Results 61 to 70 of about 12,261,514 (349)

On solvability of some difference-discrete equations [PDF]

Opuscula Mathematica, 2016
Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained.
Alexander V. Vasilyev, Vladimir B. Vasilyev   +1 more
doaj   +1 more source

The multidimensional Frobenius problem [PDF]

Involve, a Journal of Mathematics, 2011
Consider the problem of determining maximal vectors g such that the Diophantine system Mx = g has no solution. We provide a variety of results to this end: conditions for the existence of g, conditions for the uniqueness of g, bounds on g, determining g explicitly in several important special cases, constructions for g, and a reduction for M.
Amos, Jeffrey, Pascu, Iuliana, Ponomarenko, Vadim, Treviño, Enrique, Zhang, Yan   +4 more
openaire   +2 more sources

Recent Advances in Collective Behaviors of Micro/Nanomotor Swarms

Advanced Materials, EarlyView.
This review describes the driving forces behind collective motion, explores the self‐organization of micro/nano swarms across zero‐dimensional (0D), one‐dimensional (1D), two‐dimensional (2D), and three‐dimensional (3D) spaces, and highlights their potential in drug delivery, environmental monitoring, and smart devices.
Siwen Sun, Bingbing Sun, Alexander B. Cook, Tania Patiño Padial, Jan C. M. van Hest   +4 more
wiley   +1 more source

On a nonlocal boundary-value problem with constant coefficients for a multidimensional mixed type equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper the unique solvability and smoothness of generalized solution of a nonlocal boundary value problem with constant coefficients for the multidimensional mixed type equation of the first kind in Sobolev spaces $W_{2}^{l }(Q)$, ($2\le l $ is ...
Sirojiddin Z Dzhamalov
doaj   +1 more source

Shifted Sobol points and multigrid Monte Carlo simulation

Discrete and Continuous Models and Applied Computational Science, 2021
Multidimensional integrals arise in many problems of physics. For example, moments of the distribution function in the problems of transport of various particles (photons, neutrons, etc.) are 6-dimensional integrals.
Aleksandr A. Belov, Maxim A. Tintul
doaj   +1 more source

Self‐Assembled Monolayers in p–i–n Perovskite Solar Cells: Molecular Design, Interfacial Engineering, and Machine Learning–Accelerated Material Discovery

Advanced Materials, EarlyView.
This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
wiley   +1 more source

Recent Progress on Flexible Multimodal Sensors: Decoupling Strategies, Fabrication and Applications

Advanced Materials, EarlyView.
In this review, we establish a tripartite decoupling framework for flexible multimodal sensors, which elucidates the underlying principles of signal crosstalk and their solutions through material design, structural engineering, and AI algorithms. We also demonstrate its potential applications across environmental monitoring, health monitoring, human ...
Tao Wu, Yu‐Tao Li, Luyu Zhao, Yi Zhang, Zhaojie Zhang, Jian Yuan, Yiwen Wu, Anqi Che, Yuanxiao Ma, Yang Chai, Yeliang Wang   +10 more
wiley   +1 more source

Landscape properties of the very large-scale and the variable neighborhood search metaheuristics for the multidimensional assignment problem [PDF]

, 2021
Alla Kammerdiner, A. Semenov, Eduardo Pasiliao   +2 more
openalex   +1 more source

Microenvironment Modulation‐Based Nanomaterial‐Loaded Hydrogel Dressings for Diabetic Foot Ulcers: Research Progress and Future Perspectives

Advanced Materials Interfaces, EarlyView.
xx xx. ABSTRACT Diabetic foot ulcer (DFU) is a chronic complication of diabetes, primarily caused by hyperglycemia, peripheral vascular disease, and neuropathy. Characterized by persistent hyperglycemia, impaired perfusion, inflammation, and infection, DFUs pose significant challenges to healing and are associated with high morbidity and amputation ...
Tang Yuqing, Chen Hong, Fan Weijing, Huang Renyan, You Yang, Liu Guobin   +5 more
wiley   +1 more source

Traffic network analysis via multidimensional split variational inequality problem with multiple output sets

Networks and Heterogeneous Media
In this study, we introduce and investigate a new class of split inverse problems, comprising a multidimensional parameter of evolution, which we call the multidimensional split variational inequality problem with multiple output sets. To demonstrate its
Timilehin O. Alakoya, Bidisha Ghosh, Salissou Moutari, Vikram Pakrashi, Ranganatha B. Ramachandra   +4 more
doaj   +1 more source