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Re: hadamard finite part

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67986] Re: hadamard finite part
  • From: Rolf.Mertig at gmail.com
  • Date: Thu, 20 Jul 2006 06:04:20 -0400 (EDT)
  • References: <e9ibvc$52e$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,
not quite as general as you may need it, but Hadamard integration is
used
in Quantum Field Theory a lot since a long time and implemented e.g.
in FeynCalc ( for Feynman integrals), see:
http://www.feyncalc.org/FeynCalcBook/Integrate2
http://www.feyncalc.org/FeynCalcBook/Integrate3
http://www.feyncalc.org/FeynCalcBook/PlusDistribution

All this is rather basically programmed as a smart table-lookup.
Just look at the source code.
I tried once to implement more of distribution theory, but it is tricky
and I found
Mathematica extremely well-suited for
table-lookup-algorithm-implementation.
I.e., you work out what you want, calculate the basic building blocks
once (by hand etc.)
and let Mathematica just do the algebra but not the complicated
mathematics.

Regards,

Rolf Mertig
GluonVision GmbH, Berlin, Mathematica training & consulting
http://www.gluonvision.com


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