# Vector-space

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== Abstract == |
== Abstract == |
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− | '''vector-space''' is library that provides provides classes and generic operations for vector spaces and affine spaces. It also defines a type of infinite towers of generalized derivatives. A generalized derivative is a linear transformation rather than one of the usual concrete representations (scalars, vectors, matrices, ...). See the [http://conal.net/blog/tag/derivatives/ related posts] for more info about this notion of derivatives. |
+ | '''vector-space''' is library that provides classes and generic operations for additive groups, vector spaces and affine spaces. There are also vector space bases and a general notion of linear maps (linear transformations). |

+ | The library also defines a type of infinite towers of generalized derivatives. |
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+ | A generalized derivative is a linear map rather than one of the usual concrete representations (scalars, vectors, matrices, ...). |
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− | Besides this wiki page, here are more ways to find out about vector-space: |
+ | The representation of linear maps uses [[MemoTrie]]. |

− | * Read [http://code.haskell.org/vector-space/doc/html/ the library documentation]. |
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− | * Get the code repository: '''<tt>darcs get http://code.haskell.org/vector-space</tt>'''. |
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− | * Install from [http://hackage.haskell.org/cgi-bin/hackage-scripts/package/vector-space Hackage]. |
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− | * See the [[vector-space/Versions| version history]]. |
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− | Please leave comments at the [[Talk:vector-space|Talk page]]. |
+ | ''Warning'': Starting with version 0.3, this package depends on type families working fairly well, and requires ghc version at least 6.9. |

+ | Version 0.5 requires ghc 6.10 or better. |
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− | == See also == |
+ | Besides this wiki page, here are more ways to find out about vector-space: |

+ | * Visit the [http://hackage.haskell.org/cgi-bin/hackage-scripts/package/vector-space Hackage page] for library documentation and to download & install. |
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+ | * Or install with <tt>cabal install vector-space</tt>. |
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+ | * Get the code repository: <tt>darcs get http://code.haskell.org/vector-space</tt>. |
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+ | <!-- * See the [[vector-space/Versions| version history]]. --> |
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+ | * Some blog posts on [http://conal.net/blog/tag/vector-space/ vector spaces], [http://conal.net/blog/tag/linear-map/ linear maps], and [http://conal.net/blog/tag/derivatives/ derivative]. |
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− | * [[Linear algebra]] |
+ | |

− | * [[Mathematical prelude discussion]] |
+ | Please leave comments at the [[Talk:vector-space|Talk page]]. |

## Latest revision as of 08:45, 12 March 2011

## [edit] Abstract

**vector-space** is library that provides classes and generic operations for additive groups, vector spaces and affine spaces. There are also vector space bases and a general notion of linear maps (linear transformations).
The library also defines a type of infinite towers of generalized derivatives.
A generalized derivative is a linear map rather than one of the usual concrete representations (scalars, vectors, matrices, ...).

The representation of linear maps uses MemoTrie.

*Warning*: Starting with version 0.3, this package depends on type families working fairly well, and requires ghc version at least 6.9.
Version 0.5 requires ghc 6.10 or better.

Besides this wiki page, here are more ways to find out about vector-space:

- Visit the Hackage page for library documentation and to download & install.
- Or install with
`cabal install vector-space`. - Get the code repository:
`darcs get http://code.haskell.org/vector-space`. - Some blog posts on vector spaces, linear maps, and derivative.

Please leave comments at the Talk page.