Evaluation Of The Probability Integral To High Precision
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Evaluation Of The Probability Integral To High Precision
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Author : Francis Dominic Murnaghan
language : en
Publisher:
Release Date : 1954
Evaluation Of The Probability Integral To High Precision written by Francis Dominic Murnaghan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.
Evaluation Of The Probability Integral To High Precision
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Author : Francis Dominic Murnaghan
language : en
Publisher:
Release Date : 1965
Evaluation Of The Probability Integral To High Precision written by Francis Dominic Murnaghan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Probabilities categories.
The 'converging factor' for an asymptotic series representing a function f(x) is that number by which the (n + 1) term of the series must be multiplied so that the result of adding this product to the sum of the first n terms will be f(x). The determination to high precision of this factor for the asymptotic series representing the probability integral is described. Tables of this factor to 63 decimal places are included for n ranging from 2 to 64. (Author).
Technical Abstract Bulletin
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Author :
language : en
Publisher:
Release Date :
Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
Government Wide Index To Federal Research Development Reports
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Author :
language : en
Publisher:
Release Date : 1965-10
Government Wide Index To Federal Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-10 with Government publications categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1992
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aeronautics categories.
Asymptotics And Special Functions
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Author : F. W. J. Olver
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Asymptotics And Special Functions written by F. W. J. Olver and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.
Asymptotics And Special Functions
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Author : Frank Olver
language : en
Publisher: CRC Press
Release Date : 1997-01-24
Asymptotics And Special Functions written by Frank Olver and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-24 with Mathematics categories.
A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Report David W Taylor Model Basin
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Author : David W. Taylor Model Basin
language : en
Publisher:
Release Date : 1965
Report David W Taylor Model Basin written by David W. Taylor Model Basin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Shipbuilding categories.
Log Gases And Random Matrices Lms 34
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Author : Peter J. Forrester
language : en
Publisher: Princeton University Press
Release Date : 2010-07-01
Log Gases And Random Matrices Lms 34 written by Peter J. Forrester and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-01 with Mathematics categories.
Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field.
Analysis Of Structures On Elastic Foundation
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Author : Levon G. Petrosian
language : en
Publisher: CRC Press
Release Date : 2022-06-13
Analysis Of Structures On Elastic Foundation written by Levon G. Petrosian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-13 with Technology & Engineering categories.
This book is devoted to the static and dynamic analysis of structures on elastic foundation. Through comprehensive analysis, the book shows analytical and mechanical relationships among classic and modern methods of solving boundary value problems. The book provides a wide spectrum of applications of modern techniques and methods of calculation of static and dynamic problems of engineering design. It pursues both methodological and practical purposes, and the accounting of all methods is accompanied by solutions of the specific problems, which are not merely illustrative in nature but may represent an independent interest in the study of various technical issues. Two special features of the book are the extensive use of the generalized functions for describing the impacts on structures and the substantiations of the methods of the apparatus of the generalized functions. The book illustrates modern methods for solving boundary-value problems of structural mechanics and soil mechanics based on the application of boundary equations. The book presents the philosophy of boundary equations and boundary element methods. A number of examples of solving different problems of static and dynamic calculation of structures on an elastic foundation are given according to the methods presented in the book. Introduces a general approach to the method of integral transforms based on the spectral theory of the linear differential operators. The Spectral Method of Boundary Element (SMBE) is developed based on using integral transforms with an orthogonal kernel in the extended domain. Presents a new, versatile foundation model with a number of advantages over the ground-based models currently used in practical calculations. Provides new transforms which will aid in solving various problems relevant to bars, beams, plates, and shells in particular for the structures on elastic foundation. Examines the methods of solving boundary-value problems typical for structural mechanics and related fields.