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# Partial order and equivalence relations

Posted on 2011-09-28

Hi guys: Can any one please tell me with example the difference between both of them Thanks.

A relation R on a set S is an equivalence relations if it satisfied all three of the following properties.

1. Reflexivity. For any a belongs S, a R a.

2. Symmetry. For any a, b belongs to S, a R b <--> b R a.

3. Transitivity. For any a,b, c belongs to S, if a R b and b R c, then a R c.

In other words. an equivalence relation is a relation that is reflexive, symmentric, and transitive.