Poésie Action : Variations sur Bernard Heidsieck

Variations sur l'effet Condorcet

Variations sur le théorème de Cassels, Ellison et Pfister

Artin [Ar] (1927) : Une fraction rationnelle f ∈ R(X1, . . . , Xn) positive sur R est une somme de carrés. Pfister [Pf] (1967) : c’est une somme de 2 carrés. En particulier pour n = 2, f ∈ 4 R(X,Y ). Cassels, Ellison, Pfister [CEP] (1971) : 4 carrés sont vraiment nécéssaires (i.e. le nombre de Pythagore de R(X, Y ) est 4, car le polynôme de Motzkin 1 + XY 4 + XY 2 − 3XY , positif ou nul, ne s’é...

Variations sur un THème de Aldama et Shelah

We study the definability of certain subgroups of a group G that does not have the independence property. If a (type) definable subset X of an elementary extension G of G has property P , we call its trace X∩G over G an externally (type) definable P set. We show the following. Centralisers of subsets of G are externally definable subgroups. Cores of externally definable subgroups and iterated c...

Action de diverses preparations denommees (vitamin b1) sur les cultures de Leishmania tropica

Bernard Wood

Photo: Courtesy of Bill Kimbel. The benefit could also apply to amyotrophic lateral sclerosis (ALS). While the mechanism by which the gene therapy triggers these beneficial effects remains to be elucidated, this unexpected finding suggests that even gene therapy for rare specific gene defects may in some cases have broader applicability. Recent developments have broadened the scope of gene ther...