Results 51 to 60 of about 1,950,938 (331)
Asymptotic Formula for the Moments of Takagi Function
Моделирование и анализ информационных систем, 2016 Takagi function is a simple example of a continuous but nowhere differentiable function. It is defined by T(x) = ∞ ᢘ k=0 2−nρ(2nx), where ρ(x) = min k∈Z |x − k|. The moments of Takagi function are defined as Mn = ᝈ 1 0 xnT(x) dx.
E. A. Timofeev
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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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Lietuvos Matematikos Rinkinys, 1999 The Landau formula with a weight was considered. The explicit asymptotic formula for the concrete weight was proved.
Audrius Kačėnas
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ABEL-TAUBER PROCESS AND ASYMPTOTIC FORMULAS
Kyushu Journal of Mathematics, 2017 Summary: The Abel-Tauber process consists of the abelian process of forming the Riesz sums and the subsequent Tauberian process of differencing the Riesz sums, an analogue of the integration-differentiation process. In this article, we use the Abel-Tauber process to establish an interesting asymptotic expansion for the Riesz sums of arithmetic ...
Banerjee, D. +3 more
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The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues on Riemannian manifolds
, 2011 Let Ω be a bounded domain with C 2 -smooth boundary in an n-dimensional oriented Riemannian manifold. It is well known that for the biharmonic equation Δ 2 u = 0 in Ω with the condition u = 0 on ∂Ω, there exists an infinite set { u k } of biharmonic ...
Genqiang Liu
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Advanced Materials, EarlyView.This work reports a direct, biocompatible method to synthesize UiO‐66, enabling one‐step encapsulation of proteins without compromising crystallinity or activity. Using advanced in situ and ex situ techniques, the study reveals that proteins integrate concurrently with MOF growth, forming crystalline protein@UiO‐66 nanoparticles, and provide insight ...
Jesús Cases Díaz +5 more
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Surface‐Capped Protein Nanoparticles for Nonviral Gene Delivery
Advanced Materials, EarlyView.ABSTRACT Developing simple, safe, and efficient nonviral delivery systems remains a significant challenge in bioengineering. Nanoparticles offer promising gene delivery capabilities with reduced toxicity; however, long‐standing challenges related to effective plasmid encapsulation and delivery exist.
Fjorela Xhyliu +9 more
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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation
, 2011 Singular differential equation (𝑝(𝑡)𝑢)=𝑝(𝑡)𝑓(𝑢) is investigated. Here 𝑓 is Lipschitz continuous on ℝ and has at least two zeros 0 and 𝐿>0 . The function 𝑝 is continuous on [0,∞) and has a positive continuous derivative on (0,∞) and 𝑝(0)=0.
I. Rachunková, Lukás Rachunek
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Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
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Asymptotic Analysis of the Green-Kubo Formula
, 2010 A detailed study of various distinguished limits of the Green-Kubo formula for the self-diffusion coefficient is presented in this paper. First, an alternative representation of the Green-Kubo formula in terms of the solution of a Poisson equation is ...
Pavliotis, G. A.
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