Let k be a number field, suppose that B is a central simple division algebra over k, and choose any maximal order D of B. The object of this paper is to show that the group DS of S-units of B is generated by elements of small height once S contains an explicit finite set of places of k. This generalizes a theorem of H. W. Lenstra, Jr., who proved such a result when B = k. Our height bound is an...

BACKGROUND The physiological factors which affect left ventricular (LV) long-axis function are not fully defined. We investigated the relationships of resting heart rate and body size with the peak velocities and amplitudes of LV systolic and early diastolic long axis motion, and also with long-axis contraction duration. METHODS Two groups of adults free of cardiac disease underwent pulsed-wa...

A new side-contacted field effect diode (S-FED) structure has beenintroduced as a modified S-FED, which is composed of a diode and planar double gateMOSFET. In this paper, drain current of modified and conventional S-FEDs wereinvestigated in on-state and off-state. For the conventional S-FED, the potential barrierheight between the source and the channel is observed to b...

BACKGROUND Children who have severe early childhood caries (S-ECC) weigh significantly less than caries-free children. The association between S-ECC and weight suggests that its timely treatment at early stages may preserve general health, in addition to preventing pain and infection. OBJECTIVE This study was conducted to evaluate whether children with untreated S-ECC had lower weight and hei...

This paper presents a method to compute curvatures of a surface patch S obtained from a degenerate representation defined over a rectangular domain. To compute curvatures at a point 4 in S where the surface representation is degenerate one has to assume that the point sef S has a tangent plane and well defined curvatures at the point 4 where the curvatures are to be computed. Our computation me...

Nomenclature AoA = Angle of Attack CDF = Cumulative Distribution Function CoG = Center of Gravity CoV = Coefficient of Variation DLR = Deutsches Zentrum fuer Luftund Raumfahrt (German Aerospace Center) hb = ratio of vehicle bottom height to vehicle height hb2 = height parameter, s. Appendix A H = height of vehicle KS = Kolmogorov-Smirnov distance L = length of vehicle L/Dmax = maximum lift-to-d...

Pulsar motions in our Galaxy from their birth until 2 Gyr are studied statistically via Monte-Carlo simulation of 2 × 10 pulsars with the best available representation of the Galactic potential. We find that the distribution of height above the Galactic plane for pulsars with characteristic ages less than about 8 Myr could be well fitted by a Gaussian function. For older pulsars, an extra expon...

Let S be a surface in P2 × P2 given by the intersection of a (1,1)form and a (2,2)-form. Then S is a K3 surface with two noncommuting involutions σx and σy . In 1991 the second author constructed two height functions ĥ+ and ĥ− which behave canonically with respect to σx and σy , and in 1993 together with the first author showed in general how to decompose such canonical heights into a sum of lo...