Irrationality proofs à la Hermite

“origami” Proofs of Irrationality of Square Roots

If somehow you have not yet seen that proof, please ask someone, for example me, to show it to you. (Or maybe look at [2]. Well, meanwhile you can also extract it as a special case (substitute a = b and then n = 1) of what appears below in Section 2.) I learned this proof from Yoram Sagher who had learned it from John Conway. While we can consider it merely as a geometric realization of one of ...

Contribution à l'étude de la maladie athéromateuse

Algorithmes de calcul de la réduction de Hermite d'une matrice à coefficients polynomiaux

Résumé : Nous étudions dans cet article des algorithmes de calcul de la réduction de Hermite d'une matrice a coefficients polynomiaux, qui évitent l'explosion de la taille des objets intermédiaires et ont une bonne complexité séquentielle. Le deuxième et le troisième algorithmes généralisent la méthode des sous-résultants pour le calcul du pgcd de deux polynomes. Le dernier de ces algorithmes s...

Médecine à la Molière.

Of Moliere's thirty six plays, seven deal, to a greater or lesser extent, with medicine; the medicine as practiced in Paris during the reign of Louis XIV. In these days, Moliere satirises the recalcitrant conservatism of the Paris medical faculty. It is, however, an informed satirisation. This paper explores Moliere's motives and attempts to place Moliere's medical plays against a broad canvas ...

Death à la carte

Delegates arrived at the hotel on a rainy Sunday evening where they were immediately made welcome and encouraged to relax over dinner while chatting to other EWCD (European Workshop on Cell Death) participants. The EWCD is a bi-annual conference that focuses on all aspects of cell death. Each conference is held in a different unique location, with this year’s being no exception. The six-day mee...