Sobre as diferenças entre éthos com epsílon e êthos com eta

O objetivo deste artigo consiste em detalhar como os termos éthos (grafado com epsílon) e êthos (com eta), ao mesmo tempo em que diferem, se completam entre si. Visto que os dois termos estão intimamente associados aos conceitos de phýsis (de natureza) e de moîra (de necessidade ou destino) este estudo quer também explicitar como se dá essa inter-relação.

Group-invariant solutions of semilinear Schrodinger equations in multi-dimensions

Symmetry group methods are applied to obtain all explicit group-invariant radial solutions to a class of semilinear Schr¨odinger equations in dimensions n = 1. Both focusing and defocusing cases of a power nonlinearity are considered, including the special case of the pseudo-conformal power p = 4/n relevant for critical dynamics. The methods involve, first, reduction of the Schr¨odinger equations to group-invariant semilinear complex 2nd order ordinary differential equations (ODEs) with respect to an optimal set of one-dimensional point symmetry groups, and second, use of inherited symmetries, hidden symmetries, and conditional symmetries to solve each ODE by quadratures. Through Noether’s theorem, all conservation laws arising from these point symmetry groups are listed. Some group-invariant solutions are found to exist for values of n other than just positive integers, and in such cases an alternative two-dimensional form of the Schr¨odinger equations involving an extra modulation term with a parameter m = 2−n = 0 is discussed.

Etude du rôle de la réponse UV sur le contrôle de la réparation par excision de nucléotides (NER) des dommages à l’ADN : rôle des voies MAPK et de l’ADN polymérase eta

La réponse cellulaire aux ultra-violets (UV), ou réponse UV, est une réponse complexe et spécialisée dans l’adaptation et la tolérance des dommages aux UV. Celle-ci est initiée par un grand nombre d’évènements moléculaires et de signalisation nucléaire mais aussi au niveau de la membrane plasmique ou du cytoplasme. L’importance et l’influence exactes de ces évènements sur la réparation par excision de nucléotides (NER) des dommages UV à l’ADN sont encore mal comprises et doivent encore être méthodiquement démontrées. Dans cette thèse, grâce à l’utilisation d’une méthode sensible d’analyse de la réparation NER basée sur la cytométrie en flux, il est montré, dans un premier temps, que l’activité des voies MAPK (Mitogen-Activated Protein Kinases), qui sont des voies de signalisation de stress UV d’origine cytoplsamique, ne participent pas à l’efficacité de réparation NER des dommages UV dans les cellules humaines. En effet, l’abrogation de la signalisation MAPK, par inhibition pharmacologique, par utilisation de mutants dominant-négatifs ou par inhibition de leur expression endogène, ne révèlent aucun changement de la cinétique de réparation des dommages UV par excision de nucléotides. Cependant, l’utilisation de cette même méthode de réparation, mais cette fois, appliquée pour l’étude de réparation NER en fonction du cycle cellulaire, a permis de mettre en évidence la nécessité fonctionnelle de l’ADN polymérase translésionnelle eta (Pol η) dans la réparation NER des dommages UV, uniquement en phase S. Cette observation fut initialement caractérisée dans les cellules de patients affectés du syndrome variant de xérodermie pigmentaire (XP-V) puis, confirmée ensuite par l’inhibition de l’expression de Pol η endogène ou par la complémentation avec des mutants non-fonctionnels dans les cellules XP-V. Ces résultats indiquent que, contrairement à la réponse UV MAPK cytoplasmique, les évènements nucléaires comme la synthèse translésionnelle, peuvent influencer l’efficacité de réparation NER en phase S. Plus particulièrement, ces données établissent un lien possible entre la réparation NER en phase S et les niveaux de stress réplicatifs, révélé ici par la déficience fonctionnelle Pol η ou ATR. Les observations, présentées dans cette thèse, renforcent un rôle du point de contrôle S aux UV sur l’efficacité de la réparation NER et suggèrent que l’inhibition NER, observée en phase S dans les cellules XP-V, est modulée par le stress réplicatif. Un tel moyen de contrôle pourrait avoir une action plutôt protectrice pendant cette phase critique du cycle cellulaire. Mots clés: UV, translésionnelle, eta, MAPK, NER, CPD, cytométrie, phase-S, tolérance.

Size invariant measures of association: characterization and difficulties

A measure of association is row-size invariant if it is unaffected by the multiplication of all entries in a row of a cross-classification table by a same positive number. It is class-size invariant if it is unaffected by the multiplication of all entries in a class (i.e., a row or a column). We prove that every class-size invariant measure of association as-signs to each m x n cross-classification table a number which depends only on the cross-product ratios of its 2 x 2 subtables. We propose a monotonicity axiom requiring that the degree of association should increase after shifting mass from cells of a table where this mass is below its expected value to cells where it is above .provided that total mass in each class remains constant. We prove that no continuous row-size invariant measure of association is monotonic if m ≥ 4. Keywords: association, contingency tables, margin-free measures, size invariance, monotonicity, transfer principle.

Invariant discretizations of partial differential equations

Un algorithme permettant de discrétiser les équations aux dérivées partielles (EDP) tout en préservant leurs symétries de Lie est élaboré. Ceci est rendu possible grâce à l'utilisation de dérivées partielles discrètes se transformant comme les dérivées partielles continues sous l'action de groupes de Lie locaux. Dans les applications, beaucoup d'EDP sont invariantes sous l'action de transformations ponctuelles de Lie de dimension infinie qui font partie de ce que l'on désigne comme des pseudo-groupes de Lie. Afin d'étendre la méthode de discrétisation préservant les symétries à ces équations, une discrétisation des pseudo-groupes est proposée. Cette discrétisation a pour effet de transformer les symétries ponctuelles en symétries généralisées dans l'espace discret. Des schémas invariants sont ensuite créés pour un certain nombre d'EDP. Dans tous les cas, des tests numériques montrent que les schémas invariants approximent mieux leur équivalent continu que les différences finies standard.

Invariant density for a class of initial distributions under quadratic mapping

For the discrete-time quadratic map xt+1=4xt(1-xt) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.

Invariant Characterization of Neural Systems

It is shown that the invariant integral, viz., the Kolmogorov second entropy, is eminently suited to characterize EEG quantitatively. The estimation obtained for a "clinically normal" brain is compared with a previous result obtained from the EEG of a person under epileptic seizure.

Form-invariant bivariate weighted models

In this paper the class of continuous bivariate distributions that has form-invariant weighted distribution with weight function w(x1, x2) ¼ xa1 1 xa2 2 is identified. It is shown that the class includes some well known bivariate models. Bayesian inference on the parameters of the class is considered and it is shown that there exist natural conjugate priors for the parameters

State-of-the-Art: Transformation Invariant Descriptors

As the popularity of digital videos increases, a large number illegal videos are being generated and getting published. Video copies are generated by performing various sorts of transformations on the original video data. For effectively identifying such illegal videos, the image features that are invariant to various transformations must be extracted for performing similarity matching. An image feature can be its local feature or global feature. Among them, local features are powerful and have been applied in a wide variety of computer vision aplications .This paper focuses on various recently proposed local detectors and descriptors that are invariant to a number of image transformations.

Rotation Invariant Real-time Face Detection and Recognition System

In this report, a face recognition system that is capable of detecting and recognizing frontal and rotated faces was developed. Two face recognition methods focusing on the aspect of pose invariance are presented and evaluated - the whole face approach and the component-based approach. The main challenge of this project is to develop a system that is able to identify faces under different viewing angles in realtime. The development of such a system will enhance the capability and robustness of current face recognition technology. The whole-face approach recognizes faces by classifying a single feature vector consisting of the gray values of the whole face image. The component-based approach first locates the facial components and extracts them. These components are normalized and combined into a single feature vector for classification. The Support Vector Machine (SVM) is used as the classifier for both approaches. Extensive tests with respect to the robustness against pose changes are performed on a database that includes faces rotated up to about 40 degrees in depth. The component-based approach clearly outperforms the whole-face approach on all tests. Although this approach isproven to be more reliable, it is still too slow for real-time applications. That is the reason why a real-time face recognition system using the whole-face approach is implemented to recognize people in color video sequences.

Rotation Invariant Object Recognition from One Training Example

Local descriptors are increasingly used for the task of object recognition because of their perceived robustness with respect to occlusions and to global geometrical deformations. Such a descriptor--based on a set of oriented Gaussian derivative filters-- is used in our recognition system. We report here an evaluation of several techniques for orientation estimation to achieve rotation invariance of the descriptor. We also describe feature selection based on a single training image. Virtual images are generated by rotating and rescaling the image and robust features are selected. The results confirm robust performance in cluttered scenes, in the presence of partial occlusions, and when the object is embedded in different backgrounds.

Matching Interest Points Using Projective Invariant Concentric Circles

We present a new method to perform reliable matching between different images. This method exploits a projective invariant property between concentric circles and the corresponding projected ellipses to find complete region correspondences centered on interest points. The method matches interest points allowing for a full perspective transformation and exploiting all the available luminance information in the regions. Experiments have been conducted on many different data sets to compare our approach to SIFT local descriptors. The results show the new method offers increased robustness to partial visibility, object rotation in depth, and viewpoint angle change.

Strategies of psychological terrorism perpetrated by ETA's network : Delimitation and classification

Resumen tomado de la publicaci??n

Cooperación franco-española frente al terrorismo de ETA durante los gobiernos de José Luis Rodríguez Zapatero, Jacques Chirac y Nicolás Sarkozy

Esta monografía analiza la amenaza que representa ETA para Francia y España; la respuesta frente al problema de los Estados implicados y propone los posibles factores limitantes a la cooperación que no han permitido eliminar la amenaza terrorista.