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"These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7–10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 144 participants. Previous conferences in the series were held in Austin, Texas (1973, 1976, 1980, 1992), College Station, Texas (1983, 1986, 1989, 1995), Nashville, Tennessee (1998), St. Louis, Missouri (2001), Gatlinburg, Tennessee (2004), and San Antonio, Texas (2007).Along with the many plenary speakers, the contributors to this proceedings provided inspiring talks and set a high standard of exposition in their descriptions of new directions for research. Many relevant topics in approximation theory are included in this book, such as abstract approximation, approximation with constraints, interpolation and smoothing, wavelets and frames, shearlets, orthogonal polynomials, univariate and multivariate splines, and complex approximation."

"Contains the proceedings that were prepared in connection with the international conference Approximation Theory XIII, which was held March 7-10, 2010 in San Antonio, Texas. This book includes many relevant topics in approximation theory, such as abstract approximation, approximation with constraints, and interpolation and smoothing."

"Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results."

"The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such problems have yet to be written. This monograph is written for a broad audience of computational mathematicians and statisticians concerned with the development of algorithms or the derivation of approximations from linear projections, of which the interpolating operators are an important example. As an aid to both researchers and students, a bibliography of more than 200 titles is included."

"Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis."

"The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field. In contrast to existing texts on structural optimization, Introduction to Shape Optimization: Theory, Approximation, and Computation treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory (existence analysis, discretizations, and convergence analysis for discretized problems) through computational aspects (sensitivity analysis, numerical minimization methods) to industrial applications. Some of the applications included are contact stress minimization for elasto-plastic bodies, multidisciplinary optimization of an airfoil, and shape optimization of a dividing tube. By presenting sizing and shape optimization in an abstract way, the authors are able to use a unified approach in the mathematical analysis for a large class of optimization problems in various fields of physics."

"Tesis ini merupakan penelitian yang mencari mitos dan fungsi mitologis dalam teori politik global Michael Hardt dan Negri. Penelitian ini menggunakan metode refleksi kritis dan fenomenologi-hermenutika untuk menganalisis dua variabel, yaitu Kekaisaran dan multitude. Tujuan dari penelitan ini adalah memperlihatkan ada mitos yang bekerja di dalam teori politik global yang mematerialkan sejarah. Di sini, Kekaisaran dan multitude dikonstitusikan oleh biopolitik dan jaringan teknologi informasi yang memungkinkan imanensi dan perlawanan sosial. Mitos teori politik global Kekaisaran dan Multitude adalah narasi dan epos klasiktentang subjek yang menindas dan subjek yang tertindas dalam menjelaskanpolitik kontemporer.

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This thesis is a study to find myths and mythological function in a global political

theory o f Michael Hardt and Antonio Negri. This study uses the methods of

critical reflection and phenomenology-hermeneutics to analyze two variables,

namely Empire and multitude. The purpose of this research was to show there is a

myth that works in global political theory. Here, the Empire and the multitude

constituted by biopolitics and information technology network that allows

immanence and social struggle. The myth of global political theory of Empire and

Multitude is a classic epic narrative about the oppressing subject and the

oppressed subjects in explaining contemporary politics"