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Nonlinear Dimensionality Reduction
This book describes existing and advanced methods to reduce the dimensionality of numerical databases. For each method, the description starts from intuitive ideas, develops the necessary mathematical details, and ends by outlining the algorithmic implementation. Methods are compared with each other with the help of different illustrative examples. The purpose of the book is to summarize clear facts and ideas about well-known methods as well as recent developments in the topic of nonlinear dimensionality reduction. With this goal in mind, methods are all described from a unifying point of view, in order to highlight their respective strengths and shortcomings.
Nonlinear Continua
This book develops a modern presentation of Continuum Mechanics, oriented towards numerical applications in the fields of nonlinear analysis of solids, structures and fluid mechanics. though the mathematical presentation of the different topics is quite rigorous, an effort is made to link formal developments with engineering physical intuition.
Nonlinear and Optimal Control Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004
The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle.
Non-Equilibrium Social Science and Policy : Introduction and Essays on New and Changing Paradigms in Socio-Economic Thinking
The overall aim of this book, an outcome of the European FP7 FET Open NESS project, is to contribute to the ongoing effort to put the quantitative social sciences on a proper footing for the 21st century. A key focus is economics, and its implications on policy making, where the still dominant traditional approach increasingly struggles to capture the economic realities we observe in the world today - with vested interests getting too often in the way of real advances.Insights into behavioral economics and modern computing techniques have made possible both the integration of larger information sets and the exploration of disequilibrium behavior
Noise-Induced Transitions : Theory and Applications in Physics, Chemistry, and Biology
This classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems.
Noise-Induced Phenomena in Slow-Fast Dynamical Systems : A Sample-Paths Approach
Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains. In addition to the detailed presentation of the set-up and mathematical results, applications to problems in physics, biology, and climatology are discussed. The emphasis lies on noise-induced phenomena such as stochastic resonance, hysteresis, excitability, and the reduction of bifurcation delay.
Nexus Network Journal 9,2 : Architecture and Mathematics
This volume is dedicated to "Mechanics in Architecture", that is, the science of structural mechanics, including the behaviour of structures, internal forces, and deformation, as well as the development of new structural systems to resist thrusts as a result of new architectural forms. It is a field of enquiry that examines a particular aspect of the relationships between architecture and the mathematical sciences. Some of the papers in this issue were presented at the Nexus 2006 conference during a special session dedicated to mechanics. Other research papers focus on an eighteenth-century Belgian pyramid, aspects of "fractal" architecture, and properties of a family of irrational values. The issue also includes a description and evaluation of a university-level course in architecture and mathematics, Rachel Fletcher's Geometer's Angle column, and book reviews.
New trends in computational vision and bio-inspired computing : Selected works presented at the ICCVBIC 2018, Coimbatore, India
Gathers selected, peer-reviewed original contributions presented at the International Conference on Computational Vision and Bio-inspired Computing (ICCVBIC) conference which was held in Coimbatore, India, on November 29-30, 2018. The works included here offer a rich and diverse sampling of recent developments in the fields of Computational Vision, Fuzzy, Image Processing and Bio-inspired Computing. The topics covered include computer vision; cryptography and digital privacy; machine learning and artificial neural networks; genetic algorithms and computational intelligence; the Internet of Things; and biometric systems, to name but a few. The applications discussed range from security, healthcare and epidemic control to urban computing, agriculture and robotics.
New Tools of Economic Dynamics
New Tools of Economic Dynamics gives an introduction and overview of recently developed methods and tools, most of them developed outside economics, to deal with the qualitative analysis of economic dynamics. It reports the results of a three-year research project by a European and Latin American network on the intersection of economics with mathematical, statistical, and computational methods and techniques. Focusing upon the evolution and manifold structure of complex dynamic phenomena, the book reviews and shows applications of a variety of tools, such as symbolic and coded dynamics, interacting agents models, microsimulation in econometrics, large-scale system analysis, and dynamical systems theory. It shows the potential of a comprehensive analysis of growth, fluctuations, and structural change along the lines indicated by pioneers like Harrod, Haavelmo, Hicks, Goodwin, Morishima, and it highlights the explanatory power of the qualitative approach they initiated.
New Results in Numerical and Experimental Fluid Mechanics VI ; Contributions to the 15th STAB/DGLR Symposium Darmstadt, Germany, 2006
The volume gives a broad overview over the ongoing work in this field in Germany, with the topics being high-aspect ratio wings, low aspect-ratio wings, bluff bodies, laminar flow control and transition, active flow control, hypersonic flows, aeroelasticity, aeroacoustics, mathematical fundamentals/ numerical simulation, physical fundamentals, and facilities.
New Results in Numerical and Experimental Fluid Mechanics V ; Contributions to the 14th STAB/DGLR Symposium Bremen, Germany 2004
This volume contains the contributions to the 14. Symposium of the STAB (German Aerospace Aerodynamics Association). The volume gives a broad overview over the ongoing work in this field in Germany, with the topics being high-aspect ratio wings, low aspect-ratio wings, bluff bodies, laminar flow control and transition, active flow control, hypersonic flows, aeroelasticity, aeroacoustics, mathematical fundamentals/ numerical simulation, physical fundamentals, and facilities.
New Directions and Applications in Control Theory
This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.
New Developments in Formal Languages and Applications
The theory of formal languages is widely recognized as the backbone of theoretical computer science, originating from mathematics and generative linguistics, among others. As a foundational discipline, formal language theory concepts and techniques are present in a variety of theoretical and applied fields of contemporary research which are concerned with symbol manipulation: discrete mathematics, bioinformatics, natural language processing, pattern recognition, text retrieval, learning, cryptography, compression, etc.
New Computational Paradigms ; 1st Conference on Computability in Europe, CiE 2005, Amsterdam, The Netherlands, June 8-12, 2005, Proceedings
This book constitutes the refereed proceedings of the first International Conference on Computability in Europe, CiE 2005, held in Amsterdam, The Netherlands in June 2005. The 68 revised full papers presented were carefully reviewed and selected from 144 submissions. Among them are papers corresponding to two tutorials, six plenary talks and papers of six special sessions involving mathematical logic and computer science at the same time as offering the methodological foundations for models of computation. The papers address many aspects of computability in Europe with a special focus on new computational paradigms. These include first of all connections between computation and physical systems (e.g., quantum and analog computation, neural nets, molecular computation), but also cover new perspectives on models of computation arising from basic research in mathematical logic and theoretical computer science.
New Computational Paradigms : Changing Conceptions of What is Computable
This book examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. The book opens with an introduction by Andrew Hodges, the Turing biographer, who analyzes the pioneering work that anticipated recent developments concerning computation’s allegedly new paradigms. The remaining material covers traditional topics in computability theory such as relative computability, theory of numberings, and domain theory, in addition to topics on the relationships between proof theory, computability, and complexity theory.
New Advances in Virtual Humans: Artificial Intelligence Environment
In this book, various aspects of cognitive and emotional behaviour is described. In chapter one, a state of the art introduction to VH is presented and the associated research is given. In Chapter 2, cognitive and emotions processes are described. A Comprehensive context model for multi-party interactions with the VH is given in the next chapter. Finally, it is very important to model the socializing of groups of virtual humans. This is discussed in Chapter 4. The automatic modelling of expressions for VH is described in Chapter 5. The last chapter gives a case study of an intelligent kios avatar and its usability.
Networks : From Biology to Theory
The concept of a network emerges as a powerful and stimulating research paradigm in mathematics, physics and computer science, and demonstrates a very lively interaction between experimental findings, simulation studies, and theoretical investigations that then in turn lead to new experimental questions. This volume explores this concept in full and features contributions from a truly global set of contributors.
Networked Sensing Information and Control
In recent years, there has been significant interest and advances in developing systematic techniques to synthesize interactive and reconfigurable distributed sensing systems that are capable of performing effective inferencing and control tasks under overall resource constraints. Networked Sensing Information and Control is a collection of papers which present broad trends in the mathematical aspects of networked sensing, information, and control.
Network Performance Analysis : Using the J Programming Language
This useful volume introduces concepts and principles of network performance analysis by example, using the J programming language. J is rich in mathematical functionality, which makes it an ideal tool for analytical methods. The book favours a practical approach and develops functions in J to demonstrate mathematical concepts, thereby enabling readers to explore the underlying principles behind network performance analysis. In addition, this allows the subject to become more accessible to those who, although have a mathematical background, are not pure mathematicians.
Natural language and information systems ; 13th International Conference on Applications of Natural Language to Information Systems, NLDB 2008 London, UK, June 24-27, 2008 Proceedings
This volume contains the papers presented at NLDB 2008, the 13th Inter- tional Conference on Natural Language and Information Systems, held June 25-27,2008.It also containssome of the best researchproposalsas submitted to the NLDB2008 doctoral symposium heldonJune24,2008.Theprogrammealso includes three invited talks covering the main perspectives of the application of naturallanguageto informationsystems: the wayhumansprocess, communicate and understand natural language, what are the implications and challenges - wardssemanticsearchfor the new Webgeneration, how naturallanguageapplies to the well-established database way of querying as a means to unlock data and information for end users.
