Stone Spaces

Author: Peter T. Johnstone

Publisher: Cambridge University Press

ISBN: 9780521337793

Category: Mathematics

Page: 370

View: 8787

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A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.
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Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry:

Author: Raf Cluckers,Johannes Nicaise,Julien Sebag

Publisher: Cambridge University Press

ISBN: 1139499793

Category: Mathematics

Page: N.A

View: 8667

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The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This book assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this book will prove invaluable. This first volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces.
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Algorithmic Learning Theory

21st International Conference, ALT 2010, Canberra, Australia, October 6-8, 2010. Proceedings

Author: Marcus Hutter,Frank Stephan,Vladimir Vovk,Thomas Zeugmann

Publisher: Springer Science & Business Media

ISBN: 3642161073

Category: Computers

Page: 421

View: 2888

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This volume contains the papers presented at the 21st International Conf- ence on Algorithmic Learning Theory (ALT 2010), which was held in Canberra, Australia, October 6–8, 2010. The conference was co-located with the 13th - ternational Conference on Discovery Science (DS 2010) and with the Machine Learning Summer School, which was held just before ALT 2010. The tech- cal program of ALT 2010, contained 26 papers selected from 44 submissions and ?ve invited talks. The invited talks were presented in joint sessions of both conferences. ALT 2010 was dedicated to the theoretical foundations of machine learning and took place on the campus of the Australian National University, Canberra, Australia. ALT provides a forum for high-quality talks with a strong theore- cal background and scienti?c interchange in areas such as inductive inference, universal prediction, teaching models, grammatical inference, formal languages, inductive logic programming, query learning, complexity of learning, on-line learning and relative loss bounds, semi-supervised and unsupervised learning, clustering,activelearning,statisticallearning,supportvectormachines,Vapnik- Chervonenkisdimension,probablyapproximatelycorrectlearning,Bayesianand causal networks, boosting and bagging, information-based methods, minimum descriptionlength,Kolmogorovcomplexity,kernels,graphlearning,decisiontree methods, Markov decision processes, reinforcement learning, and real-world - plications of algorithmic learning theory. DS 2010 was the 13th International Conference on Discovery Science and focused on the development and analysis of methods for intelligent data an- ysis, knowledge discovery and machine learning, as well as their application to scienti?c knowledge discovery. As is the tradition, it was co-located and held in parallel with Algorithmic Learning Theory.
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Handbook of Philosophical Logic

Author: D.M. Gabbay,Franz Guenthner

Publisher: Springer Science & Business Media

ISBN: 1402030924

Category: Philosophy

Page: 372

View: 5910

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A useful reference work to both students and researchers in formal philosophy, language and logic. This second edition is intended to comprise some 18 volumes and provides in-depth coverage of major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, and others.
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Rings, Modules, and Representations

International Conference on Rings and Things in Honor of Carl Faith and Barbara Osofsky, June 15 - 17, 2007, Ohio University-Zanesville

Author: Carl Clifton Faith,Barbara Osofsky

Publisher: American Mathematical Soc.

ISBN: 0821843702

Category: Mathematics

Page: 361

View: 540

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This volume originated from talks given at the International Conference on Rings and Things held in June, 2007 at Ohio University - Zanesville. The papers in this volume contain the latest results in current active research areas in the theory of rings and modules, including non commutative and commutative ring theory, module theory, representation theory, and coding theory. In particular, papers in this volume deal with topics such as decomposition theory of modules, injectivity and generalizations, tilting theory, rings and modules with chain conditions, Leavitt path algebras, representations of finite dimensional algebras, and codes over rings. While most of these papers are original research articles, some are expository surveys. This book is suitable for graduate students and researchers interested in non commutative ring and module theory, representation theory, and applications.
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General Topology and Applications

Proceedings of the 1988 Northeast Conference

Author: Shortt

Publisher: CRC Press

ISBN: N.A

Category: Mathematics

Page: 312

View: 8389

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Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor
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