dataset / data /MachineFour_002 /annotations /sample_0009997.json
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"markdown": "ูู† ุงู„ุญูˆุงุฑ ูˆุงู„ุฅู‚ู†ุงุน ููŠ ุงู„ุฎุทุงุจ ุงู„ู…ุนุงุตุฑ\nุงู„ู…ู„ุฎุต: ูˆุฃู† ู†ุจุงุฏุฑ ุฅู„ู‰ ุทู„ุจ ุงู„ู…ุบูุฑุฉ ู…ู†ู‡ุŒ ูˆุฃู† ู†ุชุณุงุจู‚ ููŠ ูุนู„ ุงู„ุฃูุนุงู„ ุงู„ุญุณู†ุฉ ุงู„ุชูŠ ุชูู‚ุฑุจู†ุง ุฅู„ู‰ ุงู„ู„ู‘ูŽู‡ ุนุฒ ูˆุฌู„ ูˆุชูุฌู†ุจู†ุง ู…ุนุงุตูŠู‡ุŒ ูˆุงู„ู„ู‘ูŽู‡ ุชุนุงู„ู‰ ูŠู‚ูˆู„: {ูˆูŽุณูŽุงุฑูุนููˆุง ุฅูู„ูŽู‰ ู…ูŽุบู’ููุฑูŽุฉู ู…ูู†ู’ ุฑูŽุจู‘ููƒูู…ู’} [ุขู„ ุนู…ุฑุงู†: 133]ุŒ ูˆูŠู‚ูˆู„ ุชุนุงู„ู‰: {ููŽุงุณู’ุชูŽุจูู‚ููˆุง ุงู„ู’ุฎูŽูŠู’ุฑูŽุงุชู} [ุงู„ุจู‚ุฑุฉ: 148]ุŒ ูุฅู† ุฃุฏุงุก ุงู„ูุฑุถ ููŠ ุฃูˆู„ ูˆู‚ุชู‡ ู…ุน ุงู„ู‚ุฏุฑุฉ ุนู„ูŠู‡ ุฅู†ู…ุง ู‡ูˆ ู…ุจุงุฏุฑุฉ ุฅู„ู‰ ูุนู„ ุงู„ุฎูŠุฑุงุช ูˆู…ุณุงุฑุนุฉ ุฅู„ู‰ ุฐู„ูƒุŒ ูˆุงู„ุฃุฏู„ุฉ ุนู„ู‰ ุฐู„ูƒ ูƒุซูŠุฑุฉ ุฌุฏู‘ู‹ุงุŒ ูู„ุง ู†ุฑูŠุฏ ุฃู† ู†ุณุชุฑุณู„ ููŠู‡ุง. ูˆุฃู…ุง ุงู„ุฐูŠู† ู‚ุงู„ูˆุง: ุฅู† ุงู„ุญุฌ ูˆุงุฌุจุŒ ู„ูƒู†ู‡ ูŠุฌุจ ุนู„ู‰ ุงู„ุชุฑุงุฎูŠุ›\nุงู„ู…ู‚ุงุฑุจุงุช ุงู„ู†ุธุฑูŠุฉ ูˆุงู„ู†ู…ุงุฐุฌ ุงู„ุชุญู„ูŠู„ูŠุฉ\nุฃูŠ: ูŠุฌูˆุฒ ู„ู„ุฅู†ุณุงู† ู…ุน ู‚ุฏุฑุชู‡ -ู…ุซู„ู‹ุง- ุฃู† ูŠุคุฏูŠู‡ ููŠ ู‡ุฐุง ุงู„ุนุงู…ุŒ ูˆู„ู‡ ุฃู† ูŠุคุฎุฑู‡ ุฅู„ู‰ ุงู„ุนุงู… ุงู„ู‚ุงุฏู…ุŒ ุฃูˆ ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ุฃูˆ ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ูˆู‡ูƒุฐุง. ูˆูŠุคูŠุฏูˆู† ุฐู„ูƒ ุจุฃู† ุนู…ุฑ ุงู„ุฅู†ุณุงู† ุฅู†ู‘ูŽู…ุง ู‡ูˆ ุจู…ุซุงุจุฉ ุธุฑู ู„ุฐู„ูƒุŒ ูู„ู‡ ุฃู† ูŠุคุฏูŠ ู‡ุฐู‡ ุงู„ูุฑูŠุถุฉ ููŠ ุฃูŠ ุฌุฒุก ูˆููŠ ุฃูŠ ูˆู‚ุช ู…ู† ู‡ุฐุง ุงู„ุธุฑู ุงู„ู…ููˆูŽุณู‘ูŽุนุŒ ูˆูŠู‚ูŠุณูˆู† -ุฃูŠุถู‹ุง- ุฐู„ูƒ ุนู„ู‰ ุงู„ุตู„ุงุฉุŒ ูˆูŠู‚ูˆู„ูˆู†: ุฃู„ูŠุณ\nุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ\nุนู…ุฑ ุงู„ุฅู†ุณุงู† ุฅู†ู‘ูŽู…ุง ู‡ูˆ ุจู…ุซุงุจุฉ ุธุฑู ู„ุฐู„ูƒุŒ ูู„ู‡ ุฃู† ูŠุคุฏูŠ ู‡ุฐู‡ ุงู„ูุฑูŠุถุฉ ููŠ ุฃูŠ ุฌุฒุก ูˆููŠ ุฃูŠ ูˆู‚ุช ู…ู† ู‡ุฐุง ุงู„ุธุฑู ุงู„ู…ููˆูŽุณู‘ูŽุนุŒ ูˆูŠู‚ูŠุณูˆู† -ุฃูŠุถู‹ุง- ุฐู„ูƒ ุนู„ู‰ ุงู„ุตู„ุงุฉุŒ ูˆูŠู‚ูˆู„ูˆู†: ุฃู„ูŠุณ ู„ู„ุตู„ุงุฉ ูˆู‚ุชุŒ ูˆูˆู‚ุชู‡ุง ู„ู‡ ุฃูˆู„ ูˆุขุฎุฑุŒ ูƒู…ุง ุจูŽูŠู‘ูŽู† ุฐู„ูƒ ุฌุจุฑูŠู„ ุนู†ุฏู…ุง ุตูŽู„ู‘ูŽู‰ ุจุฑุณูˆู„ ุงู„ู„ู‘ูŽู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… (2) ุŒ\n\n[tbl-0.html](tbl-0.html)\n\nุงู„ู…ู†ุธูˆุฑ ุงู„ู…ู‚ุงุฑู† ูˆุฃูุถู„ ุงู„ู…ู…ุงุฑุณุงุช\nุงู„ุงุดุชุฑุงูƒ ููŠ ุงู„ุฑุจุญุŒ ูุฅุฐุง ุดุฑุท ุงู„ุฑุจุญ ู„ุฃุญุฏู‡ู…ุง ูู‚ุฏ ุดุฑุท ู…ุง ูŠู†ุงููŠ ู…ู‚ุชุถุงู‡ุŒ ูุจุทู„. ูˆุฅู† ุฏูุน ุฅู„ูŠู‡ ุฃู„ูู‹ุงุŒ ูˆู‚ุงู„: ุชุตุฑู ููŠู‡ุŒ ูˆุงู„ุฑุจุญ ูƒู„ู‡ ู„ูƒุŒ ูู‡ูˆ ู‚ุฑุถุŒ ู„ุง ุญู‚ ู„ุฑุจ ุงู„ู…ุงู„ ููŠ ุฑุจุญู‡ุ› ู„ุฃู† ุงู„ู„ูุธ ู…ุดุชุฑูƒ ุจูŠู† ุงู„ู‚ุฑุงุถ ูˆุงู„ู‚ุฑุถุŒ ูˆู‚ุฏ ู‚ุฑู† ุจู‡ ุญูƒู… ุงู„ู‚ุฑุถุŒ ูุงู†ุนู‚ุฏ ุงู„ู‚ุฑุถ ุจู‡ุŒ ูƒู„ูุธ ุงู„ุชู…ู„ูŠูƒ ู„ู…ุง ูƒุงู† ู…ุดุชุฑูƒู‹ุง ุจูŠู† ุงู„ุจูŠุน ูˆุงู„ู‡ุจุฉ ุฅุฐุง ู‚ุฑู† ุจู‡ ุงู„ุซู…ู† ูƒุงู† ุจูŠุนู‹ุงยป (2)\nz_{n+1} = z_n - \\alpha \\nabla f(z_n) + \\frac{\\sigma}{n^2}\n\n[tbl-1.html](tbl-1.html)\n\n\\mathbb{E}[k] = \\int x f_k(x) dx\nู…ุฎุทุท ุจูŠุงู†ูŠ ูŠู…ุซู„ ู†ุณุจ ุงู„ุชุญุฏูŠุงุช ูˆุงู„ูุฑุต ุงู„ู…ุณุชู‚ุจู„ูŠุฉ\n\\frac{\\partial n}{\\partial x} = \\lim_{h \\to 0} \\frac{\\exp(x + h) - \\exp(x)}{h} + \\frac{i}{j^2}\n\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )\n\\nabla_{z} J(z) = \\frac{1}{m} X^T ( \\sigma(X z) - Y )\n\n![image](img-0)\n\nุงู„ุดูƒู„ (2): ูŠูˆุถุญ ุชูˆุฒูŠุน ู…ุคุดุฑุงุช ุงู„ุฃุฏุงุก ูˆุงู„ู…ุนุงูŠูŠุฑ ุงู„ู…ุนุชู…ุฏุฉ",
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"content": "<table><tbody><tr><th>ุนู‚ุฏ</th><th>ุขุฎุฑุŒ</th><th>ูˆุจูŠู† ุงู„ุดุงูุนูŠุฉ ูˆุงู„ุญู†ุงุจู„ุฉ</th></tr><tr><td>ุงู„ุฐูŠู† ุฃูุณุฏูˆุง ุงู„ุนู‚ุฏุŒ</td><td>ูู‡ู… ุงุนุชุจุฑูˆุง ุงู„ู„ูุธ</td><td>ูู„ู… ูŠุฎุฑุฌูˆู‡ ุนู† ุงู„ู‚ุฑุงุถุŒ ูˆุตุญุญูˆุง ุงู„ุนู‚ุฏุŒ ูˆุฌุนู„ูˆู‡</td></tr><tr><td>ู…ู† ู‚ุจูŠู„ ุงู„ุชุจุฑุน ุจู†ุตูŠุจู‡ุŒ</td><td>ูˆุงู„ู„ู‡ ุฃุนู„ู…. * * *</td><td>ุจุทู„ ุงู„ู‚ุฑุงุถุ› ู„ุฃู† ู…ูˆุถูˆุนู‡ ุนู„ู‰</td></tr></tbody></table>",
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"text": "ุนู‚ุฏ",
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"text": "ุขุฎุฑุŒ",
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"text": "ูˆุจูŠู†",
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"text": " ุงู„ุดุงูุนูŠุฉ",
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"text": " ูˆุงู„ุญู†ุงุจู„ุฉ",
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"text": "ุงู„ุฐูŠู†",
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"text": " ุฃูุณุฏูˆุง",
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"text": " ุงู„ุนู‚ุฏุŒ",
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"text": "ูู‡ู…",
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"text": " ุงุนุชุจุฑูˆุง",
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"text": " ุงู„ู„ูุธ",
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"text": "ูู„ู…",
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"text": " ูŠุฎุฑุฌูˆู‡",
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"text": " ุนู†",
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"text": " ุงู„ู‚ุฑุงุถุŒ",
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"text": " ูˆุตุญุญูˆุง",
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"text": " ุงู„ุนู‚ุฏุŒ",
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"text": " ูˆุฌุนู„ูˆู‡",
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"text": "ู…ู†",
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{
"text": " ู‚ุจูŠู„",
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"text": " ุงู„ุชุจุฑุน",
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"text": " ุจู†ุตูŠุจู‡ุŒ",
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"text": "ูˆุงู„ู„ู‡",
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"text": " ุฃุนู„ู….",
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"text": " *",
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"text": " *",
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{
"text": " *",
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{
"text": "ุจุทู„",
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"text": " ุงู„ู‚ุฑุงุถุ›",
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"text": " ู„ุฃู†",
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{
"text": " ู…ูˆุถูˆุนู‡",
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{
"text": " ุนู„ู‰",
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"content": "<table><tbody><tr><th>ุนู„ู‰ ุฐู„ูƒ ูƒุซูŠุฑุฉ</th><th>ุฌุฏู‘ู‹ุงุŒ ูู„ุง</th></tr><tr><td>ู†ุฑูŠุฏ ุฃู† ู†ุณุชุฑุณู„</td><td>ููŠู‡ุง. ูˆุฃู…ุง</td></tr><tr><td>ุงู„ุฐูŠู† ู‚ุงู„ูˆุง:</td><td>ุฅู† ุงู„ุญุฌ ูˆุงุฌุจุŒ</td></tr><tr><td>ู„ูƒู†ู‡ ูŠุฌุจ ุนู„ู‰ ุงู„ุชุฑุงุฎูŠุ› ุฃูŠ: ูŠุฌูˆุฒ ู„ู„ุฅู†ุณุงู† ู…ุน</td><td>ู‚ุฏุฑุชู‡ -ู…ุซู„ู‹ุง- ุฃู† ูŠุคุฏูŠู‡ ููŠ ู‡ุฐุง</td></tr><tr><td>ุงู„ุนุงู…ุŒ ูˆู„ู‡ ุฃู†</td><td>ูŠุคุฎุฑู‡ ุฅู„ู‰ ุงู„ุนุงู… ุงู„ู‚ุงุฏู…ุŒ ุฃูˆ</td></tr><tr><td>ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ุฃูˆ</td><td>ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ูˆู‡ูƒุฐุง. ูˆูŠุคูŠุฏูˆู† ุฐู„ูƒ ุจุฃู†</td></tr></tbody></table>",
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"confidence": 1.0,
"start_index": 1851
},
{
"text": "![image](img-0)",
"confidence": 1.0,
"start_index": 1854
},
{
"text": "ุงู„ุดูƒู„",
"confidence": 1.0,
"start_index": 1871
},
{
"text": "(2):",
"confidence": 1.0,
"start_index": 1877
},
{
"text": "ูŠูˆุถุญ",
"confidence": 1.0,
"start_index": 1882
},
{
"text": "ุชูˆุฒูŠุน",
"confidence": 1.0,
"start_index": 1887
},
{
"text": "ู…ุคุดุฑุงุช",
"confidence": 1.0,
"start_index": 1893
},
{
"text": "ุงู„ุฃุฏุงุก",
"confidence": 1.0,
"start_index": 1900
},
{
"text": "ูˆุงู„ู…ุนุงูŠูŠุฑ",
"confidence": 1.0,
"start_index": 1907
},
{
"text": "ุงู„ู…ุนุชู…ุฏุฉ",
"confidence": 1.0,
"start_index": 1917
}
],
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"content": "ูู† ุงู„ุญูˆุงุฑ ูˆุงู„ุฅู‚ู†ุงุน ููŠ ุงู„ุฎุทุงุจ ุงู„ู…ุนุงุตุฑ",
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"content": "ุงู„ู…ู„ุฎุต: ูˆุฃู† ู†ุจุงุฏุฑ ุฅู„ู‰ ุทู„ุจ ุงู„ู…ุบูุฑุฉ ู…ู†ู‡ุŒ ูˆุฃู† ู†ุชุณุงุจู‚ ููŠ ูุนู„ ุงู„ุฃูุนุงู„ ุงู„ุญุณู†ุฉ ุงู„ุชูŠ ุชูู‚ุฑุจู†ุง ุฅู„ู‰ ุงู„ู„ู‘ูŽู‡ ุนุฒ ูˆุฌู„ ูˆุชูุฌู†ุจู†ุง ู…ุนุงุตูŠู‡ุŒ ูˆุงู„ู„ู‘ูŽู‡ ุชุนุงู„ู‰ ูŠู‚ูˆู„: {ูˆูŽุณูŽุงุฑูุนููˆุง ุฅูู„ูŽู‰ ู…ูŽุบู’ููุฑูŽุฉู ู…ูู†ู’ ุฑูŽุจู‘ููƒูู…ู’} [ุขู„ ุนู…ุฑุงู†: 133]ุŒ ูˆูŠู‚ูˆู„ ุชุนุงู„ู‰: {ููŽุงุณู’ุชูŽุจูู‚ููˆุง ุงู„ู’ุฎูŽูŠู’ุฑูŽุงุชู} [ุงู„ุจู‚ุฑุฉ: 148]ุŒ ูุฅู† ุฃุฏุงุก ุงู„ูุฑุถ ููŠ ุฃูˆู„ ูˆู‚ุชู‡ ู…ุน ุงู„ู‚ุฏุฑุฉ ุนู„ูŠู‡ ุฅู†ู…ุง ู‡ูˆ ู…ุจุงุฏุฑุฉ ุฅู„ู‰ ูุนู„ ุงู„ุฎูŠุฑุงุช ูˆู…ุณุงุฑุนุฉ ุฅู„ู‰ ุฐู„ูƒุŒ ูˆุงู„ุฃุฏู„ุฉ ุนู„ู‰ ุฐู„ูƒ ูƒุซูŠุฑุฉ ุฌุฏู‘ู‹ุงุŒ ูู„ุง ู†ุฑูŠุฏ ุฃู† ู†ุณุชุฑุณู„ ููŠู‡ุง. ูˆุฃู…ุง ุงู„ุฐูŠู† ู‚ุงู„ูˆุง: ุฅู† ุงู„ุญุฌ ูˆุงุฌุจุŒ ู„ูƒู†ู‡ ูŠุฌุจ ุนู„ู‰ ุงู„ุชุฑุงุฎูŠุ›",
"type": "text",
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"content": "ุงู„ู…ู‚ุงุฑุจุงุช ุงู„ู†ุธุฑูŠุฉ ูˆุงู„ู†ู…ุงุฐุฌ ุงู„ุชุญู„ูŠู„ูŠุฉ",
"type": "text",
"confidence_scores": null,
"reading_index": 3
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{
"top_left_x": 410,
"top_left_y": 284,
"bottom_right_x": 763,
"bottom_right_y": 360,
"content": "ุฃูŠ: ูŠุฌูˆุฒ ู„ู„ุฅู†ุณุงู† ู…ุน ู‚ุฏุฑุชู‡ -ู…ุซู„ู‹ุง- ุฃู† ูŠุคุฏูŠู‡ ููŠ ู‡ุฐุง ุงู„ุนุงู…ุŒ ูˆู„ู‡ ุฃู† ูŠุคุฎุฑู‡ ุฅู„ู‰ ุงู„ุนุงู… ุงู„ู‚ุงุฏู…ุŒ ุฃูˆ ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ุฃูˆ ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ูˆู‡ูƒุฐุง. ูˆูŠุคูŠุฏูˆู† ุฐู„ูƒ ุจุฃู† ุนู…ุฑ ุงู„ุฅู†ุณุงู† ุฅู†ู‘ูŽู…ุง ู‡ูˆ ุจู…ุซุงุจุฉ ุธุฑู ู„ุฐู„ูƒุŒ ูู„ู‡ ุฃู† ูŠุคุฏูŠ ู‡ุฐู‡ ุงู„ูุฑูŠุถุฉ ููŠ ุฃูŠ ุฌุฒุก ูˆููŠ ุฃูŠ ูˆู‚ุช ู…ู† ู‡ุฐุง ุงู„ุธุฑู ุงู„ู…ููˆูŽุณู‘ูŽุนุŒ ูˆูŠู‚ูŠุณูˆู† -ุฃูŠุถู‹ุง- ุฐู„ูƒ ุนู„ู‰ ุงู„ุตู„ุงุฉุŒ ูˆูŠู‚ูˆู„ูˆู†: ุฃู„ูŠุณ",
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"content": "ุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ",
"type": "text",
"confidence_scores": null,
"reading_index": 5
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{
"top_left_x": 410,
"top_left_y": 415,
"bottom_right_x": 763,
"bottom_right_y": 490,
"content": "ุนู…ุฑ ุงู„ุฅู†ุณุงู† ุฅู†ู‘ูŽู…ุง ู‡ูˆ ุจู…ุซุงุจุฉ ุธุฑู ู„ุฐู„ูƒุŒ ูู„ู‡ ุฃู† ูŠุคุฏูŠ ู‡ุฐู‡ ุงู„ูุฑูŠุถุฉ ููŠ ุฃูŠ ุฌุฒุก ูˆููŠ ุฃูŠ ูˆู‚ุช ู…ู† ู‡ุฐุง ุงู„ุธุฑู ุงู„ู…ููˆูŽุณู‘ูŽุนุŒ ูˆูŠู‚ูŠุณูˆู† -ุฃูŠุถู‹ุง- ุฐู„ูƒ ุนู„ู‰ ุงู„ุตู„ุงุฉุŒ ูˆูŠู‚ูˆู„ูˆู†: ุฃู„ูŠุณ ู„ู„ุตู„ุงุฉ ูˆู‚ุชุŒ ูˆูˆู‚ุชู‡ุง ู„ู‡ ุฃูˆู„ ูˆุขุฎุฑุŒ ูƒู…ุง ุจูŽูŠู‘ูŽู† ุฐู„ูƒ ุฌุจุฑูŠู„ ุนู†ุฏู…ุง ุตูŽู„ู‘ูŽู‰ ุจุฑุณูˆู„ ุงู„ู„ู‘ูŽู‡ ุตู„ู‰ ุงู„ู„ู‡ ุนู„ูŠู‡ ูˆุณู„ู… (2) ุŒ",
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"content": "<table><tbody><tr><th>ุนู‚ุฏ</th><th>ุขุฎุฑุŒ</th><th>ูˆุจูŠู† ุงู„ุดุงูุนูŠุฉ ูˆุงู„ุญู†ุงุจู„ุฉ</th></tr><tr><td>ุงู„ุฐูŠู† ุฃูุณุฏูˆุง ุงู„ุนู‚ุฏุŒ</td><td>ูู‡ู… ุงุนุชุจุฑูˆุง ุงู„ู„ูุธ</td><td>ูู„ู… ูŠุฎุฑุฌูˆู‡ ุนู† ุงู„ู‚ุฑุงุถุŒ ูˆุตุญุญูˆุง ุงู„ุนู‚ุฏุŒ ูˆุฌุนู„ูˆู‡</td></tr><tr><td>ู…ู† ู‚ุจูŠู„ ุงู„ุชุจุฑุน ุจู†ุตูŠุจู‡ุŒ</td><td>ูˆุงู„ู„ู‡ ุฃุนู„ู…. * * *</td><td>ุจุทู„ ุงู„ู‚ุฑุงุถุ› ู„ุฃู† ู…ูˆุถูˆุนู‡ ุนู„ู‰</td></tr></tbody></table>",
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"bottom_right_y": 767,
"content": "ุงู„ู…ู†ุธูˆุฑ ุงู„ู…ู‚ุงุฑู† ูˆุฃูุถู„ ุงู„ู…ู…ุงุฑุณุงุช",
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"top_left_x": 410,
"top_left_y": 775,
"bottom_right_x": 763,
"bottom_right_y": 851,
"content": "ุงู„ุงุดุชุฑุงูƒ ููŠ ุงู„ุฑุจุญุŒ ูุฅุฐุง ุดุฑุท ุงู„ุฑุจุญ ู„ุฃุญุฏู‡ู…ุง ูู‚ุฏ ุดุฑุท ู…ุง ูŠู†ุงููŠ ู…ู‚ุชุถุงู‡ุŒ ูุจุทู„. ูˆุฅู† ุฏูุน ุฅู„ูŠู‡ ุฃู„ูู‹ุงุŒ ูˆู‚ุงู„: ุชุตุฑู ููŠู‡ุŒ ูˆุงู„ุฑุจุญ ูƒู„ู‡ ู„ูƒุŒ ูู‡ูˆ ู‚ุฑุถุŒ ู„ุง ุญู‚ ู„ุฑุจ ุงู„ู…ุงู„ ููŠ ุฑุจุญู‡ุ› ู„ุฃู† ุงู„ู„ูุธ ู…ุดุชุฑูƒ ุจูŠู† ุงู„ู‚ุฑุงุถ ูˆุงู„ู‚ุฑุถุŒ ูˆู‚ุฏ ู‚ุฑู† ุจู‡ ุญูƒู… ุงู„ู‚ุฑุถุŒ ูุงู†ุนู‚ุฏ ุงู„ู‚ุฑุถ ุจู‡ุŒ ูƒู„ูุธ ุงู„ุชู…ู„ูŠูƒ ู„ู…ุง ูƒุงู† ู…ุดุชุฑูƒู‹ุง ุจูŠู† ุงู„ุจูŠุน ูˆุงู„ู‡ุจุฉ ุฅุฐุง ู‚ุฑู† ุจู‡ ุงู„ุซู…ู† ูƒุงู† ุจูŠุนู‹ุงยป (2)",
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"content": "z_{n+1} = z_n - \\alpha \\nabla f(z_n) + \\frac{\\sigma}{n^2}",
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"content": "<table><tbody><tr><th>ุนู„ู‰ ุฐู„ูƒ ูƒุซูŠุฑุฉ</th><th>ุฌุฏู‘ู‹ุงุŒ ูู„ุง</th></tr><tr><td>ู†ุฑูŠุฏ ุฃู† ู†ุณุชุฑุณู„</td><td>ููŠู‡ุง. ูˆุฃู…ุง</td></tr><tr><td>ุงู„ุฐูŠู† ู‚ุงู„ูˆุง:</td><td>ุฅู† ุงู„ุญุฌ ูˆุงุฌุจุŒ</td></tr><tr><td>ู„ูƒู†ู‡ ูŠุฌุจ ุนู„ู‰ ุงู„ุชุฑุงุฎูŠุ› ุฃูŠ: ูŠุฌูˆุฒ ู„ู„ุฅู†ุณุงู† ู…ุน</td><td>ู‚ุฏุฑุชู‡ -ู…ุซู„ู‹ุง- ุฃู† ูŠุคุฏูŠู‡ ููŠ ู‡ุฐุง</td></tr><tr><td>ุงู„ุนุงู…ุŒ ูˆู„ู‡ ุฃู†</td><td>ูŠุคุฎุฑู‡ ุฅู„ู‰ ุงู„ุนุงู… ุงู„ู‚ุงุฏู…ุŒ ุฃูˆ</td></tr><tr><td>ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ุฃูˆ</td><td>ุงู„ุฐูŠ ูŠู„ูŠู‡ุŒ ูˆู‡ูƒุฐุง. ูˆูŠุคูŠุฏูˆู† ุฐู„ูƒ ุจุฃู†</td></tr></tbody></table>",
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"content": "\\mathbb{E}[k] = \\int x f_k(x) dx",
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"content": "ู…ุฎุทุท ุจูŠุงู†ูŠ ูŠู…ุซู„ ู†ุณุจ ุงู„ุชุญุฏูŠุงุช ูˆุงู„ูุฑุต ุงู„ู…ุณุชู‚ุจู„ูŠุฉ",
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"content": "\\frac{\\partial n}{\\partial x} = \\lim_{h \\to 0} \\frac{\\exp(x + h) - \\exp(x)}{h} + \\frac{i}{j^2}",
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"content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )",
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"content": "\\nabla_{z} J(z) = \\frac{1}{m} X^T ( \\sigma(X z) - Y )",
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