Author: Publisher:
ISBN:
Category : Industrial television
Languages : en
Pages : 382
Book Description
E-ITV.
Author: Publisher:
ISBN:
Category : Industrial television
Languages : en
Pages : 382
Book Description
Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality
Author: Hafedh HerichiPublisher: World Scientific
ISBN: 9813230819
Category : Mathematics
Languages : en
Pages : 494
Book Description
Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis.One of the main themes of the book is to provide a rigorous framework within which the corresponding question 'Can one hear the shape of a fractal string?' or, equivalently, 'Can one obtain information about the geometry of a fractal string, given its spectrum?' can be further reformulated in terms of the invertibility or the quasi-invertibility of the spectral operator.The infinitesimal shift of the real line is first precisely defined as a differentiation operator on a family of suitably weighted Hilbert spaces of functions on the real line and indexed by a dimensional parameter c. Then, the spectral operator is defined via the functional calculus as a function of the infinitesimal shift. In this manner, it is viewed as a natural 'quantum' analog of the Riemann zeta function. More precisely, within this framework, the spectral operator is defined as the composite map of the Riemann zeta function with the infinitesimal shift, viewed as an unbounded normal operator acting on the above Hilbert space.It is shown that the quasi-invertibility of the spectral operator is intimately connected to the existence of critical zeros of the Riemann zeta function, leading to a new spectral and operator-theoretic reformulation of the Riemann hypothesis. Accordingly, the spectral operator is quasi-invertible for all values of the dimensional parameter c in the critical interval (0,1) (other than in the midfractal case when c =1/2) if and only if the Riemann hypothesis (RH) is true. A related, but seemingly quite different, reformulation of RH, due to the second author and referred to as an 'asymmetric criterion for RH', is also discussed in some detail: namely, the spectral operator is invertible for all values of c in the left-critical interval (0,1/2) if and only if RH is true.These spectral reformulations of RH also led to the discovery of several 'mathematical phase transitions' in this context, for the shape of the spectrum, the invertibility, the boundedness or the unboundedness of the spectral operator, and occurring either in the midfractal case or in the most fractal case when the underlying fractal dimension is equal to ½ or 1, respectively. In particular, the midfractal dimension c=1/2 is playing the role of a critical parameter in quantum statistical physics and the theory of phase transitions and critical phenomena.Furthermore, the authors provide a 'quantum analog' of Voronin's classical theorem about the universality of the Riemann zeta function. Moreover, they obtain and study quantized counterparts of the Dirichlet series and of the Euler product for the Riemann zeta function, which are shown to converge (in a suitable sense) even inside the critical strip.For pedagogical reasons, most of the book is devoted to the study of the quantized Riemann zeta function. However, the results obtained in this monograph are expected to lead to a quantization of most classic arithmetic zeta functions, hence, further 'naturally quantizing' various aspects of analytic number theory and arithmetic geometry.The book should be accessible to experts and non-experts alike, including mathematics and physics graduate students and postdoctoral researchers, interested in fractal geometry, number theory, operator theory and functional analysis, differential equations, complex analysis, spectral theory, as well as mathematical and theoretical physics. Whenever necessary, suitable background about the different subjects involved is provided and the new work is placed in its proper historical context. Several appendices supplementing the main text are also included.
Service-Oriented Computing
Author: Chengfei LiuPublisher: Springer
ISBN: 364234321X
Category : Computers
Languages : en
Pages : 795
Book Description
This book constitutes the conference proceedings of the 10th International Conference on Service-Oriented Computing, ICSOC 2012, held in Shanghai, China in November 2012. The 32 full papers and 21 short papers presented were carefully reviewed and selected from 185 submissions. The papers are organized in topical sections on service engineering, service management, cloud, service QoS, service security, privacy and personalization, service applications in business and society, service composition and choreography, service scaling and cloud, process management, service description and discovery, service security, privacy and personalization, applications, as well as cloud computing.
e-Business - A Jargon-Free Practical Guide
Author: James MatthewsonPublisher: Routledge
ISBN: 1136409483
Category : Business & Economics
Languages : en
Pages : 206
Book Description
'e-Business: a jargon-free practical guide' presents a clear, second-generation account of how your business can harness the latest technology to flourish in the transformed commercial climate of the 21st century. With its emphasis firmly on the business and marketing implications of new technology, this book adopts a hands-on, practical approach, systematically demonstrating how and why businesses should adapt their operations to make the very most of the exciting opportunities available. In simple, jargon-free language, it addresses such vital questions as: * What is e-business and how does it fit into the corporate landscape? * How should marketers adopt e-marketing and why? * What are the processes and stages of developing an e-business strategy? * What are the key issues you will face and how will you overcome them? * What about legislation? * Who is doing e-marketing and e-business well and badly? 'e-Business' is packed with case-studies from well-known international companies, examples, screen grabs, relevant models and checklists. Each chapter meanwhile contains handy hints and tips, examples, exercises and a summary to consolidate learning and highlight key points. Informative, pertinent and easy-to-use, the book is ideal for students on relevant courses or those undertaking in-house training, and is absolutely essential for any practitioner needing a hands-on guide to strategy and best practice in today's altered commercial environment.
List of Officers of the Department of State, Including the List of Ministers, Consuls, and Other Diplomatic and Commercial Agents of the United States in Foreign Countries
Author: United States. Department of StatePublisher:
ISBN:
Category : Diplomatic and consular service, American
Languages : en
Pages : 412
Book Description
List for March 7, 1844, is the list for September 10, 1842, amended in manuscript.
Encyclopedia of E-Health and Telemedicine
Author: Cruz-Cunha, Maria ManuelaPublisher: IGI Global
ISBN: 1466699795
Category : Medical
Languages : en
Pages : 1145
Book Description
Patients and medical professionals alike are slowly growing into the digital advances that are revolutionizing the ways that medical records are maintained in addition to the delivery of healthcare services. As technology continues to advance, so do the applications of technological innovation within the healthcare sector. The Encyclopedia of E-Health and Telemedicine is an authoritative reference source featuring emerging technological developments and solutions within the field of medicine. Emphasizing critical research-based articles on digital trends, including big data, mobile applications, electronic records management, and data privacy, and how these trends are being applied within the healthcare sector, this encyclopedia is a critical addition to academic and medical libraries and meets the research needs of healthcare professionals, researchers, and medical students.
TV Content Analysis
Author: Yiannis KompatsiarisPublisher: CRC Press
ISBN: 1439855625
Category : Computers
Languages : en
Pages : 674
Book Description
The rapid advancement of digital multimedia technologies has not only revolutionized the production and distribution of audiovisual content, but also created the need to efficiently analyze TV programs to enable applications for content managers and consumers. Leaving no stone unturned, TV Content Analysis: Techniques and Applications provides a de
Spectral and Scattering Theory for Second Order Partial Differential Operators
Author: Kiyoshi MochizukiPublisher: CRC Press
ISBN: 1498756034
Category : Mathematics
Languages : en
Pages : 232
Book Description
The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of spectral and scattering theory: the selfadjointness, essential spectrum, absolute continuity of the continuous spectrum, spectral representations, short-range and long-range scattering are summarized. In the second half, recent results: scattering of Schrodinger operators on a star graph, uniform resolvent estimates, smoothing properties and Strichartz estimates, and some applications are discussed.
Types for Proofs and Programs
Author: Herman GeuversPublisher: Springer
ISBN: 3540391851
Category : Computers
Languages : en
Pages : 336
Book Description
These proceedings contain a refereed selection of papers presented at the Second Annual Workshop of the Types Working Group (Computer-Assisted Reasoning based on Type Theory, EUIST project 29001), which was held April 24–28, 2002 in Hotel Erica, Berg en Dal (close to Nijmegen), The Netherlands. The workshop was attended by about 90 researchers. On April 27, there was a special afternoon celebrating the 60th birthday of Per Martin-L ̈of, one of the founding fathers of the Types community. The afternoon consisted of the following three invited talks: “Constructive Validity Revisited” by Dana Scott, “From the Rules of Logic to the Logic of Rules” by Jean-Yves Girard, and “The Varieties of Type Theories” by Peter Aczel. The contents of these contributions were not laid down in these proceedings, but the videos of the talks and the slides used by the speakers are available at http://www. cs. kun. nl/fnds/MartinLoefDay/LoefTalks. htm The previous workshop of the Types Working Group under EUIST project 29001 was held in 2000 in Durham, UK. The workshops Types 2000 and Types 2002 followed a series of meetings organized in the period 1993 – 1999 whithin previous Types projects (ESPRIT BRA 6435 and ESPRIT Working Group 21900). The proceedings of these earlier Types workshops were also published in the LNCS series, as volumes 806, 996, 1158, 1512, 1657, 1956 and 2277. ESPRIT BRA 6453 was a continuation of ESPRIT Action 3245, Logical Frameworks: - sign, Implementation and Experiments.
Numerical Methods for PDEs
Author: Daniele Antonio Di PietroPublisher: Springer
ISBN: 3319946765
Category : Mathematics
Languages : en
Pages : 312
Book Description
This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.