Information Geometry, Nihat Ay; J?rgen Jost; H?ng V?n L?; Lorenz Schwach

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Автор: Nihat Ay; J?rgen Jost; H?ng V?n L?; Lorenz Schwach
Название: Information Geometry
ISBN: 3319564773 ISBN-13(EAN): 9783319564777
Издательство: Springer
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Цена: 111790.00 T
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Описание: The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

Автор: Nihat Ay; Paolo Gibilisco; Franti?ek Mat??
Название: Information Geometry and Its Applications
ISBN: 3030074056 ISBN-13(EAN): 9783030074050
Издательство: Springer
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Цена: 107130.00 T
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Описание: The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Universit? degli Studi di Roma Tor Vergata. The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.

Автор: Aad Goddijn, Martin Kindt, Wolfgang Reuter
Название: Geometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information
ISBN: 9462098581 ISBN-13(EAN): 9789462098589
Издательство: Brill
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Цена: 66410.00 T
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Описание: This book shows how geometry can be learned by starting with real world problems which are solved by intuition, common sense reasoning and experiments. Gradually the more formal demands of mathematical proofs get their proper place and make it possible to explore new applications. This process helps students to feel the need for precise definitions and procedures, to contribute to the construction of an axiomatic system, and to experience the power of systematic reasoning.The course is designed for students in a Nature & Technology strand which prepares for studying the sciences or technology at university level. Its goal was basically to reintroduce ‘proof’ in a meaningful way in the late 1990s Dutch secondary education curriculum. Following the educational view of the Freudenthal Institute this is not done by stating Euclid’s axioms on page one, but rather a starting point is chosen in students’ intuitions and tentative solutions of problems that are experienced as real and relevant.The photograph on the cover shows students exploring one of the problems from the midpart of the course in the computerlab.

Автор: Amari Shun-ichi
Название: Information Geometry and its Applications
ISBN: 4431559779 ISBN-13(EAN): 9784431559771
Издательство: Springer
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Цена: 88500.00 T
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Описание: This is the first comprehensive book on information geometry, written by the founder of the field. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry.

Автор: Akbary Amir, Gun Sanoli
Название: Geometry, Algebra, Number Theory, and Their Information Technology Applications: Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016
ISBN: 3030073467 ISBN-13(EAN): 9783030073466
Издательство: Springer
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Цена: 139750.00 T
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Описание: This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

Автор: Ay Nihat, Gibilisco Paolo, Matus Frantisek
Название: Information Geometry and Its Applications: On the Occasion of Shun-Ichi Amari`s 80th Birthday, Igaia IV Liblice, Czech Republic, June 2016
ISBN: 3319977970 ISBN-13(EAN): 9783319977973
Издательство: Springer
Рейтинг:
Цена: 139750.00 T
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Описание: The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Universit? degli Studi di Roma Tor Vergata. The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.

Автор: Frank Nielsen; Rajendra Bhatia
Название: Matrix Information Geometry
ISBN: 364244847X ISBN-13(EAN): 9783642448478
Издательство: Springer
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Цена: 139310.00 T
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Описание: This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing, discussing theoretical mathematical approaches in the context of potential applications in sensor and cognitive systems engineering.

Автор: Amir Akbary; Sanoli Gun
Название: Geometry, Algebra, Number Theory, and Their Information Technology Applications
ISBN: 3319973789 ISBN-13(EAN): 9783319973784
Издательство: Springer
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Цена: 139750.00 T
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Описание: Overview of the work of Kumar Murty (A. Akbary, S. Gun, M. Ram Murty).- On the average value of a function of the residual index (A. Akbary, A. T. Felix).- Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals (S. Baier, V. M. Patankar).- $R$-group and multiplicity in restriction for unitary principal series of $GSpin$ and $Spin$ (D. Ban, K. Choiy, D. Goldberg).- The $2$-Class Tower of $\mathbb{Q}(\sqrt{-5460})$ (N. Boston, J. Wang).- On the bad reduction of certain $U(2,1)$ Shimura varieties (E. de Shalit, E. Goren).- Density modulo 1 of a sequence associated to a multiplicative function evaluated at polynomial arguments (J.-M. Deshouillers, M. Nasiri-Zare).- Uniqueness Results for a class of $L$-functions (A. Dixit).- Quadratic periods of meromorphic forms on punctured Riemann surfaces (P. Eskandari).- On the local coefficients matrix for coverings of $\SL_2$ (F. Gao, F. Shahidi, D. Szpruch).- Eisenstein series of weight one, $q$-averages of $0$-logarithm and periods of elliptic curves (D. R. Grayson, D. Ramakrishnan).- On zeros of certain cusp Forms of integral weight for full modular group (M. Manickam, Sandeep E. M.).- A note on Burgess bound (R. Munshi).- A smooth Selberg sieve and applications (M. Ram Murty, A. Vatwani).- Explicit arithmetic on abelian varieties (V. Kumar Murty, P. Sastry).- Derived categories of moduli spaces of vector bundles on curves II (M. S. Narasimhan).- Representations of an integer by some quaternary and octonary quadratic forms (B. Ramakrishnan, B. Sahu, A. K. Singh).- A topological realization of the congruence subgroup kernel (J. Scherk).- Fine Selmer groups and isogeny invariance (R. Sujatha, M. Witte).- Distribution of a subset of non-residues modulo $p$ (by R. Thangadurai, V. Kumar).- On solving a generalized Chinese remainder theorem in the presence of remainder errors (G. Xu).- Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians Y. G. Zarhin).

Автор: Julian Hofrichter; J?rgen Jost; Tat Dat Tran
Название: Information Geometry and Population Genetics
ISBN: 331952044X ISBN-13(EAN): 9783319520445
Издательство: Springer
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Цена: 88500.00 T
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Описание: The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner.

Автор: Alexander S. Holevo
Название: Quantum Systems, Channels, Information: A Mathematical Introduction
ISBN: 3110642247 ISBN-13(EAN): 9783110642247
Издательство: Walter de Gruyter
Цена: 185890.00 T
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Описание: The series Texts and Monographs in Theoretical Physics collects advanced texts on selected topics from the broad and varied field of Theoretical Physics. The works in the series will enable the readers to get a deep understanding of current topics in Theoretical Physics, with a special emphasis on recent developments. They are aimed at advanced students and researchers in theoretical and mathematical physics, and can also serve as secondary reading for lectures and seminars at post-graduate levels.

Автор: Frank Nielsen; Frank Critchley; Christopher T. J.
Название: Computational Information Geometry
ISBN: 3319470566 ISBN-13(EAN): 9783319470566
Издательство: Springer
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Цена: 149060.00 T
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Описание: This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.