antisymmetry

Noun

Meaning

(mathematics) The condition of being antisymmetric.

(linguistics) A theory of syntactic linearization, proposing that hierarchical structure in natural language maps universally onto a particular surface linearization, namely specifier-head-complement branching order.

Examples

Any one-dimensional Lie algebra over a field is abelian, by the antisymmetry of the Lie bracket. Source: Internet

In this case, the exchange of the two nucleons will multiply the deuterium wavefunction by (−1) from isospin exchange, (+1) from spin exchange and (+1) from parity (location exchange), for a total of (−1) as needed for antisymmetry. Source: Internet

Fermions and bosons The choice of symmetry or antisymmetry is determined by the species of particle. Source: Internet

Ordering them by absolute magnitude yields a preorder in which all pairs are comparable, but this is not a partial order since 1 and i have the same absolute magnitude but are not equal, violating antisymmetry. Source: Internet

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