MATCHING THEORY

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Matching Theory

Author : László Lovász
ISBN : 9780821847596
Genre : Mathematics
File Size : 26.61 MB
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This book surveys matching theory, with an emphasis on connections with other areas of mathematics and on the role matching theory has played, and continues to play, in the development of some of these areas. Besides basic results on the existence of matchings and on the matching structure of graphs, the impact of matching theory is discussed by providing crucial special cases and nontrivial examples on matroid theory, algorithms, and polyhedral combinatorics. The new Appendix outlines how the theory and applications of matching theory have continued to develop since the book was first published in 1986, by launching (among other things) the Markov Chain Monte Carlo method.
Category: Mathematics

Matching Theory For Wireless Networks

Author : Zhu Han
ISBN : 9783319562520
Genre : Technology & Engineering
File Size : 32.89 MB
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This book provides the fundamental knowledge of the classical matching theory problems. It builds up the bridge between the matching theory and the 5G wireless communication resource allocation problems. The potentials and challenges of implementing the semi-distributive matching theory framework into the wireless resource allocations are analyzed both theoretically and through implementation examples. Academics, researchers, engineers, and so on, who are interested in efficient distributive wireless resource allocation solutions, will find this book to be an exceptional resource.
Category: Technology & Engineering

Best Matching Theory Applications

Author : Mohsen Moghaddam
ISBN : 9783319460703
Genre : Technology & Engineering
File Size : 40.38 MB
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Mismatch or best match? This book demonstrates that best matching of individual entities to each other is essential to ensure smooth conduct and successful competitiveness in any distributed system, natural and artificial. Interactions must be optimized through best matching in planning and scheduling, enterprise network design, transportation and construction planning, recruitment, problem solving, selective assembly, team formation, sensor network design, and more. Fundamentals of best matching in distributed and collaborative systems are explained by providing: § Methodical analysis of various multidimensional best matching processes § Comprehensive taxonomy, comparing different best matching problems and processes § Systematic identification of systems’ hierarchy, nature of interactions, and distribution of decision-making and control functions § Practical formulation of solutions based on a library of best matching algorithms and protocols, ready for direct applications and apps development. Designed for both academics and practitioners, oriented to systems engineers and applied operations researchers, diverse types of best matching processes are explained in production, manufacturing, business and service, based on a new reference model developed at Purdue University PRISM Center: “The PRISM Taxonomy of Best Matching”. The book concludes with major challenges and guidelines for future basic and applied research in the area of best matching.
Category: Technology & Engineering

Broadband Matching

Author : Wai-Kai Chen
ISBN : 9789814619080
Genre : Technology & Engineering
File Size : 44.11 MB
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The third edition presents a unified, up-to-date and detailed account of broadband matching theory and its applications to the design of broadband matching networks and amplifiers. A special feature is the addition of results that are of direct practical value. They are design curves, tables and explicit formulas for designing networks having Butterworth, Chebyshev or elliptic, Bessel or maximally flat group-delay response. These results are extremely useful as the design procedures can be reduced to simple arithmetic. Two case studies towards the end of the book are intended to demonstrate the applications to the practical design of modern filter circuits. Contents:Foundations of Network TheoryThe Scattering MatrixApproximation and Ladder RealizationTheory of Broadband Matching: The Passive LoadTheory of Broadband Matching: The Active LoadExplicit Design Formulas for Broadband Matching NetworksBroadband Matching of Frequency-Dependent Source and LoadReal-Frequency Solutions of the Broadband Matching ProblemThe Maximally-Flat Time Delay Approximation: The Bessel–Thomson ResponseDiplexer and Multiplexer Design Readership: Students in Electrical and Electronics Engineering, Network Engineering, Broadband Engineering. Keywords:Filters;Broadband Matching;Network Theory;Scattering Matrix;Approximation;Ladder Realization;Active Load Match;Passive Load Match;Explicit Formulas;Circuits;Broadband Limitation;Matching Networks;Passive Filters;Filter Characteristics;Frequency Dependent Load;Frequency Dependent Source;Real Frequency Solutions
Category: Technology & Engineering

Broadband Matching Theory And Implementations

Author : Wai-Kai Chen
ISBN : 9810214537
Genre : Technology & Engineering
File Size : 80.84 MB
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The solutions to problems in the text Broadband Matching: Theory and Implementations are presented in this book. It contains detailed solutions to most problems in the text except some proofs of identities and theorems and the verification of solutions. Many of the design problems are given in numerical details for the benefit of those who wish to perform the design themselves.
Category: Technology & Engineering

Theory And Design Of Broadband Matching Networks

Author : Wai-Kai Chen
ISBN : 9781483159447
Genre : Technology & Engineering
File Size : 64.82 MB
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Theory and Design of Broadband Matching Networks centers on the network theory and its applications to the design of broadband matching networks and amplifiers. Organized into five chapters, this book begins with a description of the foundation of network theory. Chapter 2 gives a fairly complete exposition of the scattering matrix associated with an n-port network. Chapter 3 considers the approximation problem along with a discussion of the approximating functions. Chapter 4 explains the Youla's theory of broadband matching by illustrating every phase of the theory with fully worked out examples. The extension of Youla's theory to active load impedance is taken up in Chapter 5. This book will be useful as a reference for practicing engineers who wish to learn how the modern network theory can be applied to the design of many practical circuits.
Category: Technology & Engineering

Relational Matching

Author : George Vosselman
ISBN : 3540557989
Genre : Computers
File Size : 23.60 MB
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This is an introduction to recursive functions intended for graduate students. It presupposes some mathematical maturity and a slight aquaintancewith some important topics, such as group theory and topology. Some acquaintance with logic is desirable but not essential. It introduces the main topics of recusion theory, such as hierarchy theory, RE sets, and undecidable theories, without going very deeply into any of them.
Category: Computers

Statistical Matching

Author : Marcello D'Orazio
ISBN : 9780470023549
Genre : Mathematics
File Size : 20.27 MB
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There is more statistical data produced in today’s modern society than ever before. This data is analysed and cross-referenced for innumerable reasons. However, many data sets have no shared element and are harder to combine and therefore obtain any meaningful inference from. Statistical matching allows just that; it is the art of combining information from different sources (particularly sample surveys) that contain no common unit. In response to modern influxes of data, it is an area of rapidly growing interest and complexity. Statistical Matching: Theory and Practice introduces the basics of statistical matching, before going on to offer a detailed, up-to-date overview of the methods used and an examination of their practical applications. Presents a unified framework for both theoretical and practical aspects of statistical matching. Provides a detailed description covering all the steps needed to perform statistical matching. Contains a critical overview of the available statistical matching methods. Discusses all the major issues in detail, such as the Conditional Independence Assumption and the assessment of uncertainty. Includes numerous examples and applications, enabling the reader to apply the methods in their own work. Features an appendix detailing algorithms written in the R language. Statistical Matching: Theory and Practice presents a comprehensive exploration of an increasingly important area. Ideal for researchers in national statistics institutes and applied statisticians, it will also prove to be an invaluable text for scientists and researchers from all disciplines engaged in the multivariate analysis of data collected from different sources.
Category: Mathematics

A Geometric Theory For Hypergraph Matching

Author : Peter Keevash
ISBN : 9781470409654
Genre : Mathematics
File Size : 40.91 MB
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The authors develop a theory for the existence of perfect matchings in hypergraphs under quite general conditions. Informally speaking, the obstructions to perfect matchings are geometric, and are of two distinct types: `space barriers' from convex geometry, and `divisibility barriers' from arithmetic lattice-based constructions. To formulate precise results, they introduce the setting of simplicial complexes with minimum degree sequences, which is a generalisation of the usual minimum degree condition. They determine the essentially best possible minimum degree sequence for finding an almost perfect matching. Furthermore, their main result establishes the stability property: under the same degree assumption, if there is no perfect matching then there must be a space or divisibility barrier. This allows the use of the stability method in proving exact results. Besides recovering previous results, the authors apply our theory to the solution of two open problems on hypergraph packings: the minimum degree threshold for packing tetrahedra in -graphs, and Fischer's conjecture on a multipartite form of the Hajnal-Szemerédi Theorem. Here they prove the exact result for tetrahedra and the asymptotic result for Fischer's conjecture; since the exact result for the latter is technical they defer it to a subsequent paper.
Category: Mathematics

Matching Theory

Author : L. H. Harper
ISBN : OCLC:9138772
Genre : Matching theory
File Size : 72.42 MB
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Category: Matching theory