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Equivalence relations

  1. Aug 11, 2009 #1
    A relation R on R^2 is defined by [tex](x_{1},y_{1})\mathit{R}(x_{2},y_{2})\;\;\;if\;\;\;x_{1}^{2}+y_{1}^{2}=x_{2}^{2}+y_{2}^{2}[/tex]

    How do you show that R is an equivalance relation?
    Last edited: Aug 11, 2009
  2. jcsd
  3. Aug 11, 2009 #2
    What is the definition of an equivalence relation? (I.e. what properties do equivalence relations have over normal relations?)
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