Author : Gerard Salton
Publisher : SIAM
Page : 61 pages
File Size : 44,74 MB
Release : 1975-01-01
Category : Technology & Engineering
ISBN : 0898710154
Test results are included which illustrate the effectiveness of the theory.
Author : Yiming Long
Publisher : Birkhäuser
Page : 393 pages
File Size : 18,48 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034881754
This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems. The applications of these concepts yield new approaches to some outstanding problems. Particular attention is given to the minimal period solution problem of Hamiltonian systems and the existence of infinitely many periodic points of the Poincaré map of Lagrangian systems on tori.
Author : Rufus Willett
Publisher : Cambridge University Press
Page : 595 pages
File Size : 18,96 MB
Release : 2020-07-02
Category : Mathematics
ISBN : 1108853110
Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology, and applications to physics. If the space of solutions is infinite dimensional, it becomes necessary to generalise the classical Fredholm index using tools from the K-theory of operator algebras. This leads to higher index theory, a rapidly developing subject with connections to noncommutative geometry, large-scale geometry, manifold topology and geometry, and operator algebras. Aimed at geometers, topologists and operator algebraists, this book takes a friendly and concrete approach to this exciting theory, focusing on the main conjectures in the area and their applications outside of it. A well-balanced combination of detailed introductory material (with exercises), cutting-edge developments and references to the wider literature make this a valuable guide to this active area for graduate students and experts alike.
Author : Frederick Wilfrid Lancaster
Publisher : Facet Publishing
Page : 488 pages
File Size : 32,28 MB
Release : 2003
Category : Language Arts & Disciplines
ISBN :
This third edition of what has become a classic among textbooks in schools of library and information science (and related programs) has been thoroughly updated to reflect the evolving technological advancements in the field. Focusing on indexing of the subject matter of material, the beginning chapters review the literature and discuss various principles and practices such as exhaustivity or depth of indexing, specificity, checktags, pre- and post-coordinate indexes, and consistency and quality of indexing. Discussions on abstracting cover such concepts as the different types of abstracts, purpose of an abstract, structured versus narrative abstracts, informative versus indicative abstracts, subject slanting, modular abstracts, and writing and evaluating an abstract. Various styles of indexing used in printed publications such as Index Medicus, the Engineering Index, and Chemical Abstracts are illustrated in the text; although the author is quick to note that printed tools are used much less today in favor of their online counterparts. In the online world, indexing has even greater importance in the effort to retrieve relevant data efficiently. Related concepts such as weighted indexing, linking of terms, and relational indicators are discussed as aids to precision. The idiosyncrasies of indexing special formats such as images and sounds and the Internet, as well as the use of computer-generated or automated indexing and abstracting, are also reviewed. The author admits that the Web has become so large and complex that it is beyond the scope of any single book to explain all of its components. He suggests the use of Web-based services such as The Extreme Web Searcher's Internet Handbook News and Updates http://extremesearcher.com/news.html or Search Engine Watch http://searchenginewatch.com to keep current with new developments.
Author : Harald Upmeier
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 43,8 MB
Release : 1995-01-26
Category : Mathematics
ISBN : 9783764352820
4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
Author : R. G. D. Allen
Publisher : Transaction Publishers
Page : 290 pages
File Size : 14,6 MB
Release : 2008
Category : Business & Economics
ISBN : 9780202362540
There is no book currently available that gives a comprehensive treatment of the design, construction, and use of index numbers. However, there is a pressing need for one in view of the increasing and more sophisticated employment of index numbers in the whole range of applied economics and specifically in discussions of macroeconomic policy. In this book, R. G. D. Allen meets this need in simple and consistent terms and with comprehensive coverage. The text begins with an elementary survey of the index-number problem before turning to more detailed treatments of the theory and practice of index numbers. The binary case in which one time period is compared with another is first developed and illustrated with numerous examples. This is to prepare the ground for the central part of the text on runs of index numbers. Particular attention is paid both to fixed-weighted and to chain forms as used in a wide range of published index numbers taken mainly from British official sources. This work deals with some further problems in the construction of index numbers, problems which are both troublesome and largely unresolved. These include the use of sampling techniques in index-number design and the theoretical and practical treatment of quality changes. It is also devoted to a number of detailed and specific applications of index-number techniques to problems ranging from national-income accounting, through the measurement of inequality of incomes and international comparisons of real incomes, to the use of index numbers of stock-market prices. Aimed primarily at students of economics, whatever their age and range of interests, this work will also be of use to those who handle index numbers professionally. R. G. D. Allen (1906-1983) was Professor Emeritus at the University of London. He was also once president of the Royal Statistical Society and Treasurer of the British Academy where he was a fellow. He is the author of Basic Mathematics, Mathematical Analysis for Economists, Mathematical Economics and Macroeconomic Theory.
Author : Kunio Murasugi
Publisher : American Mathematical Soc.
Page : 118 pages
File Size : 47,53 MB
Release : 1993
Category : Mathematics
ISBN : 0821825704
There are three chapters to the memoir. The first defines and develops the notion of the index of a graph. The next chapter presents the general application of the graph index to knot theory. The last section is devoted to particular examples, such as determining the braid index of alternating pretzel links. A second result shows that for an alternating knot with Alexander polynomial having leading coefficient less than 4 in absolute value, the braid index is determined by polynomial invariants.
Author : Eugene Garfield
Publisher :
Page : 304 pages
File Size : 46,94 MB
Release : 1983
Category : Law
ISBN :
A conceptual view of citation indexing; A historical view of citation indexing; The design and production of a citation index; The application of citation indexing to the patent literature; The citation index as a search tool; A science management tool; Citation analysis as a method of historical research into science; Mapping the structure of science; Citation analysis of sientific journals; Perspective on citation analysis of scientists.
Author : Donna Jo Napoli
Publisher : Cambridge University Press
Page : 384 pages
File Size : 15,43 MB
Release : 1989-05-11
Category : Language Arts & Disciplines
ISBN : 9780521368209
In this study Donna Jo Napoli takes a common-sense approach to the notions of argument and predicate. Discussions of predication within Government and Binding theory have stressed the configurational properties of the phrases involved, and Napoli argues that this has led to proposals for more and more elaborate syntactic structures that nevertheless fail to provide genuinely explanatory accounts. She presents a convincing case for viewing the notion of predicate as a semantic primitive which cannot be defined by looking simply at the lexicon or simply at the syntactic structure, and offers a theory or predication where the key to the subject-predicate relationship is theta-role assignment. The book then goes on to offer principles for the coindexing of a predicate with its subject role player. These coindexing principles make use of Chomsky's 1986 notion of barriers, but instead of being sensitive to configurational notions like c-command and governing category, Napoli argues that they are sensitive to thematic structure. In the final chapter of the book Napoli extends the principles for predication coindexing to anaphor binding, by introducing the notion of argument ladders.
Author : Peter B. Gilkey
Publisher : CRC Press
Page : 534 pages
File Size : 12,26 MB
Release : 1994-12-22
Category : Mathematics
ISBN : 9780849378744
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.
