A sliding camera travelling along a line segment s in a polygon P can see a point p in P if and only if p lies on a line segment contained in P that intersects s at a right angle. The objective of the minimum sliding cameras (MSC) problem is to guard P with the fewest sliding cameras possible, each of which is a horizontal or vertical line segment. In this paper, we give an O(n)-time 3-approxim...

A final size relation is derived for a general class of epidemic mod els, including models with multiple susceptible classes. The derivation depends on an explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models...

One of the most important modes of transmission of Trypanosoma cruzi infection in areas where it is not endemic is vertical transmission: from mother to child. The objective of this report is to assess the efficacy of different programmes of serological screening to monitor infection with T. cruzi in pregnant Latin American women living in Madrid (Spain). To achieve this, a retrospective study ...

Melanie Taylor and colleagues discuss progress towards eliminating vertical transmission of HIV and syphilis.

Field observations of the incurred damages to the buildings and bridges due to earthquakes in near field show there are various failure modes which are in relation to the forces caused by vertical component. While vertical component of earthquake for ordinary buildings in most seismic regulations and standards is not considered. Therefore, in the current study the effects of vertical and horizo...

Marine dinoflagellate diel vertical migrations are often conceptually explained by a species' geotactic and phototactic preferences, but actual simultaneous measurements are rare. Newly collected simultaneous measurements on Heterocapsa (Cachonina) illdefina (Herman and Sweeney) and Gymnodinium breve (Davis) are combined with similar literature information on Amphidinium carterae (Hulbert), Per...

Let S = {l1, l2, l3, . . . , ln} be a set of n vertical line segments in the plane. Though not essential, to simplify proofs we assume that no two li’s are on the same vertical line. A convex polygon weakly intersects S if it contains a point of each line segment on its boundary or interior. In this paper, we propose an O(n log n) algorithm for the problem of finding a minimum area convex polyg...

This investigation demonstrated that the treatment protocol, "Cueing Verbs: A Treatment Strategy for Aphasic Adults" (hereafter referred to as CVT), was an effective rehabilitation technique. Specifically, this CVT was shown to be beneficial with marked/moderate to mild fluent aphasic adults. Additionally, the study addressed such issues as optimal treatment frequencies, treatment initiation an...

In two-dimensional Euclidean space, we examine behaviour of an arc when it crosses a vertical line. There are three types when an arc enters into a line, which are: “Left-In”, “Right-In” and “Oscillating-In”. Also, there are three types when an arc goes out from a line, which are: “Left-Out”, “Right-Out” and “Oscillating-Out”. If an arc is a special polygonal arc, there are only two types for e...