International Symposium On Interval Mathematics
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Interval Mathematics
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Author :
language : en
Publisher:
Release Date : 1975
Interval Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Interval Mathematics
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Author : Karl Nickel
language : en
Publisher:
Release Date :
Interval Mathematics written by Karl Nickel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Interval Mathematics 1980
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Author : Karl L. E. Nickel
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Interval Mathematics 1980 written by Karl L. E. Nickel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Interval Mathematics 1980 contains the proceedings of an International Symposium on Interval Mathematics held in Germany on May 27-31, 1980. The book introduces the reader to some of the most important work done in the field of interval mathematics and its application to computing. Topics covered range from purely theoretical to computational methods and computer architecture. Comprised of 41 chapters, this book begins with an overview of set functions and their applications, followed by a discussion on global constrained optimization using interval analysis. A model for the propagation of rounding error in floating arithmetic is then presented, and the importance of 3-valued notions for interval mathematics is highlighted. Subsequent chapters focus on the transformation of interval programs into convergent interval programs; specifications for interval programming languages; interval contractions for the solution of integral equations; and mean convergence enclosing of solutions of operator equations with convex and inverse monotonic operators. This monograph will be of value to both students and specialists in the fields of mathematics and computer science.
Interval Mathematics 1985
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Author : Karl Nickel
language : en
Publisher: Lecture Notes in Computer Science
Release Date : 1985
Interval Mathematics 1985 written by Karl Nickel and has been published by Lecture Notes in Computer Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Pascal Xsc
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Author : Rudi Klatte
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Pascal Xsc written by Rudi Klatte 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 Computers categories.
This manual describes a PASCAL extension for scientific computation with the short title PASCAL-XSC (PASCAL eXtension for Scientific Computation). The language is the result of a long term effort of members of the Institute for Applied Mathematics of Karlsruhe University and several associated scientists. PASCAL XSC is intended to make the computer more powerful arithmetically than usual. It makes the computer look like a vector processor to the programmer by providing the vector/matrix operations in a natural form with array data types and the usual operator symbols. Programming of algorithms is thus brought considerably closer to the usual mathematical notation. As an additional feature in PASCAL-XSC, all predefined operators for real and complex numbers and intervals, vectors, matrices, and so on, deliver an answer that differs from the exact result by at most one rounding. Numerical mathematics has devised algorithms that deliver highly accurate and automatically verified results by applying mathematical fixed point theorems. That is, these computations carry their own accuracy control. However, their imple mentation requires arithmetic and programming tools that have not been available previously. The development of PASCAL-XSC has been aimed at providing these tools within the PASCAL setting. Work on the subject began during the 1960's with the development of a general theory of computer arithmetic. At first, new algorithms for the realization of the arithmetic operations had to be developed and implemented.
International Symposium On Interval Mathematics
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Author :
language : de
Publisher:
Release Date : 1975
International Symposium On Interval Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Granular Fuzzy And Soft Computing
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Author : Tsau-Young Lin
language : en
Publisher: Springer Nature
Release Date : 2023-03-29
Granular Fuzzy And Soft Computing written by Tsau-Young Lin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-29 with Mathematics categories.
The first edition of the Encyclopedia of Complexity and Systems Science (ECSS, 2009) presented a comprehensive overview of granular computing (GrC) broadly divided into several categories: Granular computing from rough set theory, Granular Computing in Database Theory, Granular Computing in Social Networks, Granular Computing and Fuzzy Set Theory, Grid/Cloud Computing, as well as general issues in granular computing. In 2011, the formal theory of GrC was established, providing an adequate infrastructure to support revolutionary new approaches to computer/data science, including the challenges presented by so-called big data. For this volume of ECSS, Second Edition, many entries have been updated to capture these new developments, together with new chapters on such topics as data clustering, outliers in data mining, qualitative fuzzy sets, and information flow analysis for security applications. Granulations can be seen as a natural and ancient methodology deeply rooted in the human mind. Many daily "things" are routinely granulated into sub "things": The topography of earth is granulated into hills, plateaus, etc., space and time are granulated into infinitesimal granules, and a circle is granulated into polygons of infinitesimal sides. Such granules led to the invention of calculus, topology and non-standard analysis. Formalization of general granulation was difficult but, as shown in this volume, great progress has been made in combing discrete and continuous mathematics under one roof for a broad range of applications in data science.
Interval Analysis
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Author : Navid Razmjooy
language : en
Publisher: John Wiley & Sons
Release Date : 2023-12-27
Interval Analysis written by Navid Razmjooy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Technology & Engineering categories.
Interval Analysis An innovative and unique application of interval analysis to optimal control problems In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function. You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains: A thorough introduction to common errors and mistakes, generating uncertainties in physical models Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods Complete treatments of existing control methods, including classic, conventional advanced, and robust control. Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.
Interval Mathematics Proceedings Of The International Symposium
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Author : K. Nickel
language : en
Publisher:
Release Date : 1975
Interval Mathematics Proceedings Of The International Symposium written by K. Nickel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Interval Mathematics Proceedings Of The International Symposium
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Author :
language : en
Publisher:
Release Date :
Interval Mathematics Proceedings Of The International Symposium written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.