Semilattice Structures
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Structures for Semantics
| Author | : Fred Landman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 381 |
| Release | : 2012-12-06 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9401132127 |
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.
Algebraic Structures and Applications
| Author | : Sergei Silvestrov |
| Publisher | : Springer Nature |
| Total Pages | : 976 |
| Release | : 2020-06-18 |
| Genre | : Mathematics |
| ISBN | : 3030418502 |
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.
Conceptual Structures: Theory, Tools and Applications
| Author | : Marie-Laure Mugnier |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 460 |
| Release | : 1998-07-22 |
| Genre | : Computers |
| ISBN | : 9783540647911 |
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.
An Introduction to Partially Ordered Structures and Sheaves
| Author | : Francisco Miraglia |
| Publisher | : Polimetrica s.a.s. |
| Total Pages | : 517 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 8876990356 |
Lattices and Ordered Algebraic Structures
| Author | : T.S. Blyth |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 311 |
| Release | : 2005-11-24 |
| Genre | : Mathematics |
| ISBN | : 184628127X |
"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
Mathematical Models of Group Structure
| Author | : Thomas F. Mayer |
| Publisher | : Bobbs-Merrill Company |
| Total Pages | : 100 |
| Release | : 1975 |
| Genre | : Social Science |
| ISBN | : |
Knowledge Structures
| Author | : Dietrich Albert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 269 |
| Release | : 2013-06-29 |
| Genre | : Psychology |
| ISBN | : 3642520642 |
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.
Continuous Lattices and Their Applications
| Author | : Rudolf E. Hoffmann |
| Publisher | : CRC Press |
| Total Pages | : 392 |
| Release | : 2020-12-17 |
| Genre | : Computers |
| ISBN | : 1000111083 |
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.
Neutrosophic Set Approach to Algebraic Structures
| Author | : Madad Khan |
| Publisher | : Infinite Study |
| Total Pages | : 236 |
| Release | : |
| Genre | : |
| ISBN | : 1599734710 |
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
