Thymus is regarded as one of the medicinal species, which according to obtained chromatograms of floral water of Thymus; one of the main components is thymol as strong antioxidant. In this study the appropriate and physically powerful correlation was found between the anti-radical and oxidation potentials. The antioxidant activity of the Thymus was measured by using square wave and cyclic volta...

This paper generalizes the fast Fourier transform algorithm to the computationof Fourier transformson compact Lie groups. The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of nitely supported distributions on the group. Similar transforms may be deened on homogeneou...

An algorithm is presented allowing the construction of fast Fourier transforms for any solvable group on a classical computer. The special structure of the recursion formula being the core of this algorithm makes it a good starting point to obtain systematically fast Fourier transforms for solvable groups on a quantum computer. The inherent structure of the Hilbert space imposed by the qubit ar...

Fast trigonometric transforms and periodic orthogonal wavelet transforms are essential tools for numerous practical applications. It is very important that fast algorithms work stable in a floating point arithmetic. This survey paper presents recent results on the worst case analysis of roundoff errors occurring in floating point computation of fast Fourier transforms, fast cosine transforms, a...