Configuration Spaces
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Configuration Spaces
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Author : Filippo Callegaro
language : en
Publisher: Springer
Release Date : 2016-08-27
Configuration Spaces written by Filippo Callegaro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-27 with Mathematics categories.
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.
Geometry And Topology Of Configuration Spaces
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Author : Edward R. Fadell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometry And Topology Of Configuration Spaces written by Edward R. Fadell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
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Author : Anders Björner
language : en
Publisher: Springer
Release Date : 2013-12-18
Configuration Spaces written by Anders Björner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-18 with Mathematics categories.
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.
The Configuration Space Method For Kinematic Design Of Mechanisms
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Author : Elisha Sacks
language : en
Publisher: MIT Press
Release Date : 2010
The Configuration Space Method For Kinematic Design Of Mechanisms written by Elisha Sacks and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
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.
Geometry And Topology Of Configuration Spaces
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Author : Edward R. Fadell
language : en
Publisher: Springer
Release Date : 2012-10-09
Geometry And Topology Of Configuration Spaces written by Edward R. Fadell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-09 with Mathematics categories.
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.
Real Homotopy Of Configuration Spaces
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Author : Najib Idrissi
language : en
Publisher: Springer Nature
Release Date : 2022-06-11
Real Homotopy Of Configuration Spaces written by Najib Idrissi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-11 with Mathematics categories.
This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds. Configuration spaces consist of collections of pairwise distinct points in a given manifold, the study of which is a classical topic in algebraic topology. One of this theory’s most important questions concerns homotopy invariance: if a manifold can be continuously deformed into another one, then can the configuration spaces of the first manifold be continuously deformed into the configuration spaces of the second? This conjecture remains open for simply connected closed manifolds. Here, it is proved in characteristic zero (i.e. restricted to algebrotopological invariants with real coefficients), using ideas from the theory of operads. A generalization to manifolds with boundary is then considered. Based on the work of Campos, Ducoulombier, Lambrechts, Willwacher, and the author, the book covers a vast array of topics, including rational homotopy theory, compactifications, PA forms, propagators, Kontsevich integrals, and graph complexes, and will be of interest to a wide audience.
Ensembles On Configuration Space
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Author : Michael J. W. Hall
language : en
Publisher: Springer
Release Date : 2016-06-11
Ensembles On Configuration Space written by Michael J. W. Hall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-11 with Science categories.
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.
Hypergeometric Functions My Love
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Author : Masaaki Yoshida
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Hypergeometric Functions My Love written by Masaaki Yoshida and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Technology & Engineering categories.
The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables. This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected. It leads the reader to a fascinating 4-dimensional world. The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
Artificial Intelligence And Symbolic Mathematical Computing
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Author : Jacques Calmet
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-10-05
Artificial Intelligence And Symbolic Mathematical Computing written by Jacques Calmet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-05 with Computers categories.
This volume contains the papers, updated in some cases, presented at the first AISMC (Artificial Intelligence and Symbolic Mathematical Computations)conference, held in Karlsruhe, August 3-6, 1992. This was the first conference to be devoted to such a topic after a long period when SMC made no appearance in AI conferences, though it used to be welcome in the early days of AI. Some conferences were held recently on mathematics and AI, but none was directly comparable in scope to this conference. Because of the novelty of the domain, authors were given longer allocations of time than usual in which to present their work. As a result, extended and fruitful discussions followed each paper. The introductory chapter in this book, which was not presented during the conference, reflects in many ways the flavor of these discussions and aims to set out the framework for future activities in this domain of research. In addition to the introduction, the volume contains 20 papers.
New Trends In Intuitive Geometry
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Author : Gergely Ambrus
language : en
Publisher: Springer
Release Date : 2018-11-03
New Trends In Intuitive Geometry written by Gergely Ambrus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.