Results 41 to 50 of about 645,441 (285)
Possibilities of classical trigonometric Fourier series are substantially limited in 2-D and 3-D boundary value problems. Boundary conditions of such problems for areas with curvilinear boundaries often fails when using the classical Fourier series.
Victor L Leontiev
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Complementarity of Long‐Reads and Optical Mapping in Parkinson's Disease for Structural Variants
ABSTRACT Objective Long‐read sequencing and optical genome mapping technologies have the ability to detect large and complex structural variants. This has led to the discovery of novel pathogenic variants in neurodegenerative movement disorders. Thus, we aimed to systematically compare the SV detection capabilities of OGM and ONT in Parkinson's disease.
André Fienemann +17 more
wiley +1 more source
A Vector Representation of Multicomplex Numbers and Its Application to Radio Frequency Signals
Hypercomplex numbers, which are multi-dimensional extensions of complex numbers, have been proven beneficial in the development of advanced signal processing algorithms, including multi-dimensional filter design, linear regression and classification.
Daniele Borio
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Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
wiley +1 more source
Sparse Optimization of Vibration Signal by ADMM
In this paper, the alternating direction method of multipliers (ADMM) algorithm is applied to the compressed sensing theory to realize the sparse optimization of vibration signal.
Song Wanqing
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Krylov complexity and orthogonal polynomials
Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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Modal decomposition of astronomical images with application to shapelets
The decomposition of an image into a linear combination of digitised basis functions is an everyday task in astronomy. A general method is presented for performing such a decomposition optimally into an arbitrary set of digitised basis functions, which ...
Berry +20 more
core +1 more source
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
wiley +1 more source
This paper studies the existence and construction of bases consisting of tangential and anisotropic vectors in finite-dimensional quadratic spaces over fields of characteristic different from two.
Alexander Leones +3 more
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Frequency characteristics of Sonin–Lagerre orthogonal functions
The analysis of the frequency properties of the orthogonal functions in Sonin–Lagerre basis when changing the parameters of orthogonal basis is made.
S. A. Prokhorov, I. M. Kulikovskikh
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