Diskrete Strukturen

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General Theory of Information Transfer and Combinatorics

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
ISBN 13 : 3540462449
Total Pages : 1138 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis General Theory of Information Transfer and Combinatorics by : Rudolf Ahlswede

Download or read book General Theory of Information Transfer and Combinatorics written by Rudolf Ahlswede and published by Springer Science & Business Media. This book was released on 2006-12-14 with total page 1138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.

Numbers, Information and Complexity

Author : Ingo Althöfer
Publisher : Springer Science & Business Media
ISBN 13 : 1475760485
Total Pages : 659 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Numbers, Information and Complexity by : Ingo Althöfer

Download or read book Numbers, Information and Complexity written by Ingo Althöfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers, Information and Complexity is a collection of about 50 articles in honour of Rudolf Ahlswede. His main areas of research are represented in the three sections, `Numbers and Combinations', `Information Theory (Channels and Networks, Combinatorial and Algebraic Coding, Cryptology, with the related fields Data Compression, Entropy Theory, Symbolic Dynamics, Probability and Statistics)', and `Complexity'. Special attention was paid to the interplay between the fields. Surveys on topics of current interest are included as well as new research results. The book features surveys on Combinatorics about topics such as intersection theorems, which are not yet covered in textbooks, several contributions by leading experts in data compression, and relations to Natural Sciences are discussed.

Diskrete Strukturen

Author : Angelika Steger
Publisher : Springer
ISBN 13 : 9783540466604
Total Pages : 270 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Diskrete Strukturen by : Angelika Steger

Download or read book Diskrete Strukturen written by Angelika Steger and published by Springer. This book was released on 2007-09-13 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Lehrbuch umfaßt Themen, die mittlerweile an vielen Universitäten unter dem Titel "Diskrete Strukturen" fester Bestandteil des Informatik-Grundstudiums sind. Die Autorin legt in ihrer Darstellung neben der mathematischen Exaktheit besonderen Wert darauf, das intuitive Verständnis zu fördern. Ihr didaktischer Ansatz hilft Studenten dabei, den Stoff leichter zu verstehen und einzuordnen. Zahlreiche Beispiele und Aufgaben, vorwiegend aus dem Bereich der Informatik, unterstützen ihr Anliegen. Die Themen: Kombinatorik, Graphentheorie, algorithmische Grundprinzipien, Rekursionsgleichungen, Algebra.

Diskrete Strukturen

Author : Angelika Steger
Publisher : Springer DE
ISBN 13 : 9783540675976
Total Pages : 254 pages
Book Rating : 4.6/5 (759 download)

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Book Synopsis Diskrete Strukturen by : Angelika Steger

Download or read book Diskrete Strukturen written by Angelika Steger and published by Springer DE. This book was released on 2001 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Lehrbuch umfaAt einen Kanon von Themen, der an vielen UniversitAten unter dem Titel "Diskrete Strukturen" fester Bestandteil des Informatik-Grundstudiums geworden ist. Bei der Darstellung wird neben der mathematischen Exaktheit besonderer Wert darauf gelegt, auch das intuitive VerstAndnis zu fArdern, um so das Verstehen und Einordnen des Stoffs zu erleichtern. UnterstA1/4tzt wird dies durch zahlreiche Beispiele und Aufgaben, vorwiegend aus dem Bereich der Informatik. Das Lehrbuch basiert auf Vorlesungen, die seit mehreren Jahren an der Technischen UniversitAt MA1/4nchen gehalten werden. Themen: Kombinatorik, Graphentheorie, Algorithmische Grundprinzipien, Rekursionsgleichungen, Algebra.

Combinatorics, Geometry and Probability

Author : Béla Bollobás
Publisher : Cambridge University Press
ISBN 13 : 9780521584722
Total Pages : 588 pages
Book Rating : 4.5/5 (847 download)

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Book Synopsis Combinatorics, Geometry and Probability by : Béla Bollobás

Download or read book Combinatorics, Geometry and Probability written by Béla Bollobás and published by Cambridge University Press. This book was released on 1997-05-22 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panorama of combinatorics by the world's experts.

The Mathematics of Paul Erdős I

Author : Ronald L. Graham
Publisher : Springer Science & Business Media
ISBN 13 : 146147258X
Total Pages : 564 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Mathematics of Paul Erdős I by : Ronald L. Graham

Download or read book The Mathematics of Paul Erdős I written by Ronald L. Graham and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdős, and an updated list of publications. The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdős by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdős' favorite geometry problems.

The Mathematics of Paul Erdös I

Author : Ronald Lewis Graham
Publisher : Springer Science & Business Media
ISBN 13 : 3642604080
Total Pages : 413 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Mathematics of Paul Erdös I by : Ronald Lewis Graham

Download or read book The Mathematics of Paul Erdös I written by Ronald Lewis Graham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin guished group of researchers with interests spanning a variety of fields related to Erdos' own work. At that gathering, the idea occurred to several of us that it might be quite appropriate at this point in Erdos' career to solicit a col lection of articles illustrating various aspects of Erdos' mathematical life and work. The response to our solicitation was immediate and overwhelming, and these volumes are the result. Regarding the organization, we found it convenient to arrange the papers into six chapters, each mirroring Erdos' holistic approach to mathematics. Our goal was not merely a (random) collection of papers but rather a thor oughly edited volume composed in large part by articles explicitly solicited to illustrate interesting aspects of Erdos and his life and work. Each chap ter includes an introduction which often presents a sample of related ErdOs' problems "in his own words". All these (sometimes lengthy) introductions were written jointly by editors. We wish to thank the nearly 70 contributors for their outstanding efforts (and their patience). In particular, we are grateful to Bela Bollobas for his extensive documentation of Paul Erdos' early years and mathematical high points (in the first part of this volume); our other authors are acknowledged in their respective chapters. We also want to thank A. Bondy, G. Hahn, I.

Games of No Chance 3

Author : Michael H. Albert
Publisher : Cambridge University Press
ISBN 13 : 0521861349
Total Pages : 577 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Games of No Chance 3 by : Michael H. Albert

Download or read book Games of No Chance 3 written by Michael H. Albert and published by Cambridge University Press. This book was released on 2009-05-29 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.

Probabilistic Methods and Distributed Information

Author : Rudolf Ahlswede
Publisher : Springer
ISBN 13 : 3030003124
Total Pages : 581 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Probabilistic Methods and Distributed Information by : Rudolf Ahlswede

Download or read book Probabilistic Methods and Distributed Information written by Rudolf Ahlswede and published by Springer. This book was released on 2018-12-31 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume of Rudolf Ahlswede’s lectures on Information Theory focuses on several problems that were at the heart of a lot of his research. One of the highlights of the entire lecture note series is surely Part I of this volume on arbitrarily varying channels (AVC), a subject in which Ahlswede was probably the world's leading expert. Appended to Part I is a survey by Holger Boche and Ahmed Mansour on recent results concerning AVC and arbitrarily varying wiretap channels (AVWC). After a short Part II on continuous data compression, Part III, the longest part of the book, is devoted to distributed information. This Part includes discussions on a variety of related topics; among them let us emphasize two which are famously associated with Ahlswede: "multiple descriptions", on which he produced some of the best research worldwide, and "network coding", which had Ahlswede among the authors of its pioneering paper. The final Part IV on "Statistical Inference under Communication constraints" is mainly based on Ahlswede’s joint paper with Imre Csiszar, which received the Best Paper Award of the IEEE Information Theory Society. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used either as the basis for courses or to supplement them in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Lectures on Polytopes

Author : Günter M. Ziegler
Publisher : Springer Science & Business Media
ISBN 13 : 1461384311
Total Pages : 347 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Lectures on Polytopes by : Günter M. Ziegler

Download or read book Lectures on Polytopes written by Günter M. Ziegler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.

eWork and eBusiness in Architecture, Engineering and Construction

Author : Alain Zarli
Publisher : CRC Press
ISBN 13 : 0203883322
Total Pages : 752 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis eWork and eBusiness in Architecture, Engineering and Construction by : Alain Zarli

Download or read book eWork and eBusiness in Architecture, Engineering and Construction written by Alain Zarli and published by CRC Press. This book was released on 2008-09-03 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1994, the European Conference on Product and Process Modelling (www.ecppm.org) has been providing a review of research, development and industrial implementation of product and process model technology in construction. The 7th European Conference on Product and Process Modelling (ECPPM 2008) provided a unique discussion platform for topics of

Linear Operators and Matrices

Author : Israel Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034881819
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear Operators and Matrices by : Israel Gohberg

Download or read book Linear Operators and Matrices written by Israel Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: In September 1998, during the 'International Workshop on Analysis and Vibrat ing Systems' held in Canmore, Alberta, Canada, it was decided by a group of participants to honour Peter Lancaster on the occasion of his 70th birthday with a volume in the series 'Operator Theory: Advances and Applications'. Friends and colleagues responded enthusiastically to this proposal and within a short time we put together the volume which is now presented to the reader. Regarding accep tance of papers we followed the usual rules of the journal 'Integral Equations and Operator Theory'. The papers are dedicated to different problems in matrix and operator theory, especially to the areas in which Peter contributed so richly. At our request, Peter agreed to write an autobiographical paper, which appears at the beginning of the volume. It continues with the list of Peter's publications. We believe that this volume will pay tribute to Peter on his outstanding achievements in different areas of mathematics. 1. Gohberg, H. Langer P ter Lancast r *1929 Operator Theory: Advances and Applications, Vol. 130, 1- 7 © 2001 Birkhiiuser Verlag Basel/Switzerland My Life and Mathematics Peter Lancaster I was born in Appleby, a small county town in the north of England, on November 14th, 1929. I had two older brothers and was to have one younger sister. My family moved around the north of England as my father's work in an insurance company required.

Quantum Information Theory

Author : Masahito Hayashi
Publisher : Springer
ISBN 13 : 3662497255
Total Pages : 672 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Quantum Information Theory by : Masahito Hayashi

Download or read book Quantum Information Theory written by Masahito Hayashi and published by Springer. This book was released on 2016-11-03 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

Lectures on Advances in Combinatorics

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
ISBN 13 : 3540786023
Total Pages : 324 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lectures on Advances in Combinatorics by : Rudolf Ahlswede

Download or read book Lectures on Advances in Combinatorics written by Rudolf Ahlswede and published by Springer Science & Business Media. This book was released on 2008-05-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatorial nature, and “Problems and Conjectures” on pages 172–173 of [E].

Information—Consciousness—Reality

Author : James B. Glattfelder
Publisher : Springer
ISBN 13 : 3030036332
Total Pages : 673 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Information—Consciousness—Reality by : James B. Glattfelder

Download or read book Information—Consciousness—Reality written by James B. Glattfelder and published by Springer. This book was released on 2019-04-10 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.

Linear Algebra for Control Theory

Author : Paul Van Dooren
Publisher : Springer Science & Business Media
ISBN 13 : 1461384192
Total Pages : 203 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Linear Algebra for Control Theory by : Paul Van Dooren

Download or read book Linear Algebra for Control Theory written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra. This book is suitable for both mathematicians and students.

Combinatorial Pattern Matching

Author : Ricardo Baeza-Yates
Publisher : Springer
ISBN 13 : 3540448888
Total Pages : 412 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Combinatorial Pattern Matching by : Ricardo Baeza-Yates

Download or read book Combinatorial Pattern Matching written by Ricardo Baeza-Yates and published by Springer. This book was released on 2007-03-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 14th Annual Symposium on Combinatorial Pattern Matching, CPM 2003, held in Morelia, Michoacán, Mexico in June 2003. The 28 revised full papers presented were carefully reviewed and selected from 57 submissions. The papers are devoted to current theoretical and computational aspects of searching and matching strings and more complicated patterns, such as trees, regular expressions, graphs, point sets, and arrays. Among the application fields addressed are computational biology, bioinformatics, genomics, the Web, data compression, coding, multimedia, information retrieval, pattern recognition, and computer vision.