dataset / data /machine_3_002 /annotations /sample_0010033.json
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"markdown": "ุงู„ูู„ุณูุฉ ุงู„ู…ุนุงุตุฑุฉ ูˆุฑุคูŠุชู‡ุง ู„ู„ูˆุงู‚ุน\n\n[tbl-0.html](tbl-0.html)\n\n\n![image](img-0)\n\nุงู„ุดูƒู„ (1): ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู…ุชุบูŠุฑุงุช ุงู„ุชุญุฏูŠุงุช ูˆุงู„ูุฑุต ุงู„ู…ุณุชู‚ุจู„ูŠุฉ\nุงู„ู…ู†ุธูˆุฑ ุงู„ู…ู‚ุงุฑู† ูˆุฃูุถู„ ุงู„ู…ู…ุงุฑุณุงุช\nุงู„ุ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 ูŠู‚ุชุฑุจ ู‡ุฐุง ุฃู† ูŠูƒูˆู† ุฏูŠู†ุง ุฌุฏูŠุฏุงุŒ ู„ุง ูŠู‚ู„ ุนู† ุงู„ู†ุตุฑุงู†ูŠุฉ- ูŠูˆู…ู‡ุง- ุญู‚ุฏุง ุนู„ู‰ ุงู„ุฅุณู„ุงู… ูˆูƒุฑุงู‡ูŠุฉ ู„ู†ุจูŠู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู…ุŒ ูˆุจุนุฏุง ุนู† ุงู„ู…ู†ู‡ุฌูŠู‘ุฉ ููŠ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ูˆู‚ุงุฆุน ูˆุงู„ุฃุญุฏุงุซุŸ ูˆุฃุชุจุงุน ุงู„ู…ุฏุฑุณุฉ ุงู„ู…ุงุฏูŠุฉ ุฃู„ูŠุณูˆุง ู‡ู… ุฑู‡ุจุงู†ุง ุฌุฏุฏุง ููŠ ู…ูˆู‚ูู‡ู… ู…ู† ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ูˆุชุงุฑูŠุฎู†ุงุ› ุบูŠู‘ุฑูˆุง ุฃุฒูŠุงุกู‡ู… ูˆู„ูƒู†ู‡ู… ุธู„ูˆุง ู…ู†\nุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ\nูˆูŽู…ูŽุง ุฃูŽุชูŽู‰ ู…ูุฐูŽูƒู‘ูŽุฑู‹ุง ู„ูŽู…ู’ ูŠูุฌู’ู…ูŽุนู โ€ฆ ุจูุฃูŽู„ููู ูˆูŽุงู„ุชู‘ูŽุง ููŽุฐููŠ ู„ูŽุง ุชูุชู’ุจูุนู 7827 - ูˆูŽู…ูŽุง ุบูŽุฏูŽุง ู…ูŽูู’ุชููˆุญูŽ ููŽุงุกู ุจูŽูŠู‘ูŽู†ูŽุง โ€ฆ ูˆูŽุฌู’ู‡ูŽูŠู’ู†ู ุฃูŽูŠู’ุถู‹ุง ูููŠู‡ู ุฅูุฐู’ ู‚ูŽุงู„ูŽ ู‡ูู†ูŽุง 7828 - ูˆูŽุณูŽูƒู‘ูู†ู ุงู„ุชู‘ูŽุงู„ููŠูŽ ุบูŽูŠู’ุฑูŽ ุงู„ููŽุชู’ุญู ุฃูŽูˆู’ โ€ฆ ุฎูŽูู‘ููู’ู‡ู ุจูุงู„ููŽุชู’ุญู ููŽูƒูู„ู‹ู‘ุง ู‚ูŽุฏู’ ุฑูŽูˆูŽูˆู’ุง 7829 - ุนูŽู†ู’ ุนูŽุฑูŽุจู ููŽุฃูŽูˆู‘ูŽู„ูŒ ูƒูŽู€\"ู‡ูู†ู’ุฏูŽุงุชู’\" โ€ฆ \"ุฌูู…ู’ู„ูŽุงุชู\" ุงูˆู’ \"ุฎูุทู’ูˆูŽุงุชู\" ุงูˆู’ ูƒูŽู€\"ูƒูุณู’ุฑูŽุงุชู’\"\n\\mathbb{E}[x] = \\int x f_x(x) dx + \\frac{i}{\\mu^2}\n\n![image](img-1)\n\nุงู„ุดูƒู„ (2): ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู…ุชุบูŠุฑุงุช ุงู„ุฎู„ุงุตุฉ ุงู„ุชู†ููŠุฐูŠุฉ ูˆุฃุจุฑุฒ ุงู„ู†ุชุงุฆุฌ\ny_{n+1} = y_n - \\alpha \\nabla f(y_n)\nูุฑุถูŠุงุช ุงู„ุจุญุซ ูˆุงู„ู…ุชุบูŠุฑุงุช ุงู„ู…ุนุชู…ุฏุฉ\nุฏูˆู† ุงู„ู„ู‡). ุฃู‚ูˆู„: ู„ูƒู† ูŠู†ุจุบูŠ ุฃู† ูŠุบุงู„ุจ ุงู„ุฎูˆู ุจุงู„ุชูˆูƒู„ ุนู„ู‰ ุงู„ู„ู‡ ููŽุฅูุฐูŽุง ุงู„ู‘ูŽุฐููŠ ุงุณู’ุชูŽู†ู’ุตูŽุฑูŽู‡ู ุจูุงู„ู’ุฃูŽู…ู’ุณู ุฃูŠ ุนู„ู‰ ุฐู„ูƒ ุงู„ู‚ุจุทูŠ ูŠูŽุณู’ุชูŽุตู’ุฑูุฎูู‡ู ุฃูŠ ูŠุณุชุบูŠุซู‡. ูˆุงู„ู…ุนู†ู‰: ุฃู† ุงู„ุฅุณุฑุงุฆูŠู„ูŠ ุงู„ุฐูŠ ุฎู„ุตู‡ ู…ูˆุณู‰ ุงุณุชุบุงุซ ุจู‡ ุซุงู†ูŠุง ู…ู† ู‚ุจุทูŠ ุขุฎุฑ ู‚ุงู„ูŽ ู„ูŽู‡ู ู…ููˆุณู‰ ุฃูŠ ู‚ุงู„ ู…ูˆุณู‰ ู„ู„ุฅุณุฑุงุฆูŠู„ูŠ ุฅูู†ู‘ูŽูƒูŽ ู„ูŽุบูŽูˆููŠูŒู‘ ู…ูุจููŠู†ูŒ ุฃูŠ ุฃูŠ ุถุงู„ ุนู† ุงู„ุฑุดุฏุŒ ุธุงู‡ุฑ ุงู„ุบูˆุงูŠุฉุŒ ูƒุซูŠุฑ ุงู„ุดุฑ ููŽู„ูŽู…ู‘ูŽุง ุฃูŽู†ู’ ุฃูŽุฑุงุฏูŽ ุฃูŽู†ู’ ูŠูŽุจู’ุทูุดูŽ ุจูุงู„ู‘ูŽุฐููŠ ู‡ููˆูŽ\n\n![image](img-2)\n\nุตูˆุฑุฉ ุชูุตูŠู„ูŠุฉ ู„ู…ูƒูˆู†ุงุช ุงู„ู…ุญุงูˆุฑ ูˆุงู„ุฃุจุนุงุฏ ุงู„ุฑุฆูŠุณูŠุฉ\n## ู…ู„ุงุญุธุฉ\nุนุฒ ูˆุฌู„ ุจู‡ุฐุง ุงู„ู‚ุฑุขู† ู…ุตุญุญุง ู„ู„ุฃุฎุทุงุก ูˆู‡ุงุฏูŠุง ู„ู„ุตูˆุงุจ.\n\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)\n\n[tbl-1.html](tbl-1.html)\n\nุงู„ุญู„ูˆู„ ูˆุงู„ุจุฏุงุฆู„ ุงู„ุงุณุชุฑุงุชูŠุฌูŠุฉ\nุฏุงุฎู„ ู†ููˆุณู‡ู… ุฑู‡ุจุงู†ุง ูŠู†ุชู…ูˆู† ู„ู„ูƒู‡ู†ูˆุช ุงู„ู…ุงุฏูŠ ุงู„ุฌุฏูŠุฏ ุงู„ุฐูŠ ู…ุง ูƒุงู† ุชุฏุฎูŠู†ู‡ ุนู„ู‰ ุงู„ุฑุคูŠุฉ ุงู„ู†ู‚ูŠู‘ุฉ ุฅุฒุงุก ุณูŠุฑุฉ ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุจุฃู‚ู„ู‘ ูƒุซุงูุฉ ู…ู† ุงู„ุฏุฎุงู† ุงู„ุฐูŠ ุฃุซุงุฑู‡ ุฑุฌุงู„ ุงู„ู†ุตุฑุงู†ูŠุฉ ุงู„ุฃูˆุงุฆู„ุŸ.\n\n![image](img-3)\n\nุงู„ุดูƒู„ (3): ู†ุชุงุฆุฌ ุชุญู„ูŠู„ ุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ\n\n[tbl-2.html](tbl-2.html)\n",
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"content": "<table><tbody><tr><th>ู…ูˆุณู‰ ุนูŽุณู‰ ุฑูŽุจู‘ููŠ</th><th>ุฃูŽู†ู’ ูŠูŽู‡ู’ุฏููŠูŽู†ููŠ</th><th>ุณูŽูˆุงุกูŽ ุงู„ุณู‘ูŽุจููŠู„ู ุฃูŠ</th><th>ูˆุณุทู‡ุŒ</th></tr><tr><td>ูˆู…ุนุธู… ู†ู‡ุฌู‡ุŒ ุฃูŠ ุงู„ุทุฑูŠู‚ ุงู„ุฃู‚ูˆู…</td><td>ููุนู„ ุงู„ู„ู‡ ุจู‡ ุฐู„ูƒุŒ</td><td>ูˆู‡ุฏุงู‡ ุฅู„ู‰ ุงู„ุตุฑุงุท ุงู„ู…ุณุชู‚ูŠู… ููŠ ุงู„ุฏู†ูŠุง</td><td>ูˆุงู„ุขุฎุฑุฉุŒ ูุฌุนู„ู‡ ู‡ุงุฏูŠุง</td></tr><tr><td>ู…ู‡ุฏูŠุง ูˆุจู‡ุฐุง ุงู†ุชู‡ู‰ ุงู„ู…ุดู‡ุฏ ุงู„ุซุงู†ูŠ: โ€Œ</td><td>โ€Œููˆุงุฆุฏ: 1 - ู‡ุฐุง</td><td>ุงู„ู…ุดู‡ุฏ ุชุฌุฏู‡ ููŠ ุงู„ุฅุตุญุงุญ</td><td>ุงู„ุซุงู†ูŠ ู…ู† ุณูุฑ ุงู„ุฎุฑูˆุฌุŒ ูˆู„ูƒู†</td></tr><tr><td>ูƒุงู„ุนุงุฏุฉ ู‚ุฏ ุงุฎุชู„ุท ููŠู‡ ุงู„ุญู‚ ุจุงู„ุจุงุทู„ุŒ</td><td>ูˆุงู„ุฎุทุฃ ุจุงู„ุตูˆุงุจุŒ ู„ุชู‚ุงุฏู…</td><td>ุงู„ุนู‡ุฏ ุนู„ู‰ ุฒู…ู†</td><td>ุงู„ู†ุณุฎ- ูˆู„ุฃุณุจุงุจ ุฃุฎุฑู‰- ูุฌุงุกู†ุง ุงู„ู„ู‡</td></tr></tbody></table>",
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"text": "ู…ูˆุณู‰",
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"text": " ุนูŽุณู‰",
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"text": "ุฃูŽู†ู’",
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"text": "ููุนู„",
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"text": " ุฅู„ู‰",
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"content": "ุ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 ูŠู‚ุชุฑุจ ู‡ุฐุง ุฃู† ูŠูƒูˆู† ุฏูŠู†ุง ุฌุฏูŠุฏุงุŒ ู„ุง ูŠู‚ู„ ุนู† ุงู„ู†ุตุฑุงู†ูŠุฉ- ูŠูˆู…ู‡ุง- ุญู‚ุฏุง ุนู„ู‰ ุงู„ุฅุณู„ุงู… ูˆูƒุฑุงู‡ูŠุฉ ู„ู†ุจูŠู‡ ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู…ุŒ ูˆุจุนุฏุง ุนู† ุงู„ู…ู†ู‡ุฌูŠู‘ุฉ ููŠ ุงู„ุชุนุงู…ู„ ู…ุน ุงู„ูˆู‚ุงุฆุน ูˆุงู„ุฃุญุฏุงุซุŸ ูˆุฃุชุจุงุน ุงู„ู…ุฏุฑุณุฉ ุงู„ู…ุงุฏูŠุฉ ุฃู„ูŠุณูˆุง ู‡ู… ุฑู‡ุจุงู†ุง ุฌุฏุฏุง ููŠ ู…ูˆู‚ูู‡ู… ู…ู† ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ูˆุชุงุฑูŠุฎู†ุงุ› ุบูŠู‘ุฑูˆุง ุฃุฒูŠุงุกู‡ู… ูˆู„ูƒู†ู‡ู… ุธู„ูˆุง ู…ู†",
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"content": "ุฃู‡ุฏุงู ุงู„ุฏุฑุงุณุฉ ูˆุฃู‡ู…ูŠุชู‡ุง ุงู„ุนู„ู…ูŠุฉ",
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"content": "ูˆูŽู…ูŽุง ุฃูŽุชูŽู‰ ู…ูุฐูŽูƒู‘ูŽุฑู‹ุง ู„ูŽู…ู’ ูŠูุฌู’ู…ูŽุนู โ€ฆ ุจูุฃูŽู„ููู ูˆูŽุงู„ุชู‘ูŽุง ููŽุฐููŠ ู„ูŽุง ุชูุชู’ุจูุนู 7827 - ูˆูŽู…ูŽุง ุบูŽุฏูŽุง ู…ูŽูู’ุชููˆุญูŽ ููŽุงุกู ุจูŽูŠู‘ูŽู†ูŽุง โ€ฆ ูˆูŽุฌู’ู‡ูŽูŠู’ู†ู ุฃูŽูŠู’ุถู‹ุง ูููŠู‡ู ุฅูุฐู’ ู‚ูŽุงู„ูŽ ู‡ูู†ูŽุง 7828 - ูˆูŽุณูŽูƒู‘ูู†ู ุงู„ุชู‘ูŽุงู„ููŠูŽ ุบูŽูŠู’ุฑูŽ ุงู„ููŽุชู’ุญู ุฃูŽูˆู’ โ€ฆ ุฎูŽูู‘ููู’ู‡ู ุจูุงู„ููŽุชู’ุญู ููŽูƒูู„ู‹ู‘ุง ู‚ูŽุฏู’ ุฑูŽูˆูŽูˆู’ุง 7829 - ุนูŽู†ู’ ุนูŽุฑูŽุจู ููŽุฃูŽูˆู‘ูŽู„ูŒ ูƒูŽู€\"ู‡ูู†ู’ุฏูŽุงุชู’\" โ€ฆ \"ุฌูู…ู’ู„ูŽุงุชู\" ุงูˆู’ \"ุฎูุทู’ูˆูŽุงุชู\" ุงูˆู’ ูƒูŽู€\"ูƒูุณู’ุฑูŽุงุชู’\"",
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"content": "\\mathbb{E}[x] = \\int x f_x(x) dx + \\frac{i}{\\mu^2}",
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"content": "ุงู„ุดูƒู„ (2): ุงู„ุนู„ุงู‚ุฉ ุจูŠู† ู…ุชุบูŠุฑุงุช ุงู„ุฎู„ุงุตุฉ ุงู„ุชู†ููŠุฐูŠุฉ ูˆุฃุจุฑุฒ ุงู„ู†ุชุงุฆุฌ",
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"content": "y_{n+1} = y_n - \\alpha \\nabla f(y_n)",
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"content": "ูุฑุถูŠุงุช ุงู„ุจุญุซ ูˆุงู„ู…ุชุบูŠุฑุงุช ุงู„ู…ุนุชู…ุฏุฉ",
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"content": "ุฏูˆู† ุงู„ู„ู‡). ุฃู‚ูˆู„: ู„ูƒู† ูŠู†ุจุบูŠ ุฃู† ูŠุบุงู„ุจ ุงู„ุฎูˆู ุจุงู„ุชูˆูƒู„ ุนู„ู‰ ุงู„ู„ู‡ ููŽุฅูุฐูŽุง ุงู„ู‘ูŽุฐููŠ ุงุณู’ุชูŽู†ู’ุตูŽุฑูŽู‡ู ุจูุงู„ู’ุฃูŽู…ู’ุณู ุฃูŠ ุนู„ู‰ ุฐู„ูƒ ุงู„ู‚ุจุทูŠ ูŠูŽุณู’ุชูŽุตู’ุฑูุฎูู‡ู ุฃูŠ ูŠุณุชุบูŠุซู‡. ูˆุงู„ู…ุนู†ู‰: ุฃู† ุงู„ุฅุณุฑุงุฆูŠู„ูŠ ุงู„ุฐูŠ ุฎู„ุตู‡ ู…ูˆุณู‰ ุงุณุชุบุงุซ ุจู‡ ุซุงู†ูŠุง ู…ู† ู‚ุจุทูŠ ุขุฎุฑ ู‚ุงู„ูŽ ู„ูŽู‡ู ู…ููˆุณู‰ ุฃูŠ ู‚ุงู„ ู…ูˆุณู‰ ู„ู„ุฅุณุฑุงุฆูŠู„ูŠ ุฅูู†ู‘ูŽูƒูŽ ู„ูŽุบูŽูˆููŠูŒู‘ ู…ูุจููŠู†ูŒ ุฃูŠ ุฃูŠ ุถุงู„ ุนู† ุงู„ุฑุดุฏุŒ ุธุงู‡ุฑ ุงู„ุบูˆุงูŠุฉุŒ ูƒุซูŠุฑ ุงู„ุดุฑ ููŽู„ูŽู…ู‘ูŽุง ุฃูŽู†ู’ ุฃูŽุฑุงุฏูŽ ุฃูŽู†ู’ ูŠูŽุจู’ุทูุดูŽ ุจูุงู„ู‘ูŽุฐููŠ ู‡ููˆูŽ",
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"content": "ุตูˆุฑุฉ ุชูุตูŠู„ูŠุฉ ู„ู…ูƒูˆู†ุงุช ุงู„ู…ุญุงูˆุฑ ูˆุงู„ุฃุจุนุงุฏ ุงู„ุฑุฆูŠุณูŠุฉ",
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"content": "ู…ู„ุงุญุธุฉ",
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"content": "ุนุฒ ูˆุฌู„ ุจู‡ุฐุง ุงู„ู‚ุฑุขู† ู…ุตุญุญุง ู„ู„ุฃุฎุทุงุก ูˆู‡ุงุฏูŠุง ู„ู„ุตูˆุงุจ.",
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"content": "\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)",
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"content": "<table><tbody><tr><th>ุจุธู‡ูˆุฑ ุงู„ุฅุณู„ุงู…</th><th>ูŠุฐู‡ุจ</th><th>(ูƒู„ูŠู…ูˆููŠุฌ) ุฅู„ู‰ ุฃู†</th></tr><tr><td>ุฌุฒุข ูƒุจูŠุฑุง ู…ู†ู‡</td><td>ุธู‡ุฑ ููŠู…ุง ุจุนุฏ ููŠ ู…ุตู„ุญุฉ ุงู„ุฅู‚ุทุงุนูŠูŠู†ุŒ ูˆู†ุณุจ ุฃุตู„ู‡</td><td>ุฅู„ู‰ ูุนุงู„ูŠุงุช ู…ุนุฌุฒุฉ ู„ู…ุญู…ุฏุŒ ูˆุชุฌุงูˆุฒ</td></tr><tr><td>(ุชูˆู„ุณุชูˆู) ุฅู„ู‰</td><td>ุฃู† ุงู„ุฅุณู„ุงู… ู†ุดุฃ ู…ู† ุฃุณุทูˆุฑุฉ</td><td>ุตู†ุนุช ููŠ ูุชุฑุฉ</td></tr></tbody></table>",
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"content": "ุงู„ุญู„ูˆู„ ูˆุงู„ุจุฏุงุฆู„ ุงู„ุงุณุชุฑุงุชูŠุฌูŠุฉ",
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"content": "ุฏุงุฎู„ ู†ููˆุณู‡ู… ุฑู‡ุจุงู†ุง ูŠู†ุชู…ูˆู† ู„ู„ูƒู‡ู†ูˆุช ุงู„ู…ุงุฏูŠ ุงู„ุฌุฏูŠุฏ ุงู„ุฐูŠ ู…ุง ูƒุงู† ุชุฏุฎูŠู†ู‡ ุนู„ู‰ ุงู„ุฑุคูŠุฉ ุงู„ู†ู‚ูŠู‘ุฉ ุฅุฒุงุก ุณูŠุฑุฉ ุฑุณูˆู„ู†ุง ุนู„ูŠู‡ ุงู„ุตู„ุงุฉ ูˆุงู„ุณู„ุงู… ุจุฃู‚ู„ู‘ ูƒุซุงูุฉ ู…ู† ุงู„ุฏุฎุงู† ุงู„ุฐูŠ ุฃุซุงุฑู‡ ุฑุฌุงู„ ุงู„ู†ุตุฑุงู†ูŠุฉ ุงู„ุฃูˆุงุฆู„ุŸ.",
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"title_font": "ah-manal-bold.ttf",
"language": "ar",
"script": "arabic",
"direction": "rtl",
"augmentation": null
}
}