Results 21 to 30 of about 293 (217)

Solar powered stirling engine for domestic household and rural areas in Karachi, Pakistan

open access: yesMemoria Investigaciones en Ingeniería, 2023
There is a critical need to use the abundantly available solar energy worldwide due to the global energy crisis. The goal of this study is to demonstrate the residential use of a stirling engine powered by solar energy in Karachi, Pakistan.
Muhammad Uzair   +4 more
doaj   +1 more source

Stochastic heat engines beyond a unique definition of temperature

open access: yesPhysical 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
doaj   +1 more source

Asymptotics of Stirling and Chebyshev‐Stirling Numbers of the Second Kind

open access: yesStudies in Applied Mathematics, 2014
For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–Stirling numbers.
Gawronski, Wolfgang   +2 more
openaire   +2 more sources

Stirling engine: Construction and performance analysis at low temperatures [PDF]

open access: yesE3S Web of Conferences
Stirling engines, categorized as hot air engines, offer remarkable versatility by operating on a variety of fuel sources, which is a significant advantage in the context of energy diversification and sustainability.
Muradov Muzaffar   +3 more
doaj   +1 more source

Harmonic number identities via polynomials with r-Lah coefficients

open access: yesComptes Rendus. Mathématique, 2020
In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
doaj   +1 more source

Generalized Bell Numbers and Peirce Matrix via Pascal Matrix

open access: yesInternational 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
doaj   +1 more source

Computational Optimization of Free-Piston Stirling Engine by Variable-Step Simplified Conjugate Gradient Method with Compatible Strategies

open access: yesEnergies, 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
doaj   +1 more source

The r-Stirling numbers

open access: yesDiscrete Mathematics, 1984
Let \(N(n,m,r)\) denote the number of permutations of \(\{1,\ldots,n\}\) with \(m\) cycles and such that the numbers \(1,\ldots,r\) occur in distinct cycles, and let \({\mathcal N}(n,m,r)\) denote the number of partitions of \(\{1,\ldots,n\}\) into \(m\) non-empty disjoint sets such that \(1,\ldots,r\) are in distinct subsets.
openaire   +1 more source

Congruences for Stirling numbers and Eulerian numbers [PDF]

open access: yesActa Arithmetica, 2008
In this paper, we establish some Fleck-Weisman type and Davis-Sun type congruences for the Stirling numbers and the Eulerian numbers.
Cao, Hui-Qin, Pan, Hao
openaire   +2 more sources

Two problems of binomial sums involving harmonic numbers

open access: yesAdvances 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
doaj   +1 more source

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