Combinatorial Designs And Their Applications
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Combinatorial Designs And Their Applications
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Author : Kathleen Quinn
language : en
Publisher: Taylor & Francis
Release Date : 2023-02-06
Combinatorial Designs And Their Applications written by Kathleen Quinn and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Mathematics categories.
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.
Combinatorial Designs And Tournaments
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Author : Ian Anderson (Ph. D.)
language : en
Publisher: Oxford University Press
Release Date : 1997
Combinatorial Designs And Tournaments written by Ian Anderson (Ph. D.) and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This is an extensively revised version of the very successfulCombinatorial Designs: Construction Methods which was published in 1990 by Ellis Horwood and is now out of print. A new chapter on league schedules is now included, dealing with round robin tournaments, venue sequences, and carry over effects. Balanced tournament designs, double schedules, and bridge tournament designs are also covered, and there is some material on whist tournaments. The presentation is clear and reable. Throughout, the historical development of the material is emphasized. There are plenty of examples and exercises giving detailed constructions, and a copious bibliography is provided. The author is internationally respected as an expositor, and this book provides an excellent text and reference book for researchers.
Combinatorial Designs And Applications
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Author : W.D. Wallis
language : en
Publisher: CRC Press
Release Date : 2020-12-22
Combinatorial Designs And Applications written by W.D. Wallis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.
An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d
Combinatorial Designs And Their Applications
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Author : Fred C. Holroyd
language : en
Publisher:
Release Date : 2023
Combinatorial Designs And Their Applications written by Fred C. Holroyd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with MATHEMATICS categories.
Handbook Of Combinatorial Designs
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Author : C. J. Colbourn
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2006-11-02
Handbook Of Combinatorial Designs written by C. J. Colbourn and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Mathematics categories.
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results. Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory. New to the Second Edition An introductory part that provides a general overview and a historical perspective of the area New chapters on the history of design theory, various codes, bent functions, and numerous types of designs Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices Nearly 2,200 references in a single bibliographic section Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline. The author maintains a website with more information.
Combinatorial Designs
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Author : Douglas Stinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Combinatorial Designs written by Douglas Stinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Block Designs Analysis Combinatorics And Applications
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Author : Damaraju Raghavarao
language : en
Publisher: World Scientific
Release Date : 2005-10-11
Block Designs Analysis Combinatorics And Applications written by Damaraju Raghavarao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-11 with Mathematics categories.
Combinatorial mathematicians and statisticians have made a wide range of contributions to the development of block designs, and this book brings together much of that work. The designs developed for a specific problem are used in a variety of different settings. Applications include controlled sampling, randomized response, validation and valuation studies, intercropping experiments, brand cross-effect designs, lotto and tournaments.The intra- and inter- block, nonparametric and covariance analysis are discussed for general block designs, and the concepts of connectedness, orthogonality, and all types of balances in designs are carefully summarized. Readers are also introduced to the designs currently playing a prominent role in the field: alpha designs, trend-free designs, balanced treatment-control designs, nearest neighbor designs, and nested designs.This book provides the important background results required by researchers in block designs and related areas and prepares them for more complex research on the subject.
Combinatorial Designs And Their Applications
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Author : Kathleen A Quinn Staff
language : en
Publisher:
Release Date : 1998-11-01
Combinatorial Designs And Their Applications written by Kathleen A Quinn Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-01 with categories.
Combinatorial Group Testing And Its Applications
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Author : Dingzhu Du
language : en
Publisher: World Scientific
Release Date : 2000
Combinatorial Group Testing And Its Applications written by Dingzhu Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Group testing has been used in medical, chemical and electrical testing, coding, drug screening, pollution control, multiaccess channel management, and recently in data verification, clone library screening and AIDS testing. The mathematical model can be either combinatorial or probabilistic. This book summarizes all important results under the combinatorial model, and demonstrates their applications in real problems. Some other search problems, including the famous counterfeit-coins problem, are also studied in depth. There are two reasons for publishing a second edition of this book. The first is the usual need to update the text (after six years) and correct errors. The second -- and more important -- reason is to accommodate the recent sudden growth of interest in applying the idea of group testing to clone library screening. This development is much more than just a new application, since the new application brings with it new objectives which require a new twist of theory. It also embraces the growing importance of two topics: nonadaptive algorithms and error tolerance. Two new chapters, one on clone library screening and the other on error tolerance, have been added. Also included is a new chapter on counterfeit coins, the most famous search problem historically, which recently drew on an unexpected connection to some deep mathematical theory to yield new results. Finally, the chapters have been recognized into parts to provide focuses and perspectives.