Results 71 to 80 of about 1,655,826 (313)
A New Combinatorial Identity for Catalan Numbers [PDF]
, 2017 In this article, we prove a conjecture about the equality of two generating functions described in "From Parking Functions to Gelfand Pairs (Aker, Can 2012)" attached to two sets whose cardinalities are given by Catalan numbers: We establish a ...
Aker, Kursat, Gursoy, Aysin Erkan
core
Angewandte Chemie, EarlyView.Outstanding catalytic results for NH3 decomposition for H2 production were obtained with metallic Ru, Rh, and RuRh nanoparticle‐exsolved CeO2‐based catalysts. Significant lower amounts of available superficial metallic fractions were needed in comparison to conventional Ru‐impregnated materials.
Andrés López‐García +8 more
wiley +2 more sources
$q,t$-Fuß-Catalan numbers for complex reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In type $A$, the $q,t$-Fuß-Catalan numbers $\mathrm{Cat}_n^{(m)}(q,t)$ can be defined as a bigraded Hilbert series of a module associated to the symmetric group $\mathcal{S}_n$.
Christian Stump
doaj +1 more source
Positroids, knots, and q,t-Catalan numbers
Duke mathematical journal. We relate the mixed Hodge structure on the cohomology of open positroid varieties (in particular, their Betti numbers over C and point counts over F q ) to Khovanov– Rozansky homology of the associated links.
Pavel Galashin, Thomas Lam
semanticscholar +1 more source
Advanced Materials, EarlyView.The Y supersaturation in the [Ba‐Cu(I/II)‐O] transient liquid composition is the driving force toward YBCO nucleation and growth in TLAG. Tuning the initial (Ba:Cu) molar ratio in the ink composition determines the YBCO epitaxial nucleation through supersaturation control.
Lavinia Saltarelli +12 more
wiley +1 more source
Catalan and Stirling Numbers [PDF]
, 2013 Αυτή είναι μια διπλωματική εργασία στα Διακριτά Μαθηματικά με τίτλο: «Αριθμοί Catalan και Stirling» όπου εξετάζονται εκτενώς οι αριθμοί Catalan και οι αριθμοί Stirling α’ και β’ είδους.
Dede, Georgia, S. +1 more
core +1 more source
Defect‐Guided Assembly of Aperiodic and Flexible Metal–Organic Frameworks From Pre‐Formed Cages
Angewandte Chemie, EarlyView.A cage‐directed strategy is used to program topologically correlated defects and induce aperiodicity in HKUST‐1‐type MOFs. A missing carboxylate group in the linker drives the formation of Cu‐vacancy domains, while Rh(II) cages spatially confine these defects.
Francisco Sánchez‐Férez +12 more
wiley +2 more sources
Chromatic Spectrum of $K_s$-WORM Colorings of $K_n$ [PDF]
Computer Science Journal of Moldova, 2020 An {\it $H$-WORM} coloring of a simple graph $G$ is the coloring of the vertices of $G$ such that no copy of $H\subseteq G$ is monochrome or rainbow. In a recently published article by one of the authors \cite{All1}, it was claimed that the number of $r$
Julian A.D. Allagan, Kenneth L. Jones
doaj
Catalan Numbers for the Classroom?
Elemente der Mathematik, 1997 The author describes the experiences with 13-14 years old pupils in a project on Catalan numbers. She asserts that solving simple combinatorial problems plays an important role in developing thought processes, and should be practised throughout secondary school.
openaire +3 more sources
Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source