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Defining a custom Leibnitz operator in Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg92312] Defining a custom Leibnitz operator in Mathematica
• From: GidiL <gidienator at gmail.com>
• Date: Sat, 27 Sep 2008 22:18:36 -0400 (EDT)

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



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