We study the boundary structure of closed convex cones, with a focus on facially dual complete (nice) cones. These cones form a proper subset of facially exposed convex cones, and they behave well in the context of duality theory for convex optimization. Using the wellknown and very commonly used concept of tangent cones in nonlinear optimization, we introduce some new notions for exposure of f...

Relatively few animal species extract seeds from closed conifer cones because of the forces required to spread apart or penetrate the woody scales. Those species that forage on seeds in closed cones tend to forage selectively, and therefore act as selective agents on cone structure. However, little is known about the foraging preferences and thus phenotypic selection that is exerted on conifers...

In many retinal diseases, the malfunction that results in photoreceptor loss occurs only in either rods or cones, but degeneration can progress from the affected cell type to its healthy neighbors. Specifically, in human and mouse models of Retinitis Pigmentosa the loss of rods results in the death of neighboring healthy cones. Significantly less is known about cone-initiated degenerations and ...

Using the T -algebra machinery we show that the only strictly convex homogeneous cones in R with n ≥ 3 are the 2-cones, also known as Lorentz cones or second order cones. In particular, this shows that the p-cones are not homogeneous when p 6= 2, 1 < p <∞ and n ≥ 3, thus answering a problem proposed by Gowda and Trott.

OBJECTIVES To evaluate the effectiveness of chlorhexidine (CHX) or sodium hypochlorite (NaOCl) in disinfecting gutta-percha cones, to verify contamination of gutta-percha cones in their boxes, and to identify microorganisms after intentional contamination by handling cones. STUDY DESIGN Gutta-percha cones contaminated in vitro with several microorganisms were left in contact with tested disin...