Maximal inequalities and their applications to orthogonal and Hadamard matrices

Periodica Mathematica Hungarica - Maximal inequalities for the signed vector summands are established. Probabilistic estimations for the sets of appropriate signs are given. By use of the...     

Imitation of biomembranes on the basis of cholic acid and endogenic thermostable protein complex in biopartitioning micellar chromatography

The structure of biomembranes was imitated by introducing nonionic surfactant polyoxyethylene (23) dodecylether, cholic acid and endogenic thermostable protein complex (14–65 kDa) into the mobile phase. The influence of concentration of these additives on the retention of the model compounds was studied. The competing interaction of cholic acid and endogenic thermostable protein complex in the lipid bilayer model was revealed on the basis of chromatographic data. The values of efficiency of the chromatographic column regarding solutes were increased by addition of endogenic thermostable protein complex to the mobile phase containing Brij‐35 and cholic acid. Copyright © 2011 John Wiley & Sons, Ltd.     

Furocoumarins of the fruit ofHeracleum asperum and of the roots ofH. apiifolium

Chemistry of Natural Compounds -     

The law of large numbers for weakly correlated random elements in the spaces lp, 1 ⩽ p < ∞

Lithuanian Mathematical Journal - We prove an analogue of Khinchin’s theorem for weakly correlated random elements with values in the spaces lp, 1 ? p &lt; ∞.