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Antisymmetric

adjective
Word Frequency: 0.3

Definitions

1.adjective(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.
2.adjective(of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:

Synonyms

skew-symmetricasymmetricsymmetricirreflexivereflexivetrichotomousquasireflexiveright totalantisymmetricalleft totalassosymmetricstrict
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