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O que (quem) é symmetric function - definição
Symmetric function
FUNCTION THAT IS INVARIANT UNDER ALL PERMUTATIONS OF ITS VARIABLES
Fundamental theorem of symmetric functions; Symmetric functions; Complete symmetric function; Symmetric funtion
In mathematics, a function of n variables is symmetric if its value is the same no matter the order of its arguments. For example, a function f\left(x_1,x_2\right) of two arguments is a symmetric function if and only if f\left(x_1,x_2\right) = f\left(x_2,x_1\right) for all x_1 and x_2 such that \left(x_1,x_2\right) and \left(x_2,x_1\right) are in the domain of f.
Stanley symmetric function
In mathematics and especially in algebraic combinatorics, the Stanley symmetric functions are a family of symmetric functions introduced by in his study of the symmetric group of permutations.
Elementary symmetric polynomial
HOMOGENEOUS SYMMETRIC POLYNOMIAL IN WHICH EACH POSSIBLE MONOMIAL OCCURS EXACTLY ONCE WITH COEFFICIENT 1
Elementary symmetric function; Elementary symmetric polynomials; Fundamental theorem of symmetric polynomials; Fundamental Theorem of Symmetric Polynomials
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 can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.
