In many microwave applications, an accurate knowledge of the complex permittivity properties of materials is usually required. A new procedure for the accurate determination of these properties is presented, based on an optimization algorithm that makes use of measured scattering parameters and simulated results of a cylindrical rod of dielectric material passing completely through a rectangula...

In this paper, we present a new space partitioning scheme for ray tracing based algorithms which divides a given region of the scene into cylindrical slices. Our rst motivation was to nd a four-connected partitioning scheme that is eecient for the parallel architecture we use for our parallel rendering environment 7], but the technique is interesting by itself and may be useful in sequential en...

In this section we provide the form of the projection functions Pv(`, c) that convert from geographic locations to pixel locations in aerial view and street view images. We give the form of the inverse function P−1 v (`′, c) that converts from pixel locations to geographic coordinates. Aerial images: Aerial view imagery in Google maps is represented using a Web Mercator projection, a type of cy...

The magnetic field of a permanent magnet is calculated analytically for different geometries. The cases of a sphere, cone, cylinder, ring and rectangular prism are studied. The calculation on the axis of symmetry is presented in every case. For magnets with cylindrical symmetry, we propose an approach based on an expansion in Legendre polynomials to obtain the field at points off the axis. The ...

Bypass of Ess1 (Bye1) is a nuclear protein with a domain resembling the central domain in the transcription elongation factor TFIIS. Here we show that Bye1 binds with its TFIIS-like domain (TLD) to RNA polymerase (Pol) II, and report crystal structures of the Bye1 TLD bound to Pol II and three different Pol II-nucleic acid complexes. Like TFIIS, Bye1 binds with its TLD to the Pol II jaw and fun...

2014 We propose a theory to calculate the pressure gradient and the liquid fraction in two-phase gasliquid fully developed stratified flow in a cylindrical duct of arbitrary cross-section and slope and its application to near horizontal ducts. Its validity is limited to Reynolds numbers high enough to ensure turbulent flow in both phases. Droplet entrainment or bubble inclusion have not been ta...

Discussed are two numerical packages for computing equilibrium structures of liquid crystals. The first uses Frank elasticity in a rectangular geometry in two spatial dimensions. The second uses a tensor order parameter and Landau-deGennes free energy in the geometry of a finite circular cylinder. The Frank code is being used to study the phenomenon of the “stripe phase” in thin nematic films i...

The probability that a randomly accelerated particle in two dimensions has not yet left a simply connected domain A after a time t decays as e−E0t for long times. The same quantity E0 also determines the confinement free energy per unit length ∆f = kBT E0 of a semiflexible polymer in a narrow cylindrical pore with cross section A. From simulations of a randomly accelerated particle we estimate ...

This paper is devoted to the asymptotic analysis of the problem of linear elasticity for an anisotropic and inhomogeneous body occupying, in its reference configuration, a cylindrical domain with a rectangular cross section with sides proportional to ε and ε and clamped on one of its bases. The sequence of solutions u of the equilibrium problem is shown to converge in an appropriate topology, a...