On the regularity condition for the extremal problem under locally Lipschitz inclusion constraints

This paper deals with a regularity assumption for the existence of Lagrange Multipliers for an optimization problem in Hilbert spaces. First some results of [6] are extended; then a class of discrete systems in a Hilbert Space is considered where the regularity assumption automatically holds and the Discrete Maximum Principle is obtained.This research was partly supported by the Computer and Automation Institute of the Hungarian Academy of Sciences.     

Generalized deformed para-Bose oscillator and its coherent states

Generalized deformed commutation relations for a single-mode para-Bose oscillator are constructed. The connection of generalized deformed para-Bose oscillators with para-Bose oscillators is determined. From these, the energy spectrum of generalized deformed para-Bose oscillators and the coherent states of the annihilation operators are discussed. On leave from Department of Physics, Hanoi National University, 90 Nguyen Trai, Hanoi, Vietnam.     

Salting-out thin layer chromatography of transition metal complexes: A comparative study of the effect of increased number of CH2 groups in chelate rings

Summary The regularities previously established in salting-out thin-layer chromatography on silica gel of Co(III) complexes, in which the side chains of a specific chelate ring were successively increased in length, were also found to be valid for two series of Co(III) complexes of the EDTA type, in which different chelate rings were enlarged by one CH₂ group. It was found that in the case of complexes of the EDTA type the salting-out efficiencies were practically the same for all members of a series, while the values of the separation factors were paractically independent of the ammonium sulphate concentration in the solvent system used. The results obtained were consistent with the mechanism of nonspecific hydrophobic interactions. The method used can be applied to the separation of the members of the series of complexes that we investigated.     

Induced far-infrared absorption in rare-gas mixtures

Translational collision-induced absorption spectra of five binary rare gas mixtures have been recorded at various densities. The experimental procedure with special control requirements is described first. The binary feature of the absorption is shown to be valid over a large density range. For this particular situation, absorption coefficients and integrated intensity values have been expressed in terms of the product of density units. Finally, a comparison between experimental and theoretical results is discussed.     

Synthesis of chiral ADMET polymers containing repeating d-chiro-inositol units derived from a biocatalytically prepared diene diol

Several chiral hydroxylated polymers have been prepared, via ADMET techniques, from the diene diol derived from bromobenzene, obtained by means of whole-cell fermentation with Escherichia coli (JM109 pDTG601).