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Date : 2003-07-21
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Rating : 4.5
Reviews : 3
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0521823323
Automatic Sequences Theory Applications Generalizations ~ It fills a real need in the literature of automatic sequences The references and end notes at each chapter conclusion are very useful Basically this book brings together a lot of disparate ideas and forms them into a coherent and well laid out presentation
Automatic Sequences Theory Applications Generalizations ~ This is a book about sequences generated by finite automata and their generalizations with applications to number theory and theoretical physics The chapters are as follows Stringology Basic notions about words and combinatorics on words Number Theory and Algebra The mathematical prerequisites for the rest of the book Numeration Systems
Automatic Sequences Theory Applications Generalizations ~ It is also wellknown that a sequence is kautomatic if and only if it is k m automatic for any integer m so the ThueMorse word is also 4automatic and the sequence dn is 2automatic
AUTOMATIC SEQUENCES THEORY APPLICATIONS GENERALIZATIONS ~ By Jean‐Paul Allouche and Jeffrey Shallit 571 pp £3750 US5000 isbn 0‐521‐82332‐3 Cambridge University Press 2003
Automatic sequences theory applications generalizations ~ The authors apply the theory to the study of automatic sequences and their generalizations such as Sturmian words and kregular sequences And further they provide applications to number theory particularly to formal power series and transcendence in finite characteristic physics computer graphics and music
Automatic Sequences Theory Application Generalizations ~ 0521823323 Automatic Sequences Theory Applications Generalizations JeanPaul Allouche and Jeffrey Shallit Table of Contents More information Contents ix 67 Cobhams Theorem for k lNumeration Systems 187 68 Basic Closure Properties 189 69 Uniform Transduction of Automatic Sequences 192 610Sums of Digits Polynomials and Automatic
Automatic Sequences Theory Applications ~ Find many great new used options and get the best deals for Automatic Sequences Theory Applications Generalizations by JeanPaul Allouche and Jeffrey Shallit 2003 Hardcover at the best online prices at eBay Free shipping for many products
AUTOMATIC SEQUENCES Semantic Scholar ~ 5 Automatic Sequences 152 51 Automatic Sequences 152 52 Robustness of the Automatic Sequence Concept 157 53 TwoSided Automatic Sequences 161 54 Basic Properties of Automatic Sequences 165 55 Nonautomatic Sequences 166 56 kAutomatic Sets 168 57 1Automatic Sequences 169 58 Exercises 170 59 Open Problems 171 510 Notes on Chapter 5 171
Automatic sequence Wikipedia ~ In mathematics and theoretical computer science an automatic sequence also called a kautomatic sequence or a krecognizable sequence when one wants to indicate that the base of the numerals used is k is an infinite sequence of terms characterized by a finite automaton
Review of Automatic Sequences Theory Applications ~ Theory Applications Generalizations by JeanPaul Allouche Jeffrey Shallit The book combines concepts and results from mathematics and computer science related to the generation of sequences by simple computational model called the finite automaton Even a cursory inspection of the book readily reveals its intended audience
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