الصفحة 3
الصفحة 3
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Statistical and Inductive Inference by Minimum Message Length

This book gives a sound introduction to the Minimum Message Length Principle and its applications, provides the theoretical arguments for the adoption of the principle, and shows the development of certain approximations that assist its practical application. MML appears also to provide both a normative and a descriptive basis for inductive reasoning generally, and scientific induction in particular. The book describes this basis and aims to show its relevance to the Philosophy of Science.

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Stable Approximate Evaluation of Unbounded Operators

Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.

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Spectral Methods : Fundamentals in Single Domains

Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.

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Spectral Methods : Evolution to Complex Geometries and Applications to Fluid Dynamics

Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then.The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.

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SOFSEM 2008: Theory and Practice of Computer Science ; 34th Conference on Current Trends in Theory and Practice of Computer Science, Nový Smokovec, Slovakia, January 19-25, 2008. Proceedings

This book is segmented into four topical sections on foundations of computer science; computing by nature; networks, security, and cryptography; and Web technologies.

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Similarity Search : The Metric Space Approach

This book is a direct response to recent advances in computing, communications and storage which have led to the current flood of digital libraries, data warehouses and the limitless heterogeneity of internet resources. Similarity Search: The Metric Space Approach will introduce state-of-the-art in developing index structures for searching complex data modeled as instances of a metric space. This book consists of two parts. Part 1 presents the metric search approach in a nutshell by defining the problem, describes major theoretical principals, and provides an extensive survey of specific techniques for a large range of applications. Part 2 concentrates on approaches particularly designed for searching in very large collections of data.

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Sharp Real-Part Theorems : A Unified Approach

Contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.

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Sharing Data, Information and Knowledge ; 25th British National Conference on Databases, BNCOD 25, Cardiff, UK, July 7-10, 2008. Proceedings

The book are organized in topical sections on data mining and privacy, data integration, stream and event data processing, and query processing and optimisation. The volume in addition contains 5 invited papers by leading researchers from the International Colloquium on Advances in Database Research and the two best papers from the workshop on Biodiversity Informatics: Challenges in Modelling and Managing Biodiversity Knowledge.

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Series Approximation Methods in Statistics

This book was originally compiled for a course I taught at the University of Rochester in the fall of 1991, and is intended to give advanced graduate students in statistics an introduction to Edgeworth and saddlepoint approximations, and related techniques.

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Seminar on Stochastic Analysis, Random Fields and Applications V ; Centro Stefano Franscini, Ascona, May 2005

This volume contains twenty-eight refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from May 30 to June 3, 2005. The seminar focused mainly on stochastic partial differential equations, random dynamical systems, infinite-dimensional analysis, approximation problems, and financial engineering.

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Semiclassical Dynamics and Relaxation

This text concerns ‘semiclassical’ within various meanings. These include the familiar JWKB approximation and its phase-integral generalizations in Chapter 2 to two and four transition points with or without one or two poles: by corollary, crossing and non-crossing nonadiabatic collision theory. Above and below threshold Wannier ionization is covered in Chapter 3 where the large parameters are the inverses of the variation of the hyperspherical angles from their ridge values. The more familiar impact parameter treatment, in which the possibly relativistic heavy-particle relative motion is treated classically and the electrons quantally, is well covered in Chapter 4. Diffusion in solids and liquids is described in Chapter 5 where typically the large parameter is the height of the barrier which is overcome by thermal agitation. Hypergeometric functions are introduced in Chapter 1 and Mittag-Leffler functions in Appendix B.

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Semantics in Data and Knowledge Bases ; 3rd International Workshop, SDKB 2008, Nantes, France, March 29, 2008, Revised Selected Papers

This book presented original contributions demonstrating the use of logic, discrete mathematics, combinatorics, domain theory and other mathematical theories of semantics for database and knowledge bases, computational linguistics and semiotics, and information and knowledge-based systems.

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Scientific Computing with MATLAB and Octave

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of ordinary and partial differential equations.

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Scanning Probe Microscopy : Atomic Scale Engineering by Forces and Currents

Scanning Probe Microscopy provides a comprehensive source of information for researchers, teachers, and graduate students about the rapidly expanding field of scanning probe theory. Written in the style of a textbook, it explains from scratch the theory behind today’s simulation techniques and gives examples of theoretical concepts through state-of-the-art simulations, including the means to compare these results with experimental data. The book provides the first comprehensive framework for electron transport theory with its various degrees of approximations used in today’s research, thus allowing extensive insight into the physics of scanning probes. Experimentalists will appreciate how the instrument's operation is changed by materials properties; theorists will understand how simulations can be directly compared to experimental data.

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Rough sets and intelligent systems paradigms ; International Conference, RSEISP 2007, Warsaw, Poland, June 28-30, 2007, Proceedings

This book constitutes the refereed proceedings of the International Conference on Rough Sets and Emerging Intelligent Systems Paradigms, held in Warsaw, Poland in June 2007. Seventy-three full papers are presented, together with two keynote lectures and eleven invited papers.

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Rough Sets and Current Trends in Computing ; 6th International Conference, RSCTC 2008 Akron, OH, USA, October 23-25, 2008 Proceedings

This book is organized in topical sections on logical and mathematical foundations, data analysis, data mining, decision support systems, clustering, pattern recognition and image processing, as well as bioinformatics. The three special session papers cover topics such as rough sets in data warehousing, classification challenges in email archiving, and approximation theories: granular computing vs. rough sets.

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Rewriting Techniques and Applications; 19th International Conference, RTA 2008 Hagenberg, Austria, July 15-17, 2008 Proceedings

The book covers current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.

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Resource Allocation In Multiuser Multicarrier Wireless Systems

This book proposes a unified algorithmic framework based on dual optimization techniques that have complexities that are linear in the number of subcarriers and users, and that achieve negligible optimality gaps in standards-based numerical simulations.

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Research and Advanced Technology for Digital Libraries ; 12th European Conference, ECDL 2008, Aarhus, Denmark, September 14-19, 2008. Proceedings

This book is organized in topical sections on digital preservation, social tagging, quatations and annotations, user studies and system evaluation, from content-centric to person-centric systems, citation analysis, collection building, user interfaces and personalization, interoperability, information retrieval, and metadata generation.

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Research and Advanced Technology for Digital Libraries ; 11th European Conference, ECDL 2007, Budapest, Hungary, September 16-21, 2007, Proceedings

Over the last 11 years, ECDL has created a strong interdisciplinary com- nity of researchers and practitioners in the ?eld of digital libraries, and has formed a substantial body of scholarly publications contained in the conference proceedings. ECDL 2007 featured separate calls for paper and poster submissions, - sulting in 119 full papers and 34 posters being submitted to the conference.

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