Proceedings of the fifth Pacific Rim geometry conference held at Tohoku University, Sendai, Japan from july 25 to july 28, 2000

Proceedings of the fifth Pacific Rim geometry conference held at Tohoku University, Sendai, Japan from july 25 to july 28, 2000 PDF Author: Seiki Nishikawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 202

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Proceedings of the fifth Pacific Rim geometry conference held at Tohoku University, Sendai, Japan from july 25 to july 28, 2000

Proceedings of the fifth Pacific Rim geometry conference held at Tohoku University, Sendai, Japan from july 25 to july 28, 2000 PDF Author: Seiki Nishikawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 202

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Book Description


Proceedings of the Fifth Pacific Rim Geometry Conference Held at Tohoku University, Sendai, Japan, 25-28.07.2000

Proceedings of the Fifth Pacific Rim Geometry Conference Held at Tohoku University, Sendai, Japan, 25-28.07.2000 PDF Author: Seiki Nishikawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 202

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Book Description


Proceedings of the Fifth Pacific Rim Geometry Conference : held at Tohoku University, Sendai, Japan, from July 25 to July 28, 2000

Proceedings of the Fifth Pacific Rim Geometry Conference : held at Tohoku University, Sendai, Japan, from July 25 to July 28, 2000 PDF Author: Seiki Nishikawa
Publisher:
ISBN:
Category :
Languages : en
Pages : 202

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Book Description


Geometry from the Pacific Rim

Geometry from the Pacific Rim PDF Author: A. Jon Berrick
Publisher: Walter de Gruyter
ISBN: 3110908964
Category : Mathematics
Languages : en
Pages : 445

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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Introduction to Quantum Information Science

Introduction to Quantum Information Science PDF Author: Masahito Hayashi
Publisher: Springer
ISBN: 3662435020
Category : Computers
Languages : en
Pages : 338

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Book Description
This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.

The Fractal Geometry of Nature

The Fractal Geometry of Nature PDF Author: Benoit Mandelbrot
Publisher: Echo Point Books & Media, LLC
ISBN: 9781648370410
Category :
Languages : en
Pages : 0

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Book Description
Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Renewing U.S. Mathematics

Renewing U.S. Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309042283
Category : Mathematics
Languages : en
Pages : 148

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Book Description
As requested by the National Science Foundation (NSF) and the Interagency Committee for Extramural Mathematics Programs (ICEMAP), this report updates the 1984 Report known as the "David Report." Specifically, the charge directed the committee to (1) update that report, describing the infrastructure and support for U.S. mathematical sciences research; (2) assess trends and progress over the intervening five years against the recommendations of the 1984 Report; (3) briefly assess the field scientifically and identify significant opportunities for research, including cross-disciplinary collaboration; and (4) make appropriate recommendations designed to ensure that U.S. mathematical sciences research will meet national needs in coming years. Of the several components of the mathematical sciences community requiring action, its wellspring--university research departments--is the primary focus of this report. The progress and promise of research--described in the 1984 Report relative to theoretical development, new applications, and the refining and deepening of old applications--have if anything increased since 1984, making mathematics research ever more valuable to other sciences and technology. Although some progress has been made since 1984 in the support for mathematical sciences research, the goals set in the 1984 Report have not been achieved. Practically all of the increase in funding has gone into building the infractructure, which had deteriorated badly by 1984. While graduate and postdoctoral research, computer facilities, and new institutes have benefited from increased resources, some of these areas are still undersupported by the standards of other sciences. And in the area of research support for individual investigators, almost no progress has been made. A critical storage of qualified mathematical sciences researchers still looms, held at bay for the moment by a large influx of foreign researchers, an uncertain solution in the longer term. While government has responded substantially to the 1984 Report's recommendations, particularly in the support of infrastructure, the universities generally have not, so that the academic foundations of the mathematical sciences research enterprise are as shaky now as in 1984. The greatet progress has been made in the mathematics sciences community, whose members have shown a growing awareness of the problems confronting their discipline and increased interest in dealing with the problems, particularly in regard to communication with the public and government agencies and involvement in education. (AA)

Quantum Information Theory

Quantum Information Theory PDF Author: Mark M. Wilde
Publisher: Cambridge University Press
ISBN: 1316813304
Category : Computers
Languages : en
Pages : 1020

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Book Description
Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

The Beauty of Fractals

The Beauty of Fractals PDF Author: Heinz-Otto Peitgen
Publisher: Springer Science & Business Media
ISBN: 9783540158516
Category : Computers
Languages : en
Pages : 226

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Book Description
Now approaching its tenth year, this hugely successful book presents an unusual attempt to publicise the field of Complex Dynamics. The text was originally conceived as a supplemented catalogue to the exhibition "Frontiers of Chaos", seen in Europe and the United States, and describes the context and meaning of these fascinating images. A total of 184 illustrations - including 88 full-colour pictures of Julia sets - are suggestive of a coffee-table book. However, the invited contributions which round off the book lend the text the required formality. Benoit Mandelbrot gives a very personal account, in his idiosyncratic self-centred style, of his discovery of the fractals named after him and Adrien Douady explains the solved and unsolved problems relating to this amusingly complex set.

Resilience Engineering

Resilience Engineering PDF Author: Professor David D Woods
Publisher: Ashgate Publishing, Ltd.
ISBN: 1409463060
Category : Transportation
Languages : en
Pages : 511

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Book Description
For Resilience Engineering, 'failure' is the result of the adaptations necessary to cope with the complexity of the real world, rather than a malfunction. Human performance must continually adjust to current conditions and, because resources and time are finite, such adjustments are always approximate. Featuring contributions from leading international figures in human factors and safety, Resilience Engineering provides thought-provoking insights into system safety as an aggregate of its various components - subsystems, software, organizations, human behaviours - and the way in which they interact.