skew-symmetric matrix
31Cayley transform — In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Harvtxt|Cayley|1846, the Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices …
32Symplectic vector space — In mathematics, a symplectic vector space is a vector space V equipped with a nondegenerate, skew symmetric, bilinear form omega; called the symplectic form. Explicitly, a symplectic form is a bilinear form omega; : V times; V rarr; R which is *… …
33Charts on SO(3) — In mathematics, the special orthogonal group in three dimensions, otherwise known as the rotation group SO(3), is a naturally occurring example of a manifold. The various charts on SO(3) set up rival coordinate systems: in this case there cannot… …
34Symplectic group — For finite groups with all characteristc abelian subgroups cyclic, see group of symplectic type. Group theory …
35Symmetry in mathematics — For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Symmetry occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change… …
36Paley construction — In mathematics, the Paley construction is a method for constructing Hadamard matrices using finite fields. The construction was described in 1933 by the English mathematician Raymond Paley.The Paley construction uses quadratic residues in a… …
37Transpose — This article is about the transpose of a matrix. For other uses, see Transposition In linear algebra, the transpose of a matrix A is another matrix AT (also written A′, Atr or At) created by any one of the following equivalent actions: reflect A… …
38Method of quantum characteristics — In quantum mechanics, quantum characteristics are phase space trajectories that arise in the deformation quantization through the Weyl Wigner transform of Heisenberg operators of canonical coordinates and momenta. These trajectories obey the… …
39Trace (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 …
40Computing the permanent — In mathematics, the computation of the permanent of a matrix is a problem that is believed to be more complex than the computation of the determinant of a matrix despite the apparent similarity of the definitions. The permanent is defined… …
