André Vitalis, L’Incertaine Révolution numérique

Web 2.0, la révolution connectique

RÉSUMÉ. Le web 2.0 a longtemps été considéré comme une entité aux contours flous, à michemin entre un phénomène social et un essor technologique. La relation complexe entre l’aspect technique et les usages qui découlent de ce writable web a engendré l’émergence de termes polysémiques tels que le peer-to-peer dont l’usage premier dans le vocable quotidien ne représente que la partie émergée d’un...

Analyse numérique

A conjecture of Yves André . ∗

The introduction to [2] (and references contained therein) contains a comprehensive exposition of terminology and notations relative to this conjecture. Since we use the same terminology and notations, we do not reproduce them here. The introduction to [2] also contains an exposition of results on this conjecture obtained before the article [3] came out. In this article we prove the following t...

François Bach and André Herbelin

Reals which Compute Little André

We investigate combinatorial lowness properties of sets of natural numbers (reals). The real A is super-low if A′ ≤tt ∅′, and A is jump-traceable if the values of {e}A(e) can be effectively approximated in a sense to be specified. We investigate those properties, in particular showing that super-lowness and jump-traceability coincide within the r.e. sets but none of the properties implies the o...