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x_i}",[568,2002,2004,2068,2252],{"className":2003,"ariaHidden":607},[606],[568,2005,2007,2010,2013,2016,2056,2059,2062,2065],{"className":2006},[611],[568,2008],{"className":2009,"style":701},[615],[568,2011,675],{"className":2012,"style":773},[620,621],[568,2014,1639],{"className":2015},[705],[568,2017,2019,2022],{"className":2018},[620],[568,2020,666],{"className":2021},[620,621],[568,2023,2025],{"className":2024},[715],[568,2026,2028,2048],{"className":2027},[719,720],[568,2029,2031,2045],{"className":2030},[724],[568,2032,2034],{"className":2033,"style":729},[728],[568,2035,2036,2039],{"style":732},[568,2037],{"className":2038,"style":737},[736],[568,2040,2042],{"className":2041},[741,742,743,744],[568,2043,669],{"className":2044},[620,621,744],[568,2046,752],{"className":2047},[751],[568,2049,2051],{"className":2050},[724],[568,2052,2054],{"className":2053,"style":759},[728],[568,2055],{},[568,2057,1660],{"className":2058},[820],[568,2060],{"className":2061,"style":1031},[625],[568,2063,885],{"className":2064},[1035],[568,2066],{"className":2067,"style":1031},[625],[568,2069,2071,2075,2078,2081,2121,2124,2127,2131,2134,2137,2140,2180,2183,2186,2189,2192,2195,2198,2240,2243,2246,2249],{"className":2070},[611],[568,2072],{"className":2073,"style":2074},[615],"height:1.0361em;vertical-align:-0.2861em;",[568,2076,675],{"className":2077,"style":773},[620,621],[568,2079,660],{"className":2080},[705],[568,2082,2084,2087],{"className":2083},[620],[568,2085,666],{"className":2086},[620,621],[568,2088,2090],{"className":2089},[715],[568,2091,2093,2113],{"className":2092},[719,720],[568,2094,2096,2110],{"className":2095},[724],[568,2097,2099],{"className":2098,"style":729},[728],[568,2100,2101,2104],{"style":732},[568,2102],{"className":2103,"style":737},[736],[568,2105,2107],{"className":2106},[741,742,743,744],[568,2108,669],{"className":2109},[620,621,744],[568,2111,752],{"className":2112},[751],[568,2114,2116],{"className":2115},[724],[568,2117,2119],{"className":2118,"style":759},[728],[568,2120],{},[568,2122,686],{"className":2123},[820],[568,2125,672],{"className":2126},[765],[568,2128],{"className":2129,"style":2130},[625],"margin-right:2em;",[568,2132],{"className":2133,"style":769},[625],[568,2135,675],{"className":2136,"style":773},[620,621],[568,2138,1639],{"className":2139},[705],[568,2141,2143,2146],{"className":2142},[620],[568,2144,666],{"className":2145},[620,621],[568,2147,2149],{"className":2148},[715],[568,2150,2152,2172],{"className":2151},[719,720],[568,2153,2155,2169],{"className":2154},[724],[568,2156,2158],{"className":2157,"style":729},[728],[568,2159,2160,2163],{"style":732},[568,2161],{"className":2162,"style":737},[736],[568,2164,2166],{"className":2165},[741,742,743,744],[568,2167,669],{"className":2168},[620,621,744],[568,2170,752],{"className":2171},[751],[568,2173,2175],{"className":2174},[724],[568,2176,2178],{"className":2177,"style":759},[728],[568,2179],{},[568,2181,672],{"className":2182},[765],[568,2184],{"className":2185,"style":769},[625],[568,2187,958],{"className":2188},[1407],[568,2190],{"className":2191,"style":769},[625],[568,2193,672],{"className":2194},[765],[568,2196],{"className":2197,"style":769},[625],[568,2199,2201,2204],{"className":2200},[620],[568,2202,666],{"className":2203},[620,621],[568,2205,2207],{"className":2206},[715],[568,2208,2210,2231],{"className":2209},[719,720],[568,2211,2213,2228],{"className":2212},[724],[568,2214,2216],{"className":2215,"style":729},[728],[568,2217,2218,2221],{"style":732},[568,2219],{"className":2220,"style":737},[736],[568,2222,2224],{"className":2223},[741,742,743,744],[568,2225,1910],{"className":2226,"style":2227},[620,621,744],"margin-right:0.0572em;",[568,2229,752],{"className":2230},[751],[568,2232,2234],{"className":2233},[724],[568,2235,2238],{"className":2236,"style":2237},[728],"height:0.2861em;",[568,2239],{},[568,2241,1660],{"className":2242},[820],[568,2244],{"className":2245,"style":1031},[625],[568,2247,885],{"className":2248},[1035],[568,2250],{"className":2251,"style":1031},[625],[568,2253,2255,2259],{"className":2254},[611],[568,2256],{"className":2257,"style":2258},[615],"height:2.3991em;vertical-align:-0.9721em;",[568,2260,2262,2266,2651],{"className":2261},[620],[568,2263],{"className":2264},[705,2265],"nulldelimiter",[568,2267,2269],{"className":2268},[1916],[568,2270,2272,2642],{"className":2271},[719,720],[568,2273,2275,2639],{"className":2274},[724],[568,2276,2279,2378,2389],{"className":2277,"style":2278},[728],"height:1.427em;",[568,2280,2282,2286],{"style":2281},"top:-2.314em;",[568,2283],{"className":2284,"style":2285},[736],"height:3em;",[568,2287,2289,2329,2332,2335,2338],{"className":2288},[620],[568,2290,2292,2295],{"className":2291},[620],[568,2293,666],{"className":2294},[620,621],[568,2296,2298],{"className":2297},[715],[568,2299,2301,2321],{"className":2300},[719,720],[568,2302,2304,2318],{"className":2303},[724],[568,2305,2307],{"className":2306,"style":729},[728],[568,2308,2309,2312],{"style":732},[568,2310],{"className":2311,"style":737},[736],[568,2313,2315],{"className":2314},[741,742,743,744],[568,2316,1910],{"className":2317,"style":2227},[620,621,744],[568,2319,752],{"className":2320},[751],[568,2322,2324],{"className":2323},[724],[568,2325,2327],{"className":2326,"style":2237},[728],[568,2328],{},[568,2330],{"className":2331,"style":626},[625],[568,2333,908],{"className":2334},[630],[568,2336],{"className":2337,"style":626},[625],[568,2339,2341,2344],{"className":2340},[620],[568,2342,666],{"className":2343},[620,621],[568,2345,2347],{"className":2346},[715],[568,2348,2350,2370],{"className":2349},[719,720],[568,2351,2353,2367],{"className":2352},[724],[568,2354,2356],{"className":2355,"style":729},[728],[568,2357,2358,2361],{"style":732},[568,2359],{"className":2360,"style":737},[736],[568,2362,2364],{"className":2363},[741,742,743,744],[568,2365,669],{"className":2366},[620,621,744],[568,2368,752],{"className":2369},[751],[568,2371,2373],{"className":2372},[724],[568,2374,2376],{"className":2375,"style":759},[728],[568,2377],{},[568,2379,2381,2384],{"style":2380},"top:-3.23em;",[568,2382],{"className":2383,"style":2285},[736],[568,2385],{"className":2386,"style":2388},[2387],"frac-line","border-bottom-width:0.04em;",[568,2390,2392,2395],{"style":2391},"top:-3.677em;",[568,2393],{"className":2394,"style":2285},[736],[568,2396,2398,2401,2404,2453,2456,2459,2462,2465,2468,2471,2511,2514,2517,2520,2523,2526,2529,2569,2572,2575,2578,2581,2584,2587,2636],{"className":2397},[620],[568,2399,675],{"className":2400,"style":773},[620,621],[568,2402,1639],{"className":2403},[705],[568,2405,2407,2410],{"className":2406},[620],[568,2408,666],{"className":2409},[620,621],[568,2411,2413],{"className":2412},[715],[568,2414,2416,2445],{"className":2415},[719,720],[568,2417,2419,2442],{"className":2418},[724],[568,2420,2422],{"className":2421,"style":729},[728],[568,2423,2424,2427],{"style":732},[568,2425],{"className":2426,"style":737},[736],[568,2428,2430],{"className":2429},[741,742,743,744],[568,2431,2433,2436,2439],{"className":2432},[620,744],[568,2434,669],{"className":2435},[620,621,744],[568,2437,593],{"className":2438},[630,744],[568,2440,597],{"className":2441},[620,744],[568,2443,752],{"className":2444},[751],[568,2446,2448],{"className":2447},[724],[568,2449,2451],{"className":2450,"style":1605},[728],[568,2452],{},[568,2454,672],{"className":2455},[765],[568,2457],{"className":2458,"style":769},[625],[568,2460,958],{"className":2461},[1407],[568,2463],{"className":2464,"style":769},[625],[568,2466,672],{"className":2467},[765],[568,2469],{"className":2470,"style":769},[625],[568,2472,2474,2477],{"className":2473},[620],[568,2475,666],{"className":2476},[620,621],[568,2478,2480],{"className":2479},[715],[568,2481,2483,2503],{"className":2482},[719,720],[568,2484,2486,2500],{"className":2485},[724],[568,2487,2489],{"className":2488,"style":729},[728],[568,2490,2491,2494],{"style":732},[568,2492],{"className":2493,"style":737},[736],[568,2495,2497],{"className":2496},[741,742,743,744],[568,2498,1910],{"className":2499,"style":2227},[620,621,744],[568,2501,752],{"className":2502},[751],[568,2504,2506],{"className":2505},[724],[568,2507,2509],{"className":2508,"style":2237},[728],[568,2510],{},[568,2512,1660],{"className":2513},[820],[568,2515],{"className":2516,"style":626},[625],[568,2518,908],{"className":2519},[630],[568,2521],{"className":2522,"style":626},[625],[568,2524,675],{"className":2525,"style":773},[620,621],[568,2527,1639],{"className":2528},[705],[568,2530,2532,2535],{"className":2531},[620],[568,2533,666],{"className":2534},[620,621],[568,2536,2538],{"className":2537},[715],[568,2539,2541,2561],{"className":2540},[719,720],[568,2542,2544,2558],{"className":2543},[724],[568,2545,2547],{"className":2546,"style":729},[728],[568,2548,2549,2552],{"style":732},[568,2550],{"className":2551,"style":737},[736],[568,2553,2555],{"className":2554},[741,742,743,744],[568,2556,669],{"className":2557},[620,621,744],[568,2559,752],{"className":2560},[751],[568,2562,2564],{"className":2563},[724],[568,2565,2567],{"className":2566,"style":759},[728],[568,2568],{},[568,2570,672],{"className":2571},[765],[568,2573],{"className":2574,"style":769},[625],[568,2576,958],{"className":2577},[1407],[568,2579],{"className":2580,"style":769},[625],[568,2582,672],{"className":2583},[765],[568,2585],{"className":2586,"style":769},[625],[568,2588,2590,2593],{"className":2589},[620],[568,2591,666],{"className":2592},[620,621],[568,2594,2596],{"className":2595},[715],[568,2597,2599,2628],{"className":2598},[719,720],[568,2600,2602,2625],{"className":2601},[724],[568,2603,2605],{"className":2604,"style":729},[728],[568,2606,2607,2610],{"style":732},[568,2608],{"className":2609,"style":737},[736],[568,2611,2613],{"className":2612},[741,742,743,744],[568,2614,2616,2619,2622],{"className":2615},[620,744],[568,2617,1910],{"className":2618,"style":2227},[620,621,744],[568,2620,908],{"className":2621},[630,744],[568,2623,597],{"className":2624},[620,744],[568,2626,752],{"className":2627},[751],[568,2629,2631],{"className":2630},[724],[568,2632,2634],{"className":2633,"style":2237},[728],[568,2635],{},[568,2637,1660],{"className":2638},[820],[568,2640,752],{"className":2641},[751],[568,2643,2645],{"className":2644},[724],[568,2646,2649],{"className":2647,"style":2648},[728],"height:0.9721em;",[568,2650],{},[568,2652],{"className":2653},[820,2265],[564,2655,2656,2657,2659],{},"Man berechnet sie in einem dreieckigen ",[854,2658,553],{},"; die Koeffizienten stehen auf der oberen Schräge.",[564,2661,2662],{},"Vorteile gegenüber der Lagrange-Form:",[2664,2665,2666,2670],"ul",{},[2667,2668,2669],"li",{},"Kommt eine Stützstelle hinzu, bleiben alle bisherigen Koeffizienten gleich. Man ergänzt nur eine Zeile im Schema und ein Glied im Polynom.",[2667,2671,2672],{},"Ausgewertet wird effizient mit einem Horner-artigen Schema von innen nach außen.",[564,2674,2675],{},"Es entsteht dasselbe Polynom wie bei Lagrange, nur anders dargestellt.",[559,2677,2679],{"id":2678},"beispiele","Beispiele",[564,2681,2682,2683,2735,2736,2735,2789,2841],{},"Gegeben sind ",[568,2684,2686,2708],{"className":2685},[571],[568,2687,2689],{"className":2688},[575],[577,2690,2691],{"xmlns":579},[581,2692,2693,2705],{},[584,2694,2695,2697,2699,2701,2703],{},[591,2696,660],{"stretchy":659},[595,2698,893],{},[591,2700,672],{"separator":607},[595,2702,597],{},[591,2704,686],{"stretchy":659},[599,2706,2707],{"encoding":601},"(0, 1)",[568,2709,2711],{"className":2710,"ariaHidden":607},[606],[568,2712,2714,2717,2720,2723,2726,2729,2732],{"className":2713},[611],[568,2715],{"className":2716,"style":701},[615],[568,2718,660],{"className":2719},[705],[568,2721,893],{"className":2722},[620],[568,2724,672],{"className":2725},[765],[568,2727],{"className":2728,"style":769},[625],[568,2730,597],{"className":2731},[620],[568,2733,686],{"className":2734},[820],", ",[568,2737,2739,2762],{"className":2738},[571],[568,2740,2742],{"className":2741},[575],[577,2743,2744],{"xmlns":579},[581,2745,2746,2759],{},[584,2747,2748,2750,2752,2754,2757],{},[591,2749,660],{"stretchy":659},[595,2751,597],{},[591,2753,672],{"separator":607},[595,2755,2756],{},"3",[591,2758,686],{"stretchy":659},[599,2760,2761],{"encoding":601},"(1, 3)",[568,2763,2765],{"className":2764,"ariaHidden":607},[606],[568,2766,2768,2771,2774,2777,2780,2783,2786],{"className":2767},[611],[568,2769],{"className":2770,"style":701},[615],[568,2772,660],{"className":2773},[705],[568,2775,597],{"className":2776},[620],[568,2778,672],{"className":2779},[765],[568,2781],{"className":2782,"style":769},[625],[568,2784,2756],{"className":2785},[620],[568,2787,686],{"className":2788},[820],[568,2790,2792,2814],{"className":2791},[571],[568,2793,2795],{"className":2794},[575],[577,2796,2797],{"xmlns":579},[581,2798,2799,2811],{},[584,2800,2801,2803,2805,2807,2809],{},[591,2802,660],{"stretchy":659},[595,2804,2756],{},[591,2806,672],{"separator":607},[595,2808,925],{},[591,2810,686],{"stretchy":659},[599,2812,2813],{"encoding":601},"(3, 2)",[568,2815,2817],{"className":2816,"ariaHidden":607},[606],[568,2818,2820,2823,2826,2829,2832,2835,2838],{"className":2819},[611],[568,2821],{"className":2822,"style":701},[615],[568,2824,660],{"className":2825},[705],[568,2827,2756],{"className":2828},[620],[568,2830,672],{"className":2831},[765],[568,2833],{"className":2834,"style":769},[625],[568,2836,925],{"className":2837},[620],[568,2839,686],{"className":2840},[820],". Das Differenzenschema:",[2843,2844,2845,3017],"table",{},[2846,2847,2848],"thead",{},[2849,2850,2851,2924,3011,3014],"tr",{},[2852,2853,2854],"th",{},[568,2855,2857,2875],{"className":2856},[571],[568,2858,2860],{"className":2859},[575],[577,2861,2862],{"xmlns":579},[581,2863,2864,2872],{},[584,2865,2866],{},[662,2867,2868,2870],{},[587,2869,666],{},[587,2871,669],{},[599,2873,2874],{"encoding":601},"x_i",[568,2876,2878],{"className":2877,"ariaHidden":607},[606],[568,2879,2881,2884],{"className":2880},[611],[568,2882],{"className":2883,"style":1673},[615],[568,2885,2887,2890],{"className":2886},[620],[568,2888,666],{"className":2889},[620,621],[568,2891,2893],{"className":2892},[715],[568,2894,2896,2916],{"className":2895},[719,720],[568,2897,2899,2913],{"className":2898},[724],[568,2900,2902],{"className":2901,"style":729},[728],[568,2903,2904,2907],{"style":732},[568,2905],{"className":2906,"style":737},[736],[568,2908,2910],{"className":2909},[741,742,743,744],[568,2911,669],{"className":2912},[620,621,744],[568,2914,752],{"className":2915},[751],[568,2917,2919],{"className":2918},[724],[568,2920,2922],{"className":2921,"style":759},[728],[568,2923],{},[2852,2925,2926],{},[568,2927,2929,2953],{"className":2928},[571],[568,2930,2932],{"className":2931},[575],[577,2933,2934],{"xmlns":579},[581,2935,2936,2950],{},[584,2937,2938,2940,2942,2948],{},[587,2939,675],{},[591,2941,1639],{"stretchy":659},[662,2943,2944,2946],{},[587,2945,666],{},[587,2947,669],{},[591,2949,1660],{"stretchy":659},[599,2951,2952],{"encoding":601},"f[x_i]",[568,2954,2956],{"className":2955,"ariaHidden":607},[606],[568,2957,2959,2962,2965,2968,3008],{"className":2958},[611],[568,2960],{"className":2961,"style":701},[615],[568,2963,675],{"className":2964,"style":773},[620,621],[568,2966,1639],{"className":2967},[705],[568,2969,2971,2974],{"className":2970},[620],[568,2972,666],{"className":2973},[620,621],[568,2975,2977],{"className":2976},[715],[568,2978,2980,3000],{"className":2979},[719,720],[568,2981,2983,2997],{"className":2982},[724],[568,2984,2986],{"className":2985,"style":729},[728],[568,2987,2988,2991],{"style":732},[568,2989],{"className":2990,"style":737},[736],[568,2992,2994],{"className":2993},[741,742,743,744],[568,2995,669],{"className":2996},[620,621,744],[568,2998,752],{"className":2999},[751],[568,3001,3003],{"className":3002},[724],[568,3004,3006],{"className":3005,"style":759},[728],[568,3007],{},[568,3009,1660],{"className":3010},[820],[2852,3012,3013],{},"1. Ordnung",[2852,3015,3016],{},"2. 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3}{3 - 1} = -0{,}5",[568,3488,3490,3585],{"className":3489,"ariaHidden":607},[606],[568,3491,3493,3496,3576,3579,3582],{"className":3492},[611],[568,3494],{"className":3495,"style":3085},[615],[568,3497,3499,3502,3573],{"className":3498},[620],[568,3500],{"className":3501},[705,2265],[568,3503,3505],{"className":3504},[1916],[568,3506,3508,3565],{"className":3507},[719,720],[568,3509,3511,3562],{"className":3510},[724],[568,3512,3514,3534,3542],{"className":3513,"style":3104},[728],[568,3515,3516,3519],{"style":3107},[568,3517],{"className":3518,"style":2285},[736],[568,3520,3522],{"className":3521},[741,742,743,744],[568,3523,3525,3528,3531],{"className":3524},[620,744],[568,3526,2756],{"className":3527},[620,744],[568,3529,908],{"className":3530},[630,744],[568,3532,597],{"className":3533},[620,744],[568,3535,3536,3539],{"style":2380},[568,3537],{"className":3538,"style":2285},[736],[568,3540],{"className":3541,"style":2388},[2387],[568,3543,3544,3547],{"style":3136},[568,3545],{"className":3546,"style":2285},[736],[568,3548,3550],{"className":3549},[741,742,743,744],[568,3551,3553,3556,3559],{"className":3552},[620,744],[568,3554,925],{"className":3555},[620,744],[568,3557,908],{"className":3558},[630,744],[568,3560,2756],{"className":3561},[620,744],[568,3563,752],{"className":3564},[751],[568,3566,3568],{"className":3567},[724],[568,3569,3571],{"className":3570,"style":3164},[728],[568,3572],{},[568,3574],{"className":3575},[820,2265],[568,3577],{"className":3578,"style":1031},[625],[568,3580,885],{"className":3581},[1035],[568,3583],{"className":3584,"style":1031},[625],[568,3586,3588,3592,3595,3598,3604],{"className":3587},[611],[568,3589],{"className":3590,"style":3591},[615],"height:0.8389em;vertical-align:-0.1944em;",[568,3593,908],{"className":3594},[620],[568,3596,893],{"className":3597},[620],[568,3599,3601],{"className":3600},[620],[568,3602,672],{"className":3603},[765],[568,3605,3241],{"className":3606},[620],[3023,3608],{},[2849,3610,3611,3613,3615,3617],{},[3023,3612,2756],{},[3023,3614,925],{},[3023,3616],{},[3023,3618],{},[564,3620,3621],{},"Damit ist",[568,3623,3625],{"className":3624},[861],[568,3626,3628,3684],{"className":3627},[571],[568,3629,3631],{"className":3630},[575],[577,3632,3633],{"xmlns":579,"display":870},[581,3634,3635,3681],{},[584,3636,3637,3639,3641,3643,3645,3647,3649,3651,3653,3655,3657,3663,3667,3669,3671,3673,3675,3677,3679],{},[587,3638,564],{},[591,3640,660],{"stretchy":659},[587,3642,666],{},[591,3644,686],{"stretchy":659},[591,3646,885],{},[595,3648,597],{},[591,3650,593],{},[595,3652,925],{},[587,3654,666],{},[591,3656,908],{},[1916,3658,3659,3661],{},[595,3660,3241],{},[595,3662,3244],{},[3664,3665,3666],"mtext",{}," ",[587,3668,666],{},[3664,3670,3666],{},[591,3672,660],{"stretchy":659},[587,3674,666],{},[591,3676,908],{},[595,3678,597],{},[591,3680,686],{"stretchy":659},[599,3682,3683],{"encoding":601},"p(x) = 1 + 2x - 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5 = 2",[568,3904,3906,3933,3951,3969,3987],{"className":3905,"ariaHidden":607},[606],[568,3907,3909,3912,3915,3918,3921,3924,3927,3930],{"className":3908},[611],[568,3910],{"className":3911,"style":701},[615],[568,3913,564],{"className":3914},[620,621],[568,3916,660],{"className":3917},[705],[568,3919,2756],{"className":3920},[620],[568,3922,686],{"className":3923},[820],[568,3925],{"className":3926,"style":1031},[625],[568,3928,885],{"className":3929},[1035],[568,3931],{"className":3932,"style":1031},[625],[568,3934,3936,3939,3942,3945,3948],{"className":3935},[611],[568,3937],{"className":3938,"style":3720},[615],[568,3940,597],{"className":3941},[620],[568,3943],{"className":3944,"style":626},[625],[568,3946,593],{"className":3947},[630],[568,3949],{"className":3950,"style":626},[625],[568,3952,3954,3957,3960,3963,3966],{"className":3953},[611],[568,3955],{"className":3956,"style":3720},[615],[568,3958,3244],{"className":3959},[620],[568,3961],{"className":3962,"style":626},[625],[568,3964,908],{"className":3965},[630],[568,3967],{"className":3968,"style":626},[625],[568,3970,3972,3975,3978,3981,3984],{"className":3971},[611],[568,3973],{"className":3974,"style":640},[615],[568,3976,3241],{"className":3977},[620],[568,3979],{"className":3980,"style":1031},[625],[568,3982,885],{"className":3983},[1035],[568,3985],{"className":3986,"style":1031},[625],[568,3988,3990,3993],{"className":3989},[611],[568,3991],{"className":3992,"style":640},[615],[568,3994,925],{"className":3995},[620],". Für ",[568,3998,4000,4018],{"className":3999},[571],[568,4001,4003],{"className":4002},[575],[577,4004,4005],{"xmlns":579},[581,4006,4007,4015],{},[584,4008,4009,4011,4013],{},[587,4010,666],{},[591,4012,885],{},[595,4014,925],{},[599,4016,4017],{"encoding":601},"x = 2",[568,4019,4021,4039],{"className":4020,"ariaHidden":607},[606],[568,4022,4024,4027,4030,4033,4036],{"className":4023},[611],[568,4025],{"className":4026,"style":848},[615],[568,4028,666],{"className":4029},[620,621],[568,4031],{"className":4032,"style":1031},[625],[568,4034,885],{"className":4035},[1035],[568,4037],{"className":4038,"style":1031},[625],[568,4040,4042,4045],{"className":4041},[611],[568,4043],{"className":4044,"style":640},[615],[568,4046,925],{"className":4047},[620]," ergibt sich ",[568,4050,4052,4099],{"className":4051},[571],[568,4053,4055],{"className":4054},[575],[577,4056,4057],{"xmlns":579},[581,4058,4059,4096],{},[584,4060,4061,4063,4065,4067,4069,4071,4073,4075,4081,4083,4090,4093],{},[587,4062,564],{},[591,4064,660],{"stretchy":659},[595,4066,925],{},[591,4068,686],{"stretchy":659},[591,4070,885],{},[595,4072,3241],{},[591,4074,908],{},[1916,4076,4077,4079],{},[595,4078,3241],{},[595,4080,2756],{},[591,4082,885],{},[1916,4084,4085,4088],{},[595,4086,4087],{},"10",[595,4089,2756],{},[591,4091,4092],{},"≈",[595,4094,4095],{},"3,3333",[599,4097,4098],{"encoding":601},"p(2) = 5 - \\frac{5}{3} = \\frac{10}{3} \\approx 3{,}3333",[568,4100,4102,4129,4147,4230,4313],{"className":4101,"ariaHidden":607},[606],[568,4103,4105,4108,4111,4114,4117,4120,4123,4126],{"className":4104},[611],[568,4106],{"className":4107,"style":701},[615],[568,4109,564],{"className":4110},[620,621],[568,4112,660],{"className":4113},[705],[568,4115,925],{"className":4116},[620],[568,4118,686],{"className":4119},[820],[568,4121],{"className":4122,"style":1031},[625],[568,4124,885],{"className":4125},[1035],[568,4127],{"className":4128,"style":1031},[625],[568,4130,4132,4135,4138,4141,4144],{"className":4131},[611],[568,4133],{"className":4134,"style":3720},[615],[568,4136,3241],{"className":4137},[620],[568,4139],{"className":4140,"style":626},[625],[568,4142,908],{"className":4143},[630],[568,4145],{"className":4146,"style":626},[625],[568,4148,4150,4153,4221,4224,4227],{"className":4149},[611],[568,4151],{"className":4152,"style":3367},[615],[568,4154,4156,4159,4218],{"className":4155},[620],[568,4157],{"className":4158},[705,2265],[568,4160,4162],{"className":4161},[1916],[568,4163,4165,4210],{"className":4164},[719,720],[568,4166,4168,4207],{"className":4167},[724],[568,4169,4171,4185,4193],{"className":4170,"style":3104},[728],[568,4172,4173,4176],{"style":3107},[568,4174],{"className":4175,"style":2285},[736],[568,4177,4179],{"className":4178},[741,742,743,744],[568,4180,4182],{"className":4181},[620,744],[568,4183,2756],{"className":4184},[620,744],[568,4186,4187,4190],{"style":2380},[568,4188],{"className":4189,"style":2285},[736],[568,4191],{"className":4192,"style":2388},[2387],[568,4194,4195,4198],{"style":3136},[568,4196],{"className":4197,"style":2285},[736],[568,4199,4201],{"className":4200},[741,742,743,744],[568,4202,4204],{"className":4203},[620,744],[568,4205,3241],{"className":4206},[620,744],[568,4208,752],{"className":4209},[751],[568,4211,4213],{"className":4212},[724],[568,4214,4216],{"className":4215,"style":3434},[728],[568,4217],{},[568,4219],{"className":4220},[820,2265],[568,4222],{"className":4223,"style":1031},[625],[568,4225,885],{"className":4226},[1035],[568,4228],{"className":4229,"style":1031},[625],[568,4231,4233,4236,4304,4307,4310],{"className":4232},[611],[568,4234],{"className":4235,"style":3367},[615],[568,4237,4239,4242,4301],{"className":4238},[620],[568,4240],{"className":4241},[705,2265],[568,4243,4245],{"className":4244},[1916],[568,4246,4248,4293],{"className":4247},[719,720],[568,4249,4251,4290],{"className":4250},[724],[568,4252,4254,4268,4276],{"className":4253,"style":3104},[728],[568,4255,4256,4259],{"style":3107},[568,4257],{"className":4258,"style":2285},[736],[568,4260,4262],{"className":4261},[741,742,743,744],[568,4263,4265],{"className":4264},[620,744],[568,4266,2756],{"className":4267},[620,744],[568,4269,4270,4273],{"style":2380},[568,4271],{"className":4272,"style":2285},[736],[568,4274],{"className":4275,"style":2388},[2387],[568,4277,4278,4281],{"style":3136},[568,4279],{"className":4280,"style":2285},[736],[568,4282,4284],{"className":4283},[741,742,743,744],[568,4285,4287],{"className":4286},[620,744],[568,4288,4087],{"className":4289},[620,744],[568,4291,752],{"className":4292},[751],[568,4294,4296],{"className":4295},[724],[568,4297,4299],{"className":4298,"style":3434},[728],[568,4300],{},[568,4302],{"className":4303},[820,2265],[568,4305],{"className":4306,"style":1031},[625],[568,4308,4092],{"className":4309},[1035],[568,4311],{"className":4312,"style":1031},[625],[568,4314,4316,4319,4322,4328],{"className":4315},[611],[568,4317],{"className":4318,"style":3591},[615],[568,4320,2756],{"className":4321},[620],[568,4323,4325],{"className":4324},[620],[568,4326,672],{"className":4327},[765],[568,4329,4331],{"className":4330},[620],"3333",".",[564,4334,4335,4336,4389,4390,2735,4556,4785,4786,5160],{},"Kommt der Punkt ",[568,4337,4339,4362],{"className":4338},[571],[568,4340,4342],{"className":4341},[575],[577,4343,4344],{"xmlns":579},[581,4345,4346,4359],{},[584,4347,4348,4350,4353,4355,4357],{},[591,4349,660],{"stretchy":659},[595,4351,4352],{},"4",[591,4354,672],{"separator":607},[595,4356,893],{},[591,4358,686],{"stretchy":659},[599,4360,4361],{"encoding":601},"(4, 0)",[568,4363,4365],{"className":4364,"ariaHidden":607},[606],[568,4366,4368,4371,4374,4377,4380,4383,4386],{"className":4367},[611],[568,4369],{"className":4370,"style":701},[615],[568,4372,660],{"className":4373},[705],[568,4375,4352],{"className":4376},[620],[568,4378,672],{"className":4379},[765],[568,4381],{"className":4382,"style":769},[625],[568,4384,893],{"className":4385},[620],[568,4387,686],{"className":4388},[820]," hinzu, berechnet man nur die neue Schräge: ",[568,4391,4393,4431],{"className":4392},[571],[568,4394,4396],{"className":4395},[575],[577,4397,4398],{"xmlns":579},[581,4399,4400,4428],{},[584,4401,4402,4404,4406,4412,4414,4420,4422,4424,4426],{},[587,4403,675],{},[591,4405,1639],{"stretchy":659},[662,4407,4408,4410],{},[587,4409,666],{},[595,4411,925],{},[591,4413,672],{"separator":607},[662,4415,4416,4418],{},[587,4417,666],{},[595,4419,2756],{},[591,4421,1660],{"stretchy":659},[591,4423,885],{},[591,4425,908],{},[595,4427,925],{},[599,4429,4430],{"encoding":601},"f[x_2, x_3] = -2",[568,4432,4434,4544],{"className":4433,"ariaHidden":607},[606],[568,4435,4437,4440,4443,4446,4486,4489,4492,4532,4535,4538,4541],{"className":4436},[611],[568,4438],{"className":4439,"style":701},[615],[568,4441,675],{"className":4442,"style":773},[620,621],[568,4444,1639],{"className":4445},[705],[568,4447,4449,4452],{"className":4448},[620],[568,4450,666],{"className":4451},[620,621],[568,4453,4455],{"className":4454},[715],[568,4456,4458,4478],{"className":4457},[719,720],[568,4459,4461,4475],{"className":4460},[724],[568,4462,4464],{"className":4463,"style":1064},[728],[568,4465,4466,4469],{"style":732},[568,4467],{"className":4468,"style":737},[736],[568,4470,4472],{"className":4471},[741,742,743,744],[568,4473,925],{"className":4474},[620,744],[568,4476,752],{"className":4477},[751],[568,4479,4481],{"className":4480},[724],[568,4482,4484],{"className":4483,"style":759},[728],[568,4485],{},[568,4487,672],{"className":4488},[765],[568,4490],{"className":4491,"style":769},[625],[568,4493,4495,4498],{"className":4494},[620],[568,4496,666],{"className":4497},[620,621],[568,4499,4501],{"className":4500},[715],[568,4502,4504,4524],{"className":4503},[719,720],[568,4505,4507,4521],{"className":4506},[724],[568,4508,4510],{"className":4509,"style":1064},[728],[568,4511,4512,4515],{"style":732},[568,4513],{"className":4514,"style":737},[736],[568,4516,4518],{"className":4517},[741,742,743,744],[568,4519,2756],{"className":4520},[620,744],[568,4522,752],{"className":4523},[751],[568,4525,4527],{"className":4526},[724],[568,4528,4530],{"className":4529,"style":759},[728],[568,4531],{},[568,4533,1660],{"className":4534},[820],[568,4536],{"className":4537,"style":1031},[625],[568,4539,885],{"className":4540},[1035],[568,4542],{"className":4543,"style":1031},[625],[568,4545,4547,4550,4553],{"className":4546},[611],[568,4548],{"className":4549,"style":3720},[615],[568,4551,908],{"className":4552},[620],[568,4554,925],{"className":4555},[620],[568,4557,4559,4605],{"className":4558},[571],[568,4560,4562],{"className":4561},[575],[577,4563,4564],{"xmlns":579},[581,4565,4566,4602],{},[584,4567,4568,4570,4572,4578,4580,4586,4588,4594,4596,4598,4600],{},[587,4569,675],{},[591,4571,1639],{"stretchy":659},[662,4573,4574,4576],{},[587,4575,666],{},[595,4577,597],{},[591,4579,672],{"separator":607},[662,4581,4582,4584],{},[587,4583,666],{},[595,4585,925],{},[591,4587,672],{"separator":607},[662,4589,4590,4592],{},[587,4591,666],{},[595,4593,2756],{},[591,4595,1660],{"stretchy":659},[591,4597,885],{},[591,4599,908],{},[595,4601,3220],{},[599,4603,4604],{"encoding":601},"f[x_1, x_2, x_3] = -0{,}5",[568,4606,4608,4764],{"className":4607,"ariaHidden":607},[606],[568,4609,4611,4614,4617,4620,4660,4663,4666,4706,4709,4712,4752,4755,4758,4761],{"className":4610},[611],[568,4612],{"className":4613,"style":701},[615],[568,4615,675],{"className":4616,"style":773},[620,621],[568,4618,1639],{"className":4619},[705],[568,4621,4623,4626],{"className":4622},[620],[568,4624,666],{"className":4625},[620,621],[568,4627,4629],{"className":4628},[715],[568,4630,4632,4652],{"className":4631},[719,720],[568,4633,4635,4649],{"className":4634},[724],[568,4636,4638],{"className":4637,"style":1064},[728],[568,4639,4640,4643],{"style":732},[568,4641],{"className":4642,"style":737},[736],[568,4644,4646],{"className":4645},[741,742,743,744],[568,4647,597],{"className":4648},[620,744],[568,4650,752],{"className":4651},[751],[568,4653,4655],{"className":4654},[724],[568,4656,4658],{"className":4657,"style":759},[728],[568,4659],{},[568,4661,672],{"className":4662},[765],[568,4664],{"className":4665,"style":769},[625],[568,4667,4669,4672],{"className":4668},[620],[568,4670,666],{"className":4671},[620,621],[568,4673,4675],{"className":4674},[715],[568,4676,4678,4698],{"className":4677},[719,720],[568,4679,4681,4695],{"className":4680},[724],[568,4682,4684],{"className":4683,"style":1064},[728],[568,4685,4686,4689],{"style":732},[568,4687],{"className":4688,"style":737},[736],[568,4690,4692],{"className":4691},[741,742,743,744],[568,4693,925],{"className":4694},[620,744],[568,4696,752],{"className":4697},[751],[568,4699,4701],{"className":4700},[724],[568,4702,4704],{"className":4703,"style":759},[728],[568,4705],{},[568,4707,672],{"className":4708},[765],[568,4710],{"className":4711,"style":769},[625],[568,4713,4715,4718],{"className":4714},[620],[568,4716,666],{"className":4717},[620,621],[568,4719,4721],{"className":4720},[715],[568,4722,4724,4744],{"className":4723},[719,720],[568,4725,4727,4741],{"className":4726},[724],[568,4728,4730],{"className":4729,"style":1064},[728],[568,4731,4732,4735],{"style":732},[568,4733],{"className":4734,"style":737},[736],[568,4736,4738],{"className":4737},[741,742,743,744],[568,4739,2756],{"className":4740},[620,744],[568,4742,752],{"className":4743},[751],[568,4745,4747],{"className":4746},[724],[568,4748,4750],{"className":4749,"style":759},[728],[568,4751],{},[568,4753,1660],{"className":4754},[820],[568,4756],{"className":4757,"style":1031},[625],[568,4759,885],{"className":4760},[1035],[568,4762],{"className":4763,"style":1031},[625],[568,4765,4767,4770,4773,4776,4782],{"className":4766},[611],[568,4768],{"className":4769,"style":3591},[615],[568,4771,908],{"className":4772},[620],[568,4774,893],{"className":4775},[620],[568,4777,4779],{"className":4778},[620],[568,4780,672],{"className":4781},[765],[568,4783,3241],{"className":4784},[620]," und ",[568,4787,4789,4856],{"className":4788},[571],[568,4790,4792],{"className":4791},[575],[577,4793,4794],{"xmlns":579},[581,4795,4796,4853],{},[584,4797,4798,4800,4802,4808,4810,4812,4814,4820,4822,4824,4844,4846],{},[587,4799,675],{},[591,4801,1639],{"stretchy":659},[662,4803,4804,4806],{},[587,4805,666],{},[595,4807,893],{},[591,4809,672],{"separator":607},[591,4811,958],{},[591,4813,672],{"separator":607},[662,4815,4816,4818],{},[587,4817,666],{},[595,4819,2756],{},[591,4821,1660],{"stretchy":659},[591,4823,885],{},[1916,4825,4826,4842],{},[584,4827,4828,4830,4832,4834,4836,4840],{},[591,4829,908],{},[595,4831,3220],{},[591,4833,593],{},[595,4835,3241],{},[587,4837,4839],{"mathvariant":4838},"normal","\u002F",[595,4841,3244],{},[595,4843,4352],{},[591,4845,885],{},[1916,4847,4848,4850],{},[595,4849,597],{},[595,4851,4852],{},"12",[599,4854,4855],{"encoding":601},"f[x_0, \\ldots, x_3] = \\frac{-0{,}5 + 5\u002F6}{4} = \\frac{1}{12}",[568,4857,4859,4981,5086],{"className":4858,"ariaHidden":607},[606],[568,4860,4862,4865,4868,4871,4911,4914,4917,4920,4923,4926,4929,4969,4972,4975,4978],{"className":4861},[611],[568,4863],{"className":4864,"style":701},[615],[568,4866,675],{"className":4867,"style":773},[620,621],[568,4869,1639],{"className":4870},[705],[568,4872,4874,4877],{"className":4873},[620],[568,4875,666],{"className":4876},[620,621],[568,4878,4880],{"className":4879},[715],[568,4881,4883,4903],{"className":4882},[719,720],[568,4884,4886,4900],{"className":4885},[724],[568,4887,4889],{"className":4888,"style":1064},[728],[568,4890,4891,4894],{"style":732},[568,4892],{"className":4893,"style":737},[736],[568,4895,4897],{"className":4896},[741,742,743,744],[568,4898,893],{"className":4899},[620,744],[568,4901,752],{"className":4902},[751],[568,4904,4906],{"className":4905},[724],[568,4907,4909],{"className":4908,"style":759},[728],[568,4910],{},[568,4912,672],{"className":4913},[765],[568,4915],{"className":4916,"style":769},[625],[568,4918,958],{"className":4919},[1407],[568,4921],{"className":4922,"style":769},[625],[568,4924,672],{"className":4925},[765],[568,4927],{"className":4928,"style":769},[625],[568,4930,4932,4935],{"className":4931},[620],[568,4933,666],{"className":4934},[620,621],[568,4936,4938],{"className":4937},[715],[568,4939,4941,4961],{"className":4940},[719,720],[568,4942,4944,4958],{"className":4943},[724],[568,4945,4947],{"className":4946,"style":1064},[728],[568,4948,4949,4952],{"style":732},[568,4950],{"className":4951,"style":737},[736],[568,4953,4955],{"className":4954},[741,742,743,744],[568,4956,2756],{"className":4957},[620,744],[568,4959,752],{"className":4960},[751],[568,4962,4964],{"className":4963},[724],[568,4965,4967],{"className":4966,"style":759},[728],[568,4968],{},[568,4970,1660],{"className":4971},[820],[568,4973],{"className":4974,"style":1031},[625],[568,4976,885],{"className":4977},[1035],[568,4979],{"className":4980,"style":1031},[625],[568,4982,4984,4988,5077,5080,5083],{"className":4983},[611],[568,4985],{"className":4986,"style":4987},[615],"height:1.355em;vertical-align:-0.345em;",[568,4989,4991,4994,5074],{"className":4990},[620],[568,4992],{"className":4993},[705,2265],[568,4995,4997],{"className":4996},[1916],[568,4998,5000,5066],{"className":4999},[719,720],[568,5001,5003,5063],{"className":5002},[724],[568,5004,5007,5021,5029],{"className":5005,"style":5006},[728],"height:1.01em;",[568,5008,5009,5012],{"style":3107},[568,5010],{"className":5011,"style":2285},[736],[568,5013,5015],{"className":5014},[741,742,743,744],[568,5016,5018],{"className":5017},[620,744],[568,5019,4352],{"className":5020},[620,744],[568,5022,5023,5026],{"style":2380},[568,5024],{"className":5025,"style":2285},[736],[568,5027],{"className":5028,"style":2388},[2387],[568,5030,5032,5035],{"style":5031},"top:-3.485em;",[568,5033],{"className":5034,"style":2285},[736],[568,5036,5038],{"className":5037},[741,742,743,744],[568,5039,5041,5044,5047,5053,5056,5059],{"className":5040},[620,744],[568,5042,908],{"className":5043},[620,744],[568,5045,893],{"className":5046},[620,744],[568,5048,5050],{"className":5049},[620,744],[568,5051,672],{"className":5052},[765,744],[568,5054,3241],{"className":5055},[620,744],[568,5057,593],{"className":5058},[630,744],[568,5060,5062],{"className":5061},[620,744],"5\u002F6",[568,5064,752],{"className":5065},[751],[568,5067,5069],{"className":5068},[724],[568,5070,5072],{"className":5071,"style":3434},[728],[568,5073],{},[568,5075],{"className":5076},[820,2265],[568,5078],{"className":5079,"style":1031},[625],[568,5081,885],{"className":5082},[1035],[568,5084],{"className":5085,"style":1031},[625],[568,5087,5089,5092],{"className":5088},[611],[568,5090],{"className":5091,"style":3367},[615],[568,5093,5095,5098,5157],{"className":5094},[620],[568,5096],{"className":5097},[705,2265],[568,5099,5101],{"className":5100},[1916],[568,5102,5104,5149],{"className":5103},[719,720],[568,5105,5107,5146],{"className":5106},[724],[568,5108,5110,5124,5132],{"className":5109,"style":3104},[728],[568,5111,5112,5115],{"style":3107},[568,5113],{"className":5114,"style":2285},[736],[568,5116,5118],{"className":5117},[741,742,743,744],[568,5119,5121],{"className":5120},[620,744],[568,5122,4852],{"className":5123},[620,744],[568,5125,5126,5129],{"style":2380},[568,5127],{"className":5128,"style":2285},[736],[568,5130],{"className":5131,"style":2388},[2387],[568,5133,5134,5137],{"style":3136},[568,5135],{"className":5136,"style":2285},[736],[568,5138,5140],{"className":5139},[741,742,743,744],[568,5141,5143],{"className":5142},[620,744],[568,5144,597],{"className":5145},[620,744],[568,5147,752],{"className":5148},[751],[568,5150,5152],{"className":5151},[724],[568,5153,5155],{"className":5154,"style":3434},[728],[568,5156],{},[568,5158],{"className":5159},[820,2265],". 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ist",[568,5162,5164],{"className":5163},[861],[568,5165,5167,5259],{"className":5166},[571],[568,5168,5170],{"className":5169},[575],[577,5171,5172],{"xmlns":579,"display":870},[581,5173,5174,5256],{},[584,5175,5176,5182,5184,5186,5188,5190,5192,5194,5196,5198,5200,5206,5208,5210,5212,5214,5216,5218,5220,5222,5224,5230,5232,5234,5236,5238,5240,5242,5244,5246,5248,5250,5252,5254],{},[662,5177,5178,5180],{},[587,5179,564],{},[595,5181,2756],{},[591,5183,660],{"stretchy":659},[587,5185,666],{},[591,5187,686],{"stretchy":659},[591,5189,885],{},[595,5191,597],{},[591,5193,593],{},[595,5195,925],{},[587,5197,666],{},[591,5199,908],{},[1916,5201,5202,5204],{},[595,5203,3241],{},[595,5205,3244],{},[3664,5207,3666],{},[587,5209,666],{},[3664,5211,3666],{},[591,5213,660],{"stretchy":659},[587,5215,666],{},[591,5217,908],{},[595,5219,597],{},[591,5221,686],{"stretchy":659},[591,5223,593],{},[1916,5225,5226,5228],{},[595,5227,597],{},[595,5229,4852],{},[3664,5231,3666],{},[587,5233,666],{},[3664,5235,3666],{},[591,5237,660],{"stretchy":659},[587,5239,666],{},[591,5241,908],{},[595,5243,597],{},[591,5245,686],{"stretchy":659},[591,5247,660],{"stretchy":659},[587,5249,666],{},[591,5251,908],{},[595,5253,2756],{},[591,5255,686],{"stretchy":659},[599,5257,5258],{"encoding":601},"p_3(x) 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Am Rand kann es stark schwingen (Runge-Phänomen).",{"title":6664,"searchDepth":6665,"depth":6665,"links":6666},"",2,[6667,6668,6669],{"id":561,"depth":6665,"text":562},{"id":2678,"depth":6665,"text":2679},{"id":5721,"depth":6665,"text":5722},[6671,6673,6676,6679,6683,6686,6689,6692,6695,6698,6700,6703,6705,6708],{"lhs":6672,"rhs":925},"(3 - 1)\u002F(1 - 0)",{"lhs":6674,"rhs":6675},"(2 - 3)\u002F(3 - 1)","-0.5",{"lhs":6677,"rhs":6678},"(-0.5 - 2)\u002F(3 - 0)","-5\u002F6",{"lhs":6680,"rhs":597,"where":6681},"1 + 2*x - 5\u002F6*x*(x - 1)",{"x":6682},0,{"lhs":6680,"rhs":2756,"where":6684},{"x":6685},1,{"lhs":6680,"rhs":925,"where":6687},{"x":6688},3,{"lhs":6690,"rhs":6691},"1 + 2*2 - 5\u002F6*2*(2 - 1)","10\u002F3",{"lhs":6693,"rhs":6694},"round(10\u002F3, 4)","3.3333",{"lhs":6696,"rhs":6697},"(0 - 2)\u002F(4 - 3)","-2",{"lhs":6699,"rhs":6675},"(-2 - (-0.5))\u002F(4 - 1)",{"lhs":6701,"rhs":6702},"(-0.5 - (-5\u002F6))\u002F(4 - 0)","1\u002F12",{"lhs":6704,"rhs":893},"1 + 2*4 - 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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\">paarweise verschieden\u003C\u002Fspan>",null,"md","newton-interpolation","p(x) = \\sum_{k=0}^{n} f[x_0, \\ldots, x_k] \\prod_{j=0}^{k-1} (x - x_j)","\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>p\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmi>f\u003C\u002Fmi>\u003Cmo 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