Results 61 to 70 of about 323,246 (272)
On the Generalization of Lehmer Problem and High-Dimension Kloosterman Sums
The Scientific World Journal, 2014 For any fixed integer k≥2 and integer r with r, p=1, it is clear that there exist k integers 1≤ai≤p-1 i=1, 2, …, k such that a1a2⋯ak≡r mod p. Let N(k,r;p) denote the number of all a1, a2, ⋯ak such that a1a2⋯ak≡r mod p and 2†a1+a2+⋯ + ak.
Guohui Chen, Han Zhang
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Adaptive Hydrogels With Spatiotemporal Stiffening Using pH‐Modulating Enzymes
Advanced Functional Materials, EarlyView.The chemomechanical coupling in an adaptive hydrogel is studied to further the development of adaptive hydrogels. This coupling is achieved by embedding a pH‐modulating enzyme in a pH‐responsive hydrogel. The enzymatic reaction can be triggered locally, which generates a pH‐decreasing wave throughout the system, increasing the crosslinking density and ...
Natascha Gray +3 more
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Well-posedness and asymptotic stability for the Lamé system with internal distributed delay [PDF]
Mathematica Moravica, 2018 In this work, we consider the Lamé system in 3-dimension bounded domain with distributed delay term. We prove, under some appropriate assumptions, that this system is well-posed and stable.
Taouaf Noureddine +3 more
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Surfaces have (asymptotic) dimension 2
, 2020 35 pages, 4 figures - v3: correction of the statements of Theorem 5.2, Corollary 5.3 and Theorem 5.9.
Bonamy, Marthe +5 more
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Advanced Functional Materials, EarlyView.ABSTRACT Materials that can deform, sense, and autonomously generate power in response to wireless magnetic fields, through both magnetic‐actuated shape transformation and charge generation, are an emerging focus in advanced functional materials research.
Zhi Zhao, Xiaojia Shelly Zhang
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Groups acting on trees with almost prescribed local action
, 2016 We investigate a family of groups acting on a regular tree, defined by prescribing the local action almost everywhere. We study lattices in these groups and give examples of compactly generated simple groups of finite asymptotic dimension (actually one ...
Boudec, Adrien Le
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Transfinite Asymptotic Dimension
, 2013 Asymptotic property C for metric spaces was introduced by Dranishnikos as generalization of finite asymptotic dimension - asdim. It turns out that this property can be viewed as transfinite extension of asymptotic dimension. The original definition was given by Radul.
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Property A and asymptotic dimension
Glasnik matematicki, 2012 The purpose of this note is to characterize the asymptotic dimension $asdim(X)$ of metric spaces $X$ in terms similar to Property A of Yu: If $(X,d)$ is a metric space and $n\ge 0$, then the following conditions are equivalent: [a.] $asdim(X,d)\leq n$, [b.] For each $R, > 0$ there is $S > 0$ and finite non-empty subsets $A_x\subset B(x,S)\times ...
Cencelj, Matija +2 more
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Advanced Materials, EarlyView.We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena +6 more
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Journal of Applied Mathematics, 2012 This work addresses the asymptotic stability for a class of impulsive cellular neural networks with time-varying delays and reaction-diffusion. By using the impulsive integral inequality of Gronwall-Bellman type and Hardy-Sobolev inequality as well as ...
Yutian Zhang
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