| { | |
| "markdown": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{\\beta}{x^2}\n## ุจุฑูุงู\nูุฃูุซุฑูู ุงูุฌูุงููุฉ. ููุงู ุงูููุท ูุฏ ุชู ูููู ูุบูุจูุง ุนูู ุฃู ุฑู ูู ุฆูู ู ู ุงูุณููู ูุจู ุงูุฅุณูุงู ุจุนุฏ ุญุฑูุจ ูุงูุช ููู ู ุน ุงููุทููููู ุญุงุตุฑูุง ูููุง ุฑูู ุฉ. ุซู ุนูุฏูุง ู ุนูู ุงูุณูู ุนูู ุฃู\n\\sum_{i=0}^{100} \\frac{\\mu^i}{i!} = e^{\\mu}\n## ุชุนุฑูู\nุชูุตุฑู ุงูููุท ุฅูู ุงูุฃูุฏูุณุ ูุณุงุฑูุง ุฅูููุง ูู ููููุง. ููู ุง ุฃุฎุฐ ุงูุฑูู ูุงููุทููููู ูุจุณูุฉ [1] ุงููุตุฑุงููุฉ ุญู ููุง ู ู ูุฑุงุกูู ุจุงูู ุบุฑุจ ู ู\n\\int_{2}^{M} \\exp(y) \\, dy = \\alpha^2 + C\n## ุจุฑูุงู\nุฃูู ุฅูุฑูุฌุฉ ูุงูููุท ุนูููุง ูุฏุงููุง ุจูุง ููุงู ู ููู ุงูููุท ููุฒููู ุทููุทูุฉ ููุงูุช ุฏุงุฑ ู ูููู . ูุฑุจู ุง ุงูุชูููุง ู ุง ุจูููุงุ ูุจูู ูุฑุทุจุฉ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
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| { | |
| "text": "P(A|B)", | |
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| }, | |
| { | |
| "text": "=", | |
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| }, | |
| { | |
| "text": "\\frac{P(A", | |
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| }, | |
| { | |
| "text": "\\cap", | |
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| }, | |
| { | |
| "text": "B)}{P(B)}", | |
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| }, | |
| { | |
| "text": "+", | |
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| }, | |
| { | |
| "text": "\\frac{\\beta}{x^2}", | |
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| { | |
| "text": "##", | |
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| { | |
| "text": "ุจุฑูุงู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ูุฃูุซุฑูู ", | |
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| }, | |
| { | |
| "text": "ุงูุฌูุงููุฉ.", | |
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| "start_index": 71 | |
| }, | |
| { | |
| "text": "ููุงู", | |
| "confidence": 1.0, | |
| "start_index": 81 | |
| }, | |
| { | |
| "text": "ุงูููุท", | |
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| }, | |
| { | |
| "text": "ูุฏ", | |
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| }, | |
| { | |
| "text": "ุชู ูููู", | |
| "confidence": 1.0, | |
| "start_index": 95 | |
| }, | |
| { | |
| "text": "ูุบูุจูุง", | |
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| }, | |
| { | |
| "text": "ุนูู", | |
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| }, | |
| { | |
| "text": "ุฃู ุฑู", | |
| "confidence": 1.0, | |
| "start_index": 113 | |
| }, | |
| { | |
| "text": "ูู ุฆูู", | |
| "confidence": 1.0, | |
| "start_index": 118 | |
| }, | |
| { | |
| "text": "ู ู", | |
| "confidence": 1.0, | |
| "start_index": 124 | |
| }, | |
| { | |
| "text": "ุงูุณููู", | |
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| }, | |
| { | |
| "text": "ูุจู", | |
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| "text": "ุงูุฅุณูุงู ", | |
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| "text": "ุจุนุฏ", | |
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| "start_index": 146 | |
| }, | |
| { | |
| "text": "ุญุฑูุจ", | |
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| "start_index": 150 | |
| }, | |
| { | |
| "text": "ูุงูุช", | |
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| "start_index": 155 | |
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| { | |
| "text": "ููู ", | |
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| "start_index": 160 | |
| }, | |
| { | |
| "text": "ู ุน", | |
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| }, | |
| { | |
| "text": "ุงููุทููููู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุญุงุตุฑูุง", | |
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| { | |
| "text": "ูููุง", | |
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| }, | |
| { | |
| "text": "ุฑูู ุฉ.", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุซู ", | |
| "confidence": 1.0, | |
| "start_index": 195 | |
| }, | |
| { | |
| "text": "ุนูุฏูุง", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ุนูู ", | |
| "confidence": 1.0, | |
| "start_index": 204 | |
| }, | |
| { | |
| "text": "ุงูุณูู ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุนูู", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฃู", | |
| "confidence": 1.0, | |
| "start_index": 219 | |
| }, | |
| { | |
| "text": "\\sum_{i=0}^{100}", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "\\frac{\\mu^i}{i!}", | |
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| "text": "ุงูููุท", | |
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| { | |
| "text": "ุงูุฃูุฏูุณุ", | |
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| { | |
| "text": "ูุณุงุฑูุง", | |
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| { | |
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| { | |
| "text": "ููู ุง", | |
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| { | |
| "text": "ูุงููุทููููู", | |
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| { | |
| "text": "ูุจุณูุฉ", | |
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| "text": "ุงููุตุฑุงููุฉ", | |
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| "text": "ู ู", | |
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| { | |
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| { | |
| "text": "ุจุงูู ุบุฑุจ", | |
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| { | |
| "text": "ู ู", | |
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| "text": "ุฅูุฑูุฌุฉ", | |
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| "text": "ุนูููุง", | |
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| { | |
| "text": "ูุฏุงููุง", | |
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| { | |
| "text": "ุจูุง", | |
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| { | |
| "text": "ููุงู", | |
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| { | |
| "text": "ู ููู", | |
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| { | |
| "text": "ุงูููุท", | |
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| "text": "ููุฒููู", | |
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| { | |
| "text": "ุทููุทูุฉ", | |
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| { | |
| "text": "ููุงูุช", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ุฏุงุฑ", | |
| "confidence": 1.0, | |
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| }, | |
| { | |
| "text": "ู ูููู .", | |
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| }, | |
| { | |
| "text": "ูุฑุจู ุง", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุงูุชูููุง", | |
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| { | |
| "text": "ู ุง", | |
| "confidence": 1.0, | |
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| { | |
| "text": "ุจูููุงุ", | |
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| "text": "ูุจูู", | |
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| { | |
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| { | |
| "text": "=", | |
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| "text": "\\frac{P(A", | |
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| { | |
| "text": "\\cap", | |
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| "text": "B)}{P(B)}", | |
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| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)} + \\frac{\\beta}{x^2}", | |
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| "content": "ูุฃูุซุฑูู ุงูุฌูุงููุฉ. ููุงู ุงูููุท ูุฏ ุชู ูููู ูุบูุจูุง ุนูู ุฃู ุฑู ูู ุฆูู ู ู ุงูุณููู ูุจู ุงูุฅุณูุงู ุจุนุฏ ุญุฑูุจ ูุงูุช ููู ู ุน ุงููุทููููู ุญุงุตุฑูุง ูููุง ุฑูู ุฉ. ุซู ุนูุฏูุง ู ุนูู ุงูุณูู ุนูู ุฃู", | |
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| "content": "\\int_{2}^{M} \\exp(y) \\, dy = \\alpha^2 + C", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 7 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 468, | |
| "bottom_right_x": 485, | |
| "bottom_right_y": 490, | |
| "content": "ุจุฑูุงู", | |
| "type": "title", | |
| "confidence_scores": null, | |
| "reading_index": 8 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 495, | |
| "bottom_right_x": 485, | |
| "bottom_right_y": 540, | |
| "content": "ุฃูู ุฅูุฑูุฌุฉ ูุงูููุท ุนูููุง ูุฏุงููุง ุจูุง ููุงู ู ููู ุงูููุท ููุฒููู ุทููุทูุฉ ููุงูุช ุฏุงุฑ ู ูููู . ูุฑุจู ุง ุงูุชูููุง ู ุง ุจูููุงุ ูุจูู ูุฑุทุจุฉ", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 9 | |
| }, | |
| { | |
| "top_left_x": 32, | |
| "top_left_y": 546, | |
| "bottom_right_x": 485, | |
| "bottom_right_y": 602, | |
| "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", | |
| "type": "text", | |
| "confidence_scores": null, | |
| "reading_index": 10 | |
| } | |
| ], | |
| "meta": { | |
| "template": "math_proof", | |
| "hybrid": null, | |
| "page_font": "mcs-jeddah-s-i-normal.ttf", | |
| "title_font": "diwani-bent.ttf", | |
| "language": "ar", | |
| "script": "arabic", | |
| "direction": "rtl", | |
| "augmentation": null | |
| } | |
| } |