We show that a maximal curve over Fq2 defined by the affine equation y = f(x), where f(x) ∈ Fq2 [x] has degree coprime to n, is such that n is a divisor of q+1 if and only if f(x) has a root in Fq2 . In this case, all the roots of f(x) belong to Fq2 ; cf. Thm. 1.2, Thm. 4.3 in [J. Pure Appl. Algebra 212 (2008), 2513–2521]. In particular, we characterize certain maximal curves defined by equatio...

We have studied the relationship between gas exchange and mechanical frequency response during high frequency jet ventilation (HFJV) at 0.5-5.0 Hz in anaesthetized pigs. The mechanical gain curve showed a minimal "anti-resonant" response at 0.8 Hz (f1) and a maximal "resonant" response at 5.0 Hz (f2). This finding may be explained by modelling the thorax and abdomen as a system of coupled masse...

To develop and validate a mathematical model of the relationship between endurance time (T) and power production, 15 male subjects were first tested for maximal power on an instrumented cycle ergometer at 60 rpm. On subsequent days, they were tested for T at various percentages of maximal power. Curves of T as a function of percent maximal power were curvilinear, and could be made to overlap am...

This paper proposes a multi-optimization approach to the autonomous parking of car-like vehicles. It uses a polynomial curve primitive — the η-spline — to build up intrinsically feasible path maneuvers over which to minimize with a weighted sum method the total length of parking paths and the moduli of the maximum path curvature and curvature derivative. The approach takes into account the mand...

BACKGROUND AND PURPOSE Recent advances in flat panel detector angiographic equipment have provided the opportunity to obtain physiologic and anatomic information from angiographic examinations. To exploit this possibility, one must understand the factors that affect the bolus geometry of an intra-arterial injection of contrast medium. It was our purpose to examine these factors in a canine mode...

In this article we consider different approaches for constructing maximal abelian extensions local and global geometric fields. The Lubin–Tate theory plays key role in the extension construction case of fields, Drinfeld modules are particular interest. paper simpliest special projective line which is called Carlitz module. introduction, provide motivation a brief historical background on topics...

We study extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of compact genus two Riemann surfaces. By a combination of analytical and numerical methods we identify four non-degenerate critical points of this function and compute the signature of the Hessian at these points. The curve with the maximal number of automorphisms (the Burnside curve) tur...

We prove a wall-crossing formula for the variation of gauged GromovWitten invariants of a smooth projective G-variety (with fixed domain curve) with respect to the natural stability condition defined by the area of the curve. As an application, we prove a gauged version of the abelianization (or quantum Martin) conjecture of Bertram, Ciocan-Fontanine, and Kim [8], which relates GromovWitten inv...