Perturbations with several independent parameters

Independent Component Analysis with Several Mixing Matrices

A new algorithm is proposed for the variation of independent component analysis (ICA) in which there are several mixing matrices and, for each set of independent components, one of the matrices is randomly chosen to mix the components. The algorithm utilizes high-order moments and can obtain consistent estimators even if the true probability density function of independent components is not obt...

Several parameters of generalized Mycielskians

The generalized Mycielskians (also known as cones over graphs) are the natural generalization of the Mycielski graphs (which were first introduced by Mycielski in 1955). Given a graph G and any integer m 0, one can transform G into a new graph m(G), the generalized Mycielskian of G. This paper investigates circular clique number, total domination number, open packing number, fractional open pac...

Comparison of Several Tests for Combining Several Independent Tests

Melting Parameters of Dna Complexes with Several Intercalators

Comparative study of DNA complexes with acridine orange (AO), ethidium bromide (EtBr) and methylene blue (MB) has been carried out at 0.02 M ionic strength of solution in 0 < r  0.33, r = [ligand] / [DNA] range. The values of changes of melting parameters ((1/Tm) and (T/Tm)) of these complexes were determined. From the obtained data it was revealed that the dependence of (1/Tm) enhances in...

Commutators with Reisz Potentials in One and Several Parameters

Let Mb be the operator of pointwise multiplication by b, that is Mb f = bf . Set [A,B] = AB−BA. The Reisz potentials are the operators Rα f(x) = ∫ f(x− y) dy |y|α , 0 < α < 1. They map L 7→ L, for 1 − α + 1 q = 1 p , a fact we shall take for granted in this paper. A Theorem of Chanillo MR84j:42027 [6] states that one has the equivalence ‖[Mb,Rα]‖p→q ≃ ‖b‖BMO with the later norm being that of th...