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antisymmetric

adj

Etymology

From anti- + symmetric.

  1. derived from συμμετρία
  2. derived from symmetria
  3. prefixed as antisymmetric — “anti + symmetric”

Definitions

  1. Having the property that, for any two distinct elements of S, at least one is not related…

    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.

    • 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.

  2. Whose sign changes on the application of a matrix transpose or some generalisation thereof

    Whose sign changes on the application of a matrix transpose or some generalisation thereof:

The neighborhood

Derived

antisymmetrically, antisymmetricity

Vish — recursive loop

No curated loop yet for antisymmetric. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA