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.
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Use the floor function: $\displaystyle R = \left\{ {(x,y):\left\lfloor x \right\rfloor = \left\lfloor y \right\rfloor } \right\}$. You need to supply the details.
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