Stanford University Applied Mathematics and Statistics Laboratory
Overview
Works:  444 works in 649 publications in 1 language and 704 library holdings 

Genres:  Periodicals 
Roles:  Publisher 
Classifications:  H61.25, 620 
Publication Timeline
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Most widely held works about
Stanford University
 Sampling tables for inspection by variables by William Grant Ireson( Book )
 Academic computing collection by Charles Babbage Institute( )
 Academic computing collection by Charles Babbage Institute( )
Most widely held works by
Stanford University
Technical report by
Stanford University(
)
in English and held by 16 WorldCat member libraries worldwide
in English and held by 16 WorldCat member libraries worldwide
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 socalled 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 firstorder shifts in terms of Epsilon of the Green's function, Neumann's function, and eigenvalues, 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 3dimensional 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
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 socalled 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 firstorder shifts in terms of Epsilon of the Green's function, Neumann's function, and eigenvalues, 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 3dimensional 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
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
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
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
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
2 editions published in 1954 in English and held by 3 WorldCat member 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 WorldCat member libraries worldwide
2 editions published in 1959 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
2 editions published in 1956 in English and held by 3 WorldCat member libraries worldwide
Cycling by
Stanford University(
Book
)
2 editions published in 1956 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1956 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 SN curves. A probabilistic model for the life before fatigue failure of a structure is developed. (Author)
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 SN curves. A probabilistic model for the life before fatigue failure of a structure is developed. (Author)
The sequential design of experiments for infinitely many states of nature by
Arthur E Albert(
Book
)
3 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
Foundations of statistical learning theory by
William K Estes(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
An improved criterion for tightened inspection under the double sampling plans of MilStd105B by Barnard Elliot Smith(
Book
)
2 editions published in 1960 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1960 in English and held by 2 WorldCat member libraries worldwide
Continuous sampling procedures without control by
Cyrus Derman(
Book
)
3 editions published in 1958 in English and held by 2 WorldCat member libraries worldwide
3 editions published in 1958 in English and held by 2 WorldCat member libraries worldwide
On a pseudosolution 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 profitABLE 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. Pseudosolutions, 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)
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 profitABLE 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. Pseudosolutions, 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)
Optimal inventory depletion by
Peter W Zehna(
Book
)
2 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1959 in English and held by 2 WorldCat member libraries worldwide
A new twosided acceptance region for sampling by variables by
Stanford University(
Book
)
3 editions published in 1952 in English and held by 1 WorldCat member library worldwide
3 editions published in 1952 in English and held by 1 WorldCat member library worldwide
Sampling tables for inspection by variables by
William Grant Ireson(
Book
)
2 editions published in 1952 in English and held by 1 WorldCat member library worldwide
2 editions published in 1952 in English and held by 1 WorldCat member library worldwide
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Related Identities
 United States Office of Naval Research
 National Science Foundation (U.S.)
 Stanford University Department of Statistics
 Karlin, S. Author
 Stanford University Department of Operations Research
 Parzen, Emanuel 19292016 Author
 Derman, C. Author
 United States Office of Ordnance Research
 Suppes, P. Author
 Olkin, Ingram Author
Associated Subjects
Acceptance sampling Case Institute of Technology Civil engineeringResearch Computers Computer science Computer scienceMathematics Differential equations, Partial Economics Electronic data processing Electronic digital computers Electronics ElectronicsResearch ElectronicsSocieties, etc Experimental design Fourier analysis Functions Harvard University.Computation Laboratory Illinois Institute of Technology Integrated circuits InventoriesMathematical models MaterialsFatigueMathematical models Mathematical statistics Mathematics Medical statistics Moore School of Electrical Engineering Ohio State University Operations research Physics Poisson distribution Probabilities Project MAC (Massachusetts Institute of Technology) Punched card systems Quality controlStatistical methods Radio waves Sampling (Statistics) Social sciencesMathematical models Social sciencesMathematics Solid state electronics Spectral theory (Mathematics) Stanford Artificial Intelligence Laboratory Stanford University Stanford University.Applied Mathematics and Statistics Laboratory Statistics Structural engineering Structural failures System analysis Timeseries analysis University of California, Berkeley Wayne State University Welfare economicsMathematical models
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.
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