65 research outputs found

    Separable solutions of quasilinear Lane-Emden equations

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    For 0<p−1<q0 < p-1 < q and ≥=±1\ge=\pm 1, we prove the existence of solutions of -\Gd_pu=\ge u^q in a cone CSC_S, with vertex 0 and opening SS, vanishing on \prt C_S, under the form u(x)=|x|^\gb\gw(\frac{x}{|x|}). The problem reduces to a quasilinear elliptic equation on SS and existence is based upon degree theory and homotopy methods. We also obtain a non-existence result in some critical case by an integral type identity.Comment: To appear in Journal of the European Mathematical Societ

    An Analysis of the Performances of the CasEN Named Entities Recognition System in the Ester2 Evaluation Campaign

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    8 pagesIn this paper, we present a detailed and critical analysis of the behaviour of the CasEN named entity recognition system during the French Ester2 evaluation campaign. In this project, CasEN has been confronted with the task of detecting and categorizing named entities in manual and automatic transcriptions of radio broadcastings. At first, we give a general presentation of the Ester2 campaign. Then, we describe our system, based on transducers. Next, we depict how systems were evaluated during this campaign and we report the main official results. Afterwards, we investigate in details the influence of some annotation biases which have significantly affected the estimation of the performances of systems. At last, we conduct an in-depth analysis of the effective errors of the CasEN system, providing us with some useful indications about phenomena that gave rise to errors (e.g. metonymy, encapsulation, detection of right boundaries) and are as many challenges for named entity recognition systems

    Accès à une VAE active pour les ouvriers d’Etablissement de Services et d’Aide par le Travail Contribution à l’étude d’un accompagnement coopératif auprès de personnes en situation de handicap

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    French Language Document courtesy of CTNERHI.Acc_C3_A8s__C3_A0_une_VAE_active_pour_les_ouvriers_d__C3_A9tablissements_et_services_d_aide_par_le_travail___contribution__C3_A0_l__C3_A9tude.pdf: 1927 downloads, before Oct. 1, 2020
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