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z^2",[573,1786,1788,1837,1882,1927],{"className":1787,"ariaHidden":605},[604],[573,1789,1791,1795,1798,1801,1804,1808,1812,1816,1819,1822,1825,1828,1831,1834],{"className":1790},[609],[573,1792],{"className":1793,"style":1794},[613],"height:1em;vertical-align:-0.25em;",[573,1796,755],{"className":1797,"style":775},[618,733],[573,1799,1741],{"className":1800},[1200],[573,1802,1744],{"className":1803},[618,733],[573,1805,1747],{"className":1806},[1807],"mpunct",[573,1809],{"className":1810,"style":1811},[664],"margin-right:0.1667em;",[573,1813,1750],{"className":1814,"style":1815},[618,733],"margin-right:0.0359em;",[573,1817,1747],{"className":1818},[1807],[573,1820],{"className":1821,"style":1811},[664],[573,1823,717],{"className":1824,"style":734},[618,733],[573,1826,1757],{"className":1827},[1343],[573,1829],{"className":1830,"style":665},[664],[573,1832,637],{"className":1833},[669],[573,1835],{"className":1836,"style":665},[664],[573,1838,1840,1844,1873,1876,1879],{"className":1839},[609],[573,1841],{"className":1842,"style":1843},[613],"height:0.8974em;vertical-align:-0.0833em;",[573,1845,1847,1850],{"className":1846},[618],[573,1848,1744],{"className":1849},[618,733],[573,1851,1853],{"className":1852},[1244],[573,1854,1856],{"className":1855},[1208],[573,1857,1859],{"className":1858},[1213],[573,1860,1862],{"className":1861,"style":1310},[1217],[573,1863,1864,1867],{"style":1313},[573,1865],{"className":1866,"style":1261},[1225],[573,1868,1870],{"className":1869},[1265,1266,1267,1268],[573,1871,1087],{"className":1872},[618,1268],[573,1874],{"className":1875,"style":685},[664],[573,1877,1103],{"className":1878},[689],[573,1880],{"className":1881,"style":685},[664],[573,1883,1885,1889,1918,1921,1924],{"className":1884},[609],[573,1886],{"className":1887,"style":1888},[613],"height:1.0085em;vertical-align:-0.1944em;",[573,1890,1892,1895],{"className":1891},[618],[573,1893,1750],{"className":1894,"style":1815},[618,733],[573,1896,1898],{"className":1897},[1244],[573,1899,1901],{"className":1900},[1208],[573,1902,1904],{"className":1903},[1213],[573,1905,1907],{"className":1906,"style":1310},[1217],[573,1908,1909,1912],{"style":1313},[573,1910],{"className":1911,"style":1261},[1225],[573,1913,1915],{"className":1914},[1265,1266,1267,1268],[573,1916,1087],{"className":1917},[618,1268],[573,1919],{"className":1920,"style":685},[664],[573,1922,1103],{"className":1923},[689],[573,1925],{"className":1926,"style":685},[664],[573,1928,1930,1933],{"className":1929},[609],[573,1931],{"className":1932,"style":1310},[613],[573,1934,1936,1939],{"className":1935},[618],[573,1937,717],{"className":1938,"style":734},[618,733],[573,1940,1942],{"className":1941},[1244],[573,1943,1945],{"className":1944},[1208],[573,1946,1948],{"className":1947},[1213],[573,1949,1951],{"className":1950,"style":1310},[1217],[573,1952,1953,1956],{"style":1313},[573,1954],{"className":1955,"style":1261},[1225],[573,1957,1959],{"className":1958},[1265,1266,1267,1268],[573,1960,1087],{"className":1961},[618,1268]," 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6",[573,2000,2002,2023,2042,2060,2078],{"className":2001,"ariaHidden":605},[604],[573,2003,2005,2008,2011,2014,2017,2020],{"className":2004},[609],[573,2006],{"className":2007,"style":768},[613],[573,2009,595],{"className":2010},[618],[573,2012,755],{"className":2013,"style":775},[618,733],[573,2015],{"className":2016,"style":665},[664],[573,2018,637],{"className":2019},[669],[573,2021],{"className":2022,"style":665},[664],[573,2024,2026,2030,2033,2036,2039],{"className":2025},[609],[573,2027],{"className":2028,"style":2029},[613],"height:0.7278em;vertical-align:-0.0833em;",[573,2031,1087],{"className":2032},[618],[573,2034],{"className":2035,"style":685},[664],[573,2037,1103],{"className":2038},[689],[573,2040],{"className":2041,"style":685},[664],[573,2043,2045,2048,2051,2054,2057],{"className":2044},[609],[573,2046],{"className":2047,"style":2029},[613],[573,2049,1087],{"className":2050},[618],[573,2052],{"className":2053,"style":685},[664],[573,2055,1103],{"className":2056},[689],[573,2058],{"className":2059,"style":685},[664],[573,2061,2063,2066,2069,2072,2075],{"className":2062},[609],[573,2064],{"className":2065,"style":833},[613],[573,2067,1087],{"className":2068},[618],[573,2070],{"className":2071,"style":665},[664],[573,2073,637],{"className":2074},[669],[573,2076],{"className":2077,"style":665},[664],[573,2079,2081,2084],{"className":2080},[609],[573,2082],{"className":2083,"style":833},[613],[573,2085,1995],{"className":2086},[618],".",[565,2089,2090,2091,2216,2217,2458,2459,2216,2524,2576,2577,2632],{},"Die Funktion ",[573,2092,2094,2116],{"className":2093},[576],[573,2095,2097],{"className":2096},[580],[582,2098,2099],{"xmlns":584},[586,2100,2101,2113],{},[589,2102,2103,2105,2107],{},[592,2104,755],{},[635,2106,637],{},[1075,2108,2109,2111],{},[797,2110,1108],{},[592,2112,1098],{},[597,2114,2115],{"encoding":599},"f = 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mit ",[573,2218,2220,2263],{"className":2219},[576],[573,2221,2223],{"className":2222},[580],[582,2224,2225],{"xmlns":584},[586,2226,2227,2260],{},[589,2228,2229,2231,2233],{},[592,2230,1098],{},[635,2232,637],{},[2234,2235,2236],"msqrt",{},[589,2237,2238,2244,2246,2252,2254],{},[1080,2239,2240,2242],{},[592,2241,1744],{},[797,2243,1087],{},[635,2245,1103],{},[1080,2247,2248,2250],{},[592,2249,1750],{},[797,2251,1087],{},[635,2253,1103],{},[1080,2255,2256,2258],{},[592,2257,717],{},[797,2259,1087],{},[597,2261,2262],{"encoding":599},"r = \\sqrt{x^2 + y^2 + z^2}",[573,2264,2266,2284],{"className":2265,"ariaHidden":605},[604],[573,2267,2269,2272,2275,2278,2281],{"className":2268},[609],[573,2270],{"className":2271,"style":729},[613],[573,2273,1098],{"className":2274,"style":1240},[618,733],[573,2276],{"className":2277,"style":665},[664],[573,2279,637],{"className":2280},[669],[573,2282],{"className":2283,"style":665},[664],[573,2285,2287,2291],{"className":2286},[609],[573,2288],{"className":2289,"style":2290},[613],"height:1.24em;vertical-align:-0.2822em;",[573,2292,2295],{"className":2293},[618,2294],"sqrt",[573,2296,2298,2449],{"className":2297},[1208,1209],[573,2299,2301,2446],{"className":2300},[1213],[573,2302,2305,2423],{"className":2303,"style":2304},[1217],"height:0.9578em;",[573,2306,2310,2314],{"className":2307,"style":2309},[2308],"svg-align","top:-3.2em;",[573,2311],{"className":2312,"style":2313},[1225],"height:3.2em;",[573,2315,2318,2347,2350,2353,2356,2385,2388,2391,2394],{"className":2316,"style":2317},[618],"padding-left:1em;",[573,2319,2321,2324],{"className":2320},[618],[573,2322,1744],{"className":2323},[618,733],[573,2325,2327],{"className":2326},[1244],[573,2328,2330],{"className":2329},[1208],[573,2331,2333],{"className":2332},[1213],[573,2334,2336],{"className":2335,"style":1254},[1217],[573,2337,2338,2341],{"style":1257},[573,2339],{"className":2340,"style":1261},[1225],[573,2342,2344],{"className":2343},[1265,1266,1267,1268],[573,2345,1087],{"className":2346},[618,1268],[573,2348],{"className":2349,"style":685},[664],[573,2351,1103],{"className":2352},[689],[573,2354],{"className":2355,"style":685},[664],[573,2357,2359,2362],{"className":2358},[618],[573,2360,1750],{"className":2361,"style":1815},[618,733],[573,2363,2365],{"className":2364},[1244],[573,2366,2368],{"className":2367},[1208],[573,2369,2371],{"className":2370},[1213],[573,2372,2374],{"className":2373,"style":1254},[1217],[573,2375,2376,2379],{"style":1257},[573,2377],{"className":2378,"style":1261},[1225],[573,2380,2382],{"className":2381},[1265,1266,1267,1268],[573,2383,1087],{"className":2384},[618,1268],[573,2386],{"className":2387,"style":685},[664],[573,2389,1103],{"className":2390},[689],[573,2392],{"className":2393,"style":685},[664],[573,2395,2397,2400],{"className":2396},[618],[573,2398,717],{"className":2399,"style":734},[618,733],[573,2401,2403],{"className":2402},[1244],[573,2404,2406],{"className":2405},[1208],[573,2407,2409],{"className":2408},[1213],[573,2410,2412],{"className":2411,"style":1254},[1217],[573,2413,2414,2417],{"style":1257},[573,2415],{"className":2416,"style":1261},[1225],[573,2418,2420],{"className":2419},[1265,1266,1267,1268],[573,2421,1087],{"className":2422},[618,1268],[573,2424,2426,2429],{"style":2425},"top:-2.9178em;",[573,2427],{"className":2428,"style":2313},[1225],[573,2430,2434],{"className":2431,"style":2433},[2432],"hide-tail","min-width:1.02em;height:1.28em;",[2435,2436,2442],"svg",{"xmlns":2437,"width":2438,"height":2439,"viewBox":2440,"preserveAspectRatio":2441},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.28em","0 0 400000 1296","xMinYMin slice",[2443,2444],"path",{"d":2445},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[573,2447,1330],{"className":2448},[1329],[573,2450,2452],{"className":2451},[1213],[573,2453,2456],{"className":2454,"style":2455},[1217],"height:0.2822em;",[573,2457],{}," ist außerhalb des Ursprungs harmonisch. Im Punkt ",[573,2460,2462,2488],{"className":2461},[576],[573,2463,2465],{"className":2464},[580],[582,2466,2467],{"xmlns":584},[586,2468,2469,2485],{},[589,2470,2471,2473,2475,2477,2479,2481,2483],{},[635,2472,1741],{"stretchy":1740},[797,2474,1108],{},[635,2476,1747],{"separator":605},[797,2478,1087],{},[635,2480,1747],{"separator":605},[797,2482,1087],{},[635,2484,1757],{"stretchy":1740},[597,2486,2487],{"encoding":599},"(1, 2, 2)",[573,2489,2491],{"className":2490,"ariaHidden":605},[604],[573,2492,2494,2497,2500,2503,2506,2509,2512,2515,2518,2521],{"className":2493},[609],[573,2495],{"className":2496,"style":1794},[613],[573,2498,1741],{"className":2499},[1200],[573,2501,1108],{"className":2502},[618],[573,2504,1747],{"className":2505},[1807],[573,2507],{"className":2508,"style":1811},[664],[573,2510,1087],{"className":2511},[618],[573,2513,1747],{"className":2514},[1807],[573,2516],{"className":2517,"style":1811},[664],[573,2519,1087],{"className":2520},[618],[573,2522,1757],{"className":2523},[1343],[573,2525,2527,2546],{"className":2526},[576],[573,2528,2530],{"className":2529},[580],[582,2531,2532],{"xmlns":584},[586,2533,2534,2543],{},[589,2535,2536,2538,2540],{},[592,2537,1098],{},[635,2539,637],{},[797,2541,2542],{},"3",[597,2544,2545],{"encoding":599},"r = 3",[573,2547,2549,2567],{"className":2548,"ariaHidden":605},[604],[573,2550,2552,2555,2558,2561,2564],{"className":2551},[609],[573,2553],{"className":2554,"style":729},[613],[573,2556,1098],{"className":2557,"style":1240},[618,733],[573,2559],{"className":2560,"style":665},[664],[573,2562,637],{"className":2563},[669],[573,2565],{"className":2566,"style":665},[664],[573,2568,2570,2573],{"className":2569},[609],[573,2571],{"className":2572,"style":833},[613],[573,2574,2542],{"className":2575},[618]," ergibt sich ",[573,2578,2580,2599],{"className":2579},[576],[573,2581,2583],{"className":2582},[580],[582,2584,2585],{"xmlns":584},[586,2586,2587,2597],{},[589,2588,2589,2591,2593,2595],{},[592,2590,595],{"mathvariant":594},[592,2592,755],{},[635,2594,637],{},[797,2596,799],{},[597,2598,950],{"encoding":599},[573,2600,2602,2623],{"className":2601,"ariaHidden":605},[604],[573,2603,2605,2608,2611,2614,2617,2620],{"className":2604},[609],[573,2606],{"className":2607,"style":768},[613],[573,2609,595],{"className":2610},[618],[573,2612,755],{"className":2613,"style":775},[618,733],[573,2615],{"className":2616,"style":665},[664],[573,2618,637],{"className":2619},[669],[573,2621],{"className":2622,"style":665},[664],[573,2624,2626,2629],{"className":2625},[609],[573,2627],{"className":2628,"style":833},[613],[573,2630,799],{"className":2631},[618],". Sie ist bis auf einen Faktor das Potential einer Punktladung.",[565,2634,2635,2636,2770,2771,2886,2887,2770,2992,3188],{},"In der Ebene sind ",[573,2637,2639,2670],{"className":2638},[576],[573,2640,2642],{"className":2641},[580],[582,2643,2644],{"xmlns":584},[586,2645,2646,2667],{},[589,2647,2648,2650,2652,2658,2661],{},[592,2649,755],{},[635,2651,637],{},[1080,2653,2654,2656],{},[592,2655,1744],{},[797,2657,1087],{},[635,2659,2660],{},"−",[1080,2662,2663,2665],{},[592,2664,1750],{},[797,2666,1087],{},[597,2668,2669],{"encoding":599},"f = x^2 - y^2",[573,2671,2673,2691,2735],{"className":2672,"ariaHidden":605},[604],[573,2674,2676,2679,2682,2685,2688],{"className":2675},[609],[573,2677],{"className":2678,"style":768},[613],[573,2680,755],{"className":2681,"style":775},[618,733],[573,2683],{"className":2684,"style":665},[664],[573,2686,637],{"className":2687},[669],[573,2689],{"className":2690,"style":665},[664],[573,2692,2694,2697,2726,2729,2732],{"className":2693},[609],[573,2695],{"className":2696,"style":1843},[613],[573,2698,2700,2703],{"className":2699},[618],[573,2701,1744],{"className":2702},[618,733],[573,2704,2706],{"className":2705},[1244],[573,2707,2709],{"className":2708},[1208],[573,2710,2712],{"className":2711},[1213],[573,2713,2715],{"className":2714,"style":1310},[1217],[573,2716,2717,2720],{"style":1313},[573,2718],{"className":2719,"style":1261},[1225],[573,2721,2723],{"className":2722},[1265,1266,1267,1268],[573,2724,1087],{"className":2725},[618,1268],[573,2727],{"className":2728,"style":685},[664],[573,2730,2660],{"className":2731},[689],[573,2733],{"className":2734,"style":685},[664],[573,2736,2738,2741],{"className":2737},[609],[573,2739],{"className":2740,"style":1888},[613],[573,2742,2744,2747],{"className":2743},[618],[573,2745,1750],{"className":2746,"style":1815},[618,733],[573,2748,2750],{"className":2749},[1244],[573,2751,2753],{"className":2752},[1208],[573,2754,2756],{"className":2755},[1213],[573,2757,2759],{"className":2758,"style":1310},[1217],[573,2760,2761,2764],{"style":1313},[573,2762],{"className":2763,"style":1261},[1225],[573,2765,2767],{"className":2766},[1265,1266,1267,1268],[573,2768,1087],{"className":2769},[618,1268]," (mit ",[573,2772,2774,2808],{"className":2773},[576],[573,2775,2777],{"className":2776},[580],[582,2778,2779],{"xmlns":584},[586,2780,2781,2805],{},[589,2782,2783,2785,2787,2789,2791,2793,2795,2797,2799,2801,2803],{},[592,2784,595],{"mathvariant":594},[592,2786,755],{},[635,2788,637],{},[797,2790,1087],{},[635,2792,1103],{},[635,2794,1741],{"stretchy":1740},[635,2796,2660],{},[797,2798,1087],{},[635,2800,1757],{"stretchy":1740},[635,2802,637],{},[797,2804,799],{},[597,2806,2807],{"encoding":599},"\\Delta f = 2 + (-2) = 0",[573,2809,2811,2832,2850,2877],{"className":2810,"ariaHidden":605},[604],[573,2812,2814,2817,2820,2823,2826,2829],{"className":2813},[609],[573,2815],{"className":2816,"style":768},[613],[573,2818,595],{"className":2819},[618],[573,2821,755],{"className":2822,"style":775},[618,733],[573,2824],{"className":2825,"style":665},[664],[573,2827,637],{"className":2828},[669],[573,2830],{"className":2831,"style":665},[664],[573,2833,2835,2838,2841,2844,2847],{"className":2834},[609],[573,2836],{"className":2837,"style":2029},[613],[573,2839,1087],{"className":2840},[618],[573,2842],{"className":2843,"style":685},[664],[573,2845,1103],{"className":2846},[689],[573,2848],{"className":2849,"style":685},[664],[573,2851,2853,2856,2859,2862,2865,2868,2871,2874],{"className":2852},[609],[573,2854],{"className":2855,"style":1794},[613],[573,2857,1741],{"className":2858},[1200],[573,2860,2660],{"className":2861},[618],[573,2863,1087],{"className":2864},[618],[573,2866,1757],{"className":2867},[1343],[573,2869],{"className":2870,"style":665},[664],[573,2872,637],{"className":2873},[669],[573,2875],{"className":2876,"style":665},[664],[573,2878,2880,2883],{"className":2879},[609],[573,2881],{"className":2882,"style":833},[613],[573,2884,799],{"className":2885},[618],") und ",[573,2888,2890,2921],{"className":2889},[576],[573,2891,2893],{"className":2892},[580],[582,2894,2895],{"xmlns":584},[586,2896,2897,2918],{},[589,2898,2899,2901,2903,2910,2913,2916],{},[592,2900,755],{},[635,2902,637],{},[1080,2904,2905,2908],{},[592,2906,2907],{},"e",[592,2909,1744],{},[592,2911,2912],{},"sin",[635,2914,2915],{},"⁡",[592,2917,1750],{},[597,2919,2920],{"encoding":599},"f = e^x \\sin y",[573,2922,2924,2942],{"className":2923,"ariaHidden":605},[604],[573,2925,2927,2930,2933,2936,2939],{"className":2926},[609],[573,2928],{"className":2929,"style":768},[613],[573,2931,755],{"className":2932,"style":775},[618,733],[573,2934],{"className":2935,"style":665},[664],[573,2937,637],{"className":2938},[669],[573,2940],{"className":2941,"style":665},[664],[573,2943,2945,2949,2979,2982,2986,2989],{"className":2944},[609],[573,2946],{"className":2947,"style":2948},[613],"height:0.8623em;vertical-align:-0.1944em;",[573,2950,2952,2955],{"className":2951},[618],[573,2953,2907],{"className":2954},[618,733],[573,2956,2958],{"className":2957},[1244],[573,2959,2961],{"className":2960},[1208],[573,2962,2964],{"className":2963},[1213],[573,2965,2968],{"className":2966,"style":2967},[1217],"height:0.6644em;",[573,2969,2970,2973],{"style":1313},[573,2971],{"className":2972,"style":1261},[1225],[573,2974,2976],{"className":2975},[1265,1266,1267,1268],[573,2977,1744],{"className":2978},[618,733,1268],[573,2980],{"className":2981,"style":1811},[664],[573,2983,2912],{"className":2984},[2985],"mop",[573,2987],{"className":2988,"style":1811},[664],[573,2990,1750],{"className":2991,"style":1815},[618,733],[573,2993,2995,3043],{"className":2994},[576],[573,2996,2998],{"className":2997},[580],[582,2999,3000],{"xmlns":584},[586,3001,3002,3040],{},[589,3003,3004,3006,3008,3010,3016,3018,3020,3022,3024,3030,3032,3034,3036,3038],{},[592,3005,595],{"mathvariant":594},[592,3007,755],{},[635,3009,637],{},[1080,3011,3012,3014],{},[592,3013,2907],{},[592,3015,1744],{},[592,3017,2912],{},[635,3019,2915],{},[592,3021,1750],{},[635,3023,2660],{},[1080,3025,3026,3028],{},[592,3027,2907],{},[592,3029,1744],{},[592,3031,2912],{},[635,3033,2915],{},[592,3035,1750],{},[635,3037,637],{},[797,3039,799],{},[597,3041,3042],{"encoding":599},"\\Delta f = e^x \\sin y - e^x \\sin y = 0",[573,3044,3046,3067,3123,3179],{"className":3045,"ariaHidden":605},[604],[573,3047,3049,3052,3055,3058,3061,3064],{"className":3048},[609],[573,3050],{"className":3051,"style":768},[613],[573,3053,595],{"className":3054},[618],[573,3056,755],{"className":3057,"style":775},[618,733],[573,3059],{"className":3060,"style":665},[664],[573,3062,637],{"className":3063},[669],[573,3065],{"className":3066,"style":665},[664],[573,3068,3070,3073,3102,3105,3108,3111,3114,3117,3120],{"className":3069},[609],[573,3071],{"className":3072,"style":2948},[613],[573,3074,3076,3079],{"className":3075},[618],[573,3077,2907],{"className":3078},[618,733],[573,3080,3082],{"className":3081},[1244],[573,3083,3085],{"className":3084},[1208],[573,3086,3088],{"className":3087},[1213],[573,3089,3091],{"className":3090,"style":2967},[1217],[573,3092,3093,3096],{"style":1313},[573,3094],{"className":3095,"style":1261},[1225],[573,3097,3099],{"className":3098},[1265,1266,1267,1268],[573,3100,1744],{"className":3101},[618,733,1268],[573,3103],{"className":3104,"style":1811},[664],[573,3106,2912],{"className":3107},[2985],[573,3109],{"className":3110,"style":1811},[664],[573,3112,1750],{"className":3113,"style":1815},[618,733],[573,3115],{"className":3116,"style":685},[664],[573,3118,2660],{"className":3119},[689],[573,3121],{"className":3122,"style":685},[664],[573,3124,3126,3129,3158,3161,3164,3167,3170,3173,3176],{"className":3125},[609],[573,3127],{"className":3128,"style":2948},[613],[573,3130,3132,3135],{"className":3131},[618],[573,3133,2907],{"className":3134},[618,733],[573,3136,3138],{"className":3137},[1244],[573,3139,3141],{"className":3140},[1208],[573,3142,3144],{"className":3143},[1213],[573,3145,3147],{"className":3146,"style":2967},[1217],[573,3148,3149,3152],{"style":1313},[573,3150],{"className":3151,"style":1261},[1225],[573,3153,3155],{"className":3154},[1265,1266,1267,1268],[573,3156,1744],{"className":3157},[618,733,1268],[573,3159],{"className":3160,"style":1811},[664],[573,3162,2912],{"className":3163},[2985],[573,3165],{"className":3166,"style":1811},[664],[573,3168,1750],{"className":3169,"style":1815},[618,733],[573,3171],{"className":3172,"style":665},[664],[573,3174,637],{"className":3175},[669],[573,3177],{"className":3178,"style":665},[664],[573,3180,3182,3185],{"className":3181},[609],[573,3183],{"className":3184,"style":833},[613],[573,3186,799],{"className":3187},[618],") harmonisch.",[565,3190,3191,3192,1962,3377,3596],{},"Mit der Polarform: Für ",[573,3193,3195,3233],{"className":3194},[576],[573,3196,3198],{"className":3197},[580],[582,3199,3200],{"xmlns":584},[586,3201,3202,3230],{},[589,3203,3204,3206,3208,3214,3216,3222,3224],{},[592,3205,755],{},[635,3207,637],{},[1080,3209,3210,3212],{},[592,3211,1098],{},[797,3213,1087],{},[635,3215,637],{},[1080,3217,3218,3220],{},[592,3219,1744],{},[797,3221,1087],{},[635,3223,1103],{},[1080,3225,3226,3228],{},[592,3227,1750],{},[797,3229,1087],{},[597,3231,3232],{"encoding":599},"f = r^2 = x^2 + y^2",[573,3234,3236,3254,3298,3342],{"className":3235,"ariaHidden":605},[604],[573,3237,3239,3242,3245,3248,3251],{"className":3238},[609],[573,3240],{"className":3241,"style":768},[613],[573,3243,755],{"className":3244,"style":775},[618,733],[573,3246],{"className":3247,"style":665},[664],[573,3249,637],{"className":3250},[669],[573,3252],{"className":3253,"style":665},[664],[573,3255,3257,3260,3289,3292,3295],{"className":3256},[609],[573,3258],{"className":3259,"style":1310},[613],[573,3261,3263,3266],{"className":3262},[618],[573,3264,1098],{"className":3265,"style":1240},[618,733],[573,3267,3269],{"className":3268},[1244],[573,3270,3272],{"className":3271},[1208],[573,3273,3275],{"className":3274},[1213],[573,3276,3278],{"className":3277,"style":1310},[1217],[573,3279,3280,3283],{"style":1313},[573,3281],{"className":3282,"style":1261},[1225],[573,3284,3286],{"className":3285},[1265,1266,1267,1268],[573,3287,1087],{"className":3288},[618,1268],[573,3290],{"className":3291,"style":665},[664],[573,3293,637],{"className":3294},[669],[573,3296],{"className":3297,"style":665},[664],[573,3299,3301,3304,3333,3336,3339],{"className":3300},[609],[573,3302],{"className":3303,"style":1843},[613],[573,3305,3307,3310],{"className":3306},[618],[573,3308,1744],{"className":3309},[618,733],[573,3311,3313],{"className":3312},[1244],[573,3314,3316],{"className":3315},[1208],[573,3317,3319],{"className":3318},[1213],[573,3320,3322],{"className":3321,"style":1310},[1217],[573,3323,3324,3327],{"style":1313},[573,3325],{"className":3326,"style":1261},[1225],[573,3328,3330],{"className":3329},[1265,1266,1267,1268],[573,3331,1087],{"className":3332},[618,1268],[573,3334],{"className":3335,"style":685},[664],[573,3337,1103],{"className":3338},[689],[573,3340],{"className":3341,"style":685},[664],[573,3343,3345,3348],{"className":3344},[609],[573,3346],{"className":3347,"style":1888},[613],[573,3349,3351,3354],{"className":3350},[618],[573,3352,1750],{"className":3353,"style":1815},[618,733],[573,3355,3357],{"className":3356},[1244],[573,3358,3360],{"className":3359},[1208],[573,3361,3363],{"className":3362},[1213],[573,3364,3366],{"className":3365,"style":1310},[1217],[573,3367,3368,3371],{"style":1313},[573,3369],{"className":3370,"style":1261},[1225],[573,3372,3374],{"className":3373},[1265,1266,1267,1268],[573,3375,1087],{"className":3376},[618,1268],[573,3378,3380,3423],{"className":3379},[576],[573,3381,3383],{"className":3382},[580],[582,3384,3385],{"xmlns":584},[586,3386,3387,3420],{},[589,3388,3389,3391,3393,3395,3397,3399,3405,3407,3409,3411,3413,3415,3417],{},[592,3390,595],{"mathvariant":594},[592,3392,755],{},[635,3394,637],{},[797,3396,1087],{},[635,3398,1103],{},[1075,3400,3401,3403],{},[797,3402,1108],{},[592,3404,1098],{},[635,3406,643],{},[797,3408,1087],{},[592,3410,1098],{},[635,3412,1103],{},[797,3414,799],{},[635,3416,637],{},[797,3418,3419],{},"4",[597,3421,3422],{"encoding":599},"\\Delta f = 2 + \\frac{1}{r} \\cdot 2r + 0 = 4",[573,3424,3426,3447,3465,3548,3569,3587],{"className":3425,"ariaHidden":605},[604],[573,3427,3429,3432,3435,3438,3441,3444],{"className":3428},[609],[573,3430],{"className":3431,"style":768},[613],[573,3433,595],{"className":3434},[618],[573,3436,755],{"className":3437,"style":775},[618,733],[573,3439],{"className":3440,"style":665},[664],[573,3442,637],{"className":3443},[669],[573,3445],{"className":3446,"style":665},[664],[573,3448,3450,3453,3456,3459,3462],{"className":3449},[609],[573,3451],{"className":3452,"style":2029},[613],[573,3454,1087],{"className":3455},[618],[573,3457],{"className":3458,"style":685},[664],[573,3460,1103],{"className":3461},[689],[573,3463],{"className":3464,"style":685},[664],[573,3466,3468,3471,3539,3542,3545],{"className":3467},[609],[573,3469],{"className":3470,"style":2143},[613],[573,3472,3474,3477,3536],{"className":3473},[618],[573,3475],{"className":3476},[1200,1201],[573,3478,3480],{"className":3479},[1075],[573,3481,3483,3528],{"className":3482},[1208,1209],[573,3484,3486,3525],{"className":3485},[1213],[573,3487,3489,3503,3511],{"className":3488,"style":2162},[1217],[573,3490,3491,3494],{"style":2165},[573,3492],{"className":3493,"style":1226},[1225],[573,3495,3497],{"className":3496},[1265,1266,1267,1268],[573,3498,3500],{"className":3499},[618,1268],[573,3501,1098],{"className":3502,"style":1240},[618,733,1268],[573,3504,3505,3508],{"style":1274},[573,3506],{"className":3507,"style":1226},[1225],[573,3509],{"className":3510,"style":1282},[1281],[573,3512,3513,3516],{"style":2188},[573,3514],{"className":3515,"style":1226},[1225],[573,3517,3519],{"className":3518},[1265,1266,1267,1268],[573,3520,3522],{"className":3521},[618,1268],[573,3523,1108],{"className":3524},[618,1268],[573,3526,1330],{"className":3527},[1329],[573,3529,3531],{"className":3530},[1213],[573,3532,3534],{"className":3533,"style":2210},[1217],[573,3535],{},[573,3537],{"className":3538},[1343,1201],[573,3540],{"className":3541,"style":685},[664],[573,3543,643],{"className":3544},[689],[573,3546],{"className":3547,"style":685},[664],[573,3549,3551,3554,3557,3560,3563,3566],{"className":3550},[609],[573,3552],{"className":3553,"style":2029},[613],[573,3555,1087],{"className":3556},[618],[573,3558,1098],{"className":3559,"style":1240},[618,733],[573,3561],{"className":3562,"style":685},[664],[573,3564,1103],{"className":3565},[689],[573,3567],{"className":3568,"style":685},[664],[573,3570,3572,3575,3578,3581,3584],{"className":3571},[609],[573,3573],{"className":3574,"style":833},[613],[573,3576,799],{"className":3577},[618],[573,3579],{"className":3580,"style":665},[664],[573,3582,637],{"className":3583},[669],[573,3585],{"className":3586,"style":665},[664],[573,3588,3590,3593],{"className":3589},[609],[573,3591],{"className":3592,"style":833},[613],[573,3594,3419],{"className":3595},[618],", wie in kartesischen Koordinaten.",[560,3598,3600],{"id":3599},"typische-fehler","Typische Fehler",[3602,3603,3604,3888,3983],"ul",{},[3605,3606,3607,3608,3641,3642,3724,3725,3807,3808,2087],"li",{},"Die gemischten Ableitungen mitnehmen. In ",[573,3609,3611,3626],{"className":3610},[576],[573,3612,3614],{"className":3613},[580],[582,3615,3616],{"xmlns":584},[586,3617,3618,3624],{},[589,3619,3620,3622],{},[592,3621,595],{"mathvariant":594},[592,3623,755],{},[597,3625,758],{"encoding":599},[573,3627,3629],{"className":3628,"ariaHidden":605},[604],[573,3630,3632,3635,3638],{"className":3631},[609],[573,3633],{"className":3634,"style":768},[613],[573,3636,595],{"className":3637},[618],[573,3639,755],{"className":3640,"style":775},[618,733]," stehen nur ",[573,3643,3645,3668],{"className":3644},[576],[573,3646,3648],{"className":3647},[580],[582,3649,3650],{"xmlns":584},[586,3651,3652,3665],{},[589,3653,3654],{},[3655,3656,3657,3659],"msub",{},[592,3658,755],{},[589,3660,3661,3663],{},[592,3662,1744],{},[592,3664,1744],{},[597,3666,3667],{"encoding":599},"f_{xx}",[573,3669,3671],{"className":3670,"ariaHidden":605},[604],[573,3672,3674,3677],{"className":3673},[609],[573,3675],{"className":3676,"style":768},[613],[573,3678,3680,3683],{"className":3679},[618],[573,3681,755],{"className":3682,"style":775},[618,733],[573,3684,3686],{"className":3685},[1244],[573,3687,3689,3715],{"className":3688},[1208,1209],[573,3690,3692,3712],{"className":3691},[1213],[573,3693,3696],{"className":3694,"style":3695},[1217],"height:0.1514em;",[573,3697,3699,3702],{"style":3698},"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;",[573,3700],{"className":3701,"style":1261},[1225],[573,3703,3705],{"className":3704},[1265,1266,1267,1268],[573,3706,3708],{"className":3707},[618,1268],[573,3709,3711],{"className":3710},[618,733,1268],"xx",[573,3713,1330],{"className":3714},[1329],[573,3716,3718],{"className":3717},[1213],[573,3719,3722],{"className":3720,"style":3721},[1217],"height:0.15em;",[573,3723],{},", ",[573,3726,3728,3750],{"className":3727},[576],[573,3729,3731],{"className":3730},[580],[582,3732,3733],{"xmlns":584},[586,3734,3735,3747],{},[589,3736,3737],{},[3655,3738,3739,3741],{},[592,3740,755],{},[589,3742,3743,3745],{},[592,3744,1750],{},[592,3746,1750],{},[597,3748,3749],{"encoding":599},"f_{yy}",[573,3751,3753],{"className":3752,"ariaHidden":605},[604],[573,3754,3756,3760],{"className":3755},[609],[573,3757],{"className":3758,"style":3759},[613],"height:0.9805em;vertical-align:-0.2861em;",[573,3761,3763,3766],{"className":3762},[618],[573,3764,755],{"className":3765,"style":775},[618,733],[573,3767,3769],{"className":3768},[1244],[573,3770,3772,3798],{"className":3771},[1208,1209],[573,3773,3775,3795],{"className":3774},[1213],[573,3776,3778],{"className":3777,"style":3695},[1217],[573,3779,3780,3783],{"style":3698},[573,3781],{"className":3782,"style":1261},[1225],[573,3784,3786],{"className":3785},[1265,1266,1267,1268],[573,3787,3789,3792],{"className":3788},[618,1268],[573,3790,1750],{"className":3791,"style":1815},[618,733,1268],[573,3793,1750],{"className":3794,"style":1815},[618,733,1268],[573,3796,1330],{"className":3797},[1329],[573,3799,3801],{"className":3800},[1213],[573,3802,3805],{"className":3803,"style":3804},[1217],"height:0.2861em;",[573,3806],{}," und ",[573,3809,3811,3833],{"className":3810},[576],[573,3812,3814],{"className":3813},[580],[582,3815,3816],{"xmlns":584},[586,3817,3818,3830],{},[589,3819,3820],{},[3655,3821,3822,3824],{},[592,3823,755],{},[589,3825,3826,3828],{},[592,3827,717],{},[592,3829,717],{},[597,3831,3832],{"encoding":599},"f_{zz}",[573,3834,3836],{"className":3835,"ariaHidden":605},[604],[573,3837,3839,3842],{"className":3838},[609],[573,3840],{"className":3841,"style":768},[613],[573,3843,3845,3848],{"className":3844},[618],[573,3846,755],{"className":3847,"style":775},[618,733],[573,3849,3851],{"className":3850},[1244],[573,3852,3854,3880],{"className":3853},[1208,1209],[573,3855,3857,3877],{"className":3856},[1213],[573,3858,3860],{"className":3859,"style":3695},[1217],[573,3861,3862,3865],{"style":3698},[573,3863],{"className":3864,"style":1261},[1225],[573,3866,3868],{"className":3867},[1265,1266,1267,1268],[573,3869,3871,3874],{"className":3870},[618,1268],[573,3872,717],{"className":3873,"style":734},[618,733,1268],[573,3875,717],{"className":3876,"style":734},[618,733,1268],[573,3878,1330],{"className":3879},[1329],[573,3881,3883],{"className":3882},[1213],[573,3884,3886],{"className":3885,"style":3721},[1217],[573,3887],{},[3605,3889,3890,3918,3919,3953,3954,3982],{},[573,3891,3893,3906],{"className":3892},[576],[573,3894,3896],{"className":3895},[580],[582,3897,3898],{"xmlns":584},[586,3899,3900,3904],{},[589,3901,3902],{},[592,3903,595],{"mathvariant":594},[597,3905,600],{"encoding":599},[573,3907,3909],{"className":3908,"ariaHidden":605},[604],[573,3910,3912,3915],{"className":3911},[609],[573,3913],{"className":3914,"style":614},[613],[573,3916,595],{"className":3917},[618]," mit dem Differenzzeichen verwechseln, z.B. ",[573,3920,3922,3938],{"className":3921},[576],[573,3923,3925],{"className":3924},[580],[582,3926,3927],{"xmlns":584},[586,3928,3929,3935],{},[589,3930,3931,3933],{},[592,3932,595],{"mathvariant":594},[592,3934,1744],{},[597,3936,3937],{"encoding":599},"\\Delta x",[573,3939,3941],{"className":3940,"ariaHidden":605},[604],[573,3942,3944,3947,3950],{"className":3943},[609],[573,3945],{"className":3946,"style":614},[613],[573,3948,595],{"className":3949},[618],[573,3951,1744],{"className":3952},[618,733]," als Laplace von ",[573,3955,3957,3970],{"className":3956},[576],[573,3958,3960],{"className":3959},[580],[582,3961,3962],{"xmlns":584},[586,3963,3964,3968],{},[589,3965,3966],{},[592,3967,1744],{},[597,3969,1744],{"encoding":599},[573,3971,3973],{"className":3972,"ariaHidden":605},[604],[573,3974,3976,3979],{"className":3975},[609],[573,3977],{"className":3978,"style":729},[613],[573,3980,1744],{"className":3981},[618,733]," lesen. Aus dem Zusammenhang muss klar sein, was gemeint ist.",[3605,3984,3985,3986,4137,4138,4282,4283,4416],{},"In Polarkoordinaten einfach ",[573,3987,3989,4023],{"className":3988},[576],[573,3990,3992],{"className":3991},[580],[582,3993,3994],{"xmlns":584},[586,3995,3996,4020],{},[589,3997,3998,4008,4010],{},[3655,3999,4000,4002],{},[592,4001,755],{},[589,4003,4004,4006],{},[592,4005,1098],{},[592,4007,1098],{},[635,4009,1103],{},[3655,4011,4012,4014],{},[592,4013,755],{},[589,4015,4016,4018],{},[592,4017,1157],{},[592,4019,1157],{},[597,4021,4022],{"encoding":599},"f_{rr} + f_{\\varphi\\varphi}",[573,4024,4026,4087],{"className":4025,"ariaHidden":605},[604],[573,4027,4029,4032,4078,4081,4084],{"className":4028},[609],[573,4030],{"className":4031,"style":768},[613],[573,4033,4035,4038],{"className":4034},[618],[573,4036,755],{"className":4037,"style":775},[618,733],[573,4039,4041],{"className":4040},[1244],[573,4042,4044,4070],{"className":4043},[1208,1209],[573,4045,4047,4067],{"className":4046},[1213],[573,4048,4050],{"className":4049,"style":3695},[1217],[573,4051,4052,4055],{"style":3698},[573,4053],{"className":4054,"style":1261},[1225],[573,4056,4058],{"className":4057},[1265,1266,1267,1268],[573,4059,4061,4064],{"className":4060},[618,1268],[573,4062,1098],{"className":4063,"style":1240},[618,733,1268],[573,4065,1098],{"className":4066,"style":1240},[618,733,1268],[573,4068,1330],{"className":4069},[1329],[573,4071,4073],{"className":4072},[1213],[573,4074,4076],{"className":4075,"style":3721},[1217],[573,4077],{},[573,4079],{"className":4080,"style":685},[664],[573,4082,1103],{"className":4083},[689],[573,4085],{"className":4086,"style":685},[664],[573,4088,4090,4093],{"className":4089},[609],[573,4091],{"className":4092,"style":3759},[613],[573,4094,4096,4099],{"className":4095},[618],[573,4097,755],{"className":4098,"style":775},[618,733],[573,4100,4102],{"className":4101},[1244],[573,4103,4105,4129],{"className":4104},[1208,1209],[573,4106,4108,4126],{"className":4107},[1213],[573,4109,4111],{"className":4110,"style":3695},[1217],[573,4112,4113,4116],{"style":3698},[573,4114],{"className":4115,"style":1261},[1225],[573,4117,4119],{"className":4118},[1265,1266,1267,1268],[573,4120,4122],{"className":4121},[618,1268],[573,4123,4125],{"className":4124},[618,733,1268],"φφ",[573,4127,1330],{"className":4128},[1329],[573,4130,4132],{"className":4131},[1213],[573,4133,4135],{"className":4134,"style":3804},[1217],[573,4136],{}," rechnen. Der Term ",[573,4139,4141,4165],{"className":4140},[576],[573,4142,4144],{"className":4143},[580],[582,4145,4146],{"xmlns":584},[586,4147,4148,4162],{},[589,4149,4150,4156],{},[1075,4151,4152,4154],{},[797,4153,1108],{},[592,4155,1098],{},[3655,4157,4158,4160],{},[592,4159,755],{},[592,4161,1098],{},[597,4163,4164],{"encoding":599},"\\frac{1}{r} f_r",[573,4166,4168],{"className":4167,"ariaHidden":605},[604],[573,4169,4171,4174,4242],{"className":4170},[609],[573,4172],{"className":4173,"style":2143},[613],[573,4175,4177,4180,4239],{"className":4176},[618],[573,4178],{"className":4179},[1200,1201],[573,4181,4183],{"className":4182},[1075],[573,4184,4186,4231],{"className":4185},[1208,1209],[573,4187,4189,4228],{"className":4188},[1213],[573,4190,4192,4206,4214],{"className":4191,"style":2162},[1217],[573,4193,4194,4197],{"style":2165},[573,4195],{"className":4196,"style":1226},[1225],[573,4198,4200],{"className":4199},[1265,1266,1267,1268],[573,4201,4203],{"className":4202},[618,1268],[573,4204,1098],{"className":4205,"style":1240},[618,733,1268],[573,4207,4208,4211],{"style":1274},[573,4209],{"className":4210,"style":1226},[1225],[573,4212],{"className":4213,"style":1282},[1281],[573,4215,4216,4219],{"style":2188},[573,4217],{"className":4218,"style":1226},[1225],[573,4220,4222],{"className":4221},[1265,1266,1267,1268],[573,4223,4225],{"className":4224},[618,1268],[573,4226,1108],{"className":4227},[618,1268],[573,4229,1330],{"className":4230},[1329],[573,4232,4234],{"className":4233},[1213],[573,4235,4237],{"className":4236,"style":2210},[1217],[573,4238],{},[573,4240],{"className":4241},[1343,1201],[573,4243,4245,4248],{"className":4244},[618],[573,4246,755],{"className":4247,"style":775},[618,733],[573,4249,4251],{"className":4250},[1244],[573,4252,4254,4274],{"className":4253},[1208,1209],[573,4255,4257,4271],{"className":4256},[1213],[573,4258,4260],{"className":4259,"style":3695},[1217],[573,4261,4262,4265],{"style":3698},[573,4263],{"className":4264,"style":1261},[1225],[573,4266,4268],{"className":4267},[1265,1266,1267,1268],[573,4269,1098],{"className":4270,"style":1240},[618,733,1268],[573,4272,1330],{"className":4273},[1329],[573,4275,4277],{"className":4276},[1213],[573,4278,4280],{"className":4279,"style":3721},[1217],[573,4281],{}," und der Faktor ",[573,4284,4286,4308],{"className":4285},[576],[573,4287,4289],{"className":4288},[580],[582,4290,4291],{"xmlns":584},[586,4292,4293,4305],{},[589,4294,4295],{},[1075,4296,4297,4299],{},[797,4298,1108],{},[1080,4300,4301,4303],{},[592,4302,1098],{},[797,4304,1087],{},[597,4306,4307],{"encoding":599},"\\frac{1}{r^2}",[573,4309,4311],{"className":4310,"ariaHidden":605},[604],[573,4312,4314,4317],{"className":4313},[609],[573,4315],{"className":4316,"style":2143},[613],[573,4318,4320,4323,4413],{"className":4319},[618],[573,4321],{"className":4322},[1200,1201],[573,4324,4326],{"className":4325},[1075],[573,4327,4329,4405],{"className":4328},[1208,1209],[573,4330,4332,4402],{"className":4331},[1213],[573,4333,4335,4380,4388],{"className":4334,"style":2162},[1217],[573,4336,4337,4340],{"style":2165},[573,4338],{"className":4339,"style":1226},[1225],[573,4341,4343],{"className":4342},[1265,1266,1267,1268],[573,4344,4346],{"className":4345},[618,1268],[573,4347,4349,4352],{"className":4348},[618,1268],[573,4350,1098],{"className":4351,"style":1240},[618,733,1268],[573,4353,4355],{"className":4354},[1244],[573,4356,4358],{"className":4357},[1208],[573,4359,4361],{"className":4360},[1213],[573,4362,4365],{"className":4363,"style":4364},[1217],"height:0.7463em;",[573,4366,4368,4372],{"style":4367},"top:-2.786em;margin-right:0.0714em;",[573,4369],{"className":4370,"style":4371},[1225],"height:2.5em;",[573,4373,4377],{"className":4374},[1265,4375,4376,1268],"reset-size3","size1",[573,4378,1087],{"className":4379},[618,1268],[573,4381,4382,4385],{"style":1274},[573,4383],{"className":4384,"style":1226},[1225],[573,4386],{"className":4387,"style":1282},[1281],[573,4389,4390,4393],{"style":2188},[573,4391],{"className":4392,"style":1226},[1225],[573,4394,4396],{"className":4395},[1265,1266,1267,1268],[573,4397,4399],{"className":4398},[618,1268],[573,4400,1108],{"className":4401},[618,1268],[573,4403,1330],{"className":4404},[1329],[573,4406,4408],{"className":4407},[1213],[573,4409,4411],{"className":4410,"style":2210},[1217],[573,4412],{},[573,4414],{"className":4415},[1343,1201]," fehlen dann.",{"title":4418,"searchDepth":4419,"depth":4419,"links":4420},"",2,[4421,4422,4423],{"id":562,"depth":4419,"text":563},{"id":1719,"depth":4419,"text":1720},{"id":3599,"depth":4419,"text":3600},[4425,4427,4429,4431,4433,4435],{"lhs":4426,"rhs":1995},"2 + 2 + 2",{"lhs":4428,"rhs":2542},"sqrt(1^2 + 2^2 + 2^2)",{"lhs":4430,"rhs":799},"round((1\u002Fsqrt(1.001^2 + 4 + 4) - 2\u002F3 + 1\u002Fsqrt(0.999^2 + 4 + 4) + 1\u002Fsqrt(1 + 2.001^2 + 4) - 2\u002F3 + 1\u002Fsqrt(1 + 1.999^2 + 4) + 1\u002Fsqrt(1 + 4 + 2.001^2) - 2\u002F3 + 1\u002Fsqrt(1 + 4 + 1.999^2)) \u002F 0.001^2, 4)",{"lhs":4432,"rhs":799},"2 + (-2)",{"lhs":4434,"rhs":799},"round((exp(x + 1e-4)*sin(y) - 2*exp(x)*sin(y) + exp(x - 1e-4)*sin(y) + exp(x)*sin(y + 1e-4) - 2*exp(x)*sin(y) + exp(x)*sin(y - 1e-4)) \u002F 1e-8, 4)",{"lhs":4436,"rhs":3419},"2 + 1\u002Fr * 2*r + 0","f\\colon D \\subseteq \\mathbb{R}^3 \\to \\mathbb{R} \\text{ zweimal 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>\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>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo>→\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f\\colon D \\subseteq \\mathbb{R}^3 \\to \\mathbb{R}\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 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:0.8141em;\">\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:0.8141em;\">\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\">3\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:0.6889em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">zweimal partiell differenzierbar\u003C\u002Fspan>",null,"md","laplace-operator","\\Delta f = \\operatorname{div}(\\nabla f) = \\frac{\\partial^2 f}{\\partial x^2} + \\frac{\\partial^2 f}{\\partial y^2} + \\frac{\\partial^2 f}{\\partial z^2}","\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>\u003Cmi mathvariant=\"normal\">Δ\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">div\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">∇\u003C\u002Fmi>\u003Cmi>f\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmsup>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmsup>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsup>\u003Cmi>y\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmsup>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsup>\u003Cmi>z\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\Delta f = \\operatorname{div}(\\nabla f) = \\frac{\\partial^2 f}{\\partial x^2} + \\frac{\\partial^2 f}{\\partial y^2} + \\frac{\\partial^2 f}{\\partial z^2}\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\">Δ\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 class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">\u003Cspan class=\"mord mathrm\" style=\"margin-right:0.0139em;\">div\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">∇\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\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:2.1771em;vertical-align:-0.686em;\">\u003C\u002Fspan>\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:1.4911em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;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\">2\u003C\u002Fspan>\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\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\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" 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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.3715em;vertical-align:-0.8804em;\">\u003C\u002Fspan>\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:1.4911em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">y\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;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\">2\u003C\u002Fspan>\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\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\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" 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:0.8804em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.1771em;vertical-align:-0.686em;\">\u003C\u002Fspan>\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:1.4911em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.044em;\">z\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7401em;\">\u003Cspan style=\"top:-2.989em;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\">2\u003C\u002Fspan>\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:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\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\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" 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:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fmultivariable-calculus\u002Flaplace-operator",[],[4450,4451,4452,4453],"divergence","gradient","hessian-matrix","partial-derivative",{"title":548,"description":4418},"de\u002Fformulas\u002Fmath\u002Fmultivariable-calculus\u002Flaplace-operator","Der Laplace-Operator summiert die reinen zweiten partiellen Ableitungen; er ist die Divergenz des Gradienten.",[4441,4458,4459,4460,4461],"harmonische funktion","zweite ableitung","vektoranalysis","potentialgleichung",[4463,4466,4469],{"symbol":600,"meaning":4464,"symbolHtml":4465},"Laplace-Operator, auch als nabla² geschrieben","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi mathvariant=\"normal\">Δ\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\Delta\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Δ\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":755,"meaning":4467,"symbolHtml":4468},"Skalarfeld, z.B. 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmfrac>\u003Cmrow>\u003Cmsup>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∂\u003C\u002Fmi>\u003Cmsup>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\frac{\\partial^2 f}{\\partial x^2}\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:1.415em;vertical-align:-0.345em;\">\u003C\u002Fspan>\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:1.07em;\">\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\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7463em;\">\u003Cspan style=\"top:-2.786em;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\">2\u003C\u002Fspan>\u003C\u002Fspan>\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\">\u003Cspan class=\"mord mtight\" style=\"margin-right:0.0556em;\">∂\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8913em;\">\u003Cspan style=\"top:-2.931em;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\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.1076em;\">f\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:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose 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