Հտ․ 6 No. 1 (2014)
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2014-08-10
Articles
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Articles
An Economical Method for Compression of Fourier Cosine Transformations
ԱմփոփումA two-dimentional Krilov-Eckhoff type method for smooth functions is presented. A corresponding compression scheme for DCT is derived. Numerical results are presented and discussed. Some possible applications to Image Processing is suggested.
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Articles
On the Canonical Calkin Reduction Operator
ԱմփոփումThe topic of discussion here is the reduction operator of Calkin and his method of extensions of a Hermitian operator, variant from the von Neumann theory. An existence of a partial isometric reduction operator is established, which provides a link between these theories, and referred to as the canonical reduction operator. Concrete realization of discussed is applied to a canonical differential operator.
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Articles
Balancing in direction (1,-1) in Pascal's Triangle
ԱմփոփումIn this paper, we study the problem of balancing binomial coefficients in Pascal's triangle. We give the complete solution in the direction (1,-1) for the first four cases of the possible rays. Some linked questions have been also examined.
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