Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals

We explain that the action-angle duality between the rational Ruijsenaars-Schneider and hyperbolic Sutherland systems implies immediately the maximal superintegrability of these many-body systems. We also present a new direct proof of the Darboux form of the reduced symplectic structure that arises in the `Ruijsenaars gauge' of the symplectic reduction underlying this case of action-angle duality. The same arguments apply to the BC(n) generalization of the pertinent dual pair, which was recently studied by Pusztai developing a method utilized in our direct calculation of the reduced symplectic structure.Comment: Extended version of talk at the conference "Geometry, Integrability and Quantization XIV" (Varna, June 2012), 15 page

Dynamics of abelian subgroups of GL(n, C): a structure's Theorem

In this paper, we characterize the dynamic of every abelian subgroups $\mathcal{G}$ of GL($n$, $\mathbb{K}$), $\mathbb{K} = \mathbb{R}$ or $\mathbb{C}$. We show that there exists a $\mathcal{G}$-invariant, dense open set $U$ in $\mathbb{K}^{n}$ saturated by minimal orbits with $\mathbb{K}^{n}- U$ a union of at most $n$ $\mathcal{G}$-invariant vectorial subspaces of $\mathbb{K}^{n}$ of dimension $n-1$ or $n-2$ on $\mathbb{K}$. As a consequence, $\mathcal{G}$ has height at most $n$ and in particular it admits a minimal set in $\mathbb{K}^{n}-\{0\}$.Comment: 16 page

Gender Diversity in the Governance of the Nigerian Security Market

The purpose of the paper is to identify the key determinants of stock market performance in Nigeria. More specifically, it is an attempt to determine the effect of gender diversity in leadership roles on the performance of the stock market in Nigeria. The paper uses annual data from 1980 through 2011 to model the development and performance of the Nigerian stock market through a modified Calderon-Rossell approach. Specifically, the leadership role of women in the governance of the stock market is investigated. Robust regression approach is used to avoid complications associated with the violations of the assumptions underlying the application of ordinary least squares regression. The empirical analysis shows that level of income, real exchange rate, liquidity, banking sector development, institutional quality, macroeconomic stability and gender are important determinants of stock market performance in the Nigerian stock market. Further, the results indicate that at worst, gender diversity does not play into stock market performance in Nigeria, and at its best, the appointment of women in the management of the Nigerian Stock Exchange is associated with better performance. The paper contributes to the empirical literature on the role of gender diversity and financial performance. The contribution of this paper is the inclusion of gender as an institutional factor among the determinants of stock market performance in Nigeri

Hamatum osteoblastoma

SummaryWe report the case of an osteoblastoma of the hamate bone that was successfully treated by curettage. This tumor is very rare in a carpal bone and only nine cases have been reported in the literature. Pathological examination is mandatory before treatment due to the lack of distinctive clinical and radiological features. Osteoblastomas are benign, but potentially aggressive bone tumors. Treatment of the lesion may either be a conservative “intralesional resection” or radical “wide en bloc resection”. The latter option, which has non-negligible functional consequences in the wrist, should be reserved for recurrence after curettage but may also be considered a primary immediate alternative for aggressive forms

‘Chemlali Mhassen’: New olive cultivar derived from crossbreeding program in Tunisia with high oil quality and productivity

The new olive cultivar ‘Chemlali Mhassen’ was derived from the autopollination of the Tunisian oil cultivar ‘Chemlali Sfax’. The main morphological differences between the two cultivars were observed on the endocarp (symmetry, position of maximum diameter, apex, base and surface). On the agronomic plan, this cultivar is distinguishable from the original cultivar due to its medium earliness of bearing (4 years), medium alternate bearing (0.44), early ripening, moderate sensitivity to verticillium and its high olive production per tree (7.7 kg). Concerning oil quality, ‘Chemlali Mhassen’ had higher performances than the original cultivar for oleic acid content (70 to 77 %) and lower contents for palmitic acid (9.2 to 11.5 %) and linoleic acid (9.3 to 14.7 %). Similar performances were recorded between the new and the original cultivars for rhizogenesis behavior and pollen compatibility

Heat Treatment Improvement of Dairy Products via Ohmic Heating Processes : Thermal and Hyrodynamic Effect on Fouling

Fouling and consequently cleaning of heat exchangers in the dairy industry are nowadays a significant issue still not solved for the processing of quite a large variety of products. Ohmic heating processes for food products a priori are well known to minimize the fouling phenomenon due to a totally different way of heating food by admitting the current directly in the product. Such a technology could be a good alternative to counter both fouling and cleaning aspects when pasteurizing or sterilizing dairy desserts known to generate large amounts of soil on heated surfaces. The aim of this experimental study was to investigate the respective roles of both the hydrodynamic parameters and surface electrode temperatures on the fouling phenomenon when heating a simple dairy mix designed to mimic dairy product behaviors

Leiomyosarcome du Rein: A Propos D’un Cas

Le léiomyosarcome du rein est une tumeur rare. Les auteurs ont rapporté l’observation d’un homme âgé de 45 ans, chez lequel le diagnostic d’une tumeur rétropéritoénale gauche a été posé lors de l’exploration de douleurs du flanc gauche associées à une altération de l’état général et ce par l’imagerie (Echographie et scanner abdominal). La laparotomie exploratrice avait conclu à une tumeur rénale gauche localement évoluée, une néphrectomie élargie a été réalisée et l’histologie était en faveur d’un léiomyosarcome rénal. Une récidive locale a été diagnostiquée après un recul de 6 mois. Après une nouvelle laparotomie, l’abstention était de mise devant le caractère évolué de la récidive. Le but de cette observation est double. Le premier, est la nécessité de faire un diagnostic précoce, afin d’intervenir sur une tumeur de petite taille, plus accessible à la chirurgie. Le second, est de discuter la place du traitement adjuvant, qui pourrait réduire le risque de récidive précoce.Mots clés : Léiomyosarcome, rei