Invariance d'un convexe fermé par un semi-groupe associé à une forme non-linéaire

The invariance of a closed and convex set under a semigroup S(t) associated with a nonlinear form is investigated. Other properties of increase and domination of the semigroup S(t) are also derived. Examples are also given to demonstrate the power of the theoretical results

Interaction prediction between groundwater and quarry extension using discrete choice models and artificial neural networks

Groundwater and rock are intensively exploited in the world. When a quarry is deepened the water table of the exploited geological formation might be reached. A dewatering system is therefore installed so that the quarry activities can continue, possibly impacting the nearby water catchments. In order to recommend an adequate feasibility study before deepening a quarry, we propose two interaction indices between extractive activity and groundwater resources based on hazard and vulnerability parameters used in the assessment of natural hazards. The levels of each index (low, medium, high, very high) correspond to the potential impact of the quarry on the regional hydrogeology. The first index is based on a discrete choice modelling methodology while the second is relying on an artificial neural network. It is shown that these two complementary approaches (the former being probabilistic while the latter fully deterministic) are able to predict accurately the level of interaction. Their use is finally illustrated by their application on the Boverie quarry and the Tridaine gallery located in Belgium. The indices determine the current interaction level as well as the one resulting from future quarry extensions. The results highlight the very high interaction level of the quarry with the gallery

Introduction. Dedicated to Philippe Bénilan

Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasTRUEpu

Cornaline de l’Inde

Les sites archéologiques de la vallée de l'Indus en témoignent : l'artisanal des perles en cornaline remonte à plusieurs millénaires. De nos jours, il se pratique encore dans quelques rares endroits comme en Inde dans la ville de Cambay (Gujarat) qui offre au chercheur une occasion unique de construire des référentiels. Dans ce but, des méthodes d'enquête appropriées ont été élaborées. Elles aboutissent à des régies interprétatives portant sur les processus techniques, les habiletés de taille, le techno-système. Il s'ensuit une interprétation des perles de l'Indus et de la Mésopotamie en termes de production et de réseaux de distribution. Interprétations fondées qui permettent de nouvelles hypothèses sur la fonction de certaines perles et sur les conditions de leur apparition. L'ouvrage est accompagné d'un cédérom (Mac-PC). La totalité des constructions scientifiques y est présentée selon un mode d'édition qui permet une lecture rapide des résultats ainsi que la consultation d'une très importante base de données (photos, films, graphiques, tableaux).The archaeological sites of the Indus Valley show that the craft of carnelian bead-making goes back several thousands of years. 'Ibday it is still racticed in a few rare places, such as the Indian city of Cambay (Gujarat), ofiering a unique opportunity for researchers to construct a modern reference base. With this objective in mind, appropriate investigative methods were developed. They have resulted in interpretative rules relating to technical processes, knapping skills, and the teclmo-system. These rules enable us to interpret the beadsfrom Indus and Mesopotamia in terms of production and distribution networks. These welltfounded interpretations allow the formulation of new hypotheses concerning thefitnction of certain beads and the conditions of their appearance. This book comes with a PC /Mac compatible CD-Rom. Scientific constntcts are presented in aformalized wayfin quick access to the main results as well as easy consultation of the large-size scientific data base (photos,films, graphics)