The Guarding Reflex Revisited

Optimally Guarding 2-Reflex Orthogonal Polyhedra by Reflex Edge Guards

We study the problem of guarding an orthogonal polyhedron having reflex edges in just two directions (as opposed to three) by placing guards on reflex edges only. We show that ⌊ r − g 2 ⌋

Brainstem reflex circuits revisited.

Our current understanding of brainstem reflex physiology comes chiefly from the classic anatomical-functional correlation studies that traced the central circuits underlying brainstem reflexes and establishing reflex abnormalities as markers for specific areas of lesion. These studies nevertheless had the disadvantage of deriving from post-mortem findings in only a few patients. We developed a ...

Spasm of the near reflex: treatment with miotics revisited.

Spasm of the near reflex, as first described by Cogan in 1955, is a triad of intermittent convergent strabismus, accommodative spasm, and pupillary miosis. The accommodative spasm induces pseudo-myopia that is usually accompanied by visual blurring. It is a functional disorder that has been attributed to hysteria, although it can have an organic etiology. Definitive treatment remains problemati...

Guarding Art Galleries by Guarding Witnesses

Let P be a simple polygon. We define a witness set W to be a set of points such that if any (prospective) guard set G guards W , then it is guaranteed that G guards P . We show that not all polygons admit a finite witness set. If a finite minimal witness set exists, then it cannot contain any witness in the interior of P ; all witnesses must lie on the boundary of P , and there can be at most o...

Guarding the Body