Results 91 to 100 of about 24,683 (302)

Approximation of solutions of the stochastic wave equation by using the Fourier series

Modern Stochastics: Theory and Applications, 2018
A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered.
Vadym Radchenko, Nelia Stefans’ka
doaj   +1 more source

Series expansions for Fourier transforms and Lebesgue functions [PDF]

Studia Mathematica, 1984
\textit{J. Mikusiński} [The Bochner integral (1978; Zbl 0369.28010)] has defined Lebesgue integrable functions as limits of series of brick functions \(\chi_ n\) with a special type of convergence. The author in this paper uses functions whose graphs are isosceles triangles. He calls them tent functions.
openaire   +2 more sources

Immunoinflammatory Mechanisms and Biocompatibility of Bioactive Dental Biomaterials: From Fundamental Insights to Clinical Translation

Advanced Healthcare Materials, EarlyView.
Surface‐host dialogue at the implant interface governs biological fate and osseointegration. Surface physicochemical properties of titanium (Ti) dental implants, including microgrooves, nanopatterns, nanotopography, roughness, and wettability, modulate the initial adsorption of proteins and the formation of a dynamic biointerface.
Daniela Moreira Cunha, Amanda Paino Santana, Marta Maria Alves Pereira, Mariana Martins Guerreiro, Jose Mauro Granjeiro, Jamil Awad Shibli, Jeroen J. J. P. van den Beucken, Anton Sculean, Rafael Scaf de Molon, Erica Dorigatti de Avila   +9 more
wiley   +1 more source

Expansion of Iterated Stratonovich Stochastic Integrals of Multiplicity 3 Based on Generalized Multiple Fourier Series Converging in the Mean: General Case of Series Summation

, 2023
The article is devoted to the development of the method of expansion and mean-square approximation of iterated Ito stochastic integrals based on generalized multiple Fourier series converging in the mean.
Kuznetsov, Dmitriy F.
core  

Adaptable Covalent Organic Framework‐Hydrogel Microneedles for Glucose‐Responsive Isoliquiritigenin Delivery in Diabetic Wound Therapy

Advanced Healthcare Materials, EarlyView.
We develop a covalent organic framework‐loaded Traditional Chinese Medicine monomer nanodrug delivery system (ISL@bCOF) via boron‐oxygen bonds, a smart response to glucose for delivering AI‐driven isoliquiritigenin (ISL) targeting ZBP1. This dynamic release mechanism, combined with transdermal delivery technology via potent microneedles, can modulate ...
Menghan Zhou, Zongjie Hu, Xiuwen Li, Huaman Geng, Yang Liu, Yajie Wang, Yunshu Yang, Guangdong Zhou, Yujie Hua, Di Wang   +9 more
wiley   +1 more source

Microsphere‐Templated Conductive Syntactic Foams for Recyclable and Additively Manufactured Soft Electronics

Advanced Healthcare Materials, EarlyView.
This work introduces a microsphere‐templated strategy to fabricate reprocessable PEDOT:PSS syntactic foams with tunable porosity, stable conductivity, and 3D printability. In situ PEDOT:PSS coatings create a conductive network that maintains electrical performance at high void fractions.
Gayaneh Petrossian, Yassine Diouri, Bolan Xu, Sara Ebrahimi, Atharva Pande, Floriane Miquet‐Westphal, Hang Xu, Fabio Cicoira   +7 more
wiley   +1 more source

Improving Dry-Bulb Air Temperature Prediction Using a Hybrid Model Integrating Genetic Algorithms with a Fourier–Bessel Series Expansion-Based LSTM Model

The dry-bulb temperature is a critical parameter in weather forecasting, agriculture, energy management, and climate research. This work proposes a new hybrid prediction model (FBSE-GA-LSTM) that integrates the Fourier–Bessel series expansion (FBSE)
Deo, Ravinesh C., Mohammad Diykh, Shahab Abdulla, Hussein Alabdally, Abdulla, Shahab, Alabdally, Hussein, Anwar Ali Aldhafeeri, Aldhafeeri, Anwar Ali, Ravinesh C. Deo, Diykh, Mohammad, Ali, Mumtaz, Mumtaz Ali, Aitazaz Ahsan Farooque, Farooque, Aitazaz Ahsan   +13 more
core   +1 more source

MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko, N. N. Yaremko, E. S. Mogileva   +2 more
doaj   +1 more source

An analysis on fourier series expansion

, 2009
The present paper is involved with the analyze of Fourier coefficients with help of extension of Gauss partial sum for Fourier series. The Fourier series are specific and standard series of periodic functions which are discussed in varies area of applied mathematics.
Ghyasi, A., Rahmani Doust, M. H.
openaire   +1 more source

Ferroelectric Quantum Dots for Retinomorphic In‐Sensor Computing

Advanced Materials, EarlyView.
This work has provided a protocol for fabricating retinomorphic phototransistors by integrating ferroelectric ligands with quantum dots. The resulting device combines ferroelectricity, optical responsiveness, and low‐power operation to enable adaptive signal amplification and high recognition accuracy under low‐light conditions, while supporting ...
Tingyu Long, Huanyu Zhou, Jaewan Ko, Hongwei Tan, Jaemin Lim, Yanfei Zhao, Daehan Kang, Eojin Yoon, Gyeong‐Tak Go, Somin Kim, Seung‐Woo Lee, Chan‐Yul Park, Hyojun Choi, Hyeran Kim, Hyung Joong Yun, Sung Hyuk Park, Kwan Sik Park, Jeong Woo Park, Mungeun Kim, Yong Soo Cho, Ho Won Jang, Wenqiang Yang, Min Hyuk Park, Wan Ki Bae, Sebastiaan van Dijken, Joona Bang, Tae‐Woo Lee   +26 more
wiley   +1 more source