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Author: Dingzhu Du Publisher: World Scientific ISBN: 9810241070 Category : Mathematics Languages : en Pages : 337
Book Description
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.
Author: Dingzhu Du Publisher: World Scientific ISBN: 9810241070 Category : Mathematics Languages : en Pages : 337
Book Description
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.
Author: Ding-zhu Du Publisher: World Scientific ISBN: 9814504521 Category : Mathematics Languages : en Pages : 263
Book Description
Group testing was first proposed for blood tests, but soon found its way to many industrial applications. Combinatorial group testing studies the combinatorial aspect of the problem and is particularly related to many topics in combinatorics, computer science and operations research. Recently, the idea of combinatorial group testing has been applied to experimental designs, coding, multiaccess computer communication, clone library screening and other fields. This book is the first attempt to cover the theory and applications of combinatorial group testing in one place.
Author: Dingzhu Du Publisher: World Scientific ISBN: 9789810212933 Category : Mathematics Languages : en Pages : 268
Book Description
Du (computer science, City U. of Hong Kong) and Hwant (applied mathematics, National Chiao Tung U., Taiwan) assemble the theories and applications of a technique for testing blood on a large scale economically. They say it was developed about 50 years ago, but went dormant when the immediate need passed, and think it might be useful again now what with the AIDS epidemic and all. They mention no date for the first edition; not only have they updated results and corrected errors here, they have also incorporated the recent extensive application of non-adaptive group testing to the clone library screening problem. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Ding-zhu Du Publisher: World Scientific ISBN: 9814494127 Category : Mathematics Languages : en Pages : 337
Book Description
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 reorganized into parts to provide focuses and perspectives.
Author: Frank Kwang-ming Hwang Publisher: World Scientific ISBN: 9814477869 Category : Science Languages : en Pages : 249
Book Description
Pooling designs have been widely used in various aspects of DNA sequencing. In biological applications, the well-studied mathematical problem called “group testing” shifts its focus to nonadaptive algorithms while the focus of traditional group testing is on sequential algorithms. Biological applications also bring forth new models not previously considered, such as the error-tolerant model, the complex model, and the inhibitor model. This book is the first attempt to collect all the significant research on pooling designs in one convenient place.The coverage includes many real biological applications such as clone library screening, contig sequencing, exon boundary finding and protein-protein interaction detecting and introduces the mathematics behind it.
Author: D.J. Collins Publisher: Springer Science & Business Media ISBN: 9783540637042 Category : Mathematics Languages : en Pages : 252
Book Description
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
Author: Jos C.M. Baeten Publisher: Springer ISBN: Category : Computers Languages : en Pages : 1224
Book Description
The refereed proceedings of the 30th International Colloquium on Automata, Languages and Programming, ICALP 2003, held in Eindhoven, The Netherlands in June/July 2003. The 84 revised full papers presented together with six invited papers were carefully reviewed and selected from 212 submissions. The papers are organized in topical sections on algorithms, process algebra, approximation algorithms, languages and programming, complexity, data structures, graph algorithms, automata, optimization and games, graphs and bisimulation, online problems, verification, the Internet, temporal logic and model checking, graph problems, logic and lambda-calculus, data structures and algorithms, types and categories, probabilistic systems, sampling and randomness, scheduling, and geometric problems.
Author: Matthew Aldridge Publisher: ISBN: 9781680835960 Category : Computers Languages : en Pages : 208
Book Description
Researchers and students in modern communication and network systems will find this monograph an essential resource in understanding this new family of codes that will have a significant impact on such systems in the years to come.
Author: Dingzhu Du
Author: Dingzhu Du
Author: Ding-zhu Du
Author: Dingzhu Du
Author: Ding-zhu Du
Author: Frank Kwang-ming Hwang
Author: D.J. Collins
Author: 
Author: Eric James Fennessey
Author: Jos C.M. Baeten
Author: Matthew Aldridge