We study the smoothness of quasi-uniform bivariate subdivision. A quasi-uniform bivariate scheme consists of different uniform rules on each side of the y-axis, far enough from the axis, some different rules near the y-axis, and is uniform in the y-direction. For schemes that generate polynomials up to degree m, we derive a sufficient condition for C continuity of the limit function, which is s...

We have studied the transverse and axial equilibrium positions of dielectric micro-spheres trapped in a single-beam gradient optical trap and exposed to an increasing fluid flow transverse to the trapping beam axis. It is demonstrated that the axial equilibrium position of a trapped micro-sphere is a function of its transverse position in the trapping beam. Moreover, although the applied drag-f...

Introduction: We are continuing our program to determine the size distribution of cometary nuclei. We have compiled a catalog of 105 measurements of 57 cometary nuclei, drawn from the general literature, from our own program of CCD photometry of distant cometary nuclei (Lowry and Weissman [1]), and from unpublished observations by colleagues. We model the cumulative size distribution of the nuc...

This paper presents a novel tri-axial rate gyroscope design. It reviews the physics of the gyroscope and specifies the application domain for the gyro. The design is then presented. It features a unique method of operation; CMOS metal layers are used for sensing and activation for all three axes. This method was previously thought of for sensing z-axis vibrations but not activation of z-axis vi...