WorldCat Identities

Stanford University Applied Mathematics and Statistics Laboratory

Overview
Works: 423 works in 575 publications in 1 language and 631 library holdings
Roles: Publisher
Classifications: HG4028.C4, 332.670182
Publication Timeline
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Most widely held works about Stanford University
 
Most widely held works by Stanford University
Convexity of domain functionals by Paul Garabedian( Book )

1 edition published in 1953 in English and held by 5 WorldCat member 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
Convexity of functionals by transplantation by George Pólya( Book )

1 edition published in 1953 in English and held by 5 WorldCat member 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
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 WorldCat member libraries worldwide

Optimal policy for dynamic inventory process with stochastic demands subject to seasonal vartiations by Stanford University( Book )

4 editions published in 1960 in English and held by 3 WorldCat member 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 WorldCat member libraries worldwide

Connections and conformal mapping by Menahem Schiffer( Book )

1 edition published in 1961 in English and held by 3 WorldCat member 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
Notes on Fourier analysis and spectral windows by Emanuel Parzen( Book )

3 editions published in 1963 in English and held by 3 WorldCat member 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
On the economic welfare function by Kenʼichi Inada( Book )

1 edition published in 1961 in English and held by 3 WorldCat member libraries worldwide

Sampling plans for inspection by variables by Gerald J Lieberman( Book )

2 editions published in 1954 in English and held by 3 WorldCat member libraries worldwide

Optimal inventory depletion by Peter W Zehna( Book )

2 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide

The evaluation of risky interrelated investments by Frederick S Hillier( Book )

3 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide

A study was made of the problem of evaluating a set of risky interrelated investments. Choosing present value and expected utility of present value as criteria, exact and approximate procedures were developed for selecting the optimal combination of investments under various sets of assumptions. Necessary conditions for optimality were derived and a model for describing a proposed set of investments was developed. This model would be used for determining the mean, variance, and possibly the functional form of the probability distribution of present value. The question of when this distribution would be normal or approximately normal was extensively explored. Several models were developed for finding expected utility. Given these results, the problem can be solved by selecting the combination of investments which maximizes expected utility from among the feasible combinations for which the necessary conditions for optimality hold. The problem was also studied in a broader dynamic context. This study led to the formulation of a change-constrained mathematical programming model. (Author)
Sampling tables for inspection by variables by William Grant Ireson( Book )

in English and held by 2 WorldCat member 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 WorldCat member 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)
On a pseudo-solution to a scheduling problem by Stanford University( Book )

2 editions published in 1962 in English and held by 2 WorldCat member libraries worldwide

The scheduling problem considered is relatively simple. All the operations were considered as equally important, and it was assumed that each of the operations could be performed at any time uninterruptedly. In reality, most of the scheduling problems are more complicated. Some operations often require priority over other operations in the sense that they are more profit-ABLE OR A HIGHER UTILITY WEIGHT IS ATTACHED TO THEM. In these cases, the scheduling problem might be more complicated, since there are more restrictions in the case of priorities, and more freedom of choice in the case of discontinuous operations. Yet, no way of finding a general optimal solution, which is short of complete enumeration, was established. Pseudo-solutions, based on an extra assumption concerning the dependence structure among the earliest starting points of operations, were derived by the method of dynamic programming. (Author)
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 WorldCat member libraries worldwide

Cycling by Stanford University( Book )

2 editions published in 1956 in English and held by 2 WorldCat member libraries worldwide

The sequential design of experiments for infinitely many states of nature by Stanford University( Book )

3 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide

Foundations of statistical learning theory. II: The stimulus sampling model by William K Estes( Book )

in English and held by 2 WorldCat member libraries worldwide

 
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Associated Subjects
Acceptance sampling Capital investments--Mathematical models Carnegie-Mellon University Case Institute of Technology Case Institute of Technology.--Systems Research Center Computation laboratories Conformal mapping Connections (Mathematics) Cornell Aeronautical Laboratory Cornell University Differential equations, Partial Experimental design Fourier analysis Functional analysis Functions Harvard University.--Computation Laboratory Inventories--Mathematical models Investments--Mathematics Learning, Psychology of--Mathematical models Materials--Fatigue--Mathematical models Mathematical models New York University Ohio State University Pennsylvania State University Poisson distribution Probabilities Project MAC (Massachusetts Institute of Technology) Quality control--Statistical methods Risk Sampling (Statistics) Spectral theory (Mathematics) Stanford University Stanford University.--Applied Mathematics and Statistics Laboratory Stanford University.--Computer Science Department State University of New York Structural engineering Structural failures Time-series analysis University of California, Berkeley University of California, Los Angeles University of California, Los Angeles.--Department of Engineering University of California, Los Angeles.--Health Sciences Computing Facility University of Hawaii (Honolulu) University of Illinois (Urbana-Champaign campus).--Digital Computer Laboratory University of Minnesota University of Pennsylvania Variables (Mathematics) Wayne State University Welfare economics--Mathematical models Whirlwind computer
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 (41)