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Modern discrete mathematics and analysis : with applications in cryptography, information systems and modeling

Author: Nicholas J Daras; Themistocles M Rassias
Publisher: Cham, Switzerland : Springer, [2018]
Series: Springer optimization and its applications, v. 131.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Modern discrete mathematics and analysis.
Cham, Switzerland : Springer, [2018]
(OCoLC)1016050055
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Nicholas J Daras; Themistocles M Rassias
ISBN: 9783319743257 3319743252 3319743244 9783319743240
OCLC Number: 1043830971
Description: 1 online resource
Contents: Intro; Preface; Contents; Contributors; Fixed Point Theorems in Generalized b-Metric Spaces; Introduction and Preliminaries; Linear Quasi-Contractions; Nonlinear Contractions; References; Orlicz Dual Brunn-Minkowski Theory: Addition, Dual Quermassintegrals and Inequalities; Introduction; Preliminaries; Mixed p-Quermassintegrals of Convex Bodies; Dual Mixed Quermassintegrals; Dual Mixed p-Quermassintegrals; Dual Mixed Harmonic p-Quermassintegrals; Orlicz Radial Harmonic Addition; Orlicz Dual Mixed Quermassintegral; Orlicz Dual Minkowski Inequality; Orlicz Dual Brunn-Minkowski Inequality. Dual Log-Minkowski InequalityReferences; Modeling Cyber-Security; Introduction; Mathematical Definition of Cyberspace; Mathematical Description of Cyber-Attacks; Valuations and Vulnerabilities of Parts of a Node Constituent; Cyber-Effects and Cyber-Interactions; Description of Cyber Navigations and Protection from Unplanned Attacks; Cyber Navigations; Inadequacy of Cyber Nodes; Infected Cyber Nodes; Dangerous Navigations; Protection of Cyber Nodes from Unplanned Attacks; Description of Various Types of Cyber-Attacks and Protection; Passive Cyber-Attacks. Protected Cyber Nodes from Passive AttacksActive Cyber-Attacks; Protected Cyber Nodes from Active Attacks; References; Solutions of Hard Knapsack Problems Using Extreme Pruning; Introduction; Lattices; Lenstra-Lenstra-Lovsz Algorithm (LLL); Gram-Schmidt Orthogonalization (GSO); LLL-Pseudocode; Analysis of LLL; Blockwise Korkine-Zolotarev (BKZ); The Enumeration Subroutine; Extreme Pruning; Attacks to Subset Sum Problem; Birthday Attacks; Lattice Attacks; Experiments; Conclusions; Appendix; References; A Computational Intelligence System Identifying Cyber-Attacks on Smart Energy Grids. IntroductionSmart Energy Grids; Conceptual Framework; Conceptual Model; Cybersecurity for Smart Grid Systems; A New, Smart Era for the Energy Grids; Risks Involved; Threats; Types of Attacks; Cyber Attacks on Smart Grid; SCADA Systems; Methods of Attack; Literature Review; Power System Attack Datasets; SCADA Power System Architecture; Types of Scenarios; The Final Dataset; Methodology and Techniques; Extreme Learning Machines; Adaptive Elitist Differential Evolution (AEDE); Adaptive Elitist Differential Evolution ELM (AEDE-ELM); Results and Comparative Analysis; Discussion: Conclusions.
Series Title: Springer optimization and its applications, v. 131.
Responsibility: Nicholas J. Daras, Themistocles M. Rassias, editors.

Abstract:

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new  Read more...

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