Ausgehend von den Verfahren, die zu den hochgenauen Pi-Berechnungen eingesetzt werden, stellen die Autoren das mathematische, programmtechnische sowie historische Umfeld der Zahl Pi ausführlich dar.;So werden sow...
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ISBN:
(数字)9783662127117
Ausgehend von den Verfahren, die zu den hochgenauen Pi-Berechnungen eingesetzt werden, stellen die Autoren das mathematische, programmtechnische sowie historische Umfeld der Zahl Pi ausführlich dar.;So werden sowohl Themen wie die modernen arithmetischen Hochleistungsalgorithmen wie FFT-Multiplikation und superlinear konvergente Iterationen von Gauß, Brent, Salamin und Borwein als auch der Algorithmus "digitextract", der Tröpfelalgorithmus und die Formeln von Ramanujan behandelt.;Der Leser findet einerseits historisch Interessantes wie die Wiederentdeckung der AGM-Formeln im Gauß-Nachlaß, andererseits aber auch Skurriles und Anregendes wie die Untersuchungen zur Normalität von Pi.;Die CD-ROM umfaßt unter anderem die in C++ ausgeführte Langzahlarithmetik "hfloat" und viele weitere Programme zu Algorithmen für die Pi-Berechnung, die jeweils im Sourcecode beigefügt sind.
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differen...
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ISBN:
(数字)9783642238994
ISBN:
(纸本)9783642238987
This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research.
This book constitutes the refereed proceedings of the 7th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2019, held in Nara, Japan, in March 2019.;The 37 revised ful...
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ISBN:
(数字)9783030148157
ISBN:
(纸本)9783030148140
This book constitutes the refereed proceedings of the 7th International Symposium on Integrated Uncertainty in Knowledge Modelling and Decision Making, IUKM 2019, held in Nara, Japan, in March 2019.;The 37 revised full papers presented were carefully reviewed and selected from 93 submissions. The papers deal with all aspects of uncertainty modelling and management and are organized in topical sections on uncertainty management and decision support; econometrics; machine learning; machine learning applications; and statistical methods.
This book discusses recent advances and research in applied mathematics, statistics and their applications in computing. It features papers presented at the fourth conference in the series organized at the Indian Inst...
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ISBN:
(数字)9789811320958
ISBN:
(纸本)9789811320941;9789811347313
This book discusses recent advances and research in applied mathematics, statistics and their applications in computing. It features papers presented at the fourth conference in the series organized at the Indian Institute of Technology (Banaras Hindu University), Varanasi, India, on 9 – 11 January 2018 on areas of current interest, including operations research, soft computing, applied mathematical modelling, cryptology, and security analysis. The conference has emerged as a powerful forum, bringing together leading academic scientists, experts from industry, and researchers and offering a venue to discuss, interact and collaborate to stimulate the advancement of mathematics and its applications in computerscience.;The education of future consumers, users, producers, developers and researchers of mathematics and its applications is an important challenge in modern society, and as such, mathematics and its application in computerscience are of vital significance to all spectrums of the community, as well as to mathematicians and computing professionals across different educational levels and disciplines. With contributions by leading international experts, this book motivates and creates interest among young researchers.
Recent rapid developments in computing power, such as parallel processing and neural networks, have stimulated new trends in control. However a discrepancy exists between available computing power and exploitable algo...
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ISBN:
(数字)9781461529682
ISBN:
(纸本)9780306445903;9781461362913
Recent rapid developments in computing power, such as parallel processing and neural networks, have stimulated new trends in control. However a discrepancy exists between available computing power and exploitable algorithms obtained classically from control theory. The aim of this book is to address the discrepancy from both the com putational power and control theory viewpoints. Areas such as identification, adaptive control, signal processing and neural networks therefore hold a prominent position in the text presented. The form of the book is such that it should be useful for readers at various levels, particularly those at the research and/or application stage. The book has resulted from the IFAC Workshop on the Mutual Impact of Computing Power and Control Theory, which was held at the Institute of Information Theory and Automation (UTIA), Prague, in September 1992. Organisation of the event was provided jointly by the Department of Adaptive Systems, UTIA, Prague and the School of Engineering and Information sciences, University of Reading, UK. Selected papers from the Workshop have been chosen to give a good balance across the field, whilst at the same time highlighting important areas for future research. In this way the book represents edited Proceedings from the Workshop. One point, quickly apparent, is the international nature of the presentations themselves, which provide not only a technical appraisal of the field but also inject cultural aspects which are vitally important on the path ahead.
This book constitutes the refereed proceedings of the 18th International Conference on Information Security, ISC 2015, held in Trondheim, Norway, in September 2015. The 30 revised full papers presented were carefully ...
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ISBN:
(数字)9783319233185
ISBN:
(纸本)9783319233178
This book constitutes the refereed proceedings of the 18th International Conference on Information Security, ISC 2015, held in Trondheim, Norway, in September 2015. The 30 revised full papers presented were carefully reviewed and selected from 103 submissions. The papers cover a wide range of topics in the area of cryptography and cryptanalysis and are organized in the following topical sections: signatures; system and software security; block ciphers; protocols; network and cloud security; encryption and fundamentals; PUFs and implementation security; and key generation, biometrics and image security.
Game enthusiasts, hobbyists, and anyone else who is interested in the implementation of interactive games but needs basic mathematical background or could just use a refresher with modern examples.
ISBN:
(数字)9781484298855
ISBN:
(纸本)9781484298848
Game enthusiasts, hobbyists, and anyone else who is interested in the implementation of interactive games but needs basic mathematical background or could just use a refresher with modern examples.
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