Results 51 to 60 of about 644,231 (86)
The mysterious story of square ice, piles of cubes, and bijections. [PDF]
Proc Natl Acad Sci U S A, 2020 Fischer I, Konvalinka M.
europepmc +1 more source
On some primary and secondary structures in combinatorics [PDF]
, 2001 A possible upgrade of a curriculum in undergraduate course in combinatorics is presented by giving more bijective proofs in the standard (or primary) combinatorics and by adding some topics on more refined (or secondary) combinatorics, including Dyck
Veljan, D.
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, 1920 Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating
Mazur, David R
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New identities in dendriform algebras
, 2008 International audienceDendriform structures arise naturally in algebraic combinatorics (where they allow, for example, the splitting of the shuffle product into two pieces) and through Rota-Baxter algebra structures (the latter appear, among others, in ...
Patras, Frédéric +2 more
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Combinatorial aspects of the theory of q-series [PDF]
, 2005 This thesis is concerned mainly with the interplay between identities involving power series (which are called q-series) and combinatorics, in particular the theory of partitions.
Hammond, P R, P R Hammond (16127984)
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A Partition Bijection Related to the Rogers-Selberg Identities and Gordon’s Theorem
, 2008 We provide a bijective map from the partitions enumerated by the series side of the Rogers–Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon's combinatorial generalization of the Rogers–Ramanujan identities.
Andrew V. Sills
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Theory of combinatorial limits and extremal combinatorics [PDF]
In the past years, techniques from different areas of mathematics have been successfully applied in extremal combinatorics problems. Examples include applications of number theory, geometry and group theory in Ramsey theory and analytical methods to ...
Lopes Martins, Taísa
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Method for constructing bijections for classical partition identities. [PDF]
Proc Natl Acad Sci U S A, 1981 Garsia AM, Milne SC.
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Tiling Proofs of Recent Sum Identities Involving Pell Numbers
, 2008 In a recent note, Santana and Diaz-Barrero proved a number of sum identities involving the well-known Pell numbers. Their proofs relied heavily on the Binet formula for Pell numbers.
Plott, Sean S. +2 more
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Combinatorial identities for Stirling numbers: the unpublished notes of H. W. Gould
, 2016 This book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains ...
Quaintance, Jocelyn, Gould, H W
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