Download data/run_test_2_002/annotations/sample_0000210.json from OCR-Data/dataset: direct link, hf CLI and curl.
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39.5 kB
| { | |
| "markdown": "\\prod_{\\mu=1}^{n} (1 \\times z_\\mu) = 0 + \\frac{\\theta}{\\lambda^2}\n\\frac{\\partial i}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\sin(\\beta + h) - \\sin(\\beta)}{h}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ุจุฑูุงู\nูุดูุท ุงูู ุฎุฒูู ูุ ู ููุงูู ุ ุฃุจู ุงูุญุณูุ ุงููููููููุ ุซู ุงูู ุตุฑูุ ุงูู ุนุฑูู ุจุนูุงู . โข ูุงู ุงูุณููููู ูููู: ูุงู ุงูุฏููุงุฑูููุทููููู: ุนุจุฏ ุงููู ุจู ู ุญู ุฏ ุจู ุงูู ุบูุฑุฉุ ููู ุฃุฎ ููุงู ูู ุนุจุฏ ุงูุฑุญู ู ุญุฏุซ ุนูู ุณุนูุฏ ุจู ู ูุตูุฑุ ููุนุจุฏ ุงูุฑุญู ู ุงุจู ููุงู ูู ุนูู ุจู ุนุจุฏ ุงูุฑุญู ูุ ูููุจ ุจุนูุงูุ ุญุฏุซ ุนูู ุฃุจู ุจูุฑ ุงูููุณุงุจูุฑู ูุงุจู ุตุงุนุฏ ูุบูุฑูู ุงุ ูุญู ุฒุฉ\n\\frac{\\partial n}{\\partial t} = \\lim_{h \\to 0} \\frac{\\exp(t + h) - \\exp(t)}{h}\n## ุจุฑูุงู\nุจู ุงูู ุบูุฑุฉ ุนู ูู ุง. (251) .\n\\sum_{i=0}^{\\infty} \\frac{\\beta^i}{i!} = e^{\\beta} + \\frac{t}{i^2}\n\\iint_{D} y^2 = \\beta^2 \\, dx \\, dy\n\\vec{F} = m\\vec{a}\n## ู ูุงุญุธุฉ\nููู ูุตุฉ ู ุชุธูู : ยซููุณูููุนูููู ู ุงูููุฐูููู ุธูููู ููุง ุฃูููู ู ูููููููุจู ููููููููุจููููยป. ููู ูุตุฉ ู ุชุธูู ุดูุง ุจุนุถ ุฃูู ุจูุชู: ยซู ุง ูุงู ุนููู ูู ุตูุญุช\n\\mathbb{E}[\\theta] = \\int x f_\\theta(x) dx\n## ุจุฑูุงู\nุนูู ูุงุณุชูุตูุชูู (1)ุ ยป. โ โูุดุงู ุจู ุนุจุฏ ุงูู ูู ูููุน ูุดุงู ุจู ุนุจุฏ ุงูู ูู ูู ูุตุฉ ู ุชุธูู : ยซุฃุชุงู ุงูุบูุซ ุฅู ููุช ุตุงุฏูุงุ ูุญู ุจู ุงููููุงู ุฅู ููุช ูุงุฐุจุงุ ูุชูุฏูู ุฃู ุชุฃุฎูุฑยป. ููู ูุตุฉ ููู ุดููุง ุฃู ูุฑูู : ยซุฅู ุตุญู ู ุง ุงุฏุนูุชู ุนููู ุนุฒููุงู ูุนุงูุจูุงูยป. ยซูุฅูู ุตุงุญุจ ุฎุฑุงุณุงู ุญูู ุฃู ุฑู ุจู ุญุงุฑุจุฉ ุงูุชุฑู: ยซุงุญุฐุฑ ููุงูู ุงูุจูุงุช (2)ยป. ูุฅูู ุตุงุญุจ ุงูู ุฏููุฉุ ููุชุจ\n\\prod_{\\theta=1}^{n} (1 \\geq k_\\theta) = 0 + \\frac{i}{k^2}", | |
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| "confidence": 1.0, | |
| "start_index": 695 | |
| }, | |
| { | |
| "text": "\\beta^2", | |
| "confidence": 1.0, | |
| "start_index": 697 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 705 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 708 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 711 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
| "start_index": 714 | |
| }, | |
| { | |
| "text": "\\vec{F}", | |
| "confidence": 1.0, | |
| "start_index": 717 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 725 | |
| }, | |
| { | |
| "text": "m\\vec{a}", | |
| "confidence": 1.0, | |
| "start_index": 727 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 736 | |
| }, | |
| { | |
| "text": "ู ูุงุญุธุฉ", | |
| "confidence": 1.0, | |
| "start_index": 739 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 746 | |
| }, | |
| { | |
| "text": "ูุตุฉ", | |
| "confidence": 1.0, | |
| "start_index": 750 | |
| }, | |
| { | |
| "text": "ู ุชุธูู :", | |
| "confidence": 1.0, | |
| "start_index": 754 | |
| }, | |
| { | |
| "text": "ยซููุณูููุนูููู ู", | |
| "confidence": 1.0, | |
| "start_index": 761 | |
| }, | |
| { | |
| "text": "ุงูููุฐูููู", | |
| "confidence": 1.0, | |
| "start_index": 775 | |
| }, | |
| { | |
| "text": "ุธูููู ููุง", | |
| "confidence": 1.0, | |
| "start_index": 785 | |
| }, | |
| { | |
| "text": "ุฃูููู", | |
| "confidence": 1.0, | |
| "start_index": 794 | |
| }, | |
| { | |
| "text": "ู ูููููููุจู", | |
| "confidence": 1.0, | |
| "start_index": 800 | |
| }, | |
| { | |
| "text": "ููููููููุจููููยป.", | |
| "confidence": 1.0, | |
| "start_index": 811 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 827 | |
| }, | |
| { | |
| "text": "ูุตุฉ", | |
| "confidence": 1.0, | |
| "start_index": 831 | |
| }, | |
| { | |
| "text": "ู ุชุธูู ", | |
| "confidence": 1.0, | |
| "start_index": 835 | |
| }, | |
| { | |
| "text": "ุดูุง", | |
| "confidence": 1.0, | |
| "start_index": 841 | |
| }, | |
| { | |
| "text": "ุจุนุถ", | |
| "confidence": 1.0, | |
| "start_index": 845 | |
| }, | |
| { | |
| "text": "ุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 849 | |
| }, | |
| { | |
| "text": "ุจูุชู:", | |
| "confidence": 1.0, | |
| "start_index": 853 | |
| }, | |
| { | |
| "text": "ยซู ุง", | |
| "confidence": 1.0, | |
| "start_index": 859 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 863 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 867 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 872 | |
| }, | |
| { | |
| "text": "ุตูุญุช", | |
| "confidence": 1.0, | |
| "start_index": 875 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[\\theta]", | |
| "confidence": 1.0, | |
| "start_index": 880 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 899 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 901 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 906 | |
| }, | |
| { | |
| "text": "f_\\theta(x)", | |
| "confidence": 1.0, | |
| "start_index": 908 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 920 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 923 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 926 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 932 | |
| }, | |
| { | |
| "text": "ูุงุณุชูุตูุชูู", | |
| "confidence": 1.0, | |
| "start_index": 936 | |
| }, | |
| { | |
| "text": "(1)ุ", | |
| "confidence": 1.0, | |
| "start_index": 947 | |
| }, | |
| { | |
| "text": "ยป.", | |
| "confidence": 1.0, | |
| "start_index": 952 | |
| }, | |
| { | |
| "text": "โ", | |
| "confidence": 1.0, | |
| "start_index": 955 | |
| }, | |
| { | |
| "text": "โูุดุงู ", | |
| "confidence": 1.0, | |
| "start_index": 957 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 963 | |
| }, | |
| { | |
| "text": "ุนุจุฏ", | |
| "confidence": 1.0, | |
| "start_index": 966 | |
| }, | |
| { | |
| "text": "ุงูู ูู", | |
| "confidence": 1.0, | |
| "start_index": 970 | |
| }, | |
| { | |
| "text": "ูููุน", | |
| "confidence": 1.0, | |
| "start_index": 976 | |
| }, | |
| { | |
| "text": "ูุดุงู ", | |
| "confidence": 1.0, | |
| "start_index": 981 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 986 | |
| }, | |
| { | |
| "text": "ุนุจุฏ", | |
| "confidence": 1.0, | |
| "start_index": 989 | |
| }, | |
| { | |
| "text": "ุงูู ูู", | |
| "confidence": 1.0, | |
| "start_index": 993 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 999 | |
| }, | |
| { | |
| "text": "ูุตุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1002 | |
| }, | |
| { | |
| "text": "ู ุชุธูู :", | |
| "confidence": 1.0, | |
| "start_index": 1006 | |
| }, | |
| { | |
| "text": "ยซุฃุชุงู", | |
| "confidence": 1.0, | |
| "start_index": 1013 | |
| }, | |
| { | |
| "text": "ุงูุบูุซ", | |
| "confidence": 1.0, | |
| "start_index": 1019 | |
| }, | |
| { | |
| "text": "ุฅู", | |
| "confidence": 1.0, | |
| "start_index": 1025 | |
| }, | |
| { | |
| "text": "ููุช", | |
| "confidence": 1.0, | |
| "start_index": 1028 | |
| }, | |
| { | |
| "text": "ุตุงุฏูุงุ", | |
| "confidence": 1.0, | |
| "start_index": 1032 | |
| }, | |
| { | |
| "text": "ูุญู", | |
| "confidence": 1.0, | |
| "start_index": 1039 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1043 | |
| }, | |
| { | |
| "text": "ุงููููุงู", | |
| "confidence": 1.0, | |
| "start_index": 1046 | |
| }, | |
| { | |
| "text": "ุฅู", | |
| "confidence": 1.0, | |
| "start_index": 1054 | |
| }, | |
| { | |
| "text": "ููุช", | |
| "confidence": 1.0, | |
| "start_index": 1057 | |
| }, | |
| { | |
| "text": "ูุงุฐุจุงุ", | |
| "confidence": 1.0, | |
| "start_index": 1061 | |
| }, | |
| { | |
| "text": "ูุชูุฏูู ", | |
| "confidence": 1.0, | |
| "start_index": 1068 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 1075 | |
| }, | |
| { | |
| "text": "ุชุฃุฎูุฑยป.", | |
| "confidence": 1.0, | |
| "start_index": 1078 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 1086 | |
| }, | |
| { | |
| "text": "ูุตุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1090 | |
| }, | |
| { | |
| "text": "ููู ", | |
| "confidence": 1.0, | |
| "start_index": 1094 | |
| }, | |
| { | |
| "text": "ุดููุง", | |
| "confidence": 1.0, | |
| "start_index": 1098 | |
| }, | |
| { | |
| "text": "ุฃู ูุฑูู :", | |
| "confidence": 1.0, | |
| "start_index": 1103 | |
| }, | |
| { | |
| "text": "ยซุฅู", | |
| "confidence": 1.0, | |
| "start_index": 1111 | |
| }, | |
| { | |
| "text": "ุตุญู", | |
| "confidence": 1.0, | |
| "start_index": 1115 | |
| }, | |
| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
| "start_index": 1119 | |
| }, | |
| { | |
| "text": "ุงุฏุนูุชู ", | |
| "confidence": 1.0, | |
| "start_index": 1122 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 1129 | |
| }, | |
| { | |
| "text": "ุนุฒููุงู", | |
| "confidence": 1.0, | |
| "start_index": 1134 | |
| }, | |
| { | |
| "text": "ูุนุงูุจูุงูยป.", | |
| "confidence": 1.0, | |
| "start_index": 1141 | |
| }, | |
| { | |
| "text": "ยซูุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 1152 | |
| }, | |
| { | |
| "text": "ุตุงุญุจ", | |
| "confidence": 1.0, | |
| "start_index": 1158 | |
| }, | |
| { | |
| "text": "ุฎุฑุงุณุงู", | |
| "confidence": 1.0, | |
| "start_index": 1163 | |
| }, | |
| { | |
| "text": "ุญูู", | |
| "confidence": 1.0, | |
| "start_index": 1170 | |
| }, | |
| { | |
| "text": "ุฃู ุฑู", | |
| "confidence": 1.0, | |
| "start_index": 1174 | |
| }, | |
| { | |
| "text": "ุจู ุญุงุฑุจุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1179 | |
| }, | |
| { | |
| "text": "ุงูุชุฑู:", | |
| "confidence": 1.0, | |
| "start_index": 1187 | |
| }, | |
| { | |
| "text": "ยซุงุญุฐุฑ", | |
| "confidence": 1.0, | |
| "start_index": 1194 | |
| }, | |
| { | |
| "text": "ููุงูู", | |
| "confidence": 1.0, | |
| "start_index": 1200 | |
| }, | |
| { | |
| "text": "ุงูุจูุงุช", | |
| "confidence": 1.0, | |
| "start_index": 1206 | |
| }, | |
| { | |
| "text": "(2)ยป.", | |
| "confidence": 1.0, | |
| "start_index": 1213 | |
| }, | |
| { | |
| "text": "ูุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 1219 | |
| }, | |
| { | |
| "text": "ุตุงุญุจ", | |
| "confidence": 1.0, | |
| "start_index": 1224 | |
| }, | |
| { | |
| "text": "ุงูู ุฏููุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 1229 | |
| }, | |
| { | |
| "text": "ููุชุจ", | |
| "confidence": 1.0, | |
| "start_index": 1238 | |
| }, | |
| { | |
| "text": "\\prod_{\\theta=1}^{n}", | |
| "confidence": 1.0, | |
| "start_index": 1243 | |
| }, | |
| { | |
| "text": "(1", | |
| "confidence": 1.0, | |
| "start_index": 1264 | |
| }, | |
| { | |
| "text": "\\geq", | |
| "confidence": 1.0, | |
| "start_index": 1267 | |
| }, | |
| { | |
| "text": "k_\\theta)", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 1282 | |
| }, | |
| { | |
| "text": "0", | |
| "confidence": 1.0, | |
| "start_index": 1284 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1286 | |
| }, | |
| { | |
| "text": "\\frac{i}{k^2}", | |
| "confidence": 1.0, | |
| "start_index": 1288 | |
| } | |
| ], | |
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| }, | |
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| "content": "\\prod_{\\mu=1}^{n} (1 \\times z_\\mu) = 0 + \\frac{\\theta}{\\lambda^2}", | |
| "type": "text", | |
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| "reading_index": 1 | |
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| "content": "\\frac{\\partial i}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\sin(\\beta + h) - \\sin(\\beta)}{h}", | |
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| "content": "ูุดูุท ุงูู ุฎุฒูู ูุ ู ููุงูู ุ ุฃุจู ุงูุญุณูุ ุงููููููููุ ุซู ุงูู ุตุฑูุ ุงูู ุนุฑูู ุจุนูุงู . โข ูุงู ุงูุณููููู ูููู: ูุงู ุงูุฏููุงุฑูููุทููููู: ุนุจุฏ ุงููู ุจู ู ุญู ุฏ ุจู ุงูู ุบูุฑุฉุ ููู ุฃุฎ ููุงู ูู ุนุจุฏ ุงูุฑุญู ู ุญุฏุซ ุนูู ุณุนูุฏ ุจู ู ูุตูุฑุ ููุนุจุฏ ุงูุฑุญู ู ุงุจู ููุงู ูู ุนูู ุจู ุนุจุฏ ุงูุฑุญู ูุ ูููุจ ุจุนูุงูุ ุญุฏุซ ุนูู ุฃุจู ุจูุฑ ุงูููุณุงุจูุฑู ูุงุจู ุตุงุนุฏ ูุบูุฑูู ุงุ ูุญู ุฒุฉ", | |
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| "bottom_right_y": 416, | |
| "content": "\\frac{\\partial n}{\\partial t} = \\lim_{h \\to 0} \\frac{\\exp(t + h) - \\exp(t)}{h}", | |
| "type": "text", | |
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| }, | |
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| "content": "ุจุฑูุงู", | |
| "type": "title", | |
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| { | |
| "top_left_x": 52, | |
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| "content": "ุจู ุงูู ุบูุฑุฉ ุนู ูู ุง. (251) .", | |
| "type": "text", | |
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| "top_left_x": 52, | |
| "top_left_y": 515, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 579, | |
| "content": "\\sum_{i=0}^{\\infty} \\frac{\\beta^i}{i!} = e^{\\beta} + \\frac{t}{i^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
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| "top_left_x": 40, | |
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| "bottom_right_y": 668, | |
| "content": "\\iint_{D} y^2 = \\beta^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
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| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
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| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 731, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 753, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 758, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 803, | |
| "content": "ููู ูุตุฉ ู ุชุธูู : ยซููุณูููุนูููู ู ุงูููุฐูููู ุธูููู ููุง ุฃูููู ู ูููููููุจู ููููููููุจููููยป. ููู ูุตุฉ ู ุชุธูู ุดูุง ุจุนุถ ุฃูู ุจูุชู: ยซู ุง ูุงู ุนููู ูู ุตูุญุช", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 809, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 863, | |
| "content": "\\mathbb{E}[\\theta] = \\int x f_\\theta(x) dx", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 907, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 929, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 934, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 1001, | |
| "content": "ุนูู ูุงุณุชูุตูุชูู (1)ุ ยป. โ โูุดุงู ุจู ุนุจุฏ ุงูู ูู ูููุน ูุดุงู ุจู ุนุจุฏ ุงูู ูู ูู ูุตุฉ ู ุชุธูู : ยซุฃุชุงู ุงูุบูุซ ุฅู ููุช ุตุงุฏูุงุ ูุญู ุจู ุงููููุงู ุฅู ููุช ูุงุฐุจุงุ ูุชูุฏูู ุฃู ุชุฃุฎูุฑยป. ููู ูุตุฉ ููู ุดููุง ุฃู ูุฑูู : ยซุฅู ุตุญู ู ุง ุงุฏุนูุชู ุนููู ุนุฒููุงู ูุนุงูุจูุงูยป. ยซูุฅูู ุตุงุญุจ ุฎุฑุงุณุงู ุญูู ุฃู ุฑู ุจู ุญุงุฑุจุฉ ุงูุชุฑู: ยซุงุญุฐุฑ ููุงูู ุงูุจูุงุช (2)ยป. ูุฅูู ุตุงุญุจ ุงูู ุฏููุฉุ ููุชุจ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 1007, | |
| "bottom_right_x": 655, | |
| "bottom_right_y": 1072, | |
| "content": "\\prod_{\\theta=1}^{n} (1 \\geq k_\\theta) = 0 + \\frac{i}{k^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "ko-lab.otf", | |
| "title_font": "dg-nemr-v0.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |