Page 7
Page 7
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 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.
Nonlinear Analysis and Synthesis Techniques for Aircraft Control
Given the continuous increase in the complexity of aircraft control laws, and the corresponding - crease in the demands on their performance and reliability, industrial control law designers are highly motivated to explore the applicability of new and more powerful methods for design and analysis. The successful application of fully nonlinear control techniques to aircraft control problems o?ers the prospect of improvements in several di?erent areas. Firstly, there is the possibility of - proving design and analysis criteria to more fully re?ect the nonlinear nature of the dynamics of the aircraft. Secondly, the time and e?ort required on the part of designers to meet demanding speci?cations on aircraft performance and h- dling could be reduced. Thirdly, nonlinear analysis techniques could potentially reduce the time and resources required to clear ?ight control laws, and help to bridge the gap between design, analysis and ?nal ?ight clearance.
Nonlinear Analyses and Algorithms for Speech Processing ; International Conference on Non-Linear Speech Processing, NOLISP 2005, Barcelona, Spain, April 19-22, 2005, Revised Selected Papers
We present in this volume the collection of ?nally accepted papers of NOLISP 2005 conference. It has been the third event in a series of events related to N- linear speech processing, in the framework of the European COST action 277 “Nonlinear speech processing”. Many speci?cs of the speech signal are not well addressed by conv- tional models currently used in the ?eld of speech processing. The purpose of NOLISP is to present and discuss novel ideas, work and results related to alternative techniques for speech processing, which depart from mainstream approaches. With this intention in mind, we provide an open forum for discussion. Alt- nate approaches are appreciated, although the results achieved at present may not clearly surpass results based on state-of-the-art methods. The call for papers was launched at the beginning of 2005, addressing the following domains: 1. Non-Linear Approximation and Estimation 2. Non-Linear Oscillators and Predictors 3. Higher-Order Statistics 4. Independent Component Analysis 5. Nearest Neighbors 6. Neural Networks 7. Decision Trees 8. Non-Parametric Models 9. Dynamics of Non-Linear Systems 10. Fractal Methods 11. Chaos Modeling 12. Non-Linear Di?erential Equations 13. Others All the main ?elds of speech processing are targeted by the workshop, namely: 1. Speech Coding:Thebit rateavailablefor speechsignalsmustbe strictly l- ited in order to accommodate the constraints of the channel resource.
Noninvasive Imaging of Myocardial Ischemia
Non-invasive imaging plays a very important role in the assessment of patients investigated for coronary artery disease, providing valuable information for diagnosis and aiding management decisions. It covers a broad spectrum of investigations including radionuclide imaging, echocardiography, magnetic resonance imaging and computed tomography. Progress towards the most efficacious means of assessing a patient is relentless, with recent years seeing an important shift in emphasis from invasive to noninvasive techniques. This informative book compares the various modalities in a practical diagnostic environment. It thus provides a forum for fertile discussion, bringing the discussion of these various methodologies together in one reference for the first time. The narrative flow is unique and will ensure that all levels of medical practitioners with an interest in cardiac imaging will find this an unparalleled resource for use in guiding their practice.
Non-Euclidean Geometries : János Bolyai Memorial Volume
Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics. This book is intended for those who teach, study, and do research in geometry and history of mathematics. Cultural historians, physicists, and computer scientists will also find it an important source of information.
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
Non-Equilibrium Phase Transitions ; Vol. I : Absorbing Phase Transitions
This book describes two main classes of non-equilibrium phase-transitions: (a) static and dynamics of transitions into an absorbing state, and (b) dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. The first volume begins with an introductory chapter which recalls the main concepts of phase-transitions, set for the convenience of the reader in an equilibrium context. The extension to non-equilibrium systems is made by using directed percolation as the main paradigm of absorbing phase transitions and in view of the richness of the known results an entire chapter is devoted to it, including a discussion of recent experimental results. Scaling theories and a large set of both numerical and analytical methods for the study of non-equilibrium phase transitions are thoroughly discussed.
Non-destructive testing and evaluation of civil engineering structures
The non-destructive evaluation of civil engineering structures in reinforced concrete is becoming an increasingly important issue in this field of engineering. This book proposes innovative ways to deal with this problem, through the characterization of concrete durability indicators by the use of non-destructive techniques. It presents the description of the various non-destructive techniques and their combination for the evaluation of indicators. The processing of data issued from the combination of NDE methods is also illustrated through examples of data fusion methods.
Non-Covalent Multi-Porphyrin Assemblies : Synthesis and Properties
This book presents an overview of the synthesis, structure, and properties of molecules obtained by connecting several porphyrins or metalloporphyrins through a variety of chemical linkages. This handsomely produced book gives the reader a broad introduction to this popular and important field. Much of the work encompassed in this area is inspired by the desire to obtain photochemically responsive molecules capable of mimicking various aspects of photosynthesis… As with many edited volumes of this type, there is a certain amount of duplicate coverage of some topics. Also the focus is largely on the methods used to generate the multiporphyrin arrays, and in some cases less attention is given to the properties, other than the structural properties of these arrays.
Noncommutative Geometry and Number Theory : Where Arithmetic meets Geometry and Physics
This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local Lfactors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
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.
Noetherian Semigroup Algebras
This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have been recently intensively studied. Several concrete constructions are described in full detail, in particular intriguing classes of quadratic algebras and algebras related to group rings of polycyclic-by-finite groups. These give new classes of Noetherian algebras of small Gelfand-Kirillov dimension. The focus is on the interplay between their combinatorics and the algebraic structure.
Nodal Discontinuous Galerkin Methods : Algorithms, Analysis, and Applications
This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early 1970s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the application of these methods to a broad range of problems. These methods are different in nature from standard methods such as finite element or finite difference methods, often presenting a challenge in the transition from theoretical developments to actual implementations and applications.
No Truth Without Beauty : God, the Qur’an, and Women's Rights
In this comprehensive book, written for readers from any or no religious background, Leena El-Ali does something remarkable. Never before has anyone taken on every last claim relating to Islam and women and countered it not just with Qur’anic evidence to the contrary, but with easy-to-use tools available to all.
No More Muddling Through : Mastering Complex Projects in Engineering and Management
Systems Engineering (SE) is a systematic way of thinking and a methodology to guide demanding problem-solving processes in the fields of management and engineering. This book explains the most important principles and elements of Systems Engineering and three planning cases demonstrate the practical application.
NMR in Biological Systems : From Molecules to Human
During teaching NMR to students and researchers, we felt the need for a text-book which can cover modern trends in the application of NMR to biological systems. This book caters to the needs of: (i) graduate students who mostly learn such techniques from senior post-docs in the laboratory; (ii) those who are not experts in NMR but wish to understand if a particular problem in animal, plant, medical and pharmaceutical sciences can be answered by NMR; and (iii) those who are experts in chemistry and biochemistry and wish to know how NMR can provide them information on structural or functional aspect of proteins, nucleic acids, cells and tissues, human and plant organs and other biological materials.
NMR - From Spectra to Structures : An Experimental Approach
Nuclear magnetic resonance spectroscopy is one of the most powerful analytical methods. This practice-oriented textbook aims at teaching how NMR experiments should be used to make structural asssignments. The book is intended as a practical guide for students and laboratory personnel, so that the emphasis is on practical rather than on theoretical aspects, which are treated only to the extent necessary to understand the experiments and to interpret the results.The second edition has been expanded to include several other heteronuclei (15N, 19F, 29Si, 77Se, 113Cd, 117Sn/119Sn, 195Pt, 207Pb) and a new chapter on solid state NMR. The problems section has been enlarged and now includes 50 problems.
Nitrogen-fixing Leguminous Symbioses
This book is the self-contained final volume of a comprehensive seven-volume series covering the basic and applied science relating to nitrogen fixation. It addresses the most important nitrogen-fixing symbiosis of all – that between legumes and their root-nodule bacteria – and therefore deals with the properties and behaviour of both macro- and micro-symbiont.
