{ "markdown": "## نظرية\n\\iint_{D} \\alpha^2 \\geq t^2 \\, dx \\, dy\n\\mathbb{E}[\\theta] = \\int x f_\\theta(x) dx + \\frac{x}{k^2}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 262, "width": 507 }, "confidence_scores": { "word_confidence_scores": [ { "text": "##", "confidence": 1.0, "start_index": 0 }, { "text": "نظرية", "confidence": 1.0, "start_index": 3 }, { "text": "\\iint_{D}", "confidence": 1.0, "start_index": 9 }, { "text": "\\alpha^2", "confidence": 1.0, "start_index": 19 }, { "text": "\\geq", "confidence": 1.0, "start_index": 28 }, { "text": "t^2", "confidence": 1.0, "start_index": 33 }, { "text": "\\,", "confidence": 1.0, "start_index": 37 }, { "text": "dx", "confidence": 1.0, "start_index": 40 }, { "text": "\\,", "confidence": 1.0, "start_index": 43 }, { "text": "dy", "confidence": 1.0, "start_index": 46 }, { "text": "\\mathbb{E}[\\theta]", "confidence": 1.0, "start_index": 49 }, { "text": "=", "confidence": 1.0, "start_index": 68 }, { "text": "\\int", "confidence": 1.0, "start_index": 70 }, { "text": "x", "confidence": 1.0, "start_index": 75 }, { "text": "f_\\theta(x)", "confidence": 1.0, "start_index": 77 }, { "text": "dx", "confidence": 1.0, "start_index": 89 }, { "text": "+", "confidence": 1.0, "start_index": 92 }, { "text": "\\frac{x}{k^2}", "confidence": 1.0, "start_index": 94 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 32, "top_left_y": 32, "bottom_right_x": 471, "bottom_right_y": 69, "content": "نظرية", "type": "title", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 32, "top_left_y": 75, "bottom_right_x": 471, "bottom_right_y": 130, "content": "\\iint_{D} \\alpha^2 \\geq t^2 \\, dx \\, dy", "type": "text", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 20, "top_left_y": 162, "bottom_right_x": 487, "bottom_right_y": 215, "content": "\\mathbb{E}[\\theta] = \\int x f_\\theta(x) dx + \\frac{x}{k^2}", "type": "text", "confidence_scores": null, "reading_index": 3 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "zaytoon-yadawi.otf", "title_font": "all-exp01-habashtaka.otf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }