dataset / data /machine_3_002 /annotations /sample_0010014.json
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{
"markdown": "ุนู„ู… ุงู„ุชุดุฑูŠุญ ูˆููŠุฒูŠูˆู„ูˆุฌูŠุง ุฌุณู… ุงู„ุฅู†ุณุงู†\n\\mathbb{E}[\\sigma] = \\int x f_\\sigma(x) dx\nุตูˆุฑุฉ ุชูุตูŠู„ูŠุฉ ู„ู…ูƒูˆู†ุงุช ุงู„ุฃุซุฑ ุงู„ุงู‚ุชุตุงุฏูŠ ูˆุงู„ุงุฌุชู…ุงุนูŠ\nุงู„ุชุญุฏูŠุงุช ูˆุงู„ูุฑุต ุงู„ู…ุณุชู‚ุจู„ูŠุฉ\nุงู„ุฅุณู„ุงู… ุฐุงุชู‡ุŒ ูุจูŠู†ู…ุง ูŠุฏุนูŠ (ูƒู„ูŠู…ูˆููŠุฌ) ุฃู†ู‘ ู…ุญู…ุฏุง ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… ูˆุงุญุฏ ู…ู† ุนุฏุฉ ุฃู†ุจูŠุงุก ุธู‡ุฑูˆุง ูˆุจุดู‘ุฑูˆุง ุจุงู„ุชูˆุญูŠุฏุŒ ูˆุฃุฑุงุฏ ุชูˆุญูŠุฏ ุงู„ู‚ุจุงุฆู„.. ูŠุฐู‡ุจ (ุชูˆู„ุณุชูˆู) ุฅู„ู‰ ู†ููŠ ูˆุฌูˆุฏ ุงู„ู†ุจูŠ ุงู„ุนุฑุจูŠ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู…. ูˆูŠุนุฏู‡ ุดุฎุตูŠุฉ ุฃุณุทูˆุฑูŠุฉ. ูˆุจูŠู†ู…ุง ูŠุนุชุฑู ุงู„ุจุนุถ ุจุธู‡ูˆุฑ ุงู„ุฅุณู„ุงู… ูŠุฐู‡ุจ (ูƒู„ูŠู…ูˆููŠุฌ) ุฅู„ู‰ ุฃู† ุฌุฒุข ูƒุจูŠุฑุง ู…ู†ู‡ ุธู‡ุฑ ููŠู…ุง ุจุนุฏ ููŠ ู…ุตู„ุญุฉ ุงู„ุฅู‚ุทุงุนูŠูŠู†ุŒ ูˆู†ุณุจ ุฃุตู„ู‡ ุฅู„ู‰ ูุนุงู„ูŠุงุช ู…ุนุฌุฒุฉ ู„ู…ุญู…ุฏุŒ ูˆุชุฌุงูˆุฒ (ุชูˆู„ุณุชูˆู) ุฅู„ู‰ ุฃู† ุงู„ุฅุณู„ุงู… ู†ุดุฃ ู…ู† ุฃุณุทูˆุฑุฉ ุตู†ุนุช ููŠ ูุชุฑุฉ ุงู„ุฎู„ุงูุฉ ู„ู…ุตู„ุญุฉ ุงู„ุทุจู‚ุฉ ุงู„ุญุงูƒู…ุฉุŒ ูˆู‡ูŠ ุฃุณุทูˆุฑุฉ ู…ุณุชู…ุฏุฉ ู…ู† ุงุนุชู‚ุงุฏุงุช ุณุงุจู‚ุฉ ุชุณู…ู‰ ุงู„ุญู†ูŠููŠุฉยป ยซ1ยป . ุฃู„ุง\n\\frac{\\partial \\beta}{\\partial k} = \\lim_{h \\to 0} \\frac{\\exp(k + h) - \\exp(k)}{h} + \\frac{\\lambda}{j^2}\n\\vec{F} = m\\vec{a}\n\\iint_{D} n^2 \\approx y^2 \\, dx \\, dy + \\frac{j}{\\mu^2}\n\n[tbl-0.html](tbl-0.html)\n\n\\nabla_{\\beta} J(\\beta) = \\frac{1}{m} X^T ( \\sigma(X \\beta) - Y )\n\n[tbl-1.html](tbl-1.html)\n\n\\vec{F} = m\\vec{a}\n\\iint_{D} \\beta^2 = \\sigma^2 \\, dx \\, dy",
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"content": "<table><tbody><tr><th>ุจูุงู„ู’ู‚ูŽู„ูŽู…ู)</th><th>ู‡ูŠ ู…ู† ุงู„ูˆุญูŠ</th><th>ุงู„ุณุงุจู‚ุŒ ูˆูŠูุณุฑ ุงู„ู…ุณู„ู…ูˆู†</th></tr><tr><td>ุงู„ู‚ูˆู„ ุงู„ุณุงุจู‚</td><td>ุจุฃู†ู‡ ูŠุนู†ูŠ (ุนู„ู…</td><td>ุงุณุชุนู…ุงู„ ุงู„ู‚ู„ู…) ุŒ ูˆู„ูŠุณ ู„ู‡ุฐุง ู…ู† ูุงุฆุฏุฉ ุฅุฐุง</td></tr><tr><td>ูƒุงู† ู…ุญู…ุฏ ู„ุง ูŠุนุฑู</td><td>ุงู„ู‚ุฑุงุกุฉ ูˆุงู„ูƒุชุงุจุฉุŒ ูˆูŠุจุฏูˆ (ูˆุฑู‚ุฉ ุจู† ู†ูˆูู„)</td><td>ู…ู† ุจูŠู†</td></tr></tbody></table>",
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"text": " ุงู„ูˆุญูŠ",
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"text": "ุงู„ุณุงุจู‚ุŒ",
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"text": " ูˆูŠูุณุฑ",
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"text": " ุงู„ู…ุณู„ู…ูˆู†",
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"text": "ุงู„ู‚ูˆู„",
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"text": " ุงู„ุณุงุจู‚",
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"text": "ุจุฃู†ู‡",
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"text": " ุงู„ู‚ู„ู…)",
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"text": " ุŒ",
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"text": " ูˆู„ูŠุณ",
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"text": " ู„ู‡ุฐุง",
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"text": " ู…ู†",
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"text": " ูุงุฆุฏุฉ",
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"text": " ุฅุฐุง",
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"text": "ูƒุงู†",
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"text": " ู…ุญู…ุฏ",
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"text": " ู„ุง",
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"text": " ูŠุนุฑู",
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"text": "ุงู„ู‚ุฑุงุกุฉ",
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"text": " ูˆุงู„ูƒุชุงุจุฉุŒ",
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"text": " ูˆูŠุจุฏูˆ",
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"text": " (ูˆุฑู‚ุฉ",
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"text": " ุจู†",
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"text": " ู†ูˆูู„)",
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"text": "ู…ู†",
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"text": " ุจูŠู†",
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"content": "<table><tbody><tr><th>ุฃูŽู†ูู„ู’</th><th>โ€ฆ ุฅูุชู’ุจูŽุงุนูŽ</th><th>ุนูŽูŠู’ู†ู ููŽุงุกูŽู‡ู ุจูู…ูŽุง</th><th>ุดููƒูู„ู’ 7819 -</th></tr><tr><td>ู…ูู†ู’ู‡ูŽุง ููŽู‚ูู„ู’ ูููŠ \"ุณูŽุฌู’ุฏูŽุฉู\" ูˆูŽ\"ุฏูŽุนู’ุฏู\" โ€ฆ</td><td>ูˆูŽ\"ุณูุฏู’ุฑูŽุฉู\" ูˆูŽ\"ุบูุฑู’ููŽุฉู\"</td><td>ูˆูŽ\"ู‡ูู†ู’ุฏู\" 7820 - ูˆูŽ\"ุฌูู…ู’ู„ู\"</td><td>ุงุณู’ู…ู‹ุง: \"ุณูŽุฌูŽุฏูŽุงุชูŒ\"ุŒ \"ุฏูŽุนูŽุฏูŽุงุชู’\"</td></tr><tr><td>โ€ฆ ูˆูŽ\"ุณูุฏูุฑูŽุงุชูŒ\"ุŒ \"ุบูุฑูููŽุงุชูŒ\"ุŒ \"ู‡ูู†ูุฏูŽุงุชู’\" 7821 -</td><td>ูˆูŽ\"ุฌูู…ูู„ูุงุชูŒ\" ู…ูุชู’ุจูุนู‹ุง</td><td>ูููŠ ุงู„ูƒูู„ู‘ู โ€ฆ ุฎูู„ูŽุงููŽ ู…ูŽุง</td><td>ุถูุนู‘ูููŽ ูˆูŽุงู„ู…ูุนู’ุชูŽู„ู‘ู 7822 - ูƒูŽู€\"ุณูŽู„ู‘ูŽุฉู\" ูˆูŽ\"ูƒูู„ู‘ูŽุฉู\" ูˆูŽ\"ุญูู„ู‘ูŽุฉู\"</td></tr><tr><td>โ€ฆ ูˆูŽ\"ุชูŽุงุฑูŽุฉู\"</td><td>ูˆูŽ\"ุฏููŠู…ูŽุฉู\" ูˆูŽ\"ุตููˆุฑูŽุฉู\" 7823 - ูˆูŽุบูŽูŠู’ุฑู</td><td>ู…ูŽุง ุซูู„ู‘ูุซูŽ ูƒูŽู€\"ุงู„ุซู‘ูุจูŽุงุชู\" โ€ฆ</td><td>ูˆูŽูƒูŽู€\"ุณูŽุนูŽุงุฏูŽุงุชู\" ูˆูŽ\"ุฒูŽูŠู’ู†ูŽุจูŽุงุชู\"</td></tr><tr><td>7824 - ูˆูŽุงู„ูˆูŽุตู’ูู ู†ูŽุญู’ูˆู \"ุถูŽุฎู’ู…ูŽุฉู\" ูˆูŽ\"ุนูŽุจู’ู„ูŽู‡\" โ€ฆ</td><td>ูˆูŽ\"ุฎูู„ู’ูˆูŽุฉู\" ูˆูŽู…ูŽุง ูŠูŽูƒููˆู†ู ู…ูุซู’ู„ูŽู‡ู’ 7825</td><td>- ูˆูŽู…ูŽุง ุญูŽูƒูŽู‰ \"ุดูŽุฌูŽุฑูŽุฉู‹\" ูˆูŽ\"ุณูŽู…ูุฑูŽู‡\" โ€ฆ ู…ูุญูŽุฑู‘ูŽูƒูŽ ุงู„ุนูŽูŠู’ู†ู</td><td>ูˆูŽู†ูŽุญู’ูˆู \"ู†ูŽู…ูุฑูŽู‡\" โ€ฆ /148 ุจ/ 7826</td></tr><tr><td>- ูˆูŽู…ูŽุง ุฃูŽุชูŽู‰ ู…ูุฐูŽูƒู‘ูŽุฑู‹ุง ู„ูŽู…ู’ ูŠูุฌู’ู…ูŽุนู โ€ฆ ุจูุฃูŽู„ููู</td><td>ูˆูŽุงู„ุชู‘ูŽุง ููŽุฐููŠ ู„ูŽุง ุชูุชู’ุจูุนู 7827 -</td><td>ูˆูŽู…ูŽุง ุบูŽุฏูŽุง ู…ูŽูู’ุชููˆุญูŽ ููŽุงุกู ุจูŽูŠู‘ูŽู†ูŽุง โ€ฆ ูˆูŽุฌู’ู‡ูŽูŠู’ู†ู</td><td>ุฃูŽูŠู’ุถู‹ุง ูููŠู‡ู ุฅูุฐู’ ู‚ูŽุงู„ูŽ ู‡ูู†ูŽุง</td></tr></tbody></table>",
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"text": "ุฃูŽู†ูู„ู’",
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"text": "ู…ูู†ู’ู‡ูŽุง",
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"text": " ููŽู‚ูู„ู’",
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"text": " ูููŠ",
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"text": " ูˆูŽ\"ุฏูŽุนู’ุฏู\"",
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"text": " โ€ฆ",
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"text": "ูˆูŽ\"ุณูุฏู’ุฑูŽุฉู\"",
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"text": "ูˆูŽ\"ู‡ูู†ู’ุฏู\"",
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"text": " 7820",
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"text": " ูˆูŽ\"ุฌูู…ู’ู„ู\"",
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"text": " \"ุณูŽุฌูŽุฏูŽุงุชูŒ\"ุŒ",
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"text": "โ€ฆ",
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"content": "<table><tbody><tr><th>ุฃูŽู†ูู„ู’</th><th>โ€ฆ ุฅูุชู’ุจูŽุงุนูŽ</th><th>ุนูŽูŠู’ู†ู ููŽุงุกูŽู‡ู ุจูู…ูŽุง</th><th>ุดููƒูู„ู’ 7819 -</th></tr><tr><td>ู…ูู†ู’ู‡ูŽุง ููŽู‚ูู„ู’ ูููŠ \"ุณูŽุฌู’ุฏูŽุฉู\" ูˆูŽ\"ุฏูŽุนู’ุฏู\" โ€ฆ</td><td>ูˆูŽ\"ุณูุฏู’ุฑูŽุฉู\" ูˆูŽ\"ุบูุฑู’ููŽุฉู\"</td><td>ูˆูŽ\"ู‡ูู†ู’ุฏู\" 7820 - ูˆูŽ\"ุฌูู…ู’ู„ู\"</td><td>ุงุณู’ู…ู‹ุง: \"ุณูŽุฌูŽุฏูŽุงุชูŒ\"ุŒ \"ุฏูŽุนูŽุฏูŽุงุชู’\"</td></tr><tr><td>โ€ฆ ูˆูŽ\"ุณูุฏูุฑูŽุงุชูŒ\"ุŒ \"ุบูุฑูููŽุงุชูŒ\"ุŒ \"ู‡ูู†ูุฏูŽุงุชู’\" 7821 -</td><td>ูˆูŽ\"ุฌูู…ูู„ูุงุชูŒ\" ู…ูุชู’ุจูุนู‹ุง</td><td>ูููŠ ุงู„ูƒูู„ู‘ู โ€ฆ ุฎูู„ูŽุงููŽ ู…ูŽุง</td><td>ุถูุนู‘ูููŽ ูˆูŽุงู„ู…ูุนู’ุชูŽู„ู‘ู 7822 - ูƒูŽู€\"ุณูŽู„ู‘ูŽุฉู\" ูˆูŽ\"ูƒูู„ู‘ูŽุฉู\" ูˆูŽ\"ุญูู„ู‘ูŽุฉู\"</td></tr><tr><td>โ€ฆ ูˆูŽ\"ุชูŽุงุฑูŽุฉู\"</td><td>ูˆูŽ\"ุฏููŠู…ูŽุฉู\" ูˆูŽ\"ุตููˆุฑูŽุฉู\" 7823 - ูˆูŽุบูŽูŠู’ุฑู</td><td>ู…ูŽุง ุซูู„ู‘ูุซูŽ ูƒูŽู€\"ุงู„ุซู‘ูุจูŽุงุชู\" โ€ฆ</td><td>ูˆูŽูƒูŽู€\"ุณูŽุนูŽุงุฏูŽุงุชู\" ูˆูŽ\"ุฒูŽูŠู’ู†ูŽุจูŽุงุชู\"</td></tr><tr><td>7824 - ูˆูŽุงู„ูˆูŽุตู’ูู ู†ูŽุญู’ูˆู \"ุถูŽุฎู’ู…ูŽุฉู\" ูˆูŽ\"ุนูŽุจู’ู„ูŽู‡\" โ€ฆ</td><td>ูˆูŽ\"ุฎูู„ู’ูˆูŽุฉู\" ูˆูŽู…ูŽุง ูŠูŽูƒููˆู†ู ู…ูุซู’ู„ูŽู‡ู’ 7825</td><td>- ูˆูŽู…ูŽุง ุญูŽูƒูŽู‰ \"ุดูŽุฌูŽุฑูŽุฉู‹\" ูˆูŽ\"ุณูŽู…ูุฑูŽู‡\" โ€ฆ ู…ูุญูŽุฑู‘ูŽูƒูŽ ุงู„ุนูŽูŠู’ู†ู</td><td>ูˆูŽู†ูŽุญู’ูˆู \"ู†ูŽู…ูุฑูŽู‡\" โ€ฆ /148 ุจ/ 7826</td></tr><tr><td>- ูˆูŽู…ูŽุง ุฃูŽุชูŽู‰ ู…ูุฐูŽูƒู‘ูŽุฑู‹ุง ู„ูŽู…ู’ ูŠูุฌู’ู…ูŽุนู โ€ฆ ุจูุฃูŽู„ููู</td><td>ูˆูŽุงู„ุชู‘ูŽุง ููŽุฐููŠ ู„ูŽุง ุชูุชู’ุจูุนู 7827 -</td><td>ูˆูŽู…ูŽุง ุบูŽุฏูŽุง ู…ูŽูู’ุชููˆุญูŽ ููŽุงุกู ุจูŽูŠู‘ูŽู†ูŽุง โ€ฆ ูˆูŽุฌู’ู‡ูŽูŠู’ู†ู</td><td>ุฃูŽูŠู’ุถู‹ุง ูููŠู‡ู ุฅูุฐู’ ู‚ูŽุงู„ูŽ ู‡ูู†ูŽุง</td></tr></tbody></table>",
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