Download or read book Notes on the Ellipsoidal Function written by Chang-Hong Liang and published by Springer. This book was released on 2016-11-24 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the ellipsoidal function, which serves as an evolution and extension of the circular function (trigonometric function) and elliptic function. It presents an in-depth discussion of the ellipsoidal function (algebra) theory and the conformal mapping (geometry) theory of the ellipsoid function, demonstrating the outstanding performance of the ellipsoid function response filter. Applications of the ellipsoidal function include the capacitance of ellipsoidal conductors and the surface area of ellipsoids, which in turn correspond to ellipsoidal integrals of the first kind and the second kind, respectively. The book offers a valuable reference guide for undergraduates, graduate students and researchers in the related fields.
Download or read book Topics in Relaxation and Ellipsoidal Methods written by M. Akgül and published by Pitman Advanced Publishing Program. This book was released on 1984 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minimum volume Ellipsoids written by Michael J. Todd and published by SIAM. This book was released on 2016-07-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first on these topics, addresses the problem of finding an ellipsoid to represent a large set of points in high-dimensional space, which has applications in computational geometry, data representations, and optimal design in statistics. The book covers the formulation of this and related problems, theoretical properties of their optimal solutions, and algorithms for their solution. Due to the high dimensionality of these problems, first-order methods that require minimal computational work at each iteration are attractive. While algorithms of this kind have been discovered and rediscovered over the past fifty years, their computational complexities and convergence rates have only recently been investigated. The optimization problems in the book have the entries of a symmetric matrix as their variables, so the author's treatment also gives an introduction to recent work in matrix optimization. This book provides historical perspective on the problems studied by optimizers, statisticians, and geometric functional analysts; demonstrates the huge computational savings possible by exploiting simple updates for the determinant and the inverse after a rank-one update, and highlights the difficulties in algorithms when related problems are studied that do not allow simple updates at each iteration; and gives rigorous analyses of the proposed algorithms, MATLAB codes, and computational results.
Download or read book High frequency Approximations to Ellipsoidal Wave Functions written by F. M. Arscott and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ellipsoidal wave equation is the ordinary differential equation which arises when the reduced wave equation 2V+ 2V = 0 is separated in ellipsoidal coordinates; doubly-periodic solutions of this equation are known as ellipsoidal wave functions. Approximations to the latter, in the form of asymptotic series valid for 2 large positive or large negative, were given but the analysis was incomplete in that the values of two integral parameters were left undetermined. This gap is filled, the complete results re-calculated and the connections established between the asymptotic series and the standard solutions in various parts of the plane. As a by-product, some unpublished transformation formulae are given, linking ellipsoidal wave functions with negative 2 to those with positive 2. (Author).
Download or read book NASA Technical Note written by and published by . This book was released on 1973 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Potential Functions for Triaxial Ellipsoids written by Allen Vincent Hershey and published by . This book was released on 1970 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general analysis of ellipsoidal coordinate systems is used as a foundation for the solution of a class of problems which involve an ellipsoidal boundary in an infinite medium. Formulae are given for the calculation of potentials and gradients in the vicinity of the ellipsoidal boundary. The formulae are applied to stress-velocity fields in hydrodynamics and to stress-strain fields in elasticity. Utilization of the formulae is faciliated by a system of programming in FORTRAN IV. (Author).
Download or read book Ellipsoidal Harmonics written by George Dassios and published by Cambridge University Press. This book was released on 2012-07-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, originated in the nineteenth century, could only be seriously applied with the kind of computational power available in recent years. This, therefore, is the first book devoted to ellipsoidal harmonics. Topics are drawn from geometry, physics, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal bi-harmonic functions, the theory of images in ellipsoidal geometry and vector surface ellipsoidal harmonics, which exhibit an interesting analytical structure. Extended appendices provide everything one needs to solve formally boundary value problems. End-of-chapter problems complement the theory and test the reader's understanding. The book serves as a comprehensive reference for applied mathematicians, physicists, engineers and for anyone who needs to know the current state of the art in this fascinating subject.
Download or read book Linear Controller Design written by Stephen P. Boyd and published by . This book was released on 1991 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Aspects of Functional Analysis written by Vitali D. Milman and published by Springer. This book was released on 2004-08-30 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Israeli GAFA seminar (on Geometric Aspect of Functional Analysis) during the years 2002-2003 follows the long tradition of the previous volumes. It reflects the general trends of the theory. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis. In addition the volume contains papers on related aspects of Probability, classical Convexity and also Partial Differential Equations and Banach Algebras. There are also two expository papers on topics which proved to be very much related to the main topic of the seminar. One is Statistical Learning Theory and the other is Models of Statistical Physics. All the papers of this collection are original research papers.
Download or read book Radar Systems Analysis and Design Using MATLAB written by Bassem R. Mahafza and published by CRC Press. This book was released on 2016-04-19 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's graduate-level courses, the first edition of this book filled the need for a comprehensive, self-contained, and hands-on treatment of radar systems analysis and design. It quickly became a bestseller and was widely adopted by many professors. The second edition built on this successful format by rearranging and updating
Download or read book Functional Analysis and Geometry Selim Grigorievich Krein Centennial written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 2019-07-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.
Download or read book Geometric Aspects of Functional Analysis written by Joram Lindenstrauss and published by Springer. This book was released on 2006-11-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finite-dimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry.
Download or read book Technical Note written by and published by . This book was released on 1954 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Aspects of Functional Analysis written by Bo'az Klartag and published by Springer. This book was released on 2012-07-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.
Download or read book Whys and Hows in Uncertainty Modelling written by Isaac Elishakoff and published by Springer. This book was released on 2014-05-04 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, as a single package, three semingly contradictory and often competitive approaches to deal with ever present uncertainty in science and engineering. The book describes, as a unique view, probabilistic, fuzzy sets based and antioptimization based approaches, in order to remedy the present "tower ob Babel” situation, in which researchers in competing fields do not communicate. Integrative approach will attract scientists and engineers alike and provide a strong impetus towards integrative, hybrid approaches.
Download or read book 3D Modeling and Animation Synthesis and Analysis Techniques for the Human Body written by Sarris, Nikos and published by IGI Global. This book was released on 2003-07-01 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3D Modeling and Animation: Synthesis and Analysis Techniques for the Human Body covers the areas of modeling and animating 3D synthetic human models at a level that is useful to students, researchers, software developers and content generators. The reader will be presented with the latest, research-level, techniques for the analysis and synthesis of still and moving human bodies, with particular emphasis in facial and gesture characteristics.
