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Titlebook: Rigidity and Symmetry; Robert Connelly,Asia Ivi? Weiss,Walter Whiteley Book 2014 Springer Science+Business Media New York 2014 Cauchy iden

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發(fā)表于 2025-3-21 18:48:18 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Rigidity and Symmetry
編輯Robert Connelly,Asia Ivi? Weiss,Walter Whiteley
視頻videohttp://file.papertrans.cn/831/830387/830387.mp4
概述Presents state-of-the-art on the fields of rigidity and symmetry.Explores the interaction of geometry, algebra and combinatorics, presenting recent trends and advances in discrete geometry.Extends cla
叢書名稱Fields Institute Communications
圖書封面Titlebook: Rigidity and Symmetry;  Robert Connelly,Asia Ivi? Weiss,Walter Whiteley Book 2014 Springer Science+Business Media New York 2014 Cauchy iden
描述.This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology..Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme.?The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists..
出版日期Book 2014
關(guān)鍵詞Cauchy identity; Peterson algebras; Pieri rules; abstract polytope theory; infinite groups; rigidity theo
版次1
doihttps://doi.org/10.1007/978-1-4939-0781-6
isbn_softcover978-1-4939-4970-0
isbn_ebook978-1-4939-0781-6Series ISSN 1069-5265 Series E-ISSN 2194-1564
issn_series 1069-5265
copyrightSpringer Science+Business Media New York 2014
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沙發(fā)
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Generic Global Rigidity in Complex and Pseudo-Euclidean Spaces,erically globally rigid in a complex or pseudo-Euclidean space. We also establish that global rigidity is always a generic property of a graph in complex space, and give a sufficient condition for it to be a generic property in a pseudo-Euclidean space. Extensions to hyperbolic space are also discussed.
地板
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Two Notes on Maps and Surface Symmetry,er of the graph underlying a regular map is . = 2, 3, 4, 6; for . = 6 the map must be non-orientable and for . = 4, 6 the graph has a .. factorization. Here a regular map is one having maximal symmetry: reflections in all edges and full rotational symmetry about every vertex, edge and face.
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Local, Dimensional and Universal Rigidities: A Unified Gram Matrix Approach,rameworks. This PGM-based approach makes these problems amenable to semidefinite programming methodology; and naturally gives rise to results expressed in terms of Gale matrices. We survey known results emphasizing numerical examples and proofs which highlight the salient aspects of this approach.
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