Results 31 to 40 of about 293 (217)
On the p-adic valuations of some special Stirling numbers of the second kind
四川大学学报. 自然科学版, 2022 Let k and n be positive integers. The Stirling numbers of the second kind is defined as the number of ways to partition a set of n elements into exactly k non-empty subsets, denoted by S(n,k).
JI Qing-Bing, LU Jian
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A generalization of the Stirling numbers
Discrete Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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AxiomsExplicit formulas for graphical Stirling and Bell numbers are known for relatively few graph families. We derive exact expressions for three classes whose independence structure admits a complete combinatorial description: complete multipartite graphs ...
Julian Allagan +2 more
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
Discrete 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
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Journal of Combinatorial Theory, Series A, 1983 AbstractThe equivalence of two classical sums giving the Stirling numbers of first kind results from a joint law for records.
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Reserves, Injury Severity, and Outcomes in Traumatic Brain Injury: A CENTER‐TBI Observational Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Reserve refers to the brain's ability to maintain function after an injury and strongly relates to traumatic brain injury (TBI) outcomes. This study examined (1) whether associations between pre‐injury reserve proxies and outcomes differed across injury severity categories, and (2) whether the impact of injury severity varied across ...
Natascha Ekdahl +6 more
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
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Advanced Materials Technologies, EarlyView.A label‐free impedimetric biosensor based on electroactive 3D porous graphene foam enables ultrasensitive and selective detection of CD81 protein and MCF‐7 cell‐derived extracellular vesicles in human serum. Detection limits of 0.048 fg/mL for CD81 and ∼24 EVs/mL are achieved, demonstrating a robust platform for selective, label‐free, and ...
Michael Robert Furness +11 more
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Generalized Tepper’s Identity and Its Application
Mathematics, 2020 The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the ...
Dmitry Kruchinin +2 more
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