Blog articles/Mathematics: Difference between revisions

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-== Maths ==
+Haskell and mathematics. See also the [[Haskell_and_mathematics|Haskell math community]].
-=== Haskell for mathematics ===
+== Haskell for mathematics ==
-==== General ====
+=== General ===
 * [http://sigfpe.blogspot.com/2006/01/eleven-reasons-to-use-haskell-as.html Eleven Reasons to use Haskell as a Mathematician]
@@ Line 11: / Line 11: @@
 * [http://scienceblogs.com/goodmath/2006/11/why_haskell.php Why Haskell?]
-==== Calculus and Differential Geometry ====
+=== Calculus and Differential Geometry ===
 * [http://sigfpe.blogspot.com/2006/09/practical-synthetic-differential.html Practical Synthetic Differential Geometry]
 * [http://vandreev.wordpress.com/2006/12/04/non-standard-analysis-and-automatic-differentiation/ Non-standard analysis, automatic differentiation, Haskell]
-==== Algebraic Topology and Geometry ====
+=== Algebraic Topology and Geometry ===
 * [http://sigfpe.blogspot.com/2006/08/algebraic-topology-in-haskell.html Algebraic Topology in Haskell]
 * [http://sigfpe.blogspot.com/2006/09/more-low-cost-geometric-algebra.html More Low Cost Geometric Algebra]
 * [http://sigfpe.blogspot.com/2006/08/geometric-algebra-for-free_30.html Geometric Algebra for Free!]
-==== Geometry ====
+=== Geometry ===
 * [http://www.alpheccar.org/en/posts/show/57 Haskell, PDF and penrose tilings]
-==== 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/2006/07/carry-bits-and-group-cohomology/ Carry bits and group cohomology]
-==== Set Theory ====
+=== Set Theory ===
 * [http://community.livejournal.com/evan_tech/220036.html Powerset oneliner]
 * [http://japple.blogspot.com/2007/02/countable-ordinals-in-haskell.html Countable Ordinals in Haskell]
-==== Ring Theory ====
+=== Ring Theory ===
 * [http://www.quetzal.com/sambangu/2006/12/polynomials-as-numbers Polynomials]
-==== 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]
-==== Cryptography and Coding Theory ====
+=== Cryptography and Coding Theory ===
 * [http://vandreev.wordpress.com/2007/06/18/feistel-ciphers-and-des-in-haskell/ Feistel Ciphers and DES in Haskell]
 * [http://vandreev.wordpress.com/2007/01/07/arithmetic-coding/ Arithmetic coding in Haskell]
 * [http://www.serpentine.com/blog/2007/01/11/two-dimensional-spatial-hashing-with-space-filling-curves/ Two-dimensional spatial hashing with space-filling curves]
-==== Logic ====
+=== Logic ===
 * [http://sigfpe.blogspot.com/2006/06/laws-of-form-opinion.html Laws of Form: An Opinion]
-==== Numerics ====
+=== Numerics ===
 * The Division Bell
 ** [http://praisecurseandrecurse.blogspot.com/2006/12/division-bell-tolls-for-me.html Part One]
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 ** [http://augustss.blogspot.com/2007/05/i-was-asked-if-my-fixed-number-module.html Dynamic epsilons in Haskell with a bit of type hackery]
-=== Theorem Proving ===
+== Theorem Proving ==
 * [http://vandreev.wordpress.com/2006/12/24/quick-and-dirty-theorem-prover/ Quick and Dirty Theorem Prover]
-=== Quantum Computing ===
+== Quantum Computing ==
 * [http://sigfpe.blogspot.com/2007/02/essence-of-quantum-computing.html The Essence of Quantum Computing]
@@ Line 75: / Line 74: @@
 * [http://www.alpheccar.org/en/posts/show/68 The Frame Of Reference Monad]
-=== Mathematics of Haskell ===
+== Mathematics of Haskell ==
-==== Category Theoretic ====
+=== Category Theoretic ===
 * Category Theory and the Category of Haskell programs:
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 * [http://sigfpe.blogspot.com/2006/10/games-strategies-and-self-composition.html Games, Strategies and the Self-Composition of the List Monad.]
-==== Lambda and Combinator Calculi ====
+=== Lambda and Combinator Calculi ===
 * [http://scienceblogs.com/goodmath/2006/09/programs_are_proofs_models_and_1.php Programs are Proofs: Models and Types in Lambda Calculus]
 * [http://www.onebadseed.com/blog/?p=51 Don't need the Y combinator]
-==== Other Formal Logics ====
+=== Other Formal Logics ===
 * [http://sigfpe.blogspot.com/2006/11/from-l-theorem-to-spreadsheet.html From Löb's Theorem to Spreadsheet Evaluation]
-==== Miscellaneous ====
+=== Miscellaneous ===
 * [http://www.rubrication.net/2007/04/21/how-a-real-module-system-should-work/ ML, Haskell and Coq]
 * [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]
+[[Category:Tutorials]]