Download or read book Semilattice Structures written by Ivan Chajda and published by . This book was released on 2007 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Structures for Semantics written by Fred Landman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test.

Download or read book Conceptual Structures Theory Tools and Applications written by Marie-Laure Mugnier and published by Springer Science & Business Media. This book was released on 1998-07-22 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Conceptual Structures, ICCS'98, held in Montpellier, France, in August 1998. The 20 revised full papers and 10 research reports presented were carefully selected from a total of 66 submissions; also included are three invited contributions. The volume is divided in topical sections on knowledge representation and knowledge engineering, tools, conceptual graphs and other models, relationships with logics, algorithms and complexity, natural language processing, and applications.

Download or read book Lattices and Ordered Algebraic Structures written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2005-11-24 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Download or read book An Introduction to Partially Ordered Structures and Sheaves written by Francisco Miraglia and published by Polimetrica s.a.s.. This book was released on 2006 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Knowledge Structures written by Dietrich Albert and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a sign of its times. Each one of the chapters - papers written by European authors of various backgrounds- illustrates a departure from the style of theorizing that has been prominent in the behavioral and social sciences for most of the century. Until very recently, models for behavioral phenomena were chi~fly based on numerical representations of the objects of concern, e. g. the subjects and the stimuli under study. This was due in large part to the influence of nineteenth century physics, which played the role of the successful older sister, the one that had to be imitated if one wished to be taken seriously in scientific circles. The mystical belief that there could be science only when the objects of concern were susceptible of measurement in the sense of physics was a credo that could not be violated without risks. Another, more honor able justification was that the numerical models were the only ones capable of feasible calculations. (In fact, these models were typically linear. ) An early example of such theorizing in psychology is factor analysis, which attempted to represent the results of mental tests in a real vector space of small dimen sionality, each subject being represented by a point in that space. A dimension Wa£ interpreted as a scale measuring some mental ability. The analysis was simple, and only required an electrical desk calculator (with spinning wheels), and a suitable amount of determination.

Download or read book Mathematical Models of Group Structure written by Thomas F. Mayer and published by Bobbs-Merrill Company. This book was released on 1975 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Convex Structures written by M.L.J. van de Vel and published by Elsevier. This book was released on 1993-08-02 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology.Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course.

Download or read book Mathematical Tools for Data Mining written by Dan A. Simovici and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume was born from the experience of the authors as researchers and educators,whichsuggeststhatmanystudentsofdataminingarehandicapped in their research by the lack of a formal, systematic education in its mat- matics. The data mining literature contains many excellent titles that address the needs of users with a variety of interests ranging from decision making to p- tern investigation in biological data. However, these books do not deal with the mathematical tools that are currently needed by data mining researchers and doctoral students. We felt it timely to produce a book that integrates the mathematics of data mining with its applications. We emphasize that this book is about mathematical tools for data mining and not about data mining itself; despite this, a substantial amount of applications of mathematical c- cepts in data mining are presented. The book is intended as a reference for the working data miner. In our opinion, three areas of mathematics are vital for data mining: set theory,includingpartially orderedsetsandcombinatorics;linear algebra,with its many applications in principal component analysis and neural networks; and probability theory, which plays a foundational role in statistics, machine learning and data mining. Thisvolumeisdedicatedtothestudyofset-theoreticalfoundationsofdata mining. Two further volumes are contemplated that will cover linear algebra and probability theory. The ?rst part of this book, dedicated to set theory, begins with a study of functionsandrelations.Applicationsofthesefundamentalconceptstosuch- sues as equivalences and partitions are discussed. Also, we prepare the ground for the following volumes by discussing indicator functions, ?elds and?-?elds, and other concepts.

Download or read book Continuous Lattices and Their Applications written by Rudolf E. Hoffmann and published by CRC Press. This book was released on 2020-12-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.

Download or read book Lattice Theory Special Topics and Applications written by George Grätzer and published by Birkhäuser. This book was released on 2016-10-08 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Download or read book Neutrosophic Set Approach to Algebraic Structures written by Madad Khan and published by Infinite Study. This book was released on with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of seven chapters. In chapter one we introduced neutrosophic ideals (bi, quasi, interior, (m,n) ideals) and discussed the properties of these ideals. Moreover, we characterized regular and intra-regular AG-groupoids using these ideals. In chapter two we introduced neutrosophic minimal ideals in AG-groupoids and discussed several properties. In chapter three, we introduced different neutrosophic regularities of AG-groupoids. Further we discussed several condition where these classes are equivalent. In chapter four, we introduced neutrosophic M-systems and neutrosophic p-systems in non-associative algebraic structure and discussed their relations with neutrosophic ideals. In chapter five, we introduced neutrosophic strongly regular AG-groupoids and characterized this structure using neutrosophic ideals. In chapter six, we introduced the concept of neutrosophic ideal, neutrosophic prime ideal, neutrosophic bi-ideal and neutrosophic quasi ideal of a neutrosophic semigroup. With counter example we have shown that the union and product of two neutrosophic quasi-ideals of a neutrosophic semigroup need not be a neutrosophic quasi-ideal of neutrosophic semigroup. We have also shown that every neutrosophic bi-ideal of a neutrosophic semigroup need not be a neutrosophic quasi-ideal of a neutrosophic semigroup. We have also characterized the regularity and intra-regularity of a neutrosophic semigroup. In chapter seven, we introduced neutrosophic left almost rings and discussed several properties using their neutrosophic ideals. Keywords: neutrosophic set, algebraic structure, neutrosophic ideal, AG-groupoids, neutrosophic minimal ideals, neutrosophic regularities, neutrosophic M-systems, neutrosophic p-systems, neutrosophic strongly regular AG-groupoids neutrosophic prime ideal, neutrosophic bi-ideal, neutrosophic quasi ideal, neutrosophic semigroup, neutrosophic left almost rings

Download or read book Knowledge and Language written by E. Reuland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. BACKGROUND This volume is one of three which emerged from the Conference on Knowledge and Language, held from May 21-May 25, 1989, at the occasion of the 37 5th anniversary of the University of Groningen. Studying the relation between knowledge and language, one may distinguish two different lines of inquiry, one focussing on language as a body of knowledge, the other on language as a vehicle of knowledge. Approaching language as a body of knowledge one faces questions concerning its structure, and the relation with other types of knowledge. One will ask, then, how language is acquired and to what extent the acquisition of language and the structure of the language faculty model relevant aspects of other cognitive capacities. If language is approached as a vehicle for knowledge, the question comes up what enables linguistic entities to represent facts about the world. To what extent does this reply on conventional aspects of mean ings? Is it possible for language, when used non-conventionally as in metaphors, to convey intersubjective knowledge? If so (and it does seem to be the case), one may wonder what makes this possible. The aim of this conference was to investigate the role of conceptual structure in cognitive processes, exploring it from the perspectives of philosophy of language, linguistics, political philosophy, psychology, liter ary theory, aesthetics, and philosophy of science. The themes of these three volumes reflect the themes of the conference.

Download or read book Philosophy of Logic and Mathematics written by Gabriele M. Mras and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

Download or read book Conceptual Structures for Knowledge Creation and Communication written by Aldo de Moor and published by Springer. This book was released on 2003-09-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of ICCS 2003, the 11th International C- ferenceonConceptualStructures. Thisconferenceseriescontinuestobethemain forum for the presentation and discussion of state-of-the-art research on conc- tualstructures. Thetheories,methodologies,andtechniquespresentedherehave grown considerably in scope in recent years. On the other hand, solid bridges spanning the boundaries between such diverse ?elds as Conceptual Graphs, F- mal Concept Analysis, and others are increasingly being built in our community. The theme of this year’s conference was “Conceptual Structures for Kno- edge Creation and Communication”. In our increasingly (Inter)networked world, the potential support of information technology for the creation and commu- cation of quality knowledge is almost boundless. However, in reality, many c- ceptual barriers prevent the use of this potential. The main problem is no longer in the technological infrastructure, but in how to navigate, use, and manage the wealth of available data resources. Thus, the question is: how to create and communicate from data the information and ultimately the knowledge required by an ever more complex and dynamic society? Conceptual structures research focuses on what is behind and between the data glut and the information ov- load that need to be overcome in answering this question. In this way, our ?eld contributes important ideas on how to actually realize some of the many still ambitious visions. All regular papers were reviewed in a thorough and open process by at least two reviewers and one editor.

Download or read book Functional Programming Languages and Computer Architecture written by John Hughes and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive view of the best and the latest work in functional programming. It is the proceedings of a major international conference and contains 30 papers selected from 126 submitted. A number of themes emerge. One is a growing interest in types: powerful type systems or type checkers supporting overloading, coercion, dynamic types, and incremental inference; linear types to optimize storage, and polymorphic types to optimize semantic analysis. The hot topic of partial evaluation is well represented: techniques for higher-order binding-time analysis, assuring termination of partial evaluation, and improving the residual programs a partial evaluator generates. The thorny problem of manipulating state in functional languages is addressed: one paper even argues that parallel programs with side-effects can be "more declarative" than purely functional ones. Theoretical work covers a new model of types based on projections, parametricity, a connection between strictness analysis and logic, and a discussion of efficient implementations of the lambda-calculus. The connection with computer architecture and a variety of other topics are also addressed.