Classification Theory

Author : S. Shelah
Publisher : Elsevier
Page : 740 pages
File Size : 42,8 Mb
Release : 1990-12-06
Category : Mathematics
ISBN : 008088024X

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Classification Theory by S. Shelah Pdf

In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m|M|. This theorem is also the subject of Chapter XIII.

Author : Leo Sario,Mitsuru Nakai
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642482694

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Classification Theory of Riemann Surfaces by Leo Sario,Mitsuru Nakai Pdf

The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of efforts by leading mathematicians went into giving a rigorous proof of the theorem: RIEMANN, WEIERSTRASS, SCHWARZ, NEUMANN, POINCARE, HILBERT, WEYL, COURANT, OSGOOD, KOEBE, CARATHEODORY, MONTEL. The classical type problem was to determine whether a given simply connected covering surface of the plane is conformally equivalent to the plane or the disko The problem was in the center of interest in the thirties and early forties, with AHLFORS, KAKUTANI, KOBAYASHI, P. MYRBERG, NEVANLINNA, SPEISER, TEICHMÜLLER and others obtaining incisive specific results. The main problem of finding necessary and sufficient conditions remains, however, unsolved.

Author : Krishan Kumar
Publisher : Vikas Publishing House
Page : 576 pages
File Size : 43,7 Mb
Release : 1988
Category : Language Arts & Disciplines
ISBN : 0706986385

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Theory Of Classification by Krishan Kumar Pdf

This book provides a coherent account of the Theory of Classification. It discusses the contribution made by theoreticians like E.C. Richardson, J.D. Brown, W. Hulum, W.C. Berwick Sayers, H.E. Bliss and S.R. Ranganathan. However, the theory put forward by S.R. Ranganathan predominates the whole book because his contribution is far more than anybody else’s. Five major schemes of Classification, Library of Congress Classification, Colon Classification and Bliss Biblio-Graphic Classification have also been discussed.

Author : K. Ueno
Publisher : Springer
Page : 296 pages
File Size : 49,9 Mb
Release : 2006-11-15
Category : Computers
ISBN : 9783540374152

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Classification Theory of Algebraic Varieties and Compact Complex Spaces by K. Ueno Pdf

Author : John T. Baldwin
Publisher : Springer
Page : 512 pages
File Size : 53,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540480495

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Classification Theory by John T. Baldwin Pdf

Author : H. Popp
Publisher : Springer
Page : 196 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540370314

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Moduli Theory and Classification Theory of Algebraic Varieties by H. Popp Pdf

Author : Susan Batley
Publisher : Elsevier
Page : 195 pages
File Size : 44,6 Mb
Release : 2005-01-31
Category : Language Arts & Disciplines
ISBN : 9781780630748

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Classification in Theory and Practice by Susan Batley Pdf

This book covers all of the major library classification schemes in use in Europe, UK and US; it includes practical exercises to demonstrate their application. Importantly, classifying electronic resources is also discussed. The aim of the book is to demystify a very complex subject, and to provide a sound theoretical underpinning, together with practical advice and development of practical skills. The book fills the gap between more complex theoretical texts and those books with a purely practical approach. Chapters concentrate purely on classification rather than cataloguing and indexing, ensuring a more in-depth coverage of the topic. Covers the latest Dewey Decimal Classification, 22nd edition Provides practical advice on which schemes will be most suitable for different types of library collection Covers classification of electronic resources and taxonomy construction

Author : H. J. Baues
Publisher : Springer
Page : 398 pages
File Size : 44,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540359791

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Obstruction Theory by H. J. Baues Pdf

Author : Sergey Sudoplatov
Publisher : Litres
Page : 394 pages
File Size : 47,9 Mb
Release : 2022-01-29
Category : Mathematics
ISBN : 9785041454791

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Classification of countable models of complete theories. Рart 2 by Sergey Sudoplatov Pdf

The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.

Author : John T. Baldwin
Publisher : Unknown
Page : 516 pages
File Size : 50,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 366221086X

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Classification Theory by John T. Baldwin Pdf

Author : Masaki Izumi,Hideki Kosaki
Publisher : American Mathematical Soc.
Page : 198 pages
File Size : 52,7 Mb
Release : 2002
Category : Mathematics
ISBN : 9780821829356

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Kac Algebras Arising from Composition of Subfactors: General Theory and Classification by Masaki Izumi,Hideki Kosaki Pdf

We deal with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying: $G=N \rtimes H$ is a semi-direct product, the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and the restrictions $\alpha\!\!\mid_N,\alpha\!\!\mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L}^{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L}^{\alpha\mid_N}$) gives us an irreducible inclusion of factors with Jones index $\ No. G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dimension $\ No. G$.A Kac algebra arising in this way is investigated in detail, and in fact the relevant multiplicative unitary (satisfying the pentagon equation) is described. We introduce and analyze a certain cohomology group (denoted by $H^2((N,H),{\mathbf T})$) providing complete information on the Kac algebra structure, and we construct an abundance of non-trivial examples by making use of various cocycles. The operator algebraic meaning of this cohomology group is clarified, and some related topics are also discussed. Sector technique enables us to establish structure results for Kac algebras with certain prescribed underlying algebra structure.They guarantee that 'most' Kac algebras of low dimension (say less than $60$) actually arise from inclusions of the form ${\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal L}^{\alpha\mid_N}$, and consequently their classification can be carried out by determining $H^2((N,H),{\mathbf T})$. Among other things we indeed classify Kac algebras of dimension $16$ and $24$, which (together with previously known results) gives rise to the complete classification of Kac algebras of dimension up to $31$. Partly to simplify classification procedure and hopefully for its own sake, we also study 'group extensions' of general (finite-dimensional) Kac algebras with some discussions on related topics.

Author : M. P. Satija
Publisher : Elsevier
Page : 329 pages
File Size : 53,8 Mb
Release : 2013-09-30
Category : Language Arts & Disciplines
ISBN : 9781780634043

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The Theory and Practice of the Dewey Decimal Classification System by M. P. Satija Pdf

The Dewey Decimal Classification system (DDC) is the world’s most popular library classification system. The 23rd edition of the DDC was published in 2011. This second edition of The Theory and Practice of the Dewey Decimal Classification System examines the history, management and technical aspects of the DDC up to its latest edition. The book places emphasis on explaining the structure and number building techniques in the DDC and reviews all aspects of subject analysis and number building by the most recent version of the DDC. A history of, and introduction to, the DDC is followed by subject analysis and locating class numbers, chapters covering use of the tables and subdivisions therein, multiple synthesis, and using the relative index. In the appendix, a number of academically-interesting questions are identified and answered. Provides a comprehensive chronology of the DDC from its inception in 1876, to the present day Describes the governance, revision machinery and updating process Gives a table of all editors of the DDC

Author : Luciano da Fona Costa,Roberto Marcond Cesar, Jr.
Publisher : CRC Press
Page : 693 pages
File Size : 41,7 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9780849379406

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Shape Classification and Analysis by Luciano da Fona Costa,Roberto Marcond Cesar, Jr. Pdf

Because the properties of objects are largely determined by their geometric features, shape analysis and classification are essential to almost every applied scientific and technological area. A detailed understanding of the geometrical features of real-world entities (e.g., molecules, organs, materials and components) can provide important clues about their origin and function. When properly and carefully applied, shape analysis offers an exceedingly rich potential to yield useful applications in diverse areas ranging from material sciences to biology and neuroscience. Get Access to the Authors’ Own Cutting-Edge Open-Source Software Projects—and Then Actually Contribute to Them Yourself! The authors of Shape Analysis and Classification: Theory and Practice, Second Edition have improved the bestselling first edition by updating the tremendous progress in the field. This exceptionally accessible book presents the most advanced imaging techniques used for analyzing general biological shapes, such as those of cells, tissues, organs, and organisms. It implements numerous corrections and improvements—many of which were suggested by readers of the first edition—to optimize understanding and create what can truly be called an interactive learning experience. New Material in This Second Edition Addresses Graph and complex networks Dimensionality reduction Structural pattern recognition Shape representation using graphs Graphically reformulated, this edition updates equations, figures, and references, as well as slides that will be useful in related courses and general discussion. Like the popular first edition, this text is applicable to many fields and certain to become a favored addition to any library. Visit http://www.vision.ime.usp.br/~cesar/shape/ for Useful Software, Databases, and Videos

Author : Rajendra Kumbhar
Publisher : Elsevier
Page : 186 pages
File Size : 46,5 Mb
Release : 2011-11-18
Category : Business & Economics
ISBN : 9781780632988

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Library Classification Trends in the 21st Century by Rajendra Kumbhar Pdf

Library Classification Trends in the 21st Century traces development in and around library classification as reported in literature published in the first decade of the 21st century. It reviews literature published on various aspects of library classification, including modern applications of classification such as internet resource discovery, automatic book classification, text categorization, modern manifestations of classification such as taxonomies, folksonomies and ontologies and interoperable systems enabling crosswalk. The book also features classification education and an exploration of relevant topics. Covers all aspects of library classification It is the only book that reviews literature published over a decade’s time span (1999-2009) Well thought chapterization which is in tune with the LIS and classification curriculum

Author : Krzysztof Jajuga,Jacek Batóg,Marek Walesiak
Publisher : Springer Nature
Page : 334 pages
File Size : 45,8 Mb
Release : 2020-08-28
Category : Business & Economics
ISBN : 9783030523480

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Classification and Data Analysis by Krzysztof Jajuga,Jacek Batóg,Marek Walesiak Pdf

This volume gathers peer-reviewed contributions on data analysis, classification and related areas presented at the 28th Conference of the Section on Classification and Data Analysis of the Polish Statistical Association, SKAD 2019, held in Szczecin, Poland, on September 18–20, 2019. Providing a balance between theoretical and methodological contributions and empirical papers, it covers a broad variety of topics, ranging from multivariate data analysis, classification and regression, symbolic (and other) data analysis, visualization, data mining, and computer methods to composite measures, and numerous applications of data analysis methods in economics, finance and other social sciences. The book is intended for a wide audience, including researchers at universities and research institutions, graduate and doctoral students, practitioners, data scientists and employees in public statistical institutions.