antisymmetric (English, adj)
expansion: antisymmetric (not comparable)
Senses:
topics: mathematics
order-theory
sciences
set-theory
glosses: 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.
tags: not-comparable
raw_tags: of a binary relation R on a set S
topics: linear-algebra
mathematics
sciences
glosses: Whose sign changes on the application of a matrix transpose or some generalisation thereof:
Whose transpose equals its negative (i.e., Mᵀ = −M);
tags: not-comparable
raw_tags: of a matrix
of certain mathematical objects
topics: linear-algebra
mathematics
sciences
glosses: Whose sign changes on the application of a matrix transpose or some generalisation thereof:
That changes sign when any two indices are interchanged (e.g., Tᵢⱼₖ = -Tⱼᵢₖ);
tags: not-comparable
raw_tags: of a tensor
of certain mathematical objects
topics: linear-algebra
mathematics
sciences
glosses: Whose sign changes on the application of a matrix transpose or some generalisation thereof:
For which B(w,v) = -B(v,w).
tags: not-comparable
raw_tags: of a bilinear form
of certain mathematical objects
Forms: