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Haskell and mathematics. See also the [[Haskell_and_mathematics|Haskell math community]].
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Articles using Haskell for mathematics, and the mathematics of Haskell.
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For further references see the:
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* [[Haskell_and_mathematics|Haskell math community]].
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* [[Blog_articles/Monads|Mathematics of monads]]
   
 
== Haskell for mathematics ==
 
== Haskell for mathematics ==
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* [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
 
* [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
* [http://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory libraries
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* [http://www.polyomino.f2s.com/ Haskell for Maths]: commutative algebra, combinatorics, number theory, and group theory libraries ([http://haskellformaths.blogspot.com/ blog], [http://hackage.haskell.org/package/HaskellForMaths hackage])
 
* [http://sigfpe.blogspot.com/2006/09/learn-maths-with-haskell.html Learn Maths with Haskell]
 
* [http://sigfpe.blogspot.com/2006/09/learn-maths-with-haskell.html Learn Maths with Haskell]
 
* [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought]
 
* [http://blog.mikael.johanssons.org/archive/2006/10/prototyping-thought/ Prototyping thought]
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=== Geometry ===
 
=== Geometry ===
* [http://www.alpheccar.org/en/posts/show/57 Haskell, PDF and penrose tilings]
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* [http://www.alpheccar.org/content/57.html Haskell, PDF and Penrose Tilings]
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* [http://www.kennknowles.com/blog/2007/11/20/visualizing-2d-convex-hull-using-gtk-and-opengl-in-haskell/ Visualizing 2D convex hull using Gtk and OpenGL in Haskell]
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* [http://www.kennknowles.com/blog/2007/12/03/calculating-the-reflect-rotate-translate-normal-form-for-an-isometry-of-the-plane-in-haskell-and-verifying-it-with-quickcheck/ Calculating the reflect-rotate-translate normal form for an isometry of the plane in Haskell, and verifying it with QuickCheck.]
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* [http://www.kennknowles.com/blog/2008/04/16/drawing-fractals-in-haskell-with-a-cursor-graphics-dsel-and-a-cute-list-representation/ Drawing fractals in Haskell with a cursor graphics DSEL and a cute list representation]
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=== Group theory ===
 
=== Group theory ===
   
 
* [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell]
 
* [http://blog.mikael.johanssons.org/archive/2006/10/computational-group-theory-in-haskell-1-in-a-series/ Computational Group Theory in Haskell]
 
* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
 
* [http://blog.mikael.johanssons.org/archive/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
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* [http://sigfpe.blogspot.com/2007/06/monads-from-algebra-and-the-gray-code.html Monads from Algebra and the the Gray Code from Groups]
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* [http://www.kennknowles.com/blog/2007/12/20/infinite-lazy-knuth-bendix-completion-for-monoids-in-haskell/ Infinite lazy Knuth-Bendix completion for monoids in Haskell]
   
 
=== Set theory ===
 
=== Set theory ===
* [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner]
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* Ordinals in Haskell
* [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable Ordinals in Haskell]
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** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable ordinals]
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** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Uncountable ordinals and better representations for countable ordinals]
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** [http://blog.jbapple.com/2007/07/ord-countable-ordinals-and-idea-of.html Ord, Countable Ordinals, and an Idea of sigfpe]
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* [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and &omega;-Haskell]
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* [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line]
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** [http://blog.mikedaum.com/2007/06/28/haskell-power/ Commentary on this powerset implementation]
   
 
=== Ring theory ===
 
=== Ring theory ===
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=== Number theory ===
 
=== Number theory ===
* [http://cdsmith.wordpress.com/2007/06/24/learning-haskell-and-number-theory-gcd-and-higher-order-functions/ GCD and Higher Order Functions]
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* Number theory and Haskell:
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** [http://cdsmith.wordpress.com/2007/06/02/learning-number-theory-and-haskell-the-division-algorithm/ The Division Algorithm]
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** [http://cdsmith.wordpress.com/2007/06/03/learning-number-theory-and-haskell-more-quickcheck-and-divisors/ QuickCheck and Divisors]
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** [http://cdsmith.wordpress.com/2007/06/06/learning-number-theory-and-haskell-greatest-common-divisor/ Greatest Common Divisor]
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** [http://cdsmith.wordpress.com/2007/06/24/learning-haskell-and-number-theory-gcd-and-higher-order-functions/ GCD and Higher Order Functions]
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** [http://cdsmith.wordpress.com/2007/07/05/learning-haskell-and-number-theory-the-end-of-gcd/ The End of GCD]
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* [http://www.akalin.cx/2007/07/06/a-foray-into-number-theory-with-haskell/ A foray into number theory with Haskell]
   
 
=== Cryptography and coding theory ===
 
=== Cryptography and coding theory ===
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* [http://sigfpe.blogspot.com/2007/03/independence-entanglement-and.html Independence, entanglement and decoherence with the quantum monad]
 
* [http://sigfpe.blogspot.com/2007/03/independence-entanglement-and.html Independence, entanglement and decoherence with the quantum monad]
 
* [http://sigfpe.blogspot.com/2007/03/shor-quantum-error-correcting-code-and.html The Shor Quantum Error Correcting Code (and a Monad for Heat)]
 
* [http://sigfpe.blogspot.com/2007/03/shor-quantum-error-correcting-code-and.html The Shor Quantum Error Correcting Code (and a Monad for Heat)]
* [http://www.alpheccar.org/en/posts/show/68 The Frame Of Reference Monad]
 
   
 
== Mathematics of Haskell ==
 
== Mathematics of Haskell ==
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* Category Theory and the Category of Haskell programs:
 
* Category Theory and the Category of Haskell programs:
** [http://www.alpheccar.org/en/posts/show/74 Category Theory and the category of Haskell programs]
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** [http://www.alpheccar.org/content/74.html Part 1]
** [http://www.alpheccar.org/en/posts/show/76 Part 2]
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** [http://www.alpheccar.org/content/76.html Part 2]
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** [http://www.alpheccar.org/content/77.html Part 3]
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* [http://en.wikibooks.org/wiki/Haskell/Category_theory Category theory and Haskell]
   
 
* [http://sigfpe.blogspot.com/2006/11/why-isnt-listt-monad.html Why isn't ListT list a monad?]
 
* [http://sigfpe.blogspot.com/2006/11/why-isnt-listt-monad.html Why isn't ListT list a monad?]
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* [http://sigfpe.blogspot.com/2006/09/infinitesimal-types.html Infinitesimal Types]
 
* [http://sigfpe.blogspot.com/2006/09/infinitesimal-types.html Infinitesimal Types]
 
* [http://www.alpheccar.org/en/posts/show/70 Djinn, Coq, Monad and a bit of Haskell]
 
* [http://www.alpheccar.org/en/posts/show/70 Djinn, Coq, Monad and a bit of Haskell]
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* [http://disparatemathematician.blogspot.com/2007/07/peanos-axioms-iv-advanced-functions-and.html Peano's Axioms IV: Advanced Functions and Integers]
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* [http://sigfpe.blogspot.com/2005/07/formal-power-series-and-haskell.html Formal Power Series and Haskell]
   
 
[[Category:Tutorials]]
 
[[Category:Tutorials]]

Latest revision as of 15:22, 26 January 2012

Articles using Haskell for mathematics, and the mathematics of Haskell.

For further references see the:

Contents

[edit] 1 Haskell for mathematics

[edit] 1.1 General

[edit] 1.2 Calculus and Differential Geometry

[edit] 1.3 Algebraic Topology and Geometry

[edit] 1.4 Geometry

[edit] 1.5 Group theory

[edit] 1.6 Set theory

[edit] 1.7 Ring theory

[edit] 1.8 Number theory

[edit] 1.9 Cryptography and coding theory

[edit] 1.10 Logic

[edit] 1.11 Numerics

[edit] 2 Theorem proving

[edit] 3 Quantum computing

[edit] 4 Mathematics of Haskell

[edit] 4.1 Category theoretic

[edit] 4.2 Lambda and combinator calculi

[edit] 4.3 Other formal logics

[edit] 4.4 Miscellaneous