: Mathematics: symmetric polynomial

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symmetric polynomial

In mathematics, a symmetric polynomial is a polynomial $P (X 1, X 2, ..., X n)$ in $n$ variables, such that if any of the variables are interchanged, one obtains the same polynomial. Formally, $P$ is a symmetric polynomial if for any permutation $σ$ of the subscripts $1, 2, ..., n$ one has $P (X σ(1), X σ(2), ..., X σ(n)) = P (X 1, X 2, ..., X n)$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Symmetric_polynomial)

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