Generalizations Of Finite Metrics And Cuts

Author : Michel-marie Deza,Elena Deza,Mathieu Dutour Sikiric
Publisher : World Scientific
Page : 320 pages
File Size : 45,6 Mb
Release : 2016-05-06
Category : Mathematics
ISBN : 9789814740418

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Generalizations Of Finite Metrics And Cuts by Michel-marie Deza,Elena Deza,Mathieu Dutour Sikiric Pdf

This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects.

Author : Elena Deza,M. Deza,Elena Mitchel,Mathieu Dutour Sikirić
Publisher : Unknown
Page : 303 pages
File Size : 42,9 Mb
Release : 2016
Category : MATHEMATICS
ISBN : 9814740403

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Generalizations of Finite Metrics and Cuts by Elena Deza,M. Deza,Elena Mitchel,Mathieu Dutour Sikirić Pdf

"This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts. Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects."--

Author : Meera Sitharam,Audrey St. John,Jessica Sidman
Publisher : CRC Press
Page : 787 pages
File Size : 46,9 Mb
Release : 2018-07-20
Category : Mathematics
ISBN : 9781351647434

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Handbook of Geometric Constraint Systems Principles by Meera Sitharam,Audrey St. John,Jessica Sidman Pdf

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.

Author : Shou Lin,Ziqiu Yun
Publisher : Springer
Page : 328 pages
File Size : 41,6 Mb
Release : 2016-10-20
Category : Mathematics
ISBN : 9789462392168

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Generalized Metric Spaces and Mappings by Shou Lin,Ziqiu Yun Pdf

The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.

Author : Charles V. Benton
Publisher : Nova Publishers
Page : 286 pages
File Size : 54,7 Mb
Release : 2004
Category : Mathematics
ISBN : 1590339398

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Mathematical Physics Research at the Cutting Edge by Charles V. Benton Pdf

Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field. Structure of the Kalb-Ramond Gauge Symmetry and Spinor Representations; Group Theoretical Interpretation of CPT-Theorem; Cross Recurrence Plots and Their Applications; Analytical Solutions of the Radiative Transfer Equation in One-dimensional Spherical Geometry With Central Symmetry; Hyperspherical Functions and Harmonic Analysis on the Lorentz Group; The Next Stage: Quantum Game Theory; Index.

Author : Michel Marie Deza,Monique Laurent
Publisher : Springer
Page : 580 pages
File Size : 51,7 Mb
Release : 2009-11-12
Category : Mathematics
ISBN : 9783642042959

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Geometry of Cuts and Metrics by Michel Marie Deza,Monique Laurent Pdf

Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.

Author : Michel-Marie Deza,Elena Deza
Publisher : Elsevier
Page : 412 pages
File Size : 54,9 Mb
Release : 2006-11-16
Category : Mathematics
ISBN : 9780080465548

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Dictionary of Distances by Michel-Marie Deza,Elena Deza Pdf

This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a working tool to compare data. The book will provide powerful resource for all researchers using Mathematics as well as for mathematicians themselves. In the time when over-specialization and terminology fences isolate researchers, this Dictionary try to be "centripedal" and "oikoumeni", providing some access and altitude of vision but without taking the route of scientific vulgarisation. This attempted balance is the main philosophy of this Dictionary which defined its structure and style. Key features: - Unicity: it is the first book treating the basic notion of Distance in whole generality. - Interdisciplinarity: this Dictionary is larger in scope than majority of thematic dictionaries. - Encyclopedicity: while an Encyclopedia of Distances seems now too difficult to produce, this book (by its scope, short introductions and organization) provides the main material for it and for future tutorials on some parts of this material. - Applicability: the distances, as well as distance-related notions and paradigms, are provided in ready-to-use fashion. - Worthiness: the need and urgency for such dictionary was great in several huge areas, esp. Information Retrieval, Image Analysis, Speech Recognition and Biology. - Accessibility: the definitions are easy to locate by subject or, in Index, by alphabetic order; the introductions and definitions are reader-friendly and maximally independent one from another; still the text is structured, in the 3D HTML style, by hyperlink-like boldfaced references to similar definitions. * Covers a large range of subjects in pure and applied mathematics * Designed to be easily applied--the distances and distance-related notions and paradigms are ready to use * Helps users quickly locate definitions by subject or in alphabetical order; stand-alone entries include references to other entries and sources for further investigation

Author : Andreas Dress,Yinfeng Xu,Binhai Zhu
Publisher : Springer
Page : 392 pages
File Size : 44,5 Mb
Release : 2007-08-29
Category : Computers
ISBN : 9783540735564

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Combinatorial Optimization and Applications by Andreas Dress,Yinfeng Xu,Binhai Zhu Pdf

Running to almost 400 pages, and featuring more than 40 papers, this work on combinatorial optimization and applications will be seen as an important addition to the literature. It constitutes the refereed proceedings of the first International Conference on Combinatorial Optimization and Applications, COCOA 2007, held in Xi'an, China in August of that year. The 29 revised full papers presented together with 8 invited papers and 2 invited presentations were carefully reviewed and selected from 114 submissions and cover both theoretical issues and practical applications.

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 1928 pages
File Size : 51,7 Mb
Release : 2017-11-22
Category : Computers
ISBN : 9781498711425

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Handbook of Discrete and Computational Geometry by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Author : Anupam Gupta
Publisher : Unknown
Page : 240 pages
File Size : 43,9 Mb
Release : 2000
Category : Electronic
ISBN : UCAL:C3446100

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Embeddings of Finite Metrics by Anupam Gupta Pdf

Author : Alvis Brazma
Publisher : World Scientific
Page : 413 pages
File Size : 54,6 Mb
Release : 2007-12
Category : Science
ISBN : 9781848161085

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Proceedings of the 6th Asia-Pacific Bioinformatics Conference by Alvis Brazma Pdf

High-throughput sequencing and functional genomics technologies have given us the human genome sequence as well as those of other experimentally, medically, and agriculturally important species, thus enabling large-scale genotyping and gene expression profiling of human populations. Databases containing large numbers of sequences, polymorphisms, structures, metabolic pathways, and gene expression profiles of normal and diseased tissues are rapidly being generated for human and model organisms. Bioinformatics is therefore gaining importance in the annotation of genomic sequences; the understanding of the interplay among and between genes and proteins; the analysis of the genetic variability of species; the identification of pharmacological targets; and the inference of evolutionary origins, mechanisms, and relationships. This proceedings volume contains an up-to-date exchange of knowledge, ideas, and solutions to conceptual and practical issues of bioinformatics by researchers, professionals, and industry practitioners at the 6th Asia-Pacific Bioinformatics Conference held in Kyoto, Japan, in January 2008.

Author : Lucas Bordeaux,Youssef Hamadi,Pushmeet Kohli
Publisher : Cambridge University Press
Page : 401 pages
File Size : 51,5 Mb
Release : 2014-02-06
Category : Computers
ISBN : 9781107729223

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Tractability by Lucas Bordeaux,Youssef Hamadi,Pushmeet Kohli Pdf

Classical computer science textbooks tell us that some problems are 'hard'. Yet many areas, from machine learning and computer vision to theorem proving and software verification, have defined their own set of tools for effectively solving complex problems. Tractability provides an overview of these different techniques, and of the fundamental concepts and properties used to tame intractability. This book will help you understand what to do when facing a hard computational problem. Can the problem be modelled by convex, or submodular functions? Will the instances arising in practice be of low treewidth, or exhibit another specific graph structure that makes them easy? Is it acceptable to use scalable, but approximate algorithms? A wide range of approaches is presented through self-contained chapters written by authoritative researchers on each topic. As a reference on a core problem in computer science, this book will appeal to theoreticians and practitioners alike.

Author : Anonim
Publisher : World Scientific
Page : 1001 pages
File Size : 45,6 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 8210379456XXX

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by Anonim Pdf

Author : Goulnara Arzhantseva
Publisher : EPFL Press
Page : 312 pages
File Size : 45,5 Mb
Release : 2009-03-16
Category : Mathematics
ISBN : 1439804001

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Limits of Graphs in Group Theory and Computer Science by Goulnara Arzhantseva Pdf

A collection of research articles and survey papers, this text highlights current methods and open problems in the geometric, combinatorial, and computational aspects of group theory. New interactions with broad areas of theoretical computer science are also considered. Pub 3/09.

Author : Seth Sullivant
Publisher : American Mathematical Society
Page : 506 pages
File Size : 45,5 Mb
Release : 2023-11-17
Category : Mathematics
ISBN : 9781470475109

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Algebraic Statistics by Seth Sullivant Pdf

Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.