dataset / data /run_test_2_001 /annotations /sample_0000010.json
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{
"markdown": "ุงู„ุณูŠุงุณุฉ ุงู„ุฏูˆู„ูŠุฉ ูˆุงู„ุนู„ุงู‚ุงุช ุงู„ุฏุจู„ูˆู…ุงุณูŠุฉ\nุงู„ู…ู„ุฎุต: โ€Œ โ€Œุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูˆูƒุชุจ ุงู„ุญุฌุงุฌ ุฅู„ู‰ ุงู„ูˆู„ูŠุฏ ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ู„ู…ู‘ุง ุจู„ุบู‡ ุฃู†ู‡ ุฎุฑู‚ (3) ููŠู…ุง ุฎู„ู‘ู ู„ู‡ ุนุจุฏ ุงู„ู…ู„ูƒุŒ ูŠู†ูƒุฑ ุฐู„ูƒ ุนู„ูŠู‡ ูˆูŠุนุฑู‘ูู‡ ุฃู†ู‡ ุบูŠุฑ ุตูˆุงุจุŒ ููˆู‚ุน ูู‰ ูƒุชุงุจู‡: ยซู„ุฃุฌู…ุนู†ู‘ ุงู„ู…ุงู„ ุฌู…ุน ู…ู† ูŠุนูŠุด ุฃุจุฏุงุŒ ูˆู„ุฃูุฑู‘ู‚ู†ู‘ู‡ ุชูุฑูŠู‚ ู…ู† ูŠู…ูˆุช ุบุฏุงยป. ูˆูˆู‚ุน ุฅู„ู‰ ุนู…ุฑ ุจู† ุนุจุฏ ุงู„ุนุฒูŠุฒ: ยซู‚ุฏ ุฑุฃุจ ุงู„ู„ู‡ ุจูƒ ุงู„ุฏุงุกุŒ ูˆุฃูˆุฐู… ุจูƒ ุงู„ุณู‘ู‚ุงุก (4)ยป. โ€Œ โ€Œุณู„ูŠู…ุงู† ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ\n\\nabla_{i} J(i) = \\frac{1}{m} X^T ( \\sigma(X i) - Y )\n\n![image](img-0)\n\nุฎุฑูŠุทุฉ ุชูˆุถุญ ุชูˆุฒูŠุน ุงู„ุชู‚ูŠูŠู… ูˆุงู„ู…ุฑุงุฌุนุฉ ุงู„ู†ู‚ุฏูŠุฉ ุงู„ุดุงู…ู„ุฉ\n\n![image](img-1)\n\nุงู„ุดูƒู„ (4): ูŠูˆุถุญ ุชูˆุฒูŠุน ุงู„ู…ู„ุงุญู‚ ูˆุงู„ุฌุฏุงูˆู„ ุงู„ุฅุญุตุงุฆูŠุฉ\n\\iint_{D} j^2 \\leq k^2 \\, dx \\, dy\nู…ุคุดุฑุงุช ุงู„ุฃุฏุงุก ูˆุงู„ู…ุนุงูŠูŠุฑ ุงู„ู…ุนุชู…ุฏุฉ\nูˆูƒุชุจ ู‚ุชูŠุจุฉ ุจู† ู…ุณู„ู… ุฅู„ู‰ ุณู„ูŠู…ุงู† ุจู† ุนุจุฏ ุงู„ู…ู„ูƒ ูŠุชู‡ุฏู‘ุฏู‡ ุจุงู„ุฎู„ุนุŒ ููˆู‚ุน ูู‰ ูƒุชุงุจู‡: ุฒุนู… ุงู„ูุฑุฒุฏู‚ ุฃู† ุณูŠู‚ุชู„ ู…ุฑุจุนุง โ€ฆ ุฃุจุดุฑ ุจุทูˆู„ ุณู„ุงู…ุฉ ูŠุง ู…ุฑุจุน (5) ูˆูˆู‚ู‘ุน ูู‰ ูƒุชุงุจู‡ ุฃูŠุถุง: ยซูˆูŽุงู„ู’ุนุงู‚ูุจูŽุฉู ู„ูู„ู’ู…ูุชู‘ูŽู‚ููŠู†ูŽยป *. ูˆูˆู‚ู‘ุน ุฅู„ู‰ ู‚ุชูŠุจุฉ ุฃูŠุถุง ุฌูˆุงุจ ูˆุนูŠุฏู‡: ยซูˆูŽุฅูู†ู’ ุชูŽุตู’ุจูุฑููˆุง ูˆูŽุชูŽุชู‘ูŽู‚ููˆุง ู„ุง ูŠูŽุถูุฑู‘ููƒูู…ู’ ูƒูŽูŠู’ุฏูู‡ูู…ู’ ุดูŽูŠู’ุฆุงู‹ยป.\n\\vec{F} = m\\vec{a} + \\frac{\\beta}{x^2}\n\n![image](img-2)\n\nุงู„ุดูƒู„ (5): ู‡ูŠูƒู„ ุงู„ุชุญู„ูŠู„ ุงู„ู†ูˆุนูŠ ู„ู„ุจูŠุงู†ุงุช ุงู„ุชู†ุธูŠู…ูŠ\n\n![image](img-3)\n\nู…ุฎุทุท ุจูŠุงู†ูŠ ูŠู…ุซู„ ู†ุณุจ ุงู„ุชุญู„ูŠู„ ุงู„ู†ูˆุนูŠ ู„ู„ุจูŠุงู†ุงุช",
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