Results 1 to 2 of 2

Math Help - delta function

  1. #1
    Newbie
    Joined
    Jan 2009
    Posts
    4

    delta function

    Hi,

    so i am having trouble expressing the function delta(X^2-a^2) as a sum of delta functions.....?

    thanks.

    so far i have something which includes my test function multiplied by the delta function?? is that right at all?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by pepe View Post
    Hi,

    so i am having trouble expressing the function delta(X^2-a^2) as a sum of delta functions.....?

    thanks.

    so far i have something which includes my test function multiplied by the delta function?? is that right at all?
    Let f(x) = x^2 - a^2 then f'(x) = 2x.
    Now the zeros are: -a,a, assuming a\not = 0.

    Thus, \delta (f(x)) = \frac{\delta(x+a)}{|f'(-a)|} + \frac{\delta(x-a)}{|f'(a)| } = \frac{1}{2|a|} \left[ \delta(x+a) + \delta (x-a) \right]
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Delta Function Well
    Posted in the Advanced Applied Math Forum
    Replies: 9
    Last Post: December 6th 2010, 04:48 AM
  2. Replies: 4
    Last Post: October 27th 2010, 05:41 AM
  3. Replies: 0
    Last Post: October 27th 2009, 07:06 AM
  4. Delta Function
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: October 11th 2009, 04:51 PM
  5. LTI and delta function
    Posted in the Math Software Forum
    Replies: 0
    Last Post: May 31st 2009, 01:20 PM

Search Tags


/mathhelpforum @mathhelpforum