Euclidean Distance Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Euclidean Distance Geometry write by Leo Liberti. This book was released on 2017-09-20. Euclidean Distance Geometry available in PDF, EPUB and Kindle. 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.
Distance Geometry
Distance Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Distance Geometry write by Antonio Mucherino. This book was released on 2015-01-28. Distance Geometry available in PDF, EPUB and Kindle. 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 Matrices and Their Applications in Rigidity Theory
Euclidean Distance Matrices and Their Applications in Rigidity Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Euclidean Distance Matrices and Their Applications in Rigidity Theory write by Abdo Y. Alfakih. This book was released on 2018-10-13. Euclidean Distance Matrices and Their Applications in Rigidity Theory available in PDF, EPUB and Kindle. This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration. Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.
Taxicab Geometry
Taxicab Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Taxicab Geometry write by Eugene F. Krause. This book was released on 2012-04-30. Taxicab Geometry available in PDF, EPUB and Kindle. 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.
Euclidean and Non-Euclidean Geometry International Student Edition
Euclidean and Non-Euclidean Geometry International Student Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Euclidean and Non-Euclidean Geometry International Student Edition write by Patrick J. Ryan. This book was released on 2009-09-04. Euclidean and Non-Euclidean Geometry International Student Edition available in PDF, EPUB and Kindle. This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
