Consensus-halving via Theorems of Borsuk-Ulam and Tucker

In this paper we show how theorems of Borsuk-Ulam and Tucker can be used to construct a consensus-halving: a division of an object into two portions so that each of n people believe the portions are equally split. Moreover, the division takes at most n cuts, which is best possible. This extends prior work using methods from combinatorial topology to solve fair division problems. Several applications of consensus-halving are discussed.

Le concept de vieillissement différentiel : Son utilisation dans les études de santé au travail

Dans cet article, les auteurs se proposent, après avoir esquissé leur méthode de calcul du vieillissement, d'explorer les raisons de ce calcul et de donner un exemple de son utilisation, à partir d'une recherche faite en milieu industriel.Differential aging means the difference between chronological and biological age ; this concept is one of the best general health level indicators for individuals and groups, being both a diagnostic and a research instrument for the study of environmental sources of health variations. In an industrial setting, our results indicate strong over-aging in the case of unskilled manual workers, which might be related to lack of interest in the mechanical, repetitive tasks at work and to possible alienation of this employee category