Download data/MachineTwo_001/annotations/sample_0000026.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/main/data/MachineTwo_001/annotations/sample_0000026.json
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hf download hf://datasets/OCR-Data/ocr_dataset/data/MachineTwo_001/annotations/sample_0000026.json
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curl -L -o sample_0000026.json https://huggingface.co/datasets/OCR-Data/ocr_dataset/resolve/main/data/MachineTwo_001/annotations/sample_0000026.json
50.6 kB
| { | |
| "markdown": "\\frac{\\partial \\theta}{\\partial y} = \\lim_{h \\to 0} \\frac{\\sin(y + h) - \\sin(y)}{h}\n## ู ุจุฑููุฉ\nูุนู ุงูุบูุฑ ุฃู ูุญู ู ุนูู (ูููุง ุชูููููุฑู) ุ ููุณุงุฏู ูู ุงูู ุนูู. ูุฅู ูุงู ุฑุงุฌุนุงู ุฅูู (ุฃูุญูุฏู) ูู ููู (ููููุชูุนููููู ูููู) ุฃูุถุงู ุฌูุงุจุงู ููููู (ูููุง ุชูููููุฑู) ุ ูุฃู ุงูุชูุฏูุฑ: ูุง ููู ููุฑ ูุชุนูู . / ูุงูู ุนูู: ุฅู ููู ููุฑ ููู ุชุนูู ุ ููุฐุง ุบูุฑ ุตุญูุญุ ุฃูุง\n\\mathbb{E}[n] = \\int x f_n(x) dx\n\\sum_{j=0}^{N} \\frac{\\lambda^j}{j!} = e^{\\lambda}\n## ุจุฑูุงู\nุชุฑู ุฃูู ูุฌูุฒ ุฃู ูููุฑ ููุง ูุชุนูู ุ ูููุณ ุงูุฃูู ุณุจุจุงู ููุซุงููุ ูุฅุฐุง ูู ูุฌุฒ ุฐูู ูู ูุฎู ู ู ุฃุญุฏ ุฃู ุฑูู: ุฅู ุง ุฃู ุชุฌุนู ุงููุนู\n\\iint_{D} \\mu^2 \\cdot \\alpha^2 \\, dx \\, dy\n## ูุธุฑูุฉ\nู ุนุทููุงู ุจุงููุงุก ุนูู ูุนู ูุจูู ูุฅู ุง ุฃู ูุฌุนูู ุฎุจุฑุงู ูู ุจุชุฏุฃ ู ุญุฐูู. ูุงููุนู ุงูุฐู ูุจูู ูุง ูุฎูู ู ู ุฃู ูููู (ููููุฑููุง) ุฃู (ููุนููููู ูููู) ุฃู (ููุนููููู ุงูู) ุ ุฃู ูุนูุง ู ูุฏุฑุงู ู ุญุฐููุงู ู ู ุงูููุธุ ููู\n\\vec{F} = m\\vec{a}\n## ุชุนุฑูู\nยซูุฃุจููยป . ูุฅู ุนุทูุช ุนูู ยซููุฑูุงยป ุฌุงุฒุ ููููู ู ูุถุนู ุฑูุนุงู ูู ูุถุน ยซููุฑูุงยป . ูุฅู ุนุทูุช ุนูู (ููุนููููู ูููู ุงููููุงุณู) ููุชุนูู ููุ ุฌุงุฒ. ู (ููุนููููู ูููู ุงููููุงุณู) ูุฌูุฒ ุฃู ูููู ู ูุตูุจุงู ุนูู ุงูุญุงู ู ู ุงููุงู ูู (ููููุฑููุง) . ููุฌูุฒ ุฃู ูููู ุจุฏูุงู ุนู (ููููุฑููุง) ุ ูุฃู ุชุนููู ุงูุณุญุฑ ููุฑ.\n\\mathbb{E}[z] = \\int x f_z(x) dx + \\frac{\\beta}{\\mu^2}\n## ุชุนุฑูู\n5377 - [ู ุฏ ุณ] ุญุฏูุซ ููุช ุงูุธูุฑ ุฅุฐุง ุฒุงูุช ุงูุดู ุณ โฆ ุงูุญุฏูุซ. (2: 210ุ 223) ุนู ุนุจุฏ ุงูุตู ุฏ ูุนูุงูุ ุนู ูู ุงู ุ ุนู ูุชุงุฏุฉ ุนูู ุจู. (2: 213) ูุนู ูุญูู ุจู ุฃุจู ุจููุฑุ ุนู ุดุนุจุฉุ ุนู ูุชุงุฏุฉ ูุญูู. [ุชุญูุฉ 6: 388 - 389 ุญุฏูุซ 8946]\n\\theta_{n+1} = \\theta_n - \\alpha \\nabla f(\\theta_n)\n## ุจุฑูุงู\nูุฑุงุชููู ุจู ุงูุฃุณุนุฏ ุฃูุง ุฃุจู ู ุญู ุฏ ุงูุฌููุฑู ุฃูุง ุฃุจู ุงูุญุณู ุจู ูุคูุค ูุง ู ุญู ุฏ ุจู ุงูุญุณูู ุจู ุดูุฑูุงุฑ ูุง ุฃุจู ุญูุต ุงูููุงุณ ููุงู ูู ุงุช ุณุนูุฏ ุจู ุฒูุฏ ุจู\n\\sum_{\\mu=0}^{M} \\frac{t^\\mu}{\\mu!} = e^{t}", | |
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| { | |
| "text": "\\cdot", | |
| "confidence": 1.0, | |
| "start_index": 545 | |
| }, | |
| { | |
| "text": "\\alpha^2", | |
| "confidence": 1.0, | |
| "start_index": 551 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 560 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 563 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 566 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
| "start_index": 569 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 572 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 575 | |
| }, | |
| { | |
| "text": "ู ุนุทููุงู", | |
| "confidence": 1.0, | |
| "start_index": 581 | |
| }, | |
| { | |
| "text": "ุจุงููุงุก", | |
| "confidence": 1.0, | |
| "start_index": 589 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 596 | |
| }, | |
| { | |
| "text": "ูุนู", | |
| "confidence": 1.0, | |
| "start_index": 600 | |
| }, | |
| { | |
| "text": "ูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 604 | |
| }, | |
| { | |
| "text": "ูุฅู ุง", | |
| "confidence": 1.0, | |
| "start_index": 609 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 614 | |
| }, | |
| { | |
| "text": "ูุฌุนูู", | |
| "confidence": 1.0, | |
| "start_index": 617 | |
| }, | |
| { | |
| "text": "ุฎุจุฑุงู", | |
| "confidence": 1.0, | |
| "start_index": 623 | |
| }, | |
| { | |
| "text": "ูู ุจุชุฏุฃ", | |
| "confidence": 1.0, | |
| "start_index": 629 | |
| }, | |
| { | |
| "text": "ู ุญุฐูู.", | |
| "confidence": 1.0, | |
| "start_index": 636 | |
| }, | |
| { | |
| "text": "ูุงููุนู", | |
| "confidence": 1.0, | |
| "start_index": 643 | |
| }, | |
| { | |
| "text": "ุงูุฐู", | |
| "confidence": 1.0, | |
| "start_index": 650 | |
| }, | |
| { | |
| "text": "ูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 655 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 660 | |
| }, | |
| { | |
| "text": "ูุฎูู", | |
| "confidence": 1.0, | |
| "start_index": 663 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 668 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 671 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 674 | |
| }, | |
| { | |
| "text": "(ููููุฑููุง)", | |
| "confidence": 1.0, | |
| "start_index": 679 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 690 | |
| }, | |
| { | |
| "text": "(ููุนููููู ูููู)", | |
| "confidence": 1.0, | |
| "start_index": 693 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 708 | |
| }, | |
| { | |
| "text": "(ููุนููููู ุงูู)", | |
| "confidence": 1.0, | |
| "start_index": 711 | |
| }, | |
| { | |
| "text": "ุ", | |
| "confidence": 1.0, | |
| "start_index": 725 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 727 | |
| }, | |
| { | |
| "text": "ูุนูุง", | |
| "confidence": 1.0, | |
| "start_index": 730 | |
| }, | |
| { | |
| "text": "ู ูุฏุฑุงู", | |
| "confidence": 1.0, | |
| "start_index": 735 | |
| }, | |
| { | |
| "text": "ู ุญุฐููุงู", | |
| "confidence": 1.0, | |
| "start_index": 742 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 750 | |
| }, | |
| { | |
| "text": "ุงูููุธุ", | |
| "confidence": 1.0, | |
| "start_index": 753 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 760 | |
| }, | |
| { | |
| "text": "\\vec{F}", | |
| "confidence": 1.0, | |
| "start_index": 764 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 772 | |
| }, | |
| { | |
| "text": "m\\vec{a}", | |
| "confidence": 1.0, | |
| "start_index": 774 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 783 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 786 | |
| }, | |
| { | |
| "text": "ยซูุฃุจููยป", | |
| "confidence": 1.0, | |
| "start_index": 792 | |
| }, | |
| { | |
| "text": ".", | |
| "confidence": 1.0, | |
| "start_index": 800 | |
| }, | |
| { | |
| "text": "ูุฅู", | |
| "confidence": 1.0, | |
| "start_index": 802 | |
| }, | |
| { | |
| "text": "ุนุทูุช", | |
| "confidence": 1.0, | |
| "start_index": 806 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 811 | |
| }, | |
| { | |
| "text": "ยซููุฑูุงยป", | |
| "confidence": 1.0, | |
| "start_index": 815 | |
| }, | |
| { | |
| "text": "ุฌุงุฒุ", | |
| "confidence": 1.0, | |
| "start_index": 823 | |
| }, | |
| { | |
| "text": "ููููู", | |
| "confidence": 1.0, | |
| "start_index": 828 | |
| }, | |
| { | |
| "text": "ู ูุถุนู", | |
| "confidence": 1.0, | |
| "start_index": 834 | |
| }, | |
| { | |
| "text": "ุฑูุนุงู", | |
| "confidence": 1.0, | |
| "start_index": 840 | |
| }, | |
| { | |
| "text": "ูู ูุถุน", | |
| "confidence": 1.0, | |
| "start_index": 846 | |
| }, | |
| { | |
| "text": "ยซููุฑูุงยป", | |
| "confidence": 1.0, | |
| "start_index": 852 | |
| }, | |
| { | |
| "text": ".", | |
| "confidence": 1.0, | |
| "start_index": 860 | |
| }, | |
| { | |
| "text": "ูุฅู", | |
| "confidence": 1.0, | |
| "start_index": 862 | |
| }, | |
| { | |
| "text": "ุนุทูุช", | |
| "confidence": 1.0, | |
| "start_index": 866 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 871 | |
| }, | |
| { | |
| "text": "(ููุนููููู ูููู", | |
| "confidence": 1.0, | |
| "start_index": 875 | |
| }, | |
| { | |
| "text": "ุงููููุงุณู)", | |
| "confidence": 1.0, | |
| "start_index": 889 | |
| }, | |
| { | |
| "text": "ููุชุนูู ููุ", | |
| "confidence": 1.0, | |
| "start_index": 899 | |
| }, | |
| { | |
| "text": "ุฌุงุฒ.", | |
| "confidence": 1.0, | |
| "start_index": 909 | |
| }, | |
| { | |
| "text": "ู", | |
| "confidence": 1.0, | |
| "start_index": 914 | |
| }, | |
| { | |
| "text": "(ููุนููููู ูููู", | |
| "confidence": 1.0, | |
| "start_index": 916 | |
| }, | |
| { | |
| "text": "ุงููููุงุณู)", | |
| "confidence": 1.0, | |
| "start_index": 930 | |
| }, | |
| { | |
| "text": "ูุฌูุฒ", | |
| "confidence": 1.0, | |
| "start_index": 940 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 945 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 948 | |
| }, | |
| { | |
| "text": "ู ูุตูุจุงู", | |
| "confidence": 1.0, | |
| "start_index": 953 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 961 | |
| }, | |
| { | |
| "text": "ุงูุญุงู", | |
| "confidence": 1.0, | |
| "start_index": 965 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 971 | |
| }, | |
| { | |
| "text": "ุงููุงู", | |
| "confidence": 1.0, | |
| "start_index": 974 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 980 | |
| }, | |
| { | |
| "text": "(ููููุฑููุง)", | |
| "confidence": 1.0, | |
| "start_index": 983 | |
| }, | |
| { | |
| "text": ".", | |
| "confidence": 1.0, | |
| "start_index": 994 | |
| }, | |
| { | |
| "text": "ููุฌูุฒ", | |
| "confidence": 1.0, | |
| "start_index": 996 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 1002 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 1005 | |
| }, | |
| { | |
| "text": "ุจุฏูุงู", | |
| "confidence": 1.0, | |
| "start_index": 1010 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1016 | |
| }, | |
| { | |
| "text": "(ููููุฑููุง)", | |
| "confidence": 1.0, | |
| "start_index": 1019 | |
| }, | |
| { | |
| "text": "ุ", | |
| "confidence": 1.0, | |
| "start_index": 1030 | |
| }, | |
| { | |
| "text": "ูุฃู", | |
| "confidence": 1.0, | |
| "start_index": 1032 | |
| }, | |
| { | |
| "text": "ุชุนููู ", | |
| "confidence": 1.0, | |
| "start_index": 1036 | |
| }, | |
| { | |
| "text": "ุงูุณุญุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1042 | |
| }, | |
| { | |
| "text": "ููุฑ.", | |
| "confidence": 1.0, | |
| "start_index": 1048 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[z]", | |
| "confidence": 1.0, | |
| "start_index": 1053 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1067 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 1069 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 1074 | |
| }, | |
| { | |
| "text": "f_z(x)", | |
| "confidence": 1.0, | |
| "start_index": 1076 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 1083 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1086 | |
| }, | |
| { | |
| "text": "\\frac{\\beta}{\\mu^2}", | |
| "confidence": 1.0, | |
| "start_index": 1088 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1108 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 1111 | |
| }, | |
| { | |
| "text": "5377", | |
| "confidence": 1.0, | |
| "start_index": 1117 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1122 | |
| }, | |
| { | |
| "text": "[ู ", | |
| "confidence": 1.0, | |
| "start_index": 1124 | |
| }, | |
| { | |
| "text": "ุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1127 | |
| }, | |
| { | |
| "text": "ุณ]", | |
| "confidence": 1.0, | |
| "start_index": 1129 | |
| }, | |
| { | |
| "text": "ุญุฏูุซ", | |
| "confidence": 1.0, | |
| "start_index": 1132 | |
| }, | |
| { | |
| "text": "ููุช", | |
| "confidence": 1.0, | |
| "start_index": 1137 | |
| }, | |
| { | |
| "text": "ุงูุธูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1141 | |
| }, | |
| { | |
| "text": "ุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 1147 | |
| }, | |
| { | |
| "text": "ุฒุงูุช", | |
| "confidence": 1.0, | |
| "start_index": 1151 | |
| }, | |
| { | |
| "text": "ุงูุดู ุณ", | |
| "confidence": 1.0, | |
| "start_index": 1156 | |
| }, | |
| { | |
| "text": "โฆ", | |
| "confidence": 1.0, | |
| "start_index": 1162 | |
| }, | |
| { | |
| "text": "ุงูุญุฏูุซ.", | |
| "confidence": 1.0, | |
| "start_index": 1164 | |
| }, | |
| { | |
| "text": "(2:", | |
| "confidence": 1.0, | |
| "start_index": 1172 | |
| }, | |
| { | |
| "text": "210ุ", | |
| "confidence": 1.0, | |
| "start_index": 1176 | |
| }, | |
| { | |
| "text": "223)", | |
| "confidence": 1.0, | |
| "start_index": 1181 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1186 | |
| }, | |
| { | |
| "text": "ุนุจุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1189 | |
| }, | |
| { | |
| "text": "ุงูุตู ุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1193 | |
| }, | |
| { | |
| "text": "ูุนูุงูุ", | |
| "confidence": 1.0, | |
| "start_index": 1199 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1206 | |
| }, | |
| { | |
| "text": "ูู ุงู ุ", | |
| "confidence": 1.0, | |
| "start_index": 1209 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1215 | |
| }, | |
| { | |
| "text": "ูุชุงุฏุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1218 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 1224 | |
| }, | |
| { | |
| "text": "ุจู.", | |
| "confidence": 1.0, | |
| "start_index": 1228 | |
| }, | |
| { | |
| "text": "(2:", | |
| "confidence": 1.0, | |
| "start_index": 1232 | |
| }, | |
| { | |
| "text": "213)", | |
| "confidence": 1.0, | |
| "start_index": 1236 | |
| }, | |
| { | |
| "text": "ูุนู", | |
| "confidence": 1.0, | |
| "start_index": 1241 | |
| }, | |
| { | |
| "text": "ูุญูู", | |
| "confidence": 1.0, | |
| "start_index": 1245 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1250 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 1253 | |
| }, | |
| { | |
| "text": "ุจููุฑุ", | |
| "confidence": 1.0, | |
| "start_index": 1257 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1263 | |
| }, | |
| { | |
| "text": "ุดุนุจุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 1266 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1272 | |
| }, | |
| { | |
| "text": "ูุชุงุฏุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1275 | |
| }, | |
| { | |
| "text": "ูุญูู.", | |
| "confidence": 1.0, | |
| "start_index": 1281 | |
| }, | |
| { | |
| "text": "[ุชุญูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1287 | |
| }, | |
| { | |
| "text": "6:", | |
| "confidence": 1.0, | |
| "start_index": 1293 | |
| }, | |
| { | |
| "text": "388", | |
| "confidence": 1.0, | |
| "start_index": 1296 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1300 | |
| }, | |
| { | |
| "text": "389", | |
| "confidence": 1.0, | |
| "start_index": 1302 | |
| }, | |
| { | |
| "text": "ุญุฏูุซ", | |
| "confidence": 1.0, | |
| "start_index": 1306 | |
| }, | |
| { | |
| "text": "8946]", | |
| "confidence": 1.0, | |
| "start_index": 1311 | |
| }, | |
| { | |
| "text": "\\theta_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 1317 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1330 | |
| }, | |
| { | |
| "text": "\\theta_n", | |
| "confidence": 1.0, | |
| "start_index": 1332 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1341 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 1343 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 1350 | |
| }, | |
| { | |
| "text": "f(\\theta_n)", | |
| "confidence": 1.0, | |
| "start_index": 1357 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1369 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 1372 | |
| }, | |
| { | |
| "text": "ูุฑุงุชููู", | |
| "confidence": 1.0, | |
| "start_index": 1378 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1386 | |
| }, | |
| { | |
| "text": "ุงูุฃุณุนุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1389 | |
| }, | |
| { | |
| "text": "ุฃูุง", | |
| "confidence": 1.0, | |
| "start_index": 1396 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 1400 | |
| }, | |
| { | |
| "text": "ู ุญู ุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1404 | |
| }, | |
| { | |
| "text": "ุงูุฌููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 1409 | |
| }, | |
| { | |
| "text": "ุฃูุง", | |
| "confidence": 1.0, | |
| "start_index": 1417 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 1421 | |
| }, | |
| { | |
| "text": "ุงูุญุณู", | |
| "confidence": 1.0, | |
| "start_index": 1425 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1431 | |
| }, | |
| { | |
| "text": "ูุคูุค", | |
| "confidence": 1.0, | |
| "start_index": 1434 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 1439 | |
| }, | |
| { | |
| "text": "ู ุญู ุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1442 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1447 | |
| }, | |
| { | |
| "text": "ุงูุญุณูู", | |
| "confidence": 1.0, | |
| "start_index": 1450 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1457 | |
| }, | |
| { | |
| "text": "ุดูุฑูุงุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1460 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 1467 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 1470 | |
| }, | |
| { | |
| "text": "ุญูุต", | |
| "confidence": 1.0, | |
| "start_index": 1474 | |
| }, | |
| { | |
| "text": "ุงูููุงุณ", | |
| "confidence": 1.0, | |
| "start_index": 1478 | |
| }, | |
| { | |
| "text": "ููุงู", | |
| "confidence": 1.0, | |
| "start_index": 1485 | |
| }, | |
| { | |
| "text": "ูู ุงุช", | |
| "confidence": 1.0, | |
| "start_index": 1490 | |
| }, | |
| { | |
| "text": "ุณุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1495 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1500 | |
| }, | |
| { | |
| "text": "ุฒูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1503 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1507 | |
| }, | |
| { | |
| "text": "\\sum_{\\mu=0}^{M}", | |
| "confidence": 1.0, | |
| "start_index": 1510 | |
| }, | |
| { | |
| "text": "\\frac{t^\\mu}{\\mu!}", | |
| "confidence": 1.0, | |
| "start_index": 1527 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1546 | |
| }, | |
| { | |
| "text": "e^{t}", | |
| "confidence": 1.0, | |
| "start_index": 1548 | |
| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
| "blocks": [ | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 46, | |
| "bottom_right_x": 766, | |
| "bottom_right_y": 101, | |
| "content": "\\frac{\\partial \\theta}{\\partial y} = \\lim_{h \\to 0} \\frac{\\sin(y + h) - \\sin(y)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 1 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 119, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 149, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
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| }, | |
| { | |
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| "bottom_right_x": 750, | |
| "bottom_right_y": 199, | |
| "content": "ูุนู ุงูุบูุฑ ุฃู ูุญู ู ุนูู (ูููุง ุชูููููุฑู) ุ ููุณุงุฏู ูู ุงูู ุนูู. ูุฅู ูุงู ุฑุงุฌุนุงู ุฅูู (ุฃูุญูุฏู) ูู ููู (ููููุชูุนููููู ูููู) ุฃูุถุงู ุฌูุงุจุงู ููููู (ูููุง ุชูููููุฑู) ุ ูุฃู ุงูุชูุฏูุฑ: ูุง ููู ููุฑ ูุชุนูู . / ูุงูู ุนูู: ุฅู ููู ููุฑ ููู ุชุนูู ุ ููุฐุง ุบูุฑ ุตุญูุญุ ุฃูุง", | |
| "type": "text", | |
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| "top_left_y": 205, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 259, | |
| "content": "\\mathbb{E}[n] = \\int x f_n(x) dx", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 291, | |
| "bottom_right_x": 766, | |
| "bottom_right_y": 360, | |
| "content": "\\sum_{j=0}^{N} \\frac{\\lambda^j}{j!} = e^{\\lambda}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
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| "top_left_y": 378, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 408, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
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| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 413, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 435, | |
| "content": "ุชุฑู ุฃูู ูุฌูุฒ ุฃู ูููุฑ ููุง ูุชุนูู ุ ูููุณ ุงูุฃูู ุณุจุจุงู ููุซุงููุ ูุฅุฐุง ูู ูุฌุฒ ุฐูู ูู ูุฎู ู ู ุฃุญุฏ ุฃู ุฑูู: ุฅู ุง ุฃู ุชุฌุนู ุงููุนู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 441, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 496, | |
| "content": "\\iint_{D} \\mu^2 \\cdot \\alpha^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 540, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 570, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 575, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 620, | |
| "content": "ู ุนุทููุงู ุจุงููุงุก ุนูู ูุนู ูุจูู ูุฅู ุง ุฃู ูุฌุนูู ุฎุจุฑุงู ูู ุจุชุฏุฃ ู ุญุฐูู. ูุงููุนู ุงูุฐู ูุจูู ูุง ูุฎูู ู ู ุฃู ูููู (ููููุฑููุง) ุฃู (ููุนููููู ูููู) ุฃู (ููุนููููู ุงูู) ุ ุฃู ูุนูุง ู ูุฏุฑุงู ู ุญุฐููุงู ู ู ุงูููุธุ ููู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 626, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 664, | |
| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 708, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 738, | |
| "content": "ุชุนุฑูู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 743, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 788, | |
| "content": "ยซูุฃุจููยป . ูุฅู ุนุทูุช ุนูู ยซููุฑูุงยป ุฌุงุฒุ ููููู ู ูุถุนู ุฑูุนุงู ูู ูุถุน ยซููุฑูุงยป . ูุฅู ุนุทูุช ุนูู (ููุนููููู ูููู ุงููููุงุณู) ููุชุนูู ููุ ุฌุงุฒ. ู (ููุนููููู ูููู ุงููููุงุณู) ูุฌูุฒ ุฃู ูููู ู ูุตูุจุงู ุนูู ุงูุญุงู ู ู ุงููุงู ูู (ููููุฑููุง) . ููุฌูุฒ ุฃู ูููู ุจุฏูุงู ุนู (ููููุฑููุง) ุ ูุฃู ุชุนููู ุงูุณุญุฑ ููุฑ.", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 794, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 848, | |
| "content": "\\mathbb{E}[z] = \\int x f_z(x) dx + \\frac{\\beta}{\\mu^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 892, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 922, | |
| "content": "ุชุนุฑูู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 927, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 972, | |
| "content": "5377 - [ู ุฏ ุณ] ุญุฏูุซ ููุช ุงูุธูุฑ ุฅุฐุง ุฒุงูุช ุงูุดู ุณ โฆ ุงูุญุฏูุซ. (2: 210ุ 223) ุนู ุนุจุฏ ุงูุตู ุฏ ูุนูุงูุ ุนู ูู ุงู ุ ุนู ูุชุงุฏุฉ ุนูู ุจู. (2: 213) ูุนู ูุญูู ุจู ุฃุจู ุจููุฑุ ุนู ุดุนุจุฉุ ุนู ูุชุงุฏุฉ ูุญูู. [ุชุญูุฉ 6: 388 - 389 ุญุฏูุซ 8946]", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 978, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 1017, | |
| "content": "\\theta_{n+1} = \\theta_n - \\alpha \\nabla f(\\theta_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1061, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 1091, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 18 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1096, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 1140, | |
| "content": "ูุฑุงุชููู ุจู ุงูุฃุณุนุฏ ุฃูุง ุฃุจู ู ุญู ุฏ ุงูุฌููุฑู ุฃูุง ุฃุจู ุงูุญุณู ุจู ูุคูุค ูุง ู ุญู ุฏ ุจู ุงูุญุณูู ุจู ุดูุฑูุงุฑ ูุง ุฃุจู ุญูุต ุงูููุงุณ ููุงู ูู ุงุช ุณุนูุฏ ุจู ุฒูุฏ ุจู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 19 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1146, | |
| "bottom_right_x": 750, | |
| "bottom_right_y": 1215, | |
| "content": "\\sum_{\\mu=0}^{M} \\frac{t^\\mu}{\\mu!} = e^{t}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 20 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "paktype-naqsh.ttf", | |
| "title_font": "paktype-naqsh.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |