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Author: Saharon Shelah
Publisher: Springer
ISBN: 3540397884
Category : Mathematics
Languages : en
Pages : 289
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Book Description
Author: Saharon Shelah
Publisher: Springer
ISBN: 3540397884
Category : Mathematics
Languages : en
Pages : 289
Get Book Here
Book Description
Author: Saharon Shelal
Publisher:
ISBN:
Category : Model theory
Languages : en
Pages : 279
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Book Description
Author: S. Shelah
Publisher: Elsevier
ISBN: 008088024X
Category : Computers
Languages : en
Pages : 741
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Book Description
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
Author: John T. Baldwin
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: John T. Baldwin
Publisher:
ISBN: 9783662210864
Category :
Languages : en
Pages : 516
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Book Description
Author: Susan Batley
Publisher: Chandos Publishing
ISBN: 1780634668
Category : Business & Economics
Languages : en
Pages : 215
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Book Description
Following on from the first edition of this book, the second edition fills the gap between more complex theoretical texts and those books with a purely practical approach. The book looks at major library classification schemes in use in Europe, UK and the USA, and includes practical exercises to demonstrate their application. Importantly, classifying electronic resources is also discussed. Classification in Theory and Practice aims to demystify a very complex subject, and to provide a sound theoretical underpinning, together with practical advice and development of practical skills. 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, 23rd edition Provides practical advice on which schemes will be most suitable for different types of library collection Covers classification of digital resources Explores recent developments in digital resources and tagging
Author: Krishan Kumar
Publisher: Vikas Publishing House
ISBN: 9780706986389
Category : Language Arts & Disciplines
Languages : en
Pages : 576
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Book Description
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 elses. Five major schemes of Classification, Library of Congress Classification, Colon Classification and Bliss Biblio-Graphic Classification have also been discussed.
Author: Saharon Shelah
Publisher: College Publications
ISBN: 9781904987727
Category : Mathematics
Languages : en
Pages : 702
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Book Description
An abstract elementary class (AEC) is a class of structures of a fixed vocabulary satisfying some natural closure properties. These classes encompass the normal classes defined in model theory and natural examples arise from mathematical practice, e.g. in algebra not to mention first order and infinitary logics. An AEC is always endowed with a special substructure relation which is not always the obvious one. Abstract elementary classes provide one way out of the cul de sac of the model theory of infinitary languages which arose from over-concentration on syntactic criteria. This is the second volume of a two-volume monograph on abstract elementary classes. It is quite self-contained and deals with three separate issues. The first is the topic of universal classes, i.e. classes of structures of a fixed vocabulary such that a structure belongs to the class if and only if every finitely generated substructure belongs. Then we derive from an assumption on the number of models, the existence of an (almost) good frame. The notion of frame is a natural generalization of the first order concept of superstability to this context. The assumption says that the weak GCH holds for a cardinal $\lambda$, its successor and double successor, and the class is categorical in the first two, and has an intermediate value for the number of models in the third. In particular, we can conclude from this argument the existence of a model in the next cardinal. Lastly we deal with the non-structure part of the topic, that is, getting many non-isomorphic models in the double successor of $ \lambda$ under relevant assumptions, we also deal with almost good frames themselves and some relevant set theory.
Author: Krishan Kumar
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 560
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Book Description
Author: Shuntaro Sumita
Publisher: Springer Nature
ISBN: 9813342641
Category : Technology & Engineering
Languages : en
Pages : 118
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Book Description
This book puts forward a modern classification theory for superconducting gap nodes, whose structures can be observed by experiments and are essential for understanding unconventional superconductivity. In the first part of the book, the classification method, based on group theory and K theory, is introduced in a step-by-step, pedagogical way. In turn, the latter part presents comprehensive classification tables, which include various nontrivial gap (node) structures, which are not predicted by the Sigrist-Ueda method, but are by the new method. The results obtained here show that crystal symmetry and/or angular momentum impose critical constraints on the superconducting gap structures. Lastly, the book lists a range of candidate superconductors for the nontrivial gap nodes. The classification methods and tables presented here offer an essential basis for further investigations into unconventional superconductivity. They indicate that previous experimental studies should be reinterpreted, while future experiments should reflect the new excitation spectrum.
