Download data/run_test_2_002/annotations/sample_0000238.json from OCR-Data/dataset: direct link, hf CLI and curl.
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curl -L -o sample_0000238.json https://huggingface.co/datasets/OCR-Data/dataset/resolve/main/data/run_test_2_002/annotations/sample_0000238.json
50.5 kB
| { | |
| "markdown": "\\frac{\\partial n}{\\partial t} = \\lim_{h \\to 0} \\frac{\\sin(t + h) - \\sin(t)}{h}\n## ู ุจุฑููุฉ\nุฃู ููุชุตุฑ ูู ุงูููุตู ุนูู ู ูุฑุฏูุ ูู ููู ุนูุฏ ุฃุจู ููุณู ุฑุญู ู ุงููู ููุชุตุฑ ูู ุงูููุตู ุนูู ู ูุฑุฏูุ ูุฃููู ู ุฎุตูุต ู ู ุงูููุงุณ ุจุงูููุตู. ูุฃููุงุฏ ุงูุฃุฎูุฉ ูุฃู ู ููุณูุง ูู ู ุนูู ุงูุขุจุงุกุ ูุฃูููู ูุง ูุฑุซูู ุจุงููุฑุถููุฉ ุดูุฆุงู. ูู ููุง: ุฃูู ุงูู ุดุชุฑู ููุฌุงุฑูุฉ ุงูู ุณุชุญููุฉ\n\\iint_{D} \\mu^2 - \\mu^2 \\, dx \\, dy\n\\frac{\\partial \\mu}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\min(\\alpha + h) - \\min(\\alpha)}{h}\n\\lambda_{n+1} = \\lambda_n - \\alpha \\nabla f(\\lambda_n)\n## ุจุฑูุงู\nูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ุงุณุชููุฏูุง ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจููู ุฉ ุงูููุฏุ ููุฐุง ูู ุงูู ุฎุตูุต ู ู ุงูููุงุณ ุจุงุชููุงู ุงูุตูุญุงุจุฉ. ููู ุฅุฐุง ูุทุฆ\n\\nabla_{z} J(z) = \\frac{1}{m} X^T ( \\sigma(X z) - Y )\n## ูุธุฑูุฉ\nุงูู ุดุชุฑู ุงูุฌุงุฑูุฉ ููุฌุจ ุนููู ู ูุฑูุง ูู ุณุชุญูููุงุ ูููุถู ุจูุง ูู ุณุชุญูููุง ุฃูุถุงูุ ูุงูู ุดุชุฑู ูุนูุฏ ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ูุง ูุนูุฏ ุนููู ุจุงูู ูุฑุ ูุฃูู ุงูู ูุฑ ุฅููู ุง ูุฒู ู ุนูุถุงู ุนู ูุง ุงุณุชููู ุจุงููุทุก ููุง ูุฑุฌุน ุจุจุฏูู ุนูู ุบูุฑู. ููุง ููุงุณ ุนูู ููุฏ ุงูุฌุงุฑูุฉ ุงูู ุณุชููุฏุฉ. ูููู ุนูุฏ ุงุจู ุฃุจู ูููู ุฅูู ุงูู ุดุชุฑู ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ู ูุจุงูู ูุฑ ูููู ุฉ ุงูููุฏ ุฎูุงูุงู ููุญููููุฉ ูู\n\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y ) + \\frac{k}{\\sigma^2}\n## ุจุฑูุงู\nุงูู ูุฑ. ูู ููุง: ุฑุฌู ุชุณุญูุฑ ูู ุดูุฑ ุฑู ุถุงู ููุฏ ุทูุน ุงููุฌุฑ - ููู ูุง ูุนูู ุจู - ูุนูุฏ ุงูุญููููุฉ ูุณุฏ ุตูู ูุ ูุนูุฏ ุงุจู ุฃุจู ูููู ุตุญู ุตูู ู ููุงุณุงู ุนูู ุงูููุงุณู. ูุนูุฏ ุงูุญูููุฉ: ุฅูู ุงูู ุฎุทุฆ ููุณ ูุงูููุงุณูุ ูุฃูู\n\\int_{1}^{M} \\cos(\\sigma) \\, d\\sigma = \\beta^2 - C\nj_{n+1} = j_n - \\alpha \\nabla f(j_n)\n## ูุธุฑูุฉ\nุงูููุงุณ ุจุงูููุตู. ูุฃููุงุฏ ุงูุฃุฎูุฉ ูุฃู ู ููุณูุง ูู ู ุนูู ุงูุขุจุงุกุ ูุฃูููู ูุง ูุฑุซูู ุจุงููุฑุถููุฉ ุดูุฆุงู. ูู ููุง: ุฃูู ุงูู ุดุชุฑู ููุฌุงุฑูุฉ ุงูู ุณุชุญููุฉ ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ุงุณุชููุฏูุง ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจููู ุฉ\nx_{n+1} = x_n - \\alpha \\nabla f(x_n) + \\frac{n}{\\mu^2}", | |
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| }, | |
| { | |
| "text": "ุจููู ุฉ", | |
| "confidence": 1.0, | |
| "start_index": 568 | |
| }, | |
| { | |
| "text": "ุงูููุฏุ", | |
| "confidence": 1.0, | |
| "start_index": 574 | |
| }, | |
| { | |
| "text": "ููุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 581 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 586 | |
| }, | |
| { | |
| "text": "ุงูู ุฎุตูุต", | |
| "confidence": 1.0, | |
| "start_index": 589 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 597 | |
| }, | |
| { | |
| "text": "ุงูููุงุณ", | |
| "confidence": 1.0, | |
| "start_index": 600 | |
| }, | |
| { | |
| "text": "ุจุงุชููุงู", | |
| "confidence": 1.0, | |
| "start_index": 607 | |
| }, | |
| { | |
| "text": "ุงูุตูุญุงุจุฉ.", | |
| "confidence": 1.0, | |
| "start_index": 615 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 625 | |
| }, | |
| { | |
| "text": "ุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 629 | |
| }, | |
| { | |
| "text": "ูุทุฆ", | |
| "confidence": 1.0, | |
| "start_index": 633 | |
| }, | |
| { | |
| "text": "\\nabla_{z}", | |
| "confidence": 1.0, | |
| "start_index": 637 | |
| }, | |
| { | |
| "text": "J(z)", | |
| "confidence": 1.0, | |
| "start_index": 648 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 653 | |
| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 655 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
| "start_index": 667 | |
| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 671 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
| "start_index": 673 | |
| }, | |
| { | |
| "text": "z)", | |
| "confidence": 1.0, | |
| "start_index": 682 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 685 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 687 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
| "start_index": 689 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 691 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 694 | |
| }, | |
| { | |
| "text": "ุงูู ุดุชุฑู", | |
| "confidence": 1.0, | |
| "start_index": 700 | |
| }, | |
| { | |
| "text": "ุงูุฌุงุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 708 | |
| }, | |
| { | |
| "text": "ููุฌุจ", | |
| "confidence": 1.0, | |
| "start_index": 716 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 721 | |
| }, | |
| { | |
| "text": "ู ูุฑูุง", | |
| "confidence": 1.0, | |
| "start_index": 726 | |
| }, | |
| { | |
| "text": "ูู ุณุชุญูููุงุ", | |
| "confidence": 1.0, | |
| "start_index": 732 | |
| }, | |
| { | |
| "text": "ูููุถู", | |
| "confidence": 1.0, | |
| "start_index": 743 | |
| }, | |
| { | |
| "text": "ุจูุง", | |
| "confidence": 1.0, | |
| "start_index": 749 | |
| }, | |
| { | |
| "text": "ูู ุณุชุญูููุง", | |
| "confidence": 1.0, | |
| "start_index": 753 | |
| }, | |
| { | |
| "text": "ุฃูุถุงูุ", | |
| "confidence": 1.0, | |
| "start_index": 763 | |
| }, | |
| { | |
| "text": "ูุงูู ุดุชุฑู", | |
| "confidence": 1.0, | |
| "start_index": 770 | |
| }, | |
| { | |
| "text": "ูุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 779 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 784 | |
| }, | |
| { | |
| "text": "ุงูุจุงุฆุน", | |
| "confidence": 1.0, | |
| "start_index": 788 | |
| }, | |
| { | |
| "text": "ุจุงูุซูู ูุ", | |
| "confidence": 1.0, | |
| "start_index": 795 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 804 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 808 | |
| }, | |
| { | |
| "text": "ูุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 811 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 816 | |
| }, | |
| { | |
| "text": "ุจุงูู ูุฑุ", | |
| "confidence": 1.0, | |
| "start_index": 821 | |
| }, | |
| { | |
| "text": "ูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 829 | |
| }, | |
| { | |
| "text": "ุงูู ูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 834 | |
| }, | |
| { | |
| "text": "ุฅููู ุง", | |
| "confidence": 1.0, | |
| "start_index": 840 | |
| }, | |
| { | |
| "text": "ูุฒู ู", | |
| "confidence": 1.0, | |
| "start_index": 846 | |
| }, | |
| { | |
| "text": "ุนูุถุงู", | |
| "confidence": 1.0, | |
| "start_index": 851 | |
| }, | |
| { | |
| "text": "ุนู ูุง", | |
| "confidence": 1.0, | |
| "start_index": 857 | |
| }, | |
| { | |
| "text": "ุงุณุชููู", | |
| "confidence": 1.0, | |
| "start_index": 862 | |
| }, | |
| { | |
| "text": "ุจุงููุทุก", | |
| "confidence": 1.0, | |
| "start_index": 869 | |
| }, | |
| { | |
| "text": "ููุง", | |
| "confidence": 1.0, | |
| "start_index": 876 | |
| }, | |
| { | |
| "text": "ูุฑุฌุน", | |
| "confidence": 1.0, | |
| "start_index": 880 | |
| }, | |
| { | |
| "text": "ุจุจุฏูู", | |
| "confidence": 1.0, | |
| "start_index": 885 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 891 | |
| }, | |
| { | |
| "text": "ุบูุฑู.", | |
| "confidence": 1.0, | |
| "start_index": 895 | |
| }, | |
| { | |
| "text": "ููุง", | |
| "confidence": 1.0, | |
| "start_index": 901 | |
| }, | |
| { | |
| "text": "ููุงุณ", | |
| "confidence": 1.0, | |
| "start_index": 905 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 910 | |
| }, | |
| { | |
| "text": "ููุฏ", | |
| "confidence": 1.0, | |
| "start_index": 914 | |
| }, | |
| { | |
| "text": "ุงูุฌุงุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 918 | |
| }, | |
| { | |
| "text": "ุงูู ุณุชููุฏุฉ.", | |
| "confidence": 1.0, | |
| "start_index": 926 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 937 | |
| }, | |
| { | |
| "text": "ุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 942 | |
| }, | |
| { | |
| "text": "ุงุจู", | |
| "confidence": 1.0, | |
| "start_index": 946 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 950 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 954 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 959 | |
| }, | |
| { | |
| "text": "ุงูู ุดุชุฑู", | |
| "confidence": 1.0, | |
| "start_index": 963 | |
| }, | |
| { | |
| "text": "ูุฑุฌุน", | |
| "confidence": 1.0, | |
| "start_index": 971 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 976 | |
| }, | |
| { | |
| "text": "ุงูุจุงุฆุน", | |
| "confidence": 1.0, | |
| "start_index": 980 | |
| }, | |
| { | |
| "text": "ุจุงูุซูู ู", | |
| "confidence": 1.0, | |
| "start_index": 987 | |
| }, | |
| { | |
| "text": "ูุจุงูู ูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 995 | |
| }, | |
| { | |
| "text": "ูููู ุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1003 | |
| }, | |
| { | |
| "text": "ุงูููุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1009 | |
| }, | |
| { | |
| "text": "ุฎูุงูุงู", | |
| "confidence": 1.0, | |
| "start_index": 1015 | |
| }, | |
| { | |
| "text": "ููุญููููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1022 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 1031 | |
| }, | |
| { | |
| "text": "\\nabla_{j}", | |
| "confidence": 1.0, | |
| "start_index": 1034 | |
| }, | |
| { | |
| "text": "J(j)", | |
| "confidence": 1.0, | |
| "start_index": 1045 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1050 | |
| }, | |
| { | |
| "text": "\\frac{1}{m}", | |
| "confidence": 1.0, | |
| "start_index": 1052 | |
| }, | |
| { | |
| "text": "X^T", | |
| "confidence": 1.0, | |
| "start_index": 1064 | |
| }, | |
| { | |
| "text": "(", | |
| "confidence": 1.0, | |
| "start_index": 1068 | |
| }, | |
| { | |
| "text": "\\sigma(X", | |
| "confidence": 1.0, | |
| "start_index": 1070 | |
| }, | |
| { | |
| "text": "j)", | |
| "confidence": 1.0, | |
| "start_index": 1079 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1082 | |
| }, | |
| { | |
| "text": "Y", | |
| "confidence": 1.0, | |
| "start_index": 1084 | |
| }, | |
| { | |
| "text": ")", | |
| "confidence": 1.0, | |
| "start_index": 1086 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1088 | |
| }, | |
| { | |
| "text": "\\frac{k}{\\sigma^2}", | |
| "confidence": 1.0, | |
| "start_index": 1090 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1109 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 1112 | |
| }, | |
| { | |
| "text": "ุงูู ูุฑ.", | |
| "confidence": 1.0, | |
| "start_index": 1118 | |
| }, | |
| { | |
| "text": "ูู ููุง:", | |
| "confidence": 1.0, | |
| "start_index": 1125 | |
| }, | |
| { | |
| "text": "ุฑุฌู", | |
| "confidence": 1.0, | |
| "start_index": 1132 | |
| }, | |
| { | |
| "text": "ุชุณุญูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1136 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 1142 | |
| }, | |
| { | |
| "text": "ุดูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1145 | |
| }, | |
| { | |
| "text": "ุฑู ุถุงู", | |
| "confidence": 1.0, | |
| "start_index": 1149 | |
| }, | |
| { | |
| "text": "ููุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1155 | |
| }, | |
| { | |
| "text": "ุทูุน", | |
| "confidence": 1.0, | |
| "start_index": 1159 | |
| }, | |
| { | |
| "text": "ุงููุฌุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1163 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1169 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 1171 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 1175 | |
| }, | |
| { | |
| "text": "ูุนูู ", | |
| "confidence": 1.0, | |
| "start_index": 1178 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1183 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1186 | |
| }, | |
| { | |
| "text": "ูุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1188 | |
| }, | |
| { | |
| "text": "ุงูุญููููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1193 | |
| }, | |
| { | |
| "text": "ูุณุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1202 | |
| }, | |
| { | |
| "text": "ุตูู ูุ", | |
| "confidence": 1.0, | |
| "start_index": 1206 | |
| }, | |
| { | |
| "text": "ูุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1212 | |
| }, | |
| { | |
| "text": "ุงุจู", | |
| "confidence": 1.0, | |
| "start_index": 1217 | |
| }, | |
| { | |
| "text": "ุฃุจู", | |
| "confidence": 1.0, | |
| "start_index": 1221 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 1225 | |
| }, | |
| { | |
| "text": "ุตุญู", | |
| "confidence": 1.0, | |
| "start_index": 1230 | |
| }, | |
| { | |
| "text": "ุตูู ู", | |
| "confidence": 1.0, | |
| "start_index": 1234 | |
| }, | |
| { | |
| "text": "ููุงุณุงู", | |
| "confidence": 1.0, | |
| "start_index": 1239 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 1246 | |
| }, | |
| { | |
| "text": "ุงูููุงุณู.", | |
| "confidence": 1.0, | |
| "start_index": 1250 | |
| }, | |
| { | |
| "text": "ูุนูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1259 | |
| }, | |
| { | |
| "text": "ุงูุญูููุฉ:", | |
| "confidence": 1.0, | |
| "start_index": 1264 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 1273 | |
| }, | |
| { | |
| "text": "ุงูู ุฎุทุฆ", | |
| "confidence": 1.0, | |
| "start_index": 1277 | |
| }, | |
| { | |
| "text": "ููุณ", | |
| "confidence": 1.0, | |
| "start_index": 1284 | |
| }, | |
| { | |
| "text": "ูุงูููุงุณูุ", | |
| "confidence": 1.0, | |
| "start_index": 1288 | |
| }, | |
| { | |
| "text": "ูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 1298 | |
| }, | |
| { | |
| "text": "\\int_{1}^{M}", | |
| "confidence": 1.0, | |
| "start_index": 1303 | |
| }, | |
| { | |
| "text": "\\cos(\\sigma)", | |
| "confidence": 1.0, | |
| "start_index": 1316 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 1329 | |
| }, | |
| { | |
| "text": "d\\sigma", | |
| "confidence": 1.0, | |
| "start_index": 1332 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1340 | |
| }, | |
| { | |
| "text": "\\beta^2", | |
| "confidence": 1.0, | |
| "start_index": 1342 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1350 | |
| }, | |
| { | |
| "text": "C", | |
| "confidence": 1.0, | |
| "start_index": 1352 | |
| }, | |
| { | |
| "text": "j_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 1354 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1362 | |
| }, | |
| { | |
| "text": "j_n", | |
| "confidence": 1.0, | |
| "start_index": 1364 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1368 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 1370 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 1377 | |
| }, | |
| { | |
| "text": "f(j_n)", | |
| "confidence": 1.0, | |
| "start_index": 1384 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1391 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1394 | |
| }, | |
| { | |
| "text": "ุงูููุงุณ", | |
| "confidence": 1.0, | |
| "start_index": 1400 | |
| }, | |
| { | |
| "text": "ุจุงูููุตู.", | |
| "confidence": 1.0, | |
| "start_index": 1407 | |
| }, | |
| { | |
| "text": "ูุฃููุงุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1416 | |
| }, | |
| { | |
| "text": "ุงูุฃุฎูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1423 | |
| }, | |
| { | |
| "text": "ูุฃู ู", | |
| "confidence": 1.0, | |
| "start_index": 1430 | |
| }, | |
| { | |
| "text": "ููุณูุง", | |
| "confidence": 1.0, | |
| "start_index": 1435 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 1441 | |
| }, | |
| { | |
| "text": "ู ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 1444 | |
| }, | |
| { | |
| "text": "ุงูุขุจุงุกุ", | |
| "confidence": 1.0, | |
| "start_index": 1449 | |
| }, | |
| { | |
| "text": "ูุฃูููู ", | |
| "confidence": 1.0, | |
| "start_index": 1457 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 1464 | |
| }, | |
| { | |
| "text": "ูุฑุซูู", | |
| "confidence": 1.0, | |
| "start_index": 1467 | |
| }, | |
| { | |
| "text": "ุจุงููุฑุถููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1473 | |
| }, | |
| { | |
| "text": "ุดูุฆุงู.", | |
| "confidence": 1.0, | |
| "start_index": 1483 | |
| }, | |
| { | |
| "text": "ูู ููุง:", | |
| "confidence": 1.0, | |
| "start_index": 1490 | |
| }, | |
| { | |
| "text": "ุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 1497 | |
| }, | |
| { | |
| "text": "ุงูู ุดุชุฑู", | |
| "confidence": 1.0, | |
| "start_index": 1501 | |
| }, | |
| { | |
| "text": "ููุฌุงุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1509 | |
| }, | |
| { | |
| "text": "ุงูู ุณุชุญููุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1517 | |
| }, | |
| { | |
| "text": "ูุฑุฌุน", | |
| "confidence": 1.0, | |
| "start_index": 1527 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 1532 | |
| }, | |
| { | |
| "text": "ุงูุจุงุฆุน", | |
| "confidence": 1.0, | |
| "start_index": 1536 | |
| }, | |
| { | |
| "text": "ุจุงูุซูู ูุ", | |
| "confidence": 1.0, | |
| "start_index": 1543 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 1552 | |
| }, | |
| { | |
| "text": "ุงุณุชููุฏูุง", | |
| "confidence": 1.0, | |
| "start_index": 1556 | |
| }, | |
| { | |
| "text": "ูุฑุฌุน", | |
| "confidence": 1.0, | |
| "start_index": 1565 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 1570 | |
| }, | |
| { | |
| "text": "ุงูุจุงุฆุน", | |
| "confidence": 1.0, | |
| "start_index": 1574 | |
| }, | |
| { | |
| "text": "ุจููู ุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1581 | |
| }, | |
| { | |
| "text": "x_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 1587 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1595 | |
| }, | |
| { | |
| "text": "x_n", | |
| "confidence": 1.0, | |
| "start_index": 1597 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1601 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 1603 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 1610 | |
| }, | |
| { | |
| "text": "f(x_n)", | |
| "confidence": 1.0, | |
| "start_index": 1617 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1624 | |
| }, | |
| { | |
| "text": "\\frac{n}{\\mu^2}", | |
| "confidence": 1.0, | |
| "start_index": 1626 | |
| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
| "blocks": [ | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 46, | |
| "bottom_right_x": 737, | |
| "bottom_right_y": 99, | |
| "content": "\\frac{\\partial n}{\\partial t} = \\lim_{h \\to 0} \\frac{\\sin(t + h) - \\sin(t)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 1 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "bottom_right_x": 721, | |
| "bottom_right_y": 146, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 2 | |
| }, | |
| { | |
| "top_left_x": 52, | |
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| "bottom_right_x": 721, | |
| "bottom_right_y": 196, | |
| "content": "ุฃู ููุชุตุฑ ูู ุงูููุตู ุนูู ู ูุฑุฏูุ ูู ููู ุนูุฏ ุฃุจู ููุณู ุฑุญู ู ุงููู ููุชุตุฑ ูู ุงูููุตู ุนูู ู ูุฑุฏูุ ูุฃููู ู ุฎุตูุต ู ู ุงูููุงุณ ุจุงูููุตู. ูุฃููุงุฏ ุงูุฃุฎูุฉ ูุฃู ู ููุณูุง ูู ู ุนูู ุงูุขุจุงุกุ ูุฃูููู ูุง ูุฑุซูู ุจุงููุฑุถููุฉ ุดูุฆุงู. ูู ููุง: ุฃูู ุงูู ุดุชุฑู ููุฌุงุฑูุฉ ุงูู ุณุชุญููุฉ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 3 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 202, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 256, | |
| "content": "\\iint_{D} \\mu^2 - \\mu^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 288, | |
| "bottom_right_x": 737, | |
| "bottom_right_y": 344, | |
| "content": "\\frac{\\partial \\mu}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\min(\\alpha + h) - \\min(\\alpha)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 350, | |
| "bottom_right_x": 737, | |
| "bottom_right_y": 388, | |
| "content": "\\lambda_{n+1} = \\lambda_n - \\alpha \\nabla f(\\lambda_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 406, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 435, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 440, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 462, | |
| "content": "ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ุงุณุชููุฏูุง ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจููู ุฉ ุงูููุฏุ ููุฐุง ูู ุงูู ุฎุตูุต ู ู ุงูููุงุณ ุจุงุชููุงู ุงูุตูุญุงุจุฉ. ููู ุฅุฐุง ูุทุฆ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 468, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 519, | |
| "content": "\\nabla_{z} J(z) = \\frac{1}{m} X^T ( \\sigma(X z) - Y )", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 563, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 592, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 597, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 664, | |
| "content": "ุงูู ุดุชุฑู ุงูุฌุงุฑูุฉ ููุฌุจ ุนููู ู ูุฑูุง ูู ุณุชุญูููุงุ ูููุถู ุจูุง ูู ุณุชุญูููุง ุฃูุถุงูุ ูุงูู ุดุชุฑู ูุนูุฏ ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ูุง ูุนูุฏ ุนููู ุจุงูู ูุฑุ ูุฃูู ุงูู ูุฑ ุฅููู ุง ูุฒู ู ุนูุถุงู ุนู ูุง ุงุณุชููู ุจุงููุทุก ููุง ูุฑุฌุน ุจุจุฏูู ุนูู ุบูุฑู. ููุง ููุงุณ ุนูู ููุฏ ุงูุฌุงุฑูุฉ ุงูู ุณุชููุฏุฉ. ูููู ุนูุฏ ุงุจู ุฃุจู ูููู ุฅูู ุงูู ุดุชุฑู ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ู ูุจุงูู ูุฑ ูููู ุฉ ุงูููุฏ ุฎูุงูุงู ููุญููููุฉ ูู", | |
| "type": "text", | |
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| "reading_index": 11 | |
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| { | |
| "top_left_x": 52, | |
| "top_left_y": 670, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 720, | |
| "content": "\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y ) + \\frac{k}{\\sigma^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 764, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 793, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 798, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 842, | |
| "content": "ุงูู ูุฑ. ูู ููุง: ุฑุฌู ุชุณุญูุฑ ูู ุดูุฑ ุฑู ุถุงู ููุฏ ุทูุน ุงููุฌุฑ - ููู ูุง ูุนูู ุจู - ูุนูุฏ ุงูุญููููุฉ ูุณุฏ ุตูู ูุ ูุนูุฏ ุงุจู ุฃุจู ูููู ุตุญู ุตูู ู ููุงุณุงู ุนูู ุงูููุงุณู. ูุนูุฏ ุงูุญูููุฉ: ุฅูู ุงูู ุฎุทุฆ ููุณ ูุงูููุงุณูุ ูุฃูู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 848, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 906, | |
| "content": "\\int_{1}^{M} \\cos(\\sigma) \\, d\\sigma = \\beta^2 - C", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 938, | |
| "bottom_right_x": 737, | |
| "bottom_right_y": 979, | |
| "content": "j_{n+1} = j_n - \\alpha \\nabla f(j_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 997, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 1026, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1031, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 1076, | |
| "content": "ุงูููุงุณ ุจุงูููุตู. ูุฃููุงุฏ ุงูุฃุฎูุฉ ูุฃู ู ููุณูุง ูู ู ุนูู ุงูุขุจุงุกุ ูุฃูููู ูุง ูุฑุซูู ุจุงููุฑุถููุฉ ุดูุฆุงู. ูู ููุง: ุฃูู ุงูู ุดุชุฑู ููุฌุงุฑูุฉ ุงูู ุณุชุญููุฉ ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจุงูุซูู ูุ ููู ุงุณุชููุฏูุง ูุฑุฌุน ุนูู ุงูุจุงุฆุน ุจููู ุฉ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 18 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1082, | |
| "bottom_right_x": 721, | |
| "bottom_right_y": 1132, | |
| "content": "x_{n+1} = x_n - \\alpha \\nabla f(x_n) + \\frac{n}{\\mu^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 19 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "b-setareh.ttf", | |
| "title_font": "b-sepideh-outline.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |