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Author : Eugene Zaustinskiy
Publisher : American Mathematical Soc.
ISBN 13 : 0821812343
Total Pages : 91 pages
Book Rating : 4.8/5 (218 download)
Download or read book Spaces with Non-Symmetric Distance written by Eugene Zaustinskiy and published by American Mathematical Soc.. This book was released on 1959 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene M. Zaustinksy
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (19 download)
Download or read book Spaces with Non-symmetric Distance written by Eugene M. Zaustinksy and published by . This book was released on 1939 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bettina Berendt
Publisher : IOS Press
ISBN 13 : 9781586031107
Total Pages : 284 pages
Book Rating : 4.0/5 (311 download)
Download or read book Representation and Processing of Knowledge About Distances in Environmental Space written by Bettina Berendt and published by IOS Press. This book was released on 1999 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge about distances---along with knowledge about spatial direction---is one of the most important fundamentals for a cognitive agent's orientation, navigation, and route planning. However, only some distances can be perceived directly. Therefore, knowledge about distances must often be inferred from other sources of information. In cognitive science research on spatial cognition, this is investigated in different ways, using empirical studies, computer simulations, and knowledge representation approaches. This book presents a comprehensive interdisciplinary study of human distance cognition. It discusses results on knowledge about distances from artificial intelligence research and cognitive psychology, proposing an integrating formal framework. Focusing on knowledge about route distances, it then presents a computational model of the way in which humans infer knowledge about distances in environmental spaces like cities or buildings.
Author : Herbert Busemann
Publisher : Courier Corporation
ISBN 13 : 0486154629
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)
Download or read book The Geometry of Geodesics written by Herbert Busemann and published by Courier Corporation. This book was released on 2012-07-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781594549175
Total Pages : 230 pages
Book Rating : 4.5/5 (491 download)
Download or read book On Nonsymmetric Topological and Probabilistic Structures written by Yeol Je Cho and published by Nova Publishers. This book was released on 2006 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied. These functions, called "probabilistic quasi-pseudo-metrics" and "fuzzy quasi-pseudo-metrics", are generalisations of classical quasi-pseudo metrics. For the sake of completeness as well as for convenience and easy comparison, most of the introductory paragraphs are mainly devoted to fundamental notions and results from the classical -- deterministic or symmetric -- theory.
Author : Eugene Michael Zaustinsky
Publisher :
ISBN 13 : 9780821899779
Total Pages : 91 pages
Book Rating : 4.8/5 (997 download)
Download or read book Spaces with Non-systematic Distance written by Eugene Michael Zaustinsky and published by . This book was released on 1959 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Busemann
Publisher : Springer Science & Business Media
ISBN 13 : 3642880576
Total Pages : 119 pages
Book Rating : 4.6/5 (428 download)
Download or read book Recent Synthetic Differential Geometry written by Herbert Busemann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions : The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here.
Author : Sourav S. Bhowmick
Publisher : Springer
ISBN 13 : 3642035736
Total Pages : 865 pages
Book Rating : 4.6/5 (42 download)
Download or read book Database and Expert Systems Applications written by Sourav S. Bhowmick and published by Springer. This book was released on 2009-08-25 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Database and Expert Systems Applications, DEXA 2009, held in Linz, Austria, in August/September 2009. The 35 revised full papers and 35 short papers presented were carefully reviewed and selected from 202 submissions. The papers are organized in topical sections on XML and databases; Web, semantics and ontologies; temporal, spatial, and high dimensional databases; database and information system architecture, performance and security; query processing and optimisation; data and information integration and quality; data and information streams; data mining algorithms; data and information modelling; information retrieval and database systems; and database and information system architecture and performance.
Author : K. Kuratowski
Publisher : Elsevier
ISBN 13 : 1483272567
Total Pages : 581 pages
Book Rating : 4.4/5 (832 download)
Download or read book Topology written by K. Kuratowski and published by Elsevier. This book was released on 2014-05-12 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, Volume I deals with topology and covers topics ranging from operations in logic and set theory to Cartesian products, mappings, and orderings. Cardinal and ordinal numbers are also discussed, along with topological, metric, and complete spaces. Great use is made of closure algebra. Comprised of three chapters, this volume begins with a discussion on general topological spaces as well as their specialized aspects, including regular, completely regular, and normal spaces. Fundamental notions such as base, subbase, cover, and continuous mapping, are considered, together with operations such as the exponential topology and quotient topology. The next chapter is devoted to the study of metric spaces, starting with more general spaces, having the limit as its primitive notion. The space is assumed to be metric separable, and this includes problems of cardinality and dimension. Dimension theory and the theory of Borei sets, Baire functions, and related topics are also discussed. The final chapter is about complete spaces and includes problems of general function theory which can be expressed in topological terms. The book includes two appendices, one on applications of topology to mathematical logics and another to functional analysis. This monograph will be helpful to students and practitioners of algebra and mathematics.
Author : C.E. Aull
Publisher : Springer Science & Business Media
ISBN 13 : 9401704708
Total Pages : 418 pages
Book Rating : 4.4/5 (17 download)
Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author : Hans Freudenthal
Publisher : Elsevier
ISBN 13 : 1483184641
Total Pages : 217 pages
Book Rating : 4.4/5 (831 download)
Download or read book Algebraical and Topological Foundations of Geometry written by Hans Freudenthal and published by Elsevier. This book was released on 2014-05-09 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers review the algebraical and topological foundations of geometry and cover topics ranging from the geometric algebra of the Möbius plane to the theory of parallels with applications to closed geodesies. Groups of homeomorphisms and topological descriptive planes are also discussed. Comprised of 26 chapters, this book introduces the reader to the theory of parallels with applications to closed geodesies; groups of homeomorphisms; complemented modular lattices; and topological descriptive planes. Subsequent chapters focus on collineation groups; exceptional algebras and exceptional groups; the connection between algebra and constructions with ruler and compasses; and the use of differential geometry and analytic group theory methods in foundations of geometry. Von Staudt projectivities of Moufang planes are also considered, and an axiomatic treatment of polar geometry is presented. This monograph will be of interest to students of mathematics.
Author : Vakhtang Kokilashvili
Publisher : Birkhäuser
ISBN 13 : 3319210181
Total Pages : 434 pages
Book Rating : 4.3/5 (192 download)
Download or read book Integral Operators in Non-Standard Function Spaces written by Vakhtang Kokilashvili and published by Birkhäuser. This book was released on 2016-05-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book’s most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
Author : Anuj Dawar
Publisher : Springer Science & Business Media
ISBN 13 : 364215204X
Total Pages : 561 pages
Book Rating : 4.6/5 (421 download)
Download or read book Computer Science Logic written by Anuj Dawar and published by Springer Science & Business Media. This book was released on 2010-08-11 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 24th International Workshop on Computer Science Logic, CSL 2010, held in Brno, Czech Republic, in August 2010. The 33 full papers presented together with 7 invited talks, were carefully reviewed and selected from 103 submissions. Topics covered include automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and games, modal and temporal logic, model checking, decision procedures, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification and program analysis, linear logic, higher-order logic, and nonmonotonic reasoning.
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
ISBN 13 : 3662035820
Total Pages : 480 pages
Book Rating : 4.6/5 (62 download)
Download or read book Hyperbolic Complex Spaces written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Author : Anthony C. Thompson
Publisher : Cambridge University Press
ISBN 13 : 9780521404723
Total Pages : 380 pages
Book Rating : 4.4/5 (47 download)
Download or read book Minkowski Geometry written by Anthony C. Thompson and published by Cambridge University Press. This book was released on 1996-06-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive treatment of Minkowski geometry since the 1940's
Author : Paul Olum
Publisher : American Mathematical Soc.
ISBN 13 : 0821812378
Total Pages : 74 pages
Book Rating : 4.8/5 (218 download)
Download or read book Invariants for Effective Homotopy Classification and Extension of Mappings written by Paul Olum and published by American Mathematical Soc.. This book was released on 1961 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor L. Shapiro
Publisher : American Mathematical Soc.
ISBN 13 : 0821812394
Total Pages : 107 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Fourier and Geometric Analysis written by Victor L. Shapiro and published by American Mathematical Soc.. This book was released on 1961 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
