polynomial interpolation

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• Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

• Interpolation — In the mathematical subfield of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science one often has a number of data points, as obtained… …   Wikipedia

• interpolation — /in terr peuh lay sheuhn/, n. 1. the act or process of interpolating or the state of being interpolated. 2. something interpolated, as a passage introduced into a text. 3. Math. a. the process of determining the value of a function between two… …   Universalium

• Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

• Interpolation (computer programming) — In the context of computer animation, interpolation refers to the use of (usually) piecewise polynomial interpolation to draw images semi automatically. For all applications of this type, a set of key points is defined by the graphic artist.… …   Wikipedia

• Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …   Wikipedia

• Interpolation attack — In cryptography, an interpolation attack is a type of cryptanalytic attack against block ciphers.In the attack, an algebraic function is used to represent an S box. This may be a simple quadratic, or a polynomial or rational function over a… …   Wikipedia

• Polynomial — Polynôme Courbe polynomiale cubique Un polynôme, en mathématiques, est la combinaison linéaire des produits de puissances d une ou de plusieurs indéterminées, habituellement notées X, Y, Z… Ces objets sont largement utilisés en pratique, ne… …   Wikipédia en Français

• Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …   Wikipedia

• Lagrange polynomial — In numerical analysis, a Lagrange polynomial, named after Joseph Louis Lagrange, is the interpolation polynomial for a given set of data points in the Lagrange form. It was first discovered by Edward Waring in 1779 and later rediscovered by… …   Wikipedia

• Trigonometric interpolation — In mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which goes through some given data points. For trigonometric interpolation, this function has to be a… …   Wikipedia