The Homogeneity Range in the System UP(O)

A large number of samples of uranium monorphosphide were prepared by direct reaction between uranium filings and red phosphor us, followed by homogenization in a high temperature furnace (Degussa) at 1200-1300 °c and a pres,sure of 10-4 Torr (1 Torr = 101.325/760 kPa). Samples were analyzed for uranium, phosphorus and nitrogen, assuming that the difference is oxygen. The oxygen content wa.s found to vary from sample to sample, ranging from 0.54 (min.) up to 7.10 wt. O/o (max.). X-ray analysis did not indicate the presence of U02• The amount of oxygen or nitrogen was not controled in advance, but final results ensured the working hypothesis, since the analytical data were in acordance with the X-ray powder diagrams

Complexity for extended dynamical systems

We consider dynamical systems for which the spatial extension plays an important role. For these systems, the notions of attractor, epsilon-entropy and topological entropy per unit time and volume have been introduced previously. In this paper we use the notion of Kolmogorov complexity to introduce, for extended dynamical systems, a notion of complexity per unit time and volume which plays the same role as the metric entropy for classical dynamical systems. We introduce this notion as an almost sure limit on orbits of the system. Moreover we prove a kind of variational principle for this complexity.Comment: 29 page

Kinect4FOG: Monitoring and Improving Mobility in People with Parkinson’s using a Novel system incorporating the Microsoft Kinect v2

Parkinson’s is a neurodegenerative condition associated with several motor symptoms including tremors and slowness of movement. Freezing of Gait (FOG); the sensation of one’s feet being ‘glued’ to the floor, is one of the most debilitating symptoms associated with advanced Parkinson’s. FOG not only contributes to falls and related injuries, but also compromises quality of life as people often avoid engaging in functional daily activities both inside and outside the home. In the current study, we describe a novel system designed to detect FOG and falling in People with Parkinson’s (PwP) as well as monitoring and improving their mobility using laser-based visual cues cast by an automated laser system. The system utilises a RGB-D sensor based on Microsoft Kinect v2 and a laser casting system consisting of two servo motors and an Arduino microcontroller. This system was evaluated by 15 PwP with FOG. Here, we present details of the system along with a summary of feedback provided by PwP. Despite limitations regarding its outdoor use, feedback was very positive in terms of domestic usability and convenience, where 12/15 PwP showed interest in installing and using the system at their homes