Algorithms

Reactive flows encompass a broad range of physical phenomena, interacting over many different time and space scales. Such flows occur in combustion, chemical lasers, the earth's oceans and atmosphere, and stars and interstellar space. Despite the obvious physical differences in these flows, there is a striking similarity in the forms of their descriptive equations. Thus, the considerations and procedures for constructing numerical models of these systems are also similar, and these similarities can be exploited. Moreover, using the latest technology, what were once difficult and expensive computations can now be done on desktop computers. This book takes account of the explosive growth in computer technology and the greatly increased capacity for solving complex reactive flow problems that have occurred since the first edition of Numerical Simulation of Reactive Flow was published in 1987. It presents algorithms useful for reactive flow simulations, describes trade-offs involved in the

Commerce, Complexity, and Evolution is a significant contribution to the paradigm - straddling economics, finance, marketing, and management - which acknowledges that commercial systems are evolutionary, and must therefore be analysed using evolutionary tools. Evolutionary systems display complicated behaviours which are to a significant degree generated endogenously, rather than being solely the product of exogenous shocks, hence the conjunction of complexity with evolution. This volume considers a wide range of systems, from the entire economy at one extreme to the behaviour of single markets at the other. The papers are united by methodologies which at their core are evolutionary, though the techniques cover a wide range, from philosophical discourse to differential equations, genetic algorithms, multi-agent simulations and cellular automata. Issues considered include the dynamics of debt-deflation, stock management in a complex environment, interactions between consumers and its ef

Written for a broad audience of students in mathematics, computer science, operations research, statistics, and engineering, this textbook presents a short, lively survey of several fascinating non-calculus topics in modern applied mathematics. Coverage includes probability, mathematical finance, graphs, linear programming, statistics, computer science algorithms, and groups. A key feature is the abundance of interesting examples not normally found in standard finite mathematics courses, such as options pricing and arbitrage, tournaments, and counting formulas. The author assumes a level of mathematical sophistication at the beginning calculus level, that is, students should have had at least a course in pre-calculus, and the added sophistication attained from studying calculus would be useful.

This book describes theoretical advances in the study of artificial neural networks. It explores probabilistic models of supervised learning problems, and addresses the key statistical and computational questions. Research on pattern classification with binary-output networks is surveyed, including a discussion of the relevance of the Vapnik–Chervonenkis dimension, and calculating estimates of the dimension for several neural network models. A model of classification by real-output networks is developed, and the usefulness of classification with a 'large margin' is demonstrated. The authors explain the role of scale-sensitive versions of the Vapnik–Chervonenkis dimension in large margin classification, and in real prediction. They also discuss the computational complexity of neural network learning, describing a variety of hardness results, and outlining two efficient constructive learning algorithms. The book is self-contained and is intended to be accessible to researchers and gradua

Reflecting the central place of neurological evaluation and management in the daily practice of emergency medicine, this clinician's reference systematically reviews the main interventions in emergency neurology at all levels of emergency care, from prehospital management through the emergency department, to final disposition of the patient. The book is in seven sections, each integrating neurological concepts with the practical realities and demands of emergency care, and extending from the neurological examination and neurodiagnostic testing through common neurological presentations to specific neurological conditions and recent developments in brain resuscitation. Pediatric neurology and neurological emergencies of pregnancy are fully covered. Generously illustrated with scans and line diagrams, it also features management algorithms for many conditions, and each chapter ends with a list of 'pearls and pitfalls'. It is a comprehensive survey of best practice for emergency physicians

The pi-calculus differs from other models of communicating behaviour mainly in its treatment of mobility. The movement of a piece of data inside a computer program is treated exactly the same as the transfer of a message - or indeed an entire computer program - across the internet. One can also describe networks which reconfigure themselves. The calculus is very simple but powerful; its most prominent ingredient is the notion of a name. Its theory has two important ingredients: the concept of behavioural (or observational) equivalence, and the use of a new theory of types to classify patterns of interactive behaviour. The internet, and its communication protocols, fall within the scope of the theory just as much as computer programs, data structures, algorithms and programming languages. This book is the first textbook on the subject; it has been long-awaited by professionals and will be welcomed by them, and their students.

The pi-calculus differs from other models of communicating behaviour mainly in its treatment of mobility. The movement of a piece of data inside a computer program is treated exactly the same as the transfer of a message - or indeed an entire computer program - across the internet. One can also describe networks which reconfigure themselves. The calculus is very simple but powerful; its most prominent ingredient is the notion of a name. Its theory has two important ingredients: the concept of behavioural (or observational) equivalence, and the use of a new theory of types to classify patterns of interactive behaviour. The internet, and its communication protocols, fall within the scope of the theory just as much as computer programs, data structures, algorithms and programming languages. This book is the first textbook on the subject; it has been long-awaited by professionals and will be welcomed by them, and their students.

Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the subject is presented using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists and engineers interested in applying pseudospectral methods to real problems.

The use of neural networks in signal processing is becoming increasingly widespread, with applications in many areas. Applied Neural Networks for Signal Processing is the first book to provide a comprehensive introduction to this broad field. It begins by covering the basic principles and models of neural networks in signal processing. The authors then discuss a number of powerful algorithms and architectures for a range of important problems, and describe practical implementation procedures. A key feature of the book is that many carefully designed simulation examples are included to help guide the reader in the development of systems for new applications. The book will be an invaluable reference for scientists and engineers working in communications, control or any other field related to signal processing. It can also be used as a textbook for graduate courses in electrical engineering and computer science.

This 1999 book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. Before describing in detail the numerical algorithm, survey chapters are included on the mathematical theory of the Navier-Stokes equations and on the physics of the conventional theory of turbulence. The multilevel methods are applied here to the simulation of homogeneous isotropic turbulent flows as well as turbulent channel flows. The implementation issues are discussed in detail and numerical simulations of the flows cited above are presented and analysed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.

Advances in the field of computer vision are leading to radical changes in the way we interact with computers. At the time of this book's publication in 1998, it would soon be possible to enable a computer linked to a video camera to detect the presence of users, track faces, arms and hands in real time, and analyse expressions and gestures. The implications for interface design are immense and are expected to have major repercussions for all areas where computers are used, from the work place to recreation. This book collects the ideas and algorithms from the world's leading scientists, offering a glimpse of the radical changes that are round the corner and which will change the way we will interact with computers in the near future.

The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read account of the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction. The subject is then developed in a further twelve tutorials, written by leading experts, on the application of Gröbner bases in various fields of mathematics. In the second part are seventeen original research papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.

The most comprehensive overview of signal detection available. This is a thorough, up-to-date introduction to optimizing detection algorithms for implementation on digital computers. It focuses extensively on real-world signal processing applications, including state-of-the-art speech and communications technology as well as traditional sonar/radar systems. Start with a quick review of the fundamental issues associated with mathematical detection, as well as the most important probability density functions and their properties. Next, review Gaussian, Chi-Squared, F, Rayleigh, and Rician PDFs, quadratic forms of Gaussian random variables, asymptotic Gaussian PDFs, and Monte Carlo Performance Evaluations. Three chapters introduce the basics of detection based on simple hypothesis testing, including the Neyman-Pearson Theorem, handling irrelevant data, Bayes Risk, multiple hypothesis testing, and both deterministic and random signals. The author then presents exceptionally detailed covera

Paul Erdös was one of the greatest mathematicians of this century, known the world over for his brilliant ideas and stimulating questions. On the date of his 80th birthday a conference was held in his honour at Trinity College, Cambridge. Many leading combinatorialists attended. Their subsequent contributions are collected here. The areas represented range from set theory and geometry, through graph theory, group theory and combinatorial probability, to randomised algorithms and statistical physics. Erdös himself was able to give a survey of recent progress made on his favourite problems. Consequently this volume, consisting of in-depth studies at the frontier of research, provides a valuable panorama across the breadth of combinatorics as it is today.

Studying the dynamics of a large number of particles interacting through long-range forces, commonly referred to as the 'N-body problem', is a central aspect of many different branches of physics. In recent years, significant advances have been made in the development of fast N-body algorithms to deal efficiently with such complex problems. This book is the first to give a thorough introduction to these so-called 'tree methods', setting out the basic principles and giving many practical examples of their use. No prior specialist knowledge is assumed, and the techniques are illustrated throughout with reference to a broad range of applications. The book will be of great interest to graduate students and researchers working on the modelling of systems in astrophysics, plasma physics, nuclear and particle physics, condensed matter physics and materials science.

This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the first-order and second-order optimality conditions. The book also describes several iterative algorithms such as a penalty-based interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has

Finite fields are algebraic structures in which there is much research interest and they have been shown to have a wide range of applications. These proceedings give a state-of-the-art account of the area of finite fields and their applications in communications (coding theory, cryptology), combinatorics, design theory, quasirandom points, algorithms and their complexity. Typically, theory and application are tightly interwoven in the survey articles and original research papers included here. These also demonstrate inter-connections with other branches of pure mathematics such as number theory, group theory and algebraic geometry. This volume is an invaluable resource for any researcher in finite fields or related areas.

In this volume, which was originally published in 1996, noisy information is studied in the context of computational complexity; in other words the text deals with the computational complexity of mathematical problems for which information is partial, noisy and priced. The author develops a general theory of computational complexity of continuous problems with noisy information and gives a number of applications; deterministic as well as stochastic noise is considered. He presents optimal algorithms, optimal information, and complexity bounds in different settings: worst case, average case, mixed worst-average and average-worst, and asymptotic. The book integrates the work of researchers in such areas as computational complexity, approximation theory and statistics, and includes many fresh results as well. About two hundred exercises are supplied with a view to increasing the reader's understanding of the subject. The text will be of interest to professional computer scientists, statis

This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a 'learning algorithm' of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints. This book will be of value to anyone with an interest in neural networks and cognitive systems.

This book explores the many engineering and architectural aspects of submarine design and how they relate to each other and the operational performance required of the vessel. Concepts of hydrodynamics, structure, powering and dynamics are explained, in addition to architectural considerations which bear on the submarine design process. The interplay between these aspects of design is given particular attention, and a final chapter is devoted to the generation of the concept design for the submarine as a whole. Submarine design makes extensive use of computer aids, and examples of algorithms used in concept design are given. The emphasis in the book is on providing engineering insight as well as an understanding of the intricacies of the submarine design process. It will serve as a text for students and as a reference manual for practising engineers and designers.

This text covers the field of steady-state kinetics from basic principles to the control of the multi-enzyme systems which constitute metabolic pathways. Emphasis is placed on the interpretation of the kinetic behaviour of enzyme-catalyzed reactions in terms of mechanisms. Algorithms are developed which can be implemented in computer programs for the derivation of equations. The treatment of steady-state enzyme kinetics is extended to allosteric enzymes and subunit interactions in polymeric enzymes. Principles are presented which provide for mathematical analysis of the control of multi-enzyme systems. Problems are included at the end of each chapter and their solutions are found at the end of the book. This book will be a useful text for advanced undergraduates and graduate students taking courses in enzyme chemistry and enzyme kinetics.

This text covers the field of steady-state kinetics from basic principles to the control of the multi-enzyme systems which constitute metabolic pathways. Emphasis is placed on the interpretation of the kinetic behaviour of enzyme-catalyzed reactions in terms of mechanisms. Algorithms are developed which can be implemented in computer programs for the derivation of equations. The treatment of steady-state enzyme kinetics is extended to allosteric enzymes and subunit interactions in polymeric enzymes. Principles are presented which provide for mathematical analysis of the control of multi-enzyme systems. Problems are included at the end of each chapter and their solutions are found at the end of the book. This book will be a useful text for advanced undergraduates and graduate students taking courses in enzyme chemistry and enzyme kinetics.

This book describes the structure of simulators suitable for use in the design of digital electronic systems. It includes the compiled code and event driven algorithms for digital electronic system simulators, together with timing verification. Limitations of the structures are also discussed. An introduction to the problems of designing models is included, partly to point to how user models might be constructed for application specific integrated circuits (ASICs) and so on, and partly to expose the limitations of the modelling process. As a guide to the use of simulators the book includes chapters which introduce the subjects of testing and design for testability. A major chapter is devoted to fault simulation. The text has an introduction to hardware accelerators and modellers.

This book describes the structure of simulators suitable for use in the design of digital electronic systems. It includes the compiled code and event driven algorithms for digital electronic system simulators, together with timing verification. Limitations of the structures are also discussed. An introduction to the problems of designing models is included, partly to point to how user models might be constructed for application specific integrated circuits (ASICs) and so on, and partly to expose the limitations of the modelling process. As a guide to the use of simulators the book includes chapters which introduce the subjects of testing and design for testability. A major chapter is devoted to fault simulation. The text has an introduction to hardware accelerators and modellers.

These notes are based on a series of lectures given at the Advanced Research Institute of Discrete Applied Mathematics held at Rutgers University. Their aim is to link together algorithmic problems arising in knot theory, statistical physics and classical combinatorics. Apart from the theory of computational complexity concerned with enumeration problems, introductions are given to several of the topics treated, such as combinatorial knot theory, randomised approximation algorithms, percolation and random cluster models. To researchers in discrete mathematics, computer science and statistical physics, this book will be of great interest, but any non-expert should find it an appealing guide to a very active area of research.

Games Programming has been written for the personal computer owner who is setting out to write fams programs. It charts the territory which lies beyond the simplistic arcade game and which leads to the more intellectually exciting game moderators and learning programs. This is not another book of program listings, nor does it present game algorithms in isolation from the computer methods which make them work. The aim is to equip the reader with an awareness of modern techniques of structured programming, a robust attitude to computer languages, and a source of valuable 'know how'.

By the time students have done some programming in one or two languages and have learnt the common ways of representing information in a computer, they will want to embark upon further study of theoretical or applied topics in computer science. Most will encounter problems that require for their solution one or more of the techniques described in this book: for example problems depending upon the formation and solution of different equations; the task of making lists of possible alternatives and of answering questions about them; or the search for discrete optima. Written by the same authors as the highly successful Information Representation and Manipulation in a Computer, this book describes algorithms of mathematical methods and illustrates their application with examples. The mathematical background needed is elementary algebra and calculus. Numerous exercises are provided, with hints to their solutions.

In 2017, a small crew gathered in a windowless Pentagon room to put AI at the heart of how America makes war. Led by a Marine Corps colonel haunted by the deaths of US troops and prospect of AI-enhanced rivals, the Project Maven team raced to send AI into combat, igniting controversy and forever changing the US military. Summoning the mayhem of a tech startup, the group wrestled Pentagon bureaucrats and each other, enlisted an initially reluctant Silicon Valley, and convinced US forces to deploy little-tested AI systems in hot wars. Maven fielded algorithms to identify targets at speed and scale, developed AI-infused command systems, and learned where AI fails. Today, its lessons are folded into developing autonomous technology set to be on the frontlines of future war. Based on more than 200 interviews with Project Maven insiders and opponents, this captivating narrative explains how AI warfare, once the stuff of apocalyptic science fiction, has become a reality.

“Packed with fascinating facts, of-the-moment observations, and a sparkling voice,Algospeakis a gift to any word nerd. Deftly covering everything from emoji etymologies and trendbait to Taylor Swift fanilects... Adam Aleksic is the wise, yet accessible internet linguistics oracle we need.”—Amanda Montell, author ofThe Age of Magical OverthinkingandCultishFrom “brainrot” memes and incel slang to the trend of adding“-core” to different influencer aesthetics, the internet has ushered in an unprecedented linguistic upheaval. We’re entering an entirely new era of etymology, heralded by the invisible forces driving social media algorithms. Thankfully,Algospeakis here to explain. As a professional linguist, Adam Aleksic understands the gravity of language and the way we use it: he knows the ways it has morphed and changed, how it reflects society, and how, in its everyday usage, we carry centuries of human history on our tongues. As a social media influencer, Aleksic is also intimately famili

是一部探討數位生活影響的實用書籍，由倫敦大學學院Dr Kaitlyn Regehr撰寫。書中以平實的方式說明智慧手機、演算法與人工智慧如何改變我們的思考與生活，同時提供具體方法，幫助讀者更健康地使用科技。內容涵蓋身體意象、廣告、錯假資訊等常見議題，也介紹如何辨識風險、調整使用習慣與照顧心理健康。這本書適合關心孩子與自身網路使用方式的讀者閱讀，是理解現代數位環境與學習自我保護的實用指南。A groundbreaking exploration of how smartphones, algorithms and AI are changing the way we think, act and feel, and a clear, empowering toolkit for living a healthier, happier life online, from leading expert and Associate Professor at University College London, Dr Kaitlyn Regehr.The tools and understanding you need to protect yourself, and your family.Smartphone Nation will transform the way you – and your children – understand your devices and how they affect you. In this practical, agenda-setting book, Dr Kaitlyn Regehr – one of the world’s foremost experts on digital literacy – sets out how you can keep the advantages of the internet whilst identifying often hidden dangers and stepping away when you’re over-reliant.Grassroots movements have done an amazing job of alerting many of us to the d

Longlisted for the 2024 Financial Times Book of the Year. How life and the economy became a black box--a collection of systems no one understands, producing outcomes no one likes. Passengers get bumped from flights. Phone menus disconnect. Automated financial trades produce market collapse. Of all the challenges in modern life, some of the most vexing come from our relationships with automation: a large system does us wrong, and there's nothing we can do about it. The problem, economist Dan Davies shows, is accountability sinks: systems in which decisions are delegated to a complex rule book or set of standard procedures, making it impossible to identify the source of mistakes when they happen. In our increasingly unhuman world--lives dominated by algorithms, artificial intelligence, and large organizations--these accountability sinks produce more than just aggravation. They make life and economy unknowable--a black box for no reason. In The Unaccountability Machine, Davies lays bar

《計算機程序設計藝術》系列被公認為計算機科學領域的傑出之作，深入闡述了程序設計理論，對計算機領域的發展有著極為深遠的影響。本卷為系列的第 2卷，講解了半數值算法，分“隨機數”和“算術”兩章。書中總結了主要算法範例及這些算法的基本理論，廣泛剖析了計算機程序設計與數值分析間的相互聯繫。