Download data/Nihal_001/annotations/sample_0000024.json from OCR-Data/ocr_dataset: direct link, hf CLI and curl.
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https://huggingface.co/datasets/OCR-Data/ocr_dataset/resolve/82511f4d4631a11d50368af3059f4eb3c13b0925/data/Nihal_001/annotations/sample_0000024.json
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curl -L -o sample_0000024.json https://huggingface.co/datasets/OCR-Data/ocr_dataset/resolve/82511f4d4631a11d50368af3059f4eb3c13b0925/data/Nihal_001/annotations/sample_0000024.json
44.2 kB
| { | |
| "markdown": "\\nabla_{\\alpha} J(\\alpha) = \\frac{1}{m} X^T ( \\sigma(X \\alpha) - Y )\n## ุจุฑูุงู\nุนูููุ ุญุชู ูู ุฃุฎุฐุช ููู ุฉ ูุงุญุฏุฉ ููุถุนุชูุง ูู ูู ุฃุฎูู ุงูู ุณูู ุขุฌุฑู ุงููููู ุนูููุงุ ุงูููู ุฉ ุงูุทูุจุฉ ุฅูู ุง ูู ุตุฏูุฉุ ุฅุฑุดุงุฏู ุฃุฎุงู ุฅูู ุงูุทุฑูู ุงูุณูู ุตุฏูุฉุ ูู ุนู ู ู ู ุฃุนู ุงู ุงูุจุฑ ุชุซุงุจ ุนููู ูุชุคุฌุฑ ุนููู. * ูุงู: (ููููุฑููู ุฐููููู ู ูุงูููู ููุงูุดููุงููุนููููุ ููููุงููุง: \"ุฅููู\n\\int_{4}^{\\infty} \\tan(y) \\, dy = \\mu^2 = C + \\frac{\\mu}{y^2}\n\\vec{F} = m\\vec{a} + \\frac{t}{y^2}\n## ุจุฑูุงู\nููููุนู ุฐููููู ุฌูุงุฒูุ ููููู ู ููุฌูุฒู ุฐููููู ุฃูุจูู ุญููููููุฉู). ูุฃุญู ุฏ ููุฑููู ุจูู ูุฑู ุฐููุ ูุนูู ู ุงูู ูุงูุดุงูุนู ูุงูุง ุจูุฌู ู ุน ุงููุฑุงูุฉุ ููู ุฑูุงูุฉ ููุฅู ุงู ุฃุญู ุฏ (2) ุ ููููุง ููุณุช ุงูุฑูุงูุฉ ุงูู ุนุชู ุฏุฉุ ุฃู ุง ู ุฐูุจ ุฃุจู ุญูููุฉ (3) ุ ูุฃุญู ุฏ (4) ุ ูุฅู ุฐูู ูุง ููุจุบู ูุฃููู ู ุณูู .\n\\frac{\\partial \\mu}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\max(\\beta + h) - \\max(\\beta)}{h}\n## ู ูุงุญุธุฉ\nโ โ[ุจุฑูุท] ุงูุจูุฑูููุทูุฉู: ุฎูุทููู ู ุชูุงุฑุจู. ูููุงู: ุจูุฑูููุทู ุงูุฑุฌููุ ุฅุฐุง ูููููู ู ุชูููุชุงู.\n\\frac{\\partial \\alpha}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\log(\\lambda + h) - \\log(\\lambda)}{h}\n\\prod_{k=1}^{n} (1 \\geq x_k) = 0 + \\frac{k}{\\sigma^2}\n## ู ูุงุญุธุฉ\nูุญุฐู. ููููู ุชุนุงูู: (ุฅูููู ุงูุณููู ูุนู ููุงููุจูุตูุฑู ููุงููููุคุงุฏู ููููู ุฃูููุฆููู ูุงูู ุนููููู ู ูุณูุคูููุง) ยซ5ยป ุฃู: ูู ุฃูุนุงู ุฃููุฆูุ ุฃู: ุฅู ุฐุง ุงูุนูุฏ ูุงู ู ุณุฆููุง ุนููุ ุฃู ุนู ูู ุงูุฃูุนุงู. ูููู: ุฃู: ูููู ุงูุฅูุณุงู ูู ุงูู ุณุฆูู ุนู ุงูุณู ุน ูุงูุจุตุฑ ูุงููุคุงุฏุ ุชุณุฃู ุนู ุงูุฅูุณุงู ูุชููู ุดููุฏุงู ุนููู ูููุ ุจู ุง ูุนู ู ู ุทุงุนุฉ ูุงุฑุชูุจ ู ู\n\\alpha_{n+1} = \\alpha_n - \\alpha \\nabla f(\\alpha_n)\n\\iint_{D} k^2 + \\theta^2 \\, dx \\, dy\n\\frac{\\partial \\mu}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\ln(\\alpha + h) - \\ln(\\alpha)}{h}", | |
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| { | |
| "text": "\\nabla_{\\alpha}", | |
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| "text": "\\frac{1}{m}", | |
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| { | |
| "text": "X^T", | |
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| { | |
| "text": "(", | |
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| { | |
| "text": "\\sigma(X", | |
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| }, | |
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| "text": "\\alpha)", | |
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| "text": "-", | |
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| "text": "Y", | |
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| "text": ")", | |
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| { | |
| "text": "##", | |
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| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
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| }, | |
| { | |
| "text": "ุนูููุ", | |
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| }, | |
| { | |
| "text": "ุญุชู", | |
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| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุฃุฎุฐุช", | |
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| "text": "ููู ุฉ", | |
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| "text": "ูุงุญุฏุฉ", | |
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| "text": "ููุถุนุชูุง", | |
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| "text": "ุนูููุงุ", | |
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| { | |
| "text": "ุงูููู ุฉ", | |
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| { | |
| "text": "ุงูุทูุจุฉ", | |
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| }, | |
| { | |
| "text": "ุฅูู ุง", | |
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| { | |
| "text": "ูู", | |
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| { | |
| "text": "ุตุฏูุฉุ", | |
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| }, | |
| { | |
| "text": "ุฅุฑุดุงุฏู", | |
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| }, | |
| { | |
| "text": "ุฃุฎุงู", | |
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| { | |
| "text": "ุฅูู", | |
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| { | |
| "text": "ุงูุทุฑูู", | |
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| }, | |
| { | |
| "text": "ุงูุณูู", | |
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| }, | |
| { | |
| "text": "ุตุฏูุฉุ", | |
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| { | |
| "text": "ูู", | |
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| "text": "ุนู ู", | |
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| { | |
| "text": "ู ู", | |
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| "text": "ุชุซุงุจ", | |
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| "text": "ููุงูุดููุงููุนููููุ", | |
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| "text": "ุจุฑูุงู", | |
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| "text": "ููููุนู", | |
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| "text": "ุฌูุงุฒูุ", | |
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| "text": "ููููู ู", | |
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| { | |
| "text": "ููุฌูุฒู", | |
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| { | |
| "text": "ุฐููููู", | |
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| { | |
| "text": "ุฃูุจูู", | |
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| { | |
| "text": "ุญููููููุฉู).", | |
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| { | |
| "text": "ูุฃุญู ุฏ", | |
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| "text": "ุจูู", | |
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| "text": "ุจูุฌู", | |
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| "text": "ู ุน", | |
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| "text": "ุงููุฑุงูุฉุ", | |
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| "text": "ููู", | |
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| }, | |
| { | |
| "text": "ุฑูุงูุฉ", | |
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| { | |
| "text": "ููุฅู ุงู ", | |
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| }, | |
| { | |
| "text": "ุฃุญู ุฏ", | |
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| { | |
| "text": "(2)", | |
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| "text": "ุ", | |
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| "text": "ููููุง", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ููุณุช", | |
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| }, | |
| { | |
| "text": "ุงูุฑูุงูุฉ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุงูู ุนุชู ุฏุฉุ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฃู ุง", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ุฐูุจ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฃุจู", | |
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| }, | |
| { | |
| "text": "ุญูููุฉ", | |
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| }, | |
| { | |
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| { | |
| "text": "ุ", | |
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| }, | |
| { | |
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| { | |
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| { | |
| "text": "ุ", | |
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| { | |
| "text": "ูุฅู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 658 | |
| }, | |
| { | |
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| }, | |
| { | |
| "text": "ูุฃููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ุณูู .", | |
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| { | |
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| { | |
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| { | |
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| { | |
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| "text": "ู ูุงุญุธุฉ", | |
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| { | |
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| { | |
| "text": "ุงูุจูุฑูููุทูุฉู:", | |
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| { | |
| "text": "ู ุชูุงุฑุจู.", | |
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| { | |
| "text": "ูููุงู:", | |
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| { | |
| "text": "ุจูุฑูููุทู", | |
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| { | |
| "text": "ุงูุฑุฌููุ", | |
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| "text": "ูููููู", | |
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| { | |
| "text": "ู ุชูููุชุงู.", | |
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| { | |
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| "text": "ุงูุณููู ูุนู", | |
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| "text": "ยซ5ยป", | |
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| { | |
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| { | |
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| "content": "ุนูููุ ุญุชู ูู ุฃุฎุฐุช ููู ุฉ ูุงุญุฏุฉ ููุถุนุชูุง ูู ูู ุฃุฎูู ุงูู ุณูู ุขุฌุฑู ุงููููู ุนูููุงุ ุงูููู ุฉ ุงูุทูุจุฉ ุฅูู ุง ูู ุตุฏูุฉุ ุฅุฑุดุงุฏู ุฃุฎุงู ุฅูู ุงูุทุฑูู ุงูุณูู ุตุฏูุฉุ ูู ุนู ู ู ู ุฃุนู ุงู ุงูุจุฑ ุชุซุงุจ ุนููู ูุชุคุฌุฑ ุนููู. * ูุงู: (ููููุฑููู ุฐููููู ู ูุงูููู ููุงูุดููุงููุนููููุ ููููุงููุง: \"ุฅููู", | |
| "type": "text", | |
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| }, | |
| { | |
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| "content": "\\int_{4}^{\\infty} \\tan(y) \\, dy = \\mu^2 = C + \\frac{\\mu}{y^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 272, | |
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| "content": "\\vec{F} = m\\vec{a} + \\frac{t}{y^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "bottom_right_y": 363, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 368, | |
| "bottom_right_x": 756, | |
| "bottom_right_y": 413, | |
| "content": "ููููุนู ุฐููููู ุฌูุงุฒูุ ููููู ู ููุฌูุฒู ุฐููููู ุฃูุจูู ุญููููููุฉู). ูุฃุญู ุฏ ููุฑููู ุจูู ูุฑู ุฐููุ ูุนูู ู ุงูู ูุงูุดุงูุนู ูุงูุง ุจูุฌู ู ุน ุงููุฑุงูุฉุ ููู ุฑูุงูุฉ ููุฅู ุงู ุฃุญู ุฏ (2) ุ ููููุง ููุณุช ุงูุฑูุงูุฉ ุงูู ุนุชู ุฏุฉุ ุฃู ุง ู ุฐูุจ ุฃุจู ุญูููุฉ (3) ุ ูุฃุญู ุฏ (4) ุ ูุฅู ุฐูู ูุง ููุจุบู ูุฃููู ู ุณูู .", | |
| "type": "text", | |
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| "top_left_x": 52, | |
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| "bottom_right_x": 756, | |
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| "content": "\\frac{\\partial \\mu}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\max(\\beta + h) - \\max(\\beta)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "bottom_right_y": 534, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "content": "โ โ[ุจุฑูุท] ุงูุจูุฑูููุทูุฉู: ุฎูุทููู ู ุชูุงุฑุจู. ูููุงู: ุจูุฑูููุทู ุงูุฑุฌููุ ุฅุฐุง ูููููู ู ุชูููุชุงู.", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 567, | |
| "bottom_right_x": 756, | |
| "bottom_right_y": 620, | |
| "content": "\\frac{\\partial \\alpha}{\\partial \\lambda} = \\lim_{h \\to 0} \\frac{\\log(\\lambda + h) - \\log(\\lambda)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 40, | |
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| "bottom_right_y": 728, | |
| "content": "\\prod_{k=1}^{n} (1 \\geq x_k) = 0 + \\frac{k}{\\sigma^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "bottom_right_y": 762, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
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| "content": "ูุญุฐู. ููููู ุชุนุงูู: (ุฅูููู ุงูุณููู ูุนู ููุงููุจูุตูุฑู ููุงููููุคุงุฏู ููููู ุฃูููุฆููู ูุงูู ุนููููู ู ูุณูุคูููุง) ยซ5ยป ุฃู: ูู ุฃูุนุงู ุฃููุฆูุ ุฃู: ุฅู ุฐุง ุงูุนูุฏ ูุงู ู ุณุฆููุง ุนููุ ุฃู ุนู ูู ุงูุฃูุนุงู. ูููู: ุฃู: ูููู ุงูุฅูุณุงู ูู ุงูู ุณุฆูู ุนู ุงูุณู ุน ูุงูุจุตุฑ ูุงููุคุงุฏุ ุชุณุฃู ุนู ุงูุฅูุณุงู ูุชููู ุดููุฏุงู ุนููู ูููุ ุจู ุง ูุนู ู ู ุทุงุนุฉ ูุงุฑุชูุจ ู ู", | |
| "type": "text", | |
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| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 841, | |
| "bottom_right_x": 756, | |
| "bottom_right_y": 879, | |
| "content": "\\alpha_{n+1} = \\alpha_n - \\alpha \\nabla f(\\alpha_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 911, | |
| "bottom_right_x": 772, | |
| "bottom_right_y": 965, | |
| "content": "\\iint_{D} k^2 + \\theta^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 40, | |
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| "bottom_right_y": 1027, | |
| "content": "\\frac{\\partial \\mu}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\ln(\\alpha + h) - \\ln(\\alpha)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "aref-graffiti.ttf", | |
| "title_font": "aref-graffiti.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |