Éditeur(s) : HAL CCSD AIMS
Résumé : International audience
Mathematical Biosciences and Engineering

hal-01313457
https://hal.archives-ouvertes.fr/hal-01313457

Éditeur(s) : HAL CCSD
Résumé : International audience
The French ministry of education introduced in 2005 the « organized returning of knowledge » (ROC) in the French baccalauréat as a tool to render more efficient the mathematical education at the end of secondary school. This article is based on an analysis of the ROC of the 2006 Antilles-Guyane baccalauréat, by the anthropological approach to didactics, which leads to the construction of its mathematical site. Through this analysis, some features of the ROC are discussed, such as its consistency (including from the view point of the institution) and the transparency of this evaluation.
L’introduction des restitutions organisées de connaissances (ROC) dans les épreuves du baccalauréat, à partir de 2005, est une réponse de l’institution à la volonté de rendre plus efficace l’enseignement en cycle terminal. Cet article s’appuie sur l’analyse de la ROC du sujet Antilles Guyane session 2006 par une approche anthropologique en proposant la construction de son site mathématique. Au travers de cet exemple sont interrogées certaines caractéristiques du concept ROC comme sa cohérence (notamment institutionnelle) et la transparence de cette évaluation.
Annales de didactique et de sciences cognitives

hal-01530860
https://hal.univ-antilles.fr/hal-01530860

Éditeur(s) : HAL CCSD Hong Kong : World Academic Publishing
Résumé : International audience
In automatic image analysis, when using natural images, it is important to select the elements in a scene that can lead to correct characterization. Extraneous elements can result in poor values in the parameter evaluation for recognition. Irrelevant elements also increase the processing time, because they can be used incorrectly by the algorithms for characterization or identification. The goal of this paper is to offer identification algorithms and characterizations that will allow effective recognition. We base our procedure on the photographer focus areas to identify those relevant elements in a scene. In this work, we propose a procedure to select the relevant shape from natural images. The treatment uses focal depth with edge detectors. The resulting points are combined with a region partition to obtain relevant shapes.
ISSN: 2309-0650

hal-01278550
https://hal.archives-ouvertes.fr/hal-01278550

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
Journal of Mathematical Analysis and applications

hal-00699228
https://hal.archives-ouvertes.fr/hal-00699228

Éditeur(s) : HAL CCSD
Résumé : International audience
We show that the properties of dense subdifferentiability and of trustworthiness are equivalent for any subdifferential satisfying a small set of natural axioms. The proof relies on a remarkable property of the subdifferential of the inf-convolution of two (non necessarily convex) functions. We also show the equivalence of the dense subdifferentiability property with other basic properties of subdifferentials such as a weak∗ Lipschitz Separation property, a strong Compact Separation property and a Minimal property for the analytic approximate subdifferential of Ioffe.
Serdica. Mathematical Journal

hal-00694603
https://hal.archives-ouvertes.fr/hal-00694603

Éditeur(s) : Edinburgh, London
Siècle(s) traité(s) : 19
Provenance : Université Caen Normandie. Service commun de la documentation
Permalien : http://www.manioc.org/patrimon/CAE19033_4
CAE19033_4

Éditeur(s) : HAL CCSD American Mathematical Society
Résumé : International audience
We propose to study fragmentability of set-valued mappings not only for a given single mapping, but also for a sequence of mappings associated with the initial one. It turns out that this property underlies several variational principles, such as for example the Deville-Godefroy-Zizler variational principle and the Stegall variational principle, by providing a common path for proof.
ISSN: 0002-9939

hal-00698981
https://hal.archives-ouvertes.fr/hal-00698981

Éditeur(s) : HAL CCSD
Résumé : In this paper we define the $p$-density of a finite subset $Dsubsetma{N}^r$, and show that it gives a good lower bound for the $p$-adic valuation of exponential sums over finite fields of characteristic $p$. We also give an application: when $r=1$, the $p$-density is the first slope of the generic Newton polygon of the family of Artin-Schreier curves associated to polynomials with their exponents in $D$.
https://hal.archives-ouvertes.fr/hal-00551478

hal-00551478
https://hal.archives-ouvertes.fr/hal-00551478
ARXIV : 0812.3382

Éditeur(s) : Paris : [s.n.]
Résumé : Contient "Livre IV : Pérou (suite)" et "Livre V : Suite de l'Amérique méridionale, Tierra-Firme, Rio de la Plata, Guyane, Histoire naturelle"
Siècle(s) traité(s) : 18
Droits : Domaine public
Provenance : Archives territoriales de Guyane
Permalien : http://www.manioc.org/patrimon/GAD12012
GAD12012

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
The main purpose of this paper is to propose a deterministic mathematical model with control variable which describes the spatiotemporal spread of emph{Salmonella} within a laying flock. This model assume an indirect transmission of the disease within the flock through the bacteria density in the environment. We provide a mathematical analyze of the null controllability of the model: we begin to construct a family of solutions to the linear null-controllability problem using the the Carleman inequality. Then, by a generalized Leray-Shauder fixed point theorem, we show that one can bring the system to rest at final time T.
ISSN: 0307-904X

Droits : info:eu-repo/semantics/OpenAccess
hal-01683267
https://hal.univ-antilles.fr/hal-01683267
https://hal.univ-antilles.fr/hal-01683267/document
https://hal.univ-antilles.fr/hal-01683267/file/APM-S-13-02490-1.pdf

Éditeur(s) : Pêche thonière et dispositifs de concentration de poissons, Caribbean-Martinique, 15-19 Oct 1999 15-19 octobre 1999
Résumé : Since 1983, the research on the optimal conception of FADs in Martinique was particularly focused on the improvement of their resistance to different maritime or human aggressions. Following several experimentations made with different types of fads, the choice was brought on light devices anchored in 1 500 to 2 000 m depths and an experimental approach was conducted to identify the causes of loss of fads and to attempt to modelize their hydrodynamic behaviour with relation to the sea conditions. Three mathematical models are used to simulate the fad behaviour under current action and swell, and to estimate the forces exerted on each part of the device. The results of this study are presented. The fad design used nowadays for the development of pelagic fishing in Martinique, recommendations for maintenance and preservation of the fads are also proposed.Original Abstract: De 1983 a 1994, les recherches sur une conception optimale des DCP de la Martinique ont ete plus particulierement orientees sur l'amelioration de leur resistance aux diverses agressions marines ou humaines. Suite aux multiples experimentations menees avec differents types de DCP, le choix de systemes legers ancres par fonds de 1 500 a 2 000 m a conduit a une demarche scientifique comprenant a la fois une analyse des causes de perte des DCP et la modelisation de leur comportement hydrodynamique en fonction des conditions de mer. Les resultats de ce programme ainsi que le plan du DCP retenu pour le developpement de la peche des poissons pelagiques en Martinique sont presentes. Des recommandations pour la maintenance et la preservation des dispositifs sont egalement proposees.

Droits : Ifremer
http://archimer.ifremer.fr/doc/00042/15287/12673.pdf
http://archimer.ifremer.fr/doc/00042/15287/

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
ISSN: 0096-3003

hal-01159713
https://hal.archives-ouvertes.fr/hal-01159713

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
We discuss various methods of regularization of singular differential problems. Their common point is that we use the flexibility of the theories of nonlinear generalized functions for adapting the regularization to the singularity of the problem. We particularly underline the relationship between the generalized solutions and those classical or distribution, when they exist, giving a general result for the case of the regularization of data.
Journal of Mathematical Analysis and applications

hal-01529550
https://hal.univ-antilles.fr/hal-01529550
DOI : 10.1016/j.jmaa.2008.11.077

Éditeur(s) : HAL CCSD
Résumé : International audience
The mathematical site of an exercise or a theorem is a useful tool which helps to organize its study, by putting into a hierarchy the various elements (substratum, objects, techniques, technologies) relevant to describe its ecosystem. These characteristics of the mathematical site turn it into a help for the pupil or student (within the framework of an evaluation in mathematics), what we show by the analysis in term of site of a subject given in the competitive ex-amination for secondary school teaching (CAPES) in mathematics. Furthermore, by revealing the organization of a mathematical concept, we show that the site can be a tool for professional training of teachers of mathematics, on the example of the characterization of a constant function on an interval by its derivative.
Le site mathématique local d’un énoncé d’exercice ou d’un théorème de cours se compose d’un système d’êtres mathématiques (objets, techniques, technologies…) et de relations, enrichis par un substrat, formé d’éléments non mathématisables dans l’institution considérée, dévoilant l’organisation de la question. Ces caractéristiques font que le site local fonctionne comme un écosystème, permettant la compréhension d’activités mathématiques de classe, d’évaluation, ce que nous montrons par l’analyse d’un dossier d’oral 2 du CAPES externe de mathématiques. Ce faisant, il devient un outil du professeur pour guider les élèves dans l’étude d’une question. De plus, comme il révèle les organisations locales en mathématiques, le site peut être utilisé comme un outil de formation professionnelle d’enseignants. Par exemple, il permet de questionner les progressions scolaires ou universitaires reçues, ce que nous discutons sur le cas de la caractérisation d’une fonction constante sur un intervalle par sa dérivée.
Repères IREM

hal-01530861
https://hal.univ-antilles.fr/hal-01530861

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
We show that a new definition of the asymptotic structure of the (C,E,P)-algebras (which are a refinement of the Colombeau Generalized Algebras) allows to define a natural topology on them. Furthermore, this topology can be mixed with functorial aspects of the construction in order to give extension principles, which give powerful tools to solve singular differential problems in this framework.
ISSN: 0022-247X

hal-01529551
https://hal.univ-antilles.fr/hal-01529551
DOI : 10.1016/j.jmaa.2009.05.046

Éditeur(s) : HAL CCSD Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad
Résumé : International audience
We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et alii, we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D' () into G (). We show that this embedding is equal to the one obtained with local and sheaf arguments by M. Grosser et alii, this giving various equivalent technics to embed D'() into G ().
ISSN: 1450-5444

hal-01530751
https://hal.univ-antilles.fr/hal-01530751
https://hal.univ-antilles.fr/hal-01530751/document
https://hal.univ-antilles.fr/hal-01530751/file/NS04_25.PDF

Éditeur(s) : HAL CCSD
Résumé : International audience
Computers & Mathematics with Applications

hal-01683259
https://hal.univ-antilles.fr/hal-01683259
DOI : 10.1016/j.camwa.2011.03.025

Éditeur(s) : Londres
Siècle(s) traité(s) : 15
Provenance : Archives départementales de Guadeloupe
Permalien : http://www.manioc.org/patrimon/ADG18250
ADG18250

Éditeur(s) : HAL CCSD
Résumé : International audience
This paper is concerned with a null controllability problem for nonlinear parabolic equations appearing in mathematical biology. We consider a system of two equations with a nonlocal nonlinearity, in a bounded domain Ω of ℝN0, N0 being a positive integer sufficiently small. Such models can be used in the context of dynamics of biological systems to describe the migration of population (of bacteria in a container). Our aim is to find a control common to both equations, which solves the null controllabillity of the studied system under constraints on the state. A similar control problem has recently been addressed for the Laplace operator, so the present paper extends those results.
2017 Proceedings of the Conference on Control and its Applications
Pittsburgh, United States

Droits : http://hal.archives-ouvertes.fr/licences/copyright/
hal-01567339
https://hal.archives-ouvertes.fr/hal-01567339
DOI : 10.1137/1.9781611975024.3

Éditeur(s) : HAL CCSD
Résumé : International audience
The main purpose of this note is to propose viscosity approximation methods which amount to selecting a particular fixed-point of a given nonexpansive self mapping in a general Hilbert space. The connection with the selection principles of Attouch, in the context of convex minimization and monotone inclusion problems, is made and an application to a semi-coercive elliptic problem is then stated. Key words: nonexpansive mappings, fixed-points, monotone operators, iterative methods, convex optimization, selection, penalty ...
Lecture notes in economics and mathematical systems

hal-00776623
https://hal.univ-antilles.fr/hal-00776623