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Dictionary.com Unabridged (v 1.1) Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.

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Equivalence relation

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equivalence relation   n.   A reflexive, symmetric, and transitive relationship between elements of a set, such as congruence for the set of all triangles in a plane.

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The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2006 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.

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equivalence relation mathematics
A relation R on a set including elements a, b, c, which is reflexive (a R a), symmetric (a R b => b R a) and transitive (a R b R c => a R c). An equivalence relation defines an equivalence class.
See also partial equivalence relation.
(1996-05-13)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe

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