| { | |
| "markdown": "## ุจุฑูุงู\nุจูุชุงููู ุจูููู: {ูุงุชููููุง ุงูููุฐูููู ูุง ููุคูู ูููููู ุจูุงูููู ูููุง ุจูุงููููููู ู ุงููุขุฎูุฑู.}. ุงูุขูุฉุ\n\\int_{0}^{100} \\log(\\sigma) \\, d\\sigma = x^2 \\cdot C + \\frac{\\beta}{\\beta^2}\n## ุชุนุฑูู\nุฅูู ูููู: {ููููู ู ุตุงุบูุฑูููู} (1) ูุบูุฑ ุฐูู ู ู ุงูุขูุงุชุ ููุชููุง ุจูู ูุฑูุธุฉุ ูุฃุฌููุง ุจูู ุงููุถูุฑ. ูููู: ู ุนูุงู: {(ุญูุชูู ููุฃูุชููู ุงูููู ุจูุฃูู ูุฑููู)}:ููุงู ุงูุณุงุนุฉ ููุฌุงุฒููู ุจุฃุนู ุงููู . {ุฅูููู ุงูููู ุนููู ููููู\n\\frac{\\partial j}{\\partial n} = \\lim_{h \\to 0} \\frac{\\log(n + h) - \\log(n)}{h}\n\\mathbb{E}[i] = \\int x f_i(x) dx + \\frac{t}{z^2}", | |
| "images": [], | |
| "tables": [], | |
| "hyperlinks": [], | |
| "header": null, | |
| "footer": null, | |
| "dimensions": { | |
| "dpi": 96, | |
| "height": 442, | |
| "width": 553 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 3 | |
| }, | |
| { | |
| "text": "ุจูุชุงููู ", | |
| "confidence": 1.0, | |
| "start_index": 9 | |
| }, | |
| { | |
| "text": "ุจูููู:", | |
| "confidence": 1.0, | |
| "start_index": 17 | |
| }, | |
| { | |
| "text": "{ูุงุชููููุง", | |
| "confidence": 1.0, | |
| "start_index": 24 | |
| }, | |
| { | |
| "text": "ุงูููุฐูููู", | |
| "confidence": 1.0, | |
| "start_index": 34 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 44 | |
| }, | |
| { | |
| "text": "ููุคูู ูููููู", | |
| "confidence": 1.0, | |
| "start_index": 47 | |
| }, | |
| { | |
| "text": "ุจูุงูููู", | |
| "confidence": 1.0, | |
| "start_index": 59 | |
| }, | |
| { | |
| "text": "ูููุง", | |
| "confidence": 1.0, | |
| "start_index": 67 | |
| }, | |
| { | |
| "text": "ุจูุงููููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 72 | |
| }, | |
| { | |
| "text": "ุงููุขุฎูุฑู.}.", | |
| "confidence": 1.0, | |
| "start_index": 84 | |
| }, | |
| { | |
| "text": "ุงูุขูุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 96 | |
| }, | |
| { | |
| "text": "\\int_{0}^{100}", | |
| "confidence": 1.0, | |
| "start_index": 103 | |
| }, | |
| { | |
| "text": "\\log(\\sigma)", | |
| "confidence": 1.0, | |
| "start_index": 118 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 131 | |
| }, | |
| { | |
| "text": "d\\sigma", | |
| "confidence": 1.0, | |
| "start_index": 134 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 142 | |
| }, | |
| { | |
| "text": "x^2", | |
| "confidence": 1.0, | |
| "start_index": 144 | |
| }, | |
| { | |
| "text": "\\cdot", | |
| "confidence": 1.0, | |
| "start_index": 148 | |
| }, | |
| { | |
| "text": "C", | |
| "confidence": 1.0, | |
| "start_index": 154 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 156 | |
| }, | |
| { | |
| "text": "\\frac{\\beta}{\\beta^2}", | |
| "confidence": 1.0, | |
| "start_index": 158 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 180 | |
| }, | |
| { | |
| "text": "ุชุนุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 183 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 189 | |
| }, | |
| { | |
| "text": "ูููู:", | |
| "confidence": 1.0, | |
| "start_index": 193 | |
| }, | |
| { | |
| "text": "{ููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 199 | |
| }, | |
| { | |
| "text": "ุตุงุบูุฑูููู}", | |
| "confidence": 1.0, | |
| "start_index": 207 | |
| }, | |
| { | |
| "text": "(1)", | |
| "confidence": 1.0, | |
| "start_index": 218 | |
| }, | |
| { | |
| "text": "ูุบูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 222 | |
| }, | |
| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 227 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 231 | |
| }, | |
| { | |
| "text": "ุงูุขูุงุชุ", | |
| "confidence": 1.0, | |
| "start_index": 234 | |
| }, | |
| { | |
| "text": "ููุชููุง", | |
| "confidence": 1.0, | |
| "start_index": 242 | |
| }, | |
| { | |
| "text": "ุจูู", | |
| "confidence": 1.0, | |
| "start_index": 249 | |
| }, | |
| { | |
| "text": "ูุฑูุธุฉุ", | |
| "confidence": 1.0, | |
| "start_index": 253 | |
| }, | |
| { | |
| "text": "ูุฃุฌููุง", | |
| "confidence": 1.0, | |
| "start_index": 260 | |
| }, | |
| { | |
| "text": "ุจูู", | |
| "confidence": 1.0, | |
| "start_index": 267 | |
| }, | |
| { | |
| "text": "ุงููุถูุฑ.", | |
| "confidence": 1.0, | |
| "start_index": 271 | |
| }, | |
| { | |
| "text": "ูููู:", | |
| "confidence": 1.0, | |
| "start_index": 279 | |
| }, | |
| { | |
| "text": "ู ุนูุงู:", | |
| "confidence": 1.0, | |
| "start_index": 285 | |
| }, | |
| { | |
| "text": "{(ุญูุชูู", | |
| "confidence": 1.0, | |
| "start_index": 292 | |
| }, | |
| { | |
| "text": "ููุฃูุชููู", | |
| "confidence": 1.0, | |
| "start_index": 300 | |
| }, | |
| { | |
| "text": "ุงูููู", | |
| "confidence": 1.0, | |
| "start_index": 309 | |
| }, | |
| { | |
| "text": "ุจูุฃูู ูุฑููู)}:ููุงู ", | |
| "confidence": 1.0, | |
| "start_index": 315 | |
| }, | |
| { | |
| "text": "ุงูุณุงุนุฉ", | |
| "confidence": 1.0, | |
| "start_index": 333 | |
| }, | |
| { | |
| "text": "ููุฌุงุฒููู ", | |
| "confidence": 1.0, | |
| "start_index": 340 | |
| }, | |
| { | |
| "text": "ุจุฃุนู ุงููู .", | |
| "confidence": 1.0, | |
| "start_index": 349 | |
| }, | |
| { | |
| "text": "{ุฅูููู", | |
| "confidence": 1.0, | |
| "start_index": 359 | |
| }, | |
| { | |
| "text": "ุงูููู", | |
| "confidence": 1.0, | |
| "start_index": 366 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 372 | |
| }, | |
| { | |
| "text": "ููููู", | |
| "confidence": 1.0, | |
| "start_index": 377 | |
| }, | |
| { | |
| "text": "\\frac{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 383 | |
| }, | |
| { | |
| "text": "j}{\\partial", | |
| "confidence": 1.0, | |
| "start_index": 398 | |
| }, | |
| { | |
| "text": "n}", | |
| "confidence": 1.0, | |
| "start_index": 410 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 413 | |
| }, | |
| { | |
| "text": "\\lim_{h", | |
| "confidence": 1.0, | |
| "start_index": 415 | |
| }, | |
| { | |
| "text": "\\to", | |
| "confidence": 1.0, | |
| "start_index": 423 | |
| }, | |
| { | |
| "text": "0}", | |
| "confidence": 1.0, | |
| "start_index": 427 | |
| }, | |
| { | |
| "text": "\\frac{\\log(n", | |
| "confidence": 1.0, | |
| "start_index": 430 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "h)", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 448 | |
| }, | |
| { | |
| "text": "\\log(n)}{h}", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\mathbb{E}[i]", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 478 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 483 | |
| }, | |
| { | |
| "text": "f_i(x)", | |
| "confidence": 1.0, | |
| "start_index": 485 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 495 | |
| }, | |
| { | |
| "text": "\\frac{t}{z^2}", | |
| "confidence": 1.0, | |
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| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
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| "content": "ุจุฑูุงู", | |
| "type": "title", | |
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| "content": "ุจูุชุงููู ุจูููู: {ูุงุชููููุง ุงูููุฐูููู ูุง ููุคูู ูููููู ุจูุงูููู ูููุง ุจูุงููููููู ู ุงููุขุฎูุฑู.}. ุงูุขูุฉุ", | |
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| "top_left_x": 32, | |
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| "content": "\\int_{0}^{100} \\log(\\sigma) \\, d\\sigma = x^2 \\cdot C + \\frac{\\beta}{\\beta^2}", | |
| "type": "text", | |
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| "content": "ุชุนุฑูู", | |
| "type": "title", | |
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| "content": "ุฅูู ูููู: {ููููู ู ุตุงุบูุฑูููู} (1) ูุบูุฑ ุฐูู ู ู ุงูุขูุงุชุ ููุชููุง ุจูู ูุฑูุธุฉุ ูุฃุฌููุง ุจูู ุงููุถูุฑ. ูููู: ู ุนูุงู: {(ุญูุชูู ููุฃูุชููู ุงูููู ุจูุฃูู ูุฑููู)}:ููุงู ุงูุณุงุนุฉ ููุฌุงุฒููู ุจุฃุนู ุงููู . {ุฅูููู ุงูููู ุนููู ููููู", | |
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| "top_left_x": 32, | |
| "top_left_y": 257, | |
| "bottom_right_x": 517, | |
| "bottom_right_y": 310, | |
| "content": "\\frac{\\partial j}{\\partial n} = \\lim_{h \\to 0} \\frac{\\log(n + h) - \\log(n)}{h}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
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| "top_left_x": 20, | |
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| "bottom_right_x": 533, | |
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| "content": "\\mathbb{E}[i] = \\int x f_i(x) dx + \\frac{t}{z^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
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| "page_font": "bahij-palatino-arabic.ttf", | |
| "title_font": "sf-nizar.otf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |