antisymmetric

(not comparable)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.

antisymmetrisch

антисимметри́чныйantisimmetríčnyj

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

(not comparable)Whose transpose equals its negative (i.e., Mᵀ = −M);

(not comparable)That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);

(not comparable)For which B(w,v) = -B(v,w).

antisymmetrisch