Results 71 to 80 of about 745,922 (284)
On Weyl sums for smaller exponents [PDF]
, 2010 We present a hybrid approach to bounding exponential sums over kth powers via Vinogradov's mean value theorem, and derive estimates of utility for exponents k of intermediate ...
D. Wooley, Kent D. Boklan, Trevor
core
Solution-free sets for sums of binary forms
, 2011 We obtain quantitative estimates for the asymptotic density of subsets of the two-dimensional integer lattice which contain only trivial solutions to an additive equation involving binary forms.
Prendiville, Sean
core +2 more sources
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
Hierarchical Artificial Muscle with Nonlinear Elasticity for Antagonistic and Cyclic Robotics
Advanced Science, EarlyView.We construct hierarchical muscles by plying nylon fibers around a heating wire. The hierarchical muscle shows a J‐shaped passive curve, which shows benefit in antagonistic muscle pair and work accumulation mechanism. We also develop a computational, first‐principle model to understand the physics of both active actuation stroke and passive J‐curve ...
Samuel Tsai +15 more
wiley +1 more source
On some inequalities relative to the Pompeiu–Chebyshev functional
Journal of Inequalities and Applications, 2020 In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj +1 more source
On determinism and well-posedness in multiple time dimensions
, 2008 We study the initial value problem for the wave equation and the ultrahyperbolic equation for data posed on initial surface of mixed signature (both spacelike and timelike).
Craig, Walter, Weinstein, Steven
core +4 more sources
Advanced Science, EarlyView.A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park +11 more
wiley +1 more source
Mean value theorems for some linear integral operators
Electronic Journal of Differential Equations, 2009 In this article we study some mean value results involving linear integral operators on the space of continuous real-valued functions defined on the compact interval [0,1].
Cezar Lupu, Tudorel Lupu
doaj
Sub‐Unit‐Cell Logic Governs Transport in TPMS Architectures
Advanced Science, EarlyView.ABSTRACT Next‐generation energy, thermal, and chemical systems require architectures capable of highly efficient transport across multiple length scales. Triply periodic minimal surfaces (TPMS), first conceptualized in 1865, offer inherently scalable geometries with exceptional transport potential, yet mechanistic links between topology and performance
Haozhang Zhong +16 more
wiley +1 more source
An Extension of the Mean Value Theorem
The Mathematical IntelligencerTo appear in ''The Mathematical Intelligencer''
openaire +2 more sources