Results 81 to 90 of about 44,005 (262)

Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers

open access: yesAbstract and Applied Analysis, 2014
A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of ...
Junesang Choi
doaj   +1 more source

Binomial Series without Binomial Coefficients

open access: yes, 2023
Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. Also, the computational science is a rapidly growing interdisciplinary area where science, computation, mathematics, and its collaboration use advanced computing ...
openaire   +1 more source

Predictors of authorised, unauthorised and persistent absence among secondary school pupils in Scotland

open access: yesBritish Educational Research Journal, EarlyView.
Abstract This article examines the factors associated with persistent absenteeism (an absence rate of 10% or higher) and authorised and unauthorised absence among secondary school pupils in Scotland. Using linked administrative data, the analysis focuses on secondary school stages S1–S6 in three academic years.
Silvia Behrens   +6 more
wiley   +1 more source

Parametric Integrals for Binomial Series with Harmonic Polynomials

open access: yesAxioms
Binomial series involving harmonic polynomials are expressed in terms of parametric integrals. By evaluating these parametric integrals, we establish several remarkable closed formulae for the infinite series containing both central binomial coefficients
Chunli Li, Wenchang Chu
doaj   +1 more source

Breaking point: Identifying the factors that predict suspension from school

open access: yesBritish Educational Research Journal, EarlyView.
Abstract School suspensions are associated with adverse educational and psychosocial outcomes, yet little is known about how structural disadvantage, relational factors, health behaviours, well‐being indicators and school‐level factors jointly predict suspension risk in England.
Stephanie Cahill   +5 more
wiley   +1 more source

Some congruence properties of binomial coefficients and linear second order recurrences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
Using elementary methods, the following results are obtained:(I) If p is prime, 0≤m≤n ...
Neville Robbins
doaj   +1 more source

Orchard netting impacts on biodiversity leading to cascading effects at the ecosystem level

open access: yesBiological Reviews, EarlyView.
ABSTRACT Agriculture must ensure food production without further compromising the ecosystem functions upon which it depends. Agricultural practices should therefore avoid harming farmland biodiversity, especially of taxa that supply the key ecosystem services (e.g.
Corrado Alessandrini   +13 more
wiley   +1 more source

Reduction of the sum of the weighted equal powers to explicit combinatorial representation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The paper contains the proof of the statement that the component of the sum of weighted powers with natural bases and equal parameters, dependent on weight coefficients, is equal to the sum of products of binomial and weight coefficients.
Alexander I Nikonov
doaj  

Global Energy Corporations and Climate Change: The Role of Formal and Informal Institutions in Shaping Climate Change Risk Disclosure

open access: yesBusiness Strategy and the Environment, EarlyView.
ABSTRACT This study examines climate change risk disclosure in the global energy sector, where firms face intense stakeholder scrutiny and legitimacy pressures. We develop a novel domain‐specific textual analysis measure to capture climate change risk disclosures, improving on prior approaches based on generic environmental terminology.
Khaldoon Albitar, Ali Meftah Gerged
wiley   +1 more source

Gauss Sums and Binomial Coefficients

open access: yesJournal of Number Theory, 2002
Let \(p= tn+r\) be a prime which splits in \(\mathbb{Q}(\sqrt{-t})\) where \(t\) has one of the following forms \[ \begin{aligned} t= k>3 &\;\text{ for a prime } k\equiv 3\pmod 4,\\ t= 4k &\;\text{ for a prime } k\equiv 1\pmod 4,\\ t= 8k &\;\text{ for an odd prime } k.
Lee, DH, Hahn, SG Hahn, Sang-Geun
openaire   +2 more sources

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