Results 121 to 130 of about 15,466 (317)
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
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Nuclear Physics BThis article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
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Communications, 2010 In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
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Orthogonal polynomials on the disc
Journal of Approximation Theory, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotics of orthogonal polynomial’s entropy
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander I. Aptekarev +2 more
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Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]
We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite beta-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots of orthogonal polynomials converges almost surely to zero
Dette, Holger, Imhof, Lorens A.
core
Toward Fully Soft and Multifunctional Shape Sensing via Optical Waveguide Arrays
Advanced Intelligent Systems, EarlyView.This work develops a sheet made with arrays of soft optical fibers that can reconstruct its 3D surface shape. Synergy of the waveguides’ responses to bending and pressing force allows shape reconstruction with resilience to damage. Applied onto surfaces of robotic or living systems, our design can be implemented in virtual reality, teleoperation ...
Qifan Yu, Nina Cao, Kaitlyn Becker
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IET Networks, EarlyView., 2023 We utilise a metaheuristic optimisation method, inspired by nature, called the Lévy‐flight firefly algorithm (LFA), to tackle the power regulation and user grouping in the NOMA systems. Abstract The non‐orthogonal multiple access strategies have shown promise to boost fifth generation and sixth generation wireless networks' spectral efficiency and ...
Zaid Albataineh +4 more
wiley +1 more source
Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]
Entropy (Basel), 2022 Le Blanc R.
europepmc +1 more source
A Note on Orthogonal Polynomials
Rocky Mountain Journal of Mathematics, 1992 An important and useful identity in the study of asymptotic properties of orthogonal polynomials is the one stating: \(\int_ 0^{2\pi} z^ k| s_ n(z)|^{-2} d\theta=\int_ 0^{2\pi} z^ k d\mu(\theta)\), \(z=e^{i\theta}\), \(| k|\leq n\), \(n=0,1,2,\dots\), where \(d\mu\) is a finite positive Borel measure on the interval \([0,2\pi]\) with support on an ...
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