---

＜電子ブック＞
Euclidean Distance Geometry : An Introduction / by Leo Liberti, Carlile Lavor
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	XIII, 133 p. 60 illus., 31 illus. in color : online resource
著者標目	*Liberti, Leo author Lavor, Carlile author SpringerLink (Online service)
件　名	LCSH:Convex geometry  LCSH:Discrete geometry LCSH:Mathematical optimization LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Discrete mathematics LCSH:Algorithms FREE:Convex and Discrete Geometry FREE:Discrete Optimization FREE:Discrete Mathematics in Computer Science FREE:Algorithms FREE:Discrete Mathematics
一般注記	Introduction -- 1. Motivation -- 2. The Distance Geometry Problem -- 3. Realizing Complete Graphs -- 4. Discretizability -- 5. Molecular Distance Geometry Problems -- 6.Vertex Orders -- 7. Flexibility and Rigidity -- 8. Approximate Realizations -- 9. Taking DG Further -- Appendix A. Mathematical Notions 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 inreal life HTTP:URL=https://doi.org/10.1007/978-3-319-60792-4

 類似資料