Results 71 to 80 of about 1,345 (195)
Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem [PDF]
We consider the numbers arising in the problem of normal ordering of expressions in boson creation a† and annihilation a operators ([a,a†]=1). We treat a general form of a boson string (a†)rnasn…(a†)r2as2(a†)r1as1 which is shown to be associated with generalizations of Stirling and Bell numbers.
Méndez, M. A. +2 more
openaire +2 more sources
This systematic review identified three studies comparing education, health, social, and self‐care outcomes among adolescents with Down syndrome who attended either mainstream or special secondary school. Two studies reported improved education outcomes among adolescents in mainstream secondary school.
Julia Shumway +4 more
wiley +1 more source
Generalizations of the Bell Numbers and Polynomials and Their Properties
In the paper, the authors present unified generalizations for the Bell numbers and polynomials, establish explicit formulas and inversion formulas for these generalizations in terms of the Stirling numbers of the first and second kinds with the help of ...
Da-Wei Niu +3 more
core +1 more source
Expert Memories: The Professional Construction of the Past and the Mnemonic Making of Occupations
Abstract This article introduces the special issue on occupations and memory in organizations. To foster increasing collaboration from scholars from both fields, we offer a general argument connecting memory and occupations on two levels. At the societal level, we show how memory experts, such as historians, archivists, and museologists, have played a ...
Diego M. Coraiola +4 more
wiley +1 more source
Sum rules for permutations with fixed points involving Stirling numbers of the first kind
We propose sum rules for permutations pn(k) of the ensemble {1,2,...,n} with k fixed points, in the form of partial sums of their moments. The corresponding identities involve Stirling numbers of the first kind s(q,r).
Jean-Christophe Pain
doaj +1 more source
Protocol for isolation and culture of primary proximal tubular epithelial cells from kidneys retrieved from brain‐dead organ donors and designated for research after rejection for transplantation. These cells, bbd‐PTEC, express canonical proximal tubule epithelial markers and demonstrate functional transport.
Daiki Aomura +6 more
wiley +1 more source
On Some Numbers Related to the Bell Numbers
The Bell numbers Bn can be defined by Bn= where S(n, k) is t n e Stirling number of the second kind. In this note we employ a technique developed by Rota (which formalizes the umbral calculus) to derive a veriety of facts concerning the related numbers ...
Stephen M. Tanny
core +1 more source
Abstract Introduction Species interactions are an overlooked yet important determinant of plant community assembly in ecological restoration. Specifically, they may determine species that are helped or hindered by neighboring plants during community assembly. Evidence suggests that intraspecific aggregation in combination with interspecific segregation
Lauren N. Svejcar +3 more
wiley +1 more source
Stirling, Bell and Euler numbers
U ovom radu proučavali smo Stirlingove brojeve. Izveli smo osnovne rekurzije za Stirlingove brojeve prve i druge vrste te smo izveli relaciju koja ih povezuje. Preko Stirlingovih brojeva druge vrste definirali smo Bellove brojeve.
Ukić, Tomislav
core
On a generalization of derangement polynomials and numbers
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj +1 more source

