Deriving Coordinate Symmetries

Deriving Coordinate Symmetries PDF Author: John R. te Velde
Publisher: John Benjamins Publishing
ISBN: 9027233535
Category : Language Arts & Disciplines
Languages : en
Pages : 398

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Book Description
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.

Deriving Coordinate Symmetries

Deriving Coordinate Symmetries PDF Author: John R. te Velde
Publisher: John Benjamins Publishing
ISBN: 9027293724
Category : Language Arts & Disciplines
Languages : en
Pages : 400

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Book Description
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.

Deriving Coordinate Symmetries

Deriving Coordinate Symmetries PDF Author: John R. te Velde
Publisher: John Benjamins Publishing
ISBN: 9027233535
Category : Language Arts & Disciplines
Languages : en
Pages : 398

Get Book Here

Book Description
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.

Symmetry in Mechanics

Symmetry in Mechanics PDF Author: Stephanie Frank Singer
Publisher: Springer Science & Business Media
ISBN: 1461201896
Category : Mathematics
Languages : en
Pages : 201

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Book Description
"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.

Physics from Symmetry

Physics from Symmetry PDF Author: Jakob Schwichtenberg
Publisher: Springer
ISBN: 3319666312
Category : Science
Languages : en
Pages : 294

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Book Description
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.

Symmetries in Physics

Symmetries in Physics PDF Author: Katherine Brading
Publisher: Cambridge University Press
ISBN: 1139442023
Category : Science
Languages : en
Pages : 459

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Book Description
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.

Symmetries in Science III

Symmetries in Science III PDF Author: Bruno Gruber
Publisher: Springer Science & Business Media
ISBN: 1461307872
Category : Science
Languages : en
Pages : 602

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Book Description
Nicely printed and bound proceedings of a major symposium contain 29 reviews of highly diverse developments in the world of symmetry, plus 14 rather briefer research papers. The variety of the topics treated and the authority of the contributors suggest that most physical theorists will find here so

Symmetries

Symmetries PDF Author: D.L. Johnson
Publisher: Springer Science & Business Media
ISBN: 1447102436
Category : Mathematics
Languages : en
Pages : 199

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Book Description
" ... many eminent scholars, endowed with great geometric talent, make a point of never disclosing the simple and direct ideas that guided them, subordinating their elegant results to abstract general theories which often have no application outside the particular case in question. Geometry was becoming a study of algebraic, differential or partial differential equations, thus losing all the charm that comes from its being an art." H. Lebesgue, Ler;ons sur les Constructions Geometriques, Gauthier Villars, Paris, 1949. This book is based on lecture courses given to final-year students at the Uni versity of Nottingham and to M.Sc. students at the University of the West Indies in an attempt to reverse the process of expurgation of the geometry component from the mathematics curricula of universities. This erosion is in sharp contrast to the situation in research mathematics, where the ideas and methods of geometry enjoy ever-increasing influence and importance. In the other direction, more modern ideas have made a forceful and beneficial impact on the geometry of the ancients in many areas. Thus trigonometry has vastly clarified our concept of angle, calculus has revolutionised the study of plane curves, and group theory has become the language of symmetry.

Symmetries of the Helmholtz Equation

Symmetries of the Helmholtz Equation PDF Author: David Solomon Spiegel
Publisher:
ISBN:
Category : Helmholtz equation
Languages : en
Pages : 108

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Book Description


Inorganic Vibrational Spectroscopy

Inorganic Vibrational Spectroscopy PDF Author: Llewellyn H. Jones
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 240

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Book Description


Field Quantization

Field Quantization PDF Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 364261485X
Category : Science
Languages : en
Pages : 447

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Book Description
Theoretical physics has become a many-faceted science. For the young stu dent it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid-state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. At the Johann Wolfgang Goethe University in Frankfurt we therefore con front the student with theoretical physics immediately, in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I - An Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins, and Quantum Mechanics II - Symmetries, Statistical Mechanics and Ther modynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromo dynamics are obligatory.