Results 61 to 70 of about 51,456 (294)

On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
Let $n$ and $k$ be positive integers, $d(k)$ and $\nu_2(k)$ denote the number of ones in the binary representation of $k$ and the highest power of two dividing $k$, respectively.
Tamás Lengyel
doaj   +1 more source

Measuring what matters: Evaluating the impact of curriculum decolonisation initiatives in UK business schools

open access: yesBritish Educational Research Journal, EarlyView.
Abstract Curriculum decolonisation has become a prominent feature of equity agendas in UK higher education, yet there remains limited empirical and theoretical work on how such initiatives are evaluated, particularly within business schools. This paper presents one of the first multi‐institutional empirical studies examining how UK business schools ...
Sally Everett   +2 more
wiley   +1 more source

On Degenerate Truncated Special Polynomials

open access: yesMathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Extended Bell and Stirling numbers from hypergeometric exponentiation [PDF]

open access: yes, 2001
Exponentiating the hypergeometric series 0FL(1,1,...,1;z), L = 0,1,2,..., furnishes a recursion relation for the members of certain integer sequences bL(n), n = 0,1,2,....
A. I. Extended Bell   +6 more
core   +4 more sources

Multisectioned moments of stirling numbers of the second kind

open access: yesJournal of Combinatorial Theory, Series A, 1973
The Stirling number of the second kind, S(n, k), enumerates the ways that n distinct objects can be stored in k non-empty indistinguishable boxes. When k is restricted to a given residue class modulo μ, the moments of the distribution S(n, k) have properties associated with the Olivier functions of order μ evaluated at 1 and −1. The simplest example is
openaire   +1 more source

Diet of bird‐like troodontid dinosaurs: synthesis of a contentious clade

open access: yesBiological Reviews, EarlyView.
ABSTRACT Troodontidae is a clade of small‐to medium‐sized maniraptoran theropods that mainly lived in Laurasia (modern Asia, North America and Europe) during the Jurassic and Cretaceous periods and are believed to have had a variety of diets. The uniqueness of troodontid teeth suggests that they diverged from the typical flesh‐based diet of non‐avian ...
Yui Chi Fan   +2 more
wiley   +1 more source

Refinements of the Bell and Stirling numbers [PDF]

open access: yesTransactions on Combinatorics, 2018
‎‎We introduce new refinements of the Bell‎, ‎factorial‎, ‎and unsigned Stirling numbers of the first and second kind that unite the derangement‎, ‎involution‎, ‎associated factorial‎, ‎associated Bell‎, ‎incomplete Stirling‎, ‎restricted factorial ...
Tanay Wakhare
doaj   +1 more source

Binomial transform and the backward difference

open access: yes, 2017
We prove an important property of the binomial transform: it converts multiplication by the discrete variable into a certain difference operator. We also consider the case of dividing by the discrete variable.
Boyadzhiev, Khristo N.
core   +1 more source

Versatile Palladium‐Catalyzed C‐H Arylation of Fluoroarenes with 2‐Chloropyridine Derivatives

open access: yesChemistry – A European Journal, EarlyView.
Direct C─H arylation of fluoroarenes with 2‐chloropyridines is enabled by a simple Pd/SPhos system in isopropyl acetate. The method uses inexpensive reactants and shows broad scope and high yields. DFT computations explain reactivity and selectivity.
Federico Belnome   +6 more
wiley   +1 more source

Computing a family of probabilistic numbers in terms of probabilistic Stirling numbers of the second kind

open access: yesApplied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
doaj   +1 more source

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