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Author: Solomon W. Golomb
Publisher: Springer Science & Business Media
ISBN: 3540774033
Category : Computers
Languages : en
Pages : 227
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Book Description
Interested readers will find here the thoroughly refereed post-proceedings of the International Workshop of Sequences, Subsequences and Consequences, SSC 2007, held in Los Angeles, USA, in 2007. The 16 revised invited full papers and one revised contributed paper are presented together with three keynote lectures and were carefully reviewed and selected for the book. The theory of sequences has found practical applications in many areas of coded communications and in cryptography.
Author: Graham Everest
Publisher: American Mathematical Soc.
ISBN: 1470423154
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author: Jean-Paul Allouche
Publisher: Cambridge University Press
ISBN: 9780521823326
Category : Computers
Languages : en
Pages : 592
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Book Description
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.
Author: N.J.A. Sloane
Publisher: Academic Press
ISBN: 148326467X
Category : Mathematics
Languages : en
Pages : 221
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Book Description
A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science. This handbook describes how to use the main table and provides methods for analyzing and describing unknown and important sequences. This compilation also serves as an index to the literature for locating references on a particular problem and quickly finds numbers such as 712, number of partitions of 30, 18th Catalan number, or expansion of ? to 60 decimal places. Other topics include the method of differences, self-generating sequences, polyominoes, permutations, and puzzle sequences. This publication is a good source for students and researchers who are confronted with strange and important sequences.
Author: Ileana Toma
Publisher: Createspace Independent Publishing Platform
ISBN: 9781986524063
Category :
Languages : en
Pages : 172
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Book Description
This book is addressed to all those who, after finishing the high school, wish a practical initiation in the domain of sequences and series. This is the first volume of the series "Mathematics for future engineers." To provide useful tools for (future) engineers and for specialists, in general, we put into evidence some practical applications of sequences and series (e.g., how to apply Lagrange's and Taylor's formulas to the calculus of approximations, the catenary expressed in terms of hyperbolic functions, etc.). We tried to make the involved mathematics as attractive as possible, by simplifying the presentation without loosing the mathematical rigor of the results. To increase accessibility and to encourage the reader to get a technical know-how about sequences and series, we provided for each newly introduced notion a series of applications and solved problems; each chapter ends by a section containing exercises and problems, each one of these being accompanied by hints and answers. The references contain, along with books, some links with sites which can be helpful for the reader.
Author: Matt A. Bernstein
Publisher: Elsevier
ISBN: 0080533124
Category : Mathematics
Languages : en
Pages : 1041
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Book Description
Magnetic Resonance Imaging (MRI) is among the most important medical imaging techniques available today. There is an installed base of approximately 15,000 MRI scanners worldwide. Each of these scanners is capable of running many different "pulse sequences", which are governed by physics and engineering principles, and implemented by software programs that control the MRI hardware. To utilize an MRI scanner to the fullest extent, a conceptual understanding of its pulse sequences is crucial. Handbook of MRI Pulse Sequences offers a complete guide that can help the scientists, engineers, clinicians, and technologists in the field of MRI understand and better employ their scanner. - Explains pulse sequences, their components, and the associated image reconstruction methods commonly used in MRI - Provides self-contained sections for individual techniques - Can be used as a quick reference guide or as a resource for deeper study - Includes both non-mathematical and mathematical descriptions - Contains numerous figures, tables, references, and worked example problems
Author: Nick Rebman
Publisher:
ISBN: 9781503807631
Category : Sequences (Mathematics)
Languages : en
Pages : 0
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Book Description
Offers an introduction to sequencing in which the reader is asked to identify which action came first in a chain of events.
Author: Jianlun Xu
Publisher: Createspace Independent Publishing Platform
ISBN: 9781548279912
Category :
Languages : en
Pages : 110
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Book Description
The book is about arithmetic sequences, geometric sequences, recursive sequences, and arithmetic sequences of high order. The core of the book are important to high school students and college students. As a self-study guide, the book provides plenty of examples and explanations to help readers to grasp math concepts.
Author: Solomon W. Golomb
Publisher: Springer Science & Business Media
ISBN: 3540774033
Category : Computers
Languages : en
Pages : 227
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Book Description
Interested readers will find here the thoroughly refereed post-proceedings of the International Workshop of Sequences, Subsequences and Consequences, SSC 2007, held in Los Angeles, USA, in 2007. The 16 revised invited full papers and one revised contributed paper are presented together with three keynote lectures and were carefully reviewed and selected for the book. The theory of sequences has found practical applications in many areas of coded communications and in cryptography.
Author: Annette M. Griffin
Publisher: Springer Science & Business Media
ISBN: 0896032760
Category : Science
Languages : en
Pages : 433
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Book Description
DNA sequencing has become increasingly efficient over the years, resulting in an enormous increase in the amount of data gener ated. In recent years, the focus of sequencing has shifted, from being the endpoint of a project, to being a starting point. This is especially true for such major initiatives as the human genome project, where vast tracts of DNA of unknown function are sequenced. This sheer volume of available data makes advanced computer methods essen tial to analysis, and a familiarity with computers and sequence analy sis software a vital requirement for the researcher involved with DNA sequencing. Even for nonsequencers, a familiarity with sequence analysis software can be important. For instance, gene sequences already present in the databases can be extremely useful in the design of cloning and genetic manipulation experiments. This two-part work on Computer Analysis of Sequence Data is designed to be a practical aid to the researcher who uses computers for the acquisition, storage, or analysis of nucleic acid (and/or pro tein) sequences. Each chapter is written such that a competent scien tist with basic computer literacy can carry out the procedure successfully at the first attempt by simply following the detailed prac tical instructions that have been described by the author. A Notes section, which is included at the end of each chapter, provides advice on overcoming the common problems and pitfalls sometimes encoun tered by users of the sequence analysis software.
Author: A. Pott
Publisher: Springer Science & Business Media
ISBN: 9780792359593
Category : Mathematics
Languages : en
Pages : 460
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Book Description
The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.
