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Contact interaction of multilayer slabs with an inhomogeneous base
Magazine of Civil Engineering, 2022 The article is devoted to the development of mathematical models and new methods for solving contact problems of multilayer elements of structures with an inhomogeneous base, considering their mechanical, structural features, and to the assessment of ...
Mirsaidov Mirziyod, Mamasoliev Kazokboy
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Combining local regularity estimation and total variation optimization for scale-free texture segmentation [PDF]
, 2016 Texture segmentation constitutes a standard image processing task, crucial to many applications. The present contribution focuses on the particular subset of scale-free textures and its originality resides in the combination of three key ingredients ...
Abry, Patrice +3 more
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Regular packings of regular graphs
Discrete Mathematics, 2002 AbstractA graph H is G-decomposable if it contains subgraphs G1,…,Gh,h⩾2, isomorphic to G whose sets of edges partition E(H). Wilson (Proceedings of the Fifth British Combinatorial Conference, University of Aberdeen, Aberdeen, 1975, pp. 647–659; Congr. Numer.
A. Gutiérrez, Anna S. Lladó
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Regularization for design [PDF]
53rd IEEE Conference on Decision and Control, 2014 When designing controllers for large-scale systems, the architectural aspects of the controller such as the placement of actuators, sensors, and the communication links between them can no longer be taken as given. The task of designing this architecture is now as important as the design of the control laws themselves.
Matni, Nikolai, Chandrasekaran, Venkat
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A Fourier Analysis Based New Look at Integration
Annales Mathematicae Silesianae, 2023 We approach the problem of integration for rough integrands and integrators, typically representing trajectories of stochastic processes possessing only some Hölder regularity of possibly low order, in the framework of para-control calculus.
Imkeller Peter, Perkowski Nicolas
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Boundary regularity of weakly anchored harmonic maps [PDF]
, 2015 In this note we study the boundary regularity of minimizers of a family of weak anchoring energies that model the states of liquid crystals. We establish optimal boundary regularity in all dimensions $n\geq 3 .$ In dimension $n=3,$ this yields full ...
Contreras, Andres +2 more
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Maximal Product of Graphs under Vague Environment
Mathematical and Computational Applications, 2020 Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of ...
Behnaz Sheikh Hoseini +4 more
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Regular transducer expressions for regular transformations [PDF]
Information and Computation, 2018 Functional MSO transductions, deterministic two-way transducers, as well as streaming string transducers are all equivalent models for regular functions. In this paper, we show that every regular function, either on finite words or on infinite words, captured by a deterministic two-way transducer, can be described with a regular transducer expression ...
Shankara Narayanan Krishna +2 more
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Polyconvex functionals and maximum principle
Mathematics in Engineering, 2023 Let us consider continuous minimizers $ u : \bar \Omega \subset \mathbb{R}^n \to \mathbb{R}^n $ of $ \mathcal{F}(v) = \int_{\Omega} [|Dv|^p \, + \, |{\rm det}\,Dv|^r] dx, $ with $ p > 1 $ and $ r > 0 $; then it is known that every ...
Menita Carozza +3 more
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Directional Regularity and Metric Regularity
SIAM Journal on Optimization, 2007 For general constraint systems in Banach spaces, we present the directional stability theorem based on the appropriate generalization of the directional regularity condition, suggested earlier in [A. V. Arutyunov and A. F. Izmailov, Math. Oper. Res., 31 (2006), pp. 526-543].
Arutyunov A.V. +2 more
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