Higher-Order Components for Grid Programming

This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.

In the last twenty to thirty years, a new way to understand complex systems has emerged in the natural sciences - an approach often called non-linear dynamics, dynamical systems theory, or chaos theory. This perspective has allowed scientists to trace the emergence of order from disorder and complex, higher-order forms from interactions among lower-order constituents. This is called self-organization, and is thought to be responsible for change and continuity in physical, biological, and social systems. Recently, principles of self-organizing dynamic systems have been imported into psychology, especially developmental psychology, where they have helped us reconceptualize basic processes in motor and cognitive development. Emotion, Development, and Self-Organization is the first book to apply these principles to emotional development. The contributors address fundamental issues such as the biological bases of emotion and development, relations between cognition and emotion in real time

In the last twenty to thirty years, a new way to understand complex systems has emerged in the natural sciences - an approach often called non-linear dynamics, dynamical systems theory, or chaos theory. This perspective has allowed scientists to trace the emergence of order from disorder and complex, higher-order forms from interactions among lower-order constituents. This is called self-organization, and is thought to be responsible for change and continuity in physical, biological, and social systems. Recently, principles of self-organizing dynamic systems have been imported into psychology, especially developmental psychology, where they have helped us reconceptualize basic processes in motor and cognitive development. Emotion, Development, and Self-Organization is the first book to apply these principles to emotional development. The contributors address fundamental issues such as the biological bases of emotion and development, relations between cognition and emotion in real time

Stream processing is a novel distributed computing paradigm that supports the gathering, processing and analysis of high-volume, heterogeneous, continuous data streams, to extract insights and actionable results in real time. This comprehensive, hands-on guide combining the fundamental building blocks and emerging research in stream processing is ideal for application designers, system builders, analytic developers, as well as students and researchers in the field. This book introduces the key components of the stream computing paradigm, including the distributed system infrastructure, the programming model, design patterns and streaming analytics. The explanation of the underlying theoretical principles, illustrative examples and implementations using the IBM InfoSphere Streams SPL language and real-world case studies provide students and practitioners with a comprehensive understanding of such applications and the middleware that supports them.

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.

Sangaku is the captivating new number game that uses simple math and logic to reveal the mystic harmony and powerful symmetry of numbers. These puzzles work a bit like Sudoku: the player is presented with a pattern, shape, or grid, and must put the correct numbers in the right spaces in order to complete the puzzle based on mathematical rules. But Sangaku puzzles force you to think outside the box — literally! They can be any size, shape, or arrangement, and may call on any set of numbers, not just zero through nine. But despite their limitless variety and unpredictable challenges, these puzzles require nothing more than basic math skills and elbow grease to complete. Japanese for “mathematical tablet,” Sangaku puzzles are named for ancient devotional tablets featuring complex geometry problems left in temples and shrines centuries ago. The puzzles in this book evoke the same feelings of awe for the mystery, complexity, and power of numbers that inspired the mathematicians and mystics

Written in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning.

This balanced and comprehensive study presents the theory, methods and applications of matrix analysis in a new theoretical framework, allowing readers to understand second-order and higher-order matrix analysis in a completely new light. Alongside the core subjects in matrix analysis, such as singular value analysis, the solution of matrix equations and eigenanalysis, the author introduces new applications and perspectives that are unique to this book. The very topical subjects of gradient analysis and optimization play a central role here. Also included are subspace analysis, projection analysis and tensor analysis, subjects which are often neglected in other books. Having provided a solid foundation to the subject, the author goes on to place particular emphasis on the many applications matrix analysis has in science and engineering, making this book suitable for scientists, engineers and graduate students alike.

This book describes the detailed processes and techniques essential for the scientific investigation of atrocity crimes. It includes methods for the location, evaluation, excavation, recovery, and recording of mass graves and the analysis of human remains and other evidence in order to establish the identity of victims and the cause and manner of their deaths. This volume establishes protocols and standard operating procedures to guide standards and approaches that can be used for both judicial and humanitarian contexts. The procedures for field and mortuary application are flexible and can meet specific project aims, constraints, and contexts. The phases of activity and detailed methodological approaches set out in this book describe components of a complex scientific process. Chapters examine the evaluation of possible sites, scene of crime management, health and safety, key roles, excavation of graves, forensic sciences, mortuary management, analysis of human remains, and ante-morte

This book describes the detailed processes and techniques essential for the scientific investigation of atrocity crimes. It includes methods for the location, evaluation, excavation, recovery, and recording of mass graves and the analysis of human remains and other evidence in order to establish the identity of victims and the cause and manner of their deaths. This volume establishes protocols and standard operating procedures to guide standards and approaches that can be used for both judicial and humanitarian contexts. The procedures for field and mortuary application are flexible and can meet specific project aims, constraints, and contexts. The phases of activity and detailed methodological approaches set out in this book describe components of a complex scientific process. Chapters examine the evaluation of possible sites, scene of crime management, health and safety, key roles, excavation of graves, forensic sciences, mortuary management, analysis of human remains, and ante-morte

Every day, millions of children experience serious mental health issues, such as symptoms related to autism, psychosis, mania, depression, and anxiety. Moreover, many youth struggle with issues related to trauma, eating, sleep, disruptive behavior, and substance use. Most of these youth do not receive evidence-based treatments. Instead, they commonly receive untested, ineffective, and even harmful treatments. Child and Adolescent Psychotherapy presents the research-supported treatment packages and their individual components for every major mental health issue facing infants, children, and adolescents. Each chapter also identifies and analyzes other variables and resources that influence treatment: parents, assessment, comorbidity, demographics and medication. Useful resources are included for each mental health issued covered in the book. The chapters are organized in the same order as they appear in the DSM-5.

Every day, millions of children experience serious mental health issues, such as symptoms related to autism, psychosis, mania, depression, and anxiety. Moreover, many youth struggle with issues related to trauma, eating, sleep, disruptive behavior, and substance use. Most of these youth do not receive evidence-based treatments. Instead, they commonly receive untested, ineffective, and even harmful treatments. Child and Adolescent Psychotherapy presents the research-supported treatment packages and their individual components for every major mental health issue facing infants, children, and adolescents. Each chapter also identifies and analyzes other variables and resources that influence treatment: parents, assessment, comorbidity, demographics and medication. Useful resources are included for each mental health issued covered in the book. The chapters are organized in the same order as they appear in the DSM-5.

Questions concerning the nature of insight in patients with mental illness have interested clinicians for a long time. To what extent can patients understand disorders which affect their mental function? Does insight carry a prognostic value? Is impaired insight determined by the illness or are other factors important? Despite considerable research examining insight in patients with psychoses, non-psychotic disorders and chronic organic brain syndromes, results are inconclusive and insight remains a source of some mystification. Ivana S. Marková examines the problems involved in studying insight in patients with mental illness in order to provide a clearer understanding of the factors that determine its clinical manifestation. She puts forward a new model to illustrate the relationship between different components of insight in theoretical and clinical terms, and points to directions for future research.

This book is a collection of essays written in honor of Professor Peter C. B. Phillips of Yale University by some of his former students. The essays analyze a number of important issues in econometrics, all of which Professor Phillips has directly influenced through his seminal scholarly contribution as well as through his remarkable achievements as a teacher. The essays are organized to cover topics in higher-order asymptotics, deficient instruments, nonstationary, LAD and quantile regression, and nonstationary panels. These topics span both theoretical and applied approaches and are intended for use by professionals and advanced graduate students.

This book is a collection of essays written in honor of Professor Peter C. B. Phillips of Yale University by some of his former students. The essays analyze a number of important issues in econometrics, all of which Professor Phillips has directly influenced through his seminal scholarly contribution as well as through his remarkable achievements as a teacher. The essays are organized to cover topics in higher-order asymptotics, deficient instruments, nonstationary, LAD and quantile regression, and nonstationary panels. These topics span both theoretical and applied approaches and are intended for use by professionals and advanced graduate students.

This book develops the theory of typed feature structures, a data structure that generalizes both first-order terms and feature structures of unification-based grammars to include inheritance, typing, inequality, cycles and intensionality. The resulting synthesis serves as a logical foundation for grammars, logic programming and constraint-based reasoning systems. A logical perspective is adopted which employs an attribute-value description language along with complete equational axiomatizations of the various systems of feature structures. At the same time, efficiency concerns are kept in mind and complexity and representability results are provided. The application of feature structures to phrase structure grammars is described and completeness results are shown for standard evaluation strategies. Definite clause logic programs are treated as a special case of phrase structure grammars. Constraint systems are introduced and an enumeration technique is developed for solving arbitrary

There have been major changes to mental health services internationally in recent years revolving around the concept of care in the community. Although speed of change and precise service mechanisms differ between countries there is nevertheless increasingly widespread consensus on key components essential to adequate care provision. This in turn provides an opportunity to develop a widely acceptable model framework to direct future developments. There is certainly still room for reform in recognition of specific needs and improvements in treatment and care intervention. This book proposes a simple model which can be used as a guide to increased clinical effectiveness through focused evidence-based reform. Using a time/space framework, it is intended to act as a practical aid to diagnosis of strengths and weaknesses in services that will be used by care providers, trainees and planners both at local and higher levels.

There have been major changes to mental health services internationally in recent years revolving around the concept of care in the community. Although speed of change and precise service mechanisms differ between countries there is nevertheless increasingly widespread consensus on key components essential to adequate care provision. This in turn provides an opportunity to develop a widely acceptable model framework to direct future developments. There is certainly still room for reform in recognition of specific needs and improvements in treatment and care intervention. This book proposes a simple model which can be used as a guide to increased clinical effectiveness through focused evidence-based reform. Using a time/space framework, it is intended to act as a practical aid to diagnosis of strengths and weaknesses in services that will be used by care providers, trainees and planners both at local and higher levels.

This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory. which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specialising in category theory.

This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory. which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specialising in category theory.

The Price of Freedom Denied shows that, contrary to popular opinion, ensuring religious freedom for all reduces violent religious persecution and conflict. Others have suggested that restrictions on religion are necessary to maintain order or preserve a peaceful religious homogeneity. Brian J. Grim and Roger Finke show that restricting religious freedoms is associated with higher levels of violent persecution. Relying on a new source of coded data for nearly 200 countries and case studies of six countries, the book offers a global profile of religious freedom and religious persecution. Grim and Finke report that persecution is evident in all regions and is standard fare for many. They also find that religious freedoms are routinely denied and that government and the society at large serve to restrict these freedoms. They conclude that the price of freedom denied is high indeed.

The Price of Freedom Denied shows that, contrary to popular opinion, ensuring religious freedom for all reduces violent religious persecution and conflict. Others have suggested that restrictions on religion are necessary to maintain order or preserve a peaceful religious homogeneity. Brian J. Grim and Roger Finke show that restricting religious freedoms is associated with higher levels of violent persecution. Relying on a new source of coded data for nearly 200 countries and case studies of six countries, the book offers a global profile of religious freedom and religious persecution. Grim and Finke report that persecution is evident in all regions and is standard fare for many. They also find that religious freedoms are routinely denied and that government and the society at large serve to restrict these freedoms. They conclude that the price of freedom denied is high indeed.

This 1993 book shows how formal logic can be used to specify the behaviour of hardware designs and reason about their correctness. A primary theme of the book is the use of abstraction in hardware specification and verification. The author describes how certain fundamental abstraction mechanisms for hardware verification can be formalised in logic and used to express assertions about design correctness and the relative accuracy of models of hardware behaviour. His approach is pragmatic and driven by examples. He also includes an introduction to higher-order logic, which is a widely used formalism in this subject, and describes how that formalism is actually used for hardware verification. The book is based in part on the author's own research as well as on graduate teaching. Thus it can be used to accompany courses on hardware verification and as a resource for research workers.

This 1993 book shows how formal logic can be used to specify the behaviour of hardware designs and reason about their correctness. A primary theme of the book is the use of abstraction in hardware specification and verification. The author describes how certain fundamental abstraction mechanisms for hardware verification can be formalised in logic and used to express assertions about design correctness and the relative accuracy of models of hardware behaviour. His approach is pragmatic and driven by examples. He also includes an introduction to higher-order logic, which is a widely used formalism in this subject, and describes how that formalism is actually used for hardware verification. The book is based in part on the author's own research as well as on graduate teaching. Thus it can be used to accompany courses on hardware verification and as a resource for research workers.

COVID-19 has proven among the worst public health crises in a generation. Public health emergencies (PHE) have always been anticipated. Despite the growing field of PHE preparedness and planning since the turn of the twenty-first century and the preparedness plans and exercises developed, the U.S. experienced a suboptimal national response to the emergence of COVID-19 in early 2020 compared to other countries. To explore the U.S. PHE preparedness enterprise, the National Academies Forum on Medical and Public Health Preparedness for Disasters and Emergencies convened a workshop in May 2022. They invited participants from government, NGO, and private sector organizations to consider key components, success stories, and failure points in order to identify opportunities for more effective catastrophic disaster, pandemic, and other large scale PHEs planning at the federal, state, local, tribal, and territorial levels. This Proceedings of a Workshop summarizes the discussions held during the

This is a standard work of reference for the study of the religious history of western Christianity in the later middle ages which, since its original publication in French in 1981, has come to be regarded as one of the great contributions to medieval studies of recent times. Hagiographical texts and reports of the processes of canonisation - a mode of investigation into saints' lives and their miracles implemented by the popes from the end of the twelfth century - are here used for the first time as major source materials. The book illuminates the main features of the medieval religious mind, and highlights the popes' attempts to gain firmer control over the wide variety of expressions of faith towards the saints in order to promote a higher pattern of devotion and moral behaviour among Christians.

A central problem in the design of programming systems is to provide methods for verifying that computer code performs to specification. This book presents a rigorous foundation for defining Boolean categories, in which the relationship between specification and behaviour can be explored. Boolean categories provide a rich interface between program constructs and techniques familiar from algebra, for instance matrix- or ideal-theoretic methods. The book's distinction is that the approach relies on only a single program construct (the first-order theory of categories), the others being derived mathematically from four axioms. Development of these axioms (which are obeyed by an abundance of program paradigms) yields Boolean algebras of 'predicates', loop-free constructs, and a calculus of partial and total correctness which is shown to be the standard one of Hoare, Dijkstra, Pratt, and Kozen. The book is based in part on courses taught by the author, and will appeal to graduate students a

This book may be used as a self-contained manual for BBC-BASIC, the main language of the BBC Microcomputer and Master Series Computers. Information is presented in a form handy for reference. Page 163, for example, tabulates all characters in the ASCII range; pages 124-5 summarize all information needed when composing screens of MODE 7 graphics. A quick reference to all functions and operators is given on page 179; the syntax of every statement and command of BBC-Basic is summarized on pages 180-1. But there is more to this book. How do you make a computer sort names into alphabetical order? Not as obvious as it might seem. Three different sorting techniques are explained by example in this book: bubble sort, monkey puzzle (more formally the 'binary tree') and Quicksort relies on 'recursion' - an important programming concept which is explained and demonstrated. Making coloured objects rebound around the walls of a squash court is another technique demonstrated; so is making voices sin

A holiday picture book from award-winning author/illustrator Lane Smith that features the woodland character, Stickler, who wanders the forest delivering Christmas presents. In a picture book that’s both silly and sweet, readers will be inspired by this story of holiday kindness.Happy-go-lucky Stickler, an original character covered in sticks, is celebrating Christmas by passing out presents for all his friends. He has carefully selected the right stick for each of them, including: a Hop-Higher Stick for Rabbit, an Idea Stick for Crow, an In-a-Pear-Tree Stick for Partridge. But Doug-the-Fir doesn’t want a present, he is too worried about being covered with decorations and lights and being the center of attention. So, Stickler promises to think of a solution and finds the perfect stick. But in order to help his shy friend, Stickler needs to be the one to shine.A Stickler Christmas encourages empathy and kindness with a joyful, lighthearted touch. Lane Smith, the award-winning auth

In this Element, the gas-particle flow problem is formulated with momentum and thermal slip that introduces two relaxation times. Starting from acoustical propagation in a medium in equilibrium, the relaxation-wave equation in airfoil coordinates is derived though a Galilean transformation for uniform flow. Steady planar small perturbation supersonic flow is studied in detail according to Whitham's higher-order waves. The signals owing to wall boundary conditions are damped along the frozen-Mach wave, and are both damped and diffusive along an effective-intermediate Mach wave and diffusive along the equilibrium Mach wave where the bulk of the disturbance propagates. The surface pressure coefficient is obtained exactly for small-disturbance theory, but it is considerably simplified for the small particle-to-gas mass loading approximation, equivalent to a simple-wave approximation. Other relaxation-wave problems are discussed. Martian dust-storm properties in terms of gas-particle flow p

Information seeking is a fundamental human activity. In the modern world, it is frequently conducted through interactions with search systems. The retrieval and comprehension of information returned by these systems is a key part of decision making and action in a broad range of settings. Advances in data availability coupled with new interaction paradigms, and mobile and cloud computing capabilities, have created a broad range of new opportunities for information access and use. In this comprehensive book for professionals, researchers, and students involved in search system design and evaluation, search expert Ryen White discusses how search systems can capitalize on new capabilities and how next-generation systems must support higher order search activities such as task completion, learning, and decision making. He outlines the implications of these changes for the evolution of search evaluation, as well as challenges that extend beyond search systems in areas such as privacy and so

This book is a unique compendium and synthesis of the cumulative knowledge of more than 100 years of discovery and study of North American tertiary mammals. The potentially most valuable contribution of this book is the detailed information of the distribution in time and space of each species at fossil localities, recorded in a uniform scheme, so that each chapter provides the same level of information. Thirty six chapters are devoted to a particular family or order, written by leading North American authorities, including discussion of anatomical features, systematics, and paleobiology. Three introductory chapters summarize information on the geological time scale, Tertiary vegetation, and Pleistocene events, and four summary chapters integrate systematic and biogeographic information for higher taxa. This book will serve as a unique data base for continuing studies in faunal diversification and change, and for questions such as how changing biogeography and climates influenced the e

Engineers and scientists need powerful formalisms to make conceptual models of systems in order to analyse and design them. These models can be used to verify the behaviour of the systems, or as an executable specification of them. In this textbook, Professor van Hee concentrates on discrete dynamic systems, e.g. computer hardware, and information and logistical systems. He develops an integrated formalism which can be used as a prototyping language. It has three components: Petri nets, extended with time, token values and hierarchy; a specification language that is a subset of Z; and a binary data model, extended with complex objects. Much attention is paid to methods for constructing models of systems and analysing their behaviour, i.e. putting the theory into practice. The text is designed for use by advanced undergraduate and beginning graduate students, in computer science, electrical and industrial engineering, or applied mathematics; indeed, it is based on courses taught by the

KILLERS DON'T JUST DISAPPEAR . . .The unmissable brand new Detective Jack Warr thriller from the Queen of Crime Drama, Lynda La Plante - now available to pre-order in hardback, eBook and audiobook. ______________________When an eccentric widow claims she is being stalked by her former lodger, Detective Jack Warr is the only person who believes her wild claims. Days later, she is found brutally murdered in her home.When the investigation uncovers an international drugs operation on the widow's property, the case grows even more complex. And as the hunt for the widow's lodger hits dead end after dead end, it seems that the prime suspect has vanished without a trace. To find answers, Jack must decide how far is he willing to go - and what he is willing to risk - in his search for justice.Because if he crosses the line of the law, one wrong move could cost him everything . . .__________________PRAISE FOR LYNDA LA PLANTE:'DC Jack Warr is clearly destined for higher things, and I look forwar

CompTIA A+ Core 1 (220-1101) and Core 2 (220-1102) Exam Cram is an all-inclusive study guide designed to help you pass the updated versions of the CompTIA A+ exams. Prepare for test day success with complete coverage of exam objectives and topics, plus hundreds of realistic practice questions. Extensive prep tools include quizzes, Exam Alerts, and our essential last-minute review CramSheet. The powerful Pearson Test Prep practice test software provides real-time assessment and feedback with four complete exams. Covers the critical information needed to score higher on your CompTIA A+ Core 1 (220-1101) and Core 2 (220-1102) exams! Install, configure, and troubleshoot PC hardware including CPUs, RAM, video cards, network cards, storage drives, and peripherals Work effectively with mobile devices: laptops, tablets, and smartphones Configure Windows settings, components, and administrative tools Manage and troubleshoot Linux, macOS, Android, and iOS Administer and support basic IT infrast

Standing at the edge of life's abyss, we seek meaningful order. We commonly find this 'symbolic immortality' in religion, civilization, state and nation. What happens, however, when the nation itself appears mortal? The Mortality and Morality of Nations seeks to answer this question, theoretically and empirically. It argues that mortality makes morality, and right makes might; the nation's sense of a looming abyss informs its quest for a higher moral ground, which, if reached, can bolster its vitality. The book investigates nationalism's promise of moral immortality and its limitations via three case studies: French Canadians, Israeli Jews, and Afrikaners. All three have been insecure about the validity of their identity or the viability of their polity, or both. They have sought partial redress in existential self-legitimation: by the nation, of the nation and for the nation's very existence.

In this monograph, the authors present some powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities. Here, the authors take the unique approach of investigating differential inequalities rather than equations, the reason being that the simplest way to study an equation is often to study a corresponding inequality; for example, using sub and superharmonic functions to study harmonic functions. Another unusual feature of the present book is that it is based on integral representation formulae and nonlinear potentials, which have not been widely investigated so far. This approach can also be used to tackle higher order differential equations. The book will appeal to graduate students interested in analysis, researchers in pure and applied mathematics, and engineers who work with partial differential equations. Readers will require only a basic knowledge of functional analysis, measure theory and Sobolev spaces.

Standing at the edge of life's abyss, we seek meaningful order. We commonly find this 'symbolic immortality' in religion, civilization, state and nation. What happens, however, when the nation itself appears mortal? The Mortality and Morality of Nations seeks to answer this question, theoretically and empirically. It argues that mortality makes morality, and right makes might; the nation's sense of a looming abyss informs its quest for a higher moral ground, which, if reached, can bolster its vitality. The book investigates nationalism's promise of moral immortality and its limitations via three case studies: French Canadians, Israeli Jews, and Afrikaners. All three have been insecure about the validity of their identity or the viability of their polity, or both. They have sought partial redress in existential self-legitimation: by the nation, of the nation and for the nation's very existence.

Model order reduction (MOR) techniques reduce the complexity of VLSI designs, paving the way to higher operating speeds and smaller feature sizes. This book presents a systematic introduction to, and treatment of, the key MOR methods employed in general linear circuits, using real-world examples to illustrate the advantages and disadvantages of each algorithm. Following a review of traditional projection-based techniques, coverage progresses to more advanced MOR methods for VLSI design, including HMOR, passive truncated balanced realization (TBR) methods, efficient inductance modeling via the VPEC model, and structure-preserving MOR techniques. Where possible, numerical methods are approached from the CAD engineer's perspective, avoiding complex mathematics and allowing the reader to take on real design problems and develop more effective tools. With practical examples and over 100 illustrations, this book is suitable for researchers and graduate students of electrical and computer eng