Dynamics Of Number Systems PDF Download
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| Author | : Petr Kurka |
| Publisher | : Springer |
| Total Pages | : 229 |
| Release | : 2016-06-01 |
| Genre | : Technology & Engineering |
| ISBN | : 3319333674 |
Download Dynamics of Number Systems Book in PDF, ePub and Kindle
This book is a source of valuable and useful information on the topics of dynamics of number systems and scientific computation with arbitrary precision. It is addressed to scholars, scientists and engineers, and graduate students. The treatment is elementary and self-contained with relevance both for theory and applications. The basic prerequisite of the book is linear algebra and matrix calculus.
| Author | : Dzmitry Badziahin |
| Publisher | : Cambridge University Press |
| Total Pages | : 341 |
| Release | : 2016-11-10 |
| Genre | : Mathematics |
| ISBN | : 1107552370 |
Download Dynamics and Analytic Number Theory Book in PDF, ePub and Kindle
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
| Author | : Ghada Alsuhli |
| Publisher | : Springer Nature |
| Total Pages | : 100 |
| Release | : 2023-09-01 |
| Genre | : Technology & Engineering |
| ISBN | : 3031381335 |
Download Number Systems for Deep Neural Network Architectures Book in PDF, ePub and Kindle
This book provides readers a comprehensive introduction to alternative number systems for more efficient representations of Deep Neural Network (DNN) data. Various number systems (conventional/unconventional) exploited for DNNs are discussed, including Floating Point (FP), Fixed Point (FXP), Logarithmic Number System (LNS), Residue Number System (RNS), Block Floating Point Number System (BFP), Dynamic Fixed-Point Number System (DFXP) and Posit Number System (PNS). The authors explore the impact of these number systems on the performance and hardware design of DNNs, highlighting the challenges associated with each number system and various solutions that are proposed for addressing them.
| Author | : Amos R. Omondi |
| Publisher | : Imperial College Press |
| Total Pages | : 311 |
| Release | : 2007 |
| Genre | : Technology & Engineering |
| ISBN | : 1860948677 |
Download Residue Number Systems Book in PDF, ePub and Kindle
Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today. This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided. Sample Chapter(s). Chapter 1: Introduction (301 KB). Contents: Introduction; Mathematical Fundamentals; Forward Conversion; Addition; Multiplication; Comparison, Overflow-Detection, Sign-Determination, Scaling, and Division; Reverse Conversion; Applications. Readership: Graduate students, academics and researchers in computer engineering and electrical & electronic engineering.
| Author | : P.V. Ananda Mohan |
| Publisher | : Birkhäuser |
| Total Pages | : 353 |
| Release | : 2016-10-14 |
| Genre | : Mathematics |
| ISBN | : 3319413856 |
Download Residue Number Systems Book in PDF, ePub and Kindle
This new and expanded monograph improves upon Mohan's earlier book, Residue Number Systems (Springer, 2002) with a state of the art treatment of the subject. Replete with detailed illustrations and helpful examples, this book covers a host of cutting edge topics such as the core function, the quotient function, new Chinese Remainder theorems, and large integer operations. It also features many significant applications to practical communication systems and cryptography such as FIR filters and elliptic curve cryptography. Starting with a comprehensive introduction to the basics and leading up to current research trends that are not yet widely distributed in other publications, this book will be of interest to both researchers and students alike.
| Author | : H. Haken |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 272 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642675921 |
Download Dynamics of Synergetic Systems Book in PDF, ePub and Kindle
This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24. -29 . • 1979. In keeping with our previous meetings. this one was truly interdisciplinary. Synergetic systems are those that can produce macroscopic spatial. temporal or functional structures in a self-organized way. I think that these proceedings draw a rather coherent picture of the present status of Synergetics, emphasizing this time theoretical aspects, although the proceedings contain also important con tributions from the experimental side. Synergetics has ties to many quite different disciplines as is clearly mirrored by the following articles. Out of the many ties I pick here only one example which is alluded to in the title of this book. Indeed, there is an important branch of mathematics called dynamic systems theory for which the problems of Synergetics might become an eldorado. While, undoubtedly, a good deal of dynamic systems had been motivated by mechanics, such as celestial and fluid dynamics, theory Synergetics provides us with a wealth of related problems of quite different fields, e. g. , lasers or chemical reaction processes. In order to become adequately applicable, in quite a number of realistic cases dynamic systems theory must be developed further. This is equally true for a number of other approaches.
| Author | : Charles Little |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 237 |
| Release | : 2003-09-05 |
| Genre | : Mathematics |
| ISBN | : 9813106182 |
Download The Number Systems Of Analysis Book in PDF, ePub and Kindle
Although students of analysis are familiar with real and complex numbers, few treatments of analysis deal with the development of such numbers in any depth. An understanding of number systems at a fundamental level is necessary for a deeper grasp of analysis. Beginning with elementary concepts from logic and set theory, this book develops in turn the natural numbers, the integers and the rational, real and complex numbers. The development is motivated by the need to solve polynomial equations, and the book concludes by proving that such equations have solutions in the complex number system.
| Author | : Yaneer Bar-yam |
| Publisher | : CRC Press |
| Total Pages | : 866 |
| Release | : 2019-03-04 |
| Genre | : Mathematics |
| ISBN | : 0429717598 |
Download Dynamics Of Complex Systems Book in PDF, ePub and Kindle
This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.
| Author | : Vladimir Anashin |
| Publisher | : Walter de Gruyter |
| Total Pages | : 558 |
| Release | : 2009-06-02 |
| Genre | : Mathematics |
| ISBN | : 3110203014 |
Download Applied Algebraic Dynamics Book in PDF, ePub and Kindle
This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.
| Author | : Valérie Berthé |
| Publisher | : Birkhäuser |
| Total Pages | : 591 |
| Release | : 2018-04-09 |
| Genre | : Mathematics |
| ISBN | : 331969152X |
Download Sequences, Groups, and Number Theory Book in PDF, ePub and Kindle
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
