Results 31 to 40 of about 152,870 (324)
Stirling engine: Construction and performance analysis at low temperatures [PDF]
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
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
Solar powered stirling engine for domestic household and rural areas in Karachi, Pakistan
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
Congruences for the Stirling numbers and associated Stirling numbers [PDF]
Let s(n,k) and S(n,k) be the Stirling numbers of the first and second kind, respectively. The author proves that if \(k+n\) is odd, then \[ s(n,k)\equiv 0 (mod\left( \begin{matrix} n\\ 2\end{matrix} \right)),\quad S(n,k)\equiv 0 (mod\left( \begin{matrix} k+1\\ 2\end{matrix} \right)).
openaire +2 more sources
Generalized Bell Numbers and Peirce Matrix via Pascal Matrix
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
The Structure of n-Point One-Loop Open Superstring Amplitudes [PDF]
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
core +2 more sources
Combinatorially interpreting generalized Stirling numbers [PDF]
Let $w$ be a word in alphabet $\{x,D\}$ with $m$ $x$'s and $n$ $D$'s. Interpreting "$x$" as multiplication by $x$, and "$D$" as differentiation with respect to $x$, the identity $wf(x) = x^{m-n}\sum_k S_w(k) x^k D^k f(x)$, valid for any smooth function ...
Engbers, John +2 more
core +4 more sources
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
Generalized Fock spaces and the Stirling numbers [PDF]
The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D. +14 more
core +3 more sources
Normal Ordering for Deformed Boson Operators and Operator-valued Deformed Stirling Numbers
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
core +3 more sources

