Results 41 to 50 of about 11,370,086 (322)
Advanced Photonics Research, EarlyView.Coherent anti‐stokes Raman spectroscopy (CARS) enables high‐resolution vibrational imaging, yet non‐resonant background (NRB) distorts spectral fidelity. This review highlights NRB removal methods—from experimental strategies and numerical algorithms to emerging deep learning techniques.
Rajendhar Junjuri, Thomas Bocklitz
wiley +1 more source
The Cauchy problem for the homogeneous Monge-Ampere equation, III. Lifespan
, 2012 We prove several results on the lifespan, regularity, and uniqueness of solutions of the Cauchy problem for the homogeneous complex and real Monge-Ampere equations (HCMA/HRMA) under various a priori regularity conditions.
Rubinstein +3 more
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Cauchy problem for fractional diffusion-wave equations with variable coefficients [PDF]
, 2013 We consider an evolution equation with the Caputo-Dzhrbashyan fractional derivative of order with respect to the time variable, and the second order uniformly elliptic operator with variable coefficients acting in spatial variables.
A. Kochubei
semanticscholar +1 more source
Non‐Invasive Diagnosis of Chronic Myocardial Infarction via Composite In‐Silico‐Human Data Learning
Advanced Science, EarlyView.This study presents a non‐invasive machine learning model to identify infarct regions in the left ventricle using cardiac strain data. By combining rodent‐based simulated data with limited human data, the model achieves high accuracy in predicting infarct size and location without the need for gadolinium contrast agents, offering a promising ...
Rana Raza Mehdi +7 more
wiley +1 more source
Electronic Journal of Differential Equations, 2009 This article presents a global version of the main theorem by Baouendi and Goulaouic cite{bago}, in the space of differentiable functions with respect to Fuchsian variable, and holomorphic with respect to other variables.
Malika Belarbi, Mustapha Mechab
doaj
Advanced Science, EarlyView.This study presents a phase‐field model integrating mechanical constraints, solid–solid contact, and large‐strain mechanochemical coupling to characterize lithium deposition and electrolyte cracking. Results show that reducing mechanical constraints, with good electrode–electrolyte contact, suppresses dendrite eruption in cracks and extends battery ...
Chen Lin, Haihui Ruan, Ming‐Sheng Wang
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Blow-up criteria for different fluid models in anisotropic Lorentz spaces
AIMS Mathematics, 2023 This paper establishes new blow-up criteria, in anisotropic Lorentz spaces, via one-directional derivatives of the velocity and magnetic fields for the Cauchy problem to the 3D magneto-micropolar model and via one-directional derivative of velocity for ...
Muhammad Naqeeb +2 more
doaj +1 more source
Stochastic perturbations method for a system of Riemann invariants [PDF]
, 2013 Basing on our results [1] on a representation of solutions to the Cauchy problem for multidimensional non-viscous Burgers equation obtained by a method of stochastic perturbation of the associated Langevin system, we deduce an explicit asymptotic formula
Rozanova, Olga S.
core +2 more sources
Advanced Science, EarlyView.SGCD presents a novel approach for tissue spatial domain identification by employing interpolation to estimate inter‐spot gene expression and deconvolution to resolve cell‐type composition in both sampled and interstitial regions. By integrating gene expression, cell type, and spatial coordinates within a graph contrastive learning framework, SGCD ...
Tianjiao Zhang +7 more
wiley +1 more source
On solvability of boundary value problem for a nonlinear Fredholm integro-differential equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper proposes a constructive method to solve a nonlinear boundary value problem for a Fredholm integro-differential equation. Using D.S. Dzhumabaev parametrization method, the problem under consideration is transformed into an equivalent boundary ...
A.T. Assanova +3 more
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