Results 71 to 80 of about 212 (165)
Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint [PDF]
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Kim, Dae San +3 more
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ABSTRACT Simplicial–simplicial regression concerns statistical modeling scenarios in which both the predictors and the responses contain vectors constrained to lie on the simplex. Fiksel et al. introduced a transformation‐free linear regression framework for this setting, wherein the regression coefficients are estimated by minimizing the Kullback ...
Michail Tsagris, Omar Alzeley
wiley +1 more source
This study reveals that Hainan Peacock‐Pheasants and Silver Pheasants coexist through distinct temporal and spatial niche partitioning. However, human disturbance disrupts their positive association, as the sensitive Peacock‐Pheasant avoids high‐impact areas while the tolerant Silver Pheasant persists. Consequently, anthropogenic pressure renders their
Xiangxiang Lu +4 more
wiley +1 more source
Some identities of degenerate special polynomials
In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials.
Kim Dae San, Kim Taekyun
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
wiley +1 more source
Large Deviations of the Giant Component in Scale‐Free Inhomogeneous Random Graphs
ABSTRACT We study large deviations of the size of the largest connected component in a general class of inhomogeneous random graphs with iid weights, parametrized so that the degree distribution is regularly varying. We derive a large‐deviation principle with logarithmic speed: the rare event that the largest component contains linearly more vertices ...
Joost Jorritsma, Bert Zwart
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A finite difference approach to degenerate Bernoulli and Stirling polynomials
For a polynomial \(f(x, y)\), define the divided difference as \[ \nabla_y f(x,y)= (f(x+ y,y)- f(x,y))/ y. \] The author studies the polynomials \(A_{n,s} (x,y)= \nabla^s_y {x\choose {s+n}}\) and \(B_{n,s} (y)= A_{n,s} (0,y)\) for \(n,s= 0, 1, 2,\dots\;\). He finds various symmetries and proves results about zeros, divisibility and irreducibility (over
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ABSTRACT The human microbiome plays a crucial role in health, but understanding its dynamic relationship with the host requires regular monitoring. Beyond challenges such as high dimensionality and sparsity, additional complexities arise, particularly within‐cluster correlation from repeated measures and pervasive missing data. To address these issues,
Jinyuan Liu +10 more
wiley +1 more source
Some identities relating to degenerate Bernoulli polynomials
Recently, Carlitz degenerate Bernoulli numbers and polynomials have been studied by several authors (see [3,4]). In this paper, we consider new degenerate Bernoulli numbers and polynomials, different from Carlitz degenerate Bernoulli numbers and polynomials, and give some formulae and identities related to these numbers and polynomials.
Taekyun Kim, Dae Kim, Hyuck-In Kwon
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