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Analytic Methods of Spectral Representations of Non-Selfadjoint (Lecture Notes in Mathematics #2355)
by Vladimir A. ZolotarevThis book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.
Analytic Narratives
by Robert H. Bates Avner Greif Margaret Levi Jean-Laurent Rosenthal Barry R. WeingastStudents of comparative politics have long faced a vexing dilemma: how can social scientists draw broad, applicable principles of political order from specific historical examples? In Analytic Narratives, five senior scholars offer a new and ambitious methodological response to this important question. By employing rational-choice and game theory, the authors propose a way of extracting empirically testable, general hypotheses from particular cases. The result is both a methodological manifesto and an applied handbook that political scientists, economic historians, sociologists, and students of political economy will find essential. In their jointly written introduction, the authors frame their approach to the origins and evolution of political institutions. The individual essays that follow demonstrate the concept of the analytic narrative--a rational-choice approach to explain political outcomes--in case studies. Avner Greif traces the institutional foundations of commercial expansion in twelfth-century Genoa. Jean-Laurent Rosenthal analyzes how divergent fiscal policies affected absolutist European governments, while Margaret Levi examines the transformation of nineteenth-century conscription laws in France, the United States, and Prussia. Robert Bates explores the emergence of a regulatory organization in the international coffee market. Finally, Barry Weingast studies the institutional foundations of democracy in the antebellum United States and its breakdown in the Civil War. In the process, these studies highlight the economic role of political organizations, the rise and deterioration of political communities, and the role of coercion, especially warfare, in political life. The results are both empirically relevant and theoretically sophisticated. Analytic Narratives is an innovative and provocative work that bridges the gap between the game-theoretic and empirically driven approaches in political economy. Political historians will find the use of rational-choice models novel; theorists will discover arguments more robust and nuanced than those derived from abstract models. The book improves on earlier studies by advocating--and applying--a cross-disciplinary approach to explain strategic decision making in history.
Analytic Narratives
by Robert H. Bates Avner Greif Margaret Levi Jean-Laurent Rosenthal Barry R. WeingastStudents of comparative politics have long faced a vexing dilemma: how can social scientists draw broad, applicable principles of political order from specific historical examples? In Analytic Narratives, five senior scholars offer a new and ambitious methodological response to this important question. By employing rational-choice and game theory, the authors propose a way of extracting empirically testable, general hypotheses from particular cases. The result is both a methodological manifesto and an applied handbook that political scientists, economic historians, sociologists, and students of political economy will find essential. In their jointly written introduction, the authors frame their approach to the origins and evolution of political institutions. The individual essays that follow demonstrate the concept of the analytic narrative--a rational-choice approach to explain political outcomes--in case studies. Avner Greif traces the institutional foundations of commercial expansion in twelfth-century Genoa. Jean-Laurent Rosenthal analyzes how divergent fiscal policies affected absolutist European governments, while Margaret Levi examines the transformation of nineteenth-century conscription laws in France, the United States, and Prussia. Robert Bates explores the emergence of a regulatory organization in the international coffee market. Finally, Barry Weingast studies the institutional foundations of democracy in the antebellum United States and its breakdown in the Civil War. In the process, these studies highlight the economic role of political organizations, the rise and deterioration of political communities, and the role of coercion, especially warfare, in political life. The results are both empirically relevant and theoretically sophisticated. Analytic Narratives is an innovative and provocative work that bridges the gap between the game-theoretic and empirically driven approaches in political economy. Political historians will find the use of rational-choice models novel; theorists will discover arguments more robust and nuanced than those derived from abstract models. The book improves on earlier studies by advocating--and applying--a cross-disciplinary approach to explain strategic decision making in history.
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday
by Michael Th. Rassias Carl PomeranceThis volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler's totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivi, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwi, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.
Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava
by Michael Th. Rassias Gradimir V. MilovanovićThis book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016 (Springer Proceedings in Mathematics & Statistics #221)
by George E. Andrews Frank GarvanGathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. <P><P> Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.
Analytic Pattern Matching
by Philippe Jacquet Wojciech SzpankowskiHow do you distinguish a cat from a dog by their DNA? Did Shakespeare really write all of his plays? Pattern matching techniques can offer answers to these questions and to many others, from molecular biology, to telecommunications, to classifying Twitter content. This book for researchers and graduate students demonstrates the probabilistic approach to pattern matching, which predicts the performance of pattern matching algorithms with very high precision using analytic combinatorics and analytic information theory. Part I compiles known results of pattern matching problems via analytic methods. Part II focuses on applications to various data structures on words, such as digital trees, suffix trees, string complexity and string-based data compression. The authors use results and techniques from Part I and also introduce new methodology such as the Mellin transform and analytic depoissonization. More than 100 end-of-chapter problems help the reader to make the link between theory and practice.
Analytic Philosophy: An Anthology
by A. P. Martinich David SosaFeaturing updates and the inclusion of nine new chapters, Analytic Philosophy: An Anthology, 2nd Edition offers a comprehensive and authoritative collection of the most influential readings in analytic philosophy written over the past hundred years. Features broad coverage of analytic philosophy, including such topics as ethics, methodology, and freedom and personal identity Focuses on classic or seminal articles that were especially influential or significant New articles in this edition include Proof of an External World by G. E. Moore, Criteria, Defeasibility, and Knowledge by John McDowell, Sensations and Brain Processes by J. J. C. Smart, selections from Sense and Sensibilia by J. L. Austin, Other Bodies by Tyler Burge, Individualism and Supervenience by Jerry Fodor, Responsibility and Avoidability by Roderick Chisholm, Alternative Possibilities and Moral Responsibility by Harry Frankfurt, and Personal Identity by Derek Parfit Offers diverse approaches to analytic philosophy by including readings from Austin, Wittgenstein, Quine, and Davidson
Analytic Philosophy: An Interpretive History
by Aaron PrestonAnalytic Philosophy: An Interpretive History explores the ways interpretation (of key figures, factions, texts, etc.) shaped the analytic tradition, from Frege to Dummet. It offers readers 17 chapters, written especially for this volume by an international cast of leading scholars. Some chapters are devoted to large, thematic issues like the relationship between analytic philosophy and other philosophical traditions such as British Idealism and phenomenology, while other chapters are tied to more fine-grained topics or to individual philosophers, like Moore and Russell on philosophical method or the history of interpretations of Wittgenstein’s Tractatus. Throughout, the focus is on interpretations that are crucial to the origin, development, and persistence of the analytic tradition. The result is a more fully formed and philosophically satisfying portrait of analytic philosophy.
Analytic Philosophy and Avicenna: Knowing the Unknown (Routledge Studies in Islamic Philosophy)
by Mohammad AzadpurThis work engages in a constructive, yet subtle, dialogue with the nuanced accounts of sensory intentionality and empirical knowledge offered by the Islamic philosopher Avicenna. This discourse has two main objectives: (1) providing an interpretation of Avicenna’s epistemology that avoids reading him as a precursor to British empiricists or as a full-fledged emanatist and (2) bringing light to the importance of Avicenna’s account of experience to relevant contemporary Anglo-American discussions in epistemology and metaphysics. These two objectives are interconnected. Anglo-American philosophy provides the framework for a novel reading of Avicenna on knowledge and reality, and the latter, in turn, contributes to adjusting some aspects of the former. Advancing the Avicennian perspective on contemporary analytic discourse, this volume is a key resource for researchers and students interested in comparative and analytic epistemology and metaphysics as well as Islamic philosophy.
Analytic Philosophy and the Later Wittgensteinian Tradition (History of Analytic Philosophy)
by Paolo TripodiThis book aims to explain the decline of the later Wittgensteinian tradition in analytic philosophy during the second half of the twentieth century. Throughout the 1950s, Oxford was the center of analytic philosophy and Wittgenstein – the later Wittgenstein – the most influential contemporary thinker within that philosophical tradition. Wittgenstein's methods and ideas were widely accepted, with everything seeming to point to the Wittgensteinian paradigm having a similar impact on the philosophical scenes of all English speaking countries. However, this was not to be the case. By the 1980s, albeit still important, Wittgenstein was considered as a somewhat marginal thinker. What occurred within the history of analytic philosophy to produce such a decline? This book expertly traces the early reception of Wittgenstein in the United States, the shift in the humanities to a tradition rooted in the natural sciences, and the economic crisis of the mid-1970s, to reveal the factors that contributed to the eventual hostility towards the later Wittgensteinian tradition.
Analytic Philosophy and the World of the Play (Routledge Advances in Theatre & Performance Studies)
by Michael Y. BennettTheatrical characters’ dual existence on stage and in text presents a unique, challenging case for the analytical philosopher. Analytic Philosophy and the World of the Play re-examines the ontological status of theatre and its fictional objects through the "possible worlds" thesis, arguing that theatre is not a mirror of our world, but a re-creation of it. Taking a fresh look at theatre’s key elements, including the hotly contested relationships between character and actor; onstage and offstage "worlds"; and the play-text and performance, Michael Y. Bennett presents a radical new way of understanding the world of the play.
Analytic Philosophy in America: And Other Historical and Contemporary Essays
by Scott SoamesIn this collection of recent and unpublished essays, leading analytic philosopher Scott Soames traces milestones in his field from its beginnings in Britain and Germany in the late nineteenth and early twentieth century, through its subsequent growth in the United States, up to its present as the world's most vigorous philosophical tradition. The central essay chronicles how analytic philosophy developed in the United States out of American pragmatism, the impact of European visitors and immigrants, the midcentury transformation of the Harvard philosophy department, and the rapid spread of the analytic approach that followed. Another essay explains the methodology guiding analytic philosophy, from the logicism of Frege and Russell through Wittgenstein's linguistic turn and Carnap's vision of replacing metaphysics with philosophy of science. Further essays review advances in logic and the philosophy of mathematics that laid the foundation for a rigorous, scientific study of language, meaning, and information. Other essays discuss W.V.O. Quine, David K. Lewis, Saul Kripke, the Frege-Russell analysis of quantification, Russell's attempt to eliminate sets with his "no class theory," and the Quine-Carnap dispute over meaning and ontology. The collection then turns to topics at the frontier of philosophy of language. The final essays, combining philosophy of language and law, advance a sophisticated originalist theory of interpretation and apply it to U.S. constitutional rulings about due process.
Analytic Philosophy Without Naturalism (Routledge Studies in Twentieth-Century Philosophy)
by Antonella Corradini Sergio Galvan E. Jonathan LoweIn recent years numerous attempts have been made by analytic philosophers to naturalize various different domains of philosophical inquiry. All of these attempts have had the common goal of rendering these areas of philosophy amenable to empirical methods, with the intention of securing for them the supposedly objective status and broad intellectual appeal currently associated with such approaches. This volume brings together internationally recognised analytic philosophers, including Alvin Plantinga, Peter van Inwagen and Robert Audi, to question the project of naturalism. The articles investigate what it means to naturalize a domain of philosophical inquiry and look at how this applies to the various sub-disciplines of philosophy including epistemology, metaphysics and the philosophy of the mind. The issue of whether naturalism is desirable is raised and the contributors take seriously the possibility that excellent analytic philosophy can be undertaken without naturalization. Controversial and thought-provoking, Analytic Philosophy Without Naturalism examines interesting and contentious methodological issues in analytic philosophy and explores the connections between philosophy and science.
Analytic Psychology: Volume II
by G. F. StoutFirst published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Analytic Psychology: Volume I
by G. F. StoutFirst published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Analytic Research Foundations for the Next-Generation Electric Grid
by National Academies of Sciences Engineering MedicineElectricity is the lifeblood of modern society, and for the vast majority of people that electricity is obtained from large, interconnected power grids. However, the grid that was developed in the 20th century, and the incremental improvements made since then, including its underlying analytic foundations, is no longer adequate to completely meet the needs of the 21st century. The next-generation electric grid must be more flexible and resilient. While fossil fuels will have their place for decades to come, the grid of the future will need to accommodate a wider mix of more intermittent generating sources such as wind and distributed solar photovoltaics. Achieving this grid of the future will require effort on several fronts. There is a need for continued shorter-term engineering research and development, building on the existing analytic foundations for the grid. But there is also a need for more fundamental research to expand these analytic foundations. Analytic Research Foundations for the Next-Generation Electric Grid provide guidance on the longer-term critical areas for research in mathematical and computational sciences that is needed for the next-generation grid. It offers recommendations that are designed to help direct future research as the grid evolves and to give the nation’s research and development infrastructure the tools it needs to effectively develop, test, and use this research.
Analytic Semigroups and Semilinear Initial Boundary Value Problems
by Kazuaki TairaThis book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems. This semigroup approach can be traced back to the pioneering work of Fujita and Kato on the Navier-Stokes equation. The author studies non homogeneous boundary value problems for second order elliptic differential operators, in the framework of Sobolev spaces of Lp style, which include as particular cases the Dirichlet and Neumann problems, and proves that these boundary value problems provide an example of analytic semigroups in Lp. This book will be a necessary purchase for researchers with an interest in analytic semigroups or initial value problems.
The Analytic Situation: How Patient and Therapist Communicate
by Peter F. DruckerSignificant as has been the role of psychoanalysis and psychotherapy in contemporary culture and society, its importance continues to grow at an accelerating rate as more specific, focused, and involving forms of therapy are devised. The contributions of eminent practitioners that make up this volume deal with specific types of occurrences in the confrontation between patient and therapist, such as silence, crying, sleeping, touching, use of first names, gifts, note taking, termination, etc. The views expressed here demonstrate how the rigidity of early psychoanalytic theory has yielded to fundamental changes in the handling of the analytic situation; numerous new schools of thought have arisen in attempts to give deeper fulfillment to the needs of patient, analyst, and society. The persuasions of these new schools--Gestaltist, existentialist, neo-Freudian, behavioralist, ego psychologist, rational-emotive, encounter, and many others--underlie the material presented here.Impulsiveness and originality mark all of these departures from orthodoxy. The therapist, becoming more open and more manifestly responsive in his interaction with the patient, is clearly shifting his role from that of an objective listener and interpreter to that of an overt participant in therapy. These trends are further intensified by the fact that the practice of psychotherapy is now carried on, by a vast number of clinical psychologists, personality psychologists, social psychologists, and social workers who have taken up psychotherapy as a professional activity in urban mental health clinics and in a variety of settings outside the major American metropolitan areas.The Analytic Situation provides informative, revealing reading for everyone involved in the psychotherapeutic process. It also offers provocative insights to students and therapists in training.
Analytic Solutions for Flows Through Cascades (Springer Theses)
by Peter Jonathan BaddooThis thesis is concerned with flows through cascades, i.e. periodic arrays of obstacles. Such geometries are relevant to a range of physical scenarios, chiefly the aerodynamics and aeroacoustics of turbomachinery flows. Despite the fact that turbomachinery is of paramount importance to a number of industries, many of the underlying mechanisms in cascade flows remain opaque. In order to clarify the function of different physical parameters, the author considers six separate problems. For example, he explores the significance of realistic blade geometries in predicting turbomachinery performance, and the possibility that porous blades can achieve noise reductions. In order to solve these challenging problems, the author deploys and indeed develops techniques from across the spectrum of complex analysis: the Wiener–Hopf method, Riemann–Hilbert problems, and the Schottky–Klein prime function all feature prominently. These sophisticated tools are then used to elucidate the underlying mathematical and physical structures present in cascade flows. The ensuing solutions greatly extend previous works and offer new avenues for future research. The results are not of simply academic value but are also useful for aircraft designers seeking to balance aeroacoustic and aerodynamic effects.
Analytic SQL in SQL Server 2014/2016
by Riadh GhlalaBusiness Intelligence (BI) has emerged as a field which seeks to support managers in decision-making. It encompasses the techniques, methods and tools for conducting analytically-based IT solutions, which are referred to as OLAP (OnLine Analytical Processing). Within this field, SQL has a role as a leader and is continuously evolving to cover both transactional and analytical data management. This book discusses the functions provided by Microsoft® SQL Server 2014/2016 in terms of business intelligence. The analytic functions are considered as an enrichment of the SQL language. They combine a series of practical functions to answer complex analysis requests with all the simplicity, elegance and acquired performance of the SQL language. Drawing on the wide experience of the author in teaching and research, as well as insights from contacts in the industry, this book focuses on the issues and difficulties faced by academics (students and teachers) and professionals engaged in data analysis with the SQL Server 2014/2016 database management system.
Analytic Support to Intelligence in Counterinsurgencies
by Walter L. Perry John GordonOperations in Iraq and Afghanistan have shown that U.S. forces need more-effective techniques and procedures to conduct counterinsurgency. They will most likely face similar, irregular warfare tactics from future enemies. This monograph examines the nature of the contemporary insurgent threat and provides insights on using operational analysis techniques to support intelligence operations in counterinsurgencies.
Analytic Theism: A Philosophical Investigation (Routledge Studies in the Philosophy of Religion)
by Joshua R. SijuwadeThis book explores and develops a new philosophical argument for the existence of God from metaphysics. It focuses on exploring the pressing questions of God’s existence, the truth of theistic belief, and its relevance in modern philosophy. In doing so, it bridges the discussions and debates in the field of contemporary metaphysics with that of analytic philosophy of religion.At its core, metaphysics is dedicated to unveiling the fundamental structure of reality, playing a critical role in any intellectual endeavour in the quest for truth. However, a noticeable gap has persisted between today’s metaphysical conversations and the debates in analytic philosophy of religion, especially regarding the topic of God’s existence. In this book, the author embarks on a rigorous exploration, presenting an innovative a posteriori argument for theism, rooted in the latest evidence and theories from contemporary metaphysics. The first part of the book details the explanatory framework of the analysis, which is focused on introducing a new abductive methodology within metaphysics that provides a way for assessing the veracity of theism and the leading fundamental theories in contemporary metaphysics. The second part of the book then focuses on demonstrating how the central concepts and theories within contemporary metaphysics—such as quantum foundations, four-dimensionalism, formal ontology, essentialism, grounding, powerful causation, mereology, free will, personhood, and the reality of suffering—are best explained by the existence of God, and thus justify theism, over that of the competing theories within contemporary metaphysics. Theism is thus the best working metaphysical theory and should take a central place in fundamental enquiries within the field of contemporary metaphysics and beyond.Analytic Theism: A Philosophical Investigation is a must-read for scholars and advanced students venturing into philosophy of religion and metaphysics. Beyond its appeal to those in analytic philosophy of religion and metaphysics, this work also resonates with those immersed in contemporary philosophy on a whole and related fields of inquiry, serving as a pivotal read for anyone keen on the intersections of philosophy, theology, and science.
Analytic Theory of Continued Fractions (Dover Books on Mathematics)
by Hubert Stanley WallOne of the most authoritative and comprehensive books on the subject of continued fractions, this monograph has been widely used by generations of mathematicians and their students. Dr. Hubert Stanley Wall presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. Prerequisites include a first course in function theory and knowledge of the elementary properties of linear transformations in the complex plane. Some background in number theory, real analysis, and complex analysis may also prove helpful. The two-part treatment begins with an exploration of convergence theory, addressing continued fractions as products of linear fractional transformations, convergence theorems, and the theory of positive definite continued fractions, as well as other topics. The second part, focusing on function theory, covers the theory of equations, matrix theory of continued fractions, bounded analytic functions, and many additional subjects.
Analytic Tools for Feynman Integrals (Springer Tracts in Modern Physics #250)
by Vladimir A. SmirnovThe goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author's previous Springer book "Evaluating Feynman Integrals" and its textbook version "Feynman Integral Calculus." Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, "Applied Asymptotic Expansions in Momenta and Masses," by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.