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Stanford University Applied Mathematics and Statistics Laboratory

Overview
Works: 443 works in 649 publications in 1 language and 704 library holdings
Genres: Periodicals 
Roles: Publisher
Publication Timeline
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Publications about Stanford University
Publications by Stanford University
Most widely held works about Stanford University
 
Most widely held works by Stanford University
Technical report by Stanford University( serial )
in English and Undetermined and held by 18 libraries worldwide
Technical report ( serial )
in English and held by 9 libraries worldwide
Convexity of functionals by transplantation by George Pólya( Book )
1 edition published in 1953 in English and held by 6 libraries worldwide
The dependence of various functionals on their domain of definition is discussed. The functionals are defined by certain extremum problems. The methods of transplanting extremum functions and of variation are applied to the problem of utilizing the knowledge of the functional for a few special domains to obtain knowledge about the same functional in the general case. Functionals such as torsional rigidity, virtual mass, outer conformal radius, and electrostatic capacity are treated. A discussion is given of a theorem of Poincare which permits an easy simultaneous estimation of the N first eigenvalues of a general type of eigenvalue problem. The convexity of various combinations of eigenvalues is studied for the case in which the domain of definition is deformed by stretching or by conformal transformation. The usefulness of the fact that the initial domain D(1) has symmetry properties is indicated. The invariance of the class of harmonic functions in D under conformal mapping can be used to derive convexity statements for some functionals connected with the Green's function for Laplace's equation. A numerical application is given for the torsional rigidity of isosceles triangles and rectangles
Convexity of domain functionals by Paul Garabedian( Book )
1 edition published in 1953 in English and held by 5 libraries worldwide
A rigorous theory is developed for variation of domain functions in a space of 3 dimensions as well as in the plane. The classical Hadamard variational formulas in space are discussed, and the so-called interior variational method is generalized to 3 dimensions. Interior variations of a 3- dimensional domain D are defined by means of differential mappings of D which depend on a small parameter Epsilon. The first-order shifts in terms of Epsilon of the Green's function, Neumann's function, and eigen-values, which result from this variation of D, are calculated rigorously by referring all varied quantities back to the original D through the infinitesimal mappings. Since proof is possible that the varied domain functions can be expanded in powers of Epsilon, the perturbation method is employed to calculate the second variations of these functions. Second variation expressions are obtained for the capacity, virtual mass, and eigenvalues corresponding to various particular ways in which D can be shifted. The variational theory is specialized to the case of 2 independent variables to show the existence of vortex sheets in axially symmetric, irrotational flow of an incompressible fluid. An external characterization of vortex sheets in 3-dimensional space without symmetry of any kind is sketched heuristically. In a study of the eigen functions and eigenvalues of the vibrating membrane, the second variation is used to show that under certain conformal mappings of a domain, which depend on a suitable parameter, the inverse square of the principal frequency of the domain becomes a convex function of the parameter
Sampling plans for inspection by variables by Gerald J Lieberman( Book )
2 editions published in 1954 in English and held by 3 libraries worldwide
Notes on Fourier analysis and spectral windows by Emanuel Parzen( Book )
3 editions published in 1963 in English and held by 3 libraries worldwide
A systematic development of some basic ideas about Fourier analysis and spectral windows is presented in order to have a convenient reference for results to be used in other work on statistical spectral analysis
Applications of analytic continuation to the solution of boundary value problems by Stanford University( Book )
in English and held by 3 libraries worldwide
Connections and conformal mapping by M Schiffer( Book )
1 edition published in 1961 in English and held by 3 libraries worldwide
Contents: The integral equation for circular mapping Variational theory for moduli Connections on plane domains Variational theory for connections Connections on closed Riemann surfaces Variation of connections on Riemann surfaces
On the economic welfare function by Kenʼichi Inada( Book )
1 edition published in 1961 in English and held by 3 libraries worldwide
Statistical inference on time series by Hilbert space methods, I by Emanuel Parzen( Book )
2 editions published in 1959 in English and held by 3 libraries worldwide
Tables for estimating a proportion or a Poisson mean with prescribed precision by Allan Birnbaum( Book )
2 editions published in 1956 in English and held by 3 libraries worldwide
Technical report ( serial )
in English and held by 3 libraries worldwide
Continuous sampling procedures without control by Cyrus Derman( Book )
3 editions published in 1958 in English and held by 2 libraries worldwide
Cycling by Stanford University( Book )
2 editions published in 1956 in English and held by 2 libraries worldwide
Optimal inventory depletion by Peter W Zehna( Book )
2 editions published in 1959 in English and held by 2 libraries worldwide
Foundations of statistical learning theory, I. : the linear model for simple learning by William K Estes( Book )
in English and held by 2 libraries worldwide
An improved criterion for tightened inspection under the double sampling plans of Mil-Std-105B by Barnard Elliot Smith( Book )
2 editions published in 1960 in English and held by 2 libraries worldwide
On models for the probability of fatique failure of a structure by Emanuel Parzen( Book )
2 editions published in 1959 in English and held by 2 libraries worldwide
The paper represents an attempt by a person trained in probability theory to survey some of the problems involved in evaluating structural safety. A review is presented of the probabilistic considerations involved in evaluating the strength of materials, and the construction of so called S-N curves. A probabilistic model for the life before fatigue failure of a structure is developed. (Author)
A new two-sided acceptance region for sampling by variables by Stanford University( Book )
3 editions published in 1952 in English and held by 1 library worldwide
Sequential design of experiments by Stanford University( Book )
3 editions published in 1958 in English and held by 1 library worldwide
 
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Alternative Names
Applied Mathematics & Statistics Laboratory.
Applied Mathematics and Statistics Laboratories
Applied Mathematics and Statistics Laboratory
Behavioral Sciences Division. Applied Mathematics and Statistics Laboratory.
Stanford University Applied Mathematics and Statistics Laboratories
Stanford University. Behavioral Sciences Division. Applied Mathematics and Statistics Laboratory.
Languages
English (45)
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