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Isometry on metric

  1. Dec 1, 2007 #1
    How do I prove every isometry from R->R is of the form f(x)=a+-x , regardless of the metric?

    I know it has to do with considering d_1(0,x_1)=d_2(0, f(x_1)), but beyond that I am lost.
     
  2. jcsd
  3. Dec 2, 2007 #2

    HallsofIvy

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    Start by writing out the definition of "isometry"!
     
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