Results 61 to 70 of about 408,570 (286)
Catalan Tree & Parity of some sequences which are related to Catalan numbers [PDF]
arXiv, 2011 In this paper we determine the parity of some sequences which are related to Catalan numbers. Also we introduce a combinatorical object called, \Catalan tree", and discuss its properties.
arxiv
Fuss-Catalan numbers and planar partitions [PDF]
arXiv, 2023 We show how the Fuss-Catalan numbers $ \frac{1}{p n+1}\binom{pn+1}{n}$ enter different problems of counting simple and multiple planar partitions.
arxiv
Applied Artificial Intelligence in Materials Science and Material Design
Advanced Intelligent Systems, EarlyView.AI‐driven methods are transforming materials science by accelerating material discovery, design, and analysis, leveraging large datasets to enhance predictive modeling and streamline experimental techniques. This review highlights advancements in AI applications across spectroscopy, microscopy, and molecular design, enabling efficient material ...
Emigdio Chávez‐Angel +7 more
wiley +1 more source
Caplletra: Revista Internacional de Filologia, 2014 In the last years a very important amount of immigrant students unaware of Catalan, a language typical of the educational system of Catalonia, have arrived to Catalonia.
Josep M. Serra +4 more
doaj +1 more source
Journal of Patient-Reported Outcomes, 2022 Purpose Pectus excavatum (PE) is the most common congenital chest wall deformity. It can have a negative effect in exercise tolerance. However, cosmetic features are the most frequent concerns in these patients.
Irene de Haro Jorge +5 more
doaj +1 more source
The Super Patalan Numbers [PDF]
J. Integer Seq. 18 (2015), Article 15.3.3, 2014 We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analagous to those of the super Catalan numbers. The super Patalan numbers generalize the super Catalan numbers similarly to how the Patalan numbers generalize the Catalan numbers.
arxiv
Snow Leopard Permutations and Their Even and Odd Threads [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Caffrey, Egge, Michel, Rubin and Ver Steegh recently introduced snow leopard permutations, which are the anti-Baxter permutations that are compatible with the doubly alternating Baxter permutations. Among other things, they showed that these permutations
Eric S. Egge, Kailee Rubin
doaj +1 more source
Catalan-like numbers and Hausdorff moment sequences [PDF]
arXiv, 2018 In this paper we show that many well-known counting coefficients, including the Catalan numbers, the Motzkin numbers, the central binomial coefficients, the central Delannoy numbers are Hausdorff moment sequences in a unified approach. In particular we answer a conjecture of Liang at al. which such numbers have unique representing measures.
arxiv
ChemElectroChem, EarlyView.This review explores the transformative role of graphene derivatives in electrochemical biosensors for diagnostics, environmental monitoring, and industrial sensing. Highlighting innovations in synthesis and covalent functionalization, it discusses how these materials enhance biosensor stability, specificity, and scalability.
Petr Jakubec +8 more
wiley +1 more source
Minimal Factorizations of Permutations into Star Transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form $(1 i)$. Our result generalizes earlier work of Pak ($\textit{Reduced decompositions of permutations in terms of star ...
J. Irving, A. Rattan
doaj +1 more source