Question: DiracDelta simplifies/integrates incorrectly?
- To: mathgroup at smc.vnet.net
- Subject: [mg65132] Question: DiracDelta simplifies/integrates incorrectly?
- From: John Harker <harker at me.rochester.edu>
- Date: Wed, 15 Mar 2006 06:29:26 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I have a question regarding the behavior of the DiracDelta function in
The following two inputs produce the following results:
\[Pi] DiracDelta[\[Pi] (-3+x)]
As you can see, although the Pi is correctly simplified out in the first
case, it is not simplified in the second case. This is a problem because
of the following result:
As you can see, the output  is correct, but the output  should
correctly be f, and instead it returns 0.
Is there a flaw in my understanding of the DiracDelta function, or is this
All of the above poses a problem because Mathematica will return results
such as the following:
\[Pi] DiracDelta[(-3+f) \[Pi]]
So you see that just by asking for a simple Fourier transform, I can get
an output result which Mathematica cannot integrate correctly.
Does anyone have any ideas about a better way to perform this math
in order to get around the problem? Or something illuminating about how
the DiracDelta function works?
Prev by Date:
Re: laplace transform
Next by Date:
RE: Behaviour of FindRoot
Previous by thread:
Re: Errors at discontinuities
Next by thread:
Re: Question: DiracDelta simplifies/integrates incorrectly?