Results 21 to 30 of about 153,050 (234)
Energies, 2022 This study aimed at the development of an algorithm for the computational optimization of free-piston Stirling engines. The design algorithm includes an optimization method and two compatible strategies.
Chin-Hsiang Cheng, Yu-Ting Lin
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Generalized Bell Numbers and Peirce Matrix via Pascal Matrix
International Journal of Mathematics and Mathematical Sciences, 2018 With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as ...
Eunmi Choi
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The Structure of n-Point One-Loop Open Superstring Amplitudes [PDF]
, 2014 In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states.
A Bilal +78 more
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Two problems of binomial sums involving harmonic numbers
Advances in Difference Equations, 2021 Two open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are resolved by evaluating explicitly three binomial sums involving harmonic numbers, that are realized mainly by utilizing the generating function method and symmetric ...
Nadia N. Li, Wenchang Chu
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Normal Ordering for Deformed Boson Operators and Operator-valued Deformed Stirling Numbers
, 1992 The normal ordering formulae for powers of the boson number operator $\hat{n}$ are extended to deformed bosons. It is found that for the `M-type' deformed bosons, which satisfy $a a^{\dagger} - q a^{\dagger} a = 1$, the extension involves a set of ...
Abramowitz M +17 more
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $n$ and $k$ be positive integers, $d(k)$ and $\nu_2(k)$ denote the number of ones in the binary representation of $k$ and the highest power of two dividing $k$, respectively.
Tamás Lengyel
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Enumeration of a dual set of Stirling permutations by their alternating runs
, 2015 In this paper, we count a dual set of Stirling permutations by the number of alternating runs. Properties of the generating functions, including recurrence relations, grammatical interpretations and convolution formulas are studied.Comment: 8 ...
Ma, Shi-Mei, Wang, Hai-Na
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Generalized Tepper’s Identity and Its Application
Mathematics, 2020 The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the ...
Dmitry Kruchinin +2 more
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Additive Manufacturing of NiTi Shape Memory Alloys for Elastocaloric Applications: A Review
Advanced Functional Materials, EarlyView.Additive manufacturing enables complex NiTi architectures that overcome key limitations in elastocaloric refrigeration, including poor heat transfer and high mechanical work input. This review surveys recent advances in LPBF‐ and DED‐fabricated NiTi shape memory alloys for elastocaloric applications, highlighting process–structure–performance ...
Ignatius Andre Setiawan +7 more
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Restricted Stirling permutations
, 2016 In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents.
Callan, David +2 more
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