Structure And Equivalence

Author : Neil Dewar
Publisher : Cambridge University Press
ISBN 13 : 1108910467
Total Pages : 82 pages
Book Rating : 4.60/5 ( download)

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Download or read book Structure and Equivalence written by Neil Dewar and published by Cambridge University Press. This book was released on 2022-03-17 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.

Author : David Matsumoto
Publisher : Cambridge University Press
ISBN 13 : 1139493140
Total Pages : pages
Book Rating : 4.47/5 ( download)

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Download or read book Cross-Cultural Research Methods in Psychology written by David Matsumoto and published by Cambridge University Press. This book was released on 2010-10-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Cross-cultural research is now an undeniable part of mainstream psychology and has had a major impact on conceptual models of human behavior. Although it is true that the basic principles of social psychological methodology and data analysis are applicable to cross-cultural research, there are a number of issues that are distinct to it, including managing incongruities of language and quantifying cultural response sets in the use of scales. Cross-Cultural Research Methods in Psychology provides state-of-the-art knowledge about the methodological problems that need to be addressed if a researcher is to conduct valid and reliable cross-cultural research. It also offers practical advice and examples of solutions to those problems and is a must-read for any student of culture.

Author : Robert B. Gardner
Publisher : SIAM
ISBN 13 : 9781611970135
Total Pages : 134 pages
Book Rating : 4.3X/5 ( download)

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Download or read book The Method of Equivalence and Its Applications written by Robert B. Gardner and published by SIAM. This book was released on 1989-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideas of Elie Cartan are combined with the tools of Felix Klein and Sophus Lie to present in this book the only detailed treatment of the method of equivalence. An algorithmic description of this method, which finds invariants of geometric objects under infinite dimensional pseudo-groups, is presented for the first time. As part of the algorithm, Gardner introduces several major new techniques. In particular, the use of Cartan's idea of principal components that appears in his theory of Repere Mobile, and the use of Lie algebras instead of Lie groups, effectively a linear procedure, provide a tremendous simplification. One must, however, know how to convert from one to the other, and the author provides the Rosetta stone to accomplish this. In complex problems, it is essential to be able to identify natural blocks in group actions and not just individual elements, and prior to this publication, there was no reference to block matrix techniques. The Method of Equivalence and Its Applications details ten diverse applications including Lagrangian field theory, control theory, ordinary differential equations, and Riemannian and conformal geometry. This volume contains a series of lectures, the purpose of which was to describe the equivalence algorithm and to show, in particular, how it is applied to several pedagogical examples and to a problem in control theory called state estimation of plants under feedback. The lectures, and hence the book, focus on problems in real geometry.

Author : Dragoş Iliescu
Publisher : Cambridge University Press
ISBN 13 : 1107110122
Total Pages : 711 pages
Book Rating : 4.20/5 ( download)

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Download or read book Adapting Tests in Linguistic and Cultural Situations written by Dragoş Iliescu and published by Cambridge University Press. This book was released on 2017-11-02 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a practical but scientifically grounded step-by-step approach to the adaptation of tests in linguistic and cultural contexts.

Author : Terry S. Kobin
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.98/5 ( download)

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Download or read book On the Structural Equivalence of Data Structures written by Terry S. Kobin and published by . This book was released on 1974 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lluis Puig
Publisher : Birkhäuser
ISBN 13 : 3034886934
Total Pages : 256 pages
Book Rating : 4.32/5 ( download)

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Download or read book On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks written by Lluis Puig and published by Birkhäuser. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups. In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block – and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence. This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence.

Author : C. Lämmerzahl
Publisher : Springer Science & Business Media
ISBN 13 : 3540412360
Total Pages : 507 pages
Book Rating : 4.66/5 ( download)

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Download or read book Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space written by C. Lämmerzahl and published by Springer Science & Business Media. This book was released on 2001-03-13 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many new tests of gravity and, in particular, of Einstein's general relativity theory will be carried out in the near future: The Lense--Thirring effect and the equivalence principle will be tested in space; moreover, gravitational waves will be detected, and new atomic interferometers and clocks will be built for measurements in gravitational and inertial fields. New high-precision devices have made these experiments feasible. They will contribute to a better understanding of gravitational physics. Both experimental developments and the theoretical concepts are collected in this volume. Exhaustive reviews give an overall insight into the subject of experimental gravitation.

Author : Kennon A. Lattal
Publisher : Springer Science & Business Media
ISBN 13 : 1489919473
Total Pages : 665 pages
Book Rating : 4.72/5 ( download)

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Download or read book Handbook of Research Methods in Human Operant Behavior written by Kennon A. Lattal and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: A host of special methodological issues arise in any discussion of research on human behavior. This practical new volume addresses many of those questions with 19 superb contributions from leading experts in the field. The text evaluates specific strategies and techniques used in laboratory settings, including - reinforcement and punishment - stimulus control - behavioral pharmacology - and methodologies concerning verbal and social behavior, among others. The book includes 135 illustrations and a notable Appendix that offers the APA's ethical guidelines for research with human subjects.

Author : Joseph D. Sneed
Publisher : Springer Science & Business Media
ISBN 13 : 9401030669
Total Pages : 325 pages
Book Rating : 4.63/5 ( download)

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Download or read book The Logical Structure of Mathematical Physics written by Joseph D. Sneed and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa "theoretical" role; others playa "non-theoretical" role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.

Author : Peter J. Olver
Publisher : Cambridge University Press
ISBN 13 : 9780521478113
Total Pages : 546 pages
Book Rating : 4.11/5 ( download)

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Download or read book Equivalence, Invariants and Symmetry written by Peter J. Olver and published by Cambridge University Press. This book was released on 1995-06-30 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.