Results 31 to 40 of about 9,502,067 (333)
Experimental and Numerical Study of a Microcogeneration Stirling Unit under On–Off Cycling Operation
Stirling units are a viable option for micro-cogeneration applications, but they operate often with multiple daily startups and shutdowns due to the variability of load profiles.
Gianluca Valenti+5 more
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Negative $q$-Stirling numbers [PDF]
The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of restricted growth words. The resulting expressions are polynomials in $q$ and $(1+q)$.
Cai, Yue, Readdy, Margaret
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Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]
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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17 pages, 3 ...
Wolfgang Gawronski+3 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim+4 more
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Stirling Numbers of Forests and Cycles [PDF]
For a graph $G$ and a positive integer $k$, the graphical Stirling number $S(G,k)$ is the number of partitions of the vertex set of $G$ into $k$ non-empty independent sets. Equivalently it is the number of proper colorings of $G$ that use exactly $k$ colors, with two colorings identified if they differ only on the names of the colors.
Do Trong Thanh, David Galvin
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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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An Effective Tableau System for the Linear Time µ-Calculus [PDF]
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
core +3 more sources
Note on r-central Lah numbers and r-central Lah-Bell numbers
The r-Lah numbers generalize the Lah numbers to the r-Stirling numbers in the same sense. The Stirling numbers and the central factorial numbers are one of the important tools in enumerative combinatorics. The r-Lah number counts the number of partitions
Hye Kyung Kim
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On partitions, surjections, and Stirling numbers [PDF]
Electrical Engineering, Mathematics and Computer ...
Hilton, P. (author)+2 more
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