antisymmetric's Usage Examples:

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its.

X is antisymmetric if there is no pair of distinct elements of X each of which is related by R to the other.

More formally, R is antisymmetric precisely.

In mathematics and theoretical physics, a tensor is antisymmetric on (or with respect to) an index subset if it alternates sign (+/−) when any two indices.

(non-strict) partial orders, both of which are special cases of a preorder: an antisymmetric preorder is a partial order, and a symmetric preorder is an equivalence.

decomposed into a symmetric and an antisymmetric part.

As the electromagnetic field is characterized by an antisymmetric rank-2 tensor, there is an obvious.

Symmetric and antisymmetric (where the only way a can be related to b and b be related to a is if.

names include the permutation symbol, antisymmetric symbol, or alternating symbol, which refer to its antisymmetric property and definition in terms of.

symmetry is of central importance, these operations are mostly called antisymmetric operations, and are extended in an associative setting to cover more.

the symmetric part of the bilinear form B and is independent of the antisymmetric part.

words, more than one identical particle cannot occupy an antisymmetric state (one antisymmetric state can be occupied only by one particle).

A complex skew-Hermitian form (also called an antisymmetric sesquilinear form), is a complex sesquilinear form s : V × V → C such.

two identical particles, the total (many-particle) wave function is antisymmetric for fermions, and symmetric for bosons.

those that are symmetric, transitive, and antisymmetric, and those that are total, transitive, and antisymmetric.

For example, ≥ is an antisymmetric relation; so is >, but vacuously.

Then either n is evenly even (a multiple of 4), and S is antisymmetric (as is the normalized C if its first row is negated), or n is oddly.

relation that is reflexive (each element is comparable to itself), antisymmetric (no two different elements precede each other), and transitive (the.

contraction with another set of indices when the expression is completely antisymmetric in each of the two sets of indices: A | α β γ | ⋯ B α β γ ⋯ = A α β.

(the Hilbert space completion of) the direct sum of the symmetric or antisymmetric tensors in the tensor powers of a single-particle Hilbert space H, F.