triennale-appunti-steffo/docs/route-CalcoloNumerico.chunk.66337.js

(window.webpackJsonp=window.webpackJsonp||[]).push([[5],{"2w3n":function(n){n.exports={red:"red__2y1B_",orange:"orange__dD2kx",yellow:"yellow__OEpwl",lime:"lime__CVe41",cyan:"cyan__26ZAg",blue:"blue__LO7Xm",magenta:"magenta__1Akee",example:"example__2PzAa"}},"31Ft":function(n,l,i){"use strict";(function(n){function e(){var n=O(["omega_n(star) = 2 left( \frac{b-a}{4} \right)^{n+1}"],["\\omega_n(\\star) = 2 \\left( \\frac{b-a}{4} \\right)^{n+1}"]);return e=function(){return n},n}function r(){var n=O(["omega_n(star) = max_{x in [a, b]} left| omega_n(x) \right|"],["\\omega_n(\\star) = \\max_{x \\in [a, b]} \\left| \\omega_n(x) \\right|"]);return r=function(){return n},n}function t(){var n=O(["x_i = cos left( \frac{ (2 cdot i + 1) cdot pi }{ 2 cdot (n+1) } \right)"],["x_i = \\cos \\left( \\frac{ (2 \\cdot i + 1) \\cdot \\pi }{ 2 \\cdot (n+1) } \\right)"]);return t=function(){return n},n}function o(){var n=O(["n"]);return o=function(){return n},n}function a(){var n=O(["\frac{1}{1 + 25x^2}"],["\\frac{1}{1 + 25x^2}"]);return a=function(){return n},n}function u(){var n=O([void 0],["R_n(x) = \\frac{ \\omega_n(x) }{ (n + 1)! } \\cdot f^{(n+1)}(\\xi)"]);return u=function(){return n},n}function c(){var n=O(["| f - p_n |_infty"],["\\| f - p_n \\|_\\infty"]);return c=function(){return n},n}function s(){var n=O(["R_n(x) = f(x) - p_n(x)"]);return s=function(){return n},n}function d(){var n=O(["O(n^2)"]);return d=function(){return n},n}function f(){var n=O(["L_k(x) = \frac{ omega_n }{ (x - x_k) cdot prod_{i=0, i \neq k} (x_k - x_i) }"],["L_k(x) = \\frac{ \\omega_n }{ (x - x_k) \\cdot \\prod_{i=0, i \\neq k} (x_k - x_i) }"]);return f=function(){return n},n}function p(){var n=O(["omega_n = (x - x_0) cdot (x - x_1) cdot dots cdot (x - x_n)"],["\\omega_n = (x - x_0) \\cdot (x - x_1) \\cdot \\dots \\cdot (x - x_n)"]);return p=function(){return n},n}function m(){var n=O(["x_k"]);return m=function(){return n},n}function _(){var n=O(["L_k = \frac{(x - x_0) cdot dots cdot (x - x_{k-1}) cdot (x - x_{k+1}) cdot dots cdot (x_k - x_n)}{(x_k - x_0) cdot dots cdot (x_k - x_{k-1}) cdot (x_k - x_{k+1}) cdot dots cdot (x_k - x_n)}"],["L_k = \\frac{(x - x_0) \\cdot \\dots \\cdot (x - x_{k-1}) \\cdot (x - x_{k+1}) \\cdot \\dots \\cdot (x_k - x_n)}{(x_k - x_0) \\cdot \\dots \\cdot (x_k - x_{k-1}) \\cdot (x_k - x_{k+1}) \\cdot \\dots \\cdot (x_k - x_n)}"]);return _=function(){return n},n}function h(){var n=O(["\n                            \begin{cases}\n                                L_k(x_k) = 1 qquad (nel nodo)\\\n                                L_k(x_j) = 0 qquad (altri nodi)\n                            end{cases}\n                        "],["\n                            \\begin{cases}\n                                L_k(x_k) = 1 \\qquad (nel\\ nodo)\\\\\n                                L_k(x_j) = 0 \\qquad (altri\\ nodi)\n                            \\end{cases}\n                        "]);return h=function(){return n},n}function v(){var n=O(["0 < n < 1"]);return v=function(){return n},n}function x(){var n=O(["L_k"]);return x=function(){return n},n}function b(){var n=O(["p_n (x) = y_0 L_0 + y_1 L_1 + y_2 L_2 + dots + y_n L_n"],["p_n (x) = y_0 L_0 + y_1 L_1 + y_2 L_2 + \\dots + y_n L_n"]);return b=function(){return n},n}function g(){var n=O(["y"]);return g=function(){return n},n}function z(){var n=O(["\n                    b =\n                    \begin{pmatrix}\n                        y_0\\\\\n                        y_1\\\\\n                        y_2\\\\\n                        \vdots\\\\\n                        y_n\n                    end{pmatrix}\n                    "],["\n                    b =\n                    \\begin{pmatrix}\n                        y_0\\\\\\\\\n                        y_1\\\\\\\\\n                        y_2\\\\\\\\\n                        \\vdots\\\\\\\\\n                        y_n\n                    \\end{pmatrix}\n                    "]);return z=function(){return n},n}function q(){var n=O(["\n                    x = \n                    \begin{pmatrix}\n                        a_0\\\\\n                
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