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Stirling Numbers of the Second Kind
, 2014 Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or Stirling partition numbers, sometimes denoted {n k}, count the number of ways to partition a set of n elements into k discrete, nonempty subsets.
Dickau, Robert
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Sustainable Development, EarlyView.ABSTRACT ‘Hard’ natural sciences have extensively been used to provide evidence that climate change is happening and climate action is needed. If the contribution of our economic activities to disturbing our climate systems is now largely accepted, the way in which we design and operationalise ‘climate action’—how we transition to more sustainable ...
Sandrine Simon
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Some Identities Involving $q$-Stirling Numbers of the Second Kind in Type B [PDF]
International audienceThe recent interest in type B $q$-Stirling numbers of the second kind prompted us to give a type B analogue of a classical identity connecting the $q$-Stirling numbers of the second kind and Carlitz's major $q$-Eulerian numbers ...
Zeng, Jiang, Ding, Mingjian
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The q-Stirling numbers of the second kind and its applications
Journal of Nonlinear Sciences and Applications, 2018 Summary: The study of \(q\)-Stirling numbers of the second kind began with \textit{L. Carlitz} [Duke Math. J. 15, 987--1000 (1948; Zbl 0032.00304)]. Following Carlitz, we derive some identities and relations related to \(q\)-Stirling numbers of the second kind which appear to be either new or else new ways of expressing older ideas more comprehensively.
Kim, Min-Soo, Kim, Daeyeoul
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Sustainable Development, EarlyView.ABSTRACT Climate change is reshaping everyday life in Ghana through coastal erosion, flooding, erratic rainfall, water scarcity, extreme heat, and agricultural insecurity. This study examines how these changes produce stress, trauma, and gendered resilience among women in Salakope and Choggu Yapalsi, two climate‐vulnerable communities in coastal and ...
Jacob Kwakye
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Bounds on the location of the maximum Stirling numbers of the second kind
Discrete Mathematics, 2009 Let K_n denote the smaller mode of the nth row of Stirling numbers of the second kind S(n, k). Using a probablistic argument, it is shown that for all n>=2, [exp(w(n))]-2<=K_n<=[exp(w(n))]+1, where [x] denotes the integer part of x, and w(n) is Lambert's W-function.
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Scalable Room‐Temperature Terahertz Graphene Cameras
Small Methods, EarlyView.ABSTRACT Terahertz (THz) imaging has emerged as a powerful tool for non‐destructive, label‐free analysis across several scientific disciplines, ranging from materials science to biomedical research. By capturing the spatial‐dependent information in a broad range of frequencies, this technique enables the identification of chemical composition ...
Lili Shi +2 more
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A generalization of stirling numbers of the second kind via a special multiset
, 2010 Stirling numbers of the second kind and Bell numbers are intimately linked through the roles they play in enumerating partitions of n-sets. In a previous article we studied a generalization of the Bell numbers that arose on analyzing partitions of a ...
Griffiths, Martin, Mezo, István
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Systems Research and Behavioral Science, EarlyView.ABSTRACT This paper presents an innovative integration of structured democratic dialogue with a multi‐criteria evaluation step designed to strengthen participatory decision‐making for complex socio‐ecological challenges. Conducted virtually with Communities of Practice focused on multi‐species governance, the process combined systemic mapping of ...
Yiannis Laouris +8 more
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High Voltage, EarlyView.ABSTRACT This paper provides an overview of high‐temperature superconducting (HTS) cables in DC systems, with a focus on their deployment in high‐voltage DC (HVDC) networks. The assessment of HTS cable properties—such as extremely low electrical resistance, high current‐carrying capacity and a compact geometry—and their comparison with those of ...
Mohammad Hossein Mousavi +2 more
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