Eulerian Spaces
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Eulerian Spaces
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Author : Paul Gartside
language : en
Publisher: American Mathematical Society
Release Date : 2024-01-26
Eulerian Spaces written by Paul Gartside and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-26 with Mathematics categories.
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Geometry Of Digital Spaces
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Author : Gabor T. Herman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometry Of Digital Spaces written by Gabor T. Herman 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.
"La narraci6n literaria es la evocaci6n de las nostalgias. " ("Literary narration is the evocation of nostalgia. ") G. G. Marquez, interview in Puerta del Sol, VII, 4, 1996. A Personal Prehistory In 1972 I started cooperating with members of the Biodynamics Research Unit at the Mayo Clinic in Rochester, Minnesota, which was under the direction of Earl H. Wood. At that time, their ambitious (and eventually realized) dream was to build the Dynamic Spatial Reconstructor (DSR), a device capable of collecting data regarding the attenuation of X-rays through the human body fast enough for stop-action imaging the full extent of the beating heart inside the thorax. Such a device can be applied to study the dynamic processes of cardiopulmonary physiology, in a manner similar to the application of an ordinary cr (computerized tomography) scanner to observing stationary anatomy. The standard method of displaying the information produced by a cr scanner consists of showing two-dimensional images, corresponding to maps of the X-ray attenuation coefficient in slices through the body. (Since different tissue types attenuate X-rays differently, such maps provide a good visualization of what is in the body in those slices; bone - which attenuates X-rays a lot - appears white, air appears black, tumors typically appear less dark than the surrounding healthy tissue, etc. ) However, it seemed to me that this display mode would not be appropriate for the DSR.
Optimal Mass Transport On Euclidean Spaces
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Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2023-11-16
Optimal Mass Transport On Euclidean Spaces written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-16 with Mathematics categories.
A pedagogical introduction to the key ideas and theoretical foundation of optimal mass transport for a graduate course or self-study.
Categorical Framework For The Study Of Singular Spaces
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Author : William Fulton
language : en
Publisher: American Mathematical Soc.
Release Date : 1981
Categorical Framework For The Study Of Singular Spaces written by William Fulton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
In several areas of geometry and topology it has become apparent that the traditional covariant and contravariant functors are insufficient, particularly for dealing with geometric questions about singular spaces. We develop here a new formalism called bivariant theories. These are simultaneous generalizations of covariant group valued "homology-like" theories and contravariant ring valued "cohomology-like" theories. Most traditional pairs of covariant and contravariant theories turn out to extend to bivariant theories. A bivariant theory assigns a group not to an object but to a morphism of the original category; it has products compatible with composition of morphisms. We will also define transformations from one bivariant theory to another, called Grothendieck transformations, which generalize ordinary natural transformations. A number of standard natural transformations turn out to extend to Grothendieck transformations, and this extension has deep consequences.
Recent Progress In The Theory Of The Euler And Navier Stokes Equations
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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-21
Recent Progress In The Theory Of The Euler And Navier Stokes Equations written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Mathematics categories.
An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.
Predicting Hydrocarbon Fate In The Ocean Processes Parameterizations And Coupled Modeling
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Author : Robert Hetland
language : en
Publisher: Frontiers Media SA
Release Date : 2022-03-18
Predicting Hydrocarbon Fate In The Ocean Processes Parameterizations And Coupled Modeling written by Robert Hetland and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-18 with Science categories.
The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher: CRC Press
Release Date : 2001-12-12
The Shape Of Space written by Jeffrey R. Weeks and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-12 with Mathematics categories.
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Integrable Problems Of Celestial Mechanics In Spaces Of Constant Curvature
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Author : T.G. Vozmischeva
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-31
Integrable Problems Of Celestial Mechanics In Spaces Of Constant Curvature written by T.G. Vozmischeva 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 2003-10-31 with Science categories.
Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.
Hybrid Systems Computation And Control
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Author : Manfred Morari
language : en
Publisher: Springer
Release Date : 2005-02-25
Hybrid Systems Computation And Control written by Manfred Morari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-25 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Workshop on Hybrid Systems: Computation and Control, HSCC 2005, held in Zurich, Switzerland in March 2005. The 40 revised full papers presented together with 2 invited papers and the abstract of an invited talk were carefully reviewed and selected from 91 submissions. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation.
Space And Astrophysical Plasma Simulation
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Author : Jörg Büchner
language : en
Publisher: Springer Nature
Release Date : 2023-03-01
Space And Astrophysical Plasma Simulation written by Jörg Büchner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-01 with Science categories.
This book is a collection of contributions covering the major subjects in numerical simulation of space and astrophysical plasma. It introduces the different approaches and methods to model plasma, the necessary computational codes, and applications in the field. The book is rooted in the previous work Space Plasma Simulation (Springer, 2003) and includes the latest developments. It is divided into three parts and all chapters start with an introduction motivating the topic and its use in research and ends with a discussion of its applications. The chapters of the first part contain tutorials of the different basic approaches needed to perform space plasma simulations. This part is particularly useful for graduate students to master the subject. The second part presents more advanced materials for students and researchers who already work with pre-existing codes but want to implement the recent progresses made in the field. The last part of the book discusses developments in the area for researchers who are actively working on advanced simulation approaches like higher order schemes and artificial intelligence, agent-based technologies for multiscale and multi-dimensional systems, which represent the recent innovative contributions made in space plasma research.