Results 71 to 80 of about 1,345 (195)

Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem [PDF]

open access: yesJournal of Mathematical Physics, 2005
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

Mainstream or special secondary school for the health, education, and well‐being of adolescents with Down syndrome: A systematic review

open access: yesDevelopmental Medicine &Child Neurology, Volume 68, Issue 6, Page 755-766, June 2026.
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

open access: yes, 2017
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

open access: yesJournal of Management Studies, Volume 63, Issue 4, Page 1709-1738, June 2026.
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

open access: yesIndonesian Journal of Combinatorics
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

Isolation and functional characterization of primary human proximal tubular epithelial cells from brain‐dead organ donors

open access: yesPhysiological Reports, Volume 14, Issue 11, June 2026.
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

open access: yes, 1975
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

Seeding in single species aggregations promotes evenness of diverse shrub species in Banksia woodlands in the first year of growth

open access: yesRestoration Ecology, Volume 34, Issue 4, May 2026.
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

open access: yes, 2019
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

open access: yesDemonstratio Mathematica
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

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