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Euclidean Distance Geometry : An Introduction / by Leo Liberti, Carlile Lavor
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)
版 | 1st ed. 2017. |
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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 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319607924 |
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EB00230454 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA639.5-640.7 LCC:QA640.7-640.77 DC23:516 |
書誌ID | 4000119472 |
ISBN | 9783319607924 |
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※2017年9月4日以降