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antisymmetric matrix

См. также в других словарях:

  • Antisymmetric — In set theory, the adjective antisymmetric usually refers to an antisymmetric relation.The term antisymmetric function is sometimes used for odd function, although some meanings of antisymmetric are essentiality f ( y , x ) = − f ( x , y ). In… …   Wikipedia

  • Antisymmetric tensor — In mathematics and theoretical physics, a tensor is antisymmetric on two indices i and j if it flips sign when the two indices are interchanged: An antisymmetric tensor is a tensor for which there are two indices on which it is antisymmetric. If… …   Wikipedia

  • antisymmetric — I. | ̷ ̷(ˌ) ̷ ̷ ̷ ̷| adjective Etymology: anti (I) + symmetric of a square matrix or a tensor : having the sign of every element or component changed by the interchange of any two indices of that element or component II. adjective 1. : relating… …   Useful english dictionary

  • 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

  • Conference matrix — In mathematics, a conference matrix (also called a C matrix) is a square matrix C with 0 on the diagonal and +1 and −1 off the diagonal, such that CTC is a multiple of the identity matrix I. Thus, if the matrix has order n, CTC = (n−1)I …   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

  • Trace (linear algebra) — In linear algebra, the trace of an n by n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii represents the entry on the ith row and ith column …   Wikipedia

  • Curvature of Riemannian manifolds — In mathematics, specifically differential geometry, the infinitesimal geometry of Riemannian manifolds with dimension at least 3 is too complicated to be described by a single number at a given point. Riemann introduced an abstract and rigorous… …   Wikipedia

  • Axis angle — The axis angle representation of a rotation, also known as the exponential coordinates of a rotation, parameterizes a rotation by two values: a unit vector indicating the direction of a directed axis (straight line), and an angle describing the… …   Wikipedia

  • GENERIC formalism — In non equilibrium thermodynamics, GENERIC is an acronym for General Equation for Non Equilibrium Reversible Irreversible Coupling. It is the general form of dynamic equation for a system with both reversible and irreversible dynamics (generated… …   Wikipedia

  • Viscosity — For other uses, see Viscosity (disambiguation). Viscosity The substance above has lower viscosity than the substance below SI symbol: μ, η SI unit: Pa·s  …   Wikipedia

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