{ "markdown": "\\frac{\\partial \\lambda}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\exp(\\alpha + h) - \\exp(\\alpha)}{h}\n\\frac{\\partial n}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\max(\\beta + h) - \\max(\\beta)}{h} + \\frac{i}{\\lambda^2}\n\\vec{F} = m\\vec{a}\n\\sum_{x=0}^{N} \\frac{\\theta^x}{x!} = e^{\\theta}", "images": [], "tables": [], "hyperlinks": [], "header": null, "footer": null, "dimensions": { "dpi": 96, "height": 332, "width": 666 }, "confidence_scores": { "word_confidence_scores": [ { "text": "\\frac{\\partial", "confidence": 1.0, "start_index": 0 }, { "text": "\\lambda}{\\partial", "confidence": 1.0, "start_index": 15 }, { "text": "\\alpha}", "confidence": 1.0, "start_index": 33 }, { "text": "=", "confidence": 1.0, "start_index": 41 }, { "text": "\\lim_{h", "confidence": 1.0, "start_index": 43 }, { "text": "\\to", "confidence": 1.0, "start_index": 51 }, { "text": "0}", "confidence": 1.0, "start_index": 55 }, { "text": "\\frac{\\exp(\\alpha", "confidence": 1.0, "start_index": 58 }, { "text": "+", "confidence": 1.0, "start_index": 76 }, { "text": "h)", "confidence": 1.0, "start_index": 78 }, { "text": "-", "confidence": 1.0, "start_index": 81 }, { "text": "\\exp(\\alpha)}{h}", "confidence": 1.0, "start_index": 83 }, { "text": "\\frac{\\partial", "confidence": 1.0, "start_index": 100 }, { "text": "n}{\\partial", "confidence": 1.0, "start_index": 115 }, { "text": "\\beta}", "confidence": 1.0, "start_index": 127 }, { "text": "=", "confidence": 1.0, "start_index": 134 }, { "text": "\\lim_{h", "confidence": 1.0, "start_index": 136 }, { "text": "\\to", "confidence": 1.0, "start_index": 144 }, { "text": "0}", "confidence": 1.0, "start_index": 148 }, { "text": "\\frac{\\max(\\beta", "confidence": 1.0, "start_index": 151 }, { "text": "+", "confidence": 1.0, "start_index": 168 }, { "text": "h)", "confidence": 1.0, "start_index": 170 }, { "text": "-", "confidence": 1.0, "start_index": 173 }, { "text": "\\max(\\beta)}{h}", "confidence": 1.0, "start_index": 175 }, { "text": "+", "confidence": 1.0, "start_index": 191 }, { "text": "\\frac{i}{\\lambda^2}", "confidence": 1.0, "start_index": 193 }, { "text": "\\vec{F}", "confidence": 1.0, "start_index": 213 }, { "text": "=", "confidence": 1.0, "start_index": 221 }, { "text": "m\\vec{a}", "confidence": 1.0, "start_index": 223 }, { "text": "\\sum_{x=0}^{N}", "confidence": 1.0, "start_index": 232 }, { "text": "\\frac{\\theta^x}{x!}", "confidence": 1.0, "start_index": 247 }, { "text": "=", "confidence": 1.0, "start_index": 267 }, { "text": "e^{\\theta}", "confidence": 1.0, "start_index": 269 } ], "average_page_confidence_score": 1.0, "minimum_page_confidence_score": 1.0 }, "blocks": [ { "top_left_x": 20, "top_left_y": 26, "bottom_right_x": 646, "bottom_right_y": 81, "content": "\\frac{\\partial \\lambda}{\\partial \\alpha} = \\lim_{h \\to 0} \\frac{\\exp(\\alpha + h) - \\exp(\\alpha)}{h}", "type": "text", "confidence_scores": null, "reading_index": 1 }, { "top_left_x": 20, "top_left_y": 87, "bottom_right_x": 646, "bottom_right_y": 151, "content": "\\frac{\\partial n}{\\partial \\beta} = \\lim_{h \\to 0} \\frac{\\max(\\beta + h) - \\max(\\beta)}{h} + \\frac{i}{\\lambda^2}", "type": "text", "confidence_scores": null, "reading_index": 2 }, { "top_left_x": 20, "top_left_y": 157, "bottom_right_x": 646, "bottom_right_y": 201, "content": "\\vec{F} = m\\vec{a}", "type": "text", "confidence_scores": null, "reading_index": 3 }, { "top_left_x": 20, "top_left_y": 207, "bottom_right_x": 646, "bottom_right_y": 286, "content": "\\sum_{x=0}^{N} \\frac{\\theta^x}{x!} = e^{\\theta}", "type": "text", "confidence_scores": null, "reading_index": 4 } ], "meta": { "template": "math_proof", "hybrid": null, "page_font": "zain-length-6.ttf", "title_font": "interface-trial-light.ttf", "language": "ar", "script": "arabic", "direction": "rtl", "augmentation": null } }