antisymmetric

Etymology
.

Adjective

 * 1)  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.
 * 2) * 1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479,
 * The standard example for an antisymmetric relation is the relation less than or equal to on the real number system.
 * 1)  Whose sign changes on the application of a matrix transpose or some generalisation thereof:
 * 2)  Whose transpose equals its negative (i.e., MT = −M);
 * 3)  That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);
 * 4)  For which B(w,v) = -B(v,w).
 * 1)  That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);
 * 2)  For which B(w,v) = -B(v,w).
 * 1)  For which B(w,v) = -B(v,w).

Translations

 * Czech: antisymetrický
 * Esperanto: malsimetria, antisimetria
 * Finnish: antisymmetrinen
 * French:
 * German:
 * Icelandic: andsamhverfur
 * Japanese: 反対称的
 * Polish: antysymetryczny
 * Portuguese: antissimétrico
 * Romanian: antisimetric
 * Russian:
 * Spanish: antisimétrico
 * Swedish:


 * Finnish: antisymmetrinen
 * German:
 * Polish: antysymetryczny
 * Romanian: antisimetric
 * Spanish: antisimétrico