Results 131 to 140 of about 6,982,939 (355)
Volume growth, curvature decay, and critical metrics [PDF]
Final version: Comm. Math. Helv. 83, Issue 4, 2008, pages 889-911, 2006 We make some improvements to our previous results. First, we prove a version of our volume growth theorem which does not require any assumption on the first Betti number. Second, we show that our local regularity theorem only requires a lower volume growth assumption, not a full Sobolev constant bound.
arxiv
A matrix weighted bilinear Carleson Lemma and Maximal Function
, 2018 We prove a bilinear Carleson embedding theorem with matrix weight and scalar measure. In the scalar case, this becomes exactly the well known weighted bilinear Carleson embedding theorem. Although only allowing scalar Carleson measures, it is to date the
Petermichl, Stefanie +2 more
core
Strain tolerance of two-dimensional crystal growth on curved surfaces
Science Advances, 2019 2D crystals of WS2 stretch as they grow over curved surfaces, allowing strain engineering of their optoelectronic properties. Two-dimensional (2D) crystal growth over substrate features is fundamentally guided by the Gauss-Bonnet theorem, which mandates ...
Kai Wang +16 more
semanticscholar +1 more source
A theorem for entire functions of irregular logarithmic growth [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 For a non-constant entire function f(z) — z —r e’0, the logarithmic order p* (1 < -p* < 00) and lower logaritghmic order X* (1 < X* < 00 ) are given by thelimit superior and limit inferior of {log log M(r)| /(log log r), asr—>■ 00, respectively, where M(r) —: max j f(z) In this paper we derive a formula for X*—type t ...
openaire +2 more sources
Joint Situational Assessment‐Hierarchical Decision‐Making Framework for Maneuver Intent Decisions
Advanced Intelligent Systems, EarlyView.This study introduces a new framework for decision‐making in unmanned combat aerial vehicles (UCAVs), integrating graph convolutional networks and hierarchical reinforcement learning (HRL). The method tackles adopts a curriculum‐based training approach guided by cross‐entropy rewards.
Ruihai Chen +4 more
wiley +1 more source
An almost rigidity Theorem and its applications to noncompact RCD(0,N) spaces with linear volume growth [PDF]
arXiv, 2017 The main results of this paper consists of two parts. Firstly, we obtain an almost rigidity theorem which says that on a RCD(0, N) space, when a domain between two level sets of a distance function has almost maximal volume compared to that of a cylinder, then this portion is close to a cylinder as a metric space.
arxiv
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo +3 more
wiley +1 more source
Predicting Performance of Hall Effect Ion Source Using Machine Learning
Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.This study introduces HallNN, a machine learning tool for predicting Hall effect ion source performance using a neural network ensemble trained on data generated from numerical simulations. HallNN provides faster and more accurate predictions than numerical methods and traditional scaling laws, making it valuable for designing and optimizing Hall ...
Jaehong Park +8 more
wiley +1 more source
Applied Artificial Intelligence in Materials Science and Material Design
Advanced Intelligent Systems, EarlyView.AI‐driven methods are transforming materials science by accelerating material discovery, design, and analysis, leveraging large datasets to enhance predictive modeling and streamline experimental techniques. This review highlights advancements in AI applications across spectroscopy, microscopy, and molecular design, enabling efficient material ...
Emigdio Chávez‐Angel +7 more
wiley +1 more source
The Whitney extension theorem in high dimensions [PDF]
arXiv, 2015 We prove a variant of the standard Whitney extension theorem for $\mathcal C^m(\mathbb R^n)$, in which the norm of the extension operator has polynomial growth in $n$ for fixed $m$.
arxiv