Results 281 to 290 of about 311,052 (319)

Algebraic Magic Squares

The Mathematics Teacher, 1921
There comes a time in the school year, usually during the spring term, when the mathematics teacher becomes convinced that as far as algebra is concerned, he might just as well be teaching so many “wooden Indians.” Those pupils, who are not wholly in a trance, are surreptitiously fondling a baseball glove, while x’s and y’s pass by unheeded.
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Square-zero determined matrix algebras

Linear and Multilinear Algebra, 2011
Let N n (R) be the algebra of all n × n strictly upper triangular matrices over a commutative unital ring R. It is shown in this article that N n (R) is square-zero determined. More definitely, if a symmetric bilinear map φ from N n (R) × N n (R) to an R-module V satisfies the condition that φ(u, u) = 0 whenever u 2 = 0, then there exists a linear map ...
Xiaobin Ma, Genhong Ding, Long Wang
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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 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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Least-Squares Fitting of Algebraic Spline Surfaces

Advances in Computational Mathematics, 2002
A new technique is described for fitting implicitly defined algebraic spline surfaces to scattered data in three-dimensional space. By approximating points and associated normal vectors estimated from the scattered data, a computationally simple method is obtained which requires the solution of a sparse system of linear equations.
Jüttler, Bert, Felis, Alf
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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.
, Kais, , Levine
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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 Topology of Algebra: Combinatorics of Squaring

Functional Analysis and Its Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic Least Squares Estimates of Inhibitor Constants

Journal of Enzyme Inhibition, 1991
When the data has a constant coefficient of variation, appropriately weighted least squares estimates of the parameters for competitive inhibition in both enzyme and binding experiments can be obtained algebraically. The algorithms are presented and justified.
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Parallel Square Modular Computer Algebra

2004
The computer algebra of parallel modular operations with a square diapason for a variable is described. The base set of the algebra is a finite dimension metric space of modular integer vectors. Two metrics are introduced. An orthogonal normal basis is employed to reconstruct the value of the integer number corresponding to the vector. An analog of the
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