Vol. 6 No. 1 (2014)
Published:
2014-08-10
Articles
-
Articles
An Economical Method for Compression of Fourier Cosine Transformations
AbstractA 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.
References -
Articles
On the Canonical Calkin Reduction Operator
AbstractThe 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.
References -
Articles
Balancing in direction (1,-1) in Pascal's Triangle
AbstractIn 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.
References
