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Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.
This book presents recent developments in automatic text analysis. Providing an overview of linguistic modeling, it collects contributions of authors from a multidisciplinary area that focus on the topic of automatic text analysis from different perspectives. It includes chapters on cognitive modeling and visual systems modeling, and contributes to the computational linguistic and information theoretical grounding of automatic text analysis.
Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.
This volume presents new research results and current techniques for the design and analysis of external memory algorithms. Topics presented include problems in computational geometry, graph theory, data compression, disk scheduling, linear algebra, statistics, software libraries, text and string processing, visualization, wavelets, and industrial applications.
This book constitutes the refereed proceedings of the 15th International Workshop on Power and Timing Optimization and Simulation, PATMOS 2005, held in Leuven, Belgium in September 2005. The 74 revised full papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on low-power processors, code optimization for low-power, high-level design, telecommunications and signal processing, low-power circuits, system-on-chip design, busses and interconnections, modeling, design automation, low-power techniques, memory and register files, applications, digital circuits, and analog and physical design.
The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" understandable and enjoyable.
This book constitutes the refereed proceedings of the 12th International Conference on Discrete Geometry for Computer Imagery, DGCI 2005, held in Poitiers, France in April 2005. The 36 revised full papers presented together with an invited paper were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on applications, discrete hierarchical geometry, discrete tomography, discrete topology, object properties, reconstruction and recognition, uncertain geometry, and visualization.
This volume presents the proceedings from the third DIMACS workshop on "DNA Based Computers" held at the University of Pennsylvania (Philadelphia). The workshop was part of the Special Year on Molecular Biology and the Special Year on DNA Computing. The focus of this workshop was on the multidisciplinary nature of the conference, with emphasis on the interaction between biology and biochemistry on one hand and computer science and mathematics on the other.
Twenty-four articles from the November 1996 workshop investigate the reconstruction of trees or ranking hierarchies from dissimilarity or entity-to-character data, the use of hierarchies for modeling evolution and other processes, and the combining of gene trees. Included are mathematical treatments of hierarchies in the frameworks of set systems, linear subspaces, graph objects, and tree metrics in their analyses. Such current applications as learning robots, intron evolution, and the development of language are addressed. Annotation copyrighted by Book News, Inc., Portland, OR.
Beginning with art and architecture and culminating with science and mathematics itself, this book discusses geometric ideas and their many applications throughout history. These range from ancient to modern, concrete to abstract, and familiar to cutting edge. Each chapter is written by a leading expert or pioneer in their own field, and the book should be a valuable resource for students and teachers of geometry alike.