LEADER 12965nam 22006255 450 001 9910564691603321 005 20230817131815.0 010 $a3-030-97020-5 024 7 $a10.1007/978-3-030-97020-8 035 $a(MiAaPQ)EBC6962850 035 $a(Au-PeEL)EBL6962850 035 $a(CKB)21639816600041 035 $a(DE-He213)978-3-030-97020-8 035 $a(PPN)262170558 035 $a(EXLCZ)9921639816600041 100 $a20220425d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematics and its Applications in New Computer Systems $eMANCS-2021 /$fedited by Andrei Tchernykh, Anatoly Alikhanov, Mikhail Babenko, Irina Samoylenko 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (571 pages) 225 1 $aLecture Notes in Networks and Systems,$x2367-3389 ;$v424 311 08$aPrint version: Tchernykh, Andrei Mathematics and Its Applications in New Computer Systems Cham : Springer International Publishing AG,c2022 9783030970192 327 $aIntro -- Preface -- Contents -- Comparison of Approaches to the Circuits Design for DWT with CDF 9/7 Wavelet -- 1 Introduction -- 2 Materials and Methods -- 2.1 Theoretical Analysis of Generations Discrete Wavelet Transform -- 2.2 Comparison of Direct Implementations and Lifting Scheme Using the Unit-Gate Model -- 3 Results and Discussion -- 4 Conclusion -- References -- Hamming Neural Network in Discrete Form -- 1 Introduction -- 2 Background on Hamming Neural Network -- 3 Hamming Neural Network in Discrete Form -- 4 Conclusion -- References -- Improving Extreme Search with Natural Gradient Descent Using Dirichlet Distribution -- 1 Introduction -- 2 Preliminaries -- 2.1 Gradient Descent with Step-Size Adaptation -- 2.2 Adam Algorithm -- 2.3 Natural Gradient Descent and KL-divergence -- 3 Natural Gradient Descent with Dirichlet Distribution -- 4 Experimental Results -- 5 Discussion -- References -- CRTf-Based Reverse Converter for RNS with Low-Cost Modules {2n,2n-1,2n+1-1} -- 1 Introduction -- 2 Preliminaries -- 2.1 Background on Residue Number System -- 2.2 RNS to BNS Conversion Using CRTf -- 2.3 A Measure of RNS Balance with 3 Modules -- 3 CRTf Method for RNS with Balanced Modules {2n,2n-1,2n+1-1} -- 4 Reverse Converter for RNS with a Set of Modules {2n,2n-1,2n+1-1} -- 5 Hardware Modeling of Reverse Converter for RNS {2n,2n-1,2n+1-1} -- 6 Conclusions -- References -- Neural Network Classification of Dermatoscopic Images of Pigmented Skin Lesions -- 1 Introduction -- 2 Classification System Proposed for Dermatoscopic Images -- 3 Modeling of Dermatoscopic Images Processing -- 4 Conclusion -- References -- Decentralized Role-Based Secure Management in Wireless Sensor Networks -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion and Conclusion -- References. 327 $aNumerical Study of Longitudinal-Transverse Vibrations of Objects with a Moving Boundary -- 1 Introduction -- 2 Formulation of the problem -- 3 Description of the Numerical Method -- 4 Longitudinal-Transverse Vibrations of a String Taking into Account Geometric Nonlinearity -- 5 Conclusion -- References -- On the Algorithmic Complexity of Digital Image Processing Filters with Winograd Calculations -- 1 Introduction -- 2 Organization of Computations in Digital Image Processing Filters by the Winograd Method -- 3 Analysis of Algorithmic Complexity of Digital Image Processing Filters -- 4 Conclusions -- References -- Non-classical Methods of Determination Critical Forces of Compressed Rods -- 1 Introduction -- 2 Constant Cross-section Bar -- 2.1 Bar of Variable Cross-section -- 3 Conclusions -- References -- Numerical Simulation of the Control System of the Propulsion-Steering System of Tele-Controlled Uninhabited Vehicles -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion -- 5 Conclusion -- References -- Numerical Method for Correcting Command Signals for Combined Control of a Multiengined Complex -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion -- 5 Conclusion -- References -- Hardware Implementation of the Kalman Filter for Video Signal Processing -- 1 Introduction -- 2 Materials and Methods -- 2.1 Theoretical Analysis of Kalman Filter -- 3 Results and Discussion -- 4 Conclusion -- References -- Solving the Euler Problem for a Flexible Support Rod Base on the Finite Difference Method -- 1 Introduction -- 2 Mathematical Model -- 3 Constant Cross-Section Rod -- 4 Variable Cross-Section Rod -- 5 Conclusions -- References -- Multiscale Model Reduction for the Poroelasticity Problems Using Embedded Fracture Model -- 1 Introduction -- 2 Mathematical Model and Fine Grid Approximation. 327 $a3 Coarse Grid Approximation Using GMsFEM -- 4 Numerical Results -- 4.1 Two-Dimensional Problems -- 4.2 Three-Dimensional Problems -- 5 Conclusion -- References -- Error Correction Method in Modular Redundant Codes -- 1 Introduction -- 2 Materials and Methods -- 2.1 Modular Redundancy Codes -- 2.2 Corrective Abilities of RNS -- 2.3 Development of a Method for Error Correction in Modular Redundancy Code -- 2.4 Error Correction with One Control Base -- 2.5 Correction of Errors with Two Control Bases -- 3 Results -- 4 Discussion -- 5 Conclusion -- References -- Comparative Analysis of the Mathematical Literacy Level in First-Year Students of the North-Caucasus Federal University, Based on the International PISA Studies -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion and Conclusion -- References -- Implementation of the Learning Procedure with Equalized Errors on the Receiving Side of the Information Transmission System -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Conclusion -- References -- A Feature Fusion Based Deep Learning Model for Deepfake Video Detection -- 1 Introduction -- 2 Proposed Model -- 2.1 Generation of Cropped Faces from Video Frames -- 2.2 Deep Feature Fusion Based Classification -- 3 Results and Discussion -- 3.1 Dataset Preparation -- 3.2 Experimental Setups -- 3.3 Experimental Results -- 3.4 Comparison with Past Methods -- 4 Conclusion -- References -- Search for an Object with a Recognition Error by a Desktop Grid -- 1 Introduction -- 2 The Mathematical Model -- 3 Solution of the Optimisation Problem -- 4 Numerical Experiments -- 5 Conclusion -- References -- Numerical Methods for Solving the Robin Boundary Value Problem for a Generalized Diffusion Equation with a Non-smooth Solution -- 1 Introduction. 327 $a2 Approximation of the Generalized Caputo Derivative by L1 Formula and a Difference Scheme -- 2.1 Derivation of Formula -- 2.2 Difference Scheme -- 3 Stability and Convergence -- 4 Numerical Results -- 5 Conclusion -- References -- Asymptotic of Calculation of Hydro-Mechanical Fields of a Marine Mobile Object by the Finite Volume Method -- 1 Introduction -- 2 Materials and Methods -- 2.1 A Subsection Sample -- 2.2 Calculations on Bernstein Polygonal Grids -- 3 Results -- 4 Discussion and Conclusion -- References -- A Deep Feature Selection Method for Tumor Classification in Breast Ultrasound Images -- 1 Introduction -- 2 Materials and Methods -- 2.1 Dataset Description -- 2.2 Spearman Rank Correlation Coefficient -- 2.3 Methodology -- 3 Experimental Results -- 3.1 Performance Metrics -- 3.2 Results -- 4 Result Analysis and Discussion -- 5 Conclusion -- References -- Reference Points Based RNS Reverse Conversion for General Moduli Sets -- 1 Introduction -- 2 Materials and Methods -- 2.1 Pure Look-up-Table Implementation -- 2.2 Reference Points Implementation -- 2.3 Hierarchical Reference Points Implementation -- 3 Results -- 4 Conclusion -- References -- Group Method of Data Separation in Wireless Sensor Networks -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Conclusion -- References -- Data Processing in Problem-Solving of Energy System Vulnerability Based on In-memory Data Grid -- 1 Introduction -- 2 Materials and Methods -- 2.1 Data Processing Scenarios -- 2.2 Apache Ignite -- 2.3 Workflow-Based Scientific Application for Solving the Problem of Energy System Vulnerability -- 3 Experimental Analysis -- 3.1 Computing Environment -- 3.2 Analysis of Computation Scaling -- 3.3 SQL Queries Processing -- 4 Discussion and Conclusions -- References -- Wind Speed Recovering from Lidar Sensing Data by Solving of Inverse Problem. 327 $a1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion and Conclusion -- References -- A Simulation Device Model for Managing Access to Confidential Information Stored in a Cloud -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion -- 5 Conclusion -- References -- Implementation of an Integro-Differential Model of a Singularly Loaded Rod by the Finite Element Method -- 1 Introduction -- 2 Materials and Methods -- 2.1 A Subsection Sample -- 3 Results. -- 4 Conclusion -- References -- Experience and Prospects of Implementing a Model of Mathematics Distance Learning in North-Caucasus Federal University Training e-Environment -- 1 Introduction -- 2 Materials and Methods -- 2.1 A Review of the Development and Introduction Stages for the Modified Distance Learning Model -- 2.2 Analysis of the Modified Learning Model Implementation and the Course Content Specifics -- 2.3 Positive Aspects of Using the Available Content When Switching to Distance Learning -- 3 Results -- 4 Discussion -- 5 Conclusion -- References -- On Numerical Modeling of the Young's Experiment with Two Sources of Single-Photon Spherical Coordinate Wave Functions -- 1 Introduction -- 2 Photon Wave Function in Coordinate Representation -- 3 Two-Photon Interference of "Spherical Waves" from Two Point Sources in the Scheme of the Young Experiment -- 4 Conclusion -- References -- Employing the TIMSS International Study Tools to Evaluate Mathematical Competencies in Future Teachers of Mathematics -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion and Conclusion -- References -- Elements of Fuzzy Logic in Solving Clustering Problems -- 1 Introduction -- 2 Materials and Methods -- 3 Results -- 4 Discussion -- 5 Conclusion -- References. 327 $aDifference Methods of Solving Non-local Boundary Value Problems for a Loaded Generalized Diffusion Equation with Bessel Operator. 330 $aThis book is based on the best papers accepted for presentation during the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021), Russia. The book includes research materials on modern mathematical problems, solutions in the field of cryptography, data analysis and modular computing, as well as scientific computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in mathematical solutions to cryptography issues are devoted to secret sharing schemes, public key systems, private key systems, n-degree comparisons, modular arithmetic of simple, addition of points of an elliptic curve, Hasse theorem, homomorphic encryption and learning with error, and modifications of the RSA system. Furthermore, issues in data analysis and modular computing include contributions in the field of mathematical statistics, machine learning methods, deep learning, and neural networks. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of cryptography, information security, parallel computing, computer technology, and mathematical education. 410 0$aLecture Notes in Networks and Systems,$x2367-3389 ;$v424 606 $aEngineering$xData processing 606 $aEngineering mathematics 606 $aData Engineering 606 $aMathematical and Computational Engineering Applications 606 $aEngineering Mathematics 615 0$aEngineering$xData processing. 615 0$aEngineering mathematics. 615 14$aData Engineering. 615 24$aMathematical and Computational Engineering Applications. 615 24$aEngineering Mathematics. 676 $a004.0151 676 $a004.0151 702 $aTchernykh$b Andrei 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910564691603321 996 $aMathematics and Its Applications in New Computer Systems$92903938 997 $aUNINA