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Physical Sciences and Mathematics

Selected Works

Selected Works

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Legislative Note, Metallic Mining And Reclamation In Michigan: Environmental Management As A Gentler Approach, John Dernbach Dec 1976

Legislative Note, Metallic Mining And Reclamation In Michigan: Environmental Management As A Gentler Approach, John Dernbach

John C. Dernbach

No abstract provided.

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A Topological Structure On The Structure Sheaf,, Lawrence Stout Dec 1976

A Topological Structure On The Structure Sheaf,, Lawrence Stout

Lawrence N. Stout

No abstract provided.

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Weak Type Multipliers For Hankel Transforms, William C. Connett, Alan L. Schwartz Feb 1976

Weak Type Multipliers For Hankel Transforms, William C. Connett, Alan L. Schwartz

UMSL Emeritus

The main result of this paper is that weak type multiplier theorems for Jacobi expansions yield weak type multiplier theorems for Hankel transforms.

In recent papers the authors studied multiplier theorems for ultraspherical and Jacobi expansions. An interesting paper of Igari suggested a new approach to multiplier theorems that used asymptotics instead of the elaborate machinery used earlier.

This paper extends the method of Igari to give the first weak type multiplier theorem for Hankel transforms. This extension is important in itself and because this method together with the authors’ results for Jacobi multipliers will generalize to the “radial” functions …

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Topological Properties Of The Real Numbers Object In A Topos, Lawrence Stout Dec 1975

Topological Properties Of The Real Numbers Object In A Topos, Lawrence Stout

Lawrence N. Stout

In his presentation at the categories Session at Oberwolfach in 1973, Tierney defined the continuous reals for a topos with a natural numbers object (he called them Dedekind reals). Mulvey studied the algebraic properties of the object of continuous reals and proved that the construction gave the sheaf of germs of continuous functions from X to R in the spatial topos Sh( X). This paper presents the results of the study of the topological properties of the continuous reals with an emphasis on similarities with classical mathematics and applications to familiar concepts rephrased in topos terms.

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Orthogonal Polynomial Expansions With Nonnegative Coefficients, William F. Trench Dec 1975

Orthogonal Polynomial Expansions With Nonnegative Coefficients, William F. Trench

William F. Trench

No abstract provided.

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Published On Sw July First, Sid Twentythree Jun 1975

Published On Sw July First, Sid Twentythree

Sid Twentythree

It's for a test. Praesent mattis non odio et scelerisque. Aenean ut ipsum molestie, feugiat metus et, eleifend eros. Quisque mattis efficitur erat a semper. Nullam mattis varius convallis. In pulvinar erat eget risus lobortis porttitor. Nunc vel viverra mauris, et euismod lorem. Ut ac erat pharetra, venenatis urna ut, tempor eros. Sed interdum orci in finibus laoreet. Aenean ligula sem, lacinia non efficitur sit amet, rhoncus vel est. Suspendisse elementum massa et consequat accumsan.

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Proof Of A Conjecture Of Askey On Orthogonal Expansions With Positive Coefficients, William F. Trench Dec 1974

Proof Of A Conjecture Of Askey On Orthogonal Expansions With Positive Coefficients, William F. Trench

William F. Trench

No abstract provided.

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Oscillation Properties Of Perturbed Disconjugate Equations, William F. Trench Dec 1974

Oscillation Properties Of Perturbed Disconjugate Equations, William F. Trench

William F. Trench

No abstract provided.

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Removal Of Phosphorus From Static Sewage Effluent By Waterhyacinth, W Harold Ornes Dec 1974

Removal Of Phosphorus From Static Sewage Effluent By Waterhyacinth, W Harold Ornes

W. Harold Ornes

Waterhyacinth [Eichhornia crassipes (Mart.) Solms] was grown in static sewage effluent during May to July 1974 in outdoor concrete containers with a capacity of 760 liters and a surface area of 1.66 m². The plants were removed weekly from one-half of the surface area of the containers during 5-wk growth periods. Tissue phosphorus (P) and nitrogen (N), plant productivity, and some parameters of water quality were measured. A maximum uptake of 5,500 µg of P/g dry weight of plant material occurred when the level of orthophosphate phosphorus (available P) in the effluent was 1.1 µg/ml. Phosphorus in the effluent was …

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A Sufficient Condition For Eventual Disconjugacy, William F. Trench Dec 1974

A Sufficient Condition For Eventual Disconjugacy, William F. Trench

William F. Trench

No abstract provided.

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Riverine Commerce In Thailand: Tradition In Decline, James A. Hafner Emeritus Professor Jun 1974

Riverine Commerce In Thailand: Tradition In Decline, James A. Hafner Emeritus Professor

James A Hafner

No abstract provided.

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Canonical Forms And Principal Systems For General Disconjugate Equations, William F. Trench Dec 1973

Canonical Forms And Principal Systems For General Disconjugate Equations, William F. Trench

William F. Trench

No abstract provided.

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Man And Environment In Rural Thailand, James A. Hafner Emeritus Professor Jun 1973

Man And Environment In Rural Thailand, James A. Hafner Emeritus Professor

James A Hafner

No abstract provided.

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Toward A Generalized Krohn-Rhodes Theory, Robert Yacobellis Dec 1972

Toward A Generalized Krohn-Rhodes Theory, Robert Yacobellis

Robert H Yacobellis

No abstract provided.

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On Generalized Matrix Functions, John Hawkins, Adi Ben-Israel Dec 1972

On Generalized Matrix Functions, John Hawkins, Adi Ben-Israel

John B. Hawkins

No abstract provided.

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Nonnegative And Alternating Expansions Of One Set Of Orthogonal Polynomials In Terms Of Another, William F. Trench Dec 1972

Nonnegative And Alternating Expansions Of One Set Of Orthogonal Polynomials In Terms Of Another, William F. Trench

William F. Trench

No abstract provided.

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Strong Discrete Minimum Variance Estimation Of A Polynomial Plus Random Noise, William F. Trench Dec 1972

Strong Discrete Minimum Variance Estimation Of A Polynomial Plus Random Noise, William F. Trench

William F. Trench

No abstract provided.

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Asymptotic Behavior Of Solutions Of Lu=G(T,U,Dots,U^(K-1)), William F. Trench Dec 1971

Asymptotic Behavior Of Solutions Of Lu=G(T,U,Dots,U^(K-1)), William F. Trench

William F. Trench

No abstract provided.

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Stability Of A Class Of Discrete Minimum Variance Smoothing Formulas, William F. Trench Dec 1971

Stability Of A Class Of Discrete Minimum Variance Smoothing Formulas, William F. Trench

William F. Trench

No abstract provided.

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Discrete Minimum Variance Smoothing Of A Polynomial Plus Random Noise, William F. Trench Dec 1970

Discrete Minimum Variance Smoothing Of A Polynomial Plus Random Noise, William F. Trench

William F. Trench

No abstract provided.

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Ionic Polishing Of Fused Silica And Glass, Raymond Wilson Dec 1969

Ionic Polishing Of Fused Silica And Glass, Raymond Wilson

Raymond Wilson

This paper reviews research in the erosion of fused silica and glass in an effort to gain a better understanding of the ionic polishing process as applied to optical materials. Erosion rates depend on ion mass, ion energy, target temperature, angle of incidence, and target material, and can also depend on vacuum pressure. The paper also considers other effects that accompany ionic bombardment of insulators, such as nature of the eroded surface, contaminate films, surface layer alterations, secondary electron emission, and gas trapping and release.

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Continuous Smoothing With Polynomial Weighting, William F. Trench Dec 1969

Continuous Smoothing With Polynomial Weighting, William F. Trench

William F. Trench

No abstract provided.

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Computation Of Synthetic Spectra For A Semi-Infinite Atmosphere, A. Uesugi, William M. Irvine Dec 1968

Computation Of Synthetic Spectra For A Semi-Infinite Atmosphere, A. Uesugi, William M. Irvine

William M. Irvine

No abstract provided.

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A Class Of Linear Transformations Which Can Be Written As The Product Of Projections, John B. Hawkins, William J. Kammerer Jun 1968

A Class Of Linear Transformations Which Can Be Written As The Product Of Projections, John B. Hawkins, William J. Kammerer

John B. Hawkins

No abstract provided.

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Right Alternative Rings, Irvin Roy Hentzel Dec 1967

Right Alternative Rings, Irvin Roy Hentzel

Irvin Roy Hentzel

No abstract provided.

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Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench Dec 1966

Bounds On The Generating Functions Of Certain Smoothing Operations, William F. Trench

William F. Trench

No abstract provided.

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Research In Methods Of Generating Liapunov Functions, William F. Trench, Ronald Drake, Edward Norman Dec 1966

Research In Methods Of Generating Liapunov Functions, William F. Trench, Ronald Drake, Edward Norman

William F. Trench

No abstract provided.

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On The Stability Of Midpoint Smoothing With Legendre Polynomials, William F. Trench Dec 1966

On The Stability Of Midpoint Smoothing With Legendre Polynomials, William F. Trench

William F. Trench

No abstract provided.

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A Data Combination Method For Postflight Trajectory Analysis, William F. Trench Dec 1966

A Data Combination Method For Postflight Trajectory Analysis, William F. Trench

William F. Trench

No abstract provided.

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Weighting Coefficients For The Prediction Of Stationary Time Series From The Finite Past, William F. Trench Dec 1966

Weighting Coefficients For The Prediction Of Stationary Time Series From The Finite Past, William F. Trench

William F. Trench

No abstract provided.

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