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Author: R. Lowen
Publisher: Springer
ISBN: 1447164857
Category : Mathematics
Languages : en
Pages : 477
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Book Description
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
Author: R. Lowen
Publisher: Springer
ISBN: 1447164857
Category : Mathematics
Languages : en
Pages : 477
Get Book Here
Book Description
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis. Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories. Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
Author: United States
Publisher:
ISBN:
Category :
Languages : en
Pages : 1180
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Book Description
Author: D.D. Bleecker
Publisher: Springer Science & Business Media
ISBN: 1468406272
Category : Mathematics
Languages : en
Pages : 467
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Book Description
The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spi te of i ts difficulty and immensely rich interrela tions, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle * semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the many facetted and always new presentations of the material by M. F.
Author: United States. Adjutant-General's Office. Personnel Research Branch
Publisher:
ISBN:
Category : Psychology
Languages : en
Pages : 26
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Book Description
Author: Yan Wang
Publisher: Springer Nature
ISBN: 981154462X
Category : Science
Languages : en
Pages : 291
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Book Description
This book provides energy efficiency quantitative analysis and optimal methods for discrete manufacturing systems from the perspective of global optimization. In order to analyze and optimize energy efficiency for discrete manufacturing systems, it uses real-time access to energy consumption information and models of the energy consumption, and constructs an energy efficiency quantitative index system. Based on the rough set and analytic hierarchy process, it also proposes a principal component quantitative analysis and a combined energy efficiency quantitative analysis. In turn, the book addresses the design and development of quantitative analysis systems. To save energy consumption on the basis of energy efficiency analysis, it presents several optimal control strategies, including one for single-machine equipment, an integrated approach based on RWA-MOPSO, and one for production energy efficiency based on a teaching and learning optimal algorithm. Given its scope, the book offers a valuable guide for students, teachers, engineers and researchers in the field of discrete manufacturing systems.
Author: United States. Bureau of Labor Statistics
Publisher:
ISBN:
Category : Industrial statistics
Languages : en
Pages : 728
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Book Description
Author: Edmund Ezra Day
Publisher:
ISBN:
Category : Statistics
Languages : en
Pages : 496
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Book Description
Author: Roswell Dwight Hitchcock
Publisher:
ISBN:
Category : Bible
Languages : en
Pages : 1292
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Book Description
Author: Beijing Academy of Social Sciences
Publisher: Springer Nature
ISBN: 9811566798
Category : Political Science
Languages : en
Pages : 376
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Book Description
This book provides an overview of the rapid development Beijing has seen in a wide range of areas in 2018, both in itself and as an integral part of a larger region, as China’s economic development continues to improve in overall quality and regional coordination. General reports on progress Beijing made and problems it faced in 2018 in improving its economy, public services, and municipal and community governance, urban planning, and funding for innovations are followed by case studies that look at best practices and how they can be applied towards promoting coordinated development of the Beijing-Tianjin-Hebei region. The strategy features prominently in the outlook contributors present for the greater metropolitan area of Beijing for 2019. This book is a valuable source of reference for anyone trying to gain a better understanding the what, how, and why in relation to one of the world’s fastest growing mega-cities.
Author: Buff Pelz Dormeier
Publisher: FT Press
ISBN: 0132613298
Category : Business & Economics
Languages : en
Pages : 464
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Book Description
In the continual pursuit for higher profits, investors and traders alike often assume significantly higher risks while chasing the next hot opportunity. Other more sophisticated investors attempt to employ complicated indicators while not fully understanding the information the indicator was designed to reveal. On the other hand, savvy investors employ analysis to gauge the market, positioning themselves to potentially earn higher profits with significantly less risk. Volume analysis attempts to delve deep inside the market trends to help identify shifts within the markets. Investing with Volume Analysis: Identify, Follow, and Profit from Trendspresents an enlightened perspective on the role of volume, not only in pragmatic terms but also in terms of apprehending the underlying rationale of how and why. Award-winning technical analyst Buff Pelz Dormeier teaches state-of-the-art methods for analyzing the relationship of volume to price movements and the evolution of market trends.
