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die beste lineare Näherung von 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der transponierte Gradient, für ",[569,1791,1793,1815],{"className":1792},[572],[569,1794,1796],{"className":1795},[576],[578,1797,1798],{"xmlns":580},[582,1799,1800,1812],{},[585,1801,1802,1804,1806,1808,1810],{},[588,1803,621],{},[598,1805,1680],{},[588,1807,631],{},[598,1809,1680],{},[1682,1811,1684],{},[633,1813,1814],{"encoding":635},"n = m = 1",[569,1816,1818,1836,1854],{"className":1817,"ariaHidden":641},[640],[569,1819,1821,1824,1827,1830,1833],{"className":1820},[645],[569,1822],{"className":1823,"style":802},[649],[569,1825,621],{"className":1826},[654,655],[569,1828],{"className":1829,"style":733},[592],[569,1831,1680],{"className":1832},[683],[569,1834],{"className":1835,"style":733},[592],[569,1837,1839,1842,1845,1848,1851],{"className":1838},[645],[569,1840],{"className":1841,"style":802},[649],[569,1843,631],{"className":1844},[654,655],[569,1846],{"className":1847,"style":733},[592],[569,1849,1680],{"className":1850},[683],[569,1852],{"className":1853,"style":733},[592],[569,1855,1857,1860],{"className":1856},[645],[569,1858],{"className":1859,"style":1715},[649],[569,1861,1684],{"className":1862},[654]," die gewöhnliche Ableitung. Ist ",[569,1865,1867,1885],{"className":1866},[572],[569,1868,1870],{"className":1869},[576],[578,1871,1872],{"xmlns":580},[582,1873,1874,1882],{},[585,1875,1876,1878,1880],{},[588,1877,631],{},[598,1879,1680],{},[588,1881,621],{},[633,1883,1884],{"encoding":635},"m = n",[569,1886,1888,1906],{"className":1887,"ariaHidden":641},[640],[569,1889,1891,1894,1897,1900,1903],{"className":1890},[645],[569,1892],{"className":1893,"style":802},[649],[569,1895,631],{"className":1896},[654,655],[569,1898],{"className":1899,"style":733},[592],[569,1901,1680],{"className":1902},[683],[569,1904],{"className":1905,"style":733},[592],[569,1907,1909,1912],{"className":1908},[645],[569,1910],{"className":1911,"style":802},[649],[569,1913,621],{"className":1914},[654,655],", heißt ",[569,1917,1919,1943],{"className":1918},[572],[569,1920,1922],{"className":1921},[576],[578,1923,1924],{"xmlns":580},[582,1925,1926,1940],{},[585,1927,1928,1931,1934],{},[588,1929,1930],{},"det",[598,1932,1933],{},"⁡",[943,1935,1936,1938],{},[588,1937,1163],{},[588,1939,590],{},[633,1941,1942],{"encoding":635},"\\det J_f",[569,1944,1946],{"className":1945,"ariaHidden":641},[640],[569,1947,1949,1953,1957,1960],{"className":1948},[645],[569,1950],{"className":1951,"style":1952},[649],"height:0.9805em;vertical-align:-0.2861em;",[569,1954,1930],{"className":1955},[1956],"mop",[569,1958],{"className":1959,"style":676},[592],[569,1961,1963,1966],{"className":1962},[654],[569,1964,1163],{"className":1965,"style":1185},[654,655],[569,1967,1969],{"className":1968},[698],[569,1970,1972,1992],{"className":1971},[702,973],[569,1973,1975,1989],{"className":1974},[706],[569,1976,1978],{"className":1977,"style":1198},[710],[569,1979,1980,1983],{"style":1201},[569,1981],{"className":1982,"style":719},[718],[569,1984,1986],{"className":1985},[723,724,725,726],[569,1987,590],{"className":1988,"style":656},[654,655,726],[569,1990,997],{"className":1991},[996],[569,1993,1995],{"className":1994},[706],[569,1996,1998],{"className":1997,"style":1111},[710],[569,1999],{}," ",[837,2002,552],{}," oder Funktionaldeterminante. Sie gibt an, wie stark ",[569,2005,2007,2020],{"className":2006},[572],[569,2008,2010],{"className":2009},[576],[578,2011,2012],{"xmlns":580},[582,2013,2014,2018],{},[585,2015,2016],{},[588,2017,590],{},[633,2019,590],{"encoding":635},[569,2021,2023],{"className":2022,"ariaHidden":641},[640],[569,2024,2026,2029],{"className":2025},[645],[569,2027],{"className":2028,"style":650},[649],[569,2030,590],{"className":2031,"style":656},[654,655]," Flächen bzw. Volumina lokal streckt, und erscheint deshalb im 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,[592],[569,2967,2969,2972],{"className":2968},[654],[569,2970,1163],{"className":2971,"style":1185},[654,655],[569,2973,2975],{"className":2974},[698],[569,2976,2978,2998],{"className":2977},[702,973],[569,2979,2981,2995],{"className":2980},[706],[569,2982,2984],{"className":2983,"style":1198},[710],[569,2985,2986,2989],{"style":1201},[569,2987],{"className":2988,"style":719},[718],[569,2990,2992],{"className":2991},[723,724,725,726],[569,2993,590],{"className":2994,"style":656},[654,655,726],[569,2996,997],{"className":2997},[996],[569,2999,3001],{"className":3000},[706],[569,3002,3004],{"className":3003,"style":1111},[710],[569,3005],{},[569,3007,1273],{"className":3008},[1357],[569,3010,1684],{"className":3011},[654],[569,3013,2059],{"className":3014},[668],[569,3016],{"className":3017,"style":676},[592],[569,3019,2075],{"className":3020},[654],[569,3022,1295],{"className":3023},[1466],[569,3025],{"className":3026,"style":733},[592],[569,3028,1680],{"className":3029},[683],[569,3031],{"className":3032,"style":733},[592],[569,3034,3036,3039],{"className":3035},[645],[569,3037],{"className":3038,"style":2671},[649],[569,3040,3042,3079,3203],{"className":3041},[2675],[569,3043,3045],{"className":3044},[1357],[569,3046,3048],{"className":3047},[2682,2683],[569,3049,3051,3071],{"className":3050},[702,973],[569,3052,3054,3068],{"className":3053},[706],[569,3055,3057],{"className":3056,"style":2693},[710],[569,3058,3059,3062],{"style":2696},[569,3060],{"className":3061,"style":2700},[718],[569,3063,3064],{"style":2703},[1398,3065,3066],{"xmlns":1400,"width":2706,"height":2707,"viewBox":2708},[1407,3067],{"d":2711},[569,3069,997],{"className":3070},[996],[569,3072,3074],{"className":3073},[706],[569,3075,3077],{"className":3076,"style":2721},[710],[569,3078],{},[569,3080,3082],{"className":3081},[654],[569,3083,3085,3141,3144,3147],{"className":3084},[2439],[569,3086,3088],{"className":3087},[2733],[569,3089,3091,3133],{"className":3090},[702,973],[569,3092,3094,3130],{"className":3093},[706],[569,3095,3097,3108,3119],{"className":3096,"style":2693},[710],[569,3098,3099,3102],{"style":2745},[569,3100],{"className":3101,"style":1378},[718],[569,3103,3105],{"className":3104},[654],[569,3106,2547],{"className":3107},[654],[569,3109,3110,3113],{"style":2763},[569,3111],{"className":3112,"style":1378},[718],[569,3114,3116],{"className":3115},[654],[569,3117,1684],{"className":3118},[654],[569,3120,3121,3124],{"style":2775},[569,3122],{"className":3123,"style":1378},[718],[569,3125,3127],{"className":3126},[654],[569,3128,2075],{"className":3129},[654],[569,3131,997],{"className":3132},[996],[569,3134,3136],{"className":3135},[706],[569,3137,3139],{"className":3138,"style":2721},[710],[569,3140],{},[569,3142],{"className":3143,"style":2800},[2799],[569,3145],{"className":3146,"style":2800},[2799],[569,3148,3150],{"className":3149},[2733],[569,3151,3153,3195],{"className":3152},[702,973],[569,3154,3156,3192],{"className":3155},[706],[569,3157,3159,3170,3181],{"className":3158,"style":2693},[710],[569,3160,3161,3164],{"style":2745},[569,3162],{"className":3163,"style":1378},[718],[569,3165,3167],{"className":3166},[654],[569,3168,1684],{"className":3169},[654],[569,3171,3172,3175],{"style":2763},[569,3173],{"className":3174,"style":1378},[718],[569,3176,3178],{"className":3177},[654],[569,3179,2568],{"className":3180},[654],[569,3182,3183,3186],{"style":2775},[569,3184],{"className":3185,"style":1378},[718],[569,3187,3189],{"className":3188},[654],[569,3190,1684],{"className":3191},[654],[569,3193,997],{"className":3194},[996],[569,3196,3198],{"className":3197},[706],[569,3199,3201],{"className":3200,"style":2721},[710],[569,3202],{},[569,3204,3206],{"className":3205},[1466],[569,3207,3209],{"className":3208},[2682,2683],[569,3210,3212,3232],{"className":3211},[702,973],[569,3213,3215,3229],{"className":3214},[706],[569,3216,3218],{"className":3217,"style":2693},[710],[569,3219,3220,3223],{"style":2696},[569,3221],{"className":3222,"style":2700},[718],[569,3224,3225],{"style":2703},[1398,3226,3227],{"xmlns":1400,"width":2706,"height":2707,"viewBox":2708},[1407,3228],{"d":2941},[569,3230,997],{"className":3231},[996],[569,3233,3235],{"className":3234},[706],[569,3236,3238],{"className":3237,"style":2721},[710],[569,3239],{},[565,3241,3242,3243,3321,3322,3494,3495,1114],{},"Für die erste Komponente liefert die Linearisierung an der Stelle ",[569,3244,3246,3273],{"className":3245},[572],[569,3247,3249],{"className":3248},[576],[578,3250,3251],{"xmlns":580},[582,3252,3253,3270],{},[585,3254,3255,3257,3260,3263,3265,3268],{},[598,3256,1273],{"stretchy":1272},[1682,3258,3259],{},"1,1",[598,3261,3262],{"separator":641},";",[603,3264,2082],{},[1682,3266,3267],{},"2,1",[598,3269,1295],{"stretchy":1272},[633,3271,3272],{"encoding":635},"(1{,}1;\\ 2{,}1)",[569,3274,3276],{"className":3275,"ariaHidden":641},[640],[569,3277,3279,3282,3285,3288,3294,3297,3300,3303,3306,3309,3315,3318],{"className":3278},[645],[569,3280],{"className":3281,"style":1350},[649],[569,3283,1273],{"className":3284},[1357],[569,3286,1684],{"className":3287},[654],[569,3289,3291],{"className":3290},[654],[569,3292,2059],{"className":3293},[668],[569,3295,1684],{"className":3296},[654],[569,3298,3262],{"className":3299},[668],[569,3301,2082],{"className":3302},[592],[569,3304],{"className":3305,"style":676},[592],[569,3307,2075],{"className":3308},[654],[569,3310,3312],{"className":3311},[654],[569,3313,2059],{"className":3314},[668],[569,3316,1684],{"className":3317},[654],[569,3319,1295],{"className":3320},[1466]," den Wert ",[569,3323,3325,3362],{"className":3324},[572],[569,3326,3328],{"className":3327},[576],[578,3329,3330],{"xmlns":580},[582,3331,3332,3359],{},[585,3333,3334,3336,3338,3340,3343,3346,3348,3350,3352,3354,3356],{},[1682,3335,2075],{},[598,3337,1285],{},[1682,3339,2547],{},[598,3341,3342],{},"⋅",[1682,3344,3345],{},"0,1",[598,3347,1285],{},[1682,3349,1684],{},[598,3351,3342],{},[1682,3353,3345],{},[598,3355,1680],{},[1682,3357,3358],{},"2,5",[633,3360,3361],{"encoding":635},"2 + 4 \\cdot 0{,}1 + 1 \\cdot 0{,}1 = 2{,}5",[569,3363,3365,3384,3402,3430,3448,3475],{"className":3364,"ariaHidden":641},[640],[569,3366,3368,3372,3375,3378,3381],{"className":3367},[645],[569,3369],{"className":3370,"style":3371},[649],"height:0.7278em;vertical-align:-0.0833em;",[569,3373,2075],{"className":3374},[654],[569,3376],{"className":3377,"style":881},[592],[569,3379,1285],{"className":3380},[885],[569,3382],{"className":3383,"style":881},[592],[569,3385,3387,3390,3393,3396,3399],{"className":3386},[645],[569,3388],{"className":3389,"style":1715},[649],[569,3391,2547],{"className":3392},[654],[569,3394],{"className":3395,"style":881},[592],[569,3397,3342],{"className":3398},[885],[569,3400],{"className":3401,"style":881},[592],[569,3403,3405,3409,3412,3418,3421,3424,3427],{"className":3404},[645],[569,3406],{"className":3407,"style":3408},[649],"height:0.8389em;vertical-align:-0.1944em;",[569,3410,2453],{"className":3411},[654],[569,3413,3415],{"className":3414},[654],[569,3416,2059],{"className":3417},[668],[569,3419,1684],{"className":3420},[654],[569,3422],{"className":3423,"style":881},[592],[569,3425,1285],{"className":3426},[885],[569,3428],{"className":3429,"style":881},[592],[569,3431,3433,3436,3439,3442,3445],{"className":3432},[645],[569,3434],{"className":3435,"style":1715},[649],[569,3437,1684],{"className":3438},[654],[569,3440],{"className":3441,"style":881},[592],[569,3443,3342],{"className":3444},[885],[569,3446],{"className":3447,"style":881},[592],[569,3449,3451,3454,3457,3463,3466,3469,3472],{"className":3450},[645],[569,3452],{"className":3453,"style":3408},[649],[569,3455,2453],{"className":3456},[654],[569,3458,3460],{"className":3459},[654],[569,3461,2059],{"className":3462},[668],[569,3464,1684],{"className":3465},[654],[569,3467],{"className":3468,"style":733},[592],[569,3470,1680],{"className":3471},[683],[569,3473],{"className":3474,"style":733},[592],[569,3476,3478,3481,3484,3490],{"className":3477},[645],[569,3479],{"className":3480,"style":3408},[649],[569,3482,2075],{"className":3483},[654],[569,3485,3487],{"className":3486},[654],[569,3488,2059],{"className":3489},[668],[569,3491,3493],{"className":3492},[654],"5",". Exakt ist ",[569,3496,3498,3525],{"className":3497},[572],[569,3499,3501],{"className":3500},[576],[578,3502,3503],{"xmlns":580},[582,3504,3505,3522],{},[585,3506,3507,3513,3515,3517,3519],{},[613,3508,3509,3511],{},[1682,3510,3259],{},[1682,3512,2075],{},[598,3514,3342],{},[1682,3516,3267],{},[598,3518,1680],{},[1682,3520,3521],{},"2,541",[633,3523,3524],{"encoding":635},"1{,}1^2 \\cdot 2{,}1 = 2{,}541",[569,3526,3528,3582,3609],{"className":3527,"ariaHidden":641},[640],[569,3529,3531,3535,3538,3544,3573,3576,3579],{"className":3530},[645],[569,3532],{"className":3533,"style":3534},[649],"height:1.0085em;vertical-align:-0.1944em;",[569,3536,1684],{"className":3537},[654],[569,3539,3541],{"className":3540},[654],[569,3542,2059],{"className":3543},[668],[569,3545,3547,3550],{"className":3546},[654],[569,3548,1684],{"className":3549},[654],[569,3551,3553],{"className":3552},[698],[569,3554,3556],{"className":3555},[702],[569,3557,3559],{"className":3558},[706],[569,3560,3562],{"className":3561,"style":2180},[710],[569,3563,3564,3567],{"style":714},[569,3565],{"className":3566,"style":719},[718],[569,3568,3570],{"className":3569},[723,724,725,726],[569,3571,2075],{"className":3572},[654,726],[569,3574],{"className":3575,"style":881},[592],[569,3577,3342],{"className":3578},[885],[569,3580],{"className":3581,"style":881},[592],[569,3583,3585,3588,3591,3597,3600,3603,3606],{"className":3584},[645],[569,3586],{"className":3587,"style":3408},[649],[569,3589,2075],{"className":3590},[654],[569,3592,3594],{"className":3593},[654],[569,3595,2059],{"className":3596},[668],[569,3598,1684],{"className":3599},[654],[569,3601],{"className":3602,"style":733},[592],[569,3604,1680],{"className":3605},[683],[569,3607],{"className":3608,"style":733},[592],[569,3610,3612,3615,3618,3624],{"className":3611},[645],[569,3613],{"className":3614,"style":3408},[649],[569,3616,2075],{"className":3617},[654],[569,3619,3621],{"className":3620},[654],[569,3622,2059],{"className":3623},[668],[569,3625,3627],{"className":3626},[654],"541",[565,3629,3630,3631,3775],{},"Die Polarkoordinaten-Abbildung ",[569,3632,3634,3687],{"className":3633},[572],[569,3635,3637],{"className":3636},[576],[578,3638,3639],{"xmlns":580},[582,3640,3641,3684],{},[585,3642,3643,3645,3648,3650,3653,3655,3658,3660,3662,3665,3667,3669,3671,3673,3675,3678,3680,3682],{},[598,3644,1273],{"stretchy":1272},[588,3646,3647],{},"r",[598,3649,2059],{"separator":641},[588,3651,3652],{},"φ",[598,3654,1295],{"stretchy":1272},[598,3656,3657],{},"↦",[598,3659,1273],{"stretchy":1272},[588,3661,3647],{},[588,3663,3664],{},"cos",[598,3666,1933],{},[588,3668,3652],{},[598,3670,2059],{"separator":641},[603,3672,2082],{},[588,3674,3647],{},[588,3676,3677],{},"sin",[598,3679,1933],{},[588,3681,3652],{},[598,3683,1295],{"stretchy":1272},[633,3685,3686],{"encoding":635},"(r, \\varphi) \\mapsto (r \\cos \\varphi,\\ r \\sin \\varphi)",[569,3688,3690,3724],{"className":3689,"ariaHidden":641},[640],[569,3691,3693,3696,3699,3703,3706,3709,3712,3715,3718,3721],{"className":3692},[645],[569,3694],{"className":3695,"style":1350},[649],[569,3697,1273],{"className":3698},[1357],[569,3700,3647],{"className":3701,"style":3702},[654,655],"margin-right:0.0278em;",[569,3704,2059],{"className":3705},[668],[569,3707],{"className":3708,"style":676},[592],[569,3710,3652],{"className":3711},[654,655],[569,3713,1295],{"className":3714},[1466],[569,3716],{"className":3717,"style":733},[592],[569,3719,3657],{"className":3720},[683],[569,3722],{"className":3723,"style":733},[592],[569,3725,3727,3730,3733,3736,3739,3742,3745,3748,3751,3754,3757,3760,3763,3766,3769,3772],{"className":3726},[645],[569,3728],{"className":3729,"style":1350},[649],[569,3731,1273],{"className":3732},[1357],[569,3734,3647],{"className":3735,"style":3702},[654,655],[569,3737],{"className":3738,"style":676},[592],[569,3740,3664],{"className":3741},[1956],[569,3743],{"className":3744,"style":676},[592],[569,3746,3652],{"className":3747},[654,655],[569,3749,2059],{"className":3750},[668],[569,3752,2082],{"className":3753},[592],[569,3755],{"className":3756,"style":676},[592],[569,3758,3647],{"className":3759,"style":3702},[654,655],[569,3761],{"className":3762,"style":676},[592],[569,3764,3677],{"className":3765},[1956],[569,3767],{"className":3768,"style":676},[592],[569,3770,3652],{"className":3771},[654,655],[569,3773,1295],{"className":3774},[1466]," hat",[569,3777,3779],{"className":3778},[1254],[569,3780,3782,3911],{"className":3781},[572],[569,3783,3785],{"className":3784},[576],[578,3786,3787],{"xmlns":580,"display":1263},[582,3788,3789,3908],{},[585,3790,3791,3793,3795,3862,3864,3866,3868,3870,3872,3874,3876,3886,3888,3890,3892,3902,3904,3906],{},[588,3792,1163],{},[598,3794,1680],{},[585,3796,3797,3799,3860],{},[598,3798,1273],{"fence":641},[2439,3800,3801,3832],{"rowspacing":2441,"columnalign":2442,"columnspacing":2443},[2445,3802,3803,3815],{},[2448,3804,3805],{},[2451,3806,3807],{"scriptlevel":2453,"displaystyle":1272},[585,3808,3809,3811,3813],{},[588,3810,3664],{},[598,3812,1933],{},[588,3814,3652],{},[2448,3816,3817],{},[2451,3818,3819],{"scriptlevel":2453,"displaystyle":1272},[585,3820,3821,3824,3826,3828,3830],{},[598,3822,3823],{},"−",[588,3825,3647],{},[588,3827,3677],{},[598,3829,1933],{},[588,3831,3652],{},[2445,3833,3834,3846],{},[2448,3835,3836],{},[2451,3837,3838],{"scriptlevel":2453,"displaystyle":1272},[585,3839,3840,3842,3844],{},[588,3841,3677],{},[598,3843,1933],{},[588,3845,3652],{},[2448,3847,3848],{},[2451,3849,3850],{"scriptlevel":2453,"displaystyle":1272},[585,3851,3852,3854,3856,3858],{},[588,3853,3647],{},[588,3855,3664],{},[598,3857,1933],{},[588,3859,3652],{},[598,3861,1295],{"fence":641},[598,3863,2059],{"separator":641},[592,3865],{"width":2514},[588,3867,1930],{},[598,3869,1933],{},[588,3871,1163],{},[598,3873,1680],{},[588,3875,3647],{},[613,3877,3878,3884],{},[585,3879,3880,3882],{},[588,3881,3664],{},[598,3883,1933],{},[1682,3885,2075],{},[588,3887,3652],{},[598,3889,1285],{},[588,3891,3647],{},[613,3893,3894,3900],{},[585,3895,3896,3898],{},[588,3897,3677],{},[598,3899,1933],{},[1682,3901,2075],{},[588,3903,3652],{},[598,3905,1680],{},[588,3907,3647],{},[633,3909,3910],{"encoding":635},"J = \\begin{pmatrix} \\cos\\varphi & -r \\sin\\varphi \\\\ \\sin\\varphi & r \\cos\\varphi \\end{pmatrix}, \\qquad \\det J = r \\cos^2\\varphi + r \\sin^2\\varphi = r",[569,3912,3914,3933,4132,4191,4250],{"className":3913,"ariaHidden":641},[640],[569,3915,3917,3921,3924,3927,3930],{"className":3916},[645],[569,3918],{"className":3919,"style":3920},[649],"height:0.6833em;",[569,3922,1163],{"className":3923,"style":1185},[654,655],[569,3925],{"className":3926,"style":733},[592],[569,3928,1680],{"className":3929},[683],[569,3931],{"className":3932,"style":733},[592],[569,3934,3936,3940,4102,4105,4108,4111,4114,4117,4120,4123,4126,4129],{"className":3935},[645],[569,3937],{"className":3938,"style":3939},[649],"height:2.4em;vertical-align:-0.95em;",[569,3941,3943,3951,4096],{"className":3942},[2675],[569,3944,3948],{"className":3945,"style":3947},[1357,3946],"delimcenter","top:0em;",[569,3949,1273],{"className":3950},[2682,725],[569,3952,3954],{"className":3953},[654],[569,3955,3957,4018,4021,4024],{"className":3956},[2439],[569,3958,3960],{"className":3959},[2733],[569,3961,3963,4009],{"className":3962},[702,973],[569,3964,3966,4006],{"className":3965},[706],[569,3967,3970,3988],{"className":3968,"style":3969},[710],"height:1.45em;",[569,3971,3973,3976],{"style":3972},"top:-3.61em;",[569,3974],{"className":3975,"style":1378},[718],[569,3977,3979,3982,3985],{"className":3978},[654],[569,3980,3664],{"className":3981},[1956],[569,3983],{"className":3984,"style":676},[592],[569,3986,3652],{"className":3987},[654,655],[569,3989,3991,3994],{"style":3990},"top:-2.41em;",[569,3992],{"className":3993,"style":1378},[718],[569,3995,3997,4000,4003],{"className":3996},[654],[569,3998,3677],{"className":3999},[1956],[569,4001],{"className":4002,"style":676},[592],[569,4004,3652],{"className":4005},[654,655],[569,4007,997],{"className":4008},[996],[569,4010,4012],{"className":4011},[706],[569,4013,4016],{"className":4014,"style":4015},[710],"height:0.95em;",[569,4017],{},[569,4019],{"className":4020,"style":2800},[2799],[569,4022],{"className":4023,"style":2800},[2799],[569,4025,4027],{"className":4026},[2733],[569,4028,4030,4088],{"className":4029},[702,973],[569,4031,4033,4085],{"className":4032},[706],[569,4034,4036,4062],{"className":4035,"style":3969},[710],[569,4037,4038,4041],{"style":3972},[569,4039],{"className":4040,"style":1378},[718],[569,4042,4044,4047,4050,4053,4056,4059],{"className":4043},[654],[569,4045,3823],{"className":4046},[654],[569,4048,3647],{"className":4049,"style":3702},[654,655],[569,4051],{"className":4052,"style":676},[592],[569,4054,3677],{"className":4055},[1956],[569,4057],{"className":4058,"style":676},[592],[569,4060,3652],{"className":4061},[654,655],[569,4063,4064,4067],{"style":3990},[569,4065],{"className":4066,"style":1378},[718],[569,4068,4070,4073,4076,4079,4082],{"className":4069},[654],[569,4071,3647],{"className":4072,"style":3702},[654,655],[569,4074],{"className":4075,"style":676},[592],[569,4077,3664],{"className":4078},[1956],[569,4080],{"className":4081,"style":676},[592],[569,4083,3652],{"className":4084},[654,655],[569,4086,997],{"className":4087},[996],[569,4089,4091],{"className":4090},[706],[569,4092,4094],{"className":4093,"style":4015},[710],[569,4095],{},[569,4097,4099],{"className":4098,"style":3947},[1466,3946],[569,4100,1295],{"className":4101},[2682,725],[569,4103],{"className":4104,"style":676},[592],[569,4106,2059],{"className":4107},[668],[569,4109],{"className":4110,"style":2962},[592],[569,4112],{"className":4113,"style":676},[592],[569,4115,1930],{"className":4116},[1956],[569,4118],{"className":4119,"style":676},[592],[569,4121,1163],{"className":4122,"style":1185},[654,655],[569,4124],{"className":4125,"style":733},[592],[569,4127,1680],{"className":4128},[683],[569,4130],{"className":4131,"style":733},[592],[569,4133,4135,4139,4142,4145,4176,4179,4182,4185,4188],{"className":4134},[645],[569,4136],{"className":4137,"style":4138},[649],"height:1.0585em;vertical-align:-0.1944em;",[569,4140,3647],{"className":4141,"style":3702},[654,655],[569,4143],{"className":4144,"style":676},[592],[569,4146,4148,4151],{"className":4147},[1956],[569,4149,3664],{"className":4150},[1956],[569,4152,4154],{"className":4153},[698],[569,4155,4157],{"className":4156},[702],[569,4158,4160],{"className":4159},[706],[569,4161,4164],{"className":4162,"style":4163},[710],"height:0.8641em;",[569,4165,4167,4170],{"style":4166},"top:-3.113em;margin-right:0.05em;",[569,4168],{"className":4169,"style":719},[718],[569,4171,4173],{"className":4172},[723,724,725,726],[569,4174,2075],{"className":4175},[654,726],[569,4177],{"className":4178,"style":676},[592],[569,4180,3652],{"className":4181},[654,655],[569,4183],{"className":4184,"style":881},[592],[569,4186,1285],{"className":4187},[885],[569,4189],{"className":4190,"style":881},[592],[569,4192,4194,4198,4201,4204,4235,4238,4241,4244,4247],{"className":4193},[645],[569,4195],{"className":4196,"style":4197},[649],"height:1.0663em;vertical-align:-0.1944em;",[569,4199,3647],{"className":4200,"style":3702},[654,655],[569,4202],{"className":4203,"style":676},[592],[569,4205,4207,4210],{"className":4206},[1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Fehler",[4264,4265,4266,4460,4463],"ul",{},[4267,4268,4269,4270,4339,4340,4409,4410,1114],"li",{},"Zeilen und Spalten vertauschen. Die Zeilen gehören zu den Komponenten ",[569,4271,4273,4290],{"className":4272},[572],[569,4274,4276],{"className":4275},[576],[578,4277,4278],{"xmlns":580},[582,4279,4280,4288],{},[585,4281,4282],{},[943,4283,4284,4286],{},[588,4285,590],{},[588,4287,913],{},[633,4289,951],{"encoding":635},[569,4291,4293],{"className":4292,"ariaHidden":641},[640],[569,4294,4296,4299],{"className":4295},[645],[569,4297],{"className":4298,"style":650},[649],[569,4300,4302,4305],{"className":4301},[654],[569,4303,590],{"className":4304,"style":656},[654,655],[569,4306,4308],{"className":4307},[698],[569,4309,4311,4331],{"className":4310},[702,973],[569,4312,4314,4328],{"className":4313},[706],[569,4315,4317],{"className":4316,"style":980},[710],[569,4318,4319,4322],{"style":983},[569,4320],{"className":4321,"style":719},[718],[569,4323,4325],{"className":4324},[723,724,725,726],[569,4326,913],{"className":4327},[654,655,726],[569,4329,997],{"className":4330},[996],[569,4332,4334],{"className":4333},[706],[569,4335,4337],{"className":4336,"style":1004},[710],[569,4338],{},", die Spalten zu den Variablen ",[569,4341,4343,4360],{"className":4342},[572],[569,4344,4346],{"className":4345},[576],[578,4347,4348],{"xmlns":580},[582,4349,4350,4358],{},[585,4351,4352],{},[943,4353,4354,4356],{},[588,4355,1056],{},[588,4357,1022],{},[633,4359,1061],{"encoding":635},[569,4361,4363],{"className":4362,"ariaHidden":641},[640],[569,4364,4366,4369],{"className":4365},[645],[569,4367],{"className":4368,"style":1071},[649],[569,4370,4372,4375],{"className":4371},[654],[569,4373,1056],{"className":4374},[654,655],[569,4376,4378],{"className":4377},[698],[569,4379,4381,4401],{"className":4380},[702,973],[569,4382,4384,4398],{"className":4383},[706],[569,4385,4387],{"className":4386,"style":980},[710],[569,4388,4389,4392],{"style":1092},[569,4390],{"className":4391,"style":719},[718],[569,4393,4395],{"className":4394},[723,724,725,726],[569,4396,1022],{"className":4397,"style":1038},[654,655,726],[569,4399,997],{"className":4400},[996],[569,4402,4404],{"className":4403},[706],[569,4405,4407],{"className":4406,"style":1111},[710],[569,4408],{},"; das Format ist ",[569,4411,4413,4430],{"className":4412},[572],[569,4414,4416],{"className":4415},[576],[578,4417,4418],{"xmlns":580},[582,4419,4420,4428],{},[585,4421,4422,4424,4426],{},[588,4423,631],{},[598,4425,859],{},[588,4427,621],{},[633,4429,864],{"encoding":635},[569,4431,4433,4451],{"className":4432,"ariaHidden":641},[640],[569,4434,4436,4439,4442,4445,4448],{"className":4435},[645],[569,4437],{"className":4438,"style":874},[649],[569,4440,631],{"className":4441},[654,655],[569,4443],{"className":4444,"style":881},[592],[569,4446,859],{"className":4447},[885],[569,4449],{"className":4450,"style":881},[592],[569,4452,4454,4457],{"className":4453},[645],[569,4455],{"className":4456,"style":802},[649],[569,4458,621],{"className":4459},[654,655],[4267,4461,4462],{},"Jacobi-Matrix und Hesse-Matrix verwechseln. Die Hesse-Matrix einer reellwertigen Funktion ist die Jacobi-Matrix ihres Gradienten.",[4267,4464,4465],{},"Von der Jacobi-Determinante sprechen, obwohl die Matrix nicht quadratisch ist.",{"title":4467,"searchDepth":4468,"depth":4468,"links":4469},"",2,[4470,4471,4472],{"id":562,"depth":4468,"text":563},{"id":2035,"depth":4468,"text":2036},{"id":4261,"depth":4468,"text":4262},[4474,4478,4481,4484,4487,4490,4492],{"lhs":4475,"rhs":2547,"where":4476},"2*x*y",{"x":4477,"y":4468},1,{"lhs":4479,"rhs":1684,"where":4480},"x^2",{"x":4477},{"lhs":4482,"rhs":2568,"where":4483},"3*y^2",{"y":4468},{"lhs":4485,"rhs":4486},"2 + 4*0.1 + 1*0.1","2.5",{"lhs":4488,"rhs":4489},"1.1^2 * 2.1","2.541",{"lhs":4491,"rhs":3647},"det([[cos(t), -r*sin(t)], [sin(t), r*cos(t)]])",{"lhs":4493,"rhs":2453},"round((cos(t + 1e-5)*r - cos(t - 1e-5)*r) \u002F (2e-5) + r*sin(t), 6)","f = (f_1, \\ldots, f_m)^{T}\\colon D \\subseteq \\mathbb{R}^n \\to \\mathbb{R}^m,\\ \\text{alle } f_i \\text{ partiell differenzierbar}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmi>T\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmspace>\u003C\u002Fmspace>\u003Cmspace width=\"0.1111em\"\u002F>\u003Cmo lspace=\"0em\" rspace=\"0.17em\">\u003C\u002Fmo>\u003Cmtext> ⁣\u003C\u002Fmtext>\u003Cmo lspace=\"0em\" rspace=\"0em\">:\u003C\u002Fmo>\u003Cmspace width=\"0.3333em\"\u002F>\u003Cmi>D\u003C\u002Fmi>\u003Cmo>⊆\u003C\u002Fmo>\u003Cmsup>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo>→\u003C\u002Fmo>\u003Cmsup>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f = (f_1, \\ldots, f_m)^{T}\\colon D \\subseteq \\mathbb{R}^n \\to \\mathbb{R}^m,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan 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style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8413em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1389em;\">T\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace nobreak\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1111em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:-0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mrel\">:\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.3333em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">⊆\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6644em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">→\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.6644em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">alle\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f_i\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">partiell differenzierbar\u003C\u002Fspan>",null,"md","jacobian-matrix","J_f(\\vec{x}) = \\begin{pmatrix} \\frac{\\partial f_1}{\\partial x_1} & \\cdots & \\frac{\\partial f_1}{\\partial x_n} \\\\ \\vdots & \\ddots & \\vdots \\\\ \\frac{\\partial f_m}{\\partial x_1} & \\cdots & \\frac{\\partial f_m}{\\partial x_n} \\end{pmatrix}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>J\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmover accent=\"true\">\u003Cmi>x\u003C\u002Fmi>\u003Cmo>⃗\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmtable rowspacing=\"0.16em\" columnalign=\"center center center\" columnspacing=\"1em\">\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmo lspace=\"0em\" rspace=\"0em\">⋯\u003C\u002Fmo>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi mathvariant=\"normal\">⋮\u003C\u002Fmi>\u003Cmpadded height=\"0em\" voffset=\"0em\">\u003Cmspace mathbackground=\"black\" width=\"0em\" height=\"1.5em\">\u003C\u002Fmspace>\u003C\u002Fmpadded>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmo lspace=\"0em\" rspace=\"0em\">⋱\u003C\u002Fmo>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmrow>\u003Cmi mathvariant=\"normal\">⋮\u003C\u002Fmi>\u003Cmpadded height=\"0em\" voffset=\"0em\">\u003Cmspace mathbackground=\"black\" width=\"0em\" height=\"1.5em\">\u003C\u002Fmspace>\u003C\u002Fmpadded>\u003C\u002Fmrow>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003Cmtr>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmo lspace=\"0em\" rspace=\"0em\">⋯\u003C\u002Fmo>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003Cmtd>\u003Cmstyle scriptlevel=\"0\" displaystyle=\"false\">\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>f\u003C\u002Fmi>\u003Cmi>m\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmstyle>\u003C\u002Fmtd>\u003C\u002Fmtr>\u003C\u002Fmtable>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">J_f(\\vec{x}) = \\begin{pmatrix} \\frac{\\partial f_1}{\\partial x_1} & \\cdots & \\frac{\\partial f_1}{\\partial x_n} \\\\ \\vdots & \\ddots & \\vdots \\\\ \\frac{\\partial f_m}{\\partial x_1} & \\cdots & \\frac{\\partial f_m}{\\partial x_n} \\end{pmatrix}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0361em;vertical-align:-0.2861em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0962em;\">J\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0962em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.2861em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord katex-accent\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.714em;\">\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"accent-body\" style=\"left:-0.2077em;\">\u003Cspan class=\"katex-overlay\" style=\"height:0.714em;width:0.471em;\">\u003Csvg xmlns=\"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg\" width=\"0.471em\" height=\"0.714em\" style=\"width:0.471em\" viewBox=\"0 0 471 714\" preserveAspectRatio=\"xMinYMin\">\u003Cpath d=\"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z\"\u002F>\u003C\u002Fsvg>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:4.6146em;vertical-align:-2.0573em;\">\u003C\u002Fspan>\u003Cspan 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class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9322em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.4461em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:-0.1076em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.4451em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.3675em;\">\u003Cspan class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">⋮\u003C\u002Fspan>\u003Cspan class=\"mord katex-rule\" style=\"border-right-width:0em;border-top-width:1.5em;bottom:0em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.0753em;\">\u003Cspan class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9322em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.4461em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1645em;\">\u003Cspan style=\"top:-2.357em;margin-left:-0.1076em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mathnormal mtight\">m\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.4451em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose 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class=\"minner\">⋱\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-1.8878em;\">\u003Cspan class=\"pstrut\" style=\"height:3.5em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"minner\">⋯\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:2.0573em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"col-align-c\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:2.5573em;\">\u003Cspan style=\"top:-5.3126em;\">\u003Cspan class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9322em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1645em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.4461em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3173em;\">\u003Cspan style=\"top:-2.357em;margin-left:-0.1076em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.4451em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.3675em;\">\u003Cspan class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">⋮\u003C\u002Fspan>\u003Cspan class=\"mord katex-rule\" style=\"border-right-width:0em;border-top-width:1.5em;bottom:0em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-2.0753em;\">\u003Cspan class=\"pstrut\" style=\"height:3.6875em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.9322em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1645em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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