Codes on Euclidean Spheres

Codes on Euclidean Spheres PDF Author: T. Ericson
Publisher: Elsevier
ISBN: 0080502164
Category : Mathematics
Languages : en
Pages : 565

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Book Description
Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering points of view. Mathematically the topic belongs to the realm of algebraic combinatorics, with close connections to number theory, geometry, combinatorial theory, and - of course - to algebraic coding theory. The connections to physics occur within areas like crystallography and nuclear physics. In engineering spherical codes are of central importance in connection with error-control in communication systems. In that context the use of spherical codes is often referred to as "coded modulation." The book offers a first complete treatment of the mathematical theory of codes on Euclidean spheres. Many new results are published here for the first time. Engineering applications are emphasized throughout the text. The theory is illustrated by many examples. The book also contains an extensive table of best known spherical codes in dimensions 3-24, including exact constructions.

Finite Packing and Covering

Finite Packing and Covering PDF Author: K. Böröczky
Publisher: Cambridge University Press
ISBN: 9780521801577
Category : Mathematics
Languages : en
Pages : 406

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Book Description
This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.

Research in Computer Science in the Bulgarian Academy of Sciences

Research in Computer Science in the Bulgarian Academy of Sciences PDF Author: Krassimir T. Atanassov
Publisher: Springer Nature
ISBN: 3030722848
Category : Technology & Engineering
Languages : en
Pages : 501

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Book Description
This book is a collection of papers devoted to the emergence and development in Bulgarian Academy of Sciences of some of the areas of informatics, including artificial intelligence. The papers are prepared by specialists from the Academy, some of whom are among the founders of these scientific and application areas in Bulgaria and in some cases – in the world. The book is interesting for specialists in informatics and computer science and researchers in history of sciences.

Algebraic Combinatorics

Algebraic Combinatorics PDF Author: Eiichi Bannai
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303

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Book Description
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Research Problems in Discrete Geometry

Research Problems in Discrete Geometry PDF Author: Peter Brass
Publisher: Springer Science & Business Media
ISBN: 0387299297
Category : Mathematics
Languages : en
Pages : 507

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Book Description
This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

From Error-Correcting Codes Through Sphere Packings to Simple Groups

From Error-Correcting Codes Through Sphere Packings to Simple Groups PDF Author: Thomas M. Thompson
Publisher: American Mathematical Soc.
ISBN: 1470454602
Category :
Languages : en
Pages : 228

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Book Description
This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 1940's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels lead to discoveries of extremely efficient lattice packings of equal-radius balls, especially in 24-dimensional space. In turn, this highly symmetric lattice, with each point neighboring exactly 196,560 other points, suggested the possible presence of new simple groups as groups of symmetries. Indeed, new groups were found and are now part of the "Enormous Theorem"—the classification of all simple groups whose entire proof runs some 10,000+ pages—and these connections, along with the fascinating history and the proof of the simplicity of one of those "sporatic" simple groups, are presented at an undergraduate mathematical level.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes PDF Author: Gérard Cohen
Publisher: Springer Science & Business Media
ISBN: 9783540566861
Category : Computers
Languages : en
Pages : 376

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Book Description
Researchers may find themselves confronted with proteases, either because they play an essential role in a particular process they are studying, or because they interfere with that process. In either case they may need to investigate or inhibit the proteolytic activity. Others may wish to use proteolytic enzymes as laboratory tools. This book has been written with these investigators in mind and includes assay methods using natural and artificial substrates, genetic-based assays, and strategies for the inhibition, purification and crystallization of proteases. In selected chapters the use of proteolytic enzymes to analyze proteins, segregate cells or in peptide synthesis is covered.

 PDF Author:
Publisher: IOS Press
ISBN:
Category :
Languages : en
Pages : 6097

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Book Description


Multiple Access Channels

Multiple Access Channels PDF Author: Ezio Biglieri
Publisher: IOS Press
ISBN: 1586037285
Category : Computers
Languages : en
Pages : 360

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Book Description
Surveys general results on multiple-access channels, and gives an overview of the problems of CDMA solutions. This work includes chapters devoted to the information-theoretical aspects of multiple-access communication. It discusses multiple-access techniques and covers coding techniques.

Doklady

Doklady PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 530

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Book Description