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.”.
(logic) (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…"See nonsymmetric
2.
(maths) symmetric except for a change of sign Compare asymmetric, symmetric (sense 1)
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. Partial orders and total orders are antisymmetric. If R is also symmetric, i.e. x R y => y R x then x R y => x == y I.e. different elements are not related. (1995-04-18)