Modern discrete mathematics and analysis : with applications in cryptography, information systems and modeling /: with applications in cryptography, information systems and modeling. ([2018])

• Record Type: Book
• Further Information: Note: Nicholas J. Daras, Themistocles M. Rassias, editors.
• Editors: Daras, Nicholas J; Rassias, Themistocles M, 1951-
• 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
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 515; Mathematics; Mathematical analysis; Computer science -- Mathematics; Mathematical optimization; Global analysis (Mathematics); MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Computer science -- Mathematics; Mathematical analysis; Mathematical optimization; Mathematics -- Mathematical Analysis; Mathematics -- Applied; Calculus & mathematical analysis; Mathematical modelling; Applied mathematics; Mathematics -- Discrete Mathematics; Discrete mathematics; Mathematics; Discrete Mathematics; Analysis; Mathematical Modeling and Industrial Mathematics; Applications of Mathematics; Electronic books
• Languages: English
• ISBNs: 9783319743257; 3319743252; 3319743244; 9783319743240
• Related ISBNs: 9783319743240; 3319743244
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed July 13, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.