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equivalence relation
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equivalence relation
noun Mathematics.
a relation that is reflexive, symmetrical, and transitive, as equality.
Origin:
1945–50
1945–50
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
Cite This Source
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Equivalence_relation
is always a great word to know.
So is pi. Does it mean:
| a function having the dependent variable expressed directly in terms of the independent variables, such as y = 3x + 4 |
| the letter used as the symbol for the ratio of the circumference of a circle to its diameter, or the ratio itself: 3.141592+ |
Collins
World English Dictionary
| equivalence relation | |
| —n | |
| 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 | |
Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source
FOLDOC
Computing Dictionary
equivalence relation definition
mathematicsA 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)
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