Symmetry Studies

Author : Ted Dobson
Publisher : Cambridge University Press
ISBN 13 : 1108643620
Total Pages : 528 pages
Book Rating : 4.27/5 ( download)

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Download or read book Symmetry in Graphs written by Ted Dobson and published by Cambridge University Press. This book was released on 2022-05-12 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf.

Author : Marlos A. G. Viana
Publisher : Cambridge University Press
ISBN 13 : 1139471651
Total Pages : pages
Book Rating : 4.57/5 ( download)

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Download or read book Symmetry Studies written by Marlos A. G. Viana and published by Cambridge University Press. This book was released on 2008-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental data can often be associated with or indexed by certain symmetrically interesting structures or sets of labels that appear, for example, in the study of short symbolic sequences in molecular biology, in preference or voting data, in (corneal) curvature data, and in studies of the handedness and entropy of symbolic sequences and elementary images. The symmetry studies introduced in this book describe the interplay among symmetry transformations that are characteristic of these sets of labels, their resulting classification, the algebraic decomposition of the data indexed by them, and the statistical analysis of the invariants induced by those decompositions. The overall purpose is to facilitate and guide the statistical study of the structured data from both a descriptive and inferential perspective. The text combines notions of algebra and statistics and develops a systematic methodology to better explore the interplay between symmetry-related research questions and their statistical analysis.

Author : Joseph Rosen
Publisher : Springer Science & Business Media
ISBN 13 : 3540759735
Total Pages : 312 pages
Book Rating : 4.37/5 ( download)

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Download or read book Symmetry Rules written by Joseph Rosen and published by Springer Science & Business Media. This book was released on 2008-02-20 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we use science to describe and understand the world around us, we are in essence grasping nature through symmetry. Emphasizing the concepts, this book leads the reader coherently and comprehensively into the fertile field of symmetry and its applications. Among the most important applications considered are the fundamental forces of nature and the Universe. Written by a renowned expert, this book will convince all interested readers of the importance of symmetry in science.

Author : Marlos A.G. Viana
Publisher : CRC Press
ISBN 13 : 1466583983
Total Pages : 192 pages
Book Rating : 4.86/5 ( download)

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Download or read book Symmetry in Optics and Vision Studies written by Marlos A.G. Viana and published by CRC Press. This book was released on 2019-11-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the foundations, interpretations, and data-analytic applications of symmetry studies with an emphasis on applications in optical sciences. Symmetry studies connect group theoretic and statistical methods for data summary and inference. Readers should have an understanding of calculus and linear algebra as well as introductory statistics. The book reviews finite group theory in the introductory chapters. Computational tools used in the text are available for download in the form of Mathmaticaâ notebooks or R scripts. This book: Demonstrates the usefulness of a unified view of algebra and symmetry studies to address data-analytic questions in optics and vision science Offers a brief review of finite group theory and elements of multivariate analysis Includes various examples from diverse areas of optical science

Author : S. L. Zabell
Publisher : Cambridge University Press
ISBN 13 : 9780521444705
Total Pages : 304 pages
Book Rating : 4.05/5 ( download)

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Download or read book Symmetry and Its Discontents written by S. L. Zabell and published by Cambridge University Press. This book was released on 2005-06-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a collection of essays on the history and philosophy of probability and statistics by one of the eminent scholars in these subjects. Written over the last fifteen years, they fall into three broad categories. The first deals with the use of symmetry arguments in inductive probability, in particular, their use in deriving rules of succession. The second group deals with three outstanding individuals who made lasting contributions to probability and statistics in very different ways: Frank Ramsey, R.A. Fisher, Alan Turing, and Abraham de Moivre. The last group of essays deals with the problem of "predicting the unpredictable."

Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0191652741
Total Pages : 152 pages
Book Rating : 4.45/5 ( download)

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Download or read book Symmetry: A Very Short Introduction written by Ian Stewart and published by OUP Oxford. This book was released on 2013-05-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Author : Talal A. Debs
Publisher : Harvard University Press
ISBN 13 : 9780674034136
Total Pages : 220 pages
Book Rating : 4.39/5 ( download)

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Download or read book Objectivity, Invariance, and Convention written by Talal A. Debs and published by Harvard University Press. This book was released on 2009-07 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Publisher: "What does it mean to be lonely?" Thomas Dumm asks. His inquiry, documented in this book, takes us beyond social circumstances and into the deeper forces that shape our very existence as modern individuals. The modern individual, Dumm suggests, is fundamentally a lonely self. Through reflections on philosophy, political theory, literature, and tragic drama, he proceeds to illuminate a hidden dimension of the human condition. His book shows how loneliness shapes the contemporary division between public and private, our inability to live with each other honestly and in comity, the estranged forms that our intimate relationships assume, and the weakness of our common bonds. A reading of the relationship between Cordelia and her father in Shakespeare's King Lear points to the most basic dynamic of modern loneliness-how it is a response to the problem of the "missing mother." Dumm goes on to explore the most important dimensions of lonely experience-Being, Having, Loving, and Grieving. As the book unfolds, he juxtaposes new interpretations of iconic cultural texts-Moby-Dick, Death of a Salesman, the film Paris, Texas, Emerson's "Experience," to name a few-with his own experiences of loneliness, as a son, as a father, and as a grieving husband and widower. Written with deceptive simplicity, Loneliness as a Way of Life is something rare-an intellectual study that is passionately personal. It challenges us, not to overcome our loneliness, but to learn how to re-inhabit it in a better way. To fail to do so, this book reveals, will only intensify the power that it holds over us

Author : Barbara Citko
Publisher : Cambridge University Press
ISBN 13 : 1139501348
Total Pages : 289 pages
Book Rating : 4.47/5 ( download)

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Download or read book Symmetry in Syntax written by Barbara Citko and published by Cambridge University Press. This book was released on 2011-04-28 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: While much has been written on asymmetric aspects of sentence structure, symmetric aspects have been largely ignored, or claimed to be non-existent. Does symmetry in syntax exist, and if it does, how do we account for it? In this book, Barbara Citko sets out to tackle these questions and offers a unified approach to a number of phenomena that have so far been studied only in isolation. Focusing on three core minimalist mechanisms: merge, move and labeling, she advances a new theory of these mechanisms, by showing that under certain well-defined circumstances merge can create symmetric structures, move can target either of two potentially moveable objects, and labels can be constructed symmetrically from the features of two objects. This book is aimed at researchers and graduate students interested in minimalist syntax, the structure of questions, relative clauses, coordination, double object constructions and copular sentences.

Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 9814480819
Total Pages : 448 pages
Book Rating : 4.19/5 ( download)

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Download or read book Symmetry and Complexity written by Klaus Mainzer and published by World Scientific. This book was released on 2005-06-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity. Contents:Symmetry and Complexity in Early Culture and PhilosophySymmetry and Complexity in MathematicsSymmetry and Complexity in Physical SciencesSymmetry and Complexity in Chemical SciencesSymmetry and Complexity in Life SciencesSymmetry and Complexity in Economic and Social SciencesSymmetry and Complexity in Computer ScienceSymmetry and Complexity in Philosophy and Arts Readership: Upper-level undergraduates, graduate students, researchers, academics, and professionals in interdisciplinary sciences. Keywords:Symmetry;Symmetry Breaking;Complexity;Nonlinear Science;Dynamical System;Chaos;Bifurcation;Fractal;Computational System;Information Dynamics;Philosophy of Science;ArtsKey Features:Valuable insights from natural, social and computer sciencesAttractive pictures and illustrations enhancing the spirit and beauty of nonlinear scienceReviews:“This outstanding book is a general overview of the notion of symmetry and its many connections to the ideas of complexity … The book will be especially useful to the intelligent general reader as well as advanced undergraduate students looking for challenging technical problems to solve, reconfigure, or redefine.”Zentralblatt MATH '

Author : Michael Leyton
Publisher : MIT Press
ISBN 13 : 9780262621311
Total Pages : 644 pages
Book Rating : 4.12/5 ( download)

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Download or read book Symmetry, Causality, Mind written by Michael Leyton and published by MIT Press. This book was released on 1992 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this investigation of the psychological relationship between shape and time, Leyton argues compellingly that shape is used by the mind to recover the past and as such it forms a basis for memory. Michael Leyton's arguments about the nature of perception and cognition are fascinating, exciting, and sure to be controversial. In this investigation of the psychological relationship between shape and time, Leyton argues compellingly that shape is used by the mind to recover the past and as such it forms a basis for memory. He elaborates a system of rules by which the conversion to memory takes place and presents a number of detailed case studies--in perception, linguistics, art, and even political subjugation--that support these rules. Leyton observes that the mind assigns to any shape a causal history explaining how the shape was formed. We cannot help but perceive a deformed can as a dented can. Moreover, by reducing the study of shape to the study of symmetry, he shows that symmetry is crucial to our everyday cognitive processing. Symmetry is the means by which shape is converted into memory. Perception is usually regarded as the recovery of the spatial layout of the environment. Leyton, however, shows that perception is fundamentally the extraction of time from shape. In doing so, he is able to reduce the several areas of computational vision purely to symmetry principles. Examining grammar in linguistics, he argues that a sentence is psychologically represented as a piece of causal history, an archeological relic disinterred by the listener so that the sentence reveals the past. Again through a detailed analysis of art he shows that what the viewer takes to be the experience of a painting is in fact the extraction of time from the shapes of the painting. Finally he highlights crucial aspects of the mind's attempt to recover time in examples of political subjugation.