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Full-Text Articles in Education
Stress And Educational Administration: Variations In Stress Factors Across Administrative Levels, Cynthia R. Frick, John Fraas
Stress And Educational Administration: Variations In Stress Factors Across Administrative Levels, Cynthia R. Frick, John Fraas
John W. Fraas
No abstract provided.
Kindergarten Screening Test: Does It Predict Academic Achievement, John Fraas, D Scott Aronholt, Bettilu Fraas
Kindergarten Screening Test: Does It Predict Academic Achievement, John Fraas, D Scott Aronholt, Bettilu Fraas
John W. Fraas
No abstract provided.
An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel
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) …