Healthy eyes (left).Bilateral congenital cataract (right) Photos: Murray McGavin & Allen FosterEarly detection is important Credit: ICEHCongenital CataractPhoto: Allen Foster

This paper presents a novel sensor-based flexible part orienting system based on the commonly available force/torque sensor. The system orients planar parts arriving on a conveyor belt via a sequence parts into a completed item. Stage (i) is often done with a vibratory bowl feeder. Bowl feeders are a widely accepted method of orienting parts; however, they must be manually redesigned for each n...

The authors of "Relatedness, Conflict, and the Evolution of Eusociality" respond to objections raised by Martin Nowak and Benjamin Allen.

In [Š. Holub & K. Saari, On highly palindromic words, Discrete Appl. Math. 157 (2009), 953–959] the authors proposed to measure the degree of “palindromicity” of a binary word w by ratio |rws| |w| , where the word rws is minimal-palindromic—that is, does not contain palindromic subwords of length greater than ⌈ |w| 2 ⌉ —and the length |r|+|s| is as small as possible. It was asked whether the wo...

Does R&D have an impact on the economic performance of an enterprise? To most economic observers, the obvious answer is yes. However, recent reports by Booz-Allen-Hamilton (BAH 2006, 2007) conclude that the share of spending devoted to research has no relationship to firm growth, profits, and value, and offers support to the view that it is possible to compete successfully in the modern economy...

Given a triangle-free planar graph G and a 9-cycle C in G, we characterize situations where a 3-coloring of C does not extend to a proper 3-coloring of G. This extends previous results when C is a cycle of length at most 8. Disciplines Mathematics Comments Choi, Ilkyoo, Jan Ekstein, Přemysl Holub, and Bernard Lidický. "3-coloring triangle-free planar graphs with a precolored 9-cycle." 68 Europe...

We consider the Allen-Cahn equation ε∆u + u− u = 0 in Ω, ∂u ∂ν = 0 on ∂Ω, where Ω is a smooth and bounded domain in R such that the mean curvature is positive at each boundary point. We show that there exists a sequence εj → 0 such that the Allen-Cahn equation has a solution uεj with an interface which approaches the boundary as j → +∞.