Farm X-1 Lux(x) 1 This polynomial is given by The interpolating polynomial is easily described once the form of Lnk is known. This polynomial, called the nth Lagrange interpolating polynomial, is defined in the following theorem. Ln(x) = If x0, x₁,...,x are n + 1 distinct numbers and f is a function whose values are given at these numbers, then a unique polynomial P(x) of degree at most n exists with f(x) = P(x), for each k = 0, 1,..., n. where, for each k = 0, 1,..., n, = xk Xx+1 R II i=0 izk 11 P(x) = f(x)L₂,0 (x) + ··· + ƒ (X₂)Ln,n(X) = Σƒ (Xk) Ln,k (X), k=0 (x-xo)(x-x₁)··· (X − Xk-1) (X — Xk+1) ・・・ (X−X₂) (Ik – X0)(Xk − Xi)…( − Xk−1)(x − Xk+1) … ( −x) (x-x₂) (X – Xì) - x (3.1) (3.2)
Farm X-1 Lux(x) 1 This polynomial is given by The interpolating polynomial is easily described once the form of Lnk is known. This polynomial, called the nth Lagrange interpolating polynomial, is defined in the following theorem. Ln(x) = If x0, x₁,...,x are n + 1 distinct numbers and f is a function whose values are given at these numbers, then a unique polynomial P(x) of degree at most n exists with f(x) = P(x), for each k = 0, 1,..., n. where, for each k = 0, 1,..., n, = xk Xx+1 R II i=0 izk 11 P(x) = f(x)L₂,0 (x) + ··· + ƒ (X₂)Ln,n(X) = Σƒ (Xk) Ln,k (X), k=0 (x-xo)(x-x₁)··· (X − Xk-1) (X — Xk+1) ・・・ (X−X₂) (Ik – X0)(Xk − Xi)…( − Xk−1)(x − Xk+1) … ( −x) (x-x₂) (X – Xì) - x (3.1) (3.2)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Make an actual code equivalent in MATLAB. Include the table showing the parameter values for each interpolation/iteration. Include graphs.
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