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Wikipedia definition
1. Symmetric polynomialIn mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) 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(Xσ, Xσ, …, Xσ) = P(X1, X2, …, Xn).
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