polynomial representation

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• Polynomial conjoint measurement — is an extension of the theory of conjoint measurement to three or more attributes. It was initially developed by the mathematical psychologists David Krantz (1968) and Amos Tversky (1967). The theory was given a comprehensive mathematical… …   Wikipedia

• Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia

• Polynomial SOS — In mathematics, a homogeneous form h ( x ) of degree 2 m in the real n dimensional vector x is a SOS (sum of squares) of homogeneous forms if and only if it can be written as a sum of squares of homogeneous forms of degree m ::h(x) mbox{is SOS}… …   Wikipedia

• Elementary symmetric polynomial — In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary… …   Wikipedia

• Jones polynomial — In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1983. Specifically, it is an invariant of an oriented knot or link which assigns to each oriented knot or link a Laurent polynomial …   Wikipedia

• Kazhdan–Lusztig polynomial — In representation theory, a Kazhdan–Lusztig polynomial P y,w ( q ) is a member of a family of integral polynomials introduced in work of David Kazhdan and George Lusztig Harv|Kazhdan|Lusztig|1979. They are indexed by pairs of elements y , w of a… …   Wikipedia

• Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… …   Wikipedia

• Conway polynomial (finite fields) — In mathematics, the Conway polynomial Cp,n for the finite field Fpn is a particular irreducible polynomial of degree n over Fp that can be used to define a standard representation of Fpn as a splitting field of Fp. Conway polynomials were named… …   Wikipedia

• Schur polynomial — In mathematics, Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables with integral coefficients. The elementary symmetric polynomials and the complete homogeneous symmetric polynomials are special cases of… …   Wikipedia

• Primitive polynomial — In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF( p m ). In other words, a polynomial F(X) with coefficients in GF( p ) = Z/ p Z is a primitive… …   Wikipedia

• Burau representation — In mathematics the Burau representation is a representation of the braid groups. The Burau representation has two common and near equivalent formulations, the reduced and unreduced Burau representations. Definition Consider the braid group B n to …   Wikipedia