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Math Help - Equivalence Relation

  1. #1
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    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.
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  2. #2
    MHF Contributor

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    Use the floor function: 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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