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- Combinatorics abstract "Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain 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 studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, and combinatorics also has many applications in optimization, computer science, ergodic theory and statistical physics. Many combinatorial questions have historically been considered in isolation, giving an ad hoc solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph theory, which also has numerous natural connections to other areas. Combinatorics is used frequently in computer science to obtain formulas and estimates in the analysis of algorithms.A mathematician who studies combinatorics is called a combinatorialist or a combinatorist.".
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- Combinatorics wikiPageExternalLink COMBINATORIAL_ANALYSIS.html.
- Combinatorics wikiPageExternalLink Combinatorics.html.
- Combinatorics wikiPageExternalLink ec.
- Combinatorics wikiPageExternalLink comb.pdf.
- Combinatorics wikiPageExternalLink Hyperbook.aspx.
- Combinatorics wikiPageExternalLink 2cultures.pdf.
- Combinatorics wikiPageExternalLink icombina.htm.
- Combinatorics wikiPageExternalLink 8027.
- Combinatorics wikiPageID "5170".
- Combinatorics wikiPageRevisionID "601730419".
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- Combinatorics id "p/c023250".
- Combinatorics title "Combinatorial analysis".
- Combinatorics subject Category:Combinatorics.
- Combinatorics comment "Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.".
- Combinatorics label "Combinatoire".
- Combinatorics label "Combinatoria".
- Combinatorics label "Combinatoria".
- Combinatorics label "Combinatorics".
- Combinatorics label "Combinatoriek".
- Combinatorics label "Combinatória".
- Combinatorics label "Kombinatorik".
- Combinatorics label "Kombinatoryka".
- Combinatorics label "Комбинаторика".
- Combinatorics label "توافقيات".
- Combinatorics label "組合せ数学".
- Combinatorics label "组合数学".
- Combinatorics sameAs Kombinatorika.
- Combinatorics sameAs Kombinatorik.
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- Combinatorics sameAs Combinatoria.
- Combinatorics sameAs Konbinatoria.
- Combinatorics sameAs Combinatoire.
- Combinatorics sameAs Kombinatorika.
- Combinatorics sameAs Combinatoria.
- Combinatorics sameAs 組合せ数学.
- Combinatorics sameAs 조합론.
- Combinatorics sameAs Combinatoriek.
- Combinatorics sameAs Kombinatoryka.
- Combinatorics sameAs Combinatória.
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- Combinatorics wasDerivedFrom Combinatorics?oldid=601730419.
- Combinatorics depiction Plain-bob-minor_2.png.
- Combinatorics isPrimaryTopicOf Combinatorics.
