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Author: Badri Dvalishvili
Publisher: Elsevier
ISBN: 0080459463
Category : Mathematics
Languages : en
Pages : 430
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Book Description
This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices"* The first introduction to the theory of bitopological spaces and its applications.
Author: Badri Dvalishvili
Publisher: Elsevier
ISBN: 0080459463
Category : Mathematics
Languages : en
Pages : 430
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Book Description
This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices"* The first introduction to the theory of bitopological spaces and its applications.
Author: Josef Bigun
Publisher: Springer
ISBN: 354045103X
Category : Computers
Languages : en
Pages : 1196
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Book Description
This book constitutes the refeered proceedings of the 13th Scandinavian Conference on Image Analysis, SCIA 2003, held in Halmstad, Sweden in June/July 2003. The 148 revised full papers presented together with 6 invited contributions were carefully reviewed and selected for presentation. The papers are organized in topical sections on feature extraction, depth and surface, shape analysis, coding and representation, motion analysis, medical image processing, color analysis, texture analysis, indexing and categorization, and segmentation and spatial grouping.
Author: Sheng Gong
Publisher: World Scientific Publishing Company
ISBN: 9813222638
Category : Mathematics
Languages : en
Pages : 691
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Book Description
Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.
Author: Gennady I. Arkhipov
Publisher: Walter de Gruyter
ISBN: 3110197987
Category : Mathematics
Languages : en
Pages : 565
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Book Description
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ́s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
Author: Florentin Smarandache (editor)
Publisher: Infinite Study
ISBN: 1599734982
Category : Neutrosophic logic
Languages : en
Pages : 426
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Book Description
Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. 30 papers by 39 authors and coauthors.
Author: Karl-Hermann Neeb
Publisher: Walter de Gruyter
ISBN: 3110808145
Category : Mathematics
Languages : en
Pages : 804
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Book Description
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author: S. Broumi, M. Talea, A. Bakali, F. Smarandache, A. Salama, H. E. Khalid, A. K. Essa, M. Ali, A. Elhassouny
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 114
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Book Description
The following papers have been published: Interval Valued Neutrosophic Graphs; Neutrosophic Crisp Probability Theory & Decision Making Process; On Strong Interval Valued Neutrosophic Graphs; The Concept of Neutrosophic Less than or Equal: A New Insight in Unconstrained Geometric Programming; Multi-Criteria Decision Making Method for n-wise Criteria Comparisons and Inconsistent Problems.
Author:
Publisher:
ISBN:
Category : Yorkshire (England)
Languages : en
Pages : 614
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Book Description
A review of history, antiquities and topography in the county.
Author: Jie Wu
Publisher: CRC Press
ISBN: 1135484422
Category : Technology & Engineering
Languages : en
Pages : 893
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Book Description
The availability of cheaper, faster, and more reliable electronic components has stimulated important advances in computing and communication technologies. Theoretical and algorithmic approaches that address key issues in sensor networks, ad hoc wireless networks, and peer-to-peer networks play a central role in the development of emerging network paradigms. Filling the need for a comprehensive reference on recent developments, Handbook on Theoretical and Algorithmic Aspects of Sensor, Ad Hoc Wireless, and Peer-to-Peer Networks explores two questions: What are the central technical issues in these SAP networks? What are the possible solutions/tools available to address these issues? The editor brings together information from different research disciplines to initiate a comprehensive technical discussion on theoretical and algorithmic approaches to three related fields: sensor networks, ad hoc wireless networks, and peer-to-peer networks. With chapters written by authorities from Motorola, Bell Lab, and Honeywell, the book examines the theoretical and algorithmic aspects of recent developments and highlights future research challenges. The book's coverage includes theoretical and algorithmic methods and tools such as optimization, computational geometry, graph theory, and combinatorics. Although many books have emerged recently in this area, none of them address all three fields in terms of common issues.
Author: Aspen Publishers Editorial Staff
Publisher: Wolters Kluwer
ISBN: 0735568898
Category : Law
Languages : en
Pages : 1836
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Book Description
The Almanac of the Federal Judiciary has built its considerable reputation by providing balanced, responsible judicial profiles of every federal judge and all the key bankruptcy judges and magistrate judges -- profiles that include reliable inside information based on interviews with lawyers who have argued cases before the federal judiciary. Containing valuable, hard-to-find material on every federal trial judge and appellate judge in the nation, this unique resource includes: Each judge's academic and professional background, experience on the bench, noteworthy rulings, and media coverage Candid, revealing commentary by lawyers, based on first-hand experiences before their local federal judges Helpful tips for your litigating team in shaping case strategy Important insights into each judge's style, demeanor, knowledge, and management of courtroom proceedings And continuing in-depth research, with semiannual updates. The Almanac of the Federal Judiciary is divided into two volumes: Volume 1: District Magistrates and Bankruptcy Judges Volume 2: Circuit Judges
