Results 1 to 10 of about 2,964,590 (287)
Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry [PDF]
Journal of the European Optical Society-Rapid Publications, 2014 In the present paper, we propose a 2D-Fourier transform method as a simple and efficient algorithm for stochastical and numerical studies to investigate the systematic impacts of line edge roughness on light diffraction pattern of periodic line-space ...
Gross H. +5 more
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On Local Unique Solvability for a Class of Nonlinear Identification Problems
Axioms, 2023 Nonlinear identification problems for evolution differential equations, solved with respect to the highest-order Dzhrbashyan–Nersesyan fractional derivative, are studied.
Vladimir E. Fedorov +2 more
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Disentangling the Information in Species Interaction Networks
Entropy, 2021 Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how one can use information-theoretic measures (that are often called indices in ecology) on joint ensembles to study the diversity of species interaction ...
Michiel Stock +2 more
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Mathematics, 2020 The aim of this study is to evaluate students’ achievements in mathematics using three machine learning regression methods: classification and regression trees (CART), CART ensembles and bagging (CART-EB) and multivariate adaptive regression splines ...
Snezhana Gocheva-Ilieva +2 more
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Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
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Topics in Mathematical Analysis [PDF]
, 2008 Complex Variables and Potential Theory: Integral Representations in Complex, Hypercomplex and Clifford Analysis (H Begehr) Nonlinear Potential Theory in Metric Spaces (O Martio) Differential Equations and Nonlinear Analysis: Geometric Evolution Problems (G Bellettini) Introduction to Bifurcation Theory (P Drabek) Nonlinear Eigenvalue Problems (P ...
CIATTI, PAOLO +3 more
openaire +4 more sources
On Local Time for Telegraph Processes
Mathematics, 2023 The article consists of an introduction into the theory of passage times associated with telegraph processes. Local time for the telegraph process is defined and analysed. We provide some limited results for telegraphic local times.
Nikita Ratanov, Mikhail Turov
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Mathematical Analysis of Ultrafast Ultrasound Imaging [PDF]
, 2016 This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates.
Alberti, Giovanni S. +3 more
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Modelling car-following dynamics with stochastic input-state-output port-Hamiltonian systems [PDF]
EPJ Web of ConferencesIn this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and quadratic ...
Ackermann Julia +3 more
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On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations
Fractal and Fractional, 2021 The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
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