Results 51 to 60 of about 293 (217)

The Group of Generalized Stirling Numbers

Advances in Applied Mathematics, 2001
An algebraic approach to the generalized Stirling numbers is presented, leading to a unified interpretation for important combinatorial functions such as the binomials, Stirling numbers, and Gaussian polynomials. Let \(G\) be the group of all infinite lower triangular matrices \(A\) over a field \(K\) of characteristic \(0\) for which \(A(n,m)= 1 ...
openaire   +1 more source

Exploring interactions of the dimensions of agency through the experiences of aspiring school leaders in Scotland, UK

British Educational Research Journal, EarlyView.
Abstract Agency has increasingly become a central concept in educational leadership research, yet its application to those preparing to enter school leadership roles remains underexplored. Drawing on the conceptual framework of the ecological approach to teacher agency, we explored how and in what ways aspiring school leaders in Scotland (n = 21 ...
Romina Madrid Miranda, Andrea Priestley, Elizabeth A. C. Rushton   +2 more
wiley   +1 more source

Looking for hopeful purpose in England's environmental education policy: An analysis of the National Education Nature Park

British Educational Research Journal, EarlyView.
Abstract The intertwined crises of climate change, biodiversity loss and environmental degradation represent profound global challenges. Education holds a unique role in enabling all young people to navigate uncertainty, participate meaningfully in decision‐making and contribute to more just and sustainable ways of living.
Julie Robinson, Elizabeth A.C. Rushton, Emma Towers   +2 more
wiley   +1 more source

High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from
Jen-Chi Lee, Catherine H. Yan, Yi Yang
doaj   +1 more source

Bell Numbers of Complete Multipartite Graphs [PDF]

Computer Science Journal of Moldova, 2016
The {\it Stirling number} $S(G;k)$ is the number of partitions of the vertices of a graph $G$ into $k$ nonempty independent sets and the number of all partitions of $G$ is its {\it Bell number}, $B(G)$.
Julian Allagan, Christopher Serkan
doaj  

Exchanging data between computational fluid dynamic and thermodynamic models for improving numerical analysis of Stirling engines

Energy Science & Engineering, 2021
In a numerical analysis of a Stirling engine, the thermal and flow fields in the cylinder are three‐dimensional and periodically varying. Therefore, a computational fluid dynamic (CFD) analysis may provide detailed solution but it takes a long ...
Chin‐Hsiang Cheng, Duc‐Thuan Phung
doaj   +1 more source

On stirling numbers of the second kind

Journal of Combinatorial Theory, 1969
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce functions L and U such that L(n, r)≤S(n, r)≤U(n, r), and finally obtain the asymptotic value n/log n for the value of r for which S(n, r) is maximal.
Rennie, B.C., Dobson, A.J.
openaire   +1 more source

On the Connection Between Stirling Numbers and Bessel Numbers [PDF]

The Electronic Journal of Combinatorics, 2022
We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and Bessel numbers. Our method is based on solving a particular recurrence relation in two different ways and comparing the coefficients in the resulting polynomial expressions.
openaire   +1 more source

Enhancing the Secretion Systems: Genetic Engineering of Super Bioagents for Effective Plant Disease Control

Biotechnology and Bioengineering, EarlyView.
Genetic engineering (GE) overcomes BCA limits, enabling robust, scalable crop protection. “Super Bioagents” (SBs) use optimized SSs to enhance bioactive molecule delivery. Optimizing SSs enhance precise, sustainable effector deployment for stable disease suppression. SBs use microbiome‐informed design for scalable, next‐gen sustainable crop protection.
Michael Dare Asemoloye
wiley   +1 more source

On the maximum of r-Stirling numbers

Advances in Applied Mathematics, 2008
\textit{A. Z. Broder} [Discrete Math. 49, 241--259 (1984; Zbl 0535.05006)] extensively studied \(r\)-Stirling numbers, which seem to have been introduced by Carlitz. By definition, the \(r\)-Stirling number of the first kind, \({n \brack m}_r\) counts the number of permutations of \(\{1,2,\ldots,n\}\) with \(m\) cycles, where the numbers \(1,2,\ldots,r\
openaire   +1 more source