Results 111 to 120 of about 2,687,450 (307)
Raman signal extraction from CARS spectra using a learned-matrix representation of the discrete Hilbert transform. [PDF]
Camp CH.
europepmc +1 more source
The use of Hilbert Transform is becoming more and more Important for analysis and processing of geophysical data. However, the direct mathematical formulation in the form of contour integration is not easy to pro. A specific formulation which relates the Hilbert transform and the Fourier transform has been established for developing a computer ...
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Synthesis of Spatially Correlated Earthquake Ground Motions Based on Hilbert Transform
A simplified method for synthesizing spatially correlated earthquake ground motions is developed based on Hilbert transform and a reference earthquake record. In this method, one reference earthquake record is treated as the original ground motion, based
Erlei Yao, Yu Miao, Guobo Wang
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Prediction of Protein-Protein Interactions in Arabidopsis, Maize, and Rice by Combining Deep Neural Network With Discrete Hilbert Transform. [PDF]
Pan J +5 more
europepmc +1 more source
For \(f\in L^{p}(\mathbb{R})\), \(1\leq p\leq \infty\), its Hilbert transform is defined by \(\tilde{f}(x)=\frac{1}{\pi}(p.v.)\int_{-\infty}^{\infty}\frac{f(t)}{x-t}dt\). For \(E\) a union of disjoint compact intervals, i.e. \(\displaystyle E=[a_{1}, a_{2}]\cup [a_{3}, a_{4}]\cup \dots [a_{2 k-1}, a_{2 k}]\), where \(a_{1}1\) then the inversion formula
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ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Social Sustainability in Circular Bioeconomy Business Models: Insights From Argentina
ABSTRACT Research on circular bioeconomy business models (CBEBM) has largely prioritised environmental and economic aspects, leaving out the social pillar. To address this gap, this paper analyses to what extent and in what ways social sustainability is integrated into CBEBM, based on 12 cases from northern Argentina, a region with high potential for ...
Celina N. Amato +2 more
wiley +1 more source
ABSTRACT Diagnosing high‐impedance ground faults (HIGFs) in distribution networks is extremely challenging because high transition resistance significantly reduces electrical signal strength and unpredictable initial fault phase angles coupled with asymmetric voltage disturbances often lead to misclassification.
Zhengyang Li +5 more
wiley +1 more source

