symmetric form
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Carlson symmetric form — In mathematics, the Carlson symmetric forms of elliptic integrals, R C, R D, R F and R J are defined by:R C(x,y) := frac{1}{2} int 0^infty (t+x)^{ 1/2} (t+y)^{ 1},dt:R D(x,y,z) := frac{3}{2} int 0^infty (t+x)^{ 1/2} (t+y)^{ 1/2} (t+z)^{ 3/2},dt:R … 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 level-index arithmetic — The level index (LI) representation of numbers, and its algorithms for arithmetic operations, were introduced by Clenshaw Olver. The symmetric form of the LI system and its arithmetic operations were presented by Clenshaw Turner. Anuta, Lozier,… … Wikipedia
Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 … Wikipedia
Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing … 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 bilinear form — A symmetric bilinear form is, as the name implies, a bilinear form on a vector space that is symmetric. They are of great importance in the study of orthogonal polarities and quadrics.They are also more briefly referred to as symmetric forms when … Wikipedia
Symmetric tensor — In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments. Symmetric tensors of rank two are sometimes called quadratic forms. In more abstract terms, symmetric tensors of general rank are… … Wikipedia
Symmetric game — In game theory, a symmetric game is a game where the payoffs for playing a particular strategy depend only on the other strategies employed, not on who is playing them. If one can change the identities of the players without changing the payoff… … Wikipedia
Symmetric difference — Venn diagram of The symmetric difference is the union without the intersection … Wikipedia
Symmetric product of an algebraic curve — In mathematics, the n fold symmetric product of an algebraic curve C is the quotient space of the n fold cartesian product: C times; C times; ... times; C or C n by the group action of the symmetric group on n letters permuting the factors. It… … Wikipedia