This paper formulates a continuous model of a grid road network for determining the optimal hierarchical system of road networks. The hierarchical system is represented as the proportions of area taken up by roads at each level of the hierarchy. The objective is to derive the optimal ratio of road areas that minimizes the total travel time. The model explicitly takes into account inward, outwar...

Many countries have implemented strategies to control and eradicate epidemic diseases. These strategies are usually based on either stamping-out or routine vaccination, sometimes complemented by emergency vaccination. The authors describe these strategies, using examples to illustrate each one. The economic evaluation of control and eradication of epidemic diseases is a complex matter. The auth...

In Research News article 1500394, recently developed methods for activating polymerizations employing RAFT agents are described by T. G. McKenzie, C. Boyer, M. Kamigaito, G. G. Qiao, and co-workers. Direct photolysis, or the use of a multitude of (in)organic photoredox catalysts are shown to be effective for activation of radical polymerizations, while various acids are employed together with d...

on the interval [0, 1], where a(x) > 0 on the interior and vanishes simply at the endpoints, and b(x)∂x is a vector field which is inward-pointing at both ends. We consider various aspects of this problem, motivated by their applications in biology, including a comparison of the natural boundary conditions from the probabilistic and analytic points of view, a sharp regularity theory for the “ze...

As studies increasingly use transcranial direct-current stimulation (tDCS) to manipulate brain activity, surprising results are emerging. Specifically, research combining tDCS with electrophysiology is showing that the long-lasting effects of tDCS can counter-intuitively influence specific neural mechanisms active for as little as 100 ms during the flow of human information processing.

We construct one-dimensional potentials V (x) so that if H = ? d 2 dx 2 + V (x) on L 2 (R), then H has purely singular spectrum; but for a dense set D, ' 2 D implies that j(';e ?itH ')j C ' jtj ?1=2 ln(jtj) for jtj > 2. This implies the spectral measures have Hausdorr dimension one and also, following an idea of Malozemov-Molchanov, provides counterexamples to the direct extension of the theore...

Sinnhaftes Agieren durch Lernbegleiter erfordert die zeitnahe Erfassung und Interpretation relevanter Daten und Informationen. Mittels Learning Analytics soll dieser Prozess in einem Virtual Collaborative Learning-Kurs (teil-)automatisiert durchgeführt werden. Anhand eines für die Lernbegleiter erstellten Beobachtungsbogens wurden die zu beobachtenden Inhalte und die dazugehörigen, relevanten D...

s Journals, Nature Clinical Practice Gastroenterology and Hepatology, CAB Abstracts