Автор: Liberti, Leo, Lavor, Carlile
Название: Euclidean Distance Geometry: An Introduction
Издательство: Springer
Год: 2017
Серия: Springer Undergraduate Texts in Mathematics and Technology
ISBN: 9783319607924
Язык: English
Формат: epub, pdf
Размер: 10,1 mb
Страниц: XIII, 133
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.
The Distance Geometry Problem
Liberti, Leo (et al.)
Pages 9-18
Realizing complete graphs
Liberti, Leo (et al.)
Pages 19-30
Discretizability
Liberti, Leo (et al.)
Pages 31-42
Molecular distance geometry problems
Liberti, Leo (et al.)
Pages 43-55
Vertex orders
Liberti, Leo (et al.)
Pages 57-65
Flexibility and rigidity
Liberti, Leo (et al.)
Pages 67-79
Approximate realizations
Liberti, Leo (et al.)
Pages 81-92
Taking DG further
Liberti, Leo (et al.)
Pages 93-96
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Euclidean Distance Geometry: An Introduction 
