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Re: Defining a custom Leibnitz operator in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg92353] Re: Defining a custom Leibnitz operator in Mathematica
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Sun, 28 Sep 2008 07:22:53 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <gbmphp$htu$1@smc.vnet.net>

GidiL wrote:
> Dear All!
> 
> I would appreciate any input on the following problem.
> 
> I would like to define a custom differential operator with the
> following properties:
> 
> 1. it would be denoted with a customized symbol that I would create
> (e.g. the Greek letter \delta, or any combination, such as \bar
> {\delta});
> 
> 2. it would possess the Leibnitz property of differentiation;
> 
> 3. it would be possible to define its action a priori on certain
> elements (e.g. \delta of a constant would be zero, etc.).
> 
> Any help would be greatly appreciated.
> 
> Thanks,
> 
> Gideon
> 

Hi Gideon,

The following tutorial, "An Example: Defining Your Own Integration 
Function," available online and at

http://reference.wolfram.com/mathematica/tutorial/AnExampleDefiningYourOwnIntegrationFunction.html

should tell you all, assuming your are comfortable enough with pattern 
matching. If more info are needed, see "Patterns" either online or at

http://reference.wolfram.com/mathematica/tutorial/PatternsOverview.html

Regards,
-- Jean-Marc


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