Results 91 to 100 of about 9,463,328 (331)
Studia Romanica Posnaniensia, 2016 This paper aims to investigate the Classical proverbs listed as equivalents to the Catalan proverb L’amic, prova’l primer ans que l’hages menesterby Sebastià Farnés in his volume entitled Paremiologia catalana comparada. In this paper, I
Xavier Pascual-López
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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
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Dirichlet series and series with Stirling numbers
Cubo, 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
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Modular Fuss-Catalan numbers [PDF]
Discrete Mathematics, 2022 The modular Catalan numbers $C_{k,n}$, introduced by Hein and Huang in 2016 count equivalence classes of parenthesizations of $x_0 * x_1 * \dots *x_n$ where $*$ is a binary $k$-associative operation and $k$ is a positive integer. The classical notion of associativity is just 1-associativity, in which case $C_{1,n} = 1$ and the size of the unique class ...
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Advanced Electronic Materials, EarlyView.High‐quality epitaxial five‐layer Sr2Bi4Ti5O18Aurivillius films are grown on SrTiO3 by pulsed laser deposition. The electrocaloric effect derived from measurements of the in‐plane ferroelectric polarization reveals a maximum temperature change of ΔT ∼ 0.95 °C under an electric field of 150 kV cm⁻¹ at 135 °C.
Sara Lafuerza +10 more
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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
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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
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Rational Catalan Combinatorics: The Associahedron [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Each positive rational number $x>0$ can be written $\textbf{uniquely}$ as $x=a/(b-a)$ for coprime positive integers ...
Drew Armstrong +2 more
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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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Communications of the American Mathematical SocietyGiven a (bounded affine) permutation f f , we study the positroid Catalan number C f C_f defined to be the torus-equivariant Euler characteristic of the associated open positroid variety. We introduce a class of repetition-free permutations and show that the corresponding positroid Catalan numbers ...
Galashin, Pavel, Lam, Thomas
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