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Question about periodicity?

  1. Nov 11, 2011 #1
    Ok as we know, if f(x+P) = f(x) then the function is periodic.

    So if the function is not periodic, f(x+p) = f(x) is a impossible equation right?
     
    Last edited: Nov 11, 2011
  2. jcsd
  3. Nov 11, 2011 #2

    berkeman

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    Staff: Mentor

    Nope. You forgot something in your first sentence about periodicity...
     
  4. Nov 11, 2011 #3

    HallsofIvy

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    Staff Emeritus
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    If f(x+ p)= f(x) for all x then f is periodic. If f is NOT periodic, then there exist some x f(x+ p) is not the same as f(x). But there still might be many x for which that is true.
     
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