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| "markdown": "\\int_{0}^{N} \\ln(k) \\, dk = y^2 - C + \\frac{x}{z^2}\n## ุชุนุฑูู\nุขุฎุฑ ู ุณุฃูุฉ ุฎูุงูููุฉ ุจูู ุงููููุงุก ูุงูุฃุตูููููู. ููุฏ ุฐูุจ ุงูุดูุงูุนู ุฑุญู ู ุงููู\n\\prod_{\\sigma=1}^{n} (1 = \\sigma_\\sigma) = 0 + \\frac{\\beta}{\\mu^2}\n## ูุธุฑูุฉ\nูุฌู ุงุนุฉ ู ู ูููุงุก ูุฃุตูููู ุงูุดูุงูุนููุฉ ุฅูู ุฌูุงุฒูุ ูุฐูุจ ุขุฎุฑูู ู ููู ูุนูู ุฑุฃุณูู ุฅู ุงู ุงูุญุฑู ูู ูุงูุบุฒุงูู ุฑุญู ูู ุง ุงูููุ ูุงูุญููููุฉ ุฅูู ู ูุนู ูุบูุฑูู . โ โุซุงูุซุงู: ู ู ุฃู ุซูุฉ ูุฐู ุงููุงุนุฏุฉ ูู ุณุงุฆููุง:\n\\nabla_{\\lambda} J(\\lambda) = \\frac{1}{m} X^T ( \\sigma(X \\lambda) - Y )\n## ู ูุงุญุธุฉ\nูู ูููู ุฃู ุฃูุตู ุนูู ู ูุงูููุ ููู ู ูุงูู ู ู ุฃุนูู ูู ูุงูู ู ู ุฃุณููุ ูุนูุฏ ุงูุญููููุฉ ูู ู ุชุงุจุนู ุฅูู ุงูููู ุจุงุทู ูุงุฎุชูุงู ุฃุณุจุงุจ ุงูุฌูุชููุ ูุงูู ูุงูู\n\\prod_{\\lambda=1}^{n} (1 \\times z_\\lambda) = 0 + \\frac{\\theta}{j^2}", | |
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| "text": "\\int_{0}^{N}", | |
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| { | |
| "text": "\\ln(k)", | |
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| { | |
| "text": "dk", | |
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| { | |
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| }, | |
| { | |
| "text": "y^2", | |
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| }, | |
| { | |
| "text": "ุขุฎุฑ", | |
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| { | |
| "text": "ู ุณุฃูุฉ", | |
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| { | |
| "text": "ุฎูุงูููุฉ", | |
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| { | |
| "text": "ุจูู", | |
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| { | |
| "text": "ุงููููุงุก", | |
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| { | |
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| { | |
| "text": "ููุฏ", | |
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| { | |
| "text": "ุฐูุจ", | |
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| { | |
| "text": "ูุฌู ุงุนุฉ", | |
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| { | |
| "text": "ู ู", | |
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| { | |
| "text": "ูููุงุก", | |
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| { | |
| "text": "ูุฃุตูููู", | |
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| { | |
| "text": "ุงูุดูุงูุนููุฉ", | |
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| { | |
| "text": "ุฅูู", | |
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| { | |
| "text": "ุฌูุงุฒูุ", | |
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| "text": "ูุฐูุจ", | |
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| { | |
| "text": "ุขุฎุฑูู", | |
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| { | |
| "text": "ู ููู ", | |
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| { | |
| "text": "ูุนูู", | |
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| "text": "ุฑุฃุณูู ", | |
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| { | |
| "text": "ุฅู ุงู ", | |
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| { | |
| "text": "ุงูุญุฑู ูู", | |
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| { | |
| "text": "ูุงูุบุฒุงูู", | |
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| { | |
| "text": "ุฑุญู ูู ุง", | |
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| "text": "ู ู", | |
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| "text": "ุฃู", | |
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| { | |
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| "text": "ุงูุญููููุฉ", | |
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| { | |
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| { | |
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| { | |
| "text": "ุงูุฌูุชููุ", | |
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| "text": "ูุงูู ูุงูู", | |
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| { | |
| "text": "\\prod_{\\lambda=1}^{n}", | |
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| "text": "(1", | |
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| "content": "ูุฌู ุงุนุฉ ู ู ูููุงุก ูุฃุตูููู ุงูุดูุงูุนููุฉ ุฅูู ุฌูุงุฒูุ ูุฐูุจ ุขุฎุฑูู ู ููู ูุนูู ุฑุฃุณูู ุฅู ุงู ุงูุญุฑู ูู ูุงูุบุฒุงูู ุฑุญู ูู ุง ุงูููุ ูุงูุญููููุฉ ุฅูู ู ูุนู ูุบูุฑูู . โ โุซุงูุซุงู: ู ู ุฃู ุซูุฉ ูุฐู ุงููุงุนุฏุฉ ูู ุณุงุฆููุง:", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 360, | |
| "bottom_right_x": 488, | |
| "bottom_right_y": 410, | |
| "content": "\\nabla_{\\lambda} J(\\lambda) = \\frac{1}{m} X^T ( \\sigma(X \\lambda) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 454, | |
| "bottom_right_x": 488, | |
| "bottom_right_y": 484, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 489, | |
| "bottom_right_x": 488, | |
| "bottom_right_y": 534, | |
| "content": "ูู ูููู ุฃู ุฃูุตู ุนูู ู ูุงูููุ ููู ู ูุงูู ู ู ุฃุนูู ูู ูุงูู ู ู ุฃุณููุ ูุนูุฏ ุงูุญููููุฉ ูู ู ุชุงุจุนู ุฅูู ุงูููู ุจุงุทู ูุงุฎุชูุงู ุฃุณุจุงุจ ุงูุฌูุชููุ ูุงูู ูุงูู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 540, | |
| "bottom_right_x": 488, | |
| "bottom_right_y": 605, | |
| "content": "\\prod_{\\lambda=1}^{n} (1 \\times z_\\lambda) = 0 + \\frac{\\theta}{j^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "sayeh-1.otf", | |
| "title_font": "mcs-jeddah-s-i-engrave.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |