Distance Geometry

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Distance Geometry

Author : Antonio Mucherino
Publisher : Springer
ISBN 13 : 9781489985781
Total Pages : 0 pages
Book Rating : 4.9/5 (857 download)

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Book Synopsis Distance Geometry by : Antonio Mucherino

Download or read book Distance Geometry written by Antonio Mucherino and published by Springer. This book was released on 2015-01-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of research surveys on the Distance Geometry Problem (DGP) and its applications. It will be divided into three parts: Theory, Methods and Applications. Each part will contain at least one survey and several research papers. The first part, Theory, will deal with theoretical aspects of the DGP, including a new class of problems and the study of its complexities as well as the relation between DGP and other related topics, such as: distance matrix theory, Euclidean distance matrix completion problem, multispherical structure of distance matrices, distance geometry and geometric algebra, algebraic distance geometry theory, visualization of K-dimensional structures in the plane, graph rigidity, and theory of discretizable DGP: symmetry and complexity. The second part, Methods, will discuss mathematical and computational properties of methods developed to the problems considered in the first chapter including continuous methods (based on Gaussian and hyperbolic smoothing, difference of convex functions, semidefinite programming, branch-and-bound), discrete methods (based on branch-and-prune, geometric build-up, graph rigidity), and also heuristics methods (based on simulated annealing, genetic algorithms, tabu search, variable neighborhood search). Applications will comprise the third part and will consider applications of DGP to NMR structure calculation, rational drug design, molecular dynamics simulations, graph drawing and sensor network localization. This volume will be the first edited book on distance geometry and applications. The editors are in correspondence with the major contributors to the field of distance geometry, including important research centers in molecular biology such as Institut Pasteur in Paris.

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.

An Introduction to Distance Geometry applied to Molecular Geometry

Author : Carlile Lavor
Publisher : Springer
ISBN 13 : 3319571834
Total Pages : 59 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis An Introduction to Distance Geometry applied to Molecular Geometry by : Carlile Lavor

Download or read book An Introduction to Distance Geometry applied to Molecular Geometry written by Carlile Lavor and published by Springer. This book was released on 2017-07-12 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a pedagogical presentation aimed at advanced undergraduate students, beginning graduate students and professionals who are looking for an introductory text to the field of Distance Geometry, and some of its applications. This versions profits from feedback acquired at undergraduate/graduate courses in seminars and a number of workshops.

Reviews in Computational Chemistry, Volume 5

Author : Kenny B. Lipkowitz
Publisher : John Wiley & Sons
ISBN 13 : 0470126094
Total Pages : 482 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Reviews in Computational Chemistry, Volume 5 by : Kenny B. Lipkowitz

Download or read book Reviews in Computational Chemistry, Volume 5 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2009-09-22 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Führende Experten auf dem Gebiet der Computer-Chemie präsentieren in dem fünften Band der erfolgreichen Reihe 'Reviews in Computational Chemistry' die neuesten Entwicklungen. Um den interessierten Chemiker auf dem aktuellen Stand zu halten, ist der Reihe im Anhang eine Liste mit der Software zum Thema beigefügt

Taxicab Geometry

Author : Eugene F. Krause
Publisher : Courier Corporation
ISBN 13 : 048613606X
Total Pages : 99 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Taxicab Geometry by : Eugene F. Krause

Download or read book Taxicab Geometry written by Eugene F. Krause and published by Courier Corporation. This book was released on 2012-04-30 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.

An Essay on the Foundations of Geometry

Author : Bertrand Russell
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis An Essay on the Foundations of Geometry by : Bertrand Russell

Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by . This book was released on 1897 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Foundations of Geometry and the Non-Euclidean Plane

Author : G.E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461257255
Total Pages : 525 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Foundations of Geometry and the Non-Euclidean Plane by : G.E. Martin

Download or read book The Foundations of Geometry and the Non-Euclidean Plane written by G.E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.

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:

Exterior Ballistics

Author : Edward James McShane
Publisher :
ISBN 13 :
Total Pages : 864 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Exterior Ballistics by : Edward James McShane

Download or read book Exterior Ballistics written by Edward James McShane and published by . This book was released on 1953 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distance Geometries

Author : Leonard Mascot Blumenthal
Publisher : Columbia : The University of Missouri
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Distance Geometries by : Leonard Mascot Blumenthal

Download or read book Distance Geometries written by Leonard Mascot Blumenthal and published by Columbia : The University of Missouri. This book was released on 1938 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In the study we are concerned with the metric properties of certain abstract spaces; our interest is in the development of geometries based upon a single completely undefined element, point, and a single bi-point numerical relation, distance--the essential properties of the latter being given by sets of simple postulates. We shall refer to such a geometry as an abstract metric geometry, or a geometry of distances"--Preface.

Geometry of Quantum States

Author : Ingemar Bengtsson
Publisher : Cambridge University Press
ISBN 13 : 1108293492
Total Pages : 637 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Geometry of Quantum States by : Ingemar Bengtsson

Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Geometry

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 147572022X
Total Pages : 405 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Geometry by : Serge Lang

Download or read book Geometry written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.

A Course in Metric Geometry

Author : Dmitri Burago
Publisher : American Mathematical Society
ISBN 13 : 1470468530
Total Pages : 415 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Course in Metric Geometry by : Dmitri Burago

Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.

Frontiers And Prospects Of Contemporary Applied Mathematics

Author : Pingwen Zhang
Publisher : World Scientific
ISBN 13 : 9814478512
Total Pages : 276 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Frontiers And Prospects Of Contemporary Applied Mathematics by : Pingwen Zhang

Download or read book Frontiers And Prospects Of Contemporary Applied Mathematics written by Pingwen Zhang and published by World Scientific. This book was released on 2006-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.

Geometry

Author : Richard S. Millman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387974125
Total Pages : 394 pages
Book Rating : 4.9/5 (741 download)

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Book Synopsis Geometry by : Richard S. Millman

Download or read book Geometry written by Richard S. Millman and published by Springer Science & Business Media. This book was released on 1993-05-07 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.

College Geometry

Author : David C. Kay
Publisher : CRC Press
ISBN 13 : 1439819114
Total Pages : 655 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis College Geometry by : David C. Kay

Download or read book College Geometry written by David C. Kay and published by CRC Press. This book was released on 2011-06-24 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.

Geometry: The Line and the Circle

Author : Maureen T. Carroll
Publisher : American Mathematical Soc.
ISBN 13 : 1470448432
Total Pages : 502 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry: The Line and the Circle by : Maureen T. Carroll

Download or read book Geometry: The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.