15/2/20, M. Poincaré à Thionville [avec à sa droite la grande-duchesse de Luxembourg, estrade située place du marché, cérémonie de remise de la croix d'honneur à la ville] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 58025

15/2/20, M. Poincaré à Thionville [avec à sa droite la grande-duchesse de Luxembourg, place du marché, défilé de jeunes lorraines en costume, cérémonie de remise de la croix d'honneur à la ville] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 58027

16/2/20, M. Poincaré au cimetière de Verdun : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 58030

16/2/20, M. Poincaré au cimetière de Verdun : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 58031

16/2/20, M. Poincaré à Verdun : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 58033

La science et l'hypothèse / Henri Poincaré

Collection : Les sillons littéraires ; 7

Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.

Integrability of a linear center perturbed by a fifth degree homogeneous polynomial

In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.

Multicointegration, polynomial cointegration and I(2) cointegration with structural breaks. An application to the sustainability of the US external deficit

In this paper we model the multicointegration relation, allowing for one structural break. Since multicointegration is a particular case of polynomial or I(2) cointegration, our proposal can also be applied in these cases. The paper proposes the use of a residualbased Dickey-Fuller class of statistic that accounts for one known or unknown structural break. Finite sample performance of the proposed statistic is investigated by using Monte Carlo simulations, which reveals that the statistic shows good properties in terms of empirical size and power. We complete the study with an empirical application of the sustainability of the US external deficit. Contrary to existing evidence, the consideration of one structural break leads to conclude in favour of the sustainability of the US external deficit.

Algorithm to determine the intersection curves between bezier surfaces by the solution of multivariable polynomial system and the differential marching method

The determination of the intersection curve between Bézier Surfaces may be seen as the composition of two separated problems: determining initial points and tracing the intersection curve from these points. The Bézier Surface is represented by a parametric function (polynomial with two variables) that maps a point in the tridimensional space from the bidimensional parametric space. In this article, it is proposed an algorithm to determine the initial points of the intersection curve of Bézier Surfaces, based on the solution of polynomial systems with the Projected Polyhedral Method, followed by a method for tracing the intersection curves (Marching Method with differential equations). In order to allow the use of the Projected Polyhedral Method, the equations of the system must be represented in terms of the Bernstein basis, and towards this goal it is proposed a robust and reliable algorithm to exactly transform a multivariable polynomial in terms of power basis to a polynomial written in terms of Bernstein basis .

Uma reconstrução racional do programa de pesquisa do racionalismo neoclássico: os subprogramas do convencionalismo/pragmatismo (Poincaré) e do realismo estrutural convergente (Duhem)

O objetivo deste artigo é proporcionar uma reconstrução racional do programa de pesquisa do racionalismo neoclássico como um substituto para o programa do racionalismo clássico. O programa do racionalismo neoclássico se desenvolve pela elaboração de uma nova concepção de ciência que a demarque da metafísica, com a definição da ciência como representação em lugar de explicação. Esse programa é constituído de três subprogramas: o convencionalismo/pragmatismo de Poincaré, o realismo convergentista de Duhem e o empirismo lógico.

A teoria dinâmica do conhecimento de Duhem: um termo médio entre a concepção metafísica clássica da ciência e a concepção do convencionalismo/pragmatismo (Poincaré)

O objetivo é propor uma reconstrução racional da concepção da ciência de Duhem, por meio do recurso da metodologia da teoria da ciência, como uma teoria normativa da dinâmica do conhecimento. Essa reconstrução ajuda a estabelecer que Duhem não pode ser classificado como um convencionalista/pragmatista, como sugere a interpretação-padrão, e, além disso, que Duhem almeja construir uma concepção que seja um termo médio entre a concepção metafísica clássica e a concepção do convencionalismo/pragmatismo. A estratégia metodológica para construir esse termo médio é a proposta de um realismo estrutural e convergente. Duhem substitui o sujeito transcendental dos clássicos por uma teoria transcendental a ser alcançada por um processo dinâmico.

7-6-20, Hôtel de Ville [de Paris, hommage aux artisans de la victoire, présence de MM. Clémenceau, Poincaré, Foch, etc.] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 59585

7-6-20, Hôtel de Ville [de Paris, hommage aux artisans de la victoire, présence de MM. Clémenceau, Poincaré, Foch, etc.] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 59586

7-6-20, Hôtel de Ville [de Paris], arrivée de M. Poincaré : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 59594