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  2. Catalan number - Wikipedia

    en.wikipedia.org/wiki/Catalan_number

    The associahedron of order 4 with the C 4 =14 full binary trees with 5 leaves. C n is the number of non-isomorphic ordered (or plane) trees with n + 1 vertices. [7] See encoding general trees as binary trees. For example, C n is the number of possible parse trees for a sentence (assuming binary branching), in natural language processing.

  3. Falling cat problem - Wikipedia

    en.wikipedia.org/wiki/Falling_cat_problem

    The falling cat problem has elicited interest from scientists including George Gabriel Stokes, James Clerk Maxwell, and Étienne-Jules Marey.In a letter to his wife, Katherine Mary Clerk Maxwell, Maxwell wrote, "There is a tradition in Trinity that when I was here I discovered a method of throwing a cat so as not to light on its feet, and that I used to throw cats out of windows.

  4. Corecursion - Wikipedia

    en.wikipedia.org/wiki/Corecursion

    In computer science, corecursion is a type of operation that is dual to recursion.Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case.

  5. Master theorem (analysis of algorithms) - Wikipedia

    en.wikipedia.org/wiki/Master_theorem_(analysis...

    Sections 4.3 (The master method) and 4.4 (Proof of the master theorem), pp. 73–90. Michael T. Goodrich and Roberto Tamassia. Algorithm Design: Foundation, Analysis, and Internet Examples. Wiley, 2002. ISBN 0-471-38365-1. The master theorem (including the version of Case 2 included here, which is stronger than the one from CLRS) is on pp. 268 ...

  6. RE (complexity) - Wikipedia

    en.wikipedia.org/wiki/RE_(complexity)

    The set of recursive languages is a subset of both RE and co-RE. [3] In fact, it is the intersection of those two classes, because we can decide any problem for which there exists a recogniser and also a co-recogniser by simply interleaving them until one obtains a result.

  7. Catmull–Clark subdivision surface - Wikipedia

    en.wikipedia.org/wiki/Catmull–Clark_subdivision...

    Catmull–Clark surfaces are defined recursively, using the following refinement scheme. [1]Start with a mesh of an arbitrary polyhedron.All the vertices in this mesh shall be called original points.

  8. Computability theory - Wikipedia

    en.wikipedia.org/wiki/Computability_theory

    In contemporary use, the term "computable function" has various definitions: according to Nigel J. Cutland, [10] it is a partial recursive function (which can be undefined for some inputs), while according to Robert I. Soare [11] it is a total recursive (equivalently, general recursive) function. This article follows the second of these ...

  9. Computable set - Wikipedia

    en.wikipedia.org/wiki/Computable_set

    In computability theory, a set of natural numbers is called computable, recursive, or decidable if there is an algorithm which takes a number as input, terminates after a finite amount of time (possibly depending on the given number) and correctly decides whether the number belongs to the set or not.