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ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู… ุทุจุนุง ุฃู‡ู„ุง ูˆุณู‡ู„ุง ููŠูƒู… ููŠ ูˆุตู
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ู‚ุงุฆู„ ุงู„ุญุงู„ูŠ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ูˆุถูˆุน ุงู„ู„ูŠ ู‡ู†ุดุฑู‡ ุงู† ุดุงุก ุงู„ู„ู‡
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ุงู„ู„ูŠ ู‡ูŠ ู…ูˆุถูˆุน ุงู„ time series analysis ูƒุชูŠุฑ ู…ู†
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ุงู„ุดุจุงุจ ุจูŠุณุฃู„ ูŠุนู†ูŠ ุฅูŠุด ู‡ูŠ ุงู„ time series ููŠ ูƒุชูŠุฑ
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ู†ุงุณ ู…ุด ุนุงุฑูุฉ ุฅูŠุด ุงู„ time series what is a time
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series ุจุตุฑุงุญุฉ ุงู„ time series ู‡ูŠ ุจุดูƒู„ ุนุงู… ุนุจุงุฑุฉ ุนู†
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collection of data ูˆ ุจู†ุฑู…ุฒ ู„ู‡ุง ุจุงู„ุฑู…ุฒ XT ู‡ุงูŠ ุงู„
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data recorded over a period of timeู‡ุฐุง ุงู„ time
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ู…ู…ูƒู† ูŠูƒูˆู† dayุŒ ู…ู…ูƒู† ูŠูƒูˆู† weekุŒ ู…ู…ูƒู† ูŠูƒูˆู† monthุŒ
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ู…ู…ูƒู† ูŠูƒูˆู† quarterุŒ ู…ู…ูƒู† ูŠูƒูˆู† yearุŒ day ูŠุนู†ูŠ ูŠูˆู…ุŒ
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ุฃุณุจูˆุนุŒ ุดู‡ุฑุŒ ูุตู„ ุฃูˆ ู…ูˆุณู… ุฃูˆ ุณู†ุฉ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
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ุงุญู†ุง ุจู†ุฌู…ุนู‡ุง ูŠุง ุดุจุงุจ ุนุจุงุฑุฉ ุนู† ุจูŠุงู†ุงุช ุจู†ุณู…ูŠู‡ุง ุงู„
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time series ู…ุงุดูŠ ุงู„ุญุงู„ ุงู„ู‡ุฏู ู…ู† ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ู„ู…ุง
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ู†ุฌู…ุนู‡ุง ุฃู†ู‡ ู†ุนู…ู„ ู…ู†ู‡ุง analyzing ุชุญู„ูŠู„ analyze to
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understand the past ุนุดุงู† ู†ูู‡ู… ุงู„ู…ุงุถูŠุจู‡ุฏู in order
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to predict the future ุจู‡ุฏู ุงู†ู‡ ู†ุนู…ู„ prediction ู„ู„
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future ู‡ู„ุง ูƒู„ู…ุฉ predict ู‡ุงูŠ ุจู†ุณุชุจุฏู„ู‡ุง ููŠ ุงู„ุณู„ุงุณู„
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ุงู„ุฒู…ู†ูŠุฉ ุจูƒู„ู…ุฉ forecast ู‡ู„ุง ุงู„ูุฑู‚ ุจูŠู† ูƒู„ู…ุฉ forecast
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ูˆ predict ุงู†ู‡ predict ู‡ูŠ ุนุจุงุฑุฉ ุนู† ุชู†ุจุค ูˆ forecast
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ุจุฑุถู‡ ุชู†ุจุค ูˆู„ูƒู† forecast ู‡ูŠ ุงู„ูƒู„ู…ุฉ ุงู„ู„ูŠ ุจู†ุณุชุฎุฏู…ู‡ุง
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ููŠ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ู„ุฅู†ู‡ ุจูŠูƒูˆู† ุชู†ุจุค ู„ู„ุฒู…ู† ู‚ุฑูŠุจูŠุนู†ูŠ
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ู†ูŠุฌูŠ ู†ุญูƒูŠ ุงู„ุขู† ุฅุญู†ุง ููŠ ุงู„ุนุงู… 2017ุŒ ุจุฏู†ุง ู†ุชู†ุจุฃ
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ู„ู„ุนุงู… 2018 ุฃูˆ 2019ุŒ ูุงู„ูƒู„ู…ุฉ ุงู„ู…ุณุชุฎุฏู…ุฉ ู‡ูŠ forecastุŒ
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ุงู„ุฒู…ู† ุงู„ุจุนูŠุฏ ู„ู…ุง ู†ุชู†ุจุฃ ู„ุฅูŠุด ุจุนูŠุฏ ุฎุงู„ุตุŒ ู†ุณุชุฎุฏู…
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ุงู„ูƒู„ู…ุฉ predictุŒ predict ุจู†ุณุชุฎุฏู…ู‡ุง ู…ุน ุงู„ุฅู†ุญุฏุงุฑ
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regressionุŒ ุฅุฐุง ุฅุญู†ุง ุงู„ูƒู„ู…ุฉ ุงู„ู„ูŠ ู‡ู†ุณุชุฎุฏู…ู‡ุง ู„ูƒู„ู…ุฉ
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prediction ู‡ูŠ ูƒู„ู…ุฉ forecast ูˆู„ูŠุณ prediction ููŠ
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ุงู„ุณู„ุณู„ ุงู„ุฒู…ู†ูŠุฉุŒ ูƒูˆู†ู†ุง ุจู†ุญูƒูŠ ุนู† ุชู†ุจุคุงุช ู‚ุฑูŠุจุฉ ุงู„ุฃุฌู„
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ูŠุนู†ูŠู…ุณุชู‚ุจู„ูŠุฉ ูˆู„ูƒู† ู‚ุฑูŠุจุงุŒ ู‡ุฐู‡ ุงู„ุชู†ุจุคุงุช ุงู„ู‡ุฏู ู…ู†ู‡ุง
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ุฃู†ู‡ุง ุชุนู…ู„ helping ู„ู„ managers ูˆ ุงู„ policy makers
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to make well informed and sound decisions ุนุดุงู†
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ุชุณุงุนุฏ ุงู„ managers ุงู„ู…ุฏูŠุฑูŠู† ูˆ ุตุงู†ุนูŠ ุงู„ุณูŠุงุณุงุช ุฃู†ู‡ู…
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ูŠุชุฎุฐูˆุง ู‚ุฑุงุฑุงุช ุณู„ูŠู…ุฉ ุจู†ุงุก ุนู„ู‰ ุชุญู„ูŠู„ ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ
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ุงุญู†ุง ุนู…ู„ู†ุงู‡ุงูŠุจู‚ู‰ ุดูˆ ู†ุฑุฌุน ู†ู‚ูˆู„ ุจุฃู† ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ
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ุฃูˆ ุงู„ time series ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู‚ูŠู… ุชุฌู…ุน ุนุจุฑ ุงู„ุฒู…ู†
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ุฒูŠ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ูŠุง ุฌู…ุงุนุฉุŒ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุชุฌู…ุน ุนุจุฑ
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ุงู„ุฒู…ู†ุŒ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ููŠ ูุตู„ ุงู„ุฑุจูŠุนุŒ ุฏุฑุฌุงุช
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ุงู„ุญุฑุงุฑุฉ ููŠ ูุตู„ ุงู„ุฎุฑูŠูุŒ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ููŠ ูุตู„ ุงู„ุดุชุงุก
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ูˆ ู‡ูƒุฐุง ุฃูˆ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุงู„ูŠูˆู…ูŠุฉุงู„ุฒู…ู† ู‡ู†ุง ูƒุงู† ู‚ุจู„
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ุดูˆูŠุฉ ุนุจุงุฑุฉ ุนู† ู…ูˆุงุณู…ุŒ ูุตูˆู„ุŒ quartersุŒ ู…ุงุดูŠ ุจูˆุŒ ู‡ู„ุฃ
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ุตุงุฑ ู‚ุจู„ ุดูˆูŠุฉ ุฌู…ุงู† ุฃู†ุง ู‚ูˆู„ุช ุฅูŠุด ูƒู„ ูŠูˆู… ุฃูˆ ุฃุณุนุงุฑ
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ุงู„ุนู…ู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ุฏูˆู„ุงุฑ ุนู„ู‰ ุงู„ูŠูˆุฑูˆุŒ ุฃุณุนุงุฑ
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ุงู„ุนู…ู„ุฉ ุงู„ู„ูŠ ู‡ูˆ ูƒู„ ู…ุซู„ุง ุฏู‚ูŠู‚ุฉ ุฃูˆ ูƒู„ ูŠูˆู… ุฃูˆ ูƒู„ ุฃุณุจูˆุน
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ู‡ุฐู‡ ุจุฑุถู‡ ุจูŠุงู†ุงุช ุชุฌู…ุน ุนุจุฑ ุงู„ุฒู…ู† ุทุจุนุง ุณุนุฑ ุงู„ุนู…ู„ุฉ
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ุจู†ุฑู…ุฒ ู„ู‡ ุจุงู„ุฑู…ุฒ XT ุงู„ู…ุดุงู‡ุฏุงุช ุชุจุนุชู‡ ุจู†ู‚ูˆู„ ุนู†ู‡ุง XT
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ุฃูˆ ู…ุซู„ุง ุงู„ู…ุจูŠุนุงุช ู„ุดุฑูƒุฉ ู…ุง ุนุจุฑ ุงู„ูุตูˆู„ ู…ู† ูƒู„ ุณู†ุฉุฃูˆ
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ุนุจุฑ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฃูŠุงู… ุฃูˆ ุนุจุฑ ุงู„ุฃุณุงุจูŠุนุŒ ุงู„ู…ุจูŠุนุงุช ุฃูˆ
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ุนุฏุฏ ุงู„ุฒู…ู†ุŒ ู„ูˆ ูˆุงุญุฏ ู…ู…ูƒู† ูŠู‚ูˆู„ ู„ูŠ ุทูŠุจ ู…ุง ู‡ูˆ ุงู„ุณู„ุณู„
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ุงู„ุฒู…ู†ูŠุฉ ุฏุงุฎู„ุฉ ููŠ ูƒู„ ุดูŠุกุŸ ูŠุนู†ูŠ ุจุงุฎุชุตุงุฑ ูƒู„ ุดูŠุก ู…ู…ูƒู†
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ุฃู†ู‡ ูŠู†ู‚ุต ุนุจุฑ ุงู„ุฒู…ู†ุŒ ุงู„ุฒู…ู† ู…ุงุดูŠุŒ ู†ู‚ูˆู„ู‡ ู…ุตุจูˆุญุŒ ูˆู„ูƒู†
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ุชุญุฏูŠุฏุง ุงู„ุขู† ู„ู…ุง ู†ูƒูˆู† ุงู„ูƒู„ุงู… ุนู„ู‰ ุฃู†ู‡ ู†ู‚ูˆู„ ุณู„ุณู„ุฉ
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ุฒู…ู†ูŠุฉุŒ ูŠุนู†ูŠ ุงู„ุฒู…ู† ู‡ู†ุง ูŠูƒูˆู† ููŠู‡ุง ุจุดูŠุก ูˆุงุถุญุŒ ูู…ุซู„ุง
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ุฃูˆุถุญ ุฃูƒุชุฑู…ุซู„ุง ู„ูˆ ุงุฌูŠู†ุง ู†ู‚ูˆู„ ุดูˆ ุนู„ุงู…ุชูƒ ุงู†ุช ููŠ ุงู„ ..
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ููŠ ุงู„ .. ููŠ .. ุดูˆ ู…ุนุฏู„ูƒุŒ ุงู‡ุŸ ู„ูˆ ู‚ูˆู„ู†ุง ุดูˆ ู…ุนุฏู„ูƒ ู‡ุฐู‡
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ุงู„ุญุงู„ุฉุŒ ู‡ุจุทู„ ุงู„ุณู„ุณู„ ุงู„ุฒู…ู†ูŠุฉุŒ ู„ูƒู† ู„ู…ุง ู†ู‚ูˆู„ ุดูˆ ู…ุนุฏู„ูƒ
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ุนุจุฑ ุงู„ูุตูˆู„ุŒ ููŠ ุงู„ูุตู„ ุงู„ุฃูˆู„ ู…ู† ุงู„ุนุงู… ุงู„ุฏุฑุงุณูŠ ุงู„ุฃูˆู„ุŒ
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00:04:18,480 --> 00:04:21,840
ููŠ ุงู„ูุตู„ ุงู„ุชุงู†ูŠ ู…ู† ุงู„ุนุงู… ุงู„ุฏุฑุงุณูŠ ุงู„ุฃูˆู„ุŒ ููŠ ุงู„ูุตู„
58
00:04:21,840 --> 00:04:26,280
.. ุงู‡ุŸ ุงู„ุฃูˆู„ ู…ู† ุนุงู… ุงู„ุฏุฑุงุณูŠ .. ุงูˆ ููŠ ุงู„ูุตู„ ุงู„ุตูŠููŠุŒ
59
00:04:26,280 --> 00:04:31,270
ู‡ู„ุง ุตุงุฑ ุนู†ุฏูƒ ู‡ู†ุง ููŠ ุฒู…ู†ุŒ ูุตูˆู„ุŒ ุงู‡ุŸ ุณู†ูˆุงุชู‡ู†ุง ุฃุตุจุญุช
60
00:04:31,270 --> 00:04:34,650
ุงู„ุขู† ุงู„ู…ุนุฏู„ ุงู„ู„ูŠ ูƒุงู† ู‚ุจู„ ุดูˆูŠุฉ ู…ุด ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉ ุฃุตุจุญ
61
00:04:34,650 --> 00:04:39,090
ุงู„ุขู† ู„ู‡ ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉุŒ ุทุจุนุง ู…ุนุฏู„ ุงู„ุทู„ุงุจ ุจุดูƒู„ ุนุงู…
62
00:04:39,090 --> 00:04:43,730
ู†ุญูƒูŠุŒ ูˆู„ุฐู„ูƒ ุฅุฐุง ุฃู†ุช ุฏุฎู„ุช ุนุงู…ู„ ุงู„ุฒู…ู† ูƒู‚ูŠุงุณ ู‡ู†ุง
63
00:04:43,730 --> 00:04:49,680
ู„ู„ู…ุดุงู‡ุฏุงุช ุนุจุฑู‡ุงู‡ ูุจุชุตูŠุฑ ุงู„ุงู† ุนุจุงุฑุฉ ุนู† ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉ
64
00:04:49,680 --> 00:04:54,800
ุงูˆ time series ู…ุงุดูŠ ุทูŠุจ ุงู„ time series ุงู‡ู… ุงุดูŠ
65
00:04:54,800 --> 00:04:59,040
ููŠู‡ุง ุงู†ู‡ ุงู‡ู… important feature ุชุจุน ุชุฎุตูŠุฉ ุงู„ู…ู‡ู…ุฉ
66
00:04:59,040 --> 00:05:03,620
ููŠู‡ุง ุจุงู†ู‡ ู„ู…ุง ู†ูƒูˆู† ุงู„ุจูŠุงู†ุงุช ุนู†ุฏู‰ ู…ุฌู…ุนุฉ ุนุจุฑ ุงู„ุฒู…ู†
67
00:05:03,620 --> 00:05:11,140
ูุงู„ุงุตู„ ุงู†ู‡ ุชูƒูˆู† ุงู„ clause in time ู…ุงู„ู‡ูˆmore
68
00:05:11,140 --> 00:05:15,840
dependent than ุงู„ู„ูŠ ู‡ูˆ ุงู„ far away from each
69
00:05:15,840 --> 00:05:20,700
others in time ุดูˆ ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ุจุงุฎุชุตุงุฑ ูƒู„ ู…ุง ูƒุงู†ุช
70
00:05:20,700 --> 00:05:25,480
ุงู„ุจูŠุงู†ุงุช ู‚ุฑูŠุจุฉ ู„ุจุนุถู‡ุง ุงู„ุจุนุถ ุนุจุฑ ุงู„ุฒู…ู† ูƒู„ ู…ุง ูƒุงู†ุช
71
00:05:25,480 --> 00:05:30,880
ู…ุชูˆุงุจุทุฉ ู…ุน ุจุนุถู‡ุง ุฃูƒุซุฑ ู…ู…ุง ุชูƒูˆู† ุนู† ุฅูŠุด ุจุนูŠุฏุฉ ุนุจุฑ
72
00:05:30,880 --> 00:05:35,600
ุงู„ุฒู…ู† ูŠุนู†ูŠ main ุณุคุงู„ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ู„ูˆ ู†ูŠุฌูŠ ู†ุญูƒูŠ
73
00:05:35,600 --> 00:05:42,330
ู…ุจุงุฑุญูˆุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุฌุงุจ ุงู„ุฃุณุจูˆุน ู…ุฑุชุจุทุงุช ู…ุน ุจุนุถ ุตุญุŸ
74
00:05:42,330 --> 00:05:45,850
ุทูŠุจ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ู…ุจุงุฑุญ ูˆ ุฌุงุจ ุงู„ุดู‡ุฑ ุจุฑุถู‡ ู…ุฑุชุจุทุงุช
75
00:05:45,850 --> 00:05:51,710
ู…ุน ุจุนุถ ุตุญุŸ ูˆู„ูƒู† ุณุคุงู„ูŠ ู…ูŠู† ุฃูƒุชุฑ ุงุฑุชุจุงุทุŸ ุงู„ู„ูŠ ู…ุจุงุฑุญ
76
00:05:51,710 --> 00:05:56,330
ุฌุงุจ ุงู„ุฃุณุจูˆุน ุฃูƒุชุฑ ู…ู† ู…ูŠู†ุŸ ุงู„ู„ูŠ ู…ุจุงุฑุญ ุฌุงุจ ุงู„ุดู‡ุฑ ููƒู„
77
00:05:56,330 --> 00:05:59,530
ู…ุง ูƒุงู†ุช ุงู„ุจูŠุงู†ุงุช ุฌุฑูŠุจุฉ ู„ุจุนุถ ุนุจุฑ ุงู„ุฒู…ู† ูƒู„ ู…ุง ูƒุงู†ุช
78
00:05:59,530 --> 00:06:06,210
ุงู„ุงุฑุชุจุงุทุงุช ู…ุง ู„ู‡ุงุฃู‚ูˆู‰ุŒ ู…ุตุจูˆุญุŒ ูˆู„ุฐู„ูƒ ุงู„ู„ูŠ ู‡ูˆ ุงู„
79
00:06:06,210 --> 00:06:08,810
important featureุŒ ุงู„ุฎุงุตูŠุฉ ุงู„ู…ู‡ู…ุฉ ููŠ ุงู„ time
80
00:06:08,810 --> 00:06:11,950
series ุฃู† ุงู„ observation close together in time
81
00:06:11,950 --> 00:06:15,290
tend to be correlated ุฃูˆ ุจู†ู‚ูˆู„ ุนู†ู‡ุง ุณูŠุฑูŠุงู„ูŠ ู…ุง ู„ู‡ู…
82
00:06:15,290 --> 00:06:20,190
dependentุŒ ุงุฑุชุจุงุทุงุชู‡ู… ุจุชูƒูˆู† ุฃูƒุชุฑู…ูˆุฌูˆุฏุฉ ุงุฑุชุจุงุทุงุช
83
00:06:20,190 --> 00:06:24,330
ุงู‚ูˆู‰ ู…ู† ู„ู…ุง ุชูƒูˆู† ุจุนูŠุฏุฉ ุนู† ุจุนุถู‡ุง ุงู„ุจุนุถุŒู…ุงุดูŠ ู‡ุงู‡ุŸ ู‡ู„
84
00:06:24,330 --> 00:06:28,410
ู‡ุงู„ุดุงุฆุน ุดุจุงุจ ุจุฅู†ู‡ ุงู„ time series ูŠูƒูˆู† discrete ุฃูˆ
85
00:06:28,410 --> 00:06:31,850
ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ุชุฃุฎุฑ ุนุจุฑ ุฒู…ู† ู…ุงู„ู‡ุŒ ู‡ุฐุง ุงู„ุฒู…ู†
86
00:06:31,850 --> 00:06:36,550
discreteุŒ ู…ู†ูุตู„ุŒ ุชู…ุงู… ู‡ู‰ุŸ ู„ูƒู† ุจุตูŠุฑ ุฅู†ู‡ุง ุชูƒูˆู† ุงู„ุฒู…ู†
87
00:06:36,550 --> 00:06:42,030
ู…ุงู„ู‡ ู…ุชุตู„ุŒ ูˆู„ูƒู† ุดุงุฆุนุง ูŠูƒูˆู† ุฒู…ู† discreteุŒ ู…ู†ูุตู„ูููŠ
88
00:06:42,030 --> 00:06:46,110
ุงู„ุญุงู„ุฉ ู‡ุฐู‡ ุงู„ time being ู‡ูŠุงุฎุฏ ุนุฏุงุฏ ู‡ูˆ ูˆุงุญุฏ ูŠุนู†ูŠ
89
00:06:46,110 --> 00:06:50,970
ุฅูŠุด ูˆุงุญุฏุŸ ูŠุนู†ูŠ ุงู„ุฒู…ู† ุงู„ุฃูˆู„ ู…ุซู„ุงุŒ ุชู†ูŠู†ุŒ ุฒู…ู† ุงู„ุซุงู†ูŠ
90
00:06:50,970 --> 00:06:56,100
ูˆ ู‡ูƒุฐุง ุชู…ุงู…ุŸูุจู†ุนุทูŠู‡ ุงู„ู„ูŠ ู‡ูˆ ุงู„ู‚ูŠู… discrete ุงูˆ ู…ู…ูƒู†
91
00:06:56,100 --> 00:06:59,620
ูŠูƒูˆู† continuous ูˆู„ูƒู† ุงุชูู‚ู†ุง ุจุงู†ู‡ ุดุงุฆุนุง ุงู† ู†ุณุชุฎุฏู…
92
00:06:59,620 --> 00:07:04,440
ุงู„ู„ูŠ ู‡ูˆ discrete time series ู…ุงุดูŠ ุงู„ุญุงู„ ุทูŠุจ ุงุฐุง
93
00:07:04,440 --> 00:07:07,940
ุนุฑูู†ุง ุงูŠุด ุงู„ุขู† ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ุนุฑูุช ุงู† ู‡ูŠ ู…ุฌุฑุฏ
94
00:07:07,940 --> 00:07:11,140
ุจูŠุงู†ุงุช ุนุงุฏูŠ ุฒูŠู‡ุง ุฒูŠ ุงูŠ ุจูŠุงู†ุงุช ูˆู„ูƒู† ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช
95
00:07:11,140 --> 00:07:16,300
ู…ูŠุฒูŠุชู‡ุง ุจุงู†ู‡ุง ุชุฃุฎุฐ ุนุจุฑ ุงู„ุฒู…ู† ูˆุงู„ุฒู…ู† ู‡ู†ุง ู‚ุฏ ูŠูƒูˆู†
96
00:07:16,300 --> 00:07:21,210
ูŠูˆู… ุงูˆ ุฃุณุจูˆุน ุงูˆ ุงู„ุงุฎุฑู‡ ู…ุงุดูŠ ุงู„ุญุงู„ูˆุชู…ุชุงุฒ ุจุฅู†ู‡ุง ูƒู„
97
00:07:21,210 --> 00:07:24,910
ู…ุง ูƒุงู†ุช ู‚ุฑูŠุจุฉ ู„ุจุนุถ ุนุจุฑ ุงู„ุฒู…ู† ูƒู„ ู…ุง ูƒุงู†ุช ู…ุงู„ู‡ุงุŒ
98
00:07:24,910 --> 00:07:29,870
ุงุฑุชุจุงุทุงุชู‡ุง ุฃู‚ุฑุจ ู„ุจุนุถู‡ุง ุงู„ุจุนุถุŒ ู…ุงุดูŠ ุงู„ุญุงู„ุŸ ุทูŠุจุŒ ู‡ู„ุฃ
99
00:07:29,870 --> 00:07:35,590
ุงู„ุขู† ุจุตุฑุงุญุฉ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ููŠ ุนู†ุฏู†ุง ุทุจูŠุนุฉ ุชุจุนุชู‡ุง
100
00:07:35,990 --> 00:07:40,530
ุจุชู†ุฏู…ุฌ ุฃูˆ ุจุชู†ุฏุฑุฌ ุนููˆุงุŒ ุจุชู†ุฏุฑุฌ ุถู…ู† ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ุฃู†ุง
101
00:07:40,530 --> 00:07:44,790
ุงู„ุขู† ู‡ุฐูƒุฑู‡ุง ุจุดูƒู„ ุนุงู…ุŒ ุทุจุนุง ู‡ู†ุงูƒ ุจุนุถ ุงู„ุญุงู„ุงุช ุงู„ุฃุฎุฑู‰
102
00:07:44,790 --> 00:07:48,190
ุงู„ู„ูŠ ู…ู…ูƒู† ู†ุดูˆูู‡ุงุŒ ูˆู„ูƒู† ุงู„ nature ุชุจุน ุงู„ time
103
00:07:48,190 --> 00:07:52,270
seriesุŒ ุทุจูŠุนุฉ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉุŒ ุบุงู„ุจุง ููŠ ุงู„ุญูŠุงุฉ
104
00:07:52,270 --> 00:07:55,730
ุงู„ุนู…ู„ูŠุฉ ุจุชูƒูˆู† ุถู…ู† ู‡ุฐู‡ ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ุฃู†ุง ุงู„ุขู† ู‡ูˆุฑูŠูƒู…
105
00:07:55,730 --> 00:08:00,320
ุฅูŠุงู‡ุงุŒ ุชู…ุงู…ุŸูˆุงู„ู„ูŠ ุงุญู†ุง ู‡ุฏูู†ุง ุงู„ุฃุณุงุณูŠ ุชู†ุณูˆุด ุญุณุจ ู…ุง
106
00:08:00,320 --> 00:08:04,700
ุงุชูู‚ู†ุง ููŠ ุงู„ุจุฏุงูŠุฉ ุงู„ู…ุญุงุถุฑุฉ ุจุฅู†ู‡ ุดูˆ ุจุฏู†ุง ู†ุณูˆูŠ ู†ุนู…ู„
107
00:08:04,700 --> 00:08:10,000
modeling ู†ุนู…ู„ ู†ู…ูˆุฐุฌ ู„ู‡ุฐู‡ ุงู„ุณู„ุณู„ุฉ ุจู‡ุฏู ุฅู†ู‡ ู†ุชู†ุจุฃ
108
00:08:10,000 --> 00:08:17,180
ู…ุตุจูˆุน ู†ุชู†ุจุฃ ุงู„ู…ุณุชู‚ุจู„ ู„ู…ุณุงุนุฏุฉ ุงู„ู…ุฏูŠุฑูŠู† ูˆุงู„ุณูŠุงุณูŠูŠู†
109
00:08:17,180 --> 00:08:21,420
ุงูˆ ุงู„ุงุฎุฑูŠู† ุงูˆ ุชุณุงุนุฏ ู†ูุณูƒ ุงู†ุช ุชุชู†ุจุฃ ุงู†ูƒ ุงู„ู…ุณุชู‚ุจู„
110
00:08:21,420 --> 00:08:24,840
ุนุดุงู† ุชุดูˆู ุงู†ุช ู„ูˆ ุงูŠู† ุฑุงูŠุญ ูู…ุซู„ุง ู„ูˆ ุจุฏูƒ ุชุญูƒูŠ ุนู†
111
00:08:24,840 --> 00:08:29,200
ุงู„ู…ูŠุงู‡ ุงู„ุฌูˆููŠุฉู…ุงุดูŠ ุงู„ุญู‚ูŠู‚ุฉุŸ ุงู„ู…ู„ูˆุญุฉ ููŠ ุงู„ู…ูŠุงู‡
112
00:08:29,200 --> 00:08:33,220
ุงู„ุฌุงููŠุฉุŒ ูุงู„ุทุจูŠุนูŠ ุฌุฏุง ุฌุฏุง ู‡ุฐูŠ ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉุŒ
113
00:08:33,220 --> 00:08:37,280
ุงู„ู…ู„ูˆุญุฉ ุนุจุฑ ุงู„ุฒู…ู† ุณู„ุณู„ุฉ ุฒู…ุงู†ูŠุฉุŒ ู‡ู„ุฃ ุฃู†ุช ู„ูˆ ุชู†ุจุฃุช
114
00:08:37,280 --> 00:08:41,750
ุดูˆ ุจูŠูƒูˆู† ุนู†ุฏ ุงู„ู…ู„ูˆุญุฉ ูƒู…ุงู† ุณู†ุชูŠู†ุŒ ุชู„ุงุชุฉุŒ ู…ุตุจูˆุทุŸู„ู…ุง
115
00:08:41,750 --> 00:08:46,150
ุชู†ุจุนูƒ ู‡ุฐุง ุจูŠุฎู„ูŠุด ุตุงุญุจ ุงู„ู‚ุฑุงุฑ ุงู„ู„ูŠ ุจูŠุดุชุบู„ ููŠ ุงู„ู…ูŠุงู‡
116
00:08:46,150 --> 00:08:50,350
ุงูˆ ุบูŠุฑู‡ ูŠุนู†ูŠ ุจู†ุงุก ุนู„ู‰ ุนู„ู… ุงู„ู„ูŠ ุงู†ุช ุนู…ู„ุชู‡ ูŠุชุงุฎุฏ
117
00:08:50,350 --> 00:08:53,730
ุงู„ู‚ุฑุงุฑ ุงู„ุณู„ูŠู… ูŠุนู…ู„ ุจูŠุฑู‡ุงู† ูŠูุชุญ ุจูŠุฑู‡ุงู† ุงูˆ ุงู„ุงุฎุฑ
118
00:08:53,730 --> 00:08:58,290
ู…ุงุดูŠ ู‡ุงู†ุŸ ุทูŠุจ ุงู„ุงู† ุงุญู†ุง ุนู†ุฏู†ุง ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ููŠู‡
119
00:08:58,290 --> 00:09:02,370
ุดูˆูŠุฉ ุงู…ุซู„ุฉ ู‡ุฐู‡ ุงู…ุซู„ุฉ ุนุจุงุฑุฉ ุนู† ุงู…ุซู„ุฉ ูˆุงู‚ุนูŠุฉ ุนู…ู„ูŠุฉ
120
00:09:02,370 --> 00:09:07,250
ุจู†ุดูˆู ูƒูŠู ุงุญู†ุง ู…ู…ูƒู† ุงู† ู‡ูˆ .. ุงู†ู‡ ููŠู…ุง ุจุนุฏ ุงู„ ..
121
00:09:07,620 --> 00:09:11,000
ุทุจูŠุนุฉ ุงู„ุณู„ุณู„ุฉ ุงู„ู„ูŠ ุชูˆุงุฌู‡ูŠู†ู‡ุง ููŠ ุงู„ุญูŠุงุฉ ูุฃูˆู„ ู…ุซุงู„
122
00:09:11,000 --> 00:09:16,220
ู‡ูˆ ุจูŠุญูƒูŠ ุนู†ุงู„ quarterly earning per share for the
123
00:09:16,220 --> 00:09:20,780
year 1960 ู…ู† ุงู„ quarter ุงู„ุฃูˆู„ุงู†ู‰ ุงู„ูุตู„ ุงู„ุฃูˆู„ุงู†ู‰
124
00:09:20,780 --> 00:09:25,740
ู„ู„ูƒูˆุงุฑุชุฑ ุงู„ุฑุงุจุน ุนุงู… 1980 ู„ู„ุดุฑูƒุฉ ุงู„ุฃู…ุฑูŠูƒูŠุฉ ุงุณู…ู‡ุง
125
00:09:25,740 --> 00:09:29,000
johnson and johnson ุนู„ู‰ ุงู„ุดุจุงุจ ุจูŠุนู†ู‰ per share
126
00:09:29,000 --> 00:09:33,540
ูŠุนู†ูŠ ุจุงู„ุณู‡ู… ุฃุณู‡ู… ูˆ learning ุงู„ู„ู‰ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู…ุฑุจุงุญ
127
00:09:33,540 --> 00:09:37,340
ูŠุนู†ู‰ ูู‡ู†ุง ุฎู„ูŠู†ูŠ ู†ู‚ูˆู„ ุนู„ู‰ ุงู„ุฃุฑุจุงุญ ุงู„ู…ูˆุณู…ูŠุฉ ุฃู‡
128
00:09:37,340 --> 00:09:44,710
ุงู„ุฃุฑุจุงุญ ุงู„ู…ูˆุณู…ูŠุฉ ู„ู…ูŠู†ู„ู„ุณู‡ู… ู…ุงุดูŠ ุฃูˆ ู†ุตูŠุจ ุงู„ุณู‡ู… ุฌุฏูŠุด
129
00:09:44,710 --> 00:09:49,430
ุฑุจุญ ู…ู† ุงู„ุนุงู… ุงู„ู ุชุณุนู…ุงุฆุฉ ูˆ ุณุชูŠู† ุงู„ูุตู„ ุงู„ุฃูˆู„ุงู†ูŠ
130
00:09:49,430 --> 00:09:53,610
ู„ู„ุนุงู… ุงู„ู ุชุณุนู…ุงุฆุฉ ูˆ ุชู…ุงู†ูŠู† ุงู„ูุตู„ ุงู„ุฑุงุจุน ููˆุงุถุญ ุฃู†ู‡
131
00:09:53,610 --> 00:09:58,600
ู…ู‚ุณู… ุงู„ุณู†ุฉ ู‡ู†ุง ุฅู„ู‰ ูุตูˆู„ ุฃุฑุจุนุฉู…ุงุดูŠุŸ ูˆู‡ุฐู‡ ุนุจุงุฑุฉ ุนู†
132
00:09:58,600 --> 00:10:02,520
ุงู„ุฃุฑุจุงุญ ุงู„ู„ูŠ ู‡ูŠ ุงู„ู…ูˆุณู…ูŠุฉ ู„ู„ุณู‡ู… ู„ู‡ุฐู‡ ุงู„ุดุฑูƒุฉ ุงู„ู„ูŠ
133
00:10:02,520 --> 00:10:05,140
ุงุณู…ู‡ุง johnson and johnson ุดุฑูƒุฉ ุฃู…ุฑูŠูƒูŠุฉ ู…ุด ู‡ูŠูƒุฏู‡
134
00:10:05,140 --> 00:10:09,920
ู…ุนู†ูŠูŠู† ุงุญู†ุง ุจู‚ุฏ ู…ุง ุงุญู†ุง ู…ุนู†ูŠูŠู† ุจู…ูŠู† ุจุงู„ุทุจูŠุนุฉ ุชุจุน
135
00:10:09,920 --> 00:10:13,440
ุงู„ุณู„ุณู„ุฉ ูู„ูˆ ุฃุทู„ุนู†ุง ุนู„ู‰ ุทุจูŠุนุฉ ุงู„ุณู„ุณู„ุฉ ุงู„ู„ูŠ ุฃู…ุงู…ูŠ
136
00:10:13,440 --> 00:10:17,920
ุณู†ุฌุฏ ุจุฅู†ู‡ ูˆุงุถุญ ุฅู†ู‡ ููŠ ุฒูŠุงุฏุฉ ุงู‡ ุงู„ู„ูŠ ู‡ูŠ ุงุณู…ู‡ุง
137
00:10:17,920 --> 00:10:21,420
upward trend increasing trend trend ูŠุนู†ูŠ ุงุชุฌุงู‡
138
00:10:21,420 --> 00:10:26,640
ุดุจุงุจ trend ูŠุนู†ูŠ ุงุชุฌุงู‡ููˆุงุถุญ ุงู†ู‡ ููŠ ุฒูŠุงุฏุฉ ููŠ ุงู„
139
00:10:26,640 --> 00:10:31,560
trend ููŠ ุงู„ุงุชุฌุงู‡ ู…ุงุดูŠ ุนุจุฑ ุงู„ุฒู…ู† ุตุญุŸ ุจุดูƒู„ ุนุงุฏู‰ุŒ
140
00:10:31,560 --> 00:10:35,320
ุทุจุนุง ุงู† ุงู†ุช ุดุงูŠู ู‡ู†ุง ููŠ ุนู†ุฏูƒ ููŠ ุดูˆูŠุฉ ุชู†ุงู‚ุตุงุชุŒ ุจุณ
141
00:10:35,320 --> 00:10:39,960
ุงู„ุงุชุฌุงู‡ ุงู„ุนุงู… ู…ุงู„ู‡ู…ุŒ ุชุฒุงูŠุฏุŒ ุงู„ุง ุทุจุนุง ุงู†ุช ุณู„ุณู„ุฉ
142
00:10:39,960 --> 00:10:44,720
ุจุงู„ุดูƒู„ ู‡ุฐุง ุชุณุชุทูŠุน ููŠู…ุง ุจุนุฏ ุงู†ูƒ ุงู†ุช ุจุนุฏ ู…ุง ุชุฑุณู…ู‡ุงุŒ
143
00:10:44,720 --> 00:10:48,860
ุงูˆู„ ุฎุทูˆุฉ ุทุจุนุง ุจุงู„ู…ู†ุงุณุจุฉ ุงูˆู„ ุฎุทูˆุฉ ููŠ ุชุญู„ูŠู„ ุงู„ุณู„ุงุณู„
144
00:10:48,860 --> 00:10:53,870
ุงู„ุฒู…ู†ู‰ ู‡ูŠ ุงู„ุฑุณู…ุฃูˆู„ ุฎุทูˆุฉ ู‡ูŠ ุงู„ุฑุณู… ูุงุญู†ุง ุฑุณู…ู†ุง
145
00:10:53,870 --> 00:10:57,950
ุงู„ุณู„ุณู„ุฉ ุนุจุฑ ุงู„ุฒู…ู† ูˆ ูˆุฌุฏู†ุง ุฃู† ุงู„ุงุชุฌุงู‡ ุงู„ุนุงู… ุชุฒุงูŠุฏ
146
00:10:57,950 --> 00:11:02,370
ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ู‡ูŠูƒ ุชู…ุงู…ุทุจุนุง ุฅู†ุช ุจุนุฏ ู‡ูŠูƒ ู…ู…ูƒู†
147
00:11:02,370 --> 00:11:07,370
ู†ุนู…ู„ ุฅูŠุด ุชุญู„ูŠู„ ู…ู† ุฎู„ุงู„ ู†ุดูˆู ุงู„ู†ู…ูˆุฐุฌ ูŠุตู ู‡ุฐู‡
148
00:11:07,370 --> 00:11:11,550
ุงู„ุจูŠุงู†ุงุช ุงู„ู„ูŠ ุฃู…ุงู…ูŠ ุญุชู‰ ู†ุชู†ุจุฃ ุดูˆ ุจุฏู‡ ูŠุตูŠุฑ ููŠ ุงู„ุนุงู…
149
00:11:11,550 --> 00:11:15,970
ุงู„ู ูˆุชุณุนู…ูŠุฉ ู…ุซู„ุง ูˆ ุฎู…ุณุฉ ูˆ ุชู…ุงู†ูŠู† ุฃูˆ ุงู„ู ุชุณุนู…ูŠุฉ ูˆ
150
00:11:15,970 --> 00:11:18,670
ุชู„ุงุชุฉ ูˆ ุชู…ุงู†ูŠู† ุนู„ู‰ ุงูุชุฑุงุถ ุฃู†ู‡ ุงุญู†ุง ู…ุง ุฒู„ู†ุง ููŠ
151
00:11:18,670 --> 00:11:22,870
ุงู„ุนุงู… ุงู„ู ุชุณุนู…ูŠุฉ ูˆ ุชู„ุงุชุฉ ูˆ ุชู…ุงู†ูŠู† ุฃูˆ ุฃูุฑ ูˆ ุชู…ุงู†ูŠู†
152
00:11:23,470 --> 00:11:27,270
ูŠุนู†ูŠ ู†ุชู†ุจุฃ ู„ุณู†ุชูŠู† ู„ู‚ุฏุงู…ุŒ ู…ุงุดูŠุŸ ุงู„ู„ูŠ ุตู…ู†ุงู‡ุง ุงู„ูƒู„ู…ุฉ
153
00:11:27,270 --> 00:11:33,090
ุฅูŠุด forecastingุŒ ู…ุงุดูŠุŸ ูˆุชุญุฏูŠุฏุง ู†ุชู†ุจุฃ ุฌุฏุงุด ู…ุซู„ุง
154
00:11:33,090 --> 00:11:37,050
ู‡ูŠูƒูˆู† ุงู„ุฃุฑุจุงุญ ููŠ ุงู„ูุตู„ ุงู„ุฃูˆู„ ุฃูˆ ุงู„ูุตู„ ุงู„ุชุงู†ูŠุŒ
155
00:11:37,050 --> 00:11:42,110
ูˆุงุถุญุฉุŸ ุทูŠุจุŒ ุฅุฐุง ู‡ุฐุง ุนุจุงุฑุฉ ุนู† ู…ุซุงู„ ู…ู…ูƒู† ูŠูˆุงุฌู‡ู†ูŠ ููŠ
156
00:11:42,110 --> 00:11:44,550
ุงู„ุญูŠุงุฉ ุงู„ุนู…ู„ูŠุฉ ุฒูŠ ู…ุง ุฃู†ุชูˆุง ุดุงูŠููŠู† ุงู„ trend ู…ุง
157
00:11:44,550 --> 00:11:49,710
ู‚ุงู„ูˆุง ู…ู…ูƒู† ุชูƒูˆู† ู„ู„ุจู†ู‰ ุณู„ุณู„ุฉ ุชุฒุงูŠุฏุฉุงู„ู„ู‡ ู…ู…ูƒู† ุชูƒูˆู†
158
00:11:49,710 --> 00:11:52,630
ุงู„ุณู„ุณู„ุฉ ุงู„ู„ู‰ ุฃู…ุงู…ู‰ ู…ุฎุชู„ูุฉ ุชู…ุงู…ุง ุนู† ุงู„ู„ู‰ ุงู†ุชูˆุง
159
00:11:52,630 --> 00:11:56,970
ุดูˆูุชูˆู‡ุง ู‚ุจู„ ุดูˆูŠุฉ ู…ุซุงู„ ุงุฎุฑ ุชูƒูˆู† ุนุจุงุฑุฉ ุนู† wavelets
160
00:11:56,970 --> 00:12:01,130
wavelets ูŠุนู†ูŠ ู…ูˆุฌูŠุฉ ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ู‡ุงุฏูŠ ุชุฐุจุฐุจุฉ
161
00:12:01,130 --> 00:12:06,570
ุงู„ู„ู‡ ู‡ุฐุง ู…ุซุงู„ ู…ุฌุฑุฏ ู…ุซุงู„ ุจูŠุญูƒูŠ ุนู† sample ู„ speech
162
00:12:06,570 --> 00:12:11,250
recorded ู„ู„ phrase ุงู„ู„ู‰ ู‡ู‰ ุงู„ู†ู…ุท ุงูˆ ุงู„ู…ู‚ุทุน ุชุจุน
163
00:12:11,250 --> 00:12:16,380
ุงู„ู„ู‰ ู‡ูˆ ุงู„ูƒู„ุงู…ูƒู„ุงู… ูˆุงุญุฏ ุจูŠู‚ูˆู„ ุงูŠู‡ ุงูŠู‡ ุงูŠู‡ ูุจู†ุญุฒู†ู„ู‡
164
00:12:16,380 --> 00:12:20,680
ูŠุง ู…ุงุดูŠ ุจู†ุณุฌู„ู‡ ุนู„ู‰ ุงู„ุตูˆุช ุงุชุด ุงุชุด ุงุชุด ู„ุญุฏ ุฏูŠ ุงุชุด
165
00:12:20,680 --> 00:12:25,990
ุงุชุด ุงุชุด ูˆ ู‡ูƒุฐุงูุงู„ุชุณุฌูŠู„ ุงู„ุตูˆุชูŠ ู„ู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ุนู†ุฏู‰
166
00:12:25,990 --> 00:12:29,610
ูƒุฃู†ู‡ ุจูŠุนุทูŠู†ูŠ ู…ุงู„ู‡ ูŠุง ุดุจุงุจุŒ ุงู„ุดูƒู„ ุงู„ู„ู‰ ุฒู‰ ู…ุง ุงู†ุชูˆุง
167
00:12:29,610 --> 00:12:33,770
ุดุงูŠููŠู†ู‡ุŒ ู‡ุฐุง ุทุจุนุง ู…ู…ูƒู† ูŠูˆุงุฌู‡ูƒ ููŠ ุจุนุถ ุงู„ุจู†ุงุก ุงู„ุฃู…ู„ุŒ
168
00:12:33,770 --> 00:12:37,750
ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ุฃุดูƒุงู„ู‡ุง ุจุงู„ุดูƒู„ ุงู„ู„ู‰ ุฃู…ุงู…ู‰ุŒ ู„ูˆ ุฃู†ุง
169
00:12:37,750 --> 00:12:41,710
ูƒุจุฑุช ุดูˆูŠุฉุŒ ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠู‡ ู…ูˆุฌุงุช ุตุบูŠุฑุฉ
170
00:12:41,710 --> 00:12:45,640
ุงู„ุญุฌู…ุŒ ู…ุตุจูˆุทุŸุทูŠุจ ู‡ุฐุง ู…ุฎุชู„ู ุชู…ุงู…ุง ุนู† ู…ุซุงู„ ู‚ุจู„
171
00:12:45,640 --> 00:12:49,260
ุงู„ู‚ู„ูŠู„ ุงู„ู„ูŠ ุดูˆูู†ุงู‡ ุงุญู†ุง ููŠู†ุง ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ
172
00:12:49,260 --> 00:12:52,460
ุงู„ู…ูˆุถูˆุน ุชุจุนู†ุง ููŠ ู‡ุฐู‡ ุงู„ chapter ุฃูˆ ููŠ ู‡ุฐู‡ ุงู„ู…ุงุฏุฉ
173
00:12:52,460 --> 00:12:57,700
ุงู†ู‡ ู†ุดูˆู ูƒูŠู ู†ุชุนุงู…ู„ ู…ุน ุณู„ุณู„ุฉ ุจุงู„ุดูƒู„ ู‡ุฐุง ูƒูŠู ุงู„ู„ูŠ
174
00:12:57,700 --> 00:13:03,460
ุฌูŠู†ุง ู†ู…ูˆุฐุฌ ูŠุตูู‡ุง ุจู‡ุฏู ู…ู† ุงู„ุชู†ุจุคุงุช ุงู„ู…ุณุชู‚ุจู„ูŠุฉ
175
00:13:03,460 --> 00:13:08,420
ูˆุงุถุญุฉุŸ ู‡ุฐุง ุญุงู„ุฉ ุชุงู†ูŠุฉ ู…ู…ูƒู† ุชูˆุงุฌู‡ู†ูŠุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉ
176
00:13:08,420 --> 00:13:12,040
ุงู„ู„ู‰ ู…ู…ูƒู† ุชูˆุงุฌู‡ู†ูŠ ููŠ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ุทุจูŠุนุฉ ุงู„ุณู„ุณู„ุฉ
177
00:13:12,040 --> 00:13:15,600
ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู†ู‡ุง ุชูƒูˆู† ููŠ ุนู†ุฏู‰ a periodic
178
00:13:15,600 --> 00:13:21,060
cycle ุงู„ cycle ู‡ูŠ ุฒู‰ sin cosine ุงู„ period ุงู‡ ู…ุงุดูŠ
179
00:13:21,060 --> 00:13:24,320
ูˆ ู‡ุฐู‡ ุงู„ cycle ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุจุชูƒุฑุฑ ู†ูุณู‡ุง ูƒู„
180
00:13:24,320 --> 00:13:27,880
ุฃูƒู… ู…ู† ุณู†ุฉ ุชู‚ุฑูŠุจุง ูƒู„ ุนุดุฑ ุณู†ูˆุงุช ู‡ุฐุง ุงู„ู…ุซุงู„ ูŠุง ุดุจุงุจ
181
00:13:27,880 --> 00:13:32,720
ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ุจูŠุงู†ุงุช ุงู„ู„ู‰ ู…ุฌู…ุนุฉ ู„ู„ ู„ูŠู†ูƒุณ trapping
182
00:13:32,720 --> 00:13:37,000
ุงู„ู„ูŠู†ูƒุณ ู‡ุฐู‡ ุนุจุงุฑุฉ ุนู† ุญูŠูˆุงู† ุดุจู‡ ุจุงู„ู‚ุทุฉูˆ ุงู„ู†ู…ุฑ
183
00:13:37,000 --> 00:13:40,480
ุชู‚ุฑูŠุจุงุŒ ุจุนูŠุด ููŠ ุดู…ุงู„ ุฃู…ุฑูŠูƒุงุŒ ููŠ ุฃู…ุฑูŠูƒุง ุงู„ุดู…ุงู„ูŠุฉ ููŠ
184
00:13:40,480 --> 00:13:44,280
ูƒู†ุฏุง ุนู†ุฏ ุฑุงู‡ุฑ ุงู„ู„ูŠ ุงุณู…ู‡ Mackenzie River ู‡ูˆ ุชู‚ุฑูŠุจุง
185
00:13:44,280 --> 00:13:47,380
ู‡ุฐุง ุงู„ุฑุงู‡ุฑ ู…ู† ุฃูƒุจุฑ ุงู„ุฃู†ู‡ุงุฑ ููŠ ุงู„ุนุงู„ู… ุจุนุฏ ุงู„ู†ูŠู„
186
00:13:47,380 --> 00:13:52,410
ูˆุงู„ูุฑุงุทุŒ ู…ุงุดูŠุŸูููŠู‡ ููŠ ุงู„ู…ู‚ุงุทุนุงุช ุงู„ุดู…ุงู„ูŠุฉ ุชุงุจุนุฉ
187
00:13:52,410 --> 00:13:55,390
ูƒู†ุฏุง ููŠ ุงู„ุนุงู… ุงู„ู ุชุณุนู…ูŠุฉ .. ุงู„ู ุชู…ุงู†ูŠุฉ ูˆ ูˆุงุญุฏ ูˆ
188
00:13:55,390 --> 00:13:58,390
ุนุดุฑูŠู† ู„ู„ุนุงู… ุงู„ู ุชุณุนู…ูŠุฉ ูˆ ุชู„ุงุชุฉ ูˆ ุฃุฑุจุนูŠู† ุนู…ู„ูˆู„ู‡ู…
189
00:13:58,390 --> 00:14:01,970
Trapping Trappings ุงู„ู„ูŠ ู‡ูˆ ุนุจุงุฑุฉ ุนู† ูุฎูˆุฎ ุงู„ู„ูŠ ู‡ูˆ
190
00:14:01,970 --> 00:14:06,790
ุงู„ูุฎ ุฃูˆ ุงู„ู†ุงุณ ูŠุฏู‰ุŒ ู…ุงุดูŠุŸ ูˆ ุจูŠุตูŠุฏูˆุง ู‡ุฏูˆู„ Trapping
191
00:14:06,790 --> 00:14:10,270
ุงู„ู„ูŠ ู‡ูˆ ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุญูŠูˆุงู† ุดุจูŠู‡ ุจุงู„ู‚ุท
192
00:14:10,270 --> 00:14:15,130
ูˆ ุงู„ู†ู…ุฑ ุฒูŠ ุงู„ูุฏุฏุŸ ุงู‡ ู„ุฃ ู‡ูˆ ุจูŠุดุจู‡ ุงู„ู‚ุท ูŠุนู†ูŠ ุชู‚ุฑูŠุจุง
193
00:14:15,130 --> 00:14:18,170
ู…ุง ุจูŠู† ุงู„ู‚ุท ูˆ ุงู„ู†ู…ุฑ ุงู†ุง ูƒุงู† ุนู†ุฏู‰ ุตูˆุฑุฉ ุญุงุทุทู‡ุง ุจุตูŠู†ุฉ
194
00:14:18,170 --> 00:14:23,360
CG ุจุณ ููŠ ุฌู…ูŠุน ุงู„ุฃุญูˆุงู„ู‡ูˆ ูŠุนู†ูŠ ุจุฑูˆุญ ุจุชุฌู…ุน ุนู†ุฏ ุงู„ู†ู‡ุฑ
195
00:14:23,360 --> 00:14:27,080
ู‡ุฐุง ุงู„ู„ูŠ ุงุณู…ู‡ Mackenzie ู…ุงุดูŠ ูˆ ุนุจุฑ ุงู„ุณู†ูˆุงุช ุจู†ุตุจู‡
196
00:14:27,080 --> 00:14:30,680
ูุฎูˆุฎ ูˆ ุบูŠุฑู‡ ูˆ ู…ุงุจุนุฑูุด ู‡ูˆ ูˆ ุทุจุนุง ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†
197
00:14:30,680 --> 00:14:33,420
ู‡ู†ุง ููŠ ุนู†ุฏูŠ cycle ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุชุทู„ุน ุนู„ู‰ ุงู„
198
00:14:33,420 --> 00:14:36,440
cycle ุจุชูƒุฑุฑ ู†ูุณูƒ ูƒู„ ุนุดุฑุฉ ููŠ ุงู„ุณู†ูˆุงุช ูุงู„ peak ู‡ู†ุง
199
00:14:36,440 --> 00:14:41,680
ุงู„ peak ูŠุนู†ูŠ ุงู„ู‚ู…ุฉ ุงู„ peak ู‡ู†ุง ุดุงูŠููŠู†ู‡ ุชู‚ุฑูŠุจุง ู‡ู†ุง
200
00:14:41,680 --> 00:14:46,200
ุตุงุฑ ููŠ ุงู„ุนุงู… 1930 ุชู‚ุฑูŠุจุง ุดุงูŠููŠู† ุงูƒุจุฑ ุงู„ู…ูˆุฌุฉ ุดูˆูŠุฉ
201
00:14:46,200 --> 00:14:46,860
ุงูƒุจุฑ ุนููˆุง
202
00:14:49,720 --> 00:14:54,200
ูููŠ ุงู„ุนุงู… 1930 ุงู„ peak ู‡ู†ุง ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠู‡
203
00:14:54,200 --> 00:14:59,440
peak ู‡ู†ุง ุตุงุฑ ููŠ ุงู„ุนุงู… ุชู‚ุฑูŠุจุง ุชู‚ุฑูŠุจุง 1940 ุชู‚ุฑูŠุจุง ูƒู„
204
00:14:59,440 --> 00:15:03,940
ุนุดุฑ ุณู†ูˆุงุช ูˆุฅู† ูƒุงู† ุดูˆูŠุฉ ุฃู‚ู„ ุซู… ุจุนุฏ ุฐู„ูƒ ู‡ู‡ ุฒู‰ ู…ุง
205
00:15:03,940 --> 00:15:07,320
ุงู†ุชูˆุง ุดุงูŠููŠู† ููŠ ุงู„ุนุงู… 1950 ู‡ูˆ ุชู‚ุฑูŠุจุง ุฃู‚ู„ ู…ู†
206
00:15:07,320 --> 00:15:11,580
ุงู„ุฎู…ุณูŠู† ุจุดูˆูŠุฉ ุตุญุŸ ููˆุงุถุญ ุฃู† ุงู„ peak ู‡ุฐุง ู‡ู‰ ุงู„ peak
207
00:15:11,580 --> 00:15:18,020
ุงู„ู‚ู…ุฉ ุชุชูƒุฑุฑ ูƒู„ ุชู‚ุฑูŠุจุง ุนุดุฑ ุณู†ูˆุงุช ุงู„ู‚ุงุน ุดุงูŠููŠู†ู‡ุŸ
208
00:15:18,890 --> 00:15:24,510
ุชู‚ุฑูŠุจุง ูุงู†ุง ูˆุงุถุญ ุงู†ู‡ุง ู…ูˆุฌุงุช ุชุชูƒุฑุฑ
209
00:15:24,510 --> 00:15:28,110
ูƒู„ ุงูƒู… ู…ู† ุณู†ุฉ ุชู‚ุฑูŠุจุง ูƒู„ ุนุดุฑ ุณู†ูˆุงุช ุงุญู†ุง ู…ุด ุดุฑุท ูƒู„
210
00:15:28,110 --> 00:15:33,170
ุนุดุฑ ุณู†ูˆุงุช ุจู‚ุฏุฑ ู…ุง ู‡ูŠ ุงู†ู‡ุง ูƒู„ ุงูƒู… ู…ู† ุณู†ุฉ ูู‡ุฐุง ู…ุซุงู„
211
00:15:33,170 --> 00:15:37,730
ุชูˆุถูŠุญ ูŠุจูŠู† ุจุงู† ู‡ู†ุงูƒ ุณู„ุงุณู„ ุฒู…ู†ูŠุฉ ู‚ุฏ ุชูˆุงุฌู‡ู†ูŠ ููŠ
212
00:15:37,730 --> 00:15:42,770
ุงู„ุญูŠุงุฉ ูˆู‡ุฐุง ู…ุซุงู„ ู…ู†ู‡ุง ุจุงู† ููŠ ุนู†ุฏูŠ a periodic cycle
213
00:15:42,770 --> 00:15:47,880
.. cycle ุฏูˆุฑุฉ ูŠุง ุดุจุงุจูุฏูˆุฑูŠุฉ ูˆ ุชู‚ุฑูŠุจุง ูƒู„ ุงูƒุชุฑ ู…ู†
214
00:15:47,880 --> 00:15:51,780
ุณู†ุฉ ูƒู„ู‡ุง ุชู‚ุฑูŠุจุง ุนุดุฑ ุณู†ูˆุงุช ูˆู‡ุฐุง ู…ุซุงู„ ุจูŠูˆุถุญ ู„ูŠู‡ ุงู†
215
00:15:51,780 --> 00:15:55,880
ุงู„ุญุงู„ุงุช ุงู„ู„ูŠ ู…ู…ูƒู† ุงุชูˆุงุฌู‡ูŠู†ู‡ุง ุญุงู„ุฉ ุงูŠุถุง ู…ุฎุชู„ูุฉ ุนู†
216
00:15:55,880 --> 00:15:58,880
ุงู„ุญุงู„ุงุช ุงู„ุชู„ุงุชุฉ ุงู„ู„ูŠ ู‚ุจู„ ู‚ู„ูŠู„ ุฏุฑุณู†ุงู‡ุง ุงุญู†ุง ุชุณูŠู†ุง
217
00:15:58,880 --> 00:16:02,250
ุงู„ู‰ ุงู„ุงู† ุดุงูŠููŠู† ุชู„ุงุช ุญุงู„ุงุชุงู„ุญุงู„ุฉ ุงู„ุฑุงุจุนุฉ ุงู„ู„ูŠ ู…ู…ูƒู†
218
00:16:02,250 --> 00:16:07,430
ู†ุดูˆูู‡ุง ุจุฅู†ู‡ ู‡ุฐุง ุงู„ู…ุซุงู„ ุจูŠุญูƒูŠ ุนู† monthly .. monthly
219
00:16:07,430 --> 00:16:12,210
ุงู„ู„ูŠ ู‡ูˆ ุฅูŠุดุŸ ุดู‡ุฑูŠ .. airline passengers number ..
220
00:16:12,210 --> 00:16:16,850
numbers .. ุฅูŠุด ูŠุนู†ูŠุŸ ู„ุฃ ุนุฏุฏ ุงู„ู…ุณุงูุฑูŠู† ููŠ ุงู„ุทูŠุฑุงู†
221
00:16:16,850 --> 00:16:21,170
.. ุฎุทูˆุท ุงู„ุทูŠุฑุงู† ููŠ ุงู„ุดู‡ุฑ ูŠุนู†ูŠ ูˆุงุถุญ ุฅู†ู‡ ุจูŠุญูƒูŠ ุนู†
222
00:16:21,170 --> 00:16:26,470
ุณู†ุฉ .. ุนููˆุง ุณู†ูˆุงุช ูˆ ุงู„ุณู†ุฉ ู…ุฌุณู…ุฉ ุฅู„ู‰ ู…ูŠู† .. ุดู‡ูˆุฑ
223
00:16:27,930 --> 00:16:32,250
ู…ุธุจูˆุทุŸ ูˆ ู‡ู†ุง ุจุญูƒูŠ ุนู† ุนุฏุฏ ุงู„ู…ุณุงูุฑูŠู† ู…ู† ููŠ ุงู„ุดู‡ูˆุฑ
224
00:16:32,250 --> 00:16:37,330
ุนุจุฑ ุงู„ุณู†ูˆุงุช ูˆุงุถุญู‡ุŸ ุทูŠุจ ู‡ู†ุง ุงู„ seasonality .. ุงู„
225
00:16:37,330 --> 00:16:40,770
seasonality ู…ุนู†ุงู‡ุง ุนุดุงู† ุงู„ู…ูˆุณู…ูŠุฉ ุงู„ูุตู„ูŠุฉ ูŠุนู†ูŠ ูˆุงุถุญ
226
00:16:40,770 --> 00:16:43,630
ุฃู†ู‡ุง ู…ูˆุฌูˆุฏุฉ ุฒูŠ ู…ุง ุฃู†ุชูˆุง ุดุงูŠููŠู† ูˆ ู‡ุฐู‡ ุงู„
227
00:16:43,630 --> 00:16:48,650
seasonality ุจุชุฒุฏุงุฏ ุนุจุฑ ุงู„ุฒู…ุงู† ูˆ ูˆุงุถุญ ุฃู†ู‡ ููŠ trend
228
00:16:48,650 --> 00:16:52,790
ู‡ู†ุง ุงุชุฌุงู‡ ุชุฒุงูŠุฏูŠ ุจุฑุถู‡ ูˆ ุฑุบู… ุฐู„ูƒ ูู…ุซู„ุง ู„ูˆ ุฃู†ุง ูƒุจุงุฑ
229
00:16:52,790 --> 00:16:59,030
ุดูˆูŠุฉ ุงู„ุตูˆุฑุฉ ุงุชุทู„ุนูˆุง ุฃู†ุชูˆุง .. oopsุจู†ุฑุฌุน ุดูˆูŠุฉ ู„ูˆ ุงู†ุง
230
00:16:59,030 --> 00:17:08,590
ู…ุซู„ุง ุงุชุทู„ุนูˆู„ูŠ ุงู†ุชูˆุง ุงู„ุขู† ู…ุด ู…ุดูƒู„ุฉ ุนู„ู‰ ุงู„ุนุงู… 1950 ูˆ
231
00:17:08,590 --> 00:17:11,970
ุจุนุฏ ู‡ูŠูƒ ุน ุงู„ุนุงู… ุงู„ู„ูŠ ุจุนุฏ ู…ู†ู‡ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†
232
00:17:11,970 --> 00:17:17,270
ุงุชุทู„ุนูˆุง ู‡ู†ุง ููŠู‡ ุฒูŠุงุฏุฉ ุซู… ู†ู‚ุตุงู† ุซู… ุฒูŠุงุฏุฉ ุซู… ู†ู‚ุตุงู†
233
00:17:17,270 --> 00:17:21,150
ุงุชุทู„ุนูˆุง ุฃูŠูˆุฉ ู‡ู†ุง ุจุชู„ุงู‚ูŠู‡ ุจุนุฏูŠู† ุฒูŠุงุฏุฉ ุซู… ู†ู‚ุตุงู† ุซู…
234
00:17:21,150 --> 00:17:25,560
ุฒูŠุงุฏุฉ ุตุญุŸุจุนุฏูŠู† ุจุชุฌูŠุจ ุงู„ุณู†ุฉ ุจุนุฏ ุงู„ุฒูŠุงุฏุฉ ุซู… ู†ู‚ุตุงู† ุซู…
235
00:17:25,560 --> 00:17:28,740
ุฒูŠุงุฏุฉ ู„ูƒู† ูƒู„ ู‡ู…ุงู„ู‡ุง ุงู„ุฒูŠุงุฏุฉ ู‚ุงุนุฏุฉ ุจุชุฒุฏุงุฏ ุชู„ุงุญุธูŠู†
236
00:17:28,740 --> 00:17:32,980
ุงู„ B ูƒุงู…ุงู„ู‡ ุนุจุฑ ุงู„ุฒู…ู† ุงู„ seasonality ุทูŠุจ ู‡ู†ุง
237
00:17:32,980 --> 00:17:38,620
ุจูŠุฒุฏุงุฏ ุตุญ ูˆ ุฑุบู… ุฃู†ู‡ ุงู„ุจูŠุงู†ุงุช ุจุชุฒุฏุงุฏูู‡ุฐุง ู…ุซุงู„ ุจูŠู‚ูˆู„
238
00:17:38,620 --> 00:17:43,000
ู„ูŠ ุฃู†ู‡ ููŠ seasonุŒ ููŠ ูุตู„ุŒ ููŠ ู…ูˆุณู…ุŒ ููŠ ุนู†ุฏูŠ ุฃู†ุงุŒ
239
00:17:43,000 --> 00:17:47,360
ุฃุตู„ุง ู…ุง ุฃุนุฑู ุฃู†ู‡ ุฃุฏุฏ ุงู„ุฑูƒุงุจ ููŠ ุงู„ุทูŠุฑุงู† ุจูŠูƒูˆู† ููŠ ุงู„
240
00:17:47,360 --> 00:17:50,760
high season ู…ุด ุฒูŠ ุงู„ low seasonุŒ ูŠุนู†ูŠ ููŠ ุฃูŠุงู…
241
00:17:50,760 --> 00:17:54,120
ุงู„ูƒุฑูŠุณู…ุงุณ ูˆ ุฃูŠุงู… ุฃุนูŠุงุฏ ุงู„ู…ูŠู„ุงุฏ ุชุจุน ุงู„ู…ุณูŠุญูŠูŠู† ุฃูˆ
242
00:17:54,120 --> 00:17:59,800
ุฃุนูŠุงุฏ ุงู„ู…ุณู„ู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุฃูˆ ู…ูˆุณู… ุงู„ุญุฌ ุฃูˆ ุบูŠุฑู‡ ู…ูˆุฒูˆู…ุŒ
243
00:17:59,800 --> 00:18:02,960
ุงูˆ ููŠ ุงู„ุดุชุงุก ุฃูˆ ููŠ ุงู„ุตูŠู ุฃูŠุถุง ุจูŠูƒูˆู† ู…ุฎุชู„ู ุชู…ุงู…ุง ุนู†
244
00:18:02,960 --> 00:18:07,900
ุฃุฏุฏ ุงู„ุฑูƒุงุจ ููŠ ูุตูˆู„ ุฃุฎุฑู‰ุŒ ู…ุตุจูˆุทุŸูุนุฏุฏ ุงู„ุฑูƒุงุจ ุนุจุฑ
245
00:18:07,900 --> 00:18:14,060
ุงู„ูุตูˆู„ ูŠุง ุฅู…ุง ู…ุงู„ู‡ ุนุจุฑ ุงู„ุดู‡ูˆุฑ ุนููˆุง ููŠ ูƒู„ ุณู†ุฉ ูŠุง
246
00:18:14,060 --> 00:18:16,720
ุฅู…ุง ุจูŠูƒูˆู† ู…ุฒูŠุงุฏุฉ ุนู† ุงู„ุดู‡ุฑ ุงู„ู„ูŠ ุฌุงุจู„ู‡ ูŠุง ุฅู…ุง ุฃู‚ู„
247
00:18:16,720 --> 00:18:20,640
ุงู„ุงุฎุฑู‡ ูˆู„ูƒู† ุจุดูƒู„ ุนุงู… ู‡ุฐุง ุงู„ู„ูŠ ุฃู†ุชูˆุง ุดุงูŠููŠู†ู‡ ู…ุซุงู„
248
00:18:20,640 --> 00:18:24,800
ุจูŠุจูŠู†ูŠ ุฃู† ููŠ ุนู†ุฏูŠ Hana ุงู„ seasonality ุทูŠุจ ู‡ุฐุง
249
00:18:24,800 --> 00:18:28,300
ุงู„ู…ุซุงู„ ุงู„ุฑุงุจุน ุงู„ู…ุซุงู„ ุงู„ุฎุงู…ุณ ูˆ ุงู„ู„ูŠ ุงุญู†ุง ู…ู…ูƒู† ู†ุฎุชู…
250
00:18:28,300 --> 00:18:33,000
ุนู†ุฏู‡ Hana ููŠ ุงู„ุฃู…ุซู„ุฉ ูŠุนู†ูŠ ุฃู‚ุตุฑู‡ุฐุง ู…ุซุงู„ financial
251
00:18:33,000 --> 00:18:39,140
data financial ูŠุนู†ูŠ ุจูŠุงู†ุงุชู…ุงู„ูŠุฉ ุงู„ financial data
252
00:18:39,140 --> 00:18:43,700
ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ ุงู„ู„ู‰ ุนู†ุฏู‰ ู‡ู†ุง ุทุจุนุง ุจุชู‚ูˆู„ ุงู†ู‡ ุงู†ุง
253
00:18:43,700 --> 00:18:46,720
ููŠ ุนู†ุฏู‰ ุญุงุฌุฉ ุงุณู…ู‡ุง ุงู„ volatility ุงูˆ ุงู„ู„ู‰ ู‡ูˆ ุงู„
254
00:18:46,720 --> 00:18:49,200
variability ุงู„ variability ุงู„ู„ู‰ ู‡ู‰ ุงู„ุชุดุชุชุงุช
255
00:18:49,200 --> 00:18:52,240
ุงู„ุดุฏูŠุฏุฉ ุงู„ู…ุชู‚ุงุฑุจุฉ ุงู„ู„ู‰ ุจุงู„ุดูƒู„ ู‡ุฐุง ุงุณู…ู‡ุง volatility
256
00:18:52,240 --> 00:18:57,360
ุจุงู„ู…ู†ุงุณุจุฉ ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ู„ูˆ ุงุทู„ุนุชู‡ ุงู†ุช ุดูˆ ุชุนู…ู„ ููŠู‡ุง
257
00:18:57,360 --> 00:19:00,420
ุจุตุฑุงุญุฉ ุฏู‰ ูŠุนู†ูŠ ุงูŠุด ุชุนู…ู„ู‡ุง ุงูŠุด ุชู„ุงู‚ูŠ ู„ู‡ุง model
258
00:19:00,420 --> 00:19:03,480
ูŠูˆุตูู‡ุง ุงู†ุง ุจู‚ูˆู„ูƒ ุงู†ู‡ ุงุญู†ุง ุจู†ู‚ุฏุฑ ู†ู„ุงู‚ูŠ ู„ู‡ุง ููŠ
259
00:19:03,480 --> 00:19:07,420
ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ูˆููŠ ุงู„ู…ูˆุถูˆุน ู…ุงุฏุชู†ุงุจู†ุฌูŠู„ู‡ุง ุงู„ model
260
00:19:07,420 --> 00:19:14,610
ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ุฃู† ุดูƒู„ู‡ุง ุนุดูˆุงุฆูŠ ุตุญุŸุนู„ู‰ ุฑุบู… ุฃู†ู‡ ุดูƒู„ู‡ุง
261
00:19:14,610 --> 00:19:19,630
ุนุดูˆุงุฆูŠ ูˆุตุนุจุฉ ุงู„ูˆุตู ุฅู„ุง ุฃู†ู‡ ู†ุณุชุทูŠุน ุงู„ู‚ูˆู„ ุจุฃู†ู†ุง ููŠ
262
00:19:19,630 --> 00:19:23,150
ู…ุงุฏุชู†ุง ู‡ุฐู‡ ู‡ู„ุงุฌูŠู†ู‡ุง model ูŠูˆุตูู‡ุง ุงู„ุฌุฑุด ูˆุงู„ุฃุฑุด
263
00:19:23,150 --> 00:19:27,710
ูˆุงู„ุฃุฎุฑู‰ ุทุจุนุง ู„ู…ุง ู†ุตู„ู‡ุง ู…ุงุดูŠ ุงู„ุญุงู„ ูˆ ุจุงู„ู…ู†ุงุณุจุฉ ู‡ุฐุง
264
00:19:27,710 --> 00:19:32,590
ุงู„ุจู†ูŠ ุขุฏู… ููŠ ุงู„ุนุงู… 1982 ุนู„ู‰ ู…ุง ุฃุฐูƒุฑ ุงู„ู„ูŠ ุงุณุชุทุงุน
265
00:19:32,590 --> 00:19:35,750
ุฃู†ู‡ ูŠูˆุตู ุจูŠุงู†ุงุช ุจุงู„ุดูƒู„ ู‡ุฐุง ุฃุฎุฏ ุฌุงุฆุฒุฉ ู†ูˆุจู„ ู‡ูˆ
266
00:19:35,750 --> 00:19:41,050
ุจุฑูŠุทุงู†ูŠ ููŠ ุฐุงูƒ ุงู„ูˆู‚ุชู„ุฃู†ู‡ ู‚ุงู„ูˆุง ุจุงู„ุงุฎูŠุฑ ุจุฃู†ู‡ ู…ู†
267
00:19:41,050 --> 00:19:46,510
ุฎู„ุงู„ ูˆุตู ู„ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ูˆุงู„ุชู†ุจุค ุงู„ู…ุณุชู‚ุจู„ูŠ ุงุณุชุทุงุน ุฃู†
268
00:19:46,510 --> 00:19:50,010
ูŠูˆูุฑ ุนู„ู‰ ุงู„ุดุฑูƒุงุช ุงู„ู…ุงู„ูŠุฉ ู…ู„ูŠุงุฑุงุช ุงู„ุฏูˆู„ุงุฑุงุช ู…ู†
269
00:19:50,010 --> 00:19:54,510
ุงู„ุญุณุงุฆุฑ ููŠู…ุง ู„ูˆ ู„ู… ูŠุณุชุทุน ุฅูŠุฌุงุฏ ุงู„ู†ู…ูˆุฐุฌ ู„ูŠุตู ู‡ุฐู‡
270
00:19:54,510 --> 00:19:59,130
ุงู„ุจูŠุงู†ุงุช ุชู…ุงู…ุŸ ุทุจุนุง ู‡ุฐุง ุงู„ู…ุซุงู„ ุจุงู„ู…ู†ุงุณุจุฉู‡ูˆ ุนุจุงุฑุฉ
271
00:19:59,130 --> 00:20:02,990
ุนู† ู…ุซุงู„ ุฅูŠู‡ ู„ู‡ ุนู„ุงู‚ุฉ ุจุงู„ stock exchange ุงู„ู„ูŠ ู‡ูŠ
272
00:20:02,990 --> 00:20:07,570
ุจูˆุฑุตุฉ ุงู„ู…ุงู„ ุชุจุนุช ู†ูŠูˆูŠูˆุฑูƒ ุงู„ returns ุงู„ุนุงุฆุฏ ุชุจุนุช
273
00:20:07,570 --> 00:20:11,990
ุจูˆุฑุตุฉ ุงู„ู…ุงู„ ู…ุงุดูŠ stock exchange ูŠุง ุดุจุงุจ stock
274
00:20:11,990 --> 00:20:16,620
exchange ู…ุนู†ุงู‡ุง ุงู„ุจูˆุฑุตุฉ ุชุจุนุช ุงู„ู…ุงู„ ู…ุงุดูŠู…ู† February
275
00:20:16,620 --> 00:20:25,620
2nd 1984 ู„ December 31 1991 ูŠุนู†ูŠ ู…ู† ุงู„ุนุงู… 1984
276
00:20:25,620 --> 00:20:30,220
ุงู„ุซุงู†ูŠ ู…ู† February ุฅู„ู‰ ุงุฎุฑ ูŠูˆู… ููŠ ุงู„ุณู†ุฉ ู…ู† ุนุงู…
277
00:20:30,220 --> 00:20:34,680
1991 ู‡ุฐู‡ ุงู„ุจูŠุงู†ุงุช ุงู„ู…ุงู„ูŠุฉ ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง ูˆุงุถุญ
278
00:20:34,680 --> 00:20:37,920
ุงู†ู‡ุง ููŠ ุนู†ุฏู‰ ุญุงุฌุฉ ุงุณู…ู‡ุง variability ุงู„ู„ูŠ ู‡ูŠ
279
00:20:37,920 --> 00:20:41,800
variability ุงู„ุชุดุชุชุงุช ุงู„ุดุฏูŠุฏุฉ ุงูˆ ุงู„ู„ูŠ ู‡ูˆ ุจูŠุณู…ูˆู‡ุง ููŠ
280
00:20:41,800 --> 00:20:45,280
ุงู„ financial data financial ูŠุนู†ูŠ ู…ุงู„ูŠุจุณู…ูˆู‡ุง
281
00:20:45,280 --> 00:20:49,560
volatility ุนู„ู‰ ุงู„ุฑุบู… ู…ู† ุฃู† ุงู„ุจูŠุงู†ุงุช ู‡ู†ุง ุชุชุฐุจุฐุจ ุญูˆู„
282
00:20:49,560 --> 00:20:53,500
ุงู„ุณูุฑ ุงู„ูˆุณุท ุญุณุงุจ ุงู„ุณูุฑ ุฃู‡ ุฅู„ุง ุฅู†ู‡ ููŠ variability
283
00:20:53,500 --> 00:20:57,680
ุนุงู„ูŠ ุนู„ู‰ ู‡ุฐู‡ ุจุชู‚ูˆู„ ุฅู†ู‡ ููŠ ูƒุงุฑุซุฉ ุตุงุฑุช ููŠ ู‡ุฐุง ุงู„ูŠูˆู…
284
00:20:57,680 --> 00:21:03,660
ุฎู„ู‰ ุงู„ุฃุณุนุงุฑ ู…ู†ู‡ุง ุชู†ุฒู„ ุจุดูƒู„ ุญุงู„ ุงู„ุงุฎุฑู‡ ู‡ุฐู‡ ุดูƒู„ู‡ุง
285
00:21:03,660 --> 00:21:07,260
ู‚ุฑูŠุจ ู„ู„ random ุฅู„ุง ุฅู†ู‡ ุงุญู†ุง ุฑุบู… ุฐู„ูƒ ูƒู†ุง ุจู†ู„ุงู‚ูŠ ู„ู‡ุง
286
00:21:07,260 --> 00:21:12,240
model ูŠูˆุตูู‡ุง ุฒูŠ ู…ุง ุงุชูู‚ู†ุง ู…ุงุดูŠ ุงู„ุญุงู„ุŸ ุทูŠุจู„ุฐู† ุตุงุฑ
287
00:21:12,240 --> 00:21:16,040
ู„ู†ุง ุฃู†ู†ุง ุชู‚ุฑูŠุจุง ู†ูŠุฌูŠ ู†ุญูƒูŠ ุนู† ุญูˆุงู„ูŠ ุฎู…ุณ ุฃู…ุซู„ุฉ ู‡ุฏูˆู„
288
00:21:16,040 --> 00:21:20,720
ุทุจุนุง ู…ุด ูƒู„ ุดูŠุก ูˆู„ูƒู† ุจุดูƒู„ ุนุงู… ุจุชุจูŠู†ูŠ ุฃู†ู‡ ู…ู…ูƒู† ููŠ
289
00:21:20,720 --> 00:21:25,700
ุงู„ุญูŠุงุฉ ุชูˆุงุฌู‡ู†ูŠ ู†ู…ุงุฐุฌ ู„ุณู„ุงุณู„ ุนูู†ุฒู…ุงู†ูŠุฉ ุจุงู„ุดูƒู„ ู‡ุฐุง ูˆ
290
00:21:25,700 --> 00:21:30,120
ุงุญู†ุง ุฏูˆุฑู†ุง ููŠู…ุง ุจุนุฏ ุฃู†ู‡ ู†ูˆุตู ู‡ุฐู‡ ู…ู† ุงู„ุณู„ุงุณู„ ุนู„ู‰
291
00:21:30,120 --> 00:21:33,640
ุจุงู„ู…ู†ุงุณุจุฉ ูƒู„ู…ุฉ annual numbers ู‡ุฐู‡ ู…ุนู†ุงู‡ุง annual
292
00:21:33,640 --> 00:21:40,140
ุณู†ูˆูŠ ูŠุนู†ูŠ ุณู†ูˆูŠ ุงู‡ annual ุณู†ูˆูŠ ูŠุนู†ูŠ yearly ุงู‡ู…ุงุดูŠ
293
00:21:40,140 --> 00:21:44,540
ุนุดุงู† ุงู„ู„ูŠ ู…ุด ุนุงุฑู ู…ุซู„ุง ุทูŠุจ ุงู„ุขู† ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ
294
00:21:44,540 --> 00:21:49,020
ุงู„ู„ูŠ ุงุชูู‚ู†ุง ุฃู†ู‡ ู†ุฑู…ุฒ ู„ู‡ุง ุจุงู„ุฑู…ุฒ XT ููŠู†ุง ุฃู†ู‡ ู†ูŠุฌูŠ
295
00:21:49,020 --> 00:21:53,780
ู†ู‚ูˆู„ ู…ู† ุฃูŠู† ุฌุงุกู‡ุง ุงู„ components ุชุจุนูˆู†ู‡ุง ู†ุญูŠุง ุฅูŠุด
296
00:21:53,780 --> 00:21:57,380
ุงู„ components ุชุจุนูˆู† ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ูŠุนู†ูŠ ุฏุฑุฌุฉ
297
00:21:57,380 --> 00:22:02,400
ุงู„ุญุฑุงุฑุฉ ู…ุซู„ุง ู…ุซู„ุง ูŠุง ุดุจุงุจ ุงู„ูŠูˆู… ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุฎู…ุณุฉ
298
00:22:02,400 --> 00:22:07,150
ููˆู‚ ุงู„ุณูุฑู…ุงุดูŠุŸ ุงู…ุจุงุฑุญ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„
299
00:22:07,150 --> 00:22:13,130
ุชู„ุชุงุด ููˆู‚ ุงู„ุณูุฑ ุณุคุงู„ูŠ ู…ู† ุฃูŠู† ุฌุงุก ุงู„ุฑู‚ู… ุฎู…ุณุฉุŸ ู„ูŠุด
300
00:22:13,130 --> 00:22:17,590
ุงู„ูŠูˆู… ุฎู…ุณุฉ ูˆุงู…ุจุงุฑุญ ุชู„ุชุงุดุŸ ู„ูŠุด ู…ุงุดูŠ ุงู„ุฑู‚ุงู…ูŠู† ุฒูŠ
301
00:22:17,590 --> 00:22:23,380
ุจุนุถุŸู„ูŠุด ุงุฎุชู„ู ุงู„ุฑู‚ู…ุŸ ุชู…ุงู…ุŸ ูู„ูŠุด ุงู„ XT .. ุงู„ XT
302
00:22:23,380 --> 00:22:27,180
ุงู„ู„ูŠ ู‡ูˆ ุงู„ูŠูˆู… ุฎู…ุณุฉุŸ ุจูŠู†ู…ุง ุงู„ XT .. ุงู„ X ุฏูŠ ู‡ูŠ ุงู„
303
00:22:27,180 --> 00:22:29,640
component ุงู„ู„ูŠ ุนููˆู‹ุง .. ุงู„ .. ุงู„ .. ุงู„ observed
304
00:22:29,640 --> 00:22:33,440
ุชุจุนุชูŠ ุงู„ุฏุฑุฌุฉ ุงู„ุญุฑุงู…ุŒ ุงู„ุจุงุฑุญ ุชู„ุชุงุดุฑุŒ ูุจู†ู‚ูˆู„ู‡ ู„ุฅู†ู‡
305
00:22:33,440 --> 00:22:37,700
ูˆุงู„ู„ู‡ ููŠ ุญุงุฌุฉ ุงุณู…ู‡ุง componentsุŒ ู…ุฑูƒุจุงุชุŒ ู‡ุฏูˆู„
306
00:22:37,700 --> 00:22:43,360
ุงู„ู…ุฑูƒุจุงุช ู…ุน ุจุนุถ ุงุฌุชู…ุนูˆุงุŒ ุชู…ุงู…ุŸ ูˆุนุทูˆู†ูŠ ุงู„ุฑู‚ู… ุงู„ู„ูŠ
307
00:22:43,360 --> 00:22:48,380
ุงู†ุช ุดูุชู‡ุŒ ุงู„ู„ูŠ ู‡ูˆ ุฎู…ุณุฉุŒ ูุฏูˆุฑู†ุง ุงุญู†ุง ูƒุฅุญุตุงุฆูŠูŠู†
308
00:22:49,050 --> 00:22:53,270
ูˆุจู†ุฏุฑุณ ุณู„ุงุณู„ ุฒู…ุงู†ูŠุฉ ุงู†ู‡ ู†ุนุฑู ุงู„ components ู‡ุฐู‡
309
00:22:53,270 --> 00:22:59,110
ู†ุญู„ู„ู‡ุง ู†ุนู…ู„ู‡ุง ู…ุง ูŠุนุฑู ุจูƒู„ู…ุฉ decompose decompose
310
00:22:59,110 --> 00:23:04,630
ุชุญู„ูŠู„ decompose ุชุฌู…ูŠุน ุชุฑูƒูŠุจ ูุฏูˆุฑู†ุง ุงู†ู‡ ู†ุนู…ู„
311
00:23:04,630 --> 00:23:08,530
decompose ู„ู„ุณู„ุณู„ุฉ ู†ุนุฑู ู…ู† ุงูŠู† ุฌุงุก ุงู„ุฑู‚ู… ุฎู…ุณุฉ ู…ุงุดูŠ
312
00:23:08,530 --> 00:23:13,190
ู‡ู†ุง ูุงู„XT can be decomposed in four in general
313
00:23:13,190 --> 00:23:17,550
ุทุจุนุง ุจุดูƒู„ ุงู‚ู„ ุงู„ู‰ ุงุฑุจุนุฉ componentsุงู„ุงุฑุจุน
314
00:23:17,550 --> 00:23:21,490
components ูŠุง ุดุจุงุจ ู‡ู… ุนุจุงุฑุฉ ุนู† ุงู„ secular trend
315
00:23:21,490 --> 00:23:24,770
ุงู„ู„ูŠ ู‡ูˆ ุงู„ general trend ู„ุงุชุฌุงู‡ ุงู„ุนุงู… ุงู„ู„ูŠ ู‡ูˆ ูŠุง
316
00:23:24,770 --> 00:23:28,630
ุฅู…ุง ุชุฒุงูŠุฏ ู„ุงุชุฌุงู‡ ุงู„ุนุงู… ู‡ูˆ ูŠุง ุฅู…ุง ุชู†ุงู‚ุต ูˆ ุงู„
317
00:23:28,630 --> 00:23:31,730
general trend ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ smooth long term
318
00:23:31,730 --> 00:23:36,370
direction ุงู„ direction ุชุจุน ุงู„ุณู„ุณู„ ู„ู„ุงุชุฌุงู‡ ูŠุง ุฅู…ุง
319
00:23:36,370 --> 00:23:39,510
upward ูŠุนู†ูŠ increase ูŠุง ุฅู…ุง downward ูŠุง ุฅู…ุง
320
00:23:39,510 --> 00:23:46,660
decrease ุนุจุฑ ุงู„ุฒู…ู† ุชู…ุงู…ุŸูุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ุจุชุชูƒูˆู† ู…ู†
321
00:23:46,660 --> 00:23:50,760
ุฃุฑุจุน components ุฃูˆู„ component ู‡ูˆ ู…ูŠู† ุงู„ general
322
00:23:50,760 --> 00:23:54,060
trend ุงู„ trend ูˆ ุงู„ู„ูŠ ู‡ูˆ ู…ุซู„ุง ุฅุฐุง ุจุชุญุจ ุชุดูˆูู‡
323
00:23:54,060 --> 00:23:58,960
ุจุชู„ุงู‚ูŠู‡ ู…ุซู„ุง ูƒู…ุซุงู„ ุฃูˆ ุชูˆุถูŠุญ ู‚ุฏ ูŠูƒูˆู† ุชุฒุงูŠุฏูŠ ุจุงู„ุดูƒู„
324
00:23:58,960 --> 00:24:03,300
ู‡ุฐุง ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ูƒุงู† ูŠูƒูˆู† ู‚ู†ุงู‚ุตูŠ ู‚ุฏ ูŠูƒูˆู†
325
00:24:03,300 --> 00:24:08,140
ุชู†ุงู‚ุตูŠ ูˆ ู‚ุฏ ู„ุง ูŠูƒูˆู† ู‡ู†ุงูƒ ู…ุงู„ู‡ trend ู‡ุฐุง ู…ุงููŠู‡
326
00:24:08,140 --> 00:24:13,020
trend ุงู„ุญุงู„ุฉ ุงู„ุชุงู„ุชุฉู…ุงุดูŠุŸ ุจูŠู†ู…ุง ุงู„ุญุงู„ุฉ ุงู„ุฃูˆู„ู‰ ูˆุงุถุญ
327
00:24:13,020 --> 00:24:18,300
ุงู† ุงุชุฌุงู‡ ุงู„ุนุงู… ุชุฒุงูŠุฏ ุงู„ุญุงู„ุฉ ุงู„ุชุงู†ูŠุฉ ูˆุงุถุญ ุงู† ุงุชุฌุงู‡
328
00:24:18,300 --> 00:24:24,300
ุงู„ุนุงู… ู…ุงู„ู‡ ุชู†ุงู‚ุต ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู‡ ู‡ุฐุง ุงุญุฏ ุงู„
329
00:24:24,300 --> 00:24:28,360
components ุงู„ู„ูŠ ู…ู…ูƒู† .. ุนุดุงู† ุงูˆุถุญ ุงูƒุชุฑ ูˆ ุงูƒุชุฑ ู…ุซู„ุง
330
00:24:28,360 --> 00:24:32,680
ุงู†ุง ุฎู„ูŠู†ูŠ ุญุงุฌุฉ ุงู‚ูˆู„ ุจุดูƒู„ ูˆุงุถุญ ูŠุนู†ูŠ ู‡ูŠูƒ ุจูŠุตูŠุฑ
331
00:24:32,680 --> 00:24:36,000
ุจุตุฑุงุญุฉ ููŠ ุงู„ุญูŠุงุฉ ุงู„ุนู…ู„ูŠุฉ ู…ุซู„ุง ุงูŠุฌูŠ ู†ุญูƒูŠ ุนู† ู…ุจูŠุนุงุช
332
00:24:36,000 --> 00:24:42,190
ุนุจุฑ ุงู„ูุตูˆู„ ุงุญู†ุง ุจู†ุญูƒูŠ ุนู† ุนุงู… 1990ู…ุฌุฒู‘ุฉ ุฅู„ู‰ ุฃุฑุจุน
333
00:24:42,190 --> 00:24:46,390
ูุตูˆู„ ุงู„ุนุงู…
334
00:24:46,390 --> 00:24:54,730
1991 ุฃูŠุถู‹ุง ุฃุฑุจุน ูุตูˆู„ ูˆู‡ูƒุฐุง
335
00:24:54,730 --> 00:25:02,230
ูˆู‡ุฐู‡ ุงู„ู…ุจูŠุนุงุช ุงู„ู„ูŠ ุงุชูู‚ู†ุง ุงุณู…ู‡ุง XT ู…ุซู„ู‹ุง ู‡ู†ุง ุฎู…ุณุฉ
336
00:25:02,230 --> 00:25:07,190
ุทู† ู‡ู†ุง ุณุจุนุฉ ุทู† ู‡ู†ุง ุชู„ุชุงุด ู‡ู†ุง ุงุชู†ูŠู† ู‡ู†ุง ุณุจุนุฉ ู‡ู†ุง
337
00:25:07,190 --> 00:25:13,490
ุชู…ุงู†ูŠุฉ ู‡ู†ุง ุงุฑุจุนุชุงุด ู‡ู†ุง ู…ุซู„ู‹ุง ุชู†ูŠู†ูˆ ู‡ูƒุฐุง ุณุคุงู„ูŠ
338
00:25:13,490 --> 00:25:20,410
ุงุชูู‚ู†ุง ุจุฅู†ู‡ ู„ูŠุด ู‡ุงูŠ ุฎู…ุณุฉ ูˆ ู‡ุงูŠ ุณุจุนุฉุŸ ู‡ุงูŠ ุฎู…ุณุฉ ูุตู„
339
00:25:20,410 --> 00:25:23,430
ุงู„ุฃูˆู„ ู…ู† ุนุงู… ุชุณุนูŠู†ุŒ ู‡ุงูŠ ุณุจุนุฉ ุจุฑุถู‡ ูุตู„ ุงู„ุฃูˆู„ ูˆู„ูƒู†
340
00:25:23,430 --> 00:25:26,990
ุฃู‡ู… ูˆุงุญุฏ ุชุณุนูŠู†ุŒ ูˆ ู„ูŠุด ู‡ุงูŠ ุฎู…ุณุฉ ูˆ ู‡ุงูŠ ุณุจุนุฉุŸ ู„ูŠุด
341
00:25:26,990 --> 00:25:32,220
ุชุบูŠุฑ ุงู„ุฑู‚ู…ุŸ ูู‚ู„ู†ุง ู„ุฅู†ู‡ ููŠ components ู…ุฑูƒุจุงุชุฃุฑุจุน
342
00:25:32,220 --> 00:25:35,260
ู…ุฑุงูƒุจุงุช ุจุดูƒู„ ุนุงู… ู…ุด ุตุงุฑุช ูŠูƒูˆู†ูˆุง ุงู„ุฃุฑุจุน ู…ุฑุงูƒุจุงุช
343
00:25:35,260 --> 00:25:40,040
ู…ูˆุฌูˆุฏูŠู† ูˆู„ูƒู† ุจุดูƒู„ ุนุงู… ุจูŠูƒูˆู† ุนู†ุฏูŠ ุฃุฑุจุน components
344
00:25:40,040 --> 00:25:44,180
ู‡ู… ุงู„ู„ูŠ ุจูŠุญุฏุฏูˆุง ู„ู…ูŠู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ุฑู‚ู… ู‡ุฐุง ู…ู† ุงุญูŠุงู†
345
00:25:44,180 --> 00:25:49,960
ุงู„ุฃุฑุจุน components ู‡ู… ู„ู„ trend ูˆุงู„
346
00:25:49,960 --> 00:25:56,600
component ุงู„ุชุงู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ุงุณู…ู‡ ุงู„ season ูˆุงู„
347
00:25:56,600 --> 00:26:01,420
component ุงู„ุชุงู„ุช ุงู„ู„ูŠ ุงุณู…ู‡ ุงู„ cycleูˆุงุฎุฑ ูˆุงุญุฏ ุงู„ู„ูŠ
348
00:26:01,420 --> 00:26:05,020
ู‡ูˆ ุงู„ random ุงูˆ ุงู„ irregular ุงู„ู„ูŠ ู‡ูˆ ุบูŠุฑ ู…ู†ุชุธู…
349
00:26:05,020 --> 00:26:11,520
ูŠุนู†ูŠ random ุงูˆ irregular ู‡ุฐุง ุงู„ุฃุฑุจุน ู…ุน ุจุนุถ ุจุทุฑูŠู‚ุฉ
350
00:26:11,520 --> 00:26:12,860
ู…ุง mathematically
351
00:26:15,410 --> 00:26:20,110
ู…ู…ูƒู† ุงู† ู†ุฌู…ุญู‡ู… ุจ model ู…ุนูŠู† ู…ู…ูƒู† ู†ุฌู…ุญู‡ู… ุชุฌู…ูŠุนูŠ
352
00:26:20,110 --> 00:26:24,070
ูŠุนู†ูŠ ุฌู…ุนู‡ู… ู…ุน ุจุนุถ ู†ุฌู…ุญู‡ู… ู…ู…ูƒู† ู†ุถุฑุจู‡ู… ู…ู…ูƒู† ู†ุฑูุนู‡ู… ู„
353
00:26:24,070 --> 00:26:30,530
function ู…ุนูŠู†ุฉ ุจุทุฑูŠู‚ุฉ ู…ุง ู‡ุฏูˆู„ ุจูŠุนู…ู„ูˆู† ู…ุน ุจุนุถ ุงู„ุฑู‚ู…
354
00:26:30,530 --> 00:26:34,390
ุฎู…ุณุฉ ุงูˆ ุจูŠุนู…ู„ูˆู† ู…ุน ุจุนุถ ุงู„ุฑู‚ู… ุณุจุนุฉ ูˆ ู‡ูƒุฐุง ุนุจุฑ
355
00:26:34,390 --> 00:26:38,610
ุงู„ุฃุฒู…ู†ุฉ ุทุจุนุง ู…ุด ุงู„ุญุงู„ ู„ุงู† ูƒู„ ูˆุงุญุฏ ุนุจุฑ ุงู„ุฒู…ู† ู…ูˆุฌูˆุฏ
356
00:26:38,610 --> 00:26:44,980
ู…ูู‡ูˆู…ุด ู‡ุฐุงุŸูุฏูˆุฑู†ุง ุงุญู†ุง ูƒุฅุญุตุงุฆูŠูŠู† ู†ุนู…ู„ decomposeุŒ
357
00:26:44,980 --> 00:26:49,820
ุดูˆ decomposeุŸ ู‡ุฐู‡ ุงู„ู„ู‚ู… ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุงู„ู„ูŠ ู‡ูˆ
358
00:26:49,820 --> 00:26:53,560
composed ูŠุนู†ูŠ ู…ูˆุฌูˆุฏู‡ุง ุฃู†ุง ู…ุฌู…ุนุฉ ุนู„ู‰ ุงู†ู‡ ุฎู…ุณุฉ ู†ุนู…ู„ู‡
359
00:26:53,560 --> 00:26:59,740
decomposeุŒ ู†ุญู„ู„ู‡ุŒ ู†ุฑูˆุญ ู†ุฌูŠุจ ู‡ุฏูˆู„ุฉุŒ ุจู‡ุฏู ู„ู…ุง ุงู†ุช
360
00:26:59,740 --> 00:27:04,300
ุนุงุฑู ุงู„ุฎู…ุณุฉ ุฒูŠ ู‚ุตุฉ ุงู„ DNA ููŠ ุงู„ุฏู…ุŒ ูู„ูˆ ุนุฑูุชูˆุง ุฅูŠุด
361
00:27:04,300 --> 00:27:07,960
ู…ูˆุงุตูุงุช ุงู„ DNA ู„ู„ุฅู†ุณุงู† ูˆุบูŠุฑู‡ ู‚ุฑุนุชู‡ู… ุงู†ุช ุณุงูŠุชู‡ุงุŒ
362
00:27:07,960 --> 00:27:11,530
ุจุชู‚ุฏุฑ ุชุนู…ู„ ุฅูŠุด ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠู‡ุงุŒ ู…ุตุจูˆุญุŸูุงู†ุช ู„ุบุงูŠุฉ ู„ู…ุง
363
00:27:11,530 --> 00:27:16,170
ุชุนุฑู ุงู„ุณู„ุณู„ุฉ ุงู„ุชุญู„ูŠู„ ุชุจุนู‡ุง ุฃุตูˆู„ู‡ุง ุชุฑุฌุญู‡ุง ู„ุฃุตู„ู‡ุง ู‡ูŠ
364
00:27:16,170 --> 00:27:19,170
ุจู‚ู‰ ุฎู„ุงุต ุจุชู‚ุฏุฑ ุชุนู…ู„ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ ู…ู† ู†ุงุญูŠุฉ ุงู„
365
00:27:19,170 --> 00:27:23,940
prediction ูˆ ู‡ูƒุฐุง ูˆุตู„ุช .. ูˆุตู„ุช ููƒุฑุงุŸ ุทูŠุจุฅุฐุง ุงู„
366
00:27:23,940 --> 00:27:26,900
trend ุดูุชูˆุง ุฃู†ุชูˆุง ุงู„ุฃู…ุซู„ุฉ ุงู„ู„ูŠ ู‚ุจู„ ุดูˆูŠุฉ ุญูƒูŠู†ุง ุนู†ู‡ุง
367
00:27:26,900 --> 00:27:30,780
ุฃู†ู‡ ูŠุง ุฅู…ุง ุชุฒุงูŠุฏ ูŠุง ุงุจู†ูŠุง ูŠุง ุฅู…ุง ู…ูŠู† ุชู†ุงู‚ุต ูŠุง ุฅู…ุง
368
00:27:30,780 --> 00:27:34,640
ูŠูƒูˆู† ู…ุงู„ู‡ ู…ุชุฐุจุฐุจ ูŠุนู†ูŠ ู„ุงู‡ ุชุฒุงูŠุฏ ู„ู‡ ูˆู„ุง ู‡ูˆ ุชู†ุงู‚ุตู‡
369
00:27:34,640 --> 00:27:39,220
ุงู„ season ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุตู„ ูŠุนู†ูŠ ุฃูˆ ุงู„ู…ูˆุณู… ู‡ุฐุง ู‡ูˆ ุฅูŠุด
370
00:27:39,220 --> 00:27:42,440
ุชุนุฑูŠูู‡ ูŠุง ุงุจู†ูŠ ุชุนุฑูŠูู‡ ู‡ูˆ ุงู„ pattern of change
371
00:27:42,440 --> 00:27:48,140
ุนุจุงุฑุฉ ุนู† ู†ู…ุท ุงู„ุชุบูŠุฑ in a time within a year ุดูˆ
372
00:27:48,140 --> 00:27:52,910
ูŠุนู†ูŠ within a year ูŠุนู†ูŠ ุฌูˆุงุฏ ุงู„ุณู†ุฉ ุฏุงุฎู„ ุงู„ุณู†ุฉwhich
373
00:27:52,910 --> 00:27:56,430
to play .. which to tend .. which ุนููˆุง .. which
374
00:27:56,430 --> 00:28:01,030
tend to repeat itself every year ุฃูˆ each year
375
00:28:01,030 --> 00:28:07,970
ูุจุชูƒุฑุฑ ู†ูุณู‡ุง ูƒู„ ุณู†ุฉ ูƒู…ุงู† ู…ุฑุฉ ู‡ูŠ ุนุจุงุฑุฉ ุนู† ู†ู…ุท ุจุชูƒุฑุฑ
376
00:28:08,980 --> 00:28:13,980
ูƒู„ ุณู†ุฉ ูˆู„ูƒู† ู‡ุฐุง ุงู„ู†ู…ุท ู…ุชู‰ ุจูŠุญุฏุซ ุฃูˆ ุฏุงุฎู„ ุงู„ุณู†ุฉ
377
00:28:13,980 --> 00:28:17,780
ุงู„ุฐุงุช ู†ูุณู‡ุงุŒ ู…ุงุนุฑูุด ุงู„ุญุงุฌุฉุŸ ุทูŠุจ ุงู„ุณู†ุฉ ู‡ุฐู‡ ู…ุด ูŠุนู†ูŠ
378
00:28:17,780 --> 00:28:21,260
.. ู…ุด ุฅุดูŠ ู…ู‚ุฏุณุŒ ู…ู…ูƒู† ูŠูƒูˆู† ุฏุงุฎู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ูุงุฑู‚
379
00:28:21,260 --> 00:28:24,380
ุงู„ุฃุณุจูˆุนูŠ ูˆุฏุงุฎู„ .. ูŠุนู†ูŠ ุฏุงุฎู„ ุงู„ period of timeุŒ
380
00:28:24,380 --> 00:28:27,760
ู…ุงุนุฑูุด ุงู„ุญุงุฌุฉุŸ ูˆู„ูƒู† ุงุญู†ุง ุจู†ูุถู„ ุฃู†ู‡ ู†ุณุชุฎุฏู…ู‡ ู…ูŠุงู‡
381
00:28:27,760 --> 00:28:31,600
ุณู†ูˆูŠู‹ุงุŒ ู…ุงุนุฑูุด ุงู„ุญุงุฌุฉุŸ ูุงู„ seasonality ูŠูุถู„ ุงู„ูƒู„ุงู…
382
00:28:31,600 --> 00:28:36,170
ุนู„ูŠู‡ ุฃู†ู‡ ูŠุดูƒู„ ุณู†ุฉ ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงุญู†ุง ู‚ุณู…ู†ุง
383
00:28:36,170 --> 00:28:41,430
ุงู„ุณู†ุฉ ุงู„ู‰ ุงุฑุจุน ูุตูˆู„ ู…ุซู„ุง ูุตู„ ุงู„ุดุชุงุก ุฑุจูŠุน ุฎุฑูŠู ูˆ
384
00:28:41,430 --> 00:28:46,950
ู‡ูƒุฐุง ุงูˆ ู…ู…ูƒู† ุชู‚ุณู…ูˆุง ุงู„ุณู†ุฉ ู„ู„ุดุจุงุจ ุงู„ู‰ ุชู„ุงุช ูุตูˆู„ ุฒู‰
385
00:28:46,950 --> 00:28:53,910
ุงู„ุฌุงู…ุนุฉ ูุตู„ ุงูˆู„ ูุตู„ ุชุงู†ู‰ ูˆ ูุตู„ ุงู„ุตูŠู ู…ุตุจูˆุญ ุงูˆ ุญุชู‰
386
00:28:53,910 --> 00:28:58,450
ุงู„ุฌุงู…ุนุฉ ู…ู…ูƒู† ุชู‚ุณู…ูˆู‡ุง ุงู„ู‰ ูุตู„ูŠู† ูุตู„ ุงูˆู„ ูˆ ูุตู„ ุชุงู†ู‰
387
00:28:58,450 --> 00:29:01,530
ุตุญ ู…ุตุจูˆุญ
388
00:29:02,210 --> 00:29:05,930
ุงู„ู…ู‡ู… ูุงู†ุช ุงู„ุขู† ุงู„ seasonal variation ูƒุฑุณู…ุฉ ู„ูˆ
389
00:29:05,930 --> 00:29:09,630
ุจุชุญุจูˆุง ุชุดูˆููˆู‡ ู‡ูˆ ุจูŠุทู„ุน ู‡ูŠูƒ ุดูƒู„ู‡ ูŠุนู†ูŠ ู„ูˆ ุทู„ุนู†ุง
390
00:29:09,630 --> 00:29:13,670
ูุจู†ู„ุงู‚ูŠ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง ุฏูŠ ู…ุฌุฑุฏ ุฑุณู…ุฉ ุชูˆุถุญูŠุฉ
391
00:29:13,670 --> 00:29:19,270
ุงู† ุงู„ุนุงู… 2003 ุงุญู†ุง ู‚ุณู…ู†ุงู‡ุง ุฅู„ู‰ ุฃุฑุจุน ูุตูˆู„ 2004 ุฅู„ู‰
392
00:29:19,270 --> 00:29:25,120
ุฃุฑุจุน ูุตูˆู„ ูˆู‡ูƒุฐุงููˆุงุถุญ ุงู† ู‡ู†ุง ููŠ ุนู†ุฏูƒ ุงู„ุงู† ุงู„ู…ุจูŠุนุงุช
393
00:29:25,120 --> 00:29:28,440
ุงู„ู†ู…ุท ุทุจุนุชู‡ุง ู…ุซู„ุง ุนู„ู‰ ุณุจูŠู„ ุงู„ู…ุซุงู„ ู‡ุฐู‡ ุงู„ู…ุจูŠุนุงุช
394
00:29:28,440 --> 00:29:33,940
ู…ุซู„ุง ู‡ุงู† ุฃุฌู„ ู…ู† ุงู„ู…ูˆุณู… ุงู„ุชุงู†ูŠ ู†ูุณ ุงู„ุดูŠ ู‡ุงู† ุฃุฌู„ ู…ู†
395
00:29:33,940 --> 00:29:37,000
ุงู„ู…ูˆุณู… ุงู„ุชุงู†ูŠ ู†ูุณ ุงู„ุดูŠ ู‡ุงู† ุฃุฌู„ ู…ู† ุงู„ู…ูˆุณู… ุงู„ุชุงู†ูŠ ุงูˆ
396
00:29:37,000 --> 00:29:40,740
ุฎู„ูŠู†ุง ู†ุญูƒูŠ ุงู„ู†ู…ุท ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุดุงูŠููŠู† ู‡ุฐุงุŸ
397
00:29:40,740 --> 00:29:47,940
ู†ู…ุท ู‡ูˆ ู†ูุณู‡ ุจูŠูƒุฑุฑ ู†ูุณู‡ ุนุจุฑ ุงู„ุณู†ูˆุงุช ูˆู„ูƒู† ุงู„ู†ู…ุท ูƒู„ู‡
398
00:29:47,940 --> 00:29:55,760
ุจูŠุญุฏุซ ูˆูŠู†ุŸุฌูˆุงุฏ ุงู„ุณู†ุฉ ู†ูุณู‡ุง ุชู…ุงู… ู‡ูŠูƒ ูู‡ูˆ ุนุจุงุฑุฉ ุนู†
399
00:29:55,760 --> 00:30:00,300
short term fluctuation fluctuation ู…ุนู†ุงู‡ุง ุชุฐุจุฐุจ ูŠุง
400
00:30:00,300 --> 00:30:06,140
ุดุจุงุจ ุงู‡ short term ุงูŠุด ูŠุนู†ูŠ short term ุงู‡ ูŠุนู†ูŠ
401
00:30:06,140 --> 00:30:11,820
ุฎู„ูŠู†ุง ู†ู‚ูˆู„ู‡ ู‚ุตูŠุฑ ุชุฐุจุฐุจ ู‚ุตูŠุฑ ุงู‡ ูˆ care ุจูŠุญุฏุซ
402
00:30:11,820 --> 00:30:18,060
periodically in ุฃูŠู‡ ููŠ ุงู„ุณู†ุฉ ุจูŠุญุฏุซ ู…ุงุดูŠ ุงู„ุญุงู„ ูˆุงุถุญ
403
00:30:18,060 --> 00:30:22,890
ุงู‡ ุงุนุชู‚ุฏูˆุงุชูู‚ู†ุง ู…ุด ุดุฑุท ุณู†ุฉ ูŠุนู†ูŠ ู…ู…ูƒู† ูŠูƒูˆู† ุฃุณุจูˆุน ุฃูˆ
404
00:30:22,890 --> 00:30:26,570
ู…ู…ูƒู† ูŠูƒูˆู† ุดู‡ุฑ ุทูŠุจ ุจู†ูุณ ู…ู„ุฃ ุงู„ cyclic variation ุฃูˆ
405
00:30:26,570 --> 00:30:31,130
ุงู„ cyclic variation ู‡ู„ุฃ ู†ูุณ ุงู„ seasonal ูˆู„ูƒู† ู…ุด
406
00:30:31,130 --> 00:30:38,490
within a year ุจุชุตูŠุฑ longer than a year ูู‡ูŠ ุนุจุงุฑุฉ
407
00:30:38,490 --> 00:30:42,870
ุนู† ุจุฑุถู‡ ุฒูŠ ุงู„ู„ูŠ ู‡ูˆ ุงู„ sine cosine wavelets ู‡ุฏูˆุฉ
408
00:30:42,870 --> 00:30:49,740
ูˆู„ูƒู† ุงู„ู„ูŠ ู‡ูˆ ุงู„ period ุจุชุตูŠุฑ ู…ุงู„ู‡ุงูƒู„ ุฃูƒู… ู…ู† ุณู†ุฉุŒ
409
00:30:49,740 --> 00:30:53,600
ูƒู„ ุฃุฑุจุนุŒ ุฒูŠ ู…ุซุงู„ ุงู„ู„ูŠ ู‡ูˆ ุงู„ุญูŠูˆุงู† ุงู„ูŠู†ูƒุณ ุงู„ู„ูŠ ูƒุงู†
410
00:30:53,600 --> 00:30:59,740
ููŠ ุดู…ุงู„ ูƒู†ุฏุงุŒ ูƒู„ ุนุดุฑ ุณู†ูˆุงุชุŒ ุฅุฐุง ุจุชุฐูƒุฑูˆุงุŒ ู†ุญูŠุงุŒ
411
00:30:59,740 --> 00:31:03,740
ุจุนู†ุง ููƒุฑุฉ ู…ู…ูƒู† ูŠูƒูˆู† ู…ุซุงู„ ุชูˆุถูŠุญ ู‡ู†ุงุŒ ุจูŠุญูƒูˆุง ุจุฅู†ู‡
412
00:31:03,740 --> 00:31:10,000
ุงู„ุณุนุฑ ุงู„ุนู…ู„ุฉ ูƒู„ ุนุดุฑ ุณู†ูˆุงุช ุชู‚ุฑูŠุจุง ุจุฑุถู‡ุจูƒุฑุฑ ู†ูุณู‡ ูู„ูˆ
413
00:31:10,000 --> 00:31:14,120
ุงุทู„ุนุชู‡ ุนู„ู‰ ุฃุณุนุงุฑ ุงู„ุนู…ู„ุฉ ู…ุซู„ุง ู…ุซู„ุง ุงู†ุง ุจุนุฑู ุงู†ู‡ ุณุนุฑ
414
00:31:14,120 --> 00:31:17,940
ุงู„ุนู…ุฑ ุงู„ูƒู†ุฏูŠ ุนู„ู‰ ุงู„ุฃู…ุฑูŠูƒูŠ ูƒู„ ุนุดุฑ ุณู†ูˆุงุช ุจูŠุนู…ู„
415
00:31:17,940 --> 00:31:24,020
period ุดูˆ ูŠุนู†ูŠุŸ ูŠุนู†ูŠ ุตุฑุงุญุฉ ุจูŠูƒูˆู† ุชู‚ุฑูŠุจุง ุงู„ุฏูˆู„ุงุฑ
416
00:31:24,020 --> 00:31:28,420
ุงู„ุฃู…ุฑูŠูƒูŠ ูˆ ุงู„ูƒู†ุฏูŠ ู…ู‚ุฑุงุจ ู„ุจุนุถ ุฌุฏ ุจุนุถ ุจุนุฏูŠู† ุงู„ูƒู†ุฏูŠ
417
00:31:28,420 --> 00:31:33,620
ุจู†ุฒู„ ุจู†ุฒู„ ุจูŠุถู„ ุนุดุฑ ุณู†ูˆุงุช ูŠู†ุฒู„ ูˆ ุจุนุฏูŠู† ุจูŠุตูŠุฑ ูŠุฑุชูุน
418
00:31:33,620 --> 00:31:38,610
ู„ุญุฏ ู…ุง ูŠูƒุฑุฑ ู†ูุณู‡ ุจูŠุตูŠุฑ ุฌุฏ ุงู„ุฃู…ุฑูŠูƒูŠ ูˆ ู‡ูƒุฐุงูุชุฒูŠุฏูˆุง
419
00:31:38,610 --> 00:31:43,170
ุฃู†ู‡ ุฃุณุนุงุฑ ุงู„ุนู…ู„ุฉ ู‡ูŠ ูƒู„ ุนุดุฑ .. ุฅุฐุง ููŠูƒูˆุง ุญุฏ ุงู„ู…ุฒุงุฑุน
420
00:31:43,170 --> 00:31:46,370
ูŠู‚ูˆู„ู„ูŠ ุฃู†ุง ุตุญ ูˆู„ุง ุบู„ุท ุจูŠู‚ูˆู„ูˆุง ุงู„ุจู†ุฏูˆุฑุฉ ุฃูˆ ุงู„ .. ุฃูˆ
421
00:31:46,370 --> 00:31:52,870
ูƒู„ ุฃุฑุจุน ุณู†ูˆุงุช ุจุชูƒุฑุฑ ู†ูุณู‡ุง ุงู„ุจู†ุฏูˆุฑุฉ ู„ู…ุง ู† .. ูƒุฌูˆุฏุฉ
422
00:31:52,870 --> 00:31:57,450
ุฃูˆ ุงู„ุฃุฑุถ ุงู„ู„ูŠ ุจุชู†ุฒุฑ ุนู„ูŠู‡ุง ุฃูˆ ุงู„ .. ุงู„ุจุทุงุทุง ู‡ู„ ู‡ุฐุง
423
00:31:57,450 --> 00:32:03,530
ูƒู„ุงู… ุตุญูŠุญุŸ ุงู„ุจุทุงุทุง ุงู‡ ุงู„ุจุทุงุทุง ูƒู„ ุฃุฑุจุน .. ุฃุฑุจุน
424
00:32:03,530 --> 00:32:06,830
ุณู†ูˆุงุช ุจุชูƒูˆู† ูŠุนู†ูŠ ููŠ ุงู„ุฏูˆุฑุฉ ุชุจุนุชู‡ุง ุจุชุชูƒุฑุฑ
425
00:32:11,710 --> 00:32:16,290
ุฃุฎุฑ component ู‡ู†ุง ู…ูˆุฌูˆุฏ ุนู†ุฏู†ุง ุงู„ู„ูŠ ู‡ูˆ ุงู„ random ุฃูˆ
426
00:32:16,290 --> 00:32:20,010
ุงู„ irregular ุบูŠุฑ ู…ู†ุชุธู… ุงู„ู„ูŠ ู„ุง ูŠู…ูƒู† ุฃู† ู†ูˆุตูู‡ ุงุญู†ุง
427
00:32:20,010 --> 00:32:24,550
ุจุณู‡ูˆู„ุฉ ู‡ุฐุง ู„ูƒู† ููŠ ุงู„ุณู„ุงุณู„ ุงู„ุฒู…ู†ูŠุฉ ุชุฎูŠู„ูˆุง ููŠ ู…ุจุงุนุฏ
428
00:32:24,550 --> 00:32:30,550
ู†ุณุชุทูŠุน ุฃู†ู‡ ุงูŠุด ู†ูˆุตูู‡ ูˆ ู†ู„ุงู‚ูŠ ู„ู‡ modelุงู‡ ุงู„ random
429
00:32:30,550 --> 00:32:34,130
ุงู„ .. ุงู‡ ุจุณ ุงู„ุขู† ุงุญู†ุง ุจุนุฏ ู…ุง ู†ุญู„ู„ ุงู„ุณู„ุณู„ุฉ ุงุชูู‚ู†ุง
430
00:32:34,130 --> 00:32:36,910
ุงู„ู‰ ุงู„ุฃุฑุจุนุฉ components ุงู„ู„ู‰ ุจุดูƒู„ ุนุงู… ุฃุฑุจุนุฉ ู…ู…ูƒู†
431
00:32:36,910 --> 00:32:40,110
ูŠูƒูˆู†ูˆุง ู…ุด ุงู„ุฃุฑุจุนุฉ ู…ูˆุฌูˆุฏูŠู† ูŠุนู†ูŠ ูŠุง ุดุจุงุจ ุฏุฑุฌุงุช
432
00:32:40,110 --> 00:32:44,930
ุงู„ุญุฑุงุฑุฉ ุญู‚ูŠู‚ุฉ ุงู„ component ุชุจุนุช ุงู„ season ู…ูˆุฌูˆุฏ ุงู„
433
00:32:44,930 --> 00:32:49,010
component ู„ูŠู‡ุŸุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ุจุงู„ู…ู†ุงุณุจุฉุŒ ู‡ุชู†ูู‡ู…ู‡ุงุŒ
434
00:32:49,010 --> 00:32:52,350
ู†ุชุทู„ุนู‡ุงุŒ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุนุจุฑ ุงู„ุฒู…ู†ุŒ ู…ู† ุงู„ุนุงู… ุงู„ู
435
00:32:52,350 --> 00:32:56,270
ุชู…ุงู†ู…ูŠุฉ ุฅู„ู‰ ุงู„ุขู†ุŒ ุดูˆ ุฑุฃูŠูƒูˆุง ููŠ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉุŸ ู…ุง
436
00:32:56,270 --> 00:33:00,010
ู‡ูŠ ุฏุฑุฌุฉ ุงู„ุญุฑุงุฑุฉ ููŠ ุงู„ุตูŠูุŒ ู…ุด ุฒูŠู‡ุง ุฒูŠ ู…ูŠู†ุŒ ููŠ
437
00:33:00,010 --> 00:33:03,690
ุงู„ุดุชุงุกุŒ ุตุญุŸ ููˆุงุถุญ ุฅู† ุงู„ู…ูˆุณู… ู…ูˆุฌูˆุฏุŒ ุงู„ component
438
00:33:03,690 --> 00:33:07,700
ุชุจุน ุงู„ season ู…ูˆุฌูˆุฏุŒ ูˆู„ุง ุฃู†ุง ุบู„ุทุงู†ุŸ ุทูŠุจุงู†ุชูˆุง
439
00:33:07,700 --> 00:33:11,140
ุจุชู‚ุฑูˆุง ูŠู…ูƒู† ุชุนุฑููˆุง ุงู†ู‡ ูŠู‚ุงู„ ุงู† ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ
440
00:33:11,140 --> 00:33:15,460
ุนุงู…ุงู„ู‡ุง ููŠู‡ warming global global warming ูŠุนู†ูŠ ููŠ
441
00:33:15,460 --> 00:33:19,720
ุชุฒุงูŠุฏ ููŠ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุตุญุŸ ูŠุนู†ูŠ ููŠ ุงู„ trend ู…ูˆุฌูˆุฏ
442
00:33:19,720 --> 00:33:25,720
ุดูƒู„ู‡ ุงู„ trend ุชุฒุงูŠุฏ ุฏูŠ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉ ุตุญุŸ ุทุจ ุงู„
443
00:33:25,720 --> 00:33:29,980
cycle ุนุงุฏุฉ ู‡ุฐูŠ ูŠู…ูƒู† ุชูƒูˆู† ุดูˆูŠุฉ ู…ุด ู…ูˆุฌูˆุฏุฉ ููŠ ุฏุฑุฌุงุช
444
00:33:29,980 --> 00:33:35,460
ุงู„ุญุฑุงุฑุฉ ุงู‡ ูˆุงุถุญุงุช ููƒุฑุชูŠู†ุŸูŠู…ูƒู† ุชูƒูˆู† ู…ุฏู…ูˆุฌุฉ ู†ูˆุนุง ู…ุง
445
00:33:35,460 --> 00:33:39,220
ู…ุน ุงู„ trend ู‡ูŠ ูƒุชุด ุฌุงูŠุฉ ู‡ูŠ ูˆ ุงู„ trend ู…ุน ุจุนุถุŒ
446
00:33:39,220 --> 00:33:43,500
ู…ุฎููŠุฉุŒ ูŠุนู†ูŠ ุฎู„ูŠู†ูŠ ู†ู‚ูˆู„ ุฏุฑุฌุงุช ุงู„ุญุฑุงุฑุฉุŒ ู†ููƒุฑ ููŠู‡ุง
447
00:33:43,500 --> 00:33:47,500
ุนู„ู‰ ุฃู†ู‡ุง ู…ุด ุฃุฑุจุนุฉ componentุŒ ุชู„ุงุชุฉ componentุŒ
448
00:33:47,500 --> 00:33:52,480
ู…ุตุจูˆุทุŸ ู…ู† ู‡ู…ุง ุงู„ trend ูˆ ุงู„ seasonal ูˆ ุงู„
449
00:33:52,480 --> 00:33:57,420
irregularุŒ ุงู„ random ูŠุนู†ูŠุŒ ุฃู‡ุŸ ูˆุงุถุญุฉ ููƒุฑุชู‡ุŸ ูู…ุด
450
00:33:57,420 --> 00:34:00,060
ุฏุงูŠู…ุง ุงู„ุฃุฑุจุนุฉ ุจูŠูƒูˆู†ูˆุงุŒ ูˆู„ูƒู† in general ุงู„ุฃุฑุจุนุฉ
451
00:34:00,060 --> 00:34:04,380
ู…ูˆุฌูˆุฏูŠู†ุŒ ู…ุตู„ุฉุŸ ุทูŠุจุงู„ random ู‡ุฐุง ุนุจุงุฑุฉ ุฃูˆ ุงู„
452
00:34:04,380 --> 00:34:07,880
irregular ู‡ูˆ ุนุจุงุฑุฉ ุนู† ุงู„ follow non regularityุŒ ุดูˆ
453
00:34:07,880 --> 00:34:13,240
ูŠุนู†ูŠุŸ ู…ุง ุจุชุจู‚ู‰ ุนู„ู‰ ู†ู…ุทุŒ ุนุดูˆุงุฆูŠุŒ ุฒูŠ ู…ุง ุฃู†ุชูˆุง ุดูˆูุชูˆุง
454
00:34:13,240 --> 00:34:16,760
ุงู„ุจู†ูŠ ุขุฏู… ุงู„ู„ูŠ ุญูƒูŠุชูƒูˆุง ุนู†ู‡ ุฃุฎุฏ ุฌุงุฆุฒุฉ ู†ูˆุจู„ุŒ ุฑุบู… ุฃู†ู‡
455
00:34:16,760 --> 00:34:21,300
ูƒุงู†ุช ุนุดูˆุงุฆูŠุฉ ุฅู„ุง ุฃู† ุงุณุชุทุงุนูˆุง ุฃู†ู‡ ุฏุงูƒ ุงู„ุดุฎุต ู…ุงู„ู‡ุฅู†ู‡
456
00:34:21,300 --> 00:34:26,520
ูŠุฌุฏ model ุงู„ู„ูŠ ุนู„ู‡ุง ูŠูˆุตูู‡ุง ู„ู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ุงู„ู„ูŠ
457
00:34:26,520 --> 00:34:31,080
ุนู†ุฏู‡ ูˆ ุฎุณุงุฆุฑ
458
00:34:31,080 --> 00:34:36,420
ููŠ ุงู„ุดุฑูƒุงุช ุงู„ู…ุงู„ูŠุฉ ุฃู‚ู„ ุจูƒุซูŠุฑ ู…ู† ู…ุง ู…ู…ูƒู† ุฃู† ุชูƒูˆู†ุŒ
459
00:34:36,420 --> 00:34:39,960
ุชู…ุงู…ุŸ ู„ุฅู†ู‡ ุชู†ุณูˆุด ุฃู‡ู… ุดูŠุก ููŠ ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ู†ูŠุฉ ู‡ูˆ
460
00:34:39,960 --> 00:34:44,400
ุงู„ู„ูŠ ุจุฏุฃู†ุง ููŠ ู…ุญุงุถุฑุชู†ุง ุฅู†ู‡ ุฅูŠู‡ ุนุดุงู† ุชูู‡ู… ุงู„ู…ุงุถูŠ
461
00:34:44,400 --> 00:34:50,850
ุนุดุงู† ุชุชู†ุจุฃ ุงู„ู…ุณุชู‚ุจู„ุŒ ู…ุงุดูŠุŸู‡ุฐุง ู‡ูŠ ู‡ุฏูู†ุง ุทูŠุจ ุงู„ุงู†
462
00:34:50,850 --> 00:34:55,650
ุงุญู†ุง ุจุงู„ู†ุณุจุฉ ู„ .. ุงู„ู„ูŠ ู‡ูŠ ููƒุฑุฉ ุงู„ cyclic ุฑุณู…ุฉ ู„ูˆ
463
00:34:55,650 --> 00:34:59,830
ุญุงุจูŠู†ุง ู†ุดูˆูู‡ุง ุงู„ cyclic ุงู„ู„ูŠ ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ุง ู‡ูŠ ู‡ุฐุง
464
00:34:59,830 --> 00:35:03,170
ุงู„ู…ุซุงู„ ุจูŠูˆุถุญ ุนู„ู‰ ุงู†ู‡ ูƒูŠู ุงู„ cyclic variation ู…ู…ูƒู†
465
00:35:03,170 --> 00:35:05,990
ูŠูƒูˆู† ู‡ุฐุง ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู†ู‡ ุชุทู„ุนูˆุง ุนู„ู‰ ุงู„ mouse
466
00:35:05,990 --> 00:35:12,460
ู„ูˆ ุงู†ุง ูƒุจุฑุช ุดูˆูŠุฉ ู…ุซู„ุง ูŠู…ูƒู† ูŠูƒูˆู† ุฃูุถู„ุฃู‡ ูุงุชุทู„ุน ุงู„
467
00:35:12,460 --> 00:35:16,220
mouse ุงู„ุฏูˆุฑุฉ ู‡ุงุฏู‰ ูƒู„ู‡ุง ุฒู‰ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงู„ู„ู‰ ู‡ู‰
468
00:35:16,220 --> 00:35:21,680
ู‡ู‰ ุงูƒุชู„ุน ูˆ ุจุนุฏูŠู† ูƒุฑุฑ ู†ูุณู‡ ู‡ุงุฏู‰ ุงู„ู…ูˆุฌุฉ ูƒู„ู‡ุง ุงุชูƒุฑุฑ
469
00:35:21,680 --> 00:35:26,870
ุงู„ุฐุงุช ู†ูุณู‡ุง ุงุชุทู„ุนู‡ ู‡ู‰ ู‡ู‰ ูˆุงุถุญุงู†ุŸุฑุจู…ุง ุงู„ุดูŠุก ุงู„ู„ูŠ
470
00:35:26,870 --> 00:35:31,670
ุจุฎุชู„ู ุจุณูŠุทุŸ ุฃู‡ ูุนู…ู„ูŠุง ูƒู„ ุฎู…ุณ ุณู†ุฉ ุฒูŠ ู…ุง ุญูƒู‰ ุฒู…ูŠู„ูƒู…
471
00:35:31,670 --> 00:35:35,470
ุชุชูƒุฑุฑ ู†ูุณู‡ุงุŒ ุตุญุŸ ุทูŠุจ ุงู„ู…ุตุทู„ุญุงุช ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุนู„ู‰
472
00:35:35,470 --> 00:35:39,450
ุงู„ุฑุณู… ุนู„ู‰ ุงู„ุนู„ู… ูŠุนู†ูŠุŒ ู‡ุฐู‡ ุจูŠุงู†ุงุช ู…ุงู„ูŠุฉ ุจุชุญูƒูŠ ุนู†
473
00:35:39,450 --> 00:35:43,210
prosperity ู…ุนู†ุงู‡ุง ุงุฒุฏู‡ุงุฑุŒ ู…ุซู„ุง ุงุฒุฏู‡ุงุฑ ููŠ ุงู„ุฃุณุนุงุฑ
474
00:35:43,210 --> 00:35:47,110
ุฃูˆ ููŠ ุงู„ุฃุฑุจุงุญ ุฃูˆ ุงู„ู„ูŠ ุจุฏูƒ ุฅูŠุงู‡ู‡ู†ุง ููŠ ุนู†ุฏูŠ
475
00:35:47,110 --> 00:35:52,110
depression ูŠุนู†ูŠ ุงู†ูƒู…ุงุด ููŠ ุงู„ุฃุณุนุงุฑุŒ ุงู†ูƒู…ุดุฉ ุงู„ุฃุณุนุงุฑ
476
00:35:52,110 --> 00:35:56,390
ุฃูˆ ููŠ ุงู†ุญุฏุงุฑ ููŠ ุงู„ุฃุณุนุงุฑุŒ recession ููŠ ูƒุณุงุฏุŒ ููŠ
477
00:35:56,390 --> 00:36:01,250
ุนู†ุฏูŠ ูƒุณุงุฏ ู‡ู†ุง recession ูƒุณุงุฏ ูˆู„ูƒู† ุจุดูƒู„ ุนุงู… ุงู„ุฃุณุนุงุฑ
478
00:36:01,250 --> 00:36:04,150
ุนุงู… ู…ุงู„ู‡ุง ุฃูˆ ุงู„ุฃุฑุจุงุญ ูŠุนู†ูŠ ุฅุฐุง ุจุชุญุจ ุชุณู…ูŠู‡ุง ุฃุฑุจุงุญ
479
00:36:04,150 --> 00:36:08,490
ุจุดูƒู„ ุนุงู… ู…ุงู„ู‡ุงุชุฒุงูŠุฏูŠุฉ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุงุญู†ุง
480
00:36:08,490 --> 00:36:11,350
ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุฒูŠ ุงู„ู„ู‡ ุญูŠุงู†ุง ุงู„ู…ุญุงุถุฑุฉ ุงู„ุฌุงูŠุฉ ุงู†
481
00:36:11,350 --> 00:36:16,090
ุดุงุก ุงู„ู„ู‡ ู‡ู†ุจู„ุด ู†ุญูƒูŠ ุนู† ุงู„ models ุงู„ู„ูŠ ู…ูˆุฌูˆุฏุฉ ุงู„ู„ูŠ
482
00:36:16,090 --> 00:36:20,870
ู…ู…ูƒู† ู…ู† ุฎู„ุงู„ู‡ุง ู†ูˆุตู ุงู„ุณู„ุณู„ุฉ ุงู„ุฒู…ุงู†ูŠุฉ ุงู„ู„ูŠ ุงุชูู‚ู†ุง
483
00:36:20,870 --> 00:36:25,910
ู†ุนู…ู„ decomposition ุฃูˆ decompose ู„ู„ series A ูˆ ุงู„ู„ูŠ
484
00:36:25,910 --> 00:36:28,690
ู‡ูŠ ุฒูŠ ู…ุง ุงู†ุชูˆุง ุดุงูŠููŠู† ุนู„ู‰ ุงู„ุณุฑูŠุน ู‡ูŠ ููŠ ุนู†ุฏูŠ three
485
00:36:28,690 --> 00:36:32,290
models ุจุดูƒู„ ุนุงู… ููŠ ุงู„ additive modelููŠ ุงู„
486
00:36:32,290 --> 00:36:35,130
multiplicative model ุนุงุฑููŠู† ุดูˆ additive ุงูƒูŠุฏ ุงู„ู„ูŠ
487
00:36:35,130 --> 00:36:39,490
ู‡ูˆ ุชุฌู…ูŠุนูŠ multiplicative ุถุฑุจูŠ ุงูˆ ุงู„ mixed ูŠุนู†ูŠ ู…ุง
488
00:36:39,490 --> 00:36:45,510
ุจูŠู† ุงู„ุฌุงู…ุน ูˆ ู…ุง ุจูŠู† ุงู„ุฏุฑู… ูุนู†ุฏูŠ ู‡ู†ุง ุงู„ additive
489
00:36:45,510 --> 00:36:48,650
ุงู†ูƒ ุชุฌู…ุน ุงู„ุงุฑุจุน components ุงู„ู„ูŠ ู…ูˆุฌูˆุฏูŠู† ุนุดุงู†
490
00:36:48,650 --> 00:36:53,210
ูŠุนุทูˆู†ูŠ ุงู„ุฑู‚ู… ู…ูŠู†XT ูุน ุงู„ุณุฑูŠุน ู‡ุฐุง ุงู„ุฑู‚ู… ุงู„ู„ู‰ ูƒุงู†
491
00:36:53,210 --> 00:36:57,630
ู‚ุจู„ ุดูˆูŠุฉ ุงุณู…ู‡ ุฎู…ุณุฉ ู„ูˆ ุงู†ุง ุจุชููƒุฑ ููŠู‡ ูู…ุงุดูŠ ู…ู…ูƒู†
492
00:36:57,630 --> 00:37:01,330
ุงู‚ูˆู„ ุงู„ trend ุนุจุงุฑุฉ ุนู† ุชู„ุชุงุด ู„ูƒู† ุงู„ season ูˆุงุถุญ
493
00:37:01,330 --> 00:37:04,830
ุงู†ู‡ ุณุจุนุฉ ูŠุนู†ูŠ ุนุดุฑูŠู† ุงุฐุง ู‡ุฐุง ุจุฏู‰ ูŠูƒูˆู† ุณุงู„ุจ ู…ุซู„ุง
494
00:37:04,830 --> 00:37:08,870
ุชู…ุงู†ุชุงุด ุฌุฏูŠุด ุถู„ ุนุดุงู† ุงู„ season ูŠุนุทูŠู‡ ุฎู…ุณุฉ ูŠุนู†ูŠ ู‡ุฐุง
495
00:37:08,870 --> 00:37:11,590
ููŠู‡ ุชุฒุงูŠุฏ ูˆ ู‡ุฐุง ููŠู‡ ุชุฒุงูŠุฏ ู„ูƒู† ู‡ุฐุง ููŠู‡ ู†ู‚ุตุงู† ูƒุชูŠุฑ
496
00:37:11,590 --> 00:37:15,420
ุงู„ cycle ุจุชุฎุฑุจ ุงู„ูƒุชูŠุฑ ููŠ ุงู„ุฃุตุญุงุจ ุฌุฏูŠุด ุจุฏู‡ ูŠูƒูˆู†ุŸุฒูŠ
497
00:37:15,420 --> 00:37:19,100
ุงู„ุชู„ุงุชุฉ ุนุดุงู† ููŠ ุงู„ุฃุฎูŠุฑ ูŠุนุทูŠู†ูŠ ู…ูŠู†ุŸ ุฎู…ุณุฉ ุฌู…ุนุชู‡ู… ู…ุน
498
00:37:19,100 --> 00:37:23,380
ุจุนุถ ุงุนุทูˆู†ูŠ ุงู„ู„ูŠ ู‡ูˆ ู…ูŠู† ุงู„ุฑู‚ู… ุฎู…ุณุฉ ูˆุทู„ุจู†ุงู‡ู… ุดุจุงุจ
499
00:37:23,380 --> 00:37:26,040
ุงุญู†ุง ู‡ูŠูƒ ุงู„ูŠูˆู… ุจู†ุฎุชู… ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ุงู† ุดุงุก ุงู„ู„ู‡
500
00:37:26,040 --> 00:37:31,860
ุจู†ูƒู…ู„ ุจู‡ุฐุง ุงู„ุตูุญุฉ ู‡ูŠ ุงู„ู„ูŠ ุฃู…ุงู…ูŠู…ุดูŠ ูˆ ุจู†ุจู„ุด ู†ุญูƒูŠ
501
00:37:31,860 --> 00:37:36,720
mathematically ูƒูŠู ุงู† ู‡ูˆ ุงุญู†ุง ู…ู…ูƒู† ุงู† ู‡ูˆ ู†ุฌูŠุจ
502
00:37:36,720 --> 00:37:42,020
mathematically ูŠุนู†ูŠ ุงูˆ ุญุณุงุจุงุช ู†ุจู„ุด ู†ุญูƒูŠ ูƒูŠู ู…ู…ูƒู†
503
00:37:42,020 --> 00:37:45,800
ุงู† ู‡ูˆ ููŠ ุงู„ุขุฎุฑ ู†ุนู…ู„ decompose ูŠุนู†ูŠ ู†ุญู„ู„ ู‡ุงูŠ ุงู„
504
00:37:45,800 --> 00:37:49,760
series ุทูŠุจ ู†ุฑุงูƒู… ุนู„ู‰ ุฎูŠุฑ ุงู„ู…ุญุงุถุฑุฉ ุงู„ู‚ุงุฏู…ุฉ ูˆ ุงู† ุดุงุก
505
00:37:49,760 --> 00:37:53,280
ุงู„ู„ู‡ุจู†ูƒูˆู† ูŠุนู†ูŠ .. ุงู†ุชูˆุง ุญุถุฑูˆ ุงู„ ู…ุญุงุถุฑุงุช ู…ูˆุฌูˆุฏุฉ
506
00:37:53,280 --> 00:37:57,920
online ุดุงูŠููŠู†ู‡ุง ุนู„ู‰ ุงู„ุตูุญู‡ ุชุจุนุชูŠ ู†ุฒู„ูˆู‡ุง ูˆ ุญุถุฑูˆู‡ุง
507
00:37:57,920 --> 00:38:01,380
ู„ุนู„ูŠู‡ ูˆ ุฑุจู†ุง ูŠุณู‡ู„ ุงู† ุดุงุก ุงู„ู„ู‡ุŒ ู…ุงุดูŠุŸ ูŠุนุทูŠูƒูˆุง ุงู„ุนููˆ