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Method of Optimizing the Structure of Sowing Areas for the Adaptation of Crop Production to Climate Changes
The paper is devoted to crop production adaptation to climate change. It considers the problem of finding the future optimal structure of the sowing...
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Some Boundary-Value Problems Corresponding to the Model of Fractional Differential Filtration Dynamics in a Fractured Porous Media Under the Condition of Time Non-Locality
Closed-form solutions to some boundary-value problems of fractional differential geofiltration dynamics in a fractured porous medium are obtained for...
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Strong Convergence of the Regularized Operator Extrapolation Algorithm For Variational Inequalities
The authors propose and investigate a new algorithm for solving variational inequalities in Hilbert spaces. The proposed iterative algorithm is...
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Some Asymptotic Properties of Solutions to Triharmonic Equations
The author considers an optimization problem for the triharmonic equation under specific boundary conditions. As a result, the triharmonic Poisson...
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Simulation of 3D Volume Filling with Non-Spherical and Spherical Titanium Alloy Powder Particles for Additive Manufacturing
The authors have developed an approach to modeling the layer-by-layer filling of the particular 3D volume with a combination of non-spherical and...
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Stochastic Descriptor Pursuit Game
A differential pursuit game in a stochastic descriptor linear system is analyzed. The dynamic of the system is described by Ito’s stochastic...
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On the Existence of the Optimal Control for Stochastic Functional Differential Equations Subject to External Disturbances
The authors discuss the comparison theorem for solutions of stochastic functional differential equations subject to external disturbances and its...
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Digital Friend-or-Foe Authentication
The paper proposes a protocol of a multiple-time, two-round digital friend-or-foe authentication for a group of users. The protocol is based on the...
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Causal Discovery from Markov Properties Under Latent Confounders
We address the problems of causal structure inference from conditional independence facts when latent confounders are admitted. The conditions that...
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Increasing the Fault Tolerance in Microservice Architecture
Microservice architecture is widely used in the development of distributed applications. Many problems present at the beginning of using this...
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An Algebraic Method for the Synthesis of Error-Free Binary Neural Network
A mathematical model of the problem of calculating the weight coefficients of a binary neural network is presented. It is proved that in the case of...
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Mathematical Model of Magnet Superconducting Suspension
A complete study of the stability of static equilibrium in the system was carried out using the explicitly obtained function of the potential energy...
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A Problem of Optimal Control of Loading Points and Their Reaction Functions for a Parabolic Equation
The authors considered the problem of optimal control of loading points and the corresponding reaction functions described by a loaded parabolic...
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Optimizing the Capital Investment Distribution Based on a Dynamic Mathematical Model
The article considers extremum economic and mathematical dynamic optimization problems of distributing investments between the economy sectors of the...
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Mathematical Modeling of a Symmetric Boundary-Value Problem for a Layer Weakened by a Through Hole with the Ends Covered with a Diaphragm
The authors present a new mathematical model for solving a static symmetric boundary-value problem for a layer weakened by a through hole with ends...
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Estimation of the Time to Failure Distribution Function in a Highly Reliable N –1-Out-of-N: G Repairable System in the Case of Exponential Distributions of the Uptime Intervals of All Alternating Processes
The authors provide quantitative estimates for the convergence rate of the time-to-failure distribution function to an exponential function in a...
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Enhancing Video Sequence in Video Analytics Systems
A video enhancement method based on applying gamma correction is proposed. Its realization implies processing all video frames using a single...
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Algorithms for Constructing Minimal Generating Set of Solutions for Systems of Linear Equations
The authors consider optimization transformations of the algorithm for constructing minimal generating sets of solutions of systems of linear...
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Coreset Discovery for Machine Learning Problems
The authors review a coreset discovery problem and three main methods to solve it: geometric coreset estimation, coreset discovery using the genetic...
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Control Strategies in the Problem of Approach of Conflict-Controlled Objects
The authors propose a new approach to generating control strategies in the problem of approach of conflict-controlled objects. Modifications of the...