Re: Dirac Delta Function

• To: mathgroup at smc.vnet.net
• Subject: [mg4110] Re: Dirac Delta Function
• From: ianc (Ian Collier)
• Date: Wed, 5 Jun 1996 01:36:56 -0400
• Organization: Wolfram Research, Inc.
• Sender: owner-wri-mathgroup at wolfram.com

```In article <4ojdr2\$5i8 at dragonfly.wolfram.com>,
jslater at valhalla.cs.wright.edu (Joseph C. Slater) wrote:

> Is there a way to incorporate the Dirca Delta function into Mathematica?
> I'd like to have a function like f=Dirac[t]+Dirac[t-1]
>
> such that
> Integrate[t f,{t,-1,2}]
> Yields 1.
>
> JS
>
> --

DiracDelta, which is defined in Calculus`DiracDelta` one of
the standard packages distributed with every copy of Mathematica,
does exactly what you want. Here is an example:

In[3]:=
Needs[ "Calculus`DiracDelta`" ]

In[4]:=
f=DiracDelta[t]+DiracDelta[t-1]
Out[4]=
DiracDelta[-1 + t] + DiracDelta[t]

In[5]:=
Integrate[t f,{t,-1,2}]
Out[5]=
1

Calculus`DiracDelta` is documented on pages 18-21 of "The Guide to
Standard Mathematica Packages" Technical Report.

I hope this helps.

--Ian

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Ian Collier
Wolfram Research, Inc.
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tel:(217) 398-0700   fax:(217) 398-0747    ianc at wolfram.com
Wolfram Research Home Page:         http://www.wolfram.com/
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