الصفحة 74
الصفحة 74
An R and S-Plus® Companion to Multivariate Analysis
Most data sets collected by researchers are multivariate, and in the majority of cases the variables need to be examined simultaneously to get the most informative results. This requires the use of one or other of the many methods of multivariate analysis, and the use of a suitable software package such as S-PLUS or R. In this book the core multivariate methodology is covered along with some basic theory for each method described. The necessary R and S-PLUS code is given for each analysis in the book, with any differences between the two highlighted.
An Invitation to Statistics in Wasserstein Space
This book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation.
An Invitation to Quantum Cohomology : Kontsevich's Formula for Rational Plane Curves
This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. Kontsevich's formula is initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for Gromov–Witten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product.
An Introduction to the Mathematical Theory of Dynamic Materials
This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics.
An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg group, focusing primarily on the current state of knowledge regarding Pierre Pansu's celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile.
An Introduction to Soil Mechanics
Offers a superb introduction to theoretical and practical soil mechanics. Special attention is given to the risks of failure in civil engineering, and themes covered include stresses in soils, groundwater flow, consolidation, testing of soils, and stability of slopes. The basic principles of applied mechanics, that are frequently used, are offered in the appendices. The author’s considerable experience of teaching soil mechanics is evident in the many features of the book: it is packed with supportive color illustrations, helpful examples and references.
An Introduction to Sobolev Spaces and Interpolation Spaces
After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical concepts, playing an important role nowadays in contemporary theoretical physics. He presents various techniques and viewpoints, thereby showing the relations between the alternative approaches.
An introduction to relativistic processes and the standard model of electroweak interactions
The first part of the volume is devoted to the description of scattering processes in the context of relativistic quantum field theory. The use of the semi-classical approximation allows us to illustrate the relevant computation techniques in a reasonably small amount of space. Our approach to relativistic processes is original in many respects. The second part contains a detailed description of the construction of the standard model of electroweak interactions, with special attention to the mechanism of particle mass generation. The extension of the standard model to include neutrino masses is also described. We have included a number of detailed computations of cross sections and decay rates of pedagogical and phenomenological relevance.
An introduction to pharmacovigilance ; 2nd ed.
Designed to aid the rapid understanding of the key principles of pharmacovigilance. Packed full of examples illustrating drug safety issues it not only covers the processes involved, but the regulatory aspects and ethical and societal considerations of pharmacovigilance. Covering the basics step-by-step, this book is perfect for beginners and is essential reading for those new to drug safety departments and pharmaceutical medicine students. The second edition is thoroughly revised and updated throughout and includes a new chapter on clinical aspects of pharmacovigilance.
An Introduction to Optical Wireless Mobile Communications
Discusses existing conventional radio frequency (RF)-based wireless access technology and presents the challenges that can impact the requirements of the future wave of new wireless services in the context of artificial intelligence (AI) driven autonomous systems and machine-type communications. The relationship between visible light communications (VLC) and light fidelity (LiFi), is explored, and the major advantages of VLC and LiFi such as security and data density, and discuss existing research challenges are also introduced. Channel modeling techniques are provided for mobile multiuser scenarios, and will introduce key building blocks to achieve LiFi cellular networks achieving orders of magnitude improvements of area spectral efficiency compared to state-of-the-art. Challenges that arise from moving from a static point-to-point visible light link to a LiFi network that is capable of serving hundreds of mobile and fixed nodes are discussed. An overview of recent standardization activities and the commercialization challenges of this disruptive technology is also provided.
An Introduction to Operators on the Hardy-Hilbert Space
The subject of this book is operator theory on the Hardy space H2, also called the Hardy-Hilbert space. The goal is to provide an elementary and engaging introduction to this subject that will be readable by everyone who has understood introductory courses in complex analysis and in functional analysis.
An Introduction to Navier-Stokes Equation and Oceanography
The Introduction to Navier-Stokes Equation and Oceanography corresponds to a graduate course in mathematics, taught at Carnegie Mellon University in the spring of 1999. Comments were added to the lecture notes distributed to the students, as well as short biographical information for all scientists mentioned in the text, the purpose being to show that the creation of scientific knowledge is an international enterprise, and who contributed to it, from where, and when. The goal of the course is to teach a critical point of view concerning the partial differential equations of continuum mechanics, and to show the need for developing new adapted mathematical tools.
An Introduction to Manifolds
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology.
An introduction to law
this book addresses the ways in which rules and the structures of law respond to and impact upon changes in economic and political life. The title has been extensively updated and explores recent high profile developments such as the Civil Partnership Act 2005 and the Racial and Religious Hatred Bill.
An Introduction to Infinite-Dimensional Analysis
In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension.Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.
An Introduction to Echo Analysis : Scattering Theory and Wave Propagation
The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.
An Energy Analysis of Household Consumption : Changing Patterns of Direct and Indirect Use in India
The book presents a novel socio-economic approach to analysing the - ergy system and energy consumption in India from a household persp- tive. In doing so, it views households as the ultimate end-consumers and estimates and analyses the direct and indirect energy requirements of household consumption, both at an aggregate national level as well as at a disaggregate household level. In addition, the work incorporates two c- cial aspects often ignored by many energy studies that are characteristic of most developing countries, namely the importance of non-commercial sources of biomass energy in the energy systems of these countries, and the enormous diversity and inequity in the patterns of energy access and use across households with different lifestyles and levels of well being.
An assessment framework for compliance with international space law and norms : Promoting equitable access and Use of space for emerging actors
proposes a framework for assessing countries’ levels of compliance with international space law and norms. It begins by exploring the development of two movements – the evidence-based policymaking and programming movement, and the rise of ratings and rankings research – and their growth across various disciplines. The analysis suggests that such efforts are useful in gauging the behavior of countries in space according to how well they adhere to existing space law and norms. To date, there is no comprehensive, periodic, and systematic measure of countries’ efforts to comply with space law and norms; this work endeavors to fill that gap by offering a framework in which to assess compliance.
AmIware : Hardware Technology Drivers of Ambient Intelligence
Ambient Intelligence is one of the new paradigms in the development of information and communication technology, which has attracted much attention over the past years. The aim is the to integrate technology into people environment in such a way that it improves their daily lives in terms of well-being, creativity, and productivity. Ambient Intelligence is a multidisciplinary concept, which heavily builds on a number of fundamental breakthroughs that have been achieved in the development of new hardware concepts over the past years. New insights in nano and micro electronics, packaging and interconnection technology, large-area electronics, energy scavenging devices, wireless sensors, low power electronics and computing platforms enable the realization of the heaven of ambient intelligence by overcoming the hell of physics.
