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Handbook of Parametric and Nonparametric Statistical Procedures
, 1997With more than 500 pages of new material, the Handbook of Parametric and Nonparametric Statistical Procedures, Fourth Edition carries on the esteemed tradition of the previous editions, providing up-to-date, in-depth coverage of now more than 160 ...
D. Sheskin
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Square-well potential by an algebraic approach
Physical Review A, 1986The 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, 1972The 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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On the Deformation of Rings and Algebras
, 1964CHAPTER I. The deformation theory for algebras 1. Infinitesimal deformations of an algebra 2. Obstructions 3. Trivial deformations 4. Obstructions to derivations and the squaring operation 5. Obstructions are cocycles 6.
M. Gerstenhaber
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Square Roots of –1 in Real Clifford Algebras
, 2012It is well known that Clifford (geometric) algebra offers a geometric interpretation for square roots of –1in the form of blades that square to minus 1.
E. Hitzer+2 more
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Reducible Spectral Theory with Applications to the Robustness of Matrices in Max-Algebra
SIAM Journal on Matrix Analysis and Applications, 2009Let $a\oplus b=\max(a,b)$ and $a\otimes b=a+b$ for $a,b\in\overline{\mathbb{R}}:=\mathbb{R}\cup\{-\infty\}$. By max-algebra we understand the analogue of linear algebra developed for the pair of operations $(\oplus,\otimes)$, extended to matrices and ...
P. Butkovic+2 more
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STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
, 2012The main objective of this paper is to investigate an extension $\Delta^{\rm ext}_{G}(K)$ of the "Volterra-Gross" Laplacian on nuclear algebra of generalized functions.
A. Barhoumi+2 more
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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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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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An Algebraic Treatment of Magic Squares
The Mathematics Teacher, 1973Magic 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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