 elementary symmetric polynomial

a coefficient of some power of t in , for any
Wikipedia foundation.
Wikipedia foundation.
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
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
Elementary symmetric mean — The elementary symmetric mean is based on elementary symmetric polynomials.If x is a tuple with x = (x 1,dots,x n) andalpha p(x) is the corresponding elementary symmetric term of order p,then the respective mean is:M p(x) = sqrt [p] {frac{alpha… … Wikipedia
Complete homogeneous symmetric polynomial — In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression… … Wikipedia
Power sum symmetric polynomial — In mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type of basic building block for symmetric polynomials, in the sense that every symmetric polynomial with rational coefficients can be expressed as a… … Wikipedia
Elementary — Elementary: *Education ** Elementary education, consists of the first years of formal, structured education that occur during childhood. **Elementary school, a school providing elementary or primary education. Historically, a school in the UK… … Wikipedia
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
Elementary algebra — is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. It is typically taught in secondary school under the term algebra. The major… … Wikipedia
Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the … 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