[Axiom-developer] [RealNumbers]

2005-06-14 Thread Bill Page
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- ??changed: -See: http://encyclopedia.laborlawtalk.com/Real_number See: http://en.wikipedia.org/wiki/Real_number ??changed: -See: http://encyclopedia.laborlawtalk.com/Computable_number See: http://en.wikipedia.org/wiki/Com

[Axiom-developer] [RealNumbers] real references

2005-06-14 Thread wyscc
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- ++added: >From wyscc Wed Jun 15 01:36:00 -4:00 Bill, thanks for creating this page. I enjoyed reading the links and was wondering how a site on labor laws need to know the foundations of mathematics. Actually, they ga

[Axiom-developer] RE: XML

2005-06-14 Thread Page, Bill
On Tuesday, June 14, 2005 11:52 PM Tim Daly wrote: > > > \spadcommand{x:=2}\bound{x} > > > \spadcommand{y:=3}\bound{y} > > > \spadcommand{x*y}\free{x}\free{y} > > > > > > clicking on the third expression tells the browser that it needs to > > > find a meaning for x and a meaning for y somewhere

[Axiom-developer] RE: XML

2005-06-14 Thread Page, Bill
On Wednesday, June 15, 2005 12:01 AM Tim Daly wrote: > > {x:=2} > {y:=3} > {x*y} > > requires a huge program to parse (DOM or SAX, callbacks) vs No. This syntax can be easily described as a regular expression that in principle requires nothing more complex than a simple finite state machine to

[Axiom-developer] Real Numbers

2005-06-14 Thread daly
see http://cch.loria.fr/documentation/IEEE754 in particular see William Kahan and IEEE 754. William (Velvel aka Wolf) Kahan is the curmudgeon of floating point "real" numbers. t ___ Axiom-developer mailing list Axiom-developer@nongnu.org http://lists

[Axiom-developer] [RealNumbers]

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- ??changed: - Computable Numbers In mathematics, theoretical computer science and mathematical logic, the computable numbers, also known as the recursive numbers, are the subset of the real numbers consisting of the numb

[Axiom-developer] Mathematics Subject Classification

2005-06-14 Thread daly
There is a mathematics subject classification scheme list at http://www.ams.org/msc and it appears to be used at http://www.math-atlas.org An interesting project would be to classify Axiom's math algorithms relative to this scheme. t ___ Axiom-develo

[Axiom-developer] [RealNumbers]

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- ++added: Real Numbers In mathematics, the real numbers are intuitively defined as numbers that are in one-to-one correspondence with the points on an infinite line—the number line. The term "real number" is a retronym c

[Axiom-developer] [mathematical algorithms] (new)

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/MathematicalAlgorithms/diff -- Computer algebra systems like Axiom implement a very large number of [mathematical algorithms]. By that we mean: _math·e·mat·i·cal (măth'ə-măt'ĭ-kəl)_ adj. 1 Of or relating to mathematics. 2 Meaning a Pre

[Axiom-developer] [mathematical algorithms]

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/MathematicalAlgorithms/diff -- ??changed: -_math·e·mat·i·cal (măth'ə-măt'ĭ-kəl)_ - -adj. math·e·mat·i·cal (măth'ə-măt'ĭ-kəl) adj. ??changed: -_al·go·rithm (ăl'gə-rĭTH'əm)_ - -n. al·go·rithm (ăl'gə-rĭTH'əm) n. -- forwarded from http:/

[Axiom-developer] [RealNumbers]

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- ++added: This subject was discussed in issue #167 Infinite Floats Domain -- forwarded from http://page.axiom-developer.org/zope/mathaction/[EMAIL PROTECTED] ___ Axiom-develo

[Axiom-developer] [RealNumbers] (new)

2005-06-14 Thread Bill Page
Changes http://page.axiom-developer.org/zope/mathaction/RealNumbers/diff -- Axiom implements the number domains Integer, Float and even Fraction(Integer) i.e. rational numbers, but it does not implement anything called Real numbers. *Why is that?* -- forwarded from http://page.axiom-developer.org/

[Axiom-developer] [FrontPage]

2005-06-14 Thread billpage
Changes http://page.axiom-developer.org/zope/mathaction/FrontPage/diff -- ??changed: - research and development of mathematical algorithms. The [Axiom Language] research and development of [mathematical algorithms]. The [Axiom Language] -- forwarded from http://page.axiom-developer.org/zope/ma

[Axiom-developer] XML

2005-06-14 Thread daly
> > \spadcommand{x:=2}\bound{x} > > \spadcommand{y:=3}\bound{y} > > \spadcommand{x*y}\free{x}\free{y} > > > > clicking on the third expression tells the browser that it needs to > > find a meaning for x and a meaning for y somewhere prior in the page. > > these are determined by the \bound expre

[Axiom-developer] XML

2005-06-14 Thread daly
{x:=2} {y:=3} {x*y} requires a huge program to parse (DOM or SAX, callbacks) vs (spadcommand "x:=2" (bound 'x)) (spadcommand "y:=3" (bound 'y)) (spadcommand "x*y" (free '(x y))) requires (read) to parse and (eval (read)) to execute. (defun spadcommand (expr bindings) (when (eq (car bindings)

[Axiom-developer] [#167 Infinite Floats Domain] Continued on another page see RealNumbers

2005-06-14 Thread Bill Page
Changes http://page.axiom-developer.org/zope/mathaction/167InfiniteFloatsDomain/diff -- William, thank you very much for your comments on this issue. Your presentation above is very instructive and useful to me. I agree completely with your statements about the relevance of > infinite sequences o

[Axiom-developer] [#167 Infinite Floats Domain] Continued on another page see RealNumbers

2005-06-14 Thread Bill Page
Changes http://page.axiom-developer.org/zope/mathaction/167InfiniteFloatsDomain/diff -- ??changed: -In fact I think this subject, on the boarder between symbolic In fact I think this subject, on the border between symbolic -- forwarded from http://page.axiom-developer.org/zope/mathaction/[EMAIL

[Axiom-developer] RE: XML

2005-06-14 Thread Page, Bill
On Tuesday, June 14, 2005 9:54 PM Tim Daly wrote: > having lost a year of my life working with XML, XSLT, DOM, SAX, > JDOM, etc. i can honestly say that i'm religiously opposed to XML. > > you're welcome to try to convince me otherwise but i warn you that > it is a hard fight as i have a lot of re

[Axiom-developer] XML

2005-06-14 Thread daly
having lost a year of my life working with XML, XSLT, DOM, SAX, JDOM, etc. i can honestly say that i'm religiously opposed to XML. you're welcome to try to convince me otherwise but i warn you that it is a hard fight as i have a lot of really bad war stories. XML is a dead-end technology. it is th

[Axiom-developer] [#167 Infinite Floats Domain] Float, Real, RealClosure

2005-06-14 Thread wyscc
Changes http://page.axiom-developer.org/zope/mathaction/167InfiniteFloatsDomain/diff -- ++added: >From William Sit, Tuesday June 14 20:06:00 -4:00 Subject: Float, Real, RealClosure Tim wrote: >This raises the same kind of implementation issue that indefinite computation >raises except that i

[Axiom-developer] [Enhanced Fraction Domain] Update gcl.patch

2005-06-14 Thread unknown
Changes http://page.axiom-developer.org/zope/mathaction/EnhancedFractionDomain/diff -- This is correct -- equivalent being committed to CVS head. Take care, Camm Maguire[EMAIL PROTECTED] ==