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Dynamics Of Number Systems
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Book Synopsis Dynamics of Number Systems by : Petr Kurka
Download or read book Dynamics of Number Systems written by Petr Kurka and published by Springer. This book was released on 2016-06-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin
Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin and published by Cambridge University Press. This book was released on 2016-11-10 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Book Synopsis Number Systems for Deep Neural Network Architectures by : Ghada Alsuhli
Download or read book Number Systems for Deep Neural Network Architectures written by Ghada Alsuhli and published by Springer Nature. This book was released on 2023-09-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Dynamics: Topology and Numbers by : Pieter Moree
Download or read book Dynamics: Topology and Numbers written by Pieter Moree and published by American Mathematical Soc.. This book was released on 2020-02-12 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.
Book Synopsis Dynamics Of Complex Systems by : Yaneer Bar-yam
Download or read book Dynamics Of Complex Systems written by Yaneer Bar-yam and published by CRC Press. This book was released on 2019-03-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Wildlife and Landscape Ecology by : John A. Bissonette
Download or read book Wildlife and Landscape Ecology written by John A. Bissonette and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the research and management of wildlife has traditionally emphasised studies at smaller scales, it is now acknowledged that larger, landscape-level patterns strongly influence demographic processes in wild animal species. This book is the first to provide the conceptual basis for learning how larger scale patterns and processes can influence the biology and management of wildlife species. It is divided into three sections: Underlying Concepts, Landscape Metrics and Applications and Large Scale Management.
Book Synopsis Residue Number Systems by : P.V. Ananda Mohan
Download or read book Residue Number Systems written by P.V. Ananda Mohan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been continuing interest in the improvement of the speed of Digital Signal processing. The use of Residue Number Systems for the design of DSP systems has been extensively researched in literature. Szabo and Tanaka have popularized this approach through their book published in 1967. Subsequently, Jenkins and Leon have rekindled the interest of researchers in this area in 1978, from which time there have been several efforts to use RNS in practical system implementation. An IEEE Press book has been published in 1986 which was a collection of Papers. It is very interesting to note that in the recent past since 1988, the research activity has received a new thrust with emphasis on VLSI design using non ROM based designs as well as ROM based designs as evidenced by the increased publications in this area. The main advantage in using RNS is that several small word-length Processors are used to perform operations such as addition, multiplication and accumulation, subtraction, thus needing less instruction execution time than that needed in conventional 16 bitl32 bit DSPs. However, the disadvantages of RNS have b. een the difficulty of detection of overflow, sign detection, comparison of two numbers, scaling, and division by arbitrary number, RNS to Binary conversion and Binary to RNS conversion. These operations, unfortunately, are computationally intensive and are time consuming.
Book Synopsis Residue Number Systems by : Amos R. Omondi
Download or read book Residue Number Systems written by Amos R. Omondi and published by World Scientific. This book was released on 2007 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Embedded Systems Design with Special Arithmetic and Number Systems by : Amir Sabbagh Molahosseini
Download or read book Embedded Systems Design with Special Arithmetic and Number Systems written by Amir Sabbagh Molahosseini and published by Springer. This book was released on 2017-03-20 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to alternative approaches to designing efficient embedded systems using unconventional number systems. The authors describe various systems that can be used for designing efficient embedded and application-specific processors, such as Residue Number System, Logarithmic Number System, Redundant Binary Number System Double-Base Number System, Decimal Floating Point Number System and Continuous Valued Number System. Readers will learn the strategies and trade-offs of using unconventional number systems in application-specific processors and be able to apply and design appropriate arithmetic operations from these number systems to boost the performance of digital systems.
Book Synopsis Dynamical Numbers: Interplay between Dynamical Systems and Number Theory by : S. F. Koli︠a︡da
Download or read book Dynamical Numbers: Interplay between Dynamical Systems and Number Theory written by S. F. Koli︠a︡da and published by American Mathematical Soc.. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009. These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
Book Synopsis The Number Systems of Analysis by : C H C Little
Download or read book The Number Systems of Analysis written by C H C Little and published by World Scientific Publishing Company. This book was released on 2003-09-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Dynamics for Classical Systems by : Fabio Bagarello
Download or read book Quantum Dynamics for Classical Systems written by Fabio Bagarello and published by John Wiley & Sons. This book was released on 2012-10-11 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces number operators with a focus on the relationship between quantum mechanics and social science Mathematics is increasingly applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools—the number operator in particular—can be used to create dynamical systems in which the variables are operator-valued functions and whose results explain the presented model. The book presents mathematical results and their applications to concrete systems and discusses the methods used, results obtained, and techniques developed for the proofs of the results. The central ideas of number operators are illuminated while avoiding excessive technicalities that are unnecessary for understanding and learning the various mathematical applications. The presented dynamical systems address a variety of contexts and offer clear analyses and explanations of concluded results. Additional features in Quantum Dynamics for Classical Systems include: Applications across diverse fields including stock markets and population migration as well as a unique quantum perspective on these classes of models Illustrations of the use of creation and annihilation operators for classical problems Examples of the recent increase in research and literature on the many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers while shedding light on new approaches in the field Quantum Dynamics for Classical Systems is an ideal reference for researchers, professionals, and academics in applied mathematics, economics, physics, biology, and sociology. The book is also excellent for courses in dynamical systems, quantum mechanics, and mathematical models.
Book Synopsis Multiple-Base Number System by : Vassil Dimitrov
Download or read book Multiple-Base Number System written by Vassil Dimitrov and published by CRC Press. This book was released on 2017-12-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer arithmetic has become so fundamentally embedded into digital design that many engineers are unaware of the many research advances in the area. As a result, they are losing out on emerging opportunities to optimize its use in targeted applications and technologies. In many cases, easily available standard arithmetic hardware might not necessarily be the most efficient implementation strategy. Multiple-Base Number System: Theory and Applications stands apart from the usual books on computer arithmetic with its concentration on the uses and the mathematical operations associated with the recently introduced multiple-base number system (MBNS). The book identifies and explores several diverse and never-before-considered MBNS applications (and their implementation issues) to enhance computation efficiency, specifically in digital signal processing (DSP) and public key cryptography. Despite the recent development and increasing popularity of MBNS as a specialized tool for high-performance calculations in electronic hardware and other fields, no single text has compiled all the crucial, cutting-edge information engineers need to optimize its use. The authors’ main goal was to disseminate the results of extensive design research—including much of their own—to help the widest possible audience of engineers, computer scientists, and mathematicians. Dedicated to helping readers apply discoveries in advanced integrated circuit technologies, this single reference is packed with a wealth of vital content previously scattered throughout limited-circulation technical and mathematical journals and papers—resources generally accessible only to researchers and designers working in highly specialized fields. Leveling the informational playing field, this resource guides readers through an in-depth analysis of theory, architectural techniques, and the latest research on the subject, subsequently laying the groundwork users require to begin applying MBNS.
Book Synopsis Non-equilibrium Statistical Thermodynamics: Applied To Fluid Dynamics And Laser Physics by : Xavier De Hemptinne
Download or read book Non-equilibrium Statistical Thermodynamics: Applied To Fluid Dynamics And Laser Physics written by Xavier De Hemptinne and published by World Scientific. This book was released on 1992-02-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (Bénard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.
Download or read book Search for a Solution written by and published by . This book was released on 1996 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Managed Annihilation by : Dean Bavington
Download or read book Managed Annihilation written by Dean Bavington and published by UBC Press. This book was released on 2011-01-01 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Newfoundland and Labrador cod fishery was once the most successful commercial fishery in the world. When it collapsed in 1992, many pointed to failures in management, such as uncontrolled harvesting, as likely culprits. Managed Annihilation makes the case that the idea of natural resource management itself was the problem. The collapse occurred when the fisheries were state-managed and still, two decades later, there is no recovery in sight. Although the collapse raised doubts among policy-makers about their ability to understand and control nature, their ultimate goal of control through management has not wavered and has been transferred from wild fish to fishermen and farmed cod.
Book Synopsis The Real Number System by : John M. H. Olmsted
Download or read book The Real Number System written by John M. H. Olmsted and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.
