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antisymmetric

   Also found in: Dictionary/thesaurus, Wikipedia 0.04 sec.
(mathematics)antisymmetric - A relation R is antisymmetric if,

for all x and y, x R y and y R x => x == y.

I.e. no two different elements are mutually related.

Partial orders and total orders are antisymmetric. If R is also symmetric, i.e.

x R y => y R x

then

x R y => x == y

I.e. different elements are not related.


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1] from Si-O-Si antisymmetric stretches, the shoulder at 1700 [cm.
Chemistry of silanes: interfaces in dental polymers and composites (1) by McDonough, Walter G. / Journal of Research of the National Institute of Standards and Technology
Thermal postbuckling of antisymmetric angle-ply laminated plates.
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There is also a restriction on the permissible quantum numbers due to the homonuclear nature of the dimer since the basis states must be antisymmetric with respect to exchange of the two nuclei.
A spectroscopic determination of scattering lengths for sodium atom ... by Phillips, William D. / Journal of Research of the National Institute of Standards and Technology
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