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Antisymmetric

Adjective

Definitionen

1.AdjectiveHaving 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.
2.AdjectiveWhose sign changes on the application of a matrix transpose or some generalisation thereof: Whose transpose equals its negative (i.e., M = −M); That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik); For which B(w,v) = -B(v,w).
3.AdjectiveWhose transpose equals its negative (i.e., M = −M);
4.AdjectiveThat changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);
5.AdjectiveFor which B(w,v) = -B(v,w).
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