DUMAS, André, Nommer Dieu

The Jean Dumas Method

Jean Dumas (Fig. 1) published his combustion method in Paris back in 1848. This makes the method considerably older than Kjeldahl digestion. While researching the composition of natural oils, Dumas tried combusting his samples, initially to analyse the carbon and hydrogen contained therein. Combustion therefore makes it possible to analyse multiple parameters, while Kjeldahl digestion is only s...

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...

Dumas : Instability Cycles in Fluid Bramson Networks

| In 1], Bramson analyzed a family of FIFO, two-station queueing networks, modelled by a Markov process, and found unexpected cases of transience. We further investigate the instability dynamics under FIFO discipline by making a complete description of diverging paths exhibited by the uid models of Bramson networks. Usually associated with transience of the original, Markovian models, such path...