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• Cluster Analysis in Big Data Mining.- Deep Neural Networks and Hybrid GMDH
• Neuro-fuzzy Networks in Big Data Analysis.- Pattern Recognition in Big Data Analysis.- Intellectual analysis of systemic world conflicts and global forecast for the 21st century.

The book is devoted to the analysis of big data in order to extract from these data hidden patterns necessary for making decisions about the rational behavior of complex systems with the different nature that generate this data. To solve these problems, a group of new methods and tools is used, based on the self-organization of computational processes, the use of crisp and fuzzy cluster analysis methods, hybrid neural-fuzzy networks, and others. The book solves various practical problems. In particular, for the tasks of 3D image recognition and automatic speech recognition large-scale neural networks with applications for Deep Learning systems were used. Application of hybrid neuro-fuzzy networks for analyzing stock markets was presented. The analysis of big historical, economic and physical data revealed the hidden Fibonacci pattern about the course of systemic world conflicts and their connection with the Kondratieff big economic cycles and the Schwabe-Wolf solar activity cycles. The book is useful for system analysts and practitioners working with complex systems in various spheres of human activity.

• Introduction: Special Classes of Extended Phase Spaces of Distributions.- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results.- Regularity of Solutions for Nonlinear Systems.- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems.- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems.- Indirect Lyapunov Method for Autonomous Dynamical Systems.
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Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems:(a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and(d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
(source: Nielsen Book Data)

• I. Operator inclusions and variation inequalities for earth data processing
• II. Differential-operator inclusions and evolution variation inequalities for earth data processing.

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the first of two volumes dealing with the subject.

• Auxiliary Statements
• Differential-Operator Inclusions with W-Lambda-pseudomonotone Maps.-Evolution Variation Inequalities
• Vortical Flow Pattern Past a Square Prism: Numerical Model and Control Algorithms.

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the second of two volumes dealing with the subject.

• Part 1. Introduction / Vitamin D Deficiency: Historical Perspectives / Kumaravel Rajakumar and Michael F. Holick
• Perspective: Evolution of Human Skin Color: How Low Levels of Vitamin D Drove Natural Selection / Scott T. Weiss
• Part 2. Vitamin D Mechanisms of Relevance to Lung Diseases / Vitamin D and Lung Development in Early Life / Virender K. Rehan and John S. Torday
• Vitamin D and the Innate Immune Response / Aria Vazirnia and Philip T. Liu
• Vitamin D and Regulatory T Cells / Zoë Urry, Sarah Dimeloe and Catherine M. Hawrylowicz
• Dendritic Cell Modulation by the Vitamin D System / Luciano Adorini, Gilles Laverny and Giuseppe Penna
• Vitamin D Modulates Airway Smooth Muscle Function / Audreesh Banerjee and Reynold A. Panettieri Jr.
• Vitamin D: Genetics and Genomic Effects / Kelan G. Tantisira
• Part 3. Disease Associations / Acute Respiratory Infections / Jonathan M. Mansbach and Carlos A. Camargo Jr.
• The Role of Vitamin D in the Development, Exacerbation, and Severity of Asthma and Allergic Diseases / Augusto A. Litonjua
• Vitamin D and Chronic Obstructive Pulmonary Disease / Wim Janssens, An Lehouck, Marc Decramer and Ghislaine Gayan-Ramirez
• Cystic Fibrosis / Helen M. Buntain and Anne B. Chang
• Tuberculosis / Adrian R. Martineau
• Lung Cancer / David C. Christiani and C. Matthew Kinsey.

In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
(source: Nielsen Book Data)

• Part I Applied Methods of Modern Algebra and Analysis.- The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces.- Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential.- Multiplicative and Additive Problems of Partitions of Natural Numbers.- Critical Analysis of Amino Acids and Polypeptides Geometry.- On the Riemann's Problem for one Nonstrictly Hyperbolic System.- Part II Non-autonomous and Stochastic Dynamical Systems.- Dynamics of Non-autonomous Chemostat Models.- Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review.- A Generalized Cahn-Hilliard Equation with Logarithmic Potentials.- Attractors for Multivalued Processes with Weak Continuity Properties.- L'evy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces.- Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations.- Some Properties for Exact Generalized Processes.- Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems.- Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology and Climatology.- Part III Optimization, Control and Decision Sciences for Continuum Mechanics Problems.- Robust Stability, Minimax Stabilization and Maximin Testing in Problems of Semi-Automatic Control.- Dynamics of Solutions for Controlled Piezoelectric Fields with Multivalued "Reaction-Displacement" Law.- Minimax Estimates for Solutions of Parabolic-Hyperbolic Equations with Non-local Boundary Conditions.- The Optimal Control Problem for Parabolic Equation with Non-local Boundary Conditions in Circular Sector.- On the Existence of Weak Optimal Controls in the Coefficients for a Degenerate Anisotropic p-Laplacian.- Part IV Fundamental and Computational Mechanics.- Uniform Approach to Construction of Non isothermal Models in the Theory of Constitutive Relations.- Active Near-Wall Flow Control via a Cross Groove with Suction.- A Numerical Study of Solitary Wave Interactions with a Bottom Step.
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As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine "Kyiv Polytechnic Institute". The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.
(source: Nielsen Book Data)

• Part I. Abstract Algebra and Applications
• Algebra and Geometry Through Hamiltonian Systems / Anatoly T. Fomenko and Andrei Konyaev
• On Hyperbolic Zeta Function of Lattices / L.P. Dobrovolskaya, M.N. Dobrovolsky, N.M. Dobrovol'skii and N.N. Dobrovolsky
• The Distribution of Values of Arithmetic Functions / G.V. Fedorov
• On the One Method of Constructing Digital Control System with Minimal Structure / V.V. Palin
• On Norm Maps and "Universal Norms" of Formal Groups Over Integer Rings of Local Fields / Nikolaj M. Glazunov
• Assignment of Factors Levels for Design of Experiments with Resource Constraints / S.A. Smirnov, O.O. Glushchenko, K.A. Ilchuk, I.L. Makeenko and N.A. Oriekhova
• Part II. Mechanics and Numerical Methods
• How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses? / D.V. Georgievskii
• Finite-Difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh / G.M. Kobelkov and A.V. Drutsa
• Dynamics of Vortices in Near-Wall Flows with Irregular Boundaries / I.M. Gorban and O.V. Khomenko
• Strongly Convergent Algorithms for Variational Inequality Problem Over the Set of Solutions the Equilibrium Problems / Vladimir V. Semenov
• Part III. Long-time Forecasting in Multidisciplinary Investigations
• Multivalued Dynamics of Solutions for Autonomous Operator Differential Equations in Strongest Topologies / Mikhail Z. Zgurovsky and Pavlo O. Kasyanov
• Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System / Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero and Mikhail Z. Zgurovsky
• Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations / Pavlo O. Kasyanov, Luisa Toscano and Nina V. Zadoianchuk
• Inertial Manifolds and Spectral Gap Properties for Wave Equations with Weak and Strong Dissipation / Natalia Chalkina
• On Regularity of All Weak Solutions and Their Attractors for Reaction-Diffusion Inclusion in Unbounded Domain / Nataliia V. Gorban and Pavlo O. Kasyanov
• On Global Attractors for Autonomous Damped Wave Equation with Discontinuous Nonlinearity / Nataliia V. Gorban, Oleksiy V. Kapustyan, Pavlo O. Kasyanov and Liliia S. Paliichuk
• Part IV. Control Theory and Decision Making
• On the Regularities of Mass Random Phenomena / Victor I. Ivanenko and Valery A. Labkovsky
• Optimality Conditions for Partially Observable Markov Decision Processes / Eugene A. Feinberg, Pavlo O. Kasyanov and Mikhail Z. Zgurovsky
• On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage / Peter I. Kogut and Günter Leugering
• On Existence and Attainability of Solutions to Optimal Control Problems in Coefficients for Degenerate Variational Inequalities of Monotone Type / Olga P. Kupenko
• Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem / V.O. Kapustyan, O.A. Kapustian and O.K. Mazur
• Guaranteed Safety Operation of Complex Engineering Systems / Nataliya D. Pankratova and Andrii M. Raduk.

This volume closes the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.

• Part I: System Analysis of Complex Systems.- Cyclic Regularities of the Covid-19 Spread and Vaccination Effect on Its Further Reduction.- Cyber-physical Systems Operation with Guaranteed Survivability and Safety under Conditions of Uncertainty and Multifactor Risks.- System Approach to Control-Oriented Mathematical Modeling of Thermal Processes of Buildings.- Toward the Mentality Accounting in Large Social Systems Models.- The Strategy of Underground Construction Objects Planning Based on Foresight and Cognitive Modelling Methodologies.- Assessing Territories for Urban Underground Objects Using Morphological Analysis-Based Model.- Application of Impulse Process Models with Multirate Sampling in Cognitive Maps of Cryptocurrency for Dynamic Decision Making.- Systemic Approach to Risk Estimation Using DSS.- Experimental Research of Impact of Order of Pairwise Alternative Comparisons upon Credibility of Expert Session Results.- Part II: Computational Intelligence and Intelligent Computing Technologies.- Enhancing the Relevance of Information Retrieval in Internet Media and Social Networks in Scenario Planning Tasks.- Breathmonitor: AI Sleep Apnea Mobile Detector.- Structure Optimization and Investigations of the Hybrid GMDH-Neo-fuzzy Neural Networks in Forecasting Problems.- The Method of Deformed Stars as a Population Algorithm for Global Optimization.- Guaranteed Estimation of Solutions to First Order Compatible Linear Systems of Periodic Ordinary Differential Equations with Unknown Right-Hand Sides.- Application of the Theory of Optimal Set Partitioning for Constructing Fuzzy Voronoi Diagrams.- Integrated Approach to Financial Data Analysis, Modeling and Forecasting.- Unranked Fuzzy Logic and Reasoning.- Fractal Analysis and Its Applications in Urban Environment.- Fractal Analysis Usage Areas in Healthcare.- Program Code Protecting Mechanism Based on Obfuscation Tools. .
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The book contains the newest advances related to research and development of complex intellectual systems of various nature, acting under conditions of uncertainty and multifactor risks, intelligent systems for decision-making, high performance computing, state-of-the-art information technologies for needs of science, industry, economy, and environment. The most important problems of sustainable development and global threats estimation, forecast and foresight in tasks of planning and strategic decision-making are investigated. This monograph will be useful to researchers, post-graduates, and advanced students specializing in system analysis, decision-making, strategic planning or engineering design, fundamentals of computational Intelligence, artificial Intelligence systems based on hybrid neural networks, big data, and data mining.
(source: Nielsen Book Data)