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Complex-valued neural networks
This book is the first monograph ever on complex-valued neural networks, which lends itself to graduate and undergraduate courses in electrical engineering, informatics, control engineering, mechanics, robotics, bioengineering, and other relevant fields. It is useful for those beginning their studies, for instance, adaptive signal processing for highly functional sensing and imaging, control in unknown and changing environment, brainlike information processing, robotics inspired by human neural systems, and interdisciplinary studies to realize comfortable society. It is also helpful to those who carry out research and development regarding new products and services at companies.
Complex Variables with Applications
Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. It explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination.
Complex Orthogonal Space-Time Processing in Wireless Communications
Complex Orthogonal Space-Time Processing in Wireless Communications incorporates orthogonal space-time processing using STBCs in MIMO wireless communication systems. Complex Orthogonal STBCs (CO STBCs) are given emphasis because they can be used for PSK/QAM modulation schemes and are more practical than real STBCs. The overall coverage provides general knowledge about space-time processing and its applications for broad audiences. It also includes the most up-to-date review of the literature on space-time processing in general, and space-time block processing in particular.
Complex Engineered Systems : Science Meets Technology
This volume examines the difficulties that arise in creating highly complex engineered systems and new approaches that are being adopted. Topics addressed range from the formal representation and classification of distributed networked systems to revolutionary engineering practices inspired by biological evolution. By bringing together the latest research in Complex Engineered Systems, this book sheds light on the current state and future course of this emerging field.
Complex Computing-Networks : Brain-like and Wave-oriented Electrodynamic Algorithms
This book uniquely combines new advances in the electromagnetic and the circuits&systems theory. It integrates both fields regarding computational aspects of common interest. Emphasized subjects are those methods which mimic brain-like and electrodynamic behaviour; among these are cellular neural networks, chaos and chaotic dynamics, attractor-based computation and stream ciphers.
Complex Artificial Environments : Simulation, Cognition and VR in the Study and Planning of Cities
This book explores the possibilities of applying the theories of complexity and self-organization developed to account for various phenomena in the natural science to artifacts traditionally the realm of humanities and social sciences. The emphasis of this volume is on the development of cities and the impact of these methods on urban simulation methods.
Compendium of Theoretical Physics
Mechanics, Electrodynamics, Quantum Mechanics, and Statistical Mechanics and Thermodynamics comprise the canonical undergraduate curriculum of theoretical physics. In Compendium of Theoretical Physics, Armin Wachter and Henning Hoeber offer a concise, rigorous and structured overview that will be invaluable for students preparing for their qualifying examinations, readers needing a supplement to standard textbooks, and research or industrial physicists seeking a bridge between extensive textbooks and formula books. The authors take an axiomatic-deductive approach to each topic, starting the discussion of each theory with its fundamental equations. By subsequently deriving the various physical relationships and laws in logical rather than chronological order, and by using a consistent presentation and notation throughout, they emphasize the connections between the individual theories. The reader’s understanding is then reinforced with exercises, solutions and topic summaries.
Compatible Spatial Discretizations
Compatible spatial discretizations are those that inherit or mimic fundamental properties of the PDE such as topology, conservation, symmetries, and positivity structures and maximum principles. It offer a snapshot of the current trends and developments in compatible spatial discretizations. The reader will find valuable insights on spatial compatibility from several different perspectives and important examples of applications compatible discretizations in computational electromagnetics, geosciences, linear elasticity, eigenvalue approximations and MHD. The contributions collected in this volume will help to elucidate relations between different methods and concepts and to generally advance our understanding of compatible spatial discretizations for PDEs.
Comparative Environmental Politics
The book explores five major topics: state-society relations; environmental non-governmental organizations (ENGOs); Green parties and environmental movements; institutions of government and policy-making; variations in the capacities of states to protect the environment; and national responses to global problems. It compares and contrasts rich and poor nations, large and small countries, liberal democracies and authoritarian states.
Compactifications of Symmetric and Locally Symmetric Spaces
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces.
Compact Riemann Surfaces : An Introduction to Contemporary Mathematics
Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory.
Community Quality-of-Life Indicators : Best Cases II
This book is second in a series covering best practices in community quality-of-life (QOL) indicators. The first volume in this series is a compilation of cases of best work in community indicators research. This second volume continues to build on the goal of the series and includes eleven cases (chapters). The cases in both volumes describe communities that have launched their own community indicators programs.
Communicating Science : A Practical Guide
Each of the main parts is subdivided into two sections, Guidelines and Genres, with entries arranged in alphabetical order. The guidelines are devoted to entries such as acronyms, active or passive voice, body language, figures and captions, introduction, irony, and taking the floor. Within genres, all possible media of communicating science are treated, e.g. the after-dinner speech, conference presentation, keynote lecture, magazine article, research proposal, and teleconference.
Climate Variability, Predictability and Climate Risks : A European Perspective
This book provides an integrated assessment of issues related to climate variability and change, predictability and risks. It details both the technical aspects of variability and abrupt climate change and the agricultural and economical impacts and consequences.
Classification Algorithms for Codes and Designs
Almost a century earlier, in 1782, Euler [180] published some results on classifying small Latin squares, but for the ?rst few steps in this direction one should actually go at least as far back as ancient Greece and the proof that there are exactly ?ve Platonic solids. One of the most remarkable achievements in the early, pre-computer era is the classi?cation of the Steiner triple systems of order 15, quoted above. An onerous task that, today, no sensible person would attempt by hand calcu- tion. Because, with the exception of occasional parameters for which com- natorial arguments are e?ective (often to prove nonexistence or uniqueness), classi?cation in general is about algorithms and computation.
Classical Nucleation Theory in Multicomponent Systems
Nucleation is the initial step of every first-order phase transition, and most phase transitions encountered both in everyday life and industrial processes are of the first-order. Using an elegant classical theory based on thermodynamics and kinetics, this book provides a fully detailed picture of multi-component nucleation. As many of the issues concerning multi-component nucleation theory have been solved during the last 10-15 years, it also thoroughly integrates both fundamental theory with recent advances presented in the literature. It covered are: the basic relevant thermodynamics and statistical physics; modelling a molecular cluster as a spherical liquid droplet; predicting the size and composition of the nucleating critical clusters; kinetic models for cluster growth and decay; calculating nucleation rates; and a full derivation and application of nucleation theorems that can be used to extract microscopic cluster properties from nucleation rate measurements.
Classes of Finite Groups
Many group theorists all over the world have been trying in the last twenty-five years to extend and adapt the magnificent methods of the Theory of Finite Soluble Groups to the more ambitious universe of all finite groups. This is a natural progression after the classification of finite simple groups but the achievements in this area are scattered in various papers.Our objectives in this book were to gather, order and examine all this material, including the latest advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.
Cities in Transition : Globalization, Political Change and Urban Development
This book was written with the aim of showing that even in the era of globalization developments appearing in cities are not subject to almost unconditional global forces. Rather, universal forces are decisive eventualities in the process of urban restructuring, often influencing its course and speed, yet developments and particularities within a city strongly influence the course of events and the extent to which negative characteristics of globalization might occur.
Chronic Pain and Family : A Clinical Perspective
Chronic pain affects every facet of a patient’s life, and nowhere is this more evident than in the complex arena of family life. Chronic Pain and Family: a Clinical Perspective examines typical family issues associated with prolonged illness, offering realistic ways to approach them in therapy. Informed by current practice and his own experience, noted author/clinician Ranjan Roy brings fresh insights to common pain scenarios and therapeutic impasses, and provides a framework for assessing marital and family relationships when chronic pain is a defining factor. Clinicians will get not only a clearer understanding of sensitive issues, but also effective strategies for engaging clients without turning them off.
Children in Tort Law, Part I : Children as Tortfeasors
This volume gives answers to different questions concerning damage caused by children. Are children directly liable and is there any age limit below which they have no tortious capacity Can children, in spite of their lack of tortious capacity, for reasons of equity be held liable in exceptional conditions? What is the relationship between liability of children and liability of their parents or guardians? Are these questions answered by special rules of general application in all fields of tort liability or are there specific rules for specific torts
