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| "markdown": "\\iint_{D} z^2 \\leq \\lambda^2 \\, dx \\, dy\n## ู ุจุฑููุฉ\n(ุญูู ููุงุฏู ุจููู ุณูููู ูุฉู) ุจู ุฏููุงุฑุ ุฃุจู ุณูู ุฉ ุงูุจุตุฑููุ ุซูุฉู ุนุงุจุฏู ุฃุซุจุช ุงููุงุณ ูู ุซุงุจุชุ ุชุบููุฑ ุจุขุฎุฑูุ ู ู ูุจุงุฑ [8] (ุช 167) (ุฎุช ู 4) ุชูุฏู ูู \"ุงูู ูุฏู ุฉ\" 6/ 80. 3 - (ุซูุงุจูุชู) ุจู ุฃุณูู ุงููุจููุงูููุ\n\\frac{\\partial i}{\\partial k} = \\lim_{h \\to 0} \\frac{\\min(k + h) - \\min(k)}{h}\n## ู ูุงุญุธุฉ\nุฃุจู ู ุญู ุฏ ุงูุจุตุฑููุ ุซูุฉู ุนุงุจุฏู [4] ู ุงุช ุณูุฉ ุจุถุน ู (120) (ุน) ููู (86) ุณูุฉู (ุน) ุชูุฏู ูู \"ุงูู ูุฏู ุฉ\" 6/ 80. ูุงูุจุงููุงู ุชูุฏูู ุง\n\\int_{4}^{M} \\log(n) \\, dn = \\lambda^2 \\leq C\n## ุจุฑูุงู\nูู ุงูุจุงุจ ุงูู ุงุถูุ ู\"ู ูุทูุฑูููู\" ูู: ุงุจู ุนุจุฏ ุงููู ุจู ุงูุดููุฎูููุฑ. ููููู: (ููููู ู ุฃูููููู ู ู ูุทูุฑูููุงู ู ููู ููุฐูุงุจ) ูุฐุง ููุงู ุงูู ุตููู ุฑุญู ู ุงูููุ ูุนูู ุฃูู ูู ูููู ู ู ููุธ ุดูุฎู ูุฏูุงุจ ุจู\ny_{n+1} = y_n - \\alpha \\nabla f(y_n)\n## ุจุฑูุงู\nุฎุงูุฏ ููุธ ู ุทุฑููุ ูุฅูู ุง ููู ู ู ู ุบูุฑูุ ูููู ุฃูู ุฅุฐุง ุฎูู ุนูู ุงูุทุงูุจ ุจุนุถ ุงูุณูุฏ ุฃู ุจุนุถ ููู ุงุช ุงูู ุชูุ ูุงุณุชุซุจุช ู ู ุบูุฑู ุฌุงุฒุ ููุฐุง ุงูุฐู ูุนูู ุงูู ุตูู ูุนูู ุบูุฑู ู ู ุงูุญููุงุธุ ููู \"ู ุณูุฏ ุฃุญู ุฏ\": ุญุฏูุซูุง ูุฒูุฏ ุจู\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\frac{\\partial \\sigma}{\\partial \\sigma} = \\lim_{h \\to 0} \\frac{\\ln(\\sigma + h) - \\ln(\\sigma)}{h}\n## ูุธุฑูุฉ\nูุงุฑููุ ุฃูุง ุนุงุตู ุจุงููููุฉุ ููู ุฃูุชุจูุ ูุณู ุนุช ุดุนุจุฉ ููุญุฏูุซ ุจูุ ูุนุฑูุชู ุจูุ ุนู ุนุงุตู ุ ุนู ุนุจุฏ ุงููู ุจู ุณูุฑูุฌูุณุ ุฃู ุฑุณูู ุงููู ุตูู ุงููู\n\\iint_{D} \\theta^2 - \\sigma^2 \\, dx \\, dy + \\frac{\\lambda}{\\alpha^2}", | |
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| { | |
| "text": "ุฑุญู ู", | |
| "confidence": 1.0, | |
| "start_index": 624 | |
| }, | |
| { | |
| "text": "ุงูููุ", | |
| "confidence": 1.0, | |
| "start_index": 629 | |
| }, | |
| { | |
| "text": "ูุนูู", | |
| "confidence": 1.0, | |
| "start_index": 635 | |
| }, | |
| { | |
| "text": "ุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 640 | |
| }, | |
| { | |
| "text": "ูู ", | |
| "confidence": 1.0, | |
| "start_index": 644 | |
| }, | |
| { | |
| "text": "ูููู ", | |
| "confidence": 1.0, | |
| "start_index": 647 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 652 | |
| }, | |
| { | |
| "text": "ููุธ", | |
| "confidence": 1.0, | |
| "start_index": 655 | |
| }, | |
| { | |
| "text": "ุดูุฎู", | |
| "confidence": 1.0, | |
| "start_index": 659 | |
| }, | |
| { | |
| "text": "ูุฏูุงุจ", | |
| "confidence": 1.0, | |
| "start_index": 664 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 670 | |
| }, | |
| { | |
| "text": "y_{n+1}", | |
| "confidence": 1.0, | |
| "start_index": 673 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 681 | |
| }, | |
| { | |
| "text": "y_n", | |
| "confidence": 1.0, | |
| "start_index": 683 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 687 | |
| }, | |
| { | |
| "text": "\\alpha", | |
| "confidence": 1.0, | |
| "start_index": 689 | |
| }, | |
| { | |
| "text": "\\nabla", | |
| "confidence": 1.0, | |
| "start_index": 696 | |
| }, | |
| { | |
| "text": "f(y_n)", | |
| "confidence": 1.0, | |
| "start_index": 703 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 710 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 713 | |
| }, | |
| { | |
| "text": "ุฎุงูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 719 | |
| }, | |
| { | |
| "text": "ููุธ", | |
| "confidence": 1.0, | |
| "start_index": 724 | |
| }, | |
| { | |
| "text": "ู ุทุฑููุ", | |
| "confidence": 1.0, | |
| "start_index": 728 | |
| }, | |
| { | |
| "text": "ูุฅูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 735 | |
| }, | |
| { | |
| "text": "ููู ู", | |
| "confidence": 1.0, | |
| "start_index": 741 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 746 | |
| }, | |
| { | |
| "text": "ุบูุฑูุ", | |
| "confidence": 1.0, | |
| "start_index": 749 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 755 | |
| }, | |
| { | |
| "text": "ุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 760 | |
| }, | |
| { | |
| "text": "ุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 764 | |
| }, | |
| { | |
| "text": "ุฎูู", | |
| "confidence": 1.0, | |
| "start_index": 768 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 772 | |
| }, | |
| { | |
| "text": "ุงูุทุงูุจ", | |
| "confidence": 1.0, | |
| "start_index": 776 | |
| }, | |
| { | |
| "text": "ุจุนุถ", | |
| "confidence": 1.0, | |
| "start_index": 783 | |
| }, | |
| { | |
| "text": "ุงูุณูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 787 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 793 | |
| }, | |
| { | |
| "text": "ุจุนุถ", | |
| "confidence": 1.0, | |
| "start_index": 796 | |
| }, | |
| { | |
| "text": "ููู ุงุช", | |
| "confidence": 1.0, | |
| "start_index": 800 | |
| }, | |
| { | |
| "text": "ุงูู ุชูุ", | |
| "confidence": 1.0, | |
| "start_index": 806 | |
| }, | |
| { | |
| "text": "ูุงุณุชุซุจุช", | |
| "confidence": 1.0, | |
| "start_index": 813 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 821 | |
| }, | |
| { | |
| "text": "ุบูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 824 | |
| }, | |
| { | |
| "text": "ุฌุงุฒุ", | |
| "confidence": 1.0, | |
| "start_index": 829 | |
| }, | |
| { | |
| "text": "ููุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 834 | |
| }, | |
| { | |
| "text": "ุงูุฐู", | |
| "confidence": 1.0, | |
| "start_index": 839 | |
| }, | |
| { | |
| "text": "ูุนูู", | |
| "confidence": 1.0, | |
| "start_index": 844 | |
| }, | |
| { | |
| "text": "ุงูู ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 849 | |
| }, | |
| { | |
| "text": "ูุนูู", | |
| "confidence": 1.0, | |
| "start_index": 856 | |
| }, | |
| { | |
| "text": "ุบูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 861 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 866 | |
| }, | |
| { | |
| "text": "ุงูุญููุงุธุ", | |
| "confidence": 1.0, | |
| "start_index": 869 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 878 | |
| }, | |
| { | |
| "text": "\"ู ุณูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 882 | |
| }, | |
| { | |
| "text": "ุฃุญู ุฏ\":", | |
| "confidence": 1.0, | |
| "start_index": 888 | |
| }, | |
| { | |
| "text": "ุญุฏูุซูุง", | |
| "confidence": 1.0, | |
| "start_index": 895 | |
| }, | |
| { | |
| "text": "ูุฒูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 902 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 907 | |
| }, | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 910 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 917 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 919 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 929 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 934 | |
| }, | |
| { | |
| "text": "\\frac{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 944 | |
| }, | |
| { | |
| "text": "\\sigma}{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 959 | |
| }, | |
| { | |
| "text": "\\sigma}", | |
| "confidence": 1.0, | |
| "start_index": 976 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 984 | |
| }, | |
| { | |
| "text": "\\lim_{h", | |
| "confidence": 1.0, | |
| "start_index": 986 | |
| }, | |
| { | |
| "text": "\\to", | |
| "confidence": 1.0, | |
| "start_index": 994 | |
| }, | |
| { | |
| "text": "0}", | |
| "confidence": 1.0, | |
| "start_index": 998 | |
| }, | |
| { | |
| "text": "\\frac{\\ln(\\sigma", | |
| "confidence": 1.0, | |
| "start_index": 1001 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1018 | |
| }, | |
| { | |
| "text": "h)", | |
| "confidence": 1.0, | |
| "start_index": 1020 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1023 | |
| }, | |
| { | |
| "text": "\\ln(\\sigma)}{h}", | |
| "confidence": 1.0, | |
| "start_index": 1025 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 1041 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1044 | |
| }, | |
| { | |
| "text": "ูุงุฑููุ", | |
| "confidence": 1.0, | |
| "start_index": 1050 | |
| }, | |
| { | |
| "text": "ุฃูุง", | |
| "confidence": 1.0, | |
| "start_index": 1057 | |
| }, | |
| { | |
| "text": "ุนุงุตู ", | |
| "confidence": 1.0, | |
| "start_index": 1061 | |
| }, | |
| { | |
| "text": "ุจุงููููุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 1066 | |
| }, | |
| { | |
| "text": "ููู ", | |
| "confidence": 1.0, | |
| "start_index": 1075 | |
| }, | |
| { | |
| "text": "ุฃูุชุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 1079 | |
| }, | |
| { | |
| "text": "ูุณู ุนุช", | |
| "confidence": 1.0, | |
| "start_index": 1086 | |
| }, | |
| { | |
| "text": "ุดุนุจุฉ", | |
| "confidence": 1.0, | |
| "start_index": 1092 | |
| }, | |
| { | |
| "text": "ููุญุฏูุซ", | |
| "confidence": 1.0, | |
| "start_index": 1097 | |
| }, | |
| { | |
| "text": "ุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 1104 | |
| }, | |
| { | |
| "text": "ูุนุฑูุชู", | |
| "confidence": 1.0, | |
| "start_index": 1108 | |
| }, | |
| { | |
| "text": "ุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 1115 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1119 | |
| }, | |
| { | |
| "text": "ุนุงุตู ุ", | |
| "confidence": 1.0, | |
| "start_index": 1122 | |
| }, | |
| { | |
| "text": "ุนู", | |
| "confidence": 1.0, | |
| "start_index": 1128 | |
| }, | |
| { | |
| "text": "ุนุจุฏ", | |
| "confidence": 1.0, | |
| "start_index": 1131 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 1135 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 1140 | |
| }, | |
| { | |
| "text": "ุณูุฑูุฌูุณุ", | |
| "confidence": 1.0, | |
| "start_index": 1143 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 1152 | |
| }, | |
| { | |
| "text": "ุฑุณูู", | |
| "confidence": 1.0, | |
| "start_index": 1155 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 1160 | |
| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 1165 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 1169 | |
| }, | |
| { | |
| "text": "\\iint_{D}", | |
| "confidence": 1.0, | |
| "start_index": 1174 | |
| }, | |
| { | |
| "text": "\\theta^2", | |
| "confidence": 1.0, | |
| "start_index": 1184 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 1193 | |
| }, | |
| { | |
| "text": "\\sigma^2", | |
| "confidence": 1.0, | |
| "start_index": 1195 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 1204 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 1207 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 1210 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
| "start_index": 1213 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 1216 | |
| }, | |
| { | |
| "text": "\\frac{\\lambda}{\\alpha^2}", | |
| "confidence": 1.0, | |
| "start_index": 1218 | |
| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
| "blocks": [ | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 46, | |
| "bottom_right_x": 835, | |
| "bottom_right_y": 103, | |
| "content": "\\iint_{D} z^2 \\leq \\lambda^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 1 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 121, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 138, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 2 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 143, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 187, | |
| "content": "(ุญูู ููุงุฏู ุจููู ุณูููู ูุฉู) ุจู ุฏููุงุฑุ ุฃุจู ุณูู ุฉ ุงูุจุตุฑููุ ุซูุฉู ุนุงุจุฏู ุฃุซุจุช ุงููุงุณ ูู ุซุงุจุชุ ุชุบููุฑ ุจุขุฎุฑูุ ู ู ูุจุงุฑ [8] (ุช 167) (ุฎุช ู 4) ุชูุฏู ูู \"ุงูู ูุฏู ุฉ\" 6/ 80. 3 - (ุซูุงุจูุชู) ุจู ุฃุณูู ุงููุจููุงูููุ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 3 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 193, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 247, | |
| "content": "\\frac{\\partial i}{\\partial k} = \\lim_{h \\to 0} \\frac{\\min(k + h) - \\min(k)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 291, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 308, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 313, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 335, | |
| "content": "ุฃุจู ู ุญู ุฏ ุงูุจุตุฑููุ ุซูุฉู ุนุงุจุฏู [4] ู ุงุช ุณูุฉ ุจุถุน ู (120) (ุน) ููู (86) ุณูุฉู (ุน) ุชูุฏู ูู \"ุงูู ูุฏู ุฉ\" 6/ 80. ูุงูุจุงููุงู ุชูุฏูู ุง", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 341, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 399, | |
| "content": "\\int_{4}^{M} \\log(n) \\, dn = \\lambda^2 \\leq C", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 443, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 460, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 465, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 510, | |
| "content": "ูู ุงูุจุงุจ ุงูู ุงุถูุ ู\"ู ูุทูุฑูููู\" ูู: ุงุจู ุนุจุฏ ุงููู ุจู ุงูุดููุฎูููุฑ. ููููู: (ููููู ู ุฃูููููู ู ู ูุทูุฑูููุงู ู ููู ููุฐูุงุจ) ูุฐุง ููุงู ุงูู ุตููู ุฑุญู ู ุงูููุ ูุนูู ุฃูู ูู ูููู ู ู ููุธ ุดูุฎู ูุฏูุงุจ ุจู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 516, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 554, | |
| "content": "y_{n+1} = y_n - \\alpha \\nabla f(y_n)", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 598, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 615, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 620, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 665, | |
| "content": "ุฎุงูุฏ ููุธ ู ุทุฑููุ ูุฅูู ุง ููู ู ู ู ุบูุฑูุ ูููู ุฃูู ุฅุฐุง ุฎูู ุนูู ุงูุทุงูุจ ุจุนุถ ุงูุณูุฏ ุฃู ุจุนุถ ููู ุงุช ุงูู ุชูุ ูุงุณุชุซุจุช ู ู ุบูุฑู ุฌุงุฒุ ููุฐุง ุงูุฐู ูุนูู ุงูู ุตูู ูุนูู ุบูุฑู ู ู ุงูุญููุงุธุ ููู \"ู ุณูุฏ ุฃุญู ุฏ\": ุญุฏูุซูุง ูุฒูุฏ ุจู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 671, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 727, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 759, | |
| "bottom_right_x": 835, | |
| "bottom_right_y": 812, | |
| "content": "\\frac{\\partial \\sigma}{\\partial \\sigma} = \\lim_{h \\to 0} \\frac{\\ln(\\sigma + h) - \\ln(\\sigma)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 830, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 847, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 852, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 875, | |
| "content": "ูุงุฑููุ ุฃูุง ุนุงุตู ุจุงููููุฉุ ููู ุฃูุชุจูุ ูุณู ุนุช ุดุนุจุฉ ููุญุฏูุซ ุจูุ ูุนุฑูุชู ุจูุ ุนู ุนุงุตู ุ ุนู ุนุจุฏ ุงููู ุจู ุณูุฑูุฌูุณุ ุฃู ุฑุณูู ุงููู ุตูู ุงููู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 881, | |
| "bottom_right_x": 819, | |
| "bottom_right_y": 935, | |
| "content": "\\iint_{D} \\theta^2 - \\sigma^2 \\, dx \\, dy + \\frac{\\lambda}{\\alpha^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "hesham-normal.otf", | |
| "title_font": "kfgqpc-zakhrfa-blk.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |