dataset / data /MachineOne_001 /annotations /sample_0000028.json
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{
"markdown": "\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)\n\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )\n## ุจุฑู‡ุงู†\nูˆุณู„ู… ุจู‚ุชุงู„ู‡ู… ุจู‚ูˆู„ู‡: {ู‚ุงุชูู„ููˆุง ุงู„ู‘ูŽุฐููŠู†ูŽ ู„ุง ูŠูุคู’ู…ูู†ููˆู†ูŽ ุจูุงู„ู„ู‡ู ูˆูŽู„ุง ุจูุงู„ู’ูŠูŽูˆู’ู…ู ุงู„ู’ุขุฎูุฑู.}. ุงู„ุขูŠุฉุŒ ุฅู„ู‰ ู‚ูˆู„ู‡: {ูˆูŽู‡ูู…ู’ ุตุงุบูุฑููˆู†ูŽ} (1) ูˆุบูŠุฑ ุฐู„ูƒ ู…ู† ุงู„ุขูŠุงุชุŒ ูู‚ุชู„ูˆุง ุจู†ูŠ ู‚ุฑูŠุธุฉุ› ูˆุฃุฌู„ูˆุง\n\\vec{F} = m\\vec{a}\n## ู†ุธุฑูŠุฉ\nุจู†ูŠ ุงู„ู†ุถูŠุฑ. ูˆู‚ูŠู„: ู…ุนู†ุงู‡: {(ุญูŽุชู‘ู‰ ูŠูŽุฃู’ุชููŠูŽ ุงู„ู„ู‡ู ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู… ุงู„ุณุงุนุฉ ูˆูŠุฌุงุฒูŠู‡ู… ุจุฃุนู…ุงู„ู‡ู…. {ุฅูู†ู‘ูŽ ุงู„ู„ู‡ูŽ ุนูŽู„ู‰ ูƒูู„ู‘ู ุดูŽูŠู’ุกู ู‚ูŽุฏููŠุฑูŒ} (109).\n\\vec{F} = m\\vec{a}",
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"content": "ูˆุณู„ู… ุจู‚ุชุงู„ู‡ู… ุจู‚ูˆู„ู‡: {ู‚ุงุชูู„ููˆุง ุงู„ู‘ูŽุฐููŠู†ูŽ ู„ุง ูŠูุคู’ู…ูู†ููˆู†ูŽ ุจูุงู„ู„ู‡ู ูˆูŽู„ุง ุจูุงู„ู’ูŠูŽูˆู’ู…ู ุงู„ู’ุขุฎูุฑู.}. ุงู„ุขูŠุฉุŒ ุฅู„ู‰ ู‚ูˆู„ู‡: {ูˆูŽู‡ูู…ู’ ุตุงุบูุฑููˆู†ูŽ} (1) ูˆุบูŠุฑ ุฐู„ูƒ ู…ู† ุงู„ุขูŠุงุชุŒ ูู‚ุชู„ูˆุง ุจู†ูŠ ู‚ุฑูŠุธุฉุ› ูˆุฃุฌู„ูˆุง",
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"content": "ุจู†ูŠ ุงู„ู†ุถูŠุฑ. ูˆู‚ูŠู„: ู…ุนู†ุงู‡: {(ุญูŽุชู‘ู‰ ูŠูŽุฃู’ุชููŠูŽ ุงู„ู„ู‡ู ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู… ุงู„ุณุงุนุฉ ูˆูŠุฌุงุฒูŠู‡ู… ุจุฃุนู…ุงู„ู‡ู…. {ุฅูู†ู‘ูŽ ุงู„ู„ู‡ูŽ ุนูŽู„ู‰ ูƒูู„ู‘ู ุดูŽูŠู’ุกู ู‚ูŽุฏููŠุฑูŒ} (109).",
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