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Author : Harold S. Shapiro
Publisher : Unknown
Page : 152 pages
File Size : 53,6 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39015015601647
Author : Harold S. Shapiro (mathématicien).)
Publisher : Unknown
Page : 246 pages
File Size : 54,8 Mb
Release : 1967
Category : Approximation theory
ISBN : UOM:39015017393508
Author : Harold S. Shapiro
Publisher : Unknown
Page : 156 pages
File Size : 43,6 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39015015601571
Author : Charles Fefferman,Arie Israel
Publisher : American Mathematical Soc.
Page : 160 pages
File Size : 45,9 Mb
Release : 2020-10-27
Category : Education
ISBN : 9781470461300
This book is an introductory text that charts the recent developments in the area of Whitney-type extension problems and the mathematical aspects of interpolation of data. It provides a detailed tour of a new and active area of mathematical research. In each section, the authors focus on a different key insight in the theory. The book motivates the more technical aspects of the theory through a set of illustrative examples. The results include the solution of Whitney's problem, an efficient algorithm for a finite version, and analogues for Hölder and Sobolev spaces in place of Cm. The target audience consists of graduate students and junior faculty in mathematics and computer science who are familiar with point set topology, as well as measure and integration theory. The book is based on lectures presented at the CBMS regional workshop held at the University of Texas at Austin in the summer of 2019.
Author : Henry Leslie Garabedian
Publisher : Unknown
Page : 238 pages
File Size : 54,7 Mb
Release : 1965
Category : Mathematics
ISBN : MSU:31293002059909
Author : Gregory Morris Nielson
Publisher : Unknown
Page : 192 pages
File Size : 47,6 Mb
Release : 1970
Category : Approximation theory
ISBN : UCSD:31822011167566
Author : John F. Monahan
Publisher : Cambridge University Press
Page : 465 pages
File Size : 51,7 Mb
Release : 2011-04-18
Category : Computers
ISBN : 9781139498005
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.
Author : J.G. Llavona
Publisher : Elsevier
Page : 240 pages
File Size : 47,7 Mb
Release : 1986-11-01
Category : Mathematics
ISBN : 0080872417
This self-contained book brings together the important results of a rapidly growing area. As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.
Author : Masao Fukushima,Liqun Qi
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 44,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475763881
The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Author : Anonim
Publisher : Springer Science & Business Media
Page : 732 pages
File Size : 48,9 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 9780387981451
Computational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of estimators and test statistics. This book describes computationally intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDF decomposition, that arise in a wide range of methods.
Author : James E. Gentle
Publisher : Springer Science & Business Media
Page : 732 pages
File Size : 43,8 Mb
Release : 2009-07-28
Category : Mathematics
ISBN : 9780387981444
Computational inference is based on an approach to statistical methods that uses modern computational power to simulate distributional properties of estimators and test statistics. This book describes computationally intensive statistical methods in a unified presentation, emphasizing techniques, such as the PDF decomposition, that arise in a wide range of methods.
Author : I︠U︡riĭ Vasilʹevich Prokhorov,V. Statulevicius
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 43,7 Mb
Release : 2000-08-28
Category : Mathematics
ISBN : 3540570454
A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Author : Gui-Rong Liu,M. B. Liu
Publisher : World Scientific
Page : 473 pages
File Size : 40,9 Mb
Release : 2003
Category : Technology & Engineering
ISBN : 9789812384560
This is the first-ever book on smoothed particle hydrodynamics (SPH) and its variations, covering the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications. It contains many appealing and practical examples, including free surface flows, high explosive detonation and explosion, underwater explosion and water mitigation of explosive shocks, high velocity impact and penetration, and multiple scale simulations coupled with the molecular dynamics method. An SPH source code is provided and coupling of SPH and molecular dynamics is discussed for multiscale simulation, making this a friendly book for readers and SPH users.
Author : Adil M. Bagirov,Napsu Karmitsa,Sona Taheri
Publisher : Springer Nature
Page : 343 pages
File Size : 49,5 Mb
Release : 2020-02-24
Category : Technology & Engineering
ISBN : 9783030378264
This book describes optimization models of clustering problems and clustering algorithms based on optimization techniques, including their implementation, evaluation, and applications. The book gives a comprehensive and detailed description of optimization approaches for solving clustering problems; the authors' emphasis on clustering algorithms is based on deterministic methods of optimization. The book also includes results on real-time clustering algorithms based on optimization techniques, addresses implementation issues of these clustering algorithms, and discusses new challenges arising from big data. The book is ideal for anyone teaching or learning clustering algorithms. It provides an accessible introduction to the field and it is well suited for practitioners already familiar with the basics of optimization.
Author : G. G. Lorentz
Publisher : American Mathematical Society
Page : 200 pages
File Size : 45,7 Mb
Release : 2023-05-08
Category : Mathematics
ISBN : 9781470474942
This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.