The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length.
Originally published in 1990.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Описание: This book presents the signal processing algorithms that have been developed to process the signals acquired by a spherical microphone array. Spherical microphone arrays can be used to capture the sound field in three dimensions and have received significant interest from researchers and audio engineers. Algorithms for spherical array processing are different to corresponding algorithms already known in the literature of linear and planar arrays because the spherical geometry can be exploited to great beneficial effect. The authors aim to advance the field of spherical array processing by helping those new to the field to study it efficiently and from a single source, as well as by offering a way for more experienced researchers and engineers to consolidate their understanding, adding either or both of breadth and depth. The level of the presentation corresponds to graduate studies at MSc and PhD level.This book begins with a presentation of some of the essential mathematical and physical theory relevant to spherical microphone arrays, and of an acoustic impulse response simulation method, which can be used to comprehensively evaluate spherical array processing algorithms in reverberant environments.The chapter on acoustic parameter estimation describes the way in which useful descriptions of acoustic scenes can be parameterized, and the signal processing algorithms that can be used to estimate the parameter values using spherical microphone arrays. Subsequent chapters exploit these parameters including in particular measures of direction-of-arrival and of diffuseness of a sound field. The array processing algorithms are then classified into two main classes, each described in a separate chapter. These are signal-dependent and signal-independent beamforming algorithms. Although signal-dependent beamforming algorithms are in theory able to provide better performance compared to the signal-independent algorithms, they are currently rarely used in practice. The main reason for this is that the statistical information required by these algorithms is difficult to estimate. In a subsequent chapter it is shown how the estimated acoustic parameters can be used in the design of signal-dependent beamforming algorithms. This final step closes, at least in part, the gap between theory and practice.
Описание: Collects and presents all of the important details of the key protocols for the convenience of engineers and scientists in the materials manufacturing industry, OEMs, research laboratories, and academic institutions. This title demystifies the use of nanoindentation as a material characterization tool that provides robust quantitative assessment.
Описание: Offers tools to solve the problem of modeling the interactions between radiation and light scatterers. This title reviews contemporary scattering methods and introduce efficient versions of the fast exact methods as well as of some approximate ones. It summarizes theoretical studies of the applicability ranges of the methods.
Описание: A spherical actuator is a novel electric device that can achieve 2/3-DOF rotational motions in a single joint with electric power input. It has advantages such as compact structure, low mass/moment of inertia, fast response and non-singularities within the workspace. It has promising applications in robotics, automobile, manufacturing, medicine and aerospace industry. This is the first monograph that introduces the research on spherical actuators systematically. It broadens the scope of actuators from conventional single-axis to multi-axis, which will help both beginners and researchers to enhance their knowledge on electromagnetic actuators. Generic analytic modeling methods for magnetic field and torque output are developed, which can be applied to the development of other electromagnetic actuators. A parametric design methodology that allows fast analysis and design of spherical actuators for various applications is proposed. A novel non-contact high-precision 3-DOF spherical motion sensing methodology is developed and evaluated with experiments, which shows that it can achieve one order of magnitude higher precision than conventional methods. The technologies of nondimensionalization and normalization are introduced into magnetic field analysis the first time, and a benchmark database is established for the reference of other researches on spherical actuators.
Автор: Francisco Chinesta Название: Rheology of Non-spherical Particle Suspensions ISBN: 1785480367 ISBN-13(EAN): 9781785480362 Издательство: Elsevier Science Рейтинг: Цена: 9088 р. 10098.00-10% Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a review of the current understanding of the behavior of non-spherical particle suspensions providing experimental results, rheological models and numerical modeling. In recent years, new models have been developed for suspension rheology and as a result applications for nanocomposites have increased. The authors tackle issues within experimental, model and numerical simulations of the behavior of particle suspensions. Applications of non-spherical particle suspension rheology are widespread and can be found in organic matrix composites, nanocomposites, biocomposites, fiber-filled fresh concrete flow, blood and biologic fluids.
Описание: The Augmented Spherical Wave (ASW) method is one of the most powerful approaches for handling the requirements of finite basis sets in DFT calculations. While it is particularly suited for the calculation of the electronic, magnetic, and optical properties of solid-state materials, recent developments allow application, in addition, to the elastic properties and phonon spectra. The book addresses all those who want to learn about methods for electronic structure calculations and the ASW method, in particular.
Описание: In recent years, the Geomathematics Group, TU Kaiserslautern, has worked to set up a theory of spherical functions of mathematical physics. This book is a collection of all the material that group generated during the process.
Описание: Ernest William Hobson (1856–1933) was a prominent English mathematician who held the position of Sadleirian Professor at the University of Cambridge from 1910 to 1931. In this volume, which was originally published in 1931, Hobson focuses on the forms and analytical properties of the functions which arise in connection with those solutions of Laplace's equation which are adapted to the case of particular boundary problems. The investigations take into account functions not, as was the case when they were originally introduced, confined to the cases where degree and order are integral. This is a highly informative book that will be of value to anyone with an interest in spherical and ellipsoidal harmonics.
Описание: This book exemplifies how the choice of filler influences the micro- and macroscopic behavior of the resulting polymer composites. As a result, it guides readers in selecting a particular set of processing conditions or composite constituents so as to enhance certain properties.
Автор: Willi Freeden; Michael Schreiner Название: Spherical Functions of Mathematical Geosciences ISBN: 3540851119 ISBN-13(EAN): 9783540851110 Издательство: Springer Рейтинг: Цена: 24466 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Collects the material developed by the Geomathematics Group, TU Kaiserslautern, to set up a theory of spherical functions of mathematical (geo-)physics. This work provides the palette of spherical (trial) functions for modeling and simulating phenomena and processes of the Earth system.
Автор: Gortych Joseph E Название: Consider A Spherical Patent ISBN: 1439888051 ISBN-13(EAN): 9781439888056 Издательство: Taylor&Francis Рейтинг: Цена: 4910 р. Наличие на складе: Поставка под заказ.
Get Critical Insight into the Modern Patenting Scene
We are now living in the "IP Era of the Information Age" where technology businesses are placing increasing emphasis on intellectual property (IP) as a way to add to their bottom lines. As a consequence, those working in a technology business or organization will inevitably be thrust into working with IP in one or more of its various forms. This increasing emphasis on IP matters requires technology workers to have at least a basic practical understanding of IP, particularly patents, so that they can effectively participate in their organizations' IP and patenting efforts.
Consider a Spherical Patent: IP and Patenting in Technology Business provides an unconventional and unvarnished examination of patents and the reality of how they are used and abused in technology business. The book starts with an overview of patents and how the patenting universe has become so complex, and warns of the danger of making "spherical," simplifying assumptions about patents and patent-related matters. It then takes a look at the cast of characters in the modern patenting world and the roles they play at the "IP Bazaar." The book goes on to explain the increasing emphasis in today's modern IP world of leveraging patents in large collections of patents called "portfolios." The author describes how the fractal nature of innovation allows for the exponential growth of patents to densely pack an "IP space," including how this packing can exceed its normal limits and the adverse consequences. He also explores the evolution and importance of core to improvement to commercialization patents. A modern view of patents based on "quantum patent mechanics" explains some of the mysterious patent-related phenomena that are otherwise inexplicable using "classical patent mechanics."
Using examples of actual patents and patent portfolios of real technology businesses, the author discusses how patenting strategies are defined based on "central organizing principles" behind why patents are being pursued. He describes the operational realities of running an internal patenting system as well as how to avoid the prevalent trap of accepting a high degree of disorder (entropy) in the business's patenting system. He also takes a close look at other problematic areas, such as the use and abuse of provisional patent applications and how "no shame claims" can be issued by the patent office and the havoc they can create.
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