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Piecewise smooth functions

  1. Apr 14, 2009 #1
    I'm trying to find a Fourier series for exp(-ax) where a is a positive constant. How is exp(-ax) piecewise smooth?
     
  2. jcsd
  3. Apr 14, 2009 #2

    CompuChip

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    It is piecewise smooth in one big piece :smile:

    If you take piecewise smooth to mean: smooth in all but finitely many points, it satisfies the definition because the number of points in which it is not smooth is zero ([itex]< \infty[/itex]).
     
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