Mathematica Scandinavica

Author : Anonim
Publisher : Unknown
Page : 336 pages
File Size : 48,9 Mb
Release : 2008
Category : Electronic journals
ISBN : UCSD:31822036923951

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Mathematica Scandinavica by Anonim Pdf

Author : George Metcalfe,Francesco Paoli,Constantine Tsinakis
Publisher : American Mathematical Society
Page : 282 pages
File Size : 50,6 Mb
Release : 2023-11-06
Category : Mathematics
ISBN : 9781470469856

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Residuated Structures in Algebra and Logic by George Metcalfe,Francesco Paoli,Constantine Tsinakis Pdf

This book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well-studied structures from classical abstract algebra such as lattice-ordered groups and ideals of rings, as well as structures serving as algebraic semantics for substructural and other non-classical logics. Crucially, classes of these structures are studied both algebraically, yielding a rich structure theory along the lines of Conrad's program for lattice-ordered groups, and algorithmically, via analytic sequent or hypersequent calculi. These perspectives are related using a natural notion of equivalence for consequence relations that provides a bridge offering benefits to both sides. Algorithmic methods are used to establish properties like decidability, amalgamation, and generation by subclasses, while new insights into logical systems are obtained by studying associated classes of structures. The book is designed to serve the purposes of novices and experts alike. The first three chapters provide a gentle introduction to the subject, while subsequent chapters provide a state-of-the-art account of recent developments in the field.

Author : Christian Schultz,Karl Vind
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 47,5 Mb
Release : 2006-04-22
Category : Business & Economics
ISBN : 9783540281610

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Institutions, Equilibria and Efficiency by Christian Schultz,Karl Vind Pdf

Competition and efficiency is at the core of economic theory. This volume collects papers of leading scholars, which extend the conventional general equilibrium model in important ways: Efficiency and price regulation are studied when markets are incomplete and existence of equilibria in such settings is proven under very general preference assumptions. The model is extended to include geographical location choice, a commodity space incorporating manufacturing imprecision and preferences for club-membership, schools and firms. Inefficiencies arising from household externalities or group membership are evaluated. Core equivalence is shown for bargaining economies. The theory of risk aversion is extended and the relation between risk taking and wealth is experimentally investigated. Other topics include determinacy in OLG with cash-in-advance constraints, income distribution and democracy in OLG, learning in OLG and in games, optimal pricing of derivative securities, the impact of heterogeneity at the individual level for aggregate consumption, and adaptive contracting in view of uncertainty.

Author : Serban Stratila
Publisher : Cambridge University Press
Page : 461 pages
File Size : 41,7 Mb
Release : 2020-12-03
Category : Mathematics
ISBN : 9781108489607

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Modular Theory in Operator Algebras by Serban Stratila Pdf

The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsid ) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.

Author : Franco Montagna
Publisher : Springer
Page : 318 pages
File Size : 49,5 Mb
Release : 2014-09-23
Category : Mathematics
ISBN : 9783319062334

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Petr Hájek on Mathematical Fuzzy Logic by Franco Montagna Pdf

This volume celebrates the work of Petr Hájek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hájek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hájek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic. Articles in the volume also focus on the treatment of vagueness, building connections between Hájek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprisingly strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles. Other articles, with an algebraic flavour, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication. The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hájek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides offering unexpected premises such as proposing to call Hájek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hájek in the context of fuzzy logic.

Author : Serban-Valentin Stratila,Laszlo Zsido
Publisher : Cambridge University Press
Page : 442 pages
File Size : 50,9 Mb
Release : 2019-05-09
Category : Mathematics
ISBN : 9781108750226

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Lectures on von Neumann Algebras by Serban-Valentin Stratila,Laszlo Zsido Pdf

Written in lucid language, this valuable text discusses fundamental concepts of von Neumann algebras including bounded linear operators in Hilbert spaces, finite von Neumann algebras, linear forms on algebra of operators, geometry of projections and classification of von Neumann algebras in an easy to understand manner. The revised text covers new material including the first two examples of factors of type II^1, an example of factor of type III and theorems for von Neumann algebras with a cyclic and separating vector. Pedagogical features including solved problems and exercises are interspersed throughout the book.

Author : Nikolaos Galatos,Kazushige Terui
Publisher : Springer Nature
Page : 382 pages
File Size : 53,6 Mb
Release : 2021-12-13
Category : Philosophy
ISBN : 9783030769208

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Hiroakira Ono on Substructural Logics by Nikolaos Galatos,Kazushige Terui Pdf

This volume is dedicated to Hiroakira Ono life’s work on substructural logics. Chapters, written by well-established academics, cover topics related to universal algebra, algebraic logic and the Full Lambek calculus; the book includes a short biography about Hiroakira Ono. The book starts with detailed surveys on universal algebra, abstract algebraic logic, topological dualities, and connections to computer science. It further contains specialised contributions on connections to formal languages (recognizability in residuated lattices and connections to the finite embedding property), covering systems for modal substructural logics, results on the existence and disjunction properties and finally a study of conservativity of expansions. This book will be primarily of interest to researchers working in algebraic and non-classical logic.

Author : Șerban Strătilă,Laszlo Zsido
Publisher : Cambridge University Press
Page : 441 pages
File Size : 42,7 Mb
Release : 2019-05-09
Category : Mathematics
ISBN : 9781108496841

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Lectures on von Neumann Algebras by Șerban Strătilă,Laszlo Zsido Pdf

The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.

Author : John Voight
Publisher : Springer Nature
Page : 877 pages
File Size : 48,6 Mb
Release : 2021-06-28
Category : Mathematics
ISBN : 9783030566944

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Quaternion Algebras by John Voight Pdf

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.

Author : Janusz Czelakowski
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 40,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401728072

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Protoalgebraic Logics by Janusz Czelakowski Pdf

The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].

Author : Petko Valtchev,Robert Jäschke
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 48,7 Mb
Release : 2011-04-26
Category : Computers
ISBN : 9783642205132

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Formal Concept Analysis by Petko Valtchev,Robert Jäschke Pdf

This book constitutes the refereed proceedings of the 9th International Conference on Formal Concept Analysis, ICFCA 2011, held in Nicosia, Cyprus, in May 2011. The 16 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 49 submissions. The central theme was the mathematical formalization of concept and conceptual hierarchy. The field has developed into a constantly growing research area in its own right with a thriving theoretical community and an increasing number of applications in data and knowledge processing including disciplines such as data visualization, information retrieval, machine learning, software engineering, data analysis, data mining, social networks analysis, etc.

Author : M. Balaban
Publisher : Springer Science & Business Media
Page : 653 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Language Arts & Disciplines
ISBN : 9789400998636

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Scientific Information Transfer: The Editor’s Role by M. Balaban Pdf

It was Faraday who in 1821 said that there are three necessary stages of useful research. The first to begin it, the second to· end it, and the third 1 to publish it. There has since indeed been so much research and publication that we have become increasingly alarmed by the galloping proliferation of scientific information produced in relation to the user's ability to retrieve and consume it effectively, conveniently and creatively. In 1948, to deal with this concern, the Royal Society Scientific Infor 1 mation Conference held in London spanned the whole realm of scientific in formation. Sir Robert Robinson, President of the Royal Society, in his open ing address noted that "the study of scientific information services in all its ramifications has enormous scope", and the London conference dealt with scientific publication, format, editorial policy, subject grouping, organiza tion, abstracting, reviews, classification, indexing and training of infor mation officers. It was about this time that information science began to develop more on the retrieval end, so it seems logical that the first editors' group founded in 1949 was ICSU AB, the International Council of Scientific Unions Abstract ing Board. In 1958 the National Academy of Sciences International Conference of 2 Scientific Information in Washington limited its interests and expanded on the later phases of the life cycle of information - storage and retrieval.

Author : National Institute of Standards and Technology (U.S.)
Publisher : Unknown
Page : 268 pages
File Size : 42,7 Mb
Release : 2002
Category : Engineering
ISBN : UIUC:30112065973171

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NIST Serial Holdings by National Institute of Standards and Technology (U.S.) Pdf

Author : Juha Heinonen,Tero Kipelainen,Olli Martio
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 50,9 Mb
Release : 2018-05-16
Category : Mathematics
ISBN : 9780486824253

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Nonlinear Potential Theory of Degenerate Elliptic Equations by Juha Heinonen,Tero Kipelainen,Olli Martio Pdf

A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.

Author : Anonim
Publisher : Unknown
Page : 264 pages
File Size : 43,6 Mb
Release : 1990
Category : Electronic
ISBN : UCSC:32106020886492

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NIST Serial Holdings, 1990 by Anonim Pdf