Classical Recursion Theory

This Companion volume provides a comprehensive overview of the major themes and topics pertinent to ancient Greek law. A substantial introduction establishes the recent historiography on this topic and its development over the last 30 years. Many of the 22 essays, written by an international team of experts, deal with procedural and substantive law in classical Athens, but significant attention is also paid to legal practice in the archaic and Hellenistic eras; areas that offer substantial evidence for legal practice, such as Crete and Egypt; the intersection of law with religion, philosophy, political theory, rhetoric, and drama, as well as the unity of Greek law and the role of writing in law. The volume is intended to introduce non-specialists to the field as well as to stimulate new thinking among specialists.

The Mind of the Master Class tells of America's greatest historical tragedy. It presents the slaveholders as men and women, a great many of whom were intelligent, honorable, and pious. It asks how people who were admirable in so many ways could have presided over a social system that proved itself an enormity and inflicted horrors on their slaves. The South had formidable proslavery intellectuals who participated fully in transatlantic debates and boldly challenged an ascendant capitalist ('free-labor') society. Blending classical and Christian traditions, they forged a moral and political philosophy designed to sustain conservative principles in history, political economy, social theory, and theology, while translating them into political action. Even those who judge their way of life most harshly have much to learn from their probing moral and political reflections on their times - and ours - beginning with the virtues and failings of their own society and culture.

Spanning a variety of disciplines, this 1995 enquiry focuses on one particular Pauline characteristic: the apostle's habit of making matters of faith the object of logical appraisal. A tracing of the elliptical patterns of argument in Romans 1-8 illustrates this habit and, at the same time, displays how Paul's vigorous persistence in it seems often not to be matched by the solidity, or at any rate the lucidity, of his logic. By viewing Paul against the background of semiology, more especially the semiological theory of Umberto Eco, new light is shed on the genesis of Paul's reasoning. The discussion which ensues is marked by an interesting and productive combination of modern linguistics and classical logic. Moreover, the singular potential of today's techniques of 'fuzzy' logical analysis for measuring the intellectual muscle of Paul's argumentation is brought out dramatically by the uniqueness of his semiological situation. His rationality takes on a new face.

Collisional transport theory is of central importance to modern plasma physics. This book provides a self-contained treatment of the subject, starting from elementary concepts and developing the theory through to the research frontier. Basic tools of kinetic plasma theory, such as the drift kinetic equation and the Coulomb collision operator, are derived, and are then used to calculate classical and neoclassical transport occurring in high-temperature plasmas. Important phenomena such as neo-classical diffusion, bootstrap current, and plasma rotation are carefully explained. Students, theoreticians and experimentalists in both fusion and space plasma physics will benefit from this book, which emerged from a graduate student level course taught at MIT.

The Mind of the Master Class tells of America's greatest historical tragedy. It presents the slaveholders as men and women, a great many of whom were intelligent, honorable, and pious. It asks how people who were admirable in so many ways could have presided over a social system that proved itself an enormity and inflicted horrors on their slaves. The South had formidable proslavery intellectuals who participated fully in transatlantic debates and boldly challenged an ascendant capitalist ('free-labor') society. Blending classical and Christian traditions, they forged a moral and political philosophy designed to sustain conservative principles in history, political economy, social theory, and theology, while translating them into political action. Even those who judge their way of life most harshly have much to learn from their probing moral and political reflections on their times - and ours - beginning with the virtues and failings of their own society and culture.

This is the first-ever history of the literary theory and criticism produced during the Middle Ages that covers all the main traditions in Latin, the major European vernaculars and Byzantine Greek. Starting with the study of grammar and the formal 'arts' of poetry, letter-writing and preaching, it proceeds to offer a full description of the Latin commentary tradition on classical and classicising literature, followed by explanations of medieval views on literary imagination and memory and the ways in which certain texts were believed to achieve moral profit through pleasure. Subsequent essays explore the diverse theoretical and critical traditions which developed in the vernacular languages, ranging from Medieval Irish to Old Norse, Occitan to Middle High German, concentrating particularly on Dante and his commentators and Italian humanist criticism. The volume concludes with an examination of the attitudes to literature and its uses in Greek Byzantium.

This book, first published in 2000, provides a comprehensive introduction to the theory of magnetic field line reconnection, now a major subject in plasma physics. The book focuses on the various reconnection mechanisms dominating magnetic processes under the different plasma conditions encountered in astrophysical systems and in laboratory fusion devices. The book consists of two major parts: the first deals with the classical resistive approach, while the second presents an overview of weakly collisional or collisionless plasmas. Applications primarily concern astrophysical phenomena and dynamo theory, with emphasis on the solar and geodynamo, as well as magnetospheric substorms, the most spectacular reconnection events in the magnetospheric plasma. The theoretical procedures and results also apply directly to reconnection processes in laboratory plasmas, in particular the sawtooth phenomenon in tokamaks. The book will be of value to graduate students and researchers interested in ma

Automatic control systems have become essential features in virtually every area of technology, from machine tools to aerospace vehicles. This book is a comprehensive, clearly written introduction to automatic control engineering. The author begins with the fundamentals of modelling mechanical, electrical, and electromechanical systems in the state variable format. The emphasis is on classical feedback control theory and design, and their application to practical electromechanical and aerospace problems. Following a careful grounding in classical control theory, the author introduces modern control theory, including digital control and nonlinear system analysis. Over 230 problems help the reader apply principles discussed in the text to practical engineering situations. Engineering students and practising engineers will find all they need to know about control system analysis and design in this valuable text.

This Companion volume provides a comprehensive overview of the major themes and topics pertinent to ancient Greek law. A substantial introduction establishes the recent historiography on this topic and its development over the last 30 years. Many of the 22 essays, written by an international team of experts, deal with procedural and substantive law in classical Athens, but significant attention is also paid to legal practice in the archaic and Hellenistic eras; areas that offer substantial evidence for legal practice, such as Crete and Egypt; the intersection of law with religion, philosophy, political theory, rhetoric, and drama, as well as the unity of Greek law and the role of writing in law. The volume is intended to introduce non-specialists to the field as well as to stimulate new thinking among specialists.

This textbook presents security studies as a branch of international relations theory, providing readers with the critical conceptual tools to develop their expertise. The author evaluates the claims of rival theories - realism, neorealism, liberal institutionalism, classical economic liberalism, and Marxism - to explain why international actors choose or eschew force and coercive threats in order to elicit favorable outcomes in their interdependent exchanges. Also discussed are behaviorism and constructivism, contesting approaches to validate prevailing security paradigms. The author argues that only an interdisciplinary approach to security, drawing on the insights of each perspective, can meet the rigorous requirements of testable theory and the practical needs of actors in an increasingly globalizing world. The book will provide students and scholars of international relations and security studies with a valuable survey of the subject, and includes essay questions and guides to fur

This textbook presents security studies as a branch of international relations theory, providing readers with the critical conceptual tools to develop their expertise. The author evaluates the claims of rival theories - realism, neorealism, liberal institutionalism, classical economic liberalism, and Marxism - to explain why international actors choose or eschew force and coercive threats in order to elicit favorable outcomes in their interdependent exchanges. Also discussed are behaviorism and constructivism, contesting approaches to validate prevailing security paradigms. The author argues that only an interdisciplinary approach to security, drawing on the insights of each perspective, can meet the rigorous requirements of testable theory and the practical needs of actors in an increasingly globalizing world. The book will provide students and scholars of international relations and security studies with a valuable survey of the subject, and includes essay questions and guides to fur

This book focuses on the theory of phonon interactions in nanoscale structures with particular emphasis on modern electronic and optoelectronic devices. The continuing progress in the fabrication of semiconductor nanostructures with lower dimensional features has led to devices with enhanced functionality and even novel devices with new operating principles. The critical role of phonon effects in such semiconductor devices is well known. There is therefore a great need for a greater awareness and understanding of confined phonon effects. A key goal of this book is to describe tractable models of confined phonons and how these are applied to calculations of basic properties and phenomena of semiconductor heterostructures. The level of presentation is appropriate for undergraduate and graduate students in physics and engineering with some background in quantum mechanics and solid state physics or devices. A basic understanding of electromagnetism and classical acoustics is assumed.

This book describes the manifestations of chaos in atoms and molecules. The study of chaos is today one of the most active and prolific areas in atomic physics. This is the first attempt to provide a coherent introduction to this fascinating area. In line with its scope, the book is divided into two parts. The first part (chapters 1–5) deals with the theory and principles of classical chaos. The ideas developed here are then applied to actual atomic and molecular physics systems in the second part of the book (chapters 6–10) covering microwave driven surface state electrons, the hydrogen atom in a strong microwave field, the kicked hydrogen atom, chaotic scattering with CsI molecules and the helium atom. The book contains many diagrams and a detailed references list.

This book, first published in 1998, treats turbulence from the point of view of dynamical systems. The exposition centres around a number of important simplified models for turbulent behaviour in systems ranging from fluid motion (classical turbulence) to chemical reactions and interfaces in disordered systems.The modern theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter occurring also in systems outside the realm of hydrodynamics, i.e. chemical reactions or front propagation. The presentation relies heavily on simplified models of turbulent behaviour, notably shell models, coupled map lattices, amplitude equations and interface models, and the focus is primarily on fundamental concepts such as the differences between large and small systems, the nature of correlations and the origin of fractals and of scaling behaviour. This book will be of interest to graduate students and

Classical logic has proved inadequate in various areas of computer science, artificial intelligence, mathematics, philosopy and linguistics. This is an introduction to extensions of first-order logic, based on the principle that many-sorted logic (MSL) provides a unifying framework in which to place, for example, second-order logic, type theory, modal and dynamic logics and MSL itself. The aim is two fold: only one theorem-prover is needed; proofs of the metaproperties of the different existing calculi can be avoided by borrowing them from MSL. To make the book accessible to readers from different disciplines, whilst maintaining precision, the author has supplied detailed step-by-step proofs, avoiding difficult arguments, and continually motivating the material with examples. Consequently this can be used as a reference, for self-teaching or for first-year graduate courses.

A Return to Aesthetics confronts postmodernism's rejection of aesthetics by showing that this critique rests on central concepts of classical aesthetic theory, namely autonomous form, disinterest, and

Loesberg confronts postmodernism's rejection of aesthetics by showing that its critique rests on three central concepts of classical aesthetic theory: autonomous form, disinterest, and symbolic discou

This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, such as dynamical instability, topological analysis, periodic-orbit methods, Liouvillian dynamics, dynamical randomness and large-deviation formalism. These tools are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium. Chaotic Scattering is illustrated with disk scatterers and with examples of unimolecular chemical reactions and then generalized to transport in spatially extended systems. This book will be bought by researchers interested in chaos, dynamical systems, chaotic scattering, and statistical mechanics in theoretical, computational and mathematical physics and also in theoretical chemistry.

Paul Adrien Maurice Dirac was undoubtedly one of the most brilliant and influential physicists of the twentieth century. Between 1925 and 1934, this Nobel Laureate revolutionized physics with his contributions to quantum theory. This book, the first full length biography of Dirac, offers a comprehensive account of his life and presents his physics in its historical context, including known areas such as cosmology and classical electron theory. The author examines Dirac's successes and failures, and pays particular attention to Dirac's opposition to modern quantum electrodynamics - an opposition based on aesthetic objections. This book, which draws extensively from unpublished sources, including Dirac's correspondence with Bohr, Heisenberg, Pauli, Schrödinger, Gamow, and other physicists, is a history of modern physics as seen through one scientist's career.

This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly

Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. The contributions are: Poisson Geometry and Morita Equivalence by Bursztyn and Weinstein; Formality and Star Products by Cattaneo; Lie Groupoids, Sheaves and Cohomology by Moerdijk and Mrcun; Geometric Methods in Representation Theory by Schmid; Deformation Theory: A Powerful Tool in Physics Modelling by Sternheimer.

Is it possible to measure psychological attributes like intelligence, personality and attitudes and if so, how does that work? What does the term 'measurement' mean in a psychological context? This fascinating and timely book discusses these questions and investigates the possible answers that can be given response. Denny Borsboom provides an in-depth treatment of the philosophical foundations of widely used measurement models in psychology. The theoretical status of classical test theory, latent variable theory and positioned in terms of the underlying philosophy of science. Special attention is devoted to the central concept of test validity and future directions to improve the theory and practice of psychological measurement are outlined.

For more than a century, quantum mechanics has served as a very powerful theory that has expanded physics and technology far beyond their classical limits, yet it has also produced some of the mo

This book provides a comprehensive, systematic treatise on development economics, combining classical political economy, modern institutional theory, and current development issues. It addresses one

This book lays out foundations for a "science of morals." Binmore uses game theory as a systematic tool for investigating ethical matters. He reinterprets classical social contract ideas within a gam

This monograph presents a comprehensive description of the theoretical foundations and experimental applications of spectroscopic methods in plasma physics research. The first three chapters introduce the classical and quantum theory of radiation, with detailed descriptions of line strengths and high density effects. The next chapter describes theoretical and experimental aspects of spectral line broadening. The following five chapters are concerned with continuous spectra, level kinetics and cross sections, thermodynamic equilibrium relations, radiative energy transfer, and radiative energy losses. The book concludes with three chapters covering the basics of various applications of plasma spectroscopy to density and temperature measurements and to the determination of some other plasma properties. Over one thousand references not only guide the reader to original research covered in the chapters, but also to experimental details and instrumentation. This will be an important text and

Are human rights part of the problem or part of the solution in the current 'clash of civilizations'? Drawing on a hitherto neglected body of work in classical social theory and combining it with idea

Most discussions of multiculturalism and group rights focus on the relationship between the minority and the majority. This volume advances our understanding of minority rights by focusing on conflicts that arise within minority groups and by examining the different sorts of responses that the liberal state might have to these conflicts. Groups around the world are increasingly successful in maintaining or winning autonomy. In light of this trend, a crucial question emerges: what happens to individuals within groups who find that their group discriminates against them? This volume brings together distinguished scholars who examine this question by weaving together normative political theory with case studies drawn from South Africa, the United States, India, Canada, and Britain. Classical liberalism, deliberative democracy, feminism, and associative democracy are among the theoretical frameworks used to offer solutions to the complex set of issues raised by minorities within minorities

Fluid film bearings are among the best devices for overcoming friction and eliminating wear. They are machine elements and, together with shafts, gears, and cams, constitute the building blocks engineers use in the design and construction of mechanical devices. This book offers a systematic treatment of the fundamentals of fluid film lubrication and fluid film bearings. The introduction places fluid film bearings within the broader context of tribology, a subject that encompasses friction, lubrication, and wear. The early chapters provide a thorough discussion of classical tribological theory. The remainder of the book is devoted to more advanced topics of inertia, thermal and turbulence effects, lubrication of counterformal contacts, and non-Newtonian lubricants. Also included are developing areas, such as lubrication with emulsions. Graduate and senior undergraduate students, researchers, and practising engineers will appreciate this clear, thorough discussion of fluid film lubricati

This book proposes a fresh and original interpretation of Keats' use of classical mythology in his verse. Dr Aske argues that classical antiquity appears to Keats as a supreme fiction, authoritative yet disconcerting, and his poems represent hard endeavours to come to terms with the influence of that fiction. The major poems (most notably Endymion, Hyperion, the Ode on a Grecian Urn and Lamia) form a stage, as it were, upon which is played out a psychic drama between the modern poet and his classical muse. The study is especially bold in its assimilation of historical scholarship and literary theory to a close reading of the texts. Individual poems are discussed in the context of late Enlightenment and Romantic attitudes towards antiquity and in the light of recent critical theory, in particular the theory of literary history and influence formulated by Harold Bloom and Geoffrey Hartman. Keats emerges as a significant example of the way in which a poet tries to establish a distinct ide

Realism is commonly portrayed as theory that reduces international relations to pure power politics. Michael Williams provides an important reexamination of the Realist tradition and its relevance for contemporary international relations. Examining three thinkers commonly invoked as Realism's foremost proponents - Hobbes, Rousseau, and Morgenthau - the book shows that, far from advocating a crude realpolitik, Realism's most famous classical proponents actually stressed the need for a restrained exercise of power and a politics with ethics at its core. These ideas are more relevant than ever at a time when the nature of responsible responses to international problems are at the centre of contemporary political debate. This original interpretation of major thinkers will interest scholars of international relations and the history of ideas.

Most discussions of multiculturalism and group rights focus on the relationship between the minority and the majority. This volume advances our understanding of minority rights by focusing on conflicts that arise within minority groups and by examining the different sorts of responses that the liberal state might have to these conflicts. Groups around the world are increasingly successful in maintaining or winning autonomy. In light of this trend, a crucial question emerges: what happens to individuals within groups who find that their group discriminates against them? This volume brings together distinguished scholars who examine this question by weaving together normative political theory with case studies drawn from South Africa, the United States, India, Canada, and Britain. Classical liberalism, deliberative democracy, feminism, and associative democracy are among the theoretical frameworks used to offer solutions to the complex set of issues raised by minorities within minorities

Realism is commonly portrayed as theory that reduces international relations to pure power politics. Michael Williams provides an important reexamination of the Realist tradition and its relevance for contemporary international relations. Examining three thinkers commonly invoked as Realism's foremost proponents - Hobbes, Rousseau, and Morgenthau - the book shows that, far from advocating a crude realpolitik, Realism's most famous classical proponents actually stressed the need for a restrained exercise of power and a politics with ethics at its core. These ideas are more relevant than ever at a time when the nature of responsible responses to international problems are at the centre of contemporary political debate. This original interpretation of major thinkers will interest scholars of international relations and the history of ideas.

Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate stude

This book is intended for use in a rigorous introductory PhD level course in econometrics, or in a field course in econometric theory. It covers the measure-theoretical foundation of probability theory, the multivariate normal distribution with its application to classical linear regression analysis, various laws of large numbers, central limit theorems and related results for independent random variables as well as for stationary time series, with applications to asymptotic inference of M-estimators, and maximum likelihood theory. Some chapters have their own appendices containing the more advanced topics and/or difficult proofs. Moreover, there are three appendices with material that is supposed to be known. Appendix I contains a comprehensive review of linear algebra, including all the proofs. Appendix II reviews a variety of mathematical topics and concepts that are used throughout the main text, and Appendix III reviews complex analysis. Therefore, this book is uniquely self-conta

This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theories of physics such as classical and quantum mechanics, thermodynamics, and special and general relativity are also developed in detail, and presented in the appropriate mathematical language. The book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics, as well as applied mathematics. It includes numerous exercises and worked examples, to test the reader's understanding of the various concepts, as well as extending the themes covered in the main text. The only prerequisites are elementary calculus and linear algebra. No prior knowledge of group theory, abstract vector spaces or topology is required.

Achille Bocchi and the Emblem Book as Symbolic Form is an introductory study of the Symbolicae Quaestiones, published in Bologna in 1555, in which Elizabeth See Watson argues that the context of the Symbolicae Quaestiones reflects the intellectual and cultural currents of the university and the literary academies rather than the hidden heresies of the sixteenth century. In order to make Bocchi's work more accessible to readers, the first part of the book provides a biographical context. The second part explores poetic theory and the symbol in the development of Bocchi's symbols, then examines the rhetorical strategy of paradox and the symbolism of mythology in the way they shape the content of the work. Bocchi fashioned his symbols, each one an emblematic unit of poem, engraving, and motto, from a mix of classical and post-classical myth, symbol, and fable and from allusions to his contemporaries. The iconography of these emblematic units and of the closely related facade design for Bo

This book, first published in 2004, develops a theory for the understanding of Roman pictorial art. By treating Roman art as a semantic system it establishes a connection between artistic forms and the ideological messages contained within. The history of Roman art traditionally followed the model of a sequence of stylistic phases affecting the works of their era in the manner of a uniform Zeitgeist. By contrast, the author shows different stylistic forms being used for different themes and messages. The reception of Greek models, a key phenomenon of Roman art, thus appear in a new light. The formulations of specific messages are established from Greek art types of different eras serving to express Roman ideological values: classical forms for the grandeur of the state, Hellenistic forms for the struggling effort of warfare. In this way a conceptual and comprehensible pictorial language arose, uniting the multicultural population of the Roman state.

Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of structured ring spectra as well as survey papers describing these and relationships between them. One important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative ring structures on spectra. A different topic is the transfer of classical algebraic methods and ideas, such as Morita theory, to the world of stable homotopy.

This book, first published in 2004, develops a theory for the understanding of Roman pictorial art. By treating Roman art as a semantic system it establishes a connection between artistic forms and the ideological messages contained within. The history of Roman art traditionally followed the model of a sequence of stylistic phases affecting the works of their era in the manner of a uniform Zeitgeist. By contrast, the author shows different stylistic forms being used for different themes and messages. The reception of Greek models, a key phenomenon of Roman art, thus appear in a new light. The formulations of specific messages are established from Greek art types of different eras serving to express Roman ideological values: classical forms for the grandeur of the state, Hellenistic forms for the struggling effort of warfare. In this way a conceptual and comprehensible pictorial language arose, uniting the multicultural population of the Roman state.