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Minisum Hyperspheres

Minisum Hyperspheres PDF Author: Mark-Christoph Körner
Publisher: Springer Science & Business Media
ISBN: 1441998071
Category : Mathematics
Languages : en
Pages : 121

Book Description
This book presents a self-contained introduction to the theory of minisum hyperspheres. This specialized research area within the larger field of geometric optimization is full of interesting and open problems. This work provides an overview of the history of minisum hyperspheres as well as describes the best techniques for developing and solving minisum hypersphere problems. Various related areas of geometric and nonlinear optimization are also discussed. As the first publication devoted to this area of research, this work will be of great interest to graduate-level researchers studying minisum hypersphere problems as well as mathematicians interested geometric optimization.

Minisum Hyperspheres

Minisum Hyperspheres PDF Author: Mark-Christoph Körner
Publisher: Springer Science & Business Media
ISBN: 1441998071
Category : Mathematics
Languages : en
Pages : 121

Book Description
This book presents a self-contained introduction to the theory of minisum hyperspheres. This specialized research area within the larger field of geometric optimization is full of interesting and open problems. This work provides an overview of the history of minisum hyperspheres as well as describes the best techniques for developing and solving minisum hypersphere problems. Various related areas of geometric and nonlinear optimization are also discussed. As the first publication devoted to this area of research, this work will be of great interest to graduate-level researchers studying minisum hypersphere problems as well as mathematicians interested geometric optimization.

Geometry of Lie Groups

Geometry of Lie Groups PDF Author: B. Rosenfeld
Publisher: Springer Science & Business Media
ISBN: 147575325X
Category : Mathematics
Languages : en
Pages : 414

Book Description
This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.

A Treatise on the Line Complex

A Treatise on the Line Complex PDF Author:
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 390

Book Description


Introduction to the Geometry of N Dimensions

Introduction to the Geometry of N Dimensions PDF Author: D. M.Y. Sommerville
Publisher: Courier Dover Publications
ISBN: 0486842487
Category : Mathematics
Languages : en
Pages : 224

Book Description
Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.

Location Science

Location Science PDF Author: Gilbert Laporte
Publisher: Springer Nature
ISBN: 3030321770
Category : Business & Economics
Languages : en
Pages : 767

Book Description
This book presents essential information on modern location science – in a word, all you need to know about location. The second edition of this handbook has been fully revised throughout, with numerous updates and chapters added, to offer an even more comprehensive overview of methods and applications. The book is divided into three parts: basic concepts, advanced concepts and applications. Written by the most respected specialists in the field and thoroughly reviewed by the editors, it first lays out the fundamental problems in location science and provides readers with basic background information on location theory. Part II covers advanced models and concepts, broadening and expanding on the content presented in Part I. It also discusses important tools to help readers grasp and solve real-world location problems. Part III focuses on the links between location science and other areas like GIS, telecommunications, healthcare, rapid transit networks, districting problems and disaster events, and presents a wide range of applications to allow readers to understand the role of facility location in such areas and learn how to handle real-world location problems. The book is intended for researchers working on theory and applications involving location problems and models. It is also suitable as a textbook for graduate courses on facility location.

Global Affine Differential Geometry of Hypersurfaces

Global Affine Differential Geometry of Hypersurfaces PDF Author: An-Min Li
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110268892
Category : Mathematics
Languages : en
Pages : 378

Book Description
This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.

Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery PDF Author: Attila Kuba
Publisher: Springer Science & Business Media
ISBN: 3540476512
Category : Computers
Languages : en
Pages : 701

Book Description
This book constitutes the refereed proceedings of the 13th International Conference on Discrete Geometry for Computer Imagery, DGCI 2006, held in Szeged, Hungary in October 2006. The 28 revised full papers and 27 revised poster papers presented together with two invited papers were carefully reviewed and selected from 99 submissions.

Hypersphere

Hypersphere PDF Author: Anonymous
Publisher: Lulu.com
ISBN: 132978152X
Category : Fiction
Languages : en
Pages : 740

Book Description
Hypersphere, written by Anonymous with the help of the 4chan board /lit/ (of The Legacy of Totalitarianism in a Tundra fame) is an epic tale spanning over 700 pages. A postmodern collaborative writing effort containing Slavoj Zizek erotica, top secret Donald Trump emails, poetry, repair instructions for future cars, a history of bottles in the Ottoman empire; actually, it contains everything since it takes place in the Hypersphere, and the Hypersphere is a big place; really big in fact.

Neural Information Processing

Neural Information Processing PDF Author: Irwin King
Publisher: Springer Science & Business Media
ISBN: 3540464816
Category : Computers
Languages : en
Pages : 1225

Book Description
The three volume set LNCS 4232, LNCS 4233, and LNCS 4234 constitutes the refereed proceedings of the 13th International Conference on Neural Information Processing, ICONIP 2006, held in Hong Kong, China in October 2006. The 386 revised full papers presented were carefully reviewed and selected from 1175 submissions.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics PDF Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253

Book Description
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d