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Geometry and Topology of Configuration Spaces

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 461/5 ( reviews)

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Book Synopsis Geometry and Topology of Configuration Spaces by : Edward R. Fadell

Download or read book Geometry and Topology of Configuration Spaces written by Edward R. Fadell. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: With applications in mind, this self-contained monograph provides a coherent and thorough treatment of the configuration spaces of Euclidean spaces and spheres, making the subject accessible to researchers and graduates with a minimal background in classical homotopy theory and algebraic topology.

Configuration Spaces

2016-08-27 Mathematics
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Release : 2016-08-27
Genre : Mathematics
Kind : eBook
Book Rating : 803/5 ( reviews)

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Book Synopsis Configuration Spaces by : Filippo Callegaro

Download or read book Configuration Spaces written by Filippo Callegaro. This book was released on 2016-08-27. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.

Configuration Spaces

2013-12-18 Mathematics
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Release : 2013-12-18
Genre : Mathematics
Kind : eBook
Book Rating : 318/5 ( reviews)

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Book Synopsis Configuration Spaces by : Anders Björner

Download or read book Configuration Spaces written by Anders Björner. This book was released on 2013-12-18. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.

Ensembles on Configuration Space

2016-06-11 Science
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Release : 2016-06-11
Genre : Science
Kind : eBook
Book Rating : 669/5 ( reviews)

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Book Synopsis Ensembles on Configuration Space by : Michael J. W. Hall

Download or read book Ensembles on Configuration Space written by Michael J. W. Hall. This book was released on 2016-06-11. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

The Configuration Space Method for Kinematic Design of Mechanisms

2010 Computers
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Release : 2010
Genre : Computers
Kind : eBook
Book Rating : 894/5 ( reviews)

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Book Synopsis The Configuration Space Method for Kinematic Design of Mechanisms by : Elisha Sacks

Download or read book The Configuration Space Method for Kinematic Design of Mechanisms written by Elisha Sacks. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: A novel algorithmic approach to mechanism design based on a geometric representation of kinematic function called configuration space partitions. This book presents the configuration space method for computer-aided design of mechanisms with changing part contacts. Configuration space is a complete and compact geometric representation of part motions and part interactions that supports the core mechanism design tasks of analysis, synthesis, and tolerancing. It is the first general algorithmic treatment of the kinematics of higher pairs with changing contacts. It will help designers detect and correct design flaws and unexpected kinematic behaviors, as demonstrated in the book's four case studies taken from industry. After presenting the configuration space framework and algorithms for mechanism kinematics, the authors describe algorithms for kinematic analysis, tolerancing, and synthesis based on configuration spaces. The case studies follow, illustrating the application of the configuration space method to the analysis and design of automotive, micro-mechanical, and optical mechanisms. Appendixes offer a catalog of higher-pair mechanisms and a description of HIPAIR, an open source C++ mechanical design system that implements some of the configuration space methods described in the book, including configuration space visualization and kinematic simulation. HIPAIR comes with an interactive graphical user interface and many sample mechanism input files. The Configuration Space Method for Kinematic Design of Mechanisms will be a valuable resource for students, researchers, and engineers in mechanical engineering, computer science, and robotics.

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