Encyclopedia of Distances

Erd ̋os-type distance problems (given, usually, for the Euclidean metric on R2) are of interest for Rn and for other metrics on R2. Examples of such problems are to find out: the ... M.M. Deza and E. Deza, Encyclopedia of Distances, ...

Author: Michel Marie Deza

Publisher: Springer Science & Business Media

ISBN: 9783642002342

Category: Mathematics

Page: 590

View: 752


Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These distances are particularly crucial, for example, in computational biology, image analysis, speech recognition, and information retrieval. Here, an assessment of the practical questions arising during selection of a "good'' distance function has been left aside in favor of a comprehensive listing of the main available distances, a useful tool for the distance design community. This reader-friendly reference offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. This high-quality publication is a mix of reference resource and coffee-table book.

Encyclopedia of Distances

The publication of this volume coincides with intensifying research efforts into metric spaces and especially distance design for applications.

Author: Michel Marie Deza

Publisher: Springer Science & Business Media

ISBN: 9783642309588

Category: Mathematics

Page: 650

View: 585


This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics. Its publication coincides with intensifying research efforts into metric spaces and especially distance design for applications. Accurate metrics have become a crucial goal in computational biology, image analysis, speech recognition and information retrieval. The content focuses on providing academics with an invaluable comprehensive listing of the main available distances. As well as standalone introductions and definitions, the encyclopedia facilitates swift cross-referencing with easily navigable bold-faced textual links to core entries, and includes a wealth of fascinating curiosities that enable non-specialists to deploy research tools previously viewed as arcane. Its value-added context is certain to open novel avenues of research.

Encyclopedia of Distance Learning Second Edition

Distance education at university level has a long history in Australia and in Canada due to the vastness of their lands and the huge distances between different cities and inhabited areas. The sheer size of these two countries has ...

Author: Rogers, Patricia L.

Publisher: IGI Global

ISBN: 9781605661995

Category: Technology & Engineering

Page: 2612

View: 785


Offers comprehensive coverage of the issues, concepts, trends, and technologies of distance learning.

Dictionary of Distances

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.

Author: Michel-Marie Deza

Publisher: Elsevier

ISBN: 9780080465548

Category: Mathematics

Page: 412

View: 794


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

Encyclopedia of Distance Learning

Encyclopedia . ( 2004 ) . The Cambridge encyclopedia of language . Cambridge , UK : Cambridge University Press . Encyclopedie . Britannica concise encyclopedia . Retrieved July 6 , 2004 , from Encyclopædia Britannica Premium Service ...

Author: Gary A. Berg

Publisher: Information Science Reference

ISBN: 1591405556

Category: Education

Page: 2112

View: 448


"This encyclopedia offers the most comprehensive coverage of the issues, concepts, trends, and technologies of distance learning. More than 450 international contributors from over 50 countries"--Provided by publisher.

A Primer on Hilbert Space Theory

The reader intrigued by Baire's Theorem will find a historical account and numerous examples of its uses in [5] For a glimpse of the overwhelming ubiquity of metric spaces in mathematics see the Encyclopedia of Distances [2].

Author: Carlo Alabiso

Publisher: Springer Nature

ISBN: 9783030674175

Category: Science

Page: 328

View: 106


This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.

Logical Foundations of Computer Science

Cilibrasi, R.L., Vitanyi, P.M.B.: The Google similarity distance. IEEE Trans. Knowl. Data Eng. 19(3), 370–383 (2007). https://doi.org/10.1109/TKDE.2007. 48 3. Deza, M.M., Deza, E.: Encyclopedia of Distances, 4th edn.

Author: Sergei Artemov

Publisher: Springer Nature

ISBN: 9783030931001

Category: Mathematics

Page: 377

View: 920


This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2022, held in Deerfield Beach, FL, USA, in January 2022. The 23 revised full papers were carefully reviewed and selected from 35 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.

Proceedings of the 9th International Conference on Computer Recognition Systems CORES 2015

Deza, E., Deza, M.M.: Encyclopedia of Distances. Springer, Berlin (2009) 5. Forczma ́nski, P.: Evaluation of singer's ... point distance histogram representation. Mach. Learn. Data Min. Pattern Recognit., LNCS 7376,603–616 (2012) 7.

Author: Robert Burduk

Publisher: Springer

ISBN: 9783319262277

Category: Computers

Page: 855

View: 667


The computer recognition systems are nowadays one of the most promising directions in artificial intelligence. This book is the most comprehensive study of this field. It contains a collection of 79 carefully selected articles contributed by experts of pattern recognition. It reports on current research with respect to both methodology and applications. In particular, it includes the following sections: Features, learning, and classifiers Biometrics Data Stream Classification and Big Data Analytics Image processing and computer vision Medical applications Applications RGB-D perception: recent developments and applications This book is a great reference tool for scientists who deal with the problems of designing computer pattern recognition systems. Its target readers can be the as well researchers as students of computer science, artificial intelligence or robotics.

Academic American Encyclopedia

These angular motions , if real , were so large that if the spirals had been at distances of 1 mil . lion light - years ... If this were an ordinary nova , as its behavior and light curve strongly suggested , the distance of M 31 was ...



ISBN: UOM:39015020810225

Category: Encyclopedias and dictionaries


View: 733


Handbook of Distance Education

Distance education policy and Iowa schools: A survey of administrators. In N. J. Maushak, and L. ManternachWigan (Eds.), Addendum to the encyclopedia of distance education research in Iowa (pp. 9–23). Ames, IA: Iowa State University.

Author: Michael Grahame Moore

Publisher: Routledge

ISBN: 9781135645410

Category: Education

Page: 1053

View: 384


The second edition of this award-winning book continues the mission of its predecessor, to provide a comprehensive compendium of research in all aspects of distance education, arguably the most significant development in education over the past quarter century. While the book deals with education that uses technology, the focus is on teaching and learning and how its management can be facilitated through technology. This volume will be of interest to anyone engaged in distance education at either the K-12 or college level. It is also appropriate for corporate and government trainers and for administrators and policy makers in all these environments.