Definitions from Wiktionary (antisymmetric)
▸ adjective: (set theory, order theory, 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.
▸ adjective: (linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:
▸ adjective: (of a matrix) Whose transpose equals its negative (i.e., Mᵀ = −M);
▸ adjective: (of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
▸ adjective: (of a bilinear form) For which B(w,v) = -B(v,w).
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▸ adjective: (set theory, order theory, 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.
▸ adjective: (linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:
▸ adjective: (of a matrix) Whose transpose equals its negative (i.e., Mᵀ = −M);
▸ adjective: (of a tensor) That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
▸ adjective: (of a bilinear form) For which B(w,v) = -B(v,w).
Similar:
asymmetric,
symmetric,
irreflexive,
reflexive,
trichotomous,
quasireflexive,
right total,
antisymmetrical,
left total,
assosymmetric,
more...
Opposite:
Types:
Phrases:
▸ Words similar to antisymmetric
▸ Usage examples for antisymmetric
▸ Idioms related to antisymmetric
▸ Wikipedia articles (New!)
▸ Popular nouns described by antisymmetric
▸ Words that often appear near antisymmetric
▸ Rhymes of antisymmetric
▸ Invented words related to antisymmetric