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Re: Seeking Mathematica's faults

  • To: mathgroup at
  • Subject: [mg30766] Re: Seeking Mathematica's faults
  • From: Bruce Atwood <bta at>
  • Date: Sun, 9 Sep 2001 20:42:59 -0400 (EDT)
  • Organization: Concentric Internet Services
  • References: <9ncfkg$prr$>
  • Sender: owner-wri-mathgroup at

Look at the article "Some Divergent Trigonometric Integrals" by Erik Talvila in
The American Mathematical Monthly Vol. 108 No. 5 (may 2001). This article
deserves discussion on this newsgroup. I don't know why I haven't seen any.
It's embarassing when Mathematica gets the wrong answer, but on the other hand
it happens so rarely I guess you can write a journal article about it!

Chris Parson wrote:

> I am in the hunt for any possible flaws in the symbolic computation tools of
> Mathematica version 4.x.  I am only interested in Calculus-related queries,
> i.e. integration/DEs etc, but if anyone has (or knows where I could find) a
> list of mathematical problems to which Mathematica returns incorrect or
> incomplete answers, I would be most grateful.  This includes scenarios where
> necessary side-conditions to Mathematica output are omitted by the system.
> A good example of the kind of thing I am after is Michael Wester's 1995
> paper "A Review of CAS Mathematical Capabilities" (this can be obtained via
> his website at  In it, he writes "it is this
> author's hope that this review will encourage the development of a
> comprehensive CAS test suite".  If such a suite has materialised, I'd like
> to know about it!
> Many thanks,
> Chris Parson
> University of Reading
> England

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