Results 41 to 50 of about 147,953,414 (272)
Mathematics, 2019 In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
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Close Encounters with the Stirling Numbers of the Second Kind [PDF]
Mathematics Magazine, 2012 19 pages. This is a modified version of the paper published in the Math Magazine (2012)
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Heat‐to‐Electricity Conversion Using Barium Strontium Titanate Multilayer Capacitors
Advanced Science, EarlyView.Lead‐free barium strontium titanate multilayer capacitors convert waste heat into electricity via the Olsen electro‐thermodynamic cycle. These capacitors achieve an energy density of 3.7 J cm−3, comparable to the performance of lead‐based ceramics. Their high dielectric strength and broad operating temperature window below 100°C make them practical for
Fan Ni +10 more
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Multisectioned moments of stirling numbers of the second kind
Journal 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
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On the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind
Results in Mathematics, 2021 The Stirling numbers of the second kind S(n, k) satisfy S(n, 0)<¿<S(n, kn)=S(n, kn+1)>¿>S(n, n).A long standing conjecture asserts that there exists no n= 3 such that S(n, kn) = S(n, kn+ 1). In this note, we give a characterization of this conjecture in terms of multinomial probabilities, as well as sufficient conditions on n ensuring that
José A. Adell, Daniel Cárdenas-Morales
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Putting the environment at the heart of prosperity & social inclusion: The Stirling Protocol [PDF]
, 2020 Scotland’s Programme for Government 2019-20, Protecting Scotland’s Future, sets out an ambitious target to achieve net-zero greenhouse gas emissions by 2045.
Rogers, John +4 more
core
Batteries &Supercaps, Volume 8, Issue 3, March 2025.A micro‐supercapacitor with electrodeposited iron oxyhydroxide (FeOOH) as the negative electrode and birnessite manganese oxide (MnO2) as the positive electrode achieves a 2 V working voltage, stable cycling in an aqueous electrolyte, and high energy and power densities of 21 μWh cm‐2 and 2.5 mW cm‐2 respectively.
Filipe Braga +6 more
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British 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
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Probabilistic multi-Stirling numbers of the second kind associated with random variables
Applied Mathematics in Science and EngineeringThis paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu +4 more
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THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND [PDF]
International Journal of Number Theory, 2012 In this paper, we investigate the 2-adic valuations of the Stirling numbers S(n, k) of the second kind. We show that v2(S(4i, 5)) = v2(S(4i + 3, 5)) if and only if i ≢ 7 (mod 32). This confirms a conjecture of Amdeberhan, Manna and Moll raised in 2008. We show also that v2(S(2n+ 1, k + 1)) = s2(n) - 1 for any positive integer n, where s2(n) is the sum ...
Hong, Shaofang +2 more
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