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antisymmetric |
1 definition found From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: antisymmetricA {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} (x R y => y R x) then x R y => x == y. I.e. different elements are not related. (1995-04-18)