ocr_dataset / data /Nihal_001 /annotations /sample_0000024.json
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"markdown": "\\nabla_{\\alpha} J(\\alpha) = \\frac{1}{m} X^T ( \\sigma(X \\alpha) - Y )\n## ุจุฑู‡ุงู†\nุนู„ูŠู‡ุŒ ุญุชู‰ ู„ูˆ ุฃุฎุฐุช ู„ู‚ู…ุฉ ูˆุงุญุฏุฉ ูˆูˆุถุนุชู‡ุง ููŠ ูู… ุฃุฎูŠูƒ ุงู„ู…ุณู„ู… ุขุฌุฑูƒ ุงู„ู„ู‘ูŽู‡ ุนู„ูŠู‡ุงุŒ ุงู„ูƒู„ู…ุฉ ุงู„ุทูŠุจุฉ ุฅู†ู…ุง ู‡ูŠ ุตุฏู‚ุฉุŒ ุฅุฑุดุงุฏูƒ ุฃุฎุงูƒ ุฅู„ู‰ ุงู„ุทุฑูŠู‚ ุงู„ุณูˆูŠ ุตุฏู‚ุฉุŒ ูƒู„ ุนู…ู„ ู…ู† ุฃุนู…ุงู„ ุงู„ุจุฑ ุชุซุงุจ ุนู„ูŠู‡ ูˆุชุคุฌุฑ ุนู„ูŠู‡. * ู‚ุงู„: (ููŽูƒูŽุฑูู‡ูŽ ุฐูŽู„ููƒูŽ ู…ูŽุงู„ููƒูŒ ูˆูŽุงู„ุดู‘ูŽุงููุนููŠู‘ูุŒ ูˆูŽู‚ูŽุงู„ูŽุง: \"ุฅูู†ู’\n\\int_{4}^{\\infty} \\tan(y) \\, dy = \\mu^2 = C + \\frac{\\mu}{y^2}\n\\vec{F} = m\\vec{a} + \\frac{t}{y^2}\n## ุจุฑู‡ุงู†\nูˆูŽู‚ูŽุนูŽ ุฐูŽู„ููƒูŽ ุฌูŽุงุฒูŽุŒ ูˆูŽู„ูŽู…ู’ ูŠูุฌูุฒู’ ุฐูŽู„ููƒูŽ ุฃูŽุจููˆ ุญูŽู†ููŠููŽุฉูŽ). ูˆุฃุญู…ุฏ ููŽุฑู‘ูŽู‚ ุจูŠู† ูƒุฑู‡ ุฐู„ูƒุŒ ูŠุนู†ูŠ ู…ุงู„ูƒ ูˆุงู„ุดุงูุนูŠ ู‚ุงู„ุง ุจูˆุฌู‡ ู…ุน ุงู„ูƒุฑุงู‡ุฉุŒ ูˆู‡ูŠ ุฑูˆุงูŠุฉ ู„ู„ุฅู…ุงู… ุฃุญู…ุฏ (2) ุŒ ู„ูƒู†ู‡ุง ู„ูŠุณุช ุงู„ุฑูˆุงูŠุฉ ุงู„ู…ุนุชู…ุฏุฉุŒ ุฃู…ุง ู…ุฐู‡ุจ ุฃุจูŠ ุญู†ูŠูุฉ (3) ุŒ ูˆุฃุญู…ุฏ (4) ุŒ ูุฅู† ุฐู„ูƒ ู„ุง ูŠู†ุจุบูŠ ู„ุฃูŠู‘ู ู…ุณู„ู….\n\\frac{\\partial \\mu}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\max(\\beta + h) - \\max(\\beta)}{h}\n## ู…ู„ุงุญุธุฉ\nโ€Œ โ€Œ[ุจุฑู‚ุท] ุงู„ุจูŽุฑู’ู‚ูŽุทูŽุฉู: ุฎูŽุทู’ูˆูŒ ู…ุชู‚ุงุฑุจูŒ. ูˆูŠู‚ุงู„: ุจูŽุฑู’ู‚ูŽุทูŽ ุงู„ุฑุฌู„ูุŒ ุฅุฐุง ูˆูŽู„ู‘ูŽู‰ ู…ุชู„ูู‘ุชุงู‹.\n\\frac{\\partial \\alpha}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\log(\\lambda + h) - \\log(\\lambda)}{h}\n\\prod_{k=1}^{n} (1 \\geq x_k) = 0 + \\frac{k}{\\sigma^2}\n## ู…ู„ุงุญุธุฉ\nูุญุฐู. ูˆู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ุฅูู†ู‘ูŽ ุงู„ุณู‘ูŽู…ู’ุนูŽ ูˆูŽุงู„ู’ุจูŽุตูŽุฑูŽ ูˆูŽุงู„ู’ููุคุงุฏูŽ ูƒูู„ู‘ู ุฃููˆู„ุฆููƒูŽ ูƒุงู†ูŽ ุนูŽู†ู’ู‡ู ู…ูŽุณู’ุคูู„ู‹ุง) ยซ5ยป ุฃูŠ: ูƒู„ ุฃูุนุงู„ ุฃูˆู„ุฆูƒุŒ ุฃูŠ: ุฅู† ุฐุง ุงู„ุนู‡ุฏ ูƒุงู† ู…ุณุฆูˆู„ุง ุนู†ู‡ุŒ ุฃูŠ ุนู† ูƒู„ ุงู„ุฃูุนุงู„. ูˆู‚ูŠู„: ุฃูŠ: ูŠูƒูˆู† ุงู„ุฅู†ุณุงู† ู‡ูˆ ุงู„ู…ุณุฆูˆู„ ุนู† ุงู„ุณู…ุน ูˆุงู„ุจุตุฑ ูˆุงู„ูุคุงุฏุŒ ุชุณุฃู„ ุนู† ุงู„ุฅู†ุณุงู† ู„ุชูƒูˆู† ุดู‡ูˆุฏุงู‹ ุนู„ูŠู‡ ูˆู„ู‡ุŒ ุจู…ุง ูุนู„ ู…ู† ุทุงุนุฉ ูˆุงุฑุชูƒุจ ู…ู†\n\\alpha_{n+1} = \\alpha_n - \\alpha \\nabla f(\\alpha_n)\n\\iint_{D} k^2 + \\theta^2 \\, dx \\, dy\n\\frac{\\partial \\mu}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\ln(\\alpha + h) - \\ln(\\alpha)}{h}",
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"content": "ูุญุฐู. ูˆู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ุฅูู†ู‘ูŽ ุงู„ุณู‘ูŽู…ู’ุนูŽ ูˆูŽุงู„ู’ุจูŽุตูŽุฑูŽ ูˆูŽุงู„ู’ููุคุงุฏูŽ ูƒูู„ู‘ู ุฃููˆู„ุฆููƒูŽ ูƒุงู†ูŽ ุนูŽู†ู’ู‡ู ู…ูŽุณู’ุคูู„ู‹ุง) ยซ5ยป ุฃูŠ: ูƒู„ ุฃูุนุงู„ ุฃูˆู„ุฆูƒุŒ ุฃูŠ: ุฅู† ุฐุง ุงู„ุนู‡ุฏ ูƒุงู† ู…ุณุฆูˆู„ุง ุนู†ู‡ุŒ ุฃูŠ ุนู† ูƒู„ ุงู„ุฃูุนุงู„. ูˆู‚ูŠู„: ุฃูŠ: ูŠูƒูˆู† ุงู„ุฅู†ุณุงู† ู‡ูˆ ุงู„ู…ุณุฆูˆู„ ุนู† ุงู„ุณู…ุน ูˆุงู„ุจุตุฑ ูˆุงู„ูุคุงุฏุŒ ุชุณุฃู„ ุนู† ุงู„ุฅู†ุณุงู† ู„ุชูƒูˆู† ุดู‡ูˆุฏุงู‹ ุนู„ูŠู‡ ูˆู„ู‡ุŒ ุจู…ุง ูุนู„ ู…ู† ุทุงุนุฉ ูˆุงุฑุชูƒุจ ู…ู†",
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