We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R, which vanish on helicoids and are invariant under screw-motion. In addition, we prove that helicoids are surfaces with vanishing nonlocal mean curvature.

We study the effect of a higher-order nonlinearity in the standard Kuramoto-Sivashinsky equation: partial differentialxG(Hx). We find that the stability of steady states depends on dv/dq , the derivative of the interface velocity on the wave vector q of the steady state. If the standard nonlinearity vanishes, coarsening is possible, in principle, only if G is an odd function of Hx. In this case...

Interactive technologies provide today’s youth a low stakes sandbox to collect experiences (Gee, 2004) and try tasks and identities (Gee, 1991) that push the boundaries of “known” and open up the world of possibility. Pairing affordances of video games with the possible selves framework (Markus & Nurius, 1986), research involved using The Sims 2 life-simulation properties to encourage a friends...

When a polygonal object is pushed with line contact along an edge, the push is called stable if the object remains fixed to the pusher. The object is small-time locally controllable by stable pushing if, by switching among pushing edges, it can be pushed to follow any path arbitrarily closely. Because the pushes are stable by the frictional mechanics, pushing plans can be executed without posit...

The production task queue has a great significance for manufacturing resource allocation and scheduling decision. Man-made qualitative queue optimization method has a poor effect and makes the application difficult. A production task queue optimization method is proposed based on multi-attribute evaluation. According to the task attributes, the hierarchical multi-attribute model is established ...

In this paper we describe the OnEQL system, a query engine that implements optimization techniques and evaluation strategies to speed up the evaluation time of querying and reasoning services in the Semantic Web. To identify execution plans that reduce the cost of evaluating a query, we developed a twofold optimization strategy that combines cost-based optimization and Magic Sets techniques. In...

Intensivists have the potential to maintain vital signs almost indefinitely, but not necessarily the potential to make moribund patients whole. Current ethical and legal mandates push patient autonomy to the forefront of care plans. When patients are incapable of expressing their preferences, surrogates are given proxy. It is unclear how these preferences extend to the very brink of inevitable ...