Results 31 to 40 of about 67,232 (280)
Explicit formulae for Bernoulli numbers
AIMS MathematicsBy examining the connection coefficients, we systematically review and extend (with an extra integer parameter) several double sum expressions for the Bernoulli numbers. New summation formulae are also established explicitly.
Nadia N. Li , Wenchang Chu
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Divisibility by 2 and 3 of certain Stirling numbers
, 2008 The numbers e_p(k,n) defined as min(nu_p(S(k,j)j!): j >= n) appear frequently in algebraic topology. Here S(k,j) is the Stirling number of the second kind, and nu_p(-) the exponent of p. The author and Sun proved that if L is sufficiently large, then e_p(
Davis, Donald M
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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)
openaire +2 more sources
AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
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Boolean complexes for Ferrers graphs [PDF]
, 2010 In this paper we provide an explicit formula for calculating the boolean number of a Ferrers graph. By previous work of the last two authors, this determines the homotopy type of the boolean complex of the graph. Specializing to staircase shapes, we show
Claesson, Anders +3 more
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Advanced Intelligent Systems, EarlyView.Natural fliers achieve remarkable aerial performance through diverse wing neuromechanical systems integrating actuation, sensing, and control. This study synthesizes neuromechanical architectures in insects and hummingbirds, identifying two key functional types‐Dual Neural‐Mechanical Oscillator and Neurally‐modulated Mechanical Oscillator‐ and ...
Suyash Agrawal +4 more
wiley +1 more source
Study on Natural Gas Decarbonization Process Based on CO2 Desublimation Characteristics
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Natural gas decarbonization is a crucial processing step. In this study, the snow separation technology for removal of carbon dioxide in natural gas based on CO2 desublimation characteristics was introduced. The phase equilibrium calculation of CH4‐CO2 and N2‐CO2 system was carried out by using cubic equations of states (EOSs), and identified ...
Haiqin Wang +3 more
wiley +1 more source
On degenerate multi-poly-derangement polynomials and numbers
Applied Mathematics in Science and EngineeringThe problem of counting derangements was begun in 1708 by Pierre R[Formula: see text]mond de Montmort (see [Carlitz. The number of derangements of a sequence with given specification. Fibonacci Quart. 1978;16:255–258], [Clarke and Sved.
Sang Jo Yun, Jin-Woo Park
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Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models
Applied Stochastic Models in Business and Industry, EarlyView.ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco +4 more
wiley +1 more source
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
wiley +1 more source