Difference between revisions of "Vector-space"

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== Abstract ==
 
== Abstract ==
   
'''vector-space''' is library that 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.
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'''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).
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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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The representation of linear maps uses [[MemoTrie]].
Besides this wiki page, here are more ways to find out about vector-space:
 
* Read [http://code.haskell.org/vector-space/doc/html/ the library documentation].
 
* Get the code repository: '''<tt>darcs get http://code.haskell.org/vector-space</tt>'''.
 
* Install from [http://hackage.haskell.org Hackage].
 
* See the [[vector-space/Versions| version history]].
 
   
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''Warning'': Starting with version 0.3, this package depends on type families working fairly well, and requires ghc version at least 6.9.
Please leave comments at the [[Talk:vector-space|Talk page]].
 
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Version 0.5 requires ghc 6.10 or better.
   
 
Besides this wiki page, here are more ways to find out about vector-space:
'''Oops''' - there's a serious mistake in the derivatives code. I'm working on a solution. [[User:Conal|Conal]] 18:13, 19 May 2008 (UTC)
 
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* 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>.
 
* Get the code repository: <tt>darcs get http://code.haskell.org/vector-space</tt>.
 
<!-- * 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].
   
== See also ==
 
   
 
Please leave comments at the [[Talk:vector-space|Talk page]].
* [[Linear algebra]]
 
* [[Mathematical prelude discussion]]
 

Latest revision as of 08:45, 12 March 2011


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:


Please leave comments at the Talk page.