Decomposition of the Space of Regular Operators

Let E be a directed vector space with the Riesz decomposition property and F be a complete v?ctor lattice. It is proved that if G is a solid subspace of E then the subspace of all regular operators annihilating on G is a component in the space of all regular operators from E into F.¹²     

Spectroscopic study on nystatin conformational modifications generated by its interaction with the solvent

Conformational transformations of the tetraenic nystatin chromophore under the influence of solvents and UV irradiation have been studied by absorption, fluorescence and wide-line NMR spectroscopy.     

Electron impact mass spectrometry of phenyl thiophosphoroorganic amides

The interpretation of the electron impact mass spectra of methyl phenyl phosphinomorpholinylamidothioate, O-methyl phenyl phosphonomorpholinylamidothioate, phenyl phosphonomorpholinylamidochloridothioate and O-ethyl phenyl phosphonomorpholinyhimidothioate is presented. Elucidation of the fragmentation pathways was aided by exact mass measurements and observation of peaks due to metastable transitions detected for the first and last of the above compounds.     

Thermal behavior of some new chromium complexes with potential biological importance

Summary This paper reports the investigation of the thermal stability of three new complexes of Cr(III) with acrylate anion, [Cr₂(C₃H₃O₂)₄(OH)₂(H₂O)₄], [Cr₃O(C₃H₃O₂)₆(C₃H₄O₂)₃](C₃H₃O₂)×5H₂O and [Cr₂(C₃H₃O₂)₅(OH)] ×2H₂O, respectively. This type of complexes is important in proper carbohydrate and lipid metabolism of mammals. The thermal decomposition steps were evidenced. The thermal transformations are complex processes according to TG and DTG curves including dehydration and oxidative degradation of acrylate ion processes. The final product of decomposition is the chromium(III) oxide.     

Die photokolorimetrische Bestimmung des Palladiums mit 2-Mercapto-5-Anilin-1,3,4,-thiodiazol

Zusammenfassung Pd(II) gibt mit 2-Merkapto-5-anilin-1,3,4-thiodiazol eine Komplexverbindung; diese ist löslich und intensiv gelb gefärbt. Das stöchiometrische Verhältnis der beiden Komponenten beträgt 12. Die Komplexkonstante hat den Wert 4,17·10^–10. Eine empfindliche kolorimetrische Bestimmungsmethode für 0,12 bis 30 ppm Pd(II) wurde angegeben. Das UV-Spektrum der Komplexverbindung wurde ermittelt und der molare Extinktionskoeffizient bestimmt.

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Summary 2-Mercapto-5-aniline-1,3,4-thiodiazole yields a complex compound with palladium(II). This product is soluble and has an intense yellow color. The stoichiometric ratio of the components is 12; the complex constant is 4,17 ·10^–10. A sensitive colorimetric method for determining 0.12–30 ppm of palladium(II) is given. The ultraviolet spectrum of the complex compound has been mapped and also the molar extinction coefficient has been determined.

     

Carbon Cavity Microelectrode for Electrical Wiring of Enzyme by Insoluble Electroactive Species in Aqueous Media

The carbon cavity microelectrode (CME), exhibiting a volume of 4×10^?6 cm³, offers a genuine alternative for immobilizing and connecting enzymes in aqueous electrolytes by powder of insoluble redox materials. In the present work, the electrochemical behavior of two redox species such as ferrocene (Fc) and tetrathiafulvalene (TTF) was investigated with CME to evaluate their potentialities in the electrical wiring of enzymes. For this purpose, powder of two enzymes, glucose oxidase (GOx) and horseradish peroxidase (HRP), was independently mixed with an insoluble redox material and forced to fill the single micro cavity of a carbon electrode covered by an inert insulator. The presence of the electroactive species, as well as the enzyme wiring was investigated by cyclic voltammetry. The amperometric detection of glucose was carried out by potentiostating the TTF/GOx and the Fc/GOx microelectrodes at 0.25 and 0.35 V respectively. The amperometric detection of H₂O₂ by the TTF/HRP microelectrode was performed at ?0.1 V vs. SCE.     

Time-resolved photocurrent generation in a photoelectrochemical cell with phthalocyanine

The kinetics of photocurrent generated in the photoelectrochemical cell (PEC) with phthalocyanine (Pc) dyes in the microsecond time scale was discussed. The shape of the kinetics is rather complex and it was discussed in terms of molecular phenomena and electrochemical processes occurring after laser flash illumination. Time constants were calculated from the photocurrent decay curves and at least three time components were well recognized (rise in 0.40 micros, declining in 0.40-0.45 micros and secondary increase in about 2 micros). The shape of the kinetics was discussed in terms of dye singlet and triplet state participation in photocurrent generation and also in terms of creation of the Helmholtz-Goy double layer at the dye layer-semiconductor interface. The alteration in shape of the Helmholtz-Goy double layer in photoelectrochemical cell after laser pulse was also discussed.     

Combinatorial Statistics on Alternating Permutations

We consider two combinatorial statistics on permutations. One is the genus. The other, , is defined for alternating permutations, as the sum of the number of descents in the subwords formed by the peaks and the valleys. We investigate the distribution of on genus zero permutations and Baxter permutations. Our q-enumerative results relate the statistic to lattice path enumeration, the rank generating function and characteristic polynomial of noncrossing partition lattices, and polytopes obtained as face-figures of the associahedron.     

Card shuffling and a transformation on S n

Summary We consider two card shuffling schemes. The first, which has appeared in the literature previously ([G], [RB], [T]), is as follows: start with a deck ofn cards, and pick a random tuplet { 1, 2, , n} ⁿ ; interchange cards 1 andt ₁, then interchange cards 2 andt ₂, etc. The second scheme, which can be viewed as a transformation on the symmetric groupS _n , is given by the restriction of the former shuffling scheme to tuplest which form a permutation of {1, 2,,n}.We determine the bias of each of these shuffling schemes with respect to the sets of transpositions and derangements, and the expected number of fixed points of a permutation generated by each of these shuffling schemes. For the latter scheme we prove combinatorially that the permutation which arises with the highest probability is the identity. The same question is open for the former scheme. We refute a candidate answer suggested by numerical evidence [RB].This work was carried out in part while R.S. was visiting the Institute for Mathematics and its Applications and was partly supported through NSF Grant CCR-8707539.