Results 1 to 3 of 3

Math Help - Quick Periodic Extension Question

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    32

    Quick Periodic Extension Question

    If you were asked to do a periodic extension of a function and to increase the period, would you stretch the parameters out?

    For example:
    f(x)=\left\{\begin{array}{cc}x^2,&\mbox{ if }<br />
[0,1)\\2-x, & \mbox{ if } [1,2]\end{array}\right.

    If were told to do a periodic extension, but change the period from 2 to 4, how would I go about doing this? Would I change the first interval from [0,1) to [0,2)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member DeMath's Avatar
    Joined
    Nov 2008
    From
    Moscow
    Posts
    473
    Thanks
    5
    Quote Originally Posted by BlackBlaze View Post
    If you were asked to do a periodic extension of a function and to increase the period, would you stretch the parameters out?

    For example:
    f(x)=\left\{\begin{array}{cc}x^2,&\mbox{ if }<br />
[0,1)\\2-x, & \mbox{ if } [1,2]\end{array}\right.

    If were told to do a periodic extension, but change the period from 2 to 4, how would I go about doing this? Would I change the first interval from [0,1) to [0,2)?
    Look closely this picture.



    I think that is understandable.

    In the general case (on the real line) for your function k \in \mathbb{Z}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2009
    Posts
    32
    Wait.
    Wait, wait, wait, wait.

    ...Nope, I lost it. Forgive me, I guess I'm not that bright. I see you were able to make a simple periodic extension of my function, but I do not understand how the k plays a part. Am I to extend function so that when k = 0, f(x) can go across 0->4?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Prove that an extension is a continuous extension
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: August 12th 2011, 06:50 AM
  2. a question on field extension
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 19th 2011, 04:07 PM
  3. Replies: 0
    Last Post: September 12th 2010, 01:51 PM
  4. normal extension of the rationals - quick questions
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 22nd 2009, 02:30 PM
  5. field extension question
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: September 19th 2008, 10:52 AM

Search Tags


/mathhelpforum @mathhelpforum