Mathematics of Discrete Structures for Computer Science

Contributors from the computer and entertainment industries describe the design and implementation of computer-based entertainment applications. Topics include the infrastructure required for new appl

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

An understanding of Hedgehog structures is an essential component in any chessplayer's knowledge. These structures arise when the black c-pawn is exchanged early on for the white d-pawn (as in the Sic

BANG! What is G-force? What is a sonic boom? Find out more about the science of fast cars and high speed.High Speed, a Level 4 Reader, is A2 in the CEFR framework and supports YLE Flyers exams. The longer text is made up of sentences with up to three clauses, more complex past and future tense structures, modal verbs and a wider variety of conjunctions.

The book presents some key mathematical tools for the performance analysis of communication networks and computer systems.Communication networks and computer systems have become extremely complex. The

This book is a step by step guide on what type of stakes are needed and how to set them for a construction project. Items included are Slope Stakes, Ditches, Minor Structures, Major Structures, Water,

This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review

This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics,

This celebrated book has been prepared with readers' needs in mind, remaining a systematic treatment of the subject whilst retaining its vitality. The second volume follows on from the first, concentrating on stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes. Much effort has gone into making these subjects as accessible as possible by providing many concrete examples that illustrate techniques of calculation, and by treating all topics from the ground up, starting from simple cases. Many of the examples and proofs are new; some important calculational techniques appeared for the first time in this book. Together with its companion volume, this book helps equip graduate students for research into a subject of great intrinsic interest and wide application in physics, biology, engineering, finance and computer science.

Fortran is one of the oldest high-level languages and remains the premier language for writing code for science and engineering applications. This book is for anyone who uses Fortran, from the novice learner to the advanced expert. It describes best practices for programmers, scientists, engineers, computer scientists and researchers who want to apply good style and incorporate rigorous usage in their own Fortran code or to establish guidelines for a team project. The presentation concentrates primarily on the characteristics of Fortran 2003, while also describing methods in Fortran 90/95 and valuable new features in Fortran 2008. The authors draw on more than a half century of experience writing production Fortran code to present clear succinct guidelines on formatting, naming, documenting, programming and packaging conventions and various programming paradigms such as parallel processing (including OpenMP, MPI and coarrays), OOP, generic programming and C language interoperability.

Fortran is one of the oldest high-level languages and remains the premier language for writing code for science and engineering applications. This book is for anyone who uses Fortran, from the novice learner to the advanced expert. It describes best practices for programmers, scientists, engineers, computer scientists and researchers who want to apply good style and incorporate rigorous usage in their own Fortran code or to establish guidelines for a team project. The presentation concentrates primarily on the characteristics of Fortran 2003, while also describing methods in Fortran 90/95 and valuable new features in Fortran 2008. The authors draw on more than a half century of experience writing production Fortran code to present clear succinct guidelines on formatting, naming, documenting, programming and packaging conventions and various programming paradigms such as parallel processing (including OpenMP, MPI and coarrays), OOP, generic programming and C language interoperability.

Computer simulation-based education and training is a multi-billion dollar industry. With the increased complexity of organizational decision making, projected demand for computer simulation-based dec

Develop and manage chemical information systems This text provides a comprehensive overview of analyzing chemical problems using computer-aided methods for both newcomers and advanced computer scient

Designing the User Interface: Strategies for Effective Human-Computer Interaction provides a comprehensive introduction to the dynamic field of human-computer interaction (HCI). An expanded author tea

Point-to-point vs hub-and-spoke. Questions of network design are real and involve many billions of dollars. Yet little is known about optimising design - nearly all work concerns optimising flow assuming a given design. This foundational book tackles optimisation of network structure itself, deriving comprehensible and realistic design principles. With fixed material cost rates, a natural class of models implies the optimality of direct source-destination connections, but considerations of variable load and environmental intrusion then enforce trunking in the optimal design, producing an arterial or hierarchical net. Its determination requires a continuum formulation, which can however be simplified once a discrete structure begins to emerge. Connections are made with the masterly work of Bendsøe and Sigmund on optimal mechanical structures and also with neural, processing and communication networks, including those of the Internet and the World Wide Web. Technical appendices are provi

Point-to-point vs hub-and-spoke. Questions of network design are real and involve many billions of dollars. Yet little is known about optimising design - nearly all work concerns optimising flow assuming a given design. This foundational book tackles optimisation of network structure itself, deriving comprehensible and realistic design principles. With fixed material cost rates, a natural class of models implies the optimality of direct source-destination connections, but considerations of variable load and environmental intrusion then enforce trunking in the optimal design, producing an arterial or hierarchical net. Its determination requires a continuum formulation, which can however be simplified once a discrete structure begins to emerge. Connections are made with the masterly work of Bendsøe and Sigmund on optimal mechanical structures and also with neural, processing and communication networks, including those of the Internet and the World Wide Web. Technical appendices are provi

In this age of information overload, people use a variety of strategies to make choices about what to buy, how to spend their leisure time, and even whom to date. Recommender systems automate some of these strategies with the goal of providing affordable, personal, and high-quality recommendations. This book offers an overview of approaches to developing state-of-the-art recommender systems. The authors present current algorithmic approaches for generating personalized buying proposals, such as collaborative and content-based filtering, as well as more interactive and knowledge-based approaches. They also discuss how to measure the effectiveness of recommender systems and illustrate the methods with practical case studies. The final chapters cover emerging topics such as recommender systems in the social web and consumer buying behavior theory. Suitable for computer science researchers and students interested in getting an overview of the field, this book will also be useful for profes

This book is an up-to-date introduction to the quantum theory of measurement, a fast developing field of intense current interest to scientists and engineers for its potential high technology applications. It is also a subject of importance to students for its central role in the foundations of quantum mechanics. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrödinger, Heisenberg, von Neumann and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurement is now central to many ultra-high technology developments, such as squeezed light, single atom traps, and searches for gravitational radiation. It is also considered to have great promise for computer science and engineering, particularly for its applications in information processing and transfer. The book contains a pedagogical introduction to the relevant theory written at a level accessible to those with on

This book is an up-to-date introduction to the quantum theory of measurement, a fast developing field of intense current interest to scientists and engineers for its potential high technology applications. It is also a subject of importance to students for its central role in the foundations of quantum mechanics. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrödinger, Heisenberg, von Neumann and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurement is now central to many ultra-high technology developments, such as squeezed light, single atom traps, and searches for gravitational radiation. It is also considered to have great promise for computer science and engineering, particularly for its applications in information processing and transfer. The book contains a pedagogical introduction to the relevant theory written at a level accessible to those with on

First published in 1991, this thesis concentrates upon the design of three-dimensional, rather than the traditional two-dimensional, circuits. The theory behind such circuits is presented in detail, together with experimental results. Winner of the Distinguished Dissertation in Computer Science award, this work will prove invaluable to both designers and hardware engineers involved in the development of practical three-dimensional integrated circuits.

First published in 1991, this thesis concentrates upon the design of three-dimensional, rather than the traditional two-dimensional, circuits. The theory behind such circuits is presented in detail, together with experimental results. Winner of the Distinguished Dissertation in Computer Science award, this work will prove invaluable to both designers and hardware engineers involved in the development of practical three-dimensional integrated circuits.

Perspectives on Patentable Subject Matter brings together leading scholars to offer diverse perspectives on the question of which types of subject matter are even eligible for patent protection, setting aside the widely known requirement that a claimed invention avoid the prior art and be adequately disclosed. Some leading commentators and policy-making bodies and individuals envision patentable subject matter to include anything under the sun made by humans, others envision a range of restrictions for particular fields of endeavor, from business methods and computer software to matters involving life, such as DNA and methods for screening or treating disease. Employing approaches that are both theoretically rigorous and grounded in the real world, this book is well suited for practicing lawyers, managers, lawmakers and analysts, as well as academics researching or teaching in law schools, business schools, public policy schools, and in economics and political science departments.

Perspectives on Patentable Subject Matter brings together leading scholars to offer diverse perspectives on the question of which types of subject matter are even eligible for patent protection, setting aside the widely known requirement that a claimed invention avoid the prior art and be adequately disclosed. Some leading commentators and policy-making bodies and individuals envision patentable subject matter to include anything under the sun made by humans, others envision a range of restrictions for particular fields of endeavor, from business methods and computer software to matters involving life, such as DNA and methods for screening or treating disease. Employing approaches that are both theoretically rigorous and grounded in the real world, this book is well suited for practicing lawyers, managers, lawmakers and analysts, as well as academics researching or teaching in law schools, business schools, public policy schools, and in economics and political science departments.

This textbook, for second- or third-year students of computer science, presents insights, notations, and analogies to help them describe and think about algorithms like an expert, without grinding through lots of formal proof. Solutions to many problems are provided to let students check their progress, while class-tested PowerPoint slides are on the web for anyone running the course. By looking at both the big picture and easy step-by-step methods for developing algorithms, the author guides students around the common pitfalls. He stresses paradigms such as loop invariants and recursion to unify a huge range of algorithms into a few meta-algorithms. The book fosters a deeper understanding of how and why each algorithm works. These insights are presented in a careful and clear way, helping students to think abstractly and preparing them for creating their own innovative ways to solve problems.

*From the series of SLA Information Book Award shortlisted, How to Walk on the Moon*Strap in for a thrilling journey through the exciting world of MATHEMATICS! This fast-paced, fun-filled book seamlessly blends COMIC BOOK ACTION with mind-bending MATH FACTS.Embark on a quest with Professor Katzenstein, the world's most intrepid, all-action mathematician, as he unravels the secrets of numbers, patterns, and equations in this vibrant, full-color book. The Prof has a passion for discovery and loves all things strange, unexpected, and surprising - so this exploration of mathematics will be anything but ordinary!• Do you know why your body is like a donut?• Have you ever wondered how many times you can fold a piece of paper?• Have you uncovered the secret mathematics of a sunflower?Get to the bottom of these big ideas and more in this laugh-out-loud series that's a cross between Dog Man and Euclid.This infectiously enthusiastic celebration of mathematics is ideal for inspiring young minds a

I Use Math uses a lively first-person narrative to describe the use of mathematics in everyday situations. Correlated to first grade mathematics standards, each book contains a simple math problem for

I Use Math uses a lively first-person narrative to describe the use of mathematics in everyday situations. Correlated to first grade mathematics standards, each book contains a simple math problem for

The Red Rockets' Glare is the first academic study on the birth of the Soviet space program and one of the first social histories of Soviet science. Based on many years of archival research, the book situates the birth of cosmic enthusiasm within the social and cultural upheavals of Russian and Soviet history. Asif A. Siddiqi frames the origins of Sputnik by bridging imagination with engineering - seeing them not as dialectic, discrete, and sequential but as mutable, intertwined, and concurrent. Imagination and engineering not only fed each other but were also co-produced by key actors who maintained a delicate line between secret work on rockets (which interested the military) and public prognostications on the cosmos (which captivated the populace). Sputnik, he argues, was the outcome of both large-scale state imperatives to harness science and technology and populist phenomena that frequently owed little to the whims and needs of the state apparatus.

The Red Rockets' Glare is the first academic study on the birth of the Soviet space program and one of the first social histories of Soviet science. Based on many years of archival research, the book situates the birth of cosmic enthusiasm within the social and cultural upheavals of Russian and Soviet history. Asif A. Siddiqi frames the origins of Sputnik by bridging imagination with engineering - seeing them not as dialectic, discrete, and sequential but as mutable, intertwined, and concurrent. Imagination and engineering not only fed each other but were also co-produced by key actors who maintained a delicate line between secret work on rockets (which interested the military) and public prognostications on the cosmos (which captivated the populace). Sputnik, he argues, was the outcome of both large-scale state imperatives to harness science and technology and populist phenomena that frequently owed little to the whims and needs of the state apparatus.

Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

How do people organize their body movement and talk when they interact with one another in the material world? How do they coordinate linguistic structures with bodily resources (such as gaze and gesture) to bring about coherent and intelligible courses of action? How are physical settings, artifacts, technologies and non-linguistic sign-systems implicated in social interaction and shared cognition? This volume brings together advanced work by leading international scholars who share video-based research methods that integrate semiotic, linguistic, sociological, anthropological and cognitive science perspectives with detailed, microanalytic observations. Collectively they provide a coherent framework for analyzing the production of meaning and the organization of social interaction in the complex and heterogeneous settings that are characteristic of modern life. Embodied Interaction is indispensable for anyone interested in the study of language and social interaction. This volume will

How do people organize their body movement and talk when they interact with one another in the material world? How do they coordinate linguistic structures with bodily resources (such as gaze and gesture) to bring about coherent and intelligible courses of action? How are physical settings, artifacts, technologies and non-linguistic sign-systems implicated in social interaction and shared cognition? This volume brings together advanced work by leading international scholars who share video-based research methods that integrate semiotic, linguistic, sociological, anthropological and cognitive science perspectives with detailed, microanalytic observations. Collectively they provide a coherent framework for analyzing the production of meaning and the organization of social interaction in the complex and heterogeneous settings that are characteristic of modern life. Embodied Interaction is indispensable for anyone interested in the study of language and social interaction. This volume will

The primary object of this manual is to build an understanding of the principles of computer operations and the use of computers in the laboratory. While the development of applications for computers has been rapid since their introduction, the principles of computer operation and their use in sensing and control have remained stable. Those are the primary subjects of this book, throughout which a gradual understanding of what goes on inside a computer is developed. The laboratory provides a vital experience in linking theory with physical reality, and all of the computer work is done in the context of doing experiments. The IBM-PC design is used as the basis for the book. The internal design of this machine is slightly more complicated than earlier personal computers, but it is still simple enough to be quickly learned. The computer can be directly controlled by proper programming, and offers considerably more power than earlier designs. The IBM design also has expansion slots which m

This collection of essays is on the relation between probabilities, especially conditional probabilities, and conditionals. It provides negative results which sharply limit the ways conditionals can be related to conditional probabilities. There are also positive ideas and results which will open up areas of research. The collection is intended to honour Ernest W. Adams, whose seminal work is largely responsible for creating this area of inquiry. As well as describing, evaluating, and applying Adams's work the contributions extend his ideas in directions he may or may not have anticipated, but that he certainly inspired. In addition to a wide range of philosophers of science, the volume should interest computer scientists and linguists.

This collection of essays is on the relation between probabilities, especially conditional probabilities, and conditionals. It provides negative results which sharply limit the ways conditionals can be related to conditional probabilities. There are also positive ideas and results which will open up areas of research. The collection is intended to honour Ernest W. Adams, whose seminal work is largely responsible for creating this area of inquiry. As well as describing, evaluating, and applying Adams's work the contributions extend his ideas in directions he may or may not have anticipated, but that he certainly inspired. In addition to a wide range of philosophers of science, the volume should interest computer scientists and linguists.

A systematic program design method can help developers ensure the correctness and performance of programs while minimizing the development cost. This book describes a method that starts with a clear specification of a computation and derives an efficient implementation by step-wise program analysis and transformations. The method applies to problems specified in imperative, database, functional, logic and object-oriented programming languages with different data, control and module abstractions. Designed for courses or self-study, this book includes numerous exercises and examples that require minimal computer science background, making it accessible to novices. Experienced practitioners and researchers will appreciate the detailed examples in a wide range of application areas including hardware design, image processing, access control, query optimization and program analysis. The last section of the book points out directions for future studies.

A systematic program design method can help developers ensure the correctness and performance of programs while minimizing the development cost. This book describes a method that starts with a clear specification of a computation and derives an efficient implementation by step-wise program analysis and transformations. The method applies to problems specified in imperative, database, functional, logic and object-oriented programming languages with different data, control and module abstractions. Designed for courses or self-study, this book includes numerous exercises and examples that require minimal computer science background, making it accessible to novices. Experienced practitioners and researchers will appreciate the detailed examples in a wide range of application areas including hardware design, image processing, access control, query optimization and program analysis. The last section of the book points out directions for future studies.

This authoritative guide is the first to provide a complete system design perspective based on existing international standards and state-of-the-art networking and infrastructure technologies, from theoretical analyses to practical design considerations. The four most critical components involved in a multimedia networking system - data compression, quality of service (QoS), communication protocols, and effective digital rights management - are intensively addressed. Many real-world commercial systems and prototypes are also introduced, as are software samples and integration examples, allowing readers to understand practical tradeoffs in the design of multimedia architectures, and get hands-on experience learning the methodologies and procedures. Balancing just the right amount of theory with practical design and integration knowledge, this book is ideal for graduate students and researchers in electrical engineering and computer science, and also for practitioners in the communicatio