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- Combinatorial_species abstract "In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for analysing discrete structures in terms of generating functions. Examples of discrete structures are (finite) graphs, permutations, trees, and so on; each of these has an associated generating function which counts how many structures there are of a certain size. One goal of species theory is to be able to analyse complicated structures by describing them in terms of transformations and combinations of simpler structures. These operations correspond to equivalent manipulations of generating functions, so producing such functions for complicated structures is much easier than with other methods. The theory was introduced by André Joyal.The power of the theory comes from its level of abstraction. The "description format" of a structure (such as adjacency list versus adjacency matrix for graphs) is irrelevant, because species are purely algebraic. Category theory provides a useful language for the concepts that arise here, but it is not necessary to understand categories before being able to work with species.".
- Combinatorial_species thumbnail Combinatorial_species_generic_structure.svg?width=300.
- Combinatorial_species wikiPageExternalLink Especes_trans.pdf.
- Combinatorial_species wikiPageExternalLink especes.html.
- Combinatorial_species wikiPageExternalLink ELastaria221-230.PDF.
- Combinatorial_species wikiPageExternalLink ctcs2004.
- Combinatorial_species wikiPageExternalLink a.pdf.
- Combinatorial_species wikiPageID "160076".
- Combinatorial_species wikiPageRevisionID "602719556".
- Combinatorial_species hasPhotoCollection Combinatorial_species.
- Combinatorial_species subject Category:Algebraic_combinatorics.
- Combinatorial_species subject Category:Enumerative_combinatorics.
- Combinatorial_species comment "In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for analysing discrete structures in terms of generating functions. Examples of discrete structures are (finite) graphs, permutations, trees, and so on; each of these has an associated generating function which counts how many structures there are of a certain size.".
- Combinatorial_species label "Combinatorial species".
- Combinatorial_species label "Тип структуры".
- Combinatorial_species sameAs m.0154dr.
- Combinatorial_species sameAs Q4457949.
- Combinatorial_species sameAs Q4457949.
- Combinatorial_species wasDerivedFrom Combinatorial_species?oldid=602719556.
- Combinatorial_species depiction Combinatorial_species_generic_structure.svg.
- Combinatorial_species isPrimaryTopicOf Combinatorial_species.