Convex Bodies: The Brunn–Minkowski Theory

Convex Bodies: The Brunn–Minkowski Theory PDF

Author: Rolf Schneider

Publisher: Cambridge University Press

Published: 2013-10-31

Total Pages: 752

ISBN-13: 1107471613

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At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are satisfied by mixed volumes are considered here in detail. The author presents a comprehensive introduction to convex bodies, including full proofs for some deeper theorems. The book provides hints and pointers to connections with other fields and an exhaustive reference list. This second edition has been considerably expanded to reflect the rapid developments of the past two decades. It includes new chapters on valuations on convex bodies, on extensions like the Lp Brunn–Minkowski theory, and on affine constructions and inequalities. There are also many supplements and updates to the original chapters, and a substantial expansion of chapter notes and references.

From Gestalt Theory to Image Analysis

From Gestalt Theory to Image Analysis PDF

Author: Agnès Desolneux

Publisher: Springer Science & Business Media

Published: 2007-12-18

Total Pages: 278

ISBN-13: 0387726357

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This book introduces a new theory in Computer Vision yielding elementary techniques to analyze digital images. These techniques are a mathematical formalization of the Gestalt theory. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The book is mathematically self-contained, needing only basic understanding of probability and calculus. The text includes more than 130 illustrations, and numerous examples based on specific images on which the theory is tested. Detailed exercises at the end of each chapter help the reader develop a firm understanding of the concepts imparted.

Parallel Image Analysis

Parallel Image Analysis PDF

Author: Akira Nakamura

Publisher: Springer Science & Business Media

Published: 1992-12-02

Total Pages: 328

ISBN-13: 9783540563464

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This volume contains the papers selected for presentation at the Second International Conference on Parallel Image Analysis (ICPIA '92), held in Ube, Japan, December 21-23, 1992. The conference topics are data structures, parallel algorithms and architectures, neural networks, computational vision, syntactic generation and recognition, and multidimensional models. The first meeting with these topics was theInternational Colloquium on Parallel Image Processing, which took place in Paris in June 1991. The aim of the meetings is to bring together specialistsfrom various countries who are interested in the topics and to stimulatetheoretical and practical research in the field of parallel image processingand analysis. The volume contains three invited papers, a summary of a tutorial lecture, and twenty selected and refereed communications.

The Arnoldfest

The Arnoldfest PDF

Author: Vladimir Igorevich Arnolʹd

Publisher: American Mathematical Soc.

Published:

Total Pages: 580

ISBN-13: 9780821885895

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This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over--including several from "Arnold's school"--gave illuminating talks and lively poster sessions. The presentations focused on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program. The topics of the lectures are: (1) From Hilbert's Superposition Problem to Dynamical Systems (2) Symplectization, Complexification, and Mathematical Trinities (3) Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's "Recollections", concerning some of the history of KAM theory.

Special Values of Automorphic Cohomology Classes

Special Values of Automorphic Cohomology Classes PDF

Author: Mark Green

Publisher: American Mathematical Soc.

Published: 2014-08-12

Total Pages: 158

ISBN-13: 0821898574

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The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focus throughout is on the domains which occur as open -orbits in the flag varieties for and , regarded as classifying spaces for Hodge structures of weight three. In the context provided by these basic examples, the authors formulate and illustrate the general method by which correspondence spaces give rise to Penrose transforms between the cohomologies of distinct such orbits with coefficients in homogeneous line bundles.

New York Magazine

New York Magazine PDF

Author:

Publisher:

Published: 1970-10-12

Total Pages: 80

ISBN-13:

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New York magazine was born in 1968 after a run as an insert of the New York Herald Tribune and quickly made a place for itself as the trusted resource for readers across the country. With award-winning writing and photography covering everything from politics and food to theater and fashion, the magazine's consistent mission has been to reflect back to its audience the energy and excitement of the city itself, while celebrating New York as both a place and an idea.

Recent Developments in Lie Algebras, Groups and Representation Theory

Recent Developments in Lie Algebras, Groups and Representation Theory PDF

Author: Kailash C. Misra

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 330

ISBN-13: 0821869175

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This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.