Basic Posets

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Publisher : World Scientific
ISBN 13 : 9789810235895
Total Pages : 192 pages
Book Rating : 4.2/5 (358 download)

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Book Synopsis Basic Posets by : J. Neggers

Download or read book Basic Posets written by J. Neggers and published by World Scientific. This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hassle diagram to build graphical intuition for the structure of finite posits. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.

Basic Posets

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Author :
Publisher : World Scientific
ISBN 13 : 9814495743
Total Pages : 188 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Basic Posets by : Sik Kim Hee

Download or read book Basic Posets written by Sik Kim Hee and published by World Scientific. This book was released on 1998-10-30 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in a rather informal manner, with interesting examples and computations, which rely on the Hasse diagram to build graphical intuition for the structure of finite posets. The proofs of a small number of theorems is included in the appendix. Important examples especially the Letter N poset, which plays a role akin to that of the Petersen graph in providing a candidate counterexample to many propositions, are used repeatedly throughout the text.

Logical Foundations of Computer Science

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Publisher : Springer Science & Business Media
ISBN 13 : 3540926860
Total Pages : 478 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov

Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer Science & Business Media. This book was released on 2009-02-13 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2009, held in Deerfield Beach, Florida, USA in January 2008. The volume presents 31 revised refereed papers carefully selected by the program committee. All current aspects of logic in computer science are addressed, including constructive mathematics and type theory, logical foundations of programming, logical aspects of computational complexity, logic programming and constraints, automated deduction and interactive theorem proving, logical methods in protocol and program verification and in program specification and extraction, domain theory logics, logical foundations of database theory, equational logic and term rewriting, lambda and combinatory calculi, categorical logic and topological semantics, linear logic, epistemic and temporal logics, intelligent and multiple agent system logics, logics of proof and justification, nonmonotonic reasoning, logic in game theory and social software, logic of hybrid systems, distributed system logics, system design logics, as well as other logics in computer science.

Partial Order Concepts in Applied Sciences

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Publisher : Springer
ISBN 13 : 3319454218
Total Pages : 305 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Partial Order Concepts in Applied Sciences by : Marco Fattore

Download or read book Partial Order Concepts in Applied Sciences written by Marco Fattore and published by Springer. This book was released on 2016-12-22 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: TThis book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest. In recent years, its effectiveness as a tool for data analysis is increasingly being realized and many applications of partially ordered sets to real problems in statistics and applied sciences have appeared. Main examples pertain to the analysis of complex and multidimensional systems of ordinal data and to problems of multi-criteria decision making, so relevant in social and environmental sciences. Partial Order Concepts in Applied Sciences presents new theoretical and methodological developments in partial order for data analysis, together with a wide range of applications to different topics: multidimensional poverty, economic development, inequality measurement, ecology and pollution, and biology, to mention a few. The book is of interest for applied mathematicians, statisticians, social scientists, environmental scientists and all those aiming at keeping pace with innovation in this interesting, growing and promising research field.

Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications

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Publisher : Springer
ISBN 13 : 3319655450
Total Pages : 360 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications by : Krassimir T. Atanassov

Download or read book Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications written by Krassimir T. Atanassov and published by Springer. This book was released on 2017-10-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected papers from two important conferences held on October 12–14, 2016 in Warsaw, Poland: the Fourteenth National Conference of Operational and Systems Research, BOS-2016, one of the premiere conferences in the field of operational and systems research not only in Poland but also at the European level; and the Fifteenth International Workshop on Intuitionistic Fuzzy Sets and General Nets, IWIFSGN-2016, one of the foremost conferences on fuzzy logic, notably addressing extensions of the traditional fuzzy sets, as well as the Generalized Nets (GNs), a powerful extension of the traditional Petri net paradigm. The scope of the BOS con ferences includes all types of problems related to systems modeling, systems analysis, broadly perceived operational research, optimization, decision making, and decision support, to name but a few. In all these areas, virtually all models used have to take into account not only uncertainty in its traditional sense, but also imprecision of information. That is, in addition to traditional probabilistic and statistical tools and techniques, the use of methods based on fuzzy sets can also be sensible. Even more so, employing certain extensions of the classic concept of a fuzzy set can be very useful. Applying intuitionistic fuzzy sets, which are at the core of the IWIFSGN conferences, is a good example. Both conferences, BOS-2016 and IWIFSGN-2016, offered ideal venues for the exchange of ideas, cross-fertilization, and mutual inspiration.

Linear Representations of Partially Ordered Sets and Vector Space Categories

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Publisher : CRC Press
ISBN 13 : 9782881248283
Total Pages : 516 pages
Book Rating : 4.2/5 (482 download)

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Book Synopsis Linear Representations of Partially Ordered Sets and Vector Space Categories by : Daniel Simson

Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.

Programming Languages with Applications to Biology and Security

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Publisher : Springer
ISBN 13 : 3319255274
Total Pages : 386 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Programming Languages with Applications to Biology and Security by : Chiara Bodei

Download or read book Programming Languages with Applications to Biology and Security written by Chiara Bodei and published by Springer. This book was released on 2015-10-07 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume is published in honor of Pierpaolo Degano on the occasion of his 65th birthday and is the outcome of a colloquium held in Pisa, Italy, in June 2015. Pierpaolo Degano has worked on a large variety of topics including formal program semantics, concurrency theory, systems biology and security. The volume contains 22 refereed papers and one extended abstract, including personal memoirs and regular research papers by close collaborators and friends and a laudatio illustrating his distinguished career and his main scientific contributions. The papers deal with the main research topics explored by Pierpaolo Degano and those still under his investigation.

Mathematical Foundations of Computer Science 2013

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Publisher : Springer
ISBN 13 : 3642403131
Total Pages : 869 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Mathematical Foundations of Computer Science 2013 by : Krishnendu Chatterjee

Download or read book Mathematical Foundations of Computer Science 2013 written by Krishnendu Chatterjee and published by Springer. This book was released on 2013-08-16 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed conference proceedings of the 38th International Symposium on Mathematical Foundations of Computer Science, MFCS 2013, held in Klosterneuburg, Austria, in August 2013. The 67 revised full papers presented together with six invited talks were carefully selected from 191 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.

Algorithms and Order

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Publisher : Springer Science & Business Media
ISBN 13 : 9400926391
Total Pages : 491 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Algorithms and Order by : Ivan Rival

Download or read book Algorithms and Order written by Ivan Rival and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the texts of the principal survey papers presented at ALGORITHMS -and ORDER, held· at Ottawa, Canada from June 1 to June 12, 1987. The conference was supported by grants from the N.A.T.O. Advanced Study Institute programme, the University of Ottawa, and the Natural Sciences and Engineering Research Council of Canada. We are grateful for this considerable support. Over fifty years ago, the Symposium on Lattice Theory, in Charlottesville, U.S.A., proclaimed the vitality of ordered sets. Only twenty years later the Symposium on Partially Ordered Sets and Lattice Theory, held at Monterey, U.S.A., had solved many of the problems that had been originally posed. In 1981, the Symposium on Ordered Sets held at Banff, Canada, continued this tradition. It was marked by a landmark volume containing twenty-three articles on almost all current topics in the theory of ordered sets and its applications. Three years after, Graphs and Orders, also held at Banff, Canada, aimed to document the role of graphs in the theory of ordered sets and its applications. Because of its special place in the landscape of the mathematical sciences order is especially sensitive to new trends and developments. Today, the most important current in the theory and application of order springs from theoretical computer seience. Two themes of computer science lead the way. The first is data structure. Order is common to data structures.

Numbers, Information and Complexity

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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.

Partial Order in Environmental Sciences and Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 3540339701
Total Pages : 404 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Partial Order in Environmental Sciences and Chemistry by : Rainer Brüggemann

Download or read book Partial Order in Environmental Sciences and Chemistry written by Rainer Brüggemann and published by Springer Science & Business Media. This book was released on 2006-08-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the theory and practice of order relations in such a way that no specific mathematical skill is needed to understand the advantages of this algebraization. It acts as a primer in a mathematical technique which is useful in many expanding disciplines, like genomics, techniques of decision support, and sustainability. This book is recommended to those who are interested in the interface between sciences and management.

Poset Codes: Partial Orders, Metrics and Coding Theory

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Publisher : Springer
ISBN 13 : 3319938215
Total Pages : 133 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Poset Codes: Partial Orders, Metrics and Coding Theory by : Marcelo Firer

Download or read book Poset Codes: Partial Orders, Metrics and Coding Theory written by Marcelo Firer and published by Springer. This book was released on 2018-11-01 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. Poset metrics generalizes both the standard Hamming metric – the most important metric used in the context of coding theory – and the Niederreiter-Rosenbloom-Tsfasman metric, which is an ultrametric. Conceived to be as self-contained as possible, the book starts from basic concepts of coding theory and advances towards coding theory for poset metrics and generalizations. Each chapter includes a survey of the topic presented and a list of exercises, drawn in part from recently proven results. This work will appeal to researchers and graduate students alike, particularly those in the fields of Mathematics, Electrical Engineering and Computer Sciences, with an interest in discrete geometry and coding theory.

Handbook of Set Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1402057644
Total Pages : 2200 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Set Theory by : Matthew Foreman

Download or read book Handbook of Set Theory written by Matthew Foreman and published by Springer Science & Business Media. This book was released on 2009-12-10 with total page 2200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.

Subgroup Complexes

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805010
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Subgroup Complexes by : Stephen D. Smith

Download or read book Subgroup Complexes written by Stephen D. Smith and published by American Mathematical Soc.. This book was released on 2011-11-10 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from $p$-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and $G$-equivariant equivalences and homology for subgroup complexes.

Theory and Formal Methods 1993

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Publisher : Springer Science & Business Media
ISBN 13 : 1447135032
Total Pages : 333 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Theory and Formal Methods 1993 by : Geoffrey Burn

Download or read book Theory and Formal Methods 1993 written by Geoffrey Burn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the fIrst workshop held by the Theory and Formal Methods Section ofthe Imperial College Department of Computing. It contains papers from almost every member of the Section, from our long-term academic visitors, and from those who have recently left us. The papers fall into four broad areas: • semantics • concurrency • logic • specification with some papers spanning a number of disciplines. The subject material varies from work on mathematical foundations to practical applications of this theory, expressing the Section's commitment to both the foundations of computer science, and the application of theory to real computing problems. In preparing the workshop and these proceedings, care was taken to ensure that there were papers overviewing a field, as well as ones whose primary aim was to present new scientifIc results. This had a dual purpose: to bring our Section members up to speed in some of the areas being worked on by the Section; and to provide the reader of the proceedings not only with a good introduction to many of the specifIc areas being investigated by the Section, but also with details of some of our latest results. All the papers presented at the workshop were revised following comments made by the workshop participants, and all were subsequently reviewed by at least two people before producing the fInal versions contained in this volume.

Algebra

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Publisher : Springer
ISBN 13 : 3319197347
Total Pages : 551 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Algebra by : Ernest Shult

Download or read book Algebra written by Ernest Shult and published by Springer. This book was released on 2015-07-14 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.

Logic, Computation, Hierarchies

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1614518041
Total Pages : 424 pages
Book Rating : 4.6/5 (145 download)

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Book Synopsis Logic, Computation, Hierarchies by : Vasco Brattka

Download or read book Logic, Computation, Hierarchies written by Vasco Brattka and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-09-04 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.