Blog articles/Mathematics: Difference between revisions
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=== Set theory === | === Set theory === | ||
* | * Ordinals in Haskell | ||
** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html | ** [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable ordinals] | ||
** [http://japple.blogspot.com/2007/06/ordinals-part-2.html | ** [http://japple.blogspot.com/2007/06/ordinals-part-2.html Uncountable ordinals and better representations for countable ordinals] | ||
* [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and -Haskell] | * [http://japple.blogspot.com/2007/06/constructability-uncountability-and.html Constructability, Uncountability, and ω-Haskell] | ||
* [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | * [http://community.livejournal.com/evan_tech/220036.html Defining a power set in one line] | ||
Revision as of 16:13, 2 July 2007
Articles using Haskell for mathematics, and the mathematics of Haskell.
For further references see the:
Haskell for mathematics
General
- Eleven Reasons to use Haskell as a Mathematician
- Haskell for Maths: commutative algebra, combinatorics, number theory, and group theory libraries
- Learn Maths with Haskell
- Prototyping thought
- Why Haskell?
Calculus and Differential Geometry
Algebraic Topology and Geometry
Geometry
Group theory
- Computational Group Theory in Haskell
- Carry bits and group cohomology
- Monads from Algebra and the the Gray Code from Groups
Set theory
- Ordinals in Haskell
- Constructability, Uncountability, and ω-Haskell
- Defining a power set in one line
Ring theory
Number theory
Cryptography and coding theory
- Feistel Ciphers and DES in Haskell
- Arithmetic coding in Haskell
- Two-dimensional spatial hashing with space-filling curves
Logic
Numerics
- The Division Bell
- Overloading Haskell numbers
Theorem proving
Quantum computing
- The Essence of Quantum Computing
- Monads for vector spaces, probability and quantum mechanics pt. I
- Monads, Vector Spaces and Quantum Mechanics pt. II
- Independence, entanglement and decoherence with the quantum monad
- The Shor Quantum Error Correcting Code (and a Monad for Heat)
- The Frame Of Reference Monad
Mathematics of Haskell
Category theoretic
- Category Theory and the Category of Haskell programs:
- Why isn't ListT list a monad?
- Reverse Engineering Machines with the Yoneda Lemma
- Variable substitution gives a...
- Games, Strategies and the Self-Composition of the List Monad.