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Entropy Methods for the Boltzmann Equation : Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001
Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Entropy and Energy : A Universal Competition
Entropy and Energy- a Universal Competition" is a students textbook as well as a scientific monograph. The concepts of entropy and energy embody the effects of random walk in a body and of deterministic strife respectively, and are therefore often in competition. The book gives instructive examples from elementary thermodynamics and physico-chemistry and extrapolates the notion to non-standard thermodynamic subjects like shape memory, dissipation of the earth's atmosphere, and sociology
Entrepreneurship and innovation : Theory, practice and context, 4th
Provides an overview of the theory, Practice and context of entrepreneurship and innovation at both the industry and firm level. It provides a foundation of ideas and understandings designed to shape the reader’s thinking and behaviour to better appreciate the role of innovation and entrepreneurship in modern economies, And to recognise their own abilities in this regard. The book provides the reader with an overview of these elements and how they combine to create new value in the market.
Energy methods in structural mechanics : A comprehencive introduction to matrix and finite element methods of analysis
Provides a basic and clear introduction to the principles underlying finite elements and the computer based methods of the analysis of structures commonly used in industry. There can be a danger that, without such an understanding, engineers will use these computer based analysis tools as black boxes and accept results without being aware of the real significance of the information obtained.
Encyclopedia of medicinal plants
This compilation reports different therapeutic plant species, most ordinarily utilized by native persons throughout the planet. The botanical term, family name, dialect name, partly utilized, and the use of the plants have been mentioned in this work. This encyclopedia presents a rundown of restorative plants generally used for relieving disorders, their bioactive elements, and their means of operation.
Enabling Semantic Web Services : The Web Service Modeling Ontology
Service-oriented computing has become one of the predominant factors in current IT research and development. Web services seem to be the middleware solution of the future for highly interoperable distributed software solutions. In parallel, research on the Semantic Web provides the results required to exploit distributed machine-processable data. To combine these two research lines into industrial-strength applications, a number of research projects have been set up by organizations like W3C and the EU. After a brief presentation of the underlying basic technologies and standards of the World Wide Web, the Semantic Web, and Web Services, they detail all the elements of WSMO from basic concepts to possible applications in e-commerce, e-government and e-banking, and they also describe its relation to other approaches like OWL-S or WSDL-S.
Empathy in Patient Care : Antecedents, Development, Measurement, and Outcomes
Empathy has long been recognized as a key element of the healing professions. Yet it is not always clear how to define the concept, how to measure it, whether there are effective methods to enhance empathy , or whether empathy really helps make treatment more effective. Drawing on evolutionary research, neurological findings, developmental and psychodynamic perspectives, and systems theory, Empathy in Patient Care explains why this human quality is essential to positive health outcomes—and how it can be measured and how professionals can benefit from its enhancement.
Emerging Threats to Energy Security and Stability; Proceedings of the NATO Advanced Research Workshop on Emerging Threats to Energy Security and Stability, London, United Kingdom, from 23 to 25 January 2004
In particular, it sought to assess emerging threats to energy security and stability and discuss new security strategies to protect global energy supplies from regional instability and terrorism. The format involved a wide-ranging international group of poli- formers and advisers from NATO, Partner and other countries, in a unique forum for intensive expert discussion. Background The international community is increasingly conscious of the need to develop new energy security strategies in order to protect global energy supplies from regional instability and terrorism. Energy security is a vital element in international stability. However, a variety of energy-related economic, technical, and military/political factors pose serious challenges to the international community’s pursuit of energy security and stability: The global economy is expected to continue to be largely dependent on oil and gas for the next twenty to thirty years.
Embedded System Design : Topics, Techniques and Trends; IFIP TC10 Working Conference: International Embedded Systems Symposium (IESS), May 30 - June 1, 2007, Irvine (CA), USA
Embedded systems have gained an enormous amount of processing power and functionality. Many of the formerly external components can now be integrated into a single System-on-Chip. This tendency has resulted in a dramatic reduction in the size and cost of embedded systems. As a unique technology, the design of embedded systems is an essential element of many innovations. This book including design methodology, specification and modeling, embedded software and hardware synthesis, networks-on-chip, distributed and networked systems, and system verification and validation. Particular emphaisis is paid to automotive and medical applications. A set of actual case studies and special aspects in embedded system design are included as well.
Elements of spatial structures : Analysis and design
Highlights all aspects of the analysis and design of elements related to spatial structures, which have been carefully selected from existing structures. Analysing the design of elements of any full scale structure that contains facilities that have already been constructed makes good economic sense and avoids duplication in respect of research and development, the decision-making process and accurate design criteria for new constructed facilities.
Elements of Robotics
Bridges the gap between playing with robots in school and studying robotics at the upper undergraduate and graduate levels to prepare for careers in industry and research. Robotic algorithms are presented formally, but using only mathematics known by high-school and first-year college students, such as calculus, matrices and probability. Concepts and algorithms are explained through detailed diagrams and calculations.
Elements of Quantum Optics
Elements of Quantum Optics gives a self-contained and broad coverage of the basic elements necessary to understand and carry out research in laser physics and quantum optics, including a review of basic quantum mechanics and pedagogical introductions to system-reservoir interactions and to second quantization.
Elements of Numerical Relativity : From Einstein`s Equations to Black Hole Simulations
Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Elements of Multinational Strategy
Integrates the academic study of international trade and foreign direct investment with the actual strategic and operational decisions of exporters and multinational enterprises.
Elements of Mathematics for Economics and Finance
Based on over 15 years’ experience in the design and delivery of successful first-year courses, this book equips undergraduates with the mathematical skills required for degree courses in economics, finance, management and business studies. The book starts with a summary of basic skills and takes its readers as far as constrained optimisation helping them to become confident and competent in the use of mathematical tools and techniques that can be applied to a range of problems in economics and finance
Elements of Mathematics : Lie Groups and Lie Algebras
Provide a formal, systematic presentation of mathematics from their beginning. This volume concludes the book on Lie Groups and Lie Algebras by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. It contains the following chapters: 7. Cartan Subalgebras and Regular Elements / 8. Split Semi-Simple Lie Algebras / 9. Compact Real Lie Groups
Elements of information theory
All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points.
Elements for Physics : Quantities, Qualities, and Intrinsic Theories
While usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing the notion of physical quality. The usual physical quantities simply appear as coordinates over the manifolds representing the physical qualities. This allows to develop physical theories that have a degree of invariance much deeper than the usual one. It is shown that properly developed physical theories contain logarithms and exponentials of tensors: their conspicuous absence in usual theories suggests, in fact, that the fundamental invariance principle stated in this book is lacking in present-day mathematical physics. The book reviews and extends the theory if Lie groups, develops differential geometry, proposing compact definitions of torsion and of curvature, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. As an illustration, two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media. The equations found differ quantitatively and qualitatively from those usually presented.
Eléments dhistoire des mathématiques = Elements of the history of mathematics
Brings together the historical notes published in the various books of mathematics elements by the author. They therefore concern all the matters covered in this treaty: set theory, algebra, topology, functions of a variable real, topological vector spaces, integration, commutative algebra, groups and Lie algebras. Composed of initially separate studies, this work does not claim to sketch a followed and complete history of development of mathematics. The interweaving of the different themes and the unity of the point of view ensure the deep consistency.
Eléments de Mathématique. Intégration : Chapitre 9 Intégration sur les espaces topologiques séparés
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This ninth chapter of the Book of Integration, sixth Book of the elements of mathematics, is devoted to the integration in separate topological spaces not necessarily locally compact, which allows to extend the theory of the Fourier transformation to locally convex vector spaces .
