# Mathematical prelude discussion

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== Libraries and proposals == | == Libraries and proposals == | ||

− | === Numeric | + | === [[Numeric Prelude]] === |

− | + | Working set of common type classes and instances. | |

− | + | ||

=== Basic Algebra Library (BAL) === | === Basic Algebra Library (BAL) === | ||

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:[http://www.botik.ru/pub/local/Mechveliani/basAlgPropos/ www.botik.ru/pub/local/Mechveliani/basAlgPropos/] | :[http://www.botik.ru/pub/local/Mechveliani/basAlgPropos/ www.botik.ru/pub/local/Mechveliani/basAlgPropos/] | ||

:Formerly refered to as "basic algebra proposal". | :Formerly refered to as "basic algebra proposal". | ||

+ | |||

+ | Categorical Approach to representing mathematical structures in Haskell: | ||

+ | [ftp://ftp.botik.ru/pub/local/Mechveliani/docon/] | ||

+ | |||

+ | === Haskell Prime' === | ||

+ | |||

+ | [http://hackage.haskell.org/trac/haskell-prime/wiki/NumericClasses Numeric classes] on the Haskell' wiki | ||

=== See Also === | === See Also === | ||

*[[Libraries_and_tools/Mathematics]] | *[[Libraries_and_tools/Mathematics]] | ||

− | |||

== Discussion == | == 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.'' | ||

[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] | + | * Discussion 2010-04 in Haskell-Cafe on [http://www.haskell.org/pipermail/haskell-cafe/2010-April/075989.html Google-Summer-of-Code proposal for richer numerical type classes and supporting algorithms] |

+ | |||

+ | * [http://lambda-the-ultimate.org/node/1655#comment-20299 LtU thread 1655] | ||

+ | |||

+ | * [http://www.axiom-developer.org/ Aldor/Axiom] may be a place to look for a good type class hierarchy | ||

+ | |||

+ | * [http://www.elementsofprogramming.com/eop-concepts.pdf Elements of Programming], Chapter 5 | ||

[[Category:Mathematics]] | [[Category:Mathematics]] |

## Latest revision as of 13:31, 4 October 2011

## Contents |

## [edit] 1 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.

## [edit] 2 Todo

- Flesh out list of proposals. First from Libraries_and_tools/Mathematics.
- Add links to discussions in list archive, and elsewhere.

## [edit] 3 Libraries and proposals

### [edit] 3.1 Numeric Prelude

Working set of common type classes and instances.

### [edit] 3.2 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]

### [edit] 3.3 Haskell Prime'

Numeric classes on the Haskell' wiki

### [edit] 3.4 See Also

## [edit] 4 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)

- Discussion 2010-04 in Haskell-Cafe on Google-Summer-of-Code proposal for richer numerical type classes and supporting algorithms

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

- Elements of Programming, Chapter 5