Design Structure Matrix Methods and Applications

Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods used to find all the solutions to certain diophantine equations, particularly those procedures which have been developed for use on a computer. The study is divided into three parts, the emphasis throughout being on examining approaches with a wide range of applications. The first section considers basic techniques including local methods, sieving, descent arguments and the LLL algorithm. The second section explores problems which can be solved using Baker's theory of linear forms in logarithms. The final section looks at problems associated with curves, mainly focusing on rational and integral points on elliptic curves. Each chapter concludes with a useful set of exercises. A detailed bibliography is included. This book will appeal to graduate students and research workers, with a basic knowledge of number theory, who are interested in solving diop

In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its relevance in several important respects. Many branches of classical analysing have their origins in the rigourous discussion of problems in applies mathematics and theoretical physics, and the classical treatment of the theory of partial differential equations still provides the best method of treating many physical problems. A knowledge of the classical theory is essential for pure mathematics who intend to undertake research in this field, whatever approach they ultimately adopt. The numerical analyst needs a knowledge of classical theory in order to decide whether a problem has a uni

This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.

Alicyclic chemistry is a fundamentally important area of chemistry. It exemplifies the concepts of bonded and non-bonded interactions of atoms, and the ideas of molecular strain and their impact on the stability and reactivity of a range of molecular types. This book aims to present the experimental basis for these concepts. A survey of alicyclic chemistry must, however, also discuss the more important groups of natural products based on alicyclic structure and methods for their synthesis. In this second edition, first published in 1983, the coverage was extended to include examples of terpenes, sterols, prostaglandins and macrocycles. A discussion of spiro-compounds was also added. The book will be of use to advanced undergraduate and postgraduate students of organic chemistry and their teachers.

A playful, kid-friendly introduction to game development using Scratch, a visual programming language for making interactive games and animations. Author is a well-known professional game designer.Make Your Own Scratch Games! shows you how to make interactive games using Scratch, a beginner-friendly tool for making and sharing animated games online. Readers use Scratch's block-based programming language to design games from scratch using author's games as examples. Anthropy walks readers through game development process from start to finish, covering everything from mapping out a game's structure, creating animations, and debugging the end product. Readers will understand what makes designing video games challenging and fun, and feel ready to bring their own game ideas to life.

No one can dispute the impact Grady Booch's writings have had on object-oriented technology. The Best of Booch contains articles on various object-oriented topics published since Grady Booch's book Object Oriented Modeling and Design with Applications, second edition. Designed for software professionals who are concerned about the success of their object-oriented projects, this volume covers all aspects of the Booch method and how a complete method must address a model's notation and semantics as well as a process for creating that model. Many of the articles have been updated to reflect the current thinking in the Unified Modeling Language (UML).

Lexical semantics has become a major research area within computational linguistics, drawing from psycholinguistics, knowledge representation, computer algorithms and architecture. Research programmes whose goal is the definition of large lexicons are asking what the appropriate representation structure is for different facets of lexical information. Among these facets, semantic information is probably the most complex and the least explored. Computational Lexical Semantics is one of the first volumes to provide models for the creation of various kinds of computerized lexicons for the automatic treatment of natural language, with applications to machine translation, automatic indexing, and database front-ends, knowledge extraction, among other things. It focuses on semantic issues, as seen by linguists, psychologists and computer scientists. Besides describing academic research, it also covers ongoing industrial projects.

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

As more advanced materials find their way into daily life, a better understanding of degradation processes is required, allowing us to more accurately predict their lifetime and further increase their performance, reliability. While degradation processes are initiated at molecular (subnanometer) scale, the nanostructure and nanoconfinement of materials alter the degradation processes occurring in materials at micron or larger scales, and eventually trigger new degradation routes. This book studies the effect of nanometer-scale structure and confinement on degradation processes and analyzes the experimental and theoretical approaches used to estimate the lifetime of nanostructured and nanoconfined materials in various environments. Various topics are addressed - from electronic, optical, structural, and magnetic nanomaterials to space, chemical, biological and medical applications. There is also an emphasis on the time dependence associated with artificial treatments involving electrica

For courses in Multivariate Statistics, Marketing Research, Intermediate Business Statistics, Statistics in Education, and graduate-level courses in Experimental Design and Statistics. Appropriate for experimental scientists in a variety of disciplines, this market-leading text offers a readable introduction to the statistical analysis of multivariate observations. Its primary goal is to impart the knowledge necessary to make proper interpretations and select appropriate techniques for analyzing multivariate data. Ideal for a junior/senior or graduate level course that explores the statistical methods for describing and analyzing multivariate data, the text assumes two or more statistics courses as a prerequisite.

This 1999 book studies the implications of macroeconomic complementarities for aggregate behavior. The presentation is intended to introduce PhD students into this sub-field of macroeconomics and to serve as a reference for more advanced scholars. The initial sections of the book cover the basic framework of complementarities and provide a discussion of the experimental evidence on the outcome of coordination games. The subsequent sections of the book investigate applications of these ideas for macroeconomics. The topics Professor Cooper explores include: economies with production complementarities, search models, imperfectly competitive product markets, models of timing and delay and the role of government in resolving and creating coordination problems. The presentation goes into detail on a few models and uses them as a structure to integrate related literature. The discussion brings together theory and quantitative analysis.

This 1999 book studies the implications of macroeconomic complementarities for aggregate behavior. The presentation is intended to introduce PhD students into this sub-field of macroeconomics and to serve as a reference for more advanced scholars. The initial sections of the book cover the basic framework of complementarities and provide a discussion of the experimental evidence on the outcome of coordination games. The subsequent sections of the book investigate applications of these ideas for macroeconomics. The topics Professor Cooper explores include: economies with production complementarities, search models, imperfectly competitive product markets, models of timing and delay and the role of government in resolving and creating coordination problems. The presentation goes into detail on a few models and uses them as a structure to integrate related literature. The discussion brings together theory and quantitative analysis.

The extent to which language is inseparable from thought has long been a major subject of debate across linguistics, psychology, philosophy and other disciplines. In this study, Wallace Chafe presents a thought-based theory of language that goes beyond traditional views that semantics, syntax, and sounds are sufficient to account for language design. Language begins with thoughts in the mind of a speaker and ends by affecting thoughts in the mind of a listener. This obvious observation is seldom incorporated in descriptions of language design for two major reasons. First, the role of thought is usually usurped by semantics. But semantic structures are imposed on thought by languages and differ from one language to another. Second, thought does not lend itself to familiar methods of linguistic analysis. Chafe suggests ways of describing thoughts, traces the path languages follow from thoughts to sounds, and explores ways in which thoughts are oriented in time, memory, imagination, reali

The extent to which language is inseparable from thought has long been a major subject of debate across linguistics, psychology, philosophy and other disciplines. In this study, Wallace Chafe presents a thought-based theory of language that goes beyond traditional views that semantics, syntax, and sounds are sufficient to account for language design. Language begins with thoughts in the mind of a speaker and ends by affecting thoughts in the mind of a listener. This obvious observation is seldom incorporated in descriptions of language design for two major reasons. First, the role of thought is usually usurped by semantics. But semantic structures are imposed on thought by languages and differ from one language to another. Second, thought does not lend itself to familiar methods of linguistic analysis. Chafe suggests ways of describing thoughts, traces the path languages follow from thoughts to sounds, and explores ways in which thoughts are oriented in time, memory, imagination, reali

Based on the ideas of Russian psychologists Lev Vygotsky and Alexander Luria, this book explores methods of preventing or overcoming learning disabilities. Tatiana V. Akhutina and Natalia M. Pylaeva build on Vygotsky and Luria's sociocultural theory and their principle of a systemic structure and dynamic organization of higher mental functions. They focus on the interactive scaffolding of the weak components of the child's functional systems, the transition from joint child-adult co-actions, and the emotional involvement of the child. The authors discuss effective ways to remediate issues with attention, executive functions (working memory and cognitive control) and spatial and visual-verbal functions. Overcoming Learning Disabilities translates complex problems into easily understandable concepts useful to school psychologists, special and general education teachers, and parents of children with learning disabilities.

Based on the ideas of Russian psychologists Lev Vygotsky and Alexander Luria, this book explores methods of preventing or overcoming learning disabilities. Tatiana V. Akhutina and Natalia M. Pylaeva build on Vygotsky and Luria's sociocultural theory and their principle of a systemic structure and dynamic organization of higher mental functions. They focus on the interactive scaffolding of the weak components of the child's functional systems, the transition from joint child-adult co-actions, and the emotional involvement of the child. The authors discuss effective ways to remediate issues with attention, executive functions (working memory and cognitive control) and spatial and visual-verbal functions. Overcoming Learning Disabilities translates complex problems into easily understandable concepts useful to school psychologists, special and general education teachers, and parents of children with learning disabilities.

Navigating Global Business integrates and synthesizes all available country cluster studies into a nested meta-structure accompanied by eco-cultural correlates that distinguish amongst clusters. The broad range of analyses will appeal to researchers and practitioners, seasoned multi-firm executives, those in small firms seeking internationalization, and anyone intrigued by the greater question of human diversity. The book covers key work-related cultural dimensions for much of the world, and includes examples of applications in most business areas. Also exhibited are the correlates of culture, some of which, such as language and religion, speak to the origin of cultural variations in addition to illustrating key variants of the global terrain. Finally, the authors examine how patterns might have changed over time, providing a rigorous and realistic assessment of the fruits of globalization.

Navigating Global Business integrates and synthesizes all available country cluster studies into a nested meta-structure accompanied by eco-cultural correlates that distinguish amongst clusters. The broad range of analyses will appeal to researchers and practitioners, seasoned multi-firm executives, those in small firms seeking internationalization, and anyone intrigued by the greater question of human diversity. The book covers key work-related cultural dimensions for much of the world, and includes examples of applications in most business areas. Also exhibited are the correlates of culture, some of which, such as language and religion, speak to the origin of cultural variations in addition to illustrating key variants of the global terrain. Finally, the authors examine how patterns might have changed over time, providing a rigorous and realistic assessment of the fruits of globalization.

Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas of physics and mathematics. They have been intensely studied in the past; in particular, the solution of a number of conjectures of Kaplansky from the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the topics covered are results toward the classification of finite-dimensional Hopf algebras (semisimple and non-semisimple), as well as what is known about the extension theory of Hopf algebras. Some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to work in quantum groups. The book also explores the connections and applications of Hopf algebras to other fields.

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas of physics and mathematics. They have been intensely studied in the past; in particular, the solution of a number of conjectures of Kaplansky from the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the topics covered are results toward the classification of finite-dimensional Hopf algebras (semisimple and non-semisimple), as well as what is known about the extension theory of Hopf algebras. Some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to work in quantum groups. The book also explores the connections and applications of Hopf algebras to other fields.

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

This book is an introduction to polymers and focuses on the synthesis, structure and properties of the individual molecules that constitute polymeric materials. It approaches polymeric materials from a molecular basis on the belief that there is a common core of knowledge and principles concerning polymer molecules that can be set out in an introductory work. Subjects treated include an introductory overview of synthesis, an introduction of the concept and definition of molecular weight and its distribution, experimental methods for measuring molecular weight, a more detailed view of polymerization including kinetics and mechanism, and the three-dimensional architecture of polymers as determined by conformation and stereochemistry. The statistical description of the conformational disorder of the molecules is covered and then built upon in treating rubber elasticity and polymer solutions.

This book is an introduction to polymers and focuses on the synthesis, structure and properties of the individual molecules that constitute polymeric materials. It approaches polymeric materials from a molecular basis on the belief that there is a common core of knowledge and principles concerning polymer molecules that can be set out in an introductory work. Subjects treated include an introductory overview of synthesis, an introduction of the concept and definition of molecular weight and its distribution, experimental methods for measuring molecular weight, a more detailed view of polymerization including kinetics and mechanism, and the three-dimensional architecture of polymers as determined by conformation and stereochemistry. The statistical description of the conformational disorder of the molecules is covered and then built upon in treating rubber elasticity and polymer solutions.

From bestselling author Kelly Corrigan and her daughter debut author Claire Corrigan Lichty comes a new picture book about a determined young inventor! Marianne's days are filled with schedules, structure, and soccer. There's just one problem: Marianne is a maker. She needs every minute of her weekends to scheme and dream, draw and design, to build and rebuild! This is the story of how a creator with a crackerjack imagination finds a not-so-great way to skip practice and create her masterpiece. But will her dad understand? Told in delightful rhyme that bounces across George Sweetland's gorgeous collage-style illustrations (chock full of hidden gems, ) Marianne the Maker is sure to kindle the creative spark that lives inside all of us.

The first English translation of Li Bozhong's pioneering study An Early Modern Economy in China uses sophisticated analysis to reconstruct the GDP of the Yangzi Delta. In this innovative economic history, Li provides a basis for understanding the Delta's economy, an area of unprecedented growth in modern times. Using quantitative research Li carefully reconstructs the economies of the region, combining three methods for estimating GDP: output, income, and expenditure. The result reveals the structure and level of income and production in this highly commercialized and urbanized part of China, establishing a benchmark for future reconstructions of regional economies through GDP. This is a landmark text in the field of economic history which has had a great impact on understanding Chinese economic history in global perspective.

The aim of this book is to demonstrate both the difficulties and the opportunities which the accumulation of statistical information in economically advanced countries offers for studying nineteenth-century society in depth. The chief emphasis is upon quantitative methods of analysis. The main focus of the attention is the census – what information was required on census night; how the information was collected; how accurately and completely population characteristics were recorded, the problems which arise in attempting to use either the published census volumes or the enumerators' books; and the techniques which have proved useful in analysis. Related topics covered include the study of family structure, the use of information about occupation, the measurement of migration, criminal statistics, educational provision and sampling in historical research.

This Companion, first published in 2000, provides a comprehensive view of Beethoven and his work. The first part of the book presents the composer as a private individual, as a professional, and at the work-place, discussing biographical problems, Beethoven's professional activities when not composing and his methods as a composer. In the heart of the book, individual chapters are devoted to all the major genres cultivated by Beethoven and to the elements of style and structure that cross all genres. The book concludes by looking at the ways that Beethoven and his music have been interpreted by performers, writers on music, and in the arts, literature, and philosophy. The essays in this volume, written by leading Beethoven specialists, maintain traditional emphases in Beethoven studies while incorporating other developments in musicology and theory.

This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.

Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series. There is a strong emphasis on qualitative understanding (such as curve sketching) and practical methods of solution. The latter take due account of the impact of computers on the subject. The principles of mathematical expression are illustrated by copious examples taken from a wide range of topics in physics and chemistry. Each of the short chapters concludes with a summary and a large number of problems.

This book provides an understanding of memory development through an examination of the scientific contributions of eminent developmental scientist Peter A. Ornstein. His fifty-year career not only coincided with but also contributed to a period of extraordinary progress in the understanding of children's memory. The volume describes this historical context, constructs a theoretical structure for understanding memory development, and emphasizes research applications for educational and forensic practice. Organized around Ornstein's four influential research programs in children's memory strategies, children's event memory, family socialization of memory, and classroom socialization of memory, the chapters examine contemporary directions in each area, with commentaries addressing each program provided by internationally renowned developmental psychologists. The book presents a comprehensive overview of memory development for psychologists and educators at all levels of training and prac

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.

When this book was first published in 1984, the technique of remote sounding was growing rapidly in importance as a means for studying the structure, climate and weather of the atmospheres of the Earth and planets. Measurements from Earth satellites and interplanetary spacecraft proved particularly useful because they allowed good coverage of atmospheric systems in space and time, often with high resolution. This book describes how measurements can be made of the properties of the Earth and planets using this method. It includes descriptions of the scientific principles, technical implementation, mathematical methods for analysing the measurements, a history of measurements that have been made and discussions of the phenomena that have been discovered and studied using remote sounding. The technique is important for meteorology, climatology and an understanding of humankind's impact on the Earth's atmosphere.

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking

Network thinking and network analysis are rapidly expanding features of ecological research. Network analysis of ecological systems include representations and modelling of the interactions in an ecosystem, in which species or factors are joined by pairwise connections. This book provides an overview of ecological network analysis including generating processes, the relationship between structure and dynamic function, and statistics and models for these networks. Starting with a general introduction to the composition of networks and their characteristics, it includes details on such topics as measures of network complexity, applications of spectral graph theory, how best to include indirect species interactions, and multilayer, multiplex and multilevel networks. Graduate students and researchers who want to develop and understand ecological networks in their research will find this volume inspiring and helpful. Detailed guidance to those already working in network ecology but looking

The science of complex biological networks is transforming research in areas ranging from evolutionary biology to medicine. This is the first book on the subject, providing a comprehensive introduction to complex network science and its biological applications. With contributions from key leaders in both network theory and modern cell biology, this book discusses the network science that is increasingly foundational for systems biology and the quantitative understanding of living systems. It surveys studies in the quantitative structure and dynamics of genetic regulatory networks, molecular networks underlying cellular metabolism, and other fundamental biological processes. The book balances empirical studies and theory to give a unified overview of this interdisciplinary science. It is a key introductory text for graduate students and researchers in physics, biology and biochemistry, and presents ideas and techniques from fields outside the reader's own area of specialization.