1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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]).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook