antisymmetric

a. 反对称的 [计] 反对称的, 非对称的

发音

US

释义与例句

adj.
  1. 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.

    数学

    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. 2.

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

    Whose transpose equals its negative (i.e., Mᵀ = −M);

    数学
  3. 3.

    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);

    数学
  4. 4.

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

    For which B(w,v) = -B(v,w).

    数学

词源

From anti- + symmetric.

来源：wiktionary