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Linear Algebraic Monoids
The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.
Lifetime Spectroscopy : A Method of Defect Characterization in Silicon for Photovoltaic Applications
Lifetime spectroscopy is one of the most sensitive diagnostic tools for the identification and analysis of impurities in semiconductors. Since it is based on the recombination process, it provides insight into precisely those defects that are relevant to semiconductor devices such as solar cells. This book introduces a transparent modeling procedure that allows a detailed theoretical evaluation of the spectroscopic potential of the different lifetime spectroscopic techniques. The various theoretical predictions are verified experimentally with the context of a comprehensive study on different metal impurities. The quality and consistency of the spectroscopic results, as explained here, confirms the excellent performance of lifetime spectroscopy.
Lie Algebras and Algebraic Groups
The theory of Lie algebras and algebraic groups has been an area of active research in the last 50 years. It intervenes in many different areas of mathematics : for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory so as to present the foundation of the theory in characteristic zero. Detailed proofs are included and some recent results are discussed in the last chapters. All the prerequisites on commutative algebra and algebraic geometry are included.
Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
The present volume is an introduction, largely from the physicists' perspective, to the subject matter with in-depth contributions by system neuroscientists. A conceptual model for complex networks of neurons is introduced that incorporates many important features of the real brain, such as various types of neurons, various brain areas, inhibitory and excitatory coupling and the plasticity of the network. The computational implementation on supercomputers, which is introduced and discussed in detail in this book, will enable the readers to modify and adapt the algortihm for their own research.
Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
The present volume is an introduction, largely from the physicists' perspective, to the subject matter with in-depth contributions by system neuroscientists. A conceptual model for complex networks of neurons is introduced that incorporates many important features of the real brain, such as various types of neurons, various brain areas, inhibitory and excitatory coupling and the plasticity of the network. The computational implementation on supercomputers, which is introduced and discussed in detail in this book, will enable the readers to modify and adapt the algortihm for their own research.
Le raisonnement bayésien : Modélisation et inférence = Bayesian reasoning : Modeling and inference
Describes in detail the practice of the Bayesian statistical approach using many examples chosen for their educational interest. The first part gives the general principles of statistical modeling making it possible to supervise but also to come to the aid of the imagination of the apprentice modeler. By examining examples of increasing difficulty, the reader forges the keys to building their own model. The second part presents the most useful calculation algorithms for estimating the unknowns of the model. Each inference method is presented and illustrated by numerous application cases.
Le choix bayésien: Principes et pratique
Covers the so-called Bayesian approach to statistical inference and in particular its decision-making aspects. The bases of this axiomatics (choice of the a priori, optimal decisions, tests and regions of confidence) are discussed in detail, as well as more recent openings of Bayesian analysis such as the choice of models, the use of numerical methods. Stochastic approximation (MCMC), the theory of noninformative laws (Berger-Bernardo axioms) and the relation to the classical theory of admissibility. Each chapter is completed by an extensive series of exercises of increasing difficulty and by bibliographical notes on the themes addressed. This book can be used in a Master's program in Applied Mathematics, Biometrics, Econometrics or any other program that uses quantitative information processing techniques. It only requires a basic course in probability theory and mathematical statistics as a preliminary.
Layered Double Hydroxides
Both experimental and theoretical studies of nearly every aspect of the LDH structure are discussed, including the range of metal cations and interlayer anions, M 3+ /M 2+ ratios, LDH polytypes, arrangement of the "interlayer" anions and water molecules, molecular modeling and molecular dynamics simulations, and the long- and short-range order in both the layers and interlayer galleries. Of especial value is the treatment of the more detailed aspects of the LDH structure that are still unresolved.
Lattice Boltzmann Modeling : An Introduction for Geoscientists and Engineers
Lattice Boltzmann models have a remarkable ability to simulate single- and multi-phase fluids and transport processes within them. A rich variety of behaviors, including higher Reynolds numbers flows, phase separation, evaporation, condensation, cavitation, buoyancy, and interactions with surfaces can readily be simulated. This book provides a basic introduction that emphasizes intuition and simplistic conceptualization of processes. It avoids the more difficult mathematics that underlies LB models. The model is viewed from a particle perspective where collisions, streaming, and particle-particle/particle-surface interactions constitute the entire conceptual framework. Beginners and those with more interest in model application than detailed mathematical foundations will find this a powerful "quick start" guide. Example simulations, exercises, and computer codes are included. Working code is provided on the Internet.
Lattice : Multivariate Data Visualization with R
R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S. Cleveland and colleagues at Bell Labs) to R, considerably expanding its capabilities in the process. Lattice is a powerful and elegant high level data visualization system that is sufficient for most everyday graphics needs, yet flexible enough to be easily extended to handle demands of cutting edge research. Written by the author of the lattice system, this book describes it in considerable depth, beginning with the essentials and systematically delving into specific low levels details as necessary. No prior experience with lattice is required to read the book, although basic familiarity with R is assumed.
Laser-Tissue Interactions : Fundamentals and Applications
This essential work provides a thorough description of the fundamentals and applications in the field of laser-tissue interactions. Concepts such as the optical and thermal properties of tissue, and optical breakdown and its related effects, are treated in detail.
Lasers and Nuclei : Applications of Ultrahigh Intensity Lasers in Nuclear Science
Lasers and Nuclei describes the generation of high-energy-particle radiation with high-intensity lasers and its application to nuclear science. A basic introduction to laser--matter interaction at high fields is complemented by detailed presentations of state of the art laser particle acceleration and elementary laser nuclear experiments. The text also discusses future applications of lasers in nuclear science, for example in nuclear astrophysics, isotope generation, nuclear fuel physics and proton and neutron imaging.
Laser Resonators and Beam Propagation : Fundamentals, Advanced Concepts, Applications
Optical Resonators provides a detailed discussion of the properties of optical resonators for lasers from basic theory to recent research. In addition to describing the fundamental theories of resonators such as geometrical optics, diffraction, and polarisation the characteristics of all important resonator schemes and their calculation are presented. Experimental examples, practical problems and a collection of measurement techniques support the comprehensive treatment of the subject. Optical Resonators is the only book currently available that provides a comprehensive overview of the the subject. Combined with the structure of the text and the autonomous nature of the chapters this work will be as suitable for those new to the field as it will be invaluable to specialists conducting research. This second edition has been enlarged by new sections on Q-switching and resonators with internal phase/amplitude control. In addition, the whole book has been brought up-to-date.
Language Production
This comprehensive text presents an up-to-date overview of the key topics in the field, providing important theoretical and empirical challenges to the traditional and accepted modal view of language production. Each chapter explores in detail a different aspect of language production, covering traditional methods including written and signed production alongside emerging research on joint action production. Emphasizing the neurobiological underpinnings of language, chapter authors showcase research that moves from a monologue-only approach to one that that considers production in more ecologically valid circumstances.
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
L’osservazione delle stelle variabili = The observation of variable stars
The observation of variable stars is one of the main contributions that amateur astronomers can offer to science and this book provides all the information necessary to pursue it profitably. In the first part the different classes of variables are presented in detail, with examples, light curves and physical descriptions. The second section, on the other hand, covers all the practical aspects of observation: from preparation and planning, to observation techniques, up to the management and processing of data.
L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld = The isomorphism between the Lubin-Tate and Drinfeld towers
This book contains a detailed and complete demonstration of the existence of an equivariate isomorphism between the Lubin-Tate and Drinfeld p-adic turns. The result is established in equal and unequal characteristics. There is also given as an application a proof that the equivariant cohomologies of these two turns are isomorphic, a result which has applications to the study of the local Langlands correspondence. During the proof, reminders and complements are given on the structure of the two preceding moduli spaces, the p-divisible formal groups and the p-adic rigid analytical geometry.
Knowledge acquisition in practice: A step-by-step guide
Recent years have seen an upsurge of interest in knowledge. Leading organisations now recognise the importance of identifying what they know, sharing what they know and using what they know for maximum benefit. Many organisations employ knowledge engineers to capture knowledge from experts using the principles and techniques of knowledge engineering. The emphasis is on a structured approach built on a sound understanding of the psychology of expertise and making use of knowledge modelling methods and the latest web technologies. Knowledge Acquisition in Practice is the first book to provide a detailed step-by-step guide to the methods and practical aspects of acquiring, modelling, storing and sharing knowledge. The reader is led through 47 steps from the inception of a project to its successful conclusion. Each step is described in terms of the reasons for the step, the required resources, the activities to be undertaken, and the solutions to common problems.
Kinetics of Catalytic Reactions--Solutions Manual
This textbook contains all the information needed for graduate students or industrial researchers to design kinetic experiments involving heterogeneous catalysts, to characterize these catalysts, to acquire valid rate data, to verify the absence of mass (and heat) transfer limitations, to propose reaction models, to derive rate expressions based on these models and, finally, to assess the consistency of these rate equations.The most recent technique to calculate heats of adsorption and activation barriers on metal surfaces, the BOC-MP approach, is discussed in detail. Methods to measure metal surface areas and crystallite sizes using x-ray diffraction, transmission electron microscopy and various chemisorption techniques are discussed. Different experimental techniques to determine the influence of mass transfer limitations, especially within the pores of a catalyst, are reviewed in detail, with a particular emphasis on liquid-phase reactions.
Complexity Management in Fuzzy Systems : A Rule Base Compression Approach
This book presents a systematic study on the inherent complexity in fuzzy systems, resulting from the large number and the poor transparency of the fuzzy rules. The study uses a novel approach for complexity management, aimed at compressing the fuzzy rule base by removing the redundancy while preserving the solution. The compression is based on formal methods for presentation, manipulation, transformation and simplification of fuzzy rule bases, which are illustrated by algorithms as well as results from numerous examples and two case studies. The results are directly applicable or easily extendable to a wide class of fuzzy systems and detailed benchmarks for expanding these systems to new areas such as fuzzy networks and fuzzy multi-agent systems are introduced. The intended readers are people from both academia and industry, who would be interested in building and implementing advanced fuzzy systems.
