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enumerative combinatorics

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combinatoria enumerativa

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area of combinatorics that deals with the number of ways that certain patterns can be formed
Yeah, it's classic enumerative combinatorics.
Sí, es combinatoria enumerativa clásica.
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Fibonacci numbers is the basic example of a problem in enumerative combinatorics.
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Yeah, it's classic enumerative combinatorics.
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It has applications to enumerative combinatorics, fractal analysis, theoretical computer science, automata theory and linguistics.
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Polynomial sequences are a topic of interest in enumerative combinatorics and algebraic combinatorics, as well as applied mathematics.
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Enumerative Combinatorics, Volume 1 (2 ed.).
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Enumerative combinatorics is the most classical area of combinatorics and concentrates on counting the number of certain combinatorial objects.
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Double factorials also arise in expressing the volume of a hypersphere, and they have many applications in enumerative combinatorics.
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Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed.
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In contrast with enumerative combinatorics which uses explicit combinatorial formulae and generating functions to describe the results, analytic combinatorics aims at obtaining asymptotic formulae.
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In particular, it is concerned with "counting" the objects in those collections (enumerative combinatorics) and with deciding whether certain "optimal" objects exist (extremal combinatorics).
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Using algorithmic and enumerative combinatorics, scientists showed that classical graph exploration algorithms, when correctly applied to maps, lead to remarkable decompositions of the underlying surfaces.
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The book Enumerative Combinatorics: Volume 2 by combinatorialist Richard P. Stanley contains a set of exercises which describe 66 different interpretations of the Catalan numbers.
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More generally, given an infinite collection of finite sets Si indexed by the natural numbers, enumerative combinatorics seeks to describe a counting function which counts the number of objects in Sn for each n.
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Aspects include "counting" the objects satisfying certain criteria (enumerative combinatorics), deciding when the criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and finding algebraic structures these objects may have (algebraic combinatorics).
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In modern times, the works of J.J. Sylvester (late 19th century) and Percy MacMahon (early 20th century) helped lay the foundation for enumerative and algebraic combinatorics.
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Compiler Construction Discrete Stochastics and Information Theory Enumerative Combinatoric Algorithms Geometry for Computer Scientists IT Security Numerical Optimization... [-] Austria, Graz October 2019
Para la transmisión de las producciones estándares y los datos indicados en el apartado #, los Estados miembros utilizarán sistemas informáticos puestos a disposición por la Comisión (Eurostat) que permitan los intercambios electrónicos de documentos e información entre ésta y los Estados miembrosParaCrawl Corpus ParaCrawl Corpus
In contrast with enumerative combinatorics which uses explicit combinatorial formulae and generating functions to describe the results, analytic combinatorics aims at obtaining asymptotic formulae.
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The EXPLOREMAPS (Combinatorial methods, from enumerative topology to random discrete structures and compact data representations) project built on recent combinatorics advancements to address a number of deeply connected problems that have independently arisen in enumerative topology, statistical physics and data compression.
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