Semirings and Affine Equations over Them

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Publisher : Springer Science & Business Media
ISBN 13 : 9401703833
Total Pages : 243 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Semirings and Affine Equations over Them by : Jonathan S. Golan

Download or read book Semirings and Affine Equations over Them written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory, the theory of discrete-event dynamical systems, automata theory, and formal language theory, as well as from the allied areas of theoretical computer science and theoretical physics. Most important applications of semiring theory in these areas turn out to revolve around the problem of finding the equalizer of a pair of affine maps between two semimodules. In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part of a trilogy, along with Semirings and their Applications, and Power Algebras over Semirings, both written by the same author and published by Kluwer Academic Publishers in 1999. While each book can be read independently of the others, to get the full force of the theory and applications one should have access to all three. This work will be of interest to academic and industrial researchers and graduate students. The intent of the book is to bring the applications to the attention of the abstract mathematicians and to make the abstract mathematics available to those who are using these tools in an ad-hoc manner without realizing the full force of the theory.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek

Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).

Positive Systems: Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540403425
Total Pages : 428 pages
Book Rating : 4.4/5 (34 download)

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Book Synopsis Positive Systems: Theory and Applications by : Luca Benvenuti

Download or read book Positive Systems: Theory and Applications written by Luca Benvenuti and published by Springer Science & Business Media. This book was released on 2003-07-25 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the First Multidisciplinary International Symposium on Positive Systems Theory and Applications (POSTA 2003) held in Rome, Italy, August 28-30, 2003. Positive Systems are systems in which the relevant variables assume nonnegative values. These systems are quite common in applications where variables represent positive quantities such as populations, goods, money, time, data packets flowing in a network, densities of chemical species, probabilities, etc. The aim of the symposium was to join together researchers working in the different areas related to positive systems such as telecommunications, economy, biomedicine, chemistry and physics in order to provide a multidisciplinary forum where they have the opportunity to exchange ideas and compare results in a unifying framework.

Developments in Language Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540404341
Total Pages : 448 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Developments in Language Theory by : Zoltán Ésik

Download or read book Developments in Language Theory written by Zoltán Ésik and published by Springer Science & Business Media. This book was released on 2003-06-20 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Developments in Language Theory, DLT 2003, held in Szeged, Hungary, in July 2003. The 27 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 57 submissions. All current aspects in language theory are addressed, in particular grammars, acceptors, and transducers for strings, trees, graphs, arrays, etc; algebraic theories for automata and languages; combinatorial properties of words and languages; formal power series; decision problems; efficient algorithms for automata and languages; and relations to complexity theory and logic, picture description and analysis, DNA computing, quantum computing, cryptography, and concurrency.

Handbook of Linear Algebra, Second Edition

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Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Linear Algebra, Second Edition by : Leslie Hogben

Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.

Idempotent Mathematics and Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821835386
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Idempotent Mathematics and Mathematical Physics by : Grigoriĭ Lazarevich Litvinov

Download or read book Idempotent Mathematics and Mathematical Physics written by Grigoriĭ Lazarevich Litvinov and published by American Mathematical Soc.. This book was released on 2005 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrodinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics.

Tropical and Idempotent Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847821
Total Pages : 395 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Tropical and Idempotent Mathematics by : Grigoriĭ Lazarevich Litvinov

Download or read book Tropical and Idempotent Mathematics written by Grigoriĭ Lazarevich Litvinov and published by American Mathematical Soc.. This book was released on 2009 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade. Tropical mathematics can be viewed as a result of the Maslov dequantization applied to 'traditional' mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.

International Workshop on Discrete Event Systems

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis International Workshop on Discrete Event Systems by : Institution of Electrical Engineers

Download or read book International Workshop on Discrete Event Systems written by Institution of Electrical Engineers and published by . This book was released on 1996 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

STACS 97

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540626169
Total Pages : 638 pages
Book Rating : 4.6/5 (261 download)

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Book Synopsis STACS 97 by : Rüdiger Reischuk

Download or read book STACS 97 written by Rüdiger Reischuk and published by Springer Science & Business Media. This book was released on 1997-02-21 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Annual Symposium on Theoretical Aspects of Computer Science, STACS 97, held in Lübeck, Germany, in February/March 1997. The 46 revised full papers included were carefully selected from a total of 139 submissions; also included are three invited full papers. The papers presented span the whole scope of theoretical computer science. Among the topics covered are, in particular, algorithms and data structures, computational complexity, automata and formal languages, structural complexity, parallel and distributed systems, parallel algorithms, semantics, specification and verification, logic, computational geometry, cryptography, learning and inductive inference.

Handbook of Linear Algebra

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Publisher : CRC Press
ISBN 13 : 1420010573
Total Pages : 1402 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Linear Algebra by : Leslie Hogben

Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2006-11-02 with total page 1402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl

11th International Conference on Analysis and Optimization of Systems

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Publisher : Springer
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 11th International Conference on Analysis and Optimization of Systems by : Guy Cohen

Download or read book 11th International Conference on Analysis and Optimization of Systems written by Guy Cohen and published by Springer. This book was released on 1994 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference, coorganized by INRIA and Ecole des Mines de Paris, focuses on Discrete Event Systems (DES) and is aimed at engineers, scientists and mathematicians working in the fields of Automatic Control, Operations Research and Statistics who are interested in the modelling, analysis and optimization of DES. Various methods such as Automata theory, Petri nets, etc. are proposed to describe and analyze such systems. Comparison of these different mathematical approaches and the global confrontation of theoretical approaches with applications in manufacturing, telecommunications, parallel computing, transportation, etc. are the goals of the conference.

Kybernetika

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Publisher :
ISBN 13 :
Total Pages : 824 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Kybernetika by :

Download or read book Kybernetika written by and published by . This book was released on 2004 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Morphology and Its Applications to Image Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 9401110409
Total Pages : 391 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematical Morphology and Its Applications to Image Processing by : Jean Serra

Download or read book Mathematical Morphology and Its Applications to Image Processing written by Jean Serra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.

Congrès automatique, 1985

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Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.:/5 (25 download)

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Book Synopsis Congrès automatique, 1985 by : Association française pour la cybernétique économique et technique

Download or read book Congrès automatique, 1985 written by Association française pour la cybernétique économique et technique and published by . This book was released on 1985 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Max Plus at Work

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Publisher : Princeton University Press
ISBN 13 : 1400865239
Total Pages : 226 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Max Plus at Work by : Bernd Heidergott

Download or read book Max Plus at Work written by Bernd Heidergott and published by Princeton University Press. This book was released on 2014-09-08 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even systems, and thus can be conveniently described and analyzed by means of max-plus algebra. The book consists of an introduction and thirteen chapters in three parts. Part One explores the introduction of max-plus algebra and of system descriptions based upon it. Part Two deals with a real application, namely the design of timetables for railway networks. Part Three examines various extensions, such as stochastic systems and min-max-plus systems. The text is suitable for last-year undergraduates in mathematics, and each chapter provides exercises, notes, and a reference section.

Analytic Combinatorics in Several Variables

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Publisher : Cambridge University Press
ISBN 13 : 1107031575
Total Pages : 395 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Analytic Combinatorics in Several Variables by : Robin Pemantle

Download or read book Analytic Combinatorics in Several Variables written by Robin Pemantle and published by Cambridge University Press. This book was released on 2013-05-31 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.

From Riemann to Differential Geometry and Relativity

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Publisher : Springer
ISBN 13 : 3319600397
Total Pages : 664 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis From Riemann to Differential Geometry and Relativity by : Lizhen Ji

Download or read book From Riemann to Differential Geometry and Relativity written by Lizhen Ji and published by Springer. This book was released on 2017-10-03 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.