• In proving results in combinatorics several useful combinatorial rules or combinatorial principles are commonly recognized and used. The rule of sum,...
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  • geometry Finite geometry Phylogenetics History of combinatorics Combinatorial principles Trial and error, brute-force search, bogosort, British Museum algorithm...
    9 KB (683 words) - 08:34, 14 July 2024
  • the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is...
    10 KB (1,583 words) - 14:42, 23 May 2023
  • Thumbnail for Combinatorial game theory
    Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information...
    24 KB (3,239 words) - 04:49, 1 October 2024
  • Clubsuit (category Mathematical principles)
    particularly in axiomatic set theory, ♣S (clubsuit) is a family of combinatorial principles that are a weaker version of the corresponding ◊S; it was introduced...
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  • Combinatorial method may refer to: Combinatorial method (linguistics), a method used for the study of unknown languages Combinatorial principles, combinatorial...
    422 bytes (83 words) - 02:43, 11 January 2016
  • combinatorics Burnside's lemma Combinatorial explosion Combinatorial game theory Combinatorial principles Combinatorial species Inclusion–exclusion principle...
    9 KB (1,350 words) - 19:18, 20 August 2022
  • subset of a limit ordinal in set theory Clubsuit, a family of combinatorial principles in set theory Club good, a type of artificially scarce good amenable...
    2 KB (307 words) - 06:04, 11 May 2024
  • Method of distinguished element (category Mathematical principles)
    are Cn such blocks. Combinatorial principles Combinatorial proof Petkovšek, Marko; Tomaž Pisanski (November 2002). "Combinatorial Interpretation of Unsigned...
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  • In mathematics, a combinatorial explosion is the rapid growth of the complexity of a problem due to the way its combinatorics depends on input, constraints...
    11 KB (1,227 words) - 08:44, 10 August 2024
  • Thumbnail for Rule of product
    Rule of product (category Mathematical principles)
    time, then there are a + b ways to choose one of the actions. Combinatorial principles Johnston, William, and Alex McAllister. A transition to advanced...
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  • K. (1969), Some Combinatorial Properties of L and V, Unpublished manuscript Ketonen, Jussi (1974), "Some combinatorial principles" (PDF), Transactions...
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  • Thumbnail for Lists of mathematics topics
    of axioms List of conjectures List of conjectures by Paul Erdős Combinatorial principles List of equations List of formulae involving pi List of representations...
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  • one of these five systems. Much recent research has focused on combinatorial principles that do not fit neatly into this framework, like RT2 2 (Ramsey's...
    19 KB (2,635 words) - 07:52, 18 September 2024
  • Thumbnail for Inclusion–exclusion principle
    Inclusion–exclusion principle (category Mathematical principles)
    Gian-Carlo Rota put it: "One of the most useful principles of enumeration in discrete probability and combinatorial theory is the celebrated principle of inclusion–exclusion...
    40 KB (6,856 words) - 18:42, 17 November 2024
  • Schröder–Bernstein theorem Double counting (proof technique) Combinatorial principles Combinatorial proof Categorification Mazur, David R. (2010), Combinatorics...
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  • current values of other variables. Circle points segments proof Combinatorial principles Continued fraction Holonomic sequences Infinite impulse response...
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  • Thumbnail for Pigeonhole principle
    Pigeonhole principle (category Mathematical principles)
    through two paths. Axiom of choice Blichfeldt's theorem Combinatorial principles Combinatorial proof Dedekind-infinite set Dirichlet's approximation theorem...
    31 KB (4,141 words) - 15:48, 18 November 2024
  • transformation Stanley's reciprocity theorem Integer partition Combinatorial principles Cyclic sieving Z-transform Umbral calculus Coins in a fountain...
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  • Analysis of Combinatorial Principles is a book on reverse mathematics in combinatorics, the study of the axioms needed to prove combinatorial theorems....
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  • Total arrangements of 4 red and 2 white bricks = ⁠6!/4!2!⁠ = 15. Combinatorial principles Rosen 2012, pp.385-386 Rosen, Kenneth H (2012). Discrete Mathematics...
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  • Thumbnail for Ronald Jensen
    constructible hierarchy"; Definitions and proofs of various infinitary combinatorial principles in L, including diamond ♢ {\displaystyle \diamondsuit } , square...
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  • Thumbnail for Discrete mathematics
    from topology and algebraic topology/combinatorial topology in combinatorics. Design theory is a study of combinatorial designs, which are collections of...
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  • Thumbnail for Mesh generation
    existence of combinatorial hex meshes has been studied apart from the problem of generating good geometric realizations; see Combinatorial Techniques for...
    42 KB (5,319 words) - 18:08, 16 October 2024
  • the supervision of Robin Gandy. His dissertation was entitled Combinatorial Principles in the Core Model. He worked as an assistant at the Seminar für...
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  • Thumbnail for Chong Chi Tat
    Chong, Theodore A Slaman and Yue Yang, Pi^1_1 conservation of combinatorial principles weaker than Ramsey’s theorem for pairs, Advances in Mathematics...
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  • Combinatorial Analysis Procedure: A Powerful New Technique for Identifying Privileged Molecular Fragments with Useful Applications in Combinatorial Chemistry"...
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  • Thumbnail for Dynamic combinatorial chemistry
    Dynamic combinatorial chemistry (DCC); also known as constitutional dynamic chemistry (CDC) is a method to the generation of new molecules formed by reversible...
    28 KB (2,944 words) - 07:18, 28 March 2024
  • gives a necessary and sufficient condition for an object to exist: The combinatorial formulation answers whether a finite collection of sets has a transversal—that...
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  • Thumbnail for Ramon Llull
    faiths and nationalities. The Art consists of a set of general principles and combinatorial operations. It is illustrated with diagrams. A prolific writer...
    49 KB (5,818 words) - 12:49, 25 November 2024