Deriving Coordinate Symmetries

Author : John R. te Velde
Publisher : John Benjamins Publishing
Page : 398 pages
File Size : 43,9 Mb
Release : 2006-01-18
Category : Language Arts & Disciplines
ISBN : 9789027233530

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Deriving Coordinate Symmetries by John R. te Velde Pdf

This monograph proposes a minimalist, phase-based approach to the derivation of coordinate structures, utilizing the operations Copy and Match to account for both the symmetries and asymmetries of coordination. Data are drawn primarily from English, German and Dutch. The basic assumptions are that all coordinate structures are symmetric to some degree (in contrast to parasitic gap and many verb phrase ellipsis constructions), and these symmetries, especially with ellipsis, allow syntactic derivations to utilize Copy and Match in interface with active memory for economizing with gaps and assuring clarity of interpretation. With derivations operating at the feature level, troublesome properties of coordinate structures such as cross-categorial and non-constituent coordination, violations of the Coordinate Structure Constraint, as well as coordinate ellipsis (Gapping, RNR, Left-Edge Ellipsis) are accounted for without separate mechanisms or conditions applicable only to coordinate structures. The proposal provides support for central assumptions about the structure of West Germanic.

Author : John R. te Velde
Publisher : John Benjamins Publishing
Page : 400 pages
File Size : 49,9 Mb
Release : 2006-01-18
Category : Language Arts & Disciplines
ISBN : 9789027293725

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Deriving Coordinate Symmetries by John R. te Velde Pdf

This monograph proposes a minimalist, phase-based approach to the derivation of coordinate structures, utilizing the operations Copy and Match to account for both the symmetries and asymmetries of coordination. Data are drawn primarily from English, German and Dutch. The basic assumptions are that all coordinate structures are symmetric to some degree (in contrast to parasitic gap and many verb phrase ellipsis constructions), and these symmetries, especially with ellipsis, allow syntactic derivations to utilize Copy and Match in interface with active memory for economizing with gaps and assuring clarity of interpretation. With derivations operating at the feature level, troublesome properties of coordinate structures such as cross-categorial and non-constituent coordination, violations of the Coordinate Structure Constraint, as well as coordinate ellipsis (Gapping, RNR, Left-Edge Ellipsis) are accounted for without separate mechanisms or conditions applicable only to coordinate structures. The proposal provides support for central assumptions about the structure of West Germanic.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 9789814466110

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Dynamical Symmetry by Anonim Pdf

Author : Jakob Schwichtenberg
Publisher : Springer
Page : 287 pages
File Size : 51,6 Mb
Release : 2017-12-01
Category : Science
ISBN : 9783319666310

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Physics from Symmetry by Jakob Schwichtenberg Pdf

This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Author : Katherine Brading,Elena Castellani
Publisher : Cambridge University Press
Page : 459 pages
File Size : 45,6 Mb
Release : 2003-12-04
Category : Science
ISBN : 9781139442022

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Symmetries in Physics by Katherine Brading,Elena Castellani Pdf

This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.

Author : Stephanie Frank Singer
Publisher : Springer Science & Business Media
Page : 201 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201892

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Symmetry in Mechanics by Stephanie Frank Singer Pdf

"And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate students - not the ideal stu dents that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but ap preciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathe maticians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. This book does not presume to improve on the classics in that genre. Rather, it aims to provide those classics with a large new generation of appreciative readers. This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. We present the derivation of Kepler's laws of planetary motion from Newton's laws of gravitation, first in the style of an undergraduate physics course, and x Preface then again in the language of symplectic geometry. No previous exposure to symplectic geometry is required: we introduce and illustrate all necessary con structs.

Author : Kurt Sundermeyer
Publisher : Springer
Page : 788 pages
File Size : 51,5 Mb
Release : 2014-07-23
Category : Science
ISBN : 9783319065816

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Symmetries in Fundamental Physics by Kurt Sundermeyer Pdf

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Author : Jay Tasson
Publisher : MDPI
Page : 100 pages
File Size : 40,5 Mb
Release : 2020-01-21
Category : Science
ISBN : 9783039280940

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Symmetry in Special and General Relativity by Jay Tasson Pdf

The development of special and general relativity has relied significantly on ideas of symmetry. Similarly, modern efforts to test these theories have often sought either violations or extensions of the symmetries seen, and symmetry is regularly used a tool in seeking new applications. In this Special Issue of symmetry, we explore some contemporary research related to symmetry in special and general relativity.

Author : Lazarʹ Matveevich Sverdlov,Mikhail Arkadʹevich Kovner,Evgeniĭ Petrovich Kraĭnov
Publisher : John Wiley & Sons
Page : 668 pages
File Size : 50,5 Mb
Release : 1973
Category : Science
ISBN : UOM:39015055883394

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Vibrational Spectra of Polyatomic Molecules by Lazarʹ Matveevich Sverdlov,Mikhail Arkadʹevich Kovner,Evgeniĭ Petrovich Kraĭnov Pdf

Author : Bruno Gruber,Michael Ramek
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 40,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489915375

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Symmetries in Science X by Bruno Gruber,Michael Ramek Pdf

Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

Author : Pieter Thyssen,Arnout Ceulemans
Publisher : Oxford University Press
Page : 529 pages
File Size : 51,5 Mb
Release : 2017
Category : Mathematics
ISBN : 9780190611392

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Shattered Symmetry by Pieter Thyssen,Arnout Ceulemans Pdf

Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of Shattered Symmetry is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev's table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity.

Author : Markus Antoni
Publisher : Springer
Page : 124 pages
File Size : 46,8 Mb
Release : 2018-12-05
Category : Technology & Engineering
ISBN : 9783030004163

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Calculus with Curvilinear Coordinates by Markus Antoni Pdf

This book presents problems and solutions in calculus with curvilinear coordinates. Vector analysis can be performed in different coordinate systems, an optimal system considers the symmetry of the problem in order to reduce calculatory difficulty. The book presents the material in arbitrary orthogonal coordinates, and includes the discussion of parametrization methods as well as topics such as potential theory and integral theorems. The target audience primarily comprises university teachers in engineering mathematics, but the book may also be beneficial for advanced undergraduate and graduate students alike.

Author : Daniel C. Harris,Michael D. Bertolucci
Publisher : Unknown
Page : 584 pages
File Size : 43,6 Mb
Release : 1978
Category : Electron spectroscopy
ISBN : UOM:39076005529214

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Symmetry and Spectroscopy by Daniel C. Harris,Michael D. Bertolucci Pdf

Author : Paul B. Yale
Publisher : New York : Dover Publications
Page : 328 pages
File Size : 47,5 Mb
Release : 1988
Category : Mathematics
ISBN : UOM:39015018501760

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Geometry and Symmetry by Paul B. Yale Pdf

Introduction to the geometry of Euclidean, affine, and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level.

Author : Graham S. Hall
Publisher : World Scientific Publishing Company Incorporated
Page : 430 pages
File Size : 49,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9810210515

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Symmetries and Curvature Structure in General Relativity by Graham S. Hall Pdf

This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.