Results 71 to 80 of about 9,463,328 (331)
Intersection Numbers on Fibrations and Catalan Numbers
Experimental Mathematics, 2023 On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.
Rimma Hämäläinen +2 more
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Engineering a Spin‐Orbit Bandgap in Graphene‐Tellurium Heterostructures
Advanced Functional Materials, EarlyView.Tellurium intercalation in epitaxial graphene on Ir(111) enables the emergence of a spin–orbit‐induced bandgap with energy spin splitting. By combining STM, ARPES, spin‐resolved ARPES, and DFT, two structural phases are identified, both exhibiting tunable electronic doping.
Beatriz Muñiz Cano +14 more
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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
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On generalised catalan numbers
Discrete Mathematics, 1978 AbstractThe Catalan number Cn is defined to be 2nn(n+1). One of its occurrences is as the number of ways of bracketing a product of n+1 terms taken from a set with binary operation. In this note the corresponding result for a set with a k-ary operation is considered.
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Boosting Polysulfide Conversion on Fe‐Doped Nickel Diselenide Toward Robust Lithium–Sulfur Batteries
Advanced Functional Materials, EarlyView.This work reports an advanced functional material based on Fe‐doped nickel diselenides toward robust lithium–sulfur batteries, demonstrating that Fe‐rich cores and surface doping enhance the density of states at the Fermi level and introduce unpaired electrons for the improvement of the LiPS adsorption and catalytic conversion. Abstract Sulfur offers a
Junshan Li +11 more
wiley +1 more source
Two explicit formulas for the generalized Motzkin numbers
Journal of Inequalities and Applications, 2017 In the paper, by the Faà di Bruno formula, the authors establish two explicit formulas for the Motzkin numbers, the generalized Motzkin numbers, and the restricted hexagonal numbers.
Jiao-Lian Zhao, Feng Qi
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Journal of Mathematical Analysis and Applications, 1985 In this paper we shall use “Catalan numbers” (defined below) to create “Catalan functions” and shall then construct “Catalan matrices” that have these functions as elements. Our development also provides “Sheffer functions,” a special group of infinite triangular matrices, combinatorial interpretations originating from Cayley [2], an encounter with ...
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Advanced Functional Materials, EarlyView.Gallium sulfide (GaS) forms self‐assembled heterostructures with its native oxide, exhibiting high performance in water splitting and ultrasensitive and selective ammonia detection. Surface defects and controlled oxidation enhance catalytic activity and sensing response.
Danil W. Boukhvalov +13 more
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The Catalan-Qi number of the second kind and a related integral [PDF]
, 2021 Enno Diekema
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Alternating Convolutions of Catalan Numbers [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2021 A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
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