On the C0 compactness of the set of the solutions of the Yamabe equation

AbstractOn a compact Riemannian manifold, we talk again on the C0 compactness of the set of the solutions of the Yamabe equation. Among other results, we give here a very simple proof of the compactness of this set when the conformal Laplacian L is invertible, except on the standard sphere of course

Modeling and simulation of drying operation in PVC powder production line: a pneumatic dryer model

A one-dimensional steady-state model is developed to simulate drying of PVC powder in a pneumatic dryer. In this model, a two-phase continuum model was used to describe the steady-state flow of a dilute dispersed phase (wet PVC powder) and a continuous phase (humid air) through dryer. The particle scale kinetics was obtained by immersion of a fixed mass of wet PVC’s particles (cake) in a batch dense fluidized bed containing inert hot particles (glass bead). The drying kinetics was described by a shrinking core type model and integrated in pneumatic dryer model. The results show that the inlet temperature is the most important parameter in the operation. The drying rate is controlled by a two-stage process. The first stage corresponds to the surface water evaporation, and the second to the pore water evaporation

Microdialect and Group Signature in the Song of the Skylark Alauda arvensis

The Skylark Alauda arvensis is a territorial species of open landscape in which pairs settle in stable and adjacent territories during the breeding season. Due to the heterogeneity of the habitat, territories are gathered in patches spaced by a few kilometres, in which each male produces very long and complex flight songs as a part of the territorial behaviour. We showed that, in a given patch, all the males (neighbours) share some particular sequences of syllables in their songs, whereas males settled in different patches (strangers) have almost no sequences in common. Such a phenomenon is known as microdialect. To test the hypothesis that these shared sequences support a group signature, we made playback experiments with ‘‘chimeric’’ signals: songs of strangers where the sequences shared by neighbours were artificially inserted. Behavioural responses to playbacks indicated a neighbour-stranger discrimination consistent with the dear enemy phenomenon, i.e. a reduced aggression toward neighbours compared to strangers. Furthermore, the same level of responses, observed when a ‘‘chimeric’’ song and a neighbour song were broadcast, indicated that shared sequences are recognized and identified as markers of the neighbourhood identity

A Robust Linguistic Platform for Efficient and Domain specific Web Content Analysis

Web semantic access in specific domains calls for specialized search engines with enhanced semantic querying and indexing capacities, which pertain both to information retrieval (IR) and to information extraction (IE). A rich linguistic analysis is required either to identify the relevant semantic units to index and weight them according to linguistic specific statistical distribution, or as the basis of an information extraction process. Recent developments make Natural Language Processing (NLP) techniques reliable enough to process large collections of documents and to enrich them with semantic annotations. This paper focuses on the design and the development of a text processing platform, Ogmios, which has been developed in the ALVIS project. The Ogmios platform exploits existing NLP modules and resources, which may be tuned to specific domains and produces linguistically annotated documents. We show how the three constraints of genericity, domain semantic awareness and performance can be handled all together

Durtal – La Motte-Crouillon

Les travaux de construction de l’autoroute A11 Angers-Le Mans ont mis au jour un four de tuilier ou de briquetier. La sole du four était intacte. À proximité, trois zones carrelées d’environ 1,50 m de côté servaient vraisemblablement d’aires de stockage pour les matières premières. Une datation par archéomagnétisme est en cours

Direct and Inverse Results on Bounded Domains for Meshless Methods via Localized Bases on Manifolds

This article develops direct and inverse estimates for certain finite dimensional spaces arising in kernel approximation. Both the direct and inverse estimates are based on approximation spaces spanned by local Lagrange functions which are spatially highly localized. The construction of such functions is computationally efficient and generalizes the construction given by the authors for restricted surface splines on $\mathbb{R}^d$. The kernels for which the theory applies includes the Sobolev-Mat\'ern kernels for closed, compact, connected, $C^\infty$ Riemannian manifolds.Comment: 29 pages. To appear in Festschrift for the 80th Birthday of Ian Sloa

Saint-Sylvain-d’Anjou – Les Grandes Valinières

Sur le tracé de l’autoroute A11 Angers-Le Mans a été découvert puis fouillé un site rural du Ha ut Moyen Âge. Sur près de 2 ha, les vestiges se sont présentés sous forme de plus de mille structures en creux (trous de poteaux, silos, fosses, puits, sépultures, fossés). Plusieurs phases de construction en rendent l’interprétation difficile. Le site semble avoir été occupé intensivement dès l’époque mérovingienne jusqu’à la fin de la période carolingienne, avec des prolongements jusqu’au xiiie o..