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Lecture Notes On General Topology
This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prerequisite for further studying analysis, geometry, manifolds, and certainly, for a career of mathematical research. Researchers may find it helpful especially from the comprehensive indices.General topology resembles a language in modern mathematics. Because of this, the book is with a concentration on basic concepts in general topology, and the presentation is of a brief style, both concise and precise. Though it is hard to determine exactly which concepts therein are basic and which are not, the author makes efforts in the selection according to personal experience on the occurrence frequency of notions in advanced mathematics, and to related books that have received admirable reviews.This book also contains exercises for each chapter with selected solutions. Interrelationships among concepts are taken into account frequently. Twelve particular topological spaces are repeatedly exploited, which serve as examples to learn new concepts based on old ones.
For the People
None
Proceedings of the 2023 2nd International Conference on Public Service, Economic Management and Sustainable Development (PESD 2023)
This is an open access book. 2023 2nd International Conference on Public Service, Economic Management and Sustainable Development (PESD 2023) will be held from Oct. 27 to 29 in Xiamen, China. It dedicates to create a platform for academic communications between specialists and scholars in the fields of Public Service, Economic Management and Sustainable Development. PESD 2023 is the Public Service, Economic Management and Sustainable Development conference aimed at presenting current research being carried out. Economic development provides the basic material basis for public services, and public services create a good social foundation for economic development. At the same time, social and ...
Analysis and Design of Singular Markovian Jump Systems
This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: · study of the stability problem for SMJSs with general transition rate matrices (TRMs); · stabilization for SMJSs by TRM desig...
Exchange Rate Pass-through and Industry Characteristics
Based on 1986-1992 survey data of 22 midstream petrochemical industries in Taiwan, the empirical results of the export price, the markup ratio and the price-cost margin equations in this study show that Taiwan's petrochemical firms absorb only a small portion of a given weighted exchange rate change in their export prices, markup ratios and price-cost margins. It implies that Taiwan's petrochemical firms have a weak pricing-to-market pattern. The empirical results may be explained by the volatility of profitability, high market concentration and small export/domestic production share. However, the impacts of the exchange rate change on the export price, markup ratio and price-cost margin have a tendency to increase during the period of 1987" to 1992. The tendency might be attributed to increasing competition of the petrochemical markets in the world, or Taiwanese firms' gradual realization of the importance of holding their world market shares in response to the exchange rate change
Intelligent Computing for Sustainable Energy and Environment
This book constitutes the refereed proceedings of the Second International Conference on Intelligent Computing for Sustainable Energy and Environment, ICSEE 2012, held in Shanghai, China, in September 2012. The 60 full papers presented were carefully reviewed and selected from numerous submissions and present theories and methodologies as well as the emerging applications of intelligent computing in sustainable energy and environment.
The Discourse on Foxes and Ghosts
The fiction of Xu works across boundaries, fusing Daoist traditions with the pessimism of Western nihilism.
