Results 21 to 30 of about 21,203 (171)
Topological coordination numbers and coordination reciprocity from electron‐density distributions
Acta Crystallographica Section A, Volume 81, Issue 3, Page 221-244, May 2025.An approach is presented to calculate topological coordination numbers (tCNs) obeying the principle of coordination reciprocity from solid angles subtended by the interatomic surfaces of electron density (QTAIM) atomic domains. The tCN approach characterizes a compound's coordination situation as a set of sub‐coordination scenarios with associated ...
Frank R. Wagner +2 more
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Iterative solutions of Wiener-Hopf integral equations [PDF]
Quarterly of Applied Mathematics, 1963 A method of iteration is used to study integral equations of the Wiener-Hopf type. In the case of a single integral equation, it is found that the iterative solution can be summed to give the known results. In the case of two coupled integral equations, where the general solution is not known, the iterative solution can be reduced to expressions in ...
Wu, Tai Te, Wu, Tai Tsun
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Advanced Photonics Research, Volume 6, Issue 4, April 2025.In this article, hybrid probabilistic and geometric constellation shaping to enhance spectral efficiency in coherent optical communication systems, particularly under a Wiener phase noise channel, is investigated. By integrating a two‐stage phase search algorithm with digital signal processing and gradient descent, the method outperforms geometrically ...
Zhiyang Liu +5 more
wiley +1 more source
IMPLICIT WIENER-HOPF EQUATIONS AND QUASI VARIATIONAL INEQUALITIES
Albanian Journal of Mathematics, 2008 In this paper, we introduce and consider a new class of WienerHopf equations involving the nonlinear operator and nonexpansive operators, which is called the implicit Wiener-Hopf equations.
M. Noor
semanticscholar +1 more source
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source
IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.The diffraction by a finite parallel‐plate waveguide cavity with perfect electric conductor loading is rigorously analysed for the E‐polarised case using the Wiener–Hopf technique. Numerical computations of the radar cross‐section have been performed for different physical parameters, providing a detailed analysis of the scattering characteristics ...
Tong Zhang, Kazuya Kobayashi
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IET Microwaves, Antennas &Propagation, Volume 19, Issue 1, January/December 2025.This paper investigates H‐polarised wave diffraction by a finite parallel‐plate waveguide cavity using the Wiener–Hopf technique, and numerical results are presented to illustrate the scattering characteristics under various conditions. ABSTRACT This work presents a rigorous analysis of H‐polarised wave diffraction by a finite parallel‐plate waveguide ...
Tong Zhang, Kazuya Kobayashi
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Clutter rank estimation for the multistage Wiener filter
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.The authors propose an algorithm that determines the rank of the sea clutter and relates it to the number of stages in the multistage Wiener filter. The algorithm presented is formulated as a model order estimation problem that utilises the minimum description length (MDL).
Rachel Gray +3 more
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Singular Integral Equations of Convolution Type With Carleman Shift
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This article discusses a few different types of singular integral equations of the convolution type with Carleman shift in class {0}. By using the theory of Fourier analysis, these equations under consideration are transformed into Riemann–Hilbert boundary value problems for analytic functions with shift and discontinuous coefficients.
A. S. Nagdy +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper investigates Mittag–Leffler synchronization (MLSY) for variable‐order fractional Gierer–Meinhardt reaction‐diffusion systems (VFO‐GM‐RDs). We introduce, for the first time, a distributed control scheme specifically designed to achieve MLSY in these complex systems. A key contribution is the derivation of an explicit analytical expression for
Osama Ogilat +5 more
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