Difference between revisions of "Equivalence class"
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− | Given an [[ | + | Given an [[equivalence relation]] <math>R</math> on a set <math>S</math>, the '''equivalence class''' of an element <math>s \in S</math> is <math>\{ t \in S | R(s, t)\}</math>. |
Latest revision as of 16:18, 21 September 2006
Given an equivalence relation on a set , the equivalence class of an element is .
For example, the relation "equivalence modulo 6" is an equivalence relation on the integers. The equivalence class of 2 under this relation is the set of all those integers which are equivalent to 2, in other words .
Given an equivalence class , an element is said to be a representative of that equivalence class.
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