dataset / data /machine_1_001 /annotations /sample_0000012.json
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{
"markdown": "ุชุงุฑูŠุฎ ุงู„ุญุถุงุฑุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ููŠ ุงู„ุฃู†ุฏู„ุณ\n\\iint_{D} x^2 + j^2 \\, dx \\, dy + \\frac{\\alpha}{n^2}\n\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y ) + \\frac{z}{t^2}\nุงู„ู…ุณุชุฌุฏุงุช ูˆุงู„ุชุทูˆุฑุงุช ุงู„ุฑุงู‡ู†ุฉ\nุชุฑู‰ ููŠ ุงู„ู…ู†ุงู… ูˆู„ูŠุณ ุจุญุฏูŠุซ ููŠุญุชู…ู„ ุงู„ุตุฏู‚ ูˆุงู„ูƒุฐุจ. ูˆุงู„ุชุฃูˆูŠู„: ุญุฏูŠุซุŒ ููŠุญุชู…ู„ ุงู„ุตุฏู‚ ูˆุงู„ูƒุฐุจุŒ ูˆ ยซุตุฏู‚ยป . ูุนู„ ูŠุชุนุฏู‰ ุฅู„ู‰ ู…ูุนูˆู„ูŠู†. ูˆู…ู† ุฐู„ูƒ ู‚ูˆู„ู‡ ุชุนุงู„ู‰: (ู„ูŽุฃูŽู†ู’ุชูู…ู’ ุฃูŽุดูŽุฏู‘ู ุฑูŽู‡ู’ุจูŽุฉู‹ ูููŠ ุตูุฏููˆุฑูู‡ูู…ู’ ู…ูู†ูŽ ุงู„ู„ู‘ูŽู‡ู) ยซ9ยป ุฃูŠ: ู…ู† ุฑู‡ุจุฉ ุงู„ู„ู‡. ูˆุงู„ู…ุนู†ู‰: ูŠุฑู‡ุจูˆู†ูƒู… ุฃุดุฏ ู…ู…ุง ุชุฑู‡ุจูˆู† ุงู„ู„ู‡.\n\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )\n\\frac{\\partial t}{\\partial j} = \\lim_{h \\to 0} \\frac{\\min(j + h) - \\min(j)}{h}\n## ุจุฑู‡ุงู†\nุงู„ุตุฏูŠู‚\" ุนู† ุฃุจูŠ ุจูƒุฑ ู‚ุงู„: \"ู‚ู„ุช ู„ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู…: ุนู„ู…ู†ูŠ ุฏุนุงุก ุฃุฏุนูˆ ุจู‡ ููŠ ุตู„ุงุชูŠ\" ู‚ุงู„: \"ู‚ู„ ุงู„ู„ู‡ู… ุฅู†ูŠ ุธู„ู…ุช ู†ูุณูŠ ุธู„ู…ุง ูƒุซูŠุฑุง ูˆู„ุง ูŠุบูุฑ ุงู„ุฐู†ูˆุจ ุฅู„ุง ุฃู†ุชุŒ ูุงุบูุฑ ู„ูŠ ู…ุบูุฑุฉ ู…ู† ุนู†ุฏูƒ ูˆุงุฑุญู…ู†ูŠ ุฅู†ูƒ ุฃู†ุช ุงู„ุบููˆุฑ ุงู„ุฑุญูŠู…\". \"ุด ุญู… ุฎ ู… ุช ู† ู‡ู€ ูˆุงุจู† ุฎุฒูŠู…ุฉ ูˆุฃุจูˆ ุนูˆุงู†ุฉ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\iint_{D} y^2 \\approx x^2 \\, dx \\, dy + \\frac{\\theta}{\\mu^2}\n\n![image](img-0)\n\nู…ุฎุทุท ุจูŠุงู†ูŠ ูŠู…ุซู„ ู†ุณุจ ุงู„ู…ุนุทูŠุงุช ูˆุงู„ุญู‚ุงุฆู‚ ุงู„ุฃุณุงุณูŠุฉ\nุงู„ู…ุญุงูˆุฑ ูˆุงู„ุฃุจุนุงุฏ ุงู„ุฑุฆูŠุณูŠุฉ\nุงู„ุชูŠ ุฌุงุกุช ููŠ ู…ู‚ุฏู‘ู…ุฉ ุงู„ุณูˆุฑุฉุŒ ูˆููŠ ุงู„ู…ุฌู…ูˆุนุฉ ุงู„ุฃูˆู„ู‰. ุซู…ู‘ ูŠุฃุชูŠ ุงู„ู…ู‚ุทุน ุงู„ุซุงู†ูŠุŒ ูˆู‡ูˆ ูŠุชุฃู„ู ู…ู† ู…ู‚ุฏู‘ู…ุฉุŒ ูˆู…ุฌู…ูˆุนุชูŠู†ุŒ ูˆุฎุงุชู…ุฉ. ูˆูƒู„ ุฐู„ูƒ ู…ุฑุชุจุท ุจุจุนุถู‡ุŒ ูˆุจู…ู‚ุฏู…ุฉ ุงู„ุณูˆุฑุฉุŒ ูˆู…ู‚ุทุนู‡ุง ุงู„ุฃูˆู„: ุชุจุฏุฃ ู…ู‚ุฏู‘ู…ุฉ ุงู„ู…ู‚ุทุน ุงู„ุซุงู†ูŠ ูุชุฃู…ุฑ ุจุชู„ุงูˆุฉ ุงู„ู‚ุฑุขู†ุŒ ูˆุจุฅู‚ุงู… ุงู„ุตู„ุงุฉุŒ ูˆุจุงู„ุฐูƒุฑุŒ ูˆู‡ุฐู‡ ุงู„ุซู„ุงุซ ู‡ูŠ ุฒุงุฏ ุงู„ุทุฑูŠู‚ ููŠ ุงู„ู…ุญู†ุฉุŒ ุซู…ู‘ ุชุฃุชูŠ ู…ุฌู…ูˆุนุชุงู† ุชุฑุณู…ุงู† ุงู„ุทุฑูŠู‚ ู„ู…ุนุงู„ุฌุฉ ู…ูˆุงู‚ู ูƒุงูุฑุฉุŒ ุซู…ู‘ ุชุฃุชูŠ ุงู„ุฎุงุชู…ุฉุŒ ูุชุจูŠู‘ู† ุธู„ู… ุงู„ูƒุงูุฑูŠู†ุŒ ูˆุชุจูŠู‘ู† ุทุฑูŠู‚ ุงู„ู‡ุฏุงูŠุฉ ู„ู„ุฑุงุบุจูŠู†: ูˆูŽู…ูŽู†ู’ ุฃูŽุธู’ู„ูŽู…ู ู…ูู…ู‘ูŽู†ู ุงูู’ุชูŽุฑู‰ ุนูŽู„ูŽู‰ ุงู„ู„ู‘ูŽู‡ู ูƒูŽุฐูุจุงู‹ ุฃูŽูˆู’ ูƒูŽุฐู‘ูŽุจูŽ ุจูุงู„ู’ุญูŽู‚ู‘ู ู„ูŽู…ู‘ูŽุง ุฌุงุกูŽู‡ู ุฃูŽู„ูŽูŠู’ุณูŽ ูููŠ ุฌูŽู‡ูŽู†ู‘ูŽู…ูŽ ู…ูŽุซู’ูˆู‰ู‹ ู„ูู„ู’ูƒุงููุฑููŠู†ูŽ* ูˆูŽุงู„ู‘ูŽุฐููŠู†ูŽ ุฌุงู‡ูŽุฏููˆุง ูููŠู†ุง ู„ูŽู†ูŽู‡ู’ุฏููŠูŽู†ู‘ูŽู‡ูู…ู’ ุณูุจูู„ูŽู†ุง ูˆูŽุฅูู†ู‘ูŽ ุงู„ู„ู‘ูŽู‡ูŽ ู„ูŽู…ูŽุนูŽ ุงู„ู’ู…ูุญู’ุณูู†ููŠู†ูŽ. ูู„ู†ุจุฏุฃ ุนุฑุถ ุงู„ุณูˆุฑุฉ. โ€Œ โ€Œู…ู‚ุฏู…ุฉ ุงู„ุณูˆุฑุฉ ูˆุชู…ุชุฏ ุญุชู‰ ู†ู‡ุงูŠุฉ ุงู„ุขูŠุฉ (4) ูˆู‡ุฐู‡ ู‡ูŠ ู…ุน ุงู„ุจุณู…ู„ุฉ: ุจุณู… ุงู„ู„ู‡ ุงู„ุฑุญู…ู† ุงู„ุฑุญูŠู…\n\n[tbl-0.html](tbl-0.html)\n\n\\int_{1}^{\\infty} \\tan(t) \\, dt = x^2 + C + \\frac{x}{\\lambda^2}\nู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ",
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"content": "<table><tbody><tr><th>29/ 4 -</th><th>1 โ€Œ โ€Œุงู„ุชูุณูŠุฑ:</th></tr><tr><td>ุงู„ู… ุฃูŽุญูŽุณูุจูŽ ุฃูŠ: ุฃุธู† ุงู„ู†ู‘ูŽุงุณู ุฃูŽู†ู’</td><td>ูŠูุชู’ุฑูŽูƒููˆุง ุฃูŽู†ู’ ูŠูŽู‚ููˆู„ููˆุง</td></tr><tr><td>ุขู…ูŽู†ู‘ูŽุง ูˆูŽู‡ูู…ู’</td><td>ู„ุง ูŠููู’ุชูŽู†ููˆู†ูŽ ุฃูŠ: ูˆู‡ู…</td></tr><tr><td>ู„ุง ูŠู…ุชุญู†ูˆู†</td><td>ุจุดุฏุงุฆุฏ ุงู„ุชูƒู„ูŠูุŒ</td></tr><tr><td>ู…ู† ู…ูุงุฑู‚ุฉ ุงู„ุฃูˆุทุงู†ุŒ</td><td>[ุฃูŠ: ุชุฃูˆูŠู„ ุงู„ุฑุคูŠุง] ู„ุฃู† ยซุงู„ุฑุคูŠุงยป ุฅู†ู…ุง ู‡ูŠ ู…ุฎุงูŠู„</td></tr></tbody></table>",
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"content": "ุงู„ุตุฏูŠู‚\" ุนู† ุฃุจูŠ ุจูƒุฑ ู‚ุงู„: \"ู‚ู„ุช ู„ุฑุณูˆู„ ุงู„ู„ู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู…: ุนู„ู…ู†ูŠ ุฏุนุงุก ุฃุฏุนูˆ ุจู‡ ููŠ ุตู„ุงุชูŠ\" ู‚ุงู„: \"ู‚ู„ ุงู„ู„ู‡ู… ุฅู†ูŠ ุธู„ู…ุช ู†ูุณูŠ ุธู„ู…ุง ูƒุซูŠุฑุง ูˆู„ุง ูŠุบูุฑ ุงู„ุฐู†ูˆุจ ุฅู„ุง ุฃู†ุชุŒ ูุงุบูุฑ ู„ูŠ ู…ุบูุฑุฉ ู…ู† ุนู†ุฏูƒ ูˆุงุฑุญู…ู†ูŠ ุฅู†ูƒ ุฃู†ุช ุงู„ุบููˆุฑ ุงู„ุฑุญูŠู…\". \"ุด ุญู… ุฎ ู… ุช ู† ู‡ู€ ูˆุงุจู† ุฎุฒูŠู…ุฉ ูˆุฃุจูˆ ุนูˆุงู†ุฉ",
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"content": "<table><tbody><tr><th>29/ 4 -</th><th>1 โ€Œ โ€Œุงู„ุชูุณูŠุฑ:</th></tr><tr><td>ุงู„ู… ุฃูŽุญูŽุณูุจูŽ ุฃูŠ: ุฃุธู† ุงู„ู†ู‘ูŽุงุณู ุฃูŽู†ู’</td><td>ูŠูุชู’ุฑูŽูƒููˆุง ุฃูŽู†ู’ ูŠูŽู‚ููˆู„ููˆุง</td></tr><tr><td>ุขู…ูŽู†ู‘ูŽุง ูˆูŽู‡ูู…ู’</td><td>ู„ุง ูŠููู’ุชูŽู†ููˆู†ูŽ ุฃูŠ: ูˆู‡ู…</td></tr><tr><td>ู„ุง ูŠู…ุชุญู†ูˆู†</td><td>ุจุดุฏุงุฆุฏ ุงู„ุชูƒู„ูŠูุŒ</td></tr><tr><td>ู…ู† ู…ูุงุฑู‚ุฉ ุงู„ุฃูˆุทุงู†ุŒ</td><td>[ุฃูŠ: ุชุฃูˆูŠู„ ุงู„ุฑุคูŠุง] ู„ุฃู† ยซุงู„ุฑุคูŠุงยป ุฅู†ู…ุง ู‡ูŠ ู…ุฎุงูŠู„</td></tr></tbody></table>",
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"content": "ู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ",
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