Results 101 to 110 of about 323,246 (272)
Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions
Abstract and Applied Analysis, 2013 The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asymptotic behavior of the global solutions provided that the initial data are suitably small.
Yu-Zhu Wang, Qingnian Zhang
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Asymptotic hereditary asphericity of metric spaces of asymptotic dimension 1
Topology and its Applications, 2010 \textit{T. Januszkiewicz} and \textit{J. Świątkowski} introduced the concept of asymptotic hereditary asphericity (AHA) [in Geom. Topol. 11, 727-758 (2007; Zbl 1188.20043)]. Using this property, they showed that there exist hyperbolic groups of arbitrary cohomological dimension containing no subgroups isomorphic to fundamental groups of closed ...
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Advanced Science, EarlyView.The butterfly unfolded wing in an open form structure of botulinum neurotoxin type A (BoNT/A) at physiological‐state was confirmed at 2.85 Å resolution by cryo‐electron microscopy (cryo‐EM). Structure‐guided protein engineering significantly enhanced the receptor‐binding affinity, therapeutic efficacy, and safety of the engineered toxin variants ...
Wenrui Wang +16 more
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Geometrical properties of systems with spiral trajectories in R^3
Electronic Journal of Differential Equations, 2015 We study a class of second-order nonautonomous differential equations, and the corresponding planar and spatial systems, from the geometrical point of view.
Luka Korkut +2 more
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METRIC SPACES WITH SUBEXPONENTIAL ASYMPTOTIC DIMENSION GROWTH [PDF]
International Journal of Algebra and Computation, 2012 We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.
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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
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Dimensions of products of hyperbolic spaces
, 2006 We give estimates on asymptotic dimensions of products of general hyperbolic spaces with following applications to the hyperbolic groups. We give examples of strict inequality in the product theorem for the asymptotic dimension in the class of the ...
Lebedeva, Nina
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Advanced Science, EarlyView.Human‐relevant methods are essential for modern chemical safety assessment. This study helps define the capabilities and boundaries of an in vitro testing battery for developmental neurotoxicity by exploring its biological applicability domain. By linking neurodevelopmental disease‐related pathways to key neurodevelopmental processes, the work enhances
Eliska Kuchovska +14 more
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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
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Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems
Boundary Value Problems, 2019 This paper studies the Cauchy problem to a class of coupled nonlinear parabolic systems and investigates the asymptotic behavior of solutions to the problem.
Yan Leng, Yuanyuan Nie, Qian Zhou
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