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Is all function a equvalence relation?

  1. Feb 23, 2013 #1
    I know that function is a type of relation. What i acctually need to know is that; Are these relations Equivalent all the times?, or it depends on the types of function?
  2. jcsd
  3. Feb 23, 2013 #2
    Well, what do you think yourself?? Take an arbitrary function such as [itex]f:\mathbb{R}\rightarrow \mathbb{R}x\rightarrow x^2[/itex]. Does this induce an equivalence relation??
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