Continuous Symmetry Measures Ii Symmetry Groups And The Tetrahedron

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Continuous Symmetry Measures, II: Symmetry Groups and the Tetrahedron

Author : Hebrew University of Jerusalem. Dept. of Computer Science
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (325 download)

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Book Synopsis Continuous Symmetry Measures, II: Symmetry Groups and the Tetrahedron by : Hebrew University of Jerusalem. Dept. of Computer Science

Download or read book Continuous Symmetry Measures, II: Symmetry Groups and the Tetrahedron written by Hebrew University of Jerusalem. Dept. of Computer Science and published by . This book was released on 1993 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We treat symmetry as a continuous property rather than a discrete 'yes or no' one. Here we generalize the approach developed for symmetry elements (Part I, J. Am. Chem. Soc. 114, 7844-7851 (1992)) to any symmetry group in two and three dimensions. Using the Continuous Symmetry Measure (CSM) method, it is possible to evaluate quantitatively how much of any symmetry exists in a non-symmetric configuration; what is the nearest symmetry-group of any given configuration; and how the symmetrized shapes, with respect to any symmetry-group, look like. The CSM approach is first presented in a practical easy-to-implement set of rules, which are later proven in a rigorous mathematical layout. Most of our examples concentrate on tetrahedral structures because of their key importance in chemistry. Thus, we show how to evaluate the amount of tetrahedricity (T[subscript d]) existing in non-symmetric tetrahedra; the amount of other symmetries they contain; and the continuous symmetry changes in fluctuating, vibrating and rotating tetrahedra. The tool we developed bears on any physical or chemical process and property which is either governed by symmetry considerations or which is describable in terms of changes in symmetry."

Continuous Symmetry Measures, II

Author : Hagit Zabrodsky
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (839 download)

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Book Synopsis Continuous Symmetry Measures, II by : Hagit Zabrodsky

Download or read book Continuous Symmetry Measures, II written by Hagit Zabrodsky and published by . This book was released on 1993 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Symmetry in Computer Vision and Computer Graphics

Author : Yanxi Liu
Publisher : Now Publishers Inc
ISBN 13 : 1601983646
Total Pages : 209 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Computational Symmetry in Computer Vision and Computer Graphics by : Yanxi Liu

Download or read book Computational Symmetry in Computer Vision and Computer Graphics written by Yanxi Liu and published by Now Publishers Inc. This book was released on 2010 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.

Reviews in Computational Chemistry

Author : Abby L. Parrill
Publisher : John Wiley & Sons
ISBN 13 : 1119356008
Total Pages : 392 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Reviews in Computational Chemistry by : Abby L. Parrill

Download or read book Reviews in Computational Chemistry written by Abby L. Parrill and published by John Wiley & Sons. This book was released on 2017-03-07 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Reviews in Computational Chemistry series brings together leading authorities in the field to teach the newcomer and update the expert on topics centered on molecular modeling. • Provides background and theory, strategies for using the methods correctly, pitfalls to avoid, applications, and references • Contains updated and comprehensive compendiums of molecular modeling software that list hundreds of programs, services, suppliers and other information that every chemist will find useful • Includes detailed indices on each volume help the reader to quickly discover particular topics • Uses a tutorial manner and non-mathematical style, allowing students and researchers to access computational methods outside their immediate area of expertise

Fuzzy Logic and Mathematics

Author : Radim Belohlavek
Publisher : Oxford University Press
ISBN 13 : 0190200022
Total Pages : 545 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis Fuzzy Logic and Mathematics by : Radim Belohlavek

Download or read book Fuzzy Logic and Mathematics written by Radim Belohlavek and published by Oxford University Press. This book was released on 2017-05-03 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.

Discrete Mathematical Chemistry

Author : Pierre Hansen
Publisher : American Mathematical Soc.
ISBN 13 : 0821809873
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Discrete Mathematical Chemistry by : Pierre Hansen

Download or read book Discrete Mathematical Chemistry written by Pierre Hansen and published by American Mathematical Soc.. This book was released on 2000 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-nine papers from the March 1998 workshop connect issues between chemistry, discrete mathematics, and computer science. Participants discussed theoretical problems of chemistry expressed by discrete mathematics, chemical graph algorithms, coding theory applied to chemistry, applications of discrete mathematics in the chemical industry, open problems and directions for research in discrete mathematical chemistry, and software for discrete mathematical chemistry. Specific topics include isomorphism rejection in structure generation programs, fast embeddings for planar molecular graphs, geometric symmetry and chemical equivalence, and numerical solution of the Laplace equation in chemical space. Annotation copyrighted by Book News, Inc., Portland, OR.

Symmetry 2

Author : I. Hargittai
Publisher : Elsevier
ISBN 13 : 148329949X
Total Pages : 1091 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Symmetry 2 by : I. Hargittai

Download or read book Symmetry 2 written by I. Hargittai and published by Elsevier. This book was released on 2016-02-25 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry 2 aims to present an overview of the contemporary status of symmetry studies, particularly in the arts and sciences, emphasizing both its role and importance. Symmetry is not only one of the fundamental concepts in science, but is also possibly the best unifying concept between various branches of science, the arts and other human activities. Whereas symmetry has been considered important for centuries primarily for its aesthetic appeal, this century has witnessed a dramatic enhancement of its status as a cornerstone in the sciences. In addition to traditionally symmetry-oriented fields such as crystallography and spectroscopy, the concept has made headway in fields as varied as reaction chemistry, nuclear physics, and the study of the origin of the universe. The book was initiated in response to the success of the first volume, which not only received good reviews, but received the award for "The Best Single Issue of a Journal" by the Association of American Publishers for 1986. The second volume extends the application of symmetry to new fields, such as medical sciences and economics, as well as investigating further certain topics introduced in Symmetry. The book is extensively illustrated and with over 64 contributions from 16 countries presents an international overview of the nature and diversity of symmetry studies today.

Symmetry Groups

Author : Alan William Bell
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Symmetry Groups by : Alan William Bell

Download or read book Symmetry Groups written by Alan William Bell and published by . This book was released on 1964 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry: A Very Short Introduction

Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0191652741
Total Pages : 161 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Symmetry: A Very Short Introduction by : Ian Stewart

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 161 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.

An Introduction to Finite Tight Frames

Author : Shayne F. D. Waldron
Publisher : Springer
ISBN 13 : 0817648151
Total Pages : 590 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis An Introduction to Finite Tight Frames by : Shayne F. D. Waldron

Download or read book An Introduction to Finite Tight Frames written by Shayne F. D. Waldron and published by Springer. This book was released on 2018-02-03 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

Applied Science and Technology Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1756 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applied Science and Technology Index by :

Download or read book Applied Science and Technology Index written by and published by . This book was released on 1995 with total page 1756 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Group Theory

Author : Mildred S. Dresselhaus
Publisher : Springer Science & Business Media
ISBN 13 : 3540328998
Total Pages : 576 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Group Theory by : Mildred S. Dresselhaus

Download or read book Group Theory written by Mildred S. Dresselhaus and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Continuous Symmetry and Chirality Measures

Author : Chaim Dryzun
Publisher :
ISBN 13 :
Total Pages : 87 pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis Continuous Symmetry and Chirality Measures by : Chaim Dryzun

Download or read book Continuous Symmetry and Chirality Measures written by Chaim Dryzun and published by . This book was released on 2011 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry

Author : Source Wikipedia
Publisher : University-Press.org
ISBN 13 : 9781230588841
Total Pages : 154 pages
Book Rating : 4.5/5 (888 download)

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Book Synopsis Symmetry by : Source Wikipedia

Download or read book Symmetry written by Source Wikipedia and published by University-Press.org. This book was released on 2013-09 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 153. Chapters: Group, Lie group, Automorphism, Conservation law, Symmetry group, Symmetric group, Self-similarity, Noether's theorem, C-symmetry, T-symmetry, CPT symmetry, Toilet paper orientation, Regular polytope, Higgs mechanism, Introduction to gauge theory, Space group, Three hares, Scale invariance, Sheela na Gig, Chirality, Hexagram, Yang-Mills theory, Taijitu, Molecular symmetry, Lie point symmetry, Asymmetry Principle, Tessellation, Triskelion, Crystal system, CP violation, Lorentz covariance, Spontaneous symmetry breaking, Commutativity, Rotational symmetry, Erlangen program, Mirror symmetry, One-dimensional symmetry group, Spacetime symmetries, Symmetry in mathematics, Symmetry in biology, Misorientation, Symmetry of second derivatives, Crystallographic point group, Conformal field theory, Translational symmetry, List of spherical symmetry groups, Screw axis, Sauwastika, Isometry, Inversion transformation, Lie groupoid, Dihedral symmetry in three dimensions, Poincare group, Conformal symmetry, The Ambidextrous Universe, Left-right symmetry, Jay Hambidge, Homological mirror symmetry, Gauge symmetry, Fock-Lorentz symmetry, Symmetry operation, Schonflies notation, Transformation geometry, Jucys-Murphy element, Cyclic symmetries, Conserved current, Explicit symmetry breaking, Tetron Model, Einstein group, Glide plane, Noether's second theorem, Local symmetry, Reversible dynamics, Symmetric relation, Uncorrelated asymmetry, SYZ conjecture, Symmetry number, Through and through, Weyl transformation, Centrosymmetry, Fibrifold, Continuous symmetry, P-compact group, Circular symmetry, Non-Euclidean crystallographic group, Inherent chirality, Special conformal transformation, Directional symmetry, Inequivalent symmetry, Modular invariance, Global symmetry, Symmetry element.

Symmetry, Spectroscopy, and Crystallography

Author : Robert Glaser
Publisher : John Wiley & Sons
ISBN 13 : 3527337490
Total Pages : 330 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Symmetry, Spectroscopy, and Crystallography by : Robert Glaser

Download or read book Symmetry, Spectroscopy, and Crystallography written by Robert Glaser and published by John Wiley & Sons. This book was released on 2015-10-05 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and understandable manner, this book provides a comprehensive, yet non-mathematical, treatment of the topic, covering the basic principles of symmetry and the important spectroscopic techniques used to probe molecular structure. The chapters are extensively illustrated and deal with such topics as symmetry elements, operations and descriptors, symmetry guidelines, high-fidelity pseudosymmetry, crystallographic symmetry, molecular gears, and experimental techniques, including X-ray crystallography and NMR spectroscopy. As an additional feature, 3D animations of most of the structures and molecules covered are available online at wiley.com. As a result, chemists learn how to understand and predict molecular structures and reactivity. Authored by a renowned expert with numerous publications and an excellent track record in research and teaching, this is a useful source for graduate students and researchers working in the field of organic synthesis, physical chemistry, biochemistry, and crystallography, while equally serving as supplementary reading for courses on stereochemistry, organic synthesis, or crystallography.

A Continuous Symmetry Measure(s)

Author : H. Zabrodsky
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis A Continuous Symmetry Measure(s) by : H. Zabrodsky

Download or read book A Continuous Symmetry Measure(s) written by H. Zabrodsky and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number, Shape, & Symmetry

Author : Diane L. Herrmann
Publisher : CRC Press
ISBN 13 : 1466554649
Total Pages : 446 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Number, Shape, & Symmetry by : Diane L. Herrmann

Download or read book Number, Shape, & Symmetry written by Diane L. Herrmann and published by CRC Press. This book was released on 2012-10-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.