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We construct frames adapted to a given cover of the time-frequency or time-scale plane. The main feature is that we allow for quite general and possibly irregular covers. The frame members are obtained by maximizing their concentration in…

泛函分析 · 数学 2015-04-27 Monika Dörfler , José Luis Romero

A widespread, intuitive and computationally inexpensive method to analyze light guidance through waveguide bends is by introducing an equivalent straight waveguide with refractive index profile modified to account for actual waveguide bend.…

光学 · 物理学 2007-05-23 Dzmitry M. Shyroki

The paper discusses the relationships between electrical and affine differential geometry quantities, establishing a link between frequency and time derivatives of voltage, through the utilization of affine geometric invariants. Based on…

微分几何 · 数学 2024-09-26 Ali Alshawabkeh , Georgios Tzounas , Angel Molina-Garcia , Federico Milano

The formulas in the above Erratum are corrected.

高能物理 - 唯象学 · 物理学 2007-05-23 T. Csorgo

The aim of this communication is to correct inaccurate statements presented in a Commentary on the paper titled: "Radiation forces and torque on a rigid elliptical cylinder in acoustical plane progressive and (quasi)standing waves with…

经典物理 · 物理学 2020-07-21 F. G. Mitri

There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

数学物理 · 物理学 2025-06-23 Bernard S. Kay

Comment on "Liquids on Topologically Nanopatterned Surfaces" by O. Gang et al, Phys. Rev. Lett. 95, 217801 (2005). See also an erratum published by O. Gang et al (Phys Rev Lett, to appear)

统计力学 · 物理学 2009-11-13 C. Rascon

Observations of metal absorption systems in the spectra of distant quasars allow to constrain a possible variation of the fine-structure constant throughout the history of the Universe. Such a test poses utmost demands on the wavelength…

This paper contains a correction of a mistake made in arXiv:1405.1324

微分几何 · 数学 2018-10-18 Pascal Collin , Laurent Hauswirth , Laurent Mazet , Harold Rosenberg

In the realm of signal processing, frequency and spectrum detection are fundamental tasks that can be computationally intensive. This project leverages the power of FPGAs to perform wavelet analysis on an input signal. The goal is to detect…

硬件体系结构 · 计算机科学 2024-12-31 Caleb Hill , Darshika G. Perera

We present a Parseval tight wavelet frame for the representation and analysis of velocity vector fields of incompressible fluids. Our wavelets have closed form expressions in the frequency and spatial domains, are divergence free in the…

数值分析 · 计算机科学 2019-03-27 Christian Lessig

Recently, we discovered a mistake in our Letter on phase dynamics in granular d-wave superconductors, which we corrected in an Erratum published last week. This is an expanded version of the Erratum, containing details and supporting…

超导电性 · 物理学 2009-11-10 Yogesh N. Joglekar , A. H. Castro Neto , Alexander V. Balatsky

In optical devices like diffraction gratings and Fresnel lenses, light wavefront is engineered through the structuring of device surface morphology, within thicknesses comparable to the light wavelength. Fabrication of such diffractive…

光学 · 物理学 2021-07-28 S. L. Oscurato , F. Reda , M. Salvatore , F. Borbone , P. Maddalena , A. Ambrosio

Diverse applications in photonics and microwave engineering require a means of measurement of the instantaneous frequency of a signal. A photonic implementation typically applies an interferometer equipped with three or more output ports to…

This erratum revokes the main conclusion of a Letter that reported measurements of cross sections for deep-inelastic scattering (DIS) of leptons on $^3$He and $^{14}$N targets, expressed as ratios of $\sigma_A / \sigma_D$ to the cross…

高能物理 - 实验 · 物理学 2009-04-15 HERMES Collaboration , A. Airapetian

Future Extremely Large Telescopes (ELTs) will require advances in Adaptive Optics (AO) systems to fully realize their potential. In addition to separate, dedicated wavefront sensors, it is recognized that wavefront sensing within the…

天体物理仪器与方法 · 物理学 2022-08-16 Edward L. Chapin , Jennifer Dunn , Tim Hardy , Owen Hubner , Jordan Lothrup

The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied. Then one proceeds to the…

高能物理 - 唯象学 · 物理学 2008-11-26 I. M. Dremin

The Sudden Approximation is applied to invert structural data on randomly corrugated surfaces from inert atom scattering intensities. Several expressions relating experimental observables to surface statistical features are derived. The…

材料科学 · 物理学 2016-08-31 Daniel A. Lidar

This article presents a novel type of very long baseline astronomical interferometer that uses the fluctuations, as a function of time, of the intensity measured by a quadratic detector, which is a common type of astronomical detector. The…

天体物理仪器与方法 · 物理学 2013-09-24 Ermanno F. Borra

Corrigendum : An inverse problem in corrosion detection:stability estimates, J. Inv. Ill-posed Problems 12 (4) (2004), 349-367.

偏微分方程分析 · 数学 2017-03-30 Mourad Choulli