Design Structure Matrix Methods and Applications

The Internet and World Wide Web have revolutionized access to information. Users now store information across multiple platforms from personal computers to smartphones and websites. As a consequence, data management concepts, methods and techniques are increasingly focused on distribution concerns. Now that information largely resides in the network, so do the tools that process this information. This book explains the foundations of XML with a focus on data distribution. It covers the many facets of distributed data management on the Web, such as description logics, that are already emerging in today's data integration applications and herald tomorrow's semantic Web. It also introduces the machinery used to manipulate the unprecedented amount of data collected on the Web. Several 'Putting into Practice' chapters describe detailed practical applications of the technologies and techniques. The book will serve as an introduction to the new, global, information systems for Web professiona

Physical Analysis for Tribology presents a unified approach to the study of wear in mechanical systems. Written by a leading expert who has studied and taught the subject both in Britain and the USA, this book will be valuable to researchers and students with a wide range of experience in tribology. The book concentrates on the methods of physical analysis and the applications of these techniques. This is then illustrated by a discussion of specific tribosystems. The early chapters provide an introduction to physical analysis that is thorough and rigorous. This prepares the reader with all the knowledge necessary to understand the subsequent discussion of applications. Although the description of systems is not exhaustive, the treatment and the theory are universal and will therefore be relevant to individual case studies. The book will appeal to tribologists from a wide variety of disciplines and will be of interest to researchers in physics, chemistry, metallurgy and mechanical engin

Physical Analysis for Tribology presents a unified approach to the study of wear in mechanical systems. Written by a leading expert who has studied and taught the subject both in Britain and the USA, this book will be valuable to researchers and students with a wide range of experience in tribology. The book concentrates on the methods of physical analysis and the applications of these techniques. This is then illustrated by a discussion of specific tribosystems. The early chapters provide an introduction to physical analysis that is thorough and rigorous. This prepares the reader with all the knowledge necessary to understand the subsequent discussion of applications. Although the description of systems is not exhaustive, the treatment and the theory are universal and will therefore be relevant to individual case studies. The book will appeal to tribologists from a wide variety of disciplines and will be of interest to researchers in physics, chemistry, metallurgy and mechanical engin

A key aspect of robotics today is estimating the state, such as position and orientation, of a robot as it moves through the world. Most robots and autonomous vehicles depend on noisy data from sensors such as cameras or laser rangefinders to navigate in a three-dimensional world. This book presents common sensor models and practical advice on how to carry out state estimation for rotations and other state variables. It covers both classical state estimation methods such as the Kalman filter, as well as important modern topics such as batch estimation, the Bayes filter, sigmapoint and particle filters, robust estimation for outlier rejection, and continuous-time trajectory estimation and its connection to Gaussian-process regression. The methods are demonstrated in the context of important applications such as point-cloud alignment, pose-graph relaxation, bundle adjustment, and simultaneous localization and mapping. Students and practitioners of robotics alike will find this a valuable

With the interest in biomarkers available for diagnostic, therapeutic, prognostic and research applications growing rapidly, it is now expected that every pathologist should be aware of the correct application of immunohistochemistry in daily practice. This fully updated fourth edition provides practical guidance about preparation, key uses and pitfalls of antibodies for immunohistology in a unique A-Z format. Seventeen full colour infographics present detail about specific biomarkers, including FOXL2, GATA3 and SOX10, pulling out information about expression in tissues and prognosis. Expanded with new biomarkers and the removal of biomarkers that are no longer in common use, each entry in this concise new edition follows a standard structure for quick and easy access by busy readers.

This book addresses the issues and methods involved in governing risks posed by genetically modified (GM) agriculture. It examines the evolution of policies intended to ensure the safety of GM crops and food products in the United States and Europe and the regulatory approaches and other social controls employed to protect human health, the environment, conventional farming and foods, and the interests and rights of consumers. Discussion encompasses the cultural, political and economic forces that shape the design and application of the methods of risk governance, as well as other contextual features such as the influence of multinational companies seeking acceptance of their GM ventures. This discussion also examines the influence of the dynamic public discourse fostered by progressive concepts of risk governance and the approaches taken to meet its demands for transparency, public participation and appropriate consideration of public perceptions and values despite conflicting views o

As more and more applications and workloads move to the Microsoft Azure cloud, safeguarding them isn't just business-critical, it's existential. To deliver Azure solutions that stand up against unprecedented threats, you must build robust security into your designs, use proven security best practices across the entire development lifecycle, and combine multiple Azure services to optimize security. In Designing & Developing Secure Azure Solutions, a team of leading Azure security experts show how to do just that. Drawing on extensive experience securing Azure workloads of all types and sizes, the authors present both a practical tutorial for addressing immediate challenges, and a definitive design reference you can rely on far into the future. You'll learn how to integrate multiple Azure security technologies at both application and network layers, to make the most of all the platform offers--from design and development to testing, deployment, governance, and compliance.

First published in 1999, Dynamic Issues in Commercial Policy Analysis focuses on the explicit specification of dynamic mechanisms in the formal analytics of trade models. A wide range of modelling approaches is employed to investigate an even wider range of policy issues, with an overall objective of further extension of the basic conceptual framework of applied commercial policy analysis in the direction of dynamic issues and applications. Professors Baldwin and Francois and their contributors emphasise methods for the analysis of interactions between commercial policy and leading policy issues, including investment performance, economic growth and innovation, the location of industry, migration, and the environment.

First published in 1999, Dynamic Issues in Commercial Policy Analysis focuses on the explicit specification of dynamic mechanisms in the formal analytics of trade models. A wide range of modelling approaches is employed to investigate an even wider range of policy issues, with an overall objective of further extension of the basic conceptual framework of applied commercial policy analysis in the direction of dynamic issues and applications. Professors Baldwin and Francois and their contributors emphasise methods for the analysis of interactions between commercial policy and leading policy issues, including investment performance, economic growth and innovation, the location of industry, migration, and the environment.

●PRINCIPLES OF INSTRUMENTAL ANALYSIS offers the most current data in its coverage and end-of-chapter problem sets, and the authors present material in a student-friendly style that is active and engaging. Examples throughout each chapter aid in solving relevant and interesting problems. The solutions to the problems in each example are indicated so that students can easily separate the problem setup from the problem solution.●Spreadsheet applications have been included throughout to illustrate how these powerful programs can be applied to instrumental methods. Problems accompanied by an icon encourage the use of spreadsheets. When a more detailed approach is required or supplemental reading is appropriate, readers are referred to the authors' companion book, Applications of Microsoft® Excel in Analytical Chemistry, 3e. Those who purchase PRINCIPLES OF INSTRUMENTAL ANALYSIS have full access to this companion text at www.tinyurl.com/skoogpia7. This companion provides assistance in unders

One of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion which played an important role in the early development of the calculus and mathematical analysis. In this new edition basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of 'zero-square', or 'nilpotent' infinitesimal - that is, a quantity so small that its square and all higher powers can be set, literally, to zero. The systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the “infinitesimal” methods figuring in traditional applications of the calculus to physical problems - a number of which are discussed in this book. This edition also contains an expanded historical and philosophical introduction.

This book advances the emergence of a new sub-field of study, the law of consumer redress, which encompasses the various dispute resolution processes for consumers, their regulations, and best practices. The book argues that the institutionalisation of alternative dispute resolution (ADR) bodies are expanding their functions beyond dispute resolution, as they are increasingly providing a public service for consumers that complements, and often replaces, the role of the courts. Although the book focuses on ADR, it also analyses other redress methods, including public enforcement, court adjudication and business internal complaints systems. It proposes a more efficient rationalisation of certified redress bodies, which should be better co-ordinated and accessible through technological means. Accordingly, the book calls for greater integration amongst redress methods and offers recommendations to improve their process design to ensure that, inter alia, traders are encouraged to participat

This book advances the emergence of a new sub-field of study, the law of consumer redress, which encompasses the various dispute resolution processes for consumers, their regulations, and best practices. The book argues that the institutionalisation of alternative dispute resolution (ADR) bodies are expanding their functions beyond dispute resolution, as they are increasingly providing a public service for consumers that complements, and often replaces, the role of the courts. Although the book focuses on ADR, it also analyses other redress methods, including public enforcement, court adjudication and business internal complaints systems. It proposes a more efficient rationalisation of certified redress bodies, which should be better co-ordinated and accessible through technological means. Accordingly, the book calls for greater integration amongst redress methods and offers recommendations to improve their process design to ensure that, inter alia, traders are encouraged to participat

Computational experiments on algorithms can supplement theoretical analysis by showing what algorithms, implementations and speed-up methods work best for specific machines or problems. This book guides the reader through the nuts and bolts of the major experimental questions: What should I measure? What inputs should I test? How do I analyze the data? To answer these questions the book draws on ideas from algorithm design and analysis, computer systems, and statistics and data analysis. The wide-ranging discussion includes a tutorial on system clocks and CPU timers, a survey of strategies for tuning algorithms and data structures, a cookbook of methods for generating random combinatorial inputs, and a demonstration of variance reduction techniques. The book can be used by anyone who has taken a course or two in data structures and algorithms. A companion website, AlgLab (www.cs.amherst.edu/alglab) contains downloadable files, programs and tools for use in experimental projects.

Computational experiments on algorithms can supplement theoretical analysis by showing what algorithms, implementations and speed-up methods work best for specific machines or problems. This book guides the reader through the nuts and bolts of the major experimental questions: What should I measure? What inputs should I test? How do I analyze the data? To answer these questions the book draws on ideas from algorithm design and analysis, computer systems, and statistics and data analysis. The wide-ranging discussion includes a tutorial on system clocks and CPU timers, a survey of strategies for tuning algorithms and data structures, a cookbook of methods for generating random combinatorial inputs, and a demonstration of variance reduction techniques. The book can be used by anyone who has taken a course or two in data structures and algorithms. A companion website, AlgLab (www.cs.amherst.edu/alglab) contains downloadable files, programs and tools for use in experimental projects.

This comprehensive and accessible text teaches the fundamentals of digital communication via a top-down-reversed approach, specifically formulated for a one-semester course. The unique approach focuses on the transmission problem and develops knowledge of receivers before transmitters. In doing so it cuts straight to the heart of the digital communication problem, enabling students to learn quickly, intuitively, and with minimal background knowledge. Beginning with the decision problem faced by a decoder and going on to cover receiver designs for different channels, hardware constraints, design trade-offs, convolutional coding, Viterbi decoding, and passband communication, detail is given on system-level design as well as practical applications in engineering. All of this is supported by numerous worked examples, homework problems, and MATLAB simulation exercises to aid self-study, providing a solid basis for students to specialize in the field of digital communication and making it su

Syntax: Basic Concepts and Applications provides a systematic introduction to core topics in syntax, focusing on how the basic concepts apply in the analysis of sentences. Assuming no background in linguistic analysis, the book gives students a working knowledge of syntactic analysis from a minimalist perspective. Step by step it explains the fundamentals of phrase structure, movement and deletion. Well-placed exercises throughout reinforce and extend the concepts and analyses presented in the text, allowing readers to gain understanding of progressively complex issues at a comfortable pace. Much of the data comes from English, but crucial examples are also drawn from a range of other languages, including Russian, Chinese, Japanese, French, Italian, Spanish, Irish, Welsh and Greek.

The use of laser pulses to alter the internal quantum structure of individual atoms and molecules has applications in quantum information processing, the coherent control of chemical reactions and in quantum-state engineering. This book presents the underlying theory of such quantum-state manipulation for researchers and graduate students. The book provides the equations, and approaches for their solution, which can be applied to complicated multilevel quantum systems. It also gives the background theory for application to isolated atoms or trapped ions, simple molecules and atoms embedded in solids. Particular attention is given to the ways in which quantum changes can be displayed graphically to help readers understand how quantum changes can be controlled.

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze

Understand the fundamental concepts, theoretical background, major experimental observations, and device applications of graphene photonics with this self-contained text. Systematically and rigorously developing each concept and theoretical model from the ground up, it guides readers through the major topics, from basic properties and band structure to electronic, optical, optoelectronic, and nonlinear optical properties, and plasmonics and photonic devices. The connections between theory, modeling, experiment, and device concepts are demonstrated throughout, and every optical process is analyzed through formal electromagnetic analysis. Suitable for both self-study and a one-semester or one-quarter course, this is the ideal text for graduate students and researchers in photonics, optoelectronics, nanoscience and nanotechnology, and optical and solid-state physics, who are working in this rapidly developing field.

In this collection, archaeologists, historians, geographers and language specialists re-examine the structure and political development of Celtic states scattered across present-day Europe. The main theoretical focus is on whether and when state-level complexity was attained in the different Celtic settlements. The contributors also discuss and evaluate the various methods for studying Celtic social systems: the historical textual studies, as opposed to the analysis of the archaeological record, and the use of regional comparisons. Interweaving archaeological and textual evidence, the result is an interdisciplinary study of state formation never before attempted on such a wide scale which contributes to our understanding of social complexity in Celtic Europe, and, more generally, to the processes underlying social transformation.

This is the first comprehensive monograph to look in depth at saponins. Saponins are glycosides of triterpenes, steroids or steroid alkaloids which have a very wide distribution in plants and some marine organisms. Their biological activity includes haemolysis and fish poisoning, and the steroid saponins are essential for the manufacture of oral contraceptives and sex hormones. Saponins have also been exploited commercially as soap substitutes and in several other industrial applications. This book gives detailed information on the occurrence and distribution of saponins, their structural types, isolation, analysis and structure determination. Biological and pharmacological activities are discussed, as are aspects of commercial and industrial use. The volume provides a valuable source of data for the different classes of compound and includes and extensive list of references.

This is the first comprehensive monograph to look in depth at saponins. Saponins are glycosides of triterpenes, steroids or steroid alkaloids which have a very wide distribution in plants and some marine organisms. Their biological activity includes haemolysis and fish poisoning, and the steroid saponins are essential for the manufacture of oral contraceptives and sex hormones. Saponins have also been exploited commercially as soap substitutes and in several other industrial applications. This book gives detailed information on the occurrence and distribution of saponins, their structural types, isolation, analysis and structure determination. Biological and pharmacological activities are discussed, as are aspects of commercial and industrial use. The volume provides a valuable source of data for the different classes of compound and includes and extensive list of references.

Advances in qualitative methods and recent developments in the philosophy of science have led to an emphasis on explanation via reference to causal mechanisms. This book argues that the method known as process tracing is particularly well suited to developing and assessing theories about such mechanisms. The editors begin by establishing a philosophical basis for process tracing - one that captures mainstream uses while simultaneously being open to applications by interpretive scholars. Equally important, they go on to establish best practices for individual process-tracing accounts - how micro to go, when to start (and stop), and how to deal with the problem of equifinality. The contributors then explore the application of process tracing across a range of subfields and theories in political science. This is an applied methods book which seeks to shrink the gap between the broad assertion that 'process tracing is good' and the precise claim 'this is an instance of good process tracing

Advances in qualitative methods and recent developments in the philosophy of science have led to an emphasis on explanation via reference to causal mechanisms. This book argues that the method known as process tracing is particularly well suited to developing and assessing theories about such mechanisms. The editors begin by establishing a philosophical basis for process tracing - one that captures mainstream uses while simultaneously being open to applications by interpretive scholars. Equally important, they go on to establish best practices for individual process-tracing accounts - how micro to go, when to start (and stop), and how to deal with the problem of equifinality. The contributors then explore the application of process tracing across a range of subfields and theories in political science. This is an applied methods book which seeks to shrink the gap between the broad assertion that 'process tracing is good' and the precise claim 'this is an instance of good process tracing

Knowing an astrophysical object's distance is key to understanding it. IAU Symposium 289 brought together experts on distance determinations and, importantly, the underlying physics enabling it, covering scales from the solar neighbourhood to the edge of the Universe. It explores how various methods are employed to define the milestones deeper into space, from trigonometry to applications based on general relativistic effects and even more exotic techniques. The contributors to this volume emphasise the physical bases of the methods and recent advances made to further our physical insights. The volume provides a snapshot of the field of distance measurement, offering not only up-to-date results and a cutting-edge account of recent progress, but also full discussion of the pitfalls encountered and the uncertainties that remain. This Symposium is especially timely, as we look forward to the era of high-precision astrometry data from Gaia and very long baseline interferometers on the grou

This 1992 book provides a comprehensive introduction to the theory of electrical circuits for students in the physical sciences taking a first course in electronics. The methods of circuit analysis are clearly explained and illustrated with the aid of numerous worked examples. Applications of the theory relevant to the fields of electronics, telecommunications and power systems are treated throughout. These sections will prepare students for more advanced courses. The text is written for first and second year undergraduate courses in electronics for science and engineering students. The more specialised sections also provide some advanced material which is covered in third year courses.

This 1992 book provides a comprehensive introduction to the theory of electrical circuits for students in the physical sciences taking a first course in electronics. The methods of circuit analysis are clearly explained and illustrated with the aid of numerous worked examples. Applications of the theory relevant to the fields of electronics, telecommunications and power systems are treated throughout. These sections will prepare students for more advanced courses. The text is written for first and second year undergraduate courses in electronics for science and engineering students. The more specialised sections also provide some advanced material which is covered in third year courses.

This comprehensive and self-contained text presents the fundamentals of optical imaging from the viewpoint of both ray and wave optics, within a single volume. Comprising three distinct parts, it opens with an introduction to electromagnetic theory, including electromagnetic diffraction problems and how they can be solved with the aid of standard numerical methods such as RCWA or FDTD. The second part is devoted to the basic theory of geometrical optics and the study of optical aberrations inherent in imaging systems, including large-scale telescopes and high-resolution projection lenses. A detailed overview of state-of-the-art optical system design provides readers with the necessary tools to successfully use commercial optical design software. The final part explores diffraction theory and concludes with vectorial wave propagation, image formation and image detection in high-aperture imaging systems. The wide-ranging perspective of this important book provides researchers and profess

Monoclonal antibodies have a very important and wide-ranging role in many areas of biomedical research and this volume is amongst the very first to combine technical and clinical aspects of the subject. Monoclonal antibodies provide highly specific reagents with which to identify, analyse, quantitate and manipulate molecules - both in solution and in solid phase, such as at a cell surface. The aim of this book is therefore to provide a unique combination of the production (by both cellular and molecular biology techniques), structure and functional characteristics of monoclonal antibodies, together with detailed discussions of the various analytic, diagnostic and therapeutic applications of these antibodies in many areas of clinical medicine, including histopathology, oncology, transplantation, infectious diseases, rheumatology, haematology and dermatology.

Particle image velocimetry, or PIV, refers to a class of methods used in experimental fluid mechanics to determine instantaneous fields of the vector velocity by measuring the displacements of numerous fine particles that accurately follow the motion of the fluid. Although the concept of measuring particle displacements is simple in essence, the factors that need to be addressed to design and implement PIV systems that achieve reliable, accurate, and fast measurements and to interpret the results are surprisingly numerous. The aim of this book is to analyse and explain them comprehensively.

Process flowsheeting concerns the use of computers to stimulate and design chemical plant of all types, such as petroleum refineries, petrochemical complexes or even food factories. In this 1979 introduction to the topic the authors examine the role of flowsheeting in process plant design and look at the various techniques on which computer-aided systems may be based. For each one of these approaches the advantages and disadvantages are clearly stated and the four most important methods are described in detail. In each case the motivation for its development is analysed and its use is illustrated by a number of practical examples. Particular attention is devoted to the underlying technology of process flowsheeting systems, and an introduction to the analysis of degrees of freedom in flowsheeting and a guide to further reading are also included. This book will still hold value for those interested in the historical development of process flowsheeting.

This monograph presents a complete guide to the theory of modern spectroscopy of atoms. Atomic spectroscopy continues to be one of the most important subjects of contemporary physics. The book describes the contemporary state of the theory of many-electron atoms and ions, the peculiarities of their structure and spectra, the processes of their interaction with radiation, and some of the applications of atomic spectroscopy. It contains a large number of new results, which have been published mainly in Russian and are therefore almost unknown to western scientists. Primarily a reference for researchers and graduate students in atomic physics and physical chemistry, this work will also be of value to physicists and chemists in other areas who use spectroscopy in their work.

Why do people run for office with opposition parties in electoral authoritarian regimes, where the risks of running are high, and the chances of victory are bleak? In Activist Origins of Political Ambition, Keith Weghorst offers a theory that candidacy decisions are set in motion in early life events and that civic activism experiences and careers in civil society organizations funnel aspirants towards opposition candidacy in electoral authoritarian regimes. The book also adapts existing explanations of candidacy decisions derived from leading democracies that can be applied to electoral authoritarian contexts. The mixed-methods research design features an in-depth study of Tanzania using original survey data, sequence methods, archival research, and qualitative data combined with an analysis of legislators across authoritarian and democratic regimes in Africa. A first-of-its kind study, the book's account of the origins of candidacy motivations offers contributions to its study in aut

The problem of stochastic control of partially observable systems plays an important role in many applications. All real problems are in fact of this type, and deterministic control as well as stochastic control with full observation can only be approximations to the real world. This justifies the importance of having a theory as complete as possible, which can be used for numerical implementation. This book first presents those problems under the linear theory that may be dealt with algebraically. Later chapters discuss the nonlinear filtering theory, in which the statistics are infinite dimensional and thus, approximations and perturbation methods are developed.

Over the years, there has been more and more research to test the validity of personnel assessment methods, an area which is far from easy. This book compares traditional practices against new techniques, including social media analytics, wearables, mobile phone logs, and gamification. Researchers and businesses alike know the importance of making good, and avoiding bad, selection decisions, but are unsure of how to proceed effectively. This book maps out the viable options and advises on best practice. The author combines both practical applications and academic, psychological research to explain how each method works, the theory behind it, and the extent of the evidence that supports it.

Over the years, there has been more and more research to test the validity of personnel assessment methods, an area which is far from easy. This book compares traditional practices against new techniques, including social media analytics, wearables, mobile phone logs, and gamification. Researchers and businesses alike know the importance of making good, and avoiding bad, selection decisions, but are unsure of how to proceed effectively. This book maps out the viable options and advises on best practice. The author combines both practical applications and academic, psychological research to explain how each method works, the theory behind it, and the extent of the evidence that supports it.

This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

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