# equivalence relation

Syllabification: e·quiv·a·lence re·la·tion

## Definition of equivalence relation in English:

### noun

Mathematics & Logic
A relation between elements of a set that is reflexive, symmetric, and transitive. It thus defines exclusive classes whose members bear the relation to each other and not to those in other classes (e.g., “having the same value of a measured property”).
Example sentences
• We are almost ready to define an equivalence relation between hyperreal numbers.
• In The classification of prime-power groups Hall introduces an equivalence relation called isoclinism to aid the classification of prime power groups.
• You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.

## Definition of equivalence relation in:

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= trending

## More on equivalence relation

### More words in this category

adjunction bind Boole, George causal contention
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Pronunciation: rəˈzilyənt