The geometric hitting set problem is one of the basic geometric combinatorial optimization problems: given a set P of points, and a set D of geometric objects in the plane, the goal is to compute a small-sized subset of P that hits all objects in D. In 1994, Bronniman and Goodrich [6] made an important connection of this problem to the size of fundamental combinatorial structures called -nets, ...

A measurement method has been developed to quantify the posture of able-bodied subjects seated in their wheelchair. Fourteen geometric parameters were measured in order to represent the pelvis, trunk and lower limbs orientations. They were defined by digitizing the three-dimensional (3-D) position of 23 anatomical landmarks using a mechanical articulated arm (Microscribe3D, Immersion Corporatio...

We present three sets of results for the stationary distribution of a two-dimensional semimartingale reflecting Brownian motion (SRBM) that lives in the nonnegative quadrant. The SRBM data can equivalently be specified by three geometric objects, an ellipse and two lines, in the two-dimensional Euclidean space. First, we revisit the variational problem (VP) associated with the SRBM. Building on...

BACKGROUND To evaluate and compare the biological impact on different proposed margin recipes for the same geometric uncertainties for intra-hepatic tumors with different tumor cell types or clinical stages. METHOD Three different margin recipes based on tumor motion were applied to sixteen IMRT plans with a total of twenty two intra-hepatic tumors. One recipe used the full amplitude of motio...

Any prediction of the future position and trajectory of an aircraft will contain errors due to both uncertainty caused by the environment and imperfect and incomplete information available to the prediction system. These prediction errors complicate conflict detection and resolution resulting in late or missed conflict detections and false alerts. Generally there are two types of conflict detec...

When a beam of light undergoes a cycle of transformations, then both the electric field component and the quantum state acquire, in addition to a dynamical phase, a geometric phase. The latter depends only on geometric properties such as the enclosed area [ 1 ], or the distance and length [2 ] of the curve that represents the sequence of transformations in an appropriate parameter space. So far...

The Penn State Particle Separator has led to widespread measurement of forage and total mixed ration (TMR) particle size. However, a large proportion of small particles may pass through both sieves when a TMR is analyzed, and field research has suggested that both shaking frequency and sample dry matter may affect the results. The objectives of this project were to test the effects of an additi...

The most common geometric interpretation of the Yang–Baxter equation is by braids, knots and relevant Reidemeister moves. So far, cubes were used for connections with third move only. We will show that there are higher-dimensional cube complexes solving [Formula: see text]-state arbitrarily large text]. More precisely, we introduce explicit constructions covered products text] trees these lead ...

The reflectance factors of transparent fibers, free delustering agent, are predicted by geometric as well as Kubelka-Munk models.&#10 Transparent fibers are simulated by a net of glass capillary tubes containing different solutions of dyestuffs. Based on the results, prediction of the reflectance factor of capillary net by geometric model is relatively better than those obtained from Kubelka-Mu...

a graph that contains a hamiltonian cycle is called a hamiltonian graph. in this paper wecompute the first and the second geometric – arithmetic indices of hamiltonian graphs. thenwe apply our results to obtain some bounds for fullerene.