Results 51 to 60 of about 47,314 (210)
On the Symmetries of the q‐Bernoulli Polynomials [PDF]
Abstract and Applied Analysis, 2008 Kupershmidt and Tuenter have introduced reflection symmetries for the q‐Bernoulli numbers and the Bernoulli polynomials in (2005), (2001), respectively. However, they have not dealt with congruence properties for these numbers entirely. Kupershmidt gave a quantization of the reflection symmetry for the classical Bernoulli polynomials. Tuenter derived a
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Restricted Tweedie stochastic block models
Canadian Journal of Statistics, EarlyView.Abstract The stochastic block model (SBM) is a widely used framework for community detection in networks, where the network structure is typically represented by an adjacency matrix. However, conventional SBMs are not directly applicable to an adjacency matrix that consists of nonnegative zero‐inflated continuous edge weights.
Jie Jian, Mu Zhu, Peijun Sang
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Journal of Applied Econometrics, EarlyView.ABSTRACT Double/debiased machine learning (DML) uses for estimating an average treatment effect (ATE) a double‐robust score function that relies on the prediction of nuisance functions, such as the propensity score, which is the probability of treatment assignment given covariates.
Daniele Ballinari, Nora Bearth
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
, 2013 The \emph{Barnes $\zeta$-function} is \[ \zeta_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for $\Re(x) > 0$ and $\Re(z) > n$ and continued meromorphically to $\C$.
Bayad, Abdelmejid, Beck, Matthias
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Integral Formulae of Bernoulli Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +4 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Latin American Journal of Solids and StructuresThe convergence characteristic of the conventional two-noded Euler-Bernoulli piezoelectric beam finite element depends on the configuration of the beam cross-section.
Litesh N. Sulbhewar, P. Raveendranath
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Orthogonal polynomial kernels and canonical correlations for Dirichlet measures
, 2013 We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coefficients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Griffiths, Robert C., Spanò, Dario
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Representing polynomials by degenerate Bernoulli polynomials
Quaestiones Mathematicae, 2022 19 ...
Kim, Dae San, Kim, Taekyun
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Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
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