Download or read book Theory of Capacities written by Gustave Choquet and published by . This book was released on 1954 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analytic Capacity the Cauchy Transform and Non homogeneous Calder n Zygmund Theory written by Xavier Tolsa and published by Springer Science & Business Media. This book was released on 2013-12-16 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 1995–2005. The Cauchy transform plays a fundamental role in this area and is accordingly one of the main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Calderón-Zygmund theory, the development of which has been largely motivated by the problems arising in connection with analytic capacity. The Painlevé problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metric and geometric terms. Analytic capacity is a key tool in the study of this problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover, because of the applications to the theory of uniform rational approximation, he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkin’s conjecture and of the semiadditivity of analytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, such as the relationship between rectifiability and the existence of principal values for the Cauchy transforms and other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuable resource for researchers.

Download or read book Condenser Capacities and Symmetrization in Geometric Function Theory written by Vladimir N. Dubinin and published by Springer. This book was released on 2014-08-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original – the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others) is established, followed by various types of symmetrization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problems are solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven. This book will be a valuable source for current and future researchers in various branches of complex analysis and potential theory.

Download or read book Capacity Theory on Algebraic Curves written by Robert S. Rumely and published by Springer. This book was released on 2006-11-14 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a generalization of a theorem of Fekete and Szegö which gives a sharp existence/finiteness criterion for algebraic points whose conjugates lie near a specified set on a curve. The book brings out a deep connection between the classical Green's functions of analysis and Néron's local height pairings; it also points to an interpretation of capacity as a kind of intersection index in the framework of Arakelov Theory. It is a research monograph and will primarily be of interest to number theorists and algebraic geometers; because of applications of the theory, it may also be of interest to logicians. The theory presented generalizes one due to David Cantor for the projective line. As with most adelic theories, it has a local and a global part. Let /K be a smooth, complete curve over a global field; let Kv denote the algebraic closure of any completion of K. The book first develops capacity theory over local fields, defining analogues of the classical logarithmic capacity and Green's functions for sets in (Kv). It then develops a global theory, defining the capacity of a galois-stable set in (Kv) relative to an effictive global algebraic divisor. The main technical result is the construction of global algebraic functions whose logarithms closely approximate Green's functions at all places of K. These functions are used in proving the generalized Fekete-Szegö theorem; because of their mapping properties, they may be expected to have other applications as well.

Download or read book Capacity building written by Deborah Eade and published by Oxfam. This book was released on 1997 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers specific and practical ways in which NGO's can contribute to enabling people to build on the capacities they already possess. It reviews the types of social organisation with which NGO's might consider working and the provision of training in a variety of relevant skills and activities.

Download or read book Set Functions Games and Capacities in Decision Making written by Michel Grabisch and published by Springer. This book was released on 2016-06-15 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

Download or read book The Capacity Contract written by Stacy Clifford Simplican and published by U of Minnesota Press. This book was released on 2015-03-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first sustained examination of disability through the lens of political theory, The Capacity Contract shows how the exclusion of disabled people has shaped democratic politics. Stacy Clifford Simplican demonstrates how disability buttresses systems of domination based on race, sex, and gender. She exposes how democratic theory and politics have long blocked from political citizenship anyone whose cognitive capacity falls below a threshold level⎯marginalization with real-world repercussions on the implementation of disability rights today. Simplican’s compelling ethnographic analysis of the self-advocacy movement describes the obstacles it faces. From the outside, the movement must confront stiff budget cuts and dwindling memberships; internally, self-advocates must find ways to demand political standing without reinforcing entrenched stigma against people with profound cognitive disabilities. And yet Simplican’s investigation also offers democratic theorists and disability activists a more emancipatory vision of democracy as it relates to disability⎯one that focuses on enabling people to engage in public and spontaneous action to disrupt exclusion and stigma. Taking seriously democratic promises of equality and inclusion, The Capacity Contract rejects conceptions of political citizenship that privilege cognitive capacity and, instead, centers such citizenship on action that is accessible to all people.

Download or read book Function Spaces and Potential Theory written by David R. Adams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Download or read book Policy Capacity and Governance written by Xun Wu and published by Springer. This book was released on 2017-09-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides unique insights into the role of policy capacity in policymaking and policy change, as it is being uncovered at the research frontier in contemporary policy studies. The book is structured into a series of sections on policy capacity in theory and practice, each focusing on a specific aspect of policy capacity and its influence on policy formulation, decision-making, implementation and evaluation. In addition to making a significant contribution to the body of literature on the theoretical approaches to researching the role of capacity in policymaking, it also provides practical examples of the application of these approaches through a variety of national and sectoral case studies. Including contributions from authors working in a wide variety of disciplines, the book demonstrates, across the various topics investigated, many commonalities and consistencies in relation to the study of policy capacity and policy-making. This work has interdisciplinary appeal and will engage scholars in fields ranging from geography to communications, health, social work and political science, amongst others with an interest in public policy.

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Download or read book Beliefs Interactions and Preferences written by Mark J. Machina and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beliefs, Interactions and Preferences in Decision Making mixes a selection of papers, presented at the Eighth Foundations and Applications of Utility and Risk Theory (`FUR VIII') conference in Mons, Belgium, together with a few solicited papers from well-known authors in the field. This book addresses some of the questions that have recently emerged in the research on decision-making and risk theory. In particular, authors have modeled more and more as interactions between the individual and the environment or between different individuals the emergence of beliefs as well as the specific type of information treatment traditionally called `rationality'. This book analyzes several cases of such an interaction and derives consequences for the future of decision theory and risk theory. In the last ten years, modeling beliefs has become a specific sub-field of decision making, particularly with respect to low probability events. Rational decision making has also been generalized in order to encompass, in new ways and in more general situations than it used to be fitted to, multiple dimensions in consequences. This book deals with some of the most conspicuous of these advances. It also addresses the difficult question to incorporate several of these recent advances simultaneously into one single decision model. And it offers perspectives about the future trends of modeling such complex decision questions. The volume is organized in three main blocks: The first block is the more `traditional' one. It deals with new extensions of the existing theory, as is always demanded by scientists in the field. A second block handles specific elements in the development of interactions between individuals and their environment, as defined in the most general sense. The last block confronts real-world problems in both financial and non-financial markets and decisions, and tries to show what kind of contributions can be brought to them by the type of research reported on here.

Download or read book Functions selection and mechanisms written by Philippe Huneman and published by Springer Science & Business Media. This book was released on 2013-02-20 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume handles in various perspectives the concept of function and the nature of functional explanations, topics much discussed since two major and conflicting accounts have been raised by Larry Wright and Robert Cummins’ papers in the 1970s. Here, both Wright’s ‘etiological theory of functions’ and Cummins’ ‘systemic’ conception of functions are refined and elaborated in the light of current scientific practice, with papers showing how the ‘etiological’ theory faces several objections and may in reply be revisited, while its counterpart became ever more sophisticated, as researchers discovered fresh applications for it. Relying on a firm knowledge of the original positions and debates, this volume presents cutting-edge research evincing the complexities that today pertain in function theory in various sciences. Alongside original papers from authors central to the controversy, work by emerging researchers taking novel perspectives will add to the potential avenues to be followed in the future. Not only does the book adopt no a priori assumptions about the scope of functional explanations, it also incorporates material from several very different scientific domains, e.g. neurosciences, ecology, or technology. In general, functions are implemented in mechanisms; and functional explanations in biology have often an essential relation with natural selection. These two basic claims set the stage for this book’s coverage of investigations concerning both ‘functional’ explanations, and the ‘metaphysics’ of functions. It casts new light on these claims, by testing them through their confrontation with scientific developments in biology, psychology, and recent developments concerning the metaphysics of realization. Rather than debating a single theory of functions, this book presents the richness of philosophical issues raised by functional discourse throughout the various sciences.​

Download or read book Theory U written by C. Otto Scharmer and published by Berrett-Koehler Publishers. This book was released on 2009-01-01 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows how leaders can access the deepest source of inspiration and vision • Includes dozens of tested exercises, practices, and real-world examples We live in a time of massive institutional failure, one that requires a new consciousness and a new collective leadership capacity. In this groundbreaking book, Otto Scharmer invites us to see the world in new ways and in so doing discover a revolutionary approach to leadership. What we pay attention to and how we pay attention is key to what we create. What prevents us from attending to situations more effectively is that we aren’t fully aware of and in touch with the inner place from which attention and intention originate. This is what Scharmer calls our blind spot. By moving through Scharmer’s U process, we consciously access the blind spot and learn to connect to our authentic Self—the deepest source of knowledge and inspiration—in the realm of “presencing,” a term coined by Scharmer that combines the concepts of presence and sensing. Based on ten years of research and action learning and interviews with over 150 practitioners and thought leaders, Theory U offers a rich diversity of compelling stories and examples and includes dozens of exercises and practices that allow leaders, and entire organizations, to shift awareness, connect with the best future possibility, and gain the ability to realize it.

Download or read book Bottlenecks written by Joseph Fishkin and published by Oxford University Press, USA. This book was released on 2014 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bottlenecks introduces a powerful new way of understanding equal opportunity. Rather than literal equalization, Joseph Fishkin argues that Americans ought to aim to broaden the range of opportunities open to people, at every stage in life, to pursue different paths. This approach has significant implications for public policy and antidiscrimination law.

Download or read book Modeling Decisions for Artificial Intelligence written by Vicenç Torra and published by Springer Science & Business Media. This book was released on 2005-07-14 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2005, held in Tsukuba, Japan in July 2005. The 40 revised full papers presented together with an introduction by the editors and 4 invited lectures were thoroughly reviewed and selected from 118 submissions. The papers are devoted to theory and tools for modeling decisions, as well as applications that encompass decision making processes and information fusion techniques. Special focus is given to applications related with risk, security and safety.

Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Download or read book Building State Capability written by Matt Andrews and published by Oxford University Press. This book was released on 2017 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Governments play a major role in the development process, and constantly introduce reforms and policies to achieve developmental objectives. Many of these interventions have limited impact, however; schools get built but children don't learn, IT systems are introduced but not used, plans are written but not implemented. These achievement deficiencies reveal gaps in capabilities, and weaknesses in the process of building state capability. This book addresses these weaknesses and gaps. It starts by providing evidence of the capability shortfalls that currently exist in many countries, showing that many governments lack basic capacities even after decades of reforms and capacity building efforts. The book then analyses this evidence, identifying capability traps that hold many governments back - particularly related to isomorphic mimicry (where governments copy best practice solutions from other countries that make them look more capable even if they are not more capable) and premature load bearing (where governments adopt new mechanisms that they cannot actually make work, given weak extant capacities). The book then describes a process that governments can use to escape these capability traps. Called PDIA (problem driven iterative adaptation), this process empowers people working in governments to find and fit solutions to the problems they face. The discussion about this process is structured in a practical manner so that readers can actually apply tools and ideas to the capability challenges they face in their own contexts. These applications will help readers devise policies and reforms that have more impact than those of the past.