It is known that symmetric orbits in g∗ for any simple Lie algebra g are equiped with a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the reduced Sklyanin bracket associated to the ”canonical” R-matrix. We realize quantization of this Poisson pencil on CPn type orbits (i.e. orbits in sl(n + 1)∗ whose real compact form is CPn) by means of q-deformed Verma modules. AMS Math...

The growing sophistication in radiation treatment strategies requires the utilization of increasingly accurate, but computationally intense, dose algorithms, such as the electron pencil-beam redefinition algorithm (PBRA). The sequential implementation of the PBRA is in production use at the MD Anderson Cancer center. The PBRA is difficult to parallelize because of the large amounts of data invo...

Motivated by a desire to understand the size distribution of objects in the Kuiper belt, an observing program has been conducted at the CFHT and Palomar 5-m telescopes. We have conducted pencil-beam searches for outer solar system objects to a limiting magnitude of R 26. Fields were searched using software recombinations of many short exposures shifted at diierent angular rates in order to dete...

In this paper, the problem of bounding the number of reducible curves in a pencil of algebraic plane curves is addressed. Unlike most of the previous related works, each reducible curve of the pencil is here counted with its appropriate multiplicity. It is proved that this number of reducible curves, counted with multiplicity, is bounded by d − 1 where d is the degree of the pencil. Then, a sha...

In this paper, the modified matrix pencil method [1] is extended from 2D to 3D for simultaneously estimating azimuth and elevation angles and frequency of multiple signals impinging on a volumetric array of sensors. Conventional matrix pencil method, which is used to estimate unknown parameters, needs a separate algorithm to associate the estimated components with each other to get proper group...

In this paper, a pencil graphite electrode was pretreated using chronoamperometry technique in phosphate buffer solution (pH=7.0) for sensitive determination of quercetin. Oxidation of quercetin was investigated using pretreated pencil graphite electrode and anodic stripping differential pulse voltammetry. Under optimal conditions, the anodic current of quercetin exhibited linear response to it...

In this study, topical effectiveness of silver nitrate pencil on 33 dairy cows with ringworm (Fig. 1) was evaluated. The diameter, number and localized areas of lesions were recorded in each cattle. Later lesions were first cleansed with 70 % ethyl alcohol. Skin scraping and hair specimens were collected of the margin of the lesion using a sterile scalpel blade into sterile petri dish. Lesions ...

Computer-simulated (virtual) environments offer several potential advantages over traditional means (e.g. paper and pencil tests) of assessing people’s spatial knowledge of large-scale environments. We examined the relative accuracy and precision with which people estimated directions among unseen landmarks in a large familiar environment using five different methods. People estimated direction...

OBJECTIVE Pencil grasps other than the dynamic tripod may be functional for handwriting. This study examined the impact of grasp on handwriting speed and legibility. METHOD We videotaped 120 typically developing fourth-grade students while they performed a writing task. We categorized the grasps they used and evaluated their writing for speed and legibility using a handwriting assessment. Usi...

These lines are the intersections of the plane through the point p in the world and the centres of the left and right cameras with the two camera focal planes (see Figure 1). These epipolar lines are formed by the intersections of the pencil of planes through the line joining the image centres with the camera focal planes. Hence such lines form a pencil passing through the point of intersection...