symmetric function

symmetric function
a polynomial in several indeterminates that stays the same under any permutation of the indeterminates. Also called symmetric polynomial.
[1850-55]

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Universalium. 2010.

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  • Symmetric function — In mathematics, the term symmetric function can mean two different concepts. A symmetric function of n variables is one whose value at any n tuple of arguments is the same as its value at any permutation of that n tuple. While this notion can… …   Wikipedia

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  • symmetric function — Math. a polynomial in several indeterminates that stays the same under any permutation of the indeterminates. Also called symmetric polynomial. [1850 55] …   Useful english dictionary

  • symmetric function — noun Any function, of multiple variables, whose value is independent of the order of the variables i.e. f(a,b) = f(b,a) …   Wiktionary

  • Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

  • Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… …   Wikipedia

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  • Symmetric matrix — In linear algebra, a symmetric matrix is a square matrix, A , that is equal to its transpose:A = A^{T}. ,!The entries of a symmetric matrix are symmetric with respect to the main diagonal (top left to bottom right). So if the entries are written… …   Wikipedia

  • Symmetric difference — Venn diagram of The symmetric difference is the union without the intersection …   Wikipedia

  • Symmetric derivative — In mathematics, the symmetric derivative is an operation related to the ordinary derivative.It is defined as::lim {h o 0}frac{f(x+h) f(x h)}{2h}.A function is symmetrically differentiable at a point x if its symmetric derivative exists at that… …   Wikipedia

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