| { | |
| "markdown": "## ุจุฑูุงู\n- ุญูุฏููุซูููุง ุฃูุจูู ุฒูููุฑููููุง ุงููุนูููุจูุฑููููุ ููุฃูุจูู ุจูููุฑู ุจููู ุฌูุนูููุฑู ุงููู ูุฒูููููุ ููุนูุจูุฏู ุงูููููู ุจููู ุณูุนูุฏู ุงููุญูุงููุธูุ ููุนูููููู ุจููู ุนููุณูู ุงููุญููุฑููููุ ููุงูููุง: ุซูููุง ุฃูุจูู ุนูุจูุฏู ุงูููููู ู ูุญูู ููุฏู ุจููู ุฅูุจูุฑูุงูููู ู ุงููุนูุจูุฏููููุ ุซูููุง ุณูููููู ูุงูู ุจููู ุนูุจูุฏู ุงูุฑููุญูู ููู ุงูุฏููู ูุดููููููุ ุซูููุง ุงูููููููุฏู ุจููู ู ูุณูููู ูุ ุซูููุง ุงุจููู ุฌูุฑูููุฌูุ ุนููู ุนูู ูุฑูู ุจููู ุดูุนูููุจูุ ุนููู ุฃูุจููููุ ุนููู ุฌูุฏููููุ ููุงูู: ููุงูู ุฑูุณูููู ุงูููููู ุตูู ุงููู ุนููู ูุณูู : ยซู ููู\n\\mathbb{E}[t] = \\int x f_t(x) dx + \\frac{\\mu}{\\theta^2}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## ุจุฑูุงู\nุชูุทูุจููุจู ููููู ู ููุนูุฑููู ู ููููู ุทูุจูู ูููููู ุถูุงู ูููยป ููุฐูุง ุญูุฏููุซู ุตูุญููุญู ุงููุฅูุณูููุงุฏู ููููู ู ููุฎูุฑููุฌูุงูู \" 7484 - ุตุญูุญ\n\\nabla_{\\beta} J(\\beta) = \\frac{1}{m} X^T ( \\sigma(X \\beta) - Y ) + \\frac{\\sigma}{\\beta^2}\n## ู ุจุฑููุฉ\nุงููุจูุฒููุงุฑูุ ุซูููุง ุฃูุจูู ุงููุฌูู ูุงููุฑู ู ูุญูู ููุฏู ุจููู ุนูุซูู ูุงูู ุงูุชูููููุฎููููุ ุซูููุง ุนูุจูุฏู ุงููุนูุฒููุฒู ุจููู ู ูุญูู ููุฏู ุงูุฏููุฑูุงููุฑูุฏููููุ ุนููู ุฃูุจูู ุซูููุงููุ ุนููู ุฑูุจูุงุญู ุจููู ุนูุจูุฏู ุงููููููุ ุนููู ุฃูุจูู ููุฑูููุฑูุฉูุ ุฑุถู ุงููู ุนูู ุฃูููู ุฑูุณูููู ุงูููููู ุตูู ุงููู ุนููู ูุณูู ููุงูู:\n\\prod_{y=1}^{n} (1 = \\beta_y) = 0\n## ูุธุฑูุฉ\nยซุฏูู ู ุนูููุฑูุงุกู ุฃูุญูุจูู ุฅูููููู ู ููู ุฏูู ู ุณูููุฏูุงููููููยป 7543 - ุณูุช ุนูู ุงูุฐูุจู ูู ุงูุชูุฎูุต\n\\sum_{\\sigma=0}^{\\infty} \\frac{i^\\sigma}{\\sigma!} = e^{i} + \\frac{i}{z^2}\n## ุจุฑูุงู\nุฃู ุฑูู ูู ูู ู ูุฉ ู ู ุฃูุฏููู ุ ูุงููุฑุถุช ุฏููุชูู ูุงูุจูุงุก ููููู. โ โุงูุฎุจุฑ ุนู ุจูู ูุชุงุฏุฉ ุฃู ุฑุงุก ู ูุฉ ุจุนุฏ ุงูููุงุดู ุซู ุนู ุจูู ุฃุจู ูู ูุฑ ู ููู ุฃู ุฑุงุฆูุง ููุฐุง ุงูุนูุฏ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\frac{\\partial \\theta}{\\partial k} = \\lim_{h \\to 0} \\frac{\\log(k + h) - \\log(k)}{h} + \\frac{y}{\\lambda^2}", | |
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| "confidence_scores": { | |
| "word_confidence_scores": [ | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 0 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 3 | |
| }, | |
| { | |
| "text": "-", | |
| "confidence": 1.0, | |
| "start_index": 9 | |
| }, | |
| { | |
| "text": "ุญูุฏููุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 11 | |
| }, | |
| { | |
| "text": "ุฃูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 22 | |
| }, | |
| { | |
| "text": "ุฒูููุฑููููุง", | |
| "confidence": 1.0, | |
| "start_index": 28 | |
| }, | |
| { | |
| "text": "ุงููุนูููุจูุฑููููุ", | |
| "confidence": 1.0, | |
| "start_index": 39 | |
| }, | |
| { | |
| "text": "ููุฃูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 55 | |
| }, | |
| { | |
| "text": "ุจูููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 63 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 70 | |
| }, | |
| { | |
| "text": "ุฌูุนูููุฑู", | |
| "confidence": 1.0, | |
| "start_index": 75 | |
| }, | |
| { | |
| "text": "ุงููู ูุฒูููููุ", | |
| "confidence": 1.0, | |
| "start_index": 84 | |
| }, | |
| { | |
| "text": "ููุนูุจูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 97 | |
| }, | |
| { | |
| "text": "ุงูููููู", | |
| "confidence": 1.0, | |
| "start_index": 106 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 114 | |
| }, | |
| { | |
| "text": "ุณูุนูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 119 | |
| }, | |
| { | |
| "text": "ุงููุญูุงููุธูุ", | |
| "confidence": 1.0, | |
| "start_index": 126 | |
| }, | |
| { | |
| "text": "ููุนูููููู", | |
| "confidence": 1.0, | |
| "start_index": 138 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 148 | |
| }, | |
| { | |
| "text": "ุนููุณูู", | |
| "confidence": 1.0, | |
| "start_index": 153 | |
| }, | |
| { | |
| "text": "ุงููุญููุฑููููุ", | |
| "confidence": 1.0, | |
| "start_index": 160 | |
| }, | |
| { | |
| "text": "ููุงูููุง:", | |
| "confidence": 1.0, | |
| "start_index": 173 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 182 | |
| }, | |
| { | |
| "text": "ุฃูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 188 | |
| }, | |
| { | |
| "text": "ุนูุจูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 194 | |
| }, | |
| { | |
| "text": "ุงูููููู", | |
| "confidence": 1.0, | |
| "start_index": 201 | |
| }, | |
| { | |
| "text": "ู ูุญูู ููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 209 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 219 | |
| }, | |
| { | |
| "text": "ุฅูุจูุฑูุงูููู ู", | |
| "confidence": 1.0, | |
| "start_index": 224 | |
| }, | |
| { | |
| "text": "ุงููุนูุจูุฏููููุ", | |
| "confidence": 1.0, | |
| "start_index": 237 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 251 | |
| }, | |
| { | |
| "text": "ุณูููููู ูุงูู", | |
| "confidence": 1.0, | |
| "start_index": 257 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 269 | |
| }, | |
| { | |
| "text": "ุนูุจูุฏู", | |
| "confidence": 1.0, | |
| "start_index": 274 | |
| }, | |
| { | |
| "text": "ุงูุฑููุญูู ููู", | |
| "confidence": 1.0, | |
| "start_index": 281 | |
| }, | |
| { | |
| "text": "ุงูุฏููู ูุดููููููุ", | |
| "confidence": 1.0, | |
| "start_index": 293 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 309 | |
| }, | |
| { | |
| "text": "ุงูููููููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 315 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 326 | |
| }, | |
| { | |
| "text": "ู ูุณูููู ูุ", | |
| "confidence": 1.0, | |
| "start_index": 331 | |
| }, | |
| { | |
| "text": "ุซูููุง", | |
| "confidence": 1.0, | |
| "start_index": 341 | |
| }, | |
| { | |
| "text": "ุงุจููู", | |
| "confidence": 1.0, | |
| "start_index": 347 | |
| }, | |
| { | |
| "text": "ุฌูุฑูููุฌูุ", | |
| "confidence": 1.0, | |
| "start_index": 353 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 363 | |
| }, | |
| { | |
| "text": "ุนูู ูุฑูู", | |
| "confidence": 1.0, | |
| "start_index": 368 | |
| }, | |
| { | |
| "text": "ุจููู", | |
| "confidence": 1.0, | |
| "start_index": 376 | |
| }, | |
| { | |
| "text": "ุดูุนูููุจูุ", | |
| "confidence": 1.0, | |
| "start_index": 381 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 391 | |
| }, | |
| { | |
| "text": "ุฃูุจููููุ", | |
| "confidence": 1.0, | |
| "start_index": 396 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 405 | |
| }, | |
| { | |
| "text": "ุฌูุฏููููุ", | |
| "confidence": 1.0, | |
| "start_index": 410 | |
| }, | |
| { | |
| "text": "ููุงูู:", | |
| "confidence": 1.0, | |
| "start_index": 419 | |
| }, | |
| { | |
| "text": "ููุงูู", | |
| "confidence": 1.0, | |
| "start_index": 426 | |
| }, | |
| { | |
| "text": "ุฑูุณูููู", | |
| "confidence": 1.0, | |
| "start_index": 432 | |
| }, | |
| { | |
| "text": "ุงูููููู", | |
| "confidence": 1.0, | |
| "start_index": 440 | |
| }, | |
| { | |
| "text": "ุตูู", | |
| "confidence": 1.0, | |
| "start_index": 448 | |
| }, | |
| { | |
| "text": "ุงููู", | |
| "confidence": 1.0, | |
| "start_index": 452 | |
| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 457 | |
| }, | |
| { | |
| "text": "ูุณูู :", | |
| "confidence": 1.0, | |
| "start_index": 462 | |
| }, | |
| { | |
| "text": "ยซู ููู", | |
| "confidence": 1.0, | |
| "start_index": 468 | |
| }, | |
| { | |
| "text": "\\mathbb{E}[t]", | |
| "confidence": 1.0, | |
| "start_index": 474 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 488 | |
| }, | |
| { | |
| "text": "\\int", | |
| "confidence": 1.0, | |
| "start_index": 490 | |
| }, | |
| { | |
| "text": "x", | |
| "confidence": 1.0, | |
| "start_index": 495 | |
| }, | |
| { | |
| "text": "f_t(x)", | |
| "confidence": 1.0, | |
| "start_index": 497 | |
| }, | |
| { | |
| "text": "dx", | |
| "confidence": 1.0, | |
| "start_index": 504 | |
| }, | |
| { | |
| "text": "+", | |
| "confidence": 1.0, | |
| "start_index": 507 | |
| }, | |
| { | |
| "text": "\\frac{\\mu}{\\theta^2}", | |
| "confidence": 1.0, | |
| "start_index": 509 | |
| }, | |
| { | |
| "text": "P(A|B)", | |
| "confidence": 1.0, | |
| "start_index": 530 | |
| }, | |
| { | |
| "text": "=", | |
| "confidence": 1.0, | |
| "start_index": 537 | |
| }, | |
| { | |
| "text": "\\frac{P(A", | |
| "confidence": 1.0, | |
| "start_index": 539 | |
| }, | |
| { | |
| "text": "\\cap", | |
| "confidence": 1.0, | |
| "start_index": 549 | |
| }, | |
| { | |
| "text": "B)}{P(B)}", | |
| "confidence": 1.0, | |
| "start_index": 554 | |
| }, | |
| { | |
| "text": "##", | |
| "confidence": 1.0, | |
| "start_index": 564 | |
| }, | |
| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
| "start_index": 567 | |
| }, | |
| { | |
| "text": "ุชูุทูุจููุจู", | |
| "confidence": 1.0, | |
| "start_index": 573 | |
| }, | |
| { | |
| "text": "ููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 583 | |
| }, | |
| { | |
| "text": "ููุนูุฑููู", | |
| "confidence": 1.0, | |
| "start_index": 590 | |
| }, | |
| { | |
| "text": "ู ููููู", | |
| "confidence": 1.0, | |
| "start_index": 599 | |
| }, | |
| { | |
| "text": "ุทูุจูู", | |
| "confidence": 1.0, | |
| "start_index": 606 | |
| }, | |
| { | |
| "text": "ูููููู", | |
| "confidence": 1.0, | |
| "start_index": 612 | |
| }, | |
| { | |
| "text": "ุถูุงู ูููยป", | |
| "confidence": 1.0, | |
| "start_index": 619 | |
| }, | |
| { | |
| "text": "ููุฐูุง", | |
| "confidence": 1.0, | |
| "start_index": 628 | |
| }, | |
| { | |
| "text": "ุญูุฏููุซู", | |
| "confidence": 1.0, | |
| "start_index": 634 | |
| }, | |
| { | |
| "text": "ุตูุญููุญู", | |
| "confidence": 1.0, | |
| "start_index": 642 | |
| }, | |
| { | |
| "text": "ุงููุฅูุณูููุงุฏู", | |
| "confidence": 1.0, | |
| "start_index": 650 | |
| }, | |
| { | |
| "text": "ููููู ู", | |
| "confidence": 1.0, | |
| "start_index": 663 | |
| }, | |
| { | |
| "text": "ููุฎูุฑููุฌูุงูู", | |
| "confidence": 1.0, | |
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| { | |
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| }, | |
| { | |
| "text": "-", | |
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| "start_index": 690 | |
| }, | |
| { | |
| "text": "ุตุญูุญ", | |
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| { | |
| "text": "\\nabla_{\\beta}", | |
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| }, | |
| { | |
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| { | |
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| { | |
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| { | |
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| { | |
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| { | |
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| }, | |
| { | |
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| }, | |
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| { | |
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| { | |
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| { | |
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| { | |
| "text": "ู ุจุฑููุฉ", | |
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| }, | |
| { | |
| "text": "ุงููุจูุฒููุงุฑูุ", | |
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| }, | |
| { | |
| "text": "ุซูููุง", | |
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| }, | |
| { | |
| "text": "ุฃูุจูู", | |
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| }, | |
| { | |
| "text": "ุงููุฌูู ูุงููุฑู", | |
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| }, | |
| { | |
| "text": "ู ูุญูู ููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 836 | |
| }, | |
| { | |
| "text": "ุจููู", | |
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| "start_index": 846 | |
| }, | |
| { | |
| "text": "ุนูุซูู ูุงูู", | |
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| "start_index": 851 | |
| }, | |
| { | |
| "text": "ุงูุชูููููุฎููููุ", | |
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| }, | |
| { | |
| "text": "ุซูููุง", | |
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| "start_index": 876 | |
| }, | |
| { | |
| "text": "ุนูุจูุฏู", | |
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| }, | |
| { | |
| "text": "ุงููุนูุฒููุฒู", | |
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| }, | |
| { | |
| "text": "ุจููู", | |
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| "start_index": 900 | |
| }, | |
| { | |
| "text": "ู ูุญูู ููุฏู", | |
| "confidence": 1.0, | |
| "start_index": 905 | |
| }, | |
| { | |
| "text": "ุงูุฏููุฑูุงููุฑูุฏููููุ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุนููู", | |
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| "start_index": 934 | |
| }, | |
| { | |
| "text": "ุฃูุจูู", | |
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| }, | |
| { | |
| "text": "ุซูููุงููุ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุนููู", | |
| "confidence": 1.0, | |
| "start_index": 954 | |
| }, | |
| { | |
| "text": "ุฑูุจูุงุญู", | |
| "confidence": 1.0, | |
| "start_index": 959 | |
| }, | |
| { | |
| "text": "ุจููู", | |
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| "start_index": 967 | |
| }, | |
| { | |
| "text": "ุนูุจูุฏู", | |
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| "start_index": 972 | |
| }, | |
| { | |
| "text": "ุงููููููุ", | |
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| }, | |
| { | |
| "text": "ุนููู", | |
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| }, | |
| { | |
| "text": "ุฃูุจูู", | |
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| }, | |
| { | |
| "text": "ููุฑูููุฑูุฉูุ", | |
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| "start_index": 999 | |
| }, | |
| { | |
| "text": "ุฑุถู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุงููู", | |
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| }, | |
| { | |
| "text": "ุนูู", | |
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| { | |
| "text": "ุฃูููู", | |
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| }, | |
| { | |
| "text": "ุฑูุณูููู", | |
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| }, | |
| { | |
| "text": "ุงูููููู", | |
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| }, | |
| { | |
| "text": "ุตูู", | |
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| }, | |
| { | |
| "text": "ุงููู", | |
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| { | |
| "text": "ุนููู", | |
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| { | |
| "text": "ูุณูู ", | |
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| { | |
| "text": "ููุงูู:", | |
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| { | |
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| }, | |
| { | |
| "text": "ยซุฏูู ู", | |
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| { | |
| "text": "ุนูููุฑูุงุกู", | |
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| }, | |
| { | |
| "text": "ุฃูุญูุจูู", | |
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| }, | |
| { | |
| "text": "ุฅูููููู", | |
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| }, | |
| { | |
| "text": "ู ููู", | |
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| }, | |
| { | |
| "text": "ุฏูู ู", | |
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| }, | |
| { | |
| "text": "ุณูููุฏูุงููููููยป", | |
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| }, | |
| { | |
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| }, | |
| { | |
| "text": "ุณูุช", | |
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| { | |
| "text": "ุนูู", | |
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| { | |
| "text": "ุงูุฐูุจู", | |
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| { | |
| "text": "ูู", | |
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| }, | |
| { | |
| "text": "ุงูุชูุฎูุต", | |
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| { | |
| "text": "\\sum_{\\sigma=0}^{\\infty}", | |
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| }, | |
| { | |
| "text": "\\frac{i^\\sigma}{\\sigma!}", | |
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| { | |
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| "text": "ุจุฑูุงู", | |
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| "text": "ูู ูู", | |
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| "text": "ู ูุฉ", | |
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| { | |
| "text": "ู ู", | |
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| { | |
| "text": "ุฃูุฏููู ุ", | |
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| { | |
| "text": "ูุงููุฑุถุช", | |
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| { | |
| "text": "ุฏููุชูู ", | |
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| }, | |
| { | |
| "text": "ูุงูุจูุงุก", | |
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| }, | |
| { | |
| "text": "ููููู.", | |
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| }, | |
| { | |
| "text": "โ", | |
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| }, | |
| { | |
| "text": "โุงูุฎุจุฑ", | |
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| }, | |
| { | |
| "text": "ุนู", | |
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| { | |
| "text": "ุจูู", | |
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| }, | |
| { | |
| "text": "ูุชุงุฏุฉ", | |
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| }, | |
| { | |
| "text": "ุฃู ุฑุงุก", | |
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| }, | |
| { | |
| "text": "ู ูุฉ", | |
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| }, | |
| { | |
| "text": "ุจุนุฏ", | |
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| }, | |
| { | |
| "text": "ุงูููุงุดู ", | |
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| }, | |
| { | |
| "text": "ุซู ", | |
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| }, | |
| { | |
| "text": "ุนู", | |
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| }, | |
| { | |
| "text": "ุจูู", | |
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| }, | |
| { | |
| "text": "ุฃุจู", | |
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| }, | |
| { | |
| "text": "ูู ูุฑ", | |
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| }, | |
| { | |
| "text": "ู ููู ", | |
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| "start_index": 1407 | |
| }, | |
| { | |
| "text": "ุฃู ุฑุงุฆูุง", | |
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| }, | |
| { | |
| "text": "ููุฐุง", | |
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| }, | |
| { | |
| "text": "ุงูุนูุฏ", | |
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| { | |
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| }, | |
| { | |
| "text": "=", | |
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| { | |
| "text": "\\frac{P(A", | |
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| "start_index": 1440 | |
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| { | |
| "text": "\\cap", | |
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| "start_index": 1450 | |
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| "text": "B)}{P(B)}", | |
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| "content": "- ุญูุฏููุซูููุง ุฃูุจูู ุฒูููุฑููููุง ุงููุนูููุจูุฑููููุ ููุฃูุจูู ุจูููุฑู ุจููู ุฌูุนูููุฑู ุงููู ูุฒูููููุ ููุนูุจูุฏู ุงูููููู ุจููู ุณูุนูุฏู ุงููุญูุงููุธูุ ููุนูููููู ุจููู ุนููุณูู ุงููุญููุฑููููุ ููุงูููุง: ุซูููุง ุฃูุจูู ุนูุจูุฏู ุงูููููู ู ูุญูู ููุฏู ุจููู ุฅูุจูุฑูุงูููู ู ุงููุนูุจูุฏููููุ ุซูููุง ุณูููููู ูุงูู ุจููู ุนูุจูุฏู ุงูุฑููุญูู ููู ุงูุฏููู ูุดููููููุ ุซูููุง ุงูููููููุฏู ุจููู ู ูุณูููู ูุ ุซูููุง ุงุจููู ุฌูุฑูููุฌูุ ุนููู ุนูู ูุฑูู ุจููู ุดูุนูููุจูุ ุนููู ุฃูุจููููุ ุนููู ุฌูุฏููููุ ููุงูู: ููุงูู ุฑูุณูููู ุงูููููู ุตูู ุงููู ุนููู ูุณูู : ยซู ููู", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 2 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 132, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 186, | |
| "content": "\\mathbb{E}[t] = \\int x f_t(x) dx + \\frac{\\mu}{\\theta^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 3 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 218, | |
| "bottom_right_x": 781, | |
| "bottom_right_y": 282, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 4 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 300, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 324, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 5 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 329, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 352, | |
| "content": "ุชูุทูุจููุจู ููููู ู ููุนูุฑููู ู ููููู ุทูุจูู ูููููู ุถูุงู ูููยป ููุฐูุง ุญูุฏููุซู ุตูุญููุญู ุงููุฅูุณูููุงุฏู ููููู ู ููุฎูุฑููุฌูุงูู \" 7484 - ุตุญูุญ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 6 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 358, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 411, | |
| "content": "\\nabla_{\\beta} J(\\beta) = \\frac{1}{m} X^T ( \\sigma(X \\beta) - Y ) + \\frac{\\sigma}{\\beta^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 455, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 479, | |
| "content": "ู ุจุฑููุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 484, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 529, | |
| "content": "ุงููุจูุฒููุงุฑูุ ุซูููุง ุฃูุจูู ุงููุฌูู ูุงููุฑู ู ูุญูู ููุฏู ุจููู ุนูุซูู ูุงูู ุงูุชูููููุฎููููุ ุซูููุง ุนูุจูุฏู ุงููุนูุฒููุฒู ุจููู ู ูุญูู ููุฏู ุงูุฏููุฑูุงููุฑูุฏููููุ ุนููู ุฃูุจูู ุซูููุงููุ ุนููู ุฑูุจูุงุญู ุจููู ุนูุจูุฏู ุงููููููุ ุนููู ุฃูุจูู ููุฑูููุฑูุฉูุ ุฑุถู ุงููู ุนูู ุฃูููู ุฑูุณูููู ุงูููููู ุตูู ุงููู ุนููู ูุณูู ููุงูู:", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 535, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 601, | |
| "content": "\\prod_{y=1}^{n} (1 = \\beta_y) = 0", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 645, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 669, | |
| "content": "ูุธุฑูุฉ", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 11 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 674, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 697, | |
| "content": "ยซุฏูู ู ุนูููุฑูุงุกู ุฃูุญูุจูู ุฅูููููู ู ููู ุฏูู ู ุณูููุฏูุงููููููยป 7543 - ุณูุช ุนูู ุงูุฐูุจู ูู ุงูุชูุฎูุต", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 12 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 703, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 767, | |
| "content": "\\sum_{\\sigma=0}^{\\infty} \\frac{i^\\sigma}{\\sigma!} = e^{i} + \\frac{i}{z^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 13 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 811, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 835, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 14 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 840, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 863, | |
| "content": "ุฃู ุฑูู ูู ูู ู ูุฉ ู ู ุฃูุฏููู ุ ูุงููุฑุถุช ุฏููุชูู ูุงูุจูุงุก ููููู. โ โุงูุฎุจุฑ ุนู ุจูู ูุชุงุฏุฉ ุฃู ุฑุงุก ู ูุฉ ุจุนุฏ ุงูููุงุดู ุซู ุนู ุจูู ุฃุจู ูู ูุฑ ู ููู ุฃู ุฑุงุฆูุง ููุฐุง ุงูุนูุฏ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 15 | |
| }, | |
| { | |
| "top_left_x": 52, | |
| "top_left_y": 869, | |
| "bottom_right_x": 765, | |
| "bottom_right_y": 925, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 16 | |
| }, | |
| { | |
| "top_left_x": 40, | |
| "top_left_y": 957, | |
| "bottom_right_x": 781, | |
| "bottom_right_y": 1012, | |
| "content": "\\frac{\\partial \\theta}{\\partial k} = \\lim_{h \\to 0} \\frac{\\log(k + h) - \\log(k)}{h} + \\frac{y}{\\lambda^2}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 17 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "abo-slman-alomar-1-munaqat.ttf", | |
| "title_font": "abo-slman-alomar-1-munaqat.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |