An elementary proof of Euler formula using Cauchy's method

The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the projective plane, the Klein bottle and the pinched torus

Maximum Torque Per Ampere Control Strategy of a 5-phase PM Generator in healthy and faulty modes for tidal marine turbine application

The work presented in this paper aims to propose a control strategy being able to extract efficiently energy from a fixed-pitch marine current turbine associated with a 5–phase Permanent Magnet Synchronous Generator (PMSG) in healthy mode and in faulty mode. The considered faults are opened phases. For each tidal current speed, the control strategy aims to extract the maximum power with respect of the maximum values of currents and voltages related to the converter. The maximum power is directly related to the Maximum Torque per Ampere (MTPA) control strategy characteristics (all the points which are below the MTPA torque VS rotating speed characteristic can be reached by the converter/generator set). This paper proposes a methodology to establish MTPA characteristics and calculate the corresponding current references in healthy mode and in faulty mode (one or two opened phases) for a 5-phase generator. The studied strategy includes flux weakening operations in the both modes.financement CIFRE Jeumont-Electric Altawes

O Teorema de Poincare-Hopf

The Poincare-Hopf Theorem is one of the most used in other areas of science. There are applications of the Poincare-Hopf Theorem in physics, chemistry, biology and even in economics, psychology, etc ... The Poincare-Hopf Theorem connects an invariant of combinatorial, the character of Euler-Poincare to an invariant of differential geometry, index of vector fields. The results that connect two very different areas of mathematics can be considered as the most beautiful, useful and fruitful.Comment: in Portugues

Comparative evaluation of active contour model extensions for automated cardiac MR image segmentation by regional error assessment

Objective: In the field of cardiac MR image segmentation, active contour models, or snakes have been extensively used, owing to their promising results and to the numerous extensions proposed to improve their performance. This paper explores a methodology for evaluating cardiac MR image segmentation algorithms, which assesses the distance between computer-generated and the observer's hand-outlined boundaries. This metric was applied to various external force extensions of the traditional snake, since no systematic comparison has been performed. Materials and methods: Cardiac MRI from six patients were analyzed. Imaging was performed on a 1.5T MR scanner with ECG-gated balanced steady-state free precession (b-SSFP) sequences. Segmentation performances were established for traditional snake, gradient vector flow snake, standard- and guided- pressure force-based snake. The use of a pre-treatment with non-linear anisotropic filtering was also compared to non-filtered images. Results: Agreement between manual and segmentation algorithms was satisfactory for ejection fraction for every segmentation scheme. However end-systolic and end-diastolic volumes were systematically underestimated. Conclusion: The developed regional error metric provided a more rigorous evaluation of the segmentation schemes in comparison to the classical derived parameters based on left ventricle volume estimation, usually used in functional cardiac MR studies. These derived parameters can furthermore mask local segmentation error

Amélioration par micro-ordinateur des acquisitions de données en spectrométrie Auger

La rapidité de mémorisation des techniques numériques permet d'accélérer les mesures et de suivre les évolutions des phénomènes de surfaces

Involvement of electrophysiological localization of the subthalamic nucleus in deep brain stimulation for Parkinson’s disease

We studied the involvement of the electrophysiological localization of the subthalamic nucleus (NST) using a multi-unit recording technique by means of semi-microelectrode in a set of thirty Parkinson’s patients who benefited from a bilateral stimulation of the NST and who were operated on under local or general anesthesia. The multi-unit recording technique by means of semi-microelectrodes appeared efficient,capable of improving the localization of the NST and leading to improvement in clinical results. We believe that the use of our technique will allow for time savings while providing good results, and that the choice of the angle of the trajectory will allow for improved localization of the NST and thus improved clinical results

Genomic conservation of cattle microsatellite loci in wild gaur (Bos gaurus) and current genetic status of this species in Vietnam

<p>Abstract</p> <p>Background</p> <p>The wild gaur (<it>Bos gaurus</it>) is an endangered wild cattle species. In Vietnam, the total number of wild gaurs is estimated at a maximum of 500 individuals. Inbreeding and genetic drift are current relevant threats to this small population size. Therefore, information about the genetic status of the Vietnamese wild gaur population is essential to develop strategies for conservation and effective long-term management for this species. In the present study, we performed cross-species amplification of 130 bovine microsatellite markers, in order to evaluate the applicability and conservation of cattle microsatellite loci in the wild gaur genome. The genetic diversity of Vietnamese wild gaur was also investigated, based on data collected from the 117 successfully amplified loci.</p> <p>Results</p> <p>One hundred-thirty cattle microsatellite markers were tested on a panel of 11 animals. Efficient amplifications were observed for 117 markers (90%) with a total of 264 alleles, and of these, 68 (58.1%) gave polymorphic band patterns. The number of alleles per locus among the polymorphic markers ranged from two to six. Thirteen loci (<it>BM1314</it>, <it>BM2304</it>, <it>BM6017</it>, <it>BMC2228</it>, <it>BMS332</it>, <it>BMS911</it>, <it>CSSM023</it>, <it>ETH123</it>, <it>HAUT14</it>, <it>HEL11</it>, <it>HEL5</it>, <it>ILSTS005 </it>and <it>INRA189</it>) distributed on nine different cattle chromosomes failed to amplify wild gaur genomic DNA. Three cattle Y-chromosome specific microsatellite markers (<it>INRA124</it>, <it>INRA126 </it>and <it>BM861</it>) were also highly specific in wild gaur, only displaying an amplification product in the males. Genotype data collected from the 117 successfully amplified microsatellites were used to assess the genetic diversity of this species in Vietnam. Polymorphic Information Content (PIC) values varied between 0.083 and 0.767 with a mean of 0.252 while observed heterozygosities (<it>H</it>_<it>o</it>) ranged from 0.091 to 0.909 (mean of 0.269). Nei's unbiased mean heterozygosity and the mean allele number across loci were 0.298 and 2.2, respectively.</p> <p>Conclusion</p> <p>Extensive conservation of cattle microsatellite loci in the wild gaur genome, as shown by our results, indicated a high applicability of bovine microsatellites for genetic characterization and population genetic studies of this species. Moreover, the low genetic diversity observed in Vietnamese wild gaur further underlines the necessity of specific strategies and appropriate management plans to preserve this endangered species from extinction.</p