Results 51 to 60 of about 408,570 (286)
Coxeter-biCatalan combinatorics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We consider several counting problems related to Coxeter-Catalan combinatorics and conjecture that the problems all have the same answer, which we call the $W$ -biCatalan number. We prove the conjecture in many cases.
Emily Barnard, Nathan Reading
doaj +1 more source
Notes on the Hankel transform of linear combinations of consecutive pairs of Catalan numbers [PDF]
arXiv, 2020 We provide a context around a conjectured closed form for the Hankel transform of linear combinations of consecutive pairs of Catalan numbers. This generalizes the formula for the Hankel transforms of the shifted Catalan numbers and the known results for linear combinations of pairs of Catalan numbers.
arxiv
Catalan-like numbers and Stieltjes moment sequences [PDF]
Discrete Math. 339 (2016) 484--488, 2015 We provide sufficient conditions under which the Catalan-like numbers are Stieltjes moment sequences. As applications, we show that many well-known counting coefficients, including the Bell numbers, the Catalan numbers, the central binomial coefficients, the central Delannoy numbers, the factorial numbers, the large and little Schr\"oder numbers, are ...
arxiv +1 more source
Advanced Science, EarlyView.In this study, Merkoçi and his research group present a polymer‐based synthesis to enhance the stability of Prussian blue (PB) nanoparticles. The resulting PB‐infused catalytic hetero‐interface architecture (PB‐CHIA) achieves complete two‐dimensional (2D) and three‐dimensional (3D) substrate coverage (glassy carbon and laser‐induced graphene electrodes)
Sinan Uzunçar +3 more
wiley +1 more source
Congruences from $q$-Catalan Identities [PDF]
Transactions on Combinatorics, 2016 In this paper, by studying three $q$-Catalan identities given by Andrews, we arrive at a certain number of congruences. These congruences are all modulo $Phi_n(q)$, the $n$-th cyclotomic polynomial or the related functions and modulo $q$-integers
Qing Zou
doaj +1 more source
Catalan structures and Catalan pairs [PDF]
arXiv, 2010 A Catalan pair is a pair of binary relations (S,R) satisfying certain axioms. These objects are enumerated by the well-known Catalan numbers, and have been introduced with the aim of giving a common language to most of the structures counted by Catalan numbers.
arxiv
Advanced Energy Materials, EarlyView.Formamidinium‐based perovskite (FAPbI3) solar cells are of great interest due to an advantageous band gap able to achieve the maximum theoretical efficiency. In this study, a strategy is demonstrated based on a halide ion gradient (present in the general 2D perovskite formulation) created on the 3D FAPbI3 surface to simultaneously increase the ...
Matteo Degani +11 more
wiley +1 more source
Sweet Femininities: Women and the Confectionery Trade in Eighteenth‐Century Barcelona
Gender &History, Volume 34, Issue 3, Page 574-589, October 2022., 2022 Abstract This article examines the intersections between sweetness, femininity and the confectionery trade in eighteenth‐century Barcelona, at a time of growing consumption of sugar and slavery. Drawing on a range of underexplored archival material, this study traces the stories of women of different social groups, namely, elite housewives, nuns and ...
Marta Manzanares Mileo
wiley +1 more source
On ideal convergence of sequences via Catalan matrix operator
Miskolc Mathematical NotesCatalan sequence initially introduced by Euler but named after Eugene Catalan has found abundant applications in the fields of probability theory, number theory, analysis, combinatorics etc.
Vakeel Ahmad Khan, Mikail Et, Umme Tuba
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Permutations avoiding an increasing number of length-increasing forbidden subsequences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 A permutation π is said to be τ -avoiding if it does not contain any subsequence having all the same pairwise comparisons as τ . This paper concerns the characterization and enumeration of permutations which avoid a set F^j of subsequences increasing ...
Elena Barcucci +3 more
doaj +1 more source