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{
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            "content": "ู„ู… ูŠู†ุฒู„ ุจู‡ุง ู…ุซู„ู‡ุŒ ูุฎุฑุฌ ุฅู„ูŠู‡ู… ุงู„ู…ุนุฒู‘ ููŠ ุฌู…ูˆุนู‡ ู…ู† ุตู†ู‡ุงุฌุฉ ูˆุงู„ุณูˆุฏุงู† ู†ุญูˆุง ู…ู† ุซู„ุงุซูŠู† ุฃู„ูุงุŒ",
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            "content": "\\nabla_{n} J(n) = \\frac{1}{m} X^T ( \\sigma(X n) - Y )",
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        },
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            "content": "ุชุนุฑูŠู",
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        },
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            "top_left_x": 32,
            "top_left_y": 215,
            "bottom_right_x": 563,
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            "content": "ูˆุงู„ุนุฑุจ ููŠ ุซู„ุงุซุฉ ุขู„ุงู ูู‡ุฒู…ูˆู‡ ูˆุฃุซุฎู†ูˆุง ููŠ ุตู†ู‡ุงุฌุฉ ุจุงู„ู‚ุชู„ ูˆุงุณุชุจุงุญูˆู‡ู…ุŒ",
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        },
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            "content": "\\prod_{\\sigma=1}^{n} (1 \\leq x_\\sigma) = 0",
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        },
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            "content": "ุชุนุฑูŠู",
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        },
        {
            "top_left_x": 32,
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            "bottom_right_x": 563,
            "bottom_right_y": 426,
            "content": "ูˆุฏุฎู„ ุงู„ู…ุนุฒู‘ ุงู„ู‚ูŠุฑูˆุงู† ู…ู‡ุฒูˆู…ุง. ุซู… ุจูŠุชู‡ู… ูŠูˆู… ุงู„ู†ุญุฑ ูˆู‡ู… ููŠ ุงู„ุตู„ุงุฉ ูู‡ุฒู…ูˆู‡ ุฃุนุธู… ู…ู† ุงู„ุฃูˆู„ู‰. ุซู… ุณุงุฑ ุฅู„ูŠู‡ู… ุจุนุฏ ุฃู† ุงุญุชุดุฏ ุฒู†ุงุชุฉ ู…ุนู‡ ูุงู†ู‡ุฒู… ุซุงู„ุซุฉ ูˆู‚ุชู„",
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        },
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            "content": "\\int_{4}^{N} \\max(t) \\, dt = n^2 \\approx C",
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        },
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            "top_left_x": 20,
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            "content": "\\nabla_{j} J(j) = \\frac{1}{m} X^T ( \\sigma(X j) - Y )",
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        "template": "math_proof",
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