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Uniqueness theorems for meromorphic functions.
MATHEMATICA SCANDINAVICA, 1976 This article contains several uniqueness theorems for meromorphic functions. A typical result is the following one: Let k be a positive integer and \(f_ 1\), \(f_ 2\) be meromorphic with \(\bar N(\)r,f\({}_ j)=S(r,f_ j)\) and \(N(r,f_ j^{-1})-N(r,(f_ j^{(k)})^{- 1})=S(r,f_ j),\) for \(j=1,2\).
GOPALAKRISHNA, H.S., Bhoosnurmath, S.S.
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Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
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On an Oberbeck-Boussinesq model relating to the motion of a viscous fluid subject to heating
Open MathematicsThis article surveys some results in the study of Iannelli [Su un modello di Oberbeck-Boussinesq relativo al moto di un fluido viscoso soggetto a riscaldamento, Fisica Matematica, Istituto Lombardo (rend.
Iannelli Angela
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Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
Journal of Function Spaces, 2014 We study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are ...
Yuanhong Wei
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A Sharp Existence and Uniqueness Theorem for Linear Fuchsian Partial Differential Equations [PDF]
, 2001 Jose Ernie C. Lope
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Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
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On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators [PDF]
, 2014 Alessia E. Kogoj +2 more
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Discussiones Mathematicae Graph Theory, 2000 A property of graphs is any nonempty class of graphs closed under isomorphism. A property of graphs is called induced-hereditary and additive if it is closed under taking induced subgraphs and disjoint unions of graphs, respectively. Let \({\mathcal P}_1,{\mathcal P}_2,\dots,{\mathcal P}_n\) be properties of graphs.
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Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
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Nonlinear Analysis, 2013 In this paper, we study the existence and uniqueness of solutions for a singular system of nonlinear fractional differential equations with integral boundary conditions.
Lin Wang, Xingqiu Zhang, Xinyi Lu
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