Thursday, December 25, 2008

Equivalence class

Let R be an equivalence relation for the set A. For any x that is an element of A the equivalence class of x is defined by y being an element in A and x being reflexive on y.

Example:

The Relation R is composed of the following set:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

the equivalence class is as follows:

{{1,2},{3}}

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