Download or read book Soluci n num rica de ecuaciones lineales mediante bases de Schauder written by and published by . This book was released on 2003 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: En la Memoria "Solución numérica de ecuaciones lineales mediante bases de Schauder" se presentan tres nuevos métodos numéricos para la resolución de ecuaciones funcionales lineales que se plantean como operadores lineales entre espacios de Banach de funciones. Las técnicas envueltas en la expresión de los métodos planteados son variadas siendo las bases de Schauder, de las que se hace una revisión en el capítulo primero, la herramienta fundamental en ellos. En el capítulo segundo se presenta el primero de los métodos. La idea fundamental del primer método planteado consiste en suponer que el espacio Y tiene una base de Schauder de forma que se conocen las preimágenes de todos y cada uno de sus términos mediante T. Se establece además la convergencia del método así como una cota del error que se comete y se aplica el método presentado para resolver un problema de contorno concreto. En el capítulo tercero se aborda el segundo de los métodos propuestos para resolver (P). Es un método basado en mínimos cuadrados. Se supone que el espacio X tiene una base de Schauder y que Y está dotado de un producto escalar. Las proyecciones ortogonales de Y0 sobre ciertos subespacios asociados a las imágenes de los vectores de la base de Schauder de X proporcionan una aproximación de los coeficientes de X0 en la base. En la última sección del capítulo se aplica el método expuesto para un ejemplo numérico concreto. En el capítulo cuarto se presenta un método numérico que generaliza el desarrollo en el capítulo anterior, en el sentido de que el espacio Y del problema (P) no tiene que ser necesariamente Hilbert. El papel de la sucesión de proyecciones ortogonales del capítulo anterior es desempeñado ahora por cierta sucesión de mejores aproximaciones. Como aplicación se hace un estudio numérico de la ecuación de Volterra de una variable en un espacio Lp. El capítulo quinto se dedica a comparar los métodos propuestos con los métodos de Galerkin y de colocación. Como apéndice, en el capítulo sexto, se incluye el código fuente empleado para implementar los métodos descritos.

Download or read book Symbolic Data Analysis written by Lynne Billard and published by John Wiley & Sons. This book was released on 2012-05-14 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of computers, very large datasets have become routine. Standard statistical methods don’t have the power or flexibility to analyse these efficiently, and extract the required knowledge. An alternative approach is to summarize a large dataset in such a way that the resulting summary dataset is of a manageable size and yet retains as much of the knowledge in the original dataset as possible. One consequence of this is that the data may no longer be formatted as single values, but be represented by lists, intervals, distributions, etc. The summarized data have their own internal structure, which must be taken into account in any analysis. This text presents a unified account of symbolic data, how they arise, and how they are structured. The reader is introduced to symbolic analytic methods described in the consistent statistical framework required to carry out such a summary and subsequent analysis. Presents a detailed overview of the methods and applications of symbolic data analysis. Includes numerous real examples, taken from a variety of application areas, ranging from health and social sciences, to economics and computing. Features exercises at the end of each chapter, enabling the reader to develop their understanding of the theory. Provides a supplementary website featuring links to download the SODAS software developed exclusively for symbolic data analysis, data sets, and further material. Primarily aimed at statisticians and data analysts, Symbolic Data Analysis is also ideal for scientists working on problems involving large volumes of data from a range of disciplines, including computer science, health and the social sciences. There is also much of use to graduate students of statistical data analysis courses.

Download or read book The Equilibrium Manifold written by Yves Balasko and published by MIT Press. This book was released on 2009-04-17 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading scholar in the field presents post-1970s developments in the theory of general equilibrium, unified by the concept of equilibrium manifold. In The Equilibrium Manifold, noted economic scholar and major contributor to the theory of general equilibrium Yves Balasko argues that, contrary to what many textbooks want readers to believe, the study of the general equilibrium model did not end with the existence and welfare theorems of the 1950s. These developments, which characterize the modern phase of the theory of general equilibrium, led to what Balasko calls the postmodern phase, marked by the reintroduction of differentiability assumptions and the application of the methods of differential topology to the study of the equilibrium equation. Balasko's rigorous study demonstrates the central role played by the equilibrium manifold in understanding the properties of the Arrow-Debreu model and its extensions. Balasko argues that the tools of differential topology articulated around the concept of equilibrium manifold offer powerful methods for studying economically important issues, from existence and uniqueness to business cycles and economic fluctuations. After an examination of the theory of general equilibrium's evolution in the hundred years between Walras and Arrow-Debreu, Balasko discusses the properties of the equilibrium manifold and the natural projection. He highlights the important role of the set of no-trade equilibria, the structure of which is applied to the global structure of the equilibrium manifold. He also develops a geometric approach to the study of the equilibrium manifold. Applications include stability issues of adjustment dynamics for out-of-equilibrium prices, the introduction of price-dependent preferences, and aspects of time and uncertainty in extensions of the general equilibrium model that account for various forms of market frictions and imperfections. Special effort has been made at reducing the mathematical technicalities without compromising rigor. The Equilibrium Manifold makes clear the ways in which the postmodern” developments of the Arrow-Debreu model improve our understanding of modern market economies.

Download or read book Shielding Techniques for Radiation Oncology Facilities written by Patton H. McGinley and published by Medical Physics Publishing Corporation. This book was released on 2002-01-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a senior or graduate course in medical or health physics. Students are assumed to be familiar with the radiation- producing devices used in radiation oncology. The second volume corrects some errors detected in the 1998 first, and adds discussions of intensity modulated radiation therapy, CT room design, the design of direct shielded doors, and other topics. Annotation copyrighted by Book News Inc., Portland, OR.

Download or read book Communication by Design written by Robin Mansell and published by Oxford University Press. This book was released on 1996 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for researchers, academics, analysts, and practitioners with an interest in the development of information and communication technologies.

Download or read book After Method written by John Law and published by Routledge. This book was released on 2004-08-12 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Law argues that methods don't just describe social realities but are also involved in creating them. The implications of this argument are highly significant. If this is the case, methods are always political, and it raises the question of what kinds of social realities we want to create. Most current methods look for clarity and precision. It is usually said that only poor research produces messy findings, and the idea that things in the world might be fluid, elusive, or multiple is unthinkable. Law's startling argument is that this is wrong and it is time for a new approach. Many realities, he says, are vague and ephemeral. If methods want to know and help to shape the world, then they need to reinvent themselves and their politics to deal with mess. That is the challenge. Nothing less will do.