Combinatorics and number theory of counting sequences, Mezo, Istvan
Автор: Renato M. Capocelli Название: Sequences ISBN: 1461279771 ISBN-13(EAN): 9781461279778 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Cai, Tianxin (zhejiang Univ, China) Название: Perfect numbers and fibonacci sequences ISBN: 9811244073 ISBN-13(EAN): 9789811244070 Издательство: World Scientific Publishing Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.
Автор: Val?rie Berth?; Michel Rigo Название: Sequences, Groups, and Number Theory ISBN: 3030098745 ISBN-13(EAN): 9783030098742 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups.
This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Описание: Readers will learn how to automatically prove or disprove new results in combinatorics and number theory in milliseconds by phrasing their desired results in first-order logic and using free software to automate the computation process. Containing more than 150 exercises, this text is an ideal resource for students and researchers.
Автор: Renato Capocelli; Alfredo DeSantis; Ugo Vaccaro Название: Sequences II ISBN: 1461393256 ISBN-13(EAN): 9781461393252 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains all papers presented at the workshop "Sequences '91: Methods in Communication, Security and Computer Science," which was held Monday, June 17, through Friday, June 21, 1991, at the Hotel Covo dei Saraceni, Positano, ltaly. The event was sponsored by the Dipartimento di Informatica ed Applicazioni of the University of Salerno and by the Dipartimento di Matematica of the University of Rome. We wish to express our warmest thanks to the members of the program Committee: Professor B. Bose, Professor S. Even, Professor Z. Galil, Professor A. Lempel, Professor J. Massey, Professor D. Perrin, and Professor J. Storer. Furthermore, Professor Luisa Gargano provided effective, ceaseless help both during the organization of the workshop and during the preparation of this vol- ume. Finally, we would like to express our sincere gratitude to all participants of the Workshop. R. M. C. A. D. S. U. V. Salerno, December 1991 Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Vll Contributors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Xill Communication On the Enumeration of Dyadic Distributions I. F. Blake, GH. Freeman, and P. R. Stubley . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Detection of Skew in a Sequence of Subsets M. Blaum and J. Bruck . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Asymmetric Error Correcting Codes B. Bose and S. Cunningham . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Binary Perfect Weighted Coverings (PWC) GoO. Cohen, S. N. Litsyn, and H. F. Mattson, Jr. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Read/Write Isolated Memory M. Cohn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Polynomial-Time Construction of Linear Codes with Almost Equal Weights G. Lachaud and J. Stern . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Welch's Bound and Sequence Sets for Code-Division Multiple-Access Systems J. L. Massey and T. Mittelholzer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Автор: Andrey O. Matveev Название: Farey Sequences: Duality and Maps Between Subsequences ISBN: 3110546620 ISBN-13(EAN): 9783110546620 Издательство: Walter de Gruyter Цена: 18586.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail.
From the Content Basic structural and enumerative properties of Farey sequences, Collective decision making, Committee methods in pattern recognition, Farey duality, Farey sequence, Fundamental Farey subsequences, Monotone bijections between Farey subsequences
Автор: Val?rie Berth?; Michel Rigo Название: Sequences, Groups, and Number Theory ISBN: 3319691511 ISBN-13(EAN): 9783319691510 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups.
This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Автор: Billal Masum, Riasat Samin Название: Integer Sequences: Divisibility, Lucas and Lehmer Sequences ISBN: 9811605696 ISBN-13(EAN): 9789811605697 Издательство: Springer Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on.
Автор: Andrica Dorin, Bagdasar Ovidiu Название: Recurrent Sequences: Key Results, Applications, and Problems ISBN: 3030515044 ISBN-13(EAN): 9783030515041 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.
Автор: Sharir, Micha Agarwal, Pankaj K. Название: Davenport-Schinzel sequences and their geometric applications ISBN: 0521470250 ISBN-13(EAN): 9780521470254 Издательство: Cambridge Academ Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a comprehensive treatment of Davenport-Schinzel sequences, one of the most fundamental and sophisticated tools for solving problems in computational and combinatorial geometry. Applications arise in areas as diverse as robot motion planning, computer graphics and pattern matching.
Автор: Jong-Seon No; Hong-Yeop Song; Tor Helleseth; P. Vi Название: Mathematical Properties of Sequences and Other Combinatorial Structures ISBN: 1461350131 ISBN-13(EAN): 9781461350132 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory.
Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras Название: Weakly Wandering Sequences in Ergodic Theory ISBN: 4431564004 ISBN-13(EAN): 9784431564003 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.
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