I. | ̷ ̷(ˌ) ̷ ̷ ̷ ̷|- adjective
Etymology: anti- (I) + symmetric
of a square matrix or a tensor : having the sign of every element or component changed by the interchange of any two indices of that element or component
II. adjective
1. : relating to or being a relation (as “is a subset of”) that implies equality of any two quantities for which it holds in both directions
the relation R is antisymmetric if aRb and bRa implies a = b
2. : being a wave function of a particle (as an electron or a nucleus in a molecule) that changes sign when the particle is interchanged with another similar particle which occupies a different energy state