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What does antisymmetric mean?

Looking for the meaning or definition of the word antisymmetric? Here's what it means.

Adjective
  1. (set theory) 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.
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That is to say, the wavefunction is antisymmetric under exchange of two particles.
Prediction and measurement of nonpropagating Lamb modes at the free end of a plate when the fundamental antisymmetric mode is incident.
In the particular case of the square of a Schur function Si, it allows to descriminate in a very natural way between the symmetric and antisymmetric parts of the square.
The matrix S has a 2 x 2 block structure, where the diagonal blocks are symmetric and the off-diagonal blocks are antisymmetric.
Particles such as electrons and protons, according to a hypothesis proposed by Enrico Fermi and P. A. M. Dirac, must have antisymmetric wave functions.
M is antisymmetric if M plus its transpose is zero matrix.

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