antisymmetric

Meaning

Adjective

• 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.
• Whose sign changes on the application of a matrix transpose or some generalisation thereof:

Related

Similar words

• skew-symmetric

Origin

• anti- + symmetric.