Results 81 to 90 of about 48,781 (279)
We can hear (some of) the shape of dented horns [PDF]
, 2014 In this article we construct a family of domains $\Omega \subset \mathbb{R}^2$ with infinite volume such that the Dirichlet Laplacian $\Delta^D$ has purely discrete spectrum and give precise spectral asymptotics for the eigenvalue counting function in ...
Rautenberg, Nils
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Precise Spectral Asymptotics for Nonlinear Sturm–Liouville Problems
Journal of Differential Equations, 2002 Given a constant \(p>1\), it is known from the work of \textit{H. Berestycki} [J. Funct. Anal. 40, 1-29 (1981; Zbl 0452.35038)] and others that, for each \(\alpha >0\), there is a unique solution \((\lambda ,u)=(\lambda (\alpha),u_{\alpha})\in {\mathbb{R}}_+ \times C^2 (\bar{I})\) of \(-u'' +u^p =\lambda u\) on \(I:=(0,1)\) satisfying \(u_{\alpha}>0 ...
openaire +4 more sources
Optimal Grazing Exclusion Duration to Enhance Soil Carbon Sequestration in Degraded Grasslands
Advanced Science, EarlyView.Across China, grazing exclusion reaches the national mean soil organic carbon recovery benchmark sooner in high‐MAP regions (> 500 mm), but recovery is much slower where MAP < 300 mm. Scaling this strategy to 70% of China's degraded grasslands would sequester about 1.52 Pg of soil carbon over 10 years—roughly 17% of annual global fossil‐fuel emissions.
Bin Zhang +9 more
wiley +1 more source
Precise asymptotics in the complete moment convergence of NA sequence(负相伴随机变量序列矩完全收敛的精确渐近性)
Zhejiang Daxue xuebao. Lixue ban, 2005 假设{X,Xn; n≥1}为平稳的负相伴随机变量序列.对其矩完全收敛的精确渐近性进行讨论.令EX1=0，E|X1 ...
JIANGYe(蒋), ZHANGLi-xin(张立新)
doaj +1 more source
Advanced Science, EarlyView.In this work, a bioinspired all‐in‐one underwater quality evaluation metamaterial, combining sound attenuation, diffuse reflection, and mechanical robustness, is proposed based on jumping spider locomotion and human skeletal biomechanics. Meanwhile, a CNN‑driven quality evaluation framework is established for theoretically dimension‐reduced ...
Hongze Li +8 more
wiley +1 more source
Advanced Science, EarlyView.Neuroinflammation alters blood–brain barrier integrity and contributes to neurological disorders, yet existing models lack human immune complexity. This study presents a 3D, immune‐responsive platform that reconstructs key neurovascular components and enables real‐time monitoring.
Pavlo Gordiichuk +9 more
wiley +1 more source
Birth and death of protein domains: A simple model of evolution explains power law behavior
BMC Evolutionary Biology, 2002 Background Power distributions appear in numerous biological, physical and other contexts, which appear to be fundamentally different. In biology, power laws have been claimed to describe the distributions of the connections of enzymes and metabolites in
Berezovskaya Faina S +4 more
doaj +1 more source
On a selection principle for multivalued semiclassical flows [PDF]
, 2014 We study the semiclassical behaviour of solutions of a Schr ̈odinger equation with a scalar po- tential displaying a conical singularity. When a pure state interacts strongly with the singularity of the flow, there are several possible classical ...
Athanassoulis, Agissilaos +2 more
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