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Une note sur les contractions dans les polygones orthogonaux

Maire, F., Une note sur les contractions dans les polygones orthogonaux, Discrete Mathematics 111 (1993) 3677371. We define a contraction for orthogonal polygons, and show that such a polygon can be transformed into a rectangle by a sequence of contractions. This result gives a new proof of the orthogonal art gallery theorem. We present also a property of the maximal rectangles contained in ort...

Note sur la sémantique des structures de contrôle

Note sur la Suppression des Étiquettes en Programmation

A Note on Signs of Kloosterman Sums (une Note Sur Les Signes Des Sommes De Kloosterman)

We prove that the sign of Kloosterman sums Kl(1, 1;n) changes infinitely often as n runs through the square-free numbers with at most 15 prime factors. This improves on a previous result by Sivak-Fischler who obtained 18 instead of 15. Our improvement comes from introducing an elementary inequality which gives lower and upper bounds for the dot product of two sequences whose individual distribu...

On hybrid control of complex systems: a survey Sur la commande hybride des systmes complexes : tat de l'art

In this paper a brief overview of hybrid control systems is given and an introduction to several approaches in hybrid systems research with an extended list of references is presented. Emphasis is put on Petri net approaches to hybrid control. RESUME. L'objectif de cet article est de prŽsenter un Žtat de l'art des travaux relatifs au contr™le-commande des systmes hybrides. Plusieurs approches ...