Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
1996
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 1996

[Date Index] [Thread Index] [Author Index]

Search the Archive

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

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

==== [MESSAGE SEPARATOR] ====


  • Prev by Date: Re: Please Help
  • Next by Date: Re: Error Tracing - NDSolve
  • Previous by thread: Re: Please Help
  • Next by thread: Re: Dirac Delta Function