# Equivalence Relation

• February 1st 2009, 11:18 AM
hayter221
Equivalence Relation
Here is my problem: Define an equivalence relation on the set R that partitions the real line into subsets of length 1.

I don't know what this means.
• February 1st 2009, 12:49 PM
Plato
Use the floor function: $R = \left\{ {(x,y):\left\lfloor x \right\rfloor = \left\lfloor y \right\rfloor } \right\}$.
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