- To: mathgroup at smc.vnet.net
- Subject: [mg58273] Re: Documentation
- From: Daniel Lichtblau <danl at wolfram.com>
- Date: Sat, 25 Jun 2005 01:56:33 -0400 (EDT)
- References: <200506240649.CAA29400@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Andrzej Kozlowski wrote:
> I guess I have been rather slow but I am gradually coming round to
> the view that Mathematica's documentation leaves something to be
> desired. For example:
> CoefficientDomain is an option for GroebnerBasis and
> PolynomialReduce. Valid
> choices are Integers, Rationals, RationalFunctions, or Polynomials[var].
> InexactNumbers is a setting for the CoefficientDomain option of
> and PolynomialReduce.
> InexactNumbers are mentioned in the main documentation:
> Possible settings for CoefficientDomain are InexactNumbers,
> Rationals, RationalFunctions and Polynomials[x].
> but this is still quite hopeless as documentation as there is nothing
> to tell the user that the proper usage is:
> GroebnerBasis[polys, vars, CoefficientDomain -> InexactNumbers[n]]
> where n is precision.
Actually CoefficientDomain->InexactNumbers should work, using a default
of 100 digits (I think). The fact that InexactNumbers[n] is undocumented
is an artifact of development history. GroebnerBasis with inexact
numbers was developed for version 3, and the use of specified precision
came in version 4 as part of NSolve overhaul.
I'll forward this to the documentation folks to see if it can be updated.
> No wonder that I am yet to meet a person that has heard of numerical
> Groebner basis in Mathematica never mind anyone actually using it.
Presumably you mean "non-WRI employees". It gets used here a bit.
> Andrzej Kozlowski
> Chiba, Japan
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