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Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]
, 2013 In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers ...
Can, Mümün, Dağlı, M. Cihat
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G3: Genes, Genomes, Genetics, 2020 Ewen’s sampling formula is a foundational theoretical result that connects probability and number theory with molecular genetics and molecular evolution; it was the analytical result required for testing the neutral theory of evolution, and has since ...
Swaine L. Chen, Nico M. Temme
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Stirling Numbers of Uniform Trees and Related Computational Experiments
Algorithms, 2023 The Stirling numbers for graphs provide a combinatorial interpretation of the number of cycle covers in a given graph. The problem of generating all cycle covers or enumerating these quantities on general graphs is computationally intractable, but recent
Amir Barghi, Daryl DeFord
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Energy Reports, 2023 The working gas type had an important effect on the heat transfer performance of the turbulence device in the heater of Stirling engine, but the related researches were scarce, especially under the oscillatory flow.
Feng Xin +4 more
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Oscillatory heat transfer correlation for annular mini channel stirling heater
Case Studies in Thermal Engineering, 2020 Annular mini-channel Stirling heater are replacing conventional tubular heater in modern free piston Stirling engines due to reliability and manufacturing issues.
Umair Munir +4 more
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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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An Effective Tableau System for the Linear Time µ-Calculus [PDF]
, 1996 We present a tableau system for the model checking problem of the linear time µ-calculus. It improves the system of Stirling and Walker by simplifying the success condition for a tableau. In our system success for a leaf is determined by the path leading
Bradfield, Julian +2 more
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Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrews, G.E. +2 more
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Some results on p-adic valuations of Stirling numbers of the second kind
AIMS Mathematics, 2020 Let $n$ and $k$ be nonnegative integers. The Stirling number of the second kind, denoted by $S(n, k)$, is defined as the number of ways to partition a set of $n$ elements into exactly $k$ nonempty subsets and we have $$ S(n, k)=\frac{1}{k!}\sum_{i=0}^{k}(
Yulu Feng, Min Qiu
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Stochastic heat engines beyond a unique definition of temperature
Physical Review Research, 2023 When Carnot and Stirling initially conceptualized heat engines, temperature unambiguously represented our everyday perception of cold and hot. However, as this energy scale is expanded to measure the strength of noise in general nonequilibrium heat baths,
Chia-Hao Chang +4 more
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