Results 151 to 160 of about 5,594,202 (306)
Fixed point theorems in constructive mathematics
Journal of Logic and Analysis, 2012 Matthew Hendtlass
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Holographic Mapping of Orbital Angular Momentum using a Terahertz Diffractive Optical Neural Network
Advanced Intelligent Discovery, EarlyView.A compact six‐layer diffractive optical neural network enables direct recognition and spatial mapping of terahertz (THz) orbital angular momentum (OAM) beams. Fabricated by 3D printing, the system distinguishes nine OAM modes and their superpositions with high fidelity, good efficiency, and low crosstalk, offering a scalable solution for THz ...
Wei Jia +3 more
wiley +1 more source
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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Fixed Point Theorems for Random Lowersemi-continuous Mappings
Fixed Point Theory and Applications, 2009 We prove a general principle in Random Fixed Point Theory by introducing a condition named ( ) which was inspired by some of Petryshyn's work, and then we apply our result to prove some random fixed points theorems, including generalizations of some ...
Morales ClaudioH +2 more
doaj
On random fixed point theorems with applications to integral equations. [PDF]
Heliyon, 2019 Eke KS, Akewe H, Bishop SA.
europepmc +1 more source
A Piecewise-Linear Fixed Point Theorem
The American Mathematical MonthlyWe prove that if a continuous piecewise-smooth map on $\mathbb{R}^n$ is comprised of two linear functions, has a bounded orbit, and satisfies a certain non-degeneracy condition, then it has a fixed point. The result has important consequences to the bifurcation theory of nonsmooth dynamical systems, yet the proof requires only elementary linear algebra.
openaire +2 more sources
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
wiley +1 more source
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
wiley +1 more source
Fixed Point Theorems, Coincidence Point Theorems and Their Applications [PDF]
, 2016 This study aims to illuminate a general framework for fixed point and coincidence point theorems. Our theorems work with functions defined on ball spaces (X,\cB).
Sonaallah, Fatma 1986-
core
Advanced Intelligent Discovery, EarlyView.The behaviors of semiflexible polymers such as DNA and protein are often reshaped by coupled interactions. Monte Carlo simulations assist in studying these systems. This work recasts the traditional chain‐growth strategy into a new framework: a fixed number of chains grow synchronously, while less relevant chains to the target system are removed and ...
Yihan Zhao, Jizeng Wang
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