Interval Mathematics Proceedings Of The International Symposium

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Interval Mathematics 1980

Author : Karl L. E. Nickel
Publisher : Elsevier
ISBN 13 : 1483273849
Total Pages : 571 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Interval Mathematics 1980 by : Karl L. E. Nickel

Download or read book Interval Mathematics 1980 written by Karl L. E. Nickel and published by Elsevier. This book was released on 2014-05-10 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012)

Author : Subrata Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 8132207572
Total Pages : 1322 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) by : Subrata Chakraborty

Download or read book Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) written by Subrata Chakraborty and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 1322 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) is organized by Bengal Engineering and Science University, India during the first week of January 2012 at Kolkata. The primary aim of ISEUSAM 2012 is to provide a platform to facilitate the discussion for a better understanding and management of uncertainty and risk, encompassing various aspects of safety and reliability of engineering systems. The conference received an overwhelming response from national as well as international scholars, experts and delegates from different parts of the world. Papers received from authors of several countries including Australia, Canada, China, Germany, Italy, UAE, UK and USA, besides India. More than two hundred authors have shown their interest in the symposium. The Proceedings presents ninety two high quality papers which address issues of uncertainty encompassing various fields of engineering, i.e. uncertainty analysis and modelling, structural reliability, geotechnical engineering, vibration control, earthquake engineering, environmental engineering, stochastic dynamics, transportation system, system identification and damage assessment, and infrastructure engineering.

Geometric Computations with Interval and New Robust Methods

Author : H Ratschek
Publisher : Horwood Publishing
ISBN 13 : 9781898563976
Total Pages : 342 pages
Book Rating : 4.5/5 (639 download)

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Book Synopsis Geometric Computations with Interval and New Robust Methods by : H Ratschek

Download or read book Geometric Computations with Interval and New Robust Methods written by H Ratschek and published by Horwood Publishing. This book was released on 2003-12-15 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate and postgraduate text will familiarise readers with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations plus the means for alleviating the effects of the errors. It also considers computations on geometric point-sets, which are neither robust nor reliable in processing with standard methods. The authors provide two effective tools for obtaining correct results: (a) interval arithmetic, and (b) ESSA the new powerful algorithm which improves many geometric computations and makes them rounding error free. Familiarises the reader with interval arithmetic and related tools to gain reliable and validated results and logically correct decisions for a variety of geometric computations Provides two effective methods for obtaining correct results in interval arithmetic and ESSA

Interval Mathematics 1985

Author : Karl Nickel
Publisher : Springer
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Interval Mathematics 1985 by : Karl Nickel

Download or read book Interval Mathematics 1985 written by Karl Nickel and published by Springer. This book was released on 1986 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Granular, Fuzzy, and Soft Computing

Author : Tsau-Young Lin
Publisher : Springer Nature
ISBN 13 : 1071626280
Total Pages : 936 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Granular, Fuzzy, and Soft Computing by : Tsau-Young Lin

Download or read book Granular, Fuzzy, and Soft Computing written by Tsau-Young Lin and published by Springer Nature. This book was released on 2023-03-29 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Arithmetic and Validity

Author : Ulrich Kulisch
Publisher : Walter de Gruyter
ISBN 13 : 3110301792
Total Pages : 456 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Computer Arithmetic and Validity by : Ulrich Kulisch

Download or read book Computer Arithmetic and Validity written by Ulrich Kulisch and published by Walter de Gruyter. This book was released on 2013-04-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.

新收洋書総合目錄

Author :
Publisher :
ISBN 13 :
Total Pages : 1404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 新收洋書総合目錄 by :

Download or read book 新收洋書総合目錄 written by and published by . This book was released on 1976 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Computation in Music

Author : Mariana Montiel
Publisher : Springer
ISBN 13 : 3030213927
Total Pages : 403 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematics and Computation in Music by : Mariana Montiel

Download or read book Mathematics and Computation in Music written by Mariana Montiel and published by Springer. This book was released on 2019-06-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

PASCAL-XSC

Author : Rudi Klatte
Publisher : Springer Science & Business Media
ISBN 13 : 3642772773
Total Pages : 348 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis PASCAL-XSC by : Rudi Klatte

Download or read book PASCAL-XSC written by Rudi Klatte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Interval Analysis

Author : Navid Razmjooy
Publisher : John Wiley & Sons
ISBN 13 : 1394190972
Total Pages : 212 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Interval Analysis by : Navid Razmjooy

Download or read book Interval Analysis written by Navid Razmjooy and published by John Wiley & Sons. This book was released on 2024-01-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scientific Computing, Computer Arithmetic, and Validated Numerics

Author : Marco Nehmeier
Publisher : Springer
ISBN 13 : 3319317695
Total Pages : 291 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Scientific Computing, Computer Arithmetic, and Validated Numerics by : Marco Nehmeier

Download or read book Scientific Computing, Computer Arithmetic, and Validated Numerics written by Marco Nehmeier and published by Springer. This book was released on 2016-04-08 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post proceedings of the 16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014. The 22 full papers presented were carefully reviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools.

Proceedings of International Conference on Systems Science and Engineering (ICSSE '88) : 25-28 July 1988, Beijing, China

Author : Weimin Cheng
Publisher : Pergamon
ISBN 13 :
Total Pages : 952 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings of International Conference on Systems Science and Engineering (ICSSE '88) : 25-28 July 1988, Beijing, China by : Weimin Cheng

Download or read book Proceedings of International Conference on Systems Science and Engineering (ICSSE '88) : 25-28 July 1988, Beijing, China written by Weimin Cheng and published by Pergamon. This book was released on 1989 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some 170 papers of the July 1988 meeting survey advances in the main areas of systems science and engineering. Areas covered include: theoretical and methodical developments; applications to population, telecommunication, transportation, and water resource systems; optimization, multicriteria decision making, game theory, decision analysis, management information, and decision support systems. Printed in China on acidic paper directly from authors' typescripts (many of which strain legibility). Four papers are printed after the author index while not appearing in the table of contents. Sloppy production for a $200 book. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR

Continuous Lattices and Their Applications

Author : Rudolf E. Hoffmann
Publisher : CRC Press
ISBN 13 : 1000111083
Total Pages : 392 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Continuous Lattices and Their Applications by : Rudolf E. Hoffmann

Download or read book Continuous Lattices and Their Applications written by Rudolf E. Hoffmann and published by CRC Press. This book was released on 2020-12-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.

Statistics of Quality

Author : Subir Ghosh
Publisher : CRC Press
ISBN 13 : 1000105385
Total Pages : 456 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Statistics of Quality by : Subir Ghosh

Download or read book Statistics of Quality written by Subir Ghosh and published by CRC Press. This book was released on 2020-09-03 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the role of statistics in improving the quality of collecting and analyzing information for a wide variety of applications. The book examines the function of statisticians in quality improvement. It discusses statistical process control, quality statistical tables, and quality and warranty; quality standards in medicine and public health; Taguchi robust designs and survival models; and more.

Uncertain Multi-Criteria Optimization Problems

Author : Dragan Pamucar
Publisher : MDPI
ISBN 13 : 3036515747
Total Pages : 86 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Uncertain Multi-Criteria Optimization Problems by : Dragan Pamucar

Download or read book Uncertain Multi-Criteria Optimization Problems written by Dragan Pamucar and published by MDPI. This book was released on 2021-09-09 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems.

Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference

Author : Arun Kumar Sinha
Publisher : World Scientific
ISBN 13 : 9814704849
Total Pages : 675 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference by : Arun Kumar Sinha

Download or read book Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference written by Arun Kumar Sinha and published by World Scientific. This book was released on 2016-06-09 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents the scientific achievements, significant discoveries and pioneering contributions of various academicians, industrialist and research scholars. The book is an essential source of reference and provides a comprehensive overview of the author's work in the field of mathematics, statistics and computer science.

Variable-Structure Approaches

Author : Andreas Rauh
Publisher : Springer
ISBN 13 : 3319315390
Total Pages : 363 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Variable-Structure Approaches by : Andreas Rauh

Download or read book Variable-Structure Approaches written by Andreas Rauh and published by Springer. This book was released on 2016-05-17 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book aims at presenting current research activities in the field of robust variable-structure systems. The scope equally comprises highlighting novel methodological aspects as well as presenting the use of variable-structure techniques in industrial applications including their efficient implementation on hardware for real-time control. The target audience primarily comprises research experts in the field of control theory and nonlinear dynamics but the book may also be beneficial for graduate students.