From Euclidean to Hilbert Spaces

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics. Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fr?chet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces. The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.

Peter Merriman traces the social and cultural histories and geographies of driving spaces through an examination of the design, construction and use of England’s M1 motorway in the 1950s and 1960s. A first-of-its-kind academic study examining the production and consumption of the landscapes and spaces of a British motorway An interdisciplinary approach, engaging with theoretical and empirical work from sociology, history, cultural studies, anthropology and geography Contains 38 high quality illustrations Based on extensive, original archive work

Hilbert Transform Applications in Mechanical Vibration addresses recent advances in theory and applications of the Hilbert transform to vibration engineering, enabling laboratory dynamic tests to be performed more rapidly and accurately. The author integrates important pioneering developments in signal processing and mathematical models with typical properties of mechanical dynamic constructions such as resonance, nonlinear stiffness and damping. A comprehensive account of the main applications is provided, covering dynamic testing and the extraction of the modal parameters of nonlinear vibration systems, including the initial elastic and damping force characteristics. This unique merger of technical properties and digital signal processing allows the instant solution of a variety of engineering problems and the in-depth exploration of the physics of vibration by analysis, identification and simulation. This book will appeal to both professionals and students working in mechanical, aerospace, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechatronics. Hilbert Transform Applications in Mechanical Vibration employs modern applications of the Hilbert transform time domain methods including: The Hilbert Vibration Decomposition method for adaptive separation of a multi-component non-stationary vibration signal into simple quasi-harmonic components; this method is characterized by high frequency resolution, which provides a comprehensive account of the case of amplitude and frequency modulated vibration analysis. The FREEVIB and FORCEVIB main applications, covering dynamic testing and extraction of the modal parameters of nonlinear vibration systems including the initial elastic and damping force characteristics under free and forced vibration regimes. Identification methods contribute to efficient and accurate testing of vibration systems, avoiding effort-consuming measurement and analysis. Precise identification of nonlinear and asymmetric systems considering high frequency harmonics on the base of the congruent envelope and congruent frequency. Accompanied by a website at www.wiley.com/go/feldman, housing MATLAB®/ SIMULINK codes.

Presents up-to-date Banach space results. * Features an extensive bibliography for outside reading. * Provides detailed exercises that elucidate more introductory material.

Examines the residential, policed, and infrastructural landscapes of New and Old Delhi under British Rule. The first book of its kind to present a comparative history of New and Old Delhi Draws on the governmentality theories and methodologies presented in Michel Foucault’s lecture courses Looks at problems of social and racial segregation, the policing of the cities, and biopolitical needs in urban settings Undertakes a critique of colonial governmentality on the basis of the lived spaces of everyday life

Invention and patents continues to be an important issue in technology and our global economy. Invention and Patenting provides a clear picture of how to be a prolific inventor, to understand patents, and the patent process. It provides an illuminating insight into the writing of invention disclosures to patents from the submission process to final drafts. The book shows how to communicate effectively with patent lawyers and patent examiners, teaching the language of “legalese.” This book is unique in covering both the early invention process to final patent drafting to provide high quality patents in technologies. Key features include: How to become an inventor, how to invent, to what is invention; How to write an invention disclosure to writing a patent; Examples of utility, design, and plant patents; How to prepare the background section, brief listing of figures, detailed description of the invention, claims, abstract to artwork; Using patent search engines; Writing independent and dependent claims; Analyzing office actions of the US and European patent offices; How to write an office action response and amending claims; and, Examples of Office Action responses, preliminary amendments, to notice of allowance response; Invention and Patenting is the first book by an engineer and inventor from a technologist’s point of view. It is an essential reference for engineers and inventors. It is also useful for graduate and undergraduate students in technology and the sciences.

In this new book from the author of e-Learning on a Shoestring and Better than Bullet Points, Jane Bozarth has gathered a wealth of tools from leading training practitioners. Anyone—from the interested manager to the experienced training professional—can depend on this book when designing or delivering training. This single book contains all the valuable tools of the trade: worksheets for assessing training needs and writing goals and objectives; checklists for organizing the venue; and tools for analysis and structuring content. This remarkable resource also includes instant evaluation and measurement surveys, which can be customized freely from the companion website. In addition, Bozarth includes a wealth of invaluable advice for trainers at all levels on how to make effective use of props, staying energized, marketing training programs, and other things they don't tell you in train-the-trainer courses.

This book provides a modern and up-to-date treatment of the Hilbert transform of distributions and the space of periodic distributions. Taking a simple and effective approach to a complex subject, this volume is a first-rate textbook at the graduate level as well as an extremely useful reference for mathematicians, applied scientists, and engineers. The author, a leading authority in the field, shares with the reader many new results from his exhaustive research on the Hilbert transform of Schwartz distributions. He describes in detail how to use the Hilbert transform to solve theoretical and physical problems in a wide range of disciplines; these include aerofoil problems, dispersion relations, high-energy physics, potential theory problems, and others. Innovative at every step, J. N. Pandey provides a new definition for the Hilbert transform of periodic functions, which is especially useful for those working in the area of signal processing for computational purposes. This definition could also form the basis for a unified theory of the Hilbert transform of periodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform of periodic functions are worked out in detail for the first time in book form and can be used to solve Laplace's equation with periodic boundary conditions. Among the many theoretical results proved in this book is a Paley-Wiener type theorem giving the characterization of functions and generalized functions whose Fourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory and techniques, the book generalizes the Hilbert problem in higher dimensions and solves it in function spaces as well as in generalized function spaces. It simplifies the one-dimensional transform of distributions; provides solutions to the distributional Hilbert problems and singular integral equations; and covers the intrinsic definition of the testing function spaces and its topology. The book includes exercises and review material for all major topics, and incorporates classical and distributional problems into the main text. Thorough and accessible, it explores new ways to use this important integral transform, and reinforces its value in both mathematical research and applied science. The Hilbert transform made accessible with many new formulas and definitions Written by today's foremost expert on the Hilbert transform of generalized functions, this combined text and reference covers the Hilbert transform of distributions and the space of periodic distributions. The author provides a consistently accessible treatment of this advanced-level subject and teaches techniques that can be easily applied to theoretical and physical problems encountered by mathematicians, applied scientists, and graduate students in mathematics and engineering. Introducing many new inversion formulas that have been developed and applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem and singular integral equations * Focuses on the Hilbert transform of Schwartz distributions, giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many important theoretical results of importance to research mathematicians * Provides the characterization of functions and generalized functions whose Fourier transforms are supported in certain orthants of Rn * Offers a new definition of the Hilbert transform of the periodic function that can be used for computational purposes in signal processing * Develops the theory of the Hilbert transform of periodic distributions and the approximate Hilbert transform of periodic distributions * Provid

The digital camera conceals remarkable technological innovations that affect the formation of the image, the color representation or automated measurements and settings. ** From photon to pixel photon ** describes the device both from the point of view of the physics of the phenomena involved, as technical components and software it uses. Based on the perceptual properties of the visual system as well as on standard transmission and representation, analyzes the solutions to meet the demands of the photographer on the development, contrast, white balance or stabilization of image. The advanced architectures adopted in mobile phones and developments of computational photography are also presented, foreshadowing the features of the future device.

FROM GRANTMAKER TO LEADER The past one hundred years has borne witness to an extraordinary revolution in the constitution and activities of philanthropic foundations. The evolution of the governance of foundations-from founder to family to professionals to institutions-has necessarily altered the role that foundations play within a society. As community foundations, for example, strengthen the essential communal fabric and help all organizations gain a financial foothold, they find themselves at times in conflict with commercial gift funds, whose transactional nature between the donor and the organization stimulates philanthropy in a wholly different fashion. From Grantmaker to Leader: Emerging Strategies for 21st Century Foundations takes stock of this shifting landscape, presenting bold leadership strategies for directing philanthropic organizations into the unchartered waters of the future. Seasoned foundation executives Frank Ellsworth and Joseph Lumarda assemble an all-star roster of insider contributors, dividing their trenchant study into three sections. «From Carnegie to Gates: The Changing Faces and Needs of Philanthropy» examines the history of family and community foundations and how the turmoil of the «New Economy» will affect these organizations in the future. Section Two, «The Foundation's New Reach: The Emerging Role of Leader, Communicator, and Facilitator of Change» addresses the critical responsibility of effectively articulating a foundation's message, showing how messages can successfully penetrate the media. Finally, the third section «Building the Foundation Board of the 21st Century: Diversity and Strategic Planning» analyzes all aspects of foundation boards of directors, including their makeup, responsibilities, backgrounds, necessary diversity, and the role of boards in foundation planning. Throughout all three sections, From Grantmaker to Leader tackles all the critical issues facing philanthropic foundations today, such as: * Transfer of wealth * Legislative concerns * IRS audits * The role of foundations in public policy issues, such as campaign spending * Accountability * Planned giving * Assessment of the effectiveness of giving * Socially responsible investment and social return on investment Even as the very nature of foundations has changed, a fundamental question remains: will philanthropies play a more pervasive role in society's future or will their influence forever remain elitist and selective? Writing directly for trustees, practitioners, foundation CEOs and CFOs, and every philanthropic professional, Ellsworth and Lumarda make the convincing case that foundations matter more than ever, offering proven strategies for philanthropic success. FRANK L. ELLSWORTH is a vice president at Capital Research and Management Company, where he oversees and coordinates programs and services to endowments in Los Angeles. JOSEPH LUMARDA is the Executive Vice President of External Affairs for the California Community Foundation in Los Angeles.