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001 978-3-319-60792-4
003 DE-He213
005 20181204134423.0
007 cr nn 008mamaa
008 170921s2017 gw | s |||| 0|eng d
020 _a9783319607924
_9978-3-319-60792-4
024 7 _a10.1007/978-3-319-60792-4
_2doi
040 _aISI Library, Kolkata
050 4 _aQA639.5-640.7
050 4 _aQA640.7-640.77
072 7 _aPBMW
_2bicssc
072 7 _aMAT012020
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072 7 _aPBMW
_2thema
072 7 _aPBD
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082 0 4 _a516.1
_223
100 1 _aLiberti, Leo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aEuclidean Distance Geometry
_h[electronic resource] :
_bAn Introduction /
_cby Leo Liberti, Carlile Lavor.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIII, 133 p. 60 illus., 31 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
505 0 _aIntroduction -- 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.
520 _aThis 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.
650 0 _aDiscrete groups.
650 0 _aComputational complexity.
650 0 _aAlgorithms.
650 1 4 _aConvex and Discrete Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21014
650 2 4 _aDiscrete Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26040
650 2 4 _aDiscrete Mathematics in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/I17028
650 2 4 _aAlgorithms.
_0http://scigraph.springernature.com/things/product-market-codes/M14018
650 2 4 _aDiscrete Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M29000
700 1 _aLavor, Carlile.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319607917
776 0 8 _iPrinted edition:
_z9783319607931
776 0 8 _iPrinted edition:
_z9783319869346
830 0 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
856 4 0 _uhttps://doi.org/10.1007/978-3-319-60792-4
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427339
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