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 → +∞.

Influence of Emotional Expression on Memory for Vocalizations Jorge L. Armony, Caroline Chochol, Shirley Fecteau, and Pascal Belin Douglas Mental Health University Institute, McGill University, Montreal, Quebec, Canada; Berenson-Allen Center for Non-Invasive Brain Stimulation, Beth Israel Deaconess Medical Center, Harvard Medical School; and Centre for Cognitive Neuroimaging and Department of P...

Zoiial cenitrifuge rotors are relatively large, hollow rotors containing dlensitv gra(lients ani(l offer the poszib)ility of qjumltitative se)aration of qualitatively pure particulate comlpollents of liological systemis (1, 2). The possibility is a con.seq(uenlce of the principles of centrifugationi in density gradients but to achieve it, xve shall have to fashioin inlprove(l tecliiqu1es of zon...

We present a conceptual active optics architecture for a 16-meter aperture, deployed-optics Advanced Technology Large Aperture Space Telescope, to be launched by the Ares V Heavy Lift Vehicle, expected in the 2020 time frame. The ATLAS-T16 will utilize lightweight, deformable primary mirror segments. Wavefront Sensing and Control will be used to establish excellent optical quality following lau...