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Titlebook: Euclidean Distance Geometry; An Introduction Leo Liberti,Carlile Lavor Textbook 2017 Springer International Publishing Switzerland 2017 con

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发表于 2025-3-21 17:14:58 | 显示全部楼层 |阅读模式
书目名称Euclidean Distance Geometry
副标题An Introduction
编辑Leo Liberti,Carlile Lavor
视频video
概述Solutions manual is available to instructors on springer.com.Essential and well-illustrated guide to distance geometry.Incorporates methodologies, solid explanations, and exercises in each chapter.Con
丛书名称Springer Undergraduate Texts in Mathematics and Technology
图书封面Titlebook: Euclidean Distance Geometry; An Introduction Leo Liberti,Carlile Lavor Textbook 2017 Springer International Publishing Switzerland 2017 con
描述.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..
出版日期Textbook 2017
关键词convex optimization; complete graphs; discretizability; K-laterative graphs; Mathematica; vertex orders; B
版次1
doihttps://doi.org/10.1007/978-3-319-60792-4
isbn_softcover978-3-319-86934-6
isbn_ebook978-3-319-60792-4Series ISSN 1867-5506 Series E-ISSN 1867-5514
issn_series 1867-5506
copyrightSpringer International Publishing Switzerland 2017
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发表于 2025-3-22 04:08:05 | 显示全部楼层
https://doi.org/10.1007/978-3-658-08135-5This book is a basic introduction to Distance Geometry (DG):it gives an overview of the mathematical theory of DG. Our point of view derives from our motivation to apply DG methods to the problem of finding the structure of proteins given some of the interatomic distances.
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Felix Wolter,Peter PreisendörferIn this chapter, we consider the DGP on a very specific class of graphs: the (. + 1)-cliques, i.e., complete graphs on . + 1 vertices, where . is the dimension of the embedding space ..
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A. Boscolo,E. Menosso,B. Piuzzi,M. ToppanoThe . (MDGP) [86] is the subclass of DGP instances with .=3. Since the DGP is .-hard for each . [107], the MDGP is also .-hard.
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https://doi.org/10.1007/978-1-4419-1040-0In this chapter, we propose some methods for realizing large graphs.These methods do not explicitly rely on the adjacency structure of the graph, and are mostly based on linear algebra.
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