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 operator notation the latter is called anticommutativity.
In linear algebra and theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (usually the exchange of two indices, which becomes the transposition of the matrix) is performed. See:
- antisymmetric matrix (a matrix A for which xTAy = − yTAx)
- antisymmetric tensor
See also Symmetry in mathematics.
 |
This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. |
This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)
