Difference between revisions of "Mathematical prelude discussion"

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[http://magma.maths.usyd.edu.au/magma/htmlhelp/MAGMA.htm MAGMA] is an example of a language which embraced mathematical structure. [[User:MitchellNCharity|MitchellNCharity]] 23:16, 14 November 2006 (UTC)
 
[http://magma.maths.usyd.edu.au/magma/htmlhelp/MAGMA.htm MAGMA] is an example of a language which embraced mathematical structure. [[User:MitchellNCharity|MitchellNCharity]] 23:16, 14 November 2006 (UTC)
   
[http://lambda-the-ultimate.org/node/1655#comment-20299 LtU thread 1655]
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* [http://lambda-the-ultimate.org/node/1655#comment-20299 LtU thread 1655]
   
Aldor/Axiom may be a place to look for a good type class hierarchy
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* [http://www.axiom-developer.org/ Aldor/Axiom] may be a place to look for a good type class hierarchy
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* [http://www.elementsofprogramming.com/eop-concepts.pdf Elements of Programming], Chapter 5
   
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]

Revision as of 22:52, 31 October 2009

Purpose

There have been many ideas for improving the prelude's support for mathematics. Including the addition of algebraic classes. But the discussion is spread over years of list archives and a half dozen websites. And the discussion has never gelled.

This page is intended to collect links to past discussion, and to provide a focal point for advancing the discussion.

Todo

Libraries and proposals

Numeric Prelude

Working set of common type classes and instances.

Basic Algebra Library (BAL)

Is not in community report 2006-06.
0.04/announce.txt (2006-02)
www.botik.ru/pub/local/Mechveliani/basAlgPropos/
Formerly refered to as "basic algebra proposal".

Categorical Approach to representing mathematical structures in Haskell: [1]

Haskell Prime'

Numeric classes on the Haskell' wiki

See Also

Discussion

For me that probably starts with the semigroup/group/ring setup, and good arbitrary-precision as well as approximate linear algebra support.

I agree: semigoups like lattices are everywhere. Then there could be a uniform treatment of linear algebra, polynomial equations, operator algebra, etc.

MAGMA is an example of a language which embraced mathematical structure. MitchellNCharity 23:16, 14 November 2006 (UTC)

  • Aldor/Axiom may be a place to look for a good type class hierarchy