Results 261 to 270 of about 1,010,494 (300)

Bioprosthetic vs. mechanical prostheses in patients aged 50-70 years undergoing aortic valve replacement surgery: outcomes analysis from propensity score matching. [PDF]

Eur Heart J Open
Courtney WA, Ng P, Budgeon C, Walker J, Butcher S, Lewin S, Waller LJ, Graham G, Gilbert T, Edelman J, Joshi P, Reid CM, Sanfilippo FM, Ihdayhid A, Briffa T, Hillis GS.   +15 more
europepmc   +1 more source

Young people's smoking and vaping behaviour, and comparative perceptions of appeal, imagery and harm, across different vape devices and a tobacco cigarette: findings from UK cross-sectional surveys in 2020 and 2023. [PDF]

Front Public Health
MacKintosh AM, Mitchell D, Hilton S, Smith M, Ford A.   +4 more
europepmc   +1 more source

‘It’s a bit of a mess’: the impact of later alcohol trading hours for bars and nightclubs in Scotland according to qualitative interviews with local stakeholders

Mitchell G, Maxwell KJ, O’Donnell R, Cook M, Uny I, Emslie C, Nicholls J, Fitzgerald N.   +7 more
europepmc   +1 more source

Generalized Stirling numbers and polynomials

, 1977
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Stirling Numbers for Complex Arguments

SIAM Journal on Discrete Mathematics, 1997
The authors define the Stirling numbers for the case of a complex argument by invoking the Cauchy integral formula. Some of the usual identities extend, but others do not. The properties of unimodality and monotonicity do extend.
B. RICHMOND, MERLINI, DONATELLA
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Stirling Numbers and Eulerian Numbers

2016
This chapter is dedicated to counting partitions of sets and partitions of sets into cycles, and also introduces Stirling numbers and Bell numbers. As an application of the concepts discussed here we state Faa di Bruno chain rule for the n-th derivative of a composite of n-times differentiable functions on \(\mathbb R\).
Carlo Mariconda, Alberto Tonolo
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The Arithmetic of Bell and Stirling Numbers

American Journal of Mathematics, 1948
Symbolic methods are used to obtain many of the properties of the Bell and Stirling numbers [cf. \textit{E. T. Bell}, Am. J. Math. 61, 89--101 (1939; Zbl 0020.10402)] modulo \(p\), a prime.
Becker, H. W., Riordan, John
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Log-concavity of stirling numbers and unimodality of stirling distributions

Annals of the Institute of Statistical Mathematics, 1988
A series of inequalities involving Stirling numbers of the first and second kind with adjacent indices are obtained, some of which show log- concavity of Stirling numbers in three directions. Some of them are new, others extend or improve earlier results.
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Computation of Stirling Numbers and Generalizations

2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2015
We consider the computation of Stirling numbers and generalizations for positive and negative arguments. We describe computational schemes for Stirling Partition and Stirling Cycle numbers, and for their generalizations to associated Stirling numbers. The schemes use recurrence relations and are more efficient than the current method used in Maple for ...
Silvana Ilie, David J. Jeffrey, Robert M. Corless, X. Zhang   +3 more
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Those Stirling Numbers Again

Canadian Mathematical Bulletin, 1961
In his book [1] Combinatorial Analysis, J. Riordan (p. 32) refers to the continual rediscovery of the Stirling numbers. The author of this note has been surprised on many occasions by the number of different environments in which these numbers make a natural appearance and, in fact, this article is concerned with just such an occurrence. The connection
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