# equivalence relation

- a relation that is reflexive, symmetrical, and transitive, as equality.

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## Origin of equivalence relation^{}

First recorded in 1945–50

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## equivalence relation

- logic maths a relation that is reflexive, symmetric, and transitive: it imposes a partition on its domain of definition so that two elements belong to the same subset if and only if the relation holds between them

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