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Translations for „equivalence relation“ in the English » Arabic Dictionary (Go to Arabic » English)

equivalence relation COMPUT

Monolingual examples (not verified by PONS Editors)

English
Let be the quotient of by the equivalence relation.
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Because elementary row operations are reversible, row equivalence is an equivalence relation.
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In order to get the notion of an equivalence relation we need to make the construction symmetric and show that it is also transitive.
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It is also the only relation that is both a partial order and an equivalence relation.
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The relation of having the same cardinality is called equinumerosity, and this is an equivalence relation on the class of all sets.
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This notion of sameness is often formalized using an equivalence relation.
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It is easily shown that this is an equivalence relation.
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A precongruence which is also symmetric (i.e. is an equivalence relation) is a congruence relation.
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