Sur les formules qui donnent les expressions de
Note sur quelques théorèmes relatifs aux polyèdres et spécialement sur l'égalité de ceux qui ont leurs faces respectivement égales
Problèmes combinatoires
Théorèmes nouveaux sur les fractions périodiques. Nombre exact des chiffres de la période pour toute fraction ordinaire donnée, dont le dénominateur ne contient pas de facteurs premiers plus grands que 101
Théorèmes sur les figures planes ou sphériques d'égal périmètre ou d'égale surface. Démonstrations nouvelles et élémentaires
Éléments de géométrie, par Eugène Catalan, répétiteur à l'École polytechnique
Sur la recherche des limites des racines d'une équation, et sur la détermination des racines commensurables
Calcul sous-différentiel et calcul des variations en dimension infinie
Espérances conditionnelles d'intégrandes semi-continus
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
Post-newtonian generation of gravitational waves
General relativistic celestial mechanics of binary systems. II. The post-newtonian timing formula
Dependent defaults and losses with factor copula models
We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with paircopula constructions, and nest many standard models as special cases. The loss distribution of a portfolio of contingent claims can be exactly and efficiently computed when individual losses are discretely supported on a finite grid. Numerical examples study the key features affecting the loss...
Optimality conditions for problems with set-valued objectives.
How humans fly
This paper is devoted to the general problem of reconstructing the cost from the observation of trajectories, in a problem of optimal control. It is motivated by the following applied problem, concerning HALE drones: one would like them to decide by themselves for their trajectories, and to behave at least as a good human pilot. This applied question is very similar to the problem of determining what is minimized in human locomotion. These starting points are the reasons for the particular classes...
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