Pseudo Focal Points Along Lorentzian Geodesics and Morse Index

Given a Lorentzian manifold (M,g), a geodesic gamma in M and a timelike Jacobi field Y along gamma, we introduce a special class of instants along gamma that we call Y-pseudo conjugate (or focal relatively to some initial orthogonal submanifold). We prove that the Y-pseudo conjugate instants form a finite set, and their number equals the Morse index of (a suitable restriction of) the index form. This gives a Riemannian-like Morse index theorem. As special cases of the theory, we will consider geodesics in stationary and static Lorentzian manifolds, where the Jacobi field Y is obtained as the restriction of a globally defined timelike Killing vector field.

Adsorption of di-2-pyridyl ketone salicyloylhydrazone on Amberlite XAD-2 and XAD-7 resins: Characteristics and isotherms

The adsorption of DPKSH onto Amberlite XAD-2 (styrene resin) and XAD-7 (acrylic ester resin) has been investigated, at (25 +/- 1)degrees C and pH 4.7. The experimental equilibrium data were fitted to the Langmuir, Freundlich, and Dubinin-Radushkevich (D-R) models. These three models provide a very good fit for both resins and the respective constants K(L), K(F), and K(DR) were calculated. For the same DPKSH concentration interval, the minimum time of contact for adsorption maximum at XAD-7 was smaller than at XAD-2 and the maximum amount of DPKSH adsorbed per gram of XAD-2 is smaller than at XAD-7. The investigation indicates that the mean sorption energy (E) characterizes a physical adsorption and the surfaces of both resins are energetically heterogeneous. The constants obtained in these studied systems were correlated and compared with those obtained for the silica gel/DPKSH system. (C) 2008 Published by Elsevier Inc.

Spectrophotometric determination of zinc in pharmaceutical and biological samples with di-2-pyridyl ketone benzoylhydrazone: A simple, fast, accurate and sensitive method

A simple, fast, accurate, and sensitive spectrophotometric method was developed to determine zinc(II). This method is based on the reaction of Zn(II) with di-2-pyridyl ketone benzoylhydrazone (DPKBH), at pH=5.5 and 50% (v/v) ethanol. Beers law was obeyed in the range 0.020-1.82 mu g mL(-1) with a molar apsorptivity of 3.64 x 10(4) L mol(-1) cm(-1), and a detection limit (3) of 2.29 mu g L-1. The action of some interfering ions was verified and the developed method applied to pharmaceutical and biological samples. The results were then compared with those obtained by using a flame atomic absorption technique.

L’évolution du français par rapport à l’histoire et en comparaison avec celle du suédois

Une langue est comme un être vivant. Elle porte les traces des avis, des sentiments, de la joie et des déceptions de nos ancêtres. En même temps elle reflète les toutes tous derniers modes de vie et la manière de penser et d’agir dans la vie quotidienne. Ce sont sa grammaire, ses mots, ses proverbes et ses citations qui en témoignent. Ses sons soulignés par l’intonation et la prosodie nous laissent presque deviner l’esprit de vitalité, de mélancolie ou d’élégance de la langue et de ces locuteurs. Mais est-ce qu’il est possible de trouver aussi les traces des événements historiques et sociaux dans l’évolution d’une langue? Cette question est centrale dans ce mémoire qui suit l’évolution du français à partir du latin parlé dans l’Antiquité et en comparaison avec celle d’autres langues notamment celle du suédois.

L’insegnamento online delle lingue all’Università del Dalarna (Svezia) : Esperienze di collaborazione internazionale e prospettive future

This paper describes the on-line teaching strategies for languages adopted at the University of Dalarna (Sweden) and the experience of a collaboration carried out with the Language Centre of the University of Parma that led to the administration of an international course in Italian for specific purposes. According to the results of its first administration, the promotion of advanced forms of "virtual mobility" together with the prospective of a joint degree in Italian language and culture will be outlined.