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On Unimodular Matrices of Difference Operators
2018We consider matrices \(L \in \mathrm{Mat} _n(K[\sigma , \sigma ^{-1}])\) of scalar difference operators, where K is a difference field of characteristic 0 with an automorphism \(\sigma \). We discuss approaches to compute the dimension of the space of those solutions of the system of equations \(L(y)=0\) that belong to an adequate extension of K.
Sergei A. Abramov, Denis E. Khmelnov
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Operator-Difference Scheme with a Factorized Operator
2015In the study of difference schemes for time-dependent problems of mathematical physics, the general theory of stability (well-posedness) for operator-difference schemes is in common use. At the present time, the exact (matching necessary and sufficient) conditions for stability are obtained for a wide class of two- and three-level difference schemes ...
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Comparing Different Aging Operators
2009Quite different search heuristics make use of the concept of assigning an age to search points and systematically remove search points that are too old from the search process. In evolutionary computation one defines some finite maximal lifespan and assigns age 0 to each new search point. In artificial immune systems static pure aging is used.
Thomas Jansen 0001, Christine Zarges
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Green’s formula for difference operators
Theoretical and Mathematical Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inverse Linear Difference Operators
Computational Mathematics and Mathematical Physics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Difference Analog of the Lamé Operator
Proceedings of the Steklov Institute of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mauleshova, G. S., Mironov, A. E.
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Peak Detection Using Difference Operators
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1979Complex waveforms may contain peaks and valleys at many different scales, ranging from very local to very global. This correspondence describes an approach to detecting these peaks and valleys by applying simple difference operators at each point to neighborhoods having a wide range of sizes, and making simple comparisons of the outputs of these ...
Jan-Olof Eklundh, Azriel Rosenfeld
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On Generalized Powers of the Difference Operator
Canadian Journal of Mathematics, 1965Sumner (3) discussed for arbitrary real λ and h, where the averaging operator ∇h is defined by(1.1)when f(z) is an entire function of exponential type <2π/|h|. Boas (2) gave an alternative definition of ∇h which gave Sumner's results quickly and showed that his definition is equivalent to that of Sumner.
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Sex Differences in Formal Operations
The Journal of Psychology, 1993Research relating cognitive development to gender has been rather limited. The few studies that have explored such a relationship have been conclusive. The object of this study was to explore whether African students' performance on formal operations measure would be related to whether they were male or female.
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On higher-order difference operators
Journal of Difference Equations and Applications, 1995For fixed p, q ≥ 1 we consider the equation (1) where y = [y v ] v≥0 and a vj ∈ ℂ are complex numbers. The operator L is called non-degenerate if a vp ≠ 0, v ≥q. In this article we define the Weyl matrix for L, establish its properties, and consider the inverse problem of determining L from its Weyl matrix. We obtain an algorithm of solving,
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