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Thread: Lipschitz Function

  1. September 24th 2008, 08:28 PM #1
    rufioxxpunkie
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    Unhappy Lipschitz Function

    So my prof asked us to prove that f(x)=x2 is Lipschitz on the interval [-N, N] but didn't explain what that even means. Help!
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  2. September 24th 2008, 09:08 PM #2
    ThePerfectHacker
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    Quote Originally Posted by rufioxxpunkie View Post
    So my prof asked us to prove that f(x)=x2 is Lipschitz on the interval [-N, N] but didn't explain what that even means. Help!
    You need to show |f(x)-f(y)| \leq K|x-y| for some K.
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