Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Of a relation R on a set S, having the property that for any two distinct elements of S, at least one is not related to the other via R.

Etymologies

From anti- + symmetric. (Wiktionary)

Examples

  • (A world containing such wonders as Borges's Aleph, where parthood is not antisymmetric, might by contrast be finite and yet atomless.)

    Wild Dreams Of Reality, 3

  • As already mentioned, however, most contemporary authors are inclined to construe the relation of material constitution as a sui generis, non-mereological relation, or else to treat constitution itself as identity (hence, given (16), as a limit case of an antisymmetric parthood relation; see e.g. Noonan 1993).

    Wild Dreams Of Reality, 3

  • Notice that the relation thus defined is asymmetric (rather than antisymmetric): it doesn't permit any object to be existentially dependent upon itself.

    Ontological Dependence

  • The Fock operator (represented as a matrix) also contains some off diagonal elements, corresponding to the fact that you can swap the electrons in any two states without really changing anything (except the overall sign of the wave function), due to the fact that the full multi-electron state must be antisymmetric.

    Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

  • For every equation there is a symmetric or antisymmetric equation that link different phenomena.

    GRAVE OF THE FIREFLIES « FranksFilms

  • However any weighted average of a series of numbers, in which the weights are antisymmetric about the central value, gives an estimate of the trend.

    Southern Ocean Temperature Trends « Climate Audit

  • The control system went into oscillation 37 myr BP when Antarctica started moving into its present position, the temperature of the ocean and that of the rest of the environment opposing each other in antisymmetric mode.

    Inconvenient Graphic « Climate Audit

  • Back to Wikipedia, this time on fermions: Fermions . . . are particles which form totally-antisymmetric composite quantum states.

    Walter Kohn and Density-Functional Theory

  • Fermions have half-integral spin and are described by wavefunctions that are antisymmetric in the exchange of two particles, i.e. the wavefunctions change sign when two particles change places, and they follow what is called

    Additional background material on the Nobel Prize in Physics 1996

  • The two particles that are used in this theoretical exploration are in what Christandl calls an "antisymmetric state."

    PhysOrg.com - latest science and technology news stories

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