1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Help with proof for Dirca Delta Relation

  1. Oct 2, 2006 #1
    I cannot think of how to go about proving this relationship and was wondering if any of you could help me


    [tex]</font>\\int^{\\infty}_{-\\infty} f(x) \\delta \\left( g \\left( x \\right) \\right) dx = \\int^{\\infty}_{-\\infty} f(x) \\sum_{i} \\frac{\\delta \\left( x - x_{i} \\right)}{\\left| g' \\left( x_{i} \\right) \\right|} dx,<font color=red>[/tex]

    Thanks
    Tom
     
  2. jcsd
  3. Oct 2, 2006 #2
    I am not too good with this latex stuff so let me try again...

    [tex]\\int^{\\infty}_{-\\infty} f(x) \\delta \\left( g \\left( x \\right) \\right) dx = \\int^{\\infty}_{-\\infty} f(x) \\sum_{i} \\frac{\\delta \\left( x - x_{i} \\right)}{\\left| g' \\left( x_{i} \\right) \\right|} dx[/tex]
     
  4. Oct 2, 2006 #3
  5. Oct 2, 2006 #4
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...
Similar Threads for Help proof Dirca Date
I Need help with inequality proof Mar 22, 2018
I Help with proofs in general May 12, 2016
B Need help with algebra in proving kinetic energy is not conserved Mar 23, 2016
Proof help? Dec 30, 2014
Help with the proof May 24, 2013