antisymmetry's Usage Examples:

b {\displaystyle a\to b} then b ↛ a {\displaystyle b\nrightarrow a} (antisymmetry).

identity morphisms, equivalently that the preordered class satisfies antisymmetry and hence, if a set, is a poset.

Slater, who introduced the determinant in 1929 as a means of ensuring the antisymmetry of a many-electron wave function, although the wave function in the determinant.

It is not a true partial ordering because antisymmetry need not hold: if both A ≤ c B {\displaystyle A\leq _{c}B} and B ≤ c.

In economics, one may relax the axiom of antisymmetry, using preorders (generally total preorders) instead of partial orders;.

Applying this antisymmetry operation to the 32 crystallographic.

In X-bar theory, S-H-C is a primitive, an example of this is Kayne"s antisymmetry theory.

In linguistics, antisymmetry is a theory of syntactic linearization presented in Richard Kayne"s 1994 monograph The Antisymmetry of Syntax.

using the edge relationships of tiles: two-color and two-motif tilings (counterchange symmetry or antisymmetry); color symmetry (in crystallography); metamorphosis.

rigorously established the concept of antisymmetry as part of a series of papers in 1929 and 1930.

antisymmetry @ X leq Y, Y leq X <> X Y.

(The definition of antisymmetry says nothing about whether R(a, a) actually holds or not for any a.

and that two distinct entities cannot each be a part of the other (antisymmetry), thus forming a poset.