- skew-symmetric form
- мат. кососимметричная форма
Большой англо-русский и русско-английский словарь. 2001.
skew-symmetric form
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Skew-symmetric matrix — In linear algebra, a skew symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation:: A T = − A or in component form, if A = ( a ij ):: a ij = − a ji for all i and j .For… … Wikipedia
Skew-symmetric graph — In graph theory, a branch of mathematics, a skew symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by reversing all of its edges. The isomorphism is required to be an involution without any fixed… … 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
Skew-Hamiltonian matrix — In linear algebra, skew Hamiltonian matrices are special matrices which correspond to skew symmetric bilinear forms on a symplectic vector space.Let V be a vector space, equipped with a symplectic form Omega. Such a space must be even dimensional … Wikipedia
Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… … Wikipedia
Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + … Wikipedia
Ε-quadratic form — In mathematics, specifically the theory of quadratic forms, an ε quadratic form is a generalization of quadratic forms to skew symmetric settings and to * rings; epsilon = pm 1, accordingly for symmetric or skew symmetric. They are also called (… … Wikipedia
Sesquilinear form — In mathematics, a sesquilinear form on a complex vector space V is a map V times; V rarr; C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix meaning one and a half . Compare with a bilinear … Wikipedia
Real form (Lie theory) — Lie groups … Wikipedia
Two-form — In linear algebra, a two form is another term for a bilinear form, typically used in informal discussions, or sometimes to indicate that the bilinear form is skew symmetric.In differential geometry, a two form refers to a differential form of… … Wikipedia
Vector-valued differential form — In mathematics, a vector valued differential form on a manifold M is a differential form on M with values in a vector space V . More generally, it is a differential form with values in some vector bundle E over M . Ordinary differential forms can … Wikipedia
