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Physical Sciences and Mathematics Commons

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Articles 1 - 9 of 9

Full-Text Articles in Physical Sciences and Mathematics

Remarks On Tensor Operators, Daniel Flath Jul 1990

Remarks On Tensor Operators, Daniel Flath

Daniel Flath

No abstract provided.


Visions Of Infinity: Design And Pattern In Oriental Carpets, Carol Bier Jan 1990

Visions Of Infinity: Design And Pattern In Oriental Carpets, Carol Bier

Carol Bier

No abstract provided.


Interpolation And Spectra Of Regular Lp-Space Operators, Karen Saxe Dec 1989

Interpolation And Spectra Of Regular Lp-Space Operators, Karen Saxe

Karen Saxe

No abstract provided.


Why December 21 Is The Longest Day Of The Year, Stan Wagon Dec 1989

Why December 21 Is The Longest Day Of The Year, Stan Wagon

Stan Wagon, Retired

No abstract provided.


Editor's Corner: The Euclidean Algorithm Strikes Again, Stan Wagon Dec 1989

Editor's Corner: The Euclidean Algorithm Strikes Again, Stan Wagon

Stan Wagon, Retired

No abstract provided.


Efficient Application Of The Schauder-Tychonoff Theorem To Systems Of Functional Differential Equations, William F. Trench Dec 1989

Efficient Application Of The Schauder-Tychonoff Theorem To Systems Of Functional Differential Equations, William F. Trench

William F. Trench

No abstract provided.


Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He Dec 1989

Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He

Tian-Xiao He

No abstract provided.


Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench Dec 1989

Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench

William F. Trench

No abstract provided.


An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel Dec 1989

An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel

UMSL Emeritus

We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the analogue of Euclid's theorem giving the sufficient condition that an integer be an even perfect number holds in F, and an analogue of the Euclid-Euler theorem giving the necessary and sufficient condition that an even integer be perfect holds in those domains having more than two units, i. e., in Q(−1) …