Poincar-Cartan intregral invariant and canonical trasformation for singular Lagrangians: an addendum

The results of a previous work, concerning a method for performing the canonical formalism for constrained systems, are extended when the canonical transformation proposed in that paper is explicitly time dependent.

Reconstructing images from their most singular fractal manifold

Real-world images are complex objects, difficult to describe but at the same time possessing a high degree of redundancy. A very recent study [1] on the statistical properties of natural images reveals that natural images can be viewed through different partitions which are essentially fractal in nature. One particular fractal component, related to the most singular (sharpest) transitions in the image, seems to be highly informative about the whole scene. In this paper we will show how to decompose the image into their fractal components.We will see that the most singular component is related to (but not coincident with) the edges of the objects present in the scenes. We will propose a new, simple method to reconstruct the image with information contained in that most informative component.We will see that the quality of the reconstruction is strongly dependent on the capability to extract the relevant edges in the determination of the most singular set.We will discuss the results from the perspective of coding, proposing this method as a starting point for future developments.

Molecular dynamics study of the longitudinal modes in disparate-mass binaryliquid mixtures.

A series of molecular dynamics simulations of simple liquid binary mixtures of soft spheres with disparate-mass particles were carried out to investigate the origin of the marked differences between the dynamic structure factors of some liquid binary mixtures such as the Li0.7Mg0.3 and Li0.8Pb0.2 alloys. It is shown that the facility for observing peaks associated with fast-propagating modes in the partial Li-Li dynamic structure factor of Li0.8Pb0.2 should be mainly attributed to the structure of this alloy, which is characterized by an incipient ABAB ordering as found in molten salts. The longitudinal dispersion relations at intermediate wave vectors obtained from the longitudinal current spectra are very similar for the two alloys and reflect the existence of both fast-and slow-propagating modes of kinetic character associated with light and heavy particles, respectively. The influence of the hardness of the repulsive potential cores as well as the composition of the mixture on the longitudinal collective modes is also discussed.

Les modes à travers trois siècles : exposition rétrospective organisée par la Société Nationale des Beaux-Arts, dans les Palais du domaine de Bagatelle, du 15 mai au 15 juillet 1911 : catalogue

[Exposition. Paris, Palais du domaine de Bagatelle. 1911]

Nouveaux modes de consommation du tabac et de la nicotine [New modes of tobacco and nicotine use]

New ways of consuming tobacco or nicotine have recently been developed attracting smokers not only because of their novelty but also because they hope that it will decrease their health risks or will help them in smoking banned places. The objective of this paper is to review the current state of knowledge concerning the waterpipe, oral tobacco, nasal snuff, the electronic cigarette and tobacco heating devices. Although some products seem less harmful than cigarettes, we cannot encourage people to use them because we still do not have sufficient scientific data regarding their safety. Moreover, most of these products are addictive and we still do not know if they will play a role in harm reduction.

Bending modes of DNA directly addressed by cryo-electron microscopy of DNA minicircles.

We use cryo-electron microscopy (cryo-EM) to study the 3D shapes of 94-bp-long DNA minicircles and address the question of whether cyclization of such short DNA molecules necessitates the formation of sharp, localized kinks in DNA or whether the necessary bending can be redistributed and accomplished within the limits of the elastic, standard model of DNA flexibility. By comparing the shapes of covalently closed, nicked and gapped DNA minicircles, we conclude that 94-bp-long covalently closed and nicked DNA minicircles do not show sharp kinks while gapped DNA molecules, containing very flexible single-stranded regions, do show sharp kinks. We corroborate the results of cryo-EM studies by using Bal31 nuclease to probe for the existence of kinks in 94-bp-long minicircles.

Stability-dependent behavioural and electro-cortical reorganizations during intentional switching between bimanual tapping modes

This study investigated behavioural and electro-cortical reorganizations accompanying intentional switching between two distinct bimanual coordination tapping modes (In-phase and Anti-phase) that differ in stability when produced at the same movement rate. We expected that switching to a less stable tapping mode (In-to-Anti switching) would lead to larger behavioural perturbations and require supplementary neural resources than switching to a more stable tapping mode (Anti-to-In switching). Behavioural results confirmed that the In-to-Anti switching lasted longer than the Anti-to-In switching. A general increase in attention-related neural activity was found at the moment of switching for both conditions. Additionally, two condition-dependent EEG reorganizations were observed. First, a specific increase in cortico-cortical coherence appeared exclusively during the In-to-Anti switching. This result may reflect a strengthening in inter-regional communication in order to engage in the subsequent, less stable, tapping mode. Second, a decrease in motor-related neural activity (increased beta spectral power) was found for the Anti-to-In switching only. The latter effect may reflect the interruption of the previous, less stable, tapping mode. Given that previous results on spontaneous Anti-to-In switching revealing an inverse pattern of EEG reorganization (decreased beta spectral power), present findings give new insight on the stability-dependent neural correlates of intentional motor switching. © 2010 Elsevier Ireland Ltd. All rights reserved

Coisotropic regularization of singular Lagrangians

We present an alternative approach to the usual treatments of singular Lagrangians. It is based on a Hamiltonian regularization scheme inspired on the coisotropic embedding of presymplectic systems. A Lagrangian regularization of a singular Lagrangian is a regular Lagrangian defined on an extended velocity phase space that reproduces the original theory when restricted to the initial configuration space. A Lagrangian regularization does not always exists, but a family of singular Lagrangians is studied for which such a regularization can be described explicitly. These regularizations turn out to be essentially unique and provide an alternative setting to quantize the corresponding physical systems. These ideas can be applied both in classical mechanics and field theories. Several examples are discussed in detail. 1995 American Institute of Physics.

Fonctions et modes d'expression de la violence à prendre en compte à l'hôpital de jour

A partir du cas clinique d'une adolescente de 15 ans prise en charge à l'hôpital de jour, nous nous proposons d'observer certaines fonctions et modes d'expression d'une violence explosive. Repérée comme " violente " dès sa petite enfance, cette jeune fille a grandi dans un milieu peu contenant qui n'a cessé de reculer devant sa violence et qui n'a opposé que peu de limites à sa toute-puissance. Son admission à 1 'hôpital de jour fait suite à une situation familiale de crise et une recrudescence des passages à l'acte violents sur sa petite soeur. Les déterminants institutionnels ont alors suscité un redéploiement de la violence, avec des circuits complexes d'expression alternant entre l'auto et l'hétéroagressivité. A la fois répétition et repère iclentitaire, cette violence est également une forme de communication pour l'adolescente qui exprime ainsi divers indicibles, dont sa souffrance, et qui module les orientations de la prise en charge. Les réponses institutionnelles à la violence de cette adolescente, perçue comme extrêmement dangereuse et impulsive, ont la lourde tâche de s'inscrire dans une visée à la fois compréhensive (sur le plan psychopathologique) et répressive-éducative.