Results 111 to 120 of about 9,069,692 (293)

Criteria for absolute convergence of multiple fourier series

Arkiv för Matematik, 1984
Let \(m=(m_ 1,m_ 2,...,m_ n)\), where \(m_ 1,m_ 2,...,m_ n\) are integers, \(t=(t_ 1,t_ 2,...,t_ n)\in {\mathbb{R}}^ n\) and \(e^{imt}=e^{i(m_ 1t_ 1+m_ 2t_ 2+...+m_ nt_ n)}.\) Let \(\sum_{m}f_ me^{imt}\) be the Fourier series of a function f(t), integrable on \(T^ n=\{t:0\leq t_ k\leq 2\pi;k=1,2,...,n\}\) and \(2\pi\) periodic in each variable.
openaire   +3 more sources

Desert Plant Inspired Hierarchical Nanofibrous Membranes for Integrated Solar Desalination and Heavy Metal Remediation

Advanced Functional Materials, EarlyView.
An Alhagi maurorum inspired hierarchical composite membrane (NFCu) was developed by integrating heavy metal remediation and solar‐driven interfacial evaporation in a single platform. Beyond the photothermal effect, a localized photocatalytic process is realized on the CuO surface, deepening the mechanistic understanding of light–matter–water ...
Yuqiong He, Ronggang Luo, Shengbo Ge, Kaixin Jiang, Kirsten Dyer, Xiaojian Zhou, Ben Bin Xu, Xuehua Zhang, Guanben Du, Kaimeng Xu   +9 more
wiley   +1 more source

SOME INEQUALITIES FOR COEFFICIENTS OF MULTIPLE FOURIER SERIES

Demonstratio Mathematica, 2000
The following inequality is of importance in Fourier analysis \[ \sum_{k=1}^\infty (|a_k|+|b_k|)\leq(Vf)^{1/2}\sum _{k=1}^\infty\omega^{1/2}(f;\pi 2^{-k}), \] where \(a_k,\) \(b_k\) are the Fourier coefficients of a \(2\pi\)-periodic function \(f,\) \(Vf\) is its total variation, and \(\omega(f;\cdot)\) is the modulus of continuity of \(f.\) Zygmund's ...
openaire   +1 more source

Self‐Assembled Crystalline Peptoid Nanomaterials as Metal‐Free Enzyme Mimics for Enhanced Carbon Dioxide Hydration and Precipitation

Advanced Functional Materials, EarlyView.
Inspired by metal‐free carbonic anhydrases (CAs) that achieve efficient catalysis without metal cofactors, we herein report a sequence‐defined supramolecular peptoid platform that mimics metal‐free CAs and exhibits hydrolytic activity via a supramolecular assembly‐mediated proton‐transfer mechanism.
Progyateg Chakma, Ying Chen, Thi Kim Hoang Trinh, Anthony R. Perez, Jonathan Gil, Maria Casco Hidalgo, Botao Hao, Kyle Whitaker, Chun‐Long Chen   +8 more
wiley   +1 more source

Stereometric Molecular Engineering for Ultra‐Stable Aqueous Zinc‐Ion Batteries

Advanced Functional Materials, EarlyView.
Stereochemical configuration of molecular additives greatly influences interfacial adsorption at the Zn surface. The optimal tilted dual‐anchored adsorption geometry of myo‐inositol constructs a water‐deficient interface and regulates the solvation structure.
Cunxin Liu, Peng Yang, Mohamed H. Helal, Jiang Zhou, Eero Kontturi   +4 more
wiley   +1 more source

A Magneto‐Mechanically Activated Nerve Guidance Conduit Promotes Peripheral Nerve Regeneration via TIMP1‐Mediated Membrane Tension Transfer

Advanced Functional Materials, EarlyView.
This study presents a magneto‐mechanical strategy that incorporates FP@MSCs into an aligned PCL/GelMA nerve guidance conduit. Magnetic stimulation increases membrane tension in FP@MSCs, triggering cytoskeletal remodeling, Schwann cell‐like differentiation, and TIMP1 secretion. TIMP1 activates ITGB1/CD63–FAK signaling in NE‐4C cells, increasing membrane
Xinyu Zhu, Yumin Wu, Xiang Gao, Tianlu Wang, Wanting Jia, Xueying Mei, Huanzhong Ji, Zongxi Wu, Yujie Liang, Xiang Li, Kan Li, Jingyuan Li, Guangsen Zheng, Guiqing Liao, Siyong Gao   +14 more
wiley   +1 more source

On the Summation of Multiple Fourier Series. I [PDF]

Proceedings of the London Mathematical Society, 1946
openaire   +4 more sources

Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces

Advanced Functional Materials, EarlyView.
Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng, TzuChun Chung, Katpady Akhil Tantry, Siyu Wu, Jing Tian, Yunqi Cui, Lanyu Li, Yongzan Zhou, Zhilei Zhang, Zhe Su, Gaili Cao, Kun‐Wei Yeh, Ruipeng Li, Xianghui Xiao, Adam F. G. Leontowich, Yuan‐Yu Hsueh, Zhao Pan, Kam C. Tam, Badri Narayanan, Song Li, Yimin. A. Wu   +20 more
wiley   +1 more source

Empirical Analysis of Time Series [PDF]

Time series occur in many fields of biology, physics, chemistry, engineering. Much work has been recently performed in statistical physics using specific mathematical techniques on various time series pertaining to so-called nonlinear phenomena.
Ausloos, M
core  

A New Bioactive Glass‐Based Hybrid Bioink With Enhanced Cell Viability and Antibacterial Properties

Advanced Healthcare Materials, EarlyView.
Graphical illustration of the production and characterization process, demonstrating the multiple functions of the new hybrid gelatin methacryloyl‐silver‐bioactive glass (GAB) material. Created in https://BioRender.com. ABSTRACT Recent advances in three‐dimensional bioprinting (3DBP) technology enable the production of customized bone substitutes ...
Adam C. Marsh, Ehsanul Hoque Apu, Theofania Kleisoura, Romila Manchanda, Valerie Johnson, Ginger Ross, Ioannis Tsamesidis, Eleana Kontonasaki, DeMarcus Bunn, Ahmet Erdem, Neal D. Hammer, Kurt D. Hankenson, Christopher H. Contag, Nureddin Ashammakhi, Xanthippi Chatzistavrou   +14 more
wiley   +1 more source