symmetric function

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

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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

  • symmetric function — simetrinė funkcija statusas T sritis fizika atitikmenys: angl. symmetric function vok. symmetrische Funktion, f rus. симметрическая функция, f pranc. fonction symétrique, f …   Fizikos terminų žodynas

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

  • 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 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

  • Symmetric-key algorithm — Symmetric key algorithms are a class of algorithms for cryptography that use trivially related, often identical, cryptographic keys for both decryption and encryption.The encryption key is trivially related to the decryption key, in that they may …   Wikipedia

  • 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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