| { | |
| "markdown": "\\vec{F} = m\\vec{a}\n\"ุงูุฏูู ูุฅุฐุง ูุงู ูุฐูู ูู ููู ุตูุฉ ูู ุง ูุจููุ ูููู\"\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ุจุฑูุงู\nูููู ุจุฏูุง. ูุฅู ููุช: ุฅูู ุฃุฑูุฏ ุจู ุงูู ุงุถู ูุฃุถูู ูุฌุงุฒ ุฃู ูููู ูุตูุงู ูู ุง ูุจููุ ูุงูู ุนูู ู ุนูู ุงูู ุณุชูุจูุ ูู ุง ูุงู: (ูููุงุฏู ุฃูุตูุญุงุจู ุงููุฌููููุฉู) ยซ2ยป . ูุงููุฌู ุงูุฃูู ุฃุญุณู ูุฃูู ููุณ ูู ููุธู ู ุง ูุฏู\n\\sum_{\\lambda=0}^{100} \\frac{j^\\lambda}{\\lambda!} = e^{j}\n## ูุธุฑูุฉ\nุนูู ุงูู ุงุถูุ ูุงูุดูุก ุฅูู ุง ูุญู ู ูู ุงูู ุนูู ุนูู ู ุง ูุฎุงูู ูู ุงูููุธุ ูุญู ยซูุงุฏูยป ุ ููุงู ููุธู ููุธ ุงูู ุงุถู ูุงูู ุนูู ุงูู ุณุชูุจูุ ููุฐุง\n\\mathbb{E}[k] = \\int x f_k(x) dx\n## ู ูุงุญุธุฉ\nุงูุชูุฏูุฑ ูุง ูุตุญ ูู (ู ุงูููู ููููู ู ุงูุฏููููู) ยซ3ยป ุฅุฐ ูุง ููุงู: ููุธู ููุธ ุงูู ุงุถู ูู ุนูุงู ุงูู ุณุชูุจู. ูู ู ุฐูู ูููู ุชุนุงูู: (ููููู ููููุณู ุฐุงุฆูููุฉู ุงููู ูููุชู) ยซ4ยป ูููุง ุฐูู ูู ูุฌุฒ ุฎุจุฑุงู ุนูู ยซููยป ูุฃูู ูุง ูููู ุงูู ุจุชุฏุฃ ููุฑุฉ ูุงูุฎุจุฑ ู ุนุฑูุฉ. ูุธูุฑู ูู ุงูุฃูุจูุงุก:\n\\iint_{D} \\sigma^2 \\times \\mu^2 \\, dx \\, dy\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\sum_{\\mu=0}^{\\infty} \\frac{\\sigma^\\mu}{\\mu!} = e^{\\sigma}\n## ู ูุงุญุธุฉ\n(ููููู ููููุณู ุฐุงุฆูููุฉู ุงููู ูููุชู ููููุจููููููู ู ุจูุงูุดููุฑูู ููุงููุฎูููุฑู) ยซ5ยป .\n\\vec{F} = m\\vec{a}", | |
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| "hyperlinks": [], | |
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| "footer": null, | |
| "dimensions": { | |
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| "height": 1076, | |
| "width": 776 | |
| }, | |
| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "\\vec{F}", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 8 | |
| }, | |
| { | |
| "text": "m\\vec{a}", | |
| "confidence": 1.0, | |
| "start_index": 10 | |
| }, | |
| { | |
| "text": "\"ุงูุฏูู", | |
| "confidence": 1.0, | |
| "start_index": 19 | |
| }, | |
| { | |
| "text": "ูุฅุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 26 | |
| }, | |
| { | |
| "text": "ูุงู", | |
| "confidence": 1.0, | |
| "start_index": 31 | |
| }, | |
| { | |
| "text": "ูุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 35 | |
| }, | |
| { | |
| "text": "ูู ", | |
| "confidence": 1.0, | |
| "start_index": 40 | |
| }, | |
| { | |
| "text": "ููู", | |
| "confidence": 1.0, | |
| "start_index": 43 | |
| }, | |
| { | |
| "text": "ุตูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 47 | |
| }, | |
| { | |
| "text": "ูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 51 | |
| }, | |
| { | |
| "text": "ูุจููุ", | |
| "confidence": 1.0, | |
| "start_index": 55 | |
| }, | |
| { | |
| "text": "ูููู\"", | |
| "confidence": 1.0, | |
| "start_index": 61 | |
| }, | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 67 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 74 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 76 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 86 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 91 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 101 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 104 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 110 | |
| }, | |
| { | |
| "text": "ุจุฏูุง.", | |
| "confidence": 1.0, | |
| "start_index": 115 | |
| }, | |
| { | |
| "text": "ูุฅู", | |
| "confidence": 1.0, | |
| "start_index": 121 | |
| }, | |
| { | |
| "text": "ููุช:", | |
| "confidence": 1.0, | |
| "start_index": 125 | |
| }, | |
| { | |
| "text": "ุฅูู", | |
| "confidence": 1.0, | |
| "start_index": 130 | |
| }, | |
| { | |
| "text": "ุฃุฑูุฏ", | |
| "confidence": 1.0, | |
| "start_index": 134 | |
| }, | |
| { | |
| "text": "ุจู", | |
| "confidence": 1.0, | |
| "start_index": 139 | |
| }, | |
| { | |
| "text": "ุงูู ุงุถู", | |
| "confidence": 1.0, | |
| "start_index": 142 | |
| }, | |
| { | |
| "text": "ูุฃุถูู", | |
| "confidence": 1.0, | |
| "start_index": 149 | |
| }, | |
| { | |
| "text": "ูุฌุงุฒ", | |
| "confidence": 1.0, | |
| "start_index": 155 | |
| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 160 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 163 | |
| }, | |
| { | |
| "text": "ูุตูุงู", | |
| "confidence": 1.0, | |
| "start_index": 168 | |
| }, | |
| { | |
| "text": "ูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 174 | |
| }, | |
| { | |
| "text": "ูุจููุ", | |
| "confidence": 1.0, | |
| "start_index": 178 | |
| }, | |
| { | |
| "text": "ูุงูู ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 184 | |
| }, | |
| { | |
| "text": "ู ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 192 | |
| }, | |
| { | |
| "text": "ุงูู ุณุชูุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 197 | |
| }, | |
| { | |
| "text": "ูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 207 | |
| }, | |
| { | |
| "text": "ูุงู:", | |
| "confidence": 1.0, | |
| "start_index": 211 | |
| }, | |
| { | |
| "text": "(ูููุงุฏู", | |
| "confidence": 1.0, | |
| "start_index": 216 | |
| }, | |
| { | |
| "text": "ุฃูุตูุญุงุจู", | |
| "confidence": 1.0, | |
| "start_index": 224 | |
| }, | |
| { | |
| "text": "ุงููุฌููููุฉู)", | |
| "confidence": 1.0, | |
| "start_index": 233 | |
| }, | |
| { | |
| "text": "ยซ2ยป", | |
| "confidence": 1.0, | |
| "start_index": 245 | |
| }, | |
| { | |
| "text": ".", | |
| "confidence": 1.0, | |
| "start_index": 249 | |
| }, | |
| { | |
| "text": "ูุงููุฌู", | |
| "confidence": 1.0, | |
| "start_index": 251 | |
| }, | |
| { | |
| "text": "ุงูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 258 | |
| }, | |
| { | |
| "text": "ุฃุญุณู", | |
| "confidence": 1.0, | |
| "start_index": 264 | |
| }, | |
| { | |
| "text": "ูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 269 | |
| }, | |
| { | |
| "text": "ููุณ", | |
| "confidence": 1.0, | |
| "start_index": 274 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 278 | |
| }, | |
| { | |
| "text": "ููุธู", | |
| "confidence": 1.0, | |
| "start_index": 281 | |
| }, | |
| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
| "start_index": 286 | |
| }, | |
| { | |
| "text": "ูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 289 | |
| }, | |
| { | |
| "text": "\\sum_{\\lambda=0}^{100}", | |
| "confidence": 1.0, | |
| "start_index": 293 | |
| }, | |
| { | |
| "text": "\\frac{j^\\lambda}{\\lambda!}", | |
| "confidence": 1.0, | |
| "start_index": 316 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 343 | |
| }, | |
| { | |
| "text": "e^{j}", | |
| "confidence": 1.0, | |
| "start_index": 345 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 351 | |
| }, | |
| { | |
| "text": "ูุธุฑูุฉ", | |
| "confidence": 1.0, | |
| "start_index": 354 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 360 | |
| }, | |
| { | |
| "text": "ุงูู ุงุถูุ", | |
| "confidence": 1.0, | |
| "start_index": 364 | |
| }, | |
| { | |
| "text": "ูุงูุดูุก", | |
| "confidence": 1.0, | |
| "start_index": 372 | |
| }, | |
| { | |
| "text": "ุฅูู ุง", | |
| "confidence": 1.0, | |
| "start_index": 379 | |
| }, | |
| { | |
| "text": "ูุญู ู", | |
| "confidence": 1.0, | |
| "start_index": 384 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 389 | |
| }, | |
| { | |
| "text": "ุงูู ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 392 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 399 | |
| }, | |
| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
| "start_index": 403 | |
| }, | |
| { | |
| "text": "ูุฎุงูู", | |
| "confidence": 1.0, | |
| "start_index": 406 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 412 | |
| }, | |
| { | |
| "text": "ุงูููุธุ", | |
| "confidence": 1.0, | |
| "start_index": 415 | |
| }, | |
| { | |
| "text": "ูุญู", | |
| "confidence": 1.0, | |
| "start_index": 422 | |
| }, | |
| { | |
| "text": "ยซูุงุฏูยป", | |
| "confidence": 1.0, | |
| "start_index": 426 | |
| }, | |
| { | |
| "text": "ุ", | |
| "confidence": 1.0, | |
| "start_index": 433 | |
| }, | |
| { | |
| "text": "ููุงู", | |
| "confidence": 1.0, | |
| "start_index": 435 | |
| }, | |
| { | |
| "text": "ููุธู", | |
| "confidence": 1.0, | |
| "start_index": 440 | |
| }, | |
| { | |
| "text": "ููุธ", | |
| "confidence": 1.0, | |
| "start_index": 445 | |
| }, | |
| { | |
| "text": "ุงูู ุงุถู", | |
| "confidence": 1.0, | |
| "start_index": 449 | |
| }, | |
| { | |
| "text": "ูุงูู ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 456 | |
| }, | |
| { | |
| "text": "ุงูู ุณุชูุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 464 | |
| }, | |
| { | |
| "text": "ููุฐุง", | |
| "confidence": 1.0, | |
| "start_index": 474 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[k]", | |
| "confidence": 1.0, | |
| "start_index": 479 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 493 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 495 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 500 | |
| }, | |
| { | |
| "text": "f_k(x)", | |
| "confidence": 1.0, | |
| "start_index": 502 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 509 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 512 | |
| }, | |
| { | |
| "text": "ู ูุงุญุธุฉ", | |
| "confidence": 1.0, | |
| "start_index": 515 | |
| }, | |
| { | |
| "text": "ุงูุชูุฏูุฑ", | |
| "confidence": 1.0, | |
| "start_index": 522 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 530 | |
| }, | |
| { | |
| "text": "ูุตุญ", | |
| "confidence": 1.0, | |
| "start_index": 533 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 537 | |
| }, | |
| { | |
| "text": "(ู ุงูููู", | |
| "confidence": 1.0, | |
| "start_index": 540 | |
| }, | |
| { | |
| "text": "ููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 548 | |
| }, | |
| { | |
| "text": "ุงูุฏููููู)", | |
| "confidence": 1.0, | |
| "start_index": 555 | |
| }, | |
| { | |
| "text": "ยซ3ยป", | |
| "confidence": 1.0, | |
| "start_index": 565 | |
| }, | |
| { | |
| "text": "ุฅุฐ", | |
| "confidence": 1.0, | |
| "start_index": 569 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 572 | |
| }, | |
| { | |
| "text": "ููุงู:", | |
| "confidence": 1.0, | |
| "start_index": 575 | |
| }, | |
| { | |
| "text": "ููุธู", | |
| "confidence": 1.0, | |
| "start_index": 581 | |
| }, | |
| { | |
| "text": "ููุธ", | |
| "confidence": 1.0, | |
| "start_index": 586 | |
| }, | |
| { | |
| "text": "ุงูู ุงุถู", | |
| "confidence": 1.0, | |
| "start_index": 590 | |
| }, | |
| { | |
| "text": "ูู ุนูุงู", | |
| "confidence": 1.0, | |
| "start_index": 597 | |
| }, | |
| { | |
| "text": "ุงูู ุณุชูุจู.", | |
| "confidence": 1.0, | |
| "start_index": 604 | |
| }, | |
| { | |
| "text": "ูู ู", | |
| "confidence": 1.0, | |
| "start_index": 614 | |
| }, | |
| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 618 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 622 | |
| }, | |
| { | |
| "text": "ุชุนุงูู:", | |
| "confidence": 1.0, | |
| "start_index": 627 | |
| }, | |
| { | |
| "text": "(ููููู", | |
| "confidence": 1.0, | |
| "start_index": 634 | |
| }, | |
| { | |
| "text": "ููููุณู", | |
| "confidence": 1.0, | |
| "start_index": 641 | |
| }, | |
| { | |
| "text": "ุฐุงุฆูููุฉู", | |
| "confidence": 1.0, | |
| "start_index": 648 | |
| }, | |
| { | |
| "text": "ุงููู ูููุชู)", | |
| "confidence": 1.0, | |
| "start_index": 657 | |
| }, | |
| { | |
| "text": "ยซ4ยป", | |
| "confidence": 1.0, | |
| "start_index": 668 | |
| }, | |
| { | |
| "text": "ูููุง", | |
| "confidence": 1.0, | |
| "start_index": 672 | |
| }, | |
| { | |
| "text": "ุฐูู", | |
| "confidence": 1.0, | |
| "start_index": 677 | |
| }, | |
| { | |
| "text": "ูู ", | |
| "confidence": 1.0, | |
| "start_index": 681 | |
| }, | |
| { | |
| "text": "ูุฌุฒ", | |
| "confidence": 1.0, | |
| "start_index": 684 | |
| }, | |
| { | |
| "text": "ุฎุจุฑุงู", | |
| "confidence": 1.0, | |
| "start_index": 688 | |
| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
| "start_index": 694 | |
| }, | |
| { | |
| "text": "ยซููยป", | |
| "confidence": 1.0, | |
| "start_index": 698 | |
| }, | |
| { | |
| "text": "ูุฃูู", | |
| "confidence": 1.0, | |
| "start_index": 703 | |
| }, | |
| { | |
| "text": "ูุง", | |
| "confidence": 1.0, | |
| "start_index": 708 | |
| }, | |
| { | |
| "text": "ูููู", | |
| "confidence": 1.0, | |
| "start_index": 711 | |
| }, | |
| { | |
| "text": "ุงูู ุจุชุฏุฃ", | |
| "confidence": 1.0, | |
| "start_index": 716 | |
| }, | |
| { | |
| "text": "ููุฑุฉ", | |
| "confidence": 1.0, | |
| "start_index": 724 | |
| }, | |
| { | |
| "text": "ูุงูุฎุจุฑ", | |
| "confidence": 1.0, | |
| "start_index": 729 | |
| }, | |
| { | |
| "text": "ู ุนุฑูุฉ.", | |
| "confidence": 1.0, | |
| "start_index": 736 | |
| }, | |
| { | |
| "text": "ูุธูุฑู", | |
| "confidence": 1.0, | |
| "start_index": 743 | |
| }, | |
| { | |
| "text": "ูู", | |
| "confidence": 1.0, | |
| "start_index": 749 | |
| }, | |
| { | |
| "text": "ุงูุฃูุจูุงุก:", | |
| "confidence": 1.0, | |
| "start_index": 752 | |
| }, | |
| { | |
| "text": "\\iint_{D}", | |
| "confidence": 1.0, | |
| "start_index": 762 | |
| }, | |
| { | |
| "text": "\\sigma^2", | |
| "confidence": 1.0, | |
| "start_index": 772 | |
| }, | |
| { | |
| "text": "\\times", | |
| "confidence": 1.0, | |
| "start_index": 781 | |
| }, | |
| { | |
| "text": "\\mu^2", | |
| "confidence": 1.0, | |
| "start_index": 788 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 794 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 797 | |
| }, | |
| { | |
| "text": "\\,", | |
| "confidence": 1.0, | |
| "start_index": 800 | |
| }, | |
| { | |
| "text": "dy", | |
| "confidence": 1.0, | |
| "start_index": 803 | |
| }, | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 806 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 813 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 815 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 825 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 830 | |
| }, | |
| { | |
| "text": "\\sum_{\\mu=0}^{\\infty}", | |
| "confidence": 1.0, | |
| "start_index": 840 | |
| }, | |
| { | |
| "text": "\\frac{\\sigma^\\mu}{\\mu!}", | |
| "confidence": 1.0, | |
| "start_index": 862 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 886 | |
| }, | |
| { | |
| "text": "e^{\\sigma}", | |
| "confidence": 1.0, | |
| "start_index": 888 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 899 | |
| }, | |
| { | |
| "text": "ู ูุงุญุธุฉ", | |
| "confidence": 1.0, | |
| "start_index": 902 | |
| }, | |
| { | |
| "text": "(ููููู", | |
| "confidence": 1.0, | |
| "start_index": 909 | |
| }, | |
| { | |
| "text": "ููููุณู", | |
| "confidence": 1.0, | |
| "start_index": 916 | |
| }, | |
| { | |
| "text": "ุฐุงุฆูููุฉู", | |
| "confidence": 1.0, | |
| "start_index": 923 | |
| }, | |
| { | |
| "text": "ุงููู ูููุชู", | |
| "confidence": 1.0, | |
| "start_index": 932 | |
| }, | |
| { | |
| "text": "ููููุจููููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 942 | |
| }, | |
| { | |
| "text": "ุจูุงูุดููุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 956 | |
| }, | |
| { | |
| "text": "ููุงููุฎูููุฑู)", | |
| "confidence": 1.0, | |
| "start_index": 967 | |
| }, | |
| { | |
| "text": "ยซ5ยป", | |
| "confidence": 1.0, | |
| "start_index": 980 | |
| }, | |
| { | |
| "text": ".", | |
| "confidence": 1.0, | |
| "start_index": 984 | |
| }, | |
| { | |
| "text": "\\vec{F}", | |
| "confidence": 1.0, | |
| "start_index": 986 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 994 | |
| }, | |
| { | |
| "text": "m\\vec{a}", | |
| "confidence": 1.0, | |
| "start_index": 996 | |
| } | |
| ], | |
| "average_page_confidence_score": 1.0, | |
| "minimum_page_confidence_score": 1.0 | |
| }, | |
| "blocks": [ | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 46, | |
| "bottom_right_x": 736, | |
| "bottom_right_y": 90, | |
| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 1 | |
| }, | |
| { | |
| "top_left_x": 60, | |
| "top_left_y": 112, | |
| "bottom_right_x": 712, | |
| "bottom_right_y": 148, | |
| "content": "\"ุงูุฏูู ูุฅุฐุง ูุงู ูุฐูู ูู ููู ุตูุฉ ูู ุง ูุจููุ ูููู\"", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 2 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 170, | |
| "bottom_right_x": 736, | |
| "bottom_right_y": 235, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 3 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 253, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 275, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 280, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 325, | |
| "content": "ูููู ุจุฏูุง. ูุฅู ููุช: ุฅูู ุฃุฑูุฏ ุจู ุงูู ุงุถู ูุฃุถูู ูุฌุงุฒ ุฃู ูููู ูุตูุงู ูู ุง ูุจููุ ูุงูู ุนูู ู ุนูู ุงูู ุณุชูุจูุ ูู ุง ูุงู: (ูููุงุฏู ุฃูุตูุญุงุจู ุงููุฌููููุฉู) ยซ2ยป . ูุงููุฌู ุงูุฃูู ุฃุญุณู ูุฃูู ููุณ ูู ููุธู ู ุง ูุฏู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 331, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 398, | |
| "content": "\\sum_{\\lambda=0}^{100} \\frac{j^\\lambda}{\\lambda!} = e^{j}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 442, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 464, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 469, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 491, | |
| "content": "ุนูู ุงูู ุงุถูุ ูุงูุดูุก ุฅูู ุง ูุญู ู ูู ุงูู ุนูู ุนูู ู ุง ูุฎุงูู ูู ุงูููุธุ ูุญู ยซูุงุฏูยป ุ ููุงู ููุธู ููุธ ุงูู ุงุถู ูุงูู ุนูู ุงูู ุณุชูุจูุ ููุฐุง", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 497, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 551, | |
| "content": "\\mathbb{E}[k] = \\int x f_k(x) dx", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 595, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 617, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 622, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 667, | |
| "content": "ุงูุชูุฏูุฑ ูุง ูุตุญ ูู (ู ุงูููู ููููู ู ุงูุฏููููู) ยซ3ยป ุฅุฐ ูุง ููุงู: ููุธู ููุธ ุงูู ุงุถู ูู ุนูุงู ุงูู ุณุชูุจู. ูู ู ุฐูู ูููู ุชุนุงูู: (ููููู ููููุณู ุฐุงุฆูููุฉู ุงููู ูููุชู) ยซ4ยป ูููุง ุฐูู ูู ูุฌุฒ ุฎุจุฑุงู ุนูู ยซููยป ูุฃูู ูุง ูููู ุงูู ุจุชุฏุฃ ููุฑุฉ ูุงูุฎุจุฑ ู ุนุฑูุฉ. ูุธูุฑู ูู ุงูุฃูุจูุงุก:", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 673, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 727, | |
| "content": "\\iint_{D} \\sigma^2 \\times \\mu^2 \\, dx \\, dy", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 759, | |
| "bottom_right_x": 736, | |
| "bottom_right_y": 815, | |
| "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": 821, | |
| "bottom_right_x": 736, | |
| "bottom_right_y": 894, | |
| "content": "\\sum_{\\mu=0}^{\\infty} \\frac{\\sigma^\\mu}{\\mu!} = e^{\\sigma}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 912, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 934, | |
| "content": "ู ูุงุญุธุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 939, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 961, | |
| "content": "(ููููู ููููุณู ุฐุงุฆูููุฉู ุงููู ูููุชู ููููุจููููููู ู ุจูุงูุดููุฑูู ููุงููุฎูููุฑู) ยซ5ยป .", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 967, | |
| "bottom_right_x": 720, | |
| "bottom_right_y": 1006, | |
| "content": "\\vec{F} = m\\vec{a}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": "quote", | |
| "page_font": "kufi-al-gharib-7017.ttf", | |
| "title_font": "muna-bold.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |