Density comparison for independent and right censored samples via kernel smoothing

In this paper the problem of comparing k density functions from survival data is considered. Two non-parametric tests based on (two different) generalizations of the L ₁ measure are adapted to the censored context. The asymptotic distribution of the test statistics is derived, and an approximation based on resampling methods is proposed. The relative power of the tests is investigated through a Monte Carlo simulation study. Results suggest that the tests exhibit good power when no one of the survival functions dominates the others, especially when the censoring distribution is the same along the k groups and the censoring percentage is small.     

Total synthesis of 8,12-iso-iPF3alpha-VI, an EPA-derived isoprostane: stereoselective introduction of the fifth asymmetric center

[reaction: see text] A new and stereoselective approach for the synthesis of all-syn isoprostanes is reported. This method, which is based on acid-catalyzed Diels-Alder reaction, allows the introduction of the side chain with a predetermined stereochemistry of the hydroxy group. The first total synthesis of an eicosapentaenoic acid (EPA)-derived iP, 8,12-iso-iPF3alpha-VI 10, was performed using this approach.     

Finiteness conditions and infinite matrix rings

For a unital ring , RCFM denotes the ring of row and column finite matrices over indexed by . We give necessary and sufficient structural conditions on RCFM which are equivalent to being, respectively, Quasi-Frobenius, left artinian, and left noetherian.

     

A 1:1:2 complex between 1,4,8,11-tetraazacyclotetradecane (cyclam), anthraflavic acid, and water

A 1:1:2 complex of 1,4,8,11-tetraazacyclotetradecane (cyclam), anthraflavic acid, and water has been obtained and characterized by X-ray diffraction. C₂₄H₃₆N₄O₆, monoclinic, P2₁/c, a = 11.966(1) Å, b = 11.570(1) Å, c = 9.604(1) Å, = 107.16(1)°,V = 1270.5(2) ų, Z = 2. Two of the four N atoms of the macrocyclic ring are protonated, and the corresponding anthraflavic acid exists as a dianion. The following types of H-bonding have been found in this complex: (1) between protonated NH groups of the macrocycle and O atoms of the ionized anthraflavic hydroxyls; (2) between protonated and nonprotonated NH groups of the macrocycle; (3) between the water molecules and O atoms of the ionized anthraflavic hydroxyls. The above interactions give rise to the formation of a 2D-supramolecular network in the cyclam complex; however, the major difference from the azamacrocyclic anthraflavates studied previously is that there is no direct interaction between the anthraflavic anions.Deceased     

Some remarks on bounds to eigenvalues of Sturm-Liouville problems with discontinuous coefficients

Upper and lower bounds on the eigenvalues of Sturm-Liouville problems with discontinuous coefficients are discussed. Rayleigh-Ritz approximations based both on Rayleigh's quotient and the dual Rayleigh quotient are used for obtaining upper bounds for the eigenvalues. Though previous studies have indicated that such approximations yield poor results when large discontinuities in the coefficients occur, it is shown in this paper by means of numerical examples that thesame rate of convergence can be achieved as for systems with continuous coefficients, provided the trial functions are allowed to have arbitrary jump discontinuities in their derivatives across the points where the coefficients suffer discontinuities. New explicit lower bounds in terms of the coefficients are also established. The accuracy of the new estimates is illustrated by numerical examples.

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Résumé On discute les bornes supérieures et inférieures des valeurs caractéristiques des problèmes de Sturm-Liouville avec des coefficients discontinus. Les approximations de Rayleigh-Ritz, basées sur le quotient de Rayleigh et le quotient jumelé de Rayleigh, sont utilisées pour obtenir les bornes supérieures des valeurs caractéristiques. Bien que les études antérieures aient indiqué que ces approximations donnent des résultats médiocres quand les coefficients ont de grandes discontinuités, on démontre dans cet article par des exemples numériques qu'on peut réaliser le même degré de convergence que pour les systèmes á coefficients continuous, pourvu que les fonctions d'essai admises aient des sauts arbitraires dans leurs dérivées á travers les points où les coefficients subissent des discontinuités. De nouvelles bornes inférieures sont déterminées sous une forme explicite en fonction des coefficients. On montre l'exactitude des nouveaux résultats par des exemples numériques.

     

Modulation of volume fraction results in different kinetic effects in Belousov-Zhabotinsky reaction confined in AOT-reverse microemulsion

The effects of volume fraction modulations on a Belousov-Zhabotinsky reaction catalyzed by the photosensitive Ru(bpy)(3)(+2) confined in an AOT microemulsion system are analyzed. Kinetic observables such as the induction time or the initial oscillation period demonstrate two different types of correlation with the volume fraction depending on whether the system is below or above the microemulsion percolation threshold. Temporal evolution also demonstrates an exponential growth of the period with the number of oscillations independent of the volume fraction of the system.     

Thermal properties of ionic systems near the liquid-liquid critical point

Isobaric heat capacity per unit volume, C(p), and excess molar enthalpy, h(E), were determined in the vicinity of the critical point for a set of binary systems formed by an ionic liquid and a molecular solvent. Moreover, and, since critical composition had to be accurately determined, liquid-liquid equilibrium curves were also obtained using a calorimetric method. The systems were selected with a view on representing, near room temperature, examples from clearly solvophobic to clearly coulombic behavior, which traditionally was related with the electric permittivity of the solvent. The chosen molecular compounds are: ethanol, 1-butanol, 1-hexanol, 1,3-dichloropropane, and diethylcarbonate, whereas ionic liquids are formed by imidazolium-based cations and tetrafluoroborate or bis-(trifluromethylsulfonyl)amide anions. The results reveal that solvophobic critical behavior-systems with molecular solvents of high dielectric permittivity-is very similar to that found for molecular binary systems. However, coulombic systems-those with low permittivity molecular solvents-show strong deviations from the results usually found for these magnitudes near the liquid-liquid phase transition. They present an extremely small critical anomaly in C(p)-several orders of magnitude lower than those typically obtained for binary mixtures-and extremely low h(E)-for one system even negative, fact not observed, up to date, for any liquid-liquid transition in the nearness of an upper critical solution temperature.