Global Rigidity And Symmetry Of Direction Length Frameworks

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Rigidity and Symmetry

Author : Robert Connelly
Publisher : Springer
ISBN 13 : 1493907816
Total Pages : 378 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Rigidity and Symmetry by : Robert Connelly

Download or read book Rigidity and Symmetry written by Robert Connelly and published by Springer. This book was released on 2014-06-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.

Handbook of Discrete and Computational Geometry

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1498711421
Total Pages : 1928 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth

Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

Handbook of Geometric Constraint Systems Principles

Author : Meera Sitharam
Publisher : CRC Press
ISBN 13 : 1351647431
Total Pages : 711 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Handbook of Geometric Constraint Systems Principles by : Meera Sitharam

Download or read book Handbook of Geometric Constraint Systems Principles written by Meera Sitharam and published by CRC Press. This book was released on 2018-07-20 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.

Graphs and Combinatorial Optimization: from Theory to Applications

Author : Claudio Gentile
Publisher : Springer Nature
ISBN 13 : 3030630722
Total Pages : 408 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Graphs and Combinatorial Optimization: from Theory to Applications by : Claudio Gentile

Download or read book Graphs and Combinatorial Optimization: from Theory to Applications written by Claudio Gentile and published by Springer Nature. This book was released on 2021-03-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new and original contributions on Graph Theory and Combinatorial Optimization both from the theoretical point of view and from applications in all fields. The book chapters describe models and methods based on graphs, structural properties, discrete optimization, network optimization, mixed-integer programming, heuristics, meta-heuristics, math-heuristics, and exact methods as well as applications. The book collects selected contributions from the CTW2020 international conference (18th Cologne-Twente Workshop on Graphs and Combinatorial Optimization), held online on September 14-16, 2020. The conference was organized by IASI-CNR with the contribution of University of Roma Tre, University Roma Tor Vergata, and CNRS-LIX and with the support of AIRO. It is addressed to researchers, PhD students, and practitioners in the fields of Graph Theory, Discrete Mathematics, Combinatorial Optimization, and Operations Research.

A Framework for K-12 Science Education

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309214459
Total Pages : 400 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis A Framework for K-12 Science Education by : National Research Council

Download or read book A Framework for K-12 Science Education written by National Research Council and published by National Academies Press. This book was released on 2012-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.

Shaping Space

Author : Marjorie Senechal
Publisher : Springer Science & Business Media
ISBN 13 : 038792714X
Total Pages : 334 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Shaping Space by : Marjorie Senechal

Download or read book Shaping Space written by Marjorie Senechal and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

Rigidity Theory and Applications

Author : M.F. Thorpe
Publisher : Springer Science & Business Media
ISBN 13 : 0306470896
Total Pages : 435 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Rigidity Theory and Applications by : M.F. Thorpe

Download or read book Rigidity Theory and Applications written by M.F. Thorpe and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.

Distance Geometry and Molecular Conformation

Author : G. M. Crippen
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 564 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Distance Geometry and Molecular Conformation by : G. M. Crippen

Download or read book Distance Geometry and Molecular Conformation written by G. M. Crippen and published by John Wiley & Sons. This book was released on 1988 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics and Literature

Author : Aura Heydenreich
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110481251
Total Pages : 335 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Physics and Literature by : Aura Heydenreich

Download or read book Physics and Literature written by Aura Heydenreich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-12-20 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics and Literature is a unique collaboration between physicists, literary scholars, and philosophers, the first collection of essays to examine together how science and literature, beneath their practical differences, share core dimensions – forms of questioning, thinking, discovering and communicating insights.This book advances an in-depth exploration of relations between physics and literature from both perspectives. It turns around the tendency to discuss relations between literature and science in one-sided and polarizing ways. The collection is the result of the inaugural conference of ELINAS, the Erlangen Center for Literature and Natural Science, an initiative dedicated to building bridges between literary and scientific research. ELINAS revitalizes discussion of science-literature interconnections with new topics, ideas and angles, by organizing genuine dialogue among participants across disciplinary lines. The essays explore how scientific thought and practices are conditioned by narrative and genre, fiction, models and metaphors, and how science in turn feeds into the meaning-making of literary and philosophical texts. These interdisciplinary encounters enrich reflections on epistemology, cognition and aesthetics.

Properties of Materials

Author : Robert E. Newnham
Publisher : Oxford University Press
ISBN 13 : 0198520751
Total Pages : 391 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Properties of Materials by : Robert E. Newnham

Download or read book Properties of Materials written by Robert E. Newnham and published by Oxford University Press. This book was released on 2005 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystals are sometimes called 'Flowers of the Mineral Kingdom'. In addition to their great beauty, crystals and other textured materials are enormously useful in electronics, optics, acoustics and many other engineering applications. This richly illustrated text describes the underlying principles of crystal physics and chemistry, covering a wide range of topics and illustrating numerous applications in many fields of engineering using the most important materials today. Tensors, matrices, symmetry and structure-property relationships form the main subjects of the book. While tensors and matrices provide the mathematical framework for understanding anisotropy, on which the physical and chemical properties of crystals and textured materials often depend, atomistic arguments are also needed to quantify the property coefficients in various directions. The atomistic arguments are partly based on symmetry and partly on the basic physics and chemistry of materials. After introducing the point groups appropriate for single crystals, textured materials and ordered magnetic structures, the directional properties of many different materials are described: linear and nonlinear elasticity, piezoelectricity and electrostriction, magnetic phenomena, diffusion and other transport properties, and both primary and secondary ferroic behavior. With crystal optics (its roots in classical mineralogy) having become an important component of the information age, nonlinear optics is described along with the piexo-optics, magneto-optics, and analogous linear and nonlinear acoustic wave phenomena. Enantiomorphism, optical activity, and chemical anisotropy are discussed in the final chapters of the book.

Handbook of Convex Geometry

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080934404
Total Pages : 769 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.

Introduction to Reticular Chemistry

Author : Omar M. Yaghi
Publisher : John Wiley & Sons
ISBN 13 : 3527821104
Total Pages : 742 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Introduction to Reticular Chemistry by : Omar M. Yaghi

Download or read book Introduction to Reticular Chemistry written by Omar M. Yaghi and published by John Wiley & Sons. This book was released on 2019-03-22 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to the chemistry and design principles behind important metal-organic frameworks and related porous materials Reticular chemistry has been applied to synthesize new classes of porous materials that are successfully used for myraid applications in areas such as gas separation, catalysis, energy, and electronics. Introduction to Reticular Chemistry gives an unique overview of the principles of the chemistry behind metal-organic frameworks (MOFs), covalent organic frameworks (COFs), and zeolitic imidazolate frameworks (ZIFs). Written by one of the pioneers in the field, this book covers all important aspects of reticular chemistry, including design and synthesis, properties and characterization, as well as current and future applications Designed to be an accessible resource, the book is written in an easy-to-understand style. It includes an extensive bibliography, and offers figures and videos of crystal structures that are available as an electronic supplement. Introduction to Reticular Chemistry: -Describes the underlying principles and design elements for the synthesis of important metal-organic frameworks (MOFs) and related materials -Discusses both real-life and future applications in various fields, such as clean energy and water adsorption -Offers all graphic material on a companion website -Provides first-hand knowledge by Omar Yaghi, one of the pioneers in the field, and his team. Aimed at graduate students in chemistry, structural chemists, inorganic chemists, organic chemists, catalytic chemists, and others, Introduction to Reticular Chemistry is a groundbreaking book that explores the chemistry principles and applications of MOFs, COFs, and ZIFs.

Scale Invariance

Author : Annick LESNE
Publisher : Springer Science & Business Media
ISBN 13 : 364215123X
Total Pages : 406 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Scale Invariance by : Annick LESNE

Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.

The Fourth International Workshop on Neutrino Oscillations and Their Origin

Author : Y. Suzuki
Publisher : World Scientific
ISBN 13 : 9789812703101
Total Pages : 500 pages
Book Rating : 4.7/5 (31 download)

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Book Synopsis The Fourth International Workshop on Neutrino Oscillations and Their Origin by : Y. Suzuki

Download or read book The Fourth International Workshop on Neutrino Oscillations and Their Origin written by Y. Suzuki and published by World Scientific. This book was released on 2004 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. Contents: Status and Future Prospects of Reactor Neutrinos, Solar Neutrinos, and Supernova Neutrinos; Status and Future Prospects of Long Baseline Neutrino Experiments, Atmospheric Neutrinos; Dark Matter Searches and Double Beta Decays; Lepton Number Violated Muon Decays; Proton Decay Searches; Neutrino Phenomenology and Model Building.

Euclidean Distance Geometry

Author : Leo Liberti
Publisher : Springer
ISBN 13 : 3319607928
Total Pages : 141 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Euclidean Distance Geometry by : Leo Liberti

Download or read book Euclidean Distance Geometry written by Leo Liberti and published by Springer. This book was released on 2017-09-20 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, the first of its kind, presents the fundamentals of distance geometry: theory, useful methodologies for obtaining solutions, and real world applications. Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica®, enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in visualization of graphs, localization of sensor networks, protein conformation from distance data, clock synchronization protocols, robotics, and control of unmanned underwater vehicles, to name several. Aimed at intermediate undergraduates, beginning graduate students, researchers, and practitioners, the reader with a basic knowledge of linear algebra will gain an understanding of the basic theories of distance geometry and why they work in real life.

Connections

Author : Jay Kappraff
Publisher : World Scientific
ISBN 13 : 9789812811394
Total Pages : 528 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Connections by : Jay Kappraff

Download or read book Connections written by Jay Kappraff and published by World Scientific. This book was released on 2001 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

An Introduction to Extremal Kahler Metrics

Author : Gábor Székelyhidi
Publisher : American Mathematical Soc.
ISBN 13 : 1470410478
Total Pages : 210 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Introduction to Extremal Kahler Metrics by : Gábor Székelyhidi

Download or read book An Introduction to Extremal Kahler Metrics written by Gábor Székelyhidi and published by American Mathematical Soc.. This book was released on 2014-06-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.