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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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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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This volume of Lecture Notes in Computer Science contains the revised versions of the papers presented at the 9th International Conference on Implemen- tion and Application of Automata, CIAA 2004. Also included are the extended abstracts of the posters accepted to the conference. The conference was held at Queen's University in Kingston, Ontario, Canada on July 22-24, 2004. As for its predecessors, the theme of CIAA 2004 was the implementation of automata and grammars of all types and their application in other ?elds. The topics of the papers presented at the conference range from applications of automata in natural language and speech processing to protein sequencingandgenecompression,andfromstatecomplexityandnewalgorithms for automata operations to applications of quantum ?nite automata. The25regularpapersand14posterpaperswereselectedfrom62submissions totheconference.EachsubmittedpaperwasevaluatedbyatleastthreeProgram Committee members, with the help of external referees. Based on the referee reports, the paper Substitutions, Trajectories and Noisy Channels by L. Kari, S. Konstantinidis and P. Sos´ ?k was chosen as the winner of the CIAA 2004 Best Paper Award. The award is sponsored by the University of California at Santa Barbara. The authors of the papers presented here come from the following countries and regions: Austria, Canada, Czech Republic, Finland, France, Germany, Hong Kong, Netherlands, Portugal, Russia, Slovakia, South Africa, Spain, UK, and USA.
Mathematical logic --- Complex analysis --- Computer science --- complexe analyse (wiskunde) --- informatica --- wiskunde --- logica
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Evolutionary Multiobjective Optimization is a rare collection of the latest state-of-the-art theoretical research, design challenges and applications in the field of multiobjective optimization paradigms using evolutionary algorithms. It includes two introductory chapters giving all the fundamental definitions, several complex test functions and a practical problem involving the multiobjective optimization of space structures under static and seismic loading conditions used to illustrate the various multiobjective optimization concepts. Important features include: Detailed overview of all the multiobjective optimization paradigms using evolutionary algorithms Excellent coverage of timely, advanced multiobjective optimization topics State-of-the-art theoretical research and application developments Chapters authored by pioneers in the field Academics and industrial scientists as well as engineers engaged in research, development and application of evolutionary algorithm based Multiobjective Optimization will find the comprehensive coverage of this book invaluable.
Complex analysis --- Computer science --- Information systems --- ICT (informatie- en communicatietechnieken) --- cryptologie --- complexe analyse (wiskunde) --- informatiesystemen --- programmatielogica
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Modern cryptology employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research in complexity theory often is motivated by questions and problems arising in cryptology. This book takes account of this trend, and therefore its subject is what may be dubbed "cryptocomplexity,'' some sort of symbiosis of these two areas. This textbook is suitable for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Starting from scratch, it is an accessible introduction to cryptocomplexity and works its way to the frontiers of current research. It provides the necessary mathematical background, has numerous figures, exercises, and examples, and presents some central, up-to-date research topics and challenges. Due to its comprehensive bibliography and subject index, it is also a valuable source for researchers, teachers, and practitioners working in these fields.
Complex analysis --- Computer science --- toegepaste informatica --- DES (data encryption standard) --- cryptologie --- complexe analyse (wiskunde) --- informatica
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Randomness is a powerful phenomenon that can be harnessed to solve various problems in all areas of computer science. Randomized algorithms are often more efficient, simpler and, surprisingly, also more reliable than their deterministic counterparts. Computing tasks exist that require billions of years of computer work when solved using the fastest known deterministic algorithms, but they can be solved using randomized algorithms in a few minutes with negligible error probabilities. Introducing the fascinating world of randomness, this book systematically teaches the main algorithm design paradigms - foiling an adversary, abundance of witnesses, fingerprinting, amplification, and random sampling, etc. - while also providing a deep insight into the nature of success in randomization. Taking sufficient time to present motivations and to develop the reader's intuition, while being rigorous throughout, this text is a very effective and efficient introduction to this exciting field.
Complex analysis --- Discrete mathematics --- Computer science --- discrete wiskunde --- complexe analyse (wiskunde) --- informatica --- algoritmen
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In this volume, the reader will ?rst?nd the invited talks givenatthe conference. Then, in a second part, he/she will ?nd the contributions which were presented attheconferenceafterselection.Inbothcases,papersaregiveninthealphabetic order of the authors. MCU 2004 was the fourth edition of the conference in theoretical computer science,Machines, Computations and Universality,formerly,Machines etcalculs universels. The ?rst and the second editions, MCU 1995 and MCU 1998, were organized by Maurice Margenstern, respectively in Paris and in Metz (France). The third edition, MCU 2001, was the ?rst one to be organized outside France and it was held in Chi¸ sin? au (Moldova). Its co-organizers were Maurice Marg- sternandYuriiRogozhin.TheproceedingsofMCU2001werethe?rstto appear in Lecture Notes in Computer Science, see LNCS 2055. From its very beginning, the MCU conference has been an international s- enti?c event. For the fourth edition, Saint Petersburg was chosen to hold the meeting. The success of the meeting con?rmed that the choice was appropriate. MCU 2004 also aimed at high scienti?c standards. We hope that this v- ume will convince the reader that this tradition of the previous conferences was also upheld by this one. Cellular automata and molecular computing are well represented in this volume. And this is the case for quantum computing, formal languages and the theory of automata too. MCU 2004 also did not fail its tra- tion to provide our community with important results on Turing machines. Also a new feature of the Saint Petersburg edition was the contributions on analog models and the presence of unconventional models.
Mathematical logic --- Complex analysis --- Computer science --- complexe analyse (wiskunde) --- informatica --- programmeren (informatica) --- wiskunde --- logica
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The Fourth International Conference on Unconventional Computation, UC 2005, organized under the auspices of EATCS by the Centre for Discrete Mathematics and Theoretical Computer Science and the Department of C- puter Science and Arti?cial Intelligence of the University of Seville, was held in Seville, October 3-7, 2005. Seville, one of the most beautiful cities in Spain, is at its best in October. An explosion of colour and contrast: ?amenco, bull?ghting, and a lively at- sphere in the streets due to the open and friendly nature of its people. The river Guadalquivir, the Cathedral and the Golden Tower are all places full of magic where the visitor can feel the spirit of a city which is eternally romantic. The series of International Conferences Unconventional Computation (UC),https://www.cs.auckland.ac.nz/CDMTCS/conferences/uc/isdevoted to all aspects of unconventional computation, theory as well as experiments and applications. Typical, but not exclusive, topics are: natural computing including quantum, cellular,molecular, neural and evolutionarycomputing; chaosand - namical systems based computing; and various proposals for computations that 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 and Kobe, Japan in 2002. The titles of the proceedings volumes from past UC Conferences are as follows: 1. C.S. Calude, J. Casti, M.J. Dinneen (eds.). Unconventional Models of C- putation, Springer-Verlag, Singapore, 1998, viii + 426 pp. ISBN: 981-3083- 69-7.
Complex analysis --- Biomathematics. Biometry. Biostatistics --- Computer science --- complexe analyse (wiskunde) --- bio-informatica --- informatica --- biometrie
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Complex analysis --- Applied physical engineering --- Engineering sciences. Technology --- procesautomatisering --- complexe analyse (wiskunde) --- systeemtheorie --- systeembeheer --- regeltechniek
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