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This book provides algorithms and ideas for computationalists. Subjects treated include low-level algorithms, bit wizardry, combinatorial generation, fast transforms like the Fourier transform, and fast arithmetic for both real numbers and finite fields. Various optimization techniques are described and the actual performance of many given implementations is examined. The focus is on material that does not usually appear in textbooks on algorithms. The implementations are done in C++ and the GP language, written for POSIX-compliant platforms such as the Linux and BSD operating systems.

Complex analysis --- complexe analyse (wiskunde)

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Title: New Software Engineering Paradigm Based on Complexity Science: An Introduction to NSE Author: Jay Xiong Software has become the driving force for the development of all kinds of businesses, engineering, sciences and the global economy. But software itself is not well engineered, resulting in a total economic cost that is disturbingly high. Jay Xiong, a leading entrepreneur in the field of software engineering, realized many of the problems in software engineering stem from an incorrect paradigm. Software is a nonlinear complex system, but the existing software engineering paradigm is based on linear thinking, reductionism, and a superposition principle that the whole of a system is the sum of its parts. Xiong believes that the solution to software problems lies with complexity science, which is the science of studying complex systems with many interactive components. In New Software Engineering Paradigm Based on Complexity Science: An Introduction to NSE, Xiong details how complexity science can be a powerful means to solve all critical issues existing in today's software engineering through a two-step process. Step one discusses shifting the engineering paradigm to one based on nonlinear process and complexity science. For that, he posits the Nonlinear Software Engineering (NSE) paradigm. And step two applies complexity science to efficiently handle the problems of an individual complex system. This text introduces many new concepts, ideas, algorithms, models, methods, techniques and tools. It is aimed at anyone who has any relation to computer science and software engineering. The tools NSE_CLICK- an automatic acceptance testing platform for outsourcing (or internally developed) C/C++ products, and NSE_CLICK_J - an automatic acceptance testing platform for outsourcing (or internally developed) Java products  are particularly designed for non-technical readers to view/review how the acceptance testing of a software product developed with NSE can be performed automatically, and how the product  developed with NSE is truly maintainable at the customer site.

Complex analysis --- Computer science --- complexe analyse (wiskunde) --- informatica

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New discoveries about algorithms are leading scientists beyond the Church-Turing Thesis, which governs the "algorithmic universe" and asserts the conventionality of recursive algorithms. A new paradigm for computation, the super-recursive algorithm, offers promising prospects for algorithms of much greater computing power and efficiency. Super-Recursive Algorithms provides an accessible, focused examination of the theory of super-recursive algorithms and its ramifications for the computer industry, networks, artificial intelligence, embedded systems, and the Internet. The book demonstrates how these algorithms are more appropriate as mathematical models for modern computers, and how these algorithms present a better framework for computing methods in such areas as numerical analysis, array searching, and controlling and monitoring systems. In addition, a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole, is developed. Problems of efficiency, software development, parallel and distributed processing, pervasive and emerging computation, computer architecture, machine learning, brain modeling, knowledge discovery, and intelligent systems are addressed. Topics and Features: * Encompasses and systematizes all main classes of super-recursive algorithms and the theory behind them * Describes the strengthening link between the theory of super-recursive algorithms and actual algorithms close to practical realization * Examines the theory's basis as a foundation for advancements in computing, information science, and related technologies * Encompasses and systematizes all main types of mathematical models of algorithms * Highlights how super-recursive algorithms pave the way for more advanced design, utilization, and maintenance of computers * Examines and restructures the existing variety of mathematical models of complexity of algorithms and computation, introducing new models * Possesses a comprehensive bibliography and index This clear exposition, motivated by numerous examples and illustrations, serves to develop a new paradigm for complex, high-performance computing based on both partial recursive functions and more inclusive recursive algorithms. Researchers and advanced students interested in theory of computation and algorithms will find the book an essential resource for an important new class of algorithms.

Complex analysis --- Computer science --- toegepaste informatica --- complexe analyse (wiskunde)

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The presence of uncertainty in a system description has always been a critical issue in control. Moving on from earlier stochastic and robust control paradigms, the main objective of this book is to introduce the reader to the fundamentals of probabilistic methods in the analysis and design of uncertain systems. Using so-called "randomized algorithms", this emerging area of research guarantees a reduction in the computational complexity of classical robust control algorithms and in the conservativeness of methods like H-infinity control. Features: ¢ self-contained treatment explaining randomized algorithms from their genesis in the principles of probability theory to their use for robust analysis and controller synthesis; ¢ comprehensive treatment of sample generation, including consideration of the difficulties involved in obtaining independent and identically distributed samples; ¢ applications of randomized algorithms in congestion control of high-speed communications networks and the stability of quantized sampled-data systems. Randomized Algorithms for Analysis and Control of Uncertain Systems will be of certain interest to control theorists concerned with robust and optimal control techniques and to all control engineers dealing with system uncertainties. The present book is a very timely contribution to the literature. I have no hesitation in asserting that it will remain a widely cited reference work for many years. M. Vidyasagar

Complex analysis --- Applied physical engineering --- Engineering sciences. Technology --- procesautomatisering --- complexe analyse (wiskunde) --- systeemtheorie --- systeembeheer --- regeltechniek

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The 5th International Conference on Unconventional Computation, UC 2006, organized under the auspices of the EATCS by the Centre for Discrete Mat- maticsandTheoreticalComputerScienceoftheUniversityofAuckland,andthe Department of Computer Science of the University of York, was held in York, UK, September 4-8, 2006. York combines evidence of a history going back to Roman times with a bustlingmoderncitycenter.TheMinster,builtonthefoundationsoftheRoman cityandan earlierNormancathedral,isamongthe?nest Gothic cathedrals,and dominatesthecity.Romans,Vikings,andmorerecenthistoryarecommemorated in a number of top-class museums, as well as being apparent in the architecture of the city. TheseriesofInternationalConferencesonUnconventionalComputation(UC), https://www.cs.auckland.ac.nz/CDMTCS/conferences/uc/,is devoted to all aspects of unconventional computation, theory as well as experiments and applications. Typical, but not exclusive, topics are: natural computing incl- ing quantum, cellular, molecular, neural and evolutionarycomputing; chaos and dynamicalsystems-basedcomputing;andvariousproposalsforcomputationsthat go beyond the Turing model. The ?rst venue of the Unconventional Computation Conference (formerly called Unconventional Models of Computation) was Auckland, New Zealand in 1998; subsequent sites of the conference were Brussels, Belgium in 2000, Kobe, Japan in 2002, and Seville, Spain in 2005. The titles of volumes of the past UC conferences are the following: 1. C.S. Calude, J. Casti, M.J. Dinneen (eds.). Unconventional Models of C- putation, Springer, Singapore, 1998, viii + 426 pp. ISBN: 981-3083-69-7. 2. I. Antoniou, C.S. Calude, M.J. Dinneen (eds.). Unconventional Models of Computation, UMC'2K, Springer, London, December 2000, xi + 301 pp. ISBN 1-85233-417-0.

Complex analysis --- Biomathematics. Biometry. Biostatistics --- Computer science --- complexe analyse (wiskunde) --- bio-informatica --- informatica --- biometrie