symmetric polynomial

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English[edit]

Noun[edit]

symmetric polynomial (plural symmetric polynomials)

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  1. (algebra) A polynomial which remains unchanged if its variables are permuted
    x+y+z
    xyz
    2x^2+2y^2+2z^2, etc.
    An example of a non-symmetric polynomial is x+2y: if we interchange x and y, this polynomial changes to 2x+y.