Download data/run_test_2_002/annotations/sample_0000224.json from OCR-Data/dataset: direct link, hf CLI and curl.
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https://huggingface.co/datasets/OCR-Data/dataset/resolve/main/data/run_test_2_002/annotations/sample_0000224.json
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hf download hf://datasets/OCR-Data/dataset/data/run_test_2_002/annotations/sample_0000224.json
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curl -L -o sample_0000224.json https://huggingface.co/datasets/OCR-Data/dataset/resolve/main/data/run_test_2_002/annotations/sample_0000224.json
32.7 kB
| { | |
| "markdown": "\\prod_{t=1}^{n} (1 - \\sigma_t) = 0\n## ูุธุฑูุฉ\nุจู ุณุนุฏ ุงูุณุงุนุฏู\" ุนู ุฃุจู ุญุงุฒู ูุงู: \"ููุช ุนูุฏ ุณูู ุจู ุณุนุฏ ุงูุณุงุนุฏู ุฅุฐ ููู ูู: ูุงู ุจูู ุจูู ุนู ุฑู ุจู ุนูู ูุฃูู ูุจุงุก ุดูุก\" ููุงู: \"ูุฏูู ูุงู ุฐูู ููุง ุนูุฏ ุฑุณูู ุงููู ุตูู ุงููู ุนููู ูุณูู ุฅุฐ ุฌูุก ูููู ูู: ุฅูู ูุงู ุจูู ุฃูู ูุจุงุก ุดูุกุ ูุงูุทูู ุงููุจู ุตูู\n\\iint_{D} z^2 \\leq \\theta^2 \\, dx \\, dy\n## ู ุจุฑููุฉ\nุงููู ุนููู ูุณูู ุฅูููู ููุตูุญ ุจูููู ุ ูุฃุจุทุฃ ุนูู ุงููุงุณ\" ููุงู ุจูุงู ูุฃุจู ุจูุฑ: \"ุฃูุง ุฃููู ุงูุตูุงุฉุ \" ูุงู: \"ู ุง ุดุฆุชุ ูุฃูุงู ุจูุงู ููุฏู ุงููุงุณ ุฃุจุง ุจูุฑ ูุจููุง ูู ูุตูู ุฃูุจู ุงููุจู ุตูู ุงููู ุนููู ูุณูู ูุฌุนู ูุดู ุงูุตููู ุญุชู ูุงู ุฎูู ุฃุจู ุจูุฑุ ูุฌุนููุง ูุตููููุ ููุงู ูุง\n\\prod_{\\sigma=1}^{n} (1 = y_\\sigma) = 0 + \\frac{\\mu}{i^2}\ny_{n+1} = y_n - \\alpha \\nabla f(y_n)\n\\prod_{\\mu=1}^{n} (1 \\leq z_\\mu) = 0\n\\vec{F} = m\\vec{a}\n## ู ูุงุญุธุฉ\nููุชูุช ูู ุงูุตูุงุฉุ ููู ุง ุฃูุซุฑูุง ุงูุชูุชุ ูุฅุฐุง ุงููุจู ุตูู ุงููู ุนููู ูุณูู ูุงุฆู ุฎูููุ ูุฃุดุงุฑ ุฅููู ุงููุจู ุตูู ุงููู ุนููู ูุณูู ุฃู ูุตูู ูู ุง ูู ูููุต ุฅูู ูุฑุงุฆูุ ูุชูุฏู ุงููุจู\n\\nabla_{\\theta} J(\\theta) = \\frac{1}{m} X^T ( \\sigma(X \\theta) - Y )", | |
| "images": [], | |
| "tables": [], | |
| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 1010, | |
| "width": 758 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "\\prod_{t=1}^{n}", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
| "start_index": 16 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 19 | |
| }, | |
| { | |
| "text": "\\sigma_t)", | |
| "confidence": 1.0, | |
| "start_index": 21 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 31 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 33 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 35 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 38 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 44 | |
| }, | |
| { | |
| "text": "ุณุนุฏ", | |
| "confidence": 1.0, | |
| "start_index": 47 | |
| }, | |
| { | |
| "text": "ุงูุณุงุนุฏู\"", | |
| "confidence": 1.0, | |
| "start_index": 51 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 60 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 63 | |
| }, | |
| { | |
| "text": "ุญุงุฒู ", | |
| "confidence": 1.0, | |
| "start_index": 67 | |
| }, | |
| { | |
| "text": "ูุงู:", | |
| "confidence": 1.0, | |
| "start_index": 72 | |
| }, | |
| { | |
| "text": "\"ููุช", | |
| "confidence": 1.0, | |
| "start_index": 77 | |
| }, | |
| { | |
| "text": "ุนูุฏ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุณูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 90 | |
| }, | |
| { | |
| "text": "ุณุนุฏ", | |
| "confidence": 1.0, | |
| "start_index": 93 | |
| }, | |
| { | |
| "text": "ุงูุณุงุนุฏู", | |
| "confidence": 1.0, | |
| "start_index": 97 | |
| }, | |
| { | |
| "text": "ุฅุฐ", | |
| "confidence": 1.0, | |
| "start_index": 105 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูู:", | |
| "confidence": 1.0, | |
| "start_index": 112 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 116 | |
| }, | |
| { | |
| "text": "ุจูู", | |
| "confidence": 1.0, | |
| "start_index": 120 | |
| }, | |
| { | |
| "text": "ุจูู", | |
| "confidence": 1.0, | |
| "start_index": 124 | |
| }, | |
| { | |
| "text": "ุนู ุฑู", | |
| "confidence": 1.0, | |
| "start_index": 128 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 133 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 136 | |
| }, | |
| { | |
| "text": "ูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 140 | |
| }, | |
| { | |
| "text": "ูุจุงุก", | |
| "confidence": 1.0, | |
| "start_index": 145 | |
| }, | |
| { | |
| "text": "ุดูุก\"", | |
| "confidence": 1.0, | |
| "start_index": 150 | |
| }, | |
| { | |
| "text": "ููุงู:", | |
| "confidence": 1.0, | |
| "start_index": 155 | |
| }, | |
| { | |
| "text": "\"ูุฏูู ", | |
| "confidence": 1.0, | |
| "start_index": 161 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 167 | |
| }, | |
| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 171 | |
| }, | |
| { | |
| "text": "ููุง", | |
| "confidence": 1.0, | |
| "start_index": 175 | |
| }, | |
| { | |
| "text": "ุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 179 | |
| }, | |
| { | |
| "text": "ุฑุณูู", | |
| "confidence": 1.0, | |
| "start_index": 183 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 188 | |
| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 193 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 197 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 202 | |
| }, | |
| { | |
| "text": "ูุณูู ", | |
| "confidence": 1.0, | |
| "start_index": 207 | |
| }, | |
| { | |
| "text": "ุฅุฐ", | |
| "confidence": 1.0, | |
| "start_index": 212 | |
| }, | |
| { | |
| "text": "ุฌูุก", | |
| "confidence": 1.0, | |
| "start_index": 215 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูู:", | |
| "confidence": 1.0, | |
| "start_index": 224 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 228 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 232 | |
| }, | |
| { | |
| "text": "ุจูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 240 | |
| }, | |
| { | |
| "text": "ูุจุงุก", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุดูุกุ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุงูุทูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุงููุจู", | |
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| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 267 | |
| }, | |
| { | |
| "text": "\\iint_{D}", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "z^2", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\leq", | |
| "confidence": 1.0, | |
| "start_index": 285 | |
| }, | |
| { | |
| "text": "\\theta^2", | |
| "confidence": 1.0, | |
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| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 305 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ุจุฑููุฉ", | |
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| }, | |
| { | |
| "text": "ุงููู", | |
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| { | |
| "text": "ุนููู", | |
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| }, | |
| { | |
| "text": "ูุณูู ", | |
| "confidence": 1.0, | |
| "start_index": 331 | |
| }, | |
| { | |
| "text": "ุฅูููู ", | |
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| }, | |
| { | |
| "text": "ููุตูุญ", | |
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| }, | |
| { | |
| "text": "ุจูููู ุ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุฃุจุทุฃ", | |
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| { | |
| "text": "ุนูู", | |
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| }, | |
| { | |
| "text": "ุงููุงุณ\"", | |
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| }, | |
| { | |
| "text": "ููุงู", | |
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| { | |
| "text": "ุจูุงู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุฃุจู", | |
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| }, | |
| { | |
| "text": "ุจูุฑ:", | |
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| { | |
| "text": "\"ุฃูุง", | |
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| { | |
| "text": "ุฃููู ", | |
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| }, | |
| { | |
| "text": "ุงูุตูุงุฉุ", | |
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| { | |
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| { | |
| "text": "\"ู ุง", | |
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| { | |
| "text": "ูุฃูุงู ", | |
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| { | |
| "text": "ุจูุงู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ููุฏู ", | |
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| { | |
| "text": "ุงููุงุณ", | |
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| }, | |
| { | |
| "text": "ุฃุจุง", | |
| "confidence": 1.0, | |
| "start_index": 448 | |
| }, | |
| { | |
| "text": "ุจูุฑ", | |
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| }, | |
| { | |
| "text": "ูุจููุง", | |
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| { | |
| "text": "ูู", | |
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| }, | |
| { | |
| "text": "ูุตูู", | |
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| { | |
| "text": "ุฃูุจู", | |
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| { | |
| "text": "ุงููุจู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุงููู", | |
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| "text": "ุนููู", | |
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| { | |
| "text": "ูุณูู ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุฌุนู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุดู", | |
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| { | |
| "text": "ุงูุตููู", | |
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| }, | |
| { | |
| "text": "ุญุชู", | |
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| }, | |
| { | |
| "text": "ูุงู ", | |
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| }, | |
| { | |
| "text": "ุฎูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุจูุฑุ", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ูุฌุนููุง", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุตููููุ", | |
| "confidence": 1.0, | |
| "start_index": 544 | |
| }, | |
| { | |
| "text": "ููุงู", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
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| { | |
| "text": "\\prod_{\\sigma=1}^{n}", | |
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| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
| "start_index": 581 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 584 | |
| }, | |
| { | |
| "text": "y_\\sigma)", | |
| "confidence": 1.0, | |
| "start_index": 586 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 596 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 598 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 600 | |
| }, | |
| { | |
| "text": "\\frac{\\mu}{i^2}", | |
| "confidence": 1.0, | |
| "start_index": 602 | |
| }, | |
| { | |
| "text": "y_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 618 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 626 | |
| }, | |
| { | |
| "text": "y_n", | |
| "confidence": 1.0, | |
| "start_index": 628 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 632 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 634 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 641 | |
| }, | |
| { | |
| "text": "f(y_n)", | |
| "confidence": 1.0, | |
| "start_index": 648 | |
| }, | |
| { | |
| "text": "\\prod_{\\mu=1}^{n}", | |
| "confidence": 1.0, | |
| "start_index": 655 | |
| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
| "start_index": 673 | |
| }, | |
| { | |
| "text": "\\leq", | |
| "confidence": 1.0, | |
| "start_index": 676 | |
| }, | |
| { | |
| "text": "z_\\mu)", | |
| "confidence": 1.0, | |
| "start_index": 681 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 688 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 690 | |
| }, | |
| { | |
| "text": "\\vec{F}", | |
| "confidence": 1.0, | |
| "start_index": 692 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 700 | |
| }, | |
| { | |
| "text": "m\\vec{a}", | |
| "confidence": 1.0, | |
| "start_index": 702 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 711 | |
| }, | |
| { | |
| "text": "ู ูุงุญุธุฉ", | |
| "confidence": 1.0, | |
| "start_index": 714 | |
| }, | |
| { | |
| "text": "ููุชูุช", | |
| "confidence": 1.0, | |
| "start_index": 721 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 727 | |
| }, | |
| { | |
| "text": "ุงูุตูุงุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 730 | |
| }, | |
| { | |
| "text": "ููู ุง", | |
| "confidence": 1.0, | |
| "start_index": 738 | |
| }, | |
| { | |
| "text": "ุฃูุซุฑูุง", | |
| "confidence": 1.0, | |
| "start_index": 743 | |
| }, | |
| { | |
| "text": "ุงูุชูุชุ", | |
| "confidence": 1.0, | |
| "start_index": 750 | |
| }, | |
| { | |
| "text": "ูุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 757 | |
| }, | |
| { | |
| "text": "ุงููุจู", | |
| "confidence": 1.0, | |
| "start_index": 762 | |
| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 768 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 772 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 777 | |
| }, | |
| { | |
| "text": "ูุณูู ", | |
| "confidence": 1.0, | |
| "start_index": 782 | |
| }, | |
| { | |
| "text": "ูุงุฆู ", | |
| "confidence": 1.0, | |
| "start_index": 787 | |
| }, | |
| { | |
| "text": "ุฎูููุ", | |
| "confidence": 1.0, | |
| "start_index": 792 | |
| }, | |
| { | |
| "text": "ูุฃุดุงุฑ", | |
| "confidence": 1.0, | |
| "start_index": 798 | |
| }, | |
| { | |
| "text": "ุฅููู", | |
| "confidence": 1.0, | |
| "start_index": 804 | |
| }, | |
| { | |
| "text": "ุงููุจู", | |
| "confidence": 1.0, | |
| "start_index": 809 | |
| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 815 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 819 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 824 | |
| }, | |
| { | |
| "text": "ูุณูู ", | |
| "confidence": 1.0, | |
| "start_index": 829 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 834 | |
| }, | |
| { | |
| "text": "ูุตูู", | |
| "confidence": 1.0, | |
| "start_index": 837 | |
| }, | |
| { | |
| "text": "ูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 842 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 846 | |
| }, | |
| { | |
| "text": "ูููุต", | |
| "confidence": 1.0, | |
| "start_index": 849 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 854 | |
| }, | |
| { | |
| "text": "ูุฑุงุฆูุ", | |
| "confidence": 1.0, | |
| "start_index": 858 | |
| }, | |
| { | |
| "text": "ูุชูุฏู ", | |
| "confidence": 1.0, | |
| "start_index": 865 | |
| }, | |
| { | |
| "text": "ุงููุจู", | |
| "confidence": 1.0, | |
| "start_index": 871 | |
| }, | |
| { | |
| "text": "\\nabla_{\\theta}", | |
| "confidence": 1.0, | |
| "start_index": 877 | |
| }, | |
| { | |
| "text": "J(\\theta)", | |
| "confidence": 1.0, | |
| "start_index": 893 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 903 | |
| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 905 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
| "start_index": 917 | |
| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 921 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
| "start_index": 923 | |
| }, | |
| { | |
| "text": "\\theta)", | |
| "confidence": 1.0, | |
| "start_index": 932 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 940 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 942 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
| "start_index": 944 | |
| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
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| { | |
| "top_left_x": 40, | |
| "top_left_y": 46, | |
| "bottom_right_x": 718, | |
| "bottom_right_y": 121, | |
| "content": "\\prod_{t=1}^{n} (1 - \\sigma_t) = 0", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 1 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 139, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 161, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 2 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 166, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 234, | |
| "content": "ุจู ุณุนุฏ ุงูุณุงุนุฏู\" ุนู ุฃุจู ุญุงุฒู ูุงู: \"ููุช ุนูุฏ ุณูู ุจู ุณุนุฏ ุงูุณุงุนุฏู ุฅุฐ ููู ูู: ูุงู ุจูู ุจูู ุนู ุฑู ุจู ุนูู ูุฃูู ูุจุงุก ุดูุก\" ููุงู: \"ูุฏูู ูุงู ุฐูู ููุง ุนูุฏ ุฑุณูู ุงููู ุตูู ุงููู ุนููู ูุณูู ุฅุฐ ุฌูุก ูููู ูู: ุฅูู ูุงู ุจูู ุฃูู ูุจุงุก ุดูุกุ ูุงูุทูู ุงููุจู ุตูู", | |
| "type": "text", | |
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| { | |
| "top_left_x": 52, | |
| "top_left_y": 240, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 294, | |
| "content": "\\iint_{D} z^2 \\leq \\theta^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 338, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 360, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 365, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 432, | |
| "content": "ุงููู ุนููู ูุณูู ุฅูููู ููุตูุญ ุจูููู ุ ูุฃุจุทุฃ ุนูู ุงููุงุณ\" ููุงู ุจูุงู ูุฃุจู ุจูุฑ: \"ุฃูุง ุฃููู ุงูุตูุงุฉุ \" ูุงู: \"ู ุง ุดุฆุชุ ูุฃูุงู ุจูุงู ููุฏู ุงููุงุณ ุฃุจุง ุจูุฑ ูุจููุง ูู ูุตูู ุฃูุจู ุงููุจู ุตูู ุงููู ุนููู ูุณูู ูุฌุนู ูุดู ุงูุตููู ุญุชู ูุงู ุฎูู ุฃุจู ุจูุฑุ ูุฌุนููุง ูุตููููุ ููุงู ูุง", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 438, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 503, | |
| "content": "\\prod_{\\sigma=1}^{n} (1 = y_\\sigma) = 0 + \\frac{\\mu}{i^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 535, | |
| "bottom_right_x": 718, | |
| "bottom_right_y": 573, | |
| "content": "y_{n+1} = y_n - \\alpha \\nabla f(y_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 579, | |
| "bottom_right_x": 718, | |
| "bottom_right_y": 645, | |
| "content": "\\prod_{\\mu=1}^{n} (1 \\leq z_\\mu) = 0", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 651, | |
| "bottom_right_x": 718, | |
| "bottom_right_y": 695, | |
| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 713, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 735, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 740, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 785, | |
| "content": "ููุชูุช ูู ุงูุตูุงุฉุ ููู ุง ุฃูุซุฑูุง ุงูุชูุชุ ูุฅุฐุง ุงููุจู ุตูู ุงููู ุนููู ูุณูู ูุงุฆู ุฎูููุ ูุฃุดุงุฑ ุฅููู ุงููุจู ุตูู ุงููู ุนููู ูุณูู ุฃู ูุตูู ูู ุง ูู ูููุต ุฅูู ูุฑุงุฆูุ ูุชูุฏู ุงููุจู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 791, | |
| "bottom_right_x": 702, | |
| "bottom_right_y": 842, | |
| "content": "\\nabla_{\\theta} J(\\theta) = \\frac{1}{m} X^T ( \\sigma(X \\theta) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "badeen-display-sc.otf", | |
| "title_font": "falak.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |