Algorithms

Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This u

With a strong emphasis on applications of intelligent control, this extremely accessible book covers the fundamentals, methodologies, architectures and algorithms of automatic control systems. The aut

Provides comprehensive, current coverage of concepts and practical applications in computer graphics. The important algorithms in 2D and 3D graphics are detailed, and there is a thorough presentation

The sign-solvability of a linear system implies that the signs of the entries of the solution are determined solely on the basis of the signs of the coefficients of the system. That it might be worthwhile and possible to investigate such linear systems was recognised by Samuelson in his classic book Foundations of Economic Analysis. Sign-solvability is part of a larger study which seeks to understand the special circumstances under which an algebraic, analytic or geometric property of a matrix can be determined from the combinatorial arrangement of the positive, negative and zero elements of the matrix. The large and diffuse body of literature connected with sign-solvability is presented as a coherent whole for the first time in this book, displaying it as a beautiful interplay between combinatorics and linear algebra. One of the features of this book is that algorithms that are implicit in many of the proofs have been explicitly described and their complexity has been commented on.

Covering deterministic scheduling, stochastic scheduling, and the probabilistic analysis of algorithms, this unusually broad view of the subject brings together tutorials, surveys and articles with or

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.

Provides a solid integration of basic computing concepts with Pascal programming to foster the use of programming as a problem-solving tool. Topics run the gamut from algorithms and artificial intelli

"An invaluable source for both imaging and software engineers, this practical guide thoroughly covers information in real-time systems, imaging, optimization, algorithms and hardware for image process

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.

Experts from the world's major financial institutions contributed to this work and have already used the newest technologies. Gives proven strategies for using neural networks, algorithms, fuzzy logic

Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theore

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of ma

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.

An introduction to the algorithms of computer algebra. These algorithms are discussed from both a theoretical and practical perspective. Those cases where theoretically optimal algorithms are inapprop

Describes 148 algorithms which are useful for serious number-theoretic computations, in particular for computations related to lattices, algebraic number theory, elliptic curves, primality testing and

A unified presentation of parameter estimation for those involved in the design and implementation of statistical signal processing algorithms. Covers important approaches to obtaining an optima

he Fast Fourier Transform family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications

Emphasizes electromagnetic and microwave problems and the fundamental algorithms which can be used as the basis for computer programs that produce useful numerical results. Includes relevant computer

Computing developed as a branch of mathematics, only to drift away from this home as computer science diverged towards more general topics such as the theory of how a computer works. Recently the emphasis has become more mathematical and the new disciplines of software engineering and information technology have emerged. This book is designed to form the basis of a one year course in discrete mathematics for first year computer scientists or software engineers. The material presented covers much of undergraduate algebra with a particular bias towards the computing applications. Topics covered include mathematical logic, set theory, finite and infinite relations and mappings, graphs, graphical algorithms and axiom systems. It concludes with implementations of many of the algorithms in Modula-2 to illustrate how the mathematics may be turned into concrete calculations. Numerous examples and exercises are included with selected solutions to the problems appearing in the appendix. Discrete

This best-selling, original text focuses on image reconstruction, real-time texture mapping, separable algorithms, two-pass transforms, mesh warping, and special effects. The text, containing all orig

The only text available on graph theory at the freshman/sophomore level, it covers properties of graphs, presents numerous algorithms, and describes actual applications to chemistry, genetics, music,

Volume I of a two-volume set, this text for a course in numerical analysis offers a broad overview of computer-oriented numerical algorithms. Topics include solution of a single nonlinear equation wit

Presents algebraic and geometric algorithms to deal with a specific problem, which frequently occurs in model-based robotics systems and is of utmost importance in calibrating the complexity of roboti

Classic description of the internal algorithms and the structures that form the basis of the UNIX operating system and their relationship to programmer interface. The leading selling UNIX internals bo

Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive conve

Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive conve

The British Combinatorial Conference is an established biennial international gathering. This volume contains the invited papers presented, by several distinguished mathematicians, at the 1985 conference. The papers cover a broad range of combinatorial topics, including cryptography, greedy algorithms, graph minors, flows through random networks, (0, 1)-distance problems, irregularities of point distributions and reconstruction of infinite graphs.

This is a textbook on graph theory, especially suitable for computer scientists but also suitable for mathematicians with an interest in computational complexity. Although it introduces most of the classical concepts of pure and applied graph theory (spanning trees, connectivity, genus, colourability, flows in networks, matchings and traversals) and covers many of the major classical theorems, the emphasis is on algorithms and thier complexity: which graph problems have known efficient solutions and which are intractable. For the intractable problems a number of efficient approximation algorithms are included with known performance bounds. Informal use is made of a PASCAL-like programming language to describe the algorithms. A number of exercises and outlines of solutions are included to extend and motivate the material of the text.

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'.

Diophantine equations over number fields have formed one of the most important and fruitful areas of mathematics throughout civilisation. In recent years increasing interest has been aroused in the analogous area of equations over function fields. However, although considerable progress has been made by previous authors, none has attempted the central problem of providing methods for the actual solution of such equations. The latter is the purpose and achievement of this volume: algorithms are provided for the complete resolution of various families of equations, such as those of Thue, hyperelliptic and genus one type. The results are achieved by means of an original fundamental inequality, first announced by the author in 1982. Several specific examples are included as illustrations of the general method and as a testimony to its efficiency. Furthermore, bounds are obtained on the solutions which improve on those obtained previously by other means. Extending the equality to a differen

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.

Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods ? including algorithms a

Conveys both the art and the science of compiler construction and shows best practice algorithms for the problems inside a compiler. This work focuses on the back end of the compiler-reflecting the fo

Data Structures and Algorithm Analysis in Java is an advanced algorithms book that fits between traditional CS2 and Algorithms Analysis courses. In the old ACM Curriculum Guidelines, this course was k

This book introduces the newly developed Extreme Learning Machine (ELM) including its theories and learning algorithms. ELM is a unified framework of broad type of generalized single-hidden layer feed

Linear algebra and the study of matrix algorithms have become fundamental to the development of statistical models. Using a vector-space approach, this book provides an understanding of the major conc

*Provides a systematic summary of ophthalmic disease directed towards diagnosis, interim assessment and ongoing management*Includes checklists for common clinical conditions and algorithms for importa