Results 91 to 100 of about 5,802,809 (341)
Mitigating Losses in Hyperbolic Asymptotic Eigenmodes
Advanced Photonics Research, EarlyView.Herein, hyperbolic asymptotic eigenmodes, high‐k modes aligned with asymptotic directions in hyperbolic metamaterials, are introduced. By tuning permittivity tensors to balance loss compensation (Re(ε∥)/Re(ε⊥)=Im(ε∥)/Im(ε⊥))$\left(\right. \text{Re} \left(\right. \left(\epsilon\right)_{\parallel} \left.\right) / \text{Re} \left(\right.
Lu Song +5 more
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Asymptotic behavior of stable manifolds [PDF]
Proceedings of the American Mathematical Society, 1991 The relation between local stable manifolds of an ordinary differential equation and its discretization is studied. We show that a local stable manifold of a hyperbolic fixed point of an ordinary differential equation is the limit of local stable manifolds of the same fixed point of its discretizations as the discretization parameter h
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Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
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Complicated Asymptotic Behavior of Solutions for Heat Equation in Some Weighted Space
Abstract and Applied Analysis, 2012 We investigate the asymptotic behavior of solutions for the heat equation in the weighted space Y0σ(ℝN)≡{φ∈C(ℝN):lim |x|→∞(1+|x|2)-σ/2φ(x)=0}.
Liangwei Wang, Jingxue Yin
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Uncertainty principles and asymptotic behavior
Applied and Computational Harmonic Analysis, 2004 AbstractVarious uncertainty principles for univariate functions are studied, including classes of such principles not considered before. For many uncertainty principles for periodic functions, the lower bound on the uncertainty is not attained. By considering Riemann sums, we show that for functions whose Fourier coefficients are sampled from the ...
Goh, S.S., Goodman, T.N.T.
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Advanced Photonics Research, EarlyView.Extreme miniaturization of Fabry–Perot cavities has severe impacts on their spectral response and spatial distribution of the resonant modes. A fully analytical methodology is proposed accounting for the finite borders of the micromirrors to predict this behavior. Model validation relies on comparing with measurements obtained on silicon micro‐cavities
Ahmed Mahrous +5 more
wiley +1 more source
Reducing Personalization Time and Energy Cost While Walking Outdoors with a Portable Exosuit
Advanced Robotics Research, EarlyView.Rapid Real‐World Optimization! An AF‐based human‐in‐the‐loop optimization strategy rapidly personalizes a portable hip extension exosuit for incline walking. Real‐time Bayesian optimization of assistive force significantly reduces metabolic energy—up to 16.2%—while converging in just 3 min 24 s.
Kimoon Nam +7 more
wiley +1 more source
The asymptotic behavior of a class of nonlinear differential equations [PDF]
, 1967 Donald S. Cohen
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Asymptotic behavior of an intrinsic rank-based estimator of the Pickands dependence function constructed from B-splines. [PDF]
Extremes (Boston), 2023 Bücher A +3 more
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Asymptotic behavior of the irrational factor
Acta Mathematica Hungarica, 2008 We study the irrational factor function I(n) introduced by Atanassov and defined by \( I(n) = \prod\nolimits_{\nu = 1}^k {p_\nu ^{1/\alpha _\nu } } \), where \( n = \prod\nolimits_{\nu = 1}^k {p_\nu ^{\alpha _\nu } } \) is the prime factorization of n.
Alkan, E., Ledoan, A. H., Zaharescu, A.
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