Catellas/Georges Leroy, 750 cm3 [le side-car n° 25 au départ de la course Paris-Reims-Paris] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54754

Lecomte sur Rover, 500 cmc [course motocycliste Paris-Reims-Paris, side-car, 6 juillet 1919] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54746

Delaune sur BSA, 750 cmc [course motocycliste Paris-Reims-Paris, 6 juillet 1919] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54742

The average inter-crossing number of equilateral random walks and polygons

In this paper, we study the average inter-crossing number between two random walks and two random polygons in the three-dimensional space. The random walks and polygons in this paper are the so-called equilateral random walks and polygons in which each segment of the walk or polygon is of unit length. We show that the mean average inter-crossing number ICN between two equilateral random walks of the same length n is approximately linear in terms of n and we were able to determine the prefactor of the linear term, which is a = (3 In 2)/(8) approximate to 0.2599. In the case of two random polygons of length n, the mean average inter-crossing number ICN is also linear, but the prefactor of the linear term is different from that of the random walks. These approximations apply when the starting points of the random walks and polygons are of a distance p apart and p is small compared to n. We propose a fitting model that would capture the theoretical asymptotic behaviour of the mean average ICN for large values of p. Our simulation result shows that the model in fact works very well for the entire range of p. We also study the mean ICN between two equilateral random walks and polygons of different lengths. An interesting result is that even if one random walk (polygon) has a fixed length, the mean average ICN between the two random walks (polygons) would still approach infinity if the length of the other random walk (polygon) approached infinity. The data provided by our simulations match our theoretical predictions very well.

Preparació d'un organocatalitzador dendrimèric

Els organocatalitzadors, en quantitats subestequiomètriques, són especies orgàniques que permeten accelerar reaccions químiques. Per tal d’aconseguir una química més sostenible, un dels reptes dels científics del nostre temps, és poder recuperar aquests catalitzadors de forma fàcil, tant per poder-los reutilitzar (sobre tot si són cars) com per simplificar els processos de purificació dels productes desitjats. En el treball que es presenta ens hem centrat en la preparació d’un organocatalitzador dendrimèric amb grups cinchonina a la seva superfície. Els derivats de cinchona són barats i comercialment assequibles i a més s’han emprat en moltes reaccions com organocatalitzadors. Els dendrímers, son unes molècules arborescents que poden ser emprades com a suports de catalitzadors. Concretament els dendrímers fosforats són solubles en solvents orgànics convencionals, però es poden precipitar i recuperar fàcilment, afegint grans quantitats de pentà a la mostra. Aquesta propietat els fa uns bons suports fàcilment recuperables per a catalitzadors, que poden actuar en condicions homogènies. Per portar a terme el nostre objectiu, hem hagut de modificat l’estructura de la cinchonina a través del seu grup vinil, utilitzant una reacció radicalària amb un tiol alifàtic. Aquest tiol a més aportava a la seva estructura un grup fenol que ens ha servit per ancorar aquesta molècula a un dendrímer fosforat de primera generació, com es pot veure a la figura. Per optimitzar les condicions de reacció, s’ha utilitzat inicialment una molècula model amb grups funcionals similars als de la superfície del dendrímer que ens interessava. Tots els compostos nous preparats en aquest treball que contenen l’estructura de cinchonina han estat assajats com a catalitzadors en una reacció de Michael. S’ha pogut veure que quan actuen en heterofase els temps de reacció són molt llargs comparats amb la cinchonina model, però quan ho fan en fase homogènia, són molt actius i es poden recuperar de forma pràcticament quantitativa.

Blauseur sur Harley-Davidson, 1000 cmc [course motocycliste Paris-Reims-Paris, 6 juillet 1919] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54736

[Paul] Péan, sur Peugeot [course Paris-Reims-Paris, moto 6 HP avec side-car, 6 juillet 1919] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54734

Pasola sur A.J. S. [le side-car n° 31 au départ de la course Paris-Reims-Paris] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 54756

Photoletter to the editor: Response of linear porokeratosis to photodynamic therapy in an 11-year-old girl.

Porokeratoses are a group of different entities that belong to the skin keratinization disorders. From the histological point of view the main and common characteristic of these disorders is the presence of compact parakeratotic columns known as cornoid lamellae. All varieties should be carefully treated and followed-up because of the risk of developing malignant epithelial tumors. We report the successful response to photodynamic therapy (PDT) in a pediatric patient diagnosed with linear porokeratosis.

Kuranishi type Moduli Spaces for proper CR submersions fibering over the circle

Kuranishi's fundamental result (1962) associates to any compact complex manifold X&sub&0&/sub& a finite-dimensional analytic space which has to be thought of as a local moduli space of complex structures close to X&sub&0&/sub&. In this paper, we give an analogous statement for Levi-flat CR manifolds fibering properly over the circle by describing explicitely an infinite-dimensional Kuranishi type local moduli space of Levi-flat CR structures. We interpret this result in terms of Kodaira-Spencer deformation theory making clear the likenesses as well as the differences with the classical case. The article ends with applications and examples.

Equidistribution estimates for Fekete points on complex manifolds

We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. The novelty of our approach is that we relate them to the problem of sampling and interpolation on line bundles, which allows us to estimate the equidistribution of the Fekete points quantitatively. In particular we estimate the Kantorovich-Wasserstein distance of the Fekete points to its limiting measure. The sampling and interpolation arrays on line bundles are a subject of independent interest, and we provide necessary density conditions through the classical approach of Landau, that in this context measures the local dimension of the space of sections of the line bundle. We obtain a complete geometric characterization of sampling and interpolation arrays in the case of compact manifolds of dimension one, and we prove that there are no arrays of both sampling and interpolation in the more general setting of semipositive line bundles.

Tenseness of Riemannian flows

We show that any transversally complete Riemannian foliation &em&F&/em& of dimension one on any possibly non-compact manifold M is tense; namely, (M,&em&F&/em&) admits a Riemannian metric such that the mean curvature form of &em&F&/em& is basic. This is a partial generalization of a result of Domínguez, which says that any Riemannian foliation on any compact manifold is tense. Our proof is based on some results of Molino and Sergiescu, and it is simpler than the original proof by Domínguez. As an application, we generalize some well known results including Masa's characterization of tautness.

Characterisation of nanoparticles resulting from different braking behaviours

Brake wear particulate matter (PM) may provoke cardiovascular effects. A system was developed to expose cells to airborne PM from brakes. Six car models were tested, each with full stop and normal deceleration. PM numbers, mass and surface, metals, and carbon compounds were measured. Full stop produced higher PM number and mass concentrations than normal deceleration (up to 10 million particles/cm3 in 0.2 m3 volume). 87% of the PM mass was in the fine (100 nm to 2.5 ìm) and 12% in the coarse (2.5 to 10 ìm) fraction, whereas 74% of the PM number was nanoscaled (ultrafine < 0.1 ìm) and 26% fine PM. Elemental concentrations were 2,364, 236, and 18 ìg/m3 of iron, copper and manganese, respectively, and 664 and 36 ìg/m3 of organic and elemental carbon. PM-release differed between cars and braking behaviour. Temperature and humidity were stable. In conclusion, the established system seems feasible for exposing cell cultures to brake wear PM. [Authors]

[W.] Douglas Hawkes sur AJS [750 cmc, concurrent de la course motocycliste Paris-Nice] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57954

Fred Dover [ou Dove] sur Triumph [750 cmc, concurrent de la course motocycliste Paris-Nice] : [photographie de presse] / [Agence Rol]

Référence bibliographique : Rol, 57967