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Magic Squares and Linear Algebra

The American Mathematical Monthly, 1990
(1990). Magic Squares and Linear Algebra. The American Mathematical Monthly: Vol. 97, No. 1, pp. 60-62.
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The Algebra of Square Matrices

2007
The algebra of square matrices with entries in a fixed associate algebra over a field are considered. Special classes of square matrices (diagonal, tridiagonal, upper triangular, symmetric, Vandermonde, etc.) are defined and their properties are identified. Nonsingular matrices are studied in detail and methods for identifying them and computing matrix
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Square-well potential by an algebraic approach

Physical Review A, 1986
The spectrum-generating algebra for the problem of a particle in a potential well is shown to be su(1,1). Both the infinitely deep and finite square wells are considered. The generators can also be derived via a systematic procedure for determining the time-dependent constants of the motion. The coherent states are explicitly constructed.
Sabre Kais, Raphael D. Levine
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An Algebraic Construction for Room Squares

SIAM Journal on Applied Mathematics, 1972
The generalized singular direct product for quasi-groups is used to prove the following theorem: If there are pairs of Room quasi-groups of orders v, q and p, such that the pair of order p is a Room pair of subquasi-groups of the pair of order q and $q - p \ne 6$, then there is a pair of Room quasi-groups of order $v( {q - p} ) + p$. This theorem gives
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The Algebra of Semi-Magic Squares

The American Mathematical Monthly, 1955
(1955). The Algebra of Semi-Magic Squares. The American Mathematical Monthly: Vol. 62, No. 4, pp. 237-239.
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Noncommutative algebraic models for fiber squares

Mathematische Annalen, 1999
Keywords: algebraic models ; fiber squares Reference GR-HE-ARTICLE-1999-001doi:10.1007/s002080050302View record in Web of Science Record created on 2008-11-14, modified on 2017-05 ...
Dupont, Nicolas, Hess, Kathryn
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An Algebraic Treatment of Magic Squares

The Mathematics Teacher, 1973
Magic squares have always served as a good motivation device for drill in elementary and junior high mathematics. This article will consider an algebraic treatment of the 3×3 magic square to show some algebraic activities that can be carried out by the beginning or the advanced algebra student.
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Magic Squares and Linear Algebra

The American Mathematical Monthly, 1991
(1991). Magic Squares and Linear Algebra. The American Mathematical Monthly: Vol. 98, No. 6, pp. 481-488.
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Effect of Square Dance Exercise on Older Women With Mild Mental Disorders

Frontiers in Psychiatry, 2021
Jindong Chang   +2 more
exaly  

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