Results 81 to 90 of about 144,269 (377)
Journal of Number Theory, 1990 AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our earlier results (Theorems 1 and 2), yields a simple procedure for showing that Catalan's equation xp − yq = 1 has only trivial solution (x, y) in integers for a large set of prime pairs (p, q) (cf. particularly Theorems 6 and 8).
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Assessing the societal influence of academic research with ChatGPT: Impact case study evaluations
Journal of the Association for Information Science and Technology, EarlyView.Abstract Academics and departments are sometimes judged by how their research has benefited society. For example, the UK's Research Excellence Framework (REF) assesses Impact Case Studies (ICSs), which are five‐page evidence‐based claims of societal impacts.
Kayvan Kousha, Mike Thelwall
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La ricezione del sionismo nella stampa cattolica italiana (1897-1917). Una ricerca in corso
Storicamente, 2011 This article intends to examine the reception of the first Zionism by the Italian Catholic press close to the Holy See: "Osservatore Romano" and "Civiltà Cattolica".
Tullia Catalan
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Discrete Mathematics, 1976 AbstractWe develop an arithmetic triangle similar to Pascal's triangle. The entries are interpreted in terms of numbers of pairs of nonintersecting paths in the first quadrant. The main applications are results about the Catalan numbers and various random walk problems.
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An integral representation, complete monotonicity, and inequalities of the Catalan numbers
, 2018 In the paper, by virtue of the Cauchy integral formula in the theory of complex functions, the authors establish an integral representation for the generating function of the Catalan numbers in combinatorics.
Feng Qi (祁锋) +2 more
semanticscholar +1 more source
BioEssays, EarlyView.This commentary explores the potential of wastewater‐based epidemiology (WBE) as a complementary approach for antimicrobial resistance (AMR) surveillance. WBE may provide early, community‐level insights into resistance trends, supporting timely interventions.
José L. Balcázar
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Languages, 2020 Multilingual communities often exhibit asymmetry in directionality by which the majority language exerts greater influence on the minority language.
Justin Davidson
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Catalan pairs and Fishburn triples [PDF]
arXiv, 2015 Disanto, Ferrari, Pinzani and Rinaldi have introduced the concept of 'Catalan pair', which is a pair of partial orders (S,R) satisfying certain axioms. They have shown that Catalan pairs provide a natural description of objects belonging to several classes enumerated by Catalan numbers. In this paper, we first introduce another axiomatic structure (T,
arxiv
Fuss-Catalan numbers and planar partitions [PDF]
arXiv, 2023 We show how the Fuss-Catalan numbers $ \frac{1}{p n+1}\binom{pn+1}{n}$ enter different problems of counting simple and multiple planar partitions.
arxiv
ChemCatChem, EarlyView.This review provides a comprehensive overview of recent advances in catalyst development, experimental setups, and analytical methods for electrochemical glycerol oxidation. Emphasis is placed on the challenges in understanding reaction mechanisms and the importance of standardising data reporting and methodologies for electrochemical measurements and
Hanzhi Ye +8 more
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