Background: Understanding of the incident electron energy and angular distributions from clinical electron accelerators (linacs) is important for dosimetry and treatment planning. The most important goals of this study were to evaluate the energy fluence and angular distributions of electron beams from a Neptun 10PC linac using the Monte Carlo (MC) code. Materials and Methods: The lina...

In this paper, we give a ‘direct’ construction of the endomorphism ring of supersingular elliptic curves over a prime field Fp from ‘ideal classes’ of Q( √−p). We use the result to prove that the result of Kaneko on ‘minimal’ CM liftings of such supersingular elliptic curves is a best possible result. We also prove that the result of Elkies on ‘minimal’ CM liftings of all supersingular elliptic...

in this note we review a simple criterion, due to ekedahl, for superspecial curves defined over finite fields.using this we generalize and give some simple proofs for some well-known superspecial curves.

in this study, the four cr-mn-(ni-free) austenitic steels were fabricated by vacuum induction furnace. then plates with 10 mm thickness were fabricated by hot-rolling. corrosion behaviour of the four cr-mn steels in 0.1 m h2so4 solution was investigated using by open-circuit potential, potentiodynamic polarization, and electrochemical impedance spectroscopy (eis). the results indicated that the...

We present a quantitative approach to the measurement of shape dissimilarity between two 3D (three-dimensional) curves. Any 3D continuous curve can be digitalized and represented as a 3D discrete curve. Thus, a 3D discrete curve is composed of constant orthogonal straightline segments. In order to represent 3D discrete curves, we use the orthogonal direction change chain code. The chain element...

BACKGROUND Progressive activation delay starting at long coupling intervals of premature stimuli has been shown to correlate with sudden cardiac death in patients with hypertrophic cardiomyopathy. The purpose of this study was to elucidate the mechanism of increased activation delay in chronically diseased myocardium. METHODS AND RESULTS High-resolution unipolar mapping (105, 208, or 247 reco...

Inclined curves or so-called general helices are well-known curves in the classical differential geometry of space curves [9] and we refer to the reader for recent works on this type of curves [6, 12]. Recently, Izumiya and Takeuchi have introduced the concept of slant helix in Euclidean 3-space E saying that the normal lines makes a constant angle with a fixed direction [7]. They characterize ...

In the preceding paper we described the responses of cells in the cat's lateral suprasylvian visual area (LS) to large-field optic flow and texture movies. To assess response properties such as direction selectivity, cells were also tested with moving bar stimuli. We expected that there would be good agreement between response properties elicited with optic flow movies and those revealed with b...