{ "markdown": "\\frac{\\partial \\alpha}{\\partial \\theta} = \\lim_{h \\to 0} \\frac{\\ln(\\theta + h) - \\ln(\\theta)}{h} + \\frac{\\beta}{j^2}\n## تعريف\nأَبِي مَرْيَمَ، ثَنَا اللَّيْثُ بْنُ سَعْدٍ، حَدَّثَنِي زِيَادُ بْنُ مُحَمَّدٍ\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n\\frac{\\partial \\mu}{\\partial t} = \\lim_{h \\to 0} \\frac{\\log(t + h) - \\log(t)}{h}\n## نظرية\nالْأَنْصَارِيُّ، عَنْ مُحَمَّدِ بْنِ كَعْبٍ الْقُرَظِيِّ، عَنْ فَضَالَةَ بْنِ عُبَيْدٍ،\n\\sum_{\\lambda=0}^{M} \\frac{j^\\lambda}{\\lambda!} = e^{j}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 525, "width": 723 }, "confidence_scores": { "word_confidence_scores": [ { "text": "\\frac{\\partial", "confidence": 1.0, "start_index": 0 }, { "text": "\\alpha}{\\partial", "confidence": 1.0, "start_index": 15 }, { "text": "\\theta}", "confidence": 1.0, "start_index": 32 }, { "text": "=", "confidence": 1.0, "start_index": 40 }, { "text": "\\lim_{h", "confidence": 1.0, "start_index": 42 }, { "text": "\\to", "confidence": 1.0, "start_index": 50 }, { "text": "0}", "confidence": 1.0, "start_index": 54 }, { "text": "\\frac{\\ln(\\theta", "confidence": 1.0, "start_index": 57 }, { "text": "+", "confidence": 1.0, "start_index": 74 }, { "text": "h)", "confidence": 1.0, "start_index": 76 }, { "text": "-", "confidence": 1.0, "start_index": 79 }, { "text": "\\ln(\\theta)}{h}", "confidence": 1.0, "start_index": 81 }, { "text": "+", "confidence": 1.0, "start_index": 97 }, { "text": "\\frac{\\beta}{j^2}", "confidence": 1.0, "start_index": 99 }, { "text": "##", "confidence": 1.0, "start_index": 117 }, { "text": "تعريف", "confidence": 1.0, "start_index": 120 }, { "text": "أَبِي", "confidence": 1.0, "start_index": 126 }, { "text": "مَرْيَمَ،", "confidence": 1.0, "start_index": 132 }, { "text": "ثَنَا", "confidence": 1.0, "start_index": 142 }, { "text": "اللَّيْثُ", "confidence": 1.0, "start_index": 148 }, { "text": "بْنُ", "confidence": 1.0, "start_index": 158 }, { "text": "سَعْدٍ،", "confidence": 1.0, "start_index": 163 }, { "text": "حَدَّثَنِي", "confidence": 1.0, "start_index": 171 }, { "text": "زِيَادُ", "confidence": 1.0, "start_index": 182 }, { "text": "بْنُ", "confidence": 1.0, "start_index": 190 }, { "text": "مُحَمَّدٍ", "confidence": 1.0, "start_index": 195 }, { "text": "P(A|B)", "confidence": 1.0, "start_index": 205 }, { "text": "=", "confidence": 1.0, "start_index": 212 }, { "text": "\\frac{P(A", "confidence": 1.0, "start_index": 214 }, { "text": "\\cap", "confidence": 1.0, "start_index": 224 }, { "text": "B)}{P(B)}", "confidence": 1.0, "start_index": 229 }, { "text": "\\frac{\\partial", "confidence": 1.0, "start_index": 239 }, { "text": "\\mu}{\\partial", "confidence": 1.0, "start_index": 254 }, { "text": "t}", "confidence": 1.0, "start_index": 268 }, { "text": "=", "confidence": 1.0, "start_index": 271 }, { "text": "\\lim_{h", "confidence": 1.0, "start_index": 273 }, { "text": "\\to", "confidence": 1.0, "start_index": 281 }, { "text": "0}", "confidence": 1.0, "start_index": 285 }, { "text": "\\frac{\\log(t", "confidence": 1.0, "start_index": 288 }, { "text": "+", "confidence": 1.0, "start_index": 301 }, { "text": "h)", "confidence": 1.0, "start_index": 303 }, { "text": "-", "confidence": 1.0, "start_index": 306 }, { "text": "\\log(t)}{h}", "confidence": 1.0, "start_index": 308 }, { "text": "##", "confidence": 1.0, "start_index": 320 }, { "text": "نظرية", "confidence": 1.0, "start_index": 323 }, { "text": "الْأَنْصَارِيُّ،", "confidence": 1.0, "start_index": 329 }, { "text": "عَنْ", "confidence": 1.0, "start_index": 346 }, { "text": "مُحَمَّدِ", "confidence": 1.0, "start_index": 351 }, { "text": "بْنِ", "confidence": 1.0, "start_index": 361 }, { "text": "كَعْبٍ", "confidence": 1.0, "start_index": 366 }, { "text": "الْقُرَظِيِّ،", "confidence": 1.0, "start_index": 373 }, { "text": "عَنْ", "confidence": 1.0, "start_index": 387 }, { "text": "فَضَالَةَ", "confidence": 1.0, "start_index": 392 }, { "text": "بْنِ", "confidence": 1.0, "start_index": 402 }, { "text": "عُبَيْدٍ،", "confidence": 1.0, "start_index": 407 }, { "text": "\\sum_{\\lambda=0}^{M}", "confidence": 1.0, "start_index": 417 }, { "text": "\\frac{j^\\lambda}{\\lambda!}", "confidence": 1.0, "start_index": 438 }, { "text": "=", "confidence": 1.0, "start_index": 465 }, { "text": "e^{j}", "confidence": 1.0, "start_index": 467 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 20, "top_left_y": 26, "bottom_right_x": 703, "bottom_right_y": 85, "content": "\\frac{\\partial \\alpha}{\\partial \\theta} = \\lim_{h \\to 0} \\frac{\\ln(\\theta + h) - \\ln(\\theta)}{h} + \\frac{\\beta}{j^2}", "type": "text", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 103, "bottom_right_x": 687, "bottom_right_y": 130, "content": "تعريف", "type": "title", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 32, "top_left_y": 135, "bottom_right_x": 687, "bottom_right_y": 158, "content": "أَبِي مَرْيَمَ، ثَنَا اللَّيْثُ بْنُ سَعْدٍ، حَدَّثَنِي زِيَادُ بْنُ مُحَمَّدٍ", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 32, "top_left_y": 164, "bottom_right_x": 687, "bottom_right_y": 220, "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", "type": "text", "confidence_scores": null, "reading_index": 4 }, { "top_left_x": 20, "top_left_y": 252, "bottom_right_x": 703, "bottom_right_y": 307, "content": "\\frac{\\partial \\mu}{\\partial t} = \\lim_{h \\to 0} \\frac{\\log(t + h) - \\log(t)}{h}", "type": "text", "confidence_scores": null, "reading_index": 5 }, { "top_left_x": 32, "top_left_y": 325, "bottom_right_x": 687, "bottom_right_y": 352, "content": "نظرية", "type": "title", "confidence_scores": null, "reading_index": 6 }, { "top_left_x": 32, "top_left_y": 357, "bottom_right_x": 687, "bottom_right_y": 379, "content": "الْأَنْصَارِيُّ، عَنْ مُحَمَّدِ بْنِ كَعْبٍ الْقُرَظِيِّ، عَنْ فَضَالَةَ بْنِ عُبَيْدٍ،", "type": "text", "confidence_scores": null, "reading_index": 7 }, { "top_left_x": 32, "top_left_y": 385, "bottom_right_x": 687, "bottom_right_y": 453, "content": "\\sum_{\\lambda=0}^{M} \\frac{j^\\lambda}{\\lambda!} = e^{j}", "type": "text", "confidence_scores": null, "reading_index": 8 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "dima-thuluth2.ttf", "title_font": "dima-thuluth2.ttf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }