antisymmetric

or an·ti·sym·met·ri·cal

[ an-tee-si-me-trik or an-tee-si-me-tri-kuh l; an-tahy- ]
/ ˌæn ti sɪˈmɛ trɪk or ˌæn ti sɪˈmɛ trɪ kəl; ˌæn taɪ- /

adjective Mathematics.

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.”

Origin of antisymmetric

First recorded in 1920–25; anti- + symmetric

British Dictionary definitions for antisymmetric

antisymmetric
/ (ˌæntɪsɪˈmɛtrɪk) /

adjective

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
maths symmetric except for a change of sign Compare asymmetric, symmetric (def. 1)