Download or read book Axiomatic choice models and duality written by H.N. Weddepohl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day people frequently have to make a choice. For practical and scientific reasons therefore it is interesting to know what choices they make and how they arrive at them. An approach to this question can be made via psychology. However, it is also possible to approach it on a more formal basis. In this book Dr. Wedde pohl describes the logical structure of an individual's rational choice. It is this formal, logical approach to the decision problem that makes the book interesting reading matter for all those who are engaged in the study of individual choice. The introduction apart this study may be divided into two parts. The first part, consisting of chapters II and III, deals with choice theory on a very abstract level. In chapter II some mathematical concepts are presented and in chapter III two related choice models are treated, the first one based on preferences, the second one on choice functions. The second part consists of chapters IV, V and VI and covers consumer choice theory. After the pre sentation of the mathematical tools, two models that are extensions of the models of chapter III are dealt with. In the discussion of consumer choice theory the concept of duality plays an important role and it is found that duality is closely related to the notion of favourability introduced in chap ter II I. Mr. Weddepohl's study forms an introduction to a larger research project to develop the theory of collective choice.
Download or read book Axiomatic choice models and duality written by Claus Weddepohl and published by . This book was released on 1970 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic choice models and duality pref written by H. N. Weddepohl and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic Choice Models and Duality written by H. N. Weddepohl and published by . This book was released on 1970 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic choice models and duality written by H. N. Weddepohl and published by . This book was released on 1970 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic Models and Duality written by H. N.. Weddepohl and published by . This book was released on 1970 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axiomatic choice models and duality written by H. N. Weddepohl and published by . This book was released on 1970 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Duality in Mathematical Programming written by Manfred Walk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Duality in Mathematical Programming written by Chit Swe and published by . This book was released on 1975 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Duality Principles in Nonconvex Systems written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Download or read book Introduction to Grothendieck Duality Theory written by Allen Altman and published by Springer. This book was released on 2006-11-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Duality Revolution written by Yevgeny Karasik and published by . This book was released on 2021-05-28 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many books on duality. All of them fall into the following hackneyed categories: putting various spins on the classical dualities of good and evil, right and wrong, light and dark, mind and body, male and female, etc.: dualities as limitations and how to overcome them, or how to not limit oneself to one side; duality as illusion and how to free oneself from it; duality between women and men and how to reconcile it; etc. poetic and odd dualities such as the duality of the third dimension; haphazard dualities such as duality of risk and pain, moon and sun, wall and ceiling or any two other haphazardly chosen objects; treatises on the dual nature of something, e.g. the dual nature of matter, or the dual nature of mind, or the dual nature of soul, or the dual nature of space, etc. and, finally, scientific textbooks and monographs on duality principles in mathematics and physics. This book breaks a new ground and presents dualities discovered in the course of the research on how people think, solve problems and invent. The research began within the framework of TRIZ (the Russian acronym for the Theory of Inventor's Problems Solving) but went beyond it. It all started with the discovery of duality patterns in the TRIZ methods of invention. Attempts to formalize them led to the discovery of mathematical operators with properties that no other mathematical operator has. This led to the hypothesis that until now mathematics was the science about equal dualities. Accordingly, a program was launched to transform mathematics so that the axioms and theorems would assert the equivalence of dualities. Then dual transitions were discovered in the mechanisms of thinking and evolution. All this was put to use in devising new methods and algorithms of invention. The duality revolution has begun and continue to spread across domains revolutionizing them. This is what this book is about.
Download or read book Heyting Algebras written by Leo Esakia and published by Springer. This book was released on 2019-07-05 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. This translation helps make the ideas accessible to a wider audience and pays tribute to an influential mind in mathematical logic. The book discusses the theory of Heyting algebras and closure algebras, as well as the corresponding intuitionistic and modal logics. The author introduces the key notion of a hybrid that “crossbreeds” topology (Stone spaces) and order (Kripke frames), resulting in the structures now known as Esakia spaces. The main theorems include a duality between the categories of closure algebras and of hybrids, and a duality between the categories of Heyting algebras and of so-called strict hybrids. Esakia’s book was originally published in 1985. It was the first of a planned two-volume monograph on Heyting algebras. But after the collapse of the Soviet Union, the publishing house closed and the project died with it. Fortunately, this important work now lives on in this accessible translation. The Appendix of the book discusses the planned contents of the lost second volume.
Download or read book Duality in Measure Theory written by C. Constantinescu and published by Springer. This book was released on 2006-11-15 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Download or read book Mathematical Logic written by A. Lightstone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before his death in March, 1976, A. H. Lightstone delivered the manu script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied.
Download or read book Duality Revolution written by Yevgeny Karasik and published by . This book was released on 2021-05-15 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores the phenomena of duality in science, technology, and mental activities such as thinking and problem solving. It goes far beyond the well-known duality theories of mathematics and physics. The book introduces many new types of duality and the laws that govern them. The research was prompted by the discovery of duality patterns in the methods of inventions developed within the Theory of Inventor's Problem Solving, known by its Russian acronym TRIZ. Then the role of duality in resolving conflicts/contradictions was discovered. It was found that conflicts/contradictions get resolved by separating conflicting requirements between dual "sides" of an object. The work to formalize these results led to the realization that mathematics is the science about equal dualities. Accordingly, a program was launched to transform mathematics in such a way that its axioms and theorems would assert equivalence of certain dualities. The study of how people think, solve problems and invent has also led to the discovery of many duality patterns, that have been used to develop new methods and algorithms for invention. All this is detailed in the book.
