Structure And Equivalence
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Structure And Equivalence
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Author : Neil Dewar
language : en
Publisher: Cambridge University Press
Release Date : 2022-03-17
Structure And Equivalence written by Neil Dewar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-17 with Philosophy categories.
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.
On The Local Structure Of Morita And Rickard Equivalences Between Brauer Blocks
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Author : Lluis Puig
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
On The Local Structure Of Morita And Rickard Equivalences Between Brauer Blocks written by Lluis Puig and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Cross Cultural Research Methods In Psychology
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Author : David Matsumoto
language : en
Publisher: Cambridge University Press
Release Date : 2010-10-11
Cross Cultural Research Methods In Psychology written by David Matsumoto and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-11 with Psychology categories.
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.
The Method Of Equivalence And Its Applications
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Author : Robert B. Gardner
language : en
Publisher: SIAM
Release Date : 1989-01-01
The Method Of Equivalence And Its Applications written by Robert B. Gardner and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
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, is presented for the first time.
Equivalence Invariants And Symmetry
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Author : Peter J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 1995-06-30
Equivalence Invariants And Symmetry written by Peter J. Olver and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-30 with Mathematics categories.
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.
Physics Structure And Reality
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Author : Jill North
language : en
Publisher: Oxford University Press
Release Date : 2021-05-13
Physics Structure And Reality written by Jill North and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-13 with Science categories.
In Physics, Structure, and Reality, Jill North addresses a set of questions that get to the heart of the project of interpreting physics—of figuring out what physics is telling us about the world. How do we figure out the nature of the world from a mathematically formulated physical theory? What do we infer about the world when a physical theory can be mathematically formulated in different ways? North argues that there is a certain notion of structure, implicit in physics and mathematics, to which we should pay careful attention in order to discern what physics is telling us about the nature of reality. North draws lessons for related topics, including the use of coordinate systems in physics, the differences among various formulations of classical mechanics, the nature of spacetime structure, the equivalence of physical theories, and the importance of scientific explanation. Although the book does not explicitly defend scientific realism, instead taking this to be a background assumption, the account provides an indirect case for realism toward our best theories of physics.
Symmetrical Pitch And Equivalence Class Set Structure In Anton Webern S Opus 5
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Author : John Dean Vander Weg
language : en
Publisher:
Release Date : 1983
Symmetrical Pitch And Equivalence Class Set Structure In Anton Webern S Opus 5 written by John Dean Vander Weg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
on equivalence-class sets determine both the analytical segmentation of pieces and the final results of analytical applications of the theory.
Network Subgroups In An Organization
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Author : Gordon William Meyer
language : en
Publisher:
Release Date : 1989
Network Subgroups In An Organization written by Gordon William Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Industrial sociology categories.
Borel Equivalence Relations
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Author : Vladimir Grigorʹevich Kanoveĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Borel Equivalence Relations written by Vladimir Grigorʹevich Kanoveĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"Over the last 20 years, the theory of Borel equivalence relations and related topics have been very active areas of research in set theory and have important interactions with other fields of mathematics, like ergodic theory and topological dynamics, group theory, combinatorics, functional analysis, and model theory. The book presents, for the first time in mathematical literature, all major aspects of this theory and its applications."--BOOK JACKET.
Adapting Tests In Linguistic And Cultural Situations
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Author : Dragoş Iliescu
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-02
Adapting Tests In Linguistic And Cultural Situations written by Dragoş Iliescu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Education categories.
This book provides a practical but scientifically grounded step-by-step approach to the adaptation of tests in linguistic and cultural contexts.