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{
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                "text": "f(\\mu_n)",
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            },
            {
                "text": "\\nabla_{\\mu}",
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                "text": "J(\\mu)",
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                "text": "=",
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                "text": "##",
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                "text": "ุจุฑู‡ุงู†",
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                "text": "ูˆุณู„ู…",
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                "text": "ุจู‚ุชุงู„ู‡ู…",
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                "text": "ุจู‚ูˆู„ู‡:",
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                "text": "{ู‚ุงุชูู„ููˆุง",
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                "text": "ู„ุง",
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                "text": "ูŠูุคู’ู…ูู†ููˆู†ูŽ",
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                "text": "ุจูุงู„ู„ู‡ู",
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                "text": "ุจูุงู„ู’ูŠูŽูˆู’ู…ู",
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                "text": "ุงู„ู’ุขุฎูุฑู.}.",
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            {
                "text": "ุงู„ุขูŠุฉุŒ",
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            {
                "text": "ุฅู„ู‰",
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            {
                "text": "ู‚ูˆู„ู‡:",
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            {
                "text": "{ูˆูŽู‡ูู…ู’",
                "confidence": 1.0,
                "start_index": 221
            },
            {
                "text": "ุตุงุบูุฑููˆู†ูŽ}",
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                "start_index": 229
            },
            {
                "text": "(1)",
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                "start_index": 240
            },
            {
                "text": "ูˆุบูŠุฑ",
                "confidence": 1.0,
                "start_index": 244
            },
            {
                "text": "ุฐู„ูƒ",
                "confidence": 1.0,
                "start_index": 249
            },
            {
                "text": "ู…ู†",
                "confidence": 1.0,
                "start_index": 253
            },
            {
                "text": "ุงู„ุขูŠุงุชุŒ",
                "confidence": 1.0,
                "start_index": 256
            },
            {
                "text": "ูู‚ุชู„ูˆุง",
                "confidence": 1.0,
                "start_index": 264
            },
            {
                "text": "ุจู†ูŠ",
                "confidence": 1.0,
                "start_index": 271
            },
            {
                "text": "ู‚ุฑูŠุธุฉุ›",
                "confidence": 1.0,
                "start_index": 275
            },
            {
                "text": "ูˆุฃุฌู„ูˆุง",
                "confidence": 1.0,
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            },
            {
                "text": "\\vec{F}",
                "confidence": 1.0,
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                "text": "=",
                "confidence": 1.0,
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            {
                "text": "m\\vec{a}",
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            },
            {
                "text": "##",
                "confidence": 1.0,
                "start_index": 308
            },
            {
                "text": "ู†ุธุฑูŠุฉ",
                "confidence": 1.0,
                "start_index": 311
            },
            {
                "text": "ุจู†ูŠ",
                "confidence": 1.0,
                "start_index": 317
            },
            {
                "text": "ุงู„ู†ุถูŠุฑ.",
                "confidence": 1.0,
                "start_index": 321
            },
            {
                "text": "ูˆู‚ูŠู„:",
                "confidence": 1.0,
                "start_index": 329
            },
            {
                "text": "ู…ุนู†ุงู‡:",
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                "start_index": 335
            },
            {
                "text": "{(ุญูŽุชู‘ู‰",
                "confidence": 1.0,
                "start_index": 342
            },
            {
                "text": "ูŠูŽุฃู’ุชููŠูŽ",
                "confidence": 1.0,
                "start_index": 350
            },
            {
                "text": "ุงู„ู„ู‡ู",
                "confidence": 1.0,
                "start_index": 359
            },
            {
                "text": "ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู…",
                "confidence": 1.0,
                "start_index": 365
            },
            {
                "text": "ุงู„ุณุงุนุฉ",
                "confidence": 1.0,
                "start_index": 383
            },
            {
                "text": "ูˆูŠุฌุงุฒูŠู‡ู…",
                "confidence": 1.0,
                "start_index": 390
            },
            {
                "text": "ุจุฃุนู…ุงู„ู‡ู….",
                "confidence": 1.0,
                "start_index": 399
            },
            {
                "text": "{ุฅูู†ู‘ูŽ",
                "confidence": 1.0,
                "start_index": 409
            },
            {
                "text": "ุงู„ู„ู‡ูŽ",
                "confidence": 1.0,
                "start_index": 416
            },
            {
                "text": "ุนูŽู„ู‰",
                "confidence": 1.0,
                "start_index": 422
            },
            {
                "text": "ูƒูู„ู‘ู",
                "confidence": 1.0,
                "start_index": 427
            },
            {
                "text": "ุดูŽูŠู’ุกู",
                "confidence": 1.0,
                "start_index": 433
            },
            {
                "text": "ู‚ูŽุฏููŠุฑูŒ}",
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                "start_index": 440
            },
            {
                "text": "(109).",
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            {
                "text": "\\vec{F}",
                "confidence": 1.0,
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            {
                "text": "=",
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                "text": "m\\vec{a}",
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        {
            "top_left_x": 20,
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            "content": "\\mu_{n+1} = \\mu_n - \\alpha \\nabla f(\\mu_n)",
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        {
            "top_left_x": 20,
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            "content": "\\nabla_{\\mu} J(\\mu) = \\frac{1}{m} X^T ( \\sigma(X \\mu) - Y )",
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            "top_left_x": 32,
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            "content": "ูˆุณู„ู… ุจู‚ุชุงู„ู‡ู… ุจู‚ูˆู„ู‡: {ู‚ุงุชูู„ููˆุง ุงู„ู‘ูŽุฐููŠู†ูŽ ู„ุง ูŠูุคู’ู…ูู†ููˆู†ูŽ ุจูุงู„ู„ู‡ู ูˆูŽู„ุง ุจูุงู„ู’ูŠูŽูˆู’ู…ู ุงู„ู’ุขุฎูุฑู.}. ุงู„ุขูŠุฉุŒ ุฅู„ู‰ ู‚ูˆู„ู‡: {ูˆูŽู‡ูู…ู’ ุตุงุบูุฑููˆู†ูŽ} (1) ูˆุบูŠุฑ ุฐู„ูƒ ู…ู† ุงู„ุขูŠุงุชุŒ ูู‚ุชู„ูˆุง ุจู†ูŠ ู‚ุฑูŠุธุฉุ› ูˆุฃุฌู„ูˆุง",
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            "content": "ุจู†ูŠ ุงู„ู†ุถูŠุฑ. ูˆู‚ูŠู„: ู…ุนู†ุงู‡: {(ุญูŽุชู‘ู‰ ูŠูŽุฃู’ุชููŠูŽ ุงู„ู„ู‡ู ุจูุฃูŽู…ู’ุฑูู‡ู)}:ู‚ูŠุงู… ุงู„ุณุงุนุฉ ูˆูŠุฌุงุฒูŠู‡ู… ุจุฃุนู…ุงู„ู‡ู…. {ุฅูู†ู‘ูŽ ุงู„ู„ู‡ูŽ ุนูŽู„ู‰ ูƒูู„ู‘ู ุดูŽูŠู’ุกู ู‚ูŽุฏููŠุฑูŒ} (109).",
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        },
        {
            "top_left_x": 32,
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            "content": "\\vec{F} = m\\vec{a}",
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    ],
    "meta": {
        "template": "math_proof",
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        "title_font": "interface-trial-light.ttf",
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}