Results 131 to 140 of about 47,854 (237)
Study of the electromagnetic field generated by a magnetic pendulum
In this paper the electromagnetic (EM) field expressions for a magnetic pendulum are derived. The mechanical frequency and the magnetic dipole moment are found by applying mechanical-kinetic theory.
Buyun Wang +4 more
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The theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain +2 more
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Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir +3 more
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Reactive Mixing Fronts in Porous Media Under Transverse Velocity Gradients
Abstract Mixing‐limited reactions in porous media depend on concentration gradients at interfaces, yet their behavior in nonuniform co‐flow remains poorly understood. Here we develop a closed‐form theory for irreversible reactions A+B→P $A+B\to P$ in a co‐flow where a transverse velocity gradient makes transverse hydrodynamic dispersion vary linearly ...
Yubo Cheng +4 more
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On solving the second boundary value problem for the Viscous Transonic Equation
In a rectangular domain, the second boundary value problem for the Viscous Transonic Equation is considered. The uniqueness of the solution to the problem is proved using the energy integral method. The existence of a solution is proved by the method of
Yu.P. Apakov, Kh.K. Ibrokhimov
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The quantum group of plane motions and the Hahn-Exton q-Bessel function
The topic under consideration in this paper is a typical example of a natural setting for \(q\)-hypergeometric functions in association with quantum groups. Hahn-Exton \(q\)-Bessel functions were first discussed in the literature by \textit{W. Hahn} [Z. Angew. Math. Mech. 33, 270-272 (1953; Zbl 0051.155)] for a special case, and \textit{H.
openaire +3 more sources
ABSTRACT An efficient semi‐analytical approach based on the Fourier–Bessel series (FBS) system of vector functions and the stiffness matrix method is proposed to study the dynamic response of axially loaded piles embedded in transversely isotropic (TI) layered soil.
Quoc Kinh Tran +5 more
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In this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir +4 more
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Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation
ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
wiley +1 more source

