Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Changing periods. Very confusing

  1. Nov 24, 2006 #1
    This is driving me nuts:

    How do you show that that's true?!? How do you prove it? For the life of me I can't see how this holds despite the fact that I've wasted the past two hours working at it. I can't think of a technical explanation for it (a proof) OR an intuitive one... Please help.
  2. jcsd
  3. Nov 24, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    It's simple

    [tex] f\left(\frac{Lt}{\pi}+2L\right)=f\left(\frac{L}{\pi}(t+2\pi)\right)=f\left(\frac{L}{\pi}t\right) [/tex]

    So you can see very clearly that if you denote by

    [tex] g(t)=f\left(\frac{L}{\pi}t\right) [/tex]

    , then g has a period of 2\pi.

  4. Nov 24, 2006 #3

    To prove it just show that g(t) = g(t+2pi) using the definition of g and the properties of f.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Changing periods. Very confusing
  1. Very very very easy (Replies: 6)