We consider a convex polygonal heat conductor whose inscribed circle touches every side of the conductor. Initially, the conductor has constant temperature and, at every time, the temperature of its boundary is kept at zero. The hot spot is the point at which temperature attains its maximum at each given time. It is proved that, if the hot spot is stationary, then the conductor must satisfy two...

 When an alternating electric current flows through a conductor (wire), Electric-E and Magnetic-H fields are created around the conductor.  If the length of the conductor is very short compared to a wavelength (<< λ/4), the electric and magnetic fields will decrease dramatically within a distance of one or two wavelengths.  However, as the conductor is lengthened, the intensity of the fields...

Motion degradation is a central problem in Magnetic Resonance Imaging (MRI). This work addresses the of how to obtain higher quality, super-resolved motion-free reconstructions from highly undersampled MRI data. In this work, we present for first time variational multi-task framework that allows joining three relevant tasks MRI: reconstruction, registration and super-resolution. Our takes set m...

Overhead transmission lines are influenced by different factors which are mostly electrical and mechanical. These factors can cause problems for lines, distortions in network and outage of line. In designing transmission lines mechanical properties are evaluated after selecting a suitable conductor and clearance with regard to electrical properties. In lines designing, an important mechanical p...

Close to the Mott transition, lattice degrees of freedom react to the softening of electron degrees of freedom. This results in a change of lattice spacing, a diverging compressibility, and a critical anomaly of the sound velocity. These effects are investigated within a simple model, in the framework of dynamical mean-field theory. The results compare favorably to recent experiments on the lay...

Molten Sn and Bi were examined at 973 and 1073 K for use as anodes in solid oxide fuel cells with yttriastabilized zirconia (YSZ) electrolytes. Cells were operated under "battery" conditions, with dry He flow in the anode compartment, to characterize the electrochemical oxidation of the metals at the YSZ interface. For both metals, the open-circuit voltages (OCVs) were close to that expected ba...

the decomposition $gamma=bh$ of a group $gamma$ into a subset $b$ and a subgroup $h$ of $gamma$ induces, under general conditions, a group-like structure for $b$, known as a gyrogroup. the famous concrete realization of a gyrogroup, which motivated the emergence of gyrogroups into the mainstream, is the space of all relativistically admissible velocities along with a binary operation given by t...

Résumé. Dans cet article, nous proposons un système de classification des comptes-rendus mammographiques, reposant sur une ontologie radiologique décrivant les signes radiologiques et les différentes classes de la classification ACR des systèmes BIRADS dans le langage OWL. Le système est conçu pour, extraire les faits issus des textes libres de comptes-rendus en étant dirigé par l’ontologie, pu...