Issues In General And Specialized Mathematics Research 2011 Edition

Issues in General and Specialized Mathematics Research  2011 Edition PDF Book Detail:
Author:
Publisher: ScholarlyEditions
ISBN: 1464964920
Size: 51.99 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 862
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Book Description: Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Guide To Information Sources In Mathematics And Statistics

Guide to Information Sources in Mathematics and Statistics PDF Book Detail:
Author: Martha A. Tucker
Publisher: Libraries Unlimited
ISBN: 9781563087011
Size: 25.86 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 348
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Book Description: Publisher description: This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These resources are grouped by material type. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. A majority of listed electronic resources are free.

From Christoffel Words To Markoff Numbers

From Christoffel Words to Markoff Numbers PDF Book Detail:
Author: Christophe Reutenauer
Publisher: Oxford University Press, USA
ISBN: 0198827547
Size: 28.12 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 176
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Book Description: In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words. Some years later, Andrey Markoff published his famous theory, the now called Markoff theory. It characterized certain quadratic forms and certain real numbers by extremal inequalities. Both classes are constructed using certain natural numbers known as Markoff numbers and they are characterized by a certain Diophantine equality. More basically, they are constructed using certain words essentially the Christoffel words. The link between Christoffel words and the theory of Markoff was noted by Ferdinand Frobenius in 1913, but has been neglected in recent times. Motivated by this overlooked connection, this book looks to expand on the relationship between these two areas. Part 1 focuses on the classical theory of Markoff, while Part II explores the more advanced and recent results of the theory of Christoffel words.

Formal Languages Automata And Numeration Systems 1

Formal Languages  Automata and Numeration Systems 1 PDF Book Detail:
Author: Michel Rigo
Publisher: John Wiley & Sons
ISBN: 1848216157
Size: 67.59 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 338
View: 6095

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Book Description: Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

Numerical Analysis

Numerical Analysis PDF Book Detail:
Author:
Publisher:
ISBN:
Size: 38.55 MB
Format: PDF, Mobi
Category : Numerical analysis
Languages : en
Pages : 96
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Book Description:

Incidence Geometry

Incidence Geometry PDF Book Detail:
Author:
Publisher:
ISBN:
Size: 68.31 MB
Format: PDF
Category : Geometry, Projective
Languages : en
Pages : 299
View: 6351

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Book Description:

Formal Languages Automata And Numeration Systems 2

Formal Languages  Automata and Numeration Systems 2 PDF Book Detail:
Author: Michel Rigo
Publisher: John Wiley & Sons
ISBN: 1119042860
Size: 31.17 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 246
View: 3941

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Book Description: The interplay between words, computability, algebra andarithmetic has now proved its relevance and fruitfulness. Indeed,the cross-fertilization between formal logic and finite automata(such as that initiated by J.R. Büchi) or betweencombinatorics on words and number theory has paved the way torecent dramatic developments, for example, the transcendenceresults for the real numbers having a “simple” binaryexpansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unifiedexposition. Objects are considered with a perspective that comesboth from theoretical computer science and mathematics. Theoreticalcomputer science offers here topics such as decision problems andrecognizability issues, whereas mathematics offers concepts such asdiscrete dynamical systems. The main goal is to give a quick access, for students andresearchers in mathematics or computer science, to actual researchtopics at the intersection between automata and formal languagetheory, number theory and combinatorics on words. The second of two volumes on this subject, this book coversregular languages, numeration systems, formal methods applied todecidability issues about infinite words and sets of numbers.

Language And Automata Theory And Applications

Language and Automata Theory and Applications PDF Book Detail:
Author: Adrian-Horia Dediu
Publisher: Springer
ISBN: 3642370640
Size: 15.18 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 580
View: 4898

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Book Description: This book constitutes the refereed proceedings of the 7th International Conference on Language and Automata Theory and Applications, LATA 2013, held in Bilbao, Spain in April 2013. The 45 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 97 initial submissions. The volume features contributions from both classical theory fields and application areas (bioinformatics, systems biology, language technology, artificial intelligence, etc.). Among the topics covered are algebraic language theory; algorithms for semi-structured data mining; algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata, concurrency and Petri nets; automatic structures; cellular automata; combinatorics on words; computability; computational complexity; computational linguistics; data and image compression; decidability questions on words and languages; descriptional complexity; DNA and other models of bio-inspired computing; document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammars (Chomsky hierarchy, contextual, multidimensional, unification, categorial, etc.); grammars and automata architectures; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; language-based cryptography; language-theoretic foundations of artificial intelligence and artificial life; parallel and regulated rewriting; parsing; pattern recognition; patterns and codes; power series; quantum, chemical and optical computing; semantics; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; symbolic neural networks; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.