ocr_dataset / data /MachineOne_001 /annotations /sample_0000041.json
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"markdown": "ุชุงุฑูŠุฎ ุงู„ุญุถุงุฑุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ููŠ ุงู„ุฃู†ุฏู„ุณ\nุงู„ู…ู„ุฎุต: ูˆู„ุนู„ู‡ุง ู†ู‚ู„ุช ุฅู„ู‰ ุฎุฒุงู†ุฉ ุงู„ุฑุจุงุท. ูˆู‡ูˆ ูƒุดูƒูˆู„ุŒ ู†ุณุฎ ููŠู‡ ู…ุง ุงุณุชุญุณู†ู‡ ููŠ ุงู„ูƒุชุจุŒ ู…ู† ุบูŠุฑ ุชุจูˆูŠุจ ูˆู„ุง ุชุฑุชูŠุจุŒ ูˆ (ุชุญูุฉ ุงู„ุธุฑูุงุก ููŠ ุฌู…ูŠุน ู…ุง ู„ู„ูƒู„ุงุนูŠู‘ ู…ู† ุงู„ุฑุณุงุฆู„ ุงู„ู†ุจูˆูŠู‘ุฉ ูˆุงู„ุตุญุงุจุฉ ูˆุงู„ุฎู„ูุงุก) ูุฑุบ ู…ู†ู‡ ููŠ ุฃูˆุงุฎุฑ ุณู†ุฉ 1164 ูˆุฃู‡ุฏู‰ ุฃูˆู„ ู†ุณุฎุฉ ุฅู„ู‰ ุงู„ุณู„ุทุงู† ู…ุญู…ุฏ ุจู† ุนุจุฏ ุงู„ู„ู‡ุŒ ูˆ (ู‚ุทุฑ ุงู„ู†ุฏุง ููŠ ุงู„ุชุนุฑูŠู ุจ ุฃุจูŠ ุงู„ุฏุฑุฏุง) ูˆ (ูƒุดู ุงู„ุฃุณู‰ ุจู…ุญุงุณู† ุงู„ุตุงู„ุญุงุช ู…ู† ุงู„ู†ุณุงุŒ ูˆุจุนุถ ุงู„ุชุนุฑูŠูุงุช ุจุงู„ุฃุนู„ุงู… ูˆุงู„ุฑุคุณุง - ุฎ) ู…ู†ู‡ ู†ุณุฎุฉ ููŠ\nุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ\nุฎุฒุงู†ุฉ ุงู„ู‚ุฑูˆูŠูŠู† (ุงู„ุฑู‚ู… 596) ุฃู„ูู‡ ููŠ ุงู„ู…ุฌุงุนุฉ\n\n[tbl-0.html](tbl-0.html)\n\nุงู„ู…ุนุทูŠุงุช ูˆุงู„ุญู‚ุงุฆู‚ ุงู„ุฃุณุงุณูŠุฉ\nูˆู„ูŠุณ ู„ุฃุญุฏ ุฃู† ูŠุนุชุฑุถ ุนู„ู‰ ู‡ุฐุง ุจู‚ูˆู„ู‡ ููŠ ู„ูŠู„ุฉ ุงู„ุตู‘ูŠุงู…: {ุฃูŽูŠู‘ุงู…ุงู‹ ู…ูŽุนู’ุฏููˆุฏุงุชู} ุฃุฑุงุฏ ุจู‡ุง ุงู„ุดู‡ุฑ ูƒู„ู‘ู‡ุ› ู„ุฃู†ู‡ ุธุงู‡ุฑ ู„ูุธ ุงู„ุฃูŠู‘ุงู… ู…ู† ุงู„ุซู„ุงุซุฉ ุฅู„ู‰ ุงู„ุนุดุฑุฉ. ุฅู„ุงู‘ ุฃู†ู‡ ู‚ุฏ ูŠุฐูƒุฑ ูˆูŠุฑุงุฏ ุจู‡ ุงู„ุฒูŠุงุฏุฉุŒ ูˆู‚ุฏ ูุณู‘ุฑ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุฃูŠุงู… ุงู„ุตูˆู… ุจุงู„ุดู‘ู‡ุฑุŒ ูุงู†ุนู‚ุฏ ุจุฐู„ูƒ ุงู„ุชูุณูŠุฑ. ูˆุฃู…ุง ุฃูŠุงู… ุงู„ุญูŠุถ ูู…ุจู‡ู…ุฉุ› ูู„ุง ุจุฏู‘ ุฃู† ุชูƒูˆู† ู…ุญุตูˆุฑุฉุ› ู„ุฃู† ุงู„ุฃุญูƒุงู… ุชุฎุชู„ู ุจุญุงู„ ุงู„ุญูŠุถ ูˆุงู„ุทู‘ู‡ุฑุŒ ููƒุงู† ุญู…ู„ ุงู„ู„ูุธ ุนู„ู‰ ุธุงู‡ุฑู‡ ูˆุญู‚ูŠู‚ุชู‡ ุฃูˆู„ู‰ (1) .\nุงู„ู…ุญุงูˆุฑ ูˆุงู„ุฃุจุนุงุฏ ุงู„ุฑุฆูŠุณูŠุฉ\n\\prod_{y=1}^{n} (1 \\approx \\alpha_y) = 0\nุงู„ุณูŠุงู‚ ุงู„ุชุงุฑูŠุฎูŠ ูˆุงู„ุชุทูˆุฑูŠ\nูููŠ ุณูŽุจู’ุนูุŒ ูˆูŽู„ูŽุง ู†ูŽุฒูุฏู’ ุนูŽู„ูŽู‰ ุฐูŽู„ููƒูŽ\"). ุฑุฌุงู„ ู‡ุฐุง ุงู„ุฅุณู†ุงุฏ: ุณุชุฉ: 1 - (ุงู„ู’ู‚ูŽุงุณูู…ู ุจู’ู†ู ุฒูŽูƒูŽุฑููŠู‘ูŽุงุกูŽ\" ุงู„ู‚ุฑุดูŠู‘ุŒ ุฃุจูˆ ู…ุญู…ุฏ ุงู„ุทุญู‘ุงู† ุงู„ูƒูˆููŠู‘ุŒ ุซู‚ุฉูŒ [11] ู…ุงุช ููŠ ุญุฏูˆุฏ (250) (ู… ุช ุณ ู‚) ุชู‚ุฏู… ููŠ \"ุงู„ุฅูŠู…ุงู†\" 4/ 118. 2 - (ุนูุจูŽูŠู’ุฏู ุงู„ู„ู‡ู ุจู’ู†ู ู…ููˆุณูŽู‰) ุจู† ุฃุจูŠ ุงู„ู…ุฎุชุงุฑ ุงู„ู’ุนูŽุจุณูŠู‘ุŒ ุชู‚ุฏู‘ู… ู‚ุฑูŠุจุงู‹. 3 - (ุดูŽูŠู’ุจูŽุงู†ู) ุจู† ุนุจุฏ ุงู„ุฑุญู…ู† ุงู„ู†ุญูˆูŠู‘ุŒ ุฃุจูˆ ู…ุนุงูˆูŠุฉ ุงู„ุจุตุฑูŠู‘ุŒ ุซู… ุงู„ูƒูˆููŠู‘ุŒ ุซู‚ุฉูŒ ุตุงุญุจ ูƒุชุงุจ [7] (ุช 164) (ุน) ุชู‚ุฏู… ููŠ \"ุงู„ุฅูŠู…ุงู†\" 4/ 118. 4 - (ู…ูุญูŽู…ู‘ูŽุฏู ุจู’ู†ู ุนูŽุจู’ุฏู ุงู„ุฑู‘ูŽุญู’ู…ูŽู†ู ู…ูŽูˆู’ู„ูŽู‰ ุจูŽู†ููŠ ุฒูู‡ู’ุฑูŽุฉูŽ) ู‡ูˆ: ู…ุญู…ุฏ ุจู† ุนุจุฏ ุงู„ุฑุญู…ู† ุจู† ุซูˆุจุงู†\n\\vec{F} = m\\vec{a}\nู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ\nูŠุนุชุฑุถ ุนู„ู‰ ู‡ุฐุง ุจู‚ูˆู„ู‡ ููŠ ู„ูŠู„ุฉ ุงู„ุตู‘ูŠุงู…: {ุฃูŽูŠู‘ุงู…ุงู‹ ู…ูŽุนู’ุฏููˆุฏุงุชู} ุฃุฑุงุฏ ุจู‡ุง ุงู„ุดู‡ุฑ ูƒู„ู‘ู‡ุ› ู„ุฃู†ู‡ ุธุงู‡ุฑ ู„ูุธ ุงู„ุฃูŠู‘ุงู… ู…ู† ุงู„ุซู„ุงุซุฉ ุฅู„ู‰ ุงู„ุนุดุฑุฉ. ุฅู„ุงู‘ ุฃู†ู‡ ู‚ุฏ ูŠุฐูƒุฑ ูˆูŠุฑุงุฏ ุจู‡ ุงู„ุฒูŠุงุฏุฉุŒ ูˆู‚ุฏ ูุณู‘ุฑ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุฃูŠุงู… ุงู„ุตูˆู… ุจุงู„ุดู‘ู‡ุฑุŒ ูุงู†ุนู‚ุฏ ุจุฐู„ูƒ ุงู„ุชูุณูŠุฑ. ูˆุฃู…ุง ุฃูŠุงู… ุงู„ุญูŠุถ ูู…ุจู‡ู…ุฉุ› ูู„ุง ุจุฏู‘ ุฃู† ุชูƒูˆู† ู…ุญุตูˆุฑุฉุ› ู„ุฃู† ุงู„ุฃุญูƒุงู… ุชุฎุชู„ู ุจุญุงู„ ุงู„ุญูŠุถ ูˆุงู„ุทู‘ู‡ุฑุŒ ููƒุงู† ุญู…ู„ ุงู„ู„ูุธ ุนู„ู‰ ุธุงู‡ุฑู‡ ูˆุญู‚ูŠู‚ุชู‡ ุฃูˆู„ู‰ (1) .\n\n![image](img-0)\n\nุงู„ุดูƒู„ (1): ู†ุชุงุฆุฌ ุชุญู„ูŠู„ ุงู„ู…ู„ุงุญู‚ ูˆุงู„ุฌุฏุงูˆู„ ุงู„ุฅุญุตุงุฆูŠุฉ\ni_{n+1} = i_n - \\alpha \\nabla f(i_n)\n\n[tbl-1.html](tbl-1.html)\n\n\\sum_{\\lambda=0}^{100} \\frac{\\alpha^\\lambda}{\\lambda!} = e^{\\alpha}\n\\frac{\\partial y}{\\partial t} = \\lim_{h \\to 0} \\frac{\\min(t + h) - \\min(t)}{h}\n## ู…ู„ุงุญุธุฉ\nุนู† ู…ุญู…ุฏ ุจู† ุฃุญู…ุฏ ุจู† ู…ู‡ุฑุงู†ุŒ ุนู† ู…ุญู…ุฏ ุจู† ุงู„ู‚ุงุณู… ุงู„ุทุงูŠูƒุงู†ูŠ ุงู„ุจู„ุฎูŠุŒ ุนู† ุนู„ูŠ ุจู† ู…ุญู…ุฏ ุงู„ู…ู†ุฌูˆุฑูŠุŒ ุนู† ู…ุงู„ูƒุŒ ูˆู‚ุงู„ ุงู„ุฏู‘ูŽุงุฑูŽู‚ูุทู’ู†ููŠู‘: ูƒู„ู‡ู… (ุนุฏุง ู…ุงู„ูƒ) ุถุนูุงุก. ยซู„ุณุงู† ุงู„ู…ูŠุฒุงู†ยป 4 (5962) ูˆ5 (6978 ูˆ7016 ูˆ7983) .\n\\int_{5}^{N} \\sin(x) \\, dx = z^2 \\times C + \\frac{j}{i^2}",
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"content": "<table><tbody><tr><th>ุจู‡ู…\". \"ุนุจ</th><th>ูˆุณู†ุฏู‡ ุถุนูŠู\".</th><th>\"ู…ูุณุฏุงุช</th><th>ู…ุชูุฑู‚ุฉ\" 22417-</th></tr><tr><td>ุนู† ุนู…ุฑ</td><td>ู‚ุงู„: \"ู„ุง ุชุตู„ูˆุง ุนู„ู‰</td><td>ุฅุซุฑ ุตู„ุงุฉ ุตู„ุงุฉ ู…ุซู„ู‡ุง\". \"ุด</td><td>ูˆุณู…ูˆูŠู‡\". 22418- ุนู†</td></tr><tr><td>ุนู…ุฑ ู‚ุงู„: \"ู„ุง ุชุตู„ูŠู†</td><td>ุฏุจุฑ ูƒู„ ุตู„ุงุฉ ู…ูƒุชูˆุจุฉ ู…ุซู„ู‡ุง\". \"ุนุจ</td><td>ุด\".</td><td>ูƒุจุงุฑ ููŠ ุงู„ู…ูƒุชุจุฉ ุงู„ุฒูŠุฏุงู†ูŠุฉ</td></tr><tr><td>ุจู…ูƒู†ุงุณ. ูˆู…ู†ู‡ ู†ุณุฎุฉ</td><td>ููŠ ุณูุฑูŠู† ูƒุจูŠุฑูŠู†</td><td>ุฌุฏุง ูƒุงู†ุช ููŠ ุงู„ู…ูƒุชุจุฉ ุงู„ูƒุชุงู†ูŠุฉ</td><td>ุจูุงุณุŒ ูˆู„ุนู„ู‡ุง ู†ู‚ู„ุช ุฅู„ู‰</td></tr><tr><td>ุฎุฒุงู†ุฉ ุงู„ุฑุจุงุท. ูˆู‡ูˆ ูƒุดูƒูˆู„ุŒ ู†ุณุฎ ููŠู‡</td><td>ู…ุง ุงุณุชุญุณู†ู‡ ููŠ ุงู„ูƒุชุจุŒ ู…ู† ุบูŠุฑ ุชุจูˆูŠุจ ูˆู„ุง</td><td>ุชุฑุชูŠุจุŒ ูˆ (ุชุญูุฉ ุงู„ุธุฑูุงุก</td><td>ููŠ ุฌู…ูŠุน</td></tr></tbody></table>",
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"text": "ุจู‡ู…\".",
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"text": " \"ุนุจ",
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"text": "ูˆุณู†ุฏู‡",
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"text": " ุถุนูŠู\".",
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"text": "\"ู…ูุณุฏุงุช",
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"text": "ู…ุชูุฑู‚ุฉ\"",
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"text": " 22417-",
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"text": "ุนู†",
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"text": " ุนู…ุฑ",
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"text": "ู‚ุงู„:",
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"text": " \"ู„ุง",
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"text": " ุชุตู„ูˆุง",
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"text": " ุนู„ู‰",
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"content": "ุชุงุฑูŠุฎ ุงู„ุญุถุงุฑุฉ ุงู„ุฅุณู„ุงู…ูŠุฉ ููŠ ุงู„ุฃู†ุฏู„ุณ",
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"content": "ุงู„ู…ู„ุฎุต: ูˆู„ุนู„ู‡ุง ู†ู‚ู„ุช ุฅู„ู‰ ุฎุฒุงู†ุฉ ุงู„ุฑุจุงุท. ูˆู‡ูˆ ูƒุดูƒูˆู„ุŒ ู†ุณุฎ ููŠู‡ ู…ุง ุงุณุชุญุณู†ู‡ ููŠ ุงู„ูƒุชุจุŒ ู…ู† ุบูŠุฑ ุชุจูˆูŠุจ ูˆู„ุง ุชุฑุชูŠุจุŒ ูˆ (ุชุญูุฉ ุงู„ุธุฑูุงุก ููŠ ุฌู…ูŠุน ู…ุง ู„ู„ูƒู„ุงุนูŠู‘ ู…ู† ุงู„ุฑุณุงุฆู„ ุงู„ู†ุจูˆูŠู‘ุฉ ูˆุงู„ุตุญุงุจุฉ ูˆุงู„ุฎู„ูุงุก) ูุฑุบ ู…ู†ู‡ ููŠ ุฃูˆุงุฎุฑ ุณู†ุฉ 1164 ูˆุฃู‡ุฏู‰ ุฃูˆู„ ู†ุณุฎุฉ ุฅู„ู‰ ุงู„ุณู„ุทุงู† ู…ุญู…ุฏ ุจู† ุนุจุฏ ุงู„ู„ู‡ุŒ ูˆ (ู‚ุทุฑ ุงู„ู†ุฏุง ููŠ ุงู„ุชุนุฑูŠู ุจ ุฃุจูŠ ุงู„ุฏุฑุฏุง) ูˆ (ูƒุดู ุงู„ุฃุณู‰ ุจู…ุญุงุณู† ุงู„ุตุงู„ุญุงุช ู…ู† ุงู„ู†ุณุงุŒ ูˆุจุนุถ ุงู„ุชุนุฑูŠูุงุช ุจุงู„ุฃุนู„ุงู… ูˆุงู„ุฑุคุณุง - ุฎ) ู…ู†ู‡ ู†ุณุฎุฉ ููŠ",
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"content": "ุฎุฒุงู†ุฉ ุงู„ู‚ุฑูˆูŠูŠู† (ุงู„ุฑู‚ู… 596) ุฃู„ูู‡ ููŠ ุงู„ู…ุฌุงุนุฉ",
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"content": "<table><tbody><tr><th>ุจู‡ู…\". \"ุนุจ</th><th>ูˆุณู†ุฏู‡ ุถุนูŠู\".</th><th>\"ู…ูุณุฏุงุช</th><th>ู…ุชูุฑู‚ุฉ\" 22417-</th></tr><tr><td>ุนู† ุนู…ุฑ</td><td>ู‚ุงู„: \"ู„ุง ุชุตู„ูˆุง ุนู„ู‰</td><td>ุฅุซุฑ ุตู„ุงุฉ ุตู„ุงุฉ ู…ุซู„ู‡ุง\". \"ุด</td><td>ูˆุณู…ูˆูŠู‡\". 22418- ุนู†</td></tr><tr><td>ุนู…ุฑ ู‚ุงู„: \"ู„ุง ุชุตู„ูŠู†</td><td>ุฏุจุฑ ูƒู„ ุตู„ุงุฉ ู…ูƒุชูˆุจุฉ ู…ุซู„ู‡ุง\". \"ุนุจ</td><td>ุด\".</td><td>ูƒุจุงุฑ ููŠ ุงู„ู…ูƒุชุจุฉ ุงู„ุฒูŠุฏุงู†ูŠุฉ</td></tr><tr><td>ุจู…ูƒู†ุงุณ. ูˆู…ู†ู‡ ู†ุณุฎุฉ</td><td>ููŠ ุณูุฑูŠู† ูƒุจูŠุฑูŠู†</td><td>ุฌุฏุง ูƒุงู†ุช ููŠ ุงู„ู…ูƒุชุจุฉ ุงู„ูƒุชุงู†ูŠุฉ</td><td>ุจูุงุณุŒ ูˆู„ุนู„ู‡ุง ู†ู‚ู„ุช ุฅู„ู‰</td></tr><tr><td>ุฎุฒุงู†ุฉ ุงู„ุฑุจุงุท. ูˆู‡ูˆ ูƒุดูƒูˆู„ุŒ ู†ุณุฎ ููŠู‡</td><td>ู…ุง ุงุณุชุญุณู†ู‡ ููŠ ุงู„ูƒุชุจุŒ ู…ู† ุบูŠุฑ ุชุจูˆูŠุจ ูˆู„ุง</td><td>ุชุฑุชูŠุจุŒ ูˆ (ุชุญูุฉ ุงู„ุธุฑูุงุก</td><td>ููŠ ุฌู…ูŠุน</td></tr></tbody></table>",
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"content": "ุงู„ู…ุนุทูŠุงุช ูˆุงู„ุญู‚ุงุฆู‚ ุงู„ุฃุณุงุณูŠุฉ",
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"content": "ูˆู„ูŠุณ ู„ุฃุญุฏ ุฃู† ูŠุนุชุฑุถ ุนู„ู‰ ู‡ุฐุง ุจู‚ูˆู„ู‡ ููŠ ู„ูŠู„ุฉ ุงู„ุตู‘ูŠุงู…: {ุฃูŽูŠู‘ุงู…ุงู‹ ู…ูŽุนู’ุฏููˆุฏุงุชู} ุฃุฑุงุฏ ุจู‡ุง ุงู„ุดู‡ุฑ ูƒู„ู‘ู‡ุ› ู„ุฃู†ู‡ ุธุงู‡ุฑ ู„ูุธ ุงู„ุฃูŠู‘ุงู… ู…ู† ุงู„ุซู„ุงุซุฉ ุฅู„ู‰ ุงู„ุนุดุฑุฉ. ุฅู„ุงู‘ ุฃู†ู‡ ู‚ุฏ ูŠุฐูƒุฑ ูˆูŠุฑุงุฏ ุจู‡ ุงู„ุฒูŠุงุฏุฉุŒ ูˆู‚ุฏ ูุณู‘ุฑ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุฃูŠุงู… ุงู„ุตูˆู… ุจุงู„ุดู‘ู‡ุฑุŒ ูุงู†ุนู‚ุฏ ุจุฐู„ูƒ ุงู„ุชูุณูŠุฑ. ูˆุฃู…ุง ุฃูŠุงู… ุงู„ุญูŠุถ ูู…ุจู‡ู…ุฉุ› ูู„ุง ุจุฏู‘ ุฃู† ุชูƒูˆู† ู…ุญุตูˆุฑุฉุ› ู„ุฃู† ุงู„ุฃุญูƒุงู… ุชุฎุชู„ู ุจุญุงู„ ุงู„ุญูŠุถ ูˆุงู„ุทู‘ู‡ุฑุŒ ููƒุงู† ุญู…ู„ ุงู„ู„ูุธ ุนู„ู‰ ุธุงู‡ุฑู‡ ูˆุญู‚ูŠู‚ุชู‡ ุฃูˆู„ู‰ (1) .",
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"content": "ุงู„ู…ุญุงูˆุฑ ูˆุงู„ุฃุจุนุงุฏ ุงู„ุฑุฆูŠุณูŠุฉ",
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"content": "\\prod_{y=1}^{n} (1 \\approx \\alpha_y) = 0",
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"content": "ุงู„ุณูŠุงู‚ ุงู„ุชุงุฑูŠุฎูŠ ูˆุงู„ุชุทูˆุฑูŠ",
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"content": "ูููŠ ุณูŽุจู’ุนูุŒ ูˆูŽู„ูŽุง ู†ูŽุฒูุฏู’ ุนูŽู„ูŽู‰ ุฐูŽู„ููƒูŽ\"). ุฑุฌุงู„ ู‡ุฐุง ุงู„ุฅุณู†ุงุฏ: ุณุชุฉ: 1 - (ุงู„ู’ู‚ูŽุงุณูู…ู ุจู’ู†ู ุฒูŽูƒูŽุฑููŠู‘ูŽุงุกูŽ\" ุงู„ู‚ุฑุดูŠู‘ุŒ ุฃุจูˆ ู…ุญู…ุฏ ุงู„ุทุญู‘ุงู† ุงู„ูƒูˆููŠู‘ุŒ ุซู‚ุฉูŒ [11] ู…ุงุช ููŠ ุญุฏูˆุฏ (250) (ู… ุช ุณ ู‚) ุชู‚ุฏู… ููŠ \"ุงู„ุฅูŠู…ุงู†\" 4/ 118. 2 - (ุนูุจูŽูŠู’ุฏู ุงู„ู„ู‡ู ุจู’ู†ู ู…ููˆุณูŽู‰) ุจู† ุฃุจูŠ ุงู„ู…ุฎุชุงุฑ ุงู„ู’ุนูŽุจุณูŠู‘ุŒ ุชู‚ุฏู‘ู… ู‚ุฑูŠุจุงู‹. 3 - (ุดูŽูŠู’ุจูŽุงู†ู) ุจู† ุนุจุฏ ุงู„ุฑุญู…ู† ุงู„ู†ุญูˆูŠู‘ุŒ ุฃุจูˆ ู…ุนุงูˆูŠุฉ ุงู„ุจุตุฑูŠู‘ุŒ ุซู… ุงู„ูƒูˆููŠู‘ุŒ ุซู‚ุฉูŒ ุตุงุญุจ ูƒุชุงุจ [7] (ุช 164) (ุน) ุชู‚ุฏู… ููŠ \"ุงู„ุฅูŠู…ุงู†\" 4/ 118. 4 - (ู…ูุญูŽู…ู‘ูŽุฏู ุจู’ู†ู ุนูŽุจู’ุฏู ุงู„ุฑู‘ูŽุญู’ู…ูŽู†ู ู…ูŽูˆู’ู„ูŽู‰ ุจูŽู†ููŠ ุฒูู‡ู’ุฑูŽุฉูŽ) ู‡ูˆ: ู…ุญู…ุฏ ุจู† ุนุจุฏ ุงู„ุฑุญู…ู† ุจู† ุซูˆุจุงู†",
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"content": "\\vec{F} = m\\vec{a}",
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"content": "ู…ุฑุงุฌุนุฉ ุงู„ุฃุฏุจูŠุงุช ูˆุงู„ุฏุฑุงุณุงุช ุงู„ุณุงุจู‚ุฉ",
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"content": "ูŠุนุชุฑุถ ุนู„ู‰ ู‡ุฐุง ุจู‚ูˆู„ู‡ ููŠ ู„ูŠู„ุฉ ุงู„ุตู‘ูŠุงู…: {ุฃูŽูŠู‘ุงู…ุงู‹ ู…ูŽุนู’ุฏููˆุฏุงุชู} ุฃุฑุงุฏ ุจู‡ุง ุงู„ุดู‡ุฑ ูƒู„ู‘ู‡ุ› ู„ุฃู†ู‡ ุธุงู‡ุฑ ู„ูุธ ุงู„ุฃูŠู‘ุงู… ู…ู† ุงู„ุซู„ุงุซุฉ ุฅู„ู‰ ุงู„ุนุดุฑุฉ. ุฅู„ุงู‘ ุฃู†ู‡ ู‚ุฏ ูŠุฐูƒุฑ ูˆูŠุฑุงุฏ ุจู‡ ุงู„ุฒูŠุงุฏุฉุŒ ูˆู‚ุฏ ูุณู‘ุฑ ุงู„ู„ู‡ ุชุนุงู„ู‰ ุฃูŠุงู… ุงู„ุตูˆู… ุจุงู„ุดู‘ู‡ุฑุŒ ูุงู†ุนู‚ุฏ ุจุฐู„ูƒ ุงู„ุชูุณูŠุฑ. ูˆุฃู…ุง ุฃูŠุงู… ุงู„ุญูŠุถ ูู…ุจู‡ู…ุฉุ› ูู„ุง ุจุฏู‘ ุฃู† ุชูƒูˆู† ู…ุญุตูˆุฑุฉุ› ู„ุฃู† ุงู„ุฃุญูƒุงู… ุชุฎุชู„ู ุจุญุงู„ ุงู„ุญูŠุถ ูˆุงู„ุทู‘ู‡ุฑุŒ ููƒุงู† ุญู…ู„ ุงู„ู„ูุธ ุนู„ู‰ ุธุงู‡ุฑู‡ ูˆุญู‚ูŠู‚ุชู‡ ุฃูˆู„ู‰ (1) .",
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"content": "ุงู„ุดูƒู„ (1): ู†ุชุงุฆุฌ ุชุญู„ูŠู„ ุงู„ู…ู„ุงุญู‚ ูˆุงู„ุฌุฏุงูˆู„ ุงู„ุฅุญุตุงุฆูŠุฉ",
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"content": "ุนู† ู…ุญู…ุฏ ุจู† ุฃุญู…ุฏ ุจู† ู…ู‡ุฑุงู†ุŒ ุนู† ู…ุญู…ุฏ ุจู† ุงู„ู‚ุงุณู… ุงู„ุทุงูŠูƒุงู†ูŠ ุงู„ุจู„ุฎูŠุŒ ุนู† ุนู„ูŠ ุจู† ู…ุญู…ุฏ ุงู„ู…ู†ุฌูˆุฑูŠุŒ ุนู† ู…ุงู„ูƒุŒ ูˆู‚ุงู„ ุงู„ุฏู‘ูŽุงุฑูŽู‚ูุทู’ู†ููŠู‘: ูƒู„ู‡ู… (ุนุฏุง ู…ุงู„ูƒ) ุถุนูุงุก. ยซู„ุณุงู† ุงู„ู…ูŠุฒุงู†ยป 4 (5962) ูˆ5 (6978 ูˆ7016 ูˆ7983) .",
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