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Problem Spaces
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Download or read book Problem Spaces written by Celia Lury and published by John Wiley & Sons. This book was released on 2021-01-20 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this innovative book, Celia Lury argues that the time has come for us to explore the world not only with new methods, but with a new approach to methodology itself. Fundamental changes are taking place in how we produce knowledge, how we communicate it and, indeed, what we consider to be knowledge. These changes demand innovative and creative responses to research questions. Lury's rethinking of the nature of social inquiry starts by reconceptualizing the 'problem space'. Problems are not static or a 'given'; rather, they are created and continually recomposed as part of the methodological process itself. Following the line of thought that methods are practices that articulate as much as capture a social problem, Lury further develops the notion of compositional methodology to think through its implications. With remarkable fluency, the book draws into conversation a range of hot-button issues, both longstanding and novel, from observation, reflexivity, recursive measurement and feminist methodologies, to participation, context, datafication and platformization. Always with an eye to the methodological potential of new trends, the book provides a strong challenge to much received wisdom and argues that a combination of techniques can contribute to better understanding of the problem spaces we all inhabit.
Download or read book Problem Spaces written by Celia Lury and published by John Wiley & Sons. This book was released on 2020-11-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this innovative book, Celia Lury argues that the time has come for us to explore the world not only with new methods, but with a new approach to methodology itself. Fundamental changes are taking place in how we produce knowledge, how we communicate it and, indeed, what we consider to be knowledge. These changes demand innovative and creative responses to research questions. Lury's rethinking of the nature of social inquiry starts by reconceptualizing the 'problem space'. Problems are not static or a 'given'; rather, they are created and continually recomposed as part of the methodological process itself. Following the line of thought that methods are practices that articulate as much as capture a social problem, Lury further develops the notion of compositional methodology to think through its implications. With remarkable fluency, the book draws into conversation a range of hot-button issues, both longstanding and novel, from observation, reflexivity, recursive measurement and feminist methodologies, to participation, context, datafication and platformization. Always with an eye to the methodological potential of new trends, the book provides a strong challenge to much received wisdom and argues that a combination of techniques can contribute to better understanding of the problem spaces we all inhabit.
Book Synopsis Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure by : Pascal Auscher
Download or read book Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure written by Pascal Auscher and published by Springer Nature. This book was released on 2023-08-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial results for existence in smaller ranges of exponents and for a subclass of such systems had been established. The presented uniqueness results are completely new, and the authors also elucidate optimal ranges for problems with fractional regularity data. The first part of the monograph, which can be read independently, provides optimal ranges of exponents for functional calculus and adapted Hardy spaces for the associated boundary operator. Methods use and improve, with new results, all the machinery developed over the last two decades to study such problems: the Kato square root estimates and Riesz transforms, Hardy spaces associated to operators, off-diagonal estimates, non-tangential estimates and square functions, and abstract layer potentials to replace fundamental solutions in the absence of local regularity of solutions.
Book Synopsis Elliptic Boundary Value Problems in the Spaces of Distributions by : Y. Roitberg
Download or read book Elliptic Boundary Value Problems in the Spaces of Distributions written by Y. Roitberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume endeavours to summarise all available data on the theorems on isomorphisms and their ever increasing number of possible applications. It deals with the theory of solvability in generalised functions of general boundary-value problems for elliptic equations. In the early sixties, Lions and Magenes, and Berezansky, Krein and Roitberg established the theorems on complete collection of isomorphisms. Further progress of the theory was connected with proving the theorem on complete collection of isomorphisms for new classes of problems, and hence with the development of new methods to prove these theorems. The theorems on isomorphisms were first established for elliptic equations with normal boundary conditions. However, after the Noetherian property of elliptic problems was proved without assuming the normality of the boundary expressions, this became the natural way to consider the problems of establishing the theorems on isomorphisms for general elliptic problems. The present author's method of solving this problem enabled proof of the theorem on complete collection of isomorphisms for the operators generated by elliptic boundary-value problems for general systems of equations. Audience: This monograph will be of interest to mathematicians whose work involves partial differential equations, functional analysis, operator theory and the mathematics of mechanics.
Book Synopsis Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature by : T.G. Vozmischeva
Download or read book Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature written by T.G. Vozmischeva and published by Springer Science & Business Media. This book was released on 2003-10-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.
Book Synopsis Innovation and Scaling for Impact by : Christian Seelos
Download or read book Innovation and Scaling for Impact written by Christian Seelos and published by Stanford University Press. This book was released on 2017-01-04 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovation and Scaling for Impact forces us to reassess how social sector organizations create value. Drawing on a decade of research, Christian Seelos and Johanna Mair transcend widely held misconceptions, getting to the core of what a sound impact strategy entails in the nonprofit world. They reveal an overlooked nexus between investments that might not pan out (innovation) and expansion based on existing strengths (scaling). In the process, it becomes clear that managing this tension is a difficult balancing act that fundamentally defines an organization and its impact. The authors examine innovation pathologies that can derail organizations by thwarting their efforts to juggle these imperatives. Then, through four rich case studies, they detail innovation archetypes that effectively sidestep these pathologies and blend innovation with scaling. Readers will come away with conceptual models to drive progress in the social sector and tools for defining the future of their organizations.
Download or read book Small Spaces written by Katherine Arden and published by Penguin. This book was released on 2018-09-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York Times bestselling adult author of The Bear and the Nightingale makes her middle grade debut with a creepy, spellbinding ghost story destined to become a classic. After suffering a tragic loss, eleven-year-old Ollie only finds solace in books. So when she happens upon a crazed woman at the river threatening to throw a book into the water, Ollie doesn't think—she just acts, stealing the book and running away. As she begins to read the slender volume, Ollie discovers a chilling story about a girl named Beth, the two brothers who both loved her, and a peculiar deal made with "the smiling man," a sinister specter who grants your most tightly held wish, but only for the ultimate price. Ollie is captivated by the tale until her school trip the next day to Smoke Hollow, a local farm with a haunting history all its own. There she stumbles upon the graves of the very people she's been reading about. Could it be the story about the smiling man is true? Ollie doesn't have too long to think about the answer to that. On the way home, the school bus breaks down, sending their teacher back to the farm for help. But the strange bus driver has some advice for the kids left behind in his care: "Best get moving. At nightfall they'll come for the rest of you." Nightfall is, indeed, fast descending when Ollie's previously broken digital wristwatch, a keepsake reminder of better times, begins a startling countdown and delivers a terrifying message: RUN. Only Ollie and two of her classmates heed the bus driver's warning. As the trio head out into the woods—bordered by a field of scarecrows that seem to be watching them—the bus driver has just one final piece of advice for Ollie and her friends: "Avoid large places. Keep to small." And with that, a deliciously creepy and hair-raising adventure begins.
Book Synopsis A Cp-Theory Problem Book by : Vladimir V. Tkachuk
Download or read book A Cp-Theory Problem Book written by Vladimir V. Tkachuk and published by Springer Science & Business Media. This book was released on 2011-03-23 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.
Book Synopsis Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces by : Alexey V. Shchepetilov
Download or read book Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces written by Alexey V. Shchepetilov and published by Springer. This book was released on 2006-09-04 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.
Book Synopsis A Framework for Planning with Incrementally Created Graphs in Attributed Problem Spaces by : S.B. Balakirsky
Download or read book A Framework for Planning with Incrementally Created Graphs in Attributed Problem Spaces written by S.B. Balakirsky and published by IOS Press. This book was released on 2003 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this publication a framework for parallel planning agents is developed and applied to planning problems ranging from domain independent planning to planning for autonomous vehicle systems. The framework contains both logic-based and cost-based planning approaches.
Book Synopsis Transfer Learning through Embedding Spaces by : Mohammad Rostami
Download or read book Transfer Learning through Embedding Spaces written by Mohammad Rostami and published by CRC Press. This book was released on 2021-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in artificial intelligence (AI) has revolutionized our everyday life. Many AI algorithms have reached human-level performance and AI agents are replacing humans in most professions. It is predicted that this trend will continue and 30% of work activities in 60% of current occupations will be automated. This success, however, is conditioned on availability of huge annotated datasets to training AI models. Data annotation is a time-consuming and expensive task which still is being performed by human workers. Learning efficiently from less data is a next step for making AI more similar to natural intelligence. Transfer learning has been suggested a remedy to relax the need for data annotation. The core idea in transfer learning is to transfer knowledge across similar tasks and use similarities and previously learned knowledge to learn more efficiently. In this book, we provide a brief background on transfer learning and then focus on the idea of transferring knowledge through intermediate embedding spaces. The idea is to couple and relate different learning through embedding spaces that encode task-level relations and similarities. We cover various machine learning scenarios and demonstrate that this idea can be used to overcome challenges of zero-shot learning, few-shot learning, domain adaptation, continual learning, lifelong learning, and collaborative learning.
Book Synopsis Continual Means and Boundary Value Problems in Function Spaces by : E. M. Polishchuk
Download or read book Continual Means and Boundary Value Problems in Function Spaces written by E. M. Polishchuk and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-01-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spaces of Constant Curvature by : Joseph Albert Wolf
Download or read book Spaces of Constant Curvature written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2011 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds and their curvatures, of the representation theory of finite groups, and of indications of recent progress in discrete subgroups of Lie groups. Part I is a brief introduction to differentiable manifolds, covering spaces, and riemannian and pseudo-riemannian geometry. It also contains a certain amount of introductory material on symmetry groups and space forms, indicating the direction of the later chapters. Part II is an updated treatment of euclidean space form. Part III is Wolf's classic solution to the Clifford-Klein Spherical Space Form Problem. It starts with an exposition of the representation theory of finite groups. Part IV introduces riemannian symmetric spaces and extends considerations of spherical space forms to space forms of riemannian symmetric spaces. Finally, Part V examines space form problems on pseudo-riemannian symmetric spaces. At the end of Chapter 12 there is a new appendix describing some of the recent work on discrete subgroups of Lie groups with application to space forms of pseudo-riemannian symmetric spaces. Additional references have been added to this sixth edition as well.
Book Synopsis Knowledge Spaces by : Dietrich Albert
Download or read book Knowledge Spaces written by Dietrich Albert and published by Psychology Press. This book was released on 1999-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, researchers employing Falmagne's theory of knowledge spaces describe its relevance and utility for a wide variety of problems in cognition, ranging from chess to swimming to inductive reasoning. For cognitive scientists of all sorts.
Book Synopsis Lebesgue and Sobolev Spaces with Variable Exponents by : Lars Diening
Download or read book Lebesgue and Sobolev Spaces with Variable Exponents written by Lars Diening and published by Springer. This book was released on 2011-03-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.
Book Synopsis Function Spaces by : Krzysztof Jarosz
Download or read book Function Spaces written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2007 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of contributions by the participants of the Fifth Conference on Function Spaces, held at Southern Illinois University in May of 2006. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $L{p $-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects. The goal of the conference was to bring together mathematicians interested in various problems related to function spaces and to facilitate the exchange of ideas between people working on similar problems. Hence, the majority of papers in this book are accessible to non-experts. Some articles contain expositions of known results and discuss open problems, others contain new results.
Book Synopsis Smooth Analysis in Banach Spaces by : Petr Hájek
Download or read book Smooth Analysis in Banach Spaces written by Petr Hájek and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-29 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.