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MathGroup Archive 2002

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Re: Simple integral problem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32697] Re: Simple integral problem
  • From: kkumer at phy.hr (Kresimir Kumericki)
  • Date: Thu, 7 Feb 2002 05:09:20 -0500 (EST)
  • Organization: Theor.Phys.Dept, Univ. of Zagreb, Croatia
  • References: <a3qr0b$28q$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Rolf Mertig <rolf at mertig.com> wrote:
> wasn't it Lenin who said "Trust is good, control is better"?

 Ah, those philosophers of old times! They knew.

> Long years ago I made a large table of integrals similar to yours.

 And for a similar purpose, I presume. I need these for Feynman diagrams
calculation in particle physics. BTW, I'm already using your FeynCalc
package for checking my calculations but mostly for the Dirac algebra.
I haven't used this Integrate2[] as yet, since I thought that the main
advantage with respect to Integrate[] would be speed and this is not an
issue in my small calculations.
  Thanks for drawing my attention to it, and thanks to other guys who
responded for their thoughts.

> you don´t have to rely on functions like Integrate which are tremendously
> difficult to have bug-free. But the the pattern matcher and the programming
> language are rather bug-free ...

 I certainly agree with you here that pattern matching algorithms are
easier to do bug-free. In fact, since computer memory and storage space
is so cheap these days, and if integration algorithms are so difficult
as you say, probably the people in Wolfram Research should also implement
integration through a large lookup table.
  On the other hand, I really cannot believe that this bug I discovered
is so hard to avoid. If it is, then this should be stated on the very
first page of the Mathematica book. I am disappointed that I cannot trust
Mathematica with such a simple integral.

-- 
Kresimir Kumericki    kkumer at phy.hr    http://www.phy.hr/~kkumer/
"Fizika svemira" - http://eskola.hfd.hr/fizika_svemira/svemir.html


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