Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the `-Tate pairing in terms of the action of the Frobenius on the `-torsion of the Jacobian of a genus 2 curve. We apply similar techniques to study the non-degeneracy of the `-Tate pairing restrained to subgroups of the `-torsion which are maximal isotropic with respect to the Weil pairing. First, we ded...

We present initial results of a study on the effects of biomechanical influences in the human hand on the natural pen stroke. A geometric model suggests that a user interface, curved to match the natural motion of the hand, would be more appropriate than a user interface aligned with the horizontal and vertical boundaries of the display device. While our results confirm the presence of a curve ...

The new curve contains all of the information about the original curve’s tangent lines. For example, it crosses the y-axis whenever the original curve has a horizontal tangent line. The straight line y = mx + b, or (x(t), y(t)) = (t,mt + b), has only one tangent line and thus a trivial transformation to a point, (x∗(t), y∗(t)) = (m, b). Some conic sections transform to conic sections. For examp...

If a vertical or horizontal section is taken across a digital image and the image values are plotted against distance, a complex curve is produced. An examination of this curve would show sections where the gradients are low (corresponding to smooth tonal variations on the image) and sections where the gradients are high (locations where the digital numbers change by large amounts over short di...

Initial ball flight characteristics of curve and instep kicks were investigated. Fifteen international female footballers performed curve and instep kicks from a distance of 20 m from goal and at a 1 m2 target. Seventeen Vicon cameras tracked three-dimensional coordinates of four reflective markers adhered to the ball. Ball flight characteristics were quantified, and the coordinates of the ball...

Horizontal curves have been recognized as a significant safety issue for many years, a more important factor than road width or sight distance. The research literature suggests that driver errors associated with horizontal curves result from three inter-related problems: failures of driver attention, misperceptions of speed and curvature, and poor lane positioning. To examine the roles of atten...

Dr. Andrew’s proposal (Andrew, 2013) to rename Guyton’s venous return curve the ‘venous pressure curve’ seems unlikely to overcome the decades of misinterpretation and confusion that the Guytonmodel of the systemic circulation has engendered. In Guyton’s experiments venous return curves were produced with a pump connected from the right atrium to the pulmonary artery in an anaesthetized, open c...

The effects of prolonged darkness and dopamine on the coupling between horizontal cells in the isolated, superfused white perch retina were studied. Two assays of coupling were employed; area versus amplitude relationships (area-response curves) and the diffusion of the fluorescent dye Lucifer yellow from intracellularly injected cells to neighboring cells. In prolonged dark-adapted retinas, ar...

A new curve is produced and graphically studied. The name of my daughter, Nada, has been given to this curve; in other words, Nada used describe whenever it paper. “Nada’s curve” a form closed that constructed when the circle’s diameter ellipse’s minor axis share same length, they are tangent by point from drawn line passing through circumstances circle ellipse. Then, these two intersection poi...