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Homesymmetric polynomial

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# symmetric polynomial

A polynomial $f\in R[x_{1},\dots,x_{n}]$ in $n$ variables with coefficients in a ring $R$ is symmetric if $\sigma(f)=f$ for every permutation $\sigma$ of the set $\{x_{1},\dots,x_{n}\}$.

Every symmetric polynomial can be written as a polynomial expression in the elementary symmetric polynomials.

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## Mathematics Subject Classification

13B25*no label found*12F10

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