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Author: Petr Kurka
Publisher: Springer
ISBN: 3319333674
Category : Technology & Engineering
Languages : en
Pages : 229
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Book Description
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: Petr Kurka
Publisher: Springer
ISBN: 3319333674
Category : Technology & Engineering
Languages : en
Pages : 229
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Book Description
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
ISBN: 1107552370
Category : Mathematics
Languages : en
Pages : 341
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Book Description
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Author: Ghada Alsuhli
Publisher: Springer Nature
ISBN: 3031381335
Category : Technology & Engineering
Languages : en
Pages : 100
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Book Description
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
ISBN: 1860948677
Category : Technology & Engineering
Languages : en
Pages : 311
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Book Description
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: Yaneer Bar-yam
Publisher: CRC Press
ISBN: 0429717598
Category : Mathematics
Languages : en
Pages : 866
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Book Description
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: Rush D. Robinett III
Publisher: SIAM
ISBN: 9780898718676
Category : Mathematics
Languages : en
Pages : 278
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Book Description
Based on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The main goal of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess. The goal was partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to variety of practical engineering problems is emphasized.
Author: Claus Führer
Publisher: Springer Science & Business Media
ISBN: 3663098281
Category : Technology & Engineering
Languages : en
Pages : 287
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Book Description
The important interaction between modeling and solution techniques is demonstrated by using a simplified multibody model of a truck thoughout the book to illustrate all key concepts.
Author: P.V. Ananda Mohan
Publisher: Birkhäuser
ISBN: 3319413856
Category : Mathematics
Languages : en
Pages : 353
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Book Description
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: Dipak Kumar Kole
Publisher: Springer Nature
ISBN: 9819726115
Category :
Languages : en
Pages : 728
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Book Description
Author:
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 638
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Book Description
