ALL meanings of antisymmetric
an·ti·sym·met·ric
A a - adjective antisymmetric (of a relation) never holding between a pair of arguments x and y when it holds between y and x except when x = y, as "…is no younger than…" 3
- adjective antisymmetric symmetric except for a change of sign 3
- noun Technical meaning of antisymmetric (mathematics) A relation R is antisymmetric if, for all x and y, x R y and y R x => x == y. I.e. no two different elements are mutually related. x R y => y R x then x R y => x == y I.e. different elements are not related. 1
- adjective antisymmetric noting a relation in which one element's dependence on a second implies that the second element is not dependent on the first, as the relation “greater than.”. 1
- noun antisymmetric Unaltered in magnitude but changed in sign by exchange of two variables or by a particular symmetry operation. 1
- adjective antisymmetric (set theory) Of a relation R on a set S, having the property that for any two distinct elements of S, at least one is not related to the other via R. 0