antisymmetry's Usage Examples:

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

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

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

movement (by proposing a weak version of the theory of antisymmetry, i.

dynamic antisymmetry) according to which movement is the effect of a symmetry-breaking.

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.

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

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

Applying this antisymmetry operation to the 32 crystallographic.

individual tensors can impose global symmetries on the wave function (such as antisymmetry under exchange of fermions) or restrict the wave function to specific.

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

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

This is one of the very few cases of genetic antisymmetry known in nature.

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

if a ≤ b and b ≤ a, then a = b (antisymmetry: two distinct elements cannot be related in both directions).

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.