Am 02.11.2014 um 05:22 schrieb Richard Fateman:

  Or they count "a serious mistake on the
determinant operation" as not important.

Determinants where the entries are exact integers of extremely many digits
may not be terribly important.  What do you think?

It was important enough that they changed the algorithm two versions ago - the version before that does not have the bug.

Worst news - there is an inevitable vendor lock-in.  You can't give
your money someone else (but only single "group of experts", mostly
anonymous for you) to fix the issue.

You can form a union of concerned users,  e.g. IBM had SHARE.

AFAIK Wolfram has that, it's a community that you pay for to enter.
In other words, you pay Wolfram to take some load off their support team - I find that a bit ridiculous, but if it works for them, ah well.

That;s good.  Mathematica, Maple, and Maxima (unless you set a flag) all
shared
the same defect.

Do you have a reference for that?
The paper said that Maple did not have this particular problem (but that it shared some integral problems with Mathematica), so I'm puzzled whether additional information has become available.

Michael Karr?  Who named it the Karr convention?   K.F. Gauss?

A bit of googling found me http://docs.sympy.org/dev/modules/concrete.html , which gives this reference:

Michael Karr, “Summation in Finite Terms”, Journal of the ACM, Volume 28 Issue 2, April 1981, Pages 305-350 http://dl.acm.org/citation.cfm?doid=322248.322255

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