Results 81 to 90 of about 241,664 (267)

Divergence of mock and scrambled Fourier series [PDF]

open access: yesarXiv, 2011
We study divergence properties of Fourier series on Cantor-type fractal measures, also called mock Fourier series. We show that in some cases the $L^1$-norm of the corresponding Dirichlet kernel grows exponentially fast, and therefore the Fourier series are not even pointwise convergent.
arxiv  

On The Integration of Fourier Series [PDF]

open access: yesProceedings of the London Mathematical Society, 1911
n ...
openaire   +3 more sources

Native Lignin Migration and Clustering in Wood: Superhydrophobic, Antimold, and Tribonegative Layers for Rain‐Driven Electrification

open access: yesAdvanced Functional Materials, EarlyView.
This study proposes a sustainable solution for rainwater‐driven energy harvesting by harnessing the intrinsic properties of lignin in wood. The first demonstration of an all‐wood tribonegative material for liquid–solid triboelectric nanogenerators is presented, eliminating the need for fluorine‐containing polymers and functional additives. Abstract The
Xuetong Shi   +8 more
wiley   +1 more source

Laser‐Induced Graphene‐Assisted Patterning and Transfer of Silver Nanowires for Ultra‐Conformal Breathable Epidermal Electrodes in Long‐Term Electrophysiological Monitoring

open access: yesAdvanced Functional Materials, EarlyView.
This study presents a novel method using laser‐induced graphene (LIG) to enable high‐yield transfer of silver nanowire (AgNW) networks onto ultra‐low modulus, breathable silicone substrates. This approach creates ultra‐conformal epidermal electrodes (≈50 µm) for long‐term, high‐fidelity electrophysiological monitoring, even in challenging conditions ...
Jiuqiang Li   +10 more
wiley   +1 more source

Breakthrough Solution for Antimicrobial Resistance Detection: Surface‐Enhanced Raman Spectroscopy‐based on Artificial Intelligence

open access: yesAdvanced Materials Interfaces, EarlyView., 2023
This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi   +4 more
wiley   +1 more source

Chloride‐Mediated Electron Buffering on Ni‐Fe Anodes for Ampere‐Level Alkaline Seawater Electrolysis

open access: yesAdvanced Functional Materials, EarlyView.
Utilizing abundant chloride ion (Cl−) of seawater, the small organic molecule (SOM) layer on the electrocatalyst surface is converted to SOM‐Cl layer. Meanwhile, the conjugated structure of SOM is modified. SOM‐Cl layer can effectively mitigate the damage caused by the highly oxidative environment.
Qian Niu   +4 more
wiley   +1 more source

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