Rigidity Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rigidity Theory and Applications write by M.F. Thorpe. This book was released on 2006-04-11. Rigidity Theory and Applications available in PDF, EPUB and Kindle. Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
Euclidean Distance Matrices and Their Applications in Rigidity Theory
Euclidean Distance Matrices and Their Applications in Rigidity Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Euclidean Distance Matrices and Their Applications in Rigidity Theory write by Abdo Y. Alfakih. This book was released on 2018-10-13. Euclidean Distance Matrices and Their Applications in Rigidity Theory available in PDF, EPUB and Kindle. This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration. Euclidean Distance Matrices and Their Applications in Rigidity Theory begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in our approach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.
Rigidity Theory and Applications
Rigidity Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rigidity Theory and Applications write by M.F. Thorpe. This book was released on 1999-05-31. Rigidity Theory and Applications available in PDF, EPUB and Kindle. Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
Rigidity and Symmetry
Rigidity and Symmetry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rigidity and Symmetry write by Robert Connelly. This book was released on 2014-06-11. Rigidity and Symmetry available in PDF, EPUB and Kindle. 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.
Rigid Designation and Theoretical Identities
Rigid Designation and Theoretical Identities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rigid Designation and Theoretical Identities write by Joseph LaPorte. This book was released on 2013. Rigid Designation and Theoretical Identities available in PDF, EPUB and Kindle. Joseph LaPorte offers an original account of the connections between the reference of words for properties and kinds, and theoretical identity statements. He argues that terms for properties, as well as for concrete objects, are rigid designators, and defends the Kripkean tradition of theoretical identities.
