ุนู„ู‰ ุงู„ู€ math lab ุฃูˆ ุงู„ู€ Mathematica ุงู„ู„ูŠ ู‡ูˆ
1754
+
1755
+ 521
1756
+ 00:47:54,410 --> 00:47:57,310
1757
+ random function ุฃูˆ random generator
1758
+
1759
+ 522
1760
+ 00:48:03,810 --> 00:48:11,550
1761
+ ู…ุนู†ุงุชู‡ ุญุฌู… ุงู„ู€ sample ุจูŠูƒูˆู† ุฃู‚ู„ ุจูƒุซูŠุฑ ู…ู† ุงู„ู€ PุŒ ุงู„ู€
1762
+
1763
+ 523
1764
+ 00:48:11,550 --> 00:48:15,670
1765
+ sample ุงู„ู„ูŠ ุฃู†ุง ุทุจุนุงู‹ ู…ุด ู„ุงุฒู… ูŠูƒูˆู† ู‚ู„ูŠู„ ุฌุฏุงู‹ุŒ ู„ุงุฒู…
1766
+
1767
+ 524
1768
+ 00:48:15,670 --> 00:48:22,290
1769
+ ูŠูƒูˆู† ุจุงู„ุนุฏุฏ ูƒุงููŠุŒ ุงู„ุนูŠู†ุงุช ุงู„ู„ูŠ ู‡ูˆ ุฃุนุถุงุก ุงู„ุนูŠู†ุฉ ุงู„ู€
1770
+
1771
+ 525
1772
+ 00:48:22,290 --> 00:48:25,230
1773
+ sample ู„ุงุฒู… ุฃุฎุฏู‡ุง ุจุดูƒู„ ุนุดูˆุงุฆูŠ
1774
+
1775
+ 526
1776
+ 00:48:31,590 --> 00:48:34,130
1777
+ ุฅุฐุง ุจู‚ู‰ ุฃุญูƒูŠ ุฃู†ุง ุงู„ู€ sample must be randomly
1778
+
1779
+ 527
1780
+ 00:48:34,130 --> 00:48:36,870
1781
+ selected from populationุŒ ุงู„ู„ูŠ ู„ุงุฒู… ุชุฎุชุงุฑ ุจุดูƒู„
1782
+
1783
+ 528
1784
+ 00:48:36,870 --> 00:48:40,290
1785
+ ุนุดูˆุงุฆูŠุŒ if we select only the largest marblesุŒ ุฅุฐุง
1786
+
1787
+ 529
1788
+ 00:48:40,290 --> 00:48:43,630
1789
+ ุงุฎุชุฑู†ุง ุงู„ูƒูˆุฑุงุช ุงู„ูƒุจูŠุฑุฉ ูู‚ุท ู…ู† ุงู„ู€ ... ุงู„ู€ ... ุงู„ู€
1790
+
1791
+ 530
1792
+ 00:48:43,630 --> 00:48:49,790
1793
+ ุงู„ู€ bagุŒ ุงู„ู€ sample ู…ุด ู‡ุชู…ุซู„ ุงู„ู€ population ุจุดูƒู„ ุฏู‚ูŠู‚
1794
+
1795
+ 531
1796
+ 00:48:49,790 --> 00:48:55,330
1797
+ ู„ุฃู†ู‡ ู…ุง ููŠุด ุนุดูˆุงุฆูŠุŒ ุฃู†ุง ... ุฃู†ุง ุชุนู…ุฏุช ... ุชุนู…ุฏุช ุฃุฎุฏ ุงู„ู€
1798
+
1799
+ 532
1800
+ 00:48:55,330 --> 00:48:58,030
1801
+ ... ุงู„ู€ ... ุงู„ูƒูˆุฑุงุช ุงู„ูƒุจูŠุฑุฉุŒ ู…ุธุจูˆุทุŸ
1802
+
1803
+ 533
1804
+ 00:49:03,710 --> 00:49:06,470
1805
+ ู„ู†ุฌูŠ ู†ุญูƒูŠ ุนู† ุงู„ู€ probability distributionsุŒ ุงู„ู€
1806
+
1807
+ 534
1808
+ 00:49:06,470 --> 00:49:13,330
1809
+ probability distributions
1810
+
1811
+ 535
1812
+ 00:49:13,330 --> 00:49:20,430
1813
+ ู‚ูˆุงู†ูŠู† ุงู„ู€ probability ู‡ูŠ
1814
+
1815
+ 536
1816
+ 00:49:20,430 --> 00:49:28,110
1817
+ ุงุญุชู…ุงู„ูŠุฉ ุฃู† ูŠุตูŠุฑ ุญุฏุซุŒ ุญุฏุซ ู…ุงุŒ ู…ู‚ุงุณ
1818
+
1819
+ 537
1820
+ 00:49:29,590 --> 00:49:34,230
1821
+ ุจุงู„ู†ุณุจุฉ ู„ู…ุฌู…ูˆุน ุงู„ุฃุญุฏุงุซุŒ ู…ู‚ุงุณ ุจุงู„ู†ุณุจุฉ ู„ู…ุฌู…ูˆุน ุงู„ุฃุญุฏุงุซ
1822
+
1823
+ 538
1824
+ 00:49:34,230 --> 00:49:38,130
1825
+ ูŠุนู†ูŠ
1826
+
1827
+ 539
1828
+ 00:49:38,130 --> 00:49:50,390
1829
+ ุฅุฐุง ุญุฏุง ู…ุนุงู‡ ู…ุซู„ุงู‹ ุทุงูˆู„ุฉ ูู†ุŒ ุญุชุนุทูŠู†ุง ุฎูŠุงุฑูŠู†ุŒ ุตุญุŸ ูŠุง
1830
+
1831
+ 540
1832
+ 00:49:50,390 --> 00:49:54,530
1833
+ ุฅูŠุด ุตูˆุฑุฉุŒ ูŠุง ุฅูŠุดุŸ ูŠุง ู…ู„ูƒุŒ ุฅุญู†ุง ุฒูŠ ู…ุง ูƒู†ุง ู†ุณู…ูŠู‡ุง
1834
+
1835
+ 541
1836
+ 00:49:54,530 --> 00:50:01,160
1837
+ ู…ู„ูƒ ูˆุนุดุฑุฉุŒ ูŠุง ู…ู„ูƒุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุชุทู„ุน ู…ู„ูƒ ุฎู…ุณูŠู† ููŠ
1838
+
1839
+ 542
1840
+ 00:50:01,160 --> 00:50:06,280
1841
+ ุงู„ู…ูŠุฉุŒ ุชุทู„ุน ุนุดุฑุฉ ุฎู…ุณูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ู…ุนู†ุงุชู‡ ุงุญุชู…ุงู„ ุชุทู„ุน
1842
+
1843
+ 543
1844
+ 00:50:06,280 --> 00:50:13,220
1845
+ ู…ู„ูƒ ู†ุตุŒ ู‡ุฐุง ุงู„ุงุญุชู…ุงู„ุŒ ุงู„ู€ events ูƒู… ุนุฏุฏู‡ู…ุŸ ุงุชู†ูŠู†ุŒ ุงู„ู€
1846
+
1847
+ 544
1848
+ 00:50:13,220 --> 00:50:18,620
1849
+ events ุนุฏุฏู‡ู… ุงุชู†ูŠู†ุŒ ุงู„ุงุชู†ูŠู† ุงู„ู„ูŠ ู‡ูˆ event A ุงู„ู„ูŠ ู‡ูˆ
1850
+
1851
+ 545
1852
+ 00:50:18,620 --> 00:50:21,160
1853
+ ู…ู„ูƒุŒ ูˆ event B ุงู„ู„ูŠ ู‡ูˆ ุนุดุฑุฉ
1854
+
1855
+ 546
1856
+ 00:50:24,690 --> 00:50:31,370
1857
+ ูˆุจุดูƒู„ ุนุงู…ุŒ ุฅุฐุง ุนู†ุฏูŠ ุฃู†ุง
1858
+
1859
+ 547
1860
+ 00:50:31,370 --> 00:50:37,070
1861
+ N likely casesุŒ ูˆ M cases correspond to event A
1862
+
1863
+ 548
1864
+ 00:50:37,070 --> 00:50:42,030
1865
+ ูŠุนู†ูŠ event A ุงุชูƒุฑุฑ ุนุฏุฏ ู…ุฑุงุช MุŒ ู…ุนู†ุงุชู‡ ุงุญุชู…ุงู„ูŠุฉ ุฃู† M
1866
+
1867
+ 549
1868
+ 00:50:42,030 --> 00:50:46,090
1869
+ ูŠุญุฏุซ ู‡ูŠ M ุนู„ู‰ NุŒ ู„ุฃู† ุงุญุชู…ุงู„ุงุช ุงู„ูƒู„ูŠุฉ ุนุฏุฏู‡ุง ุฅูŠุดุŸ N
1870
+
1871
+ 550
1872
+ 00:50:46,090 --> 00:50:50,670
1873
+ ุงุญุชู…ุงู„ูŠุฉ ุชูƒุฑุงุฑ ุงู„ุญุฏุซ ุฅูŠู‡ุŸ MุŒ ุฒูŠ ู…ุง ุญูƒูŠุช ุฃู†ุง ููŠ ุญุงู„ุฉ
1874
+
1875
+ 551
1876
+ 00:50:50,670 --> 00:50:56,140
1877
+ ุงู„ูู„ูˆุณุŒ ุงุญุชู…ุงู„ ูŠูƒูˆู† ุฅูŠุด ุงู„ู€ MุŸ ูˆุงุญุฏ ุนู„ู‰ ุงู„ู€ total events
1878
+
1879
+ 552
1880
+ 00:50:56,140 --> 00:50:58,760
1881
+ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุดุŸ ุงุชู†ูŠู†ุŒ ู…ุง ููŠุด ุฎูŠุงุฑุŒ ูŠุง ู‡ุชุทู„ุน ูŠุง ู…ู„ูƒ ูŠุง
1882
+
1883
+ 553
1884
+ 00:50:58,760 --> 00:51:06,420
1885
+ ุนุดุฑุฉุŒ ู‡ูŠ ูƒู„ ุงู„ุฎูŠุงุฑุงุชุŒ ูุจูŠูƒูˆู† ุงู„ู…ู„ูƒ ูˆุงุญุฏ ู…ู† ุงุชู†ูŠู†ุŒ ุทูŠุจ
1886
+
1887
+ 554
1888
+ 00:51:06,420 --> 00:51:10,280
1889
+ ุงู„ุญุฌุฑ
1890
+
1891
+ 555
1892
+ 00:51:10,280 --> 00:51:19,520
1893
+ ุนุดุงู† ู†ุณู…ูŠู‡ ู‡ุฐุงุŒ ู†ุฑุฏุŒ ู‡ุฐุง ููŠู‡ ูƒู… ูˆุฌู‡ุŸ ุณุช ุฃูˆุฌู‡ุŒ ูˆุฌู‡
1894
+
1895
+ 556
1896
+ 00:51:19,520 --> 00:51:26,200
1897
+ ุนู„ูŠู‡ ู†ู‚ุทุฉุŒ ูˆุฌู‡ ุงู„ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุฅุฐุง
1898
+
1899
+ 557
1900
+ 00:51:26,200 --> 00:51:31,620
1901
+ ุฑู…ูŠุชู‡ุŒ ุงุญุชู…ุงู„ ุฃู†ู‡ ูŠุทู„ุน ูŠุง ูˆุงุญุฏ ูŠุง ุงุชู†ูŠู† ูŠุง ุชู„ุงุชุฉ
1902
+
1903
+ 558
1904
+ 00:51:31,620 --> 00:51:39,780
1905
+ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุฃูŠ ูˆุงุญุฏ ููŠ ุฃูŠ ุณุทุญุŸ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉุŒ ุฅุฐุง
1906
+
1907
+ 559
1908
+ 00:51:39,780 --> 00:51:44,120
1909
+ ุฌุจุช ุญุฌุฑ ู†ุฑุฏ ุชุงู†ูŠุŒ ูŠุนู†ูŠ ูƒู†ุช ุฃุฑุจุน ุญุฌุฑูŠู†ุŒ ู‡ุงูŠ ุงู„ุญุฌุฑ
1910
+
1911
+ 560
1912
+ 00:51:44,120 --> 00:51:48,540
1913
+ ุงู„ุฃูˆู„ุŒ ูˆู‡ูŠ ุงู„ุญุฌุฑ ุงู„ุชุงู†ูŠุŒ ูˆุฌุจุช ู…ุฌู…ูˆุน ุงู„ู‚ุฑุงุกุงุช
1914
+
1915
+ 561
1916
+ 00:51:53,450 --> 00:51:58,870
1917
+ ูƒูŠูุŸ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ู…ู† ุจุจุณุงุทุฉุŒ ุงู„ุญุฌุฑ ุงู„ุฃูˆู„ุงู†ูŠ ู…ุน ูƒู„ ุฑู…ูŠุฉ
1918
+
1919
+ 562
1920
+ 00:51:58,870 --> 00:52:03,270
1921
+ ู„ู„ุญุฌุฑ ุงู„ุฃูˆู„ุงู†ูŠุŒ ู‡ูŠูƒูˆู† ุณุช ุงุญุชู…ุงู„ุงุชุŒ ู…ู† ุงู„ุชุงู†ูŠุฉุŒ ูŠุนู†ูŠ
1922
+
1923
+ 563
1924
+ 00:52:03,270 --> 00:52:08,470
1925
+ ู…ุน ุงู„ูˆุงุญุฏุŒ ุฃูŠ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ู…ู…ูƒู†
1926
+
1927
+ 564
1928
+ 00:52:08,470 --> 00:52:14,550
1929
+ ูŠูŠุฌูŠ ู…ุนู‡ุง ูˆุงุญุฏ ุฃูˆ ุงุชู†ูŠู† ุฃูˆ ุชู„ุงุชุฉ ุฃูˆ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ
1930
+
1931
+ 565
1932
+ 00:52:14,550 --> 00:52:21,090
1933
+ ุฃูˆ ุณุชุฉุŒ ู…ุน ุงู„ุงุชู†ูŠู† ู…ู† ุงู„ุญุฌุฑ ุงู„ุฃูˆู„ุงู†ูŠุŒ ุงุชู†ูŠู†ุŒ ูˆุงุญุฏุŒ
1934
+
1935
+ 566
1936
+ 00:52:21,090 --> 00:52:28,630
1937
+ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ู…ู…ูƒู† ุชุตูŠุฑ ู…ุนุงู‡ ูˆุงุญุฏ ุฃูˆ
1938
+
1939
+ 567
1940
+ 00:52:28,630 --> 00:52:33,950
1941
+ ุงุชู†ูŠู† ุฃูˆ ุชู„ุงุชุฉ ุฃูˆ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉุŒ ุงู„ุฑู…ูŠุฉุŒ ู†ุชูŠุฌุฉ
1942
+
1943
+ 568
1944
+ 00:52:33,950 --> 00:52:43,810
1945
+ ุงู„ุฑู…ูŠุฉุŒ ู„ูˆ ูƒุงู†ุช ู†ุชูŠุฌุฉ ุงู„ุชู„ุงุชุฉ ู…ู† ุงู„ุฃูˆู„ุŒ ุฑู…ูŠุฉ
1946
+
1947
+ 569
1948
+ 00:52:43,810 --> 00:52:50,700
1949
+ ุงู„ุชุงู†ูŠุฉ ู…ู…ูƒู† ุชุนุทูŠุŒ ู†ู‚ุงุด ู…ุนุงู‡ ูŠุง ูˆุงุญุฏุŒ ูŠุง ุงุชู†ูŠู†ุŒ ุฃูˆ
1950
+
1951
+ 570
1952
+ 00:52:50,700 --> 00:53:00,420
1953
+ ุชู„ุงุชุฉ ุฃูˆ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉุŒ ุฅุฐุง
1954
+
1955
+ 571
1956
+ 00:53:00,420 --> 00:53:07,680
1957
+ ูƒุงู†ุช ุฃุฑุจุนุฉุŒ ุจุฑุถู‡
1958
+
1959
+ 572
1960
+ 00:53:07,680 --> 00:53:17,180
1961
+ ู†ูุณู‡ุงุŒ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุทูŠุจุŒ ุงู„ุฎู…ุณุงุช
1962
+
1963
+ 573
1964
+ 00:53:24,160 --> 00:53:40,440
1965
+ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุงู„ุณุชุงุชุŒ ู„ูˆ
1966
+
1967
+ 574
1968
+ 00:53:40,440 --> 00:53:44,060
1969
+ ุฌู…ุนู†ุง ุงู„ุงุญุชู…ุงู„ุงุช
1970
+
1971
+ 575
1972
+ 00:53:44,060 --> 00:53:47,620
1973
+ ุงู„ู…ุฌู…ูˆุนุฉุŒ ุฃู†ุง ุจุฏูŠ ุฃุนุฑู ุงุญุชู…ุงู„ุงุช ุงู„ู…ุฌู…ูˆุนุฉุŒ ูˆุงุญุฏุŒ ุฒุงุฆุฏ
1974
+
1975
+ 576
1976
+ 00:53:47,620 --> 00:53:50,760
1977
+ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ
1978
+
1979
+ 577
1980
+ 00:53:53,130 --> 00:54:05,690
1981
+ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
1982
+
1983
+ 578
1984
+ 00:54:05,690 --> 00:54:09,230
1985
+ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉ
1986
+
1987
+ 579
1988
+ 00:54:12,780 --> 00:54:27,440
1989
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ
1990
+
1991
+ 580
1992
+ 00:54:27,440 --> 00:54:41,280
1993
+ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ
1994
+
1995
+ 581
1996
+ 00:54:41,280 --> 00:54:58,480
1997
+ ุฃุญุฏ ุนุดุฑุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุฃุญุฏ ุนุดุฑุŒ ุงุซู†ุง ุนุดุฑุŒ ุทูŠุจ
1998
+
1999
+ 582
2000
+ 00:54:58,480 --> 00:55:06,180
2001
+ ุฃู†ุง ุจุฏุฃุช ุฃุนู…ู„ ุดุบู„ุฉ ุชุงู†ูŠุฉุŒ ุงู„ู€ sumุŒ ูˆุงู„ุชูƒุฑุงุฑ
2002
+
2003
+ 583
2004
+ 00:55:06,180 --> 00:55:07,240
2005
+ ุงู„ู€ frequency ุจุชุงุนุชู‡ุง
2006
+
2007
+ 584
2008
+ 00:55:13,760 --> 00:55:22,640
2009
+ ุงู„ุงุชู†ูŠู†ุŒ ู…ุฑุฉุŒ ุจุชุชูƒุฑุฑุŒ ุงู„ุชู„ุงุชุฉ
2010
+
2011
+ 585
2012
+ 00:55:22,640 --> 00:55:32,640
2013
+ ู‡ุงูŠ ูˆุงุญุฏุŒ ู‡ุงูŠ ุงุชู†ูŠู†ุŒ ุงู„ุงุฑุจุนุฉ
2014
+
2015
+ 586
2016
+ 00:55:32,640 --> 00:55:42,260
2017
+ ู‡ุงูŠ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุงู„ุฎู…ุณุฉ
2018
+
2019
+ 587
2020
+ 00:55:44,270 --> 00:55:54,230
2021
+ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุงู„ุณุชุฉ
2022
+
2023
+ 588
2024
+ 00:55:54,230 --> 00:56:05,850
2025
+ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
2026
+
2027
+ 589
2028
+ 00:56:05,850 --> 00:56:15,430
2029
+ ุฎู…ุณุฉุŒ ุตุญุŒ ุงู„ุณุจุนุฉุŒ ุจุชุจู‚ู‰ุŒ ุตุญุŒ ุฃู†ุง ุจุนู…ู„ุŒ ุงู„ุณุจุนุฉ ู‡ูŠ ูˆุงุญุฏุŒ
2030
+
2031
+ 590
2032
+ 00:56:15,430 --> 00:56:25,230
2033
+ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
2034
+
2035
+ 591
2036
+ 00:56:25,230 --> 00:56:30,350
2037
+ ุณุชุฉุŒ ุงู„ุซู…ุงู†ูŠุฉ
2038
+
2039
+ 592
2040
+ 00:56:30,350 --> 00:56:33,490
2041
+ ุจูŠุจุฏุฃ
2042
+
2043
+ 593
2044
+ 00:56:33,490 --> 00:56:41,690
2045
+ ูŠู‚ู„ุŒ ุชู„ุงุชุฉุŒ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ
2046
+
2047
+ 594
2048
+ 00:56:44,910 --> 00:57:00,730
2049
+ ุฎู…ุณุฉุŒ ุงู„ุชุณุนุฉุŒ ูˆุงุญุฏุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุงู„ู€
2050
+
2051
+ 595
2052
+ 00:57:00,730 --> 00:57:11,410
2053
+ ... ู†ุญูƒูŠ ุงู„ู€ sum ูˆ ุงู„ู€ frequencyุŒ ุงู„ุนุดุฑุฉ ู‡ูŠ
2054
+
2055
+ 596
2056
+ 00:57:11,410 --> 00:57:24,680
2057
+ ูˆุงุญุฏุฉุŒ ู‡ูŠ ุงุชู†ูŠู†ุŒ ูˆ ุชู„ุงุชุฉุŒ ูˆ ุงู„ุงุญุฏุงุด ู…ุฑุชูŠู†ุŒ ูˆ
2058
+
2059
+ 597
2060
+ 00:57:24,680 --> 00:57:28,940
2061
+ ุงู„ุงุชู†ุงุด ูˆุงุญุฏุŒ ู„ูˆ ุฌู…ุนู†ุง ุฃุฑู‚ุงู… ๏ฟฝ๏ฟฝุฐุง ุงู„ู€ frequencyุŒ ูˆุงุญุฏ
2062
+
2063
+ 598
2064
+ 00:57:28,940 --> 00:57:33,520
2065
+ ูˆ ุงุชู†ูŠู†ุŒ ูˆ ุชู„ุงุชุฉุŒ ูˆุงุญุฏุŒ ูˆ ุงุชู†ูŠู†ุŒ ูˆ ุชู„ุงุชุฉุŒ ู‡ูŠ ุณุชุฉ ูˆ ุนุดุฑูŠู†
2066
+
2067
+ 599
2068
+ 00:57:33,520 --> 00:57:39,260
2069
+ ุฎู…ุณุฉ ูˆ ุนุดุฑูŠู†ุŒ ูˆุงุญุฏ ูˆ ุนุดุฑูŠู†ุŒ ุณุชุฉ ูˆ ุนุดุฑูŠู†ุŒ ุชู„ุงุชูŠู†ุŒ ูˆ ุณุชุฉุŒ ุณุชุฉุŒ
2070
+
2071
+ 600
2072
+ 00:57:39,260 --> 00:57:43,920
2073
+ ุชู„ุงุชูŠู†ุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ total ู‡ูŠูƒูˆู† ุณุชุฉ ูˆ ุชู„ุงุชูŠู† events
2074
+
2075
+ 601
2076
+ 00:57:43,920 --> 00:57:52,140
2077
+ ู„ู„ู…ุฌู…ูˆุนุŒ ู…ุนู†ุงุชู‡ ุงุญุชู…ุงู„ ุฃู† ูŠูƒูˆู† ู„ุฏูŠ ุงู„ู…ุฌู…ูˆุน ุงุชู†ูŠู†
2078
+
2079
+ 602
2080
+ 00:57:52,140 --> 00:58:00,440
2081
+ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉ ูˆ ุชู„ุงุชูŠู†ุŒ ุงุญุชู…ุงู„ ูŠูƒูˆู† ุงู„ู…ุฌู…ูˆุน ุณุจุนุฉุŒ ุณุชุฉ
2082
+
2083
+ 603
2084
+ 00:58:00,440 --> 00:58:06,440
2085
+ ุนู„ู‰ ุณุชุฉ ูˆ ุชู„ุงุชูŠู†ุŒ ุงุญุชู…ุงู„ ูŠูƒูˆู† ุงู„ู…ุฌู…ูˆุน ุฃุญุฏ ุนุดุฑุŒ ุงุชู†ูŠู†
2086
+
2087
+ 604
2088
+ 00:58:06,440 --> 00:58:15,400
2089
+ ุนู„ู‰ ุณุชุฉ ูˆ ุชู„ุงุชูŠู†ุŒ ู‡ุฐุง ูŠุนุทูŠู†ุง ู…ุง ูŠุณู…ู‰ ู‡ุณุชุฌุฑุงู…ุŒ ู‡ุณุชุฌุฑุงู…
2090
+
2091
+ 605
2092
+ 00:58:15,400 --> 00:58:21,040
2093
+ ุฑูˆุญุช ุนู…ู„ุช ุฃู†ุง bar chartุŒ ู‡ู†ุง ุงู„ู€ X axis ู‡ุฐุง ูŠู…ุซู„
2094
+
2095
+ 606
2096
+ 00:58:21,040 --> 00:58:26,520
2097
+ ุงู„ู…ุฌู…ูˆุนุŒ ู‡ู†ุง ุงู„ู…ุฌู…ูˆุนุŒ ุงุชู†ูŠู†ุŒ ุชู„ุงุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ
2098
+
2099
+ 607
2100
+ 00:58:26,520 --> 00:58:30,500
2101
+ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุฃุญุฏ ุนุดุฑุŒ ุงุซู†ุง ุนุดุฑุŒ ุงู„ุงุชู†ูŠู† ุจุชูƒุฑุฑ ูƒู…ุŒ ุญูƒูŠุช ุฃู†ุง
2102
+
2103
+ 608
2104
+ 00:58:30,500 --> 00:58:37,640
2105
+ ุฃู†ุง ู…ุฑุฉ ูˆุงุญุฏุฉุŒ ุงู„ุชู„ุงุชุฉุŒ ุงู„ู…ุฌู…ูˆุน ู…ุฑุชูŠู†ุŒ ุงู„ุฃุฑุจุนุฉ ุชู„ุงุช
2106
+
2107
+ 609
2108
+ 00:58:37,640 --> 00:58:45,680
2109
+ ู…ุฑุงุชุŒ ุงู„ุฎู…ุณุฉ ุฃุฑุจุน ู…ุฑุงุชุŒ ุงู„ุณุชุฉ ุฎู…ุณ ู…ุฑุงุชุŒ ุงู„ุณุจุนุฉ ุณุช
2110
+
2111
+ 610
2112
+ 00:58:45,680 --> 00:58:48,680
2113
+ ู…ุฑุงุชุŒ ูˆู‡ูƒุฐุงุŒ ู‡ุฐุง ูŠุณู…ู‰ histogram
2114
+
2115
+ 611
2116
+ 00:59:11,540 --> 00:59:15,500
2117
+ ุฅุฐุง ู‚ุณู…ู†ุง ุงู„ู€ ordinate ู„ู„ู€ chart by total number of
2118
+
2119
+ 612
2120
+ 00:59:15,500 --> 00:59:21,080
2121
+ possible outcomes ุฃูˆ possible eventsุŒ ุจูŠุนุทูŠู†ูŠ graph
2122
+
2123
+ 613
2124
+ 00:59:21,080 --> 00:59:24,720
2125
+ of probability distributionุŒ probability
2126
+
2127
+ 614
2128
+ 00:59:24,720 --> 00:59:28,440
2129
+ distributionุŒ ูŠุนู†ูŠ ู„ูˆ ู‚ุณู…ุช ุงู„ุงุชู†ูŠู†ุŒ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉุŒ
2130
+
2131
+ 615
2132
+ 00:59:28,440 --> 00:59:34,720
2133
+ ูŠุนู†ูŠ ู‡ุฐุงุŒ ู‡ูŠูƒูˆู†ุŒ ู‡ุฐุง ู‡ุชุตุจุญ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉุŒ ุนู„ู‰ ุณุชุฉ ูˆ
2134
+
2135
+ 616
2136
+ 00:59:34,720 --> 00:59:42,650
2137
+ ุชู„ุงุชูŠู†ุŒ ู‡ุฐุง ุงุชู†ูŠู† ุนู„ู‰ ุณุชุฉ ูˆ ุชู„ุงุชูŠู†ุŒ ุชู„ุงุชุฉ ุนู„ู‰ ุณุชุฉ ูˆ
2138
+
2139
+ 617
2140
+ 00:59:42,650 --> 00:59:49,290
2141
+ ุชู„ุงุชูŠู†ุŒ ุฃุฑุจุนุฉ ุนู„ู‰ ุณุช
2142
+
2143
+ 667
2144
+ 01:05:12,880 --> 01:05:21,840
2145
+ ู„ู€ X2 ู‡ุชูƒูˆู† ุงู„ู…ุณุงุญุฉ ุชุญุช ุงู„ู…ู†ุญู†ู‰ ุชูƒุงู…ู„ probability
2146
+
2147
+ 668
2148
+ 01:05:21,840 --> 01:05:28,860
2149
+ density function ู…ู† X1 ุฅู„ู‰ X2 ู…ุนู†ุงุชู‡ ู‡ุฐุง
2150
+
2151
+ 669
2152
+ 01:05:28,860 --> 01:05:35,520
2153
+ ุจูŠู…ุซู„ุด ุงู„ู€ probabilityุŒ ุจูŠู…ุซู„ุด ุงู„ู€ probabilityุŒ ุงู„ู€
2154
+
2155
+ 670
2156
+ 01:05:35,520 --> 01:05:38,920
2157
+ probability ู‡ูŠ ุงู„ู€ integration ู„ุฃู† ู‡ุฐุง density
2158
+
2159
+ 671
2160
+ 01:05:38,920 --> 01:05:47,200
2161
+ function ู„ูƒู„ pair ู…ู† XุŒ ู‡ุฐุง ู„ูˆ ุญูƒูŠุช ู…ุฏู‰ ุงู„ู€
2162
+
2163
+ 672
2164
+ 01:05:47,200 --> 01:05:51,440
2165
+ probability ุฃู† ุงู„ู€ measurementุŒ ุงู„ู€ probability ุฃู†ู‡
2166
+
2167
+ 673
2168
+ 01:05:51,440 --> 01:05:55,300
2169
+ ุงู„ู€
2170
+
2171
+ 674
2172
+ 01:05:55,300 --> 01:06:04,540
2173
+ measurement X ุชูƒูˆู† ุฃูƒุจุฑ ู…ู† X ูˆุงุญุฏุŒ ุฅูŠุด
2174
+
2175
+ 675
2176
+ 01:06:04,540 --> 01:06:08,020
2177
+ ู‡ุชูƒูˆู† ุงุญุชู…ุงู„ูŠู‘ุฉ
2178
+
2179
+ 676
2180
+ 01:06:08,020 --> 01:06:15,520
2181
+ ุชูƒูˆู† X ุฃูƒุจุฑ ู…ู† X ูˆุงุญุฏุŒ ุญุฏู‘
2182
+
2183
+ 677
2184
+ 01:06:15,520 --> 01:06:20,200
2185
+ ู†ุญูƒูŠ ู„ู…ุง ู„ู„ู†ู‡ุงูŠุฉุŒ ุตุญุŸ ู‡ุชูƒูˆู† ุชูƒุงู…ู„ ุงู„ู€ probability
2186
+
2187
+ 678
2188
+ 01:06:20,200 --> 01:06:26,760
2189
+ density function dX ู…ู† X ูˆุงุญุฏ ู„ู…ุง ู„ู„ู†ู‡ุงูŠุฉุŒ ุตุญุŸ
2190
+
2191
+ 679
2192
+ 01:06:29,600 --> 01:06:37,100
2193
+ ุฅุฐุง ุฃู‚ู„ุŒ ู‡ุชูƒูˆู† ู…ู† ู†ุงู‚ุต ู…ุง ู„ุง ู†ู‡ุงูŠุฉ ุฅู„ู‰ X ูˆุงุญุฏุŒ ุฅุฐุง ุฃู‚ู„
2194
+
2195
+ 680
2196
+ 01:06:37,100 --> 01:06:42,940
2197
+ ุฅูŠุด ุงุญุชู…ุงู„ูŠู‘ุฉ ูŠูƒูˆู†ูˆุง ุฃู‚ู„ ู…ู†
2198
+
2199
+ 681
2200
+ 01:06:42,940 --> 01:06:48,940
2201
+ ุฃุญูƒูŠ ุงู„ู€ probability ู„ู€ X ุชูƒูˆู† ุฃู‚ู„ ู…ู† ุฃูˆ ุชุณุงูˆูŠ X ูˆุงุญุฏ
2202
+
2203
+ 682
2204
+ 01:06:48,940 --> 01:06:55,320
2205
+ ุจุงู„ุณุงูˆูŠุฉ ูˆุงุญุฏ ู†ุงู‚ุต probability ู„ู€ X ุฃูƒุจุฑ ู…ู† X ูˆุงุญุฏ
2206
+
2207
+ 683
2208
+ 01:06:55,320 --> 01:07:00,760
2209
+ ู„ุฃู† ู…ุฌู…ูˆุนู‡ู… ูˆุงุญุฏุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ูŠู‘ุฉ ุฃู†ู‡ ุชุทู„ุน ุนู†ุฏูŠ ุฃูŠู‘
2210
+
2211
+ 684
2212
+ 01:07:00,760 --> 01:07:07,420
2213
+ ู‚ุฑุงุกุฉุŒ ุฅูŠุด ู‚ูŠู…ุชู‡ุงุŸ ู…ุฆุฉ ููŠ ุงู„ู…ุฆุฉุŒ ู…ุธุจูˆุทุŸ ุงุญุชู…ุงู„ ุฃู†ู‡
2214
+
2215
+ 685
2216
+ 01:07:07,420 --> 01:07:12,160
2217
+ ุชุทู„ุน ุนู†ุฏูŠ ุฃูŠู‘ ู‚ุฑุงุกุฉ ู…ุฆุฉ ููŠ ุงู„ู…ุฆุฉุŒ ุจุงู„ุธุจุทุŒ ู„ุงุฒู… ุชุทู„ุน
2218
+
2219
+ 686
2220
+ 01:07:12,160 --> 01:07:18,040
2221
+ ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ููŠ ุงู„ุขุฎุฑุŒ ูู€
2222
+
2223
+ 687
2224
+ 01:07:18,040 --> 01:07:21,940
2225
+ ุงู„ู€ probability for
2226
+
2227
+ 688
2228
+ 01:07:23,970 --> 01:07:29,250
2229
+ ู„ู„ู‚ุฑุงุกุฉ ุชูƒูˆู† ุจูŠู† ุงู„ู€ X1 ูˆ X2 ู‡ูŠ ุชูƒุงู…ู„ ู„ู„ู€ Fx dx ู…ู†
2230
+
2231
+ 689
2232
+ 01:07:29,250 --> 01:07:33,110
2233
+ X1 ุฅู„ู‰ X2ุŒ Fx ู‡ูˆ probability density function
2234
+
2235
+ 690
2236
+ 01:07:33,110 --> 01:07:37,550
2237
+ probability density functionุŒ probability density
2238
+
2239
+ 691
2240
+ 01:07:37,550 --> 01:07:39,710
2241
+ function ู‡ูŠ probability of occurrence per unit
2242
+
2243
+ 692
2244
+ 01:07:39,710 --> 01:07:43,250
2245
+ change of XุŒ ู‡ูŠ ุงู„ู€ probabilityุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ูŠู‘ุฉ ุญุฏูˆุซ
2246
+
2247
+ 693
2248
+ 01:07:43,250 --> 01:07:46,470
2249
+ ุงู„ุญุฏูˆุซ
2250
+
2251
+ 694
2252
+ 01:07:46,470 --> 01:07:50,190
2253
+ ู„ูƒู„ ุชุบูŠูŠุฑ ููŠ XุŒ ู„ูƒู„ ุชุบูŠูŠุฑ ููŠ XุŒ ุนุดุงู† ูƒุฏู‡ ุนู…ู„ุช
2254
+
2255
+ 695
2256
+ 01:07:50,190 --> 01:07:50,550
2257
+ integration
2258
+
2259
+ 696
2260
+ 01:07:57,890 --> 01:08:02,650
2261
+ ููŠ ุฃูŠู‘ ู‚ูŠุงุณุŒ some value x will be observedุŒ ุฃูŠู‘ ู‚ุฑุงุกุฉ
2262
+
2263
+ 697
2264
+ 01:08:02,650 --> 01:08:04,670
2265
+ ู…ู…ูƒู† ู†ู„ุงุญุธู‡ุงุŒ ู…ุง ูŠุทู„ุน ุนู†ุฏูŠ ู‚ุฑุงุกุฉ ููŠ ุงู„ุขุฎุฑ
2266
+
2267
+ 698
2268
+ 01:08:04,670 --> 01:08:08,690
2269
+ ูˆุจุงู„ุชุงู„ูŠ ุงู„ู€ total area ุชุญุช ุงู„ู€ probability density
2270
+
2271
+ 699
2272
+ 01:08:08,690 --> 01:08:14,110
2273
+ function ูˆุงุญุฏุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุฃู† ุขุฎุฐ ู‚ุฑุงุกุฉ ู…ุฆุฉ ุจุงู„ู…ุฆุฉ
2274
+
2275
+ 700
2276
+ 01:08:14,110 --> 01:08:14,670
2277
+ ู‡ุขุฎุฐ ู‚ุฑุงุกุฉ
2278
+
2279
+ 701
2280
+ 01:08:19,270 --> 01:08:21,470
2281
+ ุงู„ู€ precision error ููŠ ุงู„ู€ experimental data is
2282
+
2283
+ 702
2284
+ 01:08:21,470 --> 01:08:25,610
2285
+ often described according to the bell-shaped
2286
+
2287
+ 703
2288
+ 01:08:25,610 --> 01:08:27,630
2289
+ probability density functionุŒ ูŠุนู†ูŠ ุฃู†ุง ููŠ
2290
+
2291
+ 704
2292
+ 01:08:27,630 --> 01:08:30,010
2293
+ fluctuation about the meanุŒ ู‡ุฐุง ูŠู…ุซู„ precision
2294
+
2295
+ 705
2296
+ 01:08:30,010 --> 01:08:34,090
2297
+ ุชุฐุจุฐุจ ุญูˆุงู„ูŠ ุงู„ูˆุณุทุŒ ู‡ุฐุง ูŠู…ุซู„ precision ุฃูˆ random
2298
+
2299
+ 706
2300
+ 01:08:34,090 --> 01:08:41,110
2301
+ error for
2302
+
2303
+ 707
2304
+ 01:08:41,110 --> 01:08:46,810
2305
+ infinite populationุŒ ุงู„ู†ู…ูˆุฐุฌ ุงู„ุฑูŠุงุถูŠ ู„ู„ู€ Gaussian ุฃูˆ
2306
+
2307
+ 708
2308
+ 01:08:46,810 --> 01:08:49,070
2309
+ ุงู„ู€ normal distribution function ู…ูˆุถูˆุน ู„ู‡
2310
+
2311
+ 709
2312
+ 01:08:49,070 --> 01:08:52,870
2313
+ ุนู„ุงู‚ุฉ F of X ุชุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ ุณูŠุฌู…ุง ุฌุฐุฑ ุงู„ุชุฑุจูŠุน
2314
+
2315
+ 710
2316
+ 01:08:52,870 --> 01:08:59,270
2317
+ ุนู„ู‰ ุงุซู†ูŠู† ุจุงูŠ by exponential ู†ุงู‚ุต X ู†ุงู‚ุต ู…ูŠูˆ ุงู„ูƒู„ู‘
2318
+
2319
+ 711
2320
+ 01:08:59,270 --> 01:09:03,150
2321
+ ุชุฑุจูŠุน ุนู„ู‰ ุงุซู†ูŠู† ุณูŠุฌู…ุง ุชุฑุจูŠุนุŒ ุงู„ุณูŠุฌู…ุง ู‡ูŠ ุงู„ู€ standard
2322
+
2323
+ 712
2324
+ 01:09:03,150 --> 01:09:08,810
2325
+ deviation ู„ู„ู€ populationุŒ ุญุงู„ูŠู‘ู‹ุง ุจุญูƒูŠ ุนู† population
2326
+
2327
+ 713
2328
+ 01:09:08,810 --> 01:09:13,870
2329
+ ูˆุงู„ู…ูŠูˆ ู‡ูŠ ุงู„ู€ mean value ู„ู„ู€ populationุŒ ูŠุนู†ูŠ ุฒูŠ ู…ุง
2330
+
2331
+ 714
2332
+ 01:09:13,870 --> 01:09:20,930
2333
+ ุญูƒูŠู†ุง ู…ุฑุถู‰ ุงู„ุณูƒุฑูŠ ููŠ ูู„ุณุทูŠู†ุŒ ุงู„ู€ ู…ูŠูˆ ู‡ูŠ ู…ุซู„ู‹ุง ู…ู…ูƒู†
2334
+
2335
+ 715
2336
+ 01:09:20,930 --> 01:09:26,070
2337
+ ูŠู…ุซู„ ุงู„ุนุฏุฏ ุงู„ู…ุชูˆุณุทุŒ ุนุฏุฏ ู…ุชูˆุณุท ู„ู…ุฑุถู‰ ุงู„ุณูƒุฑูŠ ููŠ
2338
+
2339
+ 716
2340
+ 01:09:26,070 --> 01:09:33,430
2341
+ ูู„ุณุทูŠู†ุŒ ุฃูˆ ุงู„ู€
2342
+
2343
+ 717
2344
+ 01:09:33,430 --> 01:09:42,650
2345
+ sigma ู‡ูŠ ุงู„ุงู†ุญุฑุงู ุงู„ู…ุนูŠุงุฑูŠ ู„ู„ู€ populationุŒ ุทุจุนู‹ุง ุงู„ู€ ู…ูŠูˆ ุฅุฐุง
2346
+
2347
+ 718
2348
+ 01:09:42,650 --> 01:09:47,450
2349
+ ุนู†ุฏูŠ ุงู„ู€ population ูƒุงู…ู„ ุจุชู…ุซู„ ู„ู„ู€ true valueุŒ ู„ูƒู†
2350
+
2351
+ 719
2352
+ 01:09:47,450 --> 01:09:52,070
2353
+ ู„ู…ุง ุขุฎุฐ sample ุจุชุจุทู„
2354
+
2355
+ 720
2356
+ 01:09:52,070 --> 01:09:54,890
2357
+ ุชู…ุซู„ ู„ู„ู€ true value ู…ุฆุฉ ุจุงู„ู…ุฆุฉุŒ ุจูŠุตูŠุฑ ูŠุนู†ูŠ ููŠ
2358
+
2359
+ 721
2360
+ 01:09:54,890 --> 01:10:02,770
2361
+ ุงุฎุชู„ุงู ู„ุฃู† ุฃู†ุง ู…ุง ุขุฎุฐ ุฌุฒุก ู…ู† ุงู„ู€ population ู…ุด ูƒู„ู‘ู‡ุŒ ุงู„ู€
2362
+
2363
+ 722
2364
+ 01:10:02,770 --> 01:10:06,570
2365
+ X ู‡ูŠ magnitude of a particular measurementุŒ ู‚ูŠู…ุฉ
2366
+
2367
+ 723
2368
+ 01:10:06,570 --> 01:10:07,890
2369
+ ู‚ุฑุงุกุฉ ู…ุนูŠู‘ู†ุฉ
2370
+
2371
+ 724
2372
+ 01:10:12,940 --> 01:10:20,860
2373
+ ุนุดุงู† ุฃุญุณุจ ุงู„ู€ ู…ูŠูˆ ุจุญุณุจ ู…ุฌู…ูˆุน ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰
2374
+
2375
+ 725
2376
+ 01:10:20,860 --> 01:10:30,500
2377
+ ุนุฏุฏู‡ุงุŒ ุฃูˆ ุฃูˆ ูƒู„ ู‚ุฑุงุกุฉ ููŠ ูˆุฒู†ู‡ุงุŒ ูŠุนู†ูŠ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ููŠ
2378
+
2379
+ 726
2380
+ 01:10:30,500 --> 01:10:32,720
2381
+ ูˆุฒู†ู‡ุง ุฒูŠ ุงู„ู‚ุฑุงุกุฉ ุงู„ุซุงู†ูŠุฉ ููŠ ูˆุฒู†ู‡ุง ุฒูŠ ุงู„ู‚ุฑุงุกุฉ
2382
+
2383
+ 727
2384
+ 01:10:32,720 --> 01:10:35,780
2385
+ ุงู„ุซุงู„ุซุฉ ููŠ ูˆุฒู†ู‡ุง ุฒูŠ ุงู„ู‚ุฑุงุกุฉ ููŠ ูˆุฒู†ู‡ุง ูˆู‡ูƒุฐุงุŒ ู„ุฃู†
2386
+
2387
+ 728
2388
+ 01:10:35,780 --> 01:10:39,920
2389
+ ู‚ุฑุงุกุฉ ู‚ูŽุฑูŽุฃู’ุชู‡ุง ุฎู…ุณ ู…ุฑุงุช ู…ุง ุฃู†ูุนุด ุฃุนุทูŠู‡ุง ูˆุฒู† ูˆุงุญุฏุŒ ุตุญุŸ
2390
+
2391
+ 729
2392
+ 01:10:39,920 --> 01:10:45,590
2393
+ ู‚ุฑุงุกุฉ ู‚ุฑุฃุชู‡ุง ู…ุฑุชูŠู† ูƒุฃู†ู‘ู‡ ุจุฃุฌู…ุนู‡ุง ู…ุฑุชูŠู†ุŒ ุงู„ู‚ุฑุงุกุฉ ุฎู…ุณ ู…ุฑุงุช
2394
+
2395
+ 730
2396
+ 01:10:45,590 --> 01:10:48,690
2397
+ ูƒุฃู†ู‘ู‡ ุจุฃุฌู…ุนู‡ุง ุฎู…ุณ ู…ุฑุงุชุŒ ู…ุง ุฃู†ูุนุด ูˆุงู„ู„ู‡ ุฃุนู…ู„ ุฌุฏูˆู„
2398
+
2399
+ 731
2400
+ 01:10:48,690 --> 01:10:52,010
2401
+ ุฒูŠ ู‡ูŠูƒุŒ ุฃุนู…ู„ ุฌุฏูˆู„ุŒ ู‡ุงูŠ ู…ุฆุฉุŒ ู…ุฆุฉ ูˆูˆุงุญุฏุŒ ู…ุฆุฉ ูˆุงุซู†ูŠู†ุŒ
2402
+
2403
+ 732
2404
+ 01:10:52,010 --> 01:10:54,350
2405
+ ู…ุฆุฉ ูˆุซู„ุงุซุฉุŒ ู‡ุฐุง ูƒุฑู‘ุฑุชู‡ุง ู…ุฑุฉุŒ ู‡ุฐุง ุนุดุฑุŒ ู‡ุฐุง ุฎู…ุณูŠู†ุŒ ุฃุฑูˆุญ
2406
+
2407
+ 733
2408
+ 01:10:54,350 --> 01:10:56,510
2409
+ ุฃุฌู…ุน ุงู„ู‚ุฑุงุกุงุช ู‡ุฐุง ูˆุฃุญูƒูŠ ุนู„ู‰ ุงู„ู€ .. ุนู„ู‰ ุงู„ู€ .. ุนู„ู‰
2410
+
2411
+ 734
2412
+ 01:10:56,510 --> 01:11:01,310
2413
+ ุงู„ู…ุฌู…ูˆุน ู‡ุฐุงุŒ ู„ุฃุŒ ู‡ุฃุถุฑุจุŒ ุงู„ู‚ุฑุงุกุฉ ุงู„ุฃูˆู„ู‰ ููŠ ุชูƒุฑุงุฑู‡ุงุŒ
2414
+
2415
+ 735
2416
+ 01:11:01,310 --> 01:11:07,740
2417
+ ุชูƒุฑุงุฑู‡ุงุŒ ุจุนุฏูŠู† ุจุญุณุจ ู‡ูŠูƒ ุงู„ู€ averageุŒ ุงู„ู€ deviation
2418
+
2419
+ 736
2420
+ 01:11:07,740 --> 01:11:12,420
2421
+ ู‡ูˆ ุงู„ูุฑู‚ .. ุงู„ู€ deviation ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู‚ุฑุงุกุฉ ุชุญุช
2422
+
2423
+ 737
2424
+ 01:11:12,420 --> 01:11:21,480
2425
+ ุงู„ุฏุฑุงุณุฉ ูˆุงู„ู€ meanุŒ ุงู„ู€ deviation ู‡ูˆ X ู†ุงู‚ุต ู…ูŠูˆุŒ ู„ูˆ
2426
+
2427
+ 738
2428
+ 01:11:21,480 --> 01:11:28,060
2429
+ ุฌู…ุนุช ูƒู„ู‘ ุงู„ู€ deviationsุŒ ุฅูŠุด ู‡ูŠูƒูˆู† ู…ุฌู…ูˆุนู‡ุงุŸ ุตูุฑุŒ ู„ุฃู† ุฃู†ุง
2430
+
2431
+ 739
2432
+ 01:11:28,060 --> 01:11:30,840
2433
+ ู…ุง ุขุฎุฐ .. ุฃู†ุง ุงู†ุญุฑุงู ุนู† ุงู„ู€ .. ุนู† ุงู„ู€ averageุŒ ุจู‚ูˆู„ ุงู„ู€
2434
+
2435
+ 740
2436
+ 01:11:30,840 --> 01:11:34,120
2437
+ average ู‡ูˆ ุงู„ู€ average ุชุจุนู‡ู… ู‡ู…ู‘ุŒ ูˆุฃู†ุง ู…ุง ุขุฎุฐ ูƒู„ู‘ ู‚ุฑุงุกุฉ
2438
+
2439
+ 741
2440
+ 01:11:34,120 --> 01:11:37,880
2441
+ ุงู†ุญุฑุงู ุนู† ุงู„ู€ averageุŒ ูู…ุฌู…ูˆุนู‡ู… ุฅูŠุด ู‡ูŠุณุงูˆูŠุŸ ุตูุฑุŒ ูˆ
2442
+
2443
+ 742
2444
+ 01:11:37,880 --> 01:11:40,580
2445
+ ุจุงู„ุชุงู„ูŠ ุฅุฐุง ุฌู…ุนุช ูƒู„ู‘ ุงู„ู€ errors ููŠ ุฃุด ู…ูˆุฌุจุฉ ูˆุฃุด ุณุงู„ุจุฉ
2446
+
2447
+ 743
2448
+ 01:11:40,580 --> 01:11:45,620
2449
+ ู…ุด ู‡ุนุทูŠู†ูŠ ู…ุคุดู‘ุฑ ู„ู‚ูŠู…ุฉ ุงู„ู€ errorุŒ ุนุดุงู† ุฃู†ุง ุฃู†ุง ู…ุด ุนุงุฑู
2450
+
2451
+ 744
2452
+ 01:11:45,620 --> 01:11:50,000
2453
+ ุฅูŠุด ู‡ุฃุณูˆูŠุŸ ู‡ุขุฎุฐ ู…ุฑุจุนุงุชู‡ู…ุŒ ู„ู…ุง ุจู†ุฑุจุนู‡ู… ุจุชุฎุชููŠ ุงู„ู€
2454
+
2455
+ 745
2456
+ 01:11:50,000 --> 01:11:53,460
2457
+ negativeุŒ ุตุญุŸ ุนุดุงู† ู‡ูŠูƒ ุจู†ุญุตู„ ุนู„ู‰ ุงู„ู€ standard deviation
2458
+
2459
+ 746
2460
+ 01:11:53,460 --> 01:12:00,520
2461
+ ููŠ ุงู„ู€ populationุŒ ุจุญูƒูŠ ููŠ ุญุงู„ุฉ ุงู„ู€ populationุŒ ุงู„ู€
2462
+
2463
+ 747
2464
+ 01:12:00,520 --> 01:12:05,220
2465
+ standard deviation ุณูŠุฌู…ุง
2466
+
2467
+ 748
2468
+ 01:12:05,220 --> 01:12:12,840
2469
+ ุชุณุงูˆูŠ ุฌุฐุฑ ุงู„ุชุฑุจูŠุน ู„ู€ ู…ุฌู…ูˆุน ุงู„ู€ di ุชุฑุจูŠุน ุนู„ู‰
2470
+
2471
+ 749
2472
+ 01:12:12,840 --> 01:12:15,100
2473
+ ุฅูŠุดุŸ ุนู„ู‰ nุŒ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช
2474
+
2475
+ 750
2476
+ 01:12:18,260 --> 01:12:23,180
2477
+ ู„ูƒู† ู„ูˆ ุญูƒูŠุช ู…ุฌู…ูˆุน
2478
+
2479
+ 751
2480
+ 01:12:23,180 --> 01:12:33,440
2481
+ ุงู„ู€ deviation ุนู„ู‰ nุŒ ุฅูŠุด ู‡ูŠุณุงูˆูŠุŸ ุตูุฑุŒ ุนุดุงู† ุฃู†ุง
2482
+
2483
+ 752
2484
+ 01:12:33,440 --> 01:12:36,640
2485
+ ุจุถุทุฑ ุฃู†ุง ุฃุฑุจู‘ุน ูˆุขุฎุฐ ุฌุฐุฑ ุงู„ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ
2486
+
2487
+ 753
2488
+ 01:12:45,540 --> 01:12:48,460
2489
+ ุงู„ู„ูŠ ุฃู†ุง ููŠู‡ ู‡ู†ุง ู…ู„ุฎู‘ุต ู„ู€ Probability Estimates
2490
+
2491
+ 754
2492
+ 01:12:48,460 --> 01:12:55,820
2493
+ Based on Normal DistributionุŒ ุณูŠุฌู…ุง
2494
+
2495
+ 755
2496
+ 01:12:55,820 --> 01:13:06,440
2497
+ ุซู„ุงุซุฉ ุณูŠุฌู…ุงุŒ ุทูŠุจุŒ ู‡ู†ูŠุฌูŠ ู†ุฑุณู… ุงู„ุดูƒู„ุŒ ู‡ุงูŠ
2498
+
2499
+ 756
2500
+ 01:13:06,440 --> 01:13:06,740
2501
+ ุงู„ู€ mean
2502
+
2503
+ 757
2504
+ 01:13:26,700 --> 01:13:39,680
2505
+ ู‡ูŠ ู†ุงู‚ุต ุณูŠุฌู…ุง ูˆู‡ูŠ ุฒุงุฆุฏ ุณูŠุฌู…ุงุŒ ู‡ู†ุง ุนู†ุฏูŠ ู†ุงู‚ุต
2506
+
2507
+ 758
2508
+ 01:13:39,680 --> 01:13:51,940
2509
+ two sigmaุŒ ุฒุงุฆุฏ two sigmaุŒ ู†ุงู‚ุต
2510
+
2511
+ 759
2512
+ 01:13:51,940 --> 01:13:52,840
2513
+ three sigma
2514
+
2515
+ 760
2516
+ 01:13:55,470 --> 01:14:09,070
2517
+ ุฒุงุฆุฏ three sigmaุŒ ุฅุฐุง
2518
+
2519
+ 761
2520
+ 01:14:09,070 --> 01:14:12,630
2521
+ ุฃุฎุฐุช ุฃู†ุงุŒ ุญูƒูŠุช ุงู„ู€ error ุนู†ุฏูŠ ุงู„ู…ู‚ุจูˆู„ ุจุฏูŠ ูŠูƒูˆู† ุฒุงุฆุฏ
2522
+
2523
+ 762
2524
+ 01:14:12,630 --> 01:14:18,770
2525
+ ุฃูˆ ู†ุงู‚ุต ุณูŠุฌู…ุงุŒ ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุณูŠุฌู…ุงุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃู†ุชุฌุช
2526
+
2527
+ 763
2528
+ 01:14:18,770 --> 01:14:28,940
2529
+ ุทุงูˆู„ุฉ ุทูˆู„ู‡ุง ู…ุฆุฉุŒ ูˆุงู„ุณูŠุฌู…ุง ููŠู‡ุง ู…ุซู„ู‹ุง ูˆุงุญุฏ
2530
+
2531
+ 764
2532
+ 01:14:28,940 --> 01:14:34,660
2533
+ millimeterุŒ ู†ุญูƒูŠ ุฎู…ุณุฉ millimeter ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต
2534
+
2535
+ 765
2536
+ 01:14:34,660 --> 01:14:39,160
2537
+ ุณูŠุฌู…ุงุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุงู„ุทุงูˆู„ุฉ ุทูˆู„ู‡ุง ูŠุฑูˆุญ ุจูŠู† ุงู„ุชุณุนูŠู† ูˆ
2538
+
2539
+ 766
2540
+ 01:14:39,160 --> 01:14:44,180
2541
+ ูˆุชุณุนูŠู† ูˆู…ุฆุฉ ูˆู†ุตูุŒ ูŠุนู†ูŠ ู†ุญูƒูŠ ู…ุชุฑ .. ุฎู„ูŠู†ุง ู†ุญูƒูŠ ู…ุฆุฉ
2542
+
2543
+ 767
2544
+ 01:14:44,180 --> 01:14:49,360
2545
+ ุณู†ุชูŠ ูˆู†ุตู ุณู†ุชูŠ ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต .. ู…ุฆุฉุŒ ูŠุนู†ูŠ ุชุณุนุฉ
2546
+
2547
+ 768
2548
+ 01:14:49,360 --> 01:14:57,990
2549
+ ูˆุชุณุนูŠู† ูˆู†ุตู ูˆู…ุฆุฉ ูˆู†ุตูุŒ ุตุญุŸ ู‡ุฐุง ุฃู†ุง ุฃู†ุชุฌุชุŒ ุจุญูƒูŠ ุฃู†ุง
2550
+
2551
+ 769
2552
+ 01:14:57,990 --> 01:15:03,970
2553
+ ูƒู„ู‘ ุทุงูˆู„ุฉ ุจุฃุทู„ุนู‡ุง ุจุชูƒูˆู† ููŠ ุงู„ู€ range ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต
2554
+
2555
+ 770
2556
+ 01:15:03,970 --> 01:15:07,350
2557
+ ุณูŠุฌู…ุงุŒ otherwise ุจุฃุนุชุจุฑู‡ุง defectุŒ ุจุฑุฌุน ู„ูƒ ุจุฏุงู„ู‡ุง
2558
+
2559
+ 771
2560
+ 01:15:07,350 --> 01:15:11,170
2561
+ ุฅุฐุง
2562
+
2563
+ 772
2564
+ 01:15:11,170 --> 01:15:16,070
2565
+ ุญูƒูŠุช ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุณูŠุฌู…ุง ุจูŠูƒูˆู† ุงู„ู€ confidence level
2566
+
2567
+ 773
2568
+ 01:15:16,070 --> 01:15:20,670
2569
+ 68.3%ุŒ ูŠุนู†ูŠ
2570
+
2571
+ 774
2572
+ 01:15:32,930 --> 01:15:36,630
2573
+ ุนุดุงู† ุชูƒูˆู† confidence level 68.3%ุŒ ู„ุฃุตู„ ู…ุนู†ุงู‡ ุงู„ู€
2574
+
2575
+ 775
2576
+ 01:15:36,630 --> 01:15:42,170
2577
+ ุณูŠุฌู…ุง ู…ุนู†ุงุชู‡ ู„ูˆ ุฃุฎุฐุช ุงู„ุทูˆู„ุงุช ูˆู‚ุณุชู‡ุง ู‡ูŠุทู„ุน ุชู‚ุฑูŠุจู‹ุง
2578
+
2579
+ 776
2580
+ 01:15:42,170 --> 01:15:51,010
2581
+ 68.3% ู…ู† ุงู„ุทูˆู„ุงุช within rangeุŒ within rangeุŒ ูˆุงู„ุจุงู‚ูŠ
2582
+
2583
+ 777
2584
+ 01:15:51,010 --> 01:15:58,770
2585
+ out of rangeุŒ ุงู„ุจุงู‚ูŠ ุญูˆุงู„ูŠ 32%ุŒ ูŠุนู†ูŠ ุชู‚ุฑูŠุจู‹ุง ุซู„ุซุŒ ูŠุนู†ูŠ
2586
+
2587
+ 778
2588
+ 01:15:58,770 --> 01:16:12,850
2589
+ ููŠ ูƒู„ู‘ ุซู„ุซ ุทูˆู„ุงุงุชู‡ุŒ ุจูŠุทู„ุน ู…ู†ู‡ู… ูˆุงุญุฏุฉ out of rangeุŒ ุทูŠุจ
2590
+
2591
+ 779
2592
+ 01:16:12,850 --> 01:16:17,710
2593
+ ููŠ ู‡ู†ุง two sigma errorุŒ ู‡ูˆ ู…ุง ูŠูƒูˆู†ูˆุด two sigmaุŒ ูŠุนู†ูŠ
2594
+
2595
+ 780
2596
+ 01:16:17,710 --> 01:16:22,610
2597
+ ุฒุงุฆุฏ ูˆู†ุงู‚ุต one point ุชุณุนุฉ ุณุชุฉ ุณูŠุฌู…ุงุŒ ุฅุฐุง ุงุฎุชุฑุช ุนู„ู‰
2598
+
2599
+ 781
2600
+ 01:16:22,610 --> 01:16:29,030
2601
+ ุงู„ุดู…ุงู„ ู†ุงู‚ุต one point nine six ุณูŠุฌู…ุงุŒ ูˆุฒุงุฆุฏ one
2602
+
2603
+ 782
2604
+ 01:16:29,030 --> 01:16:32,550
2605
+ point nine six ุณูŠุฌู…ุงุŒ ุงู„ู€ confidence level ุฎู…ุณูŠู† ููŠ
2606
+
2607
+ 783
2608
+ 01:16:32,550 --> 01:16:37,930
2609
+ ุงู„ู…ุฆุฉุŒ ูŠุนู†ูŠ ู‡ูŠูƒูˆู† ุฎู…ุณูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ู† ุงู„ุทุงูˆู„ุงุช ุฌูˆุง ุงู„ู€
2610
+
2611
+ 784
2612
+ 01:16:37,930 --> 01:16:47,150
2613
+ range ุงู„ู„ูŠ ุฃู†ุง ุญุงุทู‘ู‡ุŒ ุงู„ู„ูŠ ุฃุนุชู…ุฏุชู‡ ููŠ ุงู„ู…ุตู†ุนุŒ ูŠุนู†ูŠ
2614
+
2615
+ 785
2616
+ 01:16:49,470 --> 01:16:53,470
2617
+ ูˆุงุญุฏ ู…ู† ุนุดุฑูŠู† ุจูŠูƒูˆู† out of rangeุŒ ู†ูุณ ุงู„ุดูŠุก ููŠ ุงู„ู€
2618
+
2619
+ 786
2620
+ 01:16:53,470 --> 01:16:55,110
2621
+ measurementุŒ ู†ูุณ ุงู„ุดูŠุก ููŠ ุงู„ู€ measurementุŒ ู„ู…ุง ุฃุญูƒูŠ ุนู†
2622
+
2623
+ 787
2624
+ 01:16:55,110 --> 01:16:58,410
2625
+ ุงู„ู€ confidence level ุนู†ุฏูƒ ุฎู…ุณูŠู† ููŠ ุงู„ู…ุฆุฉุŒ ู…ุนู†ุงุชู‡ one
2626
+
2627
+ 788
2628
+ 01:16:58,410 --> 01:17:04,950
2629
+ out of twenty are out of rangeุŒ ุจุฑู‘ุงุŒ ู‡ุชูƒูˆู† ู„ูˆ
2630
+
2631
+ 789
2632
+ 01:17:04,950 --> 01:17:10,010
2633
+ ุญุทูŠุชูŠ three sigmaุŒ ุฒุงุฆุฏ ูˆู†ุงู‚ุตุŒ ู†ุงู‚ุต three sigma
2634
+
2635
+ 790
2636
+ 01:17:10,010 --> 01:17:13,690
2637
+ ุนู„ู‰ ุงู„ุดู…ุงู„ุŒ ูˆุนู„ู‰ limit ุฒุงุฆุฏ three sigmaุŒ ุจูŠุตูŠุฑ
2638
+
2639
+ 791
2640
+ 01:17:13,690 --> 01:17:19,430
2641
+ confidence level ุนู†ุฏูƒ ุชุณุนุฉ ูˆุชุณุนูˆู† point ุณุจุนุฉุŒ ูŠุนู†ูŠ
2642
+
2643
+ 792
2644
+ 01:17:19,430 --> 01:17:22,630
2645
+ point
2646
+
2647
+ 793
2648
+ 01:17:22,630 --> 01:17:26,910
2649
+ ุซู„ุงุซุฉ ููŠ ุงู„ู…ุฆุฉ ุจุชูƒูˆู† out of rangeุŒ ูŠุนู†ูŠ ููŠ ูƒู„ู‘
2650
+
2651
+ 794
2652
+ 01:17:26,910 --> 01:17:33,970
2653
+ ุซู„ุงุซู…ุฆุฉ ูˆุณุจุนูŠู† ุทุงูˆู„ุฉุŒ ู‡ูŠูƒูˆู† ูˆุงุญุฏุฉ ู…ู† ุซู„ุงุซู…ุฆุฉ ูˆ
2654
+
2655
+ 795
2656
+ 01:17:33,970 --> 01:17:38,810
2657
+ ุณุจุนูŠู† ุจุฑู‘ุง ุงู„ู€ range ุงู„ู„ูŠ ุฃู†ุง ุงุนุชู…ุฏุชู‡ุŒ ุจุฑู‘ุง ุงู„ู€ range
2658
+
2659
+ 796
2660
+ 01:17:38,810 --> 01:17:41,890
2661
+ ุงู„ู„ูŠ ุฃู†ุง ุงุนุชู…ุฏุชู‡ุŒ ูŠุนู†ูŠ ูˆุงุญุฏุฉ ู‚ุฑุงุกุฉ ู…ู† ูƒู„ู‘ ุซู„ุงุซู…ุฆุฉ ูˆ
2662
+
2663
+ 797
2664
+ 01:17:41,890 --> 01:17:47,260
2665
+ ู‚ุฑุงุกุฉ ุจุชูƒูˆู† ุจุฑู‘ุง ุงู„ู€ range ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุซู„ุงุซุฉ ุณูŠุฌู…ุง
2666
+
2667
+ 798
2668
+ 01:17:47,260 --> 01:17:54,960
2669
+ ุงู„ุขู†
2670
+
2671
+ 799
2672
+ 01:17:54,960 --> 01:18:08,220
2673
+ ููŠ ุงู„ุชุตู†ูŠุนุŒ ุฅุชู‘ุจูŽุนู’
2674
+
2675
+ 800
2676
+ 01:18:09,920 --> 01:18:13,800
2677
+ ุฅู†ู‘ูƒ ุชุญูƒูŠ ูˆุงู„ู„ู‡ ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุซู„ุงุซุฉ ุณูŠุฌู…ุงุŒ ุฃุถู’ุจูŽุทู’ ูƒุซูŠุฑ
2678
+
2679
+ 801
2680
+ 01:18:13,800 --> 01:18:17,800
2681
+ ู…ู† ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต one sigmaุŒ ุตุญุŸ
2682
+
2683
+ 802
2684
+ 01:18:19,890 --> 01:18:24,250
2685
+ ู„ุฃู† ุฃุถู’ู…ูู† ู…ุนู†ุงุชู‡ ุฃู†ุชูŽ ู‡ุชุทู„ุนุŒ ุฃู†ุชูŽ ุชุฏู‘ุนูŠ ูˆุงู„ู„ู‡ ุฃู†ุง
2686
+
2687
+ 803
2688
+ 01:18:24,250 --> 01:18:29,630
2689
+ ุงู„ุทุงูˆู„ุฉ ุงู„ุฎุทุฃ ููŠู‡ุง ุฒุงุฆุฏ ุฃูˆ ู†ุงู‚ุต ุงู„ุซู„ุงุซุฉ ุณูŠุฌู…ุง
2690
+
2691
+ 804
2692
+ 01:18:29,630 --> 01:18:33,810
2693
+ ูŠุนู†ูŠ ูˆู…ู† ูƒู„ู‘ ุซู„ุงุซู…ุฆุฉ ูˆุณุจุนูŠู† ุทุงูˆู„ุฉ ู‡ุชูƒูˆู† oneุŒ ูˆุงุญุชู…ุงู„
2694
+
2695
+ 805
2696
+ 01:18:33,810 --> 01:18:37,770
2697
+ ุชูƒูˆู† one defectุŒ ูˆุงุญุชู…ุงู„ ู„ุฃุŒ ู‡ุฐุง ุงุญุชู…ุงู„ุŒ ูŠุธู„ู‘ ู‡ุฐุง ู„ู…ุง
2698
+
2699
+ 806
2700
+ 01:18:37,770 --> 01:18:43,050
2701
+ ุฃุญูƒูŠ one in ุซู„ุงุซู…ุฆุฉ ูˆุณุจุนูŠู†ุŒ ู…ุด ุถุฑูˆุฑุฉ ูŠุตูŠุฑุŒ ุจุณ ู…ู…ูƒู†
2702
+
2703
+ 807
2704
+ 01:18:43,050 --> 01:18:49,970
2705
+ ูŠุตูŠุฑุŒ ุฃูˆ ู…ุชูˆู‚ู‘ุน ูŠุตูŠุฑุŒ ู„ู…ุง ุฃุญูƒูŠ one in threeุŒ ู…ุด ุถุฑูˆุฑุฉ
2706
+
2707
+ 808
2708
+ 01:18:49,970 --> 01:18:54,010
2709
+ ูŠุตูŠุฑุŒ ุจุณ ู…ู…ูƒู† ูŠุตูŠุฑุŒ ูˆุงุญุชู…ุงู„ ูƒุจูŠุฑ ุฃู†ู‡ ูŠุตูŠุฑ ุงู„ุญุฏุซ
2710
+
2711
+ 809
2712
+ 01:18:54,010 --> 01:18:59,110
2713
+ ูˆุงุถุญุŸ
2714
+
2715
+ 810
2716
+ 01:18:59,110 --> 01:19:04,470
2717
+ ู‡ุฐุง
2718
+
2719
+ 811
2720
+ 01:19:04,470 --> 01:19:06,730
2721
+ ุงู„ุญูƒูŠ ุนู† ุงู„ู€ meanุŒ standard deviation ุงู„ู„ูŠ ู‡ูˆ ุณูŠุฌู…ุง
2722
+
2723
+ 812
2724
+ 01:19:06,730 --> 01:19:09,910
2725
+ ูŠุณุงูˆูŠ ุฌุฐุฑ ุงู„ุชุฑุจูŠุน ู„ู…ุฌู…ูˆุน ุงู„ู€ deviations ุชุฑุจูŠุน ุนู„ู‰
2726
+
2727
+ 813
2728
+ 01:19:09,910 --> 01:19:14,630
2729
+ ุงู„ู€ nุŒ when
2730
+
2731
+ 814
2732
+ 01:19:14,630 --> 01:19:15,630
2733
+ sigma is smaller
2734
+
2735
+ 815
2736
+ 01:19:20,080 --> 01:19:27,160
2737
+ ุณูŠุฌู…ุง ุตุบูŠุฑุฉ ู…ุนู†ุงุชู‡ we have more precisionุŒ data are
2738
+
2739
+ 816
2740
+ 01:19:27,160 --> 01:19:31,120
2741
+ more preciseุŒ ุฅุญู†ุง ู‡ู†ุง ุงู„ู€ precision ุจุชุนุจู‘ุฑ ุนู† ู‚ุฑุจ
2742
+
2743
+ 817
2744
+ 01:19:31,120 --> 01:19:36,020
2745
+ ุงู„ู‚ุฑุงุกุงุช ู…ู† ุจุนุถู‡ุงุŒ ุนู† ู‚ุฑุจ ุงู„ู‚ุฑุงุกุงุช ู…ู† ุจุนุถู‡ุงุŒ ุงู„ู€
2746
+
2747
+ 818
2748
+ 01:19:36,020 --> 01:19:42,800
2749
+ accuracy ุจุชุนุจู‘ุฑ ุนู† ู…ุฏู‰ ู‚ุฑุจ ุงู„ู€ mean value ู…ู† ุงู„ู€ true
2750
+
2751
+ 819
2752
+ 01:19:42,800 --> 01:19:47,950
2753
+ valueุŒ ูˆุงุถุญุŸ ูˆุฅุญู†ุง ุถุฑุจู†ุง example ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู†
2754
+
2755
+ 820
2756
+ 01:19:47,950 --> 01:19:52,430
2757
+ ุฃุดูŠุงุก accurate ู„ูƒู† not preciseุŒ ุฃูˆ precise ู„ูƒู† ู…ุด
2758
+
2759
+ 821
2760
+ 01:19:52,430 --> 01:19:57,630
2761
+ accurateุŒ ุฃุญุฏ
2762
+
2763
+ 822
2764
+ 01:19:57,630 --> 01:20:05,370
2765
+ ุงู„ุทุฑู‚ ุนุดุงู† ู†ุชุนุงู…ู„ ู…ุน ุงู„ู†ู‚ุงุท ุงู„ุดุงุฐู‘ุฉ ููŠ ุงู„ุชุฌุงุฑุจุŒ ุงู„ู†ู‚ุงุท
2766
+
2767
+ 823
2768
+ 01:20:05,370 --> 01:20:10,070
2769
+ ุงู„ุดุงุฐู‘ุฉ ููŠ ุงู„ุชุฌุงุฑุจุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ู€ error ูŠุนู†ูŠ ูƒุงู†ุช ุงู„ู€
2770
+
2771
+ 824
2772
+ 01:20:10,070 --> 01:20:10,430
2773
+ error
2774
+
2775
+ 825
2776
+ 01:20:13,460 --> 01:20:17,300
2777
+ ููŠ ุงู„ุจูŠุงู†ุงุชุŒ ุฅุฐุง ุทู„ุนุช ุงู„ู‚ุฑุงุกุฉ out of ุฒุงุฆุฏ ุซู„ุงุซุฉ
2778
+
2779
+ 826
2780
+ 01:20:17,300 --> 01:20:21,060
2781
+ ุณูŠุฌู…ุง ุฃูˆ ู†ุงู‚ุต ุซู„ุงุซุฉ ุณูŠุฌู…ุงุŒ ุนู„ู‰ ุงู„ุฃุบู„ุจ ุจุชูƒูˆู† ุฅูŠุดุŸ
2782
+
2783
+ 827
2784
+ 01:20:21,060 --> 01:20:26,320
2785
+ ู†ู‚ุทุฉ ููŠู‡ุง ุฎู„ู„ุŒ ุงู„ู‚ุฑุงุกุฉ ููŠู‡ุง ุฎู„ู„ุŒ ู…ุนู‡ุง ู†ู‚ุทุฉ ุดุงุฐู‘ุฉุŒ ูˆ
2786
+
2787
+ 828
2788
+ 01:20:26,320 --> 01:20:29,560
2789
+ ู„ู…ุง ุชุนู…ู„ graphic ุฃู†ุชูŽ ุฃุญูŠุงู†ู‹ุง ุจุชู„ุงู‚ูŠ ุฅูŠุดุŸ ู†ู‚ุทุฉ ู…ุด
2790
+
2791
+ 829
2792
+ 01:20:29,560 --> 01:20:39,900
2793
+ ู…ู†ุทู‚ูŠุฉุŒ ูƒู„ู‘ ุงู„ุฏู†ูŠุง ุฌุงูŠุฉ ุฒูŠ ู‡ูŠูƒุŒ ู‡ุงูŠ X ู…ุน YุŒ ูˆุฌุงูŠุฉ
2794
+
2795
+ 830
2796
+ 01:20:39,900 --> 01:20:42,820
2797
+ ู†ู‚ุทุฉ ู‡ู†ุงุŒ ุฃุธุจุท
2798
+
2799
+ 831
2800
+ 01:20:45,010 --> 01:20:49,750
2801
+ ููŠ ุฎู„ู„ุŒ ู‡ุชูƒูˆู† out of rangeุŒ ูŠุนู†ูŠ ุจุชูƒูˆู† ุจุฑู‘ุง ุฒุงุฆุฏ ุฃูˆ
2802
+
2803
+ 832
2804
+ 01:20:49,750 --> 01:20:55,370
2805
+ ู†ุงู‚ุต ุซู„ุงุซุฉ ุณูŠุฌู…ุงุŒ ู†ู‚ุทุฉ ูˆุงุญุฏุฉุŒ ุจู‚ูˆุฉ ุฃู†ุง ุจุญูƒูŠ ุจุฏู‘ูŠ
2806
+
2807
+ 833
2808
+ 01:20:55,370 --> 01:20:57,930
2809
+ ุฃุณุชุจุนุฏุŒ ุจุฏู‘ูŠ ุฃุดูŠู„ู‡ุง ู…ู† ุงู„ุจูŠุงู†ุงุชุŒ ู„ุฃู† ุฅุฐุง ุฎู„ูŠุชู‡ุง ู‡ุชุนู…ู„
2810
+
2811
+ 834
2812
+ 01:20:57,930 --> 01:21:01,850
2813
+ ุงู„ู€ curve fitting ู…ุด ุตุญุŒ ู…ุธุจูˆุทุŸ ู‡ุชุญุงูˆู„ ุชุญุฑู‘ูู‡ ุดูˆูŠุฉุŒ ุฒูŠ
2814
+
2815
+ 835
2816
+ 01:21:01,850 --> 01:21:05,910
2817
+ ู‡ูŠูƒุŒ ู‡ุชุนุทูŠู†ูŠ
2818
+
2819
+ 836
2820
+ 01:21:05,910 --> 01:21:12,250
2821
+ slope ุบู„ุทุŒ ู‡ุชุนุทูŠู†ูŠ intercept ุบู„ุทุŒ ู„ุฃู† ุงู„ู†ู‚ุทุฉ ู…ุด
2822
+
2823
+ 837
2824
+ 01:21:12,250 --> 01:21:18,660
2825
+ ู…ู†ุทู‚ูŠุฉุŒ ู‡ู†ุญูƒูŠ ุนู† ุงู„ู€ curve fittingุŒ ุงู„ู€ curve fitting ู„ู…ุง
2826
+
2827
+ 838
2828
+ 01:21:18,660 --> 01:21:23,420
2829
+ ุฃุนู…ู„ ุนู†ุฏูŠ ุจูŠุงู†ุงุช ูˆุฃุนู…ู„ู‡ุง curve fittingุŒ ุงู†ุชุจู‡ูˆุง ุนุงุฏุฉู‹
2830
+
2831
+ 839
2832
+ 01:21:23,420 --> 01:21:26,020
2833
+ ู„ู…ุง ุชุนู…ู„ curve fitting ููŠ ุงู„ู€ softwareุŒ ููŠ ุจุฑู†ุงู…ุฌ ุฒูŠ
2834
+
2835
+ 840
2836
+ 01:21:26,020 --> 01:21:28,220
2837
+ ุงู„ู€ Excel ุฃูˆ ุงู„ู€ MATLAB ุฃูˆ ุงู„ู€ Mathematica ุจูŠุนู…ู„ูƒ
2838
+
2839
+ 841
2840
+ 01:21:28,220 --> 01:21:32,780
2841
+ curve fitting within ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ู…ุนุทูŠู‡ุงุŒ ู„ูƒู† ุฎุงุฑุฌ
2842
+
2843
+ 842
2844
+ 01:21:32,780 --> 01:21:36,620
2845
+ ู†ุทุงู‚ ุงู„ุจูŠุงู†ุงุชุŒ ู…ู…ูƒู† ูŠุนุทูŠู†ุง ุดูŠุก completely ุบู„ุทุŒ ูู„ุง
2846
+
2847
+ 843
2848
+ 01:21:36,620 --> 01:21:41,390
2849
+ ูŠุนู†ูŠ ุฃู†ู‡ ุฃุน
2850
+
2851
+ 889
2852
+ 01:26:48,220 --> 01:26:52,720
2853
+ ู…ุง ุนู…ู„ู‡ุง tabulation ู…ุง ุนู…ู„ู‡ุง ุฌุฏูˆู„ุฉ ู„ z ูˆ ุงู„
2854
+
2855
+ 890
2856
+ 01:26:52,720 --> 01:27:01,560
2857
+ fz ุนู†ุฏ
2858
+
2859
+ 891
2860
+ 01:27:01,560 --> 01:27:02,200
2861
+ ู‡ุฐู‡ ุงู„ z
2862
+
2863
+ 892
2864
+ 01:27:08,310 --> 01:27:13,370
2865
+ ูˆ ุงู„ F of Z ูŠุนู†ูŠ ู„ูˆ Z ูƒุงู†ุช ุจุนุฏ ู…ุง ุฃู†ุง ุญูƒูŠุช Z
2866
+
2867
+ 893
2868
+ 01:27:13,370 --> 01:27:21,870
2869
+ ุจุงู„ุณุงูˆูŠุฉ X minus Mu ุนู„ู‰ SigmaุŒ ุงู„ Mu ู‡ูŠ ุงู„ average
2870
+
2871
+ 894
2872
+ 01:27:21,870 --> 01:27:23,810
2873
+ valueุŒ ูˆ ุงู„ Sigma ุงู„ standard deviationุŒ ุจู†ุนุฑู ูƒูŠู
2874
+
2875
+ 895
2876
+ 01:27:23,810 --> 01:27:29,830
2877
+ ู†ุญุณุจู‡ ุจุนุฏูŠู† for certain XุŒ ุจุญุณุจ Z ุจุนุฏูŠู† ุจุฏุฎู„ ุงู„ุฌุฏูˆู„
2878
+
2879
+ 896
2880
+ 01:27:29,830 --> 01:27:35,990
2881
+ ู‡ุฐุง ู„ูˆ
2882
+
2883
+ 897
2884
+ 01:27:35,990 --> 01:27:37,550
2885
+ ูƒุงู†ุช Z point ุงุชู†ูŠู†
2886
+
2887
+ 898
2888
+ 01:27:42,020 --> 01:27:54,440
2889
+ ุจู†ุฒู„ ุนู„ู‰ ุงู„ point ุงุชู†ูŠู† ู‡ูŠุณูุฑ ูˆุงุญุฏ ุงุชู†ูŠู† ุชู„ุงุชุฉ ูƒูˆู†
2890
+
2891
+ 899
2892
+ 01:27:54,440 --> 01:27:59,160
2893
+ F of Z ุฃูˆ
2894
+
2895
+ 900
2896
+ 01:27:59,160 --> 01:28:08,140
2897
+ ู‡ุชู…ุซู„ F of Z ุงู„ probability ู„ point O ุชุณุนุฉ ูˆุงุญุฏ ุฃูˆ
2898
+
2899
+ 901
2900
+ 01:28:08,140 --> 01:28:18,440
2901
+ ู‡ุชู…ุซู„ ุชูƒุงู…ู„ F(Z)dZ ู…ู† ุตูุฑ ู„ ZุŒ ูˆุงุถุญ ู‡ุฐุง ู‡ุชู…ุซู„
2902
+
2903
+ 902
2904
+ 01:28:18,440 --> 01:28:23,560
2905
+ integrationุŒ ู‡ุฐุง ุงู„ integration ุทุจุนุง ู…ุนู…ูˆู„
2906
+
2907
+ 903
2908
+ 01:28:23,560 --> 01:28:29,720
2909
+ numerical ู„ุฃู† ู‡ุฐุง ู…ุงููŠุด ู„ู‡ exact form solution ูŠุนู†ูŠ
2910
+
2911
+ 904
2912
+ 01:28:29,720 --> 01:28:33,300
2913
+ ู…ุงู‚ุฏุฑุด ุฃุฌูŠุจ ุงู„ integration ุจุชุงุนู‡ ุจุงู„ุทุฑู‚ ุงู„ุชู‚ู„ูŠุฏูŠุฉ
2914
+
2915
+ 905
2916
+ 01:28:33,300 --> 01:28:36,300
2917
+ ู„ุงุฒู… ุฃุนู…ู„ู‡ numerical integrationุŒ numerical
2918
+
2919
+ 906
2920
+ 01:28:37,400 --> 01:28:40,920
2921
+ integrationุŒ ุงู„ integration ููŠ ุงู„ุฃุฎุฑ ุฅูŠุด ู‡ูˆุŸ ู…ุณุงุญุฉ
2922
+
2923
+ 907
2924
+ 01:28:40,920 --> 01:28:45,640
2925
+ ุตุญุŒ ู…ุณุงุญุฉ ุชุญุช ู…ู†ุญู†ู‰ุŒ ูุงู„ู…ู†ุญู†ู‰ ุฃู†ุง ุฅูŠุด ุจ... ุจ... ุจุนู…ู„ู‡
2926
+
2927
+ 908
2928
+ 01:28:45,640 --> 01:28:50,180
2929
+ incrementation ูˆ ุจุฌู…ุนู‡ุงุŒ ุงู„ numerical ุจุงุณุชุฎุฏุงู…
2930
+
2931
+ 909
2932
+ 01:28:50,180 --> 01:28:56,020
2933
+ ุงู„ูƒู…ุจูŠูˆุชุฑุŒ ู†ุดูˆู examplesุŒ what is the area under the
2934
+
2935
+ 910
2936
+ 01:28:56,020 --> 01:29:00,520
2937
+ curve between z equal ู†ุงู‚ุตุŒ ุจุฏู‡ ุงู„ area ุชุญุช ุงู„ู…ู†ุญู†ู‰
2938
+
2939
+ 911
2940
+ 01:29:00,520 --> 01:29:04,460
2941
+ ุจูŠู† z ุจุงู„ุณุงูˆูŠุฉ ู†ุงู‚ุต one point four three ูˆ z
2942
+
2943
+ 912
2944
+ 01:29:04,460 --> 01:29:06,220
2945
+ ุจุงู„ุณูˆุงุก one point four three
2946
+
2947
+ 913
2948
+ 01:29:10,820 --> 01:29:17,160
2949
+ ู†ุฑุฌุนุŒ ูˆุงุถุญ ุจุฏู‡ ุจูŠู† z ุจูŠู†
2950
+
2951
+ 914
2952
+ 01:29:17,160 --> 01:29:22,920
2953
+ ู†ุงู‚ุต ูˆุงุญุฏ point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ู„ูˆุงุญุฏ point ุฃุฑุจุนุฉ
2954
+
2955
+ 915
2956
+ 01:29:22,920 --> 01:29:29,180
2957
+ ุชู„ุงุชุฉุŒ ุฃูˆู„ ุดูŠ ุงู„ curve symmetricุŒ ุงู„ู…ุนู†ู‰ ุฃู†ู‡ ู…ุงููŠุด ุฏู‡
2958
+
2959
+ 916
2960
+ 01:29:29,180 --> 01:29:35,090
2961
+ ุขุฎุฐ ู…ู† ู†ุงู‚ุต one point four ู„ one point fourุŒ ู‡ุงุฎุฏ ู…ู†
2962
+
2963
+ 917
2964
+ 01:29:35,090 --> 01:29:40,650
2965
+ 0 ู„ 1.4 ุจุถุฑุจู‡ ููŠ ุงุชู†ูŠู†ุŒ ุจุฑูˆุญ ุนู„ู‰ ุงู„ table
2966
+
2967
+ 918
2968
+ 01:30:18,980 --> 01:30:38,520
2969
+ ุทูŠุจุŒ ุฎู„ูŠู†ูŠ ุฃุณูƒุชุŒ ูˆ ุฑูˆุญุช ุนู„ู‰ ูƒู‡ุฑุจุง ู…ุฑุฉ ุงู‡
2970
+
2971
+ 919
2972
+ 01:30:38,520 --> 01:30:41,060
2973
+ ู„ุญุธุฉ ููŠ ูƒุชุฑ ุฅุฐุง ูƒุงู†... ู„ุง ู…ุด ุตุญูŠุญ ู‡ุฐุง
2974
+
2975
+ 920
2976
+ 01:31:10,010 --> 01:31:14,490
2977
+ ุนู†ุฏ z one point ุฃุฑุจุนุฉ ุชู„ุงุชุฉุŒ ู‡ุงูŠ ุงู„ one point ุฃุฑุจุนุฉ
2978
+
2979
+ 921
2980
+ 01:31:14,490 --> 01:31:19,730
2981
+ ูƒูŠู ู‡ู…ุดูŠ ู‡ุงูŠ
2982
+
2983
+ 922
2984
+ 01:31:19,730 --> 01:31:24,870
2985
+ ุงู„ one point ุฃุฑุจุนุฉ ู‡ุงูŠ ุงู„... ุงู„... ุนู† ุงู„ decimal
2986
+
2987
+ 923
2988
+ 01:31:24,870 --> 01:31:34,090
2989
+ place ุงู„ุชุงู†ูŠุŒ ุชู„ุงุชุฉ ู‡ู…ุดูŠ ู‡ุชู…ุซู„
2990
+
2991
+ 924
2992
+ 01:31:34,090 --> 01:31:39,960
2993
+ ุงู„ area ู…ู† ุตูุฑ ู„ูˆุงุญุฏ point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ุงู„ู„ูŠ ูŠุชู…ุซู„
2994
+
2995
+ 925
2996
+ 01:31:39,960 --> 01:31:49,700
2997
+ ุงู„ area ุชูƒุงู…ู„ f of z dz ู…ู† ุตูุฑ ู„ ูˆุงุญุฏ point ุฃุฑุจุนุฉ
2998
+
2999
+ 926
3000
+ 01:31:49,700 --> 01:31:56,100
3001
+ ุชู„ุงุชุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ูƒู…ุŸ point ุฃุฑุจุนุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุณุชุฉ
3002
+
3003
+ 927
3004
+ 01:31:56,100 --> 01:31:58,680
3005
+ point ุฃุฑุจุนุฉ ุงุชู†ูŠู†
3006
+
3007
+ 928
3008
+ 01:32:04,350 --> 01:32:07,330
3009
+ ู…ู† ู†ุงู‚ุต one point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ู„ูˆ one point ุฃุฑุจุนุฉ
3010
+
3011
+ 929
3012
+ 01:32:07,330 --> 01:32:13,070
3013
+ ุชู„ุงุชุฉุŒ ุฅูŠุด ู‡ูŠูƒูˆู† ููŠ ุงุชู†ูŠู†ุŒ ู…ุนู†ุงู‡ ุงู„ุชูƒ๏ฟฝ๏ฟฝู…ู„ ู…ู† ู†ุงู‚ุต one
3014
+
3015
+ 930
3016
+ 01:32:13,070 --> 01:32:15,830
3017
+ point ุฃุฑุจุนุฉ ุฃูˆ ุงู„ area one point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ู„ one
3018
+
3019
+ 931
3020
+ 01:32:15,830 --> 01:32:20,750
3021
+ point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ู„ู„ F of Z ุงู„ DZ ู‡ุชูƒูˆู† point
3022
+
3023
+ 932
3024
+ 01:32:20,750 --> 01:32:28,410
3025
+ ุฃุฑุจุนุฉ ุงุชู†ูŠู† ุชู„ุงุชุฉ ุณุชุฉ ููŠ ุงุชู†ูŠู† ูŠุนู†ูŠ ุงุชู†ูŠู† ุณุจุนุฉ
3026
+
3027
+ 933
3028
+ 01:32:28,410 --> 01:32:31,290
3029
+ ุฃุฑุจุนุฉ ุชู…ุงู†ูŠุฉ
3030
+
3031
+ 934
3032
+ 01:32:34,320 --> 01:32:38,260
3033
+ ู…ู†ุนุชู‡ ุงู„ area under the curve ุจูŠู† z equal minus
3034
+
3035
+ 935
3036
+ 01:32:38,260 --> 01:32:41,040
3037
+ one point four three ูˆ one point four three ุนุจุงุฑุฉ
3038
+
3039
+ 936
3040
+ 01:32:41,040 --> 01:32:45,960
3041
+ ุนู† point ุชู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ุณุจุนุฉ ุงุชู†ูŠู†ุŒ what is the
3042
+
3043
+ 937
3044
+ 01:32:45,960 --> 01:32:50,300
3045
+ significance of this areaุŸ ุฅูŠุด ู…ุนู†ุงู‡ ุงู„ area ุฏูŠุŸ
3046
+
3047
+ 938
3048
+ 01:32:50,300 --> 01:33:01,020
3049
+ ุฅูŠุด ุชู…ุซู„ ู‡ุฐู‡ุŸ ุจุชุญูƒูŠ ุฃู†ู‡ ู‡ุฐู‡ ุงู„ probability ุฃู† z
3050
+
3051
+ 939
3052
+ 01:33:01,020 --> 01:33:12,600
3053
+ ุชูƒูˆู† ู‚ูŠู…ุชู‡ุง ุจูŠู† ุงู„ู€ -1.43 ูˆุงู„ู€ 1.43ุŒ ุงู„ู„ูŠ ู‡ูŠ 84.72%
3054
+
3055
+ 940
3056
+ 01:33:12,600 --> 01:33:22,480
3057
+ ูŠุนู†ูŠ ุงู„ probability ุฃู† ุงู„ู€ z ุชุชุบูŠุฑ ุจูŠู† ุงู„ู€ -1.43 to
3058
+
3059
+ 941
3060
+ 01:33:22,480 --> 01:33:34,060
3061
+ 1.43 ูˆุงู‚ุน ููŠ ุงู„ range ู‡ุฐุง ุจุชุณุงูˆูŠ 0.8472 ุฃูˆ ุฃุฑุจุนุฉ
3062
+
3063
+ 942
3064
+ 01:33:34,060 --> 01:33:40,280
3065
+ ูˆุชู…ุงู†ูŠู† point ุณุจุนุฉ ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ูŠุฉ ุฃู†
3066
+
3067
+ 943
3068
+ 01:33:40,280 --> 01:33:43,380
3069
+ ุฒุฏ ู‚ูŠู…ุชู‡ุง ุชุชุฑุงูˆุญ ุจูŠู† ู†ุงู‚ุต one point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ
3070
+
3071
+ 944
3072
+ 01:33:43,380 --> 01:33:46,700
3073
+ ูˆูˆุงุญุฏ point ุฃุฑุจุนุฉ ุชู„ุงุชุฉ ู‡ูŠ ุฃุฑุจุนุฉ ุชู…ุงู†ูŠู† point ุณุจุนุฉ
3074
+
3075
+ 945
3076
+ 01:33:46,700 --> 01:33:52,620
3077
+ ุงุชู†ูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ูˆุงุญุชู…ุงู„ูŠุฉ ุฃู†ู‡ ู…ุงุชูƒูˆู†ุด ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ูŠ
3078
+
3079
+ 946
3080
+ 01:33:52,620 --> 01:33:57,140
3081
+ ู…ูŠุฉ ู†ุงู‚ุต ุฃุฑุจุนุฉ ุชู…ุงู†ูŠู† ููŠ ุงู„ู…ูŠุฉุŒ ู‡ุงูŠ ุงู„ significance
3082
+
3083
+ 947
3084
+ 01:33:57,140 --> 01:33:59,300
3085
+ of this area
3086
+
3087
+ 948
3088
+ 01:34:04,820 --> 01:34:14,880
3089
+ ุณุคุงู„ ุซุงู†ูŠุŒ what range
3090
+
3091
+ 949
3092
+ 01:34:14,880 --> 01:34:25,640
3093
+ of X will contain 95% of the dataุŸ ุชุณุนูŠู†
3094
+
3095
+ 950
3096
+ 01:34:25,640 --> 01:34:30,320
3097
+ ููŠ ุงู„ู…ูŠุฉ ู…ู† ุงู„ุจูŠุงู†ุงุช
3098
+
3099
+ 951
3100
+ 01:34:32,650 --> 01:34:39,170
3101
+ ุฃู†ุง ู‡ุงูŠ ุงู„ functionุŒ ู‡ุงูŠ ุงู„ distributionุŒ ุชุณุนูŠู†
3102
+
3103
+ 952
3104
+ 01:34:39,170 --> 01:34:43,250
3105
+ ููŠ ุงู„ุจูŠุงู†ุงุช ูŠุนู†ูŠ ู‡ุชูƒูˆู† ููŠ ุงู„ range ู…ุนูŠู†ุŒ ูŠุนู†ูŠ ุงู„
3106
+
3107
+ 953
3108
+ 01:34:43,250 --> 01:34:48,490
3109
+ area ู‡ุฐู‡ุŒ ุงู„ area ู‡ุฐู‡ ูƒู…ุŸ ุงู„ area ุจุชุณุงูˆูŠ ุชุณุน ู…ู†
3110
+
3111
+ 954
3112
+ 01:34:48,490 --> 01:34:55,750
3113
+ ุนุดุฑุฉุŒ ู†ุตู‡ุง ูƒู…ุŸ ุงู„ู†ุต ุงู„ู„ูŠ ุนู„ู‰ ุงู„ูŠู…ูŠู† ู‡ุฐุง point ุฃุฑุจุนุฉ
3114
+
3115
+ 955
3116
+ 01:34:55,750 --> 01:35:02,050
3117
+ ุฎู…ุณุฉุŒ ู…ุนู†ุงู‡ ุฃุฎุด ุนู„ู‰ ุงู„ุฌุฏูˆู„ ู„ุฃู† ุจุฏูˆุฑ ุนู„ู‰ zุŒ ุฃุจุฏูˆุฑ
3118
+
3119
+ 956
3120
+ 01:35:02,050 --> 01:35:04,790
3121
+ ุนู„ู‰ ุงู„ areaุŒ ุฃู†ุง ุฃูˆ ู…ู† ุงู„ area ุจุนุฑู zุŒ ุจุฑุฌุน ูˆ
3122
+
3123
+ 957
3124
+ 01:35:04,790 --> 01:35:11,530
3125
+ ุฑุงุฌุนุŒ ุงุญู†ุง
3126
+
3127
+ 958
3128
+ 01:35:11,530 --> 01:35:15,710
3129
+ ุญูƒูŠู†ุง point ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ู‡ุงูŠ point ุฃุฑุจุนุฉ... ู‡ุงูŠ
3130
+
3131
+ 959
3132
+ 01:35:15,710 --> 01:35:20,370
3133
+ point ุฃุฑุจุนุฉุŒ ู„ุฃ
3134
+
3135
+ 960
3136
+ 01:35:20,370 --> 01:35:22,730
3137
+ ู„ุฃ ู„ุฃ ุฃู†ุง ุจุฏูŠ ู„ุฃ point ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ู‡ู†ุง ุงู„ area ู‡ู†ุง
3138
+
3139
+ 961
3140
+ 01:35:22,730 --> 01:35:29,190
3141
+ ุจู†ุทู„ุน ู‡ู†ุงุŒ ู‡ู†ุงุŒ ู‡ู†ุงุŒ ู†ู†ุฒู„ point ุฃุฑุจุนุฉุŒ ู‡ุงูŠ ุฃู†ุง ุฌุงูŠ ููŠ
3142
+
3143
+ 962
3144
+ 01:35:29,190 --> 01:35:36,270
3145
+ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุตุญุŸ ุฎู„ูŠู†ูŠ ุนุดุงู† ุฃุดูˆู ูƒู„ู‡ุŒ ุฃู†ุง ู‡ู†ุง ุฌุงูŠ
3146
+
3147
+ 963
3148
+ 01:35:36,270 --> 01:35:43,270
3149
+ ุฃู†ุง
3150
+
3151
+ 964
3152
+ 01:35:43,270 --> 01:35:52,290
3153
+ ุฌุงูŠ ู‡ู†ุงุŒ ุฌุงูŠ
3154
+
3155
+ 965
3156
+ 01:35:52,290 --> 01:35:55,910
3157
+ ุจูŠู† 1
3158
+
3159
+ 966
3160
+ 01:35:55,910 --> 01:36:09,320
3161
+ .964 ูˆ .965 ุตุญุŸ ูŠุนู†ูŠ ู‡ุชูƒูˆู† one point ุณุชุฉ
3162
+
3163
+ 967
3164
+ 01:36:09,320 --> 01:36:20,160
3165
+ ุงู„ z ู‡ุชุณุงูˆูŠ ูˆุงุญุฏ point ุณุชุฉ ุฃุฑุจุนุฉ
3166
+
3167
+ 968
3168
+ 01:36:20,160 --> 01:36:27,420
3169
+ ุฎู…ุณุฉ ุตุญุŸ ุฌุงูŠ ุจูŠู† ุงู„ุงุชู†ูŠู†ุŒ ุนู…ู„ุช interpolationุŒ ุฌุงูŠ ููŠ
3170
+
3171
+ 969
3172
+ 01:36:27,420 --> 01:36:33,160
3173
+ ุงู„ู†ุต ุจุงู„ุธุจุทุŒ ุฃู†ุง ุนู†ุฏูŠ ู‡ูŠู† ู‡ุฐู‡ ูˆุงุญุฏ point ุณุชุฉ ุฃุฑุจุนุฉ ูˆ
3174
+
3175
+ 970
3176
+ 01:36:33,160 --> 01:36:38,540
3177
+ ู‡ุฐู‡ ูˆุงุญุฏ point ุณุชุฉ ุฎู…ุณุฉุŒ ูˆุงุญุฏ
3178
+
3179
+ 971
3180
+ 01:36:38,540 --> 01:36:46,140
3181
+ point ุณุชุฉ ุฃูˆ ุฌุงูŠุฉ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ูŠ point ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ูˆ
3182
+
3183
+ 972
3184
+ 01:36:46,140 --> 01:36:53,460
3185
+ point ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ูˆุฃู†ุง ุฌุงูŠุฉ ุงู„ bid ุงู„ู„ูŠ ุจูŠู†ู‡ู… ุตุญุŸ
3186
+
3187
+ 973
3188
+ 01:36:53,460 --> 01:36:58,470
3189
+ ูŠุนู†ูŠ ุงู„ point ุฃุฑุจุนุฉ ุฃุฑุจุนุฉุŒ ุฎู„ูŠู†ุง ู†ูˆุถุญ ุฃูƒุชุฑุŒ ุงู„ูˆุงุญุฏ point
3190
+
3191
+ 974
3192
+ 01:36:58,470 --> 01:37:08,050
3193
+ ุณุชุฉุŒ ูˆุงุญุฏ point ุณุชุฉ ุฃุฑุจุนุฉ ูˆู‡ูŠ Z ูˆู‡ูŠ ุงู„ area ุงู„ูˆุงุญุฏ
3194
+
3195
+ 975
3196
+ 01:37:08,050 --> 01:37:16,190
3197
+ point ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ู…ู‚ุงุจู„ู‡ุง area point ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ
3198
+
3199
+ 976
3200
+ 01:37:16,190 --> 01:37:28,720
3201
+ ุชุณุนุฉ ุฎู…ุณุฉุŒ ูˆุงู„ Z ุงู„ู…ู‚ุงุจู„ู‡ุง point ุฃุฑุจุนุฉ ุฎู…ุณุฉ ุตูุฑ ุฎู…ุณุฉ
3202
+
3203
+ 977
3204
+ 01:37:28,720 --> 01:37:34,340
3205
+ ุงู„ู„ูŠ ูˆุงุญุฏ point ุฃุฑุจุนุฉุŒ ูˆุงุญุฏ point ุณุชุฉ ุฃุฑุจุนุฉุŒ ูˆุงุญุฏ
3206
+
3207
+ 978
3208
+ 01:37:34,340 --> 01:37:41,680
3209
+ point ุณุชุฉ ุฅูŠุดุŸ ๏ฟฝ๏ฟฝู…ุณุฉุŒ ุฃู†ุง ุงู„ู„ูŠ ุนู†ุฏูŠ ู‡ู†ุง ุงู„ู„ูŠ
3210
+
3211
+ 979
3212
+ 01:37:41,680 --> 01:37:46,320
3213
+ ู‡ูŠ point
3214
+
3215
+ 980
3216
+ 01:37:46,320 --> 01:37:52,880
3217
+ ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ุงุญู†ุง ู„ุญุธุฉุŒ ุงู„ุญุตุฉุŒ ุงุญู†ุง ู‡ู†ุง ุฌุงูŠุฉ ููŠ ุงู„ู†ุต
3218
+
3219
+ 981
3220
+ 01:37:52,880 --> 01:37:59,840
3221
+ ุจูŠู† ุงู„ุงุชู†ูŠู†ุŒ ู…ุนู†ุงู‡ ู‡ุฐุง ู‡ุชูƒูˆู† ุงู„ Average ุฏู„ูˆู‚ุชูŠ 1.64
3222
+
3223
+ 982
3224
+ 01:37:59,840 --> 01:38:06,880
3225
+ ุฒูŠ 1.65 ุนู„ู‰ 2ุŒ ู‡ุชุทู„ุน 1.645
3226
+
3227
+ 983
3228
+ 01:38:06,880 --> 01:38:23,660
3229
+ ู…ู†ู‡ุง ุชู‡
3230
+
3231
+ 984
3232
+ 01:38:23,660 --> 01:38:26,980
3233
+ ุงู„ range ุงู„ู„ูŠ ู‡ูŠุทู„ุน 90% ู…ู† ุงู„ุจูŠุงู†ุงุช ู‡ูŠ ุทู„ุนุฉ ูˆุงุญุฏุฉ
3234
+
3235
+ 985
3236
+ 01:38:26,980 --> 01:38:33,320
3237
+ ุจูŠู† ุงู„ู„ูŠ ู‡ูŠ z 1
3238
+
3239
+ 986
3240
+ 01:38:33,320 --> 01:38:46,080
3241
+ .645ุŒ ู†ุฑุฌุน ู„ุฌุฏูˆู„ ุงู„ู€
3242
+
3243
+ 987
3244
+ 01:38:46,080 --> 01:38:55,120
3245
+ z ู‡ุชูƒูˆู† ุชุชุฑุงูˆุญ ุจูŠู† minus 1.645
3246
+
3247
+ 988
3248
+ 01:38:57,130 --> 01:39:01,250
3249
+ ู„ู€ 1.645
3250
+
3251
+ 989
3252
+ 01:39:01,250 --> 01:39:19,750
3253
+ ูˆ ุงู„ู€ Z ุดูˆ ูŠุณุงูˆูŠุŸ X minus Mu ุนู„ู‰ SigmaุŒ ูŠุนู†ูŠ
3254
+
3255
+ 990
3256
+ 01:39:27,130 --> 01:39:35,570
3257
+ ู‡ุชูƒูˆู† ู†ุฒู„ ุจูŠู† minus 1.645 ูˆ 1.645ุŒ ุงุญู†ุง ุงู„ miu ู…ุด
3258
+
3259
+ 991
3260
+ 01:39:35,570 --> 01:39:42,090
3261
+ ุนุงุฑููŠู†ู‡ุงุŒ ุงู„ miu ุฃู†ุช... ู„ุงุŒ ุฃูŠ ู†ุนู…ุŒ ุงู‡ ุจุงู„ุธุจุท ูŠุนู†ูŠ ู‡ุชุธู„
3262
+
3263
+ 992
3264
+ 01:39:42,090 --> 01:39:46,190
3265
+ ุงู„ miu ู…ุฌู‡ูˆู„ุŒ ูŠุนู†ูŠ ุญุทู‡ ู…ุน ุงู„ sigma ูŠุนู†ูŠ ู‡ุชุฑุฌุญ ู„ู„ x
3266
+
3267
+ 993
3268
+ 01:39:46,190 --> 01:39:48,830
3269
+ range of valuesุŒ ุทูŠุจ
3270
+
3271
+ 994
3272
+ 01:39:57,960 --> 01:40:04,060
3273
+ ุงู„... ุงู„ูŠูˆู… ู†ุณุชูƒููŠุŒ
3274
+
3275
+ 995
3276
+ 01:40:04,060 --> 01:40:07,400
3277
+ ู…ุนู†ุงุชู‡ ุณุงุจุชุŒ ุจู†ูƒู…ู„ ุงู„ู„ูŠ ู‡ูŠ theory based on the
3278
+
3279
+ 996
3280
+ 01:40:07,400 --> 01:40:09,960
3281
+ sampleุŒ ุดูƒุฑุง ุฌุฒูŠู„ุงุŒ ุนููˆุงู‹
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/TtLL-DK1U-Q_raw.srt ADDED
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PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/f-YBvrJmYFU_raw.json ADDED
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PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/f-YBvrJmYFU_raw.srt ADDED
@@ -0,0 +1,2924 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
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,480 --> 00:00:07,860
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:07,860 --> 00:00:11,460
7
+ ูˆุจุฑูƒุงุชู‡ุŒ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ ุงู„ chapter four, major and
8
+
9
+ 3
10
+ 00:00:11,460 --> 00:00:16,620
11
+ octasiaุŒ ู‚ูŠุงุณ ุงูŠู‡ุŸ ุงู„ุถุบุทู†ุนู…ู„ ู…ุฑุงุฌุนุฉ ุณุฑูŠุนุฉ ุนู„ู‰
12
+
13
+ 4
14
+ 00:00:16,620 --> 00:00:21,000
15
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุณุงุจู‚ุฉ ุนุฑูู†ุง ุงู„ pressure ู‡ูˆ ุงู„ู‚ูˆุฉ
16
+
17
+ 5
18
+ 00:00:21,000 --> 00:00:24,560
19
+ ุงู„ุนู…ูˆุฏูŠุฉ ุงู„ู…ุคุซุฑุฉ ุนู„ู‰ ุณุทุญ ูŠุนู†ูŠ ุงู„ู‚ูˆุฉ ุงู„ุนู…ูˆุฏูŠุฉ ู„ูƒู„
20
+
21
+ 6
22
+ 00:00:24,560 --> 00:00:28,740
23
+ ู…ุณุงุญุฉ ุงู„ูˆุญุฏุงุช ุงู„ุฑุฆูŠุณูŠุฉ ุงู„ bascule ูˆ ุงู„ pound per
24
+
25
+ 7
26
+ 00:00:28,740 --> 00:00:32,380
27
+ square inch ุนุฑูู†ุง ุงู„ gauge pressure ูˆ ุงู„ absolute
28
+
29
+ 8
30
+ 00:00:32,380 --> 00:00:36,420
31
+ pressure ุงู„ gauge pressure ู‡ูˆ ุงู„ูุฑู‚ ุจูŠู† ุงู„ุถุบุท ุชุญุช
32
+
33
+ 9
34
+ 00:00:36,420 --> 00:00:39,400
35
+ ุงู„ุฏุฑุงุณุฉ ู†ุงู‚ุต ุถุบุท ุงู„ุฌูˆ
36
+
37
+ 10
38
+ 00:00:42,840 --> 00:00:46,500
39
+ ุงู„ุถุบุท ุงู„ุฌูˆุงู„ ุงู„ู…ุนูŠุงุฑูŠ ู…ูŠุฉ ูˆุงุญุฏ ุงู„ู ุชู„ุช ู…ูŠุฉ ุฎู…ุณูŠู†
40
+
41
+ 11
42
+ 00:00:46,500 --> 00:00:50,140
43
+ ุนุดูˆุงุฆูŠู† ุจุงุณูƒุงู„ ุงูˆ ุงุฑุจุน ุชุงุดุจูˆู† ุณุชุฉ ุชุณุนุฉ ุณุชุฉ pound
44
+
45
+ 12
46
+ 00:00:50,140 --> 00:00:54,160
47
+ per square inch absolute ุงูˆ ู…ุง ูŠุนุงุฏู„ ุทูˆู„ ุนู…ูˆุฏ ู…ู†
48
+
49
+ 13
50
+ 00:00:54,160 --> 00:00:59,340
51
+ ุงู„ุฐุฆุจู‚ ุณุจุนู…ูŠุฉ ูˆุณุชูŠู† ู…ูŠู„ูŠ ู…ุชุฑ ุดูู†ุง ุฌุฏูˆู„ ูˆุงุญุฏ ุงู„ู„ูŠ
52
+
53
+ 14
54
+ 00:00:59,340 --> 00:01:05,680
55
+ ู‡ูŠ ุงู„ุชุญูˆู„ุงุช ุจูŠู† ุงู„ุจุณูƒุงู„ ูˆุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู‚ูŠุงุณ
56
+
57
+ 15
58
+ 00:01:05,680 --> 00:01:10,230
59
+ ุงู„ุถุบุทุฃุนุฑูู†ุง ุงู„ aesthetic pressure ู‡ูˆ ุงู„ .. ุงู„ ..
60
+
61
+ 16
62
+ 00:01:10,230 --> 00:01:14,970
63
+ ุงู„ pressure filled by fluid at rest ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท
64
+
65
+ 17
66
+ 00:01:14,970 --> 00:01:18,690
67
+ ุงู„ู…ู‚ูŠุตู‡ ู„ู…ุง ู†ูƒูˆู† ุงู„ .. ุงู„ .. ุงู„ fluid ุงู„ู„ูŠ ู‡ูˆ ุณูˆุงุก
68
+
69
+ 18
70
+ 00:01:18,690 --> 00:01:23,050
71
+ ูƒุงู† ุณุงุฆู„ ุงูˆ ุบุงุฒ ููŠ ุญุงู„ ุงู„ุณูƒูˆู† ุงูˆ ุงุฐุง ุงู†ุง ูƒู†ุช ู…ุงุดูŠ
72
+
73
+ 19
74
+ 00:01:23,050 --> 00:01:26,270
75
+ ู…ุน ุงู„ fluid ุจู†ูุณ ุณุฑุนุชู‡ ุงุฐุง ููŠ ุงู†ุจูˆุจ ู…ุงุดูŠ ุจู†ูุณ
76
+
77
+ 20
78
+ 00:01:26,270 --> 00:01:31,990
79
+ ุณุฑุนุชู‡ ุจู‚ูŠุณ aesthetic pressure ุงู„ total pressure ุงู„
80
+
81
+ 21
82
+ 00:01:31,990 --> 00:01:36,400
83
+ ..ุฃูˆ ุงู„ dynamic pressure ู‡ูˆ ุงู„ pressure ุงู„ู†ุงุชุฌ ุนู†
84
+
85
+ 22
86
+ 00:01:36,400 --> 00:01:39,380
87
+ ุงู„ kinetic energy ู„ู„ fluid ุฅุฐุง ูƒุงู† ู…ุชุญุฑูƒ ู…ุนุทูˆู„
88
+
89
+ 23
90
+ 00:01:39,380 --> 00:01:44,460
91
+ ู„ู„ุฃู‚ู„ ู‡ูŠ ู†ุต Q ู†ุต Q ุณูˆุงุก ู†ุต ุฑูˆ ุจูŠ ุณูƒูˆูŠุฑ ูˆ ุงู„ total
92
+
93
+ 24
94
+ 00:01:44,460 --> 00:01:46,480
95
+ pressure ู‡ูˆ ุงู„ู…ุฌู…ูˆุน ุงู„ static pressure ูˆ ุงู„
96
+
97
+ 25
98
+ 00:01:46,480 --> 00:01:53,380
99
+ dynamic pressure ู‡ูˆ ุงู„ forceper unit area ุงู„ู„ูŠ ุงู†ุง
100
+
101
+ 26
102
+ 00:01:53,380 --> 00:01:55,860
103
+ ุจุญุณ ููŠู‡ ู„ู…ุง ุงู†ุง ุงุนู…ู„ ุงูŠ ู‚ุนู ู„ู„ fluid ูŠุนู†ูŠ ุงู„ fluid
104
+
105
+ 27
106
+ 00:01:55,860 --> 00:02:00,360
107
+ ู…ุชุญุฑูƒ ุจุนู…ู„ู‡ ุงูŠ ู‚ุนู ู‡ุฐุง ู‡ูˆ ุงู„ total pressure ูŠุฌุจ
108
+
109
+ 28
110
+ 00:02:00,360 --> 00:02:06,860
111
+ ู…ู†ู‡ static ูˆูŠุฌุจ ู…ู†ู‡ dynamic ู„ู‚ูŠุงุณ ุงู„ total
112
+
113
+ 29
114
+ 00:02:06,860 --> 00:02:11,100
115
+ pressure ูˆ ุงู„ static pressure ุจู†ุณุชุฎุฏู… ู…ุง ูŠุณู…ู‰ ุงู„
116
+
117
+ 30
118
+ 00:02:11,100 --> 00:02:14,560
119
+ P2T tube ุดุฑุญู†ุง ุงูŠุด ุทุฑูŠู‚ุฉ ุนู…ู„ู‡ุง
120
+
121
+ 31
122
+ 00:02:18,320 --> 00:02:20,800
123
+ ุงู„ู€ static ูˆ ุงู„ dynamic pressure ู„ุญุธุฉ ุงู„ static
124
+
125
+ 32
126
+ 00:02:20,800 --> 00:02:24,320
127
+ pressure ุนู†ุฏ ุญุงุฌุฉ ุงู„ูู„ูˆุฏ ุจูŠูƒูˆู† ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„ูู„ูˆุฏ
128
+
129
+ 33
130
+ 00:02:24,320 --> 00:02:29,040
131
+ ุนู†ุฏ ุฌุฏุฑุงู† ุจุชูƒูˆู† ุณุฑุนุฉ ุงู„ูู„ูˆุฏ zero ูˆ ุงู„ุชุงู„ูŠ ุฅุฐุง ุฃุฎุฏุช
132
+
133
+ 34
134
+ 00:02:29,040 --> 00:02:32,500
135
+ ุงู„ู†ุจูˆุจ ู…ู† ู‡ู†ุง ุจุงุฎุฏ ุงู„ static pressure ูุฅุฐุง ูƒู†ุง
136
+
137
+ 35
138
+ 00:02:32,500 --> 00:02:35,960
139
+ ุนู†ุฏู†ุง ู‡ู†ุง manometer ุงู„ head ู‡ุฐุง ูŠู…ุซู„ ุงู„ static
140
+
141
+ 36
142
+ 00:02:35,960 --> 00:02:39,720
143
+ pressure ู„ูƒู† ู„ูˆ ุญุทูŠุช ุงู„ู†ุจูˆุจ ู…ู† ุงู„ู†ุต ู‡ุฐุง ู‡ุชุนุทูŠู†ูŠ
144
+
145
+ 37
146
+ 00:02:39,720 --> 00:02:45,350
147
+ ุฅูŠุดุงู„ู€ total pressure ุงู„ู„ูŠ ู‡ูˆ static ุฒุงุฆุฏ dynamic
148
+
149
+ 38
150
+ 00:02:45,350 --> 00:02:47,730
151
+ ูู‡ุฐุง ูŠูƒูˆู† ุงู„ total pressure ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู†
152
+
153
+ 39
154
+ 00:02:47,730 --> 00:02:55,290
155
+ static pressure ุฒุงุฆุฏ dynamic pressure ุทุจุนุง
156
+
157
+ 40
158
+ 00:02:55,290 --> 00:03:02,090
159
+ ุนู…ู„ูŠุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุชุชุถู…ู† ุชุญูˆูŠู„ ุงู„ุถุบุท ู„ู‚ูˆุฉ ูˆู…ู† ุซู…
160
+
161
+ 41
162
+ 00:03:02,090 --> 00:03:07,470
163
+ ู‚ูŠุงุณ ุงู„ู‚ูˆุฉ ูŠุนู†ูŠ ุจุญูˆู„ ุงู„ุถุบุท ู„ force ูˆ ุจุนุฏูŠู† ุจู‚ูŠุณ ุงู„
164
+
165
+ 42
166
+ 00:03:07,470 --> 00:03:07,850
167
+ force
168
+
169
+ 43
170
+ 00:03:10,500 --> 00:03:15,660
171
+ ุงู„ force measurement ู…ู…ูƒู† ุชูƒูˆู† ู‚ูŠุงุณ ู…ุจุงุดุฑ ุงูˆ ู‚ูŠุงุณ
172
+
173
+ 44
174
+ 00:03:15,660 --> 00:03:20,220
175
+ ุบูŠุฑ ู…ุจุงุดุฑ ุงู„ direct measurement ุงู†ู‡ ุจู‚ุงุฑู† ุงู„ force
176
+
177
+ 45
178
+ 00:03:20,220 --> 00:03:27,380
179
+ ู…ุน weight of some object ุงูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ liquid ุงู„
180
+
181
+ 46
182
+ 00:03:27,380 --> 00:03:32,420
183
+ indirect force ุจุงู„ุณูŠุฑู†ุฏูŠ ุงู„ force ู…ู…ูƒู† ุชุนู…ู„ูŠ
184
+
185
+ 47
186
+ 00:03:32,420 --> 00:03:36,680
187
+ deflection ู…ู…ูƒู† ุงู‚ูŠุณ mechanical ุงู‚ูŠุณ ุงู„ deflection
188
+
189
+ 48
190
+ 00:03:36,680 --> 00:03:42,000
191
+ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูƒูŠุฉ mechanicalุฃูˆ ุงู„ deflection ุฃุฑูƒุจ
192
+
193
+ 49
194
+ 00:03:42,000 --> 00:03:47,450
195
+ stringageุŒ stringage ูŠุนู†ูŠ resistanceุงู„ู‚ูŠู…ุฉ ุงู„
196
+
197
+ 50
198
+ 00:03:47,450 --> 00:03:53,090
199
+ resistance ุชุชุบูŠุฑ ู…ุน ุงู„ deflection ูุจุญุงูˆู„ ู„ signal
200
+
201
+ 51
202
+ 00:03:53,090 --> 00:03:57,090
203
+ electrical signal that is measurable ู…ู† ุฎู„ุงู„ ู…ุง
204
+
205
+ 52
206
+ 00:03:57,090 --> 00:04:00,190
207
+ ุนุฑูุช ุงู„ู„ูŠ ู„ู‚ู‰ ุจูŠู† ุงู„ุชุบูŠุฑ ููŠ ุงู„ electrical property
208
+
209
+ 53
210
+ 00:04:00,190 --> 00:04:03,390
211
+ ู…ุน ุงู„ deflection ูˆุงู„ deflection ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
212
+
213
+ 54
214
+ 00:04:03,390 --> 00:04:06,270
215
+ pressure ุงูˆ ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„ force ุงู„ force ุงู„ู„ูŠ ู„ู‚ู‰ ุงู„
216
+
217
+ 55
218
+ 00:04:06,270 --> 00:04:09,330
219
+ pressure ู…ู…ูƒู† ุงุญุณุจ ุงูˆ ุงู‚ูŠุณ ุงู„ุถุบุท
220
+
221
+ 56
222
+ 00:04:13,550 --> 00:04:17,610
223
+ ุญูƒูŠ ู‡ู†ุง ุงู„ู…ุฑูู‚ุฉ ุนู„ู‰ ุงู„ dead weight center ุงู„ dead
224
+
225
+ 57
226
+ 00:04:17,610 --> 00:04:23,750
227
+ weight center ุจูŠูƒูˆู† ุนู†ุฏู‰ .. ุนู†ุฏู‰ ู‡ู†ุง ููŠู‡ fluid ุฒูŠุช
228
+
229
+ 58
230
+ 00:04:23,750 --> 00:04:30,190
231
+ ูˆ ุจูŠูƒูˆู† ุนู†ุฏู‰ ู‡ู†ุง weight ูˆ ุนู†ุฏู‰ piston ุงู„ weight
232
+
233
+ 59
234
+ 00:04:30,190 --> 00:04:33,190
235
+ ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† force ุนู„ู‰ ู…ุณุงุญุฉ ุงู„ piston
236
+
237
+ 60
238
+ 00:04:33,190 --> 00:04:38,110
239
+ ุชุนุทูŠู†ูŠุงุด ุถุบุท pressure ู„ุฃู† ู‡ู†ุง ุงู„ุฌู‡ุงุฒ ุงู„ู„ู‰ ุงู†ุง ุจุฏูŠ
240
+
241
+ 61
242
+ 00:04:38,110 --> 00:04:42,140
243
+ ุงุนู…ู„ู‡ calibration ุงูˆ ู…ุนุงูŠุฑุฉู‡ูˆ ุฌู‡ุงุฒ ุจุบุถ ุงู„ู†ุธุฑ ุงูŠุด
244
+
245
+ 62
246
+ 00:04:42,140 --> 00:04:47,240
247
+ ู‡ูˆ ุงู„ุฌู‡ุงุฒ ุงูˆ ุทุฑูŠู‚ุฉ ู‚ูŠุงุณู‡ ู‡ูŠุนุทูŠู†ูŠ ู‚ุฑุงุกุฉ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ
248
+
249
+ 63
250
+ 00:04:47,240 --> 00:04:56,420
251
+ ุงูŠุด ู„ู„ู…ู‚ุงุฑู†ุฉ ุจุนู…ู„ calibration ุงู„
252
+
253
+ 64
254
+ 00:04:56,420 --> 00:05:00,640
255
+ manometer ุงู„ manometer ุงู„ู„ูŠ ุญูƒูŠู†ุงู‡ ู‡ูˆ device ู„ู‚ูŠุงุณ
256
+
257
+ 65
258
+ 00:05:00,640 --> 00:05:05,120
259
+ ุงู„ุถุบุท ุงู„ุงู† ุจูŠูƒูˆู† ุนู†ุฏูŠ ุงู†ุจูˆุจ ุนู„ู‰ ุดูƒู„ ุญุฑููŠู‡
260
+
261
+ 66
262
+ 00:05:07,600 --> 00:05:12,020
263
+ ุนู†ุฏูŠ pressure to be measured ู‡ูŠ ู…ุฏุฎู„ ุงู„ุถุบุท ุงู„ุบุงุฒ
264
+
265
+ 67
266
+ 00:05:12,020 --> 00:05:19,080
267
+ ุงู„ู„ู‰ ุจุฏู‡ ุงู‚ูŠุณ ุถุบุทู‡ ู„ุงู† ู„ู…ุง ุชูƒูˆู† ุงู„ุถุบุท ู‡ูŠู†ุฒู„ ุงู„
268
+
269
+ 68
270
+ 00:05:19,080 --> 00:05:25,420
271
+ liquid ูˆ ูŠุทู„ุน ู„ุฃุนู„ู‰ ุงู„ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠู…ุซู„ ุงู„ุถุบุท
272
+
273
+ 69
274
+ 00:05:25,420 --> 00:05:30,470
275
+ ุงู„ gauge pressureุงู„ู„ูŠ ู‡ูˆ ุฌุงู…ุนุฉ ููŠ H ููŠ H ุงูˆ ุฑูˆู‡ ุฌูŠ
276
+
277
+ 70
278
+ 00:05:30,470 --> 00:05:36,390
279
+ ููŠ H ุงู„ุฑูˆู‡ ุงู„ุฌูŠ ุงูŠ ุงู„ุฑูˆู‡ ุงู„ู„ูŠ ู‡ูŠ ูƒุซุงูุฉ ุงู„ุณุงุฆู„ ุงู„ุฌูŠ
280
+
281
+ 71
282
+ 00:05:36,390 --> 00:05:42,450
283
+ ู‡ูŠ ุงู„ gravity ุงู„ู„ูŠ ู‡ูŠ 9.806 ูˆ ุงู„ H ุงุฑุชูุงุน ุงู„ุนู…ูˆุฏ
284
+
285
+ 72
286
+ 00:05:42,450 --> 00:05:46,230
287
+ ุนู…ูˆุฏูŠ ุงู„ liquidุงู„ู€ typical liquid ุงู„ู…ุณุชุฎุฏู… ุนุงุฏุฉ
288
+
289
+ 73
290
+ 00:05:46,230 --> 00:05:50,610
291
+ ุงู„ุฒุฆุจู‚ ู„ุฃู† ูƒุซุงูุฉ ุงู„ุฒุฆุจู‚ ุญูˆุงู„ูŠ ุฃุฑุจุน ุชุงุดุฑ ุถุนู ูƒุซุงูุฉ
292
+
293
+ 74
294
+ 00:05:50,610 --> 00:05:56,150
295
+ ุงู„ู…ูŠู‡ ูˆุจุงู„ุชุงู„ูŠ ู…ุด ู…ุญุชุงุฌ ูŠูƒูˆู† ุงู„ุฑุชูุงุน ุงู„ H ูƒุชูŠุฑ
296
+
297
+ 75
298
+ 00:05:56,150 --> 00:05:59,470
299
+ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„ู…ูŠู‡ ุฑุชูุงุน ุนู…ูˆุฏ ุงู„ู…ูŠู‡ ุฃุฑุจุน ุชุงุดุฑ ุถุนู
300
+
301
+ 76
302
+ 00:06:00,480 --> 00:06:05,180
303
+ ุงู„ุงู† ู„ูˆ ุงู†ุง ุจุฏูŠ ุงู‚ูŠุต ุถุบุท ู…ู†ุฎูุถ ุจุญุท liquid ุฎููŠู
304
+
305
+ 77
306
+ 00:06:05,180 --> 00:06:10,520
307
+ ูƒุชุงูุชู‡ ู‚ู„ูŠู„ ุนุดุงู† ุชุดุชุฑ ุฃุตุบุฑ ุชุบูŠูŠุฑ ููŠ ุงู„ pressure
308
+
309
+ 78
310
+ 00:06:10,520 --> 00:06:19,920
311
+ ู„ูƒู† ู„ูˆ ูƒุงู† ุถุบุท ู…ุฑุชูุน ููุถู„ ุงุณุชุฎุฏู… ุฒุฆุจู‚ ุทุจุนุง
312
+
313
+ 79
314
+ 00:06:19,920 --> 00:06:26,120
315
+ ุงู„ manometer ุงู„ู„ูŠ ู…ู† ู…ุฒุงูŠุงู‡ ุงู† ู‡ูˆ ุณู‡ู„ ูˆุฑุฎูŠุต ูˆ
316
+
317
+ 80
318
+ 00:06:26,120 --> 00:06:28,940
319
+ ุชู‚ุฑูŠุจุง ุงู„ error ููŠู‡ ู…ู†ุฎูุถ
320
+
321
+ 81
322
+ 00:06:31,330 --> 00:06:35,670
323
+ ุงู„ disadvantage ุงู„ู„ู‰ ู‡ูˆ poor dynamic response ุฅุฐุง
324
+
325
+ 82
326
+ 00:06:35,670 --> 00:06:41,370
327
+ ูƒุงู† ุถุบุท ุงู„ู…ุตุฏุฑ ุจุชุบูŠุฑ ุจุดูƒู„ ุณุฑูŠุน ุงู„ุงุณุชุฌุงุจุฉ ุจุชุงุนุชู‡
328
+
329
+ 83
330
+ 00:06:41,370 --> 00:06:47,970
331
+ ุจุชูƒูˆู†ุด ุณุฑูŠุนุฉ ุทุจุนุง ูˆ not practical ู„ู‚ูŠุงุณ ุถุบูˆุท
332
+
333
+ 84
334
+ 00:06:47,970 --> 00:06:52,830
335
+ ู…ุฑุชูุนุฉ ุฅุฐุง ูƒุงู† ุถุบุท ุฃุนู„ู‰ ู…ู† 200 ูƒูŠู„ูˆ ุจุงุณูƒุงู„ ูŠุนู†ูŠ ู…ุด
336
+
337
+ 85
338
+ 00:06:52,830 --> 00:06:58,290
339
+ ู…ู†ุงุณุจ ุจุฏูƒ ุชุดูˆู ุฌู‡ุงุฒ ุจุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉุงู„ุชุนุฑูู†ุง ุนู„ู‰ ุงู„
340
+
341
+ 86
342
+ 00:06:58,290 --> 00:07:00,910
343
+ will type manometer will type ุจูŠูƒูˆู† ุนู†ุฏูŠ ู‡ู†ุง
344
+
345
+ 87
346
+ 00:07:00,910 --> 00:07:05,610
347
+ container ููŠู‡ liquid ู‡ุฐุง ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุณู‡
348
+
349
+ 88
350
+ 00:07:05,610 --> 00:07:10,490
351
+ ู„ู…ุง ุงุถุบุท ู‡ู†ุง ุจุฑุชูุน ุงู„ุนู…ูˆุฏ ุทุจุนุง ุงู†ุง ุนู†ุฏ ุงู„
352
+
353
+ 89
354
+ 00:07:10,490 --> 00:07:15,350
355
+ reference ุงู„ reference ุงูŠู‡ ู‡ุงูŠ ุงู„ reference ุซุงุจุช
356
+
357
+ 90
358
+ 00:07:15,350 --> 00:07:18,710
359
+ ู„ูƒู† ู„ุงู† ุงู„ cross section ุงู„ู„ูŠ ุจุชุงุนุฉ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
360
+
361
+ 91
362
+ 00:07:18,710 --> 00:07:25,390
363
+ ุงุนู„ู‰ ุจูƒุชูŠุฑ ู…ู† ู‡ุฐู‡ุงู„ู€ X ู‡ุฐู‡ ู…ู…ูƒู† ู†ุนุชุจุฑู‡ุง
364
+
365
+ 92
366
+ 00:07:25,390 --> 00:07:35,190
367
+ insignificant ู„ูŠุณุช ุฐุงุช ู‚ูŠู…ุฉ ุทูŠุจ
368
+
369
+ 93
370
+ 00:07:35,190 --> 00:07:41,370
371
+ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง ููŠ ู†ูˆุน ุชุงู†ูŠ ุงุณู…ู‡ burden tube gauge
372
+
373
+ 94
374
+ 00:07:41,370 --> 00:07:46,350
375
+ burden tube gauge ุงู„ burden tube gauge ุจูŠุดุชุบู„
376
+
377
+ 95
378
+ 00:07:46,350 --> 00:07:52,930
379
+ ุจุงู„ุทุฑูŠู‚ุฉ ุงู„ุชุงู„ูŠุฉ ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ ู‡ุงุฏุฆ ุงู†ุจูˆุจู…ุณูƒุฑุฉ
380
+
381
+ 96
382
+ 00:07:52,930 --> 00:07:57,370
383
+ ูŠุนู†ูŠ ู‡ู†ุง ุงู„ุถุบุท ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุต ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ุงู„ุบุงุฒ ุงูˆ
384
+
385
+ 97
386
+ 00:07:57,370 --> 00:08:04,250
387
+ ุงู„ liquid ุจุฏุฎู„ู‡ ู…ู† ู‡ู†ุง ู‡ุงุฏ ุงู„ุงู†ุจูˆุจ ู…ุด ุฏุงุฆุฑุฉ ูƒุงู…ู„ุฉ
388
+
389
+ 98
390
+ 00:08:04,250 --> 00:08:08,050
391
+ ุงู‚ู„ ู…ู† ุชู„ุงุช ู…ุฆูˆ ุณุชูŠู† ุฏุฑุฌุฉ ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ุง ุจูŠุถุงูˆูŠ
392
+
393
+ 99
394
+ 00:08:08,050 --> 00:08:12,750
395
+ ุงู„ู…ู‚ุทุน ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ ุนู…ู„ุช ู…ู‚ุทุน ู…ุณุชุนุฑุถ ุงู„ู…ู‚ุทุน ุจูŠุถุงูˆูŠ
396
+
397
+ 100
398
+ 00:08:12,750 --> 00:08:19,950
399
+ ู„ุงู† ู„ูˆ ู†ุฎุด fluid ู…ุถุบูˆุท ูŠุนู†ูŠ ุงุฐุง ุดูƒู„ ุจูŠุถุงูˆูŠ ู‡ุญุงูˆู„
400
+
401
+ 101
402
+ 00:08:19,950 --> 00:08:26,560
403
+ ุงูŠุดูŠุชุฏูˆุฑ ูŠุตูŠุฑ ูŠุงุด ู…ู‚ุทุน ุฏุงุฆุฑ ู†ุชูŠุฌุฉ ุงู„ deflection
404
+
405
+ 102
406
+ 00:08:26,560 --> 00:08:35,500
407
+ ุงู„ู„ู‰ ุชุชุญูˆู„ ู…ู† ู…ู‚ุทุน ุจูŠุถุงูˆ ู„ู…ู‚ุทุน ุฏุงุฆุฑ ุจูŠุตูŠุฑ ู„ู‡ ุญุฑูƒุฉ
408
+
409
+ 103
410
+ 00:08:35,500 --> 00:08:40,180
411
+ ูŠุตูŠุฑ ู‡ุฐู‡ ุจูŠุตูŠุฑ
412
+
413
+ 104
414
+ 00:08:40,180 --> 00:08:45,040
415
+ ุฒูŠ ู‡ูŠูƒ ุจุชุญุฑูƒ ุจูŠุญุงูˆู„
416
+
417
+ 105
418
+ 00:08:45,040 --> 00:08:51,810
419
+ ูŠุงุด ูŠุชุญุฑูƒ ุงู„ุขู† ุงู„ุทุฑู ุจุชุงุนู‡ ู…ูˆุตูˆู„ ุจ link ู‡ุฐู‡ linkูˆ
420
+
421
+ 106
422
+ 00:08:51,810 --> 00:08:54,930
423
+ ููŠุนู†ุฏูŠ ูƒู…ุงู† link ุชุงู†ูŠุฉ ู‡ุฐุง ุงู„ู…ุญูˆุฑ ุฅูŠู‡ ุฃุดู…ุงู„ู‡ ู‡ุฐุง
424
+
425
+ 107
426
+ 00:08:54,930 --> 00:08:58,590
427
+ ู…ุญูˆุฑ ุซุงุจุช
428
+
429
+ 108
430
+ 00:08:58,590 --> 00:09:04,490
431
+ ู‡ุฐุง ู‡ุญุงูˆู„ ูŠุชุญุฑูƒ ู„ู…ุง ูŠุชุญุฑูƒ ุงู„ุฏุฑุงุน ู‡ุฐุง ุจูŠุณุญุจ ูู‡ุฐุง
432
+
433
+ 109
434
+ 00:09:04,490 --> 00:09:12,490
435
+ ุฃุดู…ุงู„ู‡ ู‡ูŠู„ู ู„ู…ุง ู†ู„ู ุงู„ุชุฑุณ ู‡ุฐุง ูŠุชุญุฑูƒ ูู‡ุฐุง ุจูŠุชุญุฑูƒ
436
+
437
+ 110
438
+ 00:09:12,490 --> 00:09:18,690
439
+ ู„ูŠุด ู…ุด ุงู„ู„ูŠ ุฃุนู„ู‰ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ุงู„ pressure ู‡ุฐุง
440
+
441
+ 111
442
+ 00:09:18,690 --> 00:09:19,470
443
+ ุงุณู…ู‡ ุงู„ boredom
444
+
445
+ 112
446
+ 00:09:24,550 --> 00:09:29,630
447
+ ุฌูŠุฌ ูููƒุฑุฉ ู‡ูˆ ุงู†ุง ุจูƒูˆู† ุงู„ู…ู‚ุทุน ุจุชุงุนู‡ ุจูŠุถุงูˆูŠ ู†ุชูŠุฌุฉ ุงู„
448
+
449
+ 113
450
+ 00:09:29,630 --> 00:09:33,610
451
+ pressure ุฌูˆู‡ ุจูŠุญูˆู„ pressure ูŠุญูˆู„ ู„ุฏุงุฆุฑุฉ ุนุดุงู† ุชุญูˆู„
452
+
453
+ 114
454
+ 00:09:33,610 --> 00:09:37,150
455
+ ู„ุฏุงุฆุฑุฉ ุจูŠุตูŠุฑ ุจุชุชุญุฑูƒ ุงู„ุทุฑู ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ู…ุตูˆู„ ุจุงู„
456
+
457
+ 115
458
+ 00:09:37,150 --> 00:09:40,610
459
+ link ุงู„ link ู…ุตูˆู„ ุจุงู„ link ู‡ุฐุง ุณุงู…ุนู‡ ุงู„ crank
460
+
461
+ 116
462
+ 00:09:40,610 --> 00:09:47,330
463
+ ุทุฑูู‡ุง ุน ุดูƒู„ ุชุฑุณ ูˆุฌู‡ู‡ุง ู…ุน ุชุฑุณ ูู‡ุฐุง ู‡ูŠุฏูˆุฑ ุจุฏูˆุฑ ูุจุทู„ุน
464
+
465
+ 117
466
+ 00:09:47,330 --> 00:09:56,540
467
+ ู…ุนุงู„ .. ุงู„ุชุฑุณ ุงู„ู„ูŠ ุตุบูŠุฑ ุจุฏูˆุฑ ุงู„ุชุฑุณ .. ู†ุนู… ุงู‡
468
+
469
+ 118
470
+ 00:09:56,540 --> 00:10:04,540
471
+ ูŠุนู†ูŠ ุงู†ุช ุฌูŠุจ ุจู„ูˆู† ุฌูŠุจ ุจู„ูˆู† ุงู„ุทูˆูŠู„ ุงู„ุฑููŠุน ู…ุด ุจู„ูˆู†
472
+
473
+ 119
474
+ 00:10:04,540 --> 00:10:10,920
475
+ ุชู‚ู„ูŠุฏูŠ ู‡ูˆ ูุงุถูŠ ู…ููŠุด ููŠู‡ ู‡ูˆุงูŠุด ุจูŠูƒูˆู† ุจูŠูƒูˆู† ุงู„ู…ู‚ุทุนุฉ
476
+
477
+ 120
478
+ 00:10:10,920 --> 00:10:16,340
479
+ ุชุนุงู„ู‰ ุจูŠูƒูˆู† ู‡ุงูŠ ุจู„ูˆู† ู…ุณุงุญ ู…ู‚ู„ู‚
480
+
481
+ 121
482
+ 00:10:16,340 --> 00:10:17,620
483
+ ู‡ูˆุŒ ู…ุธุจูˆุทุŸ
484
+
485
+ 122
486
+ 00:10:21,050 --> 00:10:24,670
487
+ ุทุจุนุง ู‡ุชุณู…ุนู‡ุง ูƒุฃู†ุง ู…ูƒุจุฑู‡ุง ุดูˆูŠุฉ ูŠุนู†ูŠ ูุนู„ูŠุง ุงู„ู…ู‚ุทุน
488
+
489
+ 123
490
+ 00:10:24,670 --> 00:10:30,650
491
+ ุชุงุนู‡ ุจูŠูƒูˆู† ุฅูŠุด ู…ุณุชุทูŠู„ .. ู…ุณุชุทูŠู„ ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ุชู†ูู‚ู‡
492
+
493
+ 124
494
+ 00:10:30,650 --> 00:10:38,190
495
+ ุจูŠุจู‚ู‰ ู…ุณุชุทูŠู„ ู„ุฃ
496
+
497
+ 125
498
+ 00:10:38,190 --> 00:10:44,350
499
+ ุจุชุบูŠุฑุด ู‡ุฐุง ุจูŠูƒูˆู† ู…ุนุฏู†ู‰ .. metal ุจุณ ููŠู‡ elasticity
500
+
501
+ 126
502
+ 00:10:44,350 --> 00:10:51,870
503
+ .. ููŠู‡ elasticity ุงู„ุขู† ุงู„ุดูƒู„ ุจูŠุฏุงูˆูŠุฃุญุณู† ุดูƒู„ ุนุดุงู†
504
+
505
+ 127
506
+ 00:10:51,870 --> 00:10:57,870
507
+ ูŠูˆุฒุน ุงู„ุถุบุท ุจูŠุญุงูˆู„ ูŠุชุฏูˆุฑ ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ ุงู„ุชุฏูˆูŠุฑ ุจูŠุตูŠุฑ
508
+
509
+ 128
510
+ 00:10:57,870 --> 00:11:01,850
511
+ ู„ู‡ ุฅูŠู‡ ุนุดุงู† ุญุฑูƒุฉ ู„ุฅู† ู…ู† ู‡ู†ุง fixed ูˆ ู…ู† ู‡ู†ุง fixed
512
+
513
+ 129
514
+ 00:11:01,850 --> 00:11:08,290
515
+ ู…ุงุจู…ุณูƒูˆุง ูƒูˆูŠุณ ู‡ู†ุง ููƒู„ ู…ุง ู†ุจุนุฏ ูƒู„ ู…ุง ูŠุญุงูˆู„ ูŠุชุญุฑูƒ
516
+
517
+ 130
518
+ 00:11:08,290 --> 00:11:15,590
519
+ ูุงู„ุญุฑูƒุฉ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ูู‡ูˆ ูุนู„ูŠุง ู…ุชุญุฑูƒุช ู„ุฃ ูุนู„ูŠุง
520
+
521
+ 131
522
+ 00:11:15,590 --> 00:11:20,270
523
+ ุงู„ุทุฑู ู‡ุฐุง ู…ุชุญุฑูƒู…ู† ู‡ู†ุง ุซุงุจุช ูŠุนู†ูŠ ุงู†ุช ุนู†ุฏูƒ ู‡ู†ุง ุดุงูŠู
524
+
525
+ 132
526
+ 00:11:20,270 --> 00:11:24,650
527
+ ู‡ุฐู‡ ู‡ุฐุง ุงู„ุทุฑู ู‡ุฐุง ูˆุฑุง ุงู„ู…ุคุดุฑ ูˆุฑุง ุงู„ู…ุคุดุฑ ููŠู‡
528
+
529
+ 133
530
+ 00:11:24,650 --> 00:11:30,350
531
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ู‡ุฐู‡ ูˆุฑุง ุงู„ู…ุคุดุฑ ุดุงูŠู ูƒูŠู ู‡ุฐู‡ ู…ุจุณูˆุทุฉ ู…ู†
532
+
533
+ 134
534
+ 00:11:30,350 --> 00:11:35,170
535
+ ู‡ู†ุง ูˆู‡ู†ุง ุนู†ุฏูƒ ู…ุซู„ุง ุงู†ุง ุจู‚ูŠุณ ููŠ ู‡ุฐู‡ ุงู†ุจูˆุจ ุงู†ุง ุจูƒูˆู†
536
+
537
+ 135
538
+ 00:11:35,170 --> 00:11:46,070
539
+ ุนุงู…ู„ ุญุฑู T ู‡ู†ุง ูˆู…ุณู†ู†ุฉ ู‡ุฐู‡ ุงู†ุจูˆุจ ุนู†ุฏู‡ ู…ุธุงุฑ
540
+
541
+ 136
542
+ 00:11:46,070 --> 00:11:46,890
543
+ ุฏู‚ุช ุจุฏุฎู„ ู…ู† ู‡ู†ุง
544
+
545
+ 137
546
+ 00:11:50,350 --> 00:11:56,070
547
+ ูุงู„ุถุบุท ุงุฑุชูุน ู‡ุงุฏ ุจุชุชุญุฑูƒ ูˆุฑุงู‡ุง ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู„ู‰ ู‡ู‰
548
+
549
+ 138
550
+ 00:11:56,070 --> 00:12:02,770
551
+ ุงู„ู„ู‰ ู‡ุงุฏู‰ ู‡ู†ุนู…ู„ู‡ุง ุงู†ุช ู…ุด ุดุงูŠูู‡ุง ูˆููŠ ุนู†ุฏูƒ ุชุฑุณ ู‡ู†ุง
552
+
553
+ 139
554
+ 00:12:02,770 --> 00:12:11,870
555
+ ูˆููŠ ุนู†ุฏูƒ ุงู„ู„ู‰ ู‡ูˆ ุชุฑุณ ุงุด ุฒูŠ ู‡ูŠูƒ ู„ู…ุง ู‡ุงุฏ ูŠุชุญุงูˆู„ ุชุญุฑูƒ
556
+
557
+ 140
558
+ 00:12:11,870 --> 00:12:17,190
559
+ ุจุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุญุงูˆู„ ุชุทู„ุน ู„ุฃุนู„ู‰ ุจุชุดุฏ ู‡ุฐุง ุจูŠุญุงูˆู„ ุชุญุฑูƒ
560
+
561
+ 141
562
+ 00:12:17,190 --> 00:12:21,730
563
+ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ู‡ุฐุง ุจูŠุฏูˆุฑ ุฅูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑ ุงู„ุณุงุนุฉ
564
+
565
+ 142
566
+ 00:12:21,730 --> 00:12:26,450
567
+ counter clockwise ู‡ุฐุง ุจูŠุจู‚ู‰ ู†ุชูˆุญุฏ ูˆุฑู‚ ุฅูŠุดุŸ ุนูƒุณู‡
568
+
569
+ 143
570
+ 00:12:26,450 --> 00:12:32,110
571
+ ุฅุฐุง ู‡ุฐุง counter ู‡ุฐุง clockwise clockwise ุจุฑูุน ุฅูŠุด
572
+
573
+ 144
574
+ 00:12:32,110 --> 00:12:38,830
575
+ ุงู„ู…ุคุดุฑุŸ ุจูŠุนุทูŠู†ุง ู‚ุฑุงุกุฉ ู†ุนู…
576
+
577
+ 145
578
+ 00:12:46,880 --> 00:12:50,820
579
+ ุฃูŠูˆุฉ ุจูŠุนุทูŠ ุถุบุท ุฒูŠุงุฏุฉ ุนู„ู‰ ุงู„ liquid ู„ุฃ ุฏู‡ liquid
580
+
581
+ 146
582
+ 00:12:50,820 --> 00:12:55,300
583
+ ู†ุงุดูŠ ุทุจุนุง ู‡ูˆ ุงู„ physical constraints ุงู„ู„ูŠ ุจุญูƒูŠู‡
584
+
585
+ 147
586
+ 00:12:55,300 --> 00:12:58,140
587
+ ุตุญูŠุญ physical constraints ุฃู†ุง ู…ุงู†ุง ุฃู‚ูŠุต ุถุบุท ูู…ุชุฑุง
588
+
589
+ 148
590
+ 00:12:58,140 --> 00:13:03,200
591
+ ุฃูŠู‡ ูƒูŠู ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท ุงู„ุญู‚ูŠู‚ูŠ ุจุชุฃุซุฑ ุนู„ู‰ ุงู„ุถุบุท
592
+
593
+ 149
594
+ 00:13:03,200 --> 00:13:07,580
595
+ ุงู„ุญู‚ูŠู‚ูŠ ุจุณ ุงู„ุชุฃุซูŠุฑ ุจูŠูƒูˆู† insignificant ูˆูƒู„
596
+
597
+ 150
598
+ 00:13:07,580 --> 00:13:11,040
599
+ research ุจูŠุตูŠุฑ ุนุดุงู† ุชุชู‚ู„ู„ ู…ู† ุงู„ู…ุคุซุฑุงุช ู‡ุฐู‡ ุงูˆ
600
+
601
+ 151
602
+ 00:13:11,040 --> 00:13:16,850
603
+ ู…ุงุชุชู‚ู„ู„ุด ุงูˆ ุชุฎุฏู‡ุง ููŠ ุงู„ุงุนุชุจุงุฑ ููŠ ุงู„ designูŠุนู†ูŠ
604
+
605
+ 152
606
+ 00:13:16,850 --> 00:13:23,090
607
+ ู…ุซู„ุง ุงู„ู‚ุฑุงูŠุฉ ู…ุซู„ุง ุชุทู„ุน ู…ุนุงูƒ ู…ูŠุฉ
608
+
609
+ 153
610
+ 00:13:23,090 --> 00:13:30,570
611
+ ู…ุซู„ุง ุจุณ ู‡ูŠ ุงู„ุตุญ ู…ุซู„ุง ุชุณุนูŠู† ู…ุซู„ุง ุฃูˆ ู…ูŠุฉ ูˆ ุนุดุฑุฉ ู‡ุฐุง
612
+
613
+ 154
614
+ 00:13:30,570 --> 00:13:35,270
615
+ ุดุบู„ ุชุงู†ูŠ ุงู„ู„ูŠ ุจุชุญูƒูŠ ุงู„ุชูุงุตูŠู„ ุญุงู„ูŠุง ุฃูƒูŠุฏ ุจุชุฃุซุฑ
616
+
617
+ 155
618
+ 00:13:44,310 --> 00:13:49,070
619
+ ุทุจ ุงุญู†ุง ู‡ู†ุง ู…ุด ู‡ู†ุญูƒูŠ ุนู„ู‰ ุงู„ design how ุช design ุงู„
620
+
621
+ 156
622
+ 00:13:49,070 --> 00:13:53,470
623
+ gauge ู…ุด ู…ูˆุถูˆุน ุงู„ course ู‡ุฐุง ู…ูˆุถูˆุน ุงูŠุด courseุŸ
624
+
625
+ 157
626
+ 00:13:53,470 --> 00:13:57,450
627
+ ู…ูŠุฌุฑู…ุช .. ู…ู…ูƒู† ุชุนู…ู„ design ู„ู„ gaugeุŒ ู…ู…ูƒู† ุชุฎุชุงุฑ ุงู„
628
+
629
+ 158
630
+ 00:13:57,450 --> 00:14:03,090
631
+ section ุตุญุŒ ุงู„ุฒูˆุงุฏ ุจุชุงุนุชู‡ ุตุญุŒ ุงู„ุดูƒู„ ุงู„ุจูŠุถุงูˆูŠ ุตุญุŒ
632
+
633
+ 159
634
+ 00:14:03,090 --> 00:14:07,770
635
+ ุงู„ุณู…ุงูƒุฉ ุจุชุงุนุชู‡ุงู„ material ุงู„ links ุงู„ snappy
636
+
637
+ 160
638
+ 00:14:07,770 --> 00:14:11,370
639
+ ู„ุชูุงุตูŠู„ ุงู„ module ุนุฏุฏู‡ุง ูˆ ุงู„ู‚ุทุฑ ูƒู„ู‡ุง ุชูุงุตูŠู„ ู‡ุฐุง
640
+
641
+ 161
642
+ 00:14:11,370 --> 00:14:14,850
643
+ ุงุญู†ุง .. ุงุญู†ุง ููŠ ุงู„ูƒูˆุฑุณุฉ ุฏู‡ ุงุญู†ุง ู…ุงุจู†ุนู…ู„ุด design ู„
644
+
645
+ 162
646
+ 00:14:14,850 --> 00:14:18,930
647
+ gauges ุงูˆ ู„ุฃุฌุฒุฉ ู‚ูŠุงุณูŠุฉ ุงุญู†ุง ุจู†ุดูˆู ูƒูŠู ู†ุณุชุฎุฏู…
648
+
649
+ 163
650
+ 00:14:18,930 --> 00:14:23,550
651
+ ุงู„ุฃุฌุฒุฉ ู‡ุฐู‡ ูˆ ูƒูŠู ู†ุดูˆู ู…ุฏู‰ ุฏู‚ุชู‡ุง ูˆ error analysis
652
+
653
+ 164
654
+ 00:14:23,550 --> 00:14:27,750
655
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ error analysis ุฏุฑุณู†ุงู‡ chapter ุงู„ุณุงุจู‚
656
+
657
+ 165
658
+ 00:14:27,750 --> 00:14:32,430
659
+ chapter ุชู„ุงุชุฉ ุงุญู†ุง ุงู„ูƒูˆุฑุณูŠุฉ ุฏู‡ ู…ุชุฎุตุต ุจูŠุงุด ุจุนู„ู…
660
+
661
+ 166
662
+ 00:14:32,430 --> 00:14:35,990
663
+ ุงู„ู‚ูŠุงุณุงุช ู†ูุณู‡ู…ุด ุจุงู„design ุทุจุนุง ู‡ู†ูุถู„ู‡ ููŠ ุงู„ุขุฎุฑ
664
+
665
+ 167
666
+ 00:14:35,990 --> 00:14:43,850
667
+ product ู…ู…ูƒู† ุชุนู…ู„ู‡ design ูˆูŠู„ู‡ ุญุณุงุจุงุช ู…ุนู†ุงุชู‡
668
+
669
+ 168
670
+ 00:14:43,850 --> 00:14:47,250
671
+ ุงู„ู…ูŠูƒุงู†ูŠุฒู… ุงู„ู…ูุฑูˆุถ ุชูƒูˆู† ู…ุถุญูƒุชุงู† ุฏูŠ ู„ู…ุง ุชุดู‡ุฑ ููŠ ุงู„
672
+
673
+ 169
674
+ 00:14:47,250 --> 00:14:50,890
675
+ series Z ู‡ุฐุง ุจุชุชุญุฑูƒ ุจู‡ุฐุง ุงู„ุงุชุฌุงู‡ ู…ุนู†ุงุชู‡ ุงู„ link
676
+
677
+ 170
678
+ 00:14:50,890 --> 00:14:55,190
679
+ ู‡ุฐุง ู‡ุชู…ุดูŠ ู‡ูŠูƒ ู‡ุชุชุญุฑูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐุง ู‡ุณูŠุฑ ู‡ูŠุฏูˆุฑ
680
+
681
+ 171
682
+ 00:14:55,190 --> 00:15:02,150
683
+ ุงูŠุดุŸ ุจุนูƒุณ ุนู‚ุงุฑูŠ ุงู„ุณูŠุนุฉ ู‡ุฐุง ุชุฑุณ ู‡ุฐุง ู‡ุฏูˆุฑ ุจุฅูŠุดุŸ
684
+
685
+ 172
686
+ 00:15:03,420 --> 00:15:08,860
687
+ ุจุงุชุฌุงู‡ู‡ุง ู‚ุงู„ูˆุง ุณูŠู…ุง ู†ุงุชูˆ ุงู„ู…ุคุดุฑ ูŠุงุด ู‡ูŠุชุญุฑูƒ
688
+
689
+ 173
690
+ 00:15:08,860 --> 00:15:17,220
691
+ ู‡ุนุทูŠู†ุง ู‚ุฑุงุฉ ู‡ุฐุง
692
+
693
+ 174
694
+ 00:15:17,220 --> 00:15:28,280
695
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ bored tube gauge ุทูŠุจ
696
+
697
+ 175
698
+ 00:15:28,280 --> 00:15:28,880
699
+ ุงู„ tip
700
+
701
+ 176
702
+ 00:15:31,750 --> 00:15:42,270
703
+ ุงู„ู€ tip displacement ู‡ุงูŠ ุงู„ู€ tip ุงู„ู€
704
+
705
+ 177
706
+ 00:15:42,270 --> 00:15:47,070
707
+ displacement ุงู„ู„ูŠ ุฒุงู‡ุง ุชุงุนุช ุงู„ุทุฑู ู‡ุฐุง ุจุชุบูŠุฑ ุชู‚ุฑูŠุจุง
708
+
709
+ 178
710
+ 00:15:47,070 --> 00:15:54,550
711
+ ุฎุทูŠุง ู…ุน ุงู„ pressure tip motion ุงูˆ displacement
712
+
713
+ 179
714
+ 00:15:54,550 --> 00:16:03,150
715
+ ุชุบูŠุฑ ุฎุท ู…ุน ุงู„ pressureุทุจุนุง ุชุญุช ู‡ุฐู‡ ู„ู…ุง ุงู†ุช ูƒ
716
+
717
+ 180
718
+ 00:16:03,150 --> 00:16:05,990
719
+ designer ู…ุตู…ู… ุจุฏูƒ ุชุตู…ู… ุงู„ gauge ุงู†ุช ุจุชุดูˆู ุงู„ุดุฑูƒุฉ
720
+
721
+ 181
722
+ 00:16:05,990 --> 00:16:11,710
723
+ ุจุชุนู…ู„ ุงู„ gauges ู‡ุฐู‡ ุชุญุช linearly ููŠ ุดุบู„ ูƒุชูŠุฑ ููŠ
724
+
725
+ 182
726
+ 00:16:11,710 --> 00:16:16,090
727
+ ุงู„ุชูุงุตูŠู„ ุนุดุงู† ุชุถู…ู† ุงู†ู‡ ุงู„ุชุบูŠุฑ ุจูŠู† ุงู„ tip
728
+
729
+ 183
730
+ 00:16:16,090 --> 00:16:21,190
731
+ displacement ูˆ ุงู„ pressure is linear ุนุดุงู† ุงู† ุงู„
732
+
733
+ 184
734
+ 00:16:21,190 --> 00:16:25,610
735
+ linear ููŠู‡ ุชูุงุตูŠู„ ุงู„ material ุงู„ุณู…ุงูƒุฉ ุงู„ุดูƒู„
736
+
737
+ 185
738
+ 00:16:25,610 --> 00:16:31,320
739
+ ุงู„ุจูˆุถูˆูŠ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ .. ููŠู‡ ุชูุงุตูŠู„ุนุดุงู† ูŠูƒูˆู†
740
+
741
+ 186
742
+ 00:16:31,320 --> 00:16:37,240
743
+ linear ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ู‡ู†ุง ูƒูŠู ู…ูŠุซุจุชู‡ุง ุทุจุนุง ู…ุงููŠุด
744
+
745
+ 187
746
+ 00:16:37,240 --> 00:16:40,440
747
+ ุงูŠุด ุงุณู…ู‡ ูŠุนู†ูŠ ู‡ุฐุง schematic ู…ุงููŠุด ุงุณู…ู‡ sharp edge
748
+
749
+ 188
750
+ 00:16:40,440 --> 00:16:50,300
751
+ ู‡ุฐุง ุจุชูƒูˆู† ุงูŠู‡ ุงุด ููŠู‡ fillet ู…ุฏูˆุฑ ุชุฏูˆูŠุฑ ุทุฑูŠู‚ุฉ
752
+
753
+ 189
754
+ 00:16:50,300 --> 00:16:56,100
755
+ ุชุซุจูŠุช ุงู„ details ู‡ู†ุง ููŠู‡ุง ุชูุงุตูŠู„ ุจุฑุถู‡ ู‡ุฐุง ุงุณู…ู‡
756
+
757
+ 190
758
+ 00:16:56,100 --> 00:16:58,420
759
+ design ุงู„ู…ูˆุถูˆุน ุชุงู†ูŠ
760
+
761
+ 191
762
+ 00:17:02,990 --> 00:17:06,550
763
+ ุงู„ู€ boarding tube gauges ุจุชุบุทูŠ range ุชู‚ุฑูŠุจุง ู…ู† 100
764
+
765
+ 192
766
+ 00:17:06,550 --> 00:17:11,370
767
+ ูƒุจุณูƒุงู„ ู„ 150 ู…ูŠุฌุงุจุณูƒุงู„ ูŠุนู†ูŠ ุงู„ range ูˆุงุณุนุฉ ู…ู† 100
768
+
769
+ 193
770
+ 00:17:11,370 --> 00:17:17,170
771
+ ูƒุจุณูƒุงู„ ูŠุนู†ูŠ ู…ู† 10 ู…ูŠุฌุง ู„ 150 ู…ูŠุฌุง ูŠุนู†ูŠ ู…ู† 1 ุจุงุฑ
772
+
773
+ 194
774
+ 00:17:17,170 --> 00:17:26,090
775
+ ุชู‚ุฑูŠุจุง ู„ 1500 ุจุงุฑ ุทุจุนุง
776
+
777
+ 195
778
+ 00:17:26,090 --> 00:17:29,230
779
+ ุงู„ boarding gauge ุงุณุชุฎุฏุงู…ู‡ ูŠุนู†ูŠ ุจูŠูƒูˆู† ู…ููŠุฏ ู„ู…ุง ุงู„
780
+
781
+ 196
782
+ 00:17:29,230 --> 00:17:35,910
783
+ pressure ูŠูƒูˆู† staticุฃูˆ ุจุชุบูŠุฑ ุจุดูƒู„ ุจุทูŠุก ุฃู…ุง ุฅุฐุง
784
+
785
+ 197
786
+ 00:17:35,910 --> 00:17:40,870
787
+ ูƒุงู†ุช ุชุบูŠุฑ ุนู†ุฏ ู…ุตุฏุฑ ุงู„ pressure ุงู„ุชุบูŠุฑ ููŠู‡ ุณุฑูŠุน ุจุฏูƒ
788
+
789
+ 198
790
+ 00:17:40,870 --> 00:17:45,570
791
+ ุชุดูˆู ุทุฑู‚ ุชุงู†ูŠุฉ ู…ู† ุงู„ุดุบู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุชุคุฏูŠ ู„ุฃุฑู‡ ููŠ
792
+
793
+ 199
794
+ 00:17:45,570 --> 00:17:51,670
795
+ ุงู„ู‚ุฑุงุกุงุช ุนู†ุฏูŠ friction ู‡ู†ุง ููŠ friction ุนู†ุฏูŠ ุงู„
796
+
797
+ 200
798
+ 00:17:51,670 --> 00:17:58,550
799
+ pins ููŠ friction ู‡ู†ุงููŠ friction ูˆููŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡
800
+
801
+ 201
802
+ 00:17:58,550 --> 00:18:02,670
803
+ ุจุฑุถู‡ ู…ู…ูƒู† ูŠูƒูˆู† ุนู†ุฏู‡ friction ูˆููŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
804
+
805
+ 202
806
+ 00:18:02,670 --> 00:18:07,510
807
+ backlash ุงู„ุงุณู†ุงู† ุจูŠูƒูˆู† ููŠู‡ุง ูุฑุงุบุงุช ูุงู„ backlash
808
+
809
+ 203
810
+ 00:18:07,510 --> 00:18:11,170
811
+ ู‡ุฐู‡ ู…ู…ูƒู† ุชุนู…ู„ hysteresis ูŠุนู†ูŠ ู„ู…ุง ู†ุถุบุท ูŠุฒูŠุฏ ุจูŠุญุงูˆู„
812
+
813
+ 204
814
+ 00:18:11,170 --> 00:18:14,550
815
+ ูŠุนุทูŠู†ุง ุงู„ู‚ุฑุงุกุฉ ู‚ู„ ู„ู…ุง ู†ุถุบุท ูŠู‚ู„ ุจูŠุญุงูˆู„ ูŠุนุทูŠู†ุง
816
+
817
+ 205
818
+ 00:18:14,550 --> 00:18:22,290
819
+ ุงู„ู‚ุฑุงุกุฉ ุฃุนู„ู‰ ูุงู„ loading ุจูŠุฎุชู„ู ุนู† ุงู„ unloading
820
+
821
+ 206
822
+ 00:18:22,290 --> 00:18:28,290
823
+ ุจูŠุนู…ู„ hysteresisุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช ุจุฑุถู‡ ุทุฑูŠู‚ุฉ ุงู„ุชุซุจูŠุช
824
+
825
+ 207
826
+ 00:18:28,290 --> 00:18:31,690
827
+ ุงู„ู„ูŠ ุนู† ุงู„ุณู†ุจ ุงูˆ .. ุงูŠูˆุฉ ู„ุงู† ุงู†ุช .. ุงู†ุช ู„ู…ุง ุชูŠุฌูŠ
828
+
829
+ 208
830
+ 00:18:31,690 --> 00:18:37,550
831
+ ุชุซุจุช ู„ู…ุง ุช .. ุช .. ุชุญุท ุงู„ gauge ุงู„ู…ุตู†ุน ุจูŠุญูƒูˆ ..
832
+
833
+ 209
834
+ 00:18:37,550 --> 00:18:42,950
835
+ ุญูƒูŠู„ูƒ ูƒูŠู ุชุนู…ู„ ุงู„ connection ุงูŠูˆุฉ ูŠุนู†ูŠ ู†ุงุณ ุจูŠุญูƒูŠู„ูƒ
836
+
837
+ 210
838
+ 00:18:42,950 --> 00:18:50,690
839
+ ุงู† ู‡ู†ุง ู‡ุชุทู„ุน ู…ุซู„ุง ุงุฐุง ุนู†ุฏูŠ ุงู„ุจูˆุจ ุจูŠูƒูˆู† ูŠุนุทูŠู„ูƒ
840
+
841
+ 211
842
+ 00:18:50,690 --> 00:18:53,930
843
+ ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ how to connect
844
+
845
+ 212
846
+ 00:18:56,900 --> 00:19:01,340
847
+ ู‡ุฐุง ุชูƒูˆู† ุนู…ู„ ุญุณุงุจ ููŠ ุงู„ design ุจุฅู†ูุนุด ุชุนู…ู„ ุงู„
848
+
849
+ 213
850
+ 00:19:01,340 --> 00:19:06,000
851
+ connection ูˆ ุชูƒูˆู† ุฏุงุฎู„ ุงู„ู„ูŠ ู‡ูˆ ุดูˆูŠุฉ ุฒูŠ ู‡ูŠูƒ ูˆุงุถุญ
852
+
853
+ 214
854
+ 00:19:06,000 --> 00:19:14,170
855
+ ุงูŠูˆุฉ ุงู„ุงู† ุงู„ torque levelุฃูŠูˆุฉ ุจุชุนูŠุฑ .. ุจุชุนูŠุฑ ุนู„ู‰
856
+
857
+ 215
858
+ 00:19:14,170 --> 00:19:17,410
859
+ ุงู„ torque level ู…ุนูŠู† ู‡ุฐุง ุงูŠู‡ ุงู„ุนู„ุงู‚ุฉ ุจุงู„ุณู† ูŠุนู†ูŠ
860
+
861
+ 216
862
+ 00:19:17,410 --> 00:19:21,430
863
+ ุจูŠูƒูˆู† ูƒุงุชุจ ู„ูƒ ุงู„ู…ุตู†ุน ู‡ุฐุง ุจูŠุณูƒุฑ ุนู„ู‰ ู…ุซู„ุง ุงู„ .. ุงู„
864
+
865
+ 217
866
+ 00:19:21,430 --> 00:19:24,550
867
+ .. ุงู„ .. ุนู„ู‰ ู…ุซู„ุง ุนู„ู‰ ู„ุฃ ุงู„ torque ุจุชุญูƒูŠู‡ุง ุชู‡ูŠุฆุง
868
+
869
+ 218
870
+ 00:19:24,550 --> 00:19:28,590
871
+ ู…ุซู„ุง ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุจุชุนูŠุฑ ุนู†ุฏูƒ ุงู„ torch ุงู‡
872
+
873
+ 219
874
+ 00:19:28,590 --> 00:19:32,910
875
+ ุจุชุนูŠุฑู‡ ุนู„ู‰ ู…ุงุฆุฉ ู†ูŠูˆุช ุงู„ู…ุชุฑ ุงูˆู„ ู…ุงุชุตู„ ู…ุงุฆุฉ ู†ูŠูˆุช
876
+
877
+ 220
878
+ 00:19:32,910 --> 00:19:39,290
879
+ ุงู„ู…ุชุฑ ุจูŠุตูŠุฑ ูŠู„ู ุนู„ู‰ ุงู„ูุงุถุจ ูˆ ุฏู‡ torching ู‡ุฐุงู…ูˆุฌูˆุฏ
880
+
881
+ 221
882
+ 00:19:39,290 --> 00:19:48,630
883
+ ู‡ุฐุง ุนุงุฏุฉ ุงู„ุดุฏ ุงู„ุฒุงูŠุฏ ู…ุด ูƒูˆูŠุณ ูˆ ุงุฐุง ูƒุงู†ุช ุชูˆุฑุฌูŠู† ุงูˆ
884
+
885
+ 222
886
+ 00:19:48,630 --> 00:19:51,890
887
+ ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ุจุฑุถู‡ ู…ุด ูƒูˆูŠุณ ุงุฐุง ุงู‚ู„ ู…ู† ู…ูŠุงุฌุจ ู…ู…ูƒู†
888
+
889
+ 223
890
+ 00:19:51,890 --> 00:19:57,350
891
+ ูŠุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุตุญ ูˆ ุงุฐุง ุงูƒุชุฑ ู…ู† ุงู„ู„ุงุฒู… ู…ู…ูƒู† ูŠุณูˆูŠ
892
+
893
+ 224
894
+ 00:19:57,350 --> 00:20:04,370
895
+ ูŠุตูŠุฑ ูƒุณุฑ ู„ู„ุณู† ุตุงุฑ ูƒุณุฑ ู„ู„ุณู† ุฎุฑุจุช ูˆ ู„ูˆ ู…ุงุงู†ุชุจู‡ุชุด
896
+
897
+ 225
898
+ 00:20:04,370 --> 00:20:09,020
899
+ ู‡ุชุตูŠุฑ ุชุนู…ู„ ู„ูŠู‡ุงุด ู„ูŠูƒุฌ ุชุณุฑูŠุจูู…ุด ูƒูˆูŠุณ ุดุฏ ูƒุชูŠุฑ ุงุญู†ุง
900
+
901
+ 226
902
+ 00:20:09,020 --> 00:20:12,380
903
+ ุฎุดุชูˆุง ุนู„ู‰ ู…ุงุฏุฉ ุชุตู…ูŠู… ุงู„ู‡ุงุชู machine design ู‡ูŠูƒ
904
+
905
+ 227
906
+ 00:20:12,380 --> 00:20:16,520
907
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ design ุงู„ุชุงู†ูŠ
908
+
909
+ 228
910
+ 00:20:16,520 --> 00:20:23,200
911
+ ุงู„ุงู† ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ุฃุฌุณุณ ุงู„ู‚ูŠุงุณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ ุงู„ ุงู„
912
+
913
+ 229
914
+ 00:20:23,200 --> 00:20:27,340
915
+ diaphragms elastic diaphragms diaphragm ูŠุนู†ูŠ ุบุดุงุก
916
+
917
+ 230
918
+ 00:20:27,340 --> 00:20:31,640
919
+ ุจูŠูƒูˆู† ุฏูŠ basically ุจูŠูƒูˆู† ุฏูŠ ุบุดุงุก
920
+
921
+ 231
922
+ 00:20:42,100 --> 00:20:48,960
923
+ ูˆ ุงู„ุบุดุงุก ู…ุซุจุช ุจุทุฑูŠู‚ุฉ ู…ุง .. ุงุฐุง ุนู†ุฏู‡ ู‡ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท
924
+
925
+ 232
926
+ 00:20:48,960 --> 00:20:54,600
927
+ ุงู„ู„ูŠ ููŠู‡ ุนู†ุฏู‡ ู‡ูŠ pressure ู†ู†ุชุฌ
928
+
929
+ 233
930
+ 00:20:54,600 --> 00:21:00,420
931
+ .. ู†ู†ุชุฌ ุงู„ pressure ุงุด ู‡ุชุตูŠุฑ ููŠู‡ุŸ ู‡ุชุตูŠุฑ deflection
932
+
933
+ 234
934
+ 00:21:00,420 --> 00:21:06,340
935
+ ู‡ุชุตูŠุฑ
936
+
937
+ 235
938
+ 00:21:06,340 --> 00:21:08,700
939
+ ุงูŠู‡ ุงุดุŸ deflection
940
+
941
+ 236
942
+ 00:21:12,590 --> 00:21:18,110
943
+ ุงู„ู€ deflection ู‡ุฐุง ู‚ูŠู…ุชู‡ ู…ุชู†ุงุณุจุฉ ู…ุน ู‚ูŠู…ุฉ ุงู„ุถุบุท
944
+
945
+ 237
946
+ 00:21:18,110 --> 00:21:25,550
947
+ ูŠุนู†ูŠ ูƒู„ ู…ุง ูŠุฒูŠุฏ ุงู„ุถุบุท ุงู„ pressure is deflection ูˆ
948
+
949
+ 238
950
+ 00:21:25,550 --> 00:21:28,690
951
+ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ deflection ูˆ ุงู„ pressure ุทุจุนุง ุฅุฐุง
952
+
953
+ 239
954
+ 00:21:28,690 --> 00:21:33,010
955
+ ุชุฑูˆุญ ุนู„ู‰ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ู‚ุงูˆู…ุฉ ุงู„ู…ูˆุงุฏ ุงู„ู„ูŠ ู‡ูŠ plate
956
+
957
+ 240
958
+ 00:21:33,010 --> 00:21:36,610
959
+ theory
960
+
961
+ 241
962
+ 00:21:36,610 --> 00:21:39,750
963
+ plate
964
+
965
+ 242
966
+ 00:21:39,750 --> 00:21:47,270
967
+ ุงูˆthin plate theory ุจูŠูƒูˆู†
968
+
969
+ 243
970
+ 00:21:47,270 --> 00:21:50,090
971
+ ูŠุนู†ูŠ ู‡ุฐู‡ ู…ุนุฑูˆูุฉ ุงู„ู…ุนุงุฏู„ุงุช ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress ุงู„
972
+
973
+ 244
974
+ 00:21:50,090 --> 00:21:55,210
975
+ stress ุจูŠุนู…ู„ strain ูู…ู…ูƒู† ุงู†ุง ู…ุจุงุดุฑุฉ ุงู†ุง ุงู„ delta
976
+
977
+ 245
978
+ 00:21:55,210 --> 00:21:59,990
979
+ ุงู„ deflection ุฏู‡ ุงู„ deflection ุงุญุฏ ุงู„ุทุฑู‚ ุงู†ู‡ ุงุญุงูˆู„
980
+
981
+ 246
982
+ 00:21:59,990 --> 00:22:06,170
983
+ somehow ุงู„ motion for some indicator ูˆ ุงู‚ูŠุณ ุงูŠุด ุงู„
984
+
985
+ 247
986
+ 00:22:06,170 --> 00:22:10,690
987
+ pressure ุงูˆ ุทุฑูŠู‚ุฉ ุชุงู†ูŠุฉ ุงุญุท
988
+
989
+ 248
990
+ 00:22:11,870 --> 00:22:18,230
991
+ ุฃุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ูƒู‡ุฑุจุงุฆูŠุฉ ุฃุญุท ู…ุซู„ุง ู‡ู†ุง ุนู†ุฏูŠ ุฃุญุท
992
+
993
+ 249
994
+ 00:22:18,230 --> 00:22:26,590
995
+ stringage stringage ู†ุชูŠุฌุฉ ุฃู†ู‡ ุตุงุฑ deflection ู…ุซุจุช
996
+
997
+ 250
998
+ 00:22:26,590 --> 00:22:33,790
999
+ ุฃูŠูˆุฉ ุทูˆู„ู‡ ู‡ุฒูŠุฏ ู…ุซู„ุง ุทูˆู„ุฉ ุญุฑูŠุฉ ู…ุซู„ุง ู‡ุงูŠ ุฃู„ ูˆุงุญุฏ
1000
+
1001
+ 251
1002
+ 00:22:33,790 --> 00:22:43,000
1003
+ ู‡ุตูŠุฑ ุทูˆู„ู‡ ุฃู„ ุงุชู†ูŠู† ูˆ Delta ุณูˆุงุก ุฃู„ ุงุชู†ูŠู†-L ูˆุงุญุฏ
1004
+
1005
+ 252
1006
+ 00:22:43,000 --> 00:22:49,140
1007
+ ูˆุงู„ู€ strain ุงู„ู„ูŠ ุตุงุฑ ุงู„ู€ change ููŠ ุงู„ length ู†ุชูŠุฌุฉ
1008
+
1009
+ 253
1010
+ 00:22:49,140 --> 00:22:55,400
1011
+ Delta Delta L ุจูŠูƒูˆู† ุฏูŠ Delta ุนุงุด R ุนุงุด ุงู„ R
1012
+
1013
+ 254
1014
+ 00:22:55,400 --> 00:22:59,680
1015
+ ุงู„ู…ู‚ุงูˆู…ุฉ ุจูŠุตูŠุฑ ููŠู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ูุงู†ุง ุงู„ู„ูŠ
1016
+
1017
+ 255
1018
+ 00:22:59,680 --> 00:23:04,760
1019
+ ุจู‚ูŠุณู‡ ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ุฐุง ู‚ูŠุงุณู‡ ุณู‡ู„ ูƒุชูŠุฑ ู„ุฃู† ููŠ
1020
+
1021
+ 256
1022
+ 00:23:04,760 --> 00:23:08,160
1023
+ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ change ููŠ ุงู„ resistance ู…ุน ุงู„ change
1024
+
1025
+ 257
1026
+ 00:23:08,160 --> 00:23:12,730
1027
+ ููŠ ุงู„ length ูˆ ุงู„ change ููŠ ุงู„ lengthููŠ ุนู„ุงู‚ุฉ ุฅู„ู‡
1028
+
1029
+ 258
1030
+ 00:23:12,730 --> 00:23:18,870
1031
+ ุจุงู„ stress ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ูˆ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ูƒู…ุงู† ููŠ ุงู„
1032
+
1033
+ 259
1034
+ 00:23:18,870 --> 00:23:23,410
1035
+ pressure ุทุจุนุง ุจุฏูŠุด ุงู†ุง ู„ู…ุง ุงุฑุณู… ุงู„ stress strain
1036
+
1037
+ 260
1038
+ 00:23:23,410 --> 00:23:28,910
1039
+ curve ู„ู„ู…aterial ุจุชุงุนุชู‡ุง ุฏู‡ ู‡ุงูŠ stress ูˆ ู‡ุงูŠ
1040
+
1041
+ 261
1042
+ 00:23:28,910 --> 00:23:39,150
1043
+ strain ู‡ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ mechanics of material ู‡ุชุนุฑูุด
1044
+
1045
+ 262
1046
+ 00:23:39,150 --> 00:23:48,230
1047
+ ูŠุนู†ูŠ stressูˆ strain ุทูŠุจ ุงู„ deflections ู‡ุชูƒูˆู† ุจุญูŠุซ
1048
+
1049
+ 263
1050
+ 00:23:48,230 --> 00:23:52,210
1051
+ ู…ุงุฏุฎู„ุด ู„ plastic region ูŠุนู†ูŠ ุงู†ุง ุงุธู† ููŠ ุงูŠุด ููŠ ุงู„
1052
+
1053
+ 264
1054
+ 00:23:52,210 --> 00:23:57,230
1055
+ elastic region ู„ุงู† ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ stress ูˆ ุงู„
1056
+
1057
+ 265
1058
+ 00:23:57,230 --> 00:24:02,110
1059
+ strain ููŠ ุงู„ elastic region sigma ุจุงู„ุณูˆุงุก E ููŠ
1060
+
1061
+ 266
1062
+ 00:24:02,110 --> 00:24:08,950
1063
+ ุฃุจุณุฑู… ุงู„ sigmaุทุจุนุง ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ slope ุฏู‡ ุงู„
1064
+
1065
+ 267
1066
+ 00:24:08,950 --> 00:24:11,990
1067
+ linear portion ุงู„ E ุงู„ู„ูŠ ู‡ูŠ ุงู„ modulus of
1068
+
1069
+ 268
1070
+ 00:24:11,990 --> 00:24:16,850
1071
+ elasticity ูุจุฏุง ุชูƒูˆู† ููŠ ุงู„ .. ููŠ ุงู„ ุทุจุนุง ุงู„ู„ูŠ ุงู„ู„ูŠ
1072
+
1073
+ 269
1074
+ 00:24:16,850 --> 00:24:23,210
1075
+ ุฃู‚ุนุฏ ุฃุดู…ู„ู‡ุง linear ูˆ ุงู„ pressure somehow ุงู„
1076
+
1077
+ 270
1078
+ 00:24:23,210 --> 00:24:27,270
1079
+ pressure ู‡ู†ุง ุจูŠุนู…ู„
1080
+
1081
+ 271
1082
+ 00:24:27,270 --> 00:24:35,670
1083
+ stress ุจูŠุนู…ู„ ุนู†ุฏูƒ ุจูŠุนู…ู„ ู…ุง ูŠุณู…ู‰ ู„ู…ุง ุฃุดุฏ ู†ู‡ูŠุฃูƒ ุฃู†ุง
1084
+
1085
+ 272
1086
+ 00:24:35,670 --> 00:24:36,270
1087
+ ุฃูƒุจุฑู‡ุง
1088
+
1089
+ 273
1090
+ 00:24:39,280 --> 00:24:42,600
1091
+ ุจุฏูŠ ุงุนู…ู„ ุจุนุฏ ุงู„ู€ deformation ู‡ุณูŠุฑ ุดูƒู„ ุงู„ู€ membrane
1092
+
1093
+ 274
1094
+ 00:24:42,600 --> 00:24:48,260
1095
+ ุทุจุนุง
1096
+
1097
+ 275
1098
+ 00:24:48,260 --> 00:24:55,880
1099
+ ู‡ูŠูƒ ู‡ู†ุง ููŠ support ูˆู‡ู†ุง ููŠ support ู‡ุนู…ู„
1100
+
1101
+ 276
1102
+ 00:24:55,880 --> 00:25:03,100
1103
+ ู„ูŠู‡ sigma tangential ุฃูˆ ุจูŠุณู…ูˆู‡ุง sigma hoop hoop
1104
+
1105
+ 277
1106
+ 00:25:03,100 --> 00:25:09,040
1107
+ stress tangential stressุชู†ุฌุณุฑ ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ูุจุตูŠุฑ
1108
+
1109
+ 278
1110
+ 00:25:09,040 --> 00:25:14,720
1111
+ stress ุชู†ุชุฌ ุงู†ู‡ ุจู‚ุงูˆู… ุจุงู„ุดูŠุก ุจูŠุตูŠุฑ stress ูŠุนู†ูŠ ุงู†ุช
1112
+
1113
+ 279
1114
+ 00:25:14,720 --> 00:25:19,320
1115
+ ู„ูˆ ูˆุงุญุฏ ู…ุณูƒุช ู…ู† ุงูŠุฏู‡ ูˆ ุญุงูˆู„ ูŠุณุญุจูƒ ูˆ ุงู†ุช ุถุงู„ุชูƒ ูˆ
1116
+
1117
+ 280
1118
+ 00:25:19,320 --> 00:25:22,380
1119
+ ู…ุงุงุณุชุฌุจุชุด ู…ุนุงู‡ ู„ูˆ ู…ุงุดูŠุช ู…ุนุงู‡ ู…ุงููŠุด ุงุฌู‡ุงุฏ ุนู„ู‰ ุงูŠุฏูƒ
1120
+
1121
+ 281
1122
+ 00:25:22,380 --> 00:25:26,700
1123
+ ู„ูƒู† ุงุฐุง ุถ๏ฟฝ๏ฟฝู„ุชูƒ ุซุงุจุช ูˆ ุดุฏุชูƒ ู‡ุชุญุณ ููŠู‡ ุดุฏ ููŠ ุงูŠุฏูƒ ู‡ุฐุง
1124
+
1125
+ 282
1126
+ 00:25:26,700 --> 00:25:32,820
1127
+ ุงู„ stress ูŠุนู†ูŠ ู…ุงุชูƒุด ุชุชุญุฑูƒ ุงู†ุช ู…ุงุดูŠ ู…ู…ูƒู† ุญุชู‰ ูŠุตูŠุฑ
1128
+
1129
+ 283
1130
+ 00:25:32,820 --> 00:25:36,570
1131
+ ุนู†ุฏูƒ strains ุญุชุฉ ููŠ ุนุถู„ุงุช ุงูŠุฏูƒ ุชุดุฏ ุงูŠุฏูƒู†ุชูŠุฌุฉ ุงู„
1132
+
1133
+ 284
1134
+ 00:25:36,570 --> 00:25:42,090
1135
+ stress ู…ุงููŠุด stress ู…ุด ู‡ุชุดุฏ ุงู„ุนุถู„ุฉ ุตุญ ูุจุณูŠุฏูŠ
1136
+
1137
+ 285
1138
+ 00:25:42,090 --> 00:25:45,510
1139
+ tangential stress ููŠ ุนู„ุงู‚ุฉ tangential stress sigma
1140
+
1141
+ 286
1142
+ 00:25:45,510 --> 00:25:51,830
1143
+ tangential is a function of applied pressure ูˆู‡ุฐู‡
1144
+
1145
+ 287
1146
+ 00:25:51,830 --> 00:26:01,530
1147
+ ุงู„ relation is very well known ู…ุนุฑูˆูุฉ ูŠุนู†ูŠ ุงุฑูˆุญ
1148
+
1149
+ 288
1150
+ 00:26:01,530 --> 00:26:04,890
1151
+ ุนู„ู‰ ุงู„ thin plateุชุฑูˆุญ ุนู„ู‰ ุงู„ู€ mechanics of
1152
+
1153
+ 289
1154
+ 00:26:04,890 --> 00:26:07,270
1155
+ material ุฃูˆ advanced mechanics of material ุชูˆุฌุฏ
1156
+
1157
+ 290
1158
+ 00:26:07,270 --> 00:26:12,330
1159
+ ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„
1160
+
1161
+ 291
1162
+ 00:26:12,330 --> 00:26:17,790
1163
+ diaphragms ุงู„ diaphragms ุจุชูŠุฌูŠ ุนู„ู‰ ู†ูˆุนูŠู† ุจุชูŠุฌูŠ
1164
+
1165
+ 292
1166
+ 00:26:17,790 --> 00:26:23,900
1167
+ ุงู„ู„ูŠ ู‡ูŠ flat diaphragms ู‡ุฐุง ุงู„ู†ุธุงู…flat diaphragms
1168
+
1169
+ 293
1170
+ 00:26:23,900 --> 00:26:29,980
1171
+ ุงู„ู…ุตุฏุฑ ุงู„ุถุบุท ุงู„ุฎุงุฑุฌ ู…ู† ู‡ู†ุง ุจูŠุฌูŠ ุจูŠุตูŠุฑ ููŠู‡ุงุด ุชู‚ูˆุณ
1172
+
1173
+ 294
1174
+ 00:26:29,980 --> 00:26:34,780
1175
+ ู‡ุฐุง flat diaphragms ูˆ ููŠู‡ corrugated corrugated
1176
+
1177
+ 295
1178
+ 00:26:34,780 --> 00:26:41,000
1179
+ ุงูŠุด ูŠุนู†ูŠ corrugated ุจูŠุฌูŠ ุฒูŠ ู‡ูŠูƒ ูŠุนู†ูŠ ู…ุชุนุฑุฌ ุจูŠุฌูŠ
1180
+
1181
+ 296
1182
+ 00:26:41,000 --> 00:26:47,200
1183
+ ุงูŠุด ู…ุชุนุฑุฌ ู…ุตุฏุฑ ุงู„ุถุบุท ุจูŠูƒูˆู† ุฌุง ู…ู† ู‡ู†ุง ู…ุตุฏุฑ ุงู„ุถุบุท
1184
+
1185
+ 297
1186
+ 00:26:47,200 --> 00:26:53,510
1187
+ ู‡ู†ุง ุงู„ pressureุงู„ุงู† ู…ู† ุงุถุบุท ุงุฏุฎู„ force ู…ู† ู‡ู†ุง
1188
+
1189
+ 298
1190
+ 00:26:53,510 --> 00:27:00,590
1191
+ ู‡ูŠุฏุบุท ุนู„ู‰ ู‡ุฐุง ู‡ุณุชูŠุฑ ููŠู‡ ุงูŠุงุด ุฏูู„ูŠูƒุดู†
1192
+
1193
+ 299
1194
+ 00:27:00,590 --> 00:27:06,250
1195
+ ุฏูู„ูŠูƒุดู† ู„ุงุญุธูŠู† ุงู„ link ู‡ุฐู‡ ุฏุงูุฑุงู…
1196
+
1197
+ 300
1198
+ 00:27:06,250 --> 00:27:09,850
1199
+ ู‡ุฐุง
1200
+
1201
+ 301
1202
+ 00:27:09,850 --> 00:27:14,550
1203
+ ุตุญูŠุญ
1204
+
1205
+ 302
1206
+ 00:27:14,550 --> 00:27:16,690
1207
+ ุจุนุฏูŠู† ู…ู…ูƒู† ู†ุนู…ู„ ูƒุฐุง ุทุจู‚ุฉ ุทุจู‚ุงุช
1208
+
1209
+ 303
1210
+ 00:27:20,850 --> 00:27:26,150
1211
+ ุงู„ุงู† ู‡ุงูŠ ุนู†ุฏูŠ link ุจุชุญุฑูƒ ุงู„ link ู‡ุฐู‡ ูŠุนู†ูŠ ู‡ุฐู‡
1212
+
1213
+ 304
1214
+ 00:27:26,150 --> 00:27:34,010
1215
+ ู…ุจุงุดุฑุฉ ู‡ูŠ ุนู†ุฏูŠ ู…ุฑูƒุฒ ุฏูˆุฑุงู† ู„ุฃู† ููŠ ุนู†ุฏูŠ link ุฒูŠ ู‡ูŠูƒ
1216
+
1217
+ 305
1218
+ 00:27:34,010 --> 00:27:37,270
1219
+ ูˆุนู†ุฏูŠ
1220
+
1221
+ 306
1222
+ 00:27:37,270 --> 00:27:41,530
1223
+ link ุชุงู†ูŠุฉ ูˆุนู†ุฏูŠ
1224
+
1225
+ 307
1226
+ 00:27:41,530 --> 00:27:48,210
1227
+ ู‡ู†ุง ุฅูŠุด link ู‡ุฐู‡ ูˆููŠ ุทุฑูู‡ุง ุฅูŠุด centersุงู„ุงู† ู„ู…ุง
1228
+
1229
+ 308
1230
+ 00:27:48,210 --> 00:27:53,870
1231
+ ู†ุฒู„ุช ุงู„ุถุบุท ู‡ุฏู‰ ู‡ุชุฑูุน ุฏุงูุฑุงู… ู„ุฃุนู„ู‰ ู„ู…ุง ุชุฑูุน ุฏุงูุฑุงู…
1232
+
1233
+ 309
1234
+ 00:27:53,870 --> 00:27:59,990
1235
+ ู„ุฃุนู„ู‰ ู„ู‡ุฏู‰ ู‡ุชุฏูุน ู‡ุฏู‰ ู‡ูŠุทู„ุน ุฒูŠ ู‡ูŠูƒ ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฏู‰
1236
+
1237
+ 310
1238
+ 00:27:59,990 --> 00:28:04,170
1239
+ ู‡ุชู…ุดูŠ ู‡ุชุทู„ุน ู„ุฃุนู„ู‰ ุงู„ุงู† ู‡ู†ุง ููŠ ู„ุญุธุฉ ู‡ู†ุง ู…ุฑูƒุฒ ุฏูˆุฑุงู†
1240
+
1241
+ 311
1242
+ 00:28:04,170 --> 00:28:08,770
1243
+ ู‡ู†ุง ู‡ุฏู‰
1244
+
1245
+ 312
1246
+ 00:28:08,770 --> 00:28:14,060
1247
+ ู‡ุณูŠุฑ ุงู„ rotation ุจุนูƒุณ ุนู‚ุงุฑุจ ุงู„ุณุงุนุฉู‡ุฐุง ุงู„ุชุฑุณ ุงู„ุตุบูŠุฑ
1248
+
1249
+ 313
1250
+ 00:28:14,060 --> 00:28:18,520
1251
+ ุงู„ู„ู‰ ู…ุซุจุช ุนู„ูŠู‡ ุงู„ู…ุคุดุฑ ู‡ุตูŠุฑ rotation ู…ุนู‚ุงุฑ ุจุงู„ุณุงุนุฉ
1252
+
1253
+ 314
1254
+ 00:28:18,520 --> 00:28:29,180
1255
+ ู…ุนู†ุงู‡ ุงู„ู…ุคุดุฑ ุงูŠุด ู…ุนู„ู‡ ู‡ูŠุทู„ุน ุจู‚ูŠ ู†ู‚ุฑุฃู‡ ู„ู„ุถุบุท
1256
+
1257
+ 315
1258
+ 00:28:29,180 --> 00:28:36,560
1259
+ ููŠู‡
1260
+
1261
+ 316
1262
+ 00:28:36,560 --> 00:28:40,580
1263
+ ู‚ูุงุตูŠู„ ุทุจุนุง ุงุฐุง ูƒุงู† ุงู„ุฎู…ูŠู„ ูƒุชูŠุฑ ูˆ ู…ุด ูƒูˆูŠุณ
1264
+
1265
+ 317
1266
+ 00:28:43,240 --> 00:28:53,440
1267
+ ู…ุนุฏู†ู‰ ู…ุนุฏู†ู‰ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุทุงุท ุจุณ ุนู†ุฏูƒ ุญุณุงุณ ูƒุชูŠุฑ ูˆ ุงู„
1268
+
1269
+ 318
1270
+ 00:28:53,440 --> 00:28:58,520
1271
+ elastic range ุจุชุงุนู‡ ูƒุจูŠุฑ
1272
+
1273
+ 319
1274
+ 00:28:58,520 --> 00:29:04,800
1275
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… ู…ุทุงุท ุจุณ ุงูŠุด ุนุงูŠุฒ ู…ุทุงุท ุทุจุนุง ููŠ ู…ูŠุฒุฉ ูˆ
1276
+
1277
+ 320
1278
+ 00:29:04,800 --> 00:29:08,640
1279
+ ููŠ ุนูŠุจ ุงู„ู…ูŠุฒุฉ ุงู†ุง ู…ู…ูƒู† ุงู‚ูŠุต ุถุบูˆุท ู…ู†ุฎูุถุฉ ูƒุชูŠุฑ ู‡ุฐู‡
1280
+
1281
+ 321
1282
+ 00:29:08,640 --> 00:29:10,840
1283
+ ู…ูŠุฒุฉ ุงู„ุนูŠุจ
1284
+
1285
+ 322
1286
+ 00:29:12,180 --> 00:29:14,760
1287
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุงุนุชุจุฑู‡ ุนูŠุจ ู…ุด ุนูŠุจ ูŠุนู†ูŠ ุงู†ุง ุญุงู„ูŠุง ุงู†ุง
1288
+
1289
+ 323
1290
+ 00:29:14,760 --> 00:29:19,940
1291
+ computers ุงู„ุนูŠุจ ุงู†ู‡ ุนู„ุงู‚ุฉ ุงู„ stress ูˆ ุงู„ strain ู…ุด
1292
+
1293
+ 324
1294
+ 00:29:19,940 --> 00:29:25,320
1295
+ linear ู…ุน ุงู†ู‡ elastic ููŠ ุงู„ู…ุนุงุฏู† ุนู„ุงู‚ุฉ ุจูŠู† ุงู„
1296
+
1297
+ 325
1298
+ 00:29:25,320 --> 00:29:29,320
1299
+ stress ูˆ ุงู„ strain ู‡ุงูŠ ุฃุจุณู„ูˆู† ุณุฌู† ู‡ุฐุง ููŠ ุญุงู„ุฉ ุงู„
1300
+
1301
+ 326
1302
+ 00:29:29,320 --> 00:29:33,520
1303
+ metals ู…ุซู„ุง ููŠ ุงู„ elastic region ุงู„ุนู„ุงู‚ุฉ ูŠุงุด
1304
+
1305
+ 327
1306
+ 00:29:33,520 --> 00:29:40,880
1307
+ linear ุจุณู…ูŠู‡ linear elastic linear elastic
1308
+
1309
+ 328
1310
+ 00:29:43,470 --> 00:29:48,810
1311
+ ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ู…ุทุงุท ุจูŠูƒูˆู† ู‡ุงูŠ ุงู„ stress ู‡ุงูŠ ุงู„
1312
+
1313
+ 329
1314
+ 00:29:48,810 --> 00:29:56,250
1315
+ strain stress ุจูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ุงู„ .. ุงู„ ุนู„ุงู‚ุฉ elastic
1316
+
1317
+ 330
1318
+ 00:29:56,250 --> 00:30:06,210
1319
+ ุจุณ .. ุจุณ .. ุจุณ .. ุจุณ ู…ุด linear non linear elastic
1320
+
1321
+ 331
1322
+ 00:30:06,210 --> 00:30:09,970
1323
+ ูŠุนู†ูŠ
1324
+
1325
+ 332
1326
+ 00:30:09,970 --> 00:30:15,200
1327
+ ู„ูˆ ุดูŠู„ุช ุงู„ load ุนู„ูŠู‡ ุจุฑุฌุนุนุงุฏุฉ ููŠ ุฃุฌู‡ุฒุฉ .. ุนุงุฏุฉ ููŠ
1328
+
1329
+ 333
1330
+ 00:30:15,200 --> 00:30:19,660
1331
+ ุฃุฌู‡ุฒุฉ ุงู„ู‚ูŠุงุณ ุจูŠุดุชุบู„ูˆุง ุนู„ู‰ ุงู„ู„ูŠู†ูŠุฑุงุช ุงู† ูŠูƒูˆู†
1332
+
1333
+ 334
1334
+ 00:30:19,660 --> 00:30:24,940
1335
+ ุงู„ุนู„ุงู‚ุฉ Linear ู…ู…ูƒู† ุชุนู…ู„ ุฌู‡ุงุฒ ู…ุงู† Linear ุจุณ ุงู„
1336
+
1337
+ 335
1338
+ 00:30:24,940 --> 00:30:32,920
1339
+ design ุจุชุงุนู‡ ูˆ ุงู„ control ู‡ูŠูƒูˆู† ููŠู‡ ู…ูƒู„ุฌุน ุงู„ู…ุชุนุฑุฌ
1340
+
1341
+ 336
1342
+ 00:30:32,920 --> 00:30:37,560
1343
+ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰ ุจูŠุนุทูŠูƒ displacement ุฃุนู„ู‰
1344
+
1345
+ 337
1346
+ 00:30:37,560 --> 00:30:40,980
1347
+ ุงู„ู„ูŠ ู‡ู… sensible ุงูˆ measurable displacement ู…ู…ูƒู†
1348
+
1349
+ 338
1350
+ 00:30:40,980 --> 00:30:46,650
1351
+ ุชุนู…ู„ ุงุชุญุงุฏุซ ู„ูุฑู‚ุงู„ุงู† ุงู„ .. ุงู„ .. ุจุฑุถู‡ ุงู„ู…ุชุนุฑูุด
1352
+
1353
+ 339
1354
+ 00:30:46,650 --> 00:30:49,290
1355
+ ุจูŠุนุทูŠ strength ุจูŠุนุทูŠ moment of inertia ุงู„ section
1356
+
1357
+ 340
1358
+ 00:30:49,290 --> 00:30:54,870
1359
+ ุจูŠุตูŠุฑ ุฃุนู„ู‰ ูŠุนู†ู‰ ุงู†ุช ู„ูˆ
1360
+
1361
+ 341
1362
+ 00:30:54,870 --> 00:31:00,090
1363
+ ุฌุจุชู„ูƒ ู‚ุทุนุฉ ุจุนุฏูŠู† ู…ู…ูƒู† ุชู‚ูŠุณ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ู…ู…ูƒู† ุชู‚ูŠุณ
1364
+
1365
+ 342
1366
+ 00:31:00,090 --> 00:31:05,690
1367
+ ุงู„ุถุบูˆุท ุฃุนู„ู‰ ุงู„ู„ูŠ ู„ูˆ ุฃู†ุง ุฌุจุชู„ูƒ sheet flat sheet
1368
+
1369
+ 343
1370
+ 00:31:05,690 --> 00:31:11,530
1371
+ flat sheet ู‡ุงูŠ ุญุงู„ุฉ ุญุงู„ุฉ ุชุงู†ูŠุฉ ุจุณ ุฎู„ูŠู†ุง ู†ุงุฎุฏ ุจุณ
1372
+
1373
+ 344
1374
+ 00:31:11,530 --> 00:31:18,480
1375
+ ุจุนุถุฉ ูˆุงุญุฏุฉ ููŠู‡ุงู…ู…ูƒู† ุชุชุญู…ู„ ุงูƒุชุฑ ู‡ุฐูŠ ูˆู„ุง ู‡ุฐูŠ ูุงู†ุง
1376
+
1377
+ 345
1378
+ 00:31:18,480 --> 00:31:30,300
1379
+ ู†ุงุณูŠู‡ ููŠู‡ correction ุจุฎุชู„ู
1380
+
1381
+ 346
1382
+ 00:31:30,300 --> 00:31:35,820
1383
+ ุงู„ุฃุดูŠุงุก ุทูŠุจ ุนู„ู‰ ุงูŠ ุญุงู„ ููŠ ุชูุงุตูŠู„ ูƒุชูŠุฑุฉ ุจุณ ู‡ุฐู‡ ู‡ูŠ
1384
+
1385
+ 347
1386
+ 00:31:35,820 --> 00:31:39,900
1387
+ ุงู„ basic principle of diaphragm elastic diaphragms
1388
+
1389
+ 348
1390
+ 00:31:44,580 --> 00:31:49,660
1391
+ ู‡ุฐุง ุญุงูƒูŠ ุงู†ู‡ุง ูŠูุถู„ ุงู† ุงู„ู„ุงู‚ุฉ ุชูƒูˆู† ุงู„ .. ุงู„ .. ุงู„
1392
+
1393
+ 349
1394
+ 00:31:49,660 --> 00:31:52,180
1395
+ linear output ูŠุนู†ูŠ ุงูŠุด ูŠุนู†ูŠ linear output ูŠุนู†ูŠ ุงู„
1396
+
1397
+ 350
1398
+ 00:31:52,180 --> 00:31:56,620
1399
+ pressure ุจุชุบูŠุฑ linearly ู…ุน ุงู„ input ุงูŠุด ู‡ูˆ ุงู„
1400
+
1401
+ 351
1402
+ 00:31:56,620 --> 00:32:01,600
1403
+ input ุงู„ pressure ุงู„ input ู‡ูˆ ุงู„ pressure ุงู„
1404
+
1405
+ 352
1406
+ 00:32:01,600 --> 00:32:04,920
1407
+ output ุงูŠุด ู‡ูˆ ุญุณุจ
1408
+
1409
+ 353
1410
+ 00:32:06,030 --> 00:32:08,750
1411
+ ุฅุฐุง ูƒุงู†ุช mechanical movement ู‡ูŠ ุงู„ movement ุฃูˆ
1412
+
1413
+ 354
1414
+ 00:32:08,750 --> 00:32:12,050
1415
+ ุงู„ู…ุคุดุฑุŒ ุฅุฐุง ูƒุงู†ุช ุฏู‡ ุญูˆู„ ุงู„ electrical signalุŒ
1416
+
1417
+ 355
1418
+ 00:32:12,050 --> 00:32:15,030
1419
+ ุงู„ุชุบูŠุฑ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุฎุงุตูŠุฉ ุงู„ูƒู‡ุฑุจุงูŠุฉ ุณูˆุงุก ูƒุงู†ุช
1420
+
1421
+ 356
1422
+ 00:32:15,030 --> 00:32:18,170
1423
+ resistance ุฃูˆ voltage ุฃูˆ capacitance ุฃูˆ
1424
+
1425
+ 357
1426
+ 00:32:18,170 --> 00:32:22,610
1427
+ inductanceุŒ ุจุชุชุบูŠุฑ ุฅูŠุงุด linear
1428
+
1429
+ 358
1430
+ 00:32:26,450 --> 00:32:30,370
1431
+ ุงู„ุงู† ู„ุงุฒู… ุงูƒูˆู† ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุงู„ู„ู‰ ููŠู‡ ู‡ุฒูƒุฑ ุจุนุถ ุงู„
1432
+
1433
+ 359
1434
+ 00:32:30,370 --> 00:32:34,010
1435
+ design requirements ูŠุนู†ูŠ ุงู„ู…ุชุทู„ุจุงุช ุงู„ุชุตู…ูŠู… ุงู„ู„ู‰
1436
+
1437
+ 360
1438
+ 00:32:34,010 --> 00:32:38,890
1439
+ ู„ุงุฒู… ูŠุชูˆูุฑ ููŠ ุงู„ elastic diaphragms ุงูˆู„ุด ุงู„
1440
+
1441
+ 361
1442
+ 00:32:38,890 --> 00:32:42,510
1443
+ flexibility and thus sensitive pressure change
1444
+
1445
+ 362
1446
+ 00:32:42,510 --> 00:32:45,350
1447
+ ูŠุนู†ูŠ ู„ุงุฒู… ุชูƒูˆู† flexible ู…ุด ู„ุงุฒู… ุชูƒูˆู† ู†ุงุดูุฉ ุฌุงู…ุฏุฉ
1448
+
1449
+ 363
1450
+ 00:32:45,350 --> 00:32:49,950
1451
+ ููŠู‡ุง ู…ุฑูˆู†ุฉ and thus sensitive pressure change must
1452
+
1453
+ 364
1454
+ 00:32:49,950 --> 00:32:53,070
1455
+ provide diaphragm deflections that match the input
1456
+
1457
+ 365
1458
+ 00:32:53,070 --> 00:32:58,150
1459
+ range of the secondaryุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ูุนู„ุง ุณูŠูƒุงู†ุฏุฑ
1460
+
1461
+ 366
1462
+ 00:32:58,150 --> 00:33:05,970
1463
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูˆู„ ุชุฑุงู†ุฒูŠูˆุณุฑ ุงูŠุด ู‡ูˆ ุงู„ุบุดุงุก ุงู„ู„ูŠ ู‡ูˆ
1464
+
1465
+ 367
1466
+ 00:33:05,970 --> 00:33:10,290
1467
+ ุจูŠุณุชุฌูŠุจ ู„ุถุบุท ุถุบุท ุจุชุบูŠุฑ ุดูƒู„ู‡ ุตุญุŸ ุณูŠูƒุงู†ุฏุฑ
1468
+
1469
+ 368
1470
+ 00:33:10,290 --> 00:33:14,330
1471
+ ุงู„ุชุฑุงู†ุฒูŠูˆุณุฑ ู‡ูˆ ู…ุฌุฒ ุงูŠุด ูƒู‡ุฑุจุง ู…ู…ูƒู† ู†ุญุท string gauge
1472
+
1473
+ 369
1474
+ 00:33:14,330 --> 00:33:21,090
1475
+ ูŠุนู†ูŠ ุงู„ range ุงู„ู„ูŠ ุดุบุงู„ ุนู„ูŠู‡ ุงู„ diaphragm ูŠูƒูˆู†
1476
+
1477
+ 370
1478
+ 00:33:21,090 --> 00:33:27,200
1479
+ matching ู…ุน ุงู„ range ุงู„ุชุน ุงู„ string gaugeูŠุนู†ูŠ ุจุฏูŠุด
1480
+
1481
+ 371
1482
+ 00:33:27,200 --> 00:33:30,140
1483
+ ูˆุงู„ู„ู‡ ุงู†ุง ุงู„ string .. ุงู„ diaphragm ุจูŠุนู…ู„ู„ูŠ string
1484
+
1485
+ 372
1486
+ 00:33:30,140 --> 00:33:35,780
1487
+ .. ุจูŠุนู…ู„ู„ูŠ ุชุบูŠุฑ string ู…ุซู„ุง point ูˆุงุญุฏ ู„ูƒู† ุงู„
1488
+
1489
+ 373
1490
+ 00:33:35,780 --> 00:33:38,220
1491
+ string gauge ุจูŠุนุทูŠู†ูŠ point ุงูˆ ูˆุงุญุฏ ุงู„ range ุจุชุงุนู‡
1492
+
1493
+ 374
1494
+ 00:33:38,220 --> 00:33:42,580
1495
+ maximum ูุจุฏูŠูƒูˆู† matching ุจูŠู† ุงู„ primary ุงู„
1496
+
1497
+ 375
1498
+ 00:33:42,580 --> 00:33:46,860
1499
+ transducer ุงู„ู„ูŠ ู‡ูˆ ุงู„ diaphragm ูˆ ุงู„ range ุจุชุงุน ุงู„
1500
+
1501
+ 376
1502
+ 00:33:46,860 --> 00:33:49,000
1503
+ secondary ุงู„ transducer ุงู„ู„ูŠ ู‡ูˆ ุจูŠุนุทูŠู†ุง ุงู„ signal
1504
+
1505
+ 377
1506
+ 00:33:49,000 --> 00:33:50,460
1507
+ ุงู„ู†ู‡ูŠุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู†ุง ุจู‚ูŠุณู‡ุง
1508
+
1509
+ 378
1510
+ 00:33:53,250 --> 00:33:55,830
1511
+ ุงู„ู€ nature frequency ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู…
1512
+
1513
+ 379
1514
+ 00:33:55,830 --> 00:33:57,710
1515
+ should be sufficiently high to provide
1516
+
1517
+ 380
1518
+ 00:33:57,710 --> 00:34:00,670
1519
+ satisfactory frequency response ู„ุงุฒู… ุงู„ุชุฑุฏุฏ
1520
+
1521
+ 381
1522
+ 00:34:00,670 --> 00:34:08,070
1523
+ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† ุนุงู„ูŠ ูƒุชูŠุฑ ู‡ุฐุง ุทุจุนุง ุงู„ู…ุนู„ูˆู…ุฉ ู…ู‡ู…ุฉ ูƒุชูŠุฑ
1524
+
1525
+ 382
1526
+ 00:34:08,070 --> 00:34:11,230
1527
+ ููŠ ุญุงู„ุฉ ุงุฐุง ุนู†ุฏูƒ dynamic pressure change ุงูŠุด ูŠุนู†ูŠ
1528
+
1529
+ 383
1530
+ 00:34:11,230 --> 00:34:15,670
1531
+ dynamic pressure change ูŠุนู†ูŠ ู…ุตุฏุฑ ุงู„ุถุบุท ุจุชุบูŠุฑ ูƒุชูŠุฑ
1532
+
1533
+ 384
1534
+ 00:34:15,670 --> 00:34:24,350
1535
+ ุจุชุบูŠุฑ ูƒุชูŠุฑ ูˆุจุดูƒู„ ุณุฑูŠุน ุงุฐุง ูƒุงู† ุชุฑุฏุฏ ู…ุตุฏุฑ ุงู„ุถุบุทูƒุงู†
1536
+
1537
+ 385
1538
+ 00:34:24,350 --> 00:34:30,350
1539
+ ู‚ุฑูŠุจ ุงูˆ ุจูŠุณุงูˆูŠ ุงู„ nature frequency ุงูˆู„ .. ุงูˆู„
1540
+
1541
+ 386
1542
+ 00:34:30,350 --> 00:34:34,510
1543
+ nature frequency ู„ู„ .. ู„ู„ diaphragm ุจูŠุตูŠุฑ ู…ุง ูŠุณู…ู‰
1544
+
1545
+ 387
1546
+ 00:34:34,510 --> 00:34:41,070
1547
+ ุนู†ุฏูŠ ุธุงู‡ุฑุฉ ุงู„ุฑู†ูŠู† ู„ู…ุง ุงู„ nature frequency ูŠุนู†ูŠ ุงู„
1548
+
1549
+ 388
1550
+ 00:34:41,070 --> 00:34:46,290
1551
+ .. ุงู„ .. ุงู„ external ุงู„ู„ูŠ
1552
+
1553
+ 389
1554
+ 00:34:46,290 --> 00:34:54,770
1555
+ ู‡ูˆ ุงู„ omega ุชุฑุฏุฏ ู„ู„ู…ุตุฏุฑ ุงู„ุฎุงุฑุฌูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุทุจูŠูƒูˆู†
1556
+
1557
+ 390
1558
+ 00:34:54,770 --> 00:34:59,730
1559
+ ุชู‚ุฑูŠุจุง ูŠุณุงูˆูŠ ุงู„ุชุฑุฏุฏ ุงู„ุทุจูŠุนูŠ ู„ู„ุฏูŠุงูุฑุงู… ุจูŠุตูŠุฑ ุนู†ุฏ
1560
+
1561
+ 391
1562
+ 00:34:59,730 --> 00:35:05,550
1563
+ ุงูŠู‡ ุงุดุŸ ุจูŠุตูŠุฑ ุนู†ุฏ ูˆ ุงู„ุถุบุท ุจุชุบูŠุฑ ุจูŠุตูŠุฑ ุนู†ุฏ ุงู„
1564
+
1565
+ 392
1566
+ 00:35:05,550 --> 00:35:08,390
1567
+ amplitude ุจูŠุตูŠุฑ ูŠุชุตุฑู ุจุดูƒู„ ุฌู†ูˆู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1568
+
1569
+ 393
1570
+ 00:35:08,390 --> 00:35:11,370
1571
+ diaphragm ุจูŠุตูŠุฑ ูŠุทู„ุน ูŠุตูŠุฑ ูŠุจู‚ู‰ ูŠุนู…ู„ deflections
1572
+
1573
+ 394
1574
+ 00:35:11,370 --> 00:35:15,110
1575
+ high deflections ุจูŠุตูŠุฑ ุงู„ amplitude ุงู„ amplitude
1576
+
1577
+ 395
1578
+ 00:35:15,110 --> 00:35:19,270
1579
+ of
1580
+
1581
+ 396
1582
+ 00:35:19,270 --> 00:35:20,370
1583
+ diaphragm
1584
+
1585
+ 397
1586
+ 00:35:26,470 --> 00:35:31,910
1587
+ deflection is getting too
1588
+
1589
+ 398
1590
+ 00:35:31,910 --> 00:35:35,970
1591
+ high ู…ู…ูƒู†
1592
+
1593
+ 399
1594
+ 00:35:35,970 --> 00:35:39,830
1595
+ ูŠุนู…ู„ failure ู„ู„ุฌู‡ุงุฒ
1596
+
1597
+ 400
1598
+ 00:35:39,830 --> 00:35:49,730
1599
+ ุงุฐุง ูƒู†ุช ุทุงู„ุน ุนู„ู‰ ุงู„ู…ูˆุถูˆุน ุงู„ resonance ู‚ุดุนูˆุง
1600
+
1601
+ 401
1602
+ 00:35:49,730 --> 00:35:54,140
1603
+ ุนู„ู‰ ูŠูˆุชูŠูˆุจ ุงูƒุชุจูˆุง resonanceู‡ุชุดูˆููˆุง ุฃู…ุซู„ุฉ ุงู„ู„ูŠ
1604
+
1605
+ 402
1606
+ 00:35:54,140 --> 00:35:56,640
1607
+ ุนู†ุฏูƒูˆุง ุงู„ gesture ููŠ American Heart ุจุณุจุจ ุงู„ู…ุดูƒู„ุฉ
1608
+
1609
+ 403
1610
+ 00:35:56,640 --> 00:36:00,420
1611
+ ู‡ุฐู‡ ูŠุนู†ูŠ ููŠ ูƒุฐุง ููŠุฏูŠูˆ ู‡ุชุดูˆููˆุง ุนู† ู…ูˆุถูˆุน ุงู„
1612
+
1613
+ 404
1614
+ 00:36:00,420 --> 00:36:06,040
1615
+ resonance ุงู†ุช
1616
+
1617
+ 405
1618
+ 00:36:06,040 --> 00:36:09,640
1619
+ ู…ุง ู‡ูˆ ุงู†ุช ุงุดููŠ ุนู†ุฏูƒ .. ุนู†ุฏูƒ ุงูŠ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง .. ุงูŠ
1620
+
1621
+ 406
1622
+ 00:36:09,640 --> 00:36:11,980
1623
+ ุฌุณู… ููŠ ุงู„ุฏู†ูŠุง ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ุงู†ุช ุญุชู‰
1624
+
1625
+ 407
1626
+ 00:36:11,980 --> 00:36:17,260
1627
+ ุฌุณู…ูƒ ุงู„ู„ูŠ ู„ู‡ ุชุฑุฏุฏุงุช ุทุจูŠุนูŠุฉ .. ู‡ุชู‚ูˆู„ู‡ infinite
1628
+
1629
+ 408
1630
+ 00:36:17,260 --> 00:36:22,080
1631
+ number of .. infinite number of frequenciesุงู„ุงู†
1632
+
1633
+ 409
1634
+ 00:36:22,080 --> 00:36:27,320
1635
+ ุงู‚ู„ frequency ุงู„ู„ูŠ ู‡ูˆ Omega 1 ูˆ Omega 2 ูˆ Omega 3
1636
+
1637
+ 410
1638
+ 00:36:27,320 --> 00:36:31,740
1639
+ ุทุจุนุง ู…ุซู„ุง ุงุฐุง Omega 1 ู…ุซู„ุง ุงู„ู ู‡ูŠุฑุฏุฒ Omega 2 ุจุชูƒูˆู†
1640
+
1641
+ 411
1642
+ 00:36:31,740 --> 00:36:35,980
1643
+ ู…ุด ุงู„ููŠู† ุจุชูƒูˆู† ู…ุซู„ุง ุนุดุฑ ุชู„ุงู ุงุฐุง Omega ุงุชู†ูŠู† ุนุดุฑ
1644
+
1645
+ 412
1646
+ 00:36:35,980 --> 00:36:39,900
1647
+ ุชู„ุงู Omega ุชู„ุงุชู‡ ุจุชูƒูˆู† ู…ุซู„ุง ู…ู„ูŠูˆู† ูˆู„ุง ุนุดุฑุฉ ู…ู„ูŠูˆู†
1648
+
1649
+ 413
1650
+ 00:36:39,900 --> 00:36:44,250
1651
+ ูŠุนู†ูŠ ุงู„ูุฑู‚ ุจูŠู† Omega 1 ูˆ Omega 2ุจูŠู† omega 2 ูˆ
1652
+
1653
+ 414
1654
+ 00:36:44,250 --> 00:36:49,090
1655
+ omega 1 ุจูŠูƒูˆู† ูƒุจูŠุฑ ุจูŠู† omega 3 ูˆ omega 2 ูƒุจูŠุฑ ูƒุชูŠุฑ
1656
+
1657
+ 415
1658
+ 00:36:49,090 --> 00:36:54,070
1659
+ ูˆู‡ูƒุฐุง ุจุฒูŠุฏ ุงู„ูุฑู‚ ูุนุงุฏุฉ ุงู†ุช ุจุฏู‡ ุชูƒูˆู† below ุงู„ first
1660
+
1661
+ 416
1662
+ 00:36:54,070 --> 00:36:56,290
1663
+ natural frequency ูŠุนู†ูŠ ุงู†ุช ุงูŠุด ู…ุชุณุงูˆูŠุŸ ูŠุง ุงู…ุง
1664
+
1665
+ 417
1666
+ 00:36:56,290 --> 00:36:59,550
1667
+ ุจุชูƒูˆู† below ุงู„ first natural frequency ุงูˆ ุงู„
1668
+
1669
+ 418
1670
+ 00:36:59,550 --> 00:37:03,370
1671
+ fundamental frequency ุงูˆ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุณ ุนุดุงู†
1672
+
1673
+ 419
1674
+ 00:37:03,370 --> 00:37:07,050
1675
+ ุชุตุนุฏ ุจูŠู† ุงู„ุฃูˆู„ ูˆุงู„ุชุงู†ูŠ ุจุฏูƒ ุณุฑุนุงุช ุนุงู„ูŠุฉ ุฌุฏุง ุฌุฏุง ุฌุฏุง
1676
+
1677
+ 420
1678
+ 00:37:07,050 --> 00:37:11,780
1679
+ ุชุญูƒูŠ ุจุงู„ .. ุจุงู„ ุฌูŠุฌุงู‡ุฑุชุฒ ุงูˆ ุงู„ megahertzุนุงุฏุฉ ุจุชูƒูˆู†
1680
+
1681
+ 421
1682
+ 00:37:11,780 --> 00:37:15,440
1683
+ ุฃู‚ู„ ุงู„ resonance ู‡ุฐู‡ ู…ุดูƒู„ุฉ ูƒุจูŠุฑุฉ ููŠ ุงู„ machines
1684
+
1685
+ 422
1686
+ 00:37:15,440 --> 00:37:18,940
1687
+ ุจุชุธู‡ุฑ
1688
+
1689
+ 423
1690
+ 00:37:18,940 --> 00:37:25,040
1691
+ ูŠุนู†ูŠ ุงู†ุง ุงู†ุตุญ ุชุฎุดูˆุง ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ูˆุฏูˆุฑูˆุง ู‡ุชุดูˆููˆุง
1692
+
1693
+ 424
1694
+ 00:37:25,040 --> 00:37:28,020
1695
+ ูŠุนู†ูŠ ุนุดุฑุงุช ููŠุฏูŠูˆู‡ุงุช ุนู† ู…ุดุงูƒู„ ููŠ ุงู„ resonance ู…ุงู†ุง
1696
+
1697
+ 425
1698
+ 00:37:28,020 --> 00:37:33,560
1699
+ ู‚ุฑุฃู‡ ุจุงู„ gas turbine ู‡ุฐุง ููŠู‡ ู‡ูˆ ู‚ุฑุงุฏุฉ ู…ุนูŠู†ุฉ ู„ู‡
1700
+
1701
+ 426
1702
+ 00:37:35,110 --> 00:37:38,210
1703
+ ุงู„ุชุฑุจูŠู†ุฉ ุจูŠุณู…ูˆู‡ุง ุญุงุฌุฉ ุชุดุฎุฑุŒ ุดุฎูŠุฑ ุจูŠุณู…ูˆู‡ุงุŒ ุจูŠุทู„ุตูˆุง
1704
+
1705
+ 427
1706
+ 00:37:38,210 --> 00:37:40,210
1707
+ ุฎุงุฑุฌ ุงู„ุชุฑุจูŠู†ุฉ ูˆ ู‡ู… ุจู‚ู‰ ู†ุทู‚ูˆุงุŒ ุจุชุฌุงูˆุฒูˆุง ุงู„ู…ุฑุญู„ุฉ ุฏู‡ุŒ
1708
+
1709
+ 428
1710
+ 00:37:40,210 --> 00:37:44,790
1711
+ ู‡ู… ุจูŠุญุจูˆุง ุชูƒุดู .. ุงูŠูˆุฉุŒ ูŠุง ุณูŠ ๏ฟฝ๏ฟฝุฑุงู‡ุงุŒ ูŠุง ุชุญุชู‡ุงุŒ ูŠุง
1712
+
1713
+ 429
1714
+ 00:37:44,790 --> 00:37:48,450
1715
+ ุชุญุชู‡ุง ุจูƒุชูŠุฑุŒ ุงู‚ู„ุด ุงู„ุนุดุฑุŒ ุงู„ frequency ุงู„ุฎุงุฑุฌูŠ
1716
+
1717
+ 430
1718
+ 00:37:48,450 --> 00:37:52,710
1719
+ ุจูŠูƒูˆู† ูˆุงุญุฏ ุนู„ู‰ ุนุดุฑูŠู†ุŒ ู…ุด ุงู„ุนุดุฑุŒ ุชู‚ุฑูŠุจุงุŒ ุนุดุงู† ุงู†ู‡ู…
1720
+
1721
+ 431
1722
+ 00:37:52,710 --> 00:37:56,970
1723
+ ุตูˆุฑุฉ ุงู„ุชุฑุจูŠู†ุฉ ุจุดูƒู„ ุนุงู„ูŠ ูƒุซูŠุฑุŒ ุงูŠูˆุฉุŒ ูุงู„ุชุฑุจูŠู†ุฉ ุนุงุฏุฉ
1724
+
1725
+ 432
1726
+ 00:37:56,970 --> 00:37:59,750
1727
+ ุจุชูƒูˆู† ุชุญุช ุงู„ nature frequencyุŒ ู„ุฃู† ู‡ูˆ ุจูŠูƒูˆู† ู…ู† ุดูƒู„
1728
+
1729
+ 433
1730
+ 00:37:59,750 --> 00:38:03,170
1731
+ ุงู„ .. ุงู„ .. ูŠุนู†ูŠ ุงู„ .. ุงู„ nature frequency ุจูŠุชู…ุฏ
1732
+
1733
+ 434
1734
+ 00:38:03,170 --> 00:38:07,990
1735
+ ุนู„ู‰ ุงู„ geometryู„ู„ .. ู„ุฃูŠ ุฌุณู… ุงู„ geometry ุจุชุงุนุชู‡
1736
+
1737
+ 435
1738
+ 00:38:07,990 --> 00:38:13,130
1739
+ ูˆุงู„ material ุจุชุงุนุชู‡ ุจุชุชู…ุฏ ุนู„ู‰ ุงู„ุชู†ุชูŠู† ู…ุซู„ุง ูƒุฏู‡ ุงู„
1740
+
1741
+ 436
1742
+ 00:38:13,130 --> 00:38:16,550
1743
+ diaphragm ุจูŠู‚ุฏุฑ ูŠุชุญู…ู„ ุงู„ุชุฑุฏุฏ ุงู„ุนุงู„ูŠ ูƒุฏู‡ ุชู‚ูˆู„ ุงู†ูƒ
1744
+
1745
+ 437
1746
+ 00:38:16,550 --> 00:38:19,830
1747
+ ุฌุงูŠุฉ ู…ู† ุงู„ุฎุถุฑ ุงุณู…ู‡ ุงู„ุชุฑุฏุฏ ุฃุฌุงู„ูƒุŸ ู„ุฃ ุนุงุฏุฉ ุจุชูƒูˆู† ู„ุฃ
1748
+
1749
+ 438
1750
+ 00:38:19,830 --> 00:38:22,570
1751
+ ุจุชูƒูˆู† ุจ low natural frequency ูŠุนู†ูŠ ููŠ ุงู„ุนุงุฏุฉ ุจุชูƒูˆู†
1752
+
1753
+ 439
1754
+ 00:38:22,570 --> 00:38:25,830
1755
+ ุฃุฌุงู„ูƒ ู…ุงุฎุฏุด ุงู„ุฃุนู„ู‰ ู„ุฃ ู„ุฃู†ู‡ุง ู‡ุชุฎุด ูุฑู†ุฌุงุช ุนุงู„ูŠุฉ ูƒุชูŠุฑ
1756
+
1757
+ 440
1758
+ 00:38:25,830 --> 00:38:29,990
1759
+ ูƒุชูŠุฑ ูƒุชูŠุฑ ู…ุด ู‡ุชู‚ุฏุฑ ุนู…ู„ูŠู† ุชุนู…ู„ู‡ุง ุงู‡ ุจุงู„ู†ุณุจุฉ ู„ู„
1760
+
1761
+ 441
1762
+ 00:38:29,990 --> 00:38:33,510
1763
+ flexibility ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠู†ุง ุงู„ู…ุนุฏุฏ is flexible
1764
+
1765
+ 442
1766
+ 00:38:33,510 --> 00:38:37,630
1767
+ ุงู„ู…ุนุฏุฏูู‰ ุทุจุนุง ูู‰ ู…ู‚ุนุฏูŠู† flexible flexible ูˆ linear
1768
+
1769
+ 443
1770
+ 00:38:37,630 --> 00:38:42,530
1771
+ ู…ู‚ุนุฏูŠู† flexible ูุชุชุญูƒู… ููŠู‡ุง ููŠุงุด ูƒู…ุงู† ุจุงู„
1772
+
1773
+ 444
1774
+ 00:38:42,530 --> 00:38:53,650
1775
+ thickness ุณู…ุงูƒุฉ ู„ุฅู†ู‡ ุงู†ุง ุนู†ุฏู‰ ู„ูˆ ุฃุฎุฏู†ุง ุจุงุฑ ู…ู‚ุทุน
1776
+
1777
+ 445
1778
+ 00:38:53,650 --> 00:38:59,930
1779
+ ุงูŠู‡ ุนู„ูŠู‡ force Fูˆ ุฃู†ุง ููŠ ุงู„ู€ elastic region ุงู„ู€
1780
+
1781
+ 446
1782
+ 00:38:59,930 --> 00:39:03,470
1783
+ sigma ุจุชุงุนุชู‡ ุงู„ stress ู…ุด ู‡ุชูƒูˆู† ุณุงูˆูŠ ุจุงู„ุณูˆุงุก F ุนู„ู‰
1784
+
1785
+ 447
1786
+ 00:39:03,470 --> 00:39:12,990
1787
+ A ุจุงู„ุณูˆุงุก E ููŠ ุฃุจุณู„ูˆู† ูŠุนู†ูŠ
1788
+
1789
+ 448
1790
+ 00:39:12,990 --> 00:39:17,630
1791
+ F ุนู„ู‰ A ุจุงู„ุณูˆุงุก E ุฃุจุณู„ูˆู† ู‡ูŠ ุนุจุงุฑุฉ ุนู† Delta
1792
+
1793
+ 449
1794
+ 00:39:17,630 --> 00:39:20,130
1795
+ Deflection ุนู„ู‰ L
1796
+
1797
+ 450
1798
+ 00:39:25,890 --> 00:39:36,790
1799
+ ูŠุนู†ูŠ ุงู„ F ู‡ุชูƒูˆู† ุชุณุงูˆูŠ A A ุนู„ู‰ N ููŠ Delta ู„ูˆ
1800
+
1801
+ 451
1802
+ 00:39:36,790 --> 00:39:42,610
1803
+ ุนู†ุฏู‰ ุฒู…ุจุฑูƒ ุนู„ุงู‚ุฉ ุงู„ extension ู…ุน ุงู„ force ุฒู…ุจุฑูƒ F
1804
+
1805
+ 452
1806
+ 00:39:42,610 --> 00:39:51,640
1807
+ ุจูŠุณุงูˆูŠ ุงูŠุดุŸ K ููŠ X ูŠุนู†ูŠ ู„ูˆ ู‡ุฏ ุญูƒูŠุช ู‡ุฏ F ู‡ุฏ Xู‡ุฐุง
1808
+
1809
+ 453
1810
+ 00:39:51,640 --> 00:39:57,200
1811
+ ุงูŠุด ู‡ุชูƒูˆู†ุŸ K ูุง ูƒู†ุง ู†ุนุชุจุฑู‡ ุงู†ุง ุฒู†ุจุฑูƒ ุงู†ู‡ .. ู‡ุฐุง ู‡ูˆ
1812
+
1813
+ 454
1814
+ 00:39:57,200 --> 00:40:05,200
1815
+ ูุนู„ุง ุฒู†ุจุฑูƒ K ุจุชุงุนุชู‡ ุจุงู„ุณูˆุงุก A E ุนู„ู‰ L ุจู†ูุณ ุงู„ุณูŠุงู‚
1816
+
1817
+ 455
1818
+ 00:40:05,200 --> 00:40:11,720
1819
+ ู„ูˆ ูƒุงู† ุนู†ุฏูŠ membrane ู‡ุชูƒูˆู†ู„ู‡ .. ุฅู„ู‡ K ุงู„ K ุจูŠุชู…ุฏ
1820
+
1821
+ 456
1822
+ 00:40:11,720 --> 00:40:19,640
1823
+ ุนู„ู‰ ุงู„ geometry ู‡ุฐู‡ ุงู„ geometryูˆ ุงู„ material ุงู„ a
1824
+
1825
+ 457
1826
+ 00:40:19,640 --> 00:40:23,120
1827
+ ุงู„ู„ูŠ ู‡ูŠ modulus of elasticity ูŠุนู†ูŠ ุงู„ a ู…ู…ูƒู† ูŠุนุจุฑ
1828
+
1829
+ 458
1830
+ 00:40:23,120 --> 00:40:27,320
1831
+ ุนู† ุฒู…ุจุฑุงูƒูŠุฉ ุงู„ู…ุงุฏุฉ how stiff a spring the material
1832
+
1833
+ 459
1834
+ 00:40:27,320 --> 00:40:31,320
1835
+ is ู…ู…ูƒู† ุฅุฐุง ุงู„ material too stiff ูุงู†ุช ุชุจู‚ู‰ ุนู†ู‡
1836
+
1837
+ 460
1838
+ 00:40:31,320 --> 00:40:34,900
1839
+ ุฒู…ุจุฑุฉ ู‚ูˆ ุฌุฏุง .. ู‚ูˆ ุฌุฏุง ุจุณ ู„ูƒู† ู„ูŠุณ ูู‚ุท .. ู„ูŠุณ ูู‚ุท
1840
+
1841
+ 461
1842
+ 00:40:34,900 --> 00:40:38,580
1843
+ ุงู„ material ุงู„ material ุฃุญุฏ ุงู„ู…ุคุซุฑุงุชุŒ ู…ุคุซุฑุงุช ุชุงู†ูŠุฉ
1844
+
1845
+ 462
1846
+ 00:40:38,580 --> 00:40:43,430
1847
+ ุฃูŠุดุŸุงู„ุฌูŠูˆู…ุชุฑูŠ ุงู„ู€ cross-sectional area ุงูˆ ุงู„ู„ูŠ ู‡ูŠ
1848
+
1849
+ 463
1850
+ 00:40:43,430 --> 00:40:48,430
1851
+ ุทุจุนุง ู„ุฑุฏ ู„ flat plate ุจุฎุชู„ู ุจุงู„ู„ูŠ ุงู„ู„ูŠ ู„ู‡ equation
1852
+
1853
+ 464
1854
+ 00:40:48,430 --> 00:40:52,810
1855
+ ุชุงู†ูŠุฉ ุจุณ ู‡ุงูŠ ุงู„ principle ุจุชุญูˆู„ ุงู„ู„ูŠ ูŠู„ู‚ู‰ ุจูŠู† ุงู„
1856
+
1857
+ 465
1858
+ 00:40:52,810 --> 00:40:57,310
1859
+ deflection ูˆ ุงู„ force ุจุงู„ุดูƒู„ ู‡ุฐุง ู‡ูŠ F ูˆ Delta ูˆ
1860
+
1861
+ 466
1862
+ 00:40:57,310 --> 00:41:01,050
1863
+ ุจูŠุทู„ุน ุนู†ุฏูƒ some term ุจุฎุชู„ู ููŠ ุงู„ plate ู‡ูˆ ุทุจุนุง
1864
+
1865
+ 467
1866
+ 00:41:01,050 --> 00:41:03,130
1867
+ ูŠู…ุซู„ุนุด ุงู„ spring constant
1868
+
1869
+ 468
1870
+ 00:41:12,560 --> 00:41:17,440
1871
+ ุทุจุนุง deflection of flat plate
1872
+
1873
+ 469
1874
+ 00:41:17,440 --> 00:41:23,360
1875
+ diaphragm ูŠุนู†ูŠ
1876
+
1877
+ 470
1878
+ 00:41:23,360 --> 00:41:30,900
1879
+ ู…ุด ู…ุณู…ูˆุญ ู„ูƒ ุชุชุฌุงูˆุฒ ุญุฏ ู…ุนูŠู† ู…ู† ุงู„ stress ูŠุนู†ูŠ ู…ุด
1880
+
1881
+ 471
1882
+ 00:41:30,900 --> 00:41:35,280
1883
+ ู…ุณู…ูˆุญ ู„ูƒ ุจุจุณุงุทุฉ ุชุฏุฎู„ ุงู„ plastic range ูŠุนู†ูŠ ุงู„ุฌู‡ุงุฒ
1884
+
1885
+ 472
1886
+ 00:41:35,280 --> 00:41:39,400
1887
+ ู‡ุฐุง ู…ุตู…ู… ูŠู‚ูŠุณ ุงู„ุถุบุท ู„ุญุฏ ู…ุงุฆุฉ ู…ูŠุฌุงุจุงุณูƒุงู„ ุฅุฐุง ุญุทูŠุช
1888
+
1889
+ 473
1890
+ 00:41:39,400 --> 00:41:43,720
1891
+ pressure ู…ุงุฆุชูŠู† ู…ูŠุฌุงุจุงุณูƒุงู„ุนุงู„ุฃุบู„ุจ ู‡ุตูŠุฑ out of
1892
+
1893
+ 474
1894
+ 00:41:43,720 --> 00:41:47,100
1895
+ range ูŠุนู†ูŠ ุฏู‡ ู…ุนู†ุงุชู‡ ุฏุฎู„ุช ุฏุฎู„ุช ููŠ ุงู„ plastic range
1896
+
1897
+ 475
1898
+ 00:41:47,100 --> 00:41:52,920
1899
+ ุงู„ู„ูŠ ู„ูŠู…ุช ู…ุนูŠู† ุทุจุนุง as a general rule ุงู„ max
1900
+
1901
+ 476
1902
+ 00:41:52,920 --> 00:41:56,080
1903
+ deflection ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ ..
1904
+
1905
+ 477
1906
+ 00:41:56,080 --> 00:42:03,500
1907
+ ุงู„ deflection ููŠ ุงู„ membrane ู…ุด ู„ุงุฒู… ูŠุฒูŠุฏ ุงูˆ ูŠูƒูˆู†
1908
+
1909
+ 478
1910
+ 00:42:03,500 --> 00:42:07,710
1911
+ ููŠ ุญุฏูˆุฏ ุชู„ุงุชูŠู† ููŠ ุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ุฏุงุฆูุฑุงู†ุจูƒูˆู†
1912
+
1913
+ 479
1914
+ 00:42:07,710 --> 00:42:15,530
1915
+ ุชู„ุงุชูŠู† ูุงู„ู…ูŠุฉ ู…ู† ุณู…ุงูƒุฉ ุงู„ diaphragm ู‡ุฐุง as a
1916
+
1917
+ 480
1918
+ 00:42:15,530 --> 00:42:19,170
1919
+ general rule ุทุจุนุง ู‡ุฐุง general rule ุจูŠุถู…ู†ู„ูŠ ุจูŠุถู…ู†ู„ูŠ
1920
+
1921
+ 481
1922
+ 00:42:19,170 --> 00:42:22,450
1923
+ ุงู† ุงู†ุง ุงุถุงู„ู†ูŠ ููŠ ุงู„ elastic region ู…ุงุฏุฎู„ุด ุงู„
1924
+
1925
+ 482
1926
+ 00:42:22,450 --> 00:42:28,550
1927
+ plastic region ุทูŠุจ
1928
+
1929
+ 483
1930
+ 00:42:28,550 --> 00:42:31,230
1931
+ ููŠ ู†ูˆุน ุชุงู†ูŠ ู…ู† ุงู„ strain gauges
1932
+
1933
+ 484
1934
+ 00:42:37,470 --> 00:42:42,590
1935
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ strain gauge pressure
1936
+
1937
+ 485
1938
+ 00:42:42,590 --> 00:42:50,210
1939
+ cells ููƒุฑุชู‡ุง
1940
+
1941
+ 486
1942
+ 00:42:50,210 --> 00:42:57,450
1943
+ ููƒุฑุฉ ุงู„ strain gauge pressure cells ุทูŠุจ
1944
+
1945
+ 487
1946
+ 00:42:57,450 --> 00:43:06,150
1947
+ ุจุณ ู„ู„ุฃู„ู… ู…ุด ู‡ุทู„ุจ ู…ู†ูƒู… ุฅุฐุง ูƒู†ุชูˆุง ู‚ุตุทูˆุงู†ุฉ ุฌูˆุงุชู‡ุง ุถุบุท
1948
+
1949
+ 488
1950
+ 00:43:07,170 --> 00:43:09,610
1951
+ ููŠู‡ ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ููŠู‡ ุถุบุท ู…ู† ุจุฑุง ุงุญู†ุง ุญุงู„ุชู†ุง ู‡ูŠูƒูˆู†
1952
+
1953
+ 489
1954
+ 00:43:09,610 --> 00:43:15,630
1955
+ ุถุบุท ุฅูŠุดุŸ ู…ู† ุฌูˆู‡ุŒ ูŠุนู†ูŠ ุถุบุท ุฎุงุฑุฌ ุดูˆ ูŠุณุงูˆูŠุŸ zero ุฅุฐุง
1956
+
1957
+ 490
1958
+ 00:43:15,630 --> 00:43:20,050
1959
+ ูƒุงู† ุถุบุท ุฎุงุฑุฌ ุงู„ zero in general case in general
1960
+
1961
+ 491
1962
+ 00:43:20,050 --> 00:43:23,770
1963
+ case ุจูŠูƒูˆู† ุถุบุท ู…ู† ุฌูˆู‡ ูˆ ุถุบุท ู…ู† ุจุฑุง ุถุบุท ู…ู† ุฌูˆู‡ ูˆ
1964
+
1965
+ 492
1966
+ 00:43:23,770 --> 00:43:27,050
1967
+ ุถุบุท ู…ู† ุจุฑุง ู„ุฃู† ู†ุชูŠุฌุฉ ุงู„ุถุบุท ุจูŠุตูŠุฑ ุนู†ุฏูŠ tangential
1968
+
1969
+ 493
1970
+ 00:43:27,050 --> 00:43:30,770
1971
+ ููŠ ุงู„ .. ูŠุนู†ูŠ ุนู†ุฏูŠ high radius ุฏุงุฎู„ ูˆ high radius
1972
+
1973
+ 494
1974
+ 00:43:30,770 --> 00:43:35,770
1975
+ ุฎุงุฑุฌูŠ ุจูŠุตูŠุฑ .. ุจูŠุตูŠุฑ ุนู†ุฏูŠ stress tangential
1976
+
1977
+ 495
1978
+ 00:43:37,330 --> 00:43:43,370
1979
+ ูˆ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ radial stress radial stress ุงุญู†ุง
1980
+
1981
+ 496
1982
+ 00:43:43,370 --> 00:43:46,250
1983
+ ุจูŠุจู‚ู‰ ู…ู† ุงู„ tangential stress ู‡ุฐูŠ ุนู„ุงู‚ุฉ ุงู„ุชู†ุฌูŠุด ุงู„
1984
+
1985
+ 497
1986
+ 00:43:46,250 --> 00:43:50,130
1987
+ stress ูˆ ู‡ุฐู‡ ุนู„ุงู‚ุฉ ุงู„ radial stress ูุงู†ุง ููŠ ุงู†ุฏูŠ
1988
+
1989
+ 498
1990
+ 00:43:50,130 --> 00:43:52,310
1991
+ two pressures pressure from inside pressure from
1992
+
1993
+ 499
1994
+ 00:43:52,310 --> 00:43:54,970
1995
+ outside ููŠ ุญุงู„ุชู†ุง ู‡ูƒูˆู† pressure from outside ุงูŠุด
1996
+
1997
+ 500
1998
+ 00:43:54,970 --> 00:44:00,050
1999
+ ู…ุนู„ูˆู…ุฉุŸ zero ุงู„ู…ุนุงุฏู„ุฉ ููŠ ุงู„ุญุงู„ุฉ ุฏู‡ ุชุชุจุณุท ุจูŠุตูŠุฑ
2000
+
2001
+ 501
2002
+ 00:44:00,050 --> 00:44:03,190
2003
+ ุจุงู„ุดูƒู„ ู‡ุฐุง tangential stress ุงู„ุชู†ุฌูŠุด ุงู„ stress
2004
+
2005
+ 502
2006
+ 00:44:03,190 --> 00:44:06,910
2007
+ ุจูŠูƒูˆู† high distribution ุชุจุนู‡ ุจุงู„ุดูƒู„ ู‡ุฐุง
2008
+
2009
+ 503
2010
+ 00:44:11,200 --> 00:44:14,960
2011
+ ุจูŠูƒูˆู† maximum ู‡ู†ุง tangential stress ูˆ minimum ุจุฑุง
2012
+
2013
+ 504
2014
+ 00:44:14,960 --> 00:44:24,320
2015
+ ุงู„ radial stress ุจูŠูƒูˆู† maximum ุฌูˆุง ูˆ ุจุฑุง ุณูุฑ zero
2016
+
2017
+ 505
2018
+ 00:44:24,320 --> 00:44:29,980
2019
+ ู…ุงููŠุด radial stress ูู„ู…ุง ุงู†ุง ุงุญุท ุงุฏูŠุจ ุณุทูˆุนู†ุง ูŠุนู†ูŠ
2020
+
2021
+ 506
2022
+ 00:44:29,980 --> 00:44:34,580
2023
+ ุงู„ููƒุฑุฉ ุงู†ู‡ ุงู†ุง ููŠ ุถุบุท ุงู„ุถุบุท ุจุนู…ู„ stresses ุงู†ุง ุจู‡ู…
2024
+
2025
+ 507
2026
+ 00:44:34,580 --> 00:44:38,020
2027
+ ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุน ุงู„ุฌุฏุงุฑ ุงู„ุฎุงุฑุฌูŠ ุจูŠูƒูˆู†
2028
+
2029
+ 508
2030
+ 00:44:38,020 --> 00:44:42,790
2031
+ ููŠ tangential stressูˆ ู„ุง ูŠูˆุฌุฏ ุฑุงุฏูŠูˆ ู„ู„ุถุบุท ุฅุฐุง ู„ู…
2032
+
2033
+ 509
2034
+ 00:44:42,790 --> 00:44:49,930
2035
+ ุชุณุชุฌูŠุจ ุงู„ุถุบุท ู…ุงุฐุง ุณูŠุญุฏุซุŸ ุณูŠุชู…ุฏุฏ ุงู„ุถุบุท ุฅุฐุง ุฑูƒู‘ุจุช
2036
+
2037
+ 510
2038
+ 00:44:49,930 --> 00:44:57,030
2039
+ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ู„ุฃู†
2040
+
2041
+ 511
2042
+ 00:44:57,030 --> 00:45:04,310
2043
+ ุงุฑุชูุน ุงู„ุถุบุท ุณูŠุชู…ุฏุฏ ุงุณุชุฑูŠุงู† ุฌูŠุฌ ุชุชุบูŠุฑ ู…ุงุฐุงุŸ ุชุชุบูŠุฑ
2044
+
2045
+ 512
2046
+ 00:45:04,310 --> 00:45:04,570
2047
+ ู…ู‚ุงูˆู…ุชู‡
2048
+
2049
+ 513
2050
+ 00:45:07,370 --> 00:45:11,030
2051
+ ุชุชุบูŠุฑ ุงู„ resistance ุจู‚ูŠุณ ุงู„ resistance ูˆ ููŠ ุนู„ุงู‚ุฉ
2052
+
2053
+ 514
2054
+ 00:45:11,030 --> 00:45:15,170
2055
+ ุจูŠู† ุงู„ resistance ุนู„ุงู‚ุฉ ู†ุฑุฌุน ู„ุฌูˆู‡ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†
2056
+
2057
+ 515
2058
+ 00:45:15,170 --> 00:45:23,750
2059
+ delta R ู…ุน ุงู„ deflection ูˆ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน
2060
+
2061
+ 516
2062
+ 00:45:23,750 --> 00:45:28,450
2063
+ ุงูŠู‡ุŸ ุงู„ deflection ุนู„ุงู‚ุฉ ู…ุน ุงู„ู„ูŠ ู‡ูˆ ุงู„ sigma
2064
+
2065
+ 517
2066
+ 00:45:28,450 --> 00:45:34,030
2067
+ tangential ูˆ ุงู„ sigma tangential ุนู„ุงู‚ุฉ ููŠ ุงูŠู‡ุŸ ููŠ
2068
+
2069
+ 518
2070
+ 00:45:34,030 --> 00:45:40,980
2071
+ ุงู„ pressure ุงู„ู„ูŠ ู‡ูŠ ุงูŠู‡ุŸุนู† ุงู„ุณุทุญ ุงู„ุฎุงุฑุฌูŠ ุทุจุนุง ู‡ุฐุง
2072
+
2073
+ 519
2074
+ 00:45:40,980 --> 00:45:47,380
2075
+ ุฑ ุงูŠ ูˆ ู‡ุฐุง ุฑ ุงูˆ ุจูŠูƒูˆู† ุงู„ุงุฑ ุงูˆ ุจุงู„ุณุงูˆูŠ ุงูŠุด ุงู„ุงุฑ
2076
+
2077
+ 520
2078
+ 00:45:47,380 --> 00:45:50,260
2079
+ ุจูŠูƒูˆู† ุณุงูˆูŠ ุฑ ุงูˆ ูŠุนู†ูŠ ู‡ุฏุง ู‡ุชูƒูˆู† ุฑ ุงูˆ ุนู„ู‰ ุฑ ุงูˆ ุจูŠุตูŠุฑ
2080
+
2081
+ 521
2082
+ 00:45:50,260 --> 00:45:53,300
2083
+ ูˆุงุญุฏ ุฒุงุฏ ูˆุงุญุฏ ุงุชู†ูŠู† ุจุชูƒูˆู† ุงู„ sigma tangential
2084
+
2085
+ 522
2086
+ 00:45:53,300 --> 00:46:01,900
2087
+ sigma tangential ุจุงู„ุณุงูˆูŠ ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงูŠ ุนู„ู‰ ุฑ ุงูˆ
2088
+
2089
+ 523
2090
+ 00:46:01,900 --> 00:46:11,990
2091
+ ุชุฑุจูŠุน minus ุฑ ุงูŠ ุชุฑุจูŠุน ููŠ ุงุชู†ูŠู† ููŠ ุงุชู†ูŠู†ู„ุญุธุฉ ุงู„ ุฑ
2092
+
2093
+ 524
2094
+ 00:46:11,990 --> 00:46:19,550
2095
+ ุงูŠ ูˆ ุงู„ ุฑ ุงูˆ ูˆ ุงู„ ุฑ ุงูŠ ุงูŠู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุฏูˆู„ุŸ ุซูˆุงุจุชุŒ
2096
+
2097
+ 525
2098
+ 00:46:19,550 --> 00:46:25,850
2099
+ ุตุญุŸ ูˆ ุงู„ุงุชู†ูŠู† ูˆ ุงู„ุซุงู„ุซุŒ ู…ุนู†ุงุชู‡ ุงู„ sigma ุจุงู„ุณูˆุตุงู†
2100
+
2101
+ 526
2102
+ 00:46:25,850 --> 00:46:32,270
2103
+ constant ุณู…ูŠู‡ alpha ู…ุน ุงู„ pressure ูุงู„ุนู„ุงู‚ุฉ
2104
+
2105
+ 527
2106
+ 00:46:32,270 --> 00:46:35,990
2107
+ ุจูŠู† ุงู„ stress ูˆ ุงู„ pressure linear
2108
+
2109
+ 528
2110
+ 00:46:39,040 --> 00:46:43,120
2111
+ ูˆุงู„ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ strain ูˆ ุงู„ tangential ุจุฑุถู‡ ู‡ุชูƒูˆู†
2112
+
2113
+ 529
2114
+ 00:46:43,120 --> 00:46:46,800
2115
+ ุงุฐุง ุงู†ุง ููŠ ุงู„ elastic range ู‡ุชูƒูˆู† ุงูŠู‡ุŸ linear
2116
+
2117
+ 530
2118
+ 00:46:46,800 --> 00:46:54,960
2119
+ ู‡ุชูƒูˆู† sigma tangential ุณูˆุงุก E ููŠ delta ูŠุนู†ูŠ ุจุญุณ
2120
+
2121
+ 531
2122
+ 00:46:54,960 --> 00:47:02,200
2123
+ ุงู†ู‡ุง ุงูŠู‡ุŸ ุงู„ delta ุจุฑุฌุน ูˆ ุฑุฌูˆุน ูˆ ุงู„ delta ู…ุน delta
2124
+
2125
+ 532
2126
+ 00:47:02,200 --> 00:47:11,670
2127
+ R linear ูˆุงุถุญุŸ ููŠ ุงู„ุขุฎุฑุงู„ู€ Delta R ู…ุฑุชุจุทุฉ ู…ุน ุงู„
2128
+
2129
+ 533
2130
+ 00:47:11,670 --> 00:47:15,270
2131
+ input ุจุชุงุนู†ุง ุงู„ pressure ู…ุฏุฉ ุงู„ pressure ุชู†ุจุฌู†ุด ุงู„
2132
+
2133
+ 534
2134
+ 00:47:15,270 --> 00:47:20,710
2135
+ stress deflection ุงูˆ strain ุจุนุฏูŠู† change ุงู„
2136
+
2137
+ 535
2138
+ 00:47:20,710 --> 00:47:25,750
2139
+ resistance ูˆ I measure ุงู„ resistance ู‡ุฐู‡ ููƒุฑุฉ ุงู„ู„ูŠ
2140
+
2141
+ 536
2142
+ 00:47:25,750 --> 00:47:29,550
2143
+ ู‡ูˆ ุงู„ููƒุฑุฉ
2144
+
2145
+ 537
2146
+ 00:47:29,550 --> 00:47:33,850
2147
+ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ูˆุน
2148
+
2149
+ 538
2150
+ 00:47:33,850 --> 00:47:34,490
2151
+ ุงู„ุชุงู†ูŠ ู…ู†
2152
+
2153
+ 539
2154
+ 00:48:12,200 --> 00:48:17,140
2155
+ ุทูŠุจ ู…ุนู†ุงู‡ ุชู‚ุฏุญุฉ ุงู„ููƒุฑุฉ ุฃุญุฏ ุงู„ุทุฑู‚ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง
2156
+
2157
+ 540
2158
+ 00:48:17,140 --> 00:48:19,540
2159
+ pressure cell pressure cell pressure cell pressure
2160
+
2161
+ 541
2162
+ 00:48:19,540 --> 00:48:20,240
2163
+ cell pressure cell pressure cell pressure cell
2164
+
2165
+ 542
2166
+ 00:48:20,240 --> 00:48:21,860
2167
+ pressure cell pressure cell pressure cell pressure
2168
+
2169
+ 543
2170
+ 00:48:21,860 --> 00:48:22,480
2171
+ cell pressure cell pressure cell pressure cell
2172
+
2173
+ 544
2174
+ 00:48:22,480 --> 00:48:22,720
2175
+ pressure cell pressure cell pressure cell pressure
2176
+
2177
+ 545
2178
+ 00:48:22,720 --> 00:48:22,720
2179
+ cell pressure cell pressure cell pressure cell
2180
+
2181
+ 546
2182
+ 00:48:22,720 --> 00:48:22,760
2183
+ pressure cell pressure cell pressure cell pressure
2184
+
2185
+ 547
2186
+ 00:48:22,760 --> 00:48:22,760
2187
+ cell pressure cell pressure cell pressure cell
2188
+
2189
+ 548
2190
+ 00:48:22,760 --> 00:48:23,060
2191
+ pressure cell pressure cell pressure cell pressure
2192
+
2193
+ 549
2194
+ 00:48:23,060 --> 00:48:24,100
2195
+ cell pressure cell pressure cell pressure cell
2196
+
2197
+ 550
2198
+ 00:48:24,100 --> 00:48:26,440
2199
+ pressure cell pressure cell pressure cell pressure
2200
+
2201
+ 551
2202
+ 00:48:26,440 --> 00:48:26,440
2203
+ cell pressure cell pressure cell pressure cell
2204
+
2205
+ 552
2206
+ 00:48:26,440 --> 00:48:27,120
2207
+ pressure cell pressure cell pressure cell pressure
2208
+
2209
+ 553
2210
+ 00:48:27,120 --> 00:48:27,120
2211
+ cell pressure cell pressure cell pressure cell
2212
+
2213
+ 554
2214
+ 00:48:27,120 --> 00:48:27,120
2215
+ pressure cell pressure cell pressure cell pressure
2216
+
2217
+ 555
2218
+ 00:48:27,120 --> 00:48:27,120
2219
+ cell pressure cell pressure cell pressure cell
2220
+
2221
+ 556
2222
+ 00:48:27,120 --> 00:48:27,120
2223
+ pressure cell pressure cell pressure cell pressure
2224
+
2225
+ 557
2226
+ 00:48:27,120 --> 00:48:27,120
2227
+ cell pressure cell pressure cell pressure cell
2228
+
2229
+ 558
2230
+ 00:48:27,120 --> 00:48:27,120
2231
+ pressure cell pressure cell pressure cell pressure
2232
+
2233
+ 559
2234
+ 00:48:27,120 --> 00:48:27,120
2235
+ cell pressure cell pressure cell pressure cell
2236
+
2237
+ 560
2238
+ 00:48:27,120 --> 00:48:27,120
2239
+ pressure cell pressure cell pressure cell pressure
2240
+
2241
+ 561
2242
+ 00:48:27,120 --> 00:48:27,120
2243
+ cell pressure cell pressure cell pressure cell
2244
+
2245
+ 562
2246
+ 00:48:27,120 --> 00:48:27,120
2247
+ pressure cell pressure cell pressure cell pressure
2248
+
2249
+ 563
2250
+ 00:48:27,120 --> 00:48:27,120
2251
+ cell pressure cell pressure cell pressure cell
2252
+
2253
+ 564
2254
+ 00:48:27,120 --> 00:48:27,120
2255
+ pressure cell pressure cell pressure cell pressure
2256
+
2257
+ 565
2258
+ 00:48:27,120 --> 00:48:27,120
2259
+ cell pressure cell pressure cell pressure cell
2260
+
2261
+ 566
2262
+ 00:48:27,120 --> 00:48:27,120
2263
+ pressure cell pressure cell pressure cell pressure
2264
+
2265
+ 567
2266
+ 00:48:27,120 --> 00:48:32,020
2267
+ cell pressure cell pressure cell pressure
2268
+
2269
+ 568
2270
+ 00:48:32,020 --> 00:48:39,380
2271
+ cell pressure
2272
+
2273
+ 569
2274
+ 00:48:39,380 --> 00:48:42,200
2275
+ cell pressure cellุงู„ุชู…ุงุช ุจูŠุนู…ู„ delta R ุจู‚ูŠุณ ุฏู„ุชุง R
2276
+
2277
+ 570
2278
+ 00:48:42,200 --> 00:48:46,020
2279
+ ู‡ูˆ ูˆููŠ two strain gauges ุทุจุนุง ู‡ู†ุง ู‚ูˆูŠุฉ ุฌุฏุง ู‡ู†ุง ููŠ
2280
+
2281
+ 571
2282
+ 00:48:46,020 --> 00:48:49,520
2283
+ strain gauges ูŠุนู†ูŠ ุจูŠุญุท ุงุชู†ูŠู† ุถุงู…ูŠ strain gauges
2284
+
2285
+ 572
2286
+ 00:48:49,520 --> 00:48:56,100
2287
+ ุนุดุงู† ุชุนู…ู„ temperature compensation ูƒูŠูุŸ ูŠุนู†ูŠ ู‡ู†ุง
2288
+
2289
+ 573
2290
+ 00:48:56,100 --> 00:49:00,980
2291
+ ู‡ู†ููŠุด strain ูŠุนู†ูŠ ุงูุชุฑุถ ุงู† ุนู†ุฏูƒ ุงู„ liquid ุงูˆ ุงู„ุบุงุฒ
2292
+
2293
+ 574
2294
+ 00:49:00,980 --> 00:49:09,220
2295
+ ุณุฎู† ุตุญุŸ ู…ุนู†ุงุชู‡ ู‡ุฐู‡ ุญุชุฉ ุทูŠู† ูŠุนู†ูŠุงู„ุชู…ุฏุฏ due to
2296
+
2297
+ 575
2298
+ 00:49:09,220 --> 00:49:15,740
2299
+ temperature ูˆ due to pressure ู‡ุฐุง ุงูŠุด ุจูŠุนุทูŠู†ุง ุจุณ
2300
+
2301
+ 576
2302
+ 00:49:15,740 --> 00:49:21,200
2303
+ temperature ุจุทุฑุญู‡ู… ุจูŠุนุทูŠู†ูŠ ุงู„ net ู†ุชูŠุฌุฉ ุงูŠุด ุงู„
2304
+
2305
+ 577
2306
+ 00:49:21,200 --> 00:49:26,180
2307
+ pressure ูˆุงุถุญ ู„ูŠุด ู‡ุงุฏ ุงู„ู…ูˆุฌูˆุฏูŠู† ุจูŠุณู…ูˆู‡ุง dummy
2308
+
2309
+ 578
2310
+ 00:49:26,180 --> 00:49:31,720
2311
+ strain gauges ุงูˆ temperature compensating strain
2312
+
2313
+ 579
2314
+ 00:49:31,720 --> 00:49:39,050
2315
+ gauges ุจุงู„ุทุฑูŠู‚ุฉ ู‡ุฐู‡ ุงู†ุง ุจู‚ูŠุณ ุงู„ .. ุงู„ ..ุงู„
2316
+
2317
+ 580
2318
+ 00:49:39,050 --> 00:49:48,030
2319
+ pressure ุจุทุฑูŠู‚ุฉ digital somehow digital ู‡ุฐู‡ ุงู„ู„ูŠ
2320
+
2321
+ 581
2322
+ 00:49:48,030 --> 00:49:54,610
2323
+ ู‡ูŠ ุงู„ strain gauge pressure ุณู„ ุทุจุนุง
2324
+
2325
+ 582
2326
+ 00:49:54,610 --> 00:49:58,410
2327
+ ุงู†ุง ุจุฏุฃ ุงุฏุฎู„ design ุงู„ุชูุงุตูŠู„ ูˆ ุจุฏุฃ ุงุดูˆู ุงู„
2328
+
2329
+ 583
2330
+ 00:49:58,410 --> 00:50:03,910
2331
+ material ุจุชุงุนุฉ ุงู„ cylinder ุงู„ุชูุงุตูŠู„ ู‡ุฐู‡ ุงู„
2332
+
2333
+ 584
2334
+ 00:50:03,910 --> 00:50:10,890
2335
+ thickness ุงู„ุทูˆู„ุงู„ุทูˆู„ ูˆ ุงู„ response ุจุชุงุนู‡ุง ู…ุน ุฏุฑุฌุฉ
2336
+
2337
+ 585
2338
+ 00:50:10,890 --> 00:50:16,370
2339
+ ุงู„ุญุฑุงุฑุฉ ูˆ ุทุฑูŠู‚ุฉ ุงู„ connection ูŠุนู†ูŠ ููŠ ุงู„ู…ู†ุทู‚ุฉ ุงู„ู„ูŠ
2340
+
2341
+ 586
2342
+ 00:50:16,370 --> 00:50:20,550
2343
+ ู„ุงุฒู… ุชูƒูˆู† ุฅูŠุงุด ููŠ ุณู…ุงูƒุฉ ู‡ูŠ ู…ุชูˆู‚ุนุฉ ุชูƒูˆู† ููŠ
2344
+
2345
+ 587
2346
+ 00:50:20,550 --> 00:50:27,110
2347
+ thickness ูŠูƒูˆู† ุฅูŠุงุด ู‚ู„ูŠู„ ูŠุนู†ูŠ
2348
+
2349
+ 588
2350
+ 00:50:27,110 --> 00:50:29,230
2351
+ ุฃููƒุงุฑ ุณู‡ู„ุฉ
2352
+
2353
+ 589
2354
+ 00:50:42,190 --> 00:50:48,730
2355
+ ูŠุนู†ูŠ ุงู„ุจุนุถ ุฃุญูŠุงู†ุง ู…ู…ูƒู† ุฃู†ุช ุชุนู…ู„ ุฌู‡ุงุฒ ุงู„ู‚ูŠุงุณ ุงู„ุฎุงุต
2356
+
2357
+ 590
2358
+ 00:50:48,730 --> 00:50:55,330
2359
+ ููŠูƒ ูƒู„ ู…ุง ุจุฏุฃุช ุงู„ุณูŠุท ูŠุนู†ูŠ ุงูŠูˆุฉ ูู„ูˆ ุงู†ุง ุจุฏุฃ ุงุนู…ู„
2360
+
2361
+ 591
2362
+ 00:50:55,330 --> 00:51:00,270
2363
+ ุดุบู„ very low pressure ู…ู…ูƒู† ุงุนู…ู„ ุฌู‡ุฒุฉ ู‡ูŠูƒ ุนุงู…
2364
+
2365
+ 592
2366
+ 00:51:00,270 --> 00:51:06,610
2367
+ ุจุงู„ู„ูˆู† ุฎุตูˆุตุง ุงูˆ ู…ูŠุฒุงู†ุฃู‡ ููŠ ุดุบู„ุงุช ูƒุชูŠุฑ ู…ู…ูƒู† ุชู†ุนู…ู„
2368
+
2369
+ 593
2370
+ 00:51:06,610 --> 00:51:10,770
2371
+ ุทูŠุจ ุงู„ุงู† ุงู„ู…ูˆุถูˆุน ุงู„ู…ู‡ู… ุทุจุนุง ู‡ู†ุง sensitive of a
2372
+
2373
+ 594
2374
+ 00:51:10,770 --> 00:51:13,670
2375
+ pair of circumferentially mounted strain with
2376
+
2377
+ 595
2378
+ 00:51:13,670 --> 00:51:16,290
2379
+ gauge factor of ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2380
+
2381
+ 596
2382
+ 00:51:16,290 --> 00:51:16,290
2383
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2384
+
2385
+ 597
2386
+ 00:51:16,290 --> 00:51:16,470
2387
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2388
+
2389
+ 598
2390
+ 00:51:16,470 --> 00:51:16,510
2391
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2392
+
2393
+ 599
2394
+ 00:51:16,510 --> 00:51:16,770
2395
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2396
+
2397
+ 600
2398
+ 00:51:16,770 --> 00:51:19,190
2399
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2400
+
2401
+ 601
2402
+ 00:51:19,190 --> 00:51:19,790
2403
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2404
+
2405
+ 602
2406
+ 00:51:19,790 --> 00:51:23,350
2407
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2408
+
2409
+ 603
2410
+ 00:51:23,350 --> 00:51:27,770
2411
+ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
2412
+
2413
+ 604
2414
+ 00:51:27,770 --> 00:51:33,660
2415
+ ู„ .. ู„ ..ุงู„ู€ change of resistance due to change in
2416
+
2417
+ 605
2418
+ 00:51:33,660 --> 00:51:39,120
2419
+ dimensions ุงู„ P I ุงู„ู„ูŠ ู‡ูˆ ุงู„ pressure inside ุงู„
2420
+
2421
+ 606
2422
+ 00:51:39,120 --> 00:51:45,140
2423
+ tube ุงู„ R ุงู„ู„ูŠ ู‡ูŠ ุงู„ nominal resistance ุงูˆ ุงู„
2424
+
2425
+ 607
2426
+ 00:51:45,140 --> 00:51:48,260
2427
+ nominal resistance ู„ู„ string gauge ุงู„ู„ูŠ ู‡ูŠ
2428
+
2429
+ 608
2430
+ 00:51:48,260 --> 00:51:52,890
2431
+ resistance ุจุชุงุนุชู‡ ุงู„ nominalุงู„ู€ D ุงู„ูƒุชุฑ ุงู„ุฏุงุฎู„ู‰ ุงู„
2432
+
2433
+ 609
2434
+ 00:51:52,890 --> 00:51:56,650
2435
+ E ุงู„ู„ู‰ ู‡ู‰ ุงู„ modulus of elasticity ุงู„ New ุงู„ู„ู‰ ู‡ู‰
2436
+
2437
+ 610
2438
+ 00:51:56,650 --> 00:52:02,290
2439
+ Poisson ratio ุงู„ D ูƒุจุชุฑ ุงู„ู„ู‰ ู‡ู‰ ุงู„ูƒุชุฑ ุงู„ุฎุงุฑุฌู‰
2440
+
2441
+ 611
2442
+ 00:52:02,290 --> 00:52:11,050
2443
+ ุทูŠุจ ููŠ ุงู„ .. ุทุจุนุง ูู‰ ุงู„ูƒุชุงุจ ูู‰ ุฃุฌุฒุฉ ูƒุชูŠุฑ ู„ู‚ูŠุงุณ
2444
+
2445
+ 612
2446
+ 00:52:11,050 --> 00:52:16,270
2447
+ ุงู„ูุฑุดุนุงู„ุฉ ุฐูƒุฑ ุฌุฒุก ุจุณูŠุท ู…ู†ู‡ุงุงู„ููƒุฑุฉ ุจุบุถ ุงู„ู†ุธุฑ ุนู†
2448
+
2449
+ 613
2450
+ 00:52:16,270 --> 00:52:19,670
2451
+ ุงู„ุฌู‡ุงุฒ .. ุนู† .. ุนู† ุงู„ุฌู‡ุงุฒ ุงู„ู…ุณุชุฎุฏู… ู„ู„ู‚ูŠุงุณ how to
2452
+
2453
+ 614
2454
+ 00:52:19,670 --> 00:52:22,270
2455
+ calibrate it ูƒูŠู ู†ุนู…ู„ู‡ calibration ูŠุนู†ูŠ ู‡ุชุนู…ู„ู‡
2456
+
2457
+ 615
2458
+ 00:52:22,270 --> 00:52:28,590
2459
+ ุชุฌุฑุจุฉ ุฌู‰ ู…ุซู„ุง ุฌู‡ุงุฒ ุจุณ ู…ุงุนุฑูุด ุงุฐุง ุจุฏู†ุง ู†ุณุชุฎุฏู… ุงู„ู„ูŠ
2460
+
2461
+ 616
2462
+ 00:52:28,590 --> 00:52:35,670
2463
+ ู‡ูˆ ุงู„ dead center ุงู„ dead weight center
2464
+
2465
+ 617
2466
+ 00:52:35,670 --> 00:52:42,710
2467
+ pressure gauge ุงู„ู„ูŠ
2468
+
2469
+ 618
2470
+ 00:52:42,710 --> 00:52:48,600
2471
+ ู‡ูˆ ู‡ุฐุงุนุดุงู† to calibrate any pressure measuring
2472
+
2473
+ 619
2474
+ 00:52:48,600 --> 00:52:53,760
2475
+ device ู„ูˆ ุจุฏู‰ ุฃุณุชุฎุฏู… ุงู„ุฌู‡ุงุฒ ุฏู‡ for calibration ุจุฏู‰
2476
+
2477
+ 620
2478
+ 00:52:53,760 --> 00:53:02,620
2479
+ ุฃุณุชุฎุฏู… ุงูˆุฒุงู† ูˆ ุงู„ุฌู‡ุงุฒ ุฏู‡ ู…ุงู„ู‡ calibration ุจูˆุตู„ู‡
2480
+
2481
+ 621
2482
+ 00:53:02,620 --> 00:53:11,520
2483
+ ู‡ู†ุง ุงู„ุงู† ู‡ูŠูƒูˆู† ุนู†ุฏู‰ ุงู„ mass
2484
+
2485
+ 622
2486
+ 00:53:14,720 --> 00:53:21,700
2487
+ ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ weight ุจุนุฏูŠู† ู†ุญุณุจ ุงู„ P ุงู„ true ุฏู‡
2488
+
2489
+ 623
2490
+ 00:53:21,700 --> 00:53:26,780
2491
+ ุณุงู…ุน ุงู„ true pressure ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง true ู…ุด true
2492
+
2493
+ 624
2494
+ 00:53:26,780 --> 00:53:34,160
2495
+ ู…ูŠูู„ู…ูŠุฉ ุจุนุฏูŠู† ุงู„ P indicated ุงู„ indicated pressure
2496
+
2497
+ 625
2498
+ 00:53:34,160 --> 00:53:39,700
2499
+ indicated ููŠู† ุงู„ range ุชุงุนู‡ ู…ุซู„ุง ู†ุญูƒูŠ ู…ู† ุงู„ range
2500
+
2501
+ 626
2502
+ 00:53:39,700 --> 00:53:50,740
2503
+ ุชุงุนู‡ ู…ุซู„ุง ู…ู† ุณูุฑู„ุญุฏ ู…ุงุฆุฉ ู…ูŠ๏ฟฝ๏ฟฝุง ุจุณ ูƒุฏู‡ ู‡ุจุฏุฃ ู…ู† ุตูุฑ
2504
+
2505
+ 627
2506
+ 00:53:50,740 --> 00:53:57,560
2507
+ pressure zero ู„ุฃ ู…ุด ู‡ุญุทูˆู„ ุจู‚ู‰ ู‡ุจุฏุฃ zero ุงูˆู„ ุดูŠ
2508
+
2509
+ 628
2510
+ 00:53:57,560 --> 00:54:05,020
2511
+ ูˆุงุฎุฏ ู‚ุฑุงุกุงุช ู„ุงุฒู… ุงุบุทูŠ ูƒู„ ุงู„ range ุนู†ุฏ ู…ูŠู‡ ู„ูˆ ุญูƒูŠุช
2512
+
2513
+ 629
2514
+ 00:54:05,020 --> 00:54:08,760
2515
+ ุงู†ุง ูƒู„ ุนุดุฑูŠู† ู…ูŠุฌุง ู‡ุงุฎุฏ ู‡ุงูŠ ุนุดุฑูŠู†
2516
+
2517
+ 630
2518
+ 00:54:12,230 --> 00:54:15,970
2519
+ ูŠุนู†ูŠ ุงู†ุง ุจูƒูˆู† ุญุงุณุจ ุงูƒู… ุจุฏู‰ ูˆุฒู† ุนุดุงู† ุงุนุทูŠ ุนุดุฑูŠู†
2520
+
2521
+ 631
2522
+ 00:54:15,970 --> 00:54:21,190
2523
+ ู…ูŠุฌุง ุงู„ mass ุจุญุณ
2524
+
2525
+ 632
2526
+ 00:54:21,190 --> 00:54:30,650
2527
+ ูŠุนุทูŠู†ุง ุนุดุฑูŠู† ู…ูŠุฌุง ุนุดุฑูŠู† ุงุฑุจุนูŠู† ุณุชูŠู† ุชู…ุงู†ูŠู† ู…ูŠุฉ
2528
+
2529
+ 633
2530
+ 00:54:30,650 --> 00:54:36,070
2531
+ ุจุฑุถู‡ ุจุฏู‰ ุงุฑุฌุน ุฌูˆุน ุชู…ุงู†ูŠู†
2532
+
2533
+ 634
2534
+ 00:54:38,930 --> 00:54:46,890
2535
+ ุณุชูŠู† ุงุฑุจุนูŠู† ุนุดุฑูŠู† ุตูุฑ ู„ู…ุง ุงุฑุฌุน ุจุดูŠุด ุงู„ูˆุฒู†ุฉ ูƒู„ู‡ุง ูˆ
2536
+
2537
+ 635
2538
+ 00:54:46,890 --> 00:54:54,270
2539
+ ุจุญุท ุงู„ูˆุฒู† ุฏูŠ ู„ุฃ ูˆุงุญุฏุฉ ูˆุงุญุฏุฉ ุจุฎุชู„ู ุงู„ุงุดูŠุงุก ุงู†ุง ุนุงุฑู
2540
+
2541
+ 636
2542
+ 00:54:54,270 --> 00:54:58,010
2543
+ ู†ูุณูŠ ุงู„ balance ุงู‡ ู‡ุฐู‡ ู…ุฎุชู„ูุฉ ูุงู†ุช ุชุนู…ู„ ุงู„
2544
+
2545
+ 637
2546
+ 00:54:58,010 --> 00:55:01,290
2547
+ calibration ุงู†ุง ู…ุฑูƒุฒ ุนู„ู‰ ุงู„ calibration ูƒุชูŠุฑู„ุฃู† ุฒูŠ
2548
+
2549
+ 638
2550
+ 00:55:01,290 --> 00:55:04,630
2551
+ .. ู‡ุชุดุชุบู„ .. ู‡ุชุดุชุบู„ calibration ุงู„ู‚ูŠุงุณ .. ุฃูŠ ุญุฏ
2552
+
2553
+ 639
2554
+ 00:55:04,630 --> 00:55:07,010
2555
+ ู…ู…ูƒู† ูŠุงุฎุฏ ู‚ูŠุงุณุงุช ู…ู…ูƒู† .. ูŠุนู†ูŠ ุงู„ calibration ู…ู…ูƒู†
2556
+
2557
+ 640
2558
+ 00:55:07,010 --> 00:55:10,450
2559
+ ุชุจุตูŠ ู„ู‡ ุญุงุฌุฉ ุงู†ูƒ ุจุชู‚ูŠุต ุตุญ ูˆ ุจุชูู‡ู… ุงู„ุฌู‡ุงุฒ ูƒุฏู‡
2560
+
2561
+ 641
2562
+ 00:55:10,450 --> 00:55:14,710
2563
+ ุจูŠุดุชุบู„ ุตุญ ูˆ ุงูŠุด ู…ุตุงุฏุฑ ุงู„ุฎุทุฃ ููŠู‡ ูุจุฑุถู‡ ู‡ุชุนู…ู„ ุงู„
2564
+
2565
+ 642
2566
+ 00:55:14,710 --> 00:55:19,570
2567
+ calibration ู„ุฃุญุฏ ุงู„ุฃุฌุฒุฉ calibration ุงูˆ ู…ู…ูƒู† ูŠุณู…ูŠู‡
2568
+
2569
+ 643
2570
+ 00:55:19,570 --> 00:55:22,950
2571
+ characterization ู…ุด ุนุงุฑู ู…ู† ุฌู‡ุฉ ู†ูุณูŠ ู…ู…ูƒู† ู†ุณุชุฎุฏู…
2572
+
2573
+ 644
2574
+ 00:55:22,950 --> 00:55:26,150
2575
+ ุฌู‡ุงุฒ ู„ู„ calibration ุฃูƒุชุฑ ุฏู‚ุฉ ูŠุนู†ูŠ ุงู†ุง ุงุฎุฏ ู‚ุฑุงุกุฉ
2576
+
2577
+ 645
2578
+ 00:55:26,150 --> 00:55:29,710
2579
+ ุฌู‡ุงุฒ ุฃูƒุชุฑ .. ูŠุนู†ูŠ ุงุนู…ู„ ู…ุง ูŠุณู…ู‰ ุงู„ู„ูŠ ู‡ูˆ ู…ุนุงูŠุฑุฉ
2580
+
2581
+ 646
2582
+ 00:55:29,710 --> 00:55:39,740
2583
+ ู†ุณุจูŠุฉู…ุนุงูŠุฑุฉ ู†ุณุจูŠุฉ ู‡ุณุชุฎุฏู… ุฌู‡ุงุฒ ุงูƒุซุฑ ุฏู‚ุฉ ุทุจุนุง
2584
+
2585
+ 647
2586
+ 00:55:39,740 --> 00:55:44,840
2587
+ ู‡ูƒูˆู† ููŠู‡ ู‚ูŠู… ุงู„ู„ูŠ ู‡ู‚ุฑุงู‡ุง ุงู† ู‡ุฐู‡ ุงู„ indicated ูˆ
2588
+
2589
+ 648
2590
+ 00:55:44,840 --> 00:55:52,200
2591
+ ุจุนุฏูŠู† plot ุงู„ PI ู…ุน ุงู„ P true ู‡ุงูŠ
2592
+
2593
+ 649
2594
+ 00:55:52,200 --> 00:55:55,280
2595
+ ุงู„ hysteresis ู‡ุชุดูˆู ุงู„ linearity
2596
+
2597
+ 650
2598
+ 00:55:58,800 --> 00:56:05,940
2599
+ ูˆ zero offset ุฌูŠุจูˆุง ุงูŠ pressure gauge ู…ู† ุงูŠ ุดุฑูƒุฉ ูˆ
2600
+
2601
+ 651
2602
+ 00:56:05,940 --> 00:56:07,900
2603
+ ุงูุชุญูˆุง ุงู„ catalog ุจุชุงุนุชู‡ ูˆ ุงุทู„ุนูˆุง ุงู„ data sheet
2604
+
2605
+ 652
2606
+ 00:56:07,900 --> 00:56:11,980
2607
+ ู…ู…ูƒู† ุงุทู„ุนูˆุง ุงุด ู…ู…ูƒู† ุงุนุทูŠูƒูˆุง linear ูˆ zero offset ูˆ
2608
+
2609
+ 653
2610
+ 00:56:11,980 --> 00:56:18,760
2611
+ ุงู„ hysteresis ุงู‚ุฑุฃูˆุง ู…ู…ูƒู†
2612
+
2613
+ 654
2614
+ 00:56:18,760 --> 00:56:26,020
2615
+ ุงุนุทูŠูƒูˆุง project design ุงุนู…ู„ ู„ุฌู‡ุงุฒ ู‡ุฐุง
2616
+
2617
+ 655
2618
+ 00:56:32,860 --> 00:56:38,380
2619
+ ู†ู‡ ู…ุน ุญุณุงุจุงุช ุงู„ solid work ุจุฑู†ุงู…ุฌ ู„ู„ุฑุณู… ุฃุฏุงุฉ ู…ู†
2620
+
2621
+ 656
2622
+ 00:56:38,380 --> 00:56:45,120
2623
+ ุฃุฏูˆุงุช ุงู„ุฑุณู… ุงู„ solid work ู‡ูˆ ุงู„ู…ุตุทุฑู‡ ุชุงุนุชูƒ ุงูˆู„ ู…ุง
2624
+
2625
+ 657
2626
+ 00:56:45,120 --> 00:56:50,640
2627
+ ู‡ูŠ ุงูˆู„ ู…ุญุงูŠุง ุงุฐุง ุงู†ุช ุจู†ู‰ ุงู„ู…ุตุทุฑ ูŠู†ุชุจุนูƒ ุจุณ ุจุฏูƒ ุจู†ู‰
2628
+
2629
+ 658
2630
+ 00:56:50,640 --> 00:56:57,440
2631
+ ูŠุจู†ู‰ ุตุญ ูˆ ูŠุญุณู† ุตุญุŸ ู…ุงุชุญูƒูˆู„ุด solid work ูŠุนู†ูŠ ุงูˆ ุงุดูŠ
2632
+
2633
+ 659
2634
+ 00:56:57,440 --> 00:57:00,540
2635
+ ูƒุจูŠุฑ ุนุงุฏู‰ ุฒู…ุงู† ูƒุงู† ุตุงู…ู… ุจุฏูˆู† solid work
2636
+
2637
+ 660
2638
+ 00:57:07,400 --> 00:57:13,860
2639
+ ูู…ู…ูƒู† ุงุฐุง ุญุงุจูŠู† ุงุนุทูŠูƒูˆุง project ุงุชุตู…ู…ูˆู‡ ุงู„ู„ูŠ ู‡ูˆ
2640
+
2641
+ 661
2642
+ 00:57:13,860 --> 00:57:20,280
2643
+ dead weight tester ุทุจุนุง ู‡ุชุดูˆู ู…ุซู„ุง ูƒูŠู ุจู†ุญุตู„ ุงู„
2644
+
2645
+ 662
2646
+ 00:57:20,280 --> 00:57:24,940
2647
+ pressure ููŠู‡ ู„ู‡ุง ู…ุนุงุฏู„ุฉ ุงู„ู…ุนุงุฏู„ุฉ ู…ุด ู…ุจุงุดุฑุฉ ุงู†ุช
2648
+
2649
+ 663
2650
+ 00:57:24,940 --> 00:57:32,120
2651
+ ุญูƒูŠู‡ ูˆุงู„ู„ู‡ ุงู„ pressureุจุณูˆุฉ F ุนู„ู‰ A ุจุณูˆุฉ ุฃุฑุจุน F ุนู„ู‰
2652
+
2653
+ 664
2654
+ 00:57:32,120 --> 00:57:36,200
2655
+ Pi D ุชุฑุจูŠุน ู‡ุฐู‡ ุงู„ basic equation ุจุณ ููŠ corrections
2656
+
2657
+ 665
2658
+ 00:57:36,200 --> 00:57:44,100
2659
+ ููŠ corrections corrections
2660
+
2661
+ 666
2662
+ 00:57:44,100 --> 00:57:50,880
2663
+ for ุงู„ู„ูŠ ู‡ูˆ friction ู„ู„ pistol ู…ุน ุงู„ุฌุฏุฑุงู† ูˆููŠ
2664
+
2665
+ 667
2666
+ 00:57:50,880 --> 00:57:57,310
2667
+ correction ู„ู„ damping ุงู„ู„ูŠ ู‡ูŠุงู„ุฏู…ุจู† ู†ุชูŠุฌุฉ ุงู†ูŠุฑุด ู…ุน
2668
+
2669
+ 668
2670
+ 00:57:57,310 --> 00:58:02,850
2671
+ ุฒูŠุช ุจูŠุนู…ู„ ุฒูŠ ุชู…ูˆูŠุช ุงูˆ damping ูููŠู‡ ู„ู‡ correction
2672
+
2673
+ 669
2674
+ 00:58:02,850 --> 00:58:07,130
2675
+ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ corrections ูˆููŠู‡ correction ู†ุนู… ุฑูˆุญ
2676
+
2677
+ 670
2678
+ 00:58:07,130 --> 00:58:11,090
2679
+ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ ุงูƒุชุจ damping spring ุฑูˆุญ ุนู„ู‰ ุงู„ูŠูˆุชูŠูˆุจ
2680
+
2681
+ 671
2682
+ 00:58:11,090 --> 00:58:17,650
2683
+ ุงูƒุชุจ spring damper system
2684
+
2685
+ 672
2686
+ 00:58:30,580 --> 00:58:35,020
2687
+ ุนู†ุฏูƒ .. ุฏู‡ ูˆู„ุง ุญุงุฌุฉ ู…ุด ู‡ุดุฑุญู„ูƒ ู‡ูŠ .. ู‡ุชูƒูˆู† .. ู‡ุชุดูˆู
2688
+
2689
+ 673
2690
+ 00:58:35,020 --> 00:58:38,340
2691
+ ููŠู‡ ุฃู…ุซู„ุฉ ูˆ ุฑุฌุน ุดูˆู ููŠ ุงู„ูŠูˆุชูŠูˆุจ ุฅูŠุด ุจูŠุญูƒูˆุง ุน ุงู„
2692
+
2693
+ 674
2694
+ 00:58:38,340 --> 00:58:43,680
2695
+ spring damper system ุงุชูู‡ู…ุด ู‡ูˆ .. ููŠ ู…ุญุงุถุฑุฉ ูƒุชูŠุฑ
2696
+
2697
+ 675
2698
+ 00:58:43,680 --> 00:58:49,040
2699
+ ู‡ุชู„ุงู‚ูŠู‡ุง ุชุชุฐูƒุฑู‡ุง
2700
+
2701
+ 676
2702
+ 00:58:49,040 --> 00:58:58,080
2703
+ ูููŠู‡ุง
2704
+
2705
+ 677
2706
+ 00:58:58,080 --> 00:58:58,500
2707
+ ุณุคุงู„
2708
+
2709
+ 678
2710
+ 00:59:02,650 --> 00:59:06,690
2711
+ ู‡ู„ ุจุชุฏุฎู„ ุนู„ู‰ solid work ุนุงุฏูŠุŸ ุฏู„ูˆู‚ุชูŠ ู…ุด ู‡ุงูƒูŠู„ ุงู„
2712
+
2713
+ 679
2714
+ 00:59:06,690 --> 00:59:12,130
2715
+ solid work ุงู„ ุตุฏู‚ ุงุฏุงุก ุงู„ู„ูŠ ุงู†ุง ุงู†ุช ุดูˆู ุงูŠู‡ ู…ุด
2716
+
2717
+ 680
2718
+ 00:59:12,130 --> 00:59:18,950
2719
+ ู…ุทู„ูˆุจ ูŠุนู…ู„ู‡ ุนุดุงู† ุงุนู…ู„ design ู‡ุงูŠ ุงู„ููƒุฑุฉ ุจุชุงุนุชู‡ ู‡ุงูŠ
2720
+
2721
+ 681
2722
+ 00:59:18,950 --> 00:59:24,400
2723
+ ุงู„ููƒุฑุฉุงู†ุง ุจุฏูŠ ูƒูˆู†ุฏูŠ system ุฒูŠ ู‡ูŠูƒ ุจุชุถุงุฑู ุงู„ู‚ุทุฑ ู‡ุฐู‡
2724
+
2725
+ 682
2726
+ 00:59:24,400 --> 00:59:30,120
2727
+ ุงู„ุณู…ุงูƒุงุช ู‡ุฐู‡ ุงู„ู‚ุทุฑ ุจุชุงุน ุงู„ piston ู‚ูŠู… ุงู„ุฃูˆุฒุงู† ูˆุด
2728
+
2729
+ 683
2730
+ 00:59:30,120 --> 00:59:33,140
2731
+ ุงู„ pressure range ุงู„ุฎุฒุงู† ุฃูƒู… ุณุงุนุชู‡ ูˆููŠ ุนู†ุฏู‡ูŠู†
2732
+
2733
+ 684
2734
+ 00:59:33,140 --> 00:59:38,380
2735
+ adjustment ูˆููŠ ุนู†ุฏู‡ูŠู† ุงู„ูุชุญูŠู† ูˆ ุชูุงุตูŠู„ ููŠู‡ุง ุฌูŠุช
2736
+
2737
+ 685
2738
+ 00:59:38,380 --> 00:59:44,640
2739
+ ุฏูƒุชูˆุฑ ููŠ ุงู„ุฌู‡ุงุฒ ู‡ุฐุง ุงู„ุดุณู… ุงู„ diameter ู„ู„ุงู†ุงุจูŠ
2740
+
2741
+ 686
2742
+ 00:59:44,640 --> 00:59:49,060
2743
+ ูŠูƒูˆู†ู‡ุง ู†ูุณ ุงู„ุญุงุฌุฉ ูˆู„ุง ู…ุงุจุชุฎุชู„ุŸ ู…ุด ุนุงุฑู ุงู†ุช ู‡ุชุตู…ู…ุŸ
2744
+
2745
+ 687
2746
+ 01:00:07,030 --> 01:00:10,730
2747
+ ุทุจุนุง ุงู„ pressure ู‡ู†ุง ุทุจุนุง ุงู„ุงุฑุชูุงุน ู…ุด ู‡ูƒูˆู† ูƒุจูŠุฑ
2748
+
2749
+ 688
2750
+ 01:00:10,730 --> 01:00:13,710
2751
+ ูุงู„ pressure ููŠ ูƒู„ ู…ูƒุงู† ููŠ ุงู„ุฒูŠุช ู‡ูŠูƒูˆู† ู†ูุณ ุงู„ุดูŠ
2752
+
2753
+ 689
2754
+ 01:00:13,710 --> 01:00:20,480
2755
+ ุชู‚ุฑูŠุจุงูŠุนู†ูŠ ุงู„ head difference is not significant
2756
+
2757
+ 690
2758
+ 01:00:20,480 --> 01:00:25,260
2759
+ ูุงู„ pressure ู‡ูˆ ุงู„ู…ูƒุงู† ู‡ูƒูˆู† ู†ูุณู‡ ูุงู„ pressure ู‡ู†ุง
2760
+
2761
+ 691
2762
+ 01:00:25,260 --> 01:00:32,200
2763
+ ุงู„ู…ูุฑูˆุถ ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ุฅุฐุง ูƒุงู† ู‡ุฐุง 100% ุตุญ ู†ุนู… ูุงู†ุช
2764
+
2765
+ 692
2766
+ 01:00:32,200 --> 01:00:35,560
2767
+ ู‡ู†ุง ุจุชู‚ูŠุณ pressure ุงู„ pressure ุจูŠุณุงูˆูŠ force ุนู„ู‰
2768
+
2769
+ 693
2770
+ 01:00:35,560 --> 01:00:40,240
2771
+ area ุงู† ุนุฑูุชูƒ ุงู„ูˆุฒู† ุจุชุนุฑู ุงู„ pressure ุงู„ู…ูุฑูˆุถ ุงู„
2772
+
2773
+ 694
2774
+ 01:00:40,240 --> 01:00:44,320
2775
+ pressure ู‡ู†ุง ูŠุทู„ุน ู†ูุณู‡ ู‡ู†ุง ูุชุนู…ู„ู‡ calibrationู‡ูŠ ู‡ูˆ
2776
+
2777
+ 695
2778
+ 01:00:44,320 --> 01:00:48,560
2779
+ ู‡ุชูƒูˆู† ุงู„ connection standard ุงู„ thread ู„ู‡ standard
2780
+
2781
+ 696
2782
+ 01:00:48,560 --> 01:00:55,880
2783
+ ู„ุงู† ุงู†ุง ู‡ุฑูƒุจ gauge ููŠู‡
2784
+
2785
+ 697
2786
+ 01:00:55,880 --> 01:01:02,640
2787
+ ู„ู‡ standard connection ููŠ
2788
+
2789
+ 698
2790
+ 01:01:02,640 --> 01:01:07,340
2791
+ ุญุฏ ุงู„ุณุคุงู„ ุชุงู†ู‰ ููŠ ุญุณุงุจุฉ ุงู„ู„ูŠ ู‡ูˆ ุฑู†ุฌ ู…ุด ุนุงุฑูู‡ุงุด ู†ุนู…
2792
+
2793
+ 699
2794
+ 01:01:07,340 --> 01:01:12,040
2795
+ ุฏู‡ ุฑู†ุฌูŠุฉ ูƒู…ุงู† ููŠ ุญุณุงุจุงุช ุงุนู…ู„ ุจุฏูƒ ุงูŠู‡ ุฏู‡ ู…ุด ูŠุนู†ูŠ
2796
+
2797
+ 700
2798
+ 01:01:12,040 --> 01:01:12,920
2799
+ ู…ู‚ู„ูˆุจ ู…ู† ุฏู‡ ูู‚ุท
2800
+
2801
+ 701
2802
+ 01:01:15,810 --> 01:01:22,430
2803
+ ุฅุฐุง ูŠุนู†ูŠ ู…ู…ูƒู† ุชุนู…ู„ูˆุง ุฎูŠุงุฑ bonus ุจุณ
2804
+
2805
+ 702
2806
+ 01:01:22,430 --> 01:01:26,770
2807
+ ุจุฏูŠ ุฃุนุทูŠูƒูˆุง ุฅูŠุด ู…ุนู†ู‰ ูƒู„ู…ุฉ bonus bonus ุฃู†ุง ุจู‚ูŠู…ุด
2808
+
2809
+ 703
2810
+ 01:01:26,770 --> 01:01:30,950
2811
+ ุนู„ู‰ ุงู„ุฌู‡ุฏ ุงู„ู…ุจุฏูˆู„ ุจู‚ูŠู…
2812
+
2813
+ 704
2814
+ 01:01:30,950 --> 01:01:35,790
2815
+ ุนู† ู†ุชุงุฆุฌ ูŠุนู†ูŠ ู…ุง ุชู‚ูˆู„ูŠุด ูˆุงู„ู„ู‡ ุฃู†ุง ุนู…ู„ุช bonus ูˆุชุนุจุช
2816
+
2817
+ 705
2818
+ 01:01:35,790 --> 01:01:41,690
2819
+ ูˆุงู†ู‡ู„ูƒุช ูˆู‚ุนุฏุช ุดู‡ุฑ ุฃู†ุง ุจุงู‡ู… ุฏูŠ ุงู„ู†ุชูŠุฌุฉ ุชุจุตุฑูŠุด ุฃู†ุช
2820
+
2821
+ 706
2822
+ 01:01:41,690 --> 01:01:46,950
2823
+ ุจู†ุทู„ูˆู† ุจุฏูˆู† ุณุญุงุจุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ู…ุชุญูƒูŠุด ูˆุงู„ู„ู‡
2824
+
2825
+ 707
2826
+ 01:01:46,950 --> 01:01:51,390
2827
+ ู…ุณูƒูŠู† ุงู„ุฎูŠุงุท ุชุนุจ ุนู„ูŠู‡ ูˆุฎุณุงุฑุฉ ุจุฏู‡ ุงุดุชุฑูŠ ู…ู†ู‡ุŒ ู„ุฃ
2828
+
2829
+ 708
2830
+ 01:01:51,390 --> 01:01:56,510
2831
+ ุจุชุดุชุฑูŠ ุจู†ุทู„ูˆู† ูƒุงู…ู„ุŒ ุจุชุดุชุฑูŠ ุบุณุงู„ุฉุŒ ุบุณุงู„ุฉ ููŠู‡ุง ุบุณูŠู„
2832
+
2833
+ 709
2834
+ 01:01:56,510 --> 01:02:01,630
2835
+ ูˆููŠู‡ุง .. ูˆููŠู‡ุง ุชู†ุดูŠู ูˆู…ุชุญูƒูŠ ุจุฏูŠุด ุงู†ุง ุจุฏูŠ ุงุดุชุฑูŠ
2836
+
2837
+ 710
2838
+ 01:02:01,630 --> 01:02:05,030
2839
+ ุบุณุงู„ุฉ ุจุฏูŠ .. ูŠุนู†ูŠ ู…ุด ู…ุดูƒู„ุฉ ู„ูˆ ู…ุด ููŠู‡ุง ุชู†ุดูŠูุŒ ุญุฑุงู…
2840
+
2841
+ 711
2842
+ 01:02:05,030 --> 01:02:10,270
2843
+ ุงู„ุดุฑูƒุฉ ุชุนุจุช ูˆุฎุณุงุฑุฉ ุนู„ู‰ ุดุบู„ู‡ู… ูˆ ุชุฏูุนู„ู‡ู… ูู„ูˆุณ ููŠู‡ุงุŒ
2844
+
2845
+ 712
2846
+ 01:02:10,270 --> 01:02:14,600
2847
+ ูˆุถุญูƒุชุŸุนุดุงู† ูƒุชูŠุฑ ู„ุฅู† ุงู„ู†ุงุณ ุจูŠูู‡ู…ูˆุง ู„ู„ bonus ุฅู†ู‡ ุฃู†ุง
2848
+
2849
+ 713
2850
+ 01:02:14,600 --> 01:02:18,520
2851
+ ุจุจุฐู„ ุฌู‡ูˆุฏ ูˆ ุจุชุนุจ ูุจุงุฎุฏ bonus ู„ุฃ ุงู„ bonus ุฏุฑุฌุฉ ุนู„ู‰
2852
+
2853
+ 714
2854
+ 01:02:18,520 --> 01:02:23,600
2855
+ ุณูุฑ ุฃูˆ ูˆุงุญุฏ ู…ุงููŠุด ููŠ ุงู„ู…ุต ูŠุนู†ูŠ ุฅู…ุง ุจุชุงุฎุฏ ุฏุฑุฌุงุช ุฃูˆ
2856
+
2857
+ 715
2858
+ 01:02:23,600 --> 01:02:36,880
2859
+ ุจุชุงุฎุฏุด ู†ุนู… ูŠุฏุด ููŠ ุงู„ุฏุงู‚ุฉ ู†ุนู… ุงุชุญุงู„ ู†ุตููŠ ุจุณ ุฃู†ุง
2860
+
2861
+ 716
2862
+ 01:02:36,880 --> 01:02:37,560
2863
+ ุจุดุชุบู„ ุฅูŠู‡ ุฃุด
2864
+
2865
+ 717
2866
+ 01:02:40,600 --> 01:02:50,160
2867
+ ูŠุนู†ูŠ ู†ุชูŠุฌุฉ ุญูƒู… ุนู„ู‰ ุงู„ู†ุชูŠุฌุฉ result oriented
2868
+
2869
+ 718
2870
+ 01:02:50,160 --> 01:02:58,460
2871
+ ุจู‚ูŠุณุด
2872
+
2873
+ 719
2874
+ 01:02:58,460 --> 01:03:01,720
2875
+ ุชุนุฑูุŒ ู…ุด ู‡ุฑูƒุจ ุนู„ูŠูƒ string gauge ูˆ ู‡ุดูˆู ุงู„ุชุบูŠุฑ ููŠ
2876
+
2877
+ 720
2878
+ 01:03:01,720 --> 01:03:02,900
2879
+ ุงู„ู…ู‚ุงู… ูˆ ู…ุด ุนุงุฑูุด
2880
+
2881
+ 721
2882
+ 01:03:09,120 --> 01:03:12,080
2883
+ ู…ุงุดูŠ .. ูŠุนู†ูŠ ู…ุทู„ูˆุจ ู…ู†ู†ุง ู†ู‚ุณู… ุนู„ู‰ ุงู„ุฌู‡ุงุฒ .. ุงูŠู‡
2884
+
2885
+ 722
2886
+ 01:03:12,080 --> 01:03:14,160
2887
+ ุงู„ู„ูŠ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงูŠู‡ ุงู„ู„ูŠ ุจุฏู‡ .. ุงู‡ .. ุงูŠู‡
2888
+
2889
+ 723
2890
+ 01:03:14,160 --> 01:03:17,040
2891
+ ุงู„ู„ูŠ ุจุฏู‡ bonus .. ุงุฎุฏุด ูƒุงู…ู„ู‡ ูŠุง ุนุฒูŠุฒูŠ .. ุงู‡ .. ุงูŠู‡
2892
+
2893
+ 724
2894
+ 01:03:17,040 --> 01:03:21,580
2895
+ ุงู„ู„ูŠ ุจุฏู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ bonus ูŠุง ุนุฒูŠุฒูŠ .. ู…ุด ุจุฏูƒ
2896
+
2897
+ 725
2898
+ 01:03:21,580 --> 01:03:24,500
2899
+ ููŠู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู‡ูˆ ุจุฏูŠ ุฃุนู…ู„ู‡ .. ู…ุด ุจุฏูƒ ..
2900
+
2901
+ 726
2902
+ 01:03:24,500 --> 01:03:27,320
2903
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2904
+
2905
+ 727
2906
+ 01:03:27,320 --> 01:03:29,220
2907
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2908
+
2909
+ 728
2910
+ 01:03:29,220 --> 01:03:30,940
2911
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2912
+
2913
+ 729
2914
+ 01:03:30,940 --> 01:03:31,080
2915
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2916
+
2917
+ 730
2918
+ 01:03:31,080 --> 01:03:31,080
2919
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏูƒ ..
2920
+
2921
+ 731
2922
+ 01:03:31,080 --> 01:03:31,140
2923
+ ู…ุด ุจุฏูƒ .. ู…ุด ุจุฏ
2924
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/fsJPSc6Bf8A.srt ADDED
@@ -0,0 +1,1581 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:09,830
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡. ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ
4
+
5
+ 2
6
+ 00:00:09,830 --> 00:00:14,830
7
+ ู…ุงุฏุฉ ุงู„ู‚ูŠุงุณุงุชุŒ ู‡ู†ุฎุด ุนู„ู‰ ุดูŽุจู’ุทูŽุฉ ุฌุฏูŠุฏุฉ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:14,830 --> 00:00:20,190
11
+ measurement of pressureุŒ ู‚ูŠุงุณ.. ู‚ูŠุงุณุงุช ุงู„ุถุบุท ุทุจุนู‹ุง
12
+
13
+ 4
14
+ 00:00:20,190 --> 00:00:27,050
15
+ ููŠ ุงู„ุจุฏุงูŠุฉ ูŠุนู†ูŠ ู‡ู†ุชุนุฑู ุนู„ู‰ ุจุนุถ ุงู„ู…ูุงู‡ูŠู…. ุฃูˆู„ ุดูŠุก
16
+
17
+ 5
18
+ 00:00:28,180 --> 00:00:33,600
19
+ ุฅูŠุด ู‡ูˆ pressureุŸ pressure ุนุจุงุฑุฉ ุนู† ู‚ูˆุฉ ู…ูˆุฒุนุฉ
20
+
21
+ 6
22
+ 00:00:33,600 --> 00:00:40,780
23
+ ุนู„ู‰ ู…ุณุงุญุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ู‚ูˆุฉ ุนู…ูˆุฏูŠุฉ ู…ูˆุฒุนุฉ ุนู„ู‰ ู…ุณุงุญุฉ ุฒูŠ ู…ุง
24
+
25
+ 7
26
+ 00:00:40,780 --> 00:00:49,580
27
+ ุฃู†ุชู… ุดุงูŠููŠู†ุŒ force ู…ูˆุฒุนุฉ ุนู„ู‰ ู…ุณุงุญุฉ ุชุนู…ู„ ุถุบุท. ูˆุญุฏุงุช
28
+
29
+ 8
30
+ 00:00:49,580 --> 00:00:54,120
31
+ ุงู„ู€ pressure ุงู„ู„ูŠ ู‡ูŠ ูˆุญุฏุงุชู‡ ุงู„ู…ุชุฑูŠุฉ: ุงู„ุจุงุณูƒุงู„ ูŠุนู†ูŠ
32
+
33
+ 9
34
+ 00:00:54,120 --> 00:00:59,640
35
+ ู†ูŠูˆุชู†/ู…ุชุฑ ู…ุฑุจุนุŒ ูˆ PSI ุงู„ู„ูŠ ู‡ูŠ pound per square inch.
36
+
37
+ 10
38
+ 00:00:59,640 --> 00:01:06,360
39
+ pound ูŠุนู†ูŠ pound force per square inch. ุงู„ู€
40
+
41
+ 11
42
+ 00:01:06,360 --> 00:01:10,460
43
+ pressure ููŠู‡ ุงู„ู„ูŠ ู‡ูˆ absolute pressureุŒ ูˆููŠู‡ ุนู†ุฏูŠ
44
+
45
+ 12
46
+ 00:01:10,460 --> 00:01:15,920
47
+ gauge pressure. absolute pressure ูŠุนู†ูŠ ุงู„ุถุบุท ุงู„ู€
48
+
49
+ 13
50
+ 00:01:15,920 --> 00:01:21,000
51
+ reference ุนู†ุฏ ุงู„ู…ุฑุฌุนูŠุฉุŒ ุงู„ุถุบุท ุจูŠูƒูˆู† ุตูุฑ. ุงู„ู€
52
+
53
+ 14
54
+ 00:01:21,000 --> 00:01:25,230
55
+ reference ุจุชุงุนูŠ ุฅูŠุดุŸ ุตูุฑ. ูุฃู†ุง ุจู‚ูŠุณ ุงู„ุถุบุท ุจุงู„ู†ุณุจุฉ
56
+
57
+ 15
58
+ 00:01:25,230 --> 00:01:30,390
59
+ ู„ู€ reference ุตูุฑ. ุงู„ุขู†
60
+
61
+ 16
62
+ 00:01:30,390 --> 00:01:35,910
63
+ ููŠ gauge pressureุŒ ุงู„ู…ุฑุฌุน ุจุชุงุนูŠ ุจูŠูƒูˆู† ุงู„ุถุบุท
64
+
65
+ 17
66
+ 00:01:35,910 --> 00:01:45,030
67
+ ุงู„ุฌูˆูŠ. ู‡ุฐุง ู‡ูˆ ุงู„ุถุบุท ุงู„ุฌูˆูŠุŒ ุจุงู„ู†ุณุจุฉ ู„ู„ุตูุฑ ู‡ุฐุง ู‚ูŠู…ุฉ
68
+
69
+ 18
70
+ 00:01:45,030 --> 00:01:51,190
71
+ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ุงู„ู„ูŠ ู‡ูˆ atmospheric pressure. ุงู„ุขู†ุŒ ุฅุฐุง
72
+
73
+ 19
74
+ 00:01:51,190 --> 00:01:58,230
75
+ ุงู„ุถุบุท ูƒุงู† ุฃุนู„ู‰ ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆูŠุŒ ุงู„ู€ difference ุจูŠู† ุงู„ู€
76
+
77
+ 20
78
+ 00:01:58,230 --> 00:02:02,810
79
+ absolute ูˆุงู„ุถุบุท ุงู„ุฌูˆูŠ ุงู„ู„ูŠ ู‡ูˆ ุจู†ุณู…ูŠู‡ gauge
80
+
81
+ 21
82
+ 00:02:02,810 --> 00:02:12,910
83
+ pressure. gauge pressure ุจุณ
84
+
85
+ 22
86
+ 00:02:12,910 --> 00:02:17,310
87
+ ู‡ูˆ absolute pressure
88
+
89
+ 23
90
+ 00:02:20,510 --> 00:02:40,350
91
+ ู†ุงู‚ุต ุงู„ู„ูŠ ู‡ูˆ ุถุบุท ุงู„ุฌูˆ ุทุจุนู‹ุง.
92
+
93
+ 24
94
+ 00:02:40,350 --> 00:02:43,810
95
+ ุงู„ู€ gauge pressure ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌุจุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฅูŠุด
96
+
97
+ 25
98
+ 00:02:43,810 --> 00:02:50,960
99
+ ุณุงู„ุจ. ุจูŠูƒูˆู† ู…ูˆุฌุจ ุฅุฐุง ูƒู†ุง ุฃุนู„ู‰ ู…ู† ุถุบุท ุงู„ุฌูˆุŒ ุจูŠูƒูˆู† ุณุงู„ุจ
100
+
101
+ 26
102
+ 00:02:50,960 --> 00:02:55,680
103
+ ุฅุฐุง ุงุญู†ุง ุชุญุช ุถุบุท ุงู„ุฌูˆ. ู„ูƒู† absolute pressure
104
+
105
+ 27
106
+ 00:02:55,680 --> 00:03:03,000
107
+ ุฏุงุฆู…ู‹ุง ู…ูˆุฌุจุŒ ุฃูƒุจุฑ ู…ู† ุงู„ุตูุฑ.
108
+
109
+ 28
110
+ 00:03:03,000 --> 00:03:06,360
111
+ pressure. ูŠุนู†ูŠ ููŠู‡ ูุฑู‚. ูƒุงู… ู…ุงุฏุฉ ู…ุด material ู…ุงููŠุด
112
+
113
+ 29
114
+ 00:03:06,360 --> 00:03:11,600
115
+ material ูŠุนู†ูŠ ุจูŠูƒูˆู† ุฏู‡ ุตูุฑ pressure. ู‡ุฐุง absolute
116
+
117
+ 30
118
+ 00:03:11,600 --> 00:03:15,400
119
+ pressure. ูƒู€ absoluteุŒ ู‚ูŠู…ุชู‡ ุฃู‚ู„ ู…ู† ุงู„ู€ atmospheric
120
+
121
+ 31
122
+ 00:03:15,400 --> 00:03:20,790
123
+ pressureุŒ ูุงู„ู€ gauge ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุจู†ุณู…ูŠู‡ gauge
124
+
125
+ 32
126
+ 00:03:20,790 --> 00:03:23,750
127
+ pressureุŒ ุจูŠูƒูˆู† ุฒูŠ vacuumุŒ ููŠู‡ ุชูุฑูŠุบ ุจุงู„ู†ุณุจุฉ ู„ู„ุถุบุท
128
+
129
+ 33
130
+ 00:03:23,750 --> 00:03:29,250
131
+ ุงู„ุฌูˆูŠ. ุฅุฐุง ุนู†ุฏูŠ ุถุบุท ู‡ู†ุงุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู€ absoluteุŒ ูˆู‡ุฐุง ุงู„ู€
132
+
133
+ 34
134
+ 00:03:29,250 --> 00:03:41,030
135
+ gauge. ููŠู‡ ูุฑู‚. ุงู„ุถุบุท ุจูŠูƒูˆู† ุฃุนู„ู‰ ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆูŠ. ุงู„ู€
136
+
137
+ 35
138
+ 00:03:41,030 --> 00:03:43,850
139
+ pressure may be expressed in units of hydrostatic
140
+
141
+ 36
142
+ 00:03:43,850 --> 00:03:49,960
143
+ force per unit area at the base of a column of liquid.
144
+
145
+ 37
146
+ 00:03:49,960 --> 00:03:59,620
147
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุฃู‚ูŠุณ ุงู„ุถุบุท ู‡ุงูŠ
148
+
149
+ 38
150
+ 00:03:59,620 --> 00:04:08,420
151
+ ุนู†ุฏูŠ ู…ุซู„ู‹ุงุŒ ู†ุญูƒูŠ ุนู†ุฏูŠ
152
+
153
+ 39
154
+ 00:04:08,420 --> 00:04:17,120
155
+ liquidุŒ ุฃู†ุจูˆุจ ุญุฑููŠ ูˆู…ูุชูˆุญุŒ ูˆุถุนู‡ ุงู„ุทุจูŠุนูŠ ูŠูƒูˆู† ุงู„ู…ุณุชูˆู‰
156
+
157
+ 40
158
+ 00:04:17,120 --> 00:04:21,860
159
+ ุงู„ู€ liquid ู‡ู†ุง ู†ูุณ ุงู„ู…ุณุชูˆู‰ ู‡ู†ุง. ู„ูƒู† ู„ูˆ ุญุทูŠุช ุถุบุท ู‡ู†ุง
160
+
161
+ 41
162
+ 00:04:21,860 --> 00:04:28,740
163
+ ู…ุตุฏุฑ ุถุบุทุŒ pressureุŒ ู…ุซู„ู‹ุง ุบุงุฒ ู…ุถุบูˆุท ุฃูˆ ุณุงุฆู„ ู…ุถุบูˆุทุŒ
164
+
165
+ 42
166
+ 00:04:28,740 --> 00:04:35,800
167
+ ุญุณู‘ูŠุชู‡ุŒ ุงู„ูˆุถุน ุงู„ุฌุฏูŠุฏ ู…ุด
168
+
169
+ 43
170
+ 00:04:35,800 --> 00:04:42,380
171
+ ุฒูŠ ู‡ูŠูƒ. ูŠุนู†ูŠ ู…ู…ูƒู† ุนู†ุฏูŠ pressure
172
+
173
+ 44
174
+ 00:04:44,970 --> 00:04:49,950
175
+ ููŠุตูŠุฑ ููŠู‡ ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน H.
176
+
177
+ 45
178
+ 00:04:49,950 --> 00:04:53,530
179
+ ูุงู„ูุฑู‚
180
+
181
+ 46
182
+ 00:04:53,530 --> 00:04:58,470
183
+ ุจุงู„ุถุบุท ู‡ู†ุง ู‡ูˆ ุงู„ุถุบุท ุงู„ุฌูˆูŠุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท ุงู„ู†ุงุชุฌ ุนู†
184
+
185
+ 47
186
+ 00:04:58,470 --> 00:05:04,970
187
+ ุงุฑุชูุงุน ุนู…ูˆุฏ ุงู„ู€ liquid. ู‡ุฐุง ุงู„ู€
188
+
189
+ 48
190
+ 00:05:04,970 --> 00:05:09,110
191
+ standard atmospheric pressureุŒ 101325 ุจุงุณูƒุงู„ ุฃูˆ 14.696 pound
192
+
193
+ 49
194
+ 00:05:09,110 --> 00:05:15,980
195
+ per square inch absolute. ุทุจุนู‹ุง ุนุงุฏุฉ pressureุŒ ุฅุฐุง
196
+
197
+ 50
198
+ 00:05:15,980 --> 00:05:22,400
199
+ ู‡ูˆ absoluteุŒ ุจูƒุชุจ ุฌู†ุจู‡ ุฅุฐุง absoluteุŒ ุนุดุงู† ุงู„ู…ูŠุช
200
+
201
+ 51
202
+ 00:05:22,400 --> 00:05:30,100
203
+ pound per square inch absolute. ุฅุฐุง gaugeุŒ ุจูƒุชุจ ุฌู†ุจู‡
204
+
205
+ 52
206
+ 00:05:30,100 --> 00:05:37,960
207
+ pound per square inch gauge. ู…ู…ูƒู†
208
+
209
+ 53
210
+ 00:05:39,150 --> 00:05:49,850
211
+ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ูŠูุนุจู‘ุฑ ุนู†ู‡ ุจุงุฑุชูุงุน ุนู…ูˆุฏ ู…ู† ุงู„ุฒุฆุจู‚ ุงู„ู„ูŠ ู‡ูˆ
212
+
213
+ 54
214
+ 00:05:49,850 --> 00:05:56,110
215
+ 760 ู…ู„ู… in heightุŒ ุงู„ู„ูŠ ู‡ูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ
216
+
217
+ 55
218
+ 00:05:56,110 --> 00:06:00,730
219
+ ู…ู† ุงู„ุฒุฆุจู‚ 76 ุณู…
220
+
221
+ 56
222
+ 00:06:00,730 --> 00:06:03,490
223
+ ูŠุนุงุฏู„ ุถุบุท 101325 ุจุงุณูƒุงู„ุŒ 14.696 pound per square
224
+
225
+ 57
226
+ 00:06:06,340 --> 00:06:09,640
227
+ ูŠุนุงุฏู„ ุถุบุท 101325 ุจุงุณูƒุงู„ุŒ 14.696
228
+
229
+ 58
230
+ 00:06:09,640 --> 00:06:13,900
231
+ ุจุงุณูƒุงู„ุŒ 14.696 pound per square
232
+
233
+ 59
234
+ 00:06:13,900 --> 00:06:19,280
235
+ inch ุทุจุนู‹ุง
236
+
237
+ 60
238
+ 00:06:19,280 --> 00:06:24,720
239
+ ููŠู‡ ุชุญูˆูŠู„ุงุช ุจูŠู† ุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู„ุถุบุท. ู‡ู†ุง ุงู„ุฌุฏูˆู„
240
+
241
+ 61
242
+ 00:06:24,720 --> 00:06:31,400
243
+ ุงู„ู…ุจูŠู† ูŠู‚ู„ ุชุญูˆูŠู„ุงุช ุจูŠู† ุงู„ุจุงุณูƒุงู„ ูˆุฃูŠ ูˆุญุฏุฉ ุซุงู†ูŠุฉ.
244
+
245
+ 62
246
+ 00:06:31,400 --> 00:06:35,730
247
+ ูŠุนู†ูŠ ุนู†ุฏูŠ ู‡ู†ุง one micro barุŒ ูŠุนู†ูŠ ุงู„ู€..ุงู„ู€..ุงู„ู€..
248
+
249
+ 63
250
+ 00:06:35,730 --> 00:06:40,510
251
+ ุงู„ู€ barุŒ ุงู„ู€ micro bar ูˆุงุญุฏ ู…ู† ุฃู„ู ู…ู† ุงู„ู€ bar. one
252
+
253
+ 64
254
+ 00:06:40,510 --> 00:06:54,570
255
+ micro bar ุจูŠุณุงูˆูŠ 0.1 ุจุงุณูƒุงู„. ุนู†ุฏูŠ
256
+
257
+ 65
258
+ 00:06:54,570 --> 00:07:00,470
259
+ ู…ุซู„ู‹ุง ูˆุงุญุฏ millimeter H2O ุจูŠุณุงูˆูŠ 9.807 ุจุงุณูƒุงู„.
260
+
261
+ 66
262
+ 00:07:00,470 --> 00:07:01,970
263
+ ุจุงุณูƒุงู„.
264
+
265
+ 67
266
+ 00:07:05,450 --> 00:07:14,630
267
+ ูˆุงุญุฏ ู…ู„ูŠู…ุชุฑ Hg ูŠุณุงูˆูŠ 133.3 ุจุงุณูƒุงู„. ูˆ ุงู†ุด
268
+
269
+ 68
270
+ 00:07:14,630 --> 00:07:19,190
271
+ 133.3 ุจุงุณูƒุงู„.
272
+
273
+ 69
274
+ 00:07:24,690 --> 00:07:29,950
275
+ ูˆุงุญุฏ ุฅู†ุด ู…ุงุก ูŠุณุงูˆูŠ 249.1 ุจุงุณูƒุงู„. ูˆูƒุฐุง ููŠู‡
276
+
277
+ 70
278
+ 00:07:29,950 --> 00:07:33,790
279
+ ููŠ ูƒู„ ุงู„ู€.. ุงู„ู…ุฑุฌุน ุงู„ู„ูŠ ุนู†ุฏูŠุŒ ุฅูŠู‡ู…ุงุดู‡ูˆ ุงู„ุจุงุณูƒุงู„
280
+
281
+ 71
282
+ 00:07:33,790 --> 00:07:41,930
283
+ ุงู„ุฃูƒุซุฑ ุดูŠูˆุนู‹ุง ู‡ูˆ ุงู„ุจุงุณูƒุงู„ ูˆุงู„ู€ PSI ูˆุงู„ู€ bar. ุงู„ู€ bar
284
+
285
+ 72
286
+ 00:07:41,930 --> 00:07:46,750
287
+ ุชู‚ุฑูŠุจู‹ุง ุจูŠุณุงูˆูŠ 10 ู…ูŠุฌุง ุจุงุณูƒุงู„ ุฃูˆ ุจูŠุณุงูˆูŠ ุงู„ู€ bar
288
+
289
+ 73
290
+ 00:07:46,750 --> 00:07:52,270
291
+ ุญูˆุงู„ูŠ 100 ุฃู„ู ุจุงุณูƒุงู„ุŒ 100 ุฃู„ู ุจุงุณูƒุงู„ ุจุงู„ุธุจุท ูŠุนู†ูŠ.
292
+
293
+ 74
294
+ 00:07:52,270 --> 00:08:02,330
295
+ ู„ู…ุง ุฃุญูˆู„ ุฅู„ู‰ ู…ูŠุฌุง ุจุงุณูƒุงู„ุŒ ุฃุถุฑุจ ููŠ ู…ูŠุฌุง ุจุงุณูƒุงู„. ุงู„ุขู†
296
+
297
+ 75
298
+ 00:08:02,330 --> 00:08:06,310
299
+ ููŠ ุงู„ู€ pressure ู‡ู†ุนุฑู ุนู„ูŠู‡ ู…ุตุทู„ุญูŠู†ุŒ ูุนู†ุฏูŠ static
300
+
301
+ 76
302
+ 00:08:06,310 --> 00:08:15,250
303
+ pressureุŒ ููŠู‡ dynamic pressureุŒ ูˆููŠู‡ total pressure. ุงู„ู€
304
+
305
+ 77
306
+ 00:08:15,250 --> 00:08:17,510
307
+ static pressureุŒ ุฅุฐุง ุนู†ุฏูŠ ู…ุซู„ู‹ุง container
308
+
309
+ 78
310
+ 00:08:21,420 --> 00:08:29,880
311
+ ูˆููŠ liquidุŒ ูˆู‚ุณุช ุงู„ุถุบุท ู‡ู†ุงุŒ ุงู„ู€ liquid is static
312
+
313
+ 79
314
+ 00:08:29,880 --> 00:08:39,900
315
+ ู„ุฃู† ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„ ู…ู† ู‡ู†ุงุŒ ูˆู‡ู†ุง ุฃู‚ู„ ู…ู† ู‡ู†ุง. ุงู„ุถุบุท ุงู„ู€
316
+
317
+ 80
318
+ 00:08:39,900 --> 00:08:45,980
319
+ gauge pressure ุจูŠุชุบูŠู‘ุฑ linearlyุŒ ุตุญุŸ
320
+
321
+ 81
322
+ 00:08:51,540 --> 00:08:57,740
323
+ ู„ูˆ ุนุฑูุช ู‡ุฐุง YุŒ ู‡ูŠูƒูˆู†
324
+
325
+ 82
326
+ 00:08:57,740 --> 00:09:03,780
327
+ ุฏูŠ ุงู„ู€ pressure gaugeุŒ ู„ุฃู† ู‡ู†ุง ููŠู‡ ุนู†ุฏูŠ ุนู…ูˆุฏ ู…ู†
328
+
329
+ 83
330
+ 00:09:03,780 --> 00:09:13,580
331
+ pressure. ู…ุง ุชุนู…ู„ุŒ ุฃู†ุง ุตูุฑ gauge ุจูŠุณุงูˆูŠ ู…ุฌู…ูˆุน Y
332
+
333
+ 84
334
+ 00:09:13,580 --> 00:09:25,210
335
+ ุตุญุŸ ุงู„ู‚ูŠู…ุฉ ุงู„ู„ูŠ ู‡ูŠ ุฑูˆ ููŠ ุฌูŠ ููŠ ูˆุงูŠ. ุฑูˆ ู‡ูŠ ุฅูŠุดุŸ ูƒุซุงูุฉ
336
+
337
+ 85
338
+ 00:09:25,210 --> 00:09:30,310
339
+ ูˆุงู„ู€ ุฌูŠ
340
+
341
+ 86
342
+ 00:09:30,310 --> 00:09:36,370
343
+ ุงู„ู„ูŠ ู‡ูŠ acceleration of gravityุŒ ูˆุงู„ู€ ูˆุงูŠ
344
+
345
+ 87
346
+ 00:09:36,370 --> 00:09:42,130
347
+ ุงู„ุนู…ู‚ุŒ ุงู„ู€ depth below
348
+
349
+ 88
350
+ 00:09:49,360 --> 00:09:52,440
351
+ surface. ูู‡ูˆ ุงู„ู€ static pressure. ู‡ูˆ pressure filled
352
+
353
+ 89
354
+ 00:09:52,440 --> 00:09:55,700
355
+ ูˆุงู„ู€ fluid is at rest. ุฅุฐุง ูƒุงู† ุงู„ู€ fluid ุจุญุงู„ุฉ
356
+
357
+ 90
358
+ 00:09:55,700 --> 00:10:02,660
359
+ ุงู„ุณูƒูˆู†ุŒ ุฃูˆ ุฅุฐุง ุฃู†ุง ุนู†ุฏูŠ fluid ู…ุงุดูŠุŒ fluid ู…ุงุดูŠ ูˆ
360
+
361
+ 91
362
+ 00:10:02,660 --> 00:10:06,140
363
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจุขุฎุฐ ุงู„ู‚ุฑุงุกุฉ ู…ุงุดูŠ ู…ุนุงู‡ ุจู†ูุณ ุงู„ุณุฑุนุฉ
364
+
365
+ 92
366
+ 00:10:09,740 --> 00:10:13,940
367
+ ูˆุจุงู„ุชุงู„ูŠ ุณุฑุนุฉ ุงู„ุฌู‡ุงุฒ ุจุงู„ู†ุณุจุฉ ู„ุณุทุญ ุงู„ู€ fluid ุจุชูƒูˆู†
368
+
369
+ 93
370
+ 00:10:13,940 --> 00:10:18,420
371
+ ุตูุฑ. ุฒูŠ ูƒุฃู†ูƒ ููŠ ุณูŠุงุฑุฉุŒ ุฃู†ุช ูˆุจุงู„ุชุงู„ูŠ ูƒุฃู†ู‡
372
+
373
+ 94
374
+ 00:10:18,420 --> 00:10:23,680
375
+ at rest. ุงู„ู€
376
+
377
+ 95
378
+ 00:10:23,680 --> 00:10:27,740
379
+ force exerted on a fluid particle from all
380
+
381
+ 96
382
+ 00:10:27,740 --> 00:10:30,180
383
+ directions is the same. ูŠุนู†ูŠ ุงู„ู€ pressure ุนู†ุฏ ุงู„ู†ู‚ุทุฉ
384
+
385
+ 97
386
+ 00:10:30,180 --> 00:10:33,840
387
+ ู‡ุฐู‡ ููŠ ูƒู„ ุงู„ุงุชุฌุงู‡ุงุช ููŠู‡ pressureุŒ ููŠ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ุŒ ููŠ
388
+
389
+ 98
390
+ 00:10:33,840 --> 00:10:36,740
391
+ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ุŒ ููŠ ูƒู„ ุงู„ุงุชุฌุงู‡ุงุช ููŠู‡ pressure ู†ูุณ ุงู„ู‚ูŠู…ุฉ
392
+
393
+ 99
394
+ 00:10:38,110 --> 00:10:43,410
395
+ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡. ุทุจุนู‹ุง ุงู„ู€ pressure at this location is
396
+
397
+ 100
398
+ 00:10:43,410 --> 00:10:47,430
399
+ the same regardless of direction. ู…ูุบุงุฏุฑุฉ ุนู„ู‰
400
+
401
+ 101
402
+ 00:10:47,430 --> 00:10:52,850
403
+ ุงู„ุงุชุฌุงู‡ ุนุงุฏุฉ.
404
+
405
+ 102
406
+ 00:10:52,850 --> 00:10:55,210
407
+ ุงู„ู€ pressure measured with gauges and transmitters
408
+
409
+ 103
410
+ 00:10:55,210 --> 00:11:03,590
411
+ attached to the side of a pipe. ุฅุฐุง ุนู†ุฏูŠ pipe ูˆ
412
+
413
+ 104
414
+ 00:11:03,590 --> 00:11:11,710
415
+ ููŠู‡ุง fluid. ู„ูˆ ูุชุญุช ูุชุญุฉ ู…ู† ู‡ู†ุงุŒ ุทุจุนู‹ุง ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„ู€
416
+
417
+ 105
418
+ 00:11:11,710 --> 00:11:19,050
419
+ fluid ููŠ ุงู„ู€ pipe ุซุงุจุชุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ flow ู…ุง ูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ
420
+
421
+ 106
422
+ 00:11:19,050 --> 00:11:26,730
423
+ ุงู„ุณุฑุนุงุช ุจุชุงุนุชู‡ ู‡ู†ุง
424
+
425
+ 107
426
+ 00:11:26,730 --> 00:11:32,210
427
+ ุงู„ุณุฑุนุฉ ุจุชูƒูˆู† ุชุณุงูˆูŠ ุตูุฑ ูˆู‡ู†ุง ุตูุฑุŒ ููŠ ุงู„ู…ุตุฏุฑ
428
+
429
+ 108
430
+ 00:11:32,210 --> 00:11:37,120
431
+ maximum. ุฅุฐุง ู…ุงุดูŠ fluid ูˆููŠู‡ pressure..ููŠู‡
432
+
433
+ 109
434
+ 00:11:37,120 --> 00:11:41,060
435
+ static pressureุŒ ู‡ูŠุทู„ุน
436
+
437
+ 110
438
+ 00:11:41,060 --> 00:11:51,840
439
+ ุตุญุŸ ู‡ูŠุตู„ ู„ุงุฑุชูุงุน ู…ุนูŠู†. ู‡ุฐุง ุงู„ู€ static pressure
440
+
441
+ 111
442
+ 00:11:51,840 --> 00:11:59,020
443
+ ููŠ
444
+
445
+ 112
446
+ 00:11:59,020 --> 00:12:05,180
447
+ ุฅู† dynamic pressure. dynamic pressure ุจูŠู…ุซู„ ุงู„ู€
448
+
449
+ 113
450
+ 00:12:05,180 --> 00:12:09,760
451
+ kinetic energy ู„ู„ู€ flowing fluid. ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ุงุดูŠ
452
+
453
+ 114
454
+ 00:12:09,760 --> 00:12:18,280
455
+ fluid ุจุณุฑุนุฉ V. ูŠุนู†ูŠ ู…ุซู„ู‹ุง ุฃู†ุช ุญุงู„ูŠู‹ุงุŒ ุฅุญู†ุง ุญุงู„ูŠู‹ุง ููŠ
456
+
457
+ 115
458
+ 00:12:18,280 --> 00:12:24,700
459
+ ุบุฑูุฉ ุงู„ู„ูŠ ู‡ูˆ ููŠู‡ุง ุณุงูƒู†ุŒ ู…ุง ุชุญุณุด ููŠู‡ ุถุบุท ุฌุงูŠ ุนู„ูŠูƒุŒ ุตุญุŸ
460
+
461
+ 116
462
+ 00:12:24,700 --> 00:12:28,980
463
+ ู„ูƒู† ุชุฎูŠู‘ู„ ููŠู‡ ุฑูŠุญ.. ุฑูŠุญ ุฌุงู…ุฏุฉ ุจุชู‡ุจ..ุจุชู’ู‡ูุจ ูŠุนู†ูŠ ุจุชุญุณ
464
+
465
+ 117
466
+ 00:12:28,980 --> 00:12:35,480
467
+ ุจูŠุญุงูˆู„ ูŠุฏูุนูƒ ู„ู„ุฎู„ู. ู‡ุฐุง ู‡ูˆ ุงู„ู€ dynamic pressureุŒ ู‡ูˆ ุงู„ู€
468
+
469
+ 118
470
+ 00:12:35,480 --> 00:12:39,500
471
+ pressure due to the kinetic energy of fluid. ุนุดุงู†
472
+
473
+ 119
474
+ 00:12:39,500 --> 00:12:45,100
475
+ ูŠูƒูˆู† ูŠุณุงูˆูŠ ู†ุต QุŒ ูŠุณุงูˆูŠ ู†ุต rho V ุชุฑุจูŠุน. ุงู„ู€ Q ุดูˆููˆุง
476
+
477
+ 120
478
+ 00:12:45,100 --> 00:12:52,520
479
+ ูˆุญุฏุชู‡ QุŒ ูŠุณุงูˆูŠ ู†ุต rho V ุชุฑุจูŠุน.
480
+
481
+ 121
482
+ 00:13:00,010 --> 00:13:08,570
483
+ ุงู„ู€ ุฑูˆ ูˆุญุฏุชู‡ุง ุฅูŠุดุŸ ูƒูŠู„ูˆุฌุฑุงู…/ู…ุชุฑ ู…ูƒุนุจุŒ ูˆุงู„ู€ V ู…ุชุฑ
484
+
485
+ 122
486
+ 00:13:08,570 --> 00:13:15,590
487
+ /ุซุงู†ูŠุฉ. ุชุฑุจูŠุนู‡ุง ุจูŠุตูŠุฑ ู…ุชุฑ ุชุฑุจูŠุน/ุซุงู†ูŠุฉ ุชุฑุจูŠุน.
488
+
489
+ 123
490
+ 00:13:15,590 --> 00:13:21,690
491
+ ุจุงู„ุณุงูˆูŠ ูƒูŠู„ูˆุฌุฑุงู… ูƒูŠู„ูˆ
492
+
493
+ 124
494
+ 00:13:21,690 --> 00:13:26,530
495
+ ุฌุฑุงู…. ุจุฏูŠ ุฃุดูŠู„ุŒ ุฃุฎู„ูŠ ูˆุงุญุฏุฉ ู…ู† ู‡ู†ุงุŒ ูˆุฃุดูŠู„ ู‡ู†ุง ุนู„ู‰ ู…ุชุฑ
496
+
497
+ 125
498
+ 00:13:26,530 --> 00:13:33,210
499
+ ู…ุฑุจุนุŒ ุฃูˆ ู‡ุฎู„ูŠู‡ุง ุจุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ: ุฃุฎู„ูŠ ูƒูŠู„ูˆุฌุฑุงู…/ู…ุชุฑ
500
+
501
+ 126
502
+ 00:13:33,210 --> 00:13:43,790
503
+ ู…ูƒุนุจ ููŠ ู…ุชุฑ/ุซุงู†ูŠุฉุŒ ุจูŠุตูŠุฑ
504
+
505
+ 127
506
+ 00:13:43,790 --> 00:13:49,430
507
+ ุฒูŠ ู‡ูŠูƒ: ูƒูŠู„ูˆุฌุฑุงู…/ู…ุชุฑ ู…ูƒุนุจุŒ ุงู„ู…ุชุฑ ุจูŠุตูŠุฑ ู…ุชุฑ ููŠ
508
+
509
+ 128
510
+ 00:13:49,430 --> 00:13:55,510
511
+ ู…ุชุฑ/ุซุงู†ูŠุฉ ุชุฑุจูŠุนุŒ ูŠุนู†ูŠ ู‡ุณู‘ุฉ ูƒูŠู„ูˆุฌุฑุงู…/ู…ุชุฑ
512
+
513
+ 129
514
+ 00:13:55,510 --> 00:13:56,330
515
+ ูƒูŠู„ูˆุฌุฑุงู…
516
+
517
+ 130
518
+ 00:13:58,800 --> 00:14:09,400
519
+ ู‡ุชุณุงูˆูŠ ูƒูŠู„ูˆุฌุฑุงู… ู…ุชุฑ/ุซุงู†ูŠุฉ ุชุฑุจูŠุน ููŠ ูˆุงุญุฏ/ู…ุชุฑ ู…ุฑุจุนุŒ ุตุญุŸ ูƒูŠู„ูˆุฌุฑุงู… ู‡ุฐู‡ ูˆุญุฏุฉ ุฅูŠู‡ุŸ ู‡ุฐู‡ mass ููŠ
520
+
521
+ 131
522
+ 00:14:09,400 --> 00:14:16,720
523
+ accelerationุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ู†ูŠูˆุชู†ุŒ ุงู„ู„ูŠ ู‡ูŠ ุนุจุงุฑุฉ
524
+
525
+ 132
526
+ 00:14:16,720 --> 00:14:23,000
527
+ ุนู†ุŒ ุจุณ ูƒุฏู‡ุŒ ู‡ูŠ ูˆุญุฏุฉ ุถุบุท.
528
+
529
+ 133
530
+ 00:14:32,770 --> 00:14:37,430
531
+ ู…ุนู†ุงุชู‡ ุงู„ู€ Q ุฃูˆ ุงู„ู€ dynamic pressure ู‡ูˆ pressure
532
+
533
+ 134
534
+ 00:14:37,430 --> 00:14:44,530
535
+ felt due to motion of the fluid. ู‡ูˆ ุงู„ุถุบุท ุงู„ู„ูŠ ุจุญุณู‘ู‡
536
+
537
+ 135
538
+ 00:14:44,530 --> 00:14:50,190
539
+ ู†ุชูŠุฌุฉ ุญุฑูƒุฉ ุงู„ู€ fluid. ุงู„ุขู†
540
+
541
+ 136
542
+ 00:14:50,190 --> 00:14:51,090
543
+ ุงู„ู€ total pressure
544
+
545
+ 137
546
+ 00:14:57,800 --> 00:15:07,220
547
+ ุจูŠุณุงูˆูŠ ุงู„ู„ูŠ ู‡ูˆ P static ุฒุงุฆุฏ P dynamic. ู…ุนู†ุงุชู‡ pressure
548
+
549
+ 138
550
+ 00:15:07,220 --> 00:15:22,020
551
+ ู…ู…ูƒู† ุฃู‚ุณู…ู‡ ู„ุฌุฒุฆูŠู†: ุฌุฒุก static ูˆุฌุฒุก dynamic. ุงู„ู€
552
+
553
+ 139
554
+ 00:15:22,020 --> 00:15:27,380
555
+ total pressure ู‡ูˆ ุงู„ู€ force ู„ูƒู„ ูˆุญุฏุฉ ู…ุณุงุญุฉ ุงู„ู„ูŠ ุจู†ุญุณู‘ ููŠู‡
556
+
557
+ 140
558
+ 00:15:28,580 --> 00:15:34,260
559
+ ู†ุชูŠุฌุฉ ุถุบุท ุงู„ู€ fluid when fluid ุจูŠุตู„ ู„ุญุงู„ุฉ ุงู„ุชูˆู‚ู.
560
+
561
+ 141
562
+ 00:15:34,260 --> 00:15:39,300
563
+ ูŠุนู†ูŠ ุฃู†ุง ู…ุงุดูŠุŒ ุจูˆุงุฌู‡ ุงู„ุฑูŠุงุญุŒ ุฅุฐุง ุฃู†ุง ุซุงุจุช ูˆู‡ุจู‘ุช ุฑูŠุญ
564
+
565
+ 142
566
+ 00:15:39,300 --> 00:15:44,420
567
+ ุฌุงู…ุฏุฉุŒ ู‡ุญุณ ููŠ ุถุบุท. ุงู„ุถุบุท ุงู„ู„ูŠ ุจุญุณู‘ู‡ ููŠู‡ ู„ูŠุณ ูู‚ุท ุงู„ู„ูŠ
568
+
569
+ 143
570
+ 00:15:44,420 --> 00:15:50,600
571
+ ู‡ูˆ ุงู„ู€ dynamic ูู‚ุทุŒ ู„ุฃู† ุฃู†ุง ู„ูˆ ููŠุด ุญุฑูƒุฉ ู„ู„ู‡ูˆุงุกุŒ
572
+
573
+ 144
574
+ 00:15:50,600 --> 00:15:55,180
575
+ ุงู„ู‡ูˆุงุก ู…ุญูŠุท ู…ู† ูƒู„ ุงู„ุฌู‡ุงุชุŒ ู…ุนู†ุงุชู‡ ููŠู‡ ุถุบุท. ู„ูƒู† ุงู„ู‡ูˆุงุก
576
+
577
+ 145
578
+ 00:15:55,180 --> 00:16:00,830
579
+ ู…ุญูŠุท ู…ู† ูƒู„ ุงู„ุฌู‡ุงุช ูˆููŠู‡ ู„ู‡ ุณุฑุนุฉุŒ ูุจุญุณ ุจู€ total pressure.
580
+
581
+ 146
582
+ 00:16:00,830 --> 00:16:04,890
583
+ total pressure due to stagnation. stagnation ุฅู†ู‡
584
+
585
+ 147
586
+ 00:16:04,890 --> 00:16:09,590
587
+ ุฃู†ุง ุฌุณู… ุนู…ู„ุช ู„ู‡ ุฅูŠู‚ุงู. ู†ุชูŠุฌุฉ ุงู„ุฅูŠู‚ุงู ุงู„ู€ kinetic
588
+
589
+ 148
590
+ 00:16:09,590 --> 00:16:16,390
591
+ energy ุงุชุญูˆู‘ู„ุช ู„ุฅูŠุดุŸ ู„ู€ pressure force. ุทุจุนู‹ุง
592
+
593
+ 149
594
+ 00:16:16,390 --> 00:16:20,050
595
+ ุงู„ู€ total pressure ุฃูˆ ุงู„ู€ static pressure are
596
+
597
+ 150
598
+ 00:16:20,050 --> 00:16:25,960
599
+ usually measured using a pitot tube. ุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„ู€
600
+
601
+ 151
602
+ 00:16:25,960 --> 00:16:29,000
603
+ total pressure ู‡ูˆ ู…ุฌู…ูˆุน ุงู„ู€ static pressure ูˆุงู„ู€
604
+
605
+ 152
606
+ 00:16:29,000 --> 00:16:36,800
607
+ dynamic pressure. ู„ุฃู† ุฅูŠุด ู‡ูŠ ุงู„ู€ pitot tubeุŸ pitot
608
+
609
+ 153
610
+ 00:16:36,800 --> 00:16:43,920
611
+ tube ุนุจุงุฑุฉ ุนู† a tube ุฒูŠ ุงู„ู€ double jacketุŒ ููŠู‡ ูุชุญุฉ
612
+
613
+ 154
614
+ 00:16:43,920 --> 00:16:48,400
615
+ ุฒูŠ ู…ุง ุฃู†ุชู… ุดุงูŠููŠู†ู‡ุงุŒ ูˆููŠ ุฅู†ุญู†ุงุก ุจุฑุถู‡ ููŠู‡ ุชุฌูˆูŠู
616
+
617
+ 155
618
+ 00:16:48,400 --> 00:16:53,200
619
+ ูุงุฑุบ ูŠุนู†ูŠุŒ ุฃู†ุจูˆุจ ุฌูˆุฉ ุฃู†ุจูˆุจุŒ ูŠุนู†ูŠ ู‡ูŠ ุฃู†ุจูˆุจุฉ ูˆู‡ูŠ ุฃู†ุจูˆุจ.
620
+
621
+ 156
622
+ 00:16:53,200 --> 00:16:57,260
623
+ ุงู„ูุชุญุฉุŒ ุงู„ุฃู†ุจูˆุจ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุฃุตูุฑุŒ ูุชุญุฉ ู…ู† ู‡ู†ุงุŒ
624
+
625
+ 157
626
+ 00:16:57,260 --> 00:17:03,840
627
+ ูŠุนู†ูŠ ุฌุงูŠุฉ ุนู„ู‰ ุงู„ู…ุญูŠุทุŒ ุฌุงูŠุฉ ุนู„ู‰ ุงู„ู…ุญูŠุท ูŠุนู†ูŠ ู…ูุชูˆุญุฉ
628
+
629
+ 158
630
+ 00:17:03,840 --> 00:17:10,600
631
+ ู…ู† ุงู„ุฌู†ุงุจ. ุงู„ุขู† ุฅุฐุง ููŠ ุนู†ุฏูŠ flow ู…ุงุดูŠุŒ flow ู…ุงุดูŠุŒ
632
+
633
+ 159
634
+ 00:17:10,600 --> 00:17:15,320
635
+ ุงู„ุขู† ู‡ูŠุฎุด ุงู„ู€ total flowุŒ ู‡ูŠุฎุด ู…ู† ู‡ู†ุงุŒ ุงู„ู€ total flowุŒ
636
+
637
+ 160
638
+ 00:17:15,320 --> 00:17:21,500
639
+ ู‡ูŠุฎุด ู…ู† ู‡ู†ุงุŒ ุตุญุŸ ููŠ ุนู†ุฏูŠ ุงู„ู€ fluid ู‡ู†ุง ุงู„ู…ู„ุงู…ุณ ู‡ูŠูƒูˆู†
640
+
641
+ 161
642
+ 00:17:21,500 --> 00:17:21,900
643
+ static
644
+
645
+ 162
646
+ 00:17:25,870 --> 00:17:30,130
647
+ ูุงู„ู‡ูˆุงุก ุงู„ู„ูŠ ุฃูˆ ุงู„ู€ fluid ุงู„ู„ูŠ ุฏุงุฎู„ ู…ู† ู‡ู†ุงุŒ ุงู„ู„ูŠ ู‡ูˆ
648
+
649
+ 163
650
+ 00:17:30,130 --> 00:17:36,030
651
+ ุฌุงูŠ ู…ู† ู‡ู†ุงุŒ ู„ุฃู† ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุฃุตูุฑ it feels static
652
+
653
+ 164
654
+ 00:17:36,030 --> 00:17:45,170
655
+ pressure. ุงู„ุฃุจูŠุถ it feels ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุดุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
656
+
657
+ 165
658
+ 00:17:45,170 --> 00:17:50,250
659
+ total pressure. ุงู„ู€ total pressureุŒ ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช
660
+
661
+ 166
662
+ 00:17:50,250 --> 00:17:53,870
663
+ ูุชุญุฉ ู‡ู†ุง ูˆุนู…ู„ุชุŒ ุญุทูŠุช manometerุŒ
664
+
665
+ 167
666
+ 00:18:04,420 --> 00:18:13,040
667
+ ู‡ุชุตูŠุฑ ุฅุดูŠ ุฒูŠ ู‡ูŠูƒ. ุนู†ุฏูŠ ู‡ุฐุง
668
+
669
+ 168
670
+ 00:18:13,040 --> 00:18:19,560
671
+ ุฅูŠู‡ุŸ ุฅูŠุด ุงู„ู€ total pressureุŒ ุฅุฐุง
672
+
673
+ 169
674
+ 00:18:19,560 --> 00:18:22,840
675
+ ุญุทูŠุช manometer ู‡ู†ุงุŒ ุฎู„ู‘ู†ุง ู†ุญูƒูŠ ู†ูุณ ุงู„ุญุฌู…
676
+
677
+ 170
678
+ 00:18:38,470 --> 00:18:44,990
679
+ ู‡ุฐุง ู‡ูŠูƒูˆู† P static. ู…ุง ุจู†ู‚ูŠุณุด
680
+
681
+ 171
682
+ 00:18:44,990 --> 00:18:52,310
683
+ ู‡ุฐุง ู‡ูŠูƒูˆู† ู‡ุฐุง P dynamic. ุตุญุŒ ุงู„ู€ static pressure ู‡ูŠูƒูˆู†
684
+
685
+ 172
686
+ 00:18:52,310 --> 00:19:00,530
687
+ ุฃู‚ู„ ู…ู† ุงู„ู€ total pressure. ูู†ูุณ ุงู„ุฃู†ุจูˆุจ ู‡ุฐุง pitot
688
+
689
+ 173
690
+ 00:19:00,530 --> 00:19:08,970
691
+ tubeุŒ built in ููŠู‡ุงุŒ ุจูŠู‚ูŠุณ both ุงู„ู€ static pressure ูˆุงู„ู€
692
+
693
+ 174
694
+ 00:19:08,970 --> 00:19:13,590
695
+ dynamic pressure. dynamic pressure ุชุชูู„ู‘ูˆ it
696
+
697
+ 175
698
+ 00:19:13,590 --> 00:19:18,890
699
+ comes to stagnation. ุงู„ูู„ูˆุช ูƒู„ู‡ ู„ุฃู† ู‡ูˆ ุจูŠูƒูˆู† ู…ุชุญุฑูƒ
700
+
701
+ 176
702
+ 00:19:18,890 --> 00:19:24,930
703
+ ุฅูŠุด ู‡ูŠ ุงู„ู€ kinetic energyุŸ ูƒุฃู†ู‡ ุดุฎุต ุจูŠุตุฏ ุงู„ุฑูŠุญุŒ ูƒุฃู†ู‡
704
+
705
+ 177
706
+ 00:19:24,930 --> 00:19:29,730
707
+ ุดุฎุต ุจูŠุตุฏ ุงู„ุฑูŠุญุŒ ูุฃู†ุง I measure it total. ู„ูƒู† ู‡ู†ุง
708
+
709
+ 178
710
+ 00:19:29,730 --> 00:19:37,750
711
+ ู„ุฏุงุฎู„ ู…ู† ุงู„ุฌู†ุงุจ it is. ุงู„ู€ flow is flowing. ู„ุฃู† ุงู„ุฃู†ุจูˆุจ
712
+
713
+ 179
714
+ 00:19:37,750 --> 00:19:43,910
715
+ ุงู„ู…ู„ุงู…ุณ ุณุฑุนุฉ ุงู„ู€ flow ู‡ู†ุง ู…ุด ุชุณุงูˆูŠ ุตูุฑุŒ ูุฃู†ุง ู‡ู†ุง
716
+
717
+ 180
718
+ 00:19:43,910
719
+
720
+ 223
721
+ 00:23:49,270 --> 00:23:54,710
722
+ deflectionุŒ ู…ุงู†ุน ุงู„ู€ force I convert into a
723
+
724
+ 224
725
+ 00:23:54,710 --> 00:24:02,170
726
+ deflection I measure or amplifyุŒ ุจุฃุนู…ู„ ู‚ูŠุงุณ ุฃูˆ ุจูƒุจุฑ
727
+
728
+ 225
729
+ 00:24:02,170 --> 00:24:09,650
730
+ ุงู„ู€ deflection ุนุดุงู† ูŠูƒูˆู† ู‚ุงุจู„ ู„ู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุฃู†ุง
731
+
732
+ 226
733
+ 00:24:09,650 --> 00:24:13,330
734
+ ุญุงูƒูŠู‡ ุฅู† ุฅุญู†ุง ุงู„ู€ force is measured directly or
735
+
736
+ 227
737
+ 00:24:15,050 --> 00:24:18,550
738
+ indirectly ููŠ ุญุงู„ุฉ ุงู„ู€ indirect force measured
739
+
740
+ 228
741
+ 00:24:18,550 --> 00:24:23,170
742
+ ุงู„ุญุงู„ุฉ ุงู„ุซุงู†ูŠุฉ ุฅุญู†ุง ุญูƒูŠู†ุง ุงู„ู€ force is used to
743
+
744
+ 229
745
+ 00:24:23,170 --> 00:24:26,470
746
+ produce a deflection on an elastic member ุงู„ู€
747
+
748
+ 230
749
+ 00:24:26,470 --> 00:24:29,610
750
+ elastic member ูŠูƒูˆู† ู…ู†ุญู†ูŠ ุงู„ู€ tube ุฃูˆ ุงู„ู€ diaphragm
751
+
752
+ 231
753
+ 00:24:29,610 --> 00:24:33,330
754
+ ุบุดุงุก ุงู„ู€
755
+
756
+ 232
757
+ 00:24:33,330 --> 00:24:37,050
758
+ deflection may be measured either mechanically or
759
+
760
+ 233
761
+ 00:24:37,050 --> 00:24:39,930
762
+ by a secondary electrical transducer ู…ู…ูƒู† ุงู„ู€
763
+
764
+ 234
765
+ 00:24:39,930 --> 00:24:44,080
766
+ deflection ูŠู‚ุงุณ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุฃูˆ ุจุงุณุชุฎุฏุงู… ู…ูุฌูŽุงุฒ
767
+
768
+ 235
769
+ 00:24:44,080 --> 00:24:50,400
770
+ ูƒู‡ุฑุจุงุฆูŠ ูŠุนู†ูŠ ุงู„ู€ deflection ู…ู…ูƒู† ูŠูุนู…ูู„ ุชุบูŠูŠุฑ ููŠ ุงู„ู€
771
+
772
+ 236
773
+ 00:24:50,400 --> 00:24:55,300
774
+ resistance ู…ู…ูƒู† ุฃุณุชุฎุฏู… string gauge to measure ุงู„ู€
775
+
776
+ 237
777
+ 00:24:55,300 --> 00:24:59,280
778
+ deflection ู…ู…ูƒู† ุฃุณุชุฎุฏู… inductive ุฃูˆ capacitive
779
+
780
+ 238
781
+ 00:24:59,280 --> 00:25:03,460
782
+ sensor ูŠุนู†ูŠ ุจุทุฑูŠู‚ุฉ ูƒู‡ุฑุจุงุฆูŠุฉ ุฅู† ุนู…ู„ูŠุฉ deflection
783
+
784
+ 239
785
+ 00:25:03,460 --> 00:25:11,830
786
+ ุจุญูˆู„ู‡ุง ู„ุฅุดุงุฑุฉ ูƒู‡ุฑุจุงุฆูŠุฉ ู…ู…ูƒู† ู‚ูŠุงุณู‡ุง ุจุญุงู„ุงุช ุซุงู†ูŠุฉ
787
+
788
+ 240
789
+ 00:25:11,830 --> 00:25:15,830
790
+ ูƒุงู† ุฏูŠ pressure induces strain may change
791
+
792
+ 241
793
+ 00:25:15,830 --> 00:25:18,770
794
+ electrical properties of the elastic member itself
795
+
796
+ 242
797
+ 00:25:18,770 --> 00:25:22,710
798
+ ูŠุนู†ูŠ ุงู„ู€ .. ุงู„ู€ member ุงู„ู„ูŠ ุฃู†ุง ุจุฃุนู…ู„ู‡ deformation
799
+
800
+ 243
801
+ 00:25:23,860 --> 00:25:26,520
802
+ deformation ู†ุงุชุฌุฉ ุนู† force ูˆ ุงู„ู€ force ู†ุงุชุฌุฉ ุนู† ุงู„ู€
803
+
804
+ 244
805
+ 00:25:26,520 --> 00:25:30,260
806
+ pressureุŒ ุงู„ู†ุชูŠุฌุฉ ุงู„ู€ deformation ุงู„ุฎูˆุงุต ุงู„ูƒู‡ุฑุจุงุฆูŠุฉ
807
+
808
+ 245
809
+ 00:25:30,260 --> 00:25:33,820
810
+ ุงู„ู€ elastic member ุชุชุบูŠุฑุŒ ุฃู†ุง ุจู‚ูŠุณ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุฎูˆุงุต
811
+
812
+ 246
813
+ 00:25:33,820 --> 00:25:36,800
814
+ ุงู„ูƒู‡ุฑุจุงุฆูŠุฉ ูˆ ุงู„ู„ูŠ ููŠ ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ูˆุจูŠู† ุงู„ุฎูˆุงุต
815
+
816
+ 247
817
+ 00:25:36,800 --> 00:25:40,000
818
+ ุงู„ูƒู‡ุฑุจุงุฆูŠุฉ ูˆ ุงู„ู€ deflection ูˆ ุงู„ู€ deflection ุงู„ู„ูŠ
819
+
820
+ 248
821
+ 00:25:40,000 --> 00:25:42,280
822
+ ุนู„ุงู‚ุฉ ุจู€ force ูˆ ุงู„ู€ force ุงู„ู„ูŠ ุนู„ุงู‚ุชู‡ุง ุจู‚ูŠุงุณ
823
+
824
+ 249
825
+ 00:25:42,280 --> 00:25:43,280
826
+ ุจู€ pressure
827
+
828
+ 250
829
+ 00:25:52,570 --> 00:25:59,890
830
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ force cell ุงู„ู„ูŠ ู‡ูŠ strain gauges ุฃูŠูˆุฉ
831
+
832
+ 251
833
+ 00:25:59,890 --> 00:26:02,930
834
+ ุฃู†ุช ุจุชุญูˆู„ู‡ุง ู„ู€ deflection ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุนู†ุฏูƒ force
835
+
836
+ 252
837
+ 00:26:02,930 --> 00:26:07,770
838
+ ุงู„ูˆุฒู† ุจุชุญูˆู„ู‡ ู„ู€ force ุงู„ู€ force ุจูŠุนู…ู„ ุฅูŠู‡ุŸ ุจูŠุนู…ู„
839
+
840
+ 253
841
+ 00:26:07,770 --> 00:26:11,750
842
+ .. ุจูŠุนู…ู„ deflection strain ุงู„ู€ strain ุจูŠุนู…ู„ ุฅูŠู‡ุŸ
843
+
844
+ 254
845
+ 00:26:11,750 --> 00:26:13,750
846
+ ุงู„ู€ change ููŠ ุงู„ู€ resistance ุงู„ู€ change ููŠ ุงู„ู€
847
+
848
+ 255
849
+ 00:26:13,750 --> 00:26:18,870
850
+ resistance is measured ูˆ ุจุชุงุน ููŠ relation ููŠ ุนู„ุงู‚ุฉ
851
+
852
+ 256
853
+ 00:26:18,870 --> 00:26:24,000
854
+ ูŠูุณู…ู‰ force cell ููŠ ุญุงู„ุฉ ุงู„ู…ูˆุงุฒูŠู† ุทูŠุจ ููŠ ู…ุง ูŠูุณู…ู‰ ุงู„ู€
855
+
856
+ 257
857
+ 00:26:24,000 --> 00:26:29,100
858
+ dead weight tester ุงู„ู€ dead weight tester ูŠูุณุชุฎุฏู…
859
+
860
+ 258
861
+ 00:26:29,100 --> 00:26:34,180
862
+ ู„ูู…ุนุงูŠุฑุฉ ุฃุฌู‡ุฒุฉ ุงู„ุถุบุท dead weight tester ููƒุฑุชู‡ ูˆ
863
+
864
+ 259
865
+ 00:26:34,180 --> 00:26:38,880
866
+ ุจุณุงุทุชู‡ ุนู†ุฏูƒ
867
+
868
+ 260
869
+ 00:26:38,880 --> 00:26:42,160
870
+ ุดุงูŠููŠู† ุฅู† ุฃู†ุง ุนู†ุฏูŠ ู‡ู†ุง structure ููŠู‡ ุฒูŠุช ููŠู‡ ุนู†ุฏูŠ ู‡ู†ุง
871
+
872
+ 261
873
+ 00:26:42,160 --> 00:26:51,160
874
+ oil ููŠ ุฅูŠุดุŸ ุฒูŠุช ูˆ ููŠ ุฎุฒุงู† ุฒูŠุช ู‡ูŠ oil reservoir ููŠ
875
+
876
+ 262
877
+ 00:26:51,160 --> 00:26:56,080
878
+ ุนู†ุฏูŠ ู‡ู†ุง ู…ูƒุจุณ ูˆ ุจุญุท ุนู„ูŠู‡ ุฃูˆุฒุงู† ู…ูƒุจุณ ูˆ ุจุญุท ุนู„ูŠู‡
879
+
880
+ 263
881
+ 00:26:56,080 --> 00:27:03,480
882
+ ุฃูˆุฒุงู† ูˆ ููŠ ุนู†ุฏูŠ wheel ู‡ู†ุง ุนุดุงู† ุฃุถุจุท ููŠ ุงู„ุจุฏุงูŠุฉ
883
+
884
+ 264
885
+ 00:27:03,480 --> 00:27:05,700
886
+ ู„ู…ุง ุฃูˆู„ ู…ุง ุจุนู…ู„ set ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ุฃุถุจุท ุงุฑุชูุงุน
887
+
888
+ 265
889
+ 00:27:05,700 --> 00:27:10,600
890
+ ุงู„ุฃูˆุฒุงู† ุฃุถุจุทู‡ุง ุนุดุงู† ุฅุฐุง ููŠู‡ ุฒูŠุช ู…ุง ููŠู‡ูˆุด ู‡ูˆุงุก ู…ุง ููŠู‡ูˆุด
891
+
892
+ 266
893
+ 00:27:10,600 --> 00:27:16,780
894
+ ู‡ูˆุงุก ูŠุนู†ูŠ ููŠ ุนู†ุฏูŠ ุจุถุจุท ูˆ ุจุถุจุท ุงู„ุฃูˆุฒุงู† ูˆ ููŠ ุนู†ุฏูŠ
895
+
896
+ 267
897
+ 00:27:16,780 --> 00:27:22,440
898
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจุฏูŠ ุฃุนุงูŠุฑู‡ ุจูŠูƒูˆู† ู…ูˆุตูˆู„ ู‡ู†ุง ุงู„ุฃูˆุฒุงู† ู‡ุฏูู‡ุง ุฅูŠู‡ุŸ
899
+
900
+ 268
901
+ 00:27:22,440 --> 00:27:31,460
902
+ ุชุนู…ู„ ู„ูƒ pressure ุงู„ุขู† ุฃู†ุง ุนู†ุฏูŠ ู‡ู†ุง ู…ูƒุจุณ ุนู†ุฏูŠ
903
+
904
+ 269
905
+ 00:27:31,460 --> 00:27:46,300
906
+ ู…ูƒุจุณ ู‡ุงูŠ
907
+
908
+ 270
909
+ 00:27:46,300 --> 00:27:54,390
910
+ ู…ูƒุจุณ ุฃุฎุฏุช ุงู„ู…ูƒุจุณ ุนู…ู„ุช ู„ู‡ free body diagram ุฃุฎุฏุช
911
+
912
+ 271
913
+ 00:27:54,390 --> 00:27:58,470
914
+ ุงู„ู€ dynamics ุฃุฎุฏุช ุงู„ู€ dynamics ุงู„ูุตู„ ุฏู‡ ุตุญุŸ ุขู‡
915
+
916
+ 272
917
+ 00:27:58,470 --> 00:28:02,670
918
+ ุนู…ู„ุช ุงู„ู€ free body diagram ู„ู„ู…ูƒุจุณ ููŠู‡ force ุงู„ู„ูŠ ู‡ูˆ
919
+
920
+ 273
921
+ 00:28:02,670 --> 00:28:14,130
922
+ ุฅูŠู‡ุŸ ู†ุงุชุฌุฉ ุนู† ุงู„ูˆุฒู† ู„ูŠุด ู…ุชุณุงูˆูŠุฉุŸ ููŠู‡ ุฌุงูŠ ููŠ ุดูƒู„
923
+
924
+ 274
925
+ 00:28:14,130 --> 00:28:20,850
926
+ ุฃุณุงุณูŠ basically ุทุจุนู‹ุง ุงู„ู€ pressure force ููŠ ู…ุณุงุญุฉ ููŠ
927
+
928
+ 275
929
+ 00:28:20,850 --> 00:28:27,490
930
+ ุงู„ู€ area ูุงู„ู€
931
+
932
+ 276
933
+ 00:28:27,490 --> 00:28:35,190
934
+ weight ุงู„ู„ูŠ ู‡ูˆ ุจูŠุณุงูˆูŠ mg ุทุจุนู‹ุง ู…ููŠุด motion ุนู†ุฏูŠ ู‡ุฐู‡
935
+
936
+ 277
937
+ 00:28:35,190 --> 00:28:42,730
938
+ ุจุชุณุงูˆูŠ ู…ููŠุด ุนู†ุฏูŠ ุฅูŠู‡ ู…ุซู„ุงู‹ m ููŠ a ุจุชุณุงูˆูŠ zero
939
+
940
+ 278
941
+ 00:28:42,730 --> 00:28:49,840
942
+ ู…ููŠุด ุนู†ุฏูŠ motion ุงู„ู€ P ุงู„ูˆุฒู† mg ุจูŠุณุงูˆูŠ P ููŠ A
943
+
944
+ 279
945
+ 00:28:49,840 --> 00:28:53,000
946
+ ูŠุนู†ูŠ
947
+
948
+ 280
949
+ 00:28:53,000 --> 00:28:59,860
950
+ ุงู„ู€ pressure ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ mg ุจูŠุณุงูˆูŠ P ุงู„ู€ A ุงู„ู„ูŠ ู‡ูŠ
951
+
952
+ 281
953
+ 00:28:59,860 --> 00:29:07,420
954
+ ฯ€ ู„ูˆ ูƒุงู† ู…ุฏูˆุฑ 4 ุนู„ู‰ 4 ููŠ D ุชุฑุจูŠุน ุตุญ ุงู„ู€ D ุงู„ู„ูŠ
955
+
956
+ 282
957
+ 00:29:07,420 --> 00:29:08,400
958
+ ู‡ูˆ ู‚ุทุฑ ุงู„ู€ piston
959
+
960
+ 283
961
+ 00:29:12,080 --> 00:29:21,780
962
+ ู…ุนู†ุงุชู‡ ุงู„ู€ pressure ู‡ูŠูƒูˆู† ุจูŠุณุงูˆูŠ 4 mg ุนู„ู‰ ฯ€
963
+
964
+ 284
965
+ 00:29:21,780 --> 00:29:32,240
966
+ D ุชุฑุจูŠุน ู…ุนู†ุงุชู‡
967
+
968
+ 285
969
+ 00:29:32,240 --> 00:29:37,840
970
+ if I want to measure high pressures ุจุฏูŠ
971
+
972
+ 286
973
+ 00:29:37,840 --> 00:29:42,230
974
+ ุฃุนู…ู„ ุดุบู„ุชูŠู† ุฃูˆ ูŠุนู†ูŠ ๏ฟฝ๏ฟฝู„ู„ูŠ ุจูŠุฃุซุฑ ุนู„ู‰ ุงู„ู€ pressure ู‡ู…ุง
975
+
976
+ 287
977
+ 00:29:42,230 --> 00:29:46,430
978
+ ุงู„ู„ูŠ ู‡ู…ุง ุงู„ู€ mg ูˆุงู„ู€ 4 ุงู„ู„ูŠ ุจู‚ุช ุซูˆุงุจุช ุจุงู„ู†ุณุจุฉ ู„ูŠ ู‡ู…ุง
979
+
980
+ 288
981
+ 00:29:46,430 --> 00:29:51,950
982
+ ุงู„ู€ pressure ุงู„ู€ mass ูˆ ุงู„ู€ D ูƒู„ ู…ุง ุฃุฒูˆุฏ ุงู„ู€ mass ูƒู„
983
+
984
+ 289
985
+ 00:29:51,950 --> 00:29:58,230
986
+ ู…ุง ุจุฃุฎุฏ pressure ุฃุนู„ู‰ ูƒู„ ู…ุง ุฃู‚ู„ู„ ุงู„ู€ D ุจุฃุฎุฏ
987
+
988
+ 290
989
+ 00:29:58,230 --> 00:30:02,870
990
+ pressure ุฃุนู„ู‰ ู…ู† ุงู„ู€ effect ุนู„ู‰ ุงู„ู€ mass ูˆู„ุง ุงู„ู€
991
+
992
+ 291
993
+ 00:30:02,870 --> 00:30:08,330
994
+ diameter ุฏู‡ ุจูŠูƒูˆู† ู…ุน ุงู„ุชู†ุงุณุจ ุนูƒุณูŠ ู…ุน ู…ุฑุจุน
995
+
996
+ 292
997
+ 00:30:08,330 --> 00:30:15,610
998
+ ุงู„ู‚ุทุฑ ูˆุจุงู„ุชุงู„ูŠ ุฃู†ุง ุจู‚ู‰ ุฃุตู…ู… ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ู…ุซู„ุงู‹ ุจุฏูŠ
999
+
1000
+ 293
1001
+ 00:30:15,610 --> 00:30:20,590
1002
+ ุขุฎุฏ ู…ุซู„ุงู‹
1003
+
1004
+ 294
1005
+ 00:30:20,590 --> 00:30:24,570
1006
+ ู„ูˆ
1007
+
1008
+ 295
1009
+ 00:30:24,570 --> 00:30:27,770
1010
+ ุจุฏูŠ ุฃุตู…ู… ุฌู‡ุงุฒ ุจุฏูŠ ุฃุนุฑู ุงู„ู€
1011
+
1012
+ 296
1013
+ 00:30:27,770 --> 00:30:30,910
1014
+ capacity ุจุชุงุนุชู‡ ู„ูˆ ุญูƒูŠุช ุนู†ุฏูŠ ุงู„ู€ maximum mass
1015
+
1016
+ 297
1017
+ 00:30:30,910 --> 00:30:36,670
1018
+ ุจูŠุณุงูˆูŠ ู…ุซู„ุงู‹ ู…ุงุฆุฉ ูƒูŠู„ูˆุฌุฑุงู… ู…ุซู„ุงู‹ ุฃูˆ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุนุดุฑุฉ
1019
+
1020
+ 298
1021
+ 00:30:36,670 --> 00:30:41,850
1022
+ ูƒูŠู„ูˆุฌุฑุงู… ุฎู„ูŠู‡ ู…ุงุฆุฉ ูƒูŠู„ูˆ ู…ุงุดูŠ ู‡ูˆ ุงู„ู€ maximum pressure
1023
+
1024
+ 299
1025
+ 00:30:41,850 --> 00:30:46,190
1026
+ rating 100
1027
+
1028
+ 300
1029
+ 00:30:46,190 --> 00:30:50,510
1030
+ ู…ูŠุฌุง ุจุงุณูƒุงู„ ู…ุซู„ุงู‹ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ู…ุงุฆุฉ ู…ูŠุฌุง ุจุงุณูƒุงู„ ู…ูŠุฉ
1031
+
1032
+ 301
1033
+ 00:30:50,510 --> 00:31:01,930
1034
+ ููŠ ุนุดุฑุฉ ุฃุณ ุณุชุฉ ุจูŠุณุงูˆูŠ ุฃุฑุจุนุฉ ููŠ ู…ุงุฆุฉ ููŠ ุชุณุนุฉ point
1035
+
1036
+ 302
1037
+ 00:31:01,930 --> 00:31:09,430
1038
+ ุซู…ุงู†ูŠุฉ ุตูุฑ ุณุชุฉ ุนู„ู‰ ฯ€ D ุชุฑุจูŠุน ุจุจุฏุฃ ุฃุดูˆู ุฅูŠุด ุงู„ู€ D
1039
+
1040
+ 303
1041
+ 00:31:09,430 --> 00:31:17,850
1042
+ ุงู„ู„ูŠ ุจุชุนุทูŠู†ูŠ ุงู„ู€ maximum ู…ุนู†ุงุชู‡ D ุฅูŠุด ู‡ุชุณุงูˆูŠุŸ D ู‡ุชูƒูˆู†
1043
+
1044
+ 304
1045
+ 00:31:17,850 --> 00:31:23,930
1046
+ ุฃุฑุจุนุฉ ููŠ ู…ุงุฆุฉ ุฃุฑุจุนุฉ ููŠ ู…ุงุฆุฉ ูˆ ุณุชุฉ ุนู„ู‰
1047
+
1048
+ 305
1049
+ 00:31:23,930 --> 00:31:30,990
1050
+ ู…ุงุฆุฉ ููŠ ุนุดุฑุฉ ุฃุณ ุณุชุฉ ููŠ ุฅูŠู‡ุŸ ููŠ ฯ€ ุณูŠุจู‡ุง ุฃุญุฏ
1051
+
1052
+ 306
1053
+ 00:31:30,990 --> 00:31:37,270
1054
+ ูŠูุญุณุจู‡ุง ู„ูŠ
1055
+
1056
+ 307
1057
+ 00:31:37,270 --> 00:31:37,850
1058
+ ูŠุญุณุจู‡ุง ู„ูŠ
1059
+
1060
+ 308
1061
+ 00:32:05,660 --> 00:32:08,640
1062
+ ูŠุนู†ูŠ ุฃูƒู…ู„ ุจูŠุทู„ุนุŒ ุขุฎุฏ ุงู„ุฌุฐุฑ
1063
+
1064
+ 309
1065
+ 00:32:19,240 --> 00:32:26,580
1066
+ ุซู„ุงุซุฉ point ุฎู…ุณุฉ ุซู„ุงุซุฉ ุนุดุฑุฉ ุฃุณ ุณุงู„ุจ ุซู„ุงุซุฉ ู…ุชุฑ
1067
+
1068
+ 310
1069
+ 00:32:26,580 --> 00:32:30,140
1070
+ ูŠุนู†ูŠ ุฃู†ุง ูƒุฏู‡ ุชุทู„ุน ุซู„ุงุซุฉ point ุฎู…ุณุฉ ุซู„ุงุซุฉ ู…ู„ูŠ ู…ุชุฑ
1071
+
1072
+ 311
1073
+ 00:32:30,140 --> 00:32:35,760
1074
+ ู…ู„ูŠ ู…ุชุฑ ูˆ ุฃู†ุง ููŠู‡ุง ูƒุชูŠุฑ ููŠ ุงู„ุณู…ุงุนุงุช ู‡ู†ุง ู…ู…ูƒู† ุฃู†ุง
1075
+
1076
+ 312
1077
+ 00:32:35,760 --> 00:32:43,500
1078
+ ุฃูƒุจุฑ ุงู„ู€ D ุฃูƒุชุฑ ูˆ ุนู„ู‰ ููƒุฑุฉ ู…ุฆุฉ ู…ูŠุฌุง ูŠุนู†ูŠ ุฃู„ู
1079
+
1080
+ 313
1081
+ 00:32:43,500 --> 00:32:51,500
1082
+ ุจุงุฑ ู…ูŠุฌุงุจุงุณูƒุงู„ ุฃู„ู ุจุงุฑ ุฑู‚ู… ูƒุจูŠุฑ ูู…ุนู†ุงุชู‡ ุฃู†ุชูˆ
1083
+
1084
+ 314
1085
+ 00:32:51,500 --> 00:32:55,040
1086
+ ูŠุนู†ูŠ ู„ูŠู‡ ุฃู†ุง ุนู…ู„ุช ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ุฃู†ุช ุชุฎูŠู‘ู„ ุฅุญู†ุง
1087
+
1088
+ 315
1089
+ 00:32:55,040 --> 00:32:58,780
1090
+ ู‡ู†ุญุท ุฃูˆุฒุงู† ู‡ู†ุญุท ูƒู…ูŠุงุช ุถุฎู…ุฉ ุนุดุงู† ุฃุญุตู„ ุนู„ู‰ ุถุบูˆุท ุนุงู„ูŠุฉ
1091
+
1092
+ 316
1093
+ 00:32:58,780 --> 00:33:04,260
1094
+ ุทุจุนู‹ุง ููŠู‡ limit design ู…ู†ู‡ุง design ููŠู‡ limit ุจุฑุถู‡
1095
+
1096
+ 317
1097
+ 00:33:04,260 --> 00:33:07,880
1098
+ ู„ู„ู‚ุทุฑ ู…ุง ูŠู†ูุนุด ูŠูƒูˆู† ุฑููŠุน ูƒุชูŠุฑ ููŠู‡ ุนุงู…ู„ ุซุงู†ูŠ ุจูŠุฏุฎู„
1099
+
1100
+ 318
1101
+ 00:33:07,880 --> 00:33:14,280
1102
+ ุนู„ู‰ ุงู„ุฎุท ุฅู† ููŠู‡ ุนู†ุฏูŠ ุงู„ู€ oil ู‡ู†ุง ูˆุงู„ุชูุงุนู„ ู…ุน ุงู„ุฃุณุทุญ
1103
+
1104
+ 319
1105
+ 00:33:15,920 --> 00:33:20,460
1106
+ ูˆ ุงู„ู€ leakage ูˆ ุงู„ู€ clearance ููŠู‡ ุชูุงุตูŠู„ ููŠู‡
1107
+
1108
+ 320
1109
+ 00:33:20,460 --> 00:33:23,560
1110
+ minimum diameter ุฅุฐุง ูƒู†ุช ุชุนู…ู„ design ููŠู‡ ุชูุงุตูŠู„ ููŠู‡
1111
+
1112
+ 321
1113
+ 00:33:23,560 --> 00:33:30,940
1114
+ minimum diameter ู„ู„ู€ piston ู‡ุฐุง
1115
+
1116
+ 322
1117
+ 00:33:30,940 --> 00:33:34,860
1118
+ ุทุจุนู‹ุง ุจูŠุนุทูŠู†ุง ุฏู‚ุฉ ุนุงู„ูŠุฉ ุฌุฏู‹ุง ุฅุฐุง ุชุชุทู„ุน literature
1119
+
1120
+ 323
1121
+ 00:33:34,860 --> 00:33:41,660
1122
+ ููŠู‡ ุนุงู…ู„ ุญุณุงุจ ูŠุนู†ูŠ ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ leakage ุงู„ู€
1123
+
1124
+ 324
1125
+ 00:33:41,660 --> 00:33:47,120
1126
+ interaction ุจูŠู† ุงู„ู€ .. ุขู‡ ู†ุนู… ู†ุญุท ุฎุฒุงู† .. ู†ุญุท ุฎุฒุงู†
1127
+
1128
+ 325
1129
+ 00:33:47,120 --> 00:33:51,740
1130
+ ู„ู„ุชุนูˆูŠุถ .. ุจู‚ูˆู„ ู†ุญุท ุฎุฒุงู† ุฐุงุชูŠ ู„ู„ุชุนูˆูŠุถุŸ ู†ุญุท .. ุขู‡
1131
+
1132
+ 326
1133
+ 00:33:51,740 --> 00:33:57,980
1134
+ ุทุจุนู‹ุง ู†ุญุท ุฎุฒุงู† ู„ู„ุชุนูˆูŠุถ ู„ู€ .. ููŠู‡ ุชูุงุตูŠู„ ุจุณ basically
1135
+
1136
+ 327
1137
+ 00:33:57,980 --> 00:34:01,310
1138
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ู€ principle basically ู‡ุฐู‡ .. ู‡ุฐู‡ ุงู„ู€
1139
+
1140
+ 328
1141
+ 00:34:01,310 --> 00:34:04,810
1142
+ principle ู‡ุฐู‡ ุงุณู…ู‡ุง dead weight tester ุฒูŠ ู…ุง ุญูƒูŠู†ุง
1143
+
1144
+ 329
1145
+ 00:34:04,810 --> 00:34:08,790
1146
+ ูŠูุณุชุฎุฏู… ู„ู…ุนุงูŠุฑุฉ
1147
+
1148
+ 330
1149
+ 00:34:08,790 --> 00:34:12,450
1150
+ ุฃุฌู‡ุฒุฉ
1151
+
1152
+ 331
1153
+ 00:34:12,450 --> 00:34:17,590
1154
+ ู‚ูŠุงุณ ุงู„ุถุบุท ุฅู†ู‡ ุจู‚ูŠุงุณ ุตุญ ูˆู„ุง ุจู‚ูŠุงุณุด ุตุญ ููŠ ุฃุฌู‡ุฒุฉ ุถุบุท
1155
+
1156
+ 332
1157
+ 00:34:17,590 --> 00:34:23,330
1158
+ ู…ุฆุฉ ู…ูŠุฌุง ุฃูˆ ุจุงุฑุŸ ููŠู‡ ุขู‡ ุฅูŠุด ุจุชุดุชุบู„ู‡ุงุŸ ููŠู‡ ุจุนุถ ุงู„ู€
1159
+
1160
+ 333
1161
+ 00:34:23,330 --> 00:34:27,610
1162
+ applications ุจุชูˆุตู„ ุงู„ู€ .. ู…ุซู„ุงู‹ ุฅุญู†ุง ุญูƒูŠู†ุง ู†ุฑุฌุน
1163
+
1164
+ 334
1165
+ 00:34:27,610 --> 00:34:35,010
1166
+ ุงู„ูˆุญุฏุงุช ู‡ู†ุง ุฎุฏู†ุง ู†ุนุทูŠูƒ ุฅุดูŠ ุจุณ .. ุจุณ .. ุจุณ ู„ุญุธุฉ
1167
+
1168
+ 335
1169
+ 00:34:35,010 --> 00:34:39,810
1170
+ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ PSI
1171
+
1172
+ 336
1173
+ 00:34:39,810 --> 00:34:45,390
1174
+ one PSI ุจูŠุณุงูˆูŠ ุณุชุฉ ุขู„ุงู ูˆุซู…ุงู†ู…ุฆุฉ ูˆุฎู…ุณุฉ ูˆุชุณุนูŠู†
1175
+
1176
+ 337
1177
+ 00:34:45,390 --> 00:34:55,230
1178
+ ุจุงุณูƒุงู„ one PSI ุจูŠุณุงูˆูŠ ุณุชุฉ ุขู„ุงู ูˆุซู…ุงู†ู…ุฆุฉ ูˆุฎู…ุณุฉ
1179
+
1180
+ 338
1181
+ 00:34:55,230 --> 00:34:55,730
1182
+ ูˆุชุณุนูŠู†
1183
+
1184
+ 339
1185
+ 00:35:01,910 --> 00:35:16,930
1186
+ ุจุงุณูƒุงู„ one bar one bar one
1187
+
1188
+ 340
1189
+ 00:35:16,930 --> 00:35:27,050
1190
+ bar ุจูŠุณุงูˆูŠ ุนุดุฑุฉ ุฃุณ ุฎู…ุณุฉ ุจุงุณูƒุงู„ ุนุดุฑุฉ ุฃุณ ุฎู…ุณุฉ
1191
+
1192
+ 341
1193
+ 00:35:31,920 --> 00:35:40,240
1194
+ ูŠุนู†ูŠ one bar ุจูŠุณุงูˆูŠ
1195
+
1196
+ 342
1197
+ 00:35:40,240 --> 00:35:47,980
1198
+ ู…ุงุฆุฉ ุฃู„ู ุนู„ู‰ ุณุชุฉ ุซู„ุงุซุฉ ูˆุฎู…ุณุฉ ุชุณุนุฉ ุฃุฑุจุนุฉ
1199
+
1200
+ 343
1201
+ 00:35:47,980 --> 00:35:53,380
1202
+ ูˆู†ุต PSI
1203
+
1204
+ 344
1205
+ 00:35:53,380 --> 00:36:00,100
1206
+ ุตุญุŸ ุงุถุฑุจ ููŠ ุณุชุฉ ุซู„ุงุซุฉ .. ุขู‡ ุณุชุฉ ุซู„ุงุซุฉ ุนู„ู‰ ุฃุฑุจุนุฉ ูˆู†ุต ูƒุงู…
1207
+
1208
+ 345
1209
+ 00:36:00,100 --> 00:36:00,560
1210
+ ูƒุงู…
1211
+
1212
+ 346
1213
+ 00:36:04,320 --> 00:36:10,720
1214
+ ุนู„ู‰ 14.5 ูŠุนู†ูŠ
1215
+
1216
+ 347
1217
+ 00:36:10,720 --> 00:36:18,680
1218
+ ูŠุนู†ูŠ one psi ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ 14.5 ู…ุธุจูˆุท ุงุญุณุจู‡ุง ู„ูŠ
1219
+
1220
+ 348
1221
+ 00:36:18,680 --> 00:36:21,680
1222
+ ูˆุงุญุฏ ุนู„ู‰ 14.5 ูƒุงู† ุจูŠุณุงูˆูŠ one psi
1223
+
1224
+ 349
1225
+ 00:36:35,300 --> 00:36:40,760
1226
+ ุจุงุฑ ุฎู…ุณุฉ ุชู„ุงู‘ุซ ุฃุตู„ุงู‹ ุฃุถุฑุจู‡ุง ููŠ ุฎู…ุณุฉ
1227
+
1228
+ 350
1229
+ 00:36:40,760 --> 00:36:50,160
1230
+ ูŠุนู†ูŠ
1231
+
1232
+ 351
1233
+ 00:36:50,160 --> 00:36:53,640
1234
+ ููŠู‡ ู…ุซู„ุงู‹ ููŠ ุณูŠุงุฑุงุช ุงู„ู€ .. ุงู„ู€ .. ุงู„ู€ hydraulic hybrid
1235
+
1236
+ 352
1237
+ 00:36:53,640 --> 00:36:58,910
1238
+ vehicles ุจูŠูˆุตู„ ุงู„ุถุบุท ู„ู€ 5000 PSI ูŠุนู†ูŠ ุจุชุญูƒูŠ ุนู„ู‰ 344
1239
+
1240
+ 353
1241
+ 00:36:58,910 --> 00:37:07,270
1242
+ ุจุงุฑ ูŠุนู†ูŠ ููŠ applications ู…ู…ูƒู† ุชูˆุตู„ ุงู„ุถุบุท ููŠู‡ุง ู„ุถุบุท
1243
+
1244
+ 354
1245
+ 00:37:07,270 --> 00:37:11,530
1246
+ ุนุงู„ูŠ ุฌุฏู‹ุง ูˆ ุจูŠุณุชุฎุฏู… ู…ูˆุงุฏ ู…ุชูŠู†ุฉ ุฌูŠุฏุฉ ูˆุนุงู„ูŠุฉ ุฌูˆุฏุฉ
1247
+
1248
+ 355
1249
+ 00:37:11,530 --> 00:37:16,350
1250
+ ุฌูˆุฏุฉ ู†ุนู… ุจูŠุณุชุฎุฏู… ู…ูˆุงุฏ ู…ูุนุงู„ูŽุฌุฉ ุจุดูƒู„ ุฃูˆ ุจูุฃูƒุณุฏุฉ
1251
+
1252
+ 356
1253
+ 00:37:16,350 --> 00:37:22,050
1254
+ ุจุดูƒู„ ุฌูŠุฏ ุงู„ู…ูˆุงุฏ ุฅูŠู‡ุŸ ุขู‡ ุทุจุนู‹ุงุŒ ู‡ุฐุง ู…ูˆุถูˆุน ุซุงู†ูŠุŒ ุจุณ
1255
+
1256
+ 357
1257
+ 00:37:22,050 --> 00:37:25,530
1258
+ ุฅู† ุงู„ุณุคุงู„ ุฅุญู†ุง ู…ู…ูƒู† ู†ูˆุตู„ ู„ุถุบุท ุฃู„ู ุจุงุฑุŸ ุขู‡ ุทุจุนู‹ุงุŒ
1259
+
1260
+ 358
1261
+ 00:37:25,530 --> 00:37:30,630
1262
+ ูˆ ุฃู„ููŠู†ุŸ ุขู‡ ู…ู…ูƒู†ุŒ ุญุณุจ ุงู„ู€ application ุนู†ุฏูƒ ุงู„ู€ half
1263
+
1264
+ 359
1265
+ 00:37:30,630 --> 00:37:35,270
1266
+ marshal ุจุฒู†ูŠุณ ุจุชูˆุตู„ ู„ุถุบุท ููŠู‡ุง ุจุงู„ุดูƒู„ ุฏู‡ ุฅูŠุด ุงู„ุดุบู„ุงุช
1267
+
1268
+ 360
1269
+ 00:37:35,270 --> 00:37:37,010
1270
+ ุงู„ู„ูŠ ุจุชูˆุตู„ ู„ุฃู„ู ุจุงุฑุŸ
1271
+
1272
+ 361
1273
+ 00:37:40,670 --> 00:37:45,890
1274
+ ูŠุนู†ูŠ ุฃู†ุง ุญูƒูŠุช ู„ูƒ ู…ุซู„ุงู‹ ููŠ ุญุงู„ุฉ ุงู„ุบุงุฒุงุช ุงู„ู…ุถุบูˆุทุฉ ุนู†ุฏ
1275
+
1276
+ 362
1277
+ 00:37:45,890 --> 00:37:50,290
1278
+ ุชุฎุฒูŠู† ุงู„ุบุงุฒุงุช ุฅุฐุง ุจุฏู‡ ุญุฌู… ู‚ู„ูŠู„ ุจุฏู‡ ุถุบุท ุนุงู„ูŠ ุฌุฏู‹ุง
1279
+
1280
+ 363
1281
+ 00:37:50,290 --> 00:37:54,050
1282
+ ู…ุซุงู„ ุจุณูŠุท ุญูƒูŠุช ู„ูƒ ู„ูˆ ู‡ุฏูˆู„ hybrid vehicles ุจุชูˆุตู„
1283
+
1284
+ 364
1285
+ 00:37:54,050 --> 00:37:57,270
1286
+ ููŠู‡ุง ุซู„ุงุซู…ุฆุฉ ูˆุฎู…ุณูŠู† ุซู„ุงุซู…ุฆุฉ ูˆุณุชูŠู† ุจุงุฑ ุซู„ุงุซู…ุฆุฉ ูˆ
1287
+
1288
+ 365
1289
+ 00:37:57,270 --> 00:38:00,710
1290
+ ุฎู…ุณูŠู† ุจุงุฑ ูŠุนู†ูŠ ุฅุดูŠ .. ุฅุดูŠ ูƒุจูŠุฑ ุฌุฏู‹ุง ุฌุฏู‹ุง ู‡ุฐุง ุงู„ู„ูŠ
1291
+
1292
+ 366
1293
+ 00:38:00,710 --> 00:38:04,190
1294
+ ุฌุงูŠ ุนู„ู‰ ุจุงู„ูŠ ู‡ุฐุง ุฅุฐุง ุจุฏูƒ ุชุนุฑู ุฃูƒุชุฑ ุฎุด ุนู„ู‰ ุงู„ู€ net
1295
+
1296
+ 367
1297
+ 00:38:04,190 --> 00:38:08,950
1298
+ ุงูƒุชุจ high very high very high pressure
1299
+
1300
+ 368
1301
+ 00:38:08,950 --> 00:38:09,690
1302
+ applications
1303
+
1304
+ 369
1305
+ 00:38:19,990 --> 00:38:28,390
1306
+ ู‡ุชุดูˆู ุชุทุจูŠู‚ุงุช ูƒุชูŠุฑ ุทูŠุจ
1307
+
1308
+ 370
1309
+ 00:38:28,390 --> 00:38:37,590
1310
+ ุงู„ู€ dead weight tester ู‡ุงู‡ ุดูƒู„ู‡ ูŠุนู†ูŠ
1311
+
1312
+ 371
1313
+ 00:38:37,590 --> 00:38:42,610
1314
+ ู…ุจูŠู† ุนู†ุฏูŠ ู‡ู†ุง ุงู„ู€ pressure gauge ุจุชุนู…ู„ calibration
1315
+
1316
+ 372
1317
+ 00:38:42,610 --> 00:38:48,720
1318
+ ุนู†ุฏูŠ ู‡ู†ุง ุงู„ุฃูˆุฒุงู† ูˆู‡ูŠ ุงู„ู€ piston ู‡ุฐุง ุงู„ูˆุฒู† ูˆู‡ุฐุง ุงู„ู€
1319
+
1320
+ 373
1321
+ 00:38:48,720 --> 00:38:53,120
1322
+ piston ูˆ ุงู„ู€ body ุจุชุงุนู†ุง ููŠู‡ ุฒูŠุช ูˆู‡ุฐู‡ for
1323
+
1324
+ 374
1325
+ 00:38:53,120 --> 00:39:05,160
1326
+ adjustment ูˆุงุถุญูŠู† ููŠู‡ ุฎุฒุงู† ุงู„ุฒูŠุช ุงู„ู€
1327
+
1328
+ 375
1329
+ 00:39:05,160 --> 00:39:10,220
1330
+ .. ู†ุชุนุฑู ุนู„ู‰ ุทุฑู‚ ู‚ูŠุงุณ ุงู„ุถุบุท ู‡ู†ุจุฏุฃ ููŠ ุงู„ู€ manometer
1331
+
1332
+ 376
1333
+ 00:39:10,220 --> 00:39:16,140
1334
+ ุฃูˆ ุงู„ู€ manometer ุงู„ู€ manometer ู‡ูˆ ุฌู‡ุงุฒ ุฃูˆู„ุงู‹ ูŠูุณุชุฎุฏู…
1335
+
1336
+ 377
1337
+ 00:39:16,140 --> 00:39:25,760
1338
+ ู„ู‚ูŠุงุณ ุงู„ุถุบุท ุนู†ุฏูŠ ุจูŠูƒูˆู† U shape ู…ู†
1339
+
1340
+ 378
1341
+ 00:39:25,760 --> 00:39:34,540
1342
+ ุงู„ุฒุฌุงุฌ ุฃูˆ ุจู„ุงุณุชูŠูƒ ุดูุงู ุจูŠูƒูˆู† ููŠู‡ ุนู†ุฏูŠ liquid ุนู†ุฏูŠ
1343
+
1344
+ 379
1345
+ 00:39:34,540 --> 00:39:41,400
1346
+ liquid ู‡ูŠ ู…ุตุฏุฑ ุงู„ู€ connection ู„ู„ุถุบุท ุนู†ุฏูƒ ุทุจุนู‹ุง
1347
+
1348
+ 380
1349
+ 00:39:41,400 --> 00:39:43,880
1350
+ ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃุบู„ุจ ุฅุฐุง ุนู†ุฏูŠ liquid ู‡ูŠูƒูˆู† ุนู†ุฏูŠ
1351
+
1352
+ 381
1353
+ 00:39:43,880 --> 00:39:49,450
1354
+ ุบุงุฒ ู‡ูŠ ู…ุตุฏุฑ ุงู„ู€ pressure to be measured ูˆู‡ูŠ ุนู„ู‰
1355
+
1356
+ 382
1357
+ 00:39:49,450 --> 00:39:51,950
1358
+ ุงู„ุทุฑู ุงู„ุซุงู†ูŠ ุจูŠูƒูˆู† ููŠู‡ atmospheric pressure ู†ุชูŠุฌุฉ
1359
+
1360
+ 383
1361
+ 00:39:51,950 --> 00:39:57,110
1362
+ ุถุบุท ู‡ูŠ ู‡ุชุถุบุท ุนู„ู‰ ุงู„ู€ fluid ูˆ ู‡๏ฟฝ๏ฟฝุฎุฏ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู„ูŠ ู‡ูˆ
1363
+
1364
+ 384
1365
+ 00:39:57,110 --> 00:40:03,910
1366
+ ุจูŠู† ู‡ุฐุง ูˆู‡ุฐุง ุงู„ู„ูŠ ู‡ูŠ H ุงู„ู€ pressure ู„ูˆ ุฃุฎุฏุช ุฃู†ุง ู‡ูŠ
1367
+
1368
+ 385
1369
+ 00:40:03,910 --> 00:40:07,110
1370
+ ุนู†ุฏ
1371
+
1372
+ 386
1373
+ 00:40:07,110 --> 00:40:12,090
1374
+ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุงู„ู€ pressure ู‡ูŠ ุงู„ู€ pressure ู‡ูŠุณุงูˆูŠ ู‡ูŠ ู„ูˆ
1375
+
1376
+ 387
1377
+ 00:40:12,090 --> 00:40:13,450
1378
+ ุฃุฎุฐุช ุงู„ุนู…ูˆุฏ ู‡ุฐุง ู„ุญุงู„ู‡
1379
+
1380
+ 388
1381
+ 00:40:22,050 --> 00:40:26,970
1382
+ ู‡ูŠูƒูˆู† ู‡ู†ุง ุงู„ู€ pressure ู‡ู†ุง ุจูŠุณุงูˆูŠ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุด ุงู„ู€
1383
+
1384
+ 389
1385
+ 00:40:26,970 --> 00:40:32,850
1386
+ pressure ู‡ู†ุง ุตุญ P ู‡ูŠูƒูˆู† P ู…ุณุงุญุฉ
1387
+
1388
+ 390
1389
+ 00:40:32,850 --> 00:40:43,110
1390
+ ุงู„ู…ู‚ุทุน ู‡ูŠู‚ูˆู… ุฅูŠุดุŸ ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„ ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„
1391
+
1392
+ 391
1393
+ 00:40:43,110 --> 00:40:54,470
1394
+ ุงู„ู€ W ู‡ูŠุณุงูˆูŠ P ููŠ ุงู„ู€ area ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„ ู‡ูŠูƒูˆู† ู…ุณุงุญุฉ
1395
+
1396
+ 392
1397
+ 00:40:54,470 --> 00:40:59,190
1398
+ ุงู„ู…ู‚ุทุน ููŠ ุงู„ุงุฑุชูุงุน ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ุญุฌู… ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน
1399
+
1400
+ 393
1401
+ 00:40:59,190 --> 00:41:10,650
1402
+ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ุญุฌู… ููŠ ูƒุซุงูุฉ ุจูŠุนุทูŠู†ูŠ
1403
+
1404
+ 394
1405
+ 00:41:10,650 --> 00:41:20,530
1406
+ ุฅูŠู‡ุŸ mass ููŠ g ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ูˆุฒู† ูŠุนู†ูŠ ู‡ุฐู‡ ุฅูŠู‡ุŸ
1407
+
1408
+ 395
1409
+ 00:41:20,530 --> 00:41:21,510
1410
+ mass
1411
+
1412
+ 396
1413
+ 00:41:26,500 --> 00:41:33,840
1414
+ ูˆู‡ุฐุง ู„ุญุงู„ู‡ ู‡ุฐุง volume ููŠ g ุจูŠุทู„ุน ูˆุฒู† ุจูŠุณุงูˆูŠ P
1415
+
1416
+ 397
1417
+ 00:41:33,840 --> 00:41:44,890
1418
+ ููŠ A and cancel ุงู„ู€ A's ุงู„ุจุดุฑ ุจูŠุตูŠุฑ ฯ g h
1419
+
1420
+ 398
1421
+ 00:41:44,890 --> 00:41:48,370
1422
+ ุจูŠุณุงูˆูŠ
1423
+
1424
+ 399
1425
+ 00:41:48,370 --> 00:41:53,850
1426
+ ฮณ ููŠ h ฮณ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ specific weight ฮณ
1427
+
1428
+ 400
1429
+ 00:41:53,850 --> 00:41:56,290
1430
+ ุงู„ู€ specific weight
1431
+
1432
+ 401
1433
+ 00:42:03,940 --> 00:42:12,200
1434
+ ุงู„ู€ ฮณ ุจูŠุณุงูˆูŠ ฯ ููŠ g ุงู„ู€ ฯ ุจูŠู‚ูˆู„ ุนู† ุงู„ู€ mass
1435
+
1436
+ 402
1437
+ 00:42:12,200 --> 00:42:16,240
1438
+ per
1439
+
1440
+ 403
1441
+ 00:42:16,
1442
+
1443
+ 445
1444
+ 00:46:06,740 --> 00:46:11,600
1445
+ ุฃุฑุจุนุฉ ... ุณุชุฉ ... ุณุจุนุฉ ... ูˆุงุญุฏ ูˆุณุจุนูŠู† ... ุณุจุนูŠู† ...
1446
+
1447
+ 446
1448
+ 00:46:11,600 --> 00:46:17,420
1449
+ ูˆุงุญุฏ ูˆุณุจุนูŠู† ู…ุชุฑ ุนู…ูˆุฏ ุงู„ุฐุฆุจู‚ุŒ ูู…ุด ุนู…ู„ูŠ ููŠ ุญุงู„ุฉ ุงู„
1450
+
1451
+ 447
1452
+ 00:46:17,420 --> 00:46:23,520
1453
+ high pressures ู†ุนู…ุŒ ู„ูƒู† ... ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ low
1454
+
1455
+ 448
1456
+ 00:46:23,520 --> 00:46:29,040
1457
+ pressuresุŒ low pressuresุŒ ุนู…ู„ูŠ ุฌุฏุงู‹ุŒ ูˆุฅุฐุง ุจุฏูŠ ุฃูƒูˆู†
1458
+
1459
+ 449
1460
+ 00:46:29,040 --> 00:46:34,340
1461
+ very low pressuresุŒ ููŠ ุญุงู„ุฉ very low pressures ูŠุนู†ูŠ
1462
+
1463
+ 450
1464
+ 00:46:34,340 --> 00:46:38,680
1465
+ ู…ู…ูƒู† ุฃุญูƒูŠ low to medium pressuresุŒ ูƒูˆูŠุณ ุฃุณุชุฎุฏู… ุฐุฆุจู‚
1466
+
1467
+ 451
1468
+ 00:46:38,680 --> 00:46:41,960
1469
+ ู„ูƒู† ุฅุฐุง ุจุฏูŠ very low pressuresุŒ ุนุดุงู† to sensitive
1470
+
1471
+ 452
1472
+ 00:46:41,960 --> 00:46:49,780
1473
+ ุจุฏูŠ ุฃูƒุจุฑ ุงู„ุนู…ูˆุฏุŒ ูุฃูุถู„ ุฃุณุชุฎุฏู… ู…ุงุก ู…ู…ุง ุฃุณุชุฎุฏู… ุฐุฆุจู‚
1474
+
1475
+ 453
1476
+ 00:46:49,780 --> 00:46:53,300
1477
+ ูุจูƒูˆู† sensitiveุŒ ูŠุนู†ูŠ ุงู„ู€ ... ุฅูŠุด ูŠุนู†ูŠ sensitiveุŸ ุฅู†ู‡
1478
+
1479
+ 454
1480
+ 00:46:53,300 --> 00:47:00,200
1481
+ small input ุจูŠุนุทูŠู†ูŠ huge output that could be
1482
+
1483
+ 455
1484
+ 00:47:00,200 --> 00:47:05,100
1485
+ measured with easeุŒ ูู‡ูŠ ู…ุนู†ู‰ sensitiveุŒ sensitive ู„ู„ู€
1486
+
1487
+ 456
1488
+ 00:47:05,100 --> 00:47:10,440
1489
+ inputุŒ ุจูŠูƒูˆู† small input ุจูŠุนุทูŠู†ุงุŒ ุฅูŠุด ูŠุนู†ูŠ small
1490
+
1491
+ 457
1492
+ 00:47:10,440 --> 00:47:14,080
1493
+ change in input ุจูŠุนุทูŠู†ุง high change in output
1494
+
1495
+ 458
1496
+ 00:47:14,080 --> 00:47:19,180
1497
+ ูุฃู†ุฏูŠ
1498
+
1499
+ 459
1500
+ 00:47:19,180 --> 00:47:24,940
1501
+ ุงู„ู€ well type manometerุŒ ุฃู†ุฏูŠ ุงู„ู€ well type well type
1502
+
1503
+ 460
1504
+ 00:47:24,940 --> 00:47:30,280
1505
+ manometerุŒ ุงู„ู€ well type manometer ุจูƒูˆู† ุนู†ุฏูŠ ุฎุฒุงู†
1506
+
1507
+ 461
1508
+ 00:47:30,280 --> 00:47:37,440
1509
+ ูƒุจูŠุฑ ู„ู„ fluidุŒ ูŠุนู†ูŠ ู‚ุทุฑ ุงู„ู€ surface area ู‡ู†ุง ุฃูƒุจุฑ
1510
+
1511
+ 462
1512
+ 00:47:37,440 --> 00:47:44,520
1513
+ ุจูƒุซูŠุฑ ู…ู† ุงู„ู€ surface area ู„ู‡ุงู„ tubeุŒ ู…ุนู†ุงุชู‡ ู„ู…ุง
1514
+
1515
+ 463
1516
+ 00:47:44,520 --> 00:47:47,860
1517
+ ูŠุฑุชูุน
1518
+
1519
+ 464
1520
+ 00:47:47,860 --> 00:47:55,600
1521
+ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠู†ุง ู…ุซู„ุงู‹ ู‡ุฐู‡ ู‚ุทุฑู‡ุง ู…ุซู„ุงู‹ ุนุดุฑุฉ ุณู†ุชูŠู…ุชุฑ ูˆู‡ุฐู‡
1522
+
1523
+ 465
1524
+ 00:47:55,600 --> 00:47:56,720
1525
+ ู‚ุทุฑ ูˆุงุญุฏ ุณู†ุชูŠู…ุชุฑ
1526
+
1527
+ 466
1528
+ 00:48:06,280 --> 00:48:11,100
1529
+ ูŠุนู†ูŠ ุฅุฐุง ู‡ุฐุง ู†ุฒู„ ูˆุงุญุฏ ุณู†ุชูŠู…ุชุฑุŒ ุจูƒูˆู† ุงู„ู€ volume ุงู„ู„ูŠ ู‡ู†ุง
1530
+
1531
+ 467
1532
+ 00:48:11,100 --> 00:48:14,520
1533
+ ู†ูุณ ุงู„ู€ volume ุงู„ู„ูŠ ู‡ู†ุงูƒุŒ ุตุญุŸ ูŠุนู†ูŠ ุจูƒูˆู† ุงู† ุฏูŠ ุจุงูŠ
1534
+
1535
+ 468
1536
+ 00:48:14,520 --> 00:48:22,900
1537
+ ุนู„ู‰ ุฃุฑุจุนุฉ ููŠ ุนุดุฑุฉ ุชุฑุจูŠุน ููŠ ูˆุงุญุฏ ุณู†ุชูŠู…ุชุฑุŒ ุณูˆุงุก ุจุงูŠ ุนู„ู‰
1538
+
1539
+ 469
1540
+ 00:48:22,900 --> 00:48:33,720
1541
+ ุฃุฑุจุนุฉุŒ ุงู„ู‚ุทุฑ ู‡ู†ุงูƒ ูˆุงุญุฏ ุณู†ุชูŠู…ุชุฑ ููŠ ุฅูŠุดุŸ ููŠ H ูŠุนู†ูŠ
1542
+
1543
+ 470
1544
+ 00:48:38,610 --> 00:48:45,130
1545
+ ุงู„ู€ HุŒ ูˆุงู„ุณุงูˆูŠู‡ ู…ุซู„ุงู‹ ู…ุงุฆุฉ ุณู†ุชูŠู…ุชุฑุŒ ูŠุนู†ูŠ ู‡ู†ุง ุชุบูŠุฑ ูˆุงุญุฏ ุณู†ุชูŠู…ุชุฑ
1546
+
1547
+ 471
1548
+ 00:48:45,130 --> 00:48:52,570
1549
+ ูŠุญุฏุซ ุชุบูŠูŠุฑ ู‡ู†ุง ู…ุงุฆุฉ ุณู†ุชูŠู…ุชุฑ ุนุดุงู† ูŠุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
1550
+
1551
+ 472
1552
+ 00:48:52,570 --> 00:49:05,190
1553
+ well type manometerุŒ ุทุจุนุงู‹
1554
+
1555
+ 473
1556
+ 00:49:05,190 --> 00:49:11,010
1557
+ ุงู„ู€ pressure to be measured ู…ู† ู‡ู†ุงุŒ ู‡ู†ุง ุจูŠูƒูˆู† ุถุบุท ุฌูˆุฉ
1558
+
1559
+ 474
1560
+ 00:49:11,010 --> 00:49:21,270
1561
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ูˆ P2-P1ุŒ P2-P1 ุงู„ู„ูŠ ู‡ูŠ ุญุชูƒูˆู† ุงุฑุชูุงุน ุงู„ู€
1562
+
1563
+ 475
1564
+ 00:49:21,270 --> 00:49:22,890
1565
+ raw ููŠ G ููŠ H
1566
+
1567
+ 476
1568
+ 00:49:36,500 --> 00:49:41,040
1569
+ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุจู†ูƒู…ู„ุŒ ู‡ู†ุญูƒูŠ ุนู† ุงู„ู€ bored tube gauges
1570
+
1571
+ 477
1572
+ 00:49:41,040 --> 00:49:47,060
1573
+ ุฃู†ุง ุญุงุทุท ููŠุฏูŠูˆู‡ุงุช ุนู„ู‰ ุงู„ู€ bored tube gaugesุŒ ุชูุฑุฌูˆุง
1574
+
1575
+ 478
1576
+ 00:49:47,060 --> 00:49:51,580
1577
+ ุนู„ู‰ ุงู„ููŠุฏูŠูˆุŒ ููŠู‡ ุญุชุดูˆููˆุง ุจุนุถ ููŠุฏูŠูˆู‡ุงุช ุชุงู†ูŠุฉุŒ ุฃุนุทูŠูƒูˆุง
1578
+
1579
+ 479
1580
+ 00:49:51,580 --> 00:49:51,940
1581
+ ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/fsJPSc6Bf8A_postprocess.srt ADDED
@@ -0,0 +1,1916 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,130 --> 00:00:09,830
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆ ุฑุญู…ุฉ ุงู„ู„ู‡ ูˆ ุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ููŠ
4
+
5
+ 2
6
+ 00:00:09,830 --> 00:00:14,830
7
+ ู…ุงุฏุฉ ุงู„ู‚ูŠุงุณุงุช ู‡ู†ุฎุด ุนู„ู‰ ุดุจุทุฉ ุฌุฏูŠุฏ ุงู„ู„ูŠ ู‡ูŠ
8
+
9
+ 3
10
+ 00:00:14,830 --> 00:00:20,190
11
+ measurement of pressure ู‚ูŠุงุณ .. ู‚ูŠุงุณุงุช ุงู„ุถุบุท ุทุจุนุง
12
+
13
+ 4
14
+ 00:00:20,190 --> 00:00:27,050
15
+ ููŠ ุงู„ุจุฏุงูŠุฉ ูŠุนู†ูŠ ู‡ู†ุชุนุฑู ุนู„ู‰ ุจุนุถ ุงู„ู…ูุงู‡ูŠู… ุฃูˆู„ุง ุดูŠุก
16
+
17
+ 5
18
+ 00:00:28,180 --> 00:00:33,600
19
+ ุงูŠุด ู‡ูˆ ุงู„ pressureุŸ ุงู„ pressure ุนุจุงุฑุฉ ุนู† ู‚ูˆุฉ ู…ูˆุฒุนุฉ
20
+
21
+ 6
22
+ 00:00:33,600 --> 00:00:40,780
23
+ ุนู„ู‰ ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ูŠ ู‚ูˆุฉ ุนู…ูˆุฏูŠุฉ ู…ูˆุฒุนุฉ ุนู„ู‰ ู…ุณุงุญุฉ ุฒูŠ ู…ุง
24
+
25
+ 7
26
+ 00:00:40,780 --> 00:00:49,580
27
+ ุงู†ุชูˆุง ุดุงูŠููŠู† force ู…ูˆุฒุนุฉ ุนู„ู‰ ู…ุณุงุญุฉ ุชุนู…ู„ ู„ุถุบุท ูˆุญุฏุงุช
28
+
29
+ 8
30
+ 00:00:49,580 --> 00:00:54,120
31
+ ุงู„ pressure ุงู„ู„ูŠ ู‡ูŠ ูˆุญุฏุงุช ุงู„ู…ุชุฑูŠุฉ ุงู„ุจุณูƒุงู„ ูŠุนู†ูŠ
32
+
33
+ 9
34
+ 00:00:54,120 --> 00:00:59,640
35
+ ู†ูŠูˆุชุฑ ู…ุชุฑ ู…ุฑุจุนูˆ PSI ุงู„ู„ูŠ ู‡ูŠ pound per square inch
36
+
37
+ 10
38
+ 00:00:59,640 --> 00:01:06,360
39
+ pound ูŠุนู†ูŠ pound force per square inch ุงู„
40
+
41
+ 11
42
+ 00:01:06,360 --> 00:01:10,460
43
+ pressure ููŠ ุงู„ู„ูŠ ู‡ูˆ absolute pressure ูˆููŠ ุนู†ุฏูŠ
44
+
45
+ 12
46
+ 00:01:10,460 --> 00:01:15,920
47
+ gauge pressure absolute pressure ูŠุนู†ูŠ ุงู„ุถุบุท ุงู„
48
+
49
+ 13
50
+ 00:01:15,920 --> 00:01:21,000
51
+ reference ุนู†ุฏ ุงู„ู…ุฑุฌูŠุฉ ุงู„ุถุบุท ุจูŠูƒูˆู† zero ุงู„
52
+
53
+ 14
54
+ 00:01:21,000 --> 00:01:25,230
55
+ reference ุจุชุงุนูŠ ุงูŠุดุŸ zeroูุงู†ุง ุจู‚ูŠุณ ุงู„ุถุบุท ุจุงู„ู†ุณุจุฉ
56
+
57
+ 15
58
+ 00:01:25,230 --> 00:01:30,390
59
+ ู„ู„ reference zero ุงู„ุงู†
60
+
61
+ 16
62
+ 00:01:30,390 --> 00:01:35,910
63
+ ููŠ ุงู„ gadget pressure ุงู„ู…ุฑุฌุน ุจุชุงุนูŠ ุจูŠูƒูˆู† ุงู„ุถุบุท
64
+
65
+ 17
66
+ 00:01:35,910 --> 00:01:45,030
67
+ ุงู„ุฌูˆูŠ ู‡ุฐุง ู‡ูˆ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ุจุงู„ู†ุณุจุฉ ู„ู„ zero ู‡ุฐุง ู‚ูŠู…ุฉ
68
+
69
+ 18
70
+ 00:01:45,030 --> 00:01:51,190
71
+ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ุงู„ู„ูŠ ู‡ูˆ atmospheric pressure ุงู„ุงู† ุฅุฐุง
72
+
73
+ 19
74
+ 00:01:51,190 --> 00:01:58,230
75
+ ุงู„ุถุบุท ูƒุงู† ุฃุนู„ู‰ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆู‰ ุงู„ difference ุจูŠู† ุงู„
76
+
77
+ 20
78
+ 00:01:58,230 --> 00:02:02,810
79
+ absolute ูˆุงู„ุถุบุท ุงู„ุฌูˆู‰ ุงู„ู„ู‰ ู‡ูˆ ุณู…ู‰ ุงู„ gauge
80
+
81
+ 21
82
+ 00:02:02,810 --> 00:02:12,910
83
+ pressure gauge pressure ุจุณ
84
+
85
+ 22
86
+ 00:02:12,910 --> 00:02:17,310
87
+ ู‡ูˆ absolute pressure
88
+
89
+ 23
90
+ 00:02:20,510 --> 00:02:40,350
91
+ minus ุงู„ู„ูŠ ู‡ูˆ ุถุบุท ุงู„ุฌูˆ ุทุจุนุง
92
+
93
+ 24
94
+ 00:02:40,350 --> 00:02:43,810
95
+ ุงู„ gauge pressure ู…ู…ูƒู† ูŠูƒูˆู† ู…ูˆุฌุจ ู…ู…ูƒู† ูŠูƒูˆู† ุงูŠุด
96
+
97
+ 25
98
+ 00:02:43,810 --> 00:02:50,960
99
+ ุณุงู„ุจ ุจูŠูƒูˆู† ู…ูˆุฌุจ ุงุฐุง ูƒู†ุง ุงุนู„ู‰ ู…ู† ุถุบุท ุงู„ุฌูˆุจูƒูˆู† ุณุงู„ุจ
100
+
101
+ 26
102
+ 00:02:50,960 --> 00:02:55,680
103
+ ุงุฐุง ุงุญู†ุง ุชุญุช ุงู„ุถุบุท ุงู„ุฌูˆ ู„ูƒู† absolute pressure
104
+
105
+ 27
106
+ 00:02:55,680 --> 00:03:03,000
107
+ ุฏุงุฆู…ุง ู…ูˆุฌุจ zero
108
+
109
+ 28
110
+ 00:03:03,000 --> 00:03:06,360
111
+ pressure ูŠุนู†ูŠ ููŠู‡ ูุฑู‚ ูƒุงู… ู…ุด material ู…ุงููŠู‡
112
+
113
+ 29
114
+ 00:03:06,360 --> 00:03:11,600
115
+ material ููŠุนู†ูŠ ุจูŠูƒูˆู† ุฏู‡ zero pressure ู‡ุฐุง absolute
116
+
117
+ 30
118
+ 00:03:11,600 --> 00:03:15,400
119
+ pressure ูƒ absolute ู‚ูŠู…ุชู‡ ุงู‚ู„ ู…ู† ุงู„ atmospheric
120
+
121
+ 31
122
+ 00:03:15,400 --> 00:03:20,790
123
+ pressure ูุงู„ gauge ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐุงุงู„ู„ูŠ ู‡ูˆ ุจู†ุณู…ูŠู‡ gauge
124
+
125
+ 32
126
+ 00:03:20,790 --> 00:03:23,750
127
+ pressure ุจูŠูƒูˆู† ุฒูŠ vacuum ููŠู‡ ุชูุฑูŠุบ ุจุงู„ู†ุณุจุฉ ู„ู„ุถุบุท
128
+
129
+ 33
130
+ 00:03:23,750 --> 00:03:29,250
131
+ ุงู„ุฌูˆุฉ ุฅุฐุง ุนู†ุฏ ุงู„ุถุบุท ู‡ู†ุง ู‡ุฐุง ู‡ูˆ ุงู„ absolute ูˆู‡ุฐุง ุงู„
132
+
133
+ 34
134
+ 00:03:29,250 --> 00:03:41,030
135
+ gauge ูููŠู‡ ูุฑู‚ ุงู„ุถุบุท ุจูŠูƒูˆู† ุฃุนู„ู‰ ู…ู† ุงู„ุถุบุท ุงู„ุฌูˆุฉ ุงู„
136
+
137
+ 35
138
+ 00:03:41,030 --> 00:03:43,850
139
+ pressure may be expressed in units of hydrostatic
140
+
141
+ 36
142
+ 00:03:43,850 --> 00:03:49,960
143
+ forceperiod area at the base of a column of liquid
144
+
145
+ 37
146
+ 00:03:49,960 --> 00:03:59,620
147
+ ูŠุนู†ูŠ ู…ู…ูƒู† ุฃู‚ูŠุต ุงู„ุถุบุท ู‡ุงูŠ
148
+
149
+ 38
150
+ 00:03:59,620 --> 00:04:08,420
151
+ ุนู†ุฏูŠ ู…ุซู„ุง ู†ุญูƒูŠ ุนู†ุฏูŠ
152
+
153
+ 39
154
+ 00:04:08,420 --> 00:04:17,120
155
+ liquid ุงู†ุจูˆุจ ุญุฑููŠ ูˆ ู…ูุชูˆุญ ูˆุถุน ุทุจูŠุนูŠู‡ูŠูƒูˆู† ุงู„ู…ุณุชูˆู‰
156
+
157
+ 40
158
+ 00:04:17,120 --> 00:04:21,860
159
+ ุงู„ liquid ู‡ู†ุง ู†ูุณ ุงู„ู…ุณุชูˆู‰ ู‡ู†ุง ู„ูƒู† ู„ูˆ ุญุทูŠุช ุถุบุท ู‡ู†ุง
160
+
161
+ 41
162
+ 00:04:21,860 --> 00:04:28,740
163
+ ู…ุตุฏุฑ ุถุบุท pressure ู…ุซู„ุง ุบุงุฒ ู…ุถุบูˆุท ุงูˆ ุณุงู‚ู„ ู…ุถุบูˆุท
164
+
165
+ 42
166
+ 00:04:28,740 --> 00:04:35,800
167
+ ุญุณูŠู‡ ุงู„ูˆุถุน ุงู„ุฌุฏูŠุฏ ู…ุด
168
+
169
+ 43
170
+ 00:04:35,800 --> 00:04:42,380
171
+ ุฒูŠ ู‡ูŠูƒ ูŠุนู†ูŠ ู…ู…ูƒู† ุนู†ุฏูŠ pressure
172
+
173
+ 44
174
+ 00:04:44,970 --> 00:04:49,950
175
+ ูู‡ูŠุตูŠุฑ ููŠู‡ ูุฑู‚ ููŠ ุงู„ุงุฑุชูุงุน H
176
+
177
+ 45
178
+ 00:04:49,950 --> 00:04:53,530
179
+ ูุงู„ูุฑู‚
180
+
181
+ 46
182
+ 00:04:53,530 --> 00:04:58,470
183
+ ุจุงู„ุถุบุท ู‡ู†ุง ู‡ูˆ ุงู„ุถุบุท ุงู„ุฌูˆูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุถุบุท ุงู„ู†ุงุชุฌ ุนู†
184
+
185
+ 47
186
+ 00:04:58,470 --> 00:05:04,970
187
+ ุงุฑุชูุงุน ุนู…ูˆุฏูŠ ุงู„ liquid ู‡ุฐุง ุงู„
188
+
189
+ 48
190
+ 00:05:04,970 --> 00:05:09,110
191
+ standard atmospheric pressure ู…ูŠุฉ ูˆุงุญุฏ ุงู„ู ุชู„ุช ู…ูŠุฉ
192
+
193
+ 49
194
+ 00:05:09,110 --> 00:05:15,980
195
+ ุฎู…ุณ ุนุดุฑูŠู†ุจุงุณูƒุงู„ ุงูˆ ุงุฑุจุนุชุงุด ุจูˆู† ุณุชุฉ ุชุณุนุฉ ุณุชุฉ pound
196
+
197
+ 50
198
+ 00:05:15,980 --> 00:05:22,400
199
+ per square inch absolute ุทุจุนุง ุนุงุฏุฉ ุงู„ pressure ุงุฐุง
200
+
201
+ 51
202
+ 00:05:22,400 --> 00:05:30,100
203
+ ู‡ูˆ absolute ุจูƒุชุจ ุฌุงู†ุจู‡ ุงุฐุง absolute ุนุดุงู† ุงู„ู…ูŠุช
204
+
205
+ 52
206
+ 00:05:30,100 --> 00:05:37,960
207
+ pound per square inch absolute ุงุฐุง gauge ุจูƒุชุจ ู…ูŠุฉ
208
+
209
+ 53
210
+ 00:05:39,150 --> 00:05:49,850
211
+ pound per square inch ุฌูŠุฌ ู…ู…ูƒู†
212
+
213
+ 54
214
+ 00:05:49,850 --> 00:05:56,110
215
+ ุงุถุบุท ุงู„ุฌูˆ ุนุจู‘ุฑ ุนู†ู‡ ุจุงุฑุชูุงุน ุนู…ูˆุฏ ู…ู† ุงู„ุฐุฆุจู‚ ุงู„ู„ูŠ ู‡ูˆ
216
+
217
+ 55
218
+ 00:05:56,110 --> 00:06:00,730
219
+ ุณุจุชู…ุจุฑ ุณุชูŠู† ู…ูŠู„ูŠ ู…ุชุฑ in height ุงู„ู„ูŠ ู‡ูˆ ุงุฑุชูุงุน ุนู…ูˆุฏ
220
+
221
+ 56
222
+ 00:06:00,730 --> 00:06:03,490
223
+ ู…ู† ุงู„ุฐุฆุจู‚ ุณุชุฉ ุณุจุนูŠู† ุตู†ุทุฉ
224
+
225
+ 57
226
+ 00:06:06,340 --> 00:06:09,640
227
+ ูŠุนุงุฏู„ ุถุบุท ู…ูŠุฉ ูˆุงุญุฏ ุฃู„ู ุซู„ุงุซูŠู† ูˆ ุฎู…ุณูŠู† ูˆ ุนุดุฑูŠู†
228
+
229
+ 58
230
+ 00:06:09,640 --> 00:06:13,900
231
+ ุจุณูƒุงู„ ุงุฑุจุนุชุงุด ูˆ ู…ุงู† ุณุชุฉ ุฏุณุนุฉ ุณุชุฉ pound per square
232
+
233
+ 59
234
+ 00:06:13,900 --> 00:06:19,280
235
+ inch ุทุจุนุง
236
+
237
+ 60
238
+ 00:06:19,280 --> 00:06:24,720
239
+ ููŠ ุชุญูˆูŠู„ุงุช ุจูŠู† ุงู„ูˆุญุฏุงุช ุงู„ู…ุฎุชู„ูุฉ ู„ู„ุถุจุท ู‡ู†ุง ุงู„ุฌุฏูˆู„
240
+
241
+ 61
242
+ 00:06:24,720 --> 00:06:31,400
243
+ ุงู„ู…ุจูŠู† ูŠู‚ู„ ุชุญูˆูŠู„ุงุช ุจูŠู† ุงู„ุจุณูƒุงู„ ูˆ ุฃูŠ ูˆุญุฏุฉ ุชุงู†ูŠุฉ
244
+
245
+ 62
246
+ 00:06:31,400 --> 00:06:35,730
247
+ ูŠุนู†ูŠ ุนู†ุฏูŠ ู‡ู†ุงone micro bar ูŠุนู†ูŠ ุงู„ .. ุงู„ .. ุงู„ ..
248
+
249
+ 63
250
+ 00:06:35,730 --> 00:06:40,510
251
+ ุงู„ bar ุงู„ micro bar ูˆุงุญุฏ ู…ู† ุงู„ู ู…ู† ุงู„ bar one
252
+
253
+ 64
254
+ 00:06:40,510 --> 00:06:54,570
255
+ micro bar ุจูŠุณุงูˆูŠ point ูˆุงุญุฏ Pascal ุนู†ุฏูŠ
256
+
257
+ 65
258
+ 00:06:54,570 --> 00:07:00,470
259
+ ู…ุซู„ุง ูˆุงุญุฏ millimeter H2O ุจูŠุณุงูˆูŠ ุชุณุนุฉ point ุชู…ุงู†ูŠุฉ
260
+
261
+ 66
262
+ 00:07:00,470 --> 00:07:01,970
263
+ ุณูุฑ ุณุจุนุฉ Pascal
264
+
265
+ 67
266
+ 00:07:05,450 --> 00:07:14,630
267
+ ูˆุงุญุฏ ู…ูŠู„ูŠ ู…ุชุฑ HG ุณูˆุงุก 133.3 ุจุณูƒุงู„ ูˆุงู†ุชุฑ
268
+
269
+ 68
270
+ 00:07:14,630 --> 00:07:19,190
271
+ 133.3 ุจุณูƒุงู„
272
+
273
+ 69
274
+ 00:07:24,690 --> 00:07:29,950
275
+ ูˆุงุญุฏ ุงู†ุด ู…ูŠุฉ ู…ุชูŠู† ุตุงุฑูŠู point ูˆุงุญุฏ ุจุณูƒุงู„ ูˆูƒุฐุง ููŠู‡ุง
276
+
277
+ 70
278
+ 00:07:29,950 --> 00:07:33,790
279
+ ููŠ ูƒู„ ุงู„ .. ุงู„ู…ุฑุฌุน ุงู„ู„ูŠ ุนู†ุฏู‰ ุฅูŠู‡ุงุด ู‡ูˆ ุงู„ุจุณูƒุงู„
280
+
281
+ 71
282
+ 00:07:33,790 --> 00:07:41,930
283
+ ุงู„ุฃูƒุซุฑ ุดูŠุก ู‡ูˆ ุงู„ุจุณูƒุงู„ ูˆ ุงู„ PSI ูˆ ุงู„ bar ุงู„ bar
284
+
285
+ 72
286
+ 00:07:41,930 --> 00:07:46,750
287
+ ุชู‚ุฑูŠุจุง ุจุณุงูˆูŠุฉ ุนุดุฑ ู…ูŠุฌุง ุจุณูƒุงู„ ุฃูˆ ุจุณุงูˆูŠุฉ ุงู„ bar
288
+
289
+ 73
290
+ 00:07:46,750 --> 00:07:52,270
291
+ ุญูˆุงู„ูŠ ู…ูŠุช ุฃู„ู ุจุณูƒุงู„ ุนุดุฑ ุนุดุฑ ุฃู„ู ุจุณูƒุงู„ุจุงู„ุธุจุท ูŠุนู†ูŠ
292
+
293
+ 74
294
+ 00:07:52,270 --> 00:08:02,330
295
+ ู„ู…ุง ุฃุญูˆู„ ุฅู„ู‰ ู…ูŠุฌุง ุจุงุณูƒุงู„ ุฃุดุฑ ู…ูŠุฌุง ุจุงุณูƒุงู„ ุงู„ุงู†
296
+
297
+ 75
298
+ 00:08:02,330 --> 00:08:06,310
299
+ ููŠ ุงู„ pressure ู‡ุงู†ูˆุฑ ุนู„ูŠู‡ ู…ุตุทู„ุญูŠู† ูุนู†ุฏูŠ static
300
+
301
+ 76
302
+ 00:08:06,310 --> 00:08:15,250
303
+ pressure ููŠ dynamic pressure ูˆููŠ total pressure ุงู„
304
+
305
+ 77
306
+ 00:08:15,250 --> 00:08:17,510
307
+ static pressure ุฅุฐุง ุนู†ุฏูŠ ู…ุซู„ุง container
308
+
309
+ 78
310
+ 00:08:21,420 --> 00:08:29,880
311
+ ูˆ ููŠ liquid ูˆ ู‚ุณุท ุงู„ุถุบุท ู‡ู†ุง ุงู„ liquid is static
312
+
313
+ 79
314
+ 00:08:29,880 --> 00:08:39,900
315
+ ู„ุฃู† ุงู„ุถุบุท ู‡ู†ุง ุฃู‚ู„ ู…ู† ู‡ู†ุง ูˆ ู‡ู†ุง ุฃู‚ู„ ู…ู† ู‡ู†ุง ุงู„ุถุบุท ุงู„
316
+
317
+ 80
318
+ 00:08:39,900 --> 00:08:45,980
319
+ gauge pressure ุจุชุบูŠุฑุงุด linear ุตุญ
320
+
321
+ 81
322
+ 00:08:51,540 --> 00:08:57,740
323
+ ู„ูˆ ุนุฑูุช ู‡ุฐุง Y ู‡ูŠูƒูˆู†
324
+
325
+ 82
326
+ 00:08:57,740 --> 00:09:03,780
327
+ ุฏูŠ ุงู„ pressure ุฌูŠุฌ ู„ุฃู† ู‡ู†ุง ููŠ ุนู†ุฏูŠ ุฃุทู…ุณ ููŠ
328
+
329
+ 83
330
+ 00:09:03,780 --> 00:09:13,580
331
+ pressure ู…ุงุชุนู…ู„ ุงู†ุง zero gauge ุจุงู„ุณุงูˆูŠุฉ ุฌุงู…ุนุฉ ููŠ Y
332
+
333
+ 84
334
+ 00:09:13,580 --> 00:09:25,210
335
+ ุตุญุŸุงู„ู‚ุงู…ุฉ ุงู„ู„ูŠ ู‡ูŠ ุฑูˆ ููŠ ุฌูŠ ููŠ ูˆุงูŠ ุฑูˆ ู‡ูŠ ุฅูŠุด ูƒุซุงูุฉ
336
+
337
+ 85
338
+ 00:09:25,210 --> 00:09:30,310
339
+ ูˆุงู„ุฌูŠ
340
+
341
+ 86
342
+ 00:09:30,310 --> 00:09:36,370
343
+ ุงู„ู„ูŠ ู‡ูŠ acceleration ูˆ gravity ูˆุงู„ูˆุงูŠ
344
+
345
+ 87
346
+ 00:09:36,370 --> 00:09:42,130
347
+ ุงู„ุนู…ู‚ ุงู„ depth below
348
+
349
+ 88
350
+ 00:09:49,360 --> 00:09:52,440
351
+ surface ูู‡ูˆ ุงู„ static pressure ู‡ูˆ pressure filled
352
+
353
+ 89
354
+ 00:09:52,440 --> 00:09:55,700
355
+ ูˆ ุงู„ fluid is at rest ุงุฐุง ูƒุงู† ุงู„ fluid ุจุญุงู„ุฉ
356
+
357
+ 90
358
+ 00:09:55,700 --> 00:10:02,660
359
+ ุงู„ุณูƒูˆู† ุงูˆ ุงุฐุง ุงู†ุง ุนู†ุฏูŠ fluid ู…ุงุดูŠ fluid ู…ุงุดูŠ ูˆ
360
+
361
+ 91
362
+ 00:10:02,660 --> 00:10:06,140
363
+ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจุงุฎุฏ ุงู„ู‚ุฑุงุกุฉ ู…ุงุดูŠ ู…ุนุงู‡ ุจู†ูุณ ุงู„ุณุฑุนุฉ
364
+
365
+ 92
366
+ 00:10:09,740 --> 00:10:13,940
367
+ ูˆุจุงู„ุชุงู„ูŠ ุณุฑุนุฉ ุงู„ุฌู‡ุงุฒ ุจุงู„ู†ุณุจุฉ ู„ุตุฑุงูƒ ุงู„ fluid ุชุดูˆู
368
+
369
+ 93
370
+ 00:10:13,940 --> 00:10:18,420
371
+ ุณุงุนุฉ ุจูŠู‡ุŸ ุตูุฑ ุฒูŠ ูƒุงู†ูƒ ููŠ ุณูŠุงุฑุฉ ุงู†ุช ูˆุจุงู„ุชุงู„ูŠ ูƒุฃู†ู‡
372
+
373
+ 94
374
+ 00:10:18,420 --> 00:10:23,680
375
+ at rest ุงู„
376
+
377
+ 95
378
+ 00:10:23,680 --> 00:10:27,740
379
+ force exerted on fluid particle from all
380
+
381
+ 96
382
+ 00:10:27,740 --> 00:10:30,180
383
+ directions is the same ูŠุนู†ูŠ ุงู„ pressure ุนู†ุฏ ุงู„ู†ู‚ุทุฉ
384
+
385
+ 97
386
+ 00:10:30,180 --> 00:10:33,840
387
+ ู‡ุฐู‡ ููŠ ูƒู„ ุงุชุฌุงู‡ุงุช ููŠ pressure ููŠ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ููŠ
388
+
389
+ 98
390
+ 00:10:33,840 --> 00:10:36,740
391
+ ู‡ุฐุง ุงู„ุงุชุฌุงู‡ ููŠ ูƒู„ ุงุชุฌุงู‡ุงุช ููŠ pressure ู†ูุณ ุงู„ู‚ูŠู…ุฉ
392
+
393
+ 99
394
+ 00:10:38,110 --> 00:10:43,410
395
+ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุทุจุนุง ุงู„ pressure at this location is
396
+
397
+ 100
398
+ 00:10:43,410 --> 00:10:47,430
399
+ the same regardless of direction ู…ุบุงุฏุฑุฉ ุนู„ู‰
400
+
401
+ 101
402
+ 00:10:47,430 --> 00:10:52,850
403
+ ุงู„ุฅุชุฌุงุฑ ุนุงุฏุฉ
404
+
405
+ 102
406
+ 00:10:52,850 --> 00:10:55,210
407
+ ุงู„ pressure measured with gauges and transmitters
408
+
409
+ 103
410
+ 00:10:55,210 --> 00:11:03,590
411
+ attached to the side of a pipe ุฅุฐุง ุนู†ุฏูŠ pipe ูˆ
412
+
413
+ 104
414
+ 00:11:03,590 --> 00:11:11,710
415
+ ููŠู‡ุง floorู„ูˆ ูุชุญุช ูุชุญุฉ ู…ู† ู‡ู†ุง ุทุจุนุง ุชูˆุฒูŠุน ุณุฑุนุฉ ุงู„
416
+
417
+ 105
418
+ 00:11:11,710 --> 00:11:19,050
419
+ fluid ุงู„ pipe ุซุงุจุชุฉ ู…ุนู†ุงุชู‡ ุงู„ flow ู…ุงูŠูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ
420
+
421
+ 106
422
+ 00:11:19,050 --> 00:11:26,730
423
+ ุงู„ุณุฑุนุงุช ุจุชุงุนุชู‡ ู‡ู†ุง
424
+
425
+ 107
426
+ 00:11:26,730 --> 00:11:32,210
427
+ ุงู„ุณุฑุนุฉ ุจุชูƒูˆู† ุณุงูˆูŠุฉ zero ูˆู‡ู†ุง zero ููŠ ุงู„ู…ุตุฏุฑ
428
+
429
+ 108
430
+ 00:11:32,210 --> 00:11:37,120
431
+ maximumูุฅุฐุง ู…ุงุดูŠ fluid ูˆ ููŠู‡ pressure .. ููŠู‡
432
+
433
+ 109
434
+ 00:11:37,120 --> 00:11:41,060
435
+ static pressure ู‡ูŠุทู„ุน
436
+
437
+ 110
438
+ 00:11:41,060 --> 00:11:51,840
439
+ ุตุญุŸ ู‡ูŠุตู„ ุงู„ุงุฑุชูุงุน ู…ุนูŠู† ู‡ุฐุง ุงู„ static pressure
440
+
441
+ 111
442
+ 00:11:51,840 --> 00:11:59,020
443
+ ููŠ
444
+
445
+ 112
446
+ 00:11:59,020 --> 00:12:05,180
447
+ ุงู† ุงู„ dynamic pressureDynamic pressure ุจูŠู…ุซู„ ุงู„
448
+
449
+ 113
450
+ 00:12:05,180 --> 00:12:09,760
451
+ kinetic energy ู„ู„ flowing fluid ูŠุนู†ูŠ ุนู†ุฏูŠ ู…ุงุดูŠ
452
+
453
+ 114
454
+ 00:12:09,760 --> 00:12:18,280
455
+ fluid ุจุณุฑุนุฉ V ูŠุนู†ูŠ ู…ุซู„ุง ุงู†ุช ุญุงู„ูŠุง ุงุญู†ุง ุญุงู„ูŠุง ููŠ
456
+
457
+ 115
458
+ 00:12:18,280 --> 00:12:24,700
459
+ ุบุฑูุฉ ุงู„ู„ูŠ ู‡ูˆ ููŠู‡ุง ุณุงูƒู† ุจุชุญุณุด ููŠู‡ ุถุบุท ุฌุงูŠ ุนู„ูŠูƒ ุตุญุŸ
460
+
461
+ 116
462
+ 00:12:24,700 --> 00:12:28,980
463
+ ู„ูƒู† ุชุฎูŠู„ ููŠู‡ ุฑูŠุญ .. ุฑูŠุญ ุฌุงู… ุจุชู‡ุจ .. ุจุชู‡ุจ ูŠุนู†ูŠ ุจุชุญุณ
464
+
465
+ 117
466
+ 00:12:28,980 --> 00:12:35,480
467
+ ุจูŠุญุงูˆู„ ุชุฏูุนูƒู„ู„ุฎู„ู ู‡ุฐุง ู‡ูˆ ุงู„ dynamic pressure ู‡ูˆ ุงู„
468
+
469
+ 118
470
+ 00:12:35,480 --> 00:12:39,500
471
+ pressure due to the kinetic energy of fluid ุนุดุงู†
472
+
473
+ 119
474
+ 00:12:39,500 --> 00:12:45,100
475
+ ูŠูƒูˆู† ุณูˆุงุก ู†ุต Q ุจุณูˆุงุก ู†ุต rho V square ู„ Q ุดูˆููˆุง
476
+
477
+ 120
478
+ 00:12:45,100 --> 00:12:52,520
479
+ ุญุฏูŠุฉ Q ุจุณูˆุงุก ู†ุต rho V ุชุฑุจูŠุน
480
+
481
+ 121
482
+ 00:13:00,010 --> 00:13:08,570
483
+ ุงู„ ุฑูˆ ูˆุญุฏุชู‡ุง ุงูŠุด ูƒูŠู„ูˆ ุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ ู…ูƒุนุจ ูˆุงู„ V ู…ุชุฑ
484
+
485
+ 122
486
+ 00:13:08,570 --> 00:13:15,590
487
+ ุนู„ู‰ second ุฑุจูˆู‡ุง ุจูŠุตูŠุฑ ู…ุชุฑ ุชุฑุจูŠู‡ ุนู„ู‰ second ุชุฑุจูŠู‡
488
+
489
+ 123
490
+ 00:13:15,590 --> 00:13:21,690
491
+ ุจุงู„ุณุงูˆูŠุฉ ูƒูŠู„ูˆ ุฌุฑุงู… ูƒูŠู„ูˆ
492
+
493
+ 124
494
+ 00:13:21,690 --> 00:13:26,530
495
+ ุฌุฑุงู… ุจุฏูŠ ุงุดูŠู„ ุงุฎู„ูŠ ูˆุงุญุฏุฉ ู…ู† ู‡ู†ุง ูˆ ุงุดูŠู„ ู‡ู†ุง ุนู„ู‰ ู…ุชุฑ
496
+
497
+ 125
498
+ 00:13:26,530 --> 00:13:33,210
499
+ ู…ุฑุจุนุฃูˆ ู‡ุฎู„ูŠู‡ุง ุจุงู„ุดูƒู„ ุงู„ุชุงู„ูŠ ุฃุฎู„ูŠ ูƒูŠู„ูˆุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ
500
+
501
+ 126
502
+ 00:13:33,210 --> 00:13:43,790
503
+ ู…ูƒุนุจ ููŠ ู…ุชุฑ ุนู„ู‰ second ุจูŠุตูŠุฑ
504
+
505
+ 127
506
+ 00:13:43,790 --> 00:13:49,430
507
+ ุฒูŠ ู‡ูŠูƒ ูƒูŠู„ูˆุฌุฑุงู… ุนู„ู‰ ู…ุชุฑ ู…ูƒุนุจ ุงู„ู…ุชุฑ ุจูŠุตูŠุฑ ู…ุชุฑ ููŠ
508
+
509
+ 128
510
+ 00:13:49,430 --> 00:13:55,510
511
+ ู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน ูŠุนู†ูŠ ู‡ุณุฉ kilogram ุนู„ู‰ ู…ุชุฑ
512
+
513
+ 129
514
+ 00:13:55,510 --> 00:13:56,330
515
+ kilogram
516
+
517
+ 130
518
+ 00:13:58,800 --> 00:14:09,400
519
+ ู‡ุชุณุงูˆูŠ kilogram ู…ุชุฑ ุนู„ู‰ second ุชุฑุจูŠุน ููŠ ูˆุงุญุฏ ุนู„ู‰
520
+
521
+ 131
522
+ 00:14:09,400 --> 00:14:16,720
523
+ ู…ุชุฑ ู…ุฑุจุนุŒ ุตุญุŸ kilogram ู‡ุฐูŠ ูˆุญุฏุฉ ุฅูŠู‡ุŸ ู‡ุฐูŠ mass ููŠ
524
+
525
+ 132
526
+ 00:14:16,720 --> 00:14:23,000
527
+ accelerationุŒ ูŠุนู†ูŠ ู‡ุชูƒูˆู† ุณุงูˆูŠุฉ ู†ูŠูˆุชู† ุงู„ู„ูŠ ู‡ูŠ ุนูŠุงุด
528
+
529
+ 133
530
+ 00:14:23,000 --> 00:14:27,620
531
+ ุจุณ ูƒุฏู‡ุŒ ู‡ูŠ ูˆุญุฏุฉ ุถุบุท
532
+
533
+ 134
534
+ 00:14:32,770 --> 00:14:37,430
535
+ ู…ุนู†ุงุชู‡ ุงู„ Q ุงูˆ ุงู„ dynamic pressure ู‡ูˆ pressure
536
+
537
+ 135
538
+ 00:14:37,430 --> 00:14:44,530
539
+ felt due to motion of the fluid ู‡ูˆ ุงู„ุถุบุท ุจุญุณู‡
540
+
541
+ 136
542
+ 00:14:44,530 --> 00:14:50,190
543
+ ู†ุชูŠุฌุฉ ุญุฑูƒุฉ ุงู„ fluid ุงู„ุงู†
544
+
545
+ 137
546
+ 00:14:50,190 --> 00:14:51,090
547
+ ุงู„ total pressure
548
+
549
+ 138
550
+ 00:14:57,800 --> 00:15:07,220
551
+ ุจุณุชูˆู‰ ุงู„ู„ูŠ ู‡ูˆ P static ุฒุงุฏ P dynamic ู…ู†ุงู‚ุฉ ุงู„ุจุดุฑ
552
+
553
+ 139
554
+ 00:15:07,220 --> 00:15:22,020
555
+ ู…ู…ูƒู† ุงู‚ุณู…ู‡ุง ู„ุฌุฒูŠู† ุฌุฒุก static ูˆุฌุฒุก dynamic ุงู„
556
+
557
+ 140
558
+ 00:15:22,020 --> 00:15:27,380
559
+ total ุจุดุฑ ู‡ูˆ ุงู„ force ู„ูƒู„ ูˆุญุฏุฉ ู…ุณุงุญุฉ ุงู„ู„ูŠ ุจู†ุญุณ ููŠู‡
560
+
561
+ 141
562
+ 00:15:28,580 --> 00:15:34,260
563
+ ู†ุชูŠุฌุฉ ุถูู‚ ุงู„ fluid when ู„ุง ุญุฏ ุจูŠุตู„ ู„ุญุงู„ุฉ ุงู„ุชูˆู‚ู
564
+
565
+ 142
566
+ 00:15:34,260 --> 00:15:39,300
567
+ ูŠุนู†ูŠ ุงู†ุง ู…ุงุดูŠ ุจูˆุงุฌู‡ ุงู„ุฑูŠุงุญ ุงุฐุง ุงู†ุง ุซุงุจุช ูˆ ู‡ุจุท ุฑูŠุญ
568
+
569
+ 143
570
+ 00:15:39,300 --> 00:15:44,420
571
+ ุฌุงู…ุฏุฉ ู‡ุญุณ ููŠ ุถุบุท ุงู„ุถุบุท ุงู„ู„ูŠ ุจูŠุญุณู‡ ููŠู‡ ู„ูŠุณ ูู‚ุท ุงู„ู„ูŠ
572
+
573
+ 144
574
+ 00:15:44,420 --> 00:15:50,600
575
+ ู‡ูˆ ุงู„ dynamic ุงู„ุชู†ูŠู† ู„ุฃู† ุงู†ุง ู„ูˆ ูุด ุญุฑูƒุฉ ู„ู„ู‡ูˆุงุก
576
+
577
+ 145
578
+ 00:15:50,600 --> 00:15:55,180
579
+ ุงู„ู‡ูˆุงุก ู…ุญูˆุท ู…ู† ูƒู„ ุฌู‡ุงุช ู…ุนู†ุงุชู‡ ููŠู‡ ุถุบุท ู„ูƒู† ุงู„ู‡ูˆุงุก
580
+
581
+ 146
582
+ 00:15:55,180 --> 00:16:00,830
583
+ ู…ุญูˆุท ู…ู† ูƒู„ ุฌู‡ุงุชูˆููŠู‡ ู„ู‡ ุณุฑุนุฉ ูุจุญุณ ุจ total pressure
584
+
585
+ 147
586
+ 00:16:00,830 --> 00:16:04,890
587
+ total pressure due to stagnation stagnation ุงู†ู‡
588
+
589
+ 148
590
+ 00:16:04,890 --> 00:16:09,590
591
+ ุงู†ุง ุฌุณู… ุงุนู…ู„ุชู„ู‡ ุงู‚ุงู ู†ุชูŠุฌุฉ ุงู„ุงู‚ุงู ุงู„ kinetic
592
+
593
+ 149
594
+ 00:16:09,590 --> 00:16:16,390
595
+ energy ุงุชุญูˆู„ุช ู„ูŠุด ู„ pressure force ุทุจุนุง
596
+
597
+ 150
598
+ 00:16:16,390 --> 00:16:20,050
599
+ ุงู„ total pressure ุงูˆ ุงู„ static pressure are
600
+
601
+ 151
602
+ 00:16:20,050 --> 00:16:25,960
603
+ usually measured using a pitot tubeุฒูŠ ู…ุง ุญูƒูŠู†ุง ุงู„
604
+
605
+ 152
606
+ 00:16:25,960 --> 00:16:29,000
607
+ total pressure ู‡ูˆ ู…ุฌู…ูˆุน ุงู„ static pressure ูˆ ุงู„
608
+
609
+ 153
610
+ 00:16:29,000 --> 00:16:36,800
611
+ dynamic pressure ู„ุฃู† ุงูŠุด ู‡ูŠ ุงู„ pitot tubeุŸ pitot
612
+
613
+ 154
614
+ 00:16:36,800 --> 00:16:43,920
615
+ tube ุนุจุงุฑุฉ ุนู† a tube ุฒูŠ ุงู„ double jacket ููŠู‡ ูุชุญ
616
+
617
+ 155
618
+ 00:16:43,920 --> 00:16:48,400
619
+ ุฒูŠ ู…ุง ุงู†ุช ุดุงูŠููŠู†ู‡ุง ูˆ ููŠ ุงู†ุฏู‡ุงู† ุจุฑุถู‡ ููŠู‡ ุชุฌูˆูŠู
620
+
621
+ 156
622
+ 00:16:48,400 --> 00:16:53,200
623
+ ูุฑุงุบุฉ ูŠุนู†ูŠ ุงู†ุจูˆุจ ุฌูˆุงู†ุจูˆุจ ูŠุนู†ูŠ ู‡ูŠ ุงู†ุจูˆุจูˆ ู‡ูŠ ุงู†ุจูˆุจ
624
+
625
+ 157
626
+ 00:16:53,200 --> 00:16:57,260
627
+ ุงู„ูุชุญุฉ ุงู„ุงู†ุจูˆุจ ุงู„ู„ูŠ ู‡ู†ุง ุงู„ุฃุตูุฑ ูุชุญ ููŠ ูุชุญุฉ ู…ู† ู‡ู†ุง
628
+
629
+ 158
630
+ 00:16:57,260 --> 00:17:03,840
631
+ ูŠุนู†ูŠ ุฌุงูŠุฉ ุนู„ู‰ ุงู„ู…ุญูŠุท ุฌุงูŠุฉ ุนู„ู‰ ุงู„ู…ุญูŠุท ูŠุนู†ูŠ ู…ูุชูˆุญุฉ
632
+
633
+ 159
634
+ 00:17:03,840 --> 00:17:10,600
635
+ ู…ู† ุงู„ุฌู†ุงุจ ุงู„ุขู† ุฅุฐุง ููŠ ุนู†ุฏูŠ flow ู…ุงุดูŠ flow ู…ุงุดูŠ
636
+
637
+ 160
638
+ 00:17:10,600 --> 00:17:15,320
639
+ ุงู„ุขู† ู‡ูŠุฎุด ุงู„ total flow ู‡ูŠุฎุด ู…ู† ู‡ู†ุง ุงู„ total flow
640
+
641
+ 161
642
+ 00:17:15,320 --> 00:17:21,500
643
+ ู‡ูŠุฎุด ู…ู† ู‡ู†ุง ุตุญุŸ ููŠ ุนู†ุฏูŠ ุงู„ fluid ู‡ู†ุง ุงู„ู…ู„ุงู…ุณ ู‡ูŠูƒูˆู†
644
+
645
+ 162
646
+ 00:17:21,500 --> 00:17:21,900
647
+ static
648
+
649
+ 163
650
+ 00:17:25,870 --> 00:17:30,130
651
+ ูุงู„ู‡ูˆุงุก ุงู„ู„ูŠ ุฃูˆ ุงู„ fluid ุงู„ู„ูŠ ุฏุงุฎู„ ู…ู† ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ
652
+
653
+ 164
654
+ 00:17:30,130 --> 00:17:36,030
655
+ ุฌุงูŠ ู…ู† ู‡ู†ุง ู„ุฃู† ุงู„ู…ู†ุทู‚ุฉ ู‡ุฐู‡ ุงู„ุฃุตูุฑ it feels static
656
+
657
+ 165
658
+ 00:17:36,030 --> 00:17:45,170
659
+ pressure ุงู„ุฃุจูŠุถ it feels ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุด ุงู„ู„ูŠ ู‡ูˆ ุงู„
660
+
661
+ 166
662
+ 00:17:45,170 --> 00:17:50,250
663
+ total pressure ุงู„ total pressure ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ุนู…ู„ุช
664
+
665
+ 167
666
+ 00:17:50,250 --> 00:17:53,870
667
+ ูุชุญุฉ ู‡ู†ุง ูˆ ุนู…ู„ุช ุญุทูŠุช manometer
668
+
669
+ 168
670
+ 00:18:04,420 --> 00:18:13,040
671
+ ู‡ุชุตูŠุฑ ุงุดูŠ ุฒูŠ ู‡ูŠูƒ ุงู†ุฏูŠ ู‡ุฐุง
672
+
673
+ 169
674
+ 00:18:13,040 --> 00:18:19,560
675
+ ุงูŠู‡ ุงูŠุด ุงู„ total pressure ุงุฐุง
676
+
677
+ 170
678
+ 00:18:19,560 --> 00:18:22,840
679
+ ุญุทูŠุช manometer ู‡ู†ุง ุฎู„ู†ุง ู†ุญูƒูŠ ู†ูุณ ุงู„ุญุฌู…
680
+
681
+ 171
682
+ 00:18:38,470 --> 00:18:44,990
683
+ ู‡ุฐุง ู‡ูƒูˆู† P static ู…ุงู†ุนุชุด
684
+
685
+ 172
686
+ 00:18:44,990 --> 00:18:52,310
687
+ ู‡ุฐุง ู‡ูƒูˆู† ู‡ุฐุง P dynamic ุตุญ ุงู„ static pressure ู‡ูƒูˆู†
688
+
689
+ 173
690
+ 00:18:52,310 --> 00:19:00,530
691
+ ุฃู‚ู„ ู…ู† ุงู„ total pressure ูู†ูุณ ุงู„ู†ุจูˆุจ ู‡ุฐุง puted
692
+
693
+ 174
694
+ 00:19:00,530 --> 00:19:08,970
695
+ tube built in ููŠู‡ุง ุจุนู‚ูŠุซ both ุงู„ static pressureูˆ
696
+
697
+ 175
698
+ 00:19:08,970 --> 00:19:13,590
699
+ ุงู„ dynamic pressure dynamic pressure ุชุชูู„ูˆ it
700
+
701
+ 176
702
+ 00:19:13,590 --> 00:19:18,890
703
+ comes to stagnation ูู„ูˆุช ูƒู„ู‡ ู„ุงู† ู‡ูˆ ุจูŠูƒูˆู† ู…ุชุญุฑูƒ
704
+
705
+ 177
706
+ 00:19:18,890 --> 00:19:24,930
707
+ ุฅูŠู‡ุงุด ุงู„ูˆ kinetic energy ูƒุฃู†ู‡ ุดุฎุต ุจูŠุตุฏ ุงู„ุฑูŠุญ ูƒุฃู†ู‡
708
+
709
+ 178
710
+ 00:19:24,930 --> 00:19:29,730
711
+ ุดุฎุต ุจูŠุตุฏ ุงู„ุฑูŠุญ ูุงู†ุง I measure it total ู„ูƒู† ู‡ู†ุง
712
+
713
+ 179
714
+ 00:19:29,730 --> 00:19:37,750
715
+ ู„ุฏุงุฎู„ ู…ู† ุงู„ุฌู†ุจit is ุงู„ flow is flowing ู„ุฃู† ุงู„ู†ุจูˆุจ
716
+
717
+ 180
718
+ 00:19:37,750 --> 00:19:43,910
719
+ ุงู„ู…ู„ุงู…ุณุฉ ุณุฑุนุฉ ุงู„ flow ู‡ู†ุง ู…ุด ุณูˆูŠุงุด zero ูุงู†ุง ู‡ู†ุง
720
+
721
+ 181
722
+ 00:19:43,910 --> 00:19:46,950
723
+ ูู‚ุท ุจู‚ูŠุณ ุงู„ static pressure
724
+
725
+ 182
726
+ 00:20:03,960 --> 00:20:07,340
727
+ ู„ุฃ ุงู†ุง ุนุดุงู† ุงู‚ูŠุณู‡ ุจูˆุตู‘ูŠ ุตูˆุฑุชู‡ ู„ุตูุฑ ูŠุนู†ูŠ ุฒูŠ ู…ุง
728
+
729
+ 183
730
+ 00:20:07,340 --> 00:20:14,800
731
+ ุญูƒูŠุชู„ูƒ ุงู†ุช ุงู„ุฌูˆ ุงุทู„ุนุช ุจุฑุง ูˆููŠู‡ ุฑูŠุญ ูˆููŠู‡ ุงูŠุงุดุŸ ุฑูŠุญ
732
+
733
+ 184
734
+ 00:20:14,800 --> 00:20:22,820
735
+ ุงุชุฎูŠู„ ุงู† ุงู†ุช ู…ุงุดูŠ ุจุตูˆุฑุฉ ุงู„ู‡ูˆุงุก ุจู†ูุณ ุงุชุฌุงู‡ู‡ ู‡ู„
736
+
737
+ 185
738
+ 00:20:22,820 --> 00:20:31,180
739
+ ู‡ุชุญุณู† ุถุบุทุŸ ุงู…ุดูŠ ุนูƒุณ ุงู„ุฑูŠุญุฃุณูˆุฃ ุงุด ุงู…ุดูŠ ุนูƒุณ ุงู„ุฑูŠุงุญ
740
+
741
+ 186
742
+ 00:20:31,180 --> 00:20:34,560
743
+ ู‡ุชุญุณ ุจุถุบุท ุดุฏูŠุฏ ู„ุฅู† ูˆุตู„ ุงู„ุฑูŠุงุญ ุงุฐุง ู…ุงุดูŠุช ููŠ ุตูˆุฑุฉ
744
+
745
+ 187
746
+ 00:20:34,560 --> 00:20:38,000
747
+ ุนุดุฑุฉ ู…ุชุฑ ุจุงู„ุซุงู†ูŠุฉ ูˆ ุงู„ู‡ูˆุงุก ุตุฑุงุนุชู‡ ุนุดุฑุฉ ู…ุชุฑ
748
+
749
+ 188
750
+ 00:20:38,000 --> 00:20:43,280
751
+ ุจุงู„ุซุงู†ูŠุฉ ู‡ูƒูˆู†ูƒ dynamic pressure ุจู…ูŠู‡ ุนุงุฏู„ ุงูˆ ุถุบุท
752
+
753
+ 189
754
+ 00:20:43,280 --> 00:20:45,700
755
+ ุงู„ dynamic pressure ู†ุงุชุฌ ุนู† ุนุดุฑูŠู† ู…ุชุฑ ุนู„ู‰ ุงู„ุซุงู†ูŠุฉ
756
+
757
+ 190
758
+ 00:20:45,700 --> 00:20:50,740
759
+ ู„ูƒู† ู„ูˆ ุฃู†ุช ู…ุงู…ุดูŠุชุด ูˆุถู„ุชูƒ ุซุงุจุช ู‡ูŠูƒูˆู† ููŠ ุถุบุท ุนู„ูŠูƒ
760
+
761
+ 191
762
+ 00:20:50,740 --> 00:20:56,360
763
+ ู†ุชูŠุฌุฉ ุงู„ุฑูŠุงุญ ู‡ุฐุง ู‡ูˆ dynamic ุฃูˆ ุงู„ total pressure
764
+
765
+ 192
766
+ 00:20:58,270 --> 00:21:02,810
767
+ ู„ุฃู† ุนู†ุฏูƒ ู‡ุงูŠ tube ุนู†ุฏ ู‡ู†ุง ุนุงู…ู„ ู‡ุงูŠ two manometers
768
+
769
+ 193
770
+ 00:21:02,810 --> 00:21:07,210
771
+ ู„ุฃู† ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ distribution
772
+
773
+ 194
774
+ 00:21:07,210 --> 00:21:10,470
775
+ ู„ู„ุณุฑุนุฉ
776
+
777
+ 195
778
+ 00:21:10,470 --> 00:21:15,170
779
+ anyway
780
+
781
+ 196
782
+ 00:21:15,170 --> 00:21:20,950
783
+ ุงู„ุณุฑุนุฉ ู‡ู†ุง zero ุณุฑุนุฉ ุงู„ูู„ูˆุฏ ู‡ู†ุง zero but you feel
784
+
785
+ 197
786
+ 00:21:20,950 --> 00:21:25,810
787
+ ู‡ู†ุง ุงู„ static pressure ู‡ุฐุง ุจูŠู‡ static ู„ูƒู† ุงู†ุช ุฌุงูŠ
788
+
789
+ 198
790
+ 00:21:25,810 --> 00:21:32,120
791
+ ููŠ ู†ุต ู‡ู†ุง ุงู„ุณุฑุนุฉ ุนุงูŠุดmaximum ูˆุงู†ุช you stagnate ุงู†ุช
792
+
793
+ 199
794
+ 00:21:32,120 --> 00:21:35,600
795
+ ุจุชุนู…ู„ ุฅูŠู‚ุงู ู„ู„ flow ูŠุนู†ูŠ ู‡ูˆ ู‡ูŠุฎุด .. ู‡ูŠุฎุด ู‡ู†ุง ุญุงุณูˆุจ
796
+
797
+ 200
798
+ 00:21:35,600 --> 00:21:38,980
799
+ ุงู„ุฅูŠู‚ุงู ู‡ูŠุถุบุท .. ู‡ูŠุถุบุท .. ู‡ูŠุถุบุท ู‡ูŠุทู„ุน ุงุฑุชูุงุน ุฃุนู„ู‰
800
+
801
+ 201
802
+ 00:21:38,980 --> 00:21:42,340
803
+ ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุด ุงู„ total pressure total pressure ุฌุฒุก
804
+
805
+ 202
806
+ 00:21:42,340 --> 00:21:48,860
807
+ ู…ู†ู‡ static ู‡ูˆ p static ูˆุงู„ู…ุชุจู‚ูŠุงุด dynamic
808
+
809
+ 203
810
+ 00:21:52,570 --> 00:22:00,130
811
+ ุงู„ุงู† ู…ุฌุณุงุช ู‚ูŠุงุณ
812
+
813
+ 204
814
+ 00:22:00,130 --> 00:22:08,410
815
+ ุงู„ุถุบุท ุนุงุฏุฉ ุนู…ู„ูŠุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุจุชูƒูˆู† ู…ู† ุฎู„ุงู„ ุชุญูˆูŠู„
816
+
817
+ 205
818
+ 00:22:08,410 --> 00:22:18,030
819
+ ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท ู„ู‚ูˆุฉ ุจุบูŠุฑ ุจุญูˆู„ ุงู„ูุฑู‚ ููŠ ุงู„ุถุบุท ู„
820
+
821
+ 206
822
+ 00:22:18,030 --> 00:22:23,500
823
+ forceูˆุจุนุฏูŠู† ุงู†ุง ุจู‚ูŠุณ ุงู„ force ู‡ุฐุง ุงู„ principle
824
+
825
+ 207
826
+ 00:22:23,500 --> 00:22:31,600
827
+ ุจุชุงุนุฉ ุงุฌู‡ุฒุฉ ู‚ูŠุงุณ ุงู„ุถุบุท ุงู†ู‡ ุจูŠุตูŠุฑ ุนู…ู„ูŠุฉ ุชุญูˆูŠู„ ู„ู„
828
+
829
+ 208
830
+ 00:22:31,600 --> 00:22:38,380
831
+ pressure difference into a force ูˆุจุนุฏูŠู† ูŠุชู… ู‚ูŠุงุณ
832
+
833
+ 209
834
+ 00:22:38,380 --> 00:22:42,140
835
+ ุงู„ force ุจุทุฑูŠู‚ุฉ ุงูˆ ุจุงุฎุฑู‡ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุทุฑู‚ ู‡ู†ุญูƒูŠ ู…ุนุงู‡ุง
836
+
837
+ 210
838
+ 00:22:42,140 --> 00:22:45,980
839
+ ู„ุงุญู‚ุง ุจุณ in principle we convert pressure
840
+
841
+ 211
842
+ 00:22:45,980 --> 00:22:48,620
843
+ difference into force then we measure force
844
+
845
+ 212
846
+ 00:22:52,580 --> 00:22:55,120
847
+ ุงู„ force measurement it could be direct
848
+
849
+ 213
850
+ 00:22:55,120 --> 00:22:58,820
851
+ measurement ุงูˆ indirect measurement ููŠ ุญุงู„ุฉ direct
852
+
853
+ 214
854
+ 00:22:58,820 --> 00:23:04,220
855
+ force measurement we compare the force to the
856
+
857
+ 215
858
+ 00:23:04,220 --> 00:23:07,220
859
+ weight of an object or to a column of liquid
860
+
861
+ 216
862
+ 00:23:07,220 --> 00:23:15,220
863
+ ุงู„ููˆุฑุณ ู‡ุฐู‡ ุจู‚ู‰ ู‚ุงุฑู†ู‡ุง ุจุฃูˆุฒุงู† ุงูˆ ุจ .. ุจ .. ุจ .. ุจ
864
+
865
+ 217
866
+ 00:23:15,220 --> 00:23:21,890
867
+ ..ุจุนู…ูˆุฏ ู…ู† ุณุงุฆู„ ู…ู…ูƒู† ุนู…ูˆุฏ ุฐุฆุจู‚ ุงูˆ ุนู…ูˆุฏ ู…ูŠู‡ ุงูˆ ุงูŠ
868
+
869
+ 218
870
+ 00:23:21,890 --> 00:23:28,050
871
+ ุณุงุฆู„ ุชุงู†ูŠ ุงู„ indirect force measurement ุงู„ force
872
+
873
+ 219
874
+ 00:23:28,050 --> 00:23:31,010
875
+ used to produce a deflection ู…ู…ูƒู† ุงู„ force ู‡ุชุนู…ู„
876
+
877
+ 220
878
+ 00:23:31,010 --> 00:23:35,990
879
+ deflection ุนู„ู‰ ุงู„ elastic membrane ุงู„ force ู‡ุชุนู…ู„
880
+
881
+ 221
882
+ 00:23:35,990 --> 00:23:43,210
883
+ some deflection ุงู„ deflection ู…ู…ูƒู† ูŠูƒูˆู† ุงู†ุจูˆุจ
884
+
885
+ 222
886
+ 00:23:43,210 --> 00:23:49,270
887
+ curved tubeู…ู…ูƒู† ูŠูƒูˆู† ุฅูŠุดุŸ membraneุŒ ุบุดุงุกุŒ ู‡ุตูŠุฑ ููŠู‡
888
+
889
+ 223
890
+ 00:23:49,270 --> 00:23:54,710
891
+ deflectionุŒ ู…ุงู†ุนุฉ ุงู„ force I convert into a
892
+
893
+ 224
894
+ 00:23:54,710 --> 00:24:02,170
895
+ deflection I measure or amplifyุŒ ุจุนู…ู„ ู‚ูŠุงุณ ุฃูˆ ุจูƒุจุฑ
896
+
897
+ 225
898
+ 00:24:02,170 --> 00:24:09,650
899
+ ุงู„ deflection ุนุดุงู† ูŠูƒูˆู† ู‚ุงุจู„ ู„ู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุฃู†ุง
900
+
901
+ 226
902
+ 00:24:09,650 --> 00:24:13,330
903
+ ุญุงูƒูŠู‡ ุงู† ุงุญู†ุง ุงู„ force is measured directly or
904
+
905
+ 227
906
+ 00:24:15,050 --> 00:24:18,550
907
+ indirectly ููŠ ุญุงู„ุฉ ุงู„ indirect force measured
908
+
909
+ 228
910
+ 00:24:18,550 --> 00:24:23,170
911
+ ุงู„ุญุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ุงุญู†ุง ุญูƒูŠู†ุง ุงู„ force is used to
912
+
913
+ 229
914
+ 00:24:23,170 --> 00:24:26,470
915
+ produce a deflection on an elastic member ุงู„
916
+
917
+ 230
918
+ 00:24:26,470 --> 00:24:29,610
919
+ elastic member ูŠูƒูˆู† curved ุงู„ tube ุงูˆ ุงู„ diaphragm
920
+
921
+ 231
922
+ 00:24:29,610 --> 00:24:33,330
923
+ ุบุดุงุก ุงู„
924
+
925
+ 232
926
+ 00:24:33,330 --> 00:24:37,050
927
+ deflection may be measured either mechanically or
928
+
929
+ 233
930
+ 00:24:37,050 --> 00:24:39,930
931
+ by a secondary electrical transducer ู…ู…ูƒู† ุงู„
932
+
933
+ 234
934
+ 00:24:39,930 --> 00:24:44,080
935
+ deflection ูŠู‚ุงุณ ุจุทุฑูŠู‚ุฉ ู…ูŠูƒุงู†ูŠูƒูŠุฉุฃูˆ ุจุงุณุชุฎุฏุงู… ู…ุฌุงุฒ
936
+
937
+ 235
938
+ 00:24:44,080 --> 00:24:50,400
939
+ ูƒู‡ุฑุจุงูŠุฉ ูŠุนู†ูŠ ุงู„ deflection ู…ู…ูƒู† ูŠุนู…ู„ู‡ ุชุบูŠูŠุฑ ููŠ ุงู„
940
+
941
+ 236
942
+ 00:24:50,400 --> 00:24:55,300
943
+ resistance ู…ู…ูƒู† ุงุณุชุฎุฏู… string gauge to measure ุงู„
944
+
945
+ 237
946
+ 00:24:55,300 --> 00:24:59,280
947
+ deflection ู…ู…ูƒู† ุงุณุชุฎุฏู… inductive ุงูˆ capacitive
948
+
949
+ 238
950
+ 00:24:59,280 --> 00:25:03,460
951
+ sensor ูŠุนู†ูŠ ุจุทุฑูŠู‚ุฉ ูƒู‡ุฑุจุงูŠุฉ ุงู† ุนู…ู„ูŠุฉ deflection
952
+
953
+ 239
954
+ 00:25:03,460 --> 00:25:11,830
955
+ ุจุญูˆู„ู‡ุง ู„ุณูŠุฌู†ุงู„ ูƒู‡ุฑุจุงุฆูŠุฉ ู…ู…ูƒู† ู‚ูŠุงุณู‡ุง ุจุญุงู„ุงุช ุชุงู†ูŠุฉ
956
+
957
+ 240
958
+ 00:25:11,830 --> 00:25:15,830
959
+ ูƒุงู† ุฏูŠ pressure induces strain may change
960
+
961
+ 241
962
+ 00:25:15,830 --> 00:25:18,770
963
+ electrical properties of the elastic member itself
964
+
965
+ 242
966
+ 00:25:18,770 --> 00:25:22,710
967
+ ูŠุนู†ูŠ ุงู„ .. ุงู„ member ุงู„ู„ูŠ ุฃู†ุง ุจุนู…ู„ู‡ deformation
968
+
969
+ 243
970
+ 00:25:23,860 --> 00:25:26,520
971
+ deformation ู†ุงุชุฌุฉ ุนู† force ูˆ ุงู„ force ู†ุงุชุฌุฉ ุนู† ุงู„
972
+
973
+ 244
974
+ 00:25:26,520 --> 00:25:30,260
975
+ pressureุŒ ุงู„ู†ุชูŠุฌุฉ ุงู„ deformation ุงู„ุฎูˆุงุต ุงู„ูƒู‡ุฑุจุงุฆูŠ
976
+
977
+ 245
978
+ 00:25:30,260 --> 00:25:33,820
979
+ ุงู„ elastic member ุชุชุบูŠุฑุŒ ุฃู†ุง ุจู‚ูŠุช ุงู„ุชุบูŠุฑ ููŠ ุงู„ุฎูˆุงุต
980
+
981
+ 246
982
+ 00:25:33,820 --> 00:25:36,800
983
+ ุงู„ูƒู‡ุฑุจุงุฆูŠ ูˆ ุงู„ู„ูŠ ููŠ ุนู„ุงู‚ุฉ ุจูŠู† ุงู„ุทูŠุงุฑุฉ ูˆ ุงู„ุฎูˆุงุต
984
+
985
+ 247
986
+ 00:25:36,800 --> 00:25:40,000
987
+ ุงู„ูƒู‡ุฑุจุงุฆูŠ ูˆ ุงู„ deflection ูˆ ุงู„ deflection ุงู„ู„ูŠ
988
+
989
+ 248
990
+ 00:25:40,000 --> 00:25:42,280
991
+ ุนู„ุงู‚ุฉ ุจุงู„ force ูˆ ุงู„ force ุงู„ู„ูŠ ุงู„ู„ูŠ ุนู„ุงู‚ุฉ ุจูŠู‚ุงุด
992
+
993
+ 249
994
+ 00:25:42,280 --> 00:25:43,280
995
+ ุจุงู„ pressure
996
+
997
+ 250
998
+ 00:25:52,570 --> 00:25:59,890
999
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ force cell ุงู„ู„ูŠ ู‡ูŠ strain gauges ุงูŠูˆุฉ
1000
+
1001
+ 251
1002
+ 00:25:59,890 --> 00:26:02,930
1003
+ ุงู†ุช ุจุชุญูˆู„ู‡ุง ู„ deflection ููŠ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ุนู†ุฏูƒ force
1004
+
1005
+ 252
1006
+ 00:26:02,930 --> 00:26:07,770
1007
+ ุงู„ูˆุฒู† ุจุชุญูˆู„ู‡ ู„ force ุงู„ force ุจูŠุนู…ู„ ุงูŠู‡ ุงุดุŸ ุจูŠุนู…ู„
1008
+
1009
+ 253
1010
+ 00:26:07,770 --> 00:26:11,750
1011
+ .. ุจูŠุนู…ู„ deflection strain ุงู„ strain ุจูŠุนู…ู„ ุงูŠู‡ ุงุดุŸ
1012
+
1013
+ 254
1014
+ 00:26:11,750 --> 00:26:13,750
1015
+ ุงู„ change ููŠ ุงู„ resistance ุงู„ change ููŠ ุงู„
1016
+
1017
+ 255
1018
+ 00:26:13,750 --> 00:26:18,870
1019
+ resistance is measured ูˆ ุจุชุงุน ููŠ relation ููŠ ุนู„ุงู‚ุฉ
1020
+
1021
+ 256
1022
+ 00:26:18,870 --> 00:26:24,000
1023
+ ุจูŠุณู…ู‰ force cell ููŠ ุญุงู„ุฉ ุงู„ู…ูˆุงุฒูŠู† ุทูŠุจููŠ ู…ุง ูŠุณู…ู‰ ุงู„
1024
+
1025
+ 257
1026
+ 00:26:24,000 --> 00:26:29,100
1027
+ dead weight tester ุงู„ dead weight tester ูŠุณุชุฎุฏู…
1028
+
1029
+ 258
1030
+ 00:26:29,100 --> 00:26:34,180
1031
+ ู„ู…ุนุงูŠุฑุฉ ุฃุฌู‡ุฒุฉ ุงู„ุถุบุท dead weight tester ููƒุฑุฉ ูˆ
1032
+
1033
+ 259
1034
+ 00:26:34,180 --> 00:26:38,880
1035
+ ุจุณุงุทุฉ ุนู†ุฏุด
1036
+
1037
+ 260
1038
+ 00:26:38,880 --> 00:26:42,160
1039
+ ุดุงูŠููŠู† ุงู† ุงู†ุง ุนู†ุฏู‡ูŠู† structure ููŠ ุฒูŠุช ููŠ ุนู†ุฏู‡ูŠู†
1040
+
1041
+ 261
1042
+ 00:26:42,160 --> 00:26:51,160
1043
+ oil ููŠ ุงูŠุดุŸ ุฒูŠุช ูˆ ููŠ ุฎุฒุงู† ุฒูŠุช ู‡ูŠ oil reservoirููŠ
1044
+
1045
+ 262
1046
+ 00:26:51,160 --> 00:26:56,080
1047
+ ุนู†ุฏู‰ ู‡ู†ุง ู…ูƒุจุณ ูˆ ุจุญุท ุนู„ูŠู‡ ุฃูˆุฒุงู† ู…ูƒุจุณ ูˆ ุจุญุท ุนู„ูŠู‡
1048
+
1049
+ 263
1050
+ 00:26:56,080 --> 00:27:03,480
1051
+ ุฃูˆุฒุงู† ูˆ ููŠ ุนู†ุฏู‰ wheel ู‡ู†ุง ุนุดุงู† ุง adjust ููŠ ุงู„ุจุฏุงูŠุฉ
1052
+
1053
+ 264
1054
+ 00:27:03,480 --> 00:27:05,700
1055
+ ู„ู…ุง ุฃูˆู„ ุจุนู…ู„ set ุนู„ู‰ ุงู„ุฌู‡ุงุฒ ุง adjust ุงุฑุชูุงุน
1056
+
1057
+ 265
1058
+ 00:27:05,700 --> 00:27:10,600
1059
+ ุงู„ุฃูˆุฒุงู† adjust ุนุดุงู† ุฅุฐุง ููŠ ุฒูŠุช ู…ุง ุฒูŠุช ููŠ ู‡ูˆุง ู…ุง
1060
+
1061
+ 266
1062
+ 00:27:10,600 --> 00:27:16,780
1063
+ ู‡ูˆุง ูŠุนู†ูŠ ููŠ ุนู†ุฏู‰ ุจุธุจุท ูˆ ุจุถูŠุท ุงู„ุฃูˆุฒุงู† ูˆ ููŠ ุนู†ุฏู‰
1064
+
1065
+ 267
1066
+ 00:27:16,780 --> 00:27:22,440
1067
+ ุฌู‡ุงุฒ ุงู„ู„ู‰ ุจุฏู‰ ุนูŠุฑู‡ุจู‚ู‰ ูˆุตู„ู‡ ู‡ู†ุง ุงู„ุฃูˆุฒุงู† ุงุด ู‡ุฏู ู…ู†ู‡ุง
1068
+
1069
+ 268
1070
+ 00:27:22,440 --> 00:27:31,460
1071
+ ุชุนู…ู„ูƒ pressure ุงู„ุขู† ุงู†ุง ุนู†ุฏูŠ ู‡ู†ุง ู…ูƒุจุณ ุนู†ุฏูŠ
1072
+
1073
+ 269
1074
+ 00:27:31,460 --> 00:27:46,300
1075
+ ู…ูƒุจุณ ู‡ุงูŠ
1076
+
1077
+ 270
1078
+ 00:27:46,300 --> 00:27:54,390
1079
+ ู…ูƒุจุณู„ุฃุฎุฏุช ุงู„ู…ูƒุจุณ ุนู…ู„ุช ู„ู‡ free body diagram ุชุงุฎุฏุช
1080
+
1081
+ 271
1082
+ 00:27:54,390 --> 00:27:58,470
1083
+ ุงู„ dynamics ุชุงุฎุฏุช ุงู„ dynamics ุงู„ูุงุตู„ุฉ ุฏู‡ ุตุญุŸ ุงู‡
1084
+
1085
+ 272
1086
+ 00:27:58,470 --> 00:28:02,670
1087
+ ู„ุนู…ู„ุช ุงู„ free body diagram ู„ู„ู…ูƒุจุณ ููŠ force ุงู„ู„ูŠ ู‡ูˆ
1088
+
1089
+ 273
1090
+ 00:28:02,670 --> 00:28:14,130
1091
+ ุงูŠุงุด ู†ุชุฌุฉ ุนู† ุงู„ูˆุฒู† ู„ูŠุด ุงู„ุณุงูˆูŠุฉุŸ ููŠ ุฌูŠู‡ ููŠ ุดูƒู„
1092
+
1093
+ 274
1094
+ 00:28:14,130 --> 00:28:20,850
1095
+ ุฃุณุงุณูŠ basically ุทุจุนุงุงู„ pressure force ููŠ ู…ุณุงุญุฉ ููŠ
1096
+
1097
+ 275
1098
+ 00:28:20,850 --> 00:28:27,490
1099
+ ุงู„ area ูุงู„
1100
+
1101
+ 276
1102
+ 00:28:27,490 --> 00:28:35,190
1103
+ weight ุงู„ู„ูŠ ู‡ูˆ ูŠุณุชูˆู‰ mg ุทุจุนุง ู…ุงููŠุด motion ุนู†ุฏูŠ ู‡ุฐู‡
1104
+
1105
+ 277
1106
+ 00:28:35,190 --> 00:28:42,730
1107
+ ุจุชุณุงูˆูŠ ู…ุงููŠุด ุนู†ุฏูŠ ุงูŠู‡ ู…ุซู„ุง m ููŠ a ุจุชุณุงูˆูŠ zero
1108
+
1109
+ 278
1110
+ 00:28:42,730 --> 00:28:49,840
1111
+ ู…ุงููŠุด ุนู†ุฏูŠ motionุงู„ู€ P ุงู„ูˆุฒู† MG ุจุงู„ุณุงูˆุฉ P ููŠ A
1112
+
1113
+ 279
1114
+ 00:28:49,840 --> 00:28:53,000
1115
+ ูŠุนู†ูŠ
1116
+
1117
+ 280
1118
+ 00:28:53,000 --> 00:28:59,860
1119
+ ุงู„ pressure ุงู„ู„ูŠ ู‡ูˆ ุงู„ MG ุจุงู„ุณุงูˆุฉ P ุงู„ A ุงู„ู„ูŠ ู‡ูŠ
1120
+
1121
+ 281
1122
+ 00:28:59,860 --> 00:29:07,420
1123
+ ุจุฑุนู† ู„ูˆ ูƒุงู† ู…ุฏูˆุฑ 4 ุนู„ู‰ 4 ููŠ D ุชุฑุจูŠุน ุตุญ ุงู„ D ุงู„ู„ูŠ
1124
+
1125
+ 282
1126
+ 00:29:07,420 --> 00:29:08,400
1127
+ ู‡ูˆ ู‚ุทุฑ ุงู„ piston
1128
+
1129
+ 283
1130
+ 00:29:12,080 --> 00:29:21,780
1131
+ ู…ุนู†ุงุชู‡ ุงู„ pressure ู‡ูŠูƒูˆู† ุงู„ุณุงูˆู‰ ุงุฑุจุนุฉ ู… ุฌูŠ ุนู„ู‰ ุจุงูŠ
1132
+
1133
+ 284
1134
+ 00:29:21,780 --> 00:29:32,240
1135
+ ุฏูŠ ุชุฑุจูŠุน ู…ุนู†ุงุชู‡
1136
+
1137
+ 285
1138
+ 00:29:32,240 --> 00:29:37,840
1139
+ if I want to measure high pressures ุจุฏูŠ
1140
+
1141
+ 286
1142
+ 00:29:37,840 --> 00:29:42,230
1143
+ ุฃู„ุนุจ ุดุบู„ุชูŠู† ุงูˆ ูŠุนู†ูŠ ุงู„ู„ูŠ ุจูŠุฃุซุฑ ุนู„ู‰ ุงู„ pressureุงู„ู…ุง
1144
+
1145
+ 287
1146
+ 00:29:42,230 --> 00:29:46,430
1147
+ ุงู„ู„ูŠ ู‡ุงุฏ ุงู„ ุฌูŠ ูˆุงู„ุงุฑุจุน ุงู„ู„ูŠ ุจู‚ู‰ ูŠู‡ุฏู ุซูˆุงุจุช ุงู„ุจูŠุชู‡ุง
1148
+
1149
+ 288
1150
+ 00:29:46,430 --> 00:29:51,950
1151
+ ุงู„ pressure ุงู„ mass ูˆ ุงู„ ุฏูŠ ูƒู„ ู…ุง ุจุฒูˆุฏ ุงู„ mass ูƒู„
1152
+
1153
+ 289
1154
+ 00:29:51,950 --> 00:29:58,230
1155
+ ู…ุง ุจุงุฎุฏ pressure ุฃุนู„ู‰ ูƒู„ ู…ุง ุจู‚ู„ ุงู„ ุฏูŠ ุจุงุฎุฏ
1156
+
1157
+ 290
1158
+ 00:29:58,230 --> 00:30:02,870
1159
+ pressure ุฃุนู„ู‰ ู…ู† ุงู„ effect ุนู„ู‰ ุงู„ mass ูˆู„ุง ุงู„
1160
+
1161
+ 291
1162
+ 00:30:02,870 --> 00:30:08,330
1163
+ diameter ุฏู‡ ู„ู„ุงู‚ุง ู…ุน ุชุชู†ุงุณุจ ุชู†ุงุณุจ ุนูƒุณ ู…ุน ู…ุฑุจุน
1164
+
1165
+ 292
1166
+ 00:30:08,330 --> 00:30:15,610
1167
+ ุงู„ู‚ุทุฑ ูˆุจุงู„ุชุงู„ูŠุฃู†ุง ุจู‚ู‰ ุฃุตู…ู… ูŠุนู†ูŠ ู„ูˆ ุฃู†ุง ู…ุซู„ุง ุจุฏูŠ
1168
+
1169
+ 293
1170
+ 00:30:15,610 --> 00:30:20,590
1171
+ ุฃุฎุฏ ู…ุซู„ุง
1172
+
1173
+ 294
1174
+ 00:30:20,590 --> 00:30:24,570
1175
+ ู„ูˆ
1176
+
1177
+ 295
1178
+ 00:30:24,570 --> 00:30:27,770
1179
+ led ู„ูˆ ุญูƒูŠ ู‡ู†ุง ุนุดุงู† ุจุฏูŠ ุฃุตู… ุฌู‡ุงุฒู‡ุง ุจุฏูŠ ุฃุนุฑู ุงู„
1180
+
1181
+ 296
1182
+ 00:30:27,770 --> 00:30:30,910
1183
+ capacity ุจุชุงุนุชู‡ ู„ูˆ ุญูƒูŠุช ุนู†ุฏูŠ ุงู„ maximum mass
1184
+
1185
+ 297
1186
+ 00:30:30,910 --> 00:30:36,670
1187
+ ุจุงู„ุณูˆุงุก ู…ุซู„ุง ู…ุงุฆุฉ kilogram ู…ุซู„ุง ุงูˆ ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุนุดุฑุฉ
1188
+
1189
+ 298
1190
+ 00:30:36,670 --> 00:30:41,850
1191
+ kilogram ุฎู„ูŠู‡ ู…ุงุฆุฉ kilo ู…๏ฟฝ๏ฟฝุดูŠู‡ูˆ ุงู„ maximum pressure
1192
+
1193
+ 299
1194
+ 00:30:41,850 --> 00:30:46,190
1195
+ rating 100
1196
+
1197
+ 300
1198
+ 00:30:46,190 --> 00:30:50,510
1199
+ ู…ูŠุฌุงุจุงุณูƒุงู„ ู…ุซู„ุง ูŠุนู†ูŠ ุงุฐุง ูƒู†ุช ู…ุงุฆุฉ ู…ูŠุฌุงุจุงุณูƒุงู„ ู…ูŠุฉ
1200
+
1201
+ 301
1202
+ 00:30:50,510 --> 00:31:01,930
1203
+ ููŠ ุนุดุฑ ุนู‚ู„ ุณุชุฉ ุญุณุงุจ ุฃุฑุจุน ููŠ ู…ูŠุฉ ููŠ ุชุณุนุฉ point
1204
+
1205
+ 302
1206
+ 00:31:01,930 --> 00:31:09,430
1207
+ ุชู…ุงู†ูŠุฉ ุตูุฑ ุณุชุฉ ุนู„ู‰ ุจุงูŠ ุฏูŠ ุชุฑุจูŠู‡ ุจุฏุง ุงุดูˆู ุงูŠุด ุงู„ D
1208
+
1209
+ 303
1210
+ 00:31:09,430 --> 00:31:17,850
1211
+ ุงู„ู„ูŠ ุจุชุนุทูŠุงู„ maxistic ู…ุนู†ุงู‡ ุฏูŠ ุงูŠุด ู‡ุชุณุงูˆูŠ ุฏูŠ ู‡ุชูƒูˆู†
1212
+
1213
+ 304
1214
+ 00:31:17,850 --> 00:31:23,930
1215
+ ุงุฑุจุนุฉ ูู‰ ู…ูŠุฉ ุงุฑุจุนุฉ ูู‰ ู…ูŠุฉ ูˆ ุชู…ุงู…ุง ุชู…ุงู…ุง ุณุชุฉ ุนู„ู‰
1216
+
1217
+ 305
1218
+ 00:31:23,930 --> 00:31:30,990
1219
+ ู…ูŠุฉ ูู‰ ุนุดุฑุฉ ูˆ ุณุชุฉ ููŠ ุงูŠู‡ ุงุด ููŠ ุจุงู‰ ุณูŠุจู‚ูˆุงู‡ุง
1220
+
1221
+ 306
1222
+ 00:31:30,990 --> 00:31:37,270
1223
+ ุญุฏ
1224
+
1225
+ 307
1226
+ 00:31:37,270 --> 00:31:37,850
1227
+ ูŠุญุณุจ ู„ูŠู‡ุง
1228
+
1229
+ 308
1230
+ 00:32:05,660 --> 00:32:08,640
1231
+ ูŠุนู†ูŠ ุฃูƒู…ู„ ุจูŠุทู„ุนุŒ ุฃุฎุฏ ุงู„ุฌุฒุฑ
1232
+
1233
+ 309
1234
+ 00:32:19,240 --> 00:32:26,580
1235
+ ุชู„ุงุชุฉ point ุฎู…ุณุฉ ุชู„ุงุชุฉ ุนุดุฑุฉ ุฃุณุงู„ุฉ ุชู„ุงุชุฉ ุงู„ู‡ูˆู…ุชุฑ
1236
+
1237
+ 310
1238
+ 00:32:26,580 --> 00:32:30,140
1239
+ ูŠุนู†ูŠ ุงู†ุง ูƒุงู… ุชุทู„ุน ุชู„ุงุชุฉ point ุฎู…ุณุฉ ุชู„ุงุชุฉ ู…ู„ูŠ ู…ุชุฑ
1240
+
1241
+ 311
1242
+ 00:32:30,140 --> 00:32:35,760
1243
+ ู…ู„ูŠ ู…ุชุฑ ูˆ ุงู†ุง ููŠู‡ุง ูƒุชูŠุฑ ููŠ ุงู„ุณู…ุงุนุงุช ู‡ู†ุง ู…ู…ูƒู† ุงู†ุง
1244
+
1245
+ 312
1246
+ 00:32:35,760 --> 00:32:43,500
1247
+ ุงูƒุจุฑ ุงู„ D ุงูƒุชุฑ ูˆ ุนู„ู‰ ููƒุฑุฉ ู…ูŠุช ู…ูŠุฌุง ุจุณ ูƒุงู† ูŠุนู†ูŠ ุฃู„ู
1248
+
1249
+ 313
1250
+ 00:32:43,500 --> 00:32:51,500
1251
+ ุจุงุฑู…ูŠุช ู…ูŠุฌุงุจุงุณูƒุงู„ ุฃู„ู ุจุงุฑ ูู‚ู… ูƒุจูŠุฑ ูู…ุนู†ุงุชู‡ ุงู†ุชูˆุง
1252
+
1253
+ 314
1254
+ 00:32:51,500 --> 00:32:55,040
1255
+ ูŠุนู†ูŠ ู„ูŠู‡ ูุงู†ุง ุงุนู…ู„ุช ุงู„ุฃุฑู‚ุงู… ู‡ุฐู‡ ุงู†ุช ุชุฎูŠู‘ุฏูˆุง ุงุญู†ุง
1256
+
1257
+ 315
1258
+ 00:32:55,040 --> 00:32:58,780
1259
+ ู‡ุญุท ุฃูˆุฒุงู† ู‡ุญุท ูƒู…ูŠุงุช ุถุฎู…ุฉ ุนุดุงู† ุงุญุต ุนู„ู‰ ุถุบูˆุท ุนู„ูŠู‡
1260
+
1261
+ 316
1262
+ 00:32:58,780 --> 00:33:04,260
1263
+ ุทุจุนุง ููŠ limit design ู…ู†ู‡ุง design ููŠ limit ุจุฑุถู‡
1264
+
1265
+ 317
1266
+ 00:33:04,260 --> 00:33:07,880
1267
+ ู„ู‚ุทุฑ ู…ูŠู†ูุนุด ุชูƒูˆู† ุจุฑุถู‡ ุฑููŠู‡ ูƒุชูŠุฑ ููŠ ุนุงู…ู„ ุชุงู†ูŠ ุจุชุฏุฎู„
1268
+
1269
+ 318
1270
+ 00:33:07,880 --> 00:33:14,280
1271
+ ุนู„ู‰ ุงู„ุฎุท ุงู† ููŠ ุนู†ุฏู‰ ุงู„ oil ู‡ู†ุง ูˆ ุงู„ุชูุงุนู„ ู…ุน ุงู„ุฃุณุทุญ
1272
+
1273
+ 319
1274
+ 00:33:15,920 --> 00:33:20,460
1275
+ ูˆ ุงู„ leakage ูˆ ุงู„ clearance ููŠู‡ ุชูุงุตูŠู„ ูููŠู‡
1276
+
1277
+ 320
1278
+ 00:33:20,460 --> 00:33:23,560
1279
+ minimum diameter ุงุฐุง ูƒู†ุช ุชุนู…ู„ design ุงู„ุชูุงุตูŠู„ ููŠู‡
1280
+
1281
+ 321
1282
+ 00:33:23,560 --> 00:33:30,940
1283
+ minimum diameter ู„ู„ pistol ู‡ุฐุง
1284
+
1285
+ 322
1286
+ 00:33:30,940 --> 00:33:34,860
1287
+ ุทุจุนุง ุจูŠุนุทูŠู†ุง ุฏู‚ุฉ ุนุงู„ูŠุฉ ุฌุฏุง ุงุฐุง ุจุชุชุทู„ุน literature
1288
+
1289
+ 323
1290
+ 00:33:34,860 --> 00:33:41,660
1291
+ ููŠู‡ ุนุงู…ู„ ุญุณุงุจ ูŠุนู†ูŠุงู„ .. ุงู„ .. ุงู„ leakage ุงู„
1292
+
1293
+ 324
1294
+ 00:33:41,660 --> 00:33:47,120
1295
+ interaction ุจูŠู† ุงู„ .. ุงู‡ ู†ุนู… ุญุท ุฎุฒุงู† .. ุญุท ุฎุฒุงู†
1296
+
1297
+ 325
1298
+ 00:33:47,120 --> 00:33:51,740
1299
+ ู„ู„ุชุนูˆูŠุถ .. ุจู‚ูˆู„ ุงู„ุญุท ุฎุฒุงู† ุฐุงุช ู„ู„ุชุนูˆูŠุถุŸ ุญุท .. ุงู‡
1300
+
1301
+ 326
1302
+ 00:33:51,740 --> 00:33:57,980
1303
+ ุทุจุนุง ุญุท ุฎุฒุงู† ู„ู„ุชุนูˆูŠุถ ู„ .. ูููŠู‡ ุชูุงุตูŠู„ ุจุณ basically
1304
+
1305
+ 327
1306
+ 00:33:57,980 --> 00:34:01,310
1307
+ ู‡ุฐู‡ ู‡ูŠ ุงู„ principle basically ู‡ุฐู‡ .. ู‡ุฐู‡ุงู„ู€
1308
+
1309
+ 328
1310
+ 00:34:01,310 --> 00:34:04,810
1311
+ principle ู‡ุฐูŠ ุณุงู…ุฉ dead weight tester ุฒูŠ ู…ุง ุญูƒูŠู†ุง
1312
+
1313
+ 329
1314
+ 00:34:04,810 --> 00:34:08,790
1315
+ ูŠุณุชุฎุฏู… ู„ู…ุนุงูŠุฑุฉ
1316
+
1317
+ 330
1318
+ 00:34:08,790 --> 00:34:12,450
1319
+ ุฃุฌู‡ุฒุฉ
1320
+
1321
+ 331
1322
+ 00:34:12,450 --> 00:34:17,590
1323
+ ู‚ูŠุงุณ ุงู„ุถุบุท ุงู†ู‡ ุจู‚ูŠุต ุตุญ ูˆู„ุง ุจู‚ูŠุตุด ุตุญ ููŠ ุงุฌู‡ุฒุฉ ุถุบุท
1324
+
1325
+ 332
1326
+ 00:34:17,590 --> 00:34:23,330
1327
+ ู…ูŠุช ู…ูŠุฌุง ุงูˆ ุจุงุฑุŸ ููŠ ุงู‡ ุงูŠุด ุจุชุดุชุบู„ู‡ุงุŸ ููŠ ุจุนุถ ุงู„
1328
+
1329
+ 333
1330
+ 00:34:23,330 --> 00:34:27,610
1331
+ applications ุจุชูˆุตู„ ุงู„ ..ู…ุซู„ุง ุงุญู†ุง ุญุงูƒูŠู‡ุง ู†ุฑุฌุน
1332
+
1333
+ 334
1334
+ 00:34:27,610 --> 00:34:35,010
1335
+ ุงู„ูˆุญุฏุงุช ู‡ู†ุง ุฎุฏู†ุง ู†ุนุทูŠู„ูƒ ุงุดูŠ ุจุณ .. ุจุณ .. ุจุณ ู„ุญุธุฉ
1336
+
1337
+ 335
1338
+ 00:34:35,010 --> 00:34:39,810
1339
+ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ PSI
1340
+
1341
+ 336
1342
+ 00:34:39,810 --> 00:34:45,390
1343
+ one PSI ุจุงู„ุณุงูˆูŠุฉ ุณุช ุงู„ู ูˆ ุงุชู…ู†ู…ูŠุฉ ูˆ ุฎู…ุณ ุชุณุนูŠู†
1344
+
1345
+ 337
1346
+ 00:34:45,390 --> 00:34:55,230
1347
+ ุจุณูƒุงู„ one PSI ุจุงู„ุณุงูˆูŠุฉ ุณุช ุงู„ู ูˆ ุงุชู…ู†ู…ูŠุฉ ูˆ ุฎู…ุณ
1348
+
1349
+ 338
1350
+ 00:34:55,230 --> 00:34:55,730
1351
+ ุชุณุนูŠู†
1352
+
1353
+ 339
1354
+ 00:35:01,910 --> 00:35:16,930
1355
+ ุจุงุณูƒุงู„ one bar one bar one
1356
+
1357
+ 340
1358
+ 00:35:16,930 --> 00:35:27,050
1359
+ bar ุจูŠุณุงูˆูŠ ุนุดุฑ ู‚ุตุฑ ุฎู…ุณุฉ ุจุงุณูƒุงู„ ุนุดุฑ ู‚ุตุฑ ุฎู…ุณุฉ
1360
+
1361
+ 341
1362
+ 00:35:31,920 --> 00:35:40,240
1363
+ ูŠุนู†ูŠ one bar ุจุงู„ุณุงูˆูŠุฉ
1364
+
1365
+ 342
1366
+ 00:35:40,240 --> 00:35:47,980
1367
+ ุงุญุณุจ ู„ู…ูŠุฉ ุงู„ู ุน ุณุช ุชู„ุงุช ูˆ ุฎู…ุณ ุณุงูŠุช ุงุฑุจุนุฉ
1368
+
1369
+ 343
1370
+ 00:35:47,980 --> 00:35:53,380
1371
+ ุงุด ูˆ ู†ุต PSI
1372
+
1373
+ 344
1374
+ 00:35:53,380 --> 00:36:00,100
1375
+ ุตุญุŸ ุงุถุฑุจ ููŠ ุฎู…ุณ ุชู„ุงุช .. ุงู‡ ุฎู…ุณ ุชู„ุงุช ุนู„ู‰ ุงุฑุจุนุฉ ุงุด ูˆ
1376
+
1377
+ 345
1378
+ 00:36:00,100 --> 00:36:00,560
1379
+ ู†ุต ูƒุงู…
1380
+
1381
+ 346
1382
+ 00:36:04,320 --> 00:36:10,720
1383
+ ุนู„ู‰ 14.5 ูŠุนู†ูŠ
1384
+
1385
+ 347
1386
+ 00:36:10,720 --> 00:36:18,680
1387
+ ูŠุนู†ูŠ one psi ุจูŠุณุงูˆูŠ ูˆุงุญุฏ ุนู„ู‰ 14.5 ู…ุธุจูˆุท ุงุญุณุจ ู„ูŠู‡ุง
1388
+
1389
+ 348
1390
+ 00:36:18,680 --> 00:36:21,680
1391
+ ูˆุงุญุฏ ุนู„ู‰ 14.5 ูƒุงู† ุจูŠุณุงูˆูŠ one psi
1392
+
1393
+ 349
1394
+ 00:36:35,300 --> 00:36:40,760
1395
+ ุจุงุฑ ุฎู…ุณ ุชู„ุงุจูŠ ุฃุตู„ุง ุงุทู„ุจู‡ุง ููŠ ุฎู…ุณุฉ
1396
+
1397
+ 350
1398
+ 00:36:40,760 --> 00:36:50,160
1399
+ ูŠุนู†ูŠ
1400
+
1401
+ 351
1402
+ 00:36:50,160 --> 00:36:53,640
1403
+ ููŠ ู…ุซู„ุง ููŠ ุณูŠุงุฑุงุช ุงู„ .. ุงู„ .. ุงู„ hydraulic hybrid
1404
+
1405
+ 352
1406
+ 00:36:53,640 --> 00:36:58,910
1407
+ vehiclesุจูˆุตู„ ุงู„ุถุบุท ู„ 5000 PSI ูŠุนู†ูŠ ุจุชุญูƒูŠ ุนู„ู‰ 344
1408
+
1409
+ 353
1410
+ 00:36:58,910 --> 00:37:07,270
1411
+ ุจุงุฑ ูŠุนู†ูŠ ููŠ applications ู…ู…ูƒู† ุชูˆุตู„ ุงู„ุถุบุท ููŠู‡ุง ู„ุถุบุท
1412
+
1413
+ 354
1414
+ 00:37:07,270 --> 00:37:11,530
1415
+ ุนุงู„ูŠ ุฌุฏุง ูˆ ุจูŠุณุชุฎุฏู… ู…ูˆุงุฏ ุชู‚ูŠู‚ุฉ ุฌูŠุฏุฉ ูˆ ุนุงู„ูŠุฉ ุนุงุฏ
1416
+
1417
+ 355
1418
+ 00:37:11,530 --> 00:37:16,350
1419
+ ุฌูˆุฌู„ ู†ุนู… ุจูŠุณุชุฎุฏู… ู…ูˆุงุฏ ู…ู…ูˆู„ุฉ ูƒุชูŠุฑุฉ ุจุดูƒู„ ุงูˆ ุงูƒุณูŠู†ูŠุฉ
1420
+
1421
+ 356
1422
+ 00:37:16,350 --> 00:37:22,050
1423
+ ุจุดูƒู„ ุฌูŠุฏ ุงู„ู…ูˆุงุฏ ู„ุง ุงูŠุงุดุฃู‡ ุทุจุนุงุŒ ู‡ุฐุง ู…ูˆุถูˆุน ุชุงู†ูŠุŒ ุจุณ
1424
+
1425
+ 357
1426
+ 00:37:22,050 --> 00:37:25,530
1427
+ ุฃู†ู‡ ู‡ู„ ุงู„ุณุคุงู„ ุงุญู†ุง ู…ู…ูƒู† ู†ุตู„ ู„ุถุบุท ุฃู„ู barุŸ ุฃู‡ ุทุจุนุงุŒ
1428
+
1429
+ 358
1430
+ 00:37:25,530 --> 00:37:30,630
1431
+ ูˆ ุฃู„ููŠู†ุŸ ุฃู‡ ู…ู…ูƒู†ุŒ ุญุณุจ ุงู„ application ุนู†ุฏูƒ ุงู„ half
1432
+
1433
+ 359
1434
+ 00:37:30,630 --> 00:37:35,270
1435
+ marshal ุจุฒู†ุณุช ุชุตู„ ู„ุถุบุท ููŠู‡ุง ุจุงู„ุดูƒู„ ุฏู‡ ุฅูŠุด ุงู„ุดุบู„ุงุช
1436
+
1437
+ 360
1438
+ 00:37:35,270 --> 00:37:37,010
1439
+ ุงู„ู„ูŠ ุจุชุณู„ู… ู„ ุฃู„ู barุŸ
1440
+
1441
+ 361
1442
+ 00:37:40,670 --> 00:37:45,890
1443
+ ูŠุนู†ูŠ ุงู†ุง ุญูƒูŠุชู„ูƒ ู…ุซู„ุง ููŠ ุญุงู„ุฉ ุงู„ุบุงุฒุงุช ุงู„ู…ุถุบูˆุทุฉ ุนู†ุฏ
1444
+
1445
+ 362
1446
+ 00:37:45,890 --> 00:37:50,290
1447
+ ุชุฎุฒูŠู† ุงู„ุบุงุฒุงุช ุงุฐุง ุจุฏู‡ volume ู‚ู„ูŠู„ ุจุฏู‡ ุถุบุท ุนุงู„ูŠ ุฌุฏุง
1448
+
1449
+ 363
1450
+ 00:37:50,290 --> 00:37:54,050
1451
+ ู…ุซุงู„ ุจุณูŠุท ุญูƒูŠุชู„ูƒ ู„ูˆ ู‡ุฏูˆู„ูƒ hybrid vehicles ุจุชูˆุตู„
1452
+
1453
+ 364
1454
+ 00:37:54,050 --> 00:37:57,270
1455
+ ููŠู‡ุง ุชู„ุช ู…ูŠุฉ ูˆ ุฎู…ุณูŠู† ุชู„ุช ู…ูŠุฉ ูˆ ุณุชูŠู† bar ุชู„ุช ู…ูŠุฉ ูˆ
1456
+
1457
+ 365
1458
+ 00:37:57,270 --> 00:38:00,710
1459
+ ุฎู…ุณูŠู† bar ูŠุนู†ูŠ ุงุดูŠ .. ุงุดูŠ ูƒุจูŠุฑ ุฌุฏุง ุฌุฏุง ู‡ุฐุง ุงู„ู„ูŠ
1460
+
1461
+ 366
1462
+ 00:38:00,710 --> 00:38:04,190
1463
+ ุฌุงูŠ ุนู„ู‰ ุจู‡ุฏู‡ ุงู„ุง ุงุฐุง ุจุฏูƒ ุชุนุฑู ุงูƒุชุฑ ุฎุด ุนู„ู‰ ุงู„ net
1464
+
1465
+ 367
1466
+ 00:38:04,190 --> 00:38:08,950
1467
+ ุงูƒุชุจ high very high very high pressure
1468
+
1469
+ 368
1470
+ 00:38:08,950 --> 00:38:09,690
1471
+ applications
1472
+
1473
+ 369
1474
+ 00:38:19,990 --> 00:38:28,390
1475
+ ู‡ุชุดูˆู ุงู„ุชุทุจูŠู‚ ุจุนุฏ ูƒุชูŠุฑ ุทูŠุจ
1476
+
1477
+ 370
1478
+ 00:38:28,390 --> 00:38:37,590
1479
+ ุงู„ dead weight tester ู‡ุงูŠ ุดูƒู„ู‡ ูŠุนู†ูŠ
1480
+
1481
+ 371
1482
+ 00:38:37,590 --> 00:38:42,610
1483
+ ู…ุจูŠู† ุนู†ุฏูŠ ู‡ูŠู† ุงู„ pressure gauge ุจุชุนู…ู„ู‡ calibration
1484
+
1485
+ 372
1486
+ 00:38:42,610 --> 00:38:48,720
1487
+ ุนู†ุฏูŠ ู‡ุงูŠ ุงู„ุฃูˆุฒุงู† ูˆู‡ูŠ ุงู„ pistonู‡ุฐุง ุงู„ูˆุฒุงู† ูˆู‡ุฐุง ุงู„
1488
+
1489
+ 373
1490
+ 00:38:48,720 --> 00:38:53,120
1491
+ piston ูˆ ุงู„ body ุจุชุงุนู†ุง ููŠู‡ ุฒูŠุช ูˆู‡ุฐู‡ for
1492
+
1493
+ 374
1494
+ 00:38:53,120 --> 00:39:05,160
1495
+ adjustment ูˆุงุถุญูŠู† ููŠู‡ ุฎุฒุงู† ุงู„ุฒูŠุช ุงู„
1496
+
1497
+ 375
1498
+ 00:39:05,160 --> 00:39:10,220
1499
+ .. ู†ุชุนุฑู ุนู„ู‰ ุทุฑู‚ ู‚ูŠุงุณ ุงู„ุถุบุท ู‡ู†ุจุฏุฃ ููŠ ุงู„ manometer
1500
+
1501
+ 376
1502
+ 00:39:10,220 --> 00:39:16,140
1503
+ ุงูˆ ุงู„ manometer ุงู„ manometer ู‡ูˆ ุฌู‡ุงุฒ ุฃูˆู„ุง ูŠุณุชุฎุฏู…
1504
+
1505
+ 377
1506
+ 00:39:16,140 --> 00:39:25,760
1507
+ ู„ู‚ูŠุงุณ ุงู„ุถุบุทุนู†ุฏูŠ ุจูŠูƒูˆู† U shape ู…ู†
1508
+
1509
+ 378
1510
+ 00:39:25,760 --> 00:39:34,540
1511
+ ุงู„ุฒุฌุงุฌ ุงูˆ ุจู„ุงุณุชูŠูƒ ุดูุงู ุจูŠูƒูˆู† ููŠ ุนู†ุฏูŠ liquid ุนู†ุฏูŠ
1512
+
1513
+ 379
1514
+ 00:39:34,540 --> 00:39:41,400
1515
+ liquid ู‡ูŠ ุงู„ู…ุตุฏุฑ ุงู„ connection ู„ู„ุถุบุท ุนู†ุฏูƒ ุทุจุนุง
1516
+
1517
+ 380
1518
+ 00:39:41,400 --> 00:39:43,880
1519
+ ุจูŠูƒูˆู† ุนู„ู‰ ุงู„ุฃุบู„ุจ ุงุฐุง ุนู†ุฏูŠ liquid ู‡ูƒูˆู† ุนุงูŠุด ุนู†ุฏูŠ
1520
+
1521
+ 381
1522
+ 00:39:43,880 --> 00:39:49,450
1523
+ ุบุงุฒ ู‡ูŠ ุงู„ู…ุตุฏุฑ ุงู„ pressure to be measuredูˆ ู‡ู‰ ุนู„ู‰
1524
+
1525
+ 382
1526
+ 00:39:49,450 --> 00:39:51,950
1527
+ ุงู„ุทุฑู ุงู„ุชุงู†ู‰ ุจูŠูƒูˆู† ููŠู‡ atmospheric pressure ู†ุชูŠุฌุฉ
1528
+
1529
+ 383
1530
+ 00:39:51,950 --> 00:39:57,110
1531
+ ุถุบุท ู‡ู‰ ู‡ุถุบุท ุนู„ู‰ ุงู„ fluid ูˆ ู‡ุงุนู„ู‰ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู„ู‰ ู‡ูˆ
1532
+
1533
+ 384
1534
+ 00:39:57,110 --> 00:40:03,910
1535
+ ุจูŠู† ู‡ุฏ ูˆ ู‡ุฏ ุงู„ู„ู‰ ู‡ู‰ H ุงู„ pressure ู„ูˆ ุฃุฎุฏุช ุฃู†ุง ู‡ู‰
1536
+
1537
+ 385
1538
+ 00:40:03,910 --> 00:40:07,110
1539
+ ุนู†ุฏ
1540
+
1541
+ 386
1542
+ 00:40:07,110 --> 00:40:12,090
1543
+ ุงู„ู†ู‚ุทุฉ ู‡ุฏ ุงู„ pressure ู‡ู‰ ุงู„ pressure ู‡ุณุงูˆู‰ ู‡ู‰ ู„ูˆ
1544
+
1545
+ 387
1546
+ 00:40:12,090 --> 00:40:13,450
1547
+ ุฃุฎุฏุช ุงู„ุนู…ูˆุฏ ู‡ุฏ ู„ุญุงู„ู‡
1548
+
1549
+ 388
1550
+ 00:40:22,050 --> 00:40:26,970
1551
+ ู‡ูŠูƒูˆู† ู‡ู†ุง ุงู„ pressure ู‡ู†ุง ุจุณุงูˆูŠ ู‡ู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงูŠุด ุงู„
1552
+
1553
+ 389
1554
+ 00:40:26,970 --> 00:40:32,850
1555
+ pressure ู‡ู†ุง ุตุญ P ู‡ูŠูƒูˆู† P ู…ุณุงุญุฉ
1556
+
1557
+ 390
1558
+ 00:40:32,850 --> 00:40:43,110
1559
+ ุงู„ู…ู‚ุทุน ู‡ูŠู‚ูˆู… ุงูŠุด ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„ ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„
1560
+
1561
+ 391
1562
+ 00:40:43,110 --> 00:40:54,470
1563
+ ุงู„ W ู‡ูŠุณุงูˆ P ููŠ ุงู„ area ูˆุฒู† ุนู…ูˆุฏ ุงู„ุณุงุฆู„ู‡ูŠูƒูˆู† ู…ุณุงุญุฉ
1564
+
1565
+ 392
1566
+ 00:40:54,470 --> 00:40:59,190
1567
+ ุงู„ู…ู‚ุทุน ููŠ ุงู„ุงุฑุชูุงุน ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ุญุฌู… ู…ุณุงุญุฉ ุงู„ู…ู‚ุทุน
1568
+
1569
+ 393
1570
+ 00:40:59,190 --> 00:41:10,650
1571
+ ููŠ ุงู„ุงุฑุชูุงุน ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ุญุฌู… ููŠ ูƒุซุงูุฉ ุจูŠุนุทูŠู†ูŠ
1572
+
1573
+ 394
1574
+ 00:41:10,650 --> 00:41:20,530
1575
+ ุฅูŠู‡ุŸ mass ููŠ ุฌูŠู‡ ุจูŠุนุทูŠู†ูŠ ุฅูŠู‡ุŸ ูˆุฒู† ูŠุนู†ูŠ ู‡ุฐู‡ ุฅูŠู‡ุŸ
1576
+
1577
+ 395
1578
+ 00:41:20,530 --> 00:41:21,510
1579
+ mass
1580
+
1581
+ 396
1582
+ 00:41:26,500 --> 00:41:33,840
1583
+ ูˆู‡ุฐุง ู„ุญุงู„ู‡ุง ูŠุด ู‡ุฐุง volume ููŠ ุฌูŠ ุจูŠ๏ฟฝ๏ฟฝูŠู† ูˆุฒู† ุจูŠุณุชูˆู‰ P
1584
+
1585
+ 397
1586
+ 00:41:33,840 --> 00:41:44,890
1587
+ ููŠ A and cancel ุงู„ A'sุงู„ุจุดุฑ ุจูŠุณุชูˆู‰ ุฑูˆ ุฌูŠ ุงุชุด
1588
+
1589
+ 398
1590
+ 00:41:44,890 --> 00:41:48,370
1591
+ ุจูŠุณุชูˆู‰
1592
+
1593
+ 399
1594
+ 00:41:48,370 --> 00:41:53,850
1595
+ ุฌุงู…ุน ููŠ ุงุชุด ุฌุงู…ุน ุงู„ู„ูŠ ู‡ูŠ ุงู„ specific weight ุฌุงู…ุน
1596
+
1597
+ 400
1598
+ 00:41:53,850 --> 00:41:56,290
1599
+ ุงู„ specific weight
1600
+
1601
+ 401
1602
+ 00:42:03,940 --> 00:42:12,200
1603
+ ุงู„ู€ Gamma ุจูŠุณุชูˆูŠ ุฑูˆ ููŠ ุฌูŠ ุงู„ ุฑูˆ ุจูŠู‚ูˆู„ ุนู† ุงู„ mass
1604
+
1605
+ 402
1606
+ 00:42:12,200 --> 00:42:16,240
1607
+ per
1608
+
1609
+ 403
1610
+ 00:42:16,240 --> 00:42:20,460
1611
+ unit volume mass
1612
+
1613
+ 404
1614
+ 00:42:20,460 --> 00:42:28,160
1615
+ ุนู„ู‰ volume ูŠุนู†ูŠ ุงู„ู…ุนู†ูŠุฉ ู‡ุชุตูŠุฑ mass ููŠ ุฌูŠ ุนู„ู‰
1616
+
1617
+ 405
1618
+ 00:42:28,160 --> 00:42:31,280
1619
+ volume ุงู„ mass ููŠ ุฌูŠ
1620
+
1621
+ 406
1622
+ 00:42:34,860 --> 00:42:43,960
1623
+ weight ุนู„ู‰ V ู„ู…ุง ุงู†ุง ุงู‚ุณู…ู‡ per unit volume ุจูŠุตูŠุฑ
1624
+
1625
+ 407
1626
+ 00:42:43,960 --> 00:42:49,400
1627
+ specific weight weight ู„ุญู‚ู„ู‡ it is weight per unit
1628
+
1629
+ 408
1630
+ 00:42:49,400 --> 00:42:52,100
1631
+ volume ุจูŠุตูŠุฑ ุงุณู…ู‡ specific weight ุนุดุงู† ุฐู„ูƒ ุงุญู†ุง
1632
+
1633
+ 409
1634
+ 00:42:52,100 --> 00:42:55,820
1635
+ ุณู…ูŠู†ุง ุงู„ุฌุงู…ุนุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ specific weight ุงู„ู„ูŠ ู‡ูˆ
1636
+
1637
+ 410
1638
+ 00:42:55,820 --> 00:43:00,660
1639
+ ุฑูˆ ููŠ ุฌูŠ ุทุจุนุง
1640
+
1641
+ 411
1642
+ 00:43:00,660 --> 00:43:08,270
1643
+ typically ุงู„ู„ูŠ ู…ู…ูƒู† ูŠูƒูˆู†ุงู„ู„ูŠูƒูˆุฏ ู‡ู†ุง ุฒุฆุจู‚ ู…ู…ูƒู† ูŠูƒูˆู†
1644
+
1645
+ 412
1646
+ 00:43:08,270 --> 00:43:16,690
1647
+ ู…ูŠู‡ ููŠ ุจุนุถ ุงู„ุชุทุจูŠู‚ุงุช ุทุจุนุง
1648
+
1649
+ 413
1650
+ 00:43:16,690 --> 00:43:22,090
1651
+ ู…ูŠุฒ ุฒุฆุจู‚ ุนู† ุงู„ู…ูŠู‡ ุงูŠุด ู‡ูŠ ูƒุชุงูุฉ
1652
+
1653
+ 414
1654
+ 00:43:22,090 --> 00:43:29,770
1655
+ ุทูŠุจ ุตุญูŠุญ ูƒุชุงูุฉ ุนู„ุดุงู† ู‡ุชููŠุฏู†ุง ุจุฏูŠุงู„ ุงู„ุงุชูุงู‚
1656
+
1657
+ 415
1658
+ 00:43:29,770 --> 00:43:32,050
1659
+ ู„ุงู†ู‡
1660
+
1661
+ 416
1662
+ 00:43:33,160 --> 00:43:37,040
1663
+ ุฅุฐุง ูƒุงู† ุงู„ุถุบุท ุนุงู„ูŠ ูˆ ุงู„ุงุณุชุฎุฏุงู… ุงู„ู„ูŠ ุจูŠุฏุนู…ู‡ ุฏู‡ ุนุงู„ูŠ
1664
+
1665
+ 417
1666
+ 00:43:37,040 --> 00:43:41,460
1667
+ ูƒุชูŠุฑ ุทูˆุงู„ ูƒุชูŠุฑ ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุฎู…ุณุงุดุฑ ุถุนู ุงู„ุฐุฆุจู‚ ู„ุฅู†
1668
+
1669
+ 418
1670
+ 00:43:41,460 --> 00:43:48,120
1671
+ ูƒุซุงูุฉ ุงู„ุฐุฆุจู‚ ุญูˆุงู„ูŠ ุฎู…ุณุงุดุฑ ู…ุฑุฉ ูƒุซุงูุฉ ุงู„ู…ูŠู‡ ูƒุงู…ุŸ
1672
+
1673
+ 419
1674
+ 00:43:48,120 --> 00:43:54,140
1675
+ ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุงุฑุจุนุชุงุดุฑ ุถุนู ุงู„ู„ูŠ ู‡ุงู†ู‚ุด ู…ุฒุงูŠุง ุงู„ .. ุงู„
1676
+
1677
+ 420
1678
+ 00:43:54,140 --> 00:44:02,670
1679
+ .. ุงู„ manometers ุฃูˆู„ุด ุงู„ construction ุจุชุงุนู‡ุง ุจุณูŠุทูˆ
1680
+
1681
+ 421
1682
+ 00:44:02,670 --> 00:44:06,670
1683
+ ู…ุด ุบุงู„ูŠุฉ ูˆ
1684
+
1685
+ 422
1686
+ 00:44:06,670 --> 00:44:09,370
1687
+ ุจุนุฏูŠู† relatively free from error ูŠุนู†ูŠ ุฃู†ุช ุจุชู‚ุฑุฃ
1688
+
1689
+ 423
1690
+ 00:44:09,370 --> 00:44:14,670
1691
+ ุงุฑุชูุงุน ูŠุนู†ูŠ
1692
+
1693
+ 424
1694
+ 00:44:14,670 --> 00:44:17,570
1695
+ ุจูŠุจูŠู† ุฅุฐุง ุนู†ุฏูƒ ู…ุดูƒู„ุฉ ููŠ ุงู†ุณุฏุงุฏ ุจูŠุจูŠู† ุฅุฐุง ุฃู…ูˆุฑ
1696
+
1697
+ 425
1698
+ 00:44:17,570 --> 00:44:21,050
1699
+ ู…ุงููŠุด ุงู†ุณุฏุงุฏ ูˆ ุงู„ุฃู…ูˆุฑ ู…ุงุดูŠุฉ ุจูŠุนุทูŠู„ูƒ ู‚ุฑุงุกุฉ ุฏู‚ูŠู‚ุฉ
1700
+
1701
+ 426
1702
+ 00:44:21,050 --> 00:44:25,530
1703
+ ุฅู„ู‰ ุญุฏ ู…ุง ูŠุนู†ู‰ maybe arranged to almost any degree
1704
+
1705
+ 427
1706
+ 00:44:25,530 --> 00:44:32,420
1707
+ of sensitivity ู…ู…ูƒู† ุชุนู…ู„ .. ุชุชุญูƒู…ุจุฏุฑุฌุฉ ุงู„ุญุณุงุณูŠุฉ
1708
+
1709
+ 428
1710
+ 00:44:32,420 --> 00:44:36,700
1711
+ ุจุชุงุนุชู‡ ุทูŠุจ
1712
+
1713
+ 429
1714
+ 00:44:36,700 --> 00:44:42,000
1715
+ ุงู„ disadvantages ุงู„ู…ุฒุงูŠุง poor
1716
+
1717
+ 430
1718
+ 00:44:42,000 --> 00:44:46,480
1719
+ dynamic response ุงูŠุด ูŠุนู†ูŠ poor dynamic responseุŸ
1720
+
1721
+ 431
1722
+ 00:44:46,480 --> 00:44:48,980
1723
+ ุงุฐุง ูƒุงู† ุนู†ุฏูŠ ุงู„ pressure ุงู„ู„ูŠ ู‡ูŠ ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุตู‡
1724
+
1725
+ 432
1726
+ 00:44:48,980 --> 00:44:54,400
1727
+ ููŠู‡ fluctuation ุฐุจุฐุจ ุนุงู„ูŠ ูƒุชูŠุฑ ููŠู‡ ุจุชุบูŠุฑ ุจุดูƒู„ ุณุฑูŠุน
1728
+
1729
+ 433
1730
+ 00:44:54,400 --> 00:45:00,090
1731
+ ุฌุฏุง ุงู„ fluid ุญุฑูƒุชู‡ ุงุณุชุฌุงุจุชู‡ุจุชูƒูˆู†ุด ู…ุชู†ุงุณุจุฉ ู…ุด
1732
+
1733
+ 434
1734
+ 00:45:00,090 --> 00:45:03,670
1735
+ ุณุฑูŠุนุฉุŒ ุงู†ู‡ ุฑุฏุฏ ูุนู„ู‡ ุจุทูŠุกุŒ ุจุฏูƒ ุชุณุชู†ู‰ ุดูˆูŠุฉ ุนู„ูŠู‡ุŒ
1736
+
1737
+ 435
1738
+ 00:45:03,670 --> 00:45:06,810
1739
+ ูุงู†ุช ุนุงู… ุชุณุชู†ู‰ ุจุชูƒูˆู† ุงู„ุชูุงุตูŠู„ ุงู„ู„ูŠ ุตุงุฑุช ููŠ ุงู„ ..
1740
+
1741
+ 436
1742
+ 00:45:06,810 --> 00:45:09,790
1743
+ ุงู„ .. ุงู„ fluctuation ูุงู‚ุฏุชู‡ุงุŒ ู…ุงุดูˆูุชู‡ุงุด
1744
+
1745
+ 437
1746
+ 00:45:16,150 --> 00:45:21,050
1747
+ not practical for measuring high pressures ู…ุด ..
1748
+
1749
+ 438
1750
+ 00:45:21,050 --> 00:45:25,970
1751
+ ู…ุด .. ู…ุด .. ู…ุด ู…ู†ุงุณุจ ููŠ ุญูŠุงุฉ ุงู„ high pressures ู„ุฃู†
1752
+
1753
+ 439
1754
+ 00:45:25,970 --> 00:45:31,790
1755
+ ุจุฏูƒ ุฃุนู…ุฏุฉ ุงู„ุณุงุฆู„ ุชูƒูˆู† ุทูˆูŠู„ุฉ ูƒุชูŠุฑ ูŠุนู†ูŠ ู…ุซู„ุง ุงู„ูˆุงุญุฏ
1756
+
1757
+ 440
1758
+ 00:45:31,790 --> 00:45:38,690
1759
+ ุจุงุฑ ููŠ ุงู„ู…ูŠู‡ ูŠุนุงุฏู„ ุฑุชูุงุน ุนู…ูˆุถ ู…ูŠู‡ ุนุดุฑุฉ ู…ุชุฑ ููŠ
1760
+
1761
+ 441
1762
+ 00:45:38,690 --> 00:45:45,280
1763
+ ุงู„ุฐุฆุจู‚ ุนุดุฑุฉ ุงู„ุงุฑุจุนุชุงุดุง ุชู‚ุฑูŠุจุง ุชู…ุงู†ูŠุฉ ู…ู† ูŠุนู†ูŠูŠุนู†ูŠ
1764
+
1765
+ 442
1766
+ 00:45:45,280 --> 00:45:53,820
1767
+ ุฃู‚ู„ ู…ู† ู…ุชุฑ ุจุดูˆูŠุฉ ู‡ุฐุง ูˆุงุญุฏ bar ุทูŠุจ meat bar ุงู„ meat
1768
+
1769
+ 443
1770
+ 00:45:53,820 --> 00:45:59,980
1771
+ bar ูŠุนู†ูŠ ุฃู„ู ู…ุชุฑ ู…ูŠุฉ ุฃู„ู ุนู„ู‰ ุฃุฑุจุนุชุงุด ุญูˆุงู„ูŠ ุณุจุนุชุงุดุฑ
1772
+
1773
+ 444
1774
+ 00:45:59,980 --> 00:46:06,740
1775
+ ู…ูŠุฉ ูˆ ุณุจุนุฉ ุฃู„ู ุนู„ู‰ ุณุจุนุชุงุดุฑ ุฃูƒุชุฑ ู…ุง ุจูŠุทู„ุน ุฃู„ู ุนู„ู‰
1776
+
1777
+ 445
1778
+ 00:46:06,740 --> 00:46:11,600
1779
+ ุฃุฑุจุนุชุงุดุณุชุฉ .. ุณุจุนุฉ .. ูˆุงุญุฏ ูˆ ุณุจุนูŠู† .. ุณุจุนูŠู† ..
1780
+
1781
+ 446
1782
+ 00:46:11,600 --> 00:46:17,420
1783
+ ูˆุงุญุฏ ูˆ ุณุจุนูŠู† ู…ุชุฑ ุนู…ูˆุฏ ุงู„ุฐู‚ุจู‚ ูู…ุด ุนู…ู„ูŠ ููŠ ุญุงู„ุฉ ุงู„
1784
+
1785
+ 447
1786
+ 00:46:17,420 --> 00:46:23,520
1787
+ high pressures ู†ุนู… ู„ูƒู† .. ู„ูƒู† ููŠ ุญุงู„ุฉ ุงู„ low
1788
+
1789
+ 448
1790
+ 00:46:23,520 --> 00:46:29,040
1791
+ pressures low pressures ุนู…ู„ูŠ ุฌุฏุง ูˆ ุงุฐุง ุจุฏูŠ ุงูƒูˆู†
1792
+
1793
+ 449
1794
+ 00:46:29,040 --> 00:46:34,340
1795
+ very low pressures ููŠ ุญุงู„ุฉ very low pressuresูŠุนู†ูŠ
1796
+
1797
+ 450
1798
+ 00:46:34,340 --> 00:46:38,680
1799
+ ู…ู…ูƒู† ุฃุญูƒูŠ low to medium pressures ูƒูˆูŠุณ ุฃุณุชุฎุฏู… ุฐุฆุจูƒ
1800
+
1801
+ 451
1802
+ 00:46:38,680 --> 00:46:41,960
1803
+ ู„ูƒู† ุฅุฐุง ุจุฏูŠ very low pressures ุนุดุงู† to sensitive
1804
+
1805
+ 452
1806
+ 00:46:41,960 --> 00:46:49,780
1807
+ ุจุฏูŠ ุฃูƒุจุฑ ุงู„ุนู…ูˆุฏ ูุฃูุถู„ ุฃุณุชุฎุฏู… ู…ูŠู‡ ู…ู…ุง ุฃุณุชุฎุฏู… ุฐุฆุจูƒ
1808
+
1809
+ 453
1810
+ 00:46:49,780 --> 00:46:53,300
1811
+ ูุจูƒูˆู† sensitive ูŠุนู†ูŠ ุงู„ .. ุฅูŠุด ูŠุนู†ูŠ sensitiveุŸ ุฅู†ู‡
1812
+
1813
+ 454
1814
+ 00:46:53,300 --> 00:47:00,200
1815
+ small input ุจูŠุนุทูŠู†ูŠ huge outputthat could be
1816
+
1817
+ 455
1818
+ 00:47:00,200 --> 00:47:05,100
1819
+ measured with ease ูู‡ูŠ ู…ุนู†ู‰ sensitive sensitive ู„ู„
1820
+
1821
+ 456
1822
+ 00:47:05,100 --> 00:47:10,440
1823
+ input ุจูŠูƒูˆู† small input ุจูŠุนุทูŠู†ุง ุงูŠุด ูŠุนู†ูŠ small
1824
+
1825
+ 457
1826
+ 00:47:10,440 --> 00:47:14,080
1827
+ change in input ุจูŠุนุทูŠู†ุง high change in output
1828
+
1829
+ 458
1830
+ 00:47:14,080 --> 00:47:19,180
1831
+ ูุงู†ุฏูŠ
1832
+
1833
+ 459
1834
+ 00:47:19,180 --> 00:47:24,940
1835
+ ุงู„ will type manometer ุงู†ุฏูŠ ุงู„ will type will type
1836
+
1837
+ 460
1838
+ 00:47:24,940 --> 00:47:30,280
1839
+ manometer ุงู„ will type manometerุจูƒูˆู† ุนู†ุฏูŠ ุฎุฒุงู†
1840
+
1841
+ 461
1842
+ 00:47:30,280 --> 00:47:37,440
1843
+ ูƒุจูŠุฑ ู„ู„ fluid ูŠุนู†ูŠ ู‚ุทุฑ ุงู„ surface area ู‡ู†ุง ุฃูƒุจุฑ
1844
+
1845
+ 462
1846
+ 00:47:37,440 --> 00:47:44,520
1847
+ ุจูƒุชูŠุฑ ู…ู† ุงู„ surface area ู„ู‡ุงู„ tube ู…ุนู†ุงุชู‡ ู„ู…ุง
1848
+
1849
+ 463
1850
+ 00:47:44,520 --> 00:47:47,860
1851
+ ูŠุฑุชูุน
1852
+
1853
+ 464
1854
+ 00:47:47,860 --> 00:47:55,600
1855
+ ูŠุนู†ูŠ ู„ูˆ ุญูƒูŠู†ุง ู…ุซู„ุง ู‡ุฐู‡ ู‚ุทุฑู‡ุง ู…ุซู„ุง ุนุดุฑุฉ ุตู†ุทุฉ ูˆ ู‡ุฐู‡
1856
+
1857
+ 465
1858
+ 00:47:55,600 --> 00:47:56,720
1859
+ ู‚ุทุฑ ูˆุงุญุฏ ุตู†ุทุฉ
1860
+
1861
+ 466
1862
+ 00:48:06,280 --> 00:48:11,100
1863
+ ูŠุนู†ูŠ ุฅุฐุง ู‡ุฐุง ู†ุฒู„ ูˆุงุญุฏ ุตู…ุชูŠ ู‡ูƒูˆู† ุงู„ volume ุงู„ู„ูŠ ู‡ู†ุง
1864
+
1865
+ 467
1866
+ 00:48:11,100 --> 00:48:14,520
1867
+ ู†ูุณ ุงู„ volume ุงู„ู„ูŠ ู‡ู†ุงูƒ ุตุญุŸ ูŠุนู†ูŠ ู‡ูƒูˆู† ุงู† ุฏูŠ ุจุงูŠ
1868
+
1869
+ 468
1870
+ 00:48:14,520 --> 00:48:22,900
1871
+ ุนู„ู‰ ุฃุฑุจุนุฉ ููŠ ุนุดุฑุฉ ุชุฑุจูŠุน ููŠ ูˆุงุญุฏ ุตู…ุชูŠ ุณูˆุงุก ุจุงูŠ ุนู„ู‰
1872
+
1873
+ 469
1874
+ 00:48:22,900 --> 00:48:33,720
1875
+ ุฃุฑุจุนุฉ ุงู„ู‚ุทุฑ ู‡ู†ุงูƒ ูˆุงุญุฏ ุตู…ุชูŠ ููŠ ุฅูŠุดุŸ ููŠ H ูŠุนู†ูŠ
1876
+
1877
+ 470
1878
+ 00:48:38,610 --> 00:48:45,130
1879
+ ุงู„ู€ H ูˆุงู„ุณุงูˆูŠู‡ุด ู…ุงุฆุฉ ุตู†ุทุฉ ูŠุนู†ูŠ ู‡ู†ุง ุชุบูŠุฑ ูˆุงุญุฏ ุตู†ุทุฉ
1880
+
1881
+ 471
1882
+ 00:48:45,130 --> 00:48:52,570
1883
+ ุงุญุฏุซ ุงู„ุชุบูŠูŠุฑ ู‡ู†ุง ู…ุงุฆุฉ ุตู†ุทุฉ ุนุดุงู† ูŠุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1884
+
1885
+ 472
1886
+ 00:48:52,570 --> 00:49:05,190
1887
+ weld type manometer ุทุจุนุง
1888
+
1889
+ 473
1890
+ 00:49:05,190 --> 00:49:11,010
1891
+ ุงู„ pressure to be measured ู…ู† ู‡ู†ุงู‡ู†ุง ุจูŠูƒูˆู† ุถุบุท ุฌูˆุฉ
1892
+
1893
+ 474
1894
+ 00:49:11,010 --> 00:49:21,270
1895
+ ุงู„ูุฑู‚ ุงู„ู„ูŠ ู‡ูˆ P2-P1 P2-P1 ุงู„ู„ูŠ ู‡ูŠ ู‡ุชูƒูˆู† ุงุฑุชูุงุน ุงู„
1896
+
1897
+ 475
1898
+ 00:49:21,270 --> 00:49:22,890
1899
+ raw ููŠ G ููŠ H
1900
+
1901
+ 476
1902
+ 00:49:36,500 --> 00:49:41,040
1903
+ ุงู„ู…ุญุงุถุฑุฉ ุฌุงูŠ ุจู†ูƒู…ู„ ู‡ู†ุญูƒูŠ ุนู† ุงู„ bored tube gauges
1904
+
1905
+ 477
1906
+ 00:49:41,040 --> 00:49:47,060
1907
+ ุฃู†ุง ุญุงุทุท ููŠุฏูŠูˆู‡ุงุช ุนู„ู‰ ุงู„ bored tube gauges ุชูุฑุฌูˆุง
1908
+
1909
+ 478
1910
+ 00:49:47,060 --> 00:49:51,580
1911
+ ุนู„ู‰ ุงู„ููŠุฏูŠูˆ ููŠู‡ ู‡ุชุดูˆููˆุง ุจุนุถ ููŠุฏูŠูˆู‡ุงุช ุชุงู†ูŠุฉ ุงุนุทูŠูƒูˆุง
1912
+
1913
+ 479
1914
+ 00:49:51,580 --> 00:49:51,940
1915
+ ุงู„ุนุงููŠุฉ
1916
+
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/fsJPSc6Bf8A_raw.json ADDED
The diff for this file is too large to render. See raw diff
 
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/hlq-AxVPL0k.srt ADDED
@@ -0,0 +1,1472 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,180 --> 00:00:08,460
3
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,460 --> 00:00:15,060
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ ููŠ ุงู„ุดุทุฑ ุงู„ุซุงู„ุซ ุชู‚ูŠูŠู… ูˆุนุฑุถ
8
+
9
+ 3
10
+ 00:00:15,060 --> 00:00:18,320
11
+ ุงู„ุจูŠุงู†ุงุช accessing and presenting experimental
12
+
13
+ 4
14
+ 00:00:18,320 --> 00:00:23,720
15
+ data ุงู„ู…ุฑููˆุถ ุญูƒูŠู†ุง ุนู„ู‰ ุงู„ hypothesis testing ุนุฑูู†ุง
16
+
17
+ 5
18
+ 00:00:23,720 --> 00:00:29,500
19
+ ุฃู† ููŠู‡ ุนู†ุฏู†ุง ูŠูƒูˆู† two hypothesis ูุฑุถูŠุชูŠู† ุงู„ู„ูŠ ู‡ูˆ
20
+
21
+ 6
22
+ 00:00:29,500 --> 00:00:34,510
23
+ ุงู„ null hypothesis ูˆ ุงู„ alternative hypothesis ุทุจุนุง
24
+
25
+ 7
26
+ 00:00:34,510 --> 00:00:39,670
27
+ ู‡ุงูƒูŠ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ left-tailed hypothesis ูˆ
28
+
29
+ 8
30
+ 00:00:39,670 --> 00:00:42,870
31
+ ููŠ ุนู†ุฏูŠ right-tailed hypothesis ูˆ ููŠ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ
32
+
33
+ 9
34
+ 00:00:42,870 --> 00:00:48,210
35
+ centered hypothesis ุงูˆ two-sided hypothesis ุญู„ูŠู†ุง
36
+
37
+ 10
38
+ 00:00:48,210 --> 00:00:50,750
39
+ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ุฃู…ุซู„ุฉ ุนู„ู‰ hypothesis testing
40
+
41
+ 11
42
+ 00:01:04,930 --> 00:01:08,950
43
+ ูˆุตู„ู†ุง ู„ุญุฏ ุงู„ุขู† ุทุจุนุง ู‡ู†ู‚ูˆู„ ุฃู…ุซู„ุฉ ุงู„ hypothesis
44
+
45
+ 12
46
+ 00:01:08,950 --> 00:01:13,370
47
+ testing ู„ small sample size ูŠุนู†ูŠ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุฃู‚ู„
48
+
49
+ 13
50
+ 00:01:13,370 --> 00:01:17,990
51
+ ู…ู† ุซู„ุงุซูŠู† ู‡ู†ูƒู…ู„ ุงู„ูŠูˆู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ hypothesis
52
+
53
+ 14
54
+ 00:01:17,990 --> 00:01:23,310
55
+ testing for single
56
+
57
+ 15
58
+ 00:01:23,310 --> 00:01:28,390
59
+ mean ู„ large sample size ูŠุนู†ูŠ ุงู„ุนุฏุฏ ุฃูƒุจุฑ ู…ู† ุซู„ุงุซูŠู†
60
+
61
+ 16
62
+ 00:01:28,390 --> 00:01:32,490
63
+ ู†ูุณ ุงู„ process ุฃูˆ ู†ูุณ ุฎุทูˆุงุช ุงู„ hypothesis testing
64
+
65
+ 17
66
+ 00:01:32,490 --> 00:01:37,300
67
+ ููŠ ุงู„ small sample size ุงู„ู„ูŠ ุจูŠุฎุชู„ู ุฅู†ู†ุง ุจู†ุณุชุจุฏู„ T
68
+
69
+ 18
70
+ 00:01:37,300 --> 00:01:43,520
71
+ alpha ูˆ Nu ุจ Z ูˆ Z in U ูˆ ุจู†ุณุชุจุฏู„ T experimental ุจ
72
+
73
+ 19
74
+ 00:01:43,520 --> 00:01:48,000
75
+ Z experimental ู‡ูŠ ุจุชุณุงูˆูŠ X bar minus B node ุนู„ู‰ S
76
+
77
+ 20
78
+ 00:01:48,000 --> 00:01:56,680
79
+ X ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ N ุญู„ู†ุง
80
+
81
+ 21
82
+ 00:01:56,680 --> 00:01:59,520
83
+ ุงู„ example ุซู…ุงู†ูŠุฉ
84
+
85
+ 22
86
+ 00:02:02,660 --> 00:02:06,700
87
+ ู„ุญุฏ ู‡ู†ุง ูˆุตู„ู†ุง ุงู„ูŠูˆู… ู‡ู†ูƒู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ .. ุงู„ .. ุงู„
88
+
89
+ 23
90
+ 00:02:06,700 --> 00:02:13,700
91
+ t-test comparison of sample means ุฅุฐุง
92
+
93
+ 24
94
+ 00:02:13,700 --> 00:02:19,940
95
+ ุฅุญู†ุง ุญุงุจูŠู† ู†ู‚ุงุฑู† ุนูŠู†ุชูŠู† ุจู†ุงุก ุนู„ู‰ ู…ุนุฑูุชู†ุง ุจุงู„ู‚ูŠู…
96
+
97
+ 25
98
+ 00:02:19,940 --> 00:02:25,460
99
+ ุงู„ู…ุชูˆุณุทุฉ ู„ู„ุนูŠู†ุชูŠู† ุจู†ุณุชุฎุฏู… ุงู„ t-test ุงู„ t-test ุจูŠุญูƒูŠ ู„ู„
100
+
101
+ 26
102
+ 00:02:25,460 --> 00:02:30,240
103
+ T value ุงู„ X ูˆุงุญุฏ bar minus X ุงุชู†ูŠู† bar ุนู„ู‰ ุงู„ุฌุฐุฑ
104
+
105
+ 27
106
+ 00:02:30,240 --> 00:02:33,960
107
+ ุงู„ุชุฑุจูŠุนูŠ ู„ S ูˆุงุญุฏ ุชุฑุจูŠุน ุนู„ู‰ N ูˆุงุญุฏ ุฒุงุฆุฏ S ุชุฑุจูŠุน ุนู„ู‰ N
108
+
109
+ 28
110
+ 00:02:33,960 --> 00:02:40,170
111
+ ุงุชู†ูŠู† ุงู„ X ูˆุงุญุฏ bar ู‡ูŠ ุงู„ mean value ู„ู…ุฌู…ูˆุนุฉ
112
+
113
+ 29
114
+ 00:02:40,170 --> 00:02:43,750
115
+ ุงู„ู‚ุฑุงุกุงุช ุงู„ุฃูˆู„ู‰ ู„ู€ sample ุงู„ุฃูˆู„ู‰ ู…ุซู„ุง ู…ุฆุฉ ู‚ุฑุงุกุฉ
116
+
117
+ 30
118
+ 00:02:43,750 --> 00:02:49,050
119
+ ุฃูˆ ุชุณุนูŠู† ู‚ุฑุงุกุฉ ุงู„ X two bar ู‡ูŠ ุงู„ mean ู„ second
120
+
121
+ 31
122
+ 00:02:49,050 --> 00:02:55,010
123
+ sample ู„ second sample ูˆ ุงู„ S ูˆุงุญุฏ ูˆ ุงู„ S ุงุชู†ูŠู† ุงู„
124
+
125
+ 32
126
+ 00:02:55,010 --> 00:02:59,250
127
+ standard deviation ู„ sample ูˆุงุญุฏ ูˆ sample ุงุชู†ูŠู†
128
+
129
+ 33
130
+ 00:03:01,980 --> 00:03:04,880
131
+ ุงู„ู€ value of T is compared to the interval plus or
132
+
133
+ 34
134
+ 00:03:04,880 --> 00:03:08,940
135
+ minus T ฮฑ/2 found in table 5
136
+
137
+ 35
138
+ 00:03:08,940 --> 00:03:09,520
139
+ (This line and the following 4 lines are unnecessary repetitions of "ุฎู…ุณุฉ")
140
+
141
+ 36
142
+ 00:03:09,520 --> 00:03:09,700
143
+
144
+
145
+ 37
146
+ 00:03:09,700 --> 00:03:11,620
147
+
148
+
149
+ 38
150
+ 00:03:11,620 --> 00:03:13,560
151
+
152
+
153
+ 39
154
+ 00:03:13,560 --> 00:03:18,680
155
+
156
+
157
+ 40
158
+ 00:03:18,680 --> 00:03:29,460
159
+
160
+ 41
161
+ 00:03:30,780 --> 00:03:36,680
162
+ ุฒุงุฆุฏ S2 ุชุฑุจูŠุน ุนู„ู‰ N2 ุนู„ู‰ N2 ู†ุงู‚ุต ูˆุงุญุฏ ุทุจุนุง ุงู„ N1 ุนุฏุฏ
163
+
164
+ 42
165
+ 00:03:36,680 --> 00:03:41,120
166
+ ุงู„ู‚ุฑุงุกุงุช ููŠ ุงู„ sample ุงู„ุฃูˆู„ู‰ N2 ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ููŠ ุงู„
167
+
168
+ 43
169
+ 00:03:41,120 --> 00:03:51,100
170
+ sample ุงู„ุซุงู†ูŠุฉ ุฎู„ูŠู†ูŠ ุฃุดูˆูู‡ุง ู…ู† ุฎู„ุงู„ example an
171
+
172
+ 44
173
+ 00:03:51,100 --> 00:03:57,780
174
+ apartment manager ุนู†ุฏู†ุง ูˆุงุญุฏ ู…ุฏูŠุฑ ุดุฑูƒุฉ ุนู‚ุงุฑุงุช
175
+
176
+ 45
177
+ 00:03:57,780 --> 00:04:04,290
178
+ ุจูŠุฃุฌุฑ ุดู‚ู‚ ุณูƒู†ูŠุฉ wishes to determine ูŠุฑุบุจ ููŠ ู…ุนุฑูุฉ
179
+
180
+ 46
181
+ 00:04:04,290 --> 00:04:08,210
182
+ if the life of if the life times are different
183
+
184
+ 47
185
+ 00:04:08,210 --> 00:04:11,130
186
+ under certain conditions for two major brands of
187
+
188
+ 48
189
+ 00:04:11,130 --> 00:04:15,230
190
+ light bulbs ุจุฏู‡ ูŠุบูŠุฑ ุงู„ู…ุตุงุจูŠุญ ุนู†ุฏู‡ ูููŠ ุนู†ุฏู‡ two
191
+
192
+ 49
193
+ 00:04:15,230 --> 00:04:20,070
194
+ brands ุนู†ุฏู‡ ู†ูˆุนูŠู† ู…ู† ุงู„ู…ุตุงุจูŠุญ ูู‡ูˆ ุจุฏู‡ ูŠู‚ุงุฑู† ุจูŠู†
195
+
196
+ 50
197
+ 00:04:20,070 --> 00:04:25,570
198
+ ุฃู…ุฏ ุญูŠุงุฉ ุงู„ู„ู…ุจุฉ brand A ูˆ ุฃู…ุฏ ุญูŠุงุฉ ุงู„ู„ู…ุจุฉ brand
199
+
200
+ 51
201
+ 00:04:25,570 --> 00:04:29,010
202
+ B ู…ู† ุดุฑูƒุชูŠู† ู…ุฎุชู„ูุชูŠู†
203
+
204
+ 52
205
+ 00:04:32,180 --> 00:04:35,780
206
+ In the following sample data the lifetime is in
207
+
208
+ 53
209
+ 00:04:35,780 --> 00:04:44,720
210
+ months ู„ุฅู† ู‡ูˆ ููŠ ุนู†ุฏู‡ ุจูŠุงู†ุงุช ู„ brand A ูˆ ู„ brand B ูˆ ููŠ
211
+
212
+ 54
213
+ 00:04:44,720 --> 00:04:48,820
214
+ ุนู†ุฏู‡ ู‚ุฑุงุกุงุช ู…ุนุทู‰ ุงู„ bulb A ู…ุนุทู‰ ุงู„ life time ููŠ
215
+
216
+ 55
217
+ 00:04:48,820 --> 00:04:52,700
218
+ ุงู„ุฃุดู‡ุฑ ูŠุนู†ูŠ ู‡ุฐู‡ ูŠุนู†ูŠ ุฅุญุฏู‰ ุงู„ู‚ุฑุงุกุงุช ุจุชุญูƒูŠ ุฃู†ู‡ 7.2
219
+
220
+ 56
221
+ 00:04:52,700 --> 00:04:57,660
222
+ ุดู‡ุฑ ุจุชุนูŠุด ู‚ุฑุงุกุฉ ุซุงู†ูŠุฉ 7.8 ู‚ุฑุงุกุฉ ุซุงู„ุซุฉ 6.9 ู‚ุฑุงุกุฉ
223
+
224
+ 57
225
+ 00:04:57,660 --> 00:05:00,680
226
+ ุฑุงุจุนุฉ 6.2 ุนู†ุฏ ูƒู… ู‚ุฑุงุกุฉ
227
+
228
+ 58
229
+ 00:05:04,450 --> 00:05:09,230
230
+ ุนู†ุฏูŠ ู‡ู†ุง ูˆุงุญุฏุฉุŒ
231
+
232
+ 59
233
+ 00:05:09,230 --> 00:05:17,330
234
+ ุงุซู†ุชุง ุนุดุฑุฉุŒ ุซู„ุงุซ ุนุดุฑุฉุŒ ุฃุฑุจุน ุนุดุฑุฉุŒ ุฎู…ุณ ุนุดุฑุฉุŒ ุฎู…ุณ ุนุดุฑุฉ ู‚ุฑุงุกุฉ
235
+
236
+ 60
237
+ 00:05:21,210 --> 00:05:26,970
238
+ ูููŠ ุนู†ุฏูŠ ู†ูˆุนูŠุฉ ู…ู† ุงู„ู…ุตุงุจูŠุญ A ูˆ ู…ุตุจุงุญ B ู„ูƒู„ ู…ุตุจุงุญ A ููŠ
239
+
240
+ 61
241
+ 00:05:26,970 --> 00:05:31,710
242
+ ุนู†ุฏูŠ ุจูŠุงู†ุงุช ุฅุญุตุงุฆูŠุฉ ุฃู…ุฏ ุญูŠุงุฉ ุงู„ู„ู…ุจุฉ A ุจุงู„ุดู‡ูˆุฑ ูˆ
243
+
244
+ 62
245
+ 00:05:31,710 --> 00:05:36,330
246
+ ุฃู…ุฏ ุญูŠุงุฉ ุงู„ู„ู…ุจุฉ B ุจุงู„ุดู‡ูˆุฑ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุงู„ู„ูŠ ู‡ูˆ
247
+
248
+ 63
249
+ 00:05:36,330 --> 00:05:42,130
250
+ ุงู„ู…ุชุงุญุฉ ู„ู„ู…ุตุจุงุญ A ุงุซู†ุชุง ุนุดุฑุฉ ู‚ุฑุงุกุฉ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุงู„ู…ุชุงุญุฉ
251
+
252
+ 64
253
+ 00:05:42,130 --> 00:05:49,090
254
+ ู„ู„ู…ุตุจุงุญ B ุฎู…ุณ ุนุดุฑุฉ ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุฃู†ุง ุจุฏูŠ ุงู‚ุงุฑู† ุจูŠู†ู‡ู…
255
+
256
+ 65
257
+ 00:05:49,090 --> 00:05:57,660
258
+ ุทุจุนุง ู‡ูˆ ุฃูˆู„ ุดูŠุก ุงู„ null hypothesis ุฅู†ู‡ ุจุชุญูƒูŠ ุฅู† ุงู„
259
+
260
+ 66
261
+ 00:05:57,660 --> 00:06:05,700
262
+ life time ุนู…ุฑ ุงู„ู„ู…ุจุฉ A ุชู‚ุฑูŠุจุง with some confidence ู‡ูŠ
263
+
264
+ 67
265
+ 00:06:05,700 --> 00:06:07,920
266
+ ู†ูุณ ุงู„ life time ุจุชุงุนุฉ B ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ null
267
+
268
+ 68
269
+ 00:06:07,920 --> 00:06:15,340
270
+ hypothesis ูŠุนู†ูŠ X A bar ุจุณุงูˆูŠ X B bar ู‡ุฐุง ุงู„ null
271
+
272
+ 69
273
+ 00:06:15,340 --> 00:06:24,570
274
+ ุงู„ alternative ุฅู†ู‡ XA ุงู„ life time ุจุชุงุนุฉ A ู…ุฎุชู„ูุฉ ุนู† XB
275
+
276
+ 70
277
+ 00:06:24,570 --> 00:06:29,530
278
+ XA not equal XB ูŠุนู†ูŠ ู‡ู†ุง two hypothesis ุฅู…ุง ุงู„
279
+
280
+ 71
281
+ 00:06:29,530 --> 00:06:32,650
282
+ life time ุจุชุงุนุฉ A ู‡ุชูƒูˆู† ู†ูุณู‡ุง ุชู‚ุฑูŠุจุง with some level of
283
+
284
+ 72
285
+ 00:06:32,650 --> 00:06:37,950
286
+ confidence ุฃูˆ ู‡ุชูƒูˆู† ู…ุฎุชู„ูุฉ ุจู†ุงุก ุนู„ู‰ ุงู„ูุฑุถูŠุงุช ู‡ุฐู‡
287
+
288
+ 73
289
+ 00:06:37,950 --> 00:06:45,310
290
+ ู‡ูŠู‚ุฑุฑ ุฅูŠุด ูŠุฎุชุงุฑ ู‡ูˆ ููŠ ุงู„ุฃูˆู„ ู‡ูŠุญุณุจ ุฅูŠุด ุงู„ average
291
+
292
+ 74
293
+ 00:06:45,310 --> 00:06:46,690
294
+ life time
295
+
296
+ 75
297
+ 00:06:50,820 --> 00:07:01,320
298
+ ู‡ูŠุญุณุจ ุงู„ XA ุจุงุฑ ุงู„ XA ุจุงุฑ ุฅูŠุด ุชุณุงูˆูŠุŸ ู…ุฌู…ูˆุน ุงู„ู‚ูŠู…
299
+
300
+ 76
301
+ 00:07:01,320 --> 00:07:10,220
302
+ ู…ุน ุงู„ุนุฏุฏ ูŠุนู†ูŠ summation ู„ู„ XA I I ู…ู† ูˆุงุญุฏ ู„ู€ ุงุซู†ูŠ ุนุดุฑ
303
+
304
+ 77
305
+ 00:07:10,220 --> 00:07:19,240
306
+ ุนู„ู‰ N ูˆุงุญุฏ ุทุจุนุง N ูˆุงุญุฏ ุนู†ุฏู†ุง ูƒู… ุชุณุงูˆูŠ 12 ูŠุนู†ูŠ
307
+
308
+ 78
309
+ 00:07:19,240 --> 00:07:21,940
310
+ ุฅุญู†ุง ู†ุฌู…ุน ุงู„ู‚ุฑุงุกุงุช ู‡ุฐูˆู„ ุณุจุนุฉ ูุงุตู„ุฉ ุงุซู†ูŠู† ุฒุงุฆุฏ ุณุจุนุฉ
311
+
312
+ 79
313
+ 00:07:21,940 --> 00:07:24,160
314
+ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุฒุงุฆุฏ ุณุชุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุฒุงุฆุฏ ุณุชุฉ ูุงุตู„ุฉ ุงุซู†ูŠู†
315
+
316
+ 80
317
+ 00:07:24,160 --> 00:07:28,660
318
+ ุจุฏู†ุง ู†ู‚ุณู… ุนู„ู‰ ุงุซู†ูŠ ุนุดุฑ ุญุณุจ ุงู„ X bar ุชุทู„ุน ุณุชุฉ ูุงุตู„ุฉ ุชุณุนุฉ
319
+
320
+ 81
321
+ 00:07:28,660 --> 00:07:34,160
322
+ ุฃุฑุจุนุฉ ุณุชุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุฃุฑุจุนุฉ ูŠุนู†ูŠ ุฎู„ู‘ูŠู†ูŠ ุฃู†ุง ุฃุญูƒูŠู‡ุง
323
+
324
+ 82
325
+ 00:07:34,160 --> 00:07:41,880
326
+ ู‡ุชูƒูˆู† ุชุณุงูˆูŠ ุณุจุนุฉ ูุงุตู„ุฉ ุงุซู†ูŠู† ุฒุงุฆุฏ
327
+
328
+ 83
329
+ 00:07:41,880 --> 00:07:53,860
330
+ ุณุจุนุฉ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุฒุงุฆุฏ 6.6 ุฒุงุฆุฏ
331
+
332
+ 84
333
+ 00:07:53,860 --> 00:07:59,980
334
+ ุจู‚ูŠุฉ ุงู„ู‚ุฑุงุกุงุช ู„ุญุฏ 6.2 ุนู„ู‰
335
+
336
+ 85
337
+ 00:07:59,980 --> 00:08:11,440
338
+ 12 ู‡ุชุทู„ุน ุงู„ X bar ุงู„ู„ูŠ ู‡ูˆ 6.94 month ุงู„ X bar
339
+
340
+ 86
341
+ 00:08:19,550 --> 00:08:28,990
342
+ ู‡ุชุณุงูˆู‰ ุงู„ summation ู„ู„ X ุจูŠ I I ู…ู† ูˆุงุญุฏ ู„ุฎู…ุณ ุนุดุฑุฉ
343
+
344
+ 87
345
+ 00:08:28,990 --> 00:08:37,550
346
+ ุนู„ู‰ N ุงุชู†ูŠู† N ุงุชู†ูŠู† ู…ุงู‡ูŠ ุชุณุงูˆูŠ ุฎู…ุณ ุนุดุฑุฉ ูŠุนู†ูŠ ู‡ุชุณุงูˆู‰
347
+
348
+ 88
349
+ 00:08:37,550 --> 00:08:43,110
350
+ ุนู†ุฏูŠ ุณุจุนุฉ ูุงุตู„ุฉ ุฎู…ุณุฉ ุฒุงุฆุฏ ุซู…ุงู†ูŠุฉ ูุงุตู„ุฉ ุณุจุนุฉ
351
+
352
+ 89
353
+ 00:08:45,810 --> 00:08:56,330
354
+ ุขุฎุฑ ูˆุงุญุฏุฉ ุณุชุฉ ูุงุตู„ุฉ ูˆุงุญุฏ ุนู„ู‰ ุฎู…ุณ ุนุดุฑุฉ ุณุชุตุจุญ ุณุจุนุฉ
355
+
356
+ 90
357
+ 00:08:56,330 --> 00:09:02,870
358
+ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ุณุจุนุฉ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ูŠุนู†ูŠ
359
+
360
+ 91
361
+ 00:09:02,870 --> 00:09:09,670
362
+ ู…ู…ูƒู† ู†ุนู…ู„ู‡ุง ุนู„ู‰ excel sheet ุงู„ู…ูุฑูˆุถ
363
+
364
+ 92
365
+ 00:09:09,670 --> 00:09:11,490
366
+ ุฃู† ุงู„ู‚ุฑุงุกุงุช ู‡ุฐู‡ ู…ูˆุฌูˆุฏุฉ ุนู†ุฏู‡
367
+
368
+ 93
369
+ 00:09:23,030 --> 00:09:28,290
370
+ ุทูŠุจ ุฃู†ุชู… ุงุนุทูˆู†ูŠ ุงู„ู‚ุฑุงุกุงุช ุจุณ ู‡ู†ุนู…ู„ู‡ุง ุนู„ู‰ ุงู„ excel
371
+
372
+ 94
373
+ 00:09:28,290 --> 00:09:38,350
374
+ ุดูƒู„ู‡ ู…ุด ุนู„ู‰ ุงู„ excel ุทูŠุจ ู†ูุชุญ ุงู„ excel ุงุนุทูˆู†ูŠ
375
+
376
+ 95
377
+ 00:09:38,350 --> 00:09:44,530
378
+ ู„ู€ bulb a ุนู†ุฏูŠ
379
+
380
+ 96
381
+ 00:09:44,530 --> 00:09:58,730
382
+ bulb ุซูˆุงู†ูŠ ุซูˆุงู†ูŠ ุจุณ a ุนู†ุฏูŠ bulb B ูˆ ุฃู†ุง ู‡ุญุท ุฃุตู„ุง ู‡ุงูŠ
383
+
384
+ 97
385
+ 00:09:58,730 --> 00:10:17,950
386
+ ูˆุงุญุฏุฉ ุทูŠุจ
387
+
388
+ 98
389
+ 00:10:24,960 --> 00:10:41,320
390
+ ุฃูŠูˆุฉ ุจู„ุจ a ุฃูŠูˆุฉ ุนุดุงู† ุงุนุทูŠู†ูŠ ุฅูŠุงู‡ุง 7.2 7.6 6.9 8.2 7.3
391
+
392
+ 99
393
+ 00:10:41,320 --> 00:11:03,270
394
+ 7.8 6.6 6.9 6.9 5.5 7.4 5.7 6.2 7
395
+
396
+ 100
397
+ 00:11:03,270 --> 00:11:29,810
398
+ .5 8.7 7.7 7.5 6.7 11.2 7.0 10.7 7.0
399
+
400
+ 101
401
+ 00:11:29,810 --> 00:11:53,470
402
+ 8.6 6.1 6.3 7.8 8.7 6.1 ุงู„ mean
403
+
404
+ 102
405
+ 00:11:58,920 --> 00:12:06,680
406
+ ุงู„ู€ mean ู‡ุชุณุงูˆู‰ ุงู„ average ุฃูˆ
407
+
408
+ 103
409
+ 00:12:06,680 --> 00:12:20,720
410
+ ุฎู„ู‘ูŠู†ูŠ ุฃุทู„ุนู‡ุง ุจุฑุฉ ู‡ู†ุง ุจุฏูŠ
411
+
412
+ 104
413
+ 00:12:20,720 --> 00:12:25,240
414
+ ุฃุญูƒูŠ ุฅู† ุนู†ุฏูŠ ู‡ู†ุง ุงู„ mean ูˆ ุงู„ standard
415
+
416
+ 105
417
+ 00:12:34,100 --> 00:12:42,100
418
+ deviation ุงู„ู€ mean ู‡ูŠุชุณุงูˆูŠ ุงู„ average ู„ู„ู‚ุฑุงุกุงุช
419
+
420
+ 106
421
+ 00:12:42,100 --> 00:12:42,440
422
+ ู‡ุฐูˆู„
423
+
424
+ 107
425
+ 00:13:13,330 --> 00:13:20,390
426
+ ู‡ูˆ standard deviation ููŠ ุนู†ุฏูŠ ุงุชู†ูŠู† ููŠ ุนู†ุฏูŠ P ูˆ
427
+
428
+ 108
429
+ 00:13:20,390 --> 00:13:25,670
430
+ S ูŠุนู†ูŠ ู‡ุฐุง sample ST ู‡ุฐุง ู„ู‡ุฐูˆู„ ูƒู„ู‡ู…
431
+
432
+ 109
433
+ 00:13:39,790 --> 00:13:44,190
434
+ ุจุณ ู‡ุบูŠุฑ .. ู…ุง ุขุฎุฐุด ูƒู„ ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ ู„ุญุฏ C .. ู‡ู†ุนู…ู„
435
+
436
+ 110
437
+ 00:13:44,190 --> 00:13:52,210
438
+ ุงู„ู€ C 14 ูˆ ู†ุตู„ ู„ุญุฏ C 17 ู‡ุฐู‡ ู„ุญุฏ C .. C 17 ุนุดุงู†
439
+
440
+ 111
441
+ 00:13:52,210 --> 00:14:01,250
442
+ ูŠุฃุฎุฐ ูƒู„ ุงู„ุจูŠุงู†ุงุช ูˆ ุงู„ุชุญุชุงู†ูŠุฉ ุจุฑุถู‡ C 17 ุฎู„ูŠู†ูŠ
443
+
444
+ 112
445
+ 00:14:01,250 --> 00:14:01,730
446
+ ุฃุดุชุบู„
447
+
448
+ 113
449
+ 00:14:23,320 --> 00:14:25,820
450
+ ู…ุนู†ุงุชู‡ ุฅู† ุฃู†ุง ุญุณุจุช ุงู„ mean ูˆ ุงู„ standard deviation
451
+
452
+ 114
453
+ 00:14:25,820 --> 00:14:32,400
454
+ ุงู„ mean ุฌู…ุน ุงู„ู‚ุฑุงุกุงุช ูƒู„ู‡ุง ูˆ ู‚ุณู…ุชู‡ุง ุนู„ู‰ ุงู„ุนุฏุฏ ุงู„
455
+
456
+ 115
457
+ 00:14:32,400 --> 00:14:36,960
458
+ standard deviation ุงู„ู„ูŠ ุตุงุฑ ู‡ูˆ ุจุงู„ุชูุตูŠู„ ุจุชุงุนู‡ุง ุญุณุจ
459
+
460
+ 116
461
+ 00:14:36,960 --> 00:14:42,080
462
+ ุงู„ deviation ู„ูƒู„ ู‚ุฑุงุกุฉ ูŠุนู†ูŠ ุงู„ deviation ู„ูƒู„ ู‚ุฑุงุกุฉ
463
+
464
+ 117
465
+ 00:14:42,080 --> 00:14:47,920
466
+ ุนู† ุงู„ mean ุจุนุฏูŠู† ุฑุจุนู‡ู… ุจุนุฏูŠู† ู‚ุณู… ุนู„ู‰ n ู†ุงู‚ุต ูˆุงุญุฏ
467
+
468
+ 118
469
+ 00:14:47,920 --> 00:14:52,970
470
+ ุจุนุฏูŠู† ุฃุฎุฐ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ุจุงู„ุทุฑูŠู‚ุฉ ุฏูŠ ุญุณุจ ุงู„ standard
471
+
472
+ 119
473
+ 00:14:52,970 --> 00:15:01,570
474
+ deviation ูุงู„
475
+
476
+ 120
477
+ 00:15:01,570 --> 00:15:07,570
478
+ standard deviation ู„ู€ A ุทู„ุน 0.82 month ูˆ ู„ู€ B
479
+
480
+ 121
481
+ 00:15:07,570 --> 00:15:13,750
482
+ 1.53 month ู†ูุณ
483
+
484
+ 122
485
+ 00:15:13,750 --> 00:15:20,100
486
+ ุงู„ุดูŠุก ูˆ ุงู„ means ุณุชุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุฃุฑุจุนุฉ ูˆ ุณุจุนุฉ ูุงุตู„ุฉ
487
+
488
+ 123
489
+ 00:15:20,100 --> 00:15:27,020
490
+ ุซู…ุงู†ูŠุฉ ุฃุฑุจุนุฉ ู†ูุณ ุงู„ุดูŠุก ู…ุนู†ุงุชู‡ ุตุญูŠุญ ุงู„ุขู† ุจุฏูŠ ุฃุญุณุจ
491
+
492
+ 124
493
+ 00:15:27,020 --> 00:15:33,340
494
+ ุทุจุนุง ุงู„ degrees of freedom ู„ุฃุฌู„ ุฅูŠุดุŸ ูƒู… ูƒู… ู‚ุฑุงุกุฉ
495
+
496
+ 125
497
+ 00:15:33,340 --> 00:15:37,380
498
+ ุนู†ุฏูŠ ู…ุงุดูŠ ู…ุนู†ุงุชู‡ degrees of freedom ู‡ุชูƒูˆู† ุฅูŠุดุŸ N ู†ุงู‚ุต
499
+
500
+ 126
501
+ 00:15:37,380 --> 00:15:41,780
502
+ ูˆุงุญุฏ ุงู„ู„ูŠ ู‡ูŠ ูƒู…ุŸ ุฅุญุฏู‰ ุนุดุฑุฉ ู‡ุฐู‡ ุฃุฑุจุน ุนุดุฑุฉ ู„ุฃู† ุจุฏูŠ
503
+
504
+ 127
505
+ 00:15:41,780 --> 00:15:45,120
506
+ ุขุฎุฐ ุงู„ combined degrees of freedom
507
+
508
+ 128
509
+ 00:15:47,990 --> 00:15:50,830
510
+ ุงู„ู€ degrees of freedom ู…ุทุงุจู‚ ู„ู„ุนู„ุงู‚ุฉ ุงู„ู„ูŠ ุฃู†ุชู…
511
+
512
+ 129
513
+ 00:15:50,830 --> 00:15:55,810
514
+ ุดุงูŠููŠู†ู‡ุง ุงู„ U ุจูŠุณุงูˆูŠ
515
+
516
+ 130
517
+ 00:15:55,810 --> 00:16:04,710
518
+ S ูˆุงุญุฏ ุชุฑุจูŠุน ุนู„ู‰ N ูˆุงุญุฏ ุฒุงุฆุฏ S ุงุชู†ูŠู† ุชุฑุจูŠุน ุนู„ู‰ N
519
+
520
+ 131
521
+ 00:16:04,710 --> 00:16:09,970
522
+ ุงุชู†ูŠู† ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰
523
+
524
+ 132
525
+ 00:16:12,230 --> 00:16:22,950
526
+ S1 ุชุฑุจูŠุน ุนู„ู‰ N1 ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰ N1 ู†ุงู‚ุต ูˆุงุญุฏ ุฒุงุฆุฏ S2
527
+
528
+ 133
529
+ 00:16:22,950 --> 00:16:31,210
530
+ ุชุฑุจูŠุน ุนู„ู‰ N2 ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰ N2 ู†ุงู‚ุต ูˆุงุญุฏ ูŠุนู†ูŠ
531
+
532
+ 134
533
+ 00:16:31,210 --> 00:16:32,170
534
+ ุณูŠูƒูˆู† S1
535
+
536
+ 135
537
+ 00:16:36,740 --> 00:16:51,400
538
+ S1 ุฃูˆ 0.82 ุชุฑุจูŠุน ุนู„ู‰ ุงุซู†ูŠ ุนุดุฑ ุฒุงุฆุฏ 1
539
+
540
+ 136
541
+ 00:16:51,400 --> 00:17:03,180
542
+ ูุงุตู„ุฉ ุฎู…ุณุฉ ุซู„ุงุซุฉ ุชุฑุจูŠุน ุนู„ู‰ ุฎู…ุณ ุนุดุฑุฉ ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰ 0
543
+
544
+ 137
545
+ 00:17:03,180 --> 00:17:12,480
546
+ ูุงุตู„ุฉ ุซู…ุงู†ูŠุฉ ุงุซู†ูŠู† ุชุฑุจูŠุน ุนู„ู‰ ุงุซู†ูŠ ุนุดุฑ ุงู„ูƒู„ ุชุฑุจูŠุน ุฒุงุฆุฏ 1
547
+
548
+ 138
549
+ 00:17:12,480 --> 00:17:19,380
550
+ ูุงุตู„ุฉ ุฎู…ุณุฉ ุซู„ุงุซุฉ ุชุฑุจูŠุน ุนู„ู‰ ุฎู…ุณ ุนุดุฑุฉ ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰
551
+
552
+ 139
553
+ 00:17:19,380 --> 00:17:32,300
554
+ ุฅุญุฏู‰ ุนุดุฑ ุนู„ู‰ ุฃุฑุจุน ุนุดุฑุฉ ุชุทู„ุน ุนู†ุฏูŠ ุชู‚ุฑูŠุจุง ุงุซู†ูŠู†
555
+
556
+ 140
557
+ 00:17:32,300 --> 00:17:38,680
558
+ ูˆุนุดุฑูŠู† ุงู„ู„ูŠ ู‡ูŠ ุงู„ degrees of freedom ู„ two samples
559
+
560
+ 141
561
+ 00:17:38,680 --> 00:17:44,180
562
+ ู…ุน ุจุนุถ ุงู„ู…ุนุงุฏู„ุฉ
563
+
564
+ 142
565
+ 00:17:44,180 --> 00:17:51,940
566
+ T experimental ุงู„ุขู†
567
+
568
+ 143
569
+ 00:17:51,940 --> 00:17:58,580
570
+ ุฃู†ุง ู‡ูŠูƒูˆู† ุชุณุงูˆูŠ X1 bar minus X2 bar ุฃูˆ ุฎู„ูŠู†ุง ู†ู‚ูˆู„ XA
571
+
572
+ 144
573
+ 00:17:58,580 --> 00:18:09,380
574
+ bar minus XB bar ุนู„ู‰ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ู€ S A ุชุฑุจูŠุน ุนู„ู‰
575
+
576
+ 145
577
+ 00:18:09,380 --> 00:18:26,480
578
+ N A ุฒุงุฆุฏ S B ุชุฑุจูŠุน ุนู„ู‰ N B ูŠุนู†ูŠ ุญูŠุซ ุชุณุงูˆูŠ X A ูƒู…ุŸ X
579
+
580
+ 146
581
+ 00:18:26,480 --> 00:18:33,620
582
+ A ุงู„ู„ูŠ ู‡ูˆ ุณุชุฉ ูุงุตู„ุฉ ุชุณุนุฉ ุฃุฑุจุนุฉ minus
583
+
584
+ 147
585
+ 00:18:36,250 --> 00:18:42,730
586
+ 7.84 ุนู„ู‰
587
+
588
+ 148
589
+ 00:18:42,730 --> 00:18:54,610
590
+ ุงู„ุฌุฐุฑ ุงู„ุชุฑุจูŠุนูŠ ู„ู€ 0.82 ุชุฑุจูŠุน ุนู„ู‰
591
+
592
+ 149
593
+ 00:18:54,610 --> 00:19:01,090
594
+ ุงุซู†ูŠ ุนุดุฑ ุฒุงุฆุฏ 1.53 ุชุฑุจูŠุน ุนู„ู‰ ุฎู…ุณ ุนุดุฑุฉ
595
+
596
+ 150
597
+ 00:19:01,090 --> 00:19:03,230
598
+ ุจุชุทู„ุน ุนู†ุฏูŠ
599
+
600
+ 151
601
+ 00:19:06,230 --> 00:19:23,750
602
+ ุงู„ู„ูŠ ู‡ูŠ ู†ุงู‚ุต ูˆุงุญุฏ ูุงุตู„ุฉ ุชุณุนุฉ ุฎู…ุณุฉ ุฃุฑุจุนุฉ ุงู„ุขู†
603
+
604
+ 152
605
+ 00:19:23,750 --> 00:19:28,630
606
+ ุงู„ confidence level
607
+
608
+ 153
609
+ 00:19:28,630 --> 00:19:29,950
610
+ 95%
611
+
612
+ 154
613
+ 00:19:37,630 --> 00:19:42,010
614
+ ู…ุนู†ุงุชู‡ ุงู„ significance level ู‡ูŠูƒูˆู† ูˆุงุญุฏ ู†ุงู‚ุต 0.
615
+
616
+ 155
617
+ 00:19:42,010 --> 00:19:48,990
618
+ ุชุณุนุฉ ุฎู…ุณุฉ ูŠุนู†ูŠ ุงู„ alpha ุงู„ C ุนู†ุฏูŠ 95% ููŠ
619
+
620
+ 156
621
+ 00:19:48,990 --> 00:19:55,430
622
+ ุงู„ู…ุฆุฉ ู…ุนู†ุงุชู‡ ุงู„ alpha ู‡ุชูƒูˆู† ูˆุงุญุฏ ู†ุงู‚ุต 0.9
623
+
624
+ 157
625
+ 00:19:55,430 --> 00:20:00,410
626
+ ุฎู…ุณุฉ ุงู„ู„ูŠ ู‡ูŠ 0.05 ู…ุนู†ุงุชู‡ ุงู„ alpha ุนู„ู‰
627
+
628
+ 158
629
+ 00:20:00,410 --> 00:20:00,830
630
+ ุงุซู†ูŠู†
631
+
632
+ 159
633
+ 00:20:04,150 --> 00:20:11,990
634
+ ุจุงู„ุณุงูˆูŠ 0.025
635
+
636
+ 160
637
+ 00:20:11,990 --> 00:20:25,950
638
+ ุงู„ู…ุนู†ู‰ ุฅู† ุฃู†ุง ุจุฏูŠ ุฃุญุณุจ T ุฃู„ูุง
639
+
640
+ 161
641
+ 00:20:25,950 --> 00:20:33,360
642
+ ุนู„ู‰ ุงุชู†ูŠู† ูˆ Nu ุงู„ู„ูŠ ู‡ูŠ T ุฃู„ูุง ุนู„ู‰ ุงุชู†ูŠู† ู‡ูŠ 0.
643
+
644
+ 162
645
+ 00:20:33,360 --> 00:20:37,880
646
+ 025 ูˆ Nu ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุดุŸ ุงุซู†ูŠู† ูˆ ุนุดุฑูŠู†ุŒ ู…ู†
647
+
648
+ 163
649
+ 00:20:37,880 --> 00:20:41,120
650
+ ูˆูŠู† ุจุญุณุจู‡ุง ู‡ุฐู‡ุŸ ู…ู† ุงู„ table ุฎู…ุณุฉ
651
+
652
+ 164
653
+ 00:21:23,650 --> 00:21:28,230
654
+ ุฃู†ุง ุนู†ุฏูŠ ุงู„ T 0.025 ูˆ Nu
655
+
656
+ 165
657
+ 00:21:28,230 --> 00:21:31,270
658
+ ุนู†ุฏูŠ ุงุซู†ูŠู† ูˆ ุนุดุฑูŠู† ุงู„ุนู…ูˆุฏ ุงู„ุซุงู„ุซ ุฃุทู„ุน ุชุฐูƒุฑู‡
659
+
660
+ 166
661
+ 00:21:31,270 --> 00:21:42,490
662
+ ุงู„ุนู…ูˆุฏ ุงู„ุซุงู„ุซ ู†ุฑูˆุญ ุนู„ู‰ ุงุซู†ูŠู† ูˆ ุนุดุฑูŠู† ู„ูŠู‡
663
+
664
+ 167
665
+ 00:21:42,490 --> 00:21:48,370
666
+ ู‡ุฐู‡ ุจุชุณุงูˆูŠ ุงุซู†ูŠู† ูุงุตู„ุฉ
667
+
668
+ 168
669
+ 00:21:53,850 --> 00:22:01,690
670
+ 074 plus or minus ูŠุนู†ูŠ ุฃู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ
671
+
672
+ 169
673
+ 00:22:01,690 --> 00:22:18,050
674
+ ุฅูŠุดุŸ
675
+
676
+ 170
677
+ 00:22:18,050 --> 00:22:22,510
678
+ ุฃู†ุง ุนู†ุฏูŠ T ุฃู„ูุง
679
+
680
+ 171
681
+ 00:22:25,340 --> 00:22:31,600
682
+ ุงู„ู€ T ุฃู„ูุง ุนู„ู‰ ุงุซู†ูŠู† ุทุจุนุง T ุฃู„ูุง ุนู„ู‰ ุงุซู†ูŠู† ูˆ
683
+
684
+ 172
685
+ 00:22:31,600 --> 00:22:34,680
686
+ Nu ุงู„ ุฃู„ูุง ุงู„ู„ูŠ ู‡ูŠ 0.025 ูˆ
687
+
688
+ 173
689
+ 00:22:34,680 --> 00:22:38,980
690
+ ุงู„ Nu ุงุซู†ูŠู† ูˆ ุนุดุฑูŠู† ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู…ุชู‡ุง ูƒู…ุŸ ุงุซู†ูŠู†
691
+
692
+ 174
693
+ 00:22:38,980 --> 00:22:44,200
694
+ ูุงุตู„ุฉ 074 ูˆ ุงู„ T experimental ุนู†ุฏูŠ
695
+
696
+ 175
697
+ 00:22:44,200 --> 00:22:47,240
698
+ ุทุจุนุง
699
+
700
+ 176
701
+ 00:22:47,240 --> 00:22:48,380
702
+ ููŠู‡ ุนู„ู‰ ุงู„ุฌู‡ุฉ ุงู„ุซุงู†ูŠุฉ ู‡ู†ุง
703
+
704
+ 177
705
+ 00:22:52,290 --> 00:22:59,870
706
+ ุงู„ู„ูŠ ู‡ูŠ ุณุงู„ุจ ุงุซู†ูŠู† ูุงุตู„ุฉ 074 ู‡ู†ุง
707
+
708
+ 178
709
+ 00:22:59,870 --> 00:23:04,550
710
+ ู†ุฑุฌุน
711
+
712
+ 179
713
+ 00:23:04,550 --> 00:23:11,550
714
+ ู„ุฌูˆุง ู‡ู†ุง reject
715
+
716
+ 180
717
+ 00:23:11,550 --> 00:23:21,970
718
+ ู‡ู†ุง do not reject HO ู‡ู†ุง reject
719
+
720
+ 181
721
+ 00:23:24,830 --> 00:23:36,370
722
+ ุงู„ู€ HO ูˆู‡ู†ุง ุจุฑุถู‡ reject ุงู„ HO ุงู„ HO ุฅูŠุด ู‡ูŠุŸ ุฅู† ู‡ูŠ
723
+
724
+ 182
725
+ 00:23:36,370 --> 00:23:43,250
726
+ XA ุจุงู„ุชุณุงูˆูŠ ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง ุจุงู„ level of confidence
727
+
728
+ 183
729
+ 00:23:43,250 --> 00:23:45,890
730
+ ุงู„ู„ูŠ ุฅุญู†ุง ุนุงู…ู„ูŠู†ู‡ ุฏุฑุฌุฉ ุงู„ู„ูŠ ุนุงู…ู„ูŠู†ู‡ุง ุฅู†ู‡ ุชู‚ุฑูŠุจุง
731
+
732
+ 184
733
+ 0
734
+
735
+ 223
736
+ 00:28:08,130 --> 00:28:10,970
737
+ ุงู„ูŠู…ูŠู† ููŠ ุงู„ูƒุชุงุจุฉ ุฃูˆ ููŠ ุงู„ุฃูƒู„ ุฃูˆ .. ูŠุนู†ูŠ ููŠ ู†ุงุณ
738
+
739
+ 224
740
+ 00:28:10,970 --> 00:28:18,710
741
+ ูŠู…ูŠู†ุŒ ูˆููŠ ู†ุงุณ ุดู…ุงู„ุŒ ุตุญุŸ ูุจูŠูƒูˆู† ุนู†ุฏูŠ ู…ุซู„ุงู‹ left hand
742
+
743
+ 225
744
+ 00:28:18,710 --> 00:28:22,490
745
+ ูˆ
746
+
747
+ 226
748
+ 00:28:22,490 --> 00:28:23,270
749
+ right hand
750
+
751
+ 227
752
+ 00:28:34,140 --> 00:28:39,760
753
+ ุฃุณู„ูุชู ู‡ู†ุงุŒ ุณู†ุญูƒูŠ ู‡ูŠ ุนุดุฑูŠู† ููŠ ุงู„ู…ุฆุฉ ู…ุซู„ุงู‹ุŒ ุฅุฐุง ุนุฏู‘ู„
754
+
755
+ 228
756
+ 00:28:39,760 --> 00:28:45,400
757
+ ุงู„ู‚ุฑุงุกุงุช ูƒุงู†ุช ู…ุฆุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ุจุงู‚ูŠุฉ ุฅูŠุด ุจุชูƒูˆู†ุŸ ุซู…ุงู†ูŠู†
758
+
759
+ 229
760
+ 00:28:45,400 --> 00:28:48,700
761
+ ู„ุฌู…ุงู„ูŠ
762
+
763
+ 230
764
+ 00:28:48,700 --> 00:28:54,200
765
+ ู…ุฆุฉุŒ ุฅูŠุด ุงู„ู€ degrees of freedom ุงู„ู„ูŠ ู‡ูŠุŸ
766
+
767
+ 231
768
+ 00:28:54,200 --> 00:28:57,280
769
+ ุฅูŠุด
770
+
771
+ 232
772
+ 00:28:57,280 --> 00:28:59,140
773
+ ุงู„ู€ degrees of freedomุŸ ุฃูƒุซุฑ degree of freedom
774
+
775
+ 233
776
+ 00:28:59,140 --> 00:29:05,280
777
+ ู„ู„ู…ุฌู„ุฉ ุงู„ู…ู†ุชุฌุฉ ุฏูŠุŸ ูˆุงุญุฏ ูˆู„ุง ุงุซู†ูŠู† ูˆู„ุง ุซู„ุงุซุฉ ูˆู„ุง
778
+
779
+ 234
780
+ 00:29:05,280 --> 00:29:09,840
781
+ ุฃุฑุจุนุฉ ูˆู„ุง ุฎู…ุณุฉุŒ ุฅูŠุด ูŠุนู†ูŠ degrees of freedomุŸ degrees
782
+
783
+ 235
784
+ 00:29:09,840 --> 00:29:14,440
785
+ of freedom ุฃู†ุง ุจุฃุนุจุฑ ุนู† number of independent
786
+
787
+ 236
788
+ 00:29:14,440 --> 00:29:19,300
789
+ variables needed to define some systemุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹
790
+
791
+ 237
792
+ 00:29:19,300 --> 00:29:22,660
793
+ ุนุดุงู†
794
+
795
+ 238
796
+ 00:29:22,660 --> 00:29:28,300
797
+ ุฃุชุญูƒู… ุจุฏุฑุฌุฉ... ุจุฏุฑุฌุฉ
798
+
799
+ 239
800
+ 00:29:28,300 --> 00:29:34,520
801
+ ุงู„ุญุฑุงุฑุฉ ููŠ ุดูŠุก ู…ุนูŠู‘ู†ุŒ ู…ู…ูƒู† ุฃุบูŠุฑ ุฃูƒุซุฑ ู…ู† variableุŒ ู…ู…ูƒู†
802
+
803
+ 240
804
+ 00:29:34,520 --> 00:29:38,120
805
+ ุฃุบูŠุฑ ูƒู…ูŠุฉ ุงู„ู€... ุงู„ู€... ุงู„ู‡ูˆุงุก ุงู„ุณุงุฎู† ุงู„ู„ูŠ ุจูŠุฎุด ู…ุซู„ุงู‹
806
+
807
+ 241
808
+ 00:29:38,120 --> 00:29:43,280
809
+ ู…ู…ูƒู† ุฃู„ุนุจ ููŠ ูƒู…ูŠุฉ ุงู„ู‡ูˆุงุก ุงู„ุณุงุฎู† ูˆุณุฑุนุฉ ุฏุฎูˆู„ู‡
810
+
811
+ 242
812
+ 00:29:43,280 --> 00:29:48,100
813
+ ุจุชุงุนุชู‡ุŒ ู„ูˆ... ู„ูˆ... ู„ูˆ ูƒุงู† ูู‚ุท ูƒู…ูŠุฉ ุงู„ู‡ูˆุงุก ุจุชุฏุฎู„ุŒ ู‡ูŠ
814
+
815
+ 243
816
+ 00:29:48,100 --> 00:29:50,260
817
+ ุงู„ู€ variable ุจุชุชุญูƒู… ููŠ ุงู„ุญุฑุงุฑุฉ ุจูŠูƒูˆู† ุงู„ู€
818
+
819
+ 244
820
+ 00:29:50,260 --> 00:29:55,120
821
+ degrees of freedom ุฅูŠุดุŸ ูˆุงุญุฏุŒ ู„ูˆ ูƒุงู† ุจุฏู„ ุจุงู„ุถุจุท ุฃู†
822
+
823
+ 245
824
+ 00:29:55,120 --> 00:29:59,440
825
+ ุฃุชุญูƒู… ููŠ ุง๏ฟฝ๏ฟฝุถุบุท ูƒู…ุงู†ุŒ ุจูŠุตูŠุฑ degrees of freedomุŒ ุฅูŠุดุŸ
826
+
827
+ 246
828
+ 00:29:59,440 --> 00:30:02,880
829
+ ุงุซู†ูŠู†ุŒ ู„ูƒู† ุฃู†ุง ู…ุง ุนู†ุฏูŠุดุŒ ู‡ู†ุง ุนู†ุฏูŠ ู‡ู†ุง ููŠ left
830
+
831
+ 247
832
+ 00:30:02,880 --> 00:30:08,620
833
+ hand ูˆ right hand ูˆุงุญุฏุŒ ู„ุฃู†ู‡ ุฅุฐุง ุนุฑูุช left handุŒ
834
+
835
+ 248
836
+ 00:30:08,620 --> 00:30:10,560
837
+ automatically ู‡ุนุฑู right handุŒ ูŠุนู†ูŠ ู…ุง ููŠุด... ู…ุง ุถุงูู„ูŠุด
838
+
839
+ 249
840
+ 00:30:10,560 --> 00:30:13,980
841
+ ู…ุนู„ูˆู…ุฉ ุฌุฏูŠุฏุฉุŒ ุงู„ู…ุนู„ูˆู…ุฉ ุจุชุชุบูŠุฑ ุนู†ุฏูŠ ุนุดุฑูŠู†ุŒ ุตุงุฑูˆุง
842
+
843
+ 250
844
+ 00:30:13,980 --> 00:30:18,440
845
+ ุซู„ุงุซูŠู†ุŒ ู‡ุฐู‡ ุณุจุนูŠู†ุŒ ุฎู„ุงุต ุฃู†ุง ุนุฑูุชุŒ ูู€ to define the
846
+
847
+ 251
848
+ 00:30:18,440 --> 00:30:23,840
849
+ system I need only one variableุŒ ูˆุงุญุฏุŒ one degrees
850
+
851
+ 252
852
+ 00:30:23,840 --> 00:30:24,400
853
+ of freedom
854
+
855
+ 253
856
+ 00:30:27,320 --> 00:30:33,040
857
+ ุฅุฐุง ุนู†ุฏูŠ ุฃู†ุง variableุŒ ุฃู†ุง variableุŒ ุฃู†ุง ุจู‚ูŠุณ ุฏุฑุฌุฉ
858
+
859
+ 254
860
+ 00:30:33,040 --> 00:30:40,220
861
+ ุญุฑุงุฑุฉ objectุŒ ุฃุฎุฐุช ุนุดุฑ ู‚ุฑุงุกุงุชุŒ ู‡ุงูŠ ุนู†ุฏูƒ ู‚ุฑุงุกุฉ ูˆุงุญุฏ
862
+
863
+ 255
864
+ 00:30:40,220 --> 00:30:51,120
865
+ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ู„ุญุฏ ุนุดุฑุฉ ู…ุซู„ุงู‹ุŒ ู‡ุฐุง ุทู„ุน ู…ุฆุฉุŒ ู…ุฆุฉุŒ ูˆุงุญุฏ
866
+
867
+ 256
868
+ 00:30:51,120 --> 00:30:59,340
869
+ ูˆุชุณุนูŠู†ุŒ ู…ุฆุฉ ูˆุซู„ุงุซุฉุŒ ูˆุงุญุฏุฉุŒ ูƒุฐุง... ูˆุงุถุญ degrees of
870
+
871
+ 257
872
+ 00:30:59,340 --> 00:31:05,080
873
+ freedom ู‡ู†ุง ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ุชู‚ุฑูŠุจุงู‹ุŒ ุตุญุŸ ู„ุฃู† ุงู„ู‚ุฑุงุกุงุช
874
+
875
+ 258
876
+ 00:31:05,080 --> 00:31:10,460
877
+ ู…ุฎุชู„ูุฉุŒ ูˆู‡ุฐู‡ ูŠุนู†ูŠ it is randomุŒ ุจุชุตูŠุฑ it is random
878
+
879
+ 259
880
+ 00:31:10,460 --> 00:31:16,440
881
+ ููƒู„ ู…ุง ุจูŠุฒูŠุฏ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุช ู„ู€ majority ู…ุนูŠู†ุฉุŒ ุจูŠุฒูŠุฏ
882
+
883
+ 260
884
+ 00:31:16,440 --> 00:31:23,060
885
+ degrees of freedomุŒ ุงู„ู€
886
+
887
+ 261
888
+ 00:31:23,060 --> 00:31:25,640
889
+ total area under the curve ููŠ ุงู„ู€ chi distribution
890
+
891
+ 262
892
+ 00:31:25,640 --> 00:31:32,270
893
+ ููŠ ุงู„ู€ chi distribution ุจูŠุณุงูˆูŠ ุฅูŠุดุŸ ูˆุงุญุฏุŒ ุงู„ู€ chi
894
+
895
+ 263
896
+ 00:31:32,270 --> 00:31:35,250
897
+ distribution ุฃุตู„ู‡ normal distributionุŒ normal
898
+
899
+ 264
900
+ 00:31:35,250 --> 00:31:40,850
901
+ distributionุŒ ุจุณ ุงู„ู„ูŠ ุณูˆุงู‡ ู‡ูˆ ุฑุจุนู‡ุŒ ุงู„ู„ูŠ ู‡ูˆ ูŠุนู†ูŠ ุฌุงุจ
902
+
903
+ 265
904
+ 00:31:40,850 --> 00:31:45,270
905
+ distributionุŒ ุฑุจุน ุงู„ู€ zุŒ ุตุงุฑุชุŒ ุนุดุงู† ู‡ูŠูƒ ุณู…ูˆู‡ุง chi
906
+
907
+ 266
908
+ 00:31:45,270 --> 00:31:52,450
909
+ squareุŒ ุงู†ุธุฑูˆุง
910
+
911
+ 267
912
+ 00:31:52,450 --> 00:31:56,630
913
+ ู‡ู†ุง degrees of freedom ุฎู…ุณุฉุŒ here degrees of
914
+
915
+ 268
916
+ 00:31:56,630 --> 00:32:00,560
917
+ freedom ุนุดุฑุฉุŒ ู‡ู†ุง degrees of freedom ุงุซู†ุง ุนุดุฑ... ูƒู„ ู…ุง
918
+
919
+ 269
920
+ 00:32:00,560 --> 00:32:03,860
921
+ ุฃุฒูŠุฏ degrees of freedomุŒ ุชู‚ุฑูŠุจุงู‹ ุจุชุฌู‡ ู†ุญูˆ ุงู„ู€
922
+
923
+ 270
924
+ 00:32:03,860 --> 00:32:07,120
925
+ symmetryุŒ ููƒู„ ู…ุง ุฃุฒูŠุฏ ุงู„ู€ degrees of freedomุŒ ูƒู„ ู…ุง
926
+
927
+ 271
928
+ 00:32:07,120 --> 00:32:10,600
929
+ ุฃุฒูŠุฏ ุงู„ู‚ุฑุงุกุงุชุŒ ูƒู„ ู…ุง ุจุชุฌู‡ ู†ุญูˆ ุฃู†ู‡ ูŠุตูŠุฑ ุงู„ุชูˆุฒูŠุน
930
+
931
+ 272
932
+ 00:32:10,600 --> 00:32:17,660
933
+ ุทุจูŠุนูŠุŒ ุฃู†ุง
934
+
935
+ 273
936
+ 00:32:17,660 --> 00:32:21,960
937
+ ุญุงุทุท ู„ูƒู… ุจูŠุฑุฉ ููŠุฏูŠูˆู‡ุงุช ูƒุชูŠุฑุฉ ุนู„ู‰ ุงู„ู€ chi square ูˆุงู„ู€
938
+
939
+ 274
940
+ 00:32:21,960 --> 00:32:27,780
941
+ normal probability plotุŒ ูุงุณู…ุนูˆู‡ู… ูƒูˆูŠุณุŒ ู…ู‡ู…ูŠู† ููŠู‡
942
+
943
+ 275
944
+ 00:32:27,780 --> 00:32:31,660
945
+ ู†ุฒู„ุช ููŠุฏูŠูˆู‡ุงุช ุนู† ุงู„ู€ quantile ูˆุงู„ู€ quartile ูˆุงู„ู€
946
+
947
+ 276
948
+ 00:32:31,660 --> 00:32:35,960
949
+ percentileุŒ ู‡ุฐู‡ ู…ุนู„ูˆู…ุงุช ู…ู‡ู…ุฉ ููŠ ุงู„ุฅุญุตุงุกุŒ quantile
950
+
951
+ 277
952
+ 00:32:35,960 --> 00:32:47,040
953
+ quartileุŒ percentileุŒ ูˆ decile table
954
+
955
+ 278
956
+ 00:32:47,040 --> 00:32:52,990
957
+ ุจูŠุนุทูŠู†ูŠ values of x of chi square for various
958
+
959
+ 279
960
+ 00:32:52,990 --> 00:32:57,210
961
+ values of alphaุŒ alpha ู‡ูŠ significance levelุŒ ูˆุงู„ู€
962
+
963
+ 280
964
+ 00:32:57,210 --> 00:33:04,430
965
+ nu ู‡ูŠ degrees of freedomุŒ ู‡ุฐุง
966
+
967
+ 281
968
+ 00:33:04,430 --> 00:33:11,350
969
+ ุดูƒู„ ุงู„ู€ curve ุจุชุงุน ุงู„ู€ chi-squareุŒ ุงู„ู€
970
+
971
+ 282
972
+ 00:33:11,350 --> 00:33:16,340
973
+ ุนู…ูˆุฏ ุงู„ุฃูˆู„ ุจูŠุนุทูŠู†ูŠ degrees of freedomุŒ ู‡ู†ุง ุจูŠุนุทูŠู†ูŠ
974
+
975
+ 283
976
+ 00:33:16,340 --> 00:33:23,480
977
+ ุงู„ู€ chi-square for some significance level
978
+
979
+ 284
980
+ 00:33:23,480 --> 00:33:33,920
981
+ ู‡ุฐุง ุงู„ุฌุฏูˆู„ ุจูŠุนุทูŠู†ูŠ ุงู„ู€ areaุŒ ู‡ุฐู‡... ู‡ุฐู‡
982
+
983
+ 285
984
+ 00:33:33,920 --> 00:33:40,520
985
+ alpha significance levelุŒ ู‡ู†ุดูˆู
986
+
987
+ 286
988
+ 00:33:40,520 --> 00:33:42,120
989
+ ูƒูŠู ู†ุณุชุฎุฏู…ู‡ ู…ู† ุฎู„ุงู„ ู…ุซุงู„
990
+
991
+ 287
992
+ 00:33:46,470 --> 00:33:50,370
993
+ ููŠ the chi-square goodness of fit statistic is
994
+
995
+ 288
996
+ 00:33:50,370 --> 00:33:57,350
997
+ defined as x chi-squareุŒ chi ุงู„ู„ูŠ ู‡ูˆ ุญุฑู ุฑูˆู…ุงู†ูŠ
998
+
999
+ 289
1000
+ 00:33:57,350 --> 00:34:01,350
1001
+ ู‡ุฐุง ู…ุด xุŒ ุนุดุงู† ุงุณู…ู‡ ููŠ ุงู„ุตูˆุฑุฉุŒ chi ุงู„ู„ูŠ ู‡ูˆ ุจูŠุฌูŠ ุฒูŠ
1002
+
1003
+ 290
1004
+ 00:34:01,350 --> 00:34:09,610
1005
+ ู‡ูŠูƒุŒ ู‡ุฐุง chiุŒ ุงู„ู€ x ู‡ุฐุง
1006
+
1007
+ 291
1008
+ 00:34:09,610 --> 00:34:17,660
1009
+ Roman letterุŒ chi-squareุŒ ุจูŠุณุงูˆูŠ ุงู„ู€ summation ู„ู„ู€ OI
1010
+
1011
+ 292
1012
+ 00:34:17,660 --> 00:34:24,120
1013
+ ู†ุงู‚ุต EIุŒ ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ู‰ EIุŒ ู…ู† I ูˆุงุญุฏ ู„ู€ KุŒ ุงู„ู€ OI
1014
+
1015
+ 293
1016
+ 00:34:24,120 --> 00:34:30,160
1017
+ ู‡ูŠ ุงู„ู€ observed frequencyุŒ ูˆุงู„ู€ EI ุงู„ู€ expected
1018
+
1019
+ 294
1020
+ 00:34:30,160 --> 00:34:35,820
1021
+ frequencyุŒ ูˆุงู„ู€ K ุงู„ู€ total number of variables being
1022
+
1023
+ 295
1024
+ 00:34:35,820 --> 00:34:40,400
1025
+ comparedุŒ ุงู„ู€ nu ู‡ูŠ ุงู„ู€ K ู†ุงู‚ุต ูˆุงุญุฏ degrees of
1026
+
1027
+ 296
1028
+ 00:34:40,400 --> 00:34:45,250
1029
+ freedomุŒ ุฅูŠุด ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ observed ูˆุงู„ู€ expectedุŸ
1030
+
1031
+ 297
1032
+ 00:34:45,250 --> 00:34:53,530
1033
+ ูŠุนู†ูŠ ู„ูˆ ุฌุจุช ุฃู†ุง ุญุฌุฑ ู†ุฑุฏ... ุงู„ู€... ุงู„ู€... ุงู„ู€ ู†ุฑุฏ ุงู„ู€
1034
+
1035
+ 298
1036
+ 00:34:53,530 --> 00:34:57,730
1037
+ expected ุฃู†ู‡ ุฃู†ุง ุนู†ุฏูŠ ููŠู‡ ุณุชุฉ ุฃุณุทุญ ู„ู„ู…ูƒุนุจุŒ ููŠ ุณุทุญ
1038
+
1039
+ 299
1040
+ 00:34:57,730 --> 00:35:04,070
1041
+ ูˆุงุญุฏุŒ ุณุทุญ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุงู„ูˆุงุญุฏ
1042
+
1043
+ 300
1044
+ 00:35:04,070 --> 00:35:12,320
1045
+ expected ุฃู†ู‘ู‡ ุชูƒูˆู† ุณุฏุณุŒ ุงู„ุขู† ู„ู…ุง ุฃู†ุง ุฃุฑู…ูŠ ู…ุซู„ุงู‹ ู…ุฆุฉ
1046
+
1047
+ 301
1048
+ 00:35:12,320 --> 00:35:17,560
1049
+ ุฑู…ูŠุฉุŒ ู‡ู„... ู‡ู„ ุฃู†ุง ู‡ุฃุถู…ู† ุฃู†ู‘ ุณุฏุณ ุงู„ู…ุฆุฉ ุฑู…ูŠุฉุŒ ุฃูˆ
1050
+
1051
+ 302
1052
+ 00:35:17,560 --> 00:35:22,580
1053
+ ุณุชูˆู† ุฑู…ูŠุฉุŒ ุฅู†ู‘ ุนุดุฑ ุฑู…ูŠุงุช ู‡ุชุนุทูŠู†ูŠ ูˆุงุญุฏุŒ ูˆุนุดุฑ
1054
+
1055
+ 303
1056
+ 00:35:22,580 --> 00:35:26,900
1057
+ ุฑู…ูŠุงุช ู‡ุชุนุทูŠู†ูŠ ุงุซู†ูŠู†ุŒ ู‡ุฐุง ู…ุด... ู‡ุชุนุทูŠู†ูŠ observedุŒ ุงู„ู€
1058
+
1059
+ 304
1060
+ 00:35:26,900 --> 00:35:30,980
1061
+ observed ุบูŠุฑ ุงู„ู€ expectedุŒ ุงู„ู€ observed ุบูŠุฑ ุฅูŠุด ุงู„ู€
1062
+
1063
+ 305
1064
+ 00:35:30,980 --> 00:35:38,330
1065
+ expectedุŒ ู„ู…ุง ุฃู†ุง ุจุฑู…ูŠ ุนุดุฑุฉุŒ ุฃูˆ ู…ุงู„ูƒุชุทู„ุน ูŠุง ุนุดุฑุฉ ูŠุง
1066
+
1067
+ 306
1068
+ 00:35:38,330 --> 00:35:41,190
1069
+ ู…ู„ูƒุฉุŒ ูŠุนู†ูŠ ู…ู† ู…ุฆุฉ ู…ุฑุฉ ู…ุง ู‡ูˆ ู‡ุชุทู„ุน ุนู†ุฏูŠ ุงู„ู€ expected
1070
+
1071
+ 307
1072
+ 00:35:41,190 --> 00:35:48,330
1073
+ ุฎู…ุณูŠู† ุฎู…ุณูŠู†ุŒ ู„ูƒู† observed ู…ุฎุชู„ูุŒ
1074
+
1075
+ 308
1076
+ 00:35:48,330 --> 00:35:54,310
1077
+ ูˆุญุชู‰ ู…ุฎุชู„ู ูƒู…ุงู† ุจุงุฎุชู„ุงู ุงู„ุดุฎุตุŒ ูƒุฃู…ุฑ ู…ุฆุฉุŒ ุฅุญู†ุง ูƒู†ุง
1078
+
1079
+ 309
1080
+ 00:35:54,310 --> 00:35:59,550
1081
+ ุฅุญู†ุง ุตุบุงุฑ ู†ู„ุนุจ ู†ุฑุฏุŒ ูƒู†ุช ู…ุซู„ุงู‹ ุฃู†ุง ุนู† ู†ูุณูŠ ุดุฎุตูŠุงู‹
1082
+
1083
+ 310
1084
+ 00:35:59,550 --> 00:36:05,850
1085
+ ุฃุชุญูƒู‘ู…ู‡ุŒ ู…ุด ู‡ุทู„ุนู‡ุงุŒ ุนุดุฑุฉ ูˆู…ู„ูƒุงุชุนุงุฑู ุงู„ู„ูŠ ุจูŠุงุซุฑ ููŠุง
1086
+
1087
+ 311
1088
+ 00:36:05,850 --> 00:36:08,630
1089
+ ุฃุดูˆู ูƒูŠู ุจูŠููƒู‘ุฑุŒ ู†ูุณูŠุชู‡ุŒ ูˆุฃุชูˆู‚ุน ุฅูŠุด ุฃุญูƒูŠู‡ ูˆุฃุทู„ู‘ุนู‡
1090
+
1091
+ 312
1092
+ 00:36:08,630 --> 00:36:12,610
1093
+ ู„ู‡ ู‡ูˆ ููŠ ู…ุฎู‡ ุนุดุฑุฉุŒ ุฃุทู„ู‘ุน ู„ู‡ ู…ู„ูƒุฉ... ู…ู„ูƒุฉ... ู…ู„ูƒุฉ
1094
+
1095
+ 313
1096
+ 00:36:12,610 --> 00:36:15,050
1097
+ ... ู…ู„ูƒุฉ... ุฎู…ุณุฉ ู…ุฑุงุชุŒ ูˆุจุนุฏูŠู† ุจูŠุตูŠุฑ ูŠุบูŠู‘ุฑุŒ ูˆุจุนุฏูŠู†
1098
+
1099
+ 314
1100
+ 00:36:15,050 --> 00:36:21,290
1101
+ ุจูŠุตูŠุฑ ุฃู†ุง randomly... ุขู‡ุŒ ูููŠ
1102
+
1103
+ 315
1104
+ 00:36:21,290 --> 00:36:26,670
1105
+ ุดูŠุก observedุŒ ูˆููŠ ุดูŠุก expectedุŒ ูŠุนู†ูŠ ูู‡ู…ุชูˆุง ุฅูŠุด
1106
+
1107
+ 316
1108
+ 00:36:26,670 --> 00:36:30,550
1109
+ ุงู„ูุฑู‚ ุจูŠู† ุงู„ู€ observed ูˆุงู„ู€ expectedุŒ ุงู„ู„ูŠ... ุงู„ู„ูŠ
1110
+
1111
+ 317
1112
+ 00:36:30,550 --> 00:36:35,300
1113
+ ู‡ูˆ ุงู„ู€ chi-square StatisticsุŒ X square summation
1114
+
1115
+ 318
1116
+ 00:36:35,300 --> 00:36:42,800
1117
+ ู„ู„ู€ observed ู†ุงู‚ุต expected ุนู„ู‰ expectedุŒ ู…ู† I ูˆุงุญุฏ
1118
+
1119
+ 319
1120
+ 00:36:42,800 --> 00:36:51,520
1121
+ ู„ู€ KุŒ Since
1122
+
1123
+ 320
1124
+ 00:36:51,520 --> 00:36:55,460
1125
+ the Chi-square statistic X square is positiveุŒ
1126
+
1127
+ 321
1128
+ 00:36:56,660 --> 00:37:00,680
1129
+ right tail test is applied for hypothesis testing
1130
+
1131
+ 322
1132
+ 00:37:00,680 --> 00:37:06,840
1133
+ ู„ุฃู† ุงู„ู€ z statistic ุจูŠุฌูŠ ุนู„ู‰ ุฌู‡ุชูŠู†ุŒ ุณูŠู…ุชุฑูŠูƒ ุญูˆู„
1134
+
1135
+ 323
1136
+ 00:37:06,840 --> 00:37:12,160
1137
+ ุงู„ุฒูŠุฑูˆุŒ ููŠ negativeุŒ ู…ูˆุฌุจุŒ ุฃู†ุง ุจุฑุจุน ู‡ู†ุงุŒ ุจุฑุจุนุŒ ู…ุนู†ุงุชู‡ ุฅูŠุด
1138
+
1139
+ 324
1140
+ 00:37:12,160 --> 00:37:19,680
1141
+ ุจูŠูƒูˆู† ู…ูˆุฌุจุŒ ุฏู‡ ูŠุนู†ูŠ ู…ุนู†ุงุชู‡ ุฃู†ุง ุนู†ุฏูŠ ู‡ู†ุง ู‡ุฐุง
1142
+
1143
+ 325
1144
+ 00:37:19,680 --> 00:37:25,780
1145
+ ู‡ูˆ do not reject ุงู„ู€ null hypothesisุŒ ูˆู‡ู†ุง reject ุงู„ู€
1146
+
1147
+ 326
1148
+ 00:37:25,780 --> 00:37:30,820
1149
+ null hypothesisุŒ ูุงู†ุชู… ุจุณู…ู‘ูˆู‡ right-tailed
1150
+
1151
+ 327
1152
+ 00:37:30,820 --> 00:37:39,260
1153
+ hypothesis when
1154
+
1155
+ 328
1156
+ 00:37:39,260 --> 00:37:41,940
1157
+ the observed frequencies approaches the expected
1158
+
1159
+ 329
1160
+ 00:37:41,940 --> 00:37:46,420
1161
+ frequenciesุŒ ุจูŠุตูŠุฑ ู‡ุฐุง ุจูŠู‚ุฑุจ ู…ู† ุฅูŠุดุŸ ู…ู† ุงู„ู€ zero
1162
+
1163
+ 330
1164
+ 00:37:46,420 --> 00:37:50,980
1165
+ ู„ู…ุง ูŠูƒูˆู† ุงู„ู€ observed ู‚ุฑูŠุจุฉ ูƒุชูŠุฑ ู…ู† ุงู„ู€ statistic
1166
+
1167
+ 331
1168
+ 00:37:50,980 --> 00:37:52,820
1169
+ ู‡ุฐุง ู‡ูŠุณูุฑ
1170
+
1171
+ 332
1172
+ 00:37:56,470 --> 00:38:01,510
1173
+ ุฎู„ูŠู†ูŠ ุฃุดูˆู ู…ุซุงู„... ุฎู„ูŠู†ูŠ ุฃุดูˆู ู…ุซุงู„
1174
+
1175
+ 333
1176
+ 00:38:01,510 --> 00:38:15,510
1177
+ ุฃู†ุง
1178
+
1179
+ 334
1180
+ 00:38:15,510 --> 00:38:21,680
1181
+ ุนู†ุฏูŠ ุญุฌุฑูŠู† ู†ุฑุฏุŒ ุจุฑู…ูŠ ุฃูˆู„ ุญุฌุฑ ูˆุจุฑู…ูŠ ุงู„ุญุฌุฑ ุงู„ุซุงู†ูŠุŒ
1182
+
1183
+ 335
1184
+ 00:38:21,680 --> 00:38:26,240
1185
+ ุจุฃุฎุฐ ู…ุฌู…ูˆุน ุงู„ุฑู‚ู…ูŠู†ุŒ ุงุญุชู…ุงู„ ูŠุทู„ุน ููŠ ุงู„ู€... ูŠุนู†ูŠ ุฃูˆู„
1186
+
1187
+ 336
1188
+ 00:38:26,240 --> 00:38:31,620
1189
+ ูˆุงุญุฏ ู…ู…ูƒู† ูŠุทู„ุน ุฅูŠุดุŸ ูˆุงุญุฏุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠุทู„ุน ูˆุงุญุฏ
1190
+
1191
+ 337
1192
+ 00:38:31,620 --> 00:38:37,860
1193
+ ุงู„ุญุฌุฑ ุงู„ุฃูˆู„ุงู†ูŠุŒ ุงู„ูˆุงุญุฏ ููŠ ุณุชุฉ ุงุญุชู…ุงู„ุงุช ู‡ูŠุทู„ุน ู…ุนู‡ุŒ ุตุญุŸ
1194
+
1195
+ 338
1196
+ 00:38:37,860 --> 00:38:44,240
1197
+ ู‡ุงูŠ ูˆุงุญุฏ ูˆุงุญุฏุŒ ู…ู…ูƒู† ูŠุทู„ุน ุจุงู„ุงุซู†ูŠู† ุจุฑุถู‡ ูŠุทู„ุน ู…ุนู‡ ุณุชุฉ
1198
+
1199
+ 339
1200
+ 00:38:44,240 --> 00:38:46,260
1201
+ ุงุญุชู…ุงู„ุงุชุŒ ุฃู†ุง ุจุญูƒูŠ ุนู† ุงู„ุญุฌุฑ ุงู„ุฃูˆู„ุงู†ูŠ
1202
+
1203
+ 340
1204
+ 00:38:58,690 --> 00:39:10,950
1205
+ ุนู†ุฏูŠ ู‡ู†ุง ุฃุฑุจุนุฉ ุฃูˆ
1206
+
1207
+ 341
1208
+ 00:39:10,950 --> 00:39:18,690
1209
+ ู…ุน
1210
+
1211
+ 342
1212
+ 00:39:18,690 --> 00:39:22,850
1213
+ ุงู„ูˆุงุญุฏุŒ ู…ู…ูƒู† ูŠุทู„ุน ู…ุนุง๏ฟฝ๏ฟฝุง ู…ู† ุงู„ู€ dice ุงู„ู„ูŠ ู‡ูˆ ุงู„ุซุงู†ูŠ
1214
+
1215
+ 343
1216
+ 00:39:22,850 --> 00:39:28,190
1217
+ diceุŒ ูˆ ู‡ุฐุง dice oneุŒ dice
1218
+
1219
+ 344
1220
+ 00:39:29,620 --> 00:39:37,780
1221
+ one and dice twoุŒ and dice twoุŒ ู…ุน ุงู„ูˆุงุญุฏ ู…ู…ูƒู† ุชู„ุงู‚ูŠ ุฅูŠุดุŸ
1222
+
1223
+ 345
1224
+ 00:39:37,780 --> 00:39:44,740
1225
+ ูˆุงุญุฏุŒ ูˆู…ู…ูƒู† ุงุซู†ูŠู†ุŒ ูˆู…ู…ูƒู† ุซู„ุงุซุฉุŒ ูˆู…ู…ูƒู† ุฃุฑุจุนุฉุŒ ูˆู…ู…ูƒู†
1226
+
1227
+ 346
1228
+ 00:39:44,740 --> 00:39:51,020
1229
+ ุฎู…ุณุฉุŒ ูˆู…ู…ูƒู† ุณุชุฉุŒ ู†ูุณ ุงู„ุดูŠุก ู…ุน ุงู„ุงุซู†ูŠู†ุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ
1230
+
1231
+ 347
1232
+ 00:39:51,020 --> 00:39:59,040
1233
+ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ูˆู‡ู†ุง ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ
1234
+
1235
+ 348
1236
+ 00:39:59,040 --> 00:40:07,380
1237
+ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ู‡ู†ุง ู†ูุณ ุงู„ุดูŠุกุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
1238
+
1239
+ 349
1240
+ 00:40:07,380 --> 00:40:20,000
1241
+ ุณุชุฉุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ู†ุฌู…ุน
1242
+
1243
+ 350
1244
+ 00:40:20,000 --> 00:40:24,320
1245
+ ุงุซู†ูŠู†ุŒ
1246
+
1247
+ 351
1248
+ 00:40:24,320 --> 00:40:36,860
1249
+ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ู‡ู†ุง ุซู„ุงุซุฉ
1250
+
1251
+ 352
1252
+ 00:40:36,860 --> 00:40:40,360
1253
+ ุซู„ุงุซุฉุŒ
1254
+
1255
+ 353
1256
+ 00:40:40,360 --> 00:40:56,640
1257
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ
1258
+
1259
+ 354
1260
+ 00:40:56,640 --> 00:41:08,260
1261
+ ุชุณุนุฉุŒ ุงู„ู…ุฌู…ูˆุน ู‡ู†ุง ู‡ูŠูƒูˆู† ุนู†ุฏูŠ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ
1262
+
1263
+ 355
1264
+ 00:41:08,260 --> 00:41:14,420
1265
+ ุชุณุนุฉุŒ ุนุดุฑุŒ ุณุชุฉ
1266
+
1267
+ 356
1268
+ 00:41:14,420 --> 00:41:15,480
1269
+ ุณุจุนุฉ
1270
+
1271
+ 357
1272
+ 00:41:17,620 --> 00:41:30,860
1273
+ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุฃุญุฏ ุนุดุฑุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุฃุญุฏ ุนุดุฑุŒ
1274
+
1275
+ 358
1276
+ 00:41:30,860 --> 00:41:35,880
1277
+ ุงุซู†ุง ุนุดุฑุŒ ู‡ุฐุง
1278
+
1279
+ 359
1280
+ 00:41:35,880 --> 00:41:42,500
1281
+ ูƒู„ู‡ expectedุŒ ู‡ุฐุง ู…ุด observedุŒ ูƒู„ู‡ expectedุŒ ู…ุนู†ุงู‡
1282
+
1283
+ 360
1284
+ 00:41:42,500 --> 00:41:48,380
1285
+ ุฅุฐุง ุนู…ู„ุช ุงู„ู€ sumsุŒ ุงู„ู€ sums ุฃู†ุง ุนู†ุฏูŠ ุงู„ู€ expected ุงุซู†ูŠู†ุŒ
1286
+
1287
+ 361
1288
+ 00:41:48,380 --> 00:41:51,640
1289
+ ุงู„ู…ุฌู…ูˆุน
1290
+
1291
+ 362
1292
+ 00:41:51,640 --> 00:42:00,280
1293
+ ุงุซู†ูŠู†ุŒ ู‡ูŠ ุนู†ุฏูŠ ุจุณ ูˆุงุญุฏุŒ ุงู„ู€
1294
+
1295
+ 363
1296
+ 00:42:00,280 --> 00:42:07,940
1297
+ sum ุงุซู†ูŠู†ุŒ ูƒุฃู†ู‡
1298
+
1299
+ 364
1300
+ 00:42:07,940 --> 00:42:08,580
1301
+ ุฒุฑุŒ ุซู…ุงู†ูŠุฉุŒ
1302
+
1303
+ 365
1304
+ 00:42:11,970 --> 00:42:15,530
1305
+ ุขู‡ุŒ ุงู„ู€ observedุŒ ุฃูŠูˆุฉุŒ ุฃูŠูˆุฉุŒ ู‡ุฐุง ุงู„ู€ face upุŒ ุงู„ู€ face up
1306
+
1307
+ 366
1308
+ 00:42:15,530 --> 00:42:18,830
1309
+ ุฃู†ุง ุจุญูƒูŠ ุงู„ู€ expected ุชุจุนู‡ุงุŒ ุงู„ู€ expectedุŒ ู†ุญูƒูŠ ู‡ู†ุง
1310
+
1311
+ 367
1312
+ 00:42:18,830 --> 00:42:31,250
1313
+ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ sum ุงุซู†ูŠู†ุŒ ุงู„ู€ expected ุจุชูƒูˆู†
1314
+
1315
+ 368
1316
+ 00:42:31,250 --> 00:42:40,290
1317
+ ุงู„ู€ sum ุงุซู†ูŠู†ุŒ expected ูƒู… ูˆุงุญุฏุŸ ุซู„ุงุซุฉุŒ ู‡ุงูŠ ุซู„ุงุซุฉุŒ ู‡ุงูŠ
1318
+
1319
+ 369
1320
+ 00:42:40,290 --> 00:42:40,770
1321
+ ุซู„ุงุซุฉุŒ
1322
+
1323
+ 370
1324
+ 00:42:43,820 --> 00:42:52,480
1325
+ ุงุซู†ูŠู†ุŒ ุฃุฑุจุนุฉุŒ ุซู„ุงุซุฉุŒ
1326
+
1327
+ 371
1328
+ 00:42:52,480 --> 00:43:04,340
1329
+ ุฎู…ุณุฉุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุณุชุฉุŒ
1330
+
1331
+ 372
1332
+ 00:43:04,340 --> 00:43:13,040
1333
+ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
1334
+
1335
+ 373
1336
+ 00:43:15,100 --> 00:43:26,920
1337
+ ุงู„ุณุจุนุฉุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
1338
+
1339
+ 374
1340
+ 00:43:26,920 --> 00:43:32,420
1341
+ ูƒู…ุงู†
1342
+
1343
+ 375
1344
+ 00:43:32,420 --> 00:43:41,140
1345
+ ู…ุฑุฉุŒ ู‡ุงูŠ ุงู„ุณุจุนุฉ ูˆุงุญุฏุŒ ู‡ุงูŠ ุงู„ุซุงู†ูŠุฉ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ
1346
+
1347
+ 376
1348
+ 00:43:41,140 --> 00:43:51,360
1349
+ ุณุชุฉุŒ ุงู„ุซู…ุงู†ูŠุฉ ู‡ูŠ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ
1350
+
1351
+ 377
1352
+ 00:43:51,360 --> 00:44:03,840
1353
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงู„ุชุณุนุฉุŒ ูˆุงุญุฏุŒ ู‡ู†ุฑุฌุน ู„ุฌูˆุฉุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ
1354
+
1355
+ 378
1356
+ 00:44:03,840 --> 00:44:15,740
1357
+ ุฃุฑุจุนุฉุŒ ุงู„ุนุดุฑุฉ ู‡ุชูƒูˆู† ู‡ูŠ ูˆุงุญุฏุŒ ู‡ูŠ ุงุซู†ูŠู†ุŒ ู‡ูŠ ุซู„ุงุซุฉุŒ ุงู„ู€ 11
1358
+
1359
+ 379
1360
+ 00:44:15,740 --> 00:44:27,300
1361
+ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุงู„ู€ 12ุŒ ูˆุงุญุฏ... ู…ุง ุฃู†ุง ู…ุชุฃูƒุฏุดุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ
1362
+
1363
+ 380
1364
+ 00:44:27,300 --> 00:44:32,500
1365
+ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุจู‚ู‰ ุจู†ุฒู„ ุฎู…ุณุฉุŒ ุฃุฑุจุนุฉุŒ
1366
+
1367
+ 381
1368
+ 00:44:32,500 --> 00:44:41,560
1369
+ ุซู„ุงุซุฉุŒ ุงุซู†ูŠู†ุŒ ูˆุงุญุฏุŒ ู„ุฃู† after 360 such tossesุŒ ู„ุฃ ู„ูˆ
1370
+
1371
+ 382
1372
+ 00:44:41,560 --> 00:44:49,060
1373
+ ุฌู…ุนู†ุง ู‡ุฏูˆู„ ูƒู… ุจูŠุทู„ุนุŸ 36ุŒ ูŠุนู†ูŠ
1374
+
1375
+ 383
1376
+ 00:44:49,060 --> 00:44:53,520
1377
+ ุงุญุชู…ุงู„ ูŠูƒูˆู† ู…ุฌู…ูˆุน ุงุซู†ูŠู†ุŒ expected ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉ
1378
+
1379
+ 384
1380
+ 00:44:53,520 --> 00:44:59,980
1381
+ ูˆุซู„ุงุซูŠู†ุŒ ูˆุงุญุฏ ุนู„ู‰ ุณุชุฉ ุฃูˆ ุซู„ุงุซูŠู†ุŒ ุทูŠุจ
1382
+
1383
+ 385
1384
+ 00:44:59,980 --> 00:45:02,620
1385
+ the results shown in the following table were
1386
+
1387
+ 386
1388
+ 00:45:02,620 --> 00:45:06,340
1389
+ obtainedุŒ determined if the dice are true at ninety
1390
+
1391
+ 387
1392
+ 00:45:06,340 --> 00:45:12,530
1393
+ nine percent confidence levelุŒ ู†ุดูˆู ู…ุฏู‰ ู…ุทุงุจู‚ุฉ ุงู„ู€
1394
+
1395
+ 388
1396
+ 00:45:12,530 --> 00:45:18,970
1397
+ observed ู…ุน ุงู„ู€ expectedุŒ ู„ุฏุฑุฌุฉ ุฏู‚ุฉ ุชุณุนุฉ ูˆุชุณุนูŠู† ููŠ
1398
+
1399
+ 389
1400
+ 00:45:18,970 --> 00:45:24,130
1401
+ ุงู„ู…ุฆุฉุŒ ุทุจุนุงู‹
1402
+
1403
+ 390
1404
+ 00:45:24,130 --> 00:45:29,910
1405
+ ุฃู†ุง ุนุงู…ู„ ุงู„ู€ face up sum ุฒูŠ ู…ุง ุจุฏูŠุŒ ู…ู† ุงุซู†ูŠู†ุŒ ุงุซู†ูŠู†ุŒ
1406
+
1407
+ 391
1408
+ 00:45:29,910 --> 00:45:34,550
1409
+ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุงู„ู€ sumุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ
1410
+
1411
+ 392
1412
+ 00:45:34,550 --> 00:45:40,560
1413
+ ุฃุญุฏ ุนุดุฑุŒ ุงุซู†ุง ุนุดุฑุŒ ุงู„ู€ expected frequency ุฃู†ุง ุนู†ุฏูŠ
1414
+
1415
+ 393
1416
+ 00:45:40,560 --> 00:45:48,680
1417
+ ุซู„ุงุซู…ุฆุฉ ูˆุณุชูŠู† ู‚ุฑุงุกุฉ ุจุงู„ุถุจุทุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ู‡ุชูƒูˆู† ูˆุงุญุฏ
1418
+
1419
+ 394
1420
+ 00:45:48,680 --> 00:45:54,820
1421
+ ุนู„ู‰ ุงู„ุณุชุฉุŒ ูˆุซู„ุงุซูŠู†ุŒ ูุนุดุฑุฉุŒ ูŠุนู†ูŠ ุฃู†ุง ูƒู…ุŸ ุนุดุฑุฉุŒ ูŠุนู†ูŠ ุฃู†ุง
1422
+
1423
+ 395
1424
+ 00:45:54,820 --> 00:45:57,540
1425
+ ู‡ุฃุณูŠุจ ุจุนุฏ ู‡ุฐูŠูƒุŒ ู‡ุฃุญุท ุตูุฑ ูƒู„... ูŠุนู†ูŠ ุงู„ู€ expected
1426
+
1427
+ 396
1428
+ 00:45:57,540 --> 00:46:01,400
1429
+ frequency ู‡ุชูƒูˆู† ู…ู† ุซู„ุงุซูŠู†ุŒ ูˆุณุชูŠู†ุŒ ุนุดุฑุŒ ุนุดุฑูŠู†ุŒ ุซู„ุงุซูŠู†ุŒ
1430
+
1431
+ 397
1432
+ 00:46:01,400 --> 00:46:04,460
1433
+ ุฃุฑุจุนูŠู†ุŒ ุฎู…ุณูŠู†ุŒ ุณุชูŠู†ุŒ ุจุนุฏูŠู† ูŠู†ุฒู„ ุฎู…ุณูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุซู„ุงุซูŠู†ุŒ
1434
+
1435
+ 398
1436
+ 00:46:04,460 --> 00:46:10,240
1437
+ ุนุดุฑูŠู†ุŒ ุนุดุฑุŒ ู…ุฌู…ูˆุน ุงู„ู‚ุฑุงุกุงุช ุซู„ุงุซู…ุฆุฉ ูˆุณุชูŠู†ุŒ ู„ูƒู† ุงู„ู€
1438
+
1439
+ 399
1440
+ 00:46:10,240 --> 00:46:15,740
1441
+ observed frequency ุงู„ู„ูŠ ุนู„ู‰ ุฃุฑุถ ุงู„ูˆุงู‚ุนุŒ ุงู„ู€ sum ุทู„ุนุช
1442
+
1443
+ 400
1444
+ 00:46:
1445
+
1446
+ 445
1447
+ 00:51:51,080 --> 00:51:55,100
1448
+ ุงู„ุขู† ุงู„
1449
+
1450
+ 446
1451
+ 00:51:55,100 --> 00:52:07,540
1452
+ chi-square ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ observed ู†ุงู‚ุต ุงู„ู€ expected ููŠ
1453
+
1454
+ 447
1455
+ 00:52:07,540 --> 00:52:11,360
1456
+ ุฅุดูŠ ุบู„ุท ููŠ ุงู„ุฃุฑู‚ุงู…ุŒ ุทูŠุจ ููŠ ุฅุดูŠ ุบู„ุท
1457
+
1458
+ 448
1459
+ 00:52:14,580 --> 00:52:20,160
1460
+ ุทูŠุจุŒ ุนู„ู‰ ุฃูŠ ุญุงู„ุŒ ุงู„ู…ุฑุฉ ุงู„ุฌุงูŠุฉ ุจุดูˆู ุฅูŠุด ุงู„ุฎุทุฃ ูˆุจุฑุฌุน ู„ูƒู…
1461
+
1462
+ 449
1463
+ 00:52:20,160 --> 00:52:25,060
1464
+ ููŠู‡ ุฅู† ุดุงุก ุงู„ู„ู‡ุŒ ู„ุฃ ู„ุฃุŒ ููŠ ุดูŠุก ุซุงู†ูŠ ุฎู„ูŠู†ุง ู†ูุญุต ูˆู†ุดูˆู
1465
+
1466
+ 450
1467
+ 00:52:25,060 --> 00:52:30,680
1468
+ ุงุญู†ุง ู†ูƒูˆู† ู‡ูŠูƒ ุฎู„ุตู†ุง ุงู„ู…ุญุงุถุฑุฉุŒ ุงู„ุณูˆุฑุฉุŒ ุชุญุฏุฏ ุงู„ู…ุฑุฉ
1469
+
1470
+ 451
1471
+ 00:52:30,680 --> 00:52:31,560
1472
+ ุงู„ุฌุงูŠุฉ ุจู†ูƒู…ู„
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1
+
2
+ 1
3
+ 00:00:05,250 --> 00:00:08,130
4
+ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆ
5
+
6
+ 2
7
+ 00:00:08,130 --> 00:00:14,570
8
+ ุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุณุชูƒู…ู„ chapter three ุงู„ู„ูŠ ู‡ูˆ ุชู‚ูŠูŠู… ูˆ
9
+
10
+ 3
11
+ 00:00:14,570 --> 00:00:23,230
12
+ ุนุฑุถ ุงู„ุจูŠุงู†ุงุช ุงู„ุชุฌุฑูŠุจูŠุฉ ุจุณ ูŠุนู†ูŠ ู…ุง ู†ุจุฏุฃ ููŠ ุงู„ู…ุญุงุถุฑุฉ
13
+
14
+ 4
15
+ 00:00:23,230 --> 00:00:30,720
16
+ ู‡ู†ุญูƒูŠ ู„ูƒู… ุนู† ุงู„ุชุฌุฑุจุฉ ุงู„ุซุงู„ุซุฉ ุงู„ู„ูŠ ู‡ุชุนู…ู„ูˆู‡ุงุŒ ุงู„ุชุฌุฑุจุฉ
17
+
18
+ 5
19
+ 00:00:30,720 --> 00:00:33,920
20
+ ุงู„ุซุงู„ุซุฉ ู‡ุชุนู…ู„ูˆุง calibration ุฃูˆ ู†ุณู…ูŠู‡ุง calibration
21
+
22
+ 6
23
+ 00:00:33,920 --> 00:00:39,660
24
+ ุฃูˆ characterization ู„ู„ู€ dial gaugeุŒ dial gauge ุชุนุฑููˆุง
25
+
26
+ 7
27
+ 00:00:39,660 --> 00:00:47,800
28
+ ุงู„ู€ dial gauge ูŠุนู†ูŠ ุงู„ู„ูŠ ู‡ูŠ experiment number three
29
+
30
+ 8
31
+ 00:00:47,800 --> 00:00:54,140
32
+ ู‡ูŠ calibration of
33
+
34
+ 9
35
+ 00:00:54,140 --> 00:00:55,000
36
+ a dial gauge
37
+
38
+ 10
39
+ 00:01:03,430 --> 00:01:08,590
40
+ ุงู„ู€ range ุจุชุงุนู‡ ูƒุงู…ุŸ range ุงู„ู‚ูŠุงุณ ุฅูŠุด ุฃู‚ู„ ู‚ูŠุงุณ
41
+
42
+ 11
43
+ 00:01:08,590 --> 00:01:12,810
44
+ ุจุชุงุนู‡ุŒ ูˆุฃูƒุจุฑ ู‚ูŠุงุณุŸ ุจุบุถ ุงู„ู†ุธุฑ ูŠุนู†ูŠ ุฃุญูƒูŠ ุงู„ู€ range..
45
+
46
+ 12
47
+ 00:01:12,810 --> 00:01:22,230
48
+ range ู‡ู†ุง ู…ุซู„ุงู‹ ู„ูˆ ุญูƒูŠุช ู…ู† ุตูุฑ ู„ู€ 150 ู…ู„ูŠ
49
+
50
+ 13
51
+ 00:01:22,230 --> 00:01:31,270
52
+ ู…ุชุฑุŒ ุงู„ู€ resolution ุจุชุงุนู‡ ูƒุงู…ุŸ ูƒุงู…ุŸ
53
+
54
+ 14
55
+ 00:01:37,770 --> 00:01:46,430
56
+ ู…ุซู„ุงู‹ ู‡ูุฑุถ ุฃู†ู‡ ุฒูŠ ูƒุฏู‡ ู‡ูŠูƒูˆู†
57
+
58
+ 15
59
+ 00:01:46,430 --> 00:01:53,910
60
+ ููŠ ุนู†ุฏูŠ ุงู„ู€ observedุŒ observed ุฃูˆ ุฏู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
61
+
62
+ 16
63
+ 00:01:53,910 --> 00:01:54,710
64
+ true measurement
65
+
66
+ 17
67
+ 00:02:12,740 --> 00:02:19,160
68
+ ูˆููŠ ุนู†ุฏูŠ ุงู„ู€ observed measurement
69
+
70
+ 18
71
+ 00:02:19,160 --> 00:02:35,160
72
+ ู‡ุจุฏุฃ
73
+
74
+ 19
75
+ 00:02:35,160 --> 00:02:38,120
76
+ ู…ู† ุตูุฑุŒ ู…ู† ุตูุฑ
77
+
78
+ 20
79
+ 00:02:41,860 --> 00:02:52,700
80
+ ูˆ ู‡ุงุฎุฏ ู…ุฌู…ูˆุนุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุชุŒ ู…ู…ูƒู†
81
+
82
+ 21
83
+ 00:02:52,700 --> 00:03:00,060
84
+ ู‡ุฃุฎุฏ ุงู„ู€ first readingุŒ ุงู„ู€ secondุŒ ุงู„ู€ nthุŒ ุงู„ู€ nth ุจุชูƒูˆู†
85
+
86
+ 22
87
+ 00:03:00,060 --> 00:03:05,020
88
+ ุนุดุฑุฉุŒ ุฅุญุฏู‰ ุนุดุฑุŒ ุงุซู†ูŠ ุนุดุฑ ุญุณุจ ุนุฏุฏูƒู… ููŠ ุงู„ุดุนุจุŒ ู‡ุจุฏุฃ ุฃูƒูˆู†
89
+
90
+ 23
91
+ 00:03:05,020 --> 00:03:12,210
92
+ ุงู„ู‚ูŠู… ุงู„ู…ุชุณู„ุณู„ุฉุŒ ุงู„ู…ูุฑูˆุถ ูŠุนุทูŠู†ุง ุตูุฑุŒ ู‡ู†ุชุทู„ุน ู†ุดูˆู
93
+
94
+ 24
95
+ 00:03:12,210 --> 00:03:22,510
96
+ ุงู„ู‚ุฑุงุกุฉ ู‡ุชุนุทูŠูƒ ุตูุฑ ูˆู„ุง ู…ุด ุตูุฑุŒ ู‡ุชุญุท ุงู„ู‚ุฑุงุกุงุช ุงู„ุขู†
97
+
98
+ 25
99
+ 00:03:22,510 --> 00:03:27,610
100
+ ุงู„ู€ range ุฏู‡ ู…ุซู„ุงู‹ ู…ู† ุตูุฑ ู„ู€ 150 ุงู„ุขู†ุŒ ููŠ ุนู†ุฏูŠ ุงู„ู€
101
+
102
+ 26
103
+ 00:03:27,610 --> 00:03:31,890
104
+ gauge blocksุŒ ุงู„ู€ gauge blocks ู„ูˆ ุฌุจู†ุง gauge blocks
105
+
106
+ 27
107
+ 00:03:31,890 --> 00:03:36,970
108
+ ุจู…ู‚ูŠุงุณ ุฃูˆู„ gauge block 30 ู…ู„ูŠ
109
+
110
+ 28
111
+ 00:03:40,760 --> 00:03:47,880
112
+ ุจูŽู‚ูŠุณ ููŠู†ุŸ ุจู‚ูŠุณู‡ ุนู„ู‰ ุงู„ู€ dial gaugeุŒ ุจุงุฎุฏ
113
+
114
+ 29
115
+ 00:03:47,880 --> 00:03:55,440
116
+ ุงู„ู‚ุฑุงุกุงุชุŒ ูƒู„ ุทุงู„ุจ ูŠู‚ุฑุฃ ูˆูŠุนุทูŠู†ุง ุงู„ู€ readingุŒ ูˆุจุนุฏูŠู†
117
+
118
+ 30
119
+ 00:03:55,440 --> 00:04:00,640
120
+ 60 ุจุฑุถู‡ ุจุงุฎุฏ ุงู„ู‚ุฑุงุกุงุชุŒ ู‡ุฐู‡ ุงู„ู€ observedุŒ ู‡ุฐู‡ ุงู„ู€
121
+
122
+ 31
123
+ 00:04:00,640 --> 00:04:05,360
124
+ true ุงู„ุญู‚ูŠู‚ูŠุฉุŒ ุงู„ู€ reference ุจุชุงุนูŠ 90
125
+
126
+ 32
127
+ 00:04:10,020 --> 00:04:14,000
128
+ 120 ู…ุซู„ุงู‹
129
+
130
+ 33
131
+ 00:04:14,000 --> 00:04:19,220
132
+ 150 ูŠุนู†ูŠ
133
+
134
+ 34
135
+ 00:04:19,220 --> 00:04:27,860
136
+ ุบุทูŠุช ุงู„ู€ rangeุŒ ุจุจุฏุฃ
137
+
138
+ 35
139
+ 00:04:27,860 --> 00:04:33,360
140
+ ุฃู†ุฒู„ ู†ุฒูˆู„ุงู‹ุŒ ุจุฑูˆุญ ุฃุณุฌู„ ุงู„ู€ caliberุŒ ุจุญุท 120 ู„ู€
141
+
142
+ 36
143
+ 00:04:33,360 --> 00:04:38,700
144
+ ุจุดูŠู„ ุงู„ุจู„ูˆูƒุฉ ุจุญูŠุซ ุฃุฑุฌุน ู„ู„ู€ 120ุŒ ุจุฑุฌุนุŒ ุจุฑุฌุน
145
+
146
+ 37
147
+ 00:04:38,700 --> 00:04:47,540
148
+ ู„ู€ 120ุŒ ุจุงุฎุฏ observed readingsุŒ ูŠุนู†ูŠ ุจุฏุฃุช ุตูุฑ
149
+
150
+ 38
151
+ 00:04:47,540 --> 00:04:51,940
152
+ 30ุŒ ุฒูˆุฏุช 60ุŒ 90ุŒ 100ุŒ ูŠุนู†ูŠ ุจูŠูƒูˆู† ุงู„ู€ loading ููŠ
153
+
154
+ 39
155
+ 00:04:51,940 --> 00:04:57,500
156
+ ุงุชุฌุงู‡ ูˆุงุญุฏุŒ ุจูƒูˆู† ุฃูุชุญ ุงู„ู€ caliberุŒ ูˆุจุนุฏูŠู†
157
+
158
+ 40
159
+ 00:04:57,500 --> 00:05:07,400
160
+ 90ุŒ 60ุŒ 30ุŒ ุตูุฑ
161
+
162
+ 41
163
+ 00:05:16,250 --> 00:05:23,490
164
+ ุจุนุฏูŠู† ุจุงุฎุฏ ุงู„ู€ X bar ู„ูƒู„ ู‚ุฑุงุกุฉุŒ ุจุงุฎุฏ ุงู„ู€ X ู…ุฌู…ูˆุน
165
+
166
+ 42
167
+ 00:05:23,490 --> 00:05:30,490
168
+ ุงู„ู‚ุฑุงุกุงุช ุนู„ู‰ ุนุฏุฏู‡ู…ุŒ ูˆุจุนุฏูŠู†
169
+
170
+ 43
171
+ 00:05:30,490 --> 00:05:37,410
172
+ ุงู„ู€ SXุŒ ุงู„ู€ standard deviation ู‡ุฐุง
173
+
174
+ 44
175
+ 00:05:37,410 --> 00:05:38,010
176
+ ูƒู„ู‡ ุนู„ู‰ Excel
177
+
178
+ 45
179
+ 00:05:50,220 --> 00:06:03,240
180
+ ุจุนุฏูŠู† ู†ุญูƒูŠ ุงู„ู€.. ุงู„ู€.. ุงู„ู€ error ููŠ ูƒู„ ู‚ุฑุงุกุฉุŒ ูˆุจุนุฏูŠู†
181
+
182
+ 46
183
+ 00:06:03,240 --> 00:06:09,800
184
+ ุจุนู…ู„ ุงู„ู€ plotุŒ ุจุนู…ู„ ุงู„ู€ plot ุงู„ู€
185
+
186
+ 47
187
+ 00:06:09,800 --> 00:06:20,170
188
+ plotุŒ ุงู„ู€ plot ุงู„ู€ x bar versus
189
+
190
+ 48
191
+ 00:06:20,170 --> 00:06:23,250
192
+ ุงู„ู„ูŠ
193
+
194
+ 49
195
+ 00:06:23,250 --> 00:06:31,830
196
+ ู‡ูŠ x trueุŒ ุงู„ู€ true value ู„ู…ุง
197
+
198
+ 50
199
+ 00:06:31,830 --> 00:06:38,950
200
+ ู†ุนู…ู„ plotุŒ ู‡ูŠ
201
+
202
+ 51
203
+ 00:06:38,950 --> 00:06:42,930
204
+ ุนู†ุฏูŠ x trueุŒ ูˆู‡ูŠ ุนู†ุฏูŠ x bar
205
+
206
+ 52
207
+ 00:06:45,980 --> 00:06:48,920
208
+ ู…ุจุณุทุฉุŒ ู…ู…ูƒู† ูŠุทู„ุน ู…ุนุงูƒุด ุฒูŠ ูƒุฏู‡ุŒ ู‡ุงูŠ ุฃูˆ ู‡ุงูŠุŒ ู‡ุงูŠ ุตูุฑ
209
+
210
+ 53
211
+ 00:06:48,920 --> 00:06:52,500
212
+ 30
213
+
214
+ 54
215
+ 00:06:52,500 --> 00:07:07,620
216
+ 60ุŒ 90ุŒ 120ุŒ 150ุŒ 30
217
+
218
+ 55
219
+ 00:07:07,620 --> 00:07:15,300
220
+ 60ุŒ 90ุŒ 120ุŒ 150ุŒ ุฅุฐุง ุงู„ู€ reading
221
+
222
+ 56
223
+ 00:07:15,300 --> 00:07:18,420
224
+ 100%ุŒ ุฅุฐุง ู‡ุฐู‡ 30 ู…ุงู‡ูˆ ู‡ุชุทู„ุน 30 ุจุณ
225
+
226
+ 57
227
+ 00:07:18,420 --> 00:07:22,580
228
+ ู…ุด ู‡ุชุทู„ุน 30ุŒ ู‡ูŠ ู‡ุชุทู„ุน ููŠู‡ ุงุฎุชู„ุงูุŒ ูุฃู†ุง ู‡ุชุทู„ุน ุนู†ุฏ
229
+
230
+ 58
231
+ 00:07:22,580 --> 00:07:23,760
232
+ ู…ุซู„ุงู‹ ุฃุญูƒูŠ ู‡ุฐู‡ ุงู„ู†ู‚ุงุท
233
+
234
+ 59
235
+ 00:07:54,780 --> 00:07:57,380
236
+ ูŠุนู†ูŠ ุฃู†ุง ุฃุญูƒูŠ ุฃู† ุฃู†ุง ู‡ูŠ ุฃูˆู„ ู‚ุฑุงุกุฉ ุทู„ุนุช ู…ุซู„ุงู‹ ู‡ู†ุง
237
+
238
+ 60
239
+ 00:07:57,380 --> 00:08:12,360
240
+ ู‡ุฐุง ู„ุฃู† ุจุฏุฃุช ู‚ุฑุงุกุฉ ุชุงู†ูŠุฉุŒ ู‡ุฐุง
241
+
242
+ 61
243
+ 00:08:12,360 --> 00:08:20,980
244
+ ูˆุฃู†ุง ุจุนู…ู„ loading ููŠ
245
+
246
+ 62
247
+ 00:08:20,980 --> 00:08:23,660
248
+ ุงู„ู€ unloading ู…ุซู„ุงู‹ ุทู„ุน ุดูŠุก ุฒูŠ ูƒุฏู‡
249
+
250
+ 63
251
+ 00:08:26,500 --> 00:08:35,580
252
+ ู…ุซู„ุงู‹ุŒ ู…ุด ุฏูˆู„ ูŠุทู„ุน ุฒูŠ ู…ุง ุจุนู…ู„ ูŠุนู†ูŠ ููŠ
253
+
254
+ 64
255
+ 00:08:35,580 --> 00:08:44,140
256
+ ุงู„ู€ unloading ูŠุนู†ูŠ ุฅุญู†ุง ุทู„ุนู†ุง ุฒูŠ ูƒุฏู‡ ูˆุฑุฌุนู†ุง ูƒุฏู‡
257
+
258
+ 65
259
+ 00:08:44,140 --> 00:08:48,560
260
+ ู‡ุฃุนู…ู„
261
+
262
+ 66
263
+ 00:08:48,560 --> 00:08:49,040
264
+ curve
265
+
266
+ 67
267
+ 00:08:52,370 --> 00:08:57,630
268
+ I want a curveุŒ another curve ุนู„ู‰ ุงู„ู€ Excel ุจุนู…ู„
269
+
270
+ 68
271
+ 00:08:57,630 --> 00:09:05,470
272
+ linear fitุŒ linear fitุŒ ู†ูุชุฑุถ ุฃู† ุงู„ู€ linear fit ุทุงู„ุน
273
+
274
+ 69
275
+ 00:09:05,470 --> 00:09:10,290
276
+ ู…ุนู†ุงู‡ ุฒูŠ ูƒุฏู‡ุŒ ู‡ุฐุง
277
+
278
+ 70
279
+ 00:09:10,290 --> 00:09:17,050
280
+ linear fitุŒ linear fit ู‡ุฃุนู…ู„ู‡ุŒ ู…ุนุงุฏู„ุฉ y
281
+
282
+ 71
283
+ 00:09:20,620 --> 00:09:27,220
284
+ ุจุงู„ุชุณุงูˆูŠ ax ุฒุงุฆุฏ bุŒ ุงู„ู€
285
+
286
+ 72
287
+ 00:09:27,220 --> 00:09:33,000
288
+ a ู‡ูˆ ุงู„ู€ slope ูˆุงู„ู€
289
+
290
+ 73
291
+ 00:09:33,000 --> 00:09:41,380
292
+ b ุงู„ู€ interceptุŒ ุงู„ู€
293
+
294
+ 74
295
+ 00:09:41,380 --> 00:09:45,160
296
+ a ุงู„ู€
297
+
298
+ 75
299
+ 00:09:45,160 --> 00:09:49,780
300
+ slope ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ linearityุŒ ุงู„ู€ linearity
301
+
302
+ 76
303
+ 00:09:53,150 --> 00:09:56,590
304
+ ุงู„ุฃุตู„ ุงู„ู€ A ูŠุนู†ูŠ ู„ูˆ 100% perfect ุงู„ู…ุฑูˆุฑ
305
+
306
+ 77
307
+ 00:09:56,590 --> 00:10:03,990
308
+ ุชุทู„ุน ุงู„ู€ A ูˆุงุญุฏุŒ ุจุณ ุจูŠูƒูˆู† ุงู„ู€ point 0.995 ุฃูˆ
309
+
310
+ 78
311
+ 00:10:03,990 --> 00:10:11,910
312
+ ุฃูƒุซุฑุŒ ุงู„ู€ B ุงู„ู„ูŠ ู‡ูŠ Zero Offset
313
+
314
+ 79
315
+ 00:10:11,910 --> 00:10:15,770
316
+ ุงู„ู…ุณุงุญุฉ
317
+
318
+ 80
319
+ 00:10:15,770 --> 00:10:21,090
320
+ ุจูŠู† ุงู„ู€ loading line ูˆุงู„ู€ unloading line
321
+
322
+ 81
323
+ 00:10:27,580 --> 00:10:39,300
324
+ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู€ hysteresisุŒ ุฏูƒุชูˆุฑ
325
+
326
+ 82
327
+ 00:10:39,300 --> 00:10:42,560
328
+ ููŠ ุงู„ุนุงุฏุฉ ุงู„ู…ุณุงุญุฉ ู‡ูŠ ุงู„ู„ูŠ ุชูƒูˆู† ูƒุจูŠุฑุฉ ูˆู„ุง ุตุบูŠุฑุฉ ุญุณุจ
329
+
330
+ 83
331
+ 00:10:42,560 --> 00:10:46,460
332
+ ุญุณุจ
333
+
334
+ 84
335
+ 00:10:46,460 --> 00:10:50,960
336
+ ุงู„ุขู†
337
+
338
+ 85
339
+ 00:10:50,960 --> 00:11:01,290
340
+ ู…ุซู„ุงู‹ ุทู„ุนุช ุงู„ู€ y ุจุชุณุงูˆูŠ 0.9995 x ุฒุงุฆุฏ
341
+
342
+ 86
343
+ 00:11:01,290 --> 00:11:18,530
344
+ point 0.3ุŒ ูู„ุงุญุธูˆุง
345
+
346
+ 87
347
+ 00:11:18,530 --> 00:11:21,990
348
+ ุฏุงูŠู…ุงู‹ ููŠ ุนู†ุฏูŠุŒ ุฏุงูŠู…ุงู‹ ููŠ ูุฑู‚ point 0.3ุŒ point 0
349
+
350
+ 88
351
+ 00:11:21,990 --> 00:11:28,390
352
+ 3ุŒ ูƒู„ ุงู„ู‚ุฑุงุกุงุชุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ููŠ ู†ุชูŠุฌุฉ ู‡ุฐู‡ ุงู„ู†ุงุชุฌ ู„ุฃู†
353
+
354
+ 89
355
+ 00:11:28,390 --> 00:11:34,430
356
+ ุงู„ู„ูŠ ู‡ูˆ precision ุฃูˆ random errorุŒ ู‡ุฐุง ู†ุชูŠุฌุฉ ุฅูŠุด
357
+
358
+ 90
359
+ 00:11:34,430 --> 00:11:40,390
360
+ ุฅูŠู‡ุŸ systematic ุฃูˆ biasุŒ systematic ุฃูˆ bias error
361
+
362
+ 91
363
+ 00:11:40,390 --> 00:11:47,250
364
+ ูู€ ุฃูˆ ูƒู†ุช ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ู‡ุฐุง ู‡ูˆ ุงู„ู€ bias errorุŒ ู…ุซู„ุงู‹ ุงู„ู€
365
+
366
+ 92
367
+ 00:11:47,250 --> 00:11:52,390
368
+ precision ู‡ูŠ ุฌุงุกุช ู…ู† ู‡ู†ุง ุฃูˆ ู‡ุฐุง ุงู„ู€ total errorุŒ ู‡ุฐุง
369
+
370
+ 93
371
+ 00:11:52,390 --> 00:11:58,210
372
+ ุงู„ู€ totalุŒ total error ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ E totalุŒ ูุนู†ุฏูƒ E
373
+
374
+ 94
375
+ 00:11:58,210 --> 00:12:11,370
376
+ precision ุฒุงุฆุฏ E bias ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ biasุŒ ูุฃู†ุง
377
+
378
+ 95
379
+ 00:12:11,370 --> 00:12:15,290
380
+ ู…ู…ูƒู† ุฃุญุฏุฏ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ precisionุŒ ุฃู†ู‡ ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ุฃู†ุง
381
+
382
+ 96
383
+ 00:12:15,290 --> 00:12:21,160
384
+ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุจุงุฎุฏู‡ุง ุฏุงูŠู…ุงู‹ ููŠู‡ุง point 0.3ุŒ ู…ุนู†ู‰
385
+
386
+ 97
387
+ 00:12:21,160 --> 00:12:24,000
388
+ ุงู„ู‚ุฑุงุกุฉ ุฏู‡ุŒ ุงุทุฑุญ ู…ู†ู‡ุง point ุนุดุงู† ุชูƒูˆู†ุŒ ุชุฃูƒุฏ ุนุดุงู†
389
+
390
+ 98
391
+ 00:12:24,000 --> 00:12:30,380
392
+ ุชูƒูˆู† ุงู„ู‚ุฑุงุกุฉ ุฃูƒุซุฑ ุฏู‚ุฉุŒ ุงุทุฑุญ ู…ู†ู‡ุง point 0.3 ุงู„ู„ูŠ
393
+
394
+ 99
395
+ 00:12:30,380 --> 00:12:36,060
396
+ ู‡ูˆ ุงู„ู€ bias ุฃูˆ ุงู„ู€ offset ุฃูˆ ุงู„ู€ zero offset ุฃูˆ ุงู„ู€
397
+
398
+ 100
399
+ 00:12:36,060 --> 00:12:41,760
400
+ shift ู‡ุฐุง
401
+
402
+ 101
403
+ 00:12:41,760 --> 00:12:44,340
404
+ ุนู…ู„ู†ุง ู„ู‡ ุงู„ู€ calibrationุŒ ูƒู†ุง ู†ุนู…ู„ ูˆุงุญุฏ ุชุฌุฑุจุฉ ุจุงู„ุดูƒู„
405
+
406
+ 102
407
+ 00:12:44,340 --> 00:12:52,330
408
+ .. ุจุงู„ุดูƒู„ ู‡ุฐุงุŒ ู‡ุชุชุนู„ู…ูˆุง ุดุบู„ุงุช ู…ุด ูƒุชูŠุฑุŒ ุฃู†ุง ุฌุงู„ ู…ุฏู‰ ุงู„ู€
409
+
410
+ 103
411
+ 00:12:52,330 --> 00:12:57,470
412
+ courseุŒ ู‡ู‚ูˆู„ ู„ูƒู…ุŒ ููŠุด ุนู†ุฏู†ุง ุฃุฏูˆุงุช ูˆู…ุฎุชุจุฑ ูƒุงููŠ ู„ู€..
413
+
414
+ 104
415
+ 00:12:57,470 --> 00:13:02,510
416
+ ู„ู…ุงุฏุฉ ุงู„ู‚ูŠุงุณุงุชุŒ ุจุณ ุจุฏุฃุช ุฃุญุถุฑ ุงู„ู…ุงุฏุฉ ุงู„ู„ูŠ ู‡ูŠ ุฃู†
417
+
418
+ 105
419
+ 00:13:02,510 --> 00:13:07,850
420
+ ุนู†ุฏู†ุง ู…ู…ูƒู† ุฃุญุท.. ุฃุนุทูŠ course ู‚ูŠุงุณุงุช ุจุดุบู„ุงุช ุจุณูŠุทุฉ
421
+
422
+ 106
423
+ 00:13:07,850 --> 00:13:13,510
424
+ ู…ุด ู…ุญุชุงุฌุฉ ุฃู† ุฃู†ุง ุฃุฌู‡ุฒุฉ ู…ุนู‚ุฏุฉุŒ ูุงู„ุฃุฌู‡ุฒุฉ ุงู„ู…ูˆุฌูˆุฏุฉ
425
+
426
+ 107
427
+ 00:13:13,510 --> 00:13:21,090
428
+ ุจุชุบุทูŠ ุฃูƒุซุฑ ุจูƒุซูŠุฑ ู…ู† ุงุญุชูŠุงุฌุงุช ุงู„ู€ courseุŒ ููŠ ู‡ุฐู‡
429
+
430
+ 108
431
+ 00:13:21,090 --> 00:13:29,550
432
+ ุงู„ุชุฌุฑุจุฉ ุงู„ู„ูŠ ู‡ูŠ ุฑู‚ู… ุซู„ุงุซุฉุŒ ุงู„ุชุฌุฑุจุฉ
433
+
434
+ 109
435
+ 00:13:29,550 --> 00:13:33,350
436
+ ุงู„ุฑุงุจุนุฉ ู‡ุชุนู…ู„ูˆุง calibration ู„ู…ูŠุฒุงู†ุŒ calibration
437
+
438
+ 110
439
+ 00:13:33,350 --> 00:13:39,630
440
+ ู„ู…ูŠุฒุงู†ุŒ ุทุจุนุงู‹ ุนุดุงู† ุชุนู…ู„ calibration ู…ุญุชุงุฌ ู„ุฃูˆุฒุงู†
441
+
442
+ 111
443
+ 00:13:39,630 --> 00:13:46,530
444
+ ู…ุฑุฌุนูŠุฉุŒ ูŠุนู†ูŠ ู…ุนุฑูˆู ู‡ุฐุง ูˆุฒู†ู‡ ูƒูŠู„ูˆุŒ weightุŒ gauge blocks
445
+
446
+ 112
447
+ 00:13:46,530 --> 00:13:52,270
448
+ ุงู„ู‡ุฏู ู„ู„ุฃูˆุฒุงู†ุŒ ุจู†ูุณ ุงู„ุทุฑูŠู‚ุฉ ุจุชุนู…ู„ calibration
449
+
450
+ 113
451
+ 00:13:52,270 --> 00:13:57,290
452
+ ู„ู„ู…ูŠุฒุงู†ุŒ ุทุจุนุงู‹ ุจุชุจุฏุฃ ู…ู†ุŒ ุจุชุดูˆู ุงู„ู€ range ุจุชุงุน ุงู„ุฌู‡ุงุฒ
453
+
454
+ 114
455
+ 00:13:57,290 --> 00:14:02,630
456
+ ู…ุซู„ุงู‹ ุจูˆุฒู† ู„ุญุฏ 30 ูƒูŠู„ูˆุŒ ู…ู† ุตูุฑ ู„ู€ 30ุŒ ูุฃู†ุช ู„ุงุฒู…
457
+
458
+ 115
459
+ 00:14:02,630 --> 00:14:08,010
460
+ ุชุบุทูŠ ูƒู„ ุงู„ู€ rangeุŒ ู„ุงุฒู… ุชุถุบุท ูƒู„ ุงู„ู€ rangeุŒ ุจุชุนู…ู„
461
+
462
+ 116
463
+ 00:14:08,010 --> 00:14:13,660
464
+ loading ู„ู„ู…ูŠุฒุงู† ูˆ unloadingุŒ ูˆุจุชุญุณุจ.. ุจุชุนู…ู„..
465
+
466
+ 117
467
+ 00:14:13,660 --> 00:14:18,700
468
+ ุจุชุฌูŠุจ ุงู„ู€ hysteresis ูˆุจุชุนู…ู„ linear fit ูˆุจุชุญุณุจ
469
+
470
+ 118
471
+ 00:14:18,700 --> 00:14:25,400
472
+ ุงู„ู„ูŠ ู‡ูˆ linearity ูˆุจุชุญุณุจ ุงู„ู€ zero offsetุŒ ุทุจุนุงู‹ ููŠ
473
+
474
+ 119
475
+ 00:14:25,400 --> 00:14:29,360
476
+ ุจุนุถ ุงู„ุฃุฌู‡ุฒุฉ ุฅุฐุง ูƒุงู† ุงู„ู€ digital ู…ู…ูƒู† ุฃุนู…ู„.. ุฃุจุฑู…ุฌ
477
+
478
+ 120
479
+ 00:14:29,360 --> 00:14:34,440
480
+ .. ุฃุนู…ู„.. ุฃุนูŠู‘ุฑ ุงู„ู‚ุฑุงุกุฉุŒ ุฃุญูƒูŠ ู„ู„ู€ zero offset ูƒุฐุง ูˆ
481
+
482
+ 121
483
+ 00:14:34,440 --> 00:14:39,670
484
+ ู„ุณู‡ ู„ุชู‡ ูƒุฐุงุŒ ูˆู‡ูˆ ูŠุนุฏู„ ู„ุญุงู„ู‡ุŒ ู‡ุฐุง calibration ู„ูƒู† ููŠ
485
+
486
+ 122
487
+ 00:14:39,670 --> 00:14:43,490
488
+ ุญุงู„ุฉ dial gauge ู…ุด ู‡ููƒูƒู‡ ูˆู„ุง ุงู„ุนุจ ููŠ ุงู„ู€ truth ุจุชุงุนุชู‡
489
+
490
+ 123
491
+ 00:14:43,490 --> 00:14:51,150
492
+ ุนุดุงู† ุฃู†ุง ุจุณู…ูŠู‡ุงุŒ ู…ู…ูƒู† ุงุณู…ูŠู‡ุง characterization ุฃูˆ
493
+
494
+ 124
495
+ 00:14:51,150 --> 00:14:56,710
496
+ calibrationุŒ ุฅุฐุง ู†ุจู‡ุช.. ู†ุจู‡ุช ุงู„ู…ุณุชุฎุฏู… ุฃู†ู‡ ุฃู†ุช ุจุนุฏ
497
+
498
+ 125
499
+ 00:14:56,710 --> 00:15:02,570
500
+ ู…ุง ุชุฃุฎุฐ ุงู„ู‚ุฑุงุกุฉุŒ ุฃุถู ูƒุฐุงุŒ ุงุทุฑุญ ูƒุฐุงุŒ ููŠ ุงู„ุญุงู„ุงุช ุฏูŠ ุจู‚ู‰
501
+
502
+ 126
503
+ 00:15:02,570 --> 00:15:05,910
504
+ ุจูŠุตูŠุฑ ู…ุง ูŠุณู…ู‰ manual calibrationุŒ ุงู„ู€ user ู‡ูˆ ุงู„ู„ูŠ
505
+
506
+ 127
507
+ 00:15:05,910 --> 00:15:07,430
508
+ ุจูŠุนู…ู„ ุงู„ู€ calibration ู…ุด ุงู„ุฌู‡ุงุฒ
509
+
510
+ 128
511
+ 00:15:11,430 --> 00:15:18,030
512
+ ู…ุซู„ุงู‹ ููŠ ุฃุฌู‡ุฒุฉ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ thermometerุŒ ู…ู…ูƒู† ุชู„ูŠุฒ
513
+
514
+ 129
515
+ 00:15:18,030 --> 00:15:24,890
516
+ ุญุฑุงุฑุฉ ุงู„ุฅู†ุณุงู†ุŒ ุชุญุท ุชุญุช ู„ุณุงู†ูƒ ุตุญุŸ ุฃูˆ ุชุญุช ุงู„ุฅุจุทุŒ ุชุญุช
517
+
518
+ 130
519
+ 00:15:24,890 --> 00:15:28,950
520
+ ู„ุณุงู†ูƒ ุณูˆุงุกุŒ ุจูŠุญูƒูŠู„ูƒ ุงุฎุชู„ู ู…ุซู„ุงู‹ 0.1 ุฏุฑุฌุฉ
521
+
522
+ 131
523
+ 00:15:28,950 --> 00:15:32,370
524
+ ุชุญุณุจู†ูŠุด ุนู„ู‰ ุงู„ุฃุฑู‚ุงู…ุŒ ุงุฎุชู„ู 0.1 ุฏุฑุฌุฉ ุชุญุช
525
+
526
+ 132
527
+ 00:15:32,370 --> 00:15:38,350
528
+ ุงู„ุฅุจุท ู…ุซู„ุงู‹ุŒ ุฒูŠู‘ุฏุช ู…ุซู„ุงู‹ ู†ุตู ุฏุฑุฌุฉุŒ ู…ุนู†ู‰ ุฃู† ู‡ูˆ.. ู‡ูˆ
529
+
530
+ 133
531
+ 00:15:38,350 --> 00:15:42,730
532
+ ุนุฑู ุฃู†.. ุฃู† ุงู„ู‚ุฑุงุกุฉ ุงู„ุญู‚ูŠู‚ูŠุฉ.. ูŠุนู†ูŠ ููŠ offset
533
+
534
+ 134
535
+ 00:15:42,730 --> 00:15:45,970
536
+ ุฃูˆ ููŠ ุนู†ุฏ.. ููŠ ุฅุฒุงุญุฉุŒ ูู‡ูˆ ุจูŠุญูƒูŠู„ูƒ ุงุนู…ู„ ูƒุฐุงุŒ ุฎุฏ
537
+
538
+ 135
539
+ 00:15:45,970 --> 00:15:49,910
540
+ ุงู„ู‚ุฑุงุกุฉ ูˆุงุนู…ู„ ุงู„ุชุนุฏูŠู„ ุงู„ุชุงู„ูŠุŒ ูู‡ูˆ ุนู…ู„ู‡
541
+
542
+ 136
543
+ 00:15:49,910 --> 00:15:53,030
544
+ characterizationุŒ he characterized ุงู„ู€ device ุทุจู‚ุง
545
+
546
+ 137
547
+ 00:15:53,030 --> 00:15:58,380
548
+ ู„ุทุฑูŠู‚ุฉ ุงู„ู€ application ูˆุงุนุทุงูƒ ุงู„ู€ adjustmentุŒ ุทุจุนุงู‹
549
+
550
+ 138
551
+ 00:15:58,380 --> 00:16:04,200
552
+ ููŠ precision errorsุŒ precision errors ู…ู…ูƒู†
553
+
554
+ 139
555
+ 00:16:04,200 --> 00:16:06,720
556
+ ุชุธู‡ุฑ ููŠ ู‚ูŠุงุณ ุงู„ุญุฑุงุฑุฉุŒ ุฃู†ู‡ ุงู„ู…ูุฑูˆุถ.. ุงู„ู…ูุฑูˆุถ ูŠุญุทู‡
557
+
558
+ 140
559
+ 00:16:06,720 --> 00:16:13,380
560
+ ู…ุซู„ุงู‹ ุญุฏ ู‚ุฏุฑ ู…ุซู„ุงู‹ ุฏู‚ูŠู‚ุฉ ุฃูˆ ุฏู‚ูŠู‚ุชูŠู†ุŒ ู‡ูˆ ู‡ูŠุญุทู‡ ุชู„ุช
561
+
562
+ 141
563
+ 00:16:13,380 --> 00:16:21,040
564
+ ุฏู‚ูŠู‚ุฉ ุฃูˆ ุชู„ุช ุฑุจุนุŒ ู‡ุชู…ู„ุฃ ุงู„ู€ precision ููŠ
565
+
566
+ 142
567
+ 00:16:21,040 --> 00:16:25,620
568
+ ู‡ูˆ ู„ู…ุง ูŠุทู„ุน ุนู„ู‰ ุงู„ู€ thermometer ูŠู‚ุฑุฃ ู…ุฑุฉุŒ ุจูŠู‚ุฑุฃ ุฃู‚ู„
569
+
570
+ 143
571
+ 00:16:25,620 --> 00:16:32,040
572
+ ุฃูˆ ุฃูƒุซุฑุŒ ู‡ุฐุง ูŠุนุชุจุฑ ุฅูŠู‡ุŸ precision ุฃูˆ random ู„ูƒู† ู„ูˆ
573
+
574
+ 144
575
+ 00:16:32,040 --> 00:16:33,960
576
+ ู‡ูˆ ุฏุงูŠู…ุงู‹ ุงู„ุดุฎุต ู‡ุฐุง ุงู„ู„ูŠ ู‡ูˆ ุจูŠู‚ุฑุฃุŒ ุชุฏุฑูŠุจ ุฏุงูŠู…ุงู‹
577
+
578
+ 145
579
+ 00:16:33,960 --> 00:16:36,580
580
+ ุจูŠุญุงูˆู„ ูŠุฒูˆุฏุŒ ู…ุซู„ุงู‹ ู‡ูˆ ู…ูุฑูˆุถ ูŠุทู„ุนูˆุง 1.3
581
+
582
+ 146
583
+ 00:16:36,580 --> 00:16:39,960
584
+ 1.34 ุฃูˆ ุญุชู‰ 1.35
585
+
586
+ 147
587
+ 00:16:39,960 --> 00:16:43,240
588
+ ุฏุงูŠู…ุงู‹ ุจูŠุฒูˆุฏุŒ ุจูŠุฒูˆุฏุŒ ุจูŠุฒูˆุฏุŒ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐุง ุจูŠุตูŠุฑ ุฅูŠู‡ุŸ
589
+
590
+ 148
591
+ 00:16:43,240 --> 00:16:48,720
592
+ randomุŒ ุจูŠุตูŠุฑ ุฅูŠู‡ุŸ bias ุฃูˆ systematicุŒ ูุชุตู†ูŠูู‡ุง ุงู„ู„ูŠ
593
+
594
+ 149
595
+ 00:16:48,720 --> 00:16:53,400
596
+ ู‡ูŠ systematic ุฃูˆ precisionุŒ ุจุฏู‡ุง ุฃู† ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ุดุฎุต
597
+
598
+ 150
599
+ 00:16:53,400 --> 00:16:53,940
600
+ ุงู„ู„ูŠ ุจูŠุนู…ู„ ุงู„ุชุฌุฑุจุฉ
601
+
602
+ 151
603
+ 00:17:13,130 --> 00:17:17,190
604
+ ุทูŠุจ ู†ุฑุฌุน ู„ู€.. ู„ู„ู…ุซุงู„ุŒ ุงู„ู…ุฑุฉ ุงู„ู„ูŠ ูุงุชุช ุนู…ู„ู†ุงู‡ุง.. ู†ุฑุงุฌุน
605
+
606
+ 152
607
+ 00:17:17,190 --> 00:17:21,890
608
+ ุจุณุฑุนุฉุŒ a pair of dice are tested to determine if
609
+
610
+ 153
611
+ 00:17:21,890 --> 00:17:28,010
612
+ they are trueุŒ when the.. the dice are tossed the
613
+
614
+ 154
615
+ 00:17:28,010 --> 00:17:32,110
616
+ face of some total is redุŒ ูƒุงู† ุนู†ุฏูŠ.. ุนู†ุฏูŠ ุญุฌุฑูŠู†
617
+
618
+ 155
619
+ 00:17:32,110 --> 00:17:36,070
620
+ ู†ุฑุฏุŒ ุจุฑู…ูŠ ุงู„ุญุฌุฑ ุงู„ุฃูˆู„ ูˆุงู„ุญุฌุฑ ุงู„ุซุงู†ูŠุŒ ูˆุจุฌู…ุน
621
+
622
+ 156
623
+ 00:17:36,070 --> 00:17:39,010
624
+ ุงู„ู‚ุฑุงุกุชูŠู†.. ูˆุจุฌู…ุน ุงู„ู‚ุฑุงุกุชูŠู†
625
+
626
+ 157
627
+ 00:17:40,680 --> 00:17:43,240
628
+ ุจุดูˆู ุฅูŠุด ุจูŠุทู„ุน ุงู„ู…ุฌู…ูˆุนุŒ ุงู„ู…ุฌู…ูˆุน ู…ู…ูƒู† ูŠูƒูˆู† ู…ุฌู…ูˆุน
629
+
630
+ 158
631
+ 00:17:43,240 --> 00:17:48,060
632
+ ุงุซู†ูŠู† ุฃูˆ ุซู„ุงุซุฉ ุฃูˆ ุฃุฑุจุนุฉ ุฃูˆ ุฎู…ุณุฉ ุฃูˆ ุณุชุฉ ุฃูˆ ุณุจุนุฉ ุฃูˆ
633
+
634
+ 159
635
+ 00:17:48,060 --> 00:17:52,800
636
+ ุซู…ุงู†ูŠุฉ ุฃูˆ ุชุณุนุฉ ุฃูˆ ุนุดุฑุฉ ุฃูˆ ุฅุญุฏู‰ ุนุดุฑ ุฃูˆ ุงุซู†ูŠ ุนุดุฑุŒ ู…ุฌู…ูˆุน ุงู„ู€
637
+
638
+ 160
639
+ 00:17:52,800 --> 00:17:58,660
640
+ expected ุงู„ู„ูŠ ู‡ูˆ ุงู„ู†ุธุฑูŠุŒ ุฃู† ุงู„ู…ุฌู…ูˆุน ุจูŠุทู„ุน ุงุซู†ูŠู† ูˆุงุญุฏ
641
+
642
+ 161
643
+ 00:17:58,660 --> 00:18:06,260
644
+ ุนู„ู‰ 36 ุตุญุŸ ุงู„ู…ุฌู…ูˆุน ุจูŠุทู„ุน ุซู„ุงุซุฉ ุงุซู†ูŠู† ุนู„ู‰
645
+
646
+ 162
647
+ 00:18:06,260 --> 00:18:11,360
648
+ 36ุŒ ุฅุฐุง ูุงูƒุฑูŠู†ุŒ ุฅุฐุง ุฃุฑุจุนุฉ ุฃุฑุจุนุฉ ูˆู‡ูƒุฐุงุŒ ู„ูƒู†
649
+
650
+ 163
651
+ 00:18:11,360 --> 00:18:15,040
652
+ ู‡ุฐุง ุงู„ู€.. ุงู„ู„ูŠ ุฅุญู†ุง ู…ุชูˆู‚ุนูŠู†ู‡ุŒ ู„ูƒู† ุฅุญู†ุง ู…ุชูˆู‚ุนูŠู†ู‡ ู…ุด
653
+
654
+ 164
655
+ 00:18:15,040 --> 00:18:18,360
656
+ ุจุงู„ุถุฑูˆุฑูŠ ุฅูŠุด ูŠุตูŠุฑ ุฒูŠ ุฅุญู†ุง ุงู„ู…ุชูˆู‚ุนูŠู†ุŒ ู‡ุฐุง ุงู„ู€
657
+
658
+ 165
659
+ 00:18:18,360 --> 00:18:24,340
660
+ observed ุงู„ุญู‚ูŠู‚ูŠุŒ ู‡ุฐุง ุชู… ุนู…ู„ ุงู„ุชุฌุฑุจุฉุŒ ูˆู„ุงุญุธูˆุง ุฃู†ู‡
661
+
662
+ 166
663
+ 00:18:24,340 --> 00:18:25,520
664
+ ู…ู† 360
665
+
666
+ 167
667
+ 00:18:28,200 --> 00:18:35,020
668
+ ู…ุฑุฉ ุทู„ุน ุฃู† ุจูŠุทู„ุน ุงู„ู€ sum ุฃู†ู‡ ุซู…ุงู† ู…ุฑุงุช ุจูŠุทู„ุน ุงู„ู€ sum
669
+
670
+ 168
671
+ 00:18:35,020 --> 00:18:40,240
672
+ ุงุซู†ูŠู†ุŒ 25 ู…ุฑุฉ ุจูŠุทู„ุน ุงู„ู€ sum ุซู„ุงุซุฉุŒ 29
673
+
674
+ 169
675
+ 00:18:40,240 --> 00:18:48,860
676
+ ู…ุฑุฉ ุงู„ู€ sum ุฃุฑุจุนุฉ ูˆู‡ูƒุฐุงุŒ ุงู„ุขู†
677
+
678
+ 170
679
+ 00:18:48,860 --> 00:18:53,500
680
+ ุงู„ู€ expected frequencyุŒ ุงู„ู€ observed frequencyุŒ ุฅุญู†ุง
681
+
682
+ 171
683
+ 00:18:53,500 --> 00:18:59,630
684
+ ุนุงุฑููŠู† ุฃู† ู‡ูˆ ู‡ุฐุง ุจุงู„ุชุฌุฑุจุฉุŒ expected ู‡ุชูƒูˆู† ู…ู† 360
685
+
686
+ 172
687
+ 00:18:59,630 --> 00:19:03,570
688
+ ูˆุงุญุฏ ุนุดุงู† ุซู„ุซูŠู† ูŠุนู†ูŠ ุจูŠุทู„ุนุŒ ูŠุง ุนุดุฑุฉ ู…ุฑุงุช
689
+
690
+ 173
691
+ 00:19:03,570 --> 00:19:08,290
692
+ ุนุดุฑูŠู†ุŒ ุซู„ุซูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุฎู…ุณูŠู†ุŒ ุณุชูŠู†ุŒ ุฎู…ุณูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุซู„ุซูŠู†
693
+
694
+ 174
695
+ 00:19:08,290 --> 00:19:11,930
696
+ ุนุดุฑูŠู†ุŒ ุนุดุฑุฉุŒ ุดู…ุนุฉ ู…ู† 360ุŒ ู‡ุฐุง expected ุงู„ู€
697
+
698
+ 175
699
+ 00:19:11,930 --> 00:19:13,910
700
+ expectedุŒ ู…ุด ุจุงู„ุถุฑูˆุฑูŠ ูŠุง ุจุงุด ูŠุตูŠุฑ
701
+
702
+ 176
703
+ 00:19:19,680 --> 00:19:24,660
704
+ ูุฅุญู†ุง ู‡ู†ุณุชุฎุฏู… ุงู„ู€ chi squareุŒ ู†ุญุณุจ X experimental
705
+
706
+ 177
707
+ 00:19:24,660 --> 00:19:31,280
708
+ ุชุฑุจูŠุนุŒ ุงู„ู„ูŠ ู‡ูˆ summation ู„ู„ู€ observed values OI
709
+
710
+ 178
711
+ 00:19:31,280 --> 00:19:35,120
712
+ minus expected I ุงู„ูƒู„ ุชุฑุจูŠุน ุนู„ูŠู‡ IุŒ I ู…ู† ูˆุงุญุฏ
713
+
714
+ 179
715
+ 00:19:35,120 --> 00:19:40,340
716
+ ู„ู€ 11ุŒ ูŠุนู†ูŠ ุฃู†ุง ุนู†ุฏูŠ 11 ู‚ุฑุงุกุฉุŒ 11 ุงุญุชู…ุงู„
717
+
718
+ 180
719
+ 00:19:40,340 --> 00:19:45,520
720
+ ู‡ุฐุงุŒ ุจุชุนุฏู‡ู… ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉ
721
+
722
+ 181
723
+ 00:19:45,52
724
+
725
+ 223
726
+ 00:23:25,240 --> 00:23:31,900
727
+ ุทุฑูŠู‚ุชูŠู† method one ุฃู† ุฃูุนู…ู„ histogram
728
+
729
+ 224
730
+ 00:23:31,900 --> 00:23:38,400
731
+ histogram ุนู†ุฏูŠ
732
+
733
+ 225
734
+ 00:23:38,400 --> 00:23:42,320
735
+ ู…ุฌู…ูˆุน ู…ู† ุงู„ุจูŠุงู†ุงุชุŒ ุฃุนู…ู„ ู…ุซู„ุงู‹ ุฅุฐุง ู‚ุฑุฃุช ู…ู† ูƒุฐุง ู„ูƒุฐุง
736
+
737
+ 226
738
+ 00:23:42,320 --> 00:23:46,140
739
+ ุจุนุฏู‡ุงุŒ ููŠุทู„ุน ู„ูŠ ุดูƒู„ ุดูŠุก ุฒูŠ ู‡ูŠูƒ ู…ุซู„ุงู‹
740
+
741
+ 227
742
+ 00:23:59,440 --> 00:24:05,200
743
+ ุฃุฑุณู… ุงู„ู‡ุณุชูˆุฌุฑุงู…ุŒ ู‡ุฐุง ุงู„ู€ XุŒ ู‡ุฐุง ุงู„ู€ frequency ุจุชุงุนู‡ุง
744
+
745
+ 228
746
+ 00:24:05,200 --> 00:24:12,760
747
+ ุนุฏุฏ ุงู„ุจุงุฑุงุช frequency ุฃูˆ ุงู„ู€ count ุจุงู„ู†ุธุฑ
748
+
749
+ 229
750
+ 00:24:12,760 --> 00:24:20,980
751
+ ูŠูุจูŠู† ุฃู†ุŒ ู„ูˆ ุฃุฑุฏุชู ุฃู† ุฃุนู…ู„ curve fitุŒ ูŠูุจูŠู†
752
+
753
+ 230
754
+ 00:24:20,980 --> 00:24:25,740
755
+ ุดูƒู„ู‡ ุทุจูŠุนูŠุŒ ูŠูุจูŠู† ุฃูŠุด ุดูƒู„ู‡ ุทุจูŠุนูŠุŒ ู‡ุฐู‡ ุฅุญุฏู‰ ุงู„ุทุฑู‚
756
+
757
+ 231
758
+ 00:24:25,740 --> 00:24:28,540
759
+ ุจุงุณุชุฎุฏุงู… ุงู„ู‡ุณุชูˆุฌุฑุงู…
760
+
761
+ 232
762
+ 00:24:30,620 --> 00:24:35,180
763
+ ู„ูƒู† ู‡ุฐุง ุงู„ู€ approach ุทุจุนุงู‹ ู„ูˆ ู„ู… ุฃุญุตู„ ุนู„ู‰ ู‡ุฐุง ุงู„ุดูƒู„ ุซุงู†ูŠุฉู‹
764
+
765
+ 233
766
+ 00:25:05,970 --> 00:25:13,110
767
+ ุงู„ูุชุงุฉุŒ ู‡ูˆ ู„ู† ูŠูŽุธู‡ุฑ ู„ูƒู ู‡ูƒุฐุง ู…ุซู„ุงู‹ุŒ ููŠู‡
768
+
769
+ 234
770
+ 00:25:13,110 --> 00:25:23,350
771
+ skew ููŠู‡ skewุŒ ู…ุจูŠู† ุฃู†ู‡ ุชูˆุฒูŠุน ุบูŠุฑ ุทุจูŠุนูŠุŒ ุงู„ู€ approach
772
+
773
+ 235
774
+ 00:25:23,350 --> 00:25:29,530
775
+ ุทุฑูŠู‚ุฉ ุงู„ู‡ุณุชูˆุฌุฑุงู… ู‚ุฏ ุชูƒูˆู† ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุถู„ู„ุฉุŒ
776
+
777
+ 236
778
+ 00:25:29,530 --> 00:25:39,370
779
+ ุชุนุทูŠู†ุง ู†ุชุงุฆุฌ ู…ุถู„ู„ุฉ ู„ุฃู†ู‡ุง ุชุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ range of data
780
+
781
+ 237
782
+ 00:25:39,370 --> 00:25:43,770
783
+ ูƒูŠู ุฃุฎุชุงุฑ ุงู„ู€ range of dataุŸ ู„ุฃู† ู„ูˆ
784
+
785
+ 238
786
+ 00:25:43,770 --> 00:25:47,170
787
+ ุฅุฐุง ูƒุจุฑุช ู‚ู„ูŠู„ุงู‹ ุงู„ู€ rangeุŒ ูˆุฏุฎู„ุช ู…ุฌู…ูˆุนุฉ ุฌุฏูŠุฏุฉ
788
+
789
+ 239
790
+ 00:25:47,170 --> 00:25:53,390
791
+ ุชุนู…ู„ ู„ูŠ ุชุบูŠูŠุฑ ูƒุซูŠุฑุŒ ูุชูƒูˆู† ูŠุนู†ูŠ ุชูƒูˆู† ูŠุนู†ูŠ
792
+
793
+ 240
794
+ 00:25:53,390 --> 00:25:57,270
795
+ ุชู‚ุฏูŠุฑูƒ ู„ุงุฎุชูŠุงุฑ ุงู„ู€ range ู‡ุฐู‡ุŒ ุชุชุฑูˆุงุญ ู…ู† ูƒุฐุง ู„ูƒุฐุงุŒ ูˆ
796
+
797
+ 241
798
+ 00:25:57,270 --> 00:26:00,510
799
+ ู‡ุฐู‡ ู…ู† ูƒุฐุง ู„ูƒุฐุงุŒ ูŠูƒูˆู† ุฅู„ู‰ ุญุฏ ู…ุงุŒ ุณุชุถุทุฑ ู„ุฅุนุงุฏุฉ ุฐู„ูƒ ู…ุฑุงุช ุนุฏูŠุฏุฉ
800
+
801
+ 242
802
+ 00:26:01,310 --> 00:26:05,350
803
+ ูู…ู…ูƒู† ุฅุฐุง ูƒุงู† ุงุฎุชูŠุงุฑูƒ ู„ู„ู€ range ุงู„ุฎุงุต ุจุงู„ุชุบูŠุฑ ููŠ ุงู„ุจูŠุงู†ุงุช
804
+
805
+ 243
806
+ 00:26:05,350 --> 00:26:13,310
807
+ ูŠูุนุทูŠ ู†ุชุงุฆุฌ ู…ุถู„ู„ุฉุŒ ุงู„ุทุฑูŠู‚ุฉ
808
+
809
+ 244
810
+ 00:26:13,310 --> 00:26:16,750
811
+ ุงู„ุซุงู†ูŠุฉ ู‡ูŠ Normal Probability Plot
812
+
813
+ 245
814
+ 00:26:16,750 --> 00:26:20,830
815
+ Probability PlotุŒ ุงู„ุขู† ู„ุฃุดุฑุญ Normal
816
+
817
+ 246
818
+ 00:26:20,830 --> 00:26:24,050
819
+ Probability PlotุŒ ู†ุญุชุงุฌุŒ ุณุฃูุนุทูŠ ุจุนุถ ุงู„ุจูŠุงู†ุงุช
820
+
821
+ 247
822
+ 00:26:24,050 --> 00:26:28,010
823
+ ุงู„ู…ุชุนู„ู‚ุฉ ุจุงู„ุฅุญุตุงุกุŒ ูˆุจุนุฏูŠู† ุณุฃุดุฑุญ ูƒูŠู ู†ุนู…ู„ ุงู„ู€ plot ู‡ุฐุง
824
+
825
+ 248
826
+ 00:26:31,280 --> 00:26:38,120
827
+ ุณู†ุนุฑู ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุตุทู„ุญุŒ ุงู„ู„ูŠ ู‡ูˆ quantile
828
+
829
+ 249
830
+ 00:26:38,120 --> 00:26:40,040
831
+ ู…ุง ู‡ูˆ quantileุŸ
832
+
833
+ 250
834
+ 00:26:44,580 --> 00:26:48,860
835
+ Quantile is where a sample is divided into equal
836
+
837
+ 251
838
+ 00:26:48,860 --> 00:26:52,960
839
+ sized adjacent
840
+
841
+ 252
842
+ 00:26:52,960 --> 00:26:58,020
843
+ subgroupsุŒ ูŠุนู†ูŠ ู„ูˆ ูƒุงู† ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠู‘ุงู‹
844
+
845
+ 253
846
+ 00:27:04,980 --> 00:27:28,780
847
+ ู…ู…ูƒู† ุฃู‚ุณู… ุงู„ู€ area ุชุญุช ุงู„ู€ density function ุจุญูŠุซ
848
+
849
+ 254
850
+ 00:27:28,780 --> 00:27:37,140
851
+ ู‡ุฐู‡ A1ุŒ ุจูŠุณุชุฎุฏู… A2ุŒ A3ุŒ A4ุŒ ู‡ูƒุฐุงุŒ ู‡ุฐุง ู†ุณู…ูŠู‡ ุงู„ู€ first
852
+
853
+ 255
854
+ 00:27:37,140 --> 00:27:42,000
855
+ quantileุŒ ู‡ุฐุง ุงู„ู€ second... ุงู„ู€ first quantile ูŠุนู†ูŠ
856
+
857
+ 256
858
+ 00:27:42,000 --> 00:27:52,080
859
+ ุฃู† ุงู„ู€ area ุณุชู…ุซู„ ุงู„ู€ probability ุฃู† ุงู„ู€ X ุชูƒูˆู† ุฃู‚ู„
860
+
861
+ 257
862
+ 00:27:52,080 --> 00:27:53,120
863
+ ู…ู† ู‡ุฐู‡ X small
864
+
865
+ 258
866
+ 00:27:59,840 --> 00:28:05,020
867
+ ุจุนุฏ ุงู„ุจูŠุงู†ุงุชุŒ ุจุนุฏ ุงู„ุจูŠุงู†ุงุชุŒ ุจุนุฏ ุงู„ุจูŠุงู†ุงุชุŒ ูู‡ูŠ ุชู…ุซู„
868
+
869
+ 259
870
+ 00:28:05,020 --> 00:28:10,940
871
+ probability for X ุฃู‚ู„ ู…ู† X smallุŒ ู‡ุฐู‡ ุชูุญุฏุฏ ู…ูˆู‚ุน
872
+
873
+ 260
874
+ 00:28:10,940 --> 00:28:15,000
875
+ ุงู„ู€ first quantileุŒ ุงู„ู€ probability ุชูƒูˆู† ุฃู‚ู„ุŒ ู„ูˆ ูƒุงู†ุช
876
+
877
+ 261
878
+ 00:28:15,000 --> 00:28:21,280
879
+ X ู‡ู†ุงุŒ ุงู„ู€ probability ุฃู† X ุฃู‚ู„ ู…ู† X smallุŒ ุณุชู‚ูŠุณ ูƒู„
880
+
881
+ 262
882
+ 00:28:21,280 --> 00:28:25,760
883
+ ุงู„ู€ area ุนู„ู‰ ุงู„ูŠุณุงุฑุŒ ุณุชู‚ูŠุณ ูƒู„ ุงู„ู€ area ุนู„ู‰ ุงู„ูŠุณุงุฑ
884
+
885
+ 263
886
+ 00:28:28,360 --> 00:28:32,680
887
+ ู‡ุฐุง ุงู„ู€ second quantileุŒ ุงู„ู€ third quantileุŒ ู…ุนู†ุงุชู‡ ุงู„ู€
888
+
889
+ 264
890
+ 00:28:32,680 --> 00:28:36,640
891
+ quantileุŒ it is also referred to dividing a
892
+
893
+ 265
894
+ 00:28:36,640 --> 00:28:38,980
895
+ probability distribution into areas of equal
896
+
897
+ 266
898
+ 00:28:38,980 --> 00:28:42,720
899
+ probabilityุŒ ูŠุนู†ูŠ ุงู„ู€ area ู‡ุฐู‡ ุชูุณุงูˆูŠ ุงู„ู€ area ู‡ุฐู‡
900
+
901
+ 267
902
+ 00:28:42,720 --> 00:28:48,620
903
+ ุชูุณุงูˆูŠ ุงู„ู€ area ู‡ุฐู‡ุŒ ูŠุนู†ูŠ ุงุญุชู…ุงู„ ุฃู† ูŠูƒูˆู† x ุฃู‚ู„ ู…ู† x
904
+
905
+ 268
906
+ 00:28:48,620 --> 00:28:53,900
907
+ smallุŒ ู‡ูˆ ู†ูุณ ุงู„ุงุญุชู…ุงู„ ุฃู† ุงู„ู€ x ุจูŠู† x ู‡ุฐู‡ ูˆ x ู‡ุฐู‡ุŒ ู‡ูˆ
908
+
909
+ 269
910
+ 00:28:53,900 --> 00:29:00,030
911
+ ู†ูุณ ุงู„ุงุญุชู…ุงู„ ุจูŠู† x ู‡ุฐู‡ ูˆ x ู‡ุฐู‡ุŒ ูˆู‡ูƒุฐุงุŒ ูู†ุญู† ู†ู‚ุณู… ุงู„ู€
912
+
913
+ 270
914
+ 00:29:00,030 --> 00:29:12,690
915
+ density function ู„ู…ุณุงุญุงุช ู…ุชุณุงูˆูŠุฉุŒ ู…ุซู„ุงู‹
916
+
917
+ 271
918
+ 00:29:12,690 --> 00:29:16,150
919
+ ุฃู†ุง
920
+
921
+ 272
922
+ 00:29:16,150 --> 00:29:22,380
923
+ ู‡ู†ุง ู…ู‚ุณู‘ู… ู„ุนุดุฑ ุฃู‚ุณุงู…ุŒ ุนุดุฑ ู…ุณุงุญุงุชุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉ
924
+
925
+ 273
926
+ 00:29:22,380 --> 00:29:26,900
927
+ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡
928
+
929
+ 274
930
+ 00:29:26,900 --> 00:29:30,860
931
+ ู„ุฃู†
932
+
933
+ 275
934
+ 00:29:30,860 --> 00:29:33,460
935
+ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉ ุชูุณุงูˆูŠ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉุŒ ู„ุง ุจุฏ ุฃู† ู‡ุฐุง ุงู„ุนุฑุถ ูŠุฃุฎุฐ
936
+
937
+ 276
938
+ 00:29:33,460 --> 00:29:40,400
939
+ ู‚ู„ูŠู„ุงู‹ ู„ุฃู† ุงู„ุงุฑุชูุงุน ุฒุงุฏุŒ ุงู„ู…ุณุงุญุฉ ุชูุณุงูˆูŠ ุจุจุณุงุทุฉ ุทูˆู„ ููŠ
940
+
941
+ 277
942
+ 00:29:40,400 --> 00:29:44,980
943
+ ุงุฑุชูุงุนุŒ ู…ุถุฑูˆุจุŒ ู…ุณุงุญุฉุŒ ูˆู‡ุฐู‡ ุณุชุฃุฎุฐุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ุชู…ุซู„ ุงู„ู€
944
+
945
+ 278
946
+ 00:29:44,980 --> 00:29:50,150
947
+ first quantileุŒ ู‡ุฐุง ุงู„ู€ second quantileุŒ third
948
+
949
+ 279
950
+ 00:29:50,150 --> 00:29:59,530
951
+ quantileุŒ fourth quantileุŒ fifthุŒ sixthุŒ ูˆู‡ูƒุฐุงุŒ ูƒู„
952
+
953
+ 280
954
+ 00:29:59,530 --> 00:30:02,610
955
+ ู…ุณุงุญุฉุŒ ู…ุณุงุญุงุชุŒ ุงู„ู„ูŠ ุนู†ุฏูƒุŒ ูˆุนุดุฑ ู…ุณุงุญุงุช ุชู…ุซู„ ุนุดุฑ
956
+
957
+ 281
958
+ 00:30:02,610 --> 00:30:07,330
959
+ ุงู„ู…ุณุงุญุฉ ุชุญุช ู…ู†ุญู†ู‰ ุงู„ุชูˆุฒูŠุนุŒ ุชู…ุซู„ ุนุดุฑ ู…ุณุงุญุงุชุŒ ู„ุฃู†
960
+
961
+ 282
962
+ 00:30:07,330 --> 00:30:13,270
963
+ ู†ุณู…ูŠู‡ุง decileุŒ ู…ู† DCุŒ DCุŒ ุนุดุฑุฉุŒ ูŠุนู†ูŠ ููŠ ู‡ุฐู‡ ุงู„ุญุงู„ุฉ ู†ุณู…ูŠู‡ุง
964
+
965
+ 283
966
+ 00:30:13,270 --> 00:30:18,160
967
+ decileุŒ ุงู„ู€ quantile ุฌุงุก ู…ู†... ู…ู†... ู…ู†... ู…ู†
968
+
969
+ 284
970
+ 00:30:18,160 --> 00:30:24,660
971
+ ุงู„ู…ุตุทู„ุญ quantityุŒ quantityุŒ quantityุŒ quantileุŒ ูˆุฑุงุก ููŠ
972
+
973
+ 285
974
+ 00:30:24,660 --> 00:30:32,800
975
+ ุงู„ุขุฎุฑุŒ ู„ู† ุฃู„ุนุจ ููŠ ุงู„ุฌูˆุงู†ุจุŒ ุทูŠุจ
976
+
977
+ 286
978
+ 00:30:32,800 --> 00:30:38,940
979
+ ุฃู†ุง ู‡ู†ุง ู…ู‚ุณู‘ู… ู…ุณุงุญุงุชุŒ ุฃุฑุจุน ู…ุณุงุญุงุชุŒ ู‡ุฐู‡ ู…ุณุงุญุฉ
980
+
981
+ 287
982
+ 00:30:38,940 --> 00:30:45,550
983
+ ู…ุณุงุญุชูŠู†ุŒ ุซู„ุงุซุŒ ุฃุฑุจุนุŒ ุณู†ุณู…ูŠู‡ุง quartileุŒ ู…ู† quartile
984
+
985
+ 288
986
+ 00:30:45,550 --> 00:30:52,890
987
+ ู‡ุฐู‡ ู…ุซู„ ุงู„ู€ first quartileุŒ ุงู„ู€ second
988
+
989
+ 289
990
+ 00:30:52,890 --> 00:30:56,670
991
+ quartileุŒ ุงู„ู€ third quartileุŒ ูŠุนู†ูŠ below this value
992
+
993
+ 290
994
+ 00:30:56,670 --> 00:31:03,370
995
+ below this valueุŒ ุฑุจุน ุงู„ุจูŠุงู†ุงุช ูŠูƒูˆู† ูˆุงู‚ุน ุชุญุช ุงู„ู€
996
+
997
+ 291
998
+ 00:31:03,370 --> 00:31:08,530
999
+ value ู‡ุฐู‡ุŒ below this valueุŒ ู†ุตู ุงู„ุจูŠุงู†ุงุชุŒ below this
1000
+
1001
+ 292
1002
+ 00:31:08,530 --> 00:31:10,830
1003
+ valueุŒ ุซู„ุงุซุฉ ุฃุฑุจุงุน ุงู„ุจูŠุงู†ุงุช
1004
+
1005
+ 293
1006
+ 00:31:20,260 --> 00:31:27,640
1007
+ ุงู„ู€ median is a quantileุŒ ุงู„ู€ medianุŒ ุฃู†ุง ุฃุญูƒูŠ median
1008
+
1009
+ 294
1010
+ 00:31:27,640 --> 00:31:31,080
1011
+ ู‡ุฐุง
1012
+
1013
+ 295
1014
+ 00:31:31,080 --> 00:31:35,540
1015
+ ุงู„ู€ medianุŒ ู‡ุฐุง ุงู„ู€ medianุŒ ูŠุนู†ูŠ ู†ุตู ุงู„ุจูŠุงู†ุงุช ุฌู‡ุฉ ุงู„ูŠุณุงุฑ
1016
+
1017
+ 296
1018
+ 00:31:35,540 --> 00:31:40,960
1019
+ ุฃุนู„ู‰ุŒ ูˆู†ุตู ุงู„ุจูŠุงู†ุงุช ุฌู‡ุฉ ุงู„ูŠู…ูŠู†ุŒ ุงู„ู€ median
1020
+
1021
+ 297
1022
+ 00:31:40,960 --> 00:31:46,070
1023
+ ุจุงู„ู…ู†ุงุณุจุฉุŒ ุบูŠุฑ ุงู„ู€... ุบูŠุฑ ุงู„ู€... ุงู„ู€ meanุŒ ุงู„ู€ median ุบูŠุฑ
1024
+
1025
+ 298
1026
+ 00:31:46,070 --> 00:31:50,310
1027
+ ุงู„ู€ meanุŒ ุงู„ู€ median ูŠุญูƒูŠ ุนู† ุงู„ู€ average of ู‚ูŠู… ุงู„ู€
1028
+
1029
+ 299
1030
+ 00:31:50,310 --> 00:31:56,170
1031
+ dataุŒ ู‡ู†ุง ูŠุญูƒูŠ ุนู† ุนุฏุฏ ุงู„ู€ dataุŒ ุนุฏุฏ ุงู„ู‚ุฑุงุกุงุชุŒ ูŠุนู†ูŠ ุงู„ู€
1032
+
1033
+ 300
1034
+ 00:31:56,170 --> 00:31:59,550
1035
+ medianุŒ ุฎู…ุณุฉ ููŠ ุงู„ู…ุงุฆุฉ ู…ู† ุงู„ู‚ุฑุงุกุงุช ุชุฃุชูŠ ุนู„ู‰ ู…ุงุฐุงุŸ
1036
+
1037
+ 301
1038
+ 00:31:59,550 --> 00:32:03,450
1039
+ ุนู„ู‰ ูŠุณุงุฑู‡ุงุŒ ุฎู…ุณุฉ ููŠ ุงู„ู…ุงุฆุฉ ุชุฃุชูŠ ุนู„ู‰ ูŠู…ูŠู†ู‡ุงุŒ ู‡ุฐุง ุงู„ู€
1040
+
1041
+ 302
1042
+ 00:32:03,450 --> 00:32:09,870
1043
+ medianุŒ ูู†ุณู…ูŠ ุงู„ู€ median is a quantileุŒ ู„ุฃู†ู‡ ูŠู‚ุณู…
1044
+
1045
+ 303
1046
+ 00:32:09,870 --> 00:32:13,870
1047
+ ู…ุณุงุญุฉ ู„ู…ุณุงุญุชูŠู†ุŒ ู†ุณู…ูŠู‡ ุงู„ู€ two quantileุŒ ุงู„ู€ two
1048
+
1049
+ 304
1050
+ 00:32:13,870 --> 00:32:19,910
1051
+ quantile
1052
+
1053
+ 305
1054
+ 00:32:19,910 --> 00:32:26,710
1055
+ ู‡ู†ุฏูŠูƒ ู‡ู†ุง ูƒูˆุงุฑุชุงูŠู„ุŒ ูƒูˆุงุฑุชุงูŠู„ุŒ ู‡ู†ุฏูŠูƒ ู‡ู†ุง ุชุฌุฑุจุฉุŒ ุงุฎุฐู†ุง
1056
+
1057
+ 306
1058
+ 00:32:26,710 --> 00:32:34,350
1059
+ ู‚ุฑุงุกุงุช ุฃูŠ ุชุฌุฑุจุฉุŒ ุนู†ุฏ ู‚ูŠู…ุฉ ุงู„ู‚ุฑุงุกุฉุŒ ุทู„ุนุช ุงุซู†ูŠู†ุŒ ูˆุฃุฑุจุนุฉ
1060
+
1061
+ 307
1062
+ 00:32:34,350 --> 00:32:39,570
1063
+ ูˆุฃุฑุจุนุฉุŒ ูˆุฎู…ุณุฉุŒ ูˆุณุชุฉุŒ ูˆุณุจุนุฉุŒ ูˆุซู…ุงู†ูŠุฉุŒ ู‡ุฐู‡ ู‚ูŠู…ุฉ
1064
+
1065
+ 308
1066
+ 00:32:39,570 --> 00:32:45,370
1067
+ ุงู„ู‚ุฑุงุกุงุชุŒ ุงู„ู‚ุฑุงุกุงุช ุงู„ุฃูˆู„ู‰ุŒ ุทุจุนุงู‹ ู…ุฑุชุจุฉ ุชุฑุชูŠุจ ุชุตุงุนุฏูŠ
1068
+
1069
+ 309
1070
+ 00:32:45,370 --> 00:32:51,830
1071
+ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ูˆุงุญุฏุŒ ู‡ุฐู‡ุŒ ุงู„ู„ูŠ ู‡ูŠ ุงุซู†ูŠู†ุŒ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู…
1072
+
1073
+ 310
1074
+ 00:32:51,830 --> 00:32:56,190
1075
+ ุงุซู†ูŠู†ุŒ ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉุŒ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ุซู„ุงุซุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ุฃุฑุจุนุฉ
1076
+
1077
+ 311
1078
+ 00:32:56,190 --> 00:33:00,870
1079
+ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ุฎู…ุณุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ู‚ูŠู…ุชู‡ุง ุฎู…ุณุฉุŒ ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู…
1080
+
1081
+ 312
1082
+ 00:33:00,870 --> 00:33:05,270
1083
+ ุณุชุฉุŒ ู‚ูŠู…ุชู‡ุง ุณุชุฉุŒ ู‡ูŠ ุณุชุฉุŒ ุณุจุนุฉุŒ ุซู…ุงู†ูŠุฉุŒ ูˆู‡ูƒุฐุงุŒ ู„ุงุญุธูˆุง
1084
+
1085
+ 313
1086
+ 00:33:05,270 --> 00:33:11,460
1087
+ ุงู„ุฎู…ุณุฉุŒ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ู‚ูŠู…ุชู‡ุง ุฎู…ุณุฉุŒ ุชุฃุชูŠ ููŠ ุงู„ู…ู†ุชุตูุŒ ูŠุนู†ูŠ ููŠ
1088
+
1089
+ 314
1090
+ 00:33:11,460 --> 00:33:17,700
1091
+ ุซู„ุงุซ ู‚ุฑุงุกุงุช ุนู„ู‰ ูŠุณุงุฑู‡ุงุŒ ูˆููŠ ุซู„ุงุซ ู‚ุฑุงุกุงุช ุนู„ู‰ ูŠู…ูŠู†ู‡ุง
1092
+
1093
+ 315
1094
+ 00:33:17,700 --> 00:33:23,220
1095
+ ู…ุงุฐุง ุฃูุฑูŠุฏ ุฃู† ุฃุณู…ูŠู‡ุงุŸ ุงู„ู€ median ุฃูˆ ุงู„ู€ middle quartile
1096
+
1097
+ 316
1098
+ 00:33:23,220 --> 00:33:30,220
1099
+ middle quartile ุฃูˆ ุงู„ู€ medianุŒ ู‡ุฐุง ุงู„ู€ first quartile
1100
+
1101
+ 317
1102
+ 00:33:30,220 --> 00:33:39,040
1103
+ first quartileุŒ ุฃู†ุง ุนู†ุฏูŠ ู‡ู†ุงุŒ ุนู†ุฏูƒุŒ ู„ูˆ ูˆุฒุนุชู‡ุงุŒ ุฃุฑุจุนุฉ
1104
+
1105
+ 318
1106
+ 00:33:39,040 --> 00:33:44,060
1107
+ ุนู†ุฏูƒ ุฃุฑุจุน ุจูŠุงู†ุงุช ุชุฃุชูŠ ุนู„ู‰ ุงู„ูŠุณุงุฑุŒ ุนู†ุฏ ุงู„ู€ upper
1108
+
1109
+ 319
1110
+ 00:33:44,060 --> 00:33:48,300
1111
+ quartileุŒ ุฃูˆ ุงู„ู€ third quartileุŒ ุนู†ุฏูƒ ู‚ุฑุงุกุงุชุŒ ูˆ
1112
+
1113
+ 320
1114
+ 00:33:48,300 --> 00:33:54,420
1115
+ ู‚ุฑุงุกุงุชุŒ ู„ุฏูŠู†ุง ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉ
1116
+
1117
+ 321
1118
+ 00:33:54,420 --> 00:34:00,450
1119
+ ุทุจุนุงู‹ ู‡ู†ุงุŒ ุงู„ู…ูุฑูˆุถ ุฃู† ูŠุจุฏุฃ ู…ู† ู…ุงุฐุงุŸ ุณุงู„ุจ ู…ุงู„ุงู†ู‡ุงูŠุฉุŒ ูู‡ุฏุง
1120
+
1121
+ 322
1122
+ 00:34:00,450 --> 00:34:03,630
1123
+ ุงู„ู€ first quartileุŒ ู‡ุฐุง ุงู„ู€ second quartileุŒ ุฃูˆ ุงู„ู€
1124
+
1125
+ 323
1126
+ 00:34:03,630 --> 00:34:11,870
1127
+ medianุŒ ู‡ุฐุง ุงู„ู€ thirdุŒ ุฃูˆ ุงู„ู€ upper quartileุŒ ุงู„ู€
1128
+
1129
+ 324
1130
+ 00:34:11,870 --> 00:34:21,070
1131
+ percentilesุŒ ุฃุนู…ู„ ู…ุฆุฉ ุชู‚ุณูŠู…ุฉุŒ ู…ู† percentุŒ ุฃุนู…ู„ ู…ุฆุฉ
1132
+
1133
+ 325
1134
+ 00:34:21,070 --> 00:34:21,810
1135
+ ุชู‚ุณูŠู…ุฉ
1136
+
1137
+ 326
1138
+ 00:34:24,550 --> 00:34:29,270
1139
+ ูŠุนู†ูŠ ุงู„ู€ distribution function ูŠููˆุฒู‘ุน ุงู„ู…ุณุงุญุฉ
1140
+
1141
+ 327
1142
+ 00:34:29,270 --> 00:34:40,230
1143
+ ูŠูู‚ุณู…ู‡ุง ุนู„ู‰ ู…ุฆุฉุŒ ูƒู„ ุงู„ู…ุณุงุญุงุช ู…ุชุณุงูˆูŠุฉ ู‡ู†ุง
1144
+
1145
+ 328
1146
+ 00:34:40,230 --> 00:34:47,650
1147
+ ุงู„ู…ุซุงู„ุŒ ุงู„ู€ decile ุนู†ุฏูŠุŒ ู‡ุฐุง ู…ูุจูŠู† ู…ุซู„ distribution
1148
+
1149
+ 329
1150
+ 00:34:47,650 --> 00:34:58,820
1151
+ ู…ู„ูˆู‘ู†ุŒ ู„ู† ู†ุนุฏู‘ุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉ
1152
+
1153
+ 330
1154
+ 00:34:58,820 --> 00:35:04,920
1155
+ ุซู…ุงู†ูŠุฉุŒ ุชุณุนุฉุŒ ุนุดุฑุŒ ุนุดุฑ ู…ุณุงุญุงุชุŒ ู‡ุฐุง ุงู„ู€ distribution
1156
+
1157
+ 331
1158
+ 00:35:04,920 --> 00:35:10,500
1159
+ functionุŒ ู…ู‚ุณู‘ู… ู„ุนุดุฑ ู…ุณุงุญุงุชุŒ each of these areas
1160
+
1161
+ 332
1162
+ 00:35:10,500 --> 00:35:13,100
1163
+ ู‡ุฐู‡ ุงู„ู€ area ุชูุณุงูˆูŠ ู‡ุฐู‡ุŒ ู„ูˆ ุนุฏู‘ูŠุช ุงู„ู…ุฑุจุนุงุช ุงู„ุตุบูŠุฑุฉ ู‡ุฐู‡
1164
+
1165
+ 333
1166
+ 00:35:13,100 --> 00:35:16,860
1167
+ ุณุชุณุงูˆูŠ ู†ูุณ ุนุฏุฏ ุงู„ู…ุฑุจุนุงุช ู‡ุฐู‡ุŒ ู…ุนู†ุงู‡ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ ุชูุณุงูˆูŠ
1168
+
1169
+ 334
1170
+ 00:35:16,860 --> 00:35:19,540
1171
+ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ุŒ ู‡ุฐู‡ ุชูุณุงูˆูŠ ู‡ุฐู‡ ุงู„ู…ุณุงุญุฉุŒ ูˆู‡ูƒุฐุง
1172
+
1173
+ 335
1174
+ 00:35:29,560 --> 00:35:39,660
1175
+ ูู„ุงุญุธูˆุงุŒ ู‡ูˆ ูŠู‚ุณู…ุŒ ุญุงุทู‘ุŒ ุญุงุทู‘ ููŠ ุงู„ุจูŠุงู†ุงุชุŒ ูŠุนู†ูŠ
1176
+
1177
+ 336
1178
+ 00:35:39,660 --> 00:35:42,540
1179
+ ู…ุซู„ุงู‹ุŒ ู‡ุฐู‡ุŒ ุนุดุฑุฉุŒ ุนุดุฑูŠู†ุŒ ุซู„ุงุซูŠู†ุŒ ุฃุฑุจุนูŠู†ุŒ ุฎู…ุณูŠู†ุŒ ุณุชูŠู†
1180
+
1181
+ 337
1182
+ 00:35:42,540 --> 00:35:48,100
1183
+ ุฅู„ู‰ ู…ุฆุฉุŒ ุนุดุฑุงุชุŒ ูููƒุฑุฉ
1184
+
1185
+ 338
1186
+ 00:35:48,100 --> 00:35:52,520
1187
+ ุงู„ู€ quantileุŒ ุฃู†ุง ุฃู‚ุณู‘ู… ุงู„ู€ density of relative
1188
+
1189
+ 339
1190
+ 00:35:52,520 --> 00:35:58,990
1191
+ function ู„ู…ุณุงุญุงุช ู…ุชุณุงูˆูŠุฉุŒ ุงู„ู€ first quantile ุฃูˆ
1192
+
1193
+ 340
1194
+ 00:35:58,990 --> 00:36:01,870
1195
+ second quantile ุฃูˆ third quantileุŒ ูŠู…ุซู„ ุงู„ู€ first
1196
+
1197
+ 341
1198
+ 00:36:01,870 --> 00:36:09,550
1199
+ quantileุŒ ูŠู…ุซู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ probability ุฃู† x ุฃู‚ู„ ู…ู†
1200
+
1201
+ 342
1202
+ 00:36:09,550 --> 00:36:14,790
1203
+ some specified xุŒ some specified xุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู€
1204
+
1205
+ 343
1206
+ 00:36:14,790 --> 00:36:20,210
1207
+ quantileุŒ ุงู„ุขู†
1208
+
1209
+ 344
1210
+ 00:36:20,210 --> 00:36:28,860
1211
+ ููŠ ุงู„ู€ standardุŒ ููŠ ุงู„ู€ standardุŒ ุงู„ู€ probability
1212
+
1213
+ 345
1214
+ 00:36:28,860 --> 00:36:35,340
1215
+ density functionุŒ ุงู„ู€ standardุŒ ู†ุญู† ู‚ู„ู†ุง ุงู„ู„ูŠ ู‡ูˆ z
1216
+
1217
+ 346
1218
+ 00:36:35,340 --> 00:36:47,560
1219
+ ูŠุณุงูˆูŠ x ู†ุงู‚ุต ฮผ ุนู„ู‰ ฯƒุŒ ู„ุฃุฌุนู„ ุงู„ู€ mean value
1220
+
1221
+ 347
1222
+ 00:36:47,560 --> 00:36:52,000
1223
+ ุตูุฑุŒ ุตุญูŠุญุŸ ููŠูƒูˆู† ุดูƒู„ู‡ ุฒูŠ ู‡ูŠูƒ
1224
+
1225
+ 348
1226
+ 00:37:00,780 --> 00:37:04,720
1227
+ ู‡ุฐุง ุงู„ู€ standardุŒ ู‡ูˆ
1228
+
1229
+ 349
1230
+ 00:37:04,720 --> 00:37:09,260
1231
+ ุนุงุฑููŠู†ุŒ ุฅุฐุง followed this oneุŒ ู…ุนู†ุงุชู‡ if it is
1232
+
1233
+ 350
1234
+ 00:37:09,260 --> 00:37:13,420
1235
+ exactlyุŒ ุฅุฐุง ูŠุชุจุน ู…ุฆุฉ ููŠ ุงู„ู…ุงุฆุฉ ุชูˆุฒูŠุน
1236
+
1237
+ 351
1238
+ 00:37:13,420 --> 00:37:17,320
1239
+ ู‡ุฐุงุŒ ู…ุนู†ุงุชู‡ ู…ุฆุฉ ููŠ ุงู„ู…ุงุฆุฉ normalุŒ ู„ูŠุณ ู…ุด ู…ุฆุฉ ููŠ
1240
+
1241
+ 352
1242
+ 00:37:17,320 --> 00:37:23,540
1243
+ ุงู„ู…ุงุฆุฉ normalุŒ ู„ูƒู† ู„ูˆ if it follows this oneุŒ ุณุชูƒูˆู†
1244
+
1245
+ 353
1246
+ 00:37:23,540 --> 00:37:29,640
1247
+ ู…ุงุฐุงุŸ ุณุชูƒูˆู†ุŒ ุงู„ู„ูŠ ู‡ูˆ ู…ุงุฐุงุŸ normal distribution
1248
+
1249
+ 354
1250
+ 00:37:31,240 --> 00:37:34,140
1251
+ ู‡ุฐุง ุงู„ู€ standardุŒ ุฃูŠ ู…ุชุบูŠุฑ ุขุฎุฑุŒ ุฃูŠ
1252
+
1253
+ 355
1254
+ 00:37:34,140 --> 00:37:41,840
1255
+ ู…ุชุบูŠุฑ ุขุฎุฑ ูŠุชุจุน ุชู…ุงู…ุงู‹ ุชูˆุฒูŠุนุงู‹ ุทุจูŠุนูŠุงู‹
1256
+
1257
+ 356
1258
+ 00:37:41,840 --> 00:37:47,660
1259
+ ุณูŠูƒูˆู† ุฃูŠุถุงู‹ ู‡ูƒุฐุง ุดูƒู„ู‡ุŒ ูŠุนู†ูŠ
1260
+
1261
+ 357
1262
+ 00:37:47,660 --> 00:37:50,940
1263
+ ู‡ุฐุง ุงู„ู€ ordinateุŒ ู†ูุณ ู‡ุฐุง ุงู„ู€ ordinateุŒ ู„ูˆ ู‚ู„ู†ุง ู‡ุฐุง ุงู„ู€
1264
+
1265
+ 358
1266
+ 00:37:50,940 --> 00:37:58,420
1267
+ zุŒ ู‡ุฐุง z ูˆุงุญุฏุŒ ู‡ุฐุง z ุงุซู†ูŠู†ุŒ z ุซู„ุงุซุฉุŒ z ุฃุฑุจุนุฉุŒ ููŠ
1268
+
1269
+ 359
1270
+ 00:37:58,420 --> 00:38:03,850
1271
+ ุงู„ุฃุฎุฑุŒ ุฃู†ุง ุนู…ู„ุช ู„ู‡ ุชุทุจูŠุนุงู‹ุŒ ุณูŠูƒูˆู† ู†ูุณ ุงู„ู€ z ุฒูŠ
1272
+
1273
+ 360
1274
+ 00:38:03,850 --> 00:38:08,010
1275
+ ูˆุงุญุฏุŒ ุฒูŠ ุงุซู†ูŠู†ุŒ ุฒูŠ ุซู„ุงุซุฉุŒ ุฒูŠ ุฃุฑุจุนุฉุŒ ุงู„ู‚ุฑุงุกุฉ ุจุชุงุนุชูŠ
1276
+
1277
+ 361
1278
+ 00:38:08,010 --> 00:38:11,230
1279
+ ูŠุนู†ูŠ
1280
+
1281
+ 362
1282
+ 00:38:11,230 --> 00:38:15,610
1283
+ ู‡ุฐุง ุงู„ู€ standardุŒ ูˆู‡ุฐุง some variableุŒ if it is one
1284
+
1285
+ 363
1286
+ 00:38:15,610 --> 00:38:18,630
1287
+ hundred percent follows a normal distribution
1288
+
1289
+ 364
1290
+ 00:38:18,630 --> 00:38:24,130
1291
+ ุณุชุนุทูŠู†ูŠ ู†ูุณ ุงู„ู€ zุŒ ูŠุนู†ูŠ ู„ูˆ ุนู…ู„ุช plotุŒ z ู‡ุฐู‡ ุงู„ู‚ุฑุงุกุฉ
1292
+
1293
+ 365
1294
+ 00:38:24,130 --> 00:38:28,410
1295
+ ุงู„ุชูŠ ุนู…ู„ุชู‡ุง ู…ุน z ุชุงุนูŠ normalุŒ ุณุชุนุทูŠู†ูŠ ุฎุท ุฒูŠ ู‡ูŠูƒ
1296
+
1297
+ 366
1298
+ 00:38:30,690 --> 00:38:42,590
1299
+ ุฒุงูˆูŠุฉ 45ุŒ ุฒุงูˆูŠุฉ 45ุŒ ุฒุงูˆูŠุฉ
1300
+
1301
+ 367
1302
+ 00:38:42,590 --> 00:38:46,150
1303
+ 45ุŒ ุฒุงูˆูŠุฉ 45ุŒ ุฒุงูˆูŠุฉ 45
1304
+
1305
+ 368
1306
+ 00:38:46,150 --> 00:38:51,250
1307
+ ุฒุงูˆูŠุฉ 45ุŒ ุฒุงูˆูŠุฉ 45ุŒ ุฒุงูˆูŠุฉ 45
1308
+
1309
+ 369
1310
+ 00:38:51,250 --> 00:38:58,340
1311
+ 45ุŒ ุณุฃุนู…ู„ normalุŒ ุณุฃุฑู‰ุŒ ุณุฃุญุณุจ ุงู„ู€ z values ู„ู„ู€
1312
+
1313
+ 370
1314
+ 00:38:58,340 --> 00:39:03,020
1315
+ standardุŒ ูˆุงู„ู€ z values ู„ู„ู€ actual experimental data
1316
+
1317
+ 371
1318
+ 00:39:03,020 --> 00:39:07,800
1319
+ ูˆุณุฃุนู…ู„ plotุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ู… ุฎุทูŠุฉุŒ ู…ุนู†ุงุชู‡ุŒ ุฃูˆ
1320
+
1321
+ 372
1322
+ 00:39:07,800 --> 00:39:11,640
1323
+ ุชู‚ุฑูŠุจุงู‹ ุฎุทูŠุฉุŒ ู…ุนู†ุงุชู‡ ูŠูƒูˆู† ุงู„ุชูˆุฒูŠุน ุทุจูŠุนูŠุงู‹
1324
+
1325
+ 373
1326
+ 00:39:11,640 --> 00:39:16,580
1327
+ ุงู„ุขู†
1328
+
1329
+ 374
1330
+ 00:39:16,580 --> 00:39:26,420
1331
+ ุงู„ู…ุจุฏุฃ ูˆุงุถุญุŒ ุงู„ู…ุจุฏุฃ ูˆุงุถุญุŒ ุงู„ุขู†ุŒ how to draw a
1332
+
1333
+ 375
1334
+ 00:39:26,420 --> 00:39:33,640
1335
+ normal probability plotุŒ ุฃูˆู„ ุฎุทูˆุฉุŒ ุฃู† ุชุนู…ู„ ุชุฌุฑุจุฉ
1336
+
1337
+ 376
1338
+ 00:39:33,640 --> 00:39:38,220
1339
+ ุชุฌูŠุจุŒ ุฃู†ูƒ ุงู„ุจูŠุงู†ุงุช ุงู„ุฎุงู…ุŒ ุงู„ุจูŠุงู†ุงุช ุงู„ุฎุงู…ุŒ ุชุนู…ู„ ู„ู‡ุง
1340
+
1341
+ 377
1342
+ 00:39:38,220 --> 00:39:41,780
1343
+ sorting in ascending orderุŒ ุชุฑุชุจู‡ุง ุชุฑุชูŠุจ ุชุตุงุนุฏูŠ
1344
+
1345
+ 378
1346
+ 00:39:41,780 --> 00:39:45,760
1347
+ ุงู„ุจูŠุงู†ุงุชุŒ ุจุชุงุนุชูƒุŒ ู„ุณุชู ุฃู‚ูŠุณ ุงู„ุทูˆู„ุŒ ูˆููŠ ุนู†ุฏูŠ
1348
+
1349
+ 379
1350
+ 00:39:45,760 --> 00:39:51,750
1351
+ variationุŒ ุฃุฑุชุจู‡ุง ุชุฑุชูŠุจ ุชุตุงุนุฏูŠุŒ ุฃุฑุชุจ ุงู„ุฑู‚ู… ูˆุงุญุฏุŒ ุฃุฑุชุจ
1352
+
1353
+ 380
1354
+ 00:39:51,750 --> 00:39:59,310
1355
+ ุงู„ุจูŠุงู†ุงุช ุชุฑุชูŠุจ ุชุตุงุนุฏูŠุŒ ุจุนุฏูŠู† ุฃุฑู‚ู…ู‡ุง ู…ู† ูˆุงุญุฏุŒ ู„ุฃู† ู…ุซู„ุงู‹
1356
+
1357
+ 381
1358
+ 00:39:59,310 --> 00:40:02,830
1359
+ ุฃุฎุฐุช ู…ุฆุฉ ู‚ุฑุงุกุฉุŒ ุฃูˆู„ ู‚ุฑุงุกุฉุŒ ุงู„ู„ูŠ ู‡ูŠ ุฃู‚ู„ ู‚ุฑุงุกุฉุŒ ุฃุนุทูŠู‡ุง
1360
+
1361
+ 382
1362
+ 00:40:02,830 --> 00:40:08,190
1363
+ ุงู„ุฑู‚ู… ูˆุงุญุฏุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ุณุชุฉุŒ ุณุจุนุฉุŒ ุฅู„ู‰
1364
+
1365
+ 383
1366
+ 00:40:08,190 --> 00:40:12,010
1367
+ ุฃู† ุฃุตู„ ุฅู„ู‰ ุขุฎุฑ ู‚ุฑุงุกุฉุŒ ูŠุนู†ูŠ ุฃุนู…ู„ ุชุฑู‚ูŠู… ู„ู„ุจูŠุงู†ุงุช
1368
+
1369
+ 384
1370
+ 00:40:14,520 --> 00:40:17,840
1371
+ ุจุนุฏูŠู†ุŒ calculate ุงู„ู€ cumulative probability
1372
+
1373
+ 385
1374
+ 00:40:17,840 --> 00:40:23,000
1375
+ cumulative probability
1376
+
1377
+ 386
1378
+ 00:40:23,000 --> 00:40:37,280
1379
+ ุฅุฐุง ุนู†ุฏูŠ distribution function ุฒูŠ ู‡ุฐู‡ุŒ ู‡ุฐู‡
1380
+
1381
+ 387
1382
+ 00:40:37,280 --> 00:40:42,780
1383
+ ุฃูˆู„ ู‚ุฑุงุกุฉุŒ ู‡ุฐู‡ ุซุงู†ูŠ ู‚ุฑุงุกุฉุŒ ู‡ุฐู‡ m
1384
+
1385
+ 388
1386
+ 00:40:42,780 --> 00:40:51,480
1387
+ ู‚ุฑุงุกุฉุŒ ุฃู†ุง ุฃุญูƒูŠ ุนู† ุฑู‚ู… ุงู„ู‚ุฑุงุกุฉ ุงู„ู€
1388
+
1389
+ 389
1390
+ 00:40:51,480 --> 00:41:01,680
1391
+ probability ุฃู† xุŒ ู‚ูŠู…ุฉ ุงู„ู‚ุฑุงุกุฉุŒ ุชูƒูˆู† ุฃู‚ู„ ู…ู† ู‚ูŠู…ุฉ
1392
+
1393
+ 390
1394
+ 00:41:01,680 --> 00:41:09,480
1395
+ ุงู„ู‚ุฑุงุกุฉ ุงู„ู„ูŠ ุฑู‚ู…ู‡ุง iุŒ ู…ุซู„ุงู‹ x1ุŒ ุตุญูŠุญุŸ ุณุชูƒูˆู† ุงู„ู€
1396
+
1397
+ 391
1398
+ 00:41:09,480 --> 00:41:11,260
1399
+ integral ู…ู† ุณุงู„ุจ ู…ุงู„ุงู†ู‡ุงูŠุฉ
1400
+
1401
+ 392
1402
+ 00:41:13,690 --> 00:41:22,070
1403
+ ุฅู„ู‰ x ูˆุงุญุฏุŒ ู„ู€ F of XุŒ DX
1404
+
1405
+ 393
1406
+ 00:41:22,070 --> 00:41:27,930
1407
+ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ุณุงุญุฉ ู‡ุฐู‡ุŒ ุงู„ู…ุณุงุญุฉ
1408
+
1409
+ 394
1410
+ 00:41:27,930 --> 00:41:35,510
1411
+ ู‡ุฐู‡ุŒ ุทูŠุจุŒ ุงู„ู€ probability ุฃู† ู‚ูŠู…ุฉ ุงู„ู€ variable X ุชูƒูˆู†
1412
+
1413
+ 395
1414
+ 00:41:35,510 --> 00:41:47,210
1415
+ ุฃู‚ู„ ู…ู† x ุงุซู†ูŠู†ุŒ ู‡ูŠ ุงู„ุชูƒุงู…ู„ ู…ู† ุณุงู„ุจ ู…ุงู„ุงู†ู‡ุงูŠุฉ ุฅู„ู‰ x2ุŒ ู„ู€ F
1416
+
1417
+ 396
1418
+ 00:41:47,210 --> 00:41:49,770
1419
+ of XุŒ DX
1420
+
1421
+ 397
1422
+ 00:41:51,020 --> 00:41:56,780
1423
+ ูŠุนู†ูŠ ู†ุญู† ุฃูŠุถุงู‹ุŒ ุชุณุงูˆูŠ ุงู„ุชูƒุงู…ู„ ู…ู† ุณุงู„ุจ
1424
+
1425
+ 445
1426
+ 00:46:27,690 --> 00:46:29,770
1427
+ ุณุชุฉ ูˆุณุจุนูŠู† ูˆุฃุนู„ู‰ ู‚ูŠู…ุฉ ูˆู…ุงุฆุฉ ูˆุซู„ุงุซุฉ ูˆุนุดุฑูŠู†
1428
+
1429
+ 446
1430
+ 00:46:29,770 --> 00:46:36,850
1431
+ ู…ุฑุชุจ ุชุฑุชูŠุจ ุชุตุงุนุฏูŠุŒ ุงู„ุฎุทูˆุฉ ุงู„ุจุนุฏูŠุฉุŒ ุฃูŠุด ุฑู‚ู… ุงู„ุจูŠุงู†ุงุชุŸ
1432
+
1433
+ 447
1434
+ 00:46:36,850 --> 00:46:40,570
1435
+ ู‡ุฐู‡
1436
+
1437
+ 448
1438
+ 00:46:40,570 --> 00:46:45,550
1439
+ ุงู„ุจูŠุงู†ุงุชุŒ ุงู„ู‚ุฑุงุกุฉ ุฑู‚ู… ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ ุซู„ุงุซุฉุŒ ุฃุฑุจุนุฉุŒ ุฎู…ุณุฉุŒ ู„ุญุฏ
1440
+
1441
+ 449
1442
+ 00:46:45,550 --> 00:46:53,770
1443
+ ุนุดุฑุฉ. ุนู†ุฏ ุนุดุฑุฉ ู‚ุฑุงุกุงุชุŒ ุฑู‚ู… ุซู„ุงุซุฉุŒ ุงุญุณุจ ุงู„ู€ cumulative
1444
+
1445
+ 450
1446
+ 00:46:56,490 --> 00:47:01,550
1447
+ combined probabilityุŒ ูŠุนู†ูŠ ุงุญุณุจ ุงุญุชู…ุงู„ูŠุฉ ุฃู† ุฃ
1448
+
1449
+ 451
1450
+ 00:47:01,550 --> 00:47:05,930
1451
+ ุงู„ู„ูŠ ุณูˆูŠุชู‡ ู„ู…ุง ุญูƒูŠุช ุนุดุฑุฉ ู‚ุฑุงุกุงุชุŒ ู…ุนู†ุงู‡ ุชู‚ุณู…ุช ุงู„ู€
1452
+
1453
+ 452
1454
+ 00:47:05,930 --> 00:47:11,290
1455
+ probability distribution function ุฅู„ู‰ ุนุดุฑุฉ ู…ุณุงุญุงุชุŒ ุนุดุฑุฉ
1456
+
1457
+ 453
1458
+ 00:47:11,290 --> 00:47:22,580
1459
+ ู…ุณุงุญุงุชุŒ ูุงู„ู€ FI ุงู„ู„ูŠ ู‡ูŠ ุงุญุชู…ุงู„ ุฃู†ุŒ ุงุญุชู…ุงู„ ุฃู† ุงู„ู‚ุฑุงุกุฉ
1460
+
1461
+ 454
1462
+ 00:47:22,580 --> 00:47:29,380
1463
+ ุงู„ู€ observed ุชูƒูˆู† ุฃู‚ู„ ู…ู† ุงู„ู‚ุฑุงุกุฉ ุงู„ุฃูˆู„ู‰ุŒ ุชุทู„ุน ู†ุตู
1464
+
1465
+ 455
1466
+ 00:47:29,380 --> 00:47:34,740
1467
+ ู…ู† ุฃูŠู† ุญุณุจุชู‡ุงุŸ ูู‡ูŠ ุงู„ู€ FIุŒ ูŠุนู†ูŠ I ู†ุงู‚ุต AุŒ ุนู„ูŠ ุฃู†ุฒู„
1468
+
1469
+ 456
1470
+ 00:47:34,740 --> 00:47:39,600
1471
+ ูˆุงุญุฏุŒ ู†ุงู‚ุต ุงุซู†ูŠู†ุŒ ูŠุนู†ูŠ ู‡ูˆ ูˆุงุถุญ ุงู„ู„ูŠ ุณูˆูŠุชู‡ ุฃู†ุง ุฃู†
1472
+
1473
+ 457
1474
+ 00:47:39,600 --> 00:47:42,640
1475
+ ุงู„ุนุดุฑุฉุŒ ุฑุฌุนุช ุงู„ุญุฏูˆุฏุŒ ูุงุนุชุจุฑุช ุงุดุชุบู„ุช ุงู„ุทุฑูŠู‚ุฉ ุงู„ุซุงู†ูŠุฉ
1476
+
1477
+ 458
1478
+ 00:47:42,640 --> 00:47:50,160
1479
+ ุงู„ุนุดุฑุฉุŒ ุฑุฌุนุช ุงู„ุญุฏูˆุฏุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ FI ู‡ุชูƒูˆู† ุชุณุงูˆูŠ I ู†ุงู‚ุต
1480
+
1481
+ 459
1482
+ 00:47:50,160 --> 00:48:01,650
1483
+ ู†ุต ุนู„ู‰ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ ู†ุงู‚ุต ุงุซู†ูŠู† ููŠ ู†ุตุŒ ุตุญุŸ ู…ู…ูƒู†
1484
+
1485
+ 460
1486
+ 00:48:01,650 --> 00:48:04,590
1487
+ ุฃู† ุฃู†ุง ุฃุณู‡ู„ุŒ ูˆุฃูˆุตู„ ุงู„ููƒุฑุฉุŒ ูŠุนู†ูŠ ู…ู…ูƒู† ุชุดุชุบู„ ุนู„ู‰ ู‡ุฐุง
1488
+
1489
+ 461
1490
+ 00:48:04,590 --> 00:48:07,910
1491
+ ุฃูˆ ุนู„ู‰ ู‡ุฐู‡ุŒ ุจูŠุตูŠุฑ ู‡ุชุทู„ุน ู†ูุณ ุงู„ู†ุชูŠุฌุฉุŒ ุนู„ู‰ ุงู„ููƒุฑุฉ ู‡ุชูˆุตู„
1492
+
1493
+ 462
1494
+ 00:48:07,910 --> 00:48:13,950
1495
+ ู„ู†ูุณ ุงู„ู€ resultุŒ ุจุณ ุฃู†ุง ุนุดุงู† ุฃุณู‡ู„ุŒ ุงู„ู„ูŠ ู‡ุชูƒูˆู† I ู†ุงู‚ุต
1496
+
1497
+ 463
1498
+ 00:48:13,950 --> 00:48:21,580
1499
+ ู†ุต ุนู„ู‰ N ุฒุงุฆุฏ ูˆุงุญุฏุŒ ู†ุงู‚ุต ูˆุงุญุฏุŒ ุตุญุŸ ูŠุนู†ูŠ ู‡ุชูƒูˆู† I ู†ุงู‚ุต
1500
+
1501
+ 464
1502
+ 00:48:21,580 --> 00:48:26,980
1503
+ ู†ุต ุนู„ู‰ NุŒ ุนู„ู‰
1504
+
1505
+ 465
1506
+ 00:48:26,980 --> 00:48:33,680
1507
+ ุงู„ู€ Excel ุทุจุนุงู‹ ุจุงุญุณุจ
1508
+
1509
+ 466
1510
+ 00:48:33,680 --> 00:48:37,000
1511
+ ุงู„ู€
1512
+
1513
+ 467
1514
+ 00:48:37,000 --> 00:48:39,200
1515
+ cumulative probability
1516
+
1517
+ 468
1518
+ 00:48:51,250 --> 00:48:59,010
1519
+ ูŠุนู†ูŠ ู„ู„ู‚ุฑุงุกุฉ ุงู„ุฃูˆู„ู‰ ุญุณุจู†ุง
1520
+
1521
+ 469
1522
+ 00:48:59,010 --> 00:49:03,470
1523
+ ุงู„ุขู† ู‡ุฐู‡ ุงู„ุฎุทูˆุฉ ุงู„ุซุงู†ูŠุฉุŒ ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ equivalent z
1524
+
1525
+ 470
1526
+ 00:49:03,470 --> 00:49:11,670
1527
+ valueุŒ equivalent z valueุŒ ูุฃู†ุง ุญุณุจุช ุงู„ู€ cumulative
1528
+
1529
+ 471
1530
+ 00:49:11,670 --> 00:49:16,630
1531
+ probabilityุŒ ุงู„ุฎุทูˆุฉ ุงู„ุจุนุฏูŠุฉ ุจุฏูŠ ุฃุญุณุจ ุงู„ู€ z value
1532
+
1533
+ 472
1534
+ 00:49:16,630 --> 00:49:19,450
1535
+ from standard normal distribution for each
1536
+
1537
+ 473
1538
+ 00:49:19,450 --> 00:49:39,490
1539
+ probabilityุŒ ู†ุฑุฌุน ุนู„ู‰ ุงู„ู€ tables ู†ุดูˆูุŒ ุฃุธู†
1540
+
1541
+ 474
1542
+ 00:49:39,490 --> 00:49:40,210
1543
+ ุงู„ู€ table ุงู„ุซุงู†ูŠ
1544
+
1545
+ 475
1546
+ 00:50:43,050 --> 00:50:47,390
1547
+ ุทูŠุจุŒ ูŠุง ุจู‚ูŠ ุงู„ู€ account ุทู„ุนุช ู‡ู†ุง bond 0199
1548
+
1549
+ 476
1550
+ 00:50:53,340 --> 00:51:01,280
1551
+ ุงู„ู€ z valueุŒ ุฎู„ู‘ูŠู†ูŠ ุฃุนู…ู„ ุนู„ู‰ ุงู„ู€ ExcelุŒ ู‡ุฐุง ุงู„ู€ new
1552
+
1553
+ 477
1554
+ 00:51:01,280 --> 00:51:13,620
1555
+ ุฃูˆ ุฎู„ู‘ูŠู†ูŠ ุฃุนู…ู„ sheet ุฌุฏูŠุฏุฉ ู‡ู†ุงุŒ insert sheetุŒ ุทูŠุจ ุญุฏ
1556
+
1557
+ 478
1558
+ 00:51:13,620 --> 00:51:19,500
1559
+ ูŠู†ุณุฎ ุงู„ุจูŠุงู†ุงุชุŒ ูŠู†ุณุฎ ุงู„ู€ dataุŒ ุงู„ู€ raw dataุŒ ุญุฏ ูŠุชุตูˆุฑู‡ุง
1560
+
1561
+ 479
1562
+ 00:51:19,500 --> 00:51:31,040
1563
+ ู„ูŠุนุทูŠู†ุง ุฅูŠุงู‡ุงุŒ ุทูŠุจ ููŠ ุทุฑูŠู‚ุฉ ุซุงู†ูŠุฉุŒ Ctrl CุŒ ู…ุด ู…ุดูƒู„ุฉ
1564
+
1565
+ 480
1566
+ 00:51:31,040 --> 00:51:40,660
1567
+ Ctrl VุŒ ุจุณ ุนู„ู‰ ุงู„ุฃู‚ู„ ุดุงูŠูุŒ ุฎู„ุงุต ูŠุฎู„ู ุนู„ูŠูƒุŒ ุจุทู„ุช
1568
+
1569
+ 481
1570
+ 00:51:40,660 --> 00:51:46,600
1571
+ ู…ุญุชุงุฌูƒุŒ Ctrl VุŒ ู‡ู†ุง ุนู†ุฏูƒ ุงู„ู€ data
1572
+
1573
+ 482
1574
+ 00:52:31,050 --> 00:52:42,550
1575
+ ุทูŠุจุŒ ู‡ุฐู‡ ุงู„ู€ dataุŒ ุจุฏูŠ ุฃุนู…ู„ ุฅูŠุดุŸ sortุŒ ู‡ูˆ ูŠุนู†ูŠ ุนู†ุฏ
1576
+
1577
+ 483
1578
+ 00:52:42,550 --> 00:52:45,830
1579
+ data sort
1580
+
1581
+ 484
1582
+ 00:52:47,890 --> 00:52:53,510
1583
+ ู…ู† smallest to largestุŒ ุฎู„ุตู†ุงุŒ ุนู…ู„ู†ุง ุงู„ู€ sortingุŒ ุทูŠุจ
1584
+
1585
+ 485
1586
+ 00:52:53,510 --> 00:53:06,170
1587
+ ุฅูŠุด ุงู„ุฎุทูˆุฉ ุจุนุฏ ุฐุงูƒุŸ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ I numberุŒ ูˆุงุญุฏุŒ ุงุซู†ูŠู†ุŒ
1588
+
1589
+ 486
1590
+ 00:53:06,170 --> 00:53:09,330
1591
+ ุฑู‚ู…ู†ุง
1592
+
1593
+ 487
1594
+ 00:53:09,330 --> 00:53:15,910
1595
+ ุฅูŠุด ุงู„ุจูŠุงู†ุงุชุŸ ูˆุจุนุฏู‡ุง ู‡ู†ุญุณุจ FIุŒ ู‡ุชุณุงูˆูŠ
1596
+
1597
+ 488
1598
+ 00:53:24,190 --> 00:53:34,030
1599
+ ูุŒ ูˆุงุญุฏ ู†ุงู‚ุต
1600
+
1601
+ 489
1602
+ 00:53:34,030 --> 00:53:41,530
1603
+ ู†ุต ุนู„ู‰ NุŒ ุฎู„ู‘ู†ุง ู†ุญูƒูŠ ุนู„ู‰ ุนุดุฑุฉุŒ ุตุญุŸ ุญุณุจู†ุง ุงู„ู€ cumulative
1604
+
1605
+ 490
1606
+ 00:53:41,530 --> 00:53:46,030
1607
+ probabilityุŒ ุจุนุฏ ุญุณุจู†ุง ุงู„ู€ cumulative probability
1608
+
1609
+ 491
1610
+ 00:53:46,030 --> 00:53:49,510
1611
+ ุจุฏู†ุง ู†ุญุณุจ ุงู„ู€ z value
1612
+
1613
+ 492
1614
+ 00:53:51,980 --> 00:53:59,760
1615
+ ููŠ ุฃู† ููŠ ุงู„ู‡ุฏู ููŠ ุงู„ู€ Excel ุงู„ู„ูŠ
1616
+
1617
+ 493
1618
+ 00:53:59,760 --> 00:54:06,400
1619
+ ู‡ูŠ normal S
1620
+
1621
+ 494
1622
+ 00:54:06,400 --> 00:54:11,940
1623
+ inverse S
1624
+
1625
+ 495
1626
+ 00:54:11,940 --> 00:54:18,820
1627
+ inverse ู„ู„ู‚ุฑุงุกุฉ ู‡ุฐู‡ุŒ ุตุญุŸ
1628
+
1629
+ 496
1630
+ 00:54:22,610 --> 00:54:32,750
1631
+ ู†ุญุณุจ ุงู„ู€ z inverseุŒ ุงู„ู€ z
1632
+
1633
+ 497
1634
+ 00:54:32,750 --> 00:54:35,910
1635
+ inverseุŒ ุฎู„ู‘ู†ุง ู†ุธุจุท ุงู„ุฃุฑู‚ุงู…
1636
+
1637
+ 498
1638
+ 00:54:56,870 --> 00:55:02,730
1639
+ ุงู„ู„ุญุธุฉุŒ ุฅู†ู‡ ู…ุชุฌุฑุจุฉุŒ ู…ุชุฌุฑุจุฉุŒ ุงู„ู„ุญุธุฉุŒ minus one point six
1640
+
1641
+ 499
1642
+ 00:55:02,730 --> 00:55:05,930
1643
+ ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ู‡ู†ุง ู‡ุชูƒูˆู† one point six ุฃุฑุจุนุฉ ุฎู…ุณุฉุŒ ุงู„ู€ Z
1644
+
1645
+ 500
1646
+ 00:55:05,930 --> 00:55:10,490
1647
+ valueุŒ ูŠุนู†ูŠ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุฌุงูŠ ุจุฌุงูŠ ุฒูŠ ู‡ูŠูƒุŒ ูˆู‡ูŠ ูˆุงุญุฏุฉ
1648
+
1649
+ 501
1650
+ 00:55:10,490 --> 00:55:15,650
1651
+ ู‡ู†ุงุŒ ูˆูˆุงุญุฏุฉ ู‡ู†ุงุŒ ุงู„ู€ ZุŒ ุทูŠุจ
1652
+
1653
+ 502
1654
+ 00:55:15,650 --> 00:55:21,470
1655
+ ู…ู…ูƒู† ุงู„ุจูŠุงู†ุงุชุŒ ุฃู†ุง ุฃุญุณุจ ุงู„ู€ ZุŒ ู„ูˆ ู‡ุฐู‡ ุงู„ู„ูŠ ู‡ูˆ ูŠุณู…ูŠู‡ุง
1656
+
1657
+ 503
1658
+ 00:55:21,470 --> 00:55:22,310
1659
+ ุงู„ู€ Z standard
1660
+
1661
+ 504
1662
+ 00:55:30,620 --> 00:55:36,700
1663
+ ูˆุฏุญูƒ ุงู„ู€ Z observedุŒ ุนุดุงู†
1664
+
1665
+ 505
1666
+ 00:55:36,700 --> 00:55:45,740
1667
+ ุฃุญุณุจ Z observedุŒ ุจุงู„ุฒู…ู† ู‡ู†ุง ุฃุญุณุจ ุงู„ู€ averageุŒ ุฃุญุณุจ
1668
+
1669
+ 506
1670
+ 00:55:45,740 --> 00:55:55,120
1671
+ ุงู„ู€ average ู„ู„ู‚ุฑุงุกุงุช ูˆุฃุญุณุจ
1672
+
1673
+ 507
1674
+ 00:55:55,120 --> 00:56:10,200
1675
+ ุงู„ู€ standard deviationุŒ STD STD STD STD STD STD STD
1676
+
1677
+ 508
1678
+ 00:56:10,200 --> 00:56:11,780
1679
+ STD STD STD STD STD STD STD STD STD STD STD STD
1680
+
1681
+ 509
1682
+ 00:56:11,780 --> 00:56:11,840
1683
+ STD STD STD STD STD STD STD STD STD STD STD STD
1684
+
1685
+ 510
1686
+ 00:56:11,840 --> 00:56:12,120
1687
+ STD STD STD STD STD STD STD STD STD STD STD STD
1688
+
1689
+ 511
1690
+ 00:56:12,120 --> 00:56:12,220
1691
+ STD STD STD STD STD STD STD STD STD STD STD STD
1692
+
1693
+ 512
1694
+ 00:56:12,220 --> 00:56:14,840
1695
+ STD STD STD STD STD STD STD STD STD
1696
+
1697
+ 513
1698
+ 00:56:27,640 --> 00:56:32,100
1699
+ ู…ูู‡ูˆู… populationุŒ ุฅูŠุด ุนู† populationุŸ ุฅูŠุด ุงู„ุงุณู…ุŸ ู…ุด
1700
+
1701
+ 514
1702
+ 00:56:32,100 --> 00:56:35,740
1703
+ ุงู„ูƒุซูŠุฑ ูŠุง ุฏูƒุชูˆุฑุŒ ุฅูŠุด ุนู† populationุŸ ูƒู„ู‡ู…ุŒ ู‚ุฑุงุกุงุช
1704
+
1705
+ 515
1706
+ 00:56:35,740 --> 00:56:39,860
1707
+ ุงู„ูƒุซูŠุฑ ู…ู†ู‡ู…ุŒ ู…ุด ุนูŠู†ุฉุŒ ู…ู†ู‡ู… ูƒู„ู‡ู…ุŒ ุฃู†ุช ุนู…ู„ุช ูƒู„
1708
+
1709
+ 516
1710
+ 00:56:39,860 --> 00:56:43,260
1711
+ ุงู„ุงุญุชู…ุงู„ุงุชุŸ ู‚ุฑุงุกุงุช ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ู€ populationุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹
1712
+
1713
+ 517
1714
+ 00:56:43,260 --> 00:56:46,880
1715
+ ู„ูˆ ุญูƒูŠู†ุง ุงู„ู€ population ุชุงุน ู…ุฑุถู‰ ุงู„ุณูƒุฑ ููŠ ูู„ุณุทูŠู†ุŒ
1716
+
1717
+ 518
1718
+ 00:56:46,880 --> 00:56:51,600
1719
+ ูƒู… ุนุฏุฏู‡ู…ุŸ ูƒุซูŠุฑุŒ ูŠุนู†ูŠ ู…ุซู„ุงู‹ ู…ุฆุงุช ุงู„ุขู„ุงูุŒ ู…ุซู„ุงู‹ ู…ุงุฆุฉ
1720
+
1721
+ 519
1722
+ 00:56:51,600 --> 00:56:55,980
1723
+ ุฃู„ูุŒ ู„ู…ุง ุชุนู…ู„ ุชุฌุฑุจุฉุŒ ุฃู†ุช ุจุชุงุฎุฏ... ุชูุญุต ุงู„ู…ุงุฆุฉ ุฃู„ูุŸ
1724
+
1725
+ 520
1726
+ 00:56:57,610 --> 00:57:02,710
1727
+ ุฃุตู„ุงู‹ ุจุฃุฎุฐ ุฃู„ู ุนูŠู†ุฉุŒ ู‡ุฐู‡ ุงู„ู€ sampleุŒ ู‡ุฐู‡ ุงู„ู€ sample
1728
+
1729
+ 521
1730
+ 00:57:02,710 --> 00:57:05,630
1731
+ ูŠุนู†ูŠ ู‡ุฐู‡ sample ู…ู† ุงู„ู…ู†ุญู†ู‰ ุงู„ุฐูŠ ูŠูƒูˆู†... ู„ุฃุŒ ู„ุฃุŒ ู‡ุฐู‡ ุงู„ู€
1732
+
1733
+ 522
1734
+ 00:57:05,630 --> 00:57:08,270
1735
+ sampleุŒ ุฃูŠ ู…ุฌู…ูˆุนุฉ ููŠ ุงู„ุฏู†ูŠุงุŒ ู„ู…ุง ุชุงุฎุฏ ุนุฏุฏ ุงู„ู€
1736
+
1737
+ 523
1738
+ 00:57:08,270 --> 00:57:12,550
1739
+ population approaches infinityุŒ ุจูŠูƒูˆู† ูƒุจูŠุฑ ุฌุฏุงู‹ุŒ ูŠุนู†ูŠ
1740
+
1741
+ 524
1742
+ 00:57:12,550 --> 00:57:17,010
1743
+ ุฃู†ุช ุจุชุงุฎุฏ ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุบุฑูุฉุŒ ู‡ุฐู‡ ุงู„ู€ populationุŒ
1744
+
1745
+ 525
1746
+ 00:57:17,010 --> 00:57:20,490
1747
+ ู‡ุชุงุฎุฏ ู„ูุชุฑุฉ ุทูˆูŠู„ุฉุŒ ูˆุนุฏุฏ ู‚ุฑุงุกุงุชูŠ ูƒุจูŠุฑุฉ ุฌุฏุงู‹ุŒ ู„ูƒู† ุฃู†ุง
1748
+
1749
+ 526
1750
+ 00:57:20,490 --> 00:57:24,630
1751
+ ู…ุด ู‡ุงุฎุฏ ุนุฏุฏ ู‚ุฑุงุกุงุชูŠ ูƒุจูŠุฑุฉุŒ ูŠุนู†ูŠ ู„ูŠู‡ ุฏุงุฆู…ุงู‹ ู‡ุชุงุฎุฏู‡ุง
1752
+
1753
+ 527
1754
+ 00:57:24,630 --> 00:57:28,880
1755
+ sampleุŒ ูˆุฎุงู†ุฉุŒ ู…ุด ุฏุงุฆู…ุงู‹ุŒ ูŠุนู†ูŠ ุฅุฐุง ูƒุงู† ุนุฏุฏ ุงู„ุจูŠุงู†ุงุช
1756
+
1757
+ 528
1758
+ 00:57:28,880 --> 00:57:34,100
1759
+ ูƒุจูŠุฑุฉุŒ ู…ู…ูƒู† ุชูƒูˆู† ุชู‚ุฑูŠุจุงู‹ ู‡ูŠ ุงู„ู€ populationุŒ ู„ุฃู† ู‡ู†ุง
1760
+
1761
+ 529
1762
+ 00:57:34,100 --> 00:57:39,200
1763
+ ุงุนุชุจุฑู†ุง ุฃู†ู‡ ููŠู†ุงุŒ ููŠู†ุง small sampleุŒ ุฃู‚ู„ ู…ู† ุซู„ุงุซูŠู†ุŒ
1764
+
1765
+ 530
1766
+ 00:57:39,200 --> 00:57:46,060
1767
+ ูˆููŠู†ุง large sampleุŒ ุฃูƒุซุฑ ู…ู† ุซู„ุงุซูŠู†ุŒ ูุญุณุจ
1768
+
1769
+ 531
1770
+ 00:57:46,060 --> 00:57:49,320
1771
+ ุงู„ุนุฏุฏุŒ ุฅุฐุง ุงู„ุนุฏุฏ ูƒุจูŠุฑุŒ ู…ู…ูƒู† ุงุนุชุจุฑู‡ุง ู‚ุฑูŠุจุงู‹ุŒ ูƒู„ ู…ุง ุฃุฒูˆุฏ
1772
+
1773
+ 532
1774
+ 00:57:49,320 --> 00:57:52,560
1775
+ ุงู„ุจูŠุงู†ุงุชุŒ ูƒู„ ู…ุง ุฃู‚ุชุฑุจ ู…ู† ุงู„ู€ mean ุจุชุงุน population
1776
+
1777
+ 533
1778
+ 00:57:54,240 --> 00:57:57,400
1779
+ ูุจูŠุทู„ุน ุนู†ุฏูŠ ุงู„ู€ standard deviationุŒ ุงู„ู„ูŠ ู‡ูˆ ุฃุฑุจุนุฉ point
1780
+
1781
+ 534
1782
+ 00:57:57,400 --> 00:58:04,560
1783
+ ุซู…ุงู†ูŠุฉุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ z ู‡ุชูƒูˆู†
1784
+
1785
+ 535
1786
+ 00:58:04,560 --> 00:58:08,440
1787
+ ุชุณุงูˆูŠ ู‡ุฐู‡
1788
+
1789
+ 536
1790
+ 00:58:08,440 --> 00:58:16,900
1791
+ ุงู„ู€ x ู‡ุชุณุงูˆูŠ
1792
+
1793
+ 537
1794
+ 00:58:16,900 --> 00:58:21,480
1795
+ ู‡ุฐู‡ุŒ ู†ุงู‚ุต ุงู„ู€ x bar
1796
+
1797
+ 538
1798
+ 00:58:27,520 --> 00:58:33,680
1799
+ ุนู„ู‰ sigmaุŒ ุทุจุนุงู‹ ู‡ุชุทู„ุน ุงู„ู†ุชูŠุฌุฉุŒ ุฃูˆู„ ูˆุงุญุฏุฉ ุตุญุŒ ูˆุงู„ุจุงู‚ูŠ
1800
+
1801
+ 539
1802
+ 00:58:33,680 --> 00:58:41,160
1803
+ ุบู„ุทุŒ ู‡ุชุทู„ุน ุตุญุŒ ู„ูŠุดุŸ ู„ุฃู† ู‡ูˆ ู…ุงุดูŠ ุฌุฏูˆู„ ู…ุชุณู„ุณู„ุŒ ู…ุชุณู„ุณู„ุŒ
1804
+
1805
+ 540
1806
+ 00:58:41,160 --> 00:58:46,120
1807
+ ุจูŠุฑูˆุญุŒ ุจุฃุฎุฐ ู‚ุฑุงุฑุงุช ู„ุชุญุชุŒ ูู„ุงุฒู… ุฃุซุจุช ู…ู† ู‡ู†ุง ุจุงู„ุฃุณุงุณ
1808
+
1809
+ 541
1810
+ 00:58:46,120 --> 00:58:55,550
1811
+ ู‡ุฐู‡ุŒ ุฃูˆ ุฑุงุญ ุฃุซุจุช ู‡ุฐู‡ุŒ ูˆุฃุญุท ู„ู‡ุง dollar signุŒ ูˆู‡ู†ุง $$$$
1812
+
1813
+ 542
1814
+ 00:58:55,550 --> 00:58:57,030
1815
+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
1816
+
1817
+ 543
1818
+ 00:58:57,030 --> 00:59:06,830
1819
+ $$$$$$$$$$$$$$$$$$$$$$$$
1820
+
1821
+ 544
1822
+ 00:59:06,830 --> 00:59:09,650
1823
+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
1824
+
1825
+ 545
1826
+ 00:59:09,650 --> 00:59:13,110
1827
+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
1828
+
1829
+ 546
1830
+ 00:59:13,110 --> 00:59:16,150
1831
+ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
1832
+
1833
+ 547
1834
+ 00:59:23,290 --> 00:59:30,510
1835
+ ู…ุฎุชู„ู ุนู† ุงู„ู€ Z standardุŒ ู…ุฎุชู„ู ุนู† ุงู„ู€ Z standardุŒ ุงู„ุขู†
1836
+
1837
+ 548
1838
+ 00:59:30,510 --> 00:59:36,630
1839
+ ุจุนุฏูŠู† ุจุฑูˆุญ ุฃุนู…ู„ plotุŒ plotุŒ ู‡ุฐู‡ุŒ ุจุฑูˆุญ
1840
+
1841
+ 549
1842
+ 00:59:36,630 --> 00:59:47,390
1843
+ ู‡ู†ุงุŒ ุฃุถูŠู insert chartุŒ ุฃูˆู„ ุดูŠุก ุจุฏูŠ ุฃุญูˆู„ ุงู„ุจูŠุงู†ุงุช
1844
+
1845
+ 550
1846
+ 00:59:47,390 --> 00:59:53,930
1847
+ ุงู„ู„ูŠ ู‡ูˆ change typeุŒ ู‡ุนู…ู„ู‡ุง scatterุŒ ู‡ูŠ ุฑู‚ู… ูˆุงุญุฏุŒ
1848
+
1849
+ 551
1850
+ 00:59:53,930 --> 01:00:01,310
1851
+ ุจุนุฏูŠู† ู‡ุงูƒูŠู„ู‡ select dataุŒ ุฃุบูŠุฑุŒ ุฃูˆ ุจุฏูŠ ุฃู…ุณุญ ุงู„ุจูŠุงู†ุงุช
1852
+
1853
+ 552
1854
+ 01:00:01,310 --> 01:00:09,690
1855
+ ุงู„ู…ูˆุฌูˆุฏุฉุŒ ู‡ุฐู‡ุŒ remove removeุŒ ูˆ addุŒ ุงู„ู€ x valueุŒ ู‡ุฐู‡ ุงู„ู€
1856
+
1857
+ 553
1858
+ 01:00:09,690 --> 01:00:14,170
1859
+ x valueุŒ ูˆ
1860
+
1861
+ 554
1862
+ 01:00:14,170 --> 01:00:18,070
1863
+ ุงู„ู€ y valueุŒ ุงู„ู„ูŠ
1864
+
1865
+ 555
1866
+ 01:00:18,070 --> 01:00:18,570
1867
+ ู‡ูŠ ู‡ุฐู‡
1868
+
1869
+ 556
1870
+ 01:00:31,760 --> 01:00:44,220
1871
+ OkayุŒ ู‡ุดูˆู ุงู„ู€ select dataุŒ ูู„ู†ุนู…ู„
1872
+
1873
+ 557
1874
+ 01:00:44,220 --> 01:00:49,620
1875
+ remove removeุŒ ูˆ addุŒ ุนู†ุฏูŠ
1876
+
1877
+ 558
1878
+ 01:00:52,050 --> 01:00:56,430
1879
+ ุงู„ู€ XุŒ ุงู„ู€
1880
+
1881
+ 559
1882
+ 01:00:56,430 --> 01:01:00,910
1883
+ X valueุŒ ุงู„ู€ Y value
1884
+
1885
+ 560
1886
+ 01:01:00,910 --> 01:01:06,050
1887
+ ูˆ
1888
+
1889
+ 561
1890
+ 01:01:06,050 --> 01:01:13,370
1891
+ XุŒ okay
1892
+
1893
+ 562
1894
+ 01:01:13,370 --> 01:01:17,590
1895
+ ุฅูŠุด
1896
+
1897
+ 563
1898
+ 01:01:17,590 --> 01:01:26,160
1899
+ ุตุญุŸ ุงู„ุขู† ุนู†ุฏูŠ ู‡ู†ุง plot
1900
+
1901
+ 564
1902
+ 01:01:26,160 --> 01:01:34,760
1903
+ observed ู…ุน ุงู„ู€ standardุŒ ุงู„ุขู† ุจุฏูŠ ุฃุดูˆูุŒ ุฃุฑูˆุญ ุฃุญุงูˆู„
1904
+
1905
+ 565
1906
+ 01:01:34,760 --> 01:01:41,780
1907
+ ุฃุนู…ู„ linear
1908
+
1909
+ 566
1910
+ 01:01:41,780 --> 01:01:49,710
1911
+ plotุŒ ู‡ุฐุง trend lineุŒ ุงู„ู„ุญุธุฉุŒ ููŠู‡ุง ุนู†ุฏูŠ ู…ุดูƒู„ุฉุŒ ุทู„ุน
1912
+
1913
+ 567
1914
+ 01:01:49,710 --> 01:01:57,270
1915
+ ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ ุฃุจุนุฏุŒ ููŠู†ุŸ ู†ู‚ุทุฉ ุบู„ุท ุฃู†ุง ู…ุฏุฎู„ู‡ุงุŒ ุดูƒู„ู‡ ู†ุฑูˆุญ
1916
+
1917
+ 568
1918
+ 01:01:57,270 --> 01:02:06,990
1919
+ ุนู„ู‰ ุงู„ู€ dataุŒ 76101
1920
+
1921
+ 569
1922
+ 01:02:06,990 --> 01:02:10,110
1923
+ 14
1924
+
1925
+ 570
1926
+ 01:02:10,110 --> 01:02:20,780
1927
+ ู†ุงู‚ุต 1.7ุŒ ู†ุงู‚ุต ู†ุงู‚ุต ู†ุงู‚ุต ู†ุงู‚ุต ู†ุงู‚ุตุŒ ุขู‡ุŒ ุชู‚ุฑูŠุจุงู‹ ุจุงู„ุนูŠู†
1928
+
1929
+ 571
1930
+ 01:02:20,780 --> 01:02:26,520
1931
+ ุฃุถู
1932
+
1933
+ 572
1934
+ 01:02:26,520 --> 01:02:30,940
1935
+ trend lineุŒ ู„ุฃ
1936
+
1937
+ 573
1938
+ 01:02:30,940 --> 01:02:38,280
1939
+ ู…ุด ูƒุซูŠุฑ normalุŒ ุทุจุนุงู‹
1940
+
1941
+ 574
1942
+ 01:02:38,280 --> 01:02:42,880
1943
+ ู‡ุฐู‡ ุทุฑูŠู‚ุฉ ุฃู† ุฃู†ุง ุฃุนู…ู„ z ู…ุน zุŒ ุงู„ุทุฑูŠู‚ุฉ ุงู„ู„ูŠ ุฃู†ุง ู‡ุฎู„ูŠู‡ุง ุฏูŠ
1944
+
1945
+ 575
1946
+ 01:02:42,880 --> 01:02:46,460
1947
+ ุฃู† ุฃู†ุง ู‡ู†ุงุŒ ุฃุฑูˆุญ ุฃุถูŠูุŒ ู‡ุฐู‡ sheet ุงู„ุซุงู†ูŠุฉุŒ addุŒ insert
1948
+
1949
+ 576
1950
+ 01:02:46,460 --> 01:02:47,940
1951
+ ูƒู…ุงู† ุงู„ู€ chart
1952
+
1953
+ 577
1954
+ 01:02:51,000 --> 01:02:54,020
1955
+ ุงู„ู„ูŠ ุฃู†ุง ุฃูˆู„ ุดูŠุก ู‡ุบูŠุฑ ุงู„ู€ change typeุŒ ุงู„ู„ูŠ ู‡ูˆ ู„ู€
1956
+
1957
+ 578
1958
+ 01:02:54,020 --> 01:03:00,920
1959
+ scatterุŒ ุจุนุฏูŠู† ุฎู„ู‘ูŠู†ูŠ ุฃุญูƒูŠ select dataุŒ ุฎู„ู‘ูŠู†ูŠ ุฃุดูŠู„
1960
+
1961
+ 579
1962
+ 01:03:00,920 --> 01:03:09,980
1963
+ ุงู„ุจูŠุงู†ุงุชุŒ remove removeุŒ ูˆ addุŒ ุฃุฑูˆุญ ุฃุนู…ู„ plot ู…ุน
1964
+
1965
+ 580
1966
+ 01:03:09,980 --> 01:03:12,980
1967
+ ุงู„ู„ูŠ ู‡ูˆ ู‡ุฐู‡ ุงู„ู€ standard
1968
+
1969
+ 581
1970
+ 01:03:19,890 --> 01:03:26,170
1971
+ ู…ุน ุงู„ู€ data ู…ุจุงุดุฑุฉุŒ ู‡ู†ุง ู„ุญุธุฉุŒ ุฃู†ุง ุญุทูŠุช ุบู„ุทุŒ ู‡ุฐู‡ ุงู„ู…ูƒุงู†ุฉ
1972
+
1973
+ 582
1974
+ 01:03:26,170 --> 01:03:29,330
1975
+ ุฅู†
1976
+
1977
+ 583
1978
+ 01:03:29,330 --> 01:03:34,430
1979
+ ู‡ูˆ ู‡ุฐู‡ ุงู„ู€ z standardุŒ ูˆ
1980
+
1981
+ 584
1982
+ 01:03:34,430 --> 01:03:44,690
1983
+ ุฃุญุท ุงู„ุจูŠุงู†ุงุช ู‡ู†ุง ู…ุจุงุดุฑุฉุŒ ุงู„ุจูŠุงู†ุงุช ู‡ุฐู‡ุŒ okay
1984
+
1985
+ 585
1986
+ 01:03:49,270 --> 01:03:56,150
1987
+ ู…ุจุงุดุฑุฉุŒ ูˆุงุถุญ ุฃู† ู‡ุฐุง... ุดุงูŠููŠู† ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ุŸ ูˆุงุถุญ
1988
+
1989
+ 586
1990
+ 01:03:56,150 --> 01:04:02,990
1991
+ ุฃู†ู‡ ููŠ ุดูŠุก ุบู„ุทุŒ ุจุณู…ูŠู‡ outlierุŒ ู…ุด ู…ู†ุทู‚ูŠุฉุŒ ู ุฃู†ุง ู„ูˆ ุดู„ุช
1992
+
1993
+ 587
1994
+ 01:04:02,990 --> 01:04:06,350
1995
+ ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰... ุฑูˆุญุช ุดู„ุช ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ ู‡ู†ุงุŒ ู†ุฑูˆุญ
1996
+
1997
+ 588
1998
+ 01:04:06,350 --> 01:04:13,710
1999
+ ุนู„ู‰ ุงู„ู€ sheet ุงู„ุซุงู†ูŠุŒ ุฃูˆ ุดู„ุช ุงู„ู‚ูŠู…ุฉ ุงู„ุฃูˆู„ู‰ุŒ ู‡ุฐู‡ุŒ I delete
2000
+
2001
+ 589
2002
+ 01:04:13,710 --> 01:04:14,990
2003
+ ุฎู„ู‘ูŠู†ูŠ ุดูˆูŠุดุŒ ุงุทู„ุน ู…ุนุงู†ุง
2004
+
2005
+ 590
2006
+ 01:04:19,810 --> 01:04:27,390
2007
+ ู†ุนู…ู„ ู‚ุงุนุฏุฉ trendlineุŒ ููŠ
2008
+
2009
+ 591
2010
+ 01:04:27,390 --> 01:04:33,590
2011
+ ุฃูŠ ุดูŠุก ุบู„ุทุŒ ู„ูŠุดุŸ ุงู„ู…ุดูƒู„ุฉ ุงู„ู„ูŠ ุนู†ุฏูŠ ู‡ู†ุงุŒ ู‚ุงุนุฏุฉ
2012
+
2013
+ 592
2014
+ 01:04:33,590 --> 01:04:39,710
2015
+ trendlineุŒ ุทูŠุจ ููŠ ุนู†ุฏูŠ ู…ุดูƒู„ุฉ ููŠ ุงู„ู†ู‚ุงุท ู‡ู†ุงุŒ ุนู„ู‰ ุฃูŠ
2016
+
2017
+ 593
2018
+ 01:04:39,710 --> 01:04:42,910
2019
+ ุญุงู„ุŒ ูŠุนู†ูŠ ุฃู†ุง ุจู‚ู‰ ุนู…ู„ุช plot ู„ู„ู€ data ู…ุน ุงู„ู€ z standard
2020
+
2021
+ 594
2022
+ 01:04:43,900 --> 01:04:48,280
2023
+ ุฃูˆ z observed ู…ุน z standardุŒ ู‡ุฐู‡ ุงู„ู€ zุŒ ู‡ุฐู‡ ุฃู†ุง ุจุณ
2024
+
2025
+ 595
2026
+ 01:04:48,280 --> 01:04:54,580
2027
+ ุนู…ู„ุช ู„ู‡ุง normalizationุŒ ูˆุดูˆู ุฅุฐุง ุงู„ุฎุทุŒ ุงู„ุฎุท ู‚ุฑูŠุจ
2028
+
2029
+ 596
2030
+ 01:04:54,580 --> 01:04:58,560
2031
+ ู„ู„ุฎุทูŠุฉุŒ ูŠุนู†ูŠ ู„ูˆ ุดู„ุช ุงู„ู†ู‚ุทุฉ ู‡ุฐู‡ุŒ ูˆุงุถุญ ุฃู†ู‡ ู‚ุฑูŠุจ ู…ู†
2032
+
2033
+ 597
2034
+ 01:04:58,560 --> 01:05:03,880
2035
+ ุงู„ู€ linearุŒ ูˆุงุถุญ ุฃู†ู‡ ู‚ุฑูŠุจ ู…ู† ุงู„ู€ linearุŒ ู„ูˆ ุจุฑุถู‡ ุทู„ุนุช
2036
+
2037
+ 598
2038
+ 01:05:03,880 --> 01:05:08,800
2039
+ ุนู„ู‰ ุงู„ู€ z observedุŒ ุจุฑุถู‡ ู‚ุฑูŠุจ ู…ู† ุงู„ู€ linear
2040
+
2041
+ 599
2042
+ 01:05:21,020 --> 01:05:24,200
2043
+ ูู‡ุฐุง ู‡ูˆ ุงู„ู€ Normal probability plotุŒ ุฅุฐุง ูƒุงู†ุช ุนู„ุงู‚ุฉ
2044
+
2045
+ 600
2046
+ 01:05:24,200 --> 01:05:28,900
2047
+ ุจูŠู† ุงู„ู€ observed value ูˆ ุงู„ู€ standard z value
2048
+
2049
+ 601
2050
+ 01:05:28,900 --> 01:05:35,680
2051
+ linearุŒ ู…ุนู†ุงุชู‡ุŒ ุฃูˆ ู‚ุฑูŠุจ ู…ู† linearุŒ ู…ุนู†ุงุชู‡ ุงู„ู€ data
2052
+
2053
+ 602
2054
+ 01:05:35,680 --> 01:05:42,400
2055
+ follow a normal Gaussian distribution
2056
+
2057
+ 603
2058
+ 01:05:49,100 --> 01:06:00,760
2059
+ ููˆุงุถุญ ุฃู†ู‡ we follow normal distributionุŒ ู‡ุฐู‡
2060
+
2061
+ 604
2062
+ 01:06:00,760 --> 01:06:10,120
2063
+ ุนู…ู„ู†ุงู‡ุงุŒ ููŠ ุฃูŠ ุณุคุงู„ ุญุชู‰ ุงู„ุขู†ุŸ ุทูŠุจ
2064
+
2065
+ 605
2066
+ 01:06:10,120 --> 01:06:13,720
2067
+ ู„ูˆ
2068
+
2069
+ 606
2070
+ 01:06:16,830 --> 01:06:19,530
2071
+ ุทุจุนุงู‹ ููŠ ุทุฑู‚ ุซุงู†ูŠุฉุŒ ุจุณ ุงุญู†ุง ุจู†ูƒุชููŠ ุจุทุฑูŠู‚ุชูŠู†ุŒ ุงู„ู„ูŠ
2072
+
2073
+ 607
2074
+ 01:06:19,530 --> 01:06:23,750
2075
+ ู‡ูŠ ุงู„ู€ histogram ูˆ ุงู„ู€ normal probability plot
2076
+
2077
+ 608
2078
+ 01:06:23,750 --> 01:06:28,670
2079
+ ุงู„ู…ุญุงุถุฑุฉ
2080
+
2081
+ 609
2082
+ 01:06:28,670 --> 01:06:34,770
2083
+ ุงู„ุฌุงูŠุฉุŒ ู‡ู†ุดูˆู ุฅุฐุง ูƒุงู† ููŠ ุนู†ุฏูŠ multivariableุŒ ุฅุฐุง ููŠ
2084
+
2085
+ 610
2086
+ 01:06:34,770 --> 01:06:37,930
2087
+ ุนู†ุฏูŠ multivariableุŒ ูŠุนู†ูŠ ุฃู†ุง ููŠ ุนู†ุฏูŠ ู‚ุฑุงุกุงุชุŒ ูˆุจุญุณุจ
2088
+
2089
+ 611
2090
+ 01:06:37,930 --> 01:06:42,530
2091
+ ููŠ ุนู†ุฏูŠ ู‚ุฑุงุกุงุช ูˆุจุญุณุจุŒ ุฅูŠุดุŸ ุฃู†ุง ููŠ ู‚ุฑุงุกุงุช ูˆุจุญุณุจ
2092
+
2093
+ 612
2094
+ 01:06:42,530 --> 01:06:48,740
2095
+ ู…ุซู„ุงู‹ ู„ูˆ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ ุชุฌุฑุจุฉ ู„ู‚ูŠุงุณ ูƒุซุงูุฉ ุณุงุฆู„ ู…ุนูŠู†ุŒ
2096
+
2097
+ 613
2098
+ 01:06:48,740 --> 01:06:53,920
2099
+ ุจุฏูŠ
2100
+
2101
+ 614
2102
+ 01:06:53,920 --> 01:06:57,280
2103
+ ุฃุนู…ู„ ุชุฌุฑุจุฉ ู„ู‚ูŠุงุณ ูƒุซุงูุฉ ุณุงุฆู„ ู…ุนูŠู†ุŒ ุงู„ุฑุคู‰ ุดูˆ ุฃุณุงูˆูŠุŸ ุงู„ู€
2104
+
2105
+ 615
2106
+ 01:06:57,280 --> 01:07:01,660
2107
+ density = mass
2108
+
2109
+ 616
2110
+ 01:07:01,660 --> 01:07:07,740
2111
+ ุนู„ู‰ volumeุŒ ูŠุนู†ูŠ
2112
+
2113
+ 617
2114
+ 01:07:07,740 --> 01:07:15,320
2115
+ ุงูุฑุถ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ ุชุฌุฑุจุฉุŒ ูุฌุจุชุŒ ุฌุจุช
2116
+
2117
+ 618
2118
+ 01:07:18,470 --> 01:07:26,990
2119
+ ุงู„ู„ูŠ ู‡ูˆ ุฏูˆุฑู‚ ู…ุฏุฑู‘ุฌุŒ ุงู„ู‚ุทุฑ
2120
+
2121
+ 619
2122
+ 01:07:26,990 --> 01:07:38,590
2123
+ ุจุชุงุนู‡ุŒ ุฏูŠ ู‡ูˆ ู…ุฏุฑู‘ุฌุŒ ู…ุฏุฑู‘ุฌ
2124
+
2125
+ 620
2126
+ 01:07:38,590 --> 01:07:46,650
2127
+ ูุงู„ู„ูŠ ู‡ุณุงูˆูŠู‡ ุฃู†ุง ุจุฃุฎุฐ ุงู„ุฏูˆุฑู‚ุŒ ุจุญุทู‡ ุนู„ู‰ ุงู„ู…ูŠุฒุงู†ุŒ
2128
+
2129
+ 621
2130
+ 01:07:51,490 --> 01:07:56,210
2131
+ ุจุฃูˆุฒู†ู‡ุŒ ุจุฃูˆุฒู†ู‡ุŒ ุฃูˆ ุจุตูุฑ ุงู„ู…ูŠุฒุงู†ุฉ ุฏูŠุŒ ู„ูƒู† ู‡ูˆ mass
2132
+
2133
+ 622
2134
+ 01:07:56,210 --> 01:08:06,290
2135
+ ุจุชุงุนุฉ ู‡ุฐุงุŒ ุจุนุฏูŠู† ุจุญุท ู…ุซู„ุงู‹ ุญุฌู… ู…ุนูŠู†ุŒ ุญุฌู…... ุญุฌู… ู…ุนูŠู†
2136
+
2137
+ 623
2138
+ 01:08:06,290 --> 01:08:10,790
2139
+ ู…ู† ุงู„ู…ุงุกุŒ ุฃูˆ ู…ู† ุงู„ุณุงุฆู„ุŒ ูŠุนู†ูŠ ุฃู†ุง ุฃูŠ measureุŒ ู‡ู†ุฏูŠุŒ ู‡ู†ุฏูŠ
2140
+
2141
+ 624
2142
+ 01:08:10,790 --> 01:08:17,230
2143
+ mass ูˆ volumeุŒ ู‡ุฐู‡ measured quantitiesุŒ ุจุฃุฎุฐ ู‚ุฑุงุกุงุช
2144
+
2145
+ 625
2146
+ 01:08:17,230 --> 01:08:22,070
2147
+ ุทุจุนุงู‹ ู„ูƒู„ mass measurementุŒ ุจุฃุฎุฐ ู…ุซู„ุงู‹ ุนุดุฑุฉ ู‚ุฑุงุกุงุช ู…ู†
2148
+
2149
+ 6
2150
+
2151
+ Please provide the Arabic/English lecture transcript you would like me to correct.
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/jyJ3T6R1MUc_raw.json ADDED
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PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/pb_n6eYsMrc.srt ADDED
@@ -0,0 +1,1475 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,110 --> 00:00:08,410
3
+ ุทูŠุจ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,410 --> 00:00:11,230
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ู…ุงุฏุฉ
8
+
9
+ 3
10
+ 00:00:11,230 --> 00:00:15,370
11
+ ุงู„ู‚ูŠุงุณุงุช ุนู†ูˆุงู† ุงู„ุดุทุฑ ุงู„ุฃูˆู„ the process of
12
+
13
+ 4
14
+ 00:00:15,370 --> 00:00:21,790
15
+ measurement and overview ูŠุนู†ูŠ ุนุฑุถ ุนุงู… ู„ุนู…ู„ูŠุฉ
16
+
17
+ 5
18
+ 00:00:21,790 --> 00:00:27,550
19
+ ุงู„ู‚ูŠุงุณุงุช ุฎู„ูŠู†ูŠ
20
+
21
+ 6
22
+ 00:00:27,550 --> 00:00:30,670
23
+ ุฃุณุฃู„ what is measurementุŸ ู‡ุฐุง ุงู„ุณุคุงู„ ู‡ู†ุฌุงูˆุจู‡ ุฎู„ุงู„
24
+
25
+ 7
26
+ 00:00:30,670 --> 00:00:35,820
27
+ ุงู„ู†ู‚ุงุท ุงู„ุชุงู„ูŠุฉ ู„ุฃู† whatever exists exists in some
28
+
29
+ 8
30
+ 00:00:35,820 --> 00:00:39,360
31
+ amount ุฃูŠ ุดูŠุก ู…ูˆุฌูˆุฏ ููŠ ุงู„ุฏู†ูŠุง ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุจูƒู…ูŠุฉ
32
+
33
+ 9
34
+ 00:00:39,360 --> 00:00:46,480
35
+ ู…ุญุฏุฏุฉ ุนู†ุฏูŠ ูƒู…ูŠุฉ ู…ูŠุงู‡ ู…ู…ูƒู† ุญุฌู…ู‡ุง ู…ุชุฑ ู…ูƒุนุจ ู…ู…ูƒู†
36
+
37
+ 10
38
+ 00:00:46,480 --> 00:00:53,380
39
+ ุญุฌู…ู‡ุง ู„ุชุฑ ู…ู…ูƒู† ุฃู„ู ู„ุชุฑ ู…ู…ูƒู† ู…ู„ูŠูˆู† ู„ุชุฑ ุนู†ุฏูŠ ุงู„ุญุฑุงุฑุฉ
40
+
41
+ 11
42
+ 00:00:53,380 --> 00:00:57,120
43
+ ู…ู…ูƒู† ุชูƒูˆู† ุนุดุฑูŠู† ุฏุฑุฌุฉ ู…ุฆูˆูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ุฎู…ุณุฉ ู…ู…ูƒู†
44
+
45
+ 12
46
+ 00:00:57,120 --> 00:00:59,900
47
+ ุชูƒูˆู† ุฃู„ู ู…ู…ูƒู† ุชูƒูˆู† ู…ู„ูŠูˆู† ู…ุนู†ุงู‡ ุฃูŠ ุดูŠุก ููŠ ุงู„ุฏู†ูŠุง
48
+
49
+ 13
50
+ 00:00:59,900 --> 00:01:05,840
51
+ ู…ูˆุฌูˆุฏ ู…ูˆุฌูˆุฏ ุจูƒู…ูŠุฉ ู…ุญุฏุฏุฉ the determination of the
52
+
53
+ 14
54
+ 00:01:05,840 --> 00:01:10,420
55
+ amount is what measurement is all about ุฅูŠุฌุงุฏ ู‡ุฐู‡
56
+
57
+ 15
58
+ 00:01:10,420 --> 00:01:15,600
59
+ ุงู„ูƒู…ูŠุฉ ู‡ูˆ ู…ุง ูŠุชุญุฏุซ ุนู†ู‡ ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ูŠุนู†ูŠ ุนุดุงู†
60
+
61
+ 16
62
+ 00:01:15,600 --> 00:01:22,000
63
+ ุฃุนุฑู ูƒู…ูŠุฉ ุงู„ู…ุงุก ุงู„ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ู€ tank ู‡ุฐุง ุงู„ู„ูŠ
64
+
65
+ 17
66
+ 00:01:22,000 --> 00:01:25,640
67
+ ูŠุนุทูŠู†ุง ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ุนุดุงู† ุฃุนุฑู ูƒู…ูŠุฉ ุงู„ุญุฑุงุฑุฉ ู‡ุฐุง
68
+
69
+ 18
70
+ 00:01:25,640 --> 00:01:28,980
71
+ ุงู„ู„ูŠ ุจูŠุชุญุฏุซ ุนู†ู‡ ุนู„ู… ุงู„ู‚ูŠุงุณุงุช
72
+
73
+ 19
74
+ 00:01:37,630 --> 00:01:43,270
75
+ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุนุจุงุฑุฉ ุนู† ุนู…ู„ูŠุฉ ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ุดูŠุก
76
+
77
+ 20
78
+ 00:01:43,270 --> 00:01:48,490
79
+ ุงู„ู„ูŠ ุจุฏูŠ ุฃู‚ูŠุณู‡ ูˆ standard ุจุฏูŠ ุฃู‚ูŠูŠุณ ุทูˆู„ ุงู„ุฌูˆุงู„ุŒ ุงู„ู€
80
+
81
+ 21
82
+ 00:01:48,490 --> 00:01:51,870
83
+ standard ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ meter ู…ุนู†ุงู‡ ุฃู† ุฃู†ุง ุจู‚ุงุฑู† ุจูŠู†
84
+
85
+ 22
86
+ 00:01:51,870 --> 00:01:54,210
87
+ โ€ฆ ุจุญุท ุงู„ุฌูˆุงู„ ุนู„ู‰ ุงู„ู€ meter ูˆ ุจู‚ุงุฑู† ุจูŠู†ู‡ู… ุจุดูˆู ูˆุงู„ู„ู‡
88
+
89
+ 23
90
+ 00:01:54,210 --> 00:01:58,730
91
+ ู‡ุฐุง ู…ุง ุฃุฎุฐ ุนุดุฑ ูˆุญุฏุงุช ูŠุนู†ูŠ ุนุดุฑ ุณู†ุชูŠู…ุชุฑุงุช ุฃุฎุฐ ุฎู…ุณ ุนุดุฑุฉ ูˆุญุฏุฉ
92
+
93
+ 24
94
+ 00:01:58,730 --> 00:02:05,770
95
+ ู…ุนู†ุงุชู‡ ุฎู…ุณ ุนุดุฑุฉ ุณู†ุชูŠู…ุชุฑุง ุงู„ู€ measurement โ€ฆ ุงู„ู€
96
+
97
+ 25
98
+ 00:02:05,770 --> 00:02:11,410
99
+ measurement ุงู„ู„ูŠ ู‡ูŠ ุงู„ูƒู…ูŠุฉุŒ ุงู„ู€ inputุŒ ุงู„ู€ input to
100
+
101
+ 26
102
+ 00:02:11,410 --> 00:02:14,770
103
+ the measurement process ุงู„ู„ูŠ ู‡ูŠ ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุง
104
+
105
+ 27
106
+ 00:02:20,910 --> 00:02:25,590
107
+ ุทุจุนุงู‹ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุจุชู†ุชุฌ ุนู†ู‡ุง ู†ุชูŠุฌุฉุŒ ุนู…ู„ูŠุฉ
108
+
109
+ 28
110
+ 00:02:25,590 --> 00:02:31,110
111
+ ุงู„ู‚ูŠุงุณุงุช ุจุชู†ุชุฌ ุนู†ู‡ุง ู†ุชูŠุฌุฉ
112
+
113
+ 29
114
+ 00:02:31,110 --> 00:02:36,410
115
+ ุฒูŠ ู…ุง ุชู„ุงุญุธูˆุง ุนู„ู‰ ุงู„ู€ block diagram ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจูŠูƒูˆู†
116
+
117
+ 30
118
+ 00:02:36,410 --> 00:02:40,690
119
+ ููŠ ุนู†ุฏูŠ input ููŠ ุดูŠุก ุจุฏู‡ ู‚ูŠุงุณู‡ุŒ ูˆ ููŠ ุนู†ุฏูŠ process of
120
+
121
+ 31
122
+ 00:02:40,690 --> 00:02:44,970
123
+ comparison ุนู…ู„ูŠุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ู…ู…ูƒู† ุงู„ู€ process ุชูƒูˆู†
124
+
125
+ 32
126
+ 00:02:44,970 --> 00:02:48,550
127
+ ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ู…ู…ูƒู† ุชูƒูˆู† ุนู…ู„ูŠุฉ ู…ุนู‚ุฏุฉ ุฌุฏุงู‹ ุฃุจุณุท ู…ุง ูŠูƒูˆู†
128
+
129
+ 33
130
+ 00:02:48,550 --> 00:02:53,890
131
+ ุฃู† ุฃู‚ุงุฑู†ุŒ ุงู„ู€ process ุงู„ู„ูŠ ุฃู†ุง ุจู‚ุงุฑู† ุทูˆู„ ุงู„ุฌูˆุงู„ ู…ุน
132
+
133
+ 34
134
+ 00:02:53,890 --> 00:02:57,970
135
+ ู…ุตุฏุฑู‡ุŒ ู‡ุฐู‡ ุงู„ู€ process ุทุจุนุงู‹ ููŠ input ุนู„ู‰ ุนู…ู„ูŠุฉ
136
+
137
+ 35
138
+ 00:02:57,970 --> 00:03:01,570
139
+ ุงู„ู‚ูŠุงุณุงุช ููŠ ุนู†ุฏูŠ ุงู„ู€ inputุŒ ุงู„ุดุบู„ ุงู„ู„ูŠ ุจุฏู‡ ุฃู‚ูŠุณู‡ ูˆ
140
+
141
+ 36
142
+ 00:03:01,570 --> 00:03:07,520
143
+ ููŠ ุงู„ู€ standardุŒ ุงู„ู€ standard ู‡ูˆ ุฅูŠุดุŸ ุงู„ู…ุณุทุฑุฉ ูˆุงู„ู‚ุทุน
144
+
145
+ 37
146
+ 00:03:07,520 --> 00:03:12,460
147
+ ุงู„ู„ูŠ ุจุฏูŠ ุฃู‚ูŠูŠุณู‡ุงุŒ ู‡ูŠ ุฅูŠุด ุงู„ู€ inputุŒ ูˆุงู„ู€ result ู‡ูŠูƒูˆู†
148
+
149
+ 38
150
+ 00:03:12,460 --> 00:03:23,720
151
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ู„ูŠ ู‡ูŠ ุฅูŠุด ุทูˆู„ ุงู„ู‚ุทุน ุงู„ู„ูŠ ุจุฏูŠ ุฃู‚ูŠูŠุณู‡ุงุŒ ุงู„ู€
152
+
153
+ 39
154
+ 00:03:23,720 --> 00:03:27,620
155
+ meter is a clearly defined standard of lengthุŒ ุงู„ู€
156
+
157
+ 40
158
+ 00:03:27,620 --> 00:03:30,680
159
+ meter ู‡ูŠ ูˆุญุฏุฉ ู…ุนูŠุงุฑูŠุฉ ู„ู‚ูŠุงุณ ุงู„ุทูˆู„
160
+
161
+ 41
162
+ 00:03:36,790 --> 00:03:39,470
163
+ ุฅูŠุด ุงู„ู€ scope of mechanical measurementsุŸ ุฅูŠุด ุงู„ู„ูŠ
164
+
165
+ 42
166
+ 00:03:39,470 --> 00:03:43,530
167
+ ู‡ูˆ ู…ุฌุงู„ ุนู…ู„ ุงู„ู‚ูŠุงุณุงุช ุงู„ู‡ู†ุฏุณูŠุฉุŸ ุงุญู†ุง ููŠ ุงู„ู‡ู†ุฏุณุฉ
168
+
169
+ 43
170
+ 00:03:43,530 --> 00:03:48,470
171
+ ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ุจู†ู‚ูŠุณ ุงู„ูƒุชู„ุฉุŒ ุงู„ุทูˆู„ุŒ ุงู„ุฒู…ู†ุŒ ุฏุฑุฌุฉ
172
+
173
+ 44
174
+ 00:03:48,470 --> 00:03:54,390
175
+ ุงู„ุญุฑุงุฑุฉุŒ ุงู„ู‚ูˆุฉุŒ ุงู„ู€ strainุŒ ุงู„ุชุฏูู‚ุŒ ุงู„ุถุบุทุŒ ุงู„ุฅุฒุงุญุฉุŒ
176
+
177
+ 45
178
+ 00:03:54,390 --> 00:03:58,350
179
+ ุงู„ุณุฑ๏ฟฝ๏ฟฝุฉุŒ ุงู„ุนุฌู„ุฉุŒ ูˆุงู„ู€ linear ูˆุงู„ู€ angular
180
+
181
+ 46
182
+ 00:03:58,350 --> 00:03:58,930
183
+ measurements
184
+
185
+ 47
186
+ 00:04:05,210 --> 00:04:08,870
187
+ measurement of mechanical quantities also involves
188
+
189
+ 48
190
+ 00:04:08,870 --> 00:04:12,990
191
+ consideration of things electrical ุนู…ู„ูŠุฉ ู‚ูŠุงุณ
192
+
193
+ 49
194
+ 00:04:12,990 --> 00:04:16,290
195
+ ุงู„ูƒู…ูŠุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ูˆูŠุชุถู…ู† ุฃุดูŠุงุก ู„ู‡ุง ุนู„ุงู‚ุฉ
196
+
197
+ 50
198
+ 00:04:16,290 --> 00:04:19,910
199
+ ุจุงู„ูƒู‡ุฑุจุงุกุŒ ูƒุซูŠุฑ ู…ู† ุจุนุถ ุงู„ุฃุดูŠุงุก ุนุดุงู† ุฃู‚ูŠูŠุณ ุงู„ุญุฑุงุฑุฉ ูˆ
200
+
201
+ 51
202
+ 00:04:19,910 --> 00:04:27,120
203
+ ุฃุณุชุฎุฏู… ู…ุง ู‡ูˆ ู…ุฌุณู‘ุŒ ุงู„ู…ุฌุณู‘ ู‡ุฐุง ู„ู…ุง ูŠุณุฎู† ุจุชุชุบูŠุฑ ู…ู‚ุงูˆู…ุชู‡
204
+
205
+ 52
206
+ 00:04:27,120 --> 00:04:30,480
207
+ ุตุญุŸ ุฃู†ุง ุจู‚ูŠุณ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู† ุฎู„ุงู„ ู…ุนุฑูุฉ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†
208
+
209
+ 53
210
+ 00:04:30,480 --> 00:04:33,320
211
+ ุงู„ู…ู‚ุงูˆู…ุฉ ูˆุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุจุนุฑู ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู…ุง ู†ุฒู„
212
+
213
+ 54
214
+ 00:04:33,320 --> 00:04:38,590
215
+ ู†ุฏุฎู„ ุนู„ู‰ ุงู„ุฎุทุŒ ูˆุงุถุญุŸ ู…ูˆุถูˆุน ุงู„ูƒู‡ุฑุจุงุก it is often
216
+
217
+ 55
218
+ 00:04:38,590 --> 00:04:41,410
219
+ convenient or necessary ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ู† ุงู„ู…ุฑูŠุญ
220
+
221
+ 56
222
+ 00:04:41,410 --> 00:04:45,670
223
+ ุฃูˆ ู…ู† ุงู„ุถุฑูˆุฑูŠ to change or transduce mechanical
224
+
225
+ 57
226
+ 00:04:45,670 --> 00:04:47,810
227
+ measurement into a corresponding electrical
228
+
229
+ 58
230
+ 00:04:47,810 --> 00:04:51,990
231
+ quantity ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ุฃูˆ ุบุงู„ุจุงู‹ ู…ู† ุงู„ู…ุฑูŠุญ ู…ู†
232
+
233
+ 59
234
+ 00:04:51,990 --> 00:04:58,210
235
+ ุงู„ุถุฑูˆุฑูŠ ุฃู† ุฃู†ุง ุฃุบูŠู‘ุฑุŒ ุงู„ุดุบู„ ุจุฏูŠ ุฃู‚ูŠุณู‡ุŒ ุงู„ุญุฑุงุฑุฉ ุฃุญูˆู„ู‡ุง
236
+
237
+ 60
238
+ 00:04:58,210 --> 00:05:04,330
239
+ ุฅู„ูŠู‡ุง ู„ู…ู‚ุงูˆู…ุฉุŒ ุงู„ุญุฑุงุฑุฉ ุฃุญูˆู„ู‡ุง ู„ู€ voltage ุฃูˆ ู„ู€ current
240
+
241
+ 61
242
+ 00:05:04,330 --> 00:05:07,590
243
+ ูˆุฃู†ุง ุจุนุฏูŠู† ุจู‚ูŠุณ ุงู„ู€ voltage ุฃูˆ ุงู„ู€ current ุฃูˆ ู„ูŠู‡ุด
244
+
245
+ 62
246
+ 00:05:07,590 --> 00:05:10,330
247
+ ู„ู„ู…ู‚ุงูˆู…ุฉ ู…ู† ุฎู„ุงู„ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†ู‡ุง ูˆุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูุจุชูƒูˆู†
248
+
249
+ 63
250
+ 00:05:10,330 --> 00:05:14,570
251
+ ู…ุฑูŠุญุฉ ุฌุฏุงู‹ ูˆุนู…ู„ูŠุฉ ุณุฑูŠุนุฉ ูˆููŠ ุนู„ุงู‚ุงุช ูˆุงุถุญุฉ
252
+
253
+ 64
254
+ 00:05:19,440 --> 00:05:22,220
255
+ ุงู„ุขู† significance of mechanical measurementุŒ ุฅูŠุด
256
+
257
+ 65
258
+ 00:05:22,220 --> 00:05:27,220
259
+ ุฃู‡ู…ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉุŸ
260
+
261
+ 66
262
+ 00:05:27,220 --> 00:05:31,300
263
+ measuring provides quantitative information on the
264
+
265
+ 67
266
+ 00:05:31,300 --> 00:05:37,060
267
+ actual state of physical variablesุŒ ุงู„ู‚ูŠุงุณ ุนู…ู„ูŠุฉ
268
+
269
+ 68
270
+ 00:05:37,060 --> 00:05:44,430
271
+ ุงู„ู‚ูŠุงุณ ุจุชุนุทูŠู†ูŠ ู…ุนู„ูˆู…ุงุช ูƒู…ูŠุฉ ุนู† ุญุงู„ุฉ variable ู…ุนูŠู†
272
+
273
+ 69
274
+ 00:05:44,430 --> 00:05:49,250
275
+ ุฅูŠุดุŒ ูุฃู†ุง ุฃู‚ูŠูŠุณ ูƒู…ูŠุฉุŒ ู…ุง ูŠู†ูุนุด ูˆุงู„ู„ู‡ ุฃุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‚ุทุนุฉ
276
+
277
+ 70
278
+ 00:05:49,250 --> 00:05:54,990
279
+ ุงู„ู…ุนุฏู†ูŠุฉ ู‡ุฐู‡ ุณุฎู†ุฉ ุณุฎู†ุฉุŒ quantitative ูˆู„ุง
280
+
281
+ 71
282
+ 00:05:54,990 --> 00:06:02,030
283
+ qualitativeุŒ ู‡ุฐู‡ ูƒู… ุงู„ุณุฎูˆู†ุฉ ุจุงู„ู†ุณุจุฉ ู„ูƒุŒ ุจุงุฑุฏุŒ ู„ุงุŒ ุดูŠุก
284
+
285
+ 72
286
+ 00:06:02,030 --> 00:06:06,270
287
+ ุซุงู†ูŠ ุตุญุŒ ูุฃู†ุง ุงู„ู‚ูŠุงุณุงุช ุจุชุนุทูŠู†ูŠ quantitative ูŠุนู†ูŠ
288
+
289
+ 73
290
+ 00:06:06,270 --> 00:06:11,530
291
+ ุจุชุญูƒูŠู„ูƒ ู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุฏุฑุฌุฉ ุญุฑุงุฑุชู‡ุง ู…ุฆุฉุŒ ู…ุง ููŠุด ุณุฎู† ูˆุจุงุฑุฏ
292
+
293
+ 74
294
+ 00:06:11,530 --> 00:06:17,150
295
+ ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุซู„ุงู‹ ู…ุฆุฉ ููŠ ุชุดูƒูŠู„ ุญุฏูŠุฏ ุจุงุฑุฏ ุงู„ู…ุฆุฉ
296
+
297
+ 75
298
+ 00:06:17,150 --> 00:06:22,250
299
+ ุฃูˆ ู†ุญูƒูŠ ุฏุฑุฌุฉุŒ ุญุงู„ุฉ ุงู„ุบุฑูุฉ ููŠ ุชุดูƒูŠู„ ุงู„ุฒุฆุจู‚ ุจูŠูƒูˆู† ุฒูŠ
300
+
301
+ 76
302
+ 00:06:22,250 --> 00:06:26,050
303
+ ูˆุงู‚ู ููŠ ุญุงู„ุฉ ุงู„ุตุญุฑุงุก ุนุงู„ูŠุฉ ุฌุฏุงู‹ุŒ ู…ุถุบูˆุทุŒ ูุญูƒุงูŠุฉ ุณุฎู† ูˆ
304
+
305
+ 77
306
+ 00:06:26,050 --> 00:06:30,470
307
+ ุจุงุฑุฏ ุจุชุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ู€ variable ุฃูˆ ุจุงุฎุชู„ุงู ุงู„ุธุฑูˆู
308
+
309
+ 78
310
+ 00:06:30,470 --> 00:06:35,930
311
+ ุฃูˆ ุงู„ู…ุงุฏุฉ measurement is both the vehicle for new
312
+
313
+ 79
314
+ 00:06:35,930 --> 00:06:39,710
315
+ understanding of the physical world ุงู„ู‚ูŠุงุณุงุช ู‡ูŠ
316
+
317
+ 80
318
+ 00:06:39,710 --> 00:06:45,990
319
+ ุงู„ู…ุญุฑูƒ ู„ู„ูู‡ู… ู„ู„ุนุงู„ู… ุงู„ุญู‚ูŠู‚ูŠ and the ultimate test
320
+
321
+ 81
322
+ 00:06:45,990 --> 00:06:49,810
323
+ of any theory and design ูˆู‡ูŠ ุฃูƒุซุฑ ุดูŠุก ู…ู…ูƒู† ุฃูุญุต
324
+
325
+ 82
326
+ 00:06:49,810 --> 00:07:00,870
327
+ ููŠู‡ ุฃูŠ ู†ุธุฑูŠุฉ ุฃู†ุช ุจุชุญูƒูŠ ูˆุงู„ู„ู‡ ุฃู†ู‡ ุฅุฐุง ุฃุนุทูŠุช ู…ุซู„ุงู‹
328
+
329
+ 83
330
+ 00:07:00,870 --> 00:07:05,000
331
+ ุนู†ุฏูŠ heater ุจูŠุณุฎู‘ู† ู…ุงุกุŒ ุงู„ู€ heater ุงู„ู€ power ุจุชุงุนุชู‡ ูˆุงุญุฏ
332
+
333
+ 84
334
+ 00:07:05,000 --> 00:07:10,080
335
+ ูƒูŠู„ูˆูˆุงุทุŒ ุงู„ู…ูˆุงุตูุงุช ุชุญูƒูŠ ู„ู‡ โ€ฆ ู„ู€ meet liter ุจุนุฏ ุณุงุนุฉ
336
+
337
+ 85
338
+ 00:07:10,080 --> 00:07:19,020
339
+ ุงู„ู…ุงุก ุชุตู„ ุณุจุนูŠู† ุฏุฑุฌุฉุŒ ูƒูŠู ุฃุนุฑูุŸ ุจู‚ูŠุณุŒ ุจุนุฏ ุณุงุนุฉ ู‡ูˆ
340
+
341
+ 86
342
+ 00:07:19,020 --> 00:07:21,220
343
+ ุจูŠุญูƒูŠ ุจุชุตู„ ุณุจุนูŠู†ุŒ ูˆุตู„ุช ุฎู…ุณูŠู†
344
+
345
+ 87
346
+ 00:07:24,110 --> 00:07:27,690
347
+ ูˆุตู„ุช ุชุณุนูŠู†ุŒ ู…ุนู†ุงุชู‡ ุงู„ู†ุธุฑูŠุฉ ููŠู‡ุง ู…ุดูƒู„ุฉุŒ ุฃู†ุช ุงู„ุญุณุงุจ
348
+
349
+ 88
350
+ 00:07:27,690 --> 00:07:33,730
351
+ ุจุชุงุนูƒุŒ ุชุญูƒูŠุŒ ุชุญูƒูŠุŒ ุฃู†ุช ุจุนุฏ ุณุงุนุฉ ุงู„ู†ุธุฑูŠุฉ ู‡ูŠุตู„ ู„ุณุชูŠู† ููŠู‡
352
+
353
+ 89
354
+ 00:07:33,730 --> 00:07:38,170
355
+ ุฃู…ุง ู‡ูŠุตู„ โ€ฆ ู‡ูŠูƒูˆู† ุตุญ ูุนู„ุงู‹ ุจุนุฏ ุณุงุนุฉ ู‡ูŠุตูŠุฑ ุณุชูŠู†
356
+
357
+ 90
358
+ 00:07:38,170 --> 00:07:43,810
359
+ ุฏุฑุฌุฉ ุฃูˆ ุจุนุฏ ุฃุฑุจุนูŠู† ุฏู‚ูŠู‚ุฉ ุฃูˆ ุจุนุฏ ุซู…ุงู†ูŠู† ุฏู‚ูŠู‚ุฉ
360
+
361
+ 91
362
+ 00:07:43,810 --> 00:07:47,990
363
+ ู…ุนู†ุงุชู‡ ู‡ูŠ ุจุชูุญุต ุงู„ู€ theory ุจุชุชุฃูƒุฏ ู…ู† ู…ุฏู‰ ุฏู‚ุชู‡ุง
364
+
365
+ 92
366
+ 00:07:53,300 --> 00:07:59,160
367
+ ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ู‡ูˆ ุฃุณุงุณูŠ ู„ูƒู„ ุงู„ุจุญุซ ุงู„ุนู„ู…ูŠ ูˆุงู„ุชุทูˆูŠุฑ
368
+
369
+ 93
370
+ 00:07:59,160 --> 00:08:04,780
371
+ ูˆุงู„ุชุตู…ูŠู…
372
+
373
+ 94
374
+ 00:08:04,780 --> 00:08:11,380
375
+ ุฃูŠ
376
+
377
+ 95
378
+ 00:08:11,380 --> 00:08:18,900
379
+ ุนู…ู„ูŠุฉ ุชุตู…ูŠู… ู…ูŠูƒุงู†ูŠูƒูŠ ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุชุนู‚ูŠุฏู‡ ุชุชูƒูˆู† ู…ู†
380
+
381
+ 96
382
+ 00:08:18,900 --> 00:08:23,640
383
+ ุซู„ุงุซุฉ ุนู†ุงุตุฑุŒ ุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ experience element
384
+
385
+ 97
386
+ 00:08:23,640 --> 00:08:29,300
387
+ ุนู†ุตุฑ ุงู„ุฎุจุฑุฉุŒ ุงู„ุนู†ุตุฑ ุงู„ุซุงู†ูŠ rational elementุŒ ุงู„ุนู†ุตุฑ
388
+
389
+ 98
390
+ 00:08:29,300 --> 00:08:32,840
391
+ ุงู„ุซุงู„ุซ ุงู„ู€ experimental elementุŒ ููŠ ุงู„ู€ experience
392
+
393
+ 99
394
+ 00:08:32,840 --> 00:08:35,220
395
+ elementุŒ ุงู„ู€ experience element ุงู„ู„ูŠ ู‡ูˆ ุนู†ุตุฑ ุงู„ุฎุจุฑุฉ
396
+
397
+ 100
398
+ 00:08:36,090 --> 00:08:39,170
399
+ based on previous exposure to similar systemsุŒ ู‡ุฐุง
400
+
401
+ 101
402
+ 00:08:39,170 --> 00:08:42,530
403
+ ูŠุนุชู…ุฏ ุนู„ู‰ ุชุนุฑุถูƒ ู„ โ€ฆ ู„ โ€ฆ ู„ โ€ฆ ู„ โ€ฆ ู„ โ€ฆ ู„ โ€ฆ
404
+
405
+ 102
406
+ 00:08:42,530 --> 00:08:45,730
407
+ ู„ุฃุดูŠุงุก ู…ุดุงุจู‡ุฉ ู„ู„ู€ process ุงู„ู„ูŠ ุฃู†ุช ุดุบุงู„ ุนู„ูŠู‡ุง ุฃูˆ ุงู„ู€
408
+
409
+ 103
410
+ 00:08:45,730 --> 00:08:49,470
411
+ design process ุงู„ู„ูŠ ุฃู†ุช ุนู„ูŠู‡ and on engineeringโ€™s
412
+
413
+ 104
414
+ 00:08:49,470 --> 00:08:52,450
415
+ common sense ูˆุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ู€ common sense ุจุชุงุน
416
+
417
+ 105
418
+ 00:08:52,450 --> 00:08:56,510
419
+ ุงู„ู…ู‡ู†ุฏุณุŒ ุจุชุนุฏูŠ ูุชุฑุฉ ุจูŠุตูŠุฑ ุฃุฑุจุนูŠู† ุณู†ุฉ ููŠ ุจุนุถ ุงู„ุดุฑุท
420
+
421
+ 106
422
+ 00:08:56,510 --> 00:09:01,270
423
+ ุจุชุจุทู„ ุชุญุณุจู‡ุŒ ุจุชู„ุงู‚ูŠู‡ ุจูŠุตูŠุฑ ุฎู„ุงุตุŒ ุจุชู„ุงู‚ูŠู‡ ุฎู„ุงุต ุนู†ุฏูƒ
424
+
425
+ 107
426
+ 00:09:01,270 --> 00:09:04,220
427
+ ุงู„ู€ common sense ุฃู† ู‡ุฐู‡ ูƒุงููŠุฉุŒ ู‡ุฐู‡ ูƒุซูŠุฑุฉุŒ ู‡ุฐู‡ ู‚ู„ูŠู„ุฉุŒ ู‡ุฐุง
428
+
429
+ 108
430
+ 00:09:04,220 --> 00:09:06,020
431
+ ู‡ูˆ ุงู„ู€ common senseุŒ ุงู„ู€ common sense ุจู†ุจู†ูŠู‡ ุจุดูƒู„
432
+
433
+ 109
434
+ 00:09:06,020 --> 00:09:09,980
435
+ ุญุงู„ูŠุŒ ุจุฏูƒ ุชู…ุดูŠ ููŠ ูƒู„ ุงู„ู…ุฑุงุญู„ ุจุฏู‡ุง ุชุฌุฑุจุฉ ูˆู…ู…ุงุฑุณุฉ
436
+
437
+ 110
438
+ 00:09:09,980 --> 00:09:13,580
439
+ ุงู„ุนู†ุตุฑ ุงู„ุซุงู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ rational elementุŒ ุงู„ู€
440
+
441
+ 111
442
+ 00:09:13,580 --> 00:09:15,740
443
+ rational element ุจูŠุนุชู…ุฏ on a quantitative
444
+
445
+ 112
446
+ 00:09:15,740 --> 00:09:19,720
447
+ engineering principle ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ู…ุจุงุฏุฆ ุงู„ู‡ู†ุฏุณูŠุฉ
448
+
449
+ 113
450
+ 00:09:19,720 --> 00:09:23,720
451
+ ุงู„ูƒู…ูŠุฉ ูˆู‚ูˆุงู†ูŠู† ุงู„ููŠุฒูŠุงุก ูˆุงู„ุฑูŠุงุถูŠุงุช ูˆุงู„ู€
452
+
453
+ 114
454
+ 00:09:23,720 --> 00:09:28,600
455
+ biology ูˆุงู„ูƒูŠู…ูŠุงุกุŒ ุงู„ู€ experimental element
456
+
457
+ 115
458
+ 00:09:29,230 --> 00:09:33,950
459
+ ุงู„ุนู†ุตุฑ ุงู„ุชุฌุฑูŠุจูŠ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุฃู† ุฃู†ุง ุจุฃุฎุฐ ู‚ูŠุงุณุงุช
460
+
461
+ 116
462
+ 00:09:33,950 --> 00:09:40,630
463
+ ู„ูƒู…ูŠุงุช ู…ุฎุชู„ูุฉ ู…ุชุนู„ู‚ุฉ ุฃูˆ ู…ุฑุชุจุทุฉ ููŠ ุงู„ุนู…ู„ ุฃูˆ ุงู„ุฃุฏุงุก
464
+
465
+ 117
466
+ 00:09:40,630 --> 00:09:45,430
467
+ ู„ู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉุŒ ูุฃู†ุง ุนุดุงู† ุดูˆ ุงุณู…ู‡ ุฃุนู…ู„ design
468
+
469
+ 118
470
+ 00:09:45,430 --> 00:09:50,540
471
+ ู„ุงุฒู… ุฃุนู…ู„ ุชุฌุงุฑุจุŒ ุจู…ุนู†ู‰ ุฃู† ุฃูŠ design ุจุงุนุชู…ุงุฏ ุงู„ุซู„ุงุซุฉ
472
+
473
+ 119
474
+ 00:09:50,540 --> 00:09:53,040
475
+ ุนู†ุงุตุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ experience element ุฃูˆ ุงู„ู€ rational
476
+
477
+ 120
478
+ 00:09:53,040 --> 00:09:56,680
479
+ element ุฃูˆ ุงู„ู€ experimental elementุŒ ู„ุฃู† ุจุงู„ุฃุฎุฑ ู‡ูŠ
480
+
481
+ 121
482
+ 00:09:56,680 --> 00:10:04,620
483
+ ุงู„ู€ measurement ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู† ู…ุง ู‡ูˆ ู…ุทู„ูˆุจ
484
+
485
+ 122
486
+ 00:10:04,620 --> 00:10:13,340
487
+ ูˆุจูŠู† ู…ุง ู‡ูˆุŒ ูˆุจูŠู† ู…ุง ูŠู…ูƒู† ุงู„ูˆุตูˆู„ ุฅู„ูŠู‡ุŒ ูŠุนู†ูŠ ุจู…ุนู†ู‰ ุฃู†ุง
488
+
489
+ 123
490
+ 00:10:13,340 --> 00:10:16,840
491
+ ุจุฏูŠ ุฃูˆุตู„ ุงู„ุญุฑุงุฑุฉ ุงู„ู„ูŠ ุณุฎู‘ุงู† ุณุชูŠู† ุฏุฑุฌุฉุŒ ุจุณุชุฎุฏู…
492
+
493
+ 124
494
+ 00:10:16,840 --> 00:10:21,200
495
+ thermometer ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ุจุดูˆู ู‡ู„ ูˆุตู„ุช ุงู„ู€ intended
496
+
497
+ 125
498
+ 00:10:21,200 --> 00:10:25,280
499
+ ุงู„ู€ intended ุงู„ู…ุทู„ูˆุจุŒ ุฅูŠุด ู‡ูˆุŸ ุณุชูŠู†ุŒ ุงู„ู‚ูŠุงุณ ุฃุนุทุงู†ูŠ
500
+
501
+ 126
502
+ 00:10:25,280 --> 00:10:29,780
503
+ ุฎู…ุณูŠู†ุŒ ู…ุนู†ุงุชู‡ ู…ุง ูˆุตู„ุชุดุŒ ู…ุนู†ุงุชู‡ ุจู‚ู‰ ู‚ุฑุงุฑ ุจูŠุญูƒูŠ ู„ูŠ ูƒู…ู„
504
+
505
+ 127
506
+ 00:10:29,780 --> 00:10:35,180
507
+ ุณุฎู‘ู†ุŒ ูˆุตู„ุช ุงู„ุณุชูŠู†ุŒ ุจูŠุญูƒูŠ ู„ุฃุŒ ุงุชุฎุทูŠุชุŒ ุฃุทููุŒ ุฎู„ูŠู‡ ูŠุจุฑุฏ ูˆ
508
+
509
+ 128
510
+ 00:10:35,180 --> 00:10:35,580
511
+ ู‡ูƒุฐุง
512
+
513
+ 129
514
+ 00:10:40,590 --> 00:10:44,990
515
+ ุงู„ู€ measurement is a fundamental element of any
516
+
517
+ 130
518
+ 00:10:44,990 --> 00:10:48,470
519
+ control process ุฃูŠ ุนู…ู„ูŠุฉ ุงู„ุชุญูƒู… ูˆุงู„ุณูŠุทุฑุฉ ุจูŠูƒูˆู†
520
+
521
+ 131
522
+ 00:10:48,470 --> 00:10:56,210
523
+ ููŠู‡ุง ู‚ูŠุงุณุงุชุŒ ููƒุฑุฉ ุงู„ุชุญูƒู… ุจุชุทู„ุจ
524
+
525
+ 132
526
+ 00:10:56,210 --> 00:11:00,050
527
+ ุฃู† ุฃู†ุง ููŠ ุนู†ุฏูŠ intention ููŠ ุนู†ุฏูŠ ู†ูŠุฉ ู…ุนูŠู†ุฉ ุจุฏูŠ
528
+
529
+ 133
530
+ 00:11:00,050 --> 00:11:05,030
531
+ ุงู„ุญุฑุงุฑุฉ ุชุตู„ ุณุชูŠู†ุŒ ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉุŒ ุฃู†ุง ุจุฏูŠ ุฃุญูุธ ุฏุฑุฌุฉ
532
+
533
+ 134
534
+ 00:11:05,030 --> 00:11:09,410
535
+ ุญุฑุงุฑุฉ ุงู„ุณุฎุงู†ุฉ ุนู„ู‰ ุณุชูŠู†ุŒ ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉุŒ ุทู„ุนุช ุฎู…ุณูŠู†
536
+
537
+ 135
538
+ 00:11:09,410 --> 00:11:12,510
539
+ ู…ุนู†ุงุชู‡ ุฃู†ุง ุชุญุช ุงู„ุณุชูŠู†ุŒ ู…ุนู†ุงุช๏ฟฝ๏ฟฝ ุจุฃุฒูŠุฏ ุงู„ูƒู…ูŠุฉ
540
+
541
+ 136
542
+ 00:11:12,510 --> 00:11:16,690
543
+ difference ุนุดุฑ ุฏุฑุฌุงุชุŒ ูˆุงู„ุงุชุฌุงู‡ ู„ุฃุนู„ู‰ุŒ direction
544
+
545
+ 137
546
+ 00:11:16,690 --> 00:11:20,570
547
+ ู…ุนู†ุงุชู‡ ุณุฎู‘ู† ู„ุญุฏ ู…ุง ุชูˆุตู„ ุณุชูŠู†ุŒ ุฅุฐุง ูƒุงู†ุช ุงู„ุญุฑุงุฑุฉ ุงุซู†ูŠู†
548
+
549
+ 138
550
+ 00:11:20,570 --> 00:11:25,630
551
+ ูˆุณุชูŠู† ู…ุนู†ุงุชู‡ ุฃู†ุง ุฃุนู„ู‰ ู…ู† ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ุทู„ูˆุจุฉ
552
+
553
+ 139
554
+ 00:11:25,630 --> 00:11:31,910
555
+ ู…ุนู†ุงุชู‡ ุฃู†ุง ุจุญูƒูŠู„ู‡ ููŠ ูุฑู‚ ุงุซู†ูŠู†ุŒ ุงู†ุฒู„ุŒ ูŠุนู†ูŠ ุญุฏุฏุช ู„ู‡ ุงู„ู€
556
+
557
+ 140
558
+ 00:11:31,910 --> 00:11:35,510
559
+ difference ู…ูˆุฌุจ ุฃูˆ ุณุงู„ุจุŒ ุจู†ุงุกู‹ ุนู„ู‰ ุงู„ู…ูˆุฌุจ ูˆุงู„ุณุงู„ุจ
560
+
561
+ 141
562
+ 00:11:35,510 --> 00:11:37,070
563
+ ุญุฏุฏุช ู„ู‡ ุงู„ู€ directionุŒ ุฅูŠุด ูŠุณูˆูŠ
564
+
565
+ 142
566
+ 00:11:45,710 --> 00:11:49,030
567
+ ุทุจุนุงู‹ to be useful, measurement must be reliable
568
+
569
+ 143
570
+ 00:11:49,030 --> 00:11:53,150
571
+ ุนุดุงู† ุชูƒูˆู† ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณ ู…ููŠุฏุฉุŒ ู„ุงุฒู… ุชูƒูˆู† reliable
572
+
573
+ 144
574
+ 00:11:53,150 --> 00:11:57,090
575
+ ูŠุนู†ูŠ ุฅูŠุดุŸ reliable ุชูƒูˆู† ูŠุนุชู…ุฏ ุนู„ูŠู‡ุงุŒ ุชูƒูˆู† ูŠุนู†ูŠ ุณู„ูŠู…ุฉ
576
+
577
+ 145
578
+ 00:11:57,090 --> 00:12:02,550
579
+ having incorrect information ุฃู† ูŠูƒูˆู† ุนู†ุฏูŠ ู…ุนู„ูˆู…ุงุช
580
+
581
+ 146
582
+ 00:12:02,550 --> 00:12:06,850
583
+ ุฎุงุทุฆุฉ is potentially more damagingุŒ ู‡ุชูƒูˆู† ู…ุฏู…ุฑุฉ
584
+
585
+ 147
586
+ 00:12:06,850 --> 00:12:12,120
587
+ ุฃูƒุซุฑ ู…ุง ูŠูƒูˆู†ุด ุนู†ุฏูŠ ู…ุนู„ูˆู…ุงุชุŒ ุฅุฐุง ุฃุนุทูŠุช ู…ุนู„ูˆู…ุงุช ุบู„ุท
588
+
589
+ 148
590
+ 00:12:12,120 --> 00:12:15,120
591
+ ุฃุฎุทุฑ ุจูƒุซูŠุฑ ู…ุง ูŠูƒูˆู†ุด ุนู†ุฏูŠ ู…ุนู„ูˆู…ุงุชุŒ ู…ุง ุฃู†ุง ู…ุง ุนู†ุฏูŠุด
592
+
593
+ 149
594
+ 00:12:15,120 --> 00:12:17,320
595
+ ู…ุนู„ูˆู…ุงุชุŒ ู…ุง ุนู†ุฏูŠุด ู…ุนู„ูˆู…ุงุชุŒ ู…ุนู†ู‰ ุงู„ุฏู†ูŠุง ู…ูุชูˆุญุฉ
596
+
597
+ 150
598
+ 00:12:17,320 --> 00:12:22,340
599
+ ุฃู…ุงู…ูŠ ุฃู† ุฃูุญุต ูˆุฃุณุชู‚ุตูŠ ูˆุฃุนุฑูุŒ ู„ูƒู† ุฅุฐุง ุญุทูŠุช
600
+
601
+ 151
602
+ 00:12:22,340 --> 00:12:29,440
603
+ ู…ุนู„ูˆู…ุงุช ุบู„ุท ุญุตู„ุช ุงู„ู†ุชูŠุฌุฉ ุบู„ุทุŒ ุงู„ุขู†
604
+
605
+ 152
606
+ 00:12:29,440 --> 00:12:32,540
607
+ ุงู„ู€ fundamental methods of measurements ุงู„ู„ูŠ ู‡ูˆ
608
+
609
+ 153
610
+ 00:12:32,540 --> 00:12:37,820
611
+ ุงู„ุฃุณุงู„ูŠุจ ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„ู‚ูŠุงุณุงุชุŒ ููŠ ุนู†ุฏูŠ two basic
612
+
613
+ 154
614
+ 00:12:37,820 --> 00:12:40,860
615
+ methods of measurementุŒ ููŠ ุนู†ุฏูŠ ุทุฑูŠู‚ุชูŠู† ุฃุณุงุณูŠุชูŠู†
616
+
617
+ 155
618
+ 00:12:40,860 --> 00:12:43,740
619
+ ู„ู„ู‚ุงุณุงุชุŒ ููŠ ุนู†ุฏูŠ direct comparison with either a
620
+
621
+ 156
622
+ 00:12:43,740 --> 00:12:48,580
623
+ primary or secondary standard ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ุจุงุดุฑุฉ ู…ุน
624
+
625
+ 157
626
+ 00:12:48,580 --> 00:12:54,080
627
+ ุงู„ู„ูŠ ู‡ูˆ primary or secondary standard ุงู„ู„ูŠ ู‡ูˆ
628
+
629
+ 158
630
+ 00:12:54,080 --> 00:12:58,000
631
+ primary ุฃุณุงุณูŠ ูˆ secondary ุซุงู†ูˆูŠุŒ ู…ุนูŠุงุฑ ุฃุณุงุณูŠ ุฃูˆ
632
+
633
+ 159
634
+ 00:12:58,000 --> 00:13:04,220
635
+ ุซุงู†ูˆูŠุŒ ุงู„ู…ุนูŠุงุฑ ุงู„ุฃุณุงุณูŠ ููŠ ุงู„ุทูˆู„ ุฅูŠุด ู‡ูˆุŸ ุงู„ู…ุชุฑุŒ ูˆูŠู†
636
+
637
+ 160
638
+ 00:13:04,220 --> 00:13:08,870
639
+ ู…ูˆุฌูˆุฏุŸ ู…ูˆุฌูˆุฏ ููŠ ูุฑู†ุณุงุŒ ุจุงุฑูŠุณุŒ ู‡ุฐุง ู‡ูˆ ุงู„ู€ standardุŒ ุฃูŠ
640
+
641
+ 161
642
+ 00:13:08,870 --> 00:13:11,690
643
+ ุฃุดูŠุงุก ู…ุดุชู‚ุฉ ู…ู†ู‡ุŒ secondaryุŒ ุงู„ู…ุชุฑ ุฃู†ุง ุจุณุชุฎุฏู…ู‡
644
+
645
+ 162
646
+ 00:13:11,690 --> 00:13:17,750
647
+ ุงู„ู…ุตุทู„ุญุงุช ูƒู„ู‡ุง ุฅูŠุดุŸ secondary ุจุงู„ุถุจุทุŒ ุฃูˆ indirect
648
+
649
+ 163
650
+ 00:13:17,750 --> 00:13:21,630
651
+ comparative system ุฃูˆ ู…ู† ุฎู„ุงู„ ุงู„ู‚ูŠุงุณ ุงู„ุบูŠุฑ ู…ุจุงุดุฑ
652
+
653
+ 164
654
+ 00:13:21,630 --> 00:13:27,050
655
+ ู…ู† ุฎู„ุงู„ system ู…ุนูŠู‘ุงุฑุŒ ุฒูŠ ุญูƒุงูŠุฉ ุฃู† ุฃู‚ูŠูŠุณ ุงู„ุญุฑุงุฑุฉ
656
+
657
+ 165
658
+ 00:13:27,050 --> 00:13:32,590
659
+ ุจุงู„ุญุฑุงุฑุฉุŒ ู„ุงุŒ ู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ุชุบูŠุฑ ุงู„ู…ู‚ุงูˆู…ุฉ
660
+
661
+ 166
662
+ 00:13:32,590 --> 00:13:35,150
663
+ ุฃู†ุง ุฃู‚ูŠูŠุณ ุงู„ุญุฑุงุฑุฉ ุจุดูƒู„ ุบูŠุฑ ู…ุจุงุดุฑุŒ indirect
664
+
665
+ 167
666
+ 00:13:39,790 --> 00:13:43,150
667
+ ุทูŠุจ ุฃู†ุง ุญุงุทุท exampleุŒ how would you measure the
668
+
669
+ 168
670
+ 00:13:43,150 --> 00:13:46,830
671
+ length of a bar of steelุŒ ู…ูˆุฌูˆุฏ ุงู„ุตูˆุฑุฉ ุนู„ู‰ ุงู„ูŠู…ูŠู†ุŒ ุนู†ุฏูŠ
672
+
673
+ 169
674
+ 00:13:46,830 --> 00:13:51,930
675
+ ู…ุชุฑ ุจูˆุญุฏุฉ ุงู„ู€ inchุŒ ุฃุตุบุฑ ู‚ูŠุงุณ ููŠู‡ ุซู…ุงู†ูŠุฉ ุฃู†ุดุŒ ุซู…ุงู†ูŠุฉ ุฃู†ุด
676
+
677
+ 170
678
+ 00:13:51,930 --> 00:13:55,050
679
+ ุซู…ุงู†ูŠุฉ ุฃู†ุด ูŠุนู†ูŠ ุญูˆุงู„ูŠ ุซู„ุงุซุฉ ู…ู„ูŠุŒ ุซู„ุงุซุฉ ูˆู†ุตู ู…ู„ูŠ
680
+
681
+ 171
682
+ 00:13:55,050 --> 00:14:00,970
683
+ ุชู‚ุฑูŠุจุงู‹ ุซู„ุงุซุฉ ู…ู„ูŠุŒ ุฅุฐุง ุฃู†ุง ูƒู†ุช ูŠุนู†ูŠ ุงู„ู€ โ€ฆ ุงู„ู€ โ€ฆ ุงู„ู€
684
+
685
+ 172
686
+ 00:14:00,970 --> 00:14:03,850
687
+ โ€ฆ ุงู„ู€ โ€ฆ ุงู„ุฏู‚ุฉ ู‡ุฐู‡ ุซู…ุงู†ูŠุฉ ุฃู†ุด ุฃูˆ ุซู„ุงุซุฉ ู…ู„ูŠ ูƒุงููŠุฉ ู„ู„ู€
688
+
689
+ 173
690
+ 00:14:03,850 --> 00:14:05,510
691
+ applicationุŒ ุฃู†ุช ู…ุซู„ุงู‹ ููŠ ุญุงู„ุฉ ุงู„ุทุงูˆู„ุฉ
692
+
693
+ 174
694
+ 00:14:08,540 --> 00:14:13,640
695
+ ู…ู…ูƒู† ุฃุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชุฑุŒ ู‡ุฐุง ุงู„ู„ูŠ ุจุณูˆูŠู‡ุŒ ุฃู†ุง ุจู‚ุงุฑู†
696
+
697
+ 175
698
+ 00:14:13,640 --> 00:14:19,640
699
+ ุจูุชุญ ุงู„ู…ุชุฑ ูˆุจู‚ุงุฑู†ุŒ ู‡ุฐุง ุงู„ู…ุชุฑ primary ูˆู„ุง secondary
700
+
701
+ 176
702
+ 00:14:19,640 --> 00:14:27,520
703
+ standardุŒ primary secondaryุŒ secondary standardุŒ ูุฃู†ุง
704
+
705
+ 177
706
+ 00:14:27,520 --> 00:14:32,400
707
+ ุจู‚ุงุฑู†ุŒ ุจุดูˆู ูˆุงู„ู„ู‡ ุฅู† ู‡ุฐุง ุนู„ู‰ ุงู„ู…ุชุฑุŒ ุฃู†ุง ู‚ุงุฑู†ุช ุงู„ู…ุชุฑ
708
+
709
+ 178
710
+ 00:14:32,400 --> 00:14:38,590
711
+ ู…ุฏุฑู‘ุฌุŒ ุทู„ุน ุณุจุนุฉ ุนุดุฑ ุณู†ุชูŠู…ุชุฑุงู‹ุŒ ู…ุนู†ุงุชู‡ ุฃู†ุง ู‚ุงุฑู†ุช ุจูŠู† ุงู„ุทูˆู„
712
+
713
+ 179
714
+ 00:14:38,590 --> 00:14:42,810
715
+ ุจุชุงุน ู‡ุฐุง ูˆุงู„ู„ูŠ ู‡ูˆ secondary standard ุนุดุงู† ุฃุญุตู„
716
+
717
+
718
+ 223
719
+ 00:18:13,840 --> 00:18:18,540
720
+ voltage ุงู„ู‚ู„ูŠู„ ุฌุฏุงู‹ ุงู„ุชุบูŠุฑุŒ ูู…ุญุชุงุฌ ุฃุนู…ู„ู‡ ุฅูŠุดุŸ ุชูƒุจูŠุฑ
721
+
722
+ 224
723
+ 00:18:18,540 --> 00:18:24,180
724
+ ูููŠ ู…ู†ุธูˆู…ุฉ ูƒุงู…ู„ุฉุŒ ุงู„ู„ูŠ ู‡ูˆ ุนุดุงู† ุฃุนู…ู„ ุนู…ู„ูŠุฉ ุงู„ุชุญูˆูŠู„
725
+
726
+ 225
727
+ 00:18:29,210 --> 00:18:33,230
728
+ ุนุดุงู† ุฃุฌูŠุจ ู…ุซุงู„ human sensesุŒ ุงู„ู„ูŠ ู‡ูˆ ุญูˆุงุณ ุงู„ุฅู†ุณุงู†ุŒ ุบูŠุฑ
729
+
730
+ 226
731
+ 00:18:33,230 --> 00:18:36,810
732
+ ู…ุตู…ู…ุŒ ูˆุบูŠุฑ ู‚ุงุฏุฑ ุฅู†ู‡ุง ุชุฌูŠุจ
733
+
734
+ 227
735
+ 00:18:38,730 --> 00:18:42,490
736
+ ุงู„ู€ deformation ููŠ ุงู„ู€ machine elementsุŒ ุฅุฐุง ุนู†ุฏูŠ
737
+
738
+ 228
739
+ 00:18:42,490 --> 00:18:45,730
740
+ ู‚ุทุนุฉ ููŠ ุงู„ุณูŠุงุฑุฉ ุจูŠุตูŠุฑ ููŠู‡ุง deformationุŒ ุจุณ ุฅุญู†ุง
741
+
742
+ 229
743
+ 00:18:45,730 --> 00:18:50,370
744
+ ุจู†ุดูˆูู‡ุงุด ุฃูˆ ุจู†ู„ุงุญุธู‡ุงุด ู„ุฃู†ู‡ุง ุตุบูŠุฑุฉ ุฌุฏุงู‹ุŒ ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ
745
+
746
+ 230
747
+ 00:18:50,370 --> 00:18:55,470
748
+ ู„ู…ุณุงุนุฏุฉ ู…ู† ู†ุธุงู… ู…ู…ูƒู† ูŠุนู…ู„ sensingุŒ ุจุณุชุฎุฏู… ู…ุซู„ุงู‹ ุฅูŠุดุŸ
749
+
750
+ 231
751
+ 00:18:55,470 --> 00:19:00,430
752
+ ุงุณู…ู‡ strain gaugesุŒ ุจุชุฌุณู‘...ุจุชุฌุณู‘ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„
753
+
754
+ 232
755
+ 00:19:00,430 --> 00:19:04,050
756
+ ุณูˆุงุก ุฒูŠุงุฏุฉ ุฃูˆ ู†ู‚ุตุงู†ุŒ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„ ุจุชุบูŠู‘ุฑ...ุจุชุญูˆู‘ู„
757
+
758
+ 233
759
+ 00:19:04,050 --> 00:19:09,020
760
+ ู„ุชุบูŠุฑ ููŠ ุงู„...ุงู„...ุงู„ู…ู‚ุงูˆู…ุฉุŒ ุฃูˆ ุจูŠุณุชูˆู„ุฏ ุนู†ุฏูŠ
761
+
762
+ 234
763
+ 00:19:09,020 --> 00:19:13,160
764
+ voltage differenceุŒ ุฒูŠ ู…ุซู„ุงู‹ ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„...ุงู„
765
+
766
+ 235
767
+ 00:19:13,160 --> 00:19:17,740
768
+ piezoelectricุŒ ุงู„ู„ูŠ ู‡ูŠ piezoelectric materialุŒ ุฒูŠ
769
+
770
+ 236
771
+ 00:19:17,740 --> 00:19:19,960
772
+ ุงู„ู…ุณุชุฎุฏู… ููŠ ุงู„ุฌูˆุงู„ุงุช ุฃูˆ ููŠ ุงู„ุณุงุนุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ุฃูˆ
773
+
774
+ 237
775
+ 00:19:19,960 --> 00:19:23,300
776
+ ููŠ ุงู„ู€ computerุŒ ุงู„ู„ูŠ ุจุชุนู…ู„...ุงู„ู„ูŠ ุจุชุนู…ู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€
777
+
778
+ 238
779
+ 00:19:23,300 --> 00:19:25,580
780
+ pulse ุจุชุงุนุฉ ุงู„ู€ computerุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุณุงุนุฉ ุงู„ู€ clock
781
+
782
+ 239
783
+ 00:19:25,580 --> 00:19:28,580
784
+ ุจุชุงุนุฉ ุงู„ู€ computerุŒ ุจูŠุณุชุฎุฏู… ู…ุงุฏุฉ ุงุณู…ู‡ุง piezoelectric
785
+
786
+ 240
787
+ 00:19:28,580 --> 00:19:36,040
788
+ ุฅุฐุง ุงู„ู…ุงุฏุฉ ู‡ุฐู‡ ุจูŠุนุทูŠู‡ุง voltage differenceุŒ ุจุฒูŠุฏ
789
+
790
+ 241
791
+ 00:19:36,040 --> 00:19:43,260
792
+ ุทูˆู„ู‡ุงุŒ ุจุชุบูŠู‘ุฑ ุทูˆู„ู‡ุงุŒ ุฅุฐุง ุงู„ุนูƒุณุŒ ุจุจู‚ู‰ displacement
793
+
794
+ 242
795
+ 00:19:43,260 --> 00:19:50,420
796
+ ุจุชุนุทูŠู†ูŠ voltageุŒ ุจุชุนุทูŠู†ูŠ ุฅูŠุดุŸ voltageุŒ ู ุฃู†ุง ุจุตูŠุฑ
797
+
798
+ 243
799
+ 00:19:50,420 --> 00:19:54,500
800
+ ุนู…ู„ูŠุฉ ู…ุญุชุงุฌ ู„ุฃุฌู‡ุฒุฉ ุชู†ู‚ู„ ุงู„ุฌุณู‘ ู‡ุฐู‡ ุงู„ุชุบูŠุฑุงุช ุจุฏู‚ุฉ
801
+
802
+ 244
803
+ 00:19:54,500 --> 00:20:01,240
804
+ ุนุงู„ูŠุฉ ุฌุฏุงู‹ุŒ ู‡ุฐู‡
805
+
806
+ 245
807
+ 00:20:01,240 --> 00:20:12,570
808
+ ุงู„ู€ NTC ูˆ ุงู„ู€ PTCุŒ ู…ู‚ุงูˆู…ุฉ ุงู„ุญุฑุงุฑุฉุŒ ุฅูŠุด ุงู„ู€ NTCุŸ ุงู„ู€ Pt...Pt...Pt...
809
+
810
+ 246
811
+ 00:20:12,570 --> 00:20:16,750
812
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
813
+
814
+ 247
815
+ 00:20:16,750 --> 00:20:17,870
816
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
817
+
818
+ 248
819
+ 00:20:17,870 --> 00:20:18,650
820
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
821
+
822
+ 249
823
+ 00:20:18,650 --> 00:20:23,590
824
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
825
+
826
+ 250
827
+ 00:20:23,590 --> 00:20:24,110
828
+ Pt Pt Pt Pt Pt Pt
829
+
830
+ 251
831
+ 00:20:32,800 --> 00:20:38,320
832
+ ู„ู„ู…ู‚ุงูˆู…ุฉุŒ ุจุชู…ุฑ ููŠ...ู…ู† ุงู„ุถุฑูˆุฑูŠ ุฃู†ูŠ ุฃุนู…ู„...ุฃุฒูˆู‘ุฏ
833
+
834
+ 252
835
+ 00:20:38,320 --> 00:20:41,860
836
+ ุงุฑุชูุงุน ุงู„ู…ูˆุฌุฉุŒ ุงู„ู€ amplitudeุŒ ุฃูˆ ุฃุนุทูŠ...ุจุฏู‡ุง power
837
+
838
+ 253
839
+ 00:20:41,860 --> 00:20:44,940
840
+ ุฃูˆ...ุฃูˆ ุงู„ู€ power through some form of
841
+
842
+ 254
843
+ 00:20:44,940 --> 00:20:49,040
844
+ amplificationุŒ ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุงุช ุชูƒุจูŠุฑุŒ ุชูƒุจูŠุฑ ู‡ุฐุง ุดุบู„
845
+
846
+ 255
847
+ 00:20:49,040 --> 00:20:49,600
848
+ ูƒู‡ุฑุจุงุฆูŠ
849
+
850
+ 256
851
+ 00:20:52,260 --> 00:20:54,520
852
+ or it may be necessary to extract the desired
853
+
854
+ 257
855
+ 00:20:54,520 --> 00:20:57,220
856
+ information from a mass of extraneous input by a
857
+
858
+ 258
859
+ 00:20:57,220 --> 00:21:00,480
860
+ process of filteringุŒ ู„ุฃู† ู„ู…ุง ุฃุนู…ู„ู‡ุง ุจุชุทู„ุน ุงู„ู€ signal
861
+
862
+ 259
863
+ 00:21:00,480 --> 00:21:04,180
864
+ ุนู†ุฏูŠุŒ ู…ุชุทู„ุนุด perfectุŒ ูˆ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉุŒ ุชุทู„ุน ุจูŠูƒูˆู†
865
+
866
+ 260
867
+ 00:21:04,180 --> 00:21:14,620
868
+ ููŠู‡ุงุŒ ุจุทู„ุน ุจูŠูƒูˆู† ููŠู‡ุง noiseุŒ ู…ุชุทู„ุนุด ุฒูŠ ู‡ูŠูƒ ู…ุซู„ุงู‹ ู‡ุฐุง
869
+
870
+ 261
871
+ 00:21:14,620 --> 00:21:21,020
872
+ ุงู„ู„ูŠ ุญูˆุงู„ูŠู†ุŒ ุงู„ู…ูุฑูˆุถ ุงู„ู€ smoothุŒ ู…ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒุŒ ูู‡ุฐุง
873
+
874
+ 262
875
+ 00:21:21,020 --> 00:21:27,720
876
+ ุจูŠุณู…ู‘ูˆู†ู‡ noiseุŒ ุจูŠุตูŠุฑ ู†ุธุงู… ูู„ุชุฑุฉ ุจูŠุดูŠู„ ุงู„ู€ noise ู‡ุฐู‡
877
+
878
+ 263
879
+ 00:21:27,720 --> 00:21:32,700
880
+ ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ุชุญูˆูŠู„ุŒ in each of the various casesุŒ ููŠ
881
+
882
+ 264
883
+ 00:21:32,700 --> 00:21:35,920
884
+ ุงู„ุญุงู„ุงุช ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ุฐูƒุฑู†ุงู‡ุงุŒ ุงู„ู„ูŠ ุจุชุทู„ุจ ุณูˆุงุก ุชูƒุจูŠุฑ
885
+
886
+ 265
887
+ 00:21:35,920 --> 00:21:42,460
888
+ ุฃูˆ ูู„ุชุฑุฉุŒ ุฃูˆ remote recordingุŒ ุงู„ุชุณุฌูŠู„ ุนู† ุจุนุฏุŒ ุงู„ูƒู‡ุฑุจุงุก
889
+
890
+ 266
891
+ 00:21:42,460 --> 00:21:48,340
892
+ ุจุชุฏุฎู„ ุจู‚ูˆุฉ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ุŒ ุทูŠุจ
893
+
894
+ 267
895
+ 00:21:48,340 --> 00:21:53,890
896
+ ููŠ ู…ุง ูŠุณู…ู‘ู‰ ุงู„ู€ generalized measuring systemุŒ ุงู„ู„ูŠ ู‡ูˆ
897
+
898
+ 268
899
+ 00:21:53,890 --> 00:21:57,790
900
+ ู†ุธุงู… ุงู„ู‚ูŠุงุณุงุช ุงู„ุนุงู…ุŒ generalized measuring system
901
+
902
+ 269
903
+ 00:21:57,790 --> 00:22:01,810
904
+ most measuring systems consist of three stages
905
+
906
+ 270
907
+ 00:22:01,810 --> 00:22:07,290
908
+ ู…ุนุธู… ุนู…ู„ูŠุงุช ุงู„ู‚ูŠุงุณ ุชุชูƒูˆู† ู…ู† ุซู„ุงุซ ู…ุฑุงุญู„ุŒ ุงู„ู€ stage
909
+
910
+ 271
911
+ 00:22:07,290 --> 00:22:15,470
912
+ ุงู„ุฃูˆู„ุŒ ุฃู†ุง ุจุฌุณู‘ุŒ ุจูƒูˆู† ุนู†ุฏูŠ ู…ุง ุจุฌุณู‘ุŒ ุจุนู…ู„ sensing ู„ู„ู€
913
+
914
+ 272
915
+ 00:22:15,470 --> 00:22:17,930
916
+ variableุŒ ุฃู†ุง ุจุฏูŠ ุฃุนู…ู„ sensing ู„ู„ุญุฑุงุฑุฉุŒ ุจุฏูŠ ุฃุนู…ู„
917
+
918
+ 273
919
+ 00:22:17,930 --> 00:22:21,230
920
+ sensing ู„ู„ู€ displacementุŒ ูˆ
921
+
922
+ 274
923
+ 00:22:21,230 --> 00:22:24,470
924
+ ู‡ูƒุฐุงุŒ ู‡ุฐุง ุงู„ู€ stage ุงู„ุฃูˆู„ุŒ ุงู„ู„ูŠ ู‡ูŠ detection ูˆ
925
+
926
+ 275
927
+ 00:22:24,470 --> 00:22:28,450
928
+ transductionุŒ ูŠุนู†ูŠ ุจุนู…ู„ detection ูˆ I transform
929
+
930
+ 276
931
+ 00:22:28,450 --> 00:22:32,510
932
+ transducerุŒ ูŠุนู†ูŠ ุจูŠุบูŠู‘ุฑุŒ ุฃู†ุง ุฃdetect temperatureุŒ
933
+
934
+ 277
935
+ 00:22:32,510 --> 00:22:38,830
936
+ ุจุบูŠู‘ุฑู‡ุงุŒ ุจุญูˆู‘ู„ู‡ุง ู„ุฅูŠุดุŸ ู„ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉุŒ ู‡ุฐุง ุงู„ู€ stage
937
+
938
+ 278
939
+ 00:22:38,830 --> 00:22:46,860
940
+ ุงู„ู„ูŠ ู‡ูŠ detection ูˆ transducerุŒ ูŠุนู†ูŠ ุจุฌุณู‘ ุงู„ุญุฑุงุฑุฉุŒ
941
+
942
+ 279
943
+ 00:22:46,860 --> 00:22:53,780
944
+ ุจุนุฏูŠู† ุจุญูˆู‘ู„ู‡ุง ู„ุดูŠุก ุซุงู†ูŠุŒ ุงู„ู„ูŠ ู‡ูŠ ู…ู‚ุงูˆู…ุฉุŒ voltage
945
+
946
+ 280
947
+ 00:22:53,780 --> 00:22:58,420
948
+ whateverุŒ stage twoุŒ ุงู„ู„ูŠ ู‡ูˆ signal conditioning
949
+
950
+ 281
951
+ 00:22:59,880 --> 00:23:03,740
952
+ conditionุŒ ูŠุนู†ูŠ ุจุธุจู‘ุท ุงู„ู€ signalุŒ ุฅุฐุง ููŠู‡ุง noiseุŒ
953
+
954
+ 282
955
+ 00:23:03,740 --> 00:23:10,480
956
+ ุจุดูŠู„ู‡ุงุŒ ุฅุฐุง ุจุฏู‡ุง ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ูู„ุชุฑุฉุŒ ุฅุฐุง ุจุฏู‡ุง
957
+
958
+ 283
959
+ 00:23:10,480 --> 00:23:16,880
960
+ ู…ุซู„ุงู‹ ุชูƒุจูŠุฑุŒ ุจูƒุจู‘ุฑู‡ุงุŒ ุฅุฐุง ุจุฏู‡ุง ุนู…ู„ integrationุŒ some
961
+
962
+ 284
963
+ 00:23:16,880 --> 00:23:19,200
964
+ ูŠุนู†ูŠุŒ ุจุนู…ู„ู‡ุง integrationุŒ ุฅุฐุง ุจุฏู‡ุง ุนู…ู„ู‡ุง
965
+
966
+ 285
967
+ 00:23:19,200 --> 00:23:21,320
968
+ differentiationุŒ ุชุฌุฒูŠุกุŒ ุจุนู…ู„ู‡ุง differentiationุŒ ู‡ุฐู‡
969
+
970
+ 286
971
+ 00:23:21,320 --> 00:23:26,140
972
+ ูƒู„ ุนู…ู„ูŠุฉ ุชุณู…ู‘ู‰ ุงู„ู„ูŠ ู‡ูˆ conditioning stageุŒ ุงู„ู€ stage
973
+
974
+ 287
975
+ 00:23:26,140 --> 00:23:30,800
976
+ ุงู„ุซุงู„ุซุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ stage ุฅู†ู‡ุง read outุŒ ุจุชุทู„ุน ุงู„ู€
977
+
978
+ 288
979
+ 00:23:30,800 --> 00:23:36,280
980
+ resultุŒ read outุŒ ุจูŠูƒูˆู† ู…ู…ูƒู† ุนู„ู‰ ุดูƒู„ digital ุฃูˆ ุนู„ู‰
981
+
982
+ 289
983
+ 00:23:36,280 --> 00:23:42,180
984
+ ุดูƒู„ ู…ุคุดู‘ุฑ ุฃูˆ ุนู„ู‰ ุดูƒู„ graphical ุนู„ู‰ ุงู„ู€ computerุŒ ุนู„ู‰
985
+
986
+ 290
987
+ 00:23:42,180 --> 00:23:47,160
988
+ ุดูƒู„ ุฅุถุงุกุฉุŒ ุฃุดูƒุงู„ ู…ุฎุชู„ูุฉ ู„ู„ู€ read out ู„ู„ู€ resultุŒ ู…ุนู†ุงุชู‡
989
+
990
+ 291
991
+ 00:23:47,160 --> 00:23:51,380
992
+ ุนู†ุฏูŠ ุงู„ู€ measuring systemุŒ ุจุชูƒูˆู† ุดูƒู„ู‡ุง ุฃุณุงุณ ู…ู† ุซู„ุงุซ
993
+
994
+ 292
995
+ 00:23:51,380 --> 00:23:55,180
996
+ stagesุŒ ุงู„ู„ูŠ ู‡ูˆ detectionุŒ transduction stageุŒ
997
+
998
+ 293
999
+ 00:23:55,940 --> 00:23:59,540
1000
+ signal conditioning stageุŒ ูˆ read out recording
1001
+
1002
+ 294
1003
+ 00:23:59,540 --> 00:24:04,140
1004
+ stageุŒ ุนู†ุฏูŠ ู‡ูŠ ุงู„ุดูƒู„ ุงู„ู…ุจูŠู‘ู†
1005
+
1006
+ 295
1007
+ 00:24:07,180 --> 00:24:13,040
1008
+ ู‡ุฐู‡ ุงู„ู€ block diagram ู„ุฌู‡ุงุฒ ุงู„ู€ measuring systemุŒ ุฃูˆู„
1009
+
1010
+ 296
1011
+ 00:24:13,040 --> 00:24:14,680
1012
+ ุดูŠุกุŒ ุจุชุฏุฎู„ ุนู†ุฏูƒ ุงู„ู€ measurandุŒ ุงู„ู€ measurand ู‡ูŠ ุงู„ู€ input
1013
+
1014
+ 297
1015
+ 00:24:14,680 --> 00:24:17,580
1016
+ quantity to be measuredุŒ input quantity to be
1017
+
1018
+ 298
1019
+ 00:24:17,580 --> 00:24:23,300
1020
+ measuredุŒ ู‡ุฐู‡ ู‡ูŠ ุฅูŠุดุŸ ุงู„ู€ inputุŒ ููŠ ุนู†ุฏูŠ sensor ุจุฌุณู‘
1021
+
1022
+ 299
1023
+ 00:24:23,300 --> 00:24:30,460
1024
+ ุงู„ุญุฑุงุฑุฉุŒ ู…ุณุชุดุนุฑุŒ ุงู„ู…ุณุชุดุนุฑ ุจูŠุญูˆู‘ู„ ู…ุซู„ุงู‹ ุงู„ุญุฑุงุฑุฉ ู„...
1025
+
1026
+ 300
1027
+ 00:24:30,460 --> 00:24:34,580
1028
+ ู„ู…ู‚ุงูˆู…ุฉุŒ ู‡ู†ุง ููŠ ุงู„ู€ stage ุงู„ุซุงู†ูŠ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ
1029
+
1030
+ 301
1031
+ 00:24:34,580 --> 00:24:38,760
1032
+ single signal conditioningุŒ single signal
1033
+
1034
+ 302
1035
+ 00:24:38,760 --> 00:24:40,840
1036
+ conditioningุŒ ู…ู…ูƒู† ูŠูƒูˆู† amplificationุŒ ู…ู…ูƒู†
1037
+
1038
+ 303
1039
+ 00:24:40,840 --> 00:24:43,620
1040
+ filteringุŒ integrationุŒ differentiationุŒ ููŠ ุดูŠุก ุงุซู†ูŠู†
1041
+
1042
+ 304
1043
+ 00:24:43,620 --> 00:24:47,360
1044
+ ู…ู…ูƒู† ู†ุณูˆู‘ูŠู‡ ูƒู„ู‡ุŒ ุนู…ู„ูŠุงุช ู…ุนุงู„ุฌุฉ ู„ู„ู€ signal ุงู„ู„ูŠ ุชู…ู‘
1045
+
1046
+ 305
1047
+ 00:24:47,360 --> 00:24:52,580
1048
+ ุชุญูˆูŠู„ู‡ุงุŒ ู‡ู†ุง ุฃู†ุง ุฃุฎุฏุช ุญุฑุงุฑุฉุŒ ุจุณ ู‡ู†ุง ุญูˆู‘ู„ุช ุงู„ุญุฑุงุฑุฉ ุตุงุฑุช
1049
+
1050
+ 306
1051
+ 00:24:52,580 --> 00:24:56,060
1052
+ ุดูŠุก ุซุงู†ูŠุŒ ุตุงุฑุช ู…ู‚ุงูˆู…ุฉ ู…ุซู„ุงู‹ุŒ ุจุนุฏูŠู† ู‡ู†ุง ุฃู†ุง ุจุจุฏุฃ ุฃุธุจู‘ุท
1053
+
1054
+ 307
1055
+ 00:24:56,060 --> 00:25:00,030
1056
+ ุงู„ู€ signalุŒ ุฃุนุงู„ุฌู‡ุงุŒ ุฃูƒุจู‘ุฑู‡ุงุŒ ุฃูู„ุชู‘ุฑู‡ุงุŒ ุนุดุงู† ุฅูŠุดุŸ ุฃู‚ุฏุฑ
1057
+
1058
+ 308
1059
+ 00:25:00,030 --> 00:25:02,310
1060
+ ุฃุทู„ุนู‡ุง ุนู„ู‰ ุงู„ู€ outputุŒ ุนู„ู‰ ุงู„ู€ stage ุงู„ุซุงู„ุซ ุงู„ู„ูŠ ู‡ูˆ
1061
+
1062
+ 309
1063
+ 00:25:02,310 --> 00:25:05,510
1064
+ ุงู„ู€ stage ุงู„ุซุงู„ุซุŒ ู…ู…ูƒู† ูŠูƒูˆู† indicatorุŒ ู…ุคุดู‘ุฑุŒ ุฃูˆ
1065
+
1066
+ 310
1067
+ 00:25:05,510 --> 00:25:13,370
1068
+ recorderุŒ ุฃูˆ computerุŒ ุฃูˆ LEDุŒ ุฃูˆ LCDุŒ ุดุบู„ุงุช ูƒุชูŠุฑ ูŠุนู†ูŠ
1069
+
1070
+ 311
1071
+ 00:25:13,370 --> 00:25:17,790
1072
+ input processing outputุŒ input processing output
1073
+
1074
+ 312
1075
+ 00:25:17,790 --> 00:25:23,110
1076
+ ุทุจุนุงู‹
1077
+
1078
+ 313
1079
+ 00:25:23,110 --> 00:25:29,930
1080
+ ุฃูŠ ุฌุณู… ุงู„ุฅู†ุณุงู†ุŒ ู‡ู†ุงูƒ ุจุดุชุบู„ ูƒู…ุงู†ุŒ ููŠ ุชุบูŠู‘ุฑุงุช ุตุญูŠุญ ููŠ
1081
+
1082
+ 314
1083
+ 00:25:29,930 --> 00:25:34,650
1084
+ ุชูุงุตูŠู„ุŒ ุจุณ ุฅุญู†ุง ููŠ ูƒุฐุง stagesุŒ ุงู„ู€ first stage ุงู„ู„ูŠ
1085
+
1086
+ 315
1087
+ 00:25:34,650 --> 00:25:38,130
1088
+ ู‡ูˆ ุงู„ู€ first stage ุงู„ู„ูŠ ู‡ูˆ sensor transducer stage
1089
+
1090
+ 316
1091
+ 00:25:38,130 --> 00:25:41,090
1092
+ ุงู„ู‡ุฏู ู…ู† ุงู„ู€ stage ุงู„ุฃูˆู„ู‰ุŒ ุงู„ู€ primary function
1093
+
1094
+ 317
1095
+ 00:25:41,090 --> 00:25:43,750
1096
+ detect or sense the measurementุŒ ุงู„ู‡ุฏู ู…ู† ู‡ุฐุง ุงู„ู€
1097
+
1098
+ 318
1099
+ 00:25:43,750 --> 00:25:49,350
1100
+ stage ุฃู†ู‡ ุฃุฌุณู‘ุณุŒ ุฃุณุชุดุนุฑุŒ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุง
1101
+
1102
+ 319
1103
+ 00:25:49,350 --> 00:25:50,370
1104
+ ุจุฏูŠ ุฃุณุชุดุนุฑ ุงู„ุญุฑุงุฑุฉ
1105
+
1106
+ 320
1107
+ 00:25:53,060 --> 00:25:55,580
1108
+ this stage should be insensitive to every other
1109
+
1110
+ 321
1111
+ 00:25:55,580 --> 00:25:58,580
1112
+ possible inputุŒ ู‡ุฐุง ุงู„ู€ stage ู…ุด ู„ุงุฒู… ูŠูƒูˆู† ุญุณุงุณ ู„ู„ู€
1113
+
1114
+ 322
1115
+ 00:25:58,580 --> 00:26:04,280
1116
+ other inputsุŒ ูŠุนู†ูŠ ุฅุฐุง ุฃู†ุง ุจู‚ูŠุณ ุงู„ู€ strainุŒ ุฅุฐุง ูƒุงู†
1117
+
1118
+ 323
1119
+ 00:26:04,280 --> 00:26:05,900
1120
+ ุงู„ู€ sensor ู‡ูˆ ุจูŠุนู„ู† ุงู„ู€ strain gaugeุŒ ุงู„ู€ strain gauge
1121
+
1122
+ 324
1123
+ 00:26:05,900 --> 00:26:10,620
1124
+ ุจูŠู‚ูŠุณ ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„ุŒ ุณูˆุงุก ุฒูŠุงุฏุฉ ุฃูˆ ู†ู‚ุตุงู†ุŒ ู…ุด ู„ุงุฒู…
1125
+
1126
+ 325
1127
+ 00:26:10,620 --> 00:26:14,200
1128
+ ูŠูƒูˆู† ุญุณุงุณ ู„ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุฌูˆ ุงู„ู…ุญูŠุท ูƒุชูŠุฑุŒ ุฅุฐุง ูƒุงู†
1129
+
1130
+ 326
1131
+ 00:26:14,200 --> 00:26:19,390
1132
+ ุญุณุงุณุŒ ุจูŠุทู„ู‚ ุงู„ู‚ุฑุงุกุฉ ููŠู‡ุง ุฎุทุฃ ูƒุจูŠุฑุŒ rare it is rare to
1133
+
1134
+ 327
1135
+ 00:26:19,390 --> 00:26:21,730
1136
+ find a detecting device that is completely
1137
+
1138
+ 328
1139
+ 00:26:21,730 --> 00:26:28,650
1140
+ selectiveุŒ ู…ู† ุงู„ู†ุงุฏุฑ ุฃู†ูƒ ุชุฌุฏ ุฌู‡ุงุฒ ุงุณุชุดุนุงุฑ ุฃู†ู‡ ูŠูƒูˆู†
1141
+
1142
+ 329
1143
+ 00:26:28,650 --> 00:26:32,130
1144
+ ุดูƒู„ ูƒุงู…ู„ selectiveุŒ ุจุณ ุจู‚ูŠุฉ ุงู„ุญุฑุงุฑุฉ ุฅู„ุง ูŠุชุฃุซุฑ
1145
+
1146
+ 330
1147
+ 00:26:32,130 --> 00:26:36,250
1148
+ ุจุงู„ู…ุคุซุฑุงุชุŒ ุจุณ ุจุฏู†ุง ู†ูƒูˆู† ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ู…ุด ุญุณุงุณ
1149
+
1150
+ 331
1151
+ 00:26:36,250 --> 00:26:39,270
1152
+ unwanted
1153
+
1154
+ 332
1155
+ 00:26:39,270 --> 00:26:42,610
1156
+ sensitivityุŒ ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุณุงุณูŠุฉ ุงู„ู„ูŠ ุบูŠุฑ ู…ุฑุบูˆุจ ููŠู‡ุง
1157
+
1158
+ 333
1159
+ 00:26:42,610 --> 00:26:48,460
1160
+ is a measuring errorุŒ ู‡ูŠ ุฎุทุฃ ููŠ ุงู„ู‚ูŠุงุณ...ุฎุทุฃ ููŠ
1161
+
1162
+ 334
1163
+ 00:26:48,460 --> 00:26:53,120
1164
+ ุงู„ู‚ูŠุงุณุŒ ุจุณู…ู‘ูŠู‡ุง noiseุŒ when it varies rapidlyุŒ ุจุณู…ู‘ูŠู‡ุง
1165
+
1166
+ 335
1167
+ 00:26:53,120 --> 00:26:59,720
1168
+ noiseุŒ ู„ูˆ ุจุชุบูŠู‘ุฑูˆุง ุจุดูƒู„ ุณุฑูŠุน ุฌุฏุงู‹ุŒ ุจุณู…ู‘ูŠู‡ุง drift when
1169
+
1170
+ 336
1171
+ 00:26:59,720 --> 00:27:04,400
1172
+ it varies very slowlyุŒ ู„ู…ุง ุชูƒูˆู† ุงู„ุชุบูŠู‘ุฑ ุจุทูŠุก ุฌุฏุงู‹ุŒ
1173
+
1174
+ 337
1175
+ 00:27:04,400 --> 00:27:08,140
1176
+ ุจุณู…ู‘ูŠู‡ุง driftุŒ ู„ูˆ ุชูƒูˆู† ุณุฑูŠุน ุฌุฏุงู‹ ุจุณู…ู‘ูŠู‡ุง ุฅูŠุดุŸ noise
1177
+
1178
+ 338
1179
+ 00:27:14,140 --> 00:27:18,020
1180
+ ู…ูˆุฌุงุชู‡ุง ู‡ู… ูŠุณู…ู‘ูˆู†ู‡ุŒ 80% ู…ู†ู‡ู… ููŠ ุงู„ููŠุฒูŠุงุก ูˆุงู„ุทุจูŠุนุฉ
1181
+
1182
+ 339
1183
+ 00:27:18,020 --> 00:27:22,360
1184
+ ูู…ุง ููŠุด ุฌู‡ุงุฒ ููŠ ุงู„ุทุจูŠุนุฉ perfectุŒ ู…ุง ููŠุด perfect ุฅู„ุง
1185
+
1186
+ 340
1187
+ 00:27:22,360 --> 00:27:25,400
1188
+ ููŠู‡ุงุŒ ุฃู†ุง ู…ุซู„ุงู‹ ุงู„ู…ุงุฏุฉ ู‡ุฐู‡ ุฃูุฑุถู‡ุง ู…ุซู„ุงู‹ pure chromeุŒ
1189
+
1190
+ 341
1191
+ 00:27:25,400 --> 00:27:30,020
1192
+ ู…ุซู„ุงู‹ุŒ ู…ุง ุชูƒูˆู†ุด pure chromeุŒ ู…ุซู„ุงู‹ ุงู„ู€ crystals ุจุชุงุนุชู‡ุง
1193
+
1194
+ 342
1195
+ 00:27:30,020 --> 00:27:34,340
1196
+ ุงู„ุชูˆุฒูŠุน ู…ุด ุจุชูƒูˆู† perfectุŒ ุงู„ุธุฑูˆู ุงู„ู…ุญูŠุทุฉ ููŠูƒ ุจุฑุถู‡
1197
+
1198
+ 343
1199
+ 00:27:34,340 --> 00:27:38,320
1200
+ ู…ุด perfectุŒ ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจูŠู‚ูŠุณ ู…ุด perfect ููŠ ูƒู„ ุดูŠุก
1201
+
1202
+ 344
1203
+ 00:27:38,320 --> 00:27:43,270
1204
+ ููŠู‡ errorุŒ ูุจูŠูƒูˆู†ุŒ ุนุดุงู† ู‡ูŠูƒ ุจูŠุตูŠุฑ ููŠู‡ noiseุŒ ุงู„ุดุฎุต
1205
+
1206
+ 345
1207
+ 00:27:43,270 --> 00:27:46,830
1208
+ ู‡ู†ุญูƒูŠ ููŠ ุงู„...ู‡ุฐุง ูƒู„ ุดุบู„ measurementุŒ ู‡ุฐุง ู‡ู†ุญูƒูŠ
1209
+
1210
+ 346
1211
+ 00:27:46,830 --> 00:27:50,950
1212
+ ุนู„ู‰ ุงู„ู€ errors ูˆุฃู†ูˆุงุนู‡ุง ูˆูƒูŠู ุทุฑู‚ ู‚ูŠุงุณู‡ุง ูˆุฏุฑุงุณุชู‡ุง
1213
+
1214
+ 347
1215
+ 00:27:50,950 --> 00:27:55,050
1216
+ ุทูŠุจ
1217
+
1218
+ 348
1219
+ 00:27:55,050 --> 00:28:00,370
1220
+ ุงู„ุขู† ุงู„ู€ second stage ุฃูˆ ุงู„ู€ conditioning stage ุฃูˆ
1221
+
1222
+ 349
1223
+ 00:28:00,370 --> 00:28:05,120
1224
+ ุงู„ู€ processing stageุŒ ุณู…ู‘ูˆู‡ุŒ ุงู„ู‡ุฏู ุจุชุงุนู‡ modify
1225
+
1226
+ 350
1227
+ 00:28:05,120 --> 00:28:08,560
1228
+ transduced information so that it is acceptable to
1229
+
1230
+ 351
1231
+ 00:28:08,560 --> 00:28:14,740
1232
+ third stageุŒ ุจุฑูˆุญ ุจุนู…ู„ ุชุนุฏูŠู„ ู„ู„ู€ signal ุงู„ู„ูŠ ุชู…ู‘
1233
+
1234
+ 352
1235
+ 00:28:14,740 --> 00:28:19,760
1236
+ ุชุญูˆูŠู„ู‡ุŒ ู…ู† ุญุฑุงุฑุฉ ู…ุซู„ุงู‹ ู„ู…ู‚ุงูˆู…ุฉุŒ ุจูŠูƒูˆู† ู…ู‚ุจูˆู„ุฉ ุนู„ู‰ ุงู„ู€
1237
+
1238
+ 353
1239
+ 00:28:19,760 --> 00:28:23,440
1240
+ third stageุŒ third stage ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุดุŸ ุงู„ู€ result ุฃูˆ
1241
+
1242
+ 354
1243
+ 00:28:23,440 --> 00:28:29,660
1244
+ ุงู„ู€ outputุŒ ู†ูŠู† increase either amplitude or power
1245
+
1246
+ 355
1247
+ 00:28:29,660 --> 00:28:37,270
1248
+ of signalุŒ ุงุฑุชูุงุน ุงู„ู…ูˆุฌุฉ ุฃูˆ ุงู„ู‚ูˆุฉ ุจุชุงุนุชู‡ุงุŒ or both to
1249
+
1250
+ 356
1251
+ 00:28:37,270 --> 00:28:39,170
1252
+ deliver required to drive the final terminating
1253
+
1254
+ 357
1255
+ 00:28:39,170 --> 00:28:42,890
1256
+ deviceุŒ ู„ุงุฒู… ุชูƒูˆู† ุทู„ุนุช ู„ู€ millivoltุŒ millivolt ู…ุซู„ุงู‹
1257
+
1258
+ 358
1259
+ 00:28:42,890 --> 00:28:47,590
1260
+ signalุŒ ุจุฏูŠ ุฃุฎู„ูŠู‡ุง ุจุงู„ู€ volt ุนุดุงู† ุชูƒูˆู† ู‚ุงุจู„ุฉ ู„ู„ู‚ุฑุงุกุฉ
1261
+
1262
+ 359
1263
+ 00:28:47,590 --> 00:28:51,810
1264
+ ูˆุชุธู‡ุฑ ุนู†ุฏูŠุŒ ู ุฃู†ุง ู…ุญุชุงุฌ ุฃูƒุจู‘ุฑู‡ุงุŒ ุฅุฐุง ููŠ noiseุŒ ู ู…ุญุชุงุฌ
1265
+
1266
+ 360
1267
+ 00:28:51,810 --> 00:28:56,630
1268
+ ุฃุนุทูŠู‡ powerุŒ ุฃู†ุช ู…ุซู„ุงู‹ ุนู†ุฏูƒ net ู๏ฟฝ๏ฟฝ ุงู„ุจูŠุชุŒ ุนู†ุฏูƒ ุจูŠุช
1269
+
1270
+ 361
1271
+ 00:28:56,630 --> 00:28:59,830
1272
+ ูƒุจูŠุฑุŒ ุนู†ุฏูƒ ุจูŠูƒูˆู† ุนู†ุฏูƒ routerุŒ ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ router
1273
+
1274
+ 362
1275
+ 00:28:59,830 --> 00:29:06,160
1276
+ ู…ุธุจูˆุทุŒ ุจูŠูˆุฒู‘ุนุŒ ุจุนุฏุช ูƒุชูŠุฑ ุดูˆูŠุฉ ุนู†ู‡ุŒ ุชุถุนูุŒ ุฅูŠุด ุจุชุญุท ู„ู‡ุŸ
1277
+
1278
+ 363
1279
+ 00:29:06,160 --> 00:29:10,880
1280
+ ุจุชุนุทูŠู‡...ุงูŠูˆุฉุŒ ุจุชู‚ูˆู‘ูŠุŒ ุฅูŠุดุŸ ุงู„ู€ signalุŒ ุจุชุนุทูŠู‡ุง power
1281
+
1282
+ 364
1283
+ 00:29:10,880 --> 00:29:16,480
1284
+ ุฒูŠุงุฏุฉุŒ ูŠุนู†ูŠ ุฎู„ุงุต ุฃู†ุง ุงู„ู€ signal ุงุชุนุงู„ู‰ุŒ ุฏุฎู„ุช ู…ุซู„ุงู‹
1285
+
1286
+ 365
1287
+ 00:29:16,480 --> 00:29:20,760
1288
+ ูˆุงุฎุฏุฉุŒ ุทู„ุนุช ู…ุซู„ุงู‹ ุฎู…ุณุฉ ูˆุงุชุŒ ุงู„ู€ power ุจุชุงุนุชู‡ุงุŒ ูˆุตู„ุชู†ุง
1289
+
1290
+ 366
1291
+ 00:29:20,760 --> 00:29:26,850
1292
+ ุงุซู†ูŠู† ูˆุงุชุŒ ุจุงู„ุธุจุทุŒ ุจูŠุนุทูŠู‡ุง power ุฒูŠุงุฏุฉ ุนุดุงู† ุชุตูŠุฑ
1293
+
1294
+ 367
1295
+ 00:29:26,850 --> 00:29:29,870
1296
+ acceptableุŒ ู„ูˆ ุจู‚ู‰ ูˆุงุญุฏ ุจุนุฏูƒ ุฃู†ู‡ ูŠู‚ุฑุฃู‡ุงุŒ ุฃู…ุง ุฅุฐุง
1297
+
1298
+ 368
1299
+ 00:29:29,870 --> 00:29:34,630
1300
+ ุจุฏูˆู†...ุจุฏูˆู† ุชู‚ูˆูŠุฉุŒ ู…ุด ู‡ุชูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ุฃู†ู‡ ูŠุณุชุดุนุฑ
1301
+
1302
+ 369
1303
+ 00:29:34,630 --> 00:29:40,990
1304
+ ุงู„ู…ูˆุฌูˆุฏุŒ ุตุญูŠุญ ุทุจุนุงู‹ ููŠู‡ุง ุชูุงุตูŠู„ ุฌูˆุฉุŒ ุทูŠุจุŒ it may
1305
+
1306
+ 370
1307
+ 00:29:40,990 --> 00:29:43,870
1308
+ perform one or more basic operationsุŒ ููŠ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ
1309
+
1310
+ 371
1311
+ 00:29:43,870 --> 00:29:47,990
1312
+ ู‡ูŠ ุงู„ู€ conditioning stageุŒ ู…ู…ูƒู† ุชุนู…ู„ filtering to
1313
+
1314
+ 372
1315
+ 00:29:47,990 --> 00:29:52,190
1316
+ remove noiseุŒ integrationุŒ differentiationุŒ ุนู…ู„ูŠุงุช
1317
+
1318
+ 373
1319
+ 00:29:52,190 --> 00:29:57,570
1320
+ ูƒุชูŠุฑุŒ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุนู…ู„ูŠุงุช ุงู„ู…ุนุงู„ุฌุฉุŒ ุงู„ู€ second stage
1321
+
1322
+ 374
1323
+ 00:29:57,570 --> 00:29:59,530
1324
+ must be designed for proper matching
1325
+
1326
+ 375
1327
+ 00:29:59,530 --> 00:30:01,310
1328
+ characteristicsุŒ ูŠุนู†ูŠ ุงู„ู€ second stage ุฌุงูŠ ููŠ
1329
+
1330
+ 376
1331
+ 00:30:01,310 --> 00:30:05,250
1332
+ ุงู„ู…ุตุจูŠู†ุŒ ุงู„ู€ first stage ูˆ ุงู„ู€ second stageุŒ ู…ุนู†ุงุชู‡ ู„ุงุฒู…
1333
+
1334
+ 377
1335
+ 00:30:05,250 --> 00:30:07,730
1336
+ ูŠูƒูˆู† ุงู„ู€ matching ุตุญ ุจูŠู† ุงู„ู€ first ูˆ ุงู„ู€ second ูˆ
1337
+
1338
+ 378
1339
+ 00:30:07,730 --> 00:30:10,730
1340
+ matching ุตุญ ุจูŠู† ุงู„ู€ second ูˆ ุงู„ู€ thirdุŒ ุนุดุงู† ูŠูƒูˆู† ุงู„ู€
1341
+
1342
+ 379
1343
+ 00:30:10,730 --> 00:30:11,850
1344
+ system ุดุบู„ ุตุญ
1345
+
1346
+ 380
1347
+ 00:30:16,900 --> 00:30:21,940
1348
+ ุงู„ู€ third stage ุงู„ู„ูŠ
1349
+
1350
+ 381
1351
+ 00:30:21,940 --> 00:30:28,840
1352
+ ู‡ูˆ ุงู„ู€ recording stage ุฃูˆ ุงู„ู€ output stageุŒ ุงู„ู€
1353
+
1354
+ 382
1355
+ 00:30:28,840 --> 00:30:36,620
1356
+ third stageุŒ ุจูŠุนุทูŠู†ูŠ ู…ุนู„ูˆู…ุงุช ุจุดูƒู„ ูŠูƒูˆู† ู…ูู‡ูˆู… ู„ุญูˆุงุณ
1357
+
1358
+ 383
1359
+ 00:30:36,620 --> 00:30:42,600
1360
+ ุงู„ุฅู†ุณุงู†ุŒ ู„ุฅู†ู‡ ูŠูƒูˆู† ูŠูู‡ู…ู‡ ุฃูˆ ู„ู†ุธุงู… ุชุญูƒู…ุŒ ุฃู†ุง ููŠ ุงู„ุขุฎุฑ
1361
+
1362
+ 384
1363
+ 00:30:42,600 --> 00:30:49,820
1364
+ ู‡ูƒูˆู† ุฏู‡ ุจุงู„ุธุจุทุŒ ู„ู†ุธุงู… PLC ุฃูˆ ุฃูŠ ุดูŠุก ุซุงู†ูŠุŒ ุทูŠุจุŒ if
1365
+
1366
+ 385
1367
+ 00:30:49,820 --> 00:30:53,920
1368
+ output is intended for immediate human recognition
1369
+
1370
+ 386
1371
+ 00:30:53,920 --> 00:30:56,860
1372
+ it is generally present in one of the following
1373
+
1374
+ 387
1375
+ 00:30:56,860 --> 00:31:00,660
1376
+ formsุŒ ุฅุฐุง ูƒุงู† ุงู„ู€ output ุงู„ู…ู‚ุตูˆุฏ ููŠู‡ ุฃู† ุงู„ุฅู†ุณุงู†
1377
+
1378
+ 388
1379
+ 00:31:00,660 --> 00:31:02,280
1380
+ ูŠุณุชุฎุฏู…ู‡ ุจุดูƒู„ ู…ุจุงุดุฑ
1381
+
1382
+ 389
1383
+ 00:31:05,730 --> 00:31:08,110
1384
+ ู…ู…ูƒู† as relative displacementุŒ such as movement
1385
+
1386
+ 390
1387
+ 00:31:08,110 --> 00:31:13,330
1388
+ ุจุฅุฒุงุญุงุช ู…ุคุดุฑุงุชุŒ ู‡ุฐู‡ ุจูŠุตูŠุฑ relative ุฅุฒุงุญุฉ ุฃูˆ ุฎู„ุงู„
1389
+
1390
+ 391
1391
+ 00:31:13,330 --> 00:31:19,830
1392
+ ู…ุซู„ุงู‹ oscilloscopeุŒ ุฃูˆ ุฎู„ุงู„ ุงู„ู€ LEDุŒ ุฃูˆ ุฎู„ุงู„ ุงู„ู€ LCDุŒ ุฃูˆ
1393
+
1394
+ 392
1395
+ 00:31:19,830 --> 00:31:23,830
1396
+ ุฎู„ุงู„ computer
1397
+
1398
+ 393
1399
+ 00:31:23,830 --> 00:31:28,570
1400
+ screenุŒ ููŠ ุทุฑู‚ ูƒุชูŠุฑ ุนุดุงู† ุชูƒูˆู† ุงุณุชุนุฑุถ ุงู„ู€ stage
1401
+
1402
+ 394
1403
+ 00:31:28,570 --> 00:31:30,790
1404
+ ุงู„ุซุงู„ุซุŒ ู‡ู†ุดูˆู ู…ุซุงู„
1405
+
1406
+ 395
1407
+ 00:31:33,860 --> 00:31:39,480
1408
+ ุนู†ุฏูŠ ู‡ู†ุง ุฌู‡ุงุฒ ุจุฏู‚ูŠุณ ุถุบุท ุนุฌู„ ุงู„ุณูŠุงุฑุฉุŒ ุทุจุนุงู‹ ู‡ู†ุง ุจูƒูˆู†
1409
+
1410
+ 396
1411
+ 00:31:39,480 --> 00:31:42,960
1412
+ ุนู†ุฏูŠ ุจุฑููŠุฌ ุจุดุจูƒ ุงู„ุนุฌู„ุŒ ู‡ู†ุง ูŠุนู†ูŠ ู‡ู†ุง ุจุฏุฎู„ ุงู„ู‡ูˆุงุก
1413
+
1414
+ 397
1415
+ 00:31:42,960 --> 00:31:47,620
1416
+ ุงู„ู…ุถุบูˆุทุŒ ุจุฏุฎู„ ุงู„ู‡ูˆุงุก ู‡ู†ุง ู…ุถุบูˆุทุŒ ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ูƒุจุณ
1417
+
1418
+ 398
1419
+ 00:31:47,620 --> 00:31:53,020
1420
+ ุทุจุนุงู‹ ู‡ุฐู‡ ุฃุณุทูˆุงู†ุฉุŒ ููŠ ุนู†ุฏูŠ ู…ูƒุจุณ ุงู„ุขู†ุŒ ูˆููŠ ุนู†ุฏูŠ ู‡ู†ุง
1421
+
1422
+ 399
1423
+ 00:31:53,020 --> 00:31:59,14
1424
+
1425
+ 445
1426
+ 00:36:04,060 --> 00:36:09,300
1427
+ ู‡ูŠ ู„ุณู‡ ุถุนูŠูุฉุŒ ุจุนู…ู„ู‡ุง ุฅูŠุดุŸ amplificationุŒ ุจูƒุจุฑู‡ุง
1428
+
1429
+ 446
1430
+ 00:36:09,300 --> 00:36:14,930
1431
+ ู…ุนู†ุงุชู‡ ู‡ูŠ ุนู†ุฏ stage twoุŒ ูƒุงู† ููŠ ุนู†ุฏูŠ filteringุŒ ูƒุงู†
1432
+
1433
+ 447
1434
+ 00:36:14,930 --> 00:36:16,790
1435
+ ููŠ ุนู†ุฏูŠ integrationุŒ ูˆูƒุงู† ููŠ ุนู†ุฏูŠ amplificationุŒ ููŠ
1436
+
1437
+ 448
1438
+ 00:36:16,790 --> 00:36:22,850
1439
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ู€
1440
+
1441
+ 449
1442
+ 00:36:22,850 --> 00:36:27,770
1443
+ signal ู‡ุฐู‡ ุจุฑูˆุญ ุนู„ู‰ ุงู„ู€ data acquisition systemุŒ ูˆ
1444
+
1445
+ 450
1446
+ 00:36:27,770 --> 00:36:31,270
1447
+ ุจุนู…ู„ ุจุงูˆุฑู‡ุง printer ุฃูˆ screenุŒ ูˆ ุจุนู…ู„ ุนุฑุถ ู„ู„ู€ ..
1448
+
1449
+ 451
1450
+ 00:36:31,270 --> 00:36:33,410
1451
+ ุฅูŠุดุŸ ู„ู„ู€ full stageุŒ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ุฏูŠ ุชู„ุงุชุฉ stages
1452
+
1453
+ 452
1454
+ 00:36:33,410 --> 00:36:36,530
1455
+ ูุนู„ุงุŒ ุงู„ู€ stage one ุงู„ู„ูŠ ู‡ูˆ detection ุฃูˆ sensing
1456
+
1457
+ 453
1458
+ 00:36:36,530 --> 00:36:40,610
1459
+ plus translucentุŒ ูˆ ุงู„ู€ second stage ุงู„ู„ูŠ ู‡ูˆ signal
1460
+
1461
+ 454
1462
+ 00:36:40,610 --> 00:36:43,810
1463
+ conditioningุŒ ูˆ ุงู„ู€ third stage ุงู„ู„ูŠ ู‡ูˆ ุงู„ู€ result ุฃูˆ
1464
+
1465
+ 455
1466
+ 00:36:43,810 --> 00:36:44,870
1467
+ ุงู„ู€ read outุŒ ุจุงู„ุธุจุท
1468
+
1469
+ 456
1470
+ 00:36:58,670 --> 00:37:07,310
1471
+ ูƒู„ู‡ ุญูƒูŠู†ุงู‡ุŒ ุฏู‡ ุทูŠุจุŒ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุจู†ูƒู…ู„ุŒ ุฃุนุทูŠูƒูˆุง
1472
+
1473
+ 457
1474
+ 00:37:07,310 --> 00:37:07,670
1475
+ ุงู„ุนุงููŠุฉ
PL9fwy3NUQKwbmQ78axQrbibTw2IHPwTM5/pb_n6eYsMrc_postprocess.srt ADDED
@@ -0,0 +1,1828 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:05,110 --> 00:00:08,410
3
+ ุทูŠุจ ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡
4
+
5
+ 2
6
+ 00:00:08,410 --> 00:00:11,230
7
+ ูˆุจุฑูƒุงุชู‡ ุงู„ูŠูˆู… ู‡ู†ุจุฏุฃ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฃูˆู„ู‰ ู…ู† ู…ุงุฏุฉ
8
+
9
+ 3
10
+ 00:00:11,230 --> 00:00:15,370
11
+ ุงู„ู‚ูŠุงุณุงุช ุนู†ูˆุงู† ุงู„ุดุทุฑ ุงู„ุฃูˆู„ the process of
12
+
13
+ 4
14
+ 00:00:15,370 --> 00:00:21,790
15
+ measurement and overview ูŠุนู†ูŠ ุนุฑุถ ุนุงู… ู„ุนู…ู„ูŠุฉ
16
+
17
+ 5
18
+ 00:00:21,790 --> 00:00:27,550
19
+ ุงู„ู‚ูŠุงุณุงุช ุฎู„ูŠู†ูŠ
20
+
21
+ 6
22
+ 00:00:27,550 --> 00:00:30,670
23
+ ุฃุณุฃู„ what is measurement ู‡ุฐุง ุงู„ุณุคุงู„ ู‡ู†ุฌุงูˆู†ู‡ ุฎู„ุงู„
24
+
25
+ 7
26
+ 00:00:30,670 --> 00:00:35,820
27
+ ุงู„ู†ู‚ุงุท ุงู„ุชุงู„ูŠุฉู„ุฃู† whatever exist exist in some
28
+
29
+ 8
30
+ 00:00:35,820 --> 00:00:39,360
31
+ amount ุงูŠ ุงุดูŠ ู…ูˆุฌูˆุฏ ููŠ ุงู„ุฏู†ูŠุง ุจูŠูƒูˆู† ู…ูˆุฌูˆุฏ ุจูƒู…ูŠุฉ
32
+
33
+ 9
34
+ 00:00:39,360 --> 00:00:46,480
35
+ ู…ุญุฏุฏุฉ ุนู†ุฏู‰ ูƒู…ูŠุฉ ู…ูŠุงู‡ ู…ู…ูƒู† ุญุฌู…ู‡ุง ู…ุชุฑ ูˆูƒุนุจ ู…ู…ูƒู†
36
+
37
+ 10
38
+ 00:00:46,480 --> 00:00:53,380
39
+ ุญุฌู…ู‡ุง ู„ุชุฑ ู…ู…ูƒู† ุงู„ู ู„ุชุฑ ู…ู…ูƒู† ู…ู„ูŠูˆู† ู„ุชุฑ ุนู†ุฏู‰ ุงู„ุญุฑุงุฑุฉ
40
+
41
+ 11
42
+ 00:00:53,380 --> 00:00:57,120
43
+ ู…ู…ูƒู† ุชูƒูˆู† ุนุดุฑูŠู† ุฏุฑุฌุฉ ู…ุนุงูˆูŠุฉ ู…ู…ูƒู† ุชูƒูˆู† ุฎู…ุณุฉ ู…ู…ูƒู†
44
+
45
+ 12
46
+ 00:00:57,120 --> 00:00:59,900
47
+ ุชูƒูˆู† ุงู„ู ู…ู…ูƒู† ุชูƒูˆู† ู…ู„ูŠูˆู† ู…ุนู†ุงู‡ ุงูŠ ุงุดูŠ ููŠ ุงู„ุฏู†ูŠุง
48
+
49
+ 13
50
+ 00:00:59,900 --> 00:01:05,840
51
+ ู…ูˆุฌูˆุฏ ู…ูˆุฌูˆุฏ ุจูƒู…ูŠุฉ ู…ุญุฏุฏุฉthe determination of the
52
+
53
+ 14
54
+ 00:01:05,840 --> 00:01:10,420
55
+ amount is what measurement is all about ุฅูŠุฌุงุฏ ู‡ุฐู‡
56
+
57
+ 15
58
+ 00:01:10,420 --> 00:01:15,600
59
+ ุงู„ูƒูŠู…ูŠุฉ ู‡ูˆ ู…ุง ูŠุชุญุฏุซ ุนู†ู‡ ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ูŠุนู†ูŠ ุนุดุงู†
60
+
61
+ 16
62
+ 00:01:15,600 --> 00:01:22,000
63
+ ุฃุนุฑู ูƒู…ูŠุฉ ุงู„ู…ูŠู‡ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ ุงู„ tank ู‡ุฐุง ุงู„ู„ูŠ
64
+
65
+ 17
66
+ 00:01:22,000 --> 00:01:25,640
67
+ ุจูŠุนุทูŠู†ุง ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ุนุดุงู† ุฃุนุฑู ูƒู…ูŠุฉ ุงู„ุญุฑุงุฑุฉ ู‡ุฐุง
68
+
69
+ 18
70
+ 00:01:25,640 --> 00:01:28,980
71
+ ุงู„ู„ูŠ ุจุชุญุฏุซ ุนู†ู‡ ุนู„ู… ุงู„ู‚ูŠุงุณุงุช
72
+
73
+ 19
74
+ 00:01:37,630 --> 00:01:43,270
75
+ ุงู„ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุนุจุงุฑุฉ ุนู† ุนู…ู„ูŠุฉ ู…ู‚ุงุฑู†ุฉ ุจูŠู† ุงู„ุงุดูŠ
76
+
77
+ 20
78
+ 00:01:43,270 --> 00:01:48,490
79
+ ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุณู‡ ูˆ standard ุจุฏู‡ ุงู‚ูŠุณ ุทูˆู„ ุงู„ุฌูˆุงู„ ุงู„
80
+
81
+ 21
82
+ 00:01:48,490 --> 00:01:51,870
83
+ standard ุงู„ู„ูŠ ู‡ูˆ ุงู„ meter ู…ุนู†ุงู‡ ุงู† ุงู†ุง ุจู‚ุงุฑู† ุจูŠู†
84
+
85
+ 22
86
+ 00:01:51,870 --> 00:01:54,210
87
+ .. ุจุญุท ุงู„ุฌูˆุงู„ ุน ุงู„ meter ูˆ ุจู‚ุงุฑู† ุจูŠู†ู‡ู… ุจุดูˆู ูˆุงู„ู„ู‡
88
+
89
+ 23
90
+ 00:01:54,210 --> 00:01:58,730
91
+ ู‡ุฐุง ู…ุงุฎุฏ ุนุดุฑ ูˆุญุฏุงุชูŠุนู†ูŠ ุนุดุฑ ุตู†ุทูŠ ู…ุงุฎุฏ ุฎู…ุณุงุดุฑ ูˆุงุญุฏุฉ
92
+
93
+ 24
94
+ 00:01:58,730 --> 00:02:05,770
95
+ ู…ุนู†ูˆูŠุฉ ุฎู…ุณุงุดุฑ ุตู†ุทูŠ ุงู„ measurement .. ุงู„
96
+
97
+ 25
98
+ 00:02:05,770 --> 00:02:11,410
99
+ measurement ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒู…ูŠุฉ ุงู„ input ุงู„ input to
100
+
101
+ 26
102
+ 00:02:11,410 --> 00:02:14,770
103
+ the measurement process ุงู„ู„ูŠ ู‡ูŠ ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณู‡ุง
104
+
105
+ 27
106
+ 00:02:20,910 --> 00:02:25,590
107
+ ุทุจุนุงู‹ ุนู…ู„ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุจู†ุชุฌ ุนู†ู‡ุง ู†ุชูŠุฌุฉ ุนู…ู„ูŠุฉ
108
+
109
+ 28
110
+ 00:02:25,590 --> 00:02:31,110
111
+ ุงู„ู‚ูŠุงุณุงุช ุจุญุฏุซ ุนู†ู‡ุง ู†ุชูŠุฌุฉ
112
+
113
+ 29
114
+ 00:02:31,110 --> 00:02:36,410
115
+ ุฒูŠ ู…ุง ุชุทู„ุนูŠู† ุนู„ู‰ ุงู„ block diagram ุนู„ู‰ ุงู„ูŠู…ูŠู† ุจูŠูƒูˆู†
116
+
117
+ 30
118
+ 00:02:36,410 --> 00:02:40,690
119
+ ููŠ ุนู†ุฏูŠ input ููŠ ุดุบู„ ุจุฏู‡ ู‚ูŠุงุณุฉูˆ ููŠ ุนู†ุฏู‰ process of
120
+
121
+ 31
122
+ 00:02:40,690 --> 00:02:44,970
123
+ comparison ุนู…ู„ูŠุฉ ู„ู„ู…ู‚ุงุฑู†ุฉ ู…ู…ูƒู† ุงู„ process ุชูƒูˆู†
124
+
125
+ 32
126
+ 00:02:44,970 --> 00:02:48,550
127
+ ุนู…ู„ูŠุฉ ุณู‡ู„ุฉ ู…ู…ูƒู† ุชูƒูˆู† ุนู…ู„ูŠุฉ ู…ุนู‚ุฏุฉ ุฌุฏุง ุงุจุณุท ู…ุงูŠูƒูˆู†
128
+
129
+ 33
130
+ 00:02:48,550 --> 00:02:53,890
131
+ ุงู† ุงู‚ุงุฑู† ุงู„ process ุงู„ู„ูŠ ุงู†ุง ุจู‚ุงุฑู† ุทูˆู„ ุงู„ุฌูˆุงู„ ู…ุน
132
+
133
+ 34
134
+ 00:02:53,890 --> 00:02:57,970
135
+ ู…ุตุฏุฑู‡ ู‡ุฐู‡ ุงู„ process ุทุจุนุง ููŠ input ุนู„ู‰ ุนู…ู„ูŠุฉ
136
+
137
+ 35
138
+ 00:02:57,970 --> 00:03:01,570
139
+ ุงู„ู‚ูŠุงุณุงุช ููŠ ุนู†ุฏู‰ ุงู„ input ุงู„ุดุบู„ ุงู„ู„ูŠ ุจุฏู‡ ุงู‚ูŠุณู‡ ูˆ
140
+
141
+ 36
142
+ 00:03:01,570 --> 00:03:07,520
143
+ ููŠ ุงู„ standard ุงู„ standard ู‡ูˆ ุงูŠุดุŸุงู„ู…ุณุทุฑุฉ ูˆุงู„ู‚ุทุน
144
+
145
+ 37
146
+ 00:03:07,520 --> 00:03:12,460
147
+ ุงู„ู„ู‰ ุจุฏู‰ ุงู‚ูŠุณู‡ุง ู‡ูŠ ุงูŠุด ุงู„ input ูˆุงู„ result ู‡ูŠูƒูˆู†
148
+
149
+ 38
150
+ 00:03:12,460 --> 00:03:23,720
151
+ ุงู„ู†ุชูŠุฌุฉ ุงู„ู„ู‰ ู‡ูŠ ุงูŠุด ุทูˆู„ ุงู„ู‚ุทุน ุงู„ู„ู‰ ุจุฏู‰ ุงู‚ูŠุณู‡ุง ุงู„
152
+
153
+ 39
154
+ 00:03:23,720 --> 00:03:27,620
155
+ meter is a clearly defined standard of length ุงู„
156
+
157
+ 40
158
+ 00:03:27,620 --> 00:03:30,680
159
+ meter ู‡ูŠ ูˆุญุฏุฉ ู…ุนูŠุงุฑูŠุฉ ู„ู‚ูŠุงุณ ุงู„ุทูˆู„
160
+
161
+ 41
162
+ 00:03:36,790 --> 00:03:39,470
163
+ ุงูŠุด ุงู„ scope of mechanical measurementsุŸ ุงูŠุด ุงู„ู„ูŠ
164
+
165
+ 42
166
+ 00:03:39,470 --> 00:03:43,530
167
+ ู‡ูˆ ู…ุฌุงู„ ุนู…ู„ ุงู„ู‚ูŠุงุณุงุช ุงู„ู‡ู†ุฏุณูŠุฉุŸ ุงุญู†ุง ููŠ ุงู„ู‡ู†ุฏุณุฉ
168
+
169
+ 43
170
+ 00:03:43,530 --> 00:03:48,470
171
+ ุงู„ู…ูŠูƒุงู†ูƒูŠุฉ ุจู†ู‚ูŠุณ ุงู„ูƒุชู„ุฉุŒ ุงู„ุทูˆู„ุŒ ุงู„ุฒู…ู†ุŒ ุฏุฑุฌุฉ
172
+
173
+ 44
174
+ 00:03:48,470 --> 00:03:54,390
175
+ ุงู„ุญุฑุงุฑุฉุŒ ุงู„ู‚ูˆุฉุŒ ุงู„ strainุŒ ุงู„ุชุฏูู‚ุŒ ุงู„ุถุบุทุŒ ุงู„ุฅุฒุงุญุฉุŒ
176
+
177
+ 45
178
+ 00:03:54,390 --> 00:03:58,350
179
+ ุงู„ุณุฑุนุฉุŒ ุงู„ุนุฌู„ุฉ ูˆ ุงู„ linear ูˆ ุงู„ angular
180
+
181
+ 46
182
+ 00:03:58,350 --> 00:03:58,930
183
+ measurements
184
+
185
+ 47
186
+ 00:04:05,210 --> 00:04:08,870
187
+ measurement of mechanical quantities also involves
188
+
189
+ 48
190
+ 00:04:08,870 --> 00:04:12,990
191
+ consideration of things electrical ุนู…ู„ูŠุฉ ู‚ูŠุงุณ
192
+
193
+ 49
194
+ 00:04:12,990 --> 00:04:16,290
195
+ ุงู„ูƒูŠู…ูŠุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉ ูˆูŠุชุถู…ู† ุดุบู„ุงุช ุงู„ู„ูŠ ู„ู‡ุง ุนู„ุงู‚ุฉ
196
+
197
+ 50
198
+ 00:04:16,290 --> 00:04:19,910
199
+ ุจุงู„ูƒู‡ุฑุจุง ูƒุชูŠุฑ ู…ู† ุจุนุถ ุงู„ุดุบู„ุงุช ุนุดุงู† ุฃู‚ูŠุต ุงู„ุญุฑุงุฑุฉ ูˆ
200
+
201
+ 51
202
+ 00:04:19,910 --> 00:04:27,120
203
+ ุฃุณุชุฎุฏู… ู…ุง ู‡ูˆ ู…ุฌุณุณุงู„ู…ุฌู„ุณ ู‡ุฐุง ู„ู…ุง ูŠุณุฎู† ุชุชุบูŠุฑ ู…ู‚ุงูˆู…ุชู‡
204
+
205
+ 52
206
+ 00:04:27,120 --> 00:04:30,480
207
+ ุตุญุŸ ุงู†ุง ุจู‚ูŠุณ ุงู„ู…ู‚ุงูˆู…ุฉ ู…ู† ุฎู„ุงู„ ู…ุนุฑูุฉ ุงู„ุนู„ุงู‚ุฉ ุจูŠู†
208
+
209
+ 53
210
+ 00:04:30,480 --> 00:04:33,320
211
+ ุงู„ู…ู‚ุงูˆู…ุฉ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ุจุงุนุฑู ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉุŒ ู…ุงู†ู
212
+
213
+ 54
214
+ 00:04:33,320 --> 00:04:38,590
215
+ ุฏุฎู„ ุนู„ู‰ ุงู„ุฎุทุŒ ุนุงูŠุดุŸ ู…ูˆุถูˆุน ุงู„ูƒู‡ุฑุจุงit is often
216
+
217
+ 55
218
+ 00:04:38,590 --> 00:04:41,410
219
+ convenient or necessary ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ู† ุงู„ู…ุฑูŠุญ
220
+
221
+ 56
222
+ 00:04:41,410 --> 00:04:45,670
223
+ ุงูˆ ู…ู† ุงู„ุถุฑูˆุฑูŠ to change or transduce mechanical
224
+
225
+ 57
226
+ 00:04:45,670 --> 00:04:47,810
227
+ measurement into a corresponding electrical
228
+
229
+ 58
230
+ 00:04:47,810 --> 00:04:51,990
231
+ quantity ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ุงูˆ ุบุงู„ุจุง ู…ู† ุงู„ู…ุฑูŠุญ ู…ู†
232
+
233
+ 59
234
+ 00:04:51,990 --> 00:04:58,210
235
+ ุงู„ุถุฑูˆุฑูŠ ุงู† ุงู†ุง ุงุบูŠุฑุงู„ุดุบู„ ุจุฏูŠ ุงู‚ูŠุตู‡ุง ุงู„ุญุฑุงุฑุฉ ุงุญูˆู„ู‡ุง
236
+
237
+ 60
238
+ 00:04:58,210 --> 00:05:04,330
239
+ ู„ูŠู‡ุด ู„ู…ู‚ุงูˆู…ุฉ ุงู„ุญุฑุงุฑุฉ ุงุญูŠู„ู‡ุง ู„ voltage ุงูˆ ู„ current
240
+
241
+ 61
242
+ 00:05:04,330 --> 00:05:07,590
243
+ ูˆ ุงู†ุง ุจุนุฏูŠู† ุจู‚ูŠุต ุงู„ voltage ุงูˆ ุงู„ current ุงูˆ ู„ูŠู‡ุด
244
+
245
+ 62
246
+ 00:05:07,590 --> 00:05:10,330
247
+ ู„ู…ู‚ุงูˆู…ุฉ ู…ู† ุฎู„ุงู„ ุงู„ุจุนุถ ุนู„ู‰ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ูุจุชูƒูˆู†
248
+
249
+ 63
250
+ 00:05:10,330 --> 00:05:14,570
251
+ ู…ุฑูŠุญุฉ ุฌุฏุง ูˆุนู…ู„ูŠุฉ ุณุฑูŠุนุฉ ูˆููŠ ุนู„ุงู‚ุงุช ูˆุงุถุญุฉ
252
+
253
+ 64
254
+ 00:05:19,440 --> 00:05:22,220
255
+ ุงู„ุงู† significance of mechanical measurement ุงูŠุด
256
+
257
+ 65
258
+ 00:05:22,220 --> 00:05:27,220
259
+ ุงู‡ู…ูŠุฉ ุงู„ู‚ูŠุงุณุงุช ุงู„ู…ูŠูƒุงู†ูŠูƒูŠุฉุŸ
260
+
261
+ 66
262
+ 00:05:27,220 --> 00:05:31,300
263
+ measuring provides quantitative information on the
264
+
265
+ 67
266
+ 00:05:31,300 --> 00:05:37,060
267
+ actual state of physical variables ุงู„ู‚ูŠุงุณ ุงู„ุนู…ู„ูŠุฉ
268
+
269
+ 68
270
+ 00:05:37,060 --> 00:05:44,430
271
+ ุงู„ู‚ูŠุงุณ ุจุชุนุทูŠู†ูŠ ู…ุนู„ูˆู…ุงุชูƒู…ูŠุฉ ุนู† ุญุงู„ุฉ variable ู…ุนูŠู†
272
+
273
+ 69
274
+ 00:05:44,430 --> 00:05:49,250
275
+ ุงูŠุด ูุงู†ุง ุงู‚ูŠุงุณ ูƒู…ูŠุฉ ุจู†ูุนุด ูˆุงู„ู„ู‡ ุงุญูƒูŠ ูˆุงู„ู„ู‡ ุงู„ู‚ุทุนุฉ
276
+
277
+ 70
278
+ 00:05:49,250 --> 00:05:54,990
279
+ ุงู„ู…ุนุฏู†ูŠุฉ ู‡ุฐู‡ ุณุฎู†ุฉ ุณุฎู†ุฉ quantitative ูˆู„ุง
280
+
281
+ 71
282
+ 00:05:54,990 --> 00:06:02,030
283
+ quantitative ู‡ุฐู‡ ูƒู… ุงู„ุณุฎู† ุจุงู„ู†ุณุจุงู„ูƒ ุจุงุฑุฏ ู„ุง ุงุดูŠ
284
+
285
+ 72
286
+ 00:06:02,030 --> 00:06:06,270
287
+ ุชุงู†ูŠ ุตุญ ูุงู†ุง ุงู„ู‚ูŠุงุณุงุช ุจุชุนุทูŠู†ูŠ quantitative ูŠุนู†ูŠ
288
+
289
+ 73
290
+ 00:06:06,270 --> 00:06:11,530
291
+ ุจุชุญูƒูŠู„ูƒ ู‡ุฐู‡ ุงู„ู‚ุทุนุฉ ุฏุฑุฌุฉ ุญุฑุงุฑุชู‡ุง ู…ูŠุฉููŠุด ุณุฎู† ูˆ ุจุงุฑุฏ
292
+
293
+ 74
294
+ 00:06:11,530 --> 00:06:17,150
295
+ ููŠ ุจุนุถ ุงู„ุฃุญูŠุงู† ู…ุซู„ุง ู…ูŠุฉ ููŠ ุชุดูƒูŠู„ ุญุฏูŠุฏ ุจุงุฑุฏ ุงู„ู…ูŠุฉ
296
+
297
+ 75
298
+ 00:06:17,150 --> 00:06:22,250
299
+ ุงูˆ ู†ุญูƒูŠ ุฏุฑุฌุฉ ุญุงู„ุฉ ุงู„ุบุฑูุฉ ููŠ ุชุดูƒูŠู„ ุงู„ุฒุฆุจู‚ ุจูŠูƒูˆู† ุฒูŠ
300
+
301
+ 76
302
+ 00:06:22,250 --> 00:06:26,050
303
+ ูˆุงู‚ ููŠ ุญุงู„ุฉ ุงู„ุตุญุฑุงุฑ ุนุงู„ูŠุฉ ุฌุฏุง ู…ุธู„ูˆุท ูุญูƒุงูŠุฉ ุณุฎู† ูˆ
304
+
305
+ 77
306
+ 00:06:26,050 --> 00:06:30,470
307
+ ุจุงุฑุฏ ุจูŠุฎุชู„ู ุจุงุฎุชู„ุงู ุงู„ variable ุงูˆ ุจุงุฎุชู„ุงู ุงู„ุธุฑูˆู
308
+
309
+ 78
310
+ 00:06:30,470 --> 00:06:35,930
311
+ ุงูˆ ุงู„ู…ุงุฏุฉmeasurement is both the vehicle for new
312
+
313
+ 79
314
+ 00:06:35,930 --> 00:06:39,710
315
+ understanding of the physical world ุงู„ู‚ูŠุงุตุงุช ู‡ูŠ
316
+
317
+ 80
318
+ 00:06:39,710 --> 00:06:45,990
319
+ ุงู„ู…ุญุฑูƒ ู„ู„ูู‡ู… ู„ู„ุนุงู„ู… ุงู„ุญู‚ูŠู‚ูŠ and the ultimate test
320
+
321
+ 81
322
+ 00:06:45,990 --> 00:06:49,810
323
+ of any theory and design ูˆ ู‡ูŠ ุฃูƒุชุฑ ุฃุดูŠ ู…ู…ูƒู† ุฃูุญุต
324
+
325
+ 82
326
+ 00:06:49,810 --> 00:07:00,870
327
+ ููŠู‡ ุฃูŠ ู†ุธุฑูŠุฉ ุฃู†ุช ุจุชุญูƒูŠ ูˆุงู„ู„ู‡ ุฃู†ู‡ ุฅุฐุง ุฃุนุทูŠุช ู…ุซู„ุง
328
+
329
+ 83
330
+ 00:07:00,870 --> 00:07:05,000
331
+ ุนู†ุฏูŠ heaterุจุณุฎู† ู…ูŠู‡ ุงู„ heater ุงู„ power ุจุชุงุนุชู‡ ูˆุงุญุฏ
332
+
333
+ 84
334
+ 00:07:05,000 --> 00:07:10,080
335
+ kilowatt ุงู„ู…ูˆุงุตู ุชุญูƒูŠ ู„ .. ู„ meet liter ุจุนุฏ ุณุงุนุฉ
336
+
337
+ 85
338
+ 00:07:10,080 --> 00:07:19,020
339
+ ุงู„ู…ูŠู‡ ุชุตู„ ุณุจุนูŠู† ุฏุฑุฌุฉ ูƒูŠู ุงุนุฑู ุจู‚ูŠุณ ุจุนุฏ ุณุงุนุฉ ู‡ูˆ
340
+
341
+ 86
342
+ 00:07:19,020 --> 00:07:21,220
343
+ ุจูŠุญูƒูŠ ุจุชุตู„ ุณุจุนูŠู† ุจุตู„ุช ุฎู…ุณูŠู†
344
+
345
+ 87
346
+ 00:07:24,110 --> 00:07:27,690
347
+ ูˆุตู„ูƒ ุชุณุนูŠู† ู…ุนู†ุงุชู‡ ุงู„ู†ุธุฑูŠุฉ ููŠู‡ุง ู…ุดูƒู„ุฉ ุงู†ุช ุงู„ุญุณุงุจ
348
+
349
+ 88
350
+ 00:07:27,690 --> 00:07:33,730
351
+ ุจุชุญูƒูŠ ูˆ ุจุชุญูƒูŠ ุงู†ุช ุจุนุฏ ุณุงุนุฉ ุงู„ู†ุธุฑูŠุฉ ู‡ูŠุตู„ ู„ุณุชูŠู† ููŠุง
352
+
353
+ 89
354
+ 00:07:33,730 --> 00:07:38,170
355
+ ุงู…ุง ู‡ูŠูˆุตู„ .. ู‡ูŠูƒูˆู† ุตุญ ูุนู„ุง ุจุนุฏ ุณุงุนุฉ ู‡ูŠุตูŠุฑ ุณุชูŠู†
356
+
357
+ 90
358
+ 00:07:38,170 --> 00:07:43,810
359
+ ุฏุฑุฌุฉ ุงูˆ ุจุนุฏ ุงุฑุจุนูŠู† ุฏู‚ูŠู‚ุฉ ุงูˆ ุจุนุฏ ุชู…ุงู†ูŠู† ุฏู‚ูŠู‚ุฉ
360
+
361
+ 91
362
+ 00:07:43,810 --> 00:07:47,990
363
+ ู…ุนู†ุงุชู‡ ู‡ูŠ ุจุชูุญุต ุงู„ theory ุจุชุชุฃูƒุฏ ู…ู† ู…ุฏู‰ ุฏู‚ุชู‡ุง
364
+
365
+ 92
366
+ 00:07:53,300 --> 00:07:59,160
367
+ ุงู„ุนู„ู… ุงู„ู‚ูŠุงุณุงุช ู‡ูˆ ุฃุณุงุณูŠ ู„ูƒู„ ุงู„ุจุญุซ ุงู„ุนู„ู…ูŠ ูˆ ุงู„ุชุทูˆูŠุฑ
368
+
369
+ 93
370
+ 00:07:59,160 --> 00:08:04,780
371
+ ูˆ ุงู„ุชุตู…ูŠู…
372
+
373
+ 94
374
+ 00:08:04,780 --> 00:08:11,380
375
+ ุฃูŠ
376
+
377
+ 95
378
+ 00:08:11,380 --> 00:08:18,900
379
+ ุนู…ู„ูŠุฉ ุชุตู…ูŠู… ู…ูŠูƒุงู†ูŠูƒูŠ ุจุบุถ ุงู„ู†ุธุฑ ุนู† ุชุนู‚ูŠุฏุฉ ุชุชูƒูˆู† ู…ู†
380
+
381
+ 96
382
+ 00:08:18,900 --> 00:08:23,640
383
+ ุชู„ุช ุนู†ุงุตุฑุงู„ุนู†ุตุฑ ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ูˆ experience element
384
+
385
+ 97
386
+ 00:08:23,640 --> 00:08:29,300
387
+ ุนู†ุตุฑ ุงู„ุฎุจุฑุฉ ุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ rational element ุงู„ุนู†ุตุฑ
388
+
389
+ 98
390
+ 00:08:29,300 --> 00:08:32,840
391
+ ุงู„ุชุงู„ุช ุงู„ experimental element ููŠ ุงู„ experience
392
+
393
+ 99
394
+ 00:08:32,840 --> 00:08:35,220
395
+ element ุงู„ experience element ุงู„ู„ูŠ ู‡ูˆ ุนู†ุตุฑ ุงู„ุฎุจุฑุฉ
396
+
397
+ 100
398
+ 00:08:36,090 --> 00:08:39,170
399
+ based on previous exposure to similar systems ู‡ุฐุง
400
+
401
+ 101
402
+ 00:08:39,170 --> 00:08:42,530
403
+ ูŠุนุชู…ุฏ ุนู„ู‰ ุชุนุฑุถูƒ ู„ .. ู„ .. ู„ .. ู„ .. ู„ .. ู„ ..
404
+
405
+ 102
406
+ 00:08:42,530 --> 00:08:45,730
407
+ ู„ุฃู…ูˆุฑ ู…ุดุงุจู‡ุฉ ู„ู„ process ุงู„ู„ูŠ ุงู†ุช ุดุบุงู„ ุนู„ูŠู‡ุง ุงูˆ ุงู„
408
+
409
+ 103
410
+ 00:08:45,730 --> 00:08:49,470
411
+ design process ุงู„ู„ูŠ ุงู†ุช ุนู„ูŠู‡ and on engineering's
412
+
413
+ 104
414
+ 00:08:49,470 --> 00:08:52,450
415
+ common sense ูˆ ุจูŠุชู…ุฏ ุนู„ู‰ ุงู„ common sense ุจุชุงุน
416
+
417
+ 105
418
+ 00:08:52,450 --> 00:08:56,510
419
+ ุงู„ู…ู‡ู†ุฏุณ ุชุจุนุฏ ูุชุฑุฉ ุชุตูŠุฑู‡ ุงุฑุจุนูŠู† ุณู†ุฉ ููŠ ุจุนุถ ุงู„ุดุฑุท
420
+
421
+ 106
422
+ 00:08:56,510 --> 00:09:01,270
423
+ ุจุชุจุทู„ูˆุง ุชุญุณุจูˆู‡ุง ุชู„ู‚ุงู‡ ุจูŠุตูŠุฑ ุฎู„ุงุต ุชู„ู‚ุงู‡ ุฎู„ุงุต ุนู†ุฏูƒ
424
+
425
+ 107
426
+ 00:09:01,270 --> 00:09:04,220
427
+ ุงู„ common sense ุงู† ู‡ุฐูŠ ูƒุงููŠ ู‡ุฐูŠ ูƒุชูŠุฑ ู‡ุฐูŠ ู‚ู„ูŠู„ู‡ุฐุง
428
+
429
+ 108
430
+ 00:09:04,220 --> 00:09:06,020
431
+ ู‡ูˆ ุงู„ common sense ุงู„ common sense ุจู†ุจู†ุงู‡ ุงู„ุดูƒู„
432
+
433
+ 109
434
+ 00:09:06,020 --> 00:09:09,980
435
+ ุญุงู„ู‡ ุจุฏูƒ ุชู…ูˆุฑ ููŠ ูƒู„ ู…ุฑุงุญู„ ุจุฏู‡ุง ุชุฌุฑุจุฉ ูˆ ู…ุงุฑุณุฉ
436
+
437
+ 110
438
+ 00:09:09,980 --> 00:09:13,580
439
+ ุงู„ุนู†ุตุฑ ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ rational element ุงู„
440
+
441
+ 111
442
+ 00:09:13,580 --> 00:09:15,740
443
+ rational element ุจูŠุนุชู…ุฏ on a quantitative
444
+
445
+ 112
446
+ 00:09:15,740 --> 00:09:19,720
447
+ engineering principle ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู„ู…ุจุงุฏุฆ ุงู„ู‡ู†ุฏุณูŠุฉ
448
+
449
+ 113
450
+ 00:09:19,720 --> 00:09:23,720
451
+ ุงู„ูƒู…ูŠุฉ ูˆ ู‚ูˆุงู†ูŠู† ุงู„ physics ูˆ ุงู„ุฑูŠุงุถูŠุงุช ูˆ ุงู„
452
+
453
+ 114
454
+ 00:09:23,720 --> 00:09:28,600
455
+ biology ูˆ ุงู„ chemistry ุงู„ experimental element
456
+
457
+ 115
458
+ 00:09:29,230 --> 00:09:33,950
459
+ ุงู„ุนู†ุตุฑ ุงู„ุชุฌุฑูŠุจูŠ ุจูŠุนุชู…ุฏ ุนู„ู‰ ุงู† ุงู†ุง ุจุงุฎุฏ ู‚ูŠุงุณุงุช
460
+
461
+ 116
462
+ 00:09:33,950 --> 00:09:40,630
463
+ ู„ูƒูŠู…ูŠุงุช ู…ุฎุชู„ูุฉ ู…ุชุนู„ู‚ุฉ ุงูˆ ู…ุฑุชุจุทุฉ ููŠ ุงู„ุนู…ู„ ุงูˆ ุงู„ุฃุฏุงุก
464
+
465
+ 117
466
+ 00:09:40,630 --> 00:09:45,430
467
+ ู„ู„ุฌู‡ุงุฒ ุชุญุช ุงู„ุฏุฑุงุณุฉ ูุงู†ุง ุนุดุงู† ุดูˆ ุงุณู…ู‡ ุงุนู…ู„ design
468
+
469
+ 118
470
+ 00:09:45,430 --> 00:09:50,540
471
+ ู„ุงุฒู… ุงุนู…ู„ ุชุฌุงุฑุจ ุจู…ุนู†ุงุชู‡ ุงูŠ designุจุงุนุชู…ุงุฏ ุงู„ุชู„ุงุชุฉ
472
+
473
+ 119
474
+ 00:09:50,540 --> 00:09:53,040
475
+ ุนู†ุตุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ experience element ุงูˆ ุงู„ rational
476
+
477
+ 120
478
+ 00:09:53,040 --> 00:09:56,680
479
+ element ุงูˆ ุงู„ experimental element ู„ุงู† ุจุงู„ุงุฎุฑ ู‡ูŠ
480
+
481
+ 121
482
+ 00:09:56,680 --> 00:10:04,620
483
+ ุงู„ measurement ุนุจุงุฑุฉ ุนู† ู…ู‚ุงุฑู†ุฉ ุจูŠู† ู…ุง ู‡ูˆ ู…ุทู„ูˆุจ
484
+
485
+ 122
486
+ 00:10:04,620 --> 00:10:13,340
487
+ ูˆุจูŠู† ู…ุง ู‡ูˆ ูˆ ุจูŠู† ู…ุง ูŠู…ูƒู† ุงู„ูˆุตูˆู„ ุงู„ูŠู‡ ูŠุนู†ูŠ ุจู…ุนู†ู‰ุงู†ุง
488
+
489
+ 123
490
+ 00:10:13,340 --> 00:10:16,840
491
+ ุจุฏูŠ ุงุตู„ ุงู„ุญุฑุงุฑุฉ ุงู„ู„ู‰ ุณุฎุงู† ุณุชูŠู† ุฏุฑุฌุฉ ุจุณุชุฎุฏู…
492
+
493
+ 124
494
+ 00:10:16,840 --> 00:10:21,200
495
+ thermometer ุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ ุจุดูˆู ู‡ู„ ูˆุตู„ุช ุงู„ intended
496
+
497
+ 125
498
+ 00:10:21,200 --> 00:10:25,280
499
+ ุงู„ intended ุงู„ู…ุทู„ูˆุจ ุงุด ู‡ูˆ ุณุชูŠู† ุงู„ู‚ูŠุงุณุฉ ุฃุนุทุงู†ูŠ
500
+
501
+ 126
502
+ 00:10:25,280 --> 00:10:29,780
503
+ ุฎู…ุณูŠู† ู…ุนู†ุงู‡ ู…ุงูˆุตู„ุชุด ู…ุนู†ุงู‡ ุจู‚ูŠู†ูŠ ู‚ุฑุงุฑ ุจูŠุญูƒูŠ ู„ูŠ ูƒู…ู„
504
+
505
+ 127
506
+ 00:10:29,780 --> 00:10:35,180
507
+ ุณุฎู† ูˆุตู„ุช ูˆุงุญุฏ ุณุชูŠู† ุจูŠุญูƒูŠ ู„ุฃ ุงุชุฎุทูŠุช ุงุทูู‰ ุฎู„ูŠ ูŠุจุฑุฏ ูˆ
508
+
509
+ 128
510
+ 00:10:35,180 --> 00:10:35,580
511
+ ู‡ูƒุฐุง
512
+
513
+ 129
514
+ 00:10:40,590 --> 00:10:44,990
515
+ ุงู„ู€measurement is a fundamental element of any
516
+
517
+ 130
518
+ 00:10:44,990 --> 00:10:48,470
519
+ control process ุฃูŠ ุนู…ู„ูŠุฉ ุงู„ุชุญูƒู… ูˆุงู„ุณูŠุทุฑุฉ ุจูŠูƒูˆู†
520
+
521
+ 131
522
+ 00:10:48,470 --> 00:10:56,210
523
+ ููŠู‡ุง ู‚ูŠุงุณุงุช ููƒุฑุฉ ุงู„ุชุญูƒู… ุจุชุทู„ุจ
524
+
525
+ 132
526
+ 00:10:56,210 --> 00:11:00,050
527
+ ุงู†ู‡ ุงู†ุง ููŠ ุนู†ุฏู‰ intention ููŠ ุนู†ุฏู‰ ู†ูŠุฉ ู…ุนูŠู†ุฉ ุจุฏู‰
528
+
529
+ 133
530
+ 00:11:00,050 --> 00:11:05,030
531
+ ุงู„ุญุฑุงุฑุฉ ุชุตู„ ุณุชูŠู† ุจู‚ูŠุต ุงู„ุญุฑุงุฑุฉ ุงู†ุง ุจุฏูŠ ุงุญูุธ ุฏุฑุฌุฉ
532
+
533
+ 134
534
+ 00:11:05,030 --> 00:11:09,410
535
+ ุญุฑุงุฑุฉ ุงู„ุณุฎุงู†ุฉ ุนู„ู‰ ุณุชูŠู† ุจู‚ูŠุต ุงู„ุญุฑุงุฑุฉุทู„ุนุช ุฎู…ุณูŠู†
536
+
537
+ 135
538
+ 00:11:09,410 --> 00:11:12,510
539
+ ู…ุนู†ุงุชู‡ ุงู†ุง ุชุญุช ุงู„ุณุชูŠู† ู…ุนู†ุงุชู‡ ุจุงุทูŠู„ู‡ ุงู„ูƒู…ูŠุฉ
540
+
541
+ 136
542
+ 00:11:12,510 --> 00:11:16,690
543
+ difference ุนุดุฑ ุฏุฑุฌุงุช ูˆุงู„ุงุชุฌุงู‡ ู„ุฃุนู„ู‰ direction
544
+
545
+ 137
546
+ 00:11:16,690 --> 00:11:20,570
547
+ ู…ุนู†ุงุชู‡ ุณุฎู† ู„ุญุฏ ุชุตู„ ุณุชูŠู† ุงุฐุง ูƒุงู†ุช ุงู„ุญุฑุงุฑุฉ ุงุชู†ูŠู†
548
+
549
+ 138
550
+ 00:11:20,570 --> 00:11:25,630
551
+ ูˆุณุชูŠู† ู…ุนู†ุงุชู‡ ุงู†ุง ุงุนู„ู‰ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ู…ุทู„ูˆุจุฉ
552
+
553
+ 139
554
+ 00:11:25,630 --> 00:11:31,910
555
+ ู…ุนู†ุงุชู‡ ุงู†ุง ุจุญูƒูŠู„ู‡ ููŠ ูุฑู‚ ุงุชู†ูŠู† ุงู†ุฒู„ ูŠุนู†ูŠ ุญุฏุฏุชู„ู‡ ุงู„
556
+
557
+ 140
558
+ 00:11:31,910 --> 00:11:35,510
559
+ difference ู…ูˆุฌุจ ุงูˆ ุณุงู„ุจ ุจู†ุงุก ุนู„ู‰ ุงู„ู…ูˆุฌุจ ูˆุงู„ุณุงู„ุจ
560
+
561
+ 141
562
+ 00:11:35,510 --> 00:11:37,070
563
+ ุญุฏุฏุชู„ู‡ ุงู„ direction ุงูŠุด ูŠุณูˆูŠ
564
+
565
+ 142
566
+ 00:11:45,710 --> 00:11:49,030
567
+ ุทุจุนุง to be useful, measurement must be reliable
568
+
569
+ 143
570
+ 00:11:49,030 --> 00:11:53,150
571
+ ุนุดุงู† ุชูƒูˆู† ุนุงู…ู„ุฉ ุงู„ู‚ูŠุงุณ ู…ููŠุฏุฉ ู„ุงุฒุช ุชูƒูˆู† reliable
572
+
573
+ 144
574
+ 00:11:53,150 --> 00:11:57,090
575
+ ูŠุนู†ูŠ ุฅูŠุดุŸ reliable ุชูƒูˆู† ูŠุนุชุฏูˆุง ุจู‡ุง ุชูƒูˆู† ูŠุนู†ูŠ ุณู„ูŠู…ุฉ
576
+
577
+ 145
578
+ 00:11:57,090 --> 00:12:02,550
579
+ having incorrect information ุฃู† ูŠูƒูˆู† ุนู†ุฏูŠ ู…ุนู„ูˆู…ุงุช
580
+
581
+ 146
582
+ 00:12:02,550 --> 00:12:06,850
583
+ ุฎุงุทุฆุฉ is potentially more damaging ู‡ุชูƒูˆู† ู…ุฏู…ุฑุฉ
584
+
585
+ 147
586
+ 00:12:06,850 --> 00:12:12,120
587
+ ุฃูƒุซุฑู…ุงูŠูƒูˆู†ุด ุงู†ุฏูŠ ู…ุนู„ูˆู…ุงุช ุงุฐุง ุงุนุทูŠุช ู…ุนู„ูˆู…ุงุช ุบู„ุท
588
+
589
+ 148
590
+ 00:12:12,120 --> 00:12:15,120
591
+ ุงุฎุทุฑ ุจูƒุชูŠุฑ ู…ุงูŠูƒูˆู†ุด ุงู†ุฏูŠ ู…ุนู„ูˆู…ุงุช ู…ุงู†ุง ู…ุงุนู†ุฏูŠุด
592
+
593
+ 149
594
+ 00:12:15,120 --> 00:12:17,320
595
+ ู…ุนู„ูˆู…ุงุช ู…ุงุนุดุงู† ุงู†ุฏูŠ ู…ุนู„ูˆู…ุงุช ู…ุนู†ู‰ ุงู„ุฏู†ูŠุง ู…ูุชูˆุญุฉ
596
+
597
+ 150
598
+ 00:12:17,320 --> 00:12:22,340
599
+ ุงู…ุงู…ูŠ ุงู†ู‡ ุงูุญุต ูˆ ุงุณุชู‚ุตูŠ ูˆ ุงุนุฑู ู„ูƒู† ุงุฐุง ุญุทูŠุช
600
+
601
+ 151
602
+ 00:12:22,340 --> 00:12:29,440
603
+ ู…ุนู„ูˆู…ุงุช ุบู„ุท ุญุตู„ ุงู„ู†ุชูŠุฌุฉ ุบู„ุท ุงู„ุขู†
604
+
605
+ 152
606
+ 00:12:29,440 --> 00:12:32,540
607
+ ุงู„ fundamental methods of measurements ุงู„ู„ูŠ ู‡ูˆ
608
+
609
+ 153
610
+ 00:12:32,540 --> 00:12:37,820
611
+ ุงู„ุทุฑู‚ ุงู„ุฃุณุงุณูŠุฉ ููŠ ุงู„ู‚ูŠุงุณุงุชููŠ ุนู†ุฏู‰ two basic
612
+
613
+ 154
614
+ 00:12:37,820 --> 00:12:40,860
615
+ methods of measurement ููŠ ุนู†ุฏู‰ ุทุฑูŠู‚ุชูŠู† ุฃุณุงุณูŠุงุช
616
+
617
+ 155
618
+ 00:12:40,860 --> 00:12:43,740
619
+ ู„ู„ู‚ูŠุงุณุงุช ููŠ ุนู†ุฏู‰ direct comparison with either a
620
+
621
+ 156
622
+ 00:12:43,740 --> 00:12:48,580
623
+ primary or secondary standard ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ุจุงุดุฑุฉ ู…ุน
624
+
625
+ 157
626
+ 00:12:48,580 --> 00:12:54,080
627
+ ุงู„ู„ูŠ ู‡ูˆ primary or secondary standard ุงู„ู„ูŠ ู‡ูˆ
628
+
629
+ 158
630
+ 00:12:54,080 --> 00:12:58,000
631
+ primary ุฃุณุงุณูŠ ูˆ secondary ุซุงู†ูˆูŠ ู…ุนูŠุงุฑ ุฃุณุงุณูŠ ุฃูˆ
632
+
633
+ 159
634
+ 00:12:58,000 --> 00:13:04,220
635
+ ุซุงู†ูˆูŠ ุงู„ู…ุนูŠุงุฑ ุงู„ุฃุณุงุณูŠ ููŠ ุงู„ุทูˆู„ ุฅูŠุด ู‡ูˆ ุงู„ ู…ุชุฑ ูˆูŠู†
636
+
637
+ 160
638
+ 00:13:04,220 --> 00:13:08,870
639
+ ู…ูˆุฌูˆุฏู…ูˆุฌูˆุฏ ููŠ ูุฑู†ุณุง ุจุงุฑูŠุณ ู‡ุฐุง ู‡ูˆ ุงู„ standard ุงูŠ
640
+
641
+ 161
642
+ 00:13:08,870 --> 00:13:11,690
643
+ ุดุบู„ุงุช ู…ุด ุทุงู‚ุฉ ู…ู†ู‡ secondary ุงู„ู…ุชุฑ ุงู†ุง ุจุณุชุฎุฏู…ู‡
644
+
645
+ 162
646
+ 00:13:11,690 --> 00:13:17,750
647
+ ุงู„ู…ุตุทู„ุญุงุช ูƒู„ู‡ุง ุงูŠุด secondary ุจุงู„ุธุจุท ุงูˆ indirect
648
+
649
+ 163
650
+ 00:13:17,750 --> 00:13:21,630
651
+ comparative system ุงูˆ ู…ู† ุฎู„ุงู„ ุงู„ู‚ูŠุงุณ ุงู„ุบูŠุฑ ู…ุจุงุดุฑ
652
+
653
+ 164
654
+ 00:13:21,630 --> 00:13:27,050
655
+ ู…ู† ุฎู„ุงู„ system ู…ุนูŠุฑ ุฒูŠ ุญูƒุงูŠุฉ ุงู† ุงู‚ูŠุต ุงู„ุญุฑุงุฑุฉ
656
+
657
+ 165
658
+ 00:13:27,050 --> 00:13:32,590
659
+ ุจุงู„ุญุฑุงุฑุฉ ู„ุฃ ู…ู† ุฎู„ุงู„ ู‚ูŠุงุณ ุงู„ู…ู‚ุงูˆู…ุฉ ุชุบูŠุฑ ุงู„ู…ู‚ุงูˆู…ุฉ
660
+
661
+ 166
662
+ 00:13:32,590 --> 00:13:35,150
663
+ ุงู†ุง ุงู‚ูŠุต ุงู„ุญุฑุงุฑุฉ ุจุดูƒู„ ุบูŠุฑ ู…ุจุงุดุฑ indirect
664
+
665
+ 167
666
+ 00:13:39,790 --> 00:13:43,150
667
+ ุทูŠุจ ุงู†ุง ุญุงุท example how would you measure the
668
+
669
+ 168
670
+ 00:13:43,150 --> 00:13:46,830
671
+ length of a bar of steel ู…ูˆุฌูˆุฏ ุงู„ุตูˆุฑุฉ ุนุงู„ูŠู…ูŠู† ุนู†ุฏู‰
672
+
673
+ 169
674
+ 00:13:46,830 --> 00:13:51,930
675
+ ู…ุชุฑ ุจูˆุญุฏุฉ ุงู„ inch ุงุตุบุฑ ู‚ูŠุงุณ ููŠู‡ ุชู…ุงู† ุงู†ุด ุชู…ุงู† ุงู†ุด
676
+
677
+ 170
678
+ 00:13:51,930 --> 00:13:55,050
679
+ ุชู…ุงู† ุงู†ุด ูŠุนู†ูŠ ุญูˆุงู„ู‰ ุชู„ุงุชุฉ ู…ู„ูŠ ุชู„ุงุชุฉ ูˆุงุฑูˆุงุญ ู…ู„ูŠ
680
+
681
+ 171
682
+ 00:13:55,050 --> 00:14:00,970
683
+ ุชู‚ุฑูŠุจุง ุชู„ุงุชุฉ ู…ู„ูŠ ุงุฐุง ุงู†ุง ูƒู†ุช ูŠุนู†ูŠ ุงู„ .. ุงู„ .. ุงู„
684
+
685
+ 172
686
+ 00:14:00,970 --> 00:14:03,850
687
+ .. ุงู„ .. ุงู„ุฏู‚ุฉ ู‡ุฐู‡ ุชู…ุงู† ุงู†ุด ุงูˆ ุชู„ุงุชุฉ ู…ู„ูŠ ูƒุงููŠุฉ ู„ู„
688
+
689
+ 173
690
+ 00:14:03,850 --> 00:14:05,510
691
+ application ุงู†ุช ู…ุซู„ุง ููŠ ุญุงู„ุฉ ุงู„ุทุงูˆู„ุฉ
692
+
693
+ 174
694
+ 00:14:08,540 --> 00:14:13,640
695
+ ู…ู…ูƒู† ุงุณุชุฎุฏู… ุงู„ู„ูŠ ู‡ูˆ ุงู„ู…ุชุฑ ู‡ุฐุง ุงู„ู„ูŠ ุจุณูˆูŠ ุงู†ุง ุจู‚ุงุฑู†
696
+
697
+ 175
698
+ 00:14:13,640 --> 00:14:19,640
699
+ ุจูุชุญ ุงู„ู…ุชุฑ ูˆ ุจู‚ุงุฑู† ู‡ุฐุง ุงู„ู…ุชุฑ primary ูˆู„ุง secondary
700
+
701
+ 176
702
+ 00:14:19,640 --> 00:14:27,520
703
+ standard primary secondary secondary standard ูุงู†ุง
704
+
705
+ 177
706
+ 00:14:27,520 --> 00:14:32,400
707
+ ุจู‚ุงุฑู† ุจุดูˆู ูˆุงู„ู„ู‡ ุงู† ู‡ุฐุง ุนู„ู‰ ุงู„ู…ุชุฑ ุงู†ุง ู‚ุงุฑู†ุช ุงู„ู…ุชุฑ
708
+
709
+ 178
710
+ 00:14:32,400 --> 00:14:38,590
711
+ ู…ุฏุฑุฌ ุทู„ุน ุณุจุชุงุดุฑ ุตู†ุฏูˆู‚ู…ุนู†ุงุฉ ุงู†ุง ู‚ุงุฑู†ุช ุจูŠู† ุงู„ุทูˆู„
712
+
713
+ 179
714
+ 00:14:38,590 --> 00:14:42,810
715
+ ุจุชุงุน ู‡ุฐุง ูˆ ุงู„ู„ูŠ ู‡ูˆ secondary standard ุนุดุงู† ุงุญุตู„
716
+
717
+ 180
718
+ 00:14:42,810 --> 00:14:50,270
719
+ ุนู„ู‰ ุงู„ุทูˆู„ ูˆุจุงู„ุชุงู„ูŠ ุงู†ุง ุญุตู„ุช ุงู„ู‚ูŠุงุณ ู…ู† ุฎู„ุงู„
720
+
721
+ 181
722
+ 00:14:50,270 --> 00:14:55,190
723
+ ุงู„ู…ู‚ุงุฑู†ุฉ ุงู„ู…ุจุงุดุฑุฉ ุนู„ู‰ ุงู„ุทูˆู„ ุนู„ู‰ ุงู„ู…ุทุฑุญ ุจุดูˆู ุทูˆู„
724
+
725
+ 182
726
+ 00:14:55,190 --> 00:14:58,710
727
+ ู…ุงููŠุด ุงุดูŠ ููŠ ุงู„ู†ุต ูˆุณูŠุท ุงูˆ ุชุบูŠุฑุงุช ู‡ุชุตูŠุฑ
728
+
729
+ 183
730
+ 00:15:02,900 --> 00:15:07,100
731
+ human senses ุงู„ู„ูŠ ู‡ูˆ ุงู„ุญูˆุงุณ ุนู„ู‰ ุงู„ุฅู†ุณุงู† are not
732
+
733
+ 184
734
+ 00:15:07,100 --> 00:15:09,320
735
+ capable to make direct comparisons of all
736
+
737
+ 185
738
+ 00:15:09,320 --> 00:15:13,960
739
+ quantities with equal facility ุงู„ุญูˆุงุณ ุงู„ุฅู†ุณุงู† ู…ุด
740
+
741
+ 186
742
+ 00:15:13,960 --> 00:15:19,700
743
+ ู…ุฌู‡ุฒุฉ ุฅู†ู‡ุง ุชุนู…ู„ ู‚ูŠุงุณุงุช ุจู…ู†ุชู‡ู‰ ุงู„ุฏู‚ุฉ ุทุจุนุง ูˆ ุชุฎุชู„ู
744
+
745
+ 187
746
+ 00:15:19,700 --> 00:15:21,540
747
+ ู…ู† ุดุฎุต ู„ุดุฎุตุŒ ู…ุธู„ูˆุทุŸ
748
+
749
+ 188
750
+ 00:15:24,140 --> 00:15:26,300
751
+ in many cases ููŠ ูƒุซูŠุฑ ุญุงุฌุงุช they are not sensitive
752
+
753
+ 189
754
+ 00:15:26,300 --> 00:15:34,320
755
+ enough ุจูŠูƒูˆู†ูˆุด ุญุณุณูŠู† ู„ู„ู‚ูŠุงุณ ุจุดูƒู„ .. ุจุดูƒู„ ูƒุงููŠ ูˆ ููŠ
756
+
757
+ 190
758
+ 00:15:34,320 --> 00:15:38,860
759
+ ุญุงู„ุงุช ุชุงู†ูŠุฉ ุจุชูƒูˆู† ุงู„ุญูˆุงุณ ุงู„ุฅู†ุณุงู† ู„ุง ุชุญุชู…ู„ ุงู„ุธุฑูˆู
760
+
761
+ 191
762
+ 00:15:38,860 --> 00:15:41,020
763
+ ุงู„ู„ูŠ ุจุฏู‡ุง ู‚ูŠุตู‡ุง ูŠุนู†ูŠ ุงู„ุญูˆุงุณ ุงู„ุฅู†ุณุงู† ู…ุงุชู‚ุฏุฑุด ุชู‚ูŠุตู‡ุง
764
+
765
+ 192
766
+ 00:15:41,020 --> 00:15:46,960
767
+ ุณุชูŠู† ุฏุฑุฌุฉุŒ ู…ุธุจูˆุทุŸ ุฃูˆ ู„ูˆ ุงู†ุช ุจุญุท ุฅูŠุฏู‡ ู…ุซู„ุง ู…ุซู„ุง
768
+
769
+ 193
770
+ 00:15:48,730 --> 00:15:51,950
771
+ ุงู„ุงู† we can make direct comparisons of small
772
+
773
+ 194
774
+ 00:15:51,950 --> 00:15:53,790
775
+ distances using a steroid with a precision of
776
+
777
+ 195
778
+ 00:15:53,790 --> 00:15:57,630
779
+ about millimeter ุทุจุนุง ุงู„ direct comparison ุจุฏูŠ ุฏู‚ุฉ
780
+
781
+ 196
782
+ 00:15:57,630 --> 00:16:02,230
783
+ ุฃูƒุชุฑ ุจุฏู„ ู…ุชุฑ ุจุณุชุฎุฏู… ู…ุตุทุฑุฉ ุฃุตุบุฑ ุชุฏุฑูŠุฌูŠุฉ ูˆุงุญุฏ
784
+
785
+ 197
786
+ 00:16:02,230 --> 00:16:05,730
787
+ millimeter ุนุดุงู† ุฃุญุตู„ ุฏู‚ุฉ ุฃูƒุชุฑ ุจุฏูŠ ุฏู‚ุฉ ุฃูƒุชุฑ ุจุณุชุฎุฏู…
788
+
789
+ 198
790
+ 00:16:05,730 --> 00:16:09,130
791
+ ู…ุซู„ุง caliber ุงู„ุฏู‚ุฉ ููŠ point oh one millimeter ุจุฏูŠ
792
+
793
+ 199
794
+ 00:16:09,130 --> 00:16:11,950
795
+ ุฏู‚ุฉ ุฃูƒุชุฑ ุจุณุชุฎุฏู… micro meter ุงู„ุฏู‚ุฉ ููŠ point oh oh
796
+
797
+ 200
798
+ 00:16:11,950 --> 00:16:12,710
799
+ one millimeter
800
+
801
+ 201
802
+ 00:16:15,780 --> 00:16:24,300
803
+ ุทุจุนุง ูƒู„ ู…ุง ุจุฏู‡ ุฏู‚ุฉ ุงุนู„ู‰ ุจุชุทู„ุจ ุงู„ู…ุณุงุนุฏุฉ ู…ู† ุฃู†ุธู…ุฉ
804
+
805
+ 202
806
+ 00:16:24,300 --> 00:16:32,860
807
+ ุงูƒุซุฑ ุชุนู‚ูŠุฏุง ุงูƒุซุฑ ุชุนู‚ูŠุฏุง ูŠุนู†ูŠ ุงุฐุง ุงู†ุง ุจุฏู‡ ุงู‚ูŠุณ ู…ุซู„ุง
808
+
809
+ 203
810
+ 00:16:32,860 --> 00:16:37,920
811
+ ุนู†ุฏ ูุฑู† ู„ุตุญุฑ ุงู„ุญุฏูŠุฏ ุจุชูƒูˆู† ุฑุดุญุฉ ุชูˆุตู„ ุงู„ู ูˆ ุณุชู…ูŠุฉ
812
+
813
+ 204
814
+ 00:16:37,920 --> 00:16:46,030
815
+ ุงู„ููŠู† ุฏุฑุฌุฉ ู…ุณุชุฎุฏู… .. ู…ุญุชุงุฌ ุงุนู…ู„ุฃุดูŠ ุฃูƒุชุฑ ุชุนู‚ูŠุฏ ู…ู…ูƒู†
816
+
817
+ 205
818
+ 00:16:46,030 --> 00:16:49,130
819
+ ุงุณุชุฎุฏู… ุงู„ุฃุดูŠุงุก ุงู„ุชุญุช ุงู„ุญู…ุฑุงุก Infrared .. Infrared
820
+
821
+ 206
822
+ 00:16:49,130 --> 00:16:53,370
823
+ ุจุชุฌุณุณ ูˆ ุจูŠุตูŠุฑ Transducer ุจูŠุตูŠุฑ ุนู…ู„ูŠุฉ ุชุญูˆูŠู„ ู…ู†
824
+
825
+ 207
826
+ 00:16:53,370 --> 00:16:56,550
827
+ Signal Signal Signal ูˆุจู‚ูŠุณ ุงู„ุญุฑุงุฑุฉ
828
+
829
+ 208
830
+ 00:16:58,880 --> 00:17:01,160
831
+ ูˆุจุงู„ุชุงู„ูŠ measured by direct comparison is less
832
+
833
+ 209
834
+ 00:17:01,160 --> 00:17:04,540
835
+ common than is measured by indirect comparison
836
+
837
+ 210
838
+ 00:17:04,540 --> 00:17:11,180
839
+ ู…ุนุธู… ุงู„ู‚ูŠุงุณุงุช ู‡ู†ู„ุงุญุธู‡ุง ู‚ูŠุงุณ ุจุดูƒู„ ุบูŠุฑ ู…ุจุงุดุฑุฉ ุฅู„ุง ููŠ
840
+
841
+ 211
842
+ 00:17:11,180 --> 00:17:17,180
843
+ ูˆุญุฏุงุช ู…ุซู„ุง ุงู„ .. ุงู„ .. ุงู„ุทูˆู„ ูˆ ุงู„ูƒุชู„ุฉ ูˆ ู…ุน ุฐู„ูƒ ุญุชู‰
844
+
845
+ 212
846
+ 00:17:17,180 --> 00:17:19,580
847
+ ุงู„ูƒุชู„ุฉ ุตุงุฑุช ุจุงู„ุทุฑู‚ ุบูŠุฑ ู…ุจุงุดุฑุฉ ุจุงุณุชุฎุฏุงู… ุงู„ู…ูˆุงุฒูŠู†
848
+
849
+ 213
850
+ 00:17:19,580 --> 00:17:22,580
851
+ ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ู‡ุฐู‡ ุงู„ุทุฑู‚ ุบูŠุฑ ู…ุจุงุดุฑุฉ ู„ู‚ูŠุงุณ ุงู„ูƒุชู„ุฉ
852
+
853
+ 214
854
+ 00:17:22,740 --> 00:17:28,680
855
+ ุงุณุชุฎุฏู… ู…ุซู„ุง ูƒุชู„ุฉ ุงู„ุดู…ุณ ุฌุณูˆู‡ุง ู„ู…ุณุงูุฉ ูˆ ู„ูƒุซุงูุฉ ู„ุณู‡
856
+
857
+ 215
858
+ 00:17:28,680 --> 00:17:37,580
859
+ ู…ุงุฌูŠู†ุงุด ู„ู‡ุฐู‡ ู…ุงุฌูŠู†ุงุด ู„ู„ standards ุงู„ู…ุนูŠุงุฑูŠ ุงู„ุงู†
860
+
861
+ 216
862
+ 00:17:37,580 --> 00:17:42,060
863
+ ุงู„ indirect method ุงูˆ ุงู„ indirect comparison
864
+
865
+ 217
866
+ 00:17:42,060 --> 00:17:48,090
867
+ ุงู„ู…ู‚ุงุฑู† ุบูŠุฑ ู…ุจุงุดุฑ ู‡ุณุชุฎุฏู… calibrated systemุงู„
868
+
869
+ 218
870
+ 00:17:48,090 --> 00:17:53,510
871
+ comparison makes use of some form of transducing
872
+
873
+ 219
874
+ 00:17:53,510 --> 00:18:01,020
875
+ device ุจูŠุณุชุฎุฏู… ุฌู‡ุงุฒ ุจูŠุญูˆู„ ุงู„ inputู„ุง ุฅุดูŠ ุชุงู†ูŠ ุจุญูˆู„
876
+
877
+ 220
878
+ 00:18:01,020 --> 00:18:06,220
879
+ ุญุฑุงุฑุฉ ู„ู…ู‚ุงูˆู…ุฉ ุจุญูˆู„ู‡ุง ู„ voltage ุจุญูˆู„ู‡ุง ู„ุงู…ุจูŠุฑ ูˆ
880
+
881
+ 221
882
+ 00:18:06,220 --> 00:18:10,060
883
+ ู‡ูƒุฐุง ุทุจุนุง ุนุดุงู† ุฃุญูˆู„ .. ุนุดุงู† ุฃุญูˆู„ ุจูŠุตูŠุฑ ุนู†ุฏู‰
884
+
885
+ 222
886
+ 00:18:10,060 --> 00:18:13,840
887
+ signals ุจูŠุตูŠุฑ ู†ูˆูŠุฒ ุงู„ .. ุงู„ .. ุงู„ .. ุงู„ุงู…ุจูŠุฑ ุงู„
888
+
889
+ 223
890
+ 00:18:13,840 --> 00:18:18,540
891
+ voltage ุงู„ู‚ู„ูŠู„ ุฌุฏุง ุงู„ุชุบูŠุฑ ูู…ุญุชุงุฌ ุฃุนู…ู„ู‡ ุงูŠุดุŸ ุชูƒุจูŠุฑ
892
+
893
+ 224
894
+ 00:18:18,540 --> 00:18:24,180
895
+ ูููŠ ู…ู†ุธูˆู…ุฉ ูƒุงู…ู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุนุดุงู† ุฃุนู…ู„ ุนู…ู„ูŠุฉ ุงู„ุชุญูˆูŠู„
896
+
897
+ 225
898
+ 00:18:29,210 --> 00:18:33,230
899
+ ุนุดุงู† ุฃุฌูŠุจ ู…ุซุงู„ human senses ุงู„ู„ูŠ ู‡ูˆ ุญูˆุงุณ ุฅู†ุณุงู† ุบูŠุฑ
900
+
901
+ 226
902
+ 00:18:33,230 --> 00:18:36,810
903
+ ู…ุตู…ู… ูˆ ุบูŠุฑ ู‚ุงุฏุฑ ุฅู†ู‡ุง ุฌุซ
904
+
905
+ 227
906
+ 00:18:38,730 --> 00:18:42,490
907
+ ุงู„ deformation ููŠ ุงู„ machine elements ุฅุฐุง ุนู†ุฏูŠ
908
+
909
+ 228
910
+ 00:18:42,490 --> 00:18:45,730
911
+ ู‚ุทุนุฉ ููŠ ุงู„ุณูŠุงุฑุฉ ุจูŠุตูŠุฑ ููŠู‡ุง deformation ุจุณ ุฅุญู†ุง
912
+
913
+ 229
914
+ 00:18:45,730 --> 00:18:50,370
915
+ ุจู†ุดูˆูู‡ุงุด ุฃูˆ ุจู†ู„ุงุญุธู‡ุงุด ู„ุฃู†ู‡ุง ุตุบูŠุฑุฉ ุฌุฏุง ู…ุนู†ุงุชู‡ ู…ุญุชุงุฌ
916
+
917
+ 230
918
+ 00:18:50,370 --> 00:18:55,470
919
+ ู„ู…ุณุงุนุฏุฉ ู…ู† ู†ุธุงู… ู…ู…ูƒู† ูŠุนู…ู„ sensing ุจุณุชุฎุฏู… ู…ุซู„ุง ุฅูŠุด
920
+
921
+ 231
922
+ 00:18:55,470 --> 00:19:00,430
923
+ ุงุณู…ู‡ strain gauges ุจุชุฌุณ .. ุจุชุฌุณ ุงู„ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„
924
+
925
+ 232
926
+ 00:19:00,430 --> 00:19:04,050
927
+ ุณูˆุงุก ุฒูŠุงุฏุฉ ุฃูˆ ู†ู‚ุตุงู† ุงู„ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„ ุจุชุบูŠุฑ .. ุจุชุญูˆู„
928
+
929
+ 233
930
+ 00:19:04,050 --> 00:19:09,020
931
+ ู„ุชุบูŠุฑ ููŠ ุงู„ .. ุงู„ .. ุงู„ู…ู‚ุงู…ุฉุฃูˆ ุจูŠุณุชูˆู„ุฏ ุนู†ุฏู‰
932
+
933
+ 234
934
+ 00:19:09,020 --> 00:19:13,160
935
+ voltage difference ุฒู‰ ู…ุซู„ุง ุนู†ุฏู‰ ุงู„ู„ู‰ ู‡ูˆ ุงู„ .. ุงู„
936
+
937
+ 235
938
+ 00:19:13,160 --> 00:19:17,740
939
+ piezoelectric ุงู„ู„ู‰ ู‡ู‰ piezoelectric material ุฒูŠ
940
+
941
+ 236
942
+ 00:19:17,740 --> 00:19:19,960
943
+ ุงู„ู…ุณุชุฎุฏู… ูู‰ ุงู„ุฌูˆุงู„ุงุช ุฃูˆ ูู‰ ุงู„ุณุงุนุงุช ุงู„ุฅู„ูƒุชุฑูˆู†ูŠุฉ ุฃูˆ
944
+
945
+ 237
946
+ 00:19:19,960 --> 00:19:23,300
947
+ ูู‰ ุงู„ computer ุงู„ู„ู‰ ุจุชุนู…ู„ .. ุงู„ู„ู‰ ุจุชุนู…ู„ ุงู„ู„ู‰ ู‡ูˆ ุงู„
948
+
949
+ 238
950
+ 00:19:23,300 --> 00:19:25,580
951
+ pulse ุจุชุงุนุฉ ุงู„ computer ุงู„ู„ู‰ ู‡ู‰ ุงู„ุณุงุนุฉ ุงู„ clock
952
+
953
+ 239
954
+ 00:19:25,580 --> 00:19:28,580
955
+ ุจุชุงุนุฉ ุงู„ computer ุจูŠุณุชุฎุฏู… ู…ุงุฏุฉ ุงุณู… piezoelectric
956
+
957
+ 240
958
+ 00:19:28,580 --> 00:19:36,040
959
+ ุฅุฐุง ุงู„ู…ุงุฏุฉ ู‡ุฏู‰ ุจูŠุนุทูŠู‡ุง voltage differenceุจุฒูŠุฏ
960
+
961
+ 241
962
+ 00:19:36,040 --> 00:19:43,260
963
+ ุทูˆู„ู‡ุง ุจุชุบูŠุฑ ุทูˆู„ู‡ุง ุงุฐุง ุงู„ุนูƒุณ ุจุจู‚ู‰ displacement
964
+
965
+ 242
966
+ 00:19:43,260 --> 00:19:50,420
967
+ ุจุชุนุทูŠู†ูŠ voltage ุจุชุนุทูŠู†ูŠ ุงูŠุด voltage ูุงู†ุง ุจุตูŠุฑ
968
+
969
+ 243
970
+ 00:19:50,420 --> 00:19:54,500
971
+ ุนู…ู„ูŠุฉ ู…ุญุชุงุฌ ู„ุงุฌู‡ุฒุฉ ุงู†ู‡ุงุก ุงู„ุฌุณ ู‡ุฐู‡ ุงู„ุชุบูŠุฑุงุช ุจุฏู‚ุฉ
972
+
973
+ 244
974
+ 00:19:54,500 --> 00:20:01,240
975
+ ุนุงู„ูŠุฉ ุฌุฏุง ู‡ุฐู‡
976
+
977
+ 245
978
+ 00:20:01,240 --> 00:20:12,570
979
+ ุงู„ NTC ูˆ PTCู…ู‚ุงูˆู…ุฉ ุงู„ุญุฑุงุฑุฉ ุงูŠุด ุงู„ NTC ุงู„ Pt Pt Pt
980
+
981
+ 246
982
+ 00:20:12,570 --> 00:20:16,750
983
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
984
+
985
+ 247
986
+ 00:20:16,750 --> 00:20:17,870
987
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
988
+
989
+ 248
990
+ 00:20:17,870 --> 00:20:18,650
991
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
992
+
993
+ 249
994
+ 00:20:18,650 --> 00:20:23,590
995
+ Pt Pt Pt Pt Pt Pt Pt Pt Pt Pt
996
+
997
+ 250
998
+ 00:20:23,590 --> 00:20:24,110
999
+ Pt Pt Pt Pt Pt Pt
1000
+
1001
+ 251
1002
+ 00:20:32,800 --> 00:20:38,320
1003
+ ู„ู„ู…ู‚ุงูˆู…ุฉ ุจุชู…ุฑ ููŠ .. ู…ู† ุงู„ุถุฑูˆุฑูŠ ุฃู†ู‡ ุฃุนู…ู„ .. ุฃุฒูˆุฏ
1004
+
1005
+ 252
1006
+ 00:20:38,320 --> 00:20:41,860
1007
+ ุงุฑุชูุงุน ุงู„ู…ูˆุฌุฉ ุงู„ amplitude ุฃูˆ ุฃุนุทูŠ .. ุจุฏู‡ุง power
1008
+
1009
+ 253
1010
+ 00:20:41,860 --> 00:20:44,940
1011
+ ุฃูˆ .. ุฃูˆ ุงู„ power through some form of
1012
+
1013
+ 254
1014
+ 00:20:44,940 --> 00:20:49,040
1015
+ amplificationุŒ ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุงุช ุชูƒุจูŠุฑุŒ ุชูƒุจูŠุฑ ู‡ุฐุง ุดุบู„
1016
+
1017
+ 255
1018
+ 00:20:49,040 --> 00:20:49,600
1019
+ ูƒู‡ุฑุจุง
1020
+
1021
+ 256
1022
+ 00:20:52,260 --> 00:20:54,520
1023
+ or it may be necessary to extract the desired
1024
+
1025
+ 257
1026
+ 00:20:54,520 --> 00:20:57,220
1027
+ information from a mass of extraneous input by a
1028
+
1029
+ 258
1030
+ 00:20:57,220 --> 00:21:00,480
1031
+ process of filtering ู„ุฃู† ู„ู…ุง ุฃุนู…ู„ ุชุทู„ุน ุงู„ signal
1032
+
1033
+ 259
1034
+ 00:21:00,480 --> 00:21:04,180
1035
+ ุนู†ุฏู‰ ู…ุชุทู„ุนุด perfect ูˆ ู†ุนู…ุฉ ู…ูŠุฉ ููŠ ุงู„ู…ูŠุฉ ุชุทู„ุน ุจูŠูƒูˆู†
1036
+
1037
+ 260
1038
+ 00:21:04,180 --> 00:21:14,620
1039
+ ููŠู‡ุง ุจุทู„ุน ุจูŠูƒูˆู† ููŠู‡ุง noise ู…ุชุทู„ุนุด ุฒูŠ ู‡ูŠูƒ ู…ุซู„ุง ู‡ุฐุง
1040
+
1041
+ 261
1042
+ 00:21:14,620 --> 00:21:21,020
1043
+ ุงู„ู„ูŠ ุญูˆุงู„ูŠู† ุงู„ู…ูุฑูˆุถ ุงู„ smooth ู…ุชูƒูˆู†ุด ุฒูŠ ู‡ูŠูƒ ูู‡ุฐุง
1044
+
1045
+ 262
1046
+ 00:21:21,020 --> 00:21:27,720
1047
+ ุจูŠุณู…ูˆู†ู‡ noiseุจูŠุตูŠุฑ ู†ุธุงู… ูู„ุชุฑุฉ ุจูŠุดูŠู„ ุงู„ noise ู‡ุฐู‡
1048
+
1049
+ 263
1050
+ 00:21:27,720 --> 00:21:32,700
1051
+ ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ุชุญูˆูŠู„ in each of the various cases ููŠ
1052
+
1053
+ 264
1054
+ 00:21:32,700 --> 00:21:35,920
1055
+ ุงู„ุญุงู„ุงุช ุงู„ุณุงุจู‚ุฉ ุงู„ู„ูŠ ุงุชุฐูƒุฑ ุงู„ู„ูŠ ุจุชุทู„ุจ ุณูˆุงุก ุชูƒุจูŠุฑ
1056
+
1057
+ 265
1058
+ 00:21:35,920 --> 00:21:42,460
1059
+ ุงูˆ ูู„ุชุฑุฉ ุงูˆ remote recording ุงู„ุชุณุฌูŠู„ ุนู† ุจุนุถ ุงู„ูƒู‡ุฑุฉ
1060
+
1061
+ 266
1062
+ 00:21:42,460 --> 00:21:48,340
1063
+ ุจุชุฏุฎู„ ุจู‚ูˆุฉ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุทูŠุจ
1064
+
1065
+ 267
1066
+ 00:21:48,340 --> 00:21:53,890
1067
+ ููŠ ู…ุง ูŠุณู…ู‰ ุงู„ generalized measuring systemุงู„ู„ูŠ ู‡ูˆ
1068
+
1069
+ 268
1070
+ 00:21:53,890 --> 00:21:57,790
1071
+ ู†ุธุงู… ุงู„ู‚ูŠุงุณุงุช ุงู„ุนุงู… generalized measuring system
1072
+
1073
+ 269
1074
+ 00:21:57,790 --> 00:22:01,810
1075
+ most measuring systems consist of three stages
1076
+
1077
+ 270
1078
+ 00:22:01,810 --> 00:22:07,290
1079
+ ู…ุนุธู… ุนู…ู„ูŠุงุช ุงู„ู‚ูŠุงุณ ุชุชูƒูˆู† ู…ู† ุชู„ุช ู…ุฑุงุญู„ ุงู„ stage
1080
+
1081
+ 271
1082
+ 00:22:07,290 --> 00:22:15,470
1083
+ ุงู„ุฃูˆู„ ุงู†ุง ุจุงุฌุณ ุจูƒูˆู† ุงู†ุฏูŠ ู…ุงุฌุณุจุนู…ู„ sensing ู„ู„
1084
+
1085
+ 272
1086
+ 00:22:15,470 --> 00:22:17,930
1087
+ variable ุงู†ุง ุจุฏูŠ ุงุนู…ู„ sensing ู„ู„ุญุฑุงุฑุฉ ุจุฏูŠ ุงุนู…ู„
1088
+
1089
+ 273
1090
+ 00:22:17,930 --> 00:22:21,230
1091
+ sensing ู„ู„ุญุฑุงุฑุฉ ุจุฏูŠ ุงุนู…ู„ sensing ู„ู„ displacement ูˆ
1092
+
1093
+ 274
1094
+ 00:22:21,230 --> 00:22:24,470
1095
+ ู‡ูƒุฐุง ู‡ุฐุง ุงู„ stage ุงู„ุฃูˆู„ ุงู„ู„ูŠ ู‡ู‰ detection ูˆ
1096
+
1097
+ 275
1098
+ 00:22:24,470 --> 00:22:28,450
1099
+ transduction ูŠุนู†ูŠ ุจุนู…ู„ detection ูˆ I transform
1100
+
1101
+ 276
1102
+ 00:22:28,450 --> 00:22:32,510
1103
+ transures ูŠุนู†ูŠ ุจูŠุบูŠุฑ ุงู†ุง ุง detect temperature
1104
+
1105
+ 277
1106
+ 00:22:32,510 --> 00:22:38,830
1107
+ ุจุบูŠู‘ู„ู‡ุง ุจุญูˆู„ู‡ุง ู„ุฅูŠุด ู„ุชุบูŠุฑ ููŠ ุงู„ู…ู‚ุงูˆู…ุฉ ู‡ุฐุง ุงู„ stage
1108
+
1109
+ 278
1110
+ 00:22:38,830 --> 00:22:46,860
1111
+ ุงูˆ ุจู†ุงุชู‡ detectionูˆ Transducer ูŠุนู†ูŠ ุจุฌุณ ุงู„ุญุฑุงุฑุฉ
1112
+
1113
+ 279
1114
+ 00:22:46,860 --> 00:22:53,780
1115
+ ุจุนุฏูŠู† ุจุญูˆู„ู‡ุง ู„ุงุดูŠ ุชุงู†ูŠ ุงู„ู„ูŠ ู‡ูŠ ู…ู‚ุงู…ุฉ voltage
1116
+
1117
+ 280
1118
+ 00:22:53,780 --> 00:22:58,420
1119
+ whatever stage two ุงู„ู„ูŠ ู‡ูˆ signal conditioning
1120
+
1121
+ 281
1122
+ 00:22:59,880 --> 00:23:03,740
1123
+ condition ูŠุนู†ูŠ ุจุธุจุท ุงู„ signalุŒ ุฅุฐุง ููŠู‡ุง noise
1124
+
1125
+ 282
1126
+ 00:23:03,740 --> 00:23:10,480
1127
+ ุจุดูŠู„ู‡ุงุŒ ุฅุฐุง ุจุฏู‡ุง ู…ู† ุฎู„ุงู„ ุนู…ู„ูŠุฉ ุงู„ูู„ุชุฑุฉุŒ ุฅุฐุง ุจุฏู‡ุง
1128
+
1129
+ 283
1130
+ 00:23:10,480 --> 00:23:16,880
1131
+ ู…ุซู„ุง ุชูƒุจูŠุฑุŒ ุจูƒุจุฑู‡ุงุŒ ุฅุฐุง ุจุฏู‡ุง ุนู…ู„ integrationุŒ some
1132
+
1133
+ 284
1134
+ 00:23:16,880 --> 00:23:19,200
1135
+ ูŠุนู†ูŠุŒ ุจุนู…ู„ู‡ุง integrationุŒ ุฅุฐุง ุจุฏู‡ุง ุนู…ู„ู‡ุง
1136
+
1137
+ 285
1138
+ 00:23:19,200 --> 00:23:21,320
1139
+ differentiationุŒ ุชุฌุฒูŠู‚ ุจุนู…ู„ู‡ุง differentiationุŒ ู‡ุฐู‡
1140
+
1141
+ 286
1142
+ 00:23:21,320 --> 00:23:26,140
1143
+ ูƒู„ ุนู…ู„ูŠุฉ ุชุณู…ูŠุงุด ุงู„ู„ูŠ ู‡ูˆconditioning stage ุงู„ stage
1144
+
1145
+ 287
1146
+ 00:23:26,140 --> 00:23:30,800
1147
+ ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูˆ ุงู„ stage ุงู†ู‡ุง read out ุจุชุทู„ุน ุงู„
1148
+
1149
+ 288
1150
+ 00:23:30,800 --> 00:23:36,280
1151
+ result read out ุจูŠูƒูˆู† ู…ู…ูƒู† ุนู„ู‰ ุดูƒู„ digital ุงูˆ ุนู„ู‰
1152
+
1153
+ 289
1154
+ 00:23:36,280 --> 00:23:42,180
1155
+ ุดูƒู„ ู…ุคุดุฑ ุงูˆ ุนู„ู‰ ุดูƒู„ graphical ุนู„ู‰ ุงู„ computer ุนู„ู‰
1156
+
1157
+ 290
1158
+ 00:23:42,180 --> 00:23:47,160
1159
+ ุดูƒู„ ุฅุถุงุกุฉ ุฃุดูƒุงู„ ู…ุฎุชู„ูุฉ ู„ู„ read out ู„ู„ resultู…ุนู†ุงุชู‡
1160
+
1161
+ 291
1162
+ 00:23:47,160 --> 00:23:51,380
1163
+ ุนู†ุฏู‰ ุงู„ measuring system ุจุชูƒูˆู† ุดูƒู„ ุฃุณุงุณ ู…ู† ุซู„ุงุซุฉ
1164
+
1165
+ 292
1166
+ 00:23:51,380 --> 00:23:55,180
1167
+ stages ุงู„ู„ู‰ ู‡ูˆ detection, transduction stage,
1168
+
1169
+ 293
1170
+ 00:23:55,940 --> 00:23:59,540
1171
+ signal conditioning stage ูˆ read out recording
1172
+
1173
+ 294
1174
+ 00:23:59,540 --> 00:24:04,140
1175
+ stage ุนู†ุฏู‰ ู‡ู‰ ุงู„ุดูƒู„ ุงู„ู…ุจูŠู†
1176
+
1177
+ 295
1178
+ 00:24:07,180 --> 00:24:13,040
1179
+ ู‡ุฐู‡ ุงู„ block diagram ู„ุฌู‡ุงุฒ ุงู„ measuring system ุงูˆู„
1180
+
1181
+ 296
1182
+ 00:24:13,040 --> 00:24:14,680
1183
+ ุดูŠ ุจุชุฏุฎู„ ุนู†ุฏูƒ ุงู„ู…ูŠุฌุฑุงู†ุฏ ุงู„ู…ูŠุฌุฑุงู†ุฏ ู‡ูŠ ุงู„ input
1184
+
1185
+ 297
1186
+ 00:24:14,680 --> 00:24:17,580
1187
+ quantity to be measured input quantity to be
1188
+
1189
+ 298
1190
+ 00:24:17,580 --> 00:24:23,300
1191
+ measured ู‡ุฐู‡ ู‡ูŠ ุฅูŠุด ุงู„ input ููŠ ุนู†ุฏูŠ sensor ุจุฌุณ
1192
+
1193
+ 299
1194
+ 00:24:23,300 --> 00:24:30,460
1195
+ ุงู„ุญุฑุงุฑุฉ ู…ุณุชุดุนุฑ ุงู„ู…ุณุชุดุนุฑุจูŠุญูˆู„ ู…ุซู„ุง ุงู„ุญุฑุงุฑุฉ ู„ ..
1196
+
1197
+ 300
1198
+ 00:24:30,460 --> 00:24:34,580
1199
+ ู„ู…ู‚ุงูˆู…ุฉ ู‡ู†ุง ููŠ ุงู„ stage ุงู„ุชุงู†ูŠ ุจูŠุตูŠุฑ ุงู„ู„ูŠ ู‡ูˆ
1200
+
1201
+ 301
1202
+ 00:24:34,580 --> 00:24:38,760
1203
+ single signal conditioning single signal
1204
+
1205
+ 302
1206
+ 00:24:38,760 --> 00:24:40,840
1207
+ conditioning ู…ู…ูƒู† ูŠูƒูˆู† amplification ู…ู…ูƒู†
1208
+
1209
+ 303
1210
+ 00:24:40,840 --> 00:24:43,620
1211
+ filtering integration differentiation ูู‰ ุดูŠุก ุงุชู†ูŠู†
1212
+
1213
+ 304
1214
+ 00:24:43,620 --> 00:24:47,360
1215
+ ู…ู…ูƒู† ู†ุณูˆูŠู‡ ูƒู„ู‡ ุนู…ู„ูŠุงุช ู…ุนุงู„ุฌุฉ ู„ู„ signal ุงู„ู„ู‰ ุชู…
1216
+
1217
+ 305
1218
+ 00:24:47,360 --> 00:24:52,580
1219
+ ุชุญูˆูŠู„ู‡ุง ู‡ู†ุง ุงู†ุง ุฃุฎุฏุช ุญุฑุงุฑุฉ ุจุณ ู‡ู†ุง ุจุทุฑุช ุญุฑุงุฑุฉ ุตุงุฑุช
1220
+
1221
+ 306
1222
+ 00:24:52,580 --> 00:24:56,060
1223
+ ุงุดูŠ ุชุงู†ูŠ ุตุงุฑุช ู…ู‚ุงูˆู…ุฉ ู…ุซู„ุง ุจุนุฏูŠู† ู‡ู†ุง ุงู†ุง ุจุฏุฃ ุฃุธุจุท
1224
+
1225
+ 307
1226
+ 00:24:56,060 --> 00:25:00,030
1227
+ ุงู„ signalุนุงู„ุฌู‡ุง ุงูƒุจุฑู‡ุง ุงูู„ุชุฑู‡ุง ุนุดุงู† ุงูŠุด ุงู‚ุฏุฑ
1228
+
1229
+ 308
1230
+ 00:25:00,030 --> 00:25:02,310
1231
+ ุงุทู„ุนู‡ุง ุนู„ู‰ ุงู„ output ุนู„ู‰ ุงู„ stage ุงู„ุชุงู„ุช ุงู„ู„ูŠ ู‡ูˆ
1232
+
1233
+ 309
1234
+ 00:25:02,310 --> 00:25:05,510
1235
+ ุงู„ stage ุงู„ุชุงู„ุช ู…ู…ูƒู† ูŠูƒูˆู† indicator ู…ุคุดุฑ ุงูˆ
1236
+
1237
+ 310
1238
+ 00:25:05,510 --> 00:25:13,370
1239
+ recorder ุงูˆ computer ุงูˆ led ุงูˆ LCD ุดุบู„ุงุช ูƒุชูŠุฑ ูŠุนู†ูŠ
1240
+
1241
+ 311
1242
+ 00:25:13,370 --> 00:25:17,790
1243
+ input processing output input processing output
1244
+
1245
+ 312
1246
+ 00:25:17,790 --> 00:25:23,110
1247
+ ุทุจุนุง
1248
+
1249
+ 313
1250
+ 00:25:23,110 --> 00:25:29,930
1251
+ ุงูŠ ุฌุณู… ุงู„ุฅู†ุณุงู† ู‡ู†ุงูƒ ุจุดุชุบู„ ูƒู…ุงู†ููŠ ุชุบูŠูŠุฑุงุช ุตุญูŠุญ ููŠ
1252
+
1253
+ 314
1254
+ 00:25:29,930 --> 00:25:34,650
1255
+ ุชูุงุตูŠู„ ุจุณ ุงุญู†ุง ููŠ ูƒุฐุง stages ุงู„ first stage ุงู„ู„ูŠ
1256
+
1257
+ 315
1258
+ 00:25:34,650 --> 00:25:38,130
1259
+ ู‡ูˆ ุงู„ first stage ุงู„ู„ูŠ ู‡ูˆ sensor transducer stage
1260
+
1261
+ 316
1262
+ 00:25:38,130 --> 00:25:41,090
1263
+ ุงู„ู‡ุฏู ู…ู† ุงู„ stage ุงู„ุฃูˆู„ู‰ ุงู„ primary function
1264
+
1265
+ 317
1266
+ 00:25:41,090 --> 00:25:43,750
1267
+ detect or sense the measurement ุงู„ู‡ุฏู ู…ู† ู‡ุฐุง ุงู„
1268
+
1269
+ 318
1270
+ 00:25:43,750 --> 00:25:49,350
1271
+ stage ุฃู†ู‡ ุฃุฌุณุณ ุฃุณุชุดุนุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูƒู…ูŠุฉ ุงู„ู…ุฑุงุฏ ู‚ูŠุงุณุฉ
1272
+
1273
+ 319
1274
+ 00:25:49,350 --> 00:25:50,370
1275
+ ุจุฏูŠ ุฃุณุชุดุนุฑ ุงู„ุญุฑุงุฑุฉ
1276
+
1277
+ 320
1278
+ 00:25:53,060 --> 00:25:55,580
1279
+ this stage should be insensitive to every other
1280
+
1281
+ 321
1282
+ 00:25:55,580 --> 00:25:58,580
1283
+ possible input ู‡ุฐุง ุงู„ stage ู…ุด ู„ุงุฒู… ูŠูƒูˆู† ุญุณุงุณ ู„ู„
1284
+
1285
+ 322
1286
+ 00:25:58,580 --> 00:26:04,280
1287
+ other inputs ูŠุนู†ูŠ ุงุฐุง ุงู†ุง ุจู‚ูŠุณ ุงู„ strain ุงุฐุง ูƒุงู†
1288
+
1289
+ 323
1290
+ 00:26:04,280 --> 00:26:05,900
1291
+ ุงู„ sensor ู‡ูˆ ุจูŠุนู„ู† ุงู„ strain gauge ุงู„ strain gauge
1292
+
1293
+ 324
1294
+ 00:26:05,900 --> 00:26:10,620
1295
+ ุจูŠู‚ูŠุณ ุชุบูŠุฑ ููŠ ุงู„ุทูˆู„ ุณูˆุงุก ุฒูŠุงุฏุฉ ุงูˆ ู†ู‚ุตุงู†ุฉ ู…ุด ู„ุงุฒู…
1296
+
1297
+ 325
1298
+ 00:26:10,620 --> 00:26:14,200
1299
+ ูŠูƒูˆู† ุญุณุงุณ ู„ุฏุฑุฌุฉ ุญุฑุงุฑุฉ ุงู„ุฌูˆ ุงู„ู…ุญูŠุท ูƒุชูŠุฑ ุงุฐุง ูƒุงู†
1300
+
1301
+ 326
1302
+ 00:26:14,200 --> 00:26:19,390
1303
+ ุญุณุงุณ ุจูŠุทู„ู‚ ุงู„ู‚ุฑุงุกุฉ ููŠู‡ุง ุฎุทุฃ ูƒุจูŠุฑrare it is rare to
1304
+
1305
+ 327
1306
+ 00:26:19,390 --> 00:26:21,730
1307
+ find a detecting device that is completely
1308
+
1309
+ 328
1310
+ 00:26:21,730 --> 00:26:28,650
1311
+ selective ู…ู† ุงู„ู†ุงุฏุฑ ุงู†ูƒ ุชุฌุฏ ุฌู‡ุงุฒ ุงุณุชุดุนุงุฑ ุงู†ู‡ ูŠูƒูˆู†
1312
+
1313
+ 329
1314
+ 00:26:28,650 --> 00:26:32,130
1315
+ ุดูƒู„ ูƒุงู…ู„ selective ุจุณ ุจู‚ูŠุฉ ุงู„ุญุฑุงุฑุฉ ุงู„ุง ูŠุชุฃุซุฑ
1316
+
1317
+ 330
1318
+ 00:26:32,130 --> 00:26:36,250
1319
+ ุจุงู„ู…ุคุซุฑุงุช ุจุณ ุจุฏู†ุง ู†ูƒูˆู† ู‚ุฏุฑ ุงู„ุฅู…ูƒุงู† ู…ุด ุญุณุงุณ
1320
+
1321
+ 331
1322
+ 00:26:36,250 --> 00:26:39,270
1323
+ unwanted
1324
+
1325
+ 332
1326
+ 00:26:39,270 --> 00:26:42,610
1327
+ sensitivity ุงู„ู„ูŠ ู‡ูŠ ุงู„ุญุณุงุณูŠุฉ ุงู„ู„ูŠ ุบูŠุฑ ู…ุฑุบูˆุจ ููŠู‡ุง
1328
+
1329
+ 333
1330
+ 00:26:42,610 --> 00:26:48,460
1331
+ is a measuring errorู‡ูŠ ุฎุทุฃ ููŠ ุงู„ู‚ูŠุงุณ .. ุฎุทุฃ ููŠ
1332
+
1333
+ 334
1334
+ 00:26:48,460 --> 00:26:53,120
1335
+ ุงู„ู‚ูŠุงุณ ุจุณู…ูŠู‡ุง noise when it varies rapidly ุจุณู…ูŠู‡ุง
1336
+
1337
+ 335
1338
+ 00:26:53,120 --> 00:26:59,720
1339
+ noise ู„ูˆ ุจุชุชุบูŠุฑูˆุง ุจุดูƒู„ ุณุฑูŠุน ุฌุฏุง ุจุณู…ูŠู‡ุง drift when
1340
+
1341
+ 336
1342
+ 00:26:59,720 --> 00:27:04,400
1343
+ it varies very slowly ู„ู…ุง ุชูƒูˆู† ุงู„ุชุบูŠุฑ ุจุทูŠู‚ ุฌุฏุง
1344
+
1345
+ 337
1346
+ 00:27:04,400 --> 00:27:08,140
1347
+ ุจุณู…ูŠู‡ุง drift ู„ูˆ ุชูƒูˆู† ุณุฑูŠุน ุฌุฏุง ุจุณู…ูŠู‡ุง ุฃูŠุงุด noise
1348
+
1349
+ 338
1350
+ 00:27:14,140 --> 00:27:18,020
1351
+ ู…ูˆุฌุงุชู‡ู… ู‡ู… ุชุณู…ูˆู‡ 80% ู…ู†ู‡ู… ููŠ ุงู„ููŠุฒูŠุงุก ูˆุงู„ุทุจูŠุนุฉ
1352
+
1353
+ 339
1354
+ 00:27:18,020 --> 00:27:22,360
1355
+ ูู…ุงููŠุด ุฌู‡ุงุฒ ููŠ ุงู„ุทุจูŠุนุฉ perfect ู…ุงููŠุด perfect ุงู„ุง
1356
+
1357
+ 340
1358
+ 00:27:22,360 --> 00:27:25,400
1359
+ ููŠู‡ุง ุงู†ุง ู…ุซู„ุง ุงู„ู…ุงุฏุฉ ู‡ุฐู‡ ุงุชูุฑุถู‡ุง ู…ุซู„ุง pure chrome
1360
+
1361
+ 341
1362
+ 00:27:25,400 --> 00:27:30,020
1363
+ ู…ุซู„ุง ู…ุงุชูƒูˆู†ุด pure chrome ู…ุซู„ุง ุงู„ crystals ุจุชุงุนุชู‡ุง
1364
+
1365
+ 342
1366
+ 00:27:30,020 --> 00:27:34,340
1367
+ ุงู„ุชูˆุฒูŠุน ู…ุด ุจุชูƒูˆู†ุด perfect ุงู„ุธุฑูˆู ุงู„ู…ุญูŠุทุฉ ููŠูƒ ุจุฑุถู‡
1368
+
1369
+ 343
1370
+ 00:27:34,340 --> 00:27:38,320
1371
+ ู…ุด perfect ุงู„ุฌู‡ุงุฒ ุงู„ู„ูŠ ุจูŠู‚ูŠุต ู…ุด perfect ููŠ ูƒู„ ุดูŠุก
1372
+
1373
+ 344
1374
+ 00:27:38,320 --> 00:27:43,270
1375
+ ููŠู‡ error ูุจูŠูƒูˆู† ุนุดุงู† ู‡ูŠูƒ ุจูŠุตูŠุฑ ููŠู‡ noiseุงู„ุดุฎุต
1376
+
1377
+ 345
1378
+ 00:27:43,270 --> 00:27:46,830
1379
+ ู‡ู†ุญูƒูŠ ููŠ ุงู„ .. ู‡ุฐุง ูƒู„ ุงู„ุดุบู„ measurement ู‡ุฐุง ู‡ู†ุญูƒูŠ
1380
+
1381
+ 346
1382
+ 00:27:46,830 --> 00:27:50,950
1383
+ ุนู„ู‰ ุงู„ errors ูˆ ุฃู†ูˆุงุนู‡ุง ูˆ ูƒูŠู ุทุฑู‚ ู‚ูŠุงุณู‡ุง ูˆ ุฏุฑุงุณุชู‡ุง
1384
+
1385
+ 347
1386
+ 00:27:50,950 --> 00:27:55,050
1387
+ ุทูŠุจ
1388
+
1389
+ 348
1390
+ 00:27:55,050 --> 00:28:00,370
1391
+ ุงู„ุขู† ุงู„ second stage ุงูˆ ุงู„ conditioning stage ุงูˆ
1392
+
1393
+ 349
1394
+ 00:28:00,370 --> 00:28:05,120
1395
+ ุงู„ processing stage ุณู…ูˆู‡ุงู„ู‡ุฏู ุจุชุงุนู‡ modify
1396
+
1397
+ 350
1398
+ 00:28:05,120 --> 00:28:08,560
1399
+ transduced information so that it is acceptable to
1400
+
1401
+ 351
1402
+ 00:28:08,560 --> 00:28:14,740
1403
+ third stage ุจุฑูˆุญ ุจุนู…ู„ ุชุนุฏูŠู„ ู„ู„ signal ุงู„ู„ูŠ ุชู…
1404
+
1405
+ 352
1406
+ 00:28:14,740 --> 00:28:19,760
1407
+ ุชุญูˆูŠู‡ ู…ู† ุญุฑุงุฑุฉ ู…ุซู„ุง ู„ู…ู‚ุงูˆู…ุฉ ุจูŠูƒูˆู† ู…ู‚ุจูˆู„ุฉ ุนู„ู‰ ุงู„
1408
+
1409
+ 353
1410
+ 00:28:19,760 --> 00:28:23,440
1411
+ third stage third stage ุงู„ู„ูŠ ู‡ูˆ ุงูŠุด ุงู„ result ุงูˆ
1412
+
1413
+ 354
1414
+ 00:28:23,440 --> 00:28:29,660
1415
+ ุงู„ output ู†ูŠู† increase either amplitude or power
1416
+
1417
+ 355
1418
+ 00:28:29,660 --> 00:28:37,270
1419
+ of signalุงุฑุชูุงุน ุงู„ู…ูˆุฌุฉ ุฃูˆ ุงู„ู‚ูˆุฉ ุจุชุงุนุชู‡ุง or both to
1420
+
1421
+ 356
1422
+ 00:28:37,270 --> 00:28:39,170
1423
+ deliver required to drive the final terminating
1424
+
1425
+ 357
1426
+ 00:28:39,170 --> 00:28:42,890
1427
+ device ู„ุงุฒู… ุชูƒูˆู† ุทู„ุนุช ู„ millivolt millivolt ู…ุซู„ุง
1428
+
1429
+ 358
1430
+ 00:28:42,890 --> 00:28:47,590
1431
+ signal ุจุฏูŠ ุฃุฎู„ูŠู‡ุง ุจุงู„ volt ุนุดุงู† ุชูƒูˆู† ู‚ุงุจู„ุฉ ุงู„ู‚ุฑุงุก
1432
+
1433
+ 359
1434
+ 00:28:47,590 --> 00:28:51,810
1435
+ ูˆ ุชุธู‡ุฑ ุนู†ุฏูŠ ูุงู†ุง ู…ุญุชุงุฌ ุฃูƒุจุฑู‡ุง ุฅุฐุง ููŠ noise ูู…ุญุชุงุฌ
1436
+
1437
+ 360
1438
+ 00:28:51,810 --> 00:28:56,630
1439
+ ุฃุนุทูŠู‡ุง power ุงู†ุช ู…ุซู„ุง ุนู†ุฏูƒ net ููŠ ุงู„ุจูŠุช ุนู†ุฏูƒ ุจูŠุช
1440
+
1441
+ 361
1442
+ 00:28:56,630 --> 00:28:59,830
1443
+ ูƒุจูŠุฑ ุนู†ุฏูƒ ุจูŠูƒูˆู† ุนู†ุฏูƒ router ุนู†ุฏูƒ ุงู„ู„ูŠ ู‡ูˆ router
1444
+
1445
+ 362
1446
+ 00:28:59,830 --> 00:29:06,160
1447
+ ู…ุธุจูˆุท ุจูŠูˆุฒุนุฃุจุนุฏุช ูƒุชูŠุฑ ุดูˆูŠุฉ ุนู†ู‡ ุชุถุนู ุงูŠุด ุจุชุญุทู„ู‡ุŸ
1448
+
1449
+ 363
1450
+ 00:29:06,160 --> 00:29:10,880
1451
+ ุจุชุนุทูŠู„ู‡ .. ุงูŠูˆุฉ ุจุชู‚ูˆู‚ ุงูŠุดุŸ ุงู„ signal ุจุชุนุทูŠู‡ุง power
1452
+
1453
+ 364
1454
+ 00:29:10,880 --> 00:29:16,480
1455
+ ุฒูŠุงุฏุฉ ูŠุนู†ูŠ ุฎู„ุงุต ุงู†ุง ุงู„ signal ุงุชุนุงู„ู‰ ุฏุฎู„ุช ู…ุซู„ุง
1456
+
1457
+ 365
1458
+ 00:29:16,480 --> 00:29:20,760
1459
+ ูˆุงุฎุฏู‡ ุทู„ุนุช ู…ุซู„ุง ุฎู…ุณุฉ ูˆุงุช ุงู„ power ุจุชุงุนุชู‡ุง ูˆุตู„ุชู†ุง
1460
+
1461
+ 366
1462
+ 00:29:20,760 --> 00:29:26,850
1463
+ ุงุชู†ูŠู† ูˆุงุชุจุงู„ุธุจุท ุจูŠุนุทูŠู‡ุง power ุฒูŠุงุฏุฉ ุนุดุงู† ุชุตูŠุฑ
1464
+
1465
+ 367
1466
+ 00:29:26,850 --> 00:29:29,870
1467
+ acceptable ู„ูˆ ุจู‚ู‰ ูˆุงุญุฏ ุจุนุฏูƒ ุงู†ู‡ ูŠู‚ุฑุฃู‡ุง ุงู…ุง ุงุฐุง
1468
+
1469
+ 368
1470
+ 00:29:29,870 --> 00:29:34,630
1471
+ ุจุฏูˆู† .. ุจุฏูˆู† ุชู‚ูˆูŠุฉ ู…ุด ู‡ุชูƒูˆู† ู‚ุงุฏุฑ ุนู„ู‰ ุงู†ู‡ ูŠุณุชุดุนุฑ
1472
+
1473
+ 369
1474
+ 00:29:34,630 --> 00:29:40,990
1475
+ ุงู„ู…ูˆุฌูˆุฏ ุตุญูŠุญ ุทุจุนุง ููŠู‡ุง ุชูุงุตูŠู„ ุฌูˆุง ุทูŠุจ it may
1476
+
1477
+ 370
1478
+ 00:29:40,990 --> 00:29:43,870
1479
+ perform one or more basic operations ููŠ ุนู…ู„ูŠุฉ ุงู„ู„ูŠ
1480
+
1481
+ 371
1482
+ 00:29:43,870 --> 00:29:47,990
1483
+ ู‡ูŠ ุงู„ conditioning stage ู…ู…ูƒู† ุชุนู…ู„ filteringto
1484
+
1485
+ 372
1486
+ 00:29:47,990 --> 00:29:52,190
1487
+ remove noise integration differentiation ุนู…ู„ูŠุงุช
1488
+
1489
+ 373
1490
+ 00:29:52,190 --> 00:29:57,570
1491
+ ูƒุชูŠุฑ ู…ู…ูƒู† ุชุตูŠุฑ ููŠ ุนู…ู„ูŠุงุช ุงู„ู…ุนุงู„ุฌุฉ ุงู„ second stage
1492
+
1493
+ 374
1494
+ 00:29:57,570 --> 00:29:59,530
1495
+ must be designed for proper matching
1496
+
1497
+ 375
1498
+ 00:29:59,530 --> 00:30:01,310
1499
+ characteristics ูŠุนู†ูŠ ุงู„ second stage ุฌุงูŠ ููŠ
1500
+
1501
+ 376
1502
+ 00:30:01,310 --> 00:30:05,250
1503
+ ุงู„ู…ุตุจูŠู† ุงู„ first stage ูˆ second stage ู…ุนู†ุงุชู‡ ู„ุงุฒู…
1504
+
1505
+ 377
1506
+ 00:30:05,250 --> 00:30:07,730
1507
+ ูŠูƒูˆู† ุงู„ matching ุตุญ ุจูŠู† ุงู„ first ูˆ second ูˆ
1508
+
1509
+ 378
1510
+ 00:30:07,730 --> 00:30:10,730
1511
+ matching ุตุญ ุจูŠู† ุงู„ second ูˆ third ุนุดุงู† ูŠูƒูˆู† ุงู„
1512
+
1513
+ 379
1514
+ 00:30:10,730 --> 00:30:11,850
1515
+ system ุดุบู„ ุตุญ
1516
+
1517
+ 380
1518
+ 00:30:16,900 --> 00:30:21,940
1519
+ ุงู„ third stage ุงู„ู„ูŠ
1520
+
1521
+ 381
1522
+ 00:30:21,940 --> 00:30:28,840
1523
+ ู‡ูˆ ุงู„ recording stage ุฃูˆ ุงู„ output stage ุงู„
1524
+
1525
+ 382
1526
+ 00:30:28,840 --> 00:30:36,620
1527
+ third stage ุจูŠู‚ูŠู†ูŠ ู…ุนู„ูˆู…ุงุช ุจุดูƒู„ ูŠูƒูˆู† ู…ูู‡ูˆู… ู„ุญูˆุงุณ
1528
+
1529
+ 383
1530
+ 00:30:36,620 --> 00:30:42,600
1531
+ ุงู„ุฅู†ุณุงู† ู„ุฅู†ู‡ ูŠูƒูˆู† ููŠูู‡ู…ู‡ุฃูˆ ู„ู†ุธุงู… ุชุญูƒู… ุงู†ุง ููŠ ุงู„ุขุฎุฑ
1532
+
1533
+ 384
1534
+ 00:30:42,600 --> 00:30:49,820
1535
+ ู‡ูƒูˆู† ุฏู‡ ุจุงู„ุธุจุท ู„ู†ุธุงู… PLC ุงูˆ ุงูŠ ุงุด ุชุงู†ูŠ ุทูŠุจ if
1536
+
1537
+ 385
1538
+ 00:30:49,820 --> 00:30:53,920
1539
+ output is intended for immediate human recognition
1540
+
1541
+ 386
1542
+ 00:30:53,920 --> 00:30:56,860
1543
+ it is generally present in one of the following
1544
+
1545
+ 387
1546
+ 00:30:56,860 --> 00:31:00,660
1547
+ forms ุงุฐุง ูƒุงู† ุงู„ output ุงู„ู…ู‚ุตูˆุฏ ููŠู‡ ุงู† ุงู„ุฅู†ุณุงู†
1548
+
1549
+ 388
1550
+ 00:31:00,660 --> 00:31:02,280
1551
+ ูŠุณุชุฎุฏู…ู‡ ุจุดูƒู„ ู…ุจุงุดุฑ
1552
+
1553
+ 389
1554
+ 00:31:05,730 --> 00:31:08,110
1555
+ ู…ู…ูƒู† as relative displacement such as movement
1556
+
1557
+ 390
1558
+ 00:31:08,110 --> 00:31:13,330
1559
+ ุจุฒุงุญุงุช ู…ุคุดุฑุงุช ู‡ุฐู‡ ุจูŠุตูŠุฑ relative ุงุฒุงุญุฉ ุงูˆ ุฎู„ุงู„
1560
+
1561
+ 391
1562
+ 00:31:13,330 --> 00:31:19,830
1563
+ ู…ุซู„ุง oscilloscope ุงูˆ ุฎู„ุงู„ ุงู„ led ุงูˆ ุฎู„ุงู„ LCD ุงูˆ
1564
+
1565
+ 392
1566
+ 00:31:19,830 --> 00:31:23,830
1567
+ ุฎู„ุงู„ computer
1568
+
1569
+ 393
1570
+ 00:31:23,830 --> 00:31:28,570
1571
+ screen ููŠ ุทุฑู‚ ูƒุชูŠุฑ ุนุดุงู† ุชูƒูˆู† ุงุณุชุนุฑุถ ุงู„ stage
1572
+
1573
+ 394
1574
+ 00:31:28,570 --> 00:31:30,790
1575
+ ุงู„ุชุงู„ุช ู‡ู†ุดูˆู ู…ุซุงู„
1576
+
1577
+ 395
1578
+ 00:31:33,860 --> 00:31:39,480
1579
+ ุนู†ุฏูŠ ู‡ู†ุง ุฌู‡ุงุฒ ุจุฏู‚ูŠุณ ุถุบุท ุนุฌู„ ุงู„ุณูŠุงุฑุฉ ุทุจุนุง ู‡ู†ุง ุจูƒูˆู†
1580
+
1581
+ 396
1582
+ 00:31:39,480 --> 00:31:42,960
1583
+ ุนู†ุฏูŠ ุจุฑููŠุฌ ุจุดุจูƒ ุงู„ุนุฌู„ ู‡ู†ุง ูŠุนู†ูŠ ู‡ู†ุง ุจุฏุฎู„ ุงู„ู‡ูˆุงุก
1584
+
1585
+ 397
1586
+ 00:31:42,960 --> 00:31:47,620
1587
+ ุงู„ู…ุถุบูˆุท ุจุฏุฎู„ ุงู„ู‡ูˆุงุก ู‡ู†ุง ู…ุถุบูˆุท ู‡ู†ุง ููŠ ุนู†ุฏูŠ ู…ูƒุจุณ
1588
+
1589
+ 398
1590
+ 00:31:47,620 --> 00:31:53,020
1591
+ ุทุจุนุง ู‡ุฐู‡ ุฃุณุทูˆุงู†ุฉ ููŠ ุนู†ุฏูŠ ู…ูƒุจุณ ุงู„ุขู† ูˆููŠ ุนู†ุฏูŠ ู‡ู†ุง
1592
+
1593
+ 399
1594
+ 00:31:53,020 --> 00:31:59,140
1595
+ ุฒู…ุจุฑูƒ ูˆุนู†ุฏูŠ ู‡ุฐุง ุงู„ุฑุฏ ู…ุฏุฑุฌ ุงู„ุขู† ุจุฏุฎู„ ุงู„ู‡ูˆุงุก ู…ู† ู‡ู†ุง
1596
+
1597
+ 400
1598
+ 00:31:59,140 --> 00:32:06,150
1599
+ ุจุฏุบุท ุจุฏุบุท ุนู„ู‰ ุงู„ pistonู…ุนู†ุงุชู‡ ุงู†ุง ููŠ ุนู†ุฏูŠ pressure
1600
+
1601
+ 401
1602
+ 00:32:06,150 --> 00:32:15,950
1603
+ ุนู…ู„ุชู„ู‡ transducer ูŠุนู†ูŠ ุญูˆู„ุชู‡ ู…ู† ุถุบุท ู„ูŠุด ู„ force ุงู„
1604
+
1605
+ 402
1606
+ 00:32:15,950 --> 00:32:19,870
1607
+ force ู…ุด ุดูˆ ูŠุณุชูˆูŠ P ููŠ area ููŠ ุงู„ area ุตุญ ุงู„ force
1608
+
1609
+ 403
1610
+ 00:32:19,870 --> 00:32:24,530
1611
+ ู…ุด ุตุนุจ P ููŠ ุงู„ area
1612
+
1613
+ 404
1614
+ 00:32:30,430 --> 00:32:34,130
1615
+ ุงู„ู„ูŠ ุณูˆูŠุชู‡ ุงู†ุง ุงู„ pressure ุจุถุบุท ุนู„ู‰ ูƒู„ ุฌุฒุก ู…ู†
1616
+
1617
+ 405
1618
+ 00:32:34,130 --> 00:32:37,910
1619
+ ุงู„ู…ูƒุจุณ ู„ู…ุง ุงู†ุง ุฌู…ุนุช ุงู„ุถุบุท ููŠ one component ุนู…ู„ุชู‡
1620
+
1621
+ 406
1622
+ 00:32:37,910 --> 00:32:43,770
1623
+ integration ุนู…ู„ุช sum ุงู„ total effect ุนุทุงู†ูŠ force
1624
+
1625
+ 407
1626
+ 00:32:43,770 --> 00:32:51,050
1627
+ ุนู…ู„ุช integration ุงู„ุขู† ุงู„ุชุญูˆูŠู„ ุงู„ุชุงู†ูŠ ุงู„ุขู† ุงู„ force
1628
+
1629
+ 408
1630
+ 00:32:51,050 --> 00:32:55,530
1631
+ ู‡ุฐู‡ ู‡ุชุถุบุท ุนู„ู‰ ุงู„ุฒู…ุจุฑูƒ ุงู„ force ู‡ุชุญูˆู‘ู‰ ู…ู† ุฎู„ุงู„ ุงู„
1632
+
1633
+ 409
1634
+ 00:32:55,530 --> 00:33:02,320
1635
+ spring system ู„ุฅูŠุงุด ู„ุฅุฒุงุญุฉุฅุฐุง ุญุฏ ู…ุฏุฑุฌ ุฎู„ุงุต ุจู‚ุฑุฃ
1636
+
1637
+ 410
1638
+ 00:33:02,320 --> 00:33:10,640
1639
+ ุฅูŠุด ุงู„ุฏุบุท ู…ุนู†ุงุชู‡ ููŠ ูƒุงู† ุนู†ุฏูŠ input stage ุนู†ุฏูŠ
1640
+
1641
+ 411
1642
+ 00:33:10,640 --> 00:33:15,180
1643
+ pressure ุชุญูˆู„ ู„ force ุนู†ุฏูŠ ุงู„ spring ุญูˆู„ ุงู„ force
1644
+
1645
+ 412
1646
+ 00:33:15,180 --> 00:33:18,580
1647
+ ู„ displacementุŒ displacement ุฃุนุทุงู†ูŠ ู‚ุฑุงุกุฉ ู†ู‡ุงุฆูŠุฉ
1648
+
1649
+ 413
1650
+ 00:33:21,910 --> 00:33:25,950
1651
+ ุงุญู†ุง ุญูƒูŠู†ุง ูู‰ ุนู†ุฏู‰ input ุงู„ input ุงูŠุด ู‡ูˆ ุงู„
1652
+
1653
+ 414
1654
+ 00:33:25,950 --> 00:33:29,710
1655
+ pressure ูู‰ ุนู†ุฏู‰ sensor and transducer stage ุงู„ู„ู‰
1656
+
1657
+ 415
1658
+ 00:33:29,710 --> 00:33:34,090
1659
+ ู‡ูˆ ุงู„ stage ุงู„ุฃูˆู„ุงู†ู‰ ูู‰ ุนู†ุฏู‰ ุงู„ piston cylinder
1660
+
1661
+ 416
1662
+ 00:33:34,090 --> 00:33:39,930
1663
+ system ุญูˆู‘ู„ ุงู„ pressure ู„ุฅูŠุด ู„ force ูˆ ุนู†ุฏู‰ ุงู„
1664
+
1665
+ 417
1666
+ 00:33:39,930 --> 00:33:44,390
1667
+ spring ุญูˆู‘ู„ ุงู„ force ู„ุฅูŠุด displacement ุนู…ู„ุช ุงู†ุง
1668
+
1669
+ 418
1670
+ 00:33:44,390 --> 00:33:52,440
1671
+ conditioning ู…ุนุงู„ุฌุฉ ู„ุฃ ู…ุงุนู…ู„ุด ู…ุนุงู„ุฌุฉ ุจุณ ู‡ูˆุญุทู†ุงู‡ุง ูƒ
1672
+
1673
+ 419
1674
+ 00:33:52,440 --> 00:33:57,440
1675
+ block ุจุณ ู…ุง ุงุณุชุฎุฏู…ู†ู‡ุงุด ู…ุง ุณุฑู†ุฏู‡ conditioning ุณุฑู†ุฏู‡
1676
+
1677
+ 420
1678
+ 00:33:57,440 --> 00:34:01,100
1679
+ read out ู…ุจุงุดุฑ read out ู…ุจุงุดุฑ ููŠ ุชู„ุงุชุฉ stages
1680
+
1681
+ 421
1682
+ 00:34:01,100 --> 00:34:05,080
1683
+ ูˆุงุถุญุฉ ูˆุฅู† ูƒู†ุง ูู‚ุฏู†ุง ุงู„ stage ุงู„ูˆุณุทุงู†ูŠ ููŠ ุงู„ุญุงู„ุฉ
1684
+
1685
+ 422
1686
+ 00:34:05,080 --> 00:34:11,820
1687
+ ู‡ุฐู‡ ุทูŠุจ ู†ุดูˆู ู…ุซุงู„ ุชุงู†ูŠ ุฃูƒุชุฑ ุชุนู‚ูŠุฏุง ุงู„ู…ุซุงู„ ุงู„ุชุงู†ูŠ
1688
+
1689
+ 423
1690
+ 00:34:11,820 --> 00:34:16,180
1691
+ ุจู†ู‚ูŠุณ ุณุฑุนุฉ ุณูŠุงุฑุฉ ุณุฑุนุฉ ุณูŠุงุฑุฉ
1692
+
1693
+ 424
1694
+ 00:34:19,310 --> 00:34:21,950
1695
+ ุนุดุงู† ุงู‚ูŠุต ุณุฑุนุฉ ุงู„ุณูŠุงุฑุฉ ุจุณุชุฎุฏู… ุฌู‡ุงุฒ ุงุณู…ู‡
1696
+
1697
+ 425
1698
+ 00:34:21,950 --> 00:34:25,570
1699
+ accelerometer accelerometer ุจู‚ูŠุต ุงู„ acceleration
1700
+
1701
+ 426
1702
+ 00:34:25,570 --> 00:34:28,570
1703
+ ุจุชุงุนุฉ ุงู„ุณูŠุงุฑุฉ ุงู„ุณูŠุงุฑุฉ ูŠุนู†ูŠ ุจู‚ูŠุต ุงู„ุชุบูŠุฑ ููŠ ุงู„ุณุฑุนุฉ
1704
+
1705
+ 427
1706
+ 00:34:28,570 --> 00:34:32,770
1707
+ ุจู‚ูŠุต ุงู„ุชุบูŠุฑ ููŠ ุงู„ุณุฑุนุฉ ู…ุน ุงู„ุฒู…ู† ู‡ุฐุง ู‡ูˆ ุงู„ first
1708
+
1709
+ 428
1710
+ 00:34:32,770 --> 00:34:36,330
1711
+ stage .. stage one ุงู„ู„ูŠ ู‡ูˆ sensor ุงู„ transducer
1712
+
1713
+ 429
1714
+ 00:34:36,330 --> 00:34:41,750
1715
+ ุงู„ุขู† ุงู†ุง ุจู‚ูŠุต ุงู„ acceleration ุจูŠุทู„ุน ู„ูŠ ุงูŠุด analog
1716
+
1717
+ 430
1718
+ 00:34:41,750 --> 00:34:47,130
1719
+ signal ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ุงู„ acceleration ู…ุน ุงู„ุฒู…ู† ู…ู†ุตุฉ
1720
+
1721
+ 431
1722
+ 00:34:47,130 --> 00:34:50,840
1723
+ ุงู„ุนู…ู„ูŠุฉ ุงู„ุชุญูˆูŠู„ุนู†ุฏูŠ ุงู„ input ุงูƒุชุดู ุตุงุฑ ุนู†ุฏูŠ
1724
+
1725
+ 432
1726
+ 00:34:50,840 --> 00:34:54,900
1727
+ transducer ุตุงุฑ ุนู†ุฏูŠ acceleration ู…ุน ุงู„ุฒู…ู† ุงูˆ .. ุงูˆ
1728
+
1729
+ 433
1730
+ 00:34:54,900 --> 00:34:58,540
1731
+ .. ุงูˆ ู…ุด ุงูƒุชุดู voltage output ุตุงุฑ voltage out ุญูˆุงุช
1732
+
1733
+ 434
1734
+ 00:34:58,540 --> 00:35:03,400
1735
+ ู…ู† acceleration ู„ voltage output ุจุงู„ุดูƒู„ ู‡ุฐุง ู„ุญุธุฉ
1736
+
1737
+ 435
1738
+ 00:35:03,400 --> 00:35:07,240
1739
+ ููŠ noise ุจุนู…ู„ู‡ุง
1740
+
1741
+ 436
1742
+ 00:35:07,240 --> 00:35:14,680
1743
+ filtering ุจุดูŠู„ unwanted noise ุจุชุทู„ุน ุนู†ุฏูŠ ุงูŠุด ูŠุนู†ูŠ
1744
+
1745
+ 437
1746
+ 00:35:14,680 --> 00:35:18,580
1747
+ ุจุชุทู„ุน ุนู†ุฏูŠ signal ุงู†ุถู ุดูˆูŠุฉุจุนุฏูŠู† ุนู†ุฏูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„
1748
+
1749
+ 438
1750
+ 00:35:18,580 --> 00:35:30,280
1751
+ acceleration a ุจุณูˆุฉ dv ุนู„ู‰ dt ู…ุนู†ุงุชู‡ dv ุจุณูˆุฉ
1752
+
1753
+ 439
1754
+ 00:35:30,280 --> 00:35:37,700
1755
+ a dt ู…ุนู†ุงุชู‡ ุงู„ integral ู„ู„ุทุฑููŠู† ุงู„ู„ูŠ ู‡ูˆ v delta v
1756
+
1757
+ 440
1758
+ 00:35:37,700 --> 00:35:45,160
1759
+ ู‡ุชู…ูŠู„ ุงู„ integral ู„ a dt ุตุญุŸู…ุนู†ุงุชู‡ ุงู†ุง ุจุนู…ู„
1760
+
1761
+ 441
1762
+ 00:35:45,160 --> 00:35:50,160
1763
+ summation integration ู…ุนู†ุงุชู‡ ุงูŠุดุŸ summation ู…ุนู†ุงุชู‡
1764
+
1765
+ 442
1766
+ 00:35:50,160 --> 00:35:53,580
1767
+ ููŠ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุจุนู…ู„ integration ุจุนู…ู„ integration
1768
+
1769
+ 443
1770
+ 00:35:53,580 --> 00:35:58,920
1771
+ ุจุญูˆู„ ู…ู† ุงู„ signal ุจุชุนุจุฑ ุนู† ุงู„ acceleration ู„ู„
1772
+
1773
+ 444
1774
+ 00:35:58,920 --> 00:36:04,060
1775
+ signal ุจุชุนุจุฑ ุนู† ุงู„ุตุฑุงุน ุนู…ู„ุช ู…ุน ุงู„ุฒู…ู† ู„ุงู† ุงู„ signal
1776
+
1777
+ 445
1778
+ 00:36:04,060 --> 00:36:09,300
1779
+ ู‡ูŠ ู„ุณู‡ ุถุนูŠูุฉ ุจุนู…ู„ู‡ุง ุงูŠุดุŸ amplification ุจูƒุจุฑู‡ุง
1780
+
1781
+ 446
1782
+ 00:36:09,300 --> 00:36:14,930
1783
+ ู…ุนู†ุงุชู‡ ู‡ูŠ ุนู†ุฏ stage twoูƒุงู† ููŠ ุนู†ุฏูŠ filtering ูƒุงู†
1784
+
1785
+ 447
1786
+ 00:36:14,930 --> 00:36:16,790
1787
+ ููŠ ุนู†ุฏูŠ integration ูˆูƒุงู† ููŠ ุนู†ุฏูŠ amplification ููŠ
1788
+
1789
+ 448
1790
+ 00:36:16,790 --> 00:36:22,850
1791
+ ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„
1792
+
1793
+ 449
1794
+ 00:36:22,850 --> 00:36:27,770
1795
+ signal ู‡ุฐู‡ ุจุฑูˆุญ ุนู„ู‰ ุงู„ data acquisition systemูˆ
1796
+
1797
+ 450
1798
+ 00:36:27,770 --> 00:36:31,270
1799
+ ุจุนู…ู„ ุจุงูˆุฑู‡ุง printer ุงูˆ screen ูˆ ุจุนู…ู„ ุนุฑุถ ู„ู„ ..
1800
+
1801
+ 451
1802
+ 00:36:31,270 --> 00:36:33,410
1803
+ ุฅูŠุดุŸ ู„ู„ full stageุŒ ู…ุนู†ุงู‡ ุชู‚ุฑูŠุจุง ุฏูŠ ุชู„ุงุชุฉ stages
1804
+
1805
+ 452
1806
+ 00:36:33,410 --> 00:36:36,530
1807
+ ูุนู„ุงุŒ ุงู„ stage one ุงู„ู„ูŠ ู‡ูˆ detection ุงูˆ sensing
1808
+
1809
+ 453
1810
+ 00:36:36,530 --> 00:36:40,610
1811
+ plus translucent ูˆ ุงู„ second stage ุงู„ู„ูŠ ู‡ูˆ signal
1812
+
1813
+ 454
1814
+ 00:36:40,610 --> 00:36:43,810
1815
+ conditioning ูˆ ุงู„ third stage ุงู„ู„ูŠ ู‡ูˆ ุงู„ result ุงูˆ
1816
+
1817
+ 455
1818
+ 00:36:43,810 --> 00:36:44,870
1819
+ ุงู„ read outุŒ ุจุงู„ุธุจุท
1820
+
1821
+ 456
1822
+ 00:36:58,670 --> 00:37:07,310
1823
+ ูƒู„ู‡ ุญูƒูŠู†ุงู‡ุง ุฏู‡ ุทูŠุจ ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠ ุจู†ูƒู…ู„ ุงุนุทูŠูƒูˆุง
1824
+
1825
+ 457
1826
+ 00:37:07,310 --> 00:37:07,670
1827
+ ุงู„ุนุงููŠุฉ
1828
+
SKIP:::PL9fwy3NUQKwbknFHzECJkgNOSFOth6GiS/0XznCDgyMy8_postprocess.srt ADDED
@@ -0,0 +1,2100 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,220 --> 00:00:23,980
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู…ุŒ good morningุŒ how are you todayุŸ
4
+
5
+ 2
6
+ 00:00:23,980 --> 00:00:27,800
7
+ Very goodุŒ very goodุŒ I hope that you have had a
8
+
9
+ 3
10
+ 00:00:27,800 --> 00:00:31,200
11
+ chance to go over this very important topic in
12
+
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+ 4
14
+ 00:00:31,200 --> 00:00:34,980
15
+ your textbook. Today we're looking at the first
16
+
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+ 5
18
+ 00:00:34,980 --> 00:00:38,320
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+ component, the first element in a good paragraph
20
+
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+ 6
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+ 00:00:38,320 --> 00:00:41,260
23
+ which is the topic sentence. Remember last time we
24
+
25
+ 7
26
+ 00:00:41,260 --> 00:00:44,140
27
+ talked about the structure of a paragraph and we
28
+
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+ 8
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+ 00:00:44,140 --> 00:00:47,280
31
+ said that for a very good paragraph structure it
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+
33
+ 9
34
+ 00:00:47,280 --> 00:00:50,840
35
+ has to have three elements. What are they?Topic
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+
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+ 10
38
+ 00:00:50,840 --> 00:00:55,360
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+ sentence topic sentence topic sentence topic
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+
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+ 11
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+ 00:00:55,360 --> 00:00:59,540
43
+ sentence topic sentence topic sentence topic
44
+
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+ 12
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+ 00:00:59,540 --> 00:01:01,940
47
+ sentence topic sentence topic sentence topic
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+
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+ 13
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+ 00:01:01,940 --> 00:01:02,180
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+ sentence topic sentence topic sentence topic
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+
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+ 14
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+ 00:01:02,180 --> 00:01:02,440
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+ sentence topic sentence topic sentence topic
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+
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+ 15
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+ 00:01:02,440 --> 00:01:02,600
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+ sentence topic sentence topic sentence topic
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+
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+ 16
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+ 00:01:02,600 --> 00:01:02,760
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+ sentence topic sentence topic sentence topic
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+
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+ 17
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+ 00:01:02,760 --> 00:01:02,940
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+ sentence topic sentence topic sentence topic
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+
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+ 18
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+ 00:01:02,940 --> 00:01:03,460
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+ sentence topic sentence topic sentence topic
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+
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+ 19
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+ 00:01:03,460 --> 00:01:03,660
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+ sentence topic sentence topic sentence topic
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+
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+ 20
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+ 00:01:03,660 --> 00:01:04,020
79
+ sentence topic sentence topic sentence topic
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+
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+ 21
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+ 00:01:04,020 --> 00:01:04,980
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+ sentence topic sentence topic sentence topic
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+
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+ 22
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+ 00:01:04,980 --> 00:01:05,320
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+ sentence topic sentence topic sentence topic
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+
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+ 23
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+ 00:01:05,320 --> 00:01:05,360
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+ sentence topic sentence topic sentence topic
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+
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+ 24
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+ 00:01:05,360 --> 00:01:05,640
95
+ sentence topic sentence topic sentence topic
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+
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+ 25
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+ 00:01:05,640 --> 00:01:06,060
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+ sentence topic sentence topic sentence topic
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+
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+ 26
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+ 00:01:06,060 --> 00:01:06,080
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+ sentence topic sentence topic sentence topic
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+
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+ 27
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+ 00:01:06,080 --> 00:01:10,830
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+ sentence topic sentence topic sentence topicthe
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+
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+ 28
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+ 00:01:10,830 --> 00:01:13,990
111
+ topic sentence okay and we're going to hopefully
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+
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+ 29
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+ 00:01:13,990 --> 00:01:18,550
115
+ to practice writing good topic sentences so what
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+
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+ 30
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+ 00:01:18,550 --> 00:01:20,450
119
+ is a topic sentence? we talked about this last
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+
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+ 31
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+ 00:01:20,450 --> 00:01:24,830
123
+ time what is a topic sentence? yes please it's the
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+
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+ 32
126
+ 00:01:24,830 --> 00:01:27,290
127
+ first sentence in a paragraph and it tells the
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+
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+ 33
130
+ 00:01:27,290 --> 00:01:30,490
131
+ reader that like what is the paragraph very nice
132
+
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+ 34
134
+ 00:01:30,490 --> 00:01:33,490
135
+ very nice so it is generally the first sentence in
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+
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+ 35
138
+ 00:01:33,490 --> 00:01:36,830
139
+ a paragraph it is the most important and the most
140
+
141
+ 36
142
+ 00:01:36,830 --> 00:01:40,950
143
+ general sentence in a paragraphูˆ ุฃู‡ู… ุดูŠุก ู‡ูˆ ุฃู†ู‡
144
+
145
+ 37
146
+ 00:01:40,950 --> 00:01:47,870
147
+ ูŠุญุชูˆูŠ ุนู„ู‰ ููƒุฑุฉ ุฃุณุงุณูŠุฉ ู„ู„ุชุญุฏุซ ููŠ ู…ู‚ุงู„ุฉุŒ ู‡ุฐู‡ ู‡ูŠ
148
+
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+ 38
150
+ 00:01:47,870 --> 00:01:50,850
151
+ ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ู…ุฉ ููŠ ู…ู‚ุงู„ุฉ ุฌูŠุฏุฉ ุฏุนูˆู†ุง ู†ุนุชุจุฑ ู‡ุฐุง
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+
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+ 39
154
+ 00:01:50,850 --> 00:01:55,910
155
+ ุงู„ู…ุซุงู„ ู…ู‚ุงู„ุฉ ูŠุญุชูˆูŠ ุนู„ู‰ ู…ู‚ุงู„ุฉ ุฌูŠุฏุฉ ุฌุฏุงุŒ ุฏุนูˆู†ุง
156
+
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+ 40
158
+ 00:01:55,910 --> 00:02:01,310
159
+ ู†ู‚ุฑุฃู‡ุง ุจุณุฑุนุฉุŒ ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃู‡ู… ููŠ ู…ุฏูŠู†ุชู†ุง ู‡ูŠPoor
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+
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+ 41
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+ 00:02:01,310 --> 00:02:04,470
163
+ public transportation system. So this is the topic
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+
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+ 42
166
+ 00:02:04,470 --> 00:02:08,510
167
+ sentence in a paragraph on this idea. What is the
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+
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+ 43
170
+ 00:02:08,510 --> 00:02:11,590
171
+ main idea here in the first sentence? In this
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+
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+ 44
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+ 00:02:11,590 --> 00:02:14,050
175
+ topic sentence? All right. Let me just read it
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+
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+ 45
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+ 00:02:14,050 --> 00:02:17,790
179
+ again. The most important problem in our city is
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+
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+ 46
182
+ 00:02:17,790 --> 00:02:21,150
183
+ its poor public transportation system. What is the
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+
185
+ 47
186
+ 00:02:21,150 --> 00:02:24,410
187
+ topic? What is the important idea? What is the
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+
189
+ 48
190
+ 00:02:24,410 --> 00:02:27,350
191
+ main idea in this sentence? Yes please.
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+
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+ 49
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+ 00:02:31,920 --> 00:02:36,120
195
+ and another thing it's about the problem of poor
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+
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+ 50
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+ 00:02:36,120 --> 00:02:39,900
199
+ public transportation system in our city so this
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+
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+ 51
202
+ 00:02:39,900 --> 00:02:43,100
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+ is what the paragraph actually discusses the
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+
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+ 52
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+ 00:02:43,100 --> 00:02:46,840
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+ problem of poor public transportation system in
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+
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+ 53
210
+ 00:02:46,840 --> 00:02:49,580
211
+ our city and as you can see the structure is a
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+
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+ 54
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+ 00:02:49,580 --> 00:02:52,210
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+ topic sentence, a number of sentencesto support,
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+
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+ 55
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+ 00:02:52,370 --> 00:02:55,030
219
+ to learn support, to develop, to discuss this main
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+
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+ 56
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+ 00:02:55,030 --> 00:02:59,310
223
+ idea and then we end with a concluding sentence.
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+ 57
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+ 00:02:59,310 --> 00:03:02,890
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+ This is also another example of a good paragraph
228
+
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+ 58
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+ 00:03:02,890 --> 00:03:05,950
231
+ which has a good topic sentence. Let's just read.
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+
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+ 59
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+ 00:03:06,310 --> 00:03:09,530
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+ There are several possible reasons why my father
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+
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+ 60
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+ 00:03:09,530 --> 00:03:12,510
239
+ is in excellent health. What is the main idea
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+
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+ 61
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+ 00:03:12,510 --> 00:03:12,830
243
+ here?
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+
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+ 62
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+ 00:03:16,260 --> 00:03:23,260
247
+ why my father is in excellent health why my father
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+
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+ 63
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+ 00:03:23,260 --> 00:03:28,040
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+ is in excellent health all these supporting
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+
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+ 64
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+ 00:03:28,040 --> 00:03:33,340
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+ sentences actually elaborate give reasons why my
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+
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+ 65
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+ 00:03:33,340 --> 00:03:35,800
259
+ father is in excellent health and finally we end
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+
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+ 66
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+ 00:03:35,800 --> 00:03:39,580
263
+ up with a concluding sentence in short my father
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+
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+ 67
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+ 00:03:39,580 --> 00:03:45,250
267
+ is in better healthุงู„ุดูŠุทุงู† ูˆ ุจุนุถ ุฃุทูุงู„ู‡ ูู‡ุฐุง ู…ุฌุฏุฏุง
268
+
269
+ 68
270
+ 00:03:45,250 --> 00:03:49,510
271
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุตุญูŠุญ ูŠุญุชูˆูŠ ุนู„ู‰ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
272
+
273
+ 69
274
+ 00:03:49,510 --> 00:03:54,150
275
+ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ
276
+
277
+ 70
278
+ 00:03:54,150 --> 00:03:56,310
279
+ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
280
+
281
+ 71
282
+ 00:03:56,310 --> 00:03:58,810
283
+ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
284
+
285
+ 72
286
+ 00:03:58,810 --> 00:04:11,350
287
+ ู…ุตุทู„ุญ ุต
288
+
289
+ 73
290
+ 00:04:32,230 --> 00:04:35,330
291
+ So is the topic sentences number one, two or
292
+
293
+ 74
294
+ 00:04:35,330 --> 00:04:38,470
295
+ three? Which one is the best topic sentence for
296
+
297
+ 75
298
+ 00:04:38,470 --> 00:04:43,450
299
+ this short paragraph? Clearly it has to be number
300
+
301
+ 76
302
+ 00:04:43,450 --> 00:04:47,630
303
+ two. Very nice. Books are my favorite or my
304
+
305
+ 77
306
+ 00:04:47,630 --> 00:04:48,310
307
+ father's.
308
+
309
+ 78
310
+ 00:04:50,970 --> 00:04:54,210
311
+ Why? Because all these supporting sentences relate
312
+
313
+ 79
314
+ 00:04:54,210 --> 00:04:58,010
315
+ to this topic sentence number two. So this is what
316
+
317
+ 80
318
+ 00:04:58,010 --> 00:05:00,870
319
+ we need to keep in mind. A topic sentence must be
320
+
321
+ 81
322
+ 00:05:00,870 --> 00:05:03,870
323
+ the general idea to be discussed in detail in the
324
+
325
+ 82
326
+ 00:05:03,870 --> 00:05:05,930
327
+ rest of the paragraph. Let's consider another
328
+
329
+ 83
330
+ 00:05:05,930 --> 00:05:08,770
331
+ paragraph and see what is the best topic sentence
332
+
333
+ 84
334
+ 00:05:08,770 --> 00:05:09,370
335
+ in this paragraph.
336
+
337
+ 85
338
+ 00:05:35,370 --> 00:05:39,350
339
+ ุญุณู†ู‹ุงุŒ ุญุณู†ู‹ุงุŒ ูุจุงู„ุทุจุน ุงู„ุณู„ุณู„ุฉ ู‡ูŠ ุฃูŠ ุณู„ุณู„ุฉุŸ ุฑู‚ู…
340
+
341
+ 86
342
+ 00:05:39,350 --> 00:05:42,650
343
+ ุซู„ุงุซุฉุŸ ู†ุนู…ุŒ ู‡ุฐู‡ ุงู„ุณู„ุณู„ุฉ ุงู„ุฃูุถู„ ู„ู„ุณู„ุณู„ุฉ ููŠ ู‡ุฐุง
344
+
345
+ 87
346
+ 00:05:42,650 --> 00:05:45,890
347
+ ุงู„ููŠุฏูŠูˆ. ู‡ู†ุงูƒ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
348
+
349
+ 88
350
+ 00:05:45,890 --> 00:05:47,010
351
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
352
+
353
+ 89
354
+ 00:05:47,010 --> 00:05:50,110
355
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
356
+
357
+ 90
358
+ 00:05:50,110 --> 00:05:50,130
359
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
360
+
361
+ 91
362
+ 00:06:07,500 --> 00:06:10,980
363
+ Now let's consider what is or what are the parts
364
+
365
+ 92
366
+ 00:06:10,980 --> 00:06:14,000
367
+ of a topic sentence.Generally we have to think of
368
+
369
+ 93
370
+ 00:06:14,000 --> 00:06:17,040
371
+ oh there are two parts for a very good topic
372
+
373
+ 94
374
+ 00:06:17,040 --> 00:06:20,040
375
+ sentence.A topic sentence must have two things,
376
+
377
+ 95
378
+ 00:06:20,240 --> 00:06:23,300
379
+ the topic and the topic.That's a brilliant idea,
380
+
381
+ 96
382
+ 00:06:23,400 --> 00:06:26,560
383
+ very nice. So what is the topic? Basically the
384
+
385
+ 97
386
+ 00:06:26,560 --> 00:06:29,920
387
+ subject of your paragraph.It is what you
388
+
389
+ 98
390
+ 00:06:29,920 --> 00:06:32,960
391
+ paragraph, what you are writing about. Okay? So
392
+
393
+ 99
394
+ 00:06:32,960 --> 00:06:36,640
395
+ for example, bread is an important part of our
396
+
397
+ 100
398
+ 00:06:36,640 --> 00:06:40,240
399
+ everyday life. What is the topic? Bread. So this
400
+
401
+ 101
402
+ 00:06:40,240 --> 00:06:42,080
403
+ is what I'm going to write about. It's about
404
+
405
+ 102
406
+ 00:06:42,080 --> 00:06:45,020
407
+ bread, not about vegetables or about pollution or
408
+
409
+ 103
410
+ 00:06:45,020 --> 00:06:47,420
411
+ anything like that. And the same thing. Boleros
412
+
413
+ 104
414
+ 00:06:47,420 --> 00:06:51,760
415
+ are good for you. The topic is potatoes, not
416
+
417
+ 105
418
+ 00:06:51,760 --> 00:06:55,280
419
+ anything else. The hamburger is a popular food in
420
+
421
+ 106
422
+ 00:06:55,280 --> 00:06:59,850
423
+ the United States.it's the ham burger and finally
424
+
425
+ 107
426
+ 00:06:59,850 --> 00:07:02,710
427
+ rice is a nutritious part of our diet again the
428
+
429
+ 108
430
+ 00:07:02,710 --> 00:07:06,030
431
+ topic is rice I'm not going to talk about another
432
+
433
+ 109
434
+ 00:07:06,030 --> 00:07:09,990
435
+ subject it's about rice and rice only so the first
436
+
437
+ 110
438
+ 00:07:09,990 --> 00:07:12,830
439
+ part of a good topic sentence is that it must have
440
+
441
+ 111
442
+ 00:07:12,830 --> 00:07:16,630
443
+ a topic all right all right what is the
444
+
445
+ 112
446
+ 00:07:16,630 --> 00:07:18,850
447
+ controlling idea the controlling idea is the
448
+
449
+ 113
450
+ 00:07:18,850 --> 00:07:22,290
451
+ second part of a good topic sentence what is it
452
+
453
+ 114
454
+ 00:07:22,290 --> 00:07:27,170
455
+ it's basically what limits or controls your topic
456
+
457
+ 115
458
+ 00:07:27,350 --> 00:07:31,330
459
+ OkayุŸ So what specifies your topicุŸ For example a
460
+
461
+ 116
462
+ 00:07:31,330 --> 00:07:35,910
463
+ topic on rice for example I cannot talk about all
464
+
465
+ 117
466
+ 00:07:35,910 --> 00:07:41,530
467
+ the things, all the issues in rice So basically it
468
+
469
+ 118
470
+ 00:07:41,530 --> 00:07:44,790
471
+ is what you want to specifically write about, this
472
+
473
+ 119
474
+ 00:07:44,790 --> 00:07:47,310
475
+ is your controlling idea, what you in particular
476
+
477
+ 120
478
+ 00:07:47,310 --> 00:07:50,990
479
+ want to write about in relation to yourand this is
480
+
481
+ 121
482
+ 00:07:50,990 --> 00:07:54,610
483
+ what we call a controlling idea so basically it
484
+
485
+ 122
486
+ 00:07:54,610 --> 00:07:58,190
487
+ limits or controls your topic okay because you
488
+
489
+ 123
490
+ 00:07:58,190 --> 00:08:00,770
491
+ cannot talk about everything so you have to have
492
+
493
+ 124
494
+ 00:08:00,770 --> 00:08:04,070
495
+ some direction you have to have some idea or
496
+
497
+ 125
498
+ 00:08:04,070 --> 00:08:07,050
499
+ aspect or thing that you want to specifically
500
+
501
+ 126
502
+ 00:08:07,050 --> 00:08:11,090
503
+ write about for example let's see a topic like
504
+
505
+ 127
506
+ 00:08:11,090 --> 00:08:15,830
507
+ rice alrightู…ุงุฐุง ุชุฑูŠุฏ ุฃู† ุชูƒุชุจ ููŠ ู…ูˆุถูˆุน ู…ุซู„ ุงู„ุจูŠุถุฉ
508
+
509
+ 128
510
+ 00:08:15,830 --> 00:08:19,430
511
+ ููŠ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุฏุนู†ุง ู†ุฑู‰ ุจุฃู†
512
+
513
+ 129
514
+ 00:08:19,430 --> 00:08:24,130
515
+ ุงู„ุจูŠุถุฉ ุชู„ู‚ู‰ ุฌุฒุก ู…ู‡ู… ููŠ ุจุนุถ ุงู„ู…ูˆู‚ุนุงุช ุงู„ุซู‚ุงููŠุฉุŒ ู…ุงุฐุง
516
+
517
+ 130
518
+ 00:08:24,130 --> 00:08:28,150
519
+ ุชู„ุงุญุธ ู‡ู†ุง ู‡ูˆ ุฃู† ุงู„ู…ูˆุถูˆุน ู‡ูˆ ุงู„ุจูŠุถุฉุŒ ู…ุงุฐุง ุจุงู„ุถุจุท
520
+
521
+ 131
522
+ 00:08:28,150 --> 00:08:34,030
523
+ ุณุฃุชูƒู„ู… ุนู†ู‡ุŸ ูƒูŠู ู‡ูˆ ุฃูˆ ูƒูŠู ูŠู„ู‚ู‰ ุฌุฒุก ู…ู‡ู… ููŠ ุงู„ู…ูˆู‚ุนุงุช
524
+
525
+ 132
526
+ 00:08:34,030 --> 00:08:38,950
527
+ ุงู„ุซู‚ุงููŠุฉุŸ ุชุฑู‰ ุงู„ููŠุฏูŠูˆ ุงู„ุซุงู†ูŠุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุจูŠุถุฉ ู‡ูŠ
528
+
529
+ 133
530
+ 00:08:38,950 --> 00:08:46,260
531
+ ุฌุฒุก ู…ู†ุงุณุจ ู„ู†ุงู…ุงุฐุง ู‡ูˆ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ู…ุฌุฒุฑุฉ ุทุนุงู…ูŠุฉ.
532
+
533
+ 134
534
+ 00:08:46,280 --> 00:08:51,300
535
+ ุงู„ุญู…ุถุงู†ุฉ ุฌูŠุฏุฉ ุฌุฏุง ู„ูƒ ูˆ ู„ู„ู†ุงุณ. ุงู„ุญู…ุถุงู†ุฉ ุฏุงุฆู…ุง ุฌูŠุฏุฉ
536
+
537
+ 135
538
+ 00:08:51,300 --> 00:08:55,840
539
+ ู„ูƒ. ูˆ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุญู…ุถุงู†ุฉ ุงู„ุญู…ุถุงู†ุฉ ู„ูŠุณุช ุตุญูŠุฉ ู„ูƒ. ู…ุง
540
+
541
+ 136
542
+ 00:08:55,840 --> 00:09:04,600
543
+ ู‡ูˆ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ุงู„ุญู…ุถุงู†ุฉ ู„ูŠุณุช ุตุญูŠุฉ ู„ูƒ.ู‡ูˆ ูŠุชูƒู„ู… ุนู†
544
+
545
+ 137
546
+ 00:09:04,600 --> 00:09:08,940
547
+ ู…ูˆุงุถูŠุน ุงู„ุชุญูƒู…ุŒ ู„ูŠุณ ุนู† ู‡ุฐุง ุฃูˆ ู‡ุฐุงุŒ ู„ุฐู„ูƒ ุงู„ู…ูˆุงุถูŠุน
548
+
549
+ 138
550
+ 00:09:08,940 --> 00:09:16,160
551
+ ุงู„ุชุญูƒู… ุชุชุนุงู…ู„ ู…ุน ุงู„ู…ูˆุงุถูŠุน ุงู„ูˆุญูŠุฏุฉ ุงู„ุชูŠ ุชุฑูŠุฏ ุฃู†
552
+
553
+ 139
554
+ 00:09:16,160 --> 00:09:19,660
555
+ ุชุชูƒู„ู… ุนู†ู‡ุง ููŠ ู…ูˆุงุถุนูƒุŒ ู„ุฐุง ู„ุฏูŠู†ุง ู†ูุณ ุงู„ู…ูˆุงุถุนุŒ ู„ูƒู†
556
+
557
+ 140
558
+ 00:09:19,660 --> 00:09:22,160
559
+ ููŠ ูƒู„ ู…ุฑุฉ ู„ุฏูŠู†ุง ู…ูˆุงุถุน ู…ุฎุชู„ูุฉ
560
+
561
+ 141
562
+ 00:09:28,520 --> 00:09:33,980
563
+ ู…ุงุฐุง ู‡ูˆ ุงู„ู…ูู‡ูˆู… ุงู„ุชุญูƒู…ูŠ ููŠ ุฃุณู„ูˆุจ ุงู„ุชุทุจูŠู‚ ุงู„ุชุงู„ูŠุŸ
564
+
565
+ 142
566
+ 00:09:33,980 --> 00:09:51,680
567
+ ุงูƒุชุดู
568
+
569
+ 143
570
+ 00:09:51,680 --> 00:09:54,460
571
+ ุงู„ุชุทุจูŠู‚ ูˆุงู„ู…ูู‡ูˆู… ุงู„ุชุญูƒู…ูŠLet's look at the
572
+
573
+ 144
574
+ 00:09:54,460 --> 00:09:58,920
575
+ controlling body in this short exercise. What is
576
+
577
+ 145
578
+ 00:09:58,920 --> 00:10:01,240
579
+ the controlling bodyุŸ Yes please. The brain is an
580
+
581
+ 146
582
+ 00:10:01,240 --> 00:10:06,100
583
+ important part of our diet. Very nice. So this is
584
+
585
+ 147
586
+ 00:10:06,100 --> 00:10:08,980
587
+ the controlling of your brain. It's unimportant or
588
+
589
+ 148
590
+ 00:10:08,980 --> 00:10:12,220
591
+ how bread is important in our .. as an important
592
+
593
+ 149
594
+ 00:10:12,220 --> 00:10:17,600
595
+ part of our diet. Okay. The second one. Yes please
596
+
597
+ 150
598
+ 00:10:17,600 --> 00:10:18,040
599
+ over there.
600
+
601
+ 151
602
+ 00:10:20,950 --> 00:10:24,330
603
+ All right, so what is the controlling idea? How it
604
+
605
+ 152
606
+ 00:10:24,330 --> 00:10:27,590
607
+ plays an important part in our brain. Of course
608
+
609
+ 153
610
+ 00:10:27,590 --> 00:10:31,210
611
+ all our dinner tables or our tables or meals
612
+
613
+ 154
614
+ 00:10:31,210 --> 00:10:37,570
615
+ contain some form of bread. And three. Potatoes
616
+
617
+ 155
618
+ 00:10:37,570 --> 00:10:41,870
619
+ are easy to grow. How potatoes are easy to grow.
620
+
621
+ 156
622
+ 00:10:41,950 --> 00:10:45,090
623
+ So this is what the paragraph actually discusses.
624
+
625
+ 157
626
+ 00:10:45,210 --> 00:10:51,440
627
+ How easy to grow potatoes. And number four.ุทุงุทูˆุงุช
628
+
629
+ 158
630
+ 00:10:51,440 --> 00:10:54,120
631
+ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ
632
+
633
+ 159
634
+ 00:10:54,120 --> 00:10:57,480
635
+ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ
636
+
637
+ 160
638
+ 00:10:57,480 --> 00:10:58,780
639
+ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง
640
+
641
+ 161
642
+ 00:10:58,780 --> 00:11:02,440
643
+ ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ
644
+
645
+ 162
646
+ 00:11:02,440 --> 00:11:05,720
647
+ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู…
648
+
649
+ 163
650
+ 00:11:05,720 --> 00:11:06,360
651
+ ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ
652
+
653
+ 164
654
+ 00:11:06,360 --> 00:11:08,580
655
+ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃ๏ฟฝ๏ฟฝุฑู„ุงู†ุฏุง
656
+
657
+ 165
658
+ 00:11:08,580 --> 00:11:12,260
659
+ ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑ
660
+
661
+ 166
662
+ 00:11:13,190 --> 00:11:16,070
663
+ and the popularity of French fries all over the
664
+
665
+ 167
666
+ 00:11:16,070 --> 00:11:18,570
667
+ world so this is what we mean by looking at or
668
+
669
+ 168
670
+ 00:11:18,570 --> 00:11:21,410
671
+ whenever we write a topic sentence we have this ..
672
+
673
+ 169
674
+ 00:11:21,410 --> 00:11:24,750
675
+ we have to have these two components a topic and
676
+
677
+ 170
678
+ 00:11:24,750 --> 00:11:28,450
679
+ that specific aspect that I want to write about in
680
+
681
+ 171
682
+ 00:11:28,450 --> 00:11:31,090
683
+ this topic that is to say the controlling .. the
684
+
685
+ 172
686
+ 00:11:31,090 --> 00:11:34,650
687
+ controlling idea let's just consider more examples
688
+
689
+ 173
690
+ 00:11:34,650 --> 00:11:37,810
691
+ just to make sure that the idea is clear all right
692
+
693
+ 174
694
+ 00:11:37,810 --> 00:11:41,330
695
+ decide what is the control .. what is the topicand
696
+
697
+ 175
698
+ 00:11:41,330 --> 00:11:43,670
699
+ what is the controlling idea in each one of these
700
+
701
+ 176
702
+ 00:11:43,670 --> 00:11:47,210
703
+ topic sentences? let me just write one of the most
704
+
705
+ 177
706
+ 00:11:47,210 --> 00:11:52,510
707
+ serious problems in today's public school
708
+
709
+ 178
710
+ 00:11:52,510 --> 00:11:58,920
711
+ is overcrowded classrooms what is the topic?ู‡ุฐุง
712
+
713
+ 179
714
+ 00:11:58,920 --> 00:12:04,400
715
+ ู„ูŠุณ ู…ูˆ ู…ูˆุถูˆุนุŒ ู‡ุฐุง ู…ูˆุถูˆุน ุงู„ุชุญูƒู…ุŒ ู…ุงู‡ูˆ ุงู„ู…ูˆุถูˆุนุŸ
716
+
717
+ 180
718
+ 00:12:04,400 --> 00:12:09,300
719
+ ู…ุดุงูƒู„ ุฃูˆ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„
720
+
721
+ 181
722
+ 00:12:09,300 --> 00:12:11,740
723
+ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ
724
+
725
+ 182
726
+ 00:12:11,740 --> 00:12:13,320
727
+ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ
728
+
729
+ 183
730
+ 00:12:13,320 --> 00:12:13,780
731
+ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„
732
+
733
+ 184
734
+ 00:12:13,780 --> 00:12:14,300
735
+ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู…
736
+
737
+ 185
738
+ 00:12:14,300 --> 00:12:16,720
739
+ ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ
740
+
741
+ 186
742
+ 00:12:16,720 --> 00:12:18,640
743
+ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ
744
+
745
+ 187
746
+ 00:12:18,640 --> 00:12:19,160
747
+ ู…ุดุงูƒู„ ุญ
748
+
749
+ 188
750
+ 00:12:26,380 --> 00:12:29,540
751
+ ู‡ูˆ ู„ูŠุณ ุนู† ุงู„ู…ุฏุฑุณูŠู†ุŒ ู„ูƒู† ุนู† ู‡ุฐู‡ ุงู„ููƒุฑุฉ ุงู„ุชุญูƒู…ูŠุฉุŒ
752
+
753
+ 189
754
+ 00:12:29,540 --> 00:12:30,860
755
+ ุฅู†ู‡ุง ุนู† ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
756
+
757
+ 190
758
+ 00:12:30,860 --> 00:12:31,680
759
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
760
+
761
+ 191
762
+ 00:12:31,680 --> 00:12:33,380
763
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
764
+
765
+ 192
766
+ 00:12:33,380 --> 00:12:34,160
767
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
768
+
769
+ 193
770
+ 00:12:34,160 --> 00:12:34,780
771
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
772
+
773
+ 194
774
+ 00:12:34,780 --> 00:12:38,000
775
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
776
+
777
+ 195
778
+ 00:12:38,000 --> 00:12:45,230
779
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…the low percentage of trained
780
+
781
+ 196
782
+ 00:12:45,230 --> 00:12:49,690
783
+ teachers so the controlling idea here is yes this
784
+
785
+ 197
786
+ 00:12:49,690 --> 00:12:52,910
787
+ is so the same topic but a different controlling
788
+
789
+ 198
790
+ 00:12:52,910 --> 00:12:56,910
791
+ idea the low percentage of today's or of trained
792
+
793
+ 199
794
+ 00:12:56,910 --> 00:13:01,690
795
+ teachers all right let's see these three topic
796
+
797
+ 200
798
+ 00:13:01,690 --> 00:13:06,350
799
+ sentences with different controlling idea and the
800
+
801
+ 201
802
+ 00:13:06,350 --> 00:13:12,140
803
+ same topic let's just see Egyptian thumbsู‡ูŠ ุฃุดู‡ุฑ
804
+
805
+ 202
806
+ 00:13:12,140 --> 00:13:16,360
807
+ ู„ุชุตู†ุนู‡ุงุŒ ูˆู‚ูŠู…ุฉ ุฃุฌูŠุจุณูŠุง ูุฑู…ุฒ ุงุชู‚ู„ุช ุฎู„ุงู„ ุนุงู…ูŠู† ูˆุนุดุฑ
808
+
809
+ 203
810
+ 00:13:16,360 --> 00:13:20,040
811
+ ุนุงู…ูŠู† ูˆูŠู…ูƒู† ุฃู† ุชูƒูˆู† ุฃุฌูŠุจุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ู„ุนุจุงุฑุฉ
812
+
813
+ 204
814
+ 00:13:20,040 --> 00:13:24,580
815
+ ุนู† ูƒูˆู…ูŠุฏูŠุง ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
816
+
817
+ 205
818
+ 00:13:24,580 --> 00:13:26,080
819
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
820
+
821
+ 206
822
+ 00:13:26,080 --> 00:13:27,160
823
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
824
+
825
+ 207
826
+ 00:13:27,160 --> 00:13:28,580
827
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
828
+
829
+ 208
830
+ 00:13:28,580 --> 00:13:31,650
831
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…How they are
832
+
833
+ 209
834
+ 00:13:31,650 --> 00:13:34,050
835
+ getting more expensive to produce, the second one
836
+
837
+ 210
838
+ 00:13:34,050 --> 00:13:38,550
839
+ is really about the quality has going down, has
840
+
841
+ 211
842
+ 00:13:38,550 --> 00:13:40,870
843
+ gone down and finally you have less of it or
844
+
845
+ 212
846
+ 00:13:40,870 --> 00:13:43,730
847
+ something like that So this is what I want you to
848
+
849
+ 213
850
+ 00:13:43,730 --> 00:13:46,430
851
+ understand or to keep in mind whenever you write a
852
+
853
+ 214
854
+ 00:13:46,430 --> 00:13:49,610
855
+ topic sentence, a topic and something specific,
856
+
857
+ 215
858
+ 00:13:49,750 --> 00:13:52,070
859
+ that is to say you discuss one aspect about it
860
+
861
+ 216
862
+ 00:14:00,830 --> 00:14:04,090
863
+ ู‚ุจู„ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ุชุนู„ูŠู… ู‡ู†ุงุŒ ุฏุนู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู…ู‚ุนุฏ
864
+
865
+ 217
866
+ 00:14:04,090 --> 00:14:10,030
867
+ 41ุŒ ู…ู‚ุนุฏ 41ุŒ ุฏุนู†ุง
868
+
869
+ 218
870
+ 00:14:10,030 --> 00:14:16,750
871
+ ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ุชุนู„ูŠู… ู‡ู†ุงุŒ ูˆ ุฃูˆุฏ ุฃู†ูƒ ุชุถุบุท ุฃูˆ ุชุณุฌู„
872
+
873
+ 219
874
+ 00:14:16,750 --> 00:14:22,370
875
+ ู…ูˆุถูˆุนูƒ ููŠ ุงู„ุชุนู„ูŠู… ูˆุงุญุฏุŒ ูˆ ุชุฏุฎู„ ููƒุฑุฉ ุงู„ุชุญูƒู… ููŠ ูƒู„
876
+
877
+ 220
878
+ 00:14:22,370 --> 00:14:25,350
879
+ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุตูุงุชุŒ ู†ุนู…
880
+
881
+ 221
882
+ 00:15:39,870 --> 00:15:42,950
883
+ ู…ุด ูƒุฏุง ูŠุง ุนุฒูŠุฒูŠ .. ู…ุด ูƒุฏุง
884
+
885
+ 222
886
+ 00:16:11,540 --> 00:16:15,040
887
+ All right I'm finishedุŸ All right I suppose that
888
+
889
+ 223
890
+ 00:16:15,040 --> 00:16:17,900
891
+ you prepared the class as well All right yes
892
+
893
+ 224
894
+ 00:16:17,900 --> 00:16:22,560
895
+ please the first one It's
896
+
897
+ 225
898
+ 00:16:22,560 --> 00:16:25,120
899
+ already done good roommates have four
900
+
901
+ 226
902
+ 00:16:25,120 --> 00:16:28,460
903
+ characteristics the topic is good roommates what
904
+
905
+ 227
906
+ 00:16:28,460 --> 00:16:31,460
907
+ exactly I'm going to write about is the four
908
+
909
+ 228
910
+ 00:16:31,460 --> 00:16:34,140
911
+ characteristics of good roommates the second one
912
+
913
+ 229
914
+ 00:16:34,140 --> 00:16:37,070
915
+ yes pleaseThe college students take many kinds of
916
+
917
+ 230
918
+ 00:16:37,070 --> 00:16:40,710
919
+ tests. College students is the topic. Very nice.
920
+
921
+ 231
922
+ 00:16:44,270 --> 00:16:48,330
923
+ Is the controlling idea. Very very good. Yes
924
+
925
+ 232
926
+ 00:16:48,330 --> 00:16:52,070
927
+ please. The small cars have several advantages.
928
+
929
+ 233
930
+ 00:16:52,250 --> 00:16:56,530
931
+ The small cars topic have several advantages. The
932
+
933
+ 234
934
+ 00:16:56,530 --> 00:17:00,550
935
+ advantages of the small cars is the controlling
936
+
937
+ 235
938
+ 00:17:00,550 --> 00:17:06,370
939
+ idea. Yes please.Big cars are safer than small
940
+
941
+ 236
942
+ 00:17:06,370 --> 00:17:09,290
943
+ cars for two reasons. Big cars are two different
944
+
945
+ 237
946
+ 00:17:09,290 --> 00:17:14,370
947
+ things. Very nice. They are safer than small cars
948
+
949
+ 238
950
+ 00:17:14,370 --> 00:17:16,850
951
+ for two reasons. And how they are safer. Very
952
+
953
+ 239
954
+ 00:17:16,850 --> 00:17:21,410
955
+ nice. Very nice. This is the controlling idea. Yes
956
+
957
+ 240
958
+ 00:17:21,410 --> 00:17:24,310
959
+ please. A baseball player must master several
960
+
961
+ 241
962
+ 00:17:24,310 --> 00:17:24,810
963
+ skills.
964
+
965
+ 242
966
+ 00:17:29,840 --> 00:17:33,300
967
+ Okay about mastering several skills is the
968
+
969
+ 243
970
+ 00:17:33,300 --> 00:17:37,000
971
+ controlling idea. Yes please. Living with your
972
+
973
+ 244
974
+ 00:17:37,000 --> 00:17:40,440
975
+ parents has certain advantages. Living with your
976
+
977
+ 245
978
+ 00:17:40,440 --> 00:17:45,580
979
+ parents is too big sometimes and advantages of
980
+
981
+ 246
982
+ 00:17:45,580 --> 00:17:51,660
983
+ living is actually the controlling idea. Yes
984
+
985
+ 247
986
+ 00:17:51,660 --> 00:17:55,380
987
+ please.living with your parents topic or idea has
988
+
989
+ 248
990
+ 00:17:55,380 --> 00:17:58,600
991
+ certain disadvantages for youุŸ fairness this is
992
+
993
+ 249
994
+ 00:17:58,600 --> 00:18:01,760
995
+ the controlling .. this is topic and this is the
996
+
997
+ 250
998
+ 00:18:01,760 --> 00:18:05,080
999
+ controlling idea yes please
1000
+
1001
+ 251
1002
+ 00:18:13,960 --> 00:18:17,600
1003
+ Very nice. So the topic is Olympic athletes. What
1004
+
1005
+ 252
1006
+ 00:18:17,600 --> 00:18:22,040
1007
+ we gonna talk about is talent and dedication is
1008
+
1009
+ 253
1010
+ 00:18:22,040 --> 00:18:24,640
1011
+ the controlling idea. Don't always think of the
1012
+
1013
+ 254
1014
+ 00:18:24,640 --> 00:18:26,940
1015
+ topic as coming at the first part of a sentence.
1016
+
1017
+ 255
1018
+ 00:18:27,160 --> 00:18:30,120
1019
+ Sometimes it depends on what is the topic and the
1020
+
1021
+ 256
1022
+ 00:18:30,120 --> 00:18:32,320
1023
+ controlling idea. So very nice. So Olympic
1024
+
1025
+ 257
1026
+ 00:18:32,320 --> 00:18:36,480
1027
+ athletes is the topic and the controlling idea are
1028
+
1029
+ 258
1030
+ 00:18:36,480 --> 00:18:39,260
1031
+ the two characteristics of talent and dedication
1032
+
1033
+ 259
1034
+ 00:18:39,260 --> 00:18:41,520
1035
+ for Olympic athletes. Yes please.
1036
+
1037
+ 260
1038
+ 00:18:51,750 --> 00:18:55,330
1039
+ is how .. this is what we talk about. Just imagine
1040
+
1041
+ 261
1042
+ 00:18:55,330 --> 00:18:57,790
1043
+ a controlling idea is what the paragraph talks
1044
+
1045
+ 262
1046
+ 00:18:57,790 --> 00:19:00,290
1047
+ about. All right? So this is what your controlling
1048
+
1049
+ 263
1050
+ 00:19:00,290 --> 00:19:04,710
1051
+ idea is. All right? Yes please. Tokyo has
1052
+
1053
+ 264
1054
+ 00:19:04,710 --> 00:19:09,590
1055
+ excellent public transport system. Tokyo is a
1056
+
1057
+ 265
1058
+ 00:19:09,590 --> 00:19:10,210
1059
+ public city.
1060
+
1061
+ 266
1062
+ 00:19:13,480 --> 00:19:17,320
1063
+ The excellent public transportation system is the
1064
+
1065
+ 267
1066
+ 00:19:17,320 --> 00:19:23,560
1067
+ controlling idea. Tokyo is one of the world's most
1068
+
1069
+ 268
1070
+ 00:19:23,560 --> 00:19:28,880
1071
+ expensive cities. And controlling sentence is one
1072
+
1073
+ 269
1074
+ 00:19:28,880 --> 00:19:31,840
1075
+ of the world's most expensive cities. Very very
1076
+
1077
+ 270
1078
+ 00:19:31,840 --> 00:19:34,760
1079
+ good. So this is what we mean by a controlling
1080
+
1081
+ 271
1082
+ 00:19:34,760 --> 00:19:39,580
1083
+ idea and a topic for as the two parts of a good
1084
+
1085
+ 272
1086
+ 00:19:39,580 --> 00:19:44,480
1087
+ topic sentence.let's look again at your book
1088
+
1089
+ 273
1090
+ 00:19:44,480 --> 00:19:50,880
1091
+ textbook and exercise B all right let's decide
1092
+
1093
+ 274
1094
+ 00:19:50,880 --> 00:19:54,000
1095
+ just very quickly read these paragraphs and decide
1096
+
1097
+ 275
1098
+ 00:19:54,000 --> 00:19:57,400
1099
+ what is the best topic sentence for each one of
1100
+
1101
+ 276
1102
+ 00:19:57,400 --> 00:20:00,140
1103
+ these sentences these paragraphs
1104
+
1105
+ 277
1106
+ 00:21:47,710 --> 00:21:50,530
1107
+ All right okay all right let's see the first
1108
+
1109
+ 278
1110
+ 00:21:50,530 --> 00:21:53,210
1111
+ paragraph what is the best topic sentence for this
1112
+
1113
+ 279
1114
+ 00:21:53,210 --> 00:22:00,890
1115
+ paragraph living in
1116
+
1117
+ 280
1118
+ 00:22:00,890 --> 00:22:07,010
1119
+ a foreign country has four benefits because we can
1120
+
1121
+ 281
1122
+ 00:22:07,010 --> 00:22:09,890
1123
+ see first living in a foreign country has blah
1124
+
1125
+ 282
1126
+ 00:22:09,890 --> 00:22:13,350
1127
+ blah blah second third and four let's see the
1128
+
1129
+ 283
1130
+ 00:22:13,350 --> 00:22:15,650
1131
+ second paragraph what is the best topic sentence
1132
+
1133
+ 284
1134
+ 00:22:15,650 --> 00:22:16,110
1135
+ for it
1136
+
1137
+ 285
1138
+ 00:22:19,540 --> 00:22:25,240
1139
+ it's clearly .. yes there are two main types of
1140
+
1141
+ 286
1142
+ 00:22:25,240 --> 00:22:29,760
1143
+ the colleges and universities in the united states
1144
+
1145
+ 287
1146
+ 00:22:29,760 --> 00:22:34,010
1147
+ the third onethere are several reasons for
1148
+
1149
+ 288
1150
+ 00:22:34,010 --> 00:22:36,470
1151
+ attending a small college instead of a large
1152
+
1153
+ 289
1154
+ 00:22:36,470 --> 00:22:40,650
1155
+ university is that correct? yes there are very
1156
+
1157
+ 290
1158
+ 00:22:40,650 --> 00:22:44,910
1159
+ nice there are several reasons for attending a
1160
+
1161
+ 291
1162
+ 00:22:44,910 --> 00:22:48,470
1163
+ small college instead of a large university and
1164
+
1165
+ 292
1166
+ 00:22:48,470 --> 00:22:52,090
1167
+ the last paragraph is has the best topic sentence
1168
+
1169
+ 293
1170
+ 00:22:52,090 --> 00:22:52,630
1171
+ yes please
1172
+
1173
+ 294
1174
+ 00:22:56,140 --> 00:23:00,320
1175
+ ุงู„ุนู…ู„ุงุก ูŠุจุญุซูˆู† ุนู† ู…ู‚ุงู„ุงุช ูƒุจูŠุฑุฉ ุฃูˆ ุซู„ุงุซุฉ ู…ู‚ุงู„ุงุช
1176
+
1177
+ 295
1178
+ 00:23:00,320 --> 00:23:05,000
1179
+ ูƒุจูŠุฑุฉ ููŠ ุนู…ูŠู„ู‡ู… ุญุณู†ู‹ุงุŸ ุญุณู†ู‹ุงุŒ ุฏุนู†ุง ูู‚ุท ู†ุนูˆุฏ ุฅู„ู‰
1180
+
1181
+ 296
1182
+ 00:23:05,000 --> 00:23:13,000
1183
+ ู…ู‚ุฏู…ุฉ PowerPoint ูˆู†ู†ุธุฑ ุฅู„ู‰ ูƒุชุงุจุฉ ูƒู„ู…ุงุช ุฌูŠุฏุฉ ุนุงู…ู‹ุง
1184
+
1185
+ 297
1186
+ 00:23:13,000 --> 00:23:19,730
1187
+ ูƒู„ู…ุฉ ุฌูŠุฏุฉ ุฌูŠุฏุฉ ู‡ูŠexpresses an opinion not a fact
1188
+
1189
+ 298
1190
+ 00:23:19,730 --> 00:23:22,690
1191
+ okay so let's look at the first one my Arabic
1192
+
1193
+ 299
1194
+ 00:23:22,690 --> 00:23:27,250
1195
+ teacher is the best teacher in the world why is it
1196
+
1197
+ 300
1198
+ 00:23:27,250 --> 00:23:29,790
1199
+ a good topic sentence because it has an opinion it
1200
+
1201
+ 301
1202
+ 00:23:29,790 --> 00:23:33,750
1203
+ has something to say about my Arabic teacher so
1204
+
1205
+ 302
1206
+ 00:23:33,750 --> 00:23:36,510
1207
+ this is a kind of a good topic sentence that we
1208
+
1209
+ 303
1210
+ 00:23:36,510 --> 00:23:39,430
1211
+ expect I expect you to write so it's always
1212
+
1213
+ 304
1214
+ 00:23:39,430 --> 00:23:45,090
1215
+ expressesan opinion okay you have something to say
1216
+
1217
+ 305
1218
+ 00:23:45,090 --> 00:23:48,130
1219
+ about the topic you are writing about let's see
1220
+
1221
+ 306
1222
+ 00:23:48,130 --> 00:23:51,450
1223
+ the second one when I was a child I lived in a
1224
+
1225
+ 307
1226
+ 00:23:51,450 --> 00:23:55,090
1227
+ house that had a strange atmosphere what is the
1228
+
1229
+ 308
1230
+ 00:23:55,090 --> 00:23:57,130
1231
+ controlling idea in this sentence?
1232
+
1233
+ 309
1234
+ 00:24:00,160 --> 00:24:05,720
1235
+ the house that had a strange atmosphere this is
1236
+
1237
+ 310
1238
+ 00:24:05,720 --> 00:24:08,180
1239
+ what I will talk about this is my opinion about
1240
+
1241
+ 311
1242
+ 00:24:08,180 --> 00:24:13,780
1243
+ that time when I lived in that house okay ุณูุฑ ูˆุงุญุฏ
1244
+
1245
+ 312
1246
+ 00:24:13,780 --> 00:24:17,220
1247
+ there is a restaurant in our neighborhood that has
1248
+
1249
+ 313
1250
+ 00:24:17,220 --> 00:24:22,360
1251
+ the best pizza in townWhat is the controlling idea
1252
+
1253
+ 314
1254
+ 00:24:22,360 --> 00:24:27,660
1255
+ here? The restaurant that has the best pizza. The
1256
+
1257
+ 315
1258
+ 00:24:27,660 --> 00:24:30,080
1259
+ best pizza is the controlling idea. How this
1260
+
1261
+ 316
1262
+ 00:24:30,080 --> 00:24:33,400
1263
+ restaurant has the best pizza in our town. And
1264
+
1265
+ 317
1266
+ 00:24:33,400 --> 00:24:36,800
1267
+ potatoes are good for you. What is the controlling
1268
+
1269
+ 318
1270
+ 00:24:36,800 --> 00:24:41,780
1271
+ idea? They are good for you. So generally it is
1272
+
1273
+ 319
1274
+ 00:24:41,780 --> 00:24:44,580
1275
+ always good to write good topic sentences which
1276
+
1277
+ 320
1278
+ 00:24:44,580 --> 00:24:50,360
1279
+ haveุงู„ุจู†ูŠู† which have something to say about the
1280
+
1281
+ 321
1282
+ 00:24:50,360 --> 00:24:53,640
1283
+ topic whereas these ones are not really good topic
1284
+
1285
+ 322
1286
+ 00:24:53,640 --> 00:24:55,680
1287
+ sentences they are actually bad topic sentences
1288
+
1289
+ 323
1290
+ 00:24:55,680 --> 00:25:01,160
1291
+ because they either express too specific a fact or
1292
+
1293
+ 324
1294
+ 00:25:01,160 --> 00:25:05,140
1295
+ too general facts okay for example when I say I
1296
+
1297
+ 325
1298
+ 00:25:05,140 --> 00:25:10,800
1299
+ went to Australia in the spring of 2005it's not a
1300
+
1301
+ 326
1302
+ 00:25:10,800 --> 00:25:13,920
1303
+ good topic sentence why? it's too specific alright
1304
+
1305
+ 327
1306
+ 00:25:13,920 --> 00:25:17,960
1307
+ there isn't much that I can say about this and the
1308
+
1309
+ 328
1310
+ 00:25:17,960 --> 00:25:21,760
1311
+ same thing my friend is nice again it's too
1312
+
1313
+ 329
1314
+ 00:25:21,760 --> 00:25:25,280
1315
+ general alrightI can talk about so many things in
1316
+
1317
+ 330
1318
+ 00:25:25,280 --> 00:25:28,880
1319
+ it so the word nice is too general a word to be
1320
+
1321
+ 331
1322
+ 00:25:28,880 --> 00:25:33,800
1323
+ discussed in one paragraph for instance and the
1324
+
1325
+ 332
1326
+ 00:25:33,800 --> 00:25:37,440
1327
+ same thing I have a bedroom there isn't much that
1328
+
1329
+ 333
1330
+ 00:25:37,440 --> 00:25:40,460
1331
+ I can say about it there's too many things it's
1332
+
1333
+ 334
1334
+ 00:25:40,460 --> 00:25:44,020
1335
+ too general and again it's a fact all right so
1336
+
1337
+ 335
1338
+ 00:25:44,020 --> 00:25:46,440
1339
+ there isn't much that I can say about this and the
1340
+
1341
+ 336
1342
+ 00:25:46,440 --> 00:25:51,500
1343
+ same thingThe potato is a vegetable. So again this
1344
+
1345
+ 337
1346
+ 00:25:51,500 --> 00:25:54,820
1347
+ is a fact, a specific fact that isn't much that I
1348
+
1349
+ 338
1350
+ 00:25:54,820 --> 00:25:58,620
1351
+ can talk about. So whenever you write a topic
1352
+
1353
+ 339
1354
+ 00:25:58,620 --> 00:26:01,680
1355
+ sentence think about an opinion, something to say
1356
+
1357
+ 340
1358
+ 00:26:01,680 --> 00:26:07,700
1359
+ or something to tell the reader about.Now let's
1360
+
1361
+ 341
1362
+ 00:26:07,700 --> 00:26:11,840
1363
+ get into practicing topic sentences, writing topic
1364
+
1365
+ 342
1366
+ 00:26:11,840 --> 00:26:18,180
1367
+ sentences and it's new textbook page 42 exercise C
1368
+
1369
+ 343
1370
+ 00:26:18,180 --> 00:26:22,080
1371
+ Let's look at the first paragraph and try to read
1372
+
1373
+ 344
1374
+ 00:26:22,080 --> 00:26:25,200
1375
+ it quickly and write a good topic sentence for
1376
+
1377
+ 345
1378
+ 00:26:25,200 --> 00:26:26,740
1379
+ this paragraph
1380
+
1381
+ 346
1382
+ 00:26:35,970 --> 00:26:39,290
1383
+ ู…ู…ูƒู† ุงุทู„ุจ ู…ู†ูƒู… ุงู† ุชูƒุชุจูˆุง ุงู„ู…ู‚ุงู„ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰
1384
+
1385
+ 347
1386
+ 00:26:39,290 --> 00:26:39,890
1387
+ ุงู„ูƒุชุงุจุฉ ู‡ู†ุง
1388
+
1389
+ 348
1390
+ 00:27:46,670 --> 00:27:49,610
1391
+ ู…ุด ู…ู…ูƒู† ุฃุดูˆู
1392
+
1393
+ 349
1394
+ 00:28:14,860 --> 00:28:20,440
1395
+ who finished writing the topic sentences? yes
1396
+
1397
+ 350
1398
+ 00:28:20,440 --> 00:28:24,740
1399
+ please can you come forward please? who else? yes
1400
+
1401
+ 351
1402
+ 00:28:24,740 --> 00:28:33,080
1403
+ please let me see some
1404
+
1405
+ 352
1406
+ 00:28:33,080 --> 00:28:36,160
1407
+ examples of your writing please come forward
1408
+
1409
+ 353
1410
+ 00:28:55,090 --> 00:28:57,810
1411
+ just double check in the meantime double check on
1412
+
1413
+ 354
1414
+ 00:28:57,810 --> 00:29:01,150
1415
+ your first topic sentence check if it has a topic
1416
+
1417
+ 355
1418
+ 00:29:01,150 --> 00:29:05,590
1419
+ and a controlling idea is this a clear topic is
1420
+
1421
+ 356
1422
+ 00:29:05,590 --> 00:29:08,910
1423
+ there a clear topic and clear topic controlling
1424
+
1425
+ 357
1426
+ 00:29:08,910 --> 00:29:13,790
1427
+ idea thank
1428
+
1429
+ 358
1430
+ 00:29:13,790 --> 00:29:18,510
1431
+ you all right thank you thank you okay let's see
1432
+
1433
+ 359
1434
+ 00:29:18,510 --> 00:29:22,900
1435
+ all rightCurry ู„ุฏูŠู‡ ุซู„ุงุซ ุฃู„ูˆุงู† ุชุธู‡ุฑ ู„ุฌู…ุงุนุงุช
1436
+
1437
+ 360
1438
+ 00:29:22,900 --> 00:29:28,340
1439
+ ู…ุฎุชู„ูุฉุŒ ุญุณู†ุงุŸ ู…ุงุฐุง ุชุนุชู‚ุฏุŸ ู…ุงู‡ูˆ ุงู„ู…ูˆุถูˆุนุŸ ูƒูˆุฑูŠุŒ
1440
+
1441
+ 361
1442
+ 00:29:28,340 --> 00:29:33,300
1443
+ ุญุณู†ุงุŸ ุชุนุฑููŠู† ูƒูˆุฑูŠุŒ ุญุณู†ุงุŸ ุฅู†ู‡ ุทุนุงู… ุฌูŠุฏ ุฌุฏู‹ุง ูŠุฃุชูŠ ู…ุน
1444
+
1445
+ 362
1446
+ 00:29:33,300 --> 00:29:38,780
1447
+ ุทุนุงู… ู…ุฎุชู„ูุŒ ู„ุฏูŠู‡ ุซู„ุงุซ ุฃู„ูˆุงู† ุชุธู‡ุฑ ู„ุฌู…ุงุนุงุช ู…ุฎุชู„ูุฉุŒ
1448
+
1449
+ 363
1450
+ 00:29:38,780 --> 00:29:44,320
1451
+ ู‡ู„ ู‡ุฐุง ู…ูˆุถูˆุน ุฌูŠุฏ ุฃุญูŠุงู†ู‹ุงุŸbecause it talks about
1452
+
1453
+ 364
1454
+ 00:29:44,320 --> 00:29:49,560
1455
+ the three colors green yellow and three red green
1456
+
1457
+ 365
1458
+ 00:29:49,560 --> 00:29:53,840
1459
+ red and yellow curry with different taste all
1460
+
1461
+ 366
1462
+ 00:29:53,840 --> 00:29:56,180
1463
+ right very nice very nice let's see the second one
1464
+
1465
+ 367
1466
+ 00:29:56,180 --> 00:30:01,040
1467
+ curry has three colors that appeal to people's
1468
+
1469
+ 368
1470
+ 00:30:01,040 --> 00:30:06,160
1471
+ taste very nice but when you just to up up check
1472
+
1473
+ 369
1474
+ 00:30:06,160 --> 00:30:09,640
1475
+ that there is subject there agreement for instance
1476
+
1477
+ 370
1478
+ 00:30:09,640 --> 00:30:12,800
1479
+ curry has three colors that appeal not appeals
1480
+
1481
+ 371
1482
+ 00:30:25,230 --> 00:30:28,970
1483
+ all right there are any comment here again there
1484
+
1485
+ 372
1486
+ 00:30:28,970 --> 00:30:33,850
1487
+ are three types of the carry all right what was
1488
+
1489
+ 373
1490
+ 00:30:33,850 --> 00:30:38,010
1491
+ your what was your topic sentence yes can you just
1492
+
1493
+ 374
1494
+ 00:30:38,010 --> 00:30:39,970
1495
+ quickly read it for us please there are three
1496
+
1497
+ 375
1498
+ 00:30:39,970 --> 00:30:42,710
1499
+ known types of carry very nice there are three
1500
+
1501
+ 376
1502
+ 00:30:42,710 --> 00:30:47,270
1503
+ known types of carry what was your topic sentence
1504
+
1505
+ 377
1506
+ 00:30:47,270 --> 00:30:55,690
1507
+ carry has three types of carrywe can just write it
1508
+
1509
+ 378
1510
+ 00:30:55,690 --> 00:31:00,530
1511
+ here carry tons
1512
+
1513
+ 379
1514
+ 00:31:00,530 --> 00:31:08,670
1515
+ in three different colors
1516
+
1517
+ 380
1518
+ 00:31:08,670 --> 00:31:16,310
1519
+ or types depending on what you say that appeal to
1520
+
1521
+ 381
1522
+ 00:31:16,310 --> 00:31:21,870
1523
+ different tastes
1524
+
1525
+ 382
1526
+ 00:31:21,870 --> 00:31:23,890
1527
+ okay
1528
+
1529
+ 383
1530
+ 00:31:25,050 --> 00:31:29,410
1531
+ this book is the second paragraph in your textbook
1532
+
1533
+ 384
1534
+ 00:31:29,410 --> 00:31:33,670
1535
+ and try to write a topic sentence for it
1536
+
1537
+ 385
1538
+ 00:32:03,290 --> 00:32:03,870
1539
+ ุงู„ุนุฒูŠุฒูŠ
1540
+
1541
+ 386
1542
+ 00:33:04,520 --> 00:33:07,680
1543
+ All right. Who would like to write the topic
1544
+
1545
+ 387
1546
+ 00:33:07,680 --> 00:33:09,620
1547
+ sentence on the board? Yes please.
1548
+
1549
+ 388
1550
+ 00:33:12,560 --> 00:33:16,880
1551
+ And you too please very quickly. And yes Imam.
1552
+
1553
+ 389
1554
+ 00:34:04,880 --> 00:34:07,780
1555
+ very nice very nice let's just look at these three
1556
+
1557
+ 390
1558
+ 00:34:07,780 --> 00:34:11,880
1559
+ topic sentences there are many qualities should be
1560
+
1561
+ 391
1562
+ 00:34:11,880 --> 00:34:14,600
1563
+ in a good teacher do you have any comment? very
1564
+
1565
+ 392
1566
+ 00:34:14,600 --> 00:34:18,240
1567
+ nice do you have any comment? sorry there are many
1568
+
1569
+ 393
1570
+ 00:34:18,240 --> 00:34:22,900
1571
+ qualities ุจุณ we just need to add that we need a
1572
+
1573
+ 394
1574
+ 00:34:22,900 --> 00:34:28,570
1575
+ that close here that should beูˆ ู‡ุฐุง ูŠุฌุจ ุงู† ูŠูƒูˆู† ููŠ
1576
+
1577
+ 395
1578
+ 00:34:28,570 --> 00:34:33,830
1579
+ ุงูˆุถุฉ ุชุดูŠุฑ ุฌูŠุฏุฉ ุงูˆู„ุง ุฏุนูˆู†ุง ู†ุฑู‰ ุงู„ุซุงู†ูŠ ูˆู„ูƒู† ู‡ุฐุง ุงูˆุถุฉ
1580
+
1581
+ 396
1582
+ 00:34:33,830 --> 00:34:37,890
1583
+ ุฌูŠุฏุฉ ู„ุงู† ู…ูˆุถูˆุนู‡ุง ุงูˆุถุฉ ุฌูŠุฏุฉ ูˆุชุดูŠุฑ ุฌูŠุฏุฉ ูˆู…ูู‡ูˆู…ุฉ ู‡ูŠ
1584
+
1585
+ 397
1586
+ 00:34:37,890 --> 00:34:39,730
1587
+ ู…ุงู„ูŠ ูƒูˆุงู„ูŠุชูŠุฒ
1588
+
1589
+ 398
1590
+ 00:34:42,320 --> 00:34:47,420
1591
+ three three yes three words should be specific all
1592
+
1593
+ 399
1594
+ 00:34:47,420 --> 00:34:50,380
1595
+ right three qualities that should be in a good
1596
+
1597
+ 400
1598
+ 00:34:50,380 --> 00:34:53,300
1599
+ teacher the second one there are three important
1600
+
1601
+ 401
1602
+ 00:34:53,300 --> 00:34:56,460
1603
+ qualities that a good teacher should have is that
1604
+
1605
+ 402
1606
+ 00:34:56,460 --> 00:35:00,200
1607
+ right yes very nice very nicely written there are
1608
+
1609
+ 403
1610
+ 00:35:00,200 --> 00:35:03,440
1611
+ three qualities a good teacher must have is a very
1612
+
1613
+ 404
1614
+ 00:35:03,440 --> 00:35:07,820
1615
+ good topic sentence as well we can also write my
1616
+
1617
+ 405
1618
+ 00:35:07,820 --> 00:35:10,940
1619
+ own what about you what is your topic sentence
1620
+
1621
+ 406
1622
+ 00:35:13,930 --> 00:35:17,330
1623
+ excellent a good teacher must have three important
1624
+
1625
+ 407
1626
+ 00:35:17,330 --> 00:35:20,050
1627
+ or excellent qualities very nice what is your
1628
+
1629
+ 408
1630
+ 00:35:20,050 --> 00:35:25,870
1631
+ topic?must have or requires the three important
1632
+
1633
+ 409
1634
+ 00:35:25,870 --> 00:35:29,390
1635
+ qualities very nice being a good teacher requires
1636
+
1637
+ 410
1638
+ 00:35:29,390 --> 00:35:32,930
1639
+ the three important qualities characteristics for
1640
+
1641
+ 411
1642
+ 00:35:32,930 --> 00:35:35,470
1643
+ a good teacher very nice there are three good
1644
+
1645
+ 412
1646
+ 00:35:35,470 --> 00:35:38,790
1647
+ characteristics for a good teacher alright
1648
+
1649
+ 413
1650
+ 00:35:38,790 --> 00:35:42,390
1651
+ actually I was going to write this one as well a
1652
+
1653
+ 414
1654
+ 00:35:42,390 --> 00:35:47,130
1655
+ good teacher a good teacher requires
1656
+
1657
+ 415
1658
+ 00:35:54,290 --> 00:36:02,490
1659
+ having three essential qualities
1660
+
1661
+ 416
1662
+ 00:36:02,490 --> 00:36:07,630
1663
+ all rightุŸ so we have this topic and the
1664
+
1665
+ 417
1666
+ 00:36:07,630 --> 00:36:12,570
1667
+ controlling idea is the three inequalities a good
1668
+
1669
+ 418
1670
+ 00:36:12,570 --> 00:36:16,140
1671
+ teacher must haveู let's look at the third again
1672
+
1673
+ 419
1674
+ 00:36:16,140 --> 00:36:22,140
1675
+ the third paragraph and write down the controlling
1676
+
1677
+ 420
1678
+ 00:36:22,140 --> 00:36:24,740
1679
+ the public sentence for it
1680
+
1681
+ 421
1682
+ 00:37:03,090 --> 00:37:03,790
1683
+ ุฅู†ู‡ ุฌู…ูŠู„
1684
+
1685
+ 422
1686
+ 00:38:06,000 --> 00:38:10,480
1687
+ ุฃูˆู„ุงุฏุŸ ุชูƒุณูŠุŸ ู†ุนู… ู…ู…ูƒู† ุชู‚ูˆู„ูŠ ู…ุตุทู„ุญูƒุŸ ู„ุฃู† ุงู„ูˆู‚ุช ู‚ุงุฏุฑ
1688
+
1689
+ 423
1690
+ 00:38:10,480 --> 00:38:13,620
1691
+ ุนู„ู‰ ุงู„ุงู†ุชู‡ุงุก ู‡ู†ุงูƒ ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู‡ู†ุงูƒ ุซู„ุงุซ
1692
+
1693
+ 424
1694
+ 00:38:13,620 --> 00:38:20,740
1695
+ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ
1696
+
1697
+ 425
1698
+ 00:38:20,740 --> 00:38:25,440
1699
+ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน
1700
+
1701
+ 426
1702
+ 00:38:25,440 --> 00:38:27,480
1703
+ ู…ู† ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู†
1704
+
1705
+ 427
1706
+ 00:38:27,480 --> 00:38:28,860
1707
+ ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจ
1708
+
1709
+ 428
1710
+ 00:38:28,860 --> 00:38:33,370
1711
+ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจOkay
1712
+
1713
+ 429
1714
+ 00:38:33,370 --> 00:38:37,730
1715
+ shoppers come into three important categories or
1716
+
1717
+ 430
1718
+ 00:38:37,730 --> 00:38:40,450
1719
+ three important types very nice yes please
1720
+
1721
+ 431
1722
+ 00:38:40,450 --> 00:38:43,990
1723
+ shoppers can be divided into three types very nice
1724
+
1725
+ 432
1726
+ 00:38:43,990 --> 00:38:48,050
1727
+ shoppers can be divided into three types here you
1728
+
1729
+ 433
1730
+ 00:38:48,050 --> 00:38:52,110
1731
+ can say shoppers very nice very nice very good
1732
+
1733
+ 434
1734
+ 00:38:52,110 --> 00:38:59,430
1735
+ ideas topic sentences whole into three both
1736
+
1737
+ 435
1738
+ 00:39:00,590 --> 00:39:03,670
1739
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1740
+
1741
+ 436
1742
+ 00:39:03,670 --> 00:39:06,710
1743
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1744
+
1745
+ 437
1746
+ 00:39:06,710 --> 00:39:10,150
1747
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1748
+
1749
+ 438
1750
+ 00:39:10,150 --> 00:39:13,110
1751
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1752
+
1753
+ 439
1754
+ 00:39:13,110 --> 00:39:14,470
1755
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1756
+
1757
+ 440
1758
+ 00:39:14,470 --> 00:39:26,390
1759
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1760
+
1761
+ 441
1762
+ 00:39:30,190 --> 00:39:34,090
1763
+ of these topics and write a topic sentence for
1764
+
1765
+ 442
1766
+ 00:39:34,090 --> 00:39:39,070
1767
+ each of these two choose two out of these five and
1768
+
1769
+ 443
1770
+ 00:39:39,070 --> 00:39:44,270
1771
+ write a topic sentence for each okay reading in a
1772
+
1773
+ 444
1774
+ 00:39:44,270 --> 00:39:50,070
1775
+ foreign language facebook university tests a job
1776
+
1777
+ 445
1778
+ 00:39:50,070 --> 00:39:54,770
1779
+ interview and the last one is divorce so choose
1780
+
1781
+ 446
1782
+ 00:39:54,770 --> 00:39:57,830
1783
+ any two of these five and write a topic sentence
1784
+
1785
+ 447
1786
+ 00:39:57,830 --> 00:39:58,550
1787
+ for each
1788
+
1789
+ 448
1790
+ 00:40:02,900 --> 00:40:05,100
1791
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1792
+
1793
+ 449
1794
+ 00:40:55,350 --> 00:41:00,020
1795
+ chose two pieces of pipetopics and write a topic
1796
+
1797
+ 450
1798
+ 00:41:00,020 --> 00:41:04,560
1799
+ sentence for each check on your subject verb
1800
+
1801
+ 451
1802
+ 00:41:04,560 --> 00:41:08,700
1803
+ agreement, check on your punctuation, full stop,
1804
+
1805
+ 452
1806
+ 00:41:08,840 --> 00:41:13,680
1807
+ capital letters and also your topic sentence must
1808
+
1809
+ 453
1810
+ 00:41:13,680 --> 00:41:18,760
1811
+ have a topic and a clear controlling idea and this
1812
+
1813
+ 454
1814
+ 00:41:18,760 --> 00:41:21,440
1815
+ controlling idea should be generally an opinion
1816
+
1817
+ 455
1818
+ 00:41:21,440 --> 00:41:25,060
1819
+ not a specific or a very general fact
1820
+
1821
+ 456
1822
+ 00:41:32,890 --> 00:41:38,510
1823
+ ู…ุงุฐุง ู†ูุนู„ุŸ ู†ู‚ูˆู… ุจุงุณุชุฎุฏุงู… ุงู„ู€
1824
+
1825
+ 457
1826
+ 00:41:50,930 --> 00:41:53,110
1827
+ All right who finished .. just keep on writing ..
1828
+
1829
+ 458
1830
+ 00:41:53,110 --> 00:41:56,190
1831
+ who finished the first .. choose anyone .. who
1832
+
1833
+ 459
1834
+ 00:41:56,190 --> 00:41:58,690
1835
+ finished writing the first topic sentence .. yes
1836
+
1837
+ 460
1838
+ 00:41:58,690 --> 00:42:01,030
1839
+ please .. can you come forward .. please .. yes
1840
+
1841
+ 461
1842
+ 00:42:01,030 --> 00:42:04,930
1843
+ please .. all right .. who finished the second or
1844
+
1845
+ 462
1846
+ 00:42:04,930 --> 00:42:07,910
1847
+ another topic sentence .. ah please come forward
1848
+
1849
+ 463
1850
+ 00:42:07,910 --> 00:42:12,130
1851
+ ..
1852
+
1853
+ 464
1854
+ 00:42:12,130 --> 00:42:15,050
1855
+ all right .. who would like to volunteer to come
1856
+
1857
+ 465
1858
+ 00:42:15,050 --> 00:42:19,170
1859
+ here and write the topic sentence .. yes please ..
1860
+
1861
+ 466
1862
+ 00:42:19,870 --> 00:42:25,250
1863
+ yes please come forward all
1864
+
1865
+ 467
1866
+ 00:42:25,250 --> 00:42:28,330
1867
+ right now have you finished writing your topic
1868
+
1869
+ 468
1870
+ 00:42:28,330 --> 00:42:31,090
1871
+ sentences? yes all right what I'd like you is to
1872
+
1873
+ 469
1874
+ 00:42:31,090 --> 00:42:35,910
1875
+ exchange your writing your topic sentences with
1876
+
1877
+ 470
1878
+ 00:42:35,910 --> 00:42:38,410
1879
+ the person with your classmate sitting next to you
1880
+
1881
+ 471
1882
+ 00:42:38,410 --> 00:42:43,410
1883
+ next to you all rightExchange your writings with
1884
+
1885
+ 472
1886
+ 00:42:43,410 --> 00:42:55,270
1887
+ the person sitting next to you and try
1888
+
1889
+ 473
1890
+ 00:42:55,270 --> 00:43:01,690
1891
+ to ..read her topic sentences and check for topic
1892
+
1893
+ 474
1894
+ 00:43:01,690 --> 00:43:05,090
1895
+ and controlling idea and check for other things
1896
+
1897
+ 475
1898
+ 00:43:05,090 --> 00:43:08,450
1899
+ like punctuation, capitalization, subject verb
1900
+
1901
+ 476
1902
+ 00:43:08,450 --> 00:43:09,850
1903
+ agreement and other things
1904
+
1905
+ 477
1906
+ 00:43:52,600 --> 00:44:02,730
1907
+ All right, fineูˆ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ูƒู„ู…ุชูƒ ูˆ ุงุชุดูŠูƒ
1908
+
1909
+ 478
1910
+ 00:44:02,730 --> 00:44:11,070
1911
+ ู„ู„ู…ูˆุถูˆุน ูˆ ุงู„ู…ูู‡ูˆู… ูˆ ุงุฐุง ูƒุงู†ุช ุงู„ุฃููƒุงุฑ ุตุญูŠุญุฉ ูˆ ุตุญูŠุญุฉ
1912
+
1913
+ 479
1914
+ 00:44:11,070 --> 00:44:15,790
1915
+ ุฌุฏุง ุฏุนูˆู†ุง ู†ู‚ุฑุฃ ุฃูˆู„ุง ูˆ ุฅุฐุง ูƒุงู† ู„ุฏูŠูƒ ุฃูŠ ุชุนู„ูŠู‚ ูุฏุนูˆู†ุง
1916
+
1917
+ 480
1918
+ 00:44:15,790 --> 00:44:21,410
1919
+ ู†ุนุฑู ุนู†ู‡ ู‡ู†ุงูƒ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุตุนูˆุจุงุช ุงู„ุชูŠ ูŠุฌุจ ุฃู† ูŠุชุนู„ู…
1920
+
1921
+ 481
1922
+ 00:44:21,410 --> 00:44:22,670
1923
+ ุงู„ุทู„ุงุจ ููŠ ู„ุบุฉ ุบูŠุฑ ุฃู…ุฑูŠูƒูŠุฉ
1924
+
1925
+ 482
1926
+ 00:44:28,100 --> 00:44:31,180
1927
+ or learning or reading how to read to read not
1928
+
1929
+ 483
1930
+ 00:44:31,180 --> 00:44:34,500
1931
+ teach all right to teach to read in a foreign
1932
+
1933
+ 484
1934
+ 00:44:34,500 --> 00:44:36,660
1935
+ language this is the topic what is the controlling
1936
+
1937
+ 485
1938
+ 00:44:36,660 --> 00:44:41,220
1939
+ idea is there a clear controlling idea here yes
1940
+
1941
+ 486
1942
+ 00:44:41,220 --> 00:44:43,760
1943
+ the difficulties there are many difficulties in
1944
+
1945
+ 487
1946
+ 00:44:43,760 --> 00:44:47,200
1947
+ reading or to read in a foreign language very nice
1948
+
1949
+ 488
1950
+ 00:44:47,200 --> 00:44:50,960
1951
+ but we can just double check difficulties okay
1952
+
1953
+ 489
1954
+ 00:44:50,960 --> 00:44:56,780
1955
+ that the studentI told you about subject-verb
1956
+
1957
+ 490
1958
+ 00:44:56,780 --> 00:45:03,880
1959
+ agreement the student has to in reading in reading
1960
+
1961
+ 491
1962
+ 00:45:03,880 --> 00:45:08,700
1963
+ in a foreign language now this is a clear topic
1964
+
1965
+ 492
1966
+ 00:45:08,700 --> 00:45:12,600
1967
+ sentence very good on you divorce that turns up an
1968
+
1969
+ 493
1970
+ 00:45:12,600 --> 00:45:16,060
1971
+ effect that follows a divorce what do you think
1972
+
1973
+ 494
1974
+ 00:45:16,060 --> 00:45:21,740
1975
+ here?is this a good topic sentenceุŸ well generally
1976
+
1977
+ 495
1978
+ 00:45:21,740 --> 00:45:24,920
1979
+ it is okay but is this a sentence in the first
1980
+
1981
+ 496
1982
+ 00:45:24,920 --> 00:45:28,680
1983
+ placeุŸ is this a sentenceุŸ I don't think soุŒ I
1984
+
1985
+ 497
1986
+ 00:45:28,680 --> 00:45:30,420
1987
+ don't think that this is a sentenceุŒ this is more
1988
+
1989
+ 498
1990
+ 00:45:30,420 --> 00:45:34,910
1991
+ of a titlenot a clear topic sentence remember a
1992
+
1993
+ 499
1994
+ 00:45:34,910 --> 00:45:37,810
1995
+ topic sentence is a sentence in the first place
1996
+
1997
+ 500
1998
+ 00:45:37,810 --> 00:45:40,970
1999
+ that is to say it must have a subject and a verb a
2000
+
2001
+ 501
2002
+ 00:45:40,970 --> 00:45:44,230
2003
+ clear subject verb relationship so we have to
2004
+
2005
+ 502
2006
+ 00:45:44,230 --> 00:45:49,010
2007
+ rewrite it in different ways we can say divorce
2008
+
2009
+ 503
2010
+ 00:45:49,010 --> 00:46:01,820
2011
+ has or needs two serious social problems okayุงู„ุงู†
2012
+
2013
+ 504
2014
+ 00:46:01,820 --> 00:46:06,900
2015
+ ู„ุฏูŠ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2016
+
2017
+ 505
2018
+ 00:46:06,900 --> 00:46:10,340
2019
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2020
+
2021
+ 506
2022
+ 00:46:10,340 --> 00:46:11,720
2023
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2024
+
2025
+ 507
2026
+ 00:46:11,720 --> 00:46:11,900
2027
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2028
+
2029
+ 508
2030
+ 00:46:11,900 --> 00:46:12,200
2031
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2032
+
2033
+ 509
2034
+ 00:46:12,200 --> 00:46:29,880
2035
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุต
2036
+
2037
+ 510
2038
+ 00:46:30,970 --> 00:46:35,190
2039
+ is very important to clarify the stereotypes about
2040
+
2041
+ 511
2042
+ 00:46:35,190 --> 00:46:39,090
2043
+ our issues all over our issue all over the world
2044
+
2045
+ 512
2046
+ 00:46:39,090 --> 00:46:42,710
2047
+ okay is this a good topic sentence yes more or
2048
+
2049
+ 513
2050
+ 00:46:42,710 --> 00:46:45,610
2051
+ less but we just need to double check on
2052
+
2053
+ 514
2054
+ 00:46:45,610 --> 00:46:50,470
2055
+ punctuation capital letter facebook okay one word
2056
+
2057
+ 515
2058
+ 00:46:50,470 --> 00:46:55,630
2059
+ is important to clarify the stereotype not the
2060
+
2061
+ 516
2062
+ 00:46:55,630 --> 00:46:58,010
2063
+ stereotype stereotype okay
2064
+
2065
+ 517
2066
+ 00:47:02,300 --> 00:47:12,220
2067
+ ุฃูˆ ุงุดูƒุงู„ู†ุง ููŠ ุงู„ุนุงู„ู… ุชู…ุงู…ุŸ ู†ุนู… ูˆ ู†ุณุชุทูŠุน ู†ูƒุชุจ ูƒุซูŠุฑ
2068
+
2069
+ 518
2070
+ 00:47:12,220 --> 00:47:16,980
2071
+ ู…ู† ุงู„ุฃุณู„ุญุฉ ู…ุซู„ ู‡ุฐู‡ ููŠ ูƒุชุงุจุชูƒ ุณู†ู†ุชู‡ูŠ ู…ู† ู‡ุฐุง ููŠ
2072
+
2073
+ 519
2074
+ 00:47:16,980 --> 00:47:23,640
2075
+ ูƒุชุงุจุชูƒ ุนู„ู‰ ู…ูƒุชุจุฉ 43 ู†ุญู† ู„ุฏูŠู†ุง 6 ุฃุณู„ุญุฉ ู…ุง ุฃูˆุฏ ุฃู†
2076
+
2077
+ 520
2078
+ 00:47:23,640 --> 00:47:26,880
2079
+ ุชูุนู„ู‡ ููŠ ุงู„ู…ู†ุฒู„ ููŠ ุงู„ู…ู†ุฒู„ ูƒุนู…ู„ ุนุงู… ู‡ูˆ ุฃู† ุชูƒุชุจ
2080
+
2081
+ 521
2082
+ 00:47:26,880 --> 00:47:33,310
2083
+ ุฃุณู„ุญุฉ ู„ูƒู„ ูˆุงุญุฏof these six topics all rightุŸ all
2084
+
2085
+ 522
2086
+ 00:47:33,310 --> 00:47:35,490
2087
+ right and next time inshallah we'll practice
2088
+
2089
+ 523
2090
+ 00:47:35,490 --> 00:47:38,610
2091
+ writing more and more topic sentences topic
2092
+
2093
+ 524
2094
+ 00:47:38,610 --> 00:47:40,870
2095
+ sentences thank you very much and see you next
2096
+
2097
+ 525
2098
+ 00:47:40,870 --> 00:47:42,130
2099
+ time inshallah thank you
2100
+
SKIP:::PL9fwy3NUQKwbknFHzECJkgNOSFOth6GiS/0XznCDgyMy8_raw.srt ADDED
@@ -0,0 +1,2188 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ 1
2
+ 00:00:21,220 --> 00:00:23,980
3
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู…ุŒ good morningุŒ how are you todayุŸ
4
+
5
+ 2
6
+ 00:00:23,980 --> 00:00:27,800
7
+ Very goodุŒ very goodุŒ I hope that you have had a
8
+
9
+ 3
10
+ 00:00:27,800 --> 00:00:31,200
11
+ chance to go over this very important topic in
12
+
13
+ 4
14
+ 00:00:31,200 --> 00:00:34,980
15
+ your textbook. Today we're looking at the first
16
+
17
+ 5
18
+ 00:00:34,980 --> 00:00:38,320
19
+ component, the first element in a good paragraph
20
+
21
+ 6
22
+ 00:00:38,320 --> 00:00:41,260
23
+ which is the topic sentence. Remember last time we
24
+
25
+ 7
26
+ 00:00:41,260 --> 00:00:44,140
27
+ talked about the structure of a paragraph and we
28
+
29
+ 8
30
+ 00:00:44,140 --> 00:00:47,280
31
+ said that for a very good paragraph structure it
32
+
33
+ 9
34
+ 00:00:47,280 --> 00:00:50,840
35
+ has to have three elements. What are they?Topic
36
+
37
+ 10
38
+ 00:00:50,840 --> 00:00:55,360
39
+ sentence topic sentence topic sentence topic
40
+
41
+ 11
42
+ 00:00:55,360 --> 00:00:59,540
43
+ sentence topic sentence topic sentence topic
44
+
45
+ 12
46
+ 00:00:59,540 --> 00:01:01,940
47
+ sentence topic sentence topic sentence topic
48
+
49
+ 13
50
+ 00:01:01,940 --> 00:01:01,940
51
+ sentence topic sentence topic sentence topic
52
+
53
+ 14
54
+ 00:01:01,940 --> 00:01:01,940
55
+ sentence topic sentence topic sentence topic
56
+
57
+ 15
58
+ 00:01:01,940 --> 00:01:01,940
59
+ sentence topic sentence topic sentence topic
60
+
61
+ 16
62
+ 00:01:01,940 --> 00:01:01,940
63
+ sentence topic sentence topic sentence topic
64
+
65
+ 17
66
+ 00:01:01,940 --> 00:01:01,940
67
+ sentence topic sentence topic sentence topic
68
+
69
+ 18
70
+ 00:01:01,940 --> 00:01:01,940
71
+ sentence topic sentence topic sentence topic
72
+
73
+ 19
74
+ 00:01:01,940 --> 00:01:01,940
75
+ sentence topic sentence topic sentence topic
76
+
77
+ 20
78
+ 00:01:01,940 --> 00:01:02,180
79
+ sentence topic sentence topic sentence topic
80
+
81
+ 21
82
+ 00:01:02,180 --> 00:01:02,440
83
+ sentence topic sentence topic sentence topic
84
+
85
+ 22
86
+ 00:01:02,440 --> 00:01:02,600
87
+ sentence topic sentence topic sentence topic
88
+
89
+ 23
90
+ 00:01:02,600 --> 00:01:02,760
91
+ sentence topic sentence topic sentence topic
92
+
93
+ 24
94
+ 00:01:02,760 --> 00:01:02,940
95
+ sentence topic sentence topic sentence topic
96
+
97
+ 25
98
+ 00:01:02,940 --> 00:01:03,460
99
+ sentence topic sentence topic sentence topic
100
+
101
+ 26
102
+ 00:01:03,460 --> 00:01:03,460
103
+ sentence topic sentence topic sentence topic
104
+
105
+ 27
106
+ 00:01:03,460 --> 00:01:03,460
107
+ sentence topic sentence topic sentence topic
108
+
109
+ 28
110
+ 00:01:03,460 --> 00:01:03,660
111
+ sentence topic sentence topic sentence topic
112
+
113
+ 29
114
+ 00:01:03,660 --> 00:01:03,660
115
+ sentence topic sentence topic sentence topic
116
+
117
+ 30
118
+ 00:01:03,660 --> 00:01:03,660
119
+ sentence topic sentence topic sentence topic
120
+
121
+ 31
122
+ 00:01:03,660 --> 00:01:03,660
123
+ sentence topic sentence topic sentence topic
124
+
125
+ 32
126
+ 00:01:03,660 --> 00:01:04,020
127
+ sentence topic sentence topic sentence topic
128
+
129
+ 33
130
+ 00:01:04,020 --> 00:01:04,020
131
+ sentence topic sentence topic sentence topic
132
+
133
+ 34
134
+ 00:01:04,020 --> 00:01:04,980
135
+ sentence topic sentence topic sentence topic
136
+
137
+ 35
138
+ 00:01:04,980 --> 00:01:04,980
139
+ sentence topic sentence topic sentence topic
140
+
141
+ 36
142
+ 00:01:04,980 --> 00:01:04,980
143
+ sentence topic sentence topic sentence topic
144
+
145
+ 37
146
+ 00:01:04,980 --> 00:01:05,320
147
+ sentence topic sentence topic sentence topic
148
+
149
+ 38
150
+ 00:01:05,320 --> 00:01:05,320
151
+ sentence topic sentence topic sentence topic
152
+
153
+ 39
154
+ 00:01:05,320 --> 00:01:05,320
155
+ sentence topic sentence topic sentence topic
156
+
157
+ 40
158
+ 00:01:05,320 --> 00:01:05,360
159
+ sentence topic sentence topic sentence topic
160
+
161
+ 41
162
+ 00:01:05,360 --> 00:01:05,640
163
+ sentence topic sentence topic sentence topic
164
+
165
+ 42
166
+ 00:01:05,640 --> 00:01:06,060
167
+ sentence topic sentence topic sentence topic
168
+
169
+ 43
170
+ 00:01:06,060 --> 00:01:06,060
171
+ sentence topic sentence topic sentence topic
172
+
173
+ 44
174
+ 00:01:06,060 --> 00:01:06,060
175
+ sentence topic sentence topic sentence topic
176
+
177
+ 45
178
+ 00:01:06,060 --> 00:01:06,080
179
+ sentence topic sentence topic sentence topic
180
+
181
+ 46
182
+ 00:01:06,080 --> 00:01:10,830
183
+ sentence topic sentence topic sentence topicthe
184
+
185
+ 47
186
+ 00:01:10,830 --> 00:01:13,990
187
+ topic sentence okay and we're going to hopefully
188
+
189
+ 48
190
+ 00:01:13,990 --> 00:01:18,550
191
+ to practice writing good topic sentences so what
192
+
193
+ 49
194
+ 00:01:18,550 --> 00:01:20,450
195
+ is a topic sentence? we talked about this last
196
+
197
+ 50
198
+ 00:01:20,450 --> 00:01:24,830
199
+ time what is a topic sentence? yes please it's the
200
+
201
+ 51
202
+ 00:01:24,830 --> 00:01:27,290
203
+ first sentence in a paragraph and it tells the
204
+
205
+ 52
206
+ 00:01:27,290 --> 00:01:30,490
207
+ reader that like what is the paragraph very nice
208
+
209
+ 53
210
+ 00:01:30,490 --> 00:01:33,490
211
+ very nice so it is generally the first sentence in
212
+
213
+ 54
214
+ 00:01:33,490 --> 00:01:36,830
215
+ a paragraph it is the most important and the most
216
+
217
+ 55
218
+ 00:01:36,830 --> 00:01:40,950
219
+ general sentence in a paragraphูˆ ุฃู‡ู… ุดูŠุก ู‡ูˆ ุฃู†ู‡
220
+
221
+ 56
222
+ 00:01:40,950 --> 00:01:47,870
223
+ ูŠุญุชูˆูŠ ุนู„ู‰ ููƒุฑุฉ ุฃุณุงุณูŠุฉ ู„ู„ุชุญุฏุซ ููŠ ู…ู‚ุงู„ุฉุŒ ู‡ุฐู‡ ู‡ูŠ
224
+
225
+ 57
226
+ 00:01:47,870 --> 00:01:50,850
227
+ ุงู„ุฃุดูŠุงุก ุงู„ู…ู‡ู…ุฉ ููŠ ู…ู‚ุงู„ุฉ ุฌูŠุฏุฉ ุฏุนูˆู†ุง ู†ุนุชุจุฑ ู‡ุฐุง
228
+
229
+ 58
230
+ 00:01:50,850 --> 00:01:55,910
231
+ ุงู„ู…ุซุงู„ ู…ู‚ุงู„ุฉ ูŠุญุชูˆูŠ ุนู„ู‰ ู…ู‚ุงู„ุฉ ุฌูŠุฏุฉ ุฌุฏุงุŒ ุฏุนูˆู†ุง
232
+
233
+ 59
234
+ 00:01:55,910 --> 00:02:01,310
235
+ ู†ู‚ุฑุฃู‡ุง ุจุณุฑุนุฉุŒ ุงู„ู…ุดูƒู„ุฉ ุงู„ุฃู‡ู… ููŠ ู…ุฏูŠู†ุชู†ุง ู‡ูŠPoor
236
+
237
+ 60
238
+ 00:02:01,310 --> 00:02:04,470
239
+ public transportation system. So this is the topic
240
+
241
+ 61
242
+ 00:02:04,470 --> 00:02:08,510
243
+ sentence in a paragraph on this idea. What is the
244
+
245
+ 62
246
+ 00:02:08,510 --> 00:02:11,590
247
+ main idea here in the first sentence? In this
248
+
249
+ 63
250
+ 00:02:11,590 --> 00:02:14,050
251
+ topic sentence? All right. Let me just read it
252
+
253
+ 64
254
+ 00:02:14,050 --> 00:02:17,790
255
+ again. The most important problem in our city is
256
+
257
+ 65
258
+ 00:02:17,790 --> 00:02:21,150
259
+ its poor public transportation system. What is the
260
+
261
+ 66
262
+ 00:02:21,150 --> 00:02:24,410
263
+ topic? What is the important idea? What is the
264
+
265
+ 67
266
+ 00:02:24,410 --> 00:02:27,350
267
+ main idea in this sentence? Yes please.
268
+
269
+ 68
270
+ 00:02:31,920 --> 00:02:36,120
271
+ and another thing it's about the problem of poor
272
+
273
+ 69
274
+ 00:02:36,120 --> 00:02:39,900
275
+ public transportation system in our city so this
276
+
277
+ 70
278
+ 00:02:39,900 --> 00:02:43,100
279
+ is what the paragraph actually discusses the
280
+
281
+ 71
282
+ 00:02:43,100 --> 00:02:46,840
283
+ problem of poor public transportation system in
284
+
285
+ 72
286
+ 00:02:46,840 --> 00:02:49,580
287
+ our city and as you can see the structure is a
288
+
289
+ 73
290
+ 00:02:49,580 --> 00:02:52,210
291
+ topic sentence, a number of sentencesto support,
292
+
293
+ 74
294
+ 00:02:52,370 --> 00:02:55,030
295
+ to learn support, to develop, to discuss this main
296
+
297
+ 75
298
+ 00:02:55,030 --> 00:02:59,310
299
+ idea and then we end with a concluding sentence.
300
+
301
+ 76
302
+ 00:02:59,310 --> 00:03:02,890
303
+ This is also another example of a good paragraph
304
+
305
+ 77
306
+ 00:03:02,890 --> 00:03:05,950
307
+ which has a good topic sentence. Let's just read.
308
+
309
+ 78
310
+ 00:03:06,310 --> 00:03:09,530
311
+ There are several possible reasons why my father
312
+
313
+ 79
314
+ 00:03:09,530 --> 00:03:12,510
315
+ is in excellent health. What is the main idea
316
+
317
+ 80
318
+ 00:03:12,510 --> 00:03:12,830
319
+ here?
320
+
321
+ 81
322
+ 00:03:16,260 --> 00:03:23,260
323
+ why my father is in excellent health why my father
324
+
325
+ 82
326
+ 00:03:23,260 --> 00:03:28,040
327
+ is in excellent health all these supporting
328
+
329
+ 83
330
+ 00:03:28,040 --> 00:03:33,340
331
+ sentences actually elaborate give reasons why my
332
+
333
+ 84
334
+ 00:03:33,340 --> 00:03:35,800
335
+ father is in excellent health and finally we end
336
+
337
+ 85
338
+ 00:03:35,800 --> 00:03:39,580
339
+ up with a concluding sentence in short my father
340
+
341
+ 86
342
+ 00:03:39,580 --> 00:03:45,250
343
+ is in better healthุงู„ุดูŠุทุงู† ูˆ ุจุนุถ ุฃุทูุงู„ู‡ ูู‡ุฐุง ู…ุฌุฏุฏุง
344
+
345
+ 87
346
+ 00:03:45,250 --> 00:03:49,510
347
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ุตุญูŠุญ ูŠุญุชูˆูŠ ุนู„ู‰ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
348
+
349
+ 88
350
+ 00:03:49,510 --> 00:03:54,150
351
+ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ
352
+
353
+ 89
354
+ 00:03:54,150 --> 00:03:56,310
355
+ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
356
+
357
+ 90
358
+ 00:03:56,310 --> 00:03:56,310
359
+ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ
360
+
361
+ 91
362
+ 00:03:56,310 --> 00:03:58,810
363
+ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ
364
+
365
+ 92
366
+ 00:03:58,810 --> 00:04:11,350
367
+ ู…ุตุทู„ุญ ุต
368
+
369
+ 93
370
+ 00:04:32,230 --> 00:04:35,330
371
+ So is the topic sentences number one, two or
372
+
373
+ 94
374
+ 00:04:35,330 --> 00:04:38,470
375
+ three? Which one is the best topic sentence for
376
+
377
+ 95
378
+ 00:04:38,470 --> 00:04:43,450
379
+ this short paragraph? Clearly it has to be number
380
+
381
+ 96
382
+ 00:04:43,450 --> 00:04:47,630
383
+ two. Very nice. Books are my favorite or my
384
+
385
+ 97
386
+ 00:04:47,630 --> 00:04:48,310
387
+ father's.
388
+
389
+ 98
390
+ 00:04:50,970 --> 00:04:54,210
391
+ Why? Because all these supporting sentences relate
392
+
393
+ 99
394
+ 00:04:54,210 --> 00:04:58,010
395
+ to this topic sentence number two. So this is what
396
+
397
+ 100
398
+ 00:04:58,010 --> 00:05:00,870
399
+ we need to keep in mind. A topic sentence must be
400
+
401
+ 101
402
+ 00:05:00,870 --> 00:05:03,870
403
+ the general idea to be discussed in detail in the
404
+
405
+ 102
406
+ 00:05:03,870 --> 00:05:05,930
407
+ rest of the paragraph. Let's consider another
408
+
409
+ 103
410
+ 00:05:05,930 --> 00:05:08,770
411
+ paragraph and see what is the best topic sentence
412
+
413
+ 104
414
+ 00:05:08,770 --> 00:05:09,370
415
+ in this paragraph.
416
+
417
+ 105
418
+ 00:05:35,370 --> 00:05:39,350
419
+ ุญุณู†ู‹ุงุŒ ุญุณู†ู‹ุงุŒ ูุจุงู„ุทุจุน ุงู„ุณู„ุณู„ุฉ ู‡ูŠ ุฃูŠ ุณู„ุณู„ุฉุŸ ุฑู‚ู…
420
+
421
+ 106
422
+ 00:05:39,350 --> 00:05:42,650
423
+ ุซู„ุงุซุฉุŸ ู†ุนู…ุŒ ู‡ุฐู‡ ุงู„ุณู„ุณู„ุฉ ุงู„ุฃูุถู„ ู„ู„ุณู„ุณู„ุฉ ููŠ ู‡ุฐุง
424
+
425
+ 107
426
+ 00:05:42,650 --> 00:05:45,890
427
+ ุงู„ููŠุฏูŠูˆ. ู‡ู†ุงูƒ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
428
+
429
+ 108
430
+ 00:05:45,890 --> 00:05:45,890
431
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
432
+
433
+ 109
434
+ 00:05:45,890 --> 00:05:47,010
435
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
436
+
437
+ 110
438
+ 00:05:47,010 --> 00:05:50,110
439
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
440
+
441
+ 111
442
+ 00:05:50,110 --> 00:05:50,130
443
+ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„ ุฃูุถู„
444
+
445
+ 112
446
+ 00:06:07,500 --> 00:06:10,980
447
+ Now let's consider what is or what are the parts
448
+
449
+ 113
450
+ 00:06:10,980 --> 00:06:14,000
451
+ of a topic sentence.Generally we have to think of
452
+
453
+ 114
454
+ 00:06:14,000 --> 00:06:17,040
455
+ oh there are two parts for a very good topic
456
+
457
+ 115
458
+ 00:06:17,040 --> 00:06:20,040
459
+ sentence.A topic sentence must have two things,
460
+
461
+ 116
462
+ 00:06:20,240 --> 00:06:23,300
463
+ the topic and the topic.That's a brilliant idea,
464
+
465
+ 117
466
+ 00:06:23,400 --> 00:06:26,560
467
+ very nice. So what is the topic? Basically the
468
+
469
+ 118
470
+ 00:06:26,560 --> 00:06:29,920
471
+ subject of your paragraph.It is what you
472
+
473
+ 119
474
+ 00:06:29,920 --> 00:06:32,960
475
+ paragraph, what you are writing about. Okay? So
476
+
477
+ 120
478
+ 00:06:32,960 --> 00:06:36,640
479
+ for example, bread is an important part of our
480
+
481
+ 121
482
+ 00:06:36,640 --> 00:06:40,240
483
+ everyday life. What is the topic? Bread. So this
484
+
485
+ 122
486
+ 00:06:40,240 --> 00:06:42,080
487
+ is what I'm going to write about. It's about
488
+
489
+ 123
490
+ 00:06:42,080 --> 00:06:45,020
491
+ bread, not about vegetables or about pollution or
492
+
493
+ 124
494
+ 00:06:45,020 --> 00:06:47,420
495
+ anything like that. And the same thing. Boleros
496
+
497
+ 125
498
+ 00:06:47,420 --> 00:06:51,760
499
+ are good for you. The topic is potatoes, not
500
+
501
+ 126
502
+ 00:06:51,760 --> 00:06:55,280
503
+ anything else. The hamburger is a popular food in
504
+
505
+ 127
506
+ 00:06:55,280 --> 00:06:59,850
507
+ the United States.it's the ham burger and finally
508
+
509
+ 128
510
+ 00:06:59,850 --> 00:07:02,710
511
+ rice is a nutritious part of our diet again the
512
+
513
+ 129
514
+ 00:07:02,710 --> 00:07:06,030
515
+ topic is rice I'm not going to talk about another
516
+
517
+ 130
518
+ 00:07:06,030 --> 00:07:09,990
519
+ subject it's about rice and rice only so the first
520
+
521
+ 131
522
+ 00:07:09,990 --> 00:07:12,830
523
+ part of a good topic sentence is that it must have
524
+
525
+ 132
526
+ 00:07:12,830 --> 00:07:16,630
527
+ a topic all right all right what is the
528
+
529
+ 133
530
+ 00:07:16,630 --> 00:07:18,850
531
+ controlling idea the controlling idea is the
532
+
533
+ 134
534
+ 00:07:18,850 --> 00:07:22,290
535
+ second part of a good topic sentence what is it
536
+
537
+ 135
538
+ 00:07:22,290 --> 00:07:27,170
539
+ it's basically what limits or controls your topic
540
+
541
+ 136
542
+ 00:07:27,350 --> 00:07:31,330
543
+ OkayุŸ So what specifies your topicุŸ For example a
544
+
545
+ 137
546
+ 00:07:31,330 --> 00:07:35,910
547
+ topic on rice for example I cannot talk about all
548
+
549
+ 138
550
+ 00:07:35,910 --> 00:07:41,530
551
+ the things, all the issues in rice So basically it
552
+
553
+ 139
554
+ 00:07:41,530 --> 00:07:44,790
555
+ is what you want to specifically write about, this
556
+
557
+ 140
558
+ 00:07:44,790 --> 00:07:47,310
559
+ is your controlling idea, what you in particular
560
+
561
+ 141
562
+ 00:07:47,310 --> 00:07:50,990
563
+ want to write about in relation to yourand this is
564
+
565
+ 142
566
+ 00:07:50,990 --> 00:07:54,610
567
+ what we call a controlling idea so basically it
568
+
569
+ 143
570
+ 00:07:54,610 --> 00:07:58,190
571
+ limits or controls your topic okay because you
572
+
573
+ 144
574
+ 00:07:58,190 --> 00:08:00,770
575
+ cannot talk about everything so you have to have
576
+
577
+ 145
578
+ 00:08:00,770 --> 00:08:04,070
579
+ some direction you have to have some idea or
580
+
581
+ 146
582
+ 00:08:04,070 --> 00:08:07,050
583
+ aspect or thing that you want to specifically
584
+
585
+ 147
586
+ 00:08:07,050 --> 00:08:11,090
587
+ write about for example let's see a topic like
588
+
589
+ 148
590
+ 00:08:11,090 --> 00:08:15,830
591
+ rice alrightู…ุงุฐุง ุชุฑูŠุฏ ุฃู† ุชูƒุชุจ ููŠ ู…ูˆุถูˆุน ู…ุซู„ ุงู„ุจูŠุถุฉ
592
+
593
+ 149
594
+ 00:08:15,830 --> 00:08:19,430
595
+ ููŠ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ุŒ ุฏุนู†ุง ู†ุฑู‰ ุจุฃู†
596
+
597
+ 150
598
+ 00:08:19,430 --> 00:08:24,130
599
+ ุงู„ุจูŠุถุฉ ุชู„ู‚ู‰ ุฌุฒุก ู…ู‡ู… ููŠ ุจุนุถ ุงู„ู…ูˆู‚ุนุงุช ุงู„ุซู‚ุงููŠุฉุŒ ู…ุงุฐุง
600
+
601
+ 151
602
+ 00:08:24,130 --> 00:08:28,150
603
+ ุชู„ุงุญุธ ู‡ู†ุง ู‡ูˆ ุฃู† ุงู„ู…ูˆุถูˆุน ู‡ูˆ ุงู„ุจูŠุถุฉุŒ ู…ุงุฐุง ุจุงู„ุถุจุท
604
+
605
+ 152
606
+ 00:08:28,150 --> 00:08:34,030
607
+ ุณุฃุชูƒู„ู… ุนู†ู‡ุŸ ูƒูŠู ู‡ูˆ ุฃูˆ ูƒูŠู ูŠู„ู‚ู‰ ุฌุฒุก ู…ู‡ู… ููŠ ุงู„ู…ูˆู‚ุนุงุช
608
+
609
+ 153
610
+ 00:08:34,030 --> 00:08:38,950
611
+ ุงู„ุซู‚ุงููŠุฉุŸ ุชุฑู‰ ุงู„ููŠุฏูŠูˆ ุงู„ุซุงู†ูŠุŒ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุจูŠุถุฉ ู‡ูŠ
612
+
613
+ 154
614
+ 00:08:38,950 --> 00:08:46,260
615
+ ุฌุฒุก ู…ู†ุงุณุจ ู„ู†ุงู…ุงุฐุง ู‡ูˆ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ู…ุฌุฒุฑุฉ ุทุนุงู…ูŠุฉ.
616
+
617
+ 155
618
+ 00:08:46,280 --> 00:08:51,300
619
+ ุงู„ุญู…ุถุงู†ุฉ ุฌูŠุฏุฉ ุฌุฏุง ู„ูƒ ูˆ ู„ู„ู†ุงุณ. ุงู„ุญู…ุถุงู†ุฉ ุฏุงุฆู…ุง ุฌูŠุฏุฉ
620
+
621
+ 156
622
+ 00:08:51,300 --> 00:08:55,840
623
+ ู„ูƒ. ูˆ ู…ุฑุฉ ุฃุฎุฑู‰ุŒ ุงู„ุญู…ุถุงู†ุฉ ุงู„ุญู…ุถุงู†ุฉ ู„ูŠุณุช ุตุญูŠุฉ ู„ูƒ. ู…ุง
624
+
625
+ 157
626
+ 00:08:55,840 --> 00:09:04,600
627
+ ู‡ูˆ ููƒุฑุฉ ุงู„ุชุญูƒู…ุŸ ุงู„ุญู…ุถุงู†ุฉ ู„ูŠุณุช ุตุญูŠุฉ ู„ูƒ.ู‡ูˆ ูŠุชูƒู„ู… ุนู†
628
+
629
+ 158
630
+ 00:09:04,600 --> 00:09:08,940
631
+ ู…ูˆุงุถูŠุน ุงู„ุชุญูƒู…ุŒ ู„ูŠุณ ุนู† ู‡ุฐุง ุฃูˆ ู‡ุฐุงุŒ ู„ุฐู„ูƒ ุงู„ู…ูˆุงุถูŠุน
632
+
633
+ 159
634
+ 00:09:08,940 --> 00:09:16,160
635
+ ุงู„ุชุญูƒู… ุชุชุนุงู…ู„ ู…ุน ุงู„ู…ูˆุงุถูŠุน ุงู„ูˆุญูŠุฏุฉ ุงู„ุชูŠ ุชุฑูŠุฏ ุฃู†
636
+
637
+ 160
638
+ 00:09:16,160 --> 00:09:19,660
639
+ ุชุชูƒู„ู… ุนู†ู‡ุง ููŠ ู…ูˆุงุถุนูƒุŒ ู„ุฐุง ู„ุฏูŠู†ุง ู†ูุณ ุงู„ู…ูˆุงุถุนุŒ ู„ูƒู†
640
+
641
+ 161
642
+ 00:09:19,660 --> 00:09:22,160
643
+ ููŠ ูƒู„ ู…ุฑุฉ ู„ุฏูŠู†ุง ู…ูˆุงุถุน ู…ุฎุชู„ูุฉ
644
+
645
+ 162
646
+ 00:09:28,520 --> 00:09:33,980
647
+ ู…ุงุฐุง ู‡ูˆ ุงู„ู…ูู‡ูˆู… ุงู„ุชุญูƒู…ูŠ ููŠ ุฃุณู„ูˆุจ ุงู„ุชุทุจูŠู‚ ุงู„ุชุงู„ูŠุŸ
648
+
649
+ 163
650
+ 00:09:33,980 --> 00:09:51,680
651
+ ุงูƒุชุดู
652
+
653
+ 164
654
+ 00:09:51,680 --> 00:09:54,460
655
+ ุงู„ุชุทุจูŠู‚ ูˆุงู„ู…ูู‡ูˆู… ุงู„ุชุญูƒู…ูŠLet's look at the
656
+
657
+ 165
658
+ 00:09:54,460 --> 00:09:58,920
659
+ controlling body in this short exercise. What is
660
+
661
+ 166
662
+ 00:09:58,920 --> 00:10:01,240
663
+ the controlling bodyุŸ Yes please. The brain is an
664
+
665
+ 167
666
+ 00:10:01,240 --> 00:10:06,100
667
+ important part of our diet. Very nice. So this is
668
+
669
+ 168
670
+ 00:10:06,100 --> 00:10:08,980
671
+ the controlling of your brain. It's unimportant or
672
+
673
+ 169
674
+ 00:10:08,980 --> 00:10:12,220
675
+ how bread is important in our .. as an important
676
+
677
+ 170
678
+ 00:10:12,220 --> 00:10:17,600
679
+ part of our diet. Okay. The second one. Yes please
680
+
681
+ 171
682
+ 00:10:17,600 --> 00:10:18,040
683
+ over there.
684
+
685
+ 172
686
+ 00:10:20,950 --> 00:10:24,330
687
+ All right, so what is the controlling idea? How it
688
+
689
+ 173
690
+ 00:10:24,330 --> 00:10:27,590
691
+ plays an important part in our brain. Of course
692
+
693
+ 174
694
+ 00:10:27,590 --> 00:10:31,210
695
+ all our dinner tables or our tables or meals
696
+
697
+ 175
698
+ 00:10:31,210 --> 00:10:37,570
699
+ contain some form of bread. And three. Potatoes
700
+
701
+ 176
702
+ 00:10:37,570 --> 00:10:41,870
703
+ are easy to grow. How potatoes are easy to grow.
704
+
705
+ 177
706
+ 00:10:41,950 --> 00:10:45,090
707
+ So this is what the paragraph actually discusses.
708
+
709
+ 178
710
+ 00:10:45,210 --> 00:10:51,440
711
+ How easy to grow potatoes. And number four.ุทุงุทูˆุงุช
712
+
713
+ 179
714
+ 00:10:51,440 --> 00:10:54,120
715
+ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ
716
+
717
+ 180
718
+ 00:10:54,120 --> 00:10:57,480
719
+ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุงู„ุทุนุงู… ุงู„ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ
720
+
721
+ 181
722
+ 00:10:57,480 --> 00:10:58,780
723
+ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง
724
+
725
+ 182
726
+ 00:10:58,780 --> 00:11:02,440
727
+ ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ
728
+
729
+ 183
730
+ 00:11:02,440 --> 00:11:05,720
731
+ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู…
732
+
733
+ 184
734
+ 00:11:05,720 --> 00:11:06,360
735
+ ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ
736
+
737
+ 185
738
+ 00:11:06,360 --> 00:11:08,580
739
+ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง
740
+
741
+ 186
742
+ 00:11:08,580 --> 00:11:12,260
743
+ ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑู„ุงู†ุฏุง ูˆ ู‡ูŠ ุทุนุงู… ุฑุฆูŠุณูŠ ููŠ ุฃูŠุฑ
744
+
745
+ 187
746
+ 00:11:13,190 --> 00:11:16,070
747
+ and the popularity of French fries all over the
748
+
749
+ 188
750
+ 00:11:16,070 --> 00:11:18,570
751
+ world so this is what we mean by looking at or
752
+
753
+ 189
754
+ 00:11:18,570 --> 00:11:21,410
755
+ whenever we write a topic sentence we have this ..
756
+
757
+ 190
758
+ 00:11:21,410 --> 00:11:24,750
759
+ we have to have these two components a topic and
760
+
761
+ 191
762
+ 00:11:24,750 --> 00:11:28,450
763
+ that specific aspect that I want to write about in
764
+
765
+ 192
766
+ 00:11:28,450 --> 00:11:31,090
767
+ this topic that is to say the controlling .. the
768
+
769
+ 193
770
+ 00:11:31,090 --> 00:11:34,650
771
+ controlling idea let's just consider more examples
772
+
773
+ 194
774
+ 00:11:34,650 --> 00:11:37,810
775
+ just to make sure that the idea is clear all right
776
+
777
+ 195
778
+ 00:11:37,810 --> 00:11:41,330
779
+ decide what is the control .. what is the topicand
780
+
781
+ 196
782
+ 00:11:41,330 --> 00:11:43,670
783
+ what is the controlling idea in each one of these
784
+
785
+ 197
786
+ 00:11:43,670 --> 00:11:47,210
787
+ topic sentences? let me just write one of the most
788
+
789
+ 198
790
+ 00:11:47,210 --> 00:11:52,510
791
+ serious problems in today's public school
792
+
793
+ 199
794
+ 00:11:52,510 --> 00:11:58,920
795
+ is overcrowded classrooms what is the topic?ู‡ุฐุง
796
+
797
+ 200
798
+ 00:11:58,920 --> 00:12:04,400
799
+ ู„ูŠุณ ู…ูˆ ู…ูˆุถูˆุนุŒ ู‡ุฐุง ู…ูˆุถูˆุน ุงู„ุชุญูƒู…ุŒ ู…ุงู‡ูˆ ุงู„ู…ูˆุถูˆุนุŸ
800
+
801
+ 201
802
+ 00:12:04,400 --> 00:12:09,300
803
+ ู…ุดุงูƒู„ ุฃูˆ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„
804
+
805
+ 202
806
+ 00:12:09,300 --> 00:12:11,740
807
+ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ
808
+
809
+ 203
810
+ 00:12:11,740 --> 00:12:13,320
811
+ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ
812
+
813
+ 204
814
+ 00:12:13,320 --> 00:12:13,320
815
+ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ
816
+
817
+ 205
818
+ 00:12:13,320 --> 00:12:13,780
819
+ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„
820
+
821
+ 206
822
+ 00:12:13,780 --> 00:12:14,300
823
+ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู…
824
+
825
+ 207
826
+ 00:12:14,300 --> 00:12:16,720
827
+ ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ
828
+
829
+ 208
830
+ 00:12:16,720 --> 00:12:18,640
831
+ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ ู…ุดุงูƒู„ ุญู‚ูŠู‚ูŠุฉ ููŠ ุงู„ูŠูˆู… ุงู„ูˆุทู†ูŠุŒ
832
+
833
+ 209
834
+ 00:12:18,640 --> 00:12:19,160
835
+ ู…ุดุงูƒู„ ุญ
836
+
837
+ 210
838
+ 00:12:26,380 --> 00:12:29,540
839
+ ู‡ูˆ ู„ูŠุณ ุนู† ุงู„ู…ุฏุฑุณูŠู†ุŒ ู„ูƒู† ุนู† ู‡ุฐู‡ ุงู„ููƒุฑุฉ ุงู„ุชุญูƒู…ูŠุฉุŒ
840
+
841
+ 211
842
+ 00:12:29,540 --> 00:12:30,860
843
+ ุฅู†ู‡ุง ุนู† ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
844
+
845
+ 212
846
+ 00:12:30,860 --> 00:12:31,680
847
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
848
+
849
+ 213
850
+ 00:12:31,680 --> 00:12:33,380
851
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
852
+
853
+ 214
854
+ 00:12:33,380 --> 00:12:34,160
855
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
856
+
857
+ 215
858
+ 00:12:34,160 --> 00:12:34,780
859
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
860
+
861
+ 216
862
+ 00:12:34,780 --> 00:12:38,000
863
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…ุน
864
+
865
+ 217
866
+ 00:12:38,000 --> 00:12:45,230
867
+ ู…ุฌุชู…ุน ู…ุฌุชู…ุน ู…ุฌุชู…the low percentage of trained
868
+
869
+ 218
870
+ 00:12:45,230 --> 00:12:49,690
871
+ teachers so the controlling idea here is yes this
872
+
873
+ 219
874
+ 00:12:49,690 --> 00:12:52,910
875
+ is so the same topic but a different controlling
876
+
877
+ 220
878
+ 00:12:52,910 --> 00:12:56,910
879
+ idea the low percentage of today's or of trained
880
+
881
+ 221
882
+ 00:12:56,910 --> 00:13:01,690
883
+ teachers all right let's see these three topic
884
+
885
+ 222
886
+ 00:13:01,690 --> 00:13:06,350
887
+ sentences with different controlling idea and the
888
+
889
+ 223
890
+ 00:13:06,350 --> 00:13:12,140
891
+ same topic let's just see Egyptian thumbsู‡ูŠ ุฃุดู‡ุฑ
892
+
893
+ 224
894
+ 00:13:12,140 --> 00:13:16,360
895
+ ู„ุชุตู†ุนู‡ุงุŒ ูˆู‚ูŠู…ุฉ ุฃุฌูŠุจุณูŠุง ูุฑู…ุฒ ุงุชู‚ู„ุช ุฎู„ุงู„ ุนุงู…ูŠู† ูˆุนุดุฑ
896
+
897
+ 225
898
+ 00:13:16,360 --> 00:13:20,040
899
+ ุนุงู…ูŠู† ูˆูŠู…ูƒู† ุฃู† ุชูƒูˆู† ุฃุฌูŠุจุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ู„ุนุจุงุฑุฉ
900
+
901
+ 226
902
+ 00:13:20,040 --> 00:13:24,580
903
+ ุนู† ูƒูˆู…ูŠุฏูŠุง ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
904
+
905
+ 227
906
+ 00:13:24,580 --> 00:13:26,080
907
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
908
+
909
+ 228
910
+ 00:13:26,080 --> 00:13:27,160
911
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
912
+
913
+ 229
914
+ 00:13:27,160 --> 00:13:28,580
915
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ
916
+
917
+ 230
918
+ 00:13:28,580 --> 00:13:31,650
919
+ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…ุงู†ุณูŠุง ูุฑู…ุฒ ู…ุฌุชู…ุนูŠูŠู† ูˆุฑูˆู…How they are
920
+
921
+ 231
922
+ 00:13:31,650 --> 00:13:34,050
923
+ getting more expensive to produce, the second one
924
+
925
+ 232
926
+ 00:13:34,050 --> 00:13:38,550
927
+ is really about the quality has going down, has
928
+
929
+ 233
930
+ 00:13:38,550 --> 00:13:40,870
931
+ gone down and finally you have less of it or
932
+
933
+ 234
934
+ 00:13:40,870 --> 00:13:43,730
935
+ something like that So this is what I want you to
936
+
937
+ 235
938
+ 00:13:43,730 --> 00:13:46,430
939
+ understand or to keep in mind whenever you write a
940
+
941
+ 236
942
+ 00:13:46,430 --> 00:13:49,610
943
+ topic sentence, a topic and something specific,
944
+
945
+ 237
946
+ 00:13:49,750 --> 00:13:52,070
947
+ that is to say you discuss one aspect about it
948
+
949
+ 238
950
+ 00:14:00,830 --> 00:14:04,090
951
+ ู‚ุจู„ ุฃู† ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ุชุนู„ูŠู… ู‡ู†ุงุŒ ุฏุนู†ุง ู†ู†ุธุฑ ุฅู„ู‰ ู…ู‚ุนุฏ
952
+
953
+ 239
954
+ 00:14:04,090 --> 00:14:10,030
955
+ 41ุŒ ู…ู‚ุนุฏ 41ุŒ ุฏุนู†ุง
956
+
957
+ 240
958
+ 00:14:10,030 --> 00:14:16,750
959
+ ู†ู†ุธุฑ ุฅู„ู‰ ุงู„ุชุนู„ูŠู… ู‡ู†ุงุŒ ูˆ ุฃูˆุฏ ุฃู†ูƒ ุชุถุบุท ุฃูˆ ุชุณุฌู„
960
+
961
+ 241
962
+ 00:14:16,750 --> 00:14:22,370
963
+ ู…ูˆุถูˆุนูƒ ููŠ ุงู„ุชุนู„ูŠู… ูˆุงุญุฏุŒ ูˆ ุชุฏุฎู„ ููƒุฑุฉ ุงู„ุชุญูƒู… ููŠ ูƒู„
964
+
965
+ 242
966
+ 00:14:22,370 --> 00:14:25,350
967
+ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ ุงู„ุตูุงุชุŒ ู†ุนู…
968
+
969
+ 243
970
+ 00:15:39,870 --> 00:15:42,950
971
+ ู…ุด ูƒุฏุง ูŠุง ุนุฒูŠุฒูŠ .. ู…ุด ูƒุฏุง
972
+
973
+ 244
974
+ 00:16:11,540 --> 00:16:15,040
975
+ All right I'm finishedุŸ All right I suppose that
976
+
977
+ 245
978
+ 00:16:15,040 --> 00:16:17,900
979
+ you prepared the class as well All right yes
980
+
981
+ 246
982
+ 00:16:17,900 --> 00:16:22,560
983
+ please the first one It's
984
+
985
+ 247
986
+ 00:16:22,560 --> 00:16:25,120
987
+ already done good roommates have four
988
+
989
+ 248
990
+ 00:16:25,120 --> 00:16:28,460
991
+ characteristics the topic is good roommates what
992
+
993
+ 249
994
+ 00:16:28,460 --> 00:16:31,460
995
+ exactly I'm going to write about is the four
996
+
997
+ 250
998
+ 00:16:31,460 --> 00:16:34,140
999
+ characteristics of good roommates the second one
1000
+
1001
+ 251
1002
+ 00:16:34,140 --> 00:16:37,070
1003
+ yes pleaseThe college students take many kinds of
1004
+
1005
+ 252
1006
+ 00:16:37,070 --> 00:16:40,710
1007
+ tests. College students is the topic. Very nice.
1008
+
1009
+ 253
1010
+ 00:16:44,270 --> 00:16:48,330
1011
+ Is the controlling idea. Very very good. Yes
1012
+
1013
+ 254
1014
+ 00:16:48,330 --> 00:16:52,070
1015
+ please. The small cars have several advantages.
1016
+
1017
+ 255
1018
+ 00:16:52,250 --> 00:16:56,530
1019
+ The small cars topic have several advantages. The
1020
+
1021
+ 256
1022
+ 00:16:56,530 --> 00:17:00,550
1023
+ advantages of the small cars is the controlling
1024
+
1025
+ 257
1026
+ 00:17:00,550 --> 00:17:06,370
1027
+ idea. Yes please.Big cars are safer than small
1028
+
1029
+ 258
1030
+ 00:17:06,370 --> 00:17:09,290
1031
+ cars for two reasons. Big cars are two different
1032
+
1033
+ 259
1034
+ 00:17:09,290 --> 00:17:14,370
1035
+ things. Very nice. They are safer than small cars
1036
+
1037
+ 260
1038
+ 00:17:14,370 --> 00:17:16,850
1039
+ for two reasons. And how they are safer. Very
1040
+
1041
+ 261
1042
+ 00:17:16,850 --> 00:17:21,410
1043
+ nice. Very nice. This is the controlling idea. Yes
1044
+
1045
+ 262
1046
+ 00:17:21,410 --> 00:17:24,310
1047
+ please. A baseball player must master several
1048
+
1049
+ 263
1050
+ 00:17:24,310 --> 00:17:24,810
1051
+ skills.
1052
+
1053
+ 264
1054
+ 00:17:29,840 --> 00:17:33,300
1055
+ Okay about mastering several skills is the
1056
+
1057
+ 265
1058
+ 00:17:33,300 --> 00:17:37,000
1059
+ controlling idea. Yes please. Living with your
1060
+
1061
+ 266
1062
+ 00:17:37,000 --> 00:17:40,440
1063
+ parents has certain advantages. Living with your
1064
+
1065
+ 267
1066
+ 00:17:40,440 --> 00:17:45,580
1067
+ parents is too big sometimes and advantages of
1068
+
1069
+ 268
1070
+ 00:17:45,580 --> 00:17:51,660
1071
+ living is actually the controlling idea. Yes
1072
+
1073
+ 269
1074
+ 00:17:51,660 --> 00:17:55,380
1075
+ please.living with your parents topic or idea has
1076
+
1077
+ 270
1078
+ 00:17:55,380 --> 00:17:58,600
1079
+ certain disadvantages for youุŸ fairness this is
1080
+
1081
+ 271
1082
+ 00:17:58,600 --> 00:18:01,760
1083
+ the controlling .. this is topic and this is the
1084
+
1085
+ 272
1086
+ 00:18:01,760 --> 00:18:05,080
1087
+ controlling idea yes please
1088
+
1089
+ 273
1090
+ 00:18:13,960 --> 00:18:17,600
1091
+ Very nice. So the topic is Olympic athletes. What
1092
+
1093
+ 274
1094
+ 00:18:17,600 --> 00:18:22,040
1095
+ we gonna talk about is talent and dedication is
1096
+
1097
+ 275
1098
+ 00:18:22,040 --> 00:18:24,640
1099
+ the controlling idea. Don't always think of the
1100
+
1101
+ 276
1102
+ 00:18:24,640 --> 00:18:26,940
1103
+ topic as coming at the first part of a sentence.
1104
+
1105
+ 277
1106
+ 00:18:27,160 --> 00:18:30,120
1107
+ Sometimes it depends on what is the topic and the
1108
+
1109
+ 278
1110
+ 00:18:30,120 --> 00:18:32,320
1111
+ controlling idea. So very nice. So Olympic
1112
+
1113
+ 279
1114
+ 00:18:32,320 --> 00:18:36,480
1115
+ athletes is the topic and the controlling idea are
1116
+
1117
+ 280
1118
+ 00:18:36,480 --> 00:18:39,260
1119
+ the two characteristics of talent and dedication
1120
+
1121
+ 281
1122
+ 00:18:39,260 --> 00:18:41,520
1123
+ for Olympic athletes. Yes please.
1124
+
1125
+ 282
1126
+ 00:18:51,750 --> 00:18:55,330
1127
+ is how .. this is what we talk about. Just imagine
1128
+
1129
+ 283
1130
+ 00:18:55,330 --> 00:18:57,790
1131
+ a controlling idea is what the paragraph talks
1132
+
1133
+ 284
1134
+ 00:18:57,790 --> 00:19:00,290
1135
+ about. All right? So this is what your controlling
1136
+
1137
+ 285
1138
+ 00:19:00,290 --> 00:19:04,710
1139
+ idea is. All right? Yes please. Tokyo has
1140
+
1141
+ 286
1142
+ 00:19:04,710 --> 00:19:09,590
1143
+ excellent public transport system. Tokyo is a
1144
+
1145
+ 287
1146
+ 00:19:09,590 --> 00:19:10,210
1147
+ public city.
1148
+
1149
+ 288
1150
+ 00:19:13,480 --> 00:19:17,320
1151
+ The excellent public transportation system is the
1152
+
1153
+ 289
1154
+ 00:19:17,320 --> 00:19:23,560
1155
+ controlling idea. Tokyo is one of the world's most
1156
+
1157
+ 290
1158
+ 00:19:23,560 --> 00:19:28,880
1159
+ expensive cities. And controlling sentence is one
1160
+
1161
+ 291
1162
+ 00:19:28,880 --> 00:19:31,840
1163
+ of the world's most expensive cities. Very very
1164
+
1165
+ 292
1166
+ 00:19:31,840 --> 00:19:34,760
1167
+ good. So this is what we mean by a controlling
1168
+
1169
+ 293
1170
+ 00:19:34,760 --> 00:19:39,580
1171
+ idea and a topic for as the two parts of a good
1172
+
1173
+ 294
1174
+ 00:19:39,580 --> 00:19:44,480
1175
+ topic sentence.let's look again at your book
1176
+
1177
+ 295
1178
+ 00:19:44,480 --> 00:19:50,880
1179
+ textbook and exercise B all right let's decide
1180
+
1181
+ 296
1182
+ 00:19:50,880 --> 00:19:54,000
1183
+ just very quickly read these paragraphs and decide
1184
+
1185
+ 297
1186
+ 00:19:54,000 --> 00:19:57,400
1187
+ what is the best topic sentence for each one of
1188
+
1189
+ 298
1190
+ 00:19:57,400 --> 00:20:00,140
1191
+ these sentences these paragraphs
1192
+
1193
+ 299
1194
+ 00:21:47,710 --> 00:21:50,530
1195
+ All right okay all right let's see the first
1196
+
1197
+ 300
1198
+ 00:21:50,530 --> 00:21:53,210
1199
+ paragraph what is the best topic sentence for this
1200
+
1201
+ 301
1202
+ 00:21:53,210 --> 00:22:00,890
1203
+ paragraph living in
1204
+
1205
+ 302
1206
+ 00:22:00,890 --> 00:22:07,010
1207
+ a foreign country has four benefits because we can
1208
+
1209
+ 303
1210
+ 00:22:07,010 --> 00:22:09,890
1211
+ see first living in a foreign country has blah
1212
+
1213
+ 304
1214
+ 00:22:09,890 --> 00:22:13,350
1215
+ blah blah second third and four let's see the
1216
+
1217
+ 305
1218
+ 00:22:13,350 --> 00:22:15,650
1219
+ second paragraph what is the best topic sentence
1220
+
1221
+ 306
1222
+ 00:22:15,650 --> 00:22:16,110
1223
+ for it
1224
+
1225
+ 307
1226
+ 00:22:19,540 --> 00:22:25,240
1227
+ it's clearly .. yes there are two main types of
1228
+
1229
+ 308
1230
+ 00:22:25,240 --> 00:22:29,760
1231
+ the colleges and universities in the united states
1232
+
1233
+ 309
1234
+ 00:22:29,760 --> 00:22:34,010
1235
+ the third onethere are several reasons for
1236
+
1237
+ 310
1238
+ 00:22:34,010 --> 00:22:36,470
1239
+ attending a small college instead of a large
1240
+
1241
+ 311
1242
+ 00:22:36,470 --> 00:22:40,650
1243
+ university is that correct? yes there are very
1244
+
1245
+ 312
1246
+ 00:22:40,650 --> 00:22:44,910
1247
+ nice there are several reasons for attending a
1248
+
1249
+ 313
1250
+ 00:22:44,910 --> 00:22:48,470
1251
+ small college instead of a large university and
1252
+
1253
+ 314
1254
+ 00:22:48,470 --> 00:22:52,090
1255
+ the last paragraph is has the best topic sentence
1256
+
1257
+ 315
1258
+ 00:22:52,090 --> 00:22:52,630
1259
+ yes please
1260
+
1261
+ 316
1262
+ 00:22:56,140 --> 00:23:00,320
1263
+ ุงู„ุนู…ู„ุงุก ูŠุจุญุซูˆู† ุนู† ู…ู‚ุงู„ุงุช ูƒุจูŠุฑุฉ ุฃูˆ ุซู„ุงุซุฉ ู…ู‚ุงู„ุงุช
1264
+
1265
+ 317
1266
+ 00:23:00,320 --> 00:23:05,000
1267
+ ูƒุจูŠุฑุฉ ููŠ ุนู…ูŠู„ู‡ู… ุญุณู†ู‹ุงุŸ ุญุณู†ู‹ุงุŒ ุฏุนู†ุง ูู‚ุท ู†ุนูˆุฏ ุฅู„ู‰
1268
+
1269
+ 318
1270
+ 00:23:05,000 --> 00:23:13,000
1271
+ ู…ู‚ุฏู…ุฉ PowerPoint ูˆู†ู†ุธุฑ ุฅู„ู‰ ูƒุชุงุจุฉ ูƒู„ู…ุงุช ุฌูŠุฏุฉ ุนุงู…ู‹ุง
1272
+
1273
+ 319
1274
+ 00:23:13,000 --> 00:23:19,730
1275
+ ูƒู„ู…ุฉ ุฌูŠุฏุฉ ุฌูŠุฏุฉ ู‡ูŠexpresses an opinion not a fact
1276
+
1277
+ 320
1278
+ 00:23:19,730 --> 00:23:22,690
1279
+ okay so let's look at the first one my Arabic
1280
+
1281
+ 321
1282
+ 00:23:22,690 --> 00:23:27,250
1283
+ teacher is the best teacher in the world why is it
1284
+
1285
+ 322
1286
+ 00:23:27,250 --> 00:23:29,790
1287
+ a good topic sentence because it has an opinion it
1288
+
1289
+ 323
1290
+ 00:23:29,790 --> 00:23:33,750
1291
+ has something to say about my Arabic teacher so
1292
+
1293
+ 324
1294
+ 00:23:33,750 --> 00:23:36,510
1295
+ this is a kind of a good topic sentence that we
1296
+
1297
+ 325
1298
+ 00:23:36,510 --> 00:23:39,430
1299
+ expect I expect you to write so it's always
1300
+
1301
+ 326
1302
+ 00:23:39,430 --> 00:23:45,090
1303
+ expressesan opinion okay you have something to say
1304
+
1305
+ 327
1306
+ 00:23:45,090 --> 00:23:48,130
1307
+ about the topic you are writing about let's see
1308
+
1309
+ 328
1310
+ 00:23:48,130 --> 00:23:51,450
1311
+ the second one when I was a child I lived in a
1312
+
1313
+ 329
1314
+ 00:23:51,450 --> 00:23:55,090
1315
+ house that had a strange atmosphere what is the
1316
+
1317
+ 330
1318
+ 00:23:55,090 --> 00:23:57,130
1319
+ controlling idea in this sentence?
1320
+
1321
+ 331
1322
+ 00:24:00,160 --> 00:24:05,720
1323
+ the house that had a strange atmosphere this is
1324
+
1325
+ 332
1326
+ 00:24:05,720 --> 00:24:08,180
1327
+ what I will talk about this is my opinion about
1328
+
1329
+ 333
1330
+ 00:24:08,180 --> 00:24:13,780
1331
+ that time when I lived in that house okay ุณูุฑ ูˆุงุญุฏ
1332
+
1333
+ 334
1334
+ 00:24:13,780 --> 00:24:17,220
1335
+ there is a restaurant in our neighborhood that has
1336
+
1337
+ 335
1338
+ 00:24:17,220 --> 00:24:22,360
1339
+ the best pizza in townWhat is the controlling idea
1340
+
1341
+ 336
1342
+ 00:24:22,360 --> 00:24:27,660
1343
+ here? The restaurant that has the best pizza. The
1344
+
1345
+ 337
1346
+ 00:24:27,660 --> 00:24:30,080
1347
+ best pizza is the controlling idea. How this
1348
+
1349
+ 338
1350
+ 00:24:30,080 --> 00:24:33,400
1351
+ restaurant has the best pizza in our town. And
1352
+
1353
+ 339
1354
+ 00:24:33,400 --> 00:24:36,800
1355
+ potatoes are good for you. What is the controlling
1356
+
1357
+ 340
1358
+ 00:24:36,800 --> 00:24:41,780
1359
+ idea? They are good for you. So generally it is
1360
+
1361
+ 341
1362
+ 00:24:41,780 --> 00:24:44,580
1363
+ always good to write good topic sentences which
1364
+
1365
+ 342
1366
+ 00:24:44,580 --> 00:24:50,360
1367
+ haveุงู„ุจู†ูŠู† which have something to say about the
1368
+
1369
+ 343
1370
+ 00:24:50,360 --> 00:24:53,640
1371
+ topic whereas these ones are not really good topic
1372
+
1373
+ 344
1374
+ 00:24:53,640 --> 00:24:55,680
1375
+ sentences they are actually bad topic sentences
1376
+
1377
+ 345
1378
+ 00:24:55,680 --> 00:25:01,160
1379
+ because they either express too specific a fact or
1380
+
1381
+ 346
1382
+ 00:25:01,160 --> 00:25:05,140
1383
+ too general facts okay for example when I say I
1384
+
1385
+ 347
1386
+ 00:25:05,140 --> 00:25:10,800
1387
+ went to Australia in the spring of 2005it's not a
1388
+
1389
+ 348
1390
+ 00:25:10,800 --> 00:25:13,920
1391
+ good topic sentence why? it's too specific alright
1392
+
1393
+ 349
1394
+ 00:25:13,920 --> 00:25:17,960
1395
+ there isn't much that I can say about this and the
1396
+
1397
+ 350
1398
+ 00:25:17,960 --> 00:25:21,760
1399
+ same thing my friend is nice again it's too
1400
+
1401
+ 351
1402
+ 00:25:21,760 --> 00:25:25,280
1403
+ general alrightI can talk about so many things in
1404
+
1405
+ 352
1406
+ 00:25:25,280 --> 00:25:28,880
1407
+ it so the word nice is too general a word to be
1408
+
1409
+ 353
1410
+ 00:25:28,880 --> 00:25:33,800
1411
+ discussed in one paragraph for instance and the
1412
+
1413
+ 354
1414
+ 00:25:33,800 --> 00:25:37,440
1415
+ same thing I have a bedroom there isn't much that
1416
+
1417
+ 355
1418
+ 00:25:37,440 --> 00:25:40,460
1419
+ I can say about it there's too many things it's
1420
+
1421
+ 356
1422
+ 00:25:40,460 --> 00:25:44,020
1423
+ too general and again it's a fact all right so
1424
+
1425
+ 357
1426
+ 00:25:44,020 --> 00:25:46,440
1427
+ there isn't much that I can say about this and the
1428
+
1429
+ 358
1430
+ 00:25:46,440 --> 00:25:51,500
1431
+ same thingThe potato is a vegetable. So again this
1432
+
1433
+ 359
1434
+ 00:25:51,500 --> 00:25:54,820
1435
+ is a fact, a specific fact that isn't much that I
1436
+
1437
+ 360
1438
+ 00:25:54,820 --> 00:25:58,620
1439
+ can talk about. So whenever you write a topic
1440
+
1441
+ 361
1442
+ 00:25:58,620 --> 00:26:01,680
1443
+ sentence think about an opinion, something to say
1444
+
1445
+ 362
1446
+ 00:26:01,680 --> 00:26:07,700
1447
+ or something to tell the reader about.Now let's
1448
+
1449
+ 363
1450
+ 00:26:07,700 --> 00:26:11,840
1451
+ get into practicing topic sentences, writing topic
1452
+
1453
+ 364
1454
+ 00:26:11,840 --> 00:26:18,180
1455
+ sentences and it's new textbook page 42 exercise C
1456
+
1457
+ 365
1458
+ 00:26:18,180 --> 00:26:22,080
1459
+ Let's look at the first paragraph and try to read
1460
+
1461
+ 366
1462
+ 00:26:22,080 --> 00:26:25,200
1463
+ it quickly and write a good topic sentence for
1464
+
1465
+ 367
1466
+ 00:26:25,200 --> 00:26:26,740
1467
+ this paragraph
1468
+
1469
+ 368
1470
+ 00:26:35,970 --> 00:26:39,290
1471
+ ู…ู…ูƒู† ุงุทู„ุจ ู…ู†ูƒู… ุงู† ุชูƒุชุจูˆุง ุงู„ู…ู‚ุงู„ุงุช ุงู„ู…ูˆุฌูˆุฏุฉ ุนู„ู‰
1472
+
1473
+ 369
1474
+ 00:26:39,290 --> 00:26:39,890
1475
+ ุงู„ูƒุชุงุจุฉ ู‡ู†ุง
1476
+
1477
+ 370
1478
+ 00:27:46,670 --> 00:27:49,610
1479
+ ู…ุด ู…ู…ูƒู† ุฃุดูˆู
1480
+
1481
+ 371
1482
+ 00:28:14,860 --> 00:28:20,440
1483
+ who finished writing the topic sentences? yes
1484
+
1485
+ 372
1486
+ 00:28:20,440 --> 00:28:24,740
1487
+ please can you come forward please? who else? yes
1488
+
1489
+ 373
1490
+ 00:28:24,740 --> 00:28:33,080
1491
+ please let me see some
1492
+
1493
+ 374
1494
+ 00:28:33,080 --> 00:28:36,160
1495
+ examples of your writing please come forward
1496
+
1497
+ 375
1498
+ 00:28:55,090 --> 00:28:57,810
1499
+ just double check in the meantime double check on
1500
+
1501
+ 376
1502
+ 00:28:57,810 --> 00:29:01,150
1503
+ your first topic sentence check if it has a topic
1504
+
1505
+ 377
1506
+ 00:29:01,150 --> 00:29:05,590
1507
+ and a controlling idea is this a clear topic is
1508
+
1509
+ 378
1510
+ 00:29:05,590 --> 00:29:08,910
1511
+ there a clear topic and clear topic controlling
1512
+
1513
+ 379
1514
+ 00:29:08,910 --> 00:29:13,790
1515
+ idea thank
1516
+
1517
+ 380
1518
+ 00:29:13,790 --> 00:29:18,510
1519
+ you all right thank you thank you okay let's see
1520
+
1521
+ 381
1522
+ 00:29:18,510 --> 00:29:22,900
1523
+ all rightCurry ู„ุฏูŠู‡ ุซู„ุงุซ ุฃู„ูˆุงู† ุชุธู‡ุฑ ู„ุฌู…ุงุนุงุช
1524
+
1525
+ 382
1526
+ 00:29:22,900 --> 00:29:28,340
1527
+ ู…ุฎุชู„ูุฉุŒ ุญุณู†ุงุŸ ู…ุงุฐุง ุชุนุชู‚ุฏุŸ ู…ุงู‡ูˆ ุงู„ู…ูˆุถูˆุนุŸ ูƒูˆุฑูŠุŒ
1528
+
1529
+ 383
1530
+ 00:29:28,340 --> 00:29:33,300
1531
+ ุญุณู†ุงุŸ ุชุนุฑููŠู† ูƒูˆุฑูŠุŒ ุญุณู†ุงุŸ ุฅู†ู‡ ุทุนุงู… ุฌูŠุฏ ุฌุฏู‹ุง ูŠุฃุชูŠ ู…ุน
1532
+
1533
+ 384
1534
+ 00:29:33,300 --> 00:29:38,780
1535
+ ุทุนุงู… ู…ุฎุชู„ูุŒ ู„ุฏูŠู‡ ุซู„ุงุซ ุฃู„ูˆุงู† ุชุธู‡ุฑ ู„ุฌู…ุงุนุงุช ู…ุฎุชู„ูุฉุŒ
1536
+
1537
+ 385
1538
+ 00:29:38,780 --> 00:29:44,320
1539
+ ู‡ู„ ู‡ุฐุง ู…ูˆุถูˆุน ุฌูŠุฏ ุฃุญูŠุงู†ู‹ุงุŸbecause it talks about
1540
+
1541
+ 386
1542
+ 00:29:44,320 --> 00:29:49,560
1543
+ the three colors green yellow and three red green
1544
+
1545
+ 387
1546
+ 00:29:49,560 --> 00:29:53,840
1547
+ red and yellow curry with different taste all
1548
+
1549
+ 388
1550
+ 00:29:53,840 --> 00:29:56,180
1551
+ right very nice very nice let's see the second one
1552
+
1553
+ 389
1554
+ 00:29:56,180 --> 00:30:01,040
1555
+ curry has three colors that appeal to people's
1556
+
1557
+ 390
1558
+ 00:30:01,040 --> 00:30:06,160
1559
+ taste very nice but when you just to up up check
1560
+
1561
+ 391
1562
+ 00:30:06,160 --> 00:30:09,640
1563
+ that there is subject there agreement for instance
1564
+
1565
+ 392
1566
+ 00:30:09,640 --> 00:30:12,800
1567
+ curry has three colors that appeal not appeals
1568
+
1569
+ 393
1570
+ 00:30:25,230 --> 00:30:28,970
1571
+ all right there are any comment here again there
1572
+
1573
+ 394
1574
+ 00:30:28,970 --> 00:30:33,850
1575
+ are three types of the carry all right what was
1576
+
1577
+ 395
1578
+ 00:30:33,850 --> 00:30:38,010
1579
+ your what was your topic sentence yes can you just
1580
+
1581
+ 396
1582
+ 00:30:38,010 --> 00:30:39,970
1583
+ quickly read it for us please there are three
1584
+
1585
+ 397
1586
+ 00:30:39,970 --> 00:30:42,710
1587
+ known types of carry very nice there are three
1588
+
1589
+ 398
1590
+ 00:30:42,710 --> 00:30:47,270
1591
+ known types of carry what was your topic sentence
1592
+
1593
+ 399
1594
+ 00:30:47,270 --> 00:30:55,690
1595
+ carry has three types of carrywe can just write it
1596
+
1597
+ 400
1598
+ 00:30:55,690 --> 00:31:00,530
1599
+ here carry tons
1600
+
1601
+ 401
1602
+ 00:31:00,530 --> 00:31:08,670
1603
+ in three different colors
1604
+
1605
+ 402
1606
+ 00:31:08,670 --> 00:31:16,310
1607
+ or types depending on what you say that appeal to
1608
+
1609
+ 403
1610
+ 00:31:16,310 --> 00:31:21,870
1611
+ different tastes
1612
+
1613
+ 404
1614
+ 00:31:21,870 --> 00:31:23,890
1615
+ okay
1616
+
1617
+ 405
1618
+ 00:31:25,050 --> 00:31:29,410
1619
+ this book is the second paragraph in your textbook
1620
+
1621
+ 406
1622
+ 00:31:29,410 --> 00:31:33,670
1623
+ and try to write a topic sentence for it
1624
+
1625
+ 407
1626
+ 00:32:03,290 --> 00:32:03,870
1627
+ ุงู„ุนุฒูŠุฒูŠ
1628
+
1629
+ 408
1630
+ 00:33:04,520 --> 00:33:07,680
1631
+ All right. Who would like to write the topic
1632
+
1633
+ 409
1634
+ 00:33:07,680 --> 00:33:09,620
1635
+ sentence on the board? Yes please.
1636
+
1637
+ 410
1638
+ 00:33:12,560 --> 00:33:16,880
1639
+ And you too please very quickly. And yes Imam.
1640
+
1641
+ 411
1642
+ 00:34:04,880 --> 00:34:07,780
1643
+ very nice very nice let's just look at these three
1644
+
1645
+ 412
1646
+ 00:34:07,780 --> 00:34:11,880
1647
+ topic sentences there are many qualities should be
1648
+
1649
+ 413
1650
+ 00:34:11,880 --> 00:34:14,600
1651
+ in a good teacher do you have any comment? very
1652
+
1653
+ 414
1654
+ 00:34:14,600 --> 00:34:18,240
1655
+ nice do you have any comment? sorry there are many
1656
+
1657
+ 415
1658
+ 00:34:18,240 --> 00:34:22,900
1659
+ qualities ุจุณ we just need to add that we need a
1660
+
1661
+ 416
1662
+ 00:34:22,900 --> 00:34:28,570
1663
+ that close here that should beูˆ ู‡ุฐุง ูŠุฌุจ ุงู† ูŠูƒูˆู† ููŠ
1664
+
1665
+ 417
1666
+ 00:34:28,570 --> 00:34:33,830
1667
+ ุงูˆุถุฉ ุชุดูŠุฑ ุฌูŠุฏุฉ ุงูˆู„ุง ุฏุนูˆู†ุง ู†ุฑู‰ ุงู„ุซุงู†ูŠ ูˆู„ูƒู† ู‡ุฐุง ุงูˆุถุฉ
1668
+
1669
+ 418
1670
+ 00:34:33,830 --> 00:34:37,890
1671
+ ุฌูŠุฏุฉ ู„ุงู† ู…ูˆุถูˆุนู‡ุง ุงูˆุถุฉ ุฌูŠุฏุฉ ูˆุชุดูŠุฑ ุฌูŠุฏุฉ ูˆู…ูู‡ูˆู…ุฉ ู‡ูŠ
1672
+
1673
+ 419
1674
+ 00:34:37,890 --> 00:34:39,730
1675
+ ู…ุงู„ูŠ ูƒูˆุงู„ูŠุชูŠุฒ
1676
+
1677
+ 420
1678
+ 00:34:42,320 --> 00:34:47,420
1679
+ three three yes three words should be specific all
1680
+
1681
+ 421
1682
+ 00:34:47,420 --> 00:34:50,380
1683
+ right three qualities that should be in a good
1684
+
1685
+ 422
1686
+ 00:34:50,380 --> 00:34:53,300
1687
+ teacher the second one there are three important
1688
+
1689
+ 423
1690
+ 00:34:53,300 --> 00:34:56,460
1691
+ qualities that a good teacher should have is that
1692
+
1693
+ 424
1694
+ 00:34:56,460 --> 00:35:00,200
1695
+ right yes very nice very nicely written there are
1696
+
1697
+ 425
1698
+ 00:35:00,200 --> 00:35:03,440
1699
+ three qualities a good teacher must have is a very
1700
+
1701
+ 426
1702
+ 00:35:03,440 --> 00:35:07,820
1703
+ good topic sentence as well we can also write my
1704
+
1705
+ 427
1706
+ 00:35:07,820 --> 00:35:10,940
1707
+ own what about you what is your topic sentence
1708
+
1709
+ 428
1710
+ 00:35:13,930 --> 00:35:17,330
1711
+ excellent a good teacher must have three important
1712
+
1713
+ 429
1714
+ 00:35:17,330 --> 00:35:20,050
1715
+ or excellent qualities very nice what is your
1716
+
1717
+ 430
1718
+ 00:35:20,050 --> 00:35:25,870
1719
+ topic?must have or requires the three important
1720
+
1721
+ 431
1722
+ 00:35:25,870 --> 00:35:29,390
1723
+ qualities very nice being a good teacher requires
1724
+
1725
+ 432
1726
+ 00:35:29,390 --> 00:35:32,930
1727
+ the three important qualities characteristics for
1728
+
1729
+ 433
1730
+ 00:35:32,930 --> 00:35:35,470
1731
+ a good teacher very nice there are three good
1732
+
1733
+ 434
1734
+ 00:35:35,470 --> 00:35:38,790
1735
+ characteristics for a good teacher alright
1736
+
1737
+ 435
1738
+ 00:35:38,790 --> 00:35:42,390
1739
+ actually I was going to write this one as well a
1740
+
1741
+ 436
1742
+ 00:35:42,390 --> 00:35:47,130
1743
+ good teacher a good teacher requires
1744
+
1745
+ 437
1746
+ 00:35:54,290 --> 00:36:02,490
1747
+ having three essential qualities
1748
+
1749
+ 438
1750
+ 00:36:02,490 --> 00:36:07,630
1751
+ all rightุŸ so we have this topic and the
1752
+
1753
+ 439
1754
+ 00:36:07,630 --> 00:36:12,570
1755
+ controlling idea is the three inequalities a good
1756
+
1757
+ 440
1758
+ 00:36:12,570 --> 00:36:16,140
1759
+ teacher must haveู let's look at the third again
1760
+
1761
+ 441
1762
+ 00:36:16,140 --> 00:36:22,140
1763
+ the third paragraph and write down the controlling
1764
+
1765
+ 442
1766
+ 00:36:22,140 --> 00:36:24,740
1767
+ the public sentence for it
1768
+
1769
+ 443
1770
+ 00:37:03,090 --> 00:37:03,790
1771
+ ุฅู†ู‡ ุฌู…ูŠู„
1772
+
1773
+ 444
1774
+ 00:38:06,000 --> 00:38:10,480
1775
+ ุฃูˆู„ุงุฏุŸ ุชูƒุณูŠุŸ ู†ุนู… ู…ู…ูƒู† ุชู‚ูˆู„ูŠ ู…ุตุทู„ุญูƒุŸ ู„ุฃู† ุงู„ูˆู‚ุช ู‚ุงุฏุฑ
1776
+
1777
+ 445
1778
+ 00:38:10,480 --> 00:38:13,620
1779
+ ุนู„ู‰ ุงู„ุงู†ุชู‡ุงุก ู‡ู†ุงูƒ ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู‡ู†ุงูƒ ุซู„ุงุซ
1780
+
1781
+ 446
1782
+ 00:38:13,620 --> 00:38:20,740
1783
+ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ
1784
+
1785
+ 447
1786
+ 00:38:20,740 --> 00:38:25,440
1787
+ ู†ูˆุน ู…ู† ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน
1788
+
1789
+ 448
1790
+ 00:38:25,440 --> 00:38:27,480
1791
+ ู…ู† ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู†
1792
+
1793
+ 449
1794
+ 00:38:27,480 --> 00:38:28,860
1795
+ ุดุจุงุจ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจ
1796
+
1797
+ 450
1798
+ 00:38:28,860 --> 00:38:33,370
1799
+ ู†ุนู… ู†ุณุชุทูŠุน ุฃู† ุฃุนุฑู ุงู„ุดุจุงุจ ู…ู† ุซู„ุงุซ ู†ูˆุน ู…ู† ุดุจุงุจOkay
1800
+
1801
+ 451
1802
+ 00:38:33,370 --> 00:38:37,730
1803
+ shoppers come into three important categories or
1804
+
1805
+ 452
1806
+ 00:38:37,730 --> 00:38:40,450
1807
+ three important types very nice yes please
1808
+
1809
+ 453
1810
+ 00:38:40,450 --> 00:38:43,990
1811
+ shoppers can be divided into three types very nice
1812
+
1813
+ 454
1814
+ 00:38:43,990 --> 00:38:48,050
1815
+ shoppers can be divided into three types here you
1816
+
1817
+ 455
1818
+ 00:38:48,050 --> 00:38:52,110
1819
+ can say shoppers very nice very nice very good
1820
+
1821
+ 456
1822
+ 00:38:52,110 --> 00:38:59,430
1823
+ ideas topic sentences whole into three both
1824
+
1825
+ 457
1826
+ 00:39:00,590 --> 00:39:03,670
1827
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1828
+
1829
+ 458
1830
+ 00:39:03,670 --> 00:39:06,710
1831
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1832
+
1833
+ 459
1834
+ 00:39:06,710 --> 00:39:10,150
1835
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1836
+
1837
+ 460
1838
+ 00:39:10,150 --> 00:39:13,110
1839
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1840
+
1841
+ 461
1842
+ 00:39:13,110 --> 00:39:14,470
1843
+ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ
1844
+
1845
+ 462
1846
+ 00:39:14,470 --> 00:39:26,390
1847
+ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ ู…ุตุทู„ุญ ุงูˆ
1848
+
1849
+ 463
1850
+ 00:39:30,190 --> 00:39:34,090
1851
+ of these topics and write a topic sentence for
1852
+
1853
+ 464
1854
+ 00:39:34,090 --> 00:39:39,070
1855
+ each of these two choose two out of these five and
1856
+
1857
+ 465
1858
+ 00:39:39,070 --> 00:39:44,270
1859
+ write a topic sentence for each okay reading in a
1860
+
1861
+ 466
1862
+ 00:39:44,270 --> 00:39:50,070
1863
+ foreign language facebook university tests a job
1864
+
1865
+ 467
1866
+ 00:39:50,070 --> 00:39:54,770
1867
+ interview and the last one is divorce so choose
1868
+
1869
+ 468
1870
+ 00:39:54,770 --> 00:39:57,830
1871
+ any two of these five and write a topic sentence
1872
+
1873
+ 469
1874
+ 00:39:57,830 --> 00:39:58,550
1875
+ for each
1876
+
1877
+ 470
1878
+ 00:40:02,900 --> 00:40:05,100
1879
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1880
+
1881
+ 471
1882
+ 00:40:55,350 --> 00:41:00,020
1883
+ chose two pieces of pipetopics and write a topic
1884
+
1885
+ 472
1886
+ 00:41:00,020 --> 00:41:04,560
1887
+ sentence for each check on your subject verb
1888
+
1889
+ 473
1890
+ 00:41:04,560 --> 00:41:08,700
1891
+ agreement, check on your punctuation, full stop,
1892
+
1893
+ 474
1894
+ 00:41:08,840 --> 00:41:13,680
1895
+ capital letters and also your topic sentence must
1896
+
1897
+ 475
1898
+ 00:41:13,680 --> 00:41:18,760
1899
+ have a topic and a clear controlling idea and this
1900
+
1901
+ 476
1902
+ 00:41:18,760 --> 00:41:21,440
1903
+ controlling idea should be generally an opinion
1904
+
1905
+ 477
1906
+ 00:41:21,440 --> 00:41:25,060
1907
+ not a specific or a very general fact
1908
+
1909
+ 478
1910
+ 00:41:32,890 --> 00:41:38,510
1911
+ ู…ุงุฐุง ู†ูุนู„ุŸ ู†ู‚ูˆู… ุจุงุณุชุฎุฏุงู… ุงู„ู€
1912
+
1913
+ 479
1914
+ 00:41:50,930 --> 00:41:53,110
1915
+ All right who finished .. just keep on writing ..
1916
+
1917
+ 480
1918
+ 00:41:53,110 --> 00:41:56,190
1919
+ who finished the first .. choose anyone .. who
1920
+
1921
+ 481
1922
+ 00:41:56,190 --> 00:41:58,690
1923
+ finished writing the first topic sentence .. yes
1924
+
1925
+ 482
1926
+ 00:41:58,690 --> 00:42:01,030
1927
+ please .. can you come forward .. please .. yes
1928
+
1929
+ 483
1930
+ 00:42:01,030 --> 00:42:04,930
1931
+ please .. all right .. who finished the second or
1932
+
1933
+ 484
1934
+ 00:42:04,930 --> 00:42:07,910
1935
+ another topic sentence .. ah please come forward
1936
+
1937
+ 485
1938
+ 00:42:07,910 --> 00:42:12,130
1939
+ ..
1940
+
1941
+ 486
1942
+ 00:42:12,130 --> 00:42:15,050
1943
+ all right .. who would like to volunteer to come
1944
+
1945
+ 487
1946
+ 00:42:15,050 --> 00:42:19,170
1947
+ here and write the topic sentence .. yes please ..
1948
+
1949
+ 488
1950
+ 00:42:19,870 --> 00:42:25,250
1951
+ yes please come forward all
1952
+
1953
+ 489
1954
+ 00:42:25,250 --> 00:42:28,330
1955
+ right now have you finished writing your topic
1956
+
1957
+ 490
1958
+ 00:42:28,330 --> 00:42:31,090
1959
+ sentences? yes all right what I'd like you is to
1960
+
1961
+ 491
1962
+ 00:42:31,090 --> 00:42:35,910
1963
+ exchange your writing your topic sentences with
1964
+
1965
+ 492
1966
+ 00:42:35,910 --> 00:42:38,410
1967
+ the person with your classmate sitting next to you
1968
+
1969
+ 493
1970
+ 00:42:38,410 --> 00:42:43,410
1971
+ next to you all rightExchange your writings with
1972
+
1973
+ 494
1974
+ 00:42:43,410 --> 00:42:55,270
1975
+ the person sitting next to you and try
1976
+
1977
+ 495
1978
+ 00:42:55,270 --> 00:43:01,690
1979
+ to ..read her topic sentences and check for topic
1980
+
1981
+ 496
1982
+ 00:43:01,690 --> 00:43:05,090
1983
+ and controlling idea and check for other things
1984
+
1985
+ 497
1986
+ 00:43:05,090 --> 00:43:08,450
1987
+ like punctuation, capitalization, subject verb
1988
+
1989
+ 498
1990
+ 00:43:08,450 --> 00:43:09,850
1991
+ agreement and other things
1992
+
1993
+ 499
1994
+ 00:43:52,600 --> 00:44:02,730
1995
+ All right, fineูˆ ุฏุนูˆู†ุง ู†ู„ู‚ูŠ ู†ุธุฑุฉ ุนู„ู‰ ูƒู„ู…ุชูƒ ูˆ ุงุชุดูŠูƒ
1996
+
1997
+ 500
1998
+ 00:44:02,730 --> 00:44:11,070
1999
+ ู„ู„ู…ูˆุถูˆุน ูˆ ุงู„ู…ูู‡ูˆู… ูˆ ุงุฐุง ูƒุงู†ุช ุงู„ุฃููƒุงุฑ ุตุญูŠุญุฉ ูˆ ุตุญูŠุญุฉ
2000
+
2001
+ 501
2002
+ 00:44:11,070 --> 00:44:15,790
2003
+ ุฌุฏุง ุฏุนูˆู†ุง ู†ู‚ุฑุฃ ุฃูˆู„ุง ูˆ ุฅุฐุง ูƒุง๏ฟฝ๏ฟฝ ู„ุฏูŠูƒ ุฃูŠ ุชุนู„ูŠู‚ ูุฏุนูˆู†ุง
2004
+
2005
+ 502
2006
+ 00:44:15,790 --> 00:44:21,410
2007
+ ู†ุนุฑู ุนู†ู‡ ู‡ู†ุงูƒ ุงู„ูƒุซูŠุฑ ู…ู† ุงู„ุตุนูˆุจุงุช ุงู„ุชูŠ ูŠุฌุจ ุฃู† ูŠุชุนู„ู…
2008
+
2009
+ 503
2010
+ 00:44:21,410 --> 00:44:22,670
2011
+ ุงู„ุทู„ุงุจ ููŠ ู„ุบุฉ ุบูŠุฑ ุฃู…ุฑูŠูƒูŠุฉ
2012
+
2013
+ 504
2014
+ 00:44:28,100 --> 00:44:31,180
2015
+ or learning or reading how to read to read not
2016
+
2017
+ 505
2018
+ 00:44:31,180 --> 00:44:34,500
2019
+ teach all right to teach to read in a foreign
2020
+
2021
+ 506
2022
+ 00:44:34,500 --> 00:44:36,660
2023
+ language this is the topic what is the controlling
2024
+
2025
+ 507
2026
+ 00:44:36,660 --> 00:44:41,220
2027
+ idea is there a clear controlling idea here yes
2028
+
2029
+ 508
2030
+ 00:44:41,220 --> 00:44:43,760
2031
+ the difficulties there are many difficulties in
2032
+
2033
+ 509
2034
+ 00:44:43,760 --> 00:44:47,200
2035
+ reading or to read in a foreign language very nice
2036
+
2037
+ 510
2038
+ 00:44:47,200 --> 00:44:50,960
2039
+ but we can just double check difficulties okay
2040
+
2041
+ 511
2042
+ 00:44:50,960 --> 00:44:56,780
2043
+ that the studentI told you about subject-verb
2044
+
2045
+ 512
2046
+ 00:44:56,780 --> 00:45:03,880
2047
+ agreement the student has to in reading in reading
2048
+
2049
+ 513
2050
+ 00:45:03,880 --> 00:45:08,700
2051
+ in a foreign language now this is a clear topic
2052
+
2053
+ 514
2054
+ 00:45:08,700 --> 00:45:12,600
2055
+ sentence very good on you divorce that turns up an
2056
+
2057
+ 515
2058
+ 00:45:12,600 --> 00:45:16,060
2059
+ effect that follows a divorce what do you think
2060
+
2061
+ 516
2062
+ 00:45:16,060 --> 00:45:21,740
2063
+ here?is this a good topic sentenceุŸ well generally
2064
+
2065
+ 517
2066
+ 00:45:21,740 --> 00:45:24,920
2067
+ it is okay but is this a sentence in the first
2068
+
2069
+ 518
2070
+ 00:45:24,920 --> 00:45:28,680
2071
+ placeุŸ is this a sentenceุŸ I don't think soุŒ I
2072
+
2073
+ 519
2074
+ 00:45:28,680 --> 00:45:30,420
2075
+ don't think that this is a sentenceุŒ this is more
2076
+
2077
+ 520
2078
+ 00:45:30,420 --> 00:45:34,910
2079
+ of a titlenot a clear topic sentence remember a
2080
+
2081
+ 521
2082
+ 00:45:34,910 --> 00:45:37,810
2083
+ topic sentence is a sentence in the first place
2084
+
2085
+ 522
2086
+ 00:45:37,810 --> 00:45:40,970
2087
+ that is to say it must have a subject and a verb a
2088
+
2089
+ 523
2090
+ 00:45:40,970 --> 00:45:44,230
2091
+ clear subject verb relationship so we have to
2092
+
2093
+ 524
2094
+ 00:45:44,230 --> 00:45:49,010
2095
+ rewrite it in different ways we can say divorce
2096
+
2097
+ 525
2098
+ 00:45:49,010 --> 00:46:01,820
2099
+ has or needs two serious social problems okayุงู„ุงู†
2100
+
2101
+ 526
2102
+ 00:46:01,820 --> 00:46:06,900
2103
+ ู„ุฏูŠ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ุตุญูŠุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2104
+
2105
+ 527
2106
+ 00:46:06,900 --> 00:46:10,340
2107
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2108
+
2109
+ 528
2110
+ 00:46:10,340 --> 00:46:11,720
2111
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2112
+
2113
+ 529
2114
+ 00:46:11,720 --> 00:46:11,900
2115
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2116
+
2117
+ 530
2118
+ 00:46:11,900 --> 00:46:12,200
2119
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ
2120
+
2121
+ 531
2122
+ 00:46:12,200 --> 00:46:29,880
2123
+ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุตุทู„ุญ ู…ุต
2124
+
2125
+ 532
2126
+ 00:46:30,970 --> 00:46:35,190
2127
+ is very important to clarify the stereotypes about
2128
+
2129
+ 533
2130
+ 00:46:35,190 --> 00:46:39,090
2131
+ our issues all over our issue all over the world
2132
+
2133
+ 534
2134
+ 00:46:39,090 --> 00:46:42,710
2135
+ okay is this a good topic sentence yes more or
2136
+
2137
+ 535
2138
+ 00:46:42,710 --> 00:46:45,610
2139
+ less but we just need to double check on
2140
+
2141
+ 536
2142
+ 00:46:45,610 --> 00:46:50,470
2143
+ punctuation capital letter facebook okay one word
2144
+
2145
+ 537
2146
+ 00:46:50,470 --> 00:46:55,630
2147
+ is important to clarify the stereotype not the
2148
+
2149
+ 538
2150
+ 00:46:55,630 --> 00:46:58,010
2151
+ stereotype stereotype okay
2152
+
2153
+ 539
2154
+ 00:47:02,300 --> 00:47:12,220
2155
+ ุฃูˆ ุงุดูƒุงู„ู†ุง ููŠ ุงู„ุนุงู„ู… ุชู…ุงู…ุŸ ู†ุนู… ูˆ ู†ุณุชุทูŠุน ู†ูƒุชุจ ูƒุซูŠุฑ
2156
+
2157
+ 540
2158
+ 00:47:12,220 --> 00:47:16,980
2159
+ ู…ู† ุงู„ุฃุณู„ุญุฉ ู…ุซู„ ู‡ุฐู‡ ููŠ ูƒุชุงุจุชูƒ ุณู†ู†ุชู‡ูŠ ู…ู† ู‡ุฐุง ููŠ
2160
+
2161
+ 541
2162
+ 00:47:16,980 --> 00:47:23,640
2163
+ ูƒุชุงุจุชูƒ ุนู„ู‰ ู…ูƒุชุจุฉ 43 ู†ุญู† ู„ุฏูŠู†ุง 6 ุฃุณู„ุญุฉ ู…ุง ุฃูˆุฏ ุฃู†
2164
+
2165
+ 542
2166
+ 00:47:23,640 --> 00:47:26,880
2167
+ ุชูุนู„ู‡ ููŠ ุงู„ู…ู†ุฒู„ ููŠ ุงู„ู…ู†ุฒู„ ูƒุนู…ู„ ุนุงู… ู‡ูˆ ุฃู† ุชูƒุชุจ
2168
+
2169
+ 543
2170
+ 00:47:26,880 --> 00:47:33,310
2171
+ ุฃุณู„ุญุฉ ู„ูƒู„ ูˆุงุญุฏof these six topics all rightุŸ all
2172
+
2173
+ 544
2174
+ 00:47:33,310 --> 00:47:35,490
2175
+ right and next time inshallah we'll practice
2176
+
2177
+ 545
2178
+ 00:47:35,490 --> 00:47:38,610
2179
+ writing more and more topic sentences topic
2180
+
2181
+ 546
2182
+ 00:47:38,610 --> 00:47:40,870
2183
+ sentences thank you very much and see you next
2184
+
2185
+ 547
2186
+ 00:47:40,870 --> 00:47:42,130
2187
+ time inshallah thank you
2188
+
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1
+ 1
2
+ 00:00:20,690 --> 00:00:23,110
3
+ All right ุงู„ุณู„ุงู… ุนู„ูŠูƒู… good morning how are you
4
+
5
+ 2
6
+ 00:00:23,110 --> 00:00:26,090
7
+ today? very good very good all right today we're
8
+
9
+ 3
10
+ 00:00:26,090 --> 00:00:29,330
11
+ looking at an important topic in writing in
12
+
13
+ 4
14
+ 00:00:29,330 --> 00:00:31,610
15
+ academic writing and this has to do with
16
+
17
+ 5
18
+ 00:00:31,610 --> 00:00:37,310
19
+ punctuation or correctly punctuate your sentences
20
+
21
+ 6
22
+ 00:00:37,310 --> 00:00:40,700
23
+ so as you knowPunctuation is very important, it is
24
+
25
+ 7
26
+ 00:00:40,700 --> 00:00:46,000
27
+ like a sign post, it is like traffic lights, every
28
+
29
+ 8
30
+ 00:00:46,000 --> 00:00:48,900
31
+ punctuation for example a comma or a colon or a
32
+
33
+ 9
34
+ 00:00:48,900 --> 00:00:52,760
35
+ semicolon has or sends the reader a message that
36
+
37
+ 10
38
+ 00:00:52,760 --> 00:00:55,600
39
+ this is something that we need to stop, it is
40
+
41
+ 11
42
+ 00:00:55,600 --> 00:00:58,380
43
+ something to introduce somethingor to pause
44
+
45
+ 12
46
+ 00:00:58,380 --> 00:01:01,680
47
+ momentarily for something else and so on so
48
+
49
+ 13
50
+ 00:01:01,680 --> 00:01:05,800
51
+ punctuation in general is very important and today
52
+
53
+ 14
54
+ 00:01:05,800 --> 00:01:09,760
55
+ we're looking at rules for using commas, rules for
56
+
57
+ 15
58
+ 00:01:09,760 --> 00:01:14,000
59
+ using colon and rules for using semicolon first
60
+
61
+ 16
62
+ 00:01:14,000 --> 00:01:16,980
63
+ when do I use a comma?
64
+
65
+ 17
66
+ 00:01:19,360 --> 00:01:23,940
67
+ What are the different uses of ูƒูู…ูŽูƒุŸ After
68
+
69
+ 18
70
+ 00:01:23,940 --> 00:01:29,300
71
+ introductory words for example another thing is
72
+
73
+ 19
74
+ 00:01:29,300 --> 00:01:33,700
75
+ before we talked about this is before compound
76
+
77
+ 20
78
+ 00:01:33,700 --> 00:01:37,840
79
+ sentences joining two sentences two independent
80
+
81
+ 21
82
+ 00:01:37,840 --> 00:01:40,340
83
+ clauses very nice so let's very quickly go over
84
+
85
+ 22
86
+ 00:01:40,340 --> 00:01:44,670
87
+ them and do some exercises on this topicthe first
88
+
89
+ 23
90
+ 00:01:44,670 --> 00:01:48,790
91
+ thing is using the comma after introductory words
92
+
93
+ 24
94
+ 00:01:48,790 --> 00:01:52,510
95
+ or after introductory phrases for instance during
96
+
97
+ 25
98
+ 00:01:52,510 --> 00:01:59,110
99
+ the summer of 1999 ูƒู…ุง we visited Spain or we can
100
+
101
+ 26
102
+ 00:01:59,110 --> 00:02:04,790
103
+ say unfortunately ูƒู…ุง we did not speak Spanish or
104
+
105
+ 27
106
+ 00:02:04,790 --> 00:02:09,550
107
+ finally ูƒู…ุง we arrived at our hotel so after
108
+
109
+ 28
110
+ 00:02:09,550 --> 00:02:14,390
111
+ introductory wordsintroductory phrases were
112
+
113
+ 29
114
+ 00:02:14,390 --> 00:02:17,770
115
+ signals such as time signals for example or
116
+
117
+ 30
118
+ 00:02:17,770 --> 00:02:21,530
119
+ listing signals first second third in addition
120
+
121
+ 31
122
+ 00:02:21,530 --> 00:02:24,770
123
+ moreover these ones we use a comma immediately
124
+
125
+ 32
126
+ 00:02:24,770 --> 00:02:29,270
127
+ after this word or this phrase the second rule is
128
+
129
+ 33
130
+ 00:02:29,270 --> 00:02:33,010
131
+ something we talked about before which is before
132
+
133
+ 34
134
+ 00:02:33,010 --> 00:02:35,970
135
+ coordinating conjunctions these fanboys we talked
136
+
137
+ 35
138
+ 00:02:35,970 --> 00:02:39,030
139
+ about this we are bring we are bringing sandwiches
140
+
141
+ 36
142
+ 00:02:39,970 --> 00:02:44,730
143
+ comma and Tom is bringing soft drinks to the
144
+
145
+ 37
146
+ 00:02:44,730 --> 00:02:47,910
147
+ picnic or another example we don't need to bring
148
+
149
+ 38
150
+ 00:02:47,910 --> 00:02:53,490
151
+ raincoats comma for the sun is shining brightly so
152
+
153
+ 39
154
+ 00:02:53,490 --> 00:02:57,710
155
+ after or before sorry fanboys coordinating
156
+
157
+ 40
158
+ 00:02:57,710 --> 00:03:02,170
159
+ conjunctions we use a comma a third tool for using
160
+
161
+ 41
162
+ 00:03:02,170 --> 00:03:06,260
163
+ comma is thatwe use it after a dependent clause
164
+
165
+ 42
166
+ 00:03:06,260 --> 00:03:09,880
167
+ for instance when they begin a sentence for
168
+
169
+ 43
170
+ 00:03:09,880 --> 00:03:15,940
171
+ example although I was sick, I went to my classes
172
+
173
+ 44
174
+ 00:03:15,940 --> 00:03:20,560
175
+ or because it was raining, the game was chess so
176
+
177
+ 45
178
+ 00:03:20,560 --> 00:03:25,020
179
+ after dependent clause we use when they begin a
180
+
181
+ 46
182
+ 00:03:25,020 --> 00:03:29,360
183
+ sentence and number fourand this is something new
184
+
185
+ 47
186
+ 00:03:29,360 --> 00:03:33,540
187
+ to separate certain phrases from the rest of the
188
+
189
+ 48
190
+ 00:03:33,540 --> 00:03:36,600
191
+ sentence that is to say if there is some extra
192
+
193
+ 49
194
+ 00:03:36,600 --> 00:03:40,300
195
+ information we sort of separate it from the rest
196
+
197
+ 50
198
+ 00:03:40,300 --> 00:03:43,820
199
+ of the sentence by using a comma at the beginning
200
+
201
+ 51
202
+ 00:03:43,820 --> 00:03:47,720
203
+ and comma at the end of this extra information for
204
+
205
+ 52
206
+ 00:03:47,720 --> 00:03:52,370
207
+ example let's look at this example malariaonce a
208
+
209
+ 53
210
+ 00:03:52,370 --> 00:03:55,590
211
+ widespread disease ูƒู…ู‡ ูƒู…ู‡ this is we consider it
212
+
213
+ 54
214
+ 00:03:55,590 --> 00:03:58,890
215
+ as a extra information so we sort of separate it
216
+
217
+ 55
218
+ 00:03:58,890 --> 00:04:03,850
219
+ from there is a sentence by ูƒู…ู‡ or Mr. Obamathis
220
+
221
+ 56
222
+ 00:04:03,850 --> 00:04:07,270
223
+ is something called a positive or sort of extra
224
+
225
+ 57
226
+ 00:04:07,270 --> 00:04:11,930
227
+ information we put it between commas or the amazon
228
+
229
+ 58
230
+ 00:04:11,930 --> 00:04:17,810
231
+ the second largest slur is four thousand mile long
232
+
233
+ 59
234
+ 00:04:17,810 --> 00:04:20,530
235
+ so this is considered extra information so we sort
236
+
237
+ 60
238
+ 00:04:20,530 --> 00:04:23,030
239
+ of separate it from the rest of the sentence by
240
+
241
+ 61
242
+ 00:04:23,030 --> 00:04:26,650
243
+ using a comma number five is something similar
244
+
245
+ 62
246
+ 00:04:26,650 --> 00:04:30,890
247
+ which isto separate extra information adjectives
248
+
249
+ 63
250
+ 00:04:30,890 --> 00:04:35,850
251
+ clauses for example the Nile which is the longest
252
+
253
+ 64
254
+ 00:04:35,850 --> 00:04:40,290
255
+ river in the world ูƒู…ู‡ ูƒู…ู‡ is four thousand one
256
+
257
+ 65
258
+ 00:04:40,290 --> 00:04:43,250
259
+ hundred and sixty miles long notice that this is
260
+
261
+ 66
262
+ 00:04:43,250 --> 00:04:46,730
263
+ we consider it an adjective clause but sort of not
264
+
265
+ 67
266
+ 00:04:46,730 --> 00:04:49,590
267
+ necessary okay we'll talk about it later that is
268
+
269
+ 68
270
+ 00:04:49,590 --> 00:04:52,850
271
+ sort of called non-restrictive non-defining clause
272
+
273
+ 69
274
+ 00:04:52,850 --> 00:04:58,350
275
+ we use a ูƒู…ู‡ to separate it fromthe main sentence
276
+
277
+ 70
278
+ 00:04:58,350 --> 00:05:03,970
279
+ or we can say my new computer which I bought
280
+
281
+ 71
282
+ 00:05:03,970 --> 00:05:09,110
283
+ yesterday stopped working today so adjective close
284
+
285
+ 72
286
+ 00:05:09,110 --> 00:05:12,010
287
+ is considered extra information that is to say non
288
+
289
+ 73
290
+ 00:05:12,010 --> 00:05:15,740
291
+ essential information to the sentenceWe sorrow
292
+
293
+ 74
294
+ 00:05:15,740 --> 00:05:20,620
295
+ separated by using commas. All right? And finally,
296
+
297
+ 75
298
+ 00:05:20,720 --> 00:05:23,320
299
+ this is something that I'm sure that you will know
300
+
301
+ 76
302
+ 00:05:23,320 --> 00:05:27,280
303
+ to separate elements in a series of things, okay?
304
+
305
+ 77
306
+ 00:05:27,380 --> 00:05:29,720
307
+ In a list of things. When we are listing a number
308
+
309
+ 78
310
+ 00:05:29,720 --> 00:05:33,440
311
+ of things, we separate each one of these items by
312
+
313
+ 79
314
+ 00:05:33,440 --> 00:05:37,340
315
+ using a comma. For example, the English professor
316
+
317
+ 80
318
+ 00:05:37,340 --> 00:05:43,120
319
+ adjusted her glasses, arranged her notes,grated
320
+
321
+ 81
322
+ 00:05:43,120 --> 00:05:47,580
323
+ the students comma and began her lecture or the
324
+
325
+ 82
326
+ 00:05:47,580 --> 00:05:51,600
327
+ other way her room was spooky cold comma cold
328
+
329
+ 83
330
+ 00:05:51,600 --> 00:05:57,290
331
+ comma dark comma and so these arewe separate the
332
+
333
+ 84
334
+ 00:05:57,290 --> 00:06:01,570
335
+ elements in a series with using a comma before
336
+
337
+ 85
338
+ 00:06:01,570 --> 00:06:05,210
339
+ each one of these items this is clearุŸ so we have
340
+
341
+ 86
342
+ 00:06:05,210 --> 00:06:08,430
343
+ six rules generally very important six rules that
344
+
345
+ 87
346
+ 00:06:08,430 --> 00:06:12,350
347
+ we can use to for using commas in other words for
348
+
349
+ 88
350
+ 00:06:12,350 --> 00:06:15,770
351
+ example after introductory words before fanboys
352
+
353
+ 89
354
+ 00:06:15,770 --> 00:06:19,330
355
+ coordinating conjunctions after dependent clause
356
+
357
+ 90
358
+ 00:06:19,330 --> 00:06:22,710
359
+ to separate extra informationto separate
360
+
361
+ 91
362
+ 00:06:22,710 --> 00:06:25,250
363
+ adjectives if you close extra information and
364
+
365
+ 92
366
+ 00:06:25,250 --> 00:06:29,150
367
+ finally number six to separate elements in a
368
+
369
+ 93
370
+ 00:06:29,150 --> 00:06:32,210
371
+ series okay is this clear all right let's apply
372
+
373
+ 94
374
+ 00:06:32,210 --> 00:06:36,130
375
+ these six rules to these sentences just consider
376
+
377
+ 95
378
+ 00:06:36,130 --> 00:06:40,430
379
+ these ones and try to know where or to use commas
380
+
381
+ 96
382
+ 00:06:40,430 --> 00:06:44,110
383
+ where necessary all right just very quickly read
384
+
385
+ 97
386
+ 00:06:44,110 --> 00:06:47,270
387
+ one these ones and use commas where necessary
388
+
389
+ 98
390
+ 00:07:47,440 --> 00:07:50,420
391
+ All right. Let's see the first one. Yes please
392
+
393
+ 99
394
+ 00:07:50,420 --> 00:07:54,180
395
+ here. Oil which is lighter than water rises to the
396
+
397
+ 100
398
+ 00:07:54,180 --> 00:07:57,140
399
+ surface which is lighter than water. Very nice.
400
+
401
+ 101
402
+ 00:07:57,220 --> 00:08:01,840
403
+ Oil which is lighter than water rises to the
404
+
405
+ 102
406
+ 00:08:01,840 --> 00:08:04,280
407
+ surface. All right. So this is sort of extra
408
+
409
+ 103
410
+ 00:08:04,280 --> 00:08:06,580
411
+ information adjectively closed non-essential
412
+
413
+ 104
414
+ 00:08:06,580 --> 00:08:09,920
415
+ information and therefore we separated it from the
416
+
417
+ 105
418
+ 00:08:09,920 --> 00:08:12,300
419
+ rest of the sentence by using commas. Yes please
420
+
421
+ 106
422
+ 00:08:12,300 --> 00:08:17,350
423
+ number two.and some of them are the .. very nice
424
+
425
+ 107
426
+ 00:08:17,350 --> 00:08:19,850
427
+ and some of them .. why did you use a comma here
428
+
429
+ 108
430
+ 00:08:19,850 --> 00:08:22,790
431
+ before and? conjunction it's a coordinating
432
+
433
+ 109
434
+ 00:08:22,790 --> 00:08:25,250
435
+ conjunctions one of the fanboys we have an
436
+
437
+ 110
438
+ 00:08:25,250 --> 00:08:28,230
439
+ independent clause and another independent clause
440
+
441
+ 111
442
+ 00:08:28,230 --> 00:08:31,590
443
+ and we use a comma before them number three after
444
+
445
+ 112
446
+ 00:08:31,590 --> 00:08:36,410
447
+ surviving this hardship my friend felt very nice
448
+
449
+ 113
450
+ 00:08:36,410 --> 00:08:41,030
451
+ so after surviving this hardship my friend felt
452
+
453
+ 114
454
+ 00:08:41,710 --> 00:08:44,250
455
+ release preferred relieved all right so again we
456
+
457
+ 115
458
+ 00:08:44,250 --> 00:08:46,970
459
+ have a dependent clause and a private dependent
460
+
461
+ 116
462
+ 00:08:46,970 --> 00:08:49,870
463
+ clause and then we have a comma at the end of this
464
+
465
+ 117
466
+ 00:08:49,870 --> 00:08:53,550
467
+ dependent clause number four grammar yes please
468
+
469
+ 118
470
+ 00:08:53,550 --> 00:08:57,090
471
+ millions
472
+
473
+ 119
474
+ 00:08:57,090 --> 00:09:01,910
475
+ of copies very
476
+
477
+ 120
478
+ 00:09:01,910 --> 00:09:07,390
479
+ nice so we have Venice why is itthis because it's
480
+
481
+ 121
482
+ 00:09:07,390 --> 00:09:10,690
483
+ considered sort of an extra information and
484
+
485
+ 122
486
+ 00:09:10,690 --> 00:09:13,450
487
+ therefore we separated it from the main clause the
488
+
489
+ 123
490
+ 00:09:13,450 --> 00:09:18,390
491
+ main sentence is lama sold or has sold millions of
492
+
493
+ 124
494
+ 00:09:18,390 --> 00:09:22,030
495
+ copies all right number five number five yes
496
+
497
+ 125
498
+ 00:09:22,030 --> 00:09:26,850
499
+ please mr and mrs ali my parents best friends sat
500
+
501
+ 126
502
+ 00:09:26,850 --> 00:09:31,690
503
+ in front of us at the football game my parents
504
+
505
+ 127
506
+ 00:09:31,690 --> 00:09:36,330
507
+ best friendsvery nice so mr and mrs ali my parents
508
+
509
+ 128
510
+ 00:09:36,330 --> 00:09:40,190
511
+ best friends again this is extra information and
512
+
513
+ 129
514
+ 00:09:40,190 --> 00:09:42,550
515
+ therefore we separated it from the rest of the
516
+
517
+ 130
518
+ 00:09:42,550 --> 00:09:44,930
519
+ sentence let's continue the rest of these
520
+
521
+ 131
522
+ 00:09:44,930 --> 00:09:51,730
523
+ sentences and try to put commas where necessary
524
+
525
+ 132
526
+ 00:09:51,730 --> 00:09:52,890
527
+ yes please
528
+
529
+ 133
530
+ 00:10:16,580 --> 00:10:17,560
531
+ ู…ุงุฐุง ู‚ู„ุช ู„ูƒุŸ
532
+
533
+ 134
534
+ 00:11:19,470 --> 00:11:26,730
535
+ all right okay yes please number six ูƒู…ุง
536
+
537
+ 135
538
+ 00:11:26,730 --> 00:11:32,190
539
+ very nice to get tickets for this movie you have
540
+
541
+ 136
542
+ 00:11:32,190 --> 00:11:35,090
543
+ to order three months in advance this is sort of
544
+
545
+ 137
546
+ 00:11:35,090 --> 00:11:38,350
547
+ an introductory phrase an introductory infinitive
548
+
549
+ 138
550
+ 00:11:38,350 --> 00:11:40,690
551
+ phrase and therefore we use the comma yes please
552
+
553
+ 139
554
+ 00:11:41,220 --> 00:11:44,780
555
+ Chris didn't see how he could organize write ูƒู†ุง
556
+
557
+ 140
558
+ 00:11:44,780 --> 00:11:50,140
559
+ and he did his paper in only two hours so very
560
+
561
+ 141
562
+ 00:11:50,140 --> 00:11:50,420
563
+ nice
564
+
565
+ 142
566
+ 00:11:58,380 --> 00:12:02,040
567
+ edit this paper so we have a list of items and
568
+
569
+ 143
570
+ 00:12:02,040 --> 00:12:05,200
571
+ therefore we separated them by using commas
572
+
573
+ 144
574
+ 00:12:05,200 --> 00:12:08,980
575
+ dolphin island located off the coast of Alabama is
576
+
577
+ 145
578
+ 00:12:08,980 --> 00:12:14,500
579
+ a favorite spot for fishing very nice located off
580
+
581
+ 146
582
+ 00:12:14,500 --> 00:12:20,480
583
+ the coast of Alabama dolphin island located off
584
+
585
+ 147
586
+ 00:12:20,480 --> 00:12:23,930
587
+ the coast of AlabamaSo this is sort of extra
588
+
589
+ 148
590
+ 00:12:23,930 --> 00:12:27,270
591
+ information. It's a good spot, it's a favorite
592
+
593
+ 149
594
+ 00:12:27,270 --> 00:12:31,790
595
+ spot for fishing. Okay? So extra information. Yes
596
+
597
+ 150
598
+ 00:12:31,790 --> 00:12:33,890
599
+ please. Mark Adam, my cousin, hopes to graduate
600
+
601
+ 151
602
+ 00:12:33,890 --> 00:12:37,090
603
+ from law school in two years. My cousin. My
604
+
605
+ 152
606
+ 00:12:37,090 --> 00:12:41,470
607
+ cousin. So Mark Adam, my cousin. All right? Again,
608
+
609
+ 153
610
+ 00:12:41,730 --> 00:12:44,250
611
+ extra information. And finally, please. There are
612
+
613
+ 154
614
+ 00:12:44,250 --> 00:12:48,510
615
+ six headed jam, cauliflower, and camisole. Sugar.
616
+
617
+ 155
618
+ 00:12:49,150 --> 00:12:51,790
619
+ Very nice. So the recipe needed jam.
620
+
621
+ 156
622
+ 00:12:57,700 --> 00:13:02,260
623
+ and baking powder so we have a list of things a
624
+
625
+ 157
626
+ 00:13:02,260 --> 00:13:05,520
627
+ list of items and therefore we use commas for them
628
+
629
+ 158
630
+ 00:13:05,520 --> 00:13:09,960
631
+ all right very nice so now let's look at using
632
+
633
+ 159
634
+ 00:13:09,960 --> 00:13:15,840
635
+ columns when do I use a column all right it's very
636
+
637
+ 160
638
+ 00:13:15,840 --> 00:13:19,360
639
+ common to use columns but sometimes people don't
640
+
641
+ 161
642
+ 00:13:19,360 --> 00:13:24,330
643
+ know how towhen or how to use or when to use a
644
+
645
+ 162
646
+ 00:13:24,330 --> 00:13:26,830
647
+ colon there are two simple rules that we need to
648
+
649
+ 163
650
+ 00:13:26,830 --> 00:13:30,470
651
+ remember whenever we use a colon all right a colon
652
+
653
+ 164
654
+ 00:13:30,470 --> 00:13:34,650
655
+ is often used to introduce to introduce a list of
656
+
657
+ 165
658
+ 00:13:34,650 --> 00:13:39,250
659
+ items so this is the first common use of the colon
660
+
661
+ 166
662
+ 00:13:39,250 --> 00:13:43,810
663
+ so is to introduce a list of items for example you
664
+
665
+ 167
666
+ 00:13:43,810 --> 00:13:47,990
667
+ will need to bring three things to the party colon
668
+
669
+ 168
670
+ 00:13:49,670 --> 00:13:53,030
671
+ what do I need to bring some food something to
672
+
673
+ 169
674
+ 00:13:53,030 --> 00:13:56,530
675
+ drink and a small gift for the hostess here I use
676
+
677
+ 170
678
+ 00:13:56,530 --> 00:14:01,070
679
+ the colon to introduce a list of items okay for
680
+
681
+ 171
682
+ 00:14:01,070 --> 00:14:05,330
683
+ example a second sentence in the bag with the
684
+
685
+ 172
686
+ 00:14:05,330 --> 00:14:09,570
687
+ following colon so here I'm again introducing a
688
+
689
+ 173
690
+ 00:14:09,570 --> 00:14:13,710
691
+ list of things all right scissors a hairbrush and
692
+
693
+ 174
694
+ 00:14:13,710 --> 00:14:17,230
695
+ her address book all right and a third example
696
+
697
+ 175
698
+ 00:14:18,430 --> 00:14:23,090
699
+ these are my favorite breakfast meals ูƒูˆู„ูˆู†ุฉ
700
+
701
+ 176
702
+ 00:14:23,090 --> 00:14:28,790
703
+ cornflakes scrambled eggs and peanut butter toast
704
+
705
+ 177
706
+ 00:14:28,790 --> 00:14:31,930
707
+ for example so what we have here is that I use a
708
+
709
+ 178
710
+ 00:14:31,930 --> 00:14:37,150
711
+ ูƒูˆู„ูˆู†ุฉ to introduce a list of items a second use
712
+
713
+ 179
714
+ 00:14:37,150 --> 00:14:42,250
715
+ is also for introducing but this time I am
716
+
717
+ 180
718
+ 00:14:42,250 --> 00:14:48,630
719
+ introducing an ideaan explanation or a definition
720
+
721
+ 181
722
+ 00:14:48,630 --> 00:14:52,230
723
+ okay for example I'll tell you what I am going to
724
+
725
+ 182
726
+ 00:14:52,230 --> 00:14:57,570
727
+ do colon I am going to quick here I am introducing
728
+
729
+ 183
730
+ 00:14:57,570 --> 00:15:02,210
731
+ an idea or introducing an explanation okay a
732
+
733
+ 184
734
+ 00:15:02,210 --> 00:15:05,930
735
+ second example these are the things I look for in
736
+
737
+ 185
738
+ 00:15:05,930 --> 00:15:09,530
739
+ a new house I'm introducing an idea here what are
740
+
741
+ 186
742
+ 00:15:09,530 --> 00:15:13,890
743
+ they modern spacious and luxurious sort of kind of
744
+
745
+ 187
746
+ 00:15:13,890 --> 00:15:17,550
747
+ a new house for example orwe have to stop these
748
+
749
+ 188
750
+ 00:15:17,550 --> 00:15:22,190
751
+ doing these harmful things colon what are they
752
+
753
+ 189
754
+ 00:15:22,190 --> 00:15:25,410
755
+ polluting the rivers burning fossil fuels and
756
+
757
+ 190
758
+ 00:15:25,410 --> 00:15:29,210
759
+ using our private cars for example or finally
760
+
761
+ 191
762
+ 00:15:29,210 --> 00:15:35,530
763
+ elephant noun colonA large grey mammal found in
764
+
765
+ 192
766
+ 00:15:35,530 --> 00:15:38,830
767
+ Africa and India. What we have here is clearly a
768
+
769
+ 193
770
+ 00:15:38,830 --> 00:15:41,770
771
+ definition and I introduce this definition by
772
+
773
+ 194
774
+ 00:15:41,770 --> 00:15:45,750
775
+ using a comma. So commas are used for two things
776
+
777
+ 195
778
+ 00:15:45,750 --> 00:15:49,820
779
+ to introduce a list of items orto use an
780
+
781
+ 196
782
+ 00:15:49,820 --> 00:15:53,580
783
+ explanation, an idea or a definition is this
784
+
785
+ 197
786
+ 00:15:53,580 --> 00:15:56,540
787
+ clear? yes very nice all right now let's move on
788
+
789
+ 198
790
+ 00:15:56,540 --> 00:15:59,460
791
+ to talk about using semicolons when do I use a
792
+
793
+ 199
794
+ 00:15:59,460 --> 00:16:01,740
795
+ semicolon? do you remember? we talked about this
796
+
797
+ 200
798
+ 00:16:01,740 --> 00:16:06,980
799
+ when we generally introduce two closely
800
+
801
+ 201
802
+ 00:16:06,980 --> 00:16:11,380
803
+ independent ideas so dependent clauses which are
804
+
805
+ 202
806
+ 00:16:11,380 --> 00:16:15,080
807
+ closely related in meaning which are closely
808
+
809
+ 203
810
+ 00:16:15,420 --> 00:16:18,480
811
+ related in meaning so we use a semicolon for
812
+
813
+ 204
814
+ 00:16:18,480 --> 00:16:24,920
815
+ example mary drives a mercedes semicolon joanne
816
+
817
+ 205
818
+ 00:16:24,920 --> 00:16:28,740
819
+ drives a toyota so we have two independent clauses
820
+
821
+ 206
822
+ 00:16:28,740 --> 00:16:33,440
823
+ and they are and we use a semicolon to join them
824
+
825
+ 207
826
+ 00:16:33,440 --> 00:16:37,760
827
+ because the meaning is closely related these two
828
+
829
+ 208
830
+ 00:16:37,760 --> 00:16:40,740
831
+ independent clauses are clauses are closely
832
+
833
+ 209
834
+ 00:16:40,740 --> 00:16:44,750
835
+ related in meaning for examplehe ate six
836
+
837
+ 210
838
+ 00:16:44,750 --> 00:16:51,850
839
+ sandwiches he also got a stomachache or Tom always
840
+
841
+ 211
842
+ 00:16:51,850 --> 00:16:58,530
843
+ slept with the lights on he was afraid of the dark
844
+
845
+ 212
846
+ 00:16:58,530 --> 00:17:01,250
847
+ so the first use is whenever I have two
848
+
849
+ 213
850
+ 00:17:01,250 --> 00:17:04,430
851
+ independent clauses which are related in meaning
852
+
853
+ 214
854
+ 00:17:04,430 --> 00:17:08,920
855
+ we use or I can use a semicolonsecond use is that
856
+
857
+ 215
858
+ 00:17:08,920 --> 00:17:12,940
859
+ we have something called conjunctive adverbs the
860
+
861
+ 216
862
+ 00:17:12,940 --> 00:17:16,780
863
+ likes of however, furthermore, moreover,
864
+
865
+ 217
866
+ 00:17:17,080 --> 00:17:20,460
867
+ nevertheless, as a result, on the other hand, for
868
+
869
+ 218
870
+ 00:17:20,460 --> 00:17:23,560
871
+ example, for instance and so on these are called
872
+
873
+ 219
874
+ 00:17:23,560 --> 00:17:27,340
875
+ conjunctive adverbs whenever I use them especially
876
+
877
+ 220
878
+ 00:17:27,340 --> 00:17:31,100
879
+ to join two sentences I use a semicolon at the
880
+
881
+ 221
882
+ 00:17:31,100 --> 00:17:34,820
883
+ beginning and a comma afterwards for example he
884
+
885
+ 222
886
+ 00:17:34,820 --> 00:17:40,140
887
+ was very illsemi-colon therefore ูƒู…ุง he decided to
888
+
889
+ 223
890
+ 00:17:40,140 --> 00:17:44,260
891
+ take the day off he was poor semi-colon however
892
+
893
+ 224
894
+ 00:17:44,260 --> 00:17:48,540
895
+ ูƒู…ุง he loved apple so these conjunctive adverbs
896
+
897
+ 225
898
+ 00:17:48,540 --> 00:17:51,180
899
+ are generally used we use a semi-colon with them
900
+
901
+ 226
902
+ 00:17:51,180 --> 00:17:54,780
903
+ before them okay semi-colon therefore ูƒู…ุง semi
904
+
905
+ 227
906
+ 00:17:54,780 --> 00:17:58,920
907
+ -colon however ูƒู…ุง and so on is this clear yes so
908
+
909
+ 228
910
+ 00:17:58,920 --> 00:18:04,640
911
+ two simple uses for semi-colons okay all right now
912
+
913
+ 229
914
+ 00:18:04,640 --> 00:18:08,340
915
+ let's thisูุฃู†ุง ุณุฃูุนู„ ู‡ุฐุง ุงู„ุชุฌุฑุจุฉุŒ ุฃุญุงูˆู„ ุฃู† ุฃุถูŠู ูƒู„
916
+
917
+ 230
918
+ 00:18:08,340 --> 00:18:13,360
919
+ ู‡ุฐู‡ ุงู„ู…ุนู„ูˆู…ุงุช ุนู„ู‰ ู‡ุฐู‡ ุงู„ุฎู…ุณุฉ ูƒู„ู…ุงุชุŒ ูุฃุฑุฌูˆูƒ ูุงู†ูƒุดู
920
+
921
+ 231
922
+ 00:18:13,360 --> 00:18:16,260
923
+ ููŠ ู…ูƒุงู† ู…ุญุชุงุฌุŒ ูŠู…ูƒู†ูƒ ุฃู† ุชุถูŠู ุณูŠู…ูŠ ูƒูˆู„ูˆู† ุฃูˆ ูƒูˆู„ูˆู†
924
+
925
+ 232
926
+ 00:18:16,260 --> 00:18:22,180
927
+ ุฃูˆ ูƒูˆู…ุฉ ููŠ ู…ูƒุงู† ู…ุญุชุงุฌ ูˆ ุฃูŠุถู‹ุง ูู„ุณุทูˆูƒุช ูˆ ูƒูุงุชู„ุŒ
928
+
929
+ 233
930
+ 00:18:22,180 --> 00:18:22,760
931
+ ุงุฑุฌูˆูƒ ุงุฏุฎู„
932
+
933
+ 234
934
+ 00:19:57,630 --> 00:20:03,290
935
+ ู…ุด ุนุงุฑู ุงู† ุงู†ุง ุงุชูƒู„ู… ู…ุน ุงู„ู†ุงุณ ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ููŠ
936
+
937
+ 235
938
+ 00:20:03,290 --> 00:20:07,270
939
+ ุงู„ุจุฑู†ุงู…ุฌ ูˆ ุงู†ุง ุงุชูƒู„ู… ู…ุนู‡ุง
940
+
941
+ 236
942
+ 00:20:27,100 --> 00:20:39,020
943
+ ู„ุฃ ู‡ุจู‚ู‰ ู†ูƒูˆู† .. ู†๏ฟฝ๏ฟฝู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰
944
+
945
+ 237
946
+ 00:20:39,020 --> 00:20:39,400
947
+ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ู†ุจู‚ู‰ ..
948
+
949
+ 238
950
+ 00:20:57,050 --> 00:21:02,780
951
+ ุฃุญุณู†ุชุŒ ุฃุญุณู†ุชุŒ ุฃุญุณู†ุชุŒ ุฃุญุณู†ุชุฃูˆ ูˆุงุญุฏุฉ ู…ู† ุงู„ูˆุงุญุฏุฉ ู…ู†
952
+
953
+ 239
954
+ 00:21:02,780 --> 00:21:10,900
955
+ ุงู„ูˆุงุญุฏุฉ ู…ู† ุงู„ูˆุงุญุฏุฉ ู…ู† ุงู„ูˆุงุญุฏุฉ ู…ู† ุงู„ูˆุงุญุฏุฉ
956
+
957
+ 240
958
+ 00:21:10,900 --> 00:21:24,980
959
+ ู…ู† ุงู„ูˆุงุญุฏุฉ ู…ู† ุงู„ูˆุงุญุฏุฉ
960
+
961
+ 241
962
+ 00:21:31,260 --> 00:21:37,560
963
+ all right are we done? yes please professor smith
964
+
965
+ 242
966
+ 00:21:37,560 --> 00:21:44,300
967
+ is a conference semicolon very nice comma however
968
+
969
+ 243
970
+ 00:21:44,300 --> 00:21:51,620
971
+ doctor is that right? yes john's who yes comma who
972
+
973
+ 244
974
+ 00:21:51,620 --> 00:21:56,700
975
+ is the president will be here very nice very very
976
+
977
+ 245
978
+ 00:21:56,700 --> 00:22:00,190
979
+ nice very good all rightyes please all right so
980
+
981
+ 246
982
+ 00:22:00,190 --> 00:22:04,310
983
+ what we see here is ูƒุงุจุชู† ู„ุชู† ุฃูˆู„ ุจุฑุณ ู…ู† ูƒูˆู„ู‡ ูƒู…ู‡
984
+
985
+ 247
986
+ 00:22:04,310 --> 00:22:08,430
987
+ and who is the president sort of we consider it is
988
+
989
+ 248
990
+ 00:22:08,430 --> 00:22:11,510
991
+ as essential information and therefore separating
992
+
993
+ 249
994
+ 00:22:11,510 --> 00:22:16,870
995
+ them with using commas yes please my favorite very
996
+
997
+ 250
998
+ 00:22:16,870 --> 00:22:21,850
999
+ nice my is capitalized yes go ahead include going
1000
+
1001
+ 251
1002
+ 00:22:21,850 --> 00:22:23,170
1003
+ to movies
1004
+
1005
+ 252
1006
+ 00:22:28,490 --> 00:22:34,530
1007
+ reading novels ูƒู…ุฉ and participating in some words
1008
+
1009
+ 253
1010
+ 00:22:34,530 --> 00:22:38,330
1011
+ do you think we need a colon after include?
1012
+
1013
+ 254
1014
+ 00:22:38,570 --> 00:22:41,710
1015
+ actually there is no need for it there is no need
1016
+
1017
+ 255
1018
+ 00:22:41,710 --> 00:22:45,970
1019
+ for it okay but if I said my favorite hobbies
1020
+
1021
+ 256
1022
+ 00:22:45,970 --> 00:22:49,870
1023
+ without the word include we can use a comma but
1024
+
1025
+ 257
1026
+ 00:22:49,870 --> 00:22:52,670
1027
+ since we have the main verb here there is no need
1028
+
1029
+ 258
1030
+ 00:22:52,670 --> 00:22:55,510
1031
+ for a colon all right so my favorite hobbies
1032
+
1033
+ 259
1034
+ 00:22:55,510 --> 00:23:00,130
1035
+ include going to the moviesreading novels and
1036
+
1037
+ 260
1038
+ 00:23:00,130 --> 00:23:03,390
1039
+ participating in a sport there is no need for a
1040
+
1041
+ 261
1042
+ 00:23:03,390 --> 00:23:06,150
1043
+ colon after include okay because we have the
1044
+
1045
+ 262
1046
+ 00:23:06,150 --> 00:23:10,070
1047
+ essential we have the main verb here yes please
1048
+
1049
+ 263
1050
+ 00:23:10,070 --> 00:23:17,510
1051
+ uncertain all right so the future T is capitalized
1052
+
1053
+ 264
1054
+ 00:23:17,510 --> 00:23:24,290
1055
+ very good so semicolon for example illegal
1056
+
1057
+ 265
1058
+ 00:23:24,290 --> 00:23:28,590
1059
+ shooting and chemical poisoningthreaten the bald
1060
+
1061
+ 266
1062
+ 00:23:28,590 --> 00:23:31,690
1063
+ eagle for example if you have a fork stop don't
1064
+
1065
+ 267
1066
+ 00:23:31,690 --> 00:23:34,550
1067
+ forget the fork stop yes please some people feel
1068
+
1069
+ 268
1070
+ 00:23:34,550 --> 00:23:37,330
1071
+ that grades are unnecessary others feel grades
1072
+
1073
+ 269
1074
+ 00:23:37,330 --> 00:23:40,490
1075
+ motivate them to change some capitalized okay some
1076
+
1077
+ 270
1078
+ 00:23:40,490 --> 00:23:44,670
1079
+ is capitalized and then we have comma after where
1080
+
1081
+ 271
1082
+ 00:23:44,670 --> 00:23:47,950
1083
+ before others no we don't use a comma here that
1084
+
1085
+ 272
1086
+ 00:23:47,950 --> 00:23:53,580
1087
+ would be a comma spliced we have a semicolonOkay
1088
+
1089
+ 273
1090
+ 00:23:53,580 --> 00:23:57,420
1091
+ two sentences closely related in meaning we use a
1092
+
1093
+ 274
1094
+ 00:23:57,420 --> 00:24:00,420
1095
+ semicolon between them so some people feel their
1096
+
1097
+ 275
1098
+ 00:24:00,420 --> 00:24:03,780
1099
+ grades are necessary semicolon others feel that
1100
+
1101
+ 276
1102
+ 00:24:03,780 --> 00:24:08,060
1103
+ grades motivate students and number five
1104
+
1105
+ 277
1106
+ 00:24:08,060 --> 00:24:14,600
1107
+ advertising is essential yes please advertising is
1108
+
1109
+ 278
1110
+ 00:24:14,600 --> 00:24:18,180
1111
+ capitalized is essential to free your students
1112
+
1113
+ 279
1114
+ 00:24:18,470 --> 00:24:23,490
1115
+ enterprise system ูŠุช very nice we have a comma
1116
+
1117
+ 280
1118
+ 00:24:23,490 --> 00:24:27,290
1119
+ because it's one of those pen points yet it can
1120
+
1121
+ 281
1122
+ 00:24:27,290 --> 00:24:30,610
1123
+ sometimes be very annoying and we have a
1124
+
1125
+ 282
1126
+ 00:24:30,610 --> 00:24:33,830
1127
+ apostrophe okay let's continue the remaining
1128
+
1129
+ 283
1130
+ 00:24:33,830 --> 00:24:37,190
1131
+ sentences all right and the same thing punctuate
1132
+
1133
+ 284
1134
+ 00:24:37,190 --> 00:24:44,170
1135
+ where necessary yes
1136
+
1137
+ 285
1138
+ 00:24:44,170 --> 00:24:45,470
1139
+ please very quickly please
1140
+
1141
+ 286
1142
+ 00:25:01,370 --> 00:25:04,850
1143
+ ู…ุด ูƒู†ุช ู…ุงุจุชุนุฑูุด
1144
+
1145
+ 287
1146
+ 00:25:04,850 --> 00:25:08,670
1147
+ ููŠ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู† ู…ุด ู…ุงุจุชุนุฑูุด ููŠ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู† ู…ุด
1148
+
1149
+ 288
1150
+ 00:25:08,670 --> 00:25:10,330
1151
+ ู…ุงุจุชุนุฑูุด ููŠ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู† ู…ุด ู…ุงุจุชุนุฑูุด ููŠ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู†
1152
+
1153
+ 289
1154
+ 00:25:10,330 --> 00:25:21,810
1155
+ ู…ุด ู…ุงุจุชุนุฑูุด ููŠ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู† ู…ุด ู…ุงุจุชุนุฑูุด ููŠ
1156
+
1157
+ 290
1158
+ 00:25:21,810 --> 00:25:23,150
1159
+ ู…ุฏูŠู†ุฉ ูƒูˆู‡ู†
1160
+
1161
+ 291
1162
+ 00:25:30,510 --> 00:25:33,630
1163
+ ุงู„ุงู† ุงู†ุง ูƒู†ุช ุญุงุณุณู‡ ู„ู…ุง ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช
1164
+
1165
+ 292
1166
+ 00:25:33,630 --> 00:25:38,690
1167
+ ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ
1168
+
1169
+ 293
1170
+ 00:25:38,690 --> 00:25:40,250
1171
+ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ
1172
+
1173
+ 294
1174
+ 00:25:40,250 --> 00:25:40,890
1175
+ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง
1176
+
1177
+ 295
1178
+ 00:25:40,890 --> 00:25:41,210
1179
+ ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ
1180
+
1181
+ 296
1182
+ 00:25:41,210 --> 00:25:41,730
1183
+ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ
1184
+
1185
+ 297
1186
+ 00:25:41,730 --> 00:25:42,110
1187
+ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง
1188
+
1189
+ 298
1190
+ 00:25:42,110 --> 00:25:43,270
1191
+ ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ
1192
+
1193
+ 299
1194
+ 00:25:43,270 --> 00:25:49,090
1195
+ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ
1196
+
1197
+ 300
1198
+ 00:25:49,090 --> 00:25:54,070
1199
+ ุงู†ุง ูƒู†ุช ููŠ ุงู„ุณุงุจุนุฉ ูˆ
1200
+
1201
+ 301
1202
+ 00:25:54,070 --> 00:25:55,470
1203
+ ุงู†ุง ูƒู†ุช ููŠ
1204
+
1205
+ 302
1206
+ 00:26:08,170 --> 00:26:19,390
1207
+ ุณุงุจุน ุณุงุจุน ุณุงุจุน ุงุฎุฑ ูƒู„ู…ุฉ ุณุงุจุน ูƒู„ู…ุฉ ุงุฎุฑ
1208
+
1209
+ 303
1210
+ 00:26:19,390 --> 00:26:23,010
1211
+ ูƒู„ู…ุฉ ุงุฎุฑ ูƒู„ู…ุฉ ุงุฎุฑ ูƒู„ู…ุฉ ุงุฎุฑ ูƒู„ู…ุฉ ุงุฎุฑ ูƒู„ู…ุฉ
1212
+
1213
+ 304
1214
+ 00:26:52,450 --> 00:26:56,170
1215
+ circulation ู…ูƒุชุจ ุงู„ .. ุนุงู…ูŠู† ุงู„ู…ูƒุชุจ ุงู„ู„ูŠ ู‡ุชูƒูˆู†
1216
+
1217
+ 305
1218
+ 00:26:56,170 --> 00:26:57,510
1219
+ ุฌุงู„ุณ ู‡ู†ุง ู…ูƒุชุจ
1220
+
1221
+ 306
1222
+ 00:27:02,190 --> 00:27:05,410
1223
+ ุจู†ุฒู„ุช ู…ุด ุนุดุงู† ุงุชูุฑุฌ ูˆ ุงู†ุง ุงุชูุฑุฌ ูˆ ุงู†ุง ุงุชูุฑุฌ ูˆ ุงู†ุง
1224
+
1225
+ 307
1226
+ 00:27:05,410 --> 00:27:06,910
1227
+ ุงุชูุฑุฌ ูˆ ุงู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1228
+
1229
+ 308
1230
+ 00:27:06,910 --> 00:27:08,410
1231
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1232
+
1233
+ 309
1234
+ 00:27:08,410 --> 00:27:09,410
1235
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1236
+
1237
+ 310
1238
+ 00:27:09,410 --> 00:27:11,510
1239
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1240
+
1241
+ 311
1242
+ 00:27:11,510 --> 00:27:14,730
1243
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1244
+
1245
+ 312
1246
+ 00:27:14,730 --> 00:27:15,990
1247
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง
1248
+
1249
+ 313
1250
+ 00:27:15,990 --> 00:27:20,530
1251
+ ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ ุฃู†ุง ุงุชูุฑุฌ ูˆ
1252
+
1253
+ 314
1254
+ 00:27:20,530 --> 00:27:27,290
1255
+ ุฃู†ุง ุงุชูุฑุฌ ูˆ
1256
+
1257
+ 315
1258
+ 00:27:42,020 --> 00:27:46,820
1259
+ Alright let's see number six and yes please The
1260
+
1261
+ 316
1262
+ 00:27:46,820 --> 00:27:50,300
1263
+ library offers many special services ู„ุฃ ูƒู… ุชู„ุงุช
1264
+
1265
+ 317
1266
+ 00:27:50,300 --> 00:27:52,820
1267
+ Varies so T is the library is the beginning of the
1268
+
1269
+ 318
1270
+ 00:27:52,820 --> 00:27:56,680
1271
+ sentence service ูƒู…ู‡ service ูƒู…ู‡ or actually
1272
+
1273
+ 319
1274
+ 00:27:56,680 --> 00:28:00,660
1275
+ economyWhy is it a colon here? Because I'm
1276
+
1277
+ 320
1278
+ 00:28:00,660 --> 00:28:03,920
1279
+ introducing the list of things. For example, what
1280
+
1281
+ 321
1282
+ 00:28:03,920 --> 00:28:07,280
1283
+ are these special services? The student learning
1284
+
1285
+ 322
1286
+ 00:28:07,280 --> 00:28:15,060
1287
+ center, the follow record library, and the group
1288
+
1289
+ 323
1290
+ 00:28:15,060 --> 00:28:18,560
1291
+ study rooms. And we have full stop. So I used a
1292
+
1293
+ 324
1294
+ 00:28:18,560 --> 00:28:22,020
1295
+ colon here because I am introducing the list of
1296
+
1297
+ 325
1298
+ 00:28:22,020 --> 00:28:26,460
1299
+ items, the list of things. So I used a colon. Yes,
1300
+
1301
+ 326
1302
+ 00:28:26,560 --> 00:28:27,080
1303
+ Iman, please.
1304
+
1305
+ 327
1306
+ 00:28:31,280 --> 00:28:37,040
1307
+ so T yes of course very
1308
+
1309
+ 328
1310
+ 00:28:37,040 --> 00:28:46,600
1311
+ nice ูƒู…ุง you should follow these okay
1312
+
1313
+ 329
1314
+ 00:28:46,600 --> 00:28:53,500
1315
+ you should follow these procedures very nice okay
1316
+
1317
+ 330
1318
+ 00:28:53,500 --> 00:29:00,040
1319
+ write down the whole number of the book ูƒู…ุง fine
1320
+
1321
+ 331
1322
+ 00:29:00,760 --> 00:29:06,400
1323
+ very nice bring it to the circulation fill out the
1324
+
1325
+ 332
1326
+ 00:29:06,400 --> 00:29:15,240
1327
+ core and show your ID alright so here to check a
1328
+
1329
+ 333
1330
+ 00:29:15,240 --> 00:29:19,020
1331
+ book out of the library you should follow these
1332
+
1333
+ 334
1334
+ 00:29:19,020 --> 00:29:23,160
1335
+ procedures colon what are they? these are the
1336
+
1337
+ 335
1338
+ 00:29:23,160 --> 00:29:27,360
1339
+ procedures that you have to follow number eight I
1340
+
1341
+ 336
1342
+ 00:29:27,360 --> 00:29:30,520
1343
+ have only one thing to say yes pleaseI have only
1344
+
1345
+ 337
1346
+ 00:29:30,520 --> 00:29:34,980
1347
+ one thing to say to you colon very nice get off my
1348
+
1349
+ 338
1350
+ 00:29:34,980 --> 00:29:41,160
1351
+ land so balance I have only one thing to say to
1352
+
1353
+ 339
1354
+ 00:29:41,160 --> 00:29:45,940
1355
+ you colon get off why is it why did you use colon
1356
+
1357
+ 340
1358
+ 00:29:45,940 --> 00:29:49,920
1359
+ here because I'm introducing an idea or an
1360
+
1361
+ 341
1362
+ 00:29:49,920 --> 00:29:53,320
1363
+ explanation I have one thing to say to you what is
1364
+
1365
+ 342
1366
+ 00:29:53,320 --> 00:29:56,680
1367
+ that colon get off my land leave my land all right
1368
+
1369
+ 343
1370
+ 00:29:56,680 --> 00:30:00,620
1371
+ full stopall right so I use a colon here because
1372
+
1373
+ 344
1374
+ 00:30:00,620 --> 00:30:05,300
1375
+ I'm producing an idea in kind in in in the form of
1376
+
1377
+ 345
1378
+ 00:30:05,300 --> 00:30:13,740
1379
+ an explanation nine even even if you fail at least
1380
+
1381
+ 346
1382
+ 00:30:13,740 --> 00:30:19,120
1383
+ you try and capitalize you are very nice so even
1384
+
1385
+ 347
1386
+ 00:30:19,120 --> 00:30:25,080
1387
+ capitalized even if you fail comma dependent
1388
+
1389
+ 348
1390
+ 00:30:25,080 --> 00:30:35,510
1391
+ clauseAt least you tried and you are a
1392
+
1393
+ 349
1394
+ 00:30:35,510 --> 00:30:40,230
1395
+ better person for it. So even if you fail, because
1396
+
1397
+ 350
1398
+ 00:30:40,230 --> 00:30:43,450
1399
+ it's a dependent clause, at least you tried, and
1400
+
1401
+ 351
1402
+ 00:30:43,450 --> 00:30:48,010
1403
+ you are a better person for it.ุช ุงูŠ full stop okay
1404
+
1405
+ 352
1406
+ 00:30:48,010 --> 00:30:50,990
1407
+ is this clear all right so what we've done so far
1408
+
1409
+ 353
1410
+ 00:30:50,990 --> 00:30:55,230
1411
+ is looking at different different fools for using
1412
+
1413
+ 354
1414
+ 00:30:55,230 --> 00:30:58,490
1415
+ commas columns and semicolons now we come to the
1416
+
1417
+ 355
1418
+ 00:30:58,490 --> 00:31:01,290
1419
+ rather difficult exercise and this is the last
1420
+
1421
+ 356
1422
+ 00:31:01,290 --> 00:31:03,950
1423
+ exercise this is please very quickly read this
1424
+
1425
+ 357
1426
+ 00:31:03,950 --> 00:31:10,330
1427
+ paragraph and what i'd like you is to use commas
1428
+
1429
+ 358
1430
+ 00:31:10,330 --> 00:31:14,950
1431
+ columns semicolons and full stops where necessary
1432
+
1433
+ 359
1434
+ 00:31:15,280 --> 00:31:18,120
1435
+ In other words punctuate this paragraph
1436
+
1437
+ 360
1438
+ 00:32:41,650 --> 00:32:45,470
1439
+ ู…ุด ูƒูุงูŠุฉ ูŠุง ุนุฒูŠุฒูŠ
1440
+
1441
+ 361
1442
+ 00:32:51,790 --> 00:32:59,610
1443
+ ู…ุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด
1444
+
1445
+ 362
1446
+ 00:32:59,610 --> 00:33:02,510
1447
+ ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด ู…ุงู†ุนุด
1448
+
1449
+ 363
1450
+ 00:33:18,230 --> 00:33:41,410
1451
+ ู…ุด ุนุงุฑู ุงู†ุง
1452
+
1453
+ 364
1454
+ 00:33:41,410 --> 00:33:43,230
1455
+ ุงู†ุง ู…ุด ุนุงุฑู
1456
+
1457
+ 365
1458
+ 00:33:53,020 --> 00:33:58,140
1459
+ ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด
1460
+
1461
+ 366
1462
+ 00:33:58,140 --> 00:34:01,360
1463
+ ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด ู…ุด
1464
+
1465
+ 367
1466
+ 00:34:01,360 --> 00:34:03,960
1467
+ ู‡ุชุณุงู‚ู‚ุด ู…ุด ู‡ุชุณุงู‚ู‚ุด
1468
+
1469
+ 368
1470
+ 00:34:28,720 --> 00:34:33,260
1471
+ All right let's start with the .. yes please
1472
+
1473
+ 369
1474
+ 00:34:33,260 --> 00:34:37,000
1475
+ Australia which is the home of many unusual
1476
+
1477
+ 370
1478
+ 00:34:37,000 --> 00:34:42,760
1479
+ animals is the home of the kangaroo Australia
1480
+
1481
+ 371
1482
+ 00:34:42,760 --> 00:34:46,940
1483
+ which is the home of many unusual animals
1484
+
1485
+ 372
1486
+ 00:34:51,820 --> 00:34:55,260
1487
+ very nice now who would like to continue all right
1488
+
1489
+ 373
1490
+ 00:34:55,260 --> 00:35:04,820
1491
+ yes please pockets or pouches all right kangaroos
1492
+
1493
+ 374
1494
+ 00:35:04,820 --> 00:35:10,560
1495
+ are animals that have pockets or pouches full stop
1496
+
1497
+ 375
1498
+ 00:35:10,560 --> 00:35:13,900
1499
+ all right guess we finished the idea and we have a
1500
+
1501
+ 376
1502
+ 00:35:13,900 --> 00:35:19,800
1503
+ full stop and after that a kangaroo babywhich is
1504
+
1505
+ 377
1506
+ 00:35:19,800 --> 00:35:24,660
1507
+ only about the size of a little bird ูƒู…ุง when it
1508
+
1509
+ 378
1510
+ 00:35:24,660 --> 00:35:30,660
1511
+ is born okay see how it can be confusing all right
1512
+
1513
+ 379
1514
+ 00:35:30,660 --> 00:35:34,480
1515
+ let's see I would like to try again what you've
1516
+
1517
+ 380
1518
+ 00:35:34,480 --> 00:35:36,720
1519
+ done is good but we need just to complete the
1520
+
1521
+ 381
1522
+ 00:35:36,720 --> 00:35:40,300
1523
+ sentence yes which is
1524
+
1525
+ 382
1526
+ 00:35:43,850 --> 00:35:48,710
1527
+ No for stops okay let's read it now a kangaroo
1528
+
1529
+ 383
1530
+ 00:35:48,710 --> 00:35:51,730
1531
+ baby which is the only about the size of a little
1532
+
1533
+ 384
1534
+ 00:35:51,730 --> 00:35:55,430
1535
+ bird when it is born coma lives in its mother's
1536
+
1537
+ 385
1538
+ 00:35:55,430 --> 00:36:00,470
1539
+ pouch until its back and legs have grown strong
1540
+
1541
+ 386
1542
+ 00:36:00,470 --> 00:36:04,370
1543
+ strong see now it is a complete idea now does it
1544
+
1545
+ 387
1546
+ 00:36:04,370 --> 00:36:08,210
1547
+ make sense it does actually now makes makes sense
1548
+
1549
+ 388
1550
+ 00:36:08,210 --> 00:36:12,250
1551
+ actually makes senseSo a kangaroo baby which is
1552
+
1553
+ 389
1554
+ 00:36:12,250 --> 00:36:15,930
1555
+ about the size of a little bird when it is born,
1556
+
1557
+ 390
1558
+ 00:36:16,450 --> 00:36:18,970
1559
+ this is the witchy close, the adjective close,
1560
+
1561
+ 391
1562
+ 00:36:19,250 --> 00:36:23,390
1563
+ lives in its mother's pouch until its legs and
1564
+
1565
+ 392
1566
+ 00:36:23,390 --> 00:36:26,630
1567
+ back have grown strong. Would you like to
1568
+
1569
+ 393
1570
+ 00:36:26,630 --> 00:36:32,810
1571
+ continue? Yes please, Iman please. Kangaroos come
1572
+
1573
+ 394
1574
+ 00:36:32,810 --> 00:36:35,990
1575
+ up which have very long legs, come up .. Very
1576
+
1577
+ 395
1578
+ 00:36:35,990 --> 00:36:42,090
1579
+ nice, can ..fierce kicks to other animals full
1580
+
1581
+ 396
1582
+ 00:36:42,090 --> 00:36:47,710
1583
+ stop okay kangaroos which have very long legs
1584
+
1585
+ 397
1586
+ 00:36:47,710 --> 00:36:53,990
1587
+ comma comma can make fierce kicks to other animals
1588
+
1589
+ 398
1590
+ 00:36:53,990 --> 00:37:01,290
1591
+ and finally other animals yes other animals which
1592
+
1593
+ 399
1594
+ 00:37:01,290 --> 00:37:05,350
1595
+ in pouches are comma
1596
+
1597
+ 400
1598
+ 00:37:17,520 --> 00:37:21,580
1599
+ ูƒู…ุง which rear their babies in pouches ูƒู…ุง this is
1600
+
1601
+ 401
1602
+ 00:37:21,580 --> 00:37:26,060
1603
+ the adjective closed are possums ูƒู…ุง wombats and
1604
+
1605
+ 402
1606
+ 00:37:26,060 --> 00:37:29,540
1607
+ ูƒูˆุง so what we see here are lots of ูƒู…ุง and as you
1608
+
1609
+ 403
1610
+ 00:37:29,540 --> 00:37:32,540
1611
+ can see we have to be very careful about using
1612
+
1613
+ 404
1614
+ 00:37:32,540 --> 00:37:35,840
1615
+ punctuation marks because it can sometimes be
1616
+
1617
+ 405
1618
+ 00:37:35,840 --> 00:37:39,880
1619
+ confusing to the reader if we misplacedone comma
1620
+
1621
+ 406
1622
+ 00:37:39,880 --> 00:37:42,480
1623
+ with a full stop or one comma with a semicolon or
1624
+
1625
+ 407
1626
+ 00:37:42,480 --> 00:37:46,980
1627
+ a colon and so on okay does anyone have any
1628
+
1629
+ 408
1630
+ 00:37:46,980 --> 00:37:50,340
1631
+ question all right very nice so just go over what
1632
+
1633
+ 409
1634
+ 00:37:50,340 --> 00:37:53,640
1635
+ we've done today just do some revisions and i'll
1636
+
1637
+ 410
1638
+ 00:37:53,640 --> 00:37:56,140
1639
+ see you next time inshallah thank you very much
1640
+
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1
+ 1
2
+ 00:00:20,690 --> 00:00:22,970
3
+ ู‡ูŠ ุงู„ุณู„ุงู… ุนู„ูŠูƒู…ุŒ good morningุŒ how are you todayุŸ
4
+
5
+ 2
6
+ 00:00:22,970 --> 00:00:25,470
7
+ Very good. All right. Today we are looking at a
8
+
9
+ 3
10
+ 00:00:25,470 --> 00:00:29,070
11
+ very important topic which is both related to
12
+
13
+ 4
14
+ 00:00:29,070 --> 00:00:32,650
15
+ writing and also grammar and this is about
16
+
17
+ 5
18
+ 00:00:32,650 --> 00:00:35,850
19
+ pluralism. I hope that you prepared for this
20
+
21
+ 6
22
+ 00:00:35,850 --> 00:00:39,610
23
+ lecture.but before we start we would like to
24
+
25
+ 7
26
+ 00:00:39,610 --> 00:00:42,270
27
+ introduce Layla and she's going to give us a quick
28
+
29
+ 8
30
+ 00:00:42,270 --> 00:00:44,590
31
+ presentation on the topic and then we'll take it
32
+
33
+ 9
34
+ 00:00:44,590 --> 00:00:46,890
35
+ from there so the floor is yours Layla please
36
+
37
+ 10
38
+ 00:00:46,890 --> 00:00:49,450
39
+ thank you ุงู„ุณู„ุงู… ุนู„ูŠูƒู… everyone I'm Layla Abu
40
+
41
+ 11
42
+ 00:00:49,450 --> 00:00:52,230
43
+ Hashim today we're talking about parallelism it's
44
+
45
+ 12
46
+ 00:00:52,230 --> 00:00:57,370
47
+ a very easy topic parallelism the main idea is to
48
+
49
+ 13
50
+ 00:00:57,370 --> 00:01:01,410
51
+ be the same grammatic structure that the sentence
52
+
53
+ 14
54
+ 00:01:01,410 --> 00:01:05,610
55
+ has to be balanced in grammars so let's look at
56
+
57
+ 15
58
+ 00:01:05,610 --> 00:01:09,270
59
+ the first examplewhen talking to the group he
60
+
61
+ 16
62
+ 00:01:09,270 --> 00:01:12,650
63
+ spoke sincerely and with passion here we have
64
+
65
+ 17
66
+ 00:01:12,650 --> 00:01:19,570
67
+ sincerely it's a live verb and with passion it's a
68
+
69
+ 18
70
+ 00:01:19,570 --> 00:01:24,190
71
+ phrase right? so here there's no balance in
72
+
73
+ 19
74
+ 00:01:24,190 --> 00:01:27,550
75
+ grammar so the right way to say it is sincerely
76
+
77
+ 20
78
+ 00:01:27,550 --> 00:01:30,870
79
+ and passionately it's passionately
80
+
81
+ 21
82
+ 00:01:35,390 --> 00:01:40,430
83
+ Okay passionately Okay let's move to the other
84
+
85
+ 22
86
+ 00:01:40,430 --> 00:01:44,570
87
+ example The cafeteria was messy, noisy, and it was
88
+
89
+ 23
90
+ 00:01:44,570 --> 00:01:48,130
91
+ crowded What's the problem in that example? It
92
+
93
+ 24
94
+ 00:01:48,130 --> 00:01:53,430
95
+ wasn't clever Yes Rowan It wasn't clever Yeah here
96
+
97
+ 25
98
+ 00:01:53,430 --> 00:01:59,930
99
+ we have two adjectives Here's adjective and
100
+
101
+ 26
102
+ 00:01:59,930 --> 00:02:05,920
103
+ adjectiveand was he crowded it's a clause yeah so
104
+
105
+ 27
106
+ 00:02:05,920 --> 00:02:11,960
107
+ anyone could tell me the right .. how to correct
108
+
109
+ 28
110
+ 00:02:11,960 --> 00:02:20,400
111
+ itุŸ yeah quasi-crowded without quasi-crowded okay
112
+
113
+ 29
114
+ 00:02:20,400 --> 00:02:24,600
115
+ so here's the idea we have to make the sentence
116
+
117
+ 30
118
+ 00:02:24,600 --> 00:02:28,990
119
+ balancedlet's move to the third one trying
120
+
121
+ 31
122
+ 00:02:28,990 --> 00:02:32,430
123
+ desperately to find his keys he locked in his
124
+
125
+ 32
126
+ 00:02:32,430 --> 00:02:37,030
127
+ bedroom, the sofa and the kitchen corner here we
128
+
129
+ 33
130
+ 00:02:37,030 --> 00:02:43,610
131
+ have two phrases that he locked in his bedroom and
132
+
133
+ 34
134
+ 00:02:43,610 --> 00:02:49,770
135
+ kitchen corner and we have one noun it's sofa so
136
+
137
+ 35
138
+ 00:02:49,770 --> 00:02:54,820
139
+ we can say that two phrases in one nounit has to
140
+
141
+ 36
142
+ 00:02:54,820 --> 00:02:59,500
143
+ be a paras so the right way to say it is under the
144
+
145
+ 37
146
+ 00:02:59,500 --> 00:03:03,300
147
+ sofa under
148
+
149
+ 38
150
+ 00:03:03,300 --> 00:03:07,140
151
+ the sofa because
152
+
153
+ 39
154
+ 00:03:07,140 --> 00:03:11,600
155
+ the sentence has to be the same grammar structure
156
+
157
+ 40
158
+ 00:03:11,600 --> 00:03:16,380
159
+ let's move to the last example anyone can read it?
160
+
161
+ 41
162
+ 00:03:17,400 --> 00:03:20,590
163
+ you wanna share? that's okayUniversity students
164
+
165
+ 42
166
+ 00:03:20,590 --> 00:03:24,170
167
+ use the internet to research essay topics,
168
+
169
+ 43
170
+ 00:03:24,870 --> 00:03:27,650
171
+ business people use it to hold video conferences
172
+
173
+ 44
174
+ 00:03:27,650 --> 00:03:31,530
175
+ and it is used by teacher to deliver homework
176
+
177
+ 45
178
+ 00:03:31,530 --> 00:03:32,270
179
+ assignments
180
+
181
+ 46
182
+ 00:03:34,970 --> 00:03:42,830
183
+ two phrases two phrases
184
+
185
+ 47
186
+ 00:03:42,830 --> 00:03:50,390
187
+ active voice and one phrase passive voice because
188
+
189
+ 48
190
+ 00:03:50,390 --> 00:03:54,090
191
+ we want it to be the same grammar structure as we
192
+
193
+ 49
194
+ 00:03:54,090 --> 00:04:01,830
195
+ said we will correct teacher used by teacher we
196
+
197
+ 50
198
+ 00:04:01,830 --> 00:04:05,550
199
+ have to say teacher used it to so and so and soso
200
+
201
+ 51
202
+ 00:04:05,550 --> 00:04:14,390
203
+ teacher uses to deliver homework assignment it's
204
+
205
+ 52
206
+ 00:04:14,390 --> 00:04:18,530
207
+ not capital U so this is .. it's very easy topic
208
+
209
+ 53
210
+ 00:04:18,530 --> 00:04:22,570
211
+ and this is the main idea of parallelism you have
212
+
213
+ 54
214
+ 00:04:22,570 --> 00:04:26,510
215
+ to make the sentence the same grammar structure
216
+
217
+ 55
218
+ 00:04:26,510 --> 00:04:29,710
219
+ and balanced grammatically and thank you I hope
220
+
221
+ 56
222
+ 00:04:29,710 --> 00:04:35,250
223
+ you understood everythingุดูƒุฑุง ุฌุฒูŠู„ุง ู„ูƒ ู„ูŠู†ุง ู„ุชู‚ุฏูŠู…
224
+
225
+ 57
226
+ 00:04:35,250 --> 00:04:40,970
227
+ ู‡ุฐุง ุงู„ุชู‚ุฏูŠู… ุนู† ุงู„ ParalysmุŒ ุฅู†ู‡ ู…ุณุชุนุฏ ูˆู…ู…ูŠุฒ
228
+
229
+ 58
230
+ 00:04:40,970 --> 00:04:45,390
231
+ ู„ู„ุบุงูŠุฉ. ูƒู…ุง ู‚ู„ุช ู„ู„ูŠู†ุงุŒ ุงู„ Paralysm ูŠุชุนู„ู‚ ุจุงู„ุชูˆุงุฒู†
232
+
233
+ 59
234
+ 00:04:45,390 --> 00:04:49,820
235
+ ุจูŠู† ุฌุฒุกูŠู† ู…ุฎุชู„ูุฉof the sentence especially if we
236
+
237
+ 60
238
+ 00:04:49,820 --> 00:04:53,080
239
+ are listing especially if we are listing a thing
240
+
241
+ 61
242
+ 00:04:53,080 --> 00:04:55,920
243
+ so we will introduce a quick we will give a quick
244
+
245
+ 62
246
+ 00:04:55,920 --> 00:04:59,100
247
+ presentation of what parallelism is and then we
248
+
249
+ 63
250
+ 00:04:59,100 --> 00:05:01,680
251
+ will have some exercises it's not it's not a
252
+
253
+ 64
254
+ 00:05:01,680 --> 00:05:05,940
255
+ difficult topic as much as it is about just all
256
+
257
+ 65
258
+ 00:05:05,940 --> 00:05:08,780
259
+ right so parallelism is basically about balance
260
+
261
+ 66
262
+ 00:05:08,780 --> 00:05:11,740
263
+ like what Layla just say it's about linking
264
+
265
+ 67
266
+ 00:05:11,740 --> 00:05:14,140
267
+ together grammatical parts or grammatical
268
+
269
+ 68
270
+ 00:05:14,140 --> 00:05:18,610
271
+ structures ina sentenceุŒ so if we have a series of
272
+
273
+ 69
274
+ 00:05:18,610 --> 00:05:22,450
275
+ items, all the items in a series must have the
276
+
277
+ 70
278
+ 00:05:22,450 --> 00:05:24,670
279
+ same grammatical structure whether they are
280
+
281
+ 71
282
+ 00:05:24,670 --> 00:05:29,010
283
+ infinitives or gerunds or phrases or clauses or
284
+
285
+ 72
286
+ 00:05:29,010 --> 00:05:32,290
287
+ adjectives and so on and so forth let's look at
288
+
289
+ 73
290
+ 00:05:32,290 --> 00:05:36,480
291
+ this sentence and see what is the problem hereTom
292
+
293
+ 74
294
+ 00:05:36,480 --> 00:05:40,460
295
+ ate his dinner, watched his favorite TV program
296
+
297
+ 75
298
+ 00:05:40,460 --> 00:05:44,420
299
+ and going to bed later at night. What is the
300
+
301
+ 76
302
+ 00:05:44,420 --> 00:05:47,680
303
+ problem here in this sentenceุŸ Clearly it is about
304
+
305
+ 77
306
+ 00:05:47,680 --> 00:05:50,840
307
+ food because what we have here is a verb tense,
308
+
309
+ 78
310
+ 00:05:50,980 --> 00:05:54,570
311
+ past verb tensePast Vertex what we have here is a
312
+
313
+ 79
314
+ 00:05:54,570 --> 00:05:57,670
315
+ German ing present participle and this is not
316
+
317
+ 80
318
+ 00:05:57,670 --> 00:06:00,610
319
+ parallel this is not a balance sort of
320
+
321
+ 81
322
+ 00:06:00,610 --> 00:06:04,850
323
+ presentation of the different items in a series so
324
+
325
+ 82
326
+ 00:06:04,850 --> 00:06:08,030
327
+ it shouldn't look like this okay they all have to
328
+
329
+ 83
330
+ 00:06:08,030 --> 00:06:12,470
331
+ have the same type or the same form of or the same
332
+
333
+ 84
334
+ 00:06:12,470 --> 00:06:15,990
335
+ structure now if we fix this same sentence it
336
+
337
+ 85
338
+ 00:06:15,990 --> 00:06:21,460
339
+ would be something like Tom ate his dinner whatand
340
+
341
+ 86
342
+ 00:06:21,460 --> 00:06:25,740
343
+ when not going when so we all have the three verb
344
+
345
+ 87
346
+ 00:06:25,740 --> 00:06:29,300
347
+ tenses in the past and they should look like this
348
+
349
+ 88
350
+ 00:06:29,300 --> 00:06:32,360
351
+ all belonging to the same time to the same
352
+
353
+ 89
354
+ 00:06:32,360 --> 00:06:35,220
355
+ category and so on so this is what we mean by
356
+
357
+ 90
358
+ 00:06:35,220 --> 00:06:38,260
359
+ parallelism if we are listing a number of things
360
+
361
+ 91
362
+ 00:06:38,260 --> 00:06:41,400
363
+ so parallel structure like I just said can be a
364
+
365
+ 92
366
+ 00:06:41,400 --> 00:06:44,820
367
+ word can be a phrase can be a sentence can be a
368
+
369
+ 93
370
+ 00:06:44,820 --> 00:06:47,560
371
+ clause and so on and so forth let's consider some
372
+
373
+ 94
374
+ 00:06:47,560 --> 00:06:52,190
375
+ examples for example first oneI'm reading about
376
+
377
+ 95
378
+ 00:06:52,190 --> 00:06:56,970
379
+ dogs, cats and birds so what we have here are
380
+
381
+ 96
382
+ 00:06:56,970 --> 00:07:02,110
383
+ words and they are all nouns and the second one I
384
+
385
+ 97
386
+ 00:07:02,110 --> 00:07:07,070
387
+ plan to walk a dog, write a letter and go to Petra
388
+
389
+ 98
390
+ 00:07:07,070 --> 00:07:10,010
391
+ so what we have here is again a verb phrase, a
392
+
393
+ 99
394
+ 00:07:10,010 --> 00:07:14,130
395
+ phrase starting with a verb and number three is he
396
+
397
+ 100
398
+ 00:07:14,130 --> 00:07:19,610
399
+ wastalking on a phone and doing his homework it
400
+
401
+ 101
402
+ 00:07:19,610 --> 00:07:21,910
403
+ shouldn't be he was talking on a phone and to do
404
+
405
+ 102
406
+ 00:07:21,910 --> 00:07:25,830
407
+ his homework it has to be doing his home homework
408
+
409
+ 103
410
+ 00:07:25,830 --> 00:07:27,870
411
+ some more examples would be something like this
412
+
413
+ 104
414
+ 00:07:27,870 --> 00:07:30,530
415
+ it's not just a word or a phrase it can be a
416
+
417
+ 105
418
+ 00:07:30,530 --> 00:07:34,750
419
+ clause for example we expect that the dinner will
420
+
421
+ 106
422
+ 00:07:34,750 --> 00:07:39,810
423
+ be over by 9pm and that so what we have here is a
424
+
425
+ 107
426
+ 00:07:39,810 --> 00:07:43,550
427
+ balanced structure of that clause okay and number
428
+
429
+ 108
430
+ 00:07:43,550 --> 00:07:49,230
431
+ four the roadcrosses the river and climbs up the
432
+
433
+ 109
434
+ 00:07:49,230 --> 00:07:53,830
435
+ mountain so in both cases if we are introducing
436
+
437
+ 110
438
+ 00:07:53,830 --> 00:07:57,550
439
+ more than one structure and the car is parked in
440
+
441
+ 111
442
+ 00:07:57,550 --> 00:08:02,370
443
+ front of the truck and behind the motorcycle so
444
+
445
+ 112
446
+ 00:08:02,370 --> 00:08:06,510
447
+ what we have here is again a prepositional phrase
448
+
449
+ 113
450
+ 00:08:06,510 --> 00:08:10,010
451
+ both are prepositional phrases so this is actually
452
+
453
+ 114
454
+ 00:08:10,010 --> 00:08:13,130
455
+ what we mean by parallelism what is the problem
456
+
457
+ 115
458
+ 00:08:13,130 --> 00:08:16,850
459
+ here again some more exercisesMary likes hiking,
460
+
461
+ 116
462
+ 00:08:17,150 --> 00:08:20,830
463
+ swimming and to ride a bicycle. It should be the
464
+
465
+ 117
466
+ 00:08:20,830 --> 00:08:23,650
467
+ correct one. Very nice. It should be Mary likes
468
+
469
+ 118
470
+ 00:08:23,650 --> 00:08:27,710
471
+ hiking, swimming and riding a motorcycle or a
472
+
473
+ 119
474
+ 00:08:27,710 --> 00:08:32,490
475
+ bicycle. Okay? What is wrong here? I'm trying to
476
+
477
+ 120
478
+ 00:08:32,490 --> 00:08:35,870
479
+ fix it. The production manager was asked to write
480
+
481
+ 121
482
+ 00:08:35,870 --> 00:08:39,990
483
+ his report quickly, accurately and in a thorough
484
+
485
+ 122
486
+ 00:08:39,990 --> 00:08:46,430
487
+ manner.So what we have here is an adverb, another
488
+
489
+ 123
490
+ 00:08:46,430 --> 00:08:49,710
491
+ adverb but here is a preposition and a phrase So
492
+
493
+ 124
494
+ 00:08:49,710 --> 00:08:54,450
495
+ how can we fix itุŸ So quickly, accurately and
496
+
497
+ 125
498
+ 00:08:54,450 --> 00:08:57,710
499
+ thoroughly So we change it into thoroughly.
500
+
501
+ 126
502
+ 00:08:57,810 --> 00:09:00,230
503
+ Thoroughly means accurately, meticulously.
504
+
505
+ 127
506
+ 00:09:00,710 --> 00:09:03,850
507
+ Thoroughly means accurately already in a detailed
508
+
509
+ 128
510
+ 00:09:03,850 --> 00:09:10,290
511
+ way So what is wrong here again and how can we fix
512
+
513
+ 129
514
+ 00:09:10,290 --> 00:09:17,290
515
+ itุŸ The cultureุงู„ุนุงู„ู…ูŠู† ูŠุฌุจ ุฃู† ูŠู†ุงู…ูˆุง ูƒุซูŠุฑ ูˆ ู„ุง
516
+
517
+ 130
518
+ 00:09:17,290 --> 00:09:21,110
519
+ ูŠุฃูƒู„ูˆุง ูƒุซูŠุฑ ูˆ ูŠูุนู„ูˆุง ุจุนุถ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ู‚ุจู„
520
+
521
+ 131
522
+ 00:09:21,110 --> 00:09:29,910
523
+ ุงู„ู„ุนุจุฉ ูˆ ูŠูุนู„ูˆุง
524
+
525
+ 132
526
+ 00:09:29,910 --> 00:09:34,750
527
+ ุจุนุถ ุงู„ุชุฌุงุฑุจ ุงู„ุชุฌุงุฑุจูŠุฉ ู‚ุจู„ ุงู„ู„ุนุจุฉ
528
+
529
+ 133
530
+ 00:09:37,930 --> 00:09:42,190
531
+ ุฃูˆ ู†ุณุชุทูŠุน ุฃู† ู†ูุนู„ู‡ุง ุจุทุฑูŠู‚ุฉ ุฃุฎุฑู‰ุŒ ุงู„ู…ุฏุฑุจ ุฃุฎุจุฑ
532
+
533
+ 134
534
+ 00:09:42,190 --> 00:09:49,930
535
+ ุงู„ู„ุงุนุจูŠู† ุฃู† ูŠุฃูƒู„ูˆุง ูˆ ู„ุง ูŠุฃูƒู„ูˆุง ูƒุซูŠุฑ ูˆ ูŠู‚ูˆู…ูˆุง ุจู…ุฌุฑู…
536
+
537
+ 135
538
+ 00:09:49,930 --> 00:09:52,910
539
+ ุชุฑุชูŠุจ. ูุงู„ู…ูู‡ูˆู… ุจุงู„ูู†ุงู†ูŠุฒู… ู‡ูˆ ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ุจู‚ู‰
540
+
541
+ 136
542
+ 00:09:52,910 --> 00:09:58,370
543
+ ู…ุฑุชุจุทุŒ ูŠุฌุจ ุฃู† ู†ุจู‚ู‰ ุฌู…ูŠุน ุงู„ุฃุดูŠุงุก ู…ุชุดุงุจู‡ุฉ ู„ู„ุดูƒู„ ุฃูˆ
544
+
545
+ 137
546
+ 00:09:58,370 --> 00:09:59,490
547
+ ุงู„ุดูƒู„ ุงู„ู…ุชุดุงุจู‡.
548
+
549
+ 138
550
+ 00:10:04,170 --> 00:10:08,310
551
+ the dictionary can be used for these purposes to
552
+
553
+ 139
554
+ 00:10:08,310 --> 00:10:13,560
555
+ find word meaningsto find word meanings, clear
556
+
557
+ 140
558
+ 00:10:13,560 --> 00:10:16,700
559
+ pronunciations, correct spellings and looking up
560
+
561
+ 141
562
+ 00:10:16,700 --> 00:10:22,220
563
+ irregular verbs okay so the problem is here which
564
+
565
+ 142
566
+ 00:10:22,220 --> 00:10:25,580
567
+ is not the same as these ones these ones are noun
568
+
569
+ 143
570
+ 00:10:25,580 --> 00:10:28,740
571
+ phrases word meanings, correct spellings, clear
572
+
573
+ 144
574
+ 00:10:28,740 --> 00:10:31,440
575
+ pronunciations whereas this one is a participial
576
+
577
+ 145
578
+ 00:10:31,440 --> 00:10:34,180
579
+ phrase beginning with a gerund with a verb plus
580
+
581
+ 146
582
+ 00:10:34,180 --> 00:10:39,320
583
+ ingit could be something like correct spellings
584
+
585
+ 147
586
+ 00:10:39,320 --> 00:10:46,220
587
+ and irregular verbs now it is a verb but now it is
588
+
589
+ 148
590
+ 00:10:46,220 --> 00:10:49,800
591
+ it is a noun phrase okay so we don't need looking
592
+
593
+ 149
594
+ 00:10:49,800 --> 00:10:55,240
595
+ up all of them now are noun phrases okay this is
596
+
597
+ 150
598
+ 00:10:55,240 --> 00:11:03,220
599
+ clear yes all right let's just do aand see if
600
+
601
+ 151
602
+ 00:11:03,220 --> 00:11:08,860
603
+ these sentences are parallel or not parallel okay
604
+
605
+ 152
606
+ 00:11:08,860 --> 00:11:11,100
607
+ let's look at the first one and check if this is a
608
+
609
+ 153
610
+ 00:11:11,100 --> 00:11:13,900
611
+ correct sentence or a parallel sentence or it has
612
+
613
+ 154
614
+ 00:11:13,900 --> 00:11:18,100
615
+ a problem in the balance of their grammatical
616
+
617
+ 155
618
+ 00:11:18,100 --> 00:11:25,530
619
+ structure okayThe manager wanted a staff who
620
+
621
+ 156
622
+ 00:11:25,530 --> 00:11:30,970
623
+ arrived on time, smiled at customers and worked
624
+
625
+ 157
626
+ 00:11:30,970 --> 00:11:33,970
627
+ hard on tasks. Correct or not? Yes it is a
628
+
629
+ 158
630
+ 00:11:33,970 --> 00:11:37,350
631
+ balanced structure. Okay let's see the second one.
632
+
633
+ 159
634
+ 00:11:38,070 --> 00:11:40,550
635
+ The second one. Yes please. ุงู„accession can
636
+
637
+ 160
638
+ 00:11:40,550 --> 00:11:42,570
639
+ include reading for pleasure, playing with your
640
+
641
+ 161
642
+ 00:11:42,570 --> 00:11:45,750
643
+ friends or to participate in sports. Okay so is it
644
+
645
+ 162
646
+ 00:11:45,750 --> 00:11:48,850
647
+ parallel? Of course not. We have here is German
648
+
649
+ 163
650
+ 00:11:48,850 --> 00:11:52,250
651
+ and German but this one is infinitive so it has to
652
+
653
+ 164
654
+ 00:11:52,250 --> 00:11:57,370
655
+ be and or participating. Participating in sports
656
+
657
+ 165
658
+ 00:11:57,370 --> 00:12:02,310
659
+ activities. Number three.one way to fight stress
660
+
661
+ 166
662
+ 00:12:02,310 --> 00:12:07,230
663
+ is to discuss your problem with either a friend or
664
+
665
+ 167
666
+ 00:12:07,230 --> 00:12:11,890
667
+ a relative yes it is a balance a correct structure
668
+
669
+ 168
670
+ 00:12:11,890 --> 00:12:14,710
671
+ all right so this is what we mean by the idea of
672
+
673
+ 169
674
+ 00:12:14,710 --> 00:12:17,910
675
+ the balance let's do some more activities now and
676
+
677
+ 170
678
+ 00:12:17,910 --> 00:12:21,810
679
+ choose the correct one from a b c or d yes please
680
+
681
+ 171
682
+ 00:12:33,650 --> 00:12:38,210
683
+ it has to be C is that correct? yes during our
684
+
685
+ 172
686
+ 00:12:38,210 --> 00:12:41,910
687
+ vacation in Egypt we hope to eat delicious food to
688
+
689
+ 173
690
+ 00:12:41,910 --> 00:12:45,170
691
+ enjoy beautiful sunsets and to visit amazing so
692
+
693
+ 174
694
+ 00:12:45,170 --> 00:12:48,290
695
+ infinitive infinitive and infinitive and the
696
+
697
+ 175
698
+ 00:12:48,290 --> 00:12:52,710
699
+ second one correct? yes please read it please
700
+
701
+ 176
702
+ 00:13:07,280 --> 00:13:10,260
703
+ it has to be parallel structure so which are the
704
+
705
+ 177
706
+ 00:13:10,260 --> 00:13:14,060
707
+ three who .. yes please .. yes Leah please parent
708
+
709
+ 178
710
+ 00:13:14,060 --> 00:13:16,980
711
+ thought that Ray was everything she wanted in a
712
+
713
+ 179
714
+ 00:13:16,980 --> 00:13:21,020
715
+ husband for they were tall intelligent and it has
716
+
717
+ 180
718
+ 00:13:21,020 --> 00:13:25,420
719
+ to be because they are all adjectives okay so
720
+
721
+ 181
722
+ 00:13:25,420 --> 00:13:28,540
723
+ adjective adjective and the last one is actually
724
+
725
+ 182
726
+ 00:13:28,540 --> 00:13:34,180
727
+ an adjective all right number threePasta boiling
728
+
729
+ 183
730
+ 00:13:34,180 --> 00:13:37,760
731
+ in water continue please yes please
732
+
733
+ 184
734
+ 00:13:56,410 --> 00:14:06,130
735
+ Difficult? No. Yes please. So it
736
+
737
+ 185
738
+ 00:14:06,130 --> 00:14:10,010
739
+ has to be B. Yes because we have pasta boiling,
740
+
741
+ 186
742
+ 00:14:10,730 --> 00:14:15,190
743
+ tomato sauce simmering and garlic bread baking so
744
+
745
+ 187
746
+ 00:14:15,190 --> 00:14:18,170
747
+ it has to be B because we have the same
748
+
749
+ 188
750
+ 00:14:18,170 --> 00:14:21,410
751
+ grammatical structure okay. Number four.
752
+
753
+ 189
754
+ 00:14:31,470 --> 00:14:34,430
755
+ all right that should be an easy one yes please at
756
+
757
+ 190
758
+ 00:14:34,430 --> 00:14:40,890
759
+ the back it has to be B yes it has to be B yes I
760
+
761
+ 191
762
+ 00:14:40,890 --> 00:14:43,290
763
+ don't ever want to be friends with Adam because he
764
+
765
+ 192
766
+ 00:14:43,290 --> 00:14:48,450
767
+ is too decorative too noisy and too polite so
768
+
769
+ 193
770
+ 00:14:48,450 --> 00:14:52,130
771
+ again we have adjective phrases in the three cases
772
+
773
+ 194
774
+ 00:14:52,130 --> 00:14:55,450
775
+ in the three structures okay the last one I think
776
+
777
+ 195
778
+ 00:15:16,410 --> 00:15:19,210
779
+ To buy a birthday gift for his friend, the average
780
+
781
+ 196
782
+ 00:15:19,210 --> 00:15:23,330
783
+ business is the florist for roses, the shop for a
784
+
785
+ 197
786
+ 00:15:23,330 --> 00:15:26,330
787
+ box of chocolates and the jeweler for inexpensive
788
+
789
+ 198
790
+ 00:15:26,330 --> 00:15:29,190
791
+ gold rings. Okay, so it has to be again .. be the
792
+
793
+ 199
794
+ 00:15:29,190 --> 00:15:33,130
795
+ jeweler for inexpensive .. so we have the florist
796
+
797
+ 200
798
+ 00:15:33,130 --> 00:15:36,170
799
+ for roses, the shop for a box of chocolates and
800
+
801
+ 201
802
+ 00:15:36,170 --> 00:15:40,430
803
+ the jeweler for inexpensive gold rings. So is this
804
+
805
+ 202
806
+ 00:15:40,430 --> 00:15:45,120
807
+ fair?ู‡ูˆ ู„ูŠุณ ุตุนุจ ุฌุฏุง ูˆู„ูƒู† ูŠุฌุจ ุฃู† ู†ุนุฑู ููŠ ุงู„ูƒุชุงุจุฉ
808
+
809
+ 203
810
+ 00:15:45,120 --> 00:15:48,880
811
+ ุฃู†ู†ุง ูŠุฌุจ ุฃู† ู†ุญุงูุธ ุนู„ู‰ ุฃุณู„ูˆุจุงุช ู…ุชูˆุงุตู„ุฉ ูƒู„ ุงู„ูˆู‚ุช
812
+
813
+ 204
814
+ 00:15:48,880 --> 00:15:54,600
815
+ ุนู†ุฏู…ุง ู†ู‚ู„ ุนุฏุฏ ู…ู† ุงู„ุฃุดูŠุงุก ููŠ ุณู„ุณู„ุฉ AุŒ ุญุณู†ู‹ุงุŸ ู‡ุฐู‡
816
+
817
+ 205
818
+ 00:15:54,600 --> 00:16:01,240
819
+ ุงู„ุนู…ู„ูŠุฉุŒ ุฃูˆุฏ ุฃู† ุชู‚ูˆู…ูˆุง ุจุฅุตู„ุงุญ ุงู„ู…ุดูƒู„ุฉ
820
+
821
+ 206
822
+ 00:16:01,240 --> 00:16:06,280
823
+ ุงู„ู…ุชูˆุงุตู„ุฉ ููŠ ูƒู„ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡ุฃุฎุฐ ูˆู‚ุชูƒ ูˆ ุงู‚ุฑุฃ ู‡ุฐู‡
824
+
825
+ 207
826
+ 00:16:06,280 --> 00:16:10,920
827
+ ุงู„ุฎู…ุณุฉ ุฃุณู„ูˆุจุงุช ูˆุชุญุงูˆู„ ุชุญุณูŠู† ูƒู„ ูˆุงุญุฏุฉ ู…ู† ู‡ุฐู‡
828
+
829
+ 208
830
+ 00:16:10,920 --> 00:16:12,220
831
+ ุงู„ุฃุณู„ูˆุจุงุช
832
+
833
+ 209
834
+ 00:16:32,770 --> 00:16:37,070
835
+ ู…ุงุฐุงุŸ ู…ุงุฐุง ูŠุนู†ูŠุŸ
836
+
837
+ 210
838
+ 00:16:56,570 --> 00:17:10,210
839
+ ู…ุด ุนุงุฑู ูƒุฏู‡
840
+
841
+ 211
842
+ 00:17:18,740 --> 00:17:25,020
843
+ take some notes and try to see the prior structure
844
+
845
+ 212
846
+ 00:17:25,020 --> 00:17:28,140
847
+ in each one of these sentences
848
+
849
+ 213
850
+ 00:17:40,960 --> 00:17:48,680
851
+ ู…ุด ุนุงู…ู„ูŠู† ู…ุงุฑูƒุชุดูˆู† ูˆู…ุด ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู†
852
+
853
+ 214
854
+ 00:17:48,680 --> 00:18:00,240
855
+ ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู† ู…ุงุฑูƒุชุดูˆู†
856
+
857
+ 215
858
+ 00:18:14,540 --> 00:18:18,260
859
+ ุงู„ุดูŠุก ุงู„ูˆุญูŠุฏ ุงู„ู„ูŠ ู…ู…ูƒู† ุงู† ุงู†ุง ุงุชูƒู„ู… ุนู†ู‡ ู‡ูˆ
860
+
861
+ 216
862
+ 00:18:21,010 --> 00:18:24,490
863
+ All right let's see it's the first one it is
864
+
865
+ 217
866
+ 00:18:24,490 --> 00:18:28,030
867
+ easier to tell the truth than lying to people you
868
+
869
+ 218
870
+ 00:18:28,030 --> 00:18:37,570
871
+ love than to lie exactly it is to tell than to lie
872
+
873
+ 219
874
+ 00:18:37,570 --> 00:18:41,080
875
+ so what we have here infinitive infinitive orwe
876
+
877
+ 220
878
+ 00:18:41,080 --> 00:18:44,260
879
+ can .. otherwise it is easier telling the truth
880
+
881
+ 221
882
+ 00:18:44,260 --> 00:18:48,680
883
+ than lying to people you love the second one
884
+
885
+ 222
886
+ 00:18:48,680 --> 00:18:55,480
887
+ managing your time at this place your money is
888
+
889
+ 223
890
+ 00:18:55,480 --> 00:19:00,700
891
+ excellent is preparing for the future so managing
892
+
893
+ 224
894
+ 00:19:00,700 --> 00:19:06,360
895
+ your time is preparing or
896
+
897
+ 225
898
+ 00:19:06,360 --> 00:19:12,290
899
+ is being preparedboth are correct is being
900
+
901
+ 226
902
+ 00:19:12,290 --> 00:19:16,130
903
+ prepared or is preparing for the future or we can
904
+
905
+ 227
906
+ 00:19:16,130 --> 00:19:20,790
907
+ do it the other way to manage your time well is to
908
+
909
+ 228
910
+ 00:19:20,790 --> 00:19:25,490
911
+ be prepared for the future okay number three yes
912
+
913
+ 229
914
+ 00:19:25,490 --> 00:19:36,610
915
+ please jan wanted a ghost story andand he showed
916
+
917
+ 230
918
+ 00:19:36,610 --> 00:19:40,210
919
+ us our movie it shouldn't be he showed us what is
920
+
921
+ 231
922
+ 00:19:40,210 --> 00:19:44,610
923
+ the correct one by showing exactly so john by
924
+
925
+ 232
926
+ 00:19:44,610 --> 00:19:52,270
927
+ telling us and showing and showing us our movie
928
+
929
+ 233
930
+ 00:19:52,270 --> 00:19:53,430
931
+ okay number four
932
+
933
+ 234
934
+ 00:19:56,540 --> 00:19:59,440
935
+ he wanted to leave tennis out of college to master
936
+
937
+ 235
938
+ 00:19:59,440 --> 00:20:04,180
939
+ a skill to make good friends and to learn and to
940
+
941
+ 236
942
+ 00:20:04,180 --> 00:20:08,360
943
+ .. very nice and to learn about life infinitive
944
+
945
+ 237
946
+ 00:20:08,360 --> 00:20:12,460
947
+ infinitive and infinitive the last sentence in
948
+
949
+ 238
950
+ 00:20:12,460 --> 00:20:18,150
951
+ this slidethe project plan is a creative but a
952
+
953
+ 239
954
+ 00:20:18,150 --> 00:20:21,150
955
+ risk so we have here we have an adjective and we
956
+
957
+ 240
958
+ 00:20:21,150 --> 00:20:23,950
959
+ have a noun or a noun if it is to be accurate so
960
+
961
+ 241
962
+ 00:20:23,950 --> 00:20:28,670
963
+ what we have to do is make them both as adjectives
964
+
965
+ 242
966
+ 00:20:28,670 --> 00:20:35,070
967
+ or as nouns so what is the correct one ุจุท ุฑุณูƒูŠ
968
+
969
+ 243
970
+ 00:20:35,070 --> 00:20:40,390
971
+ creative but risky
972
+
973
+ 244
974
+ 00:20:41,750 --> 00:20:45,730
975
+ now it is adjective it is an adjective so the
976
+
977
+ 245
978
+ 00:20:45,730 --> 00:20:49,850
979
+ project plan is creative but risky all right okay
980
+
981
+ 246
982
+ 00:20:49,850 --> 00:20:52,850
983
+ let's see the second slide and please do the same
984
+
985
+ 247
986
+ 00:20:52,850 --> 00:20:58,030
987
+ try to fix the problems in each one of these
988
+
989
+ 248
990
+ 00:20:58,030 --> 00:20:59,430
991
+ sentences
992
+
993
+ 249
994
+ 00:21:39,460 --> 00:21:46,480
995
+ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุงู„ู€
996
+
997
+ 250
998
+ 00:22:12,580 --> 00:22:14,360
999
+ ุนุดุงู† ุงุดุชุบู„ุช ููŠ ุงู„ู€
1000
+
1001
+ 251
1002
+ 00:22:26,380 --> 00:22:29,940
1003
+ ู…ุด ุนุงุฑููŠู† ุฅูŠู‡ ุงู„ success ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ุŸ ู…ุด ุนุงุฑููŠู†
1004
+
1005
+ 252
1006
+ 00:22:29,940 --> 00:22:33,720
1007
+ ุฅูŠู‡ ุงู„ success
1008
+
1009
+ 253
1010
+ 00:22:33,720 --> 00:22:38,160
1011
+ ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ุŸ
1012
+
1013
+ 254
1014
+ 00:22:38,160 --> 00:22:41,540
1015
+ ู…ุด ุนุงุฑููŠู† ุฅูŠู‡ ุงู„ success ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ุŸ ู…ุด ุนุงุฑููŠู†
1016
+
1017
+ 255
1018
+ 00:22:41,540 --> 00:22:46,060
1019
+ ุฅูŠู‡ ุงู„ success ุงู„ู„ูŠ ุจูŠุนู…ู„ูˆู‡ุŸ
1020
+
1021
+ 256
1022
+ 00:22:46,550 --> 00:22:59,890
1023
+ ุฃู†ุง ุฃุญุจ ุฃู† ุฃุญุจ ุฃู† ุฃุญุจ ุฃู† ุฃุญุจ ุฃู† ุฃุญุจ ุฃู† ุฃุญุจ ุฃู†
1024
+
1025
+ 257
1026
+ 00:22:59,890 --> 00:23:12,970
1027
+ ุฃุญุจ
1028
+
1029
+ 258
1030
+ 00:23:12,970 --> 00:23:14,510
1031
+ ุฃู† ุฃุญุจ
1032
+
1033
+ 259
1034
+ 00:23:19,530 --> 00:23:25,930
1035
+ ู…ุจุงุฑุฒุฉุŒ ู…ุจุงุฑุฒุฉุŒ ู…ุจุงุฑุฒุฉุŒ ู…ุจุงุฑุฒุฉ
1036
+
1037
+ 260
1038
+ 00:23:31,630 --> 00:23:35,670
1039
+ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ูˆุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ
1040
+
1041
+ 261
1042
+ 00:23:35,670 --> 00:23:37,310
1043
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
1044
+
1045
+ 262
1046
+ 00:23:37,310 --> 00:23:37,810
1047
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
1048
+
1049
+ 263
1050
+ 00:23:37,810 --> 00:23:39,870
1051
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
1052
+
1053
+ 264
1054
+ 00:23:39,870 --> 00:23:41,370
1055
+ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ
1056
+
1057
+ 265
1058
+ 00:23:41,370 --> 00:23:43,730
1059
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
1060
+
1061
+ 266
1062
+ 00:23:43,730 --> 00:23:50,330
1063
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ
1064
+
1065
+ 267
1066
+ 00:23:50,330 --> 00:23:54,150
1067
+ ุจุงู„ุฅู†ุฌู„ูŠุฒูŠ ุฃุดุนุฑ ุจุงู„ุฅ
1068
+
1069
+ 268
1070
+ 00:24:11,150 --> 00:24:14,070
1071
+ All right let's see number six yes at the back
1072
+
1073
+ 269
1074
+ 00:24:14,070 --> 00:24:19,010
1075
+ please ุฏูŠู†ุง doesn't
1076
+
1077
+ 270
1078
+ 00:24:19,010 --> 00:24:24,210
1079
+ like to sing, dance or actor actor or we can say
1080
+
1081
+ 271
1082
+ 00:24:24,210 --> 00:24:28,090
1083
+ he doesn't like singing bands or acting all right
1084
+
1085
+ 272
1086
+ 00:24:28,090 --> 00:24:31,630
1087
+ number seven guess once please the witness
1088
+
1089
+ 273
1090
+ 00:24:31,630 --> 00:24:34,290
1091
+ described the suspect as tall, light skinned and
1092
+
1093
+ 274
1094
+ 00:24:34,290 --> 00:24:38,550
1095
+ bearded and bearded okay but because we have
1096
+
1097
+ 275
1098
+ 00:24:38,550 --> 00:24:42,050
1099
+ adjective light skinned adjective and this one
1100
+
1101
+ 276
1102
+ 00:24:42,050 --> 00:24:44,610
1103
+ there's a preposition in the phrase so it's not
1104
+
1105
+ 277
1106
+ 00:24:44,610 --> 00:24:49,220
1107
+ balanced so it has to be beardedSo bearded is the
1108
+
1109
+ 278
1110
+ 00:24:49,220 --> 00:24:54,040
1111
+ adjective of a person with a beard. So he is
1112
+
1113
+ 279
1114
+ 00:24:54,040 --> 00:25:01,060
1115
+ bearded. Okay C number eightOkay in English class
1116
+
1117
+ 280
1118
+ 00:25:01,060 --> 00:25:05,740
1119
+ Tim learned to read poems critically and he
1120
+
1121
+ 281
1122
+ 00:25:05,740 --> 00:25:10,940
1123
+ appreciated good poems. So it has to be and to
1124
+
1125
+ 282
1126
+ 00:25:10,940 --> 00:25:16,140
1127
+ appreciate. So it is again learn to read and to
1128
+
1129
+ 283
1130
+ 00:25:16,140 --> 00:25:22,700
1131
+ appreciate poems, good poems. Okay? Number nine.
1132
+
1133
+ 284
1134
+ 00:25:23,040 --> 00:25:28,340
1135
+ We found Thelma Eastleigh's. Guess who that?we
1136
+
1137
+ 285
1138
+ 00:25:28,340 --> 00:25:32,320
1139
+ concept offensive and we thought it was
1140
+
1141
+ 286
1142
+ 00:25:32,320 --> 00:25:37,180
1143
+ embarrassing okay now we thought this is like a
1144
+
1145
+ 287
1146
+ 00:25:37,180 --> 00:25:40,020
1147
+ full sentence this is a clause but we don't need a
1148
+
1149
+ 288
1150
+ 00:25:40,020 --> 00:25:43,140
1151
+ sentence here we found an adjective offensive is
1152
+
1153
+ 289
1154
+ 00:25:43,140 --> 00:25:46,960
1155
+ another adjective and embarrassing
1156
+
1157
+ 290
1158
+ 00:25:50,010 --> 00:25:54,310
1159
+ embarrassing adjective adjective and adjective
1160
+
1161
+ 291
1162
+ 00:25:54,310 --> 00:25:59,030
1163
+ okay all right number ten number ten yes please
1164
+
1165
+ 292
1166
+ 00:25:59,030 --> 00:26:02,270
1167
+ and
1168
+
1169
+ 293
1170
+ 00:26:02,270 --> 00:26:06,570
1171
+ arrange or you can even say and conveniently
1172
+
1173
+ 294
1174
+ 00:26:06,570 --> 00:26:10,270
1175
+ arrange because here it is part of an adjective
1176
+
1177
+ 295
1178
+ 00:26:10,270 --> 00:26:14,630
1179
+ phrase and all of them are adjective phrases in
1180
+
1181
+ 296
1182
+ 00:26:14,630 --> 00:26:15,790
1183
+ grammatical terms
1184
+
1185
+ 297
1186
+ 00:26:28,700 --> 00:26:30,100
1187
+ ุงู„ุนุฒูŠุฒุฉ
1188
+
1189
+ 298
1190
+ 00:26:36,600 --> 00:26:40,280
1191
+ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู…
1192
+
1193
+ 299
1194
+ 00:26:40,280 --> 00:26:42,160
1195
+ ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด
1196
+
1197
+ 300
1198
+ 00:26:42,160 --> 00:26:46,220
1199
+ ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู†
1200
+
1201
+ 301
1202
+ 00:26:46,220 --> 00:26:48,860
1203
+ ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู
1204
+
1205
+ 302
1206
+ 00:26:48,860 --> 00:26:51,440
1207
+ ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ
1208
+
1209
+ 303
1210
+ 00:26:51,440 --> 00:26:53,400
1211
+ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง
1212
+
1213
+ 304
1214
+ 00:26:53,400 --> 00:26:59,080
1215
+ ุงุชูƒู„ู… ุนู† ุดุนุจ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจ
1216
+
1217
+ 305
1218
+ 00:26:59,080 --> 00:27:02,280
1219
+ ุงู…ุฑูŠูƒูŠ ู…ุด ุนุงุฑู ุงู†ุง ุงุชูƒู„ู… ุนู† ุดุนุจุฃุจู‚ู‰ ู‚ุงุนุฏุฉ ู…ู…ูƒู†
1220
+
1221
+ 306
1222
+ 00:27:02,280 --> 00:27:05,620
1223
+ ู‡ูŠุฌูŠุจ ุฌุฏูŠุฏ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1224
+
1225
+ 307
1226
+ 00:27:05,620 --> 00:27:07,440
1227
+ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1228
+
1229
+ 308
1230
+ 00:27:07,440 --> 00:27:10,060
1231
+ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1232
+
1233
+ 309
1234
+ 00:27:10,060 --> 00:27:11,960
1235
+ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1236
+
1237
+ 310
1238
+ 00:27:11,960 --> 00:27:13,620
1239
+ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1240
+
1241
+ 311
1242
+ 00:27:13,620 --> 00:27:16,980
1243
+ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰ ุนุดุงู† ูŠุจู‚ู‰
1244
+
1245
+ 312
1246
+ 00:27:16,980 --> 00:27:21,780
1247
+ ุนุดุงู† ูŠ
1248
+
1249
+ 313
1250
+ 00:27:21,820 --> 00:27:25,380
1251
+ ุงู„ููŠุฏูŠูˆ ุงู„ู…ุฑุญู„ูŠุฉ ู„ุนุงู… 2016 ูƒุงู†ุช ู…ุตู†ุนูŠุฉ ุชู‚ูˆูŠุฉ
1252
+
1253
+ 314
1254
+ 00:27:25,380 --> 00:27:30,240
1255
+ ProvenceุŒ ุชู‚ู†ูŠุฉ ุชู‚ุฑุงุฑ ุนู„ู‰ ุงู„ุงุณู… ุงู„ูˆุทู†ุงู†ูŠ Provence
1256
+
1257
+ 315
1258
+ 00:27:55,730 --> 00:28:04,550
1259
+ ู…ุด ู…ูุฑุด ุงู„ู„ูŠ .. ู…ุด ู…ูุฑุด ุงู„ู„ูŠ .. ู…ุด ู…ูุฑุด ุงู„ู„ูŠ .. ู…ุด
1260
+
1261
+ 316
1262
+ 00:28:04,550 --> 00:28:05,350
1263
+ ู…ูุฑุด ุงู„ู„ูŠ ..
1264
+
1265
+ 317
1266
+ 00:28:16,360 --> 00:28:17,760
1267
+ ุงู„ุนุฑุจูŠุฉ
1268
+
1269
+ 318
1270
+ 00:28:59,110 --> 00:29:02,630
1271
+ ุงู„ุนุงู„ู… ุงู„ุณุงุจู‚ ุฃู† ูƒุงู†ุช ู…ุตุฑ ุฃู‡ู… ู…ุฏุฑุณุฉ
1272
+
1273
+ 319
1274
+ 00:29:26,780 --> 00:29:31,950
1275
+ ุญุณู†ุง ุฏุนูˆู†ุง ู†ุฑู‰ ุฑู‚ู… 11it's a bit challenging one
1276
+
1277
+ 320
1278
+ 00:29:31,950 --> 00:29:39,850
1279
+ yes please and and
1280
+
1281
+ 321
1282
+ 00:29:39,850 --> 00:29:43,830
1283
+ very nice and and extremely pleasant personally
1284
+
1285
+ 322
1286
+ 00:29:43,830 --> 00:29:49,830
1287
+ Sabrina has wet charm okay and all right let's
1288
+
1289
+ 323
1290
+ 00:29:49,830 --> 00:29:54,010
1291
+ analyze the sentence what do we have hereุŸ ู†ุนู… wet
1292
+
1293
+ 324
1294
+ 00:29:54,010 --> 00:29:58,070
1295
+ means smallness cleverness ู†ุนู… what do we have
1296
+
1297
+ 325
1298
+ 00:29:58,070 --> 00:30:04,010
1299
+ hereุŸ ู†ุนู… alsoOkay and what do we have here? Any
1300
+
1301
+ 326
1302
+ 00:30:04,010 --> 00:30:06,810
1303
+ sentence, is that correct? So we cannot have a
1304
+
1305
+ 327
1306
+ 00:30:06,810 --> 00:30:10,190
1307
+ noun, a noun and a sentence so they all have to be
1308
+
1309
+ 328
1310
+ 00:30:10,190 --> 00:30:15,210
1311
+ nouns or they have to be sentences We take the
1312
+
1313
+ 329
1314
+ 00:30:15,210 --> 00:30:21,090
1315
+ easy one, so Sabrina has wed a child and there is
1316
+
1317
+ 330
1318
+ 00:30:21,090 --> 00:30:24,450
1319
+ no need for a sentence and Anne extremely pleasant
1320
+
1321
+ 331
1322
+ 00:30:26,030 --> 00:30:29,030
1323
+ personality a noun phrase or noun phrase and this
1324
+
1325
+ 332
1326
+ 00:30:29,030 --> 00:30:31,730
1327
+ one is a noun phrase we just removed she has
1328
+
1329
+ 333
1330
+ 00:30:31,730 --> 00:30:35,470
1331
+ because this would make it a sentence okay number
1332
+
1333
+ 334
1334
+ 00:30:35,470 --> 00:30:40,350
1335
+ twelve during class Sammy spent his time talking
1336
+
1337
+ 335
1338
+ 00:30:40,350 --> 00:30:43,930
1339
+ to Ahmed he ate a candy and squibbled in his
1340
+
1341
+ 336
1342
+ 00:30:43,930 --> 00:30:45,990
1343
+ assignment she said yes please
1344
+
1345
+ 337
1346
+ 00:30:52,370 --> 00:30:57,050
1347
+ very nice and scribbling okay so he spent his time
1348
+
1349
+ 338
1350
+ 00:30:57,050 --> 00:31:03,990
1351
+ doing what? cooking okay eating and scribbling has
1352
+
1353
+ 339
1354
+ 00:31:03,990 --> 00:31:09,790
1355
+ to be scribbling ุฌุฑู† ุฌุฑู† ุฌุฑู† okay or participative
1356
+
1357
+ 340
1358
+ 00:31:09,790 --> 00:31:10,290
1359
+ phrasing
1360
+
1361
+ 341
1362
+ 00:31:14,690 --> 00:31:18,390
1363
+ Is it a difficult one? I don't think so. Yes
1364
+
1365
+ 342
1366
+ 00:31:18,390 --> 00:31:21,590
1367
+ please. Alex looked everywhere for his math book
1368
+
1369
+ 343
1370
+ 00:31:21,590 --> 00:31:25,510
1371
+ under the bed on his desk and inside the
1372
+
1373
+ 344
1374
+ 00:31:25,510 --> 00:31:28,410
1375
+ refrigerator. Yes there is no need for he searched
1376
+
1377
+ 345
1378
+ 00:31:28,410 --> 00:31:31,090
1379
+ inside because this is a sentence so it has to be
1380
+
1381
+ 346
1382
+ 00:31:31,090 --> 00:31:38,390
1383
+ and inside the refrigerator and inside so
1384
+
1385
+ 347
1386
+ 00:31:38,390 --> 00:31:41,550
1387
+ prepositional phrase prepositional phrase and a
1388
+
1389
+ 348
1390
+ 00:31:41,550 --> 00:31:45,440
1391
+ third prepositionalFrench okay. Let's see the last
1392
+
1393
+ 349
1394
+ 00:31:45,440 --> 00:31:48,820
1395
+ one. Yes please. Ali was a poor student because he
1396
+
1397
+ 350
1398
+ 00:31:48,820 --> 00:31:52,500
1399
+ waited until the last minute to study and
1400
+
1401
+ 351
1402
+ 00:31:52,500 --> 00:31:58,980
1403
+ completed his lab problems curiously.and had a low
1404
+
1405
+ 352
1406
+ 00:31:58,980 --> 00:32:02,700
1407
+ motivation excellent had a low motivation is that
1408
+
1409
+ 353
1410
+ 00:32:02,700 --> 00:32:05,480
1411
+ correct of course because I just said excellent
1412
+
1413
+ 354
1414
+ 00:32:05,480 --> 00:32:08,760
1415
+ all right very good all right all right how do we
1416
+
1417
+ 355
1418
+ 00:32:08,760 --> 00:32:10,780
1419
+ how did you fix it what is your rationale for this
1420
+
1421
+ 356
1422
+ 00:32:10,780 --> 00:32:13,420
1423
+ what is your justification for using this past
1424
+
1425
+ 357
1426
+ 00:32:13,420 --> 00:32:16,280
1427
+ simple past simple the second one has to be then
1428
+
1429
+ 358
1430
+ 00:32:16,280 --> 00:32:19,180
1431
+ past simple and the last one do you notice it it's
1432
+
1433
+ 359
1434
+ 00:32:19,180 --> 00:32:23,770
1435
+ a sentenceู…ะพั‚ะธะฒุงุชู‡ ูƒุงู†ุช ุงู†ู‡ ูŠุฌุจ ุฃู† ูŠุชุบูŠุฑู‡ุง ุฅู„ู‰
1436
+
1437
+ 360
1438
+ 00:32:23,770 --> 00:32:30,090
1439
+ ู‚ูŠู…ุฉ ู…ุงุถูŠุฉ ูˆูƒุงู† ู„ู‡ุง
1440
+
1441
+ 361
1442
+ 00:32:30,090 --> 00:32:37,130
1443
+ ู…ะพั‚ะธะฒุงุช ู…ุงุถูŠุฉ ู„ุฐุง ู…ุง ู„ุฏูŠู†ุง ู‡ู†ุง ู…ุตุทู„ุญุงุช ููŠ ุงู„ู…ุงุถูŠ
1444
+
1445
+ 362
1446
+ 00:32:37,130 --> 00:32:42,010
1447
+ ูˆูƒุงู† ูŠู†ุชุธุฑ ุญุชู‰ ุงู„ู„ุญุธุฉ ุงู„ุฃุฎูŠุฑุฉ ูˆูƒุงู† ุฏุงุฆู…ุง ูŠูƒู…ู„ ุงูˆ
1448
+
1449
+ 363
1450
+ 00:32:42,010 --> 00:32:47,990
1451
+ ูŠูƒู…ู„ ู…ุดุงูƒู„ ุงู„ุนู…ู„ูŠ ุจุทุฑูŠู‚ุฉ ู…ุงุถูŠุฉ ู…ุงุถูŠุฉ ูˆูƒุงู† ู„ู‡ุง
1452
+
1453
+ 364
1454
+ 00:32:47,990 --> 00:32:51,430
1455
+ ู…ะพั‚ะธะฒุงุช ู…ุงุถูŠุฉIs this clear? So in each case of
1456
+
1457
+ 365
1458
+ 00:32:51,430 --> 00:32:54,070
1459
+ these questions, of these statements, we make sure
1460
+
1461
+ 366
1462
+ 00:32:54,070 --> 00:32:57,510
1463
+ that there is a parallel structure. Do we have
1464
+
1465
+ 367
1466
+ 00:32:57,510 --> 00:33:01,410
1467
+ time? Yes, we have time for one .. I'd like you to
1468
+
1469
+ 368
1470
+ 00:33:01,410 --> 00:33:04,110
1471
+ just write two sentences, okay? Write two
1472
+
1473
+ 369
1474
+ 00:33:04,110 --> 00:33:07,170
1475
+ sentences making sure that you list a number of
1476
+
1477
+ 370
1478
+ 00:33:07,170 --> 00:33:10,690
1479
+ things and you maintain parallelism. Let's talk
1480
+
1481
+ 371
1482
+ 00:33:10,690 --> 00:33:12,110
1483
+ about the first one, Gaza.
1484
+
1485
+ 372
1486
+ 00:33:15,080 --> 00:33:20,520
1487
+ ูˆ ูƒุชุงุจุฉ ุนู† ุบุงุฒุง ุญูŠุซ ูŠูˆุฌุฏ ู„ุฏูŠูƒ ุฑู‚ู… ู…ู† ุงู„ุฃุดูŠุงุก ุงู„ุชูŠ
1488
+
1489
+ 373
1490
+ 00:33:20,520 --> 00:33:25,560
1491
+ ุชุจู‚ู‰ ู…ุณุชู…ุฑูŠู† ููŠ ุงู„ุงู†ุชุฌุงุฑ ูˆุงู„ุซุงู†ูŠุฉ ู‡ูŠ .. ู…ุงุฐุง ุชูุถู„ุŸ
1492
+
1493
+ 374
1494
+ 00:33:25,560 --> 00:33:33,240
1495
+ ู…ุฏุฑุณุฉ .. ู…ุฏุฑุณุฉุŸ ุญุณู†ุงุŒ ู…ุฏุฑุณุงุชู†ุง ูู‚ุท
1496
+
1497
+ 375
1498
+ 00:33:33,240 --> 00:33:38,180
1499
+ ูƒุชุงุจุฉ ูˆุงุญุฏุฉ ู…ุซู„ ู‡ุฐู‡ ุชุจู‚ู‰ ู…ุณุชู…ุฑูŠู† ููŠ ุงู„ุงู†ุชุฌุงุฑุŒ
1500
+
1501
+ 376
1502
+ 00:33:38,180 --> 00:33:40,660
1503
+ ุญุณู†ุงุŸ ุฌูŠุฏ ุฌุฏู‹ุงุŒ ุณู†ูƒูˆู† ู‡ู†ุงูƒ ู‚ู„ูŠู„ ู…ู† ุงู„ู„ุญุธุฉุŒ ุฃุฑุฌูˆูƒ
1504
+
1505
+ 377
1506
+ 00:33:44,340 --> 00:33:48,600
1507
+ ูƒุฐู„ูƒ ูƒุชุงุจุฉ ูƒู„ู…ุฉ ุนู† ุบุงุฒุง ูˆ ูƒู„ู…ุฉ ุนู† ู…ุฏุฑุณุชู†ุง ู„ุชุฃูƒุฏ
1508
+
1509
+ 378
1510
+ 00:33:48,600 --> 00:33:52,660
1511
+ ุฃู†ูƒ ู„ุฏูŠูƒ ุฑู‚ู… ู…ู† ุงู„ุฃุดูŠุงุก ูˆ ู‡ุฐู‡ ุงู„ุฃุดูŠุงุก ููŠ ู…ุฌู„ุณ
1512
+
1513
+ 379
1514
+ 00:33:52,660 --> 00:33:52,660
1515
+ ูƒุชุงุจุฉ
1516
+
1517
+ 380
1518
+ 00:34:22,570 --> 00:34:37,510
1519
+ ุฃู†ุง ุฃุชู…ู†ู‰ ุฃู†
1520
+
1521
+ 381
1522
+ 00:34:37,510 --> 00:34:41,090
1523
+ ูŠูƒูˆู† ู‡ู†ุงูƒ ู…ุฌุชู…ุน ูŠุชุนุงู…ู„ ู…ุน ุงู„ู…ุฌุชู…ุน ุจุดูƒู„ ูƒุงู…
1524
+
1525
+ 382
1526
+ 00:35:01,260 --> 00:35:07,200
1527
+ ุงู„ุณู„ุงู… ุนู„ูŠูƒู… ูˆุฑุญู…ุฉ ุงู„ู„ู‡ ูˆุจุฑูƒุงุชู‡
1528
+
1529
+ 383
1530
+ 00:35:13,670 --> 00:35:17,470
1531
+ ู‡ุฐุง ู‡ูˆ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ู…ุดูŠ ุนู„ู‰ ุงู„ุจุฑู†ุงู…ุฌ
1532
+
1533
+ 384
1534
+ 00:35:17,470 --> 00:35:21,410
1535
+ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰
1536
+
1537
+ 385
1538
+ 00:35:21,410 --> 00:35:21,950
1539
+ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ
1540
+
1541
+ 386
1542
+ 00:35:21,950 --> 00:35:23,750
1543
+ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ
1544
+
1545
+ 387
1546
+ 00:35:23,750 --> 00:35:25,050
1547
+ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰
1548
+
1549
+ 388
1550
+ 00:35:25,050 --> 00:35:25,050
1551
+ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ
1552
+
1553
+ 389
1554
+ 00:35:25,050 --> 00:35:25,050
1555
+ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ
1556
+
1557
+ 390
1558
+ 00:35:25,050 --> 00:35:27,070
1559
+ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰
1560
+
1561
+ 391
1562
+ 00:35:27,070 --> 00:35:34,090
1563
+ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจู‚ู‰ ููŠ ุงู„ุจุฑู†ุงู…ุฌ ุงู„ู„ูŠ ุจ
1564
+
1565
+ 392
1566
+ 00:35:49,600 --> 00:35:57,420
1567
+ ู…ุด ุทูŠุจ ุงู†ุง
1568
+
1569
+ 393
1570
+ 00:35:57,420 --> 00:35:57,720
1571
+ ูŠุนุฑู
1572
+
1573
+ 394
1574
+ 00:36:19,810 --> 00:36:25,170
1575
+ ุฎู„ุงุตุŸ ุฎู„ุงุตุŸ ุญุณู†ุงุŒ ู…ู† ูŠุฑุบุจ ุจุงู„ุนู„ู… ุนู† ุบุงุฒุง ู…ุน ุฃุณู„ูˆุจ
1576
+
1577
+ 395
1578
+ 00:36:25,170 --> 00:36:31,410
1579
+ ParallelุŸYes please. Gaza has streets, cars and
1580
+
1581
+ 396
1582
+ 00:36:31,410 --> 00:36:36,890
1583
+ malls. Okay and malls. So streets, cars and malls.
1584
+
1585
+ 397
1586
+ 00:36:36,930 --> 00:36:40,030
1587
+ Very nice. Another thing. Another thing. Another
1588
+
1589
+ 398
1590
+ 00:36:40,030 --> 00:36:43,650
1591
+ sentence on Gaza. Yes please. Gaza citizens are
1592
+
1593
+ 399
1594
+ 00:36:43,650 --> 00:36:47,530
1595
+ patient, strong and great. Yes. Gaza people or the
1596
+
1597
+ 400
1598
+ 00:36:47,530 --> 00:36:50,530
1599
+ people of Gaza or the people of Palestine are
1600
+
1601
+ 401
1602
+ 00:36:50,530 --> 00:36:51,350
1603
+ patient
1604
+
1605
+ 402
1606
+ 00:36:57,130 --> 00:37:06,710
1607
+ Gaza will always be
1608
+
1609
+ 403
1610
+ 00:37:06,710 --> 00:37:10,250
1611
+ direct triumphant
1612
+
1613
+ 404
1614
+ 00:37:25,840 --> 00:37:31,760
1615
+ Resilient and hopeful
1616
+
1617
+ 405
1618
+ 00:37:36,350 --> 00:37:40,570
1619
+ ุงู„ุนู„ู… ูŠุฌุจ ุฃู† ูŠูƒูˆู† ู…ูุชูˆุญ ูˆู…ู‚ุงูˆู… ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู†
1620
+
1621
+ 406
1622
+ 00:37:40,570 --> 00:37:42,350
1623
+ ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู†
1624
+
1625
+ 407
1626
+ 00:37:42,350 --> 00:37:45,150
1627
+ ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู†
1628
+
1629
+ 408
1630
+ 00:37:45,150 --> 00:37:49,570
1631
+ ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู†
1632
+
1633
+ 409
1634
+ 00:37:49,570 --> 00:37:55,250
1635
+ ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู†
1636
+
1637
+ 410
1638
+ 00:37:55,250 --> 00:38:06,030
1639
+ ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆู…ุทู…ุฆู† ูˆ
1640
+
1641
+ 411
1642
+ 00:38:06,780 --> 00:38:10,460
1643
+ Okay it was what you said then so what? Okay our
1644
+
1645
+ 412
1646
+ 00:38:10,460 --> 00:38:14,240
1647
+ university has
1648
+
1649
+ 413
1650
+ 00:38:14,240 --> 00:38:17,360
1651
+ excellent
1652
+
1653
+ 414
1654
+ 00:38:17,360 --> 00:38:20,620
1655
+ faculty
1656
+
1657
+ 415
1658
+ 00:38:20,620 --> 00:38:21,560
1659
+ members
1660
+
1661
+ 416
1662
+ 00:38:29,980 --> 00:38:36,160
1663
+ good facilities and
1664
+
1665
+ 417
1666
+ 00:38:36,160 --> 00:38:43,280
1667
+ .. and high efficiency
1668
+
1669
+ 418
1670
+ 00:38:47,450 --> 00:38:51,290
1671
+ Okay in management and in management and
1672
+
1673
+ 419
1674
+ 00:38:51,290 --> 00:38:54,790
1675
+ technology okay and that's all we have here noun
1676
+
1677
+ 420
1678
+ 00:38:54,790 --> 00:38:59,210
1679
+ phrase noun phrase and another noun phrase in
1680
+
1681
+ 421
1682
+ 00:38:59,210 --> 00:39:03,390
1683
+ another noun phrase okay all right now so this is
1684
+
1685
+ 422
1686
+ 00:39:03,390 --> 00:39:05,430
1687
+ what we've been talking about in this class make
1688
+
1689
+ 423
1690
+ 00:39:05,430 --> 00:39:08,030
1691
+ sure make sure that in every time you write
1692
+
1693
+ 424
1694
+ 00:39:08,030 --> 00:39:10,930
1695
+ sentences make sure that you have a parallel
1696
+
1697
+ 425
1698
+ 00:39:10,930 --> 00:39:13,610
1699
+ structure thank you very much and I'll see you
1700
+
1701
+ 426
1702
+ 00:39:13,610 --> 00:39:15,890
1703
+ next time inshallah thank you
1704
+