adjective🔗Share(of a binary 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; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y."The "is older than or the same age as" relationship is antisymmetric because if person A is older than or the same age as person B, and person B is older than or the same age as person A, then person A and person B must be the same age. "mathlogicsystemChat with AIVocabulary GamePractice Reading
adjective🔗Share(of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:"The seating arrangement at the debate club was antisymmetric: if Maya sits to the left of David, then David must sit to the left of Maya in the next round. "mathChat with AIVocabulary GamePractice Reading