{ "markdown": "## برهان\n\\prod_{\\lambda=1}^{n} (1 \\leq \\mu_\\lambda) = 0\n\\vec{F} = m\\vec{a}\nP(A|B) = \\frac{P(A \\cap B)}{P(B)}\n## نظرية\n\\iint_{D} z^2 - z^2 \\, dx \\, dy", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 456, "width": 494 }, "confidence_scores": { "word_confidence_scores": [ { "text": "##", "confidence": 1.0, "start_index": 0 }, { "text": "برهان", "confidence": 1.0, "start_index": 3 }, { "text": "\\prod_{\\lambda=1}^{n}", "confidence": 1.0, "start_index": 9 }, { "text": "(1", "confidence": 1.0, "start_index": 31 }, { "text": "\\leq", "confidence": 1.0, "start_index": 34 }, { "text": "\\mu_\\lambda)", "confidence": 1.0, "start_index": 39 }, { "text": "=", "confidence": 1.0, "start_index": 52 }, { "text": "0", "confidence": 1.0, "start_index": 54 }, { "text": "\\vec{F}", "confidence": 1.0, "start_index": 56 }, { "text": "=", "confidence": 1.0, "start_index": 64 }, { "text": "m\\vec{a}", "confidence": 1.0, "start_index": 66 }, { "text": "P(A|B)", "confidence": 1.0, "start_index": 75 }, { "text": "=", "confidence": 1.0, "start_index": 82 }, { "text": "\\frac{P(A", "confidence": 1.0, "start_index": 84 }, { "text": "\\cap", "confidence": 1.0, "start_index": 94 }, { "text": "B)}{P(B)}", "confidence": 1.0, "start_index": 99 }, { "text": "##", "confidence": 1.0, "start_index": 109 }, { "text": "نظرية", "confidence": 1.0, "start_index": 112 }, { "text": "\\iint_{D}", "confidence": 1.0, "start_index": 118 }, { "text": "z^2", "confidence": 1.0, "start_index": 128 }, { "text": "-", "confidence": 1.0, "start_index": 132 }, { "text": "z^2", "confidence": 1.0, "start_index": 134 }, { "text": "\\,", "confidence": 1.0, "start_index": 138 }, { "text": "dx", "confidence": 1.0, "start_index": 141 }, { "text": "\\,", "confidence": 1.0, "start_index": 144 }, { "text": "dy", "confidence": 1.0, "start_index": 147 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 32, "top_left_y": 32, "bottom_right_x": 458, "bottom_right_y": 63, "content": "برهان", "type": "title", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 69, "bottom_right_x": 458, "bottom_right_y": 134, "content": "\\prod_{\\lambda=1}^{n} (1 \\leq \\mu_\\lambda) = 0", "type": "text", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 20, "top_left_y": 166, "bottom_right_x": 474, "bottom_right_y": 208, "content": "\\vec{F} = m\\vec{a}", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 20, "top_left_y": 214, "bottom_right_x": 474, "bottom_right_y": 274, "content": "P(A|B) = \\frac{P(A \\cap B)}{P(B)}", "type": "text", "confidence_scores": null, "reading_index": 4 }, { "top_left_x": 32, "top_left_y": 292, "bottom_right_x": 458, "bottom_right_y": 323, "content": "نظرية", "type": "title", "confidence_scores": null, "reading_index": 5 }, { "top_left_x": 32, "top_left_y": 329, "bottom_right_x": 458, "bottom_right_y": 384, "content": "\\iint_{D} z^2 - z^2 \\, dx \\, dy", "type": "text", "confidence_scores": null, "reading_index": 6 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "zayedfont.ttf", "title_font": "aref-naskh.otf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }