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320 × 240 SPAD Direct Time-of-Flight Image Sensor and Camera Based on In-Pixel Correlation and Switched-Capacitor Averaging. [PDF]
Sensors (Basel)Kuijk M +7 more
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Road foundation thawing at change in Ice content along the active layer depth [PDF]
E3S Web of Conferences, 2023 The seasonal temperature and humidity regime of the road foundation in the active layer of soil largely determines the reliability and safety of the automobile road use.
Galkin A.F. +3 more
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Nonlinear Analysis, 2023 We consider an optimal control problem for a differential inclusion of the Carathéodory type affine with respect to the control with a coercive cost functional on a semiaxis and with fast oscillating time-dependent coefficients.
Sergey Dashkovskiy +3 more
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
Lietuvos Matematikos Rinkinys, 2023 A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along ...
Aleksandras Krylovas
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2011 IEEE International Symposium on Information Theory Proceedings, 2011 We are interested in the following question: given n numbers x[subscript 1], ..., x[subscript n], what sorts of approximation of average x[subscript ave] = 1overn (x[subscript 1] + ... + x[subscript n]) can be achieved by knowing only r of these n numbers. Indeed the answer depends on the variation in these n numbers.
Bodas, Shreeshankar, Shah, Devavrat
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Krylov–Bogolyubov averaging [PDF]
Russian Mathematical Surveys, 2020 Abstract A modified approach to the classical Krylov– Bogolyubov averaging method is presented. It was developed recently for studying partial differential equations, enables one to treat Lipschitz perturbations of linear systems with purely imaginary spectrum, and may be generalized to the case of systems of PDEs with small non ...
Jian, Wenwen, Kuksin, Sergei, Wu, Yuan
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On the Tortuosity-Connectivity of Cement-Based Porous Materials
Applied Sciences, 2021 In this work, the transport equations of ionic species in concrete are studied. First, the equations at the porescale are considered, which are then averaged over a representative elementary volume.
Michiel Fenaux +4 more
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Mathematics, 2021 Typically stochastic differential equations (SDEs) involve an additive or multiplicative noise term. Here, we are interested in stochastic differential equations for which the white noise is nonlinearly integrated into the corresponding evolution term ...
Haralampos Hatzikirou +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $f$ be an entire function of order $\rho\in (0,+\infty)$ with zeros on a finite system of rays $\{z: \arg z=\psi_{j}\}$, $j\in\{1,\ldots,m\}$, $0\le ...
R.V. Khats'
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First steps towards the averaging with respect to a part of the coordinates [PDF]
Theoretical and Applied MechanicsThe problem of averaging on an infinite time interval is considered. The classical results on averaging proved by N.N. Bogoluybov are generalized to the case in which only a part of the coordinates in the phase space remains close to the ...
Polekhin Ivan
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